diff --git a/CHANGELOG.md b/CHANGELOG.md --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -1,3 +1,1838 @@ +# CHANGELOG for crypton + +## 2.1.7 + +One fix: RSA-PSS verification was accepting a signature RFC 8017 says to +refuse. It is a conformance fault rather than a forgery -- producing such a +signature takes the private key, since it is the signer who chooses the +encoding, and a third party holding a valid signature cannot turn it into +one of these. + +* fix(pss): RSA-PSS verification refuses an encoding with a bit set outside + `emBits`, as RFC 8017 9.1.2 step 6 requires. Step 9 clears those bits in + DB and crypton did that; clearing is not checking, so an encoding the + standard calls inconsistent verified as though it were sound -- the bit + that made it wrong was thrown away before anything looked at it. Only the + signer can produce such a signature, since it takes the private key to + sign a chosen encoding, so this is conformance rather than forgery. Found + with tlsfuzzer, in the `xor 0x80 at 0` case of + `test-tls13-certificate-verify.py`, while testing hs-tls + +## 2.1.6 + +Two things a caller could walk into, the licence field saying what the tree +actually holds, and the C building without a warning. + +* fix(pbkdf2): an output length of zero no longer takes the process down. + `tryFastPBKDF2_*` passed it through to C, where `assert(out && nout)` + aborted -- crypton's C is built without `NDEBUG`, so its assertions are + live in a release. `Crypto.KDF.PBKDF2.tryGenerate` has always answered + with an empty result for the same request, and the fast paths now agree +* fix(p256): `Crypto.PubKey.ECC.P256.scalarInv` returns on a zero scalar + rather than looping for ever. `scalarFromBinary` accepts any 256 bits, so + a zero scalar is easy to come by, and the binary extended Euclid behind + `scalarInv` has no exit for it: zero stays even and is halved for ever. + A hang inside a foreign call is not interruptible, so `System.Timeout` was + no help either. It now answers zero, which is what the function already + answered for the other input with no inverse, and what `scalarInvSafe` + answers for both. crypton's own ECDSA was never exposed: it rejects a + zero scalar before inverting, and uses `scalarInvSafe` +* doc(cabal): the `license:` field says what the tree holds -- + `BSD-3-Clause AND MIT AND ISC` -- and `license-files:` lists the five + licence texts, where a tool looking for licences will find them. The + parts of `cbits/aes/gcm_fused_x86.c` that follow picotls's `fusion` now + carry its MIT notice beside the file. **Nothing is required of a user + that was not required before**: crypton's own code is BSD-3-Clause as it + always was, and the MIT and ISC code was already in the tree -- the field + was silent about it. Raised by Joey Hess in #232, and settled with the + help of Kazuho Oku, who divided `fusion` between what derives from + OpenSSL and what does not, and rewrote the former upstream +* fix(c): the sanitizer build is quiet again. `crypton_sha256_finalize` and + `crypton_sha512_finalize` say that their pointers are never null, which + they never were. gcc's `-Wstringop-overflow` had been reporting them as + writing "into a region of size 0" at "address zero" under + `-fsanitize=undefined`: UndefinedBehaviorSanitizer inserts a null check + before `memcpy`, because glibc declares `memcpy` nonnull, and the check + puts a null path in front of the warning pass. Stating the contract + removes the path rather than the warning, and costs nothing -- compiled as + the package compiles it, the assembly is identical either way +* fix(pbkdf2): an instantiation whose digest is larger than its block is + refused where it is written rather than after it has overflowed. The + macro that builds the three PBKDF2 variants shortens a long key by hashing + it into a buffer the size of the block, and asserted afterwards that the + result fitted -- afterwards being too late, since the write has already + happened. The check is a compile-time one now. The three that exist are + unaffected: SHA-1, SHA-256 and SHA-512 have digests of 20, 32 and 64 bytes + against blocks of 64, 64 and 128 + +## 2.1.5 + +crypton 2.1.3 and 2.1.4 cannot be built with GCC 14 or newer; it was +reported from a Fedora 43 system, which ships GCC 15. This release is that +fix, and two things that came with it. + +* fix(x86): the C builds with GCC 14 and newer again. + `crypton_sha1_x86_do_chunk` was declared taking `const uint32_t buf[16]` + while every caller passes a `const uint8_t *`, and GCC 14 made + `-Wincompatible-pointer-types` an error by default where GCC 13 only warns. + The declaration now says `const uint8_t buf[64]`, which is the block size + SHA-1 actually takes and what the two sibling functions already said. + Reported as #282 and fixed in #284, both by @tbidne, who bisected it to + the commit that introduced the declaration. CI now builds the C with + gcc-14 as well, so the next one of these is caught before release +* perf(armv8): AES-GCM is about a quarter faster on AArch64, which puts it + ahead of OpenSSL 4.0.3 rather than behind it -- 1.15 at AES-128 and 1.06 + at AES-256 on an Apple M4, from 0.86. The GHASH no longer keeps H the way + GCM writes it; it is twisted once at key setup so that GCM's bit + reflection is already undone, which turns a reduction of some twenty-five + shifts and XORs into two PMULL and six EOR, and makes Karatsuba worth + taking -- three multiplications a block rather than four. Against the + previous code over 16 KiB messages: 1.34 at AES-128 and 1.23 at AES-256 on + an M4, and 1.25 across the three key sizes on a Neoverse N2. The scheme + is ARM's, from the BSD-3-Clause part of + https://github.com/ARM-software/AArch64cryptolib +* test(armv8): the constant-time harness runs on AArch64, where it never had. + It was pinned to one x86-64 job, so the AArch64 AES and GHASH had never + been put to it; they are now, and they let no secret decide a branch or an + address. Running it somewhere new also found a fault in the harness + itself: it counted the frame `--track-origins` prints to say where a value + came from as a place that branched on a secret, which invented a finding + rather than hiding one + +## 2.1.4 + +2.1.3 could not be built from Hackage at all in the default configuration, +and is deprecated there. This release is that fix and three more. + +* fix(cabal): the source distribution carries `cbits/p256/p256_verify.h`. + No field named it, so it was absent from the 2.1.3 tarball, and + `cbits/p256/p256_ec.c` includes it whenever `support_s2n_bignum` is on -- + which is every x86-64 and aarch64 machine that leaves the flag alone. The + package built perfectly from a git checkout and not at all from Hackage. + Reported as #270 by Laurent P. Rene de Cotret on the day 2.1.3 went out, + fixed by gev in #271 +* fix(armv8): the C builds with gcc before 13 again. A function that uses an + AArch64 extension says so with `__attribute__((target(...)))`, and the + spelling used -- `target("+sha3")` -- is one clang has always taken and gcc + learned in 13. Before that the extension never reaches the function and an + `always_inline` intrinsic that needs it cannot be inlined, which stops the + build rather than slowing it. Naming the architecture beside the extension + is understood by both compilers at every version, so gcc is given that + spelling. Reported as #273 by gev, against 2.1.1, 2.1.2 and 2.1.3 +* fix(sha256): SHA-256 on AArch64 is no longer five times slower than it was + in 2.1.2 -- 644 MB/s against 3396 over 16 KiB on an Apple M4. The + CRYPTOGAMS assembly picks its path from `crypton_armcap_P` rather than from + a flag in the C, and the bit was set only while that flag was still + unresolved; 2.1.3 added a constructor that resolves it before anything + runs, so the bit was never set and the assembly took its generic path on + every processor. SHA-1 was unaffected, its constructor setting the + corresponding bit itself, and the SHA-512 assembly is x86 only. No test + could have caught this: the answers were right all along, only slow +* test(ci): three jobs for the three ways the above went unnoticed. One + builds the source distribution and then builds the library from it + somewhere other than the checkout, since nothing had ever built a tarball + and listing one is not building it. One installs gcc-12 and builds the C + with it, the runner's own gcc being 13, which is why a report covering + three releases never reproduced here. Both are verified against the bug + they exist for: each was red before its fix and green after + +# CHANGELOG for crypton + +## 2.1.3 + +* fix(number): the arithmetic crypton falls back to when it is built without + GMP no longer walks off the end of a buffer. `fillPtr` writes a number out + starting at its last byte and stops at offset zero, so a number of no bytes + -- which is what zero is -- started it at minus one, and it never stopped. + The same build also had `exponentiation` fail to terminate on a negative + exponent, stepping between -1 and -2 until the stack ran out, where + `expFast` and `expSafe` both reach it; `numBits` fail to terminate on a + negative number; `numBits 0` answer one where GMP answers zero, so that + `numBytes 0` claimed a byte that is not there; and a modulus of one answer + one rather than zero in two places. Every corner is now held to what the + GMP build answers on the same input, and `-integer-gmp` has a CI job so + that it stays that way +* fix(cabal): `-fsupport_sse` no longer selects the SSE BLAKE2 and Argon2 + sources on architectures that have no SSE, where they cannot compile, and + `-fold_toolchain_inliner` links again -- one of the sixteen inline + definitions in `cbits/decaf/include/word.h` had lost its `static`, which + `-fgnu89-inline` turns into a duplicate symbol. Both flags now have a CI + job +* fix(p256): `crypton_p256_shl` and `crypton_p256_shr` no longer shift a + digit by its own width, which the standard leaves undefined and which x86 + and ARM answer differently. Nothing in the library calls either, which is + why the sanitizers had not reported them: they can only report what runs +* fix(headers): `crypton_skein256.h` and `crypton_skein512.h` declared six + functions under a misspelling of the package's own name, so the six the C + defines had no prototype at all. `crypton_chacha.h` and `crypton_salsa.h` + each typedef'd a union to the bare name `block`, so no translation unit + could include both; they are `crypton_chacha_block` and + `crypton_salsa_block` now +* security(c): seven places that erase key material and then let the memory + die -- five that `memset` a buffer and `free` it on the next line, two that + clear a recoded scalar in a local going out of scope -- now write through a + volatile pointer, which a compiler may not remove. clang at -O2 was + keeping all seven, but that is its choice rather than a guarantee. RSA-2048 + signing is unchanged at 1479.3 microseconds against 1480.0 on an Apple M4 +* perf(ed448): the scalar arithmetic on Apple Silicon runs on 64-bit limbs + rather than 32-bit ones. decaf sized its field limbs from the architecture + and its scalar limbs from a macro it worked out from the compiler, and the + two disagreed wherever `uint_fast32_t` is four bytes, so the same aarch64 + CPU took 64-bit field limbs and 32-bit scalar limbs on macOS and 64-bit for + both on Linux. Ed448 signing is 5.5% quicker for it, 20.69 to 19.56 + microseconds on an M4 +* perf(p256): the one addition in each scalar multiplication that can be a + point added to itself goes through a complete formula rather than being + detected and worked around. Kyle Butt pointed out that the comb's table is + affine, so the same three numbers are the point in projective coordinates + and in Jacobian ones, which is what lets a comb built on Jacobian + arithmetic step into the formula for one addition. It costs about a third + of a percent, and buys an argument a reader had to follow becoming a + comparison a machine can run +* doc(hash): the Haddock for `Context` says that it is not erased when it + is finished with, what survives in it, and why scrubbing every one is not + done -- it costs about 70% of a 32-byte hash, where the allocation is most + of the work +* test(c): the C is now checked in CI for things the test suite cannot ask + about: whether it is the same on a 32-bit machine and on a big-endian one, + whether a private key ever decides a branch or an address, what a secret + leaves behind in memory, and whether anything breaks on generated input. + Each of the last four carries a probe that is deliberately wrong and has to + be reported, because a check that has quietly stopped working otherwise + reads as a clean bill of health -- which, four times over the course of + this work, is exactly what it did + +* doc(cabal): every dependency has an upper bound, which `cabal check` had + been asking for, and `bytestring` is no longer listed twice in the same + `build-depends` + +* fix(c): the table that says which AES implementation to call is filled in + once, before there is a second thread, rather than on every + `crypton_aes_initkey`. Two threads taking a key at the same time were + writing the whole table at the same time, which ThreadSanitizer reports + forty-four times over for eight threads doing nothing else. The same for + the flags that say whether to use the ARMv8 SHA-1, SHA-256 and SHA-512 + instructions. Nothing has ever come of it -- the values written are the + same ones every time and the table starts out holding valid generic + implementations -- but it is a race the standard gives no meaning to. + Taking an AES key is 6.7% quicker for not doing the work again: 72.1 to + 67.3 nanoseconds on an Apple M4 +* fix(c): the C no longer reads a word off a caller's pointer by casting it, + which the standard leaves undefined at an address the word type is not + aligned for and which UndefinedBehaviorSanitizer reported on seventy-eight + lines. `crypton_align.h`'s accessors go through `memcpy`, the ten hash + implementations read their block a word at a time rather than pointing at + it as though it were an array of words, and `block128` is packed so that a + caller's pointer may be one. The non-aligned trampolines those hashes kept + for the case are gone with it. Measured on an Apple M4, every hash and + AES-GCM is where it was, within a tenth of a per cent. The sanitizers now + run in CI with nothing turned off +* fix(c): two left shifts the C standard leaves undefined, found by building + the C with UndefinedBehaviorSanitizer and running the test suite. One + shifted a carry into the sign bit of a signed 64-bit digit in + `cbits/p256/p256.c`, the other shifted a negative value in + `cbits/decaf/ed448goldilocks/decaf.c`. Neither miscomputes on any compiler + crypton is built with, and the values are unchanged; what they were was a + licence the standard gives the compiler and no reason to give it +* security(cipher): a message of 2^32 bytes or more no longer has its length + truncated on the way to the C, which takes its lengths as `uint32_t`. It + used to be: `Crypto.Cipher.ChaCha.combine` given 2^32 + 64 bytes enciphered + 64 of them and returned the rest as it found the buffer -- 4 GiB of zeros + where the ciphertext should have been, with nothing returned to say so. + `Crypto.Hash` has cut its work into 2 GiB pieces for this reason since + before crypton; nothing else did. + + Where the C carries its state in a context and can simply be called again, + the work is now cut up the same way and a long message is enciphered: + `Crypto.Cipher.ChaCha`, `Crypto.Cipher.Salsa`, `Crypto.Cipher.XSalsa`, + `Crypto.Cipher.RC4`, `Crypto.MAC.Poly1305`, and AES-GCM's incremental + interface -- which is what `Crypto.Cipher.ChaChaPoly1305` and + `Crypto.MAC.KMAC` reach it through. + + Where it cannot -- the one-call AEADs, which do the whole message in one + call, and the AES modes, which are handed the IV and do not hand it back -- + the message is refused: `CryptoError_ParameterInvalid` from + `Crypto.Cipher.AES.GCM` and `Crypto.Cipher.ChaCha.Poly1305`, and an error + from AES ECB, CBC, CTR, XTS, OCB and CCM. ECB, CBC and XTS count blocks + rather than bytes, so their limit is sixteen times further out. + `Crypto.Cipher.AESGCMSIV` already refused, and still does +* perf(p256): the comb that multiplies the base point takes five bits of the + scalar at a time from each of two blocks rather than four, over the signed + all-bits-set representation, so the table stays the same size while the + loop goes from 32 steps to 26: 25 doublings and 52 mixed additions against + 31 and 64, which is 19% fewer field operations. An ECDSA P-256 signature + goes 25.52 to 22.47 microseconds on an Apple M4. This is the C path, which + x86-64 and AArch64 do not take -- they have the vendored assembly -- so it + is for i386, armv7, riscv64, ppc64le, s390x and the rest. The arrangement + was suggested by Kyle Butt. + + One scalar below the order makes the last addition of the comb add a point + to itself, which the formulas there cannot do; it was found by searching + the sign patterns rather than by sampling, and the recoder now reports it + and the answer is the doubling. Every other addition is ruled out, the 48 + from step two upwards by parity and size and the two of step one by + exhausting the 2^20 sign patterns that could reach them +* security(aes): `Crypto.Cipher.AES.GCM` refuses a nonce of no bytes, which + its four functions used to accept. SP 800-38D 5.2.1.1 asks for at least + one byte, and with none GCM's pre-counter block is zero, so the tag of a + message is `GHASH_H(A, C) XOR E(K, 0^128)` -- and `E(K, 0^128)` is the + GHASH key `H` itself. One full tag therefore gives `H` away; `H` belongs + to the key rather than to the nonce, so an attacker who has it, and one + genuine message under any nonce, can forge a tag that verifies for data of + their own under that nonce, twelve-byte ones included. `encrypt` and + `decryptWithTag` now throw `CryptoError_IvSizeInvalid`, `decrypt` gives + `Nothing` and `encryptWithMask` gives `False` and writes nothing. Only the + empty nonce is refused; every other length stays allowed. The general + interface has refused it since 2.1.0 and this module did not. Affects + 2.1.0, 2.1.1 and 2.1.2. Reported by arybczak in + [#249](https://github.com/kazu-yamamoto/crypton/issues/249) +* perf(rsa): the multiply-accumulate at the bottom of the modular + exponentiation takes four limbs to an iteration on AArch64, with the flags + carrying through two long chains -- one for the low halves of the four + products, one for the high halves a place up -- where the compiler writes + a chain per limb and spends two instructions moving each carry between the + flags and a register. Measured on an Apple M4, an RSA-2048 signature goes + 593.0 to 515.9 microseconds through the Haskell API and the exponentiation + itself 590.1 to 514.9. The ragged end of a row -- three limbs, two or + one -- is written out the same way rather than handed back to C, which + matters because mont_sqr asks for every length from n-1 down to 1: that is + a further two per cent of the exponentiation, 514.2 to 504.9. The + arrangement follows addMulVVWx in Go's crypto/internal/fips140/bigmod, + which is BSD-3-Clause as this library is; cbits/LICENSE.go carries its + notice. Three other arrangements were tried and measured worse, and the + comment above the function says which and why, so that they are not tried + again +* perf(rsa): a Montgomery multiplication no longer clears its 2n-limb + scratch first. The first row of the product lands on empty space, so it + is written rather than added to, and every row after it reads only limbs + an earlier row has already put there. Worth between a half and one per + cent of an RSA-2048 signature on an Apple M4, which is less than it + sounds like it should be: the clearing was cheap, and what it cost was + mostly the row that had to add to zeros +* perf(rsa): the R^2 that Montgomery arithmetic needs before it can start is + built by squaring rather than by doubling a bit at a time. Write a value + as 2^(lgR + d) mod m; a Montgomery squaring divides by R, so it takes that + to 2^(lgR + 2d) and doubles d. The climb from R to R^2 is then the binary + expansion of lgR -- ten squarings for a 1024-bit modulus, where there were + a thousand and twenty-five doublings. On an Apple M4 the setup goes 24.74 + to 2.07 microseconds, and an RSA-2048 signature does it twice, once for + each CRT half: the signature goes 512.3 to 466.9 through the Haskell API + and the two exponentiations 502.6 to 457.0. Curves that go through + crypton_ecc.c pay the same setup once per context and gain the same. + Public-key operations still go through GMP and do not change +* perf(ecdsa): P-256 verification multiplies both scalars at once, in + variable time, where it used to do two constant-time multiplications and + add the results. Everything a verification touches is public -- the + message, the signature and the public key -- so the constant-time work + there was paid for nothing, and the two multiplications can share their + doublings besides. Both scalars go into non-adjacent form, width 7 for + the base point, whose odd multiples are a table in the library, and width + 5 for the public key, whose eight are built per call; one pass down the + digits does a doubling at every step and an addition where a digit is not + zero. Measured through the Haskell API on an Apple M4, a verification + goes 30.37 to 25.48 microseconds, and the multiplication itself 29.94 to + 25.34; on an x86-64, 85.04 to 71.53. Signing is untouched. s2n-bignum's + point addition is correct except when its two arguments are the same + point, which is the side condition its proof carries, so a sum that comes + out as the point at infinity from arguments that were not is given up on + and the constant-time pair answers instead -- 1203 cases covering that, + including 41 that take the fallback, agree with the old answers on both + architectures +* perf(gcm): AES-GCM uses the 512-bit form of the AES and carry-less + multiply instructions where the processor has them and they are worth + having, which is Ice Lake and Zen 5 onwards. Four blocks to an + instruction where the 256-bit form takes two; a group is thirty-two + blocks in eight registers and its GHASH is two passes of sixteen, since + sixteen is how many powers of H the table holds. Measured on GitHub's + runners over 16 KiB, AES-128-GCM and AES-256-GCM in MB/s: an EPYC 9V45 + goes 9616 to 14268 and 8422 to 12674, a Xeon 6973P-C 8095 to 9848 and + 7187 to 8323, a Xeon 8573C 6983 to 8447 and 6166 to 7113. Zen 4 is left + on the 256-bit path -- there the 512-bit instructions are two passes + through a 256-bit datapath, and AES-GCM measured slightly slower -- and + the run-time check asks for three more bits of XCR0 as well as the + instruction bits, since a machine can report these and still fault on + them +* perf(ed25519): the base point multiplication goes through s2n-bignum, + which signing does twice -- once for the nonce's point and once for the + public key, which `sign` derives from the secret key every time rather + than trusting the one it is handed. Measured through the Haskell API on + an Apple M4, signing goes 11.92 to 7.27 microseconds and `toPublic` 5.97 + to 3.52; at the C level on an x86-64 without ADX, where the `_alt` form + runs, a public key goes 13.25 to 9.93 and a signature with the key in + hand 14.74 to 11.34. Verification is untouched: it multiplies two + scalars at once and crypton's variable-time code is ahead of the + constant-time assembly there. ed25519-donna's table stays for every + other architecture, and 5000 key and signature pairs agree between the + two paths on both architectures +* perf(rsa): the masked scan of the exponentiation's table goes four limbs + at a time on x86-64 with AVX2. Every entry of the table is read and a + mask keeps the one the window asks for, which is what keeps the address + stream off the exponent, and at RSA-2048's CRT size that is two kilobytes + read per window with 256 windows to an exponentiation -- 11% of the whole + where s2n-bignum's multiplication runs, measured by taking the scan out + altogether. With the vector form almost all of it comes back: one + RSA-2048 CRT private operation goes 812.4 to 720.8 microseconds against a + 707.1 floor with no scan at all, and on the same machine without ADX + 1646.1 to 1599.3. AArch64 keeps the scalar form, where the same + measurement puts the scan at 1% and there is nothing to win. The + processor is asked once per call, and without the AVX2 bit, or built + without `use_target_attributes`, the scalar scan is what runs +* perf(rsa): the modular exponentiation squares into the other of its two + buffers and swaps them, rather than squaring into one and copying it back. + That is a copy of the modulus' width saved 1280 times per exponentiation, + and which of the three buffers a pointer names is nobody's secret, so + nothing about the timing changes. Measured by thread CPU time, best of + many, on one RSA-2048 CRT private operation: an Apple M4 goes 604.3 to + 595.9 microseconds and an x86-64 without ADX 1678.0 to 1665.6. Where + s2n-bignum's multiplication runs the difference is below the noise, that + multiplication being most of the time there. Also writes down what a + five-bit window is worth, which was measured and is not taken: 3.5% on the + M4, 1% the wrong way on an older x86-64, and 7% the wrong way wherever the + assembly runs, because a table twice as long is a masked scan twice as long + +## 2.1.2 + +* perf(gcm): AES-GCM uses the 256-bit form of the AES and carry-less + multiply instructions where the processor has them, which is Zen 3 and Ice + Lake onwards. Measured on an EPYC 7763 over 16 KiB, in the library as + cabal builds it, AES-128-GCM goes 4245 to 6042 MB/s and AES-256-GCM 3932 + to 5463 -- 1.42 and 1.39 times, and ahead of OpenSSL 3.0.13 on that + machine, which reaches 4266 and 3946. `crypton_cpu.c` asks the processor + first and everything else is unchanged +* perf(x25519): X25519 goes through s2n-bignum, and key generation reads a + table rather than multiplying the base point 9 the general way, which is + what crypton did for want of anything else. Measured through the Haskell + API on an Apple M4, the shared secret goes 19.87 to 13.78 microseconds and + a key generation 19.92 to 3.83 -- on x86-64 the C level is 41.19 to 26.96 + and 41.18 to 8.54. The RFC 7748 vectors say the answers are the same +* perf(ecdsa): inverting modulo the group order, which ECDSA does once per + signature and once per verification, takes a fixed number of division + steps instead of a whole exponentiation. Measured on an Apple M4: + P-256 6.02 to 0.80 microseconds, P-384 31.3 to 1.20, P-521 63.2 to 2.05. + Through the Haskell API that is ECDSA P-256 signing 11.77 to 7.10, which + is faster than OpenSSL on that machine, verification 36.75 to 32.10, and + P-384 signing 171.6 to 151.3. `inverseSafe` carries it, so DSA, ElGamal, + RSA's `qinv` and `Crypto.PubKey.ECC.Prim` get it too; it checks its answer + by multiplying out, as it always has, and falls back where that fails +* perf(rsa): the modular exponentiation's Montgomery multiplication and + square go through s2n-bignum on x86-64 with ADX, which is twice as fast as + the C there because the C cannot form the two carry chains `ADCX` and + `ADOX` give: measured on an EPYC 7763 at 1024 bits, 0.4832 to 0.2479 + microseconds for a multiplication and 0.3984 to 0.1994 for a square. The + window, the table and its masked scan are untouched, and so is every other + size and architecture -- on AArch64 the C measures faster than the + assembly, so nothing is even vendored for it +* perf(p256): ECDSA signing is 2.4 times faster and verification 2.2, which + finishes what the two entries below began. Signing and key generation go + through s2n-bignum's fixed-base routine, which reads a table of multiples + of the base point that `cbits/p256/gen_base_table.py` builds and that the + test suite checks against crypton's own answer; verification goes through + that one and the variable-point one, with the addition of the two left + where it was. Measured through the Haskell API on an Apple M4, signing + goes 28.55 to 12.03 microseconds and verification 82.68 to 37.73, which + leaves both within a tenth of OpenSSL on that machine where they were at + four tenths of it. The table costs 52 KiB of constant data, against the + 2.4 KiB of the one it replaces +* perf(ecc): P-384 and P-521 go through s2n-bignum as well, where the curve + is exactly one of those two. Measured through the Haskell API on an Apple + M4, ECDH P-384 goes 549.5 to 75.4 microseconds and ECDSA P-384 + verification 772.4 to 295.8; at the C level P-384 is 7x and P-521 between + 9 and 10x, on both architectures. Signing does not move: there is no + fixed-base routine upstream for these two, so it keeps crypton's comb. + Every other curve `crypton_ecc_mul` is asked about, including these two + named with a different a or b, goes on to the C as before +* perf(p256): ECDH is 2.7 times faster on x86-64 and AArch64. The + variable-point scalar multiplication now goes through AWS's + [s2n-bignum](https://github.com/awslabs/s2n-bignum), vendored in + `cbits/s2n`: hand-written assembly, constant-time, and carrying a + machine-checked proof in HOL-Light that it computes what it says. Measured + through the Haskell API on an Apple M4, ECDH P-256 goes 57.50 to 21.32 + microseconds; at the C level it is 2.6x there, 3.2x on an x86-64 with ADX + and 2.6x on the `_alt` path taken where `CPUID` does not report it. Its licence is `Apache-2.0 OR ISC OR MIT-0`, + which is what makes this possible at all -- OpenSSL's and BoringSSL's + `ecp_nistz256` is Apache-2.0 only. Every other architecture keeps the C, + as does Windows for now, and `-f-support_s2n_bignum` turns it off +* perf(p256): the field inversion takes the least squarings an exponent of + 256 bits can be done in. It built the low 94 ones of p-2 in a second + accumulator and multiplied the two at the end, which cost 287 squarings + where 255 will do; the exponent is now built left to right from the shape + of p-2 in one pass. Measured on an Apple M4 the inversion goes 4.224 -> + 3.765 microseconds, about 11%, which is 0.9% of an ECDH since that is where + the inversion sits. The same 13 multiplications either way + +## 2.1.1 + +* docs(rsa): the haddock says what the optional blinder covers -- that the + private exponent is not what is at risk, `expSafe` keeping its value out of + the work, and that what a blinder covers is the input, which without one is + the ciphertext as it arrived and so a number an attacker may have chosen. + The eight places taking a `Maybe Blinder` point at t'Blinder' rather than + repeating half of it; the four in `Crypto.PubKey.RSA.PSS` said nothing at + all before + +* feat(chachapoly): `Crypto.Cipher.ChaCha.Poly1305`, which does a whole + ChaCha20-Poly1305 message in one call, the shape `Crypto.Cipher.AES.GCM` + has. `Crypto.Cipher.ChaChaPoly1305` takes a message in steps, which is + right when it arrives in pieces and is eight foreign calls and the + allocations between them when it was already whole. Measured on an Apple + M4 through the Haskell interface, a 100-byte message goes 0.97 -> 0.415 + microseconds and a 1400-byte one 2.89 -> 2.36. The nonce is the twelve + bytes RFC 8439 defines; eight is the other ChaCha construction and is + refused rather than quietly encrypted under a scheme nobody asked for + +* feat(gcm): `Crypto.Cipher.AES.GCM.decryptWithTag`, which decrypts and hands + back the tag it computed rather than comparing it. For a protocol that + carries the tag apart from the ciphertext, where `decrypt` -- which wants + the two together -- does not fit. It returns an `AuthTag`, whose `Eq` is a + constant-time comparison, so the safe way to use it is also the obvious one + +* feat(ecdsa): `Crypto.PubKey.ECDSA` gains the deterministic nonce of RFC + 6979, which `Crypto.PubKey.ECC.ECDSA` already had. The fast module was the + one without it, so moving to it for the speed meant giving up the one + protection against the mistake that hands over an ECDSA private key. Three + new names: `deterministicNonce`, and `signDeterministic` and + `signDigestDeterministic` over it. Held to the implementation in + `Crypto.PubKey.ECC.ECDSA`, which is itself held to the vectors in the RFC, + on P-256, P-384 and P-521 with SHA-1 through SHA-512 + +## 2.1.0 + +* perf(p256): a signed five-bit window for the variable-point scalar + multiplication, which is what ECDH and ECDSA signing spend their time in. + The scalar is recoded into 52 digits, every one of them odd, so the table + holds only the odd multiples P, 3P, ..., 31P and a negative digit costs a + negation of y, which is free. The main loop goes from 252 doublings and 64 + additions to 255 and 51, and -- because no digit is zero and no partial sum + is the infinity -- it drops the masks that stood in for infinity on every + iteration. The table is built so that each pair of neighbouring odd + multiples comes out of one doubling and one addition that shares everything + but a squaring and a multiplication between X+P and X-P. Counted exactly, + the field multiplications and squarings go 3477 -> 3326. Measured on an + idle Intel Haswell, thirty runs each, ECDH is 158.5 -> 153.3 microseconds, + about 4%; on an Apple M4 under desktop load the difference did not come out + of the noise. One scalar, 30, would have reached the last addition with + the accumulator equal to the point being added, which these formulas cannot + do; the recoder detects that from the scalar and the last iteration doubles + instead. Suggested by Kyle Butt + +* perf(gcm): GHASH takes the ciphertext from the output buffer. A group's + multiplies are issued between the rounds of the group after it, and the + blocks were copied into six registers' worth of scratch to wait there -- + six stores a group for bytes that had just been written to the output + anyway. The multiplies read the output instead, which is what picotls's + fusion does. On an Intel Haswell this is worth two to three points against + fusion between 400 and 1440 bytes, and it removes the queue from the + AES-128 path + +* perf(gcm): decryption takes the fused path too, on both x86-64 and + AArch64. It had been left on the generic framing, so a received packet + cost what a sent one did before any of this: measured at 100 bytes, three + times what encrypting the same packet cost on either. It is the simpler of + the two -- what GHASH absorbs is the ciphertext, and the ciphertext is the + input, so the multiplies need not wait on the AES and nothing is carried + between groups. On an Intel Haswell, 100 bytes goes 0.165 -> 0.050 + microseconds and 1440 bytes 0.362 -> 0.290; on an Apple M4, 0.230 -> 0.077 + and 0.396 -> 0.321. Decrypting is now about what encrypting is rather than + three times it. The tag is still compared a byte at a time over its whole + length whichever way the answer goes + +* perf(gcm): let the one-call interface specialise. `gcmFullEncrypt`, + `gcmFullDecrypt` and `gcmFullEncryptMask` take three `ByteArrayAccess` + arguments and were marked `NOINLINE`, which is this module's habit and is + right for a wrapper that is called once; these are called once a packet. + With no specialisation every `withByteArray` and every `length` went through + a dictionary, and on an Apple M4 that measured **0.15 of the 0.265 + microseconds** a 100-byte packet cost through the Haskell interface -- more + than the encryption it wrapped. Marked `INLINABLE` so the caller can + specialise them, 100 bytes falls to 0.128, where the same work measured in C + is 0.114: the Haskell layer costs 0.014 rather than 0.15 + +* perf(gcm): build the length block and the initial counter in registers. + The length block -- the two bit counts GHASH ends on -- was assembled by + sixteen byte stores to the stack and read back, which measured about 9 of + the 58 nanoseconds a 100-byte packet cost. Reversed the way every block is + on its way to GHASH, that block is just the two counts as little endian + words with the message's in the low half, so one `_mm_set_epi64x` makes it + and no shuffle is needed. The initial counter likewise: the nonce is read + where it lies and masked, rather than in three pieces of four bytes. On an + Intel Haswell a 100-byte packet goes from 0.058 to 0.049 microseconds. With + this every length measured is at 90 per cent of fusion's speed or better -- + 100 bytes 90 and 95 with the header protection mask, 200 bytes 96, 1440 + bytes 94, 16 KiB 95 -- where the series began at 31 per cent for 100 bytes + +* perf(gcm): read a short block without going through the stack. Zeroing + sixteen bytes, copying the block in and loading them back is three trips to + memory with a store the load must wait for, and at packet lengths that was a + tenth of the call. The sixteen bytes are read where they lie and what is + above the length masked off, which is safe everywhere except at the end of a + page -- and a block near the end of a page whose own bytes stop short of it + is read aligned, which cannot leave the page, and shuffled down. This is + how picotls's fusion does it. On an Intel Haswell a 100-byte packet goes + from 0.0625 to 0.058 microseconds, 79 per cent of fusion's speed against 73, + and with the header protection mask 83 +* perf(gcm): the tail of a message gets what the groups already had. The + six-wide pass that finishes a message was still running its rounds from a + loop over a count held in the key, so the compiler could not place the + waiting multiplies between them, and the blocks it produced went through an + array indexed by a loop variable, which it cannot see through -- each block + then reloaded its own keystream from memory. Written out for the ten rounds + of AES-128, with the multiplies at slots named at compile time, and the + blocks taken from the registers the pass left them in. The pass itself + falls from about 29 to 6 nanoseconds; on an Intel Haswell 112 bytes is 13 + per cent faster and 400 bytes goes from 81 to 86 per cent of fusion's speed + +* perf(gcm): give E(K,Y0) a lane that would otherwise sit idle, and stop + copying the last short block through the stack. Six blocks are in flight + whatever the message length, so a message leaving a tail of four blocks or + fewer has lanes to spare; the block that masks the tag rides in one of them + instead of taking ten rounds nothing overlaps, which at 100 bytes measured + 9.3 of 78.9 nanoseconds. And the last short block was stored to the stack + and copied back, when the tag that follows it is about to overwrite the + bytes above it anyway -- where there are sixteen to spare, one store does. + On an Intel Haswell, 100 bytes goes from 60 to 69 per cent of fusion's speed + and 200 bytes from 68 to 82 + +* perf(gcm): build the counter block without leaving the vector registers, + and keep each power of H beside its Karatsuba term. Both came from reading + what picotls's `fusion` does differently. The counter was being stepped in + a general register, byte swapped there and inserted into a vector one, which + is a move across register files for every lane and six to a group; held + byte reversed in a vector register instead, `_mm_add_epi32` steps the low + thirty-two bits and wraps them where GCM wants, and a shuffle puts the bytes + back. The powers were in two arrays 256 bytes apart, so a multiply touched + two cache lines for operands it always wants together; they are now + adjacent. On an Intel Haswell a 1200-byte message goes from 0.311 to 0.281 + microseconds and 1440 bytes from 79 to 90 per cent of fusion's speed. The + multiplies are also now genuinely issued between the AES rounds, which the + comment claimed and the generated code did not do: a test before each one + ended the basic block the scheduler works inside, and the first group is + peeled so that there is nothing to test + +* perf(gcm): the same for AArch64, where what costs is the framing rather + than a missing fast path. `armv8_impl.c` already encrypts eight blocks at a + time and folds their GHASH into one reduction; what sat outside it was the + additional data, the tag and the counter, each reached through the branch + table so that the running state went back to memory between them and a + one-block header paid a reduction of its own. Measured on an Apple M4, that + framing was 0.07 of the 0.112 microseconds a 100-byte packet cost -- more + than the encryption of the packet itself. Taking the whole message in one + call, with the tag and the counter in registers from end to end and the + additional data and the length block riding in the same batches as the + ciphertext: a 100-byte packet 3.0x, 200 bytes 2.6x, 400 bytes 1.6x, 1200 + bytes 1.30x, 1440 bytes 1.23x, and level from about 6 KB up. With the QUIC + header protection mask, 100 bytes is 3.3x. Unlike x86-64 there is no length + above which something else is faster, because there is no vendored assembly + on this side to hand a long message to, so every length goes this way. Held + against the interface it replaces on two key sizes, seven lengths of + additional data, fifteen message lengths up to 16 KB, three tag lengths and + every sample offset that fits + +* perf(gcm): a fused AES-GCM for x86-64, for messages short enough that the + stitched assembly will not take them. That assembly refuses anything under + 288 bytes, so until now a QUIC packet paid for the AES key schedule and the + GHASH one block at a time, through a branch table that put the 128-bit state + back in memory at every step: a 100-byte packet cost 0.153 us of which the + encryption was a small part. This is the design Kazuho Oku sets out for + picotls's `fusion` -- keep AES-NI issuing every clock, six blocks in flight, + and fit the additional data, the tag and the QUIC header protection mask + into the gaps between the rounds -- written in C with intrinsics, for the + reason he gives: what is complicated here is the scheduling, and it has to + stay readable to stay correct. On an Intel Haswell a 100-byte packet goes + from 0.153 to 0.082 us and a 1200-byte one from 0.373 to 0.317, and the + header protection mask becomes **free** wherever it can be taken: 400 bytes + is 0.131 with it and 0.131 without, against 0.181 and 0.177, because it + rides in a lane of the AES pipeline that the message length leaves idle + rather than taking a block of its own. It can be taken there only when the + sample lies in output already written and the two key schedules are the same + length, which is what TLS and QUIC do; otherwise it is computed after the + tag, where everything it may cover exists. Above + 1536 bytes the assembly is faster -- by 12 per cent at 3 KB and 20 at 16 KB + -- so longer messages still go there and nothing about TLS-sized records + changes. The powers of H are built once per key, sixteen of them, which + adds 512 bytes to what a key holds and no parameter to any interface: a + power per block of the message would fold the whole GHASH into one reduction + but would make that state grow with the longest message a caller might send. + Held against the incremental interface on every combination of three key + sizes, seven lengths of additional data, twelve message lengths and three + tag lengths + +* fix(cpu): stop reading Intel's SDBG bit as AMD's XOP, which crashed SHA-512 + and ChaCha20 on Broadwell and later. The vendored assembly dispatches on a + capability word this library fills, and reads bit 11 of its second dword as + XOP -- which is CPUID leaf 0x80000001 ECX bit 11, an AMD extended leaf. + crypton put the raw leaf 1 ECX there, whose bit 11 is SDBG, the silicon + debug interface, which Intel has reported since Broadwell. On such a + processor `sha512-x86_64.S` took `.Lxop_shortcut` and + `chacha-x86_64.S` took `.Lcrypton_chacha20_asm_4xop`, and the first + `vprotq` is an invalid opcode: SIGILL, for SHA-512 and SHA-384, and for + ChaCha20 and so ChaCha20-Poly1305. OpenSSL clears leaf 1's bit 11 before + merging the real flag in; crypton now clears it and leaves it clear, so the + XOP paths are never taken. Nothing is lost -- XOP ran from AMD's Bulldozer + to Excavator and Zen dropped it -- and it is the reason the AVX-512 bits + beside it are cleared as well. Reported by @lucasdicioccio, who + disassembled the trap + [#202](https://github.com/kazu-yamamoto/crypton/issues/202) + +* feat(aes): `encryptWithMask`, for the QUIC header protection mask. QUIC + takes the sample for its header protection from the ciphertext, so the mask + cannot be had before the encryption -- but it can be had before coming back. + `newHeaderKey` builds the second key schedule once, where `quic` builds it + per packet, and `encryptWithMask` seals the message and writes the sixteen + bytes of mask, both into buffers the caller already has, so that nothing is + allocated for either. On an Apple M4 the mask then costs about 0.02 us + against 0.09 to 0.11 asked for separately: a 1440-byte packet goes from + 0.473 to 0.382 us and a 100-byte one from 0.343 to 0.260. Most of that is + the allocations rather than the crossing -- a version returning the two as + bytearrays was measured at 0.419 and 0.299, so it recovered less than a + third of it -- and the AES block itself is under two nanoseconds + +* feat(aes): `Crypto.Cipher.AES.GCM`, for many short messages under one key. + The interface in `Crypto.Cipher.Types` builds a state from the key *and* the + nonce and then walks it through appending the additional data, encrypting + and finalizing, copying the 320-byte state at each step. For a stream that + is nothing next to the encryption; for a datagram it is most of the work. + Measured on an Apple M4, a 1440-byte packet with a 20-byte header took + 1.30 us, of which 0.17 us was the encryption: the AES key schedule and the + table of multiples of `H` were rebuilt for every nonce although both depend + on the key alone, and three state copies and four foreign calls carried the + rest. A `Context` now holds what the key determines and is built once, and + `encrypt` takes a nonce and a whole message and answers in one call, giving + the ciphertext with the tag after it -- the shape a packet wants. `decrypt` + takes that shape back and compares the tag itself, in C, looking at every + byte either way. 1440 bytes: 1.30 to 0.37 us, 3.5x; 100 bytes 0.83 to 0.23; + a 16 KiB TLS record 2.86 to 2.20, where the saving is the setup rather than + the call. A message of 4 KiB or less goes through an unsafe foreign call, + which is worth 0.075 us and is only right because such a call is over + quickly; anything longer keeps the safe one. This computes what the general + interface computes, which the tests hold it to on the same vectors +* Breaking change: fix(chachapoly1305): take a checked key, so that + initializing cannot fail. The nonce was already a checked type, built by + `nonce8`, `nonce12` or `nonce24`, so the key length was the only way + `initialize` and `initializeX` could fail -- and callers answered that with + `throwCryptoError`, `tls` among them, where + `noFail (ChaChaPoly1305.nonce12 nonce >>= ChaChaPoly1305.initialize key)` + re-checked a length once per record for a key fixed for the connection. + There is now a `Key` with `key` to build one, and + `initialize :: Key -> Nonce -> State` and + `initializeX :: Key -> XNonce -> State` are total. + `aeadChacha20poly1305Init` is unchanged and still reports a bad key length. + This also closes the last of #28: `initFromRootState` wrapped a + `throwCryptoError` around a `B.take 32`, and the Poly1305 key type now has a + home in a hidden module so the modules here that know the length can say so + [#193](https://github.com/kazu-yamamoto/crypton/issues/193) + +* feat(hash): Skein with the digest size as a type parameter. Skein is + defined for any digest size and the C here has always taken one -- the + length goes to `crypton_skein512_init` and `crypton_skein512_finalize`, and + the output is produced in counter mode for as many blocks as are asked for + -- but Haskell could only reach the four sizes that had a type of their own. + `Skein256 (bitlen :: Nat)` and `Skein512 (bitlen :: Nat)` take any, in the + manner `SHAKE128` and `SHAKE256` already did; `Skein512 512` is + `Skein512_512`, which the tests hold it to, and the named types are + untouched. This also brought back the `Skein256-160` and `Skein512-160` + known-answer vectors, which had been commented out of the test suite for + want of a type to run them against. One large digest is a good deal cheaper + than the same bytes from repeated small ones: 512 KiB at 947 MB/s in one + digest against 172 MB/s as 8192 separate `Skein512_512` ones, on an M4 + [#56](https://github.com/kazu-yamamoto/crypton/issues/56) + +## 2.0.0 + +* fix(docs): export the names the documentation already referred to. + `Crypto.Number.ModArithmetic` throws `CoprimesAssertionError` and + `ModulusAssertionError` from `inverseCoprimes` and `squareRoot`, and said so + in the haddock, without exporting either, so a caller could not name the + exception it was told to expect; `Crypto.PubKey.Rabin.Types.generatePrimes` + takes a `PrimeCondition` in its exported signature and that synonym was not + exported either. All three are now exported + [#195](https://github.com/kazu-yamamoto/crypton/pull/195) + +* Breaking change: fix(bcrypt): refuse a cost bcrypt does not have rather than + substituting one. A cost below 4 came back as a cost-10 hash and a cost + above 31 as a cost-31 one, with nothing said either way, so a caller asking + for something bcrypt does not do was answered with something else and had no + way to tell -- `hashPassword 3` and `hashPassword 10` returned the same + thing. Both ends are now reported as `CryptoError_ParameterInvalid`, which + is what every other KDF here already did for a refused parameter. + `hashPassword` can therefore fail where it could not before, so + `tryHashPassword` is added beside it; the salt it generates is always the + right length, so the cost is the only thing it can report + [#59](https://github.com/kazu-yamamoto/crypton/issues/59) + +* Breaking change: fix(poly1305): take a checked key, so that initializing + cannot fail. A Poly1305 key is thirty-two bytes and nothing else about it + can be wrong, so `initialize` returning a `CryptoFailable` put an error case + in front of every caller for a length most of them know is right -- and they + answered it with `throwCryptoError`, this library included: the one in + `Crypto.Cipher.ChaChaPoly1305` guarded a `B.take 32`, and `auth` did not + even do that, it called `error`. There is now a `Key` with `key` to build + one, the length is checked there, and `initialize :: Key -> State` and + `auth :: Key -> ba -> Auth` are total. A caller checks once and then + initializes as often as it likes with nothing to handle. `initialize k` + becomes `initialize <$> key k` where the length is unknown, and where it is + known the check moves to where the key is made. `Key` has no `Show`, as + key material should not + [#28](https://github.com/kazu-yamamoto/crypton/issues/28) + +* fix(pubkey): stop printing private keys. `Show` is what `print`, a message + built with `error`, an exception and a test framework's failure output all + reach for, so it is the instance a key travels on when nobody meant to send + it anywhere; the library already kept that promise for the secret keys held + in a `ScrubbedBytes`, and the documentation for `ScrubbedBytes` advertises + it, while ten other types printed theirs in full. Those ten -- + `RSA.PrivateKey` and `RSA.KeyPair`, `DSA.PrivateKey` and `DSA.KeyPair`, + `ECDSA.PrivateKey` and `ECDSA.KeyPair`, `DH.PrivateNumber`, and the + `PrivateKey` of `Rabin.Basic`, `Rabin.Modified` and `Rabin.RW` -- now render + the public part and `` for the rest. Nothing else about them + changes: `Read`, `Eq`, `Data`, `Generic` and `NFData` are all still derived. + The new `Crypto.Debug` exports a class `DebugShow` whose `debugShow` returns + exactly what the derived `Show` used to return, for those ten and for the + five `ScrubbedBytes` secret keys as well, which never had a `Show` that + spoke. **Code that serialized a key through `show` has to say `debugShow` + instead**; `read (debugShow k) == k` still holds, but `read` given the + output of `show` will now fail at run time, which the compiler cannot point + at + [#72](https://github.com/kazu-yamamoto/crypton/issues/72) + +* deprecate(ecc): the curves over a binary field. They are obsolete, they are + the curves a cofactor makes delicate, and pyca/cryptography deprecated them + for removal in the release that fixed CVE-2026-26007. A `DEPRECATED` pragma + now covers the eighteen `SEC_t*` constructors of `CurveName` and the + eighteen types of the same names in `Crypto.ECC.Simple.Types`; nothing is + removed, so the only effect is a warning where one of them is named, and + they will go in a later major version. The prime curves with a cofactor, + `SEC_p112r2` and `SEC_p128r2`, are not deprecated: the check above covers + them + [#66](https://github.com/kazu-yamamoto/crypton/issues/66) + +* fix(ecc): refuse a public point outside the prime-order subgroup. A point + that satisfies the curve equation is not necessarily in the subgroup the + base point generates; the two coincide only where the cofactor is 1. Of the + curves in `CurveName` twenty have a cofactor -- the eighteen binary ones, + and `SEC_p112r2` and `SEC_p128r2`, whose cofactor is 4 -- and on those the + other party could offer a point of small order, at which point the value + that came back depended on our private number only through its residue + modulo that order, and offering it and watching the answer handed them those + bits. This is the flaw pyca/cryptography fixed as CVE-2026-26007; what is + fixed here is the same one, found by following that report. + `Crypto.PubKey.ECC.DH.getShared` and `tryGetShared`, and + `Crypto.ECC.Simple.Prim.pointFromIntegers`, now require the point to be in + the subgroup and report `CryptoError_PointSubgroupInvalid` when it is not. + The check is `isPointInSubgroup`, newly exported from both prim modules: + where the cofactor is 1 it answers without work, and otherwise it multiplies + by the group order and requires the point at infinity, which is what + OpenSSL's `EC_KEY_check_key` does and costs one further scalar + multiplication -- an exchange on an affected curve is about twice the price, + and one on every other curve is unchanged. The typed `Crypto.ECC` interface + offers only cofactor-1 curves and dedicated implementations, so nothing + reaching elliptic curves through it, `tls` among them, was affected + +* perf(p256): inline the field arithmetic on AArch64. `felem_mul` and + `felem_square` end in `felem_reduce_degree`, a carry chain the whole width + of the number, and that chain is what their latency is: one product feeding + the next costs 18.1 ns on an Apple M4, while four independent ones cost 11.4 + ns each. The curve arithmetic has independent products to offer -- the two + squarings that open a point doubling, the multiplication and the squaring + that close it -- but only if the compiler inlines the reduction instead of + calling it, since a call is a fence. Plain `inline` does not change its + mind; `always_inline` does, and it is worth asking where there are registers + to hold two carry chains at once and not where there are not: 1.23x on an + M4, 1.12x and 1.05x on a Neoverse under clang and gcc, and 0.95x and 0.82x + on x86-64, whose fifteen general-purpose registers are not enough. So it is + gated on the architecture and x86-64 is left byte-identical. ECDH P-256 on + an M4: 69.16 to 56.24 us, against openssl's 24.68, so 0.36 becomes 0.44; + ECDSA P-256 signing and verification move with it. The cost is code, 30 to + 116 kilobytes of it + [#188](https://github.com/kazu-yamamoto/crypton/pull/188) +* perf(number): count bytes from the bit count, not from base 256. `numBytes` + asked GMP how many base-256 digits a number has, and GHC's bignum answers + that by dividing the number down to nothing, one digit at a time, where the + same question in base two is a look at the highest limb. On a 2048-bit + `Integer` that is 1.65 us against 0.01. Every serialization here asks for + the size before it allocates and `i2ospOf` asks twice, so the cost landed on + every RSA, DSA and DH operation leaving the `Integer` world: `i2ospOf_` at + 256 bytes goes from 2.87 to 0.09 us and RSA-2048 verification from 18.4 to + 15.5 us on an M4. Signing moves by a percent; it is two exponentiations and + hardly touches this + [#187](https://github.com/kazu-yamamoto/crypton/pull/187) +* perf(ecc): stop sharing the doublings in the double multiplication. + `pointAddTwoMuls` was Shamir's trick, one pass over the bits of both scalars + at once in `Integer` arithmetic, which is the right trade when the two + multiplications would cost the same. They have not for a while: `pointMul` + goes to C, and over a prime field it multiplies the base point through a + table of its multiples at about a third of the price -- and the base point + is one of the two, since ECDSA verification is the only caller. Doing them + separately and adding: ECDSA P-384 verification 1397 to 698 us on an M4 in + the typed API, 9839 to 738 in the older one, and a curve over a binary field + 641 ms to 2.6. P-256 keeps the double multiplication it has in C + [#186](https://github.com/kazu-yamamoto/crypton/pull/186) +* perf(sha3): take the CRYPTOGAMS Keccak for x86-64 as well. The same module + as [#181](https://github.com/kazu-yamamoto/crypton/pull/181) on the other + architecture, and the reason it was not taken at the time was a measurement + taken on the wrong machine: crypton on Apple silicon against openssl on + x86-64, which said there was nothing to gain. Measured on one machine there + was: SHA3-256 on an EPYC 7763 goes from 109 to 421 MB/s, against openssl's + 426, so 0.26 becomes 0.99 + [#184](https://github.com/kazu-yamamoto/crypton/pull/184) +* perf(sha1): take the CRYPTOGAMS SHA-1 for AArch64. The instructions are the + ones [#170](https://github.com/kazu-yamamoto/crypton/pull/170) put in, and + the arrangement is what the module has over them: the message schedule of + the next four rounds runs against the rounds of this one, which is not + something a C function is going to be made to do -- + [#179](https://github.com/kazu-yamamoto/crypton/pull/179) tried the one + thing C can do here, handing over a run of blocks, and on this processor it + measured nothing at all. The entry point for processors that have the + instructions is not exported, so the module's own dispatch picks it and the + answer to the runtime question goes into the word that dispatch reads. On + Apple silicon: 3155 to 3379 MB/s at 16 KiB, against openssl's 3350 on the + same machine, so where this was at 0.94 it is now a shade ahead. The + intrinsics stay for the block a message ends with, and for any processor + that has the instructions but is built without the assembly + [#182](https://github.com/kazu-yamamoto/crypton/pull/182) +* perf(sha3): take the CRYPTOGAMS Keccak for AArch64. The instructions are + the ones [#171](https://github.com/kazu-yamamoto/crypton/pull/171) put in -- + EOR3, RAX1, XAR and BCAX -- and what this module does with them is take a + run of blocks rather than one at a time, and schedule the round it is in + against the next one. The absorb loop hands over the whole run, which also + drops the alignment trampoline on that path: the assembly reads the message + as bytes. SHA3-256 on Apple silicon: 1002 to 1104 MB/s at 16 KiB, against + openssl's 1058 on the same machine. Only the absorb side is handed over; + the squeeze, which SHAKE uses to produce output, is entangled with this + side's buffer bookkeeping and is not where the time goes + [#181](https://github.com/kazu-yamamoto/crypton/pull/181) +* perf(xts): double the XTS tweak in the integer registers. The tweak + advances by doubling in GF(2^128) once per block, and it was doing that in a + vector register: six operations on the same units that are running the + rounds and the exclusive ors, in a chain where each waits for the one + before. On a processor whose AES is fast that is not a detail -- taking the + doubling out of a diagnostic build, which gives the wrong answer but says + where the time goes, left XTS running at the speed of ECB. It costs three + integer operations instead, and the integer units have nothing else to do + here; what crosses over is one move per block. On x86-64 that also gets + eight values out of a register file with sixteen entries, so the round keys + stay where they were. AES-128-XTS at 16 KiB: 9644 to 18646 MB/s on Apple + silicon and 4504 to 7660 on a Haswell-generation x86-64, against openssl's + 17382 and 6997 on the same machines, so both are now a little ahead where + they were at 0.55 and 0.64. No assembly: the AArch64 module in CRYPTOGAMS + has no XTS, and the x86-64 one's is inside a module this does not otherwise + want + [#180](https://github.com/kazu-yamamoto/crypton/pull/180) +* perf(sha1): hand the SHA-1 block loop a run of blocks rather than one at a + time. A block at a time means the state goes out to memory and comes back + either side of every block, with the two shuffles that put it in the order + the instructions want; against the hundred-odd cycles a block costs with the + SHA extensions that is most of what stood between this and openssl. On an + EPYC 7763: 1364 to 1677 MB/s, against openssl's 1670 on the same machine, + and on a Xeon 8370C 1506 to 1619. On Apple silicon it measures nothing at + all -- that processor hides the cost -- and is kept there only so the two + paths have one shape. The intended file for this was CRYPTOGAMS' + `sha1-x86_64.pl`, which turns out to be the 2006 scalar implementation: no + SSSE3, no AVX, no SHA extensions. Processors without the extensions are + therefore where they were, 664 MB/s against openssl's 791 on a Haswell + [#179](https://github.com/kazu-yamamoto/crypton/pull/179) +* perf(sha2): take the CRYPTOGAMS SHA-256 and SHA-512 for x86-64. One + generator gives both, as on AArch64, and each dispatches on what the + processor has: the SHA extensions, AVX2, AVX, SSSE3 or plain integer code. + That replaces everything written here for x86-64 -- `sha256_x86.c` and + `sha512_x86.c` go -- since it is ahead of all of it either way. At 16 KiB: + on an EPYC 7763, SHA-256 1430 to 1584 MB/s and SHA-512 423 to 769; on a + Haswell-generation part, SHA-256 318 to 379 and SHA-512 488 to 593, where + openssl reports 378 and 589. The block loops hand over the whole run of + blocks rather than one at a time, and the alignment trampoline goes with it. + This also fixes a bug in the capability word + [#176](https://github.com/kazu-yamamoto/crypton/pull/176) added: bit 29 of + leaf 7 EBX is the SHA extensions, not an AVX-512 bit, and was being cleared + along with them -- which cost the SHA-256 assembly two thirds of its speed + on a processor that has them, and which no machine here could have shown, + since none has them + [#178](https://github.com/kazu-yamamoto/crypton/pull/178) +* perf(chacha): take the CRYPTOGAMS ChaCha20 for x86-64 as well. The C here + vectorises from eight blocks up and takes anything shorter one block at a + time, so a message of a few hundred bytes -- a QUIC packet, a small TLS + record -- ran at a fifth of the bulk rate. The module has vector code for + those lengths and is a few per cent ahead in bulk besides: 494 to 1091 MB/s + at 256 bytes, 477 to 701 at 128, and 2201 to 2374 at 16 KiB, which is + openssl's 2389 on the same machine. It is handed everything from one block + up, where the AArch64 module is handed nothing below three, that one's + scalar path measuring level with the C. Keystream generation is still the + C on both, having no input to exclusive-or + [#177](https://github.com/kazu-yamamoto/crypton/pull/177) +* perf(poly1305): take the CRYPTOGAMS Poly1305 for x86-64 as well. The same + module for the other architecture, through the same three functions, so what + this adds is the capability word: where the AArch64 one reads + `crypton_armcap_P`, this one reads `crypton_ia32cap_P`, which is cpuid's own + words in the order OpenSSL keeps them, filled with the bits for anything the + operating system will not preserve cleared. What it brings over the AVX2 + written here is a hand-scheduled scalar path, which is what a message of a + few hundred bytes actually uses, and an AVX path for machines with no AVX2: + on a Haswell-generation x86-64, 4298 to 5345 MB/s at 16 KiB and 556 to 1573 + at 64 bytes, against the roughly 5270 openssl reaches there. `poly1305_avx2.c` + goes the way the NEON did. The module's AVX-512 paths are not taken: the + generator chooses what to emit from the version of the assembler it is told + about, and it is now told one that predates them, no machine here being able + to run them and an assembler still in use being unable to assemble them. + Pinning that version also makes the checked-in assembly independent of the + host that produced it + [#176](https://github.com/kazu-yamamoto/crypton/pull/176) +* perf(sha256): take the CRYPTOGAMS SHA-256 for AArch64. The instructions are + the ones the intrinsics here already use; what the module does with them is + schedule them across a whole run of blocks rather than one at a time, and + keep the message schedule of the next block moving while the rounds of this + one are still going, which a function that is handed one block and returns + cannot do whatever it is written in. So the block loop hands over the whole + run, which also drops the alignment trampoline on this path -- the assembly + reads the message as bytes and wants neither the alignment nor the copy. On + Apple silicon: 2637 to 3279 MB/s at 16 KiB, against openssl's 3323 on the + same machine, and 1576 to 1966 at 64 bytes. SHA-512, which the same + generator emits, is not taken: 1876 here against openssl's 1880, the + ARMv8.2 instructions for it having gone in with #110 + [#175](https://github.com/kazu-yamamoto/crypton/pull/175) +* perf(poly1305): take the CRYPTOGAMS Poly1305 for AArch64. One + multiplication modulo 2^130 - 5 depends on the one before it, so what there + is to win is in how the multiplies and the carries are laid against each + other, and in keeping the accumulator in whichever base costs less: the + module works in base 2^64 while the message is short and switches to base + 2^26 for the four-way vector loop, deciding that for itself. Unlike the + other two it is the whole of the arithmetic rather than a bulk loop bolted + to the side, so the context now holds either the 26-bit limbs the C works in + or the 192 bytes the assembly keeps, as a union, and grows from 84 bytes to + 232. On Apple silicon: 4269 to 8060 MB/s at 16 KiB and 1542 to 4355 at 64 + bytes, and ChaCha20-Poly1305 together, which is what this is for, 1416 to + 2284 against openssl's 2180 on the same machine. `poly1305_neon.c`, which + [#169](https://github.com/kazu-yamamoto/crypton/pull/169) added, goes: the + assembly is faster at every length on every target that gets it, and the + scalar C remains for the targets that do not. The tests came first and + found that the chunking property here had been testing nothing -- it used + the all-zero key, whose r is zero, so both sides were the nonce whatever + they did, which is how it came to feed the chunks to `update` in reverse + order and pass + [#174](https://github.com/kazu-yamamoto/crypton/pull/174) +* perf(chacha): take the CRYPTOGAMS ChaCha20 for AArch64. The vector + registers hold four ChaCha states and there is no room for a fifth, so once + four blocks are in flight the only place further parallelism can come from + is the integer side: that module runs a fifth block through the general + registers alongside four in the vector ones, and above 512 bytes two + alongside six. Which register holds which word is the whole of the trick + and C has no way to say it, which is why the intrinsics here sat at about + 0.63 of what openssl gets out of this very file. On Apple silicon, a + message per call: 1911 to 3069 MB/s at 512 bytes, 1913 to 3093 at 4 KiB and + 2056 to 3112 at 64 KiB, against openssl 3.6's 3164 on the same machine, + which is this code. It is handed only the states it fits -- twenty rounds, + a 256-bit key, and as many blocks as the 32-bit counter has room for, since + crypton's counter is 64 bits wide and carries where the assembly wraps -- + and nothing below 192 bytes, where its own vector path starts. The tests + came first: the properties here generated one shape of state, so the + 256-bit constants were never exercised by them + [#173](https://github.com/kazu-yamamoto/crypton/pull/173) +* perf(gcm): take the CRYPTOGAMS stitched AES-GCM for x86-64, which is the + first assembly in the package. Counter-mode AES and GHASH do not compete + for the same execution ports, so a loop that interleaves them at + instruction granularity runs both in about the time the rounds alone take; + written in C that interleaving does not survive the compiler, which sinks + every multiply to the end of the group, and the disassembly of what + [#160](https://github.com/kazu-yamamoto/crypton/pull/160) produced says so. + On a Haswell-generation x86-64, a message per call, AES-128-GCM: 2672 to + 3172 MB/s at 1152 bytes, 3394 to 4271 at 4 KiB and 3657 to 5110 at 16 KiB, + where openssl speed on the same machine reports 4896; decryption within a + couple of points of that, and AES-256-GCM 3147 to 4297 at 16 KiB against + openssl's 4206. `cbits/asm` holds the module, the translator it needs and the + generated assembly, one file per object format, so that building needs no + perl; `cbits/asm/README.md` records where it came from and what was done to + it, which is to rename the entry points, a program linking both crypton + and openssl being entitled to object to two definitions of + `aesni_gcm_encrypt`. What the assembly reads is laid out OpenSSL's way and + is built per message in `cbits/aes/gcm_x86_asm.c`, the powers of H being + the ones crypton already has, shifted up a bit. Short messages are not + handed over at all. `cabal-version` is now 3.0, for `asm-sources` + [#172](https://github.com/kazu-yamamoto/crypton/pull/172) +* perf(sha3): use the ARMv8.2 SHA-3 instructions. Keccak was the plain C + everywhere, a round at a time over tables of rotation amounts and lane + positions, at half of what openssl manages on the same machine. EOR3, + RAX1, XAR and BCAX exist for exactly this permutation and take a round from + around a hundred and fifty operations to sixty-six; they come with the + SHA-512 extension the tree already asks for. Rho and pi move one lane of + every row into every other row, so the round cannot be done in place, and + four rounds go in an iteration, which is worth a fifth over one. SHA3-256 + 551 to 991 MB/s (openssl 1064), SHAKE128 700 to 1166, Keccak-256 559 to + 944. The body is generated from the definitions in FIPS 202 rather than + copied in, and the script that worked out the rotations and the lane + permutation checked itself against the published digests of the empty + string and of "abc" before emitting any C, which is how a first attempt + with chi reading lanes another row had already overwritten was caught. x86 + is untouched: nothing there has instructions for this + [#171](https://github.com/kazu-yamamoto/crypton/pull/171) +* perf(sha1): use the ARMv8 SHA-1 instructions. The AArch64 paths for + SHA-256 and SHA-512 went in with #104 and #110 and x86 got its SHA-1 + instructions in [#165](https://github.com/kazu-yamamoto/crypton/pull/165), + but the AArch64 SHA-1 ones were never used -- and they are part of the same + optional feature as the SHA-256 ones, so every processor that has those has + these. SHA1C, SHA1P and SHA1M each do four rounds with one of the three + round functions, SHA1H carries E from one group to the next, and SHA1SU0 + and SHA1SU1 do the message schedule between them. On Apple silicon: 1272 + to 3180 MB/s, against openssl 3.6's 3350 on the same machine. Checked + against the hardware rather than through an emulation of the instructions, + the machine here having them: the digests agree with the generic + implementation over every message length from 0 to 2000, with each input + split in two updates + [#170](https://github.com/kazu-yamamoto/crypton/pull/170) +* perf(poly1305): four blocks at a time with NEON. AArch64 had only the + scalar loop, whose five 26-bit limbs and 32-bit multiplies are the shape a + 32-bit machine wants. This is the arithmetic of the AVX2 path in NEON, + written as a transliteration of that file rather than a fresh formulation, + since the maths there is already pinned by the known-answer tests; what + differs is the width, AVX2 holding four 64-bit products in a register where + NEON holds two, so each product becomes a pair and the limbs are packed + back into four 32-bit lanes before the next multiply. On Apple silicon: + Poly1305 2783 to 4840 MB/s, and ChaCha20-Poly1305 together 1164 to 1368. + Checked against the scalar implementation over forty keys and every message + length from 0 to 400, with each input split in two updates. Also measured + and left alone: BLAKE2b at 1612 MB/s against openssl's 1378, the reference + C being the faster of the two + [#169](https://github.com/kazu-yamamoto/crypton/pull/169) +* perf(modes): stop the generic cipher modes allocating per byte. Counter + mode with a cipher whose modes are not in C ran at a third of what the same + cipher managed in ECB, and at an eighth for Blowfish, for two reasons + outside the cipher. The counters were built one at a time by `ivAdd`, + which allocates a block and walks the whole width of the counter from the + original for each of them; they are now one buffer filled in place. And + the exclusive or was `Data.ByteArray`'s, which walks a byte at a time + through an IO applicative -- 420 MB of heap for 8 MiB of counter mode, + against 17 MB for the same data through ECB, which is fifty bytes allocated + per byte produced and cost more than the cipher did. There is a + `crypton_memxor` to call instead, a pass of words, which the modes and CMAC + use. The serial modes also took each block as a copy and take shared + slices now. On Apple silicon, counter mode: Camellia-128 79.7 to 285.9 + MB/s, Blowfish 60.4 to 282.6, DES 46.2 to 114.9, CAST5 40.2 to 86.6, + Twofish-128 37.4 to 57.6, 3DES 25.2 to 36.3, and CBC and CMAC by a third to + a half as much again. AES is unchanged: its modes are in C and never came + this way + [#168](https://github.com/kazu-yamamoto/crypton/pull/168) +* build: compile the C at -O3, which is what came of looking at P-256 against + openssl. The comparison in the problem list was wrong -- a base point + multiplication here against openssl's ECDH, which is a variable point one -- + and measured properly P-256 is 2.8 to 3.3 times slower rather than the 1.27 + claimed. The time is in the field arithmetic, five 51-bit limbs in + Montgomery form at 44.4 ns a multiplication, against hand-written assembly + using `mulx`, `adcx` and `adox`; a four-limb saturated Montgomery + multiplication written in C to see what a compiler would give measured 41.3 + ns, so that is not the way in. What did move is the optimisation level GHC + passes: a P-256 base point multiplication goes from 71.0 to 59.8 us on x86-64 + and 26.0 to 24.3 on Apple silicon, AES-128-GCM from 3455 to 3708 MB/s and + AES-128-OCB from 2187 to 2484, with ChaCha20, Poly1305, SHA-1 and MD5 within + a couple of per cent either way. The masked selections in the curve and + field code compile to no conditional jumps at either level + [#167](https://github.com/kazu-yamamoto/crypton/pull/167) +* refactor(aes): drop the keystream generator nobody can call. `genCTR` and + `genCounter` are exported from a module in `other-modules`, so nothing + outside the library could reach them and nothing inside used them; the only + mention left was a test commented out since the cryptonite days. They were + also the slowest thing in the file, a block at a time through the + single-block entry point at 715 MB/s where counter mode does 5788, and the + three ways of fixing that are each worse than removing them: counter mode + over zeros costs Apple silicon a fifth, counters through ECB costs both, and + a keystream loop written out per key size is eighty lines for an API no + caller can see. Also declares `crypton_aes_encrypt_ctr` and + `crypton_aes_encrypt_c32` in the header, which had them defined and imported + but never declared + [#166](https://github.com/kazu-yamamoto/crypton/pull/166) +* perf(sha1): use the Intel SHA extensions on x86-64. The extension that + carries the SHA-256 instructions carries four for SHA-1 as well, and the same + cpuid bit answers for both, so this is one file and one branch. On an AMD + EPYC 7763: 725.1 to 1363.8 MB/s, against openssl's 1668.2 on the same + machine. 1.9x, where the SHA-256 instructions were worth 4.8x -- SHA-1's + rounds are cheaper to begin with, so there is less for an instruction to + replace. The sequence was checked by replacing the four instructions with C + that follows the SDM and comparing against the generic implementation over + every length from 0 to 1024, which found the same missing schedule step + [#155](https://github.com/kazu-yamamoto/crypton/pull/155) had + [#165](https://github.com/kazu-yamamoto/crypton/pull/165) +* docs(sidechannel): say what the modules that still work in `Integer` keep + from the clock, and fix the two places where something could be done about + it. ElGamal inverted the shared secret with the extended Euclidean + algorithm, whose steps follow the bits it is given -- the modulus is prime, + so Fermat reaches it. Its signing inverts the ephemeral value modulo an even + number, where Fermat does not reach, so `sign` blinds instead: the algorithm + is handed that value times a fresh random unit and the blinder divided out + afterwards. What is left is written down rather than fixed -- the Jacobi + symbols Rabin takes modulo its private primes, and the cost of `Integer` + arithmetic following the size of the numbers -- and `Crypto.Cipher.AES` now + says which implementation a machine gets and that the fallback, being + table-driven, is not constant time + [#164](https://github.com/kazu-yamamoto/crypton/pull/164) +* perf(poly1305): shorten the carry chain and stop the AVX2 loop spilling. The + carries go in pairs, since the two halves of that chain do not depend on each + other; the powers of r are read from memory, there being sixteen registers + and ten of them wanted for the accumulator and the products; and the message + is added limb by limb as the block comes apart rather than five limbs being + formed first. 4203 to 4452 MB/s, and ChaCha20-Poly1305 together from 1412 to + 1488. What is left is the instruction count: 107 per 64 bytes, of which 25 + are the multiply + [#163](https://github.com/kazu-yamamoto/crypton/pull/163) +* perf(chacha): combine as the keystream comes out of the registers. All three + vector implementations wrote it to a buffer on the stack and read it back to + exclusive-or it with the input, which is a pass over every byte for something + the registers were already holding. 2128 to 2230 MB/s on x86-64, and nothing + on Apple silicon, where the round trip was free. Measured while doing it: + the AVX2 path already did eight blocks at a time, and what is left of the gap + to openssl in this AEAD is Poly1305 rather than the cipher + [#162](https://github.com/kazu-yamamoto/crypton/pull/162) +* perf(sha): compute the message schedule in vector registers on x86. SHA-512 + has no instruction there and SHA-256 has none on a processor older than + Goldmont or Zen, which includes the Ice Lake and Cascade Lake server parts. + The rounds are a chain and stay where they are; the schedule is a quarter of + the work, comes out four words at a time and depends on nothing but the + message, so it goes into the vector registers and runs alongside rounds that + need the general ones. SHA-256 228 to 314 MB/s, SHA-512 354 to 480 + [#161](https://github.com/kazu-yamamoto/crypton/pull/161) +* perf(gcm): take the GHASH of the group before, alongside this group's rounds. + Held a group apart the multiply and the rounds run through each other, where + in step neither could start until the other finished. With it, the multiply + called directly rather than through a branch pointer the compiler cannot see + through, and the round keys read from memory rather than spilled: AES-128-GCM + 2797 to 3458 MB/s and AES-256-GCM 2458 to 3053. openssl does 4895 and 4205 + on the same machine; the rest of that is instruction-level interleaving, + which does not survive being written in intrinsics + [#160](https://github.com/kazu-yamamoto/crypton/pull/160) +* perf(ocb): drive OCB through the ECB paths a group at a time. It ran one + block at a time through the single-block entry point and so cost four times + what GCM costs, for a mode that does less work than GCM. The offsets have to + be worked out in order but the block cipher calls under them do not depend on + each other, so eight go through ECB together. OCB-128 1130 to 3500 MB/s on + Apple silicon and 694 to 2173 on x86-64, the authenticated data 1141 to 5900 + and 692 to 2526. CCM is unchanged and stays that way: what is left there is + CBC-MAC, where each block waits for the one before it + [#159](https://github.com/kazu-yamamoto/crypton/pull/159) +* test(aes): run the XTS vectors, and add OCB and CCM at 192 and 256 bits. The + XTS known-answer tests never ran: the call was commented out and the test it + would have called did not compile, so vectors at both key sizes sat in the + tree unused. XTS is defined only for a 128-bit block, which the general KAT + runner cannot promise, so it gains a counterpart for a cipher that can. OCB + and CCM had vectors at 128 bits only. 2613 examples to 2679 + [#158](https://github.com/kazu-yamamoto/crypton/pull/158) +* perf(aes): build the AArch64 key schedule with the instructions rather than + the S-box table. The AArch64 path expanded a key by calling the generic + implementation and then inverting the round keys, so every schedule went + through sixteen lookups at addresses derived from the key -- a small thing + next to the per-block indexing the extensions exist to remove, but a key + schedule is what an attacker most wants out of a cache, and x86 has never + needed the table. AArch64 has no counterpart to AESKEYGENASSIST, but AESE + against a zero key is SubBytes and ShiftRows, and a word given to it in all + four columns comes back as SubWord in each of them. The words stay in + vector registers throughout, which is what makes it free: moving each one to + a general register for the instruction and back cost more than the + instruction did, 87 to 144 ns for an AES-128 schedule, where keeping them in + registers gives 81.4 + [#157](https://github.com/kazu-yamamoto/crypton/pull/157) +* perf(aes): AES-192 through the processor's AES instructions. Every 192-bit + slot in the branch table was left at the generic code, on x86 and on AArch64 + alike, so a 192-bit key got the table-driven software AES while 128 and 256 + got the instructions. It was 164 times slower for counter mode on the x86 + machine measured and 62 on Apple silicon, and it was also the only key size + whose data path indexes a table with bytes derived from the key -- a caller + who picks AES-192 over AES-128 for a wider margin was quietly given a weaker + one. Counter mode then GCM, before and after: Apple silicon 152.7 to 9452.0 + MB/s and 112.3 to 7049.3, x86-64 40.4 to 6635.1 and 39.9 to 2633.5. Both + implementations were already written once per key size, so this instantiates + them again at twelve rounds; x86 also needed the 192-bit schedule, which + does not fall into 128-bit pieces the way the other two do + [#156](https://github.com/kazu-yamamoto/crypton/pull/156) +* perf(sha256): use the Intel SHA extensions on x86-64, which is what issue + [#31](https://github.com/kazu-yamamoto/crypton/issues/31) reports -- SHA-256 + four to eight times slower than sha256sum and openssl, both of which use the + processor's instructions. AArch64 got its instructions in #104 and is at + parity with them; x86 had nothing. SHA256RNDS2 does two rounds at a time and + SHA256MSG1 and SHA256MSG2 help with the message schedule, so a block costs + four groups of sixteen instructions instead of sixty-four rounds of scalar + work. On an AMD EPYC 9V74: 338.3 to 1612.7 MB/s, against openssl's 1783.8 on + the same machine. The extensions arrived with Goldmont and Ice Lake at Intel + and with Zen at AMD, far later than AES-NI, so a processor without them is + ordinary rather than ancient: the code sits behind a target attribute and a + cpuid question, and the plain C stays for everything else + [#155](https://github.com/kazu-yamamoto/crypton/pull/155) +* perf(bcrypt): Blowfish, and the key setup bcrypt wraps it in, in C. bcrypt + is a cost parameter and a promise that the cost is paid, and what pays it is + the Blowfish key schedule; in Haskell that cost about twice what the usual + implementations charge, so a hash of a given length of time had to be asked + for with a lower cost than elsewhere. Cost 8 goes from 25.97 to 9.98 ms, + cost 10 from 102.01 to 39.79, cost 12 from 418.78 to 159.41, `bcrypt_pbkdf` + from 109.76 to 40.38, and Blowfish over 4 KiB from 0.05 to 0.01 -- at cost + 10 that is 39.8 ms against the 52 `htpasswd` takes on the same machine. The + Haskell cipher goes with it, so there is one implementation rather than two, + and nothing exposed changes + [#154](https://github.com/kazu-yamamoto/crypton/pull/154) +* perf(prime): fewer Miller-Rabin rounds for a candidate nobody chose. A + number handed over may have been built to pass, and against that the only + thing to go on is that a round catches three quarters of the composites + there are, so `isProbablyPrime`, `findPrimeFrom` and `findPrimeFromWith`, + which all take their number from the caller, keep their thirty rounds. A + candidate drawn here is the case Damgard, Landrock and Pomerance worked out + and Table 4.4 of the Handbook of Applied Cryptography tabulates: + `generatePrime` and `generateSafePrime` now use twice what it asks for one + chance in 2^80, capped at the thirty they had, which leaves the chance far + under one in 2^100 at every size. With the candidates held fixed, + `generatePrime 1024` goes from 28.5 to 16.9 ms and an RSA-2048 key from 52.9 + to 39.2 + [#153](https://github.com/kazu-yamamoto/crypton/pull/153) +* fix(rsa): work the private exponent out without the extended Euclidean + algorithm. The modulus is the secret there, so multiplying the value by a + random number hides nothing; what does is that `e` is public. Whatever `d` + is, `e * d = 1 + k * phi` for some `k` under `e`, and reading that modulo + `e` gives `k` as an inverse modulo a number of a handful of bits, which for + a prime `e` is Fermat; `d` is then an exact division. What phi touches is a + remainder and a division, and nothing in either follows it + [#152](https://github.com/kazu-yamamoto/crypton/pull/152) +* perf(f2m): ask aarch64 for its carry-less multiply as well. #148 used PMULL + only where the compiler had been told the machine has the crypto + extensions, which is so on Apple and not on a Linux built for the bare + ARMv8 baseline, though every processor that runs such a build has it. It is + now compiled behind an attribute and the machine asked at run time, through + the auxiliary vector on Linux and Android, elf_aux_info on FreeBSD and a + sysctl on Apple: sect283k1 421.2 to 168.9 us there, sect571r1 2289.2 to + 579.9 + [#151](https://github.com/kazu-yamamoto/crypton/pull/151) +* refactor(ecc): one multiplication for both of the curve APIs, and one place + for each buffer's size. Which path a point multiplication takes was written + out twice, and the copy in `Crypto.ECC.Simple.Prim` cannot be reached from + outside the library on a curve over a binary field, so the suite never ran + it; it moves to the internal module both already share, which makes the copy + nobody can call the same code everybody runs. The two buffers for a C call + that still had their size written out separately from the offsets into them + now take both from one list, as the one that was wrong in #141 does -- the + note there records that neither valgrind nor the debug RTS catches that + mistake, both having been tried + [#150](https://github.com/kazu-yamamoto/crypton/pull/150) +* perf(f2m): use the x86 carry-less multiply where the processor has it. + PCLMULQDQ is not part of the x86-64 baseline, so the cpuid the package + already runs for AES-NI reports one more bit and the multiplication that + uses the instruction sits behind an attribute. Measured through Rosetta, + which translates rather than runs it, so the ratio is what to read: + sect283k1 560.4 to 177.5 us, sect571r1 3049.6 to 623.9 + [#149](https://github.com/kazu-yamamoto/crypton/pull/149) +* perf(f2m): do the binary field arithmetic in C. The ladder of #142 spent + nearly all its time on one thing -- a carry-less multiplication, which + ordinary arithmetic does not give and which in Haskell was `Integer` shifts + and exclusive ors, about 4 us for a 283-bit multiplication. The field and + the ladder over it are now C, with the processor's instruction where there + is one and four interleaved groups of bits where there is not, folding for + the reduction and Fermat for the inverse. sect163k1 3431 to 67.4 us with + the instruction and 117.3 without, sect283k1 10181 to 157.6 and 386.2, + sect571r1 40469 to 521.6 and 2101.0. It is also constant time, which the + Haskell ladder was not + [#148](https://github.com/kazu-yamamoto/crypton/pull/148) +* perf(bignum): start the doubling for `R^2 mod m` at the highest power of two + under the modulus rather than at one, which for a modulus that fills its + limbs is half the steps. Two to three percent of a curve operation, and + every curve operation and every `expSafe` pays for it once. Folding instead + of Montgomery for the primes shaped `2^k - c` was written and measured + alongside it and is not here: it is slower in this representation, 87.8 ns + against 76.8 for a 521-bit multiplication, because the shift down by `k` + costs more than the reduction pass it replaces when `k` does not land on a + limb boundary + [#147](https://github.com/kazu-yamamoto/crypton/pull/147) +* perf(ecc): keep a table of the multiples of each curve's base point, which + is the point signing and making a key multiply and the only one worth a + table. A multiplication with it is one addition per four bits and no + doublings: secp256k1 211.1 to 59.8 us, secp384r1 519.3 to 144.2, secp521r1 + 1047.7 to 283.0, and ECDSA P-384 signing 556.4 to 179.9 on both elliptic + curve APIs, which share the table. A table is built when a curve is first + asked for one -- 2.8 ms for secp256k1, 5.5 for secp384r1, 10.6 for secp521r1 + -- and is 221 KB and 456 KB for the last two, so it pays for itself after + about fifteen multiplications + [#146](https://github.com/kazu-yamamoto/crypton/pull/146) +* perf(bignum): take the limbs four and two at a time as well as eight in the + loop every modular multiplication is built out of. Four and six limbs, which + is what most of the curves want, fell entirely to the one-at-a-time tail + before: a field multiplication at six limbs goes from about 58 to 49 ns, + secp384r1 scalar multiplication from 596.7 to 519.3 us and ECDSA P-384 + signing from 645.0 to 556.4. Specialising the sizes further, which is what a + generated implementation would do, measures about 4% more and is not here + [#145](https://github.com/kazu-yamamoto/crypton/pull/145) +* fix(rsa): keep the blinding factor out of the extended Euclidean algorithm. + The blinder is a random number and its inverse, and the inverse went through + an algorithm whose steps follow the number handed to it -- the number the + blinding rests on, and unlike the other inverses this one is worked out once + per operation rather than once per key. `n` being composite leaves no + Fermat to fall back on, so the algorithm is handed the factor multiplied by + sixteen fresh random bytes and its answer multiplied by them again, which + leaves the inverse wanted and shows the algorithm nothing to do with it. In + IO, where every draw of randomness goes to the system, `generateBlinder` + goes from 74 to about 120 us and a PKCS#1 v1.5 `signSafer` from 719 to about + 765; under a DRG the caller carries, 24.7 to 24.9 + [#144](https://github.com/kazu-yamamoto/crypton/pull/144) +* fix(rsa): work `qinv` out without the extended Euclidean algorithm. Making + a key inverts one prime modulo the other and both of them are the key + itself, so that inverse is now Fermat's little theorem through `expSafe`, + which the other prime being prime allows: 308.6 us against 10.1, on a key + that takes tens of milliseconds to make. Making a key cannot be constant + time -- the search for the primes takes as long as it takes -- but what that + leaks is about the search rather than about the primes it settles on, and + the haddock now says which is which + [#143](https://github.com/kazu-yamamoto/crypton/pull/143) +* perf(ecc): a ladder for the curves over a binary field. These were the last + multiplication whose cost followed the scalar: an affine double-and-add, one + addition for every bit that was set and none for the others, which on + sect283k1 ran from 9665 us for a scalar with two bits set to 17958 for one + with 270. It is now Montgomery's ladder, which carries the multiples of two + consecutive numbers -- their difference being the point is what lets it + carry only their x coordinates -- and spends one addition and one doubling + on every bit whichever way it goes, working the y out at the end from the + two x it is left with, so one division does for the whole multiplication + where the affine code had one per step. The multiplication is now flat, and + quicker: sect163k1 4428 to 3431 us, sect233r1 9304 to 6806, sect283k1 13797 + to 10181, sect409k1 30826 to 20584, sect571r1 61931 to 40469. Uniform is + not constant time -- these are `Integer` operations, whose cost follows the + values -- and the point with no x, which is its own negation, keeps the code + that was there + [#142](https://github.com/kazu-yamamoto/crypton/pull/142) +* perf(ecc): multiply points in C on curves over a prime field. P-256 has had + a C implementation all along; every other prime curve -- P-384, P-521, + secp256k1 and the rest -- multiplied points with `Integer` arithmetic, which + cannot be constant time, since what an `Integer` operation costs follows the + value it is given. The C walks four bits of scalar at a time, taking the + multiple to add from a table of sixteen that it reads by touching every + entry and keeping one with a mask, and its addition and doubling are the + complete formulas of Renes, Costello and Batina, which answer for every pair + of points with no case to choose between. A P-384 multiplication goes from + 1557 to 585 us and no longer follows the scalar, ECDSA P-384 signing from + 1700 to 636 us, P-521 from 1942 to 1123. Binary curves are unchanged, and a + point that is not on the curve keeps the answer the Haskell gives it + [#141](https://github.com/kazu-yamamoto/crypton/pull/141) +* fix(ecc): add at every bit in the prime-curve multiplication, which laziness + was skipping. The multiplication adds at every bit, set or not, so that its + cost follows the width of the curve's order rather than the scalar -- but + the addition was a binding only one branch of the following `if` used, so at + a bit that was not set it stayed a thunk and was never worked out. The cost + followed the number of bits set in the scalar, which is the nonce when + signing and the private key in ECDH: on P-384, 765.8 us for a scalar with + two bits set against 1671.5 for one with 383, in a straight line between. + Both copies of the multiplication had it, so both elliptic curve APIs were + affected on every prime curve but P-256 + [#140](https://github.com/kazu-yamamoto/crypton/pull/140) +* fix(ecdsa): keep the P-256 signature out of `Integer` arithmetic. The + scalar handed to the C implementation was reduced with `mod`, a division, + whose steps follow the number being divided -- the nonce when signing, the + private key in ECDH. Twice the order is more than 256 bits hold, so a + scalar that fits is brought under the order by one masked subtraction + instead. The second half of a signature, `kInv * (z + r * d)`, was + `Integer` arithmetic as well, and now goes through `scalarAdd` and + `scalarMul`, which on P-256 are the C implementation's fixed-width + arithmetic. What is left on that curve is the conversion between `Integer` + and fixed-width scalars, which is also what it costs: signing goes from 34.1 + to 39.3 us, and ECDH and the other curves are unchanged + [#139](https://github.com/kazu-yamamoto/crypton/pull/139) +* fix(dsa,ecdsa): invert the signing nonce without a side channel. Both + inverted it with the extended Euclidean algorithm, whose step count and + branches follow the bits of what it is given -- and a handful of signatures + whose nonces are partly known give the private key away, so the nonce is + worth as much as the key. `Crypto.Number.ModArithmetic.inverseSafe` works + the inverse out with Fermat's little theorem through `expSafe` instead, + falling back on `inverse` when the modulus turns out not to be prime, so + every answer is the one it was. On P-256 the C implementation does it. + Signing costs a little more: ECDSA P-256 30.6 to 34.1 us, ECDSA P-384 678.7 + to 703.4, DSA-2048 422.5 to 437.1. Verification inverts a value that + arrives in the signature and is left alone + [#138](https://github.com/kazu-yamamoto/crypton/pull/138) +* perf(number): square, and multiply, faster in `expSafe`. The product and + the Montgomery reduction are now a full product followed by a reduction + rather than interleaved, built out of one loop that takes its limbs eight at + a time, and squaring works out only the products on one side of the diagonal + and doubles their sum. At 2048 bits the constant-time exponentiation goes + from 3.59 to 2.15 ms, which is 1.4x GMP's own rather than 2.4x; RSA-2048 + signing goes from 0.80 to 0.63 ms and DH-2048 `getShared` from 2.43 to 1.67 + [#137](https://github.com/kazu-yamamoto/crypton/pull/137) +* fix(number): make `expSafe` hide the exponent again. It asked integer-gmp + for `powModSecInteger` and fell back on the ordinary `powModInteger` when + that was missing; since integer-gmp 1.1 it is always missing, so on every + GHC this package supports `expSafe` was the same windowed exponentiation as + `expFast`, table indexed by the exponent's bits, for RSA, DSA, DH, ElGamal + and Rabin alike. It now goes to C: four bits of exponent at a time, the + table of sixteen read by touching every entry and keeping one with a mask, + and a Montgomery multiplication whose final subtraction is masked too. The + exponent's length is still visible, rounded up to a whole 64-bit word, which + is what GMP's own `mpz_powm_sec` lets slip. Hiding the exponent costs 1.6x + at 512 bits and 2.4x at 2048: RSA-2048 signing goes from 0.46 to 0.80 ms and + DH-2048 `getShared` from 1.04 to 2.43 + [#136](https://github.com/kazu-yamamoto/crypton/pull/136) +* perf(prime): stop running a Fermat test that Miller-Rabin subsumes. Every + candidate was tested to base 2 before the Miller-Rabin rounds, which begin + with the same base and prove more; the primes it passed paid for it twice + and the composites it caught were nearly all caught by trial division first. + RSA-2048 key generation goes from 55.0 to 32.8 ms + [#135](https://github.com/kazu-yamamoto/crypton/pull/135) +* perf(f2m): reduce the binary field by folding the top back in rather than + taking a step per bit of excess, square a byte at a time through a table of + the patterns a byte spreads into, and take four bits of a multiplier at a + time rather than one. On the 283-bit field, squaring goes from 5440 to 2068 + ns and multiplication from 7526 to 4086. A scalar multiplication there is + still affine, so it inverts once per addition, which is where its time now + goes + [#134](https://github.com/kazu-yamamoto/crypton/pull/134) +* perf(ecc): fold instead of dividing in the generic prime-curve arithmetic, + and add the point being multiplied as the affine point it is. These primes + are `2^k - c` with `c` far smaller, so the top half of a product folds back + in with a shift, a multiplication and an addition, where dividing costs four + times as much -- above 256 bits, below which the folding costs more than it + saves. P-521 scalar multiplication goes from 892 to 492 us and P-384 from + 684 to 572 + [#133](https://github.com/kazu-yamamoto/crypton/pull/133) +* perf(ecc): route P-256 through the C implementation the library already had. + `Crypto.PubKey.ECDSA` reached `cbits/p256`; `Crypto.PubKey.ECC.*`, the older + and more widely used API, never did. ECDSA signing goes from 590 to 28.7 us, + verification from 726 to 91.4, and `getShared` from 1177 to 96. On P-256 + that multiplication is now constant time, where the generic code branches on + the scalar at every bit + [#132](https://github.com/kazu-yamamoto/crypton/pull/132) +* Breaking change: perf(camellia): put Camellia in C, 40 to 321 MiB/s. The + round function ran a byte at a time in Haskell; generating the tables that + take a byte straight to its contribution gained 14%, and the rest was the + language. Input that is not a whole number of blocks now raises, where the + tail of the answer used to be uninitialised memory + [#131](https://github.com/kazu-yamamoto/crypton/pull/131) +* Breaking change: perf(twofish): walk the blocks once and carry them in words + rather than appending each result to what came before and going through lists + per block. 2 MiB goes from 0.14 to 56 MiB/s, and the rate no longer falls as + the message grows. Input that is not a whole number of blocks now raises, + where it used to come back longer than it went in + [#130](https://github.com/kazu-yamamoto/crypton/pull/130) +* perf(modes): cut the message without copying the rest of it in the generic + block cipher modes, which every cipher but AES uses, and hand whole slices to + the cipher in the modes whose blocks do not depend on one another. Camellia + in CBC goes from 1.8 to 22.9 MiB/s at 1 MiB, DES CBC decryption from 0.5 to + 83, and every figure is now flat in the message length where it used to fall + [#129](https://github.com/kazu-yamamoto/crypton/pull/129) +* Breaking change: perf(des): put DES in C. It was carried over lists of + `Bool`, one cons cell per bit, with the key schedule recomputed for every + block: 0.04 MiB/s, and 3DES 0.013, against 105 and 41 for OpenSSL. They are + now 112 and 37. Input that is not a whole number of blocks now raises, where + the tail of the answer used to be uninitialised memory + [#128](https://github.com/kazu-yamamoto/crypton/pull/128) +* perf(cmac): slice the message rather than copying what is left of it once per + block, and chain through CBC, which is what CMAC's chaining is. A MAC over + 4 MiB goes from 0.36 to 1628 MiB/s, which is the speed of AES-CBC itself + [#127](https://github.com/kazu-yamamoto/crypton/pull/127) +* fix(rabin): decode OAEP without early exits, as + `Crypto.PubKey.RSA.OAEP.unpad` has since #91. The difference is not + measurable against the cost of mask generation, and is structural: the scan + across the padding no longer depends on the data + [#126](https://github.com/kazu-yamamoto/crypton/pull/126) +* Breaking change: fix(rabin): refuse a ciphertext or a signature that is not + below the modulus, and a ciphertext carrying a leading zero octet. Squaring + and the square roots that undo it work modulo n, so Basic and Rabin-Williams + decrypted `c + n` to whatever `c` decrypted to, and all three schemes verified + `s + n`, and `-s`, wherever they verified `s`. `Basic.signWith` also refuses a + padding whose first octet is zero, which the signature cannot carry: about one + signature in 256 was one its own `verify` rejected + [#125](https://github.com/kazu-yamamoto/crypton/pull/125) +* fix(prime): derive the Miller-Rabin witnesses from the number being tested and + from a secret drawn once per process. They came from one generator made once + and shared by every call, so the witnesses for one number were the witnesses + for every number, and testing a number again told the caller nothing it had + not already been told. This is the path every GHC since 9.0 takes, integer-gmp + 1.1 having no Miller-Rabin of its own + [#124](https://github.com/kazu-yamamoto/crypton/pull/124) +* docs(elgamal): say what `signWith` requires of its ephemeral value: the range + is 1 to p-2, not the "between 0 and p-1" the haddock claimed, and the value is + a private key that a signature discloses if it is reused or revealed + [#123](https://github.com/kazu-yamamoto/crypton/pull/123) +* Breaking change: fix(afis): give `split` and `merge` one answer for a parameter + they cannot use. They had four between them, including a division by zero for + an expand count of zero and, for a count of one, handing the diffused data back + as though it were the secret + [#122](https://github.com/kazu-yamamoto/crypton/pull/122) +* Breaking change: fix(rsa): refuse a ciphertext or a signature whose integer + representative is not below the modulus, which RFC 8017 requires in sections + 5.1.2 and 5.2.2. `PKCS15.decrypt` and `OAEP.decrypt` decrypted `c + n` to the + same message as `c`, and `PSS.verifyDigest` accepted `s + n` wherever it + accepted `s` + [#121](https://github.com/kazu-yamamoto/crypton/pull/121) +* fix(otp): search the HOTP resynchronization window without early exits. The + time taken read out both where in the window the client's counter was found + and how many of the submitted values were right -- the second of which the + answer itself does not give, being `Nothing` either way. A call now costs one + HMAC per counter in the window plus one per extra value, every time + [#120](https://github.com/kazu-yamamoto/crypton/pull/120) +* Breaking change: fix(kdf): report a refused parameter as a `CryptoError` rather + than as an `ErrorCall` carrying a string, with a `'`-suffixed variant of each + entry point returning `CryptoFailable`. PBKDF2 had no validation at all: a + negative output length reached `memSet` and killed the process with SIGBUS, and + an iteration count of zero returned 32 bytes of zeroes + [#119](https://github.com/kazu-yamamoto/crypton/pull/119) +* perf(xts): take eight blocks at a time on AArch64 and x86-64, and dispatch XTS + decryption through the branch table, which it had never used. AArch64 goes + from 1200 to 7742 MiB/s encrypting and 1166 to 7763 decrypting, x86-64 from + 1220 to 3464 and from 594 to 3461 + [#118](https://github.com/kazu-yamamoto/crypton/pull/118) +* perf(poly1305): take four blocks at a time with AVX2 on x86-64, folding the + lanes back together weighted by the powers of r. 1347 to 4137 MiB/s + [#117](https://github.com/kazu-yamamoto/crypton/pull/117) +* perf(ecc): work in Jacobian coordinates in both generic prime-field scalar + multiplications, and say in `Crypto.ECC` which curves branch on a secret + scalar. P-384 and P-521 ECDSA are 2.3x: signing goes from 3.36 to 1.46 ms and + from 5.96 to 2.61 ms. P-256, which has its own C implementation, is unaffected + [#116](https://github.com/kazu-yamamoto/crypton/pull/116) +* Breaking change: fix(padding): bound PKCS#7 padding by the block rather than by + the whole input, which had let a block of sixteen accept a claim of twenty, and + refuse a `ZERO` size of zero rather than dividing by it. What `ZERO` can and + cannot undo is now written down + [#115](https://github.com/kazu-yamamoto/crypton/pull/115) +* perf(gcm): give x86 its own GCM decryption loop. It fell to the generic one, + which calls the block function once per block, and ran at a quarter the speed + of encryption; both directions now take eight blocks at a time and fold their + GHASH into one reduction. AES-256-GCM decryption goes from 561 to 2733 MiB/s + and AES-128 from 667 to 3150 + [#114](https://github.com/kazu-yamamoto/crypton/pull/114) +* perf(chacha): take eight blocks at a time with AVX2 where the machine has it, + with the cpuid and XGETBV checks that decide. ChaCha20 on x86-64 goes from + 900 to 2074 MiB/s + [#113](https://github.com/kazu-yamamoto/crypton/pull/113) +* perf(chacha): do four blocks at a time with SSE2 on x86-64, where the cipher + had no vector code at all. ChaCha20 goes from 493 to 900 MiB/s + [#112](https://github.com/kazu-yamamoto/crypton/pull/112) +* perf(chacha): do four blocks at a time with NEON on AArch64. ChaCha20 goes + from 1025 to 1955 MiB/s + [#111](https://github.com/kazu-yamamoto/crypton/pull/111) +* feat(sha512): use the ARMv8.2 SHA-512 instructions on AArch64, which SHA-384 + and the truncated SHA-512/t variants share. Hashing 1 MiB goes from 1.53 ms + to 597 us. The extension is optional, so it is asked for at runtime on both + Apple and Linux rather than assumed + [#110](https://github.com/kazu-yamamoto/crypton/pull/110) +* perf(gcm): drive GCM from AArch64 rather than the generic loop, with a group + of eight blocks folding into a single GHASH reduction. AES-128-GCM goes from + 4030 to 8266 MiB/s and AES-256 from 4043 to 7172 + [#109](https://github.com/kazu-yamamoto/crypton/pull/109) +* perf(aes): specialise the AArch64 code by key size and interleave eight + blocks, and give CTR its own loop. AES-256 ECB goes from 3886 to 15991 + MiB/s, CTR from 2935 to 13567 and CBC decryption from 4366 to 15807 + [#108](https://github.com/kazu-yamamoto/crypton/pull/108) + +* perf(aes): build the AES-NI paths on Windows, which was missing from the list of + systems that compile them. Windows builds have been doing AES, and GHASH with it, + in the generic C + [#107](https://github.com/kazu-yamamoto/crypton/pull/107) +* fix(armv8): compile the AArch64 sources on a toolchain whose baseline lacks the + crypto extensions. They had not built with GCC on AArch64 Linux since #100; CI now + builds and tests there + [#106](https://github.com/kazu-yamamoto/crypton/pull/106) +* perf(gcm): fold four GHASH blocks into one reduction. AES-256-GCM is 1.6x at 1 KiB + and 2.6x at 64 KiB on Apple silicon, and the x86 paths gain the same structure + [#105](https://github.com/kazu-yamamoto/crypton/pull/105) +* perf(sha256): use the ARMv8 SHA-2 instructions on AArch64. SHA-256 and SHA-224 are + 5.5x + [#104](https://github.com/kazu-yamamoto/crypton/pull/104) +* ci: keep the macOS jobs from queueing behind each other, and supersede a branch's + earlier run + [#103](https://github.com/kazu-yamamoto/crypton/pull/103) +* perf(aes): use PMULL for GHASH on AArch64 + [#102](https://github.com/kazu-yamamoto/crypton/pull/102) +* ci: ask cabal where its caches live rather than assuming, and keep the build + products in the cache + [#101](https://github.com/kazu-yamamoto/crypton/pull/101) +* perf(aes): use the ARMv8 cryptographic extensions on AArch64. With the GHASH work + in #102 and #105, AES-256-ECB goes from 121 to 2992 MiB/s and AES-256-GCM from 92 to + 2318 MiB/s on Apple silicon + [#100](https://github.com/kazu-yamamoto/crypton/pull/100) +* build(bench): move the benchmarks from gauge, which is no longer maintained, to + tasty-bench, and let them resolve on a current GHC + [#99](https://github.com/kazu-yamamoto/crypton/pull/99) +* Breaking change: fix(padding): reject a `PKCS7` block size outside 1..255. `pad` + raises and `unpad` returns `Nothing`, where both previously narrowed the size to a + `Word8` and silently agreed on the wrong value + [#98](https://github.com/kazu-yamamoto/crypton/pull/98) +* feat(elgamal): fix `Crypto.PubKey.ElGamal` and expose it + [#97](https://github.com/kazu-yamamoto/crypton/pull/97) +* docs(bcrypt): say that only the first 72 bytes of a password count + [#96](https://github.com/kazu-yamamoto/crypton/pull/96) +* test: move the test suite from tasty to hspec, with hspec-discover. `cabal-version` + is now 2.0 + [#95](https://github.com/kazu-yamamoto/crypton/pull/95) + +* feat(aead): add `tryAeadSimpleDecrypt`, which takes the tag length as its own argument instead of reading it off the supplied tag + [#94](https://github.com/kazu-yamamoto/crypton/pull/94) +* Breaking change: feat(dh): add `tryGetShared` to `Crypto.PubKey.DH` and `Crypto.PubKey.ECC.DH`, reporting a rejected peer value as `CryptoFailable`; `getShared` is now defined in terms of it and so raises a `CryptoError` rather than an `ErrorCall` + [#93](https://github.com/kazu-yamamoto/crypton/pull/93) +* fix(otp): compare TOTP candidates without an early exit + [#92](https://github.com/kazu-yamamoto/crypton/pull/92) +* fix(rsa): drop the early exits from PKCS#1 v1.5 and OAEP unpadding + [#91](https://github.com/kazu-yamamoto/crypton/pull/91) +* Breaking change: fix(argon2): report invalid options as `CryptoFailed` rather than raising, adding `CryptoError_ParameterInvalid` to `CryptoError` + [#90](https://github.com/kazu-yamamoto/crypton/pull/90) +* Breaking change: fix(dh): validate the peer public number, and size the shared secret from `p` rather than `params_bits` + [#89](https://github.com/kazu-yamamoto/crypton/pull/89) +* fix(dsa): do not crash on values that are not invertible modulo `q` + [#88](https://github.com/kazu-yamamoto/crypton/pull/88) +* Breaking change: fix(ecdh): validate the peer point before the exchange + [#87](https://github.com/kazu-yamamoto/crypton/pull/87) +* Breaking change: fix(pkcs15): reject PKCS#1 v1.5 signatures of the wrong length or out of range + [#86](https://github.com/kazu-yamamoto/crypton/pull/86) +* Breaking change: fix(otp): require a digest long enough for RFC 4226 dynamic truncation, which was reading past the end of the MAC + [#85](https://github.com/kazu-yamamoto/crypton/pull/85) +* fix(ecc): accept zero-x P-256 shared secret + [#84](https://github.com/kazu-yamamoto/crypton/pull/84) +* fix(p256): accept valid edge-case points + [#83](https://github.com/kazu-yamamoto/crypton/pull/83) +* Breaking change: fix(hkdf): enforce output length limit + [#82](https://github.com/kazu-yamamoto/crypton/pull/82) +* Breaking change: fix(ed25519): reject non-canonical signatures + [#81](https://github.com/kazu-yamamoto/crypton/pull/81) +* Support GHC 9.14; `tested-with` now covers 9.10.2, 9.12.4 and 9.14.1 + [#74](https://github.com/kazu-yamamoto/crypton/pull/74) + +### API changes + +* New exports: `Crypto.OTP.minimumDigestSize`, `Crypto.PubKey.DH.tryGetShared`, + `Crypto.PubKey.ECC.DH.tryGetShared`, `Crypto.Cipher.Types.AEAD.tryAeadSimpleDecrypt`, + `Crypto.Number.ModArithmetic.inverseSafe`, `Crypto.PubKey.ECC.Prim.scalarInverse`, + `scalarAdd` and `scalarMul`, `Crypto.PubKey.ECC.P256.scalarReduce`, + and the whole of `Crypto.PubKey.ElGamal`, which was present but not exposed. + The variant of an entry point that reports a refusal rather than raising is + named `try` followed by the name it varies, `tryExpand` beside `expand`. A + trailing apostrophe was the obvious spelling and is what these were called + until shortly before release; it collides too easily, since a caller that + imports one of these modules unqualified and has its own `expand'` or + `split'` no longer compiles, and `tls` did. `Safe` was considered and set + aside: this library already uses that suffix for something else, in + `Crypto.Number.ModArithmetic.expSafe` and `inverseSafe` and in + `Crypto.PubKey.ECC.P256.scalarInvSafe`, where it means the value being + worked on stays out of the timing. + The KDFs gained a variant of each entry point that can refuse its parameters, + returning `CryptoFailable` instead of raising: `Crypto.KDF.Scrypt.tryGenerate`, + `Crypto.KDF.BCrypt.tryBcrypt`, `Crypto.KDF.BCryptPBKDF.tryGenerate` and + `tryHashInternal`, `Crypto.KDF.HKDF.tryExpand`, `Crypto.KDF.PBKDF2.tryGenerate` and + `tryFastPBKDF2_SHA1`, `tryFastPBKDF2_SHA256` and `tryFastPBKDF2_SHA512`, and + `Crypto.Data.AFIS.trySplit` and `tryMerge`. These are additions and break nothing. +* Breaking change: `CryptoError_ParameterInvalid` is added to `CryptoError`. It is + appended, so the `Enum` values of the existing constructors are unchanged, but an + exhaustive `case` without a wildcard will warn. Adding a constructor to an exported + datatype is what requires a major version bump under the PVP, which would have been + 1.2.0; this release goes to 2.0.0. Everything else below changes behaviour rather + than types. +* Breaking change: `getShared` in both DH modules raises a `CryptoError` where it + previously raised an `ErrorCall`, since it is now defined in terms of `tryGetShared`. + The same is now true of `Crypto.KDF.Scrypt.generate`, `Crypto.KDF.BCrypt.bcrypt`, + `Crypto.KDF.BCryptPBKDF.generate` and `hashInternal`, and `Crypto.Data.AFIS.split` + and `merge`, each of which is defined in terms of the variant above. +* Breaking change: input that used to be accepted is now rejected -- a digest shorter + than 20 bytes in `Crypto.OTP.hotp`, a signature of the wrong length or out of range + in `Crypto.PubKey.RSA.PKCS15.verify`, an off-curve peer point or a peer public number + outside `1 < y < p-1` in `getShared`, an output beyond 255 blocks in + `Crypto.KDF.HKDF.expand`, a non-canonical Ed25519 signature, and `Options` the + implementation refuses in `Crypto.KDF.Argon2.hash`. +* Breaking change: a value at or above the modulus is now rejected where it used to be + reduced and accepted -- a ciphertext in `Crypto.PubKey.RSA.PKCS15.decrypt` and + `Crypto.PubKey.RSA.OAEP.decrypt`, a signature in `Crypto.PubKey.RSA.PSS.verify`, and + both, along with a negated signature and a ciphertext with a leading zero octet, in + the three `Crypto.PubKey.Rabin.*` schemes. +* Breaking change: parameters that used to be accepted are now refused -- an iteration + count below one or a negative output length in `Crypto.KDF.PBKDF2`, an expand count + below two or a secret of no bytes in `Crypto.Data.AFIS`, a `PKCS7` claim longer than + the block and a `ZERO` size of zero in `Crypto.Data.Padding`, and a signature padding + whose first octet is zero in `Crypto.PubKey.Rabin.Basic.signWith`. +* Breaking change: DES, 3DES, Twofish and Camellia now raise on input that is not a + whole number of blocks, as AES already did. Before, DES and Camellia returned an + answer whose tail was never written -- uninitialised memory -- and Twofish returned + more than it was given, the missing bytes read as zero. +* Breaking change: `Crypto.Data.Padding.pad` raises on a `PKCS7` block size outside + 1..255, and `unpad` returns `Nothing` for one, where both used to narrow the size to + a `Word8` and hand back something other than what was padded. +* No exported function changed its signature. + +## 1.1.5 + +* fix(aead): reject undersized tags + [#80](https://github.com/kazu-yamamoto/crypton/pull/80) +* fix(aes): refuse a zero-length AES-GCM IV + [#79](https://github.com/kazu-yamamoto/crypton/pull/79) +* fix(p256): prevent crashes when validating valid points + [#78](https://github.com/kazu-yamamoto/crypton/pull/78) +* feat(asn1): add SHA-3 HashAlgorithmASN1 instances for PKCS#1 v1.5 + [#77](https://github.com/kazu-yamamoto/crypton/pull/77) +* OCB3 conformance + [#76](https://github.com/kazu-yamamoto/crypton/pull/76) + +## 1.1.4 + +* Generic instance for RSA PublicKey and PrivateKey + +## 1.1.3 + +* Ensure that `pointAdd` in `PubKey.ECC.P256` treats the point at infinity as the additive identity. + [#73](https://github.com/kazu-yamamoto/crypton/pull/73) + +## 1.1.2 + +* Preparing `ram` v0.22. +* Generalizing RSA encrypt/decrypt to manipulate ScrubbedBytes directly. + +## 1.1.1 + +* On iOS, ScrubbedBytes based hashing is used for seedNew. On other + plateforms, entropy is used directly as used to be. + [#71](https://github.com/kazu-yamamoto/crypton/pull/71) + +## 1.1.0 + +* Removing "basement" and "memory". + [#67](https://github.com/kazu-yamamoto/crypton/pull/67) + + +## 1.0.7 + +* Stop depending on basement, use upstream dependencies instead +* Stop transitively depending on basement by depending on ram. + +## 1.0.6 + +* Fix test failures on less common 64-bit arches. + [#65](https://github.com/kazu-yamamoto/crypton/pull/65) + +## 1.0.5 + +* Setter/Getter for ChaCha counter. + [#63](https://github.com/kazu-yamamoto/crypton/pull/63) +* Add simple interface to generate full blocks + [#60](https://github.com/kazu-yamamoto/crypton/pull/60) +* Avoid `ghc-prim` dependency. + [#61](https://github.com/kazu-yamamoto/crypton/pull/61) + +## 1.0.4 + +* Ed448.sign: avoid extra re-derive of public key. + [#48](https://github.com/kazu-yamamoto/crypton/pull/48) + +## 1.0.3 + +* Make sign of Ed25519/Ed448 safer. The public key parameter is + ignored and its public key is generated from the secret key + parameter to prevent Double Public Key Signing Function Oracle + Attack. + [#47](https://github.com/kazu-yamamoto/crypton/pull/47) + +## 1.0.2 + +* Deterministic Nonce Generation for ECDSA + [#46](https://github.com/kazu-yamamoto/crypton/pull/46) +* ECDSA Signature Normalization. + [#45](https://github.com/kazu-yamamoto/crypton/pull/45) +* Add Full Test Suite from RFC 6979. + [#44](https://github.com/kazu-yamamoto/crypton/pull/44) +* ECDSA with Public Key Recovery. + [#43](https://github.com/kazu-yamamoto/crypton/pull/43) +* Providing necessary features for HPKE. + [#42](https://github.com/kazu-yamamoto/crypton/pull/42) + +## 1.0.1 + +* Update decaf library. + [#38](https://github.com/kazu-yamamoto/crypton/pull/38) +* Add TypeOperators language extension to EdDSA.hs. + [#36](https://github.com/kazu-yamamoto/crypton/pull/36) + +## 1.0.0 + +* Versions follow the standard version policy. +* Removing pthread stuff. + [#32](https://github.com/kazu-yamamoto/crypton/pull/32) + ## 0.34 * Hashing getRandomBytes before using as Seed for ChaChaDRG diff --git a/Crypto/Cipher/AES.hs b/Crypto/Cipher/AES.hs --- a/Crypto/Cipher/AES.hs +++ b/Crypto/Cipher/AES.hs @@ -1,22 +1,43 @@ +{-# LANGUAGE CPP #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + -- | -- Module : Crypto.Cipher.AES -- License : BSD-style -- Maintainer : Vincent Hanquez -- Stability : stable -- Portability : good -{-# LANGUAGE CPP #-} -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -module Crypto.Cipher.AES - ( AES128 - , AES192 - , AES256 - ) where +-- +-- AES, in the modes "Crypto.Cipher.Types" defines. +-- +-- == Which implementation runs +-- +-- Where the processor has instructions for AES -- AES-NI on x86-64, the +-- cryptographic extensions on AArch64 -- every key size and every mode here +-- goes through them, and a block costs the same whatever the key and the data +-- are. +-- +-- Where it does not, the fallback is the table-driven code in +-- @cbits\/aes\/generic.c@, which indexes a 256-byte table with bytes derived +-- from the key and from the block. That is the cache-timing exposure the +-- instructions exist to remove, and on such a machine AES here is not +-- constant time. Every x86-64 part since about 2010 and every AArch64 one in +-- ordinary use has the instructions. +-- +-- 'Crypto.System.CPU.processorOptions' says which of the two a given machine +-- got: @AESNI@ in that list means the processor's AES instructions, on either +-- architecture. +module Crypto.Cipher.AES ( + AES128, + AES192, + AES256, +) where -import Crypto.Error +import Crypto.Cipher.AES.Primitive import Crypto.Cipher.Types -import Crypto.Cipher.Utils import Crypto.Cipher.Types.Block -import Crypto.Cipher.AES.Primitive +import Crypto.Cipher.Utils +import Crypto.Error import Crypto.Internal.Imports -- | AES with 128 bit key @@ -32,20 +53,19 @@ deriving (NFData) instance Cipher AES128 where - cipherName _ = "AES128" + cipherName _ = "AES128" cipherKeySize _ = KeySizeFixed 16 - cipherInit k = AES128 <$> (initAES =<< validateKeySize (undefined :: AES128) k) + cipherInit k = AES128 <$> (initAES =<< validateKeySize (undefined :: AES128) k) instance Cipher AES192 where - cipherName _ = "AES192" + cipherName _ = "AES192" cipherKeySize _ = KeySizeFixed 24 - cipherInit k = AES192 <$> (initAES =<< validateKeySize (undefined :: AES192) k) + cipherInit k = AES192 <$> (initAES =<< validateKeySize (undefined :: AES192) k) instance Cipher AES256 where - cipherName _ = "AES256" + cipherName _ = "AES256" cipherKeySize _ = KeySizeFixed 32 - cipherInit k = AES256 <$> (initAES =<< validateKeySize (undefined :: AES256) k) - + cipherInit k = AES256 <$> (initAES =<< validateKeySize (undefined :: AES256) k) #define INSTANCE_BLOCKCIPHER(CSTR) \ instance BlockCipher CSTR where \ @@ -55,7 +75,7 @@ ; cbcEncrypt (CSTR aes) (IV iv) = encryptCBC aes (IV iv) \ ; cbcDecrypt (CSTR aes) (IV iv) = decryptCBC aes (IV iv) \ ; ctrCombine (CSTR aes) (IV iv) = encryptCTR aes (IV iv) \ - ; aeadInit AEAD_GCM (CSTR aes) iv = CryptoPassed $ AEAD (gcmMode aes) (gcmInit aes iv) \ + ; aeadInit AEAD_GCM (CSTR aes) iv = gcmAeadInit aes iv \ ; aeadInit AEAD_OCB (CSTR aes) iv = CryptoPassed $ AEAD (ocbMode aes) (ocbInit aes iv) \ ; aeadInit (AEAD_CCM n m l) (CSTR aes) iv = AEAD (ccmMode aes) <$> ccmInit aes iv n m l \ ; aeadInit _ _ _ = CryptoFailed CryptoError_AEADModeNotSupported \ diff --git a/Crypto/Cipher/AES/GCM.hs b/Crypto/Cipher/AES/GCM.hs new file mode 100644 --- /dev/null +++ b/Crypto/Cipher/AES/GCM.hs @@ -0,0 +1,256 @@ +-- | +-- Module : Crypto.Cipher.AES.GCM +-- License : BSD-style +-- Maintainer : Kazu Yamamoto +-- Stability : experimental +-- Portability : unknown +-- +-- AES-GCM for callers that send many short messages under one key, which is +-- what a datagram transport does. +-- +-- The interface in "Crypto.Cipher.Types" builds a state from the key /and/ +-- the nonce and then walks it through appending the additional data, +-- encrypting and finalizing, copying the state at each step. For a stream +-- that is nothing next to the encryption. For a QUIC packet it is most of +-- the work: the key schedule and the table of multiples of @H@ depend on the +-- key alone, and rebuilding them for every nonce costs more than encrypting +-- 1440 bytes. +-- +-- So here a t'Context' is built from the key once and holds both, and +-- 'encrypt' takes a nonce and a whole message and answers in one call. +-- +-- > ctx <- throwCryptoError <$> pure (newContext key) +-- > let packet = encrypt ctx nonce header plaintext 16 +-- +-- This runs on AES-NI and carry-less multiply, or on the ARMv8 cryptographic +-- extension, and makes no branch and no memory access that depends on the key +-- or on the data. Where the processor has neither, AES falls back to a table +-- driven implementation that is /not/ constant time; see the side channels +-- section of the README, and 'Crypto.System.CPU.processorOptions' for which is +-- in use. +-- +-- The result is the ciphertext with the tag after it, which is the shape a +-- packet wants. 'decrypt' takes that shape back, compares the tag itself and +-- answers 'Nothing' when it does not match. +-- +-- This computes the same thing as the general interface; the tests hold it to +-- that on the same vectors. +module Crypto.Cipher.AES.GCM ( + Context, + newContext, + encrypt, + decrypt, + decryptWithTag, + + -- * Header protection + HeaderKey, + newHeaderKey, + encryptWithMask, +) where + +import Crypto.Cipher.AES.Primitive ( + AES, + AESGCMKey, + gcmFullDecrypt, + gcmFullDecryptTag, + gcmFullEncrypt, + gcmFullEncryptMask, + gcmKeyInit, + initAES, + ) +import Crypto.Cipher.Types (AuthTag) +import Crypto.Cipher.Types.AEAD (minimumTagLength) +import Crypto.Error +import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess) +import qualified Crypto.Internal.ByteArray as B +import Data.Word (Word8) +import Foreign.Ptr (Ptr) + +-- | Everything a key determines: the AES key schedule and the table of +-- multiples of @H@. Build it once and encrypt as many messages under it as +-- the key is good for. +data Context = Context !AES !AESGCMKey + +-- | Take a key of 16, 24 or 32 bytes. Any other length is reported as +-- 'CryptoError_KeySizeInvalid'. +newContext :: ByteArrayAccess key => key -> CryptoFailable Context +newContext k = do + aes <- initAES k + return $ Context aes (gcmKeyInit aes) + +-- | Encrypt one message: the nonce, the additional data that is +-- authenticated but not encrypted, the plaintext, and how many bytes of tag +-- to produce, which GCM allows between 4 and 16. Any other length throws +-- 'CryptoError_AuthenticationTagSizeInvalid', and so does 'decryptWithTag'. +-- +-- The answer is the ciphertext followed by the tag. +-- +-- A nonce must not be used twice with the same t'Context'. Twelve bytes is +-- the size GCM is defined for and the only one that does not cost a further +-- pass. A nonce of no bytes is refused: it would hand out the key GCM +-- authenticates with, so 'encrypt' and 'decryptWithTag' throw +-- 'CryptoError_IvSizeInvalid' for it, 'decrypt' gives 'Nothing' and +-- 'encryptWithMask' gives 'False'. +{-# INLINABLE encrypt #-} +encrypt + :: ( ByteArrayAccess nonce + , ByteArrayAccess aad + , ByteArrayAccess ba + , ByteArray output + ) + => Context + -> nonce + -> aad + -> ba + -> Int + -> output +encrypt (Context aes gk) nonce aad input taglen + | tooLongForC aad input = + throwCryptoError (CryptoFailed CryptoError_ParameterInvalid) + | badNonce nonce = + throwCryptoError (CryptoFailed CryptoError_IvSizeInvalid) + | badTagLength taglen = + throwCryptoError (CryptoFailed CryptoError_AuthenticationTagSizeInvalid) + | otherwise = gcmFullEncrypt aes gk nonce aad input taglen + +-- | Decrypt one message, in the shape 'encrypt' produced: the ciphertext with +-- its tag after it. The tag is compared here, every byte of it whatever the +-- answer, and a message whose tag does not match gives 'Nothing' rather than +-- the plaintext. +-- +-- 'Nothing' also comes back when the nonce has no bytes, the input is +-- shorter than the tag, or the tag length is outside 4 to 16. +{-# INLINABLE decrypt #-} +decrypt + :: (ByteArrayAccess nonce, ByteArrayAccess aad, ByteArray ba) + => Context + -> nonce + -> aad + -> ba + -> Int + -> Maybe ba +decrypt (Context aes gk) nonce aad input taglen + | tooLongForC aad input = Nothing + | badNonce nonce || badTagLength taglen || B.length input < taglen = Nothing + | otherwise = gcmFullDecrypt aes gk nonce aad body tag + where + (body, tag) = B.splitAt (B.length input - taglen) input + +-- | Decrypt one message, the tag kept apart, and hand back the tag this end +-- computed. +-- +-- For a caller whose protocol hands it the tag separately from the +-- ciphertext, so that 'decrypt' -- which wants the two together and compares +-- them itself -- does not fit. Compare the two tags with '=='; the 'Eq' +-- instance of t'AuthTag' is a constant-time comparison, and taking them apart +-- to compare the bytes is how this goes wrong. +-- +-- Nothing here says whether the message is authentic. Until the comparison +-- is made and has come out equal, what this returns is not plaintext, it is +-- what the ciphertext turns into, and a caller must not act on it. +{-# INLINABLE decryptWithTag #-} +decryptWithTag + :: (ByteArrayAccess nonce, ByteArrayAccess aad, ByteArray ba) + => Context + -> nonce + -> aad + -> ba + -> Int + -> (ba, AuthTag) +decryptWithTag (Context aes gk) nonce aad input taglen + | tooLongForC aad input = + throwCryptoError (CryptoFailed CryptoError_ParameterInvalid) + | badNonce nonce = + throwCryptoError (CryptoFailed CryptoError_IvSizeInvalid) + | badTagLength taglen = + throwCryptoError (CryptoFailed CryptoError_AuthenticationTagSizeInvalid) + | otherwise = gcmFullDecryptTag aes gk nonce aad input taglen + +---------------------------------------------------------------- + +-- | The key schedule for header protection, which QUIC keeps separately from +-- the one it encrypts with. Built once, like a t'Context'. +newtype HeaderKey = HeaderKey AES + +-- | Take a header protection key of 16, 24 or 32 bytes. +newHeaderKey :: ByteArrayAccess key => key -> CryptoFailable HeaderKey +newHeaderKey k = HeaderKey <$> initAES k + +-- | Encrypt one message and, from a sample of the ciphertext it just +-- produced, make the header protection mask -- in one call, into two buffers +-- the caller already has. +-- +-- QUIC takes its sample from the ciphertext, so the mask cannot be had before +-- the encryption. It can be had before coming back, and with the buffers +-- already there nothing is allocated for either. On an Apple M4 the mask +-- then costs about 0.02 us, where asking for it separately costs 0.11. +-- +-- The sealed message wants @length input + taglen@ bytes and the mask +-- sixteen. @sampleOffset@ says where the sixteen bytes of sample begin in +-- the sealed message, counting the tag as part of it. +-- +-- 'False' comes back, and nothing is written, when the nonce has no bytes, +-- the sample would not fit, or the tag length is outside 4 to 16. +{-# INLINABLE encryptWithMask #-} +encryptWithMask + :: (ByteArrayAccess nonce, ByteArrayAccess aad, ByteArrayAccess ba) + => Context + -> HeaderKey + -> nonce + -> aad + -> ba + -> Int + -- ^ tag length + -> Int + -- ^ sample offset + -> Ptr Word8 + -- ^ where the sealed message goes + -> Ptr Word8 + -- ^ where the sixteen bytes of mask go + -> IO Bool +encryptWithMask (Context aes gk) (HeaderKey hp) nonce aad input taglen off outp maskp + | tooLongForC aad input = return False + | badNonce nonce = return False + | off < 0 || badTagLength taglen || off + 16 > B.length input + taglen = + return False + | otherwise = do + gcmFullEncryptMask aes gk hp nonce aad input taglen off outp maskp + return True + +-- | The C behind all four takes its lengths as @uint32_t@, so a message or +-- its additional data from 2^32 bytes up cannot be handed to it: the length +-- would be truncated and most of the buffer left untouched, with nothing to +-- say so. There is no splitting the work here -- the C does the whole +-- message in one call, tag and all -- so such a message is refused. +tooLongForC + :: (ByteArrayAccess aad, ByteArrayAccess ba) => aad -> ba -> Bool +tooLongForC aad input = + B.overCLength (B.length aad) || B.overCLength (B.length input) + +-- | SP 800-38D 5.2.1.1 asks for at least one byte of IV, and this is why. +-- +-- GCM builds its pre-counter block from a nonce that is not twelve bytes as +-- @J0 = GHASH_H(IV || 0^s || [0]_64 || [len(IV)]_64)@. For an empty IV that +-- input is one block of zeros, so @J0@ is zero, and the tag of a message +-- becomes @GHASH_H(A, C) XOR E(K, 0^128)@ -- where @E(K, 0^128)@ is the +-- definition of @H@. The tag of an empty message under an empty nonce is +-- therefore @H@ itself, and any other full tag gives @H@ as the root of a +-- known polynomial. +-- +-- @H@ belongs to the key, not to the nonce. An attacker holding it, plus one +-- genuine message under any nonce, has @E(K, J0)@ for that nonce and can make +-- a tag that verifies for data of their own -- under a correct twelve-byte +-- nonce, and for every nonce they have seen. One encryption with an empty +-- nonce and a full tag ends the authenticity of everything under the key. +-- +-- 'Crypto.Cipher.AES.Primitive.gcmAeadInit' refuses the empty IV for this +-- reason, and these four have to as well. Only the empty one is refused: +-- SP 800-38D allows every length from one byte up. +badNonce :: ByteArrayAccess nonce => nonce -> Bool +badNonce nonce = B.length nonce == 0 + +-- | GCM makes a sixteen-byte tag and a shorter one is a prefix of it. Below +-- 'minimumTagLength' it authenticates next to nothing, and past sixteen the +-- C code would read beyond the tag it computed. +badTagLength :: Int -> Bool +badTagLength t = t < minimumTagLength || t > 16 diff --git a/Crypto/Cipher/AES/Primitive.hs b/Crypto/Cipher/AES/Primitive.hs --- a/Crypto/Cipher/AES/Primitive.hs +++ b/Crypto/Cipher/AES/Primitive.hs @@ -1,645 +1,1105 @@ -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE ViewPatterns #-} -{-# LANGUAGE BangPatterns #-} -{-# LANGUAGE GeneralizedNewtypeDeriving #-} --- | --- Module : Crypto.Cipher.AES.Primitive --- License : BSD-style --- Maintainer : Vincent Hanquez --- Stability : stable --- Portability : good --- -module Crypto.Cipher.AES.Primitive - ( - -- * Block cipher data types - AES - - -- * Authenticated encryption block cipher types - , AESGCM - , AESOCB - - -- * Creation - , initAES - - -- * Miscellanea - , genCTR - , genCounter - - -- * Encryption - , encryptECB - , encryptCBC - , encryptCTR - , encryptXTS - - -- * Decryption - , decryptECB - , decryptCBC - , decryptCTR - , decryptXTS - - -- * CTR with 32-bit wrapping - , combineC32 - - -- * Incremental GCM - , gcmMode - , gcmInit - - -- * Incremental OCB - , ocbMode - , ocbInit - - -- * CCM - , ccmMode - , ccmInit - ) where - -import Data.Word -import Foreign.Ptr -import Foreign.C.Types -import Foreign.C.String - -import Crypto.Error -import Crypto.Cipher.Types -import Crypto.Cipher.Types.Block (IV(..)) -import Crypto.Internal.Compat -import Crypto.Internal.Imports -import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess, ScrubbedBytes, withByteArray) -import qualified Crypto.Internal.ByteArray as B - -instance Cipher AES where - cipherName _ = "AES" - cipherKeySize _ = KeySizeEnum [16,24,32] - cipherInit k = initAES k - -instance BlockCipher AES where - blockSize _ = 16 - ecbEncrypt = encryptECB - ecbDecrypt = decryptECB - cbcEncrypt = encryptCBC - cbcDecrypt = decryptCBC - ctrCombine = encryptCTR - aeadInit AEAD_GCM aes iv = CryptoPassed $ AEAD (gcmMode aes) (gcmInit aes iv) - aeadInit AEAD_OCB aes iv = CryptoPassed $ AEAD (ocbMode aes) (ocbInit aes iv) - aeadInit (AEAD_CCM n m l) aes iv = AEAD (ccmMode aes) <$> ccmInit aes iv n m l - aeadInit _ _ _ = CryptoFailed CryptoError_AEADModeNotSupported -instance BlockCipher128 AES where - xtsEncrypt = encryptXTS - xtsDecrypt = decryptXTS - --- | Create an AES AEAD implementation for GCM -gcmMode :: AES -> AEADModeImpl AESGCM -gcmMode aes = AEADModeImpl - { aeadImplAppendHeader = gcmAppendAAD - , aeadImplEncrypt = gcmAppendEncrypt aes - , aeadImplDecrypt = gcmAppendDecrypt aes - , aeadImplFinalize = gcmFinish aes - } - --- | Create an AES AEAD implementation for OCB -ocbMode :: AES -> AEADModeImpl AESOCB -ocbMode aes = AEADModeImpl - { aeadImplAppendHeader = ocbAppendAAD aes - , aeadImplEncrypt = ocbAppendEncrypt aes - , aeadImplDecrypt = ocbAppendDecrypt aes - , aeadImplFinalize = ocbFinish aes - } - --- | Create an AES AEAD implementation for CCM -ccmMode :: AES -> AEADModeImpl AESCCM -ccmMode aes = AEADModeImpl - { aeadImplAppendHeader = ccmAppendAAD aes - , aeadImplEncrypt = ccmEncrypt aes - , aeadImplDecrypt = ccmDecrypt aes - , aeadImplFinalize = ccmFinish aes - } - - --- | AES Context (pre-processed key) -newtype AES = AES ScrubbedBytes - deriving (NFData) - --- | AESGCM State -newtype AESGCM = AESGCM ScrubbedBytes - deriving (NFData) - --- | AESOCB State -newtype AESOCB = AESOCB ScrubbedBytes - deriving (NFData) - --- | AESCCM State -newtype AESCCM = AESCCM ScrubbedBytes - deriving (NFData) - -sizeGCM :: Int -sizeGCM = 320 - -sizeOCB :: Int -sizeOCB = 160 - -sizeCCM :: Int -sizeCCM = 80 - -keyToPtr :: AES -> (Ptr AES -> IO a) -> IO a -keyToPtr (AES b) f = withByteArray b (f . castPtr) - -ivToPtr :: ByteArrayAccess iv => iv -> (Ptr Word8 -> IO a) -> IO a -ivToPtr iv f = withByteArray iv (f . castPtr) - - -ivCopyPtr :: IV AES -> (Ptr Word8 -> IO a) -> IO (a, IV AES) -ivCopyPtr (IV iv) f = (\(x,y) -> (x, IV y)) `fmap` copyAndModify iv f - where - copyAndModify :: ByteArray ba => ba -> (Ptr Word8 -> IO a) -> IO (a, ba) - copyAndModify ba f' = B.copyRet ba f' - -withKeyAndIV :: ByteArrayAccess iv => AES -> iv -> (Ptr AES -> Ptr Word8 -> IO a) -> IO a -withKeyAndIV ctx iv f = keyToPtr ctx $ \kptr -> ivToPtr iv $ \ivp -> f kptr ivp - -withKey2AndIV :: ByteArrayAccess iv => AES -> AES -> iv -> (Ptr AES -> Ptr AES -> Ptr Word8 -> IO a) -> IO a -withKey2AndIV key1 key2 iv f = - keyToPtr key1 $ \kptr1 -> keyToPtr key2 $ \kptr2 -> ivToPtr iv $ \ivp -> f kptr1 kptr2 ivp - -withGCMKeyAndCopySt :: AES -> AESGCM -> (Ptr AESGCM -> Ptr AES -> IO a) -> IO (a, AESGCM) -withGCMKeyAndCopySt aes (AESGCM gcmSt) f = - keyToPtr aes $ \aesPtr -> do - newSt <- B.copy gcmSt (\_ -> return ()) - a <- withByteArray newSt $ \gcmStPtr -> f (castPtr gcmStPtr) aesPtr - return (a, AESGCM newSt) - -withNewGCMSt :: AESGCM -> (Ptr AESGCM -> IO ()) -> IO AESGCM -withNewGCMSt (AESGCM gcmSt) f = B.copy gcmSt (f . castPtr) >>= \sm2 -> return (AESGCM sm2) - -withOCBKeyAndCopySt :: AES -> AESOCB -> (Ptr AESOCB -> Ptr AES -> IO a) -> IO (a, AESOCB) -withOCBKeyAndCopySt aes (AESOCB gcmSt) f = - keyToPtr aes $ \aesPtr -> do - newSt <- B.copy gcmSt (\_ -> return ()) - a <- withByteArray newSt $ \gcmStPtr -> f (castPtr gcmStPtr) aesPtr - return (a, AESOCB newSt) - -withCCMKeyAndCopySt :: AES -> AESCCM -> (Ptr AESCCM -> Ptr AES -> IO a) -> IO (a, AESCCM) -withCCMKeyAndCopySt aes (AESCCM ccmSt) f = - keyToPtr aes $ \aesPtr -> do - newSt <- B.copy ccmSt (\_ -> return ()) - a <- withByteArray newSt $ \ccmStPtr -> f (castPtr ccmStPtr) aesPtr - return (a, AESCCM newSt) - --- | Initialize a new context with a key --- --- Key needs to be of length 16, 24 or 32 bytes. Any other values will return failure -initAES :: ByteArrayAccess key => key -> CryptoFailable AES -initAES k - | len == 16 = CryptoPassed $ initWithRounds 10 - | len == 24 = CryptoPassed $ initWithRounds 12 - | len == 32 = CryptoPassed $ initWithRounds 14 - | otherwise = CryptoFailed CryptoError_KeySizeInvalid - where len = B.length k - initWithRounds nbR = AES $ B.allocAndFreeze (16+2*2*16*nbR) aesInit - aesInit ptr = withByteArray k $ \ikey -> - c_aes_init (castPtr ptr) (castPtr ikey) (fromIntegral len) - --- | encrypt using Electronic Code Book (ECB) -{-# NOINLINE encryptECB #-} -encryptECB :: ByteArray ba => AES -> ba -> ba -encryptECB = doECB c_aes_encrypt_ecb - --- | encrypt using Cipher Block Chaining (CBC) -{-# NOINLINE encryptCBC #-} -encryptCBC :: ByteArray ba - => AES -- ^ AES Context - -> IV AES -- ^ Initial vector of AES block size - -> ba -- ^ plaintext - -> ba -- ^ ciphertext -encryptCBC = doCBC c_aes_encrypt_cbc - --- | generate a counter mode pad. this is generally xor-ed to an input --- to make the standard counter mode block operations. --- --- if the length requested is not a multiple of the block cipher size, --- more data will be returned, so that the returned bytearray is --- a multiple of the block cipher size. -{-# NOINLINE genCTR #-} -genCTR :: ByteArray ba - => AES -- ^ Cipher Key. - -> IV AES -- ^ usually a 128 bit integer. - -> Int -- ^ length of bytes required. - -> ba -genCTR ctx (IV iv) len - | len <= 0 = B.empty - | otherwise = B.allocAndFreeze (nbBlocks * 16) generate - where generate o = withKeyAndIV ctx iv $ \k i -> c_aes_gen_ctr (castPtr o) k i (fromIntegral nbBlocks) - (nbBlocks',r) = len `quotRem` 16 - nbBlocks = if r == 0 then nbBlocks' else nbBlocks' + 1 - --- | generate a counter mode pad. this is generally xor-ed to an input --- to make the standard counter mode block operations. --- --- if the length requested is not a multiple of the block cipher size, --- more data will be returned, so that the returned bytearray is --- a multiple of the block cipher size. --- --- Similiar to 'genCTR' but also return the next IV for continuation -{-# NOINLINE genCounter #-} -genCounter :: ByteArray ba - => AES - -> IV AES - -> Int - -> (ba, IV AES) -genCounter ctx iv len - | len <= 0 = (B.empty, iv) - | otherwise = unsafeDoIO $ - keyToPtr ctx $ \k -> - ivCopyPtr iv $ \i -> - B.alloc outputLength $ \o -> do - c_aes_gen_ctr_cont (castPtr o) k i (fromIntegral nbBlocks) - where - (nbBlocks',r) = len `quotRem` 16 - nbBlocks = if r == 0 then nbBlocks' else nbBlocks' + 1 - outputLength = nbBlocks * 16 - -{- TODO: when genCTR has same AESIV requirements for IV, add the following rules: - - RULES "snd . genCounter" forall ctx iv len . snd (genCounter ctx iv len) = genCTR ctx iv len - -} - --- | encrypt using Counter mode (CTR) --- --- in CTR mode encryption and decryption is the same operation. -{-# NOINLINE encryptCTR #-} -encryptCTR :: ByteArray ba - => AES -- ^ AES Context - -> IV AES -- ^ initial vector of AES block size (usually representing a 128 bit integer) - -> ba -- ^ plaintext input - -> ba -- ^ ciphertext output -encryptCTR ctx iv input - | len <= 0 = B.empty - | B.length iv /= 16 = error $ "AES error: IV length must be block size (16). Its length is: " ++ (show $ B.length iv) - | otherwise = B.allocAndFreeze len doEncrypt - where doEncrypt o = withKeyAndIV ctx iv $ \k v -> withByteArray input $ \i -> - c_aes_encrypt_ctr (castPtr o) k v i (fromIntegral len) - len = B.length input - --- | encrypt using XTS --- --- the first key is the normal block encryption key --- the second key is used for the initial block tweak -{-# NOINLINE encryptXTS #-} -encryptXTS :: ByteArray ba - => (AES,AES) -- ^ AES cipher and tweak context - -> IV AES -- ^ a 128 bits IV, typically a sector or a block offset in XTS - -> Word32 -- ^ number of rounds to skip, also seen a 16 byte offset in the sector or block. - -> ba -- ^ input to encrypt - -> ba -- ^ output encrypted -encryptXTS = doXTS c_aes_encrypt_xts - --- | decrypt using Electronic Code Book (ECB) -{-# NOINLINE decryptECB #-} -decryptECB :: ByteArray ba => AES -> ba -> ba -decryptECB = doECB c_aes_decrypt_ecb - --- | decrypt using Cipher block chaining (CBC) -{-# NOINLINE decryptCBC #-} -decryptCBC :: ByteArray ba => AES -> IV AES -> ba -> ba -decryptCBC = doCBC c_aes_decrypt_cbc - --- | decrypt using Counter mode (CTR). --- --- in CTR mode encryption and decryption is the same operation. -decryptCTR :: ByteArray ba - => AES -- ^ AES Context - -> IV AES -- ^ initial vector, usually representing a 128 bit integer - -> ba -- ^ ciphertext input - -> ba -- ^ plaintext output -decryptCTR = encryptCTR - --- | decrypt using XTS -{-# NOINLINE decryptXTS #-} -decryptXTS :: ByteArray ba - => (AES,AES) -- ^ AES cipher and tweak context - -> IV AES -- ^ a 128 bits IV, typically a sector or a block offset in XTS - -> Word32 -- ^ number of rounds to skip, also seen a 16 byte offset in the sector or block. - -> ba -- ^ input to decrypt - -> ba -- ^ output decrypted -decryptXTS = doXTS c_aes_decrypt_xts - --- | encrypt/decrypt using Counter mode (32-bit wrapping used in AES-GCM-SIV) -{-# NOINLINE combineC32 #-} -combineC32 :: ByteArray ba - => AES -- ^ AES Context - -> IV AES -- ^ initial vector of AES block size (usually representing a 128 bit integer) - -> ba -- ^ plaintext input - -> ba -- ^ ciphertext output -combineC32 ctx iv input - | len <= 0 = B.empty - | B.length iv /= 16 = error $ "AES error: IV length must be block size (16). Its length is: " ++ show (B.length iv) - | otherwise = B.allocAndFreeze len doEncrypt - where doEncrypt o = withKeyAndIV ctx iv $ \k v -> withByteArray input $ \i -> - c_aes_encrypt_c32 (castPtr o) k v i (fromIntegral len) - len = B.length input - -{-# INLINE doECB #-} -doECB :: ByteArray ba - => (Ptr b -> Ptr AES -> CString -> CUInt -> IO ()) - -> AES -> ba -> ba -doECB f ctx input - | len == 0 = B.empty - | r /= 0 = error $ "Encryption error: input length must be a multiple of block size (16). Its length is: " ++ (show len) - | otherwise = - B.allocAndFreeze len $ \o -> - keyToPtr ctx $ \k -> - withByteArray input $ \i -> - f (castPtr o) k i (fromIntegral nbBlocks) - where (nbBlocks, r) = len `quotRem` 16 - len = B.length input - -{-# INLINE doCBC #-} -doCBC :: ByteArray ba - => (Ptr b -> Ptr AES -> Ptr Word8 -> CString -> CUInt -> IO ()) - -> AES -> IV AES -> ba -> ba -doCBC f ctx (IV iv) input - | len == 0 = B.empty - | r /= 0 = error $ "Encryption error: input length must be a multiple of block size (16). Its length is: " ++ (show len) - | otherwise = B.allocAndFreeze len $ \o -> - withKeyAndIV ctx iv $ \k v -> - withByteArray input $ \i -> - f (castPtr o) k v i (fromIntegral nbBlocks) - where (nbBlocks, r) = len `quotRem` 16 - len = B.length input - -{-# INLINE doXTS #-} -doXTS :: ByteArray ba - => (Ptr b -> Ptr AES -> Ptr AES -> Ptr Word8 -> CUInt -> CString -> CUInt -> IO ()) - -> (AES, AES) - -> IV AES - -> Word32 - -> ba - -> ba -doXTS f (key1,key2) iv spoint input - | len == 0 = B.empty - | r /= 0 = error $ "Encryption error: input length must be a multiple of block size (16) for now. Its length is: " ++ (show len) - | otherwise = B.allocAndFreeze len $ \o -> withKey2AndIV key1 key2 iv $ \k1 k2 v -> withByteArray input $ \i -> - f (castPtr o) k1 k2 v (fromIntegral spoint) i (fromIntegral nbBlocks) - where (nbBlocks, r) = len `quotRem` 16 - len = B.length input - ------------------------------------------------------------------------- --- GCM ------------------------------------------------------------------------- - --- | initialize a gcm context -{-# NOINLINE gcmInit #-} -gcmInit :: ByteArrayAccess iv => AES -> iv -> AESGCM -gcmInit ctx iv = unsafeDoIO $ do - sm <- B.alloc sizeGCM $ \gcmStPtr -> - withKeyAndIV ctx iv $ \k v -> - c_aes_gcm_init (castPtr gcmStPtr) k v (fromIntegral $ B.length iv) - return $ AESGCM sm - --- | append data which is only going to be authenticated to the GCM context. --- --- needs to happen after initialization and before appending encryption/decryption data. -{-# NOINLINE gcmAppendAAD #-} -gcmAppendAAD :: ByteArrayAccess aad => AESGCM -> aad -> AESGCM -gcmAppendAAD gcmSt input = unsafeDoIO doAppend - where doAppend = - withNewGCMSt gcmSt $ \gcmStPtr -> - withByteArray input $ \i -> - c_aes_gcm_aad gcmStPtr i (fromIntegral $ B.length input) - --- | append data to encrypt and append to the GCM context --- --- the bytearray needs to be a multiple of AES block size, unless it's the last call to this function. --- needs to happen after AAD appending, or after initialization if no AAD data. -{-# NOINLINE gcmAppendEncrypt #-} -gcmAppendEncrypt :: ByteArray ba => AES -> AESGCM -> ba -> (ba, AESGCM) -gcmAppendEncrypt ctx gcm input = unsafeDoIO $ withGCMKeyAndCopySt ctx gcm doEnc - where len = B.length input - doEnc gcmStPtr aesPtr = - B.alloc len $ \o -> - withByteArray input $ \i -> - c_aes_gcm_encrypt (castPtr o) gcmStPtr aesPtr i (fromIntegral len) - --- | append data to decrypt and append to the GCM context --- --- the bytearray needs to be a multiple of AES block size, unless it's the last call to this function. --- needs to happen after AAD appending, or after initialization if no AAD data. -{-# NOINLINE gcmAppendDecrypt #-} -gcmAppendDecrypt :: ByteArray ba => AES -> AESGCM -> ba -> (ba, AESGCM) -gcmAppendDecrypt ctx gcm input = unsafeDoIO $ withGCMKeyAndCopySt ctx gcm doDec - where len = B.length input - doDec gcmStPtr aesPtr = - B.alloc len $ \o -> - withByteArray input $ \i -> - c_aes_gcm_decrypt (castPtr o) gcmStPtr aesPtr i (fromIntegral len) - --- | Generate the Tag from GCM context -{-# NOINLINE gcmFinish #-} -gcmFinish :: AES -> AESGCM -> Int -> AuthTag -gcmFinish ctx gcm taglen = AuthTag $ B.take taglen computeTag - where computeTag = B.allocAndFreeze 16 $ \t -> - withGCMKeyAndCopySt ctx gcm (c_aes_gcm_finish (castPtr t)) >> return () - ------------------------------------------------------------------------- --- OCB v3 ------------------------------------------------------------------------- - --- | initialize an ocb context -{-# NOINLINE ocbInit #-} -ocbInit :: ByteArrayAccess iv => AES -> iv -> AESOCB -ocbInit ctx iv = unsafeDoIO $ do - sm <- B.alloc sizeOCB $ \ocbStPtr -> - withKeyAndIV ctx iv $ \k v -> - c_aes_ocb_init (castPtr ocbStPtr) k v (fromIntegral $ B.length iv) - return $ AESOCB sm - --- | append data which is going to just be authenticated to the OCB context. --- --- need to happen after initialization and before appending encryption/decryption data. -{-# NOINLINE ocbAppendAAD #-} -ocbAppendAAD :: ByteArrayAccess aad => AES -> AESOCB -> aad -> AESOCB -ocbAppendAAD ctx ocb input = unsafeDoIO (snd `fmap` withOCBKeyAndCopySt ctx ocb doAppend) - where doAppend ocbStPtr aesPtr = - withByteArray input $ \i -> - c_aes_ocb_aad ocbStPtr aesPtr i (fromIntegral $ B.length input) - --- | append data to encrypt and append to the OCB context --- --- the bytearray needs to be a multiple of the AES block size, unless it's the last call to this function. --- need to happen after AAD appending, or after initialization if no AAD data. -{-# NOINLINE ocbAppendEncrypt #-} -ocbAppendEncrypt :: ByteArray ba => AES -> AESOCB -> ba -> (ba, AESOCB) -ocbAppendEncrypt ctx ocb input = unsafeDoIO $ withOCBKeyAndCopySt ctx ocb doEnc - where len = B.length input - doEnc ocbStPtr aesPtr = - B.alloc len $ \o -> - withByteArray input $ \i -> - c_aes_ocb_encrypt (castPtr o) ocbStPtr aesPtr i (fromIntegral len) - --- | append data to decrypt and append to the OCB context --- --- the bytearray needs to be a multiple of the AES block size, unless it's the last call to this function. --- need to happen after AAD appending, or after initialization if no AAD data. -{-# NOINLINE ocbAppendDecrypt #-} -ocbAppendDecrypt :: ByteArray ba => AES -> AESOCB -> ba -> (ba, AESOCB) -ocbAppendDecrypt ctx ocb input = unsafeDoIO $ withOCBKeyAndCopySt ctx ocb doDec - where len = B.length input - doDec ocbStPtr aesPtr = - B.alloc len $ \o -> - withByteArray input $ \i -> - c_aes_ocb_decrypt (castPtr o) ocbStPtr aesPtr i (fromIntegral len) - --- | Generate the Tag from OCB context -{-# NOINLINE ocbFinish #-} -ocbFinish :: AES -> AESOCB -> Int -> AuthTag -ocbFinish ctx ocb taglen = AuthTag $ B.take taglen computeTag - where computeTag = B.allocAndFreeze 16 $ \t -> - withOCBKeyAndCopySt ctx ocb (c_aes_ocb_finish (castPtr t)) >> return () - -ccmGetM :: CCM_M -> Int -ccmGetL :: CCM_L -> Int -ccmGetM m = case m of - CCM_M4 -> 4 - CCM_M6 -> 6 - CCM_M8 -> 8 - CCM_M10 -> 10 - CCM_M12 -> 12 - CCM_M14 -> 14 - CCM_M16 -> 16 - -ccmGetL l = case l of - CCM_L2 -> 2 - CCM_L3 -> 3 - CCM_L4 -> 4 - --- | initialize a ccm context -{-# NOINLINE ccmInit #-} -ccmInit :: ByteArrayAccess iv => AES -> iv -> Int -> CCM_M -> CCM_L -> CryptoFailable AESCCM -ccmInit ctx iv n m l - | 15 - li /= B.length iv = CryptoFailed CryptoError_IvSizeInvalid - | otherwise = unsafeDoIO $ do - sm <- B.alloc sizeCCM $ \ccmStPtr -> - withKeyAndIV ctx iv $ \k v -> - c_aes_ccm_init (castPtr ccmStPtr) k v (fromIntegral $ B.length iv) (fromIntegral n) (fromIntegral mi) (fromIntegral li) - return $ CryptoPassed (AESCCM sm) - where - mi = ccmGetM m - li = ccmGetL l - --- | append data which is only going to be authenticated to the CCM context. --- --- needs to happen after initialization and before appending encryption/decryption data. -{-# NOINLINE ccmAppendAAD #-} -ccmAppendAAD :: ByteArrayAccess aad => AES -> AESCCM -> aad -> AESCCM -ccmAppendAAD ctx ccm input = unsafeDoIO $ snd <$> withCCMKeyAndCopySt ctx ccm doAppend - where doAppend ccmStPtr aesPtr = - withByteArray input $ \i -> c_aes_ccm_aad ccmStPtr aesPtr i (fromIntegral $ B.length input) - --- | append data to encrypt and append to the CCM context --- --- the bytearray needs to be a multiple of AES block size, unless it's the last call to this function. --- needs to happen after AAD appending, or after initialization if no AAD data. -{-# NOINLINE ccmEncrypt #-} -ccmEncrypt :: ByteArray ba => AES -> AESCCM -> ba -> (ba, AESCCM) -ccmEncrypt ctx ccm input = unsafeDoIO $ withCCMKeyAndCopySt ctx ccm cbcmacAndIv - where len = B.length input - cbcmacAndIv ccmStPtr aesPtr = - B.alloc len $ \o -> - withByteArray input $ \i -> - c_aes_ccm_encrypt (castPtr o) ccmStPtr aesPtr i (fromIntegral len) - --- | append data to decrypt and append to the CCM context --- --- the bytearray needs to be a multiple of AES block size, unless it's the last call to this function. --- needs to happen after AAD appending, or after initialization if no AAD data. -{-# NOINLINE ccmDecrypt #-} -ccmDecrypt :: ByteArray ba => AES -> AESCCM -> ba -> (ba, AESCCM) -ccmDecrypt ctx ccm input = unsafeDoIO $ withCCMKeyAndCopySt ctx ccm cbcmacAndIv - where len = B.length input - cbcmacAndIv ccmStPtr aesPtr = - B.alloc len $ \o -> - withByteArray input $ \i -> - c_aes_ccm_decrypt (castPtr o) ccmStPtr aesPtr i (fromIntegral len) - --- | Generate the Tag from CCM context -{-# NOINLINE ccmFinish #-} -ccmFinish :: AES -> AESCCM -> Int -> AuthTag -ccmFinish ctx ccm taglen = AuthTag $ B.take taglen computeTag - where computeTag = B.allocAndFreeze 16 $ \t -> - withCCMKeyAndCopySt ctx ccm (c_aes_ccm_finish (castPtr t)) >> return () - ------------------------------------------------------------------------- -foreign import ccall "crypton_aes.h crypton_aes_initkey" - c_aes_init :: Ptr AES -> CString -> CUInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_encrypt_ecb" - c_aes_encrypt_ecb :: CString -> Ptr AES -> CString -> CUInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_decrypt_ecb" - c_aes_decrypt_ecb :: CString -> Ptr AES -> CString -> CUInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_encrypt_cbc" - c_aes_encrypt_cbc :: CString -> Ptr AES -> Ptr Word8 -> CString -> CUInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_decrypt_cbc" - c_aes_decrypt_cbc :: CString -> Ptr AES -> Ptr Word8 -> CString -> CUInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_encrypt_xts" - c_aes_encrypt_xts :: CString -> Ptr AES -> Ptr AES -> Ptr Word8 -> CUInt -> CString -> CUInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_decrypt_xts" - c_aes_decrypt_xts :: CString -> Ptr AES -> Ptr AES -> Ptr Word8 -> CUInt -> CString -> CUInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_gen_ctr" - c_aes_gen_ctr :: CString -> Ptr AES -> Ptr Word8 -> CUInt -> IO () - -foreign import ccall unsafe "crypton_aes.h crypton_aes_gen_ctr_cont" - c_aes_gen_ctr_cont :: CString -> Ptr AES -> Ptr Word8 -> CUInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_encrypt_ctr" - c_aes_encrypt_ctr :: CString -> Ptr AES -> Ptr Word8 -> CString -> CUInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_encrypt_c32" - c_aes_encrypt_c32 :: CString -> Ptr AES -> Ptr Word8 -> CString -> CUInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_gcm_init" - c_aes_gcm_init :: Ptr AESGCM -> Ptr AES -> Ptr Word8 -> CUInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_gcm_aad" - c_aes_gcm_aad :: Ptr AESGCM -> CString -> CUInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_gcm_encrypt" - c_aes_gcm_encrypt :: CString -> Ptr AESGCM -> Ptr AES -> CString -> CUInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_gcm_decrypt" - c_aes_gcm_decrypt :: CString -> Ptr AESGCM -> Ptr AES -> CString -> CUInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_gcm_finish" - c_aes_gcm_finish :: CString -> Ptr AESGCM -> Ptr AES -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_ocb_init" - c_aes_ocb_init :: Ptr AESOCB -> Ptr AES -> Ptr Word8 -> CUInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_ocb_aad" - c_aes_ocb_aad :: Ptr AESOCB -> Ptr AES -> CString -> CUInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_ocb_encrypt" - c_aes_ocb_encrypt :: CString -> Ptr AESOCB -> Ptr AES -> CString -> CUInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_ocb_decrypt" - c_aes_ocb_decrypt :: CString -> Ptr AESOCB -> Ptr AES -> CString -> CUInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_ocb_finish" - c_aes_ocb_finish :: CString -> Ptr AESOCB -> Ptr AES -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_ccm_init" - c_aes_ccm_init :: Ptr AESCCM -> Ptr AES -> Ptr Word8 -> CUInt -> CUInt -> CInt -> CInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_ccm_aad" - c_aes_ccm_aad :: Ptr AESCCM -> Ptr AES -> CString -> CUInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_ccm_encrypt" - c_aes_ccm_encrypt :: CString -> Ptr AESCCM -> Ptr AES -> CString -> CUInt -> IO () - -foreign import ccall "crypton_aes.h crypton_aes_ccm_decrypt" - c_aes_ccm_decrypt :: CString -> Ptr AESCCM -> Ptr AES -> CString -> CUInt -> IO () +{-# LANGUAGE BangPatterns #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} +{-# LANGUAGE ViewPatterns #-} + +-- | +-- Module : Crypto.Cipher.AES.Primitive +-- License : BSD-style +-- Maintainer : Vincent Hanquez +-- Stability : stable +-- Portability : good +module Crypto.Cipher.AES.Primitive ( + -- * Block cipher data types + AES, + + -- * Authenticated encryption block cipher types + AESGCM, + AESOCB, + + -- * Creation + initAES, + + -- * Miscellanea + + -- * Encryption + encryptECB, + encryptCBC, + encryptCTR, + encryptXTS, + + -- * Decryption + decryptECB, + decryptCBC, + decryptCTR, + decryptXTS, + + -- * CTR with 32-bit wrapping + combineC32, + + -- * Incremental GCM + gcmMode, + gcmInit, + AESGCMKey, + gcmKeyInit, + gcmFullEncrypt, + gcmFullEncryptMask, + gcmFullDecrypt, + gcmFullDecryptTag, + gcmAeadInit, + + -- * Incremental OCB + ocbMode, + ocbModeWithTagLength, + ocbInit, + ocbInitWithTagLength, + + -- * CCM + ccmMode, + ccmInit, +) where + +import Data.Word +import Foreign.C.String +import Foreign.C.Types +import Foreign.Ptr + +import Crypto.Cipher.Types +import Crypto.Cipher.Types.Block (IV (..)) +import Crypto.Error +import Crypto.Internal.ByteArray ( + ByteArray, + ByteArrayAccess, + ScrubbedBytes, + withByteArray, + ) +import qualified Crypto.Internal.ByteArray as B +import Crypto.Internal.Compat +import Crypto.Internal.Imports + +instance Cipher AES where + cipherName _ = "AES" + cipherKeySize _ = KeySizeEnum [16, 24, 32] + cipherInit k = initAES k + +instance BlockCipher AES where + blockSize _ = 16 + ecbEncrypt = encryptECB + ecbDecrypt = decryptECB + cbcEncrypt = encryptCBC + cbcDecrypt = decryptCBC + ctrCombine = encryptCTR + aeadInit AEAD_GCM aes iv = gcmAeadInit aes iv + aeadInit AEAD_OCB aes iv = CryptoPassed $ AEAD (ocbMode aes) (ocbInit aes iv) + aeadInit (AEAD_CCM n m l) aes iv = AEAD (ccmMode aes) <$> ccmInit aes iv n m l + aeadInit _ _ _ = CryptoFailed CryptoError_AEADModeNotSupported +instance BlockCipher128 AES where + xtsEncrypt = encryptXTS + xtsDecrypt = decryptXTS + +-- | Create an AES AEAD context for GCM, refusing the zero-length IV that +-- SP 800-38D 5.2.1.1 forbids: any length other than 96 bits is fed to +-- GHASH, and for the empty IV that makes J0 the GHASH of the empty +-- string, which leaks the authentication key. +gcmAeadInit :: ByteArrayAccess iv => AES -> iv -> CryptoFailable (AEAD c) +gcmAeadInit aes iv + | B.length iv == 0 = CryptoFailed CryptoError_IvSizeInvalid + | otherwise = CryptoPassed $ AEAD (gcmMode aes) (gcmInit aes iv) + +-- | Create an AES AEAD implementation for GCM +gcmMode :: AES -> AEADModeImpl AESGCM +gcmMode aes = + AEADModeImpl + { aeadImplAppendHeader = gcmAppendAAD + , aeadImplEncrypt = gcmAppendEncrypt aes + , aeadImplDecrypt = gcmAppendDecrypt aes + , aeadImplFinalize = gcmFinish aes + } + +-- | Create an AES AEAD implementation for OCB +ocbMode :: AES -> AEADModeImpl AESOCB +ocbMode aes = + AEADModeImpl + { aeadImplAppendHeader = ocbAppendAAD aes + , aeadImplEncrypt = ocbAppendEncrypt aes + , aeadImplDecrypt = ocbAppendDecrypt aes + , aeadImplFinalize = ocbFinish aes + } + +ocbModeWithTagLength :: AES -> Int -> AEADModeImpl AESOCB +ocbModeWithTagLength aes taglen = + AEADModeImpl + { aeadImplAppendHeader = ocbAppendAAD aes + , aeadImplEncrypt = ocbAppendEncrypt aes + , aeadImplDecrypt = ocbAppendDecrypt aes + , aeadImplFinalize = \ocb _ -> ocbFinish aes ocb taglen + } + +-- | Create an AES AEAD implementation for CCM +ccmMode :: AES -> AEADModeImpl AESCCM +ccmMode aes = + AEADModeImpl + { aeadImplAppendHeader = ccmAppendAAD aes + , aeadImplEncrypt = ccmEncrypt aes + , aeadImplDecrypt = ccmDecrypt aes + , aeadImplFinalize = ccmFinish aes + } + +-- | AES Context (pre-processed key) +newtype AES = AES ScrubbedBytes + deriving (NFData) + +-- | AESGCM State +newtype AESGCM = AESGCM ScrubbedBytes + deriving (NFData) + +-- | AESOCB State +newtype AESOCB = AESOCB ScrubbedBytes + deriving (NFData) + +-- | AESCCM State +newtype AESCCM = AESCCM ScrubbedBytes + deriving (NFData) + +sizeGCM :: Int +sizeGCM = 320 + +-- | The size of what a key determines, which is the 320 bytes above and the +-- powers of H the fused path reads: sixteen of them, and sixteen more for +-- the term the Karatsuba multiplication would otherwise work out every time. +-- The same on every platform, so that this is one number rather than one per +-- architecture; the powers are filled only where that path is compiled in. +sizeGCMKey :: Int +sizeGCMKey = 832 + +sizeOCB :: Int +sizeOCB = 160 + +sizeCCM :: Int +sizeCCM = 80 + +keyToPtr :: AES -> (Ptr AES -> IO a) -> IO a +keyToPtr (AES b) f = withByteArray b (f . castPtr) + +ivToPtr :: ByteArrayAccess iv => iv -> (Ptr Word8 -> IO a) -> IO a +ivToPtr iv f = withByteArray iv (f . castPtr) + +withKeyAndIV + :: ByteArrayAccess iv => AES -> iv -> (Ptr AES -> Ptr Word8 -> IO a) -> IO a +withKeyAndIV ctx iv f = keyToPtr ctx $ \kptr -> ivToPtr iv $ \ivp -> f kptr ivp + +withKey2AndIV + :: ByteArrayAccess iv + => AES -> AES -> iv -> (Ptr AES -> Ptr AES -> Ptr Word8 -> IO a) -> IO a +withKey2AndIV key1 key2 iv f = + keyToPtr key1 $ \kptr1 -> keyToPtr key2 $ \kptr2 -> ivToPtr iv $ \ivp -> f kptr1 kptr2 ivp + +withGCMKeyAndCopySt + :: AES -> AESGCM -> (Ptr AESGCM -> Ptr AES -> IO a) -> IO (a, AESGCM) +withGCMKeyAndCopySt aes (AESGCM gcmSt) f = + keyToPtr aes $ \aesPtr -> do + newSt <- B.copy gcmSt (\_ -> return ()) + a <- withByteArray newSt $ \gcmStPtr -> f (castPtr gcmStPtr) aesPtr + return (a, AESGCM newSt) + +withNewGCMSt :: AESGCM -> (Ptr AESGCM -> IO ()) -> IO AESGCM +withNewGCMSt (AESGCM gcmSt) f = B.copy gcmSt (f . castPtr) >>= \sm2 -> return (AESGCM sm2) + +withOCBKeyAndCopySt + :: AES -> AESOCB -> (Ptr AESOCB -> Ptr AES -> IO a) -> IO (a, AESOCB) +withOCBKeyAndCopySt aes (AESOCB gcmSt) f = + keyToPtr aes $ \aesPtr -> do + newSt <- B.copy gcmSt (\_ -> return ()) + a <- withByteArray newSt $ \gcmStPtr -> f (castPtr gcmStPtr) aesPtr + return (a, AESOCB newSt) + +withCCMKeyAndCopySt + :: AES -> AESCCM -> (Ptr AESCCM -> Ptr AES -> IO a) -> IO (a, AESCCM) +withCCMKeyAndCopySt aes (AESCCM ccmSt) f = + keyToPtr aes $ \aesPtr -> do + newSt <- B.copy ccmSt (\_ -> return ()) + a <- withByteArray newSt $ \ccmStPtr -> f (castPtr ccmStPtr) aesPtr + return (a, AESCCM newSt) + +-- | Initialize a new context with a key +-- +-- Key needs to be of length 16, 24 or 32 bytes. Any other values will return failure +initAES :: ByteArrayAccess key => key -> CryptoFailable AES +initAES k + | len == 16 = CryptoPassed $ initWithRounds 10 + | len == 24 = CryptoPassed $ initWithRounds 12 + | len == 32 = CryptoPassed $ initWithRounds 14 + | otherwise = CryptoFailed CryptoError_KeySizeInvalid + where + len = B.length k + initWithRounds nbR = AES $ B.allocAndFreeze (16 + 2 * 2 * 16 * nbR) aesInit + aesInit ptr = withByteArray k $ \ikey -> + c_aes_init (castPtr ptr) (castPtr ikey) (fromIntegral len) + +-- | encrypt using Electronic Code Book (ECB) +{-# NOINLINE encryptECB #-} +encryptECB :: ByteArray ba => AES -> ba -> ba +encryptECB = doECB c_aes_encrypt_ecb + +-- | encrypt using Cipher Block Chaining (CBC) +{-# NOINLINE encryptCBC #-} +encryptCBC + :: ByteArray ba + => AES + -- ^ AES Context + -> IV AES + -- ^ Initial vector of AES block size + -> ba + -- ^ plaintext + -> ba + -- ^ ciphertext +encryptCBC = doCBC c_aes_encrypt_cbc + +-- | encrypt using Counter mode (CTR) +-- +-- in CTR mode encryption and decryption is the same operation. +{-# NOINLINE encryptCTR #-} +encryptCTR + :: ByteArray ba + => AES + -- ^ AES Context + -> IV AES + -- ^ initial vector of AES block size (usually representing a 128 bit integer) + -> ba + -- ^ plaintext input + -> ba + -- ^ ciphertext output +encryptCTR ctx iv input + | len <= 0 = B.empty + | B.overCLength len = error tooLongMessage + | B.length iv /= 16 = + error $ + "AES error: IV length must be block size (16). Its length is: " + ++ (show $ B.length iv) + | otherwise = B.allocAndFreeze len doEncrypt + where + doEncrypt o = withKeyAndIV ctx iv $ \k v -> withByteArray input $ \i -> + c_aes_encrypt_ctr (castPtr o) k v i (fromIntegral len) + len = B.length input + +-- | encrypt using XTS +-- +-- the first key is the normal block encryption key +-- the second key is used for the initial block tweak +{-# NOINLINE encryptXTS #-} +encryptXTS + :: ByteArray ba + => (AES, AES) + -- ^ AES cipher and tweak context + -> IV AES + -- ^ a 128 bits IV, typically a sector or a block offset in XTS + -> Word32 + -- ^ number of rounds to skip, also seen a 16 byte offset in the sector or block. + -> ba + -- ^ input to encrypt + -> ba + -- ^ output encrypted +encryptXTS = doXTS c_aes_encrypt_xts + +-- | decrypt using Electronic Code Book (ECB) +{-# NOINLINE decryptECB #-} +decryptECB :: ByteArray ba => AES -> ba -> ba +decryptECB = doECB c_aes_decrypt_ecb + +-- | decrypt using Cipher block chaining (CBC) +{-# NOINLINE decryptCBC #-} +decryptCBC :: ByteArray ba => AES -> IV AES -> ba -> ba +decryptCBC = doCBC c_aes_decrypt_cbc + +-- | decrypt using Counter mode (CTR). +-- +-- in CTR mode encryption and decryption is the same operation. +decryptCTR + :: ByteArray ba + => AES + -- ^ AES Context + -> IV AES + -- ^ initial vector, usually representing a 128 bit integer + -> ba + -- ^ ciphertext input + -> ba + -- ^ plaintext output +decryptCTR = encryptCTR + +-- | decrypt using XTS +{-# NOINLINE decryptXTS #-} +decryptXTS + :: ByteArray ba + => (AES, AES) + -- ^ AES cipher and tweak context + -> IV AES + -- ^ a 128 bits IV, typically a sector or a block offset in XTS + -> Word32 + -- ^ number of rounds to skip, also seen a 16 byte offset in the sector or block. + -> ba + -- ^ input to decrypt + -> ba + -- ^ output decrypted +decryptXTS = doXTS c_aes_decrypt_xts + +-- | encrypt/decrypt using Counter mode (32-bit wrapping used in AES-GCM-SIV) +{-# NOINLINE combineC32 #-} +combineC32 + :: ByteArray ba + => AES + -- ^ AES Context + -> IV AES + -- ^ initial vector of AES block size (usually representing a 128 bit integer) + -> ba + -- ^ plaintext input + -> ba + -- ^ ciphertext output +combineC32 ctx iv input + | len <= 0 = B.empty + | B.length iv /= 16 = + error $ + "AES error: IV length must be block size (16). Its length is: " + ++ show (B.length iv) + | otherwise = B.allocAndFreeze len doEncrypt + where + doEncrypt o = withKeyAndIV ctx iv $ \k v -> withByteArray input $ \i -> + c_aes_encrypt_c32 (castPtr o) k v i (fromIntegral len) + len = B.length input + +-- | What the AES modes say when a message cannot be given to the C, whose +-- lengths are @uint32_t@. Above that the length is truncated on the way +-- down and most of the buffer is left as it was found, with nothing to say +-- so, which is worse than refusing. +-- +-- Unlike the stream ciphers, these cannot be done in pieces: the C is handed +-- the IV and does not hand it back, so a second call would start from the +-- wrong place. ECB, CBC and XTS count blocks rather than bytes, so their +-- limit is sixteen times further out than CTR's. +tooLongMessage :: String +tooLongMessage = + "AES error: message too long for this implementation, whose C takes its " + ++ "lengths as uint32_t" + +{-# INLINE doECB #-} +doECB + :: ByteArray ba + => (Ptr b -> Ptr AES -> CString -> CUInt -> IO ()) + -> AES + -> ba + -> ba +doECB f ctx input + | B.overCLength nbBlocks = error tooLongMessage + | len == 0 = B.empty + | r /= 0 = + error $ + "Encryption error: input length must be a multiple of block size (16). Its length is: " + ++ (show len) + | otherwise = + B.allocAndFreeze len $ \o -> + keyToPtr ctx $ \k -> + withByteArray input $ \i -> + f (castPtr o) k i (fromIntegral nbBlocks) + where + (nbBlocks, r) = len `quotRem` 16 + len = B.length input + +{-# INLINE doCBC #-} +doCBC + :: ByteArray ba + => (Ptr b -> Ptr AES -> Ptr Word8 -> CString -> CUInt -> IO ()) + -> AES + -> IV AES + -> ba + -> ba +doCBC f ctx (IV iv) input + | B.overCLength nbBlocks = error tooLongMessage + | len == 0 = B.empty + | r /= 0 = + error $ + "Encryption error: input length must be a multiple of block size (16). Its length is: " + ++ (show len) + | otherwise = B.allocAndFreeze len $ \o -> + withKeyAndIV ctx iv $ \k v -> + withByteArray input $ \i -> + f (castPtr o) k v i (fromIntegral nbBlocks) + where + (nbBlocks, r) = len `quotRem` 16 + len = B.length input + +{-# INLINE doXTS #-} +doXTS + :: ByteArray ba + => (Ptr b -> Ptr AES -> Ptr AES -> Ptr Word8 -> CUInt -> CString -> CUInt -> IO ()) + -> (AES, AES) + -> IV AES + -> Word32 + -> ba + -> ba +doXTS f (key1, key2) iv spoint input + | B.overCLength nbBlocks = error tooLongMessage + | len == 0 = B.empty + | r /= 0 = + error $ + "Encryption error: input length must be a multiple of block size (16) for now. Its length is: " + ++ (show len) + | otherwise = B.allocAndFreeze len $ \o -> withKey2AndIV key1 key2 iv $ \k1 k2 v -> withByteArray input $ \i -> + f (castPtr o) k1 k2 v (fromIntegral spoint) i (fromIntegral nbBlocks) + where + (nbBlocks, r) = len `quotRem` 16 + len = B.length input + +------------------------------------------------------------------------ +-- GCM +------------------------------------------------------------------------ + +-- | initialize a gcm context +{-# NOINLINE gcmInit #-} +gcmInit :: ByteArrayAccess iv => AES -> iv -> AESGCM +gcmInit ctx iv = unsafeDoIO $ do + sm <- B.alloc sizeGCM $ \gcmStPtr -> + withKeyAndIV ctx iv $ \k v -> + c_aes_gcm_init (castPtr gcmStPtr) k v (fromIntegral $ B.length iv) + return $ AESGCM sm + +-- | How long a message may be and still be handed to an unsafe foreign call. +-- Four kibibytes is about half a microsecond of work, and it takes in a +-- datagram of any size a network will carry. +shortMessage :: Int +shortMessage = 4096 + +-- | The part of a GCM state the key alone determines: H, which is the key +-- applied to a block of zeroes, and the table of its multiples. That is 256 +-- of the 320 bytes of a GCM state, and it is the same for every message sent +-- under one key, so a caller that keeps a key can build this once rather than +-- once for every message. +newtype AESGCMKey = AESGCMKey ScrubbedBytes + +-- | Build the key part of a GCM state. +{-# NOINLINE gcmKeyInit #-} +gcmKeyInit :: AES -> AESGCMKey +gcmKeyInit ctx = AESGCMKey $ B.allocAndFreeze sizeGCMKey $ \p -> + keyToPtr ctx $ \k -> c_aes_gcm_key_init (castPtr p) k + +-- | Authenticate and encrypt one message in a single call: the nonce, the +-- additional data, the plaintext and the tag, with no state crossing back +-- into Haskell in between. The result is the ciphertext followed by the tag. +{-# INLINABLE gcmFullEncrypt #-} +gcmFullEncrypt + :: (ByteArrayAccess iv, ByteArrayAccess aad, ByteArrayAccess ba, ByteArray output) + => AES -> AESGCMKey -> iv -> aad -> ba -> Int -> output +gcmFullEncrypt ctx (AESGCMKey gk) iv aad input taglen = + B.allocAndFreeze (B.length input + taglen) $ \out -> + B.withByteArray gk $ \gkp -> + keyToPtr ctx $ \k -> + B.withByteArray iv $ \ivp -> + B.withByteArray aad $ \aadp -> + B.withByteArray input $ \inp -> + call + out + (castPtr gkp) + k + ivp + (fromIntegral $ B.length iv) + aadp + (fromIntegral $ B.length aad) + inp + (fromIntegral $ B.length input) + (fromIntegral taglen) + where + -- An unsafe call keeps a capability for as long as it runs, so it is only + -- right for work that is over quickly. A message this side of + -- 'shortMessage' is, and it is the short ones the saving matters for: a + -- safe call costs about 0.075 us whatever the length, which is a fifth of + -- a 1440-byte packet and a percent of a 16 KiB record. + call + | B.length input <= shortMessage = c_aes_gcm_full_encrypt_unsafe + | otherwise = c_aes_gcm_full_encrypt + +-- | Encrypt, and from a sample of the ciphertext just produced make the +-- header protection mask, into buffers the caller owns. QUIC takes its +-- sample from the ciphertext, so the mask cannot be had before the +-- encryption; it can be had before coming back, and with the buffers already +-- there nothing is allocated for either. +-- +-- @sampleoff@ is where the sixteen bytes of sample begin in the output. +{-# INLINABLE gcmFullEncryptMask #-} +gcmFullEncryptMask + :: (ByteArrayAccess iv, ByteArrayAccess aad, ByteArrayAccess ba) + => AES + -> AESGCMKey + -> AES + -> iv + -> aad + -> ba + -> Int + -> Int + -> Ptr Word8 + -> Ptr Word8 + -> IO () +gcmFullEncryptMask ctx (AESGCMKey gk) hpctx iv aad input taglen sampleoff outp maskp = + B.withByteArray gk $ \gkp -> + keyToPtr ctx $ \k -> + keyToPtr hpctx $ \hk -> + B.withByteArray iv $ \ivp -> + B.withByteArray aad $ \aadp -> + B.withByteArray input $ \inp -> + call + outp + (castPtr gkp) + k + ivp + (fromIntegral $ B.length iv) + aadp + (fromIntegral $ B.length aad) + inp + (fromIntegral $ B.length input) + (fromIntegral taglen) + hk + (fromIntegral sampleoff) + maskp + where + call + | B.length input <= shortMessage = c_aes_gcm_full_encrypt_mask_unsafe + | otherwise = c_aes_gcm_full_encrypt_mask + +-- | The same the other way, with the tag compared here rather than by the +-- caller: 'Nothing' when it does not match, and every byte of it is looked at +-- either way. The ciphertext comes in without its tag, which is given +-- separately. +{-# INLINABLE gcmFullDecrypt #-} +gcmFullDecrypt + :: ( ByteArrayAccess iv + , ByteArrayAccess aad + , ByteArrayAccess ba + , ByteArrayAccess tag + , ByteArray output + ) + => AES -> AESGCMKey -> iv -> aad -> ba -> tag -> Maybe output +gcmFullDecrypt ctx (AESGCMKey gk) iv aad input tag = unsafeDoIO $ do + (r, out) <- B.allocRet (B.length input) $ \outp -> + B.withByteArray gk $ \gkp -> + keyToPtr ctx $ \k -> + B.withByteArray iv $ \ivp -> + B.withByteArray aad $ \aadp -> + B.withByteArray input $ \inp -> + B.withByteArray tag $ \tagp -> + call + outp + (castPtr gkp) + k + ivp + (fromIntegral $ B.length iv) + aadp + (fromIntegral $ B.length aad) + inp + (fromIntegral $ B.length input) + tagp + (fromIntegral $ B.length tag) + return $ if r /= 0 then Just out else Nothing + where + call + | B.length input <= shortMessage = c_aes_gcm_full_decrypt_unsafe + | otherwise = c_aes_gcm_full_decrypt + +-- | Decrypt one message and hand back the tag that was computed over it, +-- rather than comparing it here. +-- +-- For a caller that holds the expected tag in a form of its own and will +-- compare it itself. Compare the two t'AuthTag's with '==', whose instance +-- for that type is a constant-time comparison; taking them apart and +-- comparing the bytes is how this goes wrong. +-- +-- Where the tag simply arrives after the ciphertext, 'gcmFullDecrypt' is the +-- one to use: it compares in C and never puts a tag in the caller's hands. +{-# INLINABLE gcmFullDecryptTag #-} +gcmFullDecryptTag + :: ( ByteArrayAccess iv + , ByteArrayAccess aad + , ByteArrayAccess ba + , ByteArray output + ) + => AES -> AESGCMKey -> iv -> aad -> ba -> Int -> (output, AuthTag) +gcmFullDecryptTag ctx (AESGCMKey gk) iv aad input taglen = unsafeDoIO $ do + (tagbs, out) <- B.allocRet (B.length input) $ \outp -> + B.alloc taglen $ \tagp -> + B.withByteArray gk $ \gkp -> + keyToPtr ctx $ \k -> + B.withByteArray iv $ \ivp -> + B.withByteArray aad $ \aadp -> + B.withByteArray input $ \inp -> + call + outp + tagp + (castPtr gkp) + k + ivp + (fromIntegral $ B.length iv) + aadp + (fromIntegral $ B.length aad) + inp + (fromIntegral $ B.length input) + (fromIntegral taglen) + return (out, AuthTag $ B.convert (tagbs :: B.Bytes)) + where + call + | B.length input <= shortMessage = c_aes_gcm_full_decrypt_tag_unsafe + | otherwise = c_aes_gcm_full_decrypt_tag + +-- | append data which is only going to be authenticated to the GCM context. +-- +-- needs to happen after initialization and before appending encryption/decryption data. +{-# NOINLINE gcmAppendAAD #-} +gcmAppendAAD :: ByteArrayAccess aad => AESGCM -> aad -> AESGCM +gcmAppendAAD gcmSt input = unsafeDoIO doAppend + where + doAppend = + withNewGCMSt gcmSt $ \gcmStPtr -> + withByteArray input $ \i -> + B.inCLengths (B.length input) $ \off n -> + c_aes_gcm_aad gcmStPtr (i `plusPtr` off) (fromIntegral n) + +-- | append data to encrypt and append to the GCM context +-- +-- the bytearray needs to be a multiple of AES block size, unless it's the last call to this function. +-- needs to happen after AAD appending, or after initialization if no AAD data. +{-# NOINLINE gcmAppendEncrypt #-} +gcmAppendEncrypt :: ByteArray ba => AES -> AESGCM -> ba -> (ba, AESGCM) +gcmAppendEncrypt ctx gcm input = unsafeDoIO $ withGCMKeyAndCopySt ctx gcm doEnc + where + len = B.length input + doEnc gcmStPtr aesPtr = + B.alloc len $ \o -> + withByteArray input $ \i -> + B.inCLengths len $ \off n -> + c_aes_gcm_encrypt + (castPtr o `plusPtr` off) + gcmStPtr + aesPtr + (i `plusPtr` off) + (fromIntegral n) + +-- | append data to decrypt and append to the GCM context +-- +-- the bytearray needs to be a multiple of AES block size, unless it's the last call to this function. +-- needs to happen after AAD appending, or after initialization if no AAD data. +{-# NOINLINE gcmAppendDecrypt #-} +gcmAppendDecrypt :: ByteArray ba => AES -> AESGCM -> ba -> (ba, AESGCM) +gcmAppendDecrypt ctx gcm input = unsafeDoIO $ withGCMKeyAndCopySt ctx gcm doDec + where + len = B.length input + doDec gcmStPtr aesPtr = + B.alloc len $ \o -> + withByteArray input $ \i -> + B.inCLengths len $ \off n -> + c_aes_gcm_decrypt + (castPtr o `plusPtr` off) + gcmStPtr + aesPtr + (i `plusPtr` off) + (fromIntegral n) + +-- | Generate the Tag from GCM context +{-# NOINLINE gcmFinish #-} +gcmFinish :: AES -> AESGCM -> Int -> AuthTag +gcmFinish ctx gcm taglen = AuthTag $ B.take taglen computeTag + where + computeTag = B.allocAndFreeze 16 $ \t -> + withGCMKeyAndCopySt ctx gcm (c_aes_gcm_finish (castPtr t)) >> return () + +------------------------------------------------------------------------ +-- OCB v3 +------------------------------------------------------------------------ + +-- | initialize an ocb context +{-# NOINLINE ocbInit #-} +ocbInit :: ByteArrayAccess iv => AES -> iv -> AESOCB +ocbInit ctx iv = unsafeDoIO $ do + sm <- B.alloc sizeOCB $ \ocbStPtr -> + withKeyAndIV ctx iv $ \k v -> + c_aes_ocb_init + (castPtr ocbStPtr) + k + v + (fromIntegral $ B.length iv) + 16 + return $ AESOCB sm + +-- | initialize an OCB context with a fixed authentication tag length. +-- +-- The tag length is expressed in bytes and must be in [0..16]. +-- The IV length must be in [1..15] bytes per RFC 7253. +{-# NOINLINE ocbInitWithTagLength #-} +ocbInitWithTagLength + :: ByteArrayAccess iv => AES -> iv -> Int -> CryptoFailable AESOCB +ocbInitWithTagLength ctx iv taglen + | taglen < 0 || taglen > 16 = + CryptoFailed CryptoError_AuthenticationTagSizeInvalid + | ivlen < 1 || ivlen > 15 = CryptoFailed CryptoError_IvSizeInvalid + | otherwise = CryptoPassed $ unsafeDoIO $ do + sm <- B.alloc sizeOCB $ \ocbStPtr -> + withKeyAndIV ctx iv $ \k v -> + c_aes_ocb_init + (castPtr ocbStPtr) + k + v + (fromIntegral ivlen) + (fromIntegral taglen) + return $ AESOCB sm + where + ivlen = B.length iv + +-- | append data which is going to just be authenticated to the OCB context. +-- +-- need to happen after initialization and before appending encryption/decryption data. +{-# NOINLINE ocbAppendAAD #-} +ocbAppendAAD :: ByteArrayAccess aad => AES -> AESOCB -> aad -> AESOCB +ocbAppendAAD ctx ocb input + | B.overCLength (B.length input) = error tooLongMessage + | otherwise = unsafeDoIO (snd `fmap` withOCBKeyAndCopySt ctx ocb doAppend) + where + doAppend ocbStPtr aesPtr = + withByteArray input $ \i -> + c_aes_ocb_aad ocbStPtr aesPtr i (fromIntegral $ B.length input) + +-- | append data to encrypt and append to the OCB context +-- +-- the bytearray needs to be a multiple of the AES block size, unless it's the last call to this function. +-- need to happen after AAD appending, or after initialization if no AAD data. +{-# NOINLINE ocbAppendEncrypt #-} +ocbAppendEncrypt :: ByteArray ba => AES -> AESOCB -> ba -> (ba, AESOCB) +ocbAppendEncrypt ctx ocb input + | B.overCLength (B.length input) = error tooLongMessage + | otherwise = unsafeDoIO $ withOCBKeyAndCopySt ctx ocb doEnc + where + len = B.length input + doEnc ocbStPtr aesPtr = + B.alloc len $ \o -> + withByteArray input $ \i -> + c_aes_ocb_encrypt (castPtr o) ocbStPtr aesPtr i (fromIntegral len) + +-- | append data to decrypt and append to the OCB context +-- +-- the bytearray needs to be a multiple of the AES block size, unless it's the last call to this function. +-- need to happen after AAD appending, or after initialization if no AAD data. +{-# NOINLINE ocbAppendDecrypt #-} +ocbAppendDecrypt :: ByteArray ba => AES -> AESOCB -> ba -> (ba, AESOCB) +ocbAppendDecrypt ctx ocb input + | B.overCLength (B.length input) = error tooLongMessage + | otherwise = unsafeDoIO $ withOCBKeyAndCopySt ctx ocb doDec + where + len = B.length input + doDec ocbStPtr aesPtr = + B.alloc len $ \o -> + withByteArray input $ \i -> + c_aes_ocb_decrypt (castPtr o) ocbStPtr aesPtr i (fromIntegral len) + +-- | Generate the Tag from OCB context +{-# NOINLINE ocbFinish #-} +ocbFinish :: AES -> AESOCB -> Int -> AuthTag +ocbFinish ctx ocb taglen = AuthTag $ B.take taglen computeTag + where + computeTag = B.allocAndFreeze 16 $ \t -> + withOCBKeyAndCopySt ctx ocb (c_aes_ocb_finish (castPtr t)) >> return () + +ccmGetM :: CCM_M -> Int +ccmGetL :: CCM_L -> Int +ccmGetM m = case m of + CCM_M4 -> 4 + CCM_M6 -> 6 + CCM_M8 -> 8 + CCM_M10 -> 10 + CCM_M12 -> 12 + CCM_M14 -> 14 + CCM_M16 -> 16 + +ccmGetL l = case l of + CCM_L2 -> 2 + CCM_L3 -> 3 + CCM_L4 -> 4 + +-- | initialize a ccm context +{-# NOINLINE ccmInit #-} +ccmInit + :: ByteArrayAccess iv + => AES -> iv -> Int -> CCM_M -> CCM_L -> CryptoFailable AESCCM +ccmInit ctx iv n m l + | 15 - li /= B.length iv = CryptoFailed CryptoError_IvSizeInvalid + | otherwise = unsafeDoIO $ do + sm <- B.alloc sizeCCM $ \ccmStPtr -> + withKeyAndIV ctx iv $ \k v -> + c_aes_ccm_init + (castPtr ccmStPtr) + k + v + (fromIntegral $ B.length iv) + (fromIntegral n) + (fromIntegral mi) + (fromIntegral li) + return $ CryptoPassed (AESCCM sm) + where + mi = ccmGetM m + li = ccmGetL l + +-- | append data which is only going to be authenticated to the CCM context. +-- +-- needs to happen after initialization and before appending encryption/decryption data. +{-# NOINLINE ccmAppendAAD #-} +ccmAppendAAD :: ByteArrayAccess aad => AES -> AESCCM -> aad -> AESCCM +ccmAppendAAD ctx ccm input + | B.overCLength (B.length input) = error tooLongMessage + | otherwise = unsafeDoIO $ snd <$> withCCMKeyAndCopySt ctx ccm doAppend + where + doAppend ccmStPtr aesPtr = + withByteArray input $ \i -> c_aes_ccm_aad ccmStPtr aesPtr i (fromIntegral $ B.length input) + +-- | append data to encrypt and append to the CCM context +-- +-- the bytearray needs to be a multiple of AES block size, unless it's the last call to this function. +-- needs to happen after AAD appending, or after initialization if no AAD data. +{-# NOINLINE ccmEncrypt #-} +ccmEncrypt :: ByteArray ba => AES -> AESCCM -> ba -> (ba, AESCCM) +ccmEncrypt ctx ccm input + | B.overCLength (B.length input) = error tooLongMessage + | otherwise = unsafeDoIO $ withCCMKeyAndCopySt ctx ccm cbcmacAndIv + where + len = B.length input + cbcmacAndIv ccmStPtr aesPtr = + B.alloc len $ \o -> + withByteArray input $ \i -> + c_aes_ccm_encrypt (castPtr o) ccmStPtr aesPtr i (fromIntegral len) + +-- | append data to decrypt and append to the CCM context +-- +-- the bytearray needs to be a multiple of AES block size, unless it's the last call to this function. +-- needs to happen after AAD appending, or after initialization if no AAD data. +{-# NOINLINE ccmDecrypt #-} +ccmDecrypt :: ByteArray ba => AES -> AESCCM -> ba -> (ba, AESCCM) +ccmDecrypt ctx ccm input + | B.overCLength (B.length input) = error tooLongMessage + | otherwise = unsafeDoIO $ withCCMKeyAndCopySt ctx ccm cbcmacAndIv + where + len = B.length input + cbcmacAndIv ccmStPtr aesPtr = + B.alloc len $ \o -> + withByteArray input $ \i -> + c_aes_ccm_decrypt (castPtr o) ccmStPtr aesPtr i (fromIntegral len) + +-- | Generate the Tag from CCM context +{-# NOINLINE ccmFinish #-} +ccmFinish :: AES -> AESCCM -> Int -> AuthTag +ccmFinish ctx ccm taglen = AuthTag $ B.take taglen computeTag + where + computeTag = B.allocAndFreeze 16 $ \t -> + withCCMKeyAndCopySt ctx ccm (c_aes_ccm_finish (castPtr t)) >> return () + +------------------------------------------------------------------------ +foreign import ccall "crypton_aes.h crypton_aes_initkey" + c_aes_init :: Ptr AES -> CString -> CUInt -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_encrypt_ecb" + c_aes_encrypt_ecb :: CString -> Ptr AES -> CString -> CUInt -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_decrypt_ecb" + c_aes_decrypt_ecb :: CString -> Ptr AES -> CString -> CUInt -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_encrypt_cbc" + c_aes_encrypt_cbc + :: CString -> Ptr AES -> Ptr Word8 -> CString -> CUInt -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_decrypt_cbc" + c_aes_decrypt_cbc + :: CString -> Ptr AES -> Ptr Word8 -> CString -> CUInt -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_encrypt_xts" + c_aes_encrypt_xts + :: CString -> Ptr AES -> Ptr AES -> Ptr Word8 -> CUInt -> CString -> CUInt -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_decrypt_xts" + c_aes_decrypt_xts + :: CString -> Ptr AES -> Ptr AES -> Ptr Word8 -> CUInt -> CString -> CUInt -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_encrypt_ctr" + c_aes_encrypt_ctr + :: CString -> Ptr AES -> Ptr Word8 -> CString -> CUInt -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_encrypt_c32" + c_aes_encrypt_c32 + :: CString -> Ptr AES -> Ptr Word8 -> CString -> CUInt -> IO () + +foreign import ccall unsafe "crypton_aes.h crypton_aes_gcm_key_init" + c_aes_gcm_key_init :: Ptr AESGCM -> Ptr AES -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_gcm_full_encrypt" + c_aes_gcm_full_encrypt + :: Ptr Word8 + -> Ptr AESGCM + -> Ptr AES + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> CUInt + -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_gcm_full_decrypt" + c_aes_gcm_full_decrypt + :: Ptr Word8 + -> Ptr AESGCM + -> Ptr AES + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> IO CInt + +foreign import ccall "crypton_aes.h crypton_aes_gcm_full_decrypt_tag" + c_aes_gcm_full_decrypt_tag + :: Ptr Word8 + -> Ptr Word8 + -> Ptr AESGCM + -> Ptr AES + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> CUInt + -> IO () + +foreign import ccall unsafe "crypton_aes.h crypton_aes_gcm_full_decrypt_tag" + c_aes_gcm_full_decrypt_tag_unsafe + :: Ptr Word8 + -> Ptr Word8 + -> Ptr AESGCM + -> Ptr AES + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> CUInt + -> IO () + +foreign import ccall unsafe "crypton_aes.h crypton_aes_gcm_full_encrypt" + c_aes_gcm_full_encrypt_unsafe + :: Ptr Word8 + -> Ptr AESGCM + -> Ptr AES + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> CUInt + -> IO () + +foreign import ccall unsafe "crypton_aes.h crypton_aes_gcm_full_decrypt" + c_aes_gcm_full_decrypt_unsafe + :: Ptr Word8 + -> Ptr AESGCM + -> Ptr AES + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> IO CInt + +foreign import ccall "crypton_aes.h crypton_aes_gcm_full_encrypt_mask" + c_aes_gcm_full_encrypt_mask + :: Ptr Word8 + -> Ptr AESGCM + -> Ptr AES + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> CUInt + -> Ptr AES + -> CUInt + -> Ptr Word8 + -> IO () + +foreign import ccall unsafe "crypton_aes.h crypton_aes_gcm_full_encrypt_mask" + c_aes_gcm_full_encrypt_mask_unsafe + :: Ptr Word8 + -> Ptr AESGCM + -> Ptr AES + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> CUInt + -> Ptr AES + -> CUInt + -> Ptr Word8 + -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_gcm_init" + c_aes_gcm_init :: Ptr AESGCM -> Ptr AES -> Ptr Word8 -> CUInt -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_gcm_aad" + c_aes_gcm_aad :: Ptr AESGCM -> CString -> CUInt -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_gcm_encrypt" + c_aes_gcm_encrypt + :: CString -> Ptr AESGCM -> Ptr AES -> CString -> CUInt -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_gcm_decrypt" + c_aes_gcm_decrypt + :: CString -> Ptr AESGCM -> Ptr AES -> CString -> CUInt -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_gcm_finish" + c_aes_gcm_finish :: CString -> Ptr AESGCM -> Ptr AES -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_ocb_init" + c_aes_ocb_init + :: Ptr AESOCB -> Ptr AES -> Ptr Word8 -> CUInt -> CUInt -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_ocb_aad" + c_aes_ocb_aad :: Ptr AESOCB -> Ptr AES -> CString -> CUInt -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_ocb_encrypt" + c_aes_ocb_encrypt + :: CString -> Ptr AESOCB -> Ptr AES -> CString -> CUInt -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_ocb_decrypt" + c_aes_ocb_decrypt + :: CString -> Ptr AESOCB -> Ptr AES -> CString -> CUInt -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_ocb_finish" + c_aes_ocb_finish :: CString -> Ptr AESOCB -> Ptr AES -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_ccm_init" + c_aes_ccm_init + :: Ptr AESCCM -> Ptr AES -> Ptr Word8 -> CUInt -> CUInt -> CInt -> CInt -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_ccm_aad" + c_aes_ccm_aad :: Ptr AESCCM -> Ptr AES -> CString -> CUInt -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_ccm_encrypt" + c_aes_ccm_encrypt + :: CString -> Ptr AESCCM -> Ptr AES -> CString -> CUInt -> IO () + +foreign import ccall "crypton_aes.h crypton_aes_ccm_decrypt" + c_aes_ccm_decrypt + :: CString -> Ptr AESCCM -> Ptr AES -> CString -> CUInt -> IO () foreign import ccall "crypton_aes.h crypton_aes_ccm_finish" c_aes_ccm_finish :: CString -> Ptr AESCCM -> Ptr AES -> IO () diff --git a/Crypto/Cipher/AESGCMSIV.hs b/Crypto/Cipher/AESGCMSIV.hs --- a/Crypto/Cipher/AESGCMSIV.hs +++ b/Crypto/Cipher/AESGCMSIV.hs @@ -1,3 +1,6 @@ +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + -- | -- Module : Crypto.Cipher.AESGCMSIV -- License : BSD-style @@ -16,28 +19,27 @@ -- -- The specification allows inputs up to 2^36 bytes but this implementation -- requires AAD and plaintext/ciphertext to be both smaller than 2^32 bytes. -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -module Crypto.Cipher.AESGCMSIV - ( Nonce - , nonce - , generateNonce - , encrypt - , decrypt - ) where +module Crypto.Cipher.AESGCMSIV ( + Nonce, + nonce, + generateNonce, + encrypt, + decrypt, +) where import Data.Bits +import Data.Maybe import Data.Word -import Foreign.C.Types import Foreign.C.String +import Foreign.C.Types import Foreign.Ptr (Ptr, plusPtr) import Foreign.Storable (peekElemOff, poke, pokeElemOff) -import Data.ByteArray +import Data.ByteArray (ByteArray, ByteArrayAccess, Bytes, ScrubbedBytes) import qualified Data.ByteArray as B -import Data.Memory.Endian (toLE) -import Data.Memory.PtrMethods (memXor) +import Data.Memory.Endian (toLE) +import Data.Memory.PtrMethods (memXor) import Crypto.Cipher.AES.Primitive import Crypto.Cipher.Types @@ -45,7 +47,6 @@ import Crypto.Internal.Compat (unsafeDoIO) import Crypto.Random - -- 12-byte nonces -- | Nonce value for AES-GCM-SIV, always 12 bytes. @@ -55,26 +56,27 @@ nonce :: ByteArrayAccess iv => iv -> CryptoFailable Nonce nonce iv | B.length iv == 12 = CryptoPassed (Nonce $ B.convert iv) - | otherwise = CryptoFailed CryptoError_IvSizeInvalid + | otherwise = CryptoFailed CryptoError_IvSizeInvalid -- | Generate a random nonce for use with AES-GCM-SIV. generateNonce :: MonadRandom m => m Nonce generateNonce = Nonce <$> getRandomBytes 12 - -- POLYVAL (mutable context) newtype Polyval = Polyval Bytes polyvalInit :: ScrubbedBytes -> IO Polyval polyvalInit h = Polyval <$> doInit - where doInit = B.alloc 272 $ \pctx -> B.withByteArray h $ \ph -> - c_aes_polyval_init pctx ph + where + doInit = B.alloc 272 $ \pctx -> B.withByteArray h $ \ph -> + c_aes_polyval_init pctx ph polyvalUpdate :: ByteArrayAccess ba => Polyval -> ba -> IO () polyvalUpdate (Polyval ctx) bs = B.withByteArray ctx $ \pctx -> B.withByteArray bs $ \pbs -> c_aes_polyval_update pctx pbs sz - where sz = fromIntegral (B.length bs) + where + sz = fromIntegral (B.length bs) polyvalFinalize :: Polyval -> IO ScrubbedBytes polyvalFinalize (Polyval ctx) = B.alloc 16 $ \dst -> @@ -89,35 +91,35 @@ foreign import ccall unsafe "crypton_aes.h crypton_aes_polyval_finalize" c_aes_polyval_finalize :: Ptr Polyval -> CString -> IO () - -- Key Generation le32iv :: Word32 -> Nonce -> Bytes le32iv n (Nonce iv) = B.allocAndFreeze 16 $ \ptr -> do poke ptr (toLE n) - copyByteArrayToPtr iv (ptr `plusPtr` 4) + B.copyByteArrayToPtr iv (ptr `plusPtr` 4) deriveKeys :: BlockCipher128 aes => aes -> Nonce -> (ScrubbedBytes, AES) deriveKeys aes iv = case cipherKeySize aes of - KeySizeFixed sz | sz `mod` 8 == 0 -> - let mak = buildKey [0 .. 1] - key = buildKey [2 .. fromIntegral (sz `div` 8) + 1] - mek = throwCryptoError (cipherInit key) - in (mak, mek) + KeySizeFixed sz + | sz `mod` 8 == 0 -> + let mak = buildKey [0 .. 1] + key = buildKey [2 .. fromIntegral (sz `div` 8) + 1] + mek = throwCryptoError (cipherInit key) + in (mak, mek) _ -> error "AESGCMSIV: invalid cipher" where - idx n = ecbEncrypt aes (le32iv n iv) `takeView` 8 + idx n = ecbEncrypt aes (le32iv n iv) `B.takeView` 8 buildKey = B.concat . map idx - -- Encryption and decryption lengthInvalid :: ByteArrayAccess ba => ba -> Bool lengthInvalid bs | finiteBitSize len > 32 = len >= 1 `unsafeShiftL` 32 - | otherwise = False - where len = B.length bs + | otherwise = False + where + len = B.length bs -- | AEAD encryption with the specified key and nonce. The key must be given -- as an initialized 'Crypto.Cipher.AES.AES128' or 'Crypto.Cipher.AES.AES256' @@ -125,8 +127,9 @@ -- -- Lengths of additional data and plaintext must be less than 2^32 bytes, -- otherwise an exception is thrown. -encrypt :: (BlockCipher128 aes, ByteArrayAccess aad, ByteArray ba) - => aes -> Nonce -> aad -> ba -> (AuthTag, ba) +encrypt + :: (BlockCipher128 aes, ByteArrayAccess aad, ByteArray ba) + => aes -> Nonce -> aad -> ba -> (AuthTag, ba) encrypt aes iv aad plaintext | lengthInvalid aad = error "AESGCMSIV: aad is too large" | lengthInvalid plaintext = error "AESGCMSIV: plaintext is too large" @@ -143,12 +146,13 @@ -- -- Lengths of additional data and ciphertext must be less than 2^32 bytes, -- otherwise an exception is thrown. -decrypt :: (BlockCipher128 aes, ByteArrayAccess aad, ByteArray ba) - => aes -> Nonce -> aad -> ba -> AuthTag -> Maybe ba +decrypt + :: (BlockCipher128 aes, ByteArrayAccess aad, ByteArray ba) + => aes -> Nonce -> aad -> ba -> AuthTag -> Maybe ba decrypt aes iv aad ciphertext (AuthTag tag) | lengthInvalid aad = error "AESGCMSIV: aad is too large" | lengthInvalid ciphertext = error "AESGCMSIV: ciphertext is too large" - | tag `constEq` buildTag mek ss iv = Just plaintext + | tag `B.constEq` buildTag mek ss iv = Just plaintext | otherwise = Nothing where (mak, mek) = deriveKeys aes iv @@ -156,18 +160,19 @@ plaintext = combineC32 mek (transformTag tag) ciphertext -- Calculate S_s = POLYVAL(mak, X_1, X_2, ...). -getSs :: (ByteArrayAccess aad, ByteArrayAccess ba) - => ScrubbedBytes -> aad -> ba -> ScrubbedBytes +getSs + :: (ByteArrayAccess aad, ByteArrayAccess ba) + => ScrubbedBytes -> aad -> ba -> ScrubbedBytes getSs mak aad plaintext = unsafeDoIO $ do ctx <- polyvalInit mak polyvalUpdate ctx aad polyvalUpdate ctx plaintext - polyvalUpdate ctx (lb :: Bytes) -- the "length block" + polyvalUpdate ctx (lb :: Bytes) -- the "length block" polyvalFinalize ctx where lb = B.allocAndFreeze 16 $ \ptr -> do - pokeElemOff ptr 0 (toLE64 $ B.length aad) - pokeElemOff ptr 1 (toLE64 $ B.length plaintext) + pokeElemOff ptr 0 (toLE64 $ B.length aad) + pokeElemOff ptr 1 (toLE64 $ B.length plaintext) toLE64 x = toLE (fromIntegral x * 8 :: Word64) -- XOR the first 12 bytes of S_s with the nonce and clear the most significant @@ -175,10 +180,10 @@ tagInput :: ScrubbedBytes -> Nonce -> Bytes tagInput ss (Nonce iv) = B.copyAndFreeze ss $ \ptr -> - B.withByteArray iv $ \ivPtr -> do - memXor ptr ptr ivPtr 12 - b <- peekElemOff ptr 15 - pokeElemOff ptr 15 (b .&. (0x7f :: Word8)) + B.withByteArray iv $ \ivPtr -> do + memXor ptr ptr ivPtr 12 + b <- peekElemOff ptr 15 + pokeElemOff ptr 15 (b .&. (0x7f :: Word8)) -- Encrypt the result with AES using the message-encryption key to produce the -- tag. @@ -190,4 +195,5 @@ transformTag :: Bytes -> IV AES transformTag tag = toIV $ B.copyAndFreeze tag $ \ptr -> peekElemOff ptr 15 >>= pokeElemOff ptr 15 . (.|. (0x80 :: Word8)) - where toIV bs = let Just iv = makeIV (bs :: Bytes) in iv + where + toIV bs = fromJust $ makeIV (bs :: Bytes) diff --git a/Crypto/Cipher/Blowfish.hs b/Crypto/Cipher/Blowfish.hs --- a/Crypto/Cipher/Blowfish.hs +++ b/Crypto/Cipher/Blowfish.hs @@ -1,23 +1,23 @@ +{-# LANGUAGE CPP #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + -- | -- Module : Crypto.Cipher.Blowfish -- License : BSD-style -- Maintainer : Vincent Hanquez -- Stability : stable -- Portability : good --- -{-# LANGUAGE CPP #-} -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -module Crypto.Cipher.Blowfish - ( Blowfish - , Blowfish64 - , Blowfish128 - , Blowfish256 - , Blowfish448 - ) where +module Crypto.Cipher.Blowfish ( + Blowfish, + Blowfish64, + Blowfish128, + Blowfish256, + Blowfish448, +) where -import Crypto.Internal.Imports -import Crypto.Cipher.Types import Crypto.Cipher.Blowfish.Primitive +import Crypto.Cipher.Types +import Crypto.Internal.Imports -- | variable keyed blowfish state newtype Blowfish = Blowfish Context @@ -40,9 +40,9 @@ deriving (NFData) instance Cipher Blowfish where - cipherName _ = "blowfish" + cipherName _ = "blowfish" cipherKeySize _ = KeySizeRange 6 56 - cipherInit k = Blowfish `fmap` initBlowfish k + cipherInit k = Blowfish `fmap` initBlowfish k instance BlockCipher Blowfish where blockSize _ = 8 diff --git a/Crypto/Cipher/Blowfish/Box.hs b/Crypto/Cipher/Blowfish/Box.hs deleted file mode 100644 --- a/Crypto/Cipher/Blowfish/Box.hs +++ /dev/null @@ -1,296 +0,0 @@ --- | --- Module : Crypto.Cipher.Blowfish.Box --- License : BSD-style --- Stability : experimental --- Portability : Good -{-# LANGUAGE MagicHash #-} -module Crypto.Cipher.Blowfish.Box - ( KeySchedule(..) - , createKeySchedule - , copyKeySchedule - ) where - -import Crypto.Internal.WordArray (MutableArray32, - mutableArray32FromAddrBE, - mutableArrayRead32, - mutableArrayWrite32) - -newtype KeySchedule = KeySchedule MutableArray32 - --- | Copy the state of one key schedule into the other. --- The first parameter is the destination and the second the source. -copyKeySchedule :: KeySchedule -> KeySchedule -> IO () -copyKeySchedule (KeySchedule dst) (KeySchedule src) = loop 0 - where - loop 1042 = return () - loop i = do - w32 <-mutableArrayRead32 src i - mutableArrayWrite32 dst i w32 - loop (i + 1) - --- | Create a key schedule mutable array of the pbox followed by --- all the sboxes. -createKeySchedule :: IO KeySchedule -createKeySchedule = KeySchedule `fmap` mutableArray32FromAddrBE 1042 "\ - \\x24\x3f\x6a\x88\x85\xa3\x08\xd3\x13\x19\x8a\x2e\x03\x70\x73\x44\ - \\xa4\x09\x38\x22\x29\x9f\x31\xd0\x08\x2e\xfa\x98\xec\x4e\x6c\x89\ - \\x45\x28\x21\xe6\x38\xd0\x13\x77\xbe\x54\x66\xcf\x34\xe9\x0c\x6c\ - \\xc0\xac\x29\xb7\xc9\x7c\x50\xdd\x3f\x84\xd5\xb5\xb5\x47\x09\x17\ - \\x92\x16\xd5\xd9\x89\x79\xfb\x1b\ - \\xd1\x31\x0b\xa6\x98\xdf\xb5\xac\x2f\xfd\x72\xdb\xd0\x1a\xdf\xb7\ - \\xb8\xe1\xaf\xed\x6a\x26\x7e\x96\xba\x7c\x90\x45\xf1\x2c\x7f\x99\ - \\x24\xa1\x99\x47\xb3\x91\x6c\xf7\x08\x01\xf2\xe2\x85\x8e\xfc\x16\ - \\x63\x69\x20\xd8\x71\x57\x4e\x69\xa4\x58\xfe\xa3\xf4\x93\x3d\x7e\ - \\x0d\x95\x74\x8f\x72\x8e\xb6\x58\x71\x8b\xcd\x58\x82\x15\x4a\xee\ - \\x7b\x54\xa4\x1d\xc2\x5a\x59\xb5\x9c\x30\xd5\x39\x2a\xf2\x60\x13\ - 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\\xde\x96\x62\x92\x81\xb9\x49\xd0\x4c\x50\x90\x1b\x71\xc6\x56\x14\ - \\xe6\xc6\xc7\xbd\x32\x7a\x14\x0a\x45\xe1\xd0\x06\xc3\xf2\x7b\x9a\ - \\xc9\xaa\x53\xfd\x62\xa8\x0f\x00\xbb\x25\xbf\xe2\x35\xbd\xd2\xf6\ - \\x71\x12\x69\x05\xb2\x04\x02\x22\xb6\xcb\xcf\x7c\xcd\x76\x9c\x2b\ - \\x53\x11\x3e\xc0\x16\x40\xe3\xd3\x38\xab\xbd\x60\x25\x47\xad\xf0\ - \\xba\x38\x20\x9c\xf7\x46\xce\x76\x77\xaf\xa1\xc5\x20\x75\x60\x60\ - \\x85\xcb\xfe\x4e\x8a\xe8\x8d\xd8\x7a\xaa\xf9\xb0\x4c\xf9\xaa\x7e\ - \\x19\x48\xc2\x5c\x02\xfb\x8a\x8c\x01\xc3\x6a\xe4\xd6\xeb\xe1\xf9\ - \\x90\xd4\xf8\x69\xa6\x5c\xde\xa0\x3f\x09\x25\x2d\xc2\x08\xe6\x9f\ - \\xb7\x4e\x61\x32\xce\x77\xe2\x5b\x57\x8f\xdf\xe3\x3a\xc3\x72\xe6\ - \"# diff --git a/Crypto/Cipher/Blowfish/Primitive.hs b/Crypto/Cipher/Blowfish/Primitive.hs --- a/Crypto/Cipher/Blowfish/Primitive.hs +++ b/Crypto/Cipher/Blowfish/Primitive.hs @@ -1,9 +1,3 @@ --- | --- Module : Crypto.Cipher.Blowfish.Primitive --- License : BSD-style --- Stability : experimental --- Portability : Good - -- Rewritten by Vincent Hanquez (c) 2015 -- Lars Petersen (c) 2018 -- @@ -12,247 +6,145 @@ -- based on: BlowfishAux.hs (C) 2002 HardCore SoftWare, Doug Hoyte -- (as found in Crypto-4.2.4) {-# LANGUAGE BangPatterns #-} -module Crypto.Cipher.Blowfish.Primitive - ( Context - , initBlowfish - , encrypt - , decrypt - , KeySchedule - , createKeySchedule - , freezeKeySchedule - , expandKey - , expandKeyWithSalt - , cipherBlockMutable - ) where -import Control.Monad (when) -import Data.Bits -import Data.Memory.Endian -import Data.Word +-- | +-- Module : Crypto.Cipher.Blowfish.Primitive +-- License : BSD-style +-- Stability : experimental +-- Portability : Good +-- +-- The cipher itself is in C, as is the key setup bcrypt wraps around it: +-- what the schedule costs is the whole of what bcrypt is for, and in Haskell +-- it cost about twice what the usual implementations do. +module Crypto.Cipher.Blowfish.Primitive ( + Context, + initBlowfish, + encrypt, + decrypt, + bcryptHash, + bcryptPbkdfHash, +) where -import Crypto.Cipher.Blowfish.Box -import Crypto.Error -import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess) -import qualified Crypto.Internal.ByteArray as B -import Crypto.Internal.Compat -import Crypto.Internal.Imports -import Crypto.Internal.WordArray +import Crypto.Error +import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess, ScrubbedBytes) +import qualified Crypto.Internal.ByteArray as B +import Crypto.Internal.Compat +import Crypto.Internal.Imports +import Foreign.C.Types (CInt (..)) +import Foreign.Ptr (Ptr) -newtype Context = Context Array32 +-- | The key schedule: the P array and the four S boxes, as the C keeps them. +newtype Context = Context ScrubbedBytes instance NFData Context where rnf a = a `seq` () +-- | How many bytes of schedule the C wants: eighteen words and four boxes of +-- two hundred and fifty-six. +contextSize :: Int +contextSize = (18 + 4 * 256) * 4 + -- | Initialize a new Blowfish context from a key. -- -- key needs to be between 0 and 448 bits. initBlowfish :: ByteArrayAccess key => key -> CryptoFailable Context initBlowfish key | B.length key > (448 `div` 8) = CryptoFailed CryptoError_KeySizeInvalid - | otherwise = CryptoPassed $ unsafeDoIO $ do - ks <- createKeySchedule - expandKey ks key - freezeKeySchedule ks - --- | Get an immutable Blowfish context by freezing a mutable key schedule. -freezeKeySchedule :: KeySchedule -> IO Context -freezeKeySchedule (KeySchedule ma) = Context `fmap` mutableArray32Freeze ma - -expandKey :: (ByteArrayAccess key) => KeySchedule -> key -> IO () -expandKey ks@(KeySchedule ma) key = do - when (B.length key > 0) $ iterKeyStream key 0 0 $ \i l r a0 a1 cont-> do - mutableArrayWriteXor32 ma i l - mutableArrayWriteXor32 ma (i + 1) r - when (i + 2 < 18) (cont a0 a1) - loop 0 0 0 - where - loop i l r = do - n <- cipherBlockMutable ks (fromIntegral l `shiftL` 32 .|. fromIntegral r) - let nl = fromIntegral (n `shiftR` 32) - nr = fromIntegral (n .&. 0xffffffff) - mutableArrayWrite32 ma i nl - mutableArrayWrite32 ma (i + 1) nr - when (i < 18 + 1024) (loop (i + 2) nl nr) - -expandKeyWithSalt :: (ByteArrayAccess key, ByteArrayAccess salt) - => KeySchedule - -> key - -> salt - -> IO () -expandKeyWithSalt ks key salt - | B.length salt == 16 = expandKeyWithSalt128 ks key (fromBE $ B.toW64BE salt 0) (fromBE $ B.toW64BE salt 8) - | otherwise = expandKeyWithSaltAny ks key salt - -expandKeyWithSaltAny :: (ByteArrayAccess key, ByteArrayAccess salt) - => KeySchedule -- ^ The key schedule - -> key -- ^ The key - -> salt -- ^ The salt - -> IO () -expandKeyWithSaltAny ks@(KeySchedule ma) key salt = do - when (B.length key > 0) $ iterKeyStream key 0 0 $ \i l r a0 a1 cont-> do - mutableArrayWriteXor32 ma i l - mutableArrayWriteXor32 ma (i + 1) r - when (i + 2 < 18) (cont a0 a1) - -- Go through the entire key schedule overwriting the P-Array and S-Boxes - when (B.length salt > 0) $ iterKeyStream salt 0 0 $ \i l r a0 a1 cont-> do - let l' = xor l a0 - let r' = xor r a1 - n <- cipherBlockMutable ks (fromIntegral l' `shiftL` 32 .|. fromIntegral r') - let nl = fromIntegral (n `shiftR` 32) - nr = fromIntegral (n .&. 0xffffffff) - mutableArrayWrite32 ma i nl - mutableArrayWrite32 ma (i + 1) nr - when (i + 2 < 18 + 1024) (cont nl nr) - -expandKeyWithSalt128 :: ByteArrayAccess ba - => KeySchedule -- ^ The key schedule - -> ba -- ^ The key - -> Word64 -- ^ First word of the salt - -> Word64 -- ^ Second word of the salt - -> IO () -expandKeyWithSalt128 ks@(KeySchedule ma) key salt1 salt2 = do - when (B.length key > 0) $ iterKeyStream key 0 0 $ \i l r a0 a1 cont-> do - mutableArrayWriteXor32 ma i l - mutableArrayWriteXor32 ma (i + 1) r - when (i + 2 < 18) (cont a0 a1) - -- Go through the entire key schedule overwriting the P-Array and S-Boxes - loop 0 salt1 salt1 salt2 - where - loop i input slt1 slt2 - | i == 1042 = return () - | otherwise = do - n <- cipherBlockMutable ks input - let nl = fromIntegral (n `shiftR` 32) - nr = fromIntegral (n .&. 0xffffffff) - mutableArrayWrite32 ma i nl - mutableArrayWrite32 ma (i+1) nr - loop (i+2) (n `xor` slt2) slt2 slt1 + | otherwise = CryptoPassed $ + unsafeDoIO $ + fmap Context $ + B.alloc contextSize $ \ctx -> + B.withByteArray key $ \k -> + c_blowfish_init ctx k (fromIntegral (B.length key)) -- | Encrypt blocks -- -- Input need to be a multiple of 8 bytes encrypt :: ByteArray ba => Context -> ba -> ba -encrypt ctx ba - | B.length ba == 0 = B.empty - | B.length ba `mod` 8 /= 0 = error "invalid data length" - | otherwise = B.mapAsWord64 (cipherBlock ctx False) ba +encrypt = through c_blowfish_encrypt -- | Decrypt blocks -- -- Input need to be a multiple of 8 bytes decrypt :: ByteArray ba => Context -> ba -> ba -decrypt ctx ba - | B.length ba == 0 = B.empty - | B.length ba `mod` 8 /= 0 = error "invalid data length" - | otherwise = B.mapAsWord64 (cipherBlock ctx True) ba +decrypt = through c_blowfish_decrypt --- | Encrypt or decrypt a single block of 64 bits. --- --- The inverse argument decides whether to encrypt or decrypt. -cipherBlock :: Context -> Bool -> Word64 -> Word64 -cipherBlock (Context ar) inverse input = doRound input 0 - where - -- | Transform the input over 16 rounds - doRound :: Word64 -> Int -> Word64 - doRound !i roundIndex - | roundIndex == 16 = - let final = (fromIntegral (p 16) `shiftL` 32) .|. fromIntegral (p 17) - in rotateL (i `xor` final) 32 - | otherwise = - let newr = fromIntegral (i `shiftR` 32) `xor` p roundIndex - newi = ((i `shiftL` 32) `xor` f newr) .|. fromIntegral newr - in doRound newi (roundIndex+1) +through + :: ByteArray ba + => (Ptr Word8 -> Ptr Word8 -> Ptr Word8 -> Word32 -> IO ()) + -> Context + -> ba + -> ba +through f (Context ctx) input + | len `mod` 8 /= 0 = + error "Crypto.Cipher.Blowfish: input length must be a multiple of 8" + | otherwise = unsafeDoIO $ + B.alloc len $ \out -> + B.withByteArray ctx $ \c -> + B.withByteArray input $ \i -> f c out i (fromIntegral len) + where + len = B.length input - -- | The Blowfish Feistel function F - f :: Word32 -> Word64 - f t = let a = s0 (0xff .&. (t `shiftR` 24)) - b = s1 (0xff .&. (t `shiftR` 16)) - c = s2 (0xff .&. (t `shiftR` 8)) - d = s3 (0xff .&. t) - in fromIntegral (((a + b) `xor` c) + d) `shiftL` 32 +-- | What bcrypt does with Blowfish: the key setup that costs what the cost +-- says, and then the sixty-four encryptions. The answer is 24 bytes, of +-- which bcrypt keeps 23. +-- +-- The salt has to be 16 bytes and the key 1 to 73, which is a password of at +-- most 72 with the zero byte the original implementation appends. 'Nothing' +-- means it was given something else. +bcryptHash + :: (ByteArrayAccess salt, ByteArrayAccess key, ByteArray output) + => Int + -- ^ the cost, between 4 and 31 + -> salt + -> key + -> Maybe output +bcryptHash cost salt key + | cost < 4 || cost > 31 = Nothing + | B.length salt /= 16 = Nothing + | B.length key < 1 || B.length key > 73 = Nothing + | otherwise = unsafeDoIO $ do + (r, out) <- B.allocRet 24 $ \o -> + B.withByteArray salt $ \s -> + B.withByteArray key $ \k -> + c_bcrypt o (fromIntegral cost) s k (fromIntegral (B.length key)) + return $ if r == 0 then Just out else Nothing - -- | S-Box arrays, each containing 256 32-bit words - -- The first 18 words contain the P-Array of subkeys - s0, s1, s2, s3 :: Word32 -> Word32 - s0 i = arrayRead32 ar (fromIntegral i + 18) - s1 i = arrayRead32 ar (fromIntegral i + 274) - s2 i = arrayRead32 ar (fromIntegral i + 530) - s3 i = arrayRead32 ar (fromIntegral i + 786) - p :: Int -> Word32 - p i | inverse = arrayRead32 ar (17 - i) - | otherwise = arrayRead32 ar i +foreign import ccall unsafe "crypton_blowfish_init" + c_blowfish_init :: Ptr Word8 -> Ptr Word8 -> Word32 -> IO () --- | Blowfish encrypt a Word using the current state of the key schedule -cipherBlockMutable :: KeySchedule -> Word64 -> IO Word64 -cipherBlockMutable (KeySchedule ma) input = doRound input 0 - where - -- | Transform the input over 16 rounds - doRound !i roundIndex - | roundIndex == 16 = do - pVal1 <- mutableArrayRead32 ma 16 - pVal2 <- mutableArrayRead32 ma 17 - let final = (fromIntegral pVal1 `shiftL` 32) .|. fromIntegral pVal2 - return $ rotateL (i `xor` final) 32 - | otherwise = do - pVal <- mutableArrayRead32 ma roundIndex - let newr = fromIntegral (i `shiftR` 32) `xor` pVal - newr' <- f newr - let newi = ((i `shiftL` 32) `xor` newr') .|. fromIntegral newr - doRound newi (roundIndex+1) +foreign import ccall unsafe "crypton_blowfish_encrypt" + c_blowfish_encrypt :: Ptr Word8 -> Ptr Word8 -> Ptr Word8 -> Word32 -> IO () - -- | The Blowfish Feistel function F - f :: Word32 -> IO Word64 - f t = do - a <- s0 (0xff .&. (t `shiftR` 24)) - b <- s1 (0xff .&. (t `shiftR` 16)) - c <- s2 (0xff .&. (t `shiftR` 8)) - d <- s3 (0xff .&. t) - return (fromIntegral (((a + b) `xor` c) + d) `shiftL` 32) +foreign import ccall unsafe "crypton_blowfish_decrypt" + c_blowfish_decrypt :: Ptr Word8 -> Ptr Word8 -> Ptr Word8 -> Word32 -> IO () - -- | S-Box arrays, each containing 256 32-bit words - -- The first 18 words contain the P-Array of subkeys - s0, s1, s2, s3 :: Word32 -> IO Word32 - s0 i = mutableArrayRead32 ma (fromIntegral i + 18) - s1 i = mutableArrayRead32 ma (fromIntegral i + 274) - s2 i = mutableArrayRead32 ma (fromIntegral i + 530) - s3 i = mutableArrayRead32 ma (fromIntegral i + 786) +-- the work is what the cost says, so this one may take a while: it is a safe +-- call, which lets the other capabilities carry on while it does +foreign import ccall safe "crypton_bcrypt" + c_bcrypt :: Ptr Word8 -> Word32 -> Ptr Word8 -> Ptr Word8 -> Word32 -> IO CInt -iterKeyStream :: (ByteArrayAccess x) - => x - -> Word32 - -> Word32 - -> (Int -> Word32 -> Word32 -> Word32 -> Word32 -> (Word32 -> Word32 -> IO ()) -> IO ()) +-- | What bcrypt_pbkdf does with Blowfish: the same key setup sixty-four times +-- over, and then the four blocks of its own magic. Writes 32 bytes where it +-- is pointed, which is what the caller of this one wants. +bcryptPbkdfHash + :: (ByteArrayAccess pass, ByteArrayAccess salt) + => pass + -> salt + -> Ptr Word8 -> IO () -iterKeyStream x a0 a1 g = f 0 0 a0 a1 - where - len = B.length x - -- Avoiding the modulo operation when interating over the ring - -- buffer is assumed to be more efficient here. All other - -- implementations do this, too. The branch prediction shall prefer - -- the branch with the increment. - n j = if j + 1 >= len then 0 else j + 1 - f i j0 b0 b1 = g i l r b0 b1 (f (i + 2) j8) - where - j1 = n j0 - j2 = n j1 - j3 = n j2 - j4 = n j3 - j5 = n j4 - j6 = n j5 - j7 = n j6 - j8 = n j7 - x0 = fromIntegral (B.index x j0) - x1 = fromIntegral (B.index x j1) - x2 = fromIntegral (B.index x j2) - x3 = fromIntegral (B.index x j3) - x4 = fromIntegral (B.index x j4) - x5 = fromIntegral (B.index x j5) - x6 = fromIntegral (B.index x j6) - x7 = fromIntegral (B.index x j7) - l = shiftL x0 24 .|. shiftL x1 16 .|. shiftL x2 8 .|. x3 - r = shiftL x4 24 .|. shiftL x5 16 .|. shiftL x6 8 .|. x7 -{-# INLINE iterKeyStream #-} --- Benchmarking shows that GHC considers this function too big to inline --- although forcing inlining causes an actual improvement. --- It is assumed that all function calls (especially the continuation) --- collapse into a tight loop after inlining. +bcryptPbkdfHash pass salt out = + B.withByteArray pass $ \p -> + B.withByteArray salt $ \s -> do + _ <- + c_bcrypt_pbkdf_hash + out + p + (fromIntegral (B.length pass)) + s + (fromIntegral (B.length salt)) + return () + +foreign import ccall safe "crypton_bcrypt_pbkdf_hash" + c_bcrypt_pbkdf_hash + :: Ptr Word8 -> Ptr Word8 -> Word32 -> Ptr Word8 -> Word32 -> IO CInt diff --git a/Crypto/Cipher/CAST5.hs b/Crypto/Cipher/CAST5.hs --- a/Crypto/Cipher/CAST5.hs +++ b/Crypto/Cipher/CAST5.hs @@ -4,15 +4,14 @@ -- Maintainer : Olivier Chéron -- Stability : stable -- Portability : good --- -module Crypto.Cipher.CAST5 - ( CAST5 - ) where +module Crypto.Cipher.CAST5 ( + CAST5, +) where -import Crypto.Error -import Crypto.Cipher.Types -import Crypto.Cipher.CAST5.Primitive -import Crypto.Internal.ByteArray (ByteArrayAccess) +import Crypto.Cipher.CAST5.Primitive +import Crypto.Cipher.Types +import Crypto.Error +import Crypto.Internal.ByteArray (ByteArrayAccess) import qualified Crypto.Internal.ByteArray as B -- | CAST5 block cipher (also known as CAST-128). Key is between @@ -20,9 +19,9 @@ newtype CAST5 = CAST5 Key instance Cipher CAST5 where - cipherName _ = "CAST5" + cipherName _ = "CAST5" cipherKeySize _ = KeySizeRange 5 16 - cipherInit = initCAST5 + cipherInit = initCAST5 instance BlockCipher CAST5 where blockSize _ = 8 @@ -31,12 +30,12 @@ initCAST5 :: ByteArrayAccess key => key -> CryptoFailable CAST5 initCAST5 bs - | len < 5 = CryptoFailed CryptoError_KeySizeInvalid - | len < 16 = CryptoPassed (CAST5 $ buildKey short padded) + | len < 5 = CryptoFailed CryptoError_KeySizeInvalid + | len < 16 = CryptoPassed (CAST5 $ buildKey short padded) | len == 16 = CryptoPassed (CAST5 $ buildKey False bs) | otherwise = CryptoFailed CryptoError_KeySizeInvalid where - len = B.length bs + len = B.length bs short = len <= 10 padded :: B.Bytes diff --git a/Crypto/Cipher/CAST5/Primitive.hs b/Crypto/Cipher/CAST5/Primitive.hs --- a/Crypto/Cipher/CAST5/Primitive.hs +++ b/Crypto/Cipher/CAST5/Primitive.hs @@ -1,21 +1,20 @@ {-# LANGUAGE MagicHash #-} ----------------------------------------------------------------------------- + +----------------------------------------------------------------------------- + -- | -- Module : Crypto.Cipher.CAST5.Primitive -- License : BSD-style -- -- Haskell implementation of the CAST-128 Encryption Algorithm --- ------------------------------------------------------------------------------ - - -module Crypto.Cipher.CAST5.Primitive - ( encrypt - , decrypt - , Key() - , buildKey - ) where +module Crypto.Cipher.CAST5.Primitive ( + encrypt, + decrypt, + Key (), + buildKey, +) where import Control.Monad (void, (>=>)) @@ -23,23 +22,28 @@ import Data.Memory.Endian import Data.Word -import Crypto.Internal.ByteArray (ByteArrayAccess) +import Crypto.Internal.ByteArray (ByteArrayAccess) import qualified Crypto.Internal.ByteArray as B -import Crypto.Internal.WordArray - +import Crypto.Internal.WordArray -- Data Types -data P = P {-# UNPACK #-} !Word32 -- left word - {-# UNPACK #-} !Word32 -- right word +data P + = P + {-# UNPACK #-} !Word32 -- left word + {-# UNPACK #-} !Word32 -- right word -data Q = Q {-# UNPACK #-} !Word32 {-# UNPACK #-} !Word32 - {-# UNPACK #-} !Word32 {-# UNPACK #-} !Word32 +data Q + = Q + {-# UNPACK #-} !Word32 + {-# UNPACK #-} !Word32 + {-# UNPACK #-} !Word32 + {-# UNPACK #-} !Word32 -- | All subkeys for 12 or 16 rounds -data Key = K12 {-# UNPACK #-} !Array32 -- [ km1, kr1, km2, kr2, ..., km12, kr12 ] - | K16 {-# UNPACK #-} !Array32 -- [ km1, kr1, km2, kr2, ..., km16, kr16 ] - +data Key + = K12 {-# UNPACK #-} !Array32 -- [ km1, kr1, km2, kr2, ..., km12, kr12 ] + | K16 {-# UNPACK #-} !Array32 -- [ km1, kr1, km2, kr2, ..., km16, kr16 ] -- Big-endian Transformations @@ -53,10 +57,9 @@ decomp32 x = let a = fromIntegral (x `shiftR` 24) b = fromIntegral (x `shiftR` 16) - c = fromIntegral (x `shiftR` 8) + c = fromIntegral (x `shiftR` 8) d = fromIntegral x - in (a, b, c, d) - + in (a, b, c, d) -- Encryption @@ -67,19 +70,18 @@ cast_enc :: Key -> P -> P cast_enc (K12 a) (P l0 r0) = P r12 r11 where - r1 = type1 a 0 l0 r0 - r2 = type2 a 2 r0 r1 - r3 = type3 a 4 r1 r2 - r4 = type1 a 6 r2 r3 - r5 = type2 a 8 r3 r4 - r6 = type3 a 10 r4 r5 - r7 = type1 a 12 r5 r6 - r8 = type2 a 14 r6 r7 - r9 = type3 a 16 r7 r8 - r10 = type1 a 18 r8 r9 - r11 = type2 a 20 r9 r10 + r1 = type1 a 0 l0 r0 + r2 = type2 a 2 r0 r1 + r3 = type3 a 4 r1 r2 + r4 = type1 a 6 r2 r3 + r5 = type2 a 8 r3 r4 + r6 = type3 a 10 r4 r5 + r7 = type1 a 12 r5 r6 + r8 = type2 a 14 r6 r7 + r9 = type3 a 16 r7 r8 + r10 = type1 a 18 r8 r9 + r11 = type2 a 20 r9 r10 r12 = type3 a 22 r10 r11 - cast_enc (K16 a) p = P r16 r15 where P r12 r11 = cast_enc (K12 a) p @@ -99,18 +101,17 @@ cast_dec (K12 a) (P r12 r11) = P l0 r0 where r10 = type3 a 22 r12 r11 - r9 = type2 a 20 r11 r10 - r8 = type1 a 18 r10 r9 - r7 = type3 a 16 r9 r8 - r6 = type2 a 14 r8 r7 - r5 = type1 a 12 r7 r6 - r4 = type3 a 10 r6 r5 - r3 = type2 a 8 r5 r4 - r2 = type1 a 6 r4 r3 - r1 = type3 a 4 r3 r2 - r0 = type2 a 2 r2 r1 - l0 = type1 a 0 r1 r0 - + r9 = type2 a 20 r11 r10 + r8 = type1 a 18 r10 r9 + r7 = type3 a 16 r9 r8 + r6 = type2 a 14 r8 r7 + r5 = type1 a 12 r7 r6 + r4 = type3 a 10 r6 r5 + r3 = type2 a 8 r5 r4 + r2 = type1 a 6 r4 r3 + r1 = type3 a 4 r3 r2 + r0 = type2 a 2 r2 r1 + l0 = type1 a 0 r1 r0 cast_dec (K16 a) (P r16 r15) = cast_dec (K12 a) (P r12 r11) where r14 = type1 a 30 r16 r15 @@ -118,7 +119,6 @@ r12 = type2 a 26 r14 r13 r11 = type1 a 24 r13 r12 - -- Non-Identical Rounds type1 :: Array32 -> Int -> Word32 -> Word32 -> Word32 @@ -145,14 +145,17 @@ (ja, jb, jc, jd) = decomp32 j in l `xor` (((sbox_s1 ja + sbox_s2 jb) `xor` sbox_s3 jc) - sbox_s4 jd) - -- Key Schedule -- | Precompute "masking" and "rotation" subkeys -buildKey :: ByteArrayAccess key - => Bool -- ^ @True@ for short keys that only need 12 rounds - -> key -- ^ Input key padded to 16 bytes - -> Key -- ^ Output data structure +buildKey + :: ByteArrayAccess key + => Bool + -- ^ @True@ for short keys that only need 12 rounds + -> key + -- ^ Input key padded to 16 bytes + -> Key + -- ^ Output data structure buildKey isShort key = let P x0123 x4567 = decomp64 (fromBE $ B.toW64BE key 0) P x89AB xCDEF = decomp64 (fromBE $ B.toW64BE key 8) @@ -160,12 +163,10 @@ keySchedule :: Bool -> Q -> Key keySchedule isShort x - | isShort = K12 $ allocArray32AndFreeze 24 $ \ma -> + | isShort = K12 $ allocArray32AndFreeze 24 $ \ma -> void (steps123 ma 0 x >>= skip4 >>= steps123 ma 1) - | otherwise = K16 $ allocArray32AndFreeze 32 $ \ma -> void (steps123 ma 0 x >>= step4 ma 24 >>= steps123 ma 1 >>= step4 ma 25) - where sbox_s56785 a b c d e = sbox_s5 a `xor` sbox_s6 b `xor` sbox_s7 c `xor` sbox_s8 d `xor` sbox_s5 e sbox_s56786 a b c d e = sbox_s5 a `xor` sbox_s6 b `xor` sbox_s7 c `xor` sbox_s8 d `xor` sbox_s6 e @@ -279,7 +280,9 @@ sbox_s1 :: Word8 -> Word32 sbox_s1 i = arrayRead32 t (fromIntegral i) where - t = array32FromAddrBE 256 + t = + array32FromAddrBE + 256 "\x30\xfb\x40\xd4\x9f\xa0\xff\x0b\x6b\xec\xcd\x2f\x3f\x25\x8c\x7a\x1e\x21\x3f\x2f\x9c\x00\x4d\xd3\x60\x03\xe5\x40\xcf\x9f\xc9\x49\ \\xbf\xd4\xaf\x27\x88\xbb\xbd\xb5\xe2\x03\x40\x90\x98\xd0\x96\x75\x6e\x63\xa0\xe0\x15\xc3\x61\xd2\xc2\xe7\x66\x1d\x22\xd4\xff\x8e\ \\x28\x68\x3b\x6f\xc0\x7f\xd0\x59\xff\x23\x79\xc8\x77\x5f\x50\xe2\x43\xc3\x40\xd3\xdf\x2f\x86\x56\x88\x7c\xa4\x1a\xa2\xd2\xbd\x2d\ @@ -316,7 +319,9 @@ sbox_s2 :: Word8 -> Word32 sbox_s2 i = arrayRead32 t (fromIntegral i) where - t = array32FromAddrBE 256 + t = + array32FromAddrBE + 256 "\x1f\x20\x10\x94\xef\x0b\xa7\x5b\x69\xe3\xcf\x7e\x39\x3f\x43\x80\xfe\x61\xcf\x7a\xee\xc5\x20\x7a\x55\x88\x9c\x94\x72\xfc\x06\x51\ \\xad\xa7\xef\x79\x4e\x1d\x72\x35\xd5\x5a\x63\xce\xde\x04\x36\xba\x99\xc4\x30\xef\x5f\x0c\x07\x94\x18\xdc\xdb\x7d\xa1\xd6\xef\xf3\ \\xa0\xb5\x2f\x7b\x59\xe8\x36\x05\xee\x15\xb0\x94\xe9\xff\xd9\x09\xdc\x44\x00\x86\xef\x94\x44\x59\xba\x83\xcc\xb3\xe0\xc3\xcd\xfb\ @@ -353,7 +358,9 @@ sbox_s3 :: Word8 -> Word32 sbox_s3 i = arrayRead32 t (fromIntegral i) where - t = array32FromAddrBE 256 + t = + array32FromAddrBE + 256 "\x8d\xef\xc2\x40\x25\xfa\x5d\x9f\xeb\x90\x3d\xbf\xe8\x10\xc9\x07\x47\x60\x7f\xff\x36\x9f\xe4\x4b\x8c\x1f\xc6\x44\xae\xce\xca\x90\ \\xbe\xb1\xf9\xbf\xee\xfb\xca\xea\xe8\xcf\x19\x50\x51\xdf\x07\xae\x92\x0e\x88\x06\xf0\xad\x05\x48\xe1\x3c\x8d\x83\x92\x70\x10\xd5\ \\x11\x10\x7d\x9f\x07\x64\x7d\xb9\xb2\xe3\xe4\xd4\x3d\x4f\x28\x5e\xb9\xaf\xa8\x20\xfa\xde\x82\xe0\xa0\x67\x26\x8b\x82\x72\x79\x2e\ @@ -390,7 +397,9 @@ sbox_s4 :: Word8 -> Word32 sbox_s4 i = arrayRead32 t (fromIntegral i) where - t = array32FromAddrBE 256 + t = + array32FromAddrBE + 256 "\x9d\xb3\x04\x20\x1f\xb6\xe9\xde\xa7\xbe\x7b\xef\xd2\x73\xa2\x98\x4a\x4f\x7b\xdb\x64\xad\x8c\x57\x85\x51\x04\x43\xfa\x02\x0e\xd1\ \\x7e\x28\x7a\xff\xe6\x0f\xb6\x63\x09\x5f\x35\xa1\x79\xeb\xf1\x20\xfd\x05\x9d\x43\x64\x97\xb7\xb1\xf3\x64\x1f\x63\x24\x1e\x4a\xdf\ \\x28\x14\x7f\x5f\x4f\xa2\xb8\xcd\xc9\x43\x00\x40\x0c\xc3\x22\x20\xfd\xd3\x0b\x30\xc0\xa5\x37\x4f\x1d\x2d\x00\xd9\x24\x14\x7b\x15\ @@ -427,7 +436,9 @@ sbox_s5 :: Word8 -> Word32 sbox_s5 i = arrayRead32 t (fromIntegral i) where - t = array32FromAddrBE 256 + t = + array32FromAddrBE + 256 "\x7e\xc9\x0c\x04\x2c\x6e\x74\xb9\x9b\x0e\x66\xdf\xa6\x33\x79\x11\xb8\x6a\x7f\xff\x1d\xd3\x58\xf5\x44\xdd\x9d\x44\x17\x31\x16\x7f\ \\x08\xfb\xf1\xfa\xe7\xf5\x11\xcc\xd2\x05\x1b\x00\x73\x5a\xba\x00\x2a\xb7\x22\xd8\x38\x63\x81\xcb\xac\xf6\x24\x3a\x69\xbe\xfd\x7a\ \\xe6\xa2\xe7\x7f\xf0\xc7\x20\xcd\xc4\x49\x48\x16\xcc\xf5\xc1\x80\x38\x85\x16\x40\x15\xb0\xa8\x48\xe6\x8b\x18\xcb\x4c\xaa\xde\xff\ @@ -464,7 +475,9 @@ sbox_s6 :: Word8 -> Word32 sbox_s6 i = arrayRead32 t (fromIntegral i) where - t = array32FromAddrBE 256 + t = + array32FromAddrBE + 256 "\xf6\xfa\x8f\x9d\x2c\xac\x6c\xe1\x4c\xa3\x48\x67\xe2\x33\x7f\x7c\x95\xdb\x08\xe7\x01\x68\x43\xb4\xec\xed\x5c\xbc\x32\x55\x53\xac\ \\xbf\x9f\x09\x60\xdf\xa1\xe2\xed\x83\xf0\x57\x9d\x63\xed\x86\xb9\x1a\xb6\xa6\xb8\xde\x5e\xbe\x39\xf3\x8f\xf7\x32\x89\x89\xb1\x38\ \\x33\xf1\x49\x61\xc0\x19\x37\xbd\xf5\x06\xc6\xda\xe4\x62\x5e\x7e\xa3\x08\xea\x99\x4e\x23\xe3\x3c\x79\xcb\xd7\xcc\x48\xa1\x43\x67\ @@ -501,7 +514,9 @@ sbox_s7 :: Word8 -> Word32 sbox_s7 i = arrayRead32 t (fromIntegral i) where - t = array32FromAddrBE 256 + t = + array32FromAddrBE + 256 "\x85\xe0\x40\x19\x33\x2b\xf5\x67\x66\x2d\xbf\xff\xcf\xc6\x56\x93\x2a\x8d\x7f\x6f\xab\x9b\xc9\x12\xde\x60\x08\xa1\x20\x28\xda\x1f\ \\x02\x27\xbc\xe7\x4d\x64\x29\x16\x18\xfa\xc3\x00\x50\xf1\x8b\x82\x2c\xb2\xcb\x11\xb2\x32\xe7\x5c\x4b\x36\x95\xf2\xb2\x87\x07\xde\ \\xa0\x5f\xbc\xf6\xcd\x41\x81\xe9\xe1\x50\x21\x0c\xe2\x4e\xf1\xbd\xb1\x68\xc3\x81\xfd\xe4\xe7\x89\x5c\x79\xb0\xd8\x1e\x8b\xfd\x43\ @@ -538,7 +553,9 @@ sbox_s8 :: Word8 -> Word32 sbox_s8 i = arrayRead32 t (fromIntegral i) where - t = array32FromAddrBE 256 + t = + array32FromAddrBE + 256 "\xe2\x16\x30\x0d\xbb\xdd\xff\xfc\xa7\xeb\xda\xbd\x35\x64\x80\x95\x77\x89\xf8\xb7\xe6\xc1\x12\x1b\x0e\x24\x16\x00\x05\x2c\xe8\xb5\ \\x11\xa9\xcf\xb0\xe5\x95\x2f\x11\xec\xe7\x99\x0a\x93\x86\xd1\x74\x2a\x42\x93\x1c\x76\xe3\x81\x11\xb1\x2d\xef\x3a\x37\xdd\xdd\xfc\ \\xde\x9a\xde\xb1\x0a\x0c\xc3\x2c\xbe\x19\x70\x29\x84\xa0\x09\x40\xbb\x24\x3a\x0f\xb4\xd1\x37\xcf\xb4\x4e\x79\xf0\x04\x9e\xed\xfd\ diff --git a/Crypto/Cipher/Camellia.hs b/Crypto/Cipher/Camellia.hs --- a/Crypto/Cipher/Camellia.hs +++ b/Crypto/Cipher/Camellia.hs @@ -6,10 +6,9 @@ -- Portability : Good -- -- Camellia support. only 128 bit variant available for now. - -module Crypto.Cipher.Camellia - ( Camellia128 - ) where +module Crypto.Cipher.Camellia ( + Camellia128, +) where import Crypto.Cipher.Camellia.Primitive import Crypto.Cipher.Types @@ -18,9 +17,9 @@ newtype Camellia128 = Camellia128 Camellia instance Cipher Camellia128 where - cipherName _ = "Camellia128" + cipherName _ = "Camellia128" cipherKeySize _ = KeySizeFixed 16 - cipherInit k = Camellia128 `fmap` initCamellia k + cipherInit k = Camellia128 `fmap` initCamellia k instance BlockCipher Camellia128 where blockSize _ = 16 diff --git a/Crypto/Cipher/Camellia/Primitive.hs b/Crypto/Cipher/Camellia/Primitive.hs --- a/Crypto/Cipher/Camellia/Primitive.hs +++ b/Crypto/Cipher/Camellia/Primitive.hs @@ -1,3 +1,4 @@ +{-# LANGUAGE ForeignFunctionInterface #-} -- | -- Module : Crypto.Cipher.Camellia.Primitive @@ -6,278 +7,76 @@ -- Stability : experimental -- Portability : Good -- +-- Camellia with a 128-bit key, over the C in @cbits/crypton_camellia.c@. +-- -- This only cover Camellia 128 bits for now. The API will change once -- 192 and 256 mode are implemented too. -{-# LANGUAGE MagicHash #-} -module Crypto.Cipher.Camellia.Primitive - ( Camellia - , initCamellia - , encrypt - , decrypt - ) where - -import Data.Word -import Data.Bits +module Crypto.Cipher.Camellia.Primitive ( + Camellia, + initCamellia, + encrypt, + decrypt, +) where -import Crypto.Error -import Crypto.Internal.ByteArray (ByteArrayAccess, ByteArray) +import Crypto.Error +import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess, Bytes) import qualified Crypto.Internal.ByteArray as B -import Crypto.Internal.Words -import Crypto.Internal.WordArray -import Data.Memory.Endian - -data Mode = Decrypt | Encrypt - -w64tow128 :: (Word64, Word64) -> Word128 -w64tow128 (x1, x2) = Word128 x1 x2 - -w64tow8 :: Word64 -> (Word8, Word8, Word8, Word8, Word8, Word8, Word8, Word8) -w64tow8 x = (t1, t2, t3, t4, t5, t6, t7, t8) - where - t1 = fromIntegral (x `shiftR` 56) - t2 = fromIntegral (x `shiftR` 48) - t3 = fromIntegral (x `shiftR` 40) - t4 = fromIntegral (x `shiftR` 32) - t5 = fromIntegral (x `shiftR` 24) - t6 = fromIntegral (x `shiftR` 16) - t7 = fromIntegral (x `shiftR` 8) - t8 = fromIntegral (x) - -w8tow64 :: (Word8, Word8, Word8, Word8, Word8, Word8, Word8, Word8) -> Word64 -w8tow64 (t1,t2,t3,t4,t5,t6,t7,t8) = - (fromIntegral t1 `shiftL` 56) .|. - (fromIntegral t2 `shiftL` 48) .|. - (fromIntegral t3 `shiftL` 40) .|. - (fromIntegral t4 `shiftL` 32) .|. - (fromIntegral t5 `shiftL` 24) .|. - (fromIntegral t6 `shiftL` 16) .|. - (fromIntegral t7 `shiftL` 8) .|. - (fromIntegral t8) - -sbox :: Int -> Word8 -sbox = arrayRead8 t - where t = array8 - "\x70\x82\x2c\xec\xb3\x27\xc0\xe5\xe4\x85\x57\x35\xea\x0c\xae\x41\ - \\x23\xef\x6b\x93\x45\x19\xa5\x21\xed\x0e\x4f\x4e\x1d\x65\x92\xbd\ - \\x86\xb8\xaf\x8f\x7c\xeb\x1f\xce\x3e\x30\xdc\x5f\x5e\xc5\x0b\x1a\ - \\xa6\xe1\x39\xca\xd5\x47\x5d\x3d\xd9\x01\x5a\xd6\x51\x56\x6c\x4d\ - \\x8b\x0d\x9a\x66\xfb\xcc\xb0\x2d\x74\x12\x2b\x20\xf0\xb1\x84\x99\ - \\xdf\x4c\xcb\xc2\x34\x7e\x76\x05\x6d\xb7\xa9\x31\xd1\x17\x04\xd7\ - \\x14\x58\x3a\x61\xde\x1b\x11\x1c\x32\x0f\x9c\x16\x53\x18\xf2\x22\ - \\xfe\x44\xcf\xb2\xc3\xb5\x7a\x91\x24\x08\xe8\xa8\x60\xfc\x69\x50\ - \\xaa\xd0\xa0\x7d\xa1\x89\x62\x97\x54\x5b\x1e\x95\xe0\xff\x64\xd2\ - \\x10\xc4\x00\x48\xa3\xf7\x75\xdb\x8a\x03\xe6\xda\x09\x3f\xdd\x94\ - \\x87\x5c\x83\x02\xcd\x4a\x90\x33\x73\x67\xf6\xf3\x9d\x7f\xbf\xe2\ - \\x52\x9b\xd8\x26\xc8\x37\xc6\x3b\x81\x96\x6f\x4b\x13\xbe\x63\x2e\ - \\xe9\x79\xa7\x8c\x9f\x6e\xbc\x8e\x29\xf5\xf9\xb6\x2f\xfd\xb4\x59\ - \\x78\x98\x06\x6a\xe7\x46\x71\xba\xd4\x25\xab\x42\x88\xa2\x8d\xfa\ - \\x72\x07\xb9\x55\xf8\xee\xac\x0a\x36\x49\x2a\x68\x3c\x38\xf1\xa4\ - \\x40\x28\xd3\x7b\xbb\xc9\x43\xc1\x15\xe3\xad\xf4\x77\xc7\x80\x9e"# - -sbox1 :: Word8 -> Word8 -sbox1 x = sbox (fromIntegral x) - -sbox2 :: Word8 -> Word8 -sbox2 x = sbox1 x `rotateL` 1 - -sbox3 :: Word8 -> Word8 -sbox3 x = sbox1 x `rotateL` 7 - -sbox4 :: Word8 -> Word8 -sbox4 x = sbox1 (x `rotateL` 1) - -sigma1, sigma2, sigma3, sigma4, sigma5, sigma6 :: Word64 -sigma1 = 0xA09E667F3BCC908B -sigma2 = 0xB67AE8584CAA73B2 -sigma3 = 0xC6EF372FE94F82BE -sigma4 = 0x54FF53A5F1D36F1C -sigma5 = 0x10E527FADE682D1D -sigma6 = 0xB05688C2B3E6C1FD - -rotl128 :: Word128 -> Int -> Word128 -rotl128 v 0 = v -rotl128 (Word128 x1 x2) 64 = Word128 x2 x1 - -rotl128 v@(Word128 x1 x2) w - | w > 64 = (v `rotl128` 64) `rotl128` (w - 64) - | otherwise = Word128 (x1high .|. x2low) (x2high .|. x1low) - where - splitBits i = (i .&. complement x, i .&. x) - where x = 2 ^ w - 1 - (x1high, x1low) = splitBits (x1 `rotateL` w) - (x2high, x2low) = splitBits (x2 `rotateL` w) - --- | Camellia context -data Camellia = Camellia - { k :: Array64 - , kw :: Array64 - , ke :: Array64 - } +import Crypto.Internal.Compat (unsafeDoIO) +import Data.Word +import Foreign.Ptr (Ptr) -setKeyInterim :: ByteArrayAccess key => key -> (Word128, Word128, Word128, Word128) -setKeyInterim keyseed = (w64tow128 kL, w64tow128 kR, w64tow128 kA, w64tow128 kB) - where kL = (fromBE $ B.toW64BE keyseed 0, fromBE $ B.toW64BE keyseed 8) - kR = (0, 0) +-- | The subkeys of RFC 3713 section 2.2: kw, k and ke, as 26 64-bit words. +newtype Camellia = Camellia Bytes + deriving (Eq) - kA = let d1 = (fst kL `xor` fst kR) - d2 = (snd kL `xor` snd kR) - d3 = d2 `xor` feistel d1 sigma1 - d4 = d1 `xor` feistel d3 sigma2 - d5 = d4 `xor` (fst kL) - d6 = d3 `xor` (snd kL) - d7 = d6 `xor` feistel d5 sigma3 - d8 = d5 `xor` feistel d7 sigma4 - in (d8, d7) +scheduleSize :: Int +scheduleSize = 26 * 8 - kB = let d1 = (fst kA `xor` fst kR) - d2 = (snd kA `xor` snd kR) - d3 = d2 `xor` feistel d1 sigma5 - d4 = d1 `xor` feistel d3 sigma6 - in (d4, d3) +blockBytes :: Int +blockBytes = 16 --- | Initialize a 128-bit key --- --- Return the initialized key or a error message if the given --- keyseed was not 16-bytes in length. -initCamellia :: ByteArray key - => key -- ^ The key to create the camellia context - -> CryptoFailable Camellia +-- | Initialize a 128-bit key. +initCamellia :: ByteArrayAccess key => key -> CryptoFailable Camellia initCamellia key - | B.length key /= 16 = CryptoFailed $ CryptoError_KeySizeInvalid - | otherwise = - let (kL, _, kA, _) = setKeyInterim key in - - let (Word128 kw1 kw2) = (kL `rotl128` 0) in - let (Word128 k1 k2) = (kA `rotl128` 0) in - let (Word128 k3 k4) = (kL `rotl128` 15) in - let (Word128 k5 k6) = (kA `rotl128` 15) in - let (Word128 ke1 ke2) = (kA `rotl128` 30) in --ke1 = (KA <<< 30) >> 64; ke2 = (KA <<< 30) & MASK64; - let (Word128 k7 k8) = (kL `rotl128` 45) in --k7 = (KL <<< 45) >> 64; k8 = (KL <<< 45) & MASK64; - let (Word128 k9 _) = (kA `rotl128` 45) in --k9 = (KA <<< 45) >> 64; - let (Word128 _ k10) = (kL `rotl128` 60) in - let (Word128 k11 k12) = (kA `rotl128` 60) in - let (Word128 ke3 ke4) = (kL `rotl128` 77) in - let (Word128 k13 k14) = (kL `rotl128` 94) in - let (Word128 k15 k16) = (kA `rotl128` 94) in - let (Word128 k17 k18) = (kL `rotl128` 111) in - let (Word128 kw3 kw4) = (kA `rotl128` 111) in - - CryptoPassed $ Camellia - { kw = array64 4 [ kw1, kw2, kw3, kw4 ] - , ke = array64 4 [ ke1, ke2, ke3, ke4 ] - , k = array64 18 [ k1, k2, k3, k4, k5, k6, k7, k8, k9, k10, k11, k12, k13, k14, k15, k16, k17, k18 ] - } - -feistel :: Word64 -> Word64 -> Word64 -feistel fin sk = - let x = fin `xor` sk in - let (t1, t2, t3, t4, t5, t6, t7, t8) = w64tow8 x in - let t1' = sbox1 t1 in - let t2' = sbox2 t2 in - let t3' = sbox3 t3 in - let t4' = sbox4 t4 in - let t5' = sbox2 t5 in - let t6' = sbox3 t6 in - let t7' = sbox4 t7 in - let t8' = sbox1 t8 in - let y1 = t1' `xor` t3' `xor` t4' `xor` t6' `xor` t7' `xor` t8' in - let y2 = t1' `xor` t2' `xor` t4' `xor` t5' `xor` t7' `xor` t8' in - let y3 = t1' `xor` t2' `xor` t3' `xor` t5' `xor` t6' `xor` t8' in - let y4 = t2' `xor` t3' `xor` t4' `xor` t5' `xor` t6' `xor` t7' in - let y5 = t1' `xor` t2' `xor` t6' `xor` t7' `xor` t8' in - let y6 = t2' `xor` t3' `xor` t5' `xor` t7' `xor` t8' in - let y7 = t3' `xor` t4' `xor` t5' `xor` t6' `xor` t8' in - let y8 = t1' `xor` t4' `xor` t5' `xor` t6' `xor` t7' in - w8tow64 (y1, y2, y3, y4, y5, y6, y7, y8) - -fl :: Word64 -> Word64 -> Word64 -fl fin sk = - let (x1, x2) = w64to32 fin in - let (k1, k2) = w64to32 sk in - let y2 = x2 `xor` ((x1 .&. k1) `rotateL` 1) in - let y1 = x1 `xor` (y2 .|. k2) in - w32to64 (y1, y2) - -flinv :: Word64 -> Word64 -> Word64 -flinv fin sk = - let (y1, y2) = w64to32 fin in - let (k1, k2) = w64to32 sk in - let x1 = y1 `xor` (y2 .|. k2) in - let x2 = y2 `xor` ((x1 .&. k1) `rotateL` 1) in - w32to64 (x1, x2) - -{- in decrypt mode 0->17 1->16 ... -} -getKeyK :: Mode -> Camellia -> Int -> Word64 -getKeyK Encrypt key i = k key `arrayRead64` i -getKeyK Decrypt key i = k key `arrayRead64` (17 - i) - -{- in decrypt mode 0->3 1->2 2->1 3->0 -} -getKeyKe :: Mode -> Camellia -> Int -> Word64 -getKeyKe Encrypt key i = ke key `arrayRead64` i -getKeyKe Decrypt key i = ke key `arrayRead64` (3 - i) - -{- in decrypt mode 0->2 1->3 2->0 3->1 -} -getKeyKw :: Mode -> Camellia -> Int -> Word64 -getKeyKw Encrypt key i = (kw key) `arrayRead64` i -getKeyKw Decrypt key i = (kw key) `arrayRead64` ((i + 2) `mod` 4) - -{- perform the following - D2 = D2 ^ F(D1, k1); // Round 1 - D1 = D1 ^ F(D2, k2); // Round 2 - D2 = D2 ^ F(D1, k3); // Round 3 - D1 = D1 ^ F(D2, k4); // Round 4 - D2 = D2 ^ F(D1, k5); // Round 5 - D1 = D1 ^ F(D2, k6); // Round 6 - -} -doBlockRound :: Mode -> Camellia -> Word64 -> Word64 -> Int -> (Word64, Word64) -doBlockRound mode key d1 d2 i = - let r1 = d2 `xor` feistel d1 (getKeyK mode key (0+i)) in {- Round 1+i -} - let r2 = d1 `xor` feistel r1 (getKeyK mode key (1+i)) in {- Round 2+i -} - let r3 = r1 `xor` feistel r2 (getKeyK mode key (2+i)) in {- Round 3+i -} - let r4 = r2 `xor` feistel r3 (getKeyK mode key (3+i)) in {- Round 4+i -} - let r5 = r3 `xor` feistel r4 (getKeyK mode key (4+i)) in {- Round 5+i -} - let r6 = r4 `xor` feistel r5 (getKeyK mode key (5+i)) in {- Round 6+i -} - (r6, r5) - -doBlock :: Mode -> Camellia -> Word128 -> Word128 -doBlock mode key (Word128 d1 d2) = - let d1a = d1 `xor` (getKeyKw mode key 0) in {- Prewhitening -} - let d2a = d2 `xor` (getKeyKw mode key 1) in - - let (d1b, d2b) = doBlockRound mode key d1a d2a 0 in - - let d1c = fl d1b (getKeyKe mode key 0) in {- FL -} - let d2c = flinv d2b (getKeyKe mode key 1) in {- FLINV -} - - let (d1d, d2d) = doBlockRound mode key d1c d2c 6 in - - let d1e = fl d1d (getKeyKe mode key 2) in {- FL -} - let d2e = flinv d2d (getKeyKe mode key 3) in {- FLINV -} + | B.length key /= 16 = CryptoFailed CryptoError_KeySizeInvalid + | otherwise = + CryptoPassed $ + Camellia $ + B.allocAndFreeze scheduleSize $ \ks -> + B.withByteArray key $ \k -> c_camellia_init ks k - let (d1f, d2f) = doBlockRound mode key d1e d2e 12 in +-- | Encrypt the given input, which has to be a whole number of blocks. +encrypt :: ByteArray ba => Camellia -> ba -> ba +encrypt = run c_camellia_encrypt - let d2g = d2f `xor` (getKeyKw mode key 2) in {- Postwhitening -} - let d1g = d1f `xor` (getKeyKw mode key 3) in - w64tow128 (d2g, d1g) +-- | Decrypt the given input, which has to be a whole number of blocks. +decrypt :: ByteArray ba => Camellia -> ba -> ba +decrypt = run c_camellia_decrypt -{- encryption for 128 bits blocks -} -encryptBlock :: Camellia -> Word128 -> Word128 -encryptBlock = doBlock Encrypt +run + :: ByteArray ba + => (Ptr Word8 -> Ptr Word8 -> Ptr Word8 -> Word32 -> IO ()) + -> Camellia + -> ba + -> ba +run f (Camellia sched) input + | len `mod` blockBytes /= 0 = + error $ + "Crypto.Cipher.Camellia: input length must be a multiple of block size (16). Its length is: " + ++ show len + | otherwise = unsafeDoIO $ + B.alloc len $ \out -> + B.withByteArray sched $ \ks -> + B.withByteArray input $ \inp -> + f out ks inp (fromIntegral (len `div` blockBytes)) + where + len = B.length input -{- decryption for 128 bits blocks -} -decryptBlock :: Camellia -> Word128 -> Word128 -decryptBlock = doBlock Decrypt +foreign import ccall unsafe "crypton_camellia.h crypton_camellia_init" + c_camellia_init :: Ptr Word8 -> Ptr Word8 -> IO () --- | Encrypts the given ByteString using the given Key -encrypt :: ByteArray ba - => Camellia -- ^ The key to use - -> ba -- ^ The data to encrypt - -> ba -encrypt key = B.mapAsWord128 (encryptBlock key) +foreign import ccall unsafe "crypton_camellia.h crypton_camellia_encrypt" + c_camellia_encrypt :: Ptr Word8 -> Ptr Word8 -> Ptr Word8 -> Word32 -> IO () --- | Decrypts the given ByteString using the given Key -decrypt :: ByteArray ba - => Camellia -- ^ The key to use - -> ba -- ^ The data to decrypt - -> ba -decrypt key = B.mapAsWord128 (decryptBlock key) +foreign import ccall unsafe "crypton_camellia.h crypton_camellia_decrypt" + c_camellia_decrypt :: Ptr Word8 -> Ptr Word8 -> Ptr Word8 -> Word32 -> IO () diff --git a/Crypto/Cipher/ChaCha.hs b/Crypto/Cipher/ChaCha.hs --- a/Crypto/Cipher/ChaCha.hs +++ b/Crypto/Cipher/ChaCha.hs @@ -1,30 +1,40 @@ +{-# LANGUAGE CApiFFI #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + -- | -- Module : Crypto.Cipher.ChaCha -- License : BSD-style -- Maintainer : Vincent Hanquez -- Stability : stable -- Portability : good --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -module Crypto.Cipher.ChaCha - ( initialize - , initializeX - , combine - , generate - , State +module Crypto.Cipher.ChaCha ( + initialize, + initializeX, + combine, + generate, + State, + -- * Simple interface for DRG purpose - , initializeSimple - , generateSimple - , StateSimple - ) where + initializeSimple, + generateSimple, + StateSimple, -import Crypto.Internal.ByteArray (ByteArrayAccess, ByteArray, ScrubbedBytes) + -- * Seeking and cursor for DRG purposes + generateSimpleBlock, + ChaChaState (..), +) where + +import Crypto.Internal.ByteArray ( + ByteArray, + ByteArrayAccess, + ScrubbedBytes, + ) import qualified Crypto.Internal.ByteArray as B -import Crypto.Internal.Compat -import Crypto.Internal.Imports -import Foreign.Ptr -import Foreign.C.Types +import Crypto.Internal.Compat +import Crypto.Internal.Imports +import Foreign.C.Types +import Foreign.Ptr -- | ChaCha context newtype State = State ScrubbedBytes @@ -34,111 +44,217 @@ newtype StateSimple = StateSimple ScrubbedBytes -- just ChaCha's state deriving (NFData) +class ChaChaState a where + getCounter64 :: a -> Word64 + setCounter64 :: Word64 -> a -> a + getCounter32 :: a -> Word32 + setCounter32 :: Word32 -> a -> a + +instance ChaChaState State where + getCounter64 (State st) = getCounter64' st ccrypton_chacha_get_state + setCounter64 n (State st) = State $ setCounter64' n st ccrypton_chacha_get_state + getCounter32 (State st) = getCounter32' st ccrypton_chacha_get_state + setCounter32 n (State st) = State $ setCounter32' n st ccrypton_chacha_get_state + +instance ChaChaState StateSimple where + getCounter64 (StateSimple st) = getCounter64' st id + setCounter64 n (StateSimple st) = StateSimple $ setCounter64' n st id + getCounter32 (StateSimple st) = getCounter32' st id + setCounter32 n (StateSimple st) = StateSimple $ setCounter32' n st id + +getCounter64' :: ScrubbedBytes -> (Ptr a -> Ptr StateSimple) -> Word64 +getCounter64' currSt conv = + unsafeDoIO $ do + B.withByteArray currSt $ \stPtr -> + ccrypton_chacha_counter64 $ conv stPtr + +getCounter32' :: ScrubbedBytes -> (Ptr a -> Ptr StateSimple) -> Word32 +getCounter32' currSt conv = + unsafeDoIO $ do + B.withByteArray currSt $ \stPtr -> + ccrypton_chacha_counter32 $ conv stPtr + +setCounter64' + :: Word64 -> ScrubbedBytes -> (Ptr a -> Ptr StateSimple) -> ScrubbedBytes +setCounter64' newCounter prevSt conv = + unsafeDoIO $ do + newSt <- B.copy prevSt (\_ -> return ()) + B.withByteArray newSt $ \stPtr -> + ccrypton_chacha_set_counter64 (conv stPtr) newCounter + return newSt + +setCounter32' + :: Word32 -> ScrubbedBytes -> (Ptr a -> Ptr StateSimple) -> ScrubbedBytes +setCounter32' newCounter prevSt conv = + unsafeDoIO $ do + newSt <- B.copy prevSt (\_ -> return ()) + B.withByteArray newSt $ \stPtr -> + ccrypton_chacha_set_counter32 (conv stPtr) newCounter + return newSt + -- | Initialize a new ChaCha context with the number of rounds, -- the key and the nonce associated. -initialize :: (ByteArrayAccess key, ByteArrayAccess nonce) - => Int -- ^ number of rounds (8,12,20) - -> key -- ^ the key (128 or 256 bits) - -> nonce -- ^ the nonce (64 or 96 bits) - -> State -- ^ the initial ChaCha state +-- To use ChaCha20 defined in RFC 8439, 20, 256bits-key and 96-bits nonce must be used. +initialize + :: (ByteArrayAccess key, ByteArrayAccess nonce) + => Int + -- ^ number of rounds (8,12,20) + -> key + -- ^ the key (128 or 256 bits) + -> nonce + -- ^ the nonce (64 or 96 bits) + -> State + -- ^ the initial ChaCha state initialize nbRounds key nonce - | kLen `notElem` [16,32] = error "ChaCha: key length should be 128 or 256 bits" - | nonceLen `notElem` [8,12] = error "ChaCha: nonce length should be 64 or 96 bits" - | nbRounds `notElem` [8,12,20] = error "ChaCha: rounds should be 8, 12 or 20" - | otherwise = unsafeDoIO $ do + | kLen `notElem` [16, 32] = + error "ChaCha: key length should be 128 or 256 bits" + | nonceLen `notElem` [8, 12] = + error "ChaCha: nonce length should be 64 or 96 bits" + | nbRounds `notElem` [8, 12, 20] = error "ChaCha: rounds should be 8, 12 or 20" + | otherwise = unsafeDoIO $ do stPtr <- B.alloc 132 $ \stPtr -> - B.withByteArray nonce $ \noncePtr -> - B.withByteArray key $ \keyPtr -> - ccrypton_chacha_init stPtr nbRounds kLen keyPtr nonceLen noncePtr + B.withByteArray nonce $ \noncePtr -> + B.withByteArray key $ \keyPtr -> + ccrypton_chacha_init stPtr nbRounds kLen keyPtr nonceLen noncePtr return $ State stPtr - where kLen = B.length key - nonceLen = B.length nonce + where + kLen = B.length key + nonceLen = B.length nonce -- | Initialize a new XChaCha context with the number of rounds, -- the key and the nonce associated. -- -- An XChaCha state can be used like a regular ChaCha state after initialisation. -initializeX :: (ByteArrayAccess key, ByteArrayAccess nonce) - => Int -- ^ number of rounds (8,12,20) - -> key -- ^ the key (256 bits) - -> nonce -- ^ the nonce (192 bits) - -> State -- ^ the initial ChaCha state +initializeX + :: (ByteArrayAccess key, ByteArrayAccess nonce) + => Int + -- ^ number of rounds (8,12,20) + -> key + -- ^ the key (256 bits) + -> nonce + -- ^ the nonce (192 bits) + -> State + -- ^ the initial ChaCha state initializeX nbRounds key nonce - | kLen /= 32 = error "XChaCha: key length should be 256 bits" - | nonceLen /= 24 = error "XChaCha: nonce length should be 192 bits" - | nbRounds `notElem` [8,12,20] = error "XChaCha: rounds should be 8, 12 or 20" - | otherwise = unsafeDoIO $ do + | kLen /= 32 = + error "XChaCha: key length should be 256 bits" + | nonceLen /= 24 = + error "XChaCha: nonce length should be 192 bits" + | nbRounds `notElem` [8, 12, 20] = + error "XChaCha: rounds should be 8, 12 or 20" + | otherwise = unsafeDoIO $ do stPtr <- B.alloc 132 $ \stPtr -> - B.withByteArray nonce $ \noncePtr -> - B.withByteArray key $ \keyPtr -> - ccrypton_xchacha_init stPtr nbRounds keyPtr noncePtr + B.withByteArray nonce $ \noncePtr -> + B.withByteArray key $ \keyPtr -> + ccrypton_xchacha_init stPtr nbRounds keyPtr noncePtr return $ State stPtr - where kLen = B.length key - nonceLen = B.length nonce + where + kLen = B.length key + nonceLen = B.length nonce -- | Initialize simple ChaCha State -- -- The seed need to be at least 40 bytes long -initializeSimple :: ByteArrayAccess seed - => seed -- ^ a 40 bytes long seed - -> StateSimple +initializeSimple + :: ByteArrayAccess seed + => seed + -- ^ a 40 bytes long seed + -> StateSimple initializeSimple seed | sLen < 40 = error "ChaCha Random: seed length should be 40 bytes" | otherwise = unsafeDoIO $ do stPtr <- B.alloc 64 $ \stPtr -> - B.withByteArray seed $ \seedPtr -> - ccrypton_chacha_init_core stPtr 32 seedPtr 8 (seedPtr `plusPtr` 32) + B.withByteArray seed $ \seedPtr -> + ccrypton_chacha_init_core stPtr 32 seedPtr 8 (seedPtr `plusPtr` 32) return $ StateSimple stPtr where sLen = B.length seed -- | Combine the chacha output and an arbitrary message with a xor, -- and return the combined output and the new state. -combine :: ByteArray ba - => State -- ^ the current ChaCha state - -> ba -- ^ the source to xor with the generator - -> (ba, State) +combine + :: ByteArray ba + => State + -- ^ the current ChaCha state + -> ba + -- ^ the source to xor with the generator + -> (ba, State) combine prevSt@(State prevStMem) src | B.null src = (B.empty, prevSt) - | otherwise = unsafeDoIO $ do + | otherwise = unsafeDoIO $ do (out, st) <- B.copyRet prevStMem $ \ctx -> - B.alloc (B.length src) $ \dstPtr -> - B.withByteArray src $ \srcPtr -> - ccrypton_chacha_combine dstPtr ctx srcPtr (fromIntegral $ B.length src) + B.alloc n $ \dstPtr -> + B.withByteArray src $ \srcPtr -> + -- in pieces the C's uint32_t length can hold; it carries + -- the state in ctx, so it can simply be called again + B.inCLengths n $ \off len -> + ccrypton_chacha_combine + (dstPtr `plusPtr` off) + ctx + (srcPtr `plusPtr` off) + (fromIntegral len) return (out, State st) + where + n = B.length src -- | Generate a number of bytes from the ChaCha output directly -generate :: ByteArray ba - => State -- ^ the current ChaCha state - -> Int -- ^ the length of data to generate - -> (ba, State) +generate + :: ByteArray ba + => State + -- ^ the current ChaCha state + -> Int + -- ^ the length of data to generate + -> (ba, State) generate prevSt@(State prevStMem) len - | len <= 0 = (B.empty, prevSt) + | len <= 0 = (B.empty, prevSt) | otherwise = unsafeDoIO $ do (out, st) <- B.copyRet prevStMem $ \ctx -> B.alloc len $ \dstPtr -> - ccrypton_chacha_generate dstPtr ctx (fromIntegral len) + B.inCLengths len $ \off n -> + ccrypton_chacha_generate + (dstPtr `plusPtr` off) + ctx + (fromIntegral n) return (out, State st) -- | similar to 'generate' but assume certains values -generateSimple :: ByteArray ba - => StateSimple - -> Int - -> (ba, StateSimple) +generateSimple + :: ByteArray ba + => StateSimple + -> Int + -> (ba, StateSimple) generateSimple (StateSimple prevSt) nbBytes = unsafeDoIO $ do - newSt <- B.copy prevSt (\_ -> return ()) + newSt <- B.copy prevSt (\_ -> return ()) output <- B.alloc nbBytes $ \dstPtr -> B.withByteArray newSt $ \stPtr -> ccrypton_chacha_random 8 dstPtr stPtr (fromIntegral nbBytes) return (output, StateSimple newSt) -foreign import ccall "crypton_chacha_init_core" - ccrypton_chacha_init_core :: Ptr StateSimple -> Int -> Ptr Word8 -> Int -> Ptr Word8 -> IO () +-- | similar to 'generate' but accepts a number of rounds, and always generates +-- 64 bytes (a single block) +generateSimpleBlock + :: ByteArray ba + => Word8 + -> StateSimple + -> (ba, StateSimple) +generateSimpleBlock nbRounds (StateSimple prevSt) + | nbRounds `notElem` [8, 12, 20] = error "ChaCha: rounds should be 8, 12 or 20" + | otherwise = unsafeDoIO $ do + newSt <- B.copy prevSt (\_ -> return ()) + output <- B.alloc 64 $ \dstPtr -> + B.withByteArray newSt $ \stPtr -> + ccrypton_chacha_generate_simple_block dstPtr stPtr nbRounds + return (output, StateSimple newSt) -foreign import ccall "crypton_chacha_init" - ccrypton_chacha_init :: Ptr State -> Int -> Int -> Ptr Word8 -> Int -> Ptr Word8 -> IO () +foreign import ccall unsafe "crypton_chacha_init_core" + ccrypton_chacha_init_core + :: Ptr StateSimple -> Int -> Ptr Word8 -> Int -> Ptr Word8 -> IO () -foreign import ccall "crypton_xchacha_init" +foreign import ccall unsafe "crypton_chacha_init" + ccrypton_chacha_init + :: Ptr State -> Int -> Int -> Ptr Word8 -> Int -> Ptr Word8 -> IO () + +foreign import ccall unsafe "crypton_xchacha_init" ccrypton_xchacha_init :: Ptr State -> Int -> Ptr Word8 -> Ptr Word8 -> IO () foreign import ccall "crypton_chacha_combine" @@ -150,3 +266,21 @@ foreign import ccall "crypton_chacha_random" ccrypton_chacha_random :: Int -> Ptr Word8 -> Ptr StateSimple -> CUInt -> IO () +foreign import ccall unsafe "crypton_chacha_counter64" + ccrypton_chacha_counter64 :: Ptr StateSimple -> IO Word64 + +foreign import ccall unsafe "crypton_chacha_set_counter64" + ccrypton_chacha_set_counter64 :: Ptr StateSimple -> Word64 -> IO () + +foreign import ccall unsafe "crypton_chacha_counter32" + ccrypton_chacha_counter32 :: Ptr StateSimple -> IO Word32 + +foreign import ccall unsafe "crypton_chacha_set_counter32" + ccrypton_chacha_set_counter32 :: Ptr StateSimple -> Word32 -> IO () + +foreign import ccall unsafe "crypton_chacha_generate_simple_block" + ccrypton_chacha_generate_simple_block + :: Ptr Word8 -> Ptr StateSimple -> Word8 -> IO () + +foreign import capi unsafe "crypton_chacha.h crypton_chacha_get_state" + ccrypton_chacha_get_state :: Ptr State -> Ptr StateSimple diff --git a/Crypto/Cipher/ChaCha/Poly1305.hs b/Crypto/Cipher/ChaCha/Poly1305.hs new file mode 100644 --- /dev/null +++ b/Crypto/Cipher/ChaCha/Poly1305.hs @@ -0,0 +1,335 @@ +-- | +-- Module : Crypto.Cipher.ChaCha.Poly1305 +-- License : BSD-style +-- Maintainer : Kazu Yamamoto +-- Stability : experimental +-- Portability : Good +-- +-- ChaCha20-Poly1305 (RFC 8439) a message at a time. +-- +-- "Crypto.Cipher.ChaChaPoly1305" takes a message in pieces: a state is +-- started, the additional data appended, the body encrypted and the tag +-- taken, each a step of its own. That is what a protocol wants when the +-- message arrives in pieces, and it is eight foreign calls and the +-- allocations between them when the message was already whole. +-- +-- Here the whole message goes in one call. +-- +-- The functions are the same shape as "Crypto.Cipher.AES.GCM", so a protocol +-- that offers both ciphers can hold them the same way. +module Crypto.Cipher.ChaCha.Poly1305 ( + Context, + newContext, + encrypt, + decrypt, + decryptWithTag, +) where + +import Crypto.Cipher.Types (AuthTag (..)) +import Crypto.Error +import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess) +import qualified Crypto.Internal.ByteArray as B +import Crypto.Internal.Compat (unsafeDoIO) +import Crypto.Internal.Imports +import Foreign.C.Types (CInt (..), CUInt (..)) +import Foreign.Ptr (Ptr, plusPtr) + +-- | A key, checked once. +-- +-- ChaCha20-Poly1305 has nothing to precompute from a key: the one-time +-- Poly1305 key comes from the nonce, so it differs for every message. This +-- holds the thirty-two bytes and the knowledge that they are thirty-two, and +-- exists so that the interface is the one "Crypto.Cipher.AES.GCM" has. +newtype Context = Context B.ScrubbedBytes + +instance NFData Context where + rnf (Context k) = k `seq` () + +-- | Take a key of 32 bytes. Any other length is reported as +-- 'CryptoError_KeySizeInvalid'. +newContext :: ByteArrayAccess key => key -> CryptoFailable Context +newContext k + | B.length k /= 32 = CryptoFailed CryptoError_KeySizeInvalid + | otherwise = CryptoPassed $ Context (B.convert k) +{-# INLINABLE newContext #-} + +-- | Encrypt one message. The result is the ciphertext with the tag after it, +-- which is the shape 'decrypt' expects. +-- +-- The nonce is the twelve bytes RFC 8439 defines; any other length gives +-- 'CryptoError_IvSizeInvalid'. RFC 8439 requires a 16-byte tag. +{-# INLINABLE encrypt #-} +encrypt + :: ( ByteArrayAccess nonce + , ByteArrayAccess aad + , ByteArrayAccess ba + , ByteArray output + ) + => Context + -> nonce + -> aad + -> ba + -> Int + -> CryptoFailable output +encrypt (Context k) nonce aad input taglen + | tooLongForC aad input = CryptoFailed CryptoError_ParameterInvalid + | not (validNonce nonce) = CryptoFailed CryptoError_IvSizeInvalid + | badTag taglen = CryptoFailed CryptoError_AuthenticationTagSizeInvalid + | otherwise = + CryptoPassed $ + unsafeDoIO $ + B.alloc (B.length input + taglen) $ \out -> + B.withByteArray k $ \kp -> + B.withByteArray nonce $ \np -> + B.withByteArray aad $ \ap -> + B.withByteArray input $ \ip -> + (callE (B.length input)) + out + (out `plusPtr` B.length input) + (fromIntegral taglen) + kp + np + (fromIntegral $ B.length nonce) + ap + (fromIntegral $ B.length aad) + ip + (fromIntegral $ B.length input) + +-- | Decrypt one message, in the shape 'encrypt' produced: the ciphertext with +-- its tag after it. The tag is compared here, every byte of it whatever the +-- answer, and a message whose tag does not match gives 'Nothing' rather than +-- the plaintext. +-- +-- 'Nothing' also comes back when the input is shorter than the tag, or the +-- nonce is not twelve bytes. +{-# INLINABLE decrypt #-} +decrypt + :: (ByteArrayAccess nonce, ByteArrayAccess aad, ByteArray ba) + => Context + -> nonce + -> aad + -> ba + -> Int + -> Maybe ba +decrypt (Context k) nonce aad input taglen + | tooLongForC aad input = Nothing + | not (validNonce nonce) = Nothing + | badTag taglen || B.length input < taglen = Nothing + | otherwise = unsafeDoIO $ do + (r, out) <- B.allocRet bodylen $ \outp -> + B.withByteArray k $ \kp -> + B.withByteArray nonce $ \np -> + B.withByteArray aad $ \ap -> + B.withByteArray body $ \ip -> + B.withByteArray tag $ \tp -> + (callD bodylen) + outp + tp + (fromIntegral taglen) + kp + np + (fromIntegral $ B.length nonce) + ap + (fromIntegral $ B.length aad) + ip + (fromIntegral bodylen) + return $ if r /= 0 then Just out else Nothing + where + bodylen = B.length input - taglen + (body, tag) = B.splitAt bodylen input + +-- | Decrypt one message, the tag kept apart, and hand back the tag this end +-- computed. +-- +-- For a caller whose protocol carries the tag separately from the ciphertext, +-- so that 'decrypt' -- which wants the two together and compares them itself +-- -- does not fit. Compare the two tags with '=='; the 'Eq' instance of +-- t'AuthTag' is a constant-time comparison, and taking them apart to compare +-- the bytes is how this goes wrong. +-- +-- Nothing here says whether the message is authentic. Until the comparison +-- is made and has come out equal, what this returns is not plaintext, it is +-- what the ciphertext turns into, and a caller must not act on it. +{-# INLINABLE decryptWithTag #-} +decryptWithTag + :: (ByteArrayAccess nonce, ByteArrayAccess aad, ByteArray ba) + => Context + -> nonce + -> aad + -> ba + -> Int + -> CryptoFailable (ba, AuthTag) +decryptWithTag (Context k) nonce aad input taglen + | tooLongForC aad input = CryptoFailed CryptoError_ParameterInvalid + | not (validNonce nonce) = CryptoFailed CryptoError_IvSizeInvalid + | badTag taglen = CryptoFailed CryptoError_AuthenticationTagSizeInvalid + | otherwise = CryptoPassed $ unsafeDoIO $ do + (tagbs, out) <- B.allocRet (B.length input) $ \outp -> + B.alloc taglen $ \tagp -> + B.withByteArray k $ \kp -> + B.withByteArray nonce $ \np -> + B.withByteArray aad $ \ap -> + B.withByteArray input $ \ip -> + (callT (B.length input)) + outp + tagp + (fromIntegral taglen) + kp + np + (fromIntegral $ B.length nonce) + ap + (fromIntegral $ B.length aad) + ip + (fromIntegral $ B.length input) + return (out, AuthTag $ B.convert (tagbs :: B.Bytes)) + +-- | The C takes its lengths as @uint32_t@, so a message or its additional +-- data from 2^32 bytes up cannot be handed to it: the length would be +-- truncated and most of the buffer left untouched, with nothing to say so. +-- The C does the whole message in one call, so there is no splitting it. +tooLongForC + :: (ByteArrayAccess aad, ByteArrayAccess ba) => aad -> ba -> Bool +tooLongForC aad input = + B.overCLength (B.length aad) || B.overCLength (B.length input) + +-- RFC 8439 is the twelve-byte nonce. ChaCha20 will take eight, but that is +-- the other construction, with a 64-bit block counter, and it is not what +-- this AEAD is defined over -- so it is refused here rather than quietly +-- encrypting under a scheme nobody asked for. +validNonce :: ByteArrayAccess nonce => nonce -> Bool +validNonce n = B.length n == 12 + +badTag :: Int -> Bool +badTag t = t /= 16 + +-- | An unsafe call keeps a capability for as long as it runs, so it is only +-- for a message short enough that the run is short. Four kibibytes is what +-- the AES side uses, and it takes in a datagram of any size a network will +-- carry. +shortMessage :: Int +shortMessage = 4096 + +callE :: Int -> CEncrypt +callE n + | n <= shortMessage = c_chachapoly_encrypt_unsafe + | otherwise = c_chachapoly_encrypt + +callD :: Int -> CDecrypt +callD n + | n <= shortMessage = c_chachapoly_decrypt_unsafe + | otherwise = c_chachapoly_decrypt + +callT :: Int -> CEncrypt +callT n + | n <= shortMessage = c_chachapoly_decrypt_tag_unsafe + | otherwise = c_chachapoly_decrypt_tag + +type CEncrypt = + Ptr Word8 + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> IO () + +type CDecrypt = + Ptr Word8 + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> IO CInt + +foreign import ccall "crypton_chachapoly.h crypton_chachapoly_encrypt" + c_chachapoly_encrypt + :: Ptr Word8 + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> IO () + +foreign import ccall unsafe "crypton_chachapoly.h crypton_chachapoly_encrypt" + c_chachapoly_encrypt_unsafe + :: Ptr Word8 + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> IO () + +foreign import ccall "crypton_chachapoly.h crypton_chachapoly_decrypt" + c_chachapoly_decrypt + :: Ptr Word8 + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> IO CInt + +foreign import ccall unsafe "crypton_chachapoly.h crypton_chachapoly_decrypt" + c_chachapoly_decrypt_unsafe + :: Ptr Word8 + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> IO CInt + +foreign import ccall "crypton_chachapoly.h crypton_chachapoly_decrypt_tag" + c_chachapoly_decrypt_tag + :: Ptr Word8 + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> IO () + +foreign import ccall unsafe "crypton_chachapoly.h crypton_chachapoly_decrypt_tag" + c_chachapoly_decrypt_tag_unsafe + :: Ptr Word8 + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> Ptr Word8 + -> CUInt + -> IO () diff --git a/Crypto/Cipher/ChaChaPoly1305.hs b/Crypto/Cipher/ChaChaPoly1305.hs --- a/Crypto/Cipher/ChaChaPoly1305.hs +++ b/Crypto/Cipher/ChaChaPoly1305.hs @@ -1,3 +1,5 @@ +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + -- | -- Module : Crypto.Cipher.ChaChaPoly1305 -- License : BSD-style @@ -6,7 +8,7 @@ -- Portability : good -- -- A simple AEAD scheme using ChaCha20 and Poly1305. See --- . +-- . -- -- The State is not modified in place, so each function changing the State, -- returns a new State. @@ -28,69 +30,86 @@ -- > -> ByteString -- input plaintext to be encrypted -- > -> CryptoFailable ByteString -- ciphertext with a 128-bit tag attached -- >encrypt nonce key header plaintext = do --- > st1 <- C.nonce12 nonce >>= C.initialize key +-- > st1 <- C.initialize <$> C.key key <*> C.nonce12 nonce -- > let -- > st2 = C.finalizeAAD $ C.appendAAD header st1 -- > (out, st3) = C.encrypt plaintext st2 -- > auth = C.finalize st3 -- > return $ out `B.append` Data.ByteArray.convert auth --- -module Crypto.Cipher.ChaChaPoly1305 - ( State - , Nonce - , XNonce - , nonce12 - , nonce8 - , nonce24 - , incrementNonce - , initialize - , initializeX - , appendAAD - , finalizeAAD - , encrypt - , decrypt - , finalize - ) where +module Crypto.Cipher.ChaChaPoly1305 ( + -- * AEAD + ChaCha20Poly1305, + aeadChacha20poly1305Init, -import Control.Monad (when) -import Crypto.Internal.ByteArray (ByteArrayAccess, ByteArray, Bytes, ScrubbedBytes) -import qualified Crypto.Internal.ByteArray as B -import Crypto.Internal.Imports -import Crypto.Error + -- * Low level + State, + Key, + key, + Nonce, + XNonce, + nonce12, + nonce8, + nonce24, + incrementNonce, + initialize, + initializeX, + appendAAD, + finalizeAAD, + encrypt, + decrypt, + finalize, +) where + +import Control.Monad (when) import qualified Crypto.Cipher.ChaCha as ChaCha -import qualified Crypto.MAC.Poly1305 as Poly1305 -import Data.Memory.Endian +import Crypto.Cipher.Types +import Crypto.Error +import Crypto.Internal.ByteArray ( + ByteArray, + ByteArrayAccess, + Bytes, + ScrubbedBytes, + ) +import qualified Crypto.Internal.ByteArray as B +import Crypto.Internal.Imports +import qualified Crypto.Internal.Poly1305 as PolyKey +import qualified Crypto.MAC.Poly1305 as Poly1305 import qualified Data.ByteArray.Pack as P -import Foreign.Ptr -import Foreign.Storable +import Data.Memory.Endian +import Foreign.Ptr +import Foreign.Storable -- | A ChaChaPoly1305 State. -- -- The state is immutable, and only new state can be created -data State = State !ChaCha.State - !Poly1305.State - !Word64 -- AAD length - !Word64 -- ciphertext length +data State + = State + !ChaCha.State + !Poly1305.State + !Word64 -- AAD length + !Word64 -- ciphertext length +-- | A ChaChaPoly1305 State. +type ChaCha20Poly1305 = State + -- | Valid Nonce for ChaChaPoly1305. -- -- It can be created with 'nonce8' or 'nonce12' data Nonce = Nonce8 Bytes | Nonce12 Bytes instance ByteArrayAccess Nonce where - length (Nonce8 n) = B.length n - length (Nonce12 n) = B.length n + length (Nonce8 n) = B.length n + length (Nonce12 n) = B.length n - withByteArray (Nonce8 n) = B.withByteArray n - withByteArray (Nonce12 n) = B.withByteArray n + withByteArray (Nonce8 n) = B.withByteArray n + withByteArray (Nonce12 n) = B.withByteArray n -- | Extended nonce for XChaChaPoly1305. newtype XNonce = Nonce24 Bytes instance ByteArrayAccess XNonce where - length (Nonce24 n) = B.length n - withByteArray (Nonce24 n) = B.withByteArray n - + length (Nonce24 n) = B.length n + withByteArray (Nonce24 n) = B.withByteArray n -- Based on the following pseudo code: -- @@ -108,7 +127,7 @@ pad16 :: Word64 -> Bytes pad16 n | modLen == 0 = B.empty - | otherwise = B.replicate (16 - modLen) 0 + | otherwise = B.replicate (16 - modLen) 0 where modLen = fromIntegral (n `mod` 16) @@ -116,78 +135,83 @@ nonce12 :: ByteArrayAccess iv => iv -> CryptoFailable Nonce nonce12 iv | B.length iv /= 12 = CryptoFailed CryptoError_IvSizeInvalid - | otherwise = CryptoPassed . Nonce12 . B.convert $ iv + | otherwise = CryptoPassed . Nonce12 . B.convert $ iv -- | 8 bytes IV, nonce constructor -nonce8 :: ByteArrayAccess ba - => ba -- ^ 4 bytes constant - -> ba -- ^ 8 bytes IV - -> CryptoFailable Nonce +nonce8 + :: ByteArrayAccess ba + => ba + -- ^ 4 bytes constant + -> ba + -- ^ 8 bytes IV + -> CryptoFailable Nonce nonce8 constant iv | B.length constant /= 4 = CryptoFailed CryptoError_IvSizeInvalid - | B.length iv /= 8 = CryptoFailed CryptoError_IvSizeInvalid - | otherwise = CryptoPassed . Nonce8 . B.concat $ [constant, iv] + | B.length iv /= 8 = CryptoFailed CryptoError_IvSizeInvalid + | otherwise = CryptoPassed . Nonce8 . B.concat $ [constant, iv] -- | 24 bytes IV, extended nonce constructor -nonce24 :: ByteArrayAccess ba - => ba -> CryptoFailable XNonce +nonce24 + :: ByteArrayAccess ba + => ba -> CryptoFailable XNonce nonce24 iv | B.length iv /= 24 = CryptoFailed CryptoError_IvSizeInvalid - | otherwise = CryptoPassed . Nonce24 . B.convert $ iv + | otherwise = CryptoPassed . Nonce24 . B.convert $ iv -- | Increment a nonce incrementNonce :: Nonce -> Nonce -incrementNonce (Nonce8 n) = Nonce8 $ incrementNonce' n 4 +incrementNonce (Nonce8 n) = Nonce8 $ incrementNonce' n 4 incrementNonce (Nonce12 n) = Nonce12 $ incrementNonce' n 0 incrementNonce' :: Bytes -> Int -> Bytes incrementNonce' b offset = B.copyAndFreeze b $ \s -> loop s (s `plusPtr` offset) - where - loop :: Ptr Word8 -> Ptr Word8 -> IO () - loop s p - | s == (p `plusPtr` (B.length b - offset - 1)) = peek s >>= poke s . (+) 1 - | otherwise = do - r <- (+) 1 <$> peek p - poke p r - when (r == 0) $ loop s (p `plusPtr` 1) + where + loop :: Ptr Word8 -> Ptr Word8 -> IO () + loop s p + | s == (p `plusPtr` (B.length b - offset - 1)) = peek s >>= poke s . (+) 1 + | otherwise = do + r <- (+) 1 <$> peek p + poke p r + when (r == 0) $ loop s (p `plusPtr` 1) -- | Initialize a new ChaChaPoly1305 State -- -- The key length need to be 256 bits, and the nonce -- procured using either `nonce8` or `nonce12` -initialize :: ByteArrayAccess key - => key -> Nonce -> CryptoFailable State -initialize key (Nonce8 nonce) = initialize' key nonce -initialize key (Nonce12 nonce) = initialize' key nonce +-- | A ChaCha20Poly1305 key: thirty-two bytes, checked once here rather than +-- at every use, so that 'initialize' and 'initializeX' cannot fail. +newtype Key = Key ScrubbedBytes + deriving (ByteArrayAccess, Eq, NFData) +-- | Take thirty-two bytes for a key. A different length is reported as +-- 'CryptoError_KeySizeInvalid'; nothing else about a key can be wrong. +key :: ByteArrayAccess ba => ba -> CryptoFailable Key +key k + | B.length k /= 32 = CryptoFailed CryptoError_KeySizeInvalid + | otherwise = CryptoPassed $ Key $ B.convert k -initialize' :: ByteArrayAccess key - => key -> Bytes -> CryptoFailable State -initialize' key nonce - | B.length key /= 32 = CryptoFailed CryptoError_KeySizeInvalid - | otherwise = CryptoPassed $ initFromRootState rootState - where rootState = ChaCha.initialize 20 key nonce +initialize :: Key -> Nonce -> State +initialize k (Nonce8 nonce) = initialize' k nonce +initialize k (Nonce12 nonce) = initialize' k nonce +initialize' :: Key -> Bytes -> State +initialize' k nonce = initFromRootState (ChaCha.initialize 20 k nonce) initFromRootState :: ChaCha.State -> State initFromRootState rootState = State encState polyState 0 0 where (polyKey, encState) = ChaCha.generate rootState 64 - polyState = throwCryptoError $ Poly1305.initialize (B.take 32 polyKey :: ScrubbedBytes) - + -- 64 bytes are generated so the ChaCha state advances a whole block, and + -- the first 32 of them are the key, so there is no length left to check + polyState = Poly1305.initialize (PolyKey.Key (B.take 32 polyKey)) -- | Initialize a new XChaChaPoly1305 State -- -- The key length needs to be 256 bits, and the nonce -- procured using `nonce24`. -initializeX :: ByteArrayAccess key - => key -> XNonce -> CryptoFailable State -initializeX key (Nonce24 nonce) - | B.length key /= 32 = CryptoFailed CryptoError_KeySizeInvalid - | otherwise = CryptoPassed $ initFromRootState rootState - where rootState = ChaCha.initializeX 20 key nonce - +initializeX :: Key -> XNonce -> State +initializeX k (Nonce24 nonce) = initFromRootState (ChaCha.initializeX 20 k nonce) -- | Append Authenticated Data to the State and return -- the new modified State. @@ -199,7 +223,7 @@ State encState newMacState newLength plainLength where newMacState = Poly1305.update macState ba - newLength = aadLength + fromIntegral (B.length ba) + newLength = aadLength + fromIntegral (B.length ba) -- | Finalize the Authenticated Data and return the finalized State finalizeAAD :: State -> State @@ -215,8 +239,8 @@ (output, State newEncState newMacState aadLength newPlainLength) where (output, newEncState) = ChaCha.combine encState input - newMacState = Poly1305.update macState output - newPlainLength = plainLength + fromIntegral (B.length input) + newMacState = Poly1305.update macState output + newPlainLength = plainLength + fromIntegral (B.length input) -- | Decrypt a piece of data and returns the decrypted Data and the -- updated State. @@ -225,13 +249,32 @@ (output, State newEncState newMacState aadLength newPlainLength) where (output, newEncState) = ChaCha.combine encState input - newMacState = Poly1305.update macState input - newPlainLength = plainLength + fromIntegral (B.length input) + newMacState = Poly1305.update macState input + newPlainLength = plainLength + fromIntegral (B.length input) -- | Generate an authentication tag from the State. finalize :: State -> Poly1305.Auth finalize (State _ macState aadLength plainLength) = - Poly1305.finalize $ Poly1305.updates macState - [ pad16 plainLength - , either (error "finalize: internal error") id $ P.fill 16 (P.putStorable (toLE aadLength) >> P.putStorable (toLE plainLength)) - ] + Poly1305.finalize $ + Poly1305.updates + macState + [ pad16 plainLength + , either (error "finalize: internal error") id $ + P.fill 16 (P.putStorable (toLE aadLength) >> P.putStorable (toLE plainLength)) + ] + +-- | Setting up AEAD for ChaCha20Poly1305. +aeadChacha20poly1305Init + :: (ByteArrayAccess k, ByteArrayAccess n) + => k -> n -> CryptoFailable (AEAD ChaCha20Poly1305) +aeadChacha20poly1305Init k nonce = do + st0 <- initialize <$> key k <*> nonce12 nonce + return $ AEAD model st0 + where + model = + AEADModeImpl + { aeadImplAppendHeader = \st aad -> finalizeAAD $ appendAAD aad st + , aeadImplEncrypt = \st plain -> encrypt plain st + , aeadImplDecrypt = \st cipher -> decrypt cipher st + , aeadImplFinalize = \st _ -> let Poly1305.Auth tag = finalize st in AuthTag tag + } diff --git a/Crypto/Cipher/DES.hs b/Crypto/Cipher/DES.hs --- a/Crypto/Cipher/DES.hs +++ b/Crypto/Cipher/DES.hs @@ -5,35 +5,34 @@ -- Stability : stable -- Portability : good -- -module Crypto.Cipher.DES - ( DES - ) where +-- DES, which is here because callers still meet it rather than because it +-- should be chosen: its 56-bit key is exhaustible. Prefer "Crypto.Cipher.AES". +module Crypto.Cipher.DES ( + DES, +) where -import Data.Word -import Crypto.Error -import Crypto.Cipher.Types -import Crypto.Cipher.DES.Primitive -import Crypto.Internal.ByteArray (ByteArrayAccess) +import Crypto.Cipher.DES.Primitive +import Crypto.Cipher.Types +import Crypto.Error +import Crypto.Internal.ByteArray (ByteArrayAccess) import qualified Crypto.Internal.ByteArray as B -import Data.Memory.Endian -- | DES Context -data DES = DES Word64 +data DES = DES Schedule Schedule deriving (Eq) instance Cipher DES where - cipherName _ = "DES" + cipherName _ = "DES" cipherKeySize _ = KeySizeFixed 8 - cipherInit k = initDES k + cipherInit k = initDES k instance BlockCipher DES where blockSize _ = 8 - ecbEncrypt (DES key) = B.mapAsWord64 (unBlock . encrypt key . Block) - ecbDecrypt (DES key) = B.mapAsWord64 (unBlock . decrypt key . Block) + ecbEncrypt (DES enc _) = ecb enc + ecbDecrypt (DES _ dec) = ecb dec initDES :: ByteArrayAccess key => key -> CryptoFailable DES initDES k - | len == 8 = CryptoPassed $ DES key - | otherwise = CryptoFailed $ CryptoError_KeySizeInvalid - where len = B.length k - key = fromBE $ B.toW64BE k 0 + | B.length k == 8 = + CryptoPassed $ DES (schedule [(Encrypt, k)]) (schedule [(Decrypt, k)]) + | otherwise = CryptoFailed CryptoError_KeySizeInvalid diff --git a/Crypto/Cipher/DES/Primitive.hs b/Crypto/Cipher/DES/Primitive.hs --- a/Crypto/Cipher/DES/Primitive.hs +++ b/Crypto/Cipher/DES/Primitive.hs @@ -1,223 +1,83 @@ -{-# LANGUAGE FlexibleInstances #-} +{-# LANGUAGE ForeignFunctionInterface #-} ------------------------------------------------------------------------------ -- | --- Module : Crypto.Cipher.DES.Primitive --- License : BSD-style +-- Module : Crypto.Cipher.DES.Primitive +-- License : BSD-style +-- Stability : experimental +-- Portability : Good -- --- This module is copy of DES module from Crypto package. --- http://hackage.haskell.org/package/Crypto +-- The DES block operation, as FIPS 46-3 defines it, over the C in +-- @cbits/crypton_des.c@. -- ------------------------------------------------------------------------------ - - -module Crypto.Cipher.DES.Primitive - ( encrypt - , decrypt - , Block(..) - ) where +-- A t'Schedule' holds the round keys of one or more stages in the order they +-- are applied, which is what lets single DES and the three stage constructions +-- share one entry point. +module Crypto.Cipher.DES.Primitive ( + Schedule, + Direction (..), + schedule, + ecb, +) where +import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess, Bytes) +import qualified Crypto.Internal.ByteArray as B +import Crypto.Internal.Compat (unsafeDoIO) import Data.Word -import Data.Bits - --- | a DES block (64 bits) -newtype Block = Block { unBlock :: Word64 } - -type Rotation = Int -type Key = Word64 - -type Bits4 = [Bool] -type Bits6 = [Bool] -type Bits32 = [Bool] -type Bits48 = [Bool] -type Bits56 = [Bool] -type Bits64 = [Bool] - -desXor :: [Bool] -> [Bool] -> [Bool] -desXor a b = zipWith (/=) a b - -desRotate :: [Bool] -> Int -> [Bool] -desRotate bits rot = drop rot' bits ++ take rot' bits - where rot' = rot `mod` length bits - -bitify :: Word64 -> Bits64 -bitify w = map (\b -> w .&. (shiftL 1 b) /= 0) [63,62..0] - -unbitify :: Bits64 -> Word64 -unbitify bs = foldl (\i b -> if b then 1 + shiftL i 1 else shiftL i 1) 0 bs - -initial_permutation :: Bits64 -> Bits64 -initial_permutation mb = map ((!!) mb) i - where i = [57, 49, 41, 33, 25, 17, 9, 1, 59, 51, 43, 35, 27, 19, 11, 3, - 61, 53, 45, 37, 29, 21, 13, 5, 63, 55, 47, 39, 31, 23, 15, 7, - 56, 48, 40, 32, 24, 16, 8, 0, 58, 50, 42, 34, 26, 18, 10, 2, - 60, 52, 44, 36, 28, 20, 12, 4, 62, 54, 46, 38, 30, 22, 14, 6] - -{- -"\x39\x31\x29\x21\x19\x11\x09\x01\x3b\x33\x2b\x23\x1b\x13\ -\\x0b\x03\x3d\x35\x2d\x25\x1d\x15\x0d\x05\x3f\x37\x2f\x27\ -\\x1f\x17\x0f\x07\x38\x30\x28\x20\x18\x10\x08\x00\x3a\x32\ -\\x2a\x22\x1a\x12\x0a\x02\x3c\x34\x2c\x24\x1c\x14\x0c\x04\ -\\x3e\x36\x2e\x26\x1e\x16\x0e\x06" --} - -key_transformation :: Bits64 -> Bits56 -key_transformation kb = map ((!!) kb) i - where i = [56, 48, 40, 32, 24, 16, 8, 0, 57, 49, 41, 33, 25, 17, - 9, 1, 58, 50, 42, 34, 26, 18, 10, 2, 59, 51, 43, 35, - 62, 54, 46, 38, 30, 22, 14, 6, 61, 53, 45, 37, 29, 21, - 13, 5, 60, 52, 44, 36, 28, 20, 12, 4, 27, 19, 11, 3] -{- -"\x38\x30\x28\x20\x18\x10\x08\x00\x39\x31\x29\x21\x19\x11\ -\\x09\x01\x3a\x32\x2a\x22\x1a\x12\x0a\x02\x3b\x33\x2b\x23\ -\\x3e\x36\x2e\x26\x1e\x16\x0e\x06\x3d\x35\x2d\x25\x1d\x15\ -\\x0d\x05\x3c\x34\x2c\x24\x1c\x14\x0c\x04\x1b\x13\x0b\x03" --} - - -des_enc :: Block -> Key -> Block -des_enc = do_des [1,2,4,6,8,10,12,14,15,17,19,21,23,25,27,28] - -des_dec :: Block -> Key -> Block -des_dec = do_des [28,27,25,23,21,19,17,15,14,12,10,8,6,4,2,1] - -do_des :: [Rotation] -> Block -> Key -> Block -do_des rots (Block m) k = Block $ des_work rots (takeDrop 32 mb) kb - where kb = key_transformation $ bitify k - mb = initial_permutation $ bitify m - -des_work :: [Rotation] -> (Bits32, Bits32) -> Bits56 -> Word64 -des_work [] (ml, mr) _ = unbitify $ final_perm $ (mr ++ ml) -des_work (r:rs) mb kb = des_work rs mb' kb - where mb' = do_round r mb kb - -do_round :: Rotation -> (Bits32, Bits32) -> Bits56 -> (Bits32, Bits32) -do_round r (ml, mr) kb = (mr, m') - where kb' = get_key kb r - comp_kb = compression_permutation kb' - expa_mr = expansion_permutation mr - res = comp_kb `desXor` expa_mr - res' = tail $ iterate (trans 6) ([], res) - trans n (_, b) = (take n b, drop n b) - res_s = concat $ zipWith (\f (x,_) -> f x) [s_box_1, s_box_2, - s_box_3, s_box_4, - s_box_5, s_box_6, - s_box_7, s_box_8] res' - res_p = p_box res_s - m' = res_p `desXor` ml - -get_key :: Bits56 -> Rotation -> Bits56 -get_key kb r = kb' - where (kl, kr) = takeDrop 28 kb - kb' = desRotate kl r ++ desRotate kr r - -compression_permutation :: Bits56 -> Bits48 -compression_permutation kb = map ((!!) kb) i - where i = [13, 16, 10, 23, 0, 4, 2, 27, 14, 5, 20, 9, - 22, 18, 11, 3, 25, 7, 15, 6, 26, 19, 12, 1, - 40, 51, 30, 36, 46, 54, 29, 39, 50, 44, 32, 47, - 43, 48, 38, 55, 33, 52, 45, 41, 49, 35, 28, 31] - -expansion_permutation :: Bits32 -> Bits48 -expansion_permutation mb = map ((!!) mb) i - where i = [31, 0, 1, 2, 3, 4, 3, 4, 5, 6, 7, 8, - 7, 8, 9, 10, 11, 12, 11, 12, 13, 14, 15, 16, - 15, 16, 17, 18, 19, 20, 19, 20, 21, 22, 23, 24, - 23, 24, 25, 26, 27, 28, 27, 28, 29, 30, 31, 0] - -s_box :: [[Word8]] -> Bits6 -> Bits4 -s_box s [a,b,c,d,e,f] = to_bool 4 $ (s !! row) !! col - where row = sum $ zipWith numericise [a,f] [1, 0] - col = sum $ zipWith numericise [b,c,d,e] [3, 2, 1, 0] - numericise :: Bool -> Int -> Int - numericise = (\x y -> if x then 2^y else 0) - - to_bool :: Int -> Word8 -> [Bool] - to_bool 0 _ = [] - to_bool n i = ((i .&. 8) == 8):to_bool (n-1) (shiftL i 1) -s_box _ _ = error "DES: internal error bits6 more than 6 elements" - -s_box_1 :: Bits6 -> Bits4 -s_box_1 = s_box i - where i = [[14, 4, 13, 1, 2, 15, 11, 8, 3, 10, 6, 12, 5, 9, 0, 7], - [ 0, 15, 7, 4, 14, 2, 13, 1, 10, 6, 12, 11, 9, 5, 3, 8], - [ 4, 1, 14, 8, 13, 6, 2, 11, 15, 12, 9, 7, 3, 10, 5, 0], - [15, 12, 8, 2, 4, 9, 1, 7, 5, 11, 3, 14, 10, 0, 6, 13]] - -s_box_2 :: Bits6 -> Bits4 -s_box_2 = s_box i - where i = [[15, 1, 8, 14, 6, 11, 3, 4, 9, 7, 2, 13, 12, 0, 5, 10], - [3, 13, 4, 7, 15, 2, 8, 14, 12, 0, 1, 10, 6, 9, 11, 5], - [0, 14, 7, 11, 10, 4, 13, 1, 5, 8, 12, 6, 9, 3, 2, 15], - [13, 8, 10, 1, 3, 15, 4, 2, 11, 6, 7, 12, 0, 5, 14, 9]] - -s_box_3 :: Bits6 -> Bits4 -s_box_3 = s_box i - where i = [[10, 0, 9, 14 , 6, 3, 15, 5, 1, 13, 12, 7, 11, 4, 2, 8], - [13, 7, 0, 9, 3, 4, 6, 10, 2, 8, 5, 14, 12, 11, 15, 1], - [13, 6, 4, 9, 8, 15, 3, 0, 11, 1, 2, 12, 5, 10, 14, 7], - [1, 10, 13, 0, 6, 9, 8, 7, 4, 15, 14, 3, 11, 5, 2, 12]] - -s_box_4 :: Bits6 -> Bits4 -s_box_4 = s_box i - where i = [[7, 13, 14, 3, 0, 6, 9, 10, 1, 2, 8, 5, 11, 12, 4, 15], - [13, 8, 11, 5, 6, 15, 0, 3, 4, 7, 2, 12, 1, 10, 14, 9], - [10, 6, 9, 0, 12, 11, 7, 13, 15, 1, 3, 14, 5, 2, 8, 4], - [3, 15, 0, 6, 10, 1, 13, 8, 9, 4, 5, 11, 12, 7, 2, 14]] - -s_box_5 :: Bits6 -> Bits4 -s_box_5 = s_box i - where i = [[2, 12, 4, 1, 7, 10, 11, 6, 8, 5, 3, 15, 13, 0, 14, 9], - [14, 11, 2, 12, 4, 7, 13, 1, 5, 0, 15, 10, 3, 9, 8, 6], - [4, 2, 1, 11, 10, 13, 7, 8, 15, 9, 12, 5, 6, 3, 0, 14], - [11, 8, 12, 7, 1, 14, 2, 13, 6, 15, 0, 9, 10, 4, 5, 3]] - -s_box_6 :: Bits6 -> Bits4 -s_box_6 = s_box i - where i = [[12, 1, 10, 15, 9, 2, 6, 8, 0, 13, 3, 4, 14, 7, 5, 11], - [10, 15, 4, 2, 7, 12, 9, 5, 6, 1, 13, 14, 0, 11, 3, 8], - [9, 14, 15, 5, 2, 8, 12, 3, 7, 0, 4, 10, 1, 13, 11, 6], - [4, 3, 2, 12, 9, 5, 15, 10, 11, 14, 1, 7, 6, 0, 8, 13]] +import Foreign.C.Types (CInt (..)) +import Foreign.Ptr (Ptr, plusPtr) -s_box_7 :: Bits6 -> Bits4 -s_box_7 = s_box i - where i = [[4, 11, 2, 14, 15, 0, 8, 13, 3, 12, 9, 7, 5, 10, 6, 1], - [13, 0, 11, 7, 4, 9, 1, 10, 14, 3, 5, 12, 2, 15, 8, 6], - [1, 4, 11, 13, 12, 3, 7, 14, 10, 15, 6, 8, 0, 5, 9, 2], - [6, 11, 13, 8, 1, 4, 10, 7, 9, 5, 0, 15, 14, 2, 3, 12]] +-- | Which way a stage runs. +data Direction = Encrypt | Decrypt + deriving (Show, Eq) -s_box_8 :: Bits6 -> Bits4 -s_box_8 = s_box i - where i = [[13, 2, 8, 4, 6, 15, 11, 1, 10, 9, 3, 14, 5, 0, 12, 7], - [1, 15, 13, 8, 10, 3, 7, 4, 12, 5, 6, 11, 0, 14, 9, 2], - [7, 11, 4, 1, 9, 12, 14, 2, 0, 6, 10, 13, 15, 3, 5, 8], - [2, 1, 14, 7, 4, 10, 8, 13, 15, 12, 9, 0, 3, 5, 6, 11]] +-- | The round keys of one or more stages, in the order they are applied. +newtype Schedule = Schedule Bytes + deriving (Eq) -p_box :: Bits32 -> Bits32 -p_box kb = map ((!!) kb) i - where i = [15, 6, 19, 20, 28, 11, 27, 16, 0, 14, 22, 25, 4, 17, 30, 9, - 1, 7, 23, 13, 31, 26, 2, 8, 18, 12, 29, 5, 21, 10, 3, 24] +-- | Bytes per stage: sixteen rounds of eight six-bit values. +stageSize :: Int +stageSize = 16 * 8 -final_perm :: Bits64 -> Bits64 -final_perm kb = map ((!!) kb) i - where i = [39, 7, 47, 15, 55, 23, 63, 31, 38, 6, 46, 14, 54, 22, 62, 30, - 37, 5, 45, 13, 53, 21, 61, 29, 36, 4, 44, 12, 52, 20, 60, 28, - 35, 3, 43, 11, 51, 19, 59, 27, 34, 2, 42, 10, 50, 18, 58, 26, - 33, 1, 41, 9, 49, 17, 57, 25, 32, 0, 40 , 8, 48, 16, 56, 24] +-- | The block size DES works in. +blockBytes :: Int +blockBytes = 8 -takeDrop :: Int -> [a] -> ([a], [a]) -takeDrop _ [] = ([], []) -takeDrop 0 xs = ([], xs) -takeDrop n (x:xs) = (x:ys, zs) - where (ys, zs) = takeDrop (n-1) xs +-- | Build the schedule for a sequence of stages, each an eight byte key and +-- the direction that stage runs in. Shorter keys are rejected by the callers, +-- which know their own size; the bytes past the eighth are not read. +schedule :: ByteArrayAccess key => [(Direction, key)] -> Schedule +schedule stages = + Schedule $ B.allocAndFreeze (stageSize * length stages) $ \dst -> + mapM_ (uncurry (one dst)) (zip [0 ..] stages) + where + one dst i (dir, key) = + B.withByteArray key $ \k -> + c_des_init (dst `plusPtr` (i * stageSize)) k (reverseFlag dir) + reverseFlag Encrypt = 0 + reverseFlag Decrypt = 1 +-- | Apply every stage of the schedule, in order, to each block of the input. +ecb :: ByteArray ba => Schedule -> ba -> ba +ecb (Schedule sched) input + | len `mod` blockBytes /= 0 = + error $ + "Crypto.Cipher.DES: input length must be a multiple of block size (8). Its length is: " + ++ show len + | otherwise = unsafeDoIO $ + B.alloc len $ \out -> + B.withByteArray sched $ \ks -> + B.withByteArray input $ \inp -> + c_des_ecb + out + ks + (fromIntegral (B.length sched `div` stageSize)) + inp + (fromIntegral (len `div` blockBytes)) + where + len = B.length input --- | Basic DES encryption which takes a key and a block of plaintext --- and returns the encrypted block of ciphertext according to the standard. -encrypt :: Word64 -> Block -> Block -encrypt = flip des_enc +foreign import ccall unsafe "crypton_des.h crypton_des_init" + c_des_init :: Ptr Word8 -> Ptr Word8 -> CInt -> IO () --- | Basic DES decryption which takes a key and a block of ciphertext and --- returns the decrypted block of plaintext according to the standard. -decrypt :: Word64 -> Block -> Block -decrypt = flip des_dec +foreign import ccall unsafe "crypton_des.h crypton_des_ecb" + c_des_ecb :: Ptr Word8 -> Ptr Word8 -> Word32 -> Ptr Word8 -> Word32 -> IO () diff --git a/Crypto/Cipher/RC4.hs b/Crypto/Cipher/RC4.hs --- a/Crypto/Cipher/RC4.hs +++ b/Crypto/Cipher/RC4.hs @@ -1,3 +1,6 @@ +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + -- | -- Module : Crypto.Cipher.RC4 -- License : BSD-style @@ -11,23 +14,24 @@ -- Initial FFI implementation by Peter White -- -- Reorganized and simplified to have an opaque context. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -module Crypto.Cipher.RC4 - ( initialize - , combine - , generate - , State - ) where +module Crypto.Cipher.RC4 ( + initialize, + combine, + generate, + State, +) where -import Data.Word -import Foreign.Ptr -import Crypto.Internal.ByteArray (ScrubbedBytes, ByteArray, ByteArrayAccess) +import Crypto.Internal.ByteArray ( + ByteArray, + ByteArrayAccess, + ScrubbedBytes, + ) import qualified Crypto.Internal.ByteArray as B +import Data.Word +import Foreign.Ptr -import Crypto.Internal.Compat -import Crypto.Internal.Imports +import Crypto.Internal.Compat +import Crypto.Internal.Imports -- | The encryption state for RC4 -- @@ -36,29 +40,41 @@ -- and change in future versions. The bytearray should not be used as input to -- cryptographic algorithms. newtype State = State ScrubbedBytes - deriving (ByteArrayAccess,NFData) + deriving (ByteArrayAccess, NFData) -- | C Call for initializing the encryptor foreign import ccall unsafe "crypton_rc4.h crypton_rc4_init" - c_rc4_init :: Ptr Word8 -- ^ The rc4 key - -> Word32 -- ^ The key length - -> Ptr State -- ^ The context - -> IO () + c_rc4_init + :: Ptr Word8 + -- ^ The rc4 key + -> Word32 + -- ^ The key length + -> Ptr State + -- ^ The context + -> IO () foreign import ccall unsafe "crypton_rc4.h crypton_rc4_combine" - c_rc4_combine :: Ptr State -- ^ Pointer to the permutation - -> Ptr Word8 -- ^ Pointer to the clear text - -> Word32 -- ^ Length of the clear text - -> Ptr Word8 -- ^ Output buffer - -> IO () + c_rc4_combine + :: Ptr State + -- ^ Pointer to the permutation + -> Ptr Word8 + -- ^ Pointer to the clear text + -> Word32 + -- ^ Length of the clear text + -> Ptr Word8 + -- ^ Output buffer + -> IO () -- | RC4 context initialization. -- -- seed the context with an initial key. the key size need to be -- adequate otherwise security takes a hit. -initialize :: ByteArrayAccess key - => key -- ^ The key - -> State -- ^ The RC4 context with the key mixed in +initialize + :: ByteArrayAccess key + => key + -- ^ The key + -> State + -- ^ The RC4 context with the key mixed in initialize key = unsafeDoIO $ do st <- B.alloc 264 $ \stPtr -> B.withByteArray key $ \keyPtr -> c_rc4_init keyPtr (fromIntegral $ B.length key) (castPtr stPtr) @@ -70,15 +86,27 @@ generate ctx len = combine ctx (B.zero len) -- | RC4 xor combination of the rc4 stream with an input -combine :: ByteArray ba - => State -- ^ rc4 context - -> ba -- ^ input - -> (State, ba) -- ^ new rc4 context, and the output +combine + :: ByteArray ba + => State + -- ^ rc4 context + -> ba + -- ^ input + -> (State, ba) + -- ^ new rc4 context, and the output combine (State prevSt) clearText = unsafeDoIO $ - B.allocRet len $ \outptr -> - B.withByteArray clearText $ \clearPtr -> do - st <- B.copy prevSt $ \stPtr -> - c_rc4_combine (castPtr stPtr) clearPtr (fromIntegral len) outptr - return $! State st - --return $! (State st, B.PS outfptr 0 len) - where len = B.length clearText + B.allocRet len $ \outptr -> + B.withByteArray clearText $ \clearPtr -> do + st <- B.copy prevSt $ \stPtr -> + -- in pieces the C's uint32_t length can hold; the state it + -- keeps means it can simply be called again + B.inCLengths len $ \off n -> + c_rc4_combine + (castPtr stPtr) + (clearPtr `plusPtr` off) + (fromIntegral n) + (outptr `plusPtr` off) + return $! State st + where + -- return $! (State st, B.PS outfptr 0 len) + len = B.length clearText diff --git a/Crypto/Cipher/Salsa.hs b/Crypto/Cipher/Salsa.hs --- a/Crypto/Cipher/Salsa.hs +++ b/Crypto/Cipher/Salsa.hs @@ -1,25 +1,29 @@ +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + -- | -- Module : Crypto.Cipher.Salsa -- License : BSD-style -- Maintainer : Vincent Hanquez -- Stability : stable -- Portability : good --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -module Crypto.Cipher.Salsa - ( initialize - , combine - , generate - , State(..) - ) where +module Crypto.Cipher.Salsa ( + initialize, + combine, + generate, + State (..), +) where -import Crypto.Internal.ByteArray (ByteArrayAccess, ByteArray, ScrubbedBytes) +import Crypto.Internal.ByteArray ( + ByteArray, + ByteArrayAccess, + ScrubbedBytes, + ) import qualified Crypto.Internal.ByteArray as B -import Crypto.Internal.Compat -import Crypto.Internal.Imports -import Foreign.Ptr -import Foreign.C.Types +import Crypto.Internal.Compat +import Crypto.Internal.Imports +import Foreign.C.Types +import Foreign.Ptr -- | Salsa context newtype State = State ScrubbedBytes @@ -27,54 +31,82 @@ -- | Initialize a new Salsa context with the number of rounds, -- the key and the nonce associated. -initialize :: (ByteArrayAccess key, ByteArrayAccess nonce) - => Int -- ^ number of rounds (8,12,20) - -> key -- ^ the key (128 or 256 bits) - -> nonce -- ^ the nonce (64 or 96 bits) - -> State -- ^ the initial Salsa state +initialize + :: (ByteArrayAccess key, ByteArrayAccess nonce) + => Int + -- ^ number of rounds (8,12,20) + -> key + -- ^ the key (128 or 256 bits) + -> nonce + -- ^ the nonce (64 or 96 bits) + -> State + -- ^ the initial Salsa state initialize nbRounds key nonce - | kLen `notElem` [16,32] = error "Salsa: key length should be 128 or 256 bits" - | nonceLen `notElem` [8,12] = error "Salsa: nonce length should be 64 or 96 bits" - | nbRounds `notElem` [8,12,20] = error "Salsa: rounds should be 8, 12 or 20" + | kLen `notElem` [16, 32] = + error "Salsa: key length should be 128 or 256 bits" + | nonceLen `notElem` [8, 12] = + error "Salsa: nonce length should be 64 or 96 bits" + | nbRounds `notElem` [8, 12, 20] = error "Salsa: rounds should be 8, 12 or 20" | otherwise = unsafeDoIO $ do stPtr <- B.alloc 132 $ \stPtr -> - B.withByteArray nonce $ \noncePtr -> - B.withByteArray key $ \keyPtr -> - ccrypton_salsa_init stPtr nbRounds kLen keyPtr nonceLen noncePtr + B.withByteArray nonce $ \noncePtr -> + B.withByteArray key $ \keyPtr -> + ccrypton_salsa_init stPtr nbRounds kLen keyPtr nonceLen noncePtr return $ State stPtr - where kLen = B.length key - nonceLen = B.length nonce + where + kLen = B.length key + nonceLen = B.length nonce -- | Combine the salsa output and an arbitrary message with a xor, -- and return the combined output and the new state. -combine :: ByteArray ba - => State -- ^ the current Salsa state - -> ba -- ^ the source to xor with the generator - -> (ba, State) +combine + :: ByteArray ba + => State + -- ^ the current Salsa state + -> ba + -- ^ the source to xor with the generator + -> (ba, State) combine prevSt@(State prevStMem) src | B.null src = (B.empty, prevSt) - | otherwise = unsafeDoIO $ do + | otherwise = unsafeDoIO $ do (out, st) <- B.copyRet prevStMem $ \ctx -> - B.alloc (B.length src) $ \dstPtr -> - B.withByteArray src $ \srcPtr -> do - ccrypton_salsa_combine dstPtr ctx srcPtr (fromIntegral $ B.length src) + B.alloc n $ \dstPtr -> + B.withByteArray src $ \srcPtr -> + -- in pieces the C's uint32_t length can hold; it carries + -- the state in ctx, so it can simply be called again + B.inCLengths n $ \off len -> + ccrypton_salsa_combine + (dstPtr `plusPtr` off) + ctx + (srcPtr `plusPtr` off) + (fromIntegral len) return (out, State st) + where + n = B.length src -- | Generate a number of bytes from the Salsa output directly -generate :: ByteArray ba - => State -- ^ the current Salsa state - -> Int -- ^ the length of data to generate - -> (ba, State) +generate + :: ByteArray ba + => State + -- ^ the current Salsa state + -> Int + -- ^ the length of data to generate + -> (ba, State) generate prevSt@(State prevStMem) len - | len <= 0 = (B.empty, prevSt) + | len <= 0 = (B.empty, prevSt) | otherwise = unsafeDoIO $ do (out, st) <- B.copyRet prevStMem $ \ctx -> B.alloc len $ \dstPtr -> - ccrypton_salsa_generate dstPtr ctx (fromIntegral len) + B.inCLengths len $ \off n -> + ccrypton_salsa_generate + (dstPtr `plusPtr` off) + ctx + (fromIntegral n) return (out, State st) foreign import ccall "crypton_salsa_init" - ccrypton_salsa_init :: Ptr State -> Int -> Int -> Ptr Word8 -> Int -> Ptr Word8 -> IO () + ccrypton_salsa_init + :: Ptr State -> Int -> Int -> Ptr Word8 -> Int -> Ptr Word8 -> IO () foreign import ccall "crypton_salsa_combine" ccrypton_salsa_combine :: Ptr Word8 -> Ptr State -> Ptr Word8 -> CUInt -> IO () diff --git a/Crypto/Cipher/TripleDES.hs b/Crypto/Cipher/TripleDES.hs --- a/Crypto/Cipher/TripleDES.hs +++ b/Crypto/Cipher/TripleDES.hs @@ -3,88 +3,114 @@ -- License : BSD-style -- Stability : experimental -- Portability : ??? - -module Crypto.Cipher.TripleDES - ( DES_EEE3 - , DES_EDE3 - , DES_EEE2 - , DES_EDE2 - ) where +module Crypto.Cipher.TripleDES ( + DES_EEE3, + DES_EDE3, + DES_EEE2, + DES_EDE2, +) where -import Data.Word -import Crypto.Error -import Crypto.Cipher.Types -import Crypto.Cipher.DES.Primitive -import Crypto.Internal.ByteArray (ByteArrayAccess) +import Crypto.Cipher.DES.Primitive +import Crypto.Cipher.Types +import Crypto.Error +import Crypto.Internal.ByteArray (ByteArrayAccess, ScrubbedBytes) import qualified Crypto.Internal.ByteArray as B -import Data.Memory.Endian -- | 3DES with 3 different keys used all in the same direction -data DES_EEE3 = DES_EEE3 Word64 Word64 Word64 +data DES_EEE3 = DES_EEE3 Schedule Schedule deriving (Eq) -- | 3DES with 3 different keys used in alternative direction -data DES_EDE3 = DES_EDE3 Word64 Word64 Word64 +data DES_EDE3 = DES_EDE3 Schedule Schedule deriving (Eq) -- | 3DES where the first and third keys are equal, used in the same direction -data DES_EEE2 = DES_EEE2 Word64 Word64 -- key1 and key3 are equal +data DES_EEE2 = DES_EEE2 Schedule Schedule deriving (Eq) -- | 3DES where the first and third keys are equal, used in alternative direction -data DES_EDE2 = DES_EDE2 Word64 Word64 -- key1 and key3 are equal +data DES_EDE2 = DES_EDE2 Schedule Schedule deriving (Eq) instance Cipher DES_EEE3 where - cipherName _ = "3DES_EEE" + cipherName _ = "3DES_EEE" cipherKeySize _ = KeySizeFixed 24 - cipherInit k = init3DES DES_EEE3 k + cipherInit k = init3DES DES_EEE3 Encrypt k instance Cipher DES_EDE3 where - cipherName _ = "3DES_EDE" + cipherName _ = "3DES_EDE" cipherKeySize _ = KeySizeFixed 24 - cipherInit k = init3DES DES_EDE3 k + cipherInit k = init3DES DES_EDE3 Decrypt k instance Cipher DES_EDE2 where - cipherName _ = "2DES_EDE" + cipherName _ = "2DES_EDE" cipherKeySize _ = KeySizeFixed 16 - cipherInit k = init2DES DES_EDE2 k + cipherInit k = init2DES DES_EDE2 Decrypt k instance Cipher DES_EEE2 where - cipherName _ = "2DES_EEE" + cipherName _ = "2DES_EEE" cipherKeySize _ = KeySizeFixed 16 - cipherInit k = init2DES DES_EEE2 k + cipherInit k = init2DES DES_EEE2 Encrypt k instance BlockCipher DES_EEE3 where blockSize _ = 8 - ecbEncrypt (DES_EEE3 k1 k2 k3) = B.mapAsWord64 (unBlock . (encrypt k3 . encrypt k2 . encrypt k1) . Block) - ecbDecrypt (DES_EEE3 k1 k2 k3) = B.mapAsWord64 (unBlock . (decrypt k1 . decrypt k2 . decrypt k3) . Block) + ecbEncrypt (DES_EEE3 enc _) = ecb enc + ecbDecrypt (DES_EEE3 _ dec) = ecb dec instance BlockCipher DES_EDE3 where blockSize _ = 8 - ecbEncrypt (DES_EDE3 k1 k2 k3) = B.mapAsWord64 (unBlock . (encrypt k3 . decrypt k2 . encrypt k1) . Block) - ecbDecrypt (DES_EDE3 k1 k2 k3) = B.mapAsWord64 (unBlock . (decrypt k1 . encrypt k2 . decrypt k3) . Block) + ecbEncrypt (DES_EDE3 enc _) = ecb enc + ecbDecrypt (DES_EDE3 _ dec) = ecb dec instance BlockCipher DES_EEE2 where blockSize _ = 8 - ecbEncrypt (DES_EEE2 k1 k2) = B.mapAsWord64 (unBlock . (encrypt k1 . encrypt k2 . encrypt k1) . Block) - ecbDecrypt (DES_EEE2 k1 k2) = B.mapAsWord64 (unBlock . (decrypt k1 . decrypt k2 . decrypt k1) . Block) + ecbEncrypt (DES_EEE2 enc _) = ecb enc + ecbDecrypt (DES_EEE2 _ dec) = ecb dec instance BlockCipher DES_EDE2 where blockSize _ = 8 - ecbEncrypt (DES_EDE2 k1 k2) = B.mapAsWord64 (unBlock . (encrypt k1 . decrypt k2 . encrypt k1) . Block) - ecbDecrypt (DES_EDE2 k1 k2) = B.mapAsWord64 (unBlock . (decrypt k1 . encrypt k2 . decrypt k1) . Block) + ecbEncrypt (DES_EDE2 enc _) = ecb enc + ecbDecrypt (DES_EDE2 _ dec) = ecb dec -init3DES :: ByteArrayAccess key => (Word64 -> Word64 -> Word64 -> a) -> key -> CryptoFailable a -init3DES constr k - | len == 24 = CryptoPassed $ constr k1 k2 k3 +-- | The schedules of a three stage cipher, for both directions. +-- +-- The outer stages encrypt and the middle one goes whichever way the +-- construction says; decrypting is the same three stages in the opposite +-- order, each the other way round. +stages + :: ByteArrayAccess key + => Direction + -- ^ the direction of the middle stage when encrypting + -> (key, key, key) + -> (Schedule, Schedule) +stages mid (k1, k2, k3) = + ( schedule [(Encrypt, k1), (mid, k2), (Encrypt, k3)] + , schedule [(Decrypt, k3), (opposite mid, k2), (Decrypt, k1)] + ) + where + opposite Encrypt = Decrypt + opposite Decrypt = Encrypt + +init3DES + :: ByteArrayAccess key + => (Schedule -> Schedule -> a) -> Direction -> key -> CryptoFailable a +init3DES constr mid k + | B.length k == 24 = + CryptoPassed $ uncurry constr $ stages mid (part 0, part 8, part 16) | otherwise = CryptoFailed CryptoError_KeySizeInvalid - where len = B.length k - (k1, k2, k3) = (fromBE $ B.toW64BE k 0, fromBE $ B.toW64BE k 8, fromBE $ B.toW64BE k 16) + where + part = keyPart k -init2DES :: ByteArrayAccess key => (Word64 -> Word64 -> a) -> key -> CryptoFailable a -init2DES constr k - | len == 16 = CryptoPassed $ constr k1 k2 +init2DES + :: ByteArrayAccess key + => (Schedule -> Schedule -> a) -> Direction -> key -> CryptoFailable a +init2DES constr mid k + | B.length k == 16 = + CryptoPassed $ uncurry constr $ stages mid (part 0, part 8, part 0) | otherwise = CryptoFailed CryptoError_KeySizeInvalid - where len = B.length k - (k1, k2) = (fromBE $ B.toW64BE k 0, fromBE $ B.toW64BE k 8) + where + part = keyPart k + +-- | The eight bytes of a key that start at the given offset. +keyPart :: ByteArrayAccess key => key -> Int -> ScrubbedBytes +keyPart k i = B.take 8 $ B.drop i (B.convert k :: ScrubbedBytes) diff --git a/Crypto/Cipher/Twofish.hs b/Crypto/Cipher/Twofish.hs --- a/Crypto/Cipher/Twofish.hs +++ b/Crypto/Cipher/Twofish.hs @@ -1,8 +1,8 @@ -module Crypto.Cipher.Twofish - ( Twofish128 - , Twofish192 - , Twofish256 - ) where +module Crypto.Cipher.Twofish ( + Twofish128, + Twofish192, + Twofish256, +) where import Crypto.Cipher.Twofish.Primitive import Crypto.Cipher.Types @@ -11,35 +11,38 @@ newtype Twofish128 = Twofish128 Twofish instance Cipher Twofish128 where - cipherName _ = "Twofish128" + cipherName _ = "Twofish128" cipherKeySize _ = KeySizeFixed 16 - cipherInit key = Twofish128 <$> (initTwofish =<< validateKeySize (undefined :: Twofish128) key) + cipherInit key = + Twofish128 <$> (initTwofish =<< validateKeySize (undefined :: Twofish128) key) instance BlockCipher Twofish128 where - blockSize _ = 16 + blockSize _ = 16 ecbEncrypt (Twofish128 key) = encrypt key ecbDecrypt (Twofish128 key) = decrypt key newtype Twofish192 = Twofish192 Twofish instance Cipher Twofish192 where - cipherName _ = "Twofish192" + cipherName _ = "Twofish192" cipherKeySize _ = KeySizeFixed 24 - cipherInit key = Twofish192 <$> (initTwofish =<< validateKeySize (undefined :: Twofish192) key) + cipherInit key = + Twofish192 <$> (initTwofish =<< validateKeySize (undefined :: Twofish192) key) instance BlockCipher Twofish192 where - blockSize _ = 16 + blockSize _ = 16 ecbEncrypt (Twofish192 key) = encrypt key ecbDecrypt (Twofish192 key) = decrypt key newtype Twofish256 = Twofish256 Twofish instance Cipher Twofish256 where - cipherName _ = "Twofish256" + cipherName _ = "Twofish256" cipherKeySize _ = KeySizeFixed 32 - cipherInit key = Twofish256 <$> (initTwofish =<< validateKeySize (undefined :: Twofish256) key) + cipherInit key = + Twofish256 <$> (initTwofish =<< validateKeySize (undefined :: Twofish256) key) instance BlockCipher Twofish256 where - blockSize _ = 16 + blockSize _ = 16 ecbEncrypt (Twofish256 key) = encrypt key ecbDecrypt (Twofish256 key) = decrypt key diff --git a/Crypto/Cipher/Twofish/Primitive.hs b/Crypto/Cipher/Twofish/Primitive.hs --- a/Crypto/Cipher/Twofish/Primitive.hs +++ b/Crypto/Cipher/Twofish/Primitive.hs @@ -1,39 +1,46 @@ -{-# LANGUAGE MagicHash #-} {-# LANGUAGE BangPatterns #-} -module Crypto.Cipher.Twofish.Primitive - ( Twofish - , initTwofish - , encrypt - , decrypt - ) where +{-# LANGUAGE MagicHash #-} +{-# OPTIONS_GHC -Wno-incomplete-uni-patterns #-} -import Crypto.Error -import Crypto.Internal.ByteArray (ByteArray) +module Crypto.Cipher.Twofish.Primitive ( + Twofish, + initTwofish, + encrypt, + decrypt, +) where + +import Crypto.Error +import Crypto.Internal.ByteArray (ByteArray) import qualified Crypto.Internal.ByteArray as B -import Crypto.Internal.WordArray -import Data.Word -import Data.Bits -import Data.List +import Crypto.Internal.WordArray +import Crypto.Internal.Words (Word128 (..)) +import Data.Bits +import Data.List (foldl') +import Data.Word +import Prelude hiding (foldl') -- Based on the Golang referance implementation -- https://github.com/golang/crypto/blob/master/twofish/twofish.go - -- BlockSize is the constant block size of Twofish. blockSize :: Int blockSize = 16 mdsPolynomial, rsPolynomial :: Word32 mdsPolynomial = 0x169 -- x^8 + x^6 + x^5 + x^3 + 1, see [TWOFISH] 4.2 -rsPolynomial = 0x14d -- x^8 + x^6 + x^3 + x^2 + 1, see [TWOFISH] 4.3 +rsPolynomial = 0x14d -- x^8 + x^6 + x^3 + x^2 + 1, see [TWOFISH] 4.3 -data Twofish = Twofish { s :: (Array32, Array32, Array32, Array32) - , k :: Array32 } +data Twofish = Twofish + { s :: (Array32, Array32, Array32, Array32) + , k :: Array32 + } data ByteSize = Bytes16 | Bytes24 | Bytes32 deriving (Eq) -data KeyPackage ba = KeyPackage { rawKeyBytes :: ba - , byteSize :: ByteSize } +data KeyPackage ba = KeyPackage + { rawKeyBytes :: ba + , byteSize :: ByteSize + } buildPackage :: ByteArray ba => ba -> Maybe (KeyPackage ba) buildPackage key @@ -46,89 +53,180 @@ -- -- Return the initialized key or a error message if the given -- keyseed was not 16-bytes in length. -initTwofish :: ByteArray key - => key -- ^ The key to create the twofish context - -> CryptoFailable Twofish +initTwofish + :: ByteArray key + => key + -- ^ The key to create the twofish context + -> CryptoFailable Twofish initTwofish key = - case buildPackage key of Nothing -> CryptoFailed CryptoError_KeySizeInvalid - Just keyPackage -> CryptoPassed Twofish { k = generatedK, s = generatedS } - where generatedK = array32 40 $ genK keyPackage - generatedS = genSboxes keyPackage $ sWords key + case buildPackage key of + Nothing -> CryptoFailed CryptoError_KeySizeInvalid + Just keyPackage -> CryptoPassed Twofish{k = generatedK, s = generatedS} + where + generatedK = array32 40 $ genK keyPackage + generatedS = genSboxes keyPackage $ sWords key -mapBlocks :: ByteArray ba => (ba -> ba) -> ba -> ba +-- | Run a block operation over every block of the input. +-- +-- 'B.mapAsWord128' walks the input and the output once each, where taking a +-- block off the front and appending the result copied the whole of both, once +-- per block. +mapBlocks :: ByteArray ba => (Word128 -> Word128) -> ba -> ba mapBlocks operation input - | B.null rest = blockOutput - | otherwise = blockOutput `B.append` mapBlocks operation rest - where (block, rest) = B.splitAt blockSize input - blockOutput = operation block + | B.length input `mod` blockSize /= 0 = + error $ + "Crypto.Cipher.Twofish: input length must be a multiple of block size (16). Its length is: " + ++ show (B.length input) + | otherwise = B.mapAsWord128 operation input +-- | The four little-endian words of a block, from the two big-endian words +-- t'Word128' is read as. +load32ls :: Word128 -> (Word32, Word32, Word32, Word32) +load32ls (Word128 hi lo) = + ( byteSwap32 (fromIntegral (hi `shiftR` 32)) + , byteSwap32 (fromIntegral hi) + , byteSwap32 (fromIntegral (lo `shiftR` 32)) + , byteSwap32 (fromIntegral lo) + ) + +store32ls :: (Word32, Word32, Word32, Word32) -> Word128 +store32ls (a, b, c, d) = Word128 (pair a b) (pair c d) + where + pair x y = + (fromIntegral (byteSwap32 x) `shiftL` 32) .|. fromIntegral (byteSwap32 y) + -- | Encrypts the given ByteString using the given Key -encrypt :: ByteArray ba - => Twofish -- ^ The key to use - -> ba -- ^ The data to encrypt - -> ba +encrypt + :: ByteArray ba + => Twofish + -- ^ The key to use + -> ba + -- ^ The data to encrypt + -> ba encrypt cipher = mapBlocks (encryptBlock cipher) -encryptBlock :: ByteArray ba => Twofish -> ba -> ba -encryptBlock Twofish { s = (s1, s2, s3, s4), k = ks } message = store32ls ts - where (a, b, c, d) = load32ls message - a' = a `xor` arrayRead32 ks 0 - b' = b `xor` arrayRead32 ks 1 - c' = c `xor` arrayRead32 ks 2 - d' = d `xor` arrayRead32 ks 3 - (!a'', !b'', !c'', !d'') = foldl' shuffle (a', b', c', d') [0..7] - ts = (c'' `xor` arrayRead32 ks 4, d'' `xor` arrayRead32 ks 5, a'' `xor` arrayRead32 ks 6, b'' `xor` arrayRead32 ks 7) +encryptBlock :: Twofish -> Word128 -> Word128 +encryptBlock Twofish{s = (s1, s2, s3, s4), k = ks} message = store32ls ts + where + (a, b, c, d) = load32ls message + a' = a `xor` arrayRead32 ks 0 + b' = b `xor` arrayRead32 ks 1 + c' = c `xor` arrayRead32 ks 2 + d' = d `xor` arrayRead32 ks 3 + (!a'', !b'', !c'', !d'') = foldl' shuffle (a', b', c', d') [0 .. 7] + ts = + ( c'' `xor` arrayRead32 ks 4 + , d'' `xor` arrayRead32 ks 5 + , a'' `xor` arrayRead32 ks 6 + , b'' `xor` arrayRead32 ks 7 + ) - shuffle :: (Word32, Word32, Word32, Word32) -> Int -> (Word32, Word32, Word32, Word32) - shuffle (!retA, !retB, !retC, !retD) ind = (retA', retB', retC', retD') - where [k0, k1, k2, k3] = fmap (\offset -> arrayRead32 ks $ (8 + 4 * ind) + offset) [0..3] - t2 = byteIndex s2 retB `xor` byteIndex s3 (shiftR retB 8) `xor` byteIndex s4 (shiftR retB 16) `xor` byteIndex s1 (shiftR retB 24) - t1 = (byteIndex s1 retA `xor` byteIndex s2 (shiftR retA 8) `xor` byteIndex s3 (shiftR retA 16) `xor` byteIndex s4 (shiftR retA 24)) + t2 - retC' = rotateR (retC `xor` (t1 + k0)) 1 - retD' = rotateL retD 1 `xor` (t1 + t2 + k1) - t2' = byteIndex s2 retD' `xor` byteIndex s3 (shiftR retD' 8) `xor` byteIndex s4 (shiftR retD' 16) `xor` byteIndex s1 (shiftR retD' 24) - t1' = (byteIndex s1 retC' `xor` byteIndex s2 (shiftR retC' 8) `xor` byteIndex s3 (shiftR retC' 16) `xor` byteIndex s4 (shiftR retC' 24)) + t2' - retA' = rotateR (retA `xor` (t1' + k2)) 1 - retB' = rotateL retB 1 `xor` (t1' + t2' + k3) + shuffle + :: (Word32, Word32, Word32, Word32) -> Int -> (Word32, Word32, Word32, Word32) + shuffle (!retA, !retB, !retC, !retD) ind = (retA', retB', retC', retD') + where + [k0, k1, k2, k3] = fmap (\offset -> arrayRead32 ks $ (8 + 4 * ind) + offset) [0 .. 3] + t2 = + byteIndex s2 retB + `xor` byteIndex s3 (shiftR retB 8) + `xor` byteIndex s4 (shiftR retB 16) + `xor` byteIndex s1 (shiftR retB 24) + t1 = + ( byteIndex s1 retA + `xor` byteIndex s2 (shiftR retA 8) + `xor` byteIndex s3 (shiftR retA 16) + `xor` byteIndex s4 (shiftR retA 24) + ) + + t2 + retC' = rotateR (retC `xor` (t1 + k0)) 1 + retD' = rotateL retD 1 `xor` (t1 + t2 + k1) + t2' = + byteIndex s2 retD' + `xor` byteIndex s3 (shiftR retD' 8) + `xor` byteIndex s4 (shiftR retD' 16) + `xor` byteIndex s1 (shiftR retD' 24) + t1' = + ( byteIndex s1 retC' + `xor` byteIndex s2 (shiftR retC' 8) + `xor` byteIndex s3 (shiftR retC' 16) + `xor` byteIndex s4 (shiftR retC' 24) + ) + + t2' + retA' = rotateR (retA `xor` (t1' + k2)) 1 + retB' = rotateL retB 1 `xor` (t1' + t2' + k3) -- Unsafe, no bounds checking byteIndex :: Array32 -> Word32 -> Word32 -byteIndex xs ind = arrayRead32 xs $ fromIntegral byte - where byte = ind `mod` 256 +byteIndex xs ind = arrayRead32 xs $ fromIntegral byte + where + byte = ind `mod` 256 -- | Decrypts the given ByteString using the given Key -decrypt :: ByteArray ba - => Twofish -- ^ The key to use - -> ba -- ^ The data to decrypt - -> ba +decrypt + :: ByteArray ba + => Twofish + -- ^ The key to use + -> ba + -- ^ The data to decrypt + -> ba decrypt cipher = mapBlocks (decryptBlock cipher) {- decryption for 128 bits blocks -} -decryptBlock :: ByteArray ba => Twofish -> ba -> ba -decryptBlock Twofish { s = (s1, s2, s3, s4), k = ks } message = store32ls ixs - where (a, b, c, d) = load32ls message - a' = c `xor` arrayRead32 ks 6 - b' = d `xor` arrayRead32 ks 7 - c' = a `xor` arrayRead32 ks 4 - d' = b `xor` arrayRead32 ks 5 - (!a'', !b'', !c'', !d'') = foldl' unshuffle (a', b', c', d') [8, 7..1] - ixs = (a'' `xor` arrayRead32 ks 0, b'' `xor` arrayRead32 ks 1, c'' `xor` arrayRead32 ks 2, d'' `xor` arrayRead32 ks 3) +decryptBlock :: Twofish -> Word128 -> Word128 +decryptBlock Twofish{s = (s1, s2, s3, s4), k = ks} message = store32ls ixs + where + (a, b, c, d) = load32ls message + a' = c `xor` arrayRead32 ks 6 + b' = d `xor` arrayRead32 ks 7 + c' = a `xor` arrayRead32 ks 4 + d' = b `xor` arrayRead32 ks 5 + (!a'', !b'', !c'', !d'') = foldl' unshuffle (a', b', c', d') [8, 7 .. 1] + ixs = + ( a'' `xor` arrayRead32 ks 0 + , b'' `xor` arrayRead32 ks 1 + , c'' `xor` arrayRead32 ks 2 + , d'' `xor` arrayRead32 ks 3 + ) - unshuffle :: (Word32, Word32, Word32, Word32) -> Int -> (Word32, Word32, Word32, Word32) - unshuffle (!retA, !retB, !retC, !retD) ind = (retA', retB', retC', retD') - where [k0, k1, k2, k3] = fmap (\offset -> arrayRead32 ks $ (4 + 4 * ind) + offset) [0..3] - t2 = byteIndex s2 retD `xor` byteIndex s3 (shiftR retD 8) `xor` byteIndex s4 (shiftR retD 16) `xor` byteIndex s1 (shiftR retD 24) - t1 = (byteIndex s1 retC `xor` byteIndex s2 (shiftR retC 8) `xor` byteIndex s3 (shiftR retC 16) `xor` byteIndex s4 (shiftR retC 24)) + t2 - retA' = rotateL retA 1 `xor` (t1 + k2) - retB' = rotateR (retB `xor` (t2 + t1 + k3)) 1 - t2' = byteIndex s2 retB' `xor` byteIndex s3 (shiftR retB' 8) `xor` byteIndex s4 (shiftR retB' 16) `xor` byteIndex s1 (shiftR retB' 24) - t1' = (byteIndex s1 retA' `xor` byteIndex s2 (shiftR retA' 8) `xor` byteIndex s3 (shiftR retA' 16) `xor` byteIndex s4 (shiftR retA' 24)) + t2' - retC' = rotateL retC 1 `xor` (t1' + k0) - retD' = rotateR (retD `xor` (t2' + t1' + k1)) 1 + unshuffle + :: (Word32, Word32, Word32, Word32) -> Int -> (Word32, Word32, Word32, Word32) + unshuffle (!retA, !retB, !retC, !retD) ind = (retA', retB', retC', retD') + where + [k0, k1, k2, k3] = fmap (\offset -> arrayRead32 ks $ (4 + 4 * ind) + offset) [0 .. 3] + t2 = + byteIndex s2 retD + `xor` byteIndex s3 (shiftR retD 8) + `xor` byteIndex s4 (shiftR retD 16) + `xor` byteIndex s1 (shiftR retD 24) + t1 = + ( byteIndex s1 retC + `xor` byteIndex s2 (shiftR retC 8) + `xor` byteIndex s3 (shiftR retC 16) + `xor` byteIndex s4 (shiftR retC 24) + ) + + t2 + retA' = rotateL retA 1 `xor` (t1 + k2) + retB' = rotateR (retB `xor` (t2 + t1 + k3)) 1 + t2' = + byteIndex s2 retB' + `xor` byteIndex s3 (shiftR retB' 8) + `xor` byteIndex s4 (shiftR retB' 16) + `xor` byteIndex s1 (shiftR retB' 24) + t1' = + ( byteIndex s1 retA' + `xor` byteIndex s2 (shiftR retA' 8) + `xor` byteIndex s3 (shiftR retA' 16) + `xor` byteIndex s4 (shiftR retA' 24) + ) + + t2' + retC' = rotateL retC 1 `xor` (t1' + k0) + retD' = rotateR (retD `xor` (t2' + t1' + k1)) 1 sbox0 :: Int -> Word8 sbox0 = arrayRead8 t - where t = array8 + where + t = + array8 "\xa9\x67\xb3\xe8\x04\xfd\xa3\x76\x9a\x92\x80\x78\xe4\xdd\xd1\x38\ \\x0d\xc6\x35\x98\x18\xf7\xec\x6c\x43\x75\x37\x26\xfa\x13\x94\x48\ \\xf2\xd0\x8b\x30\x84\x54\xdf\x23\x19\x5b\x3d\x59\xf3\xae\xa2\x82\ @@ -148,7 +246,9 @@ sbox1 :: Int -> Word8 sbox1 = arrayRead8 t - where t = array8 + where + t = + array8 "\x75\xf3\xc6\xf4\xdb\x7b\xfb\xc8\x4a\xd3\xe6\x6b\x45\x7d\xe8\x4b\ \\xd6\x32\xd8\xfd\x37\x71\xf1\xe1\x30\x0f\xf8\x1b\x87\xfa\x06\x3f\ \\x5e\xba\xae\x5b\x8a\x00\xbc\x9d\x6d\xc1\xb1\x0e\x80\x5d\xd2\xd5\ @@ -167,145 +267,261 @@ \\xd7\x61\x1e\xb4\x50\x04\xf6\xc2\x16\x25\x86\x56\x55\x09\xbe\x91"# rs :: [[Word8]] -rs = [ [0x01, 0xA4, 0x55, 0x87, 0x5A, 0x58, 0xDB, 0x9E] - , [0xA4, 0x56, 0x82, 0xF3, 0x1E, 0xC6, 0x68, 0xE5] - , [0x02, 0xA1, 0xFC, 0xC1, 0x47, 0xAE, 0x3D, 0x19] - , [0xA4, 0x55, 0x87, 0x5A, 0x58, 0xDB, 0x9E, 0x03] ] - - - -load32ls :: ByteArray ba => ba -> (Word32, Word32, Word32, Word32) -load32ls message = (intify q1, intify q2, intify q3, intify q4) - where (half1, half2) = B.splitAt 8 message - (q1, q2) = B.splitAt 4 half1 - (q3, q4) = B.splitAt 4 half2 - - intify :: ByteArray ba => ba -> Word32 - intify bytes = foldl' (\int (!word, !ind) -> int .|. shiftL (fromIntegral word) (ind * 8) ) 0 (zip (B.unpack bytes) [0..]) - -store32ls :: ByteArray ba => (Word32, Word32, Word32, Word32) -> ba -store32ls (a, b, c, d) = B.pack $ concatMap splitWordl [a, b, c, d] - where splitWordl :: Word32 -> [Word8] - splitWordl w = fmap (\ind -> fromIntegral $ shiftR w (8 * ind)) [0..3] - +rs = + [ [0x01, 0xA4, 0x55, 0x87, 0x5A, 0x58, 0xDB, 0x9E] + , [0xA4, 0x56, 0x82, 0xF3, 0x1E, 0xC6, 0x68, 0xE5] + , [0x02, 0xA1, 0xFC, 0xC1, 0x47, 0xAE, 0x3D, 0x19] + , [0xA4, 0x55, 0x87, 0x5A, 0x58, 0xDB, 0x9E, 0x03] + ] -- Create S words sWords :: ByteArray ba => ba -> [Word8] sWords key = sWord - where word64Count = B.length key `div` 2 - sWord = concatMap (\wordIndex -> - map (\rsRow -> - foldl' (\acc (!rsVal, !colIndex) -> + where + word64Count = B.length key `div` 2 + sWord = + concatMap + ( \wordIndex -> + map + ( \rsRow -> + foldl' + ( \acc (!rsVal, !colIndex) -> acc `xor` gfMult rsPolynomial (B.index key $ 8 * wordIndex + colIndex) rsVal - ) 0 (zip rsRow [0..]) - ) rs - ) [0..word64Count - 1] + ) + 0 + (zip rsRow [0 ..]) + ) + rs + ) + [0 .. word64Count - 1] data Column = Zero | One | Two | Three deriving (Show, Eq, Enum, Bounded) genSboxes :: KeyPackage ba -> [Word8] -> (Array32, Array32, Array32, Array32) genSboxes keyPackage ws = (mkArray b0', mkArray b1', mkArray b2', mkArray b3') - where range = [0..255] - mkArray = array32 256 - [w0, w1, w2, w3, w4, w5, w6, w7, w8, w9, w10, w11, w12, w13, w14, w15] = take 16 ws - (b0', b1', b2', b3') = sboxBySize $ byteSize keyPackage - - sboxBySize :: ByteSize -> ([Word32], [Word32], [Word32], [Word32]) - sboxBySize Bytes16 = (b0, b1, b2, b3) - where !b0 = fmap mapper range - where mapper :: Int -> Word32 - mapper byte = mdsColumnMult ((sbox1 . fromIntegral) ((sbox0 . fromIntegral $ sbox0 byte `xor` w0) `xor` w4)) Zero - !b1 = fmap mapper range - where mapper byte = mdsColumnMult ((sbox0 . fromIntegral) ((sbox0 . fromIntegral $ sbox1 byte `xor` w1) `xor` w5)) One - !b2 = fmap mapper range - where mapper byte = mdsColumnMult ((sbox1 . fromIntegral) ((sbox1 . fromIntegral $ sbox0 byte `xor` w2) `xor` w6)) Two - !b3 = fmap mapper range - where mapper byte = mdsColumnMult ((sbox0 . fromIntegral) ((sbox1 . fromIntegral $ sbox1 byte `xor` w3) `xor` w7)) Three - - sboxBySize Bytes24 = (b0, b1, b2, b3) - where !b0 = fmap mapper range - where mapper byte = mdsColumnMult ((sbox1 . fromIntegral) ((sbox0 . fromIntegral) ((sbox0 . fromIntegral $ sbox1 byte `xor` w0) `xor` w4) `xor` w8)) Zero - !b1 = fmap mapper range - where mapper byte = mdsColumnMult ((sbox0 . fromIntegral) ((sbox0 . fromIntegral) ((sbox1 . fromIntegral $ sbox1 byte `xor` w1) `xor` w5) `xor` w9)) One - !b2 = fmap mapper range - where mapper byte = mdsColumnMult ((sbox1 . fromIntegral) ((sbox1 . fromIntegral) ((sbox0 . fromIntegral $ sbox0 byte `xor` w2) `xor` w6) `xor` w10)) Two - !b3 = fmap mapper range - where mapper byte = mdsColumnMult ((sbox0 . fromIntegral) ((sbox1 . fromIntegral) ((sbox1 . fromIntegral $ sbox0 byte `xor` w3) `xor` w7) `xor` w11)) Three - - sboxBySize Bytes32 = (b0, b1, b2, b3) - where !b0 = fmap mapper range - where mapper byte = mdsColumnMult ((sbox1 . fromIntegral) ((sbox0 . fromIntegral) ((sbox0 . fromIntegral) ((sbox1 . fromIntegral $ sbox1 byte `xor` w0) `xor` w4) `xor` w8) `xor` w12)) Zero - !b1 = fmap mapper range - where mapper byte = mdsColumnMult ((sbox0 . fromIntegral) ((sbox0 . fromIntegral) ((sbox1 . fromIntegral) ((sbox1 . fromIntegral $ sbox0 byte `xor` w1) `xor` w5) `xor` w9) `xor` w13)) One - !b2 = fmap mapper range - where mapper byte = mdsColumnMult ((sbox1 . fromIntegral) ((sbox1 . fromIntegral) ((sbox0 . fromIntegral) ((sbox0 . fromIntegral $ sbox0 byte `xor` w2) `xor` w6) `xor` w10) `xor` w14)) Two - !b3 = fmap mapper range - where mapper byte = mdsColumnMult ((sbox0 . fromIntegral) ((sbox1 . fromIntegral) ((sbox1 . fromIntegral) ((sbox0 . fromIntegral $ sbox1 byte `xor` w3) `xor` w7) `xor` w11) `xor` w15)) Three - -genK :: (ByteArray ba) => KeyPackage ba -> [Word32] -genK keyPackage = concatMap makeTuple [0..19] - where makeTuple :: Word8 -> [Word32] - makeTuple idx = [a + b', rotateL (2 * b' + a) 9] - where tmp1 = replicate 4 $ 2 * idx - tmp2 = fmap (+1) tmp1 - a = h tmp1 keyPackage 0 - b = h tmp2 keyPackage 1 - b' = rotateL b 8 + where + range = [0 .. 255] + mkArray = array32 256 + [w0, w1, w2, w3, w4, w5, w6, w7, w8, w9, w10, w11, w12, w13, w14, w15] = take 16 ws + (b0', b1', b2', b3') = sboxBySize $ byteSize keyPackage -h :: (ByteArray ba) => [Word8] -> KeyPackage ba -> Int -> Word32 -h input keyPackage offset = foldl' xorMdsColMult 0 $ zip [y0f, y1f, y2f, y3f] $ enumFrom Zero - where key = rawKeyBytes keyPackage - [y0, y1, y2, y3] = take 4 input - (!y0f, !y1f, !y2f, !y3f) = run (y0, y1, y2, y3) $ byteSize keyPackage + sboxBySize :: ByteSize -> ([Word32], [Word32], [Word32], [Word32]) + sboxBySize Bytes16 = (b0, b1, b2, b3) + where + !b0 = fmap mapper range + where + mapper :: Int -> Word32 + mapper byte = + mdsColumnMult + ((sbox1 . fromIntegral) ((sbox0 . fromIntegral $ sbox0 byte `xor` w0) `xor` w4)) + Zero + !b1 = fmap mapper range + where + mapper byte = + mdsColumnMult + ((sbox0 . fromIntegral) ((sbox0 . fromIntegral $ sbox1 byte `xor` w1) `xor` w5)) + One + !b2 = fmap mapper range + where + mapper byte = + mdsColumnMult + ((sbox1 . fromIntegral) ((sbox1 . fromIntegral $ sbox0 byte `xor` w2) `xor` w6)) + Two + !b3 = fmap mapper range + where + mapper byte = + mdsColumnMult + ((sbox0 . fromIntegral) ((sbox1 . fromIntegral $ sbox1 byte `xor` w3) `xor` w7)) + Three + sboxBySize Bytes24 = (b0, b1, b2, b3) + where + !b0 = fmap mapper range + where + mapper byte = + mdsColumnMult + ( (sbox1 . fromIntegral) + ( (sbox0 . fromIntegral) ((sbox0 . fromIntegral $ sbox1 byte `xor` w0) `xor` w4) + `xor` w8 + ) + ) + Zero + !b1 = fmap mapper range + where + mapper byte = + mdsColumnMult + ( (sbox0 . fromIntegral) + ( (sbox0 . fromIntegral) ((sbox1 . fromIntegral $ sbox1 byte `xor` w1) `xor` w5) + `xor` w9 + ) + ) + One + !b2 = fmap mapper range + where + mapper byte = + mdsColumnMult + ( (sbox1 . fromIntegral) + ( (sbox1 . fromIntegral) ((sbox0 . fromIntegral $ sbox0 byte `xor` w2) `xor` w6) + `xor` w10 + ) + ) + Two + !b3 = fmap mapper range + where + mapper byte = + mdsColumnMult + ( (sbox0 . fromIntegral) + ( (sbox1 . fromIntegral) ((sbox1 . fromIntegral $ sbox0 byte `xor` w3) `xor` w7) + `xor` w11 + ) + ) + Three + sboxBySize Bytes32 = (b0, b1, b2, b3) + where + !b0 = fmap mapper range + where + mapper byte = + mdsColumnMult + ( (sbox1 . fromIntegral) + ( (sbox0 . fromIntegral) + ( (sbox0 . fromIntegral) ((sbox1 . fromIntegral $ sbox1 byte `xor` w0) `xor` w4) + `xor` w8 + ) + `xor` w12 + ) + ) + Zero + !b1 = fmap mapper range + where + mapper byte = + mdsColumnMult + ( (sbox0 . fromIntegral) + ( (sbox0 . fromIntegral) + ( (sbox1 . fromIntegral) ((sbox1 . fromIntegral $ sbox0 byte `xor` w1) `xor` w5) + `xor` w9 + ) + `xor` w13 + ) + ) + One + !b2 = fmap mapper range + where + mapper byte = + mdsColumnMult + ( (sbox1 . fromIntegral) + ( (sbox1 . fromIntegral) + ( (sbox0 . fromIntegral) ((sbox0 . fromIntegral $ sbox0 byte `xor` w2) `xor` w6) + `xor` w10 + ) + `xor` w14 + ) + ) + Two + !b3 = fmap mapper range + where + mapper byte = + mdsColumnMult + ( (sbox0 . fromIntegral) + ( (sbox1 . fromIntegral) + ( (sbox1 . fromIntegral) ((sbox0 . fromIntegral $ sbox1 byte `xor` w3) `xor` w7) + `xor` w11 + ) + `xor` w15 + ) + ) + Three - run :: (Word8, Word8, Word8, Word8) -> ByteSize -> (Word8, Word8, Word8, Word8) - run (!y0'', !y1'', !y2'', !y3'') Bytes32 = run (y0', y1', y2', y3') Bytes24 - where y0' = sbox1 (fromIntegral y0'') `xor` B.index key (4 * (6 + offset) + 0) - y1' = sbox0 (fromIntegral y1'') `xor` B.index key (4 * (6 + offset) + 1) - y2' = sbox0 (fromIntegral y2'') `xor` B.index key (4 * (6 + offset) + 2) - y3' = sbox1 (fromIntegral y3'') `xor` B.index key (4 * (6 + offset) + 3) +genK :: ByteArray ba => KeyPackage ba -> [Word32] +genK keyPackage = concatMap makeTuple [0 .. 19] + where + makeTuple :: Word8 -> [Word32] + makeTuple idx = [a + b', rotateL (2 * b' + a) 9] + where + tmp1 = replicate 4 $ 2 * idx + tmp2 = fmap (+ 1) tmp1 + a = h tmp1 keyPackage 0 + b = h tmp2 keyPackage 1 + b' = rotateL b 8 - run (!y0'', !y1'', !y2'', !y3'') Bytes24 = run (y0', y1', y2', y3') Bytes16 - where y0' = sbox1 (fromIntegral y0'') `xor` B.index key (4 * (4 + offset) + 0) - y1' = sbox1 (fromIntegral y1'') `xor` B.index key (4 * (4 + offset) + 1) - y2' = sbox0 (fromIntegral y2'') `xor` B.index key (4 * (4 + offset) + 2) - y3' = sbox0 (fromIntegral y3'') `xor` B.index key (4 * (4 + offset) + 3) +h :: ByteArray ba => [Word8] -> KeyPackage ba -> Int -> Word32 +h input keyPackage offset = foldl' xorMdsColMult 0 $ zip [y0f, y1f, y2f, y3f] $ enumFrom Zero + where + key = rawKeyBytes keyPackage + [y0, y1, y2, y3] = take 4 input + (!y0f, !y1f, !y2f, !y3f) = run (y0, y1, y2, y3) $ byteSize keyPackage - run (!y0'', !y1'', !y2'', !y3'') Bytes16 = (y0', y1', y2', y3') - where y0' = sbox1 . fromIntegral $ (sbox0 . fromIntegral $ (sbox0 (fromIntegral y0'') `xor` B.index key (4 * (2 + offset) + 0))) `xor` B.index key (4 * (0 + offset) + 0) - y1' = sbox0 . fromIntegral $ (sbox0 . fromIntegral $ (sbox1 (fromIntegral y1'') `xor` B.index key (4 * (2 + offset) + 1))) `xor` B.index key (4 * (0 + offset) + 1) - y2' = sbox1 . fromIntegral $ (sbox1 . fromIntegral $ (sbox0 (fromIntegral y2'') `xor` B.index key (4 * (2 + offset) + 2))) `xor` B.index key (4 * (0 + offset) + 2) - y3' = sbox0 . fromIntegral $ (sbox1 . fromIntegral $ (sbox1 (fromIntegral y3'') `xor` B.index key (4 * (2 + offset) + 3))) `xor` B.index key (4 * (0 + offset) + 3) + run :: (Word8, Word8, Word8, Word8) -> ByteSize -> (Word8, Word8, Word8, Word8) + run (!y0'', !y1'', !y2'', !y3'') Bytes32 = run (y0', y1', y2', y3') Bytes24 + where + y0' = sbox1 (fromIntegral y0'') `xor` B.index key (4 * (6 + offset) + 0) + y1' = sbox0 (fromIntegral y1'') `xor` B.index key (4 * (6 + offset) + 1) + y2' = sbox0 (fromIntegral y2'') `xor` B.index key (4 * (6 + offset) + 2) + y3' = sbox1 (fromIntegral y3'') `xor` B.index key (4 * (6 + offset) + 3) + run (!y0'', !y1'', !y2'', !y3'') Bytes24 = run (y0', y1', y2', y3') Bytes16 + where + y0' = sbox1 (fromIntegral y0'') `xor` B.index key (4 * (4 + offset) + 0) + y1' = sbox1 (fromIntegral y1'') `xor` B.index key (4 * (4 + offset) + 1) + y2' = sbox0 (fromIntegral y2'') `xor` B.index key (4 * (4 + offset) + 2) + y3' = sbox0 (fromIntegral y3'') `xor` B.index key (4 * (4 + offset) + 3) + run (!y0'', !y1'', !y2'', !y3'') Bytes16 = (y0', y1', y2', y3') + where + y0' = + sbox1 . fromIntegral $ + ( sbox0 . fromIntegral $ + (sbox0 (fromIntegral y0'') `xor` B.index key (4 * (2 + offset) + 0)) + ) + `xor` B.index key (4 * (0 + offset) + 0) + y1' = + sbox0 . fromIntegral $ + ( sbox0 . fromIntegral $ + (sbox1 (fromIntegral y1'') `xor` B.index key (4 * (2 + offset) + 1)) + ) + `xor` B.index key (4 * (0 + offset) + 1) + y2' = + sbox1 . fromIntegral $ + ( sbox1 . fromIntegral $ + (sbox0 (fromIntegral y2'') `xor` B.index key (4 * (2 + offset) + 2)) + ) + `xor` B.index key (4 * (0 + offset) + 2) + y3' = + sbox0 . fromIntegral $ + ( sbox1 . fromIntegral $ + (sbox1 (fromIntegral y3'') `xor` B.index key (4 * (2 + offset) + 3)) + ) + `xor` B.index key (4 * (0 + offset) + 3) - xorMdsColMult :: Word32 -> (Word8, Column) -> Word32 - xorMdsColMult acc wordAndIndex = acc `xor` uncurry mdsColumnMult wordAndIndex + xorMdsColMult :: Word32 -> (Word8, Column) -> Word32 + xorMdsColMult acc wordAndIndex = acc `xor` uncurry mdsColumnMult wordAndIndex mdsColumnMult :: Word8 -> Column -> Word32 mdsColumnMult !byte !col = - case col of Zero -> input .|. rotateL mul5B 8 .|. rotateL mulEF 16 .|. rotateL mulEF 24 - One -> mulEF .|. rotateL mulEF 8 .|. rotateL mul5B 16 .|. rotateL input 24 - Two -> mul5B .|. rotateL mulEF 8 .|. rotateL input 16 .|. rotateL mulEF 24 - Three -> mul5B .|. rotateL input 8 .|. rotateL mulEF 16 .|. rotateL mul5B 24 - where input = fromIntegral byte - mul5B = fromIntegral $ gfMult mdsPolynomial byte 0x5B - mulEF = fromIntegral $ gfMult mdsPolynomial byte 0xEF + case col of + Zero -> input .|. rotateL mul5B 8 .|. rotateL mulEF 16 .|. rotateL mulEF 24 + One -> mulEF .|. rotateL mulEF 8 .|. rotateL mul5B 16 .|. rotateL input 24 + Two -> mul5B .|. rotateL mulEF 8 .|. rotateL input 16 .|. rotateL mulEF 24 + Three -> mul5B .|. rotateL input 8 .|. rotateL mulEF 16 .|. rotateL mul5B 24 + where + input = fromIntegral byte + mul5B = fromIntegral $ gfMult mdsPolynomial byte 0x5B + mulEF = fromIntegral $ gfMult mdsPolynomial byte 0xEF -tupInd :: (Bits b) => b -> (a, a) -> a +tupInd :: Bits b => b -> (a, a) -> a tupInd b | testBit b 0 = snd | otherwise = fst gfMult :: Word32 -> Word8 -> Word8 -> Word8 gfMult p a b = fromIntegral $ run a b' p' result 0 - where b' = (0, fromIntegral b) - p' = (0, p) - result = 0 + where + b' = (0, fromIntegral b) + p' = (0, p) + result = 0 - run :: Word8 -> (Word32, Word32) -> (Word32, Word32) -> Word32 -> Int -> Word32 - run a' b'' p'' result' count = - if count == 7 + run :: Word8 -> (Word32, Word32) -> (Word32, Word32) -> Word32 -> Int -> Word32 + run a' b'' p'' result' count = + if count == 7 then result'' else run a'' b''' p'' result'' (count + 1) - where result'' = result' `xor` tupInd (a' .&. 1) b'' - a'' = shiftR a' 1 - b''' = (fst b'', tupInd (shiftR (snd b'') 7) p'' `xor` shiftL (snd b'') 1) + where + result'' = result' `xor` tupInd (a' .&. 1) b'' + a'' = shiftR a' 1 + b''' = (fst b'', tupInd (shiftR (snd b'') 7) p'' `xor` shiftL (snd b'') 1) diff --git a/Crypto/Cipher/Types.hs b/Crypto/Cipher/Types.hs --- a/Crypto/Cipher/Types.hs +++ b/Crypto/Cipher/Types.hs @@ -1,3 +1,5 @@ +{-# LANGUAGE DeriveDataTypeable #-} + -- | -- Module : Crypto.Cipher.Types -- License : BSD-style @@ -6,34 +8,34 @@ -- Portability : Excellent -- -- Symmetric cipher basic types --- -{-# LANGUAGE DeriveDataTypeable #-} -module Crypto.Cipher.Types - ( +module Crypto.Cipher.Types ( -- * Cipher classes - Cipher(..) - , BlockCipher(..) - , BlockCipher128(..) - , StreamCipher(..) - , DataUnitOffset - , KeySizeSpecifier(..) + Cipher (..), + BlockCipher (..), + BlockCipher128 (..), + StreamCipher (..), + DataUnitOffset, + KeySizeSpecifier (..), -- , cfb8Encrypt -- , cfb8Decrypt + -- * AEAD functions - , AEADMode(..) - , CCM_M(..) - , CCM_L(..) - , module Crypto.Cipher.Types.AEAD + AEADMode (..), + CCM_M (..), + CCM_L (..), + module Crypto.Cipher.Types.AEAD, + -- * Initial Vector type and constructor - , IV - , makeIV - , nullIV - , ivAdd + IV, + makeIV, + nullIV, + ivAdd, + -- * Authentification Tag - , AuthTag(..) - ) where + AuthTag (..), +) where +import Crypto.Cipher.Types.AEAD import Crypto.Cipher.Types.Base import Crypto.Cipher.Types.Block import Crypto.Cipher.Types.Stream -import Crypto.Cipher.Types.AEAD diff --git a/Crypto/Cipher/Types/AEAD.hs b/Crypto/Cipher/Types/AEAD.hs --- a/Crypto/Cipher/Types/AEAD.hs +++ b/Crypto/Cipher/Types/AEAD.hs @@ -1,3 +1,6 @@ +{-# LANGUAGE ExistentialQuantification #-} +{-# LANGUAGE Rank2Types #-} + -- | -- Module : Crypto.Cipher.Types.AEAD -- License : BSD-style @@ -6,69 +9,133 @@ -- Portability : Excellent -- -- AEAD cipher basic types --- -{-# LANGUAGE ExistentialQuantification #-} -{-# LANGUAGE Rank2Types #-} module Crypto.Cipher.Types.AEAD where -import Crypto.Cipher.Types.Base -import Crypto.Internal.ByteArray (ByteArrayAccess, ByteArray) +import Crypto.Cipher.Types.Base +import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess) import qualified Crypto.Internal.ByteArray as B -import Crypto.Internal.Imports +import Crypto.Internal.Imports -- | AEAD Implementation data AEADModeImpl st = AEADModeImpl - { aeadImplAppendHeader :: forall ba . ByteArrayAccess ba => st -> ba -> st - , aeadImplEncrypt :: forall ba . ByteArray ba => st -> ba -> (ba, st) - , aeadImplDecrypt :: forall ba . ByteArray ba => st -> ba -> (ba, st) - , aeadImplFinalize :: st -> Int -> AuthTag + { aeadImplAppendHeader :: forall ba. ByteArrayAccess ba => st -> ba -> st + -- ^ Adding associated\/additional data to the AEAD context. + , aeadImplEncrypt :: forall ba. ByteArray ba => st -> ba -> (ba, st) + -- ^ Encrypiting plaintext and update the AEAD context. + , aeadImplDecrypt :: forall ba. ByteArray ba => st -> ba -> (ba, st) + -- ^ Decrypting ciphertext and update the AEAD context. + , aeadImplFinalize :: st -> Int -> AuthTag + -- ^ Finalizing the AEAD context and returning the authentication tag. } --- | Authenticated Encryption with Associated Data algorithms -data AEAD cipher = forall st . AEAD +-- | Algorithm and context for AEAD(Authenticated Encryption with Associated\/Additional Data) +data AEAD cipher = forall st. AEAD { aeadModeImpl :: AEADModeImpl st - , aeadState :: !st + , aeadState :: !st } --- | Append some header information to an AEAD context +-- | Adding associated\/additional data to the AEAD context. aeadAppendHeader :: ByteArrayAccess aad => AEAD cipher -> aad -> AEAD cipher aeadAppendHeader (AEAD impl st) aad = AEAD impl $ aeadImplAppendHeader impl st aad --- | Encrypt some data and update the AEAD context +-- | Encrypting plaintext and update the AEAD context. aeadEncrypt :: ByteArray ba => AEAD cipher -> ba -> (ba, AEAD cipher) aeadEncrypt (AEAD impl st) ba = second (AEAD impl) $ aeadImplEncrypt impl st ba --- | Decrypt some data and update the AEAD context +-- | Decrypting ciphertext and update the AEAD context. aeadDecrypt :: ByteArray ba => AEAD cipher -> ba -> (ba, AEAD cipher) aeadDecrypt (AEAD impl st) ba = second (AEAD impl) $ aeadImplDecrypt impl st ba --- | Finalize the AEAD context and return the authentication tag +-- | Finalizing the AEAD context and returning the authentication tag. aeadFinalize :: AEAD cipher -> Int -> AuthTag aeadFinalize (AEAD impl st) = aeadImplFinalize impl st --- | Simple AEAD encryption -aeadSimpleEncrypt :: (ByteArrayAccess aad, ByteArray ba) - => AEAD a -- ^ A new AEAD Context - -> aad -- ^ Optional Authentication data header - -> ba -- ^ Optional Plaintext - -> Int -- ^ Tag length - -> (AuthTag, ba) -- ^ Authentication tag and ciphertext +-- | Simple AEAD encryption. +aeadSimpleEncrypt + :: (ByteArrayAccess aad, ByteArray ba) + => AEAD a + -- ^ An AEAD Context + -> aad + -- ^ Associated\/additional data + -> ba + -- ^ Plaintext + -> Int + -- ^ Tag length + -> (AuthTag, ba) + -- ^ Authentication tag and ciphertext aeadSimpleEncrypt aeadIni header input taglen = (tag, output) - where aead = aeadAppendHeader aeadIni header - (output, aeadFinal) = aeadEncrypt aead input - tag = aeadFinalize aeadFinal taglen + where + aead = aeadAppendHeader aeadIni header + (output, aeadFinal) = aeadEncrypt aead input + tag = aeadFinalize aeadFinal taglen --- | Simple AEAD decryption -aeadSimpleDecrypt :: (ByteArrayAccess aad, ByteArray ba) - => AEAD a -- ^ A new AEAD Context - -> aad -- ^ Optional Authentication data header - -> ba -- ^ Ciphertext - -> AuthTag -- ^ The authentication tag - -> Maybe ba -- ^ Plaintext +-- | The shortest authentication tag any mode here produces, four bytes +-- (@CCM_M4@). Modes that truncate their tag -- GCM and OCB3 -- will +-- compute one of whatever length they are asked for, down to nothing, so +-- 'aeadSimpleDecrypt' refuses a shorter tag than this rather than +-- authenticate fewer bytes than any supported mode ever emits. +minimumTagLength :: Int +minimumTagLength = 4 + +-- | Simple AEAD decryptio. +-- +-- The number of bytes compared is the length of @authTag@. That is the +-- caller's choice of tag length, so a caller reading a tag off the wire +-- must check its length against the one it expects: passing an +-- attacker-supplied tag straight in lets the attacker pick how much of it +-- is verified. Tags shorter than 'minimumTagLength' are rejected +-- outright. +aeadSimpleDecrypt + :: (ByteArrayAccess aad, ByteArray ba) + => AEAD a + -- ^ An AEAD Context + -> aad + -- ^ Associated\/additional data + -> ba + -- ^ Ciphertext + -> AuthTag + -- ^ The authentication tag + -> Maybe ba + -- ^ Plaintext aeadSimpleDecrypt aeadIni header input authTag + | B.length authTag < minimumTagLength = Nothing | tag == authTag = Just output - | otherwise = Nothing - where aead = aeadAppendHeader aeadIni header - (output, aeadFinal) = aeadDecrypt aead input - tag = aeadFinalize aeadFinal (B.length authTag) + | otherwise = Nothing + where + aead = aeadAppendHeader aeadIni header + (output, aeadFinal) = aeadDecrypt aead input + tag = aeadFinalize aeadFinal (B.length authTag) +-- | Simple AEAD decryption with the tag length given by the caller. +-- +-- 'aeadSimpleDecrypt' authenticates as many octets as the tag it is handed is +-- long. That is the caller's choice only for as long as the tag is: one read +-- off the wire is the peer's, and an attacker who truncates it picks how much +-- of it gets verified, down to 'minimumTagLength'. +-- +-- Here the length is a separate argument and a tag that is not exactly that +-- long is refused before anything is compared, so the peer cannot weaken the +-- check. Prefer this wherever the tag is attacker reachable. +tryAeadSimpleDecrypt + :: (ByteArrayAccess aad, ByteArray ba) + => AEAD a + -- ^ An AEAD Context + -> aad + -- ^ Associated\/additional data + -> ba + -- ^ Ciphertext + -> Int + -- ^ The tag length to authenticate, which the tag must match + -> AuthTag + -- ^ The authentication tag + -> Maybe ba + -- ^ Plaintext +tryAeadSimpleDecrypt aeadIni header input taglen authTag + | taglen < minimumTagLength = Nothing + | B.length authTag /= taglen = Nothing + | tag == authTag = Just output + | otherwise = Nothing + where + aead = aeadAppendHeader aeadIni header + (output, aeadFinal) = aeadDecrypt aead input + tag = aeadFinalize aeadFinal taglen diff --git a/Crypto/Cipher/Types/Base.hs b/Crypto/Cipher/Types/Base.hs --- a/Crypto/Cipher/Types/Base.hs +++ b/Crypto/Cipher/Types/Base.hs @@ -1,3 +1,6 @@ +{-# LANGUAGE ExistentialQuantification #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + -- | -- Module : Crypto.Cipher.Types.Base -- License : BSD-style @@ -6,60 +9,63 @@ -- Portability : Excellent -- -- Symmetric cipher basic types --- -{-# LANGUAGE ExistentialQuantification #-} -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -module Crypto.Cipher.Types.Base - ( KeySizeSpecifier(..) - , Cipher(..) - , AuthTag(..) - , AEADMode(..) - , CCM_M(..) - , CCM_L(..) - , DataUnitOffset - ) where +module Crypto.Cipher.Types.Base ( + KeySizeSpecifier (..), + Cipher (..), + AuthTag (..), + AEADMode (..), + CCM_M (..), + CCM_L (..), + DataUnitOffset, +) where -import Data.Word -import Crypto.Internal.ByteArray (Bytes, ByteArrayAccess, ByteArray) +import Crypto.Error +import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess, Bytes) import qualified Crypto.Internal.ByteArray as B -import Crypto.Internal.DeepSeq -import Crypto.Error +import Crypto.Internal.DeepSeq +import Data.Word -- | Different specifier for key size in bytes -data KeySizeSpecifier = - KeySizeRange Int Int -- ^ in the range [min,max] - | KeySizeEnum [Int] -- ^ one of the specified values - | KeySizeFixed Int -- ^ a specific size - deriving (Show,Eq) +data KeySizeSpecifier + = -- | in the range [min,max] + KeySizeRange Int Int + | -- | one of the specified values + KeySizeEnum [Int] + | -- | a specific size + KeySizeFixed Int + deriving (Show, Eq) -- | Offset inside an XTS data unit, measured in block size. type DataUnitOffset = Word32 -- | Authentication Tag for AE cipher mode -newtype AuthTag = AuthTag { unAuthTag :: Bytes } +newtype AuthTag = AuthTag {unAuthTag :: Bytes} deriving (Show, ByteArrayAccess, NFData) instance Eq AuthTag where (AuthTag a) == (AuthTag b) = B.constEq a b -data CCM_M = CCM_M4 | CCM_M6 | CCM_M8 | CCM_M10 | CCM_M12 | CCM_M14 | CCM_M16 deriving (Show, Eq) +data CCM_M = CCM_M4 | CCM_M6 | CCM_M8 | CCM_M10 | CCM_M12 | CCM_M14 | CCM_M16 + deriving (Show, Eq) data CCM_L = CCM_L2 | CCM_L3 | CCM_L4 deriving (Show, Eq) -- | AEAD Mode -data AEADMode = - AEAD_OCB -- OCB3 +data AEADMode + = AEAD_OCB -- OCB3 | AEAD_CCM Int CCM_M CCM_L | AEAD_EAX | AEAD_CWC | AEAD_GCM - deriving (Show,Eq) + deriving (Show, Eq) -- | Symmetric cipher class. class Cipher cipher where -- | Initialize a cipher context from a key - cipherInit :: ByteArray key => key -> CryptoFailable cipher + cipherInit :: ByteArray key => key -> CryptoFailable cipher + -- | Cipher name - cipherName :: cipher -> String + cipherName :: cipher -> String + -- | return the size of the key required for this cipher. -- Some cipher accept any size for key cipherKeySize :: cipher -> KeySizeSpecifier diff --git a/Crypto/Cipher/Types/Block.hs b/Crypto/Cipher/Types/Block.hs --- a/Crypto/Cipher/Types/Block.hs +++ b/Crypto/Cipher/Types/Block.hs @@ -1,3 +1,8 @@ +{-# LANGUAGE ExistentialQuantification #-} +{-# LANGUAGE MultiParamTypeClasses #-} +{-# LANGUAGE Rank2Types #-} +{-# LANGUAGE ViewPatterns #-} + -- | -- Module : Crypto.Cipher.Types.Block -- License : BSD-style @@ -6,51 +11,57 @@ -- Portability : Excellent -- -- Block cipher basic types --- -{-# LANGUAGE MultiParamTypeClasses #-} -{-# LANGUAGE ExistentialQuantification #-} -{-# LANGUAGE ViewPatterns #-} -{-# LANGUAGE Rank2Types #-} -module Crypto.Cipher.Types.Block - ( +module Crypto.Cipher.Types.Block ( -- * BlockCipher - BlockCipher(..) - , BlockCipher128(..) + BlockCipher (..), + BlockCipher128 (..), + -- * Initialization vector (IV) - , IV(..) - , makeIV - , nullIV - , ivAdd + IV (..), + makeIV, + nullIV, + ivAdd, + -- * XTS - , XTS + XTS, + -- * AEAD - , AEAD(..) + AEAD (..), -- , AEADState(..) - , AEADModeImpl(..) - , aeadAppendHeader - , aeadEncrypt - , aeadDecrypt - , aeadFinalize + AEADModeImpl (..), + aeadAppendHeader, + aeadEncrypt, + aeadDecrypt, + aeadFinalize, + -- * CFB 8 bits - --, cfb8Encrypt - --, cfb8Decrypt - ) where +) where -import Data.Word -import Crypto.Error -import Crypto.Cipher.Types.Base -import Crypto.Cipher.Types.GF -import Crypto.Cipher.Types.AEAD -import Crypto.Cipher.Types.Utils +-- , cfb8Encrypt +-- , cfb8Decrypt -import Crypto.Internal.ByteArray (ByteArrayAccess, ByteArray, withByteArray, Bytes) +import Crypto.Cipher.Types.AEAD +import Crypto.Cipher.Types.Base +import Crypto.Cipher.Types.GF +import Crypto.Error +import Data.Word + +import Crypto.Internal.ByteArray ( + ByteArray, + ByteArrayAccess, + Bytes, + withByteArray, + ) import qualified Crypto.Internal.ByteArray as B +import Data.ByteString (ByteString) +import qualified Data.ByteString as S -import Foreign.Ptr -import Foreign.Storable +import Foreign.Marshal.Utils (copyBytes) +import Foreign.Ptr +import Foreign.Storable -- | an IV parametrized by the cipher -data IV c = forall byteArray . ByteArray byteArray => IV !byteArray +data IV c = forall byteArray. ByteArray byteArray => IV !byteArray instance BlockCipher c => ByteArrayAccess (IV c) where withByteArray (IV z) f = withByteArray z f @@ -59,16 +70,21 @@ (IV a) == (IV b) = B.eq a b -- | XTS callback -type XTS ba cipher = (cipher, cipher) - -> IV cipher -- ^ Usually represent the Data Unit (e.g. disk sector) - -> DataUnitOffset -- ^ Offset in the data unit in number of blocks - -> ba -- ^ Data - -> ba -- ^ Processed Data +type XTS ba cipher = + (cipher, cipher) + -> IV cipher + -- ^ Usually represent the Data Unit (e.g. disk sector) + -> DataUnitOffset + -- ^ Offset in the data unit in number of blocks + -> ba + -- ^ Data + -> ba + -- ^ Processed Data -- | Symmetric block cipher class class Cipher cipher => BlockCipher cipher where -- | Return the size of block required for this block cipher - blockSize :: cipher -> Int + blockSize :: cipher -> Int -- | Encrypt blocks -- @@ -85,6 +101,7 @@ -- input need to be a multiple of the blocksize cbcEncrypt :: ByteArray ba => cipher -> IV cipher -> ba -> ba cbcEncrypt = cbcEncryptGeneric + -- | decrypt using the CBC mode. -- -- input need to be a multiple of the blocksize @@ -96,6 +113,7 @@ -- input need to be a multiple of the blocksize cfbEncrypt :: ByteArray ba => cipher -> IV cipher -> ba -> ba cfbEncrypt = cfbEncryptGeneric + -- | decrypt using the CFB mode. -- -- input need to be a multiple of the blocksize @@ -116,7 +134,8 @@ -- | Initialize a new AEAD State -- -- When Nothing is returns, it means the mode is not handled. - aeadInit :: ByteArrayAccess iv => AEADMode -> cipher -> iv -> CryptoFailable (AEAD cipher) + aeadInit + :: ByteArrayAccess iv => AEADMode -> cipher -> iv -> CryptoFailable (AEAD cipher) aeadInit _ _ _ = CryptoFailed CryptoError_AEADModeNotSupported -- | class of block cipher with a 128 bits block size @@ -125,118 +144,223 @@ -- -- input need to be a multiple of the blocksize, and the cipher -- need to process 128 bits block only - xtsEncrypt :: ByteArray ba - => (cipher, cipher) - -> IV cipher -- ^ Usually represent the Data Unit (e.g. disk sector) - -> DataUnitOffset -- ^ Offset in the data unit in number of blocks - -> ba -- ^ Plaintext - -> ba -- ^ Ciphertext + xtsEncrypt + :: ByteArray ba + => (cipher, cipher) + -> IV cipher + -- ^ Usually represent the Data Unit (e.g. disk sector) + -> DataUnitOffset + -- ^ Offset in the data unit in number of blocks + -> ba + -- ^ Plaintext + -> ba + -- ^ Ciphertext xtsEncrypt = xtsEncryptGeneric -- | decrypt using the XTS mode. -- -- input need to be a multiple of the blocksize, and the cipher -- need to process 128 bits block only - xtsDecrypt :: ByteArray ba - => (cipher, cipher) - -> IV cipher -- ^ Usually represent the Data Unit (e.g. disk sector) - -> DataUnitOffset -- ^ Offset in the data unit in number of blocks - -> ba -- ^ Ciphertext - -> ba -- ^ Plaintext + xtsDecrypt + :: ByteArray ba + => (cipher, cipher) + -> IV cipher + -- ^ Usually represent the Data Unit (e.g. disk sector) + -> DataUnitOffset + -- ^ Offset in the data unit in number of blocks + -> ba + -- ^ Ciphertext + -> ba + -- ^ Plaintext xtsDecrypt = xtsDecryptGeneric -- | Create an IV for a specified block cipher makeIV :: (ByteArrayAccess b, BlockCipher c) => b -> Maybe (IV c) makeIV b = toIV undefined - where toIV :: BlockCipher c => c -> Maybe (IV c) - toIV cipher - | B.length b == sz = Just $ IV (B.convert b :: Bytes) - | otherwise = Nothing - where sz = blockSize cipher + where + toIV :: BlockCipher c => c -> Maybe (IV c) + toIV cipher + | B.length b == sz = Just $ IV (B.convert b :: Bytes) + | otherwise = Nothing + where + sz = blockSize cipher -- | Create an IV that is effectively representing the number 0 nullIV :: BlockCipher c => IV c nullIV = toIV undefined - where toIV :: BlockCipher c => c -> IV c - toIV cipher = IV (B.zero (blockSize cipher) :: Bytes) + where + toIV :: BlockCipher c => c -> IV c + toIV cipher = IV (B.zero (blockSize cipher) :: Bytes) -- | Increment an IV by a number. -- -- Assume the IV is in Big Endian format. ivAdd :: IV c -> Int -> IV c ivAdd (IV b) i = IV $ copy b - where copy :: ByteArray bs => bs -> bs - copy bs = B.copyAndFreeze bs $ loop i (B.length bs - 1) + where + copy :: ByteArray bs => bs -> bs + copy bs = B.copyAndFreeze bs $ loop i (B.length bs - 1) - loop :: Int -> Int -> Ptr Word8 -> IO () - loop acc ofs p - | ofs < 0 = return () - | otherwise = do - v <- peek (p `plusPtr` ofs) :: IO Word8 - let accv = acc + fromIntegral v - (hi,lo) = accv `divMod` 256 - poke (p `plusPtr` ofs) (fromIntegral lo :: Word8) - loop hi (ofs - 1) p + loop :: Int -> Int -> Ptr Word8 -> IO () + loop acc ofs p + | ofs < 0 = return () + | otherwise = do + v <- peek (p `plusPtr` ofs) :: IO Word8 + let accv = acc + fromIntegral v + (hi, lo) = accv `divMod` 256 + poke (p `plusPtr` ofs) (fromIntegral lo :: Word8) + loop hi (ofs - 1) p -cbcEncryptGeneric :: (ByteArray ba, BlockCipher cipher) => cipher -> IV cipher -> ba -> ba -cbcEncryptGeneric cipher ivini input = mconcat $ doEnc ivini $ chunk (blockSize cipher) input - where doEnc _ [] = [] - doEnc iv (i:is) = - let o = ecbEncrypt cipher $ B.xor iv i - in o : doEnc (IV o) is +cbcEncryptGeneric + :: (ByteArray ba, BlockCipher cipher) => cipher -> IV cipher -> ba -> ba +cbcEncryptGeneric cipher ivini input = + B.concat $ doEnc ivini $ slices (blockSize cipher) input + where + -- the blocks of the message as shared slices rather than copies: each + -- block already costs an exclusive or and a call into the cipher, both of + -- which allocate, and the chain makes it one block at a time + doEnc _ [] = [] + doEnc iv (i : is) = + let o = ecbEncrypt cipher (B.bxor iv i) `asTypeOf` input + in o : doEnc (IV o) is -cbcDecryptGeneric :: (ByteArray ba, BlockCipher cipher) => cipher -> IV cipher -> ba -> ba -cbcDecryptGeneric cipher ivini input = mconcat $ doDec ivini $ chunk (blockSize cipher) input +-- | How many blocks to hand the cipher at a time in the modes whose blocks do +-- not depend on one another. Enough that the cost of a call disappears, few +-- enough that what it copies stays in cache. +blocksPerCall :: Int +blocksPerCall = 2048 + +-- | The input in slices of that many blocks. A ByteString shares where +-- 'B.splitAt' copies the rest of the message, once per slice. +slices :: ByteArray ba => Int -> ba -> [ByteString] +slices bytes input = go (B.convert input) where - doDec _ [] = [] - doDec iv (i:is) = - let o = B.xor iv $ ecbDecrypt cipher i - in o : doDec (IV i) is + go bs + | S.null bs = [] + | otherwise = let (hd, tl) = S.splitAt bytes bs in hd : go tl -cfbEncryptGeneric :: (ByteArray ba, BlockCipher cipher) => cipher -> IV cipher -> ba -> ba -cfbEncryptGeneric cipher ivini input = mconcat $ doEnc ivini $ chunk (blockSize cipher) input +-- | The previous ciphertext block of every block in a slice: the incoming IV, +-- and then the slice itself one block short. +shiftedBy :: BlockCipher cipher => Int -> IV cipher -> ByteString -> ByteString +shiftedBy bsz iv c = S.append (B.convert iv) (S.take (S.length c - bsz) c) + +-- | The last whole block of a slice, which is where the next one carries on +-- from. +lastBlockOf :: Int -> ByteString -> IV cipher +lastBlockOf bsz c = IV (B.convert (S.drop (S.length c - bsz) c) :: Bytes) + +-- | Decryption does not chain: @P_i@ is @D(C_i)@ exclusive-ored with +-- @C_(i-1)@, so a whole slice is decrypted in one call and exclusive-ored with +-- the ciphertext moved along by a block. +cbcDecryptGeneric + :: (ByteArray ba, BlockCipher cipher) => cipher -> IV cipher -> ba -> ba +cbcDecryptGeneric cipher ivini input = + B.concat $ doDec ivini $ slices (blocksPerCall * bsz) input where - doEnc _ [] = [] - doEnc (IV iv) (i:is) = - let o = B.xor i $ ecbEncrypt cipher iv - in o : doEnc (IV o) is + bsz = blockSize cipher + conv x = B.convert x `asTypeOf` input + xorB a b = B.bxor a b `asTypeOf` input + doDec _ [] = [] + doDec iv (c : cs) = + xorB (ecbDecrypt cipher (conv c)) (conv (shiftedBy bsz iv c)) + : doDec (lastBlockOf bsz c) cs -cfbDecryptGeneric :: (ByteArray ba, BlockCipher cipher) => cipher -> IV cipher -> ba -> ba -cfbDecryptGeneric cipher ivini input = mconcat $ doDec ivini $ chunk (blockSize cipher) input +cfbEncryptGeneric + :: (ByteArray ba, BlockCipher cipher) => cipher -> IV cipher -> ba -> ba +cfbEncryptGeneric cipher ivini input = + B.concat $ doEnc ivini $ slices (blockSize cipher) input where - doDec _ [] = [] - doDec (IV iv) (i:is) = - let o = B.xor i $ ecbEncrypt cipher iv - in o : doDec (IV i) is + doEnc _ [] = [] + doEnc (IV iv) (i : is) = + let o = B.bxor i (ecbEncrypt cipher iv) `asTypeOf` input + in o : doEnc (IV o) is -ctrCombineGeneric :: (ByteArray ba, BlockCipher cipher) => cipher -> IV cipher -> ba -> ba -ctrCombineGeneric cipher ivini input = mconcat $ doCnt ivini $ chunk (blockSize cipher) input - where doCnt _ [] = [] - doCnt iv@(IV ivd) (i:is) = - let ivEnc = ecbEncrypt cipher ivd - in B.xor i ivEnc : doCnt (ivAdd iv 1) is +-- | Nor does this one: @P_i@ is @C_i@ exclusive-ored with @E(C_(i-1))@, and +-- what gets encrypted is again the ciphertext moved along by a block. +cfbDecryptGeneric + :: (ByteArray ba, BlockCipher cipher) => cipher -> IV cipher -> ba -> ba +cfbDecryptGeneric cipher ivini input = + B.concat $ doDec ivini $ slices (blocksPerCall * bsz) input + where + bsz = blockSize cipher + conv x = B.convert x `asTypeOf` input + xorB a b = B.bxor a b `asTypeOf` input + doDec _ [] = [] + doDec iv (c : cs) = + xorB (conv c) (ecbEncrypt cipher (conv (shiftedBy bsz iv c))) + : doDec (lastBlockOf bsz c) cs +-- | The counters do not depend on the message at all, so a slice of them is +-- built and encrypted in one call. +ctrCombineGeneric + :: (ByteArray ba, BlockCipher cipher) => cipher -> IV cipher -> ba -> ba +ctrCombineGeneric cipher ivini input = + B.concat $ doCnt ivini $ slices (blocksPerCall * bsz) input + where + bsz = blockSize cipher + conv x = B.convert x `asTypeOf` input + xorB a b = B.bxor a b `asTypeOf` input + doCnt _ [] = [] + doCnt iv (m : ms) = + xorB (conv m) (ecbEncrypt cipher (counters iv n `asTypeOf` input)) + : doCnt (ivAdd iv n) ms + where + n = (S.length m + bsz - 1) `div` bsz + +-- | The counters for a slice: the given one, then each next as the one before +-- it plus one. +-- +-- One buffer, filled in place. Asking 'ivAdd' for each of them separately +-- allocated a block per block and walked the whole width of the counter from +-- the original every time, which cost more than the cipher did: counter mode +-- ran at a quarter of what the same cipher managed in ECB, and at an eighth +-- for Blowfish. +counters :: (ByteArray ba, BlockCipher cipher) => IV cipher -> Int -> ba +counters iv n = B.allocAndFreeze (n * bsz) fill + where + bsz = B.length iv + + fill p = do + B.copyByteArrayToPtr iv p + let go k prev + | k >= n = return () + | otherwise = do + let this = prev `plusPtr` bsz + copyBytes this prev bsz + increment this (bsz - 1) + go (k + 1) this + go 1 p + + increment p ofs + | ofs < 0 = return () + | otherwise = do + v <- peek (p `plusPtr` ofs) :: IO Word8 + poke (p `plusPtr` ofs) (v + 1) + if v == 0xff then increment p (ofs - 1) else return () + xtsEncryptGeneric :: (ByteArray ba, BlockCipher128 cipher) => XTS ba cipher xtsEncryptGeneric = xtsGeneric ecbEncrypt xtsDecryptGeneric :: (ByteArray ba, BlockCipher128 cipher) => XTS ba cipher xtsDecryptGeneric = xtsGeneric ecbDecrypt -xtsGeneric :: (ByteArray ba, BlockCipher128 cipher) - => (cipher -> ba -> ba) - -> (cipher, cipher) - -> IV cipher - -> DataUnitOffset - -> ba - -> ba +xtsGeneric + :: (ByteArray ba, BlockCipher128 cipher) + => (cipher -> ba -> ba) + -> (cipher, cipher) + -> IV cipher + -> DataUnitOffset + -> ba + -> ba xtsGeneric f (cipher, tweakCipher) (IV iv) sPoint input = - mconcat $ doXts iniTweak $ chunk (blockSize cipher) input - where encTweak = ecbEncrypt tweakCipher iv - iniTweak = iterate xtsGFMul encTweak !! fromIntegral sPoint - doXts _ [] = [] - doXts tweak (i:is) = - let o = B.xor (f cipher $ B.xor i tweak) tweak - in o : doXts (xtsGFMul tweak) is + B.concat $ doXts iniTweak $ slices (blockSize cipher) input + where + encTweak = ecbEncrypt tweakCipher iv + iniTweak = iterate xtsGFMul encTweak !! fromIntegral sPoint + doXts _ [] = [] + doXts tweak (i : is) = + let o = B.bxor (f cipher (B.bxor i tweak)) tweak `asTypeOf` input + in o : doXts (xtsGFMul tweak) is {- -- | Encrypt using CFB mode in 8 bit output diff --git a/Crypto/Cipher/Types/GF.hs b/Crypto/Cipher/Types/GF.hs --- a/Crypto/Cipher/Types/GF.hs +++ b/Crypto/Cipher/Types/GF.hs @@ -6,19 +6,17 @@ -- Portability : Excellent -- -- Slow Galois Field arithmetic for generic XTS and GCM implementation --- -module Crypto.Cipher.Types.GF - ( +module Crypto.Cipher.Types.GF ( -- * XTS support - xtsGFMul - ) where + xtsGFMul, +) where -import Crypto.Internal.Imports -import Crypto.Internal.ByteArray (ByteArray, withByteArray) +import Crypto.Internal.ByteArray (ByteArray, withByteArray) import qualified Crypto.Internal.ByteArray as B -import Foreign.Storable -import Foreign.Ptr -import Data.Bits +import Crypto.Internal.Imports +import Data.Bits +import Foreign.Ptr +import Foreign.Storable -- | Compute the gfmul with the XTS polynomial -- @@ -29,19 +27,22 @@ xtsGFMul b | len == 16 = B.allocAndFreeze len $ \dst -> - withByteArray b $ \src -> do - (hi,lo) <- gf <$> peek (castPtr src) <*> peek (castPtr src `plusPtr` 8) - poke (castPtr dst) lo - poke (castPtr dst `plusPtr` 8) hi + withByteArray b $ \src -> do + (hi, lo) <- gf <$> peek (castPtr src) <*> peek (castPtr src `plusPtr` 8) + poke (castPtr dst) lo + poke (castPtr dst `plusPtr` 8) hi | otherwise = error "unsupported block size in GF" - where gf :: Word64 -> Word64 -> (Word64, Word64) - gf srcLo srcHi = - ((if carryLo then (.|. 1) else id) (srcHi `shiftL` 1) - ,(if carryHi then xor 0x87 else id) $ (srcLo `shiftL` 1) - ) - where carryHi = srcHi `testBit` 63 - carryLo = srcLo `testBit` 63 - len = B.length b + where + gf :: Word64 -> Word64 -> (Word64, Word64) + gf srcLo srcHi = + ( (if carryLo then (.|. 1) else id) (srcHi `shiftL` 1) + , (if carryHi then xor 0x87 else id) $ (srcLo `shiftL` 1) + ) + where + carryHi = srcHi `testBit` 63 + carryLo = srcLo `testBit` 63 + len = B.length b + {- const uint64_t gf_mask = cpu_to_le64(0x8000000000000000ULL); uint64_t r = ((a->q[1] & gf_mask) ? cpu_to_le64(0x87) : 0); diff --git a/Crypto/Cipher/Types/Stream.hs b/Crypto/Cipher/Types/Stream.hs --- a/Crypto/Cipher/Types/Stream.hs +++ b/Crypto/Cipher/Types/Stream.hs @@ -6,10 +6,9 @@ -- Portability : Excellent -- -- Stream cipher basic types --- -module Crypto.Cipher.Types.Stream - ( StreamCipher(..) - ) where +module Crypto.Cipher.Types.Stream ( + StreamCipher (..), +) where import Crypto.Cipher.Types.Base import Crypto.Internal.ByteArray (ByteArray) diff --git a/Crypto/Cipher/Types/Utils.hs b/Crypto/Cipher/Types/Utils.hs --- a/Crypto/Cipher/Types/Utils.hs +++ b/Crypto/Cipher/Types/Utils.hs @@ -6,16 +6,23 @@ -- Portability : Excellent -- -- Basic utility for cipher related stuff --- module Crypto.Cipher.Types.Utils where -import Crypto.Internal.ByteArray (ByteArray) +import Crypto.Internal.ByteArray (ByteArray) import qualified Crypto.Internal.ByteArray as B +import Data.ByteString (ByteString) +import qualified Data.ByteString as S -- | Chunk some input byte array into @sz byte list of byte array. +-- +-- The input is held as a 'ByteString' while it is cut up, because +-- 'Crypto.Internal.ByteArray.splitAt' copies both halves whatever the type +-- underneath: cutting a block off the front that way copies the rest of the +-- message, once per block, and so the message about n/2 times. A ByteString +-- shares instead, and only the blocks themselves are copied out. chunk :: ByteArray b => Int -> b -> [b] -chunk sz bs = split bs - where split b | B.length b <= sz = [b] - | otherwise = - let (b1, b2) = B.splitAt sz b - in b1 : split b2 +chunk sz bs = map B.convert (split (B.convert bs :: ByteString)) + where + split b + | S.length b <= sz = [b] + | otherwise = let (b1, b2) = S.splitAt sz b in b1 : split b2 diff --git a/Crypto/Cipher/Utils.hs b/Crypto/Cipher/Utils.hs --- a/Crypto/Cipher/Utils.hs +++ b/Crypto/Cipher/Utils.hs @@ -1,18 +1,21 @@ -module Crypto.Cipher.Utils - ( validateKeySize - ) where +module Crypto.Cipher.Utils ( + validateKeySize, +) where -import Crypto.Error import Crypto.Cipher.Types +import Crypto.Error import Data.ByteArray as BA -validateKeySize :: (ByteArrayAccess key, Cipher cipher) => cipher -> key -> CryptoFailable key -validateKeySize c k = if validKeyLength - then CryptoPassed k - else CryptoFailed CryptoError_KeySizeInvalid - where keyLength = BA.length k - validKeyLength = case cipherKeySize c of - KeySizeRange low high -> keyLength >= low && keyLength <= high - KeySizeEnum lengths -> keyLength `elem` lengths - KeySizeFixed s -> keyLength == s +validateKeySize + :: (ByteArrayAccess key, Cipher cipher) => cipher -> key -> CryptoFailable key +validateKeySize c k = + if validKeyLength + then CryptoPassed k + else CryptoFailed CryptoError_KeySizeInvalid + where + keyLength = BA.length k + validKeyLength = case cipherKeySize c of + KeySizeRange low high -> keyLength >= low && keyLength <= high + KeySizeEnum lengths -> keyLength `elem` lengths + KeySizeFixed s -> keyLength == s diff --git a/Crypto/Cipher/XSalsa.hs b/Crypto/Cipher/XSalsa.hs --- a/Crypto/Cipher/XSalsa.hs +++ b/Crypto/Cipher/XSalsa.hs @@ -1,3 +1,5 @@ +{-# LANGUAGE ForeignFunctionInterface #-} + -- | -- Module : Crypto.Cipher.XSalsa -- License : BSD-style @@ -8,42 +10,48 @@ -- Implementation of XSalsa20 algorithm -- -- Based on the Salsa20 algorithm with 256 bit key extended with 192 bit nonce - -{-# LANGUAGE ForeignFunctionInterface #-} -module Crypto.Cipher.XSalsa - ( initialize - , derive - , combine - , generate - , State - ) where +module Crypto.Cipher.XSalsa ( + initialize, + derive, + combine, + generate, + State, +) where -import Crypto.Internal.ByteArray (ByteArrayAccess) +import Crypto.Cipher.Salsa hiding (initialize) +import Crypto.Internal.ByteArray (ByteArrayAccess) import qualified Crypto.Internal.ByteArray as B -import Crypto.Internal.Compat -import Crypto.Internal.Imports -import Foreign.Ptr -import Crypto.Cipher.Salsa hiding (initialize) +import Crypto.Internal.Compat +import Crypto.Internal.Imports +import Foreign.Ptr -- | Initialize a new XSalsa context with the number of rounds, -- the key and the nonce associated. -initialize :: (ByteArrayAccess key, ByteArrayAccess nonce) - => Int -- ^ number of rounds (8,12,20) - -> key -- ^ the key (256 bits) - -> nonce -- ^ the nonce (192 bits) - -> State -- ^ the initial XSalsa state +initialize + :: (ByteArrayAccess key, ByteArrayAccess nonce) + => Int + -- ^ number of rounds (8,12,20) + -> key + -- ^ the key (256 bits) + -> nonce + -- ^ the nonce (192 bits) + -> State + -- ^ the initial XSalsa state initialize nbRounds key nonce - | kLen /= 32 = error "XSalsa: key length should be 256 bits" - | nonceLen /= 24 = error "XSalsa: nonce length should be 192 bits" - | nbRounds `notElem` [8,12,20] = error "XSalsa: rounds should be 8, 12 or 20" + | kLen /= 32 = + error "XSalsa: key length should be 256 bits" + | nonceLen /= 24 = + error "XSalsa: nonce length should be 192 bits" + | nbRounds `notElem` [8, 12, 20] = error "XSalsa: rounds should be 8, 12 or 20" | otherwise = unsafeDoIO $ do stPtr <- B.alloc 132 $ \stPtr -> - B.withByteArray nonce $ \noncePtr -> - B.withByteArray key $ \keyPtr -> - ccrypton_xsalsa_init stPtr nbRounds kLen keyPtr nonceLen noncePtr + B.withByteArray nonce $ \noncePtr -> + B.withByteArray key $ \keyPtr -> + ccrypton_xsalsa_init stPtr nbRounds kLen keyPtr nonceLen noncePtr return $ State stPtr - where kLen = B.length key - nonceLen = B.length nonce + where + kLen = B.length key + nonceLen = B.length nonce -- | Use an already initialized context and new nonce material to derive another -- XSalsa context. @@ -55,21 +63,27 @@ -- -- The output context always uses the same number of rounds as the input -- context. -derive :: ByteArrayAccess nonce - => State -- ^ base XSalsa state - -> nonce -- ^ the remainder nonce (128 bits) - -> State -- ^ the new XSalsa state +derive + :: ByteArrayAccess nonce + => State + -- ^ base XSalsa state + -> nonce + -- ^ the remainder nonce (128 bits) + -> State + -- ^ the new XSalsa state derive (State stPtr') nonce | nonceLen /= 16 = error "XSalsa: nonce length should be 128 bits" | otherwise = unsafeDoIO $ do stPtr <- B.copy stPtr' $ \stPtr -> - B.withByteArray nonce $ \noncePtr -> + B.withByteArray nonce $ \noncePtr -> ccrypton_xsalsa_derive stPtr nonceLen noncePtr return $ State stPtr - where nonceLen = B.length nonce + where + nonceLen = B.length nonce foreign import ccall "crypton_xsalsa_init" - ccrypton_xsalsa_init :: Ptr State -> Int -> Int -> Ptr Word8 -> Int -> Ptr Word8 -> IO () + ccrypton_xsalsa_init + :: Ptr State -> Int -> Int -> Ptr Word8 -> Int -> Ptr Word8 -> IO () foreign import ccall "crypton_xsalsa_derive" ccrypton_xsalsa_derive :: Ptr State -> Int -> Ptr Word8 -> IO () diff --git a/Crypto/ConstructHash/MiyaguchiPreneel.hs b/Crypto/ConstructHash/MiyaguchiPreneel.hs --- a/Crypto/ConstructHash/MiyaguchiPreneel.hs +++ b/Crypto/ConstructHash/MiyaguchiPreneel.hs @@ -1,3 +1,5 @@ +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + -- | -- Module : Crypto.ConstructHash.MiyaguchiPreneel -- License : BSD-style @@ -7,62 +9,70 @@ -- -- Provide the hash function construction method from block cipher -- --- -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -module Crypto.ConstructHash.MiyaguchiPreneel - ( compute, compute' - , MiyaguchiPreneel - ) where +module Crypto.ConstructHash.MiyaguchiPreneel ( + compute, + compute', + MiyaguchiPreneel, +) where -import Data.List (foldl') +import Data.List (foldl') +import Prelude hiding (foldl') -import Crypto.Data.Padding (pad, Format (ZERO)) -import Crypto.Cipher.Types -import Crypto.Error (throwCryptoError) -import Crypto.Internal.ByteArray (ByteArrayAccess, ByteArray, Bytes) +import Crypto.Cipher.Types +import Crypto.Cipher.Types.Utils (chunk) +import Crypto.Data.Padding (Format (ZERO), pad) +import Crypto.Error (throwCryptoError) +import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess, Bytes) import qualified Crypto.Internal.ByteArray as B - newtype MiyaguchiPreneel a = MP Bytes deriving (ByteArrayAccess) instance Eq (MiyaguchiPreneel a) where - MP b1 == MP b2 = B.constEq b1 b2 - + MP b1 == MP b2 = B.constEq b1 b2 -- | Compute Miyaguchi-Preneel one way compress using the supplied block cipher. -compute' :: (ByteArrayAccess bin, BlockCipher cipher) - => (Bytes -> cipher) -- ^ key build function to compute Miyaguchi-Preneel. care about block-size and key-size - -> bin -- ^ input message - -> MiyaguchiPreneel cipher -- ^ output tag -compute' g = MP . foldl' (step $ g) (B.replicate bsz 0) . chunks . pad (ZERO bsz) . B.convert +compute' + :: (ByteArrayAccess bin, BlockCipher cipher) + => (Bytes -> cipher) + -- ^ key build function to compute Miyaguchi-Preneel. care about block-size and key-size + -> bin + -- ^ input message + -> MiyaguchiPreneel cipher + -- ^ output tag +compute' g = + MP . foldl' (step $ g) (B.replicate bsz 0) . chunks . pad (ZERO bsz) . B.convert where - bsz = blockSize ( g B.empty {- dummy to get block size -} ) + bsz = blockSize (g B.empty {- dummy to get block size -}) + -- 'chunk' slices rather than splitting the message, which copied whatever + -- was left of it once per block chunks msg - | B.null msg = [] - | otherwise = (hd :: Bytes) : chunks tl - where - (hd, tl) = B.splitAt bsz msg + | B.null msg = [] + | otherwise = chunk bsz (msg :: Bytes) -- | Compute Miyaguchi-Preneel one way compress using the inferred block cipher. -- Only safe when KEY-SIZE equals to BLOCK-SIZE. -- -- Simple usage /mp' msg :: MiyaguchiPreneel AES128/ -compute :: (ByteArrayAccess bin, BlockCipher cipher) - => bin -- ^ input message - -> MiyaguchiPreneel cipher -- ^ output tag +compute + :: (ByteArrayAccess bin, BlockCipher cipher) + => bin + -- ^ input message + -> MiyaguchiPreneel cipher + -- ^ output tag compute = compute' $ throwCryptoError . cipherInit -- | computation step of Miyaguchi-Preneel -step :: (ByteArray ba, BlockCipher k) - => (ba -> k) - -> ba - -> ba - -> ba +step + :: (ByteArray ba, BlockCipher k) + => (ba -> k) + -> ba + -> ba + -> ba step g iv msg = ecbEncrypt k msg `bxor` iv `bxor` msg where k = g iv bxor :: ByteArray ba => ba -> ba -> ba -bxor = B.xor +bxor = B.bxor diff --git a/Crypto/Data/AFIS.hs b/Crypto/Data/AFIS.hs --- a/Crypto/Data/AFIS.hs +++ b/Crypto/Data/AFIS.hs @@ -1,3 +1,5 @@ +{-# LANGUAGE ScopedTypeVariables #-} + -- | -- Module : Crypto.Data.AFIS -- License : BSD-style @@ -11,26 +13,27 @@ -- The algorithm bloats an arbitrary secret with many bits that are necessary for -- the recovery of the key (merge), and allow greater way to permanently -- destroy a key stored on disk. --- -{-# LANGUAGE ScopedTypeVariables #-} -module Crypto.Data.AFIS - ( split - , merge - ) where +module Crypto.Data.AFIS ( + split, + trySplit, + merge, + tryMerge, +) where -import Crypto.Hash -import Crypto.Random.Types -import Crypto.Internal.Compat -import Control.Monad (forM_, foldM) -import Data.Word -import Data.Bits -import Foreign.Storable -import Foreign.Ptr +import Control.Monad (foldM, forM_) +import Crypto.Error +import Crypto.Hash +import Crypto.Internal.Compat +import Crypto.Random.Types +import Data.Bits +import Data.Word +import Foreign.Ptr +import Foreign.Storable -import Crypto.Internal.ByteArray (ByteArray, Bytes, MemView(..)) +import Crypto.Internal.ByteArray (ByteArray, Bytes, MemView (..)) import qualified Crypto.Internal.ByteArray as B -import Data.Memory.PtrMethods (memSet, memCopy) +import Data.Memory.PtrMethods (memCopy, memSet) -- | Split data to diffused data, using a random generator and -- an hash algorithm. @@ -50,56 +53,118 @@ -- where acc is : -- acc(n+1) = hash (n ++ rand(n)) ^ acc(n) -- -split :: (ByteArray ba, HashAlgorithm hash, DRG rng) - => hash -- ^ Hash algorithm to use as diffuser - -> rng -- ^ Random generator to use - -> Int -- ^ Number of times to diffuse the data. - -> ba -- ^ original data to diffuse. - -> (ba, rng) -- ^ The diffused data -{-# NOINLINE split #-} -split hashAlg rng expandTimes src - | expandTimes <= 1 = error "invalid expandTimes value" - | otherwise = unsafeDoIO $ do +-- The data has to be at least one byte long and the number of times to diffuse +-- it at least two; anything else raises 'CryptoError_ParameterInvalid', which +-- 'trySplit' reports as 'CryptoFailed' instead. +split + :: (ByteArray ba, HashAlgorithm hash, DRG rng) + => hash + -- ^ Hash algorithm to use as diffuser + -> rng + -- ^ Random generator to use + -> Int + -- ^ Number of times to diffuse the data. + -> ba + -- ^ original data to diffuse. + -> (ba, rng) + -- ^ The diffused data +split hashAlg rng expandTimes src = + throwCryptoError (trySplit hashAlg rng expandTimes src) + +-- | Split data to diffused data, reporting parameters the splitter cannot work +-- with rather than raising. +-- +-- See 'split'. +trySplit + :: (ByteArray ba, HashAlgorithm hash, DRG rng) + => hash + -- ^ Hash algorithm to use as diffuser + -> rng + -- ^ Random generator to use + -> Int + -- ^ Number of times to diffuse the data. + -> ba + -- ^ original data to diffuse. + -> CryptoFailable (ba, rng) + -- ^ The diffused data +{-# NOINLINE trySplit #-} +trySplit hashAlg rng expandTimes src + | expandTimes < 2 = CryptoFailed CryptoError_ParameterInvalid + -- an empty secret splits into nothing at all, which merge cannot undo + | blockSize == 0 = CryptoFailed CryptoError_ParameterInvalid + | otherwise = CryptoPassed $ unsafeDoIO $ do (rng', bs) <- B.allocRet diffusedLen runOp return (bs, rng') - where diffusedLen = blockSize * expandTimes - blockSize = B.length src - runOp dstPtr = do - let lastBlock = dstPtr `plusPtr` (blockSize * (expandTimes-1)) - memSet lastBlock 0 blockSize - let randomBlockPtrs = map (plusPtr dstPtr . (*) blockSize) [0..(expandTimes-2)] - rng' <- foldM fillRandomBlock rng randomBlockPtrs - mapM_ (addRandomBlock lastBlock) randomBlockPtrs - B.withByteArray src $ \srcPtr -> xorMem srcPtr lastBlock blockSize - return rng' - addRandomBlock lastBlock blockPtr = do - xorMem blockPtr lastBlock blockSize - diffuse hashAlg lastBlock blockSize - fillRandomBlock g blockPtr = do - let (rand :: Bytes, g') = randomBytesGenerate blockSize g - B.withByteArray rand $ \randPtr -> memCopy blockPtr randPtr blockSize - return g' + where + diffusedLen = blockSize * expandTimes + blockSize = B.length src + runOp dstPtr = do + let lastBlock = dstPtr `plusPtr` (blockSize * (expandTimes - 1)) + memSet lastBlock 0 blockSize + let randomBlockPtrs = map (plusPtr dstPtr . (*) blockSize) [0 .. (expandTimes - 2)] + rng' <- foldM fillRandomBlock rng randomBlockPtrs + mapM_ (addRandomBlock lastBlock) randomBlockPtrs + B.withByteArray src $ \srcPtr -> xorMem srcPtr lastBlock blockSize + return rng' + addRandomBlock lastBlock blockPtr = do + xorMem blockPtr lastBlock blockSize + diffuse hashAlg lastBlock blockSize + fillRandomBlock g blockPtr = do + let (rand :: Bytes, g') = randomBytesGenerate blockSize g + B.withByteArray rand $ \randPtr -> memCopy blockPtr randPtr blockSize + return g' -- | Merge previously diffused data back to the original data. -merge :: (ByteArray ba, HashAlgorithm hash) - => hash -- ^ Hash algorithm used as diffuser - -> Int -- ^ Number of times to un-diffuse the data - -> ba -- ^ Diffused data - -> ba -- ^ Original data -{-# NOINLINE merge #-} -merge hashAlg expandTimes bs - | r /= 0 = error "diffused data not a multiple of expandTimes" - | originalSize <= 0 = error "diffused data null" - | otherwise = B.allocAndFreeze originalSize $ \dstPtr -> +-- +-- The diffused data has to be a non-empty multiple of the number of times it +-- was diffused, and that number at least two -- the same values 'split' +-- accepts. Anything else raises 'CryptoError_ParameterInvalid', which +-- 'tryMerge' reports as 'CryptoFailed' instead. +merge + :: (ByteArray ba, HashAlgorithm hash) + => hash + -- ^ Hash algorithm used as diffuser + -> Int + -- ^ Number of times to un-diffuse the data + -> ba + -- ^ Diffused data + -> ba + -- ^ Original data +merge hashAlg expandTimes bs = + throwCryptoError (tryMerge hashAlg expandTimes bs) + +-- | Merge previously diffused data back to the original data, reporting +-- parameters the merger cannot work with rather than raising. +-- +-- See 'merge'. +tryMerge + :: (ByteArray ba, HashAlgorithm hash) + => hash + -- ^ Hash algorithm used as diffuser + -> Int + -- ^ Number of times to un-diffuse the data + -> ba + -- ^ Diffused data + -> CryptoFailable ba + -- ^ Original data +{-# NOINLINE tryMerge #-} +tryMerge hashAlg expandTimes bs + -- guards the quotRem below, which for zero would divide by zero; a count + -- of one would return the diffused data itself as the secret + | expandTimes < 2 = CryptoFailed CryptoError_ParameterInvalid + | r /= 0 = CryptoFailed CryptoError_ParameterInvalid + | originalSize <= 0 = CryptoFailed CryptoError_ParameterInvalid + | otherwise = CryptoPassed $ B.allocAndFreeze originalSize $ \dstPtr -> B.withByteArray bs $ \srcPtr -> do memSet dstPtr 0 originalSize - forM_ [0..(expandTimes-2)] $ \i -> do + forM_ [0 .. (expandTimes - 2)] $ \i -> do xorMem (srcPtr `plusPtr` (i * originalSize)) dstPtr originalSize diffuse hashAlg dstPtr originalSize - xorMem (srcPtr `plusPtr` ((expandTimes-1) * originalSize)) dstPtr originalSize + xorMem (srcPtr `plusPtr` ((expandTimes - 1) * originalSize)) dstPtr originalSize return () - where (originalSize,r) = len `quotRem` expandTimes - len = B.length bs + where + (originalSize, r) = len `quotRem` expandTimes + len = B.length bs -- | inplace Xor with an input -- dst = src `xor` dst @@ -107,42 +172,51 @@ xorMem src dst sz | sz `mod` 64 == 0 = loop 8 (castPtr src :: Ptr Word64) (castPtr dst) sz | sz `mod` 32 == 0 = loop 4 (castPtr src :: Ptr Word32) (castPtr dst) sz - | otherwise = loop 1 (src :: Ptr Word8) dst sz - where loop _ _ _ 0 = return () - loop incr s d n = do a <- peek s - b <- peek d - poke d (a `xor` b) - loop incr (s `plusPtr` incr) (d `plusPtr` incr) (n-incr) + | otherwise = loop 1 (src :: Ptr Word8) dst sz + where + loop _ _ _ 0 = return () + loop incr s d n = do + a <- peek s + b <- peek d + poke d (a `xor` b) + loop incr (s `plusPtr` incr) (d `plusPtr` incr) (n - incr) -diffuse :: HashAlgorithm hash - => hash -- ^ Hash function to use as diffuser - -> Ptr Word8 -- ^ buffer to diffuse, modify in place - -> Int -- ^ length of buffer to diffuse - -> IO () +diffuse + :: HashAlgorithm hash + => hash + -- ^ Hash function to use as diffuser + -> Ptr Word8 + -- ^ buffer to diffuse, modify in place + -> Int + -- ^ length of buffer to diffuse + -> IO () diffuse hashAlg src sz = loop src 0 - where (full,pad) = sz `quotRem` digestSize - loop s i - | i < full = do h <- hashBlock i s digestSize - B.withByteArray h $ \hPtr -> memCopy s hPtr digestSize - loop (s `plusPtr` digestSize) (i+1) - | pad /= 0 = do h <- hashBlock i s pad - B.withByteArray h $ \hPtr -> memCopy s hPtr pad - return () - | otherwise = return () + where + (full, pad) = sz `quotRem` digestSize + loop s i + | i < full = do + h <- hashBlock i s digestSize + B.withByteArray h $ \hPtr -> memCopy s hPtr digestSize + loop (s `plusPtr` digestSize) (i + 1) + | pad /= 0 = do + h <- hashBlock i s pad + B.withByteArray h $ \hPtr -> memCopy s hPtr pad + return () + | otherwise = return () - digestSize = hashDigestSize hashAlg + digestSize = hashDigestSize hashAlg - -- Hash [ BE32(n), (p .. p+hashSz) ] - hashBlock n p hashSz = do - let ctx = hashInitWith hashAlg - return $! hashFinalize $ hashUpdate (hashUpdate ctx (be32 n)) (MemView p hashSz) + -- Hash [ BE32(n), (p .. p+hashSz) ] + hashBlock n p hashSz = do + let ctx = hashInitWith hashAlg + return $! hashFinalize $ hashUpdate (hashUpdate ctx (be32 n)) (MemView p hashSz) - be32 :: Int -> Bytes - be32 n = B.allocAndFreeze 4 $ \ptr -> do - poke ptr (f8 (n `shiftR` 24)) - poke (ptr `plusPtr` 1) (f8 (n `shiftR` 16)) - poke (ptr `plusPtr` 2) (f8 (n `shiftR` 8)) - poke (ptr `plusPtr` 3) (f8 n) - where - f8 :: Int -> Word8 - f8 = fromIntegral + be32 :: Int -> Bytes + be32 n = B.allocAndFreeze 4 $ \ptr -> do + poke ptr (f8 (n `shiftR` 24)) + poke (ptr `plusPtr` 1) (f8 (n `shiftR` 16)) + poke (ptr `plusPtr` 2) (f8 (n `shiftR` 8)) + poke (ptr `plusPtr` 3) (f8 n) + where + f8 :: Int -> Word8 + f8 = fromIntegral diff --git a/Crypto/Data/Padding.hs b/Crypto/Data/Padding.hs --- a/Crypto/Data/Padding.hs +++ b/Crypto/Data/Padding.hs @@ -7,59 +7,111 @@ -- -- Various cryptographic padding commonly used for block ciphers -- or asymmetric systems. --- -module Crypto.Data.Padding - ( Format(..) - , pad - , unpad - ) where +module Crypto.Data.Padding ( + Format (..), + pad, + unpad, +) where -import Data.ByteArray (ByteArray, Bytes) +import Data.ByteArray (ByteArray, Bytes) import qualified Data.ByteArray as B -- | Format of padding -data Format = - PKCS5 -- ^ PKCS5: PKCS7 with hardcoded size of 8 - | PKCS7 Int -- ^ PKCS7 with padding size between 1 and 255 - | ZERO Int -- ^ zero padding with block size +data Format + = -- | PKCS5: PKCS7 with hardcoded size of 8 + PKCS5 + | -- | PKCS7 with padding size between 1 and 255 + PKCS7 Int + | -- | Zero padding with block size, which must be at least 1. + -- + -- Zero padding does not say how much of it there is, so 'unpad' cannot + -- undo 'pad': see 'unpad'. + ZERO Int deriving (Show, Eq) +-- | Is this a block size PKCS7 can describe? +-- +-- The padding octet carries the number of octets added, so it cannot describe +-- a block longer than 255, and a block of zero has nothing to describe. +-- Outside that range the octet would be computed as an 'Int' and then narrowed +-- to a 'Data.Word.Word8', which wraps: 'pad' and 'unpad' would agree on the +-- wrapped value and hand back something other than what was padded. +pkcs7SizeValid :: Int -> Bool +pkcs7SizeValid sz = sz >= 1 && sz <= 255 + +-- | Is this a block size 'ZERO' can use? +-- +-- Nothing is written into the padding, so there is no upper bound to match +-- the one 'PKCS7' has; but a block of zero or fewer octets is not a block, +-- and the length is taken modulo it. +zeroSizeValid :: Int -> Bool +zeroSizeValid sz = sz >= 1 + -- | Apply some pad to a bytearray +-- +-- A 'PKCS7' block size outside 1..255, or a 'ZERO' block size below 1, raises +-- an 'error'; 'unpad' reports the same condition as 'Nothing'. pad :: ByteArray byteArray => Format -> byteArray -> byteArray -pad PKCS5 bin = pad (PKCS7 8) bin -pad (PKCS7 sz) bin = bin `B.append` paddingString +pad PKCS5 bin = pad (PKCS7 8) bin +pad (PKCS7 sz) bin + | not (pkcs7SizeValid sz) = + error $ + "Crypto.Data.Padding: PKCS7 block size " + ++ show sz + ++ " is not between 1 and 255" + | otherwise = bin `B.append` paddingString where paddingString = B.replicate paddingByte (fromIntegral paddingByte) - paddingByte = sz - (B.length bin `mod` sz) -pad (ZERO sz) bin = bin `B.append` paddingString + paddingByte = sz - (B.length bin `mod` sz) +pad (ZERO sz) bin + | not (zeroSizeValid sz) = + error $ + "Crypto.Data.Padding: ZERO block size " + ++ show sz + ++ " is not at least 1" + | otherwise = bin `B.append` paddingString where paddingString = B.replicate paddingSz 0 paddingSz - | len == 0 = sz - | m == 0 = 0 - | otherwise = sz - m + | len == 0 = sz + | m == 0 = 0 + | otherwise = sz - m m = len `mod` sz len = B.length bin -- | Try to remove some padding from a bytearray. +-- +-- 'PKCS7' padding says how long it is, so this undoes 'pad' exactly. +-- +-- 'ZERO' padding says nothing, and 'pad' adds none at all when the input is +-- already a multiple of the block size, so there is no way to tell padding +-- from data that happens to end in zero octets. This therefore does not undo +-- 'pad': it returns the input unchanged when the last octet is not zero, and +-- 'Nothing' when it is, rather than guess and hand back less than it was +-- given. Zero padding is only usable where the original length is known by +-- other means. unpad :: ByteArray byteArray => Format -> byteArray -> Maybe byteArray -unpad PKCS5 bin = unpad (PKCS7 8) bin +unpad PKCS5 bin = unpad (PKCS7 8) bin unpad (PKCS7 sz) bin - | len == 0 = Nothing - | (len `mod` sz) /= 0 = Nothing - | paddingSz < 1 || paddingSz > len = Nothing + | not (pkcs7SizeValid sz) = Nothing + | len == 0 = Nothing + | (len `mod` sz) /= 0 = Nothing + -- the padded length is a multiple of the block size and the padding is + -- what was added to reach it, so it is never more than one block + | paddingSz < 1 || paddingSz > sz = Nothing | paddingWitness `B.constEq` padding = Just content - | otherwise = Nothing + | otherwise = Nothing where - len = B.length bin + len = B.length bin paddingByte = B.index bin (len - 1) - paddingSz = fromIntegral paddingByte + paddingSz = fromIntegral paddingByte (content, padding) = B.splitAt (len - paddingSz) bin - paddingWitness = B.replicate paddingSz paddingByte :: Bytes -unpad (ZERO sz) bin - | len == 0 = Nothing - | (len `mod` sz) /= 0 = Nothing - | B.index bin (len - 1) /= 0 = Just bin - | otherwise = Nothing + paddingWitness = B.replicate paddingSz paddingByte :: Bytes +unpad (ZERO sz) bin + | not (zeroSizeValid sz) = Nothing + | len == 0 = Nothing + | (len `mod` sz) /= 0 = Nothing + | B.index bin (len - 1) /= 0 = Just bin + | otherwise = Nothing where - len = B.length bin + len = B.length bin diff --git a/Crypto/Debug.hs b/Crypto/Debug.hs new file mode 100644 --- /dev/null +++ b/Crypto/Debug.hs @@ -0,0 +1,52 @@ +-- | +-- Module : Crypto.Debug +-- License : BSD-style +-- Maintainer : Kazu Yamamoto +-- Stability : experimental +-- Portability : unknown +-- +-- Printing secret key material, on purpose. +-- +-- The 'Show' instance of a type that holds a secret does not print it. That +-- is deliberate: 'Show' is what @print@, a message built with @error@, an +-- exception and a test framework's failure output all reach for, and a +-- private key reaching a log or a bug report that way is an accident nobody +-- asked for. Those instances render the public part and write @\@ +-- for the rest. +-- +-- This module is how you print one when printing it is what you mean. What +-- 'debugShow' returns is what the derived 'Show' used to return, so for the +-- types that still have a 'Read' instance +-- +-- > read (debugShow k) == k +-- +-- and a call site that was serializing a key through @show@ moves by one +-- word. +-- +-- Needing 'debugShow' in scope is the record of the intent: nothing here is +-- exported anywhere else, so a search for this module finds every place a key +-- can be revealed. Do not leave a call to it where production code runs. +module Crypto.Debug ( + DebugShow (..), + debugShowBytes, +) where + +import Data.Bits (shiftR, (.&.)) +import qualified Data.ByteArray as BA +import Data.Word (Word8) + +-- | Rendering a value with its secret in place. +class DebugShow a where + -- | Render the value, secret included. + debugShow :: a -> String + +-- | Render a secret that is held as bytes, in hexadecimal. The secret keys +-- that keep theirs in a @ScrubbedBytes@ never had a 'Show' that printed it, +-- so unlike the rest of this module what comes back is for reading and not +-- for 'Prelude.read'. +debugShowBytes :: BA.ByteArrayAccess ba => String -> ba -> String +debugShowBytes con b = con ++ (' ' : concatMap hex (BA.unpack b)) + where + hex :: Word8 -> String + hex w = [digit (w `shiftR` 4), digit (w .&. 0x0f)] + digit n = "0123456789abcdef" !! fromIntegral n diff --git a/Crypto/ECC.hs b/Crypto/ECC.hs --- a/Crypto/ECC.hs +++ b/Crypto/ECC.hs @@ -1,3 +1,9 @@ +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE FlexibleContexts #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} +{-# LANGUAGE ScopedTypeVariables #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.ECC -- License : BSD-style @@ -7,68 +13,93 @@ -- -- Elliptic Curve Cryptography -- -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE FlexibleContexts #-} -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -{-# LANGUAGE TypeFamilies #-} -{-# LANGUAGE ScopedTypeVariables #-} -module Crypto.ECC - ( Curve_P256R1(..) - , Curve_P384R1(..) - , Curve_P521R1(..) - , Curve_X25519(..) - , Curve_X448(..) - , Curve_Edwards25519(..) - , EllipticCurve(..) - , EllipticCurveDH(..) - , EllipticCurveArith(..) - , EllipticCurveBasepointArith(..) - , KeyPair(..) - , SharedSecret(..) - ) where +-- == Timing +-- +-- t'Curve_P256R1' reaches a dedicated implementation whose scalar +-- multiplication does not branch on the scalar. t'Curve_P384R1' and +-- t'Curve_P521R1' do not: they are built on "Crypto.ECC.Simple.Prim", whose +-- scalar multiplication is a double-and-add over @Integer@ and is +-- documented there as vulnerable to timing attacks. +-- +-- That matters wherever the scalar is secret, which is both operations that +-- have one: 'ecdh', which multiplies by the private key, and ECDSA signing, +-- which multiplies by the secret nonce. Verification and public-key +-- derivation work on values an attacker already has, so they are unaffected. +-- +-- Note also that @Integer@ arithmetic is variable-time underneath, so no +-- curve built on "Crypto.ECC.Simple.Prim" can be made constant-time without +-- leaving it. Where that matters, use t'Curve_P256R1', t'Curve_X25519', +-- t'Curve_X448' or t'Curve_Edwards25519'. +module Crypto.ECC ( + Curve_P256R1 (..), + Curve_P384R1 (..), + Curve_P521R1 (..), + Curve_X25519 (..), + Curve_X448 (..), + Curve_Edwards25519 (..), + EllipticCurve (..), + EllipticCurveDH (..), + EllipticCurveArith (..), + EllipticCurveBasepointArith (..), + KeyPair (..), + SharedSecret (..), +) where -import qualified Crypto.PubKey.ECC.P256 as P256 import qualified Crypto.ECC.Edwards25519 as Edwards25519 -import qualified Crypto.ECC.Simple.Types as Simple import qualified Crypto.ECC.Simple.Prim as Simple -import Crypto.Random -import Crypto.Error -import Crypto.Internal.Imports -import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess, ScrubbedBytes) +import qualified Crypto.ECC.Simple.Types as Simple +import Crypto.Error +import Crypto.Internal.ByteArray ( + ByteArray, + ByteArrayAccess, + ScrubbedBytes, + ) import qualified Crypto.Internal.ByteArray as B -import Crypto.Number.Basic (numBits) -import Crypto.Number.Serialize (i2ospOf_, os2ip) +import Crypto.Internal.Imports +import Crypto.Number.Basic (numBits) +import Crypto.Number.Serialize (i2ospOf_, os2ip) import qualified Crypto.Number.Serialize.LE as LE import qualified Crypto.PubKey.Curve25519 as X25519 import qualified Crypto.PubKey.Curve448 as X448 -import Data.ByteArray (convert) -import Data.Data (Data()) -import Data.Kind (Type) -import Data.Proxy +import qualified Crypto.PubKey.ECC.P256 as P256 +import Crypto.Random +import Data.ByteArray (convert) +import Data.Data (Data ()) +import Data.Kind (Type) +import Data.Proxy -- | An elliptic curve key pair composed of the private part (a scalar), and -- the associated point. data KeyPair curve = KeyPair - { keypairGetPublic :: !(Point curve) + { keypairGetPublic :: !(Point curve) , keypairGetPrivate :: !(Scalar curve) } +-- | Secret shared via key exchange newtype SharedSecret = SharedSecret ScrubbedBytes deriving (Eq, ByteArrayAccess, NFData) +instance Semigroup SharedSecret where + SharedSecret x <> SharedSecret y = SharedSecret (x <> y) + +instance Monoid SharedSecret where + mempty = SharedSecret mempty + class EllipticCurve curve where -- | Point on an Elliptic Curve - type Point curve :: Type + type Point curve :: Type -- | Scalar in the Elliptic Curve domain type Scalar curve :: Type -- | Generate a new random scalar on the curve. -- The scalar will represent a number between 1 and the order of the curve non included - curveGenerateScalar :: MonadRandom randomly => proxy curve -> randomly (Scalar curve) + curveGenerateScalar + :: MonadRandom randomly => proxy curve -> randomly (Scalar curve) -- | Generate a new random keypair - curveGenerateKeyPair :: MonadRandom randomly => proxy curve -> randomly (KeyPair curve) + curveGenerateKeyPair + :: MonadRandom randomly => proxy curve -> randomly (KeyPair curve) -- | Get the curve size in bits curveSizeBits :: proxy curve -> Int @@ -79,6 +110,15 @@ -- | Try to decode the binary form of an elliptic curve point decodePoint :: ByteArray bs => proxy curve -> bs -> CryptoFailable (Point curve) + -- | Encode an elliptic curve scalar into big-endian form + encodeScalar :: ByteArray bs => proxy curve -> Scalar curve -> bs + + -- | Try to decode the big-endian form of an elliptic curve scalar + decodeScalar + :: ByteArray bs => proxy curve -> bs -> CryptoFailable (Scalar curve) + + scalarToPoint :: proxy curve -> Scalar curve -> Point curve + class EllipticCurve curve => EllipticCurveDH curve where -- | Generate a Diffie hellman secret value. -- @@ -100,7 +140,8 @@ -- This additional test avoids risks existing with function 'ecdhRaw'. -- Implementations always return a 'CryptoError' instead of a special -- value or an exception. - ecdh :: proxy curve -> Scalar curve -> Point curve -> CryptoFailable SharedSecret + ecdh + :: proxy curve -> Scalar curve -> Point curve -> CryptoFailable SharedSecret class (EllipticCurve curve, Eq (Point curve)) => EllipticCurveArith curve where -- | Add points on a curve @@ -115,7 +156,10 @@ -- -- | Scalar Inverse -- scalarInverse :: Scalar curve -> Scalar curve -class (EllipticCurveArith curve, Eq (Scalar curve)) => EllipticCurveBasepointArith curve where +class + (EllipticCurveArith curve, Eq (Scalar curve)) => + EllipticCurveBasepointArith curve + where -- | Get the curve order size in bits curveOrderBits :: proxy curve -> Int @@ -123,15 +167,10 @@ pointBaseSmul :: proxy curve -> Scalar curve -> Point curve -- | Multiply the point @p@ with @s2@ and add a lifted to curve value @s1@ - pointsSmulVarTime :: proxy curve -> Scalar curve -> Scalar curve -> Point curve -> Point curve + pointsSmulVarTime + :: proxy curve -> Scalar curve -> Scalar curve -> Point curve -> Point curve pointsSmulVarTime prx s1 s2 p = pointAdd prx (pointBaseSmul prx s1) (pointSmul prx s2 p) - -- | Encode an elliptic curve scalar into big-endian form - encodeScalar :: ByteArray bs => proxy curve -> Scalar curve -> bs - - -- | Try to decode the big-endian form of an elliptic curve scalar - decodeScalar :: ByteArray bs => proxy curve -> bs -> CryptoFailable (Scalar curve) - -- | Convert an elliptic curve scalar to an integer scalarToInteger :: proxy curve -> Scalar curve -> Integer @@ -148,7 +187,7 @@ -- -- also known as P256 data Curve_P256R1 = Curve_P256R1 - deriving (Show,Data) + deriving (Show, Data) instance EllipticCurve Curve_P256R1 where type Point Curve_P256R1 = P256.Point @@ -156,7 +195,8 @@ curveSizeBits _ = 256 curveGenerateScalar _ = P256.scalarGenerate curveGenerateKeyPair _ = toKeyPair <$> P256.scalarGenerate - where toKeyPair scalar = KeyPair (P256.toPoint scalar) scalar + where + toKeyPair scalar = KeyPair (P256.toPoint scalar) scalar encodePoint _ p = mxy where mxy :: forall bs. ByteArray bs => bs @@ -167,33 +207,47 @@ xy = P256.pointToBinary p decodePoint _ mxy = case B.uncons mxy of Nothing -> CryptoFailed CryptoError_PointSizeInvalid - Just (m,xy) + Just (m, xy) -- uncompressed | m == 4 -> P256.pointFromBinary xy | otherwise -> CryptoFailed CryptoError_PointFormatInvalid + encodeScalar _ = P256.scalarToBinary + decodeScalar _ = P256.scalarFromBinary + scalarToPoint _ = P256.toPoint instance EllipticCurveArith Curve_P256R1 where - pointAdd _ a b = P256.pointAdd a b + pointAdd _ a b = P256.pointAdd a b pointNegate _ p = P256.pointNegate p pointSmul _ s p = P256.pointMul s p instance EllipticCurveDH Curve_P256R1 where ecdhRaw _ s p = SharedSecret $ P256.pointDh s p - ecdh prx s p = checkNonZeroDH (ecdhRaw prx s p) + -- An all-zero x-coordinate can be valid. Since P-256's group has prime + -- order n, s * P is the identity only when P is the identity or the + -- 256-bit scalar s is zero or n. + ecdh _ s p + | P256.pointIsAtInfinity p + || P256.scalarIsZero s + || P256.scalarCmp s P256.scalarN == EQ = + CryptoFailed CryptoError_ScalarMultiplicationInvalid + | otherwise = CryptoPassed $ SharedSecret $ P256.pointDh s p + instance EllipticCurveBasepointArith Curve_P256R1 where curveOrderBits _ = 256 pointBaseSmul _ = P256.toPoint pointsSmulVarTime _ = P256.pointsMulVarTime - encodeScalar _ = P256.scalarToBinary - decodeScalar _ = P256.scalarFromBinary scalarToInteger _ = P256.scalarToInteger scalarFromInteger _ = P256.scalarFromInteger scalarAdd _ = P256.scalarAdd scalarMul _ = P256.scalarMul +-- | NIST P-384. +-- +-- Scalar multiplication branches on the scalar; see the note on timing +-- at the head of this module. data Curve_P384R1 = Curve_P384R1 - deriving (Show,Data) + deriving (Show, Data) instance EllipticCurve Curve_P384R1 where type Point Curve_P384R1 = Simple.Point Simple.SEC_p384r1 @@ -201,9 +255,13 @@ curveSizeBits _ = 384 curveGenerateScalar _ = Simple.scalarGenerate curveGenerateKeyPair _ = toKeyPair <$> Simple.scalarGenerate - where toKeyPair scalar = KeyPair (Simple.pointBaseMul scalar) scalar + where + toKeyPair scalar = KeyPair (Simple.pointBaseMul scalar) scalar encodePoint _ point = encodeECPoint point decodePoint _ bs = decodeECPoint bs + encodeScalar _ = ecScalarToBinary + decodeScalar _ = ecScalarFromBinary + scalarToPoint _ = Simple.pointBaseMul instance EllipticCurveArith Curve_P384R1 where pointAdd _ a b = Simple.pointAdd a b @@ -219,15 +277,17 @@ curveOrderBits _ = 384 pointBaseSmul _ = Simple.pointBaseMul pointsSmulVarTime _ = ecPointsMulVarTime - encodeScalar _ = ecScalarToBinary - decodeScalar _ = ecScalarFromBinary scalarToInteger _ = ecScalarToInteger scalarFromInteger _ = ecScalarFromInteger scalarAdd _ = ecScalarAdd scalarMul _ = ecScalarMul +-- | NIST P-521. +-- +-- Scalar multiplication branches on the scalar; see the note on timing +-- at the head of this module. data Curve_P521R1 = Curve_P521R1 - deriving (Show,Data) + deriving (Show, Data) instance EllipticCurve Curve_P521R1 where type Point Curve_P521R1 = Simple.Point Simple.SEC_p521r1 @@ -235,9 +295,13 @@ curveSizeBits _ = 521 curveGenerateScalar _ = Simple.scalarGenerate curveGenerateKeyPair _ = toKeyPair <$> Simple.scalarGenerate - where toKeyPair scalar = KeyPair (Simple.pointBaseMul scalar) scalar + where + toKeyPair scalar = KeyPair (Simple.pointBaseMul scalar) scalar encodePoint _ point = encodeECPoint point decodePoint _ bs = decodeECPoint bs + encodeScalar _ = ecScalarToBinary + decodeScalar _ = ecScalarFromBinary + scalarToPoint _ = Simple.pointBaseMul instance EllipticCurveArith Curve_P521R1 where pointAdd _ a b = Simple.pointAdd a b @@ -253,15 +317,13 @@ curveOrderBits _ = 521 pointBaseSmul _ = Simple.pointBaseMul pointsSmulVarTime _ = ecPointsMulVarTime - encodeScalar _ = ecScalarToBinary - decodeScalar _ = ecScalarFromBinary scalarToInteger _ = ecScalarToInteger scalarFromInteger _ = ecScalarFromInteger scalarAdd _ = ecScalarAdd scalarMul _ = ecScalarMul data Curve_X25519 = Curve_X25519 - deriving (Show,Data) + deriving (Show, Data) instance EllipticCurve Curve_X25519 where type Point Curve_X25519 = X25519.PublicKey @@ -273,14 +335,18 @@ return $ KeyPair (X25519.toPublic s) s encodePoint _ p = B.convert p decodePoint _ bs = X25519.publicKey bs + encodeScalar _ s = convert s + decodeScalar _ bs = X25519.secretKey bs + scalarToPoint _ s = X25519.toPublic s instance EllipticCurveDH Curve_X25519 where ecdhRaw _ s p = SharedSecret $ convert secret - where secret = X25519.dh p s + where + secret = X25519.dh p s ecdh prx s p = checkNonZeroDH (ecdhRaw prx s p) data Curve_X448 = Curve_X448 - deriving (Show,Data) + deriving (Show, Data) instance EllipticCurve Curve_X448 where type Point Curve_X448 = X448.PublicKey @@ -292,14 +358,18 @@ return $ KeyPair (X448.toPublic s) s encodePoint _ p = B.convert p decodePoint _ bs = X448.publicKey bs + encodeScalar _ s = convert s + decodeScalar _ bs = X448.secretKey bs + scalarToPoint _ s = X448.toPublic s instance EllipticCurveDH Curve_X448 where ecdhRaw _ s p = SharedSecret $ convert secret - where secret = X448.dh p s + where + secret = X448.dh p s ecdh prx s p = checkNonZeroDH (ecdhRaw prx s p) data Curve_Edwards25519 = Curve_Edwards25519 - deriving (Show,Data) + deriving (Show, Data) instance EllipticCurve Curve_Edwards25519 where type Point Curve_Edwards25519 = Edwards25519.Point @@ -307,9 +377,15 @@ curveSizeBits _ = 255 curveGenerateScalar _ = Edwards25519.scalarGenerate curveGenerateKeyPair _ = toKeyPair <$> Edwards25519.scalarGenerate - where toKeyPair scalar = KeyPair (Edwards25519.toPoint scalar) scalar + where + toKeyPair scalar = KeyPair (Edwards25519.toPoint scalar) scalar encodePoint _ point = Edwards25519.pointEncode point decodePoint _ bs = Edwards25519.pointDecode bs + encodeScalar _ = B.reverse . Edwards25519.scalarEncode + decodeScalar _ bs + | B.length bs == 32 = Edwards25519.scalarDecodeLong (B.reverse bs) + | otherwise = CryptoFailed CryptoError_SecretKeySizeInvalid + scalarToPoint _ = Edwards25519.toPoint instance EllipticCurveArith Curve_Edwards25519 where pointAdd _ a b = Edwards25519.pointAdd a b @@ -320,10 +396,6 @@ curveOrderBits _ = 253 pointBaseSmul _ = Edwards25519.toPoint pointsSmulVarTime _ = Edwards25519.pointsMulVarTime - encodeScalar _ = B.reverse . Edwards25519.scalarEncode - decodeScalar _ bs - | B.length bs == 32 = Edwards25519.scalarDecodeLong (B.reverse bs) - | otherwise = CryptoFailed CryptoError_SecretKeySizeInvalid scalarToInteger _ s = LE.os2ip (Edwards25519.scalarEncode s :: B.Bytes) scalarFromInteger _ i = case LE.i2ospOf 32 i of @@ -335,15 +407,18 @@ checkNonZeroDH :: SharedSecret -> CryptoFailable SharedSecret checkNonZeroDH s@(SharedSecret b) | B.constAllZero b = CryptoFailed CryptoError_ScalarMultiplicationInvalid - | otherwise = CryptoPassed s + | otherwise = CryptoPassed s -encodeECShared :: Simple.Curve curve => Proxy curve -> Simple.Point curve -> CryptoFailable SharedSecret -encodeECShared _ Simple.PointO = CryptoFailed CryptoError_ScalarMultiplicationInvalid +encodeECShared + :: Simple.Curve curve + => Proxy curve -> Simple.Point curve -> CryptoFailable SharedSecret +encodeECShared _ Simple.PointO = CryptoFailed CryptoError_ScalarMultiplicationInvalid encodeECShared prx (Simple.Point x _) = CryptoPassed . SharedSecret $ i2ospOf_ (Simple.curveSizeBytes prx) x -encodeECPoint :: forall curve bs . (Simple.Curve curve, ByteArray bs) => Simple.Point curve -> bs -encodeECPoint Simple.PointO = error "encodeECPoint: cannot serialize point at infinity" -encodeECPoint (Simple.Point x y) = B.concat [uncompressed,xb,yb] +encodeECPoint + :: forall curve bs. (Simple.Curve curve, ByteArray bs) => Simple.Point curve -> bs +encodeECPoint Simple.PointO = error "encodeECPoint: cannot serialize point at infinity" +encodeECPoint (Simple.Point x y) = B.concat [uncompressed, xb, yb] where size = Simple.curveSizeBytes (Proxy :: Proxy curve) uncompressed, xb, yb :: bs @@ -351,58 +426,79 @@ xb = i2ospOf_ size x yb = i2ospOf_ size y -decodeECPoint :: (Simple.Curve curve, ByteArray bs) => bs -> CryptoFailable (Simple.Point curve) +decodeECPoint + :: (Simple.Curve curve, ByteArray bs) => bs -> CryptoFailable (Simple.Point curve) decodeECPoint mxy = case B.uncons mxy of - Nothing -> CryptoFailed CryptoError_PointSizeInvalid - Just (m,xy) + Nothing -> CryptoFailed CryptoError_PointSizeInvalid + Just (m, xy) -- uncompressed | m == 4 -> let siz = B.length xy `div` 2 - (xb,yb) = B.splitAt siz xy + (xb, yb) = B.splitAt siz xy x = os2ip xb y = os2ip yb - in Simple.pointFromIntegers (x,y) + in Simple.pointFromIntegers (x, y) | otherwise -> CryptoFailed CryptoError_PointFormatInvalid -ecPointsMulVarTime :: forall curve . Simple.Curve curve - => Simple.Scalar curve - -> Simple.Scalar curve -> Simple.Point curve - -> Simple.Point curve +ecPointsMulVarTime + :: forall curve + . Simple.Curve curve + => Simple.Scalar curve + -> Simple.Scalar curve + -> Simple.Point curve + -> Simple.Point curve ecPointsMulVarTime n1 = Simple.pointAddTwoMuls n1 g - where g = Simple.curveEccG $ Simple.curveParameters (Proxy :: Proxy curve) + where + g = Simple.curveEccG $ Simple.curveParameters (Proxy :: Proxy curve) -ecScalarFromBinary :: forall curve bs . (Simple.Curve curve, ByteArrayAccess bs) - => bs -> CryptoFailable (Simple.Scalar curve) +ecScalarFromBinary + :: forall curve bs + . (Simple.Curve curve, ByteArrayAccess bs) + => bs -> CryptoFailable (Simple.Scalar curve) ecScalarFromBinary ba | B.length ba /= size = CryptoFailed CryptoError_SecretKeySizeInvalid - | otherwise = CryptoPassed (Simple.Scalar $ os2ip ba) - where size = ecCurveOrderBytes (Proxy :: Proxy curve) + | otherwise = CryptoPassed (Simple.Scalar $ os2ip ba) + where + size = ecCurveOrderBytes (Proxy :: Proxy curve) -ecScalarToBinary :: forall curve bs . (Simple.Curve curve, ByteArray bs) - => Simple.Scalar curve -> bs +ecScalarToBinary + :: forall curve bs + . (Simple.Curve curve, ByteArray bs) + => Simple.Scalar curve -> bs ecScalarToBinary (Simple.Scalar s) = i2ospOf_ size s - where size = ecCurveOrderBytes (Proxy :: Proxy curve) + where + size = ecCurveOrderBytes (Proxy :: Proxy curve) -ecScalarFromInteger :: forall curve . Simple.Curve curve - => Integer -> CryptoFailable (Simple.Scalar curve) +ecScalarFromInteger + :: forall curve + . Simple.Curve curve + => Integer -> CryptoFailable (Simple.Scalar curve) ecScalarFromInteger s | numBits s > nb = CryptoFailed CryptoError_SecretKeySizeInvalid - | otherwise = CryptoPassed (Simple.Scalar s) - where nb = 8 * ecCurveOrderBytes (Proxy :: Proxy curve) + | otherwise = CryptoPassed (Simple.Scalar s) + where + nb = 8 * ecCurveOrderBytes (Proxy :: Proxy curve) ecScalarToInteger :: Simple.Scalar curve -> Integer ecScalarToInteger (Simple.Scalar s) = s ecCurveOrderBytes :: Simple.Curve c => proxy c -> Int ecCurveOrderBytes prx = (numBits n + 7) `div` 8 - where n = Simple.curveEccN $ Simple.curveParameters prx + where + n = Simple.curveEccN $ Simple.curveParameters prx -ecScalarAdd :: forall curve . Simple.Curve curve - => Simple.Scalar curve -> Simple.Scalar curve -> Simple.Scalar curve +ecScalarAdd + :: forall curve + . Simple.Curve curve + => Simple.Scalar curve -> Simple.Scalar curve -> Simple.Scalar curve ecScalarAdd (Simple.Scalar a) (Simple.Scalar b) = Simple.Scalar ((a + b) `mod` n) - where n = Simple.curveEccN $ Simple.curveParameters (Proxy :: Proxy curve) + where + n = Simple.curveEccN $ Simple.curveParameters (Proxy :: Proxy curve) -ecScalarMul :: forall curve . Simple.Curve curve - => Simple.Scalar curve -> Simple.Scalar curve -> Simple.Scalar curve +ecScalarMul + :: forall curve + . Simple.Curve curve + => Simple.Scalar curve -> Simple.Scalar curve -> Simple.Scalar curve ecScalarMul (Simple.Scalar a) (Simple.Scalar b) = Simple.Scalar ((a * b) `mod` n) - where n = Simple.curveEccN $ Simple.curveParameters (Proxy :: Proxy curve) + where + n = Simple.curveEccN $ Simple.curveParameters (Proxy :: Proxy curve) diff --git a/Crypto/ECC/Edwards25519.hs b/Crypto/ECC/Edwards25519.hs --- a/Crypto/ECC/Edwards25519.hs +++ b/Crypto/ECC/Edwards25519.hs @@ -1,3 +1,5 @@ +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + -- | -- Module : Crypto.ECC.Edwards25519 -- License : BSD-style @@ -48,55 +50,55 @@ -- 3. Because of modular reduction in this implementation it is not -- possible to multiply points directly by scalars like 8.s or L. -- This has to be decomposed into several steps. --- -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -module Crypto.ECC.Edwards25519 - ( Scalar - , Point +module Crypto.ECC.Edwards25519 ( + Scalar, + Point, + -- * Scalars - , scalarGenerate - , scalarDecodeLong - , scalarEncode + scalarGenerate, + scalarDecodeLong, + scalarEncode, + -- * Points - , pointDecode - , pointEncode - , pointHasPrimeOrder + pointDecode, + pointEncode, + pointHasPrimeOrder, + -- * Arithmetic functions - , toPoint - , scalarAdd - , scalarMul - , pointNegate - , pointAdd - , pointDouble - , pointMul - , pointMulByCofactor - , pointsMulVarTime - ) where + toPoint, + scalarAdd, + scalarMul, + pointNegate, + pointAdd, + pointDouble, + pointMul, + pointMulByCofactor, + pointsMulVarTime, +) where -import Data.Word -import Foreign.C.Types -import Foreign.Ptr +import Data.Word +import Foreign.C.Types +import Foreign.Ptr -import Crypto.Error -import Crypto.Internal.ByteArray (Bytes, ScrubbedBytes, withByteArray) +import Crypto.Error +import Crypto.Internal.ByteArray (Bytes, ScrubbedBytes, withByteArray) import qualified Crypto.Internal.ByteArray as B -import Crypto.Internal.Compat -import Crypto.Internal.Imports -import Crypto.Random - +import Crypto.Internal.Compat +import Crypto.Internal.Imports +import Crypto.Random scalarArraySize :: Int scalarArraySize = 40 -- maximum [9 * 4 {- 32 bits -}, 5 * 8 {- 64 bits -}] -- | A scalar modulo prime order of curve edwards25519. newtype Scalar = Scalar ScrubbedBytes - deriving (Show,NFData) + deriving (Show, NFData) instance Eq Scalar where (Scalar s1) == (Scalar s2) = unsafeDoIO $ withByteArray s1 $ \ps1 -> - withByteArray s2 $ \ps2 -> - fmap (/= 0) (ed25519_scalar_eq ps1 ps2) + withByteArray s2 $ \ps2 -> + fmap (/= 0) (ed25519_scalar_eq ps1 ps2) {-# NOINLINE (==) #-} pointArraySize :: Int @@ -104,19 +106,20 @@ -- | A point on curve edwards25519. newtype Point = Point Bytes - deriving NFData + deriving (NFData) instance Show Point where showsPrec d p = let bs = pointEncode p :: Bytes - in showParen (d > 10) $ showString "Point " - . shows (B.convertToBase B.Base16 bs :: Bytes) + in showParen (d > 10) $ + showString "Point " + . shows (B.convertToBase B.Base16 bs :: Bytes) instance Eq Point where (Point p1) == (Point p2) = unsafeDoIO $ withByteArray p1 $ \pp1 -> - withByteArray p2 $ \pp2 -> - fmap (/= 0) (ed25519_point_eq pp1 pp2) + withByteArray p2 $ \pp2 -> + fmap (/= 0) (ed25519_point_eq pp1 pp2) {-# NOINLINE (==) #-} -- | Generate a random scalar. @@ -148,12 +151,12 @@ scalarDecodeLong :: B.ByteArrayAccess bs => bs -> CryptoFailable Scalar scalarDecodeLong bs | B.length bs > 64 = CryptoFailed CryptoError_EcScalarOutOfBounds - | otherwise = unsafeDoIO $ withByteArray bs initialize + | otherwise = unsafeDoIO $ withByteArray bs initialize where len = fromIntegral $ B.length bs initialize inp = do s <- B.alloc scalarArraySize $ \ps -> - ed25519_scalar_decode_long ps inp len + ed25519_scalar_decode_long ps inp len return $ CryptoPassed (Scalar s) {-# NOINLINE scalarDecodeLong #-} @@ -162,16 +165,16 @@ scalarAdd (Scalar a) (Scalar b) = Scalar $ B.allocAndFreeze scalarArraySize $ \out -> withByteArray a $ \pa -> - withByteArray b $ \pb -> - ed25519_scalar_add out pa pb + withByteArray b $ \pb -> + ed25519_scalar_add out pa pb -- | Multiply two scalars. scalarMul :: Scalar -> Scalar -> Scalar scalarMul (Scalar a) (Scalar b) = Scalar $ B.allocAndFreeze scalarArraySize $ \out -> withByteArray a $ \pa -> - withByteArray b $ \pb -> - ed25519_scalar_mul out pa pb + withByteArray b $ \pb -> + ed25519_scalar_mul out pa pb -- | Multiplies a scalar with the curve base point. toPoint :: Scalar -> Point @@ -188,7 +191,7 @@ pointEncode (Point p) = B.allocAndFreeze 32 $ \out -> withByteArray p $ \pp -> - ed25519_point_encode out pp + ed25519_point_encode out pp -- | Deserialize a 32-byte array as a point, ensuring the point is -- valid on edwards25519. @@ -197,13 +200,14 @@ pointDecode :: B.ByteArrayAccess bs => bs -> CryptoFailable Point pointDecode bs | B.length bs == 32 = unsafeDoIO $ withByteArray bs initialize - | otherwise = CryptoFailed CryptoError_PointSizeInvalid + | otherwise = CryptoFailed CryptoError_PointSizeInvalid where initialize inp = do (res, p) <- B.allocRet pointArraySize $ \pp -> - ed25519_point_decode_vartime pp inp - if res == 0 then return $ CryptoFailed CryptoError_PointCoordinatesInvalid - else return $ CryptoPassed (Point p) + ed25519_point_decode_vartime pp inp + if res == 0 + then return $ CryptoFailed CryptoError_PointCoordinatesInvalid + else return $ CryptoPassed (Point p) {-# NOINLINE pointDecode #-} -- | Test whether a point belongs to the prime-order subgroup @@ -224,15 +228,15 @@ pointNegate (Point a) = Point $ B.allocAndFreeze pointArraySize $ \out -> withByteArray a $ \pa -> - ed25519_point_negate out pa + ed25519_point_negate out pa -- | Add two points. pointAdd :: Point -> Point -> Point pointAdd (Point a) (Point b) = Point $ B.allocAndFreeze pointArraySize $ \out -> withByteArray a $ \pa -> - withByteArray b $ \pb -> - ed25519_point_add out pa pb + withByteArray b $ \pb -> + ed25519_point_add out pa pb -- | Add a point to itself. -- @@ -243,7 +247,7 @@ pointDouble (Point a) = Point $ B.allocAndFreeze pointArraySize $ \out -> withByteArray a $ \pa -> - ed25519_point_double out pa + ed25519_point_double out pa -- | Multiply a point by h = 8. -- @@ -254,7 +258,7 @@ pointMulByCofactor (Point a) = Point $ B.allocAndFreeze pointArraySize $ \out -> withByteArray a $ \pa -> - ed25519_point_mul_by_cofactor out pa + ed25519_point_mul_by_cofactor out pa -- | Scalar multiplication over curve edwards25519. -- @@ -265,8 +269,8 @@ pointMul (Scalar scalar) (Point base) = Point $ B.allocAndFreeze pointArraySize $ \out -> withByteArray scalar $ \pscalar -> - withByteArray base $ \pbase -> - ed25519_point_scalarmul out pbase pscalar + withByteArray base $ \pbase -> + ed25519_point_scalarmul out pbase pscalar -- | Multiply the point @p@ with @s2@ and add a lifted to curve value @s1@. -- @@ -279,92 +283,108 @@ pointsMulVarTime (Scalar s1) (Scalar s2) (Point p) = Point $ B.allocAndFreeze pointArraySize $ \out -> withByteArray s1 $ \ps1 -> - withByteArray s2 $ \ps2 -> - withByteArray p $ \pp -> - ed25519_base_double_scalarmul_vartime out ps1 pp ps2 + withByteArray s2 $ \ps2 -> + withByteArray p $ \pp -> + ed25519_base_double_scalarmul_vartime out ps1 pp ps2 foreign import ccall unsafe "crypton_ed25519_scalar_eq" - ed25519_scalar_eq :: Ptr Scalar - -> Ptr Scalar - -> IO CInt + ed25519_scalar_eq + :: Ptr Scalar + -> Ptr Scalar + -> IO CInt foreign import ccall unsafe "crypton_ed25519_scalar_encode" - ed25519_scalar_encode :: Ptr Word8 - -> Ptr Scalar - -> IO () + ed25519_scalar_encode + :: Ptr Word8 + -> Ptr Scalar + -> IO () foreign import ccall unsafe "crypton_ed25519_scalar_decode_long" - ed25519_scalar_decode_long :: Ptr Scalar - -> Ptr Word8 - -> CSize - -> IO () + ed25519_scalar_decode_long + :: Ptr Scalar + -> Ptr Word8 + -> CSize + -> IO () foreign import ccall unsafe "crypton_ed25519_scalar_add" - ed25519_scalar_add :: Ptr Scalar -- sum - -> Ptr Scalar -- a - -> Ptr Scalar -- b - -> IO () + ed25519_scalar_add + :: Ptr Scalar -- sum + -> Ptr Scalar -- a + -> Ptr Scalar -- b + -> IO () foreign import ccall unsafe "crypton_ed25519_scalar_mul" - ed25519_scalar_mul :: Ptr Scalar -- out - -> Ptr Scalar -- a - -> Ptr Scalar -- b - -> IO () + ed25519_scalar_mul + :: Ptr Scalar -- out + -> Ptr Scalar -- a + -> Ptr Scalar -- b + -> IO () foreign import ccall unsafe "crypton_ed25519_point_encode" - ed25519_point_encode :: Ptr Word8 - -> Ptr Point - -> IO () + ed25519_point_encode + :: Ptr Word8 + -> Ptr Point + -> IO () foreign import ccall unsafe "crypton_ed25519_point_decode_vartime" - ed25519_point_decode_vartime :: Ptr Point - -> Ptr Word8 - -> IO CInt + ed25519_point_decode_vartime + :: Ptr Point + -> Ptr Word8 + -> IO CInt foreign import ccall unsafe "crypton_ed25519_point_eq" - ed25519_point_eq :: Ptr Point - -> Ptr Point - -> IO CInt + ed25519_point_eq + :: Ptr Point + -> Ptr Point + -> IO CInt foreign import ccall "crypton_ed25519_point_has_prime_order" - ed25519_point_has_prime_order :: Ptr Point - -> IO CInt + ed25519_point_has_prime_order + :: Ptr Point + -> IO CInt foreign import ccall unsafe "crypton_ed25519_point_negate" - ed25519_point_negate :: Ptr Point -- minus_a - -> Ptr Point -- a - -> IO () + ed25519_point_negate + :: Ptr Point -- minus_a + -> Ptr Point -- a + -> IO () foreign import ccall unsafe "crypton_ed25519_point_add" - ed25519_point_add :: Ptr Point -- sum - -> Ptr Point -- a - -> Ptr Point -- b - -> IO () + ed25519_point_add + :: Ptr Point -- sum + -> Ptr Point -- a + -> Ptr Point -- b + -> IO () foreign import ccall unsafe "crypton_ed25519_point_double" - ed25519_point_double :: Ptr Point -- two_a - -> Ptr Point -- a - -> IO () + ed25519_point_double + :: Ptr Point -- two_a + -> Ptr Point -- a + -> IO () foreign import ccall unsafe "crypton_ed25519_point_mul_by_cofactor" - ed25519_point_mul_by_cofactor :: Ptr Point -- eight_a - -> Ptr Point -- a - -> IO () + ed25519_point_mul_by_cofactor + :: Ptr Point -- eight_a + -> Ptr Point -- a + -> IO () foreign import ccall "crypton_ed25519_point_base_scalarmul" - ed25519_point_base_scalarmul :: Ptr Point -- scaled - -> Ptr Scalar -- scalar - -> IO () + ed25519_point_base_scalarmul + :: Ptr Point -- scaled + -> Ptr Scalar -- scalar + -> IO () foreign import ccall "crypton_ed25519_point_scalarmul" - ed25519_point_scalarmul :: Ptr Point -- scaled - -> Ptr Point -- base - -> Ptr Scalar -- scalar - -> IO () + ed25519_point_scalarmul + :: Ptr Point -- scaled + -> Ptr Point -- base + -> Ptr Scalar -- scalar + -> IO () foreign import ccall "crypton_ed25519_base_double_scalarmul_vartime" - ed25519_base_double_scalarmul_vartime :: Ptr Point -- combo - -> Ptr Scalar -- scalar1 - -> Ptr Point -- base2 - -> Ptr Scalar -- scalar2 - -> IO () + ed25519_base_double_scalarmul_vartime + :: Ptr Point -- combo + -> Ptr Scalar -- scalar1 + -> Ptr Point -- base2 + -> Ptr Scalar -- scalar2 + -> IO () diff --git a/Crypto/ECC/Simple/Prim.hs b/Crypto/ECC/Simple/Prim.hs --- a/Crypto/ECC/Simple/Prim.hs +++ b/Crypto/ECC/Simple/Prim.hs @@ -1,56 +1,66 @@ +{-# LANGUAGE BangPatterns #-} +{-# LANGUAGE ScopedTypeVariables #-} + -- | Elliptic Curve Arithmetic. -- -- /WARNING:/ These functions are vulnerable to timing attacks. -{-# LANGUAGE ScopedTypeVariables #-} -module Crypto.ECC.Simple.Prim - ( scalarGenerate - , scalarFromInteger - , pointAdd - , pointNegate - , pointDouble - , pointBaseMul - , pointMul - , pointAddTwoMuls - , pointFromIntegers - , isPointAtInfinity - , isPointValid - ) where +module Crypto.ECC.Simple.Prim ( + scalarGenerate, + scalarFromInteger, + pointAdd, + pointNegate, + pointDouble, + pointBaseMul, + pointMul, + pointAddTwoMuls, + pointFromIntegers, + isPointAtInfinity, + isPointValid, + isPointInSubgroup, +) where -import Data.Maybe -import Data.Proxy -import Crypto.Number.ModArithmetic -import Crypto.Number.F2m -import Crypto.Number.Generate (generateBetween) import Crypto.ECC.Simple.Types import Crypto.Error +import Crypto.Internal.ECC (CurveField (..), MulResult (..), curveMul) +import Crypto.Number.Basic (numBits) +import Crypto.Number.F2m +import Crypto.Number.Generate (generateBetween) +import Crypto.Number.ModArithmetic import Crypto.Random +import Data.Bits (shiftL, shiftR, testBit, (.&.)) +import Data.Maybe +import Data.Proxy + -- | Generate a valid scalar for a specific Curve -scalarGenerate :: forall randomly curve . (MonadRandom randomly, Curve curve) => randomly (Scalar curve) +scalarGenerate + :: forall randomly curve + . (MonadRandom randomly, Curve curve) => randomly (Scalar curve) scalarGenerate = Scalar <$> generateBetween 1 (n - 1) where n = curveEccN $ curveParameters (Proxy :: Proxy curve) -scalarFromInteger :: forall curve . Curve curve => Integer -> CryptoFailable (Scalar curve) +scalarFromInteger + :: forall curve. Curve curve => Integer -> CryptoFailable (Scalar curve) scalarFromInteger n - | n < 0 || n >= mx = CryptoFailed $ CryptoError_EcScalarOutOfBounds - | otherwise = CryptoPassed $ Scalar n + | n < 0 || n >= mx = CryptoFailed $ CryptoError_EcScalarOutOfBounds + | otherwise = CryptoPassed $ Scalar n where mx = case curveType (Proxy :: Proxy curve) of - CurveBinary (CurveBinaryParam b) -> b - CurvePrime (CurvePrimeParam p) -> p + CurveBinary (CurveBinaryParam b) -> b + CurvePrime (CurvePrimeParam p) -> p ---TODO: Extract helper function for `fromMaybe PointO...` +-- TODO: Extract helper function for `fromMaybe PointO...` -- | Elliptic Curve point negation: -- @pointNegate p@ returns point @q@ such that @pointAdd p q == PointO@. pointNegate :: Curve curve => Point curve -> Point curve -pointNegate PointO = PointO +pointNegate PointO = PointO pointNegate point@(Point x y) = case curveType point of CurvePrime (CurvePrimeParam p) -> Point x (p - y) - CurveBinary {} -> Point x (x `addF2m` y) + CurveBinary{} -> Point x (x `addF2m` y) -- | Elliptic Curve point addition. -- @@ -60,13 +70,13 @@ pointAdd PointO q = q pointAdd p PointO = p pointAdd p q - | p == q = pointDouble p - | p == pointNegate q = PointO + | p == q = pointDouble p + | p == pointNegate q = PointO pointAdd point@(Point xp yp) (Point xq yq) = case ty of CurvePrime (CurvePrimeParam pr) -> fromMaybe PointO $ do s <- divmod (yp - yq) (xp - xq) pr - let xr = (s ^ (2::Int) - xp - xq) `mod` pr + let xr = (s ^ (2 :: Int) - xp - xq) `mod` pr yr = (s * (xp - xr) - yp) `mod` pr return $ Point xr yr CurveBinary (CurveBinaryParam fx) -> fromMaybe PointO $ do @@ -77,7 +87,7 @@ where ty = curveType point cc = curveParameters point - a = curveEccA cc + a = curveEccA cc -- | Elliptic Curve point doubling. -- @@ -94,19 +104,18 @@ -- > s = xp + (yp / xp) -- > xr = s ^ 2 + s + a -- > yr = xp ^ 2 + (s+1) * xr --- pointDouble :: Curve curve => Point curve -> Point curve pointDouble PointO = PointO pointDouble point@(Point xp yp) = case ty of CurvePrime (CurvePrimeParam pr) -> fromMaybe PointO $ do - lambda <- divmod (3 * xp ^ (2::Int) + a) (2 * yp) pr - let xr = (lambda ^ (2::Int) - 2 * xp) `mod` pr + lambda <- divmod (3 * xp ^ (2 :: Int) + a) (2 * yp) pr + let xr = (lambda ^ (2 :: Int) - 2 * xp) `mod` pr yr = (lambda * (xp - xr) - yp) `mod` pr return $ Point xr yr CurveBinary (CurveBinaryParam fx) - | xp == 0 -> PointO - | otherwise -> fromMaybe PointO $ do + | xp == 0 -> PointO + | otherwise -> fromMaybe PointO $ do s <- return . addF2m xp =<< divF2m fx yp xp let xr = mulF2m fx s s `addF2m` s `addF2m` a yr = mulF2m fx xp xp `addF2m` mulF2m fx xr (s `addF2m` 1) @@ -114,7 +123,7 @@ where ty = curveType point cc = curveParameters point - a = curveEccA cc + a = curveEccA cc -- | Elliptic curve point multiplication using the base -- @@ -122,53 +131,251 @@ pointBaseMul :: Curve curve => Scalar curve -> Point curve pointBaseMul n = pointMul n (curveEccG $ curveParameters (Proxy :: Proxy curve)) --- | Elliptic curve point multiplication (double and add algorithm). +-- | Elliptic curve point multiplication. -- --- /WARNING:/ Vulnerable to timing attacks. -pointMul :: Curve curve => Scalar curve -> Point curve -> Point curve +-- Over a prime field this goes to C, four bits of scalar at a time, with the +-- multiple to add taken from a table read by touching every entry of it. +-- Over a binary field it also goes to C, as Montgomery's ladder: it carries +-- the x coordinates of two consecutive multiples -- their difference being +-- the point is what lets it carry no more than that -- and spends one +-- addition and one doubling on every bit whichever way the bit goes, with the +-- two exchanged by a mask rather than chosen by a branch. Either way the work +-- follows the width of the curve's order and not the scalar. +-- +-- What falls back on the 'Integer' arithmetic below is a point that is not on +-- the curve, the one point of a binary curve that has no x, and a prime the C +-- will not take. +-- +-- Multiplying the base point of a curve over a prime field -- which is what +-- signing and making a key do, and nothing else does -- goes through a table +-- of its multiples, built when that curve is first asked for one and kept +-- afterwards. The build is a few milliseconds and the table a few hundred +-- kilobytes, and a multiplication that uses it takes about a third of what +-- one without it takes. +-- +-- /WARNING:/ What is left of the 'Integer' arithmetic below -- a point off +-- the curve, the one point of a binary curve with no x, a prime or a +-- polynomial the C will not take -- has uniform operation counts at best, and +-- uniform operation counts are not constant time: those operations cost what +-- the values they are given cost. See the note in +-- "Crypto.ECC". +pointMul + :: forall curve. Curve curve => Scalar curve -> Point curve -> Point curve pointMul _ PointO = PointO pointMul (Scalar n) p - | n == 0 = PointO - | n == 1 = p - | odd n = pointAdd p (pointMul (Scalar (n - 1)) p) - | otherwise = pointMul (Scalar (n `div` 2)) (pointDouble p) + | n == 0 = PointO + | n < 0 = pointNegate (pointMul (Scalar (negate n) :: Scalar curve) p) + | otherwise = + case curveType (Proxy :: Proxy curve) of + CurvePrime (CurvePrimeParam pr) -> primeMul pr + CurveBinary (CurveBinaryParam fx) -> binaryMul fx + where + cc = curveParameters (Proxy :: Proxy curve) + a = curveEccA cc + -- Count to the width of the order, which is public, so a scalar in range + -- -- which is every secret one -- takes the same number of steps whatever + -- it is. A scalar may still be given out of range, and then the count has + -- to follow it or the high bits would be dropped. + bits = max (integerBits n) (integerBits (curveEccN cc)) --- | Elliptic curve double-scalar multiplication (uses Shamir's trick). + -- The C answers for a point on the curve; anything else keeps the + -- answers it has always had from the code below. + primeMul pr = case p of + Point px py + | isPointValid (Proxy :: Proxy curve) px py -> + answer slow $ + curveMul + (Prime pr a (curveEccB cc)) + (curveEccN cc) + n + px + py + (p == curveEccG cc) + _ -> slow + where + slow = jacobianMul pr a bits n p + + -- The ladder answers for a point on the curve that has an x; the one + -- point with no x, and anything off the curve, keep what they had. + binaryMul fx = case p of + Point px py + | isPointValid (Proxy :: Proxy curve) px py -> + answer (affineMul n p) $ + curveMul (Binary fx (curveEccB cc)) (curveEccN cc) n px py False + _ -> affineMul n p + + -- what the C could not take goes back to the code that was here before + answer fallback r = case r of + MulPoint x y -> Point x y + MulInfinity -> PointO + MulUnsupported -> fallback + + affineMul k q + | k == 0 = PointO + | k == 1 = q + | odd k = pointAdd q (affineMul (k - 1) q) + | otherwise = affineMul (k `div` 2) (pointDouble q) + +-- | Number of bits needed to write n, for n > 0. +integerBits :: Integer -> Int +integerBits = go 0 + where + go acc 0 = acc + go acc k = go (acc + 1) (k `div` 2) + +-- | A point in Jacobian coordinates: @(X, Y, Z)@ stands for the affine +-- @(X\/Z^2, Y\/Z^3)@, and @JPointO@ for the point at infinity. Only ever +-- used inside this module, since t'Point' is what the curve exposes. +data JPoint = JPointO | JPoint !Integer !Integer !Integer + +-- | The prime, the width to fold at, and what to fold back in. A @c@ of zero +-- says to divide instead, either because the prime has no such shape or +-- because it is too small for folding to pay: @c@ has to be under half the +-- width, or folding would not shrink the number, and below 256 bits the +-- handful of 'Integer' operations folding takes costs more than the division +-- it saves -- measured on P-192, where folding is 14% slower. -- +-- Most curve primes are @2^k - c@ with @c@ far smaller than the prime, and +-- then reducing is a shift, a multiplication by @c@ and an addition, where +-- dividing a number twice the width costs about four times as much. +data Field = Field !Integer !Int !Integer + +mkField :: Integer -> Field +mkField p + | p > 0 && c > 0 && 2 * numBits c <= k && k >= 256 = Field p k c + | otherwise = Field p 0 0 + where + k = numBits p + c = (1 `shiftL` k) - p + +fieldPrime :: Field -> Integer +fieldPrime (Field p _ _) = p + +fieldReduce :: Field -> Integer -> Integer +fieldReduce (Field p k c) x + | c == 0 || x < 0 = x `mod` p + | otherwise = trim (fold x) + where + mask = (1 `shiftL` k) - 1 + fold v + | v > mask = fold ((v `shiftR` k) * c + (v .&. mask)) + | otherwise = v + trim v + | v >= p = trim (v - p) + | otherwise = v +{-# INLINE fieldReduce #-} + +jacobianMul + :: Integer -> Integer -> Int -> Integer -> Point curve -> Point curve +jacobianMul _ _ _ _ PointO = PointO +jacobianMul pr a bits n (Point px py) = fromJacobian f (go (bits - 1) JPointO) + where + f = mkField pr + + -- The bangs are what make the addition happen at every bit. Without + -- them the one that is not taken stays a thunk and is never worked out, + -- so the multiplication costs a step for every bit that is set rather + -- than for every bit there is, and a single measurement tells an attacker + -- how many bits of the scalar are set. + go i acc + | i < 0 = acc + | otherwise = + let !d = jDouble f a acc + !s = jAddAffine f a d px py + in go (i - 1) (if testBit n i then s else d) + +jDouble :: Field -> Integer -> JPoint -> JPoint +jDouble _ _ JPointO = JPointO +jDouble f a (JPoint x y z) + | y == 0 = JPointO + | otherwise = JPoint x3 y3 z3 + where + red = fieldReduce f + yy = red (y * y) + delta = red (4 * x * yy) + zz = red (z * z) + m = red (3 * x * x + a * zz * zz) + x3 = red (m * m - 2 * delta) + y3 = red (m * (delta - x3) - 8 * yy * yy) + z3 = red (2 * y * z) + +-- | Add a point whose z is one, which is what a scalar multiplication always +-- adds: u1 is x1, s1 is y1, and z3 is one multiplication rather than two. +jAddAffine :: Field -> Integer -> JPoint -> Integer -> Integer -> JPoint +jAddAffine _ _ JPointO x2 y2 = JPoint x2 y2 1 +jAddAffine f a p@(JPoint x1 y1 z1) x2 y2 + | h /= 0 = JPoint x3 y3 z3 + | r /= 0 = JPointO + | otherwise = jDouble f a p + where + red = fieldReduce f + z1s = red (z1 * z1) + u2 = red (x2 * z1s) + s2 = red (y2 * z1s * z1) + h = red (u2 - x1) + r = red (s2 - y1) + h2 = red (h * h) + h3 = red (h2 * h) + x3 = red (r * r - h3 - 2 * x1 * h2) + y3 = red (r * (x1 * h2 - x3) - y1 * h3) + z3 = red (h * z1) + +fromJacobian :: Field -> JPoint -> Point curve +fromJacobian _ JPointO = PointO +fromJacobian f (JPoint x y z) = + case inverse z (fieldPrime f) of + Nothing -> PointO + Just zi -> + let red = fieldReduce f + zi2 = red (zi * zi) + in Point (red (x * zi2)) (red (y * zi2 * zi)) + +-- | Elliptic curve double-scalar multiplication. +-- -- > pointAddTwoMuls n1 p1 n2 p2 == pointAdd (pointMul n1 p1) -- > (pointMul n2 p2) -- +-- which is how it is done: the two multiplications separately, and then one +-- addition. +-- +-- This used to be Shamir's trick, one pass over the bits of both scalars at +-- once, which shares the doublings between them and is the right thing to do +-- when the two multiplications would cost the same. They no longer do. +-- 'pointMul' goes to C, and over a prime field it multiplies the base point +-- through a table of its multiples, which is a third of the price of an +-- ordinary multiplication -- and the base point is one of the two here, +-- since ECDSA verification is what asks for this. Sharing the doublings +-- with a pass in "Integer" arithmetic gives that up and more: on P-384 it +-- costs twice what two multiplications in C cost, and on the curves over a +-- binary field, whose addition needs an inversion where C has a ladder that +-- needs none, it costs two hundred times as much. +-- -- /WARNING:/ Vulnerable to timing attacks. -pointAddTwoMuls :: Curve curve => Scalar curve -> Point curve -> Scalar curve -> Point curve -> Point curve -pointAddTwoMuls _ PointO _ PointO = PointO -pointAddTwoMuls _ PointO n2 p2 = pointMul n2 p2 -pointAddTwoMuls n1 p1 _ PointO = pointMul n1 p1 -pointAddTwoMuls (Scalar n1) p1 (Scalar n2) p2 = go (n1, n2) - where - p0 = pointAdd p1 p2 - - go (0, 0 ) = PointO - go (k1, k2) = - let q = pointDouble $ go (k1 `div` 2, k2 `div` 2) - in case (odd k1, odd k2) of - (True , True ) -> pointAdd p0 q - (True , False ) -> pointAdd p1 q - (False , True ) -> pointAdd p2 q - (False , False ) -> q +pointAddTwoMuls + :: forall curve + . Curve curve + => Scalar curve -> Point curve -> Scalar curve -> Point curve -> Point curve +pointAddTwoMuls n1 p1 n2 p2 = pointAdd (pointMul n1 p1) (pointMul n2 p2) -- | Check if a point is the point at infinity. isPointAtInfinity :: Point curve -> Bool isPointAtInfinity PointO = True -isPointAtInfinity _ = False +isPointAtInfinity _ = False -- | Make a point on a curve from integer (x,y) coordinate -- -- if the point is not valid related to the curve then an error is -- returned instead of a point -pointFromIntegers :: forall curve . Curve curve => (Integer, Integer) -> CryptoFailable (Point curve) -pointFromIntegers (x,y) - | isPointValid (Proxy :: Proxy curve) x y = CryptoPassed $ Point x y - | otherwise = CryptoFailed $ CryptoError_PointCoordinatesInvalid +pointFromIntegers + :: forall curve. Curve curve => (Integer, Integer) -> CryptoFailable (Point curve) +pointFromIntegers (x, y) + | not (isPointValid (Proxy :: Proxy curve) x y) = + CryptoFailed CryptoError_PointCoordinatesInvalid + | not (isPointInSubgroup (Proxy :: Proxy curve) p) = + CryptoFailed CryptoError_PointSubgroupInvalid + | otherwise = CryptoPassed p + where + p = Point x y -- | check if a point is on specific curve -- @@ -181,23 +388,42 @@ isPointValid proxy x y = case ty of CurvePrime (CurvePrimeParam p) -> - let a = curveEccA cc - b = curveEccB cc + let a = curveEccA cc + b = curveEccB cc eqModP z1 z2 = (z1 `mod` p) == (z2 `mod` p) isValid e = e >= 0 && e < p in isValid x && isValid y && (y ^ (2 :: Int)) `eqModP` (x ^ (3 :: Int) + a * x + b) CurveBinary (CurveBinaryParam fx) -> - let a = curveEccA cc - b = curveEccB cc + let a = curveEccA cc + b = curveEccB cc add = addF2m mul = mulF2m fx isValid e = modF2m fx e == e - in and [ isValid x + in and + [ isValid x , isValid y , ((((x `add` a) `mul` x `add` y) `mul` x) `add` b `add` (squareF2m fx y)) == 0 ] where ty = curveType proxy + cc = curveParameters proxy + +-- | Check that a point is in the subgroup the base point generates, which is +-- the further check 'isPointValid' does not make. A point that is on the +-- curve but outside that subgroup answers a multiplication modulo an order +-- smaller than the group's, so the multiplier -- a private number, where the +-- point came from a peer -- is revealed modulo that small order. +-- +-- Where the cofactor is 1 the subgroup is the whole curve group and the +-- answer is 'True' for any point on the curve, at no cost. Otherwise the +-- point is multiplied by the group order and the answer is whether that +-- reaches the point at infinity, which costs one scalar multiplication. +isPointInSubgroup + :: forall proxy curve. Curve curve => proxy curve -> Point curve -> Bool +isPointInSubgroup proxy p + | curveEccH cc == 1 = True + | otherwise = pointMul (Scalar (curveEccN cc) :: Scalar curve) p == PointO + where cc = curveParameters proxy -- | div and mod diff --git a/Crypto/ECC/Simple/Types.hs b/Crypto/ECC/Simple/Types.hs --- a/Crypto/ECC/Simple/Types.hs +++ b/Crypto/ECC/Simple/Types.hs @@ -1,5 +1,7 @@ {-# LANGUAGE DeriveDataTypeable #-} {-# LANGUAGE GeneralizedNewtypeDeriving #-} +{-# OPTIONS_GHC -fno-warn-missing-signatures #-} + -- | -- Module : Crypto.ECC.Simple.Types -- License : BSD-style @@ -9,57 +11,56 @@ -- -- References: -- --- -{-# OPTIONS_GHC -fno-warn-missing-signatures #-} -module Crypto.ECC.Simple.Types - ( Curve(..) - , Point(..) - , Scalar(..) - , CurveType(..) - , CurveBinaryParam(..) - , CurvePrimeParam(..) - , curveSizeBits - , curveSizeBytes - , CurveParameters(..) +module Crypto.ECC.Simple.Types ( + Curve (..), + Point (..), + Scalar (..), + CurveType (..), + CurveBinaryParam (..), + CurvePrimeParam (..), + curveSizeBits, + curveSizeBytes, + CurveParameters (..), + -- * Specific curves definition - , SEC_p112r1(..) - , SEC_p112r2(..) - , SEC_p128r1(..) - , SEC_p128r2(..) - , SEC_p160k1(..) - , SEC_p160r1(..) - , SEC_p160r2(..) - , SEC_p192k1(..) - , SEC_p192r1(..) -- aka prime192v1 - , SEC_p224k1(..) - , SEC_p224r1(..) - , SEC_p256k1(..) - , SEC_p256r1(..) -- aka prime256v1 - , SEC_p384r1(..) - , SEC_p521r1(..) - , SEC_t113r1(..) - , SEC_t113r2(..) - , SEC_t131r1(..) - , SEC_t131r2(..) - , SEC_t163k1(..) - , SEC_t163r1(..) - , SEC_t163r2(..) - , SEC_t193r1(..) - , SEC_t193r2(..) - , SEC_t233k1(..) -- aka NIST K-233 - , SEC_t233r1(..) - , SEC_t239k1(..) - , SEC_t283k1(..) - , SEC_t283r1(..) - , SEC_t409k1(..) - , SEC_t409r1(..) - , SEC_t571k1(..) - , SEC_t571r1(..) - ) where + SEC_p112r1 (..), + SEC_p112r2 (..), + SEC_p128r1 (..), + SEC_p128r2 (..), + SEC_p160k1 (..), + SEC_p160r1 (..), + SEC_p160r2 (..), + SEC_p192k1 (..), + SEC_p192r1 (..), -- aka prime192v1 + SEC_p224k1 (..), + SEC_p224r1 (..), + SEC_p256k1 (..), + SEC_p256r1 (..), -- aka prime256v1 + SEC_p384r1 (..), + SEC_p521r1 (..), + SEC_t113r1 (..), + SEC_t113r2 (..), + SEC_t131r1 (..), + SEC_t131r2 (..), + SEC_t163k1 (..), + SEC_t163r1 (..), + SEC_t163r2 (..), + SEC_t193r1 (..), + SEC_t193r2 (..), + SEC_t233k1 (..), -- aka NIST K-233 + SEC_t233r1 (..), + SEC_t239k1 (..), + SEC_t283k1 (..), + SEC_t283r1 (..), + SEC_t409k1 (..), + SEC_t409r1 (..), + SEC_t571k1 (..), + SEC_t571r1 (..), +) where -import Data.Data -import Crypto.Internal.Imports -import Crypto.Number.Basic (numBits) +import Crypto.Internal.Imports +import Crypto.Number.Basic (numBits) +import Data.Data class Curve curve where curveParameters :: proxy curve -> CurveParameters curve @@ -69,7 +70,7 @@ curveSizeBits :: Curve curve => proxy curve -> Int curveSizeBits proxy = case curveType proxy of - CurvePrime (CurvePrimeParam p) -> numBits p + CurvePrime (CurvePrimeParam p) -> numBits p CurveBinary (CurveBinaryParam c) -> numBits c - 1 -- | get the size of the curve in bytes @@ -79,72 +80,92 @@ -- | Define common parameters in a curve definition -- of the form: y^2 = x^3 + ax + b. data CurveParameters curve = CurveParameters - { curveEccA :: Integer -- ^ curve parameter a - , curveEccB :: Integer -- ^ curve parameter b - , curveEccG :: Point curve -- ^ base point - , curveEccN :: Integer -- ^ order of G - , curveEccH :: Integer -- ^ cofactor - } deriving (Show,Eq,Data) + { curveEccA :: Integer + -- ^ curve parameter a + , curveEccB :: Integer + -- ^ curve parameter b + , curveEccG :: Point curve + -- ^ base point + , curveEccN :: Integer + -- ^ order of G + , curveEccH :: Integer + -- ^ cofactor + } + deriving (Show, Eq, Data) newtype CurveBinaryParam = CurveBinaryParam Integer - deriving (Show,Read,Eq,Data) + deriving (Show, Read, Eq, Data) newtype CurvePrimeParam = CurvePrimeParam Integer - deriving (Show,Read,Eq,Data) + deriving (Show, Read, Eq, Data) -data CurveType = - CurveBinary CurveBinaryParam +data CurveType + = CurveBinary CurveBinaryParam | CurvePrime CurvePrimeParam - deriving (Show,Read,Eq,Data) + deriving (Show, Read, Eq, Data) -- | ECC Private Number newtype Scalar curve = Scalar Integer - deriving (Show,Read,Eq,Data,NFData) + deriving (Show, Read, Eq, Data, NFData) -- | Define a point on a curve. -data Point curve = - Point Integer Integer - | PointO -- ^ Point at Infinity - deriving (Show,Read,Eq,Data) +data Point curve + = Point Integer Integer + | -- | Point at Infinity + PointO + deriving (Show, Read, Eq, Data) instance NFData (Point curve) where rnf (Point x y) = x `seq` y `seq` () rnf PointO = () -data SEC_p112r1 = SEC_p112r1 deriving (Show,Read,Eq) -data SEC_p112r2 = SEC_p112r2 deriving (Show,Read,Eq) -data SEC_p128r1 = SEC_p128r1 deriving (Show,Read,Eq) -data SEC_p128r2 = SEC_p128r2 deriving (Show,Read,Eq) -data SEC_p160k1 = SEC_p160k1 deriving (Show,Read,Eq) -data SEC_p160r1 = SEC_p160r1 deriving (Show,Read,Eq) -data SEC_p160r2 = SEC_p160r2 deriving (Show,Read,Eq) -data SEC_p192k1 = SEC_p192k1 deriving (Show,Read,Eq) -data SEC_p192r1 = SEC_p192r1 deriving (Show,Read,Eq) -data SEC_p224k1 = SEC_p224k1 deriving (Show,Read,Eq) -data SEC_p224r1 = SEC_p224r1 deriving (Show,Read,Eq) -data SEC_p256k1 = SEC_p256k1 deriving (Show,Read,Eq) -data SEC_p256r1 = SEC_p256r1 deriving (Show,Read,Eq) -data SEC_p384r1 = SEC_p384r1 deriving (Show,Read,Eq) -data SEC_p521r1 = SEC_p521r1 deriving (Show,Read,Eq) -data SEC_t113r1 = SEC_t113r1 deriving (Show,Read,Eq) -data SEC_t113r2 = SEC_t113r2 deriving (Show,Read,Eq) -data SEC_t131r1 = SEC_t131r1 deriving (Show,Read,Eq) -data SEC_t131r2 = SEC_t131r2 deriving (Show,Read,Eq) -data SEC_t163k1 = SEC_t163k1 deriving (Show,Read,Eq) -data SEC_t163r1 = SEC_t163r1 deriving (Show,Read,Eq) -data SEC_t163r2 = SEC_t163r2 deriving (Show,Read,Eq) -data SEC_t193r1 = SEC_t193r1 deriving (Show,Read,Eq) -data SEC_t193r2 = SEC_t193r2 deriving (Show,Read,Eq) -data SEC_t233k1 = SEC_t233k1 deriving (Show,Read,Eq) -data SEC_t233r1 = SEC_t233r1 deriving (Show,Read,Eq) -data SEC_t239k1 = SEC_t239k1 deriving (Show,Read,Eq) -data SEC_t283k1 = SEC_t283k1 deriving (Show,Read,Eq) -data SEC_t283r1 = SEC_t283r1 deriving (Show,Read,Eq) -data SEC_t409k1 = SEC_t409k1 deriving (Show,Read,Eq) -data SEC_t409r1 = SEC_t409r1 deriving (Show,Read,Eq) -data SEC_t571k1 = SEC_t571k1 deriving (Show,Read,Eq) -data SEC_t571r1 = SEC_t571r1 deriving (Show,Read,Eq) +data SEC_p112r1 = SEC_p112r1 deriving (Show, Read, Eq) +data SEC_p112r2 = SEC_p112r2 deriving (Show, Read, Eq) +data SEC_p128r1 = SEC_p128r1 deriving (Show, Read, Eq) +data SEC_p128r2 = SEC_p128r2 deriving (Show, Read, Eq) +data SEC_p160k1 = SEC_p160k1 deriving (Show, Read, Eq) +data SEC_p160r1 = SEC_p160r1 deriving (Show, Read, Eq) +data SEC_p160r2 = SEC_p160r2 deriving (Show, Read, Eq) +data SEC_p192k1 = SEC_p192k1 deriving (Show, Read, Eq) +data SEC_p192r1 = SEC_p192r1 deriving (Show, Read, Eq) +data SEC_p224k1 = SEC_p224k1 deriving (Show, Read, Eq) +data SEC_p224r1 = SEC_p224r1 deriving (Show, Read, Eq) +data SEC_p256k1 = SEC_p256k1 deriving (Show, Read, Eq) +data SEC_p256r1 = SEC_p256r1 deriving (Show, Read, Eq) +data SEC_p384r1 = SEC_p384r1 deriving (Show, Read, Eq) +data SEC_p521r1 = SEC_p521r1 deriving (Show, Read, Eq) +data SEC_t113r1 = SEC_t113r1 deriving (Show, Read, Eq) +data SEC_t113r2 = SEC_t113r2 deriving (Show, Read, Eq) +data SEC_t131r1 = SEC_t131r1 deriving (Show, Read, Eq) +data SEC_t131r2 = SEC_t131r2 deriving (Show, Read, Eq) +data SEC_t163k1 = SEC_t163k1 deriving (Show, Read, Eq) +data SEC_t163r1 = SEC_t163r1 deriving (Show, Read, Eq) +data SEC_t163r2 = SEC_t163r2 deriving (Show, Read, Eq) +data SEC_t193r1 = SEC_t193r1 deriving (Show, Read, Eq) +data SEC_t193r2 = SEC_t193r2 deriving (Show, Read, Eq) +data SEC_t233k1 = SEC_t233k1 deriving (Show, Read, Eq) +data SEC_t233r1 = SEC_t233r1 deriving (Show, Read, Eq) +data SEC_t239k1 = SEC_t239k1 deriving (Show, Read, Eq) +data SEC_t283k1 = SEC_t283k1 deriving (Show, Read, Eq) +data SEC_t283r1 = SEC_t283r1 deriving (Show, Read, Eq) +data SEC_t409k1 = SEC_t409k1 deriving (Show, Read, Eq) +data SEC_t409r1 = SEC_t409r1 deriving (Show, Read, Eq) +data SEC_t571k1 = SEC_t571k1 deriving (Show, Read, Eq) +data SEC_t571r1 = SEC_t571r1 deriving (Show, Read, Eq) +{-# DEPRECATED + SEC_t113r1, SEC_t113r2, SEC_t131r1, SEC_t131r2, SEC_t163k1, SEC_t163r1, + SEC_t163r2, SEC_t193r1, SEC_t193r2, SEC_t233k1, SEC_t233r1, SEC_t239k1, + SEC_t283k1, SEC_t283r1, SEC_t409k1, SEC_t409r1, SEC_t571k1, SEC_t571r1 + [ "This curve is over a binary field, and those are obsolete." + , "They are also the curves whose cofactor is not 1, so a point from" + , "a peer needs the subgroup check that costs a further scalar" + , "multiplication; pyca/cryptography deprecated them for removal in" + , "the release that fixed CVE-2026-26007. This one will go in a" + , "later major version of crypton. Prefer a prime curve, or X25519." + ] + #-} + -- | Define names for known recommended curves. instance Curve SEC_p112r1 where curveType _ = typeSEC_p112r1 @@ -318,299 +339,468 @@ -} typeSEC_p112r1 = CurvePrime $ CurvePrimeParam 0xdb7c2abf62e35e668076bead208b -paramSEC_p112r1 = CurveParameters - { curveEccA = 0xdb7c2abf62e35e668076bead2088 - , curveEccB = 0x659ef8ba043916eede8911702b22 - , curveEccG = Point 0x09487239995a5ee76b55f9c2f098 - 0xa89ce5af8724c0a23e0e0ff77500 - , curveEccN = 0xdb7c2abf62e35e7628dfac6561c5 - , curveEccH = 1 - } +paramSEC_p112r1 = + CurveParameters + { curveEccA = 0xdb7c2abf62e35e668076bead2088 + , curveEccB = 0x659ef8ba043916eede8911702b22 + , curveEccG = + Point + 0x09487239995a5ee76b55f9c2f098 + 0xa89ce5af8724c0a23e0e0ff77500 + , curveEccN = 0xdb7c2abf62e35e7628dfac6561c5 + , curveEccH = 1 + } typeSEC_p112r2 = CurvePrime $ CurvePrimeParam 0xdb7c2abf62e35e668076bead208b -paramSEC_p112r2 = CurveParameters - { curveEccA = 0x6127c24c05f38a0aaaf65c0ef02c - , curveEccB = 0x51def1815db5ed74fcc34c85d709 - , curveEccG = Point 0x4ba30ab5e892b4e1649dd0928643 - 0xadcd46f5882e3747def36e956e97 - , curveEccN = 0x36df0aafd8b8d7597ca10520d04b - , curveEccH = 4 - } +paramSEC_p112r2 = + CurveParameters + { curveEccA = 0x6127c24c05f38a0aaaf65c0ef02c + , curveEccB = 0x51def1815db5ed74fcc34c85d709 + , curveEccG = + Point + 0x4ba30ab5e892b4e1649dd0928643 + 0xadcd46f5882e3747def36e956e97 + , curveEccN = 0x36df0aafd8b8d7597ca10520d04b + , curveEccH = 4 + } typeSEC_p128r1 = CurvePrime $ CurvePrimeParam 0xfffffffdffffffffffffffffffffffff -paramSEC_p128r1 = CurveParameters - { curveEccA = 0xfffffffdfffffffffffffffffffffffc - , curveEccB = 0xe87579c11079f43dd824993c2cee5ed3 - , curveEccG = Point 0x161ff7528b899b2d0c28607ca52c5b86 - 0xcf5ac8395bafeb13c02da292dded7a83 - , curveEccN = 0xfffffffe0000000075a30d1b9038a115 - , curveEccH = 1 - } +paramSEC_p128r1 = + CurveParameters + { curveEccA = 0xfffffffdfffffffffffffffffffffffc + , curveEccB = 0xe87579c11079f43dd824993c2cee5ed3 + , curveEccG = + Point + 0x161ff7528b899b2d0c28607ca52c5b86 + 0xcf5ac8395bafeb13c02da292dded7a83 + , curveEccN = 0xfffffffe0000000075a30d1b9038a115 + , curveEccH = 1 + } typeSEC_p128r2 = CurvePrime $ CurvePrimeParam 0xfffffffdffffffffffffffffffffffff -paramSEC_p128r2 = CurveParameters - { curveEccA = 0xd6031998d1b3bbfebf59cc9bbff9aee1 - , curveEccB = 0x5eeefca380d02919dc2c6558bb6d8a5d - , curveEccG = Point 0x7b6aa5d85e572983e6fb32a7cdebc140 - 0x27b6916a894d3aee7106fe805fc34b44 - , curveEccN = 0x3fffffff7fffffffbe0024720613b5a3 - , curveEccH = 4 - } +paramSEC_p128r2 = + CurveParameters + { curveEccA = 0xd6031998d1b3bbfebf59cc9bbff9aee1 + , curveEccB = 0x5eeefca380d02919dc2c6558bb6d8a5d + , curveEccG = + Point + 0x7b6aa5d85e572983e6fb32a7cdebc140 + 0x27b6916a894d3aee7106fe805fc34b44 + , curveEccN = 0x3fffffff7fffffffbe0024720613b5a3 + , curveEccH = 4 + } typeSEC_p160k1 = CurvePrime $ CurvePrimeParam 0x00fffffffffffffffffffffffffffffffeffffac73 -paramSEC_p160k1 = CurveParameters - { curveEccA = 0x000000000000000000000000000000000000000000 - , curveEccB = 0x000000000000000000000000000000000000000007 - , curveEccG = Point 0x003b4c382ce37aa192a4019e763036f4f5dd4d7ebb - 0x00938cf935318fdced6bc28286531733c3f03c4fee - , curveEccN = 0x0100000000000000000001b8fa16dfab9aca16b6b3 - , curveEccH = 1 - } +paramSEC_p160k1 = + CurveParameters + { curveEccA = 0x000000000000000000000000000000000000000000 + , curveEccB = 0x000000000000000000000000000000000000000007 + , curveEccG = + Point + 0x003b4c382ce37aa192a4019e763036f4f5dd4d7ebb + 0x00938cf935318fdced6bc28286531733c3f03c4fee + , curveEccN = 0x0100000000000000000001b8fa16dfab9aca16b6b3 + , curveEccH = 1 + } typeSEC_p160r1 = CurvePrime $ CurvePrimeParam 0x00ffffffffffffffffffffffffffffffff7fffffff -paramSEC_p160r1 = CurveParameters - { curveEccA = 0x00ffffffffffffffffffffffffffffffff7ffffffc - , curveEccB = 0x001c97befc54bd7a8b65acf89f81d4d4adc565fa45 - , curveEccG = Point 0x004a96b5688ef573284664698968c38bb913cbfc82 - 0x0023a628553168947d59dcc912042351377ac5fb32 - , curveEccN = 0x0100000000000000000001f4c8f927aed3ca752257 - , curveEccH = 1 - } +paramSEC_p160r1 = + CurveParameters + { curveEccA = 0x00ffffffffffffffffffffffffffffffff7ffffffc + , curveEccB = 0x001c97befc54bd7a8b65acf89f81d4d4adc565fa45 + , curveEccG = + Point + 0x004a96b5688ef573284664698968c38bb913cbfc82 + 0x0023a628553168947d59dcc912042351377ac5fb32 + , curveEccN = 0x0100000000000000000001f4c8f927aed3ca752257 + , curveEccH = 1 + } typeSEC_p160r2 = CurvePrime $ CurvePrimeParam 0x00fffffffffffffffffffffffffffffffeffffac73 -paramSEC_p160r2 = CurveParameters - { curveEccA = 0x00fffffffffffffffffffffffffffffffeffffac70 - , curveEccB = 0x00b4e134d3fb59eb8bab57274904664d5af50388ba - , curveEccG = Point 0x0052dcb034293a117e1f4ff11b30f7199d3144ce6d - 0x00feaffef2e331f296e071fa0df9982cfea7d43f2e - , curveEccN = 0x0100000000000000000000351ee786a818f3a1a16b - , curveEccH = 1 - } -typeSEC_p192k1 = CurvePrime $ CurvePrimeParam 0xfffffffffffffffffffffffffffffffffffffffeffffee37 -paramSEC_p192k1 = CurveParameters - { curveEccA = 0x000000000000000000000000000000000000000000000000 - , curveEccB = 0x000000000000000000000000000000000000000000000003 - , curveEccG = Point 0xdb4ff10ec057e9ae26b07d0280b7f4341da5d1b1eae06c7d - 0x9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d - , curveEccN = 0xfffffffffffffffffffffffe26f2fc170f69466a74defd8d - , curveEccH = 1 - } -typeSEC_p192r1 = CurvePrime $ CurvePrimeParam 0xfffffffffffffffffffffffffffffffeffffffffffffffff -paramSEC_p192r1 = CurveParameters - { curveEccA = 0xfffffffffffffffffffffffffffffffefffffffffffffffc - , curveEccB = 0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1 - , curveEccG = Point 0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012 - 0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811 - , curveEccN = 0xffffffffffffffffffffffff99def836146bc9b1b4d22831 - , curveEccH = 1 - } -typeSEC_p224k1 = CurvePrime $ CurvePrimeParam 0x00fffffffffffffffffffffffffffffffffffffffffffffffeffffe56d -paramSEC_p224k1 = CurveParameters - { curveEccA = 0x0000000000000000000000000000000000000000000000000000000000 - , curveEccB = 0x0000000000000000000000000000000000000000000000000000000005 - , curveEccG = Point 0x00a1455b334df099df30fc28a169a467e9e47075a90f7e650eb6b7a45c - 0x007e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5 - , curveEccN = 0x010000000000000000000000000001dce8d2ec6184caf0a971769fb1f7 - , curveEccH = 1 - } -typeSEC_p224r1 = CurvePrime $ CurvePrimeParam 0xffffffffffffffffffffffffffffffff000000000000000000000001 -paramSEC_p224r1 = CurveParameters - { curveEccA = 0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe - , curveEccB = 0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4 - , curveEccG = Point 0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21 - 0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34 - , curveEccN = 0xffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d - , curveEccH = 1 - } -typeSEC_p256k1 = CurvePrime $ CurvePrimeParam 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f -paramSEC_p256k1 = CurveParameters - { curveEccA = 0x0000000000000000000000000000000000000000000000000000000000000000 - , curveEccB = 0x0000000000000000000000000000000000000000000000000000000000000007 - , curveEccG = Point 0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 - 0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8 - , curveEccN = 0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141 - , curveEccH = 1 - } -typeSEC_p256r1 = CurvePrime $ CurvePrimeParam 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff -paramSEC_p256r1 = CurveParameters - { curveEccA = 0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc - , curveEccB = 0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b - , curveEccG = Point 0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296 - 0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5 - , curveEccN = 0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551 - , curveEccH = 1 - } -typeSEC_p384r1 = CurvePrime $ CurvePrimeParam 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff -paramSEC_p384r1 = CurveParameters - { curveEccA = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc - , curveEccB = 0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef - , curveEccG = Point 0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7 - 0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f - , curveEccN = 0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973 - , curveEccH = 1 - } -typeSEC_p521r1 = CurvePrime $ CurvePrimeParam 0x01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff -paramSEC_p521r1 = CurveParameters - { curveEccA = 0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc - , curveEccB = 0x0051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00 - , curveEccG = Point 0x00c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66 - 0x011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650 - , curveEccN = 0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409 - , curveEccH = 1 - } +paramSEC_p160r2 = + CurveParameters + { curveEccA = 0x00fffffffffffffffffffffffffffffffeffffac70 + , curveEccB = 0x00b4e134d3fb59eb8bab57274904664d5af50388ba + , curveEccG = + Point + 0x0052dcb034293a117e1f4ff11b30f7199d3144ce6d + 0x00feaffef2e331f296e071fa0df9982cfea7d43f2e + , curveEccN = 0x0100000000000000000000351ee786a818f3a1a16b + , curveEccH = 1 + } +typeSEC_p192k1 = + CurvePrime $ CurvePrimeParam 0xfffffffffffffffffffffffffffffffffffffffeffffee37 +paramSEC_p192k1 = + CurveParameters + { curveEccA = 0x000000000000000000000000000000000000000000000000 + , curveEccB = 0x000000000000000000000000000000000000000000000003 + , curveEccG = + Point + 0xdb4ff10ec057e9ae26b07d0280b7f4341da5d1b1eae06c7d + 0x9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d + , curveEccN = 0xfffffffffffffffffffffffe26f2fc170f69466a74defd8d + , curveEccH = 1 + } +typeSEC_p192r1 = + CurvePrime $ CurvePrimeParam 0xfffffffffffffffffffffffffffffffeffffffffffffffff +paramSEC_p192r1 = + CurveParameters + { curveEccA = 0xfffffffffffffffffffffffffffffffefffffffffffffffc + , curveEccB = 0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1 + , curveEccG = + Point + 0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012 + 0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811 + , curveEccN = 0xffffffffffffffffffffffff99def836146bc9b1b4d22831 + , curveEccH = 1 + } +typeSEC_p224k1 = + CurvePrime $ + CurvePrimeParam 0x00fffffffffffffffffffffffffffffffffffffffffffffffeffffe56d +paramSEC_p224k1 = + CurveParameters + { curveEccA = 0x0000000000000000000000000000000000000000000000000000000000 + , curveEccB = 0x0000000000000000000000000000000000000000000000000000000005 + , curveEccG = + Point + 0x00a1455b334df099df30fc28a169a467e9e47075a90f7e650eb6b7a45c + 0x007e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5 + , curveEccN = 0x010000000000000000000000000001dce8d2ec6184caf0a971769fb1f7 + , curveEccH = 1 + } +typeSEC_p224r1 = + CurvePrime $ + CurvePrimeParam 0xffffffffffffffffffffffffffffffff000000000000000000000001 +paramSEC_p224r1 = + CurveParameters + { curveEccA = 0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe + , curveEccB = 0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4 + , curveEccG = + Point + 0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21 + 0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34 + , curveEccN = 0xffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d + , curveEccH = 1 + } +typeSEC_p256k1 = + CurvePrime $ + CurvePrimeParam + 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f +paramSEC_p256k1 = + CurveParameters + { curveEccA = 0x0000000000000000000000000000000000000000000000000000000000000000 + , curveEccB = 0x0000000000000000000000000000000000000000000000000000000000000007 + , curveEccG = + Point + 0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 + 0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8 + , curveEccN = 0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141 + , curveEccH = 1 + } +typeSEC_p256r1 = + CurvePrime $ + CurvePrimeParam + 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff +paramSEC_p256r1 = + CurveParameters + { curveEccA = 0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc + , curveEccB = 0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b + , curveEccG = + Point + 0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296 + 0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5 + , curveEccN = 0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551 + , curveEccH = 1 + } +typeSEC_p384r1 = + CurvePrime $ + CurvePrimeParam + 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff +paramSEC_p384r1 = + CurveParameters + { curveEccA = + 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc + , curveEccB = + 0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef + , curveEccG = + Point + 0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7 + 0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f + , curveEccN = + 0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973 + , curveEccH = 1 + } +typeSEC_p521r1 = + CurvePrime $ + CurvePrimeParam + 0x01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +paramSEC_p521r1 = + CurveParameters + { curveEccA = + 0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc + , curveEccB = + 0x0051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00 + , curveEccG = + Point + 0x00c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66 + 0x011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650 + , curveEccN = + 0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409 + , curveEccH = 1 + } typeSEC_t113r1 = CurveBinary $ CurveBinaryParam 0x020000000000000000000000000201 -paramSEC_t113r1 = CurveParameters - { curveEccA = 0x003088250ca6e7c7fe649ce85820f7 - , curveEccB = 0x00e8bee4d3e2260744188be0e9c723 - , curveEccG = Point 0x009d73616f35f4ab1407d73562c10f - 0x00a52830277958ee84d1315ed31886 - , curveEccN = 0x0100000000000000d9ccec8a39e56f - , curveEccH = 2 - } +paramSEC_t113r1 = + CurveParameters + { curveEccA = 0x003088250ca6e7c7fe649ce85820f7 + , curveEccB = 0x00e8bee4d3e2260744188be0e9c723 + , curveEccG = + Point + 0x009d73616f35f4ab1407d73562c10f + 0x00a52830277958ee84d1315ed31886 + , curveEccN = 0x0100000000000000d9ccec8a39e56f + , curveEccH = 2 + } typeSEC_t113r2 = CurveBinary $ CurveBinaryParam 0x020000000000000000000000000201 -paramSEC_t113r2 = CurveParameters - { curveEccA = 0x00689918dbec7e5a0dd6dfc0aa55c7 - , curveEccB = 0x0095e9a9ec9b297bd4bf36e059184f - , curveEccG = Point 0x01a57a6a7b26ca5ef52fcdb8164797 - 0x00b3adc94ed1fe674c06e695baba1d - , curveEccN = 0x010000000000000108789b2496af93 - , curveEccH = 2 - } +paramSEC_t113r2 = + CurveParameters + { curveEccA = 0x00689918dbec7e5a0dd6dfc0aa55c7 + , curveEccB = 0x0095e9a9ec9b297bd4bf36e059184f + , curveEccG = + Point + 0x01a57a6a7b26ca5ef52fcdb8164797 + 0x00b3adc94ed1fe674c06e695baba1d + , curveEccN = 0x010000000000000108789b2496af93 + , curveEccH = 2 + } typeSEC_t131r1 = CurveBinary $ CurveBinaryParam 0x080000000000000000000000000000010d -paramSEC_t131r1 = CurveParameters - { curveEccA = 0x07a11b09a76b562144418ff3ff8c2570b8 - , curveEccB = 0x0217c05610884b63b9c6c7291678f9d341 - , curveEccG = Point 0x0081baf91fdf9833c40f9c181343638399 - 0x078c6e7ea38c001f73c8134b1b4ef9e150 - , curveEccN = 0x0400000000000000023123953a9464b54d - , curveEccH = 2 - } +paramSEC_t131r1 = + CurveParameters + { curveEccA = 0x07a11b09a76b562144418ff3ff8c2570b8 + , curveEccB = 0x0217c05610884b63b9c6c7291678f9d341 + , curveEccG = + Point + 0x0081baf91fdf9833c40f9c181343638399 + 0x078c6e7ea38c001f73c8134b1b4ef9e150 + , curveEccN = 0x0400000000000000023123953a9464b54d + , curveEccH = 2 + } typeSEC_t131r2 = CurveBinary $ CurveBinaryParam 0x080000000000000000000000000000010d -paramSEC_t131r2 = CurveParameters - { curveEccA = 0x03e5a88919d7cafcbf415f07c2176573b2 - , curveEccB = 0x04b8266a46c55657ac734ce38f018f2192 - , curveEccG = Point 0x0356dcd8f2f95031ad652d23951bb366a8 - 0x0648f06d867940a5366d9e265de9eb240f - , curveEccN = 0x0400000000000000016954a233049ba98f - , curveEccH = 2 - } +paramSEC_t131r2 = + CurveParameters + { curveEccA = 0x03e5a88919d7cafcbf415f07c2176573b2 + , curveEccB = 0x04b8266a46c55657ac734ce38f018f2192 + , curveEccG = + Point + 0x0356dcd8f2f95031ad652d23951bb366a8 + 0x0648f06d867940a5366d9e265de9eb240f + , curveEccN = 0x0400000000000000016954a233049ba98f + , curveEccH = 2 + } typeSEC_t163k1 = CurveBinary $ CurveBinaryParam 0x0800000000000000000000000000000000000000c9 -paramSEC_t163k1 = CurveParameters - { curveEccA = 0x000000000000000000000000000000000000000001 - , curveEccB = 0x000000000000000000000000000000000000000001 - , curveEccG = Point 0x02fe13c0537bbc11acaa07d793de4e6d5e5c94eee8 - 0x0289070fb05d38ff58321f2e800536d538ccdaa3d9 - , curveEccN = 0x04000000000000000000020108a2e0cc0d99f8a5ef - , curveEccH = 2 - } +paramSEC_t163k1 = + CurveParameters + { curveEccA = 0x000000000000000000000000000000000000000001 + , curveEccB = 0x000000000000000000000000000000000000000001 + , curveEccG = + Point + 0x02fe13c0537bbc11acaa07d793de4e6d5e5c94eee8 + 0x0289070fb05d38ff58321f2e800536d538ccdaa3d9 + , curveEccN = 0x04000000000000000000020108a2e0cc0d99f8a5ef + , curveEccH = 2 + } typeSEC_t163r1 = CurveBinary $ CurveBinaryParam 0x0800000000000000000000000000000000000000c9 -paramSEC_t163r1 = CurveParameters - { curveEccA = 0x07b6882caaefa84f9554ff8428bd88e246d2782ae2 - , curveEccB = 0x0713612dcddcb40aab946bda29ca91f73af958afd9 - , curveEccG = Point 0x0369979697ab43897789566789567f787a7876a654 - 0x00435edb42efafb2989d51fefce3c80988f41ff883 - , curveEccN = 0x03ffffffffffffffffffff48aab689c29ca710279b - , curveEccH = 2 - } +paramSEC_t163r1 = + CurveParameters + { curveEccA = 0x07b6882caaefa84f9554ff8428bd88e246d2782ae2 + , curveEccB = 0x0713612dcddcb40aab946bda29ca91f73af958afd9 + , curveEccG = + Point + 0x0369979697ab43897789566789567f787a7876a654 + 0x00435edb42efafb2989d51fefce3c80988f41ff883 + , curveEccN = 0x03ffffffffffffffffffff48aab689c29ca710279b + , curveEccH = 2 + } typeSEC_t163r2 = CurveBinary $ CurveBinaryParam 0x0800000000000000000000000000000000000000c9 -paramSEC_t163r2 = CurveParameters - { curveEccA = 0x000000000000000000000000000000000000000001 - , curveEccB = 0x020a601907b8c953ca1481eb10512f78744a3205fd - , curveEccG = Point 0x03f0eba16286a2d57ea0991168d4994637e8343e36 - 0x00d51fbc6c71a0094fa2cdd545b11c5c0c797324f1 - , curveEccN = 0x040000000000000000000292fe77e70c12a4234c33 - , curveEccH = 2 - } -typeSEC_t193r1 = CurveBinary $ CurveBinaryParam 0x02000000000000000000000000000000000000000000008001 -paramSEC_t193r1 = CurveParameters - { curveEccA = 0x0017858feb7a98975169e171f77b4087de098ac8a911df7b01 - , curveEccB = 0x00fdfb49bfe6c3a89facadaa7a1e5bbc7cc1c2e5d831478814 - , curveEccG = Point 0x01f481bc5f0ff84a74ad6cdf6fdef4bf6179625372d8c0c5e1 - 0x0025e399f2903712ccf3ea9e3a1ad17fb0b3201b6af7ce1b05 - , curveEccN = 0x01000000000000000000000000c7f34a778f443acc920eba49 - , curveEccH = 2 - } -typeSEC_t193r2 = CurveBinary $ CurveBinaryParam 0x02000000000000000000000000000000000000000000008001 -paramSEC_t193r2 = CurveParameters - { curveEccA = 0x0163f35a5137c2ce3ea6ed8667190b0bc43ecd69977702709b - , curveEccB = 0x00c9bb9e8927d4d64c377e2ab2856a5b16e3efb7f61d4316ae - , curveEccG = Point 0x00d9b67d192e0367c803f39e1a7e82ca14a651350aae617e8f - 0x01ce94335607c304ac29e7defbd9ca01f596f927224cdecf6c - , curveEccN = 0x010000000000000000000000015aab561b005413ccd4ee99d5 - , curveEccH = 2 - } -typeSEC_t233k1 = CurveBinary $ CurveBinaryParam 0x020000000000000000000000000000000000000004000000000000000001 -paramSEC_t233k1 = CurveParameters - { curveEccA = 0x000000000000000000000000000000000000000000000000000000000000 - , curveEccB = 0x000000000000000000000000000000000000000000000000000000000001 - , curveEccG = Point 0x017232ba853a7e731af129f22ff4149563a419c26bf50a4c9d6eefad6126 - 0x01db537dece819b7f70f555a67c427a8cd9bf18aeb9b56e0c11056fae6a3 - , curveEccN = 0x008000000000000000000000000000069d5bb915bcd46efb1ad5f173abdf - , curveEccH = 4 - } -typeSEC_t233r1 = CurveBinary $ CurveBinaryParam 0x020000000000000000000000000000000000000004000000000000000001 -paramSEC_t233r1 = CurveParameters - { curveEccA = 0x000000000000000000000000000000000000000000000000000000000001 - , curveEccB = 0x0066647ede6c332c7f8c0923bb58213b333b20e9ce4281fe115f7d8f90ad - , curveEccG = Point 0x00fac9dfcbac8313bb2139f1bb755fef65bc391f8b36f8f8eb7371fd558b - 0x01006a08a41903350678e58528bebf8a0beff867a7ca36716f7e01f81052 - , curveEccN = 0x01000000000000000000000000000013e974e72f8a6922031d2603cfe0d7 - , curveEccH = 2 - } -typeSEC_t239k1 = CurveBinary $ CurveBinaryParam 0x800000000000000000004000000000000000000000000000000000000001 -paramSEC_t239k1 = CurveParameters - { curveEccA = 0x000000000000000000000000000000000000000000000000000000000000 - , curveEccB = 0x000000000000000000000000000000000000000000000000000000000001 - , curveEccG = Point 0x29a0b6a887a983e9730988a68727a8b2d126c44cc2cc7b2a6555193035dc - 0x76310804f12e549bdb011c103089e73510acb275fc312a5dc6b76553f0ca - , curveEccN = 0x2000000000000000000000000000005a79fec67cb6e91f1c1da800e478a5 - , curveEccH = 4 - } -typeSEC_t283k1 = CurveBinary $ CurveBinaryParam 0x0800000000000000000000000000000000000000000000000000000000000000000010a1 -paramSEC_t283k1 = CurveParameters - { curveEccA = 0x000000000000000000000000000000000000000000000000000000000000000000000000 - , curveEccB = 0x000000000000000000000000000000000000000000000000000000000000000000000001 - , curveEccG = Point 0x0503213f78ca44883f1a3b8162f188e553cd265f23c1567a16876913b0c2ac2458492836 - 0x01ccda380f1c9e318d90f95d07e5426fe87e45c0e8184698e45962364e34116177dd2259 - , curveEccN = 0x01ffffffffffffffffffffffffffffffffffe9ae2ed07577265dff7f94451e061e163c61 - , curveEccH = 4 - } -typeSEC_t283r1 = CurveBinary $ CurveBinaryParam 0x0800000000000000000000000000000000000000000000000000000000000000000010a1 -paramSEC_t283r1 = CurveParameters - { curveEccA = 0x000000000000000000000000000000000000000000000000000000000000000000000001 - , curveEccB = 0x027b680ac8b8596da5a4af8a19a0303fca97fd7645309fa2a581485af6263e313b79a2f5 - , curveEccG = Point 0x05f939258db7dd90e1934f8c70b0dfec2eed25b8557eac9c80e2e198f8cdbecd86b12053 - 0x03676854fe24141cb98fe6d4b20d02b4516ff702350eddb0826779c813f0df45be8112f4 - , curveEccN = 0x03ffffffffffffffffffffffffffffffffffef90399660fc938a90165b042a7cefadb307 - , curveEccH = 2 - } -typeSEC_t409k1 = CurveBinary $ CurveBinaryParam 0x02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001 -paramSEC_t409k1 = CurveParameters - { curveEccA = 0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 - , curveEccB = 0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 - , curveEccG = Point 0x0060f05f658f49c1ad3ab1890f7184210efd0987e307c84c27accfb8f9f67cc2c460189eb5aaaa62ee222eb1b35540cfe9023746 - 0x01e369050b7c4e42acba1dacbf04299c3460782f918ea427e6325165e9ea10e3da5f6c42e9c55215aa9ca27a5863ec48d8e0286b - , curveEccN = 0x007ffffffffffffffffffffffffffffffffffffffffffffffffffe5f83b2d4ea20400ec4557d5ed3e3e7ca5b4b5c83b8e01e5fcf - , curveEccH = 4 - } -typeSEC_t409r1 = CurveBinary $ CurveBinaryParam 0x02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001 -paramSEC_t409r1 = CurveParameters - { curveEccA = 0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 - , curveEccB = 0x0021a5c2c8ee9feb5c4b9a753b7b476b7fd6422ef1f3dd674761fa99d6ac27c8a9a197b272822f6cd57a55aa4f50ae317b13545f - , curveEccG = Point 0x015d4860d088ddb3496b0c6064756260441cde4af1771d4db01ffe5b34e59703dc255a868a1180515603aeab60794e54bb7996a7 - 0x0061b1cfab6be5f32bbfa78324ed106a7636b9c5a7bd198d0158aa4f5488d08f38514f1fdf4b4f40d2181b3681c364ba0273c706 - , curveEccN = 0x010000000000000000000000000000000000000000000000000001e2aad6a612f33307be5fa47c3c9e052f838164cd37d9a21173 - , curveEccH = 2 - } -typeSEC_t571k1 = CurveBinary $ CurveBinaryParam 0x080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425 -paramSEC_t571k1 = CurveParameters - { curveEccA = 0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 - , curveEccB = 0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 - , curveEccG = Point 0x026eb7a859923fbc82189631f8103fe4ac9ca2970012d5d46024804801841ca44370958493b205e647da304db4ceb08cbbd1ba39494776fb988b47174dca88c7e2945283a01c8972 - 0x0349dc807f4fbf374f4aeade3bca95314dd58cec9f307a54ffc61efc006d8a2c9d4979c0ac44aea74fbebbb9f772aedcb620b01a7ba7af1b320430c8591984f601cd4c143ef1c7a3 - , curveEccN = 0x020000000000000000000000000000000000000000000000000000000000000000000000131850e1f19a63e4b391a8db917f4138b630d84be5d639381e91deb45cfe778f637c1001 - , curveEccH = 4 - } -typeSEC_t571r1 = CurveBinary $ CurveBinaryParam 0x080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425 -paramSEC_t571r1 = CurveParameters - { curveEccA = 0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 - , curveEccB = 0x02f40e7e2221f295de297117b7f3d62f5c6a97ffcb8ceff1cd6ba8ce4a9a18ad84ffabbd8efa59332be7ad6756a66e294afd185a78ff12aa520e4de739baca0c7ffeff7f2955727a - , curveEccG = Point 0x0303001d34b856296c16c0d40d3cd7750a93d1d2955fa80aa5f40fc8db7b2abdbde53950f4c0d293cdd711a35b67fb1499ae60038614f1394abfa3b4c850d927e1e7769c8eec2d19 - 0x037bf27342da639b6dccfffeb73d69d78c6c27a6009cbbca1980f8533921e8a684423e43bab08a576291af8f461bb2a8b3531d2f0485c19b16e2f1516e23dd3c1a4827af1b8ac15b - , curveEccN = 0x03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe661ce18ff55987308059b186823851ec7dd9ca1161de93d5174d66e8382e9bb2fe84e47 - , curveEccH = 2 - } +paramSEC_t163r2 = + CurveParameters + { curveEccA = 0x000000000000000000000000000000000000000001 + , curveEccB = 0x020a601907b8c953ca1481eb10512f78744a3205fd + , curveEccG = + Point + 0x03f0eba16286a2d57ea0991168d4994637e8343e36 + 0x00d51fbc6c71a0094fa2cdd545b11c5c0c797324f1 + , curveEccN = 0x040000000000000000000292fe77e70c12a4234c33 + , curveEccH = 2 + } +typeSEC_t193r1 = + CurveBinary $ + CurveBinaryParam 0x02000000000000000000000000000000000000000000008001 +paramSEC_t193r1 = + CurveParameters + { curveEccA = 0x0017858feb7a98975169e171f77b4087de098ac8a911df7b01 + , curveEccB = 0x00fdfb49bfe6c3a89facadaa7a1e5bbc7cc1c2e5d831478814 + , curveEccG = + Point + 0x01f481bc5f0ff84a74ad6cdf6fdef4bf6179625372d8c0c5e1 + 0x0025e399f2903712ccf3ea9e3a1ad17fb0b3201b6af7ce1b05 + , curveEccN = 0x01000000000000000000000000c7f34a778f443acc920eba49 + , curveEccH = 2 + } +typeSEC_t193r2 = + CurveBinary $ + CurveBinaryParam 0x02000000000000000000000000000000000000000000008001 +paramSEC_t193r2 = + CurveParameters + { curveEccA = 0x0163f35a5137c2ce3ea6ed8667190b0bc43ecd69977702709b + , curveEccB = 0x00c9bb9e8927d4d64c377e2ab2856a5b16e3efb7f61d4316ae + , curveEccG = + Point + 0x00d9b67d192e0367c803f39e1a7e82ca14a651350aae617e8f + 0x01ce94335607c304ac29e7defbd9ca01f596f927224cdecf6c + , curveEccN = 0x010000000000000000000000015aab561b005413ccd4ee99d5 + , curveEccH = 2 + } +typeSEC_t233k1 = + CurveBinary $ + CurveBinaryParam 0x020000000000000000000000000000000000000004000000000000000001 +paramSEC_t233k1 = + CurveParameters + { curveEccA = 0x000000000000000000000000000000000000000000000000000000000000 + , curveEccB = 0x000000000000000000000000000000000000000000000000000000000001 + , curveEccG = + Point + 0x017232ba853a7e731af129f22ff4149563a419c26bf50a4c9d6eefad6126 + 0x01db537dece819b7f70f555a67c427a8cd9bf18aeb9b56e0c11056fae6a3 + , curveEccN = 0x008000000000000000000000000000069d5bb915bcd46efb1ad5f173abdf + , curveEccH = 4 + } +typeSEC_t233r1 = + CurveBinary $ + CurveBinaryParam 0x020000000000000000000000000000000000000004000000000000000001 +paramSEC_t233r1 = + CurveParameters + { curveEccA = 0x000000000000000000000000000000000000000000000000000000000001 + , curveEccB = 0x0066647ede6c332c7f8c0923bb58213b333b20e9ce4281fe115f7d8f90ad + , curveEccG = + Point + 0x00fac9dfcbac8313bb2139f1bb755fef65bc391f8b36f8f8eb7371fd558b + 0x01006a08a41903350678e58528bebf8a0beff867a7ca36716f7e01f81052 + , curveEccN = 0x01000000000000000000000000000013e974e72f8a6922031d2603cfe0d7 + , curveEccH = 2 + } +typeSEC_t239k1 = + CurveBinary $ + CurveBinaryParam 0x800000000000000000004000000000000000000000000000000000000001 +paramSEC_t239k1 = + CurveParameters + { curveEccA = 0x000000000000000000000000000000000000000000000000000000000000 + , curveEccB = 0x000000000000000000000000000000000000000000000000000000000001 + , curveEccG = + Point + 0x29a0b6a887a983e9730988a68727a8b2d126c44cc2cc7b2a6555193035dc + 0x76310804f12e549bdb011c103089e73510acb275fc312a5dc6b76553f0ca + , curveEccN = 0x2000000000000000000000000000005a79fec67cb6e91f1c1da800e478a5 + , curveEccH = 4 + } +typeSEC_t283k1 = + CurveBinary $ + CurveBinaryParam + 0x0800000000000000000000000000000000000000000000000000000000000000000010a1 +paramSEC_t283k1 = + CurveParameters + { curveEccA = + 0x000000000000000000000000000000000000000000000000000000000000000000000000 + , curveEccB = + 0x000000000000000000000000000000000000000000000000000000000000000000000001 + , curveEccG = + Point + 0x0503213f78ca44883f1a3b8162f188e553cd265f23c1567a16876913b0c2ac2458492836 + 0x01ccda380f1c9e318d90f95d07e5426fe87e45c0e8184698e45962364e34116177dd2259 + , curveEccN = + 0x01ffffffffffffffffffffffffffffffffffe9ae2ed07577265dff7f94451e061e163c61 + , curveEccH = 4 + } +typeSEC_t283r1 = + CurveBinary $ + CurveBinaryParam + 0x0800000000000000000000000000000000000000000000000000000000000000000010a1 +paramSEC_t283r1 = + CurveParameters + { curveEccA = + 0x000000000000000000000000000000000000000000000000000000000000000000000001 + , curveEccB = + 0x027b680ac8b8596da5a4af8a19a0303fca97fd7645309fa2a581485af6263e313b79a2f5 + , curveEccG = + Point + 0x05f939258db7dd90e1934f8c70b0dfec2eed25b8557eac9c80e2e198f8cdbecd86b12053 + 0x03676854fe24141cb98fe6d4b20d02b4516ff702350eddb0826779c813f0df45be8112f4 + , curveEccN = + 0x03ffffffffffffffffffffffffffffffffffef90399660fc938a90165b042a7cefadb307 + , curveEccH = 2 + } +typeSEC_t409k1 = + CurveBinary $ + CurveBinaryParam + 0x02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001 +paramSEC_t409k1 = + CurveParameters + { curveEccA = + 0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 + , curveEccB = + 0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 + , curveEccG = + Point + 0x0060f05f658f49c1ad3ab1890f7184210efd0987e307c84c27accfb8f9f67cc2c460189eb5aaaa62ee222eb1b35540cfe9023746 + 0x01e369050b7c4e42acba1dacbf04299c3460782f918ea427e6325165e9ea10e3da5f6c42e9c55215aa9ca27a5863ec48d8e0286b + , curveEccN = + 0x007ffffffffffffffffffffffffffffffffffffffffffffffffffe5f83b2d4ea20400ec4557d5ed3e3e7ca5b4b5c83b8e01e5fcf + , curveEccH = 4 + } +typeSEC_t409r1 = + CurveBinary $ + CurveBinaryParam + 0x02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001 +paramSEC_t409r1 = + CurveParameters + { curveEccA = + 0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 + , curveEccB = + 0x0021a5c2c8ee9feb5c4b9a753b7b476b7fd6422ef1f3dd674761fa99d6ac27c8a9a197b272822f6cd57a55aa4f50ae317b13545f + , curveEccG = + Point + 0x015d4860d088ddb3496b0c6064756260441cde4af1771d4db01ffe5b34e59703dc255a868a1180515603aeab60794e54bb7996a7 + 0x0061b1cfab6be5f32bbfa78324ed106a7636b9c5a7bd198d0158aa4f5488d08f38514f1fdf4b4f40d2181b3681c364ba0273c706 + , curveEccN = + 0x010000000000000000000000000000000000000000000000000001e2aad6a612f33307be5fa47c3c9e052f838164cd37d9a21173 + , curveEccH = 2 + } +typeSEC_t571k1 = + CurveBinary $ + CurveBinaryParam + 0x080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425 +paramSEC_t571k1 = + CurveParameters + { curveEccA = + 0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 + , curveEccB = + 0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 + , curveEccG = + Point + 0x026eb7a859923fbc82189631f8103fe4ac9ca2970012d5d46024804801841ca44370958493b205e647da304db4ceb08cbbd1ba39494776fb988b47174dca88c7e2945283a01c8972 + 0x0349dc807f4fbf374f4aeade3bca95314dd58cec9f307a54ffc61efc006d8a2c9d4979c0ac44aea74fbebbb9f772aedcb620b01a7ba7af1b320430c8591984f601cd4c143ef1c7a3 + , curveEccN = + 0x020000000000000000000000000000000000000000000000000000000000000000000000131850e1f19a63e4b391a8db917f4138b630d84be5d639381e91deb45cfe778f637c1001 + , curveEccH = 4 + } +typeSEC_t571r1 = + CurveBinary $ + CurveBinaryParam + 0x080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425 +paramSEC_t571r1 = + CurveParameters + { curveEccA = + 0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 + , curveEccB = + 0x02f40e7e2221f295de297117b7f3d62f5c6a97ffcb8ceff1cd6ba8ce4a9a18ad84ffabbd8efa59332be7ad6756a66e294afd185a78ff12aa520e4de739baca0c7ffeff7f2955727a + , curveEccG = + Point + 0x0303001d34b856296c16c0d40d3cd7750a93d1d2955fa80aa5f40fc8db7b2abdbde53950f4c0d293cdd711a35b67fb1499ae60038614f1394abfa3b4c850d927e1e7769c8eec2d19 + 0x037bf27342da639b6dccfffeb73d69d78c6c27a6009cbbca1980f8533921e8a684423e43bab08a576291af8f461bb2a8b3531d2f0485c19b16e2f1516e23dd3c1a4827af1b8ac15b + , curveEccN = + 0x03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe661ce18ff55987308059b186823851ec7dd9ca1161de93d5174d66e8382e9bb2fe84e47 + , curveEccH = 2 + } diff --git a/Crypto/Error.hs b/Crypto/Error.hs --- a/Crypto/Error.hs +++ b/Crypto/Error.hs @@ -4,9 +4,8 @@ -- Maintainer : Vincent Hanquez -- Stability : Stable -- Portability : Excellent --- -module Crypto.Error - ( module Crypto.Error.Types - ) where +module Crypto.Error ( + module Crypto.Error.Types, +) where import Crypto.Error.Types diff --git a/Crypto/Error/Types.hs b/Crypto/Error/Types.hs --- a/Crypto/Error/Types.hs +++ b/Crypto/Error/Types.hs @@ -1,3 +1,6 @@ +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Error.Types -- License : BSD-style @@ -6,53 +9,55 @@ -- Portability : Good -- -- Cryptographic Error enumeration and handling --- -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Error.Types - ( CryptoError(..) - , CryptoFailable(..) - , throwCryptoErrorIO - , throwCryptoError - , onCryptoFailure - , eitherCryptoError - , maybeCryptoError - ) where +module Crypto.Error.Types ( + CryptoError (..), + CryptoFailable (..), + throwCryptoErrorIO, + throwCryptoError, + onCryptoFailure, + eitherCryptoError, + maybeCryptoError, +) where import qualified Control.Exception as E -import Data.Data - -import Basement.Monad (MonadFailure(..)) +import Data.Data -- | Enumeration of all possible errors that can be found in this library -data CryptoError = - -- symmetric cipher errors +data CryptoError + = -- symmetric cipher errors CryptoError_KeySizeInvalid | CryptoError_IvSizeInvalid | CryptoError_SeedSizeInvalid | CryptoError_AEADModeNotSupported - -- public key cryptography error - | CryptoError_SecretKeySizeInvalid + | -- public key cryptography error + CryptoError_SecretKeySizeInvalid | CryptoError_SecretKeyStructureInvalid | CryptoError_PublicKeySizeInvalid | CryptoError_SharedSecretSizeInvalid - -- elliptic cryptography error - | CryptoError_EcScalarOutOfBounds + | -- elliptic cryptography error + CryptoError_EcScalarOutOfBounds | CryptoError_PointSizeInvalid | CryptoError_PointFormatInvalid | CryptoError_PointFormatUnsupported | CryptoError_PointCoordinatesInvalid | CryptoError_ScalarMultiplicationInvalid - -- Message authentification error - | CryptoError_MacKeyInvalid + | -- Message authentification error + CryptoError_MacKeyInvalid | CryptoError_AuthenticationTagSizeInvalid - -- Prime generation error - | CryptoError_PrimeSizeInvalid - -- Parameter errors - | CryptoError_SaltTooSmall + | -- Prime generation error + CryptoError_PrimeSizeInvalid + | -- Parameter errors + CryptoError_SaltTooSmall | CryptoError_OutputLengthTooSmall | CryptoError_OutputLengthTooBig - deriving (Show,Eq,Enum,Data) + | -- | A parameter is outside the range the algorithm accepts. Appended to + -- keep the 'Enum' values of the constructors above unchanged. + CryptoError_ParameterInvalid + | -- | A point satisfies the curve equation but lies outside the subgroup + -- the base point generates, so multiplying it would answer modulo a + -- small order. Appended for the same reason as the constructor above. + CryptoError_PointSubgroupInvalid + deriving (Show, Eq, Enum, Data) instance E.Exception CryptoError @@ -63,23 +68,22 @@ -- * 'CryptoPassed' : The computation succeeded, and contains the result of the computation -- -- * 'CryptoFailed' : The computation failed, and contains the cryptographic error associated --- -data CryptoFailable a = - CryptoPassed a +data CryptoFailable a + = CryptoPassed a | CryptoFailed CryptoError deriving (Show) instance Eq a => Eq (CryptoFailable a) where - (==) (CryptoPassed a) (CryptoPassed b) = a == b + (==) (CryptoPassed a) (CryptoPassed b) = a == b (==) (CryptoFailed e1) (CryptoFailed e2) = e1 == e2 - (==) _ _ = False + (==) _ _ = False instance Functor CryptoFailable where fmap f (CryptoPassed a) = CryptoPassed (f a) fmap _ (CryptoFailed r) = CryptoFailed r instance Applicative CryptoFailable where - pure a = CryptoPassed a + pure a = CryptoPassed a (<*>) fm m = fm >>= \p -> m >>= \r2 -> return (p r2) instance Monad CryptoFailable where return = pure @@ -88,10 +92,6 @@ CryptoPassed a -> m2 a CryptoFailed e -> CryptoFailed e -instance MonadFailure CryptoFailable where - type Failure CryptoFailable = CryptoError - mFail = CryptoFailed - -- | Throw an CryptoError as exception on CryptoFailed result, -- otherwise return the computed value throwCryptoErrorIO :: CryptoFailable a -> IO a @@ -105,8 +105,8 @@ -- | Simple 'either' like combinator for CryptoFailable type onCryptoFailure :: (CryptoError -> r) -> (a -> r) -> CryptoFailable a -> r -onCryptoFailure onError _ (CryptoFailed e) = onError e -onCryptoFailure _ onSuccess (CryptoPassed r) = onSuccess r +onCryptoFailure onError _ (CryptoFailed e) = onError e +onCryptoFailure _ onSuccess (CryptoPassed r) = onSuccess r -- | Transform a CryptoFailable to an Either eitherCryptoError :: CryptoFailable a -> Either CryptoError a diff --git a/Crypto/Hash.hs b/Crypto/Hash.hs --- a/Crypto/Hash.hs +++ b/Crypto/Hash.hs @@ -1,3 +1,6 @@ +{-# LANGUAGE BangPatterns #-} +{-# LANGUAGE ScopedTypeVariables #-} + -- | -- Module : Crypto.Hash -- License : BSD-style @@ -15,54 +18,51 @@ -- > -- > hexSha3_512 :: ByteString -> String -- > hexSha3_512 bs = show (hash bs :: Digest SHA3_512) --- -{-# LANGUAGE ScopedTypeVariables #-} -{-# LANGUAGE BangPatterns #-} -module Crypto.Hash - ( +module Crypto.Hash ( -- * Types - Context - , Digest + Context, + Digest, + -- * Functions - , digestFromByteString + digestFromByteString, + -- * Hash methods parametrized by algorithm - , hashInitWith - , hashWith - , hashPrefixWith + hashInitWith, + hashWith, + hashPrefixWith, + -- * Hash methods - , hashInit - , hashUpdates - , hashUpdate - , hashFinalize - , hashFinalizePrefix - , hashBlockSize - , hashDigestSize - , hash - , hashPrefix - , hashlazy + hashInit, + hashUpdates, + hashUpdate, + hashFinalize, + hashFinalizePrefix, + hashBlockSize, + hashDigestSize, + hash, + hashPrefix, + hashlazy, + -- * Hash algorithms - , module Crypto.Hash.Algorithms - ) where + module Crypto.Hash.Algorithms, +) where -import Basement.Types.OffsetSize (CountOf (..)) -import Basement.Block (Block, unsafeFreeze) -import Basement.Block.Mutable (copyFromPtr, new) -import Crypto.Internal.Compat (unsafeDoIO) -import Crypto.Hash.Types -import Crypto.Hash.Algorithms -import Foreign.Ptr (Ptr, plusPtr) -import Crypto.Internal.ByteArray (ByteArrayAccess) +import Crypto.Hash.Algorithms +import Crypto.Hash.Types +import Crypto.Internal.ByteArray (ByteArrayAccess, allocAndFreezePrim) import qualified Crypto.Internal.ByteArray as B import qualified Data.ByteString.Lazy as L -import Data.Word (Word8) -import Data.Int (Int32) +import Data.Int (Int32) +import qualified Foreign.Marshal.Utils as FMU +import Foreign.Ptr (Ptr, castPtr, plusPtr) -- | Hash a strict bytestring into a digest. hash :: (ByteArrayAccess ba, HashAlgorithm a) => ba -> Digest a hash bs = hashFinalize $ hashUpdate hashInit bs -- | Hash the first N bytes of a bytestring, with code path independent from N. -hashPrefix :: (ByteArrayAccess ba, HashAlgorithmPrefix a) => ba -> Int -> Digest a +hashPrefix + :: (ByteArrayAccess ba, HashAlgorithmPrefix a) => ba -> Int -> Digest a hashPrefix = hashFinalizePrefix hashInit -- | Hash a lazy bytestring into a digest. @@ -70,24 +70,27 @@ hashlazy lbs = hashFinalize $ hashUpdates hashInit (L.toChunks lbs) -- | Initialize a new context for this hash algorithm -hashInit :: forall a . HashAlgorithm a => Context a +hashInit :: forall a. HashAlgorithm a => Context a hashInit = Context $ B.allocAndFreeze (hashInternalContextSize (undefined :: a)) $ \(ptr :: Ptr (Context a)) -> hashInternalInit ptr -- | run hashUpdates on one single bytestring and return the updated context. -hashUpdate :: (ByteArrayAccess ba, HashAlgorithm a) => Context a -> ba -> Context a +hashUpdate + :: (ByteArrayAccess ba, HashAlgorithm a) => Context a -> ba -> Context a hashUpdate ctx b - | B.null b = ctx + | B.null b = ctx | otherwise = hashUpdates ctx [b] -- | Update the context with a list of strict bytestring, -- and return a new context with the updates. -hashUpdates :: forall a ba . (HashAlgorithm a, ByteArrayAccess ba) - => Context a - -> [ba] - -> Context a +hashUpdates + :: forall a ba + . (HashAlgorithm a, ByteArrayAccess ba) + => Context a + -> [ba] + -> Context a hashUpdates c l - | null ls = c + | null ls = c | otherwise = Context $ B.copyAndFreeze c $ \(ctx :: Ptr (Context a)) -> mapM_ (\b -> B.withByteArray b (processBlocks ctx (B.length b))) ls where @@ -97,18 +100,24 @@ | bytesLeft == 0 = return () | otherwise = do hashInternalUpdate ctx dataPtr (fromIntegral actuallyProcessed) - processBlocks ctx (bytesLeft - actuallyProcessed) (dataPtr `plusPtr` actuallyProcessed) - where - actuallyProcessed = min bytesLeft (fromIntegral (maxBound :: Int32)) + processBlocks + ctx + (bytesLeft - actuallyProcessed) + (dataPtr `plusPtr` actuallyProcessed) + where + actuallyProcessed = min bytesLeft (fromIntegral (maxBound :: Int32)) -- | Finalize a context and return a digest. -hashFinalize :: forall a . HashAlgorithm a - => Context a - -> Digest a -hashFinalize !c = - Digest $ B.allocAndFreeze (hashDigestSize (undefined :: a)) $ \(dig :: Ptr (Digest a)) -> do - ((!_) :: B.Bytes) <- B.copy c $ \(ctx :: Ptr (Context a)) -> hashInternalFinalize ctx dig - return () +hashFinalize + :: forall a + . HashAlgorithm a + => Context a + -> Digest a +hashFinalize !c = Digest $ + allocAndFreezePrim (hashDigestSize (undefined :: a)) $ + \(dig :: Ptr (Digest a)) -> do + ((!_) :: B.Bytes) <- B.copy c $ \(ctx :: Ptr (Context a)) -> hashInternalFinalize ctx dig + return () -- | Update the context with the first N bytes of a bytestring and return the -- digest. The code path is independent from N but much slower than a normal @@ -116,17 +125,25 @@ -- order to exclude a variable padding, without leaking the padding length. The -- begining of the message, never impacted by the padding, should preferably go -- through 'hashUpdate' for better performance. -hashFinalizePrefix :: forall a ba . (HashAlgorithmPrefix a, ByteArrayAccess ba) - => Context a - -> ba - -> Int - -> Digest a -hashFinalizePrefix !c b len = - Digest $ B.allocAndFreeze (hashDigestSize (undefined :: a)) $ \(dig :: Ptr (Digest a)) -> do - ((!_) :: B.Bytes) <- B.copy c $ \(ctx :: Ptr (Context a)) -> - B.withByteArray b $ \d -> - hashInternalFinalizePrefix ctx d (fromIntegral $ B.length b) (fromIntegral len) dig - return () +hashFinalizePrefix + :: forall a ba + . (HashAlgorithmPrefix a, ByteArrayAccess ba) + => Context a + -> ba + -> Int + -> Digest a +hashFinalizePrefix !c b len = Digest $ + allocAndFreezePrim (hashDigestSize (undefined :: a)) $ + \(dig :: Ptr (Digest a)) -> do + ((!_) :: B.Bytes) <- B.copy c $ \(ctx :: Ptr (Context a)) -> + B.withByteArray b $ \d -> + hashInternalFinalizePrefix + ctx + d + (fromIntegral $ B.length b) + (fromIntegral len) + dig + return () -- | Initialize a new context for a specified hash algorithm hashInitWith :: HashAlgorithm alg => alg -> Context alg @@ -137,25 +154,24 @@ hashWith _ = hash -- | Run the 'hashPrefix' function but takes an explicit hash algorithm parameter -hashPrefixWith :: (ByteArrayAccess ba, HashAlgorithmPrefix alg) => alg -> ba -> Int -> Digest alg +hashPrefixWith + :: (ByteArrayAccess ba, HashAlgorithmPrefix alg) => alg -> ba -> Int -> Digest alg hashPrefixWith _ = hashPrefix -- | Try to transform a bytearray into a Digest of specific algorithm. -- -- If the digest is not the right size for the algorithm specified, then -- Nothing is returned. -digestFromByteString :: forall a ba . (HashAlgorithm a, ByteArrayAccess ba) => ba -> Maybe (Digest a) +digestFromByteString + :: forall a ba. (HashAlgorithm a, ByteArrayAccess ba) => ba -> Maybe (Digest a) digestFromByteString = from undefined where - from :: a -> ba -> Maybe (Digest a) - from alg bs - | B.length bs == (hashDigestSize alg) = Just $ Digest $ unsafeDoIO $ copyBytes bs - | otherwise = Nothing + from :: a -> ba -> Maybe (Digest a) + from alg bs + | B.length bs == (hashDigestSize alg) = + Just $ Digest $ copyByteArray bs + | otherwise = Nothing - copyBytes :: ba -> IO (Block Word8) - copyBytes ba = do - muArray <- new count - B.withByteArray ba $ \ptr -> copyFromPtr ptr muArray 0 count - unsafeFreeze muArray - where - count = CountOf (B.length ba) + copyByteArray ba = allocAndFreezePrim (B.length ba) $ \dst -> + B.withByteArray ba $ \src -> + FMU.copyBytes dst (castPtr src) (B.length ba) diff --git a/Crypto/Hash/Algorithms.hs b/Crypto/Hash/Algorithms.hs --- a/Crypto/Hash/Algorithms.hs +++ b/Crypto/Hash/Algorithms.hs @@ -6,75 +6,79 @@ -- Portability : unknown -- -- Definitions of known hash algorithms --- -module Crypto.Hash.Algorithms - ( HashAlgorithm - , HashAlgorithmPrefix +module Crypto.Hash.Algorithms ( + HashAlgorithm, + HashAlgorithmPrefix, + -- * Hash algorithms - , Blake2s_160(..) - , Blake2s_224(..) - , Blake2s_256(..) - , Blake2sp_224(..) - , Blake2sp_256(..) - , Blake2b_160(..) - , Blake2b_224(..) - , Blake2b_256(..) - , Blake2b_384(..) - , Blake2b_512(..) - , Blake2bp_512(..) - , MD2(..) - , MD4(..) - , MD5(..) - , SHA1(..) - , SHA224(..) - , SHA256(..) - , SHA384(..) - , SHA512(..) - , SHA512t_224(..) - , SHA512t_256(..) - , RIPEMD160(..) - , Tiger(..) - , Keccak_224(..) - , Keccak_256(..) - , Keccak_384(..) - , Keccak_512(..) - , SHA3_224(..) - , SHA3_256(..) - , SHA3_384(..) - , SHA3_512(..) - , SHAKE128(..) - , SHAKE256(..) - , Blake2b(..), Blake2bp(..) - , Blake2s(..), Blake2sp(..) - , Skein256_224(..) - , Skein256_256(..) - , Skein512_224(..) - , Skein512_256(..) - , Skein512_384(..) - , Skein512_512(..) - , Whirlpool(..) - ) where + Blake2s_160 (..), + Blake2s_224 (..), + Blake2s_256 (..), + Blake2sp_224 (..), + Blake2sp_256 (..), + Blake2b_160 (..), + Blake2b_224 (..), + Blake2b_256 (..), + Blake2b_384 (..), + Blake2b_512 (..), + Blake2bp_512 (..), + MD2 (..), + MD4 (..), + MD5 (..), + SHA1 (..), + SHA224 (..), + SHA256 (..), + SHA384 (..), + SHA512 (..), + SHA512t_224 (..), + SHA512t_256 (..), + RIPEMD160 (..), + Tiger (..), + Keccak_224 (..), + Keccak_256 (..), + Keccak_384 (..), + Keccak_512 (..), + SHA3_224 (..), + SHA3_256 (..), + SHA3_384 (..), + SHA3_512 (..), + SHAKE128 (..), + SHAKE256 (..), + Blake2b (..), + Blake2bp (..), + Blake2s (..), + Blake2sp (..), + Skein256 (..), + Skein256_224 (..), + Skein256_256 (..), + Skein512 (..), + Skein512_224 (..), + Skein512_256 (..), + Skein512_384 (..), + Skein512_512 (..), + Whirlpool (..), +) where -import Crypto.Hash.Types (HashAlgorithm, HashAlgorithmPrefix) -import Crypto.Hash.Blake2s -import Crypto.Hash.Blake2sp -import Crypto.Hash.Blake2b -import Crypto.Hash.Blake2bp -import Crypto.Hash.MD2 -import Crypto.Hash.MD4 -import Crypto.Hash.MD5 -import Crypto.Hash.SHA1 -import Crypto.Hash.SHA224 -import Crypto.Hash.SHA256 -import Crypto.Hash.SHA384 -import Crypto.Hash.SHA512 -import Crypto.Hash.SHA512t -import Crypto.Hash.SHA3 -import Crypto.Hash.Keccak -import Crypto.Hash.RIPEMD160 -import Crypto.Hash.Tiger -import Crypto.Hash.Skein256 -import Crypto.Hash.Skein512 -import Crypto.Hash.Whirlpool -import Crypto.Hash.SHAKE -import Crypto.Hash.Blake2 +import Crypto.Hash.Blake2 +import Crypto.Hash.Blake2b +import Crypto.Hash.Blake2bp +import Crypto.Hash.Blake2s +import Crypto.Hash.Blake2sp +import Crypto.Hash.Keccak +import Crypto.Hash.MD2 +import Crypto.Hash.MD4 +import Crypto.Hash.MD5 +import Crypto.Hash.RIPEMD160 +import Crypto.Hash.SHA1 +import Crypto.Hash.SHA224 +import Crypto.Hash.SHA256 +import Crypto.Hash.SHA3 +import Crypto.Hash.SHA384 +import Crypto.Hash.SHA512 +import Crypto.Hash.SHA512t +import Crypto.Hash.SHAKE +import Crypto.Hash.Skein256 +import Crypto.Hash.Skein512 +import Crypto.Hash.Tiger +import Crypto.Hash.Types (HashAlgorithm, HashAlgorithmPrefix) +import Crypto.Hash.Whirlpool diff --git a/Crypto/Hash/Blake2.hs b/Crypto/Hash/Blake2.hs --- a/Crypto/Hash/Blake2.hs +++ b/Crypto/Hash/Blake2.hs @@ -1,3 +1,10 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE KindSignatures #-} +{-# LANGUAGE ScopedTypeVariables #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Hash.Blake2 -- License : BSD-style @@ -25,31 +32,23 @@ -- id-blake2s224 | 32-bit | 2**112 | 28 | -- id-blake2s256 | 32-bit | 2**128 | 32 | -- ---------------+--------+-----------+-------------+ --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE ScopedTypeVariables #-} -{-# LANGUAGE KindSignatures #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.Blake2 - ( HashBlake2(..) - , Blake2s(..) - , Blake2sp(..) - , Blake2b(..) - , Blake2bp(..) - ) where +module Crypto.Hash.Blake2 ( + HashBlake2 (..), + Blake2s (..), + Blake2sp (..), + Blake2b (..), + Blake2bp (..), +) where -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) -import GHC.TypeLits (Nat, KnownNat) -import Crypto.Internal.Nat +import Crypto.Hash.Types +import Crypto.Internal.Nat +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) +import GHC.TypeLits (KnownNat, Nat) -- | Typeclass for the Blake2 family of digest functions. class HashAlgorithm a => HashBlake2 a where - -- | Init Blake2 algorithm with the specified key of the specified length. -- The key length is specified in bytes. blake2InternalKeyedInit :: Ptr (Context a) -> Ptr Word8 -> Word32 -> IO () @@ -63,28 +62,38 @@ -- * Blake2s 160 -- * Blake2s 224 -- * Blake2s 256 --- data Blake2s (bitlen :: Nat) = Blake2s - deriving (Show,Data) + deriving (Show, Data) -instance (IsDivisibleBy8 bitlen, KnownNat bitlen, IsAtLeast bitlen 8, IsAtMost bitlen 256) - => HashAlgorithm (Blake2s bitlen) - where - type HashBlockSize (Blake2s bitlen) = 64 - type HashDigestSize (Blake2s bitlen) = Div8 bitlen +instance + ( IsDivisibleBy8 bitlen + , KnownNat bitlen + , IsAtLeast bitlen 8 + , IsAtMost bitlen 256 + ) + => HashAlgorithm (Blake2s bitlen) + where + type HashBlockSize (Blake2s bitlen) = 64 + type HashDigestSize (Blake2s bitlen) = Div8 bitlen type HashInternalContextSize (Blake2s bitlen) = 136 - hashBlockSize _ = 64 - hashDigestSize _ = byteLen (Proxy :: Proxy bitlen) + hashBlockSize _ = 64 + hashDigestSize _ = byteLen (Proxy :: Proxy bitlen) hashInternalContextSize _ = 136 - hashInternalInit p = c_blake2s_init p (integralNatVal (Proxy :: Proxy bitlen)) - hashInternalUpdate = c_blake2s_update - hashInternalFinalize p = c_blake2s_finalize p (integralNatVal (Proxy :: Proxy bitlen)) + hashInternalInit p = c_blake2s_init p (integralNatVal (Proxy :: Proxy bitlen)) + hashInternalUpdate = c_blake2s_update + hashInternalFinalize p = c_blake2s_finalize p (integralNatVal (Proxy :: Proxy bitlen)) -instance (IsDivisibleBy8 bitlen, KnownNat bitlen, IsAtLeast bitlen 8, IsAtMost bitlen 256) - => HashBlake2 (Blake2s bitlen) - where +instance + ( IsDivisibleBy8 bitlen + , KnownNat bitlen + , IsAtLeast bitlen 8 + , IsAtMost bitlen 256 + ) + => HashBlake2 (Blake2s bitlen) + where blake2InternalKeyedInit p = c_blake2s_init_key p outLen - where outLen = integralNatVal (Proxy :: Proxy bitlen) + where + outLen = integralNatVal (Proxy :: Proxy bitlen) foreign import ccall unsafe "crypton_blake2s_init" c_blake2s_init :: Ptr (Context a) -> Word32 -> IO () @@ -106,28 +115,38 @@ -- * Blake2b 256 -- * Blake2b 384 -- * Blake2b 512 --- data Blake2b (bitlen :: Nat) = Blake2b - deriving (Show,Data) + deriving (Show, Data) -instance (IsDivisibleBy8 bitlen, KnownNat bitlen, IsAtLeast bitlen 8, IsAtMost bitlen 512) - => HashAlgorithm (Blake2b bitlen) - where - type HashBlockSize (Blake2b bitlen) = 128 - type HashDigestSize (Blake2b bitlen) = Div8 bitlen +instance + ( IsDivisibleBy8 bitlen + , KnownNat bitlen + , IsAtLeast bitlen 8 + , IsAtMost bitlen 512 + ) + => HashAlgorithm (Blake2b bitlen) + where + type HashBlockSize (Blake2b bitlen) = 128 + type HashDigestSize (Blake2b bitlen) = Div8 bitlen type HashInternalContextSize (Blake2b bitlen) = 248 - hashBlockSize _ = 128 - hashDigestSize _ = byteLen (Proxy :: Proxy bitlen) + hashBlockSize _ = 128 + hashDigestSize _ = byteLen (Proxy :: Proxy bitlen) hashInternalContextSize _ = 248 - hashInternalInit p = c_blake2b_init p (integralNatVal (Proxy :: Proxy bitlen)) - hashInternalUpdate = c_blake2b_update - hashInternalFinalize p = c_blake2b_finalize p (integralNatVal (Proxy :: Proxy bitlen)) + hashInternalInit p = c_blake2b_init p (integralNatVal (Proxy :: Proxy bitlen)) + hashInternalUpdate = c_blake2b_update + hashInternalFinalize p = c_blake2b_finalize p (integralNatVal (Proxy :: Proxy bitlen)) -instance (IsDivisibleBy8 bitlen, KnownNat bitlen, IsAtLeast bitlen 8, IsAtMost bitlen 512) - => HashBlake2 (Blake2b bitlen) - where +instance + ( IsDivisibleBy8 bitlen + , KnownNat bitlen + , IsAtLeast bitlen 8 + , IsAtMost bitlen 512 + ) + => HashBlake2 (Blake2b bitlen) + where blake2InternalKeyedInit p = c_blake2b_init_key p outLen - where outLen = integralNatVal (Proxy :: Proxy bitlen) + where + outLen = integralNatVal (Proxy :: Proxy bitlen) foreign import ccall unsafe "crypton_blake2b_init" c_blake2b_init :: Ptr (Context a) -> Word32 -> IO () @@ -139,26 +158,37 @@ c_blake2b_finalize :: Ptr (Context a) -> Word32 -> Ptr (Digest a) -> IO () data Blake2sp (bitlen :: Nat) = Blake2sp - deriving (Show,Data) + deriving (Show, Data) -instance (IsDivisibleBy8 bitlen, KnownNat bitlen, IsAtLeast bitlen 8, IsAtMost bitlen 256) - => HashAlgorithm (Blake2sp bitlen) - where - type HashBlockSize (Blake2sp bitlen) = 64 - type HashDigestSize (Blake2sp bitlen) = Div8 bitlen +instance + ( IsDivisibleBy8 bitlen + , KnownNat bitlen + , IsAtLeast bitlen 8 + , IsAtMost bitlen 256 + ) + => HashAlgorithm (Blake2sp bitlen) + where + type HashBlockSize (Blake2sp bitlen) = 64 + type HashDigestSize (Blake2sp bitlen) = Div8 bitlen type HashInternalContextSize (Blake2sp bitlen) = 2185 - hashBlockSize _ = 64 - hashDigestSize _ = byteLen (Proxy :: Proxy bitlen) + hashBlockSize _ = 64 + hashDigestSize _ = byteLen (Proxy :: Proxy bitlen) hashInternalContextSize _ = 2185 - hashInternalInit p = c_blake2sp_init p (integralNatVal (Proxy :: Proxy bitlen)) - hashInternalUpdate = c_blake2sp_update - hashInternalFinalize p = c_blake2sp_finalize p (integralNatVal (Proxy :: Proxy bitlen)) + hashInternalInit p = c_blake2sp_init p (integralNatVal (Proxy :: Proxy bitlen)) + hashInternalUpdate = c_blake2sp_update + hashInternalFinalize p = c_blake2sp_finalize p (integralNatVal (Proxy :: Proxy bitlen)) -instance (IsDivisibleBy8 bitlen, KnownNat bitlen, IsAtLeast bitlen 8, IsAtMost bitlen 256) - => HashBlake2 (Blake2sp bitlen) - where +instance + ( IsDivisibleBy8 bitlen + , KnownNat bitlen + , IsAtLeast bitlen 8 + , IsAtMost bitlen 256 + ) + => HashBlake2 (Blake2sp bitlen) + where blake2InternalKeyedInit p = c_blake2sp_init_key p outLen - where outLen = integralNatVal (Proxy :: Proxy bitlen) + where + outLen = integralNatVal (Proxy :: Proxy bitlen) foreign import ccall unsafe "crypton_blake2sp_init" c_blake2sp_init :: Ptr (Context a) -> Word32 -> IO () @@ -170,26 +200,37 @@ c_blake2sp_finalize :: Ptr (Context a) -> Word32 -> Ptr (Digest a) -> IO () data Blake2bp (bitlen :: Nat) = Blake2bp - deriving (Show,Data) + deriving (Show, Data) -instance (IsDivisibleBy8 bitlen, KnownNat bitlen, IsAtLeast bitlen 8, IsAtMost bitlen 512) - => HashAlgorithm (Blake2bp bitlen) - where - type HashBlockSize (Blake2bp bitlen) = 128 - type HashDigestSize (Blake2bp bitlen) = Div8 bitlen +instance + ( IsDivisibleBy8 bitlen + , KnownNat bitlen + , IsAtLeast bitlen 8 + , IsAtMost bitlen 512 + ) + => HashAlgorithm (Blake2bp bitlen) + where + type HashBlockSize (Blake2bp bitlen) = 128 + type HashDigestSize (Blake2bp bitlen) = Div8 bitlen type HashInternalContextSize (Blake2bp bitlen) = 2325 - hashBlockSize _ = 128 - hashDigestSize _ = byteLen (Proxy :: Proxy bitlen) + hashBlockSize _ = 128 + hashDigestSize _ = byteLen (Proxy :: Proxy bitlen) hashInternalContextSize _ = 2325 - hashInternalInit p = c_blake2bp_init p (integralNatVal (Proxy :: Proxy bitlen)) - hashInternalUpdate = c_blake2bp_update - hashInternalFinalize p = c_blake2bp_finalize p (integralNatVal (Proxy :: Proxy bitlen)) + hashInternalInit p = c_blake2bp_init p (integralNatVal (Proxy :: Proxy bitlen)) + hashInternalUpdate = c_blake2bp_update + hashInternalFinalize p = c_blake2bp_finalize p (integralNatVal (Proxy :: Proxy bitlen)) -instance (IsDivisibleBy8 bitlen, KnownNat bitlen, IsAtLeast bitlen 8, IsAtMost bitlen 512) - => HashBlake2 (Blake2bp bitlen) - where +instance + ( IsDivisibleBy8 bitlen + , KnownNat bitlen + , IsAtLeast bitlen 8 + , IsAtMost bitlen 512 + ) + => HashBlake2 (Blake2bp bitlen) + where blake2InternalKeyedInit p = c_blake2bp_init_key p outLen - where outLen = integralNatVal (Proxy :: Proxy bitlen) + where + outLen = integralNatVal (Proxy :: Proxy bitlen) foreign import ccall unsafe "crypton_blake2bp_init" c_blake2bp_init :: Ptr (Context a) -> Word32 -> IO () diff --git a/Crypto/Hash/Blake2b.hs b/Crypto/Hash/Blake2b.hs --- a/Crypto/Hash/Blake2b.hs +++ b/Crypto/Hash/Blake2b.hs @@ -1,3 +1,8 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Hash.Blake2b -- License : BSD-style @@ -7,96 +12,93 @@ -- -- Module containing the binding functions to work with the -- Blake2b cryptographic hash. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.Blake2b - ( Blake2b_160 (..), Blake2b_224 (..), Blake2b_256 (..), Blake2b_384 (..), Blake2b_512 (..) - ) where - -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) +module Crypto.Hash.Blake2b ( + Blake2b_160 (..), + Blake2b_224 (..), + Blake2b_256 (..), + Blake2b_384 (..), + Blake2b_512 (..), +) where +import Crypto.Hash.Types +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) -- | Blake2b (160 bits) cryptographic hash algorithm data Blake2b_160 = Blake2b_160 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Blake2b_160 where - type HashBlockSize Blake2b_160 = 128 - type HashDigestSize Blake2b_160 = 20 + type HashBlockSize Blake2b_160 = 128 + type HashDigestSize Blake2b_160 = 20 type HashInternalContextSize Blake2b_160 = 248 - hashBlockSize _ = 128 - hashDigestSize _ = 20 + hashBlockSize _ = 128 + hashDigestSize _ = 20 hashInternalContextSize _ = 248 - hashInternalInit p = c_blake2b_init p 160 - hashInternalUpdate = c_blake2b_update - hashInternalFinalize p = c_blake2b_finalize p 160 + hashInternalInit p = c_blake2b_init p 160 + hashInternalUpdate = c_blake2b_update + hashInternalFinalize p = c_blake2b_finalize p 160 -- | Blake2b (224 bits) cryptographic hash algorithm data Blake2b_224 = Blake2b_224 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Blake2b_224 where - type HashBlockSize Blake2b_224 = 128 - type HashDigestSize Blake2b_224 = 28 + type HashBlockSize Blake2b_224 = 128 + type HashDigestSize Blake2b_224 = 28 type HashInternalContextSize Blake2b_224 = 248 - hashBlockSize _ = 128 - hashDigestSize _ = 28 + hashBlockSize _ = 128 + hashDigestSize _ = 28 hashInternalContextSize _ = 248 - hashInternalInit p = c_blake2b_init p 224 - hashInternalUpdate = c_blake2b_update - hashInternalFinalize p = c_blake2b_finalize p 224 + hashInternalInit p = c_blake2b_init p 224 + hashInternalUpdate = c_blake2b_update + hashInternalFinalize p = c_blake2b_finalize p 224 -- | Blake2b (256 bits) cryptographic hash algorithm data Blake2b_256 = Blake2b_256 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Blake2b_256 where - type HashBlockSize Blake2b_256 = 128 - type HashDigestSize Blake2b_256 = 32 + type HashBlockSize Blake2b_256 = 128 + type HashDigestSize Blake2b_256 = 32 type HashInternalContextSize Blake2b_256 = 248 - hashBlockSize _ = 128 - hashDigestSize _ = 32 + hashBlockSize _ = 128 + hashDigestSize _ = 32 hashInternalContextSize _ = 248 - hashInternalInit p = c_blake2b_init p 256 - hashInternalUpdate = c_blake2b_update - hashInternalFinalize p = c_blake2b_finalize p 256 + hashInternalInit p = c_blake2b_init p 256 + hashInternalUpdate = c_blake2b_update + hashInternalFinalize p = c_blake2b_finalize p 256 -- | Blake2b (384 bits) cryptographic hash algorithm data Blake2b_384 = Blake2b_384 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Blake2b_384 where - type HashBlockSize Blake2b_384 = 128 - type HashDigestSize Blake2b_384 = 48 + type HashBlockSize Blake2b_384 = 128 + type HashDigestSize Blake2b_384 = 48 type HashInternalContextSize Blake2b_384 = 248 - hashBlockSize _ = 128 - hashDigestSize _ = 48 + hashBlockSize _ = 128 + hashDigestSize _ = 48 hashInternalContextSize _ = 248 - hashInternalInit p = c_blake2b_init p 384 - hashInternalUpdate = c_blake2b_update - hashInternalFinalize p = c_blake2b_finalize p 384 + hashInternalInit p = c_blake2b_init p 384 + hashInternalUpdate = c_blake2b_update + hashInternalFinalize p = c_blake2b_finalize p 384 -- | Blake2b (512 bits) cryptographic hash algorithm data Blake2b_512 = Blake2b_512 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Blake2b_512 where - type HashBlockSize Blake2b_512 = 128 - type HashDigestSize Blake2b_512 = 64 + type HashBlockSize Blake2b_512 = 128 + type HashDigestSize Blake2b_512 = 64 type HashInternalContextSize Blake2b_512 = 248 - hashBlockSize _ = 128 - hashDigestSize _ = 64 + hashBlockSize _ = 128 + hashDigestSize _ = 64 hashInternalContextSize _ = 248 - hashInternalInit p = c_blake2b_init p 512 - hashInternalUpdate = c_blake2b_update - hashInternalFinalize p = c_blake2b_finalize p 512 - + hashInternalInit p = c_blake2b_init p 512 + hashInternalUpdate = c_blake2b_update + hashInternalFinalize p = c_blake2b_finalize p 512 foreign import ccall unsafe "crypton_blake2b_init" c_blake2b_init :: Ptr (Context a) -> Word32 -> IO () diff --git a/Crypto/Hash/Blake2bp.hs b/Crypto/Hash/Blake2bp.hs --- a/Crypto/Hash/Blake2bp.hs +++ b/Crypto/Hash/Blake2bp.hs @@ -1,3 +1,8 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Hash.Blake2bp -- License : BSD-style @@ -7,36 +12,29 @@ -- -- Module containing the binding functions to work with the -- Blake2bp cryptographic hash. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.Blake2bp - ( Blake2bp_512 (..) - ) where - -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) +module Crypto.Hash.Blake2bp ( + Blake2bp_512 (..), +) where +import Crypto.Hash.Types +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) -- | Blake2bp (512 bits) cryptographic hash algorithm data Blake2bp_512 = Blake2bp_512 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Blake2bp_512 where - type HashBlockSize Blake2bp_512 = 128 - type HashDigestSize Blake2bp_512 = 64 + type HashBlockSize Blake2bp_512 = 128 + type HashDigestSize Blake2bp_512 = 64 type HashInternalContextSize Blake2bp_512 = 1768 - hashBlockSize _ = 128 - hashDigestSize _ = 64 + hashBlockSize _ = 128 + hashDigestSize _ = 64 hashInternalContextSize _ = 1768 - hashInternalInit p = c_blake2bp_init p 512 - hashInternalUpdate = c_blake2bp_update - hashInternalFinalize p = c_blake2bp_finalize p 512 - + hashInternalInit p = c_blake2bp_init p 512 + hashInternalUpdate = c_blake2bp_update + hashInternalFinalize p = c_blake2bp_finalize p 512 foreign import ccall unsafe "crypton_blake2bp_init" c_blake2bp_init :: Ptr (Context a) -> Word32 -> IO () diff --git a/Crypto/Hash/Blake2s.hs b/Crypto/Hash/Blake2s.hs --- a/Crypto/Hash/Blake2s.hs +++ b/Crypto/Hash/Blake2s.hs @@ -1,3 +1,8 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Hash.Blake2s -- License : BSD-style @@ -7,66 +12,61 @@ -- -- Module containing the binding functions to work with the -- Blake2s cryptographic hash. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.Blake2s - ( Blake2s_160 (..), Blake2s_224 (..), Blake2s_256 (..) - ) where - -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) +module Crypto.Hash.Blake2s ( + Blake2s_160 (..), + Blake2s_224 (..), + Blake2s_256 (..), +) where +import Crypto.Hash.Types +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) -- | Blake2s (160 bits) cryptographic hash algorithm data Blake2s_160 = Blake2s_160 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Blake2s_160 where - type HashBlockSize Blake2s_160 = 64 - type HashDigestSize Blake2s_160 = 20 + type HashBlockSize Blake2s_160 = 64 + type HashDigestSize Blake2s_160 = 20 type HashInternalContextSize Blake2s_160 = 136 - hashBlockSize _ = 64 - hashDigestSize _ = 20 + hashBlockSize _ = 64 + hashDigestSize _ = 20 hashInternalContextSize _ = 136 - hashInternalInit p = c_blake2s_init p 160 - hashInternalUpdate = c_blake2s_update - hashInternalFinalize p = c_blake2s_finalize p 160 + hashInternalInit p = c_blake2s_init p 160 + hashInternalUpdate = c_blake2s_update + hashInternalFinalize p = c_blake2s_finalize p 160 -- | Blake2s (224 bits) cryptographic hash algorithm data Blake2s_224 = Blake2s_224 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Blake2s_224 where - type HashBlockSize Blake2s_224 = 64 - type HashDigestSize Blake2s_224 = 28 + type HashBlockSize Blake2s_224 = 64 + type HashDigestSize Blake2s_224 = 28 type HashInternalContextSize Blake2s_224 = 136 - hashBlockSize _ = 64 - hashDigestSize _ = 28 + hashBlockSize _ = 64 + hashDigestSize _ = 28 hashInternalContextSize _ = 136 - hashInternalInit p = c_blake2s_init p 224 - hashInternalUpdate = c_blake2s_update - hashInternalFinalize p = c_blake2s_finalize p 224 + hashInternalInit p = c_blake2s_init p 224 + hashInternalUpdate = c_blake2s_update + hashInternalFinalize p = c_blake2s_finalize p 224 -- | Blake2s (256 bits) cryptographic hash algorithm data Blake2s_256 = Blake2s_256 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Blake2s_256 where - type HashBlockSize Blake2s_256 = 64 - type HashDigestSize Blake2s_256 = 32 + type HashBlockSize Blake2s_256 = 64 + type HashDigestSize Blake2s_256 = 32 type HashInternalContextSize Blake2s_256 = 136 - hashBlockSize _ = 64 - hashDigestSize _ = 32 + hashBlockSize _ = 64 + hashDigestSize _ = 32 hashInternalContextSize _ = 136 - hashInternalInit p = c_blake2s_init p 256 - hashInternalUpdate = c_blake2s_update - hashInternalFinalize p = c_blake2s_finalize p 256 - + hashInternalInit p = c_blake2s_init p 256 + hashInternalUpdate = c_blake2s_update + hashInternalFinalize p = c_blake2s_finalize p 256 foreign import ccall unsafe "crypton_blake2s_init" c_blake2s_init :: Ptr (Context a) -> Word32 -> IO () diff --git a/Crypto/Hash/Blake2sp.hs b/Crypto/Hash/Blake2sp.hs --- a/Crypto/Hash/Blake2sp.hs +++ b/Crypto/Hash/Blake2sp.hs @@ -1,3 +1,8 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Hash.Blake2sp -- License : BSD-style @@ -7,51 +12,45 @@ -- -- Module containing the binding functions to work with the -- Blake2sp cryptographic hash. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.Blake2sp - ( Blake2sp_224 (..), Blake2sp_256 (..) - ) where - -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) +module Crypto.Hash.Blake2sp ( + Blake2sp_224 (..), + Blake2sp_256 (..), +) where +import Crypto.Hash.Types +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) -- | Blake2sp (224 bits) cryptographic hash algorithm data Blake2sp_224 = Blake2sp_224 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Blake2sp_224 where - type HashBlockSize Blake2sp_224 = 64 - type HashDigestSize Blake2sp_224 = 28 + type HashBlockSize Blake2sp_224 = 64 + type HashDigestSize Blake2sp_224 = 28 type HashInternalContextSize Blake2sp_224 = 1752 - hashBlockSize _ = 64 - hashDigestSize _ = 28 + hashBlockSize _ = 64 + hashDigestSize _ = 28 hashInternalContextSize _ = 1752 - hashInternalInit p = c_blake2sp_init p 224 - hashInternalUpdate = c_blake2sp_update - hashInternalFinalize p = c_blake2sp_finalize p 224 + hashInternalInit p = c_blake2sp_init p 224 + hashInternalUpdate = c_blake2sp_update + hashInternalFinalize p = c_blake2sp_finalize p 224 -- | Blake2sp (256 bits) cryptographic hash algorithm data Blake2sp_256 = Blake2sp_256 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Blake2sp_256 where - type HashBlockSize Blake2sp_256 = 64 - type HashDigestSize Blake2sp_256 = 32 + type HashBlockSize Blake2sp_256 = 64 + type HashDigestSize Blake2sp_256 = 32 type HashInternalContextSize Blake2sp_256 = 1752 - hashBlockSize _ = 64 - hashDigestSize _ = 32 + hashBlockSize _ = 64 + hashDigestSize _ = 32 hashInternalContextSize _ = 1752 - hashInternalInit p = c_blake2sp_init p 256 - hashInternalUpdate = c_blake2sp_update - hashInternalFinalize p = c_blake2sp_finalize p 256 - + hashInternalInit p = c_blake2sp_init p 256 + hashInternalUpdate = c_blake2sp_update + hashInternalFinalize p = c_blake2sp_finalize p 256 foreign import ccall unsafe "crypton_blake2sp_init" c_blake2sp_init :: Ptr (Context a) -> Word32 -> IO () diff --git a/Crypto/Hash/IO.hs b/Crypto/Hash/IO.hs --- a/Crypto/Hash/IO.hs +++ b/Crypto/Hash/IO.hs @@ -1,3 +1,6 @@ +{-# LANGUAGE GeneralizedNewtypeDeriving #-} +{-# LANGUAGE ScopedTypeVariables #-} + -- | -- Module : Crypto.Hash.IO -- License : BSD-style @@ -6,22 +9,20 @@ -- Portability : unknown -- -- Generalized impure cryptographic hash interface --- -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -{-# LANGUAGE ScopedTypeVariables #-} -module Crypto.Hash.IO - ( HashAlgorithm(..) - , MutableContext - , hashMutableInit - , hashMutableInitWith - , hashMutableUpdate - , hashMutableFinalize - , hashMutableReset - ) where +module Crypto.Hash.IO ( + HashAlgorithm (..), + MutableContext, + hashMutableInit, + hashMutableInitWith, + hashMutableUpdate, + hashMutableFinalize, + hashMutableReset, +) where -import Crypto.Hash.Types +import Crypto.Hash.Types +import Crypto.Internal.ByteArray (allocAndFreezePrimIO) import qualified Crypto.Internal.ByteArray as B -import Foreign.Ptr +import Foreign.Ptr -- | A Mutable hash context -- @@ -38,8 +39,10 @@ hashMutableInit :: HashAlgorithm alg => IO (MutableContext alg) hashMutableInit = doInit undefined B.alloc where - doInit :: HashAlgorithm a => a -> (Int -> (Ptr (Context a) -> IO ()) -> IO B.Bytes) -> IO (MutableContext a) - doInit alg alloc = MutableContext `fmap` alloc (hashInternalContextSize alg) hashInternalInit + doInit + :: HashAlgorithm a + => a -> (Int -> (Ptr (Context a) -> IO ()) -> IO B.Bytes) -> IO (MutableContext a) + doInit alg alloc = MutableContext `fmap` alloc (hashInternalContextSize alg) hashInternalInit -- | Create a new mutable hash context. -- @@ -48,23 +51,32 @@ hashMutableInitWith _ = hashMutableInit -- | Update a mutable hash context in place -hashMutableUpdate :: (B.ByteArrayAccess ba, HashAlgorithm a) => MutableContext a -> ba -> IO () +hashMutableUpdate + :: (B.ByteArrayAccess ba, HashAlgorithm a) => MutableContext a -> ba -> IO () hashMutableUpdate mc dat = doUpdate mc (B.withByteArray mc) - where doUpdate :: HashAlgorithm a => MutableContext a -> ((Ptr (Context a) -> IO ()) -> IO ()) -> IO () - doUpdate _ withCtx = - withCtx $ \ctx -> - B.withByteArray dat $ \d -> + where + doUpdate + :: HashAlgorithm a + => MutableContext a -> ((Ptr (Context a) -> IO ()) -> IO ()) -> IO () + doUpdate _ withCtx = + withCtx $ \ctx -> + B.withByteArray dat $ \d -> hashInternalUpdate ctx d (fromIntegral $ B.length dat) -- | Finalize a mutable hash context and compute a digest -hashMutableFinalize :: forall a . HashAlgorithm a => MutableContext a -> IO (Digest a) +hashMutableFinalize + :: forall a. HashAlgorithm a => MutableContext a -> IO (Digest a) hashMutableFinalize mc = do - b <- B.alloc (hashDigestSize (undefined :: a)) $ \dig -> B.withByteArray mc $ \(ctx :: Ptr (Context a)) -> hashInternalFinalize ctx dig - return $ Digest b + ba <- allocAndFreezePrimIO (hashDigestSize (undefined :: a)) $ + \(dig :: Ptr (Digest a)) -> + B.withByteArray mc $ \(ctx :: Ptr (Context a)) -> hashInternalFinalize ctx dig + return (Digest ba) -- | Reset the mutable context to the initial state of the hash hashMutableReset :: HashAlgorithm a => MutableContext a -> IO () hashMutableReset mc = doReset mc (B.withByteArray mc) where - doReset :: HashAlgorithm a => MutableContext a -> ((Ptr (Context a) -> IO ()) -> IO ()) -> IO () + doReset + :: HashAlgorithm a + => MutableContext a -> ((Ptr (Context a) -> IO ()) -> IO ()) -> IO () doReset _ withCtx = withCtx hashInternalInit diff --git a/Crypto/Hash/Keccak.hs b/Crypto/Hash/Keccak.hs --- a/Crypto/Hash/Keccak.hs +++ b/Crypto/Hash/Keccak.hs @@ -1,3 +1,8 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Hash.Keccak -- License : BSD-style @@ -7,81 +12,77 @@ -- -- Module containing the binding functions to work with the -- Keccak cryptographic hash. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.Keccak - ( Keccak_224 (..), Keccak_256 (..), Keccak_384 (..), Keccak_512 (..) - ) where - -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) +module Crypto.Hash.Keccak ( + Keccak_224 (..), + Keccak_256 (..), + Keccak_384 (..), + Keccak_512 (..), +) where +import Crypto.Hash.Types +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) -- | Keccak (224 bits) cryptographic hash algorithm data Keccak_224 = Keccak_224 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Keccak_224 where - type HashBlockSize Keccak_224 = 144 - type HashDigestSize Keccak_224 = 28 + type HashBlockSize Keccak_224 = 144 + type HashDigestSize Keccak_224 = 28 type HashInternalContextSize Keccak_224 = 352 - hashBlockSize _ = 144 - hashDigestSize _ = 28 + hashBlockSize _ = 144 + hashDigestSize _ = 28 hashInternalContextSize _ = 352 - hashInternalInit p = c_keccak_init p 224 - hashInternalUpdate = c_keccak_update - hashInternalFinalize p = c_keccak_finalize p 224 + hashInternalInit p = c_keccak_init p 224 + hashInternalUpdate = c_keccak_update + hashInternalFinalize p = c_keccak_finalize p 224 -- | Keccak (256 bits) cryptographic hash algorithm data Keccak_256 = Keccak_256 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Keccak_256 where - type HashBlockSize Keccak_256 = 136 - type HashDigestSize Keccak_256 = 32 + type HashBlockSize Keccak_256 = 136 + type HashDigestSize Keccak_256 = 32 type HashInternalContextSize Keccak_256 = 344 - hashBlockSize _ = 136 - hashDigestSize _ = 32 + hashBlockSize _ = 136 + hashDigestSize _ = 32 hashInternalContextSize _ = 344 - hashInternalInit p = c_keccak_init p 256 - hashInternalUpdate = c_keccak_update - hashInternalFinalize p = c_keccak_finalize p 256 + hashInternalInit p = c_keccak_init p 256 + hashInternalUpdate = c_keccak_update + hashInternalFinalize p = c_keccak_finalize p 256 -- | Keccak (384 bits) cryptographic hash algorithm data Keccak_384 = Keccak_384 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Keccak_384 where - type HashBlockSize Keccak_384 = 104 - type HashDigestSize Keccak_384 = 48 + type HashBlockSize Keccak_384 = 104 + type HashDigestSize Keccak_384 = 48 type HashInternalContextSize Keccak_384 = 312 - hashBlockSize _ = 104 - hashDigestSize _ = 48 + hashBlockSize _ = 104 + hashDigestSize _ = 48 hashInternalContextSize _ = 312 - hashInternalInit p = c_keccak_init p 384 - hashInternalUpdate = c_keccak_update - hashInternalFinalize p = c_keccak_finalize p 384 + hashInternalInit p = c_keccak_init p 384 + hashInternalUpdate = c_keccak_update + hashInternalFinalize p = c_keccak_finalize p 384 -- | Keccak (512 bits) cryptographic hash algorithm data Keccak_512 = Keccak_512 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Keccak_512 where - type HashBlockSize Keccak_512 = 72 - type HashDigestSize Keccak_512 = 64 + type HashBlockSize Keccak_512 = 72 + type HashDigestSize Keccak_512 = 64 type HashInternalContextSize Keccak_512 = 280 - hashBlockSize _ = 72 - hashDigestSize _ = 64 + hashBlockSize _ = 72 + hashDigestSize _ = 64 hashInternalContextSize _ = 280 - hashInternalInit p = c_keccak_init p 512 - hashInternalUpdate = c_keccak_update - hashInternalFinalize p = c_keccak_finalize p 512 - + hashInternalInit p = c_keccak_init p 512 + hashInternalUpdate = c_keccak_update + hashInternalFinalize p = c_keccak_finalize p 512 foreign import ccall unsafe "crypton_keccak_init" c_keccak_init :: Ptr (Context a) -> Word32 -> IO () diff --git a/Crypto/Hash/MD2.hs b/Crypto/Hash/MD2.hs --- a/Crypto/Hash/MD2.hs +++ b/Crypto/Hash/MD2.hs @@ -1,3 +1,8 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Hash.MD2 -- License : BSD-style @@ -7,35 +12,30 @@ -- -- Module containing the binding functions to work with the -- MD2 cryptographic hash. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.MD2 ( MD2 (..) ) where +module Crypto.Hash.MD2 (MD2 (..)) where -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) +import Crypto.Hash.Types +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) -- | MD2 cryptographic hash algorithm data MD2 = MD2 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm MD2 where - type HashBlockSize MD2 = 16 - type HashDigestSize MD2 = 16 + type HashBlockSize MD2 = 16 + type HashDigestSize MD2 = 16 type HashInternalContextSize MD2 = 96 - hashBlockSize _ = 16 - hashDigestSize _ = 16 + hashBlockSize _ = 16 + hashDigestSize _ = 16 hashInternalContextSize _ = 96 - hashInternalInit = c_md2_init - hashInternalUpdate = c_md2_update - hashInternalFinalize = c_md2_finalize + hashInternalInit = c_md2_init + hashInternalUpdate = c_md2_update + hashInternalFinalize = c_md2_finalize foreign import ccall unsafe "crypton_md2_init" - c_md2_init :: Ptr (Context a)-> IO () + c_md2_init :: Ptr (Context a) -> IO () foreign import ccall "crypton_md2_update" c_md2_update :: Ptr (Context a) -> Ptr Word8 -> Word32 -> IO () diff --git a/Crypto/Hash/MD4.hs b/Crypto/Hash/MD4.hs --- a/Crypto/Hash/MD4.hs +++ b/Crypto/Hash/MD4.hs @@ -1,3 +1,8 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Hash.MD4 -- License : BSD-style @@ -7,35 +12,30 @@ -- -- Module containing the binding functions to work with the -- MD4 cryptographic hash. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.MD4 ( MD4 (..) ) where +module Crypto.Hash.MD4 (MD4 (..)) where -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) +import Crypto.Hash.Types +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) -- | MD4 cryptographic hash algorithm data MD4 = MD4 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm MD4 where - type HashBlockSize MD4 = 64 - type HashDigestSize MD4 = 16 + type HashBlockSize MD4 = 64 + type HashDigestSize MD4 = 16 type HashInternalContextSize MD4 = 96 - hashBlockSize _ = 64 - hashDigestSize _ = 16 + hashBlockSize _ = 64 + hashDigestSize _ = 16 hashInternalContextSize _ = 96 - hashInternalInit = c_md4_init - hashInternalUpdate = c_md4_update - hashInternalFinalize = c_md4_finalize + hashInternalInit = c_md4_init + hashInternalUpdate = c_md4_update + hashInternalFinalize = c_md4_finalize foreign import ccall unsafe "crypton_md4_init" - c_md4_init :: Ptr (Context a)-> IO () + c_md4_init :: Ptr (Context a) -> IO () foreign import ccall "crypton_md4_update" c_md4_update :: Ptr (Context a) -> Ptr Word8 -> Word32 -> IO () diff --git a/Crypto/Hash/MD5.hs b/Crypto/Hash/MD5.hs --- a/Crypto/Hash/MD5.hs +++ b/Crypto/Hash/MD5.hs @@ -1,3 +1,8 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Hash.MD5 -- License : BSD-style @@ -7,38 +12,33 @@ -- -- Module containing the binding functions to work with the -- MD5 cryptographic hash. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.MD5 ( MD5 (..) ) where +module Crypto.Hash.MD5 (MD5 (..)) where -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) +import Crypto.Hash.Types +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) -- | MD5 cryptographic hash algorithm data MD5 = MD5 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm MD5 where - type HashBlockSize MD5 = 64 - type HashDigestSize MD5 = 16 + type HashBlockSize MD5 = 64 + type HashDigestSize MD5 = 16 type HashInternalContextSize MD5 = 96 - hashBlockSize _ = 64 - hashDigestSize _ = 16 + hashBlockSize _ = 64 + hashDigestSize _ = 16 hashInternalContextSize _ = 96 - hashInternalInit = c_md5_init - hashInternalUpdate = c_md5_update - hashInternalFinalize = c_md5_finalize + hashInternalInit = c_md5_init + hashInternalUpdate = c_md5_update + hashInternalFinalize = c_md5_finalize instance HashAlgorithmPrefix MD5 where hashInternalFinalizePrefix = c_md5_finalize_prefix foreign import ccall unsafe "crypton_md5_init" - c_md5_init :: Ptr (Context a)-> IO () + c_md5_init :: Ptr (Context a) -> IO () foreign import ccall "crypton_md5_update" c_md5_update :: Ptr (Context a) -> Ptr Word8 -> Word32 -> IO () @@ -47,4 +47,5 @@ c_md5_finalize :: Ptr (Context a) -> Ptr (Digest a) -> IO () foreign import ccall "crypton_md5_finalize_prefix" - c_md5_finalize_prefix :: Ptr (Context a) -> Ptr Word8 -> Word32 -> Word32 -> Ptr (Digest a) -> IO () + c_md5_finalize_prefix + :: Ptr (Context a) -> Ptr Word8 -> Word32 -> Word32 -> Ptr (Digest a) -> IO () diff --git a/Crypto/Hash/RIPEMD160.hs b/Crypto/Hash/RIPEMD160.hs --- a/Crypto/Hash/RIPEMD160.hs +++ b/Crypto/Hash/RIPEMD160.hs @@ -1,3 +1,8 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Hash.RIPEMD160 -- License : BSD-style @@ -7,35 +12,30 @@ -- -- Module containing the binding functions to work with the -- RIPEMD160 cryptographic hash. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.RIPEMD160 ( RIPEMD160 (..) ) where +module Crypto.Hash.RIPEMD160 (RIPEMD160 (..)) where -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) +import Crypto.Hash.Types +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) -- | RIPEMD160 cryptographic hash algorithm data RIPEMD160 = RIPEMD160 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm RIPEMD160 where - type HashBlockSize RIPEMD160 = 64 - type HashDigestSize RIPEMD160 = 20 + type HashBlockSize RIPEMD160 = 64 + type HashDigestSize RIPEMD160 = 20 type HashInternalContextSize RIPEMD160 = 128 - hashBlockSize _ = 64 - hashDigestSize _ = 20 + hashBlockSize _ = 64 + hashDigestSize _ = 20 hashInternalContextSize _ = 128 - hashInternalInit = c_ripemd160_init - hashInternalUpdate = c_ripemd160_update - hashInternalFinalize = c_ripemd160_finalize + hashInternalInit = c_ripemd160_init + hashInternalUpdate = c_ripemd160_update + hashInternalFinalize = c_ripemd160_finalize foreign import ccall unsafe "crypton_ripemd160_init" - c_ripemd160_init :: Ptr (Context a)-> IO () + c_ripemd160_init :: Ptr (Context a) -> IO () foreign import ccall "crypton_ripemd160_update" c_ripemd160_update :: Ptr (Context a) -> Ptr Word8 -> Word32 -> IO () diff --git a/Crypto/Hash/SHA1.hs b/Crypto/Hash/SHA1.hs --- a/Crypto/Hash/SHA1.hs +++ b/Crypto/Hash/SHA1.hs @@ -1,3 +1,8 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Hash.SHA1 -- License : BSD-style @@ -7,38 +12,33 @@ -- -- Module containing the binding functions to work with the -- SHA1 cryptographic hash. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.SHA1 ( SHA1 (..) ) where +module Crypto.Hash.SHA1 (SHA1 (..)) where -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) +import Crypto.Hash.Types +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) -- | SHA1 cryptographic hash algorithm data SHA1 = SHA1 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm SHA1 where - type HashBlockSize SHA1 = 64 - type HashDigestSize SHA1 = 20 + type HashBlockSize SHA1 = 64 + type HashDigestSize SHA1 = 20 type HashInternalContextSize SHA1 = 96 - hashBlockSize _ = 64 - hashDigestSize _ = 20 + hashBlockSize _ = 64 + hashDigestSize _ = 20 hashInternalContextSize _ = 96 - hashInternalInit = c_sha1_init - hashInternalUpdate = c_sha1_update - hashInternalFinalize = c_sha1_finalize + hashInternalInit = c_sha1_init + hashInternalUpdate = c_sha1_update + hashInternalFinalize = c_sha1_finalize instance HashAlgorithmPrefix SHA1 where hashInternalFinalizePrefix = c_sha1_finalize_prefix foreign import ccall unsafe "crypton_sha1_init" - c_sha1_init :: Ptr (Context a)-> IO () + c_sha1_init :: Ptr (Context a) -> IO () foreign import ccall "crypton_sha1_update" c_sha1_update :: Ptr (Context a) -> Ptr Word8 -> Word32 -> IO () @@ -47,4 +47,5 @@ c_sha1_finalize :: Ptr (Context a) -> Ptr (Digest a) -> IO () foreign import ccall "crypton_sha1_finalize_prefix" - c_sha1_finalize_prefix :: Ptr (Context a) -> Ptr Word8 -> Word32 -> Word32 -> Ptr (Digest a) -> IO () + c_sha1_finalize_prefix + :: Ptr (Context a) -> Ptr Word8 -> Word32 -> Word32 -> Ptr (Digest a) -> IO () diff --git a/Crypto/Hash/SHA224.hs b/Crypto/Hash/SHA224.hs --- a/Crypto/Hash/SHA224.hs +++ b/Crypto/Hash/SHA224.hs @@ -1,3 +1,8 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Hash.SHA224 -- License : BSD-style @@ -7,38 +12,33 @@ -- -- Module containing the binding functions to work with the -- SHA224 cryptographic hash. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.SHA224 ( SHA224 (..) ) where +module Crypto.Hash.SHA224 (SHA224 (..)) where -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) +import Crypto.Hash.Types +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) -- | SHA224 cryptographic hash algorithm data SHA224 = SHA224 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm SHA224 where - type HashBlockSize SHA224 = 64 - type HashDigestSize SHA224 = 28 + type HashBlockSize SHA224 = 64 + type HashDigestSize SHA224 = 28 type HashInternalContextSize SHA224 = 192 - hashBlockSize _ = 64 - hashDigestSize _ = 28 + hashBlockSize _ = 64 + hashDigestSize _ = 28 hashInternalContextSize _ = 192 - hashInternalInit = c_sha224_init - hashInternalUpdate = c_sha224_update - hashInternalFinalize = c_sha224_finalize + hashInternalInit = c_sha224_init + hashInternalUpdate = c_sha224_update + hashInternalFinalize = c_sha224_finalize instance HashAlgorithmPrefix SHA224 where hashInternalFinalizePrefix = c_sha224_finalize_prefix foreign import ccall unsafe "crypton_sha224_init" - c_sha224_init :: Ptr (Context a)-> IO () + c_sha224_init :: Ptr (Context a) -> IO () foreign import ccall "crypton_sha224_update" c_sha224_update :: Ptr (Context a) -> Ptr Word8 -> Word32 -> IO () @@ -47,4 +47,5 @@ c_sha224_finalize :: Ptr (Context a) -> Ptr (Digest a) -> IO () foreign import ccall "crypton_sha224_finalize_prefix" - c_sha224_finalize_prefix :: Ptr (Context a) -> Ptr Word8 -> Word32 -> Word32 -> Ptr (Digest a) -> IO () + c_sha224_finalize_prefix + :: Ptr (Context a) -> Ptr Word8 -> Word32 -> Word32 -> Ptr (Digest a) -> IO () diff --git a/Crypto/Hash/SHA256.hs b/Crypto/Hash/SHA256.hs --- a/Crypto/Hash/SHA256.hs +++ b/Crypto/Hash/SHA256.hs @@ -1,3 +1,8 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Hash.SHA256 -- License : BSD-style @@ -7,38 +12,33 @@ -- -- Module containing the binding functions to work with the -- SHA256 cryptographic hash. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.SHA256 ( SHA256 (..) ) where +module Crypto.Hash.SHA256 (SHA256 (..)) where -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) +import Crypto.Hash.Types +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) -- | SHA256 cryptographic hash algorithm data SHA256 = SHA256 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm SHA256 where - type HashBlockSize SHA256 = 64 - type HashDigestSize SHA256 = 32 + type HashBlockSize SHA256 = 64 + type HashDigestSize SHA256 = 32 type HashInternalContextSize SHA256 = 192 - hashBlockSize _ = 64 - hashDigestSize _ = 32 + hashBlockSize _ = 64 + hashDigestSize _ = 32 hashInternalContextSize _ = 192 - hashInternalInit = c_sha256_init - hashInternalUpdate = c_sha256_update - hashInternalFinalize = c_sha256_finalize + hashInternalInit = c_sha256_init + hashInternalUpdate = c_sha256_update + hashInternalFinalize = c_sha256_finalize instance HashAlgorithmPrefix SHA256 where hashInternalFinalizePrefix = c_sha256_finalize_prefix foreign import ccall unsafe "crypton_sha256_init" - c_sha256_init :: Ptr (Context a)-> IO () + c_sha256_init :: Ptr (Context a) -> IO () foreign import ccall "crypton_sha256_update" c_sha256_update :: Ptr (Context a) -> Ptr Word8 -> Word32 -> IO () @@ -47,4 +47,5 @@ c_sha256_finalize :: Ptr (Context a) -> Ptr (Digest a) -> IO () foreign import ccall "crypton_sha256_finalize_prefix" - c_sha256_finalize_prefix :: Ptr (Context a) -> Ptr Word8 -> Word32 -> Word32 -> Ptr (Digest a) -> IO () + c_sha256_finalize_prefix + :: Ptr (Context a) -> Ptr Word8 -> Word32 -> Word32 -> Ptr (Digest a) -> IO () diff --git a/Crypto/Hash/SHA3.hs b/Crypto/Hash/SHA3.hs --- a/Crypto/Hash/SHA3.hs +++ b/Crypto/Hash/SHA3.hs @@ -1,3 +1,8 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Hash.SHA3 -- License : BSD-style @@ -7,81 +12,77 @@ -- -- Module containing the binding functions to work with the -- SHA3 cryptographic hash. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.SHA3 - ( SHA3_224 (..), SHA3_256 (..), SHA3_384 (..), SHA3_512 (..) - ) where - -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) +module Crypto.Hash.SHA3 ( + SHA3_224 (..), + SHA3_256 (..), + SHA3_384 (..), + SHA3_512 (..), +) where +import Crypto.Hash.Types +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) -- | SHA3 (224 bits) cryptographic hash algorithm data SHA3_224 = SHA3_224 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm SHA3_224 where - type HashBlockSize SHA3_224 = 144 - type HashDigestSize SHA3_224 = 28 + type HashBlockSize SHA3_224 = 144 + type HashDigestSize SHA3_224 = 28 type HashInternalContextSize SHA3_224 = 352 - hashBlockSize _ = 144 - hashDigestSize _ = 28 + hashBlockSize _ = 144 + hashDigestSize _ = 28 hashInternalContextSize _ = 352 - hashInternalInit p = c_sha3_init p 224 - hashInternalUpdate = c_sha3_update - hashInternalFinalize p = c_sha3_finalize p 224 + hashInternalInit p = c_sha3_init p 224 + hashInternalUpdate = c_sha3_update + hashInternalFinalize p = c_sha3_finalize p 224 -- | SHA3 (256 bits) cryptographic hash algorithm data SHA3_256 = SHA3_256 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm SHA3_256 where - type HashBlockSize SHA3_256 = 136 - type HashDigestSize SHA3_256 = 32 + type HashBlockSize SHA3_256 = 136 + type HashDigestSize SHA3_256 = 32 type HashInternalContextSize SHA3_256 = 344 - hashBlockSize _ = 136 - hashDigestSize _ = 32 + hashBlockSize _ = 136 + hashDigestSize _ = 32 hashInternalContextSize _ = 344 - hashInternalInit p = c_sha3_init p 256 - hashInternalUpdate = c_sha3_update - hashInternalFinalize p = c_sha3_finalize p 256 + hashInternalInit p = c_sha3_init p 256 + hashInternalUpdate = c_sha3_update + hashInternalFinalize p = c_sha3_finalize p 256 -- | SHA3 (384 bits) cryptographic hash algorithm data SHA3_384 = SHA3_384 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm SHA3_384 where - type HashBlockSize SHA3_384 = 104 - type HashDigestSize SHA3_384 = 48 + type HashBlockSize SHA3_384 = 104 + type HashDigestSize SHA3_384 = 48 type HashInternalContextSize SHA3_384 = 312 - hashBlockSize _ = 104 - hashDigestSize _ = 48 + hashBlockSize _ = 104 + hashDigestSize _ = 48 hashInternalContextSize _ = 312 - hashInternalInit p = c_sha3_init p 384 - hashInternalUpdate = c_sha3_update - hashInternalFinalize p = c_sha3_finalize p 384 + hashInternalInit p = c_sha3_init p 384 + hashInternalUpdate = c_sha3_update + hashInternalFinalize p = c_sha3_finalize p 384 -- | SHA3 (512 bits) cryptographic hash algorithm data SHA3_512 = SHA3_512 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm SHA3_512 where - type HashBlockSize SHA3_512 = 72 - type HashDigestSize SHA3_512 = 64 + type HashBlockSize SHA3_512 = 72 + type HashDigestSize SHA3_512 = 64 type HashInternalContextSize SHA3_512 = 280 - hashBlockSize _ = 72 - hashDigestSize _ = 64 + hashBlockSize _ = 72 + hashDigestSize _ = 64 hashInternalContextSize _ = 280 - hashInternalInit p = c_sha3_init p 512 - hashInternalUpdate = c_sha3_update - hashInternalFinalize p = c_sha3_finalize p 512 - + hashInternalInit p = c_sha3_init p 512 + hashInternalUpdate = c_sha3_update + hashInternalFinalize p = c_sha3_finalize p 512 foreign import ccall unsafe "crypton_sha3_init" c_sha3_init :: Ptr (Context a) -> Word32 -> IO () diff --git a/Crypto/Hash/SHA384.hs b/Crypto/Hash/SHA384.hs --- a/Crypto/Hash/SHA384.hs +++ b/Crypto/Hash/SHA384.hs @@ -1,3 +1,8 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Hash.SHA384 -- License : BSD-style @@ -7,38 +12,33 @@ -- -- Module containing the binding functions to work with the -- SHA384 cryptographic hash. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.SHA384 ( SHA384 (..) ) where +module Crypto.Hash.SHA384 (SHA384 (..)) where -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) +import Crypto.Hash.Types +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) -- | SHA384 cryptographic hash algorithm data SHA384 = SHA384 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm SHA384 where - type HashBlockSize SHA384 = 128 - type HashDigestSize SHA384 = 48 + type HashBlockSize SHA384 = 128 + type HashDigestSize SHA384 = 48 type HashInternalContextSize SHA384 = 256 - hashBlockSize _ = 128 - hashDigestSize _ = 48 + hashBlockSize _ = 128 + hashDigestSize _ = 48 hashInternalContextSize _ = 256 - hashInternalInit = c_sha384_init - hashInternalUpdate = c_sha384_update - hashInternalFinalize = c_sha384_finalize + hashInternalInit = c_sha384_init + hashInternalUpdate = c_sha384_update + hashInternalFinalize = c_sha384_finalize instance HashAlgorithmPrefix SHA384 where hashInternalFinalizePrefix = c_sha384_finalize_prefix foreign import ccall unsafe "crypton_sha384_init" - c_sha384_init :: Ptr (Context a)-> IO () + c_sha384_init :: Ptr (Context a) -> IO () foreign import ccall "crypton_sha384_update" c_sha384_update :: Ptr (Context a) -> Ptr Word8 -> Word32 -> IO () @@ -47,4 +47,5 @@ c_sha384_finalize :: Ptr (Context a) -> Ptr (Digest a) -> IO () foreign import ccall "crypton_sha384_finalize_prefix" - c_sha384_finalize_prefix :: Ptr (Context a) -> Ptr Word8 -> Word32 -> Word32 -> Ptr (Digest a) -> IO () + c_sha384_finalize_prefix + :: Ptr (Context a) -> Ptr Word8 -> Word32 -> Word32 -> Ptr (Digest a) -> IO () diff --git a/Crypto/Hash/SHA512.hs b/Crypto/Hash/SHA512.hs --- a/Crypto/Hash/SHA512.hs +++ b/Crypto/Hash/SHA512.hs @@ -1,3 +1,8 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Hash.SHA512 -- License : BSD-style @@ -7,38 +12,33 @@ -- -- Module containing the binding functions to work with the -- SHA512 cryptographic hash. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.SHA512 ( SHA512 (..) ) where +module Crypto.Hash.SHA512 (SHA512 (..)) where -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) +import Crypto.Hash.Types +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) -- | SHA512 cryptographic hash algorithm data SHA512 = SHA512 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm SHA512 where - type HashBlockSize SHA512 = 128 - type HashDigestSize SHA512 = 64 + type HashBlockSize SHA512 = 128 + type HashDigestSize SHA512 = 64 type HashInternalContextSize SHA512 = 256 - hashBlockSize _ = 128 - hashDigestSize _ = 64 + hashBlockSize _ = 128 + hashDigestSize _ = 64 hashInternalContextSize _ = 256 - hashInternalInit = c_sha512_init - hashInternalUpdate = c_sha512_update - hashInternalFinalize = c_sha512_finalize + hashInternalInit = c_sha512_init + hashInternalUpdate = c_sha512_update + hashInternalFinalize = c_sha512_finalize instance HashAlgorithmPrefix SHA512 where hashInternalFinalizePrefix = c_sha512_finalize_prefix foreign import ccall unsafe "crypton_sha512_init" - c_sha512_init :: Ptr (Context a)-> IO () + c_sha512_init :: Ptr (Context a) -> IO () foreign import ccall "crypton_sha512_update" c_sha512_update :: Ptr (Context a) -> Ptr Word8 -> Word32 -> IO () @@ -47,4 +47,5 @@ c_sha512_finalize :: Ptr (Context a) -> Ptr (Digest a) -> IO () foreign import ccall "crypton_sha512_finalize_prefix" - c_sha512_finalize_prefix :: Ptr (Context a) -> Ptr Word8 -> Word32 -> Word32 -> Ptr (Digest a) -> IO () + c_sha512_finalize_prefix + :: Ptr (Context a) -> Ptr Word8 -> Word32 -> Word32 -> Ptr (Digest a) -> IO () diff --git a/Crypto/Hash/SHA512t.hs b/Crypto/Hash/SHA512t.hs --- a/Crypto/Hash/SHA512t.hs +++ b/Crypto/Hash/SHA512t.hs @@ -1,3 +1,8 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Hash.SHA512t -- License : BSD-style @@ -7,51 +12,45 @@ -- -- Module containing the binding functions to work with the -- SHA512t cryptographic hash. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.SHA512t - ( SHA512t_224 (..), SHA512t_256 (..) - ) where - -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) +module Crypto.Hash.SHA512t ( + SHA512t_224 (..), + SHA512t_256 (..), +) where +import Crypto.Hash.Types +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) -- | SHA512t (224 bits) cryptographic hash algorithm data SHA512t_224 = SHA512t_224 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm SHA512t_224 where - type HashBlockSize SHA512t_224 = 128 - type HashDigestSize SHA512t_224 = 28 + type HashBlockSize SHA512t_224 = 128 + type HashDigestSize SHA512t_224 = 28 type HashInternalContextSize SHA512t_224 = 256 - hashBlockSize _ = 128 - hashDigestSize _ = 28 + hashBlockSize _ = 128 + hashDigestSize _ = 28 hashInternalContextSize _ = 256 - hashInternalInit p = c_sha512t_init p 224 - hashInternalUpdate = c_sha512t_update - hashInternalFinalize p = c_sha512t_finalize p 224 + hashInternalInit p = c_sha512t_init p 224 + hashInternalUpdate = c_sha512t_update + hashInternalFinalize p = c_sha512t_finalize p 224 -- | SHA512t (256 bits) cryptographic hash algorithm data SHA512t_256 = SHA512t_256 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm SHA512t_256 where - type HashBlockSize SHA512t_256 = 128 - type HashDigestSize SHA512t_256 = 32 + type HashBlockSize SHA512t_256 = 128 + type HashDigestSize SHA512t_256 = 32 type HashInternalContextSize SHA512t_256 = 256 - hashBlockSize _ = 128 - hashDigestSize _ = 32 + hashBlockSize _ = 128 + hashDigestSize _ = 32 hashInternalContextSize _ = 256 - hashInternalInit p = c_sha512t_init p 256 - hashInternalUpdate = c_sha512t_update - hashInternalFinalize p = c_sha512t_finalize p 256 - + hashInternalInit p = c_sha512t_init p 256 + hashInternalUpdate = c_sha512t_update + hashInternalFinalize p = c_sha512t_finalize p 256 foreign import ccall unsafe "crypton_sha512t_init" c_sha512t_init :: Ptr (Context a) -> Word32 -> IO () diff --git a/Crypto/Hash/SHAKE.hs b/Crypto/Hash/SHAKE.hs --- a/Crypto/Hash/SHAKE.hs +++ b/Crypto/Hash/SHAKE.hs @@ -1,3 +1,12 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE KindSignatures #-} +{-# LANGUAGE ScopedTypeVariables #-} +{-# LANGUAGE TypeFamilies #-} +{-# LANGUAGE TypeOperators #-} +{-# LANGUAGE UndecidableInstances #-} + -- | -- Module : Crypto.Hash.SHAKE -- License : BSD-style @@ -7,56 +16,50 @@ -- -- Module containing the binding functions to work with the -- SHA3 extendable output functions (SHAKE). --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE KindSignatures #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE ScopedTypeVariables #-} -{-# LANGUAGE TypeOperators #-} -{-# LANGUAGE TypeFamilies #-} -{-# LANGUAGE UndecidableInstances #-} -module Crypto.Hash.SHAKE - ( SHAKE128 (..), SHAKE256 (..), HashSHAKE (..) - ) where +module Crypto.Hash.SHAKE ( + SHAKE128 (..), + SHAKE256 (..), + HashSHAKE (..), +) where -import Control.Monad (when) -import Crypto.Hash.Types -import Foreign.Ptr (Ptr, castPtr) -import Foreign.Storable (Storable(..)) -import Data.Bits -import Data.Data -import Data.Word (Word8, Word32) +import Control.Monad (when) +import Crypto.Hash.Types +import Data.Bits +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr, castPtr) +import Foreign.Storable (Storable (..)) -import GHC.TypeLits (Nat, KnownNat, type (+)) -import Crypto.Internal.Nat +import Crypto.Internal.Nat +import GHC.TypeLits (KnownNat, Nat, type (+)) -- | Type class of SHAKE algorithms. class HashAlgorithm a => HashSHAKE a where -- | Alternate finalization needed for cSHAKE cshakeInternalFinalize :: Ptr (Context a) -> Ptr (Digest a) -> IO () + -- | Get the digest bit length cshakeOutputLength :: a -> Int -- | SHAKE128 (128 bits) extendable output function. Supports an arbitrary -- digest size, to be specified as a type parameter of kind 'Nat'. -- --- Note: outputs from @'SHAKE128' n@ and @'SHAKE128' m@ for the same input are +-- Note: outputs from @t'SHAKE128' n@ and @t'SHAKE128' m@ for the same input are -- correlated (one being a prefix of the other). Results are unrelated to --- 'SHAKE256' results. +-- t'SHAKE256' results. data SHAKE128 (bitlen :: Nat) = SHAKE128 deriving (Show, Data) instance KnownNat bitlen => HashAlgorithm (SHAKE128 bitlen) where - type HashBlockSize (SHAKE128 bitlen) = 168 - type HashDigestSize (SHAKE128 bitlen) = Div8 (bitlen + 7) + type HashBlockSize (SHAKE128 bitlen) = 168 + type HashDigestSize (SHAKE128 bitlen) = Div8 (bitlen + 7) type HashInternalContextSize (SHAKE128 bitlen) = 376 - hashBlockSize _ = 168 - hashDigestSize _ = byteLen (Proxy :: Proxy bitlen) + hashBlockSize _ = 168 + hashDigestSize _ = byteLen (Proxy :: Proxy bitlen) hashInternalContextSize _ = 376 - hashInternalInit p = c_sha3_init p 128 - hashInternalUpdate = c_sha3_update - hashInternalFinalize = shakeFinalizeOutput (Proxy :: Proxy bitlen) + hashInternalInit p = c_sha3_init p 128 + hashInternalUpdate = c_sha3_update + hashInternalFinalize = shakeFinalizeOutput (Proxy :: Proxy bitlen) instance KnownNat bitlen => HashSHAKE (SHAKE128 bitlen) where cshakeInternalFinalize = cshakeFinalizeOutput (Proxy :: Proxy bitlen) @@ -65,42 +68,44 @@ -- | SHAKE256 (256 bits) extendable output function. Supports an arbitrary -- digest size, to be specified as a type parameter of kind 'Nat'. -- --- Note: outputs from @'SHAKE256' n@ and @'SHAKE256' m@ for the same input are +-- Note: outputs from @t'SHAKE256' n@ and @t'SHAKE256' m@ for the same input are -- correlated (one being a prefix of the other). Results are unrelated to --- 'SHAKE128' results. +-- t'SHAKE128' results. data SHAKE256 (bitlen :: Nat) = SHAKE256 deriving (Show, Data) instance KnownNat bitlen => HashAlgorithm (SHAKE256 bitlen) where - type HashBlockSize (SHAKE256 bitlen) = 136 - type HashDigestSize (SHAKE256 bitlen) = Div8 (bitlen + 7) + type HashBlockSize (SHAKE256 bitlen) = 136 + type HashDigestSize (SHAKE256 bitlen) = Div8 (bitlen + 7) type HashInternalContextSize (SHAKE256 bitlen) = 344 - hashBlockSize _ = 136 - hashDigestSize _ = byteLen (Proxy :: Proxy bitlen) + hashBlockSize _ = 136 + hashDigestSize _ = byteLen (Proxy :: Proxy bitlen) hashInternalContextSize _ = 344 - hashInternalInit p = c_sha3_init p 256 - hashInternalUpdate = c_sha3_update - hashInternalFinalize = shakeFinalizeOutput (Proxy :: Proxy bitlen) + hashInternalInit p = c_sha3_init p 256 + hashInternalUpdate = c_sha3_update + hashInternalFinalize = shakeFinalizeOutput (Proxy :: Proxy bitlen) instance KnownNat bitlen => HashSHAKE (SHAKE256 bitlen) where cshakeInternalFinalize = cshakeFinalizeOutput (Proxy :: Proxy bitlen) cshakeOutputLength _ = integralNatVal (Proxy :: Proxy bitlen) -shakeFinalizeOutput :: KnownNat bitlen - => proxy bitlen - -> Ptr (Context a) - -> Ptr (Digest a) - -> IO () +shakeFinalizeOutput + :: KnownNat bitlen + => proxy bitlen + -> Ptr (Context a) + -> Ptr (Digest a) + -> IO () shakeFinalizeOutput d ctx dig = do c_sha3_finalize_shake ctx c_sha3_output ctx dig (byteLen d) shakeTruncate d (castPtr dig) -cshakeFinalizeOutput :: KnownNat bitlen - => proxy bitlen - -> Ptr (Context a) - -> Ptr (Digest a) - -> IO () +cshakeFinalizeOutput + :: KnownNat bitlen + => proxy bitlen + -> Ptr (Context a) + -> Ptr (Digest a) + -> IO () cshakeFinalizeOutput d ctx dig = do c_sha3_finalize_cshake ctx c_sha3_output ctx dig (byteLen d) diff --git a/Crypto/Hash/Skein256.hs b/Crypto/Hash/Skein256.hs --- a/Crypto/Hash/Skein256.hs +++ b/Crypto/Hash/Skein256.hs @@ -1,3 +1,12 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE KindSignatures #-} +{-# LANGUAGE ScopedTypeVariables #-} +{-# LANGUAGE TypeFamilies #-} +{-# LANGUAGE TypeOperators #-} +{-# LANGUAGE UndecidableInstances #-} + -- | -- Module : Crypto.Hash.Skein256 -- License : BSD-style @@ -7,51 +16,80 @@ -- -- Module containing the binding functions to work with the -- Skein256 cryptographic hash. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.Skein256 - ( Skein256_224 (..), Skein256_256 (..) - ) where - -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) +module Crypto.Hash.Skein256 ( + Skein256 (..), + Skein256_224 (..), + Skein256_256 (..), +) where +import Crypto.Hash.Types +import Crypto.Internal.Nat +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) +import GHC.TypeLits (KnownNat, Nat, type (+)) -- | Skein256 (224 bits) cryptographic hash algorithm data Skein256_224 = Skein256_224 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Skein256_224 where - type HashBlockSize Skein256_224 = 32 - type HashDigestSize Skein256_224 = 28 + type HashBlockSize Skein256_224 = 32 + type HashDigestSize Skein256_224 = 28 type HashInternalContextSize Skein256_224 = 96 - hashBlockSize _ = 32 - hashDigestSize _ = 28 + hashBlockSize _ = 32 + hashDigestSize _ = 28 hashInternalContextSize _ = 96 - hashInternalInit p = c_skein256_init p 224 - hashInternalUpdate = c_skein256_update - hashInternalFinalize p = c_skein256_finalize p 224 + hashInternalInit p = c_skein256_init p 224 + hashInternalUpdate = c_skein256_update + hashInternalFinalize p = c_skein256_finalize p 224 -- | Skein256 (256 bits) cryptographic hash algorithm data Skein256_256 = Skein256_256 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Skein256_256 where - type HashBlockSize Skein256_256 = 32 - type HashDigestSize Skein256_256 = 32 + type HashBlockSize Skein256_256 = 32 + type HashDigestSize Skein256_256 = 32 type HashInternalContextSize Skein256_256 = 96 - hashBlockSize _ = 32 - hashDigestSize _ = 32 + hashBlockSize _ = 32 + hashDigestSize _ = 32 hashInternalContextSize _ = 96 - hashInternalInit p = c_skein256_init p 256 - hashInternalUpdate = c_skein256_update - hashInternalFinalize p = c_skein256_finalize p 256 + hashInternalInit p = c_skein256_init p 256 + hashInternalUpdate = c_skein256_update + hashInternalFinalize p = c_skein256_finalize p 256 +-- | Skein256 with the digest size given as a type parameter of kind 'Nat', +-- in bits. @t'Skein256' 256@ is @t'Skein256_256'@; the sizes with a type of +-- their own +-- above are there for their names, and this one also takes the sizes that +-- have none. +-- +-- A size that is not a whole number of bytes is rounded up to the next one, +-- as the implementation underneath does. +-- +-- The output is produced in counter mode, a block of it per Threefish call, +-- so one large digest is a good deal cheaper than the same number of bytes +-- taken from repeated small ones: on an Apple M4, 512 KiB arrives at 947 MB/s +-- in one digest against 172 MB/s as 8192 separate @t'Skein256_256'@ ones. +-- +-- Note the digest size goes into the configuration block, so it changes the +-- value the message is hashed from: a longer digest is /not/ an extension of +-- a shorter one. That is the opposite of how t'Crypto.Hash.SHAKE.SHAKE128' +-- behaves. +data Skein256 (bitlen :: Nat) = Skein256 + deriving (Show, Data) + +instance KnownNat bitlen => HashAlgorithm (Skein256 bitlen) where + type HashBlockSize (Skein256 bitlen) = 32 + type HashDigestSize (Skein256 bitlen) = Div8 (bitlen + 7) + type HashInternalContextSize (Skein256 bitlen) = 96 + hashBlockSize _ = 32 + hashDigestSize _ = byteLen (Proxy :: Proxy bitlen) + hashInternalContextSize _ = 96 + hashInternalInit p = c_skein256_init p (integralNatVal (Proxy :: Proxy bitlen)) + hashInternalUpdate = c_skein256_update + hashInternalFinalize p = c_skein256_finalize p (integralNatVal (Proxy :: Proxy bitlen)) foreign import ccall unsafe "crypton_skein256_init" c_skein256_init :: Ptr (Context a) -> Word32 -> IO () diff --git a/Crypto/Hash/Skein512.hs b/Crypto/Hash/Skein512.hs --- a/Crypto/Hash/Skein512.hs +++ b/Crypto/Hash/Skein512.hs @@ -1,3 +1,12 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE KindSignatures #-} +{-# LANGUAGE ScopedTypeVariables #-} +{-# LANGUAGE TypeFamilies #-} +{-# LANGUAGE TypeOperators #-} +{-# LANGUAGE UndecidableInstances #-} + -- | -- Module : Crypto.Hash.Skein512 -- License : BSD-style @@ -7,81 +16,112 @@ -- -- Module containing the binding functions to work with the -- Skein512 cryptographic hash. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.Skein512 - ( Skein512_224 (..), Skein512_256 (..), Skein512_384 (..), Skein512_512 (..) - ) where - -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) +module Crypto.Hash.Skein512 ( + Skein512 (..), + Skein512_224 (..), + Skein512_256 (..), + Skein512_384 (..), + Skein512_512 (..), +) where +import Crypto.Hash.Types +import Crypto.Internal.Nat +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) +import GHC.TypeLits (KnownNat, Nat, type (+)) -- | Skein512 (224 bits) cryptographic hash algorithm data Skein512_224 = Skein512_224 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Skein512_224 where - type HashBlockSize Skein512_224 = 64 - type HashDigestSize Skein512_224 = 28 + type HashBlockSize Skein512_224 = 64 + type HashDigestSize Skein512_224 = 28 type HashInternalContextSize Skein512_224 = 160 - hashBlockSize _ = 64 - hashDigestSize _ = 28 + hashBlockSize _ = 64 + hashDigestSize _ = 28 hashInternalContextSize _ = 160 - hashInternalInit p = c_skein512_init p 224 - hashInternalUpdate = c_skein512_update - hashInternalFinalize p = c_skein512_finalize p 224 + hashInternalInit p = c_skein512_init p 224 + hashInternalUpdate = c_skein512_update + hashInternalFinalize p = c_skein512_finalize p 224 -- | Skein512 (256 bits) cryptographic hash algorithm data Skein512_256 = Skein512_256 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Skein512_256 where - type HashBlockSize Skein512_256 = 64 - type HashDigestSize Skein512_256 = 32 + type HashBlockSize Skein512_256 = 64 + type HashDigestSize Skein512_256 = 32 type HashInternalContextSize Skein512_256 = 160 - hashBlockSize _ = 64 - hashDigestSize _ = 32 + hashBlockSize _ = 64 + hashDigestSize _ = 32 hashInternalContextSize _ = 160 - hashInternalInit p = c_skein512_init p 256 - hashInternalUpdate = c_skein512_update - hashInternalFinalize p = c_skein512_finalize p 256 + hashInternalInit p = c_skein512_init p 256 + hashInternalUpdate = c_skein512_update + hashInternalFinalize p = c_skein512_finalize p 256 -- | Skein512 (384 bits) cryptographic hash algorithm data Skein512_384 = Skein512_384 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Skein512_384 where - type HashBlockSize Skein512_384 = 64 - type HashDigestSize Skein512_384 = 48 + type HashBlockSize Skein512_384 = 64 + type HashDigestSize Skein512_384 = 48 type HashInternalContextSize Skein512_384 = 160 - hashBlockSize _ = 64 - hashDigestSize _ = 48 + hashBlockSize _ = 64 + hashDigestSize _ = 48 hashInternalContextSize _ = 160 - hashInternalInit p = c_skein512_init p 384 - hashInternalUpdate = c_skein512_update - hashInternalFinalize p = c_skein512_finalize p 384 + hashInternalInit p = c_skein512_init p 384 + hashInternalUpdate = c_skein512_update + hashInternalFinalize p = c_skein512_finalize p 384 -- | Skein512 (512 bits) cryptographic hash algorithm data Skein512_512 = Skein512_512 - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Skein512_512 where - type HashBlockSize Skein512_512 = 64 - type HashDigestSize Skein512_512 = 64 + type HashBlockSize Skein512_512 = 64 + type HashDigestSize Skein512_512 = 64 type HashInternalContextSize Skein512_512 = 160 - hashBlockSize _ = 64 - hashDigestSize _ = 64 + hashBlockSize _ = 64 + hashDigestSize _ = 64 hashInternalContextSize _ = 160 - hashInternalInit p = c_skein512_init p 512 - hashInternalUpdate = c_skein512_update - hashInternalFinalize p = c_skein512_finalize p 512 + hashInternalInit p = c_skein512_init p 512 + hashInternalUpdate = c_skein512_update + hashInternalFinalize p = c_skein512_finalize p 512 +-- | Skein512 with the digest size given as a type parameter of kind 'Nat', +-- in bits. @t'Skein512' 512@ is @t'Skein512_512'@; the sizes with a type of +-- their own +-- above are there for their names, and this one also takes the sizes that +-- have none. +-- +-- A size that is not a whole number of bytes is rounded up to the next one, +-- as the implementation underneath does. +-- +-- The output is produced in counter mode, a block of it per Threefish call, +-- so one large digest is a good deal cheaper than the same number of bytes +-- taken from repeated small ones: on an Apple M4, 512 KiB arrives at 947 MB/s +-- in one digest against 172 MB/s as 8192 separate @t'Skein512_512'@ ones. +-- +-- Note the digest size goes into the configuration block, so it changes the +-- value the message is hashed from: a longer digest is /not/ an extension of +-- a shorter one. That is the opposite of how t'Crypto.Hash.SHAKE.SHAKE128' +-- behaves. +data Skein512 (bitlen :: Nat) = Skein512 + deriving (Show, Data) + +instance KnownNat bitlen => HashAlgorithm (Skein512 bitlen) where + type HashBlockSize (Skein512 bitlen) = 64 + type HashDigestSize (Skein512 bitlen) = Div8 (bitlen + 7) + type HashInternalContextSize (Skein512 bitlen) = 160 + hashBlockSize _ = 64 + hashDigestSize _ = byteLen (Proxy :: Proxy bitlen) + hashInternalContextSize _ = 160 + hashInternalInit p = c_skein512_init p (integralNatVal (Proxy :: Proxy bitlen)) + hashInternalUpdate = c_skein512_update + hashInternalFinalize p = c_skein512_finalize p (integralNatVal (Proxy :: Proxy bitlen)) foreign import ccall unsafe "crypton_skein512_init" c_skein512_init :: Ptr (Context a) -> Word32 -> IO () diff --git a/Crypto/Hash/Tiger.hs b/Crypto/Hash/Tiger.hs --- a/Crypto/Hash/Tiger.hs +++ b/Crypto/Hash/Tiger.hs @@ -1,3 +1,8 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Hash.Tiger -- License : BSD-style @@ -7,35 +12,30 @@ -- -- Module containing the binding functions to work with the -- Tiger cryptographic hash. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.Tiger ( Tiger (..) ) where +module Crypto.Hash.Tiger (Tiger (..)) where -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) +import Crypto.Hash.Types +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) -- | Tiger cryptographic hash algorithm data Tiger = Tiger - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Tiger where - type HashBlockSize Tiger = 64 - type HashDigestSize Tiger = 24 + type HashBlockSize Tiger = 64 + type HashDigestSize Tiger = 24 type HashInternalContextSize Tiger = 96 - hashBlockSize _ = 64 - hashDigestSize _ = 24 + hashBlockSize _ = 64 + hashDigestSize _ = 24 hashInternalContextSize _ = 96 - hashInternalInit = c_tiger_init - hashInternalUpdate = c_tiger_update - hashInternalFinalize = c_tiger_finalize + hashInternalInit = c_tiger_init + hashInternalUpdate = c_tiger_update + hashInternalFinalize = c_tiger_finalize foreign import ccall unsafe "crypton_tiger_init" - c_tiger_init :: Ptr (Context a)-> IO () + c_tiger_init :: Ptr (Context a) -> IO () foreign import ccall "crypton_tiger_update" c_tiger_update :: Ptr (Context a) -> Ptr Word8 -> Word32 -> IO () diff --git a/Crypto/Hash/Types.hs b/Crypto/Hash/Types.hs --- a/Crypto/Hash/Types.hs +++ b/Crypto/Hash/Types.hs @@ -1,3 +1,10 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} +{-# LANGUAGE RoleAnnotations #-} +{-# LANGUAGE ScopedTypeVariables #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Hash.Types -- License : BSD-style @@ -6,31 +13,36 @@ -- Portability : unknown -- -- Crypto hash types definitions --- -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE ScopedTypeVariables #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.Types - ( HashAlgorithm(..) - , HashAlgorithmPrefix(..) - , Context(..) - , Digest(..) - ) where +module Crypto.Hash.Types ( + HashAlgorithm (..), + HashAlgorithmPrefix (..), + Context (..), + Digest (..), +) where -import Crypto.Internal.Imports -import Crypto.Internal.ByteArray (ByteArrayAccess, Bytes) +import Control.DeepSeq (deepseq) +import Control.Monad.Primitive (PrimMonad (..)) +import Control.Monad.ST +import Crypto.Internal.ByteArray (ByteArrayAccess (..), Bytes) import qualified Crypto.Internal.ByteArray as B -import Control.Monad.ST -import Data.Char (digitToInt, isHexDigit) -import Foreign.Ptr (Ptr) -import Basement.Block (Block, unsafeFreeze) -import Basement.Block.Mutable (MutableBlock, new, unsafeWrite) -import Basement.NormalForm (deepseq) -import Basement.Types.OffsetSize (CountOf(..), Offset(..)) -import GHC.TypeLits (Nat) -import Data.Data (Data) +import Crypto.Internal.Imports +import Data.Base16.Types (extractBase16) +import Data.ByteString (ByteString) +import Data.ByteString.Base16 (encodeBase16) +import Data.Char (digitToInt, isHexDigit) +import Data.Data (Data) +import Data.Primitive.ByteArray ( + ByteArray, + MutableByteArray, + newPinnedByteArray, + sizeofByteArray, + unsafeFreezeByteArray, + withByteArrayContents, + writeByteArray, + ) +import qualified Data.Text as Text +import Foreign.Ptr (Ptr, castPtr) +import GHC.TypeLits (Nat) -- | Class representing hashing algorithms. -- @@ -40,23 +52,30 @@ class HashAlgorithm a where -- | Associated type for the block size of the hash algorithm type HashBlockSize a :: Nat + -- | Associated type for the digest size of the hash algorithm type HashDigestSize a :: Nat + -- | Associated type for the internal context size of the hash algorithm type HashInternalContextSize a :: Nat -- | Get the block size of a hash algorithm - hashBlockSize :: a -> Int + hashBlockSize :: a -> Int + -- | Get the digest size of a hash algorithm - hashDigestSize :: a -> Int + hashDigestSize :: a -> Int + -- | Get the size of the context used for a hash algorithm hashInternalContextSize :: a -> Int - --hashAlgorithmFromProxy :: Proxy a -> a + -- hashAlgorithmFromProxy :: Proxy a -> a + -- | Initialize a context pointer to the initial state of a hash algorithm - hashInternalInit :: Ptr (Context a) -> IO () + hashInternalInit :: Ptr (Context a) -> IO () + -- | Update the context with some raw data - hashInternalUpdate :: Ptr (Context a) -> Ptr Word8 -> Word32 -> IO () + hashInternalUpdate :: Ptr (Context a) -> Ptr Word8 -> Word32 -> IO () + -- | Finalize the context and set the digest raw memory to the right value hashInternalFinalize :: Ptr (Context a) -> Ptr (Digest a) -> IO () @@ -65,11 +84,13 @@ -- | Update the context with the first N bytes of a buffer and finalize this -- context. The code path executed is independent from N and depends only -- on the complete buffer length. - hashInternalFinalizePrefix :: Ptr (Context a) - -> Ptr Word8 -> Word32 - -> Word32 - -> Ptr (Digest a) - -> IO () + hashInternalFinalizePrefix + :: Ptr (Context a) + -> Ptr Word8 + -> Word32 + -> Word32 + -> Ptr (Digest a) + -> IO () {- hashContextGetAlgorithm :: HashAlgorithm a => Context a -> a @@ -82,42 +103,75 @@ -- layout is architecture dependent, may contain uninitialized data fragments, -- and change in future versions. The bytearray should not be used as input to -- cryptographic algorithms. +-- +-- __A context is not erased when it is finished with.__ A hash algorithm +-- buffers its input a block at a time, and finalizing does not clear what is +-- left there. How much survives depends on where the message ended relative +-- to the block: with SHA-256, a 32-byte message is still in the context in +-- full afterwards, and a 100-byte one leaves its last 36 bytes. +-- @hashFinalize@ works on a copy, so the caller's own context keeps what it +-- had as well. Nothing clears either of them: this is 'Bytes' rather than +-- @ScrubbedBytes@, and the C clears nothing. They go to the garbage +-- collector as they are, and a core file, a crash dump or a swapped page can +-- carry them away afterwards. +-- +-- That is a deliberate trade rather than an oversight, and there is no way +-- to ask for the other side of it: no operation here clears a context. +-- Scrubbing them all was measured at about 70% of a 32-byte hash and a third +-- of an incremental one, because the allocation is most of the work when the +-- message is short -- and short hashes are the common case, in HMAC, in +-- HKDF, and anywhere a key or an identifier is hashed. A 64 KB hash does +-- not notice it. Anything that must not be left in memory this way is +-- better not hashed through this interface at all. newtype Context a = Context Bytes - deriving (ByteArrayAccess,NFData) + deriving (ByteArrayAccess, NFData) -- | Represent a digest for a given hash algorithm. -- -- This type is an instance of 'ByteArrayAccess' from package --- . +-- . -- Module "Data.ByteArray" provides many primitives to work with those values -- including conversion to other types. -- -- Creating a digest from a bytearray is also possible with function -- 'Crypto.Hash.digestFromByteString'. -newtype Digest a = Digest (Block Word8) - deriving (Eq,Ord,ByteArrayAccess, Data) +newtype Digest a = Digest ByteArray + deriving (Eq, Ord, Data) +type role Digest nominal + instance NFData (Digest a) where rnf (Digest u) = u `deepseq` () +instance ByteArrayAccess (Digest a) where + length (Digest ba) = sizeofByteArray ba + withByteArray (Digest ba) f = withByteArrayContents ba (f . castPtr) + instance Show (Digest a) where - show (Digest bs) = map (toEnum . fromIntegral) - $ B.unpack (B.convertToBase B.Base16 bs :: Bytes) + show d = + Text.unpack (extractBase16 $ encodeBase16 (B.convert d :: ByteString)) instance HashAlgorithm a => Read (Digest a) where - readsPrec _ str = runST $ do mut <- new (CountOf len) - loop mut len str + readsPrec _ str = runST $ do + mut <- newPinnedByteArray len + loop len mut len str where len = hashDigestSize (undefined :: a) - loop :: MutableBlock Word8 s -> Int -> String -> ST s [(Digest a, String)] - loop mut 0 cs = (\b -> [(Digest b, cs)]) <$> unsafeFreeze mut - loop _ _ [] = return [] - loop _ _ [_] = return [] - loop mut n (c:(d:ds)) - | not (isHexDigit c) = return [] - | not (isHexDigit d) = return [] - | otherwise = do - let w8 = fromIntegral $ digitToInt c * 16 + digitToInt d - unsafeWrite mut (Offset $ len - n) w8 - loop mut (n - 1) ds +loop + :: Int + -> MutableByteArray (PrimState (ST s)) + -> Int + -> String + -> ST s [(Digest a, String)] +loop _ mut 0 cs = (\b -> [(Digest b, cs)]) <$> unsafeFreezeByteArray mut +loop _ _ _ [] = return [] +loop _ _ _ [_] = return [] +loop len mut n (c : (d : ds)) + | not (isHexDigit c) = return [] + | not (isHexDigit d) = return [] + | otherwise = do + let w8 :: Word8 + w8 = fromIntegral $ digitToInt c * 16 + digitToInt d + writeByteArray mut (len - n) w8 + loop len mut (n - 1) ds diff --git a/Crypto/Hash/Whirlpool.hs b/Crypto/Hash/Whirlpool.hs --- a/Crypto/Hash/Whirlpool.hs +++ b/Crypto/Hash/Whirlpool.hs @@ -1,3 +1,8 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE TypeFamilies #-} + -- | -- Module : Crypto.Hash.Whirlpool -- License : BSD-style @@ -7,35 +12,30 @@ -- -- Module containing the binding functions to work with the -- Whirlpool cryptographic hash. --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.Hash.Whirlpool ( Whirlpool (..) ) where +module Crypto.Hash.Whirlpool (Whirlpool (..)) where -import Crypto.Hash.Types -import Foreign.Ptr (Ptr) -import Data.Data -import Data.Word (Word8, Word32) +import Crypto.Hash.Types +import Data.Data +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr) -- | Whirlpool cryptographic hash algorithm data Whirlpool = Whirlpool - deriving (Show,Data) + deriving (Show, Data) instance HashAlgorithm Whirlpool where - type HashBlockSize Whirlpool = 64 - type HashDigestSize Whirlpool = 64 + type HashBlockSize Whirlpool = 64 + type HashDigestSize Whirlpool = 64 type HashInternalContextSize Whirlpool = 168 - hashBlockSize _ = 64 - hashDigestSize _ = 64 + hashBlockSize _ = 64 + hashDigestSize _ = 64 hashInternalContextSize _ = 168 - hashInternalInit = c_whirlpool_init - hashInternalUpdate = c_whirlpool_update - hashInternalFinalize = c_whirlpool_finalize + hashInternalInit = c_whirlpool_init + hashInternalUpdate = c_whirlpool_update + hashInternalFinalize = c_whirlpool_finalize foreign import ccall unsafe "crypton_whirlpool_init" - c_whirlpool_init :: Ptr (Context a)-> IO () + c_whirlpool_init :: Ptr (Context a) -> IO () foreign import ccall "crypton_whirlpool_update" c_whirlpool_update :: Ptr (Context a) -> Ptr Word8 -> Word32 -> IO () diff --git a/Crypto/Internal/Builder.hs b/Crypto/Internal/Builder.hs --- a/Crypto/Internal/Builder.hs +++ b/Crypto/Internal/Builder.hs @@ -1,3 +1,5 @@ +{-# LANGUAGE BangPatterns #-} + -- | -- Module : Crypto.Internal.Builder -- License : BSD-style @@ -8,31 +10,30 @@ -- Delaying and merging ByteArray allocations. This is similar to module -- "Data.ByteArray.Pack" except the total length is computed automatically based -- on what is appended. --- -{-# LANGUAGE BangPatterns #-} -module Crypto.Internal.Builder - ( Builder - , buildAndFreeze - , builderLength - , byte - , bytes - , zero - ) where +module Crypto.Internal.Builder ( + Builder, + buildAndFreeze, + builderLength, + byte, + bytes, + zero, +) where -import Data.ByteArray (ByteArray, ByteArrayAccess) +import Data.ByteArray (ByteArray, ByteArrayAccess) import qualified Data.ByteArray as B -import Data.Memory.PtrMethods (memSet) +import Data.Memory.PtrMethods (memSet) -import Foreign.Ptr (Ptr, plusPtr) -import Foreign.Storable (poke) +import Foreign.Ptr (Ptr, plusPtr) +import Foreign.Storable (poke) -import Crypto.Internal.Imports hiding (empty) +import Crypto.Internal.Imports hiding (empty) -data Builder = Builder !Int (Ptr Word8 -> IO ()) -- size and initializer +data Builder = Builder !Int (Ptr Word8 -> IO ()) -- size and initializer instance Semigroup Builder where (Builder s1 f1) <> (Builder s2 f2) = Builder (s1 + s2) f - where f p = f1 p >> f2 (p `plusPtr` s1) + where + f p = f1 p >> f2 (p `plusPtr` s1) builderLength :: Builder -> Int builderLength (Builder s _) = s diff --git a/Crypto/Internal/ByteArray.hs b/Crypto/Internal/ByteArray.hs --- a/Crypto/Internal/ByteArray.hs +++ b/Crypto/Internal/ByteArray.hs @@ -1,3 +1,6 @@ +{-# LANGUAGE BangPatterns #-} +{-# OPTIONS_HADDOCK hide #-} + -- | -- Module : Crypto.Internal.ByteArray -- License : BSD-style @@ -6,34 +9,115 @@ -- Portability : Good -- -- Simple and efficient byte array types --- -{-# LANGUAGE BangPatterns #-} -{-# OPTIONS_HADDOCK hide #-} -module Crypto.Internal.ByteArray - ( module Data.ByteArray - , module Data.ByteArray.Mapping - , module Data.ByteArray.Encoding - , constAllZero - ) where +module Crypto.Internal.ByteArray ( + module Data.ByteArray, + module Data.ByteArray.Mapping, + module Data.ByteArray.Encoding, + constAllZero, + overCLength, + inCLengths, + allocAndFreezePrimIO, + allocAndFreezePrim, + bxor, +) where import Data.ByteArray -import Data.ByteArray.Mapping import Data.ByteArray.Encoding +import Data.ByteArray.Mapping import Data.Bits ((.|.)) -import Data.Word (Word8) -import Foreign.Ptr (Ptr) +import qualified Data.Primitive.ByteArray as Prim +import Data.Word (Word32, Word8) +import Foreign.Ptr (Ptr, castPtr) import Foreign.Storable (peekByteOff) import Crypto.Internal.Compat (unsafeDoIO) +-- | Whether a length is too large to reach the C, which takes its lengths as +-- @uint32_t@. +-- +-- From 2^32 up the value is truncated on the way down, and the C then works +-- on the low bits of it and leaves the rest of the buffer as it found it -- +-- which for a fresh allocation is zeros. What comes back is as long as the +-- caller asked for, with nothing to say that most of it was never written: +-- a 4 GiB message through Crypto.Cipher.ChaCha.combine came back with 2^32 +-- bytes of zeros where the ciphertext should have been. +-- +-- Every place that hands a caller's length to the C either turns it away +-- with this or cuts the work into pieces small enough to pass. +-- +-- The round trip through 'Word32' rather than a comparison against 2^32, +-- which a 32-bit 'Int' cannot hold. There every non-negative 'Int' passes, +-- which is the right answer: there is no such buffer to be had. +overCLength :: Int -> Bool +overCLength n = fromIntegral (fromIntegral n :: Word32) /= n + +-- | Walk a length in pieces small enough to reach the C, calling the action +-- with the offset and the size of each. +-- +-- The same 2 GiB step "Crypto.Hash" has always taken, and for the same +-- reason: the C takes its lengths as @uint32_t@, and a 32-bit 'Int' cannot +-- hold a whole one either. This is for the C that keeps its state in a +-- context and can simply be called again -- the stream ciphers, the MACs -- +-- where a long message can be enciphered in pieces rather than refused. +inCLengths :: Int -> (Int -> Int -> IO ()) -> IO () +inCLengths total f = go 0 + where + go !off + | off >= total = return () + | otherwise = f off n >> go (off + n) + where + !n = min (total - off) cChunk + +-- | The step 'inCLengths' takes: the largest multiple of 64 that a signed +-- 32-bit integer holds. +-- +-- Under 2^31 because a 32-bit 'Int' cannot hold more, and a +-- multiple of 64 because some of the C this feeds -- the AEAD modes -- will +-- take a piece that is not a whole number of blocks only as the last one. +cChunk :: Int +cChunk = 0x7fffffc0 + +-- | Allocate a pinned 'Prim.ByteArray' of the given size, populate it via a +-- 'Ptr', then freeze and return it. The pointer must not be retained after +-- the action returns. +allocAndFreezePrimIO :: Int -> (Ptr p -> IO ()) -> IO Prim.ByteArray +allocAndFreezePrimIO n f = do + mba <- Prim.newPinnedByteArray n + f (castPtr (Prim.mutableByteArrayContents mba)) + Prim.unsafeFreezeByteArray mba + +-- | The allocation is strictly local, +-- the computation is deterministic, and no IO effects escape. +allocAndFreezePrim :: Int -> (Ptr p -> IO ()) -> Prim.ByteArray +allocAndFreezePrim n = unsafeDoIO . allocAndFreezePrimIO n + constAllZero :: ByteArrayAccess ba => ba -> Bool constAllZero b = unsafeDoIO $ withByteArray b $ \p -> loop p 0 0 where loop :: Ptr b -> Int -> Word8 -> IO Bool loop p i !acc - | i == len = return $! acc == 0 + | i == len = return $! acc == 0 | otherwise = do e <- peekByteOff p i - loop p (i+1) (acc .|. e) + loop p (i + 1) (acc .|. e) len = Data.ByteArray.length b + +-- | @a@ exclusive-ored with @b@, as long as the shorter of the two. +-- +-- 'Data.ByteArray.xor' does this a byte at a time through an IO applicative, +-- which allocates about fifty bytes of heap for every byte it produces. That +-- is more than a block cipher costs: it was four fifths of the time counter +-- mode spent on anything but AES, whose modes are in C and do not come this +-- way. +bxor :: (ByteArrayAccess a, ByteArrayAccess b, ByteArray c) => a -> b -> c +bxor a b = unsafeDoIO $ + alloc n $ \pd -> + withByteArray a $ \pa -> + withByteArray b $ \pb -> + c_memxor pd pa pb (fromIntegral n) + where + n = min (Data.ByteArray.length a) (Data.ByteArray.length b) + +foreign import ccall unsafe "crypton_memxor.h crypton_memxor" + c_memxor :: Ptr Word8 -> Ptr Word8 -> Ptr Word8 -> Word32 -> IO () diff --git a/Crypto/Internal/Compat.hs b/Crypto/Internal/Compat.hs --- a/Crypto/Internal/Compat.hs +++ b/Crypto/Internal/Compat.hs @@ -1,3 +1,5 @@ +{-# LANGUAGE CPP #-} + -- | -- Module : Crypto.Internal.Compat -- License : BSD-style @@ -7,17 +9,15 @@ -- -- This module tries to keep all the difference between versions of base -- or other needed packages, so that modules don't need to use CPP. --- -{-# LANGUAGE CPP #-} -module Crypto.Internal.Compat - ( unsafeDoIO - , popCount - , byteSwap64 - ) where +module Crypto.Internal.Compat ( + unsafeDoIO, + popCount, + byteSwap64, +) where -import System.IO.Unsafe -import Data.Word import Data.Bits +import Data.Word +import System.IO.Unsafe -- | Perform io for hashes that do allocation and FFI. -- 'unsafeDupablePerformIO' is used when possible as the diff --git a/Crypto/Internal/CompatPrim.hs b/Crypto/Internal/CompatPrim.hs --- a/Crypto/Internal/CompatPrim.hs +++ b/Crypto/Internal/CompatPrim.hs @@ -1,3 +1,8 @@ +{-# LANGUAGE BangPatterns #-} +{-# LANGUAGE CPP #-} +{-# LANGUAGE MagicHash #-} +{-# LANGUAGE UnboxedTuples #-} + -- | -- Module : Crypto.Internal.CompatPrim -- License : BSD-style @@ -10,27 +15,22 @@ -- -- Note that MagicHash and CPP conflicts in places, making it "more interesting" -- to write compat code for primitives. --- -{-# LANGUAGE CPP #-} -{-# LANGUAGE BangPatterns #-} -{-# LANGUAGE MagicHash #-} -{-# LANGUAGE UnboxedTuples #-} -module Crypto.Internal.CompatPrim - ( be32Prim - , le32Prim - , byteswap32Prim - , booleanPrim - , convert4To32 - ) where +module Crypto.Internal.CompatPrim ( + be32Prim, + le32Prim, + byteswap32Prim, + booleanPrim, + convert4To32, +) where #if !defined(ARCH_IS_LITTLE_ENDIAN) && !defined(ARCH_IS_BIG_ENDIAN) import Data.Memory.Endian (getSystemEndianness, Endianness(..)) #endif #if __GLASGOW_HASKELL__ >= 902 -import GHC.Prim +import GHC.Exts #else -import GHC.Prim hiding (Word32#) +import GHC.Exts hiding (Word32#) type Word32# = Word# #endif @@ -68,8 +68,12 @@ #endif -- | Combine 4 word8 [a,b,c,d] to a word32 representing [a,b,c,d] -convert4To32 :: Word# -> Word# -> Word# -> Word# - -> Word# +convert4To32 + :: Word# + -> Word# + -> Word# + -> Word# + -> Word# convert4To32 a b c d = or# (or# c1 c2) (or# c3 c4) where #ifdef ARCH_IS_LITTLE_ENDIAN diff --git a/Crypto/Internal/DeepSeq.hs b/Crypto/Internal/DeepSeq.hs --- a/Crypto/Internal/DeepSeq.hs +++ b/Crypto/Internal/DeepSeq.hs @@ -1,3 +1,5 @@ +{-# LANGUAGE CPP #-} + -- | -- Module : Crypto.Internal.DeepSeq -- License : BSD-style @@ -8,11 +10,9 @@ -- Simple abstraction module to allow compilation without deepseq -- by defining our own NFData class if not compiling with deepseq -- support. --- -{-# LANGUAGE CPP #-} -module Crypto.Internal.DeepSeq - ( NFData(..) - ) where +module Crypto.Internal.DeepSeq ( + NFData (..), +) where #ifdef WITH_DEEPSEQ_SUPPORT import Control.DeepSeq diff --git a/Crypto/Internal/ECC.hs b/Crypto/Internal/ECC.hs new file mode 100644 --- /dev/null +++ b/Crypto/Internal/ECC.hs @@ -0,0 +1,524 @@ +{-# LANGUAGE BangPatterns #-} + +-- | +-- Module : Crypto.Internal.ECC +-- License : BSD-style +-- Maintainer : Kazu Yamamoto +-- Stability : experimental +-- Portability : Good +-- +-- The C scalar multiplication for curves over a prime field, which both of +-- the elliptic curve APIs reach for. +module Crypto.Internal.ECC ( + MulResult (..), + CurveField (..), + curveMul, + primeCurveMul, + primeCurveTableMul, + baseTable, + binaryCurveMul, + binaryCurveC, +) where + +import Crypto.Internal.Compat (unsafeDoIO) +import Crypto.Number.Basic (numBits, numBytes) +import Crypto.Number.F2m (addF2m, divF2m, mulF2m, squareF2m) +import qualified Crypto.Number.Serialize.Internal as Internal +import Crypto.PubKey.ECC.Types ( + Curve (..), + CurveCommon (..), + CurveName, + CurvePrime (..), + Point (..), + getCurveByName, + ) +import Data.Bits (testBit) +import Data.Word (Word32, Word8) +import Foreign.C.Types (CInt (..)) +import Foreign.ForeignPtr (ForeignPtr, mallocForeignPtrBytes, withForeignPtr) +import Foreign.Marshal.Alloc (allocaBytes) +import Foreign.Ptr (Ptr, plusPtr) + +-- | What the C made of it. +data MulResult + = -- | the point it arrived at + MulPoint !Integer !Integer + | -- | the point at infinity, which has no coordinates + MulInfinity + | -- | not something the C works with, so the caller has to + MulUnsupported + deriving (Show, Eq) + +-- | Multiply a point by a scalar on the curve @y^2 = x^3 + a*x + b@ over the +-- field of @p@, which has to be an odd prime. The point has to be on the +-- curve and not the point at infinity, and its coordinates, @a@ and @b@ have +-- to be under @p@; the caller has all of that to hand and the C does not +-- check it. +-- +-- The scalar is walked four bits at a time over the whole of the width asked +-- for, so its value is hidden but that width is not. Ask for the width of +-- the curve's order, which is public, and every scalar in range costs the +-- same. +primeCurveMul + :: Integer + -- ^ p + -> Integer + -- ^ a + -> Integer + -- ^ b + -> Int + -- ^ how many bytes of scalar to walk + -> Integer + -- ^ the scalar + -> Integer + -- ^ the point's x + -> Integer + -- ^ the point's y + -> MulResult +primeCurveMul p a b klen k px py + | p <= 0 || even p || klen <= 0 || k < 0 = MulUnsupported + | otherwise = unsafeDoIO $ + allocaBytes (sum widths) $ \base -> case scanl plusPtr base widths of + (outx : outy : cx : cy : ca : cb : cp : ck : _) -> do + _ <- Internal.i2ospOf px cx plen + _ <- Internal.i2ospOf py cy plen + _ <- Internal.i2ospOf a ca plen + _ <- Internal.i2ospOf b cb plen + _ <- Internal.i2ospOf p cp plen + _ <- Internal.i2ospOf k ck klen + r <- + c_ecc_mul + outx + outy + cx + cy + ck + (fromIntegral klen) + ca + cb + cp + (fromIntegral plen) + -- the scalar is the caller's secret, and this is the last place + -- it is written out in the clear + Internal.i2ospOf 0 ck klen >> return () + case r of + 0 -> do + !x <- Internal.os2ip outx plen + !y <- Internal.os2ip outy plen + return (MulPoint x y) + 1 -> return MulInfinity + _ -> return MulUnsupported + _ -> return MulUnsupported -- there are eight, but say so anyway + where + !plen = numBytes p + -- What the buffer holds, in this order: the two coordinates out, the two + -- in, a, b, the prime, and the scalar. The room to take and where each + -- one starts both come from here, so they cannot drift apart. + -- + -- They did once, and nothing caught it: the memory is a pinned array on + -- the GHC heap, so writing past it is invisible to valgrind, which sees + -- one large allocation, and to the sanity checks of the debug RTS, which + -- found nothing when the mistake was put back to try them. One runner + -- out of eighteen died of it and the rest went green. The way to be + -- right about this is not to have two numbers to keep the same. + widths = [plen, plen, plen, plen, plen, plen, plen, klen] + +foreign import ccall unsafe "crypton_ecc_table_size" + c_ecc_table_size :: Word32 -> Word32 -> Word32 + +foreign import ccall safe "crypton_ecc_table_build" + c_ecc_table_build + :: Ptr Word8 + -> Ptr Word8 + -> Ptr Word8 + -> Word32 + -> Ptr Word8 + -> Ptr Word8 + -> Ptr Word8 + -> Word32 + -> IO CInt + +foreign import ccall safe "crypton_ecc_table_mul" + c_ecc_table_mul + :: Ptr Word8 + -> Ptr Word8 + -> Ptr Word8 + -> Ptr Word8 + -> Word32 + -> Ptr Word8 + -> Ptr Word8 + -> Ptr Word8 + -> Word32 + -> IO CInt + +foreign import ccall safe "crypton_ecc_mul" + c_ecc_mul + :: Ptr Word8 + -> Ptr Word8 + -> Ptr Word8 + -> Ptr Word8 + -> Ptr Word8 + -> Word32 + -> Ptr Word8 + -> Ptr Word8 + -> Ptr Word8 + -> Word32 + -> IO CInt + +-- | What a curve is made of, as much of it as a multiplication needs. +data CurveField + = -- | over a prime field: the prime, a and b + Prime !Integer !Integer !Integer + | -- | over a binary field: the polynomial and b + Binary !Integer !Integer + deriving (Show, Eq) + +-- | Multiply a point by a scalar, through the C wherever the C takes it. +-- +-- Both elliptic curve APIs come here, so that the decision -- the table for a +-- base point, the C for anything else, what is left over -- is made once and +-- in one place. One of those APIs cannot be reached from outside the library +-- on a curve over a binary field, and this is how that copy stays the same +-- code as the copy everybody runs. +-- +-- The caller has seen to it that the point is on the curve, which is what the +-- C takes for granted, and deals with 'MulUnsupported' in whatever way it +-- has. +curveMul + :: CurveField + -> Integer + -- ^ the order of the curve + -> Integer + -- ^ the scalar + -> Integer + -- ^ the point's x + -> Integer + -- ^ the point's y + -> Bool + -- ^ whether that point is the curve's base point + -> MulResult +curveMul field order k px py isBase = case field of + Prime p a b + | isBase + , klen == numBytes order + , Just table <- baseTable p a b klen px py -> + primeCurveTableMul table p a b klen k + | otherwise -> primeCurveMul p a b klen k px py + Binary fx b + | px == 0 -> MulUnsupported -- its own negation, and easier the long way + | otherwise -> case binaryCurveC fx b klen k px py of + -- the ladder in Haskell, for a field the C will not take + MulUnsupported -> binaryCurveMul fx b (klen * 8) k px py + r -> r + where + -- Walk the width of the order, which is public, so a scalar in range -- + -- which is every secret one -- costs the same whatever it is. A scalar + -- may still be given out of range, and then the width has to follow it or + -- the high bits would be dropped. + !klen = max (numBytes k) (numBytes order) + +-- | The table for the base point of a curve the library knows, which is the +-- point signing and making a key multiply and the only point worth keeping a +-- table for. The curves are told apart by their numbers, which are public, +-- so both of the elliptic curve APIs find the same table. +-- +-- Each is built when it is first wanted and kept for as long as the program +-- runs, and a curve nobody multiplies the base point of never has one built. +-- Building costs 2.8 ms for secp256k1, 5.5 for secp384r1 and 10.6 for +-- secp521r1, and the last two take 221 KB and 456 KB. A multiplication with +-- the table takes about a third of what one without it takes, so the build +-- pays for itself after about fifteen of them: a program that signs many +-- times wins, and one that signs once and exits does not. +baseTable + :: Integer + -- ^ p + -> Integer + -- ^ a + -> Integer + -- ^ b + -> Int + -- ^ how many bytes of scalar are wanted + -> Integer + -- ^ the base point's x + -> Integer + -- ^ the base point's y + -> Maybe (ForeignPtr Word8) +baseTable p a b klen gx gy = + case lookup (p, a, b, klen, gx, gy) baseTables of + Just table -> table + Nothing -> Nothing + +type TableKey = (Integer, Integer, Integer, Int, Integer, Integer) + +baseTables :: [(TableKey, Maybe (ForeignPtr Word8))] +baseTables = + [ ((p, a, b, klen, gx, gy), primeCurveTable p a b klen gx gy) + | name <- [minBound .. maxBound] :: [CurveName] + , CurveFP (CurvePrime p cc) <- [getCurveByName name] + , Point gx gy <- [ecc_g cc] + , let a = ecc_a cc + , let b = ecc_b cc + , let klen = numBytes (ecc_n cc) + ] +{-# NOINLINE baseTables #-} + +-- | The multiples of a point that 'primeCurveTableMul' wants: for every four +-- bits of a scalar, the sixteen points those bits can call for. Building it +-- costs a few thousand point operations, and what it saves is all the +-- doublings of every multiplication that uses it, so it is worth keeping for +-- as long as the point is -- which for a curve's base point is forever. +-- +-- The arguments are as for 'primeCurveMul'. 'Nothing' means the C would not +-- take them. +primeCurveTable + :: Integer + -- ^ p + -> Integer + -- ^ a + -> Integer + -- ^ b + -> Int + -- ^ how many bytes of scalar the table is to cover + -> Integer + -- ^ the point's x + -> Integer + -- ^ the point's y + -> Maybe (ForeignPtr Word8) +primeCurveTable p a b klen px py + | p <= 0 || even p || klen <= 0 || size == 0 = Nothing + | otherwise = unsafeDoIO $ do + table <- mallocForeignPtrBytes (fromIntegral size) + allocaBytes (sum widths) $ \base -> case scanl plusPtr base widths of + (cx : cy : ca : cb : cp : _) -> do + _ <- Internal.i2ospOf px cx plen + _ <- Internal.i2ospOf py cy plen + _ <- Internal.i2ospOf a ca plen + _ <- Internal.i2ospOf b cb plen + _ <- Internal.i2ospOf p cp plen + r <- withForeignPtr table $ \t -> + c_ecc_table_build + t + cx + cy + (fromIntegral klen) + ca + cb + cp + (fromIntegral plen) + return $ if r == 0 then Just table else Nothing + _ -> return Nothing -- there are five, but say so anyway + where + !plen = numBytes p + !size = c_ecc_table_size (fromIntegral plen) (fromIntegral klen) + -- the point, a, b and the prime, all of the prime's width. The room to + -- take and where each one starts both come from here, so they cannot + -- drift apart: they did once, and nothing caught it -- see the note on + -- primeCurveMul. + widths = [plen, plen, plen, plen, plen] + +-- | Multiply the point a table was built for by a scalar of the width the +-- table was built for. One addition for every four bits and no doublings. +primeCurveTableMul + :: ForeignPtr Word8 + -- ^ the table + -> Integer + -- ^ p + -> Integer + -- ^ a + -> Integer + -- ^ b + -> Int + -- ^ the width the table was built for + -> Integer + -- ^ the scalar + -> MulResult +primeCurveTableMul table p a b klen k + | p <= 0 || even p || klen <= 0 || k < 0 = MulUnsupported + | otherwise = unsafeDoIO $ + allocaBytes (sum widths) $ \base -> case scanl plusPtr base widths of + (outx : outy : ca : cb : cp : ck : _) -> do + _ <- Internal.i2ospOf a ca plen + _ <- Internal.i2ospOf b cb plen + _ <- Internal.i2ospOf p cp plen + _ <- Internal.i2ospOf k ck klen + r <- withForeignPtr table $ \t -> + c_ecc_table_mul + outx + outy + t + ck + (fromIntegral klen) + ca + cb + cp + (fromIntegral plen) + Internal.i2ospOf 0 ck klen >> return () + case r of + 0 -> do + !x <- Internal.os2ip outx plen + !y <- Internal.os2ip outy plen + return (MulPoint x y) + 1 -> return MulInfinity + _ -> return MulUnsupported + _ -> return MulUnsupported -- there are six, but say so anyway + where + !plen = numBytes p + widths = [plen, plen, plen, plen, plen, klen] + +-- | Multiply a point by a scalar on the curve @y^2 + x*y = x^3 + a*x^2 + b@ +-- over the binary field of @fx@, by Montgomery's ladder. +-- +-- The ladder carries the multiples of two consecutive numbers, whose +-- difference is therefore the point itself, and every bit of the scalar costs +-- one addition and one doubling of them whichever way it goes. Only the x +-- coordinates are carried -- the difference being known is what lets them be +-- -- and the y is worked out at the end from the two of them, which is what +-- makes the coordinates projective: one division for the whole +-- multiplication rather than one for every step. +-- +-- The point has to be on the curve and to have an x, which is what the +-- caller has to hand: the one point with no x is its own negation and is +-- easier multiplied the long way. The scalar is walked over the whole of +-- the width asked for, so its value is hidden but that width is not. +binaryCurveMul + :: Integer + -- ^ the polynomial the field is over + -> Integer + -- ^ b + -> Int + -- ^ how many bits of scalar to walk + -> Integer + -- ^ the scalar + -> Integer + -- ^ the point's x + -> Integer + -- ^ the point's y + -> MulResult +binaryCurveMul fx b bits k x y + | bits <= 0 || k < 0 || x == 0 = MulUnsupported + | otherwise = recover (go (bits - 1) (1, 0) (x, 1)) + where + infixl 6 .+. + (.+.) = addF2m + sqr = squareF2m fx + mul = mulF2m fx + + -- The two of them added, which the difference between them being the + -- point makes possible from their x coordinates alone. It does not + -- matter which way round they come. + madd (xa, za) (xb, zb) = + let t1 = mul xa zb + t2 = mul xb za + z = sqr (t1 .+. t2) + in (mul x z .+. mul t1 t2, z) + + -- One of them doubled. + mdouble (xa, za) = + let xa2 = sqr xa + za2 = sqr za + in (sqr xa2 .+. mul b (sqr za2), mul xa2 za2) + + -- Nothing is at infinity to begin with and the point is next to it, and + -- from there each bit takes the pair to twice where it was. The bangs + -- are what make both halves happen: without them the one the bit does not + -- call for would stay a thunk, and the work would follow the scalar. + go i p1 p2 + | i < 0 = (p1, p2) + | testBit k i = + let !s = madd p1 p2 + !d = mdouble p2 + in go (i - 1) s d + | otherwise = + let !s = madd p1 p2 + !d = mdouble p1 + in go (i - 1) d s + + -- x1 is the answer and x2 is one point further on; together with the + -- point they give the y that the ladder does not carry. + recover ((x1, z1), (x2, z2)) + | z1 == 0 = MulInfinity -- the multiple is at infinity + | z2 == 0 = MulPoint x (x .+. y) -- the one after it is, so this is -P + | otherwise = case (divF2m fx x1 z1, divF2m fx x2 z2) of + (Just xa, Just xb) -> + let u = xa .+. x + v = xb .+. x + inner = mul u v .+. sqr x .+. y + in case divF2m fx (mul u inner) x of + Just w -> MulPoint xa (w .+. y) + Nothing -> MulUnsupported + _ -> MulUnsupported + +-- | Multiply a point by a scalar on a curve over a binary field, in C. +-- +-- The ladder is the same one 'binaryCurveMul' walks, but the field arithmetic +-- is carry-less multiplication -- the processor's where it has it, and four +-- interleaved groups of bits where it does not -- rather than 'Integer' +-- shifts and exclusive ors, and nothing in it branches on the scalar or +-- indexes memory with it. +-- +-- The point has to be on the curve and to have an x, and the scalar is walked +-- over the whole of the width asked for, as for 'primeCurveMul'. +binaryCurveC + :: Integer + -- ^ the polynomial the field is over + -> Integer + -- ^ b + -> Int + -- ^ how many bytes of scalar to walk + -> Integer + -- ^ the scalar + -> Integer + -- ^ the point's x + -> Integer + -- ^ the point's y + -> MulResult +binaryCurveC fx b klen k px py + | fx <= 1 || klen <= 0 || k < 0 || px <= 0 || flen <= 0 = MulUnsupported + | otherwise = unsafeDoIO $ + allocaBytes (sum widths) $ \base -> case scanl plusPtr base widths of + (outx : outy : cx : cy : cb : cf : ck : _) -> do + _ <- Internal.i2ospOf px cx flen + _ <- Internal.i2ospOf py cy flen + _ <- Internal.i2ospOf b cb flen + _ <- Internal.i2ospOf fx cf fxlen + _ <- Internal.i2ospOf k ck klen + r <- + c_f2m_mul + outx + outy + cx + cy + ck + (fromIntegral klen) + cb + (fromIntegral flen) + cf + (fromIntegral fxlen) + Internal.i2ospOf 0 ck klen >> return () + case r of + 0 -> do + !x <- Internal.os2ip outx flen + !y <- Internal.os2ip outy flen + return (MulPoint x y) + 1 -> return MulInfinity + _ -> return MulUnsupported + _ -> return MulUnsupported -- there are seven, but say so anyway + where + -- the field is the degree of the polynomial, which is one under its width + !flen = (numBits fx - 1 + 7) `div` 8 + !fxlen = numBytes fx + widths = [flen, flen, flen, flen, flen, fxlen, klen] + +foreign import ccall safe "crypton_f2m_mul" + c_f2m_mul + :: Ptr Word8 + -> Ptr Word8 + -> Ptr Word8 + -> Ptr Word8 + -> Ptr Word8 + -> Word32 + -> Ptr Word8 + -> Word32 + -> Ptr Word8 + -> Word32 + -> IO CInt diff --git a/Crypto/Internal/Endian.hs b/Crypto/Internal/Endian.hs new file mode 100644 --- /dev/null +++ b/Crypto/Internal/Endian.hs @@ -0,0 +1,43 @@ +{-# LANGUAGE CPP #-} + +-- | +-- Module : Crypto.Internal.Endian +-- License : BSD-style +-- Maintainer : Vincent Hanquez +-- Stability : stable +-- Portability : good +module Crypto.Internal.Endian ( + fromBE64, + toBE64, + fromLE64, + toLE64, +) where + +import Crypto.Internal.Compat (byteSwap64) +import Data.Word (Word64) + +#ifdef ARCH_IS_LITTLE_ENDIAN +fromLE64 :: Word64 -> Word64 +fromLE64 = id + +toLE64 :: Word64 -> Word64 +toLE64 = id + +fromBE64 :: Word64 -> Word64 +fromBE64 = byteSwap64 + +toBE64 :: Word64 -> Word64 +toBE64 = byteSwap64 +#else +fromLE64 :: Word64 -> Word64 +fromLE64 = byteSwap64 + +toLE64 :: Word64 -> Word64 +toLE64 = byteSwap64 + +fromBE64 :: Word64 -> Word64 +fromBE64 = id + +toBE64 :: Word64 -> Word64 +toBE64 = id +#endif diff --git a/Crypto/Internal/Imports.hs b/Crypto/Internal/Imports.hs --- a/Crypto/Internal/Imports.hs +++ b/Crypto/Internal/Imports.hs @@ -1,20 +1,20 @@ +{-# LANGUAGE CPP #-} + -- | -- Module : Crypto.Internal.Imports -- License : BSD-style -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : unknown --- -{-# LANGUAGE CPP #-} -module Crypto.Internal.Imports - ( module X - ) where +module Crypto.Internal.Imports ( + module X, +) where -import Data.Word as X +import Data.Word as X #if !(MIN_VERSION_base(4,11,0)) import Data.Semigroup as X (Semigroup(..)) #endif -import Control.Applicative as X -import Control.Monad as X (forM, forM_, void) -import Control.Arrow as X (first, second) +import Control.Applicative as X +import Control.Arrow as X (first, second) +import Control.Monad as X (forM, forM_, void) import Crypto.Internal.DeepSeq as X diff --git a/Crypto/Internal/Nat.hs b/Crypto/Internal/Nat.hs --- a/Crypto/Internal/Nat.hs +++ b/Crypto/Internal/Nat.hs @@ -33,7 +33,7 @@ IsLE bitlen n 'False = 'False #endif --- | ensure the given `bitlen` is lesser or equal to `n` +-- | ensure the given @bitlen@ is lesser or equal to @n@ -- type IsAtMost (bitlen :: Nat) (n :: Nat) = IsLE bitlen n (bitlen <=? n) ~ 'True @@ -48,7 +48,7 @@ IsGE bitlen n 'False = 'False #endif --- | ensure the given `bitlen` is greater or equal to `n` +-- | ensure the given @bitlen@ is greater or equal to @n@ -- type IsAtLeast (bitlen :: Nat) (n :: Nat) = IsGE bitlen n (n <=? bitlen) ~ 'True @@ -208,6 +208,6 @@ Mod8 63 = 7 Mod8 n = Mod8 (n - 64) --- | ensure the given `bitlen` is divisible by 8 +-- | ensure the given @bitlen@ is divisible by 8 -- type IsDivisibleBy8 bitLen = IsDiv8 bitLen bitLen ~ 'True diff --git a/Crypto/Internal/Poly1305.hs b/Crypto/Internal/Poly1305.hs new file mode 100644 --- /dev/null +++ b/Crypto/Internal/Poly1305.hs @@ -0,0 +1,37 @@ +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + +-- | +-- Module : Crypto.Internal.Poly1305 +-- License : BSD-style +-- Maintainer : Kazu Yamamoto +-- Stability : experimental +-- Portability : unknown +-- +-- The Poly1305 key with its constructor, for the modules here that build one +-- from bytes whose length they already know. "Crypto.MAC.Poly1305" exports +-- the type without the constructor, so that outside this library a key can +-- only be made by 'key', which checks. +module Crypto.Internal.Poly1305 ( + Key (..), + key, +) where + +import Crypto.Error +import Crypto.Internal.ByteArray (ByteArrayAccess, ScrubbedBytes) +import qualified Crypto.Internal.ByteArray as B +import Crypto.Internal.DeepSeq + +-- | A Poly1305 key: thirty-two bytes, and the length is checked here rather +-- than at every use. 'Crypto.MAC.Poly1305.initialize' and +-- 'Crypto.MAC.Poly1305.auth' take one of these and cannot fail, so a caller +-- that holds a key does not carry an error case for a length it already knows +-- is right. +newtype Key = Key ScrubbedBytes + deriving (ByteArrayAccess, Eq, NFData) + +-- | Take thirty-two bytes for a key. A different length is reported as +-- 'CryptoError_MacKeyInvalid'; nothing else about a key can be wrong. +key :: ByteArrayAccess ba => ba -> CryptoFailable Key +key k + | B.length k /= 32 = CryptoFailed CryptoError_MacKeyInvalid + | otherwise = CryptoPassed $ Key $ B.convert k diff --git a/Crypto/Internal/WordArray.hs b/Crypto/Internal/WordArray.hs --- a/Crypto/Internal/WordArray.hs +++ b/Crypto/Internal/WordArray.hs @@ -1,3 +1,7 @@ +{-# LANGUAGE BangPatterns #-} +{-# LANGUAGE MagicHash #-} +{-# LANGUAGE UnboxedTuples #-} + -- | -- Module : Crypto.Internal.WordArray -- License : BSD-style @@ -9,37 +13,32 @@ -- with limited safety for internal use. -- -- The array produced should never be exposed to the user directly. --- -{-# LANGUAGE BangPatterns #-} -{-# LANGUAGE MagicHash #-} -{-# LANGUAGE UnboxedTuples #-} -module Crypto.Internal.WordArray - ( Array8 - , Array32 - , Array64 - , MutableArray32 - , array8 - , array32 - , array32FromAddrBE - , allocArray32AndFreeze - , mutableArray32 - , array64 - , arrayRead8 - , arrayRead32 - , arrayRead64 - , mutableArrayRead32 - , mutableArrayWrite32 - , mutableArrayWriteXor32 - , mutableArray32FromAddrBE - , mutableArray32Freeze - ) where +module Crypto.Internal.WordArray ( + Array8, + Array32, + Array64, + MutableArray32, + array8, + array32, + array32FromAddrBE, + allocArray32AndFreeze, + mutableArray32, + array64, + arrayRead8, + arrayRead32, + arrayRead64, + mutableArrayRead32, + mutableArrayWrite32, + mutableArrayWriteXor32, + mutableArray32FromAddrBE, + mutableArray32Freeze, +) where -import Data.Word -import Data.Bits (xor) import Crypto.Internal.Compat import Crypto.Internal.CompatPrim -import GHC.Prim -import GHC.Types +import Data.Bits (xor) +import Data.Word +import GHC.Base import GHC.Word -- | Array of Word8 @@ -81,15 +80,15 @@ case newAlignedPinnedByteArray# (n *# 8#) 8# s of (# s', mbarr #) -> loop 0# s' mbarr l where - loop _ st mb [] = freezeArray mb st - loop i st mb ((W64# x):xs) - | booleanPrim (i ==# n) = freezeArray mb st - | otherwise = - let !st' = writeWord64Array# mb i x st - in loop (i +# 1#) st' mb xs - freezeArray mb st = - case unsafeFreezeByteArray# mb st of - (# st', b #) -> (# st', Array64 b #) + loop _ st mb [] = freezeArray mb st + loop i st mb ((W64# x) : xs) + | booleanPrim (i ==# n) = freezeArray mb st + | otherwise = + let !st' = writeWord64Array# mb i x st + in loop (i +# 1#) st' mb xs + freezeArray mb st = + case unsafeFreezeByteArray# mb st of + (# st', b #) -> (# st', Array64 b #) {-# NOINLINE array64 #-} -- | Create a Mutable Array of Word32 of specific size from a list of Word32 @@ -98,12 +97,12 @@ case newAlignedPinnedByteArray# (n *# 4#) 4# s of (# s', mbarr #) -> loop 0# s' mbarr l where - loop _ st mb [] = (# st, MutableArray32 mb #) - loop i st mb ((W32# x):xs) - | booleanPrim (i ==# n) = (# st, MutableArray32 mb #) - | otherwise = - let !st' = writeWord32Array# mb i x st - in loop (i +# 1#) st' mb xs + loop _ st mb [] = (# st, MutableArray32 mb #) + loop i st mb ((W32# x) : xs) + | booleanPrim (i ==# n) = (# st, MutableArray32 mb #) + | otherwise = + let !st' = writeWord32Array# mb i x st + in loop (i +# 1#) st' mb xs -- | Create a Mutable Array of BE Word32 aliasing an Addr mutableArray32FromAddrBE :: Int -> Addr# -> IO MutableArray32 @@ -111,11 +110,11 @@ case newAlignedPinnedByteArray# (n *# 4#) 4# s of (# s', mbarr #) -> loop 0# s' mbarr where - loop i st mb - | booleanPrim (i ==# n) = (# st, MutableArray32 mb #) - | otherwise = - let !st' = writeWord32Array# mb i (be32Prim (indexWord32OffAddr# a i)) st - in loop (i +# 1#) st' mb + loop i st mb + | booleanPrim (i ==# n) = (# st, MutableArray32 mb #) + | otherwise = + let !st' = writeWord32Array# mb i (be32Prim (indexWord32OffAddr# a i)) st + in loop (i +# 1#) st' mb -- | freeze a Mutable Array of Word32 into a immutable Array of Word32 mutableArray32Freeze :: MutableArray32 -> IO Array32 diff --git a/Crypto/Internal/Words.hs b/Crypto/Internal/Words.hs --- a/Crypto/Internal/Words.hs +++ b/Crypto/Internal/Words.hs @@ -6,16 +6,15 @@ -- Portability : unknown -- -- Extra Word size --- -module Crypto.Internal.Words - ( Word128(..) - , w64to32 - , w32to64 - ) where +module Crypto.Internal.Words ( + Word128 (..), + w64to32, + w32to64, +) where -import Data.Word import Data.Bits import Data.Memory.ExtendedWords +import Data.Word -- | Split a 'Word64' into the highest and lowest 'Word32' w64to32 :: Word64 -> (Word32, Word32) diff --git a/Crypto/KDF/Argon2.hs b/Crypto/KDF/Argon2.hs --- a/Crypto/KDF/Argon2.hs +++ b/Crypto/KDF/Argon2.hs @@ -11,73 +11,77 @@ -- -- File started from Argon2.hs, from Oliver Charles -- at https://github.com/ocharles/argon2 --- -module Crypto.KDF.Argon2 - ( - Options(..) - , TimeCost - , MemoryCost - , Parallelism - , Variant(..) - , Version(..) - , defaultOptions +module Crypto.KDF.Argon2 ( + Options (..), + TimeCost, + MemoryCost, + Parallelism, + Variant (..), + Version (..), + defaultOptions, + -- * Hashing function - , hash - ) where + hash, +) where -import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess) +import Crypto.Error +import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess) import qualified Crypto.Internal.ByteArray as B -import Crypto.Error -import Control.Monad (when) -import Data.Word -import Foreign.C -import Foreign.Ptr +import Crypto.Internal.Compat (unsafeDoIO) +import Data.Word +import Foreign.C +import Foreign.Ptr -- | Which variant of Argon2 to use. You should choose the variant that is most -- applicable to your intention to hash inputs. -data Variant = - Argon2d -- ^ Argon2d is faster than Argon2i and uses data-depending memory access, - -- which makes it suitable for cryptocurrencies and applications with no - -- threats from side-channel timing attacks. - | Argon2i -- ^ Argon2i uses data-independent memory access, which is preferred - -- for password hashing and password-based key derivation. Argon2i - -- is slower as it makes more passes over the memory to protect from - -- tradeoff attacks. - | Argon2id -- ^ Argon2id is a hybrid of Argon2i and Argon2d, using a combination - -- of data-depending and data-independent memory accesses, which gives - -- some of Argon2i's resistance to side-channel cache timing attacks - -- and much of Argon2d's resistance to GPU cracking attacks - deriving (Eq,Ord,Read,Show,Enum,Bounded) +data Variant + = -- | Argon2d is faster than Argon2i and uses data-depending memory access, + -- which makes it suitable for cryptocurrencies and applications with no + -- threats from side-channel timing attacks. + Argon2d + | -- | Argon2i uses data-independent memory access, which is preferred + -- for password hashing and password-based key derivation. Argon2i + -- is slower as it makes more passes over the memory to protect from + -- tradeoff attacks. + Argon2i + | -- | Argon2id is a hybrid of Argon2i and Argon2d, using a combination + -- of data-depending and data-independent memory accesses, which gives + -- some of Argon2i's resistance to side-channel cache timing attacks + -- and much of Argon2d's resistance to GPU cracking attacks + Argon2id + deriving (Eq, Ord, Read, Show, Enum, Bounded) -- | Which version of Argon2 to use data Version = Version10 | Version13 - deriving (Eq,Ord,Read,Show,Enum,Bounded) + deriving (Eq, Ord, Read, Show, Enum, Bounded) -- | The time cost, which defines the amount of computation realized and therefore the execution time, given in number of iterations. -- --- 'FFI.ARGON2_MIN_TIME' <= 'hashIterations' <= 'FFI.ARGON2_MAX_TIME' +-- 'FFI.ARGON2_MIN_TIME' <= 'iterations' <= 'FFI.ARGON2_MAX_TIME' type TimeCost = Word32 -- | The memory cost, which defines the memory usage, given in kibibytes. -- --- max 'FFI.ARGON2_MIN_MEMORY' (8 * 'hashParallelism') <= 'hashMemory' <= 'FFI.ARGON2_MAX_MEMORY' +-- max 'FFI.ARGON2_MIN_MEMORY' (8 * 'parallelism') <= 'memory' <= 'FFI.ARGON2_MAX_MEMORY' type MemoryCost = Word32 -- | A parallelism degree, which defines the number of parallel threads. -- --- 'FFI.ARGON2_MIN_LANES' <= 'hashParallelism' <= 'FFI.ARGON2_MAX_LANES' && 'FFI.ARGON_MIN_THREADS' <= 'hashParallelism' <= 'FFI.ARGON2_MAX_THREADS' +-- 'FFI.ARGON2_MIN_LANES' <= 'parallelism' <= 'FFI.ARGON2_MAX_LANES' && 'FFI.ARGON_MIN_THREADS' <= 'parallelism' <= 'FFI.ARGON2_MAX_THREADS' type Parallelism = Word32 -- | Parameters that can be adjusted to change the runtime performance of the -- hashing. data Options = Options - { iterations :: !TimeCost - , memory :: !MemoryCost + { iterations :: !TimeCost + , memory :: !MemoryCost , parallelism :: !Parallelism - , variant :: !Variant -- ^ Which variant of Argon2 to use. - , version :: !Version -- ^ Which version of Argon2 to use. + , variant :: !Variant + -- ^ Which variant of Argon2 to use. + , version :: !Version + -- ^ Which version of Argon2 to use. } - deriving (Eq,Ord,Read,Show) + deriving (Eq, Ord, Read, Show) saltMinLength :: Int saltMinLength = 8 @@ -92,38 +96,52 @@ defaultOptions :: Options defaultOptions = - Options { iterations = 1 - , memory = 2 ^ (17 :: Int) - , parallelism = 4 - , variant = Argon2i - , version = Version13 - } + Options + { iterations = 1 + , memory = 2 ^ (17 :: Int) + , parallelism = 4 + , variant = Argon2i + , version = Version13 + } -hash :: (ByteArrayAccess password, ByteArrayAccess salt, ByteArray out) - => Options - -> password - -> salt - -> Int - -> CryptoFailable out +-- | Hash a password with Argon2. +-- +-- Options the underlying implementation refuses -- iterations, memory or +-- parallelism outside the range it accepts -- are reported as +-- 'CryptoError_ParameterInvalid'. +hash + :: (ByteArrayAccess password, ByteArrayAccess salt, ByteArray out) + => Options + -> password + -> salt + -> Int + -> CryptoFailable out hash options password salt outLen - | saltLen < saltMinLength = CryptoFailed CryptoError_SaltTooSmall + | saltLen < saltMinLength = CryptoFailed CryptoError_SaltTooSmall | outLen < outputMinLength = CryptoFailed CryptoError_OutputLengthTooSmall | outLen > outputMaxLength = CryptoFailed CryptoError_OutputLengthTooBig - | otherwise = CryptoPassed $ B.allocAndFreeze outLen $ \out -> do - res <- B.withByteArray password $ \pPass -> - B.withByteArray salt $ \pSalt -> - argon2_hash (iterations options) - (memory options) - (parallelism options) - pPass - (csizeOfInt passwordLen) - pSalt - (csizeOfInt saltLen) - out - (csizeOfInt outLen) - (cOfVariant $ variant options) - (cOfVersion $ version options) - when (res /= 0) $ error "argon2: hash: internal error" + | otherwise = unsafeDoIO $ do + -- the bounds on iterations, memory and parallelism are checked by the + -- C implementation, which reports them through its return code + (res, out) <- B.allocRet outLen $ \pOut -> + B.withByteArray password $ \pPass -> + B.withByteArray salt $ \pSalt -> + argon2_hash + (iterations options) + (memory options) + (parallelism options) + pPass + (csizeOfInt passwordLen) + pSalt + (csizeOfInt saltLen) + pOut + (csizeOfInt outLen) + (cOfVariant $ variant options) + (cOfVersion $ version options) + return $ + if res == 0 + then CryptoPassed out + else CryptoFailed CryptoError_ParameterInvalid where saltLen = B.length salt passwordLen = B.length password @@ -140,18 +158,24 @@ cOfVersion Version13 = 0x13 cOfVariant :: Variant -> CVariant -cOfVariant Argon2d = 0 -cOfVariant Argon2i = 1 +cOfVariant Argon2d = 0 +cOfVariant Argon2i = 1 cOfVariant Argon2id = 2 csizeOfInt :: Int -> CSize csizeOfInt = fromIntegral foreign import ccall unsafe "crypton_argon2_hash" - argon2_hash :: Word32 -> Word32 -> Word32 - -> Ptr Pass -> CSize - -> Ptr Salt -> CSize - -> Ptr HashOut -> CSize - -> CVariant - -> CVersion - -> IO CInt + argon2_hash + :: Word32 + -> Word32 + -> Word32 + -> Ptr Pass + -> CSize + -> Ptr Salt + -> CSize + -> Ptr HashOut + -> CSize + -> CVariant + -> CVersion + -> IO CInt diff --git a/Crypto/KDF/BCrypt.hs b/Crypto/KDF/BCrypt.hs --- a/Crypto/KDF/BCrypt.hs +++ b/Crypto/KDF/BCrypt.hs @@ -1,4 +1,3 @@ - -- | Password encoding and validation using bcrypt. -- -- Example usage: @@ -38,32 +37,43 @@ -- if passwords are UTF-8 encoded (which they should be) and less than 256 -- characters long. -- +-- Only the first 72 bytes of a password are used. The rest is silently +-- ignored, so two passwords sharing a 72-byte prefix produce the same hash and +-- validate against each other. That is what the original implementation does +-- and is kept for compatibility, but it means a longer +-- passphrase buys nothing past that point, and the limit is on /bytes/ rather +-- than characters -- a UTF-8 passphrase reaches it sooner than its length in +-- characters suggests. Where passwords may be longer, hash them to a fixed +-- size first, or use "Crypto.KDF.Argon2" or "Crypto.KDF.Scrypt", which have no +-- such limit. +-- -- The cost parameter can be between 4 and 31 inclusive, but anything less than -- 10 is probably not strong enough. High values may be prohibitively slow -- depending on your hardware. Choose the highest value you can without having -- an unacceptable impact on your users. The cost parameter can also be varied -- depending on the account, since it is unique to an individual hash. - -module Crypto.KDF.BCrypt - ( hashPassword - , validatePassword - , validatePasswordEither - , bcrypt - ) +module Crypto.KDF.BCrypt ( + hashPassword, + tryHashPassword, + validatePassword, + validatePasswordEither, + bcrypt, + tryBcrypt, +) where -import Control.Monad (forM_, unless, when) -import Crypto.Cipher.Blowfish.Primitive (Context, createKeySchedule, - encrypt, expandKey, - expandKeyWithSalt, - freezeKeySchedule) -import Crypto.Internal.Compat -import Crypto.Random (MonadRandom, getRandomBytes) -import Data.ByteArray (ByteArray, ByteArrayAccess, - Bytes) -import qualified Data.ByteArray as B -import Data.ByteArray.Encoding -import Data.Char +import Control.Monad (unless, when) +import Crypto.Cipher.Blowfish.Primitive (bcryptHash) +import Crypto.Error +import Crypto.Random (MonadRandom, getRandomBytes) +import Data.ByteArray ( + ByteArray, + ByteArrayAccess, + Bytes, + ) +import qualified Data.ByteArray as B +import Data.ByteArray.Encoding +import Data.Char data BCryptHash = BCH Char Int Bytes Bytes @@ -73,117 +83,156 @@ -- -- Each increment of the cost approximately doubles the time taken. -- The 16 bytes of random salt will be generated internally. -hashPassword :: (MonadRandom m, ByteArray password, ByteArray hash) - => Int - -- ^ The cost parameter. Should be between 4 and 31 (inclusive). - -- Values which lie outside this range will be adjusted accordingly. - -> password - -- ^ The password. Should be the UTF-8 encoded bytes of the password text. - -> m hash - -- ^ The bcrypt hash in standard format. -hashPassword cost password = do +-- +-- A cost outside 4 to 31 raises 'CryptoError_ParameterInvalid'; +-- 'tryHashPassword' reports it instead. +hashPassword + :: (MonadRandom m, ByteArray password, ByteArray hash) + => Int + -- ^ The cost parameter. Must be between 4 and 31 inclusive; anything + -- else is refused. + -> password + -- ^ The password. Should be the UTF-8 encoded bytes of the password text. + -- Only the first 72 bytes are used; see the module documentation. + -> m hash + -- ^ The bcrypt hash in standard format. +hashPassword cost password = throwCryptoError <$> tryHashPassword cost password + +-- | Create a bcrypt hash for a password with a provided cost value, +-- reporting a cost the implementation refuses rather than raising. +-- +-- The salt is generated internally and is always the right length, so the +-- cost is the only thing here that can be wrong. +tryHashPassword + :: (MonadRandom m, ByteArray password, ByteArray hash) + => Int + -- ^ The cost parameter. Must be between 4 and 31 inclusive; anything + -- else is reported. + -> password + -- ^ The password. Should be the UTF-8 encoded bytes of the password text. + -- Only the first 72 bytes are used; see the module documentation. + -> m (CryptoFailable hash) + -- ^ The bcrypt hash in standard format. +tryHashPassword cost password = do salt <- getRandomBytes 16 - return $ bcrypt cost (salt :: Bytes) password + return $ tryBcrypt cost (salt :: Bytes) password -- | Create a bcrypt hash for a password with a provided cost value and salt. -- --- Cost value under 4 will be automatically adjusted back to 10 for safety reason. -bcrypt :: (ByteArray salt, ByteArray password, ByteArray output) - => Int - -- ^ The cost parameter. Should be between 4 and 31 (inclusive). - -- Values which lie outside this range will be adjusted accordingly. - -> salt - -- ^ The salt. Must be 16 bytes in length or an error will be raised. - -> password - -- ^ The password. Should be the UTF-8 encoded bytes of the password text. - -> output - -- ^ The bcrypt hash in standard format. -bcrypt cost salt password = B.concat [header, B.snoc costBytes dollar, b64 salt, b64 hash] +-- A cost outside 4 to 31, or a salt that is not 16 bytes long, raises +-- 'CryptoError_ParameterInvalid'; 'tryBcrypt' reports the same conditions as +-- 'CryptoFailed'. +bcrypt + :: (ByteArray salt, ByteArray password, ByteArray output) + => Int + -- ^ The cost parameter. Must be between 4 and 31 inclusive; anything + -- else is refused. + -> salt + -- ^ The salt. Must be 16 bytes in length or an error will be raised. + -> password + -- ^ The password. Should be the UTF-8 encoded bytes of the password text. + -- Only the first 72 bytes are used; see the module documentation. + -> output + -- ^ The bcrypt hash in standard format. +bcrypt cost salt password = throwCryptoError (tryBcrypt cost salt password) + +-- | Create a bcrypt hash for a password with a provided cost value and salt, +-- reporting a parameter the implementation refuses rather than raising. +-- +-- bcrypt is defined for a cost of 4 to 31, and a cost outside that is +-- reported rather than replaced by one inside it: a caller that asks for +-- something this does not do should hear so, not receive a hash at a cost it +-- did not choose. +tryBcrypt + :: (ByteArray salt, ByteArray password, ByteArray output) + => Int + -- ^ The cost parameter. Must be between 4 and 31 inclusive; anything + -- else is refused. + -> salt + -- ^ The salt. Must be 16 bytes in length. + -> password + -- ^ The password. Should be the UTF-8 encoded bytes of the password text. + -- Only the first 72 bytes are used; see the module documentation. + -> CryptoFailable output + -- ^ The bcrypt hash in standard format. +tryBcrypt cost salt password + | cost < 4 || cost > 31 = CryptoFailed CryptoError_ParameterInvalid + | B.length salt /= 16 = CryptoFailed CryptoError_ParameterInvalid + | otherwise = + CryptoPassed $ + B.concat [header, B.snoc costBytes dollar, b64 salt, b64 hash] where - hash = rawHash 'b' realCost salt password + hash = rawHash 'b' cost salt password header = B.pack [dollar, fromIntegral (ord '2'), fromIntegral (ord 'b'), dollar] dollar = fromIntegral (ord '$') - zero = fromIntegral (ord '0') - costBytes = B.pack [zero + fromIntegral (realCost `div` 10), zero + fromIntegral (realCost `mod` 10)] - realCost - | cost < 4 = 10 -- 4 is virtually pointless so go for 10 - | cost > 31 = 31 - | otherwise = cost + zero = fromIntegral (ord '0') + costBytes = + B.pack + [ zero + fromIntegral (cost `div` 10) + , zero + fromIntegral (cost `mod` 10) + ] - b64 :: (ByteArray ba) => ba -> ba + b64 :: ByteArray ba => ba -> ba b64 = convertToBase Base64OpenBSD -- | Check a password against a stored bcrypt hash when authenticating a user. -- -- Returns @False@ if the password doesn't match the hash, or if the hash is -- invalid or an unsupported version. -validatePassword :: (ByteArray password, ByteArray hash) => password -> hash -> Bool +-- +-- Only the first 72 bytes of the password are compared; see the module +-- documentation. +validatePassword + :: (ByteArray password, ByteArray hash) => password -> hash -> Bool validatePassword password bcHash = either (const False) id (validatePasswordEither password bcHash) -- | Check a password against a bcrypt hash -- -- As for @validatePassword@ but will provide error information if the hash is invalid or --- an unsupported version. -validatePasswordEither :: (ByteArray password, ByteArray hash) => password -> hash -> Either String Bool +-- an unsupported version. The same 72-byte limit applies. +validatePasswordEither + :: (ByteArray password, ByteArray hash) => password -> hash -> Either String Bool validatePasswordEither password bcHash = do BCH version cost salt hash <- parseBCryptHash bcHash return $ (rawHash version cost salt password :: Bytes) `B.constEq` hash -rawHash :: (ByteArrayAccess salt, ByteArray password, ByteArray output) => Char -> Int -> salt -> password -> output -rawHash _ cost salt password = B.take 23 hash -- Another compatibility bug. Ignore last byte of hash +rawHash + :: (ByteArrayAccess salt, ByteArray password, ByteArray output) + => Char -> Int -> salt -> password -> output +rawHash _ cost salt password = case bcryptHash cost salt key of + Just hash -> B.take 23 hash -- Another compatibility bug. Ignore last byte of hash + Nothing -> error "bcrypt: the cost or the salt is not one bcrypt takes" where - hash = loop (0 :: Int) orpheanBeholder - - loop i input - | i < 64 = loop (i+1) (encrypt ctx input) - | otherwise = input - -- Truncate the password if necessary and append a null byte for C compatibility - key = B.snoc (B.take 72 password) 0 - - ctx = expensiveBlowfishContext key salt cost - - -- The BCrypt plaintext: "OrpheanBeholderScryDoubt" - orpheanBeholder = B.pack [79,114,112,104,101,97,110,66,101,104,111,108,100,101,114,83,99,114,121,68,111,117,98,116] + key = B.snoc (B.take 72 (B.convert password :: Bytes)) 0 -- "$2a$10$XajjQvNhvvRt5GSeFk1xFeyqRrsxkhBkUiQeg0dt.wU1qD4aFDcga" -parseBCryptHash :: (ByteArray ba) => ba -> Either String BCryptHash +parseBCryptHash :: ByteArray ba => ba -> Either String BCryptHash parseBCryptHash bc = do - unless (B.length bc == 60 && - B.index bc 0 == dollar && - B.index bc 1 == fromIntegral (ord '2') && - B.index bc 3 == dollar && - B.index bc 6 == dollar) (Left "Invalid hash format") - unless (version == 'b' || version == 'a' || version == 'y') (Left ("Unsupported minor version: " ++ [version])) - when (costTens > 3 || cost > 31 || cost < 4) (Left "Invalid bcrypt cost") + unless + ( B.length bc == 60 + && B.index bc 0 == dollar + && B.index bc 1 == fromIntegral (ord '2') + && B.index bc 3 == dollar + && B.index bc 6 == dollar + ) + (Left "Invalid hash format") + unless + (version == 'b' || version == 'a' || version == 'y') + (Left ("Unsupported minor version: " ++ [version])) + when (costTens > 3 || cost > 31 || cost < 4) (Left "Invalid bcrypt cost") (salt, hash) <- decodeSaltHash (B.drop 7 bc) return (BCH version cost salt hash) where - dollar = fromIntegral (ord '$') - zero = ord '0' - costTens = fromIntegral (B.index bc 4) - zero + dollar = fromIntegral (ord '$') + zero = ord '0' + costTens = fromIntegral (B.index bc 4) - zero costUnits = fromIntegral (B.index bc 5) - zero - version = chr (fromIntegral (B.index bc 2)) - cost = costUnits + 10*costTens :: Int + version = chr (fromIntegral (B.index bc 2)) + cost = costUnits + 10 * costTens :: Int decodeSaltHash saltHash = do let (s, h) = B.splitAt 22 saltHash salt <- convertFromBase Base64OpenBSD s hash <- convertFromBase Base64OpenBSD h return (salt, hash) - --- | Create a key schedule for the BCrypt "EKS" version. --- --- Salt must be a 128-bit byte array. --- Cost must be between 4 and 31 inclusive --- See -expensiveBlowfishContext :: (ByteArrayAccess key, ByteArrayAccess salt) => key-> salt -> Int -> Context -expensiveBlowfishContext keyBytes saltBytes cost - | B.length saltBytes /= 16 = error "bcrypt salt must be 16 bytes" - | otherwise = unsafeDoIO $ do - ks <- createKeySchedule - expandKeyWithSalt ks keyBytes saltBytes - forM_ [1..2^cost :: Int] $ \_ -> do - expandKey ks keyBytes - expandKey ks saltBytes - freezeKeySchedule ks diff --git a/Crypto/KDF/BCryptPBKDF.hs b/Crypto/KDF/BCryptPBKDF.hs --- a/Crypto/KDF/BCryptPBKDF.hs +++ b/Crypto/KDF/BCryptPBKDF.hs @@ -6,182 +6,187 @@ -- -- Port of the bcrypt_pbkdf key derivation function from OpenBSD -- as described at . -module Crypto.KDF.BCryptPBKDF - ( Parameters (..) - , generate - , hashInternal - ) +module Crypto.KDF.BCryptPBKDF ( + Parameters (..), + generate, + tryGenerate, + hashInternal, + tryHashInternal, +) where -import Basement.Block (MutableBlock) -import qualified Basement.Block as Block -import qualified Basement.Block.Mutable as Block -import Basement.Monad (PrimState) -import Basement.Types.OffsetSize (CountOf (..), Offset (..)) -import Control.Exception (finally) -import Control.Monad (when) -import qualified Crypto.Cipher.Blowfish.Box as Blowfish -import qualified Crypto.Cipher.Blowfish.Primitive as Blowfish -import Crypto.Hash.Algorithms (SHA512 (..)) -import Crypto.Hash.Types (Context, - hashDigestSize, - hashInternalContextSize, - hashInternalFinalize, - hashInternalInit, - hashInternalUpdate) -import Crypto.Internal.Compat (unsafeDoIO) -import Data.Bits -import qualified Data.ByteArray as B -import Data.Foldable (forM_) -import Data.Memory.PtrMethods (memCopy, memSet, memXor) -import Data.Word -import Foreign.Ptr (Ptr, castPtr) -import Foreign.Storable (peekByteOff, pokeByteOff) +import qualified Control.Exception as E +import Control.Monad (when) +import Crypto.Cipher.Blowfish.Primitive (bcryptPbkdfHash) +import Crypto.Error +import Crypto.Hash.Algorithms (SHA512 (..)) +import Crypto.Hash.Types ( + Context, + hashDigestSize, + hashInternalContextSize, + hashInternalFinalize, + hashInternalInit, + hashInternalUpdate, + ) +import Crypto.Internal.Compat (unsafeDoIO) +import Data.Bits +import qualified Data.ByteArray as B +import qualified Data.ByteString.Internal as BSI +import Data.Foldable (forM_) +import Data.Memory.PtrMethods (memCopy, memSet, memXor) +import Data.Word +import Foreign.ForeignPtr (ForeignPtr, mallocForeignPtrBytes, withForeignPtr) +import Foreign.Ptr (Ptr, castPtr) +import Foreign.Storable (peekByteOff, pokeByteOff) data Parameters = Parameters - { iterCounts :: Int -- ^ The number of user-defined iterations for the algorithm - -- (must be > 0) - , outputLength :: Int -- ^ The number of bytes to generate out of BCryptPBKDF - -- (must be in 1..1024) - } deriving (Eq, Ord, Show) + { iterCounts :: Int + -- ^ The number of user-defined iterations for the algorithm + -- (must be > 0) + , outputLength :: Int + -- ^ The number of bytes to generate out of BCryptPBKDF + -- (must be in 1..1024) + } + deriving (Eq, Ord, Show) -- | Derive a key of specified length using the bcrypt_pbkdf algorithm. -generate :: (B.ByteArray pass, B.ByteArray salt, B.ByteArray output) - => Parameters - -> pass - -> salt - -> output -generate params pass salt - | iterCounts params < 1 = error "BCryptPBKDF: iterCounts must be > 0" - | keyLen < 1 || keyLen > 1024 = error "BCryptPBKDF: outputLength must be in 1..1024" - | otherwise = B.unsafeCreate keyLen deriveKey +-- +-- Parameters outside the ranges documented for t'Parameters' raise +-- 'CryptoError_ParameterInvalid'; 'tryGenerate' reports the same condition as +-- 'CryptoFailed'. +generate + :: (B.ByteArray pass, B.ByteArray salt, B.ByteArray output) + => Parameters + -> pass + -> salt + -> output +generate params pass salt = throwCryptoError (tryGenerate params pass salt) + +-- | Derive a key of specified length using the bcrypt_pbkdf algorithm, +-- reporting parameters the implementation refuses rather than raising. +tryGenerate + :: (B.ByteArray pass, B.ByteArray salt, B.ByteArray output) + => Parameters + -> pass + -> salt + -> CryptoFailable output +tryGenerate params pass salt + | iterCounts params < 1 = CryptoFailed CryptoError_ParameterInvalid + | keyLen < 1 || keyLen > 1024 = CryptoFailed CryptoError_ParameterInvalid + | otherwise = CryptoPassed $ B.unsafeCreate keyLen deriveKey where outLen, tmpLen, blkLen, keyLen, passLen, saltLen, ctxLen, hashLen, blocks :: Int - outLen = 32 - tmpLen = 32 - blkLen = 4 + outLen = 32 + tmpLen = 32 + blkLen = 4 passLen = B.length pass saltLen = B.length salt - keyLen = outputLength params - ctxLen = hashInternalContextSize SHA512 + keyLen = outputLength params + ctxLen = hashInternalContextSize SHA512 hashLen = hashDigestSize SHA512 -- 64 - blocks = (keyLen + outLen - 1) `div` outLen + blocks = (keyLen + outLen - 1) `div` outLen deriveKey :: Ptr Word8 -> IO () deriveKey keyPtr = do - -- Allocate all necessary memory. The algorihm shall not allocate - -- any more dynamic memory after this point. Blocks need to be pinned - -- as pointers to them are passed to the SHA512 implementation. - ksClean <- Blowfish.createKeySchedule - ksDirty <- Blowfish.createKeySchedule - ctxMBlock <- Block.newPinned (CountOf ctxLen :: CountOf Word8) - outMBlock <- Block.newPinned (CountOf outLen :: CountOf Word8) - tmpMBlock <- Block.newPinned (CountOf tmpLen :: CountOf Word8) - blkMBlock <- Block.newPinned (CountOf blkLen :: CountOf Word8) - passHashMBlock <- Block.newPinned (CountOf hashLen :: CountOf Word8) - saltHashMBlock <- Block.newPinned (CountOf hashLen :: CountOf Word8) + -- Allocate all necessary memory. The algorithm shall not allocate + -- any more dynamic memory after this point. ForeignPtrs allocate + -- pinned memory, so raw pointers to them are stable. + ctxFP <- mallocForeignPtrBytes ctxLen :: IO (ForeignPtr Word8) + outFP <- mallocForeignPtrBytes outLen :: IO (ForeignPtr Word8) + tmpFP <- mallocForeignPtrBytes tmpLen :: IO (ForeignPtr Word8) + blkFP <- mallocForeignPtrBytes blkLen :: IO (ForeignPtr Word8) + passHashFP <- mallocForeignPtrBytes hashLen :: IO (ForeignPtr Word8) + saltHashFP <- mallocForeignPtrBytes hashLen :: IO (ForeignPtr Word8) -- Finally erase all memory areas that contain information from -- which the derived key could be reconstructed. - -- As all MutableBlocks are pinned it shall be guaranteed that - -- no temporary trampoline buffers are allocated. - finallyErase outMBlock $ finallyErase passHashMBlock $ - B.withByteArray pass $ \passPtr-> - B.withByteArray salt $ \saltPtr-> - Block.withMutablePtr ctxMBlock $ \ctxPtr-> - Block.withMutablePtr outMBlock $ \outPtr-> - Block.withMutablePtr tmpMBlock $ \tmpPtr-> - Block.withMutablePtr blkMBlock $ \blkPtr-> - Block.withMutablePtr passHashMBlock $ \passHashPtr-> - Block.withMutablePtr saltHashMBlock $ \saltHashPtr-> do - -- Hash the password. - let shaPtr = castPtr ctxPtr :: Ptr (Context SHA512) - hashInternalInit shaPtr - hashInternalUpdate shaPtr passPtr (fromIntegral passLen) - hashInternalFinalize shaPtr (castPtr passHashPtr) - passHashBlock <- Block.unsafeFreeze passHashMBlock - forM_ [1..blocks] $ \block-> do - -- Poke the increased block counter. - Block.unsafeWrite blkMBlock 0 (fromIntegral $ block `shiftR` 24) - Block.unsafeWrite blkMBlock 1 (fromIntegral $ block `shiftR` 16) - Block.unsafeWrite blkMBlock 2 (fromIntegral $ block `shiftR` 8) - Block.unsafeWrite blkMBlock 3 (fromIntegral $ block `shiftR` 0) - -- First round (slightly different). - hashInternalInit shaPtr - hashInternalUpdate shaPtr saltPtr (fromIntegral saltLen) - hashInternalUpdate shaPtr blkPtr (fromIntegral blkLen) - hashInternalFinalize shaPtr (castPtr saltHashPtr) - Block.unsafeFreeze saltHashMBlock >>= \x-> do - Blowfish.copyKeySchedule ksDirty ksClean - hashInternalMutable ksDirty passHashBlock x tmpMBlock - memCopy outPtr tmpPtr outLen - -- Remaining rounds. - forM_ [2..iterCounts params] $ const $ do - hashInternalInit shaPtr - hashInternalUpdate shaPtr tmpPtr (fromIntegral tmpLen) - hashInternalFinalize shaPtr (castPtr saltHashPtr) - Block.unsafeFreeze saltHashMBlock >>= \x-> do - Blowfish.copyKeySchedule ksDirty ksClean - hashInternalMutable ksDirty passHashBlock x tmpMBlock - memXor outPtr outPtr tmpPtr outLen - -- Spread the current out buffer evenly over the key buffer. - -- After both loops have run every byte of the key buffer - -- will have been written to exactly once and every byte - -- of the output will have been used. - forM_ [0..outLen - 1] $ \outIdx-> do - let keyIdx = outIdx * blocks + block - 1 - when (keyIdx < keyLen) $ do - w8 <- peekByteOff outPtr outIdx :: IO Word8 - pokeByteOff keyPtr keyIdx w8 + finallyErase outFP outLen $ + finallyErase passHashFP hashLen $ + B.withByteArray pass $ \passPtr -> + B.withByteArray salt $ \saltPtr -> + withForeignPtr ctxFP $ \ctxPtr' -> + withForeignPtr outFP $ \outPtr -> + withForeignPtr tmpFP $ \tmpPtr -> + withForeignPtr blkFP $ \blkPtr -> + withForeignPtr passHashFP $ \passHashPtr -> + withForeignPtr saltHashFP $ \saltHashPtr -> do + -- Hash the password. + let shaPtr = castPtr ctxPtr' :: Ptr (Context SHA512) + hashInternalInit shaPtr + hashInternalUpdate shaPtr passPtr (fromIntegral passLen) + hashInternalFinalize shaPtr (castPtr passHashPtr) + -- Create a stable ByteString view of the password hash + -- (passHashFP is not modified after this point). + let passHashBS = BSI.fromForeignPtr passHashFP 0 hashLen + forM_ [1 .. blocks] $ \block -> do + -- Poke the increased block counter. + pokeByteOff blkPtr 0 (fromIntegral (block `shiftR` 24) :: Word8) + pokeByteOff blkPtr 1 (fromIntegral (block `shiftR` 16) :: Word8) + pokeByteOff blkPtr 2 (fromIntegral (block `shiftR` 8) :: Word8) + pokeByteOff blkPtr 3 (fromIntegral (block `shiftR` 0 :: Int) :: Word8) + -- First round (slightly different). + hashInternalInit shaPtr + hashInternalUpdate shaPtr saltPtr (fromIntegral saltLen) + hashInternalUpdate shaPtr blkPtr (fromIntegral blkLen) + hashInternalFinalize shaPtr (castPtr saltHashPtr) + let saltHashBS = BSI.fromForeignPtr saltHashFP 0 hashLen + hashInternalMutable passHashBS saltHashBS tmpPtr + memCopy outPtr tmpPtr outLen + -- Remaining rounds. + forM_ [2 .. iterCounts params] $ const $ do + hashInternalInit shaPtr + hashInternalUpdate shaPtr tmpPtr (fromIntegral tmpLen) + hashInternalFinalize shaPtr (castPtr saltHashPtr) + let saltHashBS2 = BSI.fromForeignPtr saltHashFP 0 hashLen + hashInternalMutable passHashBS saltHashBS2 tmpPtr + memXor outPtr outPtr tmpPtr outLen + -- Spread the current out buffer evenly over the key buffer. + -- After both loops have run every byte of the key buffer + -- will have been written to exactly once and every byte + -- of the output will have been used. + forM_ [0 .. outLen - 1] $ \outIdx -> do + let keyIdx = outIdx * blocks + block - 1 + when (keyIdx < keyLen) $ do + w8 <- peekByteOff outPtr outIdx :: IO Word8 + pokeByteOff keyPtr keyIdx w8 -- | Internal hash function used by `generate`. -- -- Normal users should not need this. -hashInternal :: (B.ByteArrayAccess pass, B.ByteArrayAccess salt, B.ByteArray output) +-- +-- Inputs that are not 512 bits long raise 'CryptoError_ParameterInvalid'; +-- 'tryHashInternal' reports the same condition as 'CryptoFailed'. +hashInternal + :: (B.ByteArrayAccess pass, B.ByteArrayAccess salt, B.ByteArray output) => pass -> salt -> output -hashInternal passHash saltHash - | B.length passHash /= 64 = error "passHash must be 512 bits" - | B.length saltHash /= 64 = error "saltHash must be 512 bits" - | otherwise = unsafeDoIO $ do - ks0 <- Blowfish.createKeySchedule - outMBlock <- Block.newPinned 32 - hashInternalMutable ks0 passHash saltHash outMBlock - B.convert `fmap` Block.freeze outMBlock +hashInternal passHash saltHash = + throwCryptoError (tryHashInternal passHash saltHash) -hashInternalMutable :: (B.ByteArrayAccess pass, B.ByteArrayAccess salt) - => Blowfish.KeySchedule - -> pass +-- | Internal hash function used by 'tryGenerate', reporting inputs the +-- implementation refuses rather than raising. +-- +-- Normal users should not need this. +tryHashInternal + :: (B.ByteArrayAccess pass, B.ByteArrayAccess salt, B.ByteArray output) + => pass -> salt - -> MutableBlock Word8 (PrimState IO) + -> CryptoFailable output +tryHashInternal passHash saltHash + | B.length passHash /= 64 = CryptoFailed CryptoError_ParameterInvalid + | B.length saltHash /= 64 = CryptoFailed CryptoError_ParameterInvalid + | otherwise = CryptoPassed $ unsafeDoIO $ do + B.alloc 32 $ \outPtr -> hashInternalMutable passHash saltHash outPtr + +hashInternalMutable + :: (B.ByteArrayAccess pass, B.ByteArrayAccess salt) + => pass + -> salt + -> Ptr Word8 -> IO () -hashInternalMutable bfks passHash saltHash outMBlock = do - Blowfish.expandKeyWithSalt bfks passHash saltHash - forM_ [0..63 :: Int] $ const $ do - Blowfish.expandKey bfks saltHash - Blowfish.expandKey bfks passHash - -- "OxychromaticBlowfishSwatDynamite" represented as 4 Word64 in big-endian. - store 0 =<< cipher 64 0x4f78796368726f6d - store 8 =<< cipher 64 0x61746963426c6f77 - store 16 =<< cipher 64 0x6669736853776174 - store 24 =<< cipher 64 0x44796e616d697465 - where - store :: Offset Word8 -> Word64 -> IO () - store o w64 = do - Block.unsafeWrite outMBlock (o + 0) (fromIntegral $ w64 `shiftR` 32) - Block.unsafeWrite outMBlock (o + 1) (fromIntegral $ w64 `shiftR` 40) - Block.unsafeWrite outMBlock (o + 2) (fromIntegral $ w64 `shiftR` 48) - Block.unsafeWrite outMBlock (o + 3) (fromIntegral $ w64 `shiftR` 56) - Block.unsafeWrite outMBlock (o + 4) (fromIntegral $ w64 `shiftR` 0) - Block.unsafeWrite outMBlock (o + 5) (fromIntegral $ w64 `shiftR` 8) - Block.unsafeWrite outMBlock (o + 6) (fromIntegral $ w64 `shiftR` 16) - Block.unsafeWrite outMBlock (o + 7) (fromIntegral $ w64 `shiftR` 24) - cipher :: Int -> Word64 -> IO Word64 - cipher 0 block = return block - cipher i block = Blowfish.cipherBlockMutable bfks block >>= cipher (i - 1) +hashInternalMutable passHash saltHash outPtr = + bcryptPbkdfHash passHash saltHash outPtr -finallyErase :: MutableBlock Word8 (PrimState IO) -> IO () -> IO () -finallyErase mblock action = - action `finally` Block.withMutablePtr mblock (\ptr-> memSet ptr 0 len) - where - CountOf len = Block.mutableLengthBytes mblock +finallyErase :: ForeignPtr Word8 -> Int -> IO () -> IO () +finallyErase fp len action = + action `E.finally` withForeignPtr fp (\ptr -> memSet ptr 0 len) diff --git a/Crypto/KDF/HKDF.hs b/Crypto/KDF/HKDF.hs --- a/Crypto/KDF/HKDF.hs +++ b/Crypto/KDF/HKDF.hs @@ -1,3 +1,6 @@ +{-# LANGUAGE BangPatterns #-} +{-# LANGUAGE ScopedTypeVariables #-} + -- | -- Module : Crypto.KDF.HKDF -- License : BSD-style @@ -8,77 +11,122 @@ -- Key Derivation Function based on HMAC -- -- See RFC5869 --- -{-# LANGUAGE BangPatterns #-} -module Crypto.KDF.HKDF - ( PRK - , extract - , extractSkip - , expand - ) where +module Crypto.KDF.HKDF ( + PRK, + extract, + extractSkip, + expand, + tryExpand, + toPRK, +) where -import Data.Word -import Crypto.Hash -import Crypto.MAC.HMAC -import Crypto.Internal.ByteArray (ScrubbedBytes, ByteArray, ByteArrayAccess) +import Crypto.Error +import Crypto.Hash +import Crypto.Internal.ByteArray ( + ByteArray, + ByteArrayAccess, + ScrubbedBytes, + ) import qualified Crypto.Internal.ByteArray as B +import Crypto.MAC.HMAC +import Data.Word -- | Pseudo Random Key data PRK a = PRK (HMAC a) | PRK_NoExpand ScrubbedBytes deriving (Eq) instance ByteArrayAccess (PRK a) where - length (PRK hm) = B.length hm + length (PRK hm) = B.length hm length (PRK_NoExpand sb) = B.length sb - withByteArray (PRK hm) = B.withByteArray hm + withByteArray (PRK hm) = B.withByteArray hm withByteArray (PRK_NoExpand sb) = B.withByteArray sb -- | Extract a Pseudo Random Key using the parameter and the underlaying hash mechanism -extract :: (HashAlgorithm a, ByteArrayAccess salt, ByteArrayAccess ikm) - => salt -- ^ Salt - -> ikm -- ^ Input Keying Material - -> PRK a -- ^ Pseudo random key +extract + :: (HashAlgorithm a, ByteArrayAccess salt, ByteArrayAccess ikm) + => salt + -- ^ Salt + -> ikm + -- ^ Input Keying Material + -> PRK a + -- ^ Pseudo random key extract salt ikm = PRK $ hmac salt ikm -- | Create a PRK directly from the input key material. -- -- Only use when guaranteed to have a good quality and random data to use directly as key. -- This effectively skip a HMAC with key=salt and data=key. -extractSkip :: ByteArrayAccess ikm - => ikm - -> PRK a +extractSkip + :: ByteArrayAccess ikm + => ikm + -> PRK a extractSkip ikm = PRK_NoExpand $ B.convert ikm -- | Expand key material of specific length out of the parameters -expand :: (HashAlgorithm a, ByteArrayAccess info, ByteArray out) - => PRK a -- ^ Pseudo Random Key - -> info -- ^ Optional context and application specific information - -> Int -- ^ Output length in bytes - -> out -- ^ Output data +-- +-- Requests exceeding the RFC 5869 limit of @255 * HashLen@ raise +-- 'CryptoError_OutputLengthTooBig'; 'tryExpand' reports the same condition as +-- 'CryptoFailed'. +expand + :: forall a info out + . (HashAlgorithm a, ByteArrayAccess info, ByteArray out) + => PRK a + -- ^ Pseudo Random Key + -> info + -- ^ Optional context and application specific information + -> Int + -- ^ Output length in bytes + -> out + -- ^ Output data expand prkAt infoAt outputLength = - let hF = hFGet prkAt - in B.concat $ loop hF B.empty outputLength 1 + throwCryptoError (tryExpand prkAt infoAt outputLength) + +-- | Expand key material of specific length out of the parameters, reporting a +-- length the RFC refuses rather than raising. +tryExpand + :: forall a info out + . (HashAlgorithm a, ByteArrayAccess info, ByteArray out) + => PRK a + -- ^ Pseudo Random Key + -> info + -- ^ Optional context and application specific information + -> Int + -- ^ Output length in bytes + -> CryptoFailable out + -- ^ Output data +tryExpand prkAt infoAt outputLength + | outputLength > 255 * hashDigestSize (undefined :: a) = + CryptoFailed CryptoError_OutputLengthTooBig + | otherwise = + let hF = hFGet prkAt + in CryptoPassed $ B.concat $ loop hF B.empty outputLength 1 where hFGet :: (HashAlgorithm a, ByteArrayAccess b) => PRK a -> (b -> HMAC a) hFGet prk = case prk of - PRK hmacKey -> hmac hmacKey - PRK_NoExpand ikm -> hmac ikm + PRK hmacKey -> hmac hmacKey + PRK_NoExpand ikm -> hmac ikm info :: ScrubbedBytes info = B.convert infoAt - loop :: HashAlgorithm a - => (ScrubbedBytes -> HMAC a) - -> ScrubbedBytes - -> Int - -> Word8 - -> [ScrubbedBytes] + loop + :: HashAlgorithm a + => (ScrubbedBytes -> HMAC a) + -> ScrubbedBytes + -> Int + -> Word8 + -> [ScrubbedBytes] loop hF tim1 n i - | n <= 0 = [] + | n <= 0 = [] | otherwise = - let input = B.concat [tim1,info,B.singleton i] :: ScrubbedBytes - ti = B.convert $ hF input + let input = B.concat [tim1, info, B.singleton i] :: ScrubbedBytes + ti = B.convert $ hF input hashLen = B.length ti - r = n - hashLen + r = n - hashLen in (if n >= hashLen then ti else B.take n ti) - : loop hF ti r (i+1) + : loop hF ti r (i + 1) + +toPRK :: (HashAlgorithm a, ByteArrayAccess ba) => ba -> Maybe (PRK a) +toPRK bs = case digestFromByteString bs of + Nothing -> Nothing + Just digest -> Just $ PRK $ HMAC digest diff --git a/Crypto/KDF/PBKDF2.hs b/Crypto/KDF/PBKDF2.hs --- a/Crypto/KDF/PBKDF2.hs +++ b/Crypto/KDF/PBKDF2.hs @@ -1,3 +1,6 @@ +{-# LANGUAGE BangPatterns #-} +{-# LANGUAGE ForeignFunctionInterface #-} + -- | -- Module : Crypto.KDF.PBKDF2 -- License : BSD-style @@ -6,67 +9,105 @@ -- Portability : unknown -- -- Password Based Key Derivation Function 2 --- -{-# LANGUAGE BangPatterns #-} -{-# LANGUAGE ForeignFunctionInterface #-} - -module Crypto.KDF.PBKDF2 - ( PRF - , prfHMAC - , Parameters(..) - , generate - , fastPBKDF2_SHA1 - , fastPBKDF2_SHA256 - , fastPBKDF2_SHA512 - ) where +module Crypto.KDF.PBKDF2 ( + PRF, + prfHMAC, + Parameters (..), + generate, + tryGenerate, + fastPBKDF2_SHA1, + tryFastPBKDF2_SHA1, + fastPBKDF2_SHA256, + tryFastPBKDF2_SHA256, + fastPBKDF2_SHA512, + tryFastPBKDF2_SHA512, +) where -import Data.Word -import Data.Bits -import Foreign.Marshal.Alloc -import Foreign.Ptr (plusPtr, Ptr) -import Foreign.C.Types (CUInt(..), CSize(..)) +import Data.Bits +import Data.Word +import Foreign.C.Types (CSize (..), CUInt (..)) +import Foreign.Marshal.Alloc +import Foreign.Ptr (Ptr, plusPtr) -import Crypto.Hash (HashAlgorithm) +import Crypto.Error +import Crypto.Hash (HashAlgorithm) import qualified Crypto.MAC.HMAC as HMAC -import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess, Bytes) +import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess, Bytes) import qualified Crypto.Internal.ByteArray as B -import Data.Memory.PtrMethods +import Data.Memory.PtrMethods -- | The PRF used for PBKDF2 type PRF password = - password -- ^ the password parameters - -> Bytes -- ^ the content - -> Bytes -- ^ prf(password,content) + password + -- ^ the password parameters + -> Bytes + -- ^ the content + -> Bytes + -- ^ prf(password,content) -- | PRF for PBKDF2 using HMAC with the hash algorithm as parameter -prfHMAC :: (HashAlgorithm a, ByteArrayAccess password) - => a - -> PRF password +prfHMAC + :: (HashAlgorithm a, ByteArrayAccess password) + => a + -> PRF password prfHMAC alg k = hmacIncr alg (HMAC.initialize k) - where hmacIncr :: HashAlgorithm a => a -> HMAC.Context a -> (Bytes -> Bytes) - hmacIncr _ !ctx = \b -> B.convert $ HMAC.finalize $ HMAC.update ctx b + where + hmacIncr :: HashAlgorithm a => a -> HMAC.Context a -> (Bytes -> Bytes) + hmacIncr _ !ctx = \b -> B.convert $ HMAC.finalize $ HMAC.update ctx b -- | Parameters for PBKDF2 data Parameters = Parameters - { iterCounts :: Int -- ^ the number of user-defined iterations for the algorithms. e.g. WPA2 uses 4000. - , outputLength :: Int -- ^ the number of bytes to generate out of PBKDF2 + { iterCounts :: Int + -- ^ the number of user-defined iterations for the algorithms. e.g. WPA2 uses 4000. + -- (must be > 0) + , outputLength :: Int + -- ^ the number of bytes to generate out of PBKDF2 + -- (must not be negative) } +-- | Report parameters no PBKDF2 entry point accepts. +-- +-- An iteration count below one derives a key that is not a key at all, and a +-- negative output length asks for a buffer that cannot be allocated. +validateParameters :: Parameters -> Maybe CryptoError +validateParameters params + | iterCounts params < 1 = Just CryptoError_ParameterInvalid + | outputLength params < 0 = Just CryptoError_ParameterInvalid + | otherwise = Nothing + -- | generate the pbkdf2 key derivation function from the output -generate :: (ByteArrayAccess password, ByteArrayAccess salt, ByteArray ba) - => PRF password - -> Parameters - -> password - -> salt - -> ba +-- +-- Parameters outside the ranges documented for t'Parameters' raise +-- 'CryptoError_ParameterInvalid'; 'tryGenerate' reports the same condition as +-- 'CryptoFailed'. +generate + :: (ByteArrayAccess password, ByteArrayAccess salt, ByteArray ba) + => PRF password + -> Parameters + -> password + -> salt + -> ba generate prf params password salt = - B.allocAndFreeze (outputLength params) $ \p -> do + throwCryptoError (tryGenerate prf params password salt) + +-- | generate the pbkdf2 key derivation function from the output, reporting +-- parameters the implementation refuses rather than raising. +tryGenerate + :: (ByteArrayAccess password, ByteArrayAccess salt, ByteArray ba) + => PRF password + -> Parameters + -> password + -> salt + -> CryptoFailable ba +tryGenerate prf params password salt + | Just err <- validateParameters params = CryptoFailed err + | otherwise = CryptoPassed $ B.allocAndFreeze (outputLength params) $ \p -> do memSet p 0 (outputLength params) loop 1 (outputLength params) p where !runPRF = prf password - !hLen = B.length $ runPRF B.empty + !hLen = B.length $ runPRF B.empty -- run the following f function on each complete chunk. -- when having an incomplete chunk, we call partial. @@ -76,100 +117,175 @@ -- U1 = PRF(pass,salt || BE32(i)) -- Uc = PRF(pass,Uc-1) loop iterNb len p - | len == 0 = return () + | len == 0 = return () | len < hLen = partial iterNb len p - | otherwise = do - let applyMany 0 _ = return () + | otherwise = do + let applyMany 0 _ = return () applyMany i uprev = do let uData = runPRF uprev B.withByteArray uData $ \u -> memXor p p u hLen - applyMany (i-1) uData + applyMany (i - 1) uData applyMany (iterCounts params) (B.convert salt `B.append` toBS iterNb) - loop (iterNb+1) (len - hLen) (p `plusPtr` hLen) + loop (iterNb + 1) (len - hLen) (p `plusPtr` hLen) partial iterNb len p = allocaBytesAligned hLen 8 $ \tmp -> do let applyMany :: Int -> Bytes -> IO () - applyMany 0 _ = return () + applyMany 0 _ = return () applyMany i uprev = do let uData = runPRF uprev B.withByteArray uData $ \u -> memXor tmp tmp u hLen - applyMany (i-1) uData + applyMany (i - 1) uData memSet tmp 0 hLen applyMany (iterCounts params) (B.convert salt `B.append` toBS iterNb) memCopy p tmp len -- big endian encoding of Word32 toBS :: ByteArray ba => Word32 -> ba - toBS w = B.pack [a,b,c,d] - where a = fromIntegral (w `shiftR` 24) - b = fromIntegral ((w `shiftR` 16) .&. 0xff) - c = fromIntegral ((w `shiftR` 8) .&. 0xff) - d = fromIntegral (w .&. 0xff) -{-# NOINLINE generate #-} + toBS w = B.pack [a, b, c, d] + where + a = fromIntegral (w `shiftR` 24) + b = fromIntegral ((w `shiftR` 16) .&. 0xff) + c = fromIntegral ((w `shiftR` 8) .&. 0xff) + d = fromIntegral (w .&. 0xff) +{-# NOINLINE tryGenerate #-} -fastPBKDF2_SHA1 :: (ByteArrayAccess password, ByteArrayAccess salt, ByteArray out) - => Parameters - -> password - -> salt - -> out +-- | PBKDF2 with HMAC-SHA1, using the bundled C implementation. +-- +-- Parameters outside the ranges documented for t'Parameters' raise +-- 'CryptoError_ParameterInvalid'; 'tryFastPBKDF2_SHA1' reports the same condition +-- as 'CryptoFailed'. +fastPBKDF2_SHA1 + :: (ByteArrayAccess password, ByteArrayAccess salt, ByteArray out) + => Parameters + -> password + -> salt + -> out fastPBKDF2_SHA1 params password salt = - B.allocAndFreeze (outputLength params) $ \outPtr -> - B.withByteArray password $ \passPtr -> - B.withByteArray salt $ \saltPtr -> - c_crypton_fastpbkdf2_hmac_sha1 - passPtr (fromIntegral $ B.length password) - saltPtr (fromIntegral $ B.length salt) - (fromIntegral $ iterCounts params) - outPtr (fromIntegral $ outputLength params) + throwCryptoError (tryFastPBKDF2_SHA1 params password salt) -fastPBKDF2_SHA256 :: (ByteArrayAccess password, ByteArrayAccess salt, ByteArray out) - => Parameters - -> password - -> salt - -> out +-- | PBKDF2 with HMAC-SHA1, reporting parameters the implementation refuses +-- rather than raising. +tryFastPBKDF2_SHA1 + :: (ByteArrayAccess password, ByteArrayAccess salt, ByteArray out) + => Parameters + -> password + -> salt + -> CryptoFailable out +tryFastPBKDF2_SHA1 params password salt + | Just err <- validateParameters params = CryptoFailed err + | otherwise = CryptoPassed $ B.allocAndFreeze (outputLength params) $ \outPtr -> + B.withByteArray password $ \passPtr -> + B.withByteArray salt $ \saltPtr -> + c_crypton_fastpbkdf2_hmac_sha1 + passPtr + (fromIntegral $ B.length password) + saltPtr + (fromIntegral $ B.length salt) + (fromIntegral $ iterCounts params) + outPtr + (fromIntegral $ outputLength params) + +-- | PBKDF2 with HMAC-SHA256, using the bundled C implementation. +-- +-- Parameters outside the ranges documented for t'Parameters' raise +-- 'CryptoError_ParameterInvalid'; 'tryFastPBKDF2_SHA256' reports the same condition +-- as 'CryptoFailed'. +fastPBKDF2_SHA256 + :: (ByteArrayAccess password, ByteArrayAccess salt, ByteArray out) + => Parameters + -> password + -> salt + -> out fastPBKDF2_SHA256 params password salt = - B.allocAndFreeze (outputLength params) $ \outPtr -> - B.withByteArray password $ \passPtr -> - B.withByteArray salt $ \saltPtr -> - c_crypton_fastpbkdf2_hmac_sha256 - passPtr (fromIntegral $ B.length password) - saltPtr (fromIntegral $ B.length salt) - (fromIntegral $ iterCounts params) - outPtr (fromIntegral $ outputLength params) + throwCryptoError (tryFastPBKDF2_SHA256 params password salt) -fastPBKDF2_SHA512 :: (ByteArrayAccess password, ByteArrayAccess salt, ByteArray out) - => Parameters - -> password - -> salt - -> out +-- | PBKDF2 with HMAC-SHA256, reporting parameters the implementation refuses +-- rather than raising. +tryFastPBKDF2_SHA256 + :: (ByteArrayAccess password, ByteArrayAccess salt, ByteArray out) + => Parameters + -> password + -> salt + -> CryptoFailable out +tryFastPBKDF2_SHA256 params password salt + | Just err <- validateParameters params = CryptoFailed err + | otherwise = CryptoPassed $ B.allocAndFreeze (outputLength params) $ \outPtr -> + B.withByteArray password $ \passPtr -> + B.withByteArray salt $ \saltPtr -> + c_crypton_fastpbkdf2_hmac_sha256 + passPtr + (fromIntegral $ B.length password) + saltPtr + (fromIntegral $ B.length salt) + (fromIntegral $ iterCounts params) + outPtr + (fromIntegral $ outputLength params) + +-- | PBKDF2 with HMAC-SHA512, using the bundled C implementation. +-- +-- Parameters outside the ranges documented for t'Parameters' raise +-- 'CryptoError_ParameterInvalid'; 'tryFastPBKDF2_SHA512' reports the same condition +-- as 'CryptoFailed'. +fastPBKDF2_SHA512 + :: (ByteArrayAccess password, ByteArrayAccess salt, ByteArray out) + => Parameters + -> password + -> salt + -> out fastPBKDF2_SHA512 params password salt = - B.allocAndFreeze (outputLength params) $ \outPtr -> - B.withByteArray password $ \passPtr -> - B.withByteArray salt $ \saltPtr -> - c_crypton_fastpbkdf2_hmac_sha512 - passPtr (fromIntegral $ B.length password) - saltPtr (fromIntegral $ B.length salt) - (fromIntegral $ iterCounts params) - outPtr (fromIntegral $ outputLength params) + throwCryptoError (tryFastPBKDF2_SHA512 params password salt) +-- | PBKDF2 with HMAC-SHA512, reporting parameters the implementation refuses +-- rather than raising. +tryFastPBKDF2_SHA512 + :: (ByteArrayAccess password, ByteArrayAccess salt, ByteArray out) + => Parameters + -> password + -> salt + -> CryptoFailable out +tryFastPBKDF2_SHA512 params password salt + | Just err <- validateParameters params = CryptoFailed err + | otherwise = CryptoPassed $ B.allocAndFreeze (outputLength params) $ \outPtr -> + B.withByteArray password $ \passPtr -> + B.withByteArray salt $ \saltPtr -> + c_crypton_fastpbkdf2_hmac_sha512 + passPtr + (fromIntegral $ B.length password) + saltPtr + (fromIntegral $ B.length salt) + (fromIntegral $ iterCounts params) + outPtr + (fromIntegral $ outputLength params) foreign import ccall unsafe "crypton_pbkdf2.h crypton_fastpbkdf2_hmac_sha1" - c_crypton_fastpbkdf2_hmac_sha1 :: Ptr Word8 -> CSize - -> Ptr Word8 -> CSize - -> CUInt - -> Ptr Word8 -> CSize - -> IO () + c_crypton_fastpbkdf2_hmac_sha1 + :: Ptr Word8 + -> CSize + -> Ptr Word8 + -> CSize + -> CUInt + -> Ptr Word8 + -> CSize + -> IO () foreign import ccall unsafe "crypton_pbkdf2.h crypton_fastpbkdf2_hmac_sha256" - c_crypton_fastpbkdf2_hmac_sha256 :: Ptr Word8 -> CSize - -> Ptr Word8 -> CSize - -> CUInt - -> Ptr Word8 -> CSize - -> IO () + c_crypton_fastpbkdf2_hmac_sha256 + :: Ptr Word8 + -> CSize + -> Ptr Word8 + -> CSize + -> CUInt + -> Ptr Word8 + -> CSize + -> IO () foreign import ccall unsafe "crypton_pbkdf2.h crypton_fastpbkdf2_hmac_sha512" - c_crypton_fastpbkdf2_hmac_sha512 :: Ptr Word8 -> CSize - -> Ptr Word8 -> CSize - -> CUInt - -> Ptr Word8 -> CSize - -> IO () + c_crypton_fastpbkdf2_hmac_sha512 + :: Ptr Word8 + -> CSize + -> Ptr Word8 + -> CSize + -> CUInt + -> Ptr Word8 + -> CSize + -> IO () diff --git a/Crypto/KDF/Scrypt.hs b/Crypto/KDF/Scrypt.hs --- a/Crypto/KDF/Scrypt.hs +++ b/Crypto/KDF/Scrypt.hs @@ -1,3 +1,6 @@ +{-# LANGUAGE BangPatterns #-} +{-# LANGUAGE ForeignFunctionInterface #-} + -- | -- Module : Crypto.KDF.Scrypt -- License : BSD-style @@ -8,57 +11,85 @@ -- Scrypt key derivation function as defined in Colin Percival's paper -- "Stronger Key Derivation via Sequential Memory-Hard Functions" -- . --- -{-# LANGUAGE BangPatterns #-} -{-# LANGUAGE ForeignFunctionInterface #-} -module Crypto.KDF.Scrypt - ( Parameters(..) - , generate - ) where +module Crypto.KDF.Scrypt ( + Parameters (..), + generate, + tryGenerate, +) where -import Data.Word -import Foreign.Marshal.Alloc -import Foreign.Ptr (Ptr, plusPtr) -import Control.Monad (forM_) +import Control.Monad (forM_) +import Data.Word +import Foreign.Marshal.Alloc +import Foreign.Ptr (Ptr, plusPtr) -import Crypto.Hash (SHA256(..)) -import qualified Crypto.KDF.PBKDF2 as PBKDF2 -import Crypto.Internal.Compat (popCount, unsafeDoIO) -import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess) +import Crypto.Error +import Crypto.Hash (SHA256 (..)) +import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess) import qualified Crypto.Internal.ByteArray as B +import Crypto.Internal.Compat (popCount, unsafeDoIO) +import qualified Crypto.KDF.PBKDF2 as PBKDF2 -- | Parameters for Scrypt data Parameters = Parameters - { n :: Word64 -- ^ Cpu/Memory cost ratio. must be a power of 2 greater than 1. also known as N. - , r :: Int -- ^ Must satisfy r * p < 2^30 - , p :: Int -- ^ Must satisfy r * p < 2^30 - , outputLength :: Int -- ^ the number of bytes to generate out of Scrypt + { n :: Word64 + -- ^ Cpu/Memory cost ratio. must be a power of 2 greater than 1. also known as N. + , r :: Int + -- ^ Must satisfy r * p < 2^30 + , p :: Int + -- ^ Must satisfy r * p < 2^30 + , outputLength :: Int + -- ^ the number of bytes to generate out of Scrypt } foreign import ccall "crypton_scrypt_smix" - ccrypton_scrypt_smix :: Ptr Word8 -> Word32 -> Word64 -> Ptr Word8 -> Ptr Word8 -> IO () + ccrypton_scrypt_smix + :: Ptr Word8 -> Word32 -> Word64 -> Ptr Word8 -> Ptr Word8 -> IO () -- | Generate the scrypt key derivation data -generate :: (ByteArrayAccess password, ByteArrayAccess salt, ByteArray output) - => Parameters - -> password - -> salt - -> output -generate params password salt - | r params * p params >= 0x40000000 = - error "Scrypt: invalid parameters: r and p constraint" - | popCount (n params) /= 1 = - error "Scrypt: invalid parameters: n not a power of 2" - | otherwise = unsafeDoIO $ do +-- +-- Parameters the implementation refuses raise a 'CryptoError'; 'tryGenerate' +-- reports the same condition as 'CryptoFailed'. +generate + :: (ByteArrayAccess password, ByteArrayAccess salt, ByteArray output) + => Parameters + -> password + -> salt + -> output +generate params password salt = throwCryptoError (tryGenerate params password salt) + +-- | Generate the scrypt key derivation data, reporting parameters the +-- implementation refuses rather than raising. +-- +-- @n@ has to be a power of two, and @r@ times @p@ has to stay below 2^30. +tryGenerate + :: (ByteArrayAccess password, ByteArrayAccess salt, ByteArray output) + => Parameters + -> password + -> salt + -> CryptoFailable output +tryGenerate params password salt + | r params * p params >= 0x40000000 = CryptoFailed CryptoError_ParameterInvalid + | popCount (n params) /= 1 = CryptoFailed CryptoError_ParameterInvalid + | otherwise = CryptoPassed $ unsafeDoIO $ do let b = PBKDF2.generate prf (PBKDF2.Parameters 1 intLen) password salt :: B.Bytes newSalt <- B.copy b $ \bPtr -> - allocaBytesAligned (128*(fromIntegral $ n params)*(r params)) 8 $ \v -> - allocaBytesAligned (256*r params + 64) 8 $ \xy -> do - forM_ [0..(p params-1)] $ \i -> - ccrypton_scrypt_smix (bPtr `plusPtr` (i * 128 * (r params))) - (fromIntegral $ r params) (n params) v xy + allocaBytesAligned (128 * (fromIntegral $ n params) * (r params)) 8 $ \v -> + allocaBytesAligned (256 * r params + 64) 8 $ \xy -> do + forM_ [0 .. (p params - 1)] $ \i -> + ccrypton_scrypt_smix + (bPtr `plusPtr` (i * 128 * (r params))) + (fromIntegral $ r params) + (n params) + v + xy - return $ PBKDF2.generate prf (PBKDF2.Parameters 1 (outputLength params)) password (newSalt :: B.Bytes) - where prf = PBKDF2.prfHMAC SHA256 - intLen = p params * 128 * r params -{-# NOINLINE generate #-} + return $ + PBKDF2.generate + prf + (PBKDF2.Parameters 1 (outputLength params)) + password + (newSalt :: B.Bytes) + where + prf = PBKDF2.prfHMAC SHA256 + intLen = p params * 128 * r params +{-# NOINLINE tryGenerate #-} diff --git a/Crypto/MAC/CMAC.hs b/Crypto/MAC/CMAC.hs --- a/Crypto/MAC/CMAC.hs +++ b/Crypto/MAC/CMAC.hs @@ -1,3 +1,6 @@ +{-# LANGUAGE BangPatterns #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + -- | -- Module : Crypto.MAC.CMAC -- License : BSD-style @@ -8,20 +11,20 @@ -- Provide the CMAC (Cipher based Message Authentification Code) base algorithm. -- -- --- -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -module Crypto.MAC.CMAC - ( cmac - , CMAC - , subKeys - ) where +module Crypto.MAC.CMAC ( + cmac, + CMAC, + subKeys, +) where -import Data.Word -import Data.Bits (setBit, testBit, shiftL) -import Data.List (foldl') +import Data.Bits (setBit, shiftL, testBit) +import Data.ByteString (ByteString) +import qualified Data.ByteString as S +import Data.Word -import Crypto.Cipher.Types -import Crypto.Internal.ByteArray (ByteArrayAccess, ByteArray, Bytes) +import Crypto.Cipher.Types +import Crypto.Cipher.Types.Block (IV (..)) +import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess, Bytes) import qualified Crypto.Internal.ByteArray as B -- | Authentication code @@ -29,70 +32,100 @@ deriving (ByteArrayAccess) instance Eq (CMAC a) where - CMAC b1 == CMAC b2 = B.constEq b1 b2 + CMAC b1 == CMAC b2 = B.constEq b1 b2 -- | compute a MAC using the supplied cipher -cmac :: (ByteArrayAccess bin, BlockCipher cipher) - => cipher -- ^ key to compute CMAC with - -> bin -- ^ input message - -> CMAC cipher -- ^ output tag -cmac k msg = - CMAC $ foldl' (\c m -> ecbEncrypt k $ bxor c m) zeroV ms +cmac + :: (ByteArrayAccess bin, BlockCipher cipher) + => cipher + -- ^ key to compute CMAC with + -> bin + -- ^ input message + -> CMAC cipher + -- ^ output tag +cmac k msg = CMAC $ B.convert $ step (chain zeroV whole) final where bytes = blockSize k - zeroV = B.replicate bytes 0 :: Bytes + zeroV = S.replicate bytes 0 (k1, k2) = subKeys k - ms = cmacChunks k k1 k2 $ B.convert msg -cmacChunks :: (BlockCipher k, ByteArray ba) => k -> ba -> ba -> ba -> [ba] -cmacChunks k k1 k2 = rec' where - rec' msg - | B.null tl = if lack == 0 - then [bxor k1 hd] - else [bxor k2 $ hd `B.append` B.pack (0x80 : replicate (lack - 1) 0)] - | otherwise = hd : rec' tl - where - bytes = blockSize k - (hd, tl) = B.splitAt bytes msg - lack = bytes - B.length hd + -- The message is held as a ByteString and sliced, never consumed. 'Bytes' + -- has no shared representation, so splitting one repeatedly -- which is + -- what this used to do, once per block -- copied whatever was left of the + -- message each time, and so the message about n/2 times in all. + msgBytes = B.convert msg :: ByteString + msgLen = S.length msgBytes + -- the last block is the one the subkeys are for, and it is a whole block + -- only when there is one to be had + lastLen + | msgLen > 0 && msgLen `mod` bytes == 0 = bytes + | otherwise = msgLen `mod` bytes + (whole, rest) = S.splitAt (msgLen - lastLen) msgBytes + final + | lastLen == bytes = bxor k1 rest + | otherwise = + bxor k2 $ + S.concat [rest, S.singleton 0x80, S.replicate (bytes - lastLen - 1) 0] + + -- CMAC chains its blocks the way CBC does, so the running state is the + -- last ciphertext block of a CBC encryption. Handing the cipher a chunk + -- at a time rather than a block at a time is what makes that worth saying: + -- for AES it reaches the C implementation of CBC, where a block at a time + -- reached a foreign call per sixteen bytes. + chunkBytes = bytes * 2048 + chain !c bs + | S.null bs = c + | otherwise = + let (hd, tl) = S.splitAt chunkBytes bs + out = cbcEncrypt k (IV c) hd + in chain (S.drop (S.length hd - bytes) out) tl + + step c m = ecbEncrypt k (bxor c m) :: ByteString + -- | make sub-keys used in CMAC -subKeys :: (BlockCipher k, ByteArray ba) - => k -- ^ key to compute CMAC with - -> (ba, ba) -- ^ sub-keys to compute CMAC -subKeys k = (k1, k2) where +subKeys + :: (BlockCipher k, ByteArray ba) + => k + -- ^ key to compute CMAC with + -> (ba, ba) + -- ^ sub-keys to compute CMAC +subKeys k = (k1, k2) + where ipt = cipherIPT k k0 = ecbEncrypt k $ B.replicate (blockSize k) 0 k1 = subKey ipt k0 k2 = subKey ipt k1 -- polynomial multiply operation to culculate subkey -subKey :: (ByteArray ba) => [Word8] -> ba -> ba -subKey ipt ws = case B.unpack ws of - [] -> B.empty - w:_ | testBit w 7 -> B.pack ipt `bxor` shiftL1 ws - | otherwise -> shiftL1 ws +subKey :: ByteArray ba => [Word8] -> ba -> ba +subKey ipt ws = case B.unpack ws of + [] -> B.empty + w : _ + | testBit w 7 -> B.pack ipt `bxor` shiftL1 ws + | otherwise -> shiftL1 ws -shiftL1 :: (ByteArray ba) => ba -> ba +shiftL1 :: ByteArray ba => ba -> ba shiftL1 = B.pack . shiftL1W . B.unpack shiftL1W :: [Word8] -> [Word8] -shiftL1W [] = [] -shiftL1W ws@(_:ns) = rec' $ zip ws (ns ++ [0]) where - rec' [] = [] - rec' ((x,y):ps) = w : rec' ps +shiftL1W [] = [] +shiftL1W ws@(_ : ns) = rec' $ zip ws (ns ++ [0]) + where + rec' [] = [] + rec' ((x, y) : ps) = w : rec' ps where - w | testBit y 7 = setBit sl1 0 - | otherwise = sl1 - where sl1 = shiftL x 1 + w + | testBit y 7 = setBit sl1 0 + | otherwise = sl1 + where + sl1 = shiftL x 1 bxor :: ByteArray ba => ba -> ba -> ba -bxor = B.xor - +bxor = B.bxor ----- - cipherIPT :: BlockCipher k => k -> [Word8] cipherIPT = expandIPT . blockSize @@ -104,29 +137,44 @@ -- It represents that the smallest irreducible binary polynomial of degree 128 -- is x^128 + x^7 + x^2 + x^1 + 1. data IPolynomial - = Q Int Int Int + = Q Int Int Int + --- | T Int iPolynomial :: Int -> Maybe IPolynomial -iPolynomial = d where - d 64 = Just $ Q 4 3 1 - d 128 = Just $ Q 7 2 1 - d _ = Nothing +iPolynomial = d + where + d 64 = Just $ Q 4 3 1 + d 128 = Just $ Q 7 2 1 + d _ = Nothing -- Expand a tail bit pattern of irreducible binary polynomial expandIPT :: Int -> [Word8] -expandIPT bytes = expandIPT' bytes ipt where - ipt = maybe (error $ "Irreducible binary polynomial not defined against " ++ show nb ++ " bit") id - $ iPolynomial nb +expandIPT bytes = expandIPT' bytes ipt + where + ipt = + maybe + ( error $ + "Irreducible binary polynomial not defined against " ++ show nb ++ " bit" + ) + id + $ iPolynomial nb nb = bytes * 8 -- Expand a tail bit pattern of irreducible binary polynomial -expandIPT' :: Int -- ^ width in byte - -> IPolynomial -- ^ irreducible binary polynomial definition - -> [Word8] -- ^ result bit pattern +expandIPT' + :: Int + -- ^ width in byte + -> IPolynomial + -- ^ irreducible binary polynomial definition + -> [Word8] + -- ^ result bit pattern expandIPT' bytes (Q x y z) = reverse . setB x . setB y . setB z . setB 0 $ replicate bytes 0 where - setB i ws = hd ++ setBit (head tl) r : tail tl where + setB i ws = case tl of + (a : as) -> hd ++ setBit a r : as + _ -> error "expandIPT'" + where (q, r) = i `quotRem` 8 (hd, tl) = splitAt q ws diff --git a/Crypto/MAC/HMAC.hs b/Crypto/MAC/HMAC.hs --- a/Crypto/MAC/HMAC.hs +++ b/Crypto/MAC/HMAC.hs @@ -1,3 +1,6 @@ +{-# LANGUAGE BangPatterns #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + -- | -- Module : Crypto.MAC.HMAC -- License : BSD-style @@ -7,117 +10,136 @@ -- -- Provide the HMAC (Hash based Message Authentification Code) base algorithm. -- --- -{-# LANGUAGE BangPatterns #-} -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -module Crypto.MAC.HMAC - ( hmac - , hmacLazy - , HMAC(..) +module Crypto.MAC.HMAC ( + hmac, + hmacLazy, + HMAC (..), + -- * Incremental - , Context(..) - , initialize - , update - , updates - , finalize - ) where + Context (..), + initialize, + update, + updates, + finalize, +) where -import Crypto.Hash hiding (Context) +import Crypto.Hash hiding (Context) import qualified Crypto.Hash as Hash (Context) -import Crypto.Hash.IO -import Crypto.Internal.ByteArray (ScrubbedBytes, ByteArrayAccess) +import Crypto.Hash.IO +import Crypto.Internal.ByteArray (ByteArrayAccess, ScrubbedBytes) import qualified Crypto.Internal.ByteArray as B -import Data.Memory.PtrMethods -import Crypto.Internal.Compat +import Crypto.Internal.Compat import qualified Data.ByteString.Lazy as L +import Data.Memory.PtrMethods -- | Represent an HMAC that is a phantom type with the hash used to produce the mac. -- -- The Eq instance is constant time. No Show instance is provided, to avoid -- printing by mistake. -newtype HMAC a = HMAC { hmacGetDigest :: Digest a } +newtype HMAC a = HMAC {hmacGetDigest :: Digest a} deriving (ByteArrayAccess) instance Eq (HMAC a) where (HMAC b1) == (HMAC b2) = B.constEq b1 b2 -- | Compute a MAC using the supplied hashing function -hmac :: (ByteArrayAccess key, ByteArrayAccess message, HashAlgorithm a) - => key -- ^ Secret key - -> message -- ^ Message to MAC - -> HMAC a +hmac + :: (ByteArrayAccess key, ByteArrayAccess message, HashAlgorithm a) + => key + -- ^ Secret key + -> message + -- ^ Message to MAC + -> HMAC a hmac secret msg = finalize $ updates (initialize secret) [msg] -- | Compute a MAC using the supplied hashing function, for a lazy input -hmacLazy :: (ByteArrayAccess key, HashAlgorithm a) - => key -- ^ Secret key - -> L.ByteString -- ^ Message to MAC - -> HMAC a +hmacLazy + :: (ByteArrayAccess key, HashAlgorithm a) + => key + -- ^ Secret key + -> L.ByteString + -- ^ Message to MAC + -> HMAC a hmacLazy secret msg = finalize $ updates (initialize secret) (L.toChunks msg) -- | Represent an ongoing HMAC state, that can be appended with 'update' --- and finalize to an HMAC with 'hmacFinalize' +-- and finalize to an HMAC with 'finalize' data Context hashalg = Context !(Hash.Context hashalg) !(Hash.Context hashalg) -- | Initialize a new incremental HMAC context -initialize :: (ByteArrayAccess key, HashAlgorithm a) - => key -- ^ Secret key - -> Context a +initialize + :: (ByteArrayAccess key, HashAlgorithm a) + => key + -- ^ Secret key + -> Context a initialize secret = unsafeDoIO (doHashAlg undefined) where - doHashAlg :: HashAlgorithm a => a -> IO (Context a) - doHashAlg alg = do - !withKey <- case B.length secret `compare` blockSize of - EQ -> return $ B.withByteArray secret - LT -> do key <- B.alloc blockSize $ \k -> do - memSet k 0 blockSize - B.withByteArray secret $ \s -> memCopy k s (B.length secret) - return $ B.withByteArray (key :: ScrubbedBytes) - GT -> do - -- hash the secret key - ctx <- hashMutableInitWith alg - hashMutableUpdate ctx secret - digest <- hashMutableFinalize ctx - hashMutableReset ctx - -- pad it if necessary - if digestSize < blockSize - then do - key <- B.alloc blockSize $ \k -> do - memSet k 0 blockSize - B.withByteArray digest $ \s -> memCopy k s (B.length digest) - return $ B.withByteArray (key :: ScrubbedBytes) - else - return $ B.withByteArray digest - (inner, outer) <- withKey $ \keyPtr -> - (,) <$> B.alloc blockSize (\p -> memXorWith p 0x36 keyPtr blockSize) - <*> B.alloc blockSize (\p -> memXorWith p 0x5c keyPtr blockSize) - return $ Context (hashUpdates initCtx [outer :: ScrubbedBytes]) - (hashUpdates initCtx [inner :: ScrubbedBytes]) - where - blockSize = hashBlockSize alg - digestSize = hashDigestSize alg - initCtx = hashInitWith alg + doHashAlg :: HashAlgorithm a => a -> IO (Context a) + doHashAlg alg = do + !withKey <- case B.length secret `compare` blockSize of + EQ -> return $ B.withByteArray secret + LT -> do + key <- B.alloc blockSize $ \k -> do + memSet k 0 blockSize + B.withByteArray secret $ \s -> memCopy k s (B.length secret) + return $ B.withByteArray (key :: ScrubbedBytes) + GT -> do + -- hash the secret key + ctx <- hashMutableInitWith alg + hashMutableUpdate ctx secret + digest <- hashMutableFinalize ctx + hashMutableReset ctx + -- pad it if necessary + if digestSize < blockSize + then do + key <- B.alloc blockSize $ \k -> do + memSet k 0 blockSize + B.withByteArray digest $ \s -> memCopy k s (B.length digest) + return $ B.withByteArray (key :: ScrubbedBytes) + else + return $ B.withByteArray digest + (inner, outer) <- withKey $ \keyPtr -> + (,) + <$> B.alloc blockSize (\p -> memXorWith p 0x36 keyPtr blockSize) + <*> B.alloc blockSize (\p -> memXorWith p 0x5c keyPtr blockSize) + return $ + Context + (hashUpdates initCtx [outer :: ScrubbedBytes]) + (hashUpdates initCtx [inner :: ScrubbedBytes]) + where + blockSize = hashBlockSize alg + digestSize = hashDigestSize alg + initCtx = hashInitWith alg {-# NOINLINE initialize #-} -- | Incrementally update a HMAC context -update :: (ByteArrayAccess message, HashAlgorithm a) - => Context a -- ^ Current HMAC context - -> message -- ^ Message to append to the MAC - -> Context a -- ^ Updated HMAC context +update + :: (ByteArrayAccess message, HashAlgorithm a) + => Context a + -- ^ Current HMAC context + -> message + -- ^ Message to append to the MAC + -> Context a + -- ^ Updated HMAC context update (Context octx ictx) msg = Context octx (hashUpdate ictx msg) -- | Increamentally update a HMAC context with multiple inputs -updates :: (ByteArrayAccess message, HashAlgorithm a) - => Context a -- ^ Current HMAC context - -> [message] -- ^ Messages to append to the MAC - -> Context a -- ^ Updated HMAC context +updates + :: (ByteArrayAccess message, HashAlgorithm a) + => Context a + -- ^ Current HMAC context + -> [message] + -- ^ Messages to append to the MAC + -> Context a + -- ^ Updated HMAC context updates (Context octx ictx) msgs = Context octx (hashUpdates ictx msgs) -- | Finalize a HMAC context and return the HMAC. -finalize :: HashAlgorithm a - => Context a - -> HMAC a +finalize + :: HashAlgorithm a + => Context a + -> HMAC a finalize (Context octx ictx) = HMAC $ hashFinalize $ hashUpdates octx [hashFinalize ictx] diff --git a/Crypto/MAC/KMAC.hs b/Crypto/MAC/KMAC.hs --- a/Crypto/MAC/KMAC.hs +++ b/Crypto/MAC/KMAC.hs @@ -1,3 +1,7 @@ +{-# LANGUAGE BangPatterns #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} +{-# LANGUAGE ScopedTypeVariables #-} + -- | -- Module : Crypto.MAC.KMAC -- License : BSD-style @@ -7,38 +11,41 @@ -- -- Provide the KMAC (Keccak Message Authentication Code) algorithm, derived from -- the SHA-3 base algorithm Keccak and defined in NIST SP800-185. --- -{-# LANGUAGE BangPatterns #-} -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -{-# LANGUAGE ScopedTypeVariables #-} -module Crypto.MAC.KMAC - ( HashSHAKE - , kmac - , KMAC(..) +module Crypto.MAC.KMAC ( + HashSHAKE, + kmac, + KMAC (..), + -- * Incremental - , Context - , initialize - , update - , updates - , finalize - ) where + Context, + initialize, + update, + updates, + finalize, +) where import qualified Crypto.Hash as H -import Crypto.Hash.SHAKE (HashSHAKE(..)) -import Crypto.Hash.Types (HashAlgorithm(..), Digest(..)) +import Crypto.Hash.SHAKE (HashSHAKE (..)) +import Crypto.Hash.Types (Digest (..), HashAlgorithm (..)) import qualified Crypto.Hash.Types as H -import Crypto.Internal.Builder -import Crypto.Internal.Imports -import Foreign.Ptr (Ptr) -import Data.Bits (shiftR) -import Data.ByteArray (ByteArrayAccess) +import Crypto.Internal.Builder +import Crypto.Internal.ByteArray (allocAndFreezePrim) +import Crypto.Internal.Imports +import Data.Bits (shiftR) +import Data.ByteArray (ByteArrayAccess) import qualified Data.ByteArray as B - +import Foreign.Ptr (Ptr) -- cSHAKE -cshakeInit :: forall a name string prefix . (HashSHAKE a, ByteArrayAccess name, ByteArrayAccess string, ByteArrayAccess prefix) - => name -> string -> prefix -> H.Context a +cshakeInit + :: forall a name string prefix + . ( HashSHAKE a + , ByteArrayAccess name + , ByteArrayAccess string + , ByteArrayAccess prefix + ) + => name -> string -> prefix -> H.Context a cshakeInit n s p = H.Context $ B.allocAndFreeze c $ \(ptr :: Ptr (H.Context a)) -> do hashInternalInit ptr B.withByteArray b $ \d -> hashInternalUpdate ptr d (fromIntegral $ B.length b) @@ -49,24 +56,28 @@ x = encodeString n <> encodeString s b = buildAndFreeze (bytepad x w) :: B.Bytes -cshakeUpdate :: (HashSHAKE a, ByteArrayAccess ba) - => H.Context a -> ba -> H.Context a +cshakeUpdate + :: (HashSHAKE a, ByteArrayAccess ba) + => H.Context a -> ba -> H.Context a cshakeUpdate = H.hashUpdate -cshakeUpdates :: (HashSHAKE a, ByteArrayAccess ba) - => H.Context a -> [ba] -> H.Context a +cshakeUpdates + :: (HashSHAKE a, ByteArrayAccess ba) + => H.Context a -> [ba] -> H.Context a cshakeUpdates = H.hashUpdates -cshakeFinalize :: forall a suffix . (HashSHAKE a, ByteArrayAccess suffix) - => H.Context a -> suffix -> Digest a -cshakeFinalize !c s = - Digest $ B.allocAndFreeze (hashDigestSize (undefined :: a)) $ \dig -> do - ((!_) :: B.Bytes) <- B.copy c $ \(ctx :: Ptr (H.Context a)) -> do - B.withByteArray s $ \d -> - hashInternalUpdate ctx d (fromIntegral $ B.length s) - cshakeInternalFinalize ctx dig - return () - +cshakeFinalize + :: forall a suffix + . (HashSHAKE a, ByteArrayAccess suffix) + => H.Context a -> suffix -> Digest a +cshakeFinalize !c s = Digest $ + allocAndFreezePrim (hashDigestSize (undefined :: a)) $ + \(dig :: Ptr (Digest a)) -> do + ((!_) :: B.Bytes) <- B.copy c $ \(ctx :: Ptr (H.Context a)) -> do + B.withByteArray s $ \d -> + hashInternalUpdate ctx d (fromIntegral $ B.length s) + cshakeInternalFinalize ctx dig + return () -- KMAC @@ -75,28 +86,31 @@ -- -- The Eq instance is constant time. No Show instance is provided, to avoid -- printing by mistake. -newtype KMAC a = KMAC { kmacGetDigest :: Digest a } - deriving (ByteArrayAccess,NFData) +newtype KMAC a = KMAC {kmacGetDigest :: Digest a} + deriving (ByteArrayAccess, NFData) instance Eq (KMAC a) where (KMAC b1) == (KMAC b2) = B.constEq b1 b2 -- | Compute a KMAC using the supplied customization string and key. -kmac :: (HashSHAKE a, ByteArrayAccess string, ByteArrayAccess key, ByteArrayAccess ba) - => string -> key -> ba -> KMAC a +kmac + :: (HashSHAKE a, ByteArrayAccess string, ByteArrayAccess key, ByteArrayAccess ba) + => string -> key -> ba -> KMAC a kmac str key msg = finalize $ updates (initialize str key) [msg] -- | Represent an ongoing KMAC state, that can be appended with 'update' and --- finalized to a 'KMAC' with 'finalize'. +-- finalized to a t'KMAC' with 'finalize'. newtype Context a = Context (H.Context a) -- | Initialize a new incremental KMAC context with the supplied customization -- string and key. -initialize :: forall a string key . (HashSHAKE a, ByteArrayAccess string, ByteArrayAccess key) - => string -> key -> Context a +initialize + :: forall a string key + . (HashSHAKE a, ByteArrayAccess string, ByteArrayAccess key) + => string -> key -> Context a initialize str key = Context $ cshakeInit n str p where - n = B.pack [75,77,65,67] :: B.Bytes -- "KMAC" + n = B.pack [75, 77, 65, 67] :: B.Bytes -- "KMAC" w = hashBlockSize (undefined :: a) p = buildAndFreeze (bytepad (encodeString key) w) :: B.ScrubbedBytes @@ -109,13 +123,12 @@ updates (Context ctx) = Context . cshakeUpdates ctx -- | Finalize a KMAC context and return the KMAC. -finalize :: forall a . HashSHAKE a => Context a -> KMAC a +finalize :: forall a. HashSHAKE a => Context a -> KMAC a finalize (Context ctx) = KMAC $ cshakeFinalize ctx suffix where l = cshakeOutputLength (undefined :: a) suffix = buildAndFreeze (rightEncode l) :: B.Bytes - -- Utilities bytepad :: Builder -> Int -> Builder @@ -131,14 +144,15 @@ leftEncode x = byte len <> digits where digits = i2osp x - len = fromIntegral (builderLength digits) + len = fromIntegral (builderLength digits) rightEncode :: Int -> Builder rightEncode x = digits <> byte len where digits = i2osp x - len = fromIntegral (builderLength digits) + len = fromIntegral (builderLength digits) i2osp :: Int -> Builder -i2osp i | i >= 256 = i2osp (shiftR i 8) <> byte (fromIntegral i) - | otherwise = byte (fromIntegral i) +i2osp i + | i >= 256 = i2osp (shiftR i 8) <> byte (fromIntegral i) + | otherwise = byte (fromIntegral i) diff --git a/Crypto/MAC/KeyedBlake2.hs b/Crypto/MAC/KeyedBlake2.hs --- a/Crypto/MAC/KeyedBlake2.hs +++ b/Crypto/MAC/KeyedBlake2.hs @@ -1,3 +1,6 @@ +{-# LANGUAGE GeneralizedNewtypeDeriving #-} +{-# LANGUAGE ScopedTypeVariables #-} + -- | -- Module : Crypto.MAC.KeyedBlake2 -- License : BSD-style @@ -7,33 +10,29 @@ -- -- Expose a MAC interface to the keyed Blake2 algorithms -- defined in RFC 7693. --- -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -{-# LANGUAGE ScopedTypeVariables #-} +module Crypto.MAC.KeyedBlake2 ( + HashBlake2, + KeyedBlake2 (..), + keyedBlake2, + keyedBlake2Lazy, -module Crypto.MAC.KeyedBlake2 - ( HashBlake2 - , KeyedBlake2(..) - , keyedBlake2 - , keyedBlake2Lazy -- * Incremental - , Context - , initialize - , update - , updates - , finalize - ) where + Context, + initialize, + update, + updates, + finalize, +) where import qualified Crypto.Hash as H +import Crypto.Hash.Blake2 import qualified Crypto.Hash.Types as H -import Crypto.Hash.Blake2 -import Crypto.Internal.DeepSeq (NFData) +import Crypto.Internal.DeepSeq (NFData) +import Data.ByteArray (ByteArrayAccess) import qualified Data.ByteArray as B -import Data.ByteArray (ByteArrayAccess) import qualified Data.ByteString.Lazy as L -import Foreign.Ptr (Ptr) - +import Foreign.Ptr (Ptr) -- Keyed Blake2b @@ -42,28 +41,31 @@ -- -- The Eq instance is constant time. No Show instance is provided, to avoid -- printing by mistake. -newtype KeyedBlake2 a = KeyedBlake2 { keyedBlake2GetDigest :: H.Digest a } - deriving (ByteArrayAccess,NFData) +newtype KeyedBlake2 a = KeyedBlake2 {keyedBlake2GetDigest :: H.Digest a} + deriving (ByteArrayAccess, NFData) instance Eq (KeyedBlake2 a) where KeyedBlake2 x == KeyedBlake2 y = B.constEq x y -- | Represent an ongoing Blake2 state, that can be appended with 'update' and --- finalized to a 'KeyedBlake2' with 'finalize'. +-- finalized to a t'KeyedBlake2' with 'finalize'. newtype Context a = Context (H.Context a) -- | Initialize a new incremental keyed Blake2 context with the supplied key. -initialize :: forall a key . (HashBlake2 a, ByteArrayAccess key) - => key -> Context a +initialize + :: forall a key + . (HashBlake2 a, ByteArrayAccess key) + => key -> Context a initialize k = Context $ H.Context $ B.allocAndFreeze ctxSz performInit - where ctxSz = H.hashInternalContextSize (undefined :: a) - digestSz = H.hashDigestSize (undefined :: a) - -- cap the number of key bytes at digestSz, - -- since that's the maximal key size - keyByteLen = min (B.length k) digestSz - performInit :: Ptr (H.Context a) -> IO () - performInit ptr = B.withByteArray k - $ \keyPtr -> blake2InternalKeyedInit ptr keyPtr (fromIntegral keyByteLen) + where + ctxSz = H.hashInternalContextSize (undefined :: a) + digestSz = H.hashDigestSize (undefined :: a) + -- cap the number of key bytes at digestSz, + -- since that's the maximal key size + keyByteLen = min (B.length k) digestSz + performInit :: Ptr (H.Context a) -> IO () + performInit ptr = B.withByteArray k $ + \keyPtr -> blake2InternalKeyedInit ptr keyPtr (fromIntegral keyByteLen) -- | Incrementally update a keyed Blake2 context. update :: (HashBlake2 a, ByteArrayAccess ba) => Context a -> ba -> Context a @@ -78,11 +80,13 @@ finalize (Context ctx) = KeyedBlake2 $ H.hashFinalize ctx -- | Compute a Blake2 MAC using the supplied key. -keyedBlake2 :: (HashBlake2 a, ByteArrayAccess key, ByteArrayAccess ba) - => key -> ba -> KeyedBlake2 a +keyedBlake2 + :: (HashBlake2 a, ByteArrayAccess key, ByteArrayAccess ba) + => key -> ba -> KeyedBlake2 a keyedBlake2 key msg = finalize $ update (initialize key) msg -- | Compute a Blake2 MAC using the supplied key, for a lazy input. -keyedBlake2Lazy :: (HashBlake2 a, ByteArrayAccess key) - => key -> L.ByteString -> KeyedBlake2 a +keyedBlake2Lazy + :: (HashBlake2 a, ByteArrayAccess key) + => key -> L.ByteString -> KeyedBlake2 a keyedBlake2Lazy key msg = finalize $ updates (initialize key) (L.toChunks msg) diff --git a/Crypto/MAC/Poly1305.hs b/Crypto/MAC/Poly1305.hs --- a/Crypto/MAC/Poly1305.hs +++ b/Crypto/MAC/Poly1305.hs @@ -1,3 +1,5 @@ +{-# LANGUAGE ForeignFunctionInterface #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} -- | -- Module : Crypto.MAC.Poly1305 @@ -7,30 +9,36 @@ -- Portability : unknown -- -- Poly1305 implementation --- -{-# LANGUAGE ForeignFunctionInterface #-} -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -module Crypto.MAC.Poly1305 - ( Ctx - , State - , Auth(..) - , authTag +module Crypto.MAC.Poly1305 ( + Ctx, + State, + Key, + key, + Auth (..), + authTag, + -- * Incremental MAC Functions - , initialize -- :: State - , update -- :: State -> ByteString -> State - , updates -- :: State -> [ByteString] -> State - , finalize -- :: State -> Auth + initialize, -- :: State + update, -- :: State -> ByteString -> State + updates, -- :: State -> [ByteString] -> State + finalize, -- :: State -> Auth + -- * One-pass MAC function - , auth - ) where + auth, +) where -import Foreign.Ptr -import Foreign.C.Types -import Data.Word -import Crypto.Internal.ByteArray (ByteArrayAccess, ScrubbedBytes, Bytes) +import Crypto.Error +import Crypto.Internal.ByteArray ( + ByteArrayAccess, + Bytes, + ScrubbedBytes, + ) import qualified Crypto.Internal.ByteArray as B -import Crypto.Internal.DeepSeq -import Crypto.Error +import Crypto.Internal.DeepSeq +import Crypto.Internal.Poly1305 (Key (..), key) +import Data.Word +import Foreign.C.Types +import Foreign.Ptr -- | Poly1305 State -- @@ -43,20 +51,27 @@ -- | Poly1305 State. use State instead of Ctx type Ctx = State + {-# DEPRECATED Ctx "use Poly1305 State instead" #-} -- | Poly1305 Auth newtype Auth = Auth Bytes - deriving (ByteArrayAccess,NFData) + deriving (ByteArrayAccess, NFData) authTag :: ByteArrayAccess b => b -> CryptoFailable Auth authTag b | B.length b /= 16 = CryptoFailed $ CryptoError_AuthenticationTagSizeInvalid - | otherwise = CryptoPassed $ Auth $ B.convert b + | otherwise = CryptoPassed $ Auth $ B.convert b instance Eq Auth where (Auth a1) == (Auth a2) = B.constEq a1 a2 +-- | @sizeof(poly1305_ctx)@: the accumulator and the key, either as the +-- limbs the C implementation works in or as the state the assembly keeps, +-- and the buffer for a partial block. See @cbits/crypton_poly1305.h@. +sizeCtx :: Int +sizeCtx = 232 + foreign import ccall unsafe "crypton_poly1305.h crypton_poly1305_init" c_poly1305_init :: Ptr State -> Ptr Word8 -> IO () @@ -67,50 +82,56 @@ c_poly1305_finalize :: Ptr Word8 -> Ptr State -> IO () -- | initialize a Poly1305 context -initialize :: ByteArrayAccess key - => key - -> CryptoFailable State -initialize key - | B.length key /= 32 = CryptoFailed $ CryptoError_MacKeyInvalid - | otherwise = CryptoPassed $ State $ B.allocAndFreeze 84 $ \ctxPtr -> - B.withByteArray key $ \keyPtr -> - c_poly1305_init (castPtr ctxPtr) keyPtr +initialize :: Key -> State +initialize k = State $ B.allocAndFreeze sizeCtx $ \ctxPtr -> + B.withByteArray k $ \keyPtr -> + c_poly1305_init (castPtr ctxPtr) keyPtr {-# NOINLINE initialize #-} -- | update a context with a bytestring update :: ByteArrayAccess ba => State -> ba -> State update (State prevCtx) d = State $ B.copyAndFreeze prevCtx $ \ctxPtr -> B.withByteArray d $ \dataPtr -> - c_poly1305_update (castPtr ctxPtr) dataPtr (fromIntegral $ B.length d) + -- in pieces the C's uint32_t length can hold; the context carries + -- across, so it can simply be called again + B.inCLengths (B.length d) $ \off n -> + c_poly1305_update (castPtr ctxPtr) (dataPtr `plusPtr` off) (fromIntegral n) {-# NOINLINE update #-} -- | updates a context with multiples bytestring updates :: ByteArrayAccess ba => State -> [ba] -> State updates (State prevCtx) d = State $ B.copyAndFreeze prevCtx (loop d) - where loop [] _ = return () - loop (x:xs) ctxPtr = do - B.withByteArray x $ \dataPtr -> c_poly1305_update ctxPtr dataPtr (fromIntegral $ B.length x) - loop xs ctxPtr + where + loop [] _ = return () + loop (x : xs) ctxPtr = do + B.withByteArray x $ \dataPtr -> + B.inCLengths (B.length x) $ \off n -> + c_poly1305_update ctxPtr (dataPtr `plusPtr` off) (fromIntegral n) + loop xs ctxPtr {-# NOINLINE updates #-} -- | finalize the context into a digest bytestring finalize :: State -> Auth finalize (State prevCtx) = Auth $ B.allocAndFreeze 16 $ \dst -> do - _ <- B.copy prevCtx (\ctxPtr -> c_poly1305_finalize dst (castPtr ctxPtr)) :: IO ScrubbedBytes + _ <- + B.copy prevCtx (\ctxPtr -> c_poly1305_finalize dst (castPtr ctxPtr)) + :: IO ScrubbedBytes return () {-# NOINLINE finalize #-} -- | One-pass authorization creation -auth :: (ByteArrayAccess key, ByteArrayAccess ba) => key -> ba -> Auth -auth key d - | B.length key /= 32 = error "Poly1305: key length expected 32 bytes" - | otherwise = Auth $ B.allocAndFreeze 16 $ \dst -> do - _ <- B.alloc 84 (onCtx dst) :: IO ScrubbedBytes - return () +auth :: ByteArrayAccess ba => Key -> ba -> Auth +auth k d = Auth $ B.allocAndFreeze 16 $ \dst -> do + _ <- B.alloc sizeCtx (onCtx dst) :: IO ScrubbedBytes + return () where - onCtx dst ctxPtr = - B.withByteArray key $ \keyPtr -> do - c_poly1305_init (castPtr ctxPtr) keyPtr - B.withByteArray d $ \dataPtr -> - c_poly1305_update (castPtr ctxPtr) dataPtr (fromIntegral $ B.length d) - c_poly1305_finalize dst (castPtr ctxPtr) + onCtx dst ctxPtr = + B.withByteArray k $ \keyPtr -> do + c_poly1305_init (castPtr ctxPtr) keyPtr + B.withByteArray d $ \dataPtr -> + B.inCLengths (B.length d) $ \off n -> + c_poly1305_update + (castPtr ctxPtr) + (dataPtr `plusPtr` off) + (fromIntegral n) + c_poly1305_finalize dst (castPtr ctxPtr) diff --git a/Crypto/Number/Basic.hs b/Crypto/Number/Basic.hs --- a/Crypto/Number/Basic.hs +++ b/Crypto/Number/Basic.hs @@ -1,20 +1,20 @@ +{-# LANGUAGE BangPatterns #-} + -- | -- Module : Crypto.Number.Basic -- License : BSD-style -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good - -{-# LANGUAGE BangPatterns #-} -module Crypto.Number.Basic - ( sqrti - , gcde - , areEven - , log2 - , numBits - , numBytes - , asPowerOf2AndOdd - ) where +module Crypto.Number.Basic ( + sqrti, + gcde, + areEven, + log2, + numBits, + numBytes, + asPowerOf2AndOdd, +) where import Data.Bits @@ -25,46 +25,48 @@ -- and use a dichotomy algorithm to compute the bound relatively efficiently. sqrti :: Integer -> (Integer, Integer) sqrti i - | i < 0 = error "cannot compute negative square root" - | i == 0 = (0,0) - | i == 1 = (1,1) - | i == 2 = (1,2) + | i < 0 = error "cannot compute negative square root" + | i == 0 = (0, 0) + | i == 1 = (1, 1) + | i == 2 = (1, 2) | otherwise = loop x0 - where - nbdigits = length $ show i - x0n = (if even nbdigits then nbdigits - 2 else nbdigits - 1) `div` 2 - x0 = if even nbdigits then 2 * 10 ^ x0n else 6 * 10 ^ x0n - loop x = case compare (sq x) i of - LT -> iterUp x - EQ -> (x, x) - GT -> iterDown x - iterUp lb = if sq ub >= i then iter lb ub else iterUp ub - where ub = lb * 2 - iterDown ub = if sq lb >= i then iterDown lb else iter lb ub - where lb = ub `div` 2 - iter lb ub - | lb == ub = (lb, ub) - | lb+1 == ub = (lb, ub) - | otherwise = - let d = (ub - lb) `div` 2 in - if sq (lb + d) >= i - then iter lb (ub-d) - else iter (lb+d) ub - sq a = a * a + where + nbdigits = length $ show i + x0n = (if even nbdigits then nbdigits - 2 else nbdigits - 1) `div` 2 + x0 = if even nbdigits then 2 * 10 ^ x0n else 6 * 10 ^ x0n + loop x = case compare (sq x) i of + LT -> iterUp x + EQ -> (x, x) + GT -> iterDown x + iterUp lb = if sq ub >= i then iter lb ub else iterUp ub + where + ub = lb * 2 + iterDown ub = if sq lb >= i then iterDown lb else iter lb ub + where + lb = ub `div` 2 + iter lb ub + | lb == ub = (lb, ub) + | lb + 1 == ub = (lb, ub) + | otherwise = + let d = (ub - lb) `div` 2 + in if sq (lb + d) >= i + then iter lb (ub - d) + else iter (lb + d) ub + sq a = a * a -- | Get the extended GCD of two integer using integer divMod -- --- gcde 'a' 'b' find (x,y,gcd(a,b)) where ax + by = d --- +-- gcde @a@ @b@ find (x,y,gcd(a,b)) where ax + by = d gcde :: Integer -> Integer -> (Integer, Integer, Integer) -gcde a b = onGmpUnsupported (gmpGcde a b) $ - if d < 0 then (-x,-y,-d) else (x,y,d) +gcde a b = + onGmpUnsupported (gmpGcde a b) $ + if d < 0 then (-x, -y, -d) else (x, y, d) where - (d, x, y) = f (a,1,0) (b,0,1) - f t (0, _, _) = t + (d, x, y) = f (a, 1, 0) (b, 0, 1) + f t (0, _, _) = t f (a', sa, ta) t@(b', sb, tb) = - let (q, r) = a' `divMod` b' in - f t (r, sa - (q * sb), ta - (q * tb)) + let (q, r) = a' `divMod` b' + in f t (r, sa - (q * sb), ta - (q * tb)) -- | Check if a list of integer are all even areEven :: [Integer] -> Bool @@ -75,7 +77,7 @@ log2 n = onGmpUnsupported (gmpLog2 n) $ imLog 2 n where -- http://www.haskell.org/pipermail/haskell-cafe/2008-February/039465.html - imLog b x = if x < b then 0 else (x `div` b^l) `doDiv` l + imLog b x = if x < b then 0 else (x `div` b ^ l) `doDiv` l where l = 2 * imLog (b * b) x doDiv x' l' = if x' < b then l' else (x' `div` b) `doDiv` (l' + 1) @@ -83,34 +85,65 @@ -- | Compute the number of bits for an integer numBits :: Integer -> Int -numBits n = gmpSizeInBits n `onGmpUnsupported` (if n == 0 then 1 else computeBits 0 n) - where computeBits !acc i - | q == 0 = - if r >= 0x80 then acc+8 - else if r >= 0x40 then acc+7 - else if r >= 0x20 then acc+6 - else if r >= 0x10 then acc+5 - else if r >= 0x08 then acc+4 - else if r >= 0x04 then acc+3 - else if r >= 0x02 then acc+2 - else if r >= 0x01 then acc+1 - else acc -- should be catch by previous loop - | otherwise = computeBits (acc+8) q - where (q,r) = i `divMod` 256 +-- GMP sizes the magnitude and calls zero zero bits, and every caller here -- +-- 'numBytes' above all -- is written against that. The fallback used to +-- answer 1 for zero, and to divide a negative number by 256 forever, because +-- the quotient never reaches zero. +numBits n = + gmpSizeInBits n `onGmpUnsupported` (if n == 0 then 0 else computeBits 0 (abs n)) + where + computeBits !acc i + | q == 0 = + if r >= 0x80 + then acc + 8 + else + if r >= 0x40 + then acc + 7 + else + if r >= 0x20 + then acc + 6 + else + if r >= 0x10 + then acc + 5 + else + if r >= 0x08 + then acc + 4 + else + if r >= 0x04 + then acc + 3 + else + if r >= 0x02 + then acc + 2 + else + if r >= 0x01 + then acc + 1 + else acc -- should be catch by previous loop + | otherwise = computeBits (acc + 8) q + where + (q, r) = i `divMod` 256 -- | Compute the number of bytes for an integer +-- +-- Out of 'numBits' rather than out of GMP's own count in base 256. GHC's +-- bignum sizes a number in base two by looking at its highest limb, and in +-- any other base -- 256 included -- by dividing the number down to nothing: +-- on a 2048-bit modulus that is 1.65 us against 0.01, and every serialization +-- here asks for the size before it allocates. Eight bits to the byte does +-- the rest. numBytes :: Integer -> Int -numBytes n = gmpSizeInBytes n `onGmpUnsupported` ((numBits n + 7) `div` 8) +numBytes n = (numBits n + 7) `div` 8 -- | Express an integer as an odd number and a power of 2 asPowerOf2AndOdd :: Integer -> (Int, Integer) asPowerOf2AndOdd a - | a == 0 = (0, 0) - | odd a = (0, a) - | a < 0 = let (e, a1) = asPowerOf2AndOdd $ abs a in (e, -a1) + | a == 0 = (0, 0) + | odd a = (0, a) + | a < 0 = let (e, a1) = asPowerOf2AndOdd $ abs a in (e, -a1) | isPowerOf2 a = (log2 a, 1) - | otherwise = loop a 0 - where - isPowerOf2 n = (n /= 0) && ((n .&. (n - 1)) == 0) - loop n pw = if n `mod` 2 == 0 then loop (n `div` 2) (pw + 1) - else (pw, n) + | otherwise = loop a 0 + where + isPowerOf2 n = (n /= 0) && ((n .&. (n - 1)) == 0) + loop n pw = + if n `mod` 2 == 0 + then loop (n `div` 2) (pw + 1) + else (pw, n) diff --git a/Crypto/Number/Compat.hs b/Crypto/Number/Compat.hs --- a/Crypto/Number/Compat.hs +++ b/Crypto/Number/Compat.hs @@ -1,31 +1,32 @@ +{-# LANGUAGE BangPatterns #-} +{-# LANGUAGE CPP #-} +{-# LANGUAGE MagicHash #-} +{-# LANGUAGE UnboxedTuples #-} +{-# OPTIONS_GHC -Wno-deprecations #-} + -- | -- Module : Crypto.Number.Compat -- License : BSD-style -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good --- -{-# LANGUAGE CPP #-} -{-# LANGUAGE MagicHash #-} -{-# LANGUAGE BangPatterns #-} -{-# LANGUAGE UnboxedTuples #-} -module Crypto.Number.Compat - ( GmpSupported(..) - , onGmpUnsupported - , gmpGcde - , gmpLog2 - , gmpPowModSecInteger - , gmpPowModInteger - , gmpInverse - , gmpNextPrime - , gmpTestPrimeMillerRabin - , gmpSizeInBytes - , gmpSizeInBits - , gmpExportInteger - , gmpExportIntegerLE - , gmpImportInteger - , gmpImportIntegerLE - ) where +module Crypto.Number.Compat ( + GmpSupported (..), + onGmpUnsupported, + gmpGcde, + gmpLog2, + gmpPowModSecInteger, + gmpPowModInteger, + gmpInverse, + gmpNextPrime, + gmpTestPrimeMillerRabin, + gmpSizeInBytes, + gmpSizeInBits, + gmpExportInteger, + gmpExportIntegerLE, + gmpImportInteger, + gmpImportIntegerLE, +) where #ifndef MIN_VERSION_integer_gmp #define MIN_VERSION_integer_gmp(a,b,c) 0 @@ -37,17 +38,18 @@ import GHC.Integer.Logarithms (integerLog2#) #endif import Data.Word -import GHC.Ptr (Ptr(..)) +import GHC.Ptr (Ptr (..)) -- | GMP Supported / Unsupported -data GmpSupported a = GmpSupported a - | GmpUnsupported - deriving (Show,Eq) +data GmpSupported a + = GmpSupported a + | GmpUnsupported + deriving (Show, Eq) -- | Simple combinator in case the operation is not supported through GMP onGmpUnsupported :: GmpSupported a -> a -> a onGmpUnsupported (GmpSupported a) _ = a -onGmpUnsupported GmpUnsupported f = f +onGmpUnsupported GmpUnsupported f = f -- | Compute the GCDE of a two integer through GMP gmpGcde :: Integer -> Integer -> GmpSupported (Integer, Integer, Integer) diff --git a/Crypto/Number/F2m.hs b/Crypto/Number/F2m.hs --- a/Crypto/Number/F2m.hs +++ b/Crypto/Number/F2m.hs @@ -7,33 +7,47 @@ -- -- This module provides basic arithmetic operations over F₂m. Performance is -- not optimal and it doesn't provide protection against timing --- attacks. The 'm' parameter is implicitly derived from the irreducible +-- attacks. The @m@ parameter is implicitly derived from the irreducible -- polynomial where applicable. - -module Crypto.Number.F2m - ( BinaryPolynomial - , addF2m - , mulF2m - , squareF2m' - , squareF2m - , powF2m - , modF2m - , sqrtF2m - , invF2m - , divF2m - ) where +module Crypto.Number.F2m ( + BinaryPolynomial, + addF2m, + mulF2m, + squareF2m', + squareF2m, + powF2m, + modF2m, + sqrtF2m, + invF2m, + divF2m, + quadraticF2m, +) where -import Data.Bits (xor, shift, testBit, setBit) -import Data.List +import Crypto.Internal.WordArray import Crypto.Number.Basic +import Data.Bits ( + setBit, + shift, + shiftL, + shiftR, + testBit, + unsafeShiftR, + xor, + (.&.), + (.|.), + ) +import Data.List (foldl') +import Data.Word (Word32) +import Prelude hiding (foldl') -- | Binary Polynomial represented by an integer type BinaryPolynomial = Integer -- | Addition over F₂m. This is just a synonym of 'xor'. -addF2m :: Integer - -> Integer - -> Integer +addF2m + :: Integer + -> Integer + -> Integer addF2m = xor {-# INLINE addF2m #-} @@ -41,50 +55,127 @@ -- -- This function is undefined for negative arguments, because their bit -- representation is platform-dependent. Zero modulus is also prohibited. -modF2m :: BinaryPolynomial -- ^ Modulus - -> Integer - -> Integer +modF2m + :: BinaryPolynomial + -- ^ Modulus + -> Integer + -> Integer modF2m fx i - | fx < 0 || i < 0 = error "modF2m: negative number represent no binary polynomial" - | fx == 0 = error "modF2m: cannot divide by zero polynomial" - | fx == 1 = 0 - | otherwise = go i + | fx < 0 || i < 0 = + error "modF2m: negative number represent no binary polynomial" + | fx == 0 = error "modF2m: cannot divide by zero polynomial" + | fx == 1 = 0 + | otherwise = case tailExponents fx of + Just es -> fold es i + Nothing -> go i + where + lfx = log2 fx + -- one bit at a time, for a modulus with too many terms to be worth the + -- other way + go n + | s == 0 = n `addF2m` fx + | s < 0 = n + | otherwise = go $ n `addF2m` shift fx s where - lfx = log2 fx - go n | s == 0 = n `addF2m` fx - | s < 0 = n - | otherwise = go $ n `addF2m` shift fx s - where s = log2 n - lfx + s = log2 n - lfx + + -- x^m is the rest of the modulus, so everything above bit m folds back in + -- as a copy of the number's top shifted by each of the modulus's lower + -- exponents: a handful of shifts, where the loop above takes one step per + -- bit of excess + mask = (1 `shiftL` lfx) - 1 + fold es n + | n <= mask = n + | otherwise = + fold + es + (foldl' (\acc e -> acc `xor` (hi `shiftL` e)) (n .&. mask) es) + where + hi = n `shiftR` lfx {-# INLINE modF2m #-} +-- | The exponents of a modulus below its leading term, when there are few +-- enough of them to reduce with. +-- +-- Every binary curve in use has a trinomial or a pentanomial here, which is +-- three or five exponents; sixteen is the point past which folding stops being +-- the cheaper way. +tailExponents :: BinaryPolynomial -> Maybe [Int] +tailExponents fx = go (log2 fx - 1) 0 [] + where + go i n acc + | i < 0 = Just acc + | n > 16 = Nothing + | testBit fx i = go (i - 1) (n + 1 :: Int) (i : acc) + | otherwise = go (i - 1) n acc + -- | Multiplication over F₂m. -- -- This function is undefined for negative arguments, because their bit -- representation is platform-dependent. Zero modulus is also prohibited. -mulF2m :: BinaryPolynomial -- ^ Modulus - -> Integer - -> Integer - -> Integer +mulF2m + :: BinaryPolynomial + -- ^ Modulus + -> Integer + -> Integer + -> Integer mulF2m fx n1 n2 - | fx < 0 - || n1 < 0 - || n2 < 0 = error "mulF2m: negative number represent no binary polynomial" - | fx == 0 = error "mulF2m: cannot multiply modulo zero polynomial" - | otherwise = modF2m fx $ go (if n2 `mod` 2 == 1 then n1 else 0) (log2 n2) - where - go n s | s == 0 = n - | otherwise = if testBit n2 s - then go (n `addF2m` shift n1 s) (s - 1) - else go n (s - 1) -{-# INLINABLE mulF2m #-} + | fx < 0 + || n1 < 0 + || n2 < 0 = + error "mulF2m: negative number represent no binary polynomial" + | fx == 0 = error "mulF2m: cannot multiply modulo zero polynomial" + | otherwise = modF2m fx (go n2 0 0) + where + -- Four bits of the multiplier at a time, against the sixteen multiples of + -- n1 that four bits can ask for. A bit at a time is four times the + -- shifting and exclusive-oring, and each of those allocates. + go 0 _ acc = acc + go v sh acc = + go (v `shiftR` 4) (sh + 4) (acc `xor` (multiple (v .&. 0xf) `shiftL` sh)) + m2 = n1 `shiftL` 1 + m4 = n1 `shiftL` 2 + m8 = n1 `shiftL` 3 + m3 = m2 `xor` n1 + m5 = m4 `xor` n1 + m6 = m4 `xor` m2 + m7 = m6 `xor` n1 + m9 = m8 `xor` n1 + m10 = m8 `xor` m2 + m11 = m10 `xor` n1 + m12 = m8 `xor` m4 + m13 = m12 `xor` n1 + m14 = m12 `xor` m2 + m15 = m14 `xor` n1 + + multiple 1 = n1 + multiple 2 = m2 + multiple 3 = m3 + multiple 4 = m4 + multiple 5 = m5 + multiple 6 = m6 + multiple 7 = m7 + multiple 8 = m8 + multiple 9 = m9 + multiple 10 = m10 + multiple 11 = m11 + multiple 12 = m12 + multiple 13 = m13 + multiple 14 = m14 + multiple 15 = m15 + multiple _ = 0 +{-# INLINEABLE mulF2m #-} + -- | Squaring over F₂m. -- -- This function is undefined for negative arguments, because their bit -- representation is platform-dependent. Zero modulus is also prohibited. -squareF2m :: BinaryPolynomial -- ^ Modulus - -> Integer - -> Integer +squareF2m + :: BinaryPolynomial + -- ^ Modulus + -> Integer + -> Integer squareF2m fx = modF2m fx . squareF2m' {-# INLINE squareF2m #-} @@ -95,75 +186,141 @@ -- -- This function is undefined for negative arguments, because their bit -- representation is platform-dependent. -squareF2m' :: Integer - -> Integer +squareF2m' + :: Integer + -> Integer squareF2m' n - | n < 0 = error "mulF2m: negative number represent no binary polynomial" - | otherwise = foldl' (\acc s -> if testBit n s then setBit acc (2 * s) else acc) 0 [0 .. log2 n] + | n < 0 = error "mulF2m: negative number represent no binary polynomial" + | otherwise = go n 0 0 + where + -- A byte at a time, through a table of the sixteen-bit patterns a byte + -- spreads into. A bit at a time is eight times the work, and setting a + -- bit of an Integer allocates another one. + go 0 _ acc = acc + go v sh acc = + go + (v `shiftR` 8) + (sh + 16) + ( acc + .|. (fromIntegral (arrayRead32 spreadTable (fromIntegral (v .&. 0xff))) `shiftL` sh) + ) + +-- | Each byte, with a zero inserted between every pair of its bits. +spreadTable :: Array32 +spreadTable = array32 256 [spread b | b <- [0 .. 255]] + where + spread :: Int -> Word32 + spread b = + foldl' (\acc i -> if testBit b i then setBit acc (2 * i) else acc) 0 [0 .. 7] +{-# NOINLINE spreadTable #-} + {-# INLINE squareF2m' #-} -- | Exponentiation in F₂m by computing @a^b mod fx@. -- -- This implements an exponentiation by squaring based solution. It inherits the -- same restrictions as 'squareF2m'. Negative exponents are disallowed. -powF2m :: BinaryPolynomial -- ^Modulus - -> Integer -- ^a - -> Integer -- ^b - -> Integer +powF2m + :: BinaryPolynomial + -- ^ Modulus + -> Integer + -- ^ a + -> Integer + -- ^ b + -> Integer powF2m fx a b - | b < 0 = error "powF2m: negative exponents disallowed" - | b == 0 = if fx > 1 then 1 else 0 - | even b = squareF2m fx x - | otherwise = mulF2m fx a (squareF2m' x) - where x = powF2m fx a (b `div` 2) + | b < 0 = error "powF2m: negative exponents disallowed" + | b == 0 = if fx > 1 then 1 else 0 + | even b = squareF2m fx x + | otherwise = mulF2m fx a (squareF2m' x) + where + x = powF2m fx a (b `div` 2) -- | Square rooot in F₂m. -- -- We exploit the fact that @a^(2^m) = a@, or in particular, @a^(2^m - 1) = 1@ -- from a classical result by Lagrange. Thus the square root is simply @a^(2^(m -- - 1))@. -sqrtF2m :: BinaryPolynomial -- ^Modulus - -> Integer -- ^a - -> Integer +sqrtF2m + :: BinaryPolynomial + -- ^ Modulus + -> Integer + -- ^ a + -> Integer sqrtF2m fx a = go (log2 fx - 1) a - where go 0 x = x - go n x = go (n - 1) (squareF2m fx x) + where + go 0 x = x + go n x = go (n - 1) (squareF2m fx x) -- | Extended GCD algorithm for polynomials. For @a@ and @b@ returns @(g, u, v)@ such that @a * u + b * v == g@. -- -- Reference: https://en.wikipedia.org/wiki/Polynomial_greatest_common_divisor#B.C3.A9zout.27s_identity_and_extended_GCD_algorithm -gcdF2m :: Integer - -> Integer - -> (Integer, Integer, Integer) +gcdF2m + :: Integer + -> Integer + -> (Integer, Integer, Integer) gcdF2m a b = go (a, b, 1, 0, 0, 1) where - go (g, 0, u, _, v, _) - = (g, u, v) - go (r0, r1, s0, s1, t0, t1) - = go (r1, r0 `addF2m` shift r1 j, s1, s0 `addF2m` shift s1 j, t1, t0 `addF2m` shift t1 j) - where j = max 0 (log2 r0 - log2 r1) + go (g, 0, u, _, v, _) = + (g, u, v) + go (r0, r1, s0, s1, t0, t1) = + go + ( r1 + , r0 `addF2m` shift r1 j + , s1 + , s0 `addF2m` shift s1 j + , t1 + , t0 `addF2m` shift t1 j + ) + where + j = max 0 (log2 r0 - log2 r1) -- | Modular inversion over F₂m. -- If @n@ doesn't have an inverse, 'Nothing' is returned. -- -- This function is undefined for negative arguments, because their bit -- representation is platform-dependent. Zero modulus is also prohibited. -invF2m :: BinaryPolynomial -- ^ Modulus - -> Integer - -> Maybe Integer +invF2m + :: BinaryPolynomial + -- ^ Modulus + -> Integer + -> Maybe Integer invF2m fx n = if g == 1 then Just (modF2m fx u) else Nothing where (g, u, _) = gcdF2m n fx -{-# INLINABLE invF2m #-} +{-# INLINEABLE invF2m #-} -- | Division over F₂m. If the dividend doesn't have an inverse it returns -- 'Nothing'. -- -- This function is undefined for negative arguments, because their bit -- representation is platform-dependent. Zero modulus is also prohibited. -divF2m :: BinaryPolynomial -- ^ Modulus - -> Integer -- ^ Dividend - -> Integer -- ^ Divisor - -> Maybe Integer -- ^ Quotient +divF2m + :: BinaryPolynomial + -- ^ Modulus + -> Integer + -- ^ Dividend + -> Integer + -- ^ Divisor + -> Maybe Integer + -- ^ Quotient divF2m fx n1 n2 = mulF2m fx n1 <$> invF2m fx n2 {-# INLINE divF2m #-} + +traceF2m :: BinaryPolynomial -> Integer -> Integer +traceF2m fx = foldr addF2m 0 . take (log2 fx) . iterate (squareF2m fx) +{-# INLINE traceF2m #-} + +halfTraceF2m :: BinaryPolynomial -> Integer -> Integer +halfTraceF2m fx = + foldr addF2m 0 + . take (1 + log2 fx `unsafeShiftR` 1) + . iterate (squareF2m fx . squareF2m fx) +{-# INLINE halfTraceF2m #-} + +-- | Solve a quadratic equation of the form @x^2 + x = a@ in F₂m. +quadraticF2m :: BinaryPolynomial -> Integer -> Maybe Integer +quadraticF2m fx a + | traceF2m fx a == 0 = Just $ halfTraceF2m fx a + | otherwise = Nothing +{-# INLINEABLE quadraticF2m #-} diff --git a/Crypto/Number/Generate.hs b/Crypto/Number/Generate.hs --- a/Crypto/Number/Generate.hs +++ b/Crypto/Number/Generate.hs @@ -4,31 +4,32 @@ -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good - -module Crypto.Number.Generate - ( GenTopPolicy(..) - , generateParams - , generateMax - , generateBetween - ) where +module Crypto.Number.Generate ( + GenTopPolicy (..), + generateParams, + generatePrefix, + generateMax, + generateBetween, +) where -import Crypto.Internal.Imports -import Crypto.Number.Basic -import Crypto.Number.Serialize -import Crypto.Random.Types -import Control.Monad (when) -import Foreign.Ptr -import Foreign.Storable -import Data.Bits ((.|.), (.&.), shiftL, complement, testBit) -import Crypto.Internal.ByteArray (ScrubbedBytes) +import Control.Monad (when) +import Crypto.Internal.ByteArray (ScrubbedBytes) import qualified Crypto.Internal.ByteArray as B - +import Crypto.Internal.Imports +import Crypto.Number.Basic +import Crypto.Number.Serialize +import Crypto.Random.Types +import Data.Bits (complement, shiftL, testBit, unsafeShiftR, (.&.), (.|.)) +import Foreign.Ptr +import Foreign.Storable -- | Top bits policy when generating a number -data GenTopPolicy = - SetHighest -- ^ set the highest bit - | SetTwoHighest -- ^ set the two highest bit - deriving (Show,Eq) +data GenTopPolicy + = -- | set the highest bit + SetHighest + | -- | set the two highest bit + SetTwoHighest + deriving (Show, Eq) -- | Generate a number for a specific size of bits, -- and optionaly set bottom and top bits @@ -38,27 +39,31 @@ -- -- If @generateOdd is set to 'True', then the number generated -- is guaranteed to be odd. Otherwise it will be whatever is generated --- -generateParams :: MonadRandom m - => Int -- ^ number of bits - -> Maybe GenTopPolicy -- ^ top bit policy - -> Bool -- ^ force the number to be odd - -> m Integer +generateParams + :: MonadRandom m + => Int + -- ^ number of bits + -> Maybe GenTopPolicy + -- ^ top bit policy + -> Bool + -- ^ force the number to be odd + -> m Integer generateParams bits genTopPolicy generateOdd | bits <= 0 = return 0 | otherwise = os2ip . tweak <$> getRandomBytes bytes where tweak :: ScrubbedBytes -> ScrubbedBytes tweak orig = B.copyAndFreeze orig $ \p0 -> do - let p1 = p0 `plusPtr` 1 + let p1 = p0 `plusPtr` 1 pEnd = p0 `plusPtr` (bytes - 1) case genTopPolicy of - Nothing -> return () - Just SetHighest -> p0 |= (1 `shiftL` bit) + Nothing -> return () + Just SetHighest -> p0 |= (1 `shiftL` bit) Just SetTwoHighest - | bit == 0 -> do p0 $= 0x1 - p1 |= 0x80 - | otherwise -> p0 |= (0x3 `shiftL` (bit - 1)) + | bit == 0 -> do + p0 $= 0x1 + p1 |= 0x80 + | otherwise -> p0 |= (0x3 `shiftL` (bit - 1)) p0 &= (complement $ mask) when generateOdd (pEnd |= 0x1) @@ -71,52 +76,81 @@ (&=) :: Ptr Word8 -> Word8 -> IO () (&=) p w = peek p >>= \v -> poke p (v .&. w) - bytes = (bits + 7) `div` 8; - bit = (bits - 1) `mod` 8; - mask = 0xff `shiftL` (bit + 1); + bytes = (bits + 7) `div` 8 + bit = (bits - 1) `mod` 8 + mask = 0xff `shiftL` (bit + 1) +-- | Generate a number for a specific size of bits. +-- +-- * @'generateParams' n Nothing False@ generates bytes and uses the suffix of @n@ bits +-- * @'generatePrefix' n@ generates bytes and uses the prefix of @n@ bits +generatePrefix :: MonadRandom m => Int -> m Integer +generatePrefix bits + | bits <= 0 = return 0 + | otherwise = do + let (count, offset) = (bits + 7) `divMod` 8 + bytes <- getRandomBytes count + return $ os2ip (bytes :: ScrubbedBytes) `unsafeShiftR` (7 - offset) + -- | Generate a positive integer x, s.t. 0 <= x < range -generateMax :: MonadRandom m - => Integer -- ^ range - -> m Integer +generateMax + :: MonadRandom m + => Integer + -- ^ range + -> m Integer generateMax range - | range <= 1 = return 0 - | range < 127 = generateSimple + | range <= 1 = return 0 + | range < 127 = generateSimple | canOverGenerate = loopGenerateOver tries - | otherwise = loopGenerate tries + | otherwise = loopGenerate tries where - -- this "generator" is mostly for quickcheck benefits. it'll be biased if - -- range is not a multiple of 2, but overall, no security should be - -- assumed for a number between 0 and 127. - generateSimple = flip mod range `fmap` generateParams bits Nothing False + -- this "generator" is mostly for quickcheck benefits. it'll be biased if + -- range is not a multiple of 2, but overall, no security should be + -- assumed for a number between 0 and 127. + generateSimple = flip mod range `fmap` generateParams bits Nothing False - loopGenerate count - | count == 0 = error $ "internal: generateMax(" ++ show range ++ " bits=" ++ show bits ++ ") (normal) doesn't seems to work properly" - | otherwise = do - r <- generateParams bits Nothing False - if isValid r then return r else loopGenerate (count-1) + loopGenerate count + | count == 0 = + error $ + "internal: generateMax(" + ++ show range + ++ " bits=" + ++ show bits + ++ ") (normal) doesn't seems to work properly" + | otherwise = do + r <- generateParams bits Nothing False + if isValid r then return r else loopGenerate (count - 1) - loopGenerateOver count - | count == 0 = error $ "internal: generateMax(" ++ show range ++ " bits=" ++ show bits ++ ") (over) doesn't seems to work properly" - | otherwise = do - r <- generateParams (bits+1) Nothing False - let r2 = r - range - r3 = r2 - range - if isValid r - then return r - else if isValid r2 + loopGenerateOver count + | count == 0 = + error $ + "internal: generateMax(" + ++ show range + ++ " bits=" + ++ show bits + ++ ") (over) doesn't seems to work properly" + | otherwise = do + r <- generateParams (bits + 1) Nothing False + let r2 = r - range + r3 = r2 - range + if isValid r + then return r + else + if isValid r2 then return r2 - else if isValid r3 - then return r3 - else loopGenerateOver (count-1) + else + if isValid r3 + then return r3 + else loopGenerateOver (count - 1) - bits = numBits range - canOverGenerate = bits > 3 && not (range `testBit` (bits-2)) && not (range `testBit` (bits-3)) + bits = numBits range + canOverGenerate = + bits > 3 && not (range `testBit` (bits - 2)) && not (range `testBit` (bits - 3)) - isValid n = n < range + isValid n = n < range - tries :: Int - tries = 100 + tries :: Int + tries = 100 -- | generate a number between the inclusive bound [low,high]. generateBetween :: MonadRandom m => Integer -> Integer -> m Integer diff --git a/Crypto/Number/ModArithmetic.hs b/Crypto/Number/ModArithmetic.hs --- a/Crypto/Number/ModArithmetic.hs +++ b/Crypto/Number/ModArithmetic.hs @@ -1,34 +1,60 @@ {-# LANGUAGE BangPatterns #-} + -- | -- Module : Crypto.Number.ModArithmetic -- License : BSD-style -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good +-- +-- Modular arithmetic on 'Integer'. +-- +-- == What an 'Integer' shows +-- +-- An 'Integer' is as long as its value needs, and every operation on one +-- costs what that length says. A secret that happens to be short is +-- multiplied, reduced and compared in fewer words than a full-length one, and +-- the difference is there to be measured. 'expSafe' and 'inverseSafe' keep +-- the /value/ of an exponent or of a number being inverted out of the work +-- they do, and that is as far as an 'Integer' can be taken: hiding the length +-- as well means a fixed-width representation, which is what the curve modules +-- and 'expSafe' itself use underneath. +module Crypto.Number.ModArithmetic ( + -- * Exceptions + CoprimesAssertionError (..), + ModulusAssertionError (..), -module Crypto.Number.ModArithmetic - ( -- * Exponentiation - expSafe - , expFast + expSafe, + expFast, + -- * Inverse computing - , inverse - , inverseCoprimes - , inverseFermat + inverse, + inverseSafe, + inverseCoprimes, + inverseFermat, + -- * Squares - , jacobi - , squareRoot - ) where + jacobi, + squareRoot, +) where -import Control.Exception (throw, Exception) +import qualified Control.Exception as E +import Crypto.Internal.Compat (unsafeDoIO) import Crypto.Number.Basic import Crypto.Number.Compat +import qualified Crypto.Number.Serialize.Internal as Internal +import Data.Memory.PtrMethods (memSet) +import Data.Word (Word32, Word8) +import Foreign.C.Types (CInt (..)) +import Foreign.Marshal.Alloc (allocaBytes) +import Foreign.Ptr (Ptr, plusPtr) -- | Raised when two numbers are supposed to be coprimes but are not. data CoprimesAssertionError = CoprimesAssertionError deriving (Show) -instance Exception CoprimesAssertionError +instance E.Exception CoprimesAssertionError -- | Compute the modular exponentiation of base^exponent using -- algorithms design to avoid side channels and timing measurement @@ -36,66 +62,155 @@ -- Modulo need to be odd otherwise the normal fast modular exponentiation -- is used. -- --- When used with integer-simple, this function is not different --- from expFast, and thus provide the same unstudied and dubious --- timing and side channels claims. +-- With an odd modulo the work is done in C, four bits of exponent at a time: +-- four squarings and one multiplication by a small power of the base, taken +-- from a table of sixteen which is read by touching every entry and keeping +-- one of them with a mask. So each group of four bits costs the same five +-- multiplications and the same sixteen reads whatever those bits are, and +-- nothing branches on the exponent or indexes memory with it. -- --- Before GHC 8.4.2, powModSecInteger is missing from integer-gmp, --- so expSafe has the same security as expFast. -expSafe :: Integer -- ^ base - -> Integer -- ^ exponent - -> Integer -- ^ modulo - -> Integer -- ^ result +-- What the exponent still shows is its length: it is rounded up to a whole +-- 64-bit word and every bit of that is walked over, so its value is hidden +-- but its size is not. The @mpz_powm_sec@ of GMP, which GHC stopped +-- offering in integer-gmp 1.1 and which this replaces, hides exactly as much. +-- +-- The base is taken to be public -- in this library it is a ciphertext, a +-- public value from a peer, or a generator -- and is reduced modulo the +-- modulus in the ordinary way first. +-- +-- Hiding the exponent has a price: against the windowed exponentiation of +-- GMP, which is what this function used to end up calling, a 2048-bit +-- modulus costs somewhat over twice as much. +expSafe + :: Integer + -- ^ base + -> Integer + -- ^ exponent + -> Integer + -- ^ modulo + -> Integer + -- ^ result expSafe b e m - | odd m = gmpPowModSecInteger b e m `onGmpUnsupported` - (gmpPowModInteger b e m `onGmpUnsupported` - exponentiation b e m) - | otherwise = gmpPowModInteger b e m `onGmpUnsupported` - exponentiation b e m + | odd m && m > 1 && e >= 0 = + gmpPowModSecInteger b e m `onGmpUnsupported` expSec (b `mod` m) e m + -- a modulus of one, and a negative exponent asking for an inverse, are + -- left to the path they have always taken + | otherwise = + gmpPowModInteger b e m + `onGmpUnsupported` exponentiation b e m +-- | The windowed exponentiation itself, in C. The base has to be reduced +-- already, the exponent to be zero or more, and the modulus odd and above +-- one. +expSec :: Integer -> Integer -> Integer -> Integer +expSec b e m = unsafeDoIO $ + allocaBytes (sum widths) $ \start -> case scanl plusPtr start widths of + (out : base : expo : modu : _) -> do + _ <- Internal.i2ospOf b base mLen + _ <- Internal.i2ospOf e expo eLen + _ <- Internal.i2ospOf m modu mLen + r <- + c_powm_sec + out + base + (fromIntegral mLen) + expo + (fromIntegral eLen) + modu + (fromIntegral mLen) + -- the exponent is the caller's secret, and this is the last place it + -- is written out in the clear + memSet expo 0 eLen + if r == 0 + then do + !v <- Internal.os2ip out mLen + return v + else + return + ( gmpPowModInteger b e m + `onGmpUnsupported` exponentiation b e m + ) + _ -> return 0 -- there are four, but say so anyway + where + !mLen = numBytes m + -- the answer, the base, the exponent and the modulus. The room to take + -- and where each one starts both come from here, so they cannot drift + -- apart. + widths = [mLen, mLen, eLen, mLen] + -- whole words of exponent, so that the count of them says as little as + -- what GMP's own secure exponentiation lets slip + !eLen = 8 * ((numBytes e + 7) `div` 8) + +foreign import ccall safe "crypton_powm_sec" + c_powm_sec + :: Ptr Word8 + -> Ptr Word8 + -> Word32 + -> Ptr Word8 + -> Word32 + -> Ptr Word8 + -> Word32 + -> IO CInt + -- | Compute the modular exponentiation of base^exponent using -- the fastest algorithm without any consideration for -- hiding parameters. -- -- Use this function when all the parameters are public, -- otherwise 'expSafe' should be preferred. -expFast :: Integer -- ^ base - -> Integer -- ^ exponent - -> Integer -- ^ modulo - -> Integer -- ^ result +expFast + :: Integer + -- ^ base + -> Integer + -- ^ exponent + -> Integer + -- ^ modulo + -> Integer + -- ^ result expFast b e m = gmpPowModInteger b e m `onGmpUnsupported` exponentiation b e m -- | @exponentiation@ computes modular exponentiation as /b^e mod m/ -- using repetitive squaring. +-- +-- The corner cases are held to what GMP answers, since that is what this +-- computes on every build that has it: a modulus of one is zero whatever +-- else is asked, and a negative exponent is a request for the inverse of +-- the base raised to its magnitude, which is zero when no inverse exists. +-- Read literally, the recursion below walked a negative exponent from -1 to +-- -2 and back for as long as the stack held. exponentiation :: Integer -> Integer -> Integer -> Integer exponentiation b e m - | b == 1 = b - | e == 0 = 1 - | e == 1 = b `mod` m - | even e = let p = exponentiation b (e `div` 2) m `mod` m - in (p^(2::Integer)) `mod` m - | otherwise = (b * exponentiation b (e-1) m) `mod` m + | m == 1 = 0 + | e < 0 = + maybe 0 (\bInv -> exponentiation bInv (negate e) m) (inverse (b `mod` m) m) + | b == 1 = 1 + | e == 0 = 1 + | e == 1 = b `mod` m + | even e = + let p = exponentiation b (e `div` 2) m `mod` m + in (p ^ (2 :: Integer)) `mod` m + | otherwise = (b * exponentiation b (e - 1) m) `mod` m -- | @inverse@ computes the modular inverse as in /g^(-1) mod m/. inverse :: Integer -> Integer -> Maybe Integer inverse g m = gmpInverse g m `onGmpUnsupported` v where v - | d > 1 = Nothing + | d > 1 = Nothing | otherwise = Just (x `mod` m) - (x,_,d) = gcde g m + (x, _, d) = gcde g m -- | Compute the modular inverse of two coprime numbers. -- This is equivalent to inverse except that the result -- is known to exists. -- -- If the numbers are not defined as coprime, this function --- will raise a 'CoprimesAssertionError'. +-- will raise a t'CoprimesAssertionError'. inverseCoprimes :: Integer -> Integer -> Integer inverseCoprimes g m = case inverse g m of - Nothing -> throw CoprimesAssertionError - Just i -> i + Nothing -> E.throw CoprimesAssertionError + Just i -> i -- | Computes the Jacobi symbol (a/n). -- 0 ≤ a < n; n ≥ 3 and odd. @@ -106,58 +221,116 @@ -- See algorithm 2.149 in "Handbook of Applied Cryptography" by Alfred J. Menezes et al. jacobi :: Integer -> Integer -> Maybe Integer jacobi a n - | n < 3 || even n = Nothing + | n < 3 || even n = Nothing | a == 0 || a == 1 = Just a - | n <= a = jacobi (a `mod` n) n - | a < 0 = - let b = if n `mod` 4 == 1 then 1 else -1 - in fmap (*b) (jacobi (-a) n) - | otherwise = - let (e, a1) = asPowerOf2AndOdd a - nMod8 = n `mod` 8 - nMod4 = n `mod` 4 - a1Mod4 = a1 `mod` 4 - s' = if even e || nMod8 == 1 || nMod8 == 7 then 1 else -1 - s = if nMod4 == 3 && a1Mod4 == 3 then -s' else s' - n1 = n `mod` a1 - in if a1 == 1 then Just s - else fmap (*s) (jacobi n1 a1) + | n <= a = jacobi (a `mod` n) n + | a < 0 = + let b = if n `mod` 4 == 1 then 1 else -1 + in fmap (* b) (jacobi (-a) n) + | otherwise = + let (e, a1) = asPowerOf2AndOdd a + nMod8 = n `mod` 8 + nMod4 = n `mod` 4 + a1Mod4 = a1 `mod` 4 + s' = if even e || nMod8 == 1 || nMod8 == 7 then 1 else -1 + s = if nMod4 == 3 && a1Mod4 == 3 then -s' else s' + n1 = n `mod` a1 + in if a1 == 1 + then Just s + else fmap (* s) (jacobi n1 a1) -- | Modular inverse using Fermat's little theorem. This works only when -- the modulus is prime but avoids side channels like in 'expSafe'. inverseFermat :: Integer -> Integer -> Integer inverseFermat g p = expSafe g (p - 2) p +-- | @inverseSafe@ computes the modular inverse without letting the number +-- being inverted steer how long the work takes, which is what 'inverse' does: +-- the extended Euclidean algorithm takes a number of steps that follows the +-- bits it is given, and a nonce inverted that way has been taken apart before +-- by watching the steps go by. +-- +-- The answer comes from a fixed number of division steps where the assembly +-- for them is built, and from 'inverseFermat' where it is not. Either way it +-- is checked here by multiplying out: neither one says when the number has no +-- inverse -- the first returns something that is not one and the second +-- returns something that is not one either -- so the check is what makes this +-- agree with 'inverse' on every input, and 'inverse' is asked when it fails. +-- That fallback is reached only by parameters that are already broken. +-- +-- The division steps cost about a twentieth of the exponentiation: on an +-- Apple M4, inverting modulo the P-256 group order is 0.80 microseconds +-- against 6.02, and modulo the P-521 one 2.05 against 63.2. +inverseSafe :: Integer -> Integer -> Maybe Integer +inverseSafe g m + | m > 1 && (g * r) `mod` m == 1 = Just r + | otherwise = inverse g m + where + r = case inverseSec g m of + Just v -> v + Nothing -> inverseFermat g m + +-- | The inverse in a fixed number of division steps, from the vendored +-- assembly. 'Nothing' when that is not built, when the modulus is even -- +-- where the routine answers without saying it cannot -- or when the numbers +-- are larger than it keeps room for. The answer is not checked here; the +-- caller does that. +inverseSec :: Integer -> Integer -> Maybe Integer +inverseSec g m + | m <= 1 || even m || g < 0 = Nothing + | otherwise = unsafeDoIO $ + allocaBytes (3 * mLen) $ \out -> do + let gp = out `plusPtr` mLen + mp = gp `plusPtr` mLen + _ <- Internal.i2ospOf (g `mod` m) gp mLen + _ <- Internal.i2ospOf m mp mLen + r <- c_modinv_sec out gp mp (fromIntegral mLen) + if r == 0 + then do + !v <- Internal.os2ip out mLen + return (Just v) + else return Nothing + where + !mLen = numBytes m + +foreign import ccall unsafe "crypton_modinv_sec" + c_modinv_sec + :: Ptr Word8 + -> Ptr Word8 + -> Ptr Word8 + -> Word32 + -> IO CInt + -- | Raised when the assumption about the modulus is invalid. data ModulusAssertionError = ModulusAssertionError deriving (Show) -instance Exception ModulusAssertionError +instance E.Exception ModulusAssertionError -- | Modular square root of @g@ modulo a prime @p@. -- -- If the modulus is found not to be prime, the function will raise a --- 'ModulusAssertionError'. +-- t'ModulusAssertionError'. -- -- This implementation is variable time and should be used with public -- parameters only. squareRoot :: Integer -> Integer -> Maybe Integer squareRoot p - | p < 2 = throw ModulusAssertionError + | p < 2 = E.throw ModulusAssertionError | otherwise = case p `divMod` 8 of - (v, 3) -> method1 (2 * v + 1) - (v, 7) -> method1 (2 * v + 2) - (u, 5) -> method2 u - (_, 1) -> tonelliShanks p - (0, 2) -> \a -> Just (if even a then 0 else 1) - _ -> throw ModulusAssertionError - + (v, 3) -> method1 (2 * v + 1) + (v, 7) -> method1 (2 * v + 2) + (u, 5) -> method2 u + (_, 1) -> tonelliShanks p + (0, 2) -> \a -> Just (if even a then 0 else 1) + _ -> E.throw ModulusAssertionError where x `eqMod` y = (x - y) `mod` p == 0 - validate g y | (y * y) `eqMod` g = Just y - | otherwise = Nothing + validate g y + | (y * y) `eqMod` g = Just y + | otherwise = Nothing -- p == 4u + 3 and u' == u + 1 method1 u' g = @@ -174,20 +347,24 @@ tonelliShanks :: Integer -> Integer -> Maybe Integer tonelliShanks p a - | aa == 0 = Just 0 + | aa == 0 = Just 0 | otherwise = case expFast aa p2 p of - b | b == p1 -> Nothing - | b == 1 -> Just $ go (expFast aa ((s + 1) `div` 2) p) - (expFast aa s p) - (expFast n s p) - e - | otherwise -> throw ModulusAssertionError + b + | b == p1 -> Nothing + | b == 1 -> + Just $ + go + (expFast aa ((s + 1) `div` 2) p) + (expFast aa s p) + (expFast n s p) + e + | otherwise -> E.throw ModulusAssertionError where aa = a `mod` p p1 = p - 1 p2 = p1 `div` 2 - n = findN 2 + n = findN 2 x `mul` y = (x * y) `mod` p @@ -199,15 +376,15 @@ -- find a quadratic non-residue findN i | expFast i p2 p == p1 = i - | otherwise = findN (i + 1) + | otherwise = findN (i + 1) -- find m such that b^(2^m) == 1 (mod p) findM b i - | b == 1 = i + | b == 1 = i | otherwise = findM (b `mul` b) (i + 1) go !x b g !r - | b == 1 = x + | b == 1 = x | otherwise = let r' = findM b 0 z = pow2m (r - r' - 1) g diff --git a/Crypto/Number/Nat.hs b/Crypto/Number/Nat.hs --- a/Crypto/Number/Nat.hs +++ b/Crypto/Number/Nat.hs @@ -1,3 +1,6 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE TypeOperators #-} + -- | -- Module : Crypto.Number.Nat -- License : BSD-style @@ -26,38 +29,39 @@ -- -- Function @withDivisibleBy8@ above returns 'Nothing' when the argument @len@ -- is negative or not divisible by 8. -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE TypeOperators #-} -module Crypto.Number.Nat - ( type IsDivisibleBy8 - , type IsAtMost, type IsAtLeast - , isDivisibleBy8 - , isAtMost - , isAtLeast - ) where +module Crypto.Number.Nat ( + type IsDivisibleBy8, + type IsAtMost, + type IsAtLeast, + isDivisibleBy8, + isAtMost, + isAtLeast, +) where -import Data.Type.Equality -import GHC.TypeLits -import Unsafe.Coerce (unsafeCoerce) +import Data.Type.Equality +import GHC.TypeLits +import Unsafe.Coerce (unsafeCoerce) -import Crypto.Internal.Nat +import Crypto.Internal.Nat -- | get a runtime proof that the constraint @'IsDivisibleBy8' n@ is satified isDivisibleBy8 :: KnownNat n => proxy n -> Maybe (IsDiv8 n n :~: 'True) isDivisibleBy8 n | mod (natVal n) 8 == 0 = Just (unsafeCoerce Refl) - | otherwise = Nothing + | otherwise = Nothing -- | get a runtime proof that the constraint @'IsAtMost' value bound@ is -- satified -isAtMost :: (KnownNat value, KnownNat bound) - => proxy value -> proxy' bound -> Maybe ((value <=? bound) :~: 'True) +isAtMost + :: (KnownNat value, KnownNat bound) + => proxy value -> proxy' bound -> Maybe ((value <=? bound) :~: 'True) isAtMost x y - | natVal x <= natVal y = Just (unsafeCoerce Refl) - | otherwise = Nothing + | natVal x <= natVal y = Just (unsafeCoerce Refl) + | otherwise = Nothing -- | get a runtime proof that the constraint @'IsAtLeast' value bound@ is -- satified -isAtLeast :: (KnownNat value, KnownNat bound) - => proxy value -> proxy' bound -> Maybe ((bound <=? value) :~: 'True) +isAtLeast + :: (KnownNat value, KnownNat bound) + => proxy value -> proxy' bound -> Maybe ((bound <=? value) :~: 'True) isAtLeast = flip isAtMost diff --git a/Crypto/Number/Prime.hs b/Crypto/Number/Prime.hs --- a/Crypto/Number/Prime.hs +++ b/Crypto/Number/Prime.hs @@ -1,45 +1,91 @@ +{-# LANGUAGE BangPatterns #-} + -- | -- Module : Crypto.Number.Prime -- License : BSD-style -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good - -{-# LANGUAGE BangPatterns #-} -module Crypto.Number.Prime - ( - generatePrime - , generateSafePrime - , isProbablyPrime - , findPrimeFrom - , findPrimeFromWith - , primalityTestMillerRabin - , primalityTestNaive - , primalityTestFermat - , isCoprime - ) where +module Crypto.Number.Prime ( + generatePrime, + generateSafePrime, + isProbablyPrime, + findPrimeFrom, + findPrimeFromWith, + primalityTestMillerRabin, + primalityTestNaive, + primalityTestFermat, + isCoprime, +) where +import Crypto.Error +import Crypto.Number.Basic (gcde, sqrti) import Crypto.Number.Compat import Crypto.Number.Generate -import Crypto.Number.Basic (sqrti, gcde) import Crypto.Number.ModArithmetic (expSafe) -import Crypto.Random.Types +import Crypto.Number.Serialize (i2osp) import Crypto.Random.Probabilistic -import Crypto.Error +import Crypto.Random.Types +import Crypto.Internal.ByteArray (Bytes) + import Data.Bits -- | Returns if the number is probably prime. --- First a list of small primes are implicitely tested for divisibility, --- then a fermat primality test is used with arbitrary numbers and --- then the Miller Rabin algorithm is used with an accuracy of 30 recursions. +-- +-- The small primes are tested for divisibility first, and then the +-- Miller-Rabin algorithm with an accuracy of 30 rounds. +-- +-- A Fermat test of fifty consecutive bases used to run between the two. It +-- ruled out nothing Miller-Rabin does not: a strong probable prime to a base +-- is a Fermat probable prime to that base, and the converse is what Carmichael +-- numbers are. What it cost was fifty modular exponentiations on every number +-- that turned out to be prime -- 2167 of the 3480 microseconds spent on a +-- 512-bit prime, and about two thirds of the time to generate one. isProbablyPrime :: Integer -> Bool -isProbablyPrime !n +isProbablyPrime = probablyPrime 30 + +-- | The same, with the number of rounds said outright. +-- +-- Thirty rounds is what a number from anywhere gets: whoever handed it over +-- may have built it to pass, and against that the only thing to go on is that +-- each round with a base drawn at random catches three quarters of the +-- composites there are, whatever the number is. Thirty of them leave one +-- chance in 2^60. +probablyPrime :: Int -> Integer -> Bool +probablyPrime rounds !n + | n < 2 = False | any (\p -> p `divides` n) (filter (< n) firstPrimes) = False - | n >= 2 && n <= 2903 = True - | primalityTestFermat 50 (n `div` 2) n = primalityTestMillerRabin 30 n - | otherwise = False + | n <= 2903 = True + | otherwise = primalityTestMillerRabin rounds n +-- | How many rounds a candidate drawn here needs. +-- +-- A number nobody chose is a different matter from one somebody did. The +-- composites that survive a round are rare, and the ones that survive several +-- are rarer than the bound above says: Damgard, Landrock and Pomerance +-- worked out how much rarer for a candidate drawn at random, and Table 4.4 of +-- the Handbook of Applied Cryptography puts their numbers in a table -- two +-- rounds at 1300 bits, three at 850, five at 550, and so on, for one chance +-- in 2^80. +-- +-- This is twice that, and never more than the thirty a number from anywhere +-- gets, which leaves the chance far under one in 2^100 at every size. It is +-- what makes generating a prime worth doing: the thirty rounds were half the +-- time it took. +roundsForDrawn :: Int -> Int +roundsForDrawn bits + | bits >= 1300 = 6 + | bits >= 850 = 8 + | bits >= 650 = 10 + | bits >= 550 = 12 + | bits >= 450 = 14 + | bits >= 400 = 16 + | bits >= 350 = 18 + | bits >= 300 = 20 + | bits >= 250 = 24 + | otherwise = 30 + -- | Generate a prime number of the required bitsize (i.e. in the range -- [2^(b-1)+2^(b-2), 2^b)). -- @@ -50,14 +96,16 @@ -- the proper size. generatePrime :: MonadRandom m => Int -> m Integer generatePrime bits = do - if bits < 5 then - throwCryptoError $ CryptoFailed $ CryptoError_PrimeSizeInvalid - else do - sp <- generateParams bits (Just SetTwoHighest) True - let prime = findPrimeFrom sp - if prime < 1 `shiftL` bits then - return $ prime - else generatePrime bits + if bits < 5 + then + throwCryptoError $ CryptoFailed $ CryptoError_PrimeSizeInvalid + else do + sp <- generateParams bits (Just SetTwoHighest) True + let prime = findPrimeFromDrawn (roundsForDrawn bits) sp + if prime < 1 `shiftL` bits + then + return $ prime + else generatePrime bits -- | Generate a prime number of the form 2p+1 where p is also prime. -- it is also knowed as a Sophie Germaine prime or safe prime. @@ -69,28 +117,45 @@ -- 6 bits, as the smallest safe prime with the two highest bits set is 59. generateSafePrime :: MonadRandom m => Int -> m Integer generateSafePrime bits = do - if bits < 6 then - throwCryptoError $ CryptoFailed $ CryptoError_PrimeSizeInvalid - else do - sp <- generateParams bits (Just SetTwoHighest) True - let p = findPrimeFromWith (\i -> isProbablyPrime (2*i+1)) (sp `div` 2) - let val = 2 * p + 1 - if val < 1 `shiftL` bits then - return $ val - else generateSafePrime bits + if bits < 6 + then + throwCryptoError $ CryptoFailed $ CryptoError_PrimeSizeInvalid + else do + sp <- generateParams bits (Just SetTwoHighest) True + let rounds = roundsForDrawn bits + p = + findPrimeFromWithRounds + rounds + (\i -> probablyPrime rounds (2 * i + 1)) + (sp `div` 2) + let val = 2 * p + 1 + if val < 1 `shiftL` bits + then + return $ val + else generateSafePrime bits -- | Find a prime from a starting point where the property hold. findPrimeFromWith :: (Integer -> Bool) -> Integer -> Integer -findPrimeFromWith prop !n - | even n = findPrimeFromWith prop (n+1) - | otherwise = - if not (isProbablyPrime n) - then findPrimeFromWith prop (n+2) +findPrimeFromWith = findPrimeFromWithRounds 30 + +-- | The same, with the number of rounds said outright: the walk starts where +-- the caller says, and only a caller that drew that starting point itself is +-- entitled to the smaller number. +findPrimeFromWithRounds :: Int -> (Integer -> Bool) -> Integer -> Integer +findPrimeFromWithRounds rounds prop !n + | even n = findPrimeFromWithRounds rounds prop (n + 1) + | otherwise = + if not (probablyPrime rounds n) + then findPrimeFromWithRounds rounds prop (n + 2) else if prop n then n - else findPrimeFromWith prop (n+2) + else findPrimeFromWithRounds rounds prop (n + 2) +-- | Find a prime from a starting point that the caller drew itself. +findPrimeFromDrawn :: Int -> Integer -> Integer +findPrimeFromDrawn rounds = findPrimeFromWithRounds rounds (\_ -> True) + -- | Find a prime from a starting point with no specific property. findPrimeFrom :: Integer -> Integer findPrimeFrom n = @@ -100,48 +165,56 @@ -- | Miller Rabin algorithm return if the number is probably prime or composite. -- the tries parameter is the number of recursion, that determines the accuracy of the test. +-- +-- The witnesses are drawn from a generator derived from @n@ itself and from a +-- secret drawn once per process: testing the same number twice gives the same +-- answer, testing two numbers draws independent witnesses for each, and an +-- attacker choosing the number cannot tell which witnesses it will face. primalityTestMillerRabin :: Int -> Integer -> Bool primalityTestMillerRabin tries !n = case gmpTestPrimeMillerRabin tries n of GmpSupported b -> b - GmpUnsupported -> probabilistic run + -- the material is forced only once a witness is drawn, which the + -- guards in run reach only for an odd n above 3 + GmpUnsupported -> probabilisticFrom (i2osp n :: Bytes) run where run - | n <= 3 = error "Miller-Rabin requires tested value to be > 3" - | even n = return False + | n <= 3 = error "Miller-Rabin requires tested value to be > 3" + | even n = return False | tries <= 0 = error "Miller-Rabin tries need to be > 0" - | otherwise = loop <$> generateTries tries + | otherwise = loop <$> generateTries tries - !nm1 = n-1 - !nm2 = n-2 + !nm1 = n - 1 + !nm2 = n - 2 - (!s,!d) = (factorise 0 nm1) + (!s, !d) = (factorise 0 nm1) generateTries 0 = return [] generateTries t = do - v <- generateBetween 2 nm2 - vs <- generateTries (t-1) - return (v:vs) + v <- generateBetween 2 nm2 + vs <- generateTries (t - 1) + return (v : vs) -- factorise n-1 into the form 2^s*d factorise :: Integer -> Integer -> (Integer, Integer) factorise !si !vi | vi `testBit` 0 = (si, vi) - | otherwise = factorise (si+1) (vi `shiftR` 1) -- probably faster to not shift v continuously, but just once. + | otherwise = factorise (si + 1) (vi `shiftR` 1) -- probably faster to not shift v continuously, but just once. expmod = expSafe -- when iteration reach zero, we have a probable prime - loop [] = True - loop (w:ws) = let x = expmod w d n - in if x == (1 :: Integer) || x == nm1 - then loop ws - else loop' ws ((x*x) `mod` n) 1 + loop [] = True + loop (w : ws) = + let x = expmod w d n + in if x == (1 :: Integer) || x == nm1 + then loop ws + else loop' ws ((x * x) `mod` n) 1 -- loop from 1 to s-1. if we reach the end then it's composite loop' ws !x2 !r - | r == s = False - | x2 == 1 = False - | x2 /= nm1 = loop' ws ((x2*x2) `mod` n) (r+1) + | r == s = False + | x2 == 1 = False + | x2 /= nm1 = loop' ws ((x2 * x2) `mod` n) (r + 1) | otherwise = loop ws {- @@ -157,77 +230,461 @@ -- | Probabilitic Test using Fermat primility test. -- Beware of Carmichael numbers that are Fermat liars, i.e. this test -- is useless for them. always combines with some other test. -primalityTestFermat :: Int -- ^ number of iterations of the algorithm - -> Integer -- ^ starting a - -> Integer -- ^ number to test for primality - -> Bool -primalityTestFermat n a p = and $ map expTest [a..(a+fromIntegral n)] - where !pm1 = p-1 - expTest i = expSafe i pm1 p == 1 +primalityTestFermat + :: Int + -- ^ number of iterations of the algorithm + -> Integer + -- ^ starting a + -> Integer + -- ^ number to test for primality + -> Bool +primalityTestFermat n a p = and $ map expTest [a .. (a + fromIntegral n)] + where + !pm1 = p - 1 + expTest i = expSafe i pm1 p == 1 -- | Test naively is integer is prime. -- while naive, we skip even number and stop iteration at i > sqrt(n) primalityTestNaive :: Integer -> Bool primalityTestNaive n - | n <= 1 = False - | n == 2 = True - | even n = False + | n <= 1 = False + | n == 2 = True + | even n = False | otherwise = search 3 - where !ubound = snd $ sqrti n - search !i - | i > ubound = True - | i `divides` n = False - | otherwise = search (i+2) + where + !ubound = snd $ sqrti n + search !i + | i > ubound = True + | i `divides` n = False + | otherwise = search (i + 2) -- | Test is two integer are coprime to each other isCoprime :: Integer -> Integer -> Bool -isCoprime m n = case gcde m n of (_,_,d) -> d == 1 +isCoprime m n = case gcde m n of (_, _, d) -> d == 1 -- | List of the first primes till 2903. firstPrimes :: [Integer] firstPrimes = - [ 2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 - , 31 , 37 , 41 , 43 , 47 , 53 , 59 , 61 , 67 , 71 - , 73 , 79 , 83 , 89 , 97 , 101 , 103 , 107 , 109 , 113 - , 127 , 131 , 137 , 139 , 149 , 151 , 157 , 163 , 167 , 173 - , 179 , 181 , 191 , 193 , 197 , 199 , 211 , 223 , 227 , 229 - , 233 , 239 , 241 , 251 , 257 , 263 , 269 , 271 , 277 , 281 - , 283 , 293 , 307 , 311 , 313 , 317 , 331 , 337 , 347 , 349 - , 353 , 359 , 367 , 373 , 379 , 383 , 389 , 397 , 401 , 409 - , 419 , 421 , 431 , 433 , 439 , 443 , 449 , 457 , 461 , 463 - , 467 , 479 , 487 , 491 , 499 , 503 , 509 , 521 , 523 , 541 - , 547 , 557 , 563 , 569 , 571 , 577 , 587 , 593 , 599 , 601 - , 607 , 613 , 617 , 619 , 631 , 641 , 643 , 647 , 653 , 659 - , 661 , 673 , 677 , 683 , 691 , 701 , 709 , 719 , 727 , 733 - , 739 , 743 , 751 , 757 , 761 , 769 , 773 , 787 , 797 , 809 - , 811 , 821 , 823 , 827 , 829 , 839 , 853 , 857 , 859 , 863 - , 877 , 881 , 883 , 887 , 907 , 911 , 919 , 929 , 937 , 941 - , 947 , 953 , 967 , 971 , 977 , 983 , 991 , 997 , 1009 , 1013 - , 1019 , 1021 , 1031 , 1033 , 1039 , 1049 , 1051 , 1061 , 1063 , 1069 - , 1087 , 1091 , 1093 , 1097 , 1103 , 1109 , 1117 , 1123 , 1129 , 1151 - , 1153 , 1163 , 1171 , 1181 , 1187 , 1193 , 1201 , 1213 , 1217 , 1223 - , 1229 , 1231 , 1237 , 1249 , 1259 , 1277 , 1279 , 1283 , 1289 , 1291 - , 1297 , 1301 , 1303 , 1307 , 1319 , 1321 , 1327 , 1361 , 1367 , 1373 - , 1381 , 1399 , 1409 , 1423 , 1427 , 1429 , 1433 , 1439 , 1447 , 1451 - , 1453 , 1459 , 1471 , 1481 , 1483 , 1487 , 1489 , 1493 , 1499 , 1511 - , 1523 , 1531 , 1543 , 1549 , 1553 , 1559 , 1567 , 1571 , 1579 , 1583 - , 1597 , 1601 , 1607 , 1609 , 1613 , 1619 , 1621 , 1627 , 1637 , 1657 - , 1663 , 1667 , 1669 , 1693 , 1697 , 1699 , 1709 , 1721 , 1723 , 1733 - , 1741 , 1747 , 1753 , 1759 , 1777 , 1783 , 1787 , 1789 , 1801 , 1811 - , 1823 , 1831 , 1847 , 1861 , 1867 , 1871 , 1873 , 1877 , 1879 , 1889 - , 1901 , 1907 , 1913 , 1931 , 1933 , 1949 , 1951 , 1973 , 1979 , 1987 - , 1993 , 1997 , 1999 , 2003 , 2011 , 2017 , 2027 , 2029 , 2039 , 2053 - , 2063 , 2069 , 2081 , 2083 , 2087 , 2089 , 2099 , 2111 , 2113 , 2129 - , 2131 , 2137 , 2141 , 2143 , 2153 , 2161 , 2179 , 2203 , 2207 , 2213 - , 2221 , 2237 , 2239 , 2243 , 2251 , 2267 , 2269 , 2273 , 2281 , 2287 - , 2293 , 2297 , 2309 , 2311 , 2333 , 2339 , 2341 , 2347 , 2351 , 2357 - , 2371 , 2377 , 2381 , 2383 , 2389 , 2393 , 2399 , 2411 , 2417 , 2423 - , 2437 , 2441 , 2447 , 2459 , 2467 , 2473 , 2477 , 2503 , 2521 , 2531 - , 2539 , 2543 , 2549 , 2551 , 2557 , 2579 , 2591 , 2593 , 2609 , 2617 - , 2621 , 2633 , 2647 , 2657 , 2659 , 2663 , 2671 , 2677 , 2683 , 2687 - , 2689 , 2693 , 2699 , 2707 , 2711 , 2713 , 2719 , 2729 , 2731 , 2741 - , 2749 , 2753 , 2767 , 2777 , 2789 , 2791 , 2797 , 2801 , 2803 , 2819 - , 2833 , 2837 , 2843 , 2851 , 2857 , 2861 , 2879 , 2887 , 2897 , 2903 + [ 2 + , 3 + , 5 + , 7 + , 11 + , 13 + , 17 + , 19 + , 23 + , 29 + , 31 + , 37 + , 41 + , 43 + , 47 + , 53 + , 59 + , 61 + , 67 + , 71 + , 73 + , 79 + , 83 + , 89 + , 97 + , 101 + , 103 + , 107 + , 109 + , 113 + , 127 + , 131 + , 137 + , 139 + , 149 + , 151 + , 157 + , 163 + , 167 + , 173 + , 179 + , 181 + , 191 + , 193 + , 197 + , 199 + , 211 + , 223 + , 227 + , 229 + , 233 + , 239 + , 241 + , 251 + , 257 + , 263 + , 269 + , 271 + , 277 + , 281 + , 283 + , 293 + , 307 + , 311 + , 313 + , 317 + , 331 + , 337 + , 347 + , 349 + , 353 + , 359 + , 367 + , 373 + , 379 + , 383 + , 389 + , 397 + , 401 + , 409 + , 419 + , 421 + , 431 + , 433 + , 439 + , 443 + , 449 + , 457 + , 461 + , 463 + , 467 + , 479 + , 487 + , 491 + , 499 + , 503 + , 509 + , 521 + , 523 + , 541 + , 547 + , 557 + , 563 + , 569 + , 571 + , 577 + , 587 + , 593 + , 599 + , 601 + , 607 + , 613 + , 617 + , 619 + , 631 + , 641 + , 643 + , 647 + , 653 + , 659 + , 661 + , 673 + , 677 + , 683 + , 691 + , 701 + , 709 + , 719 + , 727 + , 733 + , 739 + , 743 + , 751 + , 757 + , 761 + , 769 + , 773 + , 787 + , 797 + , 809 + , 811 + , 821 + , 823 + , 827 + , 829 + , 839 + , 853 + , 857 + , 859 + , 863 + , 877 + , 881 + , 883 + , 887 + , 907 + , 911 + , 919 + , 929 + , 937 + , 941 + , 947 + , 953 + , 967 + , 971 + , 977 + , 983 + , 991 + , 997 + , 1009 + , 1013 + , 1019 + , 1021 + , 1031 + , 1033 + , 1039 + , 1049 + , 1051 + , 1061 + , 1063 + , 1069 + , 1087 + , 1091 + , 1093 + , 1097 + , 1103 + , 1109 + , 1117 + , 1123 + , 1129 + , 1151 + , 1153 + , 1163 + , 1171 + , 1181 + , 1187 + , 1193 + , 1201 + , 1213 + , 1217 + , 1223 + , 1229 + , 1231 + , 1237 + , 1249 + , 1259 + , 1277 + , 1279 + , 1283 + , 1289 + , 1291 + , 1297 + , 1301 + , 1303 + , 1307 + , 1319 + , 1321 + , 1327 + , 1361 + , 1367 + , 1373 + , 1381 + , 1399 + , 1409 + , 1423 + , 1427 + , 1429 + , 1433 + , 1439 + , 1447 + , 1451 + , 1453 + , 1459 + , 1471 + , 1481 + , 1483 + , 1487 + , 1489 + , 1493 + , 1499 + , 1511 + , 1523 + , 1531 + , 1543 + , 1549 + , 1553 + , 1559 + , 1567 + , 1571 + , 1579 + , 1583 + , 1597 + , 1601 + , 1607 + , 1609 + , 1613 + , 1619 + , 1621 + , 1627 + , 1637 + , 1657 + , 1663 + , 1667 + , 1669 + , 1693 + , 1697 + , 1699 + , 1709 + , 1721 + , 1723 + , 1733 + , 1741 + , 1747 + , 1753 + , 1759 + , 1777 + , 1783 + , 1787 + , 1789 + , 1801 + , 1811 + , 1823 + , 1831 + , 1847 + , 1861 + , 1867 + , 1871 + , 1873 + , 1877 + , 1879 + , 1889 + , 1901 + , 1907 + , 1913 + , 1931 + , 1933 + , 1949 + , 1951 + , 1973 + , 1979 + , 1987 + , 1993 + , 1997 + , 1999 + , 2003 + , 2011 + , 2017 + , 2027 + , 2029 + , 2039 + , 2053 + , 2063 + , 2069 + , 2081 + , 2083 + , 2087 + , 2089 + , 2099 + , 2111 + , 2113 + , 2129 + , 2131 + , 2137 + , 2141 + , 2143 + , 2153 + , 2161 + , 2179 + , 2203 + , 2207 + , 2213 + , 2221 + , 2237 + , 2239 + , 2243 + , 2251 + , 2267 + , 2269 + , 2273 + , 2281 + , 2287 + , 2293 + , 2297 + , 2309 + , 2311 + , 2333 + , 2339 + , 2341 + , 2347 + , 2351 + , 2357 + , 2371 + , 2377 + , 2381 + , 2383 + , 2389 + , 2393 + , 2399 + , 2411 + , 2417 + , 2423 + , 2437 + , 2441 + , 2447 + , 2459 + , 2467 + , 2473 + , 2477 + , 2503 + , 2521 + , 2531 + , 2539 + , 2543 + , 2549 + , 2551 + , 2557 + , 2579 + , 2591 + , 2593 + , 2609 + , 2617 + , 2621 + , 2633 + , 2647 + , 2657 + , 2659 + , 2663 + , 2671 + , 2677 + , 2683 + , 2687 + , 2689 + , 2693 + , 2699 + , 2707 + , 2711 + , 2713 + , 2719 + , 2729 + , 2731 + , 2741 + , 2749 + , 2753 + , 2767 + , 2777 + , 2789 + , 2791 + , 2797 + , 2801 + , 2803 + , 2819 + , 2833 + , 2837 + , 2843 + , 2851 + , 2857 + , 2861 + , 2879 + , 2887 + , 2897 + , 2903 ] {-# INLINE divides #-} diff --git a/Crypto/Number/Serialize.hs b/Crypto/Number/Serialize.hs --- a/Crypto/Number/Serialize.hs +++ b/Crypto/Number/Serialize.hs @@ -1,3 +1,5 @@ +{-# LANGUAGE BangPatterns #-} + -- | -- Module : Crypto.Number.Serialize -- License : BSD-style @@ -6,17 +8,16 @@ -- Portability : Good -- -- Fast serialization primitives for integer -{-# LANGUAGE BangPatterns #-} -module Crypto.Number.Serialize - ( i2osp - , os2ip - , i2ospOf - , i2ospOf_ - ) where +module Crypto.Number.Serialize ( + i2osp, + os2ip, + i2ospOf, + i2ospOf_, +) where -import Crypto.Number.Basic -import Crypto.Internal.Compat (unsafeDoIO) import qualified Crypto.Internal.ByteArray as B +import Crypto.Internal.Compat (unsafeDoIO) +import Crypto.Number.Basic import qualified Crypto.Number.Serialize.Internal as Internal -- | @os2ip@ converts a byte string into a positive integer. @@ -27,23 +28,24 @@ -- -- The first byte is MSB (most significant byte); the last byte is the LSB (least significant byte) i2osp :: B.ByteArray ba => Integer -> ba -i2osp 0 = B.allocAndFreeze 1 (\p -> Internal.i2osp 0 p 1 >> return ()) +i2osp 0 = B.allocAndFreeze 1 (\p -> Internal.i2osp 0 p 1 >> return ()) i2osp m = B.allocAndFreeze sz (\p -> Internal.i2osp m p sz >> return ()) where - !sz = numBytes m + !sz = numBytes m -- | Just like 'i2osp', but takes an extra parameter for size. -- If the number is too big to fit in @len@ bytes, 'Nothing' is returned -- otherwise the number is padded with 0 to fit the @len@ required. -{-# INLINABLE i2ospOf #-} +{-# INLINEABLE i2ospOf #-} i2ospOf :: B.ByteArray ba => Int -> Integer -> Maybe ba i2ospOf len m - | len <= 0 = Nothing - | m < 0 = Nothing - | sz > len = Nothing - | otherwise = Just $ B.unsafeCreate len (\p -> Internal.i2ospOf m p len >> return ()) + | len <= 0 = Nothing + | m < 0 = Nothing + | sz > len = Nothing + | otherwise = + Just $ B.unsafeCreate len (\p -> Internal.i2ospOf m p len >> return ()) where - !sz = numBytes m + !sz = numBytes m -- | Just like 'i2ospOf' except that it doesn't expect a failure: i.e. -- an integer larger than the number of output bytes requested. diff --git a/Crypto/Number/Serialize/Internal.hs b/Crypto/Number/Serialize/Internal.hs --- a/Crypto/Number/Serialize/Internal.hs +++ b/Crypto/Number/Serialize/Internal.hs @@ -1,3 +1,5 @@ +{-# LANGUAGE BangPatterns #-} + -- | -- Module : Crypto.Number.Serialize.Internal -- License : BSD-style @@ -6,20 +8,19 @@ -- Portability : Good -- -- Fast serialization primitives for integer using raw pointers -{-# LANGUAGE BangPatterns #-} -module Crypto.Number.Serialize.Internal - ( i2osp - , i2ospOf - , os2ip - ) where +module Crypto.Number.Serialize.Internal ( + i2osp, + i2ospOf, + os2ip, +) where -import Crypto.Number.Compat -import Crypto.Number.Basic -import Data.Bits -import Data.Memory.PtrMethods -import Data.Word (Word8) -import Foreign.Ptr -import Foreign.Storable +import Crypto.Number.Basic +import Crypto.Number.Compat +import Data.Bits +import Data.Memory.PtrMethods +import Data.Word (Word8) +import Foreign.Ptr +import Foreign.Storable -- | Fill a pointer with the big endian binary representation of an integer -- @@ -30,47 +31,52 @@ i2osp :: Integer -> Ptr Word8 -> Int -> IO Int i2osp m ptr ptrSz | ptrSz <= 0 = return 0 - | m < 0 = return 0 - | m == 0 = pokeByteOff ptr 0 (0 :: Word8) >> return 1 + | m < 0 = return 0 + | m == 0 = pokeByteOff ptr 0 (0 :: Word8) >> return 1 | ptrSz < sz = return 0 - | otherwise = fillPtr ptr sz m >> return sz + | otherwise = fillPtr ptr sz m >> return sz where - !sz = numBytes m + !sz = numBytes m -- | Similar to 'i2osp', except it will pad any remaining space with zero. i2ospOf :: Integer -> Ptr Word8 -> Int -> IO Int i2ospOf m ptr ptrSz | ptrSz <= 0 = return 0 - | m < 0 = return 0 + | m < 0 = return 0 | ptrSz < sz = return 0 - | otherwise = do + | otherwise = do memSet ptr 0 ptrSz fillPtr (ptr `plusPtr` padSz) sz m return ptrSz where - !sz = numBytes m + !sz = numBytes m !padSz = ptrSz - sz fillPtr :: Ptr Word8 -> Int -> Integer -> IO () -fillPtr p sz m = gmpExportInteger m p `onGmpUnsupported` export (sz-1) m +fillPtr p sz m + -- zero is no bytes wide, and the callers above have already written the + -- room out as zeros. Without this the loop below starts at offset -1, + -- never meets the 0 it stops at, and walks backwards out of the buffer. + | sz <= 0 = return () + | otherwise = gmpExportInteger m p `onGmpUnsupported` export (sz - 1) m where export ofs i - | ofs == 0 = pokeByteOff p ofs (fromIntegral i :: Word8) + | ofs == 0 = pokeByteOff p ofs (fromIntegral i :: Word8) | otherwise = do let (i', b) = i `divMod` 256 pokeByteOff p ofs (fromIntegral b :: Word8) - export (ofs-1) i' + export (ofs - 1) i' -- | Transform a big endian binary integer representation pointed by a pointer and a size -- into an integer os2ip :: Ptr Word8 -> Int -> IO Integer os2ip ptr ptrSz | ptrSz <= 0 = return 0 - | otherwise = gmpImportInteger ptrSz ptr `onGmpUnsupported` loop 0 0 ptr + | otherwise = gmpImportInteger ptrSz ptr `onGmpUnsupported` loop 0 0 ptr where loop :: Integer -> Int -> Ptr Word8 -> IO Integer loop !acc i !p | i == ptrSz = return acc - | otherwise = do + | otherwise = do w <- peekByteOff p i :: IO Word8 - loop ((acc `shiftL` 8) .|. fromIntegral w) (i+1) p + loop ((acc `shiftL` 8) .|. fromIntegral w) (i + 1) p diff --git a/Crypto/Number/Serialize/Internal/LE.hs b/Crypto/Number/Serialize/Internal/LE.hs --- a/Crypto/Number/Serialize/Internal/LE.hs +++ b/Crypto/Number/Serialize/Internal/LE.hs @@ -1,3 +1,5 @@ +{-# LANGUAGE BangPatterns #-} + -- | -- Module : Crypto.Number.Serialize.Internal.LE -- License : BSD-style @@ -6,20 +8,19 @@ -- Portability : Good -- -- Fast serialization primitives for integer using raw pointers (little endian) -{-# LANGUAGE BangPatterns #-} -module Crypto.Number.Serialize.Internal.LE - ( i2osp - , i2ospOf - , os2ip - ) where +module Crypto.Number.Serialize.Internal.LE ( + i2osp, + i2ospOf, + os2ip, +) where -import Crypto.Number.Compat -import Crypto.Number.Basic -import Data.Bits -import Data.Memory.PtrMethods -import Data.Word (Word8) -import Foreign.Ptr -import Foreign.Storable +import Crypto.Number.Basic +import Crypto.Number.Compat +import Data.Bits +import Data.Memory.PtrMethods +import Data.Word (Word8) +import Foreign.Ptr +import Foreign.Storable -- | Fill a pointer with the little endian binary representation of an integer -- @@ -30,25 +31,25 @@ i2osp :: Integer -> Ptr Word8 -> Int -> IO Int i2osp m ptr ptrSz | ptrSz <= 0 = return 0 - | m < 0 = return 0 - | m == 0 = pokeByteOff ptr 0 (0 :: Word8) >> return 1 + | m < 0 = return 0 + | m == 0 = pokeByteOff ptr 0 (0 :: Word8) >> return 1 | ptrSz < sz = return 0 - | otherwise = fillPtr ptr sz m >> return sz + | otherwise = fillPtr ptr sz m >> return sz where - !sz = numBytes m + !sz = numBytes m -- | Similar to 'i2osp', except it will pad any remaining space with zero. i2ospOf :: Integer -> Ptr Word8 -> Int -> IO Int i2ospOf m ptr ptrSz | ptrSz <= 0 = return 0 - | m < 0 = return 0 + | m < 0 = return 0 | ptrSz < sz = return 0 - | otherwise = do + | otherwise = do memSet ptr 0 ptrSz fillPtr ptr sz m return ptrSz where - !sz = numBytes m + !sz = numBytes m fillPtr :: Ptr Word8 -> Int -> Integer -> IO () fillPtr p sz m = gmpExportIntegerLE m p `onGmpUnsupported` export 0 m @@ -58,18 +59,19 @@ | otherwise = do let (i', b) = i `divMod` 256 pokeByteOff p ofs (fromIntegral b :: Word8) - export (ofs+1) i' + export (ofs + 1) i' -- | Transform a little endian binary integer representation pointed by a -- pointer and a size into an integer os2ip :: Ptr Word8 -> Int -> IO Integer os2ip ptr ptrSz | ptrSz <= 0 = return 0 - | otherwise = gmpImportIntegerLE ptrSz ptr `onGmpUnsupported` loop 0 (ptrSz-1) ptr + | otherwise = + gmpImportIntegerLE ptrSz ptr `onGmpUnsupported` loop 0 (ptrSz - 1) ptr where loop :: Integer -> Int -> Ptr Word8 -> IO Integer loop !acc i !p - | i < 0 = return acc - | otherwise = do + | i < 0 = return acc + | otherwise = do w <- peekByteOff p i :: IO Word8 - loop ((acc `shiftL` 8) .|. fromIntegral w) (i-1) p + loop ((acc `shiftL` 8) .|. fromIntegral w) (i - 1) p diff --git a/Crypto/Number/Serialize/LE.hs b/Crypto/Number/Serialize/LE.hs --- a/Crypto/Number/Serialize/LE.hs +++ b/Crypto/Number/Serialize/LE.hs @@ -1,3 +1,5 @@ +{-# LANGUAGE BangPatterns #-} + -- | -- Module : Crypto.Number.Serialize.LE -- License : BSD-style @@ -6,17 +8,16 @@ -- Portability : Good -- -- Fast serialization primitives for integer (little endian) -{-# LANGUAGE BangPatterns #-} -module Crypto.Number.Serialize.LE - ( i2osp - , os2ip - , i2ospOf - , i2ospOf_ - ) where +module Crypto.Number.Serialize.LE ( + i2osp, + os2ip, + i2ospOf, + i2ospOf_, +) where -import Crypto.Number.Basic -import Crypto.Internal.Compat (unsafeDoIO) import qualified Crypto.Internal.ByteArray as B +import Crypto.Internal.Compat (unsafeDoIO) +import Crypto.Number.Basic import qualified Crypto.Number.Serialize.Internal.LE as Internal -- | @os2ip@ converts a byte string into a positive integer. @@ -27,23 +28,24 @@ -- -- The first byte is LSB (least significant byte); the last byte is the MSB (most significant byte) i2osp :: B.ByteArray ba => Integer -> ba -i2osp 0 = B.allocAndFreeze 1 (\p -> Internal.i2osp 0 p 1 >> return ()) +i2osp 0 = B.allocAndFreeze 1 (\p -> Internal.i2osp 0 p 1 >> return ()) i2osp m = B.allocAndFreeze sz (\p -> Internal.i2osp m p sz >> return ()) where - !sz = numBytes m + !sz = numBytes m -- | Just like 'i2osp', but takes an extra parameter for size. -- If the number is too big to fit in @len@ bytes, 'Nothing' is returned -- otherwise the number is padded with 0 to fit the @len@ required. -{-# INLINABLE i2ospOf #-} +{-# INLINEABLE i2ospOf #-} i2ospOf :: B.ByteArray ba => Int -> Integer -> Maybe ba i2ospOf len m - | len <= 0 = Nothing - | m < 0 = Nothing - | sz > len = Nothing - | otherwise = Just $ B.unsafeCreate len (\p -> Internal.i2ospOf m p len >> return ()) + | len <= 0 = Nothing + | m < 0 = Nothing + | sz > len = Nothing + | otherwise = + Just $ B.unsafeCreate len (\p -> Internal.i2ospOf m p len >> return ()) where - !sz = numBytes m + !sz = numBytes m -- | Just like 'i2ospOf' except that it doesn't expect a failure: i.e. -- an integer larger than the number of output bytes requested. diff --git a/Crypto/OTP.hs b/Crypto/OTP.hs --- a/Crypto/OTP.hs +++ b/Crypto/OTP.hs @@ -1,3 +1,4 @@ +{-# LANGUAGE BangPatterns #-} {-# LANGUAGE ScopedTypeVariables #-} -- | One-time password implementation as defined by the @@ -25,33 +26,32 @@ -- >>> import Data.Time.Clock.POSIX -- >>> -- >>> let getOTPTime = getPOSIXTime >>= \t -> return (floor t :: OTPTime) --- - -module Crypto.OTP - ( OTP - , OTPDigits (..) - , OTPTime - , hotp - , resynchronize - , totp - , totpVerify - , TOTPParams - , ClockSkew (..) - , defaultTOTPParams - , mkTOTPParams - ) +module Crypto.OTP ( + OTP, + OTPDigits (..), + OTPTime, + minimumDigestSize, + hotp, + resynchronize, + totp, + totpVerify, + TOTPParams, + ClockSkew (..), + defaultTOTPParams, + mkTOTPParams, +) where -import Data.Bits (shiftL, (.&.), (.|.)) -import Data.ByteArray.Mapping (fromW64BE) -import Data.List (elemIndex) -import Data.Word -import Control.Monad (unless) -import Crypto.Hash (HashAlgorithm, SHA1(..)) -import Crypto.MAC.HMAC -import Crypto.Internal.ByteArray (ByteArrayAccess, Bytes) +import Control.Monad (unless) +import Crypto.Hash (HashAlgorithm, SHA1 (..), hashDigestSize) +import Crypto.Internal.ByteArray (ByteArrayAccess, Bytes) import qualified Crypto.Internal.ByteArray as B - +import Crypto.MAC.HMAC +import Data.Bits (complement, shiftL, shiftR, xor, (.&.), (.|.)) +import Data.ByteArray.Mapping (fromW64BE) +import Data.List (foldl') +import Data.Word +import Prelude hiding (foldl') -- | A one-time password which is a sequence of 4 to 9 digits. type OTP = Word32 @@ -63,7 +63,24 @@ -- | An integral time value in seconds. type OTPTime = Word64 -hotp :: forall hash key. (HashAlgorithm hash, ByteArrayAccess key) +-- | The smallest hash digest 'hotp' can be used with, in bytes. +-- +-- RFC 4226 section 5.3 defines dynamic truncation over the 20-byte HMAC-SHA-1 +-- output: the offset is the low four bits of the last byte, so it selects any +-- of the first 16 bytes, and four bytes are then read starting there. The +-- highest byte that can be reached is therefore byte 18, and a shorter digest +-- would make that read run off the end of the MAC. +minimumDigestSize :: Int +minimumDigestSize = 20 + +-- | Calculate an HOTP value as defined by RFC 4226. +-- +-- The hash must produce a digest of at least 'minimumDigestSize' bytes, which +-- is what the dynamic truncation step is defined over; 'error' is raised +-- otherwise. +hotp + :: forall hash key + . (HashAlgorithm hash, ByteArrayAccess key) => hash -> OTPDigits -- ^ Number of digits in the HOTP value extracted from the calculated HMAC @@ -73,18 +90,35 @@ -- ^ Counter value synchronized between the client and server -> OTP -- ^ The HOTP value -hotp _ d k c = dt `mod` digitsPower d +hotp _ d k c + | macLen < minimumDigestSize = + error $ + "Crypto.OTP.hotp: hash digest is " + ++ show macLen + ++ " bytes, but at least " + ++ show minimumDigestSize + ++ " are required" + | otherwise = dt `mod` digitsPower d where mac = hmac k (fromW64BE c :: Bytes) :: HMAC hash - offset = fromIntegral (B.index mac (B.length mac - 1) .&. 0xf) - dt = (fromIntegral (B.index mac offset .&. 0x7f) `shiftL` 24) .|. - (fromIntegral (B.index mac (offset + 1) .&. 0xff) `shiftL` 16) .|. - (fromIntegral (B.index mac (offset + 2) .&. 0xff) `shiftL` 8) .|. - fromIntegral (B.index mac (offset + 3) .&. 0xff) + macLen = B.length mac + offset = fromIntegral (B.index mac (macLen - 1) .&. 0xf) + dt = + (fromIntegral (B.index mac offset .&. 0x7f) `shiftL` 24) + .|. (fromIntegral (B.index mac (offset + 1) .&. 0xff) `shiftL` 16) + .|. (fromIntegral (B.index mac (offset + 2) .&. 0xff) `shiftL` 8) + .|. fromIntegral (B.index mac (offset + 3) .&. 0xff) -- | Attempt to resynchronize the server's counter value -- with the client, given a sequence of HOTP values. -resynchronize :: (HashAlgorithm hash, ByteArrayAccess key) +-- +-- Every counter in the window is tried and every submitted value is compared, +-- whatever matches, so the time taken does not depend on where in the window +-- the client's counter was found, nor on how many of the submitted values were +-- right. The cost of a call is therefore one HMAC per counter in the window +-- plus one per extra value, every time. +resynchronize + :: (HashAlgorithm hash, ByteArrayAccess key) => hash -> OTPDigits -> Word16 @@ -100,17 +134,46 @@ -> Maybe Word64 -- ^ The new counter value, synchronized with the client's current counter -- or Nothing if the submitted OTP values didn't match anywhere within the window -resynchronize h d s k c (p1, extras) = do - offBy <- fmap fromIntegral (elemIndex p1 range) - checkExtraOtps (c + offBy + 1) extras +resynchronize h d s k c (p1, extras) + | accepted == 0 = Nothing + | otherwise = Just (afterFirst + fromIntegral (length extras)) where - checkExtraOtps ctr [] = Just ctr - checkExtraOtps ctr (p:ps) - | hotp h d k ctr /= p = Nothing - | otherwise = checkExtraOtps (ctr + 1) ps + -- Every counter in the window is tried and every extra value is compared, + -- whatever matches: the search does not stop at the first hit and the + -- check of the extra values does not stop at the first miss. Each skipped + -- counter used to save an HMAC, so the time taken revealed where in the + -- window the client's counter sat and how many of its extra values were + -- right -- the second of which a client that submits guesses cannot learn + -- from the answer itself, since that is 'Nothing' either way. + accepted = matched .&. extrasMatched - range = map (hotp h d k)[c..c + fromIntegral s] + range = map (hotp h d k) [c .. c + fromIntegral s] + -- the offset of the first match, accumulated without stopping there + (matched, offset) = foldl' pick (0, 0) (zip [0 ..] range) + pick (!m, !off) (i, candidate) = (m .|. hit, off .|. (hit .&. i)) + where + -- zero once something has matched, so only the first match counts + hit = eqMask candidate p1 .&. complement m + + -- the counter the first submitted value matched, plus one + afterFirst = c + offset + 1 + + -- the counters continue past the window, and wrap where the old + -- 'checkExtraOtps' wrapped + extrasMatched = + foldl' step (complement 0) (zip (iterate (+ 1) afterFirst) extras) + step acc (ctr, p) = acc .&. eqMask (hotp h d k ctr) p + +-- | All ones when the two values are equal, zero otherwise, without branching +-- on either of them. +eqMask :: OTP -> OTP -> Word64 +eqMask a b = negate (fromIntegral (1 - nonZero)) + where + v = a `xor` b + -- 0 when v is zero, 1 otherwise + nonZero = (v .|. negate v) `shiftR` 31 + digitsPower :: OTPDigits -> Word32 digitsPower OTP4 = 10000 digitsPower OTP5 = 100000 @@ -119,17 +182,18 @@ digitsPower OTP8 = 100000000 digitsPower OTP9 = 1000000000 - data TOTPParams h = TP !h !OTPTime !Word16 !OTPDigits !ClockSkew deriving (Show) -data ClockSkew = NoSkew | OneStep | TwoSteps | ThreeSteps | FourSteps deriving (Enum, Show) +data ClockSkew = NoSkew | OneStep | TwoSteps | ThreeSteps | FourSteps + deriving (Enum, Show) -- | The default TOTP configuration. defaultTOTPParams :: TOTPParams SHA1 defaultTOTPParams = TP SHA1 0 30 OTP6 TwoSteps -- | Create a TOTP configuration with customized parameters. -mkTOTPParams :: (HashAlgorithm hash) +mkTOTPParams + :: HashAlgorithm hash => hash -> OTPTime -- ^ The T0 parameter in seconds. This is the Unix time from which to start @@ -146,10 +210,18 @@ mkTOTPParams h t0 x d skew = do unless (x > 0) (Left "Time step must be greater than zero") unless (x <= 300) (Left "Time step cannot be greater than 300 seconds") + unless + (hashDigestSize h >= minimumDigestSize) + ( Left $ + "Hash digest must be at least " + ++ show minimumDigestSize + ++ " bytes" + ) return (TP h t0 x d skew) -- | Calculate a totp value for the given time. -totp :: (HashAlgorithm hash, ByteArrayAccess key) +totp + :: (HashAlgorithm hash, ByteArrayAccess key) => TOTPParams hash -> key -- ^ The shared secret @@ -161,18 +233,25 @@ -- | Check a supplied TOTP value is valid for the given time, -- within the window defined by the skew parameter. -totpVerify :: (HashAlgorithm hash, ByteArrayAccess key) +totpVerify + :: (HashAlgorithm hash, ByteArrayAccess key) => TOTPParams hash -> key -> OTPTime -> OTP -> Bool -totpVerify (TP h t0 x d skew) k now otp = otp `elem` map (hotp h d k) (range window []) +totpVerify (TP h t0 x d skew) k now otp = matched /= 0 where t = timeToCounter now t0 x window = fromIntegral (fromEnum skew) range 0 acc = t : acc - range n acc = range (n-1) ((t-n) : (t+n) : acc) + range n acc = range (n - 1) ((t - n) : (t + n) : acc) + + -- every candidate is compared, and none of the comparisons stops early, so + -- neither which step matched nor how far a mismatch got is visible in how + -- long this takes + matched = foldl' step 0 (map (hotp h d k) (range window [])) + step acc candidate = acc .|. eqMask candidate otp timeToCounter :: Word64 -> Word64 -> Word16 -> Word64 timeToCounter now t0 x = (now - t0) `div` fromIntegral x diff --git a/Crypto/PubKey/Curve25519.hs b/Crypto/PubKey/Curve25519.hs --- a/Crypto/PubKey/Curve25519.hs +++ b/Crypto/PubKey/Curve25519.hs @@ -1,3 +1,6 @@ +{-# LANGUAGE GeneralizedNewtypeDeriving #-} +{-# LANGUAGE ScopedTypeVariables #-} + -- | -- Module : Crypto.PubKey.Curve25519 -- License : BSD-style @@ -6,55 +9,62 @@ -- Portability : unknown -- -- Curve25519 support --- -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -{-# LANGUAGE MagicHash #-} -{-# LANGUAGE ScopedTypeVariables #-} -module Crypto.PubKey.Curve25519 - ( SecretKey - , PublicKey - , DhSecret +module Crypto.PubKey.Curve25519 ( + SecretKey, + PublicKey, + DhSecret, + -- * Smart constructors - , dhSecret - , publicKey - , secretKey + dhSecret, + publicKey, + secretKey, + -- * Methods - , dh - , toPublic - , generateSecretKey - ) where + dh, + toPublic, + generateSecretKey, +) where -import Data.Bits -import Data.Word -import Foreign.Ptr -import Foreign.Storable -import GHC.Ptr +import Crypto.Debug (DebugShow (..), debugShowBytes) +import Data.Bits +import Data.Word +import Foreign.Ptr +import Foreign.Storable -import Crypto.Error -import Crypto.Internal.Compat -import Crypto.Internal.Imports -import Crypto.Internal.ByteArray (ByteArrayAccess, ScrubbedBytes, Bytes, withByteArray) +import Crypto.Error +import Crypto.Internal.ByteArray ( + ByteArrayAccess, + Bytes, + ScrubbedBytes, + withByteArray, + ) import qualified Crypto.Internal.ByteArray as B -import Crypto.Random +import Crypto.Internal.Compat +import Crypto.Internal.Imports +import Crypto.Random -- | A Curve25519 Secret key newtype SecretKey = SecretKey ScrubbedBytes - deriving (Show,Eq,ByteArrayAccess,NFData) + deriving (Show, Eq, ByteArrayAccess, NFData) +instance DebugShow SecretKey where + debugShow = debugShowBytes "SecretKey" + -- | A Curve25519 public key newtype PublicKey = PublicKey Bytes - deriving (Show,Eq,ByteArrayAccess,NFData) + deriving (Show, Eq, ByteArrayAccess, NFData) -- | A Curve25519 Diffie Hellman secret related to a -- public key and a secret key. newtype DhSecret = DhSecret ScrubbedBytes - deriving (Show,Eq,ByteArrayAccess,NFData) + deriving (Show, Eq, ByteArrayAccess, NFData) -- | Try to build a public key from a bytearray publicKey :: ByteArrayAccess bs => bs -> CryptoFailable PublicKey publicKey bs - | B.length bs == 32 = CryptoPassed $ PublicKey $ B.copyAndFreeze bs (\_ -> return ()) - | otherwise = CryptoFailed CryptoError_PublicKeySizeInvalid + | B.length bs == 32 = + CryptoPassed $ PublicKey $ B.copyAndFreeze bs (\_ -> return ()) + | otherwise = CryptoFailed CryptoError_PublicKeySizeInvalid -- | Try to build a secret key from a bytearray secretKey :: ByteArrayAccess bs => bs -> CryptoFailable SecretKey @@ -67,14 +77,14 @@ else return $ CryptoFailed CryptoError_SecretKeyStructureInvalid | otherwise = CryptoFailed CryptoError_SecretKeySizeInvalid where - -- e[0] &= 0xf8; - -- e[31] &= 0x7f; - -- e[31] |= 40; - isValidPtr :: Ptr Word8 -> IO Bool - isValidPtr _ = do - --b0 <- peekElemOff inp 0 - --b31 <- peekElemOff inp 31 - return True + -- e[0] &= 0xf8; + -- e[31] &= 0x7f; + -- e[31] |= 40; + isValidPtr :: Ptr Word8 -> IO Bool + isValidPtr _ = do + -- b0 <- peekElemOff inp 0 + -- b31 <- peekElemOff inp 31 + return True {- return $ and [ testBit b0 0 == False , testBit b0 1 == False @@ -88,29 +98,33 @@ -- | Create a DhSecret from a bytearray object dhSecret :: ByteArrayAccess b => b -> CryptoFailable DhSecret dhSecret bs - | B.length bs == 32 = CryptoPassed $ DhSecret $ B.copyAndFreeze bs (\_ -> return ()) - | otherwise = CryptoFailed CryptoError_SharedSecretSizeInvalid + | B.length bs == 32 = + CryptoPassed $ DhSecret $ B.copyAndFreeze bs (\_ -> return ()) + | otherwise = CryptoFailed CryptoError_SharedSecretSizeInvalid -- | Compute the Diffie Hellman secret from a public key and a secret key. -- -- This implementation may return an all-zero value as it does not check for -- the condition. dh :: PublicKey -> SecretKey -> DhSecret -dh (PublicKey pub) (SecretKey sec) = DhSecret <$> - B.allocAndFreeze 32 $ \result -> - withByteArray sec $ \psec -> - withByteArray pub $ \ppub -> - ccrypton_curve25519 result psec ppub +dh (PublicKey pub) (SecretKey sec) = DhSecret + <$> B.allocAndFreeze 32 + $ \result -> + withByteArray sec $ \psec -> + withByteArray pub $ \ppub -> + ccrypton_x25519 result psec ppub {-# NOINLINE dh #-} -- | Create a public key from a secret key +-- The base point does not go in: where the assembly is built there is a table +-- for this, and it is four to five times less work than multiplying the point +-- 9 the general way. toPublic :: SecretKey -> PublicKey -toPublic (SecretKey sec) = PublicKey <$> - B.allocAndFreeze 32 $ \result -> - withByteArray sec $ \psec -> - ccrypton_curve25519 result psec basePoint - where - basePoint = Ptr "\x09\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"# +toPublic (SecretKey sec) = PublicKey + <$> B.allocAndFreeze 32 + $ \result -> + withByteArray sec $ \psec -> + ccrypton_x25519_base result psec {-# NOINLINE toPublic #-} -- | Generate a secret key. @@ -125,8 +139,20 @@ modifyByte :: Ptr Word8 -> Int -> (Word8 -> Word8) -> IO () modifyByte p n f = peekByteOff p n >>= pokeByteOff p n . f -foreign import ccall "crypton_curve25519_donna" - ccrypton_curve25519 :: Ptr Word8 -- ^ public - -> Ptr Word8 -- ^ secret - -> Ptr Word8 -- ^ basepoint - -> IO () +foreign import ccall "crypton_x25519" + ccrypton_x25519 + :: Ptr Word8 + -- ^ public + -> Ptr Word8 + -- ^ secret + -> Ptr Word8 + -- ^ basepoint + -> IO () + +foreign import ccall "crypton_x25519_base" + ccrypton_x25519_base + :: Ptr Word8 + -- ^ public + -> Ptr Word8 + -- ^ secret + -> IO () diff --git a/Crypto/PubKey/Curve448.hs b/Crypto/PubKey/Curve448.hs --- a/Crypto/PubKey/Curve448.hs +++ b/Crypto/PubKey/Curve448.hs @@ -1,3 +1,5 @@ +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + -- | -- Module : Crypto.PubKey.Curve448 -- License : BSD-style @@ -10,50 +12,60 @@ -- Internally uses Decaf point compression to omit the cofactor -- and implementation by Mike Hamburg. Externally API and -- data types are compatible with the encoding specified in RFC 7748. --- -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -module Crypto.PubKey.Curve448 - ( SecretKey - , PublicKey - , DhSecret +module Crypto.PubKey.Curve448 ( + SecretKey, + PublicKey, + DhSecret, + -- * Smart constructors - , dhSecret - , publicKey - , secretKey + dhSecret, + publicKey, + secretKey, + -- * Methods - , dh - , toPublic - , generateSecretKey - ) where + dh, + toPublic, + generateSecretKey, +) where -import Data.Word -import Foreign.Ptr +import Crypto.Debug (DebugShow (..), debugShowBytes) +import Data.Word +import Foreign.Ptr -import Crypto.Error -import Crypto.Random -import Crypto.Internal.Compat -import Crypto.Internal.Imports -import Crypto.Internal.ByteArray (ByteArrayAccess, ScrubbedBytes, Bytes, withByteArray) +import Crypto.Error +import Crypto.Internal.ByteArray ( + ByteArrayAccess, + Bytes, + ScrubbedBytes, + withByteArray, + ) import qualified Crypto.Internal.ByteArray as B +import Crypto.Internal.Compat +import Crypto.Internal.Imports +import Crypto.Random -- | A Curve448 Secret key newtype SecretKey = SecretKey ScrubbedBytes - deriving (Show,Eq,ByteArrayAccess,NFData) + deriving (Show, Eq, ByteArrayAccess, NFData) +instance DebugShow SecretKey where + debugShow = debugShowBytes "SecretKey" + -- | A Curve448 public key newtype PublicKey = PublicKey Bytes - deriving (Show,Eq,ByteArrayAccess,NFData) + deriving (Show, Eq, ByteArrayAccess, NFData) -- | A Curve448 Diffie Hellman secret related to a -- public key and a secret key. newtype DhSecret = DhSecret ScrubbedBytes - deriving (Show,Eq,ByteArrayAccess,NFData) + deriving (Show, Eq, ByteArrayAccess, NFData) -- | Try to build a public key from a bytearray publicKey :: ByteArrayAccess bs => bs -> CryptoFailable PublicKey publicKey bs - | B.length bs == x448_bytes = CryptoPassed $ PublicKey $ B.copyAndFreeze bs (\_ -> return ()) - | otherwise = CryptoFailed CryptoError_PublicKeySizeInvalid + | B.length bs == x448_bytes = + CryptoPassed $ PublicKey $ B.copyAndFreeze bs (\_ -> return ()) + | otherwise = CryptoFailed CryptoError_PublicKeySizeInvalid -- | Try to build a secret key from a bytearray secretKey :: ByteArrayAccess bs => bs -> CryptoFailable SecretKey @@ -66,35 +78,38 @@ else return $ CryptoFailed CryptoError_SecretKeyStructureInvalid | otherwise = CryptoFailed CryptoError_SecretKeySizeInvalid where - isValidPtr :: Ptr Word8 -> IO Bool - isValidPtr _ = - return True + isValidPtr :: Ptr Word8 -> IO Bool + isValidPtr _ = + return True {-# NOINLINE secretKey #-} -- | Create a DhSecret from a bytearray object dhSecret :: ByteArrayAccess b => b -> CryptoFailable DhSecret dhSecret bs - | B.length bs == x448_bytes = CryptoPassed $ DhSecret $ B.copyAndFreeze bs (\_ -> return ()) - | otherwise = CryptoFailed CryptoError_SharedSecretSizeInvalid + | B.length bs == x448_bytes = + CryptoPassed $ DhSecret $ B.copyAndFreeze bs (\_ -> return ()) + | otherwise = CryptoFailed CryptoError_SharedSecretSizeInvalid -- | Compute the Diffie Hellman secret from a public key and a secret key. -- -- This implementation may return an all-zero value as it does not check for -- the condition. dh :: PublicKey -> SecretKey -> DhSecret -dh (PublicKey pub) (SecretKey sec) = DhSecret <$> - B.allocAndFreeze x448_bytes $ \result -> - withByteArray sec $ \psec -> - withByteArray pub $ \ppub -> - decaf_x448 result ppub psec +dh (PublicKey pub) (SecretKey sec) = DhSecret + <$> B.allocAndFreeze x448_bytes + $ \result -> + withByteArray sec $ \psec -> + withByteArray pub $ \ppub -> + decaf_x448 result ppub psec {-# NOINLINE dh #-} -- | Create a public key from a secret key toPublic :: SecretKey -> PublicKey -toPublic (SecretKey sec) = PublicKey <$> - B.allocAndFreeze x448_bytes $ \result -> - withByteArray sec $ \psec -> - decaf_x448_derive_public_key result psec +toPublic (SecretKey sec) = PublicKey + <$> B.allocAndFreeze x448_bytes + $ \result -> + withByteArray sec $ \psec -> + decaf_x448_derive_public_key result psec {-# NOINLINE toPublic #-} -- | Generate a secret key. @@ -105,12 +120,19 @@ x448_bytes = 448 `quot` 8 foreign import ccall "crypton_decaf_x448" - decaf_x448 :: Ptr Word8 -- ^ public - -> Ptr Word8 -- ^ basepoint - -> Ptr Word8 -- ^ secret - -> IO () + decaf_x448 + :: Ptr Word8 + -- ^ public + -> Ptr Word8 + -- ^ basepoint + -> Ptr Word8 + -- ^ secret + -> IO () foreign import ccall "crypton_decaf_x448_derive_public_key" - decaf_x448_derive_public_key :: Ptr Word8 -- ^ public - -> Ptr Word8 -- ^ secret - -> IO () + decaf_x448_derive_public_key + :: Ptr Word8 + -- ^ public + -> Ptr Word8 + -- ^ secret + -> IO () diff --git a/Crypto/PubKey/DH.hs b/Crypto/PubKey/DH.hs --- a/Crypto/PubKey/DH.hs +++ b/Crypto/PubKey/DH.hs @@ -1,28 +1,36 @@ +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + -- | -- Module : Crypto.PubKey.DH -- License : BSD-style -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good --- -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -module Crypto.PubKey.DH - ( Params(..) - , PublicNumber(..) - , PrivateNumber(..) - , SharedKey(..) - , generateParams - , generatePrivate - , calculatePublic - , generatePublic - , getShared - ) where +module Crypto.PubKey.DH ( + Params (..), + PublicNumber (..), + PrivateNumber (..), + SharedKey (..), + generateParams, + generatePrivate, + calculatePublic, + generatePublic, + getShared, + tryGetShared, +) where +import Crypto.Debug (DebugShow (..)) +import Crypto.Error ( + CryptoError (..), + CryptoFailable (..), + throwCryptoError, + ) import Crypto.Internal.Imports +import Crypto.Number.Basic (numBytes) +import Crypto.Number.Generate (generateMax) import Crypto.Number.ModArithmetic (expSafe) import Crypto.Number.Prime (generateSafePrime) -import Crypto.Number.Generate (generateMax) import Crypto.Number.Serialize (i2ospOf_) import Crypto.Random.Types import Data.ByteArray (ByteArrayAccess, ScrubbedBytes) @@ -33,29 +41,41 @@ { params_p :: Integer , params_g :: Integer , params_bits :: Int - } deriving (Show,Read,Eq,Data) + } + deriving (Show, Read, Eq, Data) instance NFData Params where rnf (Params p g bits) = rnf p `seq` rnf g `seq` bits `seq` () -- | Represent Diffie Hellman public number Y. newtype PublicNumber = PublicNumber Integer - deriving (Show,Read,Eq,Enum,Real,Num,Ord,NFData) + deriving (Show, Read, Eq, Enum, Real, Num, Ord, NFData) -- | Represent Diffie Hellman private number X. newtype PrivateNumber = PrivateNumber Integer - deriving (Show,Read,Eq,Enum,Real,Num,Ord,NFData) + deriving (Read, Eq, Enum, Real, Num, Ord, NFData) +-- | The number is not shown. Use 'Crypto.Debug.debugShow' to see it. +instance Show PrivateNumber where + show _ = "PrivateNumber " + +instance DebugShow PrivateNumber where + debugShow (PrivateNumber n) = + showString "PrivateNumber " . showsPrec 11 n $ "" + -- | Represent Diffie Hellman shared secret. newtype SharedKey = SharedKey ScrubbedBytes - deriving (Show,Eq,ByteArrayAccess,NFData) + deriving (Show, Eq, ByteArrayAccess, NFData) -- | generate params from a specific generator (2 or 5 are common values) -- we generate a safe prime (a prime number of the form 2p+1 where p is also prime) -generateParams :: MonadRandom m => - Int -- ^ number of bits - -> Integer -- ^ generator - -> m Params +generateParams + :: MonadRandom m + => Int + -- ^ number of bits + -> Integer + -- ^ generator + -> m Params generateParams bits generator = (\p -> Params p generator bits) <$> generateSafePrime bits @@ -75,8 +95,33 @@ -- DEPRECATED use calculatePublic generatePublic :: Params -> PrivateNumber -> PublicNumber generatePublic = calculatePublic + -- commented until 0.3 {-# DEPRECATED generatePublic "use calculatePublic" #-} -- | generate a shared key using our private number and the other party public number +-- +-- This raises the 'CryptoError' that 'tryGetShared' reports. Use 'tryGetShared' +-- where the failure has to be handled. getShared :: Params -> PrivateNumber -> PublicNumber -> SharedKey -getShared (Params p _ bits) (PrivateNumber x) (PublicNumber y) = SharedKey $ i2ospOf_ ((bits + 7) `div` 8) $ expSafe y x p +getShared params x y = throwCryptoError $ tryGetShared params x y + +-- | generate a shared key using our private number and the other party public +-- number, reporting a rejected public number instead of raising. +-- +-- The public number comes from the other party, so it is checked to satisfy +-- @1 < y < p-1@ as RFC 7919 section 5.1 requires. The excluded values +-- generate the subgroup @{1}@ or @{1, p-1}@, so the shared secret they produce +-- is one of a handful of constants and carries none of our private number's +-- secrecy. A value outside that range is reported as +-- 'CryptoError_ParameterInvalid'. +-- +-- Note this is the only check made here: it does not establish that @y@ lies +-- in the subgroup generated by @g@, which needs the subgroup order that +-- t'Params' does not carry. +tryGetShared + :: Params -> PrivateNumber -> PublicNumber -> CryptoFailable SharedKey +tryGetShared (Params p _ _) (PrivateNumber x) (PublicNumber y) + | y <= 1 || y >= p - 1 = CryptoFailed CryptoError_ParameterInvalid + -- the size of p, not params_bits: only p and g travel on the wire, so a + -- caller-supplied bit size can disagree with p + | otherwise = CryptoPassed $ SharedKey $ i2ospOf_ (numBytes p) $ expSafe y x p diff --git a/Crypto/PubKey/DSA.hs b/Crypto/PubKey/DSA.hs --- a/Crypto/PubKey/DSA.hs +++ b/Crypto/PubKey/DSA.hs @@ -1,3 +1,5 @@ +{-# LANGUAGE DeriveDataTypeable #-} + -- | -- Module : Crypto.PubKey.DSA -- License : BSD-style @@ -6,37 +8,57 @@ -- Portability : Good -- -- An implementation of the Digital Signature Algorithm (DSA) -{-# LANGUAGE DeriveDataTypeable #-} -module Crypto.PubKey.DSA - ( Params(..) - , Signature(..) - , PublicKey(..) - , PrivateKey(..) - , PublicNumber - , PrivateNumber +-- +-- == What is kept from the clock, and what is not +-- +-- Signing keeps the private number and the ephemeral @k@ out of the two +-- places whose duration would otherwise follow them: the exponentiation is +-- 'Crypto.Number.ModArithmetic.expSafe', which walks the exponent a fixed +-- four bits at a time, and @k@ is inverted by Fermat's little theorem rather +-- than by the extended Euclidean algorithm, whose number of steps follows the +-- bits it is given. +-- +-- What is left is the arithmetic around them. @x * r@, the addition and the +-- reduction modulo @q@ are 'Integer' operations, and an 'Integer' costs what +-- its size says: a private number that happens to be short is multiplied in +-- fewer words than a full-length one. The same holds in +-- "Crypto.PubKey.ElGamal" and "Crypto.PubKey.Rabin.Basic". Removing it means +-- leaving 'Integer' for a fixed-width representation, which is what +-- "Crypto.PubKey.RSA" does for its exponentiation and the curve modules do +-- throughout; there is nothing a caller can do about it from here. +module Crypto.PubKey.DSA ( + Params (..), + Signature (..), + PublicKey (..), + PrivateKey (..), + PublicNumber, + PrivateNumber, + -- * Generation - , generatePrivate - , calculatePublic + generatePrivate, + calculatePublic, + -- * Signature primitive - , sign - , signWith + sign, + signWith, + -- * Verification primitive - , verify - -- * Key pair - , KeyPair(..) - , toPublicKey - , toPrivateKey - ) where + verify, + -- * Key pair + KeyPair (..), + toPublicKey, + toPrivateKey, +) where +import Crypto.Debug (DebugShow (..)) import Data.Data -import Data.Maybe -import Crypto.Number.ModArithmetic (expFast, expSafe, inverse) -import Crypto.Number.Generate +import Crypto.Hash import Crypto.Internal.ByteArray (ByteArrayAccess) import Crypto.Internal.Imports -import Crypto.Hash +import Crypto.Number.Generate +import Crypto.Number.ModArithmetic (expFast, expSafe, inverse, inverseSafe) import Crypto.PubKey.Internal (dsaTruncHash) import Crypto.Random.Types @@ -48,28 +70,38 @@ -- | Represent DSA parameters namely P, G, and Q. data Params = Params - { params_p :: Integer -- ^ DSA p - , params_g :: Integer -- ^ DSA g - , params_q :: Integer -- ^ DSA q - } deriving (Show,Read,Eq,Data) + { params_p :: Integer + -- ^ DSA p + , params_g :: Integer + -- ^ DSA g + , params_q :: Integer + -- ^ DSA q + } + deriving (Show, Read, Eq, Data) instance NFData Params where rnf (Params p g q) = p `seq` g `seq` q `seq` () -- | Represent a DSA signature namely R and S. data Signature = Signature - { sign_r :: Integer -- ^ DSA r - , sign_s :: Integer -- ^ DSA s - } deriving (Show,Read,Eq,Data) + { sign_r :: Integer + -- ^ DSA r + , sign_s :: Integer + -- ^ DSA s + } + deriving (Show, Read, Eq, Data) instance NFData Signature where rnf (Signature r s) = r `seq` s `seq` () -- | Represent a DSA public key. data PublicKey = PublicKey - { public_params :: Params -- ^ DSA parameters - , public_y :: PublicNumber -- ^ DSA public Y - } deriving (Show,Read,Eq,Data) + { public_params :: Params + -- ^ DSA parameters + , public_y :: PublicNumber + -- ^ DSA public Y + } + deriving (Show, Read, Eq, Data) instance NFData PublicKey where rnf (PublicKey params y) = y `seq` params `seq` () @@ -79,17 +111,57 @@ -- Only x need to be secret. -- the DSA parameters are publicly shared with the other side. data PrivateKey = PrivateKey - { private_params :: Params -- ^ DSA parameters - , private_x :: PrivateNumber -- ^ DSA private X - } deriving (Show,Read,Eq,Data) + { private_params :: Params + -- ^ DSA parameters + , private_x :: PrivateNumber + -- ^ DSA private X + } + deriving (Read, Eq, Data) +-- | The parameters are shown; @private_x@ is not. Use +-- 'Crypto.Debug.debugShow' to see it. +instance Show PrivateKey where + showsPrec d k = + showParen (d > 10) $ + showString "PrivateKey {private_params = " + . shows (private_params k) + . showString ", private_x = }" + +instance DebugShow PrivateKey where + debugShow k = + showString "PrivateKey {private_params = " + . shows (private_params k) + . showString ", private_x = " + . shows (private_x k) + . showChar '}' + $ "" + instance NFData PrivateKey where rnf (PrivateKey params x) = x `seq` params `seq` () -- | Represent a DSA key pair data KeyPair = KeyPair Params PublicNumber PrivateNumber - deriving (Show,Read,Eq,Data) + deriving (Read, Eq, Data) +instance Show KeyPair where + showsPrec d (KeyPair params y _) = + showParen (d > 10) $ + showString "KeyPair " + . showsPrec 11 params + . showChar ' ' + . showsPrec 11 y + . showString " " + +instance DebugShow KeyPair where + debugShow (KeyPair params y x) = + showString "KeyPair " + . showsPrec 11 params + . showChar ' ' + . showsPrec 11 y + . showChar ' ' + . showsPrec 11 x + $ "" + instance NFData KeyPair where rnf (KeyPair params y x) = x `seq` y `seq` params `seq` () @@ -111,44 +183,61 @@ calculatePublic (Params p g _) x = expSafe g x p -- | sign message using the private key and an explicit k number. -signWith :: (ByteArrayAccess msg, HashAlgorithm hash) - => Integer -- ^ k random number - -> PrivateKey -- ^ private key - -> hash -- ^ hash function - -> msg -- ^ message to sign - -> Maybe Signature -signWith k pk hashAlg msg - | r == 0 || s == 0 = Nothing - | otherwise = Just $ Signature r s - where -- parameters - (Params p g q) = private_params pk - x = private_x pk - -- compute r,s - kInv = fromJust $ inverse k q - hm = dsaTruncHash hashAlg msg q - r = expSafe g k p `mod` q - s = (kInv * (hm + x * r)) `mod` q +signWith + :: (ByteArrayAccess msg, HashAlgorithm hash) + => Integer + -- ^ k random number + -> PrivateKey + -- ^ private key + -> hash + -- ^ hash function + -> msg + -- ^ message to sign + -> Maybe Signature +signWith k pk hashAlg msg = do + -- k comes from the caller and is only invertible when it is coprime with + -- q, which the caller cannot check without knowing q is prime. It is also + -- a secret worth as much as the private key, so it is inverted without + -- the extended Euclidean algorithm, whose steps follow the bits of what + -- it is given + kInv <- inverseSafe k q + let hm = dsaTruncHash hashAlg msg q + r = expSafe g k p `mod` q + s = (kInv * (hm + x * r)) `mod` q + if r == 0 || s == 0 then Nothing else Just $ Signature r s + where + -- parameters + (Params p g q) = private_params pk + x = private_x pk -- | sign message using the private key. -sign :: (ByteArrayAccess msg, HashAlgorithm hash, MonadRandom m) => PrivateKey -> hash -> msg -> m Signature +sign + :: (ByteArrayAccess msg, HashAlgorithm hash, MonadRandom m) + => PrivateKey -> hash -> msg -> m Signature sign pk hashAlg msg = do k <- generateMax q case signWith k pk hashAlg msg of - Nothing -> sign pk hashAlg msg + Nothing -> sign pk hashAlg msg Just sig -> return sig where (Params _ _ q) = private_params pk -- | verify a bytestring using the public key. -verify :: (ByteArrayAccess msg, HashAlgorithm hash) => hash -> PublicKey -> Signature -> msg -> Bool +verify + :: (ByteArrayAccess msg, HashAlgorithm hash) + => hash -> PublicKey -> Signature -> msg -> Bool verify hashAlg pk (Signature r s) m -- Reject the signature if either 0 < r < q or 0 < s < q is not satisfied. | r <= 0 || r >= q || s <= 0 || s >= q = False - | otherwise = v == r - where (Params p g q) = public_params pk - y = public_y pk - hm = dsaTruncHash hashAlg m q - w = fromJust $ inverse s q - u1 = (hm*w) `mod` q - u2 = (r*w) `mod` q - v = ((expFast g u1 p) * (expFast y u2 p)) `mod` p `mod` q + -- s is invertible for every 0 < s < q when q is prime, but the parameters + -- arrive with the public key and a composite q admits an s that is not + | otherwise = maybe False (r ==) v + where + (Params p g q) = public_params pk + y = public_y pk + hm = dsaTruncHash hashAlg m q + v = do + w <- inverse s q + let u1 = (hm * w) `mod` q + u2 = (r * w) `mod` q + return $ ((expFast g u1 p) * (expFast y u2 p)) `mod` p `mod` q diff --git a/Crypto/PubKey/ECC/DH.hs b/Crypto/PubKey/ECC/DH.hs --- a/Crypto/PubKey/ECC/DH.hs +++ b/Crypto/PubKey/ECC/DH.hs @@ -6,25 +6,37 @@ -- Portability : unknown -- -- Elliptic curve Diffie Hellman --- -module Crypto.PubKey.ECC.DH - ( - Curve - , PublicPoint - , PrivateNumber - , SharedKey(..) - , generatePrivate - , calculatePublic - , getShared - ) where +module Crypto.PubKey.ECC.DH ( + Curve, + PublicPoint, + PrivateNumber, + SharedKey (..), + generatePrivate, + calculatePublic, + getShared, + tryGetShared, +) where +import Crypto.Error ( + CryptoError (..), + CryptoFailable (..), + throwCryptoError, + ) import Crypto.Number.Generate (generateMax) import Crypto.Number.Serialize (i2ospOf_) -import Crypto.PubKey.ECC.Prim (pointMul) +import Crypto.PubKey.DH (SharedKey (..)) +import Crypto.PubKey.ECC.Prim (isPointInSubgroup, isPointValid, pointMul) +import Crypto.PubKey.ECC.Types ( + Curve, + Point (..), + PrivateNumber, + PublicPoint, + common_curve, + curveSizeBits, + ecc_g, + ecc_n, + ) import Crypto.Random.Types -import Crypto.PubKey.DH (SharedKey(..)) -import Crypto.PubKey.ECC.Types (PublicPoint, PrivateNumber, Curve, Point(..), curveSizeBits) -import Crypto.PubKey.ECC.Types (ecc_n, ecc_g, common_curve) -- | Generating a private number d. generatePrivate :: MonadRandom m => Curve -> m PrivateNumber @@ -41,8 +53,37 @@ -- | Generating a shared key using our private number and -- the other party public point. +-- +-- This raises the 'Crypto.Error.CryptoError' that 'tryGetShared' reports. Use +-- 'tryGetShared' where the failure has to be handled. getShared :: Curve -> PrivateNumber -> PublicPoint -> SharedKey -getShared curve db qa = SharedKey $ i2ospOf_ ((nbBits + 7) `div` 8) x +getShared curve db qa = throwCryptoError $ tryGetShared curve db qa + +-- | Generating a shared key using our private number and the other party +-- public point, reporting a rejected point instead of raising. +-- +-- The public point comes from the other party, so it is checked before it is +-- multiplied. A point that does not satisfy the curve equation is reported as +-- 'CryptoError_PointCoordinatesInvalid'. +-- +-- Satisfying the equation is not by itself membership of the subgroup the base +-- point generates; the two coincide only when the cofactor is 1. On a curve +-- whose cofactor is above 1 the other party can offer a point of small order, +-- and the value that comes back then depends on our private number only +-- through its residue modulo that order, which hands them those bits. So the +-- point is also required to be in the subgroup, by 'isPointInSubgroup', and is +-- reported as 'CryptoError_PointSubgroupInvalid' when it is not. That check +-- costs one further scalar multiplication, and is skipped where the cofactor +-- is 1 and it cannot fail. +-- +-- An exchange that yields the point at infinity, and so has no x coordinate to +-- derive the key from, is reported as 'CryptoError_ScalarMultiplicationInvalid'. +tryGetShared :: Curve -> PrivateNumber -> PublicPoint -> CryptoFailable SharedKey +tryGetShared curve db qa + | not (isPointValid curve qa) = CryptoFailed CryptoError_PointCoordinatesInvalid + | not (isPointInSubgroup curve qa) = CryptoFailed CryptoError_PointSubgroupInvalid + | otherwise = case pointMul curve db qa of + Point x _ -> CryptoPassed $ SharedKey $ i2ospOf_ ((nbBits + 7) `div` 8) x + PointO -> CryptoFailed CryptoError_ScalarMultiplicationInvalid where - Point x _ = pointMul curve db qa - nbBits = curveSizeBits curve + nbBits = curveSizeBits curve diff --git a/Crypto/PubKey/ECC/ECDSA.hs b/Crypto/PubKey/ECC/ECDSA.hs --- a/Crypto/PubKey/ECC/ECDSA.hs +++ b/Crypto/PubKey/ECC/ECDSA.hs @@ -1,57 +1,126 @@ --- | /WARNING:/ Signature operations may leak the private key. Signature verification --- should be safe. {-# LANGUAGE DeriveDataTypeable #-} -module Crypto.PubKey.ECC.ECDSA - ( Signature(..) - , PublicPoint - , PublicKey(..) - , PrivateNumber - , PrivateKey(..) - , KeyPair(..) - , toPublicKey - , toPrivateKey - , signWith - , signDigestWith - , sign - , signDigest - , verify - , verifyDigest - ) where +-- | /WARNING:/ Signature operations may leak the private key. The nonce is +-- inverted without a side channel on every curve, and on P-256 the scalar +-- multiplication is the constant-time C implementation, but what surrounds +-- them is 'Integer' arithmetic, whose cost follows the values it is given, and +-- on every other curve the multiplication follows the nonce as well. +-- Signature verification takes only public values and should be safe. +module Crypto.PubKey.ECC.ECDSA ( + Signature (..), + ExtendedSignature (..), + PublicPoint, + PublicKey (..), + PrivateNumber, + PrivateKey (..), + KeyPair (..), + toPublicKey, + toPrivateKey, + signWith, + signDigestWith, + signExtendedDigestWith, + sign, + signDigest, + signExtendedDigest, + verify, + verifyDigest, + recover, + recoverDigest, + deterministicNonce, +) where + +import Crypto.Debug (DebugShow (..)) import Control.Monad +import Data.Bits +import Data.ByteArray (ByteArrayAccess, ScrubbedBytes) import Data.Data import Crypto.Hash -import Crypto.Internal.ByteArray (ByteArrayAccess) -import Crypto.Number.ModArithmetic (inverse) +import Crypto.Number.Basic import Crypto.Number.Generate -import Crypto.PubKey.ECC.Types +import Crypto.Number.ModArithmetic (inverse) +import Crypto.Number.Serialize import Crypto.PubKey.ECC.Prim +import Crypto.PubKey.ECC.Types import Crypto.PubKey.Internal (dsaTruncHashDigest) +import Crypto.Random.HmacDRG import Crypto.Random.Types -- | Represent a ECDSA signature namely R and S. data Signature = Signature - { sign_r :: Integer -- ^ ECDSA r - , sign_s :: Integer -- ^ ECDSA s - } deriving (Show,Read,Eq,Data) + { sign_r :: Integer + -- ^ ECDSA r + , sign_s :: Integer + -- ^ ECDSA s + } + deriving (Show, Read, Eq, Data) +-- | ECDSA signature with public key recovery information. +data ExtendedSignature = ExtendedSignature + { index :: Integer + -- ^ Index of the X coordinate + , parity :: Bool + -- ^ Parity of the Y coordinate + , signature :: Signature + -- ^ Inner signature + } + deriving (Show, Read, Eq, Data) + -- | ECDSA Private Key. data PrivateKey = PrivateKey { private_curve :: Curve - , private_d :: PrivateNumber - } deriving (Show,Read,Eq,Data) + , private_d :: PrivateNumber + } + deriving (Read, Eq, Data) +-- | The curve is shown; @private_d@ is not. Use +-- 'Crypto.Debug.debugShow' to see it. +instance Show PrivateKey where + showsPrec d k = + showParen (d > 10) $ + showString "PrivateKey {private_curve = " + . shows (private_curve k) + . showString ", private_d = }" + +instance DebugShow PrivateKey where + debugShow k = + showString "PrivateKey {private_curve = " + . shows (private_curve k) + . showString ", private_d = " + . shows (private_d k) + . showChar '}' + $ "" + -- | ECDSA Public Key. data PublicKey = PublicKey { public_curve :: Curve - , public_q :: PublicPoint - } deriving (Show,Read,Eq,Data) + , public_q :: PublicPoint + } + deriving (Show, Read, Eq, Data) -- | ECDSA Key Pair. data KeyPair = KeyPair Curve PublicPoint PrivateNumber - deriving (Show,Read,Eq,Data) + deriving (Read, Eq, Data) +instance Show KeyPair where + showsPrec d (KeyPair c q _) = + showParen (d > 10) $ + showString "KeyPair " + . showsPrec 11 c + . showChar ' ' + . showsPrec 11 q + . showString " " + +instance DebugShow KeyPair where + debugShow (KeyPair c q x) = + showString "KeyPair " + . showsPrec 11 c + . showChar ' ' + . showsPrec 11 q + . showChar ' ' + . showsPrec 11 x + $ "" + -- | Public key of a ECDSA Key pair. toPublicKey :: KeyPair -> PublicKey toPublicKey (KeyPair curve pub _) = PublicKey curve pub @@ -63,71 +132,146 @@ -- | Sign digest using the private key and an explicit k number. -- -- /WARNING:/ Vulnerable to timing attacks. -signDigestWith :: HashAlgorithm hash - => Integer -- ^ k random number - -> PrivateKey -- ^ private key - -> Digest hash -- ^ digest to sign - -> Maybe Signature -signDigestWith k (PrivateKey curve d) digest = do +signExtendedDigestWith + :: HashAlgorithm hash + => Integer + -- ^ k random number + -> PrivateKey + -- ^ private key + -> Digest hash + -- ^ digest to sign + -> Maybe ExtendedSignature +signExtendedDigestWith k (PrivateKey curve d) digest = do let z = dsaTruncHashDigest digest n CurveCommon _ _ g n _ = common_curve curve - let point = pointMul curve k g - r <- case point of - PointO -> Nothing - Point x _ -> return $ x `mod` n - kInv <- inverse k n - let s = kInv * (z + r * d) `mod` n + (i, r, p) <- pointDecompose curve $ pointMul curve k g + kInv <- scalarInverse curve k + -- kInv and d are secret, so the arithmetic that mixes them goes through + -- the curve's own, which on P-256 is the C implementation's + let s = scalarMul curve kInv (scalarAdd curve z (scalarMul curve r d)) when (r == 0 || s == 0) Nothing - return $ Signature r s + return $ + if s <= n `unsafeShiftR` 1 + then ExtendedSignature i p $ Signature r s + else ExtendedSignature i (not p) $ Signature r (n - s) +-- | Sign digest using the private key and an explicit k number. +-- +-- /WARNING:/ Vulnerable to timing attacks. +signDigestWith + :: HashAlgorithm hash + => Integer + -- ^ k random number + -> PrivateKey + -- ^ private key + -> Digest hash + -- ^ digest to sign + -> Maybe Signature +signDigestWith k pk digest = signature <$> signExtendedDigestWith k pk digest + -- | Sign message using the private key and an explicit k number. -- -- /WARNING:/ Vulnerable to timing attacks. -signWith :: (ByteArrayAccess msg, HashAlgorithm hash) - => Integer -- ^ k random number - -> PrivateKey -- ^ private key - -> hash -- ^ hash function - -> msg -- ^ message to sign - -> Maybe Signature +signWith + :: (ByteArrayAccess msg, HashAlgorithm hash) + => Integer + -- ^ k random number + -> PrivateKey + -- ^ private key + -> hash + -- ^ hash function + -> msg + -- ^ message to sign + -> Maybe Signature signWith k pk hashAlg msg = signDigestWith k pk (hashWith hashAlg msg) -- | Sign digest using the private key. -- -- /WARNING:/ Vulnerable to timing attacks. -signDigest :: (HashAlgorithm hash, MonadRandom m) - => PrivateKey -> Digest hash -> m Signature -signDigest pk digest = do +signExtendedDigest + :: (HashAlgorithm hash, MonadRandom m) + => PrivateKey -> Digest hash -> m ExtendedSignature +signExtendedDigest pk digest = do k <- generateBetween 1 (n - 1) - case signDigestWith k pk digest of - Nothing -> signDigest pk digest - Just sig -> return sig - where n = ecc_n . common_curve $ private_curve pk + case signExtendedDigestWith k pk digest of + Nothing -> signExtendedDigest pk digest + Just sig -> return sig + where + n = ecc_n . common_curve $ private_curve pk +-- | Sign digest using the private key. +-- +-- /WARNING:/ Vulnerable to timing attacks. +signDigest + :: (HashAlgorithm hash, MonadRandom m) + => PrivateKey -> Digest hash -> m Signature +signDigest pk digest = signature <$> signExtendedDigest pk digest + -- | Sign message using the private key. -- -- /WARNING:/ Vulnerable to timing attacks. -sign :: (ByteArrayAccess msg, HashAlgorithm hash, MonadRandom m) - => PrivateKey -> hash -> msg -> m Signature +sign + :: (ByteArrayAccess msg, HashAlgorithm hash, MonadRandom m) + => PrivateKey -> hash -> msg -> m Signature sign pk hashAlg msg = signDigest pk (hashWith hashAlg msg) -- | Verify a digest using the public key. -verifyDigest :: HashAlgorithm hash => PublicKey -> Signature -> Digest hash -> Bool +verifyDigest + :: HashAlgorithm hash => PublicKey -> Signature -> Digest hash -> Bool verifyDigest (PublicKey _ PointO) _ _ = False verifyDigest pk@(PublicKey curve q) (Signature r s) digest | r < 1 || r >= n || s < 1 || s >= n = False | otherwise = maybe False (r ==) $ do w <- inverse s n - let z = dsaTruncHashDigest digest n + let z = dsaTruncHashDigest digest n u1 = z * w `mod` n u2 = r * w `mod` n - x = pointAddTwoMuls curve u1 g u2 q + x = pointAddTwoMuls curve u1 g u2 q case x of - PointO -> Nothing - Point x1 _ -> return $ x1 `mod` n - where n = ecc_n cc - g = ecc_g cc - cc = common_curve $ public_curve pk + PointO -> Nothing + Point x1 _ -> return $ x1 `mod` n + where + n = ecc_n cc + g = ecc_g cc + cc = common_curve $ public_curve pk -- | Verify a bytestring using the public key. -verify :: (ByteArrayAccess msg, HashAlgorithm hash) => hash -> PublicKey -> Signature -> msg -> Bool +verify + :: (ByteArrayAccess msg, HashAlgorithm hash) + => hash -> PublicKey -> Signature -> msg -> Bool verify hashAlg pk sig msg = verifyDigest pk sig (hashWith hashAlg msg) + +-- | Recover the public key from an extended signature and a digest. +recoverDigest + :: HashAlgorithm hash + => Curve -> ExtendedSignature -> Digest hash -> Maybe PublicKey +recoverDigest curve (ExtendedSignature i p (Signature r s)) digest = do + let CurveCommon _ _ g n _ = common_curve curve + let z = dsaTruncHashDigest digest n + w <- inverse r n + c <- pointCompose curve i r p + pure $ PublicKey curve $ pointAddTwoMuls curve (s * w) c (negate $ z * w) g + +-- | Recover the public key from an extended signature and a message. +recover + :: (ByteArrayAccess msg, HashAlgorithm hash) + => hash -> Curve -> ExtendedSignature -> msg -> Maybe PublicKey +recover hashAlg curve sig msg = recoverDigest curve sig $ hashWith hashAlg msg + +-- | Deterministic nonce generation according to RFC 6979. +-- Allows using different hash algorithms for the HMAC-based DRG and the message digest. +deterministicNonce + :: (HashAlgorithm hashDRG, HashAlgorithm hashDigest) + => hashDRG -> PrivateKey -> Digest hashDigest -> (Integer -> Maybe a) -> a +deterministicNonce alg (PrivateKey curve key) digest go = fst $ withDRG state run + where + state = update seed $ initial alg + where + seed = i2ospOf_ bytes key <> i2ospOf_ bytes message :: ScrubbedBytes + message = dsaTruncHashDigest digest n `mod` n + run = do + k <- generatePrefix bits + if 0 < k && k < n then maybe run pure $ go k else run + bytes = (bits + 7) `unsafeShiftR` 3 + bits = numBits n + n = ecc_n $ common_curve curve diff --git a/Crypto/PubKey/ECC/Generate.hs b/Crypto/PubKey/ECC/Generate.hs --- a/Crypto/PubKey/ECC/Generate.hs +++ b/Crypto/PubKey/ECC/Generate.hs @@ -1,30 +1,34 @@ -- | Signature generation. module Crypto.PubKey.ECC.Generate where -import Crypto.Random.Types -import Crypto.PubKey.ECC.Types -import Crypto.PubKey.ECC.ECDSA import Crypto.Number.Generate +import Crypto.PubKey.ECC.ECDSA import Crypto.PubKey.ECC.Prim +import Crypto.PubKey.ECC.Types +import Crypto.Random.Types -- | Generate Q given d. -- -- /WARNING:/ Vulnerable to timing attacks. -generateQ :: Curve - -> Integer - -> Point +generateQ + :: Curve + -> Integer + -> Point generateQ curve d = pointMul curve d g - where g = ecc_g $ common_curve curve + where + g = ecc_g $ common_curve curve -- | Generate a pair of (private, public) key. -- -- /WARNING:/ Vulnerable to timing attacks. -generate :: MonadRandom m - => Curve -- ^ Elliptic Curve - -> m (PublicKey, PrivateKey) +generate + :: MonadRandom m + => Curve + -- ^ Elliptic Curve + -> m (PublicKey, PrivateKey) generate curve = do d <- generateBetween 1 (n - 1) let q = generateQ curve d return (PublicKey curve q, PrivateKey curve d) where - n = ecc_n $ common_curve curve + n = ecc_n $ common_curve curve diff --git a/Crypto/PubKey/ECC/P256.hs b/Crypto/PubKey/ECC/P256.hs --- a/Crypto/PubKey/ECC/P256.hs +++ b/Crypto/PubKey/ECC/P256.hs @@ -1,3 +1,7 @@ +{-# LANGUAGE EmptyDataDecls #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} +{-# OPTIONS_GHC -fno-warn-unused-binds #-} + -- | -- Module : Crypto.PubKey.ECC.P256 -- License : BSD-style @@ -6,67 +10,66 @@ -- Portability : unknown -- -- P256 support --- -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -{-# LANGUAGE EmptyDataDecls #-} -{-# OPTIONS_GHC -fno-warn-unused-binds #-} -module Crypto.PubKey.ECC.P256 - ( Scalar - , Point +module Crypto.PubKey.ECC.P256 ( + Scalar, + Point, + -- * Point arithmetic - , pointBase - , pointAdd - , pointNegate - , pointMul - , pointDh - , pointsMulVarTime - , pointIsValid - , pointIsAtInfinity - , toPoint - , pointX - , pointToIntegers - , pointFromIntegers - , pointToBinary - , pointFromBinary - , unsafePointFromBinary + pointBase, + pointAdd, + pointNegate, + pointMul, + pointDh, + pointsMulVarTime, + pointIsValid, + pointIsAtInfinity, + toPoint, + pointX, + pointToIntegers, + pointFromIntegers, + pointToBinary, + pointFromBinary, + unsafePointFromBinary, + -- * Scalar arithmetic - , scalarGenerate - , scalarZero - , scalarN - , scalarIsZero - , scalarAdd - , scalarSub - , scalarMul - , scalarInv - , scalarInvSafe - , scalarCmp - , scalarFromBinary - , scalarToBinary - , scalarFromInteger - , scalarToInteger - ) where + scalarGenerate, + scalarZero, + scalarN, + scalarIsZero, + scalarReduce, + scalarAdd, + scalarSub, + scalarMul, + scalarInv, + scalarInvSafe, + scalarCmp, + scalarFromBinary, + scalarToBinary, + scalarFromInteger, + scalarToInteger, +) where -import Data.Word -import Foreign.Ptr -import Foreign.C.Types +import Data.Word +import Foreign.C.Types +import Foreign.Ptr -import Crypto.Internal.Compat -import Crypto.Internal.Imports -import Crypto.Internal.ByteArray +import Crypto.Error +import Crypto.Internal.ByteArray import qualified Crypto.Internal.ByteArray as B -import Data.Memory.PtrMethods (memSet) -import Crypto.Error -import Crypto.Random -import Crypto.Number.Serialize.Internal (os2ip, i2ospOf) -import qualified Crypto.Number.Serialize as S (os2ip, i2ospOf) +import Crypto.Internal.Compat +import Crypto.Internal.Imports +import qualified Crypto.Number.Serialize as S (i2ospOf, os2ip) +import Crypto.Number.Serialize.Internal (i2ospOf, os2ip) +import Crypto.Random +import Data.Memory.PtrMethods (memSet) -- | A P256 scalar newtype Scalar = Scalar ScrubbedBytes - deriving (Show,Eq,ByteArrayAccess,NFData) + deriving (Show, Eq, ByteArrayAccess, NFData) -- | A P256 point newtype Point = Point Bytes - deriving (Show,Eq,NFData) + deriving (Show, Eq, NFData) scalarSize :: Int scalarSize = 32 @@ -74,7 +77,7 @@ pointSize :: Int pointSize = 64 -type P256Digit = Word32 +type P256Digit = Word32 data P256Scalar data P256Y @@ -91,7 +94,7 @@ pointBase :: Point pointBase = case scalarFromInteger 1 of - CryptoPassed s -> toPoint s + CryptoPassed s -> toPoint s CryptoFailed _ -> error "pointBase: assumption failed" -- | Lift to curve a scalar @@ -99,19 +102,21 @@ -- Using the curve generator as base point compute: -- -- > scalar * G --- toPoint :: Scalar -> Point toPoint s | scalarIsZero s = error "cannot create point from zero" - | otherwise = + | otherwise = withNewPoint $ \px py -> withScalar s $ \p -> ccrypton_p256_basepoint_mul p px py -- | Add a point to another point pointAdd :: Point -> Point -> Point -pointAdd a b = withNewPoint $ \dx dy -> - withPoint a $ \ax ay -> withPoint b $ \bx by -> - ccrypton_p256e_point_add ax ay bx by dx dy +pointAdd a b + | pointIsAtInfinity a = b + | pointIsAtInfinity b = a + | otherwise = withNewPoint $ \dx dy -> + withPoint a $ \ax ay -> withPoint b $ \bx by -> + ccrypton_p256e_point_add ax ay bx by dx dy -- | Negate a point pointNegate :: Point -> Point @@ -146,24 +151,24 @@ withScalar n1 $ \pn1 -> withScalar n2 $ \pn2 -> withPoint p $ \px py -> ccrypton_p256_points_mul_vartime pn1 pn2 px py dx dy --- | Check if a 'Point' is valid +-- | Check if a t'Point' is valid pointIsValid :: Point -> Bool pointIsValid p = unsafeDoIO $ withPoint p $ \px py -> do r <- ccrypton_p256_is_valid_point px py return (r /= 0) --- | Check if a 'Point' is the point at infinity +-- | Check if a t'Point' is the point at infinity pointIsAtInfinity :: Point -> Bool pointIsAtInfinity (Point b) = constAllZero b --- | Return the x coordinate as a 'Scalar' if the point is not at infinity +-- | Return the x coordinate as a t'Scalar' if the point is not at infinity pointX :: Point -> Maybe Scalar pointX p | pointIsAtInfinity p = Nothing - | otherwise = Just $ - withNewScalarFreeze $ \d -> - withPoint p $ \px _ -> - ccrypton_p256_mod ccrypton_SECP256r1_n (castPtr px) (castPtr d) + | otherwise = Just $ + withNewScalarFreeze $ \d -> + withPoint p $ \px _ -> + ccrypton_p256_mod ccrypton_SECP256r1_n (castPtr px) (castPtr d) -- | Convert a point to (x,y) Integers pointToIntegers :: Point -> (Integer, Integer) @@ -175,12 +180,14 @@ x <- os2ip temp scalarSize ccrypton_p256_to_bin py temp y <- os2ip temp scalarSize - return (x,y) + return (x, y) -- | Convert from (x,y) Integers to a point pointFromIntegers :: (Integer, Integer) -> Point -pointFromIntegers (x,y) = withNewPoint $ \dx dy -> - allocTemp scalarSize (\temp -> fill temp (castPtr dx) x >> fill temp (castPtr dy) y) +pointFromIntegers (x, y) = withNewPoint $ \dx dy -> + allocTemp + scalarSize + (\temp -> fill temp (castPtr dx) x >> fill temp (castPtr dy) y) where -- put @n to @temp in big endian format, then from @temp to @dest in p256 scalar format fill :: Ptr Word8 -> Ptr P256Scalar -> Integer -> IO () @@ -207,15 +214,15 @@ validatePoint :: Point -> CryptoFailable Point validatePoint p | pointIsValid p = CryptoPassed p - | otherwise = CryptoFailed CryptoError_PointCoordinatesInvalid + | otherwise = CryptoFailed CryptoError_PointCoordinatesInvalid -- | Convert from binary to a point, possibly invalid unsafePointFromBinary :: ByteArrayAccess ba => ba -> CryptoFailable Point unsafePointFromBinary ba | B.length ba /= pointSize = CryptoFailed CryptoError_PublicKeySizeInvalid - | otherwise = + | otherwise = CryptoPassed $ withNewPoint $ \px py -> B.withByteArray ba $ \src -> do - ccrypton_p256_from_bin src (castPtr px) + ccrypton_p256_from_bin src (castPtr px) ccrypton_p256_from_bin (src `plusPtr` scalarSize) (castPtr py) ------------------------------------------------------------------------ @@ -245,6 +252,17 @@ result <- ccrypton_p256_is_zero d return $ result /= 0 +-- | Bring a scalar below the order of the curve +-- +-- 'scalarFromInteger' and 'scalarFromBinary' take any 256 bits, so a scalar +-- can arrive above the order; the arithmetic below wants it brought down +-- first. Twice the order is more than 256 bits hold, so this is a single +-- subtraction, taken or not through a mask rather than a branch. +scalarReduce :: Scalar -> Scalar +scalarReduce a = + withNewScalarFreeze $ \d -> withScalar a $ \pa -> + ccrypton_p256_mod ccrypton_SECP256r1_n pa d + -- | Perform addition between two scalars -- -- > a + b @@ -267,7 +285,7 @@ scalarMul :: Scalar -> Scalar -> Scalar scalarMul a b = withNewScalarFreeze $ \d -> withScalar a $ \pa -> withScalar b $ \pb -> - ccrypton_p256_modmul ccrypton_SECP256r1_n pa 0 pb d + ccrypton_p256_modmul ccrypton_SECP256r1_n pa 0 pb d -- | Give the inverse of the scalar -- @@ -298,7 +316,7 @@ scalarFromBinary :: ByteArrayAccess ba => ba -> CryptoFailable Scalar scalarFromBinary ba | B.length ba /= scalarSize = CryptoFailed CryptoError_SecretKeySizeInvalid - | otherwise = + | otherwise = CryptoPassed $ withNewScalarFreeze $ \p -> B.withByteArray ba $ \b -> ccrypton_p256_from_bin b p {-# NOINLINE scalarFromBinary #-} @@ -312,7 +330,10 @@ -- | Convert from an Integer to a P256 Scalar scalarFromInteger :: Integer -> CryptoFailable Scalar scalarFromInteger i = - maybe (CryptoFailed CryptoError_SecretKeySizeInvalid) scalarFromBinary (S.i2ospOf 32 i :: Maybe Bytes) + maybe + (CryptoFailed CryptoError_SecretKeySizeInvalid) + scalarFromBinary + (S.i2ospOf 32 i :: Maybe Bytes) -- | Convert from a P256 Scalar to an Integer scalarToInteger :: Scalar -> Integer @@ -370,53 +391,76 @@ foreign import ccall "crypton_p256_clear" ccrypton_p256_clear :: Ptr P256Scalar -> IO () foreign import ccall "crypton_p256e_modadd" - ccrypton_p256e_modadd :: Ptr P256Scalar -> Ptr P256Scalar -> Ptr P256Scalar -> Ptr P256Scalar -> IO () + ccrypton_p256e_modadd + :: Ptr P256Scalar -> Ptr P256Scalar -> Ptr P256Scalar -> Ptr P256Scalar -> IO () foreign import ccall "crypton_p256_add_d" ccrypton_p256_add_d :: Ptr P256Scalar -> P256Digit -> Ptr P256Scalar -> IO CInt foreign import ccall "crypton_p256e_modsub" - ccrypton_p256e_modsub :: Ptr P256Scalar -> Ptr P256Scalar -> Ptr P256Scalar -> Ptr P256Scalar -> IO () + ccrypton_p256e_modsub + :: Ptr P256Scalar -> Ptr P256Scalar -> Ptr P256Scalar -> Ptr P256Scalar -> IO () foreign import ccall "crypton_p256_cmp" ccrypton_p256_cmp :: Ptr P256Scalar -> Ptr P256Scalar -> IO CInt foreign import ccall "crypton_p256_mod" ccrypton_p256_mod :: Ptr P256Scalar -> Ptr P256Scalar -> Ptr P256Scalar -> IO () foreign import ccall "crypton_p256_modmul" - ccrypton_p256_modmul :: Ptr P256Scalar -> Ptr P256Scalar -> P256Digit -> Ptr P256Scalar -> Ptr P256Scalar -> IO () + ccrypton_p256_modmul + :: Ptr P256Scalar + -> Ptr P256Scalar + -> P256Digit + -> Ptr P256Scalar + -> Ptr P256Scalar + -> IO () foreign import ccall "crypton_p256e_scalar_invert" ccrypton_p256e_scalar_invert :: Ptr P256Scalar -> Ptr P256Scalar -> IO () ---foreign import ccall "crypton_p256_modinv" --- ccrypton_p256_modinv :: Ptr P256Scalar -> Ptr P256Scalar -> Ptr P256Scalar -> IO () + foreign import ccall "crypton_p256_modinv_vartime" - ccrypton_p256_modinv_vartime :: Ptr P256Scalar -> Ptr P256Scalar -> Ptr P256Scalar -> IO () + ccrypton_p256_modinv_vartime + :: Ptr P256Scalar -> Ptr P256Scalar -> Ptr P256Scalar -> IO () foreign import ccall "crypton_p256_base_point_mul" - ccrypton_p256_basepoint_mul :: Ptr P256Scalar - -> Ptr P256X -> Ptr P256Y - -> IO () + ccrypton_p256_basepoint_mul + :: Ptr P256Scalar + -> Ptr P256X + -> Ptr P256Y + -> IO () foreign import ccall "crypton_p256e_point_add" - ccrypton_p256e_point_add :: Ptr P256X -> Ptr P256Y - -> Ptr P256X -> Ptr P256Y - -> Ptr P256X -> Ptr P256Y - -> IO () + ccrypton_p256e_point_add + :: Ptr P256X + -> Ptr P256Y + -> Ptr P256X + -> Ptr P256Y + -> Ptr P256X + -> Ptr P256Y + -> IO () foreign import ccall "crypton_p256e_point_negate" - ccrypton_p256e_point_negate :: Ptr P256X -> Ptr P256Y - -> Ptr P256X -> Ptr P256Y - -> IO () + ccrypton_p256e_point_negate + :: Ptr P256X + -> Ptr P256Y + -> Ptr P256X + -> Ptr P256Y + -> IO () -- compute (out_x,out_y) = n * (in_x,in_y) foreign import ccall "crypton_p256e_point_mul" - ccrypton_p256e_point_mul :: Ptr P256Scalar -- n - -> Ptr P256X -> Ptr P256Y -- in_{x,y} - -> Ptr P256X -> Ptr P256Y -- out_{x,y} - -> IO () + ccrypton_p256e_point_mul + :: Ptr P256Scalar -- n + -> Ptr P256X + -> Ptr P256Y -- in_{x,y} + -> Ptr P256X + -> Ptr P256Y -- out_{x,y} + -> IO () -- compute (out_x,out,y) = n1 * G + n2 * (in_x,in_y) foreign import ccall "crypton_p256_points_mul_vartime" - ccrypton_p256_points_mul_vartime :: Ptr P256Scalar -- n1 - -> Ptr P256Scalar -- n2 - -> Ptr P256X -> Ptr P256Y -- in_{x,y} - -> Ptr P256X -> Ptr P256Y -- out_{x,y} - -> IO () + ccrypton_p256_points_mul_vartime + :: Ptr P256Scalar -- n1 + -> Ptr P256Scalar -- n2 + -> Ptr P256X + -> Ptr P256Y -- in_{x,y} + -> Ptr P256X + -> Ptr P256Y -- out_{x,y} + -> IO () foreign import ccall "crypton_p256_is_valid_point" ccrypton_p256_is_valid_point :: Ptr P256X -> Ptr P256Y -> IO CInt diff --git a/Crypto/PubKey/ECC/Prim.hs b/Crypto/PubKey/ECC/Prim.hs --- a/Crypto/PubKey/ECC/Prim.hs +++ b/Crypto/PubKey/ECC/Prim.hs @@ -1,39 +1,164 @@ +{-# LANGUAGE BangPatterns #-} + -- | Elliptic Curve Arithmetic. -- --- /WARNING:/ These functions are vulnerable to timing attacks. -module Crypto.PubKey.ECC.Prim - ( scalarGenerate - , pointAdd - , pointNegate - , pointDouble - , pointBaseMul - , pointMul - , pointAddTwoMuls - , isPointAtInfinity - , isPointValid - ) where +-- /WARNING:/ These functions are vulnerable to timing attacks, except on +-- P-256, whose multiplications go to the C implementation in +-- "Crypto.PubKey.ECC.P256". +module Crypto.PubKey.ECC.Prim ( + scalarGenerate, + scalarInverse, + scalarAdd, + scalarMul, + pointAdd, + pointNegate, + pointDouble, + pointBaseMul, + pointMul, + pointAddTwoMuls, + pointDecompose, + pointCompose, + isPointAtInfinity, + isPointValid, + isPointInSubgroup, +) where -import Data.Maybe -import Crypto.Number.ModArithmetic +import Crypto.Error (maybeCryptoError) +import Crypto.Internal.ECC (CurveField (..), MulResult (..), curveMul) +import Crypto.Number.Basic (numBits) import Crypto.Number.F2m import Crypto.Number.Generate (generateBetween) +import Crypto.Number.ModArithmetic +import qualified Crypto.PubKey.ECC.P256 as P256 import Crypto.PubKey.ECC.Types import Crypto.Random +import Data.Bits (shiftL, shiftR, testBit, (.&.)) +import Data.Maybe +-- | P-256, the one curve here that has a C implementation: 'SEC_p256r1', also +-- known as NIST P-256 and prime256v1. +-- +-- A 'Curve' carries its parameters rather than a name, so this compares the +-- parameters. They are public, so the comparison tells an attacker nothing. +p256Curve :: Curve +p256Curve = getCurveByName SEC_p256r1 +{-# NOINLINE p256Curve #-} + +p256Order :: Integer +p256Order = ecc_n (common_curve p256Curve) + +p256Base :: Point +p256Base = ecc_g (common_curve p256Curve) + +-- | A point the C implementation will take: in range, on the curve, and not +-- the point at infinity, which it does not represent. Anything else is left +-- to the generic code, which answers for points off the curve too. +toP256 :: Point -> Maybe P256.Point +toP256 PointO = Nothing +toP256 (Point x y) + | x < 0 || y < 0 || x >= limit || y >= limit = Nothing + | P256.pointIsValid p = Just p + | otherwise = Nothing + where + limit = 1 `shiftL` 256 + p = P256.pointFromIntegers (x, y) + +fromP256 :: P256.Point -> Point +fromP256 p + | P256.pointIsAtInfinity p = PointO + | otherwise = uncurry Point (P256.pointToIntegers p) + +-- | Any 256-bit number as a scalar. +-- +-- The arithmetic below takes them as they come: a 256-bit value is barely +-- over the order, and both the multiplication and the addition bring their +-- answer back under it. 'Nothing' is for what does not fit in 256 bits, +-- which no scalar anybody signs with does. +p256Scalar :: Integer -> Maybe P256.Scalar +p256Scalar n + | n < 0 || n >= 1 `shiftL` 256 = Nothing + | otherwise = maybeCryptoError (P256.scalarFromInteger n) + +-- | The scalar reduced into the range the C implementation takes. +-- +-- Every point it accepts has the curve's order, so reducing changes no +-- answer; 'Nothing' means the multiple is the point at infinity, which is the +-- generic code's business. +-- The reduction is a single masked subtraction, so a secret scalar does not +-- steer it, which taking the remainder would: dividing takes a number of +-- steps that follows the number being divided. Anything wider than 256 bits +-- has to go through a division first, but a scalar that wide is not one +-- anybody signs with. +toP256Scalar :: Integer -> Maybe P256.Scalar +toP256Scalar n = case P256.scalarReduce <$> p256Scalar n of + Nothing -> toP256Scalar (n `mod` p256Order) -- wider than 256 bits, or below zero + Just s + | P256.scalarIsZero s -> Nothing + | otherwise -> Just s + +-- | @n1 * p1 + n2 * p2@ through the C implementation, when one of the points +-- is the base point. That is the shape signature verification uses. +p256AddTwoMuls :: Integer -> Point -> Integer -> Point -> Maybe Point +p256AddTwoMuls n1 p1 n2 p2 + | p1 == p256Base = withBase n1 n2 p2 + | p2 == p256Base = withBase n2 n1 p1 + | otherwise = Nothing + where + withBase a b q = + fromP256 + <$> (P256.pointsMulVarTime <$> toP256Scalar a <*> toP256Scalar b <*> toP256 q) + -- | Generate a valid scalar for a specific Curve scalarGenerate :: MonadRandom randomly => Curve -> randomly PrivateNumber scalarGenerate curve = generateBetween 1 (n - 1) where - n = ecc_n $ common_curve curve + n = ecc_n $ common_curve curve ---TODO: Extract helper function for `fromMaybe PointO...` +-- | The inverse of a scalar modulo the order of the curve, without letting +-- the scalar steer how long the work takes. This is what signing needs for +-- its nonce, which is as worth hiding as the private key itself: a handful of +-- signatures whose nonces are partly known give the key away. +-- +-- On P-256 the C implementation does it; elsewhere it is 'inverseSafe'. +-- 'Nothing' means the scalar has no inverse, which for the curves in use here +-- means it was a multiple of the order. +scalarInverse :: Curve -> Integer -> Maybe Integer +scalarInverse c k + | c == p256Curve + , Just s <- toP256Scalar k = + Just (P256.scalarToInteger (P256.scalarInvSafe s)) + | otherwise = inverseSafe k (ecc_n $ common_curve c) +-- | Addition modulo the order of the curve. +-- +-- On P-256 this is the C implementation's arithmetic, which works in a fixed +-- width and so does not let the values steer it; elsewhere it is 'Integer' +-- arithmetic, whose cost follows the values. +scalarAdd :: Curve -> Integer -> Integer -> Integer +scalarAdd c a b + | c == p256Curve + , Just x <- p256Scalar a + , Just y <- p256Scalar b = + P256.scalarToInteger (P256.scalarAdd x y) + | otherwise = (a + b) `mod` ecc_n (common_curve c) + +-- | Multiplication modulo the order of the curve, as 'scalarAdd'. +scalarMul :: Curve -> Integer -> Integer -> Integer +scalarMul c a b + | c == p256Curve + , Just x <- p256Scalar a + , Just y <- p256Scalar b = + P256.scalarToInteger (P256.scalarMul x y) + | otherwise = (a * b) `mod` ecc_n (common_curve c) + +-- TODO: Extract helper function for `fromMaybe PointO...` + -- | Elliptic Curve point negation: -- @pointNegate c p@ returns point @q@ such that @pointAdd c p q == PointO@. pointNegate :: Curve -> Point -> Point -pointNegate _ PointO = PointO +pointNegate _ PointO = PointO pointNegate (CurveFP c) (Point x y) = Point x (ecc_p c - y) -pointNegate CurveF2m{} (Point x y) = Point x (x `addF2m` y) +pointNegate CurveF2m{} (Point x y) = Point x (x `addF2m` y) -- | Elliptic Curve point addition. -- @@ -43,21 +168,22 @@ pointAdd _ PointO q = q pointAdd _ p PointO = p pointAdd c p q - | p == q = pointDouble c p - | p == pointNegate c q = PointO -pointAdd (CurveFP (CurvePrime pr _)) (Point xp yp) (Point xq yq) - = fromMaybe PointO $ do + | p == q = pointDouble c p + | p == pointNegate c q = PointO +pointAdd (CurveFP (CurvePrime pr _)) (Point xp yp) (Point xq yq) = + fromMaybe PointO $ do s <- divmod (yp - yq) (xp - xq) pr - let xr = (s ^ (2::Int) - xp - xq) `mod` pr + let xr = (s ^ (2 :: Int) - xp - xq) `mod` pr yr = (s * (xp - xr) - yp) `mod` pr return $ Point xr yr -pointAdd (CurveF2m (CurveBinary fx cc)) (Point xp yp) (Point xq yq) - = fromMaybe PointO $ do +pointAdd (CurveF2m (CurveBinary fx cc)) (Point xp yp) (Point xq yq) = + fromMaybe PointO $ do s <- divF2m fx (yp `addF2m` yq) (xp `addF2m` xq) let xr = mulF2m fx s s `addF2m` s `addF2m` xp `addF2m` xq `addF2m` a yr = mulF2m fx s (xp `addF2m` xr) `addF2m` xr `addF2m` yp return $ Point xr yr - where a = ecc_a cc + where + a = ecc_a cc -- | Elliptic Curve point doubling. -- @@ -74,73 +200,316 @@ -- > s = xp + (yp / xp) -- > xr = s ^ 2 + s + a -- > yr = xp ^ 2 + (s+1) * xr --- pointDouble :: Curve -> Point -> Point pointDouble _ PointO = PointO pointDouble (CurveFP (CurvePrime pr cc)) (Point xp yp) = fromMaybe PointO $ do - lambda <- divmod (3 * xp ^ (2::Int) + a) (2 * yp) pr - let xr = (lambda ^ (2::Int) - 2 * xp) `mod` pr + lambda <- divmod (3 * xp ^ (2 :: Int) + a) (2 * yp) pr + let xr = (lambda ^ (2 :: Int) - 2 * xp) `mod` pr yr = (lambda * (xp - xr) - yp) `mod` pr return $ Point xr yr - where a = ecc_a cc + where + a = ecc_a cc pointDouble (CurveF2m (CurveBinary fx cc)) (Point xp yp) - | xp == 0 = PointO + | xp == 0 = PointO | otherwise = fromMaybe PointO $ do s <- return . addF2m xp =<< divF2m fx yp xp let xr = mulF2m fx s s `addF2m` s `addF2m` a yr = mulF2m fx xp xp `addF2m` mulF2m fx xr (s `addF2m` 1) return $ Point xr yr - where a = ecc_a cc + where + a = ecc_a cc -- | Elliptic curve point multiplication using the base -- --- /WARNING:/ Vulnerable to timing attacks. +-- On P-256 this reaches the C implementation, which multiplies the base point +-- through a table of its own. +-- +-- /WARNING:/ On every other curve, vulnerable to timing attacks. pointBaseMul :: Curve -> Integer -> Point pointBaseMul c n = pointMul c n (ecc_g $ common_curve c) --- | Elliptic curve point multiplication (double and add algorithm). +-- | Elliptic curve point multiplication. -- --- /WARNING:/ Vulnerable to timing attacks. +-- Over a prime field this goes to C, four bits of scalar at a time, with the +-- multiple to add taken from a table read by touching every entry of it. +-- Over a binary field it also goes to C, as Montgomery's ladder: it carries +-- the x coordinates of two consecutive multiples -- their difference being +-- the point is what lets it carry no more than that -- and spends one +-- addition and one doubling on every bit whichever way the bit goes, with the +-- two exchanged by a mask rather than chosen by a branch. Either way the work +-- follows the width of the curve's order and not the scalar. +-- +-- What falls back on the 'Integer' arithmetic below is a point that is not on +-- the curve, the one point of a binary curve that has no x, and a prime the C +-- will not take. +-- +-- Multiplying the base point of a curve over a prime field -- which is what +-- signing and making a key do, and nothing else does -- goes through a table +-- of its multiples, built when that curve is first asked for one and kept +-- afterwards. The build is a few milliseconds and the table a few hundred +-- kilobytes, and a multiplication that uses it takes about a third of what +-- one without it takes. +-- +-- On P-256 the multiplication goes to the C implementation in +-- "Crypto.PubKey.ECC.P256", which has a table for the base point. +-- +-- /WARNING:/ What is left of the 'Integer' arithmetic below -- a point off +-- the curve, the one point of a binary curve with no x, a prime or a +-- polynomial the C will not take -- has uniform operation counts at best, and +-- uniform operation counts are not constant time: those operations cost what +-- the values they are given cost. pointMul :: Curve -> Integer -> Point -> Point pointMul _ _ PointO = PointO pointMul c n p - | n < 0 = pointMul c (-n) (pointNegate c p) + -- the base point has a table of its own in the C, which is what makes key + -- generation and signing quicker than multiplying any other point + | c == p256Curve + , p == p256Base = + maybe PointO (fromP256 . P256.toPoint) (toP256Scalar n) + | c == p256Curve + , Just q <- toP256 p = + maybe PointO (\s -> fromP256 (P256.pointMul s q)) (toP256Scalar n) + | n < 0 = pointMul c (-n) (pointNegate c p) | n == 0 = PointO - | n == 1 = p - | odd n = pointAdd c p (pointMul c (n - 1) p) - | otherwise = pointMul c (n `div` 2) (pointDouble c p) + | otherwise = + case c of + CurveFP (CurvePrime pr cc) -> primeMul pr cc + CurveF2m (CurveBinary fx cc) -> binaryMul fx cc + where + -- The C answers for a point on the curve; anything else keeps the + -- answers it has always had from the code below. Multiplying the base + -- point, which is what signing and making a key do, goes through the + -- table kept for it. + primeMul pr cc = case p of + Point px py + | isPointValid c p -> + answer slow $ + curveMul + (Prime pr (ecc_a cc) (ecc_b cc)) + (ecc_n cc) + n + px + py + (p == ecc_g cc) + _ -> slow + where + slow = + jacobianMul + pr + (ecc_a cc) + (max (integerBits n) (integerBits (ecc_n cc))) + n + p --- | Elliptic curve double-scalar multiplication (uses Shamir's trick). + -- The ladder answers for a point on the curve that has an x; the one + -- point with no x, and anything off the curve, keep what they had. + binaryMul fx cc = case p of + Point px py + | isPointValid c p -> + answer (affineMul n p) $ + curveMul (Binary fx (ecc_b cc)) (ecc_n cc) n px py False + _ -> affineMul n p + + -- what the C could not take goes back to the code that was here before + answer fallback r = case r of + MulPoint x y -> Point x y + MulInfinity -> PointO + MulUnsupported -> fallback + + affineMul k q + | k == 0 = PointO + | k == 1 = q + | odd k = pointAdd c q (affineMul (k - 1) q) + | otherwise = affineMul (k `div` 2) (pointDouble c q) + +-- | Number of bits needed to write n, for n > 0. +integerBits :: Integer -> Int +integerBits = go 0 + where + go acc 0 = acc + go acc k = go (acc + 1) (k `div` 2) + +-- | A point in Jacobian coordinates: @(X, Y, Z)@ stands for the affine +-- @(X\/Z^2, Y\/Z^3)@, and @JPointO@ for the point at infinity. +data JPoint = JPointO | JPoint !Integer !Integer !Integer + +-- | The field a prime curve works in, and how to reduce into it. -- +-- Most curve primes are @2^k - c@ with @c@ far smaller than the prime. +-- Reducing is then a shift, a multiplication by @c@ and an addition, where +-- dividing a number twice the width costs about four times as much: 227ns +-- against 183 for a P-384 multiplication, and 226 against 89 for P-521, whose +-- @c@ is one. +-- | The prime, the width to fold at, and what to fold back in. A @c@ of zero +-- says to divide instead, either because the prime has no such shape or +-- because it is too small for folding to pay: @c@ has to be under half the +-- width, or folding would not shrink the number, and below 256 bits the +-- handful of 'Integer' operations folding takes costs more than the division +-- it saves -- measured on P-192, where folding is 14% slower. +data Field = Field !Integer !Int !Integer + +mkField :: Integer -> Field +mkField p + | p > 0 && c > 0 && 2 * numBits c <= k && k >= 256 = Field p k c + | otherwise = Field p 0 0 + where + k = numBits p + c = (1 `shiftL` k) - p + +fieldPrime :: Field -> Integer +fieldPrime (Field p _ _) = p + +fieldReduce :: Field -> Integer -> Integer +fieldReduce (Field p k c) x + | c == 0 || x < 0 = x `mod` p + | otherwise = trim (fold x) + where + mask = (1 `shiftL` k) - 1 + fold v + | v > mask = fold ((v `shiftR` k) * c + (v .&. mask)) + | otherwise = v + trim v + | v >= p = trim (v - p) + | otherwise = v +{-# INLINE fieldReduce #-} + +-- | A point in affine coordinates: the second operand of every addition a +-- scalar multiplication makes, where knowing that z is one saves four +-- multiplications of the sixteen. +data Affine = AffineO | Affine !Integer !Integer + +jacobianMul :: Integer -> Integer -> Int -> Integer -> Point -> Point +jacobianMul _ _ _ _ PointO = PointO +jacobianMul pr a bits n (Point px py) = fromJacobian f (go (bits - 1) JPointO) + where + f = mkField pr + base = Affine px py + + -- The bangs are what make the addition happen at every bit. Without + -- them the one that is not taken stays a thunk and is never worked out, + -- so the multiplication costs a step for every bit that is set rather + -- than for every bit there is, and a single measurement tells an attacker + -- how many bits of the scalar are set. + go i acc + | i < 0 = acc + | otherwise = + let !d = jDouble f a acc + !s = jAddAffine f a d base + in go (i - 1) (if testBit n i then s else d) + +jDouble :: Field -> Integer -> JPoint -> JPoint +jDouble _ _ JPointO = JPointO +jDouble f a (JPoint x y z) + | y == 0 = JPointO + | otherwise = JPoint x3 y3 z3 + where + red = fieldReduce f + yy = red (y * y) + delta = red (4 * x * yy) + zz = red (z * z) + m = red (3 * x * x + a * zz * zz) + x3 = red (m * m - 2 * delta) + y3 = red (m * (delta - x3) - 8 * yy * yy) + z3 = red (2 * y * z) + +-- | Add a point whose z is one, which is what a scalar multiplication always +-- adds: u1 is x1, s1 is y1, and z3 is one multiplication rather than two. +jAddAffine :: Field -> Integer -> JPoint -> Affine -> JPoint +jAddAffine _ _ p AffineO = p +jAddAffine _ _ JPointO (Affine x2 y2) = JPoint x2 y2 1 +jAddAffine f a p@(JPoint x1 y1 z1) (Affine x2 y2) + | h /= 0 = JPoint x3 y3 z3 + | r /= 0 = JPointO + | otherwise = jDouble f a p + where + red = fieldReduce f + z1s = red (z1 * z1) + u2 = red (x2 * z1s) + s2 = red (y2 * z1s * z1) + h = red (u2 - x1) + r = red (s2 - y1) + h2 = red (h * h) + h3 = red (h2 * h) + x3 = red (r * r - h3 - 2 * x1 * h2) + y3 = red (r * (x1 * h2 - x3) - y1 * h3) + z3 = red (h * z1) + +fromJacobian :: Field -> JPoint -> Point +fromJacobian _ JPointO = PointO +fromJacobian f (JPoint x y z) = + case inverse z (fieldPrime f) of + Nothing -> PointO + Just zi -> + let red = fieldReduce f + zi2 = red (zi * zi) + in Point (red (x * zi2)) (red (y * zi2 * zi)) + +-- | Elliptic curve double-scalar multiplication. +-- -- > pointAddTwoMuls c n1 p1 n2 p2 == pointAdd c (pointMul c n1 p1) -- > (pointMul c n2 p2) -- +-- which, apart from P-256, is how it is done: the two multiplications +-- separately, and then one addition. P-256 has a double multiplication of +-- its own in C and takes it. +-- +-- This used to be Shamir's trick, one pass over the bits of both scalars at +-- once, which shares the doublings between them and is the right thing to do +-- when the two multiplications would cost the same. They no longer do. +-- 'pointMul' goes to C, and over a prime field it multiplies the base point +-- through a table of its multiples, which is a third of the price of an +-- ordinary multiplication -- and the base point is one of the two here, since +-- signature verification is what asks for this. Sharing the doublings with a +-- pass in 'Integer' arithmetic gives that up and more: on P-384 it costs +-- twice what two multiplications in C cost, and on the curves over a binary +-- field, whose addition needs an inversion where the C has a ladder that +-- needs none, it costs two hundred times as much. +-- +-- Both scalars are public wherever this is called from, so nothing here is +-- meant to hide them. +-- -- /WARNING:/ Vulnerable to timing attacks. pointAddTwoMuls :: Curve -> Integer -> Point -> Integer -> Point -> Point -pointAddTwoMuls _ _ PointO _ PointO = PointO -pointAddTwoMuls c _ PointO n2 p2 = pointMul c n2 p2 -pointAddTwoMuls c n1 p1 _ PointO = pointMul c n1 p1 -pointAddTwoMuls c n1 p1 n2 p2 - | n1 < 0 = pointAddTwoMuls c (-n1) (pointNegate c p1) n2 p2 - | n2 < 0 = pointAddTwoMuls c n1 p1 (-n2) (pointNegate c p2) - | otherwise = go (n1, n2) +pointAddTwoMuls c n1 p1 n2 p2 + | c == p256Curve, Just r <- p256AddTwoMuls n1 p1 n2 p2 = r + | otherwise = pointAdd c (pointMul c n1 p1) (pointMul c n2 p2) - where - p0 = pointAdd c p1 p2 +-- | Decompose a point into index, residue, and parity. +-- +-- Adapted from SEC 1: Elliptic Curve Cryptography, Version 2.0, section 2.3.3. +pointDecompose :: Curve -> Point -> Maybe (Integer, Integer, Bool) +pointDecompose _ PointO = Nothing +pointDecompose curve (Point x y) = do + let CurveCommon _ _ _ n _ = common_curve curve + let (index, residue) = x `divMod` n + parity <- case curve of + CurveFP _ -> pure $ odd y + CurveF2m _ | x == 0 -> pure False + CurveF2m (CurveBinary fx _) -> odd <$> divF2m fx y x + pure (index, residue, parity) - go (0, 0 ) = PointO - go (k1, k2) = - let q = pointDouble c $ go (k1 `div` 2, k2 `div` 2) - in case (odd k1, odd k2) of - (True , True ) -> pointAdd c p0 q - (True , False ) -> pointAdd c p1 q - (False , True ) -> pointAdd c p2 q - (False , False ) -> q +-- | Compose a point from index, residue, and parity. +-- +-- Adapted from SEC 1: Elliptic Curve Cryptography, Version 2.0, section 2.3.4. +pointCompose :: Curve -> Integer -> Integer -> Bool -> Maybe Point +pointCompose curve index residue parity = do + let CurveCommon a b _ n _ = common_curve curve + let x = residue + index * n + y <- case curve of + CurveFP (CurvePrime p _) -> do + z <- squareRoot p $ x ^ (3 :: Int) + a * x + b + pure $ if odd z == parity then z else p - z + CurveF2m (CurveBinary fx _) | x == 0 -> pure $ sqrtF2m fx b + CurveF2m (CurveBinary fx _) -> do + c <- divF2m fx b $ squareF2m fx x + z <- quadraticF2m fx $ addF2m x $ addF2m a c + pure $ mulF2m fx x $ if odd z == parity then z else addF2m 1 z + pure $ Point x y -- | Check if a point is the point at infinity. isPointAtInfinity :: Point -> Bool isPointAtInfinity PointO = True -isPointAtInfinity _ = False +isPointAtInfinity _ = False -- | check if a point is on specific curve -- @@ -149,24 +518,78 @@ -- * x is not out of range -- * y is not out of range -- * the equation @y^2 = x^3 + a*x + b (mod p)@ holds +-- +-- over a prime curve, and the corresponding checks over a binary curve: the +-- coordinates reduce to themselves in the field, and +-- @y^2 + x*y = x^3 + a*x^2 + b@ holds. +-- +-- This is the check to make on a point that arrives from elsewhere, before +-- multiplying it by a private number. Without it the multiplication is +-- carried out in whatever group the supplied point generates rather than the +-- curve group, and if that group is small the private number can be recovered +-- from the result. +-- +-- Two things it does not establish: +-- +-- * The point at infinity is reported as valid, since it is a member of the +-- curve group. It is not a usable peer value: multiplying it by anything +-- yields the point at infinity again, which has no coordinates. Reject it +-- separately where a peer is not allowed to send it. +-- +-- * Being on the curve is not membership of the subgroup generated by the base +-- point. The two coincide only when the cofactor is 1. Of the curves in +-- 'Crypto.PubKey.ECC.Types.CurveName' that holds for every prime curve +-- except @SEC_p112r2@ and @SEC_p128r2@, whose cofactor is 4, and for no +-- binary curve, whose cofactor is 2 or 4. Where the cofactor is above 1 a +-- point on the curve may still generate a small subgroup, and ruling that +-- out needs a further check -- multiplying by the group order and requiring +-- the point at infinity, or clearing the cofactor -- that this function does +-- not make. isPointValid :: Curve -> Point -> Bool -isPointValid _ PointO = True +isPointValid _ PointO = True isPointValid (CurveFP (CurvePrime p cc)) (Point x y) = isValid x && isValid y && (y ^ (2 :: Int)) `eqModP` (x ^ (3 :: Int) + a * x + b) - where a = ecc_a cc - b = ecc_b cc - eqModP z1 z2 = (z1 `mod` p) == (z2 `mod` p) - isValid e = e >= 0 && e < p + where + a = ecc_a cc + b = ecc_b cc + eqModP z1 z2 = (z1 `mod` p) == (z2 `mod` p) + isValid e = e >= 0 && e < p isPointValid (CurveF2m (CurveBinary fx cc)) (Point x y) = - and [ isValid x + and + [ isValid x , isValid y , ((((x `add` a) `mul` x `add` y) `mul` x) `add` b `add` (squareF2m fx y)) == 0 ] - where a = ecc_a cc - b = ecc_b cc - add = addF2m - mul = mulF2m fx - isValid e = modF2m fx e == e + where + a = ecc_a cc + b = ecc_b cc + add = addF2m + mul = mulF2m fx + isValid e = modF2m fx e == e + +-- | Check that a point is in the subgroup the base point generates, which is +-- the further check 'isPointValid' does not make. A point that is on the +-- curve but outside that subgroup answers a multiplication modulo an order +-- smaller than the group's, so the multiplier -- a private number, where the +-- point came from a peer -- is revealed modulo that small order. +-- +-- Where the cofactor is 1 the subgroup is the whole curve group and the +-- answer is 'True' for any point on the curve, at no cost. Otherwise the +-- point is multiplied by the group order and the answer is whether that +-- reaches the point at infinity, which costs one scalar multiplication. This +-- is the check OpenSSL's @EC_KEY_check_key@ makes. +-- +-- The point at infinity is reported as in the subgroup, as 'isPointValid' +-- reports it valid; it is a member, and unusable for other reasons. +-- +-- A point that is not on the curve at all has no meaningful answer here, so +-- check 'isPointValid' first. +isPointInSubgroup :: Curve -> Point -> Bool +isPointInSubgroup curve p + | ecc_h cc == 1 = True + | otherwise = pointMul curve (ecc_n cc) p == PointO + where + cc = common_curve curve -- | div and mod divmod :: Integer -> Integer -> Integer -> Maybe Integer diff --git a/Crypto/PubKey/ECC/Types.hs b/Crypto/PubKey/ECC/Types.hs --- a/Crypto/PubKey/ECC/Types.hs +++ b/Crypto/PubKey/ECC/Types.hs @@ -1,4 +1,5 @@ {-# LANGUAGE DeriveDataTypeable #-} + -- | -- Module : Crypto.PubKey.ECC.Types -- License : BSD-style @@ -8,32 +9,35 @@ -- -- References: -- --- -module Crypto.PubKey.ECC.Types - ( Curve(..) - , Point(..) - , PublicPoint - , PrivateNumber - , CurveBinary(..) - , CurvePrime(..) - , common_curve - , curveSizeBits - , ecc_fx - , ecc_p - , CurveCommon(..) +module Crypto.PubKey.ECC.Types ( + Curve (..), + Point (..), + PublicPoint, + PrivateNumber, + CurveBinary (..), + CurvePrime (..), + common_curve, + curveSizeBits, + ecc_fx, + ecc_p, + CurveCommon (..), + -- * Recommended curves definition - , CurveName(..) - , getCurveByName - ) where + CurveName (..), + getCurveByName, +) where -import Data.Data -import Crypto.Internal.Imports -import Crypto.Number.Basic (numBits) +import Crypto.Internal.Imports +import Crypto.Number.Basic (numBits) +import Data.Data -- | Define either a binary curve or a prime curve. -data Curve = CurveF2m CurveBinary -- ^ 𝔽(2^m) - | CurveFP CurvePrime -- ^ 𝔽p - deriving (Show,Read,Eq,Data) +data Curve + = -- | 𝔽(2^m) + CurveF2m CurveBinary + | -- | 𝔽p + CurveFP CurvePrime + deriving (Show, Read, Eq, Data) -- | ECC Public Point type PublicPoint = Point @@ -42,9 +46,11 @@ type PrivateNumber = Integer -- | Define a point on a curve. -data Point = Point Integer Integer - | PointO -- ^ Point at Infinity - deriving (Show,Read,Eq,Data) +data Point + = Point Integer Integer + | -- | Point at Infinity + PointO + deriving (Show, Read, Eq, Data) instance NFData Point where rnf (Point x y) = x `seq` y `seq` () @@ -53,7 +59,7 @@ -- | Define an elliptic curve in 𝔽(2^m). -- The firt parameter is the Integer representatioin of the irreducible polynomial f(x). data CurveBinary = CurveBinary Integer CurveCommon - deriving (Show,Read,Eq,Data) + deriving (Show, Read, Eq, Data) instance NFData CurveBinary where rnf (CurveBinary i cc) = i `seq` cc `seq` () @@ -61,12 +67,12 @@ -- | Define an elliptic curve in 𝔽p. -- The first parameter is the Prime Number. data CurvePrime = CurvePrime Integer CurveCommon - deriving (Show,Read,Eq,Data) + deriving (Show, Read, Eq, Data) -- | Parameters in common between binary and prime curves. common_curve :: Curve -> CurveCommon common_curve (CurveF2m (CurveBinary _ cc)) = cc -common_curve (CurveFP (CurvePrime _ cc)) = cc +common_curve (CurveFP (CurvePrime _ cc)) = cc -- | Irreducible polynomial representing the characteristic of a CurveBinary. ecc_fx :: CurveBinary -> Integer @@ -79,16 +85,22 @@ -- | Define common parameters in a curve definition -- of the form: y^2 = x^3 + ax + b. data CurveCommon = CurveCommon - { ecc_a :: Integer -- ^ curve parameter a - , ecc_b :: Integer -- ^ curve parameter b - , ecc_g :: Point -- ^ base point - , ecc_n :: Integer -- ^ order of G - , ecc_h :: Integer -- ^ cofactor - } deriving (Show,Read,Eq,Data) + { ecc_a :: Integer + -- ^ curve parameter a + , ecc_b :: Integer + -- ^ curve parameter b + , ecc_g :: Point + -- ^ base point + , ecc_n :: Integer + -- ^ order of G + , ecc_h :: Integer + -- ^ cofactor + } + deriving (Show, Read, Eq, Data) -- | Define names for known recommended curves. -data CurveName = - SEC_p112r1 +data CurveName + = SEC_p112r1 | SEC_p112r2 | SEC_p128r1 | SEC_p128r2 @@ -121,8 +133,21 @@ | SEC_t409r1 | SEC_t571k1 | SEC_t571r1 - deriving (Show,Read,Eq,Ord,Enum,Bounded,Data) + deriving (Show, Read, Eq, Ord, Enum, Bounded, Data) +{-# DEPRECATED + SEC_t113r1, SEC_t113r2, SEC_t131r1, SEC_t131r2, SEC_t163k1, SEC_t163r1, + SEC_t163r2, SEC_t193r1, SEC_t193r2, SEC_t233k1, SEC_t233r1, SEC_t239k1, + SEC_t283k1, SEC_t283r1, SEC_t409k1, SEC_t409r1, SEC_t571k1, SEC_t571r1 + [ "This curve is over a binary field, and those are obsolete." + , "They are also the curves whose cofactor is not 1, so a point from" + , "a peer needs the subgroup check that costs a further scalar" + , "multiplication; pyca/cryptography deprecated them for removal in" + , "the release that fixed CVE-2026-26007. This one will go in a" + , "later major version of crypton. Prefer a prime curve, or X25519." + ] + #-} + {- curvesOIDs :: [ (CurveName, [Integer]) ] curvesOIDs = @@ -164,338 +189,527 @@ -- | get the size of the curve in bits curveSizeBits :: Curve -> Int -curveSizeBits (CurveFP c) = numBits (ecc_p c) +curveSizeBits (CurveFP c) = numBits (ecc_p c) curveSizeBits (CurveF2m c) = numBits (ecc_fx c) - 1 -- | Get the curve definition associated with a recommended known curve name. getCurveByName :: CurveName -> Curve -getCurveByName SEC_p112r1 = CurveFP $ CurvePrime - 0xdb7c2abf62e35e668076bead208b - (CurveCommon - { ecc_a = 0xdb7c2abf62e35e668076bead2088 - , ecc_b = 0x659ef8ba043916eede8911702b22 - , ecc_g = Point 0x09487239995a5ee76b55f9c2f098 +getCurveByName SEC_p112r1 = + CurveFP $ + CurvePrime + 0xdb7c2abf62e35e668076bead208b + ( CurveCommon + { ecc_a = 0xdb7c2abf62e35e668076bead2088 + , ecc_b = 0x659ef8ba043916eede8911702b22 + , ecc_g = + Point + 0x09487239995a5ee76b55f9c2f098 0xa89ce5af8724c0a23e0e0ff77500 - , ecc_n = 0xdb7c2abf62e35e7628dfac6561c5 - , ecc_h = 1 - }) -getCurveByName SEC_p112r2 = CurveFP $ CurvePrime - 0xdb7c2abf62e35e668076bead208b - (CurveCommon - { ecc_a = 0x6127c24c05f38a0aaaf65c0ef02c - , ecc_b = 0x51def1815db5ed74fcc34c85d709 - , ecc_g = Point 0x4ba30ab5e892b4e1649dd0928643 + , ecc_n = 0xdb7c2abf62e35e7628dfac6561c5 + , ecc_h = 1 + } + ) +getCurveByName SEC_p112r2 = + CurveFP $ + CurvePrime + 0xdb7c2abf62e35e668076bead208b + ( CurveCommon + { ecc_a = 0x6127c24c05f38a0aaaf65c0ef02c + , ecc_b = 0x51def1815db5ed74fcc34c85d709 + , ecc_g = + Point + 0x4ba30ab5e892b4e1649dd0928643 0xadcd46f5882e3747def36e956e97 - , ecc_n = 0x36df0aafd8b8d7597ca10520d04b - , ecc_h = 4 - }) -getCurveByName SEC_p128r1 = CurveFP $ CurvePrime - 0xfffffffdffffffffffffffffffffffff - (CurveCommon - { ecc_a = 0xfffffffdfffffffffffffffffffffffc - , ecc_b = 0xe87579c11079f43dd824993c2cee5ed3 - , ecc_g = Point 0x161ff7528b899b2d0c28607ca52c5b86 + , ecc_n = 0x36df0aafd8b8d7597ca10520d04b + , ecc_h = 4 + } + ) +getCurveByName SEC_p128r1 = + CurveFP $ + CurvePrime + 0xfffffffdffffffffffffffffffffffff + ( CurveCommon + { ecc_a = 0xfffffffdfffffffffffffffffffffffc + , ecc_b = 0xe87579c11079f43dd824993c2cee5ed3 + , ecc_g = + Point + 0x161ff7528b899b2d0c28607ca52c5b86 0xcf5ac8395bafeb13c02da292dded7a83 - , ecc_n = 0xfffffffe0000000075a30d1b9038a115 - , ecc_h = 1 - }) -getCurveByName SEC_p128r2 = CurveFP $ CurvePrime - 0xfffffffdffffffffffffffffffffffff - (CurveCommon - { ecc_a = 0xd6031998d1b3bbfebf59cc9bbff9aee1 - , ecc_b = 0x5eeefca380d02919dc2c6558bb6d8a5d - , ecc_g = Point 0x7b6aa5d85e572983e6fb32a7cdebc140 + , ecc_n = 0xfffffffe0000000075a30d1b9038a115 + , ecc_h = 1 + } + ) +getCurveByName SEC_p128r2 = + CurveFP $ + CurvePrime + 0xfffffffdffffffffffffffffffffffff + ( CurveCommon + { ecc_a = 0xd6031998d1b3bbfebf59cc9bbff9aee1 + , ecc_b = 0x5eeefca380d02919dc2c6558bb6d8a5d + , ecc_g = + Point + 0x7b6aa5d85e572983e6fb32a7cdebc140 0x27b6916a894d3aee7106fe805fc34b44 - , ecc_n = 0x3fffffff7fffffffbe0024720613b5a3 - , ecc_h = 4 - }) -getCurveByName SEC_p160k1 = CurveFP $ CurvePrime - 0x00fffffffffffffffffffffffffffffffeffffac73 - (CurveCommon - { ecc_a = 0x000000000000000000000000000000000000000000 - , ecc_b = 0x000000000000000000000000000000000000000007 - , ecc_g = Point 0x003b4c382ce37aa192a4019e763036f4f5dd4d7ebb + , ecc_n = 0x3fffffff7fffffffbe0024720613b5a3 + , ecc_h = 4 + } + ) +getCurveByName SEC_p160k1 = + CurveFP $ + CurvePrime + 0x00fffffffffffffffffffffffffffffffeffffac73 + ( CurveCommon + { ecc_a = 0x000000000000000000000000000000000000000000 + , ecc_b = 0x000000000000000000000000000000000000000007 + , ecc_g = + Point + 0x003b4c382ce37aa192a4019e763036f4f5dd4d7ebb 0x00938cf935318fdced6bc28286531733c3f03c4fee - , ecc_n = 0x0100000000000000000001b8fa16dfab9aca16b6b3 - , ecc_h = 1 - }) -getCurveByName SEC_p160r1 = CurveFP $ CurvePrime - 0x00ffffffffffffffffffffffffffffffff7fffffff - (CurveCommon - { ecc_a = 0x00ffffffffffffffffffffffffffffffff7ffffffc - , ecc_b = 0x001c97befc54bd7a8b65acf89f81d4d4adc565fa45 - , ecc_g = Point 0x004a96b5688ef573284664698968c38bb913cbfc82 + , ecc_n = 0x0100000000000000000001b8fa16dfab9aca16b6b3 + , ecc_h = 1 + } + ) +getCurveByName SEC_p160r1 = + CurveFP $ + CurvePrime + 0x00ffffffffffffffffffffffffffffffff7fffffff + ( CurveCommon + { ecc_a = 0x00ffffffffffffffffffffffffffffffff7ffffffc + , ecc_b = 0x001c97befc54bd7a8b65acf89f81d4d4adc565fa45 + , ecc_g = + Point + 0x004a96b5688ef573284664698968c38bb913cbfc82 0x0023a628553168947d59dcc912042351377ac5fb32 - , ecc_n = 0x0100000000000000000001f4c8f927aed3ca752257 - , ecc_h = 1 - }) -getCurveByName SEC_p160r2 = CurveFP $ CurvePrime - 0x00fffffffffffffffffffffffffffffffeffffac73 - (CurveCommon - { ecc_a = 0x00fffffffffffffffffffffffffffffffeffffac70 - , ecc_b = 0x00b4e134d3fb59eb8bab57274904664d5af50388ba - , ecc_g = Point 0x0052dcb034293a117e1f4ff11b30f7199d3144ce6d + , ecc_n = 0x0100000000000000000001f4c8f927aed3ca752257 + , ecc_h = 1 + } + ) +getCurveByName SEC_p160r2 = + CurveFP $ + CurvePrime + 0x00fffffffffffffffffffffffffffffffeffffac73 + ( CurveCommon + { ecc_a = 0x00fffffffffffffffffffffffffffffffeffffac70 + , ecc_b = 0x00b4e134d3fb59eb8bab57274904664d5af50388ba + , ecc_g = + Point + 0x0052dcb034293a117e1f4ff11b30f7199d3144ce6d 0x00feaffef2e331f296e071fa0df9982cfea7d43f2e - , ecc_n = 0x0100000000000000000000351ee786a818f3a1a16b - , ecc_h = 1 - }) -getCurveByName SEC_p192k1 = CurveFP $ CurvePrime - 0xfffffffffffffffffffffffffffffffffffffffeffffee37 - (CurveCommon - { ecc_a = 0x000000000000000000000000000000000000000000000000 - , ecc_b = 0x000000000000000000000000000000000000000000000003 - , ecc_g = Point 0xdb4ff10ec057e9ae26b07d0280b7f4341da5d1b1eae06c7d + , ecc_n = 0x0100000000000000000000351ee786a818f3a1a16b + , ecc_h = 1 + } + ) +getCurveByName SEC_p192k1 = + CurveFP $ + CurvePrime + 0xfffffffffffffffffffffffffffffffffffffffeffffee37 + ( CurveCommon + { ecc_a = 0x000000000000000000000000000000000000000000000000 + , ecc_b = 0x000000000000000000000000000000000000000000000003 + , ecc_g = + Point + 0xdb4ff10ec057e9ae26b07d0280b7f4341da5d1b1eae06c7d 0x9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d - , ecc_n = 0xfffffffffffffffffffffffe26f2fc170f69466a74defd8d - , ecc_h = 1 - }) -getCurveByName SEC_p192r1 = CurveFP $ CurvePrime - 0xfffffffffffffffffffffffffffffffeffffffffffffffff - (CurveCommon - { ecc_a = 0xfffffffffffffffffffffffffffffffefffffffffffffffc - , ecc_b = 0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1 - , ecc_g = Point 0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012 + , ecc_n = 0xfffffffffffffffffffffffe26f2fc170f69466a74defd8d + , ecc_h = 1 + } + ) +getCurveByName SEC_p192r1 = + CurveFP $ + CurvePrime + 0xfffffffffffffffffffffffffffffffeffffffffffffffff + ( CurveCommon + { ecc_a = 0xfffffffffffffffffffffffffffffffefffffffffffffffc + , ecc_b = 0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1 + , ecc_g = + Point + 0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012 0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811 - , ecc_n = 0xffffffffffffffffffffffff99def836146bc9b1b4d22831 - , ecc_h = 1 - }) -getCurveByName SEC_p224k1 = CurveFP $ CurvePrime - 0x00fffffffffffffffffffffffffffffffffffffffffffffffeffffe56d - (CurveCommon - { ecc_a = 0x0000000000000000000000000000000000000000000000000000000000 - , ecc_b = 0x0000000000000000000000000000000000000000000000000000000005 - , ecc_g = Point 0x00a1455b334df099df30fc28a169a467e9e47075a90f7e650eb6b7a45c + , ecc_n = 0xffffffffffffffffffffffff99def836146bc9b1b4d22831 + , ecc_h = 1 + } + ) +getCurveByName SEC_p224k1 = + CurveFP $ + CurvePrime + 0x00fffffffffffffffffffffffffffffffffffffffffffffffeffffe56d + ( CurveCommon + { ecc_a = 0x0000000000000000000000000000000000000000000000000000000000 + , ecc_b = 0x0000000000000000000000000000000000000000000000000000000005 + , ecc_g = + Point + 0x00a1455b334df099df30fc28a169a467e9e47075a90f7e650eb6b7a45c 0x007e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5 - , ecc_n = 0x010000000000000000000000000001dce8d2ec6184caf0a971769fb1f7 - , ecc_h = 1 - }) -getCurveByName SEC_p224r1 = CurveFP $ CurvePrime - 0xffffffffffffffffffffffffffffffff000000000000000000000001 - (CurveCommon - { ecc_a = 0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe - , ecc_b = 0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4 - , ecc_g = Point 0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21 + , ecc_n = 0x010000000000000000000000000001dce8d2ec6184caf0a971769fb1f7 + , ecc_h = 1 + } + ) +getCurveByName SEC_p224r1 = + CurveFP $ + CurvePrime + 0xffffffffffffffffffffffffffffffff000000000000000000000001 + ( CurveCommon + { ecc_a = 0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe + , ecc_b = 0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4 + , ecc_g = + Point + 0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21 0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34 - , ecc_n = 0xffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d - , ecc_h = 1 - }) -getCurveByName SEC_p256k1 = CurveFP $ CurvePrime - 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f - (CurveCommon - { ecc_a = 0x0000000000000000000000000000000000000000000000000000000000000000 - , ecc_b = 0x0000000000000000000000000000000000000000000000000000000000000007 - , ecc_g = Point 0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 + , ecc_n = 0xffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d + , ecc_h = 1 + } + ) +getCurveByName SEC_p256k1 = + CurveFP $ + CurvePrime + 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f + ( CurveCommon + { ecc_a = 0x0000000000000000000000000000000000000000000000000000000000000000 + , ecc_b = 0x0000000000000000000000000000000000000000000000000000000000000007 + , ecc_g = + Point + 0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8 - , ecc_n = 0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141 - , ecc_h = 1 - }) -getCurveByName SEC_p256r1 = CurveFP $ CurvePrime - 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff - (CurveCommon - { ecc_a = 0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc - , ecc_b = 0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b - , ecc_g = Point 0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296 + , ecc_n = 0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141 + , ecc_h = 1 + } + ) +getCurveByName SEC_p256r1 = + CurveFP $ + CurvePrime + 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff + ( CurveCommon + { ecc_a = 0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc + , ecc_b = 0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b + , ecc_g = + Point + 0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296 0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5 - , ecc_n = 0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551 - , ecc_h = 1 - }) -getCurveByName SEC_p384r1 = CurveFP $ CurvePrime - 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff - (CurveCommon - { ecc_a = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc - , ecc_b = 0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef - , ecc_g = Point 0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7 + , ecc_n = 0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551 + , ecc_h = 1 + } + ) +getCurveByName SEC_p384r1 = + CurveFP $ + CurvePrime + 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff + ( CurveCommon + { ecc_a = + 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc + , ecc_b = + 0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef + , ecc_g = + Point + 0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7 0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f - , ecc_n = 0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973 - , ecc_h = 1 - }) -getCurveByName SEC_p521r1 = CurveFP $ CurvePrime - 0x01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff - (CurveCommon - { ecc_a = 0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc - , ecc_b = 0x0051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00 - , ecc_g = Point 0x00c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66 + , ecc_n = + 0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973 + , ecc_h = 1 + } + ) +getCurveByName SEC_p521r1 = + CurveFP $ + CurvePrime + 0x01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff + ( CurveCommon + { ecc_a = + 0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc + , ecc_b = + 0x0051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00 + , ecc_g = + Point + 0x00c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66 0x011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650 - , ecc_n = 0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409 - , ecc_h = 1 - }) -getCurveByName SEC_t113r1 = CurveF2m $ CurveBinary - 0x020000000000000000000000000201 - (CurveCommon - { ecc_a = 0x003088250ca6e7c7fe649ce85820f7 - , ecc_b = 0x00e8bee4d3e2260744188be0e9c723 - , ecc_g = Point 0x009d73616f35f4ab1407d73562c10f + , ecc_n = + 0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409 + , ecc_h = 1 + } + ) +getCurveByName SEC_t113r1 = + CurveF2m $ + CurveBinary + 0x020000000000000000000000000201 + ( CurveCommon + { ecc_a = 0x003088250ca6e7c7fe649ce85820f7 + , ecc_b = 0x00e8bee4d3e2260744188be0e9c723 + , ecc_g = + Point + 0x009d73616f35f4ab1407d73562c10f 0x00a52830277958ee84d1315ed31886 - , ecc_n = 0x0100000000000000d9ccec8a39e56f - , ecc_h = 2 - }) -getCurveByName SEC_t113r2 = CurveF2m $ CurveBinary - 0x020000000000000000000000000201 - (CurveCommon - { ecc_a = 0x00689918dbec7e5a0dd6dfc0aa55c7 - , ecc_b = 0x0095e9a9ec9b297bd4bf36e059184f - , ecc_g = Point 0x01a57a6a7b26ca5ef52fcdb8164797 + , ecc_n = 0x0100000000000000d9ccec8a39e56f + , ecc_h = 2 + } + ) +getCurveByName SEC_t113r2 = + CurveF2m $ + CurveBinary + 0x020000000000000000000000000201 + ( CurveCommon + { ecc_a = 0x00689918dbec7e5a0dd6dfc0aa55c7 + , ecc_b = 0x0095e9a9ec9b297bd4bf36e059184f + , ecc_g = + Point + 0x01a57a6a7b26ca5ef52fcdb8164797 0x00b3adc94ed1fe674c06e695baba1d - , ecc_n = 0x010000000000000108789b2496af93 - , ecc_h = 2 - }) -getCurveByName SEC_t131r1 = CurveF2m $ CurveBinary - 0x080000000000000000000000000000010d - (CurveCommon - { ecc_a = 0x07a11b09a76b562144418ff3ff8c2570b8 - , ecc_b = 0x0217c05610884b63b9c6c7291678f9d341 - , ecc_g = Point 0x0081baf91fdf9833c40f9c181343638399 + , ecc_n = 0x010000000000000108789b2496af93 + , ecc_h = 2 + } + ) +getCurveByName SEC_t131r1 = + CurveF2m $ + CurveBinary + 0x080000000000000000000000000000010d + ( CurveCommon + { ecc_a = 0x07a11b09a76b562144418ff3ff8c2570b8 + , ecc_b = 0x0217c05610884b63b9c6c7291678f9d341 + , ecc_g = + Point + 0x0081baf91fdf9833c40f9c181343638399 0x078c6e7ea38c001f73c8134b1b4ef9e150 - , ecc_n = 0x0400000000000000023123953a9464b54d - , ecc_h = 2 - }) -getCurveByName SEC_t131r2 = CurveF2m $ CurveBinary - 0x080000000000000000000000000000010d - (CurveCommon - { ecc_a = 0x03e5a88919d7cafcbf415f07c2176573b2 - , ecc_b = 0x04b8266a46c55657ac734ce38f018f2192 - , ecc_g = Point 0x0356dcd8f2f95031ad652d23951bb366a8 + , ecc_n = 0x0400000000000000023123953a9464b54d + , ecc_h = 2 + } + ) +getCurveByName SEC_t131r2 = + CurveF2m $ + CurveBinary + 0x080000000000000000000000000000010d + ( CurveCommon + { ecc_a = 0x03e5a88919d7cafcbf415f07c2176573b2 + , ecc_b = 0x04b8266a46c55657ac734ce38f018f2192 + , ecc_g = + Point + 0x0356dcd8f2f95031ad652d23951bb366a8 0x0648f06d867940a5366d9e265de9eb240f - , ecc_n = 0x0400000000000000016954a233049ba98f - , ecc_h = 2 - }) -getCurveByName SEC_t163k1 = CurveF2m $ CurveBinary - 0x0800000000000000000000000000000000000000c9 - (CurveCommon - { ecc_a = 0x000000000000000000000000000000000000000001 - , ecc_b = 0x000000000000000000000000000000000000000001 - , ecc_g = Point 0x02fe13c0537bbc11acaa07d793de4e6d5e5c94eee8 + , ecc_n = 0x0400000000000000016954a233049ba98f + , ecc_h = 2 + } + ) +getCurveByName SEC_t163k1 = + CurveF2m $ + CurveBinary + 0x0800000000000000000000000000000000000000c9 + ( CurveCommon + { ecc_a = 0x000000000000000000000000000000000000000001 + , ecc_b = 0x000000000000000000000000000000000000000001 + , ecc_g = + Point + 0x02fe13c0537bbc11acaa07d793de4e6d5e5c94eee8 0x0289070fb05d38ff58321f2e800536d538ccdaa3d9 - , ecc_n = 0x04000000000000000000020108a2e0cc0d99f8a5ef - , ecc_h = 2 - }) -getCurveByName SEC_t163r1 = CurveF2m $ CurveBinary - 0x0800000000000000000000000000000000000000c9 - (CurveCommon - { ecc_a = 0x07b6882caaefa84f9554ff8428bd88e246d2782ae2 - , ecc_b = 0x0713612dcddcb40aab946bda29ca91f73af958afd9 - , ecc_g = Point 0x0369979697ab43897789566789567f787a7876a654 + , ecc_n = 0x04000000000000000000020108a2e0cc0d99f8a5ef + , ecc_h = 2 + } + ) +getCurveByName SEC_t163r1 = + CurveF2m $ + CurveBinary + 0x0800000000000000000000000000000000000000c9 + ( CurveCommon + { ecc_a = 0x07b6882caaefa84f9554ff8428bd88e246d2782ae2 + , ecc_b = 0x0713612dcddcb40aab946bda29ca91f73af958afd9 + , ecc_g = + Point + 0x0369979697ab43897789566789567f787a7876a654 0x00435edb42efafb2989d51fefce3c80988f41ff883 - , ecc_n = 0x03ffffffffffffffffffff48aab689c29ca710279b - , ecc_h = 2 - }) -getCurveByName SEC_t163r2 = CurveF2m $ CurveBinary - 0x0800000000000000000000000000000000000000c9 - (CurveCommon - { ecc_a = 0x000000000000000000000000000000000000000001 - , ecc_b = 0x020a601907b8c953ca1481eb10512f78744a3205fd - , ecc_g = Point 0x03f0eba16286a2d57ea0991168d4994637e8343e36 + , ecc_n = 0x03ffffffffffffffffffff48aab689c29ca710279b + , ecc_h = 2 + } + ) +getCurveByName SEC_t163r2 = + CurveF2m $ + CurveBinary + 0x0800000000000000000000000000000000000000c9 + ( CurveCommon + { ecc_a = 0x000000000000000000000000000000000000000001 + , ecc_b = 0x020a601907b8c953ca1481eb10512f78744a3205fd + , ecc_g = + Point + 0x03f0eba16286a2d57ea0991168d4994637e8343e36 0x00d51fbc6c71a0094fa2cdd545b11c5c0c797324f1 - , ecc_n = 0x040000000000000000000292fe77e70c12a4234c33 - , ecc_h = 2 - }) -getCurveByName SEC_t193r1 = CurveF2m $ CurveBinary - 0x02000000000000000000000000000000000000000000008001 - (CurveCommon - { ecc_a = 0x0017858feb7a98975169e171f77b4087de098ac8a911df7b01 - , ecc_b = 0x00fdfb49bfe6c3a89facadaa7a1e5bbc7cc1c2e5d831478814 - , ecc_g = Point 0x01f481bc5f0ff84a74ad6cdf6fdef4bf6179625372d8c0c5e1 + , ecc_n = 0x040000000000000000000292fe77e70c12a4234c33 + , ecc_h = 2 + } + ) +getCurveByName SEC_t193r1 = + CurveF2m $ + CurveBinary + 0x02000000000000000000000000000000000000000000008001 + ( CurveCommon + { ecc_a = 0x0017858feb7a98975169e171f77b4087de098ac8a911df7b01 + , ecc_b = 0x00fdfb49bfe6c3a89facadaa7a1e5bbc7cc1c2e5d831478814 + , ecc_g = + Point + 0x01f481bc5f0ff84a74ad6cdf6fdef4bf6179625372d8c0c5e1 0x0025e399f2903712ccf3ea9e3a1ad17fb0b3201b6af7ce1b05 - , ecc_n = 0x01000000000000000000000000c7f34a778f443acc920eba49 - , ecc_h = 2 - }) -getCurveByName SEC_t193r2 = CurveF2m $ CurveBinary - 0x02000000000000000000000000000000000000000000008001 - (CurveCommon - { ecc_a = 0x0163f35a5137c2ce3ea6ed8667190b0bc43ecd69977702709b - , ecc_b = 0x00c9bb9e8927d4d64c377e2ab2856a5b16e3efb7f61d4316ae - , ecc_g = Point 0x00d9b67d192e0367c803f39e1a7e82ca14a651350aae617e8f + , ecc_n = 0x01000000000000000000000000c7f34a778f443acc920eba49 + , ecc_h = 2 + } + ) +getCurveByName SEC_t193r2 = + CurveF2m $ + CurveBinary + 0x02000000000000000000000000000000000000000000008001 + ( CurveCommon + { ecc_a = 0x0163f35a5137c2ce3ea6ed8667190b0bc43ecd69977702709b + , ecc_b = 0x00c9bb9e8927d4d64c377e2ab2856a5b16e3efb7f61d4316ae + , ecc_g = + Point + 0x00d9b67d192e0367c803f39e1a7e82ca14a651350aae617e8f 0x01ce94335607c304ac29e7defbd9ca01f596f927224cdecf6c - , ecc_n = 0x010000000000000000000000015aab561b005413ccd4ee99d5 - , ecc_h = 2 - }) -getCurveByName SEC_t233k1 = CurveF2m $ CurveBinary - 0x020000000000000000000000000000000000000004000000000000000001 - (CurveCommon - { ecc_a = 0x000000000000000000000000000000000000000000000000000000000000 - , ecc_b = 0x000000000000000000000000000000000000000000000000000000000001 - , ecc_g = Point 0x017232ba853a7e731af129f22ff4149563a419c26bf50a4c9d6eefad6126 + , ecc_n = 0x010000000000000000000000015aab561b005413ccd4ee99d5 + , ecc_h = 2 + } + ) +getCurveByName SEC_t233k1 = + CurveF2m $ + CurveBinary + 0x020000000000000000000000000000000000000004000000000000000001 + ( CurveCommon + { ecc_a = 0x000000000000000000000000000000000000000000000000000000000000 + , ecc_b = 0x000000000000000000000000000000000000000000000000000000000001 + , ecc_g = + Point + 0x017232ba853a7e731af129f22ff4149563a419c26bf50a4c9d6eefad6126 0x01db537dece819b7f70f555a67c427a8cd9bf18aeb9b56e0c11056fae6a3 - , ecc_n = 0x008000000000000000000000000000069d5bb915bcd46efb1ad5f173abdf - , ecc_h = 4 - }) -getCurveByName SEC_t233r1 = CurveF2m $ CurveBinary - 0x020000000000000000000000000000000000000004000000000000000001 - (CurveCommon - { ecc_a = 0x000000000000000000000000000000000000000000000000000000000001 - , ecc_b = 0x0066647ede6c332c7f8c0923bb58213b333b20e9ce4281fe115f7d8f90ad - , ecc_g = Point 0x00fac9dfcbac8313bb2139f1bb755fef65bc391f8b36f8f8eb7371fd558b + , ecc_n = 0x008000000000000000000000000000069d5bb915bcd46efb1ad5f173abdf + , ecc_h = 4 + } + ) +getCurveByName SEC_t233r1 = + CurveF2m $ + CurveBinary + 0x020000000000000000000000000000000000000004000000000000000001 + ( CurveCommon + { ecc_a = 0x000000000000000000000000000000000000000000000000000000000001 + , ecc_b = 0x0066647ede6c332c7f8c0923bb58213b333b20e9ce4281fe115f7d8f90ad + , ecc_g = + Point + 0x00fac9dfcbac8313bb2139f1bb755fef65bc391f8b36f8f8eb7371fd558b 0x01006a08a41903350678e58528bebf8a0beff867a7ca36716f7e01f81052 - , ecc_n = 0x01000000000000000000000000000013e974e72f8a6922031d2603cfe0d7 - , ecc_h = 2 - }) -getCurveByName SEC_t239k1 = CurveF2m $ CurveBinary - 0x800000000000000000004000000000000000000000000000000000000001 - (CurveCommon - { ecc_a = 0x000000000000000000000000000000000000000000000000000000000000 - , ecc_b = 0x000000000000000000000000000000000000000000000000000000000001 - , ecc_g = Point 0x29a0b6a887a983e9730988a68727a8b2d126c44cc2cc7b2a6555193035dc + , ecc_n = 0x01000000000000000000000000000013e974e72f8a6922031d2603cfe0d7 + , ecc_h = 2 + } + ) +getCurveByName SEC_t239k1 = + CurveF2m $ + CurveBinary + 0x800000000000000000004000000000000000000000000000000000000001 + ( CurveCommon + { ecc_a = 0x000000000000000000000000000000000000000000000000000000000000 + , ecc_b = 0x000000000000000000000000000000000000000000000000000000000001 + , ecc_g = + Point + 0x29a0b6a887a983e9730988a68727a8b2d126c44cc2cc7b2a6555193035dc 0x76310804f12e549bdb011c103089e73510acb275fc312a5dc6b76553f0ca - , ecc_n = 0x2000000000000000000000000000005a79fec67cb6e91f1c1da800e478a5 - , ecc_h = 4 - }) -getCurveByName SEC_t283k1 = CurveF2m $ CurveBinary - 0x0800000000000000000000000000000000000000000000000000000000000000000010a1 - (CurveCommon - { ecc_a = 0x000000000000000000000000000000000000000000000000000000000000000000000000 - , ecc_b = 0x000000000000000000000000000000000000000000000000000000000000000000000001 - , ecc_g = Point 0x0503213f78ca44883f1a3b8162f188e553cd265f23c1567a16876913b0c2ac2458492836 + , ecc_n = 0x2000000000000000000000000000005a79fec67cb6e91f1c1da800e478a5 + , ecc_h = 4 + } + ) +getCurveByName SEC_t283k1 = + CurveF2m $ + CurveBinary + 0x0800000000000000000000000000000000000000000000000000000000000000000010a1 + ( CurveCommon + { ecc_a = + 0x000000000000000000000000000000000000000000000000000000000000000000000000 + , ecc_b = + 0x000000000000000000000000000000000000000000000000000000000000000000000001 + , ecc_g = + Point + 0x0503213f78ca44883f1a3b8162f188e553cd265f23c1567a16876913b0c2ac2458492836 0x01ccda380f1c9e318d90f95d07e5426fe87e45c0e8184698e45962364e34116177dd2259 - , ecc_n = 0x01ffffffffffffffffffffffffffffffffffe9ae2ed07577265dff7f94451e061e163c61 - , ecc_h = 4 - }) -getCurveByName SEC_t283r1 = CurveF2m $ CurveBinary - 0x0800000000000000000000000000000000000000000000000000000000000000000010a1 - (CurveCommon - { ecc_a = 0x000000000000000000000000000000000000000000000000000000000000000000000001 - , ecc_b = 0x027b680ac8b8596da5a4af8a19a0303fca97fd7645309fa2a581485af6263e313b79a2f5 - , ecc_g = Point 0x05f939258db7dd90e1934f8c70b0dfec2eed25b8557eac9c80e2e198f8cdbecd86b12053 + , ecc_n = + 0x01ffffffffffffffffffffffffffffffffffe9ae2ed07577265dff7f94451e061e163c61 + , ecc_h = 4 + } + ) +getCurveByName SEC_t283r1 = + CurveF2m $ + CurveBinary + 0x0800000000000000000000000000000000000000000000000000000000000000000010a1 + ( CurveCommon + { ecc_a = + 0x000000000000000000000000000000000000000000000000000000000000000000000001 + , ecc_b = + 0x027b680ac8b8596da5a4af8a19a0303fca97fd7645309fa2a581485af6263e313b79a2f5 + , ecc_g = + Point + 0x05f939258db7dd90e1934f8c70b0dfec2eed25b8557eac9c80e2e198f8cdbecd86b12053 0x03676854fe24141cb98fe6d4b20d02b4516ff702350eddb0826779c813f0df45be8112f4 - , ecc_n = 0x03ffffffffffffffffffffffffffffffffffef90399660fc938a90165b042a7cefadb307 - , ecc_h = 2 - }) -getCurveByName SEC_t409k1 = CurveF2m $ CurveBinary - 0x02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001 - (CurveCommon - { ecc_a = 0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 - , ecc_b = 0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 - , ecc_g = Point 0x0060f05f658f49c1ad3ab1890f7184210efd0987e307c84c27accfb8f9f67cc2c460189eb5aaaa62ee222eb1b35540cfe9023746 + , ecc_n = + 0x03ffffffffffffffffffffffffffffffffffef90399660fc938a90165b042a7cefadb307 + , ecc_h = 2 + } + ) +getCurveByName SEC_t409k1 = + CurveF2m $ + CurveBinary + 0x02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001 + ( CurveCommon + { ecc_a = + 0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 + , ecc_b = + 0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 + , ecc_g = + Point + 0x0060f05f658f49c1ad3ab1890f7184210efd0987e307c84c27accfb8f9f67cc2c460189eb5aaaa62ee222eb1b35540cfe9023746 0x01e369050b7c4e42acba1dacbf04299c3460782f918ea427e6325165e9ea10e3da5f6c42e9c55215aa9ca27a5863ec48d8e0286b - , ecc_n = 0x007ffffffffffffffffffffffffffffffffffffffffffffffffffe5f83b2d4ea20400ec4557d5ed3e3e7ca5b4b5c83b8e01e5fcf - , ecc_h = 4 - }) -getCurveByName SEC_t409r1 = CurveF2m $ CurveBinary - 0x02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001 - (CurveCommon - { ecc_a = 0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 - , ecc_b = 0x0021a5c2c8ee9feb5c4b9a753b7b476b7fd6422ef1f3dd674761fa99d6ac27c8a9a197b272822f6cd57a55aa4f50ae317b13545f - , ecc_g = Point 0x015d4860d088ddb3496b0c6064756260441cde4af1771d4db01ffe5b34e59703dc255a868a1180515603aeab60794e54bb7996a7 + , ecc_n = + 0x007ffffffffffffffffffffffffffffffffffffffffffffffffffe5f83b2d4ea20400ec4557d5ed3e3e7ca5b4b5c83b8e01e5fcf + , ecc_h = 4 + } + ) +getCurveByName SEC_t409r1 = + CurveF2m $ + CurveBinary + 0x02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001 + ( CurveCommon + { ecc_a = + 0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 + , ecc_b = + 0x0021a5c2c8ee9feb5c4b9a753b7b476b7fd6422ef1f3dd674761fa99d6ac27c8a9a197b272822f6cd57a55aa4f50ae317b13545f + , ecc_g = + Point + 0x015d4860d088ddb3496b0c6064756260441cde4af1771d4db01ffe5b34e59703dc255a868a1180515603aeab60794e54bb7996a7 0x0061b1cfab6be5f32bbfa78324ed106a7636b9c5a7bd198d0158aa4f5488d08f38514f1fdf4b4f40d2181b3681c364ba0273c706 - , ecc_n = 0x010000000000000000000000000000000000000000000000000001e2aad6a612f33307be5fa47c3c9e052f838164cd37d9a21173 - , ecc_h = 2 - }) -getCurveByName SEC_t571k1 = CurveF2m $ CurveBinary - 0x080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425 - (CurveCommon - { ecc_a = 0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 - , ecc_b = 0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 - , ecc_g = Point 0x026eb7a859923fbc82189631f8103fe4ac9ca2970012d5d46024804801841ca44370958493b205e647da304db4ceb08cbbd1ba39494776fb988b47174dca88c7e2945283a01c8972 + , ecc_n = + 0x010000000000000000000000000000000000000000000000000001e2aad6a612f33307be5fa47c3c9e052f838164cd37d9a21173 + , ecc_h = 2 + } + ) +getCurveByName SEC_t571k1 = + CurveF2m $ + CurveBinary + 0x080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425 + ( CurveCommon + { ecc_a = + 0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 + , ecc_b = + 0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 + , ecc_g = + Point + 0x026eb7a859923fbc82189631f8103fe4ac9ca2970012d5d46024804801841ca44370958493b205e647da304db4ceb08cbbd1ba39494776fb988b47174dca88c7e2945283a01c8972 0x0349dc807f4fbf374f4aeade3bca95314dd58cec9f307a54ffc61efc006d8a2c9d4979c0ac44aea74fbebbb9f772aedcb620b01a7ba7af1b320430c8591984f601cd4c143ef1c7a3 - , ecc_n = 0x020000000000000000000000000000000000000000000000000000000000000000000000131850e1f19a63e4b391a8db917f4138b630d84be5d639381e91deb45cfe778f637c1001 - , ecc_h = 4 - }) -getCurveByName SEC_t571r1 = CurveF2m $ CurveBinary - 0x080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425 - (CurveCommon - { ecc_a = 0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 - , ecc_b = 0x02f40e7e2221f295de297117b7f3d62f5c6a97ffcb8ceff1cd6ba8ce4a9a18ad84ffabbd8efa59332be7ad6756a66e294afd185a78ff12aa520e4de739baca0c7ffeff7f2955727a - , ecc_g = Point 0x0303001d34b856296c16c0d40d3cd7750a93d1d2955fa80aa5f40fc8db7b2abdbde53950f4c0d293cdd711a35b67fb1499ae60038614f1394abfa3b4c850d927e1e7769c8eec2d19 + , ecc_n = + 0x020000000000000000000000000000000000000000000000000000000000000000000000131850e1f19a63e4b391a8db917f4138b630d84be5d639381e91deb45cfe778f637c1001 + , ecc_h = 4 + } + ) +getCurveByName SEC_t571r1 = + CurveF2m $ + CurveBinary + 0x080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425 + ( CurveCommon + { ecc_a = + 0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 + , ecc_b = + 0x02f40e7e2221f295de297117b7f3d62f5c6a97ffcb8ceff1cd6ba8ce4a9a18ad84ffabbd8efa59332be7ad6756a66e294afd185a78ff12aa520e4de739baca0c7ffeff7f2955727a + , ecc_g = + Point + 0x0303001d34b856296c16c0d40d3cd7750a93d1d2955fa80aa5f40fc8db7b2abdbde53950f4c0d293cdd711a35b67fb1499ae60038614f1394abfa3b4c850d927e1e7769c8eec2d19 0x037bf27342da639b6dccfffeb73d69d78c6c27a6009cbbca1980f8533921e8a684423e43bab08a576291af8f461bb2a8b3531d2f0485c19b16e2f1516e23dd3c1a4827af1b8ac15b - , ecc_n = 0x03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe661ce18ff55987308059b186823851ec7dd9ca1161de93d5174d66e8382e9bb2fe84e47 - , ecc_h = 2 - }) + , ecc_n = + 0x03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe661ce18ff55987308059b186823851ec7dd9ca1161de93d5174d66e8382e9bb2fe84e47 + , ecc_h = 2 + } + ) diff --git a/Crypto/PubKey/ECDSA.hs b/Crypto/PubKey/ECDSA.hs --- a/Crypto/PubKey/ECDSA.hs +++ b/Crypto/PubKey/ECDSA.hs @@ -1,3 +1,10 @@ +{-# LANGUAGE BangPatterns #-} +{-# LANGUAGE FlexibleContexts #-} +{-# LANGUAGE ScopedTypeVariables #-} +{-# LANGUAGE StandaloneDeriving #-} +{-# LANGUAGE TypeFamilies #-} +{-# LANGUAGE UndecidableInstances #-} + -- | -- Module : Crypto.PubKey.ECDSA -- License : BSD-style @@ -15,60 +22,66 @@ -- Signature operations with P-384 and P-521 may leak the private key. -- -- Signature verification should be safe for all curves. -{-# LANGUAGE BangPatterns #-} -{-# LANGUAGE FlexibleContexts #-} -{-# LANGUAGE ScopedTypeVariables #-} -{-# LANGUAGE StandaloneDeriving #-} -{-# LANGUAGE TypeFamilies #-} -{-# LANGUAGE UndecidableInstances #-} -module Crypto.PubKey.ECDSA - ( EllipticCurveECDSA (..) +module Crypto.PubKey.ECDSA ( + EllipticCurveECDSA (..), + -- * Public keys - , PublicKey - , encodePublic - , decodePublic - , toPublic + PublicKey, + encodePublic, + decodePublic, + toPublic, + -- * Private keys - , PrivateKey - , encodePrivate - , decodePrivate + PrivateKey, + encodePrivate, + decodePrivate, + -- * Signatures - , Signature(..) - , signatureFromIntegers - , signatureToIntegers + Signature (..), + signatureFromIntegers, + signatureToIntegers, + -- * Generation and verification - , signWith - , signDigestWith - , sign - , signDigest - , verify - , verifyDigest - ) where + signWith, + signDigestWith, + sign, + signDigest, + verify, + verifyDigest, -import Control.Monad + -- * Deterministic nonces + deterministicNonce, + signDeterministic, + signDigestDeterministic, +) where -import Crypto.ECC +import Control.Monad + +import Crypto.ECC import qualified Crypto.ECC.Simple.Types as Simple -import Crypto.Error -import Crypto.Hash -import Crypto.Hash.Types -import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess) -import Crypto.Internal.Imports -import Crypto.Number.ModArithmetic (inverseFermat) +import Crypto.Error +import Crypto.Hash +import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess) +import Crypto.Internal.Imports +import Crypto.Number.Generate (generatePrefix) +import Crypto.Number.ModArithmetic (inverseSafe) import qualified Crypto.PubKey.ECC.P256 as P256 -import Crypto.Random.Types +import Crypto.Random.HmacDRG (initial, update) +import Crypto.Random.Types -import Data.Bits +import Data.Bits import qualified Data.ByteArray as B -import Data.Data +import Data.Data -import Foreign.Ptr (Ptr) -import Foreign.Storable (peekByteOff, pokeByteOff) +import Foreign.Ptr (Ptr) +import Foreign.Storable (peekByteOff, pokeByteOff) -- | Represent a ECDSA signature namely R and S. data Signature curve = Signature - { sign_r :: Scalar curve -- ^ ECDSA r - , sign_s :: Scalar curve -- ^ ECDSA s + { sign_r :: Scalar curve + -- ^ ECDSA r + , sign_s :: Scalar curve + -- ^ ECDSA s } deriving instance Eq (Scalar curve) => Eq (Signature curve) @@ -99,15 +112,17 @@ pointX :: proxy curve -> Point curve -> Maybe (Scalar curve) instance EllipticCurveECDSA Curve_P256R1 where - scalarIsValid _ s = not (P256.scalarIsZero s) - && P256.scalarCmp s P256.scalarN == LT + scalarIsValid _ s = + not (P256.scalarIsZero s) + && P256.scalarCmp s P256.scalarN == LT scalarIsZero _ = P256.scalarIsZero - scalarInv _ s = let inv = P256.scalarInvSafe s - in if P256.scalarIsZero inv then Nothing else Just inv + scalarInv _ s = + let inv = P256.scalarInvSafe s + in if P256.scalarIsZero inv then Nothing else Just inv - pointX _ = P256.pointX + pointX _ = P256.pointX instance EllipticCurveECDSA Curve_P384R1 where scalarIsValid _ = ecScalarIsValid (Proxy :: Proxy Simple.SEC_p384r1) @@ -116,7 +131,7 @@ scalarInv _ = ecScalarInv (Proxy :: Proxy Simple.SEC_p384r1) - pointX _ = ecPointX (Proxy :: Proxy Simple.SEC_p384r1) + pointX _ = ecPointX (Proxy :: Proxy Simple.SEC_p384r1) instance EllipticCurveECDSA Curve_P521R1 where scalarIsValid _ = ecScalarIsValid (Proxy :: Proxy Simple.SEC_p521r1) @@ -125,12 +140,12 @@ scalarInv _ = ecScalarInv (Proxy :: Proxy Simple.SEC_p521r1) - pointX _ = ecPointX (Proxy :: Proxy Simple.SEC_p521r1) - + pointX _ = ecPointX (Proxy :: Proxy Simple.SEC_p521r1) -- | Create a signature from integers (R, S). -signatureFromIntegers :: EllipticCurveECDSA curve - => proxy curve -> (Integer, Integer) -> CryptoFailable (Signature curve) +signatureFromIntegers + :: EllipticCurveECDSA curve + => proxy curve -> (Integer, Integer) -> CryptoFailable (Signature curve) signatureFromIntegers prx (r, s) = liftA2 Signature (scalarFromInteger prx r) (scalarFromInteger prx s) @@ -138,41 +153,52 @@ -- -- The values can then be used to encode the signature to binary with -- ASN.1. -signatureToIntegers :: EllipticCurveECDSA curve - => proxy curve -> Signature curve -> (Integer, Integer) +signatureToIntegers + :: EllipticCurveECDSA curve + => proxy curve -> Signature curve -> (Integer, Integer) signatureToIntegers prx sig = (scalarToInteger prx $ sign_r sig, scalarToInteger prx $ sign_s sig) -- | Encode a public key into binary form, i.e. the uncompressed encoding -- referenced from section 2.2. -encodePublic :: (EllipticCurve curve, ByteArray bs) - => proxy curve -> PublicKey curve -> bs +encodePublic + :: (EllipticCurve curve, ByteArray bs) + => proxy curve -> PublicKey curve -> bs encodePublic = encodePoint -- | Try to decode the binary form of a public key. -decodePublic :: (EllipticCurve curve, ByteArray bs) - => proxy curve -> bs -> CryptoFailable (PublicKey curve) +decodePublic + :: (EllipticCurve curve, ByteArray bs) + => proxy curve -> bs -> CryptoFailable (PublicKey curve) decodePublic = decodePoint -- | Encode a private key into binary form, i.e. the @privateKey@ field -- described in . -encodePrivate :: (EllipticCurveECDSA curve, ByteArray bs) - => proxy curve -> PrivateKey curve -> bs +encodePrivate + :: (EllipticCurveECDSA curve, ByteArray bs) + => proxy curve -> PrivateKey curve -> bs encodePrivate = encodeScalar -- | Try to decode the binary form of a private key. -decodePrivate :: (EllipticCurveECDSA curve, ByteArray bs) - => proxy curve -> bs -> CryptoFailable (PrivateKey curve) +decodePrivate + :: (EllipticCurveECDSA curve, ByteArray bs) + => proxy curve -> bs -> CryptoFailable (PrivateKey curve) decodePrivate = decodeScalar -- | Create a public key from a private key. -toPublic :: EllipticCurveECDSA curve - => proxy curve -> PrivateKey curve -> PublicKey curve +toPublic + :: EllipticCurveECDSA curve + => proxy curve -> PrivateKey curve -> PublicKey curve toPublic = pointBaseSmul -- | Sign digest using the private key and an explicit k scalar. -signDigestWith :: (EllipticCurveECDSA curve, HashAlgorithm hash) - => proxy curve -> Scalar curve -> PrivateKey curve -> Digest hash -> Maybe (Signature curve) +signDigestWith + :: (EllipticCurveECDSA curve, HashAlgorithm hash) + => proxy curve + -> Scalar curve + -> PrivateKey curve + -> Digest hash + -> Maybe (Signature curve) signDigestWith prx k d digest = do let z = tHashDigest prx digest point = pointBaseSmul prx k @@ -183,90 +209,184 @@ return $ Signature r s -- | Sign message using the private key and an explicit k scalar. -signWith :: (EllipticCurveECDSA curve, ByteArrayAccess msg, HashAlgorithm hash) - => proxy curve -> Scalar curve -> PrivateKey curve -> hash -> msg -> Maybe (Signature curve) +signWith + :: (EllipticCurveECDSA curve, ByteArrayAccess msg, HashAlgorithm hash) + => proxy curve + -> Scalar curve + -> PrivateKey curve + -> hash + -> msg + -> Maybe (Signature curve) signWith prx k d hashAlg msg = signDigestWith prx k d (hashWith hashAlg msg) -- | Sign a digest using hash and private key. -signDigest :: (EllipticCurveECDSA curve, MonadRandom m, HashAlgorithm hash) - => proxy curve -> PrivateKey curve -> Digest hash -> m (Signature curve) +signDigest + :: (EllipticCurveECDSA curve, MonadRandom m, HashAlgorithm hash) + => proxy curve -> PrivateKey curve -> Digest hash -> m (Signature curve) signDigest prx pk digest = do k <- curveGenerateScalar prx case signDigestWith prx k pk digest of - Nothing -> signDigest prx pk digest + Nothing -> signDigest prx pk digest Just sig -> return sig -- | Sign a message using hash and private key. -sign :: (EllipticCurveECDSA curve, MonadRandom m, ByteArrayAccess msg, HashAlgorithm hash) - => proxy curve -> PrivateKey curve -> hash -> msg -> m (Signature curve) +sign + :: ( EllipticCurveECDSA curve + , MonadRandom m + , ByteArrayAccess msg + , HashAlgorithm hash + ) + => proxy curve -> PrivateKey curve -> hash -> msg -> m (Signature curve) sign prx pk hashAlg msg = signDigest prx pk (hashWith hashAlg msg) -- | Verify a digest using hash and public key. -verifyDigest :: (EllipticCurveECDSA curve, HashAlgorithm hash) - => proxy curve -> PublicKey curve -> Signature curve -> Digest hash -> Bool +verifyDigest + :: (EllipticCurveECDSA curve, HashAlgorithm hash) + => proxy curve -> PublicKey curve -> Signature curve -> Digest hash -> Bool verifyDigest prx q (Signature r s) digest | not (scalarIsValid prx r) = False | not (scalarIsValid prx s) = False | otherwise = maybe False (r ==) $ do w <- scalarInv prx s - let z = tHashDigest prx digest + let z = tHashDigest prx digest u1 = scalarMul prx z w u2 = scalarMul prx r w - x = pointsSmulVarTime prx u1 u2 q + x = pointsSmulVarTime prx u1 u2 q pointX prx x - -- Note: precondition q /= PointO is not tested because we assume - -- point decoding never decodes point at infinity. +-- Note: precondition q /= PointO is not tested because we assume +-- point decoding never decodes point at infinity. + -- | Verify a signature using hash and public key. -verify :: (EllipticCurveECDSA curve, ByteArrayAccess msg, HashAlgorithm hash) - => proxy curve -> hash -> PublicKey curve -> Signature curve -> msg -> Bool +verify + :: (EllipticCurveECDSA curve, ByteArrayAccess msg, HashAlgorithm hash) + => proxy curve -> hash -> PublicKey curve -> Signature curve -> msg -> Bool verify prx hashAlg q sig msg = verifyDigest prx q sig (hashWith hashAlg msg) -- | Truncate a digest based on curve order size. -tHashDigest :: (EllipticCurveECDSA curve, HashAlgorithm hash) - => proxy curve -> Digest hash -> Scalar curve -tHashDigest prx (Digest digest) = throwCryptoError $ decodeScalar prx encoded - where m = curveOrderBits prx - d = m - B.length digest * 8 - (n, r) = m `divMod` 8 - n' = if r > 0 then succ n else n +-- | Deterministic nonce generation according to RFC 6979. +-- +-- The nonce is derived from the private key and the message alone, so a +-- signature made this way needs no random number generator and cannot be the +-- one that repeats a nonce -- which, for ECDSA, hands over the private key. +-- +-- The hash used to seed the generator is given separately from the one the +-- message was digested with, as RFC 6979 allows. +-- +-- The last argument is what to do with a candidate nonce. It may answer +-- 'Nothing', in which case another candidate is drawn, which is what +-- 'signDigestDeterministic' does for the r or s that comes out zero: +-- +-- > deterministicNonce prx SHA256 priv digest (\k -> signDigestWith prx k priv digest) +deterministicNonce + :: (EllipticCurveECDSA curve, HashAlgorithm hashDRG, HashAlgorithm hashDigest) + => proxy curve + -> hashDRG + -> PrivateKey curve + -> Digest hashDigest + -> (Scalar curve -> Maybe a) + -> a +deterministicNonce prx alg d digest go = fst $ withDRG state run + where + state = update seed $ initial alg + -- RFC 6979 section 3.2 step d: int2octets(x) || bits2octets(h1). The + -- second is the truncated digest taken modulo the order, which is what + -- scalarAdd with zero does, its contract being to reduce there. + seed = + B.append (encodeScalar prx d) (encodeScalar prx z) + :: B.ScrubbedBytes + z = scalarAdd prx (tHashDigest prx digest) zeroScalar + zeroScalar = throwCryptoError $ scalarFromInteger prx 0 + run = do + k <- generatePrefix (curveOrderBits prx) + case scalarFromInteger prx k of + CryptoPassed s + | scalarIsValid prx s -> maybe run pure (go s) + _ -> run - encoded - | d > 0 = B.zero (n' - B.length digest) `B.append` digest - | d == 0 = digest - | r == 0 = B.take n digest - | otherwise = shiftBytes digest +-- | Sign a digest with a nonce derived from the private key and the digest, +-- as RFC 6979 says, rather than from a random number generator. +signDigestDeterministic + :: (EllipticCurveECDSA curve, HashAlgorithm hashDRG, HashAlgorithm hashDigest) + => proxy curve + -> hashDRG + -> PrivateKey curve + -> Digest hashDigest + -> Signature curve +signDigestDeterministic prx alg d digest = + deterministicNonce prx alg d digest $ \k -> signDigestWith prx k d digest - shiftBytes bs = B.allocAndFreeze n' $ \dst -> - B.withByteArray bs $ \src -> go dst src 0 0 +-- | Sign a message with a nonce derived from the private key and the message, +-- as RFC 6979 says, rather than from a random number generator. +signDeterministic + :: ( EllipticCurveECDSA curve + , HashAlgorithm hashDRG + , HashAlgorithm hash + , ByteArrayAccess msg + ) + => proxy curve + -> hashDRG + -> PrivateKey curve + -> hash + -> msg + -> Signature curve +signDeterministic prx alg d hashAlg msg = + signDigestDeterministic prx alg d (hashWith hashAlg msg) - go :: Ptr Word8 -> Ptr Word8 -> Word8 -> Int -> IO () - go dst src !a i - | i >= n' = return () - | otherwise = do - b <- peekByteOff src i - pokeByteOff dst i (unsafeShiftR b (8 - r) .|. unsafeShiftL a r) - go dst src b (succ i) +tHashDigest + :: (EllipticCurveECDSA curve, HashAlgorithm hash) + => proxy curve -> Digest hash -> Scalar curve +tHashDigest prx dig = throwCryptoError $ decodeScalar prx encoded + where + digest = B.convert dig :: B.Bytes + m = curveOrderBits prx + d = m - B.length digest * 8 + (n, r) = m `divMod` 8 + n' = if r > 0 then succ n else n + encoded + | d > 0 = B.zero (n' - B.length digest) `B.append` digest + | d == 0 = digest + | r == 0 = B.take n digest + | otherwise = shiftBytes digest + shiftBytes bs = B.allocAndFreeze n' $ \dst -> + B.withByteArray bs $ \src -> go dst src 0 0 + + go :: Ptr Word8 -> Ptr Word8 -> Word8 -> Int -> IO () + go dst src !a i + | i >= n' = return () + | otherwise = do + b <- peekByteOff src i + pokeByteOff dst i (unsafeShiftR b (8 - r) .|. unsafeShiftL a r) + go dst src b (succ i) + ecScalarIsValid :: Simple.Curve c => proxy c -> Simple.Scalar c -> Bool ecScalarIsValid prx (Simple.Scalar s) = s > 0 && s < n - where n = Simple.curveEccN $ Simple.curveParameters prx + where + n = Simple.curveEccN $ Simple.curveParameters prx -ecScalarIsZero :: forall curve . Simple.Curve curve - => Simple.Scalar curve -> Bool +ecScalarIsZero + :: forall curve + . Simple.Curve curve + => Simple.Scalar curve -> Bool ecScalarIsZero (Simple.Scalar a) = a == 0 -ecScalarInv :: Simple.Curve c - => proxy c -> Simple.Scalar c -> Maybe (Simple.Scalar c) -ecScalarInv prx (Simple.Scalar s) - | i == 0 = Nothing - | otherwise = Just $ Simple.Scalar i - where n = Simple.curveEccN $ Simple.curveParameters prx - i = inverseFermat s n +-- | 'inverseSafe' is the one that takes a fixed number of division steps +-- where the assembly for them is built, and checks whatever it gets by +-- multiplying out. It answers 'Nothing' exactly where the exponentiation +-- this used to do answered zero. +ecScalarInv + :: Simple.Curve c + => proxy c -> Simple.Scalar c -> Maybe (Simple.Scalar c) +ecScalarInv prx (Simple.Scalar s) = Simple.Scalar <$> inverseSafe s n + where + n = Simple.curveEccN $ Simple.curveParameters prx -ecPointX :: Simple.Curve c - => proxy c -> Simple.Point c -> Maybe (Simple.Scalar c) -ecPointX _ Simple.PointO = Nothing +ecPointX + :: Simple.Curve c + => proxy c -> Simple.Point c -> Maybe (Simple.Scalar c) +ecPointX _ Simple.PointO = Nothing ecPointX prx (Simple.Point x _) = Just (Simple.Scalar $ x `mod` n) - where n = Simple.curveEccN $ Simple.curveParameters prx + where + n = Simple.curveEccN $ Simple.curveParameters prx diff --git a/Crypto/PubKey/ECIES.hs b/Crypto/PubKey/ECIES.hs --- a/Crypto/PubKey/ECIES.hs +++ b/Crypto/PubKey/ECIES.hs @@ -18,31 +18,37 @@ -- This module doesn't provide any symmetric data encryption capability or any mean to derive -- cryptographic key material for a symmetric key from the shared secret. -- this is left to the user for now. --- -module Crypto.PubKey.ECIES - ( deriveEncrypt - , deriveDecrypt - ) where +module Crypto.PubKey.ECIES ( + deriveEncrypt, + deriveDecrypt, +) where -import Crypto.ECC -import Crypto.Error -import Crypto.Random +import Crypto.ECC +import Crypto.Error +import Crypto.Random -- | Generate random a new Shared secret and the associated point -- to do a ECIES style encryption -deriveEncrypt :: (MonadRandom randomly, EllipticCurveDH curve) - => proxy curve -- ^ representation of the curve - -> Point curve -- ^ the public key of the receiver - -> randomly (CryptoFailable (Point curve, SharedSecret)) +deriveEncrypt + :: (MonadRandom randomly, EllipticCurveDH curve) + => proxy curve + -- ^ representation of the curve + -> Point curve + -- ^ the public key of the receiver + -> randomly (CryptoFailable (Point curve, SharedSecret)) deriveEncrypt proxy pub = do (KeyPair rPoint rScalar) <- curveGenerateKeyPair proxy return $ (\s -> (rPoint, s)) `fmap` ecdh proxy rScalar pub -- | Derive the shared secret with the receiver key -- and the R point of the scheme. -deriveDecrypt :: EllipticCurveDH curve - => proxy curve -- ^ representation of the curve - -> Point curve -- ^ The received R (supposedly, randomly generated on the encrypt side) - -> Scalar curve -- ^ The secret key of the receiver - -> CryptoFailable SharedSecret +deriveDecrypt + :: EllipticCurveDH curve + => proxy curve + -- ^ representation of the curve + -> Point curve + -- ^ The received R (supposedly, randomly generated on the encrypt side) + -> Scalar curve + -- ^ The secret key of the receiver + -> CryptoFailable SharedSecret deriveDecrypt proxy point secret = ecdh proxy secret point diff --git a/Crypto/PubKey/Ed25519.hs b/Crypto/PubKey/Ed25519.hs --- a/Crypto/PubKey/Ed25519.hs +++ b/Crypto/PubKey/Ed25519.hs @@ -1,3 +1,6 @@ +{-# LANGUAGE BangPatterns #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + -- | -- Module : Crypto.PubKey.Ed25519 -- License : BSD-style @@ -6,51 +9,60 @@ -- Portability : unknown -- -- Ed25519 support --- -{-# LANGUAGE BangPatterns #-} -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -module Crypto.PubKey.Ed25519 - ( SecretKey - , PublicKey - , Signature +module Crypto.PubKey.Ed25519 ( + SecretKey, + PublicKey, + Signature, + -- * Size constants - , publicKeySize - , secretKeySize - , signatureSize + publicKeySize, + secretKeySize, + signatureSize, + -- * Smart constructors - , signature - , publicKey - , secretKey + signature, + publicKey, + secretKey, + -- * Methods - , toPublic - , sign - , verify - , generateSecretKey - ) where + toPublic, + sign, + unsafeSign, + verify, + generateSecretKey, +) where -import Data.Word -import Foreign.C.Types -import Foreign.Ptr +import Crypto.Debug (DebugShow (..), debugShowBytes) +import Data.Word +import Foreign.C.Types +import Foreign.Ptr -import Crypto.Error -import Crypto.Internal.ByteArray (ByteArrayAccess, Bytes, - ScrubbedBytes, withByteArray) +import Crypto.Error +import Crypto.Internal.ByteArray ( + ByteArrayAccess, + Bytes, + ScrubbedBytes, + withByteArray, + ) import qualified Crypto.Internal.ByteArray as B -import Crypto.Internal.Compat -import Crypto.Internal.Imports -import Crypto.Random +import Crypto.Internal.Compat +import Crypto.Internal.Imports +import Crypto.Random -- | An Ed25519 Secret key newtype SecretKey = SecretKey ScrubbedBytes - deriving (Show,Eq,ByteArrayAccess,NFData) + deriving (Show, Eq, ByteArrayAccess, NFData) +instance DebugShow SecretKey where + debugShow = debugShowBytes "SecretKey" + -- | An Ed25519 public key newtype PublicKey = PublicKey Bytes - deriving (Show,Eq,ByteArrayAccess,NFData) + deriving (Show, Eq, ByteArrayAccess, NFData) -- | An Ed25519 signature newtype Signature = Signature Bytes - deriving (Show,Eq,ByteArrayAccess,NFData) + deriving (Show, Eq, ByteArrayAccess, NFData) -- | Try to build a public key from a bytearray publicKey :: ByteArrayAccess ba => ba -> CryptoFailable PublicKey @@ -64,15 +76,16 @@ secretKey :: ByteArrayAccess ba => ba -> CryptoFailable SecretKey secretKey bs | B.length bs == secretKeySize = unsafeDoIO $ withByteArray bs initialize - | otherwise = CryptoFailed CryptoError_SecretKeyStructureInvalid + | otherwise = + CryptoFailed CryptoError_SecretKeyStructureInvalid where - initialize inp = do - valid <- isValidPtr inp - if valid - then (CryptoPassed . SecretKey) <$> B.copy bs (\_ -> return ()) - else return $ CryptoFailed CryptoError_SecretKeyStructureInvalid - isValidPtr _ = - return True + initialize inp = do + valid <- isValidPtr inp + if valid + then (CryptoPassed . SecretKey) <$> B.copy bs (\_ -> return ()) + else return $ CryptoFailed CryptoError_SecretKeyStructureInvalid + isValidPtr _ = + return True {-# NOINLINE secretKey #-} -- | Try to build a signature from a bytearray @@ -85,31 +98,51 @@ -- | Create a public key from a secret key toPublic :: SecretKey -> PublicKey -toPublic (SecretKey sec) = PublicKey <$> - B.allocAndFreeze publicKeySize $ \result -> - withByteArray sec $ \psec -> - ccrypton_ed25519_publickey psec result +toPublic (SecretKey sec) = PublicKey + <$> B.allocAndFreeze publicKeySize + $ \result -> + withByteArray sec $ \psec -> + ccrypton_ed25519_publickey psec result {-# NOINLINE toPublic #-} --- | Sign a message using the key pair +-- | Sign a message using the key pair. +-- The public key parameter is ignored and its public key +-- is generated from the secret key parameter to prevent +-- Double Public Key Signing Function Oracle Attack. sign :: ByteArrayAccess ba => SecretKey -> PublicKey -> ba -> Signature -sign secret public message = +sign secret _public message = Signature $ B.allocAndFreeze signatureSize $ \sig -> - withByteArray secret $ \sec -> - withByteArray public $ \pub -> - withByteArray message $ \msg -> - ccrypton_ed25519_sign msg (fromIntegral msgLen) sec pub sig + withByteArray secret $ \sec -> + withByteArray public $ \pub -> + withByteArray message $ \msg -> + ccrypton_ed25519_sign msg (fromIntegral msgLen) sec pub sig where !msgLen = B.length message + public = toPublic secret +-- | Sign a message using the key pair. This is old `sign`, which is +-- vulnerable to private key compromise if the given public key does +-- not correspond to the secret key. This function is provided for +-- performance critical applications. To use it safely, applications +-- must verify or derive the public key. +unsafeSign :: ByteArrayAccess ba => SecretKey -> PublicKey -> ba -> Signature +unsafeSign secret public message = + Signature $ B.allocAndFreeze signatureSize $ \sig -> + withByteArray secret $ \sec -> + withByteArray public $ \pub -> + withByteArray message $ \msg -> + ccrypton_ed25519_sign msg (fromIntegral msgLen) sec pub sig + where + !msgLen = B.length message + -- | Verify a message verify :: ByteArrayAccess ba => PublicKey -> ba -> Signature -> Bool verify public message signatureVal = unsafeDoIO $ withByteArray signatureVal $ \sig -> - withByteArray public $ \pub -> - withByteArray message $ \msg -> do - r <- ccrypton_ed25519_sign_open msg (fromIntegral msgLen) pub sig - return (r == 0) + withByteArray public $ \pub -> + withByteArray message $ \msg -> do + r <- ccrypton_ed25519_sign_open msg (fromIntegral msgLen) pub sig + return (r == 0) where !msgLen = B.length message @@ -130,21 +163,24 @@ signatureSize = 64 foreign import ccall "crypton_ed25519_publickey" - ccrypton_ed25519_publickey :: Ptr SecretKey -- secret key - -> Ptr PublicKey -- public key - -> IO () + ccrypton_ed25519_publickey + :: Ptr SecretKey -- secret key + -> Ptr PublicKey -- public key + -> IO () foreign import ccall "crypton_ed25519_sign_open" - ccrypton_ed25519_sign_open :: Ptr Word8 -- message - -> CSize -- message len - -> Ptr PublicKey -- public - -> Ptr Signature -- signature - -> IO CInt + ccrypton_ed25519_sign_open + :: Ptr Word8 -- message + -> CSize -- message len + -> Ptr PublicKey -- public + -> Ptr Signature -- signature + -> IO CInt foreign import ccall "crypton_ed25519_sign" - ccrypton_ed25519_sign :: Ptr Word8 -- message - -> CSize -- message len - -> Ptr SecretKey -- secret - -> Ptr PublicKey -- public - -> Ptr Signature -- signature - -> IO () + ccrypton_ed25519_sign + :: Ptr Word8 -- message + -> CSize -- message len + -> Ptr SecretKey -- secret + -> Ptr PublicKey -- public + -> Ptr Signature -- signature + -> IO () diff --git a/Crypto/PubKey/Ed448.hs b/Crypto/PubKey/Ed448.hs --- a/Crypto/PubKey/Ed448.hs +++ b/Crypto/PubKey/Ed448.hs @@ -1,3 +1,6 @@ +{-# LANGUAGE BangPatterns #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + -- | -- Module : Crypto.PubKey.Ed448 -- License : BSD-style @@ -10,51 +13,60 @@ -- Internally uses Decaf point compression to omit the cofactor -- and implementation by Mike Hamburg. Externally API and -- data types are compatible with the encoding specified in RFC 8032. --- -{-# LANGUAGE BangPatterns #-} -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -module Crypto.PubKey.Ed448 - ( SecretKey - , PublicKey - , Signature +module Crypto.PubKey.Ed448 ( + SecretKey, + PublicKey, + Signature, + -- * Size constants - , publicKeySize - , secretKeySize - , signatureSize + publicKeySize, + secretKeySize, + signatureSize, + -- * Smart constructors - , signature - , publicKey - , secretKey + signature, + publicKey, + secretKey, + -- * Methods - , toPublic - , sign - , verify - , generateSecretKey - ) where + toPublic, + sign, + unsafeSign, + verify, + generateSecretKey, +) where -import Data.Word -import Foreign.C.Types -import Foreign.Ptr +import Crypto.Debug (DebugShow (..), debugShowBytes) +import Data.Word +import Foreign.C.Types +import Foreign.Ptr -import Crypto.Error -import Crypto.Internal.ByteArray (ByteArrayAccess, Bytes, - ScrubbedBytes, withByteArray) +import Crypto.Error +import Crypto.Internal.ByteArray ( + ByteArrayAccess, + Bytes, + ScrubbedBytes, + withByteArray, + ) import qualified Crypto.Internal.ByteArray as B -import Crypto.Internal.Compat -import Crypto.Internal.Imports -import Crypto.Random +import Crypto.Internal.Compat +import Crypto.Internal.Imports +import Crypto.Random -- | An Ed448 Secret key newtype SecretKey = SecretKey ScrubbedBytes - deriving (Show,Eq,ByteArrayAccess,NFData) + deriving (Show, Eq, ByteArrayAccess, NFData) +instance DebugShow SecretKey where + debugShow = debugShowBytes "SecretKey" + -- | An Ed448 public key newtype PublicKey = PublicKey Bytes - deriving (Show,Eq,ByteArrayAccess,NFData) + deriving (Show, Eq, ByteArrayAccess, NFData) -- | An Ed448 signature newtype Signature = Signature Bytes - deriving (Show,Eq,ByteArrayAccess,NFData) + deriving (Show, Eq, ByteArrayAccess, NFData) -- | Try to build a public key from a bytearray publicKey :: ByteArrayAccess ba => ba -> CryptoFailable PublicKey @@ -68,15 +80,16 @@ secretKey :: ByteArrayAccess ba => ba -> CryptoFailable SecretKey secretKey bs | B.length bs == secretKeySize = unsafeDoIO $ withByteArray bs initialize - | otherwise = CryptoFailed CryptoError_SecretKeyStructureInvalid + | otherwise = + CryptoFailed CryptoError_SecretKeyStructureInvalid where - initialize inp = do - valid <- isValidPtr inp - if valid - then (CryptoPassed . SecretKey) <$> B.copy bs (\_ -> return ()) - else return $ CryptoFailed CryptoError_SecretKeyStructureInvalid - isValidPtr _ = - return True + initialize inp = do + valid <- isValidPtr inp + if valid + then (CryptoPassed . SecretKey) <$> B.copy bs (\_ -> return ()) + else return $ CryptoFailed CryptoError_SecretKeyStructureInvalid + isValidPtr _ = + return True {-# NOINLINE secretKey #-} -- | Try to build a signature from a bytearray @@ -89,31 +102,51 @@ -- | Create a public key from a secret key toPublic :: SecretKey -> PublicKey -toPublic (SecretKey sec) = PublicKey <$> - B.allocAndFreeze publicKeySize $ \result -> - withByteArray sec $ \psec -> - decaf_ed448_derive_public_key result psec +toPublic (SecretKey sec) = PublicKey + <$> B.allocAndFreeze publicKeySize + $ \result -> + withByteArray sec $ \psec -> + decaf_ed448_derive_public_key result psec {-# NOINLINE toPublic #-} -- | Sign a message using the key pair +-- The public key parameter is ignored and its public key +-- is generated from the secret key parameter to prevent +-- Double Public Key Signing Function Oracle Attack. sign :: ByteArrayAccess ba => SecretKey -> PublicKey -> ba -> Signature -sign secret public message = +sign secret _public message = Signature $ B.allocAndFreeze signatureSize $ \sig -> - withByteArray secret $ \sec -> - withByteArray public $ \pub -> - withByteArray message $ \msg -> - decaf_ed448_sign sig sec pub msg (fromIntegral msgLen) 0 no_context 0 + withByteArray secret $ \sec -> + withByteArray public $ \pub -> + withByteArray message $ \msg -> + decaf_ed448_sign sig sec pub msg (fromIntegral msgLen) 0 no_context 0 where !msgLen = B.length message + public = toPublic secret +-- | Sign a message using the key pair. This is old `sign`, which is +-- vulnerable to private key compromise if the given public key does +-- not correspond to the secret key. This function is provided for +-- performance critical applications. To use it safely, applications +-- must verify or derive the public key. +unsafeSign :: ByteArrayAccess ba => SecretKey -> PublicKey -> ba -> Signature +unsafeSign secret public message = + Signature $ B.allocAndFreeze signatureSize $ \sig -> + withByteArray secret $ \sec -> + withByteArray public $ \pub -> + withByteArray message $ \msg -> + decaf_ed448_sign sig sec pub msg (fromIntegral msgLen) 0 no_context 0 + where + !msgLen = B.length message + -- | Verify a message verify :: ByteArrayAccess ba => PublicKey -> ba -> Signature -> Bool verify public message signatureVal = unsafeDoIO $ withByteArray signatureVal $ \sig -> - withByteArray public $ \pub -> - withByteArray message $ \msg -> do - r <- decaf_ed448_verify sig pub msg (fromIntegral msgLen) 0 no_context 0 - return (r /= 0) + withByteArray public $ \pub -> + withByteArray message $ \msg -> do + r <- decaf_ed448_verify sig pub msg (fromIntegral msgLen) 0 no_context 0 + return (r /= 0) where !msgLen = B.length message @@ -137,27 +170,30 @@ no_context = nullPtr -- not supported yet foreign import ccall "crypton_decaf_ed448_derive_public_key" - decaf_ed448_derive_public_key :: Ptr PublicKey -- public key - -> Ptr SecretKey -- secret key - -> IO () + decaf_ed448_derive_public_key + :: Ptr PublicKey -- public key + -> Ptr SecretKey -- secret key + -> IO () foreign import ccall "crypton_decaf_ed448_sign" - decaf_ed448_sign :: Ptr Signature -- signature - -> Ptr SecretKey -- secret - -> Ptr PublicKey -- public - -> Ptr Word8 -- message - -> CSize -- message len - -> Word8 -- prehashed - -> Ptr Word8 -- context - -> Word8 -- context len - -> IO () + decaf_ed448_sign + :: Ptr Signature -- signature + -> Ptr SecretKey -- secret + -> Ptr PublicKey -- public + -> Ptr Word8 -- message + -> CSize -- message len + -> Word8 -- prehashed + -> Ptr Word8 -- context + -> Word8 -- context len + -> IO () foreign import ccall "crypton_decaf_ed448_verify" - decaf_ed448_verify :: Ptr Signature -- signature - -> Ptr PublicKey -- public - -> Ptr Word8 -- message - -> CSize -- message len - -> Word8 -- prehashed - -> Ptr Word8 -- context - -> Word8 -- context len - -> IO CInt + decaf_ed448_verify + :: Ptr Signature -- signature + -> Ptr PublicKey -- public + -> Ptr Word8 -- message + -> CSize -- message len + -> Word8 -- prehashed + -> Ptr Word8 -- context + -> Word8 -- context len + -> IO CInt diff --git a/Crypto/PubKey/EdDSA.hs b/Crypto/PubKey/EdDSA.hs --- a/Crypto/PubKey/EdDSA.hs +++ b/Crypto/PubKey/EdDSA.hs @@ -1,3 +1,12 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE FlexibleContexts #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} +{-# LANGUAGE OverloadedStrings #-} +{-# LANGUAGE RankNTypes #-} +{-# LANGUAGE ScopedTypeVariables #-} +{-# LANGUAGE TypeFamilies #-} +{-# LANGUAGE TypeOperators #-} + -- | -- Module : Crypto.PubKey.EdDSA -- License : BSD-style @@ -15,80 +24,86 @@ -- This implementation is most useful when wanting to customize the hash -- algorithm. See module "Crypto.PubKey.Ed25519" for faster Ed25519 with -- SHA-512. --- -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE FlexibleContexts #-} -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -{-# LANGUAGE OverloadedStrings #-} -{-# LANGUAGE RankNTypes #-} -{-# LANGUAGE ScopedTypeVariables #-} -{-# LANGUAGE TypeFamilies #-} -module Crypto.PubKey.EdDSA - ( SecretKey - , PublicKey - , Signature +module Crypto.PubKey.EdDSA ( + SecretKey, + PublicKey, + Signature, + -- * Curves with EdDSA implementation - , EllipticCurveEdDSA(CurveDigestSize) - , publicKeySize - , secretKeySize - , signatureSize + EllipticCurveEdDSA (CurveDigestSize), + publicKeySize, + secretKeySize, + signatureSize, + -- * Smart constructors - , signature - , publicKey - , secretKey + signature, + publicKey, + secretKey, + -- * Methods - , toPublic - , sign - , signCtx - , signPh - , verify - , verifyCtx - , verifyPh - , generateSecretKey - ) where + toPublic, + sign, + signCtx, + signPh, + verify, + verifyCtx, + verifyPh, + generateSecretKey, +) where -import Data.Bits -import Data.ByteArray (ByteArray, ByteArrayAccess, Bytes, ScrubbedBytes, View) +import Crypto.Debug (DebugShow (..), debugShowBytes) +import Data.Bits +import Data.ByteArray ( + ByteArray, + ByteArrayAccess, + Bytes, + ScrubbedBytes, + View, + ) import qualified Data.ByteArray as B -import Data.ByteString (ByteString) -import Data.Proxy +import Data.ByteString (ByteString) +import Data.Proxy -import Crypto.ECC +import Crypto.ECC import qualified Crypto.ECC.Edwards25519 as Edwards25519 -import Crypto.Error -import Crypto.Hash (Digest) -import Crypto.Hash.IO -import Crypto.Random - -import GHC.TypeLits (KnownNat, Nat) +import Crypto.Error +import Crypto.Hash (Digest) +import Crypto.Hash.IO +import Crypto.Random -import Crypto.Internal.Builder -import Crypto.Internal.Compat -import Crypto.Internal.Imports -import Crypto.Internal.Nat (integralNatVal) +import GHC.TypeLits (KnownNat, Nat) -import Foreign.Storable +import Crypto.Internal.Builder +import Crypto.Internal.Compat +import Crypto.Internal.Imports +import Crypto.Internal.Nat (integralNatVal) +import Foreign.Storable -- API -- | An EdDSA Secret key newtype SecretKey curve = SecretKey ScrubbedBytes - deriving (Show,Eq,ByteArrayAccess,NFData) + deriving (Show, Eq, ByteArrayAccess, NFData) +instance DebugShow (SecretKey curve) where + debugShow = debugShowBytes "SecretKey" + -- | An EdDSA public key newtype PublicKey curve hash = PublicKey Bytes - deriving (Show,Eq,ByteArrayAccess,NFData) + deriving (Show, Eq, ByteArrayAccess, NFData) -- | An EdDSA signature newtype Signature curve hash = Signature Bytes - deriving (Show,Eq,ByteArrayAccess,NFData) + deriving (Show, Eq, ByteArrayAccess, NFData) -- | Elliptic curves with an implementation of EdDSA -class ( EllipticCurveBasepointArith curve - , KnownNat (CurveDigestSize curve) - ) => EllipticCurveEdDSA curve where - +class + ( EllipticCurveBasepointArith curve + , KnownNat (CurveDigestSize curve) + ) => + EllipticCurveEdDSA curve + where -- | Size of the digest for this curve (in bytes) type CurveDigestSize curve :: Nat @@ -96,43 +111,49 @@ secretKeySize :: proxy curve -> Int -- hash with specified parameters - hashWithDom :: (HashAlgorithm hash, ByteArrayAccess ctx, ByteArrayAccess msg) - => proxy curve -> hash -> Bool -> ctx -> Builder -> msg -> Bytes + hashWithDom + :: (HashAlgorithm hash, ByteArrayAccess ctx, ByteArrayAccess msg) + => proxy curve -> hash -> Bool -> ctx -> Builder -> msg -> Bytes -- conversion between scalar, point and public key pointPublic :: proxy curve -> Point curve -> PublicKey curve hash - publicPoint :: proxy curve -> PublicKey curve hash -> CryptoFailable (Point curve) + publicPoint + :: proxy curve -> PublicKey curve hash -> CryptoFailable (Point curve) encodeScalarLE :: ByteArray bs => proxy curve -> Scalar curve -> bs - decodeScalarLE :: ByteArrayAccess bs => proxy curve -> bs -> CryptoFailable (Scalar curve) + decodeScalarLE + :: ByteArrayAccess bs => proxy curve -> bs -> CryptoFailable (Scalar curve) -- how to use bits in a secret key - scheduleSecret :: ( HashAlgorithm hash - , HashDigestSize hash ~ CurveDigestSize curve - ) - => proxy curve - -> hash - -> SecretKey curve - -> (Scalar curve, View Bytes) + scheduleSecret + :: ( HashAlgorithm hash + , HashDigestSize hash ~ CurveDigestSize curve + ) + => proxy curve + -> hash + -> SecretKey curve + -> (Scalar curve, View Bytes) -- | Size of public keys for this curve (in bytes) publicKeySize :: EllipticCurveEdDSA curve => proxy curve -> Int publicKeySize prx = signatureSize prx `div` 2 -- | Size of signatures for this curve (in bytes) -signatureSize :: forall proxy curve . EllipticCurveEdDSA curve - => proxy curve -> Int +signatureSize + :: forall proxy curve + . EllipticCurveEdDSA curve + => proxy curve -> Int signatureSize _ = integralNatVal (Proxy :: Proxy (CurveDigestSize curve)) - -- Constructors -- | Try to build a public key from a bytearray -publicKey :: ( EllipticCurveEdDSA curve - , HashAlgorithm hash - , HashDigestSize hash ~ CurveDigestSize curve - , ByteArrayAccess ba - ) - => proxy curve -> hash -> ba -> CryptoFailable (PublicKey curve hash) +publicKey + :: ( EllipticCurveEdDSA curve + , HashAlgorithm hash + , HashDigestSize hash ~ CurveDigestSize curve + , ByteArrayAccess ba + ) + => proxy curve -> hash -> ba -> CryptoFailable (PublicKey curve hash) publicKey prx _ bs | B.length bs == publicKeySize prx = CryptoPassed (PublicKey $ B.convert bs) @@ -140,196 +161,256 @@ CryptoFailed CryptoError_PublicKeySizeInvalid -- | Try to build a secret key from a bytearray -secretKey :: (EllipticCurveEdDSA curve, ByteArrayAccess ba) - => proxy curve -> ba -> CryptoFailable (SecretKey curve) +secretKey + :: (EllipticCurveEdDSA curve, ByteArrayAccess ba) + => proxy curve -> ba -> CryptoFailable (SecretKey curve) secretKey prx bs | B.length bs == secretKeySize prx = CryptoPassed (SecretKey $ B.convert bs) - | otherwise = + | otherwise = CryptoFailed CryptoError_SecretKeyStructureInvalid -- | Try to build a signature from a bytearray -signature :: ( EllipticCurveEdDSA curve - , HashAlgorithm hash - , HashDigestSize hash ~ CurveDigestSize curve - , ByteArrayAccess ba - ) - => proxy curve -> hash -> ba -> CryptoFailable (Signature curve hash) +signature + :: ( EllipticCurveEdDSA curve + , HashAlgorithm hash + , HashDigestSize hash ~ CurveDigestSize curve + , ByteArrayAccess ba + ) + => proxy curve -> hash -> ba -> CryptoFailable (Signature curve hash) signature prx _ bs | B.length bs == signatureSize prx = CryptoPassed (Signature $ B.convert bs) | otherwise = CryptoFailed CryptoError_SecretKeyStructureInvalid - -- Conversions -- | Generate a secret key -generateSecretKey :: (EllipticCurveEdDSA curve, MonadRandom m) - => proxy curve -> m (SecretKey curve) +generateSecretKey + :: (EllipticCurveEdDSA curve, MonadRandom m) + => proxy curve -> m (SecretKey curve) generateSecretKey prx = SecretKey <$> getRandomBytes (secretKeySize prx) -- | Create a public key from a secret key -toPublic :: ( EllipticCurveEdDSA curve - , HashAlgorithm hash - , HashDigestSize hash ~ CurveDigestSize curve - ) - => proxy curve -> hash -> SecretKey curve -> PublicKey curve hash +toPublic + :: ( EllipticCurveEdDSA curve + , HashAlgorithm hash + , HashDigestSize hash ~ CurveDigestSize curve + ) + => proxy curve -> hash -> SecretKey curve -> PublicKey curve hash toPublic prx alg priv = let p = pointBaseSmul prx (secretScalar prx alg priv) in pointPublic prx p -secretScalar :: ( EllipticCurveEdDSA curve - , HashAlgorithm hash - , HashDigestSize hash ~ CurveDigestSize curve - ) - => proxy curve -> hash -> SecretKey curve -> Scalar curve +secretScalar + :: ( EllipticCurveEdDSA curve + , HashAlgorithm hash + , HashDigestSize hash ~ CurveDigestSize curve + ) + => proxy curve -> hash -> SecretKey curve -> Scalar curve secretScalar prx alg priv = fst (scheduleSecret prx alg priv) - -- EdDSA signature generation & verification -- | Sign a message using the key pair -sign :: ( EllipticCurveEdDSA curve - , HashAlgorithm hash - , HashDigestSize hash ~ CurveDigestSize curve - , ByteArrayAccess msg - ) - => proxy curve -> SecretKey curve -> PublicKey curve hash -> msg -> Signature curve hash +sign + :: ( EllipticCurveEdDSA curve + , HashAlgorithm hash + , HashDigestSize hash ~ CurveDigestSize curve + , ByteArrayAccess msg + ) + => proxy curve + -> SecretKey curve + -> PublicKey curve hash + -> msg + -> Signature curve hash sign prx = signCtx prx emptyCtx -- | Verify a message -verify :: ( EllipticCurveEdDSA curve - , HashAlgorithm hash - , HashDigestSize hash ~ CurveDigestSize curve - , ByteArrayAccess msg - ) - => proxy curve -> PublicKey curve hash -> msg -> Signature curve hash -> Bool +verify + :: ( EllipticCurveEdDSA curve + , HashAlgorithm hash + , HashDigestSize hash ~ CurveDigestSize curve + , ByteArrayAccess msg + ) + => proxy curve -> PublicKey curve hash -> msg -> Signature curve hash -> Bool verify prx = verifyCtx prx emptyCtx -- | Sign a message using the key pair under context @ctx@ -signCtx :: ( EllipticCurveEdDSA curve - , HashAlgorithm hash - , HashDigestSize hash ~ CurveDigestSize curve - , ByteArrayAccess ctx - , ByteArrayAccess msg - ) - => proxy curve -> ctx -> SecretKey curve -> PublicKey curve hash -> msg -> Signature curve hash +signCtx + :: ( EllipticCurveEdDSA curve + , HashAlgorithm hash + , HashDigestSize hash ~ CurveDigestSize curve + , ByteArrayAccess ctx + , ByteArrayAccess msg + ) + => proxy curve + -> ctx + -> SecretKey curve + -> PublicKey curve hash + -> msg + -> Signature curve hash signCtx prx = signPhCtx prx False -- | Verify a message under context @ctx@ -verifyCtx :: ( EllipticCurveEdDSA curve - , HashAlgorithm hash - , HashDigestSize hash ~ CurveDigestSize curve - , ByteArrayAccess ctx - , ByteArrayAccess msg - ) - => proxy curve -> ctx -> PublicKey curve hash -> msg -> Signature curve hash -> Bool +verifyCtx + :: ( EllipticCurveEdDSA curve + , HashAlgorithm hash + , HashDigestSize hash ~ CurveDigestSize curve + , ByteArrayAccess ctx + , ByteArrayAccess msg + ) + => proxy curve + -> ctx + -> PublicKey curve hash + -> msg + -> Signature curve hash + -> Bool verifyCtx prx = verifyPhCtx prx False -- | Sign a prehashed message using the key pair under context @ctx@ -signPh :: ( EllipticCurveEdDSA curve - , HashAlgorithm hash - , HashDigestSize hash ~ CurveDigestSize curve - , ByteArrayAccess ctx - ) - => proxy curve -> ctx -> SecretKey curve -> PublicKey curve hash -> Digest prehash -> Signature curve hash +signPh + :: ( EllipticCurveEdDSA curve + , HashAlgorithm hash + , HashDigestSize hash ~ CurveDigestSize curve + , ByteArrayAccess ctx + ) + => proxy curve + -> ctx + -> SecretKey curve + -> PublicKey curve hash + -> Digest prehash + -> Signature curve hash signPh prx = signPhCtx prx True -- | Verify a prehashed message under context @ctx@ -verifyPh :: ( EllipticCurveEdDSA curve - , HashAlgorithm hash - , HashDigestSize hash ~ CurveDigestSize curve - , ByteArrayAccess ctx - ) - => proxy curve -> ctx -> PublicKey curve hash -> Digest prehash -> Signature curve hash -> Bool +verifyPh + :: ( EllipticCurveEdDSA curve + , HashAlgorithm hash + , HashDigestSize hash ~ CurveDigestSize curve + , ByteArrayAccess ctx + ) + => proxy curve + -> ctx + -> PublicKey curve hash + -> Digest prehash + -> Signature curve hash + -> Bool verifyPh prx = verifyPhCtx prx True -signPhCtx :: forall proxy curve hash ctx msg . - ( EllipticCurveEdDSA curve - , HashAlgorithm hash - , HashDigestSize hash ~ CurveDigestSize curve - , ByteArrayAccess ctx - , ByteArrayAccess msg - ) - => proxy curve -> Bool -> ctx -> SecretKey curve -> PublicKey curve hash -> msg -> Signature curve hash +signPhCtx + :: forall proxy curve hash ctx msg + . ( EllipticCurveEdDSA curve + , HashAlgorithm hash + , HashDigestSize hash ~ CurveDigestSize curve + , ByteArrayAccess ctx + , ByteArrayAccess msg + ) + => proxy curve + -> Bool + -> ctx + -> SecretKey curve + -> PublicKey curve hash + -> msg + -> Signature curve hash signPhCtx prx ph ctx priv pub msg = - let alg = undefined :: hash + let alg = undefined :: hash (s, prefix) = scheduleSecret prx alg priv digR = hashWithDom prx alg ph ctx (bytes prefix) msg - r = decodeScalarNoErr prx digR - pR = pointBaseSmul prx r - bsR = encodePoint prx pR - sK = getK prx ph ctx pub bsR msg - sS = scalarAdd prx r (scalarMul prx sK s) + r = decodeScalarNoErr prx digR + pR = pointBaseSmul prx r + bsR = encodePoint prx pR + sK = getK prx ph ctx pub bsR msg + sS = scalarAdd prx r (scalarMul prx sK s) in encodeSignature prx (bsR, pR, sS) -verifyPhCtx :: ( EllipticCurveEdDSA curve - , HashAlgorithm hash - , HashDigestSize hash ~ CurveDigestSize curve - , ByteArrayAccess ctx - , ByteArrayAccess msg - ) - => proxy curve -> Bool -> ctx -> PublicKey curve hash -> msg -> Signature curve hash -> Bool +verifyPhCtx + :: ( EllipticCurveEdDSA curve + , HashAlgorithm hash + , HashDigestSize hash ~ CurveDigestSize curve + , ByteArrayAccess ctx + , ByteArrayAccess msg + ) + => proxy curve + -> Bool + -> ctx + -> PublicKey curve hash + -> msg + -> Signature curve hash + -> Bool verifyPhCtx prx ph ctx pub msg sig = case doVerify of CryptoPassed verified -> verified - CryptoFailed _ -> False + CryptoFailed _ -> False where doVerify = do (bsR, pR, sS) <- decodeSignature prx sig nPub <- pointNegate prx `fmap` publicPoint prx pub - let sK = getK prx ph ctx pub bsR msg + let sK = getK prx ph ctx pub bsR msg pR' = pointsSmulVarTime prx sS sK nPub return (pR == pR') emptyCtx :: Bytes emptyCtx = B.empty -getK :: forall proxy curve hash ctx msg . - ( EllipticCurveEdDSA curve - , HashAlgorithm hash - , HashDigestSize hash ~ CurveDigestSize curve - , ByteArrayAccess ctx - , ByteArrayAccess msg - ) - => proxy curve -> Bool -> ctx -> PublicKey curve hash -> Bytes -> msg -> Scalar curve +getK + :: forall proxy curve hash ctx msg + . ( EllipticCurveEdDSA curve + , HashAlgorithm hash + , HashDigestSize hash ~ CurveDigestSize curve + , ByteArrayAccess ctx + , ByteArrayAccess msg + ) + => proxy curve + -> Bool + -> ctx + -> PublicKey curve hash + -> Bytes + -> msg + -> Scalar curve getK prx ph ctx (PublicKey pub) bsR msg = - let alg = undefined :: hash + let alg = undefined :: hash digK = hashWithDom prx alg ph ctx (bytes bsR <> bytes pub) msg in decodeScalarNoErr prx digK -encodeSignature :: EllipticCurveEdDSA curve - => proxy curve - -> (Bytes, Point curve, Scalar curve) - -> Signature curve hash -encodeSignature prx (bsR, _, sS) = Signature $ buildAndFreeze $ - bytes bsR <> bytes bsS <> zero len0 +encodeSignature + :: EllipticCurveEdDSA curve + => proxy curve + -> (Bytes, Point curve, Scalar curve) + -> Signature curve hash +encodeSignature prx (bsR, _, sS) = + Signature $ + buildAndFreeze $ + bytes bsR <> bytes bsS <> zero len0 where - bsS = encodeScalarLE prx sS :: Bytes + bsS = encodeScalarLE prx sS :: Bytes len0 = signatureSize prx - B.length bsR - B.length bsS -decodeSignature :: ( EllipticCurveEdDSA curve - , HashDigestSize hash ~ CurveDigestSize curve - ) - => proxy curve - -> Signature curve hash - -> CryptoFailable (Bytes, Point curve, Scalar curve) -decodeSignature prx (Signature bs) = do +decodeSignature + :: ( EllipticCurveEdDSA curve + , HashDigestSize hash ~ CurveDigestSize curve + ) + => proxy curve + -> Signature curve hash + -> CryptoFailable (Bytes, Point curve, Scalar curve) +decodeSignature prx sig@(Signature bs) = do let (bsR, bsS) = B.splitAt (publicKeySize prx) bs pR <- decodePoint prx bsR sS <- decodeScalarLE prx bsS - return (bsR, pR, sS) + if encodeSignature prx (encodePoint prx pR, pR, sS) == sig + then return (bsR, pR, sS) + else CryptoFailed CryptoError_PointFormatInvalid -- implementations are supposed to decode any scalar up to the size of the digest -decodeScalarNoErr :: (EllipticCurveEdDSA curve, ByteArrayAccess bs) - => proxy curve -> bs -> Scalar curve +decodeScalarNoErr + :: (EllipticCurveEdDSA curve, ByteArrayAccess bs) + => proxy curve -> bs -> Scalar curve decodeScalarNoErr prx = unwrap "decodeScalarNoErr" . decodeScalarLE prx unwrap :: String -> CryptoFailable a -> a unwrap name (CryptoFailed _) = error (name ++ ": assumption failed") -unwrap _ (CryptoPassed x) = x - +unwrap _ (CryptoPassed x) = x -- Ed25519 implementation @@ -339,11 +420,13 @@ hashWithDom _ alg ph ctx bss | not ph && B.null ctx = digestDomMsg alg bss - | otherwise = digestDomMsg alg (dom <> bss) - where dom = bytes ("SigEd25519 no Ed25519 collisions" :: ByteString) <> - byte (if ph then 1 else 0) <> - byte (fromIntegral $ B.length ctx) <> - bytes ctx + | otherwise = digestDomMsg alg (dom <> bss) + where + dom = + bytes ("SigEd25519 no Ed25519 collisions" :: ByteString) + <> byte (if ph then 1 else 0) + <> byte (fromIntegral $ B.length ctx) + <> bytes ctx pointPublic _ = PublicKey . Edwards25519.pointEncode publicPoint _ = Edwards25519.pointDecode @@ -353,15 +436,14 @@ scheduleSecret prx alg priv = (decodeScalarNoErr prx clamped, B.dropView hashed 32) where - hashed = digest alg $ \update -> update priv + hashed = digest alg $ \update -> update priv clamped :: Bytes clamped = B.copyAndFreeze (B.takeView hashed 32) $ \p -> do - b0 <- peekElemOff p 0 :: IO Word8 - b31 <- peekElemOff p 31 :: IO Word8 - pokeElemOff p 31 ((b31 .&. 0x7F) .|. 0x40) - pokeElemOff p 0 (b0 .&. 0xF8) - + b0 <- peekElemOff p 0 :: IO Word8 + b31 <- peekElemOff p 31 :: IO Word8 + pokeElemOff p 31 ((b31 .&. 0x7F) .|. 0x40) + pokeElemOff p 0 (b0 .&. 0xF8) {- Optimize hashing by limiting the number of roundtrips between Haskell and C. @@ -375,15 +457,17 @@ pinned trampoline. -} -digestDomMsg :: (HashAlgorithm alg, ByteArrayAccess msg) - => alg -> Builder -> msg -> Bytes +digestDomMsg + :: (HashAlgorithm alg, ByteArrayAccess msg) + => alg -> Builder -> msg -> Bytes digestDomMsg alg bss bs = digest alg $ \update -> update (buildAndFreeze bss :: Bytes) >> update bs -digest :: HashAlgorithm alg - => alg - -> ((forall bs . ByteArrayAccess bs => bs -> IO ()) -> IO ()) - -> Bytes +digest + :: HashAlgorithm alg + => alg + -> ((forall bs. ByteArrayAccess bs => bs -> IO ()) -> IO ()) + -> Bytes digest alg fn = B.convert $ unsafeDoIO $ do mc <- hashMutableInitWith alg fn (hashMutableUpdate mc) diff --git a/Crypto/PubKey/ElGamal.hs b/Crypto/PubKey/ElGamal.hs --- a/Crypto/PubKey/ElGamal.hs +++ b/Crypto/PubKey/ElGamal.hs @@ -1,3 +1,6 @@ +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + -- | -- Module : Crypto.PubKey.ElGamal -- License : BSD-style @@ -5,143 +8,259 @@ -- Stability : experimental -- Portability : Good -- --- This module is a work in progress. do not use: --- it might eat your dog, your data or even both. +-- ElGamal encryption and signature over the multiplicative group of integers +-- modulo a prime, reusing the parameters of "Crypto.PubKey.DH". -- --- TODO: provide a mapping between integer and ciphertext --- generate numbers correctly +-- /These are raw primitives, not a scheme./ The encryption here is textbook +-- ElGamal: it applies no padding, so it is malleable by construction -- +-- multiplying a ciphertext's second component by @t@ multiplies the plaintext +-- by @t@ -- and it is not IND-CCA secure. A message is an 'Integer' below the +-- modulus rather than a byte string, and nothing here maps one to the other. +-- Use it to build a scheme that adds those, or prefer +-- "Crypto.PubKey.RSA.OAEP" or "Crypto.PubKey.ECIES" where a scheme is what is +-- wanted. -- -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -module Crypto.PubKey.ElGamal - ( Params - , PublicNumber - , PrivateNumber - , EphemeralKey(..) - , SharedKey - , Signature +-- The signature primitive is likewise raw, and an ephemeral value must never +-- be reused between signatures: two signatures under the same @k@ reveal the +-- private key. +-- +-- == What is kept from the clock, and what is not +-- +-- Every exponentiation with a secret exponent is +-- 'Crypto.Number.ModArithmetic.expSafe'. Decryption inverts the shared +-- secret by Fermat's little theorem rather than by the extended Euclidean +-- algorithm, whose steps follow the bits it is given. 'sign' cannot do that +-- -- @k@ is inverted modulo @p-1@, which is even -- so it blinds instead: the +-- algorithm is handed @k@ times a fresh random unit, and the blinder is +-- divided out afterwards. 'signWith', having no randomness of its own, hands +-- it @k@. +-- +-- What is left is the 'Integer' arithmetic around all of that, whose cost +-- follows the size of the numbers. See "Crypto.PubKey.DSA" for the same note +-- at more length. +module Crypto.PubKey.ElGamal ( + Params, + PublicNumber, + PrivateNumber, + EphemeralKey (..), + SharedKey, + Signature (..), + -- * Generation - , generatePrivate - , generatePublic + generatePrivate, + generatePublic, + -- * Encryption and decryption with no scheme - , encryptWith - , encrypt - , decrypt + encryptWith, + encrypt, + decrypt, + -- * Signature primitives - , signWith - , sign + signWith, + sign, + -- * Verification primitives - , verify - ) where + verify, +) where -import Data.Maybe (fromJust) -import Crypto.Internal.Imports +import Crypto.Error +import Crypto.Hash import Crypto.Internal.ByteArray (ByteArrayAccess) -import Crypto.Number.ModArithmetic (expSafe, expFast, inverse) -import Crypto.Number.Generate (generateMax) -import Crypto.Number.Serialize (os2ip) +import Crypto.Internal.Imports import Crypto.Number.Basic (gcde) +import Crypto.Number.Generate (generateBetween, generateMax) +import Crypto.Number.ModArithmetic (expFast, expSafe, inverseSafe) +import Crypto.Number.Serialize (os2ip) +import Crypto.PubKey.DH ( + Params (..), + PrivateNumber (..), + PublicNumber (..), + SharedKey (..), + ) import Crypto.Random.Types -import Crypto.PubKey.DH (PrivateNumber(..), PublicNumber(..), Params(..), SharedKey(..)) -import Crypto.Hash +import Data.Data -- | ElGamal Signature -data Signature = Signature (Integer, Integer) +data Signature = Signature + { sign_r :: Integer + -- ^ ElGamal r + , sign_s :: Integer + -- ^ ElGamal s + } + deriving (Show, Read, Eq, Data) +instance NFData Signature where + rnf (Signature r s) = r `seq` s `seq` () + -- | ElGamal Ephemeral key. also called Temporary key. newtype EphemeralKey = EphemeralKey Integer deriving (NFData) --- | generate a private number with no specific property --- this number is usually called a and need to be between --- 0 and q (order of the group G). --- +-- | generate a private number, in @[1, q-1]@ where @q@ is the order of the +-- group. Zero is excluded: it would make the public number 1 and the shared +-- value constant. generatePrivate :: MonadRandom m => Integer -> m PrivateNumber -generatePrivate q = PrivateNumber <$> generateMax q - --- | generate an ephemeral key which is a number with no specific property, --- and need to be between 0 and q (order of the group G). --- -generateEphemeral :: MonadRandom m => Integer -> m EphemeralKey -generateEphemeral q = toEphemeral <$> generatePrivate q - where toEphemeral (PrivateNumber n) = EphemeralKey n +generatePrivate q = PrivateNumber <$> generateBetween 1 (q - 1) -- | generate a public number that is for the other party benefits. -- this number is usually called h=g^a generatePublic :: Params -> PrivateNumber -> PublicNumber generatePublic (Params p g _) (PrivateNumber a) = PublicNumber $ expSafe g a p +-- | Is the other party's public number usable? +-- +-- @1@ and @p-1@ generate a group of one or two elements, so the value they +-- mask the message with is one of a handful of constants. +validPublic :: Integer -> Integer -> Bool +validPublic p h = h > 1 && h < p - 1 + -- | encrypt with a specified ephemeral key --- do not reuse ephemeral key. -encryptWith :: EphemeralKey -> Params -> PublicNumber -> Integer -> (Integer,Integer) -encryptWith (EphemeralKey b) (Params p g _) (PublicNumber h) m = (c1,c2) - where s = expSafe h b p - c1 = expSafe g b p - c2 = (s * m) `mod` p +-- +-- The ephemeral key must lie in @[1, p-2]@ and must never be reused: zero +-- would leave the message unmasked, and a repeat lets anyone who learns one +-- plaintext recover the other. A message must be below the modulus, or +-- decryption would return it reduced. +encryptWith + :: EphemeralKey + -> Params + -> PublicNumber + -> Integer + -> CryptoFailable (Integer, Integer) +encryptWith (EphemeralKey b) (Params p g _) (PublicNumber h) m + | b < 1 || b > p - 2 = CryptoFailed CryptoError_ParameterInvalid + | not (validPublic p h) = CryptoFailed CryptoError_ParameterInvalid + | m < 0 || m >= p = CryptoFailed CryptoError_ParameterInvalid + | otherwise = CryptoPassed (c1, c2) + where + s = expSafe h b p + c1 = expSafe g b p + c2 = (s * m) `mod` p -- | encrypt a message using params and public keys -- will generate b (called the ephemeral key) -encrypt :: MonadRandom m => Params -> PublicNumber -> Integer -> m (Integer,Integer) -encrypt params@(Params p _ _) public m = (\b -> encryptWith b params public m) <$> generateEphemeral q - where q = p-1 -- p is prime, hence order of the group is p-1 +encrypt + :: MonadRandom m + => Params + -> PublicNumber + -> Integer + -> m (CryptoFailable (Integer, Integer)) +encrypt params@(Params p _ _) public m + | p < 5 = return (CryptoFailed CryptoError_ParameterInvalid) + | otherwise = do + b <- generateBetween 1 (p - 2) + return $ encryptWith (EphemeralKey b) params public m -- | decrypt message -decrypt :: Params -> PrivateNumber -> (Integer, Integer) -> Integer -decrypt (Params p _ _) (PrivateNumber a) (c1,c2) = (c2 * sm1) `mod` p - where s = expSafe c1 a p - sm1 = fromJust $ inverse s p -- always inversible in Zp +-- +-- @c1@ must be a unit modulo @p@; a ciphertext whose first component is zero +-- or out of range is rejected rather than raising. +decrypt + :: Params -> PrivateNumber -> (Integer, Integer) -> CryptoFailable Integer +decrypt (Params p _ _) (PrivateNumber a) (c1, c2) + | c1 <= 0 || c1 >= p = CryptoFailed CryptoError_ParameterInvalid + | c2 < 0 || c2 >= p = CryptoFailed CryptoError_ParameterInvalid + | otherwise = case inverseSafe s p of + Nothing -> CryptoFailed CryptoError_ParameterInvalid + Just sm1 -> CryptoPassed ((c2 * sm1) `mod` p) + where + -- the shared secret, which the extended Euclidean algorithm would take + -- apart: its steps follow the bits of what it is given, and this one is + -- worth the private number. p is prime, so Fermat gives the inverse + -- without reading it + s = expSafe c1 a p --- | sign a message with an explicit k number +-- | sign a message with an explicit ephemeral value -- --- if k is not appropriate, then no signature is returned. +-- @k@ has to lie in @[1, p-2]@ and be coprime with @p-1@. 'Nothing' says the +-- value handed in cannot be used: either it fails one of those two conditions, +-- or it is one of the few that produce a second component of zero. Either way +-- the answer is to draw another @k@, which is what 'sign' does. -- --- with some appropriate value of k, the signature generation can fail, --- and no signature is returned. User of this function need to retry --- with a different k value. -signWith :: (ByteArrayAccess msg, HashAlgorithm hash) - => Integer -- ^ random number k, between 0 and p-1 and gcd(k,p-1)=1 - -> Params -- ^ DH params (p,g) - -> PrivateNumber -- ^ DH private key - -> hash -- ^ collision resistant hash algorithm - -> msg -- ^ message to sign - -> Maybe Signature -signWith k (Params p g _) (PrivateNumber x) hashAlg msg - | k >= p-1 || d > 1 = Nothing -- gcd(k,p-1) is not 1 - | s == 0 = Nothing - | otherwise = Just $ Signature (r,s) - where r = expSafe g k p - h = os2ip $ hashWith hashAlg msg - s = ((h - x*r) * kInv) `mod` (p-1) - (kInv,_,d) = gcde k (p-1) +-- @k@ is an ephemeral private key. It has to be drawn uniformly at random, +-- kept secret, and used for one signature only: the private number follows +-- from a signature and its @k@, and equally from two signatures made with the +-- same @k@. None of that is visible to this function, which is why it takes +-- @k@ from the caller and checks only what it can. +signWith + :: (ByteArrayAccess msg, HashAlgorithm hash) + => Integer + -- ^ ephemeral value k, in [1, p-2] and coprime with p-1 + -> Params + -- ^ DH params (p,g) + -> PrivateNumber + -- ^ DH private key + -> hash + -- ^ collision resistant hash algorithm + -> msg + -- ^ message to sign + -> Maybe Signature +signWith = signWithBlinder 1 --- | sign message +-- | The same with a blinder for the inversion of @k@. -- --- This function will generate a random number, however --- as the signature might fail, the function will automatically retry --- until a proper signature has been created. +-- @k@ is inverted modulo @p-1@, which is even, so Fermat's little theorem +-- does not reach it the way it reaches DSA's @k@ modulo a prime order: the +-- extended Euclidean algorithm is the only way there, and its steps follow +-- the bits of what it is given. What can be done instead is to hand it +-- something else: for a unit @b@, the inverse of @k*b@ times @b@ is the +-- inverse of @k@, and the steps then follow @k*b@, which is a fresh random +-- number. A blinder of 1 is no blinding, which is what the exported +-- 'signWith' has to do, having no randomness of its own. -- -sign :: (ByteArrayAccess msg, HashAlgorithm hash, MonadRandom m) - => Params -- ^ DH params (p,g) - -> PrivateNumber -- ^ DH private key - -> hash -- ^ collision resistant hash algorithm - -> msg -- ^ message to sign - -> m Signature +-- When @b@ shares a factor with @p-1@ the algorithm reports it the same way +-- it reports one in @k@, and the answer is the same: draw again. +signWithBlinder + :: (ByteArrayAccess msg, HashAlgorithm hash) + => Integer -> Integer -> Params -> PrivateNumber -> hash -> msg -> Maybe Signature +signWithBlinder b k (Params p g _) (PrivateNumber x) hashAlg msg + | k <= 0 || k >= p - 1 || b <= 0 || d > 1 = Nothing + | s == 0 = Nothing + | otherwise = Just $ Signature r s + where + r = expSafe g k p + h = os2ip $ hashWith hashAlg msg + s = ((h - x * r) * kInv) `mod` (p - 1) + kInv = (kbInv * b) `mod` (p - 1) + (kbInv, _, d) = gcde ((k * b) `mod` (p - 1)) (p - 1) + +-- | sign message +-- +-- This function draws the ephemeral value itself, and draws a fresh one on +-- each attempt until 'signWith' accepts it, so a caller who has no particular +-- @k@ in mind should use this rather than 'signWith'. +sign + :: (ByteArrayAccess msg, HashAlgorithm hash, MonadRandom m) + => Params + -- ^ DH params (p,g) + -> PrivateNumber + -- ^ DH private key + -> hash + -- ^ collision resistant hash algorithm + -> msg + -- ^ message to sign + -> m Signature sign params@(Params p _ _) priv hashAlg msg = do - k <- generateMax (p-1) - case signWith k params priv hashAlg msg of - Nothing -> sign params priv hashAlg msg + k <- generateMax (p - 1) + -- and a blinder for the inversion of k, which is the one step here that + -- the extended Euclidean algorithm has to do + b <- generateMax (p - 1) + case signWithBlinder b k params priv hashAlg msg of + Nothing -> sign params priv hashAlg msg Just sig -> return sig -- | verify a signature -verify :: (ByteArrayAccess msg, HashAlgorithm hash) - => Params - -> PublicNumber - -> hash - -> msg - -> Signature - -> Bool -verify (Params p g _) (PublicNumber y) hashAlg msg (Signature (r,s)) - | or [r <= 0,r >= p,s <= 0,s >= (p-1)] = False - | otherwise = lhs == rhs - where h = os2ip $ hashWith hashAlg msg - lhs = expFast g h p - rhs = (expFast y r p * expFast r s p) `mod` p +verify + :: (ByteArrayAccess msg, HashAlgorithm hash) + => Params + -> PublicNumber + -> hash + -> msg + -> Signature + -> Bool +verify (Params p g _) (PublicNumber y) hashAlg msg (Signature r s) + | or [r <= 0, r >= p, s <= 0, s >= (p - 1)] = False + | otherwise = lhs == rhs + where + h = os2ip $ hashWith hashAlg msg + lhs = expFast g h p + rhs = (expFast y r p * expFast r s p) `mod` p diff --git a/Crypto/PubKey/Internal.hs b/Crypto/PubKey/Internal.hs --- a/Crypto/PubKey/Internal.hs +++ b/Crypto/PubKey/Internal.hs @@ -4,16 +4,16 @@ -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good --- -module Crypto.PubKey.Internal - ( and' - , (&&!) - , dsaTruncHash - , dsaTruncHashDigest - ) where +module Crypto.PubKey.Internal ( + and', + (&&!), + dsaTruncHash, + dsaTruncHashDigest, +) where import Data.Bits (shiftR) import Data.List (foldl') +import Prelude hiding (foldl') import Crypto.Hash import Crypto.Internal.ByteArray (ByteArrayAccess) @@ -26,13 +26,14 @@ -- | This is a strict version of &&. (&&!) :: Bool -> Bool -> Bool -True &&! True = True -True &&! False = False -False &&! True = False +True &&! True = True +True &&! False = False +False &&! True = False False &&! False = False -- | Truncate and hash for DSA and ECDSA. -dsaTruncHash :: (ByteArrayAccess msg, HashAlgorithm hash) => hash -> msg -> Integer -> Integer +dsaTruncHash + :: (ByteArrayAccess msg, HashAlgorithm hash) => hash -> msg -> Integer -> Integer dsaTruncHash hashAlg = dsaTruncHashDigest . hashWith hashAlg -- | Truncate a digest for DSA and ECDSA. @@ -40,8 +41,9 @@ dsaTruncHashDigest digest n | d > 0 = shiftR e d | otherwise = e - where e = os2ip digest - d = hashDigestSize (getHashAlg digest) * 8 - numBits n + where + e = os2ip digest + d = hashDigestSize (getHashAlg digest) * 8 - numBits n getHashAlg :: Digest hash -> hash getHashAlg _ = undefined diff --git a/Crypto/PubKey/MaskGenFunction.hs b/Crypto/PubKey/MaskGenFunction.hs --- a/Crypto/PubKey/MaskGenFunction.hs +++ b/Crypto/PubKey/MaskGenFunction.hs @@ -1,40 +1,45 @@ +{-# LANGUAGE BangPatterns #-} + -- | -- Module : Crypto.PubKey.MaskGenFunction -- License : BSD-style -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good --- -{-# LANGUAGE BangPatterns #-} -module Crypto.PubKey.MaskGenFunction - ( MaskGenAlgorithm - , mgf1 - ) where +module Crypto.PubKey.MaskGenFunction ( + MaskGenAlgorithm, + mgf1, +) where -import Crypto.Number.Serialize (i2ospOf_) -import Crypto.Hash -import Crypto.Internal.ByteArray (ByteArrayAccess, ByteArray, Bytes) +import Crypto.Hash +import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess, Bytes) import qualified Crypto.Internal.ByteArray as B +import Crypto.Number.Serialize (i2ospOf_) -- | Represent a mask generation algorithm type MaskGenAlgorithm seed output = - seed -- ^ seed - -> Int -- ^ length to generate + seed + -- ^ seed + -> Int + -- ^ length to generate -> output -- | Mask generation algorithm MGF1 -mgf1 :: (ByteArrayAccess seed, ByteArray output, HashAlgorithm hashAlg) - => hashAlg - -> seed - -> Int - -> output +mgf1 + :: (ByteArrayAccess seed, ByteArray output, HashAlgorithm hashAlg) + => hashAlg + -> seed + -> Int + -> output mgf1 hashAlg seed len = let !seededCtx = hashUpdate (hashInitWith hashAlg) seed - in B.take len $ B.concat $ map (hashCounter seededCtx) [0..fromIntegral (maxCounter-1)] + in B.take len $ + B.concat $ + map (hashCounter seededCtx) [0 .. fromIntegral (maxCounter - 1)] where - digestLen = hashDigestSize hashAlg - (chunks,left) = len `divMod` digestLen - maxCounter = if left > 0 then chunks + 1 else chunks + digestLen = hashDigestSize hashAlg + (chunks, left) = len `divMod` digestLen + maxCounter = if left > 0 then chunks + 1 else chunks hashCounter :: HashAlgorithm a => Context a -> Integer -> Digest a hashCounter ctx counter = hashFinalize $ hashUpdate ctx (i2ospOf_ 4 counter :: Bytes) diff --git a/Crypto/PubKey/RSA.hs b/Crypto/PubKey/RSA.hs --- a/Crypto/PubKey/RSA.hs +++ b/Crypto/PubKey/RSA.hs @@ -1,26 +1,35 @@ +{-# LANGUAGE ScopedTypeVariables #-} + -- | -- Module : Crypto.PubKey.RSA -- License : BSD-style -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good --- -module Crypto.PubKey.RSA - ( Error(..) - , PublicKey(..) - , PrivateKey(..) - , Blinder(..) +module Crypto.PubKey.RSA ( + Error (..), + PublicKey (..), + PrivateKey (..), + Blinder (..), + -- * Generation function - , generateWith - , generate - , generateBlinder - ) where + generateWith, + generate, + generateBlinder, +) where -import Crypto.Random.Types -import Crypto.Number.ModArithmetic (inverse, inverseCoprimes) +import Crypto.Internal.ByteArray (ScrubbedBytes) import Crypto.Number.Generate (generateMax) +import Crypto.Number.ModArithmetic ( + expSafe, + inverse, + inverseCoprimes, + inverseSafe, + ) import Crypto.Number.Prime (generatePrime) +import Crypto.Number.Serialize (os2ip) import Crypto.PubKey.RSA.Types +import Crypto.Random.Types {- -- some bad implementation will not serialize ASN.1 integer properly, leading @@ -52,39 +61,92 @@ -- -- * e=3 is popular as well, but proven to not be as secure for some cases. -- -generateWith :: (Integer, Integer) -- ^ chosen distinct primes p and q - -> Int -- ^ size in bytes - -> Integer -- ^ RSA public exponent 'e' - -> Maybe (PublicKey, PrivateKey) -generateWith (p,q) size e = - case inverse e phi of +-- /WARNING:/ Making a key is not constant time, and cannot be: the search for +-- the two primes takes as long as it takes, and 'Crypto.Number.Prime' is not +-- constant time either. What that leaks is about the search rather than +-- about the primes it settles on. Of the arithmetic that does touch them, +-- the inverse of one prime modulo the other is worked out without a side +-- channel, and so is the private exponent, which is the inverse of @e@ modulo +-- @(p-1)*(q-1)@: @e@ being public lets that be worked out as a remainder, an +-- inverse modulo @e@ itself, and an exact division, none of which follows the +-- number being inverted. An @e@ that is not prime keeps the extended +-- Euclidean algorithm, which for a public @e@ is one division by a small +-- number and then a few steps on numbers under it. +generateWith + :: (Integer, Integer) + -- ^ chosen distinct primes p and q + -> Int + -- ^ size in bytes + -> Integer + -- ^ RSA public exponent @e@ + -> Maybe (PublicKey, PrivateKey) +generateWith (p, q) size e = + case privateExponent of Nothing -> Nothing - Just d -> Just (pub,priv d) - where n = p*q - phi = (p-1)*(q-1) - -- q and p should be *distinct* *prime* numbers, hence always coprime - qinv = inverseCoprimes q p - pub = PublicKey { public_size = size - , public_n = n - , public_e = e - } - priv d = PrivateKey { private_pub = pub - , private_d = d - , private_p = p - , private_q = q - , private_dP = d `mod` (p-1) - , private_dQ = d `mod` (q-1) - , private_qinv = qinv - } + Just d -> Just (pub, priv d) + where + n = p * q + phi = (p - 1) * (q - 1) + -- The private exponent is the inverse of e modulo phi, and phi is the + -- key. The extended Euclidean algorithm would take a number of steps + -- that follows it; e being public lets the work be about e instead. + -- + -- Whatever d is, e * d = 1 + k * phi for some k under e, and reading that + -- modulo e gives k = -phi^-1 mod e -- an inverse modulo a number of a + -- handful of bits, which for a prime e is Fermat. Then d is an exact + -- division by e. Nothing in that follows phi: the remainder and the + -- division are one pass each over its limbs, and the rest is arithmetic + -- the size of e. + -- + -- Fermat wants a prime e, and rather than ask whether e is one -- which + -- costs more than everything else here -- the k it gives is checked, + -- which is arithmetic the size of e. A composite e that fails the check + -- keeps the algorithm it had. + privateExponent + | e <= 1 = Nothing + | t == 0 = Nothing -- e divides phi, so there is no inverse + | (k * t) `mod` e == e - 1 = Just ((1 + k * phi) `div` e) + | otherwise = inverse e phi + where + t = phi `mod` e + k = (e - expSafe t (e - 2) e) `mod` e + -- q and p should be *distinct* *prime* numbers, hence always coprime. + -- Both of them are the key itself, so the inverse is worked out through + -- Fermat's little theorem rather than the extended Euclidean algorithm, + -- whose steps follow the numbers it is given. It falls back on the one + -- that raises, which is what a p that is not prime deserves. + qinv = case inverseSafe q p of + Just i -> i + Nothing -> inverseCoprimes q p + pub = + PublicKey + { public_size = size + , public_n = n + , public_e = e + } + priv d = + PrivateKey + { private_pub = pub + , private_d = d + , private_p = p + , private_q = q + , private_dP = d `mod` (p - 1) + , private_dQ = d `mod` (q - 1) + , private_qinv = qinv + } -- | generate a pair of (private, public) key of size in bytes. -generate :: MonadRandom m - => Int -- ^ size in bytes - -> Integer -- ^ RSA public exponent 'e' - -> m (PublicKey, PrivateKey) +generate + :: MonadRandom m + => Int + -- ^ size in bytes + -> Integer + -- ^ RSA public exponent @e@ + -> m (PublicKey, PrivateKey) generate size e = loop where - loop = do -- loop until we find a valid key pair given e + loop = do + -- loop until we find a valid key pair given e pq <- generatePQ case generateWith pq size e of Nothing -> loop @@ -92,7 +154,7 @@ generatePQ = do p <- generatePrime (8 * (size `div` 2)) q <- generateQ p - return (p,q) + return (p, q) generateQ p = do q <- generatePrime (8 * (size - (size `div` 2))) if p == q then generateQ p else return q @@ -101,8 +163,30 @@ -- -- the unique parameter apart from the random number generator is the -- public key value N. -generateBlinder :: MonadRandom m - => Integer -- ^ RSA public N parameter. - -> m Blinder -generateBlinder n = - (\r -> Blinder r (inverseCoprimes r n)) <$> generateMax n +-- +-- The blinder holds a random number and its inverse. N is composite, so +-- Fermat has no answer for the inverse and it goes through the extended +-- Euclidean algorithm, whose steps follow the number handed to it -- which +-- would be the number the blinding rests on. So the algorithm is handed that +-- number multiplied by another random one instead, and its answer multiplied +-- by that number again, which leaves the inverse wanted and shows the +-- algorithm nothing that has anything to do with it. +generateBlinder + :: forall m + . MonadRandom m + => Integer + -- ^ RSA public N parameter. + -> m Blinder +generateBlinder n = do + r <- generateMax n + -- The inverse goes through the extended Euclidean algorithm, whose steps + -- follow the number handed to it, and r is what the blinding rests on. + -- So another random number goes with it: the product is uniform and says + -- nothing about r on its own, and multiplying its inverse by that number + -- again leaves the inverse of r. Sixteen bytes are enough to hide it and + -- are under either prime, so the product is coprime with n whenever r is, + -- as it was before. + u <- os2ip <$> (getRandomBytes 16 :: m ScrubbedBytes) + let v = (r * u) `mod` n + rm1 = (inverseCoprimes v n * u) `mod` n + return $ Blinder r rm1 diff --git a/Crypto/PubKey/RSA/OAEP.hs b/Crypto/PubKey/RSA/OAEP.hs --- a/Crypto/PubKey/RSA/OAEP.hs +++ b/Crypto/PubKey/RSA/OAEP.hs @@ -7,148 +7,222 @@ -- -- RSA OAEP mode -- --- -module Crypto.PubKey.RSA.OAEP - ( - OAEPParams(..) - , defaultOAEPParams +module Crypto.PubKey.RSA.OAEP ( + OAEPParams (..), + defaultOAEPParams, + -- * OAEP encryption - , encryptWithSeed - , encrypt + encryptWithSeed, + encrypt, + -- * OAEP decryption - , decrypt - , decryptSafer - ) where + decrypt, + decryptSafer, +) where -import Crypto.Hash -import Crypto.Random.Types -import Crypto.PubKey.RSA.Types -import Crypto.PubKey.MaskGenFunction -import Crypto.PubKey.RSA.Prim -import Crypto.PubKey.RSA (generateBlinder) -import Crypto.PubKey.Internal (and') -import Data.ByteString (ByteString) +import Crypto.Hash +import Crypto.Number.Serialize (os2ip) +import Crypto.PubKey.Internal (and') +import Crypto.PubKey.MaskGenFunction +import Crypto.PubKey.RSA (generateBlinder) +import Crypto.PubKey.RSA.Prim +import Crypto.PubKey.RSA.Types +import Crypto.Random.Types +import Data.Bits (complement, shiftR, xor, (.&.), (.|.)) +import Data.ByteString (ByteString) import qualified Data.ByteString as B -import Data.Bits (xor) +import Data.List (foldl') +import Data.Word (Word32) +import Prelude hiding (foldl') -import Crypto.Internal.ByteArray (ByteArrayAccess, ByteArray) -import qualified Crypto.Internal.ByteArray as B (convert) +import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess) +import qualified Crypto.Internal.ByteArray as B (constEq, convert) -- | Parameters for OAEP encryption/decryption data OAEPParams hash seed output = OAEPParams - { oaepHash :: hash -- ^ Hash function to use. - , oaepMaskGenAlg :: MaskGenAlgorithm seed output -- ^ Mask Gen algorithm to use. - , oaepLabel :: Maybe ByteString -- ^ Optional label prepended to message. + { oaepHash :: hash + -- ^ Hash function to use. + , oaepMaskGenAlg :: MaskGenAlgorithm seed output + -- ^ Mask Gen algorithm to use. + , oaepLabel :: Maybe ByteString + -- ^ Optional label prepended to message. } -- | Default Params with a specified hash function -defaultOAEPParams :: (ByteArrayAccess seed, ByteArray output, HashAlgorithm hash) - => hash - -> OAEPParams hash seed output +defaultOAEPParams + :: (ByteArrayAccess seed, ByteArray output, HashAlgorithm hash) + => hash + -> OAEPParams hash seed output defaultOAEPParams hashAlg = - OAEPParams { oaepHash = hashAlg - , oaepMaskGenAlg = mgf1 hashAlg - , oaepLabel = Nothing - } + OAEPParams + { oaepHash = hashAlg + , oaepMaskGenAlg = mgf1 hashAlg + , oaepLabel = Nothing + } -- | Encrypt a message using OAEP with a predefined seed. -encryptWithSeed :: HashAlgorithm hash - => ByteString -- ^ Seed - -> OAEPParams hash ByteString ByteString -- ^ OAEP params to use for encryption - -> PublicKey -- ^ Public key. - -> ByteString -- ^ Message to encrypt - -> Either Error ByteString +encryptWithSeed + :: HashAlgorithm hash + => ByteString + -- ^ Seed + -> OAEPParams hash ByteString ByteString + -- ^ OAEP params to use for encryption + -> PublicKey + -- ^ Public key. + -> ByteString + -- ^ Message to encrypt + -> Either Error ByteString encryptWithSeed seed oaep pk msg - | k < 2*hashLen+2 = Left InvalidParameters + | k < 2 * hashLen + 2 = Left InvalidParameters | B.length seed /= hashLen = Left InvalidParameters - | mLen > k - 2*hashLen-2 = Left MessageTooLong - | otherwise = Right $ ep pk em - where -- parameters - k = public_size pk - mLen = B.length msg - mgf = oaepMaskGenAlg oaep - labelHash = hashWith (oaepHash oaep) (maybe B.empty id $ oaepLabel oaep) - hashLen = hashDigestSize (oaepHash oaep) + | mLen > k - 2 * hashLen - 2 = Left MessageTooLong + | otherwise = Right $ ep pk em + where + -- parameters + k = public_size pk + mLen = B.length msg + mgf = oaepMaskGenAlg oaep + labelHash = hashWith (oaepHash oaep) (maybe B.empty id $ oaepLabel oaep) + hashLen = hashDigestSize (oaepHash oaep) - -- put fields - ps = B.replicate (k - mLen - 2*hashLen - 2) 0 - db = B.concat [B.convert labelHash, ps, B.singleton 0x1, msg] - dbmask = mgf seed (k - hashLen - 1) - maskedDB = B.pack $ B.zipWith xor db dbmask - seedMask = mgf maskedDB hashLen - maskedSeed = B.pack $ B.zipWith xor seed seedMask - em = B.concat [B.singleton 0x0,maskedSeed,maskedDB] + -- put fields + ps = B.replicate (k - mLen - 2 * hashLen - 2) 0 + db = B.concat [B.convert labelHash, ps, B.singleton 0x1, msg] + dbmask = mgf seed (k - hashLen - 1) + maskedDB = B.pack $ B.zipWith xor db dbmask + seedMask = mgf maskedDB hashLen + maskedSeed = B.pack $ B.zipWith xor seed seedMask + em = B.concat [B.singleton 0x0, maskedSeed, maskedDB] -- | Encrypt a message using OAEP -encrypt :: (HashAlgorithm hash, MonadRandom m) - => OAEPParams hash ByteString ByteString -- ^ OAEP params to use for encryption. - -> PublicKey -- ^ Public key. - -> ByteString -- ^ Message to encrypt - -> m (Either Error ByteString) +encrypt + :: (HashAlgorithm hash, MonadRandom m) + => OAEPParams hash ByteString ByteString + -- ^ OAEP params to use for encryption. + -> PublicKey + -- ^ Public key. + -> ByteString + -- ^ Message to encrypt + -> m (Either Error ByteString) encrypt oaep pk msg = do seed <- getRandomBytes hashLen return (encryptWithSeed seed oaep pk msg) where - hashLen = hashDigestSize (oaepHash oaep) + hashLen = hashDigestSize (oaepHash oaep) -- | un-pad a OAEP encoded message. -- -- It doesn't apply the RSA decryption primitive -unpad :: HashAlgorithm hash - => OAEPParams hash ByteString ByteString -- ^ OAEP params to use - -> Int -- ^ size of the key in bytes - -> ByteString -- ^ encoded message (not encrypted) - -> Either Error ByteString +-- +-- The data block is scanned in full rather than up to the 01 octet separating +-- the padding from the message, and the label hash and the leading octet are +-- compared without an early exit, so neither the length of the padding nor +-- where a comparison first differs shows up in how long this takes. +-- +-- What remains visible is the result itself: whether the block was well formed, +-- and the length of the message when it was. That is the signal Manger's +-- attack needs, so a caller that decrypts attacker-supplied ciphertext must not +-- pass the distinction on. +unpad + :: HashAlgorithm hash + => OAEPParams hash ByteString ByteString + -- ^ OAEP params to use + -> Int + -- ^ size of the key in bytes + -> ByteString + -- ^ encoded message (not encrypted) + -> Either Error ByteString unpad oaep k em | paddingSuccess = Right msg - | otherwise = Left MessageNotRecognized - where -- parameters - mgf = oaepMaskGenAlg oaep - labelHash = B.convert $ hashWith (oaepHash oaep) (maybe B.empty id $ oaepLabel oaep) - hashLen = hashDigestSize (oaepHash oaep) - -- getting em's fields - (pb, em0) = B.splitAt 1 em - (maskedSeed,maskedDB) = B.splitAt hashLen em0 - seedMask = mgf maskedDB hashLen - seed = B.pack $ B.zipWith xor maskedSeed seedMask - dbmask = mgf seed (k - hashLen - 1) - db = B.pack $ B.zipWith xor maskedDB dbmask - -- getting db's fields - (labelHash',db1) = B.splitAt hashLen db - (_,db2) = B.break (/= 0) db1 - (ps1,msg) = B.splitAt 1 db2 + | otherwise = Left MessageNotRecognized + where + -- parameters + mgf = oaepMaskGenAlg oaep + labelHash = + B.convert $ hashWith (oaepHash oaep) (maybe B.empty id $ oaepLabel oaep) + :: ByteString + hashLen = hashDigestSize (oaepHash oaep) + -- getting em's fields + (pb, em0) = B.splitAt 1 em + (maskedSeed, maskedDB) = B.splitAt hashLen em0 + seedMask = mgf maskedDB hashLen + seed = B.pack $ B.zipWith xor maskedSeed seedMask + dbmask = mgf seed (k - hashLen - 1) + db = B.pack $ B.zipWith xor maskedDB dbmask + -- getting db's fields + (labelHash', db1) = B.splitAt hashLen db - paddingSuccess = and' [ labelHash' == labelHash -- no need for constant eq - , ps1 == B.replicate 1 0x1 - , pb == B.replicate 1 0x0 - ] + -- index of the first nonzero octet in db1, or its length when every octet + -- is zero; all of them are looked at either way + oneIndex = + fst $ + foldl' + step + (fromIntegral (B.length db1) :: Word32, 1 :: Word32) + (zip [0 ..] (B.unpack db1)) + step (idx, unseen) (i, b) = (select found i idx, unseen .&. complement found) + where + w = fromIntegral b :: Word32 + -- 0 when b is zero, 1 otherwise + nonZero = (w .|. negate w) `shiftR` 31 + -- all ones at the first nonzero octet only + found = negate (unseen .&. nonZero) + select mask a b = (a .&. mask) .|. (b .&. complement mask) + ps1 = B.take 1 $ B.drop (fromIntegral oneIndex) db1 + msg = B.drop (fromIntegral oneIndex + 1) db1 + + paddingSuccess = + and' + [ labelHash' `B.constEq` labelHash + , ps1 `B.constEq` B.replicate 1 0x1 + , pb `B.constEq` B.replicate 1 0x0 + ] + -- | Decrypt a ciphertext using OAEP -- --- When the signature is not in a context where an attacker could gain --- information from the timing of the operation, the blinder can be set to None. +-- The blinder is optional and 'Nothing' is accepted, but see t'Blinder' for +-- what it covers and when leaving it out is a decision rather than a default. +-- 'decryptSafer' generates one for you. -- --- If unsure always set a blinder or use decryptSafer -decrypt :: HashAlgorithm hash - => Maybe Blinder -- ^ Optional blinder - -> OAEPParams hash ByteString ByteString -- ^ OAEP params to use for decryption - -> PrivateKey -- ^ Private key - -> ByteString -- ^ Cipher text - -> Either Error ByteString +-- Following RFC 8017, the ciphertext is rejected unless it is exactly as long +-- as the modulus (section 7.1.2, step 1) and its integer representative is +-- below the modulus (RSADP, section 5.1.2, step 1). The decryption primitive +-- normalises any multiple of the modulus away, so without the second check +-- @c + n@ would decrypt to the same message as @c@, and a ciphertext would not +-- be unique to its plaintext. Both checks are made on the ciphertext alone, +-- which is public, and report 'MessageSizeIncorrect'. +decrypt + :: HashAlgorithm hash + => Maybe Blinder + -- ^ Optional blinder + -> OAEPParams hash ByteString ByteString + -- ^ OAEP params to use for decryption + -> PrivateKey + -- ^ Private key + -> ByteString + -- ^ Cipher text + -> Either Error ByteString decrypt blinder oaep pk cipher | B.length cipher /= k = Left MessageSizeIncorrect - | k < 2*hashLen+2 = Left InvalidParameters - | otherwise = unpad oaep (private_size pk) $ dp blinder pk cipher - where -- parameters - k = private_size pk - hashLen = hashDigestSize (oaepHash oaep) + | os2ip cipher >= private_n pk = Left MessageSizeIncorrect + | k < 2 * hashLen + 2 = Left InvalidParameters + | otherwise = unpad oaep (private_size pk) $ dp blinder pk cipher + where + -- parameters + k = private_size pk + hashLen = hashDigestSize (oaepHash oaep) -- | Decrypt a ciphertext using OAEP and by automatically generating a blinder. -decryptSafer :: (HashAlgorithm hash, MonadRandom m) - => OAEPParams hash ByteString ByteString -- ^ OAEP params to use for decryption - -> PrivateKey -- ^ Private key - -> ByteString -- ^ Cipher text - -> m (Either Error ByteString) +decryptSafer + :: (HashAlgorithm hash, MonadRandom m) + => OAEPParams hash ByteString ByteString + -- ^ OAEP params to use for decryption + -> PrivateKey + -- ^ Private key + -> ByteString + -- ^ Cipher text + -> m (Either Error ByteString) decryptSafer oaep pk cipher = do blinder <- generateBlinder (private_n pk) return (decrypt (Just blinder) oaep pk cipher) diff --git a/Crypto/PubKey/RSA/PKCS15.hs b/Crypto/PubKey/RSA/PKCS15.hs --- a/Crypto/PubKey/RSA/PKCS15.hs +++ b/Crypto/PubKey/RSA/PKCS15.hs @@ -4,37 +4,42 @@ -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good --- -module Crypto.PubKey.RSA.PKCS15 - ( +module Crypto.PubKey.RSA.PKCS15 ( -- * Padding and unpadding - pad - , padSignature - , unpad + pad, + padSignature, + unpad, + -- * Private key operations - , decrypt - , decryptSafer - , sign - , signSafer + decrypt, + decryptSafer, + sign, + signSafer, + -- * Public key operations - , encrypt - , verify + encrypt, + verify, + -- * Hash ASN1 description - , HashAlgorithmASN1 - ) where + HashAlgorithmASN1, +) where -import Crypto.Random.Types -import Crypto.PubKey.Internal (and') -import Crypto.PubKey.RSA.Types -import Crypto.PubKey.RSA.Prim -import Crypto.PubKey.RSA (generateBlinder) -import Crypto.Hash +import Crypto.Hash +import Crypto.Number.Serialize (os2ip) +import Crypto.PubKey.Internal (and') +import Crypto.PubKey.RSA (generateBlinder) +import Crypto.PubKey.RSA.Prim +import Crypto.PubKey.RSA.Types +import Crypto.Random.Types -import Data.ByteString (ByteString) -import Data.Word +import Data.Bits (complement, shiftR, (.&.), (.|.)) +import Data.ByteString (ByteString) +import Data.Word -import Crypto.Internal.ByteArray (ByteArray, Bytes) +import Crypto.Internal.ByteArray (ByteArray, Bytes) import qualified Crypto.Internal.ByteArray as B +import Data.List (foldl') +import Prelude hiding (foldl') -- | A specialized class for hash algorithm that can product -- a ASN1 wrapped description the algorithm plus the content @@ -46,28 +51,314 @@ -- http://uk.emc.com/emc-plus/rsa-labs/pkcs/files/h11300-wp-pkcs-1v2-2-rsa-cryptography-standard.pdf -- EMSA-PKCS1-v1_5 instance HashAlgorithmASN1 MD2 where - hashDigestASN1 = addDigestPrefix [0x30,0x20,0x30,0x0c,0x06,0x08,0x2a,0x86,0x48,0x86,0xf7,0x0d,0x02,0x02,0x05,0x00,0x04,0x10] + hashDigestASN1 = + addDigestPrefix + [ 0x30 + , 0x20 + , 0x30 + , 0x0c + , 0x06 + , 0x08 + , 0x2a + , 0x86 + , 0x48 + , 0x86 + , 0xf7 + , 0x0d + , 0x02 + , 0x02 + , 0x05 + , 0x00 + , 0x04 + , 0x10 + ] instance HashAlgorithmASN1 MD5 where - hashDigestASN1 = addDigestPrefix [0x30,0x20,0x30,0x0c,0x06,0x08,0x2a,0x86,0x48,0x86,0xf7,0x0d,0x02,0x05,0x05,0x00,0x04,0x10] + hashDigestASN1 = + addDigestPrefix + [ 0x30 + , 0x20 + , 0x30 + , 0x0c + , 0x06 + , 0x08 + , 0x2a + , 0x86 + , 0x48 + , 0x86 + , 0xf7 + , 0x0d + , 0x02 + , 0x05 + , 0x05 + , 0x00 + , 0x04 + , 0x10 + ] instance HashAlgorithmASN1 SHA1 where - hashDigestASN1 = addDigestPrefix [0x30,0x21,0x30,0x09,0x06,0x05,0x2b,0x0e,0x03,0x02,0x1a,0x05,0x00,0x04,0x14] + hashDigestASN1 = + addDigestPrefix + [ 0x30 + , 0x21 + , 0x30 + , 0x09 + , 0x06 + , 0x05 + , 0x2b + , 0x0e + , 0x03 + , 0x02 + , 0x1a + , 0x05 + , 0x00 + , 0x04 + , 0x14 + ] instance HashAlgorithmASN1 SHA224 where - hashDigestASN1 = addDigestPrefix [0x30,0x2d,0x30,0x0d,0x06,0x09,0x60,0x86,0x48,0x01,0x65,0x03,0x04,0x02,0x04,0x05,0x00,0x04,0x1c] + hashDigestASN1 = + addDigestPrefix + [ 0x30 + , 0x2d + , 0x30 + , 0x0d + , 0x06 + , 0x09 + , 0x60 + , 0x86 + , 0x48 + , 0x01 + , 0x65 + , 0x03 + , 0x04 + , 0x02 + , 0x04 + , 0x05 + , 0x00 + , 0x04 + , 0x1c + ] instance HashAlgorithmASN1 SHA256 where - hashDigestASN1 = addDigestPrefix [0x30,0x31,0x30,0x0d,0x06,0x09,0x60,0x86,0x48,0x01,0x65,0x03,0x04,0x02,0x01,0x05,0x00,0x04,0x20] + hashDigestASN1 = + addDigestPrefix + [ 0x30 + , 0x31 + , 0x30 + , 0x0d + , 0x06 + , 0x09 + , 0x60 + , 0x86 + , 0x48 + , 0x01 + , 0x65 + , 0x03 + , 0x04 + , 0x02 + , 0x01 + , 0x05 + , 0x00 + , 0x04 + , 0x20 + ] instance HashAlgorithmASN1 SHA384 where - hashDigestASN1 = addDigestPrefix [0x30,0x41,0x30,0x0d,0x06,0x09,0x60,0x86,0x48,0x01,0x65,0x03,0x04,0x02,0x02,0x05,0x00,0x04,0x30] + hashDigestASN1 = + addDigestPrefix + [ 0x30 + , 0x41 + , 0x30 + , 0x0d + , 0x06 + , 0x09 + , 0x60 + , 0x86 + , 0x48 + , 0x01 + , 0x65 + , 0x03 + , 0x04 + , 0x02 + , 0x02 + , 0x05 + , 0x00 + , 0x04 + , 0x30 + ] instance HashAlgorithmASN1 SHA512 where - hashDigestASN1 = addDigestPrefix [0x30,0x51,0x30,0x0d,0x06,0x09,0x60,0x86,0x48,0x01,0x65,0x03,0x04,0x02,0x03,0x05,0x00,0x04,0x40] + hashDigestASN1 = + addDigestPrefix + [ 0x30 + , 0x51 + , 0x30 + , 0x0d + , 0x06 + , 0x09 + , 0x60 + , 0x86 + , 0x48 + , 0x01 + , 0x65 + , 0x03 + , 0x04 + , 0x02 + , 0x03 + , 0x05 + , 0x00 + , 0x04 + , 0x40 + ] instance HashAlgorithmASN1 SHA512t_224 where - hashDigestASN1 = addDigestPrefix [0x30,0x2d,0x30,0x0d,0x06,0x09,0x60,0x86,0x48,0x01,0x65,0x03,0x04,0x02,0x05,0x05,0x00,0x04,0x1c] + hashDigestASN1 = + addDigestPrefix + [ 0x30 + , 0x2d + , 0x30 + , 0x0d + , 0x06 + , 0x09 + , 0x60 + , 0x86 + , 0x48 + , 0x01 + , 0x65 + , 0x03 + , 0x04 + , 0x02 + , 0x05 + , 0x05 + , 0x00 + , 0x04 + , 0x1c + ] instance HashAlgorithmASN1 SHA512t_256 where - hashDigestASN1 = addDigestPrefix [0x30,0x31,0x30,0x0d,0x06,0x09,0x60,0x86,0x48,0x01,0x65,0x03,0x04,0x02,0x06,0x05,0x00,0x04,0x20] + hashDigestASN1 = + addDigestPrefix + [ 0x30 + , 0x31 + , 0x30 + , 0x0d + , 0x06 + , 0x09 + , 0x60 + , 0x86 + , 0x48 + , 0x01 + , 0x65 + , 0x03 + , 0x04 + , 0x02 + , 0x06 + , 0x05 + , 0x00 + , 0x04 + , 0x20 + ] +instance HashAlgorithmASN1 SHA3_224 where + hashDigestASN1 = + addDigestPrefix + [ 0x30 + , 0x2b + , 0x30 + , 0x0b + , 0x06 + , 0x09 + , 0x60 + , 0x86 + , 0x48 + , 0x01 + , 0x65 + , 0x03 + , 0x04 + , 0x02 + , 0x07 + , 0x04 + , 0x1c + ] +instance HashAlgorithmASN1 SHA3_256 where + hashDigestASN1 = + addDigestPrefix + [ 0x30 + , 0x2f + , 0x30 + , 0x0b + , 0x06 + , 0x09 + , 0x60 + , 0x86 + , 0x48 + , 0x01 + , 0x65 + , 0x03 + , 0x04 + , 0x02 + , 0x08 + , 0x04 + , 0x20 + ] +instance HashAlgorithmASN1 SHA3_384 where + hashDigestASN1 = + addDigestPrefix + [ 0x30 + , 0x3f + , 0x30 + , 0x0b + , 0x06 + , 0x09 + , 0x60 + , 0x86 + , 0x48 + , 0x01 + , 0x65 + , 0x03 + , 0x04 + , 0x02 + , 0x09 + , 0x04 + , 0x30 + ] +instance HashAlgorithmASN1 SHA3_512 where + hashDigestASN1 = + addDigestPrefix + [ 0x30 + , 0x4f + , 0x30 + , 0x0b + , 0x06 + , 0x09 + , 0x60 + , 0x86 + , 0x48 + , 0x01 + , 0x65 + , 0x03 + , 0x04 + , 0x02 + , 0x0a + , 0x04 + , 0x40 + ] instance HashAlgorithmASN1 RIPEMD160 where - hashDigestASN1 = addDigestPrefix [0x30,0x21,0x30,0x09,0x06,0x05,0x2b,0x24,0x03,0x02,0x01,0x05,0x00,0x04,0x14] + hashDigestASN1 = + addDigestPrefix + [ 0x30 + , 0x21 + , 0x30 + , 0x09 + , 0x06 + , 0x05 + , 0x2b + , 0x24 + , 0x03 + , 0x02 + , 0x01 + , 0x05 + , 0x00 + , 0x04 + , 0x14 + ] -- + -- ** Hack ** + -- -- this happens to not need a real ASN1 encoder, because -- thanks to the digest being a specific size AND @@ -80,7 +371,7 @@ -- Start Sequence -- ,Start Sequence -- ,OID oid --- ,Null +-- ,optional parameters (Null for SHA-2, absent for SHA-3) -- ,End Sequence -- ,OctetString digest -- ,End Sequence @@ -89,69 +380,115 @@ B.pack prefix `B.append` B.convert digest -- | This produce a standard PKCS1.5 padding for encryption -pad :: (MonadRandom m, ByteArray message) => Int -> message -> m (Either Error message) +pad + :: (MonadRandom m, ByteArray message) => Int -> message -> m (Either Error message) pad len m | B.length m > len - 11 = return (Left MessageTooLong) - | otherwise = do + | otherwise = do padding <- getNonNullRandom (len - B.length m - 3) - return $ Right $ B.concat [ B.pack [0,2], padding, B.pack [0], m ] - + return $ Right $ B.concat [B.pack [0, 2], padding, B.pack [0], m] where -- get random non-null bytes getNonNullRandom :: (ByteArray bytearray, MonadRandom m) => Int -> m bytearray getNonNullRandom n = do bs0 <- getRandomBytes n let bytes = B.pack $ filter (/= 0) $ B.unpack (bs0 :: Bytes) - left = n - B.length bytes + left = n - B.length bytes if left == 0 then return bytes - else do bend <- getNonNullRandom left - return (bytes `B.append` bend) + else do + bend <- getNonNullRandom left + return (bytes `B.append` bend) -- | Produce a standard PKCS1.5 padding for signature -padSignature :: ByteArray signature => Int -> signature -> Either Error signature +padSignature + :: ByteArray signature => Int -> signature -> Either Error signature padSignature klen signature | klen < siglen + 11 = Left SignatureTooLong - | otherwise = Right (B.pack padding `B.append` signature) + | otherwise = Right (B.pack padding `B.append` signature) where - siglen = B.length signature - padding = 0 : 1 : (replicate (klen - siglen - 3) 0xff ++ [0]) + siglen = B.length signature + padding = 0 : 1 : (replicate (klen - siglen - 3) 0xff ++ [0]) -- | Try to remove a standard PKCS1.5 encryption padding. +-- +-- The block is scanned in full rather than up to the octet ending the padding +-- string, so how long that string is does not show up in how long this takes. +-- +-- What remains visible is the result itself: whether the padding was well +-- formed, and the length of the message when it was. That is inherent to the +-- scheme, and it is the signal Bleichenbacher's attack needs, so a caller that +-- decrypts attacker-supplied ciphertext must not pass the distinction on -- +-- TLS, for instance, continues with a random premaster secret and reports +-- nothing. unpad :: ByteArray bytearray => bytearray -> Either Error bytearray unpad packed | paddingSuccess = Right m - | otherwise = Left MessageNotRecognized + | otherwise = Left MessageNotRecognized where - (zt, ps0m) = B.splitAt 2 packed - (ps, zm) = B.span (/= 0) ps0m - (z, m) = B.splitAt 1 zm - paddingSuccess = and' [ zt `B.constEq` (B.pack [0,2] :: Bytes) - , z == B.zero 1 - , B.length ps >= 8 - ] + len = B.length packed + (zt, ps0m) = B.splitAt 2 packed + -- index of the first zero octet in ps0m, counted from the start of packed, + -- or len when there is none; every octet is looked at either way + zeroIndex = fst $ foldl' step (fromIntegral len :: Word32, 1 :: Word32) indexed + indexed = zip [2 ..] (B.unpack ps0m) + step (idx, unseen) (i, b) = (select found i idx, unseen .&. complement found) + where + w = fromIntegral b :: Word32 + -- 0 when b is zero, 1 otherwise + nonZero = (w .|. negate w) `shiftR` 31 + -- all ones at the first zero octet only + found = negate (unseen .&. complement nonZero) + select mask a b = (a .&. mask) .|. (b .&. complement mask) + + psLength = fromIntegral zeroIndex - 2 :: Int + m = B.drop (fromIntegral zeroIndex + 1) packed + paddingSuccess = + and' + [ zt `B.constEq` (B.pack [0, 2] :: Bytes) + , fromIntegral zeroIndex < len + , psLength >= 8 + ] + -- | decrypt message using the private key. -- --- When the decryption is not in a context where an attacker could gain --- information from the timing of the operation, the blinder can be set to None. --- --- If unsure always set a blinder or use decryptSafer +-- The blinder is optional and 'Nothing' is accepted, but see t'Blinder' for +-- what it covers and when leaving it out is a decision rather than a default. +-- 'decryptSafer' generates one for you. -- -- The message is returned un-padded. -decrypt :: Maybe Blinder -- ^ optional blinder - -> PrivateKey -- ^ RSA private key - -> ByteString -- ^ cipher text - -> Either Error ByteString +-- +-- Following RFC 8017, the ciphertext is rejected unless it is exactly as long +-- as the modulus (section 7.2.2, step 1) and its integer representative is +-- below the modulus (RSADP, section 5.1.2, step 1). The decryption primitive +-- normalises any multiple of the modulus away, so without the second check +-- @c + n@ would decrypt to the same message as @c@, and a ciphertext would not +-- be unique to its plaintext. Both checks are made on the ciphertext alone, +-- which is public, and report 'MessageSizeIncorrect'. +decrypt + :: ByteArray ba + => Maybe Blinder + -- ^ optional blinder + -> PrivateKey + -- ^ RSA private key + -> ByteString + -- ^ cipher text + -> Either Error ba decrypt blinder pk c | B.length c /= (private_size pk) = Left MessageSizeIncorrect - | otherwise = unpad $ dp blinder pk c + | os2ip c >= private_n pk = Left MessageSizeIncorrect + -- "convert" must be apply to "c". + | otherwise = unpad $ dp blinder pk $ B.convert c -- | decrypt message using the private key and by automatically generating a blinder. -decryptSafer :: MonadRandom m - => PrivateKey -- ^ RSA private key - -> ByteString -- ^ cipher text - -> m (Either Error ByteString) +decryptSafer + :: (MonadRandom m, ByteArray ba) + => PrivateKey + -- ^ RSA private key + -> ByteString + -- ^ cipher text + -> m (Either Error ba) decryptSafer pk b = do blinder <- generateBlinder (private_n pk) return (decrypt (Just blinder) pk b) @@ -160,54 +497,79 @@ -- -- The message needs to be smaller than the key size - 11. -- The message should not be padded. -encrypt :: MonadRandom m => PublicKey -> ByteString -> m (Either Error ByteString) +encrypt + :: (MonadRandom m, ByteArray ba) => PublicKey -> ba -> m (Either Error ByteString) encrypt pk m = do r <- pad (public_size pk) m case r of Left err -> return $ Left err - Right em -> return $ Right (ep pk em) + Right em -> return $ Right (B.convert $ ep pk em) -- | sign message using private key, a hash and its ASN1 description -- --- When the signature is not in a context where an attacker could gain --- information from the timing of the operation, the blinder can be set to None. --- --- If unsure always set a blinder or use signSafer -sign :: HashAlgorithmASN1 hashAlg - => Maybe Blinder -- ^ optional blinder - -> Maybe hashAlg -- ^ hash algorithm - -> PrivateKey -- ^ private key - -> ByteString -- ^ message to sign - -> Either Error ByteString +-- The blinder is optional and 'Nothing' is accepted, but see t'Blinder' for +-- what it covers and when leaving it out is a decision rather than a default. +-- 'signSafer' generates one for you. +sign + :: HashAlgorithmASN1 hashAlg + => Maybe Blinder + -- ^ optional blinder + -> Maybe hashAlg + -- ^ hash algorithm + -> PrivateKey + -- ^ private key + -> ByteString + -- ^ message to sign + -> Either Error ByteString sign blinder hashDescr pk m = dp blinder pk `fmap` makeSignature hashDescr (private_size pk) m -- | sign message using the private key and by automatically generating a blinder. -signSafer :: (HashAlgorithmASN1 hashAlg, MonadRandom m) - => Maybe hashAlg -- ^ Hash algorithm - -> PrivateKey -- ^ private key - -> ByteString -- ^ message to sign - -> m (Either Error ByteString) +signSafer + :: (HashAlgorithmASN1 hashAlg, MonadRandom m) + => Maybe hashAlg + -- ^ Hash algorithm + -> PrivateKey + -- ^ private key + -> ByteString + -- ^ message to sign + -> m (Either Error ByteString) signSafer hashAlg pk m = do blinder <- generateBlinder (private_n pk) return (sign (Just blinder) hashAlg pk m) -- | verify message with the signed message -verify :: HashAlgorithmASN1 hashAlg - => Maybe hashAlg - -> PublicKey - -> ByteString - -> ByteString - -> Bool -verify hashAlg pk m sm = - case makeSignature hashAlg (public_size pk) m of - Left _ -> False - Right s -> s == (ep pk sm) +-- +-- Following RFC 8017, the signature is rejected unless it is exactly as long +-- as the modulus (section 8.2.2, step 1) and its integer representative is +-- below the modulus (section 5.2.2, step 1). Verification works by +-- re-encoding the expected signature and comparing it with the result of the +-- public-key operation, and that operation normalises away both the length of +-- the encoding and any multiple of the modulus; without these checks a +-- zero-padded signature, or @s + n@, would verify just as well as @s@. +verify + :: HashAlgorithmASN1 hashAlg + => Maybe hashAlg + -> PublicKey + -> ByteString + -- ^ Message + -> ByteString + -- ^ Signature + -> Bool +verify hashAlg pk m sm + | B.length sm /= public_size pk = False + | os2ip sm >= public_n pk = False + | otherwise = + case makeSignature hashAlg (public_size pk) m of + Left _ -> False + Right s -> s == (ep pk sm) -- | make signature digest, used in 'sign' and 'verify' -makeSignature :: HashAlgorithmASN1 hashAlg - => Maybe hashAlg -- ^ optional hashing algorithm - -> Int - -> ByteString - -> Either Error ByteString -makeSignature Nothing klen m = padSignature klen m +makeSignature + :: HashAlgorithmASN1 hashAlg + => Maybe hashAlg + -- ^ optional hashing algorithm + -> Int + -> ByteString + -> Either Error ByteString +makeSignature Nothing klen m = padSignature klen m makeSignature (Just hashAlg) klen m = padSignature klen (hashDigestASN1 $ hashWith hashAlg m) diff --git a/Crypto/PubKey/RSA/PSS.hs b/Crypto/PubKey/RSA/PSS.hs --- a/Crypto/PubKey/RSA/PSS.hs +++ b/Crypto/PubKey/RSA/PSS.hs @@ -4,56 +4,63 @@ -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good --- -module Crypto.PubKey.RSA.PSS - ( PSSParams(..) - , defaultPSSParams - , defaultPSSParamsSHA1 +module Crypto.PubKey.RSA.PSS ( + PSSParams (..), + defaultPSSParams, + defaultPSSParamsSHA1, + -- * Sign and verify functions - , signWithSalt - , signDigestWithSalt - , sign - , signDigest - , signSafer - , signDigestSafer - , verify - , verifyDigest - ) where + signWithSalt, + signDigestWithSalt, + sign, + signDigest, + signSafer, + signDigestSafer, + verify, + verifyDigest, +) where -import Crypto.Random.Types -import Crypto.PubKey.RSA.Types -import Crypto.PubKey.RSA.Prim -import Crypto.PubKey.RSA (generateBlinder) -import Crypto.PubKey.MaskGenFunction -import Crypto.Hash -import Crypto.Number.Basic (numBits) -import Data.Bits (xor, shiftR, (.&.)) -import Data.Word +import Crypto.Hash +import Crypto.Number.Basic (numBits) +import Crypto.Number.Serialize (os2ip) +import Crypto.PubKey.MaskGenFunction +import Crypto.PubKey.RSA (generateBlinder) +import Crypto.PubKey.RSA.Prim +import Crypto.PubKey.RSA.Types +import Crypto.Random.Types +import Data.Bits (complement, shiftR, xor, (.&.)) +import Data.Word -import Crypto.Internal.ByteArray (ByteArrayAccess, ByteArray) +import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess) import qualified Crypto.Internal.ByteArray as B (convert, eq) -import Data.ByteString (ByteString) +import Data.ByteString (ByteString) import qualified Data.ByteString as B -- | Parameters for PSS signature/verification. data PSSParams hash seed output = PSSParams - { pssHash :: hash -- ^ Hash function to use - , pssMaskGenAlg :: MaskGenAlgorithm seed output -- ^ Mask Gen algorithm to use - , pssSaltLength :: Int -- ^ Length of salt. need to be <= to hLen. - , pssTrailerField :: Word8 -- ^ Trailer field, usually 0xbc + { pssHash :: hash + -- ^ Hash function to use + , pssMaskGenAlg :: MaskGenAlgorithm seed output + -- ^ Mask Gen algorithm to use + , pssSaltLength :: Int + -- ^ Length of salt. need to be <= to hLen. + , pssTrailerField :: Word8 + -- ^ Trailer field, usually 0xbc } -- | Default Params with a specified hash function -defaultPSSParams :: (ByteArrayAccess seed, ByteArray output, HashAlgorithm hash) - => hash - -> PSSParams hash seed output +defaultPSSParams + :: (ByteArrayAccess seed, ByteArray output, HashAlgorithm hash) + => hash + -> PSSParams hash seed output defaultPSSParams hashAlg = - PSSParams { pssHash = hashAlg - , pssMaskGenAlg = mgf1 hashAlg - , pssSaltLength = hashDigestSize hashAlg - , pssTrailerField = 0xbc - } + PSSParams + { pssHash = hashAlg + , pssMaskGenAlg = mgf1 hashAlg + , pssSaltLength = hashDigestSize hashAlg + , pssTrailerField = 0xbc + } -- | Default Params using SHA1 algorithm. defaultPSSParamsSHA1 :: PSSParams SHA1 ByteString ByteString @@ -62,138 +69,214 @@ -- | Sign using the PSS parameters and the salt explicitely passed as parameters. -- -- the function ignore SaltLength from the PSS Parameters -signDigestWithSalt :: HashAlgorithm hash - => ByteString -- ^ Salt to use - -> Maybe Blinder -- ^ optional blinder to use - -> PSSParams hash ByteString ByteString -- ^ PSS Parameters to use - -> PrivateKey -- ^ RSA Private Key - -> Digest hash -- ^ Message digest - -> Either Error ByteString +-- +-- See t'Blinder' for what the optional blinder covers and when leaving it out +-- is a decision rather than a default. 'signSafer' generates one for you. +signDigestWithSalt + :: HashAlgorithm hash + => ByteString + -- ^ Salt to use + -> Maybe Blinder + -- ^ optional blinder to use + -> PSSParams hash ByteString ByteString + -- ^ PSS Parameters to use + -> PrivateKey + -- ^ RSA Private Key + -> Digest hash + -- ^ Message digest + -> Either Error ByteString signDigestWithSalt salt blinder params pk digest | emLen < hashLen + saltLen + 2 = Left InvalidParameters - | otherwise = Right $ dp blinder pk em - where k = private_size pk - emLen = if emTruncate pubBits then k - 1 else k - mHash = B.convert digest - dbLen = emLen - hashLen - 1 - saltLen = B.length salt - hashLen = hashDigestSize (pssHash params) - pubBits = numBits (private_n pk) - m' = B.concat [B.replicate 8 0,mHash,salt] - h = B.convert $ hashWith (pssHash params) m' - db = B.concat [B.replicate (dbLen - saltLen - 1) 0,B.singleton 1,salt] - dbmask = pssMaskGenAlg params h dbLen - maskedDB = B.pack $ normalizeToKeySize pubBits $ B.zipWith xor db dbmask - em = B.concat [maskedDB, h, B.singleton (pssTrailerField params)] + | otherwise = Right $ dp blinder pk em + where + k = private_size pk + emLen = if emTruncate pubBits then k - 1 else k + mHash = B.convert digest + dbLen = emLen - hashLen - 1 + saltLen = B.length salt + hashLen = hashDigestSize (pssHash params) + pubBits = numBits (private_n pk) + m' = B.concat [B.replicate 8 0, mHash, salt] + h = B.convert $ hashWith (pssHash params) m' + db = B.concat [B.replicate (dbLen - saltLen - 1) 0, B.singleton 1, salt] + dbmask = pssMaskGenAlg params h dbLen + maskedDB = B.pack $ normalizeToKeySize pubBits $ B.zipWith xor db dbmask + em = B.concat [maskedDB, h, B.singleton (pssTrailerField params)] -- | Sign using the PSS parameters and the salt explicitely passed as parameters. -- -- the function ignore SaltLength from the PSS Parameters -signWithSalt :: HashAlgorithm hash - => ByteString -- ^ Salt to use - -> Maybe Blinder -- ^ optional blinder to use - -> PSSParams hash ByteString ByteString -- ^ PSS Parameters to use - -> PrivateKey -- ^ RSA Private Key - -> ByteString -- ^ Message to sign - -> Either Error ByteString +-- +-- See t'Blinder' for what the optional blinder covers and when leaving it out +-- is a decision rather than a default. 'signSafer' generates one for you. +signWithSalt + :: HashAlgorithm hash + => ByteString + -- ^ Salt to use + -> Maybe Blinder + -- ^ optional blinder to use + -> PSSParams hash ByteString ByteString + -- ^ PSS Parameters to use + -> PrivateKey + -- ^ RSA Private Key + -> ByteString + -- ^ Message to sign + -> Either Error ByteString signWithSalt salt blinder params pk m = signDigestWithSalt salt blinder params pk mHash - where mHash = hashWith (pssHash params) m + where + mHash = hashWith (pssHash params) m -- | Sign using the PSS Parameters -sign :: (HashAlgorithm hash, MonadRandom m) - => Maybe Blinder -- ^ optional blinder to use - -> PSSParams hash ByteString ByteString -- ^ PSS Parameters to use - -> PrivateKey -- ^ RSA Private Key - -> ByteString -- ^ Message to sign - -> m (Either Error ByteString) +-- +-- See t'Blinder' for what the optional blinder covers and when leaving it out +-- is a decision rather than a default. 'signSafer' generates one for you. +sign + :: (HashAlgorithm hash, MonadRandom m) + => Maybe Blinder + -- ^ optional blinder to use + -> PSSParams hash ByteString ByteString + -- ^ PSS Parameters to use + -> PrivateKey + -- ^ RSA Private Key + -> ByteString + -- ^ Message to sign + -> m (Either Error ByteString) sign blinder params pk m = do salt <- getRandomBytes (pssSaltLength params) return (signWithSalt salt blinder params pk m) -- | Sign using the PSS Parameters -signDigest :: (HashAlgorithm hash, MonadRandom m) - => Maybe Blinder -- ^ optional blinder to use - -> PSSParams hash ByteString ByteString -- ^ PSS Parameters to use - -> PrivateKey -- ^ RSA Private Key - -> Digest hash -- ^ Message digest - -> m (Either Error ByteString) +-- +-- See t'Blinder' for what the optional blinder covers and when leaving it out +-- is a decision rather than a default. 'signSafer' generates one for you. +signDigest + :: (HashAlgorithm hash, MonadRandom m) + => Maybe Blinder + -- ^ optional blinder to use + -> PSSParams hash ByteString ByteString + -- ^ PSS Parameters to use + -> PrivateKey + -- ^ RSA Private Key + -> Digest hash + -- ^ Message digest + -> m (Either Error ByteString) signDigest blinder params pk digest = do salt <- getRandomBytes (pssSaltLength params) return (signDigestWithSalt salt blinder params pk digest) -- | Sign using the PSS Parameters and an automatically generated blinder. -signSafer :: (HashAlgorithm hash, MonadRandom m) - => PSSParams hash ByteString ByteString -- ^ PSS Parameters to use - -> PrivateKey -- ^ private key - -> ByteString -- ^ message to sign - -> m (Either Error ByteString) +signSafer + :: (HashAlgorithm hash, MonadRandom m) + => PSSParams hash ByteString ByteString + -- ^ PSS Parameters to use + -> PrivateKey + -- ^ private key + -> ByteString + -- ^ message to sign + -> m (Either Error ByteString) signSafer params pk m = do blinder <- generateBlinder (private_n pk) sign (Just blinder) params pk m -- | Sign using the PSS Parameters and an automatically generated blinder. -signDigestSafer :: (HashAlgorithm hash, MonadRandom m) - => PSSParams hash ByteString ByteString -- ^ PSS Parameters to use - -> PrivateKey -- ^ private key - -> Digest hash -- ^ message digst - -> m (Either Error ByteString) +signDigestSafer + :: (HashAlgorithm hash, MonadRandom m) + => PSSParams hash ByteString ByteString + -- ^ PSS Parameters to use + -> PrivateKey + -- ^ private key + -> Digest hash + -- ^ message digst + -> m (Either Error ByteString) signDigestSafer params pk digest = do blinder <- generateBlinder (private_n pk) signDigest (Just blinder) params pk digest -- | Verify a signature using the PSS Parameters -verify :: HashAlgorithm hash - => PSSParams hash ByteString ByteString - -- ^ PSS Parameters to use to verify, - -- this need to be identical to the parameters when signing - -> PublicKey -- ^ RSA Public Key - -> ByteString -- ^ Message to verify - -> ByteString -- ^ Signature - -> Bool +verify + :: HashAlgorithm hash + => PSSParams hash ByteString ByteString + -- ^ PSS Parameters to use to verify, + -- this need to be identical to the parameters when signing + -> PublicKey + -- ^ RSA Public Key + -> ByteString + -- ^ Message to verify + -> ByteString + -- ^ Signature + -> Bool verify params pk m = verifyDigest params pk mHash - where mHash = hashWith (pssHash params) m + where + mHash = hashWith (pssHash params) m -- | Verify a signature using the PSS Parameters -verifyDigest :: HashAlgorithm hash - => PSSParams hash ByteString ByteString - -- ^ PSS Parameters to use to verify, - -- this need to be identical to the parameters when signing - -> PublicKey -- ^ RSA Public Key - -> Digest hash -- ^ Digest to verify - -> ByteString -- ^ Signature - -> Bool +-- +-- Following RFC 8017, the signature is rejected unless it is exactly as long +-- as the modulus (section 8.1.2, step 1) and its integer representative is +-- below the modulus (RSAVP1, section 5.2.2, step 1). The public-key operation +-- normalises any multiple of the modulus away, so without the second check +-- @s + n@ would verify as readily as @s@, and a third party could turn one +-- valid signature into another without the private key. +verifyDigest + :: HashAlgorithm hash + => PSSParams hash ByteString ByteString + -- ^ PSS Parameters to use to verify, + -- this need to be identical to the parameters when signing + -> PublicKey + -- ^ RSA Public Key + -> Digest hash + -- ^ Digest to verify + -> ByteString + -- ^ Signature + -> Bool verifyDigest params pk digest s - | B.length s /= k = False - | B.any (/= 0) pre = False + | B.length s /= k = False + | os2ip s >= public_n pk = False + | B.any (/= 0) pre = False + | B.any (\x -> x .&. topBits /= 0) (B.take 1 maskedDB) = False | B.last em /= pssTrailerField params = False - | B.any (/= 0) ps0 = False - | b1 /= B.singleton 1 = False - | otherwise = B.eq h h' - where -- parameters - hashLen = hashDigestSize (pssHash params) - mHash = B.convert digest - k = public_size pk - emLen = if emTruncate pubBits then k - 1 else k - dbLen = emLen - hashLen - 1 - pubBits = numBits (public_n pk) - -- unmarshall fields - (pre, em) = B.splitAt (k - emLen) (ep pk s) -- drop 0..1 byte - maskedDB = B.take dbLen em - h = B.take hashLen $ B.drop (B.length maskedDB) em - dbmask = pssMaskGenAlg params h dbLen - db = B.pack $ normalizeToKeySize pubBits $ B.zipWith xor maskedDB dbmask - (ps0,z) = B.break (== 1) db - (b1,salt) = B.splitAt 1 z - m' = B.concat [B.replicate 8 0,mHash,salt] - h' = hashWith (pssHash params) m' + | B.any (/= 0) ps0 = False + | b1 /= B.singleton 1 = False + | pssSaltLength params /= B.length salt = False + | otherwise = B.eq h h' + where + -- parameters + hashLen = hashDigestSize (pssHash params) + mHash = B.convert digest + k = public_size pk + emLen = if emTruncate pubBits then k - 1 else k + dbLen = emLen - hashLen - 1 + pubBits = numBits (public_n pk) + -- RFC 8017 9.1.2 step 6: the leftmost 8*emLen - emBits bits of the + -- leftmost octet of maskedDB have to be zero already. Step 9 clears + -- them in DB, which is what normalizeToKeySize does below, and clearing + -- is not checking: without this an encoding with the top bit set -- one + -- the standard calls inconsistent -- verifies as though it were sound, + -- because the bit that made it wrong is thrown away before it is read. + topBits = complement (normalizeMask pubBits) + -- unmarshall fields + (pre, em) = B.splitAt (k - emLen) (ep pk s) -- drop 0..1 byte + maskedDB = B.take dbLen em + h = B.take hashLen $ B.drop (B.length maskedDB) em + dbmask = pssMaskGenAlg params h dbLen + db = B.pack $ normalizeToKeySize pubBits $ B.zipWith xor maskedDB dbmask + (ps0, z) = B.break (== 1) db + (b1, salt) = B.splitAt 1 z + m' = B.concat [B.replicate 8 0, mHash, salt] + h' = hashWith (pssHash params) m' -- When the modulus has bit length 1 modulo 8 we drop the first byte. emTruncate :: Int -> Bool -emTruncate bits = ((bits-1) .&. 0x7) == 0 +emTruncate bits = ((bits - 1) .&. 0x7) == 0 normalizeToKeySize :: Int -> [Word8] -> [Word8] -normalizeToKeySize _ [] = [] -- very unlikely -normalizeToKeySize bits (x:xs) = x .&. mask : xs - where mask = if sh > 0 then 0xff `shiftR` (8-sh) else 0xff - sh = (bits-1) .&. 0x7 +normalizeToKeySize _ [] = [] -- very unlikely +normalizeToKeySize bits (x : xs) = x .&. normalizeMask bits : xs +-- | The bits of the leftmost octet that belong to the encoding: the low +-- @emBits `mod` 8@ of them, or all eight when that is zero. Its complement +-- is the bits RFC 8017 requires to be zero. +normalizeMask :: Int -> Word8 +normalizeMask bits = if sh > 0 then 0xff `shiftR` (8 - sh) else 0xff + where + sh = (bits - 1) .&. 0x7 diff --git a/Crypto/PubKey/RSA/Prim.hs b/Crypto/PubKey/RSA/Prim.hs --- a/Crypto/PubKey/RSA/Prim.hs +++ b/Crypto/PubKey/RSA/Prim.hs @@ -4,19 +4,18 @@ -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good --- -module Crypto.PubKey.RSA.Prim - ( +module Crypto.PubKey.RSA.Prim ( -- * Decrypt primitive - dp + dp, + -- * Encrypt primitive - , ep - ) where + ep, +) where -import Crypto.PubKey.RSA.Types -import Crypto.Number.ModArithmetic (expFast, expSafe) -import Crypto.Number.Serialize (os2ip, i2ospOf_) -import Crypto.Internal.ByteArray (ByteArray) +import Crypto.Internal.ByteArray (ByteArray) +import Crypto.Number.ModArithmetic (expFast, expSafe) +import Crypto.Number.Serialize (i2ospOf_, os2ip) +import Crypto.PubKey.RSA.Types {- dpSlow computes the decrypted message not using any precomputed cache value. only n and d need to valid. -} @@ -28,28 +27,32 @@ to compute than mod pq -} dpFast :: ByteArray ba => Blinder -> PrivateKey -> ba -> ba dpFast (Blinder r rm1) pk c = - i2ospOf_ (private_size pk) (multiplication rm1 (m2 + h * (private_q pk)) (private_n pk)) - where - re = expFast r (public_e $ private_pub pk) (private_n pk) - iC = multiplication re (os2ip c) (private_n pk) - m1 = expSafe iC (private_dP pk) (private_p pk) - m2 = expSafe iC (private_dQ pk) (private_q pk) - h = ((private_qinv pk) * (m1 - m2)) `mod` (private_p pk) + i2ospOf_ + (private_size pk) + (multiplication rm1 (m2 + h * (private_q pk)) (private_n pk)) + where + re = expFast r (public_e $ private_pub pk) (private_n pk) + iC = multiplication re (os2ip c) (private_n pk) + m1 = expSafe iC (private_dP pk) (private_p pk) + m2 = expSafe iC (private_dQ pk) (private_q pk) + h = ((private_qinv pk) * (m1 - m2)) `mod` (private_p pk) dpFastNoBlinder :: ByteArray ba => PrivateKey -> ba -> ba dpFastNoBlinder pk c = i2ospOf_ (private_size pk) (m2 + h * (private_q pk)) - where iC = os2ip c - m1 = expSafe iC (private_dP pk) (private_p pk) - m2 = expSafe iC (private_dQ pk) (private_q pk) - h = ((private_qinv pk) * (m1 - m2)) `mod` (private_p pk) + where + iC = os2ip c + m1 = expSafe iC (private_dP pk) (private_p pk) + m2 = expSafe iC (private_dQ pk) (private_q pk) + h = ((private_qinv pk) * (m1 - m2)) `mod` (private_p pk) -- | Compute the RSA decrypt primitive. -- if the p and q numbers are available, then dpFast is used -- otherwise, we use dpSlow which only need d and n. dp :: ByteArray ba => Maybe Blinder -> PrivateKey -> ba -> ba dp blinder pk - | private_p pk /= 0 && private_q pk /= 0 = maybe dpFastNoBlinder dpFast blinder $ pk - | otherwise = dpSlow pk + | private_p pk /= 0 && private_q pk /= 0 = + maybe dpFastNoBlinder dpFast blinder $ pk + | otherwise = dpSlow pk -- | Compute the RSA encrypt primitive ep :: ByteArray ba => PublicKey -> ba -> ba diff --git a/Crypto/PubKey/RSA/Types.hs b/Crypto/PubKey/RSA/Types.hs --- a/Crypto/PubKey/RSA/Types.hs +++ b/Crypto/PubKey/RSA/Types.hs @@ -1,54 +1,91 @@ +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE DeriveGeneric #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + -- | -- Module : Crypto.PubKey.RSA.Types -- License : BSD-style -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good --- -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -module Crypto.PubKey.RSA.Types - ( Error(..) - , Blinder(..) - , PublicKey(..) - , PrivateKey(..) - , KeyPair(..) - , toPublicKey - , toPrivateKey - , private_size - , private_n - , private_e - ) where +module Crypto.PubKey.RSA.Types ( + Error (..), + Blinder (..), + PublicKey (..), + PrivateKey (..), + KeyPair (..), + toPublicKey, + toPrivateKey, + private_size, + private_n, + private_e, +) where -import Data.Data -import Crypto.Internal.Imports +import Crypto.Debug (DebugShow (..)) +import Crypto.Internal.Imports +import Data.Data --- | Blinder which is used to obfuscate the timing --- of the decryption primitive (used by decryption and signing). +import GHC.Generics + +-- | A blinder, which keeps the timing of the private key operation from +-- saying anything about the number it was given. +-- +-- The private exponent is not what is at risk. 'Crypto.Number.ModArithmetic.expSafe', +-- which the exponentiation goes through, keeps the /value/ of an exponent out +-- of the work it does. +-- +-- What a blinder covers is the other side. Without one, the operation runs +-- on the ciphertext as it arrived, so how long it takes depends on a number +-- an attacker may have chosen and can vary -- which is what a remote timing +-- attack on RSA needs. With one, the input is multiplied by a random value +-- first and that value divided out afterwards, so the timing carries nothing +-- an attacker can steer. +-- +-- Every private key operation here takes a @'Maybe' t'Blinder'@. The +-- @Safer@ form of each -- 'Crypto.PubKey.RSA.PKCS15.decryptSafer', +-- 'Crypto.PubKey.RSA.PKCS15.signSafer' and their kind -- generates one and is +-- the one to reach for. Pass 'Nothing' only where the input is not attacker +-- controlled and you have decided that it is not. +-- +-- A blinder costs one more exponentiation, by the public exponent, which is +-- the cheap direction: measured on an Apple M4, PKCS#1 v1.5 signing goes from +-- about 601 to about 620 microseconds. +-- +-- Use a blinder once. 'Crypto.PubKey.RSA.generateBlinder' makes a fresh one; +-- carrying one across operations is not what it is for. data Blinder = Blinder !Integer !Integer - deriving (Show,Eq) + deriving (Show, Eq) -- | error possible during encryption, decryption or signing. -data Error = - MessageSizeIncorrect -- ^ the message to decrypt is not of the correct size (need to be == private_size) - | MessageTooLong -- ^ the message to encrypt is too long - | MessageNotRecognized -- ^ the message decrypted doesn't have a PKCS15 structure (0 2 .. 0 msg) - | SignatureTooLong -- ^ the message's digest is too long - | InvalidParameters -- ^ some parameters lead to breaking assumptions. - deriving (Show,Eq) +data Error + = -- | the message to decrypt is not of the correct size (need to be == private_size) + MessageSizeIncorrect + | -- | the message to encrypt is too long + MessageTooLong + | -- | the message decrypted doesn't have a PKCS15 structure (0 2 .. 0 msg) + MessageNotRecognized + | -- | the message's digest is too long + SignatureTooLong + | -- | some parameters lead to breaking assumptions. + InvalidParameters + deriving (Show, Eq) -- | Represent a RSA public key data PublicKey = PublicKey - { public_size :: Int -- ^ size of key in bytes - , public_n :: Integer -- ^ public p*q - , public_e :: Integer -- ^ public exponent e - } deriving (Show,Read,Eq,Data) + { public_size :: Int + -- ^ size of key in bytes + , public_n :: Integer + -- ^ public p*q + , public_e :: Integer + -- ^ public exponent e + } + deriving (Show, Read, Eq, Data, Generic) instance NFData PublicKey where rnf (PublicKey sz n e) = rnf n `seq` rnf e `seq` sz `seq` () -- | Represent a RSA private key. --- +-- -- Only the pub, d fields are mandatory to fill. -- -- p, q, dP, dQ, qinv are by-product during RSA generation, @@ -56,20 +93,65 @@ -- the decrypt and sign operation. -- -- implementations can leave optional fields to 0. --- data PrivateKey = PrivateKey - { private_pub :: PublicKey -- ^ public part of a private key (size, n and e) - , private_d :: Integer -- ^ private exponent d - , private_p :: Integer -- ^ p prime number - , private_q :: Integer -- ^ q prime number - , private_dP :: Integer -- ^ d mod (p-1) - , private_dQ :: Integer -- ^ d mod (q-1) - , private_qinv :: Integer -- ^ q^(-1) mod p - } deriving (Show,Read,Eq,Data) + { private_pub :: PublicKey + -- ^ public part of a private key (size, n and e) + , private_d :: Integer + -- ^ private exponent d + , private_p :: Integer + -- ^ p prime number + , private_q :: Integer + -- ^ q prime number + , private_dP :: Integer + -- ^ d mod (p-1) + , private_dQ :: Integer + -- ^ d mod (q-1) + , private_qinv :: Integer + -- ^ q^(-1) mod p + } + deriving (Read, Eq, Data, Generic) +-- | The public part is shown; the secret fields are not. Use +-- 'Crypto.Debug.debugShow' to see them. +instance Show PrivateKey where + showsPrec d k = + showParen (d > 10) $ + showString "PrivateKey {private_pub = " + . shows (private_pub k) + . showString + ", private_d = , private_p = \ + \, private_q = , private_dP = \ + \, private_dQ = , private_qinv = }" + +instance DebugShow PrivateKey where + debugShow k = + showString "PrivateKey {private_pub = " + . shows (private_pub k) + . showString ", private_d = " + . shows (private_d k) + . showString ", private_p = " + . shows (private_p k) + . showString ", private_q = " + . shows (private_q k) + . showString ", private_dP = " + . shows (private_dP k) + . showString ", private_dQ = " + . shows (private_dQ k) + . showString ", private_qinv = " + . shows (private_qinv k) + . showChar '}' + $ "" + instance NFData PrivateKey where rnf (PrivateKey pub d p q dp dq qinv) = - rnf pub `seq` rnf d `seq` rnf p `seq` rnf q `seq` rnf dp `seq` rnf dq `seq` qinv `seq` () + rnf pub `seq` + rnf d `seq` + rnf p `seq` + rnf q `seq` + rnf dp `seq` + rnf dq `seq` + qinv `seq` + () -- | get the size in bytes from a private key private_size :: PrivateKey -> Int @@ -87,7 +169,14 @@ -- -- note the RSA private key contains already an instance of public key for efficiency newtype KeyPair = KeyPair PrivateKey - deriving (Show,Read,Eq,Data,NFData) + deriving (Read, Eq, Data, NFData) + +instance Show KeyPair where + showsPrec d (KeyPair k) = + showParen (d > 10) $ showString "KeyPair " . showsPrec 11 k + +instance DebugShow KeyPair where + debugShow (KeyPair k) = "KeyPair (" ++ debugShow k ++ ")" -- | Public key of a RSA KeyPair toPublicKey :: KeyPair -> PublicKey diff --git a/Crypto/PubKey/Rabin/Basic.hs b/Crypto/PubKey/Rabin/Basic.hs --- a/Crypto/PubKey/Rabin/Basic.hs +++ b/Crypto/PubKey/Rabin/Basic.hs @@ -1,3 +1,5 @@ +{-# LANGUAGE DeriveDataTypeable #-} + -- | -- Module : Crypto.PubKey.Rabin.Basic -- License : BSD-style @@ -7,48 +9,94 @@ -- -- Rabin cryptosystem for public-key cryptography and digital signature. -- -{-# LANGUAGE DeriveDataTypeable #-} -module Crypto.PubKey.Rabin.Basic - ( PublicKey(..) - , PrivateKey(..) - , Signature(..) - , generate - , encrypt - , encryptWithSeed - , decrypt - , sign - , signWith - , verify - ) where +-- == What is kept from the clock, and what is not +-- +-- The square roots modulo the secret primes are taken with +-- 'Crypto.Number.ModArithmetic.expSafe', which does not read the exponent it +-- is given. Two things here do read what they are given. +-- +-- Signing asks for the Jacobi symbol of the hash modulo each of the two +-- private primes, and the Jacobi symbol is computed by a sequence of +-- reductions whose number follows both of its arguments -- so the work done +-- per signature follows the primes. Key generation runs the extended +-- Euclidean algorithm on the two primes for the same reason. Neither has a +-- drop-in replacement here: a Jacobi symbol that does not read its arguments +-- is a different algorithm, not a different call. +-- +-- Around all of that is 'Integer' arithmetic, whose cost follows the size of +-- the numbers; see "Crypto.PubKey.DSA" for that note at more length. +module Crypto.PubKey.Rabin.Basic ( + PublicKey (..), + PrivateKey (..), + Signature (..), + generate, + encrypt, + encryptWithSeed, + decrypt, + sign, + signWith, + verify, +) where -import Data.ByteString (ByteString) +import Crypto.Debug (DebugShow (..)) +import Data.ByteString (ByteString) import qualified Data.ByteString as B -import Data.Data -import Data.Either (rights) +import Data.Data +import Data.Either (rights) -import Crypto.Hash -import Crypto.Number.Basic (gcde, numBytes) -import Crypto.Number.ModArithmetic (expSafe, jacobi) -import Crypto.Number.Serialize (i2osp, i2ospOf_, os2ip) -import Crypto.PubKey.Rabin.OAEP -import Crypto.PubKey.Rabin.Types -import Crypto.Random (MonadRandom, getRandomBytes) +import Crypto.Hash +import Crypto.Number.Basic (gcde, numBytes) +import Crypto.Number.ModArithmetic (expSafe, jacobi) +import Crypto.Number.Serialize (i2osp, i2ospOf_, os2ip) +import Crypto.PubKey.Rabin.OAEP +import Crypto.PubKey.Rabin.Types +import Crypto.Random (MonadRandom, getRandomBytes) -- | Represent a Rabin public key. data PublicKey = PublicKey - { public_size :: Int -- ^ size of key in bytes - , public_n :: Integer -- ^ public p*q - } deriving (Show, Read, Eq, Data) + { public_size :: Int + -- ^ size of key in bytes + , public_n :: Integer + -- ^ public p*q + } + deriving (Show, Read, Eq, Data) -- | Represent a Rabin private key. data PrivateKey = PrivateKey { private_pub :: PublicKey - , private_p :: Integer -- ^ p prime number - , private_q :: Integer -- ^ q prime number - , private_a :: Integer - , private_b :: Integer - } deriving (Show, Read, Eq, Data) + , private_p :: Integer + -- ^ p prime number + , private_q :: Integer + -- ^ q prime number + , private_a :: Integer + , private_b :: Integer + } + deriving (Read, Eq, Data) +-- | The public part is shown; the secret fields are not. Use +-- 'Crypto.Debug.debugShow' to see them. +instance Show PrivateKey where + showsPrec d k = + showParen (d > 10) $ + showString "PrivateKey {private_pub = " + . shows (private_pub k) + . showString ", private_p = , private_q = , private_a = , private_b = }" + +instance DebugShow PrivateKey where + debugShow k = + showString "PrivateKey {private_pub = " + . shows (private_pub k) + . showString ", private_p = " + . shows (private_p k) + . showString ", private_q = " + . shows (private_q k) + . showString ", private_a = " + . shows (private_a k) + . showString ", private_b = " + . shows (private_b k) + . showChar '}' + $ "" + -- | Rabin Signature. data Signature = Signature (Integer, Integer) deriving (Show, Read, Eq, Data) @@ -56,175 +104,246 @@ -- Primes p and q are both congruent 3 mod 4. -- -- See algorithm 8.11 in "Handbook of Applied Cryptography" by Alfred J. Menezes et al. -generate :: MonadRandom m - => Int - -> m (PublicKey, PrivateKey) +generate + :: MonadRandom m + => Int + -> m (PublicKey, PrivateKey) generate size = do (p, q) <- generatePrimes size (\p -> p `mod` 4 == 3) (\q -> q `mod` 4 == 3) return $ generateKeys p q - where + where generateKeys p q = - let n = p*q - (a, b, _) = gcde p q - publicKey = PublicKey { public_size = size - , public_n = n } - privateKey = PrivateKey { private_pub = publicKey - , private_p = p - , private_q = q - , private_a = a - , private_b = b } - in (publicKey, privateKey) + let n = p * q + (a, b, _) = gcde p q + publicKey = + PublicKey + { public_size = size + , public_n = n + } + privateKey = + PrivateKey + { private_pub = publicKey + , private_p = p + , private_q = q + , private_a = a + , private_b = b + } + in (publicKey, privateKey) -- | Encrypt plaintext using public key an a predefined OAEP seed. -- -- See algorithm 8.11 in "Handbook of Applied Cryptography" by Alfred J. Menezes et al. -encryptWithSeed :: HashAlgorithm hash - => ByteString -- ^ Seed - -> OAEPParams hash ByteString ByteString -- ^ OAEP padding - -> PublicKey -- ^ public key - -> ByteString -- ^ plaintext - -> Either Error ByteString +encryptWithSeed + :: HashAlgorithm hash + => ByteString + -- ^ Seed + -> OAEPParams hash ByteString ByteString + -- ^ OAEP padding + -> PublicKey + -- ^ public key + -> ByteString + -- ^ plaintext + -> Either Error ByteString encryptWithSeed seed oaep pk m = - let n = public_n pk - k = numBytes n + let n = public_n pk + k = numBytes n in do - m' <- pad seed oaep k m - let m'' = os2ip m' - return $ i2osp $ expSafe m'' 2 n + m' <- pad seed oaep k m + let m'' = os2ip m' + return $ i2osp $ expSafe m'' 2 n -- | Encrypt plaintext using public key. -encrypt :: (HashAlgorithm hash, MonadRandom m) - => OAEPParams hash ByteString ByteString -- ^ OAEP padding parameters - -> PublicKey -- ^ public key - -> ByteString -- ^ plaintext - -> m (Either Error ByteString) +encrypt + :: (HashAlgorithm hash, MonadRandom m) + => OAEPParams hash ByteString ByteString + -- ^ OAEP padding parameters + -> PublicKey + -- ^ public key + -> ByteString + -- ^ plaintext + -> m (Either Error ByteString) encrypt oaep pk m = do seed <- getRandomBytes hashLen return $ encryptWithSeed seed oaep pk m where - hashLen = hashDigestSize (oaepHash oaep) + hashLen = hashDigestSize (oaepHash oaep) -- | Decrypt ciphertext using private key. -- +-- The ciphertext has to be what 'encrypt' produces: the big-endian encoding, +-- with no leading zero octet, of a value below the modulus. Squaring and the +-- square roots that undo it work modulo n, so without that condition @c@ and +-- @c + n@ -- and @c@ with a zero octet in front of it -- would all decrypt to +-- the same message, and a ciphertext would not be unique to its plaintext. +-- -- See algorithm 8.12 in "Handbook of Applied Cryptography" by Alfred J. Menezes et al. -decrypt :: HashAlgorithm hash - => OAEPParams hash ByteString ByteString -- ^ OAEP padding parameters - -> PrivateKey -- ^ private key - -> ByteString -- ^ ciphertext - -> Maybe ByteString -decrypt oaep pk c = - let p = private_p pk - q = private_q pk - a = private_a pk - b = private_b pk - n = public_n $ private_pub pk - k = numBytes n - c' = os2ip c - solutions = rights $ toList $ mapTuple (unpad oaep k . i2ospOf_ k) $ sqroot' c' p q a b n - in if length solutions /= 1 then Nothing - else Just $ head solutions - where toList (w, x, y, z) = w:x:y:z:[] - mapTuple f (w, x, y, z) = (f w, f x, f y, f z) +decrypt + :: HashAlgorithm hash + => OAEPParams hash ByteString ByteString + -- ^ OAEP padding parameters + -> PrivateKey + -- ^ private key + -> ByteString + -- ^ ciphertext + -> Maybe ByteString +decrypt oaep pk c + | os2ip c >= public_n (private_pub pk) = Nothing + | c /= (i2osp (os2ip c) :: ByteString) = Nothing + | otherwise = + let p = private_p pk + q = private_q pk + a = private_a pk + b = private_b pk + n = public_n $ private_pub pk + k = numBytes n + c' = os2ip c + solutions = rights $ toList $ mapTuple (unpad oaep k . i2ospOf_ k) $ sqroot' c' p q a b n + in case solutions of + [x] -> Just x + _ -> Nothing + where + toList (w, x, y, z) = w : x : y : z : [] + mapTuple f (w, x, y, z) = (f w, f x, f y, f z) -- | Sign message using padding, hash algorithm and private key. -- -- See . -signWith :: HashAlgorithm hash - => ByteString -- ^ padding - -> PrivateKey -- ^ private key - -> hash -- ^ hash function - -> ByteString -- ^ message to sign - -> Either Error Signature -signWith padding pk hashAlg m = do - h <- calculateHash padding pk hashAlg m - signature <- calculateSignature h - return signature +signWith + :: HashAlgorithm hash + => ByteString + -- ^ padding + -> PrivateKey + -- ^ private key + -> hash + -- ^ hash function + -> ByteString + -- ^ message to sign + -> Either Error Signature +signWith padding pk hashAlg m + -- the signature carries the padding as an integer, so a leading zero octet + -- would not survive it: verify would hash one octet less than was signed + | B.null padding || B.index padding 0 == 0 = Left InvalidParameters + | otherwise = do + h <- calculateHash padding pk hashAlg m + signature <- calculateSignature h + return signature where calculateSignature h = let p = private_p pk - q = private_q pk - a = private_a pk + q = private_q pk + a = private_a pk b = private_b pk n = public_n $ private_pub pk - in if h >= n then Left MessageTooLong - else let (r, _, _, _) = sqroot' h p q a b n - in Right $ Signature (os2ip padding, r) + in if h >= n + then Left MessageTooLong + else + let (r, _, _, _) = sqroot' h p q a b n + in Right $ Signature (os2ip padding, r) -- | Sign message using hash algorithm and private key. -- -- See . -sign :: (MonadRandom m, HashAlgorithm hash) - => PrivateKey -- ^ private key - -> hash -- ^ hash function - -> ByteString -- ^ message to sign - -> m (Either Error Signature) +sign + :: (MonadRandom m, HashAlgorithm hash) + => PrivateKey + -- ^ private key + -> hash + -- ^ hash function + -> ByteString + -- ^ message to sign + -> m (Either Error Signature) sign pk hashAlg m = do padding <- findPadding return $ signWith padding pk hashAlg m - where + where findPadding = do padding <- getRandomBytes 8 - case calculateHash padding pk hashAlg m of - Right _ -> return padding - _ -> findPadding + case (B.index padding 0, calculateHash padding pk hashAlg m) of + -- a padding that starts with a zero octet is one signWith refuses + (0, _) -> findPadding + (_, Right _) -> return padding + _ -> findPadding -- | Calculate hash of message and padding. -- If the padding is valid, then the result of the hash operation is returned, otherwise an error. -calculateHash :: HashAlgorithm hash - => ByteString -- ^ padding - -> PrivateKey -- ^ private key - -> hash -- ^ hash function - -> ByteString -- ^ message to sign - -> Either Error Integer -calculateHash padding pk hashAlg m = +calculateHash + :: HashAlgorithm hash + => ByteString + -- ^ padding + -> PrivateKey + -- ^ private key + -> hash + -- ^ hash function + -> ByteString + -- ^ message to sign + -> Either Error Integer +calculateHash padding pk hashAlg m = let p = private_p pk q = private_q pk h = os2ip $ hashWith hashAlg $ B.append padding m in case (jacobi (h `mod` p) p, jacobi (h `mod` q) q) of (Just 1, Just 1) -> Right h - _ -> Left InvalidParameters + _ -> Left InvalidParameters -- | Verify signature using hash algorithm and public key. -- -- See . -verify :: HashAlgorithm hash - => PublicKey -- ^ private key - -> hash -- ^ hash function - -> ByteString -- ^ message - -> Signature -- ^ signature - -> Bool -verify pk hashAlg m (Signature (padding, s)) = - let n = public_n pk - p = i2osp padding - h = os2ip $ hashWith hashAlg $ B.append p m - h' = expSafe s 2 n - in h' == h +verify + :: HashAlgorithm hash + => PublicKey + -- ^ private key + -> hash + -- ^ hash function + -> ByteString + -- ^ message + -> Signature + -- ^ signature + -> Bool +verify pk hashAlg m (Signature (padding, s)) + -- squaring works modulo n, so s + n and -s would verify wherever s does + | s < 0 || s >= n = False + | padding < 0 = False + | otherwise = + let p = i2osp padding + h = os2ip $ hashWith hashAlg $ B.append p m + h' = expSafe s 2 n + in h' == h + where + n = public_n pk -- | Square roots modulo prime p where p is congruent 3 mod 4 -- Value a must be a quadratic residue modulo p (i.e. jacobi symbol (a/n) = 1). -- -- See algorithm 3.36 in "Handbook of Applied Cryptography" by Alfred J. Menezes et al. -sqroot :: Integer - -> Integer -- ^ prime p - -> (Integer, Integer) +sqroot + :: Integer + -> Integer + -- ^ prime p + -> (Integer, Integer) sqroot a p = let r = expSafe a ((p + 1) `div` 4) p in (r, -r) -- | Square roots modulo n given its prime factors p and q (both congruent 3 mod 4) -- Value a must be a quadratic residue of both modulo p and modulo q (i.e. jacobi symbols (a/p) = (a/q) = 1). --- +-- -- See algorithm 3.44 in "Handbook of Applied Cryptography" by Alfred J. Menezes et al. -sqroot' :: Integer - -> Integer -- ^ prime p - -> Integer -- ^ prime q - -> Integer -- ^ c such that c*p + d*q = 1 - -> Integer -- ^ d such that c*p + d*q = 1 - -> Integer -- ^ n = p*q - -> (Integer, Integer, Integer, Integer) +sqroot' + :: Integer + -> Integer + -- ^ prime p + -> Integer + -- ^ prime q + -> Integer + -- ^ c such that c*p + d*q = 1 + -> Integer + -- ^ d such that c*p + d*q = 1 + -> Integer + -- ^ n = p*q + -> (Integer, Integer, Integer, Integer) sqroot' a p q c d n = let (r, _) = sqroot a p (s, _) = sqroot a q - x = (r*d*q + s*c*p) `mod` n - y = (r*d*q - s*c*p) `mod` n + x = (r * d * q + s * c * p) `mod` n + y = (r * d * q - s * c * p) `mod` n in (x, (-x) `mod` n, y, (-y) `mod` n) diff --git a/Crypto/PubKey/Rabin/Modified.hs b/Crypto/PubKey/Rabin/Modified.hs --- a/Crypto/PubKey/Rabin/Modified.hs +++ b/Crypto/PubKey/Rabin/Modified.hs @@ -1,3 +1,5 @@ +{-# LANGUAGE DeriveDataTypeable #-} + -- | -- Module : Crypto.PubKey.Rabin.Modified -- License : BSD-style @@ -7,95 +9,149 @@ -- -- Modified-Rabin public-key digital signature algorithm. -- See algorithm 11.30 in "Handbook of Applied Cryptography" by Alfred J. Menezes et al. --- -{-# LANGUAGE DeriveDataTypeable #-} -module Crypto.PubKey.Rabin.Modified - ( PublicKey(..) - , PrivateKey(..) - , generate - , sign - , verify - ) where +-- The Jacobi symbols here are taken modulo the public modulus, not the +-- private primes, so what "Crypto.PubKey.Rabin.Basic" says about that does +-- not apply; the note there about 'Integer' arithmetic does. +module Crypto.PubKey.Rabin.Modified ( + PublicKey (..), + PrivateKey (..), + generate, + sign, + verify, +) where -import Data.ByteString -import Data.Data +import Crypto.Debug (DebugShow (..)) +import Data.ByteString +import Data.Data -import Crypto.Hash -import Crypto.Number.ModArithmetic (expSafe, jacobi) -import Crypto.Number.Serialize (os2ip) -import Crypto.PubKey.Rabin.Types -import Crypto.Random.Types +import Crypto.Hash +import Crypto.Number.ModArithmetic (expSafe, jacobi) +import Crypto.Number.Serialize (os2ip) +import Crypto.PubKey.Rabin.Types +import Crypto.Random.Types -- | Represent a Modified-Rabin public key. data PublicKey = PublicKey - { public_size :: Int -- ^ size of key in bytes - , public_n :: Integer -- ^ public p*q - } deriving (Show, Read, Eq, Data) + { public_size :: Int + -- ^ size of key in bytes + , public_n :: Integer + -- ^ public p*q + } + deriving (Show, Read, Eq, Data) -- | Represent a Modified-Rabin private key. data PrivateKey = PrivateKey { private_pub :: PublicKey - , private_p :: Integer -- ^ p prime number - , private_q :: Integer -- ^ q prime number - , private_d :: Integer - } deriving (Show, Read, Eq, Data) + , private_p :: Integer + -- ^ p prime number + , private_q :: Integer + -- ^ q prime number + , private_d :: Integer + } + deriving (Read, Eq, Data) +-- | The public part is shown; the secret fields are not. Use +-- 'Crypto.Debug.debugShow' to see them. +instance Show PrivateKey where + showsPrec d k = + showParen (d > 10) $ + showString "PrivateKey {private_pub = " + . shows (private_pub k) + . showString ", private_p = , private_q = , private_d = }" + +instance DebugShow PrivateKey where + debugShow k = + showString "PrivateKey {private_pub = " + . shows (private_pub k) + . showString ", private_p = " + . shows (private_p k) + . showString ", private_q = " + . shows (private_q k) + . showString ", private_d = " + . shows (private_d k) + . showChar '}' + $ "" + -- | Generate a pair of (private, public) key of size in bytes. -- Prime p is congruent 3 mod 8 and prime q is congruent 7 mod 8. -generate :: MonadRandom m - => Int - -> m (PublicKey, PrivateKey) +generate + :: MonadRandom m + => Int + -> m (PublicKey, PrivateKey) generate size = do (p, q) <- generatePrimes size (\p -> p `mod` 8 == 3) (\q -> q `mod` 8 == 7) return $ generateKeys p q - where + where generateKeys p q = - let n = p*q + let n = p * q d = (n - p - q + 5) `div` 8 - publicKey = PublicKey { public_size = size - , public_n = n } - privateKey = PrivateKey { private_pub = publicKey - , private_p = p - , private_q = q - , private_d = d } - in (publicKey, privateKey) + publicKey = + PublicKey + { public_size = size + , public_n = n + } + privateKey = + PrivateKey + { private_pub = publicKey + , private_p = p + , private_q = q + , private_d = d + } + in (publicKey, privateKey) -- | Sign message using hash algorithm and private key. -sign :: HashAlgorithm hash - => PrivateKey -- ^ private key - -> hash -- ^ hash function - -> ByteString -- ^ message to sign - -> Either Error Integer +sign + :: HashAlgorithm hash + => PrivateKey + -- ^ private key + -> hash + -- ^ hash function + -> ByteString + -- ^ message to sign + -> Either Error Integer sign pk hashAlg m = let d = private_d pk n = public_n $ private_pub pk h = os2ip $ hashWith hashAlg m limit = (n - 6) `div` 16 - in if h > limit then Left MessageTooLong - else let h' = 16*h + 6 - in case jacobi h' n of - Just 1 -> Right $ expSafe h' d n - Just (-1) -> Right $ expSafe (h' `div` 2) d n - _ -> Left InvalidParameters + in if h > limit + then Left MessageTooLong + else + let h' = 16 * h + 6 + in case jacobi h' n of + Just 1 -> Right $ expSafe h' d n + Just (-1) -> Right $ expSafe (h' `div` 2) d n + _ -> Left InvalidParameters -- | Verify signature using hash algorithm and public key. -verify :: HashAlgorithm hash - => PublicKey -- ^ public key - -> hash -- ^ hash function - -> ByteString -- ^ message - -> Integer -- ^ signature - -> Bool -verify pk hashAlg m s = - let n = public_n pk - h = os2ip $ hashWith hashAlg m - s' = expSafe s 2 n - s'' = case s' `mod` 8 of - 6 -> s' - 3 -> 2*s' - 7 -> n - s' - 2 -> 2*(n - s') - _ -> 0 - in case s'' `mod` 16 of - 6 -> let h' = (s'' - 6) `div` 16 - in h' == h - _ -> False +verify + :: HashAlgorithm hash + => PublicKey + -- ^ public key + -> hash + -- ^ hash function + -> ByteString + -- ^ message + -> Integer + -- ^ signature + -> Bool +verify pk hashAlg m s + -- squaring works modulo n, so s + n and -s would verify wherever s does + | s < 0 || s >= n = False + | otherwise = go + where + n = public_n pk + go = + let h = os2ip $ hashWith hashAlg m + s' = expSafe s 2 n + s'' = case s' `mod` 8 of + 6 -> s' + 3 -> 2 * s' + 7 -> n - s' + 2 -> 2 * (n - s') + _ -> 0 + in case s'' `mod` 16 of + 6 -> + let h' = (s'' - 6) `div` 16 + in h' == h + _ -> False diff --git a/Crypto/PubKey/Rabin/OAEP.hs b/Crypto/PubKey/Rabin/OAEP.hs --- a/Crypto/PubKey/Rabin/OAEP.hs +++ b/Crypto/PubKey/Rabin/OAEP.hs @@ -7,94 +7,145 @@ -- -- OAEP padding scheme. -- See . --- -module Crypto.PubKey.Rabin.OAEP - ( OAEPParams(..) - , defaultOAEPParams - , pad - , unpad - ) where - -import Data.ByteString (ByteString) +module Crypto.PubKey.Rabin.OAEP ( + OAEPParams (..), + defaultOAEPParams, + pad, + unpad, +) where + +import Data.Bits (complement, shiftR, xor, (.&.), (.|.)) +import Data.ByteString (ByteString) import qualified Data.ByteString as B -import Data.Bits (xor) +import Data.List (foldl') +import Data.Word (Word32) +import Prelude hiding (foldl') -import Crypto.Hash -import Crypto.Internal.ByteArray (ByteArrayAccess, ByteArray) -import qualified Crypto.Internal.ByteArray as B (convert) -import Crypto.PubKey.MaskGenFunction -import Crypto.PubKey.Internal (and') -import Crypto.PubKey.Rabin.Types +import Crypto.Hash +import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess) +import qualified Crypto.Internal.ByteArray as B (constEq, convert) +import Crypto.PubKey.Internal (and') +import Crypto.PubKey.MaskGenFunction +import Crypto.PubKey.Rabin.Types -- | Parameters for OAEP padding. data OAEPParams hash seed output = OAEPParams - { oaepHash :: hash -- ^ hash function to use - , oaepMaskGenAlg :: MaskGenAlgorithm seed output -- ^ mask Gen algorithm to use - , oaepLabel :: Maybe ByteString -- ^ optional label prepended to message + { oaepHash :: hash + -- ^ hash function to use + , oaepMaskGenAlg :: MaskGenAlgorithm seed output + -- ^ mask Gen algorithm to use + , oaepLabel :: Maybe ByteString + -- ^ optional label prepended to message } -- | Default Params with a specified hash function. -defaultOAEPParams :: (ByteArrayAccess seed, ByteArray output, HashAlgorithm hash) - => hash - -> OAEPParams hash seed output +defaultOAEPParams + :: (ByteArrayAccess seed, ByteArray output, HashAlgorithm hash) + => hash + -> OAEPParams hash seed output defaultOAEPParams hashAlg = - OAEPParams { oaepHash = hashAlg - , oaepMaskGenAlg = mgf1 hashAlg - , oaepLabel = Nothing - } + OAEPParams + { oaepHash = hashAlg + , oaepMaskGenAlg = mgf1 hashAlg + , oaepLabel = Nothing + } -- | Pad a message using OAEP. -pad :: HashAlgorithm hash - => ByteString -- ^ Seed - -> OAEPParams hash ByteString ByteString -- ^ OAEP params to use - -> Int -- ^ size of public key in bytes - -> ByteString -- ^ Message pad +pad + :: HashAlgorithm hash + => ByteString + -- ^ Seed + -> OAEPParams hash ByteString ByteString + -- ^ OAEP params to use + -> Int + -- ^ size of public key in bytes + -> ByteString + -- ^ Message pad -> Either Error ByteString pad seed oaep k msg - | k < 2*hashLen+2 = Left InvalidParameters + | k < 2 * hashLen + 2 = Left InvalidParameters | B.length seed /= hashLen = Left InvalidParameters - | mLen > k - 2*hashLen-2 = Left MessageTooLong - | otherwise = Right em - where -- parameters - mLen = B.length msg - mgf = oaepMaskGenAlg oaep - labelHash = hashWith (oaepHash oaep) (maybe B.empty id $ oaepLabel oaep) - hashLen = hashDigestSize (oaepHash oaep) - -- put fields - ps = B.replicate (k - mLen - 2*hashLen - 2) 0 - db = B.concat [B.convert labelHash, ps, B.singleton 0x1, msg] - dbmask = mgf seed (k - hashLen - 1) - maskedDB = B.pack $ B.zipWith xor db dbmask - seedMask = mgf maskedDB hashLen - maskedSeed = B.pack $ B.zipWith xor seed seedMask - em = B.concat [B.singleton 0x0, maskedSeed, maskedDB] + | mLen > k - 2 * hashLen - 2 = Left MessageTooLong + | otherwise = Right em + where + -- parameters + mLen = B.length msg + mgf = oaepMaskGenAlg oaep + labelHash = hashWith (oaepHash oaep) (maybe B.empty id $ oaepLabel oaep) + hashLen = hashDigestSize (oaepHash oaep) + -- put fields + ps = B.replicate (k - mLen - 2 * hashLen - 2) 0 + db = B.concat [B.convert labelHash, ps, B.singleton 0x1, msg] + dbmask = mgf seed (k - hashLen - 1) + maskedDB = B.pack $ B.zipWith xor db dbmask + seedMask = mgf maskedDB hashLen + maskedSeed = B.pack $ B.zipWith xor seed seedMask + em = B.concat [B.singleton 0x0, maskedSeed, maskedDB] -- | Un-pad a OAEP encoded message. -unpad :: HashAlgorithm hash - => OAEPParams hash ByteString ByteString -- ^ OAEP params to use - -> Int -- ^ size of public key in bytes - -> ByteString -- ^ encoded message (not encrypted) - -> Either Error ByteString +-- +-- The data block is scanned in full rather than up to the 01 octet separating +-- the padding from the message, and the label hash and the leading octet are +-- compared without an early exit, so neither the length of the padding nor +-- where a comparison first differs shows up in how long this takes. This is +-- what "Crypto.PubKey.RSA.OAEP" does with the same block. +-- +-- What remains visible is the result itself: whether the block was well formed, +-- and the length of the message when it was. That is the signal Manger's +-- attack needs, so a caller that decrypts attacker-supplied ciphertext must not +-- pass the distinction on. +unpad + :: HashAlgorithm hash + => OAEPParams hash ByteString ByteString + -- ^ OAEP params to use + -> Int + -- ^ size of public key in bytes + -> ByteString + -- ^ encoded message (not encrypted) + -> Either Error ByteString unpad oaep k em | paddingSuccess = Right msg - | otherwise = Left MessageNotRecognized - where -- parameters - mgf = oaepMaskGenAlg oaep - labelHash = B.convert $ hashWith (oaepHash oaep) (maybe B.empty id $ oaepLabel oaep) - hashLen = hashDigestSize (oaepHash oaep) - -- getting em's fields - (pb, em0) = B.splitAt 1 em - (maskedSeed, maskedDB) = B.splitAt hashLen em0 - seedMask = mgf maskedDB hashLen - seed = B.pack $ B.zipWith xor maskedSeed seedMask - dbmask = mgf seed (k - hashLen - 1) - db = B.pack $ B.zipWith xor maskedDB dbmask - -- getting db's fields - (labelHash', db1) = B.splitAt hashLen db - (_, db2) = B.break (/= 0) db1 - (ps1, msg) = B.splitAt 1 db2 + | otherwise = Left MessageNotRecognized + where + -- parameters + mgf = oaepMaskGenAlg oaep + labelHash = + B.convert $ hashWith (oaepHash oaep) (maybe B.empty id $ oaepLabel oaep) + :: ByteString + hashLen = hashDigestSize (oaepHash oaep) + -- getting em's fields + (pb, em0) = B.splitAt 1 em + (maskedSeed, maskedDB) = B.splitAt hashLen em0 + seedMask = mgf maskedDB hashLen + seed = B.pack $ B.zipWith xor maskedSeed seedMask + dbmask = mgf seed (k - hashLen - 1) + db = B.pack $ B.zipWith xor maskedDB dbmask + -- getting db's fields + (labelHash', db1) = B.splitAt hashLen db - paddingSuccess = and' [ labelHash' == labelHash -- no need for constant eq - , ps1 == B.replicate 1 0x1 - , pb == B.replicate 1 0x0 - ] + -- index of the first nonzero octet in db1, or its length when every octet + -- is zero; all of them are looked at either way + oneIndex = + fst $ + foldl' + step + (fromIntegral (B.length db1) :: Word32, 1 :: Word32) + (zip [0 ..] (B.unpack db1)) + step (idx, unseen) (i, b) = (select found i idx, unseen .&. complement found) + where + w = fromIntegral b :: Word32 + -- 0 when b is zero, 1 otherwise + nonZero = (w .|. negate w) `shiftR` 31 + -- all ones at the first nonzero octet only + found = negate (unseen .&. nonZero) + select mask a b = (a .&. mask) .|. (b .&. complement mask) + + ps1 = B.take 1 $ B.drop (fromIntegral oneIndex) db1 + msg = B.drop (fromIntegral oneIndex + 1) db1 + + paddingSuccess = + and' + [ labelHash' `B.constEq` labelHash + , ps1 `B.constEq` B.replicate 1 0x1 + , pb `B.constEq` B.replicate 1 0x0 + ] diff --git a/Crypto/PubKey/Rabin/RW.hs b/Crypto/PubKey/Rabin/RW.hs --- a/Crypto/PubKey/Rabin/RW.hs +++ b/Crypto/PubKey/Rabin/RW.hs @@ -1,3 +1,5 @@ +{-# LANGUAGE DeriveDataTypeable #-} + -- | -- Module : Crypto.PubKey.Rabin.RW -- License : BSD-style @@ -5,147 +7,219 @@ -- Stability : experimental -- Portability : unknown -- --- Rabin-Williams cryptosystem for public-key encryption and digital signature. +-- Rabin-Williams cryptosystem for public-key encryption and digital signature. -- See pages 323 - 324 in "Computational Number Theory and Modern Cryptography" by Song Y. Yan. -- Also inspired by https://github.com/vanilala/vncrypt/blob/master/vncrypt/vnrw_gmp.c. --- -{-# LANGUAGE DeriveDataTypeable #-} -module Crypto.PubKey.Rabin.RW - ( PublicKey(..) - , PrivateKey(..) - , generate - , encrypt - , encryptWithSeed - , decrypt - , sign - , verify - ) where +-- The Jacobi symbols here are taken modulo the public modulus, not the +-- private primes, so what "Crypto.PubKey.Rabin.Basic" says about that does +-- not apply; the note there about 'Integer' arithmetic does. +module Crypto.PubKey.Rabin.RW ( + PublicKey (..), + PrivateKey (..), + generate, + encrypt, + encryptWithSeed, + decrypt, + sign, + verify, +) where -import Data.ByteString -import Data.Data +import Crypto.Debug (DebugShow (..)) +import Data.ByteString +import Data.Data -import Crypto.Hash -import Crypto.Number.Basic (numBytes) -import Crypto.Number.ModArithmetic (expSafe, jacobi) -import Crypto.Number.Serialize (i2osp, i2ospOf_, os2ip) -import Crypto.PubKey.Rabin.OAEP -import Crypto.PubKey.Rabin.Types -import Crypto.Random.Types +import Crypto.Hash +import Crypto.Number.Basic (numBytes) +import Crypto.Number.ModArithmetic (expSafe, jacobi) +import Crypto.Number.Serialize (i2osp, i2ospOf_, os2ip) +import Crypto.PubKey.Rabin.OAEP +import Crypto.PubKey.Rabin.Types +import Crypto.Random.Types -- | Represent a Rabin-Williams public key. data PublicKey = PublicKey - { public_size :: Int -- ^ size of key in bytes - , public_n :: Integer -- ^ public p*q - } deriving (Show, Read, Eq, Data) + { public_size :: Int + -- ^ size of key in bytes + , public_n :: Integer + -- ^ public p*q + } + deriving (Show, Read, Eq, Data) -- | Represent a Rabin-Williams private key. data PrivateKey = PrivateKey { private_pub :: PublicKey - , private_p :: Integer -- ^ p prime number - , private_q :: Integer -- ^ q prime number - , private_d :: Integer - } deriving (Show, Read, Eq, Data) + , private_p :: Integer + -- ^ p prime number + , private_q :: Integer + -- ^ q prime number + , private_d :: Integer + } + deriving (Read, Eq, Data) +-- | The public part is shown; the secret fields are not. Use +-- 'Crypto.Debug.debugShow' to see them. +instance Show PrivateKey where + showsPrec d k = + showParen (d > 10) $ + showString "PrivateKey {private_pub = " + . shows (private_pub k) + . showString ", private_p = , private_q = , private_d = }" + +instance DebugShow PrivateKey where + debugShow k = + showString "PrivateKey {private_pub = " + . shows (private_pub k) + . showString ", private_p = " + . shows (private_p k) + . showString ", private_q = " + . shows (private_q k) + . showString ", private_d = " + . shows (private_d k) + . showChar '}' + $ "" + -- | Generate a pair of (private, public) key of size in bytes. -- Prime p is congruent 3 mod 8 and prime q is congruent 7 mod 8. -generate :: MonadRandom m - => Int - -> m (PublicKey, PrivateKey) +generate + :: MonadRandom m + => Int + -> m (PublicKey, PrivateKey) generate size = do - (p, q) <- generatePrimes size (\p -> p `mod` 8 == 3) (\q -> q `mod` 8 == 7) + (p, q) <- generatePrimes size (\p -> p `mod` 8 == 3) (\q -> q `mod` 8 == 7) return (generateKeys p q) - where + where generateKeys p q = - let n = p*q - d = ((p - 1)*(q - 1) `div` 4 + 1) `div` 2 - publicKey = PublicKey { public_size = size - , public_n = n } - privateKey = PrivateKey { private_pub = publicKey - , private_p = p - , private_q = q - , private_d = d } - in (publicKey, privateKey) + let n = p * q + d = ((p - 1) * (q - 1) `div` 4 + 1) `div` 2 + publicKey = + PublicKey + { public_size = size + , public_n = n + } + privateKey = + PrivateKey + { private_pub = publicKey + , private_p = p + , private_q = q + , private_d = d + } + in (publicKey, privateKey) -- | Encrypt plaintext using public key an a predefined OAEP seed. -- -- See algorithm 8.11 in "Handbook of Applied Cryptography" by Alfred J. Menezes et al. -encryptWithSeed :: HashAlgorithm hash - => ByteString -- ^ Seed - -> OAEPParams hash ByteString ByteString -- ^ OAEP padding - -> PublicKey -- ^ public key - -> ByteString -- ^ plaintext - -> Either Error ByteString +encryptWithSeed + :: HashAlgorithm hash + => ByteString + -- ^ Seed + -> OAEPParams hash ByteString ByteString + -- ^ OAEP padding + -> PublicKey + -- ^ public key + -> ByteString + -- ^ plaintext + -> Either Error ByteString encryptWithSeed seed oaep pk m = let n = public_n pk k = numBytes n in do - m' <- pad seed oaep k m - m'' <- ep1 n $ os2ip m' - return $ i2osp $ ep2 n m'' + m' <- pad seed oaep k m + m'' <- ep1 n $ os2ip m' + return $ i2osp $ ep2 n m'' -- | Encrypt plaintext using public key. -encrypt :: (HashAlgorithm hash, MonadRandom m) - => OAEPParams hash ByteString ByteString -- ^ OAEP padding parameters - -> PublicKey -- ^ public key - -> ByteString -- ^ plaintext - -> m (Either Error ByteString) +encrypt + :: (HashAlgorithm hash, MonadRandom m) + => OAEPParams hash ByteString ByteString + -- ^ OAEP padding parameters + -> PublicKey + -- ^ public key + -> ByteString + -- ^ plaintext + -> m (Either Error ByteString) encrypt oaep pk m = do seed <- getRandomBytes hashLen return $ encryptWithSeed seed oaep pk m where - hashLen = hashDigestSize (oaepHash oaep) + hashLen = hashDigestSize (oaepHash oaep) -- | Decrypt ciphertext using private key. -decrypt :: HashAlgorithm hash - => OAEPParams hash ByteString ByteString -- ^ OAEP padding parameters - -> PrivateKey -- ^ private key - -> ByteString -- ^ ciphertext - -> Maybe ByteString -decrypt oaep pk c = - let d = private_d pk - n = public_n $ private_pub pk - k = numBytes n - c' = i2ospOf_ k $ dp2 n $ dp1 d n $ os2ip c - in case unpad oaep k c' of - Left _ -> Nothing - Right p -> Just p +-- +-- The ciphertext has to be what 'encrypt' produces: the big-endian encoding, +-- with no leading zero octet, of a value below the modulus. The primitives +-- work modulo n, so without that condition @c@ and @c + n@ -- and @c@ with a +-- zero octet in front of it -- would all decrypt to the same message, and a +-- ciphertext would not be unique to its plaintext. +decrypt + :: HashAlgorithm hash + => OAEPParams hash ByteString ByteString + -- ^ OAEP padding parameters + -> PrivateKey + -- ^ private key + -> ByteString + -- ^ ciphertext + -> Maybe ByteString +decrypt oaep pk c + | os2ip c >= public_n (private_pub pk) = Nothing + | c /= (i2osp (os2ip c) :: ByteString) = Nothing + | otherwise = + let d = private_d pk + n = public_n $ private_pub pk + k = numBytes n + c' = i2ospOf_ k $ dp2 n $ dp1 d n $ os2ip c + in case unpad oaep k c' of + Left _ -> Nothing + Right p -> Just p -- | Sign message using hash algorithm and private key. -sign :: HashAlgorithm hash - => PrivateKey -- ^ private key - -> hash -- ^ hash function - -> ByteString -- ^ message to sign - -> Either Error Integer +sign + :: HashAlgorithm hash + => PrivateKey + -- ^ private key + -> hash + -- ^ hash function + -> ByteString + -- ^ message to sign + -> Either Error Integer sign pk hashAlg m = let d = private_d pk n = public_n $ private_pub pk in do - m' <- ep1 n $ os2ip $ hashWith hashAlg m - return $ dp1 d n m' + m' <- ep1 n $ os2ip $ hashWith hashAlg m + return $ dp1 d n m' -- | Verify signature using hash algorithm and public key. -verify :: HashAlgorithm hash - => PublicKey -- ^ public key - -> hash -- ^ hash function - -> ByteString -- ^ message - -> Integer -- ^ signature - -> Bool -verify pk hashAlg m s = - let n = public_n pk - h = os2ip $ hashWith hashAlg m - h' = dp2 n $ ep2 n s - in h' == h +verify + :: HashAlgorithm hash + => PublicKey + -- ^ public key + -> hash + -- ^ hash function + -> ByteString + -- ^ message + -> Integer + -- ^ signature + -> Bool +verify pk hashAlg m s + -- squaring works modulo n, so s + n and -s would verify wherever s does + | s < 0 || s >= n = False + | otherwise = + let h = os2ip $ hashWith hashAlg m + h' = dp2 n $ ep2 n s + in h' == h + where + n = public_n pk -- | Encryption primitive 1 ep1 :: Integer -> Integer -> Either Error Integer ep1 n m = - let m' = 2*m + 1 - m'' = 2*m' - m''' = 2*m'' + let m' = 2 * m + 1 + m'' = 2 * m' + m''' = 2 * m'' in case jacobi m' n of Just (-1) | m'' < n -> Right m'' - Just 1 | m''' < n -> Right m''' - _ -> Left InvalidParameters + Just 1 | m''' < n -> Right m''' + _ -> Left InvalidParameters -- | Encryption primitive 2 ep2 :: Integer -> Integer -> Integer @@ -157,10 +231,11 @@ -- | Decryption primitive 2 dp2 :: Integer -> Integer -> Integer -dp2 n c = let c' = c `div` 2 - c'' = (n - c) `div` 2 - in case c `mod` 4 of - 0 -> ((c' `div` 2 - 1) `div` 2) - 1 -> ((c'' `div` 2 - 1) `div` 2) - 2 -> ((c' - 1) `div` 2) - _ -> ((c'' - 1) `div` 2) +dp2 n c = + let c' = c `div` 2 + c'' = (n - c) `div` 2 + in case c `mod` 4 of + 0 -> ((c' `div` 2 - 1) `div` 2) + 1 -> ((c'' `div` 2 - 1) `div` 2) + 2 -> ((c' - 1) `div` 2) + _ -> ((c'' - 1) `div` 2) diff --git a/Crypto/PubKey/Rabin/Types.hs b/Crypto/PubKey/Rabin/Types.hs --- a/Crypto/PubKey/Rabin/Types.hs +++ b/Crypto/PubKey/Rabin/Types.hs @@ -4,40 +4,50 @@ -- Maintainer : Carlos Rodriguez-Vega -- Stability : experimental -- Portability : unknown --- -module Crypto.PubKey.Rabin.Types - ( Error(..) - , generatePrimes - ) where +module Crypto.PubKey.Rabin.Types ( + Error (..), + PrimeCondition, + generatePrimes, +) where import Crypto.Number.Basic (numBits) -import Crypto.Number.Prime (generatePrime, findPrimeFromWith) +import Crypto.Number.Prime (findPrimeFromWith, generatePrime) import Crypto.Random.Types type PrimeCondition = Integer -> Bool -- | Error possible during encryption, decryption or signing. -data Error = MessageTooLong -- ^ the message to encrypt is too long - | MessageNotRecognized -- ^ the message decrypted doesn't have a OAEP structure - | InvalidParameters -- ^ some parameters lead to breaking assumptions - deriving (Show, Eq) +data Error + = -- | the message to encrypt is too long + MessageTooLong + | -- | the message decrypted doesn't have a OAEP structure + MessageNotRecognized + | -- | some parameters lead to breaking assumptions + InvalidParameters + deriving (Show, Eq) -- | Generate primes p & q -generatePrimes :: MonadRandom m - => Int -- ^ size in bytes - -> PrimeCondition -- ^ condition prime p must satisfy - -> PrimeCondition -- ^ condition prime q must satisfy - -> m (Integer, Integer) -- ^ chosen distinct primes p and q +generatePrimes + :: MonadRandom m + => Int + -- ^ size in bytes + -> PrimeCondition + -- ^ condition prime p must satisfy + -> PrimeCondition + -- ^ condition prime q must satisfy + -> m (Integer, Integer) + -- ^ chosen distinct primes p and q generatePrimes size pCond qCond = - let pBits = (8*(size `div` 2)) - qBits = (8*(size - (size `div` 2))) + let pBits = (8 * (size `div` 2)) + qBits = (8 * (size - (size `div` 2))) in do - p <- generatePrime' pBits pCond - q <- generatePrime' qBits qCond - return (p, q) - where - generatePrime' bits cond = do - pr' <- generatePrime bits - let pr = findPrimeFromWith cond pr' - if numBits pr == bits then return pr + p <- generatePrime' pBits pCond + q <- generatePrime' qBits qCond + return (p, q) + where + generatePrime' bits cond = do + pr' <- generatePrime bits + let pr = findPrimeFromWith cond pr' + if numBits pr == bits + then return pr else generatePrime' bits cond diff --git a/Crypto/Random.hs b/Crypto/Random.hs --- a/Crypto/Random.hs +++ b/Crypto/Random.hs @@ -1,46 +1,55 @@ +{-# LANGUAGE CPP #-} +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + -- | -- Module : Crypto.Random -- License : BSD-style -- Maintainer : Vincent Hanquez -- Stability : stable -- Portability : good --- -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -module Crypto.Random - ( +module Crypto.Random ( -- * Deterministic instances - ChaChaDRG - , SystemDRG - , Seed + ChaChaDRG, + SystemDRG, + Seed, + -- * Seed - , seedNew - , seedFromInteger - , seedToInteger - , seedFromBinary + seedNew, + seedFromInteger, + seedToInteger, + seedFromBinary, + -- * Deterministic Random class - , getSystemDRG - , drgNew - , drgNewSeed - , drgNewTest - , withDRG - , withRandomBytes - , DRG(..) + getSystemDRG, + drgNew, + drgNewSeed, + drgNewTest, + withDRG, + withRandomBytes, + DRG (..), + -- * Random abstraction - , MonadRandom(..) - , MonadPseudoRandom - ) where + MonadRandom (..), + MonadPseudoRandom, +) where import Crypto.Error -import Crypto.Random.Types +import Crypto.Internal.Imports import Crypto.Random.ChaChaDRG import Crypto.Random.SystemDRG +import Crypto.Random.Types import Data.ByteArray (ByteArray, ByteArrayAccess, ScrubbedBytes) import qualified Data.ByteArray as B -import Crypto.Internal.Imports -import Crypto.Hash (Digest, SHA512, hash) import qualified Crypto.Number.Serialize as Serialize +#ifdef INSECURE_ENTROPY +import Crypto.Hash (SHA512, Context) +import Crypto.Hash.IO +import Data.Memory.PtrMethods (memSet) +import Foreign.Ptr (Ptr, castPtr) +#endif + newtype Seed = Seed ScrubbedBytes deriving (ByteArrayAccess) @@ -50,27 +59,43 @@ -- | Create a new Seed from system entropy seedNew :: MonadRandom randomly => randomly Seed + +#ifdef INSECURE_ENTROPY -- The degree of its randomness depends on the source, e.g. for iOS we -- have to compile with DoNotUseEntropy flag, as iOS doesn't allow -- using getentropy, and on some other systems it can be also -- potentially comprisable sources. Hashing of entropy before using -- it as a seed is a common mitigation for attacks via RNG/entropy -- source. -seedNew = (Seed . B.take seedLength . B.convert . (hash :: ScrubbedBytes -> Digest SHA512)) `fmap` getRandomBytes 64 +seedNew = (Seed . scrubbedHash512) `fmap` getRandomBytes 64 +scrubbedHash512 :: ScrubbedBytes -> ScrubbedBytes +scrubbedHash512 = B.take seedLength . hash512 + where + hash512 ba = B.unsafeCreate (hashDigestSize (undefined :: SHA512)) $ hashIO ba + hashIO ba ptr = do + ctx <- hashMutableInit + hashMutableUpdate (ctx :: MutableContext SHA512) ba + B.withByteArray ctx $ \pctx -> do + hashInternalFinalize (castPtr pctx :: Ptr (Context SHA512)) ptr + memSet pctx 0 $ hashInternalContextSize (undefined :: SHA512) +#else +seedNew = Seed `fmap` getRandomBytes seedLength +#endif + -- | Convert a Seed to an integer seedToInteger :: Seed -> Integer seedToInteger (Seed b) = Serialize.os2ip b -- | Convert an integer to a Seed seedFromInteger :: Integer -> Seed -seedFromInteger i = Seed $ Serialize.i2ospOf_ seedLength (i `mod` 2^(seedLength * 8)) +seedFromInteger i = Seed $ Serialize.i2ospOf_ seedLength (i `mod` 2 ^ (seedLength * 8)) -- | Convert a binary to a seed seedFromBinary :: ByteArrayAccess b => b -> CryptoFailable Seed seedFromBinary b | B.length b /= 40 = CryptoFailed (CryptoError_SeedSizeInvalid) - | otherwise = CryptoPassed $ Seed $ B.convert b + | otherwise = CryptoPassed $ Seed $ B.convert b -- | Create a new DRG from system entropy drgNew :: MonadRandom randomly => randomly ChaChaDRG @@ -102,4 +127,5 @@ -- This is equivalent to use Control.Arrow 'first' with 'randomBytesGenerate' withRandomBytes :: (ByteArray ba, DRG g) => g -> Int -> (ba -> a) -> (a, g) withRandomBytes rng len f = (f bs, rng') - where (bs, rng') = randomBytesGenerate len rng + where + (bs, rng') = randomBytesGenerate len rng diff --git a/Crypto/Random/ChaChaDRG.hs b/Crypto/Random/ChaChaDRG.hs --- a/Crypto/Random/ChaChaDRG.hs +++ b/Crypto/Random/ChaChaDRG.hs @@ -1,22 +1,26 @@ +{-# LANGUAGE GeneralizedNewtypeDeriving #-} + -- | -- Module : Crypto.Random.ChaChaDRG -- License : BSD-style -- Maintainer : Vincent Hanquez -- Stability : stable -- Portability : good --- -{-# LANGUAGE GeneralizedNewtypeDeriving #-} -module Crypto.Random.ChaChaDRG - ( ChaChaDRG - , initialize - , initializeWords - ) where +module Crypto.Random.ChaChaDRG ( + ChaChaDRG, + initialize, + initializeWords, +) where -import Crypto.Random.Types -import Crypto.Internal.Imports -import Crypto.Internal.ByteArray (ByteArray, ByteArrayAccess, ScrubbedBytes) +import Crypto.Internal.ByteArray ( + ByteArray, + ByteArrayAccess, + ScrubbedBytes, + ) import qualified Crypto.Internal.ByteArray as B -import Foreign.Storable (pokeElemOff) +import Crypto.Internal.Imports +import Crypto.Random.Types +import Foreign.Storable (pokeElemOff) import qualified Crypto.Cipher.ChaCha as C @@ -29,18 +33,24 @@ -- | Initialize a new ChaCha context with the number of rounds, -- the key and the nonce associated. -initialize :: ByteArrayAccess seed - => seed -- ^ 40 bytes of seed - -> ChaChaDRG -- ^ the initial ChaCha state +initialize + :: ByteArrayAccess seed + => seed + -- ^ 40 bytes of seed + -> ChaChaDRG + -- ^ the initial ChaCha state initialize seed = ChaChaDRG $ C.initializeSimple seed -- | Initialize a new ChaCha context from 5-tuple of words64. -- This interface is useful when creating a RNG out of tests generators (e.g. QuickCheck). initializeWords :: (Word64, Word64, Word64, Word64, Word64) -> ChaChaDRG -initializeWords (a,b,c,d,e) = initialize (B.allocAndFreeze 40 fill :: ScrubbedBytes) - where fill s = mapM_ (uncurry (pokeElemOff s)) [(0,a), (1,b), (2,c), (3,d), (4,e)] +initializeWords (a, b, c, d, e) = initialize (B.allocAndFreeze 40 fill :: ScrubbedBytes) + where + fill s = mapM_ (uncurry (pokeElemOff s)) [(0, a), (1, b), (2, c), (3, d), (4, e)] generate :: ByteArray output => Int -> ChaChaDRG -> (output, ChaChaDRG) generate nbBytes st@(ChaChaDRG prevSt) | nbBytes <= 0 = (B.empty, st) - | otherwise = let (output, newSt) = C.generateSimple prevSt nbBytes in (output, ChaChaDRG newSt) + | otherwise = + let (output, newSt) = C.generateSimple prevSt nbBytes + in (output, ChaChaDRG newSt) diff --git a/Crypto/Random/Entropy.hs b/Crypto/Random/Entropy.hs --- a/Crypto/Random/Entropy.hs +++ b/Crypto/Random/Entropy.hs @@ -4,16 +4,15 @@ -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good --- -module Crypto.Random.Entropy - ( getEntropy - ) where +module Crypto.Random.Entropy ( + getEntropy, +) where -import Data.Maybe (catMaybes) -import Crypto.Internal.ByteArray (ByteArray) +import Crypto.Internal.ByteArray (ByteArray) import qualified Crypto.Internal.ByteArray as B +import Data.Maybe (catMaybes) -import Crypto.Random.Entropy.Unsafe +import Crypto.Random.Entropy.Unsafe -- | Get some entropy from the system source of entropy getEntropy :: ByteArray byteArray => Int -> IO byteArray diff --git a/Crypto/Random/Entropy/RDRand.hs b/Crypto/Random/Entropy/RDRand.hs --- a/Crypto/Random/Entropy/RDRand.hs +++ b/Crypto/Random/Entropy/RDRand.hs @@ -1,38 +1,39 @@ +{-# LANGUAGE ForeignFunctionInterface #-} + -- | -- Module : Crypto.Random.Entropy.RDRand -- License : BSD-style -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good --- -{-# LANGUAGE ForeignFunctionInterface #-} -module Crypto.Random.Entropy.RDRand - ( RDRand - ) where +module Crypto.Random.Entropy.RDRand ( + RDRand, +) where -import Foreign.Ptr -import Foreign.C.Types -import Data.Word (Word8) import Crypto.Random.Entropy.Source +import Data.Word (Word8) +import Foreign.C.Types +import Foreign.Ptr foreign import ccall unsafe "crypton_cpu_has_rdrand" - c_cpu_has_rdrand :: IO CInt + c_cpu_has_rdrand :: IO CInt foreign import ccall unsafe "crypton_get_rand_bytes" - c_get_rand_bytes :: Ptr Word8 -> CInt -> IO CInt + c_get_rand_bytes :: Ptr Word8 -> CInt -> IO CInt -- | Fake handle to Intel RDRand entropy CPU instruction data RDRand = RDRand instance EntropySource RDRand where - entropyOpen = rdrandGrab + entropyOpen = rdrandGrab entropyGather _ = rdrandGetBytes - entropyClose _ = return () + entropyClose _ = return () rdrandGrab :: IO (Maybe RDRand) rdrandGrab = supported `fmap` c_cpu_has_rdrand - where supported 0 = Nothing - supported _ = Just RDRand + where + supported 0 = Nothing + supported _ = Just RDRand rdrandGetBytes :: Ptr Word8 -> Int -> IO Int rdrandGetBytes ptr sz = fromIntegral `fmap` c_get_rand_bytes ptr (fromIntegral sz) diff --git a/Crypto/Random/Entropy/Source.hs b/Crypto/Random/Entropy/Source.hs --- a/Crypto/Random/Entropy/Source.hs +++ b/Crypto/Random/Entropy/Source.hs @@ -4,19 +4,20 @@ -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good --- module Crypto.Random.Entropy.Source where -import Foreign.Ptr import Data.Word (Word8) +import Foreign.Ptr -- | A handle to an entropy maker, either a system capability -- or a hardware generator. class EntropySource a where -- | Try to open an handle for this source - entropyOpen :: IO (Maybe a) + entropyOpen :: IO (Maybe a) + -- | Try to gather a number of entropy bytes into a buffer. -- Return the number of actual bytes gathered entropyGather :: a -> Ptr Word8 -> Int -> IO Int + -- | Close an open handle - entropyClose :: a -> IO () + entropyClose :: a -> IO () diff --git a/Crypto/Random/Entropy/Unix.hs b/Crypto/Random/Entropy/Unix.hs --- a/Crypto/Random/Entropy/Unix.hs +++ b/Crypto/Random/Entropy/Unix.hs @@ -1,29 +1,30 @@ +{-# LANGUAGE ScopedTypeVariables #-} + -- | -- Module : Crypto.Random.Entropy.Unix -- License : BSD-style -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good --- -{-# LANGUAGE ScopedTypeVariables #-} -module Crypto.Random.Entropy.Unix - ( DevRandom - , DevURandom - ) where +module Crypto.Random.Entropy.Unix ( + DevRandom, + DevURandom, +) where -import Foreign.Ptr -import Data.Word (Word8) +import qualified Control.Exception as E import Crypto.Random.Entropy.Source -import Control.Exception as E +import Data.Word (Word8) +import Foreign.Ptr +import qualified System.IO.Error as E ---import System.Posix.Types (Fd) +-- import System.Posix.Types (Fd) import System.IO type H = Handle type DeviceName = String -- | Entropy device @/dev/random@ on unix system -newtype DevRandom = DevRandom DeviceName +newtype DevRandom = DevRandom DeviceName -- | Entropy device @/dev/urandom@ on unix system newtype DevURandom = DevURandom DeviceName @@ -32,43 +33,46 @@ entropyOpen = fmap DevRandom `fmap` testOpen "/dev/random" entropyGather (DevRandom name) ptr n = withDev name $ \h -> gatherDevEntropyNonBlock h ptr n - entropyClose (DevRandom _) = return () + entropyClose (DevRandom _) = return () instance EntropySource DevURandom where entropyOpen = fmap DevURandom `fmap` testOpen "/dev/urandom" entropyGather (DevURandom name) ptr n = withDev name $ \h -> gatherDevEntropy h ptr n - entropyClose (DevURandom _) = return () + entropyClose (DevURandom _) = return () testOpen :: DeviceName -> IO (Maybe DeviceName) testOpen filepath = do d <- openDev filepath case d of Nothing -> return Nothing - Just h -> closeDev h >> return (Just filepath) + Just h -> closeDev h >> return (Just filepath) openDev :: String -> IO (Maybe H) -openDev filepath = (Just `fmap` openAndNoBuffering) `E.catch` \(_ :: IOException) -> return Nothing - where openAndNoBuffering = do - h <- openBinaryFile filepath ReadMode - hSetBuffering h NoBuffering - return h +openDev filepath = + (Just `fmap` openAndNoBuffering) `E.catchIOError` \_ -> return Nothing + where + openAndNoBuffering = do + h <- openBinaryFile filepath ReadMode + hSetBuffering h NoBuffering + return h withDev :: String -> (H -> IO a) -> IO a -withDev filepath f = openDev filepath >>= \h -> - case h of - Nothing -> error ("device " ++ filepath ++ " cannot be grabbed") - Just fd -> f fd `E.finally` closeDev fd +withDev filepath f = + openDev filepath >>= \h -> + case h of + Nothing -> error ("device " ++ filepath ++ " cannot be grabbed") + Just fd -> f fd `E.finally` closeDev fd closeDev :: H -> IO () -closeDev h = hClose h `E.catch` \(_ :: IOException) -> return () +closeDev h = hClose h `E.catchIOError` \_ -> return () gatherDevEntropy :: H -> Ptr Word8 -> Int -> IO Int gatherDevEntropy h ptr sz = - (fromIntegral `fmap` hGetBufSome h ptr (fromIntegral sz)) - `E.catch` \(_ :: IOException) -> return 0 + (fromIntegral `fmap` hGetBufSome h ptr (fromIntegral sz)) + `E.catchIOError` \_ -> return 0 gatherDevEntropyNonBlock :: H -> Ptr Word8 -> Int -> IO Int gatherDevEntropyNonBlock h ptr sz = - (fromIntegral `fmap` hGetBufNonBlocking h ptr (fromIntegral sz)) - `E.catch` \(_ :: IOException) -> return 0 + (fromIntegral `fmap` hGetBufNonBlocking h ptr (fromIntegral sz)) + `E.catchIOError` \_ -> return 0 diff --git a/Crypto/Random/Entropy/Unsafe.hs b/Crypto/Random/Entropy/Unsafe.hs --- a/Crypto/Random/Entropy/Unsafe.hs +++ b/Crypto/Random/Entropy/Unsafe.hs @@ -4,15 +4,14 @@ -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good --- -module Crypto.Random.Entropy.Unsafe - ( replenish - , module Crypto.Random.Entropy.Backend - ) where +module Crypto.Random.Entropy.Unsafe ( + replenish, + module Crypto.Random.Entropy.Backend, +) where +import Crypto.Random.Entropy.Backend import Data.Word (Word8) import Foreign.Ptr (Ptr, plusPtr) -import Crypto.Random.Entropy.Backend -- | Refill the entropy in a buffer -- @@ -22,12 +21,14 @@ -- If the buffer cannot be refill after 3 loopings, this will raise -- an User Error exception replenish :: Int -> [EntropyBackend] -> Ptr Word8 -> IO () -replenish _ [] _ = fail "crypton: random: cannot get any source of entropy on this system" +replenish _ [] _ = fail "crypton: random: cannot get any source of entropy on this system" replenish poolSize backends ptr = loop 0 backends ptr poolSize - where loop :: Int -> [EntropyBackend] -> Ptr Word8 -> Int -> IO () - loop _ _ _ 0 = return () - loop retry [] p n | retry == 3 = error "crypton: random: cannot fully replenish" - | otherwise = loop (retry+1) backends p n - loop retry (b:bs) p n = do - r <- gatherBackend b p n - loop retry bs (p `plusPtr` r) (n - r) + where + loop :: Int -> [EntropyBackend] -> Ptr Word8 -> Int -> IO () + loop _ _ _ 0 = return () + loop retry [] p n + | retry == 3 = error "crypton: random: cannot fully replenish" + | otherwise = loop (retry + 1) backends p n + loop retry (b : bs) p n = do + r <- gatherBackend b p n + loop retry bs (p `plusPtr` r) (n - r) diff --git a/Crypto/Random/EntropyPool.hs b/Crypto/Random/EntropyPool.hs --- a/Crypto/Random/EntropyPool.hs +++ b/Crypto/Random/EntropyPool.hs @@ -4,22 +4,21 @@ -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good --- -module Crypto.Random.EntropyPool - ( EntropyPool - , createEntropyPool - , createEntropyPoolWith - , getEntropyFrom - ) where +module Crypto.Random.EntropyPool ( + EntropyPool, + createEntropyPool, + createEntropyPoolWith, + getEntropyFrom, +) where -import Control.Concurrent.MVar -import Crypto.Random.Entropy.Unsafe -import Crypto.Internal.ByteArray (ByteArray, ScrubbedBytes) +import Control.Concurrent.MVar +import Crypto.Internal.ByteArray (ByteArray, ScrubbedBytes) import qualified Crypto.Internal.ByteArray as B -import Data.Word (Word8) -import Data.Maybe (catMaybes) -import Foreign.Marshal.Utils (copyBytes) -import Foreign.Ptr (plusPtr, Ptr) +import Crypto.Random.Entropy.Unsafe +import Data.Maybe (catMaybes) +import Data.Word (Word8) +import Foreign.Marshal.Utils (copyBytes) +import Foreign.Ptr (Ptr, plusPtr) -- | Pool of Entropy. Contains a self-mutating pool of entropy, -- that is always guaranteed to contain data. @@ -35,7 +34,7 @@ -- the pool can be shared between multiples RNGs. createEntropyPoolWith :: Int -> [EntropyBackend] -> IO EntropyPool createEntropyPoolWith poolSize backends = do - m <- newMVar 0 + m <- newMVar 0 sm <- B.alloc poolSize (replenish poolSize backends) return $ EntropyPool backends m sm @@ -54,17 +53,18 @@ B.withByteArray sm $ \entropyPoolPtr -> modifyMVar_ posM $ \pos -> copyLoop outPtr entropyPoolPtr pos n - where poolSize = B.length sm - copyLoop d s pos left - | left == 0 = return pos - | otherwise = do - wrappedPos <- - if pos == poolSize - then replenish poolSize backends s >> return 0 - else return pos - let m = min (poolSize - wrappedPos) left - copyBytes d (s `plusPtr` wrappedPos) m - copyLoop (d `plusPtr` m) s (wrappedPos + m) (left - m) + where + poolSize = B.length sm + copyLoop d s pos left + | left == 0 = return pos + | otherwise = do + wrappedPos <- + if pos == poolSize + then replenish poolSize backends s >> return 0 + else return pos + let m = min (poolSize - wrappedPos) left + copyBytes d (s `plusPtr` wrappedPos) m + copyLoop (d `plusPtr` m) s (wrappedPos + m) (left - m) -- | Grab a chunk of entropy from the entropy pool. getEntropyFrom :: ByteArray byteArray => EntropyPool -> Int -> IO byteArray diff --git a/Crypto/Random/HmacDRG.hs b/Crypto/Random/HmacDRG.hs new file mode 100644 --- /dev/null +++ b/Crypto/Random/HmacDRG.hs @@ -0,0 +1,51 @@ +{-# LANGUAGE TypeApplications #-} + +module Crypto.Random.HmacDRG (HmacDRG, initial, update) where + +import Crypto.Hash +import Crypto.MAC.HMAC (HMAC (..), hmac) +import Crypto.Random.Types +import Data.ByteArray (ByteArrayAccess, Bytes, ScrubbedBytes) +import qualified Data.ByteArray as M +import Data.Maybe + +-- | HMAC-based Deterministic Random Generator +-- +-- Adapted from NIST Special Publication 800-90A Revision 1, Section 10.1.2 +data HmacDRG hash = HmacDRG (Digest hash) (Digest hash) + +-- | The initial DRG state. It should be seeded via 'update' before use. +initial :: HashAlgorithm hash => hash -> HmacDRG hash +initial algorithm = HmacDRG (constant 0x00) (constant 0x01) + where + constant = + fromJust . digestFromByteString . M.replicate @Bytes (hashDigestSize algorithm) + +-- | Update the DRG state with optional provided data. +update + :: ByteArrayAccess input + => HashAlgorithm hash + => input -> HmacDRG hash -> HmacDRG hash +update input state0 = if M.null input then state1 else state2 + where + state1 = step 0x00 state0 + state2 = step 0x01 state1 + step byte (HmacDRG key value) = HmacDRG keyNew valueNew + where + keyNew = + hmacGetDigest $ + hmac key $ + M.convert value <> M.singleton @ScrubbedBytes byte <> M.convert input + valueNew = hmacGetDigest $ hmac keyNew value + +instance HashAlgorithm hash => DRG (HmacDRG hash) where + randomBytesGenerate count (HmacDRG key value) = (output, state) + where + output = M.take count result + state = update @Bytes M.empty $ HmacDRG key new + (result, new) = go M.empty value + go buffer current + | M.length buffer >= count = (buffer, current) + | otherwise = go (buffer <> M.convert next) next + where + next = hmacGetDigest $ hmac key current diff --git a/Crypto/Random/Probabilistic.hs b/Crypto/Random/Probabilistic.hs --- a/Crypto/Random/Probabilistic.hs +++ b/Crypto/Random/Probabilistic.hs @@ -4,25 +4,50 @@ -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good --- -module Crypto.Random.Probabilistic - ( probabilistic - ) where +module Crypto.Random.Probabilistic ( + probabilisticFrom, +) where +import Crypto.Hash (SHA512 (..), hashWith) +import Crypto.Internal.ByteArray (ByteArrayAccess, ScrubbedBytes) +import qualified Crypto.Internal.ByteArray as B import Crypto.Internal.Compat -import Crypto.Random.Types import Crypto.Random +import Crypto.Random.ChaChaDRG (initialize) --- | This create a random number generator out of thin air with --- the system entropy; don't generally use as the IO is not exposed --- this can have unexpected random for. --- --- This is useful for probabilistic algorithm like Miller Rabin --- probably prime algorithm, given appropriate choice of the heuristic +-- | Run a probabilistic algorithm on a generator derived from the value it is +-- about to work on, and from a secret this process drew once. -- +-- This is useful for a probabilistic algorithm like the Miller-Rabin primality +-- test, where the caller is a pure function and has to behave like one: the +-- same value has to give the same answer for as long as the process lives. +-- Deriving the generator from the value gives that much, and it keeps the +-- draws made for two different values independent of each other -- one +-- generator made once and shared by every call would make the witnesses drawn +-- for one value the witnesses for every value. +-- +-- The process secret is what makes the derivation unpredictable. The values +-- worked on may come from wherever the caller's input comes from, so the +-- generator must not be something that can be worked out from them. +-- +-- The IO is not exposed and the result is not reproducible between processes. -- Generally, it's advised not to use this function. -probabilistic :: MonadPseudoRandom ChaChaDRG a -> a -probabilistic f = fst $ withDRG drg f - where {-# NOINLINE drg #-} - drg = unsafeDoIO drgNew -{-# NOINLINE probabilistic #-} +probabilisticFrom + :: ByteArrayAccess seed + => seed + -- ^ the value being worked on, as bytes + -> MonadPseudoRandom ChaChaDRG a + -> a +probabilisticFrom material f = fst $ withDRG drg f + where + drg = initialize (B.take seedLength (B.convert digest :: ScrubbedBytes)) + digest = hashWith SHA512 (B.append secret (B.convert material) :: ScrubbedBytes) + -- what Crypto.Random.ChaChaDRG.initialize wants, and no more than SHA-512 + -- produces + seedLength = 40 + +-- | Drawn once, for the lifetime of the process: it is the only part of the +-- derivation above that an attacker supplying values cannot see. +secret :: ScrubbedBytes +secret = unsafeDoIO (getRandomBytes 32) +{-# NOINLINE secret #-} diff --git a/Crypto/Random/SystemDRG.hs b/Crypto/Random/SystemDRG.hs --- a/Crypto/Random/SystemDRG.hs +++ b/Crypto/Random/SystemDRG.hs @@ -1,26 +1,26 @@ +{-# LANGUAGE BangPatterns #-} + -- | -- Module : Crypto.Random.SystemDRG -- License : BSD-style -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good --- -{-# LANGUAGE BangPatterns #-} -module Crypto.Random.SystemDRG - ( SystemDRG - , getSystemDRG - ) where +module Crypto.Random.SystemDRG ( + SystemDRG, + getSystemDRG, +) where -import Crypto.Random.Types -import Crypto.Random.Entropy.Unsafe -import Crypto.Internal.Compat -import Data.ByteArray (ScrubbedBytes, ByteArray) -import Data.Memory.PtrMethods as B (memCopy) -import Data.Maybe (catMaybes) -import Data.Tuple (swap) -import Foreign.Ptr +import Crypto.Internal.Compat +import Crypto.Random.Entropy.Unsafe +import Crypto.Random.Types +import Data.ByteArray (ByteArray, ScrubbedBytes) import qualified Data.ByteArray as B -import System.IO.Unsafe (unsafeInterleaveIO) +import Data.Maybe (catMaybes) +import Data.Memory.PtrMethods as B (memCopy) +import Data.Tuple (swap) +import Foreign.Ptr +import System.IO.Unsafe (unsafeInterleaveIO) -- | A referentially transparent System representation of -- the random evaluated out of the system. @@ -43,21 +43,22 @@ getSystemDRG = do backends <- catMaybes `fmap` sequence supportedBackends let getNext = unsafeInterleaveIO $ do - bs <- B.alloc systemChunkSize (replenish systemChunkSize backends) + bs <- B.alloc systemChunkSize (replenish systemChunkSize backends) more <- getNext - return (bs:more) + return (bs : more) SystemDRG 0 <$> getNext generate :: ByteArray output => Int -> SystemDRG -> (output, SystemDRG) generate nbBytes (SystemDRG ofs sysChunks) = swap $ unsafeDoIO $ B.allocRet nbBytes $ loop ofs sysChunks nbBytes - where loop currentOfs chunks 0 _ = return $! SystemDRG currentOfs chunks - loop _ [] _ _ = error "SystemDRG: the impossible happened: empty chunk" - loop currentOfs oChunks@(c:cs) n d = do - let currentLeft = B.length c - currentOfs - toCopy = min n currentLeft - nextOfs = currentOfs + toCopy - n' = n - toCopy - B.withByteArray c $ \src -> B.memCopy d (src `plusPtr` currentOfs) toCopy - if nextOfs == B.length c - then loop 0 cs n' (d `plusPtr` toCopy) - else loop nextOfs oChunks n' (d `plusPtr` toCopy) + where + loop currentOfs chunks 0 _ = return $! SystemDRG currentOfs chunks + loop _ [] _ _ = error "SystemDRG: the impossible happened: empty chunk" + loop currentOfs oChunks@(c : cs) n d = do + let currentLeft = B.length c - currentOfs + toCopy = min n currentLeft + nextOfs = currentOfs + toCopy + n' = n - toCopy + B.withByteArray c $ \src -> B.memCopy d (src `plusPtr` currentOfs) toCopy + if nextOfs == B.length c + then loop 0 cs n' (d `plusPtr` toCopy) + else loop nextOfs oChunks n' (d `plusPtr` toCopy) diff --git a/Crypto/Random/Types.hs b/Crypto/Random/Types.hs --- a/Crypto/Random/Types.hs +++ b/Crypto/Random/Types.hs @@ -4,17 +4,15 @@ -- Maintainer : Vincent Hanquez -- Stability : experimental -- Portability : Good --- -module Crypto.Random.Types - ( - MonadRandom(..) - , MonadPseudoRandom - , DRG(..) - , withDRG - ) where +module Crypto.Random.Types ( + MonadRandom (..), + MonadPseudoRandom, + DRG (..), + withDRG, +) where -import Crypto.Random.Entropy import Crypto.Internal.ByteArray +import Crypto.Random.Entropy -- | A monad constraint that allows to generate random bytes class Monad m => MonadRandom m where @@ -39,14 +37,14 @@ let (a, g2) = runPseudoRandom m g1 in (f a, g2) instance DRG gen => Applicative (MonadPseudoRandom gen) where - pure a = MonadPseudoRandom $ \g -> (a, g) + pure a = MonadPseudoRandom $ \g -> (a, g) (<*>) fm m = MonadPseudoRandom $ \g1 -> let (f, g2) = runPseudoRandom fm g1 (a, g3) = runPseudoRandom m g2 in (f a, g3) instance DRG gen => Monad (MonadPseudoRandom gen) where - return = pure + return = pure (>>=) m1 m2 = MonadPseudoRandom $ \g1 -> let (a, g2) = runPseudoRandom m1 g1 in runPseudoRandom (m2 a) g2 @@ -55,6 +53,6 @@ getRandomBytes n = MonadPseudoRandom (randomBytesGenerate n) -- | Run a pure computation with a Deterministic Random Generator --- in the 'MonadPseudoRandom' +-- in the t'MonadPseudoRandom' withDRG :: DRG gen => gen -> MonadPseudoRandom gen a -> (a, gen) withDRG gen m = runPseudoRandom m gen diff --git a/Crypto/System/CPU.hs b/Crypto/System/CPU.hs --- a/Crypto/System/CPU.hs +++ b/Crypto/System/CPU.hs @@ -1,3 +1,7 @@ +{-# LANGUAGE CPP #-} +{-# LANGUAGE DeriveDataTypeable #-} +{-# LANGUAGE ForeignFunctionInterface #-} + -- | -- Module : Crypto.System.CPU -- License : BSD-style @@ -6,14 +10,10 @@ -- Portability : unknown -- -- Gives information about crypton runtime environment. --- -{-# LANGUAGE CPP #-} -{-# LANGUAGE DeriveDataTypeable #-} -{-# LANGUAGE ForeignFunctionInterface #-} -module Crypto.System.CPU - ( ProcessorOption (..) - , processorOptions - ) where +module Crypto.System.CPU ( + ProcessorOption (..), + processorOptions, +) where import Data.Data import Data.List (findIndices) @@ -33,10 +33,13 @@ -- | CPU options impacting cryptography implementation and library performance. data ProcessorOption - = AESNI -- ^ Support for AES instructions, with flag @support_aesni@ - | PCLMUL -- ^ Support for CLMUL instructions, with flag @support_pclmuldq@ - | RDRAND -- ^ Support for RDRAND instruction, with flag @support_rdrand@ - deriving (Show,Eq,Enum,Data) + = -- | Support for AES instructions, with flag @support_aesni@ + AESNI + | -- | Support for CLMUL instructions, with flag @support_pclmuldq@ + PCLMUL + | -- | Support for RDRAND instruction, with flag @support_rdrand@ + RDRAND + deriving (Show, Eq, Enum, Data) -- | Options which have been enabled at compile time and are supported by the -- current CPU. @@ -44,11 +47,11 @@ processorOptions = unsafeDoIO $ do p <- crypton_aes_cpu_init options <- traverse (getOption p) aesOptions - rdrand <- hasRDRand - return (decodeOptions options ++ [ RDRAND | rdrand ]) + rdrand <- hasRDRand + return (decodeOptions options ++ [RDRAND | rdrand]) where - aesOptions = [ AESNI .. PCLMUL ] - getOption p = peekElemOff p . fromEnum + aesOptions = [AESNI .. PCLMUL] + getOption p = peekElemOff p . fromEnum decodeOptions = map toEnum . findIndices (> 0) {-# NOINLINE processorOptions #-} diff --git a/Crypto/Tutorial.hs b/Crypto/Tutorial.hs --- a/Crypto/Tutorial.hs +++ b/Crypto/Tutorial.hs @@ -1,22 +1,22 @@ -- | Examples of how to use @crypton@. -module Crypto.Tutorial - ( -- * API design - -- $api_design +module Crypto.Tutorial ( + -- * API design + -- $api_design - -- * Hash algorithms - -- $hash_algorithms + -- * Hash algorithms + -- $hash_algorithms - -- * Symmetric block ciphers - -- $symmetric_block_ciphers + -- * Symmetric block ciphers + -- $symmetric_block_ciphers - -- * Combining primitives - -- $combining_primitives - ) where + -- * Combining primitives + -- $combining_primitives +) where -- $api_design -- -- APIs in crypton are often based on type classes from package --- , notably +-- , notably -- 'Data.ByteArray.ByteArrayAccess' and 'Data.ByteArray.ByteArray'. -- Module "Data.ByteArray" provides many primitives that are useful to -- work with crypton types. For example function 'Data.ByteArray.convert' @@ -160,6 +160,7 @@ -- > import Data.ByteString (ByteString) -- > import qualified Data.ByteString as B -- > +-- > import Crypto.Error (throwCryptoError) -- > import qualified Crypto.Cipher.XSalsa as XSalsa -- > import qualified Crypto.MAC.Poly1305 as Poly1305 -- > import qualified Crypto.PubKey.Curve25519 as X25519 @@ -175,7 +176,8 @@ -- > state1 = XSalsa.derive state0 iv1 -- > (rs, state2) = XSalsa.generate state1 32 -- > (c, _) = XSalsa.combine state2 content --- > tag = Poly1305.auth (rs :: ByteString) c +-- > macKey = throwCryptoError (Poly1305.key (rs :: ByteString)) +-- > tag = Poly1305.auth macKey c -- > -- > -- | Try to open a @crypto_box@ packet and recover the content using the -- > -- 192-bit nonce, sender public key and receiver private key. @@ -192,4 +194,5 @@ -- > state1 = XSalsa.derive state0 iv1 -- > (rs, state2) = XSalsa.generate state1 32 -- > (content, _) = XSalsa.combine state2 c --- > tag = Poly1305.auth (rs :: ByteString) c +-- > macKey = throwCryptoError (Poly1305.key (rs :: ByteString)) +-- > tag = Poly1305.auth macKey c diff --git a/LICENSE b/LICENSE --- a/LICENSE +++ b/LICENSE @@ -1,4 +1,5 @@ Copyright (c) 2006-2015 Vincent Hanquez +Copyright (c) 2023-2026 Kazu Yamamoto All rights reserved. diff --git a/README.md b/README.md --- a/README.md +++ b/README.md @@ -3,91 +3,252 @@ crypton ========== -Crypton is a fork from cryptonite with the original author's permission. +`crypton` is a fork from `cryptonite` with the original author's permission. -Crypton is a haskell repository of cryptographic primitives. Each crypto -algorithm has specificities that are hard to wrap in common APIs and types, -so instead of trying to provide a common ground for algorithms, this package -provides a non-consistent low-level API. -If you have no idea what you're doing, please do not use this directly. -Instead, rely on higher level protocols or implementations. +`crypton` is a low-level cryptography library. To achieve high +performance, it utilizes C and assembly language to define FFI +bindings, structuring them in a way that makes them easy to use. -Documentation: [crypton on hackage](http://hackage.haskell.org/package/crypton) -Stability ---------- +Side channels +------------- -Crypton APIs are stable, and we only strive to add, not change or remove. -Note that because the API exposed is wide and also expose internals things (for -power users and flexibility), certains APIs can be revised in extreme cases -where we can't just add. +AES is where this matters most, and which implementation runs is decided at +runtime from what the processor has. -Versioning ----------- +On x86-64 with AES-NI and carry-less multiply, and on AArch64 with the ARMv8 +cryptographic extension, AES and GHASH are instructions rather than tables. +crypton's AES and AES-GCM then make no branch and no memory access that +depends on the key or on the data: the secrets stay in vector registers and +never reach one a branch can test, which the generated code is checked +against. Every x86-64 part since about 2010 and every AArch64 part in +ordinary use has these. -Next version of `0.x` is `0.(x+1)`. There's no exceptions, or API related meaning -behind the numbers. +Where neither is present crypton falls back to a table-driven AES, which +indexes a 256-byte substitution table with data derived from the key and the +input. **That is not constant time**, and on a machine where an attacker can +observe the cache it is open to a timing attack. The fallback exists so that +the library builds and runs everywhere; it is not meant for a setting where +that matters. -Coding Style ------------- +`Crypto.System.CPU.processorOptions` says which is in use. `AESNI` in that +list means the instruction path, and `PCLMUL` that GHASH has its instruction +too; without `AESNI` it is the tables. The list also reports `RDRAND`, which +is unrelated to this. -The coding style of this project mostly follows: -[haskell-style](https://github.com/tibbe/haskell-style-guide/blob/master/haskell-style.md) + ghci> import Crypto.System.CPU + ghci> processorOptions + [AESNI,PCLMUL] -Support -------- +RSA is the other place to know about, and there the choice is the caller's. +The private key operations in `Crypto.PubKey.RSA.PKCS15`, `.OAEP` and `.PSS` +take a `Maybe Blinder`, and `Nothing` is no harder to write than the safe +form: -See [Haskell packages guidelines](https://github.com/vincenthz/haskell-pkg-guidelines/blob/master/README.md#support) + decrypt :: Maybe Blinder -> PrivateKey -> ByteString -> ... + decryptSafer :: MonadRandom m => PrivateKey -> ByteString -> m ... -Known Building Issues ---------------------- +The exponent itself is not what is at risk. `expSafe` keeps the *value* of an +exponent out of the work it does, so the private exponent does not leak +through the exponentiation. What a blinder covers is the other side: without +one, the operation runs on the ciphertext the caller was handed, so how long +it takes depends on a number an attacker may have chosen and can vary. That +is what a remote timing attack on RSA needs. With a blinder the input is +multiplied by a random value first and the result divided out afterwards, so +the timing carries nothing an attacker can steer. -On OSX <= 10.7, the system compiler doesn't understand the '-maes' option, and -with the lack of autodetection feature builtin in .cabal file, it is left on -the user to disable the aesni. See the [Disabling AESNI] section +`decryptSafer` and `signSafer` generate the blinder themselves and are the +ones to reach for. Pass `Nothing` only where the input is not attacker +controlled and you have decided that it is not. -On CentOS 7 the default C compiler includes intrinsic header files incompatible -with per-function target options. Solutions are to use GCC >= 4.9 or disable -flag *use_target_attributes* (see flag configuration examples below). +The RSA rows in the tables below are the unblinded path. A blinder costs one +more exponentiation, by the public exponent, which is the cheap direction: +measured on the M4, signing goes from about 460 to about 476 microseconds, +under four per cent. -Disabling AESNI ---------------- +Performance +----------- -It may be useful to disable AESNI for building, testing or runtime purposes. -This is achieved with the *support_aesni* flag. +The algorithms a TLS connection uses, measured against the last release +before the rewrite and against OpenSSL on the same machine. Throughput is +over 16 KiB messages; the public key operations are one operation each; every +figure is the best of several runs, and crypton and OpenSSL are run +alternately so that neither gets the quieter machine. -As part of configure of crypton: +Bulk encryption and hashing are measured through crypton's C layer, as +`openssl speed` measures OpenSSL's. The public key operations are measured +through crypton's Haskell API, since that is where ECDSA and RSA live and it +is what a program actually calls; the Haskell layer adds well under a +microsecond, which the X25519 and ECDH P-256 rows confirm by agreeing with a +C-level measurement to within a percent. Both releases of crypton are built +the same way -- `-optc-O3`, which is what each asks for -- and by +`cabal build`, since a copy of the sources compiled by hand does not measure +what a program linking the library gets, and leaves out whole implementations +without saying so. Each column of a table comes from one run on the machine +named above it. -``` - cabal configure --flag='-support_aesni' -``` +### x86-64 -or as part of an installation: +An AMD EPYC 7763, which has AES-NI, PCLMULQDQ, AVX2, ADX, VAES, VPCLMULQDQ +and the SHA extensions, against OpenSSL 4.0.3. -``` - cabal install --constraint="crypton -support_aesni" -``` +Throughput in MB/s, **higher is better**: -For help with cabal flags, see: [stackoverflow : is there a way to define flags for cabal](http://stackoverflow.com/questions/23523869/is-there-any-way-to-define-flags-for-cabal-dependencies) +| | crypton 1.1.5 | crypton 2.1.5 | OpenSSL | 2.1.5 / OpenSSL | +| --- | ---: | ---: | ---: | ---: | +| AES-128-GCM | 1362 | **6038** | 4055 | 1.49 | +| AES-256-GCM | 1093 | **5462** | 3770 | 1.45 | +| ChaCha20-Poly1305 | 399 | 2211 | 2229 | 0.99 | +| SHA-1 | 727 | 1678 | 1673 | 1.00 | +| SHA-256 | 290 | 1585 | 1579 | 1.00 | +| SHA-512 | 463 | 804 | 751 | 1.07 | +| SHA3-256 | 109 | 424 | 425 | 1.00 | -Links ------ +Time per operation in microseconds, **lower is better**: -* [ChaCha](http://cr.yp.to/chacha.html) -* [ChaCha-test-vectors](https://github.com/secworks/chacha_testvectors.git) -* [Poly1305](http://cr.yp.to/mac.html) -* [Poly1305-test-vectors](http://tools.ietf.org/html/draft-nir-cfrg-chacha20-poly1305-06#page-12) -* [Salsa](http://cr.yp.to/snuffle.html) -* [Salsa128-test-vectors](https://github.com/alexwebr/salsa20/blob/master/test_vectors.128) -* [Salsa256-test-vectors](https://github.com/alexwebr/salsa20/blob/master/test_vectors.256) -* [XSalsa](https://cr.yp.to/snuffle/xsalsa-20081128.pdf) -* [PBKDF2](http://tools.ietf.org/html/rfc2898) -* [PBKDF2-test-vectors](http://www.ietf.org/rfc/rfc6070.txt) -* [Scrypt](http://www.tarsnap.com/scrypt.html) -* [Curve25519](http://cr.yp.to/ecdh.html) -* [Ed25519](http://ed25519.cr.yp.to/papers.html) -* [Ed448-Goldilocks](http://ed448goldilocks.sourceforge.net/) -* [EdDSA-test-vectors](http://www.ietf.org/rfc/rfc8032.txt) -* [AFIS](http://clemens.endorphin.org/cryptography) +| | crypton 1.1.5 | crypton 2.1.5 | OpenSSL | OpenSSL / 2.1.5 | +| --- | ---: | ---: | ---: | ---: | +| X25519 | 45.31 | 28.41 | 36.48 | 1.28 | +| ECDH P-256 | 165.4 | 51.14 | 51.65 | 1.01 | +| ECDH P-384 | 2278 | **165.0** | 847.5 | 5.13 | +| Ed25519 sign | 30.03 | 18.62 | 33.71 | 1.81 | +| Ed25519 verify | 48.05 | 47.66 | 110.6 | 2.32 | +| ECDSA P-256 sign | 81.70 | 18.96 | 21.87 | 1.15 | +| ECDSA P-256 verify | 233.3 | 70.47 | 67.52 | 0.96 | +| ECDSA P-384 sign | 2264 | **303.4** | 890.1 | 2.93 | +| ECDSA P-384 verify | 2676 | **471.4** | 721.5 | 1.53 | +| RSA-2048 sign/decrypt | 759.4 | 612.0 | 659.4 | 1.08 | +| RSA-2048 verify/encrypt | 33.56 | 30.21 | 18.86 | 0.62 | +### AArch64 + +An Apple M4, which has the AES, PMULL, SHA-1, SHA-2, SHA-512 and SHA-3 +instructions, against OpenSSL 4.0.3. + +Throughput in MB/s, **higher is better**: + +| | crypton 1.1.5 | crypton 2.1.5 | OpenSSL | 2.1.5 / OpenSSL | +| --- | ---: | ---: | ---: | ---: | +| AES-128-GCM | 127 | **12422** | 10846 | 1.15 | +| AES-256-GCM | 98 | **9721** | 9197 | 1.06 | +| ChaCha20-Poly1305 | 771 | 2319 | 2250 | 1.03 | +| SHA-1 | 1209 | 3389 | 3361 | 1.01 | +| SHA-256 | 474 | 3400 | 3362 | 1.01 | +| SHA-512 | 730 | 1880 | 1883 | 1.00 | +| SHA3-256 | 550 | 1075 | 1065 | 1.01 | + +Time per operation in microseconds, **lower is better**: + +| | crypton 1.1.5 | crypton 2.1.5 | OpenSSL | OpenSSL / 2.1.5 | +| --- | ---: | ---: | ---: | ---: | +| X25519 | 18.27 | **12.22** | 15.53 | 1.27 | +| ECDH P-256 | 68.70 | **20.43** | 24.77 | 1.21 | +| ECDH P-384 | 3328 | **73.50** | 372.6 | 5.07 | +| Ed25519 sign | 13.58 | **7.75** | 13.23 | 1.71 | +| Ed25519 verify | 18.28 | 18.17 | 34.76 | 1.91 | +| ECDSA P-256 sign | 31.97 | **6.55** | 10.92 | 1.67 | +| ECDSA P-256 verify | 95.63 | **26.80** | 32.68 | 1.22 | +| ECDSA P-384 sign | 3219 | **124.1** | 394.2 | 3.18 | +| ECDSA P-384 verify | 3870 | **203.1** | 326.5 | 1.61 | +| RSA-2048 sign/decrypt | 447.9 | 460.1 | 319.9 | 0.70 | +| RSA-2048 verify/encrypt | 18.23 | 15.12 | 8.405 | 0.56 | + +### What the numbers say + +There are two changes behind the 1.1.5 column and the 2.1.5 one, not a +single steady improvement. + +The first, in 2.0.0, was a rewrite: the bulk algorithms moved into C, the +curves other than P-256 moved out of Haskell `Integer` arithmetic, and +everything that touches a secret was made to take the same time whatever the +secret is. 1.1.5 had no AArch64 code of its own at all, which is why AES-GCM +there is close to a hundred times what it was, and on x86-64 it had AES-NI +and nothing else. + +The second, from 2.1.0 onwards, is assembly, for the operations where C +cannot reach. Which of the two a row owes its gain to is not the same +everywhere: ECDSA P-384 signing took nineteenfold from the rewrite and a +further fifth from the assembly, while X25519 waited for the assembly +entirely and ECDH P-384 is almost all of it. + +Most of that assembly is not crypton's. The prime curves, the inverse modulo +a group order, X25519, and RSA's Montgomery multiplication on x86-64 go +through [s2n-bignum](https://github.com/awslabs/s2n-bignum), vendored in +`cbits/s2n`. Every routine in it carries a machine-checked proof in +HOL-Light that it computes what it says, and is written in a constant-time +style. It is `Apache-2.0 OR ISC OR MIT-0`, and crypton takes it under ISC. + +That licence is why any of this was possible. The obvious assembly to reach +for is OpenSSL's and BoringSSL's `ecp_nistz256`, and it cannot be used here: +it is Apache-2.0 only, and Intel and CloudFlare hold copyright in it besides +OpenSSL, so nobody is in a position to relicense it. + +Where crypton is behind, which is now the RSA rows on both architectures and +ECDSA P-256 verification on x86-64, there is one reason. The AES-GCM rows +were the other half of this section until 2.1.5; they are ahead on both +machines now, and what the instructions do is still worth setting out. + +*RSA.* 2.0.0 made signing slower than 1.1.5 on purpose: its modular +exponentiation stopped indexing a table with the bits of the exponent, and +hiding the exponent is what the difference bought. On x86-64 that cost is +more than repaid -- s2n-bignum's Montgomery multiplication is twice the C's, +because the C cannot form the two carry chains `ADCX` and `ADOX` give, and +2.1.5 signs in less than 1.1.5 took while keeping what 2.0.0 gained. On +AArch64 there is nothing to use: s2n-bignum has no generic routine for it, +and the same five that help on x86-64 measure level with the C there, so the +C stays and the gap with it. No portable C closes that gap either -- the +measurements are in +[#275](https://github.com/kazu-yamamoto/crypton/issues/275). Verification +does not move much either way: its exponent is 65537, seventeen bits, and +there is no exponentiation to speak of. + +*The wide AES instructions.* `VAES` and `VPCLMULQDQ` do two blocks where +`AES-NI` and `PCLMULQDQ` do one, and four in their 512-bit form. crypton uses +the 256-bit form where the processor has it, which is Zen 3 and Ice Lake +onwards, and the 512-bit form where that is worth having, which is Ice Lake and +Zen 5 onwards. There was nothing to borrow: the wide AES-GCM in OpenSSL, +BoringSSL and AWS-LC is Apache-2.0 and s2n-bignum has no GCM, so both files are +crypton's own. + +Having the 256-bit one is where the 1.49 in the x86-64 table comes from, and +it is narrower than it sounds. The EPYC 7763 is Zen 3: VAES and VPCLMULQDQ, +no AVX-512. OpenSSL's x86-64 AES-GCM is `aesni-gcm-x86_64.pl`, which is +128-bit -- its `vaesenc`s are the VEX encoding of `AESENC` on `xmm`, and +there is not one `ymm` in the file -- or `aes-gcm-avx512.pl`, which wants +`AVX512VAES`. There is no rung between them, so on this processor OpenSSL +takes a block at a time where crypton takes two. The same idea as theirs, +one step further down the feature ladder; not a better one. + +The 512-bit path arrived after 2.1.2, so it is in the 2.1.5 column -- but +neither machine in the tables above has AVX-512, so neither column shows it. +On the runners that do, measured over 16 KiB in MB/s: an EPYC 9V45 (Zen 5) +goes from 9616 to 14268 with it, a Xeon 6973P-C from 8095 to 9848, a Xeon +8573C from 6983 to 8447. OpenSSL on those machines is ahead still -- 25760 +on the first of them -- because it interleaves the GHASH with the AES where +crypton does them in turn. Zen 4 keeps the 256-bit path: its 512-bit +instructions are two passes through a 256-bit datapath, so the wider encoding +buys nothing there and costs a little. + +AArch64 has no counterpart to any of these: one AES block and one GHASH +multiplication at a time is all the instruction set offers. Its AES-GCM +rows were 0.85 and 0.87 until 2.1.5, for that reason. What closed it was +not width but the GHASH's representation -- H is twisted once at key setup +so that GCM's bit reflection is already undone, which turns a reduction of +some twenty-five shifts and XORs into two PMULL and six EOR and makes +Karatsuba worth taking. The scheme is ARM's, from the BSD-3-Clause part of +[AArch64cryptolib](https://github.com/ARM-software/AArch64cryptolib), +written out in crypton's own intrinsics. The AES there is ahead of +OpenSSL's and always was; it was the GHASH beside it that was behind. + +One row wants a word of its own: crypton's `Ed25519.sign` derives the public +key from the secret key every time it signs, so that a caller who passes a +public key that does not match cannot be made to leak the private one. That +costs a second scalar multiplication, which OpenSSL's signing does not pay -- +and the row is still 1.71 on AArch64 and 1.81 on x86-64, so the safety is had +for nothing here rather than paid for. + +SHA-1 is in the tables because a number of protocols and file formats still +ask for it, not because it is a good choice for anything new. The algorithms +that nothing should ask for any more -- MD5, 3DES, RC4, CBC mode -- are left +out. diff --git a/Setup.hs b/Setup.hs --- a/Setup.hs +++ b/Setup.hs @@ -1,2 +1,3 @@ import Distribution.Simple + main = defaultMain diff --git a/benchs/Bench.hs b/benchs/Bench.hs --- a/benchs/Bench.hs +++ b/benchs/Bench.hs @@ -1,43 +1,44 @@ -{-# LANGUAGE OverloadedStrings #-} {-# LANGUAGE ExistentialQuantification #-} {-# LANGUAGE FlexibleContexts #-} +{-# LANGUAGE OverloadedStrings #-} {-# LANGUAGE TypeFamilies #-} + module Main where -import Gauge.Main +import Test.Tasty.Bench -import Crypto.Cipher.AES +import Crypto.Cipher.AES import qualified Crypto.Cipher.AESGCMSIV as AESGCMSIV -import Crypto.Cipher.Blowfish -import Crypto.Cipher.CAST5 +import Crypto.Cipher.Blowfish +import Crypto.Cipher.CAST5 import qualified Crypto.Cipher.ChaChaPoly1305 as CP -import Crypto.Cipher.DES -import Crypto.Cipher.Twofish -import Crypto.Cipher.Types -import Crypto.ECC -import Crypto.Error -import Crypto.Hash +import Crypto.Cipher.DES +import Crypto.Cipher.Twofish +import Crypto.Cipher.Types +import Crypto.ECC +import Crypto.Error +import Crypto.Hash import qualified Crypto.KDF.BCrypt as BCrypt import qualified Crypto.KDF.PBKDF2 as PBKDF2 -import Crypto.Number.Basic (numBits) -import Crypto.Number.Generate +import Crypto.Number.Basic (numBits) +import Crypto.Number.Generate import qualified Crypto.PubKey.DH as DH -import qualified Crypto.PubKey.ECC.Types as ECC import qualified Crypto.PubKey.ECC.Prim as ECC +import qualified Crypto.PubKey.ECC.Types as ECC import qualified Crypto.PubKey.ECDSA as ECDSA import qualified Crypto.PubKey.Ed25519 as Ed25519 import qualified Crypto.PubKey.EdDSA as EdDSA -import Crypto.Random +import Crypto.Random -import Control.DeepSeq (NFData) -import Data.ByteArray (ByteArray, Bytes) +import Control.DeepSeq (NFData) +import Data.ByteArray (ByteArray, Bytes) import qualified Data.ByteString as B import qualified Crypto.PubKey.ECC.P256 as P256 import Number.F2m -data HashAlg = forall alg . HashAlgorithm alg => HashAlg alg +data HashAlg = forall alg. HashAlgorithm alg => HashAlg alg benchHash = [ env oneKB $ \b -> bgroup "1KB" $ map (doHashBench b) hashAlgs @@ -65,13 +66,13 @@ , ("SHA512t_256", HashAlg SHA512t_256) , ("RIPEMD160", HashAlg RIPEMD160) , ("Tiger", HashAlg Tiger) - --, ("Skein256-160", HashAlg Skein256_160) - , ("Skein256-256", HashAlg Skein256_256) - --, ("Skein512-160", HashAlg Skein512_160) - , ("Skein512-384", HashAlg Skein512_384) + , -- , ("Skein256-160", HashAlg Skein256_160) + ("Skein256-256", HashAlg Skein256_256) + , -- , ("Skein512-160", HashAlg Skein512_160) + ("Skein512-384", HashAlg Skein512_384) , ("Skein512-512", HashAlg Skein512_512) - --, ("Skein512-896", HashAlg Skein512_896) - , ("Whirlpool", HashAlg Whirlpool) + , -- , ("Skein512-896", HashAlg Skein512_896) + ("Whirlpool", HashAlg Whirlpool) , ("Keccak-224", HashAlg Keccak_224) , ("Keccak-256", HashAlg Keccak_256) , ("Keccak-384", HashAlg Keccak_384) @@ -91,82 +92,99 @@ ] benchPBKDF2 = - [ bgroup "64" + [ bgroup + "64" [ bench "cryptonite-PBKDF2-100-64" $ nf (pbkdf2 64) 100 , bench "cryptonite-PBKDF2-1000-64" $ nf (pbkdf2 64) 1000 , bench "cryptonite-PBKDF2-10000-64" $ nf (pbkdf2 64) 10000 ] - , bgroup "128" + , bgroup + "128" [ bench "cryptonite-PBKDF2-100-128" $ nf (pbkdf2 128) 100 , bench "cryptonite-PBKDF2-1000-128" $ nf (pbkdf2 128) 1000 , bench "cryptonite-PBKDF2-10000-128" $ nf (pbkdf2 128) 10000 ] ] where - pbkdf2 :: Int -> Int -> B.ByteString - pbkdf2 n iter = PBKDF2.generate (PBKDF2.prfHMAC SHA512) (params n iter) mypass mysalt + pbkdf2 :: Int -> Int -> B.ByteString + pbkdf2 n iter = PBKDF2.generate (PBKDF2.prfHMAC SHA512) (params n iter) mypass mysalt - mypass, mysalt :: B.ByteString - mypass = "password" - mysalt = "salt" + mypass, mysalt :: B.ByteString + mypass = "password" + mysalt = "salt" - params n iter = PBKDF2.Parameters iter n + params n iter = PBKDF2.Parameters iter n benchBCrypt = - [ bench "cryptonite-BCrypt-4" $ nf bcrypt 4 - , bench "cryptonite-BCrypt-5" $ nf bcrypt 5 - , bench "cryptonite-BCrypt-7" $ nf bcrypt 7 + [ bench "cryptonite-BCrypt-4" $ nf bcrypt 4 + , bench "cryptonite-BCrypt-5" $ nf bcrypt 5 + , bench "cryptonite-BCrypt-7" $ nf bcrypt 7 , bench "cryptonite-BCrypt-11" $ nf bcrypt 11 ] where - bcrypt :: Int -> B.ByteString - bcrypt cost = BCrypt.bcrypt cost mysalt mypass + bcrypt :: Int -> B.ByteString + bcrypt cost = BCrypt.bcrypt cost mysalt mypass - mypass, mysalt :: B.ByteString - mypass = "password" - mysalt = "saltsaltsaltsalt" + mypass, mysalt :: B.ByteString + mypass = "password" + mysalt = "saltsaltsaltsalt" benchBlockCipher = [ bgroup "ECB" benchECB , bgroup "CBC" benchCBC ] where - benchECB = - [ bench "DES-input=1024" $ nf (run (undefined :: DES) cipherInit key8) input1024 - , bench "Blowfish128-input=1024" $ nf (run (undefined :: Blowfish128) cipherInit key16) input1024 - , bench "Twofish128-input=1024" $ nf (run (undefined :: Twofish128) cipherInit key16) input1024 - , bench "CAST5-128-input=1024" $ nf (run (undefined :: CAST5) cipherInit key16) input1024 - , bench "AES128-input=1024" $ nf (run (undefined :: AES128) cipherInit key16) input1024 - , bench "AES256-input=1024" $ nf (run (undefined :: AES256) cipherInit key32) input1024 - ] - where run :: (ByteArray ba, ByteArray key, BlockCipher c) - => c -> (key -> CryptoFailable c) -> key -> ba -> ba - run _witness initF key input = - (ecbEncrypt (throwCryptoError (initF key))) input + benchECB = + [ bench "DES-input=1024" $ nf (run (undefined :: DES) cipherInit key8) input1024 + , bench "Blowfish128-input=1024" $ + nf (run (undefined :: Blowfish128) cipherInit key16) input1024 + , bench "Twofish128-input=1024" $ + nf (run (undefined :: Twofish128) cipherInit key16) input1024 + , bench "CAST5-128-input=1024" $ + nf (run (undefined :: CAST5) cipherInit key16) input1024 + , bench "AES128-input=1024" $ + nf (run (undefined :: AES128) cipherInit key16) input1024 + , bench "AES256-input=1024" $ + nf (run (undefined :: AES256) cipherInit key32) input1024 + ] + where + run + :: (ByteArray ba, ByteArray key, BlockCipher c) + => c -> (key -> CryptoFailable c) -> key -> ba -> ba + run _witness initF key input = + (ecbEncrypt (throwCryptoError (initF key))) input - benchCBC = - [ bench "DES-input=1024" $ nf (run (undefined :: DES) cipherInit key8 iv8) input1024 - , bench "Blowfish128-input=1024" $ nf (run (undefined :: Blowfish128) cipherInit key16 iv8) input1024 - , bench "Twofish128-input=1024" $ nf (run (undefined :: Twofish128) cipherInit key16 iv16) input1024 - , bench "CAST5-128-input=1024" $ nf (run (undefined :: CAST5) cipherInit key16 iv8) input1024 - , bench "AES128-input=1024" $ nf (run (undefined :: AES128) cipherInit key16 iv16) input1024 - , bench "AES256-input=1024" $ nf (run (undefined :: AES256) cipherInit key32 iv16) input1024 - ] - where run :: (ByteArray ba, ByteArray key, BlockCipher c) - => c -> (key -> CryptoFailable c) -> key -> IV c -> ba -> ba - run _witness initF key iv input = - (cbcEncrypt (throwCryptoError (initF key))) iv input + benchCBC = + [ bench "DES-input=1024" $ + nf (run (undefined :: DES) cipherInit key8 iv8) input1024 + , bench "Blowfish128-input=1024" $ + nf (run (undefined :: Blowfish128) cipherInit key16 iv8) input1024 + , bench "Twofish128-input=1024" $ + nf (run (undefined :: Twofish128) cipherInit key16 iv16) input1024 + , bench "CAST5-128-input=1024" $ + nf (run (undefined :: CAST5) cipherInit key16 iv8) input1024 + , bench "AES128-input=1024" $ + nf (run (undefined :: AES128) cipherInit key16 iv16) input1024 + , bench "AES256-input=1024" $ + nf (run (undefined :: AES256) cipherInit key32 iv16) input1024 + ] + where + run + :: (ByteArray ba, ByteArray key, BlockCipher c) + => c -> (key -> CryptoFailable c) -> key -> IV c -> ba -> ba + run _witness initF key iv input = + (cbcEncrypt (throwCryptoError (initF key))) iv input - key8 = B.replicate 8 0 - key16 = B.replicate 16 0 - key32 = B.replicate 32 0 - input1024 = B.replicate 1024 0 + key8 = B.replicate 8 0 + key16 = B.replicate 16 0 + key32 = B.replicate 32 0 + input1024 = B.replicate 1024 0 - iv8 :: BlockCipher c => IV c - iv8 = maybe (error "iv size 8") id $ makeIV key8 + iv8 :: BlockCipher c => IV c + iv8 = maybe (error "iv size 8") id $ makeIV key8 - iv16 :: BlockCipher c => IV c - iv16 = maybe (error "iv size 16") id $ makeIV key16 + iv16 :: BlockCipher c => IV c + iv16 = maybe (error "iv size 16") id $ makeIV key16 benchAE = [ bench "ChaChaPoly1305" $ nf (cp key32) (input64, input1024) @@ -174,81 +192,94 @@ , bench "AES-CCM" $ nf (ccm key32) (input64, input1024) , bench "AES-GCM-SIV" $ nf (gcmsiv key32) (input64, input1024) ] - where cp k (ini, plain) = - let iniState = throwCryptoError $ CP.initialize k (throwCryptoError $ CP.nonce12 nonce12) - afterAAD = CP.finalizeAAD (CP.appendAAD ini iniState) - (out, afterEncrypt) = CP.encrypt plain afterAAD - outtag = CP.finalize afterEncrypt - in (outtag, out) + where + cp k (ini, plain) = + let iniState = + CP.initialize + (throwCryptoError $ CP.key k) + (throwCryptoError $ CP.nonce12 nonce12) + afterAAD = CP.finalizeAAD (CP.appendAAD ini iniState) + (out, afterEncrypt) = CP.encrypt plain afterAAD + outtag = CP.finalize afterEncrypt + in (outtag, out) - gcm k (ini, plain) = - let ctx = throwCryptoError (cipherInit k) :: AES256 - state = throwCryptoError $ aeadInit AEAD_GCM ctx nonce12 - in aeadSimpleEncrypt state ini plain 16 + gcm k (ini, plain) = + let ctx = throwCryptoError (cipherInit k) :: AES256 + state = throwCryptoError $ aeadInit AEAD_GCM ctx nonce12 + in aeadSimpleEncrypt state ini plain 16 - ccm k (ini, plain) = - let ctx = throwCryptoError (cipherInit k) :: AES256 - mode = AEAD_CCM 1024 CCM_M16 CCM_L3 - state = throwCryptoError $ aeadInit mode ctx nonce12 - in aeadSimpleEncrypt state ini plain 16 + ccm k (ini, plain) = + let ctx = throwCryptoError (cipherInit k) :: AES256 + mode = AEAD_CCM 1024 CCM_M16 CCM_L3 + state = throwCryptoError $ aeadInit mode ctx nonce12 + in aeadSimpleEncrypt state ini plain 16 - gcmsiv k (ini, plain) = - let ctx = throwCryptoError (cipherInit k) :: AES256 - iv = throwCryptoError (AESGCMSIV.nonce nonce12) - in AESGCMSIV.encrypt ctx iv ini plain + gcmsiv k (ini, plain) = + let ctx = throwCryptoError (cipherInit k) :: AES256 + iv = throwCryptoError (AESGCMSIV.nonce nonce12) + in AESGCMSIV.encrypt ctx iv ini plain - input64 = B.replicate 64 0 - input1024 = B.replicate 1024 0 + input64 = B.replicate 64 0 + input1024 = B.replicate 1024 0 - nonce12 :: B.ByteString - nonce12 = B.replicate 12 0 + nonce12 :: B.ByteString + nonce12 = B.replicate 12 0 - key32 = B.replicate 32 0 + key32 = B.replicate 32 0 benchECC = - [ bench "pointAddTwoMuls-baseline" $ nf run_b (n1, p1, n2, p2) + [ bench "pointAddTwoMuls-baseline" $ nf run_b (n1, p1, n2, p2) , bench "pointAddTwoMuls-optimized" $ nf run_o (n1, p1, n2, p2) , bench "pointAdd-ECC" $ nf run_c (p1, p2) , bench "pointMul-ECC" $ nf run_d (n1, p2) ] - where run_b (n, p, k, q) = ECC.pointAdd c (ECC.pointMul c n p) - (ECC.pointMul c k q) + where + run_b (n, p, k, q) = + ECC.pointAdd + c + (ECC.pointMul c n p) + (ECC.pointMul c k q) - run_o (n, p, k, q) = ECC.pointAddTwoMuls c n p k q - run_c (p, q) = ECC.pointAdd c p q - run_d (n, p) = ECC.pointMul c n p + run_o (n, p, k, q) = ECC.pointAddTwoMuls c n p k q + run_c (p, q) = ECC.pointAdd c p q + run_d (n, p) = ECC.pointMul c n p - c = ECC.getCurveByName ECC.SEC_p256r1 - p1 = ECC.pointBaseMul c n1 - p2 = ECC.pointBaseMul c n2 - n1 = 0x2ba9daf2363b2819e69b34a39cf496c2458a9b2a21505ea9e7b7cbca42dc7435 - n2 = 0xf054a7f60d10b8c2cf847ee90e9e029f8b0e971b09ca5f55c4d49921a11fadc1 + c = ECC.getCurveByName ECC.SEC_p256r1 + p1 = ECC.pointBaseMul c n1 + p2 = ECC.pointBaseMul c n2 + n1 = 0x2ba9daf2363b2819e69b34a39cf496c2458a9b2a21505ea9e7b7cbca42dc7435 + n2 = 0xf054a7f60d10b8c2cf847ee90e9e029f8b0e971b09ca5f55c4d49921a11fadc1 benchP256 = - [ bench "pointAddTwoMuls-P256" $ nf run_p (n1, p1, n2, p2) - , bench "pointAdd-P256" $ nf run_q (p1, p2) - , bench "pointMul-P256" $ nf run_t (n1, p1) + [ bench "pointAddTwoMuls-P256" $ nf run_p (n1, p1, n2, p2) + , bench "pointAdd-P256" $ nf run_q (p1, p2) + , bench "pointMul-P256" $ nf run_t (n1, p1) ] - where run_p (n, p, k, q) = P256.pointAdd (P256.pointMul n p) (P256.pointMul k q) - run_q (p, q) = P256.pointAdd p q - run_t (n, p) = P256.pointMul n p - - xS = 0xde2444bebc8d36e682edd27e0f271508617519b3221a8fa0b77cab3989da97c9 - yS = 0xc093ae7ff36e5380fc01a5aad1e66659702de80f53cec576b6350b243042a256 - xT = 0x55a8b00f8da1d44e62f6b3b25316212e39540dc861c89575bb8cf92e35e0986b - yT = 0x5421c3209c2d6c704835d82ac4c3dd90f61a8a52598b9e7ab656e9d8c8b24316 - p1 = P256.pointFromIntegers (xS, yS) - p2 = P256.pointFromIntegers (xT, yT) - n1 = throwCryptoError $ P256.scalarFromInteger 0x2ba9daf2363b2819e69b34a39cf496c2458a9b2a21505ea9e7b7cbca42dc7435 - n2 = throwCryptoError $ P256.scalarFromInteger 0xf054a7f60d10b8c2cf847ee90e9e029f8b0e971b09ca5f55c4d49921a11fadc1 - + where + run_p (n, p, k, q) = P256.pointAdd (P256.pointMul n p) (P256.pointMul k q) + run_q (p, q) = P256.pointAdd p q + run_t (n, p) = P256.pointMul n p + xS = 0xde2444bebc8d36e682edd27e0f271508617519b3221a8fa0b77cab3989da97c9 + yS = 0xc093ae7ff36e5380fc01a5aad1e66659702de80f53cec576b6350b243042a256 + xT = 0x55a8b00f8da1d44e62f6b3b25316212e39540dc861c89575bb8cf92e35e0986b + yT = 0x5421c3209c2d6c704835d82ac4c3dd90f61a8a52598b9e7ab656e9d8c8b24316 + p1 = P256.pointFromIntegers (xS, yS) + p2 = P256.pointFromIntegers (xT, yT) + n1 = + throwCryptoError $ + P256.scalarFromInteger + 0x2ba9daf2363b2819e69b34a39cf496c2458a9b2a21505ea9e7b7cbca42dc7435 + n2 = + throwCryptoError $ + P256.scalarFromInteger + 0xf054a7f60d10b8c2cf847ee90e9e029f8b0e971b09ca5f55c4d49921a11fadc1 benchFFDH = map doFFDHBench primes where doFFDHBench (e, p) = let bits = numBits p - params = DH.Params { DH.params_p = p, DH.params_g = 2, DH.params_bits = bits } + params = DH.Params{DH.params_p = p, DH.params_g = 2, DH.params_bits = bits} in env (generate e params) $ bench (show bits) . nf (run params) generate e params = do @@ -261,14 +292,31 @@ run params (priv, pub) = DH.getShared params priv pub -- RFC 7919: prime p with minimal size of exponent - primes = [ (225, 0x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primes = + [ + ( 225 + , 0xFFFFFFFFFFFFFFFFADF85458A2BB4A9AAFDC5620273D3CF1D8B9C583CE2D3695A9E13641146433FBCC939DCE249B3EF97D2FE363630C75D8F681B202AEC4617AD3DF1ED5D5FD65612433F51F5F066ED0856365553DED1AF3B557135E7F57C935984F0C70E0E68B77E2A689DAF3EFE8721DF158A136ADE73530ACCA4F483A797ABC0AB182B324FB61D108A94BB2C8E3FBB96ADAB760D7F4681D4F42A3DE394DF4AE56EDE76372BB190B07A7C8EE0A6D709E02FCE1CDF7E2ECC03404CD28342F619172FE9CE98583FF8E4F1232EEF28183C3FE3B1B4C6FAD733BB5FCBC2EC22005C58EF1837D1683B2C6F34A26C1B2EFFA886B423861285C97FFFFFFFFFFFFFFFF + ) + , + ( 275 + , 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data CurveDH = forall c . (EllipticCurveDH c, NFData (Scalar c), NFData (Point c)) => CurveDH c +data CurveDH + = forall c. (EllipticCurveDH c, NFData (Scalar c), NFData (Point c)) => CurveDH c benchECDH = map doECDHBench curves where @@ -277,32 +325,38 @@ in env (generate proxy) $ bench name . nf (run proxy) generate proxy = do - KeyPair _ aScalar <- curveGenerateKeyPair proxy - KeyPair bPoint _ <- curveGenerateKeyPair proxy + KeyPair _ aScalar <- curveGenerateKeyPair proxy + KeyPair bPoint _ <- curveGenerateKeyPair proxy return (aScalar, bPoint) run proxy (s, p) = throwCryptoError (ecdh proxy s p) - curves = [ ("P256R1", CurveDH Curve_P256R1) - , ("P384R1", CurveDH Curve_P384R1) - , ("P521R1", CurveDH Curve_P521R1) - , ("X25519", CurveDH Curve_X25519) - , ("X448", CurveDH Curve_X448) - ] + curves = + [ ("P256R1", CurveDH Curve_P256R1) + , ("P384R1", CurveDH Curve_P384R1) + , ("P521R1", CurveDH Curve_P521R1) + , ("X25519", CurveDH Curve_X25519) + , ("X448", CurveDH Curve_X448) + ] -data CurveHashECDSA = - forall curve hashAlg . (ECDSA.EllipticCurveECDSA curve, - NFData (Scalar curve), - NFData (Point curve), - HashAlgorithm hashAlg) => CurveHashECDSA curve hashAlg +data CurveHashECDSA + = forall curve hashAlg. + ( ECDSA.EllipticCurveECDSA curve + , NFData (Scalar curve) + , NFData (Point curve) + , HashAlgorithm hashAlg + ) => + CurveHashECDSA curve hashAlg benchECDSA = map doECDSABench curveHashes where doECDSABench (name, CurveHashECDSA c hashAlg) = let proxy = Just c -- using Maybe as Proxy - in bgroup name + in bgroup + name [ env (signGenerate proxy) $ bench "sign" . nfIO . signRun proxy hashAlg - , env (verifyGenerate proxy hashAlg) $ bench "verify" . nf (verifyRun proxy hashAlg) + , env (verifyGenerate proxy hashAlg) $ + bench "verify" . nf (verifyRun proxy hashAlg) ] signGenerate proxy = do @@ -323,30 +377,33 @@ tenKB :: IO Bytes tenKB = getRandomBytes 10240 - curveHashes = [ ("secp256r1_sha256", CurveHashECDSA Curve_P256R1 SHA256) - , ("secp384r1_sha384", CurveHashECDSA Curve_P384R1 SHA384) - , ("secp521r1_sha512", CurveHashECDSA Curve_P521R1 SHA512) - ] + curveHashes = + [ ("secp256r1_sha256", CurveHashECDSA Curve_P256R1 SHA256) + , ("secp384r1_sha384", CurveHashECDSA Curve_P384R1 SHA384) + , ("secp521r1_sha512", CurveHashECDSA Curve_P521R1 SHA512) + ] benchEdDSA = [ bgroup "EdDSA-Ed25519" benchGenEd25519 - , bgroup "Ed25519" benchEd25519 + , bgroup "Ed25519" benchEd25519 ] where + -- the environment is a key pair and a signature that the benchmarked + -- operation only reads, so building it once outside the timed region is + -- the same measurement gauge's perBatchEnv made benchGen prx alg = - [ bench "sign" $ perBatchEnv (genEnv prx alg) (run_gen_sign prx) - , bench "verify" $ perBatchEnv (genEnv prx alg) (run_gen_verify prx) + [ env (genEnv prx alg) $ bench "sign" . nfIO . run_gen_sign prx + , env (genEnv prx alg) $ bench "verify" . nfIO . run_gen_verify prx ] benchGenEd25519 = benchGen (Just Curve_Edwards25519) SHA512 - benchEd25519 = - [ bench "sign" $ perBatchEnv ed25519Env run_ed25519_sign - , bench "verify" $ perBatchEnv ed25519Env run_ed25519_verify + benchEd25519 = + [ env ed25519Env $ bench "sign" . nfIO . run_ed25519_sign + , env ed25519Env $ bench "verify" . nfIO . run_ed25519_verify ] msg = B.empty -- empty message = worst-case scenario showing API overhead - - genEnv prx alg _ = do + genEnv prx alg = do sec <- EdDSA.generateSecretKey prx let pub = EdDSA.toPublic prx alg sec sig = EdDSA.sign prx sec pub msg @@ -356,7 +413,7 @@ run_gen_verify prx (_, pub, sig) = return (EdDSA.verify prx pub msg sig) - ed25519Env _ = do + ed25519Env = do sec <- Ed25519.generateSecretKey let pub = Ed25519.toPublic sec sig = Ed25519.sign sec pub msg @@ -366,19 +423,21 @@ run_ed25519_verify (_, pub, sig) = return (Ed25519.verify pub msg sig) -main = defaultMain - [ bgroup "hash" benchHash - , bgroup "block-cipher" benchBlockCipher - , bgroup "AE" benchAE - , bgroup "pbkdf2" benchPBKDF2 - , bgroup "bcrypt" benchBCrypt - , bgroup "ECC" benchECC - , bgroup "P256" benchP256 - , bgroup "DH" - [ bgroup "FFDH" benchFFDH - , bgroup "ECDH" benchECDH - ] - , bgroup "ECDSA" benchECDSA - , bgroup "EdDSA" benchEdDSA - , bgroup "F2m" benchF2m - ] +main = + defaultMain + [ bgroup "hash" benchHash + , bgroup "block-cipher" benchBlockCipher + , bgroup "AE" benchAE + , bgroup "pbkdf2" benchPBKDF2 + , bgroup "bcrypt" benchBCrypt + , bgroup "ECC" benchECC + , bgroup "P256" benchP256 + , bgroup + "DH" + [ bgroup "FFDH" benchFFDH + , bgroup "ECDH" benchECDH + ] + , bgroup "ECDSA" benchECDSA + , bgroup "EdDSA" benchEdDSA + , bgroup "F2m" benchF2m + ] diff --git a/benchs/Number/F2m.hs b/benchs/Number/F2m.hs --- a/benchs/Number/F2m.hs +++ b/benchs/Number/F2m.hs @@ -2,20 +2,23 @@ module Number.F2m (benchF2m) where -import Gauge.Main import System.Random +import Test.Tasty.Bench import Crypto.Number.Basic (log2) import Crypto.Number.F2m genInteger :: Int -> Int -> Integer -genInteger salt bits - = head - . dropWhile ((< bits) . log2) - . scanl (\a r -> a * 2^(31 :: Int) + abs r) 0 - . randoms - . mkStdGen - $ salt + bits +genInteger salt bits = case candidates of + x : _ -> x + [] -> error "genInteger: the stream of candidates ran out" + where + candidates = + dropWhile ((< bits) . log2) + . scanl (\a r -> a * 2 ^ (31 :: Int) + abs r) 0 + . randoms + . mkStdGen + $ salt + bits benchMod :: Int -> Benchmark benchMod bits = bench (show bits) $ nf (modF2m m) a @@ -46,8 +49,8 @@ bitsList = [64, 128, 256, 512, 1024, 2048] benchF2m = - [ bgroup "modF2m" $ map benchMod bitsList - , bgroup "mulF2m" $ map benchMul bitsList + [ bgroup "modF2m" $ map benchMod bitsList + , bgroup "mulF2m" $ map benchMul bitsList , bgroup "squareF2m" $ map benchSquare bitsList - , bgroup "invF2m" $ map benchInv bitsList + , bgroup "invF2m" $ map benchInv bitsList ] diff --git a/cbits/LICENSE.go b/cbits/LICENSE.go new file mode 100644 --- /dev/null +++ b/cbits/LICENSE.go @@ -0,0 +1,38 @@ +The arrangement of the AArch64 multiply-accumulate loop in +cbits/crypton_bignum.h -- four limbs to an iteration, the low halves of the +products and the high halves accumulated in two chains -- follows +addMulVVWx in Go's crypto/internal/fips140/bigmod/nat_arm64.s, written out +in the assembler that file's compiler speaks. Go is at +https://github.com/golang/go and carries the licence below. That file's +own header reads "Copyright 2013 The Go Authors. All rights reserved. Use +of this source code is governed by a BSD-style license that can be found in +the LICENSE file", and the LICENSE file it means is this one. + + +Copyright 2009 The Go Authors. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are +met: + + * Redistributions of source code must retain the above copyright +notice, this list of conditions and the following disclaimer. + * Redistributions in binary form must reproduce the above +copyright notice, this list of conditions and the following disclaimer +in the documentation and/or other materials provided with the +distribution. + * Neither the name of Google LLC nor the names of its +contributors may be used to endorse or promote products derived from +this software without specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR +A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT +OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT +LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, +DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY +THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/cbits/aes/LICENSE.fusion b/cbits/aes/LICENSE.fusion new file mode 100644 --- /dev/null +++ b/cbits/aes/LICENSE.fusion @@ -0,0 +1,29 @@ +Parts of cbits/aes/gcm_fused_x86.c follow the AES-GCM implementation in +picotls, lib/fusion.c, which is under the MIT license reproduced below. +The design is described by its author at + + http://blog.kazuhooku.com/2020/06/quicaes-gcm-12.html + http://blog.kazuhooku.com/2020/06/quicaes-gcm-22.html + +and the source is at https://github.com/h2o/picotls. + + +Copyright (c) 2020-2022 Fastly, Kazuho Oku + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to +deal in the Software without restriction, including without limitation the +rights to use, copy, modify, merge, publish, distribute, sublicense, and/or +sell copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in +all copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING +FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS +IN THE SOFTWARE. diff --git a/cbits/aes/armv8.c b/cbits/aes/armv8.c new file mode 100644 --- /dev/null +++ b/cbits/aes/armv8.c @@ -0,0 +1,469 @@ +/* + * AES using the ARMv8-A Cryptographic Extensions. + * + * The generic code in aes/generic.c is S-box table driven, which on AArch64 + * was the only thing available: crypton_aes.c only ever swapped in the AES-NI + * implementation, and that is gated on x86. This provides the AArch64 + * equivalent. + * + * The key schedule is laid out exactly as x86ni.c lays it out, because + * crypton_aes.c leaves some operations -- OCB and CCM -- pointing at the + * generic implementation even once the accelerated table is installed, and + * those read the forward schedule. So: the forward round keys k[0..nbr] + * first, in the order crypton_aes_generic_init writes them, then + * InvMixColumns(k[nbr-1]) down to InvMixColumns(k[1]) for decryption. The two + * ends of the decryption schedule, k[nbr] and k[0], are read back out of the + * forward half rather than stored twice, which is what makes AES-256 fit in + * the 16*14*2 bytes of aes_key.data. + */ + +#include +#include +#include +#if defined(__linux__) +#include +#include +#endif +#include "crypton_aes.h" +#include "crypton_bitfn.h" + +/* + * The AES and PMULL instructions are extensions, so a translation unit + * compiled for baseline ARMv8-A may not use them. Mark the functions that do, + * the way cbits/aes/x86ni.h marks their x86 counterparts, rather than raising + * -march for every file in the library: the flag use_target_attributes picks + * between the two, and with it set -- which is the default -- nothing else + * enables the extensions, so without these the file does not compile at all on + * a toolchain whose baseline lacks them. Apple's does not lack them, which is + * why only Linux noticed. + * + * "+crypto" rather than "crypto": GCC rejects the latter. + */ +#include "crypton_armv8_target.h" + +/* forward round keys: nbr + 1 of them, written by the generic key expansion */ +#define FWD(key) ((const uint8_t *) (key)->data) +/* InvMixColumns(k[nbr-1]) .. InvMixColumns(k[1]): nbr - 1 of them */ +#define INV(key) (((const uint8_t *) (key)->data) + 16 * ((key)->nbr + 1)) + +/* + * The key schedule of FIPS 197 5.2, with the S-box the schedule needs coming + * from the instructions rather than a table in memory. + * + * AArch64 has no counterpart to x86's AESKEYGENASSIST, but AESE is + * AddRoundKey, SubBytes and ShiftRows together, so against a zero key it is + * SubBytes and ShiftRows. Give it a word in all four columns and ShiftRows + * only moves identical bytes between them, which leaves every column holding + * SubWord of that word. RotWord is then a byte rotation, and on a register + * whose four words are equal a rotation of the whole register by one byte + * rotates each word. + * + * The words stay in vector registers throughout: a word moved to a general + * register and back costs more than the instruction it is moved for. + * + * The exposure this removes is a small one -- sixteen lookups at addresses + * derived from the key, once per key, against the per-block indexing the + * instructions exist to remove -- but a key schedule is the one thing an + * attacker most wants and it costs little to keep it out of the cache. + */ +CRYPTON_TARGET_ARMV8_CRYPTO +static uint32x4_t sub_word(uint32x4_t w) +{ + return vreinterpretq_u32_u8( + vaeseq_u8(vreinterpretq_u8_u32(w), vdupq_n_u8(0))); +} + +CRYPTON_TARGET_ARMV8_CRYPTO +static uint32x4_t sub_rot_word(uint32x4_t w) +{ + const uint8x16_t s = vreinterpretq_u8_u32(sub_word(w)); + + return vreinterpretq_u32_u8(vextq_u8(s, s, 1)); +} + +CRYPTON_TARGET_ARMV8_CRYPTO +void crypton_aes_armv8_init(aes_key *key, uint8_t *origkey, uint8_t size) +{ + /* 2^0 .. 2^9 in GF(2^8), which is as far as any key size reaches */ + static const uint32_t rcon[10] = { + 0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40, 0x80, 0x1b, 0x36, + }; + uint32_t *w = (uint32_t *) key->data; + uint8_t *inv; + int nk, nw, i; + + switch (size) { + case 16: key->nbr = 10; break; + case 24: key->nbr = 12; break; + case 32: key->nbr = 14; break; + default: return; + } + nk = size / 4; /* words of key */ + nw = 4 * (key->nbr + 1); /* words of schedule */ + + memcpy(w, origkey, size); + for (i = nk; i < nw; i++) { + uint32x4_t t = vld1q_dup_u32(w + i - 1); + + if (i % nk == 0) + t = veorq_u32(sub_rot_word(t), + vdupq_n_u32(rcon[i / nk - 1])); + else if (nk > 6 && i % nk == 4) + t = sub_word(t); + vst1q_lane_u32(w + i, veorq_u32(t, vld1q_dup_u32(w + i - nk)), 0); + } + + /* and the inverted round keys the decryption modes read */ + inv = ((uint8_t *) key->data) + 16 * (key->nbr + 1); + for (i = 1; i < key->nbr; i++) { + uint8x16_t rk = + vld1q_u8(((const uint8_t *) key->data) + 16 * (key->nbr - i)); + vst1q_u8(inv + 16 * (i - 1), vaesimcq_u8(rk)); + } +} + +/* + * Whether the extensions are actually present. + * + * They are mandatory on Apple silicon, and on other AArch64 systems the + * kernel reports them through the auxiliary vector. A system without them + * keeps the generic implementation. + */ +int crypton_aes_armv8_available(void) +{ +#if defined(__APPLE__) + return 1; +#elif defined(__linux__) + return (getauxval(AT_HWCAP) & HWCAP_AES) != 0; +#else + return 0; +#endif +} + +/* + * GHASH using PMULL, the AArch64 counterpart to PCLMULQDQ. + * + * Not the transliteration of gfmul_pclmuldq in x86ni.c this used to be. The + * x86 formulation keeps H in the order GCM writes it and pays, at the end of + * every batch, a reduction that first has to undo GCM's bit reflection: some + * twenty-five shifts and XORs, and a batch of eight costs it once. + * + * Instead H is twisted once, at key setup, so that the reflection is already + * undone and a reversed-polynomial multiply lands in the right place. Two + * things follow. The reduction becomes two PMULL against 0xC2000..0 and six + * EOR, a third of what it was. And because nothing has to be byte-reversed + * back and forth, Karatsuba pays: three PMULL a block rather than four, with + * the middle terms accumulated in a third register and tidied up once per + * batch. + * + * crypton tried Karatsuba in the old representation and measured it 1.6 per + * cent slower -- the saved PMULL did not cover the extra EOR when the + * reduction stayed as expensive as it was. It is the pair that pays. + * Measured over 16 KiB messages, this against the old code: + * + * Apple M4 Neoverse N2 + * AES-128-GCM 1.30 1.25 + * AES-192-GCM 1.22 1.25 + * AES-256-GCM 1.19 1.24 + * + * The scheme is ARM's, from the 'big' AES-GCM kernel of + * https://github.com/ARM-software/AArch64cryptolib, which is BSD-3-Clause, + * (c) 2018-2019 ARM Limited. Their kernels under AArch64cryptolib_opt_bigger + * are faster again and are NOT under that licence, whatever the repository's + * LICENSE.md says; nothing here comes from those files. + * + * The table holds the twisted powers H^1 .. H^8 at htable[0 .. 7] and the + * Karatsuba half of each -- its high 64 bits XOR its low -- in the first + * eight bytes of htable[8 .. 15]. The running tag is kept the way GCM + * writes it at every boundary, and swapped into the internal form on the way + * in and out, which is two instructions. + */ + +#define GHASH_MODC ((poly64_t) 0xC200000000000000ul) + +/* the internal accumulator form, and back again: its own inverse */ +CRYPTON_TARGET_ARMV8_CRYPTO +static inline uint8x16_t ghash_swap(uint8x16_t t) +{ + t = vrev64q_u8(t); + return vextq_u8(t, t, 8); +} + +/* the high and low halves XORed together, which is what Karatsuba wants */ +CRYPTON_TARGET_ARMV8_CRYPTO +static inline poly64_t ghash_karat(poly64x2_t v) +{ + return (poly64_t) veor_u64(vget_high_u64(vreinterpretq_u64_p64(v)), + vget_low_u64(vreinterpretq_u64_p64(v))); +} + +/* the twisted power H^(i+1) */ +#define GHASH_POW(ht, i) \ + vreinterpretq_p64_u8(vld1q_u8((const uint8_t *) &(ht)[i])) +/* and its Karatsuba half */ +#define GHASH_KARAT(ht, i) \ + ((poly64_t) vgetq_lane_u64( \ + vreinterpretq_u64_u8(vld1q_u8((const uint8_t *) &(ht)[8 + (i)])), 0)) + +/* + * One block's three partial products, XORed into the accumulators. b is + * already in the internal form; hp and hk are the power it is to meet. + */ +#define GHASH_MUL(b, hp, hk, H, M, L) \ + do { \ + poly64x2_t b__ = (b); \ + poly64x2_t hp__ = (hp); \ + (H) = veorq_u64((H), vreinterpretq_u64_p128( \ + vmull_high_p64(b__, hp__))); \ + (L) = veorq_u64((L), vreinterpretq_u64_p128(vmull_p64( \ + (poly64_t) vgetq_lane_u64(vreinterpretq_u64_p64(b__), 0), \ + (poly64_t) vgetq_lane_u64(vreinterpretq_u64_p64(hp__), 0)))); \ + (M) = veorq_u64((M), vreinterpretq_u64_p128( \ + vmull_p64(ghash_karat(b__), (hk)))); \ + } while (0) + +/* + * Finish the Karatsuba -- the middle accumulator still holds only the + * (ah^al)(bh^bl) terms and wants the other two taken out of it -- and reduce + * the 256 bits modulo the GCM polynomial. The result is in internal form. + */ +CRYPTON_TARGET_ARMV8_CRYPTO +static inline uint64x2_t ghash_reduce(uint64x2_t H, uint64x2_t M, uint64x2_t L) +{ + uint64x2_t t; + + M = veorq_u64(M, H); + M = veorq_u64(M, L); + + t = vreinterpretq_u64_p128(vmull_p64( + (poly64_t) vgetq_lane_u64(H, 0), GHASH_MODC)); + H = vreinterpretq_u64_u8(vextq_u8(vreinterpretq_u8_u64(H), + vreinterpretq_u8_u64(H), 8)); + M = veorq_u64(M, t); + M = veorq_u64(M, H); + + t = vreinterpretq_u64_p128(vmull_p64( + (poly64_t) vgetq_lane_u64(M, 0), GHASH_MODC)); + M = vreinterpretq_u64_u8(vextq_u8(vreinterpretq_u8_u64(M), + vreinterpretq_u8_u64(M), 8)); + L = veorq_u64(L, t); + return veorq_u64(L, M); +} + +/* a single block against H^1, accumulator in internal form */ +CRYPTON_TARGET_ARMV8_CRYPTO +static inline uint64x2_t ghash_one(uint64x2_t acc, uint8x16_t blk, + const block128 *ht) +{ + uint64x2_t H = vdupq_n_u64(0), M = H, L = H; + poly64x2_t b; + + acc = vreinterpretq_u64_u8(vextq_u8(vreinterpretq_u8_u64(acc), + vreinterpretq_u8_u64(acc), 8)); + b = vreinterpretq_p64_u64(veorq_u64( + vreinterpretq_u64_u8(vrev64q_u8(blk)), acc)); + GHASH_MUL(b, GHASH_POW(ht, 0), GHASH_KARAT(ht, 0), H, M, L); + return ghash_reduce(H, M, L); +} + +/* + * Twist H and raise it to the powers a batch needs. + * + * The twist is a shift left by one with 0xC2000..01 folded back in when a + * bit falls off the top -- the same correction the old reduction applied to + * every product, done once here instead. Each further power is one multiply + * in the twisted domain; the result comes out of ghash_reduce with its + * halves swapped, which a batch undoes on the way in, so a stored power has + * to be swapped back. + */ +CRYPTON_TARGET_ARMV8_CRYPTO +void crypton_aes_armv8_hinit_pmull(block128 *htable, const block128 *h) +{ + uint8x16_t hk = vrev64q_u8(vld1q_u8((const uint8_t *) h)); + uint64x2_t shl = vshlq_n_u64(vreinterpretq_u64_u8(hk), 1); + uint64x2_t shr = vreinterpretq_u64_s64( + vshrq_n_s64(vreinterpretq_s64_u8(hk), 63)); + uint8x16_t mask = vextq_u8(vreinterpretq_u8_u64(shr), + vreinterpretq_u8_u64(shr), 12); + uint64x2_t tc = vdupq_n_u64(0); + poly64x2_t base, p; + int i; + + tc = vsetq_lane_u64(0xC200000000000001ul, tc, 0); + tc = vsetq_lane_u64(1, tc, 1); + tc = vandq_u64(vreinterpretq_u64_u8(mask), tc); + base = vreinterpretq_p64_u64(veorq_u64(tc, shl)); + + p = base; + for (i = 0; i < 8; i++) { + uint64x2_t H = vdupq_n_u64(0), M = H, L = H, r; + + vst1q_u8((uint8_t *) &htable[i], + vreinterpretq_u8_p64(p)); + vst1q_u8((uint8_t *) &htable[8 + i], + vreinterpretq_u8_u64( + vdupq_n_u64((uint64_t) ghash_karat(p)))); + + GHASH_MUL(p, base, ghash_karat(base), H, M, L); + r = ghash_reduce(H, M, L); + p = vreinterpretq_p64_u8(vextq_u8(vreinterpretq_u8_u64(r), + vreinterpretq_u8_u64(r), 8)); + } +} + +CRYPTON_TARGET_ARMV8_CRYPTO +void crypton_aes_armv8_gf_mul_pmull(block128 *a, const block128 *htable) +{ + uint64x2_t acc = vreinterpretq_u64_u8( + ghash_swap(vld1q_u8((const uint8_t *) a))); + + acc = ghash_one(acc, vdupq_n_u8(0), htable); + vst1q_u8((uint8_t *) a, ghash_swap(vreinterpretq_u8_u64(acc))); +} + +/* + * Four GHASH steps -- ((((a^b0)H ^ b1)H ^ b2)H ^ b3)H -- with a single + * reduction. Expanded that is (a^b0)H^4 ^ b1*H^3 ^ b2*H^2 ^ b3*H, so the + * four products can be summed first and reduced once, which is where the + * time goes. Aggregated reduction, from the Intel GCM paper. + */ +CRYPTON_TARGET_ARMV8_CRYPTO +void crypton_aes_armv8_gf_mul4_pmull(block128 *a, const block128 *blocks, + const block128 *htable) +{ + uint64x2_t acc = vreinterpretq_u64_u8( + ghash_swap(vld1q_u8((const uint8_t *) a))); + uint64x2_t H = vdupq_n_u64(0), M = H, L = H; + poly64x2_t b; + int i; + + acc = vreinterpretq_u64_u8(vextq_u8(vreinterpretq_u8_u64(acc), + vreinterpretq_u8_u64(acc), 8)); + b = vreinterpretq_p64_u64(veorq_u64( + vreinterpretq_u64_u8(vrev64q_u8( + vld1q_u8((const uint8_t *) &blocks[0]))), acc)); + GHASH_MUL(b, GHASH_POW(htable, 3), GHASH_KARAT(htable, 3), H, M, L); + + for (i = 1; i < 4; i++) { + b = vreinterpretq_p64_u8(vrev64q_u8( + vld1q_u8((const uint8_t *) &blocks[i]))); + GHASH_MUL(b, GHASH_POW(htable, 3 - i), + GHASH_KARAT(htable, 3 - i), H, M, L); + } + + acc = ghash_reduce(H, M, L); + vst1q_u8((uint8_t *) a, ghash_swap(vreinterpretq_u8_u64(acc))); +} + + +int crypton_aes_armv8_pmull_available(void) +{ +#if defined(__APPLE__) + return 1; +#elif defined(__linux__) + return (getauxval(AT_HWCAP) & HWCAP_PMULL) != 0; +#else + return 0; +#endif +} + +/* + * The XTS tweak advances by doubling in GF(2^128), which + * crypton_aes_generic_gf_mulx does through memory. Here it stays in a + * register: shift both halves left by one, carry the low half's top bit into + * the high half, and fold the bit that leaves the top back in as 0x87. The + * block is little-endian, so lane 0 is the low half. + */ +CRYPTON_TARGET_ARMV8_CRYPTO +static inline uint8x16_t gfmulx_neon(uint8x16_t v) +{ + const uint64x2_t x = vreinterpretq_u64_u8(v); + const uint64x2_t zero = vdupq_n_u64(0); + const uint64x2_t carry = vshrq_n_u64(x, 63); + /* the low half's carry becomes the high half's bit 0 */ + const uint64x2_t into_hi = vextq_u64(zero, carry, 1); + /* and the high half's becomes all ones, or nothing, in the low half */ + const uint64x2_t out = vsubq_u64(zero, vextq_u64(carry, zero, 1)); + const uint64x2_t poly = vsetq_lane_u64(0x87, zero, 0); + + return vreinterpretq_u8_u64(veorq_u64( + vorrq_u64(vshlq_n_u64(x, 1), into_hi), vandq_u64(out, poly))); +} + +/* + * The modes, generated once per key size. See armv8_impl.c for why the + * round count has to be a compile-time constant. + */ +#define SIZED(m) m##128 +#define NBR 10 +#include +#undef SIZED +#undef NBR + +#define SIZED(m) m##192 +#define NBR 12 +#include +#undef SIZED +#undef NBR + +#define SIZED(m) m##256 +#define NBR 14 +#include +#undef SIZED +#undef NBR + +/* + * The fused entry point, over the three key sizes. Each was generated with + * its round count fixed, which is what lets the eight chains stay in + * registers; the choice between them is made once per message here. + */ +CRYPTON_TARGET_ARMV8_CRYPTO +void crypton_aes_armv8_gcm_fused(uint8_t *out, const block128 *ht, + aes_key *key, const uint8_t *nonce, + const uint8_t *aad, uint32_t aadlen, + const uint8_t *in, uint32_t inlen, + uint32_t taglen, aes_key *hpkey, + uint32_t sampleoff, uint8_t *mask) +{ + switch (key->strength) { + case 0: + crypton_aes_armv8_gcm_fused128(out, ht, key, nonce, aad, aadlen, + in, inlen, taglen, hpkey, + sampleoff, mask); + break; + case 1: + crypton_aes_armv8_gcm_fused192(out, ht, key, nonce, aad, aadlen, + in, inlen, taglen, hpkey, + sampleoff, mask); + break; + default: + crypton_aes_armv8_gcm_fused256(out, ht, key, nonce, aad, aadlen, + in, inlen, taglen, hpkey, + sampleoff, mask); + break; + } +} + +CRYPTON_TARGET_ARMV8_CRYPTO +int crypton_aes_armv8_gcm_fused_dec(uint8_t *out, const block128 *ht, + aes_key *key, const uint8_t *nonce, + const uint8_t *aad, uint32_t aadlen, + const uint8_t *in, uint32_t inlen, + const uint8_t *tag, uint32_t taglen, + uint8_t *outtag) +{ + switch (key->strength) { + case 0: + return crypton_aes_armv8_gcm_fused_dec128(out, ht, key, nonce, + aad, aadlen, in, inlen, + tag, taglen, outtag); + case 1: + return crypton_aes_armv8_gcm_fused_dec192(out, ht, key, nonce, + aad, aadlen, in, inlen, + tag, taglen, outtag); + default: + return crypton_aes_armv8_gcm_fused_dec256(out, ht, key, nonce, + aad, aadlen, in, inlen, + tag, taglen, outtag); + } +} diff --git a/cbits/aes/armv8_impl.c b/cbits/aes/armv8_impl.c new file mode 100644 --- /dev/null +++ b/cbits/aes/armv8_impl.c @@ -0,0 +1,824 @@ +/* + * Included from armv8.c once per key size, with NBR set to the number of + * rounds and SIZED() naming the functions. This mirrors x86ni_impl.c. + * + * Two things here want compile-time constants, and both are worth having. + * With the round count fixed the compiler keeps the round keys scheduled + * instead of reloading them against a count read out of the key. With the + * blocks in flight fixed it interleaves that many independent chains, which + * is what covers the latency of AESE and AESMC -- one block at a time leaves + * the pipeline waiting on itself. On Apple silicon the two together are + * worth about four times a loop that does one block with a round count from + * memory. + * + * The blocks are named by constant index throughout, and every step is + * written out one per block rather than left to a loop over s[i]. Such a + * loop is only as good as the compiler's willingness to unroll it, and GCC + * at -O2 declines: s[] then lives on the stack and each round turns into a + * load and a store, which measured slower than the one-block code this + * replaces. Spelling the steps out costs nothing and leaves nothing to + * decide. + */ + +/* Eight chains is where the return flattens out on the cores measured. */ +#define WAY 8 + +#define EACH1(m) m(0) +#define EACH8(m) m(0) m(1) m(2) m(3) m(4) m(5) m(6) m(7) + +#define LOAD_IN(i) s[i] = vld1q_u8((const uint8_t *) (input + (i))); +#define STORE_OUT(i) vst1q_u8((uint8_t *) (output + (i)), s[i]); + +#define ENC_STEP(i) s[i] = vaesmcq_u8(vaeseq_u8(s[i], k_)); +#define ENC_LAST(i) s[i] = veorq_u8(vaeseq_u8(s[i], k_), l_); +#define DEC_STEP(i) s[i] = vaesimcq_u8(vaesdq_u8(s[i], k_)); +#define DEC_LAST(i) s[i] = veorq_u8(vaesdq_u8(s[i], k_), l_); + +/* Encrypt the blocks EACH names, in place in s[]. rk must be in scope. */ +#define ENC_ROUNDS(EACH) \ + do { \ + int r_; \ + for (r_ = 0; r_ < NBR - 1; r_++) { \ + const uint8x16_t k_ = vld1q_u8(rk + 16 * r_); \ + EACH(ENC_STEP) \ + } \ + { \ + const uint8x16_t k_ = vld1q_u8(rk + 16 * (NBR - 1)); \ + const uint8x16_t l_ = vld1q_u8(rk + 16 * NBR); \ + EACH(ENC_LAST) \ + } \ + } while (0) + +/* + * Decrypt them. fwd and inv must be in scope: the schedule is k[nbr], + * imc(k[nbr-1]) .. imc(k[1]), k[0], so the two ends come from the forward + * keys and the middle from the inverted ones. + */ +#define DEC_ROUNDS(EACH) \ + do { \ + int r_; \ + { \ + const uint8x16_t k_ = vld1q_u8(fwd + 16 * NBR); \ + EACH(DEC_STEP) \ + } \ + for (r_ = 0; r_ < NBR - 2; r_++) { \ + const uint8x16_t k_ = vld1q_u8(inv + 16 * r_); \ + EACH(DEC_STEP) \ + } \ + { \ + const uint8x16_t k_ = vld1q_u8(inv + 16 * (NBR - 2));\ + const uint8x16_t l_ = vld1q_u8(fwd); \ + EACH(DEC_LAST) \ + } \ + } while (0) + +CRYPTON_TARGET_ARMV8_CRYPTO +void SIZED(crypton_aes_armv8_encrypt_block)(aes_block *output, aes_key *key, aes_block *input) +{ + const uint8_t *rk = FWD(key); + uint8x16_t s[1]; + + EACH1(LOAD_IN); + ENC_ROUNDS(EACH1); + EACH1(STORE_OUT); +} + +CRYPTON_TARGET_ARMV8_CRYPTO +void SIZED(crypton_aes_armv8_decrypt_block)(aes_block *output, aes_key *key, aes_block *input) +{ + const uint8_t *fwd = FWD(key); + const uint8_t *inv = INV(key); + uint8x16_t s[1]; + + EACH1(LOAD_IN); + DEC_ROUNDS(EACH1); + EACH1(STORE_OUT); +} + +CRYPTON_TARGET_ARMV8_CRYPTO +void SIZED(crypton_aes_armv8_encrypt_ecb)(aes_block *output, aes_key *key, aes_block *input, uint32_t nb_blocks) +{ + const uint8_t *rk = FWD(key); + uint8x16_t s[WAY]; + + for (; nb_blocks >= WAY; nb_blocks -= WAY, input += WAY, output += WAY) { + EACH8(LOAD_IN); + ENC_ROUNDS(EACH8); + EACH8(STORE_OUT); + } + for (; nb_blocks > 0; nb_blocks--, input++, output++) { + EACH1(LOAD_IN); + ENC_ROUNDS(EACH1); + EACH1(STORE_OUT); + } +} + +CRYPTON_TARGET_ARMV8_CRYPTO +void SIZED(crypton_aes_armv8_decrypt_ecb)(aes_block *output, aes_key *key, aes_block *input, uint32_t nb_blocks) +{ + const uint8_t *fwd = FWD(key); + const uint8_t *inv = INV(key); + uint8x16_t s[WAY]; + + for (; nb_blocks >= WAY; nb_blocks -= WAY, input += WAY, output += WAY) { + EACH8(LOAD_IN); + DEC_ROUNDS(EACH8); + EACH8(STORE_OUT); + } + for (; nb_blocks > 0; nb_blocks--, input++, output++) { + EACH1(LOAD_IN); + DEC_ROUNDS(EACH1); + EACH1(STORE_OUT); + } +} + +/* CBC encryption chains, so there is nothing to interleave. It still gains + * the round keys staying put. */ +CRYPTON_TARGET_ARMV8_CRYPTO +void SIZED(crypton_aes_armv8_encrypt_cbc)(aes_block *output, aes_key *key, aes_block *_iv, aes_block *input, uint32_t nb_blocks) +{ + const uint8_t *rk = FWD(key); + uint8x16_t iv = vld1q_u8((const uint8_t *) _iv); + uint8x16_t s[1]; + + for (; nb_blocks-- > 0; input++, output++) { + s[0] = veorq_u8(iv, vld1q_u8((const uint8_t *) input)); + ENC_ROUNDS(EACH1); + iv = s[0]; + EACH1(STORE_OUT); + } +} + +/* Decryption does not chain: each block is deciphered on its own and then + * XORed with the ciphertext before it, so it interleaves like ECB. */ +/* c[] holds the previous block at index 0 and this group's ciphertext after + * it, so block i is XORed with c[i] and the next group starts from c[WAY]. */ +#define CBC_KEEP(i) c[(i) + 1] = s[i]; +#define CBC_XOR(i) vst1q_u8((uint8_t *) (output + (i)), veorq_u8(s[i], c[i])); + +CRYPTON_TARGET_ARMV8_CRYPTO +void SIZED(crypton_aes_armv8_decrypt_cbc)(aes_block *output, aes_key *key, aes_block *_iv, aes_block *input, uint32_t nb_blocks) +{ + const uint8_t *fwd = FWD(key); + const uint8_t *inv = INV(key); + uint8x16_t iv = vld1q_u8((const uint8_t *) _iv); + uint8x16_t s[WAY], c[WAY + 1]; + + for (; nb_blocks >= WAY; nb_blocks -= WAY, input += WAY, output += WAY) { + EACH8(LOAD_IN); + c[0] = iv; + EACH8(CBC_KEEP); + DEC_ROUNDS(EACH8); + EACH8(CBC_XOR); + iv = c[WAY]; + } + for (; nb_blocks > 0; nb_blocks--, input++, output++) { + EACH1(LOAD_IN); + c[1] = s[0]; + DEC_ROUNDS(EACH1); + vst1q_u8((uint8_t *) output, veorq_u8(s[0], iv)); + iv = c[1]; + } +} + +/* + * CTR counts the whole 128 bits big-endian, with the carry crossing the + * halves. The arithmetic is kept identical to + * crypton_aes_generic_encrypt_ctr, which also leaves the caller's IV alone. + */ +#define CTR_SET(i) s[i] = vreinterpretq_u8_u64(vsetq_lane_u64(cpu_to_be64(lo + (i)), base, 1)); +#define CTR_XOR(i) vst1q_u8(output + 16 * (i), \ + veorq_u8(s[i], vld1q_u8(input + 16 * (i)))); + +CRYPTON_TARGET_ARMV8_CRYPTO +void SIZED(crypton_aes_armv8_encrypt_ctr)(uint8_t *output, aes_key *key, aes_block *iv, uint8_t *input, uint32_t len) +{ + const uint8_t *rk = FWD(key); + uint32_t nb_blocks = len / 16; + uint32_t remaining = len % 16; + aes_block ctr; + uint8x16_t s[WAY]; + uint32_t i; + + block128_copy(&ctr, iv); + + /* + * The counter goes through memory only when its low half is about to + * wrap. Otherwise it stays in registers: the top eight bytes do not + * change and the bottom eight are one add away. That matters -- with + * a store and a reload for every block, CTR ran at the same speed for + * 128-bit and 256-bit keys, which is the giveaway that the cipher was + * not what it was waiting for. + */ + for (; nb_blocks >= WAY; nb_blocks -= WAY, input += 16 * WAY, output += 16 * WAY) { + uint64_t lo = be64_to_cpu(ctr.q[1]); + + if (lo + (WAY - 1) < lo) { + /* a block in this group carries into the top half; + * let the scalar increment deal with it */ + for (i = 0; i < WAY; i++, block128_inc_be(&ctr)) + s[i] = vld1q_u8((const uint8_t *) &ctr); + } else { + const uint64x2_t base = + vreinterpretq_u64_u8(vld1q_u8((const uint8_t *) &ctr)); + + EACH8(CTR_SET); + + /* no block above needed a carry, but the counter left + * for the next group still can */ + ctr.q[1] = cpu_to_be64(lo + WAY); + if (lo + WAY < lo) + ctr.q[0] = cpu_to_be64(be64_to_cpu(ctr.q[0]) + 1); + } + ENC_ROUNDS(EACH8); + EACH8(CTR_XOR); + } + for (; nb_blocks > 0; nb_blocks--, input += 16, output += 16) { + s[0] = vld1q_u8((const uint8_t *) &ctr); + block128_inc_be(&ctr); + ENC_ROUNDS(EACH1); + vst1q_u8(output, veorq_u8(s[0], vld1q_u8(input))); + } + if (remaining) { + aes_block o; + + s[0] = vld1q_u8((const uint8_t *) &ctr); + ENC_ROUNDS(EACH1); + vst1q_u8((uint8_t *) &o, s[0]); + for (i = 0; i < remaining; i++) + output[i] = o.b[i] ^ input[i]; + } +} + + +/* + * GCM, rather than the generic loop calling the block function once per + * block through the branch table. Eight counter blocks go through the + * rounds together, and their GHASH folds into a single reduction with + * H^8 .. H^1, so a group costs one reduction instead of eight. The tag + * and the counter stay in registers across the whole run. + * + * GCM's counter is the low 32 bits only and wraps there, so unlike CTR + * there is no carry to chase: the top twelve bytes never move. + * + * What this loop is short of is not overlap but instructions. A group of + * eight blocks compiles to 383 of them on an Apple M4, and only 152 are the + * cipher -- eighty AESE and seventy-two AESMC. The rest is the GHASH and + * the counters. Measured against OpenSSL on the same machine, 16 KiB + * messages under AES-128: + * + * crypton, this loop with the GHASH taken out 19883 MB/s + * OpenSSL, AES-128-CTR 17176 + * OpenSSL, AES-128-GCM 9869 + * crypton, AES-128-GCM 8641 + * + * The cipher here is ahead of OpenSSL's; all of the 0.87 is the GHASH. + * Four ways of closing it were tried and every one measured worse, so they + * are written down here rather than tried again. Each was checked to give + * the same ciphertext and tag as this code for three key sizes and + * thirty-five lengths, encrypt and decrypt, before being timed: + * + * the GHASH held back a group and spread through the next -1.3% + * group's AES rounds, so that the two do not queue to -3.6% + * Karatsuba: three multiplications for the two halves -1.6% + * instead of four + * the same with every product on a lane the instruction 0.0% + * reaches, which does remove sixteen fmov a group + * the same again with the H powers' halves added together -3% + * already, in the spare half of htable + * + * The first fails because there was nothing to gain: a group's AES depends + * on nothing in the group before it, so a wide out-of-order core already + * runs the two together, and holding a group back only adds copies. The + * rest fail for one reason -- none of them makes the loop shorter. + * Karatsuba buys a PMULL for two EOR and an EXT, and the folded table turns + * sixteen `dup` into sixteen `ld1r` and sixteen more address adds. + * + * That last sentence used to end by saying a count which does come down + * wants the data laid out differently. It does, and since the GHASH was + * rewritten against a twisted H -- see cbits/aes/armv8.c -- it is laid out + * differently, so the figures above are what the *previous* GHASH gave. + * Karatsuba pays now that the reduction it has to carry is a third of what + * it was; the other three are untried in the new representation and the + * first of them has no more reason to work than it had. + */ +#define GCM_CTR(i) s[i] = vreinterpretq_u8_u32(vsetq_lane_u32(cpu_to_be32(c + 1 + (i)), base, 3)); +#define GCM_ENC(i) { const uint8x16_t m_ = vld1q_u8(input + 16 * (i)); \ + s[i] = veorq_u8(s[i], m_); \ + vst1q_u8(output + 16 * (i), s[i]); } +#define GCM_DEC(i) { const uint8x16_t m_ = vld1q_u8(input + 16 * (i)); \ + vst1q_u8(output + 16 * (i), veorq_u8(s[i], m_)); \ + s[i] = m_; } +#define GCM_GHASH(i) \ + { \ + poly64x2_t b_ = vreinterpretq_p64_u8(vrev64q_u8(s[i])); \ + if ((i) == 0) \ + b_ = vreinterpretq_p64_u64(veorq_u64( \ + vreinterpretq_u64_p64(b_), acc)); \ + GHASH_MUL(b_, GHASH_POW(ht, WAY - 1 - (i)), \ + GHASH_KARAT(ht, WAY - 1 - (i)), gH, gM, gL); \ + } + +/* the eight blocks now in s[] are the ciphertext; fold them into the tag */ +#define GCM_FOLD() \ + do { \ + uint64x2_t gH = vdupq_n_u64(0), gM = gH, gL = gH; \ + acc = vreinterpretq_u64_u8( \ + vextq_u8(vreinterpretq_u8_u64(acc), \ + vreinterpretq_u8_u64(acc), 8)); \ + EACH8(GCM_GHASH) \ + acc = ghash_reduce(gH, gM, gL); \ + } while (0) + +#define GCM_PROLOGUE \ + const uint8_t *rk = FWD(key); \ + const block128 *ht = gcm->htable; \ + uint8x16_t s[WAY]; \ + uint64x2_t acc = vreinterpretq_u64_u8( \ + ghash_swap(vld1q_u8((const uint8_t *) &gcm->tag))); \ + uint32_t c = be32_to_cpu(gcm->civ.d[3]); \ + uint32x4_t base = vreinterpretq_u32_u8(vld1q_u8((const uint8_t *) &gcm->civ)) + +/* one block, for what is left after the last group of eight */ +#define GCM_ONE(load_m, store_c, ghash_of) \ + do { \ + const uint8x16_t m_ = (load_m); \ + c++; \ + s[0] = vreinterpretq_u8_u32(vsetq_lane_u32(cpu_to_be32(c), base, 3)); \ + ENC_ROUNDS(EACH1); \ + s[0] = veorq_u8(s[0], m_); \ + (store_c); \ + acc = ghash_one(acc, (ghash_of), ht); \ + } while (0) + +#define GCM_EPILOGUE \ + do { \ + gcm->civ.d[3] = cpu_to_be32(c); \ + vst1q_u8((uint8_t *) &gcm->tag, \ + ghash_swap(vreinterpretq_u8_u64(acc))); \ + } while (0) + +CRYPTON_TARGET_ARMV8_CRYPTO +void SIZED(crypton_aes_armv8_gcm_encrypt)(uint8_t *output, aes_gcm *gcm, aes_key *key, uint8_t *input, uint32_t length) +{ + GCM_PROLOGUE; + uint32_t i; + + gcm->length_input += length; + + for (; length >= 16 * WAY; input += 16 * WAY, output += 16 * WAY, length -= 16 * WAY) { + EACH8(GCM_CTR); + c += WAY; + ENC_ROUNDS(EACH8); + EACH8(GCM_ENC); + GCM_FOLD(); + } + for (; length >= 16; input += 16, output += 16, length -= 16) { + GCM_ONE(vld1q_u8(input), vst1q_u8(output, s[0]), s[0]); + } + if (length) { + aes_block m, o; + + block128_zero(&m); + block128_copy_bytes(&m, input, length); + c++; + s[0] = vreinterpretq_u8_u32(vsetq_lane_u32(cpu_to_be32(c), base, 3)); + ENC_ROUNDS(EACH1); + s[0] = veorq_u8(s[0], vld1q_u8((const uint8_t *) &m)); + vst1q_u8((uint8_t *) &o, s[0]); + block128_zero(&m); + for (i = 0; i < length; i++) + output[i] = m.b[i] = o.b[i]; + acc = ghash_one(acc, vld1q_u8((const uint8_t *) &m), ht); + } + GCM_EPILOGUE; +} + +CRYPTON_TARGET_ARMV8_CRYPTO +void SIZED(crypton_aes_armv8_gcm_decrypt)(uint8_t *output, aes_gcm *gcm, aes_key *key, uint8_t *input, uint32_t length) +{ + GCM_PROLOGUE; + uint32_t i; + + gcm->length_input += length; + + for (; length >= 16 * WAY; input += 16 * WAY, output += 16 * WAY, length -= 16 * WAY) { + EACH8(GCM_CTR); + c += WAY; + ENC_ROUNDS(EACH8); + EACH8(GCM_DEC); + GCM_FOLD(); + } + for (; length >= 16; input += 16, output += 16, length -= 16) { + const uint8x16_t ct = vld1q_u8(input); + + GCM_ONE(ct, vst1q_u8(output, s[0]), ct); + } + if (length) { + aes_block m, o; + + block128_zero(&m); + block128_copy_bytes(&m, input, length); + c++; + s[0] = vreinterpretq_u8_u32(vsetq_lane_u32(cpu_to_be32(c), base, 3)); + ENC_ROUNDS(EACH1); + s[0] = veorq_u8(s[0], vld1q_u8((const uint8_t *) &m)); + vst1q_u8((uint8_t *) &o, s[0]); + for (i = 0; i < length; i++) + output[i] = o.b[i]; + acc = ghash_one(acc, vld1q_u8((const uint8_t *) &m), ht); + } + GCM_EPILOGUE; +} + + +/* + * XTS. The tweak for each block is the one before it doubled, so a group's + * eight tweaks are a short chain that runs while the eight AES chains are in + * flight. The first tweak is the data unit number enciphered under the + * second key; spoint skips that many blocks into the unit. + */ +#define XTS_IN(i) s[i] = veorq_u8(vld1q_u8((const uint8_t *) (input + (i))), t[i]); +#define XTS_OUT(i) vst1q_u8((uint8_t *) (output + (i)), veorq_u8(s[i], t[i])); +/* + * The tweak is kept in general-purpose registers and moved into a vector + * one per block. Doubling it costs three integer operations, and the + * integer units have nothing else to do here, where the vector ones are + * busy with the rounds and the exclusive ors: done in vector registers, + * which is what this did, the eight doublings of a group take about as + * long as the eight blocks of AES they are for. + */ +#define XTS_TWEAK(i) do { \ + t[i] = vreinterpretq_u8_u64( \ + vcombine_u64(vcreate_u64(tlo), vcreate_u64(thi))); \ + { \ + const uint64_t _c = thi >> 63; \ + thi = (thi << 1) | (tlo >> 63); \ + tlo = (tlo << 1) ^ (_c ? 0x87 : 0); \ + } \ +} while (0); +/* + * The group after this one's. Doubling is a chain -- each tweak waits for + * the one before it -- and eight of them in front of the rounds that want + * them is time in which nothing else happens, which on a processor whose + * AES is this fast is most of the block. Worked out a group early they + * have nothing to wait for and go through the rounds of the group before, + * which do not want the same units. There are registers enough here for + * both groups at once. + */ +#define XTS_TWEAK_NEXT(i) do { \ + tn[i] = vreinterpretq_u8_u64( \ + vcombine_u64(vcreate_u64(tlo), vcreate_u64(thi))); \ + { \ + const uint64_t _c = thi >> 63; \ + thi = (thi << 1) | (tlo >> 63); \ + tlo = (tlo << 1) ^ (_c ? 0x87 : 0); \ + } \ +} while (0); +#define XTS_TWEAK_ROLL(i) do { t[i] = tn[i]; } while (0); + +CRYPTON_TARGET_ARMV8_CRYPTO +void SIZED(crypton_aes_armv8_encrypt_xts)(aes_block *output, aes_key *key, aes_key *key2, aes_block *dataunit, uint32_t spoint, aes_block *input, uint32_t nb_blocks) +{ + const uint8_t *rk = FWD(key); + uint8x16_t s[WAY], t[WAY], tn[WAY]; + uint64_t tlo, thi; + + { + aes_block first; + + SIZED(crypton_aes_armv8_encrypt_block)(&first, key2, dataunit); + tlo = first.q[0]; + thi = first.q[1]; + } + while (spoint-- > 0) { + const uint64_t c = thi >> 63; + + thi = (thi << 1) | (tlo >> 63); + tlo = (tlo << 1) ^ (c ? 0x87 : 0); + } + + EACH8(XTS_TWEAK); + for (; nb_blocks >= WAY; nb_blocks -= WAY, input += WAY, output += WAY) { + EACH8(XTS_IN); + EACH8(XTS_TWEAK_NEXT); + ENC_ROUNDS(EACH8); + EACH8(XTS_OUT); + EACH8(XTS_TWEAK_ROLL); + } + /* the group that was made ready and not used */ + { + const uint64x2_t back = vreinterpretq_u64_u8(t[0]); + + tlo = vgetq_lane_u64(back, 0); + thi = vgetq_lane_u64(back, 1); + } + for (; nb_blocks > 0; nb_blocks--, input++, output++) { + EACH1(XTS_TWEAK); + EACH1(XTS_IN); + ENC_ROUNDS(EACH1); + EACH1(XTS_OUT); + } +} + +CRYPTON_TARGET_ARMV8_CRYPTO +void SIZED(crypton_aes_armv8_decrypt_xts)(aes_block *output, aes_key *key, aes_key *key2, aes_block *dataunit, uint32_t spoint, aes_block *input, uint32_t nb_blocks) +{ + const uint8_t *fwd = FWD(key); + const uint8_t *inv = INV(key); + uint8x16_t s[WAY], t[WAY], tn[WAY]; + uint64_t tlo, thi; + + { + aes_block first; + + /* the tweak is always enciphered, whichever way the data goes */ + SIZED(crypton_aes_armv8_encrypt_block)(&first, key2, dataunit); + tlo = first.q[0]; + thi = first.q[1]; + } + while (spoint-- > 0) { + const uint64_t c = thi >> 63; + + thi = (thi << 1) | (tlo >> 63); + tlo = (tlo << 1) ^ (c ? 0x87 : 0); + } + + EACH8(XTS_TWEAK); + for (; nb_blocks >= WAY; nb_blocks -= WAY, input += WAY, output += WAY) { + EACH8(XTS_IN); + EACH8(XTS_TWEAK_NEXT); + DEC_ROUNDS(EACH8); + EACH8(XTS_OUT); + EACH8(XTS_TWEAK_ROLL); + } + /* the group that was made ready and not used */ + { + const uint64x2_t back = vreinterpretq_u64_u8(t[0]); + + tlo = vgetq_lane_u64(back, 0); + thi = vgetq_lane_u64(back, 1); + } + for (; nb_blocks > 0; nb_blocks--, input++, output++) { + EACH1(XTS_TWEAK); + EACH1(XTS_IN); + DEC_ROUNDS(EACH1); + EACH1(XTS_OUT); + } +} + +/* + * One message, one call: the additional data, the counter-mode encryption, + * the tag and the QUIC header protection mask, with the running tag and the + * counter kept in registers from end to end. + * + * What this saves over composing crypton_aes_gcm_aad, _encrypt and _finish is + * not the arithmetic but the boundaries. Each of those reaches its + * primitives through a branch table, so the 128-bit state goes back to memory + * at every step and a header of one block pays a reduction of its own. On an + * Apple M4 that framing was 0.07 of the 0.112 microseconds a 100-byte packet + * cost -- more than the encryption of the packet itself. + * + * The GHASH is taken in batches of WAY against the powers of H the key + * already holds, so a batch costs one reduction rather than one per block, + * and the additional data and the length block ride in the same batches as + * the ciphertext instead of being multiplied on their own. + */ + +/* start a batch, or continue one; blen is how many blocks this batch holds */ +#define FG_ABSORB(blk) \ + do { \ + poly64x2_t b_ = vreinterpretq_p64_u8(vrev64q_u8(blk)); \ + if (bn == 0) { \ + uint32_t left_ = gtotal - gidx; \ + blen = left_ < WAY ? left_ : WAY; \ + acc = vreinterpretq_u64_u8( \ + vextq_u8(vreinterpretq_u8_u64(acc), \ + vreinterpretq_u8_u64(acc), 8)); \ + b_ = vreinterpretq_p64_u64(veorq_u64( \ + vreinterpretq_u64_p64(b_), acc)); \ + gH = vdupq_n_u64(0); \ + gM = gH; \ + gL = gH; \ + } \ + GHASH_MUL(b_, GHASH_POW(ht, blen - bn - 1), \ + GHASH_KARAT(ht, blen - bn - 1), gH, gM, gL); \ + gidx++; bn++; \ + if (bn == blen) { acc = ghash_reduce(gH, gM, gL); bn = 0; } \ + } while (0) + +/* a block that is short, zero padded, as GHASH wants it */ +#define FG_PARTIAL(p, n) \ + ({ uint8_t buf_[16]; memset(buf_, 0, 16); memcpy(buf_, (p), (n)); \ + vld1q_u8(buf_); }) + +CRYPTON_TARGET_ARMV8_CRYPTO +void SIZED(crypton_aes_armv8_gcm_fused)(uint8_t *out, const block128 *ht, + aes_key *key, const uint8_t *nonce, + const uint8_t *aad, uint32_t aadlen, + const uint8_t *in, uint32_t inlen, + uint32_t taglen, aes_key *hpkey, + uint32_t sampleoff, uint8_t *mask) +{ + const uint8_t *rk = FWD(key); + uint8x16_t s[WAY]; + uint8x16_t ek0; + uint64x2_t acc = vdupq_n_u64(0), gH = acc, gM = acc, gL = acc; + uint32x4_t base; + uint32_t c = 1, bn = 0, blen = 0, gidx = 0; + uint32_t gtotal = (aadlen + 15) / 16 + (inlen + 15) / 16 + 1; + uint32_t i, done; + uint8_t y0[16], lenb[16]; + uint64_t la, lc; + + memcpy(y0, nonce, 12); + y0[12] = 0; y0[13] = 0; y0[14] = 0; y0[15] = 1; + base = vreinterpretq_u32_u8(vld1q_u8(y0)); + + s[0] = vld1q_u8(y0); + ENC_ROUNDS(EACH1); + ek0 = s[0]; + + for (i = 0; i + 16 <= aadlen; i += 16) + FG_ABSORB(vld1q_u8(aad + i)); + if (i < aadlen) + FG_ABSORB(FG_PARTIAL(aad + i, aadlen - i)); + + for (done = 0; done + 16 * WAY <= inlen; done += 16 * WAY) { + const uint8_t *p = in + done; + uint8_t *q = out + done; + + EACH8(GCM_CTR); + c += WAY; + ENC_ROUNDS(EACH8); + { + const uint8_t *input = p; + uint8_t *output = q; + EACH8(GCM_ENC); + } + FG_ABSORB(s[0]); FG_ABSORB(s[1]); FG_ABSORB(s[2]); FG_ABSORB(s[3]); + FG_ABSORB(s[4]); FG_ABSORB(s[5]); FG_ABSORB(s[6]); FG_ABSORB(s[7]); + } + + for (; done < inlen; done += 16) { + uint32_t n = inlen - done < 16 ? inlen - done : 16; + uint8x16_t m_ = n == 16 ? vld1q_u8(in + done) + : FG_PARTIAL(in + done, n); + c++; + s[0] = vreinterpretq_u8_u32(vsetq_lane_u32(cpu_to_be32(c), base, 3)); + ENC_ROUNDS(EACH1); + s[0] = veorq_u8(s[0], m_); + if (n == 16) { + vst1q_u8(out + done, s[0]); + } else { + uint8_t buf_[16]; + vst1q_u8(buf_, s[0]); + memcpy(out + done, buf_, n); + memset(buf_ + n, 0, 16 - n); + s[0] = vld1q_u8(buf_); + } + FG_ABSORB(s[0]); + } + + la = (uint64_t) aadlen << 3; + lc = (uint64_t) inlen << 3; + for (i = 0; i < 8; i++) lenb[i] = (uint8_t) (la >> (56 - 8 * i)); + for (i = 0; i < 8; i++) lenb[8 + i] = (uint8_t) (lc >> (56 - 8 * i)); + FG_ABSORB(vld1q_u8(lenb)); + + { + uint8_t tbuf[16]; + vst1q_u8(tbuf, veorq_u8(ghash_swap(vreinterpretq_u8_u64(acc)), ek0)); + memcpy(out + inlen, tbuf, taglen); + } + + if (hpkey != 0 && mask != 0) { + block128 sample, m; + memcpy(&sample, out + sampleoff, 16); + crypton_aes_encrypt_ecb(&m, hpkey, &sample, 1); + memcpy(mask, &m, 16); + } +} + + +/* + * The same for decryption. GCM_DEC leaves the ciphertext in s[] once it has + * written the plaintext out, which is what GHASH wants, so the only other + * difference is the end: the tag is compared here rather than written, every + * byte of it whichever way the answer goes. + */ +CRYPTON_TARGET_ARMV8_CRYPTO +int SIZED(crypton_aes_armv8_gcm_fused_dec)(uint8_t *out, const block128 *ht, + aes_key *key, const uint8_t *nonce, + const uint8_t *aad, uint32_t aadlen, + const uint8_t *in, uint32_t inlen, + const uint8_t *tagp, uint32_t taglen, + uint8_t *outtag) +{ + const uint8_t *rk = FWD(key); + uint8x16_t s[WAY]; + uint8x16_t ek0; + uint64x2_t acc = vdupq_n_u64(0), gH = acc, gM = acc, gL = acc; + uint32x4_t base; + uint32_t c = 1, bn = 0, blen = 0, gidx = 0; + uint32_t gtotal = (aadlen + 15) / 16 + (inlen + 15) / 16 + 1; + uint32_t i, done; + uint8_t y0[16], lenb[16], want[16]; + uint64_t la, lc; + uint8_t diff = 0; + + memcpy(y0, nonce, 12); + y0[12] = 0; y0[13] = 0; y0[14] = 0; y0[15] = 1; + base = vreinterpretq_u32_u8(vld1q_u8(y0)); + + s[0] = vld1q_u8(y0); + ENC_ROUNDS(EACH1); + ek0 = s[0]; + + for (i = 0; i + 16 <= aadlen; i += 16) + FG_ABSORB(vld1q_u8(aad + i)); + if (i < aadlen) + FG_ABSORB(FG_PARTIAL(aad + i, aadlen - i)); + + for (done = 0; done + 16 * WAY <= inlen; done += 16 * WAY) { + const uint8_t *p = in + done; + uint8_t *q = out + done; + + EACH8(GCM_CTR); + c += WAY; + ENC_ROUNDS(EACH8); + { + const uint8_t *input = p; + uint8_t *output = q; + EACH8(GCM_DEC); + } + FG_ABSORB(s[0]); FG_ABSORB(s[1]); FG_ABSORB(s[2]); FG_ABSORB(s[3]); + FG_ABSORB(s[4]); FG_ABSORB(s[5]); FG_ABSORB(s[6]); FG_ABSORB(s[7]); + } + + for (; done < inlen; done += 16) { + uint32_t n = inlen - done < 16 ? inlen - done : 16; + uint8x16_t m_ = n == 16 ? vld1q_u8(in + done) + : FG_PARTIAL(in + done, n); + c++; + s[0] = vreinterpretq_u8_u32(vsetq_lane_u32(cpu_to_be32(c), base, 3)); + ENC_ROUNDS(EACH1); + { + uint8x16_t pl = veorq_u8(s[0], m_); + if (n == 16) { + vst1q_u8(out + done, pl); + } else { + uint8_t buf_[16]; + vst1q_u8(buf_, pl); + memcpy(out + done, buf_, n); + } + } + FG_ABSORB(m_); + } + + la = (uint64_t) aadlen << 3; + lc = (uint64_t) inlen << 3; + for (i = 0; i < 8; i++) lenb[i] = (uint8_t) (la >> (56 - 8 * i)); + for (i = 0; i < 8; i++) lenb[8 + i] = (uint8_t) (lc >> (56 - 8 * i)); + FG_ABSORB(vld1q_u8(lenb)); + + vst1q_u8(want, veorq_u8(ghash_swap(vreinterpretq_u8_u64(acc)), ek0)); + if (outtag) { + /* The caller holds the expected tag and will compare it itself. */ + memcpy(outtag, want, taglen); + return 1; + } + for (i = 0; i < taglen; i++) + diff |= (uint8_t) (want[i] ^ tagp[i]); + return diff == 0; +} + +#undef FG_ABSORB +#undef FG_PARTIAL + +#undef WAY +#undef EACH1 +#undef EACH8 +#undef LOAD_IN +#undef STORE_OUT +#undef ENC_STEP +#undef ENC_LAST +#undef DEC_STEP +#undef DEC_LAST +#undef ENC_ROUNDS +#undef DEC_ROUNDS +#undef CBC_KEEP +#undef CBC_XOR +#undef CTR_SET +#undef CTR_XOR +#undef XTS_IN +#undef XTS_OUT +#undef XTS_TWEAK +#undef GCM_CTR +#undef GCM_ENC +#undef GCM_DEC +#undef GCM_GHASH +#undef GCM_FOLD +#undef GCM_PROLOGUE +#undef GCM_ONE +#undef GCM_EPILOGUE diff --git a/cbits/aes/block128.h b/cbits/aes/block128.h --- a/cbits/aes/block128.h +++ b/cbits/aes/block128.h @@ -34,7 +34,21 @@ #include #include -typedef union { +/* Packed, so that the union asks nothing of the address it is at. + * + * Several callers here make one of these out of a pointer of their own -- a + * ciphertext, a tag, a nonce -- and without this that cast produces a pointer + * the standard says may not exist, and reading q[] out of it is a member + * access at an address the type is not aligned for. crypton_align.h used to + * answer that with need_alignment, which is zero on i386 and x86-64: the two + * places the access is architecturally fine and the standard still says + * nothing about it. UndefinedBehaviorSanitizer reported it. + * + * With the alignment declared to be one, the compiler is the one that knows + * what the target can do: on i386, x86-64 and AArch64 it emits the same load + * and store it emitted before, and where a target cannot read a word off an + * odd address it emits what that target needs. */ +typedef union __attribute__((packed)) { uint64_t q[2]; uint32_t d[4]; uint16_t w[8]; diff --git a/cbits/aes/gcm_fused_x86.c b/cbits/aes/gcm_fused_x86.c new file mode 100644 --- /dev/null +++ b/cbits/aes/gcm_fused_x86.c @@ -0,0 +1,1013 @@ +/* + * A fused AES-GCM for x86-64, following the design Kazuho Oku sets out in + * "QUICむけにAES-GCM実装を最適化した話" and implements in picotls's + * lib/fusion.c: keep AES-NI issuing every clock and fit everything else -- + * the additional data, the tag, the QUIC header protection mask -- into the + * gaps it leaves. Written in C with intrinsics rather than assembly, for + * the same reason he gives: the scheduling is what is complicated here, and + * it has to stay readable to stay correct. + * + * Parts of this file follow fusion closely enough to say so: `loadn` and the + * two tables it reads, `loadn_page_end` and `storen` are its `loadn128`, + * `loadn_end_of_page` and `storen128` in another spelling, and the + * reduction of a 256-bit product is the sequence fusion takes from Gueron's + * "AES-GCM for Efficient Authenticated Encryption". fusion is under the MIT + * license, which is in cbits/aes/LICENSE.fusion beside this file. + * + * The powers of H are built once per key, so the additional data, the + * ciphertext and the length block are absorbed against them in batches that + * share one reduction, rather than each block paying for a reduction of its + * own. How many powers, and so how large a batch, is + * CRYPTON_GCM_FUSED_POWERS in crypton_aes.h. + * + * Only messages shorter than CRYPTON_GCM_FUSED_MAX_MESSAGE come here. Above + * that the stitched assembly in cbits/asm is faster, and crypton_aes.c sends + * them there instead; below it, that assembly will not start at all. + */ + +#include + +#ifdef WITH_GCM_FUSED + +#include +#include +#include +#include +#include + +#include +#include + +/* + * aes_key is a struct of bytes, so its round keys sit wherever the members + * before them leave them -- eight bytes in, as it happens. A __m128i * + * pointed at that gets an aligned load and a fault, so each round key is + * fetched with an unaligned load instead. Copying them somewhere aligned + * would cost a copy per call, which at these message lengths is a tenth of + * the whole; the load is free from L1 and the round key is fetched once for + * all six lanes. + */ +#define RK(p, i) \ + _mm_loadu_si128((const __m128i *) ((const uint8_t *) (p) + 16 * (size_t) (i))) + +/* a full sixteen-byte reversal: mask bytes 15,14,...,0 */ +static const __m128i BSWAP = {0x08090a0b0c0d0e0fLL, 0x0001020304050607LL}; + + +#define TGT __attribute__((target("aes,pclmul,sse4.1"))) + +/* the two halves of a value added together: the term Karatsuba needs, and it + * does not depend on what the value is multiplied by */ +TGT static inline __m128i fold(__m128i a) +{ + return _mm_xor_si128(a, _mm_unpackhi_epi64(a, a)); +} + +/* H multiplied by x in the field, which is what puts H and its powers one + * bit up: GCM numbers the bits of a field element the other way round from + * the way the carry-less multiply does, and pre-shifting is what saves the + * correction after every multiply. + * + * Written from the definition. The field is GF(2)[x] modulo x^128 + x^127 + + * x^126 + x^121 + 1, so multiplying by x is a shift of one place, and the + * term that leaves the top comes back as the other four. */ +TGT static __m128i twist(__m128i h) +{ + /* x^127 + x^126 + x^121 + 1, the terms x^128 is congruent to */ + const __m128i poly = _mm_set_epi64x(0xc200000000000000ULL, 1); + /* the top bit of each half */ + __m128i tops = _mm_srli_epi64(h, 63); + /* doubling a polynomial is a shift by one: each half doubles, and the + * low half's top bit becomes the high half's bottom bit */ + __m128i doubled = _mm_or_si128(_mm_add_epi64(h, h), + _mm_slli_si128(tops, 8)); + /* bit 127 is the one that leaves the field; spread it to a mask by + * subtracting it from zero, and it brings the four terms back */ + __m128i mask = _mm_sub_epi64(_mm_setzero_si128(), + _mm_unpackhi_epi64(tops, tops)); + + return _mm_xor_si128(doubled, _mm_and_si128(mask, poly)); +} + +/* one reduction of a 256-bit product back into the field */ +TGT static __m128i reduce256(__m128i lo, __m128i hi) +{ + const __m128i poly = _mm_set_epi64x(0xc200000000000000ULL, 1); + __m128i t; + + t = _mm_clmulepi64_si128(lo, poly, 0x10); + lo = _mm_xor_si128(_mm_shuffle_epi32(lo, 0x4e), t); + t = _mm_clmulepi64_si128(lo, poly, 0x10); + lo = _mm_xor_si128(_mm_shuffle_epi32(lo, 0x4e), t); + return _mm_xor_si128(hi, lo); +} + +/* + * One multiply in exactly the form the hot loop uses it: the left operand + * plain, the right one already twisted. Building the table with the same + * multiply that consumes it is the only way the two conventions cannot drift + * apart. + */ +TGT static __m128i mul_twisted(__m128i a, __m128i ht) +{ + __m128i lo = _mm_clmulepi64_si128(a, ht, 0x00); + __m128i hi = _mm_clmulepi64_si128(a, ht, 0x11); + __m128i mid = _mm_clmulepi64_si128(fold(a), fold(ht), 0x00); + + mid = _mm_xor_si128(mid, _mm_xor_si128(lo, hi)); + lo = _mm_xor_si128(lo, _mm_slli_si128(mid, 8)); + hi = _mm_xor_si128(hi, _mm_srli_si128(mid, 8)); + return reduce256(lo, hi); +} + +TGT void crypton_gcm_fused_key_init(aes_gcm_fused *fk, const aes_key *key) +{ + const uint8_t *rk = key->data; + const int rounds = key->nbr; + __m128i h, p; + int i; + + /* H = E_K(0) */ + h = RK(rk, 0); + for (i = 1; i < rounds; i++) h = _mm_aesenc_si128(h, RK(rk, i)); + h = _mm_aesenclast_si128(h, RK(rk, rounds)); + h = _mm_shuffle_epi8(h, BSWAP); + + { + __m128i ht = twist(h); + p = h; + for (i = 0; i < CRYPTON_GCM_FUSED_POWERS; i++) { + __m128i t = twist(p); + _mm_storeu_si128((__m128i *) &fk->p[i].h, t); + _mm_storeu_si128((__m128i *) &fk->p[i].r, fold(t)); + p = mul_twisted(p, ht); + } + } +} + +/* + * The running product. Three plain locals and a macro, not a struct behind + * a pointer: taking the address of the accumulators is enough to keep them + * out of registers, and then every multiply reloads and restores them. That + * is the same mistake as reaching a table through an index the compiler + * cannot fold, and it costs more here because it is on the inner path. + */ +#define GHASH_DECL __m128i glo = _mm_setzero_si128(), \ + ghi = _mm_setzero_si128(), \ + gmid = _mm_setzero_si128(), \ + gtag = _mm_setzero_si128(); \ + int gidx = 0, gblen = 0, gbpos = 0 + +/* + * Absorb one block. Blocks are taken in batches of at most CRYPTON_GCM_FUSED_POWERS: the + * first of a batch carries in the value the batch before it reduced to, the + * rest go in against descending powers, and the batch ends with the one + * reduction they share. With the batch as long as the message this is + * picotls's single reduction; with it fixed, the state stays a fixed size. + */ +#define GHASH_ONE(blk, unused_power) \ + do { \ + __m128i _b = (blk); \ + __m128i _h, _r; \ + if (gbpos == 0) { \ + int _left = gtotal - gidx; \ + gblen = _left < CRYPTON_GCM_FUSED_POWERS ? _left : CRYPTON_GCM_FUSED_POWERS; \ + _b = _mm_xor_si128(_b, gtag); \ + glo = ghi = gmid = _mm_setzero_si128(); \ + } \ + _h = _mm_loadu_si128((const __m128i *) &fk->p[gblen-gbpos-1].h); \ + _r = _mm_loadu_si128((const __m128i *) &fk->p[gblen-gbpos-1].r); \ + glo = _mm_xor_si128(glo, _mm_clmulepi64_si128(_b, _h, 0x00)); \ + ghi = _mm_xor_si128(ghi, _mm_clmulepi64_si128(_b, _h, 0x11)); \ + gmid = _mm_xor_si128(gmid, \ + _mm_clmulepi64_si128(fold(_b), _r, 0x00)); \ + gidx++; gbpos++; \ + if (gbpos == gblen) { \ + gtag = ghash_reduce(glo, ghi, gmid); \ + gbpos = 0; \ + } \ + } while (0) + +TGT static __m128i ghash_reduce(__m128i glo, __m128i ghi, __m128i gmid) +{ + __m128i mid = _mm_xor_si128(gmid, _mm_xor_si128(glo, ghi)); + __m128i lo = _mm_xor_si128(glo, _mm_slli_si128(mid, 8)); + __m128i hi = _mm_xor_si128(ghi, _mm_srli_si128(mid, 8)); + + return reduce256(lo, hi); +} + +/* zero every byte from n onwards, so a partial block can be fed to GHASH + * without being written out and read back */ +TGT static __m128i clampn(__m128i v, size_t n) +{ + const __m128i idx = {0x0706050403020100LL, 0x0f0e0d0c0b0a0908LL}; + return _mm_and_si128(v, _mm_cmpgt_epi8(_mm_set1_epi8((char) n), idx)); +} + +/* + * A short block, zero padded, without going through the stack. + * + * The obvious way -- zero sixteen bytes, copy n in, load them back -- is + * three trips to memory with a store the load has to wait for, and at these + * lengths that is a tenth of the whole call. Reading the sixteen bytes and + * masking off what is above n is two instructions, but it reads past the end + * of what the caller gave, so it has to be sure those bytes exist. + * + * They do unless the block ends a page. A load of sixteen bytes that starts + * at least sixteen from the end of a page stays inside it; and if the n bytes + * asked for themselves cross the boundary then the next page is there to be + * read as well. What is left is a block near the end of a page whose own + * bytes stop short of it, and that is read aligned -- which cannot leave the + * page -- and shuffled down. This is how picotls's fusion does it. + */ + +/* thirty-two bytes of ones, then thirty-one of zeros: sixteen loaded from + * 32 - n give n bytes of ones and the rest zeros */ +static const uint8_t loadn_mask[63] = { + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}; + +/* the first sixteen map to byte offsets, the rest to zero */ +static const uint8_t loadn_shuffle[31] = { + 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, + 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, + 0x80, 0x80, 0x80, 0x80, 0x80, 0x80, 0x80, 0x80, + 0x80, 0x80, 0x80, 0x80, 0x80, 0x80, 0x80}; + +#if defined(__has_feature) +#if __has_feature(address_sanitizer) +#define NO_ASAN __attribute__((no_sanitize_address)) +#endif +#elif defined(__SANITIZE_ADDRESS__) +#define NO_ASAN __attribute__((no_sanitize_address)) +#endif +#ifndef NO_ASAN +#define NO_ASAN +#endif + +TGT NO_ASAN static __m128i loadn_page_end(const uint8_t *p, size_t n) +{ + uintptr_t shift = (uintptr_t) p & 15; + __m128i pattern = _mm_loadu_si128((const __m128i *) (loadn_shuffle + shift)); + + (void) n; + return _mm_shuffle_epi8( + _mm_load_si128((const __m128i *) ((uintptr_t) p - shift)), pattern); +} + +TGT NO_ASAN static __m128i loadn(const uint8_t *p, size_t n) +{ + __m128i mask = _mm_loadu_si128((const __m128i *) (loadn_mask + 32 - n)); + uintptr_t mod4k = (uintptr_t) p % 4096; + __m128i v; + + if (mod4k <= 4096 - 16 || mod4k + n > 4096) + v = _mm_loadu_si128((const __m128i *) p); + else + v = loadn_page_end(p, n); + return _mm_and_si128(v, mask); +} + +TGT static void storen(uint8_t *p, __m128i v, size_t n) +{ + uint8_t buf[16]; + _mm_storeu_si128((__m128i *) buf, v); + memcpy(p, buf, n); +} + +/* One block. The ten rounds of the common case are written out for the + * same reason the six-wide group is: a loop over a round count that lives in + * the key leaves every round key fetched through an index the compiler + * cannot fold, and adds a branch to a chain that is already latency-bound. */ +TGT static __m128i aes_one_block(const uint8_t *rk, int rounds, __m128i v) +{ + const uint8_t *k = rk; + int i; + + if (rounds == 10) { + v = _mm_xor_si128(v, RK(k, 0)); + v = _mm_aesenc_si128(v, RK(k, 1)); + v = _mm_aesenc_si128(v, RK(k, 2)); + v = _mm_aesenc_si128(v, RK(k, 3)); + v = _mm_aesenc_si128(v, RK(k, 4)); + v = _mm_aesenc_si128(v, RK(k, 5)); + v = _mm_aesenc_si128(v, RK(k, 6)); + v = _mm_aesenc_si128(v, RK(k, 7)); + v = _mm_aesenc_si128(v, RK(k, 8)); + v = _mm_aesenc_si128(v, RK(k, 9)); + return _mm_aesenclast_si128(v, RK(k, 10)); + } + v = _mm_xor_si128(v, RK(k, 0)); + for (i = 1; i < rounds; i++) v = _mm_aesenc_si128(v, RK(k, i)); + return _mm_aesenclast_si128(v, RK(k, rounds)); +} + +/* + * Six blocks at once, with lane 5 free to run a different key schedule from + * the rest. Which schedule that lane uses is chosen once, into a pointer, + * rather than tested inside the rounds, and the six live in named variables + * rather than an array -- an array indexed by a running variable goes to + * memory, and then every round is a load and a store instead of a register + * to register operation, which is the whole of what this is trying to avoid. + * + * Lanes beyond what the caller needs still run. Six are in flight whatever + * the message length, so the spare ones cost nothing, and that is exactly + * why the header protection mask and E(K,Y0) are worth putting in them + * instead of giving each a dependent chain of its own. + */ +#define WIDE6(alt) \ + do { \ + const uint8_t *ak = (alt); \ + int r; \ + t0 = _mm_xor_si128(t0, RK(rk, 0)); \ + t1 = _mm_xor_si128(t1, RK(rk, 0)); \ + t2 = _mm_xor_si128(t2, RK(rk, 0)); \ + t3 = _mm_xor_si128(t3, RK(rk, 0)); \ + t4 = _mm_xor_si128(t4, RK(rk, 0)); \ + t5 = _mm_xor_si128(t5, RK(ak, 0)); \ + for (r = 1; r < rounds; r++) { \ + __m128i k = RK(rk, r); \ + t0 = _mm_aesenc_si128(t0, k); \ + t1 = _mm_aesenc_si128(t1, k); \ + t2 = _mm_aesenc_si128(t2, k); \ + t3 = _mm_aesenc_si128(t3, k); \ + t4 = _mm_aesenc_si128(t4, k); \ + t5 = _mm_aesenc_si128(t5, RK(ak, r)); \ + GSTEP(); \ + } \ + { \ + __m128i k = RK(rk, rounds); \ + t0 = _mm_aesenclast_si128(t0, k); \ + t1 = _mm_aesenclast_si128(t1, k); \ + t2 = _mm_aesenclast_si128(t2, k); \ + t3 = _mm_aesenclast_si128(t3, k); \ + t4 = _mm_aesenclast_si128(t4, k); \ + t5 = _mm_aesenclast_si128(t5, RK(ak, rounds)); \ + } \ + } while (0) + +/* the same with nothing queued to absorb: the decryption side takes its + * GHASH straight from the input and has no queue to drain */ +#define WIDE6_NOQ(alt) \ + do { \ + const uint8_t *ak = (alt); \ + int r; \ + t0 = _mm_xor_si128(t0, RK(rk, 0)); \ + t1 = _mm_xor_si128(t1, RK(rk, 0)); \ + t2 = _mm_xor_si128(t2, RK(rk, 0)); \ + t3 = _mm_xor_si128(t3, RK(rk, 0)); \ + t4 = _mm_xor_si128(t4, RK(rk, 0)); \ + t5 = _mm_xor_si128(t5, RK(ak, 0)); \ + for (r = 1; r < rounds; r++) { \ + __m128i k = RK(rk, r); \ + t0 = _mm_aesenc_si128(t0, k); \ + t1 = _mm_aesenc_si128(t1, k); \ + t2 = _mm_aesenc_si128(t2, k); \ + t3 = _mm_aesenc_si128(t3, k); \ + t4 = _mm_aesenc_si128(t4, k); \ + t5 = _mm_aesenc_si128(t5, RK(ak, r)); \ + } \ + { \ + __m128i k = RK(rk, rounds); \ + t0 = _mm_aesenclast_si128(t0, k); \ + t1 = _mm_aesenclast_si128(t1, k); \ + t2 = _mm_aesenclast_si128(t2, k); \ + t3 = _mm_aesenclast_si128(t3, k); \ + t4 = _mm_aesenclast_si128(t4, k); \ + t5 = _mm_aesenclast_si128(t5, RK(ak, rounds)); \ + } \ + } while (0) + +/* + * The same written out for the ten rounds of AES-128, with a slot for one + * queued multiply between each of the first six. The loop above cannot take + * them: the round count is a value in the key, so there is no place the + * compiler knows is a round apart from the next, and a test before each + * multiply would end the basic block the scheduler works inside. This pass + * runs with a group's multiplies still waiting, and on a short message that + * is most of what it has to do. + */ +#define WROUND6(r, ak) \ + do { \ + __m128i k = RK(rk, r); \ + t0 = _mm_aesenc_si128(t0, k); \ + t1 = _mm_aesenc_si128(t1, k); \ + t2 = _mm_aesenc_si128(t2, k); \ + t3 = _mm_aesenc_si128(t3, k); \ + t4 = _mm_aesenc_si128(t4, k); \ + t5 = _mm_aesenc_si128(t5, RK(ak, r)); \ + } while (0) + +#define WIDE6_10(alt) \ + do { \ + const uint8_t *ak = (alt); \ + t0 = _mm_xor_si128(t0, RK(rk, 0)); \ + t1 = _mm_xor_si128(t1, RK(rk, 0)); \ + t2 = _mm_xor_si128(t2, RK(rk, 0)); \ + t3 = _mm_xor_si128(t3, RK(rk, 0)); \ + t4 = _mm_xor_si128(t4, RK(rk, 0)); \ + t5 = _mm_xor_si128(t5, RK(ak, 0)); \ + WROUND6(1, ak); GAT(0); \ + WROUND6(2, ak); GAT(1); \ + WROUND6(3, ak); GAT(2); \ + WROUND6(4, ak); GAT(3); \ + WROUND6(5, ak); GAT(4); \ + WROUND6(6, ak); GAT(5); \ + WROUND6(7, ak); \ + WROUND6(8, ak); \ + WROUND6(9, ak); \ + { \ + __m128i k = RK(rk, 10); \ + t0 = _mm_aesenclast_si128(t0, k); \ + t1 = _mm_aesenclast_si128(t1, k); \ + t2 = _mm_aesenclast_si128(t2, k); \ + t3 = _mm_aesenclast_si128(t3, k); \ + t4 = _mm_aesenclast_si128(t4, k); \ + t5 = _mm_aesenclast_si128(t5, RK(ak, 10)); \ + } \ + } while (0) + +/* + * v2: six blocks of AES in flight at once, so the ten rounds of one block no + * longer wait on each other -- AES-NI is pipelined and will take one + * instruction a clock as long as the instructions in flight are independent. + * The GHASH multiplies of the group just finished are issued between the + * rounds of the group now running, which is the stitching: they do not want + * the same execution port, so held against each other they cost about what + * the rounds alone cost. + */ + +/* + * The counter block, built without leaving the vector registers. + * + * GCM counts in the low 32 bits of the block, big endian, and wraps there. + * ctr holds the block with its bytes reversed, so those four bytes are the + * low lane and _mm_add_epi32 steps them without carrying into the nonce + * above -- which is the wrap GCM asks for. A shuffle puts the bytes back. + * + * The obvious way -- increment a uint32_t, byte swap it, pinsrd it in -- + * costs a move from a general register to a vector one for every lane, six + * to a group, and those do not come free. + */ +#define CTR6(j) \ + do { \ + ctr = _mm_add_epi32(ctr, one32); \ + b##j = _mm_xor_si128(_mm_shuffle_epi8(ctr, BSWAP), RK(rk, 0)); \ + } while (0) + +#define ROUND6(r) \ + do { \ + __m128i k = RK(rk, r); \ + b0 = _mm_aesenc_si128(b0, k); \ + b1 = _mm_aesenc_si128(b1, k); \ + b2 = _mm_aesenc_si128(b2, k); \ + b3 = _mm_aesenc_si128(b3, k); \ + b4 = _mm_aesenc_si128(b4, k); \ + b5 = _mm_aesenc_si128(b5, k); \ + } while (0) + +#define LAST6(r) \ + do { \ + __m128i k = RK(rk, r); \ + b0 = _mm_aesenclast_si128(b0, k); \ + b1 = _mm_aesenclast_si128(b1, k); \ + b2 = _mm_aesenclast_si128(b2, k); \ + b3 = _mm_aesenclast_si128(b3, k); \ + b4 = _mm_aesenclast_si128(b4, k); \ + b5 = _mm_aesenclast_si128(b5, k); \ + } while (0) + +/* one GHASH multiply, taken from a queue of blocks waiting to be absorbed, + * to be issued in the gaps between AES rounds */ +/* A ring, so that a block queued while others are still waiting costs an + * index and not a move: the queue is walked from both ends and never + * compacted. */ +#define GQ_MASK 15 + +#define GPUSH(v) \ + do { gq[gw] = (v); gw++; gn++; } while (0) + +#define GSTEP() \ + do { \ + if (gn > 0) { \ + GHASH_ONE(gq[gi], gp); \ + gi++; gp--; gn--; \ + } \ + } while (0) + +/* the same at a slot the compiler can see, for the unrolled group below */ +/* + * One queued block, at a slot the compiler can see and with nothing to test + * before it. A test here would end the basic block, and the scheduler works + * inside one: six tests turn the group into twelve blocks and the multiplies + * can no longer be moved up among the rounds, which is the whole point of + * writing them there. The group below is entered only when the queue is + * full, so there is nothing to test. + */ +/* + * The block a slot names, read from the output where the group before it + * left the ciphertext rather than from a copy kept beside it. The copy + * cost six stores a group for bytes already in memory; picotls's fusion + * points its GHASH at the output it has just written for the same reason. + */ +#define GAT(j) GHASH_ONE(_mm_shuffle_epi8( \ + _mm_loadu_si128((const __m128i *) (prev + 16 * (j))), BSWAP), gp - (j)) + +TGT void crypton_gcm_fused_encrypt(uint8_t *out, const aes_gcm_fused *fk, + const aes_key *key, const uint8_t *nonce, + const uint8_t *aad, size_t aadlen, + const uint8_t *in, size_t inlen, size_t taglen, + const aes_key *hpkey, size_t sampleoff, + uint8_t *mask) +{ + const uint8_t *rk = key->data; + const uint8_t *hprk = hpkey != 0 ? hpkey->data : rk; + const int rounds = key->nbr; + const int hprounds = hpkey != 0 ? hpkey->nbr : rounds; + GHASH_DECL; + __m128i ctrbase, ctr, one32, ek0, tag, b0, b1, b2, b3, b4, b5; + const int ntail_pre = (int) ((inlen % 96 + 15) / 16); + int lane_ek0; + __m128i gq[6]; + unsigned gi = 0, gw = 0; + int gn = 0; + size_t nblk = (aadlen + 15) / 16 + (inlen + 15) / 16 + 1; + const int gtotal = (int) nblk; + int gp = (int) nblk; + size_t i; + size_t done; + int lane_mask = 0; + + /* + * Y0: the twelve bytes of nonce and a counter of one. loadn reads the + * nonce where it lies and masks what is above it, so this is one load + * rather than three of four bytes each and a set built from them. + */ + ctrbase = _mm_insert_epi32(loadn(nonce, 12), (int) __builtin_bswap32(1), 3); + ctr = _mm_shuffle_epi8(ctrbase, BSWAP); + one32 = _mm_set_epi32(0, 0, 0, 1); + + lane_ek0 = ntail_pre > 0 && ntail_pre <= 4; + if (!lane_ek0) + ek0 = aes_one_block(rk, rounds, ctrbase); + + /* The additional data goes in first and takes the highest powers, but it + * is only queued here: absorbing it takes multiplies, and the multiplies + * belong in the gaps between the AES rounds below rather than in front + * of them where nothing else is running. */ + /* + * The additional data goes in first and takes the highest powers. It is + * absorbed here rather than queued: what the queue is for is giving the + * rounds below something to interleave with, and a queue that sometimes + * holds the header and sometimes does not forces a test before every + * multiply -- which is what stopped the interleaving from happening at + * all. See the peeled first group below. + */ + { + size_t nfull = aadlen / 16; + size_t rest = aadlen % 16; + + for (i = 0; i < nfull; i++) + GHASH_ONE(_mm_shuffle_epi8( + _mm_loadu_si128((const __m128i *) (aad + i * 16)), BSWAP), 0); + if (rest) + GHASH_ONE(_mm_shuffle_epi8(loadn(aad + nfull * 16, rest), BSWAP), 0); + } + + /* Whole groups of six. The rounds are written out rather than looped: + * the number of them is a value in the key, so a loop over it leaves the + * compiler fetching each round key through an index it cannot fold, and + * the six lanes go to memory with them. Written out, the whole group + * stays in registers, and the six multiplies of the group before can be + * placed between the rounds by hand -- which is the stitching: AES-NI + * and PCLMULQDQ do not contend for the same port, so the multiplies are + * very nearly free. + */ + done = 0; + if (rounds == 10) { + if (done + 96 <= inlen) { + const uint8_t *p = in + done; + uint8_t *q = out + done; + + CTR6(0); CTR6(1); CTR6(2); CTR6(3); CTR6(4); CTR6(5); + ROUND6(1); + ROUND6(2); + ROUND6(3); + ROUND6(4); + ROUND6(5); + ROUND6(6); + ROUND6(7); + ROUND6(8); + ROUND6(9); + LAST6(10); + gn = 0; gi = 0; gw = 0; + + b0 = _mm_xor_si128(b0, _mm_loadu_si128((const __m128i *) p)); + b1 = _mm_xor_si128(b1, _mm_loadu_si128((const __m128i *) (p + 16))); + b2 = _mm_xor_si128(b2, _mm_loadu_si128((const __m128i *) (p + 32))); + b3 = _mm_xor_si128(b3, _mm_loadu_si128((const __m128i *) (p + 48))); + b4 = _mm_xor_si128(b4, _mm_loadu_si128((const __m128i *) (p + 64))); + b5 = _mm_xor_si128(b5, _mm_loadu_si128((const __m128i *) (p + 80))); + _mm_storeu_si128((__m128i *) q, b0); + _mm_storeu_si128((__m128i *) (q + 16), b1); + _mm_storeu_si128((__m128i *) (q + 32), b2); + _mm_storeu_si128((__m128i *) (q + 48), b3); + _mm_storeu_si128((__m128i *) (q + 64), b4); + _mm_storeu_si128((__m128i *) (q + 80), b5); + + done += 96; + } + for (; done + 96 <= inlen; done += 96) { + const uint8_t *p = in + done; + uint8_t *q = out + done; + const uint8_t *prev = out + done - 96; + + CTR6(0); CTR6(1); CTR6(2); CTR6(3); CTR6(4); CTR6(5); + ROUND6(1); GAT(0); + ROUND6(2); GAT(1); + ROUND6(3); GAT(2); + ROUND6(4); GAT(3); + ROUND6(5); GAT(4); + ROUND6(6); GAT(5); + ROUND6(7); + ROUND6(8); + ROUND6(9); + LAST6(10); + gp -= 6; + + b0 = _mm_xor_si128(b0, _mm_loadu_si128((const __m128i *) p)); + b1 = _mm_xor_si128(b1, _mm_loadu_si128((const __m128i *) (p + 16))); + b2 = _mm_xor_si128(b2, _mm_loadu_si128((const __m128i *) (p + 32))); + b3 = _mm_xor_si128(b3, _mm_loadu_si128((const __m128i *) (p + 48))); + b4 = _mm_xor_si128(b4, _mm_loadu_si128((const __m128i *) (p + 64))); + b5 = _mm_xor_si128(b5, _mm_loadu_si128((const __m128i *) (p + 80))); + _mm_storeu_si128((__m128i *) q, b0); + _mm_storeu_si128((__m128i *) (q + 16), b1); + _mm_storeu_si128((__m128i *) (q + 32), b2); + _mm_storeu_si128((__m128i *) (q + 48), b3); + _mm_storeu_si128((__m128i *) (q + 64), b4); + _mm_storeu_si128((__m128i *) (q + 80), b5); + + /* straight from the registers the last round left them in: the + * queue existed only to hold them until the next group's rounds + * could hide the multiplies, and that is 192 bytes of store and + * load per 96 bytes of payload */ + } + + } else { + for (done = 0; done + 96 <= inlen; done += 96) { + const uint8_t *p = in + done; + uint8_t *q = out + done; + int r; + + CTR6(0); CTR6(1); CTR6(2); CTR6(3); CTR6(4); CTR6(5); + for (r = 1; r < rounds; r++) { + ROUND6(r); + GSTEP(); + } + LAST6(rounds); + + b0 = _mm_xor_si128(b0, _mm_loadu_si128((const __m128i *) p)); + b1 = _mm_xor_si128(b1, _mm_loadu_si128((const __m128i *) (p + 16))); + b2 = _mm_xor_si128(b2, _mm_loadu_si128((const __m128i *) (p + 32))); + b3 = _mm_xor_si128(b3, _mm_loadu_si128((const __m128i *) (p + 48))); + b4 = _mm_xor_si128(b4, _mm_loadu_si128((const __m128i *) (p + 64))); + b5 = _mm_xor_si128(b5, _mm_loadu_si128((const __m128i *) (p + 80))); + _mm_storeu_si128((__m128i *) q, b0); + _mm_storeu_si128((__m128i *) (q + 16), b1); + _mm_storeu_si128((__m128i *) (q + 32), b2); + _mm_storeu_si128((__m128i *) (q + 48), b3); + _mm_storeu_si128((__m128i *) (q + 64), b4); + _mm_storeu_si128((__m128i *) (q + 80), b5); + + while (gn > 0) GSTEP(); + gi = 0; gw = 0; + gq[0] = _mm_shuffle_epi8(b0, BSWAP); + gq[1] = _mm_shuffle_epi8(b1, BSWAP); + gq[2] = _mm_shuffle_epi8(b2, BSWAP); + gq[3] = _mm_shuffle_epi8(b3, BSWAP); + gq[4] = _mm_shuffle_epi8(b4, BSWAP); + gq[5] = _mm_shuffle_epi8(b5, BSWAP); + gn = 6; + } + } + + /* The tail. The wide pass below runs only when there are blocks for it: + * sixty AES instructions to fill one lane is not worth it, so a message + * that ends on a group boundary leaves E(K,Y0) the chain it was given + * above and takes the mask on one of its own. + * + * The spare lane carries the mask only when two things hold. The sample + * has to lie entirely in output the groups above have already written: + * this pass reads it while it runs, and the blocks it is itself + * computing are stored after it, so a sample reaching into them would be + * read before it exists. And the two key schedules have to have the + * same number of rounds, because the lanes share the loop that counts + * them and a shorter schedule would be read past its end. TLS and QUIC + * satisfy both; anything else gets the mask on a chain of its own, which + * is what it would have had anyway. */ + { + __m128i t0, t1, t2, t3, t4, t5; + __m128i tv[6]; + size_t toff[6]; + int ntail = 0, j; + + if (done >= inlen) goto no_tail; + + for (i = done; i < inlen; i += 16) { + toff[ntail] = i; + ctr = _mm_add_epi32(ctr, one32); + tv[ntail] = _mm_shuffle_epi8(ctr, BSWAP); + ntail++; + } + + lane_mask = ntail > 0 && ntail <= 5 && hpkey != 0 && mask != 0 + && hprounds == rounds + && sampleoff + 16 <= done; + + if (ntail > 0) { + t0 = tv[0]; + t1 = ntail > 1 ? tv[1] : ctrbase; + t2 = ntail > 2 ? tv[2] : ctrbase; + t3 = ntail > 3 ? tv[3] : ctrbase; + t4 = lane_ek0 ? ctrbase : (ntail > 4 ? tv[4] : ctrbase); + t5 = lane_mask + ? _mm_loadu_si128((const __m128i *) (out + sampleoff)) + : (ntail > 5 ? tv[5] : ctrbase); + /* A group leaves exactly six queued, which is what lets the + * slots below be named at compile time. Where no group ran + * there is nothing to place and the plain pass will do. */ + if (rounds == 10 && done >= 96) { + const uint8_t *prev = out + done - 96; + WIDE6_10(lane_mask ? hprk : rk); + } else { + WIDE6(lane_mask ? hprk : rk); + } + if (lane_ek0) + ek0 = t4; + else + tv[4] = t4; + if (lane_mask) + _mm_storeu_si128((__m128i *) mask, t5); + else if (ntail > 5) + tv[5] = t5; + } +no_tail: + while (gn > 0) GSTEP(); + + /* The last group's ciphertext is absorbed by the pass above where + * there is one to absorb it. A message that ends on a group + * boundary has no such pass, so it is taken here. */ + if (rounds == 10 && done >= 96 && ntail == 0) { + const uint8_t *prev = out + done - 96; + GAT(0); GAT(1); GAT(2); GAT(3); GAT(4); GAT(5); + } + + /* + * The tail blocks, from the registers the pass left them in. They + * were going through an array indexed by the loop variable, which + * the compiler cannot see through and so keeps in memory: every + * block then reloaded its own keystream. Named one per block and + * reached by a test on a count instead, they stay where they are. + */ +#define TAILBLK(j, reg) \ + do { \ + size_t off = done + 16 * (j); \ + size_t n = inlen - off < 16 ? inlen - off : 16; \ + __m128i c = _mm_xor_si128(reg, n == 16 \ + ? _mm_loadu_si128((const __m128i *) (in + off)) \ + : loadn(in + off, n)); \ + if (n == 16) { \ + _mm_storeu_si128((__m128i *) (out + off), c); \ + } else { \ + /* the tag goes in directly above, so those bytes are \ + * written over anyway where there are sixteen to spare */ \ + if (n + taglen >= 16) \ + _mm_storeu_si128((__m128i *) (out + off), c); \ + else \ + storen(out + off, c, n); \ + c = clampn(c, n); \ + } \ + GHASH_ONE(_mm_shuffle_epi8(c, BSWAP), gp); \ + gp--; \ + } while (0) + + if (ntail > 0) TAILBLK(0, t0); + if (ntail > 1) TAILBLK(1, t1); + if (ntail > 2) TAILBLK(2, t2); + if (ntail > 3) TAILBLK(3, t3); + if (ntail > 4) TAILBLK(4, tv[4]); + if (ntail > 5) TAILBLK(5, tv[5]); +#undef TAILBLK + } + + { + /* + * The length block: the additional data's bit count and the + * message's, each big endian in a half, and then reversed like + * every other block on its way to GHASH. + * + * Reversed, that block is the two counts as ordinary little endian + * words with the message's in the low half -- which is one set, and + * no shuffle. Sixteen byte stores to the stack and a load back is + * what it cost before. + */ + GHASH_ONE(_mm_set_epi64x((long long) ((uint64_t) aadlen << 3), + (long long) ((uint64_t) inlen << 3)), gp); + } + + tag = _mm_shuffle_epi8(gtag, BSWAP); + tag = _mm_xor_si128(tag, ek0); + if (taglen == 16) + _mm_storeu_si128((__m128i *) (out + inlen), tag); + else + storen(out + inlen, tag, taglen); + + /* A sample the pass above could not reach -- because it covered blocks + * that pass was still computing, or the tag, which is written just now + * -- is taken here instead, where everything it can cover exists. */ + if (!lane_mask && hpkey != 0 && mask != 0) + _mm_storeu_si128((__m128i *) mask, + aes_one_block(hprk, hprounds, _mm_loadu_si128( + (const __m128i *) (out + sampleoff)))); +} + + +/* + * The same for decryption, which is the simpler of the two. + * + * What GHASH absorbs here is the ciphertext, and the ciphertext is the + * input: it is there before any of the AES has run. So there is no queue -- + * the multiplies of a group go between the rounds of that same group rather + * than waiting for the one after, and nothing is stored and loaded back to + * carry them across. + * + * The tag is compared here, every byte of it whichever way the answer goes, + * and the answer is 1 for a message whose tag matched. + */ + +/* one ciphertext block straight from the input, at a slot named here */ +#define DAT(j) GHASH_ONE(_mm_shuffle_epi8( \ + _mm_loadu_si128((const __m128i *) (p + 16 * (j))), BSWAP), 0) + +/* the next counter block, into a named register */ +#define CTRT(t) \ + do { ctr = _mm_add_epi32(ctr, one32); \ + t = _mm_shuffle_epi8(ctr, BSWAP); } while (0) + +TGT int crypton_gcm_fused_decrypt(uint8_t *out, const aes_gcm_fused *fk, + const aes_key *key, const uint8_t *nonce, + const uint8_t *aad, size_t aadlen, + const uint8_t *in, size_t inlen, + const uint8_t *tag, size_t taglen, + uint8_t *outtag) +{ + const uint8_t *rk = key->data; + const int rounds = key->nbr; + GHASH_DECL; + __m128i ctrbase, ctr, one32, ek0, want, b0, b1, b2, b3, b4, b5; + const int ntail_pre = (int) ((inlen % 96 + 15) / 16); + int lane_ek0, gp = 0; + const int gtotal = (int) ((aadlen + 15) / 16 + (inlen + 15) / 16 + 1); + size_t i; + size_t done; + uint8_t diff = 0; + + ctrbase = _mm_insert_epi32(loadn(nonce, 12), (int) __builtin_bswap32(1), 3); + ctr = _mm_shuffle_epi8(ctrbase, BSWAP); + one32 = _mm_set_epi32(0, 0, 0, 1); + + lane_ek0 = ntail_pre > 0 && ntail_pre <= 5; + if (!lane_ek0) + ek0 = aes_one_block(rk, rounds, ctrbase); + + { + size_t nfull = aadlen / 16; + size_t rest = aadlen % 16; + + for (i = 0; i < nfull; i++) + GHASH_ONE(_mm_shuffle_epi8( + _mm_loadu_si128((const __m128i *) (aad + i * 16)), BSWAP), 0); + if (rest) + GHASH_ONE(_mm_shuffle_epi8(loadn(aad + nfull * 16, rest), BSWAP), 0); + } + + done = 0; + if (rounds == 10) { + for (; done + 96 <= inlen; done += 96) { + const uint8_t *p = in + done; + uint8_t *q = out + done; + + CTR6(0); CTR6(1); CTR6(2); CTR6(3); CTR6(4); CTR6(5); + ROUND6(1); DAT(0); + ROUND6(2); DAT(1); + ROUND6(3); DAT(2); + ROUND6(4); DAT(3); + ROUND6(5); DAT(4); + ROUND6(6); DAT(5); + ROUND6(7); + ROUND6(8); + ROUND6(9); + LAST6(10); + + _mm_storeu_si128((__m128i *) q, + _mm_xor_si128(b0, _mm_loadu_si128((const __m128i *) p))); + _mm_storeu_si128((__m128i *) (q + 16), + _mm_xor_si128(b1, _mm_loadu_si128((const __m128i *) (p + 16)))); + _mm_storeu_si128((__m128i *) (q + 32), + _mm_xor_si128(b2, _mm_loadu_si128((const __m128i *) (p + 32)))); + _mm_storeu_si128((__m128i *) (q + 48), + _mm_xor_si128(b3, _mm_loadu_si128((const __m128i *) (p + 48)))); + _mm_storeu_si128((__m128i *) (q + 64), + _mm_xor_si128(b4, _mm_loadu_si128((const __m128i *) (p + 64)))); + _mm_storeu_si128((__m128i *) (q + 80), + _mm_xor_si128(b5, _mm_loadu_si128((const __m128i *) (p + 80)))); + } + } else { + for (; done + 96 <= inlen; done += 96) { + const uint8_t *p = in + done; + uint8_t *q = out + done; + int r; + + CTR6(0); CTR6(1); CTR6(2); CTR6(3); CTR6(4); CTR6(5); + for (r = 1; r < rounds; r++) { + ROUND6(r); + if (r <= 6) DAT(r - 1); + } + LAST6(rounds); + + _mm_storeu_si128((__m128i *) q, + _mm_xor_si128(b0, _mm_loadu_si128((const __m128i *) p))); + _mm_storeu_si128((__m128i *) (q + 16), + _mm_xor_si128(b1, _mm_loadu_si128((const __m128i *) (p + 16)))); + _mm_storeu_si128((__m128i *) (q + 32), + _mm_xor_si128(b2, _mm_loadu_si128((const __m128i *) (p + 32)))); + _mm_storeu_si128((__m128i *) (q + 48), + _mm_xor_si128(b3, _mm_loadu_si128((const __m128i *) (p + 48)))); + _mm_storeu_si128((__m128i *) (q + 64), + _mm_xor_si128(b4, _mm_loadu_si128((const __m128i *) (p + 64)))); + _mm_storeu_si128((__m128i *) (q + 80), + _mm_xor_si128(b5, _mm_loadu_si128((const __m128i *) (p + 80)))); + } + } + + /* the tail, with E(K,Y0) in a lane the length leaves idle */ + { + __m128i t0, t1, t2, t3, t4, t5; + int ntail = (int) ((inlen - done + 15) / 16), j; + + /* the counter is where the groups left it */ + t0 = t1 = t2 = t3 = t4 = t5 = ctrbase; + if (ntail > 0) CTRT(t0); + if (ntail > 1) CTRT(t1); + if (ntail > 2) CTRT(t2); + if (ntail > 3) CTRT(t3); + if (ntail > 4) CTRT(t4); + if (ntail > 5) CTRT(t5); + + if (ntail > 0) { + WIDE6_NOQ(rk); + if (lane_ek0) ek0 = t5; + } + + for (j = 0; j < ntail; j++) { + size_t off = done + 16 * (size_t) j; + size_t n = inlen - off < 16 ? inlen - off : 16; + __m128i c = n == 16 ? _mm_loadu_si128((const __m128i *) (in + off)) + : loadn(in + off, n); + __m128i ks = j == 0 ? t0 : j == 1 ? t1 : j == 2 ? t2 + : j == 3 ? t3 : j == 4 ? t4 : t5; + + GHASH_ONE(_mm_shuffle_epi8(c, BSWAP), 0); + { + __m128i pl = _mm_xor_si128(ks, c); + if (n == 16) + _mm_storeu_si128((__m128i *) (out + off), pl); + else + storen(out + off, pl, n); + } + } + } + + GHASH_ONE(_mm_set_epi64x((long long) ((uint64_t) aadlen << 3), + (long long) ((uint64_t) inlen << 3)), gp); + + want = _mm_xor_si128(_mm_shuffle_epi8(gtag, BSWAP), ek0); + { + uint8_t got[16]; + _mm_storeu_si128((__m128i *) got, want); + if (outtag) { + /* The caller holds the expected tag and will compare it itself. */ + memcpy(outtag, got, taglen); + return 1; + } + for (i = 0; i < taglen; i++) + diff |= (uint8_t) (got[i] ^ tag[i]); + } + return diff == 0; +} + +#endif /* WITH_GCM_FUSED */ diff --git a/cbits/aes/gcm_fused_x86.h b/cbits/aes/gcm_fused_x86.h new file mode 100644 --- /dev/null +++ b/cbits/aes/gcm_fused_x86.h @@ -0,0 +1,55 @@ +/* + * Copyright (c) 2026 Kazu Yamamoto + * + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * 3. Neither the name of the author nor the names of his contributors + * may be used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHORS OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + */ + +#ifndef CRYPTON_GCM_FUSED_X86_H +#define CRYPTON_GCM_FUSED_X86_H + +#include +#include +#include + +void crypton_gcm_fused_key_init(aes_gcm_fused *fk, const aes_key *key); + +void crypton_gcm_fused_encrypt(uint8_t *out, const aes_gcm_fused *fk, + const aes_key *key, + const uint8_t *nonce, + const uint8_t *aad, size_t aadlen, + const uint8_t *in, size_t inlen, size_t taglen, + const aes_key *hpkey, size_t sampleoff, + uint8_t *mask); + +int crypton_gcm_fused_decrypt(uint8_t *out, const aes_gcm_fused *fk, + const aes_key *key, const uint8_t *nonce, + const uint8_t *aad, size_t aadlen, + const uint8_t *in, size_t inlen, + const uint8_t *tag, size_t taglen, + uint8_t *outtag); + +#endif diff --git a/cbits/aes/gcm_vaes512_x86.c b/cbits/aes/gcm_vaes512_x86.c new file mode 100644 --- /dev/null +++ b/cbits/aes/gcm_vaes512_x86.c @@ -0,0 +1,364 @@ +/* + * AES-GCM through VAES and VPCLMULQDQ in their 512-bit form, which takes + * four blocks where the 256-bit form in cbits/aes/gcm_vaes_x86.c takes two + * and the 128-bit one takes one. The instruction rate is the same, so the + * work per group halves again. + * + * This is that file widened and nothing else: the same group of sixteen + * blocks, the same descending powers of H sharing one reduction, the same + * round keys read from memory rather than held in registers. Four blocks to + * a register means the group fills four of them rather than eight, which is + * what leaves room for the group's own ciphertext to be kept for the GHASH + * when encrypting. + * + * Nothing here is borrowed. OpenSSL's and BoringSSL's AVX-512 AES-GCM is + * Apache-2.0 and s2n-bignum has no GCM at all. + * + * The reduction at the end is a copy of the one in gcm_vaes_x86.c rather + * than a call to it: the two files are compiled for different instruction + * sets, and a function compiled for one cannot be inlined into the other. + */ +#include "aes/gcm_vaes512_x86.h" + +#ifdef WITH_GCM_VAES512 + +#include +#include + +#include +#include + +#if defined(__clang__) || defined(__GNUC__) +#define V512_TARGET \ + __attribute__((target("avx512f,avx512bw,avx512vl,aes,pclmul,vaes,vpclmulqdq"))) +#else +#define V512_TARGET +#endif + +/* + * Thirty-two blocks to a group, four to a register, so eight registers are + * in flight. The number of registers is what matters as much as the blocks + * per instruction: AES-NI has a latency of four cycles against a throughput + * of one, so it takes eight independent chains to keep two ports busy. Four + * registers of four blocks was written first and measured *slower* than the + * 256-bit path -- the blocks per instruction had doubled and the chains had + * halved. + * + * The table holds sixteen powers of H, so the GHASH of a group is two passes + * of sixteen blocks, the second picking up the tag the first leaves. + */ +#define V512WIDE 8 +#define V512HALF 4 +#define V512BYTES 512 + +/* + * The 128-bit multiply of cbits/aes/x86ni.c, done in all four lanes at once. + * Every shuffle and shift here works inside its own 128-bit lane, so the + * four products never mix: what comes out is four independent carry-less + * products, accumulated by the caller and reduced together at the end. + */ +V512_TARGET +static inline void clmul512(__m512i a, __m512i b, __m512i *lo, __m512i *hi) +{ + const __m512i bswap = _mm512_set4_epi32( + 0x00010203, 0x04050607, 0x08090a0b, 0x0c0d0e0f); + __m512i t3, t4, t5, t6; + + a = _mm512_shuffle_epi8(a, bswap); + + /* Karatsuba, as in the 128-bit one: three multiplies, not four */ + t3 = _mm512_clmulepi64_epi128(a, b, 0x00); + t6 = _mm512_clmulepi64_epi128(a, b, 0x11); + t4 = _mm512_clmulepi64_epi128( + _mm512_xor_si512(a, _mm512_shuffle_epi32(a, _MM_PERM_BADC)), + _mm512_xor_si512(b, _mm512_shuffle_epi32(b, _MM_PERM_BADC)), + 0x00); + t4 = _mm512_xor_si512(t4, _mm512_xor_si512(t3, t6)); + + t5 = _mm512_bslli_epi128(t4, 8); + t4 = _mm512_bsrli_epi128(t4, 8); + + *lo = _mm512_xor_si512(t3, t5); + *hi = _mm512_xor_si512(t6, t4); +} + +/* + * The reduction of cbits/aes/x86ni.c. By the time it runs the four lanes + * have been folded into one, so there is one 256-bit product to reduce. + */ +V512_TARGET +static inline __m128i gfred512(__m128i t3, __m128i t6) +{ + const __m128i bswap = _mm_set_epi8(0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15); + __m128i t2, t4, t5, t7, t8, t9; + + t7 = _mm_srli_epi32(t3, 31); + t8 = _mm_srli_epi32(t6, 31); + t3 = _mm_slli_epi32(t3, 1); + t6 = _mm_slli_epi32(t6, 1); + + t9 = _mm_srli_si128(t7, 12); + t8 = _mm_slli_si128(t8, 4); + t7 = _mm_slli_si128(t7, 4); + t3 = _mm_or_si128(t3, t7); + t6 = _mm_or_si128(t6, t8); + t6 = _mm_or_si128(t6, t9); + + t7 = _mm_slli_epi32(t3, 31); + t8 = _mm_slli_epi32(t3, 30); + t9 = _mm_slli_epi32(t3, 25); + + t7 = _mm_xor_si128(t7, t8); + t7 = _mm_xor_si128(t7, t9); + t8 = _mm_srli_si128(t7, 4); + t7 = _mm_slli_si128(t7, 12); + t3 = _mm_xor_si128(t3, t7); + + t2 = _mm_srli_epi32(t3, 1); + t4 = _mm_srli_epi32(t3, 2); + t5 = _mm_srli_epi32(t3, 7); + t2 = _mm_xor_si128(t2, t4); + t2 = _mm_xor_si128(t2, t5); + t2 = _mm_xor_si128(t2, t8); + t3 = _mm_xor_si128(t3, t2); + t6 = _mm_xor_si128(t6, t3); + + return _mm_shuffle_epi8(t6, bswap); +} + +/* the four 128-bit lanes of a register added together */ +V512_TARGET +static inline __m128i fold512(__m512i v) +{ + __m256i h = _mm256_xor_si256(_mm512_castsi512_si256(v), + _mm512_extracti64x4_epi64(v, 1)); + + return _mm_xor_si128(_mm256_castsi256_si128(h), + _mm256_extracti128_si256(h, 1)); +} + +/* + * Sixteen blocks against H^16 .. H^1, one reduction. v[j] holds blocks 4j + * to 4j+3 in its four lanes, so the powers for it are H^(16-4j) down to + * H^(13-4j) -- the table's own order the other way round, hence the four + * 128-bit loads rather than one 512-bit one. + */ +V512_TARGET +static inline __m128i ghash16(__m128i tag, const table_4bit htable, + const __m512i *v, int fromwire) +{ + __m512i lo = _mm512_setzero_si512(), hi = _mm512_setzero_si512(); + __m512i l, h, b; + int j; + + for (j = 0; j < V512HALF; j++) { + const __m128i p0 = + _mm_loadu_si128((const __m128i *) &htable[15 - 4 * j]); + const __m128i p1 = + _mm_loadu_si128((const __m128i *) &htable[14 - 4 * j]); + const __m128i p2 = + _mm_loadu_si128((const __m128i *) &htable[13 - 4 * j]); + const __m128i p3 = + _mm_loadu_si128((const __m128i *) &htable[12 - 4 * j]); + __m512i hp = _mm512_castsi128_si512(p0); + + hp = _mm512_inserti32x4(hp, p1, 1); + hp = _mm512_inserti32x4(hp, p2, 2); + hp = _mm512_inserti32x4(hp, p3, 3); + + b = fromwire ? _mm512_loadu_si512(v + j) : v[j]; + if (j == 0) /* the running tag joins the first block */ + b = _mm512_xor_si512( + b, _mm512_inserti32x4( + _mm512_setzero_si512(), tag, 0)); + clmul512(b, hp, &l, &h); + lo = _mm512_xor_si512(lo, l); + hi = _mm512_xor_si512(hi, h); + } + + /* the four lanes are independent products of the same sum: fold them */ + return gfred512(fold512(lo), fold512(hi)); +} + +#define KK512(r) _mm512_broadcast_i32x4(_mm_loadu_si128(k_ + (r))) + +#define AESENC32(K) \ + do { \ + const __m512i rk = (K); \ + v[0] = _mm512_aesenc_epi128(v[0], rk); \ + v[1] = _mm512_aesenc_epi128(v[1], rk); \ + v[2] = _mm512_aesenc_epi128(v[2], rk); \ + v[3] = _mm512_aesenc_epi128(v[3], rk); \ + v[4] = _mm512_aesenc_epi128(v[4], rk); \ + v[5] = _mm512_aesenc_epi128(v[5], rk); \ + v[6] = _mm512_aesenc_epi128(v[6], rk); \ + v[7] = _mm512_aesenc_epi128(v[7], rk); \ + } while (0) + +#define AESLAST32(K) \ + do { \ + const __m512i rk = (K); \ + v[0] = _mm512_aesenclast_epi128(v[0], rk); \ + v[1] = _mm512_aesenclast_epi128(v[1], rk); \ + v[2] = _mm512_aesenclast_epi128(v[2], rk); \ + v[3] = _mm512_aesenclast_epi128(v[3], rk); \ + v[4] = _mm512_aesenclast_epi128(v[4], rk); \ + v[5] = _mm512_aesenclast_epi128(v[5], rk); \ + v[6] = _mm512_aesenclast_epi128(v[6], rk); \ + v[7] = _mm512_aesenclast_epi128(v[7], rk); \ + } while (0) + +#define XOR32(K) \ + do { \ + const __m512i rk = (K); \ + v[0] = _mm512_xor_si512(v[0], rk); \ + v[1] = _mm512_xor_si512(v[1], rk); \ + v[2] = _mm512_xor_si512(v[2], rk); \ + v[3] = _mm512_xor_si512(v[3], rk); \ + v[4] = _mm512_xor_si512(v[4], rk); \ + v[5] = _mm512_xor_si512(v[5], rk); \ + v[6] = _mm512_xor_si512(v[6], rk); \ + v[7] = _mm512_xor_si512(v[7], rk); \ + } while (0) + +/* + * The rounds are written out rather than looped for the reason the 128-bit + * loop gives: the count is a value in the key, and a loop over it leaves the + * round key reached through an index the compiler cannot fold. + */ +V512_TARGET +static inline __attribute__((always_inline)) void +rounds32(__m512i *v, const uint8_t *k, const int nbr) +{ + const __m128i *k_ = (const __m128i *) k; + + XOR32(KK512(0)); + AESENC32(KK512(1)); AESENC32(KK512(2)); AESENC32(KK512(3)); + AESENC32(KK512(4)); AESENC32(KK512(5)); AESENC32(KK512(6)); + AESENC32(KK512(7)); AESENC32(KK512(8)); AESENC32(KK512(9)); + if (nbr > 10) { + AESENC32(KK512(10)); AESENC32(KK512(11)); + if (nbr > 12) { + AESENC32(KK512(12)); AESENC32(KK512(13)); + } + } + AESLAST32(_mm512_broadcast_i32x4(_mm_loadu_si128(k_ + nbr))); +} + +/* sixteen consecutive counters, four to a register. GCM counts in the low + * thirty-two bits and wraps there, which is what _mm_add_epi32 does. */ +V512_TARGET +static inline __m128i counters32(__m512i *v, __m128i iv, __m128i one, + __m128i bswap) +{ + int j; + + for (j = 0; j < V512WIDE; j++) { + __m128i c0, c1, c2, c3; + __m512i c; + + iv = _mm_add_epi32(iv, one); + c0 = _mm_shuffle_epi8(iv, bswap); + iv = _mm_add_epi32(iv, one); + c1 = _mm_shuffle_epi8(iv, bswap); + iv = _mm_add_epi32(iv, one); + c2 = _mm_shuffle_epi8(iv, bswap); + iv = _mm_add_epi32(iv, one); + c3 = _mm_shuffle_epi8(iv, bswap); + + c = _mm512_castsi128_si512(c0); + c = _mm512_inserti32x4(c, c1, 1); + c = _mm512_inserti32x4(c, c2, 2); + c = _mm512_inserti32x4(c, c3, 3); + v[j] = c; + } + return iv; +} + +/* + * Inlined into three callers with the round count a constant in each, which + * folds away the tests inside the group loop -- the same reason the 256-bit + * file gives, where without it AES-256 lost what AES-128 gained. + */ +V512_TARGET +static inline __attribute__((always_inline)) uint32_t +bulk_n(uint8_t *output, aes_gcm *gcm, const aes_key *key, + const uint8_t *input, uint32_t length, int decrypt, const int nbr) +{ + const __m128i bswap = _mm_setr_epi8(7,6,5,4,3,2,1,0,15,14,13,12,11,10,9,8); + const __m128i one = _mm_set_epi32(0, 1, 0, 0); + __m512i v[V512WIDE]; + __m128i iv, tag; + uint32_t groups = length / V512BYTES; + uint32_t done = 0; + uint32_t g; + int j; + + if (groups == 0) + return 0; + + iv = _mm_shuffle_epi8(_mm_loadu_si128((const __m128i *) &gcm->civ), bswap); + tag = _mm_loadu_si128((const __m128i *) &gcm->tag); + + for (g = 0; g < groups; g++, input += V512BYTES, output += V512BYTES, + done += V512BYTES) { + iv = counters32(v, iv, one, bswap); + rounds32(v, key->data, nbr); + + for (j = 0; j < V512WIDE; j++) { + const __m512i in = + _mm512_loadu_si512((const __m512i *) (input + 64 * j)); + + v[j] = _mm512_xor_si512(v[j], in); + _mm512_storeu_si512((__m512i *) (output + 64 * j), v[j]); + } + /* sixteen blocks to a pass, since that is how many powers of + * H the table holds; the second picks up the tag the first + * leaves */ + tag = ghash16(tag, gcm->htable, + decrypt ? (const __m512i *) input : v, + decrypt); + tag = ghash16(tag, gcm->htable, + decrypt ? (const __m512i *) (input + 256) + : v + V512HALF, + decrypt); + } + + _mm_storeu_si128((__m128i *) &gcm->civ, _mm_shuffle_epi8(iv, bswap)); + _mm_storeu_si128((__m128i *) &gcm->tag, tag); + return done; +} + +V512_TARGET +static uint32_t bulk(uint8_t *output, aes_gcm *gcm, const aes_key *key, + const uint8_t *input, uint32_t length, int decrypt) +{ + switch (key->nbr) { + case 10: + return bulk_n(output, gcm, key, input, length, decrypt, 10); + case 12: + return bulk_n(output, gcm, key, input, length, decrypt, 12); + case 14: + return bulk_n(output, gcm, key, input, length, decrypt, 14); + default: + return 0; /* not a key length AES has */ + } +} + +uint32_t crypton_gcm_vaes512_bulk_encrypt(uint8_t *output, aes_gcm *gcm, + const aes_key *key, + const uint8_t *input, + uint32_t length) +{ + return bulk(output, gcm, key, input, length, 0); +} + +uint32_t crypton_gcm_vaes512_bulk_decrypt(uint8_t *output, aes_gcm *gcm, + const aes_key *key, + const uint8_t *input, + uint32_t length) +{ + return bulk(output, gcm, key, input, length, 1); +} + +#endif diff --git a/cbits/aes/gcm_vaes512_x86.h b/cbits/aes/gcm_vaes512_x86.h new file mode 100644 --- /dev/null +++ b/cbits/aes/gcm_vaes512_x86.h @@ -0,0 +1,37 @@ +/* + * AES-GCM in the 512-bit form of the AES and carry-less multiply + * instructions, which do four blocks where the 128-bit ones do one and the + * 256-bit ones in cbits/aes/gcm_vaes_x86.c do two. + */ +#ifndef CRYPTON_GCM_VAES512_X86_H +#define CRYPTON_GCM_VAES512_X86_H + +#include + +#if defined(ARCH_X86) && defined(__x86_64__) && defined(WITH_AESNI) \ + && defined(WITH_PCLMUL) +#define WITH_GCM_VAES512 +#endif + +#ifdef WITH_GCM_VAES512 + +#include +#include + +/* The same contract as the 256-bit pair: whole groups off the front, the + * counter left in gcm->civ and the running tag in gcm->tag, and the number + * of bytes taken returned, a multiple of 512 and possibly zero. */ +uint32_t crypton_gcm_vaes512_bulk_encrypt(uint8_t *output, aes_gcm *gcm, + const aes_key *key, + const uint8_t *input, + uint32_t length); +uint32_t crypton_gcm_vaes512_bulk_decrypt(uint8_t *output, aes_gcm *gcm, + const aes_key *key, + const uint8_t *input, + uint32_t length); + +/* Thirty-two blocks is the least it will start on. */ +#define GCM_VAES512_MIN_BLOCKS 32 + +#endif +#endif diff --git a/cbits/aes/gcm_vaes_x86.c b/cbits/aes/gcm_vaes_x86.c new file mode 100644 --- /dev/null +++ b/cbits/aes/gcm_vaes_x86.c @@ -0,0 +1,325 @@ +/* + * AES-GCM through VAES and VPCLMULQDQ: the same AES and carry-less multiply + * instructions the rest of this directory uses, in their 256-bit form, which + * takes two blocks where the 128-bit form takes one. The instruction rate is + * the same, so the throughput is twice -- measured at 2.00 on an EPYC 9V74, + * for both halves, with nothing else in the loop. + * + * Nothing here is borrowed. OpenSSL's and BoringSSL's wide AES-GCM is + * Apache-2.0, s2n-bignum has no GCM at all, and the CRYPTOGAMS assembly in + * cbits/asm is 128-bit throughout -- its `vaesenc` is the VEX encoding of + * AESENC on XMM, not the VAES extension. So this is the 128-bit loop in + * cbits/aes/x86ni_impl.c widened, and it keeps that loop's shape: a group of + * counters through the rounds together, the round keys read from memory + * rather than held in registers, and the group's GHASH folded against + * descending powers of H so that sixteen blocks share one reduction. + * + * The powers come from the table crypton_aesni_hinit_pclmul fills. It has + * sixteen slots and the 128-bit loop uses eight of them; this uses all + * sixteen, which is why that function now fills them. + */ +#include "aes/gcm_vaes_x86.h" + +#ifdef WITH_GCM_VAES + +#include +#include + +#include +#include + +#if defined(__clang__) || defined(__GNUC__) +#define VAES_TARGET __attribute__((target("avx2,aes,pclmul,vaes,vpclmulqdq"))) +#else +#define VAES_TARGET +#endif + +/* sixteen blocks to a group, two to a register */ +#define VWIDE 8 + +/* + * The 128-bit multiply of cbits/aes/x86ni.c, done in both lanes at once. + * Every shuffle and shift here works inside its own 128-bit half, so the two + * products never mix: what comes out is two independent carry-less products, + * accumulated by the caller and reduced together at the end. + */ +VAES_TARGET +static inline void clmul256(__m256i a, __m256i b, __m256i *lo, __m256i *hi) +{ + const __m256i bswap = _mm256_setr_epi8( + 15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,0, + 15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,0); + __m256i t3, t4, t5, t6; + + a = _mm256_shuffle_epi8(a, bswap); + + /* Karatsuba, as in the 128-bit one: three multiplies, not four */ + t3 = _mm256_clmulepi64_epi128(a, b, 0x00); + t6 = _mm256_clmulepi64_epi128(a, b, 0x11); + t4 = _mm256_clmulepi64_epi128( + _mm256_xor_si256(a, _mm256_shuffle_epi32(a, 0x4e)), + _mm256_xor_si256(b, _mm256_shuffle_epi32(b, 0x4e)), 0x00); + t4 = _mm256_xor_si256(t4, _mm256_xor_si256(t3, t6)); + + t5 = _mm256_slli_si256(t4, 8); + t4 = _mm256_srli_si256(t4, 8); + + *lo = _mm256_xor_si256(t3, t5); + *hi = _mm256_xor_si256(t6, t4); +} + +/* + * The reduction of cbits/aes/x86ni.c, unchanged: by the time it runs the two + * lanes have been folded into one, so there is one 256-bit product to reduce + * and no reason to do it twice. + */ +VAES_TARGET +static inline __m128i gfred(__m128i t3, __m128i t6) +{ + const __m128i bswap = _mm_set_epi8(0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15); + __m128i t2, t4, t5, t7, t8, t9; + + t7 = _mm_srli_epi32(t3, 31); + t8 = _mm_srli_epi32(t6, 31); + t3 = _mm_slli_epi32(t3, 1); + t6 = _mm_slli_epi32(t6, 1); + + t9 = _mm_srli_si128(t7, 12); + t8 = _mm_slli_si128(t8, 4); + t7 = _mm_slli_si128(t7, 4); + t3 = _mm_or_si128(t3, t7); + t6 = _mm_or_si128(t6, t8); + t6 = _mm_or_si128(t6, t9); + + t7 = _mm_slli_epi32(t3, 31); + t8 = _mm_slli_epi32(t3, 30); + t9 = _mm_slli_epi32(t3, 25); + + t7 = _mm_xor_si128(t7, t8); + t7 = _mm_xor_si128(t7, t9); + t8 = _mm_srli_si128(t7, 4); + t7 = _mm_slli_si128(t7, 12); + t3 = _mm_xor_si128(t3, t7); + + t2 = _mm_srli_epi32(t3, 1); + t4 = _mm_srli_epi32(t3, 2); + t5 = _mm_srli_epi32(t3, 7); + t2 = _mm_xor_si128(t2, t4); + t2 = _mm_xor_si128(t2, t5); + t2 = _mm_xor_si128(t2, t8); + t3 = _mm_xor_si128(t3, t2); + t6 = _mm_xor_si128(t6, t3); + + return _mm_shuffle_epi8(t6, bswap); +} + +/* + * Sixteen blocks against H^16 .. H^1, one reduction. v[j] holds blocks 2j + * and 2j+1 in its low and high halves, so the powers for it are H^(16-2j) + * low and H^(15-2j) high -- the table's own order the other way round, hence + * the pair of 128-bit loads rather than one 256-bit one. + */ +VAES_TARGET +static inline __m128i ghash16(__m128i tag, const table_4bit htable, + const __m256i *v, int fromwire) +{ + __m256i lo = _mm256_setzero_si256(), hi = _mm256_setzero_si256(); + __m256i l, h, b; + int j; + + for (j = 0; j < VWIDE; j++) { + const __m256i hp = _mm256_set_m128i( + _mm_loadu_si128((const __m128i *) &htable[14 - 2 * j]), + _mm_loadu_si128((const __m128i *) &htable[15 - 2 * j])); + + b = fromwire ? _mm256_loadu_si256(v + j) : v[j]; + if (j == 0) /* the running tag joins the first block */ + b = _mm256_xor_si256( + b, _mm256_inserti128_si256( + _mm256_setzero_si256(), tag, 0)); + clmul256(b, hp, &l, &h); + lo = _mm256_xor_si256(lo, l); + hi = _mm256_xor_si256(hi, h); + } + + /* the two lanes are independent products of the same sum: fold them */ + return gfred(_mm_xor_si128(_mm256_castsi256_si128(lo), + _mm256_extracti128_si256(lo, 1)), + _mm_xor_si128(_mm256_castsi256_si128(hi), + _mm256_extracti128_si256(hi, 1))); +} + +#define KK(r) _mm256_broadcastsi128_si256(_mm_loadu_si128(k_ + (r))) + +#define AESENC16(K) \ + do { \ + const __m256i rk = (K); \ + v[0] = _mm256_aesenc_epi128(v[0], rk); \ + v[1] = _mm256_aesenc_epi128(v[1], rk); \ + v[2] = _mm256_aesenc_epi128(v[2], rk); \ + v[3] = _mm256_aesenc_epi128(v[3], rk); \ + v[4] = _mm256_aesenc_epi128(v[4], rk); \ + v[5] = _mm256_aesenc_epi128(v[5], rk); \ + v[6] = _mm256_aesenc_epi128(v[6], rk); \ + v[7] = _mm256_aesenc_epi128(v[7], rk); \ + } while (0) + +#define AESLAST16(K) \ + do { \ + const __m256i rk = (K); \ + v[0] = _mm256_aesenclast_epi128(v[0], rk); \ + v[1] = _mm256_aesenclast_epi128(v[1], rk); \ + v[2] = _mm256_aesenclast_epi128(v[2], rk); \ + v[3] = _mm256_aesenclast_epi128(v[3], rk); \ + v[4] = _mm256_aesenclast_epi128(v[4], rk); \ + v[5] = _mm256_aesenclast_epi128(v[5], rk); \ + v[6] = _mm256_aesenclast_epi128(v[6], rk); \ + v[7] = _mm256_aesenclast_epi128(v[7], rk); \ + } while (0) + +#define XOR16(K) \ + do { \ + const __m256i rk = (K); \ + v[0] = _mm256_xor_si256(v[0], rk); \ + v[1] = _mm256_xor_si256(v[1], rk); \ + v[2] = _mm256_xor_si256(v[2], rk); \ + v[3] = _mm256_xor_si256(v[3], rk); \ + v[4] = _mm256_xor_si256(v[4], rk); \ + v[5] = _mm256_xor_si256(v[5], rk); \ + v[6] = _mm256_xor_si256(v[6], rk); \ + v[7] = _mm256_xor_si256(v[7], rk); \ + } while (0) + +/* + * The rounds are written out rather than looped for the reason the 128-bit + * loop gives: the count is a value in the key, and a loop over it leaves the + * round key reached through an index the compiler cannot fold. + */ +VAES_TARGET +static inline __attribute__((always_inline)) void +rounds16(__m256i *v, const uint8_t *k, const int nbr) +{ + const __m128i *k_ = (const __m128i *) k; + + XOR16(KK(0)); + AESENC16(KK(1)); AESENC16(KK(2)); AESENC16(KK(3)); + AESENC16(KK(4)); AESENC16(KK(5)); AESENC16(KK(6)); + AESENC16(KK(7)); AESENC16(KK(8)); AESENC16(KK(9)); + if (nbr > 10) { + AESENC16(KK(10)); AESENC16(KK(11)); + if (nbr > 12) { + AESENC16(KK(12)); AESENC16(KK(13)); + } + } + AESLAST16(_mm256_broadcastsi128_si256(_mm_loadu_si128(k_ + nbr))); +} + +/* sixteen consecutive counters, two to a register. GCM counts in the low + * thirty-two bits and wraps there, which is what _mm_add_epi32 does. */ +VAES_TARGET +static inline __m128i counters16(__m256i *v, __m128i iv, __m128i one, + __m128i bswap) +{ + int j; + + for (j = 0; j < VWIDE; j++) { + __m128i c0, c1; + + iv = _mm_add_epi32(iv, one); + c0 = _mm_shuffle_epi8(iv, bswap); + iv = _mm_add_epi32(iv, one); + c1 = _mm_shuffle_epi8(iv, bswap); + v[j] = _mm256_set_m128i(c1, c0); + } + return iv; +} + +/* + * The round count is a value in the key, and a test on it inside the group + * loop is a branch the 128-bit path does not have: that one compiles a + * separate function for each key length through the SIZED macro. This does + * the same thing by being inlined into three callers with the count a + * constant in each, which folds the tests away. Without it AES-256 lost + * what AES-128 gained. + */ +VAES_TARGET +static inline __attribute__((always_inline)) uint32_t +bulk_n(uint8_t *output, aes_gcm *gcm, const aes_key *key, + const uint8_t *input, uint32_t length, int decrypt, const int nbr) +{ + const __m128i bswap = _mm_setr_epi8(7,6,5,4,3,2,1,0,15,14,13,12,11,10,9,8); + const __m128i one = _mm_set_epi32(0, 1, 0, 0); + __m256i v[VWIDE]; + __m128i iv, tag; + uint32_t groups = length / 256; + uint32_t done = 0; + uint32_t g; + int j; + + if (groups == 0) + return 0; + + iv = _mm_shuffle_epi8(_mm_loadu_si128((const __m128i *) &gcm->civ), bswap); + tag = _mm_loadu_si128((const __m128i *) &gcm->tag); + + for (g = 0; g < groups; g++, input += 256, output += 256, done += 256) { + iv = counters16(v, iv, one, bswap); + rounds16(v, key->data, nbr); + + /* + * The ciphertext is what the tag is taken over, and after + * this exclusive or it is in v itself when encrypting. When + * decrypting it is the input, which the GHASH below reads + * again rather than keeping: there are sixteen vector + * registers, the group fills eight of them, and a second + * eight held aside is what makes the compiler spill. The + * input is in L1 from the load a moment ago. + */ + for (j = 0; j < VWIDE; j++) { + const __m256i in = + _mm256_loadu_si256((const __m256i *) (input + 32 * j)); + + v[j] = _mm256_xor_si256(v[j], in); + _mm256_storeu_si256((__m256i *) (output + 32 * j), v[j]); + } + tag = ghash16(tag, gcm->htable, + decrypt ? (const __m256i *) input : v, + decrypt); + } + + _mm_storeu_si128((__m128i *) &gcm->civ, _mm_shuffle_epi8(iv, bswap)); + _mm_storeu_si128((__m128i *) &gcm->tag, tag); + return done; +} + +VAES_TARGET +static uint32_t bulk(uint8_t *output, aes_gcm *gcm, const aes_key *key, + const uint8_t *input, uint32_t length, int decrypt) +{ + switch (key->nbr) { + case 10: + return bulk_n(output, gcm, key, input, length, decrypt, 10); + case 12: + return bulk_n(output, gcm, key, input, length, decrypt, 12); + case 14: + return bulk_n(output, gcm, key, input, length, decrypt, 14); + default: + return 0; /* not a key length AES has */ + } +} + +uint32_t crypton_gcm_vaes_bulk_encrypt(uint8_t *output, aes_gcm *gcm, + const aes_key *key, + const uint8_t *input, uint32_t length) +{ + return bulk(output, gcm, key, input, length, 0); +} + +uint32_t crypton_gcm_vaes_bulk_decrypt(uint8_t *output, aes_gcm *gcm, + const aes_key *key, + const uint8_t *input, uint32_t length) +{ + return bulk(output, gcm, key, input, length, 1); +} + +#endif diff --git a/cbits/aes/gcm_vaes_x86.h b/cbits/aes/gcm_vaes_x86.h new file mode 100644 --- /dev/null +++ b/cbits/aes/gcm_vaes_x86.h @@ -0,0 +1,35 @@ +/* + * AES-GCM in the 256-bit form of the AES and carry-less multiply + * instructions, which do two blocks where the 128-bit ones do one. + */ +#ifndef CRYPTON_GCM_VAES_X86_H +#define CRYPTON_GCM_VAES_X86_H + +#include + +#if defined(ARCH_X86) && defined(__x86_64__) && defined(WITH_AESNI) \ + && defined(WITH_PCLMUL) +#define WITH_GCM_VAES +#endif + +#ifdef WITH_GCM_VAES + +#include +#include + +/* The bulk of a message in whole groups of sixteen blocks, leaving the + * counter in gcm->civ and the running tag in gcm->tag where the caller's own + * loop expects to find them. Returns the number of bytes taken, which is a + * multiple of 256 and may be zero. */ +uint32_t crypton_gcm_vaes_bulk_encrypt(uint8_t *output, aes_gcm *gcm, + const aes_key *key, + const uint8_t *input, uint32_t length); +uint32_t crypton_gcm_vaes_bulk_decrypt(uint8_t *output, aes_gcm *gcm, + const aes_key *key, + const uint8_t *input, uint32_t length); + +/* Sixteen blocks is the least it will start on. */ +#define GCM_VAES_MIN_BLOCKS 16 + +#endif +#endif diff --git a/cbits/aes/gcm_x86_asm.c b/cbits/aes/gcm_x86_asm.c new file mode 100644 --- /dev/null +++ b/cbits/aes/gcm_x86_asm.c @@ -0,0 +1,266 @@ +/* + * Copyright (c) 2026 Kazu Yamamoto + * + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * 3. Neither the name of the author nor the names of his contributors + * may be used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHORS OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + * + * What the stitched AES-GCM assembly in cbits/asm needs in order to be + * called: the two pieces of state it reads are laid out the way OpenSSL + * lays them out, which is not the way crypton does, and neither is worth + * changing the rest of the library for. Both are built here, per message, + * from the key schedule and the H that crypton already has. + */ + +#include "crypton_cpu.h" + +#ifdef WITH_X86_GCM_ASM + +#include +#include +#include +#include +#include +#include + +#ifdef WITH_TARGET_ATTRIBUTES +#define TARGET_PCLMUL __attribute__((target("sse4.1,pclmul"))) +#else +#define TARGET_PCLMUL +#endif + +#define ALIGNMENT(n) __attribute__((aligned(n))) + +/* + * cbits/asm/aesni-gcm-x86_64-*.S. Both answer how many bytes they got + * through, which is a multiple of six blocks and is zero if the message is + * shorter than they are willing to start on. + */ +size_t crypton_gcm_asm_encrypt(const void *in, void *out, size_t len, + const void *key, uint8_t ivec[16], void *Xi); +size_t crypton_gcm_asm_decrypt(const void *in, void *out, size_t len, + const void *key, uint8_t ivec[16], void *Xi); + +/* + * The key schedule as the assembly reads it: the encryption round keys, + * and at offset 240 the number of rounds less one, which is the count + * OpenSSL's AES-NI key setup leaves there -- 9, 11 and 13 -- and what the + * assembly compares against to tell the three key sizes apart. + */ +struct asm_key { + uint8_t rd_key[240]; + uint32_t rounds; +}; + +/* + * The assembly reads the running tag from the front of this and the powers + * of H from 32 bytes in, which is where they sit in OpenSSL's GCM context + * -- the 16 bytes between them hold H itself there and nothing here. + * Powers up to the sixth are used, since the loop takes six blocks at a + * time, and each pair of them is followed by the halves the Karatsuba + * multiplication would otherwise have to add up again. + */ +struct asm_gcm { + block128 xi; + block128 unused; + block128 htable[9]; +}; + +/* + * H, and every power of it, is kept shifted up by one bit: GCM numbers the + * bits of a field element the other way round from the way the carry-less + * multiply does, and pre-shifting the operand is what saves the correction + * after each multiply. + * + * Written from the definition. The field is GF(2)[x] modulo x^128 + x^127 + + * x^126 + x^121 + 1, so multiplying by x is a shift of one place, and the + * term that leaves the top comes back as the other four. + */ +TARGET_PCLMUL +static __m128i twist(__m128i h) +{ + /* x^127 + x^126 + x^121 + 1, the terms x^128 is congruent to */ + const __m128i poly = _mm_set_epi64x(0xc200000000000000ULL, 1); + /* the top bit of each half */ + __m128i tops = _mm_srli_epi64(h, 63); + /* doubling a polynomial is a shift by one: each half doubles, and the + * low half's top bit becomes the high half's bottom bit */ + __m128i doubled = _mm_or_si128(_mm_add_epi64(h, h), + _mm_slli_si128(tops, 8)); + /* bit 127 is the one that leaves the field; spread it to a mask by + * subtracting it from zero, and it brings the four terms back */ + __m128i mask = _mm_sub_epi64(_mm_setzero_si128(), + _mm_unpackhi_epi64(tops, tops)); + + return _mm_xor_si128(doubled, _mm_and_si128(mask, poly)); +} + +/* the two halves of a value added together, which is the term Karatsuba + * needs and which does not depend on what it is multiplied by */ +TARGET_PCLMUL +static __m128i fold(__m128i a) +{ + return _mm_xor_si128(a, _mm_unpackhi_epi64(a, a)); +} + +/* + * The table the assembly reads: the first six powers of H, each shifted up + * by one, and after each pair the two halves of both of them added + * together, which is the term the Karatsuba multiplication would otherwise + * work out for itself every time. + * + * The powers are not computed here. crypton's own table already holds + * H^1 to H^8, in the byte order the multiply wants and unshifted, so + * twisting each one is the whole of the work -- which is why this is worth + * doing per message rather than keeping a second table in the context. + */ +TARGET_PCLMUL +static void init_htable(struct asm_gcm *st, const aes_gcm *gcm) +{ + int i; + + for (i = 0; i < 3; i++) { + __m128i odd = twist(_mm_loadu_si128( + (const __m128i *) &gcm->htable[2 * i])); + __m128i even = twist(_mm_loadu_si128( + (const __m128i *) &gcm->htable[2 * i + 1])); + + _mm_storeu_si128((__m128i *) &st->htable[3 * i + 0], odd); + _mm_storeu_si128((__m128i *) &st->htable[3 * i + 1], even); + _mm_storeu_si128((__m128i *) &st->htable[3 * i + 2], + _mm_unpacklo_epi64(fold(odd), fold(even))); + } +} + +/* + * The counter block, whose bottom 32 bits are what counts, as GCM has it. + * crypton keeps the value it last used and the assembly wants the one it + * is to use next, so this steps between the two conventions at each end. + */ +static void ctr32_bump(uint8_t ivec[16], uint32_t delta) +{ + uint32_t c = ((uint32_t) ivec[12] << 24) | ((uint32_t) ivec[13] << 16) + | ((uint32_t) ivec[14] << 8) | (uint32_t) ivec[15]; + + c += delta; + ivec[12] = (uint8_t) (c >> 24); + ivec[13] = (uint8_t) (c >> 16); + ivec[14] = (uint8_t) (c >> 8); + ivec[15] = (uint8_t) c; +} + +/* + * How much of the message to hand over. The assembly works in groups of + * six blocks, and what it leaves behind goes to a loop that works in groups + * of eight and then one at a time. Handing over every group it could take + * often leaves two or four blocks to go through one at a time, which at a + * multiply apiece costs more than the three groups it takes to line the + * remainder up on eight. So the length is rounded down to whichever number + * of six-block groups within reach leaves the least behind, modulo eight. + */ +static uint32_t handover(uint32_t blocks) +{ + uint32_t groups = blocks / 6; + uint32_t best = groups; + uint32_t least = (blocks - 6 * groups) % 8; + uint32_t i; + + for (i = 1; i <= 3 && groups >= i; i++) { + uint32_t left = (blocks - 6 * (groups - i)) % 8; + + if (left < least) { + least = left; + best = groups - i; + } + } + return best * 6 * 16; +} + +int crypton_gcm_asm_usable(void) +{ + static int resolved = 0; + static int usable = 0; + + if (!resolved) { + const uint32_t need = CRYPTON_X86_AVX | CRYPTON_X86_MOVBE + | CRYPTON_X86_PCLMUL; + + usable = (crypton_x86_simd_features() & need) == need; + resolved = 1; + } + return usable; +} + +TARGET_PCLMUL +static uint32_t bulk(int encrypt, uint8_t *output, aes_gcm *gcm, aes_key *key, + const uint8_t *input, uint32_t length) +{ + struct asm_gcm st ALIGNMENT(16); + struct asm_key k ALIGNMENT(16); + uint8_t ivec[16] ALIGNMENT(16); + uint32_t hand; + size_t done; + + if (!crypton_gcm_asm_usable()) + return 0; + + /* below its own minimum the assembly does nothing, so in that case + * give it everything and let it decide */ + hand = handover(length / 16); + if (hand < (encrypt ? 0x60 * 3 : 0x60)) + hand = length; + + memcpy(k.rd_key, key->data, 16 * (size_t) (key->nbr + 1)); + k.rounds = (uint32_t) key->nbr - 1; + memcpy(&st.xi, &gcm->tag, 16); + memcpy(ivec, &gcm->civ, 16); + ctr32_bump(ivec, 1); + init_htable(&st, gcm); + + done = encrypt + ? crypton_gcm_asm_encrypt(input, output, hand, &k, ivec, &st.xi) + : crypton_gcm_asm_decrypt(input, output, hand, &k, ivec, &st.xi); + + if (done > 0) { + ctr32_bump(ivec, 0xffffffff); + memcpy(&gcm->tag, &st.xi, 16); + memcpy(&gcm->civ, ivec, 16); + } + return (uint32_t) done; +} + +uint32_t crypton_gcm_asm_bulk_encrypt(uint8_t *output, aes_gcm *gcm, aes_key *key, + const uint8_t *input, uint32_t length) +{ + return bulk(1, output, gcm, key, input, length); +} + +uint32_t crypton_gcm_asm_bulk_decrypt(uint8_t *output, aes_gcm *gcm, aes_key *key, + const uint8_t *input, uint32_t length) +{ + return bulk(0, output, gcm, key, input, length); +} + +#endif diff --git a/cbits/aes/gcm_x86_asm.h b/cbits/aes/gcm_x86_asm.h new file mode 100644 --- /dev/null +++ b/cbits/aes/gcm_x86_asm.h @@ -0,0 +1,72 @@ +/* + * Copyright (c) 2026 Kazu Yamamoto + * + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * 3. Neither the name of the author nor the names of his contributors + * may be used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHORS OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + */ +#ifndef CRYPTON_AES_GCM_X86_ASM_H +#define CRYPTON_AES_GCM_X86_ASM_H + +#ifdef WITH_X86_GCM_ASM + +#include +#include + +/* + * How long a message has to be before it is handed over. The assembly + * needs the powers of H in a layout of its own, and what does not fill six + * blocks is left to the loop that would otherwise have taken eight at a + * time, so a short message pays for the setup and for a tail that goes + * through one block at a time. Encryption also spends its first twelve + * blocks in plain counter mode before the stitched loop starts, which is + * why it has to be given a good deal more before it comes out ahead. + * + * Measured on a Haswell-generation x86-64: decryption is ahead from 288 + * bytes up, by 5 to 20 per cent, and below that loses by about as much. + * Encryption between 288 and 1024 bytes is a wash -- it swings either way + * by up to ten per cent depending on how the length divides into groups -- + * and from 1152 bytes it is ahead by 9 per cent or more, reaching 25 to 40 + * per cent once the message is a few kilobytes. + */ +#define GCM_ASM_MIN_BLOCKS_ENC 72 +#define GCM_ASM_MIN_BLOCKS_DEC 18 + +/* whether the processor has what cbits/asm/aesni-gcm-x86_64-*.S needs */ +int crypton_gcm_asm_usable(void); + +/* + * Encrypt or decrypt from the front of the message, hashing as it goes, and + * answer how much was done -- a multiple of 96 bytes, possibly none of it. + * The counter and the running tag in *gcm are brought forward by that much. + */ +uint32_t crypton_gcm_asm_bulk_encrypt(uint8_t *output, aes_gcm *gcm, aes_key *key, + const uint8_t *input, uint32_t length); +uint32_t crypton_gcm_asm_bulk_decrypt(uint8_t *output, aes_gcm *gcm, aes_key *key, + const uint8_t *input, uint32_t length); + +#endif + +#endif diff --git a/cbits/aes/gf.c b/cbits/aes/gf.c --- a/cbits/aes/gf.c +++ b/cbits/aes/gf.c @@ -144,3 +144,19 @@ block128_cpu_swap_be(a, &b); /* restore BE order when done */ } } + +/* + * Four GHASH steps at once. The generic table-driven multiply has no cheaper + * way to do this than one block at a time; the point of the entry is that the + * PMULL and PCLMUL versions can fold the four products into one reduction, so + * the GCM loops hand over four blocks whenever they have them. + */ +void crypton_aes_generic_gf_mul4(block128 *a, const block128 *blocks, const table_4bit htable) +{ + int i; + + for (i = 0; i < 4; i++) { + block128_xor(a, &blocks[i]); + crypton_aes_generic_gf_mul(a, htable); + } +} diff --git a/cbits/aes/gf.h b/cbits/aes/gf.h --- a/cbits/aes/gf.h +++ b/cbits/aes/gf.h @@ -38,5 +38,6 @@ void crypton_aes_generic_hinit(table_4bit htable, const block128 *h); void crypton_aes_generic_gf_mul(block128 *a, const table_4bit htable); +void crypton_aes_generic_gf_mul4(block128 *a, const block128 *blocks, const table_4bit htable); #endif diff --git a/cbits/aes/x86ni.c b/cbits/aes/x86ni.c --- a/cbits/aes/x86ni.c +++ b/cbits/aes/x86ni.c @@ -37,7 +37,10 @@ #include #include #include +#include +#include #include +#include #ifdef ARCH_X86 #define ALIGN_UP(addr, size) (((addr) + ((size) - 1)) & (~((size) - 1))) @@ -56,7 +59,23 @@ return _mm_xor_si128(key, keygened); } +/* + * SubWord(RotWord(w)), which is the one part of a key schedule that would + * otherwise want the S-box out of a table. AESKEYGENASSIST computes it for + * the words in lanes 1 and 3 and exclusive-ors the round constant into the + * result; the constant is an immediate, so it is left at zero here and + * applied by the caller, which keeps the 192-bit schedule a loop. + */ TARGET_AESNI +static uint32_t key_sub_rot(uint32_t w) +{ + const __m128i t = + _mm_aeskeygenassist_si128(_mm_setr_epi32(0, (int) w, 0, 0), 0x00); + + return (uint32_t) _mm_cvtsi128_si32(_mm_srli_si128(t, 4)); +} + +TARGET_AESNI static __m128i aes_128_key_expansion_aa(__m128i key, __m128i keygened) { keygened = _mm_shuffle_epi32(keygened, 0xaa); @@ -105,6 +124,34 @@ for (i = 0; i < 20; i++) _mm_storeu_si128(((__m128i *) out) + i, k[i]); break; + case 24: { + /* + * The 192-bit schedule takes six words at a time where a round + * key is four, so it does not fall into 128-bit pieces the way + * the other two do; it is built a word at a time instead. + * Thirteen round keys, then the eleven inverted ones. + */ + static const uint32_t rcon[8] = { + 0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40, 0x80, + }; + uint32_t w[52]; + + memcpy(w, ikey, 24); + for (i = 6; i < 52; i++) { + uint32_t t = w[i - 1]; + + if (i % 6 == 0) + t = key_sub_rot(t) ^ rcon[i / 6 - 1]; + w[i] = w[i - 6] ^ t; + } + memcpy(out, w, sizeof(w)); + + for (i = 1; i < 12; i++) + _mm_storeu_si128(((__m128i *) out) + 12 + i, + _mm_aesimc_si128(_mm_loadu_si128( + ((const __m128i *) w) + (12 - i)))); + break; + } case 32: #define AES_256_key_exp_1(K1, K2, RCON) aes_128_key_expansion_ff(K1, _mm_aeskeygenassist_si128(K2, RCON)) #define AES_256_key_exp_2(K1, K2) aes_128_key_expansion_aa(K1, _mm_aeskeygenassist_si128(K2, 0x00)) @@ -162,46 +209,109 @@ return v; } +/* memcpy rather than a cast, as everything else that moves bytes between a + * crypton structure and a word does since block128 was packed. The cast + * this replaces was written in 2014, when block128 was a plain union and + * taking a __m128i * to one promised nothing the type did not already + * offer. Packing it dropped its alignment to one, and the promise with it: + * gcc has reported the cast ever since, and it is right to -- the attribute + * on the local below is what makes the promise true, and nothing obliges + * the next edit to keep it. Sixteen bytes of memcpy between a __m128i and + * a sixteen-byte object is one movdqu, or nothing at all when both stay in + * registers. */ TARGET_AESNI static __m128i gfmul_generic(__m128i tag, const table_4bit htable) { - aes_block _t ALIGNMENT(16); - _mm_store_si128((__m128i *) &_t, tag); + aes_block _t; + memcpy(&_t, &tag, sizeof _t); crypton_aes_generic_gf_mul(&_t, htable); - tag = _mm_load_si128((__m128i *) &_t); + memcpy(&tag, &_t, sizeof tag); return tag; } +/* Four or eight GHASH steps. The table-driven multiply gains nothing from + * seeing them together; the PCLMUL versions below fold them into one + * reduction. */ +TARGET_AESNI +static __m128i gfmul4_generic(__m128i tag, const table_4bit htable, const __m128i *m) +{ + int i; + + for (i = 0; i < 4; i++) + tag = gfmul_generic(_mm_xor_si128(tag, m[i]), htable); + return tag; +} + +TARGET_AESNI +static __m128i gfmul8_generic(__m128i tag, const table_4bit htable, const __m128i *m) +{ + int i; + + for (i = 0; i < 8; i++) + tag = gfmul_generic(_mm_xor_si128(tag, m[i]), htable); + return tag; +} + #ifdef WITH_PCLMUL __m128i (*crypton_gfmul_branch_ptr)(__m128i a, const table_4bit t) = gfmul_generic; #define gfmul(a,t) ((*crypton_gfmul_branch_ptr)(a,t)) +__m128i (*crypton_gfmul4_branch_ptr)(__m128i a, const table_4bit t, const __m128i *m) = gfmul4_generic; +#define gfmul4(a,t,m) ((*crypton_gfmul4_branch_ptr)(a,t,m)) + +__m128i (*crypton_gfmul8_branch_ptr)(__m128i a, const table_4bit t, const __m128i *m) = gfmul8_generic; +#define gfmul8(a,t,m) ((*crypton_gfmul8_branch_ptr)(a,t,m)) + /* See Intel carry-less-multiplication-instruction-in-gcm-mode-paper.pdf * * Adapted from figure 5, with additional byte swapping so that interface * is simimar to crypton_aes_generic_gf_mul. */ +/* + * The 256-bit carry-less product, before the reflection fixup and the + * reduction. Split out from the reduction because both of those are linear + * over XOR: several products can be added together and fixed up just once, + * which is what gf_mul4 below does. + */ TARGET_AESNI_PCLMUL -static __m128i gfmul_pclmuldq(__m128i a, const table_4bit htable) +static inline void clmul_pclmuldq(__m128i a, __m128i b, __m128i *lo, __m128i *hi) { - __m128i b, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7, tmp8, tmp9; + __m128i tmp3, tmp4, tmp5, tmp6; __m128i bswap_mask = _mm_set_epi8(0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15); a = _mm_shuffle_epi8(a, bswap_mask); - b = _mm_loadu_si128((__m128i *) htable); + /* + * Karatsuba: the middle term of the product is + * (a0^a1)(b0^b1) ^ a0b0 ^ a1b1, which is one carry-less multiply + * where the direct form needs two. Three PCLMULQDQ rather than + * four, at the cost of a few shuffles and exclusive ors -- worth it + * wherever the multiply is the narrower port, which is every part + * this has been measured on. + */ tmp3 = _mm_clmulepi64_si128(a, b, 0x00); - tmp4 = _mm_clmulepi64_si128(a, b, 0x10); - tmp5 = _mm_clmulepi64_si128(a, b, 0x01); tmp6 = _mm_clmulepi64_si128(a, b, 0x11); + tmp4 = _mm_clmulepi64_si128(_mm_xor_si128(a, _mm_shuffle_epi32(a, 0x4e)), + _mm_xor_si128(b, _mm_shuffle_epi32(b, 0x4e)), + 0x00); + tmp4 = _mm_xor_si128(tmp4, _mm_xor_si128(tmp3, tmp6)); - tmp4 = _mm_xor_si128(tmp4, tmp5); tmp5 = _mm_slli_si128(tmp4, 8); tmp4 = _mm_srli_si128(tmp4, 8); - tmp3 = _mm_xor_si128(tmp3, tmp5); - tmp6 = _mm_xor_si128(tmp6, tmp4); + *lo = _mm_xor_si128(tmp3, tmp5); + *hi = _mm_xor_si128(tmp6, tmp4); +} + +/* Shift the 256-bit product left by one to undo GCM's bit reflection, then + * reduce modulo the GCM polynomial. This is the expensive half. */ +TARGET_AESNI_PCLMUL +static inline __m128i gfred_pclmuldq(__m128i tmp3, __m128i tmp6) +{ + __m128i tmp2, tmp4, tmp5, tmp7, tmp8, tmp9; + __m128i bswap_mask = _mm_set_epi8(0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15); + tmp7 = _mm_srli_epi32(tmp3, 31); tmp8 = _mm_srli_epi32(tmp6, 31); tmp3 = _mm_slli_epi32(tmp3, 1); @@ -236,14 +346,41 @@ return _mm_shuffle_epi8(tmp6, bswap_mask); } +TARGET_AESNI_PCLMUL +static __m128i gfmul_pclmuldq(__m128i a, const table_4bit htable) +{ + __m128i lo, hi; + + clmul_pclmuldq(a, _mm_loadu_si128((__m128i *) htable), &lo, &hi); + return gfred_pclmuldq(lo, hi); +} + +TARGET_AESNI_PCLMUL void crypton_aesni_hinit_pclmul(table_4bit htable, const block128 *h) { + __m128i bswap_mask = _mm_set_epi8(0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15); + __m128i p; + int i; + /* When pclmul is active we don't need to fill the table. Instead we just * store H at index 0. It is written in reverse order, so function * gfmul_pclmuldq will not byte-swap this value. */ - htable->q[0] = bitfn_swap64(h->q[1]); - htable->q[1] = bitfn_swap64(h->q[0]); + htable[0].q[0] = bitfn_swap64(h->q[1]); + htable[0].q[1] = bitfn_swap64(h->q[0]); + + /* Indices 1..15 get H^2 .. H^16, which is what lets a group of blocks + * fold into one reduction: gf_mul4 uses the first four, the 128-bit + * GCM loop eight, and the 256-bit one all sixteen. The table has + * sixteen slots and now they are all used. Filling the upper half + * costs eight multiplies once per key, which is nothing beside a + * message. */ + p = _mm_loadu_si128((const __m128i *) h); + for (i = 1; i < 16; i++) { + p = gfmul_pclmuldq(p, htable); + _mm_storeu_si128((__m128i *) &htable[i], + _mm_shuffle_epi8(p, bswap_mask)); + } } TARGET_AESNI_PCLMUL @@ -255,13 +392,74 @@ _mm_storeu_si128((__m128i *) a, _b); } +/* + * Four GHASH steps -- ((((a^b0)H ^ b1)H ^ b2)H ^ b3)H -- with a single + * reduction. Expanded that is (a^b0)H^4 ^ b1*H^3 ^ b2*H^2 ^ b3*H, so the + * four products can be summed first and reduced once, which is where the + * time goes. Aggregated reduction, from the Intel GCM paper. + */ +TARGET_AESNI_PCLMUL +static __m128i gfmul4_pclmul(__m128i tag, const table_4bit htable, const __m128i *m) +{ + __m128i lo, hi, l, h; + int i; + + clmul_pclmuldq(_mm_xor_si128(tag, m[0]), + _mm_loadu_si128((const __m128i *) &htable[3]), &lo, &hi); + + for (i = 1; i < 4; i++) { + clmul_pclmuldq(m[i], _mm_loadu_si128((const __m128i *) &htable[3 - i]), + &l, &h); + lo = _mm_xor_si128(lo, l); + hi = _mm_xor_si128(hi, h); + } + + return gfred_pclmuldq(lo, hi); +} + +TARGET_AESNI_PCLMUL +static __m128i gfmul8_pclmul(__m128i tag, const table_4bit htable, const __m128i *m) +{ + __m128i lo, hi, l, h; + int i; + + clmul_pclmuldq(_mm_xor_si128(tag, m[0]), + _mm_loadu_si128((const __m128i *) &htable[7]), &lo, &hi); + + for (i = 1; i < 8; i++) { + clmul_pclmuldq(m[i], _mm_loadu_si128((const __m128i *) &htable[7 - i]), + &l, &h); + lo = _mm_xor_si128(lo, l); + hi = _mm_xor_si128(hi, h); + } + + return gfred_pclmuldq(lo, hi); +} + +TARGET_AESNI_PCLMUL +void crypton_aesni_gf_mul4_pclmul(block128 *a, const block128 *blocks, const table_4bit htable) +{ + __m128i m[4]; + int i; + + for (i = 0; i < 4; i++) + m[i] = _mm_loadu_si128((const __m128i *) &blocks[i]); + + _mm_storeu_si128((__m128i *) a, + gfmul4_pclmul(_mm_loadu_si128((const __m128i *) a), htable, m)); +} + void crypton_aesni_init_pclmul(void) { crypton_gfmul_branch_ptr = gfmul_pclmuldq; + crypton_gfmul4_branch_ptr = gfmul4_pclmul; + crypton_gfmul8_branch_ptr = gfmul8_pclmul; } #else #define gfmul(a,t) (gfmul_generic(a,t)) +#define gfmul4(a,t,m) (gfmul4_generic(a,t,m)) +#define gfmul8(a,t,m) (gfmul8_generic(a,t,m)) #endif TARGET_AESNI @@ -271,6 +469,164 @@ return gfmul(tag, htable); } +TARGET_AESNI +static inline __m128i ghash_add4(__m128i tag, const table_4bit htable, const __m128i *m) +{ + return gfmul4(tag, htable, m); +} + +TARGET_AESNI +static inline __m128i ghash_add8(__m128i tag, const table_4bit htable, const __m128i *m) +{ + return gfmul8(tag, htable, m); +} + +/* + * Eight blocks through the rounds with the round keys read from memory rather + * than held in registers. + * + * There are sixteen vector registers. Eight blocks and eleven to fifteen + * round keys do not fit in them, and when the GCM loop preloaded the keys the + * compiler spilled: ninety-six stack accesses around a hundred AESENCs, which + * cost more than half the loop's throughput. AESENC takes a memory operand, + * and the round keys are in L1 from one group to the next, so reading them + * each round costs nothing and leaves the registers for the blocks. + */ +/* + * Eight blocks through the rounds with the round keys read from memory rather + * than held in registers. + * + * There are sixteen vector registers. Eight blocks and eleven to fifteen + * round keys do not fit in them, and when the GCM loop preloaded the keys the + * compiler spilled: ninety-six stack accesses around a hundred AESENCs. + * AESENC takes a memory operand and the round keys stay in L1 from one group + * to the next, so reading them costs nothing and leaves the registers for the + * blocks. + * + * The rounds are written out rather than looped: the loop cost a fifth of the + * throughput, which is what -funroll-loops was recovering. + */ +#define K_(r) _mm_loadu_si128(k_ + (r)) + +/* the rounds beyond the tenth, which only a longer key has */ +#define ROUNDS8_EXTRA_128 +#define ROUNDS8_EXTRA_192 AESENC8(K_(10)) AESENC8(K_(11)) +#define ROUNDS8_EXTRA_256 \ + AESENC8(K_(10)) AESENC8(K_(11)) AESENC8(K_(12)) AESENC8(K_(13)) + +#define DO_ENC_BLOCK8_MEM(m, k, nbr, EXTRA) \ + do { \ + const __m128i *k_ = (const __m128i *) (k); \ + XOR8(K_(0)) \ + AESENC8(K_(1)) AESENC8(K_(2)) AESENC8(K_(3)) \ + AESENC8(K_(4)) AESENC8(K_(5)) AESENC8(K_(6)) \ + AESENC8(K_(7)) AESENC8(K_(8)) AESENC8(K_(9)) \ + EXTRA \ + AESENCLAST8(K_(nbr)) \ + } while (0) + +#define DO_ENC_BLOCK_MEM(m, k, nbr) \ + do { \ + const __m128i *k_ = (const __m128i *) (k); \ + int r_; \ + m = _mm_xor_si128(m, K_(0)); \ + for (r_ = 1; r_ < (nbr); r_++) \ + m = _mm_aesenc_si128(m, K_(r_)); \ + m = _mm_aesenclast_si128(m, K_(nbr)); \ + } while (0) + +/* + * GCM's GHASH, called directly rather than through the branch pointer the + * other callers use: the pointer is a call the compiler cannot see through, + * and these want to be scheduled against the rounds around them. The cost is + * that the GCM loops are compiled with the instruction and so may only be + * installed where the processor has it, which crypton_aes.c sees to, as it + * already does for the AArch64 ones. + */ +#ifdef WITH_PCLMUL + +#define GCM_TARGET TARGET_AESNI_PCLMUL + +TARGET_AESNI_PCLMUL +static inline __m128i gcm_ghash_add(__m128i tag, const table_4bit htable, __m128i m) +{ + return gfmul_pclmuldq(_mm_xor_si128(tag, m), htable); +} + +TARGET_AESNI_PCLMUL +static inline __m128i gcm_ghash_add8(__m128i tag, const table_4bit htable, const __m128i *m) +{ + return gfmul8_pclmul(tag, htable, m); +} + +/* + * One block's carry-less multiply, accumulated rather than reduced, so that + * the eight of a group can be spread between the rounds of the next group's + * AES. + */ +TARGET_AESNI_PCLMUL +static inline void ghash_fold(__m128i *lo, __m128i *hi, __m128i b, + const table_4bit htable, int i) +{ + __m128i l, h; + + clmul_pclmuldq(b, _mm_loadu_si128((const __m128i *) &htable[i]), &l, &h); + *lo = _mm_xor_si128(*lo, l); + *hi = _mm_xor_si128(*hi, h); +} + +#else + +#define GCM_TARGET TARGET_AESNI +#define gcm_ghash_add(t, h, m) ghash_add((t), (h), (m)) +#define gcm_ghash_add8(t, h, m) ghash_add8((t), (h), (m)) + +#endif + +/* + * A group of eight encrypted, with the previous group's GHASH folded in + * between the rounds where the build has the carry-less multiply: GH(j) after + * round j + 1, and the reduction after round nine, which every key size + * reaches. The names are the ones the GCM loops use. + */ +#ifdef WITH_PCLMUL + +#define GCM_GH(j) \ + ghash_fold(&glo_, &ghi_, \ + (j) == 0 ? _mm_xor_si128(tag, pending[0]) : pending[j], \ + gcm->htable, 7 - (j)); + +#define GCM_GHRED tag = gfred_pclmuldq(glo_, ghi_); + +#define GCM_GROUP8(m, k, nbr, EXTRA) \ + do { \ + const __m128i *k_ = (const __m128i *) (k); \ + __m128i glo_ = _mm_setzero_si128(); \ + __m128i ghi_ = _mm_setzero_si128(); \ + XOR8(K_(0)) \ + AESENC8(K_(1)) GCM_GH(0) \ + AESENC8(K_(2)) GCM_GH(1) \ + AESENC8(K_(3)) GCM_GH(2) \ + AESENC8(K_(4)) GCM_GH(3) \ + AESENC8(K_(5)) GCM_GH(4) \ + AESENC8(K_(6)) GCM_GH(5) \ + AESENC8(K_(7)) GCM_GH(6) \ + AESENC8(K_(8)) GCM_GH(7) \ + AESENC8(K_(9)) GCM_GHRED \ + EXTRA \ + AESENCLAST8(K_(nbr)) \ + } while (0) + +#else + +#define GCM_GROUP8(m, k, nbr, EXTRA) \ + do { \ + DO_ENC_BLOCK8_MEM(m, k, nbr, EXTRA); \ + tag = ghash_add8(tag, gcm->htable, pending); \ + } while (0) + +#endif + #define PRELOAD_ENC_KEYS128(k) \ __m128i K0 = _mm_loadu_si128(((__m128i *) k)+0); \ __m128i K1 = _mm_loadu_si128(((__m128i *) k)+1); \ @@ -284,6 +640,11 @@ __m128i K9 = _mm_loadu_si128(((__m128i *) k)+9); \ __m128i K10 = _mm_loadu_si128(((__m128i *) k)+10); +#define PRELOAD_ENC_KEYS192(k) \ + PRELOAD_ENC_KEYS128(k) \ + __m128i K11 = _mm_loadu_si128(((__m128i *) k)+11); \ + __m128i K12 = _mm_loadu_si128(((__m128i *) k)+12); + #define PRELOAD_ENC_KEYS256(k) \ PRELOAD_ENC_KEYS128(k) \ __m128i K11 = _mm_loadu_si128(((__m128i *) k)+11); \ @@ -304,6 +665,21 @@ m = _mm_aesenc_si128(m, K9); \ m = _mm_aesenclast_si128(m, K10); +#define DO_ENC_BLOCK192(m) \ + m = _mm_xor_si128(m, K0); \ + m = _mm_aesenc_si128(m, K1); \ + m = _mm_aesenc_si128(m, K2); \ + m = _mm_aesenc_si128(m, K3); \ + m = _mm_aesenc_si128(m, K4); \ + m = _mm_aesenc_si128(m, K5); \ + m = _mm_aesenc_si128(m, K6); \ + m = _mm_aesenc_si128(m, K7); \ + m = _mm_aesenc_si128(m, K8); \ + m = _mm_aesenc_si128(m, K9); \ + m = _mm_aesenc_si128(m, K10); \ + m = _mm_aesenc_si128(m, K11); \ + m = _mm_aesenclast_si128(m, K12); + #define DO_ENC_BLOCK256(m) \ m = _mm_xor_si128(m, K0); \ m = _mm_aesenc_si128(m, K1); \ @@ -334,10 +710,55 @@ __m128i K8 = _mm_loadu_si128(((__m128i *) k)+at+8); \ __m128i K9 = _mm_loadu_si128(((__m128i *) k)+at+9); \ +/* + * Eight blocks through the rounds together, which is what covers the + * latency of AESENC. Written out one line per block rather than left to a + * loop over m[i]: a loop is only as good as the compiler's willingness to + * unroll it, and when it declines the blocks go to the stack and each + * round becomes a load and a store. + */ +#define XOR8(KK) \ + m[0] = _mm_xor_si128(m[0], KK); m[1] = _mm_xor_si128(m[1], KK); \ + m[2] = _mm_xor_si128(m[2], KK); m[3] = _mm_xor_si128(m[3], KK); \ + m[4] = _mm_xor_si128(m[4], KK); m[5] = _mm_xor_si128(m[5], KK); \ + m[6] = _mm_xor_si128(m[6], KK); m[7] = _mm_xor_si128(m[7], KK); + +#define AESENC8(KK) \ + m[0] = _mm_aesenc_si128(m[0], KK); m[1] = _mm_aesenc_si128(m[1], KK); \ + m[2] = _mm_aesenc_si128(m[2], KK); m[3] = _mm_aesenc_si128(m[3], KK); \ + m[4] = _mm_aesenc_si128(m[4], KK); m[5] = _mm_aesenc_si128(m[5], KK); \ + m[6] = _mm_aesenc_si128(m[6], KK); m[7] = _mm_aesenc_si128(m[7], KK); + +#define AESENCLAST8(KK) \ + m[0] = _mm_aesenclast_si128(m[0], KK); m[1] = _mm_aesenclast_si128(m[1], KK); \ + m[2] = _mm_aesenclast_si128(m[2], KK); m[3] = _mm_aesenclast_si128(m[3], KK); \ + m[4] = _mm_aesenclast_si128(m[4], KK); m[5] = _mm_aesenclast_si128(m[5], KK); \ + m[6] = _mm_aesenclast_si128(m[6], KK); m[7] = _mm_aesenclast_si128(m[7], KK); + +#define DO_ENC_BLOCK8_128(m) \ + XOR8(K0) AESENC8(K1) AESENC8(K2) AESENC8(K3) AESENC8(K4) AESENC8(K5) \ + AESENC8(K6) AESENC8(K7) AESENC8(K8) AESENC8(K9) AESENCLAST8(K10) + +#define DO_ENC_BLOCK8_192(m) \ + XOR8(K0) AESENC8(K1) AESENC8(K2) AESENC8(K3) AESENC8(K4) AESENC8(K5) \ + AESENC8(K6) AESENC8(K7) AESENC8(K8) AESENC8(K9) AESENC8(K10) \ + AESENC8(K11) AESENCLAST8(K12) + +#define DO_ENC_BLOCK8_256(m) \ + XOR8(K0) AESENC8(K1) AESENC8(K2) AESENC8(K3) AESENC8(K4) AESENC8(K5) \ + AESENC8(K6) AESENC8(K7) AESENC8(K8) AESENC8(K9) AESENC8(K10) \ + AESENC8(K11) AESENC8(K12) AESENC8(K13) AESENCLAST8(K14) + #define PRELOAD_DEC_KEYS128(k) \ PRELOAD_DEC_KEYS_AT(k, 10) \ __m128i K10 = _mm_loadu_si128(((__m128i *) k)+0); +#define PRELOAD_DEC_KEYS192(k) \ + PRELOAD_DEC_KEYS_AT(k, 12) \ + __m128i K10 = _mm_loadu_si128(((__m128i *) k)+12+10); \ + __m128i K11 = _mm_loadu_si128(((__m128i *) k)+12+11); \ + __m128i K12 = _mm_loadu_si128(((__m128i *) k)+0); + #define PRELOAD_DEC_KEYS256(k) \ PRELOAD_DEC_KEYS_AT(k, 14) \ __m128i K10 = _mm_loadu_si128(((__m128i *) k)+14+10); \ @@ -346,6 +767,76 @@ __m128i K13 = _mm_loadu_si128(((__m128i *) k)+14+13); \ __m128i K14 = _mm_loadu_si128(((__m128i *) k)+0); +#define AESDEC8(KK) \ + m[0] = _mm_aesdec_si128(m[0], KK); m[1] = _mm_aesdec_si128(m[1], KK); \ + m[2] = _mm_aesdec_si128(m[2], KK); m[3] = _mm_aesdec_si128(m[3], KK); \ + m[4] = _mm_aesdec_si128(m[4], KK); m[5] = _mm_aesdec_si128(m[5], KK); \ + m[6] = _mm_aesdec_si128(m[6], KK); m[7] = _mm_aesdec_si128(m[7], KK); + +#define AESDECLAST8(KK) \ + m[0] = _mm_aesdeclast_si128(m[0], KK); m[1] = _mm_aesdeclast_si128(m[1], KK); \ + m[2] = _mm_aesdeclast_si128(m[2], KK); m[3] = _mm_aesdeclast_si128(m[3], KK); \ + m[4] = _mm_aesdeclast_si128(m[4], KK); m[5] = _mm_aesdeclast_si128(m[5], KK); \ + m[6] = _mm_aesdeclast_si128(m[6], KK); m[7] = _mm_aesdeclast_si128(m[7], KK); + +#define DO_DEC_BLOCK8_128(m) \ + XOR8(K0) AESDEC8(K1) AESDEC8(K2) AESDEC8(K3) AESDEC8(K4) AESDEC8(K5) \ + AESDEC8(K6) AESDEC8(K7) AESDEC8(K8) AESDEC8(K9) AESDECLAST8(K10) + +#define DO_DEC_BLOCK8_192(m) \ + XOR8(K0) AESDEC8(K1) AESDEC8(K2) AESDEC8(K3) AESDEC8(K4) AESDEC8(K5) \ + AESDEC8(K6) AESDEC8(K7) AESDEC8(K8) AESDEC8(K9) AESDEC8(K10) \ + AESDEC8(K11) AESDECLAST8(K12) + +#define DO_DEC_BLOCK8_256(m) \ + XOR8(K0) AESDEC8(K1) AESDEC8(K2) AESDEC8(K3) AESDEC8(K4) AESDEC8(K5) \ + AESDEC8(K6) AESDEC8(K7) AESDEC8(K8) AESDEC8(K9) AESDEC8(K10) \ + AESDEC8(K11) AESDEC8(K12) AESDEC8(K13) AESDECLAST8(K14) + +/* + * The XTS tweak advances by doubling in GF(2^128). gfmulx above does that + * through memory; this keeps it in a register, which matters once eight + * tweaks are wanted per group. The block is little-endian, so the low + * 64-bit half is first. + */ +TARGET_AESNI +static inline __m128i gfmulx_sse(__m128i v) +{ + const __m128i poly = _mm_set_epi64x(0, 0x87); + const __m128i carry = _mm_srli_epi64(v, 63); + /* the low half's carry becomes the high half's bit 0 */ + const __m128i into_hi = _mm_slli_si128(carry, 8); + /* and the high half's becomes all ones, or nothing, in the low half */ + const __m128i out = _mm_sub_epi64(_mm_setzero_si128(), _mm_srli_si128(carry, 8)); + + return _mm_xor_si128(_mm_or_si128(_mm_slli_epi64(v, 1), into_hi), + _mm_and_si128(out, poly)); +} + +/* + * The tweak doubles in a pair of general-purpose registers and is moved + * into a vector one per block. The doubling is three integer operations, + * and the integer units have nothing else to do here, where there are only + * sixteen vector registers and the rounds want as many of them as they can + * get: done in vector registers, which is what this did, the eight + * doublings of a group both lengthen the critical path and push the round + * keys out to memory. + */ +#define XTS_TWEAK_STEP(lo, hi) do { \ + const uint64_t _c = (hi) >> 63; \ + (hi) = ((hi) << 1) | ((lo) >> 63); \ + (lo) = ((lo) << 1) ^ (_c ? 0x87 : 0); \ +} while (0) + +/* the eight tweaks a group needs, from the one it starts at */ +#define XTS_TWEAKS8(dst, lo, hi) do { \ + int _i; \ + for (_i = 0; _i < 8; _i++) { \ + (dst)[_i] = _mm_set_epi64x((long long) (hi), (long long) (lo)); \ + XTS_TWEAK_STEP(lo, hi); \ + } \ +} while (0) + #define DO_DEC_BLOCK128(m) \ m = _mm_xor_si128(m, K0); \ m = _mm_aesdec_si128(m, K1); \ @@ -359,6 +850,21 @@ m = _mm_aesdec_si128(m, K9); \ m = _mm_aesdeclast_si128(m, K10); +#define DO_DEC_BLOCK192(m) \ + m = _mm_xor_si128(m, K0); \ + m = _mm_aesdec_si128(m, K1); \ + m = _mm_aesdec_si128(m, K2); \ + m = _mm_aesdec_si128(m, K3); \ + m = _mm_aesdec_si128(m, K4); \ + m = _mm_aesdec_si128(m, K5); \ + m = _mm_aesdec_si128(m, K6); \ + m = _mm_aesdec_si128(m, K7); \ + m = _mm_aesdec_si128(m, K8); \ + m = _mm_aesdec_si128(m, K9); \ + m = _mm_aesdec_si128(m, K10); \ + m = _mm_aesdec_si128(m, K11); \ + m = _mm_aesdeclast_si128(m, K12); + #define DO_DEC_BLOCK256(m) \ m = _mm_xor_si128(m, K0); \ m = _mm_aesdec_si128(m, K1); \ @@ -377,34 +883,73 @@ m = _mm_aesdeclast_si128(m, K14); #define SIZE 128 +#define NBR 10 +#define ROUNDS8_EXTRA ROUNDS8_EXTRA_128 #define SIZED(m) m##128 #define PRELOAD_ENC PRELOAD_ENC_KEYS128 #define DO_ENC_BLOCK DO_ENC_BLOCK128 +#define DO_ENC_BLOCK8 DO_ENC_BLOCK8_128 #define PRELOAD_DEC PRELOAD_DEC_KEYS128 #define DO_DEC_BLOCK DO_DEC_BLOCK128 +#define DO_DEC_BLOCK8 DO_DEC_BLOCK8_128 #include #undef SIZE +#undef NBR +#undef ROUNDS8_EXTRA #undef SIZED #undef PRELOAD_ENC #undef PRELOAD_DEC #undef DO_ENC_BLOCK +#undef DO_ENC_BLOCK8 #undef DO_DEC_BLOCK +#undef DO_DEC_BLOCK8 +#define SIZED(m) m##192 +#define SIZE 192 +#define NBR 12 +#define ROUNDS8_EXTRA ROUNDS8_EXTRA_192 +#define PRELOAD_ENC PRELOAD_ENC_KEYS192 +#define DO_ENC_BLOCK DO_ENC_BLOCK192 +#define DO_ENC_BLOCK8 DO_ENC_BLOCK8_192 +#define PRELOAD_DEC PRELOAD_DEC_KEYS192 +#define DO_DEC_BLOCK DO_DEC_BLOCK192 +#define DO_DEC_BLOCK8 DO_DEC_BLOCK8_192 +#include + +#undef SIZE +#undef NBR +#undef ROUNDS8_EXTRA +#undef SIZED +#undef PRELOAD_ENC +#undef PRELOAD_DEC +#undef DO_ENC_BLOCK +#undef DO_ENC_BLOCK8 +#undef DO_DEC_BLOCK +#undef DO_DEC_BLOCK8 + #define SIZED(m) m##256 #define SIZE 256 +#define NBR 14 +#define ROUNDS8_EXTRA ROUNDS8_EXTRA_256 #define PRELOAD_ENC PRELOAD_ENC_KEYS256 #define DO_ENC_BLOCK DO_ENC_BLOCK256 +#define DO_ENC_BLOCK8 DO_ENC_BLOCK8_256 #define PRELOAD_DEC PRELOAD_DEC_KEYS256 #define DO_DEC_BLOCK DO_DEC_BLOCK256 +#define DO_DEC_BLOCK8 DO_DEC_BLOCK8_256 #include #undef SIZE +#undef NBR +#undef ROUNDS8_EXTRA #undef SIZED #undef PRELOAD_ENC #undef PRELOAD_DEC #undef DO_ENC_BLOCK +#undef DO_ENC_BLOCK8 #undef DO_DEC_BLOCK +#undef DO_DEC_BLOCK8 #endif diff --git a/cbits/aes/x86ni.h b/cbits/aes/x86ni.h --- a/cbits/aes/x86ni.h +++ b/cbits/aes/x86ni.h @@ -59,34 +59,30 @@ #endif void crypton_aesni_init(aes_key *key, uint8_t *origkey, uint8_t size); -void crypton_aesni_encrypt_block128(aes_block *out, aes_key *key, aes_block *in); -void crypton_aesni_encrypt_block256(aes_block *out, aes_key *key, aes_block *in); -void crypton_aesni_decrypt_block128(aes_block *out, aes_key *key, aes_block *in); -void crypton_aesni_decrypt_block256(aes_block *out, aes_key *key, aes_block *in); -void crypton_aesni_encrypt_ecb128(aes_block *out, aes_key *key, aes_block *in, uint32_t blocks); -void crypton_aesni_encrypt_ecb256(aes_block *out, aes_key *key, aes_block *in, uint32_t blocks); -void crypton_aesni_decrypt_ecb128(aes_block *out, aes_key *key, aes_block *in, uint32_t blocks); -void crypton_aesni_decrypt_ecb256(aes_block *out, aes_key *key, aes_block *in, uint32_t blocks); -void crypton_aesni_encrypt_cbc128(aes_block *out, aes_key *key, aes_block *_iv, aes_block *in, uint32_t blocks); -void crypton_aesni_encrypt_cbc256(aes_block *out, aes_key *key, aes_block *_iv, aes_block *in, uint32_t blocks); -void crypton_aesni_decrypt_cbc128(aes_block *out, aes_key *key, aes_block *_iv, aes_block *in, uint32_t blocks); -void crypton_aesni_decrypt_cbc256(aes_block *out, aes_key *key, aes_block *_iv, aes_block *in, uint32_t blocks); -void crypton_aesni_encrypt_ctr128(uint8_t *out, aes_key *key, aes_block *_iv, uint8_t *in, uint32_t length); -void crypton_aesni_encrypt_ctr256(uint8_t *out, aes_key *key, aes_block *_iv, uint8_t *in, uint32_t length); -void crypton_aesni_encrypt_c32_128(uint8_t *out, aes_key *key, aes_block *_iv, uint8_t *in, uint32_t length); -void crypton_aesni_encrypt_c32_256(uint8_t *out, aes_key *key, aes_block *_iv, uint8_t *in, uint32_t length); -void crypton_aesni_encrypt_xts128(aes_block *out, aes_key *key1, aes_key *key2, - aes_block *_tweak, uint32_t spoint, aes_block *in, uint32_t blocks); -void crypton_aesni_encrypt_xts256(aes_block *out, aes_key *key1, aes_key *key2, - aes_block *_tweak, uint32_t spoint, aes_block *in, uint32_t blocks); - -void crypton_aesni_gcm_encrypt128(uint8_t *out, aes_gcm *gcm, aes_key *key, uint8_t *in, uint32_t length); -void crypton_aesni_gcm_encrypt256(uint8_t *out, aes_gcm *gcm, aes_key *key, uint8_t *in, uint32_t length); +#define AESNI_DECLS(sz) \ + void crypton_aesni_encrypt_block##sz(aes_block *out, aes_key *key, aes_block *in); \ + void crypton_aesni_decrypt_block##sz(aes_block *out, aes_key *key, aes_block *in); \ + void crypton_aesni_encrypt_ecb##sz(aes_block *out, aes_key *key, aes_block *in, uint32_t blocks); \ + void crypton_aesni_decrypt_ecb##sz(aes_block *out, aes_key *key, aes_block *in, uint32_t blocks); \ + void crypton_aesni_encrypt_cbc##sz(aes_block *out, aes_key *key, aes_block *_iv, aes_block *in, uint32_t blocks); \ + void crypton_aesni_decrypt_cbc##sz(aes_block *out, aes_key *key, aes_block *_iv, aes_block *in, uint32_t blocks); \ + void crypton_aesni_encrypt_ctr##sz(uint8_t *out, aes_key *key, aes_block *_iv, uint8_t *in, uint32_t length); \ + void crypton_aesni_encrypt_c32_##sz(uint8_t *out, aes_key *key, aes_block *_iv, uint8_t *in, uint32_t length); \ + void crypton_aesni_encrypt_xts##sz(aes_block *out, aes_key *key1, aes_key *key2, \ + aes_block *_tweak, uint32_t spoint, aes_block *in, uint32_t blocks); \ + void crypton_aesni_decrypt_xts##sz(aes_block *out, aes_key *key1, aes_key *key2, \ + aes_block *_tweak, uint32_t spoint, aes_block *in, uint32_t blocks); \ + void crypton_aesni_gcm_encrypt##sz(uint8_t *out, aes_gcm *gcm, aes_key *key, uint8_t *in, uint32_t length); \ + void crypton_aesni_gcm_decrypt##sz(uint8_t *out, aes_gcm *gcm, aes_key *key, uint8_t *in, uint32_t length); +AESNI_DECLS(128) +AESNI_DECLS(192) +AESNI_DECLS(256) #ifdef WITH_PCLMUL void crypton_aesni_init_pclmul(void); void crypton_aesni_hinit_pclmul(table_4bit htable, const block128 *h); void crypton_aesni_gf_mul_pclmul(block128 *a, const table_4bit htable); +void crypton_aesni_gf_mul4_pclmul(block128 *a, const block128 *blocks, const table_4bit htable); #endif #endif diff --git a/cbits/aes/x86ni_impl.c b/cbits/aes/x86ni_impl.c --- a/cbits/aes/x86ni_impl.c +++ b/cbits/aes/x86ni_impl.c @@ -204,34 +204,124 @@ void SIZED(crypton_aesni_encrypt_xts)(aes_block *out, aes_key *key1, aes_key *key2, aes_block *_tweak, uint32_t spoint, aes_block *in, uint32_t blocks) { - __m128i tweak = _mm_loadu_si128((__m128i *) _tweak); + uint64_t tlo, thi; do { __m128i *k2 = (__m128i *) key2->data; + __m128i tweak = _mm_loadu_si128((__m128i *) _tweak); + aes_block first ALIGNMENT(16); + PRELOAD_ENC(k2); DO_ENC_BLOCK(tweak); + _mm_storeu_si128((__m128i *) &first, tweak); + tlo = first.q[0]; + thi = first.q[1]; while (spoint-- > 0) - tweak = gfmulx(tweak); + XTS_TWEAK_STEP(tlo, thi); } while (0) ; do { __m128i *k1 = (__m128i *) key1->data; - PRELOAD_ENC(k1); - for ( ; blocks-- > 0; in += 1, out += 1, tweak = gfmulx(tweak)) { + /* + * Eight at a time. The eight tweaks are kept from one group + * to the next and each is advanced by eight doublings at + * once, which is a single multiplication and does not wait + * for the other seven; doubling along the group instead, + * which is what this did, puts a chain of eight in front of + * every set of rounds, and on a processor whose AES is fast + * that chain is most of the block. + */ + for ( ; blocks >= 8; blocks -= 8, in += 8, out += 8) { + __m128i m[8], t[8]; + int i; + + XTS_TWEAKS8(t, tlo, thi); + for (i = 0; i < 8; i++) + m[i] = _mm_xor_si128( + _mm_loadu_si128((__m128i *) (in + i)), t[i]); + DO_ENC_BLOCK8_MEM(m, k1, NBR, ROUNDS8_EXTRA); + for (i = 0; i < 8; i++) + _mm_storeu_si128((__m128i *) (out + i), + _mm_xor_si128(m[i], t[i])); + } + for ( ; blocks-- > 0; in += 1, out += 1) { + const __m128i tweak = + _mm_set_epi64x((long long) thi, (long long) tlo); __m128i m = _mm_loadu_si128((__m128i *) in); m = _mm_xor_si128(m, tweak); - DO_ENC_BLOCK(m); + DO_ENC_BLOCK_MEM(m, k1, NBR); m = _mm_xor_si128(m, tweak); _mm_storeu_si128((__m128i *) out, m); + XTS_TWEAK_STEP(tlo, thi); } } while (0); } +/* + * XTS the other way, which until now fell to the generic loop -- and which + * nothing reached at all, since crypton_aes_decrypt_xts called the generic + * function directly rather than through the branch table. The tweak is + * enciphered whichever way the data goes; only the data is deciphered. + */ TARGET_AESNI +void SIZED(crypton_aesni_decrypt_xts)(aes_block *out, aes_key *key1, aes_key *key2, + aes_block *_tweak, uint32_t spoint, aes_block *in, uint32_t blocks) +{ + uint64_t tlo, thi; + + do { + __m128i *k2 = (__m128i *) key2->data; + __m128i tweak = _mm_loadu_si128((__m128i *) _tweak); + aes_block first ALIGNMENT(16); + + PRELOAD_ENC(k2); + DO_ENC_BLOCK(tweak); + _mm_storeu_si128((__m128i *) &first, tweak); + tlo = first.q[0]; + thi = first.q[1]; + + while (spoint-- > 0) + XTS_TWEAK_STEP(tlo, thi); + } while (0) ; + + do { + __m128i *k1 = (__m128i *) key1->data; + PRELOAD_DEC(k1); + + /* the tweaks kept and advanced, as encryption has them */ + for ( ; blocks >= 8; blocks -= 8, in += 8, out += 8) { + __m128i m[8], t[8]; + int i; + + XTS_TWEAKS8(t, tlo, thi); + for (i = 0; i < 8; i++) + m[i] = _mm_xor_si128( + _mm_loadu_si128((__m128i *) (in + i)), t[i]); + DO_DEC_BLOCK8(m); + for (i = 0; i < 8; i++) + _mm_storeu_si128((__m128i *) (out + i), + _mm_xor_si128(m[i], t[i])); + } + for ( ; blocks-- > 0; in += 1, out += 1) { + const __m128i tweak = + _mm_set_epi64x((long long) thi, (long long) tlo); + __m128i m = _mm_loadu_si128((__m128i *) in); + + m = _mm_xor_si128(m, tweak); + DO_DEC_BLOCK(m); + m = _mm_xor_si128(m, tweak); + + _mm_storeu_si128((__m128i *) out, m); + XTS_TWEAK_STEP(tlo, thi); + } + } while (0); +} + +GCM_TARGET void SIZED(crypton_aesni_gcm_encrypt)(uint8_t *output, aes_gcm *gcm, aes_key *key, uint8_t *input, uint32_t length) { __m128i *k = (__m128i *) key->data; @@ -239,15 +329,107 @@ __m128i one = _mm_set_epi32(0,1,0,0); uint32_t nb_blocks = length / 16; uint32_t part_block_len = length % 16; + /* the group of ciphertext whose GHASH has not been taken yet */ + __m128i pending[8]; + int held = 0; gcm->length_input += length; +#ifdef WITH_GCM_VAES512 + /* + * The widest form the processor has, first: four blocks to an + * instruction where the 256-bit one below takes two and the assembly + * after that takes one. Same contract throughout -- whole groups off + * the front, the counter and the tag left behind. + */ + if (nb_blocks >= GCM_VAES512_MIN_BLOCKS + && (crypton_x86_simd_features() & CRYPTON_X86_VAES512)) { + uint32_t done = crypton_gcm_vaes512_bulk_encrypt( + output, gcm, key, input, nb_blocks * 16); + + output += done; + input += done; + nb_blocks -= done / 16; + } +#endif +#ifdef WITH_GCM_VAES + /* + * The 256-bit instructions next: they take two blocks where the ones + * below take one, and the assembly that follows is 128-bit + * throughout. + */ + if (nb_blocks >= GCM_VAES_MIN_BLOCKS + && (crypton_x86_simd_features() & CRYPTON_X86_VAES)) { + uint32_t done = crypton_gcm_vaes_bulk_encrypt(output, gcm, key, + input, + nb_blocks * 16); + + output += done; + input += done; + nb_blocks -= done / 16; + } +#endif +#if defined(WITH_X86_GCM_ASM) && defined(WITH_PCLMUL) + /* + * The stitched assembly next, which takes whole groups of six + * blocks off the front of the message and leaves the counter and the + * running tag where the loop below expects to find them. It wants + * eighteen blocks before it will start, and answers with what it did. + */ + if (nb_blocks >= GCM_ASM_MIN_BLOCKS_ENC) { + uint32_t done = crypton_gcm_asm_bulk_encrypt(output, gcm, key, + input, nb_blocks * 16); + + output += done; + input += done; + nb_blocks -= done / 16; + } +#endif + __m128i tag = _mm_loadu_si128((__m128i *) &gcm->tag); __m128i iv = _mm_loadu_si128((__m128i *) &gcm->civ); iv = _mm_shuffle_epi8(iv, bswap_mask); - PRELOAD_ENC(k); + /* + * Eight blocks at a time: the counters go through the rounds together + * so the pipeline has something to do while AESENC is in flight, and + * their GHASH folds into one reduction against H^8 .. H^1 rather than + * eight. + * + * The GHASH is of the group before, not this one. Taken in step the + * two halves cannot overlap at all: the multiply of a block waits for + * the rounds that produced it, and on this processor they do not even + * want the same port -- AESENC and PCLMULQDQ issue to different ones, + * so held a group apart they run through each other. It costs one + * group's worth of ciphertext kept aside and a last GHASH after the + * loop. + */ + for (; nb_blocks >= 8; nb_blocks -= 8, output += 128, input += 128) { + __m128i m[8]; + int i; + + for (i = 0; i < 8; i++) { + /* iv += 1, put back in big endian */ + iv = _mm_add_epi32(iv, one); + m[i] = _mm_shuffle_epi8(iv, bswap_mask); + } + if (held) + GCM_GROUP8(m, k, NBR, ROUNDS8_EXTRA); + else + DO_ENC_BLOCK8_MEM(m, k, NBR, ROUNDS8_EXTRA); + + for (i = 0; i < 8; i++) { + m[i] = _mm_xor_si128(m[i], + _mm_loadu_si128((__m128i *) (input + 16 * i))); + _mm_storeu_si128((__m128i *) (output + 16 * i), m[i]); + } + for (i = 0; i < 8; i++) + pending[i] = m[i]; + held = 1; + } + if (held) + tag = gcm_ghash_add8(tag, gcm->htable, pending); for (; nb_blocks-- > 0; output += 16, input += 16) { /* iv += 1 */ iv = _mm_add_epi32(iv, one); @@ -255,11 +437,11 @@ /* put back iv in big endian, encrypt it, * and xor it to input */ __m128i tmp = _mm_shuffle_epi8(iv, bswap_mask); - DO_ENC_BLOCK(tmp); + DO_ENC_BLOCK_MEM(tmp, k, NBR); __m128i m = _mm_loadu_si128((__m128i *) input); m = _mm_xor_si128(m, tmp); - tag = ghash_add(tag, gcm->htable, m); + tag = gcm_ghash_add(tag, gcm->htable, m); /* store it out */ _mm_storeu_si128((__m128i *) output, m); @@ -294,16 +476,145 @@ /* put back iv in big endian mode, encrypt it and xor it with input */ __m128i tmp = _mm_shuffle_epi8(iv, bswap_mask); - DO_ENC_BLOCK(tmp); + DO_ENC_BLOCK_MEM(tmp, k, NBR); __m128i m = _mm_loadu_si128((__m128i *) &block); m = _mm_xor_si128(m, tmp); m = _mm_shuffle_epi8(m, mask); - tag = ghash_add(tag, gcm->htable, m); + tag = gcm_ghash_add(tag, gcm->htable, m); /* make output */ _mm_storeu_si128((__m128i *) &block.b, m); + memcpy(output, &block.b, part_block_len); + } + /* store back IV & tag */ + __m128i tmp = _mm_shuffle_epi8(iv, bswap_mask); + _mm_storeu_si128((__m128i *) &gcm->civ, tmp); + _mm_storeu_si128((__m128i *) &gcm->tag, tag); +} + +/* + * GCM decryption, which until now fell to the generic loop: that advances + * the counter and calls the block function once per block through the + * branch table, and measured a quarter the speed of encryption on the same + * machine. The shape is the encryption loop with two differences -- the + * tag is taken over the ciphertext, which is the input rather than the + * output, and the ciphertext is read before anything is written, since + * output may be input. + */ +GCM_TARGET +void SIZED(crypton_aesni_gcm_decrypt)(uint8_t *output, aes_gcm *gcm, aes_key *key, uint8_t *input, uint32_t length) +{ + __m128i *k = (__m128i *) key->data; + __m128i bswap_mask = _mm_setr_epi8(7,6,5,4,3,2,1,0,15,14,13,12,11,10,9,8); + __m128i one = _mm_set_epi32(0,1,0,0); + uint32_t nb_blocks = length / 16; + uint32_t part_block_len = length % 16; + /* the group of ciphertext whose GHASH has not been taken yet */ + __m128i pending[8]; + int held = 0; + + gcm->length_input += length; + +#ifdef WITH_GCM_VAES512 + /* as in encryption; the tag is taken over the input here */ + if (nb_blocks >= GCM_VAES512_MIN_BLOCKS + && (crypton_x86_simd_features() & CRYPTON_X86_VAES512)) { + uint32_t done = crypton_gcm_vaes512_bulk_decrypt( + output, gcm, key, input, nb_blocks * 16); + + output += done; + input += done; + nb_blocks -= done / 16; + } +#endif +#ifdef WITH_GCM_VAES + /* as in encryption; the tag is taken over the input here */ + if (nb_blocks >= GCM_VAES_MIN_BLOCKS + && (crypton_x86_simd_features() & CRYPTON_X86_VAES)) { + uint32_t done = crypton_gcm_vaes_bulk_decrypt(output, gcm, key, + input, + nb_blocks * 16); + + output += done; + input += done; + nb_blocks -= done / 16; + } +#endif +#if defined(WITH_X86_GCM_ASM) && defined(WITH_PCLMUL) + /* the same as encryption, except that decryption has nothing to + * hold back and so will start on six blocks */ + if (nb_blocks >= GCM_ASM_MIN_BLOCKS_DEC) { + uint32_t done = crypton_gcm_asm_bulk_decrypt(output, gcm, key, + input, nb_blocks * 16); + + output += done; + input += done; + nb_blocks -= done / 16; + } +#endif + + __m128i tag = _mm_loadu_si128((__m128i *) &gcm->tag); + __m128i iv = _mm_loadu_si128((__m128i *) &gcm->civ); + iv = _mm_shuffle_epi8(iv, bswap_mask); + + + /* the group before's GHASH, alongside this group's rounds, as + * encryption does it */ + for (; nb_blocks >= 8; nb_blocks -= 8, output += 128, input += 128) { + __m128i m[8], c[8]; + int i; + + for (i = 0; i < 8; i++) { + /* iv += 1, put back in big endian */ + iv = _mm_add_epi32(iv, one); + m[i] = _mm_shuffle_epi8(iv, bswap_mask); + } + for (i = 0; i < 8; i++) + c[i] = _mm_loadu_si128((__m128i *) (input + 16 * i)); + if (held) + GCM_GROUP8(m, k, NBR, ROUNDS8_EXTRA); + else + DO_ENC_BLOCK8_MEM(m, k, NBR, ROUNDS8_EXTRA); + + for (i = 0; i < 8; i++) + _mm_storeu_si128((__m128i *) (output + 16 * i), + _mm_xor_si128(m[i], c[i])); + for (i = 0; i < 8; i++) + pending[i] = c[i]; + held = 1; + } + if (held) + tag = gcm_ghash_add8(tag, gcm->htable, pending); + for (; nb_blocks-- > 0; output += 16, input += 16) { + __m128i c = _mm_loadu_si128((__m128i *) input); + + iv = _mm_add_epi32(iv, one); + __m128i tmp = _mm_shuffle_epi8(iv, bswap_mask); + DO_ENC_BLOCK_MEM(tmp, k, NBR); + + tag = gcm_ghash_add(tag, gcm->htable, c); + _mm_storeu_si128((__m128i *) output, _mm_xor_si128(tmp, c)); + } + if (part_block_len > 0) { + aes_block block; + + /* the ciphertext padded with zeros is what the tag is taken + * over, so no mask is needed the way encryption needs one */ + block128_zero(&block); + block128_copy_bytes(&block, input, part_block_len); + __m128i c = _mm_loadu_si128((__m128i *) &block); + + /* iv += 1 */ + iv = _mm_add_epi32(iv, one); + + __m128i tmp = _mm_shuffle_epi8(iv, bswap_mask); + DO_ENC_BLOCK_MEM(tmp, k, NBR); + + tag = gcm_ghash_add(tag, gcm->htable, c); + + _mm_storeu_si128((__m128i *) &block.b, _mm_xor_si128(tmp, c)); memcpy(output, &block.b, part_block_len); } /* store back IV & tag */ diff --git a/cbits/asm/LICENSE.cryptogams b/cbits/asm/LICENSE.cryptogams new file mode 100644 --- /dev/null +++ b/cbits/asm/LICENSE.cryptogams @@ -0,0 +1,36 @@ +Copyright (c) 2006, CRYPTOGAMS by +All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions +are met: + + * Redistributions of source code must retain copyright notices, + this list of conditions and the following disclaimer. + + * Redistributions in binary form must reproduce the above + copyright notice, this list of conditions and the following + disclaimer in the documentation and/or other materials + provided with the distribution. + + * Neither the name of the CRYPTOGAMS nor the names of its + copyright holder and contributors may be used to endorse or + promote products derived from this software without specific + prior written permission. + +ALTERNATIVELY, provided that this notice is retained in full, this +product may be distributed under the terms of the GNU General Public +License (GPL), in which case the provisions of the GPL apply INSTEAD OF +those given above. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDER AND CONTRIBUTORS +"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR +A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT +OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT +LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, +DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY +THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/cbits/asm/README.md b/cbits/asm/README.md new file mode 100644 --- /dev/null +++ b/cbits/asm/README.md @@ -0,0 +1,171 @@ +# Vendored assembly + +## What is here + +Two modules from [CRYPTOGAMS](https://github.com/dot-asm/cryptogams), by Andy +Polyakov, checked in unmodified together with the translators they need: + +| generator | what it is | +| --- | --- | +| `aesni-gcm-x86_64.pl` | AES-NI/PCLMULQDQ stitched AES-GCM for x86-64 | +| `chacha-x86_64.pl` | ChaCha20 for x86-64 | +| `poly1305-x86_64.pl` | Poly1305 for x86-64 | +| `sha512-x86_64.pl` | SHA-256 and SHA-512 for x86-64 (one generator, two outputs, as on AArch64) | +| `keccak1600-x86_64.pl` | Keccak for x86-64 | +| `chacha-armv8.pl` | ChaCha20 for AArch64 | +| `poly1305-armv8.pl` | Poly1305 for AArch64 | +| `sha1-armv8.pl` | SHA-1 for AArch64 | +| `sha512-armv8.pl` | SHA-256 for AArch64 (the generator emits SHA-512 or SHA-256 according to the name it is given, and only the latter is wanted) | +| `keccak1600-armv8.pl` | Keccak for AArch64 | + +`x86_64-xlate.pl`, `arm-xlate.pl` and `arm_arch.h` are the machinery those +modules use. `generate.sh` runs the generators to produce the `.S` files, which are +what crypton actually compiles -- one per object format, since the calling +convention and the assembler syntax differ. The names of the entry points are +changed on the way through, and the ELF output is given the note that says the +code does not want an executable stack. + +Keeping the generated files in the tree means building crypton needs no perl. + +## Why + +Both do something the compiler will not do with intrinsics. + +**AES-GCM.** Counter-mode AES and GHASH do not compete for the same execution +ports, so a loop that interleaves them at instruction granularity runs both in +the time one of them would take. Written in C the interleaving does not +survive: given the AES rounds and the multiplies of a group of blocks, GCC and +Clang schedule all the multiplies after all the rounds, which is the sum of the +two rather than the maximum. + +**ChaCha20.** On AArch64 the vector registers hold four ChaCha states and there +is no room for a fifth, so further parallelism has to come from the integer +side: that module runs a fifth block through the general registers alongside +four in the vector ones, and above 512 bytes two alongside six. Which register +holds which word is the whole trick, and that is not something C says. The +x86-64 module is worth taking for a different reason -- it has vector code for +lengths the C here still takes a block at a time, so a 256-byte message more +than doubles -- and is a few per cent ahead in bulk besides. + +**Poly1305.** One multiplication modulo 2^130 - 5 depends on the one before it, +so what there is to win is in how the multiplies and the carries are laid +against each other, and in keeping the accumulator in whichever base costs +less: these modules work in base 2^64 while the message is short and switch to +base 2^26 for the vector loop, which is a decision no compiler will make for +you. On AArch64 that is twice the speed of the C here at 16 KiB and three and +a half times at 64 bytes; on x86-64, a quarter faster at 16 KiB and nearly +three times at 64. + +The x86-64 module also has paths for AVX-512, which are **not** taken. What +the generator emits is chosen from the version of the assembler it is told +about, and `generate.sh` tells it one that predates AVX-512: no machine here +can run those paths, an assembler old enough to be in use cannot always +assemble them, and a path nothing has executed is not worth the few per cent +it might be worth. + +**SHA-1, SHA-256, SHA-512 and Keccak.** On AArch64 the instructions are the same ones the +intrinsics here already use. What the module does is schedule them across a +whole run of blocks instead of one at a time, and keep the message schedule of +the next block moving while the rounds of this one are still going, which a +per-block C function cannot do at all. A quarter faster, and it needs no +alignment and no copy since it reads the message as bytes. The x86-64 module +is the same idea with more paths to choose from -- the SHA extensions, AVX2, +AVX, SSSE3 -- and is about a fifth faster than the C on a machine with AVX2 +and no SHA extensions. The AArch64 SHA-1 and Keccak modules are the same +story again -- the instructions are the ones the intrinsics here use, and what +the modules add is the arrangement: the schedule of the next four SHA-1 rounds +against the rounds of this one, and one Keccak round against the next. The +x86-64 Keccak is there for a different reason: nothing on that side has +instructions for this permutation, and what the module has over the C is that +its twenty-five lanes stay in registers across a round, where a compiler given +the C spills them. Two and a half times, and level with openssl. + +## Interfaces + + size_t crypton_gcm_asm_encrypt(const void *in, void *out, size_t len, + const void *key, unsigned char ivec[16], + void *Xi); + size_t crypton_gcm_asm_decrypt(... the same ...); + +Both return the number of bytes processed, which is a multiple of 96 and may be +zero: encryption wants at least 288 bytes to start, decryption at least 96. +Whatever is left over is the caller's to finish. + +`key` is the AES key schedule in the layout the OpenSSL assembly expects -- the +round keys, and at offset 240 one less than the number of rounds, which is what +OpenSSL's own AES-NI key setup puts there -- and `Xi` points at the running +GHASH state, with the table of powers of H, in the layout `gcm_init_avx` leaves +behind, 32 bytes past it. `cbits/aes/gcm_x86_asm.c` builds both, and the +multiplication that fills that table is written there in C rather than taken +from `ghash-x86_64.pl`: it runs once per message, so it is not worth a second +vendored file, and the one in OpenSSL is under a licence this package does not +use. + +The code needs AES-NI, PCLMULQDQ, AVX and MOVBE, which +`crypton_x86_simd_features()` is asked about before any of it is called. + + void crypton_chacha20_ctr32(unsigned char *out, const unsigned char *in, + size_t len, const unsigned int key[8], + const unsigned int counter[4]); + +Twenty rounds, the constants that go with a 256-bit key, and a 32-bit counter +which it does not write back: the caller advances it by the number of blocks. +Any length is accepted; the AArch64 module's vector path starts at 192 bytes, +the x86-64 one's rather lower. They ask `crypton_armcap_P` and +`crypton_ia32cap_P` respectively what the processor has, and +`cbits/crypton_chacha.c` calls them only for the states they fit -- twenty +rounds, a 256-bit key, and only as many blocks as the 32-bit counter has room +for. + + int crypton_poly1305_asm_init(void *ctx, const unsigned char key[16], + void *func[2]); + void crypton_poly1305_asm_blocks(void *ctx, const unsigned char *inp, + size_t len, unsigned int padbit); + void crypton_poly1305_asm_emit(void *ctx, unsigned char mac[16], + const unsigned int nonce[4]); + +`ctx` is 192 bytes of state the module keeps for itself -- its accumulator, the +clamped key and the powers of it -- and `key` is the first half of the Poly1305 +key, the second half being handed to `emit` as `nonce`. `padbit` is the bit +above each block, set for the blocks of the message and clear for the padded +last one. `len` is a whole number of blocks. + +Initialisation hands back through `func` the pair of functions its own dispatch +would use, the vector entry point not being exported, and +`cbits/crypton_poly1305.c` calls those. It reads `crypton_armcap_P` to choose +between them; `cbits/crypton_cpu.c` defines that. + +The x86-64 Poly1305 module presents the same three functions, and reads +`crypton_ia32cap_P` -- cpuid's own words, in the order OpenSSL keeps them -- +where the AArch64 one reads `crypton_armcap_P`. `cbits/crypton_cpu.c` fills +it, with the bits for anything the operating system will not preserve cleared, +and the AVX-512 ones cleared whatever the processor says. + + void crypton_sha1_asm_block_data_order(unsigned int state[5], + const void *data, size_t blocks); + void crypton_sha256_asm_block_data_order(unsigned int state[8], + const void *data, size_t blocks); + size_t crypton_keccak_asm_absorb_cext(unsigned long long state[25], + const void *inp, size_t len, + size_t bsz); + +The state is the words of the digest in host order and `blocks` whole blocks of +64 bytes. Each entry point picks between the SHA-2 instructions, NEON and +plain integer code from `crypton_armcap_P`, whose SHA-1 and SHA-256 bits +`cbits/crypton_sha1.c` and `cbits/crypton_sha256.c` set once they have asked +the operating system whether the processor has them -- they are optional in +ARMv8.0. + +Keccak's absorb takes the state as its twenty-five lanes, `bsz` as the rate in +bytes, and answers with what was left over. On AArch64 the `_cext` entry point +is the one that uses the SHA-3 instructions, and `cbits/crypton_sha3.c` calls +it only where its own runtime check has found them; the x86-64 module asks +nothing of the processor beyond the baseline and is called wherever it is +compiled in. + +## Licence + +`LICENSE.cryptogams` is the licence the CRYPTOGAMS files are distributed under. +It is the three-clause BSD licence, with the GNU General Public Licence offered +as an alternative; crypton takes the former, which is the licence of the rest +of this package. diff --git a/cbits/asm/aesni-gcm-x86_64-elf.S b/cbits/asm/aesni-gcm-x86_64-elf.S new file mode 100644 --- /dev/null +++ b/cbits/asm/aesni-gcm-x86_64-elf.S @@ -0,0 +1,814 @@ +.text + +.type _crypton_gcm_asm_ctr32_ghash_6x,@function +.align 32 +_crypton_gcm_asm_ctr32_ghash_6x: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + vmovdqu 32(%r11),%xmm2 + subq $6,%rdx + vpxor %xmm4,%xmm4,%xmm4 + vmovdqu 0-128(%rcx),%xmm15 + vpaddb %xmm2,%xmm1,%xmm10 + vpaddb %xmm2,%xmm10,%xmm11 + vpaddb %xmm2,%xmm11,%xmm12 + vpaddb %xmm2,%xmm12,%xmm13 + vpaddb %xmm2,%xmm13,%xmm14 + vpxor %xmm15,%xmm1,%xmm9 + vmovdqu %xmm4,16+8(%rsp) + jmp .Loop6x + +.align 32 +.Loop6x: + addl $100663296,%ebx + jc .Lhandle_ctr32 + vmovdqu 0-32(%r9),%xmm3 + vpaddb %xmm2,%xmm14,%xmm1 + vpxor %xmm15,%xmm10,%xmm10 + vpxor %xmm15,%xmm11,%xmm11 + +.Lresume_ctr32: + vmovdqu %xmm1,(%r8) + vpclmulqdq $0x10,%xmm3,%xmm7,%xmm5 + vpxor %xmm15,%xmm12,%xmm12 + vmovups 16-128(%rcx),%xmm2 + vpclmulqdq $0x01,%xmm3,%xmm7,%xmm6 + xorq %r12,%r12 + cmpq %r14,%r15 + + vaesenc %xmm2,%xmm9,%xmm9 + vmovdqu 48+8(%rsp),%xmm0 + vpxor %xmm15,%xmm13,%xmm13 + vpclmulqdq $0x00,%xmm3,%xmm7,%xmm1 + vaesenc %xmm2,%xmm10,%xmm10 + vpxor %xmm15,%xmm14,%xmm14 + setnc %r12b + vpclmulqdq $0x11,%xmm3,%xmm7,%xmm7 + vaesenc %xmm2,%xmm11,%xmm11 + vmovdqu 16-32(%r9),%xmm3 + negq %r12 + vaesenc %xmm2,%xmm12,%xmm12 + vpxor %xmm5,%xmm6,%xmm6 + vpclmulqdq $0x00,%xmm3,%xmm0,%xmm5 + vpxor %xmm4,%xmm8,%xmm8 + vaesenc %xmm2,%xmm13,%xmm13 + vpxor %xmm5,%xmm1,%xmm4 + andq $0x60,%r12 + vmovups 32-128(%rcx),%xmm15 + vpclmulqdq $0x10,%xmm3,%xmm0,%xmm1 + vaesenc %xmm2,%xmm14,%xmm14 + + vpclmulqdq $0x01,%xmm3,%xmm0,%xmm2 + leaq (%r14,%r12,1),%r14 + vaesenc %xmm15,%xmm9,%xmm9 + vpxor 16+8(%rsp),%xmm8,%xmm8 + vpclmulqdq $0x11,%xmm3,%xmm0,%xmm3 + vmovdqu 64+8(%rsp),%xmm0 + vaesenc %xmm15,%xmm10,%xmm10 + movbeq 88(%r14),%r13 + vaesenc %xmm15,%xmm11,%xmm11 + movbeq 80(%r14),%r12 + vaesenc %xmm15,%xmm12,%xmm12 + movq %r13,32+8(%rsp) + vaesenc %xmm15,%xmm13,%xmm13 + movq %r12,40+8(%rsp) + vmovdqu 48-32(%r9),%xmm5 + vaesenc %xmm15,%xmm14,%xmm14 + + vmovups 48-128(%rcx),%xmm15 + vpxor %xmm1,%xmm6,%xmm6 + vpclmulqdq $0x00,%xmm5,%xmm0,%xmm1 + vaesenc %xmm15,%xmm9,%xmm9 + vpxor %xmm2,%xmm6,%xmm6 + vpclmulqdq $0x10,%xmm5,%xmm0,%xmm2 + vaesenc %xmm15,%xmm10,%xmm10 + vpxor %xmm3,%xmm7,%xmm7 + vpclmulqdq $0x01,%xmm5,%xmm0,%xmm3 + vaesenc %xmm15,%xmm11,%xmm11 + vpclmulqdq $0x11,%xmm5,%xmm0,%xmm5 + vmovdqu 80+8(%rsp),%xmm0 + vaesenc %xmm15,%xmm12,%xmm12 + vaesenc %xmm15,%xmm13,%xmm13 + vpxor %xmm1,%xmm4,%xmm4 + vmovdqu 64-32(%r9),%xmm1 + vaesenc %xmm15,%xmm14,%xmm14 + + vmovups 64-128(%rcx),%xmm15 + vpxor %xmm2,%xmm6,%xmm6 + vpclmulqdq $0x00,%xmm1,%xmm0,%xmm2 + vaesenc %xmm15,%xmm9,%xmm9 + vpxor %xmm3,%xmm6,%xmm6 + vpclmulqdq $0x10,%xmm1,%xmm0,%xmm3 + vaesenc %xmm15,%xmm10,%xmm10 + movbeq 72(%r14),%r13 + vpxor %xmm5,%xmm7,%xmm7 + vpclmulqdq $0x01,%xmm1,%xmm0,%xmm5 + vaesenc %xmm15,%xmm11,%xmm11 + movbeq 64(%r14),%r12 + vpclmulqdq $0x11,%xmm1,%xmm0,%xmm1 + vmovdqu 96+8(%rsp),%xmm0 + vaesenc %xmm15,%xmm12,%xmm12 + movq %r13,48+8(%rsp) + vaesenc %xmm15,%xmm13,%xmm13 + movq %r12,56+8(%rsp) + vpxor %xmm2,%xmm4,%xmm4 + vmovdqu 96-32(%r9),%xmm2 + vaesenc %xmm15,%xmm14,%xmm14 + + vmovups 80-128(%rcx),%xmm15 + vpxor %xmm3,%xmm6,%xmm6 + vpclmulqdq $0x00,%xmm2,%xmm0,%xmm3 + vaesenc %xmm15,%xmm9,%xmm9 + vpxor %xmm5,%xmm6,%xmm6 + vpclmulqdq $0x10,%xmm2,%xmm0,%xmm5 + vaesenc %xmm15,%xmm10,%xmm10 + movbeq 56(%r14),%r13 + vpxor %xmm1,%xmm7,%xmm7 + vpclmulqdq $0x01,%xmm2,%xmm0,%xmm1 + vpxor 112+8(%rsp),%xmm8,%xmm8 + vaesenc %xmm15,%xmm11,%xmm11 + movbeq 48(%r14),%r12 + vpclmulqdq $0x11,%xmm2,%xmm0,%xmm2 + vaesenc %xmm15,%xmm12,%xmm12 + movq %r13,64+8(%rsp) + vaesenc %xmm15,%xmm13,%xmm13 + movq %r12,72+8(%rsp) + vpxor %xmm3,%xmm4,%xmm4 + vmovdqu 112-32(%r9),%xmm3 + vaesenc %xmm15,%xmm14,%xmm14 + + vmovups 96-128(%rcx),%xmm15 + vpxor %xmm5,%xmm6,%xmm6 + vpclmulqdq $0x10,%xmm3,%xmm8,%xmm5 + vaesenc %xmm15,%xmm9,%xmm9 + vpxor %xmm1,%xmm6,%xmm6 + vpclmulqdq $0x01,%xmm3,%xmm8,%xmm1 + vaesenc %xmm15,%xmm10,%xmm10 + movbeq 40(%r14),%r13 + vpxor %xmm2,%xmm7,%xmm7 + vpclmulqdq $0x00,%xmm3,%xmm8,%xmm2 + vaesenc %xmm15,%xmm11,%xmm11 + movbeq 32(%r14),%r12 + vpclmulqdq $0x11,%xmm3,%xmm8,%xmm8 + vaesenc %xmm15,%xmm12,%xmm12 + movq %r13,80+8(%rsp) + vaesenc %xmm15,%xmm13,%xmm13 + movq %r12,88+8(%rsp) + vpxor %xmm5,%xmm6,%xmm6 + vaesenc %xmm15,%xmm14,%xmm14 + vpxor %xmm1,%xmm6,%xmm6 + + vmovups 112-128(%rcx),%xmm15 + vpslldq $8,%xmm6,%xmm5 + vpxor %xmm2,%xmm4,%xmm4 + vmovdqu 16(%r11),%xmm3 + + vaesenc %xmm15,%xmm9,%xmm9 + vpxor %xmm8,%xmm7,%xmm7 + vaesenc %xmm15,%xmm10,%xmm10 + vpxor %xmm5,%xmm4,%xmm4 + movbeq 24(%r14),%r13 + vaesenc %xmm15,%xmm11,%xmm11 + movbeq 16(%r14),%r12 + vpalignr $8,%xmm4,%xmm4,%xmm0 + vpclmulqdq $0x10,%xmm3,%xmm4,%xmm4 + movq %r13,96+8(%rsp) + vaesenc %xmm15,%xmm12,%xmm12 + movq %r12,104+8(%rsp) + vaesenc %xmm15,%xmm13,%xmm13 + vmovups 128-128(%rcx),%xmm1 + vaesenc %xmm15,%xmm14,%xmm14 + + vaesenc %xmm1,%xmm9,%xmm9 + vmovups 144-128(%rcx),%xmm15 + vaesenc %xmm1,%xmm10,%xmm10 + vpsrldq $8,%xmm6,%xmm6 + vaesenc %xmm1,%xmm11,%xmm11 + vpxor %xmm6,%xmm7,%xmm7 + vaesenc %xmm1,%xmm12,%xmm12 + vpxor %xmm0,%xmm4,%xmm4 + movbeq 8(%r14),%r13 + vaesenc %xmm1,%xmm13,%xmm13 + movbeq 0(%r14),%r12 + vaesenc %xmm1,%xmm14,%xmm14 + vmovups 160-128(%rcx),%xmm1 + cmpl $11,%r10d + jb .Lenc_tail + + vaesenc %xmm15,%xmm9,%xmm9 + vaesenc %xmm15,%xmm10,%xmm10 + vaesenc %xmm15,%xmm11,%xmm11 + vaesenc %xmm15,%xmm12,%xmm12 + vaesenc %xmm15,%xmm13,%xmm13 + vaesenc %xmm15,%xmm14,%xmm14 + + vaesenc %xmm1,%xmm9,%xmm9 + vaesenc %xmm1,%xmm10,%xmm10 + vaesenc %xmm1,%xmm11,%xmm11 + vaesenc %xmm1,%xmm12,%xmm12 + vaesenc %xmm1,%xmm13,%xmm13 + vmovups 176-128(%rcx),%xmm15 + vaesenc %xmm1,%xmm14,%xmm14 + vmovups 192-128(%rcx),%xmm1 + je .Lenc_tail + + vaesenc %xmm15,%xmm9,%xmm9 + vaesenc %xmm15,%xmm10,%xmm10 + vaesenc %xmm15,%xmm11,%xmm11 + vaesenc %xmm15,%xmm12,%xmm12 + vaesenc %xmm15,%xmm13,%xmm13 + vaesenc %xmm15,%xmm14,%xmm14 + + vaesenc %xmm1,%xmm9,%xmm9 + vaesenc %xmm1,%xmm10,%xmm10 + vaesenc %xmm1,%xmm11,%xmm11 + vaesenc %xmm1,%xmm12,%xmm12 + vaesenc %xmm1,%xmm13,%xmm13 + vmovups 208-128(%rcx),%xmm15 + vaesenc %xmm1,%xmm14,%xmm14 + vmovups 224-128(%rcx),%xmm1 + jmp .Lenc_tail + +.align 32 +.Lhandle_ctr32: + vmovdqu (%r11),%xmm0 + vpshufb %xmm0,%xmm1,%xmm6 + vmovdqu 48(%r11),%xmm5 + vpaddd 64(%r11),%xmm6,%xmm10 + vpaddd %xmm5,%xmm6,%xmm11 + vmovdqu 0-32(%r9),%xmm3 + vpaddd %xmm5,%xmm10,%xmm12 + vpshufb %xmm0,%xmm10,%xmm10 + vpaddd %xmm5,%xmm11,%xmm13 + vpshufb %xmm0,%xmm11,%xmm11 + vpxor %xmm15,%xmm10,%xmm10 + vpaddd %xmm5,%xmm12,%xmm14 + vpshufb %xmm0,%xmm12,%xmm12 + vpxor %xmm15,%xmm11,%xmm11 + vpaddd %xmm5,%xmm13,%xmm1 + vpshufb %xmm0,%xmm13,%xmm13 + vpshufb %xmm0,%xmm14,%xmm14 + vpshufb %xmm0,%xmm1,%xmm1 + jmp .Lresume_ctr32 + +.align 32 +.Lenc_tail: + vaesenc %xmm15,%xmm9,%xmm9 + vmovdqu %xmm7,16+8(%rsp) + vpalignr $8,%xmm4,%xmm4,%xmm8 + vaesenc %xmm15,%xmm10,%xmm10 + vpclmulqdq $0x10,%xmm3,%xmm4,%xmm4 + vpxor 0(%rdi),%xmm1,%xmm2 + vaesenc %xmm15,%xmm11,%xmm11 + vpxor 16(%rdi),%xmm1,%xmm0 + vaesenc %xmm15,%xmm12,%xmm12 + vpxor 32(%rdi),%xmm1,%xmm5 + vaesenc %xmm15,%xmm13,%xmm13 + vpxor 48(%rdi),%xmm1,%xmm6 + vaesenc %xmm15,%xmm14,%xmm14 + vpxor 64(%rdi),%xmm1,%xmm7 + vpxor 80(%rdi),%xmm1,%xmm3 + vmovdqu (%r8),%xmm1 + + vaesenclast %xmm2,%xmm9,%xmm9 + vmovdqu 32(%r11),%xmm2 + vaesenclast %xmm0,%xmm10,%xmm10 + vpaddb %xmm2,%xmm1,%xmm0 + movq %r13,112+8(%rsp) + leaq 96(%rdi),%rdi + vaesenclast %xmm5,%xmm11,%xmm11 + vpaddb %xmm2,%xmm0,%xmm5 + movq %r12,120+8(%rsp) + leaq 96(%rsi),%rsi + vmovdqu 0-128(%rcx),%xmm15 + vaesenclast %xmm6,%xmm12,%xmm12 + vpaddb %xmm2,%xmm5,%xmm6 + vaesenclast %xmm7,%xmm13,%xmm13 + vpaddb %xmm2,%xmm6,%xmm7 + vaesenclast %xmm3,%xmm14,%xmm14 + vpaddb %xmm2,%xmm7,%xmm3 + + addq $0x60,%rax + subq $0x6,%rdx + jc .L6x_done + + vmovups %xmm9,-96(%rsi) + vpxor %xmm15,%xmm1,%xmm9 + vmovups %xmm10,-80(%rsi) + vmovdqa %xmm0,%xmm10 + vmovups %xmm11,-64(%rsi) + vmovdqa %xmm5,%xmm11 + vmovups %xmm12,-48(%rsi) + vmovdqa %xmm6,%xmm12 + vmovups %xmm13,-32(%rsi) + vmovdqa %xmm7,%xmm13 + vmovups %xmm14,-16(%rsi) + vmovdqa %xmm3,%xmm14 + vmovdqu 32+8(%rsp),%xmm7 + jmp .Loop6x + +.L6x_done: + vpxor 16+8(%rsp),%xmm8,%xmm8 + vpxor %xmm4,%xmm8,%xmm8 + + .byte 0xf3,0xc3 +.cfi_endproc +.size _crypton_gcm_asm_ctr32_ghash_6x,.-_crypton_gcm_asm_ctr32_ghash_6x +.globl crypton_gcm_asm_decrypt +.type crypton_gcm_asm_decrypt,@function +.align 32 +crypton_gcm_asm_decrypt: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp + xorq %rax,%rax + cmpq $0x60,%rdx + jb .Lgcm_dec_abort + + pushq %rbx +.cfi_offset %rbx,-24 + pushq %r12 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_offset %r15,-56 + + vzeroupper + + vmovdqu (%r8),%xmm1 + addq $-128,%rsp + movl 12(%r8),%ebx + leaq .Lbswap_mask(%rip),%r11 + leaq -128(%rcx),%r14 + movq $0xf80,%r15 + vmovdqu (%r9),%xmm8 + andq $-128,%rsp + vmovdqu (%r11),%xmm0 + leaq 128(%rcx),%rcx + leaq 32+32(%r9),%r9 + movl 240-128(%rcx),%r10d + vpshufb %xmm0,%xmm8,%xmm8 + + andq %r15,%r14 + andq %rsp,%r15 + subq %r14,%r15 + jc .Ldec_no_key_aliasing + cmpq $768,%r15 + jnc .Ldec_no_key_aliasing + subq %r15,%rsp +.Ldec_no_key_aliasing: + + vmovdqu 80(%rdi),%xmm7 + leaq (%rdi),%r14 + vmovdqu 64(%rdi),%xmm4 + leaq -192(%rdi,%rdx,1),%r15 + vmovdqu 48(%rdi),%xmm5 + shrq $4,%rdx + xorq %rax,%rax + vmovdqu 32(%rdi),%xmm6 + vpshufb %xmm0,%xmm7,%xmm7 + vmovdqu 16(%rdi),%xmm2 + vpshufb %xmm0,%xmm4,%xmm4 + vmovdqu (%rdi),%xmm3 + vpshufb %xmm0,%xmm5,%xmm5 + vmovdqu %xmm4,48(%rsp) + vpshufb %xmm0,%xmm6,%xmm6 + vmovdqu %xmm5,64(%rsp) + vpshufb %xmm0,%xmm2,%xmm2 + vmovdqu %xmm6,80(%rsp) + vpshufb %xmm0,%xmm3,%xmm3 + vmovdqu %xmm2,96(%rsp) + vmovdqu %xmm3,112(%rsp) + + call _crypton_gcm_asm_ctr32_ghash_6x + + vmovups %xmm9,-96(%rsi) + vmovups %xmm10,-80(%rsi) + vmovups %xmm11,-64(%rsi) + vmovups %xmm12,-48(%rsi) + vmovups %xmm13,-32(%rsi) + vmovups %xmm14,-16(%rsi) + + vpshufb (%r11),%xmm8,%xmm8 + vmovdqu %xmm8,-64(%r9) + + vzeroupper + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp +.cfi_def_cfa_register %rsp +.Lgcm_dec_abort: + popq %rbp +.cfi_adjust_cfa_offset -8 +.cfi_restore %rbp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbx + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_gcm_asm_decrypt,.-crypton_gcm_asm_decrypt +.type _crypton_gcm_asm_ctr32_6x,@function +.align 32 +_crypton_gcm_asm_ctr32_6x: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + vmovdqu 0-128(%rcx),%xmm4 + vmovdqu 32(%r11),%xmm2 + leaq -1(%r10),%r13 + vmovups 16-128(%rcx),%xmm15 + leaq 32-128(%rcx),%r12 + vpxor %xmm4,%xmm1,%xmm9 + addl $100663296,%ebx + jc .Lhandle_ctr32_2 + vpaddb %xmm2,%xmm1,%xmm10 + vpaddb %xmm2,%xmm10,%xmm11 + vpxor %xmm4,%xmm10,%xmm10 + vpaddb %xmm2,%xmm11,%xmm12 + vpxor %xmm4,%xmm11,%xmm11 + vpaddb %xmm2,%xmm12,%xmm13 + vpxor %xmm4,%xmm12,%xmm12 + vpaddb %xmm2,%xmm13,%xmm14 + vpxor %xmm4,%xmm13,%xmm13 + vpaddb %xmm2,%xmm14,%xmm1 + vpxor %xmm4,%xmm14,%xmm14 + jmp .Loop_ctr32 + +.align 16 +.Loop_ctr32: + vaesenc %xmm15,%xmm9,%xmm9 + vaesenc %xmm15,%xmm10,%xmm10 + vaesenc %xmm15,%xmm11,%xmm11 + vaesenc %xmm15,%xmm12,%xmm12 + vaesenc %xmm15,%xmm13,%xmm13 + vaesenc %xmm15,%xmm14,%xmm14 + vmovups (%r12),%xmm15 + leaq 16(%r12),%r12 + decl %r13d + jnz .Loop_ctr32 + + vmovdqu (%r12),%xmm3 + vaesenc %xmm15,%xmm9,%xmm9 + vpxor 0(%rdi),%xmm3,%xmm4 + vaesenc %xmm15,%xmm10,%xmm10 + vpxor 16(%rdi),%xmm3,%xmm5 + vaesenc %xmm15,%xmm11,%xmm11 + vpxor 32(%rdi),%xmm3,%xmm6 + vaesenc %xmm15,%xmm12,%xmm12 + vpxor 48(%rdi),%xmm3,%xmm8 + vaesenc %xmm15,%xmm13,%xmm13 + vpxor 64(%rdi),%xmm3,%xmm2 + vaesenc %xmm15,%xmm14,%xmm14 + vpxor 80(%rdi),%xmm3,%xmm3 + leaq 96(%rdi),%rdi + + vaesenclast %xmm4,%xmm9,%xmm9 + vaesenclast %xmm5,%xmm10,%xmm10 + vaesenclast %xmm6,%xmm11,%xmm11 + vaesenclast %xmm8,%xmm12,%xmm12 + vaesenclast %xmm2,%xmm13,%xmm13 + vaesenclast %xmm3,%xmm14,%xmm14 + vmovups %xmm9,0(%rsi) + vmovups %xmm10,16(%rsi) + vmovups %xmm11,32(%rsi) + vmovups %xmm12,48(%rsi) + vmovups %xmm13,64(%rsi) + vmovups %xmm14,80(%rsi) + leaq 96(%rsi),%rsi + + .byte 0xf3,0xc3 +.align 32 +.Lhandle_ctr32_2: + vpshufb %xmm0,%xmm1,%xmm6 + vmovdqu 48(%r11),%xmm5 + vpaddd 64(%r11),%xmm6,%xmm10 + vpaddd %xmm5,%xmm6,%xmm11 + vpaddd %xmm5,%xmm10,%xmm12 + vpshufb %xmm0,%xmm10,%xmm10 + vpaddd %xmm5,%xmm11,%xmm13 + vpshufb %xmm0,%xmm11,%xmm11 + vpxor %xmm4,%xmm10,%xmm10 + vpaddd %xmm5,%xmm12,%xmm14 + vpshufb %xmm0,%xmm12,%xmm12 + vpxor %xmm4,%xmm11,%xmm11 + vpaddd %xmm5,%xmm13,%xmm1 + vpshufb %xmm0,%xmm13,%xmm13 + vpxor %xmm4,%xmm12,%xmm12 + vpshufb %xmm0,%xmm14,%xmm14 + vpxor %xmm4,%xmm13,%xmm13 + vpshufb %xmm0,%xmm1,%xmm1 + vpxor %xmm4,%xmm14,%xmm14 + jmp .Loop_ctr32 +.cfi_endproc +.size _crypton_gcm_asm_ctr32_6x,.-_crypton_gcm_asm_ctr32_6x + +.globl crypton_gcm_asm_encrypt +.type crypton_gcm_asm_encrypt,@function +.align 32 +crypton_gcm_asm_encrypt: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp + xorq %rax,%rax + cmpq $288,%rdx + jb .Lgcm_enc_abort + + pushq %rbx +.cfi_offset %rbx,-24 + pushq %r12 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_offset %r15,-56 + + vzeroupper + + vmovdqu (%r8),%xmm1 + addq $-128,%rsp + movl 12(%r8),%ebx + leaq .Lbswap_mask(%rip),%r11 + leaq -128(%rcx),%r14 + movq $0xf80,%r15 + leaq 128(%rcx),%rcx + vmovdqu (%r11),%xmm0 + andq $-128,%rsp + movl 240-128(%rcx),%r10d + + andq %r15,%r14 + andq %rsp,%r15 + subq %r14,%r15 + jc .Lenc_no_key_aliasing + cmpq $768,%r15 + jnc .Lenc_no_key_aliasing + subq %r15,%rsp +.Lenc_no_key_aliasing: + + leaq (%rsi),%r14 + leaq -192(%rsi,%rdx,1),%r15 + shrq $4,%rdx + + call _crypton_gcm_asm_ctr32_6x + vpshufb %xmm0,%xmm9,%xmm8 + vpshufb %xmm0,%xmm10,%xmm2 + vmovdqu %xmm8,112(%rsp) + vpshufb %xmm0,%xmm11,%xmm4 + vmovdqu %xmm2,96(%rsp) + vpshufb %xmm0,%xmm12,%xmm5 + vmovdqu %xmm4,80(%rsp) + vpshufb %xmm0,%xmm13,%xmm6 + vmovdqu %xmm5,64(%rsp) + vpshufb %xmm0,%xmm14,%xmm7 + vmovdqu %xmm6,48(%rsp) + + call _crypton_gcm_asm_ctr32_6x + + vmovdqu (%r9),%xmm8 + leaq 32+32(%r9),%r9 + subq $12,%rdx + movq $192,%rax + vpshufb %xmm0,%xmm8,%xmm8 + + call _crypton_gcm_asm_ctr32_ghash_6x + vmovdqu 32(%rsp),%xmm7 + vmovdqu (%r11),%xmm0 + vmovdqu 0-32(%r9),%xmm3 + vpunpckhqdq %xmm7,%xmm7,%xmm1 + vmovdqu 32-32(%r9),%xmm15 + vmovups %xmm9,-96(%rsi) + vpshufb %xmm0,%xmm9,%xmm9 + vpxor %xmm7,%xmm1,%xmm1 + vmovups %xmm10,-80(%rsi) + vpshufb %xmm0,%xmm10,%xmm10 + vmovups %xmm11,-64(%rsi) + vpshufb %xmm0,%xmm11,%xmm11 + vmovups %xmm12,-48(%rsi) + vpshufb %xmm0,%xmm12,%xmm12 + vmovups %xmm13,-32(%rsi) + vpshufb %xmm0,%xmm13,%xmm13 + vmovups %xmm14,-16(%rsi) + vpshufb %xmm0,%xmm14,%xmm14 + vmovdqu %xmm9,16(%rsp) + vmovdqu 48(%rsp),%xmm6 + vmovdqu 16-32(%r9),%xmm0 + vpunpckhqdq %xmm6,%xmm6,%xmm2 + vpclmulqdq $0x00,%xmm3,%xmm7,%xmm5 + vpxor %xmm6,%xmm2,%xmm2 + vpclmulqdq $0x11,%xmm3,%xmm7,%xmm7 + vpclmulqdq $0x00,%xmm15,%xmm1,%xmm1 + + vmovdqu 64(%rsp),%xmm9 + vpclmulqdq $0x00,%xmm0,%xmm6,%xmm4 + vmovdqu 48-32(%r9),%xmm3 + vpxor %xmm5,%xmm4,%xmm4 + vpunpckhqdq %xmm9,%xmm9,%xmm5 + vpclmulqdq $0x11,%xmm0,%xmm6,%xmm6 + vpxor %xmm9,%xmm5,%xmm5 + vpxor %xmm7,%xmm6,%xmm6 + vpclmulqdq $0x10,%xmm15,%xmm2,%xmm2 + vmovdqu 80-32(%r9),%xmm15 + vpxor %xmm1,%xmm2,%xmm2 + + vmovdqu 80(%rsp),%xmm1 + vpclmulqdq $0x00,%xmm3,%xmm9,%xmm7 + vmovdqu 64-32(%r9),%xmm0 + vpxor %xmm4,%xmm7,%xmm7 + vpunpckhqdq %xmm1,%xmm1,%xmm4 + vpclmulqdq $0x11,%xmm3,%xmm9,%xmm9 + vpxor %xmm1,%xmm4,%xmm4 + vpxor %xmm6,%xmm9,%xmm9 + vpclmulqdq $0x00,%xmm15,%xmm5,%xmm5 + vpxor %xmm2,%xmm5,%xmm5 + + vmovdqu 96(%rsp),%xmm2 + vpclmulqdq $0x00,%xmm0,%xmm1,%xmm6 + vmovdqu 96-32(%r9),%xmm3 + vpxor %xmm7,%xmm6,%xmm6 + vpunpckhqdq %xmm2,%xmm2,%xmm7 + vpclmulqdq $0x11,%xmm0,%xmm1,%xmm1 + vpxor %xmm2,%xmm7,%xmm7 + vpxor %xmm9,%xmm1,%xmm1 + vpclmulqdq $0x10,%xmm15,%xmm4,%xmm4 + vmovdqu 128-32(%r9),%xmm15 + vpxor %xmm5,%xmm4,%xmm4 + + vpxor 112(%rsp),%xmm8,%xmm8 + vpclmulqdq $0x00,%xmm3,%xmm2,%xmm5 + vmovdqu 112-32(%r9),%xmm0 + vpunpckhqdq %xmm8,%xmm8,%xmm9 + vpxor %xmm6,%xmm5,%xmm5 + vpclmulqdq $0x11,%xmm3,%xmm2,%xmm2 + vpxor %xmm8,%xmm9,%xmm9 + vpxor %xmm1,%xmm2,%xmm2 + vpclmulqdq $0x00,%xmm15,%xmm7,%xmm7 + vpxor %xmm4,%xmm7,%xmm4 + + vpclmulqdq $0x00,%xmm0,%xmm8,%xmm6 + vmovdqu 0-32(%r9),%xmm3 + vpunpckhqdq %xmm14,%xmm14,%xmm1 + vpclmulqdq $0x11,%xmm0,%xmm8,%xmm8 + vpxor %xmm14,%xmm1,%xmm1 + vpxor %xmm5,%xmm6,%xmm5 + vpclmulqdq $0x10,%xmm15,%xmm9,%xmm9 + vmovdqu 32-32(%r9),%xmm15 + vpxor %xmm2,%xmm8,%xmm7 + vpxor %xmm4,%xmm9,%xmm6 + + vmovdqu 16-32(%r9),%xmm0 + vpxor %xmm5,%xmm7,%xmm9 + vpclmulqdq $0x00,%xmm3,%xmm14,%xmm4 + vpxor %xmm9,%xmm6,%xmm6 + vpunpckhqdq %xmm13,%xmm13,%xmm2 + vpclmulqdq $0x11,%xmm3,%xmm14,%xmm14 + vpxor %xmm13,%xmm2,%xmm2 + vpslldq $8,%xmm6,%xmm9 + vpclmulqdq $0x00,%xmm15,%xmm1,%xmm1 + vpxor %xmm9,%xmm5,%xmm8 + vpsrldq $8,%xmm6,%xmm6 + vpxor %xmm6,%xmm7,%xmm7 + + vpclmulqdq $0x00,%xmm0,%xmm13,%xmm5 + vmovdqu 48-32(%r9),%xmm3 + vpxor %xmm4,%xmm5,%xmm5 + vpunpckhqdq %xmm12,%xmm12,%xmm9 + vpclmulqdq $0x11,%xmm0,%xmm13,%xmm13 + vpxor %xmm12,%xmm9,%xmm9 + vpxor %xmm14,%xmm13,%xmm13 + vpalignr $8,%xmm8,%xmm8,%xmm14 + vpclmulqdq $0x10,%xmm15,%xmm2,%xmm2 + vmovdqu 80-32(%r9),%xmm15 + vpxor %xmm1,%xmm2,%xmm2 + + vpclmulqdq $0x00,%xmm3,%xmm12,%xmm4 + vmovdqu 64-32(%r9),%xmm0 + vpxor %xmm5,%xmm4,%xmm4 + vpunpckhqdq %xmm11,%xmm11,%xmm1 + vpclmulqdq $0x11,%xmm3,%xmm12,%xmm12 + vpxor %xmm11,%xmm1,%xmm1 + vpxor %xmm13,%xmm12,%xmm12 + vxorps 16(%rsp),%xmm7,%xmm7 + vpclmulqdq $0x00,%xmm15,%xmm9,%xmm9 + vpxor %xmm2,%xmm9,%xmm9 + + vpclmulqdq $0x10,16(%r11),%xmm8,%xmm8 + vxorps %xmm14,%xmm8,%xmm8 + + vpclmulqdq $0x00,%xmm0,%xmm11,%xmm5 + vmovdqu 96-32(%r9),%xmm3 + vpxor %xmm4,%xmm5,%xmm5 + vpunpckhqdq %xmm10,%xmm10,%xmm2 + vpclmulqdq $0x11,%xmm0,%xmm11,%xmm11 + vpxor %xmm10,%xmm2,%xmm2 + vpalignr $8,%xmm8,%xmm8,%xmm14 + vpxor %xmm12,%xmm11,%xmm11 + vpclmulqdq $0x10,%xmm15,%xmm1,%xmm1 + vmovdqu 128-32(%r9),%xmm15 + vpxor %xmm9,%xmm1,%xmm1 + + vxorps %xmm7,%xmm14,%xmm14 + vpclmulqdq $0x10,16(%r11),%xmm8,%xmm8 + vxorps %xmm14,%xmm8,%xmm8 + + vpclmulqdq $0x00,%xmm3,%xmm10,%xmm4 + vmovdqu 112-32(%r9),%xmm0 + vpxor %xmm5,%xmm4,%xmm4 + vpunpckhqdq %xmm8,%xmm8,%xmm9 + vpclmulqdq $0x11,%xmm3,%xmm10,%xmm10 + vpxor %xmm8,%xmm9,%xmm9 + vpxor %xmm11,%xmm10,%xmm10 + vpclmulqdq $0x00,%xmm15,%xmm2,%xmm2 + vpxor %xmm1,%xmm2,%xmm2 + + vpclmulqdq $0x00,%xmm0,%xmm8,%xmm5 + vpclmulqdq $0x11,%xmm0,%xmm8,%xmm7 + vpxor %xmm4,%xmm5,%xmm5 + vpclmulqdq $0x10,%xmm15,%xmm9,%xmm6 + vpxor %xmm10,%xmm7,%xmm7 + vpxor %xmm2,%xmm6,%xmm6 + + vpxor %xmm5,%xmm7,%xmm4 + vpxor %xmm4,%xmm6,%xmm6 + vpslldq $8,%xmm6,%xmm1 + vmovdqu 16(%r11),%xmm3 + vpsrldq $8,%xmm6,%xmm6 + vpxor %xmm1,%xmm5,%xmm8 + vpxor %xmm6,%xmm7,%xmm7 + + vpalignr $8,%xmm8,%xmm8,%xmm2 + vpclmulqdq $0x10,%xmm3,%xmm8,%xmm8 + vpxor %xmm2,%xmm8,%xmm8 + + vpalignr $8,%xmm8,%xmm8,%xmm2 + vpclmulqdq $0x10,%xmm3,%xmm8,%xmm8 + vpxor %xmm7,%xmm2,%xmm2 + vpxor %xmm2,%xmm8,%xmm8 + vpshufb (%r11),%xmm8,%xmm8 + vmovdqu %xmm8,-64(%r9) + + vzeroupper + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp +.cfi_def_cfa_register %rsp +.Lgcm_enc_abort: + popq %rbp +.cfi_adjust_cfa_offset -8 +.cfi_restore %rbp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbx + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_gcm_asm_encrypt,.-crypton_gcm_asm_encrypt +.align 64 +.Lbswap_mask: +.byte 15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,0 +.Lpoly: +.byte 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xc2 +.Lone_msb: +.byte 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1 +.Ltwo_lsb: +.byte 2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 +.Lone_lsb: +.byte 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 +.byte 65,69,83,45,78,73,32,71,67,77,32,109,111,100,117,108,101,32,102,111,114,32,120,56,54,95,54,52,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,60,97,112,112,114,111,64,111,112,101,110,115,115,108,46,111,114,103,62,0 +.align 64 + +.section .note.gnu.property,"a",@note + .long 4,2f-1f,5 + .byte 0x47,0x4E,0x55,0 +1: .long 0xc0000002,4,3 +.align 8 +2: + +.section .note.GNU-stack,"",@progbits diff --git a/cbits/asm/aesni-gcm-x86_64-macosx.S b/cbits/asm/aesni-gcm-x86_64-macosx.S new file mode 100644 --- /dev/null +++ b/cbits/asm/aesni-gcm-x86_64-macosx.S @@ -0,0 +1,805 @@ +.text + + +.p2align 5 +_crypton_gcm_asm_ctr32_ghash_6x: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + vmovdqu 32(%r11),%xmm2 + subq $6,%rdx + vpxor %xmm4,%xmm4,%xmm4 + vmovdqu 0-128(%rcx),%xmm15 + vpaddb %xmm2,%xmm1,%xmm10 + vpaddb %xmm2,%xmm10,%xmm11 + vpaddb %xmm2,%xmm11,%xmm12 + vpaddb %xmm2,%xmm12,%xmm13 + vpaddb %xmm2,%xmm13,%xmm14 + vpxor %xmm15,%xmm1,%xmm9 + vmovdqu %xmm4,16+8(%rsp) + jmp L$oop6x + +.p2align 5 +L$oop6x: + addl $100663296,%ebx + jc L$handle_ctr32 + vmovdqu 0-32(%r9),%xmm3 + vpaddb %xmm2,%xmm14,%xmm1 + vpxor %xmm15,%xmm10,%xmm10 + vpxor %xmm15,%xmm11,%xmm11 + +L$resume_ctr32: + vmovdqu %xmm1,(%r8) + vpclmulqdq $0x10,%xmm3,%xmm7,%xmm5 + vpxor %xmm15,%xmm12,%xmm12 + vmovups 16-128(%rcx),%xmm2 + vpclmulqdq $0x01,%xmm3,%xmm7,%xmm6 + xorq %r12,%r12 + cmpq %r14,%r15 + + vaesenc %xmm2,%xmm9,%xmm9 + vmovdqu 48+8(%rsp),%xmm0 + vpxor %xmm15,%xmm13,%xmm13 + vpclmulqdq $0x00,%xmm3,%xmm7,%xmm1 + vaesenc %xmm2,%xmm10,%xmm10 + vpxor %xmm15,%xmm14,%xmm14 + setnc %r12b + vpclmulqdq $0x11,%xmm3,%xmm7,%xmm7 + vaesenc %xmm2,%xmm11,%xmm11 + vmovdqu 16-32(%r9),%xmm3 + negq %r12 + vaesenc %xmm2,%xmm12,%xmm12 + vpxor %xmm5,%xmm6,%xmm6 + vpclmulqdq $0x00,%xmm3,%xmm0,%xmm5 + vpxor %xmm4,%xmm8,%xmm8 + vaesenc %xmm2,%xmm13,%xmm13 + vpxor %xmm5,%xmm1,%xmm4 + andq $0x60,%r12 + vmovups 32-128(%rcx),%xmm15 + vpclmulqdq $0x10,%xmm3,%xmm0,%xmm1 + vaesenc %xmm2,%xmm14,%xmm14 + + vpclmulqdq $0x01,%xmm3,%xmm0,%xmm2 + leaq (%r14,%r12,1),%r14 + vaesenc %xmm15,%xmm9,%xmm9 + vpxor 16+8(%rsp),%xmm8,%xmm8 + vpclmulqdq $0x11,%xmm3,%xmm0,%xmm3 + vmovdqu 64+8(%rsp),%xmm0 + vaesenc %xmm15,%xmm10,%xmm10 + movbeq 88(%r14),%r13 + vaesenc %xmm15,%xmm11,%xmm11 + movbeq 80(%r14),%r12 + vaesenc %xmm15,%xmm12,%xmm12 + movq %r13,32+8(%rsp) + vaesenc %xmm15,%xmm13,%xmm13 + movq %r12,40+8(%rsp) + vmovdqu 48-32(%r9),%xmm5 + vaesenc %xmm15,%xmm14,%xmm14 + + vmovups 48-128(%rcx),%xmm15 + vpxor %xmm1,%xmm6,%xmm6 + vpclmulqdq $0x00,%xmm5,%xmm0,%xmm1 + vaesenc %xmm15,%xmm9,%xmm9 + vpxor %xmm2,%xmm6,%xmm6 + vpclmulqdq $0x10,%xmm5,%xmm0,%xmm2 + vaesenc %xmm15,%xmm10,%xmm10 + vpxor %xmm3,%xmm7,%xmm7 + vpclmulqdq $0x01,%xmm5,%xmm0,%xmm3 + vaesenc %xmm15,%xmm11,%xmm11 + vpclmulqdq $0x11,%xmm5,%xmm0,%xmm5 + vmovdqu 80+8(%rsp),%xmm0 + vaesenc %xmm15,%xmm12,%xmm12 + vaesenc %xmm15,%xmm13,%xmm13 + vpxor %xmm1,%xmm4,%xmm4 + vmovdqu 64-32(%r9),%xmm1 + vaesenc %xmm15,%xmm14,%xmm14 + + vmovups 64-128(%rcx),%xmm15 + vpxor %xmm2,%xmm6,%xmm6 + vpclmulqdq $0x00,%xmm1,%xmm0,%xmm2 + vaesenc %xmm15,%xmm9,%xmm9 + vpxor %xmm3,%xmm6,%xmm6 + vpclmulqdq $0x10,%xmm1,%xmm0,%xmm3 + vaesenc %xmm15,%xmm10,%xmm10 + movbeq 72(%r14),%r13 + vpxor %xmm5,%xmm7,%xmm7 + vpclmulqdq $0x01,%xmm1,%xmm0,%xmm5 + vaesenc %xmm15,%xmm11,%xmm11 + movbeq 64(%r14),%r12 + vpclmulqdq $0x11,%xmm1,%xmm0,%xmm1 + vmovdqu 96+8(%rsp),%xmm0 + vaesenc %xmm15,%xmm12,%xmm12 + movq %r13,48+8(%rsp) + vaesenc %xmm15,%xmm13,%xmm13 + movq %r12,56+8(%rsp) + vpxor %xmm2,%xmm4,%xmm4 + vmovdqu 96-32(%r9),%xmm2 + vaesenc %xmm15,%xmm14,%xmm14 + + vmovups 80-128(%rcx),%xmm15 + vpxor %xmm3,%xmm6,%xmm6 + vpclmulqdq $0x00,%xmm2,%xmm0,%xmm3 + vaesenc %xmm15,%xmm9,%xmm9 + vpxor %xmm5,%xmm6,%xmm6 + vpclmulqdq $0x10,%xmm2,%xmm0,%xmm5 + vaesenc %xmm15,%xmm10,%xmm10 + movbeq 56(%r14),%r13 + vpxor %xmm1,%xmm7,%xmm7 + vpclmulqdq $0x01,%xmm2,%xmm0,%xmm1 + vpxor 112+8(%rsp),%xmm8,%xmm8 + vaesenc %xmm15,%xmm11,%xmm11 + movbeq 48(%r14),%r12 + vpclmulqdq $0x11,%xmm2,%xmm0,%xmm2 + vaesenc %xmm15,%xmm12,%xmm12 + movq %r13,64+8(%rsp) + vaesenc %xmm15,%xmm13,%xmm13 + movq %r12,72+8(%rsp) + vpxor %xmm3,%xmm4,%xmm4 + vmovdqu 112-32(%r9),%xmm3 + vaesenc %xmm15,%xmm14,%xmm14 + + vmovups 96-128(%rcx),%xmm15 + vpxor %xmm5,%xmm6,%xmm6 + vpclmulqdq $0x10,%xmm3,%xmm8,%xmm5 + vaesenc %xmm15,%xmm9,%xmm9 + vpxor %xmm1,%xmm6,%xmm6 + vpclmulqdq $0x01,%xmm3,%xmm8,%xmm1 + vaesenc %xmm15,%xmm10,%xmm10 + movbeq 40(%r14),%r13 + vpxor %xmm2,%xmm7,%xmm7 + vpclmulqdq $0x00,%xmm3,%xmm8,%xmm2 + vaesenc %xmm15,%xmm11,%xmm11 + movbeq 32(%r14),%r12 + vpclmulqdq $0x11,%xmm3,%xmm8,%xmm8 + vaesenc %xmm15,%xmm12,%xmm12 + movq %r13,80+8(%rsp) + vaesenc %xmm15,%xmm13,%xmm13 + movq %r12,88+8(%rsp) + vpxor %xmm5,%xmm6,%xmm6 + vaesenc %xmm15,%xmm14,%xmm14 + vpxor %xmm1,%xmm6,%xmm6 + + vmovups 112-128(%rcx),%xmm15 + vpslldq $8,%xmm6,%xmm5 + vpxor %xmm2,%xmm4,%xmm4 + vmovdqu 16(%r11),%xmm3 + + vaesenc %xmm15,%xmm9,%xmm9 + vpxor %xmm8,%xmm7,%xmm7 + vaesenc %xmm15,%xmm10,%xmm10 + vpxor %xmm5,%xmm4,%xmm4 + movbeq 24(%r14),%r13 + vaesenc %xmm15,%xmm11,%xmm11 + movbeq 16(%r14),%r12 + vpalignr $8,%xmm4,%xmm4,%xmm0 + vpclmulqdq $0x10,%xmm3,%xmm4,%xmm4 + movq %r13,96+8(%rsp) + vaesenc %xmm15,%xmm12,%xmm12 + movq %r12,104+8(%rsp) + vaesenc %xmm15,%xmm13,%xmm13 + vmovups 128-128(%rcx),%xmm1 + vaesenc %xmm15,%xmm14,%xmm14 + + vaesenc %xmm1,%xmm9,%xmm9 + vmovups 144-128(%rcx),%xmm15 + vaesenc %xmm1,%xmm10,%xmm10 + vpsrldq $8,%xmm6,%xmm6 + vaesenc %xmm1,%xmm11,%xmm11 + vpxor %xmm6,%xmm7,%xmm7 + vaesenc %xmm1,%xmm12,%xmm12 + vpxor %xmm0,%xmm4,%xmm4 + movbeq 8(%r14),%r13 + vaesenc %xmm1,%xmm13,%xmm13 + movbeq 0(%r14),%r12 + vaesenc %xmm1,%xmm14,%xmm14 + vmovups 160-128(%rcx),%xmm1 + cmpl $11,%r10d + jb L$enc_tail + + vaesenc %xmm15,%xmm9,%xmm9 + vaesenc %xmm15,%xmm10,%xmm10 + vaesenc %xmm15,%xmm11,%xmm11 + vaesenc %xmm15,%xmm12,%xmm12 + vaesenc %xmm15,%xmm13,%xmm13 + vaesenc %xmm15,%xmm14,%xmm14 + + vaesenc %xmm1,%xmm9,%xmm9 + vaesenc %xmm1,%xmm10,%xmm10 + vaesenc %xmm1,%xmm11,%xmm11 + vaesenc %xmm1,%xmm12,%xmm12 + vaesenc %xmm1,%xmm13,%xmm13 + vmovups 176-128(%rcx),%xmm15 + vaesenc %xmm1,%xmm14,%xmm14 + vmovups 192-128(%rcx),%xmm1 + je L$enc_tail + + vaesenc %xmm15,%xmm9,%xmm9 + vaesenc %xmm15,%xmm10,%xmm10 + vaesenc %xmm15,%xmm11,%xmm11 + vaesenc %xmm15,%xmm12,%xmm12 + vaesenc %xmm15,%xmm13,%xmm13 + vaesenc %xmm15,%xmm14,%xmm14 + + vaesenc %xmm1,%xmm9,%xmm9 + vaesenc %xmm1,%xmm10,%xmm10 + vaesenc %xmm1,%xmm11,%xmm11 + vaesenc %xmm1,%xmm12,%xmm12 + vaesenc %xmm1,%xmm13,%xmm13 + vmovups 208-128(%rcx),%xmm15 + vaesenc %xmm1,%xmm14,%xmm14 + vmovups 224-128(%rcx),%xmm1 + jmp L$enc_tail + +.p2align 5 +L$handle_ctr32: + vmovdqu (%r11),%xmm0 + vpshufb %xmm0,%xmm1,%xmm6 + vmovdqu 48(%r11),%xmm5 + vpaddd 64(%r11),%xmm6,%xmm10 + vpaddd %xmm5,%xmm6,%xmm11 + vmovdqu 0-32(%r9),%xmm3 + vpaddd %xmm5,%xmm10,%xmm12 + vpshufb %xmm0,%xmm10,%xmm10 + vpaddd %xmm5,%xmm11,%xmm13 + vpshufb %xmm0,%xmm11,%xmm11 + vpxor %xmm15,%xmm10,%xmm10 + vpaddd %xmm5,%xmm12,%xmm14 + vpshufb %xmm0,%xmm12,%xmm12 + vpxor %xmm15,%xmm11,%xmm11 + vpaddd %xmm5,%xmm13,%xmm1 + vpshufb %xmm0,%xmm13,%xmm13 + vpshufb %xmm0,%xmm14,%xmm14 + vpshufb %xmm0,%xmm1,%xmm1 + jmp L$resume_ctr32 + +.p2align 5 +L$enc_tail: + vaesenc %xmm15,%xmm9,%xmm9 + vmovdqu %xmm7,16+8(%rsp) + vpalignr $8,%xmm4,%xmm4,%xmm8 + vaesenc %xmm15,%xmm10,%xmm10 + vpclmulqdq $0x10,%xmm3,%xmm4,%xmm4 + vpxor 0(%rdi),%xmm1,%xmm2 + vaesenc %xmm15,%xmm11,%xmm11 + vpxor 16(%rdi),%xmm1,%xmm0 + vaesenc %xmm15,%xmm12,%xmm12 + vpxor 32(%rdi),%xmm1,%xmm5 + vaesenc %xmm15,%xmm13,%xmm13 + vpxor 48(%rdi),%xmm1,%xmm6 + vaesenc %xmm15,%xmm14,%xmm14 + vpxor 64(%rdi),%xmm1,%xmm7 + vpxor 80(%rdi),%xmm1,%xmm3 + vmovdqu (%r8),%xmm1 + + vaesenclast %xmm2,%xmm9,%xmm9 + vmovdqu 32(%r11),%xmm2 + vaesenclast %xmm0,%xmm10,%xmm10 + vpaddb %xmm2,%xmm1,%xmm0 + movq %r13,112+8(%rsp) + leaq 96(%rdi),%rdi + vaesenclast %xmm5,%xmm11,%xmm11 + vpaddb %xmm2,%xmm0,%xmm5 + movq %r12,120+8(%rsp) + leaq 96(%rsi),%rsi + vmovdqu 0-128(%rcx),%xmm15 + vaesenclast %xmm6,%xmm12,%xmm12 + vpaddb %xmm2,%xmm5,%xmm6 + vaesenclast %xmm7,%xmm13,%xmm13 + vpaddb %xmm2,%xmm6,%xmm7 + vaesenclast %xmm3,%xmm14,%xmm14 + vpaddb %xmm2,%xmm7,%xmm3 + + addq $0x60,%rax + subq $0x6,%rdx + jc L$6x_done + + vmovups %xmm9,-96(%rsi) + vpxor %xmm15,%xmm1,%xmm9 + vmovups %xmm10,-80(%rsi) + vmovdqa %xmm0,%xmm10 + vmovups %xmm11,-64(%rsi) + vmovdqa %xmm5,%xmm11 + vmovups %xmm12,-48(%rsi) + vmovdqa %xmm6,%xmm12 + vmovups %xmm13,-32(%rsi) + vmovdqa %xmm7,%xmm13 + vmovups %xmm14,-16(%rsi) + vmovdqa %xmm3,%xmm14 + vmovdqu 32+8(%rsp),%xmm7 + jmp L$oop6x + +L$6x_done: + vpxor 16+8(%rsp),%xmm8,%xmm8 + vpxor %xmm4,%xmm8,%xmm8 + + .byte 0xf3,0xc3 +.cfi_endproc + +.globl _crypton_gcm_asm_decrypt + +.p2align 5 +_crypton_gcm_asm_decrypt: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp + xorq %rax,%rax + cmpq $0x60,%rdx + jb L$gcm_dec_abort + + pushq %rbx +.cfi_offset %rbx,-24 + pushq %r12 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_offset %r15,-56 + + vzeroupper + + vmovdqu (%r8),%xmm1 + addq $-128,%rsp + movl 12(%r8),%ebx + leaq L$bswap_mask(%rip),%r11 + leaq -128(%rcx),%r14 + movq $0xf80,%r15 + vmovdqu (%r9),%xmm8 + andq $-128,%rsp + vmovdqu (%r11),%xmm0 + leaq 128(%rcx),%rcx + leaq 32+32(%r9),%r9 + movl 240-128(%rcx),%r10d + vpshufb %xmm0,%xmm8,%xmm8 + + andq %r15,%r14 + andq %rsp,%r15 + subq %r14,%r15 + jc L$dec_no_key_aliasing + cmpq $768,%r15 + jnc L$dec_no_key_aliasing + subq %r15,%rsp +L$dec_no_key_aliasing: + + vmovdqu 80(%rdi),%xmm7 + leaq (%rdi),%r14 + vmovdqu 64(%rdi),%xmm4 + leaq -192(%rdi,%rdx,1),%r15 + vmovdqu 48(%rdi),%xmm5 + shrq $4,%rdx + xorq %rax,%rax + vmovdqu 32(%rdi),%xmm6 + vpshufb %xmm0,%xmm7,%xmm7 + vmovdqu 16(%rdi),%xmm2 + vpshufb %xmm0,%xmm4,%xmm4 + vmovdqu (%rdi),%xmm3 + vpshufb %xmm0,%xmm5,%xmm5 + vmovdqu %xmm4,48(%rsp) + vpshufb %xmm0,%xmm6,%xmm6 + vmovdqu %xmm5,64(%rsp) + vpshufb %xmm0,%xmm2,%xmm2 + vmovdqu %xmm6,80(%rsp) + vpshufb %xmm0,%xmm3,%xmm3 + vmovdqu %xmm2,96(%rsp) + vmovdqu %xmm3,112(%rsp) + + call _crypton_gcm_asm_ctr32_ghash_6x + + vmovups %xmm9,-96(%rsi) + vmovups %xmm10,-80(%rsi) + vmovups %xmm11,-64(%rsi) + vmovups %xmm12,-48(%rsi) + vmovups %xmm13,-32(%rsi) + vmovups %xmm14,-16(%rsi) + + vpshufb (%r11),%xmm8,%xmm8 + vmovdqu %xmm8,-64(%r9) + + vzeroupper + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp +.cfi_def_cfa_register %rsp +L$gcm_dec_abort: + popq %rbp +.cfi_adjust_cfa_offset -8 +.cfi_restore %rbp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbx + .byte 0xf3,0xc3 +.cfi_endproc + + +.p2align 5 +_crypton_gcm_asm_ctr32_6x: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + vmovdqu 0-128(%rcx),%xmm4 + vmovdqu 32(%r11),%xmm2 + leaq -1(%r10),%r13 + vmovups 16-128(%rcx),%xmm15 + leaq 32-128(%rcx),%r12 + vpxor %xmm4,%xmm1,%xmm9 + addl $100663296,%ebx + jc L$handle_ctr32_2 + vpaddb %xmm2,%xmm1,%xmm10 + vpaddb %xmm2,%xmm10,%xmm11 + vpxor %xmm4,%xmm10,%xmm10 + vpaddb %xmm2,%xmm11,%xmm12 + vpxor %xmm4,%xmm11,%xmm11 + vpaddb %xmm2,%xmm12,%xmm13 + vpxor %xmm4,%xmm12,%xmm12 + vpaddb %xmm2,%xmm13,%xmm14 + vpxor %xmm4,%xmm13,%xmm13 + vpaddb %xmm2,%xmm14,%xmm1 + vpxor %xmm4,%xmm14,%xmm14 + jmp L$oop_ctr32 + +.p2align 4 +L$oop_ctr32: + vaesenc %xmm15,%xmm9,%xmm9 + vaesenc %xmm15,%xmm10,%xmm10 + vaesenc %xmm15,%xmm11,%xmm11 + vaesenc %xmm15,%xmm12,%xmm12 + vaesenc %xmm15,%xmm13,%xmm13 + vaesenc %xmm15,%xmm14,%xmm14 + vmovups (%r12),%xmm15 + leaq 16(%r12),%r12 + decl %r13d + jnz L$oop_ctr32 + + vmovdqu (%r12),%xmm3 + vaesenc %xmm15,%xmm9,%xmm9 + vpxor 0(%rdi),%xmm3,%xmm4 + vaesenc %xmm15,%xmm10,%xmm10 + vpxor 16(%rdi),%xmm3,%xmm5 + vaesenc %xmm15,%xmm11,%xmm11 + vpxor 32(%rdi),%xmm3,%xmm6 + vaesenc %xmm15,%xmm12,%xmm12 + vpxor 48(%rdi),%xmm3,%xmm8 + vaesenc %xmm15,%xmm13,%xmm13 + vpxor 64(%rdi),%xmm3,%xmm2 + vaesenc %xmm15,%xmm14,%xmm14 + vpxor 80(%rdi),%xmm3,%xmm3 + leaq 96(%rdi),%rdi + + vaesenclast %xmm4,%xmm9,%xmm9 + vaesenclast %xmm5,%xmm10,%xmm10 + vaesenclast %xmm6,%xmm11,%xmm11 + vaesenclast %xmm8,%xmm12,%xmm12 + vaesenclast %xmm2,%xmm13,%xmm13 + vaesenclast %xmm3,%xmm14,%xmm14 + vmovups %xmm9,0(%rsi) + vmovups %xmm10,16(%rsi) + vmovups %xmm11,32(%rsi) + vmovups %xmm12,48(%rsi) + vmovups %xmm13,64(%rsi) + vmovups %xmm14,80(%rsi) + leaq 96(%rsi),%rsi + + .byte 0xf3,0xc3 +.p2align 5 +L$handle_ctr32_2: + vpshufb %xmm0,%xmm1,%xmm6 + vmovdqu 48(%r11),%xmm5 + vpaddd 64(%r11),%xmm6,%xmm10 + vpaddd %xmm5,%xmm6,%xmm11 + vpaddd %xmm5,%xmm10,%xmm12 + vpshufb %xmm0,%xmm10,%xmm10 + vpaddd %xmm5,%xmm11,%xmm13 + vpshufb %xmm0,%xmm11,%xmm11 + vpxor %xmm4,%xmm10,%xmm10 + vpaddd %xmm5,%xmm12,%xmm14 + vpshufb %xmm0,%xmm12,%xmm12 + vpxor %xmm4,%xmm11,%xmm11 + vpaddd %xmm5,%xmm13,%xmm1 + vpshufb %xmm0,%xmm13,%xmm13 + vpxor %xmm4,%xmm12,%xmm12 + vpshufb %xmm0,%xmm14,%xmm14 + vpxor %xmm4,%xmm13,%xmm13 + vpshufb %xmm0,%xmm1,%xmm1 + vpxor %xmm4,%xmm14,%xmm14 + jmp L$oop_ctr32 +.cfi_endproc + + +.globl _crypton_gcm_asm_encrypt + +.p2align 5 +_crypton_gcm_asm_encrypt: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp + xorq %rax,%rax + cmpq $288,%rdx + jb L$gcm_enc_abort + + pushq %rbx +.cfi_offset %rbx,-24 + pushq %r12 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_offset %r15,-56 + + vzeroupper + + vmovdqu (%r8),%xmm1 + addq $-128,%rsp + movl 12(%r8),%ebx + leaq L$bswap_mask(%rip),%r11 + leaq -128(%rcx),%r14 + movq $0xf80,%r15 + leaq 128(%rcx),%rcx + vmovdqu (%r11),%xmm0 + andq $-128,%rsp + movl 240-128(%rcx),%r10d + + andq %r15,%r14 + andq %rsp,%r15 + subq %r14,%r15 + jc L$enc_no_key_aliasing + cmpq $768,%r15 + jnc L$enc_no_key_aliasing + subq %r15,%rsp +L$enc_no_key_aliasing: + + leaq (%rsi),%r14 + leaq -192(%rsi,%rdx,1),%r15 + shrq $4,%rdx + + call _crypton_gcm_asm_ctr32_6x + vpshufb %xmm0,%xmm9,%xmm8 + vpshufb %xmm0,%xmm10,%xmm2 + vmovdqu %xmm8,112(%rsp) + vpshufb %xmm0,%xmm11,%xmm4 + vmovdqu %xmm2,96(%rsp) + vpshufb %xmm0,%xmm12,%xmm5 + vmovdqu %xmm4,80(%rsp) + vpshufb %xmm0,%xmm13,%xmm6 + vmovdqu %xmm5,64(%rsp) + vpshufb %xmm0,%xmm14,%xmm7 + vmovdqu %xmm6,48(%rsp) + + call _crypton_gcm_asm_ctr32_6x + + vmovdqu (%r9),%xmm8 + leaq 32+32(%r9),%r9 + subq $12,%rdx + movq $192,%rax + vpshufb %xmm0,%xmm8,%xmm8 + + call _crypton_gcm_asm_ctr32_ghash_6x + vmovdqu 32(%rsp),%xmm7 + vmovdqu (%r11),%xmm0 + vmovdqu 0-32(%r9),%xmm3 + vpunpckhqdq %xmm7,%xmm7,%xmm1 + vmovdqu 32-32(%r9),%xmm15 + vmovups %xmm9,-96(%rsi) + vpshufb %xmm0,%xmm9,%xmm9 + vpxor %xmm7,%xmm1,%xmm1 + vmovups %xmm10,-80(%rsi) + vpshufb %xmm0,%xmm10,%xmm10 + vmovups %xmm11,-64(%rsi) + vpshufb %xmm0,%xmm11,%xmm11 + vmovups %xmm12,-48(%rsi) + vpshufb %xmm0,%xmm12,%xmm12 + vmovups %xmm13,-32(%rsi) + vpshufb %xmm0,%xmm13,%xmm13 + vmovups %xmm14,-16(%rsi) + vpshufb %xmm0,%xmm14,%xmm14 + vmovdqu %xmm9,16(%rsp) + vmovdqu 48(%rsp),%xmm6 + vmovdqu 16-32(%r9),%xmm0 + vpunpckhqdq %xmm6,%xmm6,%xmm2 + vpclmulqdq $0x00,%xmm3,%xmm7,%xmm5 + vpxor %xmm6,%xmm2,%xmm2 + vpclmulqdq $0x11,%xmm3,%xmm7,%xmm7 + vpclmulqdq $0x00,%xmm15,%xmm1,%xmm1 + + vmovdqu 64(%rsp),%xmm9 + vpclmulqdq $0x00,%xmm0,%xmm6,%xmm4 + vmovdqu 48-32(%r9),%xmm3 + vpxor %xmm5,%xmm4,%xmm4 + vpunpckhqdq %xmm9,%xmm9,%xmm5 + vpclmulqdq $0x11,%xmm0,%xmm6,%xmm6 + vpxor %xmm9,%xmm5,%xmm5 + vpxor %xmm7,%xmm6,%xmm6 + vpclmulqdq $0x10,%xmm15,%xmm2,%xmm2 + vmovdqu 80-32(%r9),%xmm15 + vpxor %xmm1,%xmm2,%xmm2 + + vmovdqu 80(%rsp),%xmm1 + vpclmulqdq $0x00,%xmm3,%xmm9,%xmm7 + vmovdqu 64-32(%r9),%xmm0 + vpxor %xmm4,%xmm7,%xmm7 + vpunpckhqdq %xmm1,%xmm1,%xmm4 + vpclmulqdq $0x11,%xmm3,%xmm9,%xmm9 + vpxor %xmm1,%xmm4,%xmm4 + vpxor %xmm6,%xmm9,%xmm9 + vpclmulqdq $0x00,%xmm15,%xmm5,%xmm5 + vpxor %xmm2,%xmm5,%xmm5 + + vmovdqu 96(%rsp),%xmm2 + vpclmulqdq $0x00,%xmm0,%xmm1,%xmm6 + vmovdqu 96-32(%r9),%xmm3 + vpxor %xmm7,%xmm6,%xmm6 + vpunpckhqdq %xmm2,%xmm2,%xmm7 + vpclmulqdq $0x11,%xmm0,%xmm1,%xmm1 + vpxor %xmm2,%xmm7,%xmm7 + vpxor %xmm9,%xmm1,%xmm1 + vpclmulqdq $0x10,%xmm15,%xmm4,%xmm4 + vmovdqu 128-32(%r9),%xmm15 + vpxor %xmm5,%xmm4,%xmm4 + + vpxor 112(%rsp),%xmm8,%xmm8 + vpclmulqdq $0x00,%xmm3,%xmm2,%xmm5 + vmovdqu 112-32(%r9),%xmm0 + vpunpckhqdq %xmm8,%xmm8,%xmm9 + vpxor %xmm6,%xmm5,%xmm5 + vpclmulqdq $0x11,%xmm3,%xmm2,%xmm2 + vpxor %xmm8,%xmm9,%xmm9 + vpxor %xmm1,%xmm2,%xmm2 + vpclmulqdq $0x00,%xmm15,%xmm7,%xmm7 + vpxor %xmm4,%xmm7,%xmm4 + + vpclmulqdq $0x00,%xmm0,%xmm8,%xmm6 + vmovdqu 0-32(%r9),%xmm3 + vpunpckhqdq %xmm14,%xmm14,%xmm1 + vpclmulqdq $0x11,%xmm0,%xmm8,%xmm8 + vpxor %xmm14,%xmm1,%xmm1 + vpxor %xmm5,%xmm6,%xmm5 + vpclmulqdq $0x10,%xmm15,%xmm9,%xmm9 + vmovdqu 32-32(%r9),%xmm15 + vpxor %xmm2,%xmm8,%xmm7 + vpxor %xmm4,%xmm9,%xmm6 + + vmovdqu 16-32(%r9),%xmm0 + vpxor %xmm5,%xmm7,%xmm9 + vpclmulqdq $0x00,%xmm3,%xmm14,%xmm4 + vpxor %xmm9,%xmm6,%xmm6 + vpunpckhqdq %xmm13,%xmm13,%xmm2 + vpclmulqdq $0x11,%xmm3,%xmm14,%xmm14 + vpxor %xmm13,%xmm2,%xmm2 + vpslldq $8,%xmm6,%xmm9 + vpclmulqdq $0x00,%xmm15,%xmm1,%xmm1 + vpxor %xmm9,%xmm5,%xmm8 + vpsrldq $8,%xmm6,%xmm6 + vpxor %xmm6,%xmm7,%xmm7 + + vpclmulqdq $0x00,%xmm0,%xmm13,%xmm5 + vmovdqu 48-32(%r9),%xmm3 + vpxor %xmm4,%xmm5,%xmm5 + vpunpckhqdq %xmm12,%xmm12,%xmm9 + vpclmulqdq $0x11,%xmm0,%xmm13,%xmm13 + vpxor %xmm12,%xmm9,%xmm9 + vpxor %xmm14,%xmm13,%xmm13 + vpalignr $8,%xmm8,%xmm8,%xmm14 + vpclmulqdq $0x10,%xmm15,%xmm2,%xmm2 + vmovdqu 80-32(%r9),%xmm15 + vpxor %xmm1,%xmm2,%xmm2 + + vpclmulqdq $0x00,%xmm3,%xmm12,%xmm4 + vmovdqu 64-32(%r9),%xmm0 + vpxor %xmm5,%xmm4,%xmm4 + vpunpckhqdq %xmm11,%xmm11,%xmm1 + vpclmulqdq $0x11,%xmm3,%xmm12,%xmm12 + vpxor %xmm11,%xmm1,%xmm1 + vpxor %xmm13,%xmm12,%xmm12 + vxorps 16(%rsp),%xmm7,%xmm7 + vpclmulqdq $0x00,%xmm15,%xmm9,%xmm9 + vpxor %xmm2,%xmm9,%xmm9 + + vpclmulqdq $0x10,16(%r11),%xmm8,%xmm8 + vxorps %xmm14,%xmm8,%xmm8 + + vpclmulqdq $0x00,%xmm0,%xmm11,%xmm5 + vmovdqu 96-32(%r9),%xmm3 + vpxor %xmm4,%xmm5,%xmm5 + vpunpckhqdq %xmm10,%xmm10,%xmm2 + vpclmulqdq $0x11,%xmm0,%xmm11,%xmm11 + vpxor %xmm10,%xmm2,%xmm2 + vpalignr $8,%xmm8,%xmm8,%xmm14 + vpxor %xmm12,%xmm11,%xmm11 + vpclmulqdq $0x10,%xmm15,%xmm1,%xmm1 + vmovdqu 128-32(%r9),%xmm15 + vpxor %xmm9,%xmm1,%xmm1 + + vxorps %xmm7,%xmm14,%xmm14 + vpclmulqdq $0x10,16(%r11),%xmm8,%xmm8 + vxorps %xmm14,%xmm8,%xmm8 + + vpclmulqdq $0x00,%xmm3,%xmm10,%xmm4 + vmovdqu 112-32(%r9),%xmm0 + vpxor %xmm5,%xmm4,%xmm4 + vpunpckhqdq %xmm8,%xmm8,%xmm9 + vpclmulqdq $0x11,%xmm3,%xmm10,%xmm10 + vpxor %xmm8,%xmm9,%xmm9 + vpxor %xmm11,%xmm10,%xmm10 + vpclmulqdq $0x00,%xmm15,%xmm2,%xmm2 + vpxor %xmm1,%xmm2,%xmm2 + + vpclmulqdq $0x00,%xmm0,%xmm8,%xmm5 + vpclmulqdq $0x11,%xmm0,%xmm8,%xmm7 + vpxor %xmm4,%xmm5,%xmm5 + vpclmulqdq $0x10,%xmm15,%xmm9,%xmm6 + vpxor %xmm10,%xmm7,%xmm7 + vpxor %xmm2,%xmm6,%xmm6 + + vpxor %xmm5,%xmm7,%xmm4 + vpxor %xmm4,%xmm6,%xmm6 + vpslldq $8,%xmm6,%xmm1 + vmovdqu 16(%r11),%xmm3 + vpsrldq $8,%xmm6,%xmm6 + vpxor %xmm1,%xmm5,%xmm8 + vpxor %xmm6,%xmm7,%xmm7 + + vpalignr $8,%xmm8,%xmm8,%xmm2 + vpclmulqdq $0x10,%xmm3,%xmm8,%xmm8 + vpxor %xmm2,%xmm8,%xmm8 + + vpalignr $8,%xmm8,%xmm8,%xmm2 + vpclmulqdq $0x10,%xmm3,%xmm8,%xmm8 + vpxor %xmm7,%xmm2,%xmm2 + vpxor %xmm2,%xmm8,%xmm8 + vpshufb (%r11),%xmm8,%xmm8 + vmovdqu %xmm8,-64(%r9) + + vzeroupper + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp +.cfi_def_cfa_register %rsp +L$gcm_enc_abort: + popq %rbp +.cfi_adjust_cfa_offset -8 +.cfi_restore %rbp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbx + .byte 0xf3,0xc3 +.cfi_endproc + +.p2align 6 +L$bswap_mask: +.byte 15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,0 +L$poly: +.byte 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xc2 +L$one_msb: +.byte 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1 +L$two_lsb: +.byte 2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 +L$one_lsb: +.byte 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 +.byte 65,69,83,45,78,73,32,71,67,77,32,109,111,100,117,108,101,32,102,111,114,32,120,56,54,95,54,52,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,60,97,112,112,114,111,64,111,112,101,110,115,115,108,46,111,114,103,62,0 +.p2align 6 diff --git a/cbits/asm/aesni-gcm-x86_64-mingw64.S b/cbits/asm/aesni-gcm-x86_64-mingw64.S new file mode 100644 --- /dev/null +++ b/cbits/asm/aesni-gcm-x86_64-mingw64.S @@ -0,0 +1,965 @@ +.text + +.def _crypton_gcm_asm_ctr32_ghash_6x; .scl 3; .type 32; .endef +.p2align 5 +_crypton_gcm_asm_ctr32_ghash_6x: + .byte 0xf3,0x0f,0x1e,0xfa + + + vmovdqu 32(%r11),%xmm2 + subq $6,%rdx + vpxor %xmm4,%xmm4,%xmm4 + vmovdqu 0-128(%rcx),%xmm15 + vpaddb %xmm2,%xmm1,%xmm10 + vpaddb %xmm2,%xmm10,%xmm11 + vpaddb %xmm2,%xmm11,%xmm12 + vpaddb %xmm2,%xmm12,%xmm13 + vpaddb %xmm2,%xmm13,%xmm14 + vpxor %xmm15,%xmm1,%xmm9 + vmovdqu %xmm4,16+8(%rsp) + jmp .Loop6x + +.p2align 5 +.Loop6x: + addl $100663296,%ebx + jc .Lhandle_ctr32 + vmovdqu 0-32(%r9),%xmm3 + vpaddb %xmm2,%xmm14,%xmm1 + vpxor %xmm15,%xmm10,%xmm10 + vpxor %xmm15,%xmm11,%xmm11 + +.Lresume_ctr32: + vmovdqu %xmm1,(%r8) + vpclmulqdq $0x10,%xmm3,%xmm7,%xmm5 + vpxor %xmm15,%xmm12,%xmm12 + vmovups 16-128(%rcx),%xmm2 + vpclmulqdq $0x01,%xmm3,%xmm7,%xmm6 + xorq %r12,%r12 + cmpq %r14,%r15 + + vaesenc %xmm2,%xmm9,%xmm9 + vmovdqu 48+8(%rsp),%xmm0 + vpxor %xmm15,%xmm13,%xmm13 + vpclmulqdq $0x00,%xmm3,%xmm7,%xmm1 + vaesenc %xmm2,%xmm10,%xmm10 + vpxor %xmm15,%xmm14,%xmm14 + setnc %r12b + vpclmulqdq $0x11,%xmm3,%xmm7,%xmm7 + vaesenc %xmm2,%xmm11,%xmm11 + vmovdqu 16-32(%r9),%xmm3 + negq %r12 + vaesenc %xmm2,%xmm12,%xmm12 + vpxor %xmm5,%xmm6,%xmm6 + vpclmulqdq $0x00,%xmm3,%xmm0,%xmm5 + vpxor %xmm4,%xmm8,%xmm8 + vaesenc %xmm2,%xmm13,%xmm13 + vpxor %xmm5,%xmm1,%xmm4 + andq $0x60,%r12 + vmovups 32-128(%rcx),%xmm15 + vpclmulqdq $0x10,%xmm3,%xmm0,%xmm1 + vaesenc %xmm2,%xmm14,%xmm14 + + vpclmulqdq $0x01,%xmm3,%xmm0,%xmm2 + leaq (%r14,%r12,1),%r14 + vaesenc %xmm15,%xmm9,%xmm9 + vpxor 16+8(%rsp),%xmm8,%xmm8 + vpclmulqdq $0x11,%xmm3,%xmm0,%xmm3 + vmovdqu 64+8(%rsp),%xmm0 + vaesenc %xmm15,%xmm10,%xmm10 + movbeq 88(%r14),%r13 + vaesenc %xmm15,%xmm11,%xmm11 + movbeq 80(%r14),%r12 + vaesenc %xmm15,%xmm12,%xmm12 + movq %r13,32+8(%rsp) + vaesenc %xmm15,%xmm13,%xmm13 + movq %r12,40+8(%rsp) + vmovdqu 48-32(%r9),%xmm5 + vaesenc %xmm15,%xmm14,%xmm14 + + vmovups 48-128(%rcx),%xmm15 + vpxor %xmm1,%xmm6,%xmm6 + vpclmulqdq $0x00,%xmm5,%xmm0,%xmm1 + vaesenc %xmm15,%xmm9,%xmm9 + vpxor %xmm2,%xmm6,%xmm6 + vpclmulqdq $0x10,%xmm5,%xmm0,%xmm2 + vaesenc %xmm15,%xmm10,%xmm10 + vpxor %xmm3,%xmm7,%xmm7 + vpclmulqdq $0x01,%xmm5,%xmm0,%xmm3 + vaesenc %xmm15,%xmm11,%xmm11 + vpclmulqdq $0x11,%xmm5,%xmm0,%xmm5 + vmovdqu 80+8(%rsp),%xmm0 + vaesenc %xmm15,%xmm12,%xmm12 + vaesenc %xmm15,%xmm13,%xmm13 + vpxor %xmm1,%xmm4,%xmm4 + vmovdqu 64-32(%r9),%xmm1 + vaesenc %xmm15,%xmm14,%xmm14 + + vmovups 64-128(%rcx),%xmm15 + vpxor %xmm2,%xmm6,%xmm6 + vpclmulqdq $0x00,%xmm1,%xmm0,%xmm2 + vaesenc %xmm15,%xmm9,%xmm9 + vpxor %xmm3,%xmm6,%xmm6 + vpclmulqdq $0x10,%xmm1,%xmm0,%xmm3 + vaesenc %xmm15,%xmm10,%xmm10 + movbeq 72(%r14),%r13 + vpxor %xmm5,%xmm7,%xmm7 + vpclmulqdq $0x01,%xmm1,%xmm0,%xmm5 + vaesenc %xmm15,%xmm11,%xmm11 + movbeq 64(%r14),%r12 + vpclmulqdq $0x11,%xmm1,%xmm0,%xmm1 + vmovdqu 96+8(%rsp),%xmm0 + vaesenc %xmm15,%xmm12,%xmm12 + movq %r13,48+8(%rsp) + vaesenc %xmm15,%xmm13,%xmm13 + movq %r12,56+8(%rsp) + vpxor %xmm2,%xmm4,%xmm4 + vmovdqu 96-32(%r9),%xmm2 + vaesenc %xmm15,%xmm14,%xmm14 + + vmovups 80-128(%rcx),%xmm15 + vpxor %xmm3,%xmm6,%xmm6 + vpclmulqdq $0x00,%xmm2,%xmm0,%xmm3 + vaesenc %xmm15,%xmm9,%xmm9 + vpxor %xmm5,%xmm6,%xmm6 + vpclmulqdq $0x10,%xmm2,%xmm0,%xmm5 + vaesenc %xmm15,%xmm10,%xmm10 + movbeq 56(%r14),%r13 + vpxor %xmm1,%xmm7,%xmm7 + vpclmulqdq $0x01,%xmm2,%xmm0,%xmm1 + vpxor 112+8(%rsp),%xmm8,%xmm8 + vaesenc %xmm15,%xmm11,%xmm11 + movbeq 48(%r14),%r12 + vpclmulqdq $0x11,%xmm2,%xmm0,%xmm2 + vaesenc %xmm15,%xmm12,%xmm12 + movq %r13,64+8(%rsp) + vaesenc %xmm15,%xmm13,%xmm13 + movq %r12,72+8(%rsp) + vpxor %xmm3,%xmm4,%xmm4 + vmovdqu 112-32(%r9),%xmm3 + vaesenc %xmm15,%xmm14,%xmm14 + + vmovups 96-128(%rcx),%xmm15 + vpxor %xmm5,%xmm6,%xmm6 + vpclmulqdq $0x10,%xmm3,%xmm8,%xmm5 + vaesenc %xmm15,%xmm9,%xmm9 + vpxor %xmm1,%xmm6,%xmm6 + vpclmulqdq $0x01,%xmm3,%xmm8,%xmm1 + vaesenc %xmm15,%xmm10,%xmm10 + movbeq 40(%r14),%r13 + vpxor %xmm2,%xmm7,%xmm7 + vpclmulqdq $0x00,%xmm3,%xmm8,%xmm2 + vaesenc %xmm15,%xmm11,%xmm11 + movbeq 32(%r14),%r12 + vpclmulqdq $0x11,%xmm3,%xmm8,%xmm8 + vaesenc %xmm15,%xmm12,%xmm12 + movq %r13,80+8(%rsp) + vaesenc %xmm15,%xmm13,%xmm13 + movq %r12,88+8(%rsp) + vpxor %xmm5,%xmm6,%xmm6 + vaesenc %xmm15,%xmm14,%xmm14 + vpxor %xmm1,%xmm6,%xmm6 + + vmovups 112-128(%rcx),%xmm15 + vpslldq $8,%xmm6,%xmm5 + vpxor %xmm2,%xmm4,%xmm4 + vmovdqu 16(%r11),%xmm3 + + vaesenc %xmm15,%xmm9,%xmm9 + vpxor %xmm8,%xmm7,%xmm7 + vaesenc %xmm15,%xmm10,%xmm10 + vpxor %xmm5,%xmm4,%xmm4 + movbeq 24(%r14),%r13 + vaesenc %xmm15,%xmm11,%xmm11 + movbeq 16(%r14),%r12 + vpalignr $8,%xmm4,%xmm4,%xmm0 + vpclmulqdq $0x10,%xmm3,%xmm4,%xmm4 + movq %r13,96+8(%rsp) + vaesenc %xmm15,%xmm12,%xmm12 + movq %r12,104+8(%rsp) + vaesenc %xmm15,%xmm13,%xmm13 + vmovups 128-128(%rcx),%xmm1 + vaesenc %xmm15,%xmm14,%xmm14 + + vaesenc %xmm1,%xmm9,%xmm9 + vmovups 144-128(%rcx),%xmm15 + vaesenc %xmm1,%xmm10,%xmm10 + vpsrldq $8,%xmm6,%xmm6 + vaesenc %xmm1,%xmm11,%xmm11 + vpxor %xmm6,%xmm7,%xmm7 + vaesenc %xmm1,%xmm12,%xmm12 + vpxor %xmm0,%xmm4,%xmm4 + movbeq 8(%r14),%r13 + vaesenc %xmm1,%xmm13,%xmm13 + movbeq 0(%r14),%r12 + vaesenc %xmm1,%xmm14,%xmm14 + vmovups 160-128(%rcx),%xmm1 + cmpl $11,%r10d + jb .Lenc_tail + + vaesenc %xmm15,%xmm9,%xmm9 + vaesenc %xmm15,%xmm10,%xmm10 + vaesenc %xmm15,%xmm11,%xmm11 + vaesenc %xmm15,%xmm12,%xmm12 + vaesenc %xmm15,%xmm13,%xmm13 + vaesenc %xmm15,%xmm14,%xmm14 + + vaesenc %xmm1,%xmm9,%xmm9 + vaesenc %xmm1,%xmm10,%xmm10 + vaesenc %xmm1,%xmm11,%xmm11 + vaesenc %xmm1,%xmm12,%xmm12 + vaesenc %xmm1,%xmm13,%xmm13 + vmovups 176-128(%rcx),%xmm15 + vaesenc %xmm1,%xmm14,%xmm14 + vmovups 192-128(%rcx),%xmm1 + je .Lenc_tail + + vaesenc %xmm15,%xmm9,%xmm9 + vaesenc %xmm15,%xmm10,%xmm10 + vaesenc %xmm15,%xmm11,%xmm11 + vaesenc %xmm15,%xmm12,%xmm12 + vaesenc %xmm15,%xmm13,%xmm13 + vaesenc %xmm15,%xmm14,%xmm14 + + vaesenc %xmm1,%xmm9,%xmm9 + vaesenc %xmm1,%xmm10,%xmm10 + vaesenc %xmm1,%xmm11,%xmm11 + vaesenc %xmm1,%xmm12,%xmm12 + vaesenc %xmm1,%xmm13,%xmm13 + vmovups 208-128(%rcx),%xmm15 + vaesenc %xmm1,%xmm14,%xmm14 + vmovups 224-128(%rcx),%xmm1 + jmp .Lenc_tail + +.p2align 5 +.Lhandle_ctr32: + vmovdqu (%r11),%xmm0 + vpshufb %xmm0,%xmm1,%xmm6 + vmovdqu 48(%r11),%xmm5 + vpaddd 64(%r11),%xmm6,%xmm10 + vpaddd %xmm5,%xmm6,%xmm11 + vmovdqu 0-32(%r9),%xmm3 + vpaddd %xmm5,%xmm10,%xmm12 + vpshufb %xmm0,%xmm10,%xmm10 + vpaddd %xmm5,%xmm11,%xmm13 + vpshufb %xmm0,%xmm11,%xmm11 + vpxor %xmm15,%xmm10,%xmm10 + vpaddd %xmm5,%xmm12,%xmm14 + vpshufb %xmm0,%xmm12,%xmm12 + vpxor %xmm15,%xmm11,%xmm11 + vpaddd %xmm5,%xmm13,%xmm1 + vpshufb %xmm0,%xmm13,%xmm13 + vpshufb %xmm0,%xmm14,%xmm14 + vpshufb %xmm0,%xmm1,%xmm1 + jmp .Lresume_ctr32 + +.p2align 5 +.Lenc_tail: + vaesenc %xmm15,%xmm9,%xmm9 + vmovdqu %xmm7,16+8(%rsp) + vpalignr $8,%xmm4,%xmm4,%xmm8 + vaesenc %xmm15,%xmm10,%xmm10 + vpclmulqdq $0x10,%xmm3,%xmm4,%xmm4 + vpxor 0(%rdi),%xmm1,%xmm2 + vaesenc %xmm15,%xmm11,%xmm11 + vpxor 16(%rdi),%xmm1,%xmm0 + vaesenc %xmm15,%xmm12,%xmm12 + vpxor 32(%rdi),%xmm1,%xmm5 + vaesenc %xmm15,%xmm13,%xmm13 + vpxor 48(%rdi),%xmm1,%xmm6 + vaesenc %xmm15,%xmm14,%xmm14 + vpxor 64(%rdi),%xmm1,%xmm7 + vpxor 80(%rdi),%xmm1,%xmm3 + vmovdqu (%r8),%xmm1 + + vaesenclast %xmm2,%xmm9,%xmm9 + vmovdqu 32(%r11),%xmm2 + vaesenclast %xmm0,%xmm10,%xmm10 + vpaddb %xmm2,%xmm1,%xmm0 + movq %r13,112+8(%rsp) + leaq 96(%rdi),%rdi + vaesenclast %xmm5,%xmm11,%xmm11 + vpaddb %xmm2,%xmm0,%xmm5 + movq %r12,120+8(%rsp) + leaq 96(%rsi),%rsi + vmovdqu 0-128(%rcx),%xmm15 + vaesenclast %xmm6,%xmm12,%xmm12 + vpaddb %xmm2,%xmm5,%xmm6 + vaesenclast %xmm7,%xmm13,%xmm13 + vpaddb %xmm2,%xmm6,%xmm7 + vaesenclast %xmm3,%xmm14,%xmm14 + vpaddb %xmm2,%xmm7,%xmm3 + + addq $0x60,%rax + subq $0x6,%rdx + jc .L6x_done + + vmovups %xmm9,-96(%rsi) + vpxor %xmm15,%xmm1,%xmm9 + vmovups %xmm10,-80(%rsi) + vmovdqa %xmm0,%xmm10 + vmovups %xmm11,-64(%rsi) + vmovdqa %xmm5,%xmm11 + vmovups %xmm12,-48(%rsi) + vmovdqa %xmm6,%xmm12 + vmovups %xmm13,-32(%rsi) + vmovdqa %xmm7,%xmm13 + vmovups %xmm14,-16(%rsi) + vmovdqa %xmm3,%xmm14 + vmovdqu 32+8(%rsp),%xmm7 + jmp .Loop6x + +.L6x_done: + vpxor 16+8(%rsp),%xmm8,%xmm8 + vpxor %xmm4,%xmm8,%xmm8 + + .byte 0xf3,0xc3 + + +.globl crypton_gcm_asm_decrypt +.def crypton_gcm_asm_decrypt; .scl 2; .type 32; .endef +.p2align 5 +crypton_gcm_asm_decrypt: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%r11 +.LSEH_begin_crypton_gcm_asm_decrypt: + + + pushq %rbp + + movq %rsp,%rbp + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx + movq %r9,%rcx + movq 48(%rsp),%r8 + movq 56(%rsp),%r9 + xorq %rax,%rax + cmpq $0x60,%rdx + jb .Lgcm_dec_abort + + pushq %rbx + + pushq %r12 + + pushq %r13 + + pushq %r14 + + pushq %r15 + + leaq -168(%rsp),%rsp + + movaps %xmm6,-208(%rbp) + movaps %xmm7,-192(%rbp) + movaps %xmm8,-176(%rbp) + movaps %xmm9,-160(%rbp) + movaps %xmm10,-144(%rbp) + movaps %xmm11,-128(%rbp) + movaps %xmm12,-112(%rbp) + movaps %xmm13,-96(%rbp) + movaps %xmm14,-80(%rbp) + movaps %xmm15,-64(%rbp) + +.LSEH_body_crypton_gcm_asm_decrypt: + + vzeroupper + + vmovdqu (%r8),%xmm1 + addq $-128,%rsp + movl 12(%r8),%ebx + leaq .Lbswap_mask(%rip),%r11 + leaq -128(%rcx),%r14 + movq $0xf80,%r15 + vmovdqu (%r9),%xmm8 + andq $-128,%rsp + vmovdqu (%r11),%xmm0 + leaq 128(%rcx),%rcx + leaq 32+32(%r9),%r9 + movl 240-128(%rcx),%r10d + vpshufb %xmm0,%xmm8,%xmm8 + + andq %r15,%r14 + andq %rsp,%r15 + subq %r14,%r15 + jc .Ldec_no_key_aliasing + cmpq $768,%r15 + jnc .Ldec_no_key_aliasing + subq %r15,%rsp +.Ldec_no_key_aliasing: + + vmovdqu 80(%rdi),%xmm7 + leaq (%rdi),%r14 + vmovdqu 64(%rdi),%xmm4 + leaq -192(%rdi,%rdx,1),%r15 + vmovdqu 48(%rdi),%xmm5 + shrq $4,%rdx + xorq %rax,%rax + vmovdqu 32(%rdi),%xmm6 + vpshufb %xmm0,%xmm7,%xmm7 + vmovdqu 16(%rdi),%xmm2 + vpshufb %xmm0,%xmm4,%xmm4 + vmovdqu (%rdi),%xmm3 + vpshufb %xmm0,%xmm5,%xmm5 + vmovdqu %xmm4,48(%rsp) + vpshufb %xmm0,%xmm6,%xmm6 + vmovdqu %xmm5,64(%rsp) + vpshufb %xmm0,%xmm2,%xmm2 + vmovdqu %xmm6,80(%rsp) + vpshufb %xmm0,%xmm3,%xmm3 + vmovdqu %xmm2,96(%rsp) + vmovdqu %xmm3,112(%rsp) + + call _crypton_gcm_asm_ctr32_ghash_6x + + vmovups %xmm9,-96(%rsi) + vmovups %xmm10,-80(%rsi) + vmovups %xmm11,-64(%rsi) + vmovups %xmm12,-48(%rsi) + vmovups %xmm13,-32(%rsi) + vmovups %xmm14,-16(%rsi) + + vpshufb (%r11),%xmm8,%xmm8 + vmovdqu %xmm8,-64(%r9) + + vzeroupper + movaps -208(%rbp),%xmm6 + movaps -192(%rbp),%xmm7 + movaps -176(%rbp),%xmm8 + movaps -160(%rbp),%xmm9 + movaps -144(%rbp),%xmm10 + movaps -128(%rbp),%xmm11 + movaps -112(%rbp),%xmm12 + movaps -96(%rbp),%xmm13 + movaps -80(%rbp),%xmm14 + movaps -64(%rbp),%xmm15 + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp + +.Lgcm_dec_abort: + popq %rbp + +.LSEH_epilogue_crypton_gcm_asm_decrypt: + mov 8(%rsp),%rdi + mov 16(%rsp),%rsi + + .byte 0xf3,0xc3 + +.LSEH_end_crypton_gcm_asm_decrypt: +.def _crypton_gcm_asm_ctr32_6x; .scl 3; .type 32; .endef +.p2align 5 +_crypton_gcm_asm_ctr32_6x: + .byte 0xf3,0x0f,0x1e,0xfa + + + vmovdqu 0-128(%rcx),%xmm4 + vmovdqu 32(%r11),%xmm2 + leaq -1(%r10),%r13 + vmovups 16-128(%rcx),%xmm15 + leaq 32-128(%rcx),%r12 + vpxor %xmm4,%xmm1,%xmm9 + addl $100663296,%ebx + jc .Lhandle_ctr32_2 + vpaddb %xmm2,%xmm1,%xmm10 + vpaddb %xmm2,%xmm10,%xmm11 + vpxor %xmm4,%xmm10,%xmm10 + vpaddb %xmm2,%xmm11,%xmm12 + vpxor %xmm4,%xmm11,%xmm11 + vpaddb %xmm2,%xmm12,%xmm13 + vpxor %xmm4,%xmm12,%xmm12 + vpaddb %xmm2,%xmm13,%xmm14 + vpxor %xmm4,%xmm13,%xmm13 + vpaddb %xmm2,%xmm14,%xmm1 + vpxor %xmm4,%xmm14,%xmm14 + jmp .Loop_ctr32 + +.p2align 4 +.Loop_ctr32: + vaesenc %xmm15,%xmm9,%xmm9 + vaesenc %xmm15,%xmm10,%xmm10 + vaesenc %xmm15,%xmm11,%xmm11 + vaesenc %xmm15,%xmm12,%xmm12 + vaesenc %xmm15,%xmm13,%xmm13 + vaesenc %xmm15,%xmm14,%xmm14 + vmovups (%r12),%xmm15 + leaq 16(%r12),%r12 + decl %r13d + jnz .Loop_ctr32 + + vmovdqu (%r12),%xmm3 + vaesenc %xmm15,%xmm9,%xmm9 + vpxor 0(%rdi),%xmm3,%xmm4 + vaesenc %xmm15,%xmm10,%xmm10 + vpxor 16(%rdi),%xmm3,%xmm5 + vaesenc %xmm15,%xmm11,%xmm11 + vpxor 32(%rdi),%xmm3,%xmm6 + vaesenc %xmm15,%xmm12,%xmm12 + vpxor 48(%rdi),%xmm3,%xmm8 + vaesenc %xmm15,%xmm13,%xmm13 + vpxor 64(%rdi),%xmm3,%xmm2 + vaesenc %xmm15,%xmm14,%xmm14 + vpxor 80(%rdi),%xmm3,%xmm3 + leaq 96(%rdi),%rdi + + vaesenclast %xmm4,%xmm9,%xmm9 + vaesenclast %xmm5,%xmm10,%xmm10 + vaesenclast %xmm6,%xmm11,%xmm11 + vaesenclast %xmm8,%xmm12,%xmm12 + vaesenclast %xmm2,%xmm13,%xmm13 + vaesenclast %xmm3,%xmm14,%xmm14 + vmovups %xmm9,0(%rsi) + vmovups %xmm10,16(%rsi) + vmovups %xmm11,32(%rsi) + vmovups %xmm12,48(%rsi) + vmovups %xmm13,64(%rsi) + vmovups %xmm14,80(%rsi) + leaq 96(%rsi),%rsi + + .byte 0xf3,0xc3 +.p2align 5 +.Lhandle_ctr32_2: + vpshufb %xmm0,%xmm1,%xmm6 + vmovdqu 48(%r11),%xmm5 + vpaddd 64(%r11),%xmm6,%xmm10 + vpaddd %xmm5,%xmm6,%xmm11 + vpaddd %xmm5,%xmm10,%xmm12 + vpshufb %xmm0,%xmm10,%xmm10 + vpaddd %xmm5,%xmm11,%xmm13 + vpshufb %xmm0,%xmm11,%xmm11 + vpxor %xmm4,%xmm10,%xmm10 + vpaddd %xmm5,%xmm12,%xmm14 + vpshufb %xmm0,%xmm12,%xmm12 + vpxor %xmm4,%xmm11,%xmm11 + vpaddd %xmm5,%xmm13,%xmm1 + vpshufb %xmm0,%xmm13,%xmm13 + vpxor %xmm4,%xmm12,%xmm12 + vpshufb %xmm0,%xmm14,%xmm14 + vpxor %xmm4,%xmm13,%xmm13 + vpshufb %xmm0,%xmm1,%xmm1 + vpxor %xmm4,%xmm14,%xmm14 + jmp .Loop_ctr32 + + + +.globl crypton_gcm_asm_encrypt +.def crypton_gcm_asm_encrypt; .scl 2; .type 32; .endef +.p2align 5 +crypton_gcm_asm_encrypt: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%r11 +.LSEH_begin_crypton_gcm_asm_encrypt: + + + pushq %rbp + + movq %rsp,%rbp + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx + movq %r9,%rcx + movq 48(%rsp),%r8 + movq 56(%rsp),%r9 + xorq %rax,%rax + cmpq $288,%rdx + jb .Lgcm_enc_abort + + pushq %rbx + + pushq %r12 + + pushq %r13 + + pushq %r14 + + pushq %r15 + + leaq -168(%rsp),%rsp + + movaps %xmm6,-208(%rbp) + movaps %xmm7,-192(%rbp) + movaps %xmm8,-176(%rbp) + movaps %xmm9,-160(%rbp) + movaps %xmm10,-144(%rbp) + movaps %xmm11,-128(%rbp) + movaps %xmm12,-112(%rbp) + movaps %xmm13,-96(%rbp) + movaps %xmm14,-80(%rbp) + movaps %xmm15,-64(%rbp) + +.LSEH_body_crypton_gcm_asm_encrypt: + + vzeroupper + + vmovdqu (%r8),%xmm1 + addq $-128,%rsp + movl 12(%r8),%ebx + leaq .Lbswap_mask(%rip),%r11 + leaq -128(%rcx),%r14 + movq $0xf80,%r15 + leaq 128(%rcx),%rcx + vmovdqu (%r11),%xmm0 + andq $-128,%rsp + movl 240-128(%rcx),%r10d + + andq %r15,%r14 + andq %rsp,%r15 + subq %r14,%r15 + jc .Lenc_no_key_aliasing + cmpq $768,%r15 + jnc .Lenc_no_key_aliasing + subq %r15,%rsp +.Lenc_no_key_aliasing: + + leaq (%rsi),%r14 + leaq -192(%rsi,%rdx,1),%r15 + shrq $4,%rdx + + call _crypton_gcm_asm_ctr32_6x + vpshufb %xmm0,%xmm9,%xmm8 + vpshufb %xmm0,%xmm10,%xmm2 + vmovdqu %xmm8,112(%rsp) + vpshufb %xmm0,%xmm11,%xmm4 + vmovdqu %xmm2,96(%rsp) + vpshufb %xmm0,%xmm12,%xmm5 + vmovdqu %xmm4,80(%rsp) + vpshufb %xmm0,%xmm13,%xmm6 + vmovdqu %xmm5,64(%rsp) + vpshufb %xmm0,%xmm14,%xmm7 + vmovdqu %xmm6,48(%rsp) + + call _crypton_gcm_asm_ctr32_6x + + vmovdqu (%r9),%xmm8 + leaq 32+32(%r9),%r9 + subq $12,%rdx + movq $192,%rax + vpshufb %xmm0,%xmm8,%xmm8 + + call _crypton_gcm_asm_ctr32_ghash_6x + vmovdqu 32(%rsp),%xmm7 + vmovdqu (%r11),%xmm0 + vmovdqu 0-32(%r9),%xmm3 + vpunpckhqdq %xmm7,%xmm7,%xmm1 + vmovdqu 32-32(%r9),%xmm15 + vmovups %xmm9,-96(%rsi) + vpshufb %xmm0,%xmm9,%xmm9 + vpxor %xmm7,%xmm1,%xmm1 + vmovups %xmm10,-80(%rsi) + vpshufb %xmm0,%xmm10,%xmm10 + vmovups %xmm11,-64(%rsi) + vpshufb %xmm0,%xmm11,%xmm11 + vmovups %xmm12,-48(%rsi) + vpshufb %xmm0,%xmm12,%xmm12 + vmovups %xmm13,-32(%rsi) + vpshufb %xmm0,%xmm13,%xmm13 + vmovups %xmm14,-16(%rsi) + vpshufb %xmm0,%xmm14,%xmm14 + vmovdqu %xmm9,16(%rsp) + vmovdqu 48(%rsp),%xmm6 + vmovdqu 16-32(%r9),%xmm0 + vpunpckhqdq %xmm6,%xmm6,%xmm2 + vpclmulqdq $0x00,%xmm3,%xmm7,%xmm5 + vpxor %xmm6,%xmm2,%xmm2 + vpclmulqdq $0x11,%xmm3,%xmm7,%xmm7 + vpclmulqdq $0x00,%xmm15,%xmm1,%xmm1 + + vmovdqu 64(%rsp),%xmm9 + vpclmulqdq $0x00,%xmm0,%xmm6,%xmm4 + vmovdqu 48-32(%r9),%xmm3 + vpxor %xmm5,%xmm4,%xmm4 + vpunpckhqdq %xmm9,%xmm9,%xmm5 + vpclmulqdq $0x11,%xmm0,%xmm6,%xmm6 + vpxor %xmm9,%xmm5,%xmm5 + vpxor %xmm7,%xmm6,%xmm6 + vpclmulqdq $0x10,%xmm15,%xmm2,%xmm2 + vmovdqu 80-32(%r9),%xmm15 + vpxor %xmm1,%xmm2,%xmm2 + + vmovdqu 80(%rsp),%xmm1 + vpclmulqdq $0x00,%xmm3,%xmm9,%xmm7 + vmovdqu 64-32(%r9),%xmm0 + vpxor %xmm4,%xmm7,%xmm7 + vpunpckhqdq %xmm1,%xmm1,%xmm4 + vpclmulqdq $0x11,%xmm3,%xmm9,%xmm9 + vpxor %xmm1,%xmm4,%xmm4 + vpxor %xmm6,%xmm9,%xmm9 + vpclmulqdq $0x00,%xmm15,%xmm5,%xmm5 + vpxor %xmm2,%xmm5,%xmm5 + + vmovdqu 96(%rsp),%xmm2 + vpclmulqdq $0x00,%xmm0,%xmm1,%xmm6 + vmovdqu 96-32(%r9),%xmm3 + vpxor %xmm7,%xmm6,%xmm6 + vpunpckhqdq %xmm2,%xmm2,%xmm7 + vpclmulqdq $0x11,%xmm0,%xmm1,%xmm1 + vpxor %xmm2,%xmm7,%xmm7 + vpxor %xmm9,%xmm1,%xmm1 + vpclmulqdq $0x10,%xmm15,%xmm4,%xmm4 + vmovdqu 128-32(%r9),%xmm15 + vpxor %xmm5,%xmm4,%xmm4 + + vpxor 112(%rsp),%xmm8,%xmm8 + vpclmulqdq $0x00,%xmm3,%xmm2,%xmm5 + vmovdqu 112-32(%r9),%xmm0 + vpunpckhqdq %xmm8,%xmm8,%xmm9 + vpxor %xmm6,%xmm5,%xmm5 + vpclmulqdq $0x11,%xmm3,%xmm2,%xmm2 + vpxor %xmm8,%xmm9,%xmm9 + vpxor %xmm1,%xmm2,%xmm2 + vpclmulqdq $0x00,%xmm15,%xmm7,%xmm7 + vpxor %xmm4,%xmm7,%xmm4 + + vpclmulqdq $0x00,%xmm0,%xmm8,%xmm6 + vmovdqu 0-32(%r9),%xmm3 + vpunpckhqdq %xmm14,%xmm14,%xmm1 + vpclmulqdq $0x11,%xmm0,%xmm8,%xmm8 + vpxor %xmm14,%xmm1,%xmm1 + vpxor %xmm5,%xmm6,%xmm5 + vpclmulqdq $0x10,%xmm15,%xmm9,%xmm9 + vmovdqu 32-32(%r9),%xmm15 + vpxor %xmm2,%xmm8,%xmm7 + vpxor %xmm4,%xmm9,%xmm6 + + vmovdqu 16-32(%r9),%xmm0 + vpxor %xmm5,%xmm7,%xmm9 + vpclmulqdq $0x00,%xmm3,%xmm14,%xmm4 + vpxor %xmm9,%xmm6,%xmm6 + vpunpckhqdq %xmm13,%xmm13,%xmm2 + vpclmulqdq $0x11,%xmm3,%xmm14,%xmm14 + vpxor %xmm13,%xmm2,%xmm2 + vpslldq $8,%xmm6,%xmm9 + vpclmulqdq $0x00,%xmm15,%xmm1,%xmm1 + vpxor %xmm9,%xmm5,%xmm8 + vpsrldq $8,%xmm6,%xmm6 + vpxor %xmm6,%xmm7,%xmm7 + + vpclmulqdq $0x00,%xmm0,%xmm13,%xmm5 + vmovdqu 48-32(%r9),%xmm3 + vpxor %xmm4,%xmm5,%xmm5 + vpunpckhqdq %xmm12,%xmm12,%xmm9 + vpclmulqdq $0x11,%xmm0,%xmm13,%xmm13 + vpxor %xmm12,%xmm9,%xmm9 + vpxor %xmm14,%xmm13,%xmm13 + vpalignr $8,%xmm8,%xmm8,%xmm14 + vpclmulqdq $0x10,%xmm15,%xmm2,%xmm2 + vmovdqu 80-32(%r9),%xmm15 + vpxor %xmm1,%xmm2,%xmm2 + + vpclmulqdq $0x00,%xmm3,%xmm12,%xmm4 + vmovdqu 64-32(%r9),%xmm0 + vpxor %xmm5,%xmm4,%xmm4 + vpunpckhqdq %xmm11,%xmm11,%xmm1 + vpclmulqdq $0x11,%xmm3,%xmm12,%xmm12 + vpxor %xmm11,%xmm1,%xmm1 + vpxor %xmm13,%xmm12,%xmm12 + vxorps 16(%rsp),%xmm7,%xmm7 + vpclmulqdq $0x00,%xmm15,%xmm9,%xmm9 + vpxor %xmm2,%xmm9,%xmm9 + + vpclmulqdq $0x10,16(%r11),%xmm8,%xmm8 + vxorps %xmm14,%xmm8,%xmm8 + + vpclmulqdq $0x00,%xmm0,%xmm11,%xmm5 + vmovdqu 96-32(%r9),%xmm3 + vpxor %xmm4,%xmm5,%xmm5 + vpunpckhqdq %xmm10,%xmm10,%xmm2 + vpclmulqdq $0x11,%xmm0,%xmm11,%xmm11 + vpxor %xmm10,%xmm2,%xmm2 + vpalignr $8,%xmm8,%xmm8,%xmm14 + vpxor %xmm12,%xmm11,%xmm11 + vpclmulqdq $0x10,%xmm15,%xmm1,%xmm1 + vmovdqu 128-32(%r9),%xmm15 + vpxor %xmm9,%xmm1,%xmm1 + + vxorps %xmm7,%xmm14,%xmm14 + vpclmulqdq $0x10,16(%r11),%xmm8,%xmm8 + vxorps %xmm14,%xmm8,%xmm8 + + vpclmulqdq $0x00,%xmm3,%xmm10,%xmm4 + vmovdqu 112-32(%r9),%xmm0 + vpxor %xmm5,%xmm4,%xmm4 + vpunpckhqdq %xmm8,%xmm8,%xmm9 + vpclmulqdq $0x11,%xmm3,%xmm10,%xmm10 + vpxor %xmm8,%xmm9,%xmm9 + vpxor %xmm11,%xmm10,%xmm10 + vpclmulqdq $0x00,%xmm15,%xmm2,%xmm2 + vpxor %xmm1,%xmm2,%xmm2 + + vpclmulqdq $0x00,%xmm0,%xmm8,%xmm5 + vpclmulqdq $0x11,%xmm0,%xmm8,%xmm7 + vpxor %xmm4,%xmm5,%xmm5 + vpclmulqdq $0x10,%xmm15,%xmm9,%xmm6 + vpxor %xmm10,%xmm7,%xmm7 + vpxor %xmm2,%xmm6,%xmm6 + + vpxor %xmm5,%xmm7,%xmm4 + vpxor %xmm4,%xmm6,%xmm6 + vpslldq $8,%xmm6,%xmm1 + vmovdqu 16(%r11),%xmm3 + vpsrldq $8,%xmm6,%xmm6 + vpxor %xmm1,%xmm5,%xmm8 + vpxor %xmm6,%xmm7,%xmm7 + + vpalignr $8,%xmm8,%xmm8,%xmm2 + vpclmulqdq $0x10,%xmm3,%xmm8,%xmm8 + vpxor %xmm2,%xmm8,%xmm8 + + vpalignr $8,%xmm8,%xmm8,%xmm2 + vpclmulqdq $0x10,%xmm3,%xmm8,%xmm8 + vpxor %xmm7,%xmm2,%xmm2 + vpxor %xmm2,%xmm8,%xmm8 + vpshufb (%r11),%xmm8,%xmm8 + vmovdqu %xmm8,-64(%r9) + + vzeroupper + movaps -208(%rbp),%xmm6 + movaps -192(%rbp),%xmm7 + movaps -176(%rbp),%xmm8 + movaps -160(%rbp),%xmm9 + movaps -144(%rbp),%xmm10 + movaps -128(%rbp),%xmm11 + movaps -112(%rbp),%xmm12 + movaps -96(%rbp),%xmm13 + movaps -80(%rbp),%xmm14 + movaps -64(%rbp),%xmm15 + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp + +.Lgcm_enc_abort: + popq %rbp + +.LSEH_epilogue_crypton_gcm_asm_encrypt: + mov 8(%rsp),%rdi + mov 16(%rsp),%rsi + + .byte 0xf3,0xc3 + +.LSEH_end_crypton_gcm_asm_encrypt: +.p2align 6 +.Lbswap_mask: +.byte 15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,0 +.Lpoly: +.byte 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xc2 +.Lone_msb: +.byte 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1 +.Ltwo_lsb: +.byte 2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 +.Lone_lsb: +.byte 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 +.byte 65,69,83,45,78,73,32,71,67,77,32,109,111,100,117,108,101,32,102,111,114,32,120,56,54,95,54,52,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,60,97,112,112,114,111,64,111,112,101,110,115,115,108,46,111,114,103,62,0 +.p2align 6 +.section .pdata +.p2align 2 +.rva .LSEH_begin_crypton_gcm_asm_decrypt +.rva .LSEH_body_crypton_gcm_asm_decrypt +.rva .LSEH_info_crypton_gcm_asm_decrypt_prologue + +.rva .LSEH_body_crypton_gcm_asm_decrypt +.rva .LSEH_epilogue_crypton_gcm_asm_decrypt +.rva .LSEH_info_crypton_gcm_asm_decrypt_body + +.rva .LSEH_epilogue_crypton_gcm_asm_decrypt +.rva .LSEH_end_crypton_gcm_asm_decrypt +.rva .LSEH_info_crypton_gcm_asm_decrypt_epilogue + +.rva .LSEH_begin_crypton_gcm_asm_encrypt +.rva .LSEH_body_crypton_gcm_asm_encrypt +.rva .LSEH_info_crypton_gcm_asm_encrypt_prologue + +.rva .LSEH_body_crypton_gcm_asm_encrypt +.rva .LSEH_epilogue_crypton_gcm_asm_encrypt +.rva .LSEH_info_crypton_gcm_asm_encrypt_body + +.rva .LSEH_epilogue_crypton_gcm_asm_encrypt +.rva .LSEH_end_crypton_gcm_asm_encrypt +.rva .LSEH_info_crypton_gcm_asm_encrypt_epilogue + +.section .xdata +.p2align 3 +.LSEH_info_crypton_gcm_asm_decrypt_prologue: +.byte 1,4,6,0x05 +.byte 4,0x74,2,0 +.byte 4,0x64,3,0 +.byte 4,0x53 +.byte 1,0x50 +.long 0,0 +.LSEH_info_crypton_gcm_asm_decrypt_body: +.byte 1,0,38,213 +.byte 0x00,0x68,0x00,0x00 +.byte 0x00,0x78,0x01,0x00 +.byte 0x00,0x88,0x02,0x00 +.byte 0x00,0x98,0x03,0x00 +.byte 0x00,0xa8,0x04,0x00 +.byte 0x00,0xb8,0x05,0x00 +.byte 0x00,0xc8,0x06,0x00 +.byte 0x00,0xd8,0x07,0x00 +.byte 0x00,0xe8,0x08,0x00 +.byte 0x00,0xf8,0x09,0x00 +.byte 0x00,0xf4,0x15,0x00 +.byte 0x00,0xe4,0x16,0x00 +.byte 0x00,0xd4,0x17,0x00 +.byte 0x00,0xc4,0x18,0x00 +.byte 0x00,0x34,0x19,0x00 +.byte 0x00,0x74,0x1c,0x00 +.byte 0x00,0x64,0x1d,0x00 +.byte 0x00,0x53 +.byte 0x00,0x01,0x1a,0x00 +.byte 0x00,0x50 +.byte 0x00,0x00,0x00,0x00 +.byte 0x00,0x00,0x00,0x00 +.LSEH_info_crypton_gcm_asm_decrypt_epilogue: +.byte 1,0,4,0 +.byte 0x00,0x74,0x01,0x00 +.byte 0x00,0x64,0x02,0x00 +.byte 0x00,0x00,0x00,0x00 + +.LSEH_info_crypton_gcm_asm_encrypt_prologue: +.byte 1,4,6,0x05 +.byte 4,0x74,2,0 +.byte 4,0x64,3,0 +.byte 4,0x53 +.byte 1,0x50 +.long 0,0 +.LSEH_info_crypton_gcm_asm_encrypt_body: +.byte 1,0,38,213 +.byte 0x00,0x68,0x00,0x00 +.byte 0x00,0x78,0x01,0x00 +.byte 0x00,0x88,0x02,0x00 +.byte 0x00,0x98,0x03,0x00 +.byte 0x00,0xa8,0x04,0x00 +.byte 0x00,0xb8,0x05,0x00 +.byte 0x00,0xc8,0x06,0x00 +.byte 0x00,0xd8,0x07,0x00 +.byte 0x00,0xe8,0x08,0x00 +.byte 0x00,0xf8,0x09,0x00 +.byte 0x00,0xf4,0x15,0x00 +.byte 0x00,0xe4,0x16,0x00 +.byte 0x00,0xd4,0x17,0x00 +.byte 0x00,0xc4,0x18,0x00 +.byte 0x00,0x34,0x19,0x00 +.byte 0x00,0x74,0x1c,0x00 +.byte 0x00,0x64,0x1d,0x00 +.byte 0x00,0x53 +.byte 0x00,0x01,0x1a,0x00 +.byte 0x00,0x50 +.byte 0x00,0x00,0x00,0x00 +.byte 0x00,0x00,0x00,0x00 +.LSEH_info_crypton_gcm_asm_encrypt_epilogue: +.byte 1,0,4,0 +.byte 0x00,0x74,0x01,0x00 +.byte 0x00,0x64,0x02,0x00 +.byte 0x00,0x00,0x00,0x00 + diff --git a/cbits/asm/aesni-gcm-x86_64.pl b/cbits/asm/aesni-gcm-x86_64.pl new file mode 100644 --- /dev/null +++ b/cbits/asm/aesni-gcm-x86_64.pl @@ -0,0 +1,974 @@ +#! /usr/bin/env perl +# +# ==================================================================== +# Written by Andy Polyakov for the OpenSSL +# project. The module is, however, dual licensed under OpenSSL and +# CRYPTOGAMS licenses depending on where you obtain it. For further +# details see http://www.openssl.org/~appro/cryptogams/. +# ==================================================================== +# +# +# AES-NI-CTR+GHASH stitch. +# +# February 2013 +# +# OpenSSL GCM implementation is organized in such way that its +# performance is rather close to the sum of its streamed components, +# in the context parallelized AES-NI CTR and modulo-scheduled +# PCLMULQDQ-enabled GHASH. Unfortunately, as no stitch implementation +# was observed to perform significantly better than the sum of the +# components on contemporary CPUs, the effort was deemed impossible to +# justify. This module is based on combination of Intel submissions, +# [1] and [2], with MOVBE twist suggested by Ilya Albrekht and Max +# Locktyukhin of Intel Corp. who verified that it reduces shuffles +# pressure with notable relative improvement, achieving 1.0 cycle per +# byte processed with 128-bit key on Haswell processor, 0.74 - on +# Broadwell, 0.63 - on Skylake... [Mentioned results are raw profiled +# measurements for favourable packet size, one divisible by 96. +# Applications using the EVP interface will observe a few percent +# worse performance.] +# +# Knights Landing processes 1 byte in 1.25 cycles (measured with EVP). +# +# [1] http://rt.openssl.org/Ticket/Display.html?id=2900&user=guest&pass=guest +# [2] http://www.intel.com/content/dam/www/public/us/en/documents/software-support/enabling-high-performance-gcm.pdf + +$flavour = shift; +$output = shift; +if ($flavour =~ /\./) { $output = $flavour; undef $flavour; } + +$win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/); + +$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; +( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or +( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or +die "can't locate x86_64-xlate.pl"; + +$ENV{CC} //= "cc"; +if (`$ENV{CC} -Wa,-v -c -o /dev/null -x assembler /dev/null 2>&1` + =~ /GNU assembler version ([2-9]\.[0-9]+)/) { + $avx = ($1>=2.20) + ($1>=2.22); +} + +if (!$avx && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) && + `nasm -v 2>&1` =~ /NASM version ([2-9]\.[0-9]+)/) { + $avx = ($1>=2.09) + ($1>=2.10); +} + +if (!$avx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) && + `ml64 2>&1` =~ /Version ([0-9]+)\./) { + $avx = ($1>=10) + ($1>=11); +} + +if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|.*based on LLVM) ([0-9]+\.[0-9]+)/) { + $avx = ($2>=3.0) + ($2>3.0); +} + +open OUT,"| \"$^X\" \"$xlate\" $flavour \"$output\""; +*STDOUT=*OUT; + +if ($avx>1) {{{ + +($inp,$out,$len,$key,$ivp,$Xip)=("%rdi","%rsi","%rdx","%rcx","%r8","%r9"); + +($Ii,$T1,$T2,$Hkey, + $Z0,$Z1,$Z2,$Z3,$Xi) = map("%xmm$_",(0..8)); + +($inout0,$inout1,$inout2,$inout3,$inout4,$inout5,$rndkey) = map("%xmm$_",(9..15)); + +($counter,$rounds,$ret,$const,$in0,$end0)=("%ebx","%r10d","%rax","%r11","%r14","%r15"); + +$code=<<___; +.text + +.type _aesni_ctr32_ghash_6x,\@abi-omnipotent +.align 32 +_aesni_ctr32_ghash_6x: +.cfi_startproc + vmovdqu 0x20($const),$T2 # borrow $T2, .Lone_msb + sub \$6,$len + vpxor $Z0,$Z0,$Z0 # $Z0 = 0 + vmovdqu 0x00-0x80($key),$rndkey + vpaddb $T2,$T1,$inout1 + vpaddb $T2,$inout1,$inout2 + vpaddb $T2,$inout2,$inout3 + vpaddb $T2,$inout3,$inout4 + vpaddb $T2,$inout4,$inout5 + vpxor $rndkey,$T1,$inout0 + vmovdqu $Z0,16+8(%rsp) # "$Z3" = 0 + jmp .Loop6x + +.align 32 +.Loop6x: + add \$`6<<24`,$counter + jc .Lhandle_ctr32 # discard $inout[1-5]? + vmovdqu 0x00-0x20($Xip),$Hkey # $Hkey^1 + vpaddb $T2,$inout5,$T1 # next counter value + vpxor $rndkey,$inout1,$inout1 + vpxor $rndkey,$inout2,$inout2 + +.Lresume_ctr32: + vmovdqu $T1,($ivp) # save next counter value + vpclmulqdq \$0x10,$Hkey,$Z3,$Z1 + vpxor $rndkey,$inout3,$inout3 + vmovups 0x10-0x80($key),$T2 # borrow $T2 for $rndkey + vpclmulqdq \$0x01,$Hkey,$Z3,$Z2 + xor %r12,%r12 + cmp $in0,$end0 + + vaesenc $T2,$inout0,$inout0 + vmovdqu 0x30+8(%rsp),$Ii # I[4] + vpxor $rndkey,$inout4,$inout4 + vpclmulqdq \$0x00,$Hkey,$Z3,$T1 + vaesenc $T2,$inout1,$inout1 + vpxor $rndkey,$inout5,$inout5 + setnc %r12b + vpclmulqdq \$0x11,$Hkey,$Z3,$Z3 + vaesenc $T2,$inout2,$inout2 + vmovdqu 0x10-0x20($Xip),$Hkey # $Hkey^2 + neg %r12 + vaesenc $T2,$inout3,$inout3 + vpxor $Z1,$Z2,$Z2 + vpclmulqdq \$0x00,$Hkey,$Ii,$Z1 + vpxor $Z0,$Xi,$Xi # modulo-scheduled + vaesenc $T2,$inout4,$inout4 + vpxor $Z1,$T1,$Z0 + and \$0x60,%r12 + vmovups 0x20-0x80($key),$rndkey + vpclmulqdq \$0x10,$Hkey,$Ii,$T1 + vaesenc $T2,$inout5,$inout5 + + vpclmulqdq \$0x01,$Hkey,$Ii,$T2 + lea ($in0,%r12),$in0 + vaesenc $rndkey,$inout0,$inout0 + vpxor 16+8(%rsp),$Xi,$Xi # modulo-scheduled [vpxor $Z3,$Xi,$Xi] + vpclmulqdq \$0x11,$Hkey,$Ii,$Hkey + vmovdqu 0x40+8(%rsp),$Ii # I[3] + vaesenc $rndkey,$inout1,$inout1 + movbe 0x58($in0),%r13 + vaesenc $rndkey,$inout2,$inout2 + movbe 0x50($in0),%r12 + vaesenc $rndkey,$inout3,$inout3 + mov %r13,0x20+8(%rsp) + vaesenc $rndkey,$inout4,$inout4 + mov %r12,0x28+8(%rsp) + vmovdqu 0x30-0x20($Xip),$Z1 # borrow $Z1 for $Hkey^3 + vaesenc $rndkey,$inout5,$inout5 + + vmovups 0x30-0x80($key),$rndkey + vpxor $T1,$Z2,$Z2 + vpclmulqdq \$0x00,$Z1,$Ii,$T1 + vaesenc $rndkey,$inout0,$inout0 + vpxor $T2,$Z2,$Z2 + vpclmulqdq \$0x10,$Z1,$Ii,$T2 + vaesenc $rndkey,$inout1,$inout1 + vpxor $Hkey,$Z3,$Z3 + vpclmulqdq \$0x01,$Z1,$Ii,$Hkey + vaesenc $rndkey,$inout2,$inout2 + vpclmulqdq \$0x11,$Z1,$Ii,$Z1 + vmovdqu 0x50+8(%rsp),$Ii # I[2] + vaesenc $rndkey,$inout3,$inout3 + vaesenc $rndkey,$inout4,$inout4 + vpxor $T1,$Z0,$Z0 + vmovdqu 0x40-0x20($Xip),$T1 # borrow $T1 for $Hkey^4 + vaesenc $rndkey,$inout5,$inout5 + + vmovups 0x40-0x80($key),$rndkey + vpxor $T2,$Z2,$Z2 + vpclmulqdq \$0x00,$T1,$Ii,$T2 + vaesenc $rndkey,$inout0,$inout0 + vpxor $Hkey,$Z2,$Z2 + vpclmulqdq \$0x10,$T1,$Ii,$Hkey + vaesenc $rndkey,$inout1,$inout1 + movbe 0x48($in0),%r13 + vpxor $Z1,$Z3,$Z3 + vpclmulqdq \$0x01,$T1,$Ii,$Z1 + vaesenc $rndkey,$inout2,$inout2 + movbe 0x40($in0),%r12 + vpclmulqdq \$0x11,$T1,$Ii,$T1 + vmovdqu 0x60+8(%rsp),$Ii # I[1] + vaesenc $rndkey,$inout3,$inout3 + mov %r13,0x30+8(%rsp) + vaesenc $rndkey,$inout4,$inout4 + mov %r12,0x38+8(%rsp) + vpxor $T2,$Z0,$Z0 + vmovdqu 0x60-0x20($Xip),$T2 # borrow $T2 for $Hkey^5 + vaesenc $rndkey,$inout5,$inout5 + + vmovups 0x50-0x80($key),$rndkey + vpxor $Hkey,$Z2,$Z2 + vpclmulqdq \$0x00,$T2,$Ii,$Hkey + vaesenc $rndkey,$inout0,$inout0 + vpxor $Z1,$Z2,$Z2 + vpclmulqdq \$0x10,$T2,$Ii,$Z1 + vaesenc $rndkey,$inout1,$inout1 + movbe 0x38($in0),%r13 + vpxor $T1,$Z3,$Z3 + vpclmulqdq \$0x01,$T2,$Ii,$T1 + vpxor 0x70+8(%rsp),$Xi,$Xi # accumulate I[0] + vaesenc $rndkey,$inout2,$inout2 + movbe 0x30($in0),%r12 + vpclmulqdq \$0x11,$T2,$Ii,$T2 + vaesenc $rndkey,$inout3,$inout3 + mov %r13,0x40+8(%rsp) + vaesenc $rndkey,$inout4,$inout4 + mov %r12,0x48+8(%rsp) + vpxor $Hkey,$Z0,$Z0 + vmovdqu 0x70-0x20($Xip),$Hkey # $Hkey^6 + vaesenc $rndkey,$inout5,$inout5 + + vmovups 0x60-0x80($key),$rndkey + vpxor $Z1,$Z2,$Z2 + vpclmulqdq \$0x10,$Hkey,$Xi,$Z1 + vaesenc $rndkey,$inout0,$inout0 + vpxor $T1,$Z2,$Z2 + vpclmulqdq \$0x01,$Hkey,$Xi,$T1 + vaesenc $rndkey,$inout1,$inout1 + movbe 0x28($in0),%r13 + vpxor $T2,$Z3,$Z3 + vpclmulqdq \$0x00,$Hkey,$Xi,$T2 + vaesenc $rndkey,$inout2,$inout2 + movbe 0x20($in0),%r12 + vpclmulqdq \$0x11,$Hkey,$Xi,$Xi + vaesenc $rndkey,$inout3,$inout3 + mov %r13,0x50+8(%rsp) + vaesenc $rndkey,$inout4,$inout4 + mov %r12,0x58+8(%rsp) + vpxor $Z1,$Z2,$Z2 + vaesenc $rndkey,$inout5,$inout5 + vpxor $T1,$Z2,$Z2 + + vmovups 0x70-0x80($key),$rndkey + vpslldq \$8,$Z2,$Z1 + vpxor $T2,$Z0,$Z0 + vmovdqu 0x10($const),$Hkey # .Lpoly + + vaesenc $rndkey,$inout0,$inout0 + vpxor $Xi,$Z3,$Z3 + vaesenc $rndkey,$inout1,$inout1 + vpxor $Z1,$Z0,$Z0 + movbe 0x18($in0),%r13 + vaesenc $rndkey,$inout2,$inout2 + movbe 0x10($in0),%r12 + vpalignr \$8,$Z0,$Z0,$Ii # 1st phase + vpclmulqdq \$0x10,$Hkey,$Z0,$Z0 + mov %r13,0x60+8(%rsp) + vaesenc $rndkey,$inout3,$inout3 + mov %r12,0x68+8(%rsp) + vaesenc $rndkey,$inout4,$inout4 + vmovups 0x80-0x80($key),$T1 # borrow $T1 for $rndkey + vaesenc $rndkey,$inout5,$inout5 + + vaesenc $T1,$inout0,$inout0 + vmovups 0x90-0x80($key),$rndkey + vaesenc $T1,$inout1,$inout1 + vpsrldq \$8,$Z2,$Z2 + vaesenc $T1,$inout2,$inout2 + vpxor $Z2,$Z3,$Z3 + vaesenc $T1,$inout3,$inout3 + vpxor $Ii,$Z0,$Z0 + movbe 0x08($in0),%r13 + vaesenc $T1,$inout4,$inout4 + movbe 0x00($in0),%r12 + vaesenc $T1,$inout5,$inout5 + vmovups 0xa0-0x80($key),$T1 + cmp \$11,$rounds + jb .Lenc_tail # 128-bit key + + vaesenc $rndkey,$inout0,$inout0 + vaesenc $rndkey,$inout1,$inout1 + vaesenc $rndkey,$inout2,$inout2 + vaesenc $rndkey,$inout3,$inout3 + vaesenc $rndkey,$inout4,$inout4 + vaesenc $rndkey,$inout5,$inout5 + + vaesenc $T1,$inout0,$inout0 + vaesenc $T1,$inout1,$inout1 + vaesenc $T1,$inout2,$inout2 + vaesenc $T1,$inout3,$inout3 + vaesenc $T1,$inout4,$inout4 + vmovups 0xb0-0x80($key),$rndkey + vaesenc $T1,$inout5,$inout5 + vmovups 0xc0-0x80($key),$T1 + je .Lenc_tail # 192-bit key + + vaesenc $rndkey,$inout0,$inout0 + vaesenc $rndkey,$inout1,$inout1 + vaesenc $rndkey,$inout2,$inout2 + vaesenc $rndkey,$inout3,$inout3 + vaesenc $rndkey,$inout4,$inout4 + vaesenc $rndkey,$inout5,$inout5 + + vaesenc $T1,$inout0,$inout0 + vaesenc $T1,$inout1,$inout1 + vaesenc $T1,$inout2,$inout2 + vaesenc $T1,$inout3,$inout3 + vaesenc $T1,$inout4,$inout4 + vmovups 0xd0-0x80($key),$rndkey + vaesenc $T1,$inout5,$inout5 + vmovups 0xe0-0x80($key),$T1 + jmp .Lenc_tail # 256-bit key + +.align 32 +.Lhandle_ctr32: + vmovdqu ($const),$Ii # borrow $Ii for .Lbswap_mask + vpshufb $Ii,$T1,$Z2 # byte-swap counter + vmovdqu 0x30($const),$Z1 # borrow $Z1, .Ltwo_lsb + vpaddd 0x40($const),$Z2,$inout1 # .Lone_lsb + vpaddd $Z1,$Z2,$inout2 + vmovdqu 0x00-0x20($Xip),$Hkey # $Hkey^1 + vpaddd $Z1,$inout1,$inout3 + vpshufb $Ii,$inout1,$inout1 + vpaddd $Z1,$inout2,$inout4 + vpshufb $Ii,$inout2,$inout2 + vpxor $rndkey,$inout1,$inout1 + vpaddd $Z1,$inout3,$inout5 + vpshufb $Ii,$inout3,$inout3 + vpxor $rndkey,$inout2,$inout2 + vpaddd $Z1,$inout4,$T1 # byte-swapped next counter value + vpshufb $Ii,$inout4,$inout4 + vpshufb $Ii,$inout5,$inout5 + vpshufb $Ii,$T1,$T1 # next counter value + jmp .Lresume_ctr32 + +.align 32 +.Lenc_tail: + vaesenc $rndkey,$inout0,$inout0 + vmovdqu $Z3,16+8(%rsp) # postpone vpxor $Z3,$Xi,$Xi + vpalignr \$8,$Z0,$Z0,$Xi # 2nd phase + vaesenc $rndkey,$inout1,$inout1 + vpclmulqdq \$0x10,$Hkey,$Z0,$Z0 + vpxor 0x00($inp),$T1,$T2 + vaesenc $rndkey,$inout2,$inout2 + vpxor 0x10($inp),$T1,$Ii + vaesenc $rndkey,$inout3,$inout3 + vpxor 0x20($inp),$T1,$Z1 + vaesenc $rndkey,$inout4,$inout4 + vpxor 0x30($inp),$T1,$Z2 + vaesenc $rndkey,$inout5,$inout5 + vpxor 0x40($inp),$T1,$Z3 + vpxor 0x50($inp),$T1,$Hkey + vmovdqu ($ivp),$T1 # load next counter value + + vaesenclast $T2,$inout0,$inout0 + vmovdqu 0x20($const),$T2 # borrow $T2, .Lone_msb + vaesenclast $Ii,$inout1,$inout1 + vpaddb $T2,$T1,$Ii + mov %r13,0x70+8(%rsp) + lea 0x60($inp),$inp + vaesenclast $Z1,$inout2,$inout2 + vpaddb $T2,$Ii,$Z1 + mov %r12,0x78+8(%rsp) + lea 0x60($out),$out + vmovdqu 0x00-0x80($key),$rndkey + vaesenclast $Z2,$inout3,$inout3 + vpaddb $T2,$Z1,$Z2 + vaesenclast $Z3, $inout4,$inout4 + vpaddb $T2,$Z2,$Z3 + vaesenclast $Hkey,$inout5,$inout5 + vpaddb $T2,$Z3,$Hkey + + add \$0x60,$ret + sub \$0x6,$len + jc .L6x_done + + vmovups $inout0,-0x60($out) # save output + vpxor $rndkey,$T1,$inout0 + vmovups $inout1,-0x50($out) + vmovdqa $Ii,$inout1 # 0 latency + vmovups $inout2,-0x40($out) + vmovdqa $Z1,$inout2 # 0 latency + vmovups $inout3,-0x30($out) + vmovdqa $Z2,$inout3 # 0 latency + vmovups $inout4,-0x20($out) + vmovdqa $Z3,$inout4 # 0 latency + vmovups $inout5,-0x10($out) + vmovdqa $Hkey,$inout5 # 0 latency + vmovdqu 0x20+8(%rsp),$Z3 # I[5] + jmp .Loop6x + +.L6x_done: + vpxor 16+8(%rsp),$Xi,$Xi # modulo-scheduled + vpxor $Z0,$Xi,$Xi # modulo-scheduled + + ret +.cfi_endproc +.size _aesni_ctr32_ghash_6x,.-_aesni_ctr32_ghash_6x +___ +###################################################################### +# +# size_t aesni_gcm_[en|de]crypt(const void *inp, void *out, size_t len, +# const AES_KEY *key, unsigned char iv[16], +# struct { u128 Xi,H,Htbl[9]; } *Xip); +$code.=<<___; +.globl aesni_gcm_decrypt +.type aesni_gcm_decrypt,\@function,6,"unwind" +.align 32 +aesni_gcm_decrypt: +.cfi_startproc + push %rbp +.cfi_push %rbp + mov %rsp,%rbp +.cfi_def_cfa_register %rbp + xor $ret,$ret + cmp \$0x60,$len # minimal accepted length + jb .Lgcm_dec_abort + + push %rbx +.cfi_push %rbx + push %r12 +.cfi_push %r12 + push %r13 +.cfi_push %r13 + push %r14 +.cfi_push %r14 + push %r15 +.cfi_push %r15 +___ +$code.=<<___ if ($win64); + lea -0xa8(%rsp),%rsp +.cfi_alloca 0xa8 + movaps %xmm6,-0xd0(%rbp) + movaps %xmm7,-0xc0(%rbp) + movaps %xmm8,-0xb0(%rbp) + movaps %xmm9,-0xa0(%rbp) + movaps %xmm10,-0x90(%rbp) + movaps %xmm11,-0x80(%rbp) + movaps %xmm12,-0x70(%rbp) + movaps %xmm13,-0x60(%rbp) + movaps %xmm14,-0x50(%rbp) + movaps %xmm15,-0x40(%rbp) +.cfi_offset %xmm6-%xmm15,-0xe0 +___ +$code.=<<___; +.cfi_end_prologue + vzeroupper + + vmovdqu ($ivp),$T1 # input counter value + add \$-128,%rsp + mov 12($ivp),$counter + lea .Lbswap_mask(%rip),$const + lea -0x80($key),$in0 # borrow $in0 + mov \$0xf80,$end0 # borrow $end0 + vmovdqu ($Xip),$Xi # load Xi + and \$-128,%rsp # ensure stack alignment + vmovdqu ($const),$Ii # borrow $Ii for .Lbswap_mask + lea 0x80($key),$key # size optimization + lea 0x20+0x20($Xip),$Xip # size optimization + mov 0xf0-0x80($key),$rounds + vpshufb $Ii,$Xi,$Xi + + and $end0,$in0 + and %rsp,$end0 + sub $in0,$end0 + jc .Ldec_no_key_aliasing + cmp \$768,$end0 + jnc .Ldec_no_key_aliasing + sub $end0,%rsp # avoid aliasing with key +.Ldec_no_key_aliasing: + + vmovdqu 0x50($inp),$Z3 # I[5] + lea ($inp),$in0 + vmovdqu 0x40($inp),$Z0 + lea -0xc0($inp,$len),$end0 + vmovdqu 0x30($inp),$Z1 + shr \$4,$len + xor $ret,$ret + vmovdqu 0x20($inp),$Z2 + vpshufb $Ii,$Z3,$Z3 # passed to _aesni_ctr32_ghash_6x + vmovdqu 0x10($inp),$T2 + vpshufb $Ii,$Z0,$Z0 + vmovdqu ($inp),$Hkey + vpshufb $Ii,$Z1,$Z1 + vmovdqu $Z0,0x30(%rsp) + vpshufb $Ii,$Z2,$Z2 + vmovdqu $Z1,0x40(%rsp) + vpshufb $Ii,$T2,$T2 + vmovdqu $Z2,0x50(%rsp) + vpshufb $Ii,$Hkey,$Hkey + vmovdqu $T2,0x60(%rsp) + vmovdqu $Hkey,0x70(%rsp) + + call _aesni_ctr32_ghash_6x + + vmovups $inout0,-0x60($out) # save output + vmovups $inout1,-0x50($out) + vmovups $inout2,-0x40($out) + vmovups $inout3,-0x30($out) + vmovups $inout4,-0x20($out) + vmovups $inout5,-0x10($out) + + vpshufb ($const),$Xi,$Xi # .Lbswap_mask + vmovdqu $Xi,-0x40($Xip) # output Xi + + vzeroupper +___ +$code.=<<___ if ($win64); + movaps -0xd0(%rbp),%xmm6 + movaps -0xc0(%rbp),%xmm7 + movaps -0xb0(%rbp),%xmm8 + movaps -0xa0(%rbp),%xmm9 + movaps -0x90(%rbp),%xmm10 + movaps -0x80(%rbp),%xmm11 + movaps -0x70(%rbp),%xmm12 + movaps -0x60(%rbp),%xmm13 + movaps -0x50(%rbp),%xmm14 + movaps -0x40(%rbp),%xmm15 +___ +$code.=<<___; + mov -0x28(%rbp),%r15 + mov -0x20(%rbp),%r14 + mov -0x18(%rbp),%r13 + mov -0x10(%rbp),%r12 + mov -0x08(%rbp),%rbx + mov %rbp,%rsp # restore %rsp +.cfi_def_cfa_register %rsp +.Lgcm_dec_abort: + pop %rbp +.cfi_pop %rbp +.cfi_epilogue + ret +.cfi_endproc +.size aesni_gcm_decrypt,.-aesni_gcm_decrypt +___ + +$code.=<<___; +.type _aesni_ctr32_6x,\@abi-omnipotent +.align 32 +_aesni_ctr32_6x: +.cfi_startproc + vmovdqu 0x00-0x80($key),$Z0 # borrow $Z0 for $rndkey + vmovdqu 0x20($const),$T2 # borrow $T2, .Lone_msb + lea -1($rounds),%r13 + vmovups 0x10-0x80($key),$rndkey + lea 0x20-0x80($key),%r12 + vpxor $Z0,$T1,$inout0 + add \$`6<<24`,$counter + jc .Lhandle_ctr32_2 + vpaddb $T2,$T1,$inout1 + vpaddb $T2,$inout1,$inout2 + vpxor $Z0,$inout1,$inout1 + vpaddb $T2,$inout2,$inout3 + vpxor $Z0,$inout2,$inout2 + vpaddb $T2,$inout3,$inout4 + vpxor $Z0,$inout3,$inout3 + vpaddb $T2,$inout4,$inout5 + vpxor $Z0,$inout4,$inout4 + vpaddb $T2,$inout5,$T1 + vpxor $Z0,$inout5,$inout5 + jmp .Loop_ctr32 + +.align 16 +.Loop_ctr32: + vaesenc $rndkey,$inout0,$inout0 + vaesenc $rndkey,$inout1,$inout1 + vaesenc $rndkey,$inout2,$inout2 + vaesenc $rndkey,$inout3,$inout3 + vaesenc $rndkey,$inout4,$inout4 + vaesenc $rndkey,$inout5,$inout5 + vmovups (%r12),$rndkey + lea 0x10(%r12),%r12 + dec %r13d + jnz .Loop_ctr32 + + vmovdqu (%r12),$Hkey # last round key + vaesenc $rndkey,$inout0,$inout0 + vpxor 0x00($inp),$Hkey,$Z0 + vaesenc $rndkey,$inout1,$inout1 + vpxor 0x10($inp),$Hkey,$Z1 + vaesenc $rndkey,$inout2,$inout2 + vpxor 0x20($inp),$Hkey,$Z2 + vaesenc $rndkey,$inout3,$inout3 + vpxor 0x30($inp),$Hkey,$Xi + vaesenc $rndkey,$inout4,$inout4 + vpxor 0x40($inp),$Hkey,$T2 + vaesenc $rndkey,$inout5,$inout5 + vpxor 0x50($inp),$Hkey,$Hkey + lea 0x60($inp),$inp + + vaesenclast $Z0,$inout0,$inout0 + vaesenclast $Z1,$inout1,$inout1 + vaesenclast $Z2,$inout2,$inout2 + vaesenclast $Xi,$inout3,$inout3 + vaesenclast $T2,$inout4,$inout4 + vaesenclast $Hkey,$inout5,$inout5 + vmovups $inout0,0x00($out) + vmovups $inout1,0x10($out) + vmovups $inout2,0x20($out) + vmovups $inout3,0x30($out) + vmovups $inout4,0x40($out) + vmovups $inout5,0x50($out) + lea 0x60($out),$out + + ret +.align 32 +.Lhandle_ctr32_2: + vpshufb $Ii,$T1,$Z2 # byte-swap counter + vmovdqu 0x30($const),$Z1 # borrow $Z1, .Ltwo_lsb + vpaddd 0x40($const),$Z2,$inout1 # .Lone_lsb + vpaddd $Z1,$Z2,$inout2 + vpaddd $Z1,$inout1,$inout3 + vpshufb $Ii,$inout1,$inout1 + vpaddd $Z1,$inout2,$inout4 + vpshufb $Ii,$inout2,$inout2 + vpxor $Z0,$inout1,$inout1 + vpaddd $Z1,$inout3,$inout5 + vpshufb $Ii,$inout3,$inout3 + vpxor $Z0,$inout2,$inout2 + vpaddd $Z1,$inout4,$T1 # byte-swapped next counter value + vpshufb $Ii,$inout4,$inout4 + vpxor $Z0,$inout3,$inout3 + vpshufb $Ii,$inout5,$inout5 + vpxor $Z0,$inout4,$inout4 + vpshufb $Ii,$T1,$T1 # next counter value + vpxor $Z0,$inout5,$inout5 + jmp .Loop_ctr32 +.cfi_endproc +.size _aesni_ctr32_6x,.-_aesni_ctr32_6x + +.globl aesni_gcm_encrypt +.type aesni_gcm_encrypt,\@function,6,"unwind" +.align 32 +aesni_gcm_encrypt: +.cfi_startproc + push %rbp +.cfi_push %rbp + mov %rsp,%rbp +.cfi_def_cfa_register %rbp + xor $ret,$ret + cmp \$0x60*3,$len # minimal accepted length + jb .Lgcm_enc_abort + + push %rbx +.cfi_push %rbx + push %r12 +.cfi_push %r12 + push %r13 +.cfi_push %r13 + push %r14 +.cfi_push %r14 + push %r15 +.cfi_push %r15 +___ +$code.=<<___ if ($win64); + lea -0xa8(%rsp),%rsp +.cfi_alloca 0xa8 + movaps %xmm6,-0xd0(%rbp) + movaps %xmm7,-0xc0(%rbp) + movaps %xmm8,-0xb0(%rbp) + movaps %xmm9,-0xa0(%rbp) + movaps %xmm10,-0x90(%rbp) + movaps %xmm11,-0x80(%rbp) + movaps %xmm12,-0x70(%rbp) + movaps %xmm13,-0x60(%rbp) + movaps %xmm14,-0x50(%rbp) + movaps %xmm15,-0x40(%rbp) +.cfi_offset %xmm6-%xmm15,-0xe0 +___ +$code.=<<___; +.cfi_end_prologue + vzeroupper + + vmovdqu ($ivp),$T1 # input counter value + add \$-128,%rsp + mov 12($ivp),$counter + lea .Lbswap_mask(%rip),$const + lea -0x80($key),$in0 # borrow $in0 + mov \$0xf80,$end0 # borrow $end0 + lea 0x80($key),$key # size optimization + vmovdqu ($const),$Ii # borrow $Ii for .Lbswap_mask + and \$-128,%rsp # ensure stack alignment + mov 0xf0-0x80($key),$rounds + + and $end0,$in0 + and %rsp,$end0 + sub $in0,$end0 + jc .Lenc_no_key_aliasing + cmp \$768,$end0 + jnc .Lenc_no_key_aliasing + sub $end0,%rsp # avoid aliasing with key +.Lenc_no_key_aliasing: + + lea ($out),$in0 + lea -0xc0($out,$len),$end0 + shr \$4,$len + + call _aesni_ctr32_6x + vpshufb $Ii,$inout0,$Xi # save bswapped output on stack + vpshufb $Ii,$inout1,$T2 + vmovdqu $Xi,0x70(%rsp) + vpshufb $Ii,$inout2,$Z0 + vmovdqu $T2,0x60(%rsp) + vpshufb $Ii,$inout3,$Z1 + vmovdqu $Z0,0x50(%rsp) + vpshufb $Ii,$inout4,$Z2 + vmovdqu $Z1,0x40(%rsp) + vpshufb $Ii,$inout5,$Z3 # passed to _aesni_ctr32_ghash_6x + vmovdqu $Z2,0x30(%rsp) + + call _aesni_ctr32_6x + + vmovdqu ($Xip),$Xi # load Xi + lea 0x20+0x20($Xip),$Xip # size optimization + sub \$12,$len + mov \$0x60*2,$ret + vpshufb $Ii,$Xi,$Xi + + call _aesni_ctr32_ghash_6x + vmovdqu 0x20(%rsp),$Z3 # I[5] + vmovdqu ($const),$Ii # borrow $Ii for .Lbswap_mask + vmovdqu 0x00-0x20($Xip),$Hkey # $Hkey^1 + vpunpckhqdq $Z3,$Z3,$T1 + vmovdqu 0x20-0x20($Xip),$rndkey # borrow $rndkey for $HK + vmovups $inout0,-0x60($out) # save output + vpshufb $Ii,$inout0,$inout0 # but keep bswapped copy + vpxor $Z3,$T1,$T1 + vmovups $inout1,-0x50($out) + vpshufb $Ii,$inout1,$inout1 + vmovups $inout2,-0x40($out) + vpshufb $Ii,$inout2,$inout2 + vmovups $inout3,-0x30($out) + vpshufb $Ii,$inout3,$inout3 + vmovups $inout4,-0x20($out) + vpshufb $Ii,$inout4,$inout4 + vmovups $inout5,-0x10($out) + vpshufb $Ii,$inout5,$inout5 + vmovdqu $inout0,0x10(%rsp) # free $inout0 +___ +{ my ($HK,$T3)=($rndkey,$inout0); + +$code.=<<___; + vmovdqu 0x30(%rsp),$Z2 # I[4] + vmovdqu 0x10-0x20($Xip),$Ii # borrow $Ii for $Hkey^2 + vpunpckhqdq $Z2,$Z2,$T2 + vpclmulqdq \$0x00,$Hkey,$Z3,$Z1 + vpxor $Z2,$T2,$T2 + vpclmulqdq \$0x11,$Hkey,$Z3,$Z3 + vpclmulqdq \$0x00,$HK,$T1,$T1 + + vmovdqu 0x40(%rsp),$T3 # I[3] + vpclmulqdq \$0x00,$Ii,$Z2,$Z0 + vmovdqu 0x30-0x20($Xip),$Hkey # $Hkey^3 + vpxor $Z1,$Z0,$Z0 + vpunpckhqdq $T3,$T3,$Z1 + vpclmulqdq \$0x11,$Ii,$Z2,$Z2 + vpxor $T3,$Z1,$Z1 + vpxor $Z3,$Z2,$Z2 + vpclmulqdq \$0x10,$HK,$T2,$T2 + vmovdqu 0x50-0x20($Xip),$HK + vpxor $T1,$T2,$T2 + + vmovdqu 0x50(%rsp),$T1 # I[2] + vpclmulqdq \$0x00,$Hkey,$T3,$Z3 + vmovdqu 0x40-0x20($Xip),$Ii # borrow $Ii for $Hkey^4 + vpxor $Z0,$Z3,$Z3 + vpunpckhqdq $T1,$T1,$Z0 + vpclmulqdq \$0x11,$Hkey,$T3,$T3 + vpxor $T1,$Z0,$Z0 + vpxor $Z2,$T3,$T3 + vpclmulqdq \$0x00,$HK,$Z1,$Z1 + vpxor $T2,$Z1,$Z1 + + vmovdqu 0x60(%rsp),$T2 # I[1] + vpclmulqdq \$0x00,$Ii,$T1,$Z2 + vmovdqu 0x60-0x20($Xip),$Hkey # $Hkey^5 + vpxor $Z3,$Z2,$Z2 + vpunpckhqdq $T2,$T2,$Z3 + vpclmulqdq \$0x11,$Ii,$T1,$T1 + vpxor $T2,$Z3,$Z3 + vpxor $T3,$T1,$T1 + vpclmulqdq \$0x10,$HK,$Z0,$Z0 + vmovdqu 0x80-0x20($Xip),$HK + vpxor $Z1,$Z0,$Z0 + + vpxor 0x70(%rsp),$Xi,$Xi # accumulate I[0] + vpclmulqdq \$0x00,$Hkey,$T2,$Z1 + vmovdqu 0x70-0x20($Xip),$Ii # borrow $Ii for $Hkey^6 + vpunpckhqdq $Xi,$Xi,$T3 + vpxor $Z2,$Z1,$Z1 + vpclmulqdq \$0x11,$Hkey,$T2,$T2 + vpxor $Xi,$T3,$T3 + vpxor $T1,$T2,$T2 + vpclmulqdq \$0x00,$HK,$Z3,$Z3 + vpxor $Z0,$Z3,$Z0 + + vpclmulqdq \$0x00,$Ii,$Xi,$Z2 + vmovdqu 0x00-0x20($Xip),$Hkey # $Hkey^1 + vpunpckhqdq $inout5,$inout5,$T1 + vpclmulqdq \$0x11,$Ii,$Xi,$Xi + vpxor $inout5,$T1,$T1 + vpxor $Z1,$Z2,$Z1 + vpclmulqdq \$0x10,$HK,$T3,$T3 + vmovdqu 0x20-0x20($Xip),$HK + vpxor $T2,$Xi,$Z3 + vpxor $Z0,$T3,$Z2 + + vmovdqu 0x10-0x20($Xip),$Ii # borrow $Ii for $Hkey^2 + vpxor $Z1,$Z3,$T3 # aggregated Karatsuba post-processing + vpclmulqdq \$0x00,$Hkey,$inout5,$Z0 + vpxor $T3,$Z2,$Z2 + vpunpckhqdq $inout4,$inout4,$T2 + vpclmulqdq \$0x11,$Hkey,$inout5,$inout5 + vpxor $inout4,$T2,$T2 + vpslldq \$8,$Z2,$T3 + vpclmulqdq \$0x00,$HK,$T1,$T1 + vpxor $T3,$Z1,$Xi + vpsrldq \$8,$Z2,$Z2 + vpxor $Z2,$Z3,$Z3 + + vpclmulqdq \$0x00,$Ii,$inout4,$Z1 + vmovdqu 0x30-0x20($Xip),$Hkey # $Hkey^3 + vpxor $Z0,$Z1,$Z1 + vpunpckhqdq $inout3,$inout3,$T3 + vpclmulqdq \$0x11,$Ii,$inout4,$inout4 + vpxor $inout3,$T3,$T3 + vpxor $inout5,$inout4,$inout4 + vpalignr \$8,$Xi,$Xi,$inout5 # 1st phase + vpclmulqdq \$0x10,$HK,$T2,$T2 + vmovdqu 0x50-0x20($Xip),$HK + vpxor $T1,$T2,$T2 + + vpclmulqdq \$0x00,$Hkey,$inout3,$Z0 + vmovdqu 0x40-0x20($Xip),$Ii # borrow $Ii for $Hkey^4 + vpxor $Z1,$Z0,$Z0 + vpunpckhqdq $inout2,$inout2,$T1 + vpclmulqdq \$0x11,$Hkey,$inout3,$inout3 + vpxor $inout2,$T1,$T1 + vpxor $inout4,$inout3,$inout3 + vxorps 0x10(%rsp),$Z3,$Z3 # accumulate $inout0 + vpclmulqdq \$0x00,$HK,$T3,$T3 + vpxor $T2,$T3,$T3 + + vpclmulqdq \$0x10,0x10($const),$Xi,$Xi + vxorps $inout5,$Xi,$Xi + + vpclmulqdq \$0x00,$Ii,$inout2,$Z1 + vmovdqu 0x60-0x20($Xip),$Hkey # $Hkey^5 + vpxor $Z0,$Z1,$Z1 + vpunpckhqdq $inout1,$inout1,$T2 + vpclmulqdq \$0x11,$Ii,$inout2,$inout2 + vpxor $inout1,$T2,$T2 + vpalignr \$8,$Xi,$Xi,$inout5 # 2nd phase + vpxor $inout3,$inout2,$inout2 + vpclmulqdq \$0x10,$HK,$T1,$T1 + vmovdqu 0x80-0x20($Xip),$HK + vpxor $T3,$T1,$T1 + + vxorps $Z3,$inout5,$inout5 + vpclmulqdq \$0x10,0x10($const),$Xi,$Xi + vxorps $inout5,$Xi,$Xi + + vpclmulqdq \$0x00,$Hkey,$inout1,$Z0 + vmovdqu 0x70-0x20($Xip),$Ii # borrow $Ii for $Hkey^6 + vpxor $Z1,$Z0,$Z0 + vpunpckhqdq $Xi,$Xi,$T3 + vpclmulqdq \$0x11,$Hkey,$inout1,$inout1 + vpxor $Xi,$T3,$T3 + vpxor $inout2,$inout1,$inout1 + vpclmulqdq \$0x00,$HK,$T2,$T2 + vpxor $T1,$T2,$T2 + + vpclmulqdq \$0x00,$Ii,$Xi,$Z1 + vpclmulqdq \$0x11,$Ii,$Xi,$Z3 + vpxor $Z0,$Z1,$Z1 + vpclmulqdq \$0x10,$HK,$T3,$Z2 + vpxor $inout1,$Z3,$Z3 + vpxor $T2,$Z2,$Z2 + + vpxor $Z1,$Z3,$Z0 # aggregated Karatsuba post-processing + vpxor $Z0,$Z2,$Z2 + vpslldq \$8,$Z2,$T1 + vmovdqu 0x10($const),$Hkey # .Lpoly + vpsrldq \$8,$Z2,$Z2 + vpxor $T1,$Z1,$Xi + vpxor $Z2,$Z3,$Z3 + + vpalignr \$8,$Xi,$Xi,$T2 # 1st phase + vpclmulqdq \$0x10,$Hkey,$Xi,$Xi + vpxor $T2,$Xi,$Xi + + vpalignr \$8,$Xi,$Xi,$T2 # 2nd phase + vpclmulqdq \$0x10,$Hkey,$Xi,$Xi + vpxor $Z3,$T2,$T2 + vpxor $T2,$Xi,$Xi +___ +} +$code.=<<___; + vpshufb ($const),$Xi,$Xi # .Lbswap_mask + vmovdqu $Xi,-0x40($Xip) # output Xi + + vzeroupper +___ +$code.=<<___ if ($win64); + movaps -0xd0(%rbp),%xmm6 + movaps -0xc0(%rbp),%xmm7 + movaps -0xb0(%rbp),%xmm8 + movaps -0xa0(%rbp),%xmm9 + movaps -0x90(%rbp),%xmm10 + movaps -0x80(%rbp),%xmm11 + movaps -0x70(%rbp),%xmm12 + movaps -0x60(%rbp),%xmm13 + movaps -0x50(%rbp),%xmm14 + movaps -0x40(%rbp),%xmm15 +___ +$code.=<<___; + mov -0x28(%rbp),%r15 + mov -0x20(%rbp),%r14 + mov -0x18(%rbp),%r13 + mov -0x10(%rbp),%r12 + mov -0x08(%rbp),%rbx + mov %rbp,%rsp # restore %rsp +.cfi_def_cfa_register %rsp +.Lgcm_enc_abort: + pop %rbp +.cfi_pop %rbp +.cfi_epilogue + ret +.cfi_endproc +.size aesni_gcm_encrypt,.-aesni_gcm_encrypt +___ + +$code.=<<___; +.align 64 +.Lbswap_mask: + .byte 15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,0 +.Lpoly: + .byte 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xc2 +.Lone_msb: + .byte 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1 +.Ltwo_lsb: + .byte 2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 +.Lone_lsb: + .byte 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 +.asciz "AES-NI GCM module for x86_64, CRYPTOGAMS by " +.align 64 +___ +}}} else {{{ +$code=<<___; # assembler is too old +.text + +.globl aesni_gcm_encrypt +.type aesni_gcm_encrypt,\@abi-omnipotent +aesni_gcm_encrypt: +.cfi_startproc + xor %eax,%eax + ret +.cfi_endproc +.size aesni_gcm_encrypt,.-aesni_gcm_encrypt + +.globl aesni_gcm_decrypt +.type aesni_gcm_decrypt,\@abi-omnipotent +aesni_gcm_decrypt: +.cfi_startproc + xor %eax,%eax + ret +.cfi_endproc +.size aesni_gcm_decrypt,.-aesni_gcm_decrypt +___ +}}} + +$code =~ s/\`([^\`]*)\`/eval($1)/gem; + +print $code; + +close STDOUT or die "error closing STDOUT: $!"; diff --git a/cbits/asm/arm-xlate.pl b/cbits/asm/arm-xlate.pl new file mode 100644 --- /dev/null +++ b/cbits/asm/arm-xlate.pl @@ -0,0 +1,467 @@ +#! /usr/bin/env perl +# +# ARM assembler distiller/adapter by \@dot-asm. + +use strict; + +################################################################ +# Recognized "flavour"-s are: +# +# linux[32|64] GNU assembler, effectively pass-through +# ios[32|64] global symbols' decorations, PIC tweaks, etc. +# win[32|64] Visual Studio armasm-specific directives +# coff[32|64] e.g. clang --target=arm-windows ... +# cheri64 L64P128 platform +# +my $flavour = shift; + $flavour = "linux" if (!$flavour or $flavour eq "void"); + +my $output = shift; +open STDOUT,">$output" || die "can't open $output: $!"; + +my %GLOBALS; +my $dotinlocallabels = ($flavour !~ /ios/) ? 1 : 0; +my $in_proc; # used with 'windows' flavour + +################################################################ +# directives which need special treatment on different platforms +################################################################ +my $arch = sub { } if ($flavour !~ /linux|coff64/);# omit .arch +my $fpu = sub { } if ($flavour !~ /linux/); # omit .fpu + +my $rodata = sub { + SWITCH: for ($flavour) { + /linux|cheri/ && return ".section\t.rodata"; + /ios/ && return ".section\t__TEXT,__const"; + /coff/ && return ".section\t.rdata,\"dr\""; + /win/ && return "\tAREA\t|.rdata|,DATA,READONLY,ALIGN=8"; + last; + } +}; + +my $hidden = sub { + if ($flavour =~ /ios/) { ".private_extern\t".join(',',@_); } +} if ($flavour !~ /linux|cheri/); + +my $comm = sub { + my @args = split(/,\s*/,shift); + my $name = @args[0]; + my $global = \$GLOBALS{$name}; + my $ret; + + if ($flavour =~ /ios32/) { + $ret = ".comm\t_$name,@args[1]\n"; + $ret .= ".non_lazy_symbol_pointer\n"; + $ret .= "$name:\n"; + $ret .= ".indirect_symbol\t_$name\n"; + $ret .= ".long\t0\n"; + $ret .= ".previous"; + $name = "_$name"; + } elsif ($flavour =~ /ios64/) { + $name = "_$name"; + $ret = ".comm\t$name,@args[1]"; + } elsif ($flavour =~ /win/) { + $ret = "\tCOMMON\t|$name|,@args[1]"; + } elsif ($flavour =~ /coff/) { + $ret = ".comm\t$name,@args[1]"; + } else { + $ret = ".comm\t".join(',',@args); + } + + $$global = $name; + $ret; +}; + +my $globl = sub { + my $name = shift; + my $global = \$GLOBALS{$name}; + my $ret; + + SWITCH: for ($flavour) { + /ios/ && do { $name = "_$name"; last; }; + /win/ && do { $ret = ""; last; }; + } + + $ret = ".globl $name" if (!defined($ret)); + $$global = $name; + $ret; +}; +my $global = $globl; + +my $extern = sub { + &$globl(@_); + if ($flavour =~ /win/) { + return "\tEXTERN\t@_"; + } + return; # return nothing +}; + +my $type = sub { + my $arg = join(',',@_); + my $ret; + + SWITCH: for ($flavour) { + /ios32/ && do { if ($arg =~ /(\w+),\s*%function/) { + $ret = "#ifdef __thumb2__\n" . + ".thumb_func $1\n" . + "#endif"; + } + last; + }; + /win/ && do { if ($arg =~ /(\w+),\s*%(function|object)/) { + my $type = "[DATA]"; + if ($2 eq "function") { + $in_proc = $1; + $type = "[FUNC]"; + } + $ret = $GLOBALS{$1} ? "\tEXPORT\t|$1|$type" + : ""; + } + last; + }; + /coff/ && do { if ($arg =~ /(\w+),\s*%function/) { + $ret = ".def $1;\n". + ".type 32;\n". + ".endef"; + } + last; + }; + } + return $ret; +} if ($flavour !~ /linux|cheri/); + +my $size = sub { + if ($in_proc && $flavour =~ /win/) { + $in_proc = undef; + return "\tENDP"; + } +} if ($flavour !~ /linux|cheri/); + +my $inst = sub { + if ($flavour =~ /win/) { "\tDCDU\t".join(',',@_); } + else { ".long\t".join(',',@_); } +} if ($flavour !~ /linux|cheri/); + +my $asciz = sub { + my $line = join(",",@_); + if ($line =~ /^"(.*)"$/) + { if ($flavour =~ /win/) { + "\tDCB\t$line,0\n\tALIGN\t4"; + } else { + ".byte " . join(",",unpack("C*",$1),0) . "\n.align 2"; + } + } else { ""; } +}; + +my $align = sub { + "\tALIGN\t".2**@_[0]; +} if ($flavour =~ /win/); + $align = sub { + ".p2align\t".@_[0]; +} if ($flavour =~ /coff/); + +my $byte = sub { + "\tDCB\t".join(',',@_); +} if ($flavour =~ /win/); + +my $short = sub { + "\tDCWU\t".join(',',@_); +} if ($flavour =~ /win/); + +my $word = sub { + "\tDCDU\t".join(',',@_); +} if ($flavour =~ /win/); + +my $long = $word if ($flavour =~ /win/); + +my $quad = sub { + "\tDCQU\t".join(',',@_); +} if ($flavour =~ /win/); + +my $skip = sub { + "\tSPACE\t".shift; +} if ($flavour =~ /win/); + +my $code = sub { + "\tCODE@_[0]"; +} if ($flavour =~ /win/); + +my $thumb = sub { # .thumb should appear prior .text in source + "# define ARM THUMB\n" . + "\tTHUMB"; +} if ($flavour =~ /win/); + +my $text = sub { + "\tAREA\t|.text|,CODE,ALIGN=8,".($flavour =~ /64/ ? "ARM64" : "ARM"); +} if ($flavour =~ /win/); + +my $syntax = sub {} if ($flavour =~ /win/); # omit .syntax + +my $rva = sub { + # .rva directive comes in handy only on 32-bit Windows, i.e. it can + # be used only in '#if defined(_WIN32) && !defined(_WIN64)' sections. + # However! Corresponding compilers don't seem to bet on PIC, which + # raises the question why would assembler programmer have to jump + # through the hoops? But just in case, it would go as following: + # + # ldr r1,.LOPENSSL_armcap + # ldr r2,.LOPENSSL_armcap+4 + # adr r0,.LOPENSSL_armcap + # bic r1,r1,#1 ; de-thumb-ify link.exe's ideas + # sub r0,r0,r1 ; r0 is image base now + # ldr r0,[r0,r2] + # ... + #.LOPENSSL_armcap: + # .rva .LOPENSSL_armcap ; self-reference + # .rva OPENSSL_armcap_P ; real target + # + # Non-position-independent [and ISA-neutral] alternative is so much + # simpler: + # + # ldr r0,.LOPENSSL_armcap + # ldr r0,[r0] + # ... + #.LOPENSSL_armcap: + # .long OPENSSL_armcap_P + # + "\tDCDU\t@_[0]\n\tRELOC\t2" +} if ($flavour =~ /win(?!64)/); + +################################################################ +# some broken instructions in Visual Studio armasm[64]... + +my $it = sub {} if ($flavour =~ /win32/); # omit 'it' + +my $ext = sub { + "\text8\t".join(',',@_); +} if ($flavour =~ /win64/); + +my $csel = sub { + my ($args,$comment) = split(m|\s*//|,shift); + my @regs = split(m|,\s*|,$args); + my $cond = pop(@regs); + + "\tcsel$cond\t".join(',',@regs); +} if ($flavour =~ /win64/); + +my $csetm = sub { + my ($args,$comment) = split(m|\s*//|,shift); + my @regs = split(m|,\s*|,$args); + my $cond = pop(@regs); + + "\tcsetm$cond\t".join(',',@regs); +} if ($flavour =~ /win64/); + +# ... then conditional branch instructions are also broken, but +# maintaining all the variants is tedious, so I kludge-fix it +# elsewhere... + +################################################################ +# CHERI-specific synthetic instructions +my $scvalue = sub { + my ($args,$comment) = split(m|\s*//|,shift); + $args =~ s/\b(?:x([0-9]+)|(sp))\b/c$1$2/g; + my @regs = split(m|,\s*|,$args); + @regs[2] =~ s/\bc([0-9])\b/x$1/; + + "\tscvalue\t".join(',',@regs); +}; + +my $cadd = sub { + my ($args,$comment) = split(m|\s*//|,shift); + if ($flavour =~ /cheri/) { + $args =~ s/\b(?:x([0-9]+)|(sp))\b/c$1$2/g; + } else { + $args =~ s/\bc([0-9]+)\b/x$1/g; + } + my @regs = split(m|,\s*|,$args); + @regs[2] =~ s/c([0-9])/x$1/; + + "\tadd\t".join(',',@regs); +}; + +my $csub = sub { + my ($args,$comment) = split(m|\s*//|,shift); + if ($flavour =~ /cheri/) { + $args =~ s/\b(?:x([0-9]+)|(sp))\b/c$1$2/g; + } else { + $args =~ s/\bc([0-9]+)\b/x$1/g; + } + my @regs = split(m|,\s*|,$args); + @regs[2] =~ s/c([0-9])/x$1/; + + "\tsub\t".join(',',@regs); +}; + +my $cmov = sub { + my $args = shift; + if ($flavour =~ /cheri/) { + $args =~ s/\b(?:x([0-9]+)|(sp))\b/c$1$2/g; + } else { + $args =~ s/\bc([0-9]+)\b/x$1/g; + } + + "\tmov\t".$args; +}; + +my $adr = sub { + my $args = shift; + $args =~ s/\bx([0-9]+)\b/c$1/g; + + "\tadr\t".$args; +} if ($flavour =~ /cheri/); + +################################################################ +my $adrp = sub { + my ($args,$comment) = split(m|\s*//|,shift); + "\tadrp\t$args\@PAGE"; +} if ($flavour =~ /ios64/); + +my $paciasp = sub { + ($flavour =~ /linux|cheri/) ? "\t.inst\t0xd503233f" + : &$inst(0xd503233f); +}; + +my $autiasp = sub { + ($flavour =~ /linux|cheri/) ? "\t.inst\t0xd50323bf" + : &$inst(0xd50323bf); +}; + +sub range { + my ($r,$sfx,$start,$end) = @_; + + join(",",map("$r$_$sfx",($start..$end))); +} + +sub expand_line { + my $line = shift; + my @ret = (); + + pos($line)=0; + + while ($line =~ m/\G[^@\/\{\"]*/g) { + if ($line =~ m/\G(@|\/\/|$)/gc) { + last; + } + elsif ($line =~ m/\G\{/gc) { + my $saved_pos = pos($line); + $line =~ s/\G([rdqv])([0-9]+)([^\-]*)\-\1([0-9]+)\3/range($1,$3,$2,$4)/e; + pos($line) = $saved_pos; + $line =~ m/\G[^\}]*\}/g; + } + elsif ($line =~ m/\G\"/gc) { + $line =~ m/\G[^\"]*\"/g; + } + } + + $line =~ s/\b(\w+)/$GLOBALS{$1} or $1/ge; + + if ($flavour =~ /cheri/) { + $line =~ s/\[\s*(?:x([0-9]+)|(sp))\s*(,?.*)\]/[c$1$2$3]/; + } else { + $line =~ s/\bc((?:[0-9]+|zr))\b/x$1/g; + $line =~ s/\bcsp\b/sp/g; + } + + if ($flavour =~ /win/) { + # adjust alignment hints, "[rN,:32]" -> "[rN@32]" + $line =~ s/(\[\s*(?:r[0-9]+|sp))\s*,?\s*:([0-9]+\s*\])/$1\@$2/; + # adjust local labels, ".Lwhatever" -> "|$Lwhatever|" + $line =~ s/\.(L\w{2,})/|\$$1|/g; + # omit "#:lo12:" on win64 + $line =~ s/#:lo12://; + } elsif ($flavour =~ /coff(?!64)/) { + $line =~ s/\.L(\w{2,})/(\$ML$1)/g; + } elsif ($flavour =~ /ios64/) { + $line =~ s/#:lo12:(\w+)/$1\@PAGEOFF/; + } + + if ($flavour =~ /64/) { + # "vX.Md[N]" -> "vX.d[N] + $line =~ s/\b(v[0-9]+)\.[1-9]+([bhsd]\[[0-9]+\])/$1.$2/; + } + + return $line; +} + +if ($flavour =~ /win(32|64)/) { + print<<___; + GBLA __SIZEOF_POINTER__ +__SIZEOF_POINTER__ SETA $1/8 +___ +} + +while(my $line=<>) { + + if ($flavour =~ /win/) { + if ($line =~ m/^#\s*(ifdef|ifndef|else|endif)\b(.*)/) { + my ($op, $arg) = ($1, $2); + $op = "if :def:" if ($op eq "ifdef"); + $op = "if :lnot::def:" if ($op eq "ifndef"); + print " ".$op.$arg."\n"; + next; + } + $line =~ s|//.*||; + } + + # fix up assembler-specific commentary delimiter + $line =~ s/@(?=[\s@])/\;/g if ($flavour =~ /win|coff/); + + if ($line =~ m/^\s*(#|@|;|\/\/)/) { print $line; next; } + + $line =~ s|/\*.*\*/||; # get rid of C-style comments... + $line =~ s|^\s+||; # ... and skip white spaces in beginning... + $line =~ s|\s+$||; # ... and at the end + + { + $line =~ s|[\b\.]L(\w{2,})|L$1|g; # common denominator for Locallabel + $line =~ s|\bL(\w{2,})|\.L$1|g if ($dotinlocallabels); + } + + { + $line =~ s|(^[\.\w]+)\:\s*||; + my $label = $1; + if ($label) { + $label = ($GLOBALS{$label} or $label); + if ($flavour =~ /win/) { + $label =~ s|^\.L(?=\w)|\$L|; + printf "|%s|%s", $label, ($label eq $in_proc ? " PROC" : ""); + } else { + $label =~ s|^\.L(?=\w)|\$ML| if ($flavour =~ /coff(?!64)/); + printf "%s:", $label; + } + } + } + + if ($line !~ m/^[#@;]/) { + $line =~ s|^\s*(\.?)(\S+)\s*||; + my $c = $1; $c = "\t" if ($c eq ""); + my $mnemonic = $2; + my $opcode; + if ($mnemonic =~ m/([^\.]+)\.([^\.]+)/) { + $opcode = eval("\$$1_$2"); + } else { + $opcode = eval("\$$mnemonic"); + } + + my $arg=expand_line($line); + + if (ref($opcode) eq 'CODE') { + $line = &$opcode($arg); + } elsif ($mnemonic) { + if ($flavour =~ /win64/) { + # "b.cond" -> "bcond", kludge-fix:-( + $mnemonic =~ s/^b\.([a-z]{2}$)/b$1/; + } + $line = $c.$mnemonic; + $line.= "\t$arg" if ($arg ne ""); + } + } + + print $line if ($line); + print "\n"; +} + +print "\tEND\n" if ($flavour =~ /win/); + +close STDOUT; diff --git a/cbits/asm/arm_arch.h b/cbits/asm/arm_arch.h new file mode 100644 --- /dev/null +++ b/cbits/asm/arm_arch.h @@ -0,0 +1,101 @@ +#ifndef __ARM_ARCH_H__ +#define __ARM_ARCH_H__ + +#if !defined(__ARM_ARCH__) +# if defined(__CC_ARM) +# if __TARGET_ARCH_THUMB +# define __thumb__ +# if __TARGET_ARCH_THUMB >= 4 +# define __thumb2__ +# endif +# endif +# if __TARGET_ARCH_ARM +# define __ARM_ARCH__ __TARGET_ARCH_ARM +# else +# define __ARM_ARCH__ (__TARGET_ARCH_THUMB + 3) +# endif +# if defined(__BIG_ENDIAN) +# define __ARMEB__ +# else +# define __ARMEL__ +# endif +# elif defined(__GNUC__) || defined(__clang__) +# if defined(__aarch64__) +# define __ARM_ARCH__ 8 +# ifdef __AARCH64EB__ +# define __ARMEB__ +# else +# define __ARMEL__ +# endif +# elif defined(__ARM_ARCH) +# define __ARM_ARCH__ __ARM_ARCH + /* + * Why didn't gcc define __ARM_ARCH from start? Instead it defined + * bunch of below macros. See all_architectures[] table in + * gcc/config/arm/arm.c. On a side note it defines + * __ARMEL__/__ARMEB__ for little-/big-endian. + */ +# elif defined(__ARM_ARCH_8A__) +# define __ARM_ARCH__ 8 +# elif defined(__ARM_ARCH_7__) || defined(__ARM_ARCH_7A__) || \ + defined(__ARM_ARCH_7R__)|| defined(__ARM_ARCH_7M__) || \ + defined(__ARM_ARCH_7EM__) +# define __ARM_ARCH__ 7 +# elif defined(__ARM_ARCH_6__) || defined(__ARM_ARCH_6J__) || \ + defined(__ARM_ARCH_6K__)|| defined(__ARM_ARCH_6M__) || \ + defined(__ARM_ARCH_6Z__)|| defined(__ARM_ARCH_6ZK__) || \ + defined(__ARM_ARCH_6T2__) +# define __ARM_ARCH__ 6 +# elif defined(__ARM_ARCH_5__) || defined(__ARM_ARCH_5T__) || \ + defined(__ARM_ARCH_5E__)|| defined(__ARM_ARCH_5TE__) || \ + defined(__ARM_ARCH_5TEJ__) +# define __ARM_ARCH__ 5 +# elif defined(__ARM_ARCH_4__) || defined(__ARM_ARCH_4T__) +# define __ARM_ARCH__ 4 +# else +# error "unsupported ARM architecture" +# endif +# elif defined(_MSC_VER) +# define __ARMEL__ +# if defined(_M_ARM) +# define __ARM_ARCH__ _M_ARM +# if defined(_M_THUMB) +# define __thumb__ +# if _M_THUMB >= 7 +# define __thumb2__ +# endif +# endif +# elif defined(_M_ARM64) +# define __AARCH64EL__ +# define __ARM_ARCH__ 8 +# else +# error "unsupported ARM architecture" +# endif +# endif +#endif + +#if !defined(__ARM_MAX_ARCH__) +# define __ARM_MAX_ARCH__ __ARM_ARCH__ +#endif + +#if __ARM_MAX_ARCH__<__ARM_ARCH__ +# error "__ARM_MAX_ARCH__ can't be less than __ARM_ARCH__" +#elif __ARM_MAX_ARCH__!=__ARM_ARCH__ +# if __ARM_ARCH__<7 && __ARM_MAX_ARCH__>=7 && defined(__ARMEB__) +# error "can't build universal big-endian binary" +# endif +#endif + +#ifndef __ASSEMBLER__ +extern unsigned int OPENSSL_armcap_P; +#endif + +#define ARMV7_NEON (1<<0) +#define ARMV7_TICK (1<<1) +#define ARMV8_AES (1<<2) +#define ARMV8_SHA1 (1<<3) +#define ARMV8_SHA256 (1<<4) +#define ARMV8_PMULL (1<<5) +#define ARMV8_SHA512 (1<<6) + +#endif diff --git a/cbits/asm/chacha-armv8-ios64.S b/cbits/asm/chacha-armv8-ios64.S new file mode 100644 --- /dev/null +++ b/cbits/asm/chacha-armv8-ios64.S @@ -0,0 +1,2053 @@ +#ifndef __KERNEL__ +# include "arm_arch.h" + +#endif + +.text + +.align 5 +Lsigma: +.quad 0x3320646e61707865,0x6b20657479622d32 // endian-neutral +Lone: +.long 1,2,3,4 +Lrot24: +.long 0x02010003,0x06050407,0x0a09080b,0x0e0d0c0f +.byte 67,104,97,67,104,97,50,48,32,102,111,114,32,65,82,77,118,56,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.align 2 + +.globl _crypton_chacha20_asm_ctr32 + +.align 5 +_crypton_chacha20_asm_ctr32: + cbz x2,Labort + cmp x2,#192 + b.lo Lshort + +#ifndef __KERNEL__ + adrp x17,_crypton_armcap_P@PAGE + ldr w17,[x17,_crypton_armcap_P@PAGEOFF] + tst w17,#ARMV7_NEON + b.ne Lcrypton_chacha20_asm_neon +#endif + +Lshort: +.long 0xd503233f // paciasp + stp x29,x30,[sp,#-12*__SIZEOF_POINTER__]! + add x29,sp,#0 + + adr x5,Lsigma + stp x19,x20,[sp,#2*__SIZEOF_POINTER__] + stp x21,x22,[sp,#4*__SIZEOF_POINTER__] + stp x23,x24,[sp,#6*__SIZEOF_POINTER__] + stp x25,x26,[sp,#8*__SIZEOF_POINTER__] + stp x27,x28,[sp,#10*__SIZEOF_POINTER__] + sub sp,sp,#64 + + ldp x22,x23,[x5] // load sigma + ldp x24,x25,[x3] // load key + ldp x26,x27,[x3,#16] + ldp x28,x30,[x4] // load counter +#ifdef __AARCH64EB__ + ror x24,x24,#32 + ror x25,x25,#32 + ror x26,x26,#32 + ror x27,x27,#32 + ror x28,x28,#32 + ror x30,x30,#32 +#endif + +Loop_outer: + mov w5,w22 // unpack key block + lsr x6,x22,#32 + mov w7,w23 + lsr x8,x23,#32 + mov w9,w24 + lsr x10,x24,#32 + mov w11,w25 + lsr x12,x25,#32 + mov w13,w26 + lsr x14,x26,#32 + mov w15,w27 + lsr x16,x27,#32 + mov w17,w28 + lsr x19,x28,#32 + mov w20,w30 + lsr x21,x30,#32 + + mov x4,#10 + subs x2,x2,#64 +Loop: + sub x4,x4,#1 + add w5,w5,w9 + add w6,w6,w10 + add w7,w7,w11 + add w8,w8,w12 + eor w17,w17,w5 + eor w19,w19,w6 + eor w20,w20,w7 + eor w21,w21,w8 + ror w17,w17,#16 + ror w19,w19,#16 + ror w20,w20,#16 + ror w21,w21,#16 + add w13,w13,w17 + add w14,w14,w19 + add w15,w15,w20 + add w16,w16,w21 + eor w9,w9,w13 + eor w10,w10,w14 + eor w11,w11,w15 + eor w12,w12,w16 + ror w9,w9,#20 + ror w10,w10,#20 + ror w11,w11,#20 + ror w12,w12,#20 + add w5,w5,w9 + add w6,w6,w10 + add w7,w7,w11 + add w8,w8,w12 + eor w17,w17,w5 + eor w19,w19,w6 + eor w20,w20,w7 + eor w21,w21,w8 + ror w17,w17,#24 + ror w19,w19,#24 + ror w20,w20,#24 + ror w21,w21,#24 + add w13,w13,w17 + add w14,w14,w19 + add w15,w15,w20 + add w16,w16,w21 + eor w9,w9,w13 + eor w10,w10,w14 + eor w11,w11,w15 + eor w12,w12,w16 + ror w9,w9,#25 + ror w10,w10,#25 + ror w11,w11,#25 + ror w12,w12,#25 + add w5,w5,w10 + add w6,w6,w11 + add w7,w7,w12 + add w8,w8,w9 + eor w21,w21,w5 + eor w17,w17,w6 + eor w19,w19,w7 + eor w20,w20,w8 + ror w21,w21,#16 + ror w17,w17,#16 + ror w19,w19,#16 + ror w20,w20,#16 + add w15,w15,w21 + add w16,w16,w17 + add w13,w13,w19 + add w14,w14,w20 + eor w10,w10,w15 + eor w11,w11,w16 + eor w12,w12,w13 + eor w9,w9,w14 + ror w10,w10,#20 + ror w11,w11,#20 + ror w12,w12,#20 + ror w9,w9,#20 + add w5,w5,w10 + add w6,w6,w11 + add w7,w7,w12 + add w8,w8,w9 + eor w21,w21,w5 + eor w17,w17,w6 + eor w19,w19,w7 + eor w20,w20,w8 + ror w21,w21,#24 + ror w17,w17,#24 + ror w19,w19,#24 + ror w20,w20,#24 + add w15,w15,w21 + add w16,w16,w17 + add w13,w13,w19 + add w14,w14,w20 + eor w10,w10,w15 + eor w11,w11,w16 + eor w12,w12,w13 + eor w9,w9,w14 + ror w10,w10,#25 + ror w11,w11,#25 + ror w12,w12,#25 + ror w9,w9,#25 + cbnz x4,Loop + + add w5,w5,w22 // accumulate key block + add x6,x6,x22,lsr#32 + add w7,w7,w23 + add x8,x8,x23,lsr#32 + add w9,w9,w24 + add x10,x10,x24,lsr#32 + add w11,w11,w25 + add x12,x12,x25,lsr#32 + add w13,w13,w26 + add x14,x14,x26,lsr#32 + add w15,w15,w27 + add x16,x16,x27,lsr#32 + add w17,w17,w28 + add x19,x19,x28,lsr#32 + add w20,w20,w30 + add x21,x21,x30,lsr#32 + + b.lo Ltail + + add x5,x5,x6,lsl#32 // pack + add x7,x7,x8,lsl#32 + ldp x6,x8,[x1,#0] // load input + add x9,x9,x10,lsl#32 + add x11,x11,x12,lsl#32 + ldp x10,x12,[x1,#16] + add x13,x13,x14,lsl#32 + add x15,x15,x16,lsl#32 + ldp x14,x16,[x1,#32] + add x17,x17,x19,lsl#32 + add x20,x20,x21,lsl#32 + ldp x19,x21,[x1,#48] + add x1,x1,#64 +#ifdef __AARCH64EB__ + rev x5,x5 + rev x7,x7 + rev x9,x9 + rev x11,x11 + rev x13,x13 + rev x15,x15 + rev x17,x17 + rev x20,x20 +#endif + eor x5,x5,x6 + eor x7,x7,x8 + eor x9,x9,x10 + eor x11,x11,x12 + eor x13,x13,x14 + eor x15,x15,x16 + eor x17,x17,x19 + eor x20,x20,x21 + + stp x5,x7,[x0,#0] // store output + add x28,x28,#1 // increment counter + stp x9,x11,[x0,#16] + stp x13,x15,[x0,#32] + stp x17,x20,[x0,#48] + add x0,x0,#64 + + b.hi Loop_outer + + ldp x19,x20,[x29,#2*__SIZEOF_POINTER__] + add sp,sp,#64 + ldp x21,x22,[x29,#4*__SIZEOF_POINTER__] + ldp x23,x24,[x29,#6*__SIZEOF_POINTER__] + ldp x25,x26,[x29,#8*__SIZEOF_POINTER__] + ldp x27,x28,[x29,#10*__SIZEOF_POINTER__] + ldp x29,x30,[sp],#12*__SIZEOF_POINTER__ +.long 0xd50323bf // autiasp +Labort: + ret + +.align 4 +Ltail: + add x2,x2,#64 +Less_than_64: + sub x0,x0,#1 + add x1,x1,x2 + add x0,x0,x2 + add x4,sp,x2 + neg x2,x2 + + add x5,x5,x6,lsl#32 // pack + add x7,x7,x8,lsl#32 + add x9,x9,x10,lsl#32 + add x11,x11,x12,lsl#32 + add x13,x13,x14,lsl#32 + add x15,x15,x16,lsl#32 + add x17,x17,x19,lsl#32 + add x20,x20,x21,lsl#32 +#ifdef __AARCH64EB__ + rev x5,x5 + rev x7,x7 + rev x9,x9 + rev x11,x11 + rev x13,x13 + rev x15,x15 + rev x17,x17 + rev x20,x20 +#endif + stp x5,x7,[sp,#0] // off-load complete block + stp x9,x11,[sp,#16] + stp x13,x15,[sp,#32] + stp x17,x20,[sp,#48] + +Loop_tail: + ldrb w10,[x1,x2] + ldrb w11,[x4,x2] + add x2,x2,#1 + eor w10,w10,w11 + strb w10,[x0,x2] + cbnz x2,Loop_tail + + stp xzr,xzr,[sp,#0] // wipe off-load area + stp xzr,xzr,[sp,#16] + stp xzr,xzr,[sp,#32] + stp xzr,xzr,[sp,#48] + + ldp x19,x20,[x29,#2*__SIZEOF_POINTER__] + add sp,sp,#64 + ldp x21,x22,[x29,#4*__SIZEOF_POINTER__] + ldp x23,x24,[x29,#6*__SIZEOF_POINTER__] + ldp x25,x26,[x29,#8*__SIZEOF_POINTER__] + ldp x27,x28,[x29,#10*__SIZEOF_POINTER__] + ldp x29,x30,[sp],#12*__SIZEOF_POINTER__ +.long 0xd50323bf // autiasp + ret + + +#ifdef __KERNEL__ +.globl _crypton_chacha20_asm_neon +#endif + +.align 5 +_crypton_chacha20_asm_neon: +Lcrypton_chacha20_asm_neon: +.long 0xd503233f // paciasp + stp x29,x30,[sp,#-12*__SIZEOF_POINTER__]! + add x29,sp,#0 + + adr x5,Lsigma + stp x19,x20,[sp,#2*__SIZEOF_POINTER__] + stp x21,x22,[sp,#4*__SIZEOF_POINTER__] + stp x23,x24,[sp,#6*__SIZEOF_POINTER__] + stp x25,x26,[sp,#8*__SIZEOF_POINTER__] + stp x27,x28,[sp,#10*__SIZEOF_POINTER__] + cmp x2,#512 + b.hs L512_or_more_neon + + sub sp,sp,#64 + + ldp x22,x23,[x5] // load sigma + ld1 {v0.4s},[x5],#16 + ldp x24,x25,[x3] // load key + ldp x26,x27,[x3,#16] + ld1 {v1.4s,v2.4s},[x3] + ldp x28,x30,[x4] // load counter + ld1 {v3.4s},[x4] + stp d8,d9,[sp] // meet ABI requirements + ld1 {v8.4s,v9.4s},[x5] +#ifdef __AARCH64EB__ + rev64 v0.4s,v0.4s + ror x24,x24,#32 + ror x25,x25,#32 + ror x26,x26,#32 + ror x27,x27,#32 + ror x28,x28,#32 + ror x30,x30,#32 +#endif + +Loop_outer_neon: + dup v16.4s,v0.s[0] // unpack key block + mov w5,w22 + dup v20.4s,v0.s[1] + lsr x6,x22,#32 + dup v24.4s,v0.s[2] + mov w7,w23 + dup v28.4s,v0.s[3] + lsr x8,x23,#32 + dup v17.4s,v1.s[0] + mov w9,w24 + dup v21.4s,v1.s[1] + lsr x10,x24,#32 + dup v25.4s,v1.s[2] + mov w11,w25 + dup v29.4s,v1.s[3] + lsr x12,x25,#32 + dup v19.4s,v3.s[0] + mov w13,w26 + dup v23.4s,v3.s[1] + lsr x14,x26,#32 + dup v27.4s,v3.s[2] + mov w15,w27 + dup v31.4s,v3.s[3] + lsr x16,x27,#32 + add v19.4s,v19.4s,v8.4s + mov w17,w28 + dup v18.4s,v2.s[0] + lsr x19,x28,#32 + dup v22.4s,v2.s[1] + mov w20,w30 + dup v26.4s,v2.s[2] + lsr x21,x30,#32 + dup v30.4s,v2.s[3] + + mov x4,#10 + subs x2,x2,#320 +Loop_neon: + sub x4,x4,#1 + add v16.4s,v16.4s,v17.4s + add v20.4s,v20.4s,v21.4s + add v24.4s,v24.4s,v25.4s + add v28.4s,v28.4s,v29.4s + eor v19.16b,v19.16b,v16.16b + eor v23.16b,v23.16b,v20.16b + eor v27.16b,v27.16b,v24.16b + eor v31.16b,v31.16b,v28.16b + add w5,w5,w9 + rev32 v19.8h,v19.8h + add w6,w6,w10 + rev32 v23.8h,v23.8h + add w7,w7,w11 + rev32 v27.8h,v27.8h + add w8,w8,w12 + rev32 v31.8h,v31.8h + eor w17,w17,w5 + add v18.4s,v18.4s,v19.4s + eor w19,w19,w6 + add v22.4s,v22.4s,v23.4s + eor w20,w20,w7 + add v26.4s,v26.4s,v27.4s + eor w21,w21,w8 + add v30.4s,v30.4s,v31.4s + ror w17,w17,#16 + eor v4.16b,v17.16b,v18.16b + ror w19,w19,#16 + eor v5.16b,v21.16b,v22.16b + ror w20,w20,#16 + eor v6.16b,v25.16b,v26.16b + ror w21,w21,#16 + eor v7.16b,v29.16b,v30.16b + add w13,w13,w17 + ushr v17.4s,v4.4s,#20 + add w14,w14,w19 + ushr v21.4s,v5.4s,#20 + add w15,w15,w20 + ushr v25.4s,v6.4s,#20 + add w16,w16,w21 + ushr v29.4s,v7.4s,#20 + eor w9,w9,w13 + sli v17.4s,v4.4s,#12 + eor w10,w10,w14 + sli v21.4s,v5.4s,#12 + eor w11,w11,w15 + sli v25.4s,v6.4s,#12 + eor w12,w12,w16 + sli v29.4s,v7.4s,#12 + ror w9,w9,#20 + add v16.4s,v16.4s,v17.4s + ror w10,w10,#20 + add v20.4s,v20.4s,v21.4s + ror w11,w11,#20 + add v24.4s,v24.4s,v25.4s + ror w12,w12,#20 + add v28.4s,v28.4s,v29.4s + add w5,w5,w9 + eor v4.16b,v19.16b,v16.16b + add w6,w6,w10 + eor v5.16b,v23.16b,v20.16b + add w7,w7,w11 + eor v6.16b,v27.16b,v24.16b + add w8,w8,w12 + eor v7.16b,v31.16b,v28.16b + eor w17,w17,w5 + tbl v19.16b,{v4.16b},v9.16b + eor w19,w19,w6 + tbl v23.16b,{v5.16b},v9.16b + eor w20,w20,w7 + tbl v27.16b,{v6.16b},v9.16b + eor w21,w21,w8 + tbl v31.16b,{v7.16b},v9.16b + ror w17,w17,#24 + add v18.4s,v18.4s,v19.4s + ror w19,w19,#24 + add v22.4s,v22.4s,v23.4s + ror w20,w20,#24 + add v26.4s,v26.4s,v27.4s + ror w21,w21,#24 + add v30.4s,v30.4s,v31.4s + add w13,w13,w17 + eor v4.16b,v17.16b,v18.16b + add w14,w14,w19 + eor v5.16b,v21.16b,v22.16b + add w15,w15,w20 + eor v6.16b,v25.16b,v26.16b + add w16,w16,w21 + eor v7.16b,v29.16b,v30.16b + eor w9,w9,w13 + ushr v17.4s,v4.4s,#25 + eor w10,w10,w14 + ushr v21.4s,v5.4s,#25 + eor w11,w11,w15 + ushr v25.4s,v6.4s,#25 + eor w12,w12,w16 + ushr v29.4s,v7.4s,#25 + ror w9,w9,#25 + sli v17.4s,v4.4s,#7 + ror w10,w10,#25 + sli v21.4s,v5.4s,#7 + ror w11,w11,#25 + sli v25.4s,v6.4s,#7 + ror w12,w12,#25 + sli v29.4s,v7.4s,#7 + add v16.4s,v16.4s,v21.4s + add v20.4s,v20.4s,v25.4s + add v24.4s,v24.4s,v29.4s + add v28.4s,v28.4s,v17.4s + eor v31.16b,v31.16b,v16.16b + eor v19.16b,v19.16b,v20.16b + eor v23.16b,v23.16b,v24.16b + eor v27.16b,v27.16b,v28.16b + add w5,w5,w10 + rev32 v31.8h,v31.8h + add w6,w6,w11 + rev32 v19.8h,v19.8h + add w7,w7,w12 + rev32 v23.8h,v23.8h + add w8,w8,w9 + rev32 v27.8h,v27.8h + eor w21,w21,w5 + add v26.4s,v26.4s,v31.4s + eor w17,w17,w6 + add v30.4s,v30.4s,v19.4s + eor w19,w19,w7 + add v18.4s,v18.4s,v23.4s + eor w20,w20,w8 + add v22.4s,v22.4s,v27.4s + ror w21,w21,#16 + eor v4.16b,v21.16b,v26.16b + ror w17,w17,#16 + eor v5.16b,v25.16b,v30.16b + ror w19,w19,#16 + eor v6.16b,v29.16b,v18.16b + ror w20,w20,#16 + eor v7.16b,v17.16b,v22.16b + add w15,w15,w21 + ushr v21.4s,v4.4s,#20 + add w16,w16,w17 + ushr v25.4s,v5.4s,#20 + add w13,w13,w19 + ushr v29.4s,v6.4s,#20 + add w14,w14,w20 + ushr v17.4s,v7.4s,#20 + eor w10,w10,w15 + sli v21.4s,v4.4s,#12 + eor w11,w11,w16 + sli v25.4s,v5.4s,#12 + eor w12,w12,w13 + sli v29.4s,v6.4s,#12 + eor w9,w9,w14 + sli v17.4s,v7.4s,#12 + ror w10,w10,#20 + add v16.4s,v16.4s,v21.4s + ror w11,w11,#20 + add v20.4s,v20.4s,v25.4s + ror w12,w12,#20 + add v24.4s,v24.4s,v29.4s + ror w9,w9,#20 + add v28.4s,v28.4s,v17.4s + add w5,w5,w10 + eor v4.16b,v31.16b,v16.16b + add w6,w6,w11 + eor v5.16b,v19.16b,v20.16b + add w7,w7,w12 + eor v6.16b,v23.16b,v24.16b + add w8,w8,w9 + eor v7.16b,v27.16b,v28.16b + eor w21,w21,w5 + tbl v31.16b,{v4.16b},v9.16b + eor w17,w17,w6 + tbl v19.16b,{v5.16b},v9.16b + eor w19,w19,w7 + tbl v23.16b,{v6.16b},v9.16b + eor w20,w20,w8 + tbl v27.16b,{v7.16b},v9.16b + ror w21,w21,#24 + add v26.4s,v26.4s,v31.4s + ror w17,w17,#24 + add v30.4s,v30.4s,v19.4s + ror w19,w19,#24 + add v18.4s,v18.4s,v23.4s + ror w20,w20,#24 + add v22.4s,v22.4s,v27.4s + add w15,w15,w21 + eor v4.16b,v21.16b,v26.16b + add w16,w16,w17 + eor v5.16b,v25.16b,v30.16b + add w13,w13,w19 + eor v6.16b,v29.16b,v18.16b + add w14,w14,w20 + eor v7.16b,v17.16b,v22.16b + eor w10,w10,w15 + ushr v21.4s,v4.4s,#25 + eor w11,w11,w16 + ushr v25.4s,v5.4s,#25 + eor w12,w12,w13 + ushr v29.4s,v6.4s,#25 + eor w9,w9,w14 + ushr v17.4s,v7.4s,#25 + ror w10,w10,#25 + sli v21.4s,v4.4s,#7 + ror w11,w11,#25 + sli v25.4s,v5.4s,#7 + ror w12,w12,#25 + sli v29.4s,v6.4s,#7 + ror w9,w9,#25 + sli v17.4s,v7.4s,#7 + cbnz x4,Loop_neon + + add v19.4s,v19.4s,v8.4s + + zip1 v4.4s,v16.4s,v20.4s // transpose data + zip1 v5.4s,v24.4s,v28.4s + zip2 v6.4s,v16.4s,v20.4s + zip2 v7.4s,v24.4s,v28.4s + zip1 v16.2d,v4.2d,v5.2d + zip2 v20.2d,v4.2d,v5.2d + zip1 v24.2d,v6.2d,v7.2d + zip2 v28.2d,v6.2d,v7.2d + + zip1 v4.4s,v17.4s,v21.4s + zip1 v5.4s,v25.4s,v29.4s + zip2 v6.4s,v17.4s,v21.4s + zip2 v7.4s,v25.4s,v29.4s + zip1 v17.2d,v4.2d,v5.2d + zip2 v21.2d,v4.2d,v5.2d + zip1 v25.2d,v6.2d,v7.2d + zip2 v29.2d,v6.2d,v7.2d + + zip1 v4.4s,v18.4s,v22.4s + add w5,w5,w22 // accumulate key block + zip1 v5.4s,v26.4s,v30.4s + add x6,x6,x22,lsr#32 + zip2 v6.4s,v18.4s,v22.4s + add w7,w7,w23 + zip2 v7.4s,v26.4s,v30.4s + add x8,x8,x23,lsr#32 + zip1 v18.2d,v4.2d,v5.2d + add w9,w9,w24 + zip2 v22.2d,v4.2d,v5.2d + add x10,x10,x24,lsr#32 + zip1 v26.2d,v6.2d,v7.2d + add w11,w11,w25 + zip2 v30.2d,v6.2d,v7.2d + add x12,x12,x25,lsr#32 + + zip1 v4.4s,v19.4s,v23.4s + add w13,w13,w26 + zip1 v5.4s,v27.4s,v31.4s + add x14,x14,x26,lsr#32 + zip2 v6.4s,v19.4s,v23.4s + add w15,w15,w27 + zip2 v7.4s,v27.4s,v31.4s + add x16,x16,x27,lsr#32 + zip1 v19.2d,v4.2d,v5.2d + add w17,w17,w28 + zip2 v23.2d,v4.2d,v5.2d + add x19,x19,x28,lsr#32 + zip1 v27.2d,v6.2d,v7.2d + add w20,w20,w30 + zip2 v31.2d,v6.2d,v7.2d + add x21,x21,x30,lsr#32 + + b.lo Ltail_neon + + add x5,x5,x6,lsl#32 // pack + add x7,x7,x8,lsl#32 + ldp x6,x8,[x1,#0] // load input + add v16.4s,v16.4s,v0.4s // accumulate key block + add x9,x9,x10,lsl#32 + add x11,x11,x12,lsl#32 + ldp x10,x12,[x1,#16] + add v17.4s,v17.4s,v1.4s + add x13,x13,x14,lsl#32 + add x15,x15,x16,lsl#32 + ldp x14,x16,[x1,#32] + add v18.4s,v18.4s,v2.4s + add x17,x17,x19,lsl#32 + add x20,x20,x21,lsl#32 + ldp x19,x21,[x1,#48] + add v19.4s,v19.4s,v3.4s + add x1,x1,#64 +#ifdef __AARCH64EB__ + rev x5,x5 + rev x7,x7 + rev x9,x9 + rev x11,x11 + rev x13,x13 + rev x15,x15 + rev x17,x17 + rev x20,x20 +#endif + ld1 {v4.16b,v5.16b,v6.16b,v7.16b},[x1],#64 + eor x5,x5,x6 + add v20.4s,v20.4s,v0.4s + eor x7,x7,x8 + add v21.4s,v21.4s,v1.4s + eor x9,x9,x10 + add v22.4s,v22.4s,v2.4s + eor x11,x11,x12 + add v23.4s,v23.4s,v3.4s + eor x13,x13,x14 + eor v16.16b,v16.16b,v4.16b + movi v4.4s,#5 + eor x15,x15,x16 + eor v17.16b,v17.16b,v5.16b + eor x17,x17,x19 + eor v18.16b,v18.16b,v6.16b + eor x20,x20,x21 + eor v19.16b,v19.16b,v7.16b + add v8.4s,v8.4s,v4.4s // += 5 + ld1 {v4.16b,v5.16b,v6.16b,v7.16b},[x1],#64 + + stp x5,x7,[x0,#0] // store output + add x28,x28,#5 // increment counter + stp x9,x11,[x0,#16] + stp x13,x15,[x0,#32] + stp x17,x20,[x0,#48] + add x0,x0,#64 + + st1 {v16.16b,v17.16b,v18.16b,v19.16b},[x0],#64 + add v24.4s,v24.4s,v0.4s + add v25.4s,v25.4s,v1.4s + add v26.4s,v26.4s,v2.4s + add v27.4s,v27.4s,v3.4s + ld1 {v16.16b,v17.16b,v18.16b,v19.16b},[x1],#64 + + eor v20.16b,v20.16b,v4.16b + eor v21.16b,v21.16b,v5.16b + eor v22.16b,v22.16b,v6.16b + eor v23.16b,v23.16b,v7.16b + st1 {v20.16b,v21.16b,v22.16b,v23.16b},[x0],#64 + add v28.4s,v28.4s,v0.4s + add v29.4s,v29.4s,v1.4s + add v30.4s,v30.4s,v2.4s + add v31.4s,v31.4s,v3.4s + ld1 {v20.16b,v21.16b,v22.16b,v23.16b},[x1],#64 + + eor v24.16b,v24.16b,v16.16b + eor v25.16b,v25.16b,v17.16b + eor v26.16b,v26.16b,v18.16b + eor v27.16b,v27.16b,v19.16b + st1 {v24.16b,v25.16b,v26.16b,v27.16b},[x0],#64 + + eor v28.16b,v28.16b,v20.16b + eor v29.16b,v29.16b,v21.16b + eor v30.16b,v30.16b,v22.16b + eor v31.16b,v31.16b,v23.16b + st1 {v28.16b,v29.16b,v30.16b,v31.16b},[x0],#64 + + b.hi Loop_outer_neon + + ldp d8,d9,[sp] // meet ABI requirements + eor v1.16b,v1.16b,v1.16b // cleanse key and nonce + eor v2.16b,v2.16b,v2.16b + eor v3.16b,v3.16b,v3.16b + + ldp x19,x20,[x29,#2*__SIZEOF_POINTER__] + add sp,sp,#64 + ldp x21,x22,[x29,#4*__SIZEOF_POINTER__] + ldp x23,x24,[x29,#6*__SIZEOF_POINTER__] + ldp x25,x26,[x29,#8*__SIZEOF_POINTER__] + ldp x27,x28,[x29,#10*__SIZEOF_POINTER__] + ldp x29,x30,[sp],#12*__SIZEOF_POINTER__ +.long 0xd50323bf // autiasp + ret + +.align 4 +Ltail_neon: + add x2,x2,#320 + ldp d8,d9,[sp] // meet ABI requirements + cmp x2,#64 + b.lo Less_than_64_neon + + add x5,x5,x6,lsl#32 // pack + add x7,x7,x8,lsl#32 + ldp x6,x8,[x1,#0] // load input + add x9,x9,x10,lsl#32 + add x11,x11,x12,lsl#32 + ldp x10,x12,[x1,#16] + add x13,x13,x14,lsl#32 + add x15,x15,x16,lsl#32 + ldp x14,x16,[x1,#32] + add x17,x17,x19,lsl#32 + add x20,x20,x21,lsl#32 + ldp x19,x21,[x1,#48] + add x1,x1,#64 +#ifdef __AARCH64EB__ + rev x5,x5 + rev x7,x7 + rev x9,x9 + rev x11,x11 + rev x13,x13 + rev x15,x15 + rev x17,x17 + rev x20,x20 +#endif + eor x5,x5,x6 + eor x7,x7,x8 + eor x9,x9,x10 + eor x11,x11,x12 + eor x13,x13,x14 + eor x15,x15,x16 + eor x17,x17,x19 + eor x20,x20,x21 + + stp x5,x7,[x0,#0] // store output + add v16.4s,v16.4s,v0.4s // accumulate key block + stp x9,x11,[x0,#16] + add v17.4s,v17.4s,v1.4s + stp x13,x15,[x0,#32] + add v18.4s,v18.4s,v2.4s + stp x17,x20,[x0,#48] + add v19.4s,v19.4s,v3.4s + add x0,x0,#64 + b.eq Ldone_neon + sub x2,x2,#64 + cmp x2,#64 + b.lo Last_neon + + ld1 {v4.16b,v5.16b,v6.16b,v7.16b},[x1],#64 + eor v16.16b,v16.16b,v4.16b + eor v17.16b,v17.16b,v5.16b + eor v18.16b,v18.16b,v6.16b + eor v19.16b,v19.16b,v7.16b + st1 {v16.16b,v17.16b,v18.16b,v19.16b},[x0],#64 + b.eq Ldone_neon + + add v16.4s,v20.4s,v0.4s + add v17.4s,v21.4s,v1.4s + sub x2,x2,#64 + add v18.4s,v22.4s,v2.4s + cmp x2,#64 + add v19.4s,v23.4s,v3.4s + b.lo Last_neon + + ld1 {v4.16b,v5.16b,v6.16b,v7.16b},[x1],#64 + eor v20.16b,v16.16b,v4.16b + eor v21.16b,v17.16b,v5.16b + eor v22.16b,v18.16b,v6.16b + eor v23.16b,v19.16b,v7.16b + st1 {v20.16b,v21.16b,v22.16b,v23.16b},[x0],#64 + b.eq Ldone_neon + + add v16.4s,v24.4s,v0.4s + add v17.4s,v25.4s,v1.4s + sub x2,x2,#64 + add v18.4s,v26.4s,v2.4s + cmp x2,#64 + add v19.4s,v27.4s,v3.4s + b.lo Last_neon + + ld1 {v4.16b,v5.16b,v6.16b,v7.16b},[x1],#64 + eor v24.16b,v16.16b,v4.16b + eor v25.16b,v17.16b,v5.16b + eor v26.16b,v18.16b,v6.16b + eor v27.16b,v19.16b,v7.16b + st1 {v24.16b,v25.16b,v26.16b,v27.16b},[x0],#64 + b.eq Ldone_neon + + add v16.4s,v28.4s,v0.4s + add v17.4s,v29.4s,v1.4s + add v18.4s,v30.4s,v2.4s + add v19.4s,v31.4s,v3.4s + sub x2,x2,#64 + +Last_neon: + st1 {v16.16b,v17.16b,v18.16b,v19.16b},[sp] // off-load complete block + + sub x0,x0,#1 + add x1,x1,x2 + add x0,x0,x2 + add x4,sp,x2 + neg x2,x2 + +Loop_tail_neon: + ldrb w10,[x1,x2] + ldrb w11,[x4,x2] + add x2,x2,#1 + eor w10,w10,w11 + strb w10,[x0,x2] + cbnz x2,Loop_tail_neon + + stp q0,q0,[sp,#0] // wipe off-load area + stp q0,q0,[sp,#32] // [with known constant] + +Ldone_neon: + eor v1.16b,v1.16b,v1.16b // cleanse key and nonce + eor v2.16b,v2.16b,v2.16b + eor v3.16b,v3.16b,v3.16b + + ldp x19,x20,[x29,#2*__SIZEOF_POINTER__] + add sp,sp,#64 + ldp x21,x22,[x29,#4*__SIZEOF_POINTER__] + ldp x23,x24,[x29,#6*__SIZEOF_POINTER__] + ldp x25,x26,[x29,#8*__SIZEOF_POINTER__] + ldp x27,x28,[x29,#10*__SIZEOF_POINTER__] + ldp x29,x30,[sp],#12*__SIZEOF_POINTER__ +.long 0xd50323bf // autiasp + ret + +.align 4 +Less_than_64_neon: + eor v1.16b,v1.16b,v1.16b // cleanse key and nonce + eor v2.16b,v2.16b,v2.16b + eor v3.16b,v3.16b,v3.16b + b Less_than_64 + + +.align 5 +crypton_chacha20_asm_512_neon: +.long 0xd503233f // paciasp + stp x29,x30,[sp,#-12*__SIZEOF_POINTER__]! + add x29,sp,#0 + + adr x5,Lsigma + stp x19,x20,[sp,#2*__SIZEOF_POINTER__] + stp x21,x22,[sp,#4*__SIZEOF_POINTER__] + stp x23,x24,[sp,#6*__SIZEOF_POINTER__] + stp x25,x26,[sp,#8*__SIZEOF_POINTER__] + stp x27,x28,[sp,#10*__SIZEOF_POINTER__] + +L512_or_more_neon: + sub sp,sp,#128+64 + + eor v7.16b,v7.16b,v7.16b + ldp x22,x23,[x5] // load sigma + ld1 {v0.4s},[x5],#16 + ldp x24,x25,[x3] // load key + ldp x26,x27,[x3,#16] + ld1 {v1.4s,v2.4s},[x3] + ldp x28,x30,[x4] // load counter + ld1 {v3.4s},[x4] + ld1 {v7.s}[0],[x5] + add x3,x5,#16 +#ifdef __AARCH64EB__ + rev64 v0.4s,v0.4s + ror x24,x24,#32 + ror x25,x25,#32 + ror x26,x26,#32 + ror x27,x27,#32 + ror x28,x28,#32 + ror x30,x30,#32 +#endif + add v3.4s,v3.4s,v7.4s // += 1 + stp q0,q1,[sp,#0] // off-load key block, invariant part + add v3.4s,v3.4s,v7.4s // not typo + str q2,[sp,#32] + add v4.4s,v3.4s,v7.4s + add v5.4s,v4.4s,v7.4s + add v6.4s,v5.4s,v7.4s + shl v7.4s,v7.4s,#2 // 1 -> 4 + + stp d8,d9,[sp,#128+0] // meet ABI requirements + stp d10,d11,[sp,#128+16] + stp d12,d13,[sp,#128+32] + stp d14,d15,[sp,#128+48] + + sub x2,x2,#512 // not typo + +Loop_outer_512_neon: + mov v8.16b,v0.16b + mov v12.16b,v0.16b + mov v16.16b,v0.16b + mov v20.16b,v0.16b + mov v24.16b,v0.16b + mov v28.16b,v0.16b + mov v9.16b,v1.16b + mov w5,w22 // unpack key block + mov v13.16b,v1.16b + lsr x6,x22,#32 + mov v17.16b,v1.16b + mov w7,w23 + mov v21.16b,v1.16b + lsr x8,x23,#32 + mov v25.16b,v1.16b + mov w9,w24 + mov v29.16b,v1.16b + lsr x10,x24,#32 + mov v11.16b,v3.16b + mov w11,w25 + mov v15.16b,v4.16b + lsr x12,x25,#32 + mov v19.16b,v5.16b + mov w13,w26 + mov v23.16b,v6.16b + lsr x14,x26,#32 + mov v10.16b,v2.16b + mov w15,w27 + mov v14.16b,v2.16b + lsr x16,x27,#32 + add v27.4s,v11.4s,v7.4s // +4 + mov w17,w28 + add v31.4s,v15.4s,v7.4s // +4 + lsr x19,x28,#32 + mov v18.16b,v2.16b + mov w20,w30 + mov v22.16b,v2.16b + lsr x21,x30,#32 + mov v26.16b,v2.16b + stp q3,q4,[sp,#48] // off-load key block, variable part + mov v30.16b,v2.16b + stp q5,q6,[sp,#80] + + mov x4,#5 + ld1 {v6.4s},[x3] + subs x2,x2,#512 +Loop_upper_neon: + sub x4,x4,#1 + add v8.4s,v8.4s,v9.4s + add w5,w5,w9 + add v12.4s,v12.4s,v13.4s + add w6,w6,w10 + add v16.4s,v16.4s,v17.4s + add w7,w7,w11 + add v20.4s,v20.4s,v21.4s + add w8,w8,w12 + add v24.4s,v24.4s,v25.4s + eor w17,w17,w5 + add v28.4s,v28.4s,v29.4s + eor w19,w19,w6 + eor v11.16b,v11.16b,v8.16b + eor w20,w20,w7 + eor v15.16b,v15.16b,v12.16b + eor w21,w21,w8 + eor v19.16b,v19.16b,v16.16b + ror w17,w17,#16 + eor v23.16b,v23.16b,v20.16b + ror w19,w19,#16 + eor v27.16b,v27.16b,v24.16b + ror w20,w20,#16 + eor v31.16b,v31.16b,v28.16b + ror w21,w21,#16 + rev32 v11.8h,v11.8h + add w13,w13,w17 + rev32 v15.8h,v15.8h + add w14,w14,w19 + rev32 v19.8h,v19.8h + add w15,w15,w20 + rev32 v23.8h,v23.8h + add w16,w16,w21 + rev32 v27.8h,v27.8h + eor w9,w9,w13 + rev32 v31.8h,v31.8h + eor w10,w10,w14 + add v10.4s,v10.4s,v11.4s + eor w11,w11,w15 + add v14.4s,v14.4s,v15.4s + eor w12,w12,w16 + add v18.4s,v18.4s,v19.4s + ror w9,w9,#20 + add v22.4s,v22.4s,v23.4s + ror w10,w10,#20 + add v26.4s,v26.4s,v27.4s + ror w11,w11,#20 + add v30.4s,v30.4s,v31.4s + ror w12,w12,#20 + eor v0.16b,v9.16b,v10.16b + add w5,w5,w9 + eor v1.16b,v13.16b,v14.16b + add w6,w6,w10 + eor v2.16b,v17.16b,v18.16b + add w7,w7,w11 + eor v3.16b,v21.16b,v22.16b + add w8,w8,w12 + eor v4.16b,v25.16b,v26.16b + eor w17,w17,w5 + eor v5.16b,v29.16b,v30.16b + eor w19,w19,w6 + ushr v9.4s,v0.4s,#20 + eor w20,w20,w7 + ushr v13.4s,v1.4s,#20 + eor w21,w21,w8 + ushr v17.4s,v2.4s,#20 + ror w17,w17,#24 + ushr v21.4s,v3.4s,#20 + ror w19,w19,#24 + ushr v25.4s,v4.4s,#20 + ror w20,w20,#24 + ushr v29.4s,v5.4s,#20 + ror w21,w21,#24 + sli v9.4s,v0.4s,#12 + add w13,w13,w17 + sli v13.4s,v1.4s,#12 + add w14,w14,w19 + sli v17.4s,v2.4s,#12 + add w15,w15,w20 + sli v21.4s,v3.4s,#12 + add w16,w16,w21 + sli v25.4s,v4.4s,#12 + eor w9,w9,w13 + sli v29.4s,v5.4s,#12 + eor w10,w10,w14 + add v8.4s,v8.4s,v9.4s + eor w11,w11,w15 + add v12.4s,v12.4s,v13.4s + eor w12,w12,w16 + add v16.4s,v16.4s,v17.4s + ror w9,w9,#25 + add v20.4s,v20.4s,v21.4s + ror w10,w10,#25 + add v24.4s,v24.4s,v25.4s + ror w11,w11,#25 + add v28.4s,v28.4s,v29.4s + ror w12,w12,#25 + eor v11.16b,v11.16b,v8.16b + add w5,w5,w10 + eor v15.16b,v15.16b,v12.16b + add w6,w6,w11 + eor v19.16b,v19.16b,v16.16b + add w7,w7,w12 + eor v23.16b,v23.16b,v20.16b + add w8,w8,w9 + eor v27.16b,v27.16b,v24.16b + eor w21,w21,w5 + eor v31.16b,v31.16b,v28.16b + eor w17,w17,w6 + tbl v11.16b,{v11.16b},v6.16b + eor w19,w19,w7 + tbl v15.16b,{v15.16b},v6.16b + eor w20,w20,w8 + tbl v19.16b,{v19.16b},v6.16b + ror w21,w21,#16 + tbl v23.16b,{v23.16b},v6.16b + ror w17,w17,#16 + tbl v27.16b,{v27.16b},v6.16b + ror w19,w19,#16 + tbl v31.16b,{v31.16b},v6.16b + ror w20,w20,#16 + add v10.4s,v10.4s,v11.4s + add w15,w15,w21 + add v14.4s,v14.4s,v15.4s + add w16,w16,w17 + add v18.4s,v18.4s,v19.4s + add w13,w13,w19 + add v22.4s,v22.4s,v23.4s + add w14,w14,w20 + add v26.4s,v26.4s,v27.4s + eor w10,w10,w15 + add v30.4s,v30.4s,v31.4s + eor w11,w11,w16 + eor v0.16b,v9.16b,v10.16b + eor w12,w12,w13 + eor v1.16b,v13.16b,v14.16b + eor w9,w9,w14 + eor v2.16b,v17.16b,v18.16b + ror w10,w10,#20 + eor v3.16b,v21.16b,v22.16b + ror w11,w11,#20 + eor v4.16b,v25.16b,v26.16b + ror w12,w12,#20 + eor v5.16b,v29.16b,v30.16b + ror w9,w9,#20 + ushr v9.4s,v0.4s,#25 + add w5,w5,w10 + ushr v13.4s,v1.4s,#25 + add w6,w6,w11 + ushr v17.4s,v2.4s,#25 + add w7,w7,w12 + ushr v21.4s,v3.4s,#25 + add w8,w8,w9 + ushr v25.4s,v4.4s,#25 + eor w21,w21,w5 + ushr v29.4s,v5.4s,#25 + eor w17,w17,w6 + sli v9.4s,v0.4s,#7 + eor w19,w19,w7 + sli v13.4s,v1.4s,#7 + eor w20,w20,w8 + sli v17.4s,v2.4s,#7 + ror w21,w21,#24 + sli v21.4s,v3.4s,#7 + ror w17,w17,#24 + sli v25.4s,v4.4s,#7 + ror w19,w19,#24 + sli v29.4s,v5.4s,#7 + ror w20,w20,#24 + ext v10.16b,v10.16b,v10.16b,#8 + add w15,w15,w21 + ext v14.16b,v14.16b,v14.16b,#8 + add w16,w16,w17 + ext v18.16b,v18.16b,v18.16b,#8 + add w13,w13,w19 + ext v22.16b,v22.16b,v22.16b,#8 + add w14,w14,w20 + ext v26.16b,v26.16b,v26.16b,#8 + eor w10,w10,w15 + ext v30.16b,v30.16b,v30.16b,#8 + eor w11,w11,w16 + ext v11.16b,v11.16b,v11.16b,#12 + eor w12,w12,w13 + ext v15.16b,v15.16b,v15.16b,#12 + eor w9,w9,w14 + ext v19.16b,v19.16b,v19.16b,#12 + ror w10,w10,#25 + ext v23.16b,v23.16b,v23.16b,#12 + ror w11,w11,#25 + ext v27.16b,v27.16b,v27.16b,#12 + ror w12,w12,#25 + ext v31.16b,v31.16b,v31.16b,#12 + ror w9,w9,#25 + ext v9.16b,v9.16b,v9.16b,#4 + ext v13.16b,v13.16b,v13.16b,#4 + ext v17.16b,v17.16b,v17.16b,#4 + ext v21.16b,v21.16b,v21.16b,#4 + ext v25.16b,v25.16b,v25.16b,#4 + ext v29.16b,v29.16b,v29.16b,#4 + add v8.4s,v8.4s,v9.4s + add w5,w5,w9 + add v12.4s,v12.4s,v13.4s + add w6,w6,w10 + add v16.4s,v16.4s,v17.4s + add w7,w7,w11 + add v20.4s,v20.4s,v21.4s + add w8,w8,w12 + add v24.4s,v24.4s,v25.4s + eor w17,w17,w5 + add v28.4s,v28.4s,v29.4s + eor w19,w19,w6 + eor v11.16b,v11.16b,v8.16b + eor w20,w20,w7 + eor v15.16b,v15.16b,v12.16b + eor w21,w21,w8 + eor v19.16b,v19.16b,v16.16b + ror w17,w17,#16 + eor v23.16b,v23.16b,v20.16b + ror w19,w19,#16 + eor v27.16b,v27.16b,v24.16b + ror w20,w20,#16 + eor v31.16b,v31.16b,v28.16b + ror w21,w21,#16 + rev32 v11.8h,v11.8h + add w13,w13,w17 + rev32 v15.8h,v15.8h + add w14,w14,w19 + rev32 v19.8h,v19.8h + add w15,w15,w20 + rev32 v23.8h,v23.8h + add w16,w16,w21 + rev32 v27.8h,v27.8h + eor w9,w9,w13 + rev32 v31.8h,v31.8h + eor w10,w10,w14 + add v10.4s,v10.4s,v11.4s + eor w11,w11,w15 + add v14.4s,v14.4s,v15.4s + eor w12,w12,w16 + add v18.4s,v18.4s,v19.4s + ror w9,w9,#20 + add v22.4s,v22.4s,v23.4s + ror w10,w10,#20 + add v26.4s,v26.4s,v27.4s + ror w11,w11,#20 + add v30.4s,v30.4s,v31.4s + ror w12,w12,#20 + eor v0.16b,v9.16b,v10.16b + add w5,w5,w9 + eor v1.16b,v13.16b,v14.16b + add w6,w6,w10 + eor v2.16b,v17.16b,v18.16b + add w7,w7,w11 + eor v3.16b,v21.16b,v22.16b + add w8,w8,w12 + eor v4.16b,v25.16b,v26.16b + eor w17,w17,w5 + eor v5.16b,v29.16b,v30.16b + eor w19,w19,w6 + ushr v9.4s,v0.4s,#20 + eor w20,w20,w7 + ushr v13.4s,v1.4s,#20 + eor w21,w21,w8 + ushr v17.4s,v2.4s,#20 + ror w17,w17,#24 + ushr v21.4s,v3.4s,#20 + ror w19,w19,#24 + ushr v25.4s,v4.4s,#20 + ror w20,w20,#24 + ushr v29.4s,v5.4s,#20 + ror w21,w21,#24 + sli v9.4s,v0.4s,#12 + add w13,w13,w17 + sli v13.4s,v1.4s,#12 + add w14,w14,w19 + sli v17.4s,v2.4s,#12 + add w15,w15,w20 + sli v21.4s,v3.4s,#12 + add w16,w16,w21 + sli v25.4s,v4.4s,#12 + eor w9,w9,w13 + sli v29.4s,v5.4s,#12 + eor w10,w10,w14 + add v8.4s,v8.4s,v9.4s + eor w11,w11,w15 + add v12.4s,v12.4s,v13.4s + eor w12,w12,w16 + add v16.4s,v16.4s,v17.4s + ror w9,w9,#25 + add v20.4s,v20.4s,v21.4s + ror w10,w10,#25 + add v24.4s,v24.4s,v25.4s + ror w11,w11,#25 + add v28.4s,v28.4s,v29.4s + ror w12,w12,#25 + eor v11.16b,v11.16b,v8.16b + add w5,w5,w10 + eor v15.16b,v15.16b,v12.16b + add w6,w6,w11 + eor v19.16b,v19.16b,v16.16b + add w7,w7,w12 + eor v23.16b,v23.16b,v20.16b + add w8,w8,w9 + eor v27.16b,v27.16b,v24.16b + eor w21,w21,w5 + eor v31.16b,v31.16b,v28.16b + eor w17,w17,w6 + tbl v11.16b,{v11.16b},v6.16b + eor w19,w19,w7 + tbl v15.16b,{v15.16b},v6.16b + eor w20,w20,w8 + tbl v19.16b,{v19.16b},v6.16b + ror w21,w21,#16 + tbl v23.16b,{v23.16b},v6.16b + ror w17,w17,#16 + tbl v27.16b,{v27.16b},v6.16b + ror w19,w19,#16 + tbl v31.16b,{v31.16b},v6.16b + ror w20,w20,#16 + add v10.4s,v10.4s,v11.4s + add w15,w15,w21 + add v14.4s,v14.4s,v15.4s + add w16,w16,w17 + add v18.4s,v18.4s,v19.4s + add w13,w13,w19 + add v22.4s,v22.4s,v23.4s + add w14,w14,w20 + add v26.4s,v26.4s,v27.4s + eor w10,w10,w15 + add v30.4s,v30.4s,v31.4s + eor w11,w11,w16 + eor v0.16b,v9.16b,v10.16b + eor w12,w12,w13 + eor v1.16b,v13.16b,v14.16b + eor w9,w9,w14 + eor v2.16b,v17.16b,v18.16b + ror w10,w10,#20 + eor v3.16b,v21.16b,v22.16b + ror w11,w11,#20 + eor v4.16b,v25.16b,v26.16b + ror w12,w12,#20 + eor v5.16b,v29.16b,v30.16b + ror w9,w9,#20 + ushr v9.4s,v0.4s,#25 + add w5,w5,w10 + ushr v13.4s,v1.4s,#25 + add w6,w6,w11 + ushr v17.4s,v2.4s,#25 + add w7,w7,w12 + ushr v21.4s,v3.4s,#25 + add w8,w8,w9 + ushr v25.4s,v4.4s,#25 + eor w21,w21,w5 + ushr v29.4s,v5.4s,#25 + eor w17,w17,w6 + sli v9.4s,v0.4s,#7 + eor w19,w19,w7 + sli v13.4s,v1.4s,#7 + eor w20,w20,w8 + sli v17.4s,v2.4s,#7 + ror w21,w21,#24 + sli v21.4s,v3.4s,#7 + ror w17,w17,#24 + sli v25.4s,v4.4s,#7 + ror w19,w19,#24 + sli v29.4s,v5.4s,#7 + ror w20,w20,#24 + ext v10.16b,v10.16b,v10.16b,#8 + add w15,w15,w21 + ext v14.16b,v14.16b,v14.16b,#8 + add w16,w16,w17 + ext v18.16b,v18.16b,v18.16b,#8 + add w13,w13,w19 + ext v22.16b,v22.16b,v22.16b,#8 + add w14,w14,w20 + ext v26.16b,v26.16b,v26.16b,#8 + eor w10,w10,w15 + ext v30.16b,v30.16b,v30.16b,#8 + eor w11,w11,w16 + ext v11.16b,v11.16b,v11.16b,#4 + eor w12,w12,w13 + ext v15.16b,v15.16b,v15.16b,#4 + eor w9,w9,w14 + ext v19.16b,v19.16b,v19.16b,#4 + ror w10,w10,#25 + ext v23.16b,v23.16b,v23.16b,#4 + ror w11,w11,#25 + ext v27.16b,v27.16b,v27.16b,#4 + ror w12,w12,#25 + ext v31.16b,v31.16b,v31.16b,#4 + ror w9,w9,#25 + ext v9.16b,v9.16b,v9.16b,#12 + ext v13.16b,v13.16b,v13.16b,#12 + ext v17.16b,v17.16b,v17.16b,#12 + ext v21.16b,v21.16b,v21.16b,#12 + ext v25.16b,v25.16b,v25.16b,#12 + ext v29.16b,v29.16b,v29.16b,#12 + cbnz x4,Loop_upper_neon + + add w5,w5,w22 // accumulate key block + add x6,x6,x22,lsr#32 + add w7,w7,w23 + add x8,x8,x23,lsr#32 + add w9,w9,w24 + add x10,x10,x24,lsr#32 + add w11,w11,w25 + add x12,x12,x25,lsr#32 + add w13,w13,w26 + add x14,x14,x26,lsr#32 + add w15,w15,w27 + add x16,x16,x27,lsr#32 + add w17,w17,w28 + add x19,x19,x28,lsr#32 + add w20,w20,w30 + add x21,x21,x30,lsr#32 + + add x5,x5,x6,lsl#32 // pack + add x7,x7,x8,lsl#32 + ldp x6,x8,[x1,#0] // load input + add x9,x9,x10,lsl#32 + add x11,x11,x12,lsl#32 + ldp x10,x12,[x1,#16] + add x13,x13,x14,lsl#32 + add x15,x15,x16,lsl#32 + ldp x14,x16,[x1,#32] + add x17,x17,x19,lsl#32 + add x20,x20,x21,lsl#32 + ldp x19,x21,[x1,#48] + add x1,x1,#64 +#ifdef __AARCH64EB__ + rev x5,x5 + rev x7,x7 + rev x9,x9 + rev x11,x11 + rev x13,x13 + rev x15,x15 + rev x17,x17 + rev x20,x20 +#endif + eor x5,x5,x6 + eor x7,x7,x8 + eor x9,x9,x10 + eor x11,x11,x12 + eor x13,x13,x14 + eor x15,x15,x16 + eor x17,x17,x19 + eor x20,x20,x21 + + stp x5,x7,[x0,#0] // store output + add x28,x28,#1 // increment counter + mov w5,w22 // unpack key block + lsr x6,x22,#32 + stp x9,x11,[x0,#16] + mov w7,w23 + lsr x8,x23,#32 + stp x13,x15,[x0,#32] + mov w9,w24 + lsr x10,x24,#32 + stp x17,x20,[x0,#48] + add x0,x0,#64 + mov w11,w25 + lsr x12,x25,#32 + mov w13,w26 + lsr x14,x26,#32 + mov w15,w27 + lsr x16,x27,#32 + mov w17,w28 + lsr x19,x28,#32 + mov w20,w30 + lsr x21,x30,#32 + + mov x4,#5 +Loop_lower_neon: + sub x4,x4,#1 + add v8.4s,v8.4s,v9.4s + add w5,w5,w9 + add v12.4s,v12.4s,v13.4s + add w6,w6,w10 + add v16.4s,v16.4s,v17.4s + add w7,w7,w11 + add v20.4s,v20.4s,v21.4s + add w8,w8,w12 + add v24.4s,v24.4s,v25.4s + eor w17,w17,w5 + add v28.4s,v28.4s,v29.4s + eor w19,w19,w6 + eor v11.16b,v11.16b,v8.16b + eor w20,w20,w7 + eor v15.16b,v15.16b,v12.16b + eor w21,w21,w8 + eor v19.16b,v19.16b,v16.16b + ror w17,w17,#16 + eor v23.16b,v23.16b,v20.16b + ror w19,w19,#16 + eor v27.16b,v27.16b,v24.16b + ror w20,w20,#16 + eor v31.16b,v31.16b,v28.16b + ror w21,w21,#16 + rev32 v11.8h,v11.8h + add w13,w13,w17 + rev32 v15.8h,v15.8h + add w14,w14,w19 + rev32 v19.8h,v19.8h + add w15,w15,w20 + rev32 v23.8h,v23.8h + add w16,w16,w21 + rev32 v27.8h,v27.8h + eor w9,w9,w13 + rev32 v31.8h,v31.8h + eor w10,w10,w14 + add v10.4s,v10.4s,v11.4s + eor w11,w11,w15 + add v14.4s,v14.4s,v15.4s + eor w12,w12,w16 + add v18.4s,v18.4s,v19.4s + ror w9,w9,#20 + add v22.4s,v22.4s,v23.4s + ror w10,w10,#20 + add v26.4s,v26.4s,v27.4s + ror w11,w11,#20 + add v30.4s,v30.4s,v31.4s + ror w12,w12,#20 + eor v0.16b,v9.16b,v10.16b + add w5,w5,w9 + eor v1.16b,v13.16b,v14.16b + add w6,w6,w10 + eor v2.16b,v17.16b,v18.16b + add w7,w7,w11 + eor v3.16b,v21.16b,v22.16b + add w8,w8,w12 + eor v4.16b,v25.16b,v26.16b + eor w17,w17,w5 + eor v5.16b,v29.16b,v30.16b + eor w19,w19,w6 + ushr v9.4s,v0.4s,#20 + eor w20,w20,w7 + ushr v13.4s,v1.4s,#20 + eor w21,w21,w8 + ushr v17.4s,v2.4s,#20 + ror w17,w17,#24 + ushr v21.4s,v3.4s,#20 + ror w19,w19,#24 + ushr v25.4s,v4.4s,#20 + ror w20,w20,#24 + ushr v29.4s,v5.4s,#20 + ror w21,w21,#24 + sli v9.4s,v0.4s,#12 + add w13,w13,w17 + sli v13.4s,v1.4s,#12 + add w14,w14,w19 + sli v17.4s,v2.4s,#12 + add w15,w15,w20 + sli v21.4s,v3.4s,#12 + add w16,w16,w21 + sli v25.4s,v4.4s,#12 + eor w9,w9,w13 + sli v29.4s,v5.4s,#12 + eor w10,w10,w14 + add v8.4s,v8.4s,v9.4s + eor w11,w11,w15 + add v12.4s,v12.4s,v13.4s + eor w12,w12,w16 + add v16.4s,v16.4s,v17.4s + ror w9,w9,#25 + add v20.4s,v20.4s,v21.4s + ror w10,w10,#25 + add v24.4s,v24.4s,v25.4s + ror w11,w11,#25 + add v28.4s,v28.4s,v29.4s + ror w12,w12,#25 + eor v11.16b,v11.16b,v8.16b + add w5,w5,w10 + eor v15.16b,v15.16b,v12.16b + add w6,w6,w11 + eor v19.16b,v19.16b,v16.16b + add w7,w7,w12 + eor v23.16b,v23.16b,v20.16b + add w8,w8,w9 + eor v27.16b,v27.16b,v24.16b + eor w21,w21,w5 + eor v31.16b,v31.16b,v28.16b + eor w17,w17,w6 + tbl v11.16b,{v11.16b},v6.16b + eor w19,w19,w7 + tbl v15.16b,{v15.16b},v6.16b + eor w20,w20,w8 + tbl v19.16b,{v19.16b},v6.16b + ror w21,w21,#16 + tbl v23.16b,{v23.16b},v6.16b + ror w17,w17,#16 + tbl v27.16b,{v27.16b},v6.16b + ror w19,w19,#16 + tbl v31.16b,{v31.16b},v6.16b + ror w20,w20,#16 + add v10.4s,v10.4s,v11.4s + add w15,w15,w21 + add v14.4s,v14.4s,v15.4s + add w16,w16,w17 + add v18.4s,v18.4s,v19.4s + add w13,w13,w19 + add v22.4s,v22.4s,v23.4s + add w14,w14,w20 + add v26.4s,v26.4s,v27.4s + eor w10,w10,w15 + add v30.4s,v30.4s,v31.4s + eor w11,w11,w16 + eor v0.16b,v9.16b,v10.16b + eor w12,w12,w13 + eor v1.16b,v13.16b,v14.16b + eor w9,w9,w14 + eor v2.16b,v17.16b,v18.16b + ror w10,w10,#20 + eor v3.16b,v21.16b,v22.16b + ror w11,w11,#20 + eor v4.16b,v25.16b,v26.16b + ror w12,w12,#20 + eor v5.16b,v29.16b,v30.16b + ror w9,w9,#20 + ushr v9.4s,v0.4s,#25 + add w5,w5,w10 + ushr v13.4s,v1.4s,#25 + add w6,w6,w11 + ushr v17.4s,v2.4s,#25 + add w7,w7,w12 + ushr v21.4s,v3.4s,#25 + add w8,w8,w9 + ushr v25.4s,v4.4s,#25 + eor w21,w21,w5 + ushr v29.4s,v5.4s,#25 + eor w17,w17,w6 + sli v9.4s,v0.4s,#7 + eor w19,w19,w7 + sli v13.4s,v1.4s,#7 + eor w20,w20,w8 + sli v17.4s,v2.4s,#7 + ror w21,w21,#24 + sli v21.4s,v3.4s,#7 + ror w17,w17,#24 + sli v25.4s,v4.4s,#7 + ror w19,w19,#24 + sli v29.4s,v5.4s,#7 + ror w20,w20,#24 + ext v10.16b,v10.16b,v10.16b,#8 + add w15,w15,w21 + ext v14.16b,v14.16b,v14.16b,#8 + add w16,w16,w17 + ext v18.16b,v18.16b,v18.16b,#8 + add w13,w13,w19 + ext v22.16b,v22.16b,v22.16b,#8 + add w14,w14,w20 + ext v26.16b,v26.16b,v26.16b,#8 + eor w10,w10,w15 + ext v30.16b,v30.16b,v30.16b,#8 + eor w11,w11,w16 + ext v11.16b,v11.16b,v11.16b,#12 + eor w12,w12,w13 + ext v15.16b,v15.16b,v15.16b,#12 + eor w9,w9,w14 + ext v19.16b,v19.16b,v19.16b,#12 + ror w10,w10,#25 + ext v23.16b,v23.16b,v23.16b,#12 + ror w11,w11,#25 + ext v27.16b,v27.16b,v27.16b,#12 + ror w12,w12,#25 + ext v31.16b,v31.16b,v31.16b,#12 + ror w9,w9,#25 + ext v9.16b,v9.16b,v9.16b,#4 + ext v13.16b,v13.16b,v13.16b,#4 + ext v17.16b,v17.16b,v17.16b,#4 + ext v21.16b,v21.16b,v21.16b,#4 + ext v25.16b,v25.16b,v25.16b,#4 + ext v29.16b,v29.16b,v29.16b,#4 + add v8.4s,v8.4s,v9.4s + add w5,w5,w9 + add v12.4s,v12.4s,v13.4s + add w6,w6,w10 + add v16.4s,v16.4s,v17.4s + add w7,w7,w11 + add v20.4s,v20.4s,v21.4s + add w8,w8,w12 + add v24.4s,v24.4s,v25.4s + eor w17,w17,w5 + add v28.4s,v28.4s,v29.4s + eor w19,w19,w6 + eor v11.16b,v11.16b,v8.16b + eor w20,w20,w7 + eor v15.16b,v15.16b,v12.16b + eor w21,w21,w8 + eor v19.16b,v19.16b,v16.16b + ror w17,w17,#16 + eor v23.16b,v23.16b,v20.16b + ror w19,w19,#16 + eor v27.16b,v27.16b,v24.16b + ror w20,w20,#16 + eor v31.16b,v31.16b,v28.16b + ror w21,w21,#16 + rev32 v11.8h,v11.8h + add w13,w13,w17 + rev32 v15.8h,v15.8h + add w14,w14,w19 + rev32 v19.8h,v19.8h + add w15,w15,w20 + rev32 v23.8h,v23.8h + add w16,w16,w21 + rev32 v27.8h,v27.8h + eor w9,w9,w13 + rev32 v31.8h,v31.8h + eor w10,w10,w14 + add v10.4s,v10.4s,v11.4s + eor w11,w11,w15 + add v14.4s,v14.4s,v15.4s + eor w12,w12,w16 + add v18.4s,v18.4s,v19.4s + ror w9,w9,#20 + add v22.4s,v22.4s,v23.4s + ror w10,w10,#20 + add v26.4s,v26.4s,v27.4s + ror w11,w11,#20 + add v30.4s,v30.4s,v31.4s + ror w12,w12,#20 + eor v0.16b,v9.16b,v10.16b + add w5,w5,w9 + eor v1.16b,v13.16b,v14.16b + add w6,w6,w10 + eor v2.16b,v17.16b,v18.16b + add w7,w7,w11 + eor v3.16b,v21.16b,v22.16b + add w8,w8,w12 + eor v4.16b,v25.16b,v26.16b + eor w17,w17,w5 + eor v5.16b,v29.16b,v30.16b + eor w19,w19,w6 + ushr v9.4s,v0.4s,#20 + eor w20,w20,w7 + ushr v13.4s,v1.4s,#20 + eor w21,w21,w8 + ushr v17.4s,v2.4s,#20 + ror w17,w17,#24 + ushr v21.4s,v3.4s,#20 + ror w19,w19,#24 + ushr v25.4s,v4.4s,#20 + ror w20,w20,#24 + ushr v29.4s,v5.4s,#20 + ror w21,w21,#24 + sli v9.4s,v0.4s,#12 + add w13,w13,w17 + sli v13.4s,v1.4s,#12 + add w14,w14,w19 + sli v17.4s,v2.4s,#12 + add w15,w15,w20 + sli v21.4s,v3.4s,#12 + add w16,w16,w21 + sli v25.4s,v4.4s,#12 + eor w9,w9,w13 + sli v29.4s,v5.4s,#12 + eor w10,w10,w14 + add v8.4s,v8.4s,v9.4s + eor w11,w11,w15 + add v12.4s,v12.4s,v13.4s + eor w12,w12,w16 + add v16.4s,v16.4s,v17.4s + ror w9,w9,#25 + add v20.4s,v20.4s,v21.4s + ror w10,w10,#25 + add v24.4s,v24.4s,v25.4s + ror w11,w11,#25 + add v28.4s,v28.4s,v29.4s + ror w12,w12,#25 + eor v11.16b,v11.16b,v8.16b + add w5,w5,w10 + eor v15.16b,v15.16b,v12.16b + add w6,w6,w11 + eor v19.16b,v19.16b,v16.16b + add w7,w7,w12 + eor v23.16b,v23.16b,v20.16b + add w8,w8,w9 + eor v27.16b,v27.16b,v24.16b + eor w21,w21,w5 + eor v31.16b,v31.16b,v28.16b + eor w17,w17,w6 + tbl v11.16b,{v11.16b},v6.16b + eor w19,w19,w7 + tbl v15.16b,{v15.16b},v6.16b + eor w20,w20,w8 + tbl v19.16b,{v19.16b},v6.16b + ror w21,w21,#16 + tbl v23.16b,{v23.16b},v6.16b + ror w17,w17,#16 + tbl v27.16b,{v27.16b},v6.16b + ror w19,w19,#16 + tbl v31.16b,{v31.16b},v6.16b + ror w20,w20,#16 + add v10.4s,v10.4s,v11.4s + add w15,w15,w21 + add v14.4s,v14.4s,v15.4s + add w16,w16,w17 + add v18.4s,v18.4s,v19.4s + add w13,w13,w19 + add v22.4s,v22.4s,v23.4s + add w14,w14,w20 + add v26.4s,v26.4s,v27.4s + eor w10,w10,w15 + add v30.4s,v30.4s,v31.4s + eor w11,w11,w16 + eor v0.16b,v9.16b,v10.16b + eor w12,w12,w13 + eor v1.16b,v13.16b,v14.16b + eor w9,w9,w14 + eor v2.16b,v17.16b,v18.16b + ror w10,w10,#20 + eor v3.16b,v21.16b,v22.16b + ror w11,w11,#20 + eor v4.16b,v25.16b,v26.16b + ror w12,w12,#20 + eor v5.16b,v29.16b,v30.16b + ror w9,w9,#20 + ushr v9.4s,v0.4s,#25 + add w5,w5,w10 + ushr v13.4s,v1.4s,#25 + add w6,w6,w11 + ushr v17.4s,v2.4s,#25 + add w7,w7,w12 + ushr v21.4s,v3.4s,#25 + add w8,w8,w9 + ushr v25.4s,v4.4s,#25 + eor w21,w21,w5 + ushr v29.4s,v5.4s,#25 + eor w17,w17,w6 + sli v9.4s,v0.4s,#7 + eor w19,w19,w7 + sli v13.4s,v1.4s,#7 + eor w20,w20,w8 + sli v17.4s,v2.4s,#7 + ror w21,w21,#24 + sli v21.4s,v3.4s,#7 + ror w17,w17,#24 + sli v25.4s,v4.4s,#7 + ror w19,w19,#24 + sli v29.4s,v5.4s,#7 + ror w20,w20,#24 + ext v10.16b,v10.16b,v10.16b,#8 + add w15,w15,w21 + ext v14.16b,v14.16b,v14.16b,#8 + add w16,w16,w17 + ext v18.16b,v18.16b,v18.16b,#8 + add w13,w13,w19 + ext v22.16b,v22.16b,v22.16b,#8 + add w14,w14,w20 + ext v26.16b,v26.16b,v26.16b,#8 + eor w10,w10,w15 + ext v30.16b,v30.16b,v30.16b,#8 + eor w11,w11,w16 + ext v11.16b,v11.16b,v11.16b,#4 + eor w12,w12,w13 + ext v15.16b,v15.16b,v15.16b,#4 + eor w9,w9,w14 + ext v19.16b,v19.16b,v19.16b,#4 + ror w10,w10,#25 + ext v23.16b,v23.16b,v23.16b,#4 + ror w11,w11,#25 + ext v27.16b,v27.16b,v27.16b,#4 + ror w12,w12,#25 + ext v31.16b,v31.16b,v31.16b,#4 + ror w9,w9,#25 + ext v9.16b,v9.16b,v9.16b,#12 + ext v13.16b,v13.16b,v13.16b,#12 + ext v17.16b,v17.16b,v17.16b,#12 + ext v21.16b,v21.16b,v21.16b,#12 + ext v25.16b,v25.16b,v25.16b,#12 + ext v29.16b,v29.16b,v29.16b,#12 + cbnz x4,Loop_lower_neon + + add w5,w5,w22 // accumulate key block + ldp q0,q1,[sp,#0] + add x6,x6,x22,lsr#32 + ldp q2,q3,[sp,#32] + add w7,w7,w23 + ldp q4,q5,[sp,#64] + add x8,x8,x23,lsr#32 + ldr q6,[sp,#96] + add v8.4s,v8.4s,v0.4s + add w9,w9,w24 + add v12.4s,v12.4s,v0.4s + add x10,x10,x24,lsr#32 + add v16.4s,v16.4s,v0.4s + add w11,w11,w25 + add v20.4s,v20.4s,v0.4s + add x12,x12,x25,lsr#32 + add v24.4s,v24.4s,v0.4s + add w13,w13,w26 + add v28.4s,v28.4s,v0.4s + add x14,x14,x26,lsr#32 + add v10.4s,v10.4s,v2.4s + add w15,w15,w27 + add v14.4s,v14.4s,v2.4s + add x16,x16,x27,lsr#32 + add v18.4s,v18.4s,v2.4s + add w17,w17,w28 + add v22.4s,v22.4s,v2.4s + add x19,x19,x28,lsr#32 + add v26.4s,v26.4s,v2.4s + add w20,w20,w30 + add v30.4s,v30.4s,v2.4s + add x21,x21,x30,lsr#32 + add v27.4s,v27.4s,v7.4s // +4 + add x5,x5,x6,lsl#32 // pack + add v31.4s,v31.4s,v7.4s // +4 + add x7,x7,x8,lsl#32 + add v11.4s,v11.4s,v3.4s + ldp x6,x8,[x1,#0] // load input + add v15.4s,v15.4s,v4.4s + add x9,x9,x10,lsl#32 + add v19.4s,v19.4s,v5.4s + add x11,x11,x12,lsl#32 + add v23.4s,v23.4s,v6.4s + ldp x10,x12,[x1,#16] + add v27.4s,v27.4s,v3.4s + add x13,x13,x14,lsl#32 + add v31.4s,v31.4s,v4.4s + add x15,x15,x16,lsl#32 + add v9.4s,v9.4s,v1.4s + ldp x14,x16,[x1,#32] + add v13.4s,v13.4s,v1.4s + add x17,x17,x19,lsl#32 + add v17.4s,v17.4s,v1.4s + add x20,x20,x21,lsl#32 + add v21.4s,v21.4s,v1.4s + ldp x19,x21,[x1,#48] + add v25.4s,v25.4s,v1.4s + add x1,x1,#64 + add v29.4s,v29.4s,v1.4s + +#ifdef __AARCH64EB__ + rev x5,x5 + rev x7,x7 + rev x9,x9 + rev x11,x11 + rev x13,x13 + rev x15,x15 + rev x17,x17 + rev x20,x20 +#endif + ld1 {v0.16b,v1.16b,v2.16b,v3.16b},[x1],#64 + eor x5,x5,x6 + eor x7,x7,x8 + eor x9,x9,x10 + eor x11,x11,x12 + eor x13,x13,x14 + eor v8.16b,v8.16b,v0.16b + eor x15,x15,x16 + eor v9.16b,v9.16b,v1.16b + eor x17,x17,x19 + eor v10.16b,v10.16b,v2.16b + eor x20,x20,x21 + eor v11.16b,v11.16b,v3.16b + ld1 {v0.16b,v1.16b,v2.16b,v3.16b},[x1],#64 + + stp x5,x7,[x0,#0] // store output + add x28,x28,#7 // increment counter + stp x9,x11,[x0,#16] + stp x13,x15,[x0,#32] + stp x17,x20,[x0,#48] + add x0,x0,#64 + st1 {v8.16b,v9.16b,v10.16b,v11.16b},[x0],#64 + + ld1 {v8.16b,v9.16b,v10.16b,v11.16b},[x1],#64 + eor v12.16b,v12.16b,v0.16b + eor v13.16b,v13.16b,v1.16b + eor v14.16b,v14.16b,v2.16b + eor v15.16b,v15.16b,v3.16b + st1 {v12.16b,v13.16b,v14.16b,v15.16b},[x0],#64 + + ld1 {v12.16b,v13.16b,v14.16b,v15.16b},[x1],#64 + eor v16.16b,v16.16b,v8.16b + ldp q0,q1,[sp,#0] + eor v17.16b,v17.16b,v9.16b + ldp q2,q3,[sp,#32] + eor v18.16b,v18.16b,v10.16b + eor v19.16b,v19.16b,v11.16b + st1 {v16.16b,v17.16b,v18.16b,v19.16b},[x0],#64 + + ld1 {v16.16b,v17.16b,v18.16b,v19.16b},[x1],#64 + eor v20.16b,v20.16b,v12.16b + eor v21.16b,v21.16b,v13.16b + eor v22.16b,v22.16b,v14.16b + eor v23.16b,v23.16b,v15.16b + st1 {v20.16b,v21.16b,v22.16b,v23.16b},[x0],#64 + + ld1 {v20.16b,v21.16b,v22.16b,v23.16b},[x1],#64 + eor v24.16b,v24.16b,v16.16b + eor v25.16b,v25.16b,v17.16b + eor v26.16b,v26.16b,v18.16b + eor v27.16b,v27.16b,v19.16b + st1 {v24.16b,v25.16b,v26.16b,v27.16b},[x0],#64 + + shl v8.4s,v7.4s,#1 // 4 -> 8 + eor v28.16b,v28.16b,v20.16b + eor v29.16b,v29.16b,v21.16b + eor v30.16b,v30.16b,v22.16b + eor v31.16b,v31.16b,v23.16b + st1 {v28.16b,v29.16b,v30.16b,v31.16b},[x0],#64 + + add v3.4s,v3.4s,v8.4s // += 8 + add v4.4s,v4.4s,v8.4s + add v5.4s,v5.4s,v8.4s + add v6.4s,v6.4s,v8.4s + + b.hs Loop_outer_512_neon + + adds x2,x2,#512 + ushr v7.4s,v7.4s,#1 // 4 -> 2 + + ldp d10,d11,[sp,#128+16] // meet ABI requirements + ldp d12,d13,[sp,#128+32] + ldp d14,d15,[sp,#128+48] + + stp q0,q0,[sp,#16] // wipe key off-load area + stp q0,q0,[sp,#48] // [with known constant] + stp q0,q0,[sp,#80] + + b.eq Ldone_512_neon + + // we have <512 bytes tail, harmonize state with other contexts + sub x3,x3,#16 + cmp x2,#192 + add sp,sp,#128 + sub v3.4s,v3.4s,v7.4s // -= 2 + ld1 {v8.4s,v9.4s},[x3] + b.hs Loop_outer_neon + + ldp d8,d9,[sp,#0] // meet ABI requirements + eor v1.16b,v1.16b,v1.16b // cleanse key and nonce + eor v2.16b,v2.16b,v2.16b + eor v3.16b,v3.16b,v3.16b + eor v4.16b,v4.16b,v4.16b + eor v5.16b,v5.16b,v5.16b + eor v6.16b,v6.16b,v6.16b + b Loop_outer + +Ldone_512_neon: + ldp d8,d9,[sp,#128+0] // meet ABI requirements + eor v1.16b,v1.16b,v1.16b // cleanse key and nonce + eor v2.16b,v2.16b,v2.16b + eor v3.16b,v3.16b,v3.16b + eor v4.16b,v4.16b,v4.16b + eor v5.16b,v5.16b,v5.16b + eor v6.16b,v6.16b,v6.16b + + ldp x19,x20,[x29,#2*__SIZEOF_POINTER__] + add sp,sp,#128+64 + ldp x21,x22,[x29,#4*__SIZEOF_POINTER__] + ldp x23,x24,[x29,#6*__SIZEOF_POINTER__] + ldp x25,x26,[x29,#8*__SIZEOF_POINTER__] + ldp x27,x28,[x29,#10*__SIZEOF_POINTER__] + ldp x29,x30,[sp],#12*__SIZEOF_POINTER__ +.long 0xd50323bf // autiasp + ret + diff --git a/cbits/asm/chacha-armv8-linux64.S b/cbits/asm/chacha-armv8-linux64.S new file mode 100644 --- /dev/null +++ b/cbits/asm/chacha-armv8-linux64.S @@ -0,0 +1,2055 @@ +#ifndef __KERNEL__ +# include "arm_arch.h" + +#endif + +.text + +.align 5 +.Lsigma: +.quad 0x3320646e61707865,0x6b20657479622d32 // endian-neutral +.Lone: +.long 1,2,3,4 +.Lrot24: +.long 0x02010003,0x06050407,0x0a09080b,0x0e0d0c0f +.byte 67,104,97,67,104,97,50,48,32,102,111,114,32,65,82,77,118,56,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.align 2 + +.globl crypton_chacha20_asm_ctr32 +.type crypton_chacha20_asm_ctr32,%function +.align 5 +crypton_chacha20_asm_ctr32: + cbz x2,.Labort + cmp x2,#192 + b.lo .Lshort + +#ifndef __KERNEL__ + adrp x17,crypton_armcap_P + ldr w17,[x17,#:lo12:crypton_armcap_P] + tst w17,#ARMV7_NEON + b.ne .Lcrypton_chacha20_asm_neon +#endif + +.Lshort: +.inst 0xd503233f // paciasp + stp x29,x30,[sp,#-12*__SIZEOF_POINTER__]! + add x29,sp,#0 + + adr x5,.Lsigma + stp x19,x20,[sp,#2*__SIZEOF_POINTER__] + stp x21,x22,[sp,#4*__SIZEOF_POINTER__] + stp x23,x24,[sp,#6*__SIZEOF_POINTER__] + stp x25,x26,[sp,#8*__SIZEOF_POINTER__] + stp x27,x28,[sp,#10*__SIZEOF_POINTER__] + sub sp,sp,#64 + + ldp x22,x23,[x5] // load sigma + ldp x24,x25,[x3] // load key + ldp x26,x27,[x3,#16] + ldp x28,x30,[x4] // load counter +#ifdef __AARCH64EB__ + ror x24,x24,#32 + ror x25,x25,#32 + ror x26,x26,#32 + ror x27,x27,#32 + ror x28,x28,#32 + ror x30,x30,#32 +#endif + +.Loop_outer: + mov w5,w22 // unpack key block + lsr x6,x22,#32 + mov w7,w23 + lsr x8,x23,#32 + mov w9,w24 + lsr x10,x24,#32 + mov w11,w25 + lsr x12,x25,#32 + mov w13,w26 + lsr x14,x26,#32 + mov w15,w27 + lsr x16,x27,#32 + mov w17,w28 + lsr x19,x28,#32 + mov w20,w30 + lsr x21,x30,#32 + + mov x4,#10 + subs x2,x2,#64 +.Loop: + sub x4,x4,#1 + add w5,w5,w9 + add w6,w6,w10 + add w7,w7,w11 + add w8,w8,w12 + eor w17,w17,w5 + eor w19,w19,w6 + eor w20,w20,w7 + eor w21,w21,w8 + ror w17,w17,#16 + ror w19,w19,#16 + ror w20,w20,#16 + ror w21,w21,#16 + add w13,w13,w17 + add w14,w14,w19 + add w15,w15,w20 + add w16,w16,w21 + eor w9,w9,w13 + eor w10,w10,w14 + eor w11,w11,w15 + eor w12,w12,w16 + ror w9,w9,#20 + ror w10,w10,#20 + ror w11,w11,#20 + ror w12,w12,#20 + add w5,w5,w9 + add w6,w6,w10 + add w7,w7,w11 + add w8,w8,w12 + eor w17,w17,w5 + eor w19,w19,w6 + eor w20,w20,w7 + eor w21,w21,w8 + ror w17,w17,#24 + ror w19,w19,#24 + ror w20,w20,#24 + ror w21,w21,#24 + add w13,w13,w17 + add w14,w14,w19 + add w15,w15,w20 + add w16,w16,w21 + eor w9,w9,w13 + eor w10,w10,w14 + eor w11,w11,w15 + eor w12,w12,w16 + ror w9,w9,#25 + ror w10,w10,#25 + ror w11,w11,#25 + ror w12,w12,#25 + add w5,w5,w10 + add w6,w6,w11 + add w7,w7,w12 + add w8,w8,w9 + eor w21,w21,w5 + eor w17,w17,w6 + eor w19,w19,w7 + eor w20,w20,w8 + ror w21,w21,#16 + ror w17,w17,#16 + ror w19,w19,#16 + ror w20,w20,#16 + add w15,w15,w21 + add w16,w16,w17 + add w13,w13,w19 + add w14,w14,w20 + eor w10,w10,w15 + eor w11,w11,w16 + eor w12,w12,w13 + eor w9,w9,w14 + ror w10,w10,#20 + ror w11,w11,#20 + ror w12,w12,#20 + ror w9,w9,#20 + add w5,w5,w10 + add w6,w6,w11 + add w7,w7,w12 + add w8,w8,w9 + eor w21,w21,w5 + eor w17,w17,w6 + eor w19,w19,w7 + eor w20,w20,w8 + ror w21,w21,#24 + ror w17,w17,#24 + ror w19,w19,#24 + ror w20,w20,#24 + add w15,w15,w21 + add w16,w16,w17 + add w13,w13,w19 + add w14,w14,w20 + eor w10,w10,w15 + eor w11,w11,w16 + eor w12,w12,w13 + eor w9,w9,w14 + ror w10,w10,#25 + ror w11,w11,#25 + ror w12,w12,#25 + ror w9,w9,#25 + cbnz x4,.Loop + + add w5,w5,w22 // accumulate key block + add x6,x6,x22,lsr#32 + add w7,w7,w23 + add x8,x8,x23,lsr#32 + add w9,w9,w24 + add x10,x10,x24,lsr#32 + add w11,w11,w25 + add x12,x12,x25,lsr#32 + add w13,w13,w26 + add x14,x14,x26,lsr#32 + add w15,w15,w27 + add x16,x16,x27,lsr#32 + add w17,w17,w28 + add x19,x19,x28,lsr#32 + add w20,w20,w30 + add x21,x21,x30,lsr#32 + + b.lo .Ltail + + add x5,x5,x6,lsl#32 // pack + add x7,x7,x8,lsl#32 + ldp x6,x8,[x1,#0] // load input + add x9,x9,x10,lsl#32 + add x11,x11,x12,lsl#32 + ldp x10,x12,[x1,#16] + add x13,x13,x14,lsl#32 + add x15,x15,x16,lsl#32 + ldp x14,x16,[x1,#32] + add x17,x17,x19,lsl#32 + add x20,x20,x21,lsl#32 + ldp x19,x21,[x1,#48] + add x1,x1,#64 +#ifdef __AARCH64EB__ + rev x5,x5 + rev x7,x7 + rev x9,x9 + rev x11,x11 + rev x13,x13 + rev x15,x15 + rev x17,x17 + rev x20,x20 +#endif + eor x5,x5,x6 + eor x7,x7,x8 + eor x9,x9,x10 + eor x11,x11,x12 + eor x13,x13,x14 + eor x15,x15,x16 + eor x17,x17,x19 + eor x20,x20,x21 + + stp x5,x7,[x0,#0] // store output + add x28,x28,#1 // increment counter + stp x9,x11,[x0,#16] + stp x13,x15,[x0,#32] + stp x17,x20,[x0,#48] + add x0,x0,#64 + + b.hi .Loop_outer + + ldp x19,x20,[x29,#2*__SIZEOF_POINTER__] + add sp,sp,#64 + ldp x21,x22,[x29,#4*__SIZEOF_POINTER__] + ldp x23,x24,[x29,#6*__SIZEOF_POINTER__] + ldp x25,x26,[x29,#8*__SIZEOF_POINTER__] + ldp x27,x28,[x29,#10*__SIZEOF_POINTER__] + ldp x29,x30,[sp],#12*__SIZEOF_POINTER__ +.inst 0xd50323bf // autiasp +.Labort: + ret + +.align 4 +.Ltail: + add x2,x2,#64 +.Less_than_64: + sub x0,x0,#1 + add x1,x1,x2 + add x0,x0,x2 + add x4,sp,x2 + neg x2,x2 + + add x5,x5,x6,lsl#32 // pack + add x7,x7,x8,lsl#32 + add x9,x9,x10,lsl#32 + add x11,x11,x12,lsl#32 + add x13,x13,x14,lsl#32 + add x15,x15,x16,lsl#32 + add x17,x17,x19,lsl#32 + add x20,x20,x21,lsl#32 +#ifdef __AARCH64EB__ + rev x5,x5 + rev x7,x7 + rev x9,x9 + rev x11,x11 + rev x13,x13 + rev x15,x15 + rev x17,x17 + rev x20,x20 +#endif + stp x5,x7,[sp,#0] // off-load complete block + stp x9,x11,[sp,#16] + stp x13,x15,[sp,#32] + stp x17,x20,[sp,#48] + +.Loop_tail: + ldrb w10,[x1,x2] + ldrb w11,[x4,x2] + add x2,x2,#1 + eor w10,w10,w11 + strb w10,[x0,x2] + cbnz x2,.Loop_tail + + stp xzr,xzr,[sp,#0] // wipe off-load area + stp xzr,xzr,[sp,#16] + stp xzr,xzr,[sp,#32] + stp xzr,xzr,[sp,#48] + + ldp x19,x20,[x29,#2*__SIZEOF_POINTER__] + add sp,sp,#64 + ldp x21,x22,[x29,#4*__SIZEOF_POINTER__] + ldp x23,x24,[x29,#6*__SIZEOF_POINTER__] + ldp x25,x26,[x29,#8*__SIZEOF_POINTER__] + ldp x27,x28,[x29,#10*__SIZEOF_POINTER__] + ldp x29,x30,[sp],#12*__SIZEOF_POINTER__ +.inst 0xd50323bf // autiasp + ret +.size crypton_chacha20_asm_ctr32,.-crypton_chacha20_asm_ctr32 + +#ifdef __KERNEL__ +.globl crypton_chacha20_asm_neon +#endif +.type crypton_chacha20_asm_neon,%function +.align 5 +crypton_chacha20_asm_neon: +.Lcrypton_chacha20_asm_neon: +.inst 0xd503233f // paciasp + stp x29,x30,[sp,#-12*__SIZEOF_POINTER__]! + add x29,sp,#0 + + adr x5,.Lsigma + stp x19,x20,[sp,#2*__SIZEOF_POINTER__] + stp x21,x22,[sp,#4*__SIZEOF_POINTER__] + stp x23,x24,[sp,#6*__SIZEOF_POINTER__] + stp x25,x26,[sp,#8*__SIZEOF_POINTER__] + stp x27,x28,[sp,#10*__SIZEOF_POINTER__] + cmp x2,#512 + b.hs .L512_or_more_neon + + sub sp,sp,#64 + + ldp x22,x23,[x5] // load sigma + ld1 {v0.4s},[x5],#16 + ldp x24,x25,[x3] // load key + ldp x26,x27,[x3,#16] + ld1 {v1.4s,v2.4s},[x3] + ldp x28,x30,[x4] // load counter + ld1 {v3.4s},[x4] + stp d8,d9,[sp] // meet ABI requirements + ld1 {v8.4s,v9.4s},[x5] +#ifdef __AARCH64EB__ + rev64 v0.4s,v0.4s + ror x24,x24,#32 + ror x25,x25,#32 + ror x26,x26,#32 + ror x27,x27,#32 + ror x28,x28,#32 + ror x30,x30,#32 +#endif + +.Loop_outer_neon: + dup v16.4s,v0.s[0] // unpack key block + mov w5,w22 + dup v20.4s,v0.s[1] + lsr x6,x22,#32 + dup v24.4s,v0.s[2] + mov w7,w23 + dup v28.4s,v0.s[3] + lsr x8,x23,#32 + dup v17.4s,v1.s[0] + mov w9,w24 + dup v21.4s,v1.s[1] + lsr x10,x24,#32 + dup v25.4s,v1.s[2] + mov w11,w25 + dup v29.4s,v1.s[3] + lsr x12,x25,#32 + dup v19.4s,v3.s[0] + mov w13,w26 + dup v23.4s,v3.s[1] + lsr x14,x26,#32 + dup v27.4s,v3.s[2] + mov w15,w27 + dup v31.4s,v3.s[3] + lsr x16,x27,#32 + add v19.4s,v19.4s,v8.4s + mov w17,w28 + dup v18.4s,v2.s[0] + lsr x19,x28,#32 + dup v22.4s,v2.s[1] + mov w20,w30 + dup v26.4s,v2.s[2] + lsr x21,x30,#32 + dup v30.4s,v2.s[3] + + mov x4,#10 + subs x2,x2,#320 +.Loop_neon: + sub x4,x4,#1 + add v16.4s,v16.4s,v17.4s + add v20.4s,v20.4s,v21.4s + add v24.4s,v24.4s,v25.4s + add v28.4s,v28.4s,v29.4s + eor v19.16b,v19.16b,v16.16b + eor v23.16b,v23.16b,v20.16b + eor v27.16b,v27.16b,v24.16b + eor v31.16b,v31.16b,v28.16b + add w5,w5,w9 + rev32 v19.8h,v19.8h + add w6,w6,w10 + rev32 v23.8h,v23.8h + add w7,w7,w11 + rev32 v27.8h,v27.8h + add w8,w8,w12 + rev32 v31.8h,v31.8h + eor w17,w17,w5 + add v18.4s,v18.4s,v19.4s + eor w19,w19,w6 + add v22.4s,v22.4s,v23.4s + eor w20,w20,w7 + add v26.4s,v26.4s,v27.4s + eor w21,w21,w8 + add v30.4s,v30.4s,v31.4s + ror w17,w17,#16 + eor v4.16b,v17.16b,v18.16b + ror w19,w19,#16 + eor v5.16b,v21.16b,v22.16b + ror w20,w20,#16 + eor v6.16b,v25.16b,v26.16b + ror w21,w21,#16 + eor v7.16b,v29.16b,v30.16b + add w13,w13,w17 + ushr v17.4s,v4.4s,#20 + add w14,w14,w19 + ushr v21.4s,v5.4s,#20 + add w15,w15,w20 + ushr v25.4s,v6.4s,#20 + add w16,w16,w21 + ushr v29.4s,v7.4s,#20 + eor w9,w9,w13 + sli v17.4s,v4.4s,#12 + eor w10,w10,w14 + sli v21.4s,v5.4s,#12 + eor w11,w11,w15 + sli v25.4s,v6.4s,#12 + eor w12,w12,w16 + sli v29.4s,v7.4s,#12 + ror w9,w9,#20 + add v16.4s,v16.4s,v17.4s + ror w10,w10,#20 + add v20.4s,v20.4s,v21.4s + ror w11,w11,#20 + add v24.4s,v24.4s,v25.4s + ror w12,w12,#20 + add v28.4s,v28.4s,v29.4s + add w5,w5,w9 + eor v4.16b,v19.16b,v16.16b + add w6,w6,w10 + eor v5.16b,v23.16b,v20.16b + add w7,w7,w11 + eor v6.16b,v27.16b,v24.16b + add w8,w8,w12 + eor v7.16b,v31.16b,v28.16b + eor w17,w17,w5 + tbl v19.16b,{v4.16b},v9.16b + eor w19,w19,w6 + tbl v23.16b,{v5.16b},v9.16b + eor w20,w20,w7 + tbl v27.16b,{v6.16b},v9.16b + eor w21,w21,w8 + tbl v31.16b,{v7.16b},v9.16b + ror w17,w17,#24 + add v18.4s,v18.4s,v19.4s + ror w19,w19,#24 + add v22.4s,v22.4s,v23.4s + ror w20,w20,#24 + add v26.4s,v26.4s,v27.4s + ror w21,w21,#24 + add v30.4s,v30.4s,v31.4s + add w13,w13,w17 + eor v4.16b,v17.16b,v18.16b + add w14,w14,w19 + eor v5.16b,v21.16b,v22.16b + add w15,w15,w20 + eor v6.16b,v25.16b,v26.16b + add w16,w16,w21 + eor v7.16b,v29.16b,v30.16b + eor w9,w9,w13 + ushr v17.4s,v4.4s,#25 + eor w10,w10,w14 + ushr v21.4s,v5.4s,#25 + eor w11,w11,w15 + ushr v25.4s,v6.4s,#25 + eor w12,w12,w16 + ushr v29.4s,v7.4s,#25 + ror w9,w9,#25 + sli v17.4s,v4.4s,#7 + ror w10,w10,#25 + sli v21.4s,v5.4s,#7 + ror w11,w11,#25 + sli v25.4s,v6.4s,#7 + ror w12,w12,#25 + sli v29.4s,v7.4s,#7 + add v16.4s,v16.4s,v21.4s + add v20.4s,v20.4s,v25.4s + add v24.4s,v24.4s,v29.4s + add v28.4s,v28.4s,v17.4s + eor v31.16b,v31.16b,v16.16b + eor v19.16b,v19.16b,v20.16b + eor v23.16b,v23.16b,v24.16b + eor v27.16b,v27.16b,v28.16b + add w5,w5,w10 + rev32 v31.8h,v31.8h + add w6,w6,w11 + rev32 v19.8h,v19.8h + add w7,w7,w12 + rev32 v23.8h,v23.8h + add w8,w8,w9 + rev32 v27.8h,v27.8h + eor w21,w21,w5 + add v26.4s,v26.4s,v31.4s + eor w17,w17,w6 + add v30.4s,v30.4s,v19.4s + eor w19,w19,w7 + add v18.4s,v18.4s,v23.4s + eor w20,w20,w8 + add v22.4s,v22.4s,v27.4s + ror w21,w21,#16 + eor v4.16b,v21.16b,v26.16b + ror w17,w17,#16 + eor v5.16b,v25.16b,v30.16b + ror w19,w19,#16 + eor v6.16b,v29.16b,v18.16b + ror w20,w20,#16 + eor v7.16b,v17.16b,v22.16b + add w15,w15,w21 + ushr v21.4s,v4.4s,#20 + add w16,w16,w17 + ushr v25.4s,v5.4s,#20 + add w13,w13,w19 + ushr v29.4s,v6.4s,#20 + add w14,w14,w20 + ushr v17.4s,v7.4s,#20 + eor w10,w10,w15 + sli v21.4s,v4.4s,#12 + eor w11,w11,w16 + sli v25.4s,v5.4s,#12 + eor w12,w12,w13 + sli v29.4s,v6.4s,#12 + eor w9,w9,w14 + sli v17.4s,v7.4s,#12 + ror w10,w10,#20 + add v16.4s,v16.4s,v21.4s + ror w11,w11,#20 + add v20.4s,v20.4s,v25.4s + ror w12,w12,#20 + add v24.4s,v24.4s,v29.4s + ror w9,w9,#20 + add v28.4s,v28.4s,v17.4s + add w5,w5,w10 + eor v4.16b,v31.16b,v16.16b + add w6,w6,w11 + eor v5.16b,v19.16b,v20.16b + add w7,w7,w12 + eor v6.16b,v23.16b,v24.16b + add w8,w8,w9 + eor v7.16b,v27.16b,v28.16b + eor w21,w21,w5 + tbl v31.16b,{v4.16b},v9.16b + eor w17,w17,w6 + tbl v19.16b,{v5.16b},v9.16b + eor w19,w19,w7 + tbl v23.16b,{v6.16b},v9.16b + eor w20,w20,w8 + tbl v27.16b,{v7.16b},v9.16b + ror w21,w21,#24 + add v26.4s,v26.4s,v31.4s + ror w17,w17,#24 + add v30.4s,v30.4s,v19.4s + ror w19,w19,#24 + add v18.4s,v18.4s,v23.4s + ror w20,w20,#24 + add v22.4s,v22.4s,v27.4s + add w15,w15,w21 + eor v4.16b,v21.16b,v26.16b + add w16,w16,w17 + eor v5.16b,v25.16b,v30.16b + add w13,w13,w19 + eor v6.16b,v29.16b,v18.16b + add w14,w14,w20 + eor v7.16b,v17.16b,v22.16b + eor w10,w10,w15 + ushr v21.4s,v4.4s,#25 + eor w11,w11,w16 + ushr v25.4s,v5.4s,#25 + eor w12,w12,w13 + ushr v29.4s,v6.4s,#25 + eor w9,w9,w14 + ushr v17.4s,v7.4s,#25 + ror w10,w10,#25 + sli v21.4s,v4.4s,#7 + ror w11,w11,#25 + sli v25.4s,v5.4s,#7 + ror w12,w12,#25 + sli v29.4s,v6.4s,#7 + ror w9,w9,#25 + sli v17.4s,v7.4s,#7 + cbnz x4,.Loop_neon + + add v19.4s,v19.4s,v8.4s + + zip1 v4.4s,v16.4s,v20.4s // transpose data + zip1 v5.4s,v24.4s,v28.4s + zip2 v6.4s,v16.4s,v20.4s + zip2 v7.4s,v24.4s,v28.4s + zip1 v16.2d,v4.2d,v5.2d + zip2 v20.2d,v4.2d,v5.2d + zip1 v24.2d,v6.2d,v7.2d + zip2 v28.2d,v6.2d,v7.2d + + zip1 v4.4s,v17.4s,v21.4s + zip1 v5.4s,v25.4s,v29.4s + zip2 v6.4s,v17.4s,v21.4s + zip2 v7.4s,v25.4s,v29.4s + zip1 v17.2d,v4.2d,v5.2d + zip2 v21.2d,v4.2d,v5.2d + zip1 v25.2d,v6.2d,v7.2d + zip2 v29.2d,v6.2d,v7.2d + + zip1 v4.4s,v18.4s,v22.4s + add w5,w5,w22 // accumulate key block + zip1 v5.4s,v26.4s,v30.4s + add x6,x6,x22,lsr#32 + zip2 v6.4s,v18.4s,v22.4s + add w7,w7,w23 + zip2 v7.4s,v26.4s,v30.4s + add x8,x8,x23,lsr#32 + zip1 v18.2d,v4.2d,v5.2d + add w9,w9,w24 + zip2 v22.2d,v4.2d,v5.2d + add x10,x10,x24,lsr#32 + zip1 v26.2d,v6.2d,v7.2d + add w11,w11,w25 + zip2 v30.2d,v6.2d,v7.2d + add x12,x12,x25,lsr#32 + + zip1 v4.4s,v19.4s,v23.4s + add w13,w13,w26 + zip1 v5.4s,v27.4s,v31.4s + add x14,x14,x26,lsr#32 + zip2 v6.4s,v19.4s,v23.4s + add w15,w15,w27 + zip2 v7.4s,v27.4s,v31.4s + add x16,x16,x27,lsr#32 + zip1 v19.2d,v4.2d,v5.2d + add w17,w17,w28 + zip2 v23.2d,v4.2d,v5.2d + add x19,x19,x28,lsr#32 + zip1 v27.2d,v6.2d,v7.2d + add w20,w20,w30 + zip2 v31.2d,v6.2d,v7.2d + add x21,x21,x30,lsr#32 + + b.lo .Ltail_neon + + add x5,x5,x6,lsl#32 // pack + add x7,x7,x8,lsl#32 + ldp x6,x8,[x1,#0] // load input + add v16.4s,v16.4s,v0.4s // accumulate key block + add x9,x9,x10,lsl#32 + add x11,x11,x12,lsl#32 + ldp x10,x12,[x1,#16] + add v17.4s,v17.4s,v1.4s + add x13,x13,x14,lsl#32 + add x15,x15,x16,lsl#32 + ldp x14,x16,[x1,#32] + add v18.4s,v18.4s,v2.4s + add x17,x17,x19,lsl#32 + add x20,x20,x21,lsl#32 + ldp x19,x21,[x1,#48] + add v19.4s,v19.4s,v3.4s + add x1,x1,#64 +#ifdef __AARCH64EB__ + rev x5,x5 + rev x7,x7 + rev x9,x9 + rev x11,x11 + rev x13,x13 + rev x15,x15 + rev x17,x17 + rev x20,x20 +#endif + ld1 {v4.16b,v5.16b,v6.16b,v7.16b},[x1],#64 + eor x5,x5,x6 + add v20.4s,v20.4s,v0.4s + eor x7,x7,x8 + add v21.4s,v21.4s,v1.4s + eor x9,x9,x10 + add v22.4s,v22.4s,v2.4s + eor x11,x11,x12 + add v23.4s,v23.4s,v3.4s + eor x13,x13,x14 + eor v16.16b,v16.16b,v4.16b + movi v4.4s,#5 + eor x15,x15,x16 + eor v17.16b,v17.16b,v5.16b + eor x17,x17,x19 + eor v18.16b,v18.16b,v6.16b + eor x20,x20,x21 + eor v19.16b,v19.16b,v7.16b + add v8.4s,v8.4s,v4.4s // += 5 + ld1 {v4.16b,v5.16b,v6.16b,v7.16b},[x1],#64 + + stp x5,x7,[x0,#0] // store output + add x28,x28,#5 // increment counter + stp x9,x11,[x0,#16] + stp x13,x15,[x0,#32] + stp x17,x20,[x0,#48] + add x0,x0,#64 + + st1 {v16.16b,v17.16b,v18.16b,v19.16b},[x0],#64 + add v24.4s,v24.4s,v0.4s + add v25.4s,v25.4s,v1.4s + add v26.4s,v26.4s,v2.4s + add v27.4s,v27.4s,v3.4s + ld1 {v16.16b,v17.16b,v18.16b,v19.16b},[x1],#64 + + eor v20.16b,v20.16b,v4.16b + eor v21.16b,v21.16b,v5.16b + eor v22.16b,v22.16b,v6.16b + eor v23.16b,v23.16b,v7.16b + st1 {v20.16b,v21.16b,v22.16b,v23.16b},[x0],#64 + add v28.4s,v28.4s,v0.4s + add v29.4s,v29.4s,v1.4s + add v30.4s,v30.4s,v2.4s + add v31.4s,v31.4s,v3.4s + ld1 {v20.16b,v21.16b,v22.16b,v23.16b},[x1],#64 + + eor v24.16b,v24.16b,v16.16b + eor v25.16b,v25.16b,v17.16b + eor v26.16b,v26.16b,v18.16b + eor v27.16b,v27.16b,v19.16b + st1 {v24.16b,v25.16b,v26.16b,v27.16b},[x0],#64 + + eor v28.16b,v28.16b,v20.16b + eor v29.16b,v29.16b,v21.16b + eor v30.16b,v30.16b,v22.16b + eor v31.16b,v31.16b,v23.16b + st1 {v28.16b,v29.16b,v30.16b,v31.16b},[x0],#64 + + b.hi .Loop_outer_neon + + ldp d8,d9,[sp] // meet ABI requirements + eor v1.16b,v1.16b,v1.16b // cleanse key and nonce + eor v2.16b,v2.16b,v2.16b + eor v3.16b,v3.16b,v3.16b + + ldp x19,x20,[x29,#2*__SIZEOF_POINTER__] + add sp,sp,#64 + ldp x21,x22,[x29,#4*__SIZEOF_POINTER__] + ldp x23,x24,[x29,#6*__SIZEOF_POINTER__] + ldp x25,x26,[x29,#8*__SIZEOF_POINTER__] + ldp x27,x28,[x29,#10*__SIZEOF_POINTER__] + ldp x29,x30,[sp],#12*__SIZEOF_POINTER__ +.inst 0xd50323bf // autiasp + ret + +.align 4 +.Ltail_neon: + add x2,x2,#320 + ldp d8,d9,[sp] // meet ABI requirements + cmp x2,#64 + b.lo .Less_than_64_neon + + add x5,x5,x6,lsl#32 // pack + add x7,x7,x8,lsl#32 + ldp x6,x8,[x1,#0] // load input + add x9,x9,x10,lsl#32 + add x11,x11,x12,lsl#32 + ldp x10,x12,[x1,#16] + add x13,x13,x14,lsl#32 + add x15,x15,x16,lsl#32 + ldp x14,x16,[x1,#32] + add x17,x17,x19,lsl#32 + add x20,x20,x21,lsl#32 + ldp x19,x21,[x1,#48] + add x1,x1,#64 +#ifdef __AARCH64EB__ + rev x5,x5 + rev x7,x7 + rev x9,x9 + rev x11,x11 + rev x13,x13 + rev x15,x15 + rev x17,x17 + rev x20,x20 +#endif + eor x5,x5,x6 + eor x7,x7,x8 + eor x9,x9,x10 + eor x11,x11,x12 + eor x13,x13,x14 + eor x15,x15,x16 + eor x17,x17,x19 + eor x20,x20,x21 + + stp x5,x7,[x0,#0] // store output + add v16.4s,v16.4s,v0.4s // accumulate key block + stp x9,x11,[x0,#16] + add v17.4s,v17.4s,v1.4s + stp x13,x15,[x0,#32] + add v18.4s,v18.4s,v2.4s + stp x17,x20,[x0,#48] + add v19.4s,v19.4s,v3.4s + add x0,x0,#64 + b.eq .Ldone_neon + sub x2,x2,#64 + cmp x2,#64 + b.lo .Last_neon + + ld1 {v4.16b,v5.16b,v6.16b,v7.16b},[x1],#64 + eor v16.16b,v16.16b,v4.16b + eor v17.16b,v17.16b,v5.16b + eor v18.16b,v18.16b,v6.16b + eor v19.16b,v19.16b,v7.16b + st1 {v16.16b,v17.16b,v18.16b,v19.16b},[x0],#64 + b.eq .Ldone_neon + + add v16.4s,v20.4s,v0.4s + add v17.4s,v21.4s,v1.4s + sub x2,x2,#64 + add v18.4s,v22.4s,v2.4s + cmp x2,#64 + add v19.4s,v23.4s,v3.4s + b.lo .Last_neon + + ld1 {v4.16b,v5.16b,v6.16b,v7.16b},[x1],#64 + eor v20.16b,v16.16b,v4.16b + eor v21.16b,v17.16b,v5.16b + eor v22.16b,v18.16b,v6.16b + eor v23.16b,v19.16b,v7.16b + st1 {v20.16b,v21.16b,v22.16b,v23.16b},[x0],#64 + b.eq .Ldone_neon + + add v16.4s,v24.4s,v0.4s + add v17.4s,v25.4s,v1.4s + sub x2,x2,#64 + add v18.4s,v26.4s,v2.4s + cmp x2,#64 + add v19.4s,v27.4s,v3.4s + b.lo .Last_neon + + ld1 {v4.16b,v5.16b,v6.16b,v7.16b},[x1],#64 + eor v24.16b,v16.16b,v4.16b + eor v25.16b,v17.16b,v5.16b + eor v26.16b,v18.16b,v6.16b + eor v27.16b,v19.16b,v7.16b + st1 {v24.16b,v25.16b,v26.16b,v27.16b},[x0],#64 + b.eq .Ldone_neon + + add v16.4s,v28.4s,v0.4s + add v17.4s,v29.4s,v1.4s + add v18.4s,v30.4s,v2.4s + add v19.4s,v31.4s,v3.4s + sub x2,x2,#64 + +.Last_neon: + st1 {v16.16b,v17.16b,v18.16b,v19.16b},[sp] // off-load complete block + + sub x0,x0,#1 + add x1,x1,x2 + add x0,x0,x2 + add x4,sp,x2 + neg x2,x2 + +.Loop_tail_neon: + ldrb w10,[x1,x2] + ldrb w11,[x4,x2] + add x2,x2,#1 + eor w10,w10,w11 + strb w10,[x0,x2] + cbnz x2,.Loop_tail_neon + + stp q0,q0,[sp,#0] // wipe off-load area + stp q0,q0,[sp,#32] // [with known constant] + +.Ldone_neon: + eor v1.16b,v1.16b,v1.16b // cleanse key and nonce + eor v2.16b,v2.16b,v2.16b + eor v3.16b,v3.16b,v3.16b + + ldp x19,x20,[x29,#2*__SIZEOF_POINTER__] + add sp,sp,#64 + ldp x21,x22,[x29,#4*__SIZEOF_POINTER__] + ldp x23,x24,[x29,#6*__SIZEOF_POINTER__] + ldp x25,x26,[x29,#8*__SIZEOF_POINTER__] + ldp x27,x28,[x29,#10*__SIZEOF_POINTER__] + ldp x29,x30,[sp],#12*__SIZEOF_POINTER__ +.inst 0xd50323bf // autiasp + ret + +.align 4 +.Less_than_64_neon: + eor v1.16b,v1.16b,v1.16b // cleanse key and nonce + eor v2.16b,v2.16b,v2.16b + eor v3.16b,v3.16b,v3.16b + b .Less_than_64 +.size crypton_chacha20_asm_neon,.-crypton_chacha20_asm_neon +.type crypton_chacha20_asm_512_neon,%function +.align 5 +crypton_chacha20_asm_512_neon: +.inst 0xd503233f // paciasp + stp x29,x30,[sp,#-12*__SIZEOF_POINTER__]! + add x29,sp,#0 + + adr x5,.Lsigma + stp x19,x20,[sp,#2*__SIZEOF_POINTER__] + stp x21,x22,[sp,#4*__SIZEOF_POINTER__] + stp x23,x24,[sp,#6*__SIZEOF_POINTER__] + stp x25,x26,[sp,#8*__SIZEOF_POINTER__] + stp x27,x28,[sp,#10*__SIZEOF_POINTER__] + +.L512_or_more_neon: + sub sp,sp,#128+64 + + eor v7.16b,v7.16b,v7.16b + ldp x22,x23,[x5] // load sigma + ld1 {v0.4s},[x5],#16 + ldp x24,x25,[x3] // load key + ldp x26,x27,[x3,#16] + ld1 {v1.4s,v2.4s},[x3] + ldp x28,x30,[x4] // load counter + ld1 {v3.4s},[x4] + ld1 {v7.s}[0],[x5] + add x3,x5,#16 +#ifdef __AARCH64EB__ + rev64 v0.4s,v0.4s + ror x24,x24,#32 + ror x25,x25,#32 + ror x26,x26,#32 + ror x27,x27,#32 + ror x28,x28,#32 + ror x30,x30,#32 +#endif + add v3.4s,v3.4s,v7.4s // += 1 + stp q0,q1,[sp,#0] // off-load key block, invariant part + add v3.4s,v3.4s,v7.4s // not typo + str q2,[sp,#32] + add v4.4s,v3.4s,v7.4s + add v5.4s,v4.4s,v7.4s + add v6.4s,v5.4s,v7.4s + shl v7.4s,v7.4s,#2 // 1 -> 4 + + stp d8,d9,[sp,#128+0] // meet ABI requirements + stp d10,d11,[sp,#128+16] + stp d12,d13,[sp,#128+32] + stp d14,d15,[sp,#128+48] + + sub x2,x2,#512 // not typo + +.Loop_outer_512_neon: + mov v8.16b,v0.16b + mov v12.16b,v0.16b + mov v16.16b,v0.16b + mov v20.16b,v0.16b + mov v24.16b,v0.16b + mov v28.16b,v0.16b + mov v9.16b,v1.16b + mov w5,w22 // unpack key block + mov v13.16b,v1.16b + lsr x6,x22,#32 + mov v17.16b,v1.16b + mov w7,w23 + mov v21.16b,v1.16b + lsr x8,x23,#32 + mov v25.16b,v1.16b + mov w9,w24 + mov v29.16b,v1.16b + lsr x10,x24,#32 + mov v11.16b,v3.16b + mov w11,w25 + mov v15.16b,v4.16b + lsr x12,x25,#32 + mov v19.16b,v5.16b + mov w13,w26 + mov v23.16b,v6.16b + lsr x14,x26,#32 + mov v10.16b,v2.16b + mov w15,w27 + mov v14.16b,v2.16b + lsr x16,x27,#32 + add v27.4s,v11.4s,v7.4s // +4 + mov w17,w28 + add v31.4s,v15.4s,v7.4s // +4 + lsr x19,x28,#32 + mov v18.16b,v2.16b + mov w20,w30 + mov v22.16b,v2.16b + lsr x21,x30,#32 + mov v26.16b,v2.16b + stp q3,q4,[sp,#48] // off-load key block, variable part + mov v30.16b,v2.16b + stp q5,q6,[sp,#80] + + mov x4,#5 + ld1 {v6.4s},[x3] + subs x2,x2,#512 +.Loop_upper_neon: + sub x4,x4,#1 + add v8.4s,v8.4s,v9.4s + add w5,w5,w9 + add v12.4s,v12.4s,v13.4s + add w6,w6,w10 + add v16.4s,v16.4s,v17.4s + add w7,w7,w11 + add v20.4s,v20.4s,v21.4s + add w8,w8,w12 + add v24.4s,v24.4s,v25.4s + eor w17,w17,w5 + add v28.4s,v28.4s,v29.4s + eor w19,w19,w6 + eor v11.16b,v11.16b,v8.16b + eor w20,w20,w7 + eor v15.16b,v15.16b,v12.16b + eor w21,w21,w8 + eor v19.16b,v19.16b,v16.16b + ror w17,w17,#16 + eor v23.16b,v23.16b,v20.16b + ror w19,w19,#16 + eor v27.16b,v27.16b,v24.16b + ror w20,w20,#16 + eor v31.16b,v31.16b,v28.16b + ror w21,w21,#16 + rev32 v11.8h,v11.8h + add w13,w13,w17 + rev32 v15.8h,v15.8h + add w14,w14,w19 + rev32 v19.8h,v19.8h + add w15,w15,w20 + rev32 v23.8h,v23.8h + add w16,w16,w21 + rev32 v27.8h,v27.8h + eor w9,w9,w13 + rev32 v31.8h,v31.8h + eor w10,w10,w14 + add v10.4s,v10.4s,v11.4s + eor w11,w11,w15 + add v14.4s,v14.4s,v15.4s + eor w12,w12,w16 + add v18.4s,v18.4s,v19.4s + ror w9,w9,#20 + add v22.4s,v22.4s,v23.4s + ror w10,w10,#20 + add v26.4s,v26.4s,v27.4s + ror w11,w11,#20 + add v30.4s,v30.4s,v31.4s + ror w12,w12,#20 + eor v0.16b,v9.16b,v10.16b + add w5,w5,w9 + eor v1.16b,v13.16b,v14.16b + add w6,w6,w10 + eor v2.16b,v17.16b,v18.16b + add w7,w7,w11 + eor v3.16b,v21.16b,v22.16b + add w8,w8,w12 + eor v4.16b,v25.16b,v26.16b + eor w17,w17,w5 + eor v5.16b,v29.16b,v30.16b + eor w19,w19,w6 + ushr v9.4s,v0.4s,#20 + eor w20,w20,w7 + ushr v13.4s,v1.4s,#20 + eor w21,w21,w8 + ushr v17.4s,v2.4s,#20 + ror w17,w17,#24 + ushr v21.4s,v3.4s,#20 + ror w19,w19,#24 + ushr v25.4s,v4.4s,#20 + ror w20,w20,#24 + ushr v29.4s,v5.4s,#20 + ror w21,w21,#24 + sli v9.4s,v0.4s,#12 + add w13,w13,w17 + sli v13.4s,v1.4s,#12 + add w14,w14,w19 + sli v17.4s,v2.4s,#12 + add w15,w15,w20 + sli v21.4s,v3.4s,#12 + add w16,w16,w21 + sli v25.4s,v4.4s,#12 + eor w9,w9,w13 + sli v29.4s,v5.4s,#12 + eor w10,w10,w14 + add v8.4s,v8.4s,v9.4s + eor w11,w11,w15 + add v12.4s,v12.4s,v13.4s + eor w12,w12,w16 + add v16.4s,v16.4s,v17.4s + ror w9,w9,#25 + add v20.4s,v20.4s,v21.4s + ror w10,w10,#25 + add v24.4s,v24.4s,v25.4s + ror w11,w11,#25 + add v28.4s,v28.4s,v29.4s + ror w12,w12,#25 + eor v11.16b,v11.16b,v8.16b + add w5,w5,w10 + eor v15.16b,v15.16b,v12.16b + add w6,w6,w11 + eor v19.16b,v19.16b,v16.16b + add w7,w7,w12 + eor v23.16b,v23.16b,v20.16b + add w8,w8,w9 + eor v27.16b,v27.16b,v24.16b + eor w21,w21,w5 + eor v31.16b,v31.16b,v28.16b + eor w17,w17,w6 + tbl v11.16b,{v11.16b},v6.16b + eor w19,w19,w7 + tbl v15.16b,{v15.16b},v6.16b + eor w20,w20,w8 + tbl v19.16b,{v19.16b},v6.16b + ror w21,w21,#16 + tbl v23.16b,{v23.16b},v6.16b + ror w17,w17,#16 + tbl v27.16b,{v27.16b},v6.16b + ror w19,w19,#16 + tbl v31.16b,{v31.16b},v6.16b + ror w20,w20,#16 + add v10.4s,v10.4s,v11.4s + add w15,w15,w21 + add v14.4s,v14.4s,v15.4s + add w16,w16,w17 + add v18.4s,v18.4s,v19.4s + add w13,w13,w19 + add v22.4s,v22.4s,v23.4s + add w14,w14,w20 + add v26.4s,v26.4s,v27.4s + eor w10,w10,w15 + add v30.4s,v30.4s,v31.4s + eor w11,w11,w16 + eor v0.16b,v9.16b,v10.16b + eor w12,w12,w13 + eor v1.16b,v13.16b,v14.16b + eor w9,w9,w14 + eor v2.16b,v17.16b,v18.16b + ror w10,w10,#20 + eor v3.16b,v21.16b,v22.16b + ror w11,w11,#20 + eor v4.16b,v25.16b,v26.16b + ror w12,w12,#20 + eor v5.16b,v29.16b,v30.16b + ror w9,w9,#20 + ushr v9.4s,v0.4s,#25 + add w5,w5,w10 + ushr v13.4s,v1.4s,#25 + add w6,w6,w11 + ushr v17.4s,v2.4s,#25 + add w7,w7,w12 + ushr v21.4s,v3.4s,#25 + add w8,w8,w9 + ushr v25.4s,v4.4s,#25 + eor w21,w21,w5 + ushr v29.4s,v5.4s,#25 + eor w17,w17,w6 + sli v9.4s,v0.4s,#7 + eor w19,w19,w7 + sli v13.4s,v1.4s,#7 + eor w20,w20,w8 + sli v17.4s,v2.4s,#7 + ror w21,w21,#24 + sli v21.4s,v3.4s,#7 + ror w17,w17,#24 + sli v25.4s,v4.4s,#7 + ror w19,w19,#24 + sli v29.4s,v5.4s,#7 + ror w20,w20,#24 + ext v10.16b,v10.16b,v10.16b,#8 + add w15,w15,w21 + ext v14.16b,v14.16b,v14.16b,#8 + add w16,w16,w17 + ext v18.16b,v18.16b,v18.16b,#8 + add w13,w13,w19 + ext v22.16b,v22.16b,v22.16b,#8 + add w14,w14,w20 + ext v26.16b,v26.16b,v26.16b,#8 + eor w10,w10,w15 + ext v30.16b,v30.16b,v30.16b,#8 + eor w11,w11,w16 + ext v11.16b,v11.16b,v11.16b,#12 + eor w12,w12,w13 + ext v15.16b,v15.16b,v15.16b,#12 + eor w9,w9,w14 + ext v19.16b,v19.16b,v19.16b,#12 + ror w10,w10,#25 + ext v23.16b,v23.16b,v23.16b,#12 + ror w11,w11,#25 + ext v27.16b,v27.16b,v27.16b,#12 + ror w12,w12,#25 + ext v31.16b,v31.16b,v31.16b,#12 + ror w9,w9,#25 + ext v9.16b,v9.16b,v9.16b,#4 + ext v13.16b,v13.16b,v13.16b,#4 + ext v17.16b,v17.16b,v17.16b,#4 + ext v21.16b,v21.16b,v21.16b,#4 + ext v25.16b,v25.16b,v25.16b,#4 + ext v29.16b,v29.16b,v29.16b,#4 + add v8.4s,v8.4s,v9.4s + add w5,w5,w9 + add v12.4s,v12.4s,v13.4s + add w6,w6,w10 + add v16.4s,v16.4s,v17.4s + add w7,w7,w11 + add v20.4s,v20.4s,v21.4s + add w8,w8,w12 + add v24.4s,v24.4s,v25.4s + eor w17,w17,w5 + add v28.4s,v28.4s,v29.4s + eor w19,w19,w6 + eor v11.16b,v11.16b,v8.16b + eor w20,w20,w7 + eor v15.16b,v15.16b,v12.16b + eor w21,w21,w8 + eor v19.16b,v19.16b,v16.16b + ror w17,w17,#16 + eor v23.16b,v23.16b,v20.16b + ror w19,w19,#16 + eor v27.16b,v27.16b,v24.16b + ror w20,w20,#16 + eor v31.16b,v31.16b,v28.16b + ror w21,w21,#16 + rev32 v11.8h,v11.8h + add w13,w13,w17 + rev32 v15.8h,v15.8h + add w14,w14,w19 + rev32 v19.8h,v19.8h + add w15,w15,w20 + rev32 v23.8h,v23.8h + add w16,w16,w21 + rev32 v27.8h,v27.8h + eor w9,w9,w13 + rev32 v31.8h,v31.8h + eor w10,w10,w14 + add v10.4s,v10.4s,v11.4s + eor w11,w11,w15 + add v14.4s,v14.4s,v15.4s + eor w12,w12,w16 + add v18.4s,v18.4s,v19.4s + ror w9,w9,#20 + add v22.4s,v22.4s,v23.4s + ror w10,w10,#20 + add v26.4s,v26.4s,v27.4s + ror w11,w11,#20 + add v30.4s,v30.4s,v31.4s + ror w12,w12,#20 + eor v0.16b,v9.16b,v10.16b + add w5,w5,w9 + eor v1.16b,v13.16b,v14.16b + add w6,w6,w10 + eor v2.16b,v17.16b,v18.16b + add w7,w7,w11 + eor v3.16b,v21.16b,v22.16b + add w8,w8,w12 + eor v4.16b,v25.16b,v26.16b + eor w17,w17,w5 + eor v5.16b,v29.16b,v30.16b + eor w19,w19,w6 + ushr v9.4s,v0.4s,#20 + eor w20,w20,w7 + ushr v13.4s,v1.4s,#20 + eor w21,w21,w8 + ushr v17.4s,v2.4s,#20 + ror w17,w17,#24 + ushr v21.4s,v3.4s,#20 + ror w19,w19,#24 + ushr v25.4s,v4.4s,#20 + ror w20,w20,#24 + ushr v29.4s,v5.4s,#20 + ror w21,w21,#24 + sli v9.4s,v0.4s,#12 + add w13,w13,w17 + sli v13.4s,v1.4s,#12 + add w14,w14,w19 + sli v17.4s,v2.4s,#12 + add w15,w15,w20 + sli v21.4s,v3.4s,#12 + add w16,w16,w21 + sli v25.4s,v4.4s,#12 + eor w9,w9,w13 + sli v29.4s,v5.4s,#12 + eor w10,w10,w14 + add v8.4s,v8.4s,v9.4s + eor w11,w11,w15 + add v12.4s,v12.4s,v13.4s + eor w12,w12,w16 + add v16.4s,v16.4s,v17.4s + ror w9,w9,#25 + add v20.4s,v20.4s,v21.4s + ror w10,w10,#25 + add v24.4s,v24.4s,v25.4s + ror w11,w11,#25 + add v28.4s,v28.4s,v29.4s + ror w12,w12,#25 + eor v11.16b,v11.16b,v8.16b + add w5,w5,w10 + eor v15.16b,v15.16b,v12.16b + add w6,w6,w11 + eor v19.16b,v19.16b,v16.16b + add w7,w7,w12 + eor v23.16b,v23.16b,v20.16b + add w8,w8,w9 + eor v27.16b,v27.16b,v24.16b + eor w21,w21,w5 + eor v31.16b,v31.16b,v28.16b + eor w17,w17,w6 + tbl v11.16b,{v11.16b},v6.16b + eor w19,w19,w7 + tbl v15.16b,{v15.16b},v6.16b + eor w20,w20,w8 + tbl v19.16b,{v19.16b},v6.16b + ror w21,w21,#16 + tbl v23.16b,{v23.16b},v6.16b + ror w17,w17,#16 + tbl v27.16b,{v27.16b},v6.16b + ror w19,w19,#16 + tbl v31.16b,{v31.16b},v6.16b + ror w20,w20,#16 + add v10.4s,v10.4s,v11.4s + add w15,w15,w21 + add v14.4s,v14.4s,v15.4s + add w16,w16,w17 + add v18.4s,v18.4s,v19.4s + add w13,w13,w19 + add v22.4s,v22.4s,v23.4s + add w14,w14,w20 + add v26.4s,v26.4s,v27.4s + eor w10,w10,w15 + add v30.4s,v30.4s,v31.4s + eor w11,w11,w16 + eor v0.16b,v9.16b,v10.16b + eor w12,w12,w13 + eor v1.16b,v13.16b,v14.16b + eor w9,w9,w14 + eor v2.16b,v17.16b,v18.16b + ror w10,w10,#20 + eor v3.16b,v21.16b,v22.16b + ror w11,w11,#20 + eor v4.16b,v25.16b,v26.16b + ror w12,w12,#20 + eor v5.16b,v29.16b,v30.16b + ror w9,w9,#20 + ushr v9.4s,v0.4s,#25 + add w5,w5,w10 + ushr v13.4s,v1.4s,#25 + add w6,w6,w11 + ushr v17.4s,v2.4s,#25 + add w7,w7,w12 + ushr v21.4s,v3.4s,#25 + add w8,w8,w9 + ushr v25.4s,v4.4s,#25 + eor w21,w21,w5 + ushr v29.4s,v5.4s,#25 + eor w17,w17,w6 + sli v9.4s,v0.4s,#7 + eor w19,w19,w7 + sli v13.4s,v1.4s,#7 + eor w20,w20,w8 + sli v17.4s,v2.4s,#7 + ror w21,w21,#24 + sli v21.4s,v3.4s,#7 + ror w17,w17,#24 + sli v25.4s,v4.4s,#7 + ror w19,w19,#24 + sli v29.4s,v5.4s,#7 + ror w20,w20,#24 + ext v10.16b,v10.16b,v10.16b,#8 + add w15,w15,w21 + ext v14.16b,v14.16b,v14.16b,#8 + add w16,w16,w17 + ext v18.16b,v18.16b,v18.16b,#8 + add w13,w13,w19 + ext v22.16b,v22.16b,v22.16b,#8 + add w14,w14,w20 + ext v26.16b,v26.16b,v26.16b,#8 + eor w10,w10,w15 + ext v30.16b,v30.16b,v30.16b,#8 + eor w11,w11,w16 + ext v11.16b,v11.16b,v11.16b,#4 + eor w12,w12,w13 + ext v15.16b,v15.16b,v15.16b,#4 + eor w9,w9,w14 + ext v19.16b,v19.16b,v19.16b,#4 + ror w10,w10,#25 + ext v23.16b,v23.16b,v23.16b,#4 + ror w11,w11,#25 + ext v27.16b,v27.16b,v27.16b,#4 + ror w12,w12,#25 + ext v31.16b,v31.16b,v31.16b,#4 + ror w9,w9,#25 + ext v9.16b,v9.16b,v9.16b,#12 + ext v13.16b,v13.16b,v13.16b,#12 + ext v17.16b,v17.16b,v17.16b,#12 + ext v21.16b,v21.16b,v21.16b,#12 + ext v25.16b,v25.16b,v25.16b,#12 + ext v29.16b,v29.16b,v29.16b,#12 + cbnz x4,.Loop_upper_neon + + add w5,w5,w22 // accumulate key block + add x6,x6,x22,lsr#32 + add w7,w7,w23 + add x8,x8,x23,lsr#32 + add w9,w9,w24 + add x10,x10,x24,lsr#32 + add w11,w11,w25 + add x12,x12,x25,lsr#32 + add w13,w13,w26 + add x14,x14,x26,lsr#32 + add w15,w15,w27 + add x16,x16,x27,lsr#32 + add w17,w17,w28 + add x19,x19,x28,lsr#32 + add w20,w20,w30 + add x21,x21,x30,lsr#32 + + add x5,x5,x6,lsl#32 // pack + add x7,x7,x8,lsl#32 + ldp x6,x8,[x1,#0] // load input + add x9,x9,x10,lsl#32 + add x11,x11,x12,lsl#32 + ldp x10,x12,[x1,#16] + add x13,x13,x14,lsl#32 + add x15,x15,x16,lsl#32 + ldp x14,x16,[x1,#32] + add x17,x17,x19,lsl#32 + add x20,x20,x21,lsl#32 + ldp x19,x21,[x1,#48] + add x1,x1,#64 +#ifdef __AARCH64EB__ + rev x5,x5 + rev x7,x7 + rev x9,x9 + rev x11,x11 + rev x13,x13 + rev x15,x15 + rev x17,x17 + rev x20,x20 +#endif + eor x5,x5,x6 + eor x7,x7,x8 + eor x9,x9,x10 + eor x11,x11,x12 + eor x13,x13,x14 + eor x15,x15,x16 + eor x17,x17,x19 + eor x20,x20,x21 + + stp x5,x7,[x0,#0] // store output + add x28,x28,#1 // increment counter + mov w5,w22 // unpack key block + lsr x6,x22,#32 + stp x9,x11,[x0,#16] + mov w7,w23 + lsr x8,x23,#32 + stp x13,x15,[x0,#32] + mov w9,w24 + lsr x10,x24,#32 + stp x17,x20,[x0,#48] + add x0,x0,#64 + mov w11,w25 + lsr x12,x25,#32 + mov w13,w26 + lsr x14,x26,#32 + mov w15,w27 + lsr x16,x27,#32 + mov w17,w28 + lsr x19,x28,#32 + mov w20,w30 + lsr x21,x30,#32 + + mov x4,#5 +.Loop_lower_neon: + sub x4,x4,#1 + add v8.4s,v8.4s,v9.4s + add w5,w5,w9 + add v12.4s,v12.4s,v13.4s + add w6,w6,w10 + add v16.4s,v16.4s,v17.4s + add w7,w7,w11 + add v20.4s,v20.4s,v21.4s + add w8,w8,w12 + add v24.4s,v24.4s,v25.4s + eor w17,w17,w5 + add v28.4s,v28.4s,v29.4s + eor w19,w19,w6 + eor v11.16b,v11.16b,v8.16b + eor w20,w20,w7 + eor v15.16b,v15.16b,v12.16b + eor w21,w21,w8 + eor v19.16b,v19.16b,v16.16b + ror w17,w17,#16 + eor v23.16b,v23.16b,v20.16b + ror w19,w19,#16 + eor v27.16b,v27.16b,v24.16b + ror w20,w20,#16 + eor v31.16b,v31.16b,v28.16b + ror w21,w21,#16 + rev32 v11.8h,v11.8h + add w13,w13,w17 + rev32 v15.8h,v15.8h + add w14,w14,w19 + rev32 v19.8h,v19.8h + add w15,w15,w20 + rev32 v23.8h,v23.8h + add w16,w16,w21 + rev32 v27.8h,v27.8h + eor w9,w9,w13 + rev32 v31.8h,v31.8h + eor w10,w10,w14 + add v10.4s,v10.4s,v11.4s + eor w11,w11,w15 + add v14.4s,v14.4s,v15.4s + eor w12,w12,w16 + add v18.4s,v18.4s,v19.4s + ror w9,w9,#20 + add v22.4s,v22.4s,v23.4s + ror w10,w10,#20 + add v26.4s,v26.4s,v27.4s + ror w11,w11,#20 + add v30.4s,v30.4s,v31.4s + ror w12,w12,#20 + eor v0.16b,v9.16b,v10.16b + add w5,w5,w9 + eor v1.16b,v13.16b,v14.16b + add w6,w6,w10 + eor v2.16b,v17.16b,v18.16b + add w7,w7,w11 + eor v3.16b,v21.16b,v22.16b + add w8,w8,w12 + eor v4.16b,v25.16b,v26.16b + eor w17,w17,w5 + eor v5.16b,v29.16b,v30.16b + eor w19,w19,w6 + ushr v9.4s,v0.4s,#20 + eor w20,w20,w7 + ushr v13.4s,v1.4s,#20 + eor w21,w21,w8 + ushr v17.4s,v2.4s,#20 + ror w17,w17,#24 + ushr v21.4s,v3.4s,#20 + ror w19,w19,#24 + ushr v25.4s,v4.4s,#20 + ror w20,w20,#24 + ushr v29.4s,v5.4s,#20 + ror w21,w21,#24 + sli v9.4s,v0.4s,#12 + add w13,w13,w17 + sli v13.4s,v1.4s,#12 + add w14,w14,w19 + sli v17.4s,v2.4s,#12 + add w15,w15,w20 + sli v21.4s,v3.4s,#12 + add w16,w16,w21 + sli v25.4s,v4.4s,#12 + eor w9,w9,w13 + sli v29.4s,v5.4s,#12 + eor w10,w10,w14 + add v8.4s,v8.4s,v9.4s + eor w11,w11,w15 + add v12.4s,v12.4s,v13.4s + eor w12,w12,w16 + add v16.4s,v16.4s,v17.4s + ror w9,w9,#25 + add v20.4s,v20.4s,v21.4s + ror w10,w10,#25 + add v24.4s,v24.4s,v25.4s + ror w11,w11,#25 + add v28.4s,v28.4s,v29.4s + ror w12,w12,#25 + eor v11.16b,v11.16b,v8.16b + add w5,w5,w10 + eor v15.16b,v15.16b,v12.16b + add w6,w6,w11 + eor v19.16b,v19.16b,v16.16b + add w7,w7,w12 + eor v23.16b,v23.16b,v20.16b + add w8,w8,w9 + eor v27.16b,v27.16b,v24.16b + eor w21,w21,w5 + eor v31.16b,v31.16b,v28.16b + eor w17,w17,w6 + tbl v11.16b,{v11.16b},v6.16b + eor w19,w19,w7 + tbl v15.16b,{v15.16b},v6.16b + eor w20,w20,w8 + tbl v19.16b,{v19.16b},v6.16b + ror w21,w21,#16 + tbl v23.16b,{v23.16b},v6.16b + ror w17,w17,#16 + tbl v27.16b,{v27.16b},v6.16b + ror w19,w19,#16 + tbl v31.16b,{v31.16b},v6.16b + ror w20,w20,#16 + add v10.4s,v10.4s,v11.4s + add w15,w15,w21 + add v14.4s,v14.4s,v15.4s + add w16,w16,w17 + add v18.4s,v18.4s,v19.4s + add w13,w13,w19 + add v22.4s,v22.4s,v23.4s + add w14,w14,w20 + add v26.4s,v26.4s,v27.4s + eor w10,w10,w15 + add v30.4s,v30.4s,v31.4s + eor w11,w11,w16 + eor v0.16b,v9.16b,v10.16b + eor w12,w12,w13 + eor v1.16b,v13.16b,v14.16b + eor w9,w9,w14 + eor v2.16b,v17.16b,v18.16b + ror w10,w10,#20 + eor v3.16b,v21.16b,v22.16b + ror w11,w11,#20 + eor v4.16b,v25.16b,v26.16b + ror w12,w12,#20 + eor v5.16b,v29.16b,v30.16b + ror w9,w9,#20 + ushr v9.4s,v0.4s,#25 + add w5,w5,w10 + ushr v13.4s,v1.4s,#25 + add w6,w6,w11 + ushr v17.4s,v2.4s,#25 + add w7,w7,w12 + ushr v21.4s,v3.4s,#25 + add w8,w8,w9 + ushr v25.4s,v4.4s,#25 + eor w21,w21,w5 + ushr v29.4s,v5.4s,#25 + eor w17,w17,w6 + sli v9.4s,v0.4s,#7 + eor w19,w19,w7 + sli v13.4s,v1.4s,#7 + eor w20,w20,w8 + sli v17.4s,v2.4s,#7 + ror w21,w21,#24 + sli v21.4s,v3.4s,#7 + ror w17,w17,#24 + sli v25.4s,v4.4s,#7 + ror w19,w19,#24 + sli v29.4s,v5.4s,#7 + ror w20,w20,#24 + ext v10.16b,v10.16b,v10.16b,#8 + add w15,w15,w21 + ext v14.16b,v14.16b,v14.16b,#8 + add w16,w16,w17 + ext v18.16b,v18.16b,v18.16b,#8 + add w13,w13,w19 + ext v22.16b,v22.16b,v22.16b,#8 + add w14,w14,w20 + ext v26.16b,v26.16b,v26.16b,#8 + eor w10,w10,w15 + ext v30.16b,v30.16b,v30.16b,#8 + eor w11,w11,w16 + ext v11.16b,v11.16b,v11.16b,#12 + eor w12,w12,w13 + ext v15.16b,v15.16b,v15.16b,#12 + eor w9,w9,w14 + ext v19.16b,v19.16b,v19.16b,#12 + ror w10,w10,#25 + ext v23.16b,v23.16b,v23.16b,#12 + ror w11,w11,#25 + ext v27.16b,v27.16b,v27.16b,#12 + ror w12,w12,#25 + ext v31.16b,v31.16b,v31.16b,#12 + ror w9,w9,#25 + ext v9.16b,v9.16b,v9.16b,#4 + ext v13.16b,v13.16b,v13.16b,#4 + ext v17.16b,v17.16b,v17.16b,#4 + ext v21.16b,v21.16b,v21.16b,#4 + ext v25.16b,v25.16b,v25.16b,#4 + ext v29.16b,v29.16b,v29.16b,#4 + add v8.4s,v8.4s,v9.4s + add w5,w5,w9 + add v12.4s,v12.4s,v13.4s + add w6,w6,w10 + add v16.4s,v16.4s,v17.4s + add w7,w7,w11 + add v20.4s,v20.4s,v21.4s + add w8,w8,w12 + add v24.4s,v24.4s,v25.4s + eor w17,w17,w5 + add v28.4s,v28.4s,v29.4s + eor w19,w19,w6 + eor v11.16b,v11.16b,v8.16b + eor w20,w20,w7 + eor v15.16b,v15.16b,v12.16b + eor w21,w21,w8 + eor v19.16b,v19.16b,v16.16b + ror w17,w17,#16 + eor v23.16b,v23.16b,v20.16b + ror w19,w19,#16 + eor v27.16b,v27.16b,v24.16b + ror w20,w20,#16 + eor v31.16b,v31.16b,v28.16b + ror w21,w21,#16 + rev32 v11.8h,v11.8h + add w13,w13,w17 + rev32 v15.8h,v15.8h + add w14,w14,w19 + rev32 v19.8h,v19.8h + add w15,w15,w20 + rev32 v23.8h,v23.8h + add w16,w16,w21 + rev32 v27.8h,v27.8h + eor w9,w9,w13 + rev32 v31.8h,v31.8h + eor w10,w10,w14 + add v10.4s,v10.4s,v11.4s + eor w11,w11,w15 + add v14.4s,v14.4s,v15.4s + eor w12,w12,w16 + add v18.4s,v18.4s,v19.4s + ror w9,w9,#20 + add v22.4s,v22.4s,v23.4s + ror w10,w10,#20 + add v26.4s,v26.4s,v27.4s + ror w11,w11,#20 + add v30.4s,v30.4s,v31.4s + ror w12,w12,#20 + eor v0.16b,v9.16b,v10.16b + add w5,w5,w9 + eor v1.16b,v13.16b,v14.16b + add w6,w6,w10 + eor v2.16b,v17.16b,v18.16b + add w7,w7,w11 + eor v3.16b,v21.16b,v22.16b + add w8,w8,w12 + eor v4.16b,v25.16b,v26.16b + eor w17,w17,w5 + eor v5.16b,v29.16b,v30.16b + eor w19,w19,w6 + ushr v9.4s,v0.4s,#20 + eor w20,w20,w7 + ushr v13.4s,v1.4s,#20 + eor w21,w21,w8 + ushr v17.4s,v2.4s,#20 + ror w17,w17,#24 + ushr v21.4s,v3.4s,#20 + ror w19,w19,#24 + ushr v25.4s,v4.4s,#20 + ror w20,w20,#24 + ushr v29.4s,v5.4s,#20 + ror w21,w21,#24 + sli v9.4s,v0.4s,#12 + add w13,w13,w17 + sli v13.4s,v1.4s,#12 + add w14,w14,w19 + sli v17.4s,v2.4s,#12 + add w15,w15,w20 + sli v21.4s,v3.4s,#12 + add w16,w16,w21 + sli v25.4s,v4.4s,#12 + eor w9,w9,w13 + sli v29.4s,v5.4s,#12 + eor w10,w10,w14 + add v8.4s,v8.4s,v9.4s + eor w11,w11,w15 + add v12.4s,v12.4s,v13.4s + eor w12,w12,w16 + add v16.4s,v16.4s,v17.4s + ror w9,w9,#25 + add v20.4s,v20.4s,v21.4s + ror w10,w10,#25 + add v24.4s,v24.4s,v25.4s + ror w11,w11,#25 + add v28.4s,v28.4s,v29.4s + ror w12,w12,#25 + eor v11.16b,v11.16b,v8.16b + add w5,w5,w10 + eor v15.16b,v15.16b,v12.16b + add w6,w6,w11 + eor v19.16b,v19.16b,v16.16b + add w7,w7,w12 + eor v23.16b,v23.16b,v20.16b + add w8,w8,w9 + eor v27.16b,v27.16b,v24.16b + eor w21,w21,w5 + eor v31.16b,v31.16b,v28.16b + eor w17,w17,w6 + tbl v11.16b,{v11.16b},v6.16b + eor w19,w19,w7 + tbl v15.16b,{v15.16b},v6.16b + eor w20,w20,w8 + tbl v19.16b,{v19.16b},v6.16b + ror w21,w21,#16 + tbl v23.16b,{v23.16b},v6.16b + ror w17,w17,#16 + tbl v27.16b,{v27.16b},v6.16b + ror w19,w19,#16 + tbl v31.16b,{v31.16b},v6.16b + ror w20,w20,#16 + add v10.4s,v10.4s,v11.4s + add w15,w15,w21 + add v14.4s,v14.4s,v15.4s + add w16,w16,w17 + add v18.4s,v18.4s,v19.4s + add w13,w13,w19 + add v22.4s,v22.4s,v23.4s + add w14,w14,w20 + add v26.4s,v26.4s,v27.4s + eor w10,w10,w15 + add v30.4s,v30.4s,v31.4s + eor w11,w11,w16 + eor v0.16b,v9.16b,v10.16b + eor w12,w12,w13 + eor v1.16b,v13.16b,v14.16b + eor w9,w9,w14 + eor v2.16b,v17.16b,v18.16b + ror w10,w10,#20 + eor v3.16b,v21.16b,v22.16b + ror w11,w11,#20 + eor v4.16b,v25.16b,v26.16b + ror w12,w12,#20 + eor v5.16b,v29.16b,v30.16b + ror w9,w9,#20 + ushr v9.4s,v0.4s,#25 + add w5,w5,w10 + ushr v13.4s,v1.4s,#25 + add w6,w6,w11 + ushr v17.4s,v2.4s,#25 + add w7,w7,w12 + ushr v21.4s,v3.4s,#25 + add w8,w8,w9 + ushr v25.4s,v4.4s,#25 + eor w21,w21,w5 + ushr v29.4s,v5.4s,#25 + eor w17,w17,w6 + sli v9.4s,v0.4s,#7 + eor w19,w19,w7 + sli v13.4s,v1.4s,#7 + eor w20,w20,w8 + sli v17.4s,v2.4s,#7 + ror w21,w21,#24 + sli v21.4s,v3.4s,#7 + ror w17,w17,#24 + sli v25.4s,v4.4s,#7 + ror w19,w19,#24 + sli v29.4s,v5.4s,#7 + ror w20,w20,#24 + ext v10.16b,v10.16b,v10.16b,#8 + add w15,w15,w21 + ext v14.16b,v14.16b,v14.16b,#8 + add w16,w16,w17 + ext v18.16b,v18.16b,v18.16b,#8 + add w13,w13,w19 + ext v22.16b,v22.16b,v22.16b,#8 + add w14,w14,w20 + ext v26.16b,v26.16b,v26.16b,#8 + eor w10,w10,w15 + ext v30.16b,v30.16b,v30.16b,#8 + eor w11,w11,w16 + ext v11.16b,v11.16b,v11.16b,#4 + eor w12,w12,w13 + ext v15.16b,v15.16b,v15.16b,#4 + eor w9,w9,w14 + ext v19.16b,v19.16b,v19.16b,#4 + ror w10,w10,#25 + ext v23.16b,v23.16b,v23.16b,#4 + ror w11,w11,#25 + ext v27.16b,v27.16b,v27.16b,#4 + ror w12,w12,#25 + ext v31.16b,v31.16b,v31.16b,#4 + ror w9,w9,#25 + ext v9.16b,v9.16b,v9.16b,#12 + ext v13.16b,v13.16b,v13.16b,#12 + ext v17.16b,v17.16b,v17.16b,#12 + ext v21.16b,v21.16b,v21.16b,#12 + ext v25.16b,v25.16b,v25.16b,#12 + ext v29.16b,v29.16b,v29.16b,#12 + cbnz x4,.Loop_lower_neon + + add w5,w5,w22 // accumulate key block + ldp q0,q1,[sp,#0] + add x6,x6,x22,lsr#32 + ldp q2,q3,[sp,#32] + add w7,w7,w23 + ldp q4,q5,[sp,#64] + add x8,x8,x23,lsr#32 + ldr q6,[sp,#96] + add v8.4s,v8.4s,v0.4s + add w9,w9,w24 + add v12.4s,v12.4s,v0.4s + add x10,x10,x24,lsr#32 + add v16.4s,v16.4s,v0.4s + add w11,w11,w25 + add v20.4s,v20.4s,v0.4s + add x12,x12,x25,lsr#32 + add v24.4s,v24.4s,v0.4s + add w13,w13,w26 + add v28.4s,v28.4s,v0.4s + add x14,x14,x26,lsr#32 + add v10.4s,v10.4s,v2.4s + add w15,w15,w27 + add v14.4s,v14.4s,v2.4s + add x16,x16,x27,lsr#32 + add v18.4s,v18.4s,v2.4s + add w17,w17,w28 + add v22.4s,v22.4s,v2.4s + add x19,x19,x28,lsr#32 + add v26.4s,v26.4s,v2.4s + add w20,w20,w30 + add v30.4s,v30.4s,v2.4s + add x21,x21,x30,lsr#32 + add v27.4s,v27.4s,v7.4s // +4 + add x5,x5,x6,lsl#32 // pack + add v31.4s,v31.4s,v7.4s // +4 + add x7,x7,x8,lsl#32 + add v11.4s,v11.4s,v3.4s + ldp x6,x8,[x1,#0] // load input + add v15.4s,v15.4s,v4.4s + add x9,x9,x10,lsl#32 + add v19.4s,v19.4s,v5.4s + add x11,x11,x12,lsl#32 + add v23.4s,v23.4s,v6.4s + ldp x10,x12,[x1,#16] + add v27.4s,v27.4s,v3.4s + add x13,x13,x14,lsl#32 + add v31.4s,v31.4s,v4.4s + add x15,x15,x16,lsl#32 + add v9.4s,v9.4s,v1.4s + ldp x14,x16,[x1,#32] + add v13.4s,v13.4s,v1.4s + add x17,x17,x19,lsl#32 + add v17.4s,v17.4s,v1.4s + add x20,x20,x21,lsl#32 + add v21.4s,v21.4s,v1.4s + ldp x19,x21,[x1,#48] + add v25.4s,v25.4s,v1.4s + add x1,x1,#64 + add v29.4s,v29.4s,v1.4s + +#ifdef __AARCH64EB__ + rev x5,x5 + rev x7,x7 + rev x9,x9 + rev x11,x11 + rev x13,x13 + rev x15,x15 + rev x17,x17 + rev x20,x20 +#endif + ld1 {v0.16b,v1.16b,v2.16b,v3.16b},[x1],#64 + eor x5,x5,x6 + eor x7,x7,x8 + eor x9,x9,x10 + eor x11,x11,x12 + eor x13,x13,x14 + eor v8.16b,v8.16b,v0.16b + eor x15,x15,x16 + eor v9.16b,v9.16b,v1.16b + eor x17,x17,x19 + eor v10.16b,v10.16b,v2.16b + eor x20,x20,x21 + eor v11.16b,v11.16b,v3.16b + ld1 {v0.16b,v1.16b,v2.16b,v3.16b},[x1],#64 + + stp x5,x7,[x0,#0] // store output + add x28,x28,#7 // increment counter + stp x9,x11,[x0,#16] + stp x13,x15,[x0,#32] + stp x17,x20,[x0,#48] + add x0,x0,#64 + st1 {v8.16b,v9.16b,v10.16b,v11.16b},[x0],#64 + + ld1 {v8.16b,v9.16b,v10.16b,v11.16b},[x1],#64 + eor v12.16b,v12.16b,v0.16b + eor v13.16b,v13.16b,v1.16b + eor v14.16b,v14.16b,v2.16b + eor v15.16b,v15.16b,v3.16b + st1 {v12.16b,v13.16b,v14.16b,v15.16b},[x0],#64 + + ld1 {v12.16b,v13.16b,v14.16b,v15.16b},[x1],#64 + eor v16.16b,v16.16b,v8.16b + ldp q0,q1,[sp,#0] + eor v17.16b,v17.16b,v9.16b + ldp q2,q3,[sp,#32] + eor v18.16b,v18.16b,v10.16b + eor v19.16b,v19.16b,v11.16b + st1 {v16.16b,v17.16b,v18.16b,v19.16b},[x0],#64 + + ld1 {v16.16b,v17.16b,v18.16b,v19.16b},[x1],#64 + eor v20.16b,v20.16b,v12.16b + eor v21.16b,v21.16b,v13.16b + eor v22.16b,v22.16b,v14.16b + eor v23.16b,v23.16b,v15.16b + st1 {v20.16b,v21.16b,v22.16b,v23.16b},[x0],#64 + + ld1 {v20.16b,v21.16b,v22.16b,v23.16b},[x1],#64 + eor v24.16b,v24.16b,v16.16b + eor v25.16b,v25.16b,v17.16b + eor v26.16b,v26.16b,v18.16b + eor v27.16b,v27.16b,v19.16b + st1 {v24.16b,v25.16b,v26.16b,v27.16b},[x0],#64 + + shl v8.4s,v7.4s,#1 // 4 -> 8 + eor v28.16b,v28.16b,v20.16b + eor v29.16b,v29.16b,v21.16b + eor v30.16b,v30.16b,v22.16b + eor v31.16b,v31.16b,v23.16b + st1 {v28.16b,v29.16b,v30.16b,v31.16b},[x0],#64 + + add v3.4s,v3.4s,v8.4s // += 8 + add v4.4s,v4.4s,v8.4s + add v5.4s,v5.4s,v8.4s + add v6.4s,v6.4s,v8.4s + + b.hs .Loop_outer_512_neon + + adds x2,x2,#512 + ushr v7.4s,v7.4s,#1 // 4 -> 2 + + ldp d10,d11,[sp,#128+16] // meet ABI requirements + ldp d12,d13,[sp,#128+32] + ldp d14,d15,[sp,#128+48] + + stp q0,q0,[sp,#16] // wipe key off-load area + stp q0,q0,[sp,#48] // [with known constant] + stp q0,q0,[sp,#80] + + b.eq .Ldone_512_neon + + // we have <512 bytes tail, harmonize state with other contexts + sub x3,x3,#16 + cmp x2,#192 + add sp,sp,#128 + sub v3.4s,v3.4s,v7.4s // -= 2 + ld1 {v8.4s,v9.4s},[x3] + b.hs .Loop_outer_neon + + ldp d8,d9,[sp,#0] // meet ABI requirements + eor v1.16b,v1.16b,v1.16b // cleanse key and nonce + eor v2.16b,v2.16b,v2.16b + eor v3.16b,v3.16b,v3.16b + eor v4.16b,v4.16b,v4.16b + eor v5.16b,v5.16b,v5.16b + eor v6.16b,v6.16b,v6.16b + b .Loop_outer + +.Ldone_512_neon: + ldp d8,d9,[sp,#128+0] // meet ABI requirements + eor v1.16b,v1.16b,v1.16b // cleanse key and nonce + eor v2.16b,v2.16b,v2.16b + eor v3.16b,v3.16b,v3.16b + eor v4.16b,v4.16b,v4.16b + eor v5.16b,v5.16b,v5.16b + eor v6.16b,v6.16b,v6.16b + + ldp x19,x20,[x29,#2*__SIZEOF_POINTER__] + add sp,sp,#128+64 + ldp x21,x22,[x29,#4*__SIZEOF_POINTER__] + ldp x23,x24,[x29,#6*__SIZEOF_POINTER__] + ldp x25,x26,[x29,#8*__SIZEOF_POINTER__] + ldp x27,x28,[x29,#10*__SIZEOF_POINTER__] + ldp x29,x30,[sp],#12*__SIZEOF_POINTER__ +.inst 0xd50323bf // autiasp + ret +.size crypton_chacha20_asm_512_neon,.-crypton_chacha20_asm_512_neon + +.section .note.GNU-stack,"",%progbits diff --git a/cbits/asm/chacha-armv8.pl b/cbits/asm/chacha-armv8.pl new file mode 100644 --- /dev/null +++ b/cbits/asm/chacha-armv8.pl @@ -0,0 +1,1328 @@ +#!/usr/bin/env perl +# +# ==================================================================== +# Written by Andy Polyakov, @dot-asm, initially for the OpenSSL +# project. +# ==================================================================== +# +# June 2015 +# +# ChaCha20 for ARMv8. +# +# April 2019 +# +# Replace 3xNEON+1xIALU code path with 4+1. 4+1 is actually fastest +# option on most(*), but not all, processors, yet 6+2 is retained. +# This is because penalties are considered tolerable in comparison to +# improvement on processors where 6+2 helps. Most notably +37% on +# ThunderX2. It's server-oriented processor which will have to serve +# as many requests as possible. While others are mostly clients, when +# performance doesn't have to be absolute top-notch, just fast enough, +# as majority of time is spent "entertaining" relatively slow human. +# +# Performance in cycles per byte out of large buffer. +# +# IALU/gcc-4.9 4xNEON+1xIALU 6xNEON+2xIALU +# +# Apple A7 5.50/+49% 2.72 1.60 +# Apple A14/M1 4.50/+27% 1.84 1.27 +# Cortex-A53 8.40/+80% 4.06 4.45(*) +# Cortex-A57 8.06/+43% 4.08 4.40(*) +# Cortex-A76 5.52 2.90 2.40 +# Cortex-X2 4.35 2.53 1.62 +# Cortex-X925 3.94 1.79 1.30 +# Denver 4.50/+82% 2.30 2.70(*) +# X-Gene 9.50/+46% 8.20 8.90(*) +# Mongoose 8.00/+44% 2.74 3.12(*) +# Kryo 8.17/+50% 4.47 4.65(*) +# ThunderX2 7.22/+48% 5.64 4.10 +# Snapdragon X 3.90 1.79 1.25 +# +# (*) slower than 4+1:-( + +$flavour=shift; +$output=shift; + +if ($flavour && $flavour ne "void") { + $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; + ( $xlate="${dir}arm-xlate.pl" and -f $xlate ) or + ( $xlate="${dir}../../perlasm/arm-xlate.pl" and -f $xlate) or + die "can't locate arm-xlate.pl"; + + open STDOUT,"| \"$^X\" $xlate $flavour $output"; +} else { + open STDOUT,">$output"; +} + +sub AUTOLOAD() # thunk [simplified] x86-style perlasm +{ my $opcode = $AUTOLOAD; $opcode =~ s/.*:://; $opcode =~ s/_/\./; + my $arg = pop; + $arg = "#$arg" if ($arg*1 eq $arg); + $code .= "\t$opcode\t".join(',',@_,$arg)."\n"; +} + +my ($out,$inp,$len,$key,$ctr) = map("x$_",(0..4)); + +my @x=map("x$_",(5..17,19..21)); +my @d=map("x$_",(22..28,30)); + +sub ROUND { +my ($a0,$b0,$c0,$d0)=@_; +my ($a1,$b1,$c1,$d1)=map(($_&~3)+(($_+1)&3),($a0,$b0,$c0,$d0)); +my ($a2,$b2,$c2,$d2)=map(($_&~3)+(($_+1)&3),($a1,$b1,$c1,$d1)); +my ($a3,$b3,$c3,$d3)=map(($_&~3)+(($_+1)&3),($a2,$b2,$c2,$d2)); + + ( + "&add_32 (@x[$a0],@x[$a0],@x[$b0])", + "&add_32 (@x[$a1],@x[$a1],@x[$b1])", + "&add_32 (@x[$a2],@x[$a2],@x[$b2])", + "&add_32 (@x[$a3],@x[$a3],@x[$b3])", + "&eor_32 (@x[$d0],@x[$d0],@x[$a0])", + "&eor_32 (@x[$d1],@x[$d1],@x[$a1])", + "&eor_32 (@x[$d2],@x[$d2],@x[$a2])", + "&eor_32 (@x[$d3],@x[$d3],@x[$a3])", + "&ror_32 (@x[$d0],@x[$d0],16)", + "&ror_32 (@x[$d1],@x[$d1],16)", + "&ror_32 (@x[$d2],@x[$d2],16)", + "&ror_32 (@x[$d3],@x[$d3],16)", + + "&add_32 (@x[$c0],@x[$c0],@x[$d0])", + "&add_32 (@x[$c1],@x[$c1],@x[$d1])", + "&add_32 (@x[$c2],@x[$c2],@x[$d2])", + "&add_32 (@x[$c3],@x[$c3],@x[$d3])", + "&eor_32 (@x[$b0],@x[$b0],@x[$c0])", + "&eor_32 (@x[$b1],@x[$b1],@x[$c1])", + "&eor_32 (@x[$b2],@x[$b2],@x[$c2])", + "&eor_32 (@x[$b3],@x[$b3],@x[$c3])", + "&ror_32 (@x[$b0],@x[$b0],20)", + "&ror_32 (@x[$b1],@x[$b1],20)", + "&ror_32 (@x[$b2],@x[$b2],20)", + "&ror_32 (@x[$b3],@x[$b3],20)", + + "&add_32 (@x[$a0],@x[$a0],@x[$b0])", + "&add_32 (@x[$a1],@x[$a1],@x[$b1])", + "&add_32 (@x[$a2],@x[$a2],@x[$b2])", + "&add_32 (@x[$a3],@x[$a3],@x[$b3])", + "&eor_32 (@x[$d0],@x[$d0],@x[$a0])", + "&eor_32 (@x[$d1],@x[$d1],@x[$a1])", + "&eor_32 (@x[$d2],@x[$d2],@x[$a2])", + "&eor_32 (@x[$d3],@x[$d3],@x[$a3])", + "&ror_32 (@x[$d0],@x[$d0],24)", + "&ror_32 (@x[$d1],@x[$d1],24)", + "&ror_32 (@x[$d2],@x[$d2],24)", + "&ror_32 (@x[$d3],@x[$d3],24)", + + "&add_32 (@x[$c0],@x[$c0],@x[$d0])", + "&add_32 (@x[$c1],@x[$c1],@x[$d1])", + "&add_32 (@x[$c2],@x[$c2],@x[$d2])", + "&add_32 (@x[$c3],@x[$c3],@x[$d3])", + "&eor_32 (@x[$b0],@x[$b0],@x[$c0])", + "&eor_32 (@x[$b1],@x[$b1],@x[$c1])", + "&eor_32 (@x[$b2],@x[$b2],@x[$c2])", + "&eor_32 (@x[$b3],@x[$b3],@x[$c3])", + "&ror_32 (@x[$b0],@x[$b0],25)", + "&ror_32 (@x[$b1],@x[$b1],25)", + "&ror_32 (@x[$b2],@x[$b2],25)", + "&ror_32 (@x[$b3],@x[$b3],25)" + ); +} + +$code.=<<___; +#ifndef __KERNEL__ +# include "arm_arch.h" +.extern OPENSSL_armcap_P +#endif + +.text + +.align 5 +.Lsigma: +.quad 0x3320646e61707865,0x6b20657479622d32 // endian-neutral +.Lone: +.long 1,2,3,4 +.Lrot24: +.long 0x02010003,0x06050407,0x0a09080b,0x0e0d0c0f +.asciz "ChaCha20 for ARMv8, CRYPTOGAMS by \@dot-asm" + +.globl ChaCha20_ctr32 +.type ChaCha20_ctr32,%function +.align 5 +ChaCha20_ctr32: + cbz $len,.Labort + cmp $len,#192 + b.lo .Lshort + +#ifndef __KERNEL__ + adrp c17,OPENSSL_armcap_P + ldr w17,[c17,#:lo12:OPENSSL_armcap_P] + tst w17,#ARMV7_NEON + b.ne .LChaCha20_neon +#endif + +.Lshort: + .inst 0xd503233f // paciasp + stp c29,c30,[sp,#-12*__SIZEOF_POINTER__]! + add c29,csp,#0 + + adr @x[0],.Lsigma + stp c19,c20,[csp,#2*__SIZEOF_POINTER__] + stp c21,c22,[csp,#4*__SIZEOF_POINTER__] + stp c23,c24,[csp,#6*__SIZEOF_POINTER__] + stp c25,c26,[csp,#8*__SIZEOF_POINTER__] + stp c27,c28,[csp,#10*__SIZEOF_POINTER__] + sub csp,csp,#64 + + ldp @d[0],@d[1],[@x[0]] // load sigma + ldp @d[2],@d[3],[$key] // load key + ldp @d[4],@d[5],[$key,#16] + ldp @d[6],@d[7],[$ctr] // load counter +#ifdef __AARCH64EB__ + ror @d[2],@d[2],#32 + ror @d[3],@d[3],#32 + ror @d[4],@d[4],#32 + ror @d[5],@d[5],#32 + ror @d[6],@d[6],#32 + ror @d[7],@d[7],#32 +#endif + +.Loop_outer: + mov.32 @x[0],@d[0] // unpack key block + lsr @x[1],@d[0],#32 + mov.32 @x[2],@d[1] + lsr @x[3],@d[1],#32 + mov.32 @x[4],@d[2] + lsr @x[5],@d[2],#32 + mov.32 @x[6],@d[3] + lsr @x[7],@d[3],#32 + mov.32 @x[8],@d[4] + lsr @x[9],@d[4],#32 + mov.32 @x[10],@d[5] + lsr @x[11],@d[5],#32 + mov.32 @x[12],@d[6] + lsr @x[13],@d[6],#32 + mov.32 @x[14],@d[7] + lsr @x[15],@d[7],#32 + + mov $ctr,#10 + subs $len,$len,#64 +.Loop: + sub $ctr,$ctr,#1 +___ + foreach (&ROUND(0, 4, 8,12)) { eval; } + foreach (&ROUND(0, 5,10,15)) { eval; } +$code.=<<___; + cbnz $ctr,.Loop + + add.32 @x[0],@x[0],@d[0] // accumulate key block + add @x[1],@x[1],@d[0],lsr#32 + add.32 @x[2],@x[2],@d[1] + add @x[3],@x[3],@d[1],lsr#32 + add.32 @x[4],@x[4],@d[2] + add @x[5],@x[5],@d[2],lsr#32 + add.32 @x[6],@x[6],@d[3] + add @x[7],@x[7],@d[3],lsr#32 + add.32 @x[8],@x[8],@d[4] + add @x[9],@x[9],@d[4],lsr#32 + add.32 @x[10],@x[10],@d[5] + add @x[11],@x[11],@d[5],lsr#32 + add.32 @x[12],@x[12],@d[6] + add @x[13],@x[13],@d[6],lsr#32 + add.32 @x[14],@x[14],@d[7] + add @x[15],@x[15],@d[7],lsr#32 + + b.lo .Ltail + + add @x[0],@x[0],@x[1],lsl#32 // pack + add @x[2],@x[2],@x[3],lsl#32 + ldp @x[1],@x[3],[$inp,#0] // load input + add @x[4],@x[4],@x[5],lsl#32 + add @x[6],@x[6],@x[7],lsl#32 + ldp @x[5],@x[7],[$inp,#16] + add @x[8],@x[8],@x[9],lsl#32 + add @x[10],@x[10],@x[11],lsl#32 + ldp @x[9],@x[11],[$inp,#32] + add @x[12],@x[12],@x[13],lsl#32 + add @x[14],@x[14],@x[15],lsl#32 + ldp @x[13],@x[15],[$inp,#48] + cadd $inp,$inp,#64 +#ifdef __AARCH64EB__ + rev @x[0],@x[0] + rev @x[2],@x[2] + rev @x[4],@x[4] + rev @x[6],@x[6] + rev @x[8],@x[8] + rev @x[10],@x[10] + rev @x[12],@x[12] + rev @x[14],@x[14] +#endif + eor @x[0],@x[0],@x[1] + eor @x[2],@x[2],@x[3] + eor @x[4],@x[4],@x[5] + eor @x[6],@x[6],@x[7] + eor @x[8],@x[8],@x[9] + eor @x[10],@x[10],@x[11] + eor @x[12],@x[12],@x[13] + eor @x[14],@x[14],@x[15] + + stp @x[0],@x[2],[$out,#0] // store output + add @d[6],@d[6],#1 // increment counter + stp @x[4],@x[6],[$out,#16] + stp @x[8],@x[10],[$out,#32] + stp @x[12],@x[14],[$out,#48] + cadd $out,$out,#64 + + b.hi .Loop_outer + + ldp c19,c20,[c29,#2*__SIZEOF_POINTER__] + add csp,csp,#64 + ldp c21,c22,[c29,#4*__SIZEOF_POINTER__] + ldp c23,c24,[c29,#6*__SIZEOF_POINTER__] + ldp c25,c26,[c29,#8*__SIZEOF_POINTER__] + ldp c27,c28,[c29,#10*__SIZEOF_POINTER__] + ldp c29,c30,[csp],#12*__SIZEOF_POINTER__ + .inst 0xd50323bf // autiasp +.Labort: + ret + +.align 4 +.Ltail: + add $len,$len,#64 +.Less_than_64: + csub $out,$out,#1 + cadd $inp,$inp,$len + cadd $out,$out,$len + cadd $ctr,sp,$len + neg $len,$len + + add @x[0],@x[0],@x[1],lsl#32 // pack + add @x[2],@x[2],@x[3],lsl#32 + add @x[4],@x[4],@x[5],lsl#32 + add @x[6],@x[6],@x[7],lsl#32 + add @x[8],@x[8],@x[9],lsl#32 + add @x[10],@x[10],@x[11],lsl#32 + add @x[12],@x[12],@x[13],lsl#32 + add @x[14],@x[14],@x[15],lsl#32 +#ifdef __AARCH64EB__ + rev @x[0],@x[0] + rev @x[2],@x[2] + rev @x[4],@x[4] + rev @x[6],@x[6] + rev @x[8],@x[8] + rev @x[10],@x[10] + rev @x[12],@x[12] + rev @x[14],@x[14] +#endif + stp @x[0],@x[2],[sp,#0] // off-load complete block + stp @x[4],@x[6],[sp,#16] + stp @x[8],@x[10],[sp,#32] + stp @x[12],@x[14],[sp,#48] + +.Loop_tail: + ldrb w10,[$inp,$len] + ldrb w11,[$ctr,$len] + add $len,$len,#1 + eor w10,w10,w11 + strb w10,[$out,$len] + cbnz $len,.Loop_tail + + stp xzr,xzr,[sp,#0] // wipe off-load area + stp xzr,xzr,[sp,#16] + stp xzr,xzr,[sp,#32] + stp xzr,xzr,[sp,#48] + + ldp c19,c20,[c29,#2*__SIZEOF_POINTER__] + add csp,csp,#64 + ldp c21,c22,[c29,#4*__SIZEOF_POINTER__] + ldp c23,c24,[c29,#6*__SIZEOF_POINTER__] + ldp c25,c26,[c29,#8*__SIZEOF_POINTER__] + ldp c27,c28,[c29,#10*__SIZEOF_POINTER__] + ldp c29,c30,[csp],#12*__SIZEOF_POINTER__ + .inst 0xd50323bf // autiasp + ret +.size ChaCha20_ctr32,.-ChaCha20_ctr32 +___ + +{{{ +######################################################################## +# 4x"vertical" layout reduces *total* amount of instructions by trading +# 60 "horizontal" permutations in inner loop for 32-instruction diagonal +# transposition at the loop exit. And since NEON instruction issue rate +# is customarily limited, it's possible to process one additional block +# with scalar instructions at no additional cost. Hence the "4+1" +# description... + +my @K = map("v$_.4s",(0..3)); +my ($xt0,$xt1,$xt2,$xt3, $CTR,$ROT24) = map("v$_.4s",(4..9)); +my @X = map("v$_.4s",(16,20,24,28, 17,21,25,29, 18,22,26,30, 19,23,27,31)); +my ($xa0,$xa1,$xa2,$xa3, $xb0,$xb1,$xb2,$xb3, + $xc0,$xc1,$xc2,$xc3, $xd0,$xd1,$xd2,$xd3) = @X; + +sub NEON_lane_ROUND { +my ($a0,$b0,$c0,$d0)=@_; +my ($a1,$b1,$c1,$d1)=map(($_&~3)+(($_+1)&3),($a0,$b0,$c0,$d0)); +my ($a2,$b2,$c2,$d2)=map(($_&~3)+(($_+1)&3),($a1,$b1,$c1,$d1)); +my ($a3,$b3,$c3,$d3)=map(($_&~3)+(($_+1)&3),($a2,$b2,$c2,$d2)); +my @x=map("'$_'",@X); + + ( + "&add (@x[$a0],@x[$a0],@x[$b0])", # Q1 + "&add (@x[$a1],@x[$a1],@x[$b1])", # Q2 + "&add (@x[$a2],@x[$a2],@x[$b2])", # Q3 + "&add (@x[$a3],@x[$a3],@x[$b3])", # Q4 + "&eor (@x[$d0],@x[$d0],@x[$a0])", + "&eor (@x[$d1],@x[$d1],@x[$a1])", + "&eor (@x[$d2],@x[$d2],@x[$a2])", + "&eor (@x[$d3],@x[$d3],@x[$a3])", + "&rev32_16 (@x[$d0],@x[$d0])", + "&rev32_16 (@x[$d1],@x[$d1])", + "&rev32_16 (@x[$d2],@x[$d2])", + "&rev32_16 (@x[$d3],@x[$d3])", + + "&add (@x[$c0],@x[$c0],@x[$d0])", + "&add (@x[$c1],@x[$c1],@x[$d1])", + "&add (@x[$c2],@x[$c2],@x[$d2])", + "&add (@x[$c3],@x[$c3],@x[$d3])", + "&eor ('$xt0',@x[$b0],@x[$c0])", + "&eor ('$xt1',@x[$b1],@x[$c1])", + "&eor ('$xt2',@x[$b2],@x[$c2])", + "&eor ('$xt3',@x[$b3],@x[$c3])", + "&ushr (@x[$b0],'$xt0',20)", + "&ushr (@x[$b1],'$xt1',20)", + "&ushr (@x[$b2],'$xt2',20)", + "&ushr (@x[$b3],'$xt3',20)", + "&sli (@x[$b0],'$xt0',12)", + "&sli (@x[$b1],'$xt1',12)", + "&sli (@x[$b2],'$xt2',12)", + "&sli (@x[$b3],'$xt3',12)", + + "&add (@x[$a0],@x[$a0],@x[$b0])", + "&add (@x[$a1],@x[$a1],@x[$b1])", + "&add (@x[$a2],@x[$a2],@x[$b2])", + "&add (@x[$a3],@x[$a3],@x[$b3])", + "&eor ('$xt0',@x[$d0],@x[$a0])", + "&eor ('$xt1',@x[$d1],@x[$a1])", + "&eor ('$xt2',@x[$d2],@x[$a2])", + "&eor ('$xt3',@x[$d3],@x[$a3])", + "&tbl (@x[$d0],'{$xt0}','$ROT24')", + "&tbl (@x[$d1],'{$xt1}','$ROT24')", + "&tbl (@x[$d2],'{$xt2}','$ROT24')", + "&tbl (@x[$d3],'{$xt3}','$ROT24')", + + "&add (@x[$c0],@x[$c0],@x[$d0])", + "&add (@x[$c1],@x[$c1],@x[$d1])", + "&add (@x[$c2],@x[$c2],@x[$d2])", + "&add (@x[$c3],@x[$c3],@x[$d3])", + "&eor ('$xt0',@x[$b0],@x[$c0])", + "&eor ('$xt1',@x[$b1],@x[$c1])", + "&eor ('$xt2',@x[$b2],@x[$c2])", + "&eor ('$xt3',@x[$b3],@x[$c3])", + "&ushr (@x[$b0],'$xt0',25)", + "&ushr (@x[$b1],'$xt1',25)", + "&ushr (@x[$b2],'$xt2',25)", + "&ushr (@x[$b3],'$xt3',25)", + "&sli (@x[$b0],'$xt0',7)", + "&sli (@x[$b1],'$xt1',7)", + "&sli (@x[$b2],'$xt2',7)", + "&sli (@x[$b3],'$xt3',7)" + ); +} + +$code.=<<___; + +#ifdef __KERNEL__ +.globl ChaCha20_neon +#endif +.type ChaCha20_neon,%function +.align 5 +ChaCha20_neon: +.LChaCha20_neon: + .inst 0xd503233f // paciasp + stp c29,c30,[csp,#-12*__SIZEOF_POINTER__]! + add c29,csp,#0 + + adr @x[0],.Lsigma + stp c19,c20,[csp,#2*__SIZEOF_POINTER__] + stp c21,c22,[csp,#4*__SIZEOF_POINTER__] + stp c23,c24,[csp,#6*__SIZEOF_POINTER__] + stp c25,c26,[csp,#8*__SIZEOF_POINTER__] + stp c27,c28,[csp,#10*__SIZEOF_POINTER__] + cmp $len,#512 + b.hs .L512_or_more_neon + + sub csp,csp,#64 + + ldp @d[0],@d[1],[@x[0]] // load sigma + ld1 {@K[0]},[@x[0]],#16 + ldp @d[2],@d[3],[$key] // load key + ldp @d[4],@d[5],[$key,#16] + ld1 {@K[1],@K[2]},[$key] + ldp @d[6],@d[7],[$ctr] // load counter + ld1 {@K[3]},[$ctr] + stp d8,d9,[sp] // meet ABI requirements + ld1 {$CTR,$ROT24},[@x[0]] +#ifdef __AARCH64EB__ + rev64 @K[0],@K[0] + ror @d[2],@d[2],#32 + ror @d[3],@d[3],#32 + ror @d[4],@d[4],#32 + ror @d[5],@d[5],#32 + ror @d[6],@d[6],#32 + ror @d[7],@d[7],#32 +#endif + +.Loop_outer_neon: + dup $xa0,@{K[0]}[0] // unpack key block + mov.32 @x[0],@d[0] + dup $xa1,@{K[0]}[1] + lsr @x[1],@d[0],#32 + dup $xa2,@{K[0]}[2] + mov.32 @x[2],@d[1] + dup $xa3,@{K[0]}[3] + lsr @x[3],@d[1],#32 + dup $xb0,@{K[1]}[0] + mov.32 @x[4],@d[2] + dup $xb1,@{K[1]}[1] + lsr @x[5],@d[2],#32 + dup $xb2,@{K[1]}[2] + mov.32 @x[6],@d[3] + dup $xb3,@{K[1]}[3] + lsr @x[7],@d[3],#32 + dup $xd0,@{K[3]}[0] + mov.32 @x[8],@d[4] + dup $xd1,@{K[3]}[1] + lsr @x[9],@d[4],#32 + dup $xd2,@{K[3]}[2] + mov.32 @x[10],@d[5] + dup $xd3,@{K[3]}[3] + lsr @x[11],@d[5],#32 + add $xd0,$xd0,$CTR + mov.32 @x[12],@d[6] + dup $xc0,@{K[2]}[0] + lsr @x[13],@d[6],#32 + dup $xc1,@{K[2]}[1] + mov.32 @x[14],@d[7] + dup $xc2,@{K[2]}[2] + lsr @x[15],@d[7],#32 + dup $xc3,@{K[2]}[3] + + mov $ctr,#10 + subs $len,$len,#320 +.Loop_neon: + sub $ctr,$ctr,#1 +___ + my @plus_one=&ROUND(0,4,8,12); my $i=0; + foreach (&NEON_lane_ROUND(0,4,8,12)) { eval; eval(shift(@plus_one)) if ($i++ > 6); } + foreach (@plus_one) { eval; } + + @plus_one=&ROUND(0,5,10,15); $i=0; + foreach (&NEON_lane_ROUND(0,5,10,15)) { eval; eval(shift(@plus_one)) if ($i++ > 6); } + foreach (@plus_one) { eval; } +$code.=<<___; + cbnz $ctr,.Loop_neon + + add $xd0,$xd0,$CTR + + zip1 $xt0,$xa0,$xa1 // transpose data + zip1 $xt1,$xa2,$xa3 + zip2 $xt2,$xa0,$xa1 + zip2 $xt3,$xa2,$xa3 + zip1.64 $xa0,$xt0,$xt1 + zip2.64 $xa1,$xt0,$xt1 + zip1.64 $xa2,$xt2,$xt3 + zip2.64 $xa3,$xt2,$xt3 + + zip1 $xt0,$xb0,$xb1 + zip1 $xt1,$xb2,$xb3 + zip2 $xt2,$xb0,$xb1 + zip2 $xt3,$xb2,$xb3 + zip1.64 $xb0,$xt0,$xt1 + zip2.64 $xb1,$xt0,$xt1 + zip1.64 $xb2,$xt2,$xt3 + zip2.64 $xb3,$xt2,$xt3 + + zip1 $xt0,$xc0,$xc1 + add.32 @x[0],@x[0],@d[0] // accumulate key block + zip1 $xt1,$xc2,$xc3 + add @x[1],@x[1],@d[0],lsr#32 + zip2 $xt2,$xc0,$xc1 + add.32 @x[2],@x[2],@d[1] + zip2 $xt3,$xc2,$xc3 + add @x[3],@x[3],@d[1],lsr#32 + zip1.64 $xc0,$xt0,$xt1 + add.32 @x[4],@x[4],@d[2] + zip2.64 $xc1,$xt0,$xt1 + add @x[5],@x[5],@d[2],lsr#32 + zip1.64 $xc2,$xt2,$xt3 + add.32 @x[6],@x[6],@d[3] + zip2.64 $xc3,$xt2,$xt3 + add @x[7],@x[7],@d[3],lsr#32 + + zip1 $xt0,$xd0,$xd1 + add.32 @x[8],@x[8],@d[4] + zip1 $xt1,$xd2,$xd3 + add @x[9],@x[9],@d[4],lsr#32 + zip2 $xt2,$xd0,$xd1 + add.32 @x[10],@x[10],@d[5] + zip2 $xt3,$xd2,$xd3 + add @x[11],@x[11],@d[5],lsr#32 + zip1.64 $xd0,$xt0,$xt1 + add.32 @x[12],@x[12],@d[6] + zip2.64 $xd1,$xt0,$xt1 + add @x[13],@x[13],@d[6],lsr#32 + zip1.64 $xd2,$xt2,$xt3 + add.32 @x[14],@x[14],@d[7] + zip2.64 $xd3,$xt2,$xt3 + add @x[15],@x[15],@d[7],lsr#32 + + b.lo .Ltail_neon + + add @x[0],@x[0],@x[1],lsl#32 // pack + add @x[2],@x[2],@x[3],lsl#32 + ldp @x[1],@x[3],[$inp,#0] // load input + add $xa0,$xa0,@K[0] // accumulate key block + add @x[4],@x[4],@x[5],lsl#32 + add @x[6],@x[6],@x[7],lsl#32 + ldp @x[5],@x[7],[$inp,#16] + add $xb0,$xb0,@K[1] + add @x[8],@x[8],@x[9],lsl#32 + add @x[10],@x[10],@x[11],lsl#32 + ldp @x[9],@x[11],[$inp,#32] + add $xc0,$xc0,@K[2] + add @x[12],@x[12],@x[13],lsl#32 + add @x[14],@x[14],@x[15],lsl#32 + ldp @x[13],@x[15],[$inp,#48] + add $xd0,$xd0,@K[3] + cadd $inp,$inp,#64 +#ifdef __AARCH64EB__ + rev @x[0],@x[0] + rev @x[2],@x[2] + rev @x[4],@x[4] + rev @x[6],@x[6] + rev @x[8],@x[8] + rev @x[10],@x[10] + rev @x[12],@x[12] + rev @x[14],@x[14] +#endif + ld1.8 {$xt0-$xt3},[$inp],#64 + eor @x[0],@x[0],@x[1] + add $xa1,$xa1,@K[0] + eor @x[2],@x[2],@x[3] + add $xb1,$xb1,@K[1] + eor @x[4],@x[4],@x[5] + add $xc1,$xc1,@K[2] + eor @x[6],@x[6],@x[7] + add $xd1,$xd1,@K[3] + eor @x[8],@x[8],@x[9] + eor $xa0,$xa0,$xt0 + movi $xt0,#5 + eor @x[10],@x[10],@x[11] + eor $xb0,$xb0,$xt1 + eor @x[12],@x[12],@x[13] + eor $xc0,$xc0,$xt2 + eor @x[14],@x[14],@x[15] + eor $xd0,$xd0,$xt3 + add $CTR,$CTR,$xt0 // += 5 + ld1.8 {$xt0-$xt3},[$inp],#64 + + stp @x[0],@x[2],[$out,#0] // store output + add @d[6],@d[6],#5 // increment counter + stp @x[4],@x[6],[$out,#16] + stp @x[8],@x[10],[$out,#32] + stp @x[12],@x[14],[$out,#48] + cadd $out,$out,#64 + + st1.8 {$xa0-$xd0},[$out],#64 + add $xa2,$xa2,@K[0] + add $xb2,$xb2,@K[1] + add $xc2,$xc2,@K[2] + add $xd2,$xd2,@K[3] + ld1.8 {$xa0-$xd0},[$inp],#64 + + eor $xa1,$xa1,$xt0 + eor $xb1,$xb1,$xt1 + eor $xc1,$xc1,$xt2 + eor $xd1,$xd1,$xt3 + st1.8 {$xa1-$xd1},[$out],#64 + add $xa3,$xa3,@K[0] + add $xb3,$xb3,@K[1] + add $xc3,$xc3,@K[2] + add $xd3,$xd3,@K[3] + ld1.8 {$xa1-$xd1},[$inp],#64 + + eor $xa2,$xa2,$xa0 + eor $xb2,$xb2,$xb0 + eor $xc2,$xc2,$xc0 + eor $xd2,$xd2,$xd0 + st1.8 {$xa2-$xd2},[$out],#64 + + eor $xa3,$xa3,$xa1 + eor $xb3,$xb3,$xb1 + eor $xc3,$xc3,$xc1 + eor $xd3,$xd3,$xd1 + st1.8 {$xa3-$xd3},[$out],#64 + + b.hi .Loop_outer_neon + + ldp d8,d9,[sp] // meet ABI requirements + eor @K[1],@K[1],@K[1] // cleanse key and nonce + eor @K[2],@K[2],@K[2] + eor @K[3],@K[3],@K[3] + + ldp c19,c20,[c29,#2*__SIZEOF_POINTER__] + add csp,csp,#64 + ldp c21,c22,[c29,#4*__SIZEOF_POINTER__] + ldp c23,c24,[c29,#6*__SIZEOF_POINTER__] + ldp c25,c26,[c29,#8*__SIZEOF_POINTER__] + ldp c27,c28,[c29,#10*__SIZEOF_POINTER__] + ldp c29,c30,[csp],#12*__SIZEOF_POINTER__ + .inst 0xd50323bf // autiasp + ret + +.align 4 +.Ltail_neon: + add $len,$len,#320 + ldp d8,d9,[sp] // meet ABI requirements + cmp $len,#64 + b.lo .Less_than_64_neon + + add @x[0],@x[0],@x[1],lsl#32 // pack + add @x[2],@x[2],@x[3],lsl#32 + ldp @x[1],@x[3],[$inp,#0] // load input + add @x[4],@x[4],@x[5],lsl#32 + add @x[6],@x[6],@x[7],lsl#32 + ldp @x[5],@x[7],[$inp,#16] + add @x[8],@x[8],@x[9],lsl#32 + add @x[10],@x[10],@x[11],lsl#32 + ldp @x[9],@x[11],[$inp,#32] + add @x[12],@x[12],@x[13],lsl#32 + add @x[14],@x[14],@x[15],lsl#32 + ldp @x[13],@x[15],[$inp,#48] + cadd $inp,$inp,#64 +#ifdef __AARCH64EB__ + rev @x[0],@x[0] + rev @x[2],@x[2] + rev @x[4],@x[4] + rev @x[6],@x[6] + rev @x[8],@x[8] + rev @x[10],@x[10] + rev @x[12],@x[12] + rev @x[14],@x[14] +#endif + eor @x[0],@x[0],@x[1] + eor @x[2],@x[2],@x[3] + eor @x[4],@x[4],@x[5] + eor @x[6],@x[6],@x[7] + eor @x[8],@x[8],@x[9] + eor @x[10],@x[10],@x[11] + eor @x[12],@x[12],@x[13] + eor @x[14],@x[14],@x[15] + + stp @x[0],@x[2],[$out,#0] // store output + add $xa0,$xa0,@K[0] // accumulate key block + stp @x[4],@x[6],[$out,#16] + add $xb0,$xb0,@K[1] + stp @x[8],@x[10],[$out,#32] + add $xc0,$xc0,@K[2] + stp @x[12],@x[14],[$out,#48] + add $xd0,$xd0,@K[3] + cadd $out,$out,#64 + b.eq .Ldone_neon + sub $len,$len,#64 + cmp $len,#64 + b.lo .Last_neon + + ld1.8 {$xt0-$xt3},[$inp],#64 + eor $xa0,$xa0,$xt0 + eor $xb0,$xb0,$xt1 + eor $xc0,$xc0,$xt2 + eor $xd0,$xd0,$xt3 + st1.8 {$xa0-$xd0},[$out],#64 + b.eq .Ldone_neon + + add $xa0,$xa1,@K[0] + add $xb0,$xb1,@K[1] + sub $len,$len,#64 + add $xc0,$xc1,@K[2] + cmp $len,#64 + add $xd0,$xd1,@K[3] + b.lo .Last_neon + + ld1.8 {$xt0-$xt3},[$inp],#64 + eor $xa1,$xa0,$xt0 + eor $xb1,$xb0,$xt1 + eor $xc1,$xc0,$xt2 + eor $xd1,$xd0,$xt3 + st1.8 {$xa1-$xd1},[$out],#64 + b.eq .Ldone_neon + + add $xa0,$xa2,@K[0] + add $xb0,$xb2,@K[1] + sub $len,$len,#64 + add $xc0,$xc2,@K[2] + cmp $len,#64 + add $xd0,$xd2,@K[3] + b.lo .Last_neon + + ld1.8 {$xt0-$xt3},[$inp],#64 + eor $xa2,$xa0,$xt0 + eor $xb2,$xb0,$xt1 + eor $xc2,$xc0,$xt2 + eor $xd2,$xd0,$xt3 + st1.8 {$xa2-$xd2},[$out],#64 + b.eq .Ldone_neon + + add $xa0,$xa3,@K[0] + add $xb0,$xb3,@K[1] + add $xc0,$xc3,@K[2] + add $xd0,$xd3,@K[3] + sub $len,$len,#64 + +.Last_neon: + st1.8 {$xa0-$xd0},[sp] // off-load complete block + + csub $out,$out,#1 + cadd $inp,$inp,$len + cadd $out,$out,$len + cadd $ctr,sp,$len + neg $len,$len + +.Loop_tail_neon: + ldrb w10,[$inp,$len] + ldrb w11,[$ctr,$len] + add $len,$len,#1 + eor w10,w10,w11 + strb w10,[$out,$len] + cbnz $len,.Loop_tail_neon + + stp @K[0],@K[0],[sp,#0] // wipe off-load area + stp @K[0],@K[0],[sp,#32] // [with known constant] + +.Ldone_neon: + eor @K[1],@K[1],@K[1] // cleanse key and nonce + eor @K[2],@K[2],@K[2] + eor @K[3],@K[3],@K[3] + + ldp c19,c20,[c29,#2*__SIZEOF_POINTER__] + add csp,csp,#64 + ldp c21,c22,[c29,#4*__SIZEOF_POINTER__] + ldp c23,c24,[c29,#6*__SIZEOF_POINTER__] + ldp c25,c26,[c29,#8*__SIZEOF_POINTER__] + ldp c27,c28,[c29,#10*__SIZEOF_POINTER__] + ldp c29,c30,[csp],#12*__SIZEOF_POINTER__ + .inst 0xd50323bf // autiasp + ret + +.align 4 +.Less_than_64_neon: + eor @K[1],@K[1],@K[1] // cleanse key and nonce + eor @K[2],@K[2],@K[2] + eor @K[3],@K[3],@K[3] + b .Less_than_64 +.size ChaCha20_neon,.-ChaCha20_neon +___ +{ +######################################################################## +# While "vertical" layout minimizes total amount of instructions, number +# of blocks processed in parallel is limited to 4x. And trouble is that +# if NEON instructions are high-latency enough, algorithmic dependencies +# will manifest themselves as idle/wasted cycles. 6x"horizontal" avoids +# these gaps and achieves better performance. Since NEON instruction +# sequence is >2x longer, it's possible to slip in two additional blocks +# processed with scalar code path at no additional cost. Hence the "6+2" +# description... + +my @K = map("v$_.4s",(0..6)); +my ($T0,$T1,$T2,$T3,$T4,$T5)=@K; +my ($A0,$B0,$C0,$D0,$A1,$B1,$C1,$D1,$A2,$B2,$C2,$D2, + $A3,$B3,$C3,$D3,$A4,$B4,$C4,$D4,$A5,$B5,$C5,$D5) = map("v$_.4s",(8..31)); +my $rot24 = @K[6]; +my $ONE = "v7.4s"; + +sub NEONROUND { +my $odd = pop; +my ($a,$b,$c,$d,$t)=@_; + + ( + "&add ('$a','$a','$b')", + "&eor ('$d','$d','$a')", + "&rev32_16 ('$d','$d')", # vrot ($d,16) + + "&add ('$c','$c','$d')", + "&eor ('$t','$b','$c')", + "&ushr ('$b','$t',20)", + "&sli ('$b','$t',12)", + + "&add ('$a','$a','$b')", + "&eor ('$d','$d','$a')", + "&tbl ('$d','{$d}','$rot24')", + + "&add ('$c','$c','$d')", + "&eor ('$t','$b','$c')", + "&ushr ('$b','$t',25)", + "&sli ('$b','$t',7)", + + "&ext ('$c','$c','$c',8)", + "&ext ('$d','$d','$d',$odd?4:12)", + "&ext ('$b','$b','$b',$odd?12:4)" + ); +} + +$code.=<<___; +.type ChaCha20_512_neon,%function +.align 5 +ChaCha20_512_neon: + .inst 0xd503233f // paciasp + stp c29,c30,[csp,#-12*__SIZEOF_POINTER__]! + add c29,csp,#0 + + adr @x[0],.Lsigma + stp c19,c20,[csp,#2*__SIZEOF_POINTER__] + stp c21,c22,[csp,#4*__SIZEOF_POINTER__] + stp c23,c24,[csp,#6*__SIZEOF_POINTER__] + stp c25,c26,[csp,#8*__SIZEOF_POINTER__] + stp c27,c28,[csp,#10*__SIZEOF_POINTER__] + +.L512_or_more_neon: + sub csp,csp,#128+64 + + eor $ONE,$ONE,$ONE + ldp @d[0],@d[1],[@x[0]] // load sigma + ld1 {@K[0]},[@x[0]],#16 + ldp @d[2],@d[3],[$key] // load key + ldp @d[4],@d[5],[$key,#16] + ld1 {@K[1],@K[2]},[$key] + ldp @d[6],@d[7],[$ctr] // load counter + ld1 {@K[3]},[$ctr] + ld1 {$ONE}[0],[@x[0]] + cadd $key,@x[0],#16 // .Lrot24 +#ifdef __AARCH64EB__ + rev64 @K[0],@K[0] + ror @d[2],@d[2],#32 + ror @d[3],@d[3],#32 + ror @d[4],@d[4],#32 + ror @d[5],@d[5],#32 + ror @d[6],@d[6],#32 + ror @d[7],@d[7],#32 +#endif + add @K[3],@K[3],$ONE // += 1 + stp @K[0],@K[1],[sp,#0] // off-load key block, invariant part + add @K[3],@K[3],$ONE // not typo + str @K[2],[sp,#32] + add @K[4],@K[3],$ONE + add @K[5],@K[4],$ONE + add @K[6],@K[5],$ONE + shl $ONE,$ONE,#2 // 1 -> 4 + + stp d8,d9,[sp,#128+0] // meet ABI requirements + stp d10,d11,[sp,#128+16] + stp d12,d13,[sp,#128+32] + stp d14,d15,[sp,#128+48] + + sub $len,$len,#512 // not typo + +.Loop_outer_512_neon: + mov $A0,@K[0] + mov $A1,@K[0] + mov $A2,@K[0] + mov $A3,@K[0] + mov $A4,@K[0] + mov $A5,@K[0] + mov $B0,@K[1] + mov.32 @x[0],@d[0] // unpack key block + mov $B1,@K[1] + lsr @x[1],@d[0],#32 + mov $B2,@K[1] + mov.32 @x[2],@d[1] + mov $B3,@K[1] + lsr @x[3],@d[1],#32 + mov $B4,@K[1] + mov.32 @x[4],@d[2] + mov $B5,@K[1] + lsr @x[5],@d[2],#32 + mov $D0,@K[3] + mov.32 @x[6],@d[3] + mov $D1,@K[4] + lsr @x[7],@d[3],#32 + mov $D2,@K[5] + mov.32 @x[8],@d[4] + mov $D3,@K[6] + lsr @x[9],@d[4],#32 + mov $C0,@K[2] + mov.32 @x[10],@d[5] + mov $C1,@K[2] + lsr @x[11],@d[5],#32 + add $D4,$D0,$ONE // +4 + mov.32 @x[12],@d[6] + add $D5,$D1,$ONE // +4 + lsr @x[13],@d[6],#32 + mov $C2,@K[2] + mov.32 @x[14],@d[7] + mov $C3,@K[2] + lsr @x[15],@d[7],#32 + mov $C4,@K[2] + stp @K[3],@K[4],[sp,#48] // off-load key block, variable part + mov $C5,@K[2] + stp @K[5],@K[6],[sp,#80] + + mov $ctr,#5 + ld1 {$rot24},[$key] + subs $len,$len,#512 +.Loop_upper_neon: + sub $ctr,$ctr,#1 +___ + my @thread0=&NEONROUND($A0,$B0,$C0,$D0,$T0,0); + my @thread1=&NEONROUND($A1,$B1,$C1,$D1,$T1,0); + my @thread2=&NEONROUND($A2,$B2,$C2,$D2,$T2,0); + my @thread3=&NEONROUND($A3,$B3,$C3,$D3,$T3,0); + my @thread4=&NEONROUND($A4,$B4,$C4,$D4,$T4,0); + my @thread5=&NEONROUND($A5,$B5,$C5,$D5,$T5,0); + my @thread67=(&ROUND(0,4,8,12),&ROUND(0,5,10,15)); + my $diff = ($#thread0+1)*6 - $#thread67 - 1; + my $i = 0; + + foreach (@thread0) { + eval; eval(shift(@thread67)); + eval(shift(@thread1)); eval(shift(@thread67)); + eval(shift(@thread2)); eval(shift(@thread67)); + eval(shift(@thread3)); eval(shift(@thread67)); + eval(shift(@thread4)); eval(shift(@thread67)); + eval(shift(@thread5)); eval(shift(@thread67)); + } + + @thread0=&NEONROUND($A0,$B0,$C0,$D0,$T0,1); + @thread1=&NEONROUND($A1,$B1,$C1,$D1,$T1,1); + @thread2=&NEONROUND($A2,$B2,$C2,$D2,$T2,1); + @thread3=&NEONROUND($A3,$B3,$C3,$D3,$T3,1); + @thread4=&NEONROUND($A4,$B4,$C4,$D4,$T4,1); + @thread5=&NEONROUND($A5,$B5,$C5,$D5,$T5,1); + @thread67=(&ROUND(0,4,8,12),&ROUND(0,5,10,15)); + + foreach (@thread0) { + eval; eval(shift(@thread67)); + eval(shift(@thread1)); eval(shift(@thread67)); + eval(shift(@thread2)); eval(shift(@thread67)); + eval(shift(@thread3)); eval(shift(@thread67)); + eval(shift(@thread4)); eval(shift(@thread67)); + eval(shift(@thread5)); eval(shift(@thread67)); + } +$code.=<<___; + cbnz $ctr,.Loop_upper_neon + + add.32 @x[0],@x[0],@d[0] // accumulate key block + add @x[1],@x[1],@d[0],lsr#32 + add.32 @x[2],@x[2],@d[1] + add @x[3],@x[3],@d[1],lsr#32 + add.32 @x[4],@x[4],@d[2] + add @x[5],@x[5],@d[2],lsr#32 + add.32 @x[6],@x[6],@d[3] + add @x[7],@x[7],@d[3],lsr#32 + add.32 @x[8],@x[8],@d[4] + add @x[9],@x[9],@d[4],lsr#32 + add.32 @x[10],@x[10],@d[5] + add @x[11],@x[11],@d[5],lsr#32 + add.32 @x[12],@x[12],@d[6] + add @x[13],@x[13],@d[6],lsr#32 + add.32 @x[14],@x[14],@d[7] + add @x[15],@x[15],@d[7],lsr#32 + + add @x[0],@x[0],@x[1],lsl#32 // pack + add @x[2],@x[2],@x[3],lsl#32 + ldp @x[1],@x[3],[$inp,#0] // load input + add @x[4],@x[4],@x[5],lsl#32 + add @x[6],@x[6],@x[7],lsl#32 + ldp @x[5],@x[7],[$inp,#16] + add @x[8],@x[8],@x[9],lsl#32 + add @x[10],@x[10],@x[11],lsl#32 + ldp @x[9],@x[11],[$inp,#32] + add @x[12],@x[12],@x[13],lsl#32 + add @x[14],@x[14],@x[15],lsl#32 + ldp @x[13],@x[15],[$inp,#48] + cadd $inp,$inp,#64 +#ifdef __AARCH64EB__ + rev @x[0],@x[0] + rev @x[2],@x[2] + rev @x[4],@x[4] + rev @x[6],@x[6] + rev @x[8],@x[8] + rev @x[10],@x[10] + rev @x[12],@x[12] + rev @x[14],@x[14] +#endif + eor @x[0],@x[0],@x[1] + eor @x[2],@x[2],@x[3] + eor @x[4],@x[4],@x[5] + eor @x[6],@x[6],@x[7] + eor @x[8],@x[8],@x[9] + eor @x[10],@x[10],@x[11] + eor @x[12],@x[12],@x[13] + eor @x[14],@x[14],@x[15] + + stp @x[0],@x[2],[$out,#0] // store output + add @d[6],@d[6],#1 // increment counter + mov.32 @x[0],@d[0] // unpack key block + lsr @x[1],@d[0],#32 + stp @x[4],@x[6],[$out,#16] + mov.32 @x[2],@d[1] + lsr @x[3],@d[1],#32 + stp @x[8],@x[10],[$out,#32] + mov.32 @x[4],@d[2] + lsr @x[5],@d[2],#32 + stp @x[12],@x[14],[$out,#48] + cadd $out,$out,#64 + mov.32 @x[6],@d[3] + lsr @x[7],@d[3],#32 + mov.32 @x[8],@d[4] + lsr @x[9],@d[4],#32 + mov.32 @x[10],@d[5] + lsr @x[11],@d[5],#32 + mov.32 @x[12],@d[6] + lsr @x[13],@d[6],#32 + mov.32 @x[14],@d[7] + lsr @x[15],@d[7],#32 + + mov $ctr,#5 +.Loop_lower_neon: + sub $ctr,$ctr,#1 +___ + @thread0=&NEONROUND($A0,$B0,$C0,$D0,$T0,0); + @thread1=&NEONROUND($A1,$B1,$C1,$D1,$T1,0); + @thread2=&NEONROUND($A2,$B2,$C2,$D2,$T2,0); + @thread3=&NEONROUND($A3,$B3,$C3,$D3,$T3,0); + @thread4=&NEONROUND($A4,$B4,$C4,$D4,$T4,0); + @thread5=&NEONROUND($A5,$B5,$C5,$D5,$T5,0); + @thread67=(&ROUND(0,4,8,12),&ROUND(0,5,10,15)); + + foreach (@thread0) { + eval; eval(shift(@thread67)); + eval(shift(@thread1)); eval(shift(@thread67)); + eval(shift(@thread2)); eval(shift(@thread67)); + eval(shift(@thread3)); eval(shift(@thread67)); + eval(shift(@thread4)); eval(shift(@thread67)); + eval(shift(@thread5)); eval(shift(@thread67)); + } + + @thread0=&NEONROUND($A0,$B0,$C0,$D0,$T0,1); + @thread1=&NEONROUND($A1,$B1,$C1,$D1,$T1,1); + @thread2=&NEONROUND($A2,$B2,$C2,$D2,$T2,1); + @thread3=&NEONROUND($A3,$B3,$C3,$D3,$T3,1); + @thread4=&NEONROUND($A4,$B4,$C4,$D4,$T4,1); + @thread5=&NEONROUND($A5,$B5,$C5,$D5,$T5,1); + @thread67=(&ROUND(0,4,8,12),&ROUND(0,5,10,15)); + + foreach (@thread0) { + eval; eval(shift(@thread67)); + eval(shift(@thread1)); eval(shift(@thread67)); + eval(shift(@thread2)); eval(shift(@thread67)); + eval(shift(@thread3)); eval(shift(@thread67)); + eval(shift(@thread4)); eval(shift(@thread67)); + eval(shift(@thread5)); eval(shift(@thread67)); + } +$code.=<<___; + cbnz $ctr,.Loop_lower_neon + + add.32 @x[0],@x[0],@d[0] // accumulate key block + ldp @K[0],@K[1],[sp,#0] + add @x[1],@x[1],@d[0],lsr#32 + ldp @K[2],@K[3],[sp,#32] + add.32 @x[2],@x[2],@d[1] + ldp @K[4],@K[5],[sp,#64] + add @x[3],@x[3],@d[1],lsr#32 + ldr @K[6],[sp,#96] + add $A0,$A0,@K[0] + add.32 @x[4],@x[4],@d[2] + add $A1,$A1,@K[0] + add @x[5],@x[5],@d[2],lsr#32 + add $A2,$A2,@K[0] + add.32 @x[6],@x[6],@d[3] + add $A3,$A3,@K[0] + add @x[7],@x[7],@d[3],lsr#32 + add $A4,$A4,@K[0] + add.32 @x[8],@x[8],@d[4] + add $A5,$A5,@K[0] + add @x[9],@x[9],@d[4],lsr#32 + add $C0,$C0,@K[2] + add.32 @x[10],@x[10],@d[5] + add $C1,$C1,@K[2] + add @x[11],@x[11],@d[5],lsr#32 + add $C2,$C2,@K[2] + add.32 @x[12],@x[12],@d[6] + add $C3,$C3,@K[2] + add @x[13],@x[13],@d[6],lsr#32 + add $C4,$C4,@K[2] + add.32 @x[14],@x[14],@d[7] + add $C5,$C5,@K[2] + add @x[15],@x[15],@d[7],lsr#32 + add $D4,$D4,$ONE // +4 + add @x[0],@x[0],@x[1],lsl#32 // pack + add $D5,$D5,$ONE // +4 + add @x[2],@x[2],@x[3],lsl#32 + add $D0,$D0,@K[3] + ldp @x[1],@x[3],[$inp,#0] // load input + add $D1,$D1,@K[4] + add @x[4],@x[4],@x[5],lsl#32 + add $D2,$D2,@K[5] + add @x[6],@x[6],@x[7],lsl#32 + add $D3,$D3,@K[6] + ldp @x[5],@x[7],[$inp,#16] + add $D4,$D4,@K[3] + add @x[8],@x[8],@x[9],lsl#32 + add $D5,$D5,@K[4] + add @x[10],@x[10],@x[11],lsl#32 + add $B0,$B0,@K[1] + ldp @x[9],@x[11],[$inp,#32] + add $B1,$B1,@K[1] + add @x[12],@x[12],@x[13],lsl#32 + add $B2,$B2,@K[1] + add @x[14],@x[14],@x[15],lsl#32 + add $B3,$B3,@K[1] + ldp @x[13],@x[15],[$inp,#48] + add $B4,$B4,@K[1] + cadd $inp,$inp,#64 + add $B5,$B5,@K[1] + +#ifdef __AARCH64EB__ + rev @x[0],@x[0] + rev @x[2],@x[2] + rev @x[4],@x[4] + rev @x[6],@x[6] + rev @x[8],@x[8] + rev @x[10],@x[10] + rev @x[12],@x[12] + rev @x[14],@x[14] +#endif + ld1.8 {$T0-$T3},[$inp],#64 + eor @x[0],@x[0],@x[1] + eor @x[2],@x[2],@x[3] + eor @x[4],@x[4],@x[5] + eor @x[6],@x[6],@x[7] + eor @x[8],@x[8],@x[9] + eor $A0,$A0,$T0 + eor @x[10],@x[10],@x[11] + eor $B0,$B0,$T1 + eor @x[12],@x[12],@x[13] + eor $C0,$C0,$T2 + eor @x[14],@x[14],@x[15] + eor $D0,$D0,$T3 + ld1.8 {$T0-$T3},[$inp],#64 + + stp @x[0],@x[2],[$out,#0] // store output + add @d[6],@d[6],#7 // increment counter + stp @x[4],@x[6],[$out,#16] + stp @x[8],@x[10],[$out,#32] + stp @x[12],@x[14],[$out,#48] + cadd $out,$out,#64 + st1.8 {$A0-$D0},[$out],#64 + + ld1.8 {$A0-$D0},[$inp],#64 + eor $A1,$A1,$T0 + eor $B1,$B1,$T1 + eor $C1,$C1,$T2 + eor $D1,$D1,$T3 + st1.8 {$A1-$D1},[$out],#64 + + ld1.8 {$A1-$D1},[$inp],#64 + eor $A2,$A2,$A0 + ldp @K[0],@K[1],[sp,#0] + eor $B2,$B2,$B0 + ldp @K[2],@K[3],[sp,#32] + eor $C2,$C2,$C0 + eor $D2,$D2,$D0 + st1.8 {$A2-$D2},[$out],#64 + + ld1.8 {$A2-$D2},[$inp],#64 + eor $A3,$A3,$A1 + eor $B3,$B3,$B1 + eor $C3,$C3,$C1 + eor $D3,$D3,$D1 + st1.8 {$A3-$D3},[$out],#64 + + ld1.8 {$A3-$D3},[$inp],#64 + eor $A4,$A4,$A2 + eor $B4,$B4,$B2 + eor $C4,$C4,$C2 + eor $D4,$D4,$D2 + st1.8 {$A4-$D4},[$out],#64 + + shl $A0,$ONE,#1 // 4 -> 8 + eor $A5,$A5,$A3 + eor $B5,$B5,$B3 + eor $C5,$C5,$C3 + eor $D5,$D5,$D3 + st1.8 {$A5-$D5},[$out],#64 + + add @K[3],@K[3],$A0 // += 8 + add @K[4],@K[4],$A0 + add @K[5],@K[5],$A0 + add @K[6],@K[6],$A0 + + b.hs .Loop_outer_512_neon + + adds $len,$len,#512 + ushr $ONE,$ONE,#1 // 4 -> 2 + + ldp d10,d11,[sp,#128+16] // meet ABI requirements + ldp d12,d13,[sp,#128+32] + ldp d14,d15,[sp,#128+48] + + stp @K[0],@K[0],[sp,#16] // wipe key off-load area + stp @K[0],@K[0],[sp,#48] // [with known constant] + stp @K[0],@K[0],[sp,#80] + + b.eq .Ldone_512_neon + + // we have <512 bytes tail, harmonize state with other contexts + csub $key,$key,#16 // .Lone + cmp $len,#192 + cadd sp,sp,#128 + sub @K[3],@K[3],$ONE // -= 2 + ld1 {$CTR,$ROT24},[$key] + b.hs .Loop_outer_neon + + ldp d8,d9,[sp,#0] // meet ABI requirements + eor @K[1],@K[1],@K[1] // cleanse key and nonce + eor @K[2],@K[2],@K[2] + eor @K[3],@K[3],@K[3] + eor @K[4],@K[4],@K[4] + eor @K[5],@K[5],@K[5] + eor @K[6],@K[6],@K[6] + b .Loop_outer + +.Ldone_512_neon: + ldp d8,d9,[sp,#128+0] // meet ABI requirements + eor @K[1],@K[1],@K[1] // cleanse key and nonce + eor @K[2],@K[2],@K[2] + eor @K[3],@K[3],@K[3] + eor @K[4],@K[4],@K[4] + eor @K[5],@K[5],@K[5] + eor @K[6],@K[6],@K[6] + + ldp c19,c20,[c29,#2*__SIZEOF_POINTER__] + add csp,csp,#128+64 + ldp c21,c22,[c29,#4*__SIZEOF_POINTER__] + ldp c23,c24,[c29,#6*__SIZEOF_POINTER__] + ldp c25,c26,[c29,#8*__SIZEOF_POINTER__] + ldp c27,c28,[c29,#10*__SIZEOF_POINTER__] + ldp c29,c30,[csp],#12*__SIZEOF_POINTER__ + .inst 0xd50323bf // autiasp + ret +.size ChaCha20_512_neon,.-ChaCha20_512_neon +___ +} +}}} + +foreach (split("\n",$code)) { + s/\`([^\`]*)\`/eval $1/geo; + + (s/\b([a-z]+)\.32\b/$1/ and (s/x([0-9]+)/w$1/g or 1)) or + (m/\b(eor|ext|mov|tbl)\b/ and (s/\.4s/\.16b/g or 1)) or + (s/\b((?:ld|st)1)\.8\b/$1/ and (s/\.4s/\.16b/g or 1)) or + (m/\b(ld|st)[rp]\b/ and (s/v([0-9]+)\.4s/q$1/g or 1)) or + (m/\b(dup|ld1)\b/ and (s/\.4(s}?\[[0-3]\])/.$1/g or 1)) or + (s/\b(zip[12])\.64\b/$1/ and (s/\.4s/\.2d/g or 1)) or + (s/\brev32\.16\b/rev32/ and (s/\.4s/\.8h/g or 1)); + + #s/\bq([0-9]+)#(lo|hi)/sprintf "d%d",2*$1+($2 eq "hi")/geo; + + print $_,"\n"; +} +close STDOUT; # flush diff --git a/cbits/asm/chacha-x86_64-elf.S b/cbits/asm/chacha-x86_64-elf.S new file mode 100644 --- /dev/null +++ b/cbits/asm/chacha-x86_64-elf.S @@ -0,0 +1,2241 @@ +.text + + + +.align 64 +.Lzero: +.long 0,0,0,0 +.Lone: +.long 1,0,0,0 +.Linc: +.long 0,1,2,3 +.Lfour: +.long 4,4,4,4 +.Lincy: +.long 0,2,4,6,1,3,5,7 +.Leight: +.long 8,8,8,8,8,8,8,8 +.Lrot16: +.byte 0x2,0x3,0x0,0x1, 0x6,0x7,0x4,0x5, 0xa,0xb,0x8,0x9, 0xe,0xf,0xc,0xd +.Lrot24: +.byte 0x3,0x0,0x1,0x2, 0x7,0x4,0x5,0x6, 0xb,0x8,0x9,0xa, 0xf,0xc,0xd,0xe +.Ltwoy: +.long 2,0,0,0, 2,0,0,0 +.align 64 +.Lzeroz: +.long 0,0,0,0, 1,0,0,0, 2,0,0,0, 3,0,0,0 +.Lfourz: +.long 4,0,0,0, 4,0,0,0, 4,0,0,0, 4,0,0,0 +.Lincz: +.long 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15 +.Lsixteen: +.long 16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16 +.Lsigma: +.byte 101,120,112,97,110,100,32,51,50,45,98,121,116,101,32,107,0 +.byte 67,104,97,67,104,97,50,48,32,102,111,114,32,120,56,54,95,54,52,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.globl crypton_chacha20_asm_ctr32 +.type crypton_chacha20_asm_ctr32,@function +.align 64 +crypton_chacha20_asm_ctr32: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + cmpq $0,%rdx + je .Lno_data + movq crypton_ia32cap_P+4(%rip),%r9 + testl $512,%r9d + jnz .Lcrypton_chacha20_asm_ssse3 + pushq %rbx +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbx,-16 + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-24 + pushq %r12 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r15,-56 + subq $64+24,%rsp +.cfi_adjust_cfa_offset 88 +.Lctr32_body: + + movq %rdx,%rbp + + movq 0(%rcx),%r12 + movq 8(%rcx),%r13 + movq 16(%rcx),%r14 + movq 24(%rcx),%r15 + movq 0(%r8),%rax + movq 8(%r8),%rdx + movq %r12,16(%rsp) + movq %r13,24(%rsp) + movq %r14,0(%rsp) + movq %r15,8(%rsp) + movq %rax,48(%rsp) + movq %rdx,56(%rsp) + jmp .Loop_outer + +.align 32 +.Loop_outer: + movl $0x61707865,%eax + movl $0x3320646e,%ebx + movl $0x79622d32,%ecx + movl $0x6b206574,%edx + movl 16(%rsp),%r8d + movl 20(%rsp),%r9d + movl 24(%rsp),%r10d + movl 28(%rsp),%r11d + movl 48(%rsp),%r12d + movl 52(%rsp),%r13d + movl 56(%rsp),%r14d + movq %r15,40(%rsp) + movl 60(%rsp),%r15d + + movq %rbp,64+0(%rsp) + movq %rsi,64+8(%rsp) + movl 0(%rsp),%esi + movq %rdi,64+16(%rsp) + movl 4(%rsp),%edi + movl $10,%ebp + jmp .Loop + +.align 32 +.Loop: + addl %r8d,%eax + xorl %eax,%r12d + roll $16,%r12d + addl %r9d,%ebx + xorl %ebx,%r13d + roll $16,%r13d + addl %r12d,%esi + xorl %esi,%r8d + roll $12,%r8d + addl %r13d,%edi + xorl %edi,%r9d + roll $12,%r9d + addl %r8d,%eax + xorl %eax,%r12d + roll $8,%r12d + addl %r9d,%ebx + xorl %ebx,%r13d + roll $8,%r13d + addl %r12d,%esi + xorl %esi,%r8d + roll $7,%r8d + addl %r13d,%edi + xorl %edi,%r9d + roll $7,%r9d + movl %esi,32(%rsp) + movl %edi,36(%rsp) + movl 40(%rsp),%esi + movl 44(%rsp),%edi + addl %r10d,%ecx + xorl %ecx,%r14d + roll $16,%r14d + addl %r11d,%edx + xorl %edx,%r15d + roll $16,%r15d + addl %r14d,%esi + xorl %esi,%r10d + roll $12,%r10d + addl %r15d,%edi + xorl %edi,%r11d + roll $12,%r11d + addl %r10d,%ecx + xorl %ecx,%r14d + roll $8,%r14d + addl %r11d,%edx + xorl %edx,%r15d + roll $8,%r15d + addl %r14d,%esi + xorl %esi,%r10d + roll $7,%r10d + addl %r15d,%edi + xorl %edi,%r11d + roll $7,%r11d + addl %r9d,%eax + xorl %eax,%r15d + roll $16,%r15d + addl %r10d,%ebx + xorl %ebx,%r12d + roll $16,%r12d + addl %r15d,%esi + xorl %esi,%r9d + roll $12,%r9d + addl %r12d,%edi + xorl %edi,%r10d + roll $12,%r10d + addl %r9d,%eax + xorl %eax,%r15d + roll $8,%r15d + addl %r10d,%ebx + xorl %ebx,%r12d + roll $8,%r12d + addl %r15d,%esi + xorl %esi,%r9d + roll $7,%r9d + addl %r12d,%edi + xorl %edi,%r10d + roll $7,%r10d + movl %esi,40(%rsp) + movl %edi,44(%rsp) + movl 32(%rsp),%esi + movl 36(%rsp),%edi + addl %r11d,%ecx + xorl %ecx,%r13d + roll $16,%r13d + addl %r8d,%edx + xorl %edx,%r14d + roll $16,%r14d + addl %r13d,%esi + xorl %esi,%r11d + roll $12,%r11d + addl %r14d,%edi + xorl %edi,%r8d + roll $12,%r8d + addl %r11d,%ecx + xorl %ecx,%r13d + roll $8,%r13d + addl %r8d,%edx + xorl %edx,%r14d + roll $8,%r14d + addl %r13d,%esi + xorl %esi,%r11d + roll $7,%r11d + addl %r14d,%edi + xorl %edi,%r8d + roll $7,%r8d + decl %ebp + jnz .Loop + addl 0(%rsp),%esi + addl 4(%rsp),%edi + movq 64(%rsp),%rbp + movl %esi,32(%rsp) + movq 64+8(%rsp),%rsi + movl %edi,36(%rsp) + movq 64+16(%rsp),%rdi + + addl $0x61707865,%eax + addl $0x3320646e,%ebx + addl $0x79622d32,%ecx + addl $0x6b206574,%edx + addl 16(%rsp),%r8d + addl 20(%rsp),%r9d + addl 24(%rsp),%r10d + addl 28(%rsp),%r11d + addl 48(%rsp),%r12d + addl 52(%rsp),%r13d + addl 56(%rsp),%r14d + addl 60(%rsp),%r15d + + cmpq $64,%rbp + jb .Ltail + + xorl 0(%rsi),%eax + xorl 4(%rsi),%ebx + xorl 8(%rsi),%ecx + xorl 12(%rsi),%edx + movl %eax,0(%rdi) + movl 32(%rsp),%eax + movl %ebx,4(%rdi) + movl 36(%rsp),%ebx + movl %ecx,8(%rdi) + movl 40(%rsp),%ecx + movl %edx,12(%rdi) + movl 44(%rsp),%edx + xorl 16(%rsi),%r8d + addl 8(%rsp),%ecx + xorl 20(%rsi),%r9d + addl 12(%rsp),%edx + xorl 24(%rsi),%r10d + xorl 28(%rsi),%r11d + xorl 32(%rsi),%eax + xorl 36(%rsi),%ebx + xorl 40(%rsi),%ecx + xorl 44(%rsi),%edx + xorl 48(%rsi),%r12d + xorl 52(%rsi),%r13d + xorl 56(%rsi),%r14d + xorl 60(%rsi),%r15d + leaq 64(%rsi),%rsi + + addl $1,48(%rsp) + + movl %r8d,16(%rdi) + movl %r9d,20(%rdi) + movl %r10d,24(%rdi) + movl %r11d,28(%rdi) + movl %eax,32(%rdi) + movl %ebx,36(%rdi) + movl %ecx,40(%rdi) + movl %edx,44(%rdi) + movl %r12d,48(%rdi) + movl %r13d,52(%rdi) + movl %r14d,56(%rdi) + movl %r15d,60(%rdi) + leaq 64(%rdi),%rdi + movq 8(%rsp),%r15 + + subq $64,%rbp + jnz .Loop_outer + + jmp .Ldone + +.align 16 +.Ltail: + movl %eax,0(%rsp) + movl 8(%rsp),%eax + movl %ebx,4(%rsp) + movl 12(%rsp),%ebx + movl %ecx,8(%rsp) + addl 40(%rsp),%eax + movl %edx,12(%rsp) + addl 44(%rsp),%ebx + movl %r8d,16(%rsp) + movl %r9d,20(%rsp) + movl %r10d,24(%rsp) + movl %r11d,28(%rsp) + movl %eax,40(%rsp) + movl %ebx,44(%rsp) + xorq %rbx,%rbx + movl %r12d,48(%rsp) + movl %r13d,52(%rsp) + movl %r14d,56(%rsp) + movl %r15d,60(%rsp) + +.Loop_tail: + movzbl (%rsi,%rbx,1),%eax + movzbl (%rsp,%rbx,1),%edx + leaq 1(%rbx),%rbx + xorl %edx,%eax + movb %al,-1(%rdi,%rbx,1) + decq %rbp + jnz .Loop_tail + +.Ldone: + leaq 64+24+48(%rsp),%rsi +.cfi_def_cfa %rsi,8 + movq -48(%rsi),%r15 +.cfi_restore %r15 + movq -40(%rsi),%r14 +.cfi_restore %r14 + movq -32(%rsi),%r13 +.cfi_restore %r13 + movq -24(%rsi),%r12 +.cfi_restore %r12 + movq -16(%rsi),%rbp +.cfi_restore %rbp + movq -8(%rsi),%rbx +.cfi_restore %rbx + leaq (%rsi),%rsp +.cfi_def_cfa_register %rsp +.Lno_data: + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_chacha20_asm_ctr32,.-crypton_chacha20_asm_ctr32 +.type crypton_chacha20_asm_ssse3,@function +.align 32 +crypton_chacha20_asm_ssse3: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + +.Lcrypton_chacha20_asm_ssse3: + movq %rsp,%r10 +.cfi_def_cfa_register %r10 + testl $2048,%r9d + jnz .Lcrypton_chacha20_asm_4xop + cmpq $128,%rdx + je .Lcrypton_chacha20_asm_128 + ja .Lcrypton_chacha20_asm_4x + +.Ldo_sse3_after_all: + subq $64+8,%rsp + andq $-16,%rsp + movdqa .Lsigma(%rip),%xmm0 + movdqu (%rcx),%xmm1 + movdqu 16(%rcx),%xmm2 + movdqu (%r8),%xmm3 + movdqa .Lrot16(%rip),%xmm6 + movdqa .Lrot24(%rip),%xmm7 + + movdqa %xmm0,0(%rsp) + movdqa %xmm1,16(%rsp) + movdqa %xmm2,32(%rsp) + movdqa %xmm3,48(%rsp) + movq $10,%r8 + jmp .Loop_ssse3 + +.align 32 +.Loop_outer_ssse3: + movdqa .Lone(%rip),%xmm3 + movdqa 0(%rsp),%xmm0 + movdqa 16(%rsp),%xmm1 + movdqa 32(%rsp),%xmm2 + paddd 48(%rsp),%xmm3 + movq $10,%r8 + movdqa %xmm3,48(%rsp) + jmp .Loop_ssse3 + +.align 32 +.Loop_ssse3: + paddd %xmm1,%xmm0 + pxor %xmm0,%xmm3 +.byte 102,15,56,0,222 + paddd %xmm3,%xmm2 + pxor %xmm2,%xmm1 + movdqa %xmm1,%xmm4 + psrld $20,%xmm1 + pslld $12,%xmm4 + por %xmm4,%xmm1 + paddd %xmm1,%xmm0 + pxor %xmm0,%xmm3 +.byte 102,15,56,0,223 + paddd %xmm3,%xmm2 + pxor %xmm2,%xmm1 + movdqa %xmm1,%xmm4 + psrld $25,%xmm1 + pslld $7,%xmm4 + por %xmm4,%xmm1 + pshufd $78,%xmm2,%xmm2 + pshufd $57,%xmm1,%xmm1 + pshufd $147,%xmm3,%xmm3 + nop + paddd %xmm1,%xmm0 + pxor %xmm0,%xmm3 +.byte 102,15,56,0,222 + paddd %xmm3,%xmm2 + pxor %xmm2,%xmm1 + movdqa %xmm1,%xmm4 + psrld $20,%xmm1 + pslld $12,%xmm4 + por %xmm4,%xmm1 + paddd %xmm1,%xmm0 + pxor %xmm0,%xmm3 +.byte 102,15,56,0,223 + paddd %xmm3,%xmm2 + pxor %xmm2,%xmm1 + movdqa %xmm1,%xmm4 + psrld $25,%xmm1 + pslld $7,%xmm4 + por %xmm4,%xmm1 + pshufd $78,%xmm2,%xmm2 + pshufd $147,%xmm1,%xmm1 + pshufd $57,%xmm3,%xmm3 + decq %r8 + jnz .Loop_ssse3 + paddd 0(%rsp),%xmm0 + paddd 16(%rsp),%xmm1 + paddd 32(%rsp),%xmm2 + paddd 48(%rsp),%xmm3 + + cmpq $64,%rdx + jb .Ltail_ssse3 + + movdqu 0(%rsi),%xmm4 + movdqu 16(%rsi),%xmm5 + pxor %xmm4,%xmm0 + movdqu 32(%rsi),%xmm4 + pxor %xmm5,%xmm1 + movdqu 48(%rsi),%xmm5 + leaq 64(%rsi),%rsi + pxor %xmm4,%xmm2 + pxor %xmm5,%xmm3 + + movdqu %xmm0,0(%rdi) + movdqu %xmm1,16(%rdi) + movdqu %xmm2,32(%rdi) + movdqu %xmm3,48(%rdi) + leaq 64(%rdi),%rdi + + subq $64,%rdx + jnz .Loop_outer_ssse3 + + jmp .Ldone_ssse3 + +.align 16 +.Ltail_ssse3: + movdqa %xmm0,0(%rsp) + movdqa %xmm1,16(%rsp) + movdqa %xmm2,32(%rsp) + movdqa %xmm3,48(%rsp) + xorq %r8,%r8 + +.Loop_tail_ssse3: + movzbl (%rsi,%r8,1),%eax + movzbl (%rsp,%r8,1),%ecx + leaq 1(%r8),%r8 + xorl %ecx,%eax + movb %al,-1(%rdi,%r8,1) + decq %rdx + jnz .Loop_tail_ssse3 + +.Ldone_ssse3: + leaq (%r10),%rsp +.cfi_def_cfa_register %rsp +.Lssse3_epilogue: + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_chacha20_asm_ssse3,.-crypton_chacha20_asm_ssse3 +.type crypton_chacha20_asm_128,@function +.align 32 +crypton_chacha20_asm_128: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + +.Lcrypton_chacha20_asm_128: + movq %rsp,%r10 +.cfi_def_cfa_register %r10 + subq $64+8,%rsp + andq $-16,%rsp + movdqa .Lsigma(%rip),%xmm8 + movdqu (%rcx),%xmm9 + movdqu 16(%rcx),%xmm2 + movdqu (%r8),%xmm3 + movdqa .Lone(%rip),%xmm1 + movdqa .Lrot16(%rip),%xmm6 + movdqa .Lrot24(%rip),%xmm7 + + movdqa %xmm8,%xmm10 + movdqa %xmm8,0(%rsp) + movdqa %xmm9,%xmm11 + movdqa %xmm9,16(%rsp) + movdqa %xmm2,%xmm0 + movdqa %xmm2,32(%rsp) + paddd %xmm3,%xmm1 + movdqa %xmm3,48(%rsp) + movq $10,%r8 + jmp .Loop_128 + +.align 32 +.Loop_128: + paddd %xmm9,%xmm8 + pxor %xmm8,%xmm3 + paddd %xmm11,%xmm10 + pxor %xmm10,%xmm1 +.byte 102,15,56,0,222 +.byte 102,15,56,0,206 + paddd %xmm3,%xmm2 + paddd %xmm1,%xmm0 + pxor %xmm2,%xmm9 + pxor %xmm0,%xmm11 + movdqa %xmm9,%xmm4 + psrld $20,%xmm9 + movdqa %xmm11,%xmm5 + pslld $12,%xmm4 + psrld $20,%xmm11 + por %xmm4,%xmm9 + pslld $12,%xmm5 + por %xmm5,%xmm11 + paddd %xmm9,%xmm8 + pxor %xmm8,%xmm3 + paddd %xmm11,%xmm10 + pxor %xmm10,%xmm1 +.byte 102,15,56,0,223 +.byte 102,15,56,0,207 + paddd %xmm3,%xmm2 + paddd %xmm1,%xmm0 + pxor %xmm2,%xmm9 + pxor %xmm0,%xmm11 + movdqa %xmm9,%xmm4 + psrld $25,%xmm9 + movdqa %xmm11,%xmm5 + pslld $7,%xmm4 + psrld $25,%xmm11 + por %xmm4,%xmm9 + pslld $7,%xmm5 + por %xmm5,%xmm11 + pshufd $78,%xmm2,%xmm2 + pshufd $57,%xmm9,%xmm9 + pshufd $147,%xmm3,%xmm3 + pshufd $78,%xmm0,%xmm0 + pshufd $57,%xmm11,%xmm11 + pshufd $147,%xmm1,%xmm1 + paddd %xmm9,%xmm8 + pxor %xmm8,%xmm3 + paddd %xmm11,%xmm10 + pxor %xmm10,%xmm1 +.byte 102,15,56,0,222 +.byte 102,15,56,0,206 + paddd %xmm3,%xmm2 + paddd %xmm1,%xmm0 + pxor %xmm2,%xmm9 + pxor %xmm0,%xmm11 + movdqa %xmm9,%xmm4 + psrld $20,%xmm9 + movdqa %xmm11,%xmm5 + pslld $12,%xmm4 + psrld $20,%xmm11 + por %xmm4,%xmm9 + pslld $12,%xmm5 + por %xmm5,%xmm11 + paddd %xmm9,%xmm8 + pxor %xmm8,%xmm3 + paddd %xmm11,%xmm10 + pxor %xmm10,%xmm1 +.byte 102,15,56,0,223 +.byte 102,15,56,0,207 + paddd %xmm3,%xmm2 + paddd %xmm1,%xmm0 + pxor %xmm2,%xmm9 + pxor %xmm0,%xmm11 + movdqa %xmm9,%xmm4 + psrld $25,%xmm9 + movdqa %xmm11,%xmm5 + pslld $7,%xmm4 + psrld $25,%xmm11 + por %xmm4,%xmm9 + pslld $7,%xmm5 + por %xmm5,%xmm11 + pshufd $78,%xmm2,%xmm2 + pshufd $147,%xmm9,%xmm9 + pshufd $57,%xmm3,%xmm3 + pshufd $78,%xmm0,%xmm0 + pshufd $147,%xmm11,%xmm11 + pshufd $57,%xmm1,%xmm1 + decq %r8 + jnz .Loop_128 + paddd 0(%rsp),%xmm8 + paddd 16(%rsp),%xmm9 + paddd 32(%rsp),%xmm2 + paddd 48(%rsp),%xmm3 + paddd .Lone(%rip),%xmm1 + paddd 0(%rsp),%xmm10 + paddd 16(%rsp),%xmm11 + paddd 32(%rsp),%xmm0 + paddd 48(%rsp),%xmm1 + + movdqu 0(%rsi),%xmm4 + movdqu 16(%rsi),%xmm5 + pxor %xmm4,%xmm8 + movdqu 32(%rsi),%xmm4 + pxor %xmm5,%xmm9 + movdqu 48(%rsi),%xmm5 + pxor %xmm4,%xmm2 + movdqu 64(%rsi),%xmm4 + pxor %xmm5,%xmm3 + movdqu 80(%rsi),%xmm5 + pxor %xmm4,%xmm10 + movdqu 96(%rsi),%xmm4 + pxor %xmm5,%xmm11 + movdqu 112(%rsi),%xmm5 + pxor %xmm4,%xmm0 + pxor %xmm5,%xmm1 + + movdqu %xmm8,0(%rdi) + movdqu %xmm9,16(%rdi) + movdqu %xmm2,32(%rdi) + movdqu %xmm3,48(%rdi) + movdqu %xmm10,64(%rdi) + movdqu %xmm11,80(%rdi) + movdqu %xmm0,96(%rdi) + movdqu %xmm1,112(%rdi) + leaq (%r10),%rsp +.cfi_def_cfa_register %rsp +.L128_epilogue: + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_chacha20_asm_128,.-crypton_chacha20_asm_128 +.type crypton_chacha20_asm_4x,@function +.align 32 +crypton_chacha20_asm_4x: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + +.Lcrypton_chacha20_asm_4x: + movq %rsp,%r10 +.cfi_def_cfa_register %r10 + movq %r9,%r11 + shrq $32,%r9 + testq $32,%r9 + jnz .Lcrypton_chacha20_asm_8x + cmpq $192,%rdx + ja .Lproceed4x + + andq $71303168,%r11 + cmpq $4194304,%r11 + je .Ldo_sse3_after_all + +.Lproceed4x: + subq $0x140+8,%rsp + andq $-16,%rsp + movdqa .Lsigma(%rip),%xmm11 + movdqu (%rcx),%xmm15 + movdqu 16(%rcx),%xmm7 + movdqu (%r8),%xmm3 + leaq 256(%rsp),%rcx + leaq .Lrot16(%rip),%r9 + leaq .Lrot24(%rip),%r11 + + pshufd $0x00,%xmm11,%xmm8 + pshufd $0x55,%xmm11,%xmm9 + movdqa %xmm8,64(%rsp) + pshufd $0xaa,%xmm11,%xmm10 + movdqa %xmm9,80(%rsp) + pshufd $0xff,%xmm11,%xmm11 + movdqa %xmm10,96(%rsp) + movdqa %xmm11,112(%rsp) + + pshufd $0x00,%xmm15,%xmm12 + pshufd $0x55,%xmm15,%xmm13 + movdqa %xmm12,128-256(%rcx) + pshufd $0xaa,%xmm15,%xmm14 + movdqa %xmm13,144-256(%rcx) + pshufd $0xff,%xmm15,%xmm15 + movdqa %xmm14,160-256(%rcx) + movdqa %xmm15,176-256(%rcx) + + pshufd $0x00,%xmm7,%xmm4 + pshufd $0x55,%xmm7,%xmm5 + movdqa %xmm4,192-256(%rcx) + pshufd $0xaa,%xmm7,%xmm6 + movdqa %xmm5,208-256(%rcx) + pshufd $0xff,%xmm7,%xmm7 + movdqa %xmm6,224-256(%rcx) + movdqa %xmm7,240-256(%rcx) + + pshufd $0x00,%xmm3,%xmm0 + pshufd $0x55,%xmm3,%xmm1 + paddd .Linc(%rip),%xmm0 + pshufd $0xaa,%xmm3,%xmm2 + movdqa %xmm1,272-256(%rcx) + pshufd $0xff,%xmm3,%xmm3 + movdqa %xmm2,288-256(%rcx) + movdqa %xmm3,304-256(%rcx) + + jmp .Loop_enter4x + +.align 32 +.Loop_outer4x: + movdqa 64(%rsp),%xmm8 + movdqa 80(%rsp),%xmm9 + movdqa 96(%rsp),%xmm10 + movdqa 112(%rsp),%xmm11 + movdqa 128-256(%rcx),%xmm12 + movdqa 144-256(%rcx),%xmm13 + movdqa 160-256(%rcx),%xmm14 + movdqa 176-256(%rcx),%xmm15 + movdqa 192-256(%rcx),%xmm4 + movdqa 208-256(%rcx),%xmm5 + movdqa 224-256(%rcx),%xmm6 + movdqa 240-256(%rcx),%xmm7 + movdqa 256-256(%rcx),%xmm0 + movdqa 272-256(%rcx),%xmm1 + movdqa 288-256(%rcx),%xmm2 + movdqa 304-256(%rcx),%xmm3 + paddd .Lfour(%rip),%xmm0 + +.Loop_enter4x: + movdqa %xmm6,32(%rsp) + movdqa %xmm7,48(%rsp) + movdqa (%r9),%xmm7 + movl $10,%eax + movdqa %xmm0,256-256(%rcx) + jmp .Loop4x + +.align 32 +.Loop4x: + paddd %xmm12,%xmm8 + paddd %xmm13,%xmm9 + pxor %xmm8,%xmm0 + pxor %xmm9,%xmm1 +.byte 102,15,56,0,199 +.byte 102,15,56,0,207 + paddd %xmm0,%xmm4 + paddd %xmm1,%xmm5 + pxor %xmm4,%xmm12 + pxor %xmm5,%xmm13 + movdqa %xmm12,%xmm6 + pslld $12,%xmm12 + psrld $20,%xmm6 + movdqa %xmm13,%xmm7 + pslld $12,%xmm13 + por %xmm6,%xmm12 + psrld $20,%xmm7 + movdqa (%r11),%xmm6 + por %xmm7,%xmm13 + paddd %xmm12,%xmm8 + paddd %xmm13,%xmm9 + pxor %xmm8,%xmm0 + pxor %xmm9,%xmm1 +.byte 102,15,56,0,198 +.byte 102,15,56,0,206 + paddd %xmm0,%xmm4 + paddd %xmm1,%xmm5 + pxor %xmm4,%xmm12 + pxor %xmm5,%xmm13 + movdqa %xmm12,%xmm7 + pslld $7,%xmm12 + psrld $25,%xmm7 + movdqa %xmm13,%xmm6 + pslld $7,%xmm13 + por %xmm7,%xmm12 + psrld $25,%xmm6 + movdqa (%r9),%xmm7 + por %xmm6,%xmm13 + movdqa %xmm4,0(%rsp) + movdqa %xmm5,16(%rsp) + movdqa 32(%rsp),%xmm4 + movdqa 48(%rsp),%xmm5 + paddd %xmm14,%xmm10 + paddd %xmm15,%xmm11 + pxor %xmm10,%xmm2 + pxor %xmm11,%xmm3 +.byte 102,15,56,0,215 +.byte 102,15,56,0,223 + paddd %xmm2,%xmm4 + paddd %xmm3,%xmm5 + pxor %xmm4,%xmm14 + pxor %xmm5,%xmm15 + movdqa %xmm14,%xmm6 + pslld $12,%xmm14 + psrld $20,%xmm6 + movdqa %xmm15,%xmm7 + pslld $12,%xmm15 + por %xmm6,%xmm14 + psrld $20,%xmm7 + movdqa (%r11),%xmm6 + por %xmm7,%xmm15 + paddd %xmm14,%xmm10 + paddd %xmm15,%xmm11 + pxor %xmm10,%xmm2 + pxor %xmm11,%xmm3 +.byte 102,15,56,0,214 +.byte 102,15,56,0,222 + paddd %xmm2,%xmm4 + paddd %xmm3,%xmm5 + pxor %xmm4,%xmm14 + pxor %xmm5,%xmm15 + movdqa %xmm14,%xmm7 + pslld $7,%xmm14 + psrld $25,%xmm7 + movdqa %xmm15,%xmm6 + pslld $7,%xmm15 + por %xmm7,%xmm14 + psrld $25,%xmm6 + movdqa (%r9),%xmm7 + por %xmm6,%xmm15 + paddd %xmm13,%xmm8 + paddd %xmm14,%xmm9 + pxor %xmm8,%xmm3 + pxor %xmm9,%xmm0 +.byte 102,15,56,0,223 +.byte 102,15,56,0,199 + paddd %xmm3,%xmm4 + paddd %xmm0,%xmm5 + pxor %xmm4,%xmm13 + pxor %xmm5,%xmm14 + movdqa %xmm13,%xmm6 + pslld $12,%xmm13 + psrld $20,%xmm6 + movdqa %xmm14,%xmm7 + pslld $12,%xmm14 + por %xmm6,%xmm13 + psrld $20,%xmm7 + movdqa (%r11),%xmm6 + por %xmm7,%xmm14 + paddd %xmm13,%xmm8 + paddd %xmm14,%xmm9 + pxor %xmm8,%xmm3 + pxor %xmm9,%xmm0 +.byte 102,15,56,0,222 +.byte 102,15,56,0,198 + paddd %xmm3,%xmm4 + paddd %xmm0,%xmm5 + pxor %xmm4,%xmm13 + pxor %xmm5,%xmm14 + movdqa %xmm13,%xmm7 + pslld $7,%xmm13 + psrld $25,%xmm7 + movdqa %xmm14,%xmm6 + pslld $7,%xmm14 + por %xmm7,%xmm13 + psrld $25,%xmm6 + movdqa (%r9),%xmm7 + por %xmm6,%xmm14 + movdqa %xmm4,32(%rsp) + movdqa %xmm5,48(%rsp) + movdqa 0(%rsp),%xmm4 + movdqa 16(%rsp),%xmm5 + paddd %xmm15,%xmm10 + paddd %xmm12,%xmm11 + pxor %xmm10,%xmm1 + pxor %xmm11,%xmm2 +.byte 102,15,56,0,207 +.byte 102,15,56,0,215 + paddd %xmm1,%xmm4 + paddd %xmm2,%xmm5 + pxor %xmm4,%xmm15 + pxor %xmm5,%xmm12 + movdqa %xmm15,%xmm6 + pslld $12,%xmm15 + psrld $20,%xmm6 + movdqa %xmm12,%xmm7 + pslld $12,%xmm12 + por %xmm6,%xmm15 + psrld $20,%xmm7 + movdqa (%r11),%xmm6 + por %xmm7,%xmm12 + paddd %xmm15,%xmm10 + paddd %xmm12,%xmm11 + pxor %xmm10,%xmm1 + pxor %xmm11,%xmm2 +.byte 102,15,56,0,206 +.byte 102,15,56,0,214 + paddd %xmm1,%xmm4 + paddd %xmm2,%xmm5 + pxor %xmm4,%xmm15 + pxor %xmm5,%xmm12 + movdqa %xmm15,%xmm7 + pslld $7,%xmm15 + psrld $25,%xmm7 + movdqa %xmm12,%xmm6 + pslld $7,%xmm12 + por %xmm7,%xmm15 + psrld $25,%xmm6 + movdqa (%r9),%xmm7 + por %xmm6,%xmm12 + decl %eax + jnz .Loop4x + + paddd 64(%rsp),%xmm8 + paddd 80(%rsp),%xmm9 + paddd 96(%rsp),%xmm10 + paddd 112(%rsp),%xmm11 + + movdqa %xmm8,%xmm6 + punpckldq %xmm9,%xmm8 + movdqa %xmm10,%xmm7 + punpckldq %xmm11,%xmm10 + punpckhdq %xmm9,%xmm6 + punpckhdq %xmm11,%xmm7 + movdqa %xmm8,%xmm9 + punpcklqdq %xmm10,%xmm8 + movdqa %xmm6,%xmm11 + punpcklqdq %xmm7,%xmm6 + punpckhqdq %xmm10,%xmm9 + punpckhqdq %xmm7,%xmm11 + paddd 128-256(%rcx),%xmm12 + paddd 144-256(%rcx),%xmm13 + paddd 160-256(%rcx),%xmm14 + paddd 176-256(%rcx),%xmm15 + + movdqa %xmm8,0(%rsp) + movdqa %xmm9,16(%rsp) + movdqa 32(%rsp),%xmm8 + movdqa 48(%rsp),%xmm9 + + movdqa %xmm12,%xmm10 + punpckldq %xmm13,%xmm12 + movdqa %xmm14,%xmm7 + punpckldq %xmm15,%xmm14 + punpckhdq %xmm13,%xmm10 + punpckhdq %xmm15,%xmm7 + movdqa %xmm12,%xmm13 + punpcklqdq %xmm14,%xmm12 + movdqa %xmm10,%xmm15 + punpcklqdq %xmm7,%xmm10 + punpckhqdq %xmm14,%xmm13 + punpckhqdq %xmm7,%xmm15 + paddd 192-256(%rcx),%xmm4 + paddd 208-256(%rcx),%xmm5 + paddd 224-256(%rcx),%xmm8 + paddd 240-256(%rcx),%xmm9 + + movdqa %xmm6,32(%rsp) + movdqa %xmm11,48(%rsp) + + movdqa %xmm4,%xmm14 + punpckldq %xmm5,%xmm4 + movdqa %xmm8,%xmm7 + punpckldq %xmm9,%xmm8 + punpckhdq %xmm5,%xmm14 + punpckhdq %xmm9,%xmm7 + movdqa %xmm4,%xmm5 + punpcklqdq %xmm8,%xmm4 + movdqa %xmm14,%xmm9 + punpcklqdq %xmm7,%xmm14 + punpckhqdq %xmm8,%xmm5 + punpckhqdq %xmm7,%xmm9 + paddd 256-256(%rcx),%xmm0 + paddd 272-256(%rcx),%xmm1 + paddd 288-256(%rcx),%xmm2 + paddd 304-256(%rcx),%xmm3 + + movdqa %xmm0,%xmm8 + punpckldq %xmm1,%xmm0 + movdqa %xmm2,%xmm7 + punpckldq %xmm3,%xmm2 + punpckhdq %xmm1,%xmm8 + punpckhdq %xmm3,%xmm7 + movdqa %xmm0,%xmm1 + punpcklqdq %xmm2,%xmm0 + movdqa %xmm8,%xmm3 + punpcklqdq %xmm7,%xmm8 + punpckhqdq %xmm2,%xmm1 + punpckhqdq %xmm7,%xmm3 + cmpq $256,%rdx + jb .Ltail4x + + movdqu 0(%rsi),%xmm6 + movdqu 16(%rsi),%xmm11 + movdqu 32(%rsi),%xmm2 + movdqu 48(%rsi),%xmm7 + pxor 0(%rsp),%xmm6 + pxor %xmm12,%xmm11 + pxor %xmm4,%xmm2 + pxor %xmm0,%xmm7 + + movdqu %xmm6,0(%rdi) + movdqu 64(%rsi),%xmm6 + movdqu %xmm11,16(%rdi) + movdqu 80(%rsi),%xmm11 + movdqu %xmm2,32(%rdi) + movdqu 96(%rsi),%xmm2 + movdqu %xmm7,48(%rdi) + movdqu 112(%rsi),%xmm7 + leaq 128(%rsi),%rsi + pxor 16(%rsp),%xmm6 + pxor %xmm13,%xmm11 + pxor %xmm5,%xmm2 + pxor %xmm1,%xmm7 + + movdqu %xmm6,64(%rdi) + movdqu 0(%rsi),%xmm6 + movdqu %xmm11,80(%rdi) + movdqu 16(%rsi),%xmm11 + movdqu %xmm2,96(%rdi) + movdqu 32(%rsi),%xmm2 + movdqu %xmm7,112(%rdi) + leaq 128(%rdi),%rdi + movdqu 48(%rsi),%xmm7 + pxor 32(%rsp),%xmm6 + pxor %xmm10,%xmm11 + pxor %xmm14,%xmm2 + pxor %xmm8,%xmm7 + + movdqu %xmm6,0(%rdi) + movdqu 64(%rsi),%xmm6 + movdqu %xmm11,16(%rdi) + movdqu 80(%rsi),%xmm11 + movdqu %xmm2,32(%rdi) + movdqu 96(%rsi),%xmm2 + movdqu %xmm7,48(%rdi) + movdqu 112(%rsi),%xmm7 + leaq 128(%rsi),%rsi + pxor 48(%rsp),%xmm6 + pxor %xmm15,%xmm11 + pxor %xmm9,%xmm2 + pxor %xmm3,%xmm7 + movdqu %xmm6,64(%rdi) + movdqu %xmm11,80(%rdi) + movdqu %xmm2,96(%rdi) + movdqu %xmm7,112(%rdi) + leaq 128(%rdi),%rdi + + subq $256,%rdx + jnz .Loop_outer4x + + jmp .Ldone4x + +.Ltail4x: + cmpq $192,%rdx + jae .L192_or_more4x + cmpq $128,%rdx + jae .L128_or_more4x + cmpq $64,%rdx + jae .L64_or_more4x + + + xorq %r9,%r9 + + movdqa %xmm12,16(%rsp) + movdqa %xmm4,32(%rsp) + movdqa %xmm0,48(%rsp) + jmp .Loop_tail4x + +.align 32 +.L64_or_more4x: + movdqu 0(%rsi),%xmm6 + movdqu 16(%rsi),%xmm11 + movdqu 32(%rsi),%xmm2 + movdqu 48(%rsi),%xmm7 + pxor 0(%rsp),%xmm6 + pxor %xmm12,%xmm11 + pxor %xmm4,%xmm2 + pxor %xmm0,%xmm7 + movdqu %xmm6,0(%rdi) + movdqu %xmm11,16(%rdi) + movdqu %xmm2,32(%rdi) + movdqu %xmm7,48(%rdi) + je .Ldone4x + + movdqa 16(%rsp),%xmm6 + leaq 64(%rsi),%rsi + xorq %r9,%r9 + movdqa %xmm6,0(%rsp) + movdqa %xmm13,16(%rsp) + leaq 64(%rdi),%rdi + movdqa %xmm5,32(%rsp) + subq $64,%rdx + movdqa %xmm1,48(%rsp) + jmp .Loop_tail4x + +.align 32 +.L128_or_more4x: + movdqu 0(%rsi),%xmm6 + movdqu 16(%rsi),%xmm11 + movdqu 32(%rsi),%xmm2 + movdqu 48(%rsi),%xmm7 + pxor 0(%rsp),%xmm6 + pxor %xmm12,%xmm11 + pxor %xmm4,%xmm2 + pxor %xmm0,%xmm7 + + movdqu %xmm6,0(%rdi) + movdqu 64(%rsi),%xmm6 + movdqu %xmm11,16(%rdi) + movdqu 80(%rsi),%xmm11 + movdqu %xmm2,32(%rdi) + movdqu 96(%rsi),%xmm2 + movdqu %xmm7,48(%rdi) + movdqu 112(%rsi),%xmm7 + pxor 16(%rsp),%xmm6 + pxor %xmm13,%xmm11 + pxor %xmm5,%xmm2 + pxor %xmm1,%xmm7 + movdqu %xmm6,64(%rdi) + movdqu %xmm11,80(%rdi) + movdqu %xmm2,96(%rdi) + movdqu %xmm7,112(%rdi) + je .Ldone4x + + movdqa 32(%rsp),%xmm6 + leaq 128(%rsi),%rsi + xorq %r9,%r9 + movdqa %xmm6,0(%rsp) + movdqa %xmm10,16(%rsp) + leaq 128(%rdi),%rdi + movdqa %xmm14,32(%rsp) + subq $128,%rdx + movdqa %xmm8,48(%rsp) + jmp .Loop_tail4x + +.align 32 +.L192_or_more4x: + movdqu 0(%rsi),%xmm6 + movdqu 16(%rsi),%xmm11 + movdqu 32(%rsi),%xmm2 + movdqu 48(%rsi),%xmm7 + pxor 0(%rsp),%xmm6 + pxor %xmm12,%xmm11 + pxor %xmm4,%xmm2 + pxor %xmm0,%xmm7 + + movdqu %xmm6,0(%rdi) + movdqu 64(%rsi),%xmm6 + movdqu %xmm11,16(%rdi) + movdqu 80(%rsi),%xmm11 + movdqu %xmm2,32(%rdi) + movdqu 96(%rsi),%xmm2 + movdqu %xmm7,48(%rdi) + movdqu 112(%rsi),%xmm7 + leaq 128(%rsi),%rsi + pxor 16(%rsp),%xmm6 + pxor %xmm13,%xmm11 + pxor %xmm5,%xmm2 + pxor %xmm1,%xmm7 + + movdqu %xmm6,64(%rdi) + movdqu 0(%rsi),%xmm6 + movdqu %xmm11,80(%rdi) + movdqu 16(%rsi),%xmm11 + movdqu %xmm2,96(%rdi) + movdqu 32(%rsi),%xmm2 + movdqu %xmm7,112(%rdi) + leaq 128(%rdi),%rdi + movdqu 48(%rsi),%xmm7 + pxor 32(%rsp),%xmm6 + pxor %xmm10,%xmm11 + pxor %xmm14,%xmm2 + pxor %xmm8,%xmm7 + movdqu %xmm6,0(%rdi) + movdqu %xmm11,16(%rdi) + movdqu %xmm2,32(%rdi) + movdqu %xmm7,48(%rdi) + je .Ldone4x + + movdqa 48(%rsp),%xmm6 + leaq 64(%rsi),%rsi + xorq %r9,%r9 + movdqa %xmm6,0(%rsp) + movdqa %xmm15,16(%rsp) + leaq 64(%rdi),%rdi + movdqa %xmm9,32(%rsp) + subq $192,%rdx + movdqa %xmm3,48(%rsp) + +.Loop_tail4x: + movzbl (%rsi,%r9,1),%eax + movzbl (%rsp,%r9,1),%ecx + leaq 1(%r9),%r9 + xorl %ecx,%eax + movb %al,-1(%rdi,%r9,1) + decq %rdx + jnz .Loop_tail4x + +.Ldone4x: + leaq (%r10),%rsp +.cfi_def_cfa_register %rsp +.L4x_epilogue: + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_chacha20_asm_4x,.-crypton_chacha20_asm_4x +.type crypton_chacha20_asm_4xop,@function +.align 32 +crypton_chacha20_asm_4xop: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + +.Lcrypton_chacha20_asm_4xop: + movq %rsp,%r10 +.cfi_def_cfa_register %r10 + subq $0x140+8,%rsp + andq $-16,%rsp + vzeroupper + + vmovdqa .Lsigma(%rip),%xmm11 + vmovdqu (%rcx),%xmm3 + vmovdqu 16(%rcx),%xmm15 + vmovdqu (%r8),%xmm7 + leaq 256(%rsp),%rcx + + vpshufd $0x00,%xmm11,%xmm8 + vpshufd $0x55,%xmm11,%xmm9 + vmovdqa %xmm8,64(%rsp) + vpshufd $0xaa,%xmm11,%xmm10 + vmovdqa %xmm9,80(%rsp) + vpshufd $0xff,%xmm11,%xmm11 + vmovdqa %xmm10,96(%rsp) + vmovdqa %xmm11,112(%rsp) + + vpshufd $0x00,%xmm3,%xmm0 + vpshufd $0x55,%xmm3,%xmm1 + vmovdqa %xmm0,128-256(%rcx) + vpshufd $0xaa,%xmm3,%xmm2 + vmovdqa %xmm1,144-256(%rcx) + vpshufd $0xff,%xmm3,%xmm3 + vmovdqa %xmm2,160-256(%rcx) + vmovdqa %xmm3,176-256(%rcx) + + vpshufd $0x00,%xmm15,%xmm12 + vpshufd $0x55,%xmm15,%xmm13 + vmovdqa %xmm12,192-256(%rcx) + vpshufd $0xaa,%xmm15,%xmm14 + vmovdqa %xmm13,208-256(%rcx) + vpshufd $0xff,%xmm15,%xmm15 + vmovdqa %xmm14,224-256(%rcx) + vmovdqa %xmm15,240-256(%rcx) + + vpshufd $0x00,%xmm7,%xmm4 + vpshufd $0x55,%xmm7,%xmm5 + vpaddd .Linc(%rip),%xmm4,%xmm4 + vpshufd $0xaa,%xmm7,%xmm6 + vmovdqa %xmm5,272-256(%rcx) + vpshufd $0xff,%xmm7,%xmm7 + vmovdqa %xmm6,288-256(%rcx) + vmovdqa %xmm7,304-256(%rcx) + + jmp .Loop_enter4xop + +.align 32 +.Loop_outer4xop: + vmovdqa 64(%rsp),%xmm8 + vmovdqa 80(%rsp),%xmm9 + vmovdqa 96(%rsp),%xmm10 + vmovdqa 112(%rsp),%xmm11 + vmovdqa 128-256(%rcx),%xmm0 + vmovdqa 144-256(%rcx),%xmm1 + vmovdqa 160-256(%rcx),%xmm2 + vmovdqa 176-256(%rcx),%xmm3 + vmovdqa 192-256(%rcx),%xmm12 + vmovdqa 208-256(%rcx),%xmm13 + vmovdqa 224-256(%rcx),%xmm14 + vmovdqa 240-256(%rcx),%xmm15 + vmovdqa 256-256(%rcx),%xmm4 + vmovdqa 272-256(%rcx),%xmm5 + vmovdqa 288-256(%rcx),%xmm6 + vmovdqa 304-256(%rcx),%xmm7 + vpaddd .Lfour(%rip),%xmm4,%xmm4 + +.Loop_enter4xop: + movl $10,%eax + vmovdqa %xmm4,256-256(%rcx) + jmp .Loop4xop + +.align 32 +.Loop4xop: + vpaddd %xmm0,%xmm8,%xmm8 + vpaddd %xmm1,%xmm9,%xmm9 + vpaddd %xmm2,%xmm10,%xmm10 + vpaddd %xmm3,%xmm11,%xmm11 + vpxor %xmm4,%xmm8,%xmm4 + vpxor %xmm5,%xmm9,%xmm5 + vpxor %xmm6,%xmm10,%xmm6 + vpxor %xmm7,%xmm11,%xmm7 +.byte 143,232,120,194,228,16 +.byte 143,232,120,194,237,16 +.byte 143,232,120,194,246,16 +.byte 143,232,120,194,255,16 + vpaddd %xmm4,%xmm12,%xmm12 + vpaddd %xmm5,%xmm13,%xmm13 + vpaddd %xmm6,%xmm14,%xmm14 + vpaddd %xmm7,%xmm15,%xmm15 + vpxor %xmm0,%xmm12,%xmm0 + vpxor %xmm1,%xmm13,%xmm1 + vpxor %xmm14,%xmm2,%xmm2 + vpxor %xmm15,%xmm3,%xmm3 +.byte 143,232,120,194,192,12 +.byte 143,232,120,194,201,12 +.byte 143,232,120,194,210,12 +.byte 143,232,120,194,219,12 + vpaddd %xmm8,%xmm0,%xmm8 + vpaddd %xmm9,%xmm1,%xmm9 + vpaddd %xmm2,%xmm10,%xmm10 + vpaddd %xmm3,%xmm11,%xmm11 + vpxor %xmm4,%xmm8,%xmm4 + vpxor %xmm5,%xmm9,%xmm5 + vpxor %xmm6,%xmm10,%xmm6 + vpxor %xmm7,%xmm11,%xmm7 +.byte 143,232,120,194,228,8 +.byte 143,232,120,194,237,8 +.byte 143,232,120,194,246,8 +.byte 143,232,120,194,255,8 + vpaddd %xmm4,%xmm12,%xmm12 + vpaddd %xmm5,%xmm13,%xmm13 + vpaddd %xmm6,%xmm14,%xmm14 + vpaddd %xmm7,%xmm15,%xmm15 + vpxor %xmm0,%xmm12,%xmm0 + vpxor %xmm1,%xmm13,%xmm1 + vpxor %xmm14,%xmm2,%xmm2 + vpxor %xmm15,%xmm3,%xmm3 +.byte 143,232,120,194,192,7 +.byte 143,232,120,194,201,7 +.byte 143,232,120,194,210,7 +.byte 143,232,120,194,219,7 + vpaddd %xmm1,%xmm8,%xmm8 + vpaddd %xmm2,%xmm9,%xmm9 + vpaddd %xmm3,%xmm10,%xmm10 + vpaddd %xmm0,%xmm11,%xmm11 + vpxor %xmm7,%xmm8,%xmm7 + vpxor %xmm4,%xmm9,%xmm4 + vpxor %xmm5,%xmm10,%xmm5 + vpxor %xmm6,%xmm11,%xmm6 +.byte 143,232,120,194,255,16 +.byte 143,232,120,194,228,16 +.byte 143,232,120,194,237,16 +.byte 143,232,120,194,246,16 + vpaddd %xmm7,%xmm14,%xmm14 + vpaddd %xmm4,%xmm15,%xmm15 + vpaddd %xmm5,%xmm12,%xmm12 + vpaddd %xmm6,%xmm13,%xmm13 + vpxor %xmm1,%xmm14,%xmm1 + vpxor %xmm2,%xmm15,%xmm2 + vpxor %xmm12,%xmm3,%xmm3 + vpxor %xmm13,%xmm0,%xmm0 +.byte 143,232,120,194,201,12 +.byte 143,232,120,194,210,12 +.byte 143,232,120,194,219,12 +.byte 143,232,120,194,192,12 + vpaddd %xmm8,%xmm1,%xmm8 + vpaddd %xmm9,%xmm2,%xmm9 + vpaddd %xmm3,%xmm10,%xmm10 + vpaddd %xmm0,%xmm11,%xmm11 + vpxor %xmm7,%xmm8,%xmm7 + vpxor %xmm4,%xmm9,%xmm4 + vpxor %xmm5,%xmm10,%xmm5 + vpxor %xmm6,%xmm11,%xmm6 +.byte 143,232,120,194,255,8 +.byte 143,232,120,194,228,8 +.byte 143,232,120,194,237,8 +.byte 143,232,120,194,246,8 + vpaddd %xmm7,%xmm14,%xmm14 + vpaddd %xmm4,%xmm15,%xmm15 + vpaddd %xmm5,%xmm12,%xmm12 + vpaddd %xmm6,%xmm13,%xmm13 + vpxor %xmm1,%xmm14,%xmm1 + vpxor %xmm2,%xmm15,%xmm2 + vpxor %xmm12,%xmm3,%xmm3 + vpxor %xmm13,%xmm0,%xmm0 +.byte 143,232,120,194,201,7 +.byte 143,232,120,194,210,7 +.byte 143,232,120,194,219,7 +.byte 143,232,120,194,192,7 + decl %eax + jnz .Loop4xop + + vpaddd 64(%rsp),%xmm8,%xmm8 + vpaddd 80(%rsp),%xmm9,%xmm9 + vpaddd 96(%rsp),%xmm10,%xmm10 + vpaddd 112(%rsp),%xmm11,%xmm11 + + vmovdqa %xmm14,32(%rsp) + vmovdqa %xmm15,48(%rsp) + + vpunpckldq %xmm9,%xmm8,%xmm14 + vpunpckldq %xmm11,%xmm10,%xmm15 + vpunpckhdq %xmm9,%xmm8,%xmm8 + vpunpckhdq %xmm11,%xmm10,%xmm10 + vpunpcklqdq %xmm15,%xmm14,%xmm9 + vpunpckhqdq %xmm15,%xmm14,%xmm14 + vpunpcklqdq %xmm10,%xmm8,%xmm11 + vpunpckhqdq %xmm10,%xmm8,%xmm8 + vpaddd 128-256(%rcx),%xmm0,%xmm0 + vpaddd 144-256(%rcx),%xmm1,%xmm1 + vpaddd 160-256(%rcx),%xmm2,%xmm2 + vpaddd 176-256(%rcx),%xmm3,%xmm3 + + vmovdqa %xmm9,0(%rsp) + vmovdqa %xmm14,16(%rsp) + vmovdqa 32(%rsp),%xmm9 + vmovdqa 48(%rsp),%xmm14 + + vpunpckldq %xmm1,%xmm0,%xmm10 + vpunpckldq %xmm3,%xmm2,%xmm15 + vpunpckhdq %xmm1,%xmm0,%xmm0 + vpunpckhdq %xmm3,%xmm2,%xmm2 + vpunpcklqdq %xmm15,%xmm10,%xmm1 + vpunpckhqdq %xmm15,%xmm10,%xmm10 + vpunpcklqdq %xmm2,%xmm0,%xmm3 + vpunpckhqdq %xmm2,%xmm0,%xmm0 + vpaddd 192-256(%rcx),%xmm12,%xmm12 + vpaddd 208-256(%rcx),%xmm13,%xmm13 + vpaddd 224-256(%rcx),%xmm9,%xmm9 + vpaddd 240-256(%rcx),%xmm14,%xmm14 + + vpunpckldq %xmm13,%xmm12,%xmm2 + vpunpckldq %xmm14,%xmm9,%xmm15 + vpunpckhdq %xmm13,%xmm12,%xmm12 + vpunpckhdq %xmm14,%xmm9,%xmm9 + vpunpcklqdq %xmm15,%xmm2,%xmm13 + vpunpckhqdq %xmm15,%xmm2,%xmm2 + vpunpcklqdq %xmm9,%xmm12,%xmm14 + vpunpckhqdq %xmm9,%xmm12,%xmm12 + vpaddd 256-256(%rcx),%xmm4,%xmm4 + vpaddd 272-256(%rcx),%xmm5,%xmm5 + vpaddd 288-256(%rcx),%xmm6,%xmm6 + vpaddd 304-256(%rcx),%xmm7,%xmm7 + + vpunpckldq %xmm5,%xmm4,%xmm9 + vpunpckldq %xmm7,%xmm6,%xmm15 + vpunpckhdq %xmm5,%xmm4,%xmm4 + vpunpckhdq %xmm7,%xmm6,%xmm6 + vpunpcklqdq %xmm15,%xmm9,%xmm5 + vpunpckhqdq %xmm15,%xmm9,%xmm9 + vpunpcklqdq %xmm6,%xmm4,%xmm7 + vpunpckhqdq %xmm6,%xmm4,%xmm4 + vmovdqa 0(%rsp),%xmm6 + vmovdqa 16(%rsp),%xmm15 + + cmpq $256,%rdx + jb .Ltail4xop + + vpxor 0(%rsi),%xmm6,%xmm6 + vpxor 16(%rsi),%xmm1,%xmm1 + vpxor 32(%rsi),%xmm13,%xmm13 + vpxor 48(%rsi),%xmm5,%xmm5 + vpxor 64(%rsi),%xmm15,%xmm15 + vpxor 80(%rsi),%xmm10,%xmm10 + vpxor 96(%rsi),%xmm2,%xmm2 + vpxor 112(%rsi),%xmm9,%xmm9 + leaq 128(%rsi),%rsi + vpxor 0(%rsi),%xmm11,%xmm11 + vpxor 16(%rsi),%xmm3,%xmm3 + vpxor 32(%rsi),%xmm14,%xmm14 + vpxor 48(%rsi),%xmm7,%xmm7 + vpxor 64(%rsi),%xmm8,%xmm8 + vpxor 80(%rsi),%xmm0,%xmm0 + vpxor 96(%rsi),%xmm12,%xmm12 + vpxor 112(%rsi),%xmm4,%xmm4 + leaq 128(%rsi),%rsi + + vmovdqu %xmm6,0(%rdi) + vmovdqu %xmm1,16(%rdi) + vmovdqu %xmm13,32(%rdi) + vmovdqu %xmm5,48(%rdi) + vmovdqu %xmm15,64(%rdi) + vmovdqu %xmm10,80(%rdi) + vmovdqu %xmm2,96(%rdi) + vmovdqu %xmm9,112(%rdi) + leaq 128(%rdi),%rdi + vmovdqu %xmm11,0(%rdi) + vmovdqu %xmm3,16(%rdi) + vmovdqu %xmm14,32(%rdi) + vmovdqu %xmm7,48(%rdi) + vmovdqu %xmm8,64(%rdi) + vmovdqu %xmm0,80(%rdi) + vmovdqu %xmm12,96(%rdi) + vmovdqu %xmm4,112(%rdi) + leaq 128(%rdi),%rdi + + subq $256,%rdx + jnz .Loop_outer4xop + + jmp .Ldone4xop + +.align 32 +.Ltail4xop: + cmpq $192,%rdx + jae .L192_or_more4xop + cmpq $128,%rdx + jae .L128_or_more4xop + cmpq $64,%rdx + jae .L64_or_more4xop + + xorq %r9,%r9 + vmovdqa %xmm6,0(%rsp) + vmovdqa %xmm1,16(%rsp) + vmovdqa %xmm13,32(%rsp) + vmovdqa %xmm5,48(%rsp) + jmp .Loop_tail4xop + +.align 32 +.L64_or_more4xop: + vpxor 0(%rsi),%xmm6,%xmm6 + vpxor 16(%rsi),%xmm1,%xmm1 + vpxor 32(%rsi),%xmm13,%xmm13 + vpxor 48(%rsi),%xmm5,%xmm5 + vmovdqu %xmm6,0(%rdi) + vmovdqu %xmm1,16(%rdi) + vmovdqu %xmm13,32(%rdi) + vmovdqu %xmm5,48(%rdi) + je .Ldone4xop + + leaq 64(%rsi),%rsi + vmovdqa %xmm15,0(%rsp) + xorq %r9,%r9 + vmovdqa %xmm10,16(%rsp) + leaq 64(%rdi),%rdi + vmovdqa %xmm2,32(%rsp) + subq $64,%rdx + vmovdqa %xmm9,48(%rsp) + jmp .Loop_tail4xop + +.align 32 +.L128_or_more4xop: + vpxor 0(%rsi),%xmm6,%xmm6 + vpxor 16(%rsi),%xmm1,%xmm1 + vpxor 32(%rsi),%xmm13,%xmm13 + vpxor 48(%rsi),%xmm5,%xmm5 + vpxor 64(%rsi),%xmm15,%xmm15 + vpxor 80(%rsi),%xmm10,%xmm10 + vpxor 96(%rsi),%xmm2,%xmm2 + vpxor 112(%rsi),%xmm9,%xmm9 + + vmovdqu %xmm6,0(%rdi) + vmovdqu %xmm1,16(%rdi) + vmovdqu %xmm13,32(%rdi) + vmovdqu %xmm5,48(%rdi) + vmovdqu %xmm15,64(%rdi) + vmovdqu %xmm10,80(%rdi) + vmovdqu %xmm2,96(%rdi) + vmovdqu %xmm9,112(%rdi) + je .Ldone4xop + + leaq 128(%rsi),%rsi + vmovdqa %xmm11,0(%rsp) + xorq %r9,%r9 + vmovdqa %xmm3,16(%rsp) + leaq 128(%rdi),%rdi + vmovdqa %xmm14,32(%rsp) + subq $128,%rdx + vmovdqa %xmm7,48(%rsp) + jmp .Loop_tail4xop + +.align 32 +.L192_or_more4xop: + vpxor 0(%rsi),%xmm6,%xmm6 + vpxor 16(%rsi),%xmm1,%xmm1 + vpxor 32(%rsi),%xmm13,%xmm13 + vpxor 48(%rsi),%xmm5,%xmm5 + vpxor 64(%rsi),%xmm15,%xmm15 + vpxor 80(%rsi),%xmm10,%xmm10 + vpxor 96(%rsi),%xmm2,%xmm2 + vpxor 112(%rsi),%xmm9,%xmm9 + leaq 128(%rsi),%rsi + vpxor 0(%rsi),%xmm11,%xmm11 + vpxor 16(%rsi),%xmm3,%xmm3 + vpxor 32(%rsi),%xmm14,%xmm14 + vpxor 48(%rsi),%xmm7,%xmm7 + + vmovdqu %xmm6,0(%rdi) + vmovdqu %xmm1,16(%rdi) + vmovdqu %xmm13,32(%rdi) + vmovdqu %xmm5,48(%rdi) + vmovdqu %xmm15,64(%rdi) + vmovdqu %xmm10,80(%rdi) + vmovdqu %xmm2,96(%rdi) + vmovdqu %xmm9,112(%rdi) + leaq 128(%rdi),%rdi + vmovdqu %xmm11,0(%rdi) + vmovdqu %xmm3,16(%rdi) + vmovdqu %xmm14,32(%rdi) + vmovdqu %xmm7,48(%rdi) + je .Ldone4xop + + leaq 64(%rsi),%rsi + vmovdqa %xmm8,0(%rsp) + xorq %r9,%r9 + vmovdqa %xmm0,16(%rsp) + leaq 64(%rdi),%rdi + vmovdqa %xmm12,32(%rsp) + subq $192,%rdx + vmovdqa %xmm4,48(%rsp) + +.Loop_tail4xop: + movzbl (%rsi,%r9,1),%eax + movzbl (%rsp,%r9,1),%ecx + leaq 1(%r9),%r9 + xorl %ecx,%eax + movb %al,-1(%rdi,%r9,1) + decq %rdx + jnz .Loop_tail4xop + +.Ldone4xop: + vzeroupper + leaq (%r10),%rsp +.cfi_def_cfa_register %rsp +.L4xop_epilogue: + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_chacha20_asm_4xop,.-crypton_chacha20_asm_4xop +.type crypton_chacha20_asm_avx2,@function +.align 32 +crypton_chacha20_asm_avx2: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + +.Lcrypton_chacha20_asm_8x: + movq %rsp,%r10 +.cfi_def_cfa_register %r10 + subq $0x280+8,%rsp + andq $-32,%rsp + vzeroupper + + + + + + + + + + + vbroadcasti128 .Lsigma(%rip),%ymm11 + vbroadcasti128 (%rcx),%ymm3 + vbroadcasti128 16(%rcx),%ymm15 + vbroadcasti128 (%r8),%ymm7 + leaq 256(%rsp),%rcx + leaq 512(%rsp),%rax + leaq .Lrot16(%rip),%r9 + leaq .Lrot24(%rip),%r11 + + vpshufd $0x00,%ymm11,%ymm8 + vpshufd $0x55,%ymm11,%ymm9 + vmovdqa %ymm8,128-256(%rcx) + vpshufd $0xaa,%ymm11,%ymm10 + vmovdqa %ymm9,160-256(%rcx) + vpshufd $0xff,%ymm11,%ymm11 + vmovdqa %ymm10,192-256(%rcx) + vmovdqa %ymm11,224-256(%rcx) + + vpshufd $0x00,%ymm3,%ymm0 + vpshufd $0x55,%ymm3,%ymm1 + vmovdqa %ymm0,256-256(%rcx) + vpshufd $0xaa,%ymm3,%ymm2 + vmovdqa %ymm1,288-256(%rcx) + vpshufd $0xff,%ymm3,%ymm3 + vmovdqa %ymm2,320-256(%rcx) + vmovdqa %ymm3,352-256(%rcx) + + vpshufd $0x00,%ymm15,%ymm12 + vpshufd $0x55,%ymm15,%ymm13 + vmovdqa %ymm12,384-512(%rax) + vpshufd $0xaa,%ymm15,%ymm14 + vmovdqa %ymm13,416-512(%rax) + vpshufd $0xff,%ymm15,%ymm15 + vmovdqa %ymm14,448-512(%rax) + vmovdqa %ymm15,480-512(%rax) + + vpshufd $0x00,%ymm7,%ymm4 + vpshufd $0x55,%ymm7,%ymm5 + vpaddd .Lincy(%rip),%ymm4,%ymm4 + vpshufd $0xaa,%ymm7,%ymm6 + vmovdqa %ymm5,544-512(%rax) + vpshufd $0xff,%ymm7,%ymm7 + vmovdqa %ymm6,576-512(%rax) + vmovdqa %ymm7,608-512(%rax) + + jmp .Loop_enter8x + +.align 32 +.Loop_outer8x: + vmovdqa 128-256(%rcx),%ymm8 + vmovdqa 160-256(%rcx),%ymm9 + vmovdqa 192-256(%rcx),%ymm10 + vmovdqa 224-256(%rcx),%ymm11 + vmovdqa 256-256(%rcx),%ymm0 + vmovdqa 288-256(%rcx),%ymm1 + vmovdqa 320-256(%rcx),%ymm2 + vmovdqa 352-256(%rcx),%ymm3 + vmovdqa 384-512(%rax),%ymm12 + vmovdqa 416-512(%rax),%ymm13 + vmovdqa 448-512(%rax),%ymm14 + vmovdqa 480-512(%rax),%ymm15 + vmovdqa 512-512(%rax),%ymm4 + vmovdqa 544-512(%rax),%ymm5 + vmovdqa 576-512(%rax),%ymm6 + vmovdqa 608-512(%rax),%ymm7 + vpaddd .Leight(%rip),%ymm4,%ymm4 + +.Loop_enter8x: + vmovdqa %ymm14,64(%rsp) + vmovdqa %ymm15,96(%rsp) + vbroadcasti128 (%r9),%ymm15 + vmovdqa %ymm4,512-512(%rax) + movl $10,%eax + jmp .Loop8x + +.align 32 +.Loop8x: + vpaddd %ymm0,%ymm8,%ymm8 + vpxor %ymm4,%ymm8,%ymm4 + vpshufb %ymm15,%ymm4,%ymm4 + vpaddd %ymm1,%ymm9,%ymm9 + vpxor %ymm5,%ymm9,%ymm5 + vpshufb %ymm15,%ymm5,%ymm5 + vpaddd %ymm4,%ymm12,%ymm12 + vpxor %ymm0,%ymm12,%ymm0 + vpslld $12,%ymm0,%ymm14 + vpsrld $20,%ymm0,%ymm0 + vpor %ymm0,%ymm14,%ymm0 + vbroadcasti128 (%r11),%ymm14 + vpaddd %ymm5,%ymm13,%ymm13 + vpxor %ymm1,%ymm13,%ymm1 + vpslld $12,%ymm1,%ymm15 + vpsrld $20,%ymm1,%ymm1 + vpor %ymm1,%ymm15,%ymm1 + vpaddd %ymm0,%ymm8,%ymm8 + vpxor %ymm4,%ymm8,%ymm4 + vpshufb %ymm14,%ymm4,%ymm4 + vpaddd %ymm1,%ymm9,%ymm9 + vpxor %ymm5,%ymm9,%ymm5 + vpshufb %ymm14,%ymm5,%ymm5 + vpaddd %ymm4,%ymm12,%ymm12 + vpxor %ymm0,%ymm12,%ymm0 + vpslld $7,%ymm0,%ymm15 + vpsrld $25,%ymm0,%ymm0 + vpor %ymm0,%ymm15,%ymm0 + vbroadcasti128 (%r9),%ymm15 + vpaddd %ymm5,%ymm13,%ymm13 + vpxor %ymm1,%ymm13,%ymm1 + vpslld $7,%ymm1,%ymm14 + vpsrld $25,%ymm1,%ymm1 + vpor %ymm1,%ymm14,%ymm1 + vmovdqa %ymm12,0(%rsp) + vmovdqa %ymm13,32(%rsp) + vmovdqa 64(%rsp),%ymm12 + vmovdqa 96(%rsp),%ymm13 + vpaddd %ymm2,%ymm10,%ymm10 + vpxor %ymm6,%ymm10,%ymm6 + vpshufb %ymm15,%ymm6,%ymm6 + vpaddd %ymm3,%ymm11,%ymm11 + vpxor %ymm7,%ymm11,%ymm7 + vpshufb %ymm15,%ymm7,%ymm7 + vpaddd %ymm6,%ymm12,%ymm12 + vpxor %ymm2,%ymm12,%ymm2 + vpslld $12,%ymm2,%ymm14 + vpsrld $20,%ymm2,%ymm2 + vpor %ymm2,%ymm14,%ymm2 + vbroadcasti128 (%r11),%ymm14 + vpaddd %ymm7,%ymm13,%ymm13 + vpxor %ymm3,%ymm13,%ymm3 + vpslld $12,%ymm3,%ymm15 + vpsrld $20,%ymm3,%ymm3 + vpor %ymm3,%ymm15,%ymm3 + vpaddd %ymm2,%ymm10,%ymm10 + vpxor %ymm6,%ymm10,%ymm6 + vpshufb %ymm14,%ymm6,%ymm6 + vpaddd %ymm3,%ymm11,%ymm11 + vpxor %ymm7,%ymm11,%ymm7 + vpshufb %ymm14,%ymm7,%ymm7 + vpaddd %ymm6,%ymm12,%ymm12 + vpxor %ymm2,%ymm12,%ymm2 + vpslld $7,%ymm2,%ymm15 + vpsrld $25,%ymm2,%ymm2 + vpor %ymm2,%ymm15,%ymm2 + vbroadcasti128 (%r9),%ymm15 + vpaddd %ymm7,%ymm13,%ymm13 + vpxor %ymm3,%ymm13,%ymm3 + vpslld $7,%ymm3,%ymm14 + vpsrld $25,%ymm3,%ymm3 + vpor %ymm3,%ymm14,%ymm3 + vpaddd %ymm1,%ymm8,%ymm8 + vpxor %ymm7,%ymm8,%ymm7 + vpshufb %ymm15,%ymm7,%ymm7 + vpaddd %ymm2,%ymm9,%ymm9 + vpxor %ymm4,%ymm9,%ymm4 + vpshufb %ymm15,%ymm4,%ymm4 + vpaddd %ymm7,%ymm12,%ymm12 + vpxor %ymm1,%ymm12,%ymm1 + vpslld $12,%ymm1,%ymm14 + vpsrld $20,%ymm1,%ymm1 + vpor %ymm1,%ymm14,%ymm1 + vbroadcasti128 (%r11),%ymm14 + vpaddd %ymm4,%ymm13,%ymm13 + vpxor %ymm2,%ymm13,%ymm2 + vpslld $12,%ymm2,%ymm15 + vpsrld $20,%ymm2,%ymm2 + vpor %ymm2,%ymm15,%ymm2 + vpaddd %ymm1,%ymm8,%ymm8 + vpxor %ymm7,%ymm8,%ymm7 + vpshufb %ymm14,%ymm7,%ymm7 + vpaddd %ymm2,%ymm9,%ymm9 + vpxor %ymm4,%ymm9,%ymm4 + vpshufb %ymm14,%ymm4,%ymm4 + vpaddd %ymm7,%ymm12,%ymm12 + vpxor %ymm1,%ymm12,%ymm1 + vpslld $7,%ymm1,%ymm15 + vpsrld $25,%ymm1,%ymm1 + vpor %ymm1,%ymm15,%ymm1 + vbroadcasti128 (%r9),%ymm15 + vpaddd %ymm4,%ymm13,%ymm13 + vpxor %ymm2,%ymm13,%ymm2 + vpslld $7,%ymm2,%ymm14 + vpsrld $25,%ymm2,%ymm2 + vpor %ymm2,%ymm14,%ymm2 + vmovdqa %ymm12,64(%rsp) + vmovdqa %ymm13,96(%rsp) + vmovdqa 0(%rsp),%ymm12 + vmovdqa 32(%rsp),%ymm13 + vpaddd %ymm3,%ymm10,%ymm10 + vpxor %ymm5,%ymm10,%ymm5 + vpshufb %ymm15,%ymm5,%ymm5 + vpaddd %ymm0,%ymm11,%ymm11 + vpxor %ymm6,%ymm11,%ymm6 + vpshufb %ymm15,%ymm6,%ymm6 + vpaddd %ymm5,%ymm12,%ymm12 + vpxor %ymm3,%ymm12,%ymm3 + vpslld $12,%ymm3,%ymm14 + vpsrld $20,%ymm3,%ymm3 + vpor %ymm3,%ymm14,%ymm3 + vbroadcasti128 (%r11),%ymm14 + vpaddd %ymm6,%ymm13,%ymm13 + vpxor %ymm0,%ymm13,%ymm0 + vpslld $12,%ymm0,%ymm15 + vpsrld $20,%ymm0,%ymm0 + vpor %ymm0,%ymm15,%ymm0 + vpaddd %ymm3,%ymm10,%ymm10 + vpxor %ymm5,%ymm10,%ymm5 + vpshufb %ymm14,%ymm5,%ymm5 + vpaddd %ymm0,%ymm11,%ymm11 + vpxor %ymm6,%ymm11,%ymm6 + vpshufb %ymm14,%ymm6,%ymm6 + vpaddd %ymm5,%ymm12,%ymm12 + vpxor %ymm3,%ymm12,%ymm3 + vpslld $7,%ymm3,%ymm15 + vpsrld $25,%ymm3,%ymm3 + vpor %ymm3,%ymm15,%ymm3 + vbroadcasti128 (%r9),%ymm15 + vpaddd %ymm6,%ymm13,%ymm13 + vpxor %ymm0,%ymm13,%ymm0 + vpslld $7,%ymm0,%ymm14 + vpsrld $25,%ymm0,%ymm0 + vpor %ymm0,%ymm14,%ymm0 + decl %eax + jnz .Loop8x + + leaq 512(%rsp),%rax + vpaddd 128-256(%rcx),%ymm8,%ymm8 + vpaddd 160-256(%rcx),%ymm9,%ymm9 + vpaddd 192-256(%rcx),%ymm10,%ymm10 + vpaddd 224-256(%rcx),%ymm11,%ymm11 + + vpunpckldq %ymm9,%ymm8,%ymm14 + vpunpckldq %ymm11,%ymm10,%ymm15 + vpunpckhdq %ymm9,%ymm8,%ymm8 + vpunpckhdq %ymm11,%ymm10,%ymm10 + vpunpcklqdq %ymm15,%ymm14,%ymm9 + vpunpckhqdq %ymm15,%ymm14,%ymm14 + vpunpcklqdq %ymm10,%ymm8,%ymm11 + vpunpckhqdq %ymm10,%ymm8,%ymm8 + vpaddd 256-256(%rcx),%ymm0,%ymm0 + vpaddd 288-256(%rcx),%ymm1,%ymm1 + vpaddd 320-256(%rcx),%ymm2,%ymm2 + vpaddd 352-256(%rcx),%ymm3,%ymm3 + + vpunpckldq %ymm1,%ymm0,%ymm10 + vpunpckldq %ymm3,%ymm2,%ymm15 + vpunpckhdq %ymm1,%ymm0,%ymm0 + vpunpckhdq %ymm3,%ymm2,%ymm2 + vpunpcklqdq %ymm15,%ymm10,%ymm1 + vpunpckhqdq %ymm15,%ymm10,%ymm10 + vpunpcklqdq %ymm2,%ymm0,%ymm3 + vpunpckhqdq %ymm2,%ymm0,%ymm0 + vperm2i128 $0x20,%ymm1,%ymm9,%ymm15 + vperm2i128 $0x31,%ymm1,%ymm9,%ymm1 + vperm2i128 $0x20,%ymm10,%ymm14,%ymm9 + vperm2i128 $0x31,%ymm10,%ymm14,%ymm10 + vperm2i128 $0x20,%ymm3,%ymm11,%ymm14 + vperm2i128 $0x31,%ymm3,%ymm11,%ymm3 + vperm2i128 $0x20,%ymm0,%ymm8,%ymm11 + vperm2i128 $0x31,%ymm0,%ymm8,%ymm0 + vmovdqa %ymm15,0(%rsp) + vmovdqa %ymm9,32(%rsp) + vmovdqa 64(%rsp),%ymm15 + vmovdqa 96(%rsp),%ymm9 + + vpaddd 384-512(%rax),%ymm12,%ymm12 + vpaddd 416-512(%rax),%ymm13,%ymm13 + vpaddd 448-512(%rax),%ymm15,%ymm15 + vpaddd 480-512(%rax),%ymm9,%ymm9 + + vpunpckldq %ymm13,%ymm12,%ymm2 + vpunpckldq %ymm9,%ymm15,%ymm8 + vpunpckhdq %ymm13,%ymm12,%ymm12 + vpunpckhdq %ymm9,%ymm15,%ymm15 + vpunpcklqdq %ymm8,%ymm2,%ymm13 + vpunpckhqdq %ymm8,%ymm2,%ymm2 + vpunpcklqdq %ymm15,%ymm12,%ymm9 + vpunpckhqdq %ymm15,%ymm12,%ymm12 + vpaddd 512-512(%rax),%ymm4,%ymm4 + vpaddd 544-512(%rax),%ymm5,%ymm5 + vpaddd 576-512(%rax),%ymm6,%ymm6 + vpaddd 608-512(%rax),%ymm7,%ymm7 + + vpunpckldq %ymm5,%ymm4,%ymm15 + vpunpckldq %ymm7,%ymm6,%ymm8 + vpunpckhdq %ymm5,%ymm4,%ymm4 + vpunpckhdq %ymm7,%ymm6,%ymm6 + vpunpcklqdq %ymm8,%ymm15,%ymm5 + vpunpckhqdq %ymm8,%ymm15,%ymm15 + vpunpcklqdq %ymm6,%ymm4,%ymm7 + vpunpckhqdq %ymm6,%ymm4,%ymm4 + vperm2i128 $0x20,%ymm5,%ymm13,%ymm8 + vperm2i128 $0x31,%ymm5,%ymm13,%ymm5 + vperm2i128 $0x20,%ymm15,%ymm2,%ymm13 + vperm2i128 $0x31,%ymm15,%ymm2,%ymm15 + vperm2i128 $0x20,%ymm7,%ymm9,%ymm2 + vperm2i128 $0x31,%ymm7,%ymm9,%ymm7 + vperm2i128 $0x20,%ymm4,%ymm12,%ymm9 + vperm2i128 $0x31,%ymm4,%ymm12,%ymm4 + vmovdqa 0(%rsp),%ymm6 + vmovdqa 32(%rsp),%ymm12 + + cmpq $512,%rdx + jb .Ltail8x + + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + leaq 128(%rsi),%rsi + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + leaq 128(%rdi),%rdi + + vpxor 0(%rsi),%ymm12,%ymm12 + vpxor 32(%rsi),%ymm13,%ymm13 + vpxor 64(%rsi),%ymm10,%ymm10 + vpxor 96(%rsi),%ymm15,%ymm15 + leaq 128(%rsi),%rsi + vmovdqu %ymm12,0(%rdi) + vmovdqu %ymm13,32(%rdi) + vmovdqu %ymm10,64(%rdi) + vmovdqu %ymm15,96(%rdi) + leaq 128(%rdi),%rdi + + vpxor 0(%rsi),%ymm14,%ymm14 + vpxor 32(%rsi),%ymm2,%ymm2 + vpxor 64(%rsi),%ymm3,%ymm3 + vpxor 96(%rsi),%ymm7,%ymm7 + leaq 128(%rsi),%rsi + vmovdqu %ymm14,0(%rdi) + vmovdqu %ymm2,32(%rdi) + vmovdqu %ymm3,64(%rdi) + vmovdqu %ymm7,96(%rdi) + leaq 128(%rdi),%rdi + + vpxor 0(%rsi),%ymm11,%ymm11 + vpxor 32(%rsi),%ymm9,%ymm9 + vpxor 64(%rsi),%ymm0,%ymm0 + vpxor 96(%rsi),%ymm4,%ymm4 + leaq 128(%rsi),%rsi + vmovdqu %ymm11,0(%rdi) + vmovdqu %ymm9,32(%rdi) + vmovdqu %ymm0,64(%rdi) + vmovdqu %ymm4,96(%rdi) + leaq 128(%rdi),%rdi + + subq $512,%rdx + jnz .Loop_outer8x + + jmp .Ldone8x + +.Ltail8x: + cmpq $448,%rdx + jae .L448_or_more8x + cmpq $384,%rdx + jae .L384_or_more8x + cmpq $320,%rdx + jae .L320_or_more8x + cmpq $256,%rdx + jae .L256_or_more8x + cmpq $192,%rdx + jae .L192_or_more8x + cmpq $128,%rdx + jae .L128_or_more8x + cmpq $64,%rdx + jae .L64_or_more8x + + xorq %r9,%r9 + vmovdqa %ymm6,0(%rsp) + vmovdqa %ymm8,32(%rsp) + jmp .Loop_tail8x + +.align 32 +.L64_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + je .Ldone8x + + leaq 64(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm1,0(%rsp) + leaq 64(%rdi),%rdi + subq $64,%rdx + vmovdqa %ymm5,32(%rsp) + jmp .Loop_tail8x + +.align 32 +.L128_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + je .Ldone8x + + leaq 128(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm12,0(%rsp) + leaq 128(%rdi),%rdi + subq $128,%rdx + vmovdqa %ymm13,32(%rsp) + jmp .Loop_tail8x + +.align 32 +.L192_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + vpxor 128(%rsi),%ymm12,%ymm12 + vpxor 160(%rsi),%ymm13,%ymm13 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + vmovdqu %ymm12,128(%rdi) + vmovdqu %ymm13,160(%rdi) + je .Ldone8x + + leaq 192(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm10,0(%rsp) + leaq 192(%rdi),%rdi + subq $192,%rdx + vmovdqa %ymm15,32(%rsp) + jmp .Loop_tail8x + +.align 32 +.L256_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + vpxor 128(%rsi),%ymm12,%ymm12 + vpxor 160(%rsi),%ymm13,%ymm13 + vpxor 192(%rsi),%ymm10,%ymm10 + vpxor 224(%rsi),%ymm15,%ymm15 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + vmovdqu %ymm12,128(%rdi) + vmovdqu %ymm13,160(%rdi) + vmovdqu %ymm10,192(%rdi) + vmovdqu %ymm15,224(%rdi) + je .Ldone8x + + leaq 256(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm14,0(%rsp) + leaq 256(%rdi),%rdi + subq $256,%rdx + vmovdqa %ymm2,32(%rsp) + jmp .Loop_tail8x + +.align 32 +.L320_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + vpxor 128(%rsi),%ymm12,%ymm12 + vpxor 160(%rsi),%ymm13,%ymm13 + vpxor 192(%rsi),%ymm10,%ymm10 + vpxor 224(%rsi),%ymm15,%ymm15 + vpxor 256(%rsi),%ymm14,%ymm14 + vpxor 288(%rsi),%ymm2,%ymm2 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + vmovdqu %ymm12,128(%rdi) + vmovdqu %ymm13,160(%rdi) + vmovdqu %ymm10,192(%rdi) + vmovdqu %ymm15,224(%rdi) + vmovdqu %ymm14,256(%rdi) + vmovdqu %ymm2,288(%rdi) + je .Ldone8x + + leaq 320(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm3,0(%rsp) + leaq 320(%rdi),%rdi + subq $320,%rdx + vmovdqa %ymm7,32(%rsp) + jmp .Loop_tail8x + +.align 32 +.L384_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + vpxor 128(%rsi),%ymm12,%ymm12 + vpxor 160(%rsi),%ymm13,%ymm13 + vpxor 192(%rsi),%ymm10,%ymm10 + vpxor 224(%rsi),%ymm15,%ymm15 + vpxor 256(%rsi),%ymm14,%ymm14 + vpxor 288(%rsi),%ymm2,%ymm2 + vpxor 320(%rsi),%ymm3,%ymm3 + vpxor 352(%rsi),%ymm7,%ymm7 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + vmovdqu %ymm12,128(%rdi) + vmovdqu %ymm13,160(%rdi) + vmovdqu %ymm10,192(%rdi) + vmovdqu %ymm15,224(%rdi) + vmovdqu %ymm14,256(%rdi) + vmovdqu %ymm2,288(%rdi) + vmovdqu %ymm3,320(%rdi) + vmovdqu %ymm7,352(%rdi) + je .Ldone8x + + leaq 384(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm11,0(%rsp) + leaq 384(%rdi),%rdi + subq $384,%rdx + vmovdqa %ymm9,32(%rsp) + jmp .Loop_tail8x + +.align 32 +.L448_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + vpxor 128(%rsi),%ymm12,%ymm12 + vpxor 160(%rsi),%ymm13,%ymm13 + vpxor 192(%rsi),%ymm10,%ymm10 + vpxor 224(%rsi),%ymm15,%ymm15 + vpxor 256(%rsi),%ymm14,%ymm14 + vpxor 288(%rsi),%ymm2,%ymm2 + vpxor 320(%rsi),%ymm3,%ymm3 + vpxor 352(%rsi),%ymm7,%ymm7 + vpxor 384(%rsi),%ymm11,%ymm11 + vpxor 416(%rsi),%ymm9,%ymm9 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + vmovdqu %ymm12,128(%rdi) + vmovdqu %ymm13,160(%rdi) + vmovdqu %ymm10,192(%rdi) + vmovdqu %ymm15,224(%rdi) + vmovdqu %ymm14,256(%rdi) + vmovdqu %ymm2,288(%rdi) + vmovdqu %ymm3,320(%rdi) + vmovdqu %ymm7,352(%rdi) + vmovdqu %ymm11,384(%rdi) + vmovdqu %ymm9,416(%rdi) + je .Ldone8x + + leaq 448(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm0,0(%rsp) + leaq 448(%rdi),%rdi + subq $448,%rdx + vmovdqa %ymm4,32(%rsp) + +.Loop_tail8x: + movzbl (%rsi,%r9,1),%eax + movzbl (%rsp,%r9,1),%ecx + leaq 1(%r9),%r9 + xorl %ecx,%eax + movb %al,-1(%rdi,%r9,1) + decq %rdx + jnz .Loop_tail8x + +.Ldone8x: + vzeroall + leaq (%r10),%rsp +.cfi_def_cfa_register %rsp +.Lavx2_epilogue: + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_chacha20_asm_avx2,.-crypton_chacha20_asm_avx2 + +.section .note.gnu.property,"a",@note + .long 4,2f-1f,5 + .byte 0x47,0x4E,0x55,0 +1: .long 0xc0000002,4,3 +.align 8 +2: + +.section .note.GNU-stack,"",@progbits diff --git a/cbits/asm/chacha-x86_64-macosx.S b/cbits/asm/chacha-x86_64-macosx.S new file mode 100644 --- /dev/null +++ b/cbits/asm/chacha-x86_64-macosx.S @@ -0,0 +1,2232 @@ +.text + + + +.p2align 6 +L$zero: +.long 0,0,0,0 +L$one: +.long 1,0,0,0 +L$inc: +.long 0,1,2,3 +L$four: +.long 4,4,4,4 +L$incy: +.long 0,2,4,6,1,3,5,7 +L$eight: +.long 8,8,8,8,8,8,8,8 +L$rot16: +.byte 0x2,0x3,0x0,0x1, 0x6,0x7,0x4,0x5, 0xa,0xb,0x8,0x9, 0xe,0xf,0xc,0xd +L$rot24: +.byte 0x3,0x0,0x1,0x2, 0x7,0x4,0x5,0x6, 0xb,0x8,0x9,0xa, 0xf,0xc,0xd,0xe +L$twoy: +.long 2,0,0,0, 2,0,0,0 +.p2align 6 +L$zeroz: +.long 0,0,0,0, 1,0,0,0, 2,0,0,0, 3,0,0,0 +L$fourz: +.long 4,0,0,0, 4,0,0,0, 4,0,0,0, 4,0,0,0 +L$incz: +.long 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15 +L$sixteen: +.long 16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16 +L$sigma: +.byte 101,120,112,97,110,100,32,51,50,45,98,121,116,101,32,107,0 +.byte 67,104,97,67,104,97,50,48,32,102,111,114,32,120,56,54,95,54,52,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.globl _crypton_chacha20_asm_ctr32 + +.p2align 6 +_crypton_chacha20_asm_ctr32: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + cmpq $0,%rdx + je L$no_data + movq _crypton_ia32cap_P+4(%rip),%r9 + testl $512,%r9d + jnz L$crypton_chacha20_asm_ssse3 + pushq %rbx +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbx,-16 + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-24 + pushq %r12 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r15,-56 + subq $64+24,%rsp +.cfi_adjust_cfa_offset 88 +L$ctr32_body: + + movq %rdx,%rbp + + movq 0(%rcx),%r12 + movq 8(%rcx),%r13 + movq 16(%rcx),%r14 + movq 24(%rcx),%r15 + movq 0(%r8),%rax + movq 8(%r8),%rdx + movq %r12,16(%rsp) + movq %r13,24(%rsp) + movq %r14,0(%rsp) + movq %r15,8(%rsp) + movq %rax,48(%rsp) + movq %rdx,56(%rsp) + jmp L$oop_outer + +.p2align 5 +L$oop_outer: + movl $0x61707865,%eax + movl $0x3320646e,%ebx + movl $0x79622d32,%ecx + movl $0x6b206574,%edx + movl 16(%rsp),%r8d + movl 20(%rsp),%r9d + movl 24(%rsp),%r10d + movl 28(%rsp),%r11d + movl 48(%rsp),%r12d + movl 52(%rsp),%r13d + movl 56(%rsp),%r14d + movq %r15,40(%rsp) + movl 60(%rsp),%r15d + + movq %rbp,64+0(%rsp) + movq %rsi,64+8(%rsp) + movl 0(%rsp),%esi + movq %rdi,64+16(%rsp) + movl 4(%rsp),%edi + movl $10,%ebp + jmp L$oop + +.p2align 5 +L$oop: + addl %r8d,%eax + xorl %eax,%r12d + roll $16,%r12d + addl %r9d,%ebx + xorl %ebx,%r13d + roll $16,%r13d + addl %r12d,%esi + xorl %esi,%r8d + roll $12,%r8d + addl %r13d,%edi + xorl %edi,%r9d + roll $12,%r9d + addl %r8d,%eax + xorl %eax,%r12d + roll $8,%r12d + addl %r9d,%ebx + xorl %ebx,%r13d + roll $8,%r13d + addl %r12d,%esi + xorl %esi,%r8d + roll $7,%r8d + addl %r13d,%edi + xorl %edi,%r9d + roll $7,%r9d + movl %esi,32(%rsp) + movl %edi,36(%rsp) + movl 40(%rsp),%esi + movl 44(%rsp),%edi + addl %r10d,%ecx + xorl %ecx,%r14d + roll $16,%r14d + addl %r11d,%edx + xorl %edx,%r15d + roll $16,%r15d + addl %r14d,%esi + xorl %esi,%r10d + roll $12,%r10d + addl %r15d,%edi + xorl %edi,%r11d + roll $12,%r11d + addl %r10d,%ecx + xorl %ecx,%r14d + roll $8,%r14d + addl %r11d,%edx + xorl %edx,%r15d + roll $8,%r15d + addl %r14d,%esi + xorl %esi,%r10d + roll $7,%r10d + addl %r15d,%edi + xorl %edi,%r11d + roll $7,%r11d + addl %r9d,%eax + xorl %eax,%r15d + roll $16,%r15d + addl %r10d,%ebx + xorl %ebx,%r12d + roll $16,%r12d + addl %r15d,%esi + xorl %esi,%r9d + roll $12,%r9d + addl %r12d,%edi + xorl %edi,%r10d + roll $12,%r10d + addl %r9d,%eax + xorl %eax,%r15d + roll $8,%r15d + addl %r10d,%ebx + xorl %ebx,%r12d + roll $8,%r12d + addl %r15d,%esi + xorl %esi,%r9d + roll $7,%r9d + addl %r12d,%edi + xorl %edi,%r10d + roll $7,%r10d + movl %esi,40(%rsp) + movl %edi,44(%rsp) + movl 32(%rsp),%esi + movl 36(%rsp),%edi + addl %r11d,%ecx + xorl %ecx,%r13d + roll $16,%r13d + addl %r8d,%edx + xorl %edx,%r14d + roll $16,%r14d + addl %r13d,%esi + xorl %esi,%r11d + roll $12,%r11d + addl %r14d,%edi + xorl %edi,%r8d + roll $12,%r8d + addl %r11d,%ecx + xorl %ecx,%r13d + roll $8,%r13d + addl %r8d,%edx + xorl %edx,%r14d + roll $8,%r14d + addl %r13d,%esi + xorl %esi,%r11d + roll $7,%r11d + addl %r14d,%edi + xorl %edi,%r8d + roll $7,%r8d + decl %ebp + jnz L$oop + addl 0(%rsp),%esi + addl 4(%rsp),%edi + movq 64(%rsp),%rbp + movl %esi,32(%rsp) + movq 64+8(%rsp),%rsi + movl %edi,36(%rsp) + movq 64+16(%rsp),%rdi + + addl $0x61707865,%eax + addl $0x3320646e,%ebx + addl $0x79622d32,%ecx + addl $0x6b206574,%edx + addl 16(%rsp),%r8d + addl 20(%rsp),%r9d + addl 24(%rsp),%r10d + addl 28(%rsp),%r11d + addl 48(%rsp),%r12d + addl 52(%rsp),%r13d + addl 56(%rsp),%r14d + addl 60(%rsp),%r15d + + cmpq $64,%rbp + jb L$tail + + xorl 0(%rsi),%eax + xorl 4(%rsi),%ebx + xorl 8(%rsi),%ecx + xorl 12(%rsi),%edx + movl %eax,0(%rdi) + movl 32(%rsp),%eax + movl %ebx,4(%rdi) + movl 36(%rsp),%ebx + movl %ecx,8(%rdi) + movl 40(%rsp),%ecx + movl %edx,12(%rdi) + movl 44(%rsp),%edx + xorl 16(%rsi),%r8d + addl 8(%rsp),%ecx + xorl 20(%rsi),%r9d + addl 12(%rsp),%edx + xorl 24(%rsi),%r10d + xorl 28(%rsi),%r11d + xorl 32(%rsi),%eax + xorl 36(%rsi),%ebx + xorl 40(%rsi),%ecx + xorl 44(%rsi),%edx + xorl 48(%rsi),%r12d + xorl 52(%rsi),%r13d + xorl 56(%rsi),%r14d + xorl 60(%rsi),%r15d + leaq 64(%rsi),%rsi + + addl $1,48(%rsp) + + movl %r8d,16(%rdi) + movl %r9d,20(%rdi) + movl %r10d,24(%rdi) + movl %r11d,28(%rdi) + movl %eax,32(%rdi) + movl %ebx,36(%rdi) + movl %ecx,40(%rdi) + movl %edx,44(%rdi) + movl %r12d,48(%rdi) + movl %r13d,52(%rdi) + movl %r14d,56(%rdi) + movl %r15d,60(%rdi) + leaq 64(%rdi),%rdi + movq 8(%rsp),%r15 + + subq $64,%rbp + jnz L$oop_outer + + jmp L$done + +.p2align 4 +L$tail: + movl %eax,0(%rsp) + movl 8(%rsp),%eax + movl %ebx,4(%rsp) + movl 12(%rsp),%ebx + movl %ecx,8(%rsp) + addl 40(%rsp),%eax + movl %edx,12(%rsp) + addl 44(%rsp),%ebx + movl %r8d,16(%rsp) + movl %r9d,20(%rsp) + movl %r10d,24(%rsp) + movl %r11d,28(%rsp) + movl %eax,40(%rsp) + movl %ebx,44(%rsp) + xorq %rbx,%rbx + movl %r12d,48(%rsp) + movl %r13d,52(%rsp) + movl %r14d,56(%rsp) + movl %r15d,60(%rsp) + +L$oop_tail: + movzbl (%rsi,%rbx,1),%eax + movzbl (%rsp,%rbx,1),%edx + leaq 1(%rbx),%rbx + xorl %edx,%eax + movb %al,-1(%rdi,%rbx,1) + decq %rbp + jnz L$oop_tail + +L$done: + leaq 64+24+48(%rsp),%rsi +.cfi_def_cfa %rsi,8 + movq -48(%rsi),%r15 +.cfi_restore %r15 + movq -40(%rsi),%r14 +.cfi_restore %r14 + movq -32(%rsi),%r13 +.cfi_restore %r13 + movq -24(%rsi),%r12 +.cfi_restore %r12 + movq -16(%rsi),%rbp +.cfi_restore %rbp + movq -8(%rsi),%rbx +.cfi_restore %rbx + leaq (%rsi),%rsp +.cfi_def_cfa_register %rsp +L$no_data: + .byte 0xf3,0xc3 +.cfi_endproc + + +.p2align 5 +crypton_chacha20_asm_ssse3: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + +L$crypton_chacha20_asm_ssse3: + movq %rsp,%r10 +.cfi_def_cfa_register %r10 + testl $2048,%r9d + jnz L$crypton_chacha20_asm_4xop + cmpq $128,%rdx + je L$crypton_chacha20_asm_128 + ja L$crypton_chacha20_asm_4x + +L$do_sse3_after_all: + subq $64+8,%rsp + andq $-16,%rsp + movdqa L$sigma(%rip),%xmm0 + movdqu (%rcx),%xmm1 + movdqu 16(%rcx),%xmm2 + movdqu (%r8),%xmm3 + movdqa L$rot16(%rip),%xmm6 + movdqa L$rot24(%rip),%xmm7 + + movdqa %xmm0,0(%rsp) + movdqa %xmm1,16(%rsp) + movdqa %xmm2,32(%rsp) + movdqa %xmm3,48(%rsp) + movq $10,%r8 + jmp L$oop_ssse3 + +.p2align 5 +L$oop_outer_ssse3: + movdqa L$one(%rip),%xmm3 + movdqa 0(%rsp),%xmm0 + movdqa 16(%rsp),%xmm1 + movdqa 32(%rsp),%xmm2 + paddd 48(%rsp),%xmm3 + movq $10,%r8 + movdqa %xmm3,48(%rsp) + jmp L$oop_ssse3 + +.p2align 5 +L$oop_ssse3: + paddd %xmm1,%xmm0 + pxor %xmm0,%xmm3 +.byte 102,15,56,0,222 + paddd %xmm3,%xmm2 + pxor %xmm2,%xmm1 + movdqa %xmm1,%xmm4 + psrld $20,%xmm1 + pslld $12,%xmm4 + por %xmm4,%xmm1 + paddd %xmm1,%xmm0 + pxor %xmm0,%xmm3 +.byte 102,15,56,0,223 + paddd %xmm3,%xmm2 + pxor %xmm2,%xmm1 + movdqa %xmm1,%xmm4 + psrld $25,%xmm1 + pslld $7,%xmm4 + por %xmm4,%xmm1 + pshufd $78,%xmm2,%xmm2 + pshufd $57,%xmm1,%xmm1 + pshufd $147,%xmm3,%xmm3 + nop + paddd %xmm1,%xmm0 + pxor %xmm0,%xmm3 +.byte 102,15,56,0,222 + paddd %xmm3,%xmm2 + pxor %xmm2,%xmm1 + movdqa %xmm1,%xmm4 + psrld $20,%xmm1 + pslld $12,%xmm4 + por %xmm4,%xmm1 + paddd %xmm1,%xmm0 + pxor %xmm0,%xmm3 +.byte 102,15,56,0,223 + paddd %xmm3,%xmm2 + pxor %xmm2,%xmm1 + movdqa %xmm1,%xmm4 + psrld $25,%xmm1 + pslld $7,%xmm4 + por %xmm4,%xmm1 + pshufd $78,%xmm2,%xmm2 + pshufd $147,%xmm1,%xmm1 + pshufd $57,%xmm3,%xmm3 + decq %r8 + jnz L$oop_ssse3 + paddd 0(%rsp),%xmm0 + paddd 16(%rsp),%xmm1 + paddd 32(%rsp),%xmm2 + paddd 48(%rsp),%xmm3 + + cmpq $64,%rdx + jb L$tail_ssse3 + + movdqu 0(%rsi),%xmm4 + movdqu 16(%rsi),%xmm5 + pxor %xmm4,%xmm0 + movdqu 32(%rsi),%xmm4 + pxor %xmm5,%xmm1 + movdqu 48(%rsi),%xmm5 + leaq 64(%rsi),%rsi + pxor %xmm4,%xmm2 + pxor %xmm5,%xmm3 + + movdqu %xmm0,0(%rdi) + movdqu %xmm1,16(%rdi) + movdqu %xmm2,32(%rdi) + movdqu %xmm3,48(%rdi) + leaq 64(%rdi),%rdi + + subq $64,%rdx + jnz L$oop_outer_ssse3 + + jmp L$done_ssse3 + +.p2align 4 +L$tail_ssse3: + movdqa %xmm0,0(%rsp) + movdqa %xmm1,16(%rsp) + movdqa %xmm2,32(%rsp) + movdqa %xmm3,48(%rsp) + xorq %r8,%r8 + +L$oop_tail_ssse3: + movzbl (%rsi,%r8,1),%eax + movzbl (%rsp,%r8,1),%ecx + leaq 1(%r8),%r8 + xorl %ecx,%eax + movb %al,-1(%rdi,%r8,1) + decq %rdx + jnz L$oop_tail_ssse3 + +L$done_ssse3: + leaq (%r10),%rsp +.cfi_def_cfa_register %rsp +L$ssse3_epilogue: + .byte 0xf3,0xc3 +.cfi_endproc + + +.p2align 5 +crypton_chacha20_asm_128: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + +L$crypton_chacha20_asm_128: + movq %rsp,%r10 +.cfi_def_cfa_register %r10 + subq $64+8,%rsp + andq $-16,%rsp + movdqa L$sigma(%rip),%xmm8 + movdqu (%rcx),%xmm9 + movdqu 16(%rcx),%xmm2 + movdqu (%r8),%xmm3 + movdqa L$one(%rip),%xmm1 + movdqa L$rot16(%rip),%xmm6 + movdqa L$rot24(%rip),%xmm7 + + movdqa %xmm8,%xmm10 + movdqa %xmm8,0(%rsp) + movdqa %xmm9,%xmm11 + movdqa %xmm9,16(%rsp) + movdqa %xmm2,%xmm0 + movdqa %xmm2,32(%rsp) + paddd %xmm3,%xmm1 + movdqa %xmm3,48(%rsp) + movq $10,%r8 + jmp L$oop_128 + +.p2align 5 +L$oop_128: + paddd %xmm9,%xmm8 + pxor %xmm8,%xmm3 + paddd %xmm11,%xmm10 + pxor %xmm10,%xmm1 +.byte 102,15,56,0,222 +.byte 102,15,56,0,206 + paddd %xmm3,%xmm2 + paddd %xmm1,%xmm0 + pxor %xmm2,%xmm9 + pxor %xmm0,%xmm11 + movdqa %xmm9,%xmm4 + psrld $20,%xmm9 + movdqa %xmm11,%xmm5 + pslld $12,%xmm4 + psrld $20,%xmm11 + por %xmm4,%xmm9 + pslld $12,%xmm5 + por %xmm5,%xmm11 + paddd %xmm9,%xmm8 + pxor %xmm8,%xmm3 + paddd %xmm11,%xmm10 + pxor %xmm10,%xmm1 +.byte 102,15,56,0,223 +.byte 102,15,56,0,207 + paddd %xmm3,%xmm2 + paddd %xmm1,%xmm0 + pxor %xmm2,%xmm9 + pxor %xmm0,%xmm11 + movdqa %xmm9,%xmm4 + psrld $25,%xmm9 + movdqa %xmm11,%xmm5 + pslld $7,%xmm4 + psrld $25,%xmm11 + por %xmm4,%xmm9 + pslld $7,%xmm5 + por %xmm5,%xmm11 + pshufd $78,%xmm2,%xmm2 + pshufd $57,%xmm9,%xmm9 + pshufd $147,%xmm3,%xmm3 + pshufd $78,%xmm0,%xmm0 + pshufd $57,%xmm11,%xmm11 + pshufd $147,%xmm1,%xmm1 + paddd %xmm9,%xmm8 + pxor %xmm8,%xmm3 + paddd %xmm11,%xmm10 + pxor %xmm10,%xmm1 +.byte 102,15,56,0,222 +.byte 102,15,56,0,206 + paddd %xmm3,%xmm2 + paddd %xmm1,%xmm0 + pxor %xmm2,%xmm9 + pxor %xmm0,%xmm11 + movdqa %xmm9,%xmm4 + psrld $20,%xmm9 + movdqa %xmm11,%xmm5 + pslld $12,%xmm4 + psrld $20,%xmm11 + por %xmm4,%xmm9 + pslld $12,%xmm5 + por %xmm5,%xmm11 + paddd %xmm9,%xmm8 + pxor %xmm8,%xmm3 + paddd %xmm11,%xmm10 + pxor %xmm10,%xmm1 +.byte 102,15,56,0,223 +.byte 102,15,56,0,207 + paddd %xmm3,%xmm2 + paddd %xmm1,%xmm0 + pxor %xmm2,%xmm9 + pxor %xmm0,%xmm11 + movdqa %xmm9,%xmm4 + psrld $25,%xmm9 + movdqa %xmm11,%xmm5 + pslld $7,%xmm4 + psrld $25,%xmm11 + por %xmm4,%xmm9 + pslld $7,%xmm5 + por %xmm5,%xmm11 + pshufd $78,%xmm2,%xmm2 + pshufd $147,%xmm9,%xmm9 + pshufd $57,%xmm3,%xmm3 + pshufd $78,%xmm0,%xmm0 + pshufd $147,%xmm11,%xmm11 + pshufd $57,%xmm1,%xmm1 + decq %r8 + jnz L$oop_128 + paddd 0(%rsp),%xmm8 + paddd 16(%rsp),%xmm9 + paddd 32(%rsp),%xmm2 + paddd 48(%rsp),%xmm3 + paddd L$one(%rip),%xmm1 + paddd 0(%rsp),%xmm10 + paddd 16(%rsp),%xmm11 + paddd 32(%rsp),%xmm0 + paddd 48(%rsp),%xmm1 + + movdqu 0(%rsi),%xmm4 + movdqu 16(%rsi),%xmm5 + pxor %xmm4,%xmm8 + movdqu 32(%rsi),%xmm4 + pxor %xmm5,%xmm9 + movdqu 48(%rsi),%xmm5 + pxor %xmm4,%xmm2 + movdqu 64(%rsi),%xmm4 + pxor %xmm5,%xmm3 + movdqu 80(%rsi),%xmm5 + pxor %xmm4,%xmm10 + movdqu 96(%rsi),%xmm4 + pxor %xmm5,%xmm11 + movdqu 112(%rsi),%xmm5 + pxor %xmm4,%xmm0 + pxor %xmm5,%xmm1 + + movdqu %xmm8,0(%rdi) + movdqu %xmm9,16(%rdi) + movdqu %xmm2,32(%rdi) + movdqu %xmm3,48(%rdi) + movdqu %xmm10,64(%rdi) + movdqu %xmm11,80(%rdi) + movdqu %xmm0,96(%rdi) + movdqu %xmm1,112(%rdi) + leaq (%r10),%rsp +.cfi_def_cfa_register %rsp +L$128_epilogue: + .byte 0xf3,0xc3 +.cfi_endproc + + +.p2align 5 +crypton_chacha20_asm_4x: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + +L$crypton_chacha20_asm_4x: + movq %rsp,%r10 +.cfi_def_cfa_register %r10 + movq %r9,%r11 + shrq $32,%r9 + testq $32,%r9 + jnz L$crypton_chacha20_asm_8x + cmpq $192,%rdx + ja L$proceed4x + + andq $71303168,%r11 + cmpq $4194304,%r11 + je L$do_sse3_after_all + +L$proceed4x: + subq $0x140+8,%rsp + andq $-16,%rsp + movdqa L$sigma(%rip),%xmm11 + movdqu (%rcx),%xmm15 + movdqu 16(%rcx),%xmm7 + movdqu (%r8),%xmm3 + leaq 256(%rsp),%rcx + leaq L$rot16(%rip),%r9 + leaq L$rot24(%rip),%r11 + + pshufd $0x00,%xmm11,%xmm8 + pshufd $0x55,%xmm11,%xmm9 + movdqa %xmm8,64(%rsp) + pshufd $0xaa,%xmm11,%xmm10 + movdqa %xmm9,80(%rsp) + pshufd $0xff,%xmm11,%xmm11 + movdqa %xmm10,96(%rsp) + movdqa %xmm11,112(%rsp) + + pshufd $0x00,%xmm15,%xmm12 + pshufd $0x55,%xmm15,%xmm13 + movdqa %xmm12,128-256(%rcx) + pshufd $0xaa,%xmm15,%xmm14 + movdqa %xmm13,144-256(%rcx) + pshufd $0xff,%xmm15,%xmm15 + movdqa %xmm14,160-256(%rcx) + movdqa %xmm15,176-256(%rcx) + + pshufd $0x00,%xmm7,%xmm4 + pshufd $0x55,%xmm7,%xmm5 + movdqa %xmm4,192-256(%rcx) + pshufd $0xaa,%xmm7,%xmm6 + movdqa %xmm5,208-256(%rcx) + pshufd $0xff,%xmm7,%xmm7 + movdqa %xmm6,224-256(%rcx) + movdqa %xmm7,240-256(%rcx) + + pshufd $0x00,%xmm3,%xmm0 + pshufd $0x55,%xmm3,%xmm1 + paddd L$inc(%rip),%xmm0 + pshufd $0xaa,%xmm3,%xmm2 + movdqa %xmm1,272-256(%rcx) + pshufd $0xff,%xmm3,%xmm3 + movdqa %xmm2,288-256(%rcx) + movdqa %xmm3,304-256(%rcx) + + jmp L$oop_enter4x + +.p2align 5 +L$oop_outer4x: + movdqa 64(%rsp),%xmm8 + movdqa 80(%rsp),%xmm9 + movdqa 96(%rsp),%xmm10 + movdqa 112(%rsp),%xmm11 + movdqa 128-256(%rcx),%xmm12 + movdqa 144-256(%rcx),%xmm13 + movdqa 160-256(%rcx),%xmm14 + movdqa 176-256(%rcx),%xmm15 + movdqa 192-256(%rcx),%xmm4 + movdqa 208-256(%rcx),%xmm5 + movdqa 224-256(%rcx),%xmm6 + movdqa 240-256(%rcx),%xmm7 + movdqa 256-256(%rcx),%xmm0 + movdqa 272-256(%rcx),%xmm1 + movdqa 288-256(%rcx),%xmm2 + movdqa 304-256(%rcx),%xmm3 + paddd L$four(%rip),%xmm0 + +L$oop_enter4x: + movdqa %xmm6,32(%rsp) + movdqa %xmm7,48(%rsp) + movdqa (%r9),%xmm7 + movl $10,%eax + movdqa %xmm0,256-256(%rcx) + jmp L$oop4x + +.p2align 5 +L$oop4x: + paddd %xmm12,%xmm8 + paddd %xmm13,%xmm9 + pxor %xmm8,%xmm0 + pxor %xmm9,%xmm1 +.byte 102,15,56,0,199 +.byte 102,15,56,0,207 + paddd %xmm0,%xmm4 + paddd %xmm1,%xmm5 + pxor %xmm4,%xmm12 + pxor %xmm5,%xmm13 + movdqa %xmm12,%xmm6 + pslld $12,%xmm12 + psrld $20,%xmm6 + movdqa %xmm13,%xmm7 + pslld $12,%xmm13 + por %xmm6,%xmm12 + psrld $20,%xmm7 + movdqa (%r11),%xmm6 + por %xmm7,%xmm13 + paddd %xmm12,%xmm8 + paddd %xmm13,%xmm9 + pxor %xmm8,%xmm0 + pxor %xmm9,%xmm1 +.byte 102,15,56,0,198 +.byte 102,15,56,0,206 + paddd %xmm0,%xmm4 + paddd %xmm1,%xmm5 + pxor %xmm4,%xmm12 + pxor %xmm5,%xmm13 + movdqa %xmm12,%xmm7 + pslld $7,%xmm12 + psrld $25,%xmm7 + movdqa %xmm13,%xmm6 + pslld $7,%xmm13 + por %xmm7,%xmm12 + psrld $25,%xmm6 + movdqa (%r9),%xmm7 + por %xmm6,%xmm13 + movdqa %xmm4,0(%rsp) + movdqa %xmm5,16(%rsp) + movdqa 32(%rsp),%xmm4 + movdqa 48(%rsp),%xmm5 + paddd %xmm14,%xmm10 + paddd %xmm15,%xmm11 + pxor %xmm10,%xmm2 + pxor %xmm11,%xmm3 +.byte 102,15,56,0,215 +.byte 102,15,56,0,223 + paddd %xmm2,%xmm4 + paddd %xmm3,%xmm5 + pxor %xmm4,%xmm14 + pxor %xmm5,%xmm15 + movdqa %xmm14,%xmm6 + pslld $12,%xmm14 + psrld $20,%xmm6 + movdqa %xmm15,%xmm7 + pslld $12,%xmm15 + por %xmm6,%xmm14 + psrld $20,%xmm7 + movdqa (%r11),%xmm6 + por %xmm7,%xmm15 + paddd %xmm14,%xmm10 + paddd %xmm15,%xmm11 + pxor %xmm10,%xmm2 + pxor %xmm11,%xmm3 +.byte 102,15,56,0,214 +.byte 102,15,56,0,222 + paddd %xmm2,%xmm4 + paddd %xmm3,%xmm5 + pxor %xmm4,%xmm14 + pxor %xmm5,%xmm15 + movdqa %xmm14,%xmm7 + pslld $7,%xmm14 + psrld $25,%xmm7 + movdqa %xmm15,%xmm6 + pslld $7,%xmm15 + por %xmm7,%xmm14 + psrld $25,%xmm6 + movdqa (%r9),%xmm7 + por %xmm6,%xmm15 + paddd %xmm13,%xmm8 + paddd %xmm14,%xmm9 + pxor %xmm8,%xmm3 + pxor %xmm9,%xmm0 +.byte 102,15,56,0,223 +.byte 102,15,56,0,199 + paddd %xmm3,%xmm4 + paddd %xmm0,%xmm5 + pxor %xmm4,%xmm13 + pxor %xmm5,%xmm14 + movdqa %xmm13,%xmm6 + pslld $12,%xmm13 + psrld $20,%xmm6 + movdqa %xmm14,%xmm7 + pslld $12,%xmm14 + por %xmm6,%xmm13 + psrld $20,%xmm7 + movdqa (%r11),%xmm6 + por %xmm7,%xmm14 + paddd %xmm13,%xmm8 + paddd %xmm14,%xmm9 + pxor %xmm8,%xmm3 + pxor %xmm9,%xmm0 +.byte 102,15,56,0,222 +.byte 102,15,56,0,198 + paddd %xmm3,%xmm4 + paddd %xmm0,%xmm5 + pxor %xmm4,%xmm13 + pxor %xmm5,%xmm14 + movdqa %xmm13,%xmm7 + pslld $7,%xmm13 + psrld $25,%xmm7 + movdqa %xmm14,%xmm6 + pslld $7,%xmm14 + por %xmm7,%xmm13 + psrld $25,%xmm6 + movdqa (%r9),%xmm7 + por %xmm6,%xmm14 + movdqa %xmm4,32(%rsp) + movdqa %xmm5,48(%rsp) + movdqa 0(%rsp),%xmm4 + movdqa 16(%rsp),%xmm5 + paddd %xmm15,%xmm10 + paddd %xmm12,%xmm11 + pxor %xmm10,%xmm1 + pxor %xmm11,%xmm2 +.byte 102,15,56,0,207 +.byte 102,15,56,0,215 + paddd %xmm1,%xmm4 + paddd %xmm2,%xmm5 + pxor %xmm4,%xmm15 + pxor %xmm5,%xmm12 + movdqa %xmm15,%xmm6 + pslld $12,%xmm15 + psrld $20,%xmm6 + movdqa %xmm12,%xmm7 + pslld $12,%xmm12 + por %xmm6,%xmm15 + psrld $20,%xmm7 + movdqa (%r11),%xmm6 + por %xmm7,%xmm12 + paddd %xmm15,%xmm10 + paddd %xmm12,%xmm11 + pxor %xmm10,%xmm1 + pxor %xmm11,%xmm2 +.byte 102,15,56,0,206 +.byte 102,15,56,0,214 + paddd %xmm1,%xmm4 + paddd %xmm2,%xmm5 + pxor %xmm4,%xmm15 + pxor %xmm5,%xmm12 + movdqa %xmm15,%xmm7 + pslld $7,%xmm15 + psrld $25,%xmm7 + movdqa %xmm12,%xmm6 + pslld $7,%xmm12 + por %xmm7,%xmm15 + psrld $25,%xmm6 + movdqa (%r9),%xmm7 + por %xmm6,%xmm12 + decl %eax + jnz L$oop4x + + paddd 64(%rsp),%xmm8 + paddd 80(%rsp),%xmm9 + paddd 96(%rsp),%xmm10 + paddd 112(%rsp),%xmm11 + + movdqa %xmm8,%xmm6 + punpckldq %xmm9,%xmm8 + movdqa %xmm10,%xmm7 + punpckldq %xmm11,%xmm10 + punpckhdq %xmm9,%xmm6 + punpckhdq %xmm11,%xmm7 + movdqa %xmm8,%xmm9 + punpcklqdq %xmm10,%xmm8 + movdqa %xmm6,%xmm11 + punpcklqdq %xmm7,%xmm6 + punpckhqdq %xmm10,%xmm9 + punpckhqdq %xmm7,%xmm11 + paddd 128-256(%rcx),%xmm12 + paddd 144-256(%rcx),%xmm13 + paddd 160-256(%rcx),%xmm14 + paddd 176-256(%rcx),%xmm15 + + movdqa %xmm8,0(%rsp) + movdqa %xmm9,16(%rsp) + movdqa 32(%rsp),%xmm8 + movdqa 48(%rsp),%xmm9 + + movdqa %xmm12,%xmm10 + punpckldq %xmm13,%xmm12 + movdqa %xmm14,%xmm7 + punpckldq %xmm15,%xmm14 + punpckhdq %xmm13,%xmm10 + punpckhdq %xmm15,%xmm7 + movdqa %xmm12,%xmm13 + punpcklqdq %xmm14,%xmm12 + movdqa %xmm10,%xmm15 + punpcklqdq %xmm7,%xmm10 + punpckhqdq %xmm14,%xmm13 + punpckhqdq %xmm7,%xmm15 + paddd 192-256(%rcx),%xmm4 + paddd 208-256(%rcx),%xmm5 + paddd 224-256(%rcx),%xmm8 + paddd 240-256(%rcx),%xmm9 + + movdqa %xmm6,32(%rsp) + movdqa %xmm11,48(%rsp) + + movdqa %xmm4,%xmm14 + punpckldq %xmm5,%xmm4 + movdqa %xmm8,%xmm7 + punpckldq %xmm9,%xmm8 + punpckhdq %xmm5,%xmm14 + punpckhdq %xmm9,%xmm7 + movdqa %xmm4,%xmm5 + punpcklqdq %xmm8,%xmm4 + movdqa %xmm14,%xmm9 + punpcklqdq %xmm7,%xmm14 + punpckhqdq %xmm8,%xmm5 + punpckhqdq %xmm7,%xmm9 + paddd 256-256(%rcx),%xmm0 + paddd 272-256(%rcx),%xmm1 + paddd 288-256(%rcx),%xmm2 + paddd 304-256(%rcx),%xmm3 + + movdqa %xmm0,%xmm8 + punpckldq %xmm1,%xmm0 + movdqa %xmm2,%xmm7 + punpckldq %xmm3,%xmm2 + punpckhdq %xmm1,%xmm8 + punpckhdq %xmm3,%xmm7 + movdqa %xmm0,%xmm1 + punpcklqdq %xmm2,%xmm0 + movdqa %xmm8,%xmm3 + punpcklqdq %xmm7,%xmm8 + punpckhqdq %xmm2,%xmm1 + punpckhqdq %xmm7,%xmm3 + cmpq $256,%rdx + jb L$tail4x + + movdqu 0(%rsi),%xmm6 + movdqu 16(%rsi),%xmm11 + movdqu 32(%rsi),%xmm2 + movdqu 48(%rsi),%xmm7 + pxor 0(%rsp),%xmm6 + pxor %xmm12,%xmm11 + pxor %xmm4,%xmm2 + pxor %xmm0,%xmm7 + + movdqu %xmm6,0(%rdi) + movdqu 64(%rsi),%xmm6 + movdqu %xmm11,16(%rdi) + movdqu 80(%rsi),%xmm11 + movdqu %xmm2,32(%rdi) + movdqu 96(%rsi),%xmm2 + movdqu %xmm7,48(%rdi) + movdqu 112(%rsi),%xmm7 + leaq 128(%rsi),%rsi + pxor 16(%rsp),%xmm6 + pxor %xmm13,%xmm11 + pxor %xmm5,%xmm2 + pxor %xmm1,%xmm7 + + movdqu %xmm6,64(%rdi) + movdqu 0(%rsi),%xmm6 + movdqu %xmm11,80(%rdi) + movdqu 16(%rsi),%xmm11 + movdqu %xmm2,96(%rdi) + movdqu 32(%rsi),%xmm2 + movdqu %xmm7,112(%rdi) + leaq 128(%rdi),%rdi + movdqu 48(%rsi),%xmm7 + pxor 32(%rsp),%xmm6 + pxor %xmm10,%xmm11 + pxor %xmm14,%xmm2 + pxor %xmm8,%xmm7 + + movdqu %xmm6,0(%rdi) + movdqu 64(%rsi),%xmm6 + movdqu %xmm11,16(%rdi) + movdqu 80(%rsi),%xmm11 + movdqu %xmm2,32(%rdi) + movdqu 96(%rsi),%xmm2 + movdqu %xmm7,48(%rdi) + movdqu 112(%rsi),%xmm7 + leaq 128(%rsi),%rsi + pxor 48(%rsp),%xmm6 + pxor %xmm15,%xmm11 + pxor %xmm9,%xmm2 + pxor %xmm3,%xmm7 + movdqu %xmm6,64(%rdi) + movdqu %xmm11,80(%rdi) + movdqu %xmm2,96(%rdi) + movdqu %xmm7,112(%rdi) + leaq 128(%rdi),%rdi + + subq $256,%rdx + jnz L$oop_outer4x + + jmp L$done4x + +L$tail4x: + cmpq $192,%rdx + jae L$192_or_more4x + cmpq $128,%rdx + jae L$128_or_more4x + cmpq $64,%rdx + jae L$64_or_more4x + + + xorq %r9,%r9 + + movdqa %xmm12,16(%rsp) + movdqa %xmm4,32(%rsp) + movdqa %xmm0,48(%rsp) + jmp L$oop_tail4x + +.p2align 5 +L$64_or_more4x: + movdqu 0(%rsi),%xmm6 + movdqu 16(%rsi),%xmm11 + movdqu 32(%rsi),%xmm2 + movdqu 48(%rsi),%xmm7 + pxor 0(%rsp),%xmm6 + pxor %xmm12,%xmm11 + pxor %xmm4,%xmm2 + pxor %xmm0,%xmm7 + movdqu %xmm6,0(%rdi) + movdqu %xmm11,16(%rdi) + movdqu %xmm2,32(%rdi) + movdqu %xmm7,48(%rdi) + je L$done4x + + movdqa 16(%rsp),%xmm6 + leaq 64(%rsi),%rsi + xorq %r9,%r9 + movdqa %xmm6,0(%rsp) + movdqa %xmm13,16(%rsp) + leaq 64(%rdi),%rdi + movdqa %xmm5,32(%rsp) + subq $64,%rdx + movdqa %xmm1,48(%rsp) + jmp L$oop_tail4x + +.p2align 5 +L$128_or_more4x: + movdqu 0(%rsi),%xmm6 + movdqu 16(%rsi),%xmm11 + movdqu 32(%rsi),%xmm2 + movdqu 48(%rsi),%xmm7 + pxor 0(%rsp),%xmm6 + pxor %xmm12,%xmm11 + pxor %xmm4,%xmm2 + pxor %xmm0,%xmm7 + + movdqu %xmm6,0(%rdi) + movdqu 64(%rsi),%xmm6 + movdqu %xmm11,16(%rdi) + movdqu 80(%rsi),%xmm11 + movdqu %xmm2,32(%rdi) + movdqu 96(%rsi),%xmm2 + movdqu %xmm7,48(%rdi) + movdqu 112(%rsi),%xmm7 + pxor 16(%rsp),%xmm6 + pxor %xmm13,%xmm11 + pxor %xmm5,%xmm2 + pxor %xmm1,%xmm7 + movdqu %xmm6,64(%rdi) + movdqu %xmm11,80(%rdi) + movdqu %xmm2,96(%rdi) + movdqu %xmm7,112(%rdi) + je L$done4x + + movdqa 32(%rsp),%xmm6 + leaq 128(%rsi),%rsi + xorq %r9,%r9 + movdqa %xmm6,0(%rsp) + movdqa %xmm10,16(%rsp) + leaq 128(%rdi),%rdi + movdqa %xmm14,32(%rsp) + subq $128,%rdx + movdqa %xmm8,48(%rsp) + jmp L$oop_tail4x + +.p2align 5 +L$192_or_more4x: + movdqu 0(%rsi),%xmm6 + movdqu 16(%rsi),%xmm11 + movdqu 32(%rsi),%xmm2 + movdqu 48(%rsi),%xmm7 + pxor 0(%rsp),%xmm6 + pxor %xmm12,%xmm11 + pxor %xmm4,%xmm2 + pxor %xmm0,%xmm7 + + movdqu %xmm6,0(%rdi) + movdqu 64(%rsi),%xmm6 + movdqu %xmm11,16(%rdi) + movdqu 80(%rsi),%xmm11 + movdqu %xmm2,32(%rdi) + movdqu 96(%rsi),%xmm2 + movdqu %xmm7,48(%rdi) + movdqu 112(%rsi),%xmm7 + leaq 128(%rsi),%rsi + pxor 16(%rsp),%xmm6 + pxor %xmm13,%xmm11 + pxor %xmm5,%xmm2 + pxor %xmm1,%xmm7 + + movdqu %xmm6,64(%rdi) + movdqu 0(%rsi),%xmm6 + movdqu %xmm11,80(%rdi) + movdqu 16(%rsi),%xmm11 + movdqu %xmm2,96(%rdi) + movdqu 32(%rsi),%xmm2 + movdqu %xmm7,112(%rdi) + leaq 128(%rdi),%rdi + movdqu 48(%rsi),%xmm7 + pxor 32(%rsp),%xmm6 + pxor %xmm10,%xmm11 + pxor %xmm14,%xmm2 + pxor %xmm8,%xmm7 + movdqu %xmm6,0(%rdi) + movdqu %xmm11,16(%rdi) + movdqu %xmm2,32(%rdi) + movdqu %xmm7,48(%rdi) + je L$done4x + + movdqa 48(%rsp),%xmm6 + leaq 64(%rsi),%rsi + xorq %r9,%r9 + movdqa %xmm6,0(%rsp) + movdqa %xmm15,16(%rsp) + leaq 64(%rdi),%rdi + movdqa %xmm9,32(%rsp) + subq $192,%rdx + movdqa %xmm3,48(%rsp) + +L$oop_tail4x: + movzbl (%rsi,%r9,1),%eax + movzbl (%rsp,%r9,1),%ecx + leaq 1(%r9),%r9 + xorl %ecx,%eax + movb %al,-1(%rdi,%r9,1) + decq %rdx + jnz L$oop_tail4x + +L$done4x: + leaq (%r10),%rsp +.cfi_def_cfa_register %rsp +L$4x_epilogue: + .byte 0xf3,0xc3 +.cfi_endproc + + +.p2align 5 +crypton_chacha20_asm_4xop: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + +L$crypton_chacha20_asm_4xop: + movq %rsp,%r10 +.cfi_def_cfa_register %r10 + subq $0x140+8,%rsp + andq $-16,%rsp + vzeroupper + + vmovdqa L$sigma(%rip),%xmm11 + vmovdqu (%rcx),%xmm3 + vmovdqu 16(%rcx),%xmm15 + vmovdqu (%r8),%xmm7 + leaq 256(%rsp),%rcx + + vpshufd $0x00,%xmm11,%xmm8 + vpshufd $0x55,%xmm11,%xmm9 + vmovdqa %xmm8,64(%rsp) + vpshufd $0xaa,%xmm11,%xmm10 + vmovdqa %xmm9,80(%rsp) + vpshufd $0xff,%xmm11,%xmm11 + vmovdqa %xmm10,96(%rsp) + vmovdqa %xmm11,112(%rsp) + + vpshufd $0x00,%xmm3,%xmm0 + vpshufd $0x55,%xmm3,%xmm1 + vmovdqa %xmm0,128-256(%rcx) + vpshufd $0xaa,%xmm3,%xmm2 + vmovdqa %xmm1,144-256(%rcx) + vpshufd $0xff,%xmm3,%xmm3 + vmovdqa %xmm2,160-256(%rcx) + vmovdqa %xmm3,176-256(%rcx) + + vpshufd $0x00,%xmm15,%xmm12 + vpshufd $0x55,%xmm15,%xmm13 + vmovdqa %xmm12,192-256(%rcx) + vpshufd $0xaa,%xmm15,%xmm14 + vmovdqa %xmm13,208-256(%rcx) + vpshufd $0xff,%xmm15,%xmm15 + vmovdqa %xmm14,224-256(%rcx) + vmovdqa %xmm15,240-256(%rcx) + + vpshufd $0x00,%xmm7,%xmm4 + vpshufd $0x55,%xmm7,%xmm5 + vpaddd L$inc(%rip),%xmm4,%xmm4 + vpshufd $0xaa,%xmm7,%xmm6 + vmovdqa %xmm5,272-256(%rcx) + vpshufd $0xff,%xmm7,%xmm7 + vmovdqa %xmm6,288-256(%rcx) + vmovdqa %xmm7,304-256(%rcx) + + jmp L$oop_enter4xop + +.p2align 5 +L$oop_outer4xop: + vmovdqa 64(%rsp),%xmm8 + vmovdqa 80(%rsp),%xmm9 + vmovdqa 96(%rsp),%xmm10 + vmovdqa 112(%rsp),%xmm11 + vmovdqa 128-256(%rcx),%xmm0 + vmovdqa 144-256(%rcx),%xmm1 + vmovdqa 160-256(%rcx),%xmm2 + vmovdqa 176-256(%rcx),%xmm3 + vmovdqa 192-256(%rcx),%xmm12 + vmovdqa 208-256(%rcx),%xmm13 + vmovdqa 224-256(%rcx),%xmm14 + vmovdqa 240-256(%rcx),%xmm15 + vmovdqa 256-256(%rcx),%xmm4 + vmovdqa 272-256(%rcx),%xmm5 + vmovdqa 288-256(%rcx),%xmm6 + vmovdqa 304-256(%rcx),%xmm7 + vpaddd L$four(%rip),%xmm4,%xmm4 + +L$oop_enter4xop: + movl $10,%eax + vmovdqa %xmm4,256-256(%rcx) + jmp L$oop4xop + +.p2align 5 +L$oop4xop: + vpaddd %xmm0,%xmm8,%xmm8 + vpaddd %xmm1,%xmm9,%xmm9 + vpaddd %xmm2,%xmm10,%xmm10 + vpaddd %xmm3,%xmm11,%xmm11 + vpxor %xmm4,%xmm8,%xmm4 + vpxor %xmm5,%xmm9,%xmm5 + vpxor %xmm6,%xmm10,%xmm6 + vpxor %xmm7,%xmm11,%xmm7 +.byte 143,232,120,194,228,16 +.byte 143,232,120,194,237,16 +.byte 143,232,120,194,246,16 +.byte 143,232,120,194,255,16 + vpaddd %xmm4,%xmm12,%xmm12 + vpaddd %xmm5,%xmm13,%xmm13 + vpaddd %xmm6,%xmm14,%xmm14 + vpaddd %xmm7,%xmm15,%xmm15 + vpxor %xmm0,%xmm12,%xmm0 + vpxor %xmm1,%xmm13,%xmm1 + vpxor %xmm14,%xmm2,%xmm2 + vpxor %xmm15,%xmm3,%xmm3 +.byte 143,232,120,194,192,12 +.byte 143,232,120,194,201,12 +.byte 143,232,120,194,210,12 +.byte 143,232,120,194,219,12 + vpaddd %xmm8,%xmm0,%xmm8 + vpaddd %xmm9,%xmm1,%xmm9 + vpaddd %xmm2,%xmm10,%xmm10 + vpaddd %xmm3,%xmm11,%xmm11 + vpxor %xmm4,%xmm8,%xmm4 + vpxor %xmm5,%xmm9,%xmm5 + vpxor %xmm6,%xmm10,%xmm6 + vpxor %xmm7,%xmm11,%xmm7 +.byte 143,232,120,194,228,8 +.byte 143,232,120,194,237,8 +.byte 143,232,120,194,246,8 +.byte 143,232,120,194,255,8 + vpaddd %xmm4,%xmm12,%xmm12 + vpaddd %xmm5,%xmm13,%xmm13 + vpaddd %xmm6,%xmm14,%xmm14 + vpaddd %xmm7,%xmm15,%xmm15 + vpxor %xmm0,%xmm12,%xmm0 + vpxor %xmm1,%xmm13,%xmm1 + vpxor %xmm14,%xmm2,%xmm2 + vpxor %xmm15,%xmm3,%xmm3 +.byte 143,232,120,194,192,7 +.byte 143,232,120,194,201,7 +.byte 143,232,120,194,210,7 +.byte 143,232,120,194,219,7 + vpaddd %xmm1,%xmm8,%xmm8 + vpaddd %xmm2,%xmm9,%xmm9 + vpaddd %xmm3,%xmm10,%xmm10 + vpaddd %xmm0,%xmm11,%xmm11 + vpxor %xmm7,%xmm8,%xmm7 + vpxor %xmm4,%xmm9,%xmm4 + vpxor %xmm5,%xmm10,%xmm5 + vpxor %xmm6,%xmm11,%xmm6 +.byte 143,232,120,194,255,16 +.byte 143,232,120,194,228,16 +.byte 143,232,120,194,237,16 +.byte 143,232,120,194,246,16 + vpaddd %xmm7,%xmm14,%xmm14 + vpaddd %xmm4,%xmm15,%xmm15 + vpaddd %xmm5,%xmm12,%xmm12 + vpaddd %xmm6,%xmm13,%xmm13 + vpxor %xmm1,%xmm14,%xmm1 + vpxor %xmm2,%xmm15,%xmm2 + vpxor %xmm12,%xmm3,%xmm3 + vpxor %xmm13,%xmm0,%xmm0 +.byte 143,232,120,194,201,12 +.byte 143,232,120,194,210,12 +.byte 143,232,120,194,219,12 +.byte 143,232,120,194,192,12 + vpaddd %xmm8,%xmm1,%xmm8 + vpaddd %xmm9,%xmm2,%xmm9 + vpaddd %xmm3,%xmm10,%xmm10 + vpaddd %xmm0,%xmm11,%xmm11 + vpxor %xmm7,%xmm8,%xmm7 + vpxor %xmm4,%xmm9,%xmm4 + vpxor %xmm5,%xmm10,%xmm5 + vpxor %xmm6,%xmm11,%xmm6 +.byte 143,232,120,194,255,8 +.byte 143,232,120,194,228,8 +.byte 143,232,120,194,237,8 +.byte 143,232,120,194,246,8 + vpaddd %xmm7,%xmm14,%xmm14 + vpaddd %xmm4,%xmm15,%xmm15 + vpaddd %xmm5,%xmm12,%xmm12 + vpaddd %xmm6,%xmm13,%xmm13 + vpxor %xmm1,%xmm14,%xmm1 + vpxor %xmm2,%xmm15,%xmm2 + vpxor %xmm12,%xmm3,%xmm3 + vpxor %xmm13,%xmm0,%xmm0 +.byte 143,232,120,194,201,7 +.byte 143,232,120,194,210,7 +.byte 143,232,120,194,219,7 +.byte 143,232,120,194,192,7 + decl %eax + jnz L$oop4xop + + vpaddd 64(%rsp),%xmm8,%xmm8 + vpaddd 80(%rsp),%xmm9,%xmm9 + vpaddd 96(%rsp),%xmm10,%xmm10 + vpaddd 112(%rsp),%xmm11,%xmm11 + + vmovdqa %xmm14,32(%rsp) + vmovdqa %xmm15,48(%rsp) + + vpunpckldq %xmm9,%xmm8,%xmm14 + vpunpckldq %xmm11,%xmm10,%xmm15 + vpunpckhdq %xmm9,%xmm8,%xmm8 + vpunpckhdq %xmm11,%xmm10,%xmm10 + vpunpcklqdq %xmm15,%xmm14,%xmm9 + vpunpckhqdq %xmm15,%xmm14,%xmm14 + vpunpcklqdq %xmm10,%xmm8,%xmm11 + vpunpckhqdq %xmm10,%xmm8,%xmm8 + vpaddd 128-256(%rcx),%xmm0,%xmm0 + vpaddd 144-256(%rcx),%xmm1,%xmm1 + vpaddd 160-256(%rcx),%xmm2,%xmm2 + vpaddd 176-256(%rcx),%xmm3,%xmm3 + + vmovdqa %xmm9,0(%rsp) + vmovdqa %xmm14,16(%rsp) + vmovdqa 32(%rsp),%xmm9 + vmovdqa 48(%rsp),%xmm14 + + vpunpckldq %xmm1,%xmm0,%xmm10 + vpunpckldq %xmm3,%xmm2,%xmm15 + vpunpckhdq %xmm1,%xmm0,%xmm0 + vpunpckhdq %xmm3,%xmm2,%xmm2 + vpunpcklqdq %xmm15,%xmm10,%xmm1 + vpunpckhqdq %xmm15,%xmm10,%xmm10 + vpunpcklqdq %xmm2,%xmm0,%xmm3 + vpunpckhqdq %xmm2,%xmm0,%xmm0 + vpaddd 192-256(%rcx),%xmm12,%xmm12 + vpaddd 208-256(%rcx),%xmm13,%xmm13 + vpaddd 224-256(%rcx),%xmm9,%xmm9 + vpaddd 240-256(%rcx),%xmm14,%xmm14 + + vpunpckldq %xmm13,%xmm12,%xmm2 + vpunpckldq %xmm14,%xmm9,%xmm15 + vpunpckhdq %xmm13,%xmm12,%xmm12 + vpunpckhdq %xmm14,%xmm9,%xmm9 + vpunpcklqdq %xmm15,%xmm2,%xmm13 + vpunpckhqdq %xmm15,%xmm2,%xmm2 + vpunpcklqdq %xmm9,%xmm12,%xmm14 + vpunpckhqdq %xmm9,%xmm12,%xmm12 + vpaddd 256-256(%rcx),%xmm4,%xmm4 + vpaddd 272-256(%rcx),%xmm5,%xmm5 + vpaddd 288-256(%rcx),%xmm6,%xmm6 + vpaddd 304-256(%rcx),%xmm7,%xmm7 + + vpunpckldq %xmm5,%xmm4,%xmm9 + vpunpckldq %xmm7,%xmm6,%xmm15 + vpunpckhdq %xmm5,%xmm4,%xmm4 + vpunpckhdq %xmm7,%xmm6,%xmm6 + vpunpcklqdq %xmm15,%xmm9,%xmm5 + vpunpckhqdq %xmm15,%xmm9,%xmm9 + vpunpcklqdq %xmm6,%xmm4,%xmm7 + vpunpckhqdq %xmm6,%xmm4,%xmm4 + vmovdqa 0(%rsp),%xmm6 + vmovdqa 16(%rsp),%xmm15 + + cmpq $256,%rdx + jb L$tail4xop + + vpxor 0(%rsi),%xmm6,%xmm6 + vpxor 16(%rsi),%xmm1,%xmm1 + vpxor 32(%rsi),%xmm13,%xmm13 + vpxor 48(%rsi),%xmm5,%xmm5 + vpxor 64(%rsi),%xmm15,%xmm15 + vpxor 80(%rsi),%xmm10,%xmm10 + vpxor 96(%rsi),%xmm2,%xmm2 + vpxor 112(%rsi),%xmm9,%xmm9 + leaq 128(%rsi),%rsi + vpxor 0(%rsi),%xmm11,%xmm11 + vpxor 16(%rsi),%xmm3,%xmm3 + vpxor 32(%rsi),%xmm14,%xmm14 + vpxor 48(%rsi),%xmm7,%xmm7 + vpxor 64(%rsi),%xmm8,%xmm8 + vpxor 80(%rsi),%xmm0,%xmm0 + vpxor 96(%rsi),%xmm12,%xmm12 + vpxor 112(%rsi),%xmm4,%xmm4 + leaq 128(%rsi),%rsi + + vmovdqu %xmm6,0(%rdi) + vmovdqu %xmm1,16(%rdi) + vmovdqu %xmm13,32(%rdi) + vmovdqu %xmm5,48(%rdi) + vmovdqu %xmm15,64(%rdi) + vmovdqu %xmm10,80(%rdi) + vmovdqu %xmm2,96(%rdi) + vmovdqu %xmm9,112(%rdi) + leaq 128(%rdi),%rdi + vmovdqu %xmm11,0(%rdi) + vmovdqu %xmm3,16(%rdi) + vmovdqu %xmm14,32(%rdi) + vmovdqu %xmm7,48(%rdi) + vmovdqu %xmm8,64(%rdi) + vmovdqu %xmm0,80(%rdi) + vmovdqu %xmm12,96(%rdi) + vmovdqu %xmm4,112(%rdi) + leaq 128(%rdi),%rdi + + subq $256,%rdx + jnz L$oop_outer4xop + + jmp L$done4xop + +.p2align 5 +L$tail4xop: + cmpq $192,%rdx + jae L$192_or_more4xop + cmpq $128,%rdx + jae L$128_or_more4xop + cmpq $64,%rdx + jae L$64_or_more4xop + + xorq %r9,%r9 + vmovdqa %xmm6,0(%rsp) + vmovdqa %xmm1,16(%rsp) + vmovdqa %xmm13,32(%rsp) + vmovdqa %xmm5,48(%rsp) + jmp L$oop_tail4xop + +.p2align 5 +L$64_or_more4xop: + vpxor 0(%rsi),%xmm6,%xmm6 + vpxor 16(%rsi),%xmm1,%xmm1 + vpxor 32(%rsi),%xmm13,%xmm13 + vpxor 48(%rsi),%xmm5,%xmm5 + vmovdqu %xmm6,0(%rdi) + vmovdqu %xmm1,16(%rdi) + vmovdqu %xmm13,32(%rdi) + vmovdqu %xmm5,48(%rdi) + je L$done4xop + + leaq 64(%rsi),%rsi + vmovdqa %xmm15,0(%rsp) + xorq %r9,%r9 + vmovdqa %xmm10,16(%rsp) + leaq 64(%rdi),%rdi + vmovdqa %xmm2,32(%rsp) + subq $64,%rdx + vmovdqa %xmm9,48(%rsp) + jmp L$oop_tail4xop + +.p2align 5 +L$128_or_more4xop: + vpxor 0(%rsi),%xmm6,%xmm6 + vpxor 16(%rsi),%xmm1,%xmm1 + vpxor 32(%rsi),%xmm13,%xmm13 + vpxor 48(%rsi),%xmm5,%xmm5 + vpxor 64(%rsi),%xmm15,%xmm15 + vpxor 80(%rsi),%xmm10,%xmm10 + vpxor 96(%rsi),%xmm2,%xmm2 + vpxor 112(%rsi),%xmm9,%xmm9 + + vmovdqu %xmm6,0(%rdi) + vmovdqu %xmm1,16(%rdi) + vmovdqu %xmm13,32(%rdi) + vmovdqu %xmm5,48(%rdi) + vmovdqu %xmm15,64(%rdi) + vmovdqu %xmm10,80(%rdi) + vmovdqu %xmm2,96(%rdi) + vmovdqu %xmm9,112(%rdi) + je L$done4xop + + leaq 128(%rsi),%rsi + vmovdqa %xmm11,0(%rsp) + xorq %r9,%r9 + vmovdqa %xmm3,16(%rsp) + leaq 128(%rdi),%rdi + vmovdqa %xmm14,32(%rsp) + subq $128,%rdx + vmovdqa %xmm7,48(%rsp) + jmp L$oop_tail4xop + +.p2align 5 +L$192_or_more4xop: + vpxor 0(%rsi),%xmm6,%xmm6 + vpxor 16(%rsi),%xmm1,%xmm1 + vpxor 32(%rsi),%xmm13,%xmm13 + vpxor 48(%rsi),%xmm5,%xmm5 + vpxor 64(%rsi),%xmm15,%xmm15 + vpxor 80(%rsi),%xmm10,%xmm10 + vpxor 96(%rsi),%xmm2,%xmm2 + vpxor 112(%rsi),%xmm9,%xmm9 + leaq 128(%rsi),%rsi + vpxor 0(%rsi),%xmm11,%xmm11 + vpxor 16(%rsi),%xmm3,%xmm3 + vpxor 32(%rsi),%xmm14,%xmm14 + vpxor 48(%rsi),%xmm7,%xmm7 + + vmovdqu %xmm6,0(%rdi) + vmovdqu %xmm1,16(%rdi) + vmovdqu %xmm13,32(%rdi) + vmovdqu %xmm5,48(%rdi) + vmovdqu %xmm15,64(%rdi) + vmovdqu %xmm10,80(%rdi) + vmovdqu %xmm2,96(%rdi) + vmovdqu %xmm9,112(%rdi) + leaq 128(%rdi),%rdi + vmovdqu %xmm11,0(%rdi) + vmovdqu %xmm3,16(%rdi) + vmovdqu %xmm14,32(%rdi) + vmovdqu %xmm7,48(%rdi) + je L$done4xop + + leaq 64(%rsi),%rsi + vmovdqa %xmm8,0(%rsp) + xorq %r9,%r9 + vmovdqa %xmm0,16(%rsp) + leaq 64(%rdi),%rdi + vmovdqa %xmm12,32(%rsp) + subq $192,%rdx + vmovdqa %xmm4,48(%rsp) + +L$oop_tail4xop: + movzbl (%rsi,%r9,1),%eax + movzbl (%rsp,%r9,1),%ecx + leaq 1(%r9),%r9 + xorl %ecx,%eax + movb %al,-1(%rdi,%r9,1) + decq %rdx + jnz L$oop_tail4xop + +L$done4xop: + vzeroupper + leaq (%r10),%rsp +.cfi_def_cfa_register %rsp +L$4xop_epilogue: + .byte 0xf3,0xc3 +.cfi_endproc + + +.p2align 5 +crypton_chacha20_asm_avx2: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + +L$crypton_chacha20_asm_8x: + movq %rsp,%r10 +.cfi_def_cfa_register %r10 + subq $0x280+8,%rsp + andq $-32,%rsp + vzeroupper + + + + + + + + + + + vbroadcasti128 L$sigma(%rip),%ymm11 + vbroadcasti128 (%rcx),%ymm3 + vbroadcasti128 16(%rcx),%ymm15 + vbroadcasti128 (%r8),%ymm7 + leaq 256(%rsp),%rcx + leaq 512(%rsp),%rax + leaq L$rot16(%rip),%r9 + leaq L$rot24(%rip),%r11 + + vpshufd $0x00,%ymm11,%ymm8 + vpshufd $0x55,%ymm11,%ymm9 + vmovdqa %ymm8,128-256(%rcx) + vpshufd $0xaa,%ymm11,%ymm10 + vmovdqa %ymm9,160-256(%rcx) + vpshufd $0xff,%ymm11,%ymm11 + vmovdqa %ymm10,192-256(%rcx) + vmovdqa %ymm11,224-256(%rcx) + + vpshufd $0x00,%ymm3,%ymm0 + vpshufd $0x55,%ymm3,%ymm1 + vmovdqa %ymm0,256-256(%rcx) + vpshufd $0xaa,%ymm3,%ymm2 + vmovdqa %ymm1,288-256(%rcx) + vpshufd $0xff,%ymm3,%ymm3 + vmovdqa %ymm2,320-256(%rcx) + vmovdqa %ymm3,352-256(%rcx) + + vpshufd $0x00,%ymm15,%ymm12 + vpshufd $0x55,%ymm15,%ymm13 + vmovdqa %ymm12,384-512(%rax) + vpshufd $0xaa,%ymm15,%ymm14 + vmovdqa %ymm13,416-512(%rax) + vpshufd $0xff,%ymm15,%ymm15 + vmovdqa %ymm14,448-512(%rax) + vmovdqa %ymm15,480-512(%rax) + + vpshufd $0x00,%ymm7,%ymm4 + vpshufd $0x55,%ymm7,%ymm5 + vpaddd L$incy(%rip),%ymm4,%ymm4 + vpshufd $0xaa,%ymm7,%ymm6 + vmovdqa %ymm5,544-512(%rax) + vpshufd $0xff,%ymm7,%ymm7 + vmovdqa %ymm6,576-512(%rax) + vmovdqa %ymm7,608-512(%rax) + + jmp L$oop_enter8x + +.p2align 5 +L$oop_outer8x: + vmovdqa 128-256(%rcx),%ymm8 + vmovdqa 160-256(%rcx),%ymm9 + vmovdqa 192-256(%rcx),%ymm10 + vmovdqa 224-256(%rcx),%ymm11 + vmovdqa 256-256(%rcx),%ymm0 + vmovdqa 288-256(%rcx),%ymm1 + vmovdqa 320-256(%rcx),%ymm2 + vmovdqa 352-256(%rcx),%ymm3 + vmovdqa 384-512(%rax),%ymm12 + vmovdqa 416-512(%rax),%ymm13 + vmovdqa 448-512(%rax),%ymm14 + vmovdqa 480-512(%rax),%ymm15 + vmovdqa 512-512(%rax),%ymm4 + vmovdqa 544-512(%rax),%ymm5 + vmovdqa 576-512(%rax),%ymm6 + vmovdqa 608-512(%rax),%ymm7 + vpaddd L$eight(%rip),%ymm4,%ymm4 + +L$oop_enter8x: + vmovdqa %ymm14,64(%rsp) + vmovdqa %ymm15,96(%rsp) + vbroadcasti128 (%r9),%ymm15 + vmovdqa %ymm4,512-512(%rax) + movl $10,%eax + jmp L$oop8x + +.p2align 5 +L$oop8x: + vpaddd %ymm0,%ymm8,%ymm8 + vpxor %ymm4,%ymm8,%ymm4 + vpshufb %ymm15,%ymm4,%ymm4 + vpaddd %ymm1,%ymm9,%ymm9 + vpxor %ymm5,%ymm9,%ymm5 + vpshufb %ymm15,%ymm5,%ymm5 + vpaddd %ymm4,%ymm12,%ymm12 + vpxor %ymm0,%ymm12,%ymm0 + vpslld $12,%ymm0,%ymm14 + vpsrld $20,%ymm0,%ymm0 + vpor %ymm0,%ymm14,%ymm0 + vbroadcasti128 (%r11),%ymm14 + vpaddd %ymm5,%ymm13,%ymm13 + vpxor %ymm1,%ymm13,%ymm1 + vpslld $12,%ymm1,%ymm15 + vpsrld $20,%ymm1,%ymm1 + vpor %ymm1,%ymm15,%ymm1 + vpaddd %ymm0,%ymm8,%ymm8 + vpxor %ymm4,%ymm8,%ymm4 + vpshufb %ymm14,%ymm4,%ymm4 + vpaddd %ymm1,%ymm9,%ymm9 + vpxor %ymm5,%ymm9,%ymm5 + vpshufb %ymm14,%ymm5,%ymm5 + vpaddd %ymm4,%ymm12,%ymm12 + vpxor %ymm0,%ymm12,%ymm0 + vpslld $7,%ymm0,%ymm15 + vpsrld $25,%ymm0,%ymm0 + vpor %ymm0,%ymm15,%ymm0 + vbroadcasti128 (%r9),%ymm15 + vpaddd %ymm5,%ymm13,%ymm13 + vpxor %ymm1,%ymm13,%ymm1 + vpslld $7,%ymm1,%ymm14 + vpsrld $25,%ymm1,%ymm1 + vpor %ymm1,%ymm14,%ymm1 + vmovdqa %ymm12,0(%rsp) + vmovdqa %ymm13,32(%rsp) + vmovdqa 64(%rsp),%ymm12 + vmovdqa 96(%rsp),%ymm13 + vpaddd %ymm2,%ymm10,%ymm10 + vpxor %ymm6,%ymm10,%ymm6 + vpshufb %ymm15,%ymm6,%ymm6 + vpaddd %ymm3,%ymm11,%ymm11 + vpxor %ymm7,%ymm11,%ymm7 + vpshufb %ymm15,%ymm7,%ymm7 + vpaddd %ymm6,%ymm12,%ymm12 + vpxor %ymm2,%ymm12,%ymm2 + vpslld $12,%ymm2,%ymm14 + vpsrld $20,%ymm2,%ymm2 + vpor %ymm2,%ymm14,%ymm2 + vbroadcasti128 (%r11),%ymm14 + vpaddd %ymm7,%ymm13,%ymm13 + vpxor %ymm3,%ymm13,%ymm3 + vpslld $12,%ymm3,%ymm15 + vpsrld $20,%ymm3,%ymm3 + vpor %ymm3,%ymm15,%ymm3 + vpaddd %ymm2,%ymm10,%ymm10 + vpxor %ymm6,%ymm10,%ymm6 + vpshufb %ymm14,%ymm6,%ymm6 + vpaddd %ymm3,%ymm11,%ymm11 + vpxor %ymm7,%ymm11,%ymm7 + vpshufb %ymm14,%ymm7,%ymm7 + vpaddd %ymm6,%ymm12,%ymm12 + vpxor %ymm2,%ymm12,%ymm2 + vpslld $7,%ymm2,%ymm15 + vpsrld $25,%ymm2,%ymm2 + vpor %ymm2,%ymm15,%ymm2 + vbroadcasti128 (%r9),%ymm15 + vpaddd %ymm7,%ymm13,%ymm13 + vpxor %ymm3,%ymm13,%ymm3 + vpslld $7,%ymm3,%ymm14 + vpsrld $25,%ymm3,%ymm3 + vpor %ymm3,%ymm14,%ymm3 + vpaddd %ymm1,%ymm8,%ymm8 + vpxor %ymm7,%ymm8,%ymm7 + vpshufb %ymm15,%ymm7,%ymm7 + vpaddd %ymm2,%ymm9,%ymm9 + vpxor %ymm4,%ymm9,%ymm4 + vpshufb %ymm15,%ymm4,%ymm4 + vpaddd %ymm7,%ymm12,%ymm12 + vpxor %ymm1,%ymm12,%ymm1 + vpslld $12,%ymm1,%ymm14 + vpsrld $20,%ymm1,%ymm1 + vpor %ymm1,%ymm14,%ymm1 + vbroadcasti128 (%r11),%ymm14 + vpaddd %ymm4,%ymm13,%ymm13 + vpxor %ymm2,%ymm13,%ymm2 + vpslld $12,%ymm2,%ymm15 + vpsrld $20,%ymm2,%ymm2 + vpor %ymm2,%ymm15,%ymm2 + vpaddd %ymm1,%ymm8,%ymm8 + vpxor %ymm7,%ymm8,%ymm7 + vpshufb %ymm14,%ymm7,%ymm7 + vpaddd %ymm2,%ymm9,%ymm9 + vpxor %ymm4,%ymm9,%ymm4 + vpshufb %ymm14,%ymm4,%ymm4 + vpaddd %ymm7,%ymm12,%ymm12 + vpxor %ymm1,%ymm12,%ymm1 + vpslld $7,%ymm1,%ymm15 + vpsrld $25,%ymm1,%ymm1 + vpor %ymm1,%ymm15,%ymm1 + vbroadcasti128 (%r9),%ymm15 + vpaddd %ymm4,%ymm13,%ymm13 + vpxor %ymm2,%ymm13,%ymm2 + vpslld $7,%ymm2,%ymm14 + vpsrld $25,%ymm2,%ymm2 + vpor %ymm2,%ymm14,%ymm2 + vmovdqa %ymm12,64(%rsp) + vmovdqa %ymm13,96(%rsp) + vmovdqa 0(%rsp),%ymm12 + vmovdqa 32(%rsp),%ymm13 + vpaddd %ymm3,%ymm10,%ymm10 + vpxor %ymm5,%ymm10,%ymm5 + vpshufb %ymm15,%ymm5,%ymm5 + vpaddd %ymm0,%ymm11,%ymm11 + vpxor %ymm6,%ymm11,%ymm6 + vpshufb %ymm15,%ymm6,%ymm6 + vpaddd %ymm5,%ymm12,%ymm12 + vpxor %ymm3,%ymm12,%ymm3 + vpslld $12,%ymm3,%ymm14 + vpsrld $20,%ymm3,%ymm3 + vpor %ymm3,%ymm14,%ymm3 + vbroadcasti128 (%r11),%ymm14 + vpaddd %ymm6,%ymm13,%ymm13 + vpxor %ymm0,%ymm13,%ymm0 + vpslld $12,%ymm0,%ymm15 + vpsrld $20,%ymm0,%ymm0 + vpor %ymm0,%ymm15,%ymm0 + vpaddd %ymm3,%ymm10,%ymm10 + vpxor %ymm5,%ymm10,%ymm5 + vpshufb %ymm14,%ymm5,%ymm5 + vpaddd %ymm0,%ymm11,%ymm11 + vpxor %ymm6,%ymm11,%ymm6 + vpshufb %ymm14,%ymm6,%ymm6 + vpaddd %ymm5,%ymm12,%ymm12 + vpxor %ymm3,%ymm12,%ymm3 + vpslld $7,%ymm3,%ymm15 + vpsrld $25,%ymm3,%ymm3 + vpor %ymm3,%ymm15,%ymm3 + vbroadcasti128 (%r9),%ymm15 + vpaddd %ymm6,%ymm13,%ymm13 + vpxor %ymm0,%ymm13,%ymm0 + vpslld $7,%ymm0,%ymm14 + vpsrld $25,%ymm0,%ymm0 + vpor %ymm0,%ymm14,%ymm0 + decl %eax + jnz L$oop8x + + leaq 512(%rsp),%rax + vpaddd 128-256(%rcx),%ymm8,%ymm8 + vpaddd 160-256(%rcx),%ymm9,%ymm9 + vpaddd 192-256(%rcx),%ymm10,%ymm10 + vpaddd 224-256(%rcx),%ymm11,%ymm11 + + vpunpckldq %ymm9,%ymm8,%ymm14 + vpunpckldq %ymm11,%ymm10,%ymm15 + vpunpckhdq %ymm9,%ymm8,%ymm8 + vpunpckhdq %ymm11,%ymm10,%ymm10 + vpunpcklqdq %ymm15,%ymm14,%ymm9 + vpunpckhqdq %ymm15,%ymm14,%ymm14 + vpunpcklqdq %ymm10,%ymm8,%ymm11 + vpunpckhqdq %ymm10,%ymm8,%ymm8 + vpaddd 256-256(%rcx),%ymm0,%ymm0 + vpaddd 288-256(%rcx),%ymm1,%ymm1 + vpaddd 320-256(%rcx),%ymm2,%ymm2 + vpaddd 352-256(%rcx),%ymm3,%ymm3 + + vpunpckldq %ymm1,%ymm0,%ymm10 + vpunpckldq %ymm3,%ymm2,%ymm15 + vpunpckhdq %ymm1,%ymm0,%ymm0 + vpunpckhdq %ymm3,%ymm2,%ymm2 + vpunpcklqdq %ymm15,%ymm10,%ymm1 + vpunpckhqdq %ymm15,%ymm10,%ymm10 + vpunpcklqdq %ymm2,%ymm0,%ymm3 + vpunpckhqdq %ymm2,%ymm0,%ymm0 + vperm2i128 $0x20,%ymm1,%ymm9,%ymm15 + vperm2i128 $0x31,%ymm1,%ymm9,%ymm1 + vperm2i128 $0x20,%ymm10,%ymm14,%ymm9 + vperm2i128 $0x31,%ymm10,%ymm14,%ymm10 + vperm2i128 $0x20,%ymm3,%ymm11,%ymm14 + vperm2i128 $0x31,%ymm3,%ymm11,%ymm3 + vperm2i128 $0x20,%ymm0,%ymm8,%ymm11 + vperm2i128 $0x31,%ymm0,%ymm8,%ymm0 + vmovdqa %ymm15,0(%rsp) + vmovdqa %ymm9,32(%rsp) + vmovdqa 64(%rsp),%ymm15 + vmovdqa 96(%rsp),%ymm9 + + vpaddd 384-512(%rax),%ymm12,%ymm12 + vpaddd 416-512(%rax),%ymm13,%ymm13 + vpaddd 448-512(%rax),%ymm15,%ymm15 + vpaddd 480-512(%rax),%ymm9,%ymm9 + + vpunpckldq %ymm13,%ymm12,%ymm2 + vpunpckldq %ymm9,%ymm15,%ymm8 + vpunpckhdq %ymm13,%ymm12,%ymm12 + vpunpckhdq %ymm9,%ymm15,%ymm15 + vpunpcklqdq %ymm8,%ymm2,%ymm13 + vpunpckhqdq %ymm8,%ymm2,%ymm2 + vpunpcklqdq %ymm15,%ymm12,%ymm9 + vpunpckhqdq %ymm15,%ymm12,%ymm12 + vpaddd 512-512(%rax),%ymm4,%ymm4 + vpaddd 544-512(%rax),%ymm5,%ymm5 + vpaddd 576-512(%rax),%ymm6,%ymm6 + vpaddd 608-512(%rax),%ymm7,%ymm7 + + vpunpckldq %ymm5,%ymm4,%ymm15 + vpunpckldq %ymm7,%ymm6,%ymm8 + vpunpckhdq %ymm5,%ymm4,%ymm4 + vpunpckhdq %ymm7,%ymm6,%ymm6 + vpunpcklqdq %ymm8,%ymm15,%ymm5 + vpunpckhqdq %ymm8,%ymm15,%ymm15 + vpunpcklqdq %ymm6,%ymm4,%ymm7 + vpunpckhqdq %ymm6,%ymm4,%ymm4 + vperm2i128 $0x20,%ymm5,%ymm13,%ymm8 + vperm2i128 $0x31,%ymm5,%ymm13,%ymm5 + vperm2i128 $0x20,%ymm15,%ymm2,%ymm13 + vperm2i128 $0x31,%ymm15,%ymm2,%ymm15 + vperm2i128 $0x20,%ymm7,%ymm9,%ymm2 + vperm2i128 $0x31,%ymm7,%ymm9,%ymm7 + vperm2i128 $0x20,%ymm4,%ymm12,%ymm9 + vperm2i128 $0x31,%ymm4,%ymm12,%ymm4 + vmovdqa 0(%rsp),%ymm6 + vmovdqa 32(%rsp),%ymm12 + + cmpq $512,%rdx + jb L$tail8x + + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + leaq 128(%rsi),%rsi + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + leaq 128(%rdi),%rdi + + vpxor 0(%rsi),%ymm12,%ymm12 + vpxor 32(%rsi),%ymm13,%ymm13 + vpxor 64(%rsi),%ymm10,%ymm10 + vpxor 96(%rsi),%ymm15,%ymm15 + leaq 128(%rsi),%rsi + vmovdqu %ymm12,0(%rdi) + vmovdqu %ymm13,32(%rdi) + vmovdqu %ymm10,64(%rdi) + vmovdqu %ymm15,96(%rdi) + leaq 128(%rdi),%rdi + + vpxor 0(%rsi),%ymm14,%ymm14 + vpxor 32(%rsi),%ymm2,%ymm2 + vpxor 64(%rsi),%ymm3,%ymm3 + vpxor 96(%rsi),%ymm7,%ymm7 + leaq 128(%rsi),%rsi + vmovdqu %ymm14,0(%rdi) + vmovdqu %ymm2,32(%rdi) + vmovdqu %ymm3,64(%rdi) + vmovdqu %ymm7,96(%rdi) + leaq 128(%rdi),%rdi + + vpxor 0(%rsi),%ymm11,%ymm11 + vpxor 32(%rsi),%ymm9,%ymm9 + vpxor 64(%rsi),%ymm0,%ymm0 + vpxor 96(%rsi),%ymm4,%ymm4 + leaq 128(%rsi),%rsi + vmovdqu %ymm11,0(%rdi) + vmovdqu %ymm9,32(%rdi) + vmovdqu %ymm0,64(%rdi) + vmovdqu %ymm4,96(%rdi) + leaq 128(%rdi),%rdi + + subq $512,%rdx + jnz L$oop_outer8x + + jmp L$done8x + +L$tail8x: + cmpq $448,%rdx + jae L$448_or_more8x + cmpq $384,%rdx + jae L$384_or_more8x + cmpq $320,%rdx + jae L$320_or_more8x + cmpq $256,%rdx + jae L$256_or_more8x + cmpq $192,%rdx + jae L$192_or_more8x + cmpq $128,%rdx + jae L$128_or_more8x + cmpq $64,%rdx + jae L$64_or_more8x + + xorq %r9,%r9 + vmovdqa %ymm6,0(%rsp) + vmovdqa %ymm8,32(%rsp) + jmp L$oop_tail8x + +.p2align 5 +L$64_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + je L$done8x + + leaq 64(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm1,0(%rsp) + leaq 64(%rdi),%rdi + subq $64,%rdx + vmovdqa %ymm5,32(%rsp) + jmp L$oop_tail8x + +.p2align 5 +L$128_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + je L$done8x + + leaq 128(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm12,0(%rsp) + leaq 128(%rdi),%rdi + subq $128,%rdx + vmovdqa %ymm13,32(%rsp) + jmp L$oop_tail8x + +.p2align 5 +L$192_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + vpxor 128(%rsi),%ymm12,%ymm12 + vpxor 160(%rsi),%ymm13,%ymm13 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + vmovdqu %ymm12,128(%rdi) + vmovdqu %ymm13,160(%rdi) + je L$done8x + + leaq 192(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm10,0(%rsp) + leaq 192(%rdi),%rdi + subq $192,%rdx + vmovdqa %ymm15,32(%rsp) + jmp L$oop_tail8x + +.p2align 5 +L$256_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + vpxor 128(%rsi),%ymm12,%ymm12 + vpxor 160(%rsi),%ymm13,%ymm13 + vpxor 192(%rsi),%ymm10,%ymm10 + vpxor 224(%rsi),%ymm15,%ymm15 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + vmovdqu %ymm12,128(%rdi) + vmovdqu %ymm13,160(%rdi) + vmovdqu %ymm10,192(%rdi) + vmovdqu %ymm15,224(%rdi) + je L$done8x + + leaq 256(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm14,0(%rsp) + leaq 256(%rdi),%rdi + subq $256,%rdx + vmovdqa %ymm2,32(%rsp) + jmp L$oop_tail8x + +.p2align 5 +L$320_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + vpxor 128(%rsi),%ymm12,%ymm12 + vpxor 160(%rsi),%ymm13,%ymm13 + vpxor 192(%rsi),%ymm10,%ymm10 + vpxor 224(%rsi),%ymm15,%ymm15 + vpxor 256(%rsi),%ymm14,%ymm14 + vpxor 288(%rsi),%ymm2,%ymm2 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + vmovdqu %ymm12,128(%rdi) + vmovdqu %ymm13,160(%rdi) + vmovdqu %ymm10,192(%rdi) + vmovdqu %ymm15,224(%rdi) + vmovdqu %ymm14,256(%rdi) + vmovdqu %ymm2,288(%rdi) + je L$done8x + + leaq 320(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm3,0(%rsp) + leaq 320(%rdi),%rdi + subq $320,%rdx + vmovdqa %ymm7,32(%rsp) + jmp L$oop_tail8x + +.p2align 5 +L$384_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + vpxor 128(%rsi),%ymm12,%ymm12 + vpxor 160(%rsi),%ymm13,%ymm13 + vpxor 192(%rsi),%ymm10,%ymm10 + vpxor 224(%rsi),%ymm15,%ymm15 + vpxor 256(%rsi),%ymm14,%ymm14 + vpxor 288(%rsi),%ymm2,%ymm2 + vpxor 320(%rsi),%ymm3,%ymm3 + vpxor 352(%rsi),%ymm7,%ymm7 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + vmovdqu %ymm12,128(%rdi) + vmovdqu %ymm13,160(%rdi) + vmovdqu %ymm10,192(%rdi) + vmovdqu %ymm15,224(%rdi) + vmovdqu %ymm14,256(%rdi) + vmovdqu %ymm2,288(%rdi) + vmovdqu %ymm3,320(%rdi) + vmovdqu %ymm7,352(%rdi) + je L$done8x + + leaq 384(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm11,0(%rsp) + leaq 384(%rdi),%rdi + subq $384,%rdx + vmovdqa %ymm9,32(%rsp) + jmp L$oop_tail8x + +.p2align 5 +L$448_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + vpxor 128(%rsi),%ymm12,%ymm12 + vpxor 160(%rsi),%ymm13,%ymm13 + vpxor 192(%rsi),%ymm10,%ymm10 + vpxor 224(%rsi),%ymm15,%ymm15 + vpxor 256(%rsi),%ymm14,%ymm14 + vpxor 288(%rsi),%ymm2,%ymm2 + vpxor 320(%rsi),%ymm3,%ymm3 + vpxor 352(%rsi),%ymm7,%ymm7 + vpxor 384(%rsi),%ymm11,%ymm11 + vpxor 416(%rsi),%ymm9,%ymm9 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + vmovdqu %ymm12,128(%rdi) + vmovdqu %ymm13,160(%rdi) + vmovdqu %ymm10,192(%rdi) + vmovdqu %ymm15,224(%rdi) + vmovdqu %ymm14,256(%rdi) + vmovdqu %ymm2,288(%rdi) + vmovdqu %ymm3,320(%rdi) + vmovdqu %ymm7,352(%rdi) + vmovdqu %ymm11,384(%rdi) + vmovdqu %ymm9,416(%rdi) + je L$done8x + + leaq 448(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm0,0(%rsp) + leaq 448(%rdi),%rdi + subq $448,%rdx + vmovdqa %ymm4,32(%rsp) + +L$oop_tail8x: + movzbl (%rsi,%r9,1),%eax + movzbl (%rsp,%r9,1),%ecx + leaq 1(%r9),%r9 + xorl %ecx,%eax + movb %al,-1(%rdi,%r9,1) + decq %rdx + jnz L$oop_tail8x + +L$done8x: + vzeroall + leaq (%r10),%rsp +.cfi_def_cfa_register %rsp +L$avx2_epilogue: + .byte 0xf3,0xc3 +.cfi_endproc + diff --git a/cbits/asm/chacha-x86_64-mingw64.S b/cbits/asm/chacha-x86_64-mingw64.S new file mode 100644 --- /dev/null +++ b/cbits/asm/chacha-x86_64-mingw64.S @@ -0,0 +1,2556 @@ +.text + + + +.p2align 6 +.Lzero: +.long 0,0,0,0 +.Lone: +.long 1,0,0,0 +.Linc: +.long 0,1,2,3 +.Lfour: +.long 4,4,4,4 +.Lincy: +.long 0,2,4,6,1,3,5,7 +.Leight: +.long 8,8,8,8,8,8,8,8 +.Lrot16: +.byte 0x2,0x3,0x0,0x1, 0x6,0x7,0x4,0x5, 0xa,0xb,0x8,0x9, 0xe,0xf,0xc,0xd +.Lrot24: +.byte 0x3,0x0,0x1,0x2, 0x7,0x4,0x5,0x6, 0xb,0x8,0x9,0xa, 0xf,0xc,0xd,0xe +.Ltwoy: +.long 2,0,0,0, 2,0,0,0 +.p2align 6 +.Lzeroz: +.long 0,0,0,0, 1,0,0,0, 2,0,0,0, 3,0,0,0 +.Lfourz: +.long 4,0,0,0, 4,0,0,0, 4,0,0,0, 4,0,0,0 +.Lincz: +.long 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15 +.Lsixteen: +.long 16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16 +.Lsigma: +.byte 101,120,112,97,110,100,32,51,50,45,98,121,116,101,32,107,0 +.byte 67,104,97,67,104,97,50,48,32,102,111,114,32,120,56,54,95,54,52,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.globl crypton_chacha20_asm_ctr32 +.def crypton_chacha20_asm_ctr32; .scl 2; .type 32; .endef +.p2align 6 +crypton_chacha20_asm_ctr32: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%rax +.LSEH_begin_crypton_chacha20_asm_ctr32: + + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx + movq %r9,%rcx + movq 40(%rsp),%r8 + cmpq $0,%rdx + je .Lno_data + movq crypton_ia32cap_P+4(%rip),%r9 + testl $512,%r9d + jnz .Lcrypton_chacha20_asm_ssse3 + pushq %rbx + + pushq %rbp + + pushq %r12 + + pushq %r13 + + pushq %r14 + + pushq %r15 + + subq $64+24,%rsp + +.Lctr32_body: + + movq %rdx,%rbp + + movq 0(%rcx),%r12 + movq 8(%rcx),%r13 + movq 16(%rcx),%r14 + movq 24(%rcx),%r15 + movq 0(%r8),%rax + movq 8(%r8),%rdx + movq %r12,16(%rsp) + movq %r13,24(%rsp) + movq %r14,0(%rsp) + movq %r15,8(%rsp) + movq %rax,48(%rsp) + movq %rdx,56(%rsp) + jmp .Loop_outer + +.p2align 5 +.Loop_outer: + movl $0x61707865,%eax + movl $0x3320646e,%ebx + movl $0x79622d32,%ecx + movl $0x6b206574,%edx + movl 16(%rsp),%r8d + movl 20(%rsp),%r9d + movl 24(%rsp),%r10d + movl 28(%rsp),%r11d + movl 48(%rsp),%r12d + movl 52(%rsp),%r13d + movl 56(%rsp),%r14d + movq %r15,40(%rsp) + movl 60(%rsp),%r15d + + movq %rbp,64+0(%rsp) + movq %rsi,64+8(%rsp) + movl 0(%rsp),%esi + movq %rdi,64+16(%rsp) + movl 4(%rsp),%edi + movl $10,%ebp + jmp .Loop + +.p2align 5 +.Loop: + addl %r8d,%eax + xorl %eax,%r12d + roll $16,%r12d + addl %r9d,%ebx + xorl %ebx,%r13d + roll $16,%r13d + addl %r12d,%esi + xorl %esi,%r8d + roll $12,%r8d + addl %r13d,%edi + xorl %edi,%r9d + roll $12,%r9d + addl %r8d,%eax + xorl %eax,%r12d + roll $8,%r12d + addl %r9d,%ebx + xorl %ebx,%r13d + roll $8,%r13d + addl %r12d,%esi + xorl %esi,%r8d + roll $7,%r8d + addl %r13d,%edi + xorl %edi,%r9d + roll $7,%r9d + movl %esi,32(%rsp) + movl %edi,36(%rsp) + movl 40(%rsp),%esi + movl 44(%rsp),%edi + addl %r10d,%ecx + xorl %ecx,%r14d + roll $16,%r14d + addl %r11d,%edx + xorl %edx,%r15d + roll $16,%r15d + addl %r14d,%esi + xorl %esi,%r10d + roll $12,%r10d + addl %r15d,%edi + xorl %edi,%r11d + roll $12,%r11d + addl %r10d,%ecx + xorl %ecx,%r14d + roll $8,%r14d + addl %r11d,%edx + xorl %edx,%r15d + roll $8,%r15d + addl %r14d,%esi + xorl %esi,%r10d + roll $7,%r10d + addl %r15d,%edi + xorl %edi,%r11d + roll $7,%r11d + addl %r9d,%eax + xorl %eax,%r15d + roll $16,%r15d + addl %r10d,%ebx + xorl %ebx,%r12d + roll $16,%r12d + addl %r15d,%esi + xorl %esi,%r9d + roll $12,%r9d + addl %r12d,%edi + xorl %edi,%r10d + roll $12,%r10d + addl %r9d,%eax + xorl %eax,%r15d + roll $8,%r15d + addl %r10d,%ebx + xorl %ebx,%r12d + roll $8,%r12d + addl %r15d,%esi + xorl %esi,%r9d + roll $7,%r9d + addl %r12d,%edi + xorl %edi,%r10d + roll $7,%r10d + movl %esi,40(%rsp) + movl %edi,44(%rsp) + movl 32(%rsp),%esi + movl 36(%rsp),%edi + addl %r11d,%ecx + xorl %ecx,%r13d + roll $16,%r13d + addl %r8d,%edx + xorl %edx,%r14d + roll $16,%r14d + addl %r13d,%esi + xorl %esi,%r11d + roll $12,%r11d + addl %r14d,%edi + xorl %edi,%r8d + roll $12,%r8d + addl %r11d,%ecx + xorl %ecx,%r13d + roll $8,%r13d + addl %r8d,%edx + xorl %edx,%r14d + roll $8,%r14d + addl %r13d,%esi + xorl %esi,%r11d + roll $7,%r11d + addl %r14d,%edi + xorl %edi,%r8d + roll $7,%r8d + decl %ebp + jnz .Loop + addl 0(%rsp),%esi + addl 4(%rsp),%edi + movq 64(%rsp),%rbp + movl %esi,32(%rsp) + movq 64+8(%rsp),%rsi + movl %edi,36(%rsp) + movq 64+16(%rsp),%rdi + + addl $0x61707865,%eax + addl $0x3320646e,%ebx + addl $0x79622d32,%ecx + addl $0x6b206574,%edx + addl 16(%rsp),%r8d + addl 20(%rsp),%r9d + addl 24(%rsp),%r10d + addl 28(%rsp),%r11d + addl 48(%rsp),%r12d + addl 52(%rsp),%r13d + addl 56(%rsp),%r14d + addl 60(%rsp),%r15d + + cmpq $64,%rbp + jb .Ltail + + xorl 0(%rsi),%eax + xorl 4(%rsi),%ebx + xorl 8(%rsi),%ecx + xorl 12(%rsi),%edx + movl %eax,0(%rdi) + movl 32(%rsp),%eax + movl %ebx,4(%rdi) + movl 36(%rsp),%ebx + movl %ecx,8(%rdi) + movl 40(%rsp),%ecx + movl %edx,12(%rdi) + movl 44(%rsp),%edx + xorl 16(%rsi),%r8d + addl 8(%rsp),%ecx + xorl 20(%rsi),%r9d + addl 12(%rsp),%edx + xorl 24(%rsi),%r10d + xorl 28(%rsi),%r11d + xorl 32(%rsi),%eax + xorl 36(%rsi),%ebx + xorl 40(%rsi),%ecx + xorl 44(%rsi),%edx + xorl 48(%rsi),%r12d + xorl 52(%rsi),%r13d + xorl 56(%rsi),%r14d + xorl 60(%rsi),%r15d + leaq 64(%rsi),%rsi + + addl $1,48(%rsp) + + movl %r8d,16(%rdi) + movl %r9d,20(%rdi) + movl %r10d,24(%rdi) + movl %r11d,28(%rdi) + movl %eax,32(%rdi) + movl %ebx,36(%rdi) + movl %ecx,40(%rdi) + movl %edx,44(%rdi) + movl %r12d,48(%rdi) + movl %r13d,52(%rdi) + movl %r14d,56(%rdi) + movl %r15d,60(%rdi) + leaq 64(%rdi),%rdi + movq 8(%rsp),%r15 + + subq $64,%rbp + jnz .Loop_outer + + jmp .Ldone + +.p2align 4 +.Ltail: + movl %eax,0(%rsp) + movl 8(%rsp),%eax + movl %ebx,4(%rsp) + movl 12(%rsp),%ebx + movl %ecx,8(%rsp) + addl 40(%rsp),%eax + movl %edx,12(%rsp) + addl 44(%rsp),%ebx + movl %r8d,16(%rsp) + movl %r9d,20(%rsp) + movl %r10d,24(%rsp) + movl %r11d,28(%rsp) + movl %eax,40(%rsp) + movl %ebx,44(%rsp) + xorq %rbx,%rbx + movl %r12d,48(%rsp) + movl %r13d,52(%rsp) + movl %r14d,56(%rsp) + movl %r15d,60(%rsp) + +.Loop_tail: + movzbl (%rsi,%rbx,1),%eax + movzbl (%rsp,%rbx,1),%edx + leaq 1(%rbx),%rbx + xorl %edx,%eax + movb %al,-1(%rdi,%rbx,1) + decq %rbp + jnz .Loop_tail + +.Ldone: + leaq 64+24+48(%rsp),%rsi + + movq -48(%rsi),%r15 + + movq -40(%rsi),%r14 + + movq -32(%rsi),%r13 + + movq -24(%rsi),%r12 + + movq -16(%rsi),%rbp + + movq -8(%rsi),%rbx + + leaq (%rsi),%rsp + +.Lno_data: + movq 8(%rsp),%rdi + movq 16(%rsp),%rsi + .byte 0xf3,0xc3 + +.LSEH_end_crypton_chacha20_asm_ctr32: +.def crypton_chacha20_asm_ssse3; .scl 3; .type 32; .endef +.p2align 5 +crypton_chacha20_asm_ssse3: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%rax +.LSEH_begin_crypton_chacha20_asm_ssse3: + + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx + movq %r9,%rcx + movq 40(%rsp),%r8 +.Lcrypton_chacha20_asm_ssse3: + movq %rsp,%r10 + + testl $2048,%r9d + jnz .Lcrypton_chacha20_asm_4xop + cmpq $128,%rdx + je .Lcrypton_chacha20_asm_128 + ja .Lcrypton_chacha20_asm_4x + +.Ldo_sse3_after_all: + subq $64+40,%rsp + andq $-16,%rsp + movaps %xmm6,-40(%r10) + movaps %xmm7,-24(%r10) +.Lssse3_body: + movdqa .Lsigma(%rip),%xmm0 + movdqu (%rcx),%xmm1 + movdqu 16(%rcx),%xmm2 + movdqu (%r8),%xmm3 + movdqa .Lrot16(%rip),%xmm6 + movdqa .Lrot24(%rip),%xmm7 + + movdqa %xmm0,0(%rsp) + movdqa %xmm1,16(%rsp) + movdqa %xmm2,32(%rsp) + movdqa %xmm3,48(%rsp) + movq $10,%r8 + jmp .Loop_ssse3 + +.p2align 5 +.Loop_outer_ssse3: + movdqa .Lone(%rip),%xmm3 + movdqa 0(%rsp),%xmm0 + movdqa 16(%rsp),%xmm1 + movdqa 32(%rsp),%xmm2 + paddd 48(%rsp),%xmm3 + movq $10,%r8 + movdqa %xmm3,48(%rsp) + jmp .Loop_ssse3 + +.p2align 5 +.Loop_ssse3: + paddd %xmm1,%xmm0 + pxor %xmm0,%xmm3 +.byte 102,15,56,0,222 + paddd %xmm3,%xmm2 + pxor %xmm2,%xmm1 + movdqa %xmm1,%xmm4 + psrld $20,%xmm1 + pslld $12,%xmm4 + por %xmm4,%xmm1 + paddd %xmm1,%xmm0 + pxor %xmm0,%xmm3 +.byte 102,15,56,0,223 + paddd %xmm3,%xmm2 + pxor %xmm2,%xmm1 + movdqa %xmm1,%xmm4 + psrld $25,%xmm1 + pslld $7,%xmm4 + por %xmm4,%xmm1 + pshufd $78,%xmm2,%xmm2 + pshufd $57,%xmm1,%xmm1 + pshufd $147,%xmm3,%xmm3 + nop + paddd %xmm1,%xmm0 + pxor %xmm0,%xmm3 +.byte 102,15,56,0,222 + paddd %xmm3,%xmm2 + pxor %xmm2,%xmm1 + movdqa %xmm1,%xmm4 + psrld $20,%xmm1 + pslld $12,%xmm4 + por %xmm4,%xmm1 + paddd %xmm1,%xmm0 + pxor %xmm0,%xmm3 +.byte 102,15,56,0,223 + paddd %xmm3,%xmm2 + pxor %xmm2,%xmm1 + movdqa %xmm1,%xmm4 + psrld $25,%xmm1 + pslld $7,%xmm4 + por %xmm4,%xmm1 + pshufd $78,%xmm2,%xmm2 + pshufd $147,%xmm1,%xmm1 + pshufd $57,%xmm3,%xmm3 + decq %r8 + jnz .Loop_ssse3 + paddd 0(%rsp),%xmm0 + paddd 16(%rsp),%xmm1 + paddd 32(%rsp),%xmm2 + paddd 48(%rsp),%xmm3 + + cmpq $64,%rdx + jb .Ltail_ssse3 + + movdqu 0(%rsi),%xmm4 + movdqu 16(%rsi),%xmm5 + pxor %xmm4,%xmm0 + movdqu 32(%rsi),%xmm4 + pxor %xmm5,%xmm1 + movdqu 48(%rsi),%xmm5 + leaq 64(%rsi),%rsi + pxor %xmm4,%xmm2 + pxor %xmm5,%xmm3 + + movdqu %xmm0,0(%rdi) + movdqu %xmm1,16(%rdi) + movdqu %xmm2,32(%rdi) + movdqu %xmm3,48(%rdi) + leaq 64(%rdi),%rdi + + subq $64,%rdx + jnz .Loop_outer_ssse3 + + jmp .Ldone_ssse3 + +.p2align 4 +.Ltail_ssse3: + movdqa %xmm0,0(%rsp) + movdqa %xmm1,16(%rsp) + movdqa %xmm2,32(%rsp) + movdqa %xmm3,48(%rsp) + xorq %r8,%r8 + +.Loop_tail_ssse3: + movzbl (%rsi,%r8,1),%eax + movzbl (%rsp,%r8,1),%ecx + leaq 1(%r8),%r8 + xorl %ecx,%eax + movb %al,-1(%rdi,%r8,1) + decq %rdx + jnz .Loop_tail_ssse3 + +.Ldone_ssse3: + movaps -40(%r10),%xmm6 + movaps -24(%r10),%xmm7 + leaq (%r10),%rsp + +.Lssse3_epilogue: + movq 8(%rsp),%rdi + movq 16(%rsp),%rsi + .byte 0xf3,0xc3 + +.LSEH_end_crypton_chacha20_asm_ssse3: +.def crypton_chacha20_asm_128; .scl 3; .type 32; .endef +.p2align 5 +crypton_chacha20_asm_128: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%rax +.LSEH_begin_crypton_chacha20_asm_128: + + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx + movq %r9,%rcx + movq 40(%rsp),%r8 +.Lcrypton_chacha20_asm_128: + movq %rsp,%r10 + + subq $64+104,%rsp + andq $-16,%rsp + movaps %xmm6,-104(%r10) + movaps %xmm7,-88(%r10) + movaps %xmm8,-72(%r10) + movaps %xmm9,-56(%r10) + movaps %xmm10,-40(%r10) + movaps %xmm11,-24(%r10) +.L128_body: + movdqa .Lsigma(%rip),%xmm8 + movdqu (%rcx),%xmm9 + movdqu 16(%rcx),%xmm2 + movdqu (%r8),%xmm3 + movdqa .Lone(%rip),%xmm1 + movdqa .Lrot16(%rip),%xmm6 + movdqa .Lrot24(%rip),%xmm7 + + movdqa %xmm8,%xmm10 + movdqa %xmm8,0(%rsp) + movdqa %xmm9,%xmm11 + movdqa %xmm9,16(%rsp) + movdqa %xmm2,%xmm0 + movdqa %xmm2,32(%rsp) + paddd %xmm3,%xmm1 + movdqa %xmm3,48(%rsp) + movq $10,%r8 + jmp .Loop_128 + +.p2align 5 +.Loop_128: + paddd %xmm9,%xmm8 + pxor %xmm8,%xmm3 + paddd %xmm11,%xmm10 + pxor %xmm10,%xmm1 +.byte 102,15,56,0,222 +.byte 102,15,56,0,206 + paddd %xmm3,%xmm2 + paddd %xmm1,%xmm0 + pxor %xmm2,%xmm9 + pxor %xmm0,%xmm11 + movdqa %xmm9,%xmm4 + psrld $20,%xmm9 + movdqa %xmm11,%xmm5 + pslld $12,%xmm4 + psrld $20,%xmm11 + por %xmm4,%xmm9 + pslld $12,%xmm5 + por %xmm5,%xmm11 + paddd %xmm9,%xmm8 + pxor %xmm8,%xmm3 + paddd %xmm11,%xmm10 + pxor %xmm10,%xmm1 +.byte 102,15,56,0,223 +.byte 102,15,56,0,207 + paddd %xmm3,%xmm2 + paddd %xmm1,%xmm0 + pxor %xmm2,%xmm9 + pxor %xmm0,%xmm11 + movdqa %xmm9,%xmm4 + psrld $25,%xmm9 + movdqa %xmm11,%xmm5 + pslld $7,%xmm4 + psrld $25,%xmm11 + por %xmm4,%xmm9 + pslld $7,%xmm5 + por %xmm5,%xmm11 + pshufd $78,%xmm2,%xmm2 + pshufd $57,%xmm9,%xmm9 + pshufd $147,%xmm3,%xmm3 + pshufd $78,%xmm0,%xmm0 + pshufd $57,%xmm11,%xmm11 + pshufd $147,%xmm1,%xmm1 + paddd %xmm9,%xmm8 + pxor %xmm8,%xmm3 + paddd %xmm11,%xmm10 + pxor %xmm10,%xmm1 +.byte 102,15,56,0,222 +.byte 102,15,56,0,206 + paddd %xmm3,%xmm2 + paddd %xmm1,%xmm0 + pxor %xmm2,%xmm9 + pxor %xmm0,%xmm11 + movdqa %xmm9,%xmm4 + psrld $20,%xmm9 + movdqa %xmm11,%xmm5 + pslld $12,%xmm4 + psrld $20,%xmm11 + por %xmm4,%xmm9 + pslld $12,%xmm5 + por %xmm5,%xmm11 + paddd %xmm9,%xmm8 + pxor %xmm8,%xmm3 + paddd %xmm11,%xmm10 + pxor %xmm10,%xmm1 +.byte 102,15,56,0,223 +.byte 102,15,56,0,207 + paddd %xmm3,%xmm2 + paddd %xmm1,%xmm0 + pxor %xmm2,%xmm9 + pxor %xmm0,%xmm11 + movdqa %xmm9,%xmm4 + psrld $25,%xmm9 + movdqa %xmm11,%xmm5 + pslld $7,%xmm4 + psrld $25,%xmm11 + por %xmm4,%xmm9 + pslld $7,%xmm5 + por %xmm5,%xmm11 + pshufd $78,%xmm2,%xmm2 + pshufd $147,%xmm9,%xmm9 + pshufd $57,%xmm3,%xmm3 + pshufd $78,%xmm0,%xmm0 + pshufd $147,%xmm11,%xmm11 + pshufd $57,%xmm1,%xmm1 + decq %r8 + jnz .Loop_128 + paddd 0(%rsp),%xmm8 + paddd 16(%rsp),%xmm9 + paddd 32(%rsp),%xmm2 + paddd 48(%rsp),%xmm3 + paddd .Lone(%rip),%xmm1 + paddd 0(%rsp),%xmm10 + paddd 16(%rsp),%xmm11 + paddd 32(%rsp),%xmm0 + paddd 48(%rsp),%xmm1 + + movdqu 0(%rsi),%xmm4 + movdqu 16(%rsi),%xmm5 + pxor %xmm4,%xmm8 + movdqu 32(%rsi),%xmm4 + pxor %xmm5,%xmm9 + movdqu 48(%rsi),%xmm5 + pxor %xmm4,%xmm2 + movdqu 64(%rsi),%xmm4 + pxor %xmm5,%xmm3 + movdqu 80(%rsi),%xmm5 + pxor %xmm4,%xmm10 + movdqu 96(%rsi),%xmm4 + pxor %xmm5,%xmm11 + movdqu 112(%rsi),%xmm5 + pxor %xmm4,%xmm0 + pxor %xmm5,%xmm1 + + movdqu %xmm8,0(%rdi) + movdqu %xmm9,16(%rdi) + movdqu %xmm2,32(%rdi) + movdqu %xmm3,48(%rdi) + movdqu %xmm10,64(%rdi) + movdqu %xmm11,80(%rdi) + movdqu %xmm0,96(%rdi) + movdqu %xmm1,112(%rdi) + movaps -104(%r10),%xmm6 + movaps -88(%r10),%xmm7 + movaps -72(%r10),%xmm8 + movaps -56(%r10),%xmm9 + movaps -40(%r10),%xmm10 + movaps -24(%r10),%xmm11 + leaq (%r10),%rsp + +.L128_epilogue: + movq 8(%rsp),%rdi + movq 16(%rsp),%rsi + .byte 0xf3,0xc3 + +.LSEH_end_crypton_chacha20_asm_128: +.def crypton_chacha20_asm_4x; .scl 3; .type 32; .endef +.p2align 5 +crypton_chacha20_asm_4x: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%rax +.LSEH_begin_crypton_chacha20_asm_4x: + + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx + movq %r9,%rcx + movq 40(%rsp),%r8 +.Lcrypton_chacha20_asm_4x: + movq %rsp,%r10 + + movq %r9,%r11 + shrq $32,%r9 + testq $32,%r9 + jnz .Lcrypton_chacha20_asm_8x + cmpq $192,%rdx + ja .Lproceed4x + + andq $71303168,%r11 + cmpq $4194304,%r11 + je .Ldo_sse3_after_all + +.Lproceed4x: + subq $0x140+168,%rsp + andq $-16,%rsp + movaps %xmm6,-168(%r10) + movaps %xmm7,-152(%r10) + movaps %xmm8,-136(%r10) + movaps %xmm9,-120(%r10) + movaps %xmm10,-104(%r10) + movaps %xmm11,-88(%r10) + movaps %xmm12,-72(%r10) + movaps %xmm13,-56(%r10) + movaps %xmm14,-40(%r10) + movaps %xmm15,-24(%r10) +.L4x_body: + movdqa .Lsigma(%rip),%xmm11 + movdqu (%rcx),%xmm15 + movdqu 16(%rcx),%xmm7 + movdqu (%r8),%xmm3 + leaq 256(%rsp),%rcx + leaq .Lrot16(%rip),%r9 + leaq .Lrot24(%rip),%r11 + + pshufd $0x00,%xmm11,%xmm8 + pshufd $0x55,%xmm11,%xmm9 + movdqa %xmm8,64(%rsp) + pshufd $0xaa,%xmm11,%xmm10 + movdqa %xmm9,80(%rsp) + pshufd $0xff,%xmm11,%xmm11 + movdqa %xmm10,96(%rsp) + movdqa %xmm11,112(%rsp) + + pshufd $0x00,%xmm15,%xmm12 + pshufd $0x55,%xmm15,%xmm13 + movdqa %xmm12,128-256(%rcx) + pshufd $0xaa,%xmm15,%xmm14 + movdqa %xmm13,144-256(%rcx) + pshufd $0xff,%xmm15,%xmm15 + movdqa %xmm14,160-256(%rcx) + movdqa %xmm15,176-256(%rcx) + + pshufd $0x00,%xmm7,%xmm4 + pshufd $0x55,%xmm7,%xmm5 + movdqa %xmm4,192-256(%rcx) + pshufd $0xaa,%xmm7,%xmm6 + movdqa %xmm5,208-256(%rcx) + pshufd $0xff,%xmm7,%xmm7 + movdqa %xmm6,224-256(%rcx) + movdqa %xmm7,240-256(%rcx) + + pshufd $0x00,%xmm3,%xmm0 + pshufd $0x55,%xmm3,%xmm1 + paddd .Linc(%rip),%xmm0 + pshufd $0xaa,%xmm3,%xmm2 + movdqa %xmm1,272-256(%rcx) + pshufd $0xff,%xmm3,%xmm3 + movdqa %xmm2,288-256(%rcx) + movdqa %xmm3,304-256(%rcx) + + jmp .Loop_enter4x + +.p2align 5 +.Loop_outer4x: + movdqa 64(%rsp),%xmm8 + movdqa 80(%rsp),%xmm9 + movdqa 96(%rsp),%xmm10 + movdqa 112(%rsp),%xmm11 + movdqa 128-256(%rcx),%xmm12 + movdqa 144-256(%rcx),%xmm13 + movdqa 160-256(%rcx),%xmm14 + movdqa 176-256(%rcx),%xmm15 + movdqa 192-256(%rcx),%xmm4 + movdqa 208-256(%rcx),%xmm5 + movdqa 224-256(%rcx),%xmm6 + movdqa 240-256(%rcx),%xmm7 + movdqa 256-256(%rcx),%xmm0 + movdqa 272-256(%rcx),%xmm1 + movdqa 288-256(%rcx),%xmm2 + movdqa 304-256(%rcx),%xmm3 + paddd .Lfour(%rip),%xmm0 + +.Loop_enter4x: + movdqa %xmm6,32(%rsp) + movdqa %xmm7,48(%rsp) + movdqa (%r9),%xmm7 + movl $10,%eax + movdqa %xmm0,256-256(%rcx) + jmp .Loop4x + +.p2align 5 +.Loop4x: + paddd %xmm12,%xmm8 + paddd %xmm13,%xmm9 + pxor %xmm8,%xmm0 + pxor %xmm9,%xmm1 +.byte 102,15,56,0,199 +.byte 102,15,56,0,207 + paddd %xmm0,%xmm4 + paddd %xmm1,%xmm5 + pxor %xmm4,%xmm12 + pxor %xmm5,%xmm13 + movdqa %xmm12,%xmm6 + pslld $12,%xmm12 + psrld $20,%xmm6 + movdqa %xmm13,%xmm7 + pslld $12,%xmm13 + por %xmm6,%xmm12 + psrld $20,%xmm7 + movdqa (%r11),%xmm6 + por %xmm7,%xmm13 + paddd %xmm12,%xmm8 + paddd %xmm13,%xmm9 + pxor %xmm8,%xmm0 + pxor %xmm9,%xmm1 +.byte 102,15,56,0,198 +.byte 102,15,56,0,206 + paddd %xmm0,%xmm4 + paddd %xmm1,%xmm5 + pxor %xmm4,%xmm12 + pxor %xmm5,%xmm13 + movdqa %xmm12,%xmm7 + pslld $7,%xmm12 + psrld $25,%xmm7 + movdqa %xmm13,%xmm6 + pslld $7,%xmm13 + por %xmm7,%xmm12 + psrld $25,%xmm6 + movdqa (%r9),%xmm7 + por %xmm6,%xmm13 + movdqa %xmm4,0(%rsp) + movdqa %xmm5,16(%rsp) + movdqa 32(%rsp),%xmm4 + movdqa 48(%rsp),%xmm5 + paddd %xmm14,%xmm10 + paddd %xmm15,%xmm11 + pxor %xmm10,%xmm2 + pxor %xmm11,%xmm3 +.byte 102,15,56,0,215 +.byte 102,15,56,0,223 + paddd %xmm2,%xmm4 + paddd %xmm3,%xmm5 + pxor %xmm4,%xmm14 + pxor %xmm5,%xmm15 + movdqa %xmm14,%xmm6 + pslld $12,%xmm14 + psrld $20,%xmm6 + movdqa %xmm15,%xmm7 + pslld $12,%xmm15 + por %xmm6,%xmm14 + psrld $20,%xmm7 + movdqa (%r11),%xmm6 + por %xmm7,%xmm15 + paddd %xmm14,%xmm10 + paddd %xmm15,%xmm11 + pxor %xmm10,%xmm2 + pxor %xmm11,%xmm3 +.byte 102,15,56,0,214 +.byte 102,15,56,0,222 + paddd %xmm2,%xmm4 + paddd %xmm3,%xmm5 + pxor %xmm4,%xmm14 + pxor %xmm5,%xmm15 + movdqa %xmm14,%xmm7 + pslld $7,%xmm14 + psrld $25,%xmm7 + movdqa %xmm15,%xmm6 + pslld $7,%xmm15 + por %xmm7,%xmm14 + psrld $25,%xmm6 + movdqa (%r9),%xmm7 + por %xmm6,%xmm15 + paddd %xmm13,%xmm8 + paddd %xmm14,%xmm9 + pxor %xmm8,%xmm3 + pxor %xmm9,%xmm0 +.byte 102,15,56,0,223 +.byte 102,15,56,0,199 + paddd %xmm3,%xmm4 + paddd %xmm0,%xmm5 + pxor %xmm4,%xmm13 + pxor %xmm5,%xmm14 + movdqa %xmm13,%xmm6 + pslld $12,%xmm13 + psrld $20,%xmm6 + movdqa %xmm14,%xmm7 + pslld $12,%xmm14 + por %xmm6,%xmm13 + psrld $20,%xmm7 + movdqa (%r11),%xmm6 + por %xmm7,%xmm14 + paddd %xmm13,%xmm8 + paddd %xmm14,%xmm9 + pxor %xmm8,%xmm3 + pxor %xmm9,%xmm0 +.byte 102,15,56,0,222 +.byte 102,15,56,0,198 + paddd %xmm3,%xmm4 + paddd %xmm0,%xmm5 + pxor %xmm4,%xmm13 + pxor %xmm5,%xmm14 + movdqa %xmm13,%xmm7 + pslld $7,%xmm13 + psrld $25,%xmm7 + movdqa %xmm14,%xmm6 + pslld $7,%xmm14 + por %xmm7,%xmm13 + psrld $25,%xmm6 + movdqa (%r9),%xmm7 + por %xmm6,%xmm14 + movdqa %xmm4,32(%rsp) + movdqa %xmm5,48(%rsp) + movdqa 0(%rsp),%xmm4 + movdqa 16(%rsp),%xmm5 + paddd %xmm15,%xmm10 + paddd %xmm12,%xmm11 + pxor %xmm10,%xmm1 + pxor %xmm11,%xmm2 +.byte 102,15,56,0,207 +.byte 102,15,56,0,215 + paddd %xmm1,%xmm4 + paddd %xmm2,%xmm5 + pxor %xmm4,%xmm15 + pxor %xmm5,%xmm12 + movdqa %xmm15,%xmm6 + pslld $12,%xmm15 + psrld $20,%xmm6 + movdqa %xmm12,%xmm7 + pslld $12,%xmm12 + por %xmm6,%xmm15 + psrld $20,%xmm7 + movdqa (%r11),%xmm6 + por %xmm7,%xmm12 + paddd %xmm15,%xmm10 + paddd %xmm12,%xmm11 + pxor %xmm10,%xmm1 + pxor %xmm11,%xmm2 +.byte 102,15,56,0,206 +.byte 102,15,56,0,214 + paddd %xmm1,%xmm4 + paddd %xmm2,%xmm5 + pxor %xmm4,%xmm15 + pxor %xmm5,%xmm12 + movdqa %xmm15,%xmm7 + pslld $7,%xmm15 + psrld $25,%xmm7 + movdqa %xmm12,%xmm6 + pslld $7,%xmm12 + por %xmm7,%xmm15 + psrld $25,%xmm6 + movdqa (%r9),%xmm7 + por %xmm6,%xmm12 + decl %eax + jnz .Loop4x + + paddd 64(%rsp),%xmm8 + paddd 80(%rsp),%xmm9 + paddd 96(%rsp),%xmm10 + paddd 112(%rsp),%xmm11 + + movdqa %xmm8,%xmm6 + punpckldq %xmm9,%xmm8 + movdqa %xmm10,%xmm7 + punpckldq %xmm11,%xmm10 + punpckhdq %xmm9,%xmm6 + punpckhdq %xmm11,%xmm7 + movdqa %xmm8,%xmm9 + punpcklqdq %xmm10,%xmm8 + movdqa %xmm6,%xmm11 + punpcklqdq %xmm7,%xmm6 + punpckhqdq %xmm10,%xmm9 + punpckhqdq %xmm7,%xmm11 + paddd 128-256(%rcx),%xmm12 + paddd 144-256(%rcx),%xmm13 + paddd 160-256(%rcx),%xmm14 + paddd 176-256(%rcx),%xmm15 + + movdqa %xmm8,0(%rsp) + movdqa %xmm9,16(%rsp) + movdqa 32(%rsp),%xmm8 + movdqa 48(%rsp),%xmm9 + + movdqa %xmm12,%xmm10 + punpckldq %xmm13,%xmm12 + movdqa %xmm14,%xmm7 + punpckldq %xmm15,%xmm14 + punpckhdq %xmm13,%xmm10 + punpckhdq %xmm15,%xmm7 + movdqa %xmm12,%xmm13 + punpcklqdq %xmm14,%xmm12 + movdqa %xmm10,%xmm15 + punpcklqdq %xmm7,%xmm10 + punpckhqdq %xmm14,%xmm13 + punpckhqdq %xmm7,%xmm15 + paddd 192-256(%rcx),%xmm4 + paddd 208-256(%rcx),%xmm5 + paddd 224-256(%rcx),%xmm8 + paddd 240-256(%rcx),%xmm9 + + movdqa %xmm6,32(%rsp) + movdqa %xmm11,48(%rsp) + + movdqa %xmm4,%xmm14 + punpckldq %xmm5,%xmm4 + movdqa %xmm8,%xmm7 + punpckldq %xmm9,%xmm8 + punpckhdq %xmm5,%xmm14 + punpckhdq %xmm9,%xmm7 + movdqa %xmm4,%xmm5 + punpcklqdq %xmm8,%xmm4 + movdqa %xmm14,%xmm9 + punpcklqdq %xmm7,%xmm14 + punpckhqdq %xmm8,%xmm5 + punpckhqdq %xmm7,%xmm9 + paddd 256-256(%rcx),%xmm0 + paddd 272-256(%rcx),%xmm1 + paddd 288-256(%rcx),%xmm2 + paddd 304-256(%rcx),%xmm3 + + movdqa %xmm0,%xmm8 + punpckldq %xmm1,%xmm0 + movdqa %xmm2,%xmm7 + punpckldq %xmm3,%xmm2 + punpckhdq %xmm1,%xmm8 + punpckhdq %xmm3,%xmm7 + movdqa %xmm0,%xmm1 + punpcklqdq %xmm2,%xmm0 + movdqa %xmm8,%xmm3 + punpcklqdq %xmm7,%xmm8 + punpckhqdq %xmm2,%xmm1 + punpckhqdq %xmm7,%xmm3 + cmpq $256,%rdx + jb .Ltail4x + + movdqu 0(%rsi),%xmm6 + movdqu 16(%rsi),%xmm11 + movdqu 32(%rsi),%xmm2 + movdqu 48(%rsi),%xmm7 + pxor 0(%rsp),%xmm6 + pxor %xmm12,%xmm11 + pxor %xmm4,%xmm2 + pxor %xmm0,%xmm7 + + movdqu %xmm6,0(%rdi) + movdqu 64(%rsi),%xmm6 + movdqu %xmm11,16(%rdi) + movdqu 80(%rsi),%xmm11 + movdqu %xmm2,32(%rdi) + movdqu 96(%rsi),%xmm2 + movdqu %xmm7,48(%rdi) + movdqu 112(%rsi),%xmm7 + leaq 128(%rsi),%rsi + pxor 16(%rsp),%xmm6 + pxor %xmm13,%xmm11 + pxor %xmm5,%xmm2 + pxor %xmm1,%xmm7 + + movdqu %xmm6,64(%rdi) + movdqu 0(%rsi),%xmm6 + movdqu %xmm11,80(%rdi) + movdqu 16(%rsi),%xmm11 + movdqu %xmm2,96(%rdi) + movdqu 32(%rsi),%xmm2 + movdqu %xmm7,112(%rdi) + leaq 128(%rdi),%rdi + movdqu 48(%rsi),%xmm7 + pxor 32(%rsp),%xmm6 + pxor %xmm10,%xmm11 + pxor %xmm14,%xmm2 + pxor %xmm8,%xmm7 + + movdqu %xmm6,0(%rdi) + movdqu 64(%rsi),%xmm6 + movdqu %xmm11,16(%rdi) + movdqu 80(%rsi),%xmm11 + movdqu %xmm2,32(%rdi) + movdqu 96(%rsi),%xmm2 + movdqu %xmm7,48(%rdi) + movdqu 112(%rsi),%xmm7 + leaq 128(%rsi),%rsi + pxor 48(%rsp),%xmm6 + pxor %xmm15,%xmm11 + pxor %xmm9,%xmm2 + pxor %xmm3,%xmm7 + movdqu %xmm6,64(%rdi) + movdqu %xmm11,80(%rdi) + movdqu %xmm2,96(%rdi) + movdqu %xmm7,112(%rdi) + leaq 128(%rdi),%rdi + + subq $256,%rdx + jnz .Loop_outer4x + + jmp .Ldone4x + +.Ltail4x: + cmpq $192,%rdx + jae .L192_or_more4x + cmpq $128,%rdx + jae .L128_or_more4x + cmpq $64,%rdx + jae .L64_or_more4x + + + xorq %r9,%r9 + + movdqa %xmm12,16(%rsp) + movdqa %xmm4,32(%rsp) + movdqa %xmm0,48(%rsp) + jmp .Loop_tail4x + +.p2align 5 +.L64_or_more4x: + movdqu 0(%rsi),%xmm6 + movdqu 16(%rsi),%xmm11 + movdqu 32(%rsi),%xmm2 + movdqu 48(%rsi),%xmm7 + pxor 0(%rsp),%xmm6 + pxor %xmm12,%xmm11 + pxor %xmm4,%xmm2 + pxor %xmm0,%xmm7 + movdqu %xmm6,0(%rdi) + movdqu %xmm11,16(%rdi) + movdqu %xmm2,32(%rdi) + movdqu %xmm7,48(%rdi) + je .Ldone4x + + movdqa 16(%rsp),%xmm6 + leaq 64(%rsi),%rsi + xorq %r9,%r9 + movdqa %xmm6,0(%rsp) + movdqa %xmm13,16(%rsp) + leaq 64(%rdi),%rdi + movdqa %xmm5,32(%rsp) + subq $64,%rdx + movdqa %xmm1,48(%rsp) + jmp .Loop_tail4x + +.p2align 5 +.L128_or_more4x: + movdqu 0(%rsi),%xmm6 + movdqu 16(%rsi),%xmm11 + movdqu 32(%rsi),%xmm2 + movdqu 48(%rsi),%xmm7 + pxor 0(%rsp),%xmm6 + pxor %xmm12,%xmm11 + pxor %xmm4,%xmm2 + pxor %xmm0,%xmm7 + + movdqu %xmm6,0(%rdi) + movdqu 64(%rsi),%xmm6 + movdqu %xmm11,16(%rdi) + movdqu 80(%rsi),%xmm11 + movdqu %xmm2,32(%rdi) + movdqu 96(%rsi),%xmm2 + movdqu %xmm7,48(%rdi) + movdqu 112(%rsi),%xmm7 + pxor 16(%rsp),%xmm6 + pxor %xmm13,%xmm11 + pxor %xmm5,%xmm2 + pxor %xmm1,%xmm7 + movdqu %xmm6,64(%rdi) + movdqu %xmm11,80(%rdi) + movdqu %xmm2,96(%rdi) + movdqu %xmm7,112(%rdi) + je .Ldone4x + + movdqa 32(%rsp),%xmm6 + leaq 128(%rsi),%rsi + xorq %r9,%r9 + movdqa %xmm6,0(%rsp) + movdqa %xmm10,16(%rsp) + leaq 128(%rdi),%rdi + movdqa %xmm14,32(%rsp) + subq $128,%rdx + movdqa %xmm8,48(%rsp) + jmp .Loop_tail4x + +.p2align 5 +.L192_or_more4x: + movdqu 0(%rsi),%xmm6 + movdqu 16(%rsi),%xmm11 + movdqu 32(%rsi),%xmm2 + movdqu 48(%rsi),%xmm7 + pxor 0(%rsp),%xmm6 + pxor %xmm12,%xmm11 + pxor %xmm4,%xmm2 + pxor %xmm0,%xmm7 + + movdqu %xmm6,0(%rdi) + movdqu 64(%rsi),%xmm6 + movdqu %xmm11,16(%rdi) + movdqu 80(%rsi),%xmm11 + movdqu %xmm2,32(%rdi) + movdqu 96(%rsi),%xmm2 + movdqu %xmm7,48(%rdi) + movdqu 112(%rsi),%xmm7 + leaq 128(%rsi),%rsi + pxor 16(%rsp),%xmm6 + pxor %xmm13,%xmm11 + pxor %xmm5,%xmm2 + pxor %xmm1,%xmm7 + + movdqu %xmm6,64(%rdi) + movdqu 0(%rsi),%xmm6 + movdqu %xmm11,80(%rdi) + movdqu 16(%rsi),%xmm11 + movdqu %xmm2,96(%rdi) + movdqu 32(%rsi),%xmm2 + movdqu %xmm7,112(%rdi) + leaq 128(%rdi),%rdi + movdqu 48(%rsi),%xmm7 + pxor 32(%rsp),%xmm6 + pxor %xmm10,%xmm11 + pxor %xmm14,%xmm2 + pxor %xmm8,%xmm7 + movdqu %xmm6,0(%rdi) + movdqu %xmm11,16(%rdi) + movdqu %xmm2,32(%rdi) + movdqu %xmm7,48(%rdi) + je .Ldone4x + + movdqa 48(%rsp),%xmm6 + leaq 64(%rsi),%rsi + xorq %r9,%r9 + movdqa %xmm6,0(%rsp) + movdqa %xmm15,16(%rsp) + leaq 64(%rdi),%rdi + movdqa %xmm9,32(%rsp) + subq $192,%rdx + movdqa %xmm3,48(%rsp) + +.Loop_tail4x: + movzbl (%rsi,%r9,1),%eax + movzbl (%rsp,%r9,1),%ecx + leaq 1(%r9),%r9 + xorl %ecx,%eax + movb %al,-1(%rdi,%r9,1) + decq %rdx + jnz .Loop_tail4x + +.Ldone4x: + movaps -168(%r10),%xmm6 + movaps -152(%r10),%xmm7 + movaps -136(%r10),%xmm8 + movaps -120(%r10),%xmm9 + movaps -104(%r10),%xmm10 + movaps -88(%r10),%xmm11 + movaps -72(%r10),%xmm12 + movaps -56(%r10),%xmm13 + movaps -40(%r10),%xmm14 + movaps -24(%r10),%xmm15 + leaq (%r10),%rsp + +.L4x_epilogue: + movq 8(%rsp),%rdi + movq 16(%rsp),%rsi + .byte 0xf3,0xc3 + +.LSEH_end_crypton_chacha20_asm_4x: +.def crypton_chacha20_asm_4xop; .scl 3; .type 32; .endef +.p2align 5 +crypton_chacha20_asm_4xop: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%rax +.LSEH_begin_crypton_chacha20_asm_4xop: + + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx + movq %r9,%rcx + movq 40(%rsp),%r8 +.Lcrypton_chacha20_asm_4xop: + movq %rsp,%r10 + + subq $0x140+168,%rsp + andq $-16,%rsp + movaps %xmm6,-168(%r10) + movaps %xmm7,-152(%r10) + movaps %xmm8,-136(%r10) + movaps %xmm9,-120(%r10) + movaps %xmm10,-104(%r10) + movaps %xmm11,-88(%r10) + movaps %xmm12,-72(%r10) + movaps %xmm13,-56(%r10) + movaps %xmm14,-40(%r10) + movaps %xmm15,-24(%r10) +.L4xop_body: + vzeroupper + + vmovdqa .Lsigma(%rip),%xmm11 + vmovdqu (%rcx),%xmm3 + vmovdqu 16(%rcx),%xmm15 + vmovdqu (%r8),%xmm7 + leaq 256(%rsp),%rcx + + vpshufd $0x00,%xmm11,%xmm8 + vpshufd $0x55,%xmm11,%xmm9 + vmovdqa %xmm8,64(%rsp) + vpshufd $0xaa,%xmm11,%xmm10 + vmovdqa %xmm9,80(%rsp) + vpshufd $0xff,%xmm11,%xmm11 + vmovdqa %xmm10,96(%rsp) + vmovdqa %xmm11,112(%rsp) + + vpshufd $0x00,%xmm3,%xmm0 + vpshufd $0x55,%xmm3,%xmm1 + vmovdqa %xmm0,128-256(%rcx) + vpshufd $0xaa,%xmm3,%xmm2 + vmovdqa %xmm1,144-256(%rcx) + vpshufd $0xff,%xmm3,%xmm3 + vmovdqa %xmm2,160-256(%rcx) + vmovdqa %xmm3,176-256(%rcx) + + vpshufd $0x00,%xmm15,%xmm12 + vpshufd $0x55,%xmm15,%xmm13 + vmovdqa %xmm12,192-256(%rcx) + vpshufd $0xaa,%xmm15,%xmm14 + vmovdqa %xmm13,208-256(%rcx) + vpshufd $0xff,%xmm15,%xmm15 + vmovdqa %xmm14,224-256(%rcx) + vmovdqa %xmm15,240-256(%rcx) + + vpshufd $0x00,%xmm7,%xmm4 + vpshufd $0x55,%xmm7,%xmm5 + vpaddd .Linc(%rip),%xmm4,%xmm4 + vpshufd $0xaa,%xmm7,%xmm6 + vmovdqa %xmm5,272-256(%rcx) + vpshufd $0xff,%xmm7,%xmm7 + vmovdqa %xmm6,288-256(%rcx) + vmovdqa %xmm7,304-256(%rcx) + + jmp .Loop_enter4xop + +.p2align 5 +.Loop_outer4xop: + vmovdqa 64(%rsp),%xmm8 + vmovdqa 80(%rsp),%xmm9 + vmovdqa 96(%rsp),%xmm10 + vmovdqa 112(%rsp),%xmm11 + vmovdqa 128-256(%rcx),%xmm0 + vmovdqa 144-256(%rcx),%xmm1 + vmovdqa 160-256(%rcx),%xmm2 + vmovdqa 176-256(%rcx),%xmm3 + vmovdqa 192-256(%rcx),%xmm12 + vmovdqa 208-256(%rcx),%xmm13 + vmovdqa 224-256(%rcx),%xmm14 + vmovdqa 240-256(%rcx),%xmm15 + vmovdqa 256-256(%rcx),%xmm4 + vmovdqa 272-256(%rcx),%xmm5 + vmovdqa 288-256(%rcx),%xmm6 + vmovdqa 304-256(%rcx),%xmm7 + vpaddd .Lfour(%rip),%xmm4,%xmm4 + +.Loop_enter4xop: + movl $10,%eax + vmovdqa %xmm4,256-256(%rcx) + jmp .Loop4xop + +.p2align 5 +.Loop4xop: + vpaddd %xmm0,%xmm8,%xmm8 + vpaddd %xmm1,%xmm9,%xmm9 + vpaddd %xmm2,%xmm10,%xmm10 + vpaddd %xmm3,%xmm11,%xmm11 + vpxor %xmm4,%xmm8,%xmm4 + vpxor %xmm5,%xmm9,%xmm5 + vpxor %xmm6,%xmm10,%xmm6 + vpxor %xmm7,%xmm11,%xmm7 +.byte 143,232,120,194,228,16 +.byte 143,232,120,194,237,16 +.byte 143,232,120,194,246,16 +.byte 143,232,120,194,255,16 + vpaddd %xmm4,%xmm12,%xmm12 + vpaddd %xmm5,%xmm13,%xmm13 + vpaddd %xmm6,%xmm14,%xmm14 + vpaddd %xmm7,%xmm15,%xmm15 + vpxor %xmm0,%xmm12,%xmm0 + vpxor %xmm1,%xmm13,%xmm1 + vpxor %xmm14,%xmm2,%xmm2 + vpxor %xmm15,%xmm3,%xmm3 +.byte 143,232,120,194,192,12 +.byte 143,232,120,194,201,12 +.byte 143,232,120,194,210,12 +.byte 143,232,120,194,219,12 + vpaddd %xmm8,%xmm0,%xmm8 + vpaddd %xmm9,%xmm1,%xmm9 + vpaddd %xmm2,%xmm10,%xmm10 + vpaddd %xmm3,%xmm11,%xmm11 + vpxor %xmm4,%xmm8,%xmm4 + vpxor %xmm5,%xmm9,%xmm5 + vpxor %xmm6,%xmm10,%xmm6 + vpxor %xmm7,%xmm11,%xmm7 +.byte 143,232,120,194,228,8 +.byte 143,232,120,194,237,8 +.byte 143,232,120,194,246,8 +.byte 143,232,120,194,255,8 + vpaddd %xmm4,%xmm12,%xmm12 + vpaddd %xmm5,%xmm13,%xmm13 + vpaddd %xmm6,%xmm14,%xmm14 + vpaddd %xmm7,%xmm15,%xmm15 + vpxor %xmm0,%xmm12,%xmm0 + vpxor %xmm1,%xmm13,%xmm1 + vpxor %xmm14,%xmm2,%xmm2 + vpxor %xmm15,%xmm3,%xmm3 +.byte 143,232,120,194,192,7 +.byte 143,232,120,194,201,7 +.byte 143,232,120,194,210,7 +.byte 143,232,120,194,219,7 + vpaddd %xmm1,%xmm8,%xmm8 + vpaddd %xmm2,%xmm9,%xmm9 + vpaddd %xmm3,%xmm10,%xmm10 + vpaddd %xmm0,%xmm11,%xmm11 + vpxor %xmm7,%xmm8,%xmm7 + vpxor %xmm4,%xmm9,%xmm4 + vpxor %xmm5,%xmm10,%xmm5 + vpxor %xmm6,%xmm11,%xmm6 +.byte 143,232,120,194,255,16 +.byte 143,232,120,194,228,16 +.byte 143,232,120,194,237,16 +.byte 143,232,120,194,246,16 + vpaddd %xmm7,%xmm14,%xmm14 + vpaddd %xmm4,%xmm15,%xmm15 + vpaddd %xmm5,%xmm12,%xmm12 + vpaddd %xmm6,%xmm13,%xmm13 + vpxor %xmm1,%xmm14,%xmm1 + vpxor %xmm2,%xmm15,%xmm2 + vpxor %xmm12,%xmm3,%xmm3 + vpxor %xmm13,%xmm0,%xmm0 +.byte 143,232,120,194,201,12 +.byte 143,232,120,194,210,12 +.byte 143,232,120,194,219,12 +.byte 143,232,120,194,192,12 + vpaddd %xmm8,%xmm1,%xmm8 + vpaddd %xmm9,%xmm2,%xmm9 + vpaddd %xmm3,%xmm10,%xmm10 + vpaddd %xmm0,%xmm11,%xmm11 + vpxor %xmm7,%xmm8,%xmm7 + vpxor %xmm4,%xmm9,%xmm4 + vpxor %xmm5,%xmm10,%xmm5 + vpxor %xmm6,%xmm11,%xmm6 +.byte 143,232,120,194,255,8 +.byte 143,232,120,194,228,8 +.byte 143,232,120,194,237,8 +.byte 143,232,120,194,246,8 + vpaddd %xmm7,%xmm14,%xmm14 + vpaddd %xmm4,%xmm15,%xmm15 + vpaddd %xmm5,%xmm12,%xmm12 + vpaddd %xmm6,%xmm13,%xmm13 + vpxor %xmm1,%xmm14,%xmm1 + vpxor %xmm2,%xmm15,%xmm2 + vpxor %xmm12,%xmm3,%xmm3 + vpxor %xmm13,%xmm0,%xmm0 +.byte 143,232,120,194,201,7 +.byte 143,232,120,194,210,7 +.byte 143,232,120,194,219,7 +.byte 143,232,120,194,192,7 + decl %eax + jnz .Loop4xop + + vpaddd 64(%rsp),%xmm8,%xmm8 + vpaddd 80(%rsp),%xmm9,%xmm9 + vpaddd 96(%rsp),%xmm10,%xmm10 + vpaddd 112(%rsp),%xmm11,%xmm11 + + vmovdqa %xmm14,32(%rsp) + vmovdqa %xmm15,48(%rsp) + + vpunpckldq %xmm9,%xmm8,%xmm14 + vpunpckldq %xmm11,%xmm10,%xmm15 + vpunpckhdq %xmm9,%xmm8,%xmm8 + vpunpckhdq %xmm11,%xmm10,%xmm10 + vpunpcklqdq %xmm15,%xmm14,%xmm9 + vpunpckhqdq %xmm15,%xmm14,%xmm14 + vpunpcklqdq %xmm10,%xmm8,%xmm11 + vpunpckhqdq %xmm10,%xmm8,%xmm8 + vpaddd 128-256(%rcx),%xmm0,%xmm0 + vpaddd 144-256(%rcx),%xmm1,%xmm1 + vpaddd 160-256(%rcx),%xmm2,%xmm2 + vpaddd 176-256(%rcx),%xmm3,%xmm3 + + vmovdqa %xmm9,0(%rsp) + vmovdqa %xmm14,16(%rsp) + vmovdqa 32(%rsp),%xmm9 + vmovdqa 48(%rsp),%xmm14 + + vpunpckldq %xmm1,%xmm0,%xmm10 + vpunpckldq %xmm3,%xmm2,%xmm15 + vpunpckhdq %xmm1,%xmm0,%xmm0 + vpunpckhdq %xmm3,%xmm2,%xmm2 + vpunpcklqdq %xmm15,%xmm10,%xmm1 + vpunpckhqdq %xmm15,%xmm10,%xmm10 + vpunpcklqdq %xmm2,%xmm0,%xmm3 + vpunpckhqdq %xmm2,%xmm0,%xmm0 + vpaddd 192-256(%rcx),%xmm12,%xmm12 + vpaddd 208-256(%rcx),%xmm13,%xmm13 + vpaddd 224-256(%rcx),%xmm9,%xmm9 + vpaddd 240-256(%rcx),%xmm14,%xmm14 + + vpunpckldq %xmm13,%xmm12,%xmm2 + vpunpckldq %xmm14,%xmm9,%xmm15 + vpunpckhdq %xmm13,%xmm12,%xmm12 + vpunpckhdq %xmm14,%xmm9,%xmm9 + vpunpcklqdq %xmm15,%xmm2,%xmm13 + vpunpckhqdq %xmm15,%xmm2,%xmm2 + vpunpcklqdq %xmm9,%xmm12,%xmm14 + vpunpckhqdq %xmm9,%xmm12,%xmm12 + vpaddd 256-256(%rcx),%xmm4,%xmm4 + vpaddd 272-256(%rcx),%xmm5,%xmm5 + vpaddd 288-256(%rcx),%xmm6,%xmm6 + vpaddd 304-256(%rcx),%xmm7,%xmm7 + + vpunpckldq %xmm5,%xmm4,%xmm9 + vpunpckldq %xmm7,%xmm6,%xmm15 + vpunpckhdq %xmm5,%xmm4,%xmm4 + vpunpckhdq %xmm7,%xmm6,%xmm6 + vpunpcklqdq %xmm15,%xmm9,%xmm5 + vpunpckhqdq %xmm15,%xmm9,%xmm9 + vpunpcklqdq %xmm6,%xmm4,%xmm7 + vpunpckhqdq %xmm6,%xmm4,%xmm4 + vmovdqa 0(%rsp),%xmm6 + vmovdqa 16(%rsp),%xmm15 + + cmpq $256,%rdx + jb .Ltail4xop + + vpxor 0(%rsi),%xmm6,%xmm6 + vpxor 16(%rsi),%xmm1,%xmm1 + vpxor 32(%rsi),%xmm13,%xmm13 + vpxor 48(%rsi),%xmm5,%xmm5 + vpxor 64(%rsi),%xmm15,%xmm15 + vpxor 80(%rsi),%xmm10,%xmm10 + vpxor 96(%rsi),%xmm2,%xmm2 + vpxor 112(%rsi),%xmm9,%xmm9 + leaq 128(%rsi),%rsi + vpxor 0(%rsi),%xmm11,%xmm11 + vpxor 16(%rsi),%xmm3,%xmm3 + vpxor 32(%rsi),%xmm14,%xmm14 + vpxor 48(%rsi),%xmm7,%xmm7 + vpxor 64(%rsi),%xmm8,%xmm8 + vpxor 80(%rsi),%xmm0,%xmm0 + vpxor 96(%rsi),%xmm12,%xmm12 + vpxor 112(%rsi),%xmm4,%xmm4 + leaq 128(%rsi),%rsi + + vmovdqu %xmm6,0(%rdi) + vmovdqu %xmm1,16(%rdi) + vmovdqu %xmm13,32(%rdi) + vmovdqu %xmm5,48(%rdi) + vmovdqu %xmm15,64(%rdi) + vmovdqu %xmm10,80(%rdi) + vmovdqu %xmm2,96(%rdi) + vmovdqu %xmm9,112(%rdi) + leaq 128(%rdi),%rdi + vmovdqu %xmm11,0(%rdi) + vmovdqu %xmm3,16(%rdi) + vmovdqu %xmm14,32(%rdi) + vmovdqu %xmm7,48(%rdi) + vmovdqu %xmm8,64(%rdi) + vmovdqu %xmm0,80(%rdi) + vmovdqu %xmm12,96(%rdi) + vmovdqu %xmm4,112(%rdi) + leaq 128(%rdi),%rdi + + subq $256,%rdx + jnz .Loop_outer4xop + + jmp .Ldone4xop + +.p2align 5 +.Ltail4xop: + cmpq $192,%rdx + jae .L192_or_more4xop + cmpq $128,%rdx + jae .L128_or_more4xop + cmpq $64,%rdx + jae .L64_or_more4xop + + xorq %r9,%r9 + vmovdqa %xmm6,0(%rsp) + vmovdqa %xmm1,16(%rsp) + vmovdqa %xmm13,32(%rsp) + vmovdqa %xmm5,48(%rsp) + jmp .Loop_tail4xop + +.p2align 5 +.L64_or_more4xop: + vpxor 0(%rsi),%xmm6,%xmm6 + vpxor 16(%rsi),%xmm1,%xmm1 + vpxor 32(%rsi),%xmm13,%xmm13 + vpxor 48(%rsi),%xmm5,%xmm5 + vmovdqu %xmm6,0(%rdi) + vmovdqu %xmm1,16(%rdi) + vmovdqu %xmm13,32(%rdi) + vmovdqu %xmm5,48(%rdi) + je .Ldone4xop + + leaq 64(%rsi),%rsi + vmovdqa %xmm15,0(%rsp) + xorq %r9,%r9 + vmovdqa %xmm10,16(%rsp) + leaq 64(%rdi),%rdi + vmovdqa %xmm2,32(%rsp) + subq $64,%rdx + vmovdqa %xmm9,48(%rsp) + jmp .Loop_tail4xop + +.p2align 5 +.L128_or_more4xop: + vpxor 0(%rsi),%xmm6,%xmm6 + vpxor 16(%rsi),%xmm1,%xmm1 + vpxor 32(%rsi),%xmm13,%xmm13 + vpxor 48(%rsi),%xmm5,%xmm5 + vpxor 64(%rsi),%xmm15,%xmm15 + vpxor 80(%rsi),%xmm10,%xmm10 + vpxor 96(%rsi),%xmm2,%xmm2 + vpxor 112(%rsi),%xmm9,%xmm9 + + vmovdqu %xmm6,0(%rdi) + vmovdqu %xmm1,16(%rdi) + vmovdqu %xmm13,32(%rdi) + vmovdqu %xmm5,48(%rdi) + vmovdqu %xmm15,64(%rdi) + vmovdqu %xmm10,80(%rdi) + vmovdqu %xmm2,96(%rdi) + vmovdqu %xmm9,112(%rdi) + je .Ldone4xop + + leaq 128(%rsi),%rsi + vmovdqa %xmm11,0(%rsp) + xorq %r9,%r9 + vmovdqa %xmm3,16(%rsp) + leaq 128(%rdi),%rdi + vmovdqa %xmm14,32(%rsp) + subq $128,%rdx + vmovdqa %xmm7,48(%rsp) + jmp .Loop_tail4xop + +.p2align 5 +.L192_or_more4xop: + vpxor 0(%rsi),%xmm6,%xmm6 + vpxor 16(%rsi),%xmm1,%xmm1 + vpxor 32(%rsi),%xmm13,%xmm13 + vpxor 48(%rsi),%xmm5,%xmm5 + vpxor 64(%rsi),%xmm15,%xmm15 + vpxor 80(%rsi),%xmm10,%xmm10 + vpxor 96(%rsi),%xmm2,%xmm2 + vpxor 112(%rsi),%xmm9,%xmm9 + leaq 128(%rsi),%rsi + vpxor 0(%rsi),%xmm11,%xmm11 + vpxor 16(%rsi),%xmm3,%xmm3 + vpxor 32(%rsi),%xmm14,%xmm14 + vpxor 48(%rsi),%xmm7,%xmm7 + + vmovdqu %xmm6,0(%rdi) + vmovdqu %xmm1,16(%rdi) + vmovdqu %xmm13,32(%rdi) + vmovdqu %xmm5,48(%rdi) + vmovdqu %xmm15,64(%rdi) + vmovdqu %xmm10,80(%rdi) + vmovdqu %xmm2,96(%rdi) + vmovdqu %xmm9,112(%rdi) + leaq 128(%rdi),%rdi + vmovdqu %xmm11,0(%rdi) + vmovdqu %xmm3,16(%rdi) + vmovdqu %xmm14,32(%rdi) + vmovdqu %xmm7,48(%rdi) + je .Ldone4xop + + leaq 64(%rsi),%rsi + vmovdqa %xmm8,0(%rsp) + xorq %r9,%r9 + vmovdqa %xmm0,16(%rsp) + leaq 64(%rdi),%rdi + vmovdqa %xmm12,32(%rsp) + subq $192,%rdx + vmovdqa %xmm4,48(%rsp) + +.Loop_tail4xop: + movzbl (%rsi,%r9,1),%eax + movzbl (%rsp,%r9,1),%ecx + leaq 1(%r9),%r9 + xorl %ecx,%eax + movb %al,-1(%rdi,%r9,1) + decq %rdx + jnz .Loop_tail4xop + +.Ldone4xop: + vzeroupper + movaps -168(%r10),%xmm6 + movaps -152(%r10),%xmm7 + movaps -136(%r10),%xmm8 + movaps -120(%r10),%xmm9 + movaps -104(%r10),%xmm10 + movaps -88(%r10),%xmm11 + movaps -72(%r10),%xmm12 + movaps -56(%r10),%xmm13 + movaps -40(%r10),%xmm14 + movaps -24(%r10),%xmm15 + leaq (%r10),%rsp + +.L4xop_epilogue: + movq 8(%rsp),%rdi + movq 16(%rsp),%rsi + .byte 0xf3,0xc3 + +.LSEH_end_crypton_chacha20_asm_4xop: +.def crypton_chacha20_asm_avx2; .scl 3; .type 32; .endef +.p2align 5 +crypton_chacha20_asm_avx2: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%rax +.LSEH_begin_crypton_chacha20_asm_avx2: + + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx + movq %r9,%rcx + movq 40(%rsp),%r8 +.Lcrypton_chacha20_asm_8x: + movq %rsp,%r10 + + subq $0x280+168,%rsp + andq $-32,%rsp + movaps %xmm6,-168(%r10) + movaps %xmm7,-152(%r10) + movaps %xmm8,-136(%r10) + movaps %xmm9,-120(%r10) + movaps %xmm10,-104(%r10) + movaps %xmm11,-88(%r10) + movaps %xmm12,-72(%r10) + movaps %xmm13,-56(%r10) + movaps %xmm14,-40(%r10) + movaps %xmm15,-24(%r10) +.Lavx2_body: + vzeroupper + + + + + + + + + + + vbroadcasti128 .Lsigma(%rip),%ymm11 + vbroadcasti128 (%rcx),%ymm3 + vbroadcasti128 16(%rcx),%ymm15 + vbroadcasti128 (%r8),%ymm7 + leaq 256(%rsp),%rcx + leaq 512(%rsp),%rax + leaq .Lrot16(%rip),%r9 + leaq .Lrot24(%rip),%r11 + + vpshufd $0x00,%ymm11,%ymm8 + vpshufd $0x55,%ymm11,%ymm9 + vmovdqa %ymm8,128-256(%rcx) + vpshufd $0xaa,%ymm11,%ymm10 + vmovdqa %ymm9,160-256(%rcx) + vpshufd $0xff,%ymm11,%ymm11 + vmovdqa %ymm10,192-256(%rcx) + vmovdqa %ymm11,224-256(%rcx) + + vpshufd $0x00,%ymm3,%ymm0 + vpshufd $0x55,%ymm3,%ymm1 + vmovdqa %ymm0,256-256(%rcx) + vpshufd $0xaa,%ymm3,%ymm2 + vmovdqa %ymm1,288-256(%rcx) + vpshufd $0xff,%ymm3,%ymm3 + vmovdqa %ymm2,320-256(%rcx) + vmovdqa %ymm3,352-256(%rcx) + + vpshufd $0x00,%ymm15,%ymm12 + vpshufd $0x55,%ymm15,%ymm13 + vmovdqa %ymm12,384-512(%rax) + vpshufd $0xaa,%ymm15,%ymm14 + vmovdqa %ymm13,416-512(%rax) + vpshufd $0xff,%ymm15,%ymm15 + vmovdqa %ymm14,448-512(%rax) + vmovdqa %ymm15,480-512(%rax) + + vpshufd $0x00,%ymm7,%ymm4 + vpshufd $0x55,%ymm7,%ymm5 + vpaddd .Lincy(%rip),%ymm4,%ymm4 + vpshufd $0xaa,%ymm7,%ymm6 + vmovdqa %ymm5,544-512(%rax) + vpshufd $0xff,%ymm7,%ymm7 + vmovdqa %ymm6,576-512(%rax) + vmovdqa %ymm7,608-512(%rax) + + jmp .Loop_enter8x + +.p2align 5 +.Loop_outer8x: + vmovdqa 128-256(%rcx),%ymm8 + vmovdqa 160-256(%rcx),%ymm9 + vmovdqa 192-256(%rcx),%ymm10 + vmovdqa 224-256(%rcx),%ymm11 + vmovdqa 256-256(%rcx),%ymm0 + vmovdqa 288-256(%rcx),%ymm1 + vmovdqa 320-256(%rcx),%ymm2 + vmovdqa 352-256(%rcx),%ymm3 + vmovdqa 384-512(%rax),%ymm12 + vmovdqa 416-512(%rax),%ymm13 + vmovdqa 448-512(%rax),%ymm14 + vmovdqa 480-512(%rax),%ymm15 + vmovdqa 512-512(%rax),%ymm4 + vmovdqa 544-512(%rax),%ymm5 + vmovdqa 576-512(%rax),%ymm6 + vmovdqa 608-512(%rax),%ymm7 + vpaddd .Leight(%rip),%ymm4,%ymm4 + +.Loop_enter8x: + vmovdqa %ymm14,64(%rsp) + vmovdqa %ymm15,96(%rsp) + vbroadcasti128 (%r9),%ymm15 + vmovdqa %ymm4,512-512(%rax) + movl $10,%eax + jmp .Loop8x + +.p2align 5 +.Loop8x: + vpaddd %ymm0,%ymm8,%ymm8 + vpxor %ymm4,%ymm8,%ymm4 + vpshufb %ymm15,%ymm4,%ymm4 + vpaddd %ymm1,%ymm9,%ymm9 + vpxor %ymm5,%ymm9,%ymm5 + vpshufb %ymm15,%ymm5,%ymm5 + vpaddd %ymm4,%ymm12,%ymm12 + vpxor %ymm0,%ymm12,%ymm0 + vpslld $12,%ymm0,%ymm14 + vpsrld $20,%ymm0,%ymm0 + vpor %ymm0,%ymm14,%ymm0 + vbroadcasti128 (%r11),%ymm14 + vpaddd %ymm5,%ymm13,%ymm13 + vpxor %ymm1,%ymm13,%ymm1 + vpslld $12,%ymm1,%ymm15 + vpsrld $20,%ymm1,%ymm1 + vpor %ymm1,%ymm15,%ymm1 + vpaddd %ymm0,%ymm8,%ymm8 + vpxor %ymm4,%ymm8,%ymm4 + vpshufb %ymm14,%ymm4,%ymm4 + vpaddd %ymm1,%ymm9,%ymm9 + vpxor %ymm5,%ymm9,%ymm5 + vpshufb %ymm14,%ymm5,%ymm5 + vpaddd %ymm4,%ymm12,%ymm12 + vpxor %ymm0,%ymm12,%ymm0 + vpslld $7,%ymm0,%ymm15 + vpsrld $25,%ymm0,%ymm0 + vpor %ymm0,%ymm15,%ymm0 + vbroadcasti128 (%r9),%ymm15 + vpaddd %ymm5,%ymm13,%ymm13 + vpxor %ymm1,%ymm13,%ymm1 + vpslld $7,%ymm1,%ymm14 + vpsrld $25,%ymm1,%ymm1 + vpor %ymm1,%ymm14,%ymm1 + vmovdqa %ymm12,0(%rsp) + vmovdqa %ymm13,32(%rsp) + vmovdqa 64(%rsp),%ymm12 + vmovdqa 96(%rsp),%ymm13 + vpaddd %ymm2,%ymm10,%ymm10 + vpxor %ymm6,%ymm10,%ymm6 + vpshufb %ymm15,%ymm6,%ymm6 + vpaddd %ymm3,%ymm11,%ymm11 + vpxor %ymm7,%ymm11,%ymm7 + vpshufb %ymm15,%ymm7,%ymm7 + vpaddd %ymm6,%ymm12,%ymm12 + vpxor %ymm2,%ymm12,%ymm2 + vpslld $12,%ymm2,%ymm14 + vpsrld $20,%ymm2,%ymm2 + vpor %ymm2,%ymm14,%ymm2 + vbroadcasti128 (%r11),%ymm14 + vpaddd %ymm7,%ymm13,%ymm13 + vpxor %ymm3,%ymm13,%ymm3 + vpslld $12,%ymm3,%ymm15 + vpsrld $20,%ymm3,%ymm3 + vpor %ymm3,%ymm15,%ymm3 + vpaddd %ymm2,%ymm10,%ymm10 + vpxor %ymm6,%ymm10,%ymm6 + vpshufb %ymm14,%ymm6,%ymm6 + vpaddd %ymm3,%ymm11,%ymm11 + vpxor %ymm7,%ymm11,%ymm7 + vpshufb %ymm14,%ymm7,%ymm7 + vpaddd %ymm6,%ymm12,%ymm12 + vpxor %ymm2,%ymm12,%ymm2 + vpslld $7,%ymm2,%ymm15 + vpsrld $25,%ymm2,%ymm2 + vpor %ymm2,%ymm15,%ymm2 + vbroadcasti128 (%r9),%ymm15 + vpaddd %ymm7,%ymm13,%ymm13 + vpxor %ymm3,%ymm13,%ymm3 + vpslld $7,%ymm3,%ymm14 + vpsrld $25,%ymm3,%ymm3 + vpor %ymm3,%ymm14,%ymm3 + vpaddd %ymm1,%ymm8,%ymm8 + vpxor %ymm7,%ymm8,%ymm7 + vpshufb %ymm15,%ymm7,%ymm7 + vpaddd %ymm2,%ymm9,%ymm9 + vpxor %ymm4,%ymm9,%ymm4 + vpshufb %ymm15,%ymm4,%ymm4 + vpaddd %ymm7,%ymm12,%ymm12 + vpxor %ymm1,%ymm12,%ymm1 + vpslld $12,%ymm1,%ymm14 + vpsrld $20,%ymm1,%ymm1 + vpor %ymm1,%ymm14,%ymm1 + vbroadcasti128 (%r11),%ymm14 + vpaddd %ymm4,%ymm13,%ymm13 + vpxor %ymm2,%ymm13,%ymm2 + vpslld $12,%ymm2,%ymm15 + vpsrld $20,%ymm2,%ymm2 + vpor %ymm2,%ymm15,%ymm2 + vpaddd %ymm1,%ymm8,%ymm8 + vpxor %ymm7,%ymm8,%ymm7 + vpshufb %ymm14,%ymm7,%ymm7 + vpaddd %ymm2,%ymm9,%ymm9 + vpxor %ymm4,%ymm9,%ymm4 + vpshufb %ymm14,%ymm4,%ymm4 + vpaddd %ymm7,%ymm12,%ymm12 + vpxor %ymm1,%ymm12,%ymm1 + vpslld $7,%ymm1,%ymm15 + vpsrld $25,%ymm1,%ymm1 + vpor %ymm1,%ymm15,%ymm1 + vbroadcasti128 (%r9),%ymm15 + vpaddd %ymm4,%ymm13,%ymm13 + vpxor %ymm2,%ymm13,%ymm2 + vpslld $7,%ymm2,%ymm14 + vpsrld $25,%ymm2,%ymm2 + vpor %ymm2,%ymm14,%ymm2 + vmovdqa %ymm12,64(%rsp) + vmovdqa %ymm13,96(%rsp) + vmovdqa 0(%rsp),%ymm12 + vmovdqa 32(%rsp),%ymm13 + vpaddd %ymm3,%ymm10,%ymm10 + vpxor %ymm5,%ymm10,%ymm5 + vpshufb %ymm15,%ymm5,%ymm5 + vpaddd %ymm0,%ymm11,%ymm11 + vpxor %ymm6,%ymm11,%ymm6 + vpshufb %ymm15,%ymm6,%ymm6 + vpaddd %ymm5,%ymm12,%ymm12 + vpxor %ymm3,%ymm12,%ymm3 + vpslld $12,%ymm3,%ymm14 + vpsrld $20,%ymm3,%ymm3 + vpor %ymm3,%ymm14,%ymm3 + vbroadcasti128 (%r11),%ymm14 + vpaddd %ymm6,%ymm13,%ymm13 + vpxor %ymm0,%ymm13,%ymm0 + vpslld $12,%ymm0,%ymm15 + vpsrld $20,%ymm0,%ymm0 + vpor %ymm0,%ymm15,%ymm0 + vpaddd %ymm3,%ymm10,%ymm10 + vpxor %ymm5,%ymm10,%ymm5 + vpshufb %ymm14,%ymm5,%ymm5 + vpaddd %ymm0,%ymm11,%ymm11 + vpxor %ymm6,%ymm11,%ymm6 + vpshufb %ymm14,%ymm6,%ymm6 + vpaddd %ymm5,%ymm12,%ymm12 + vpxor %ymm3,%ymm12,%ymm3 + vpslld $7,%ymm3,%ymm15 + vpsrld $25,%ymm3,%ymm3 + vpor %ymm3,%ymm15,%ymm3 + vbroadcasti128 (%r9),%ymm15 + vpaddd %ymm6,%ymm13,%ymm13 + vpxor %ymm0,%ymm13,%ymm0 + vpslld $7,%ymm0,%ymm14 + vpsrld $25,%ymm0,%ymm0 + vpor %ymm0,%ymm14,%ymm0 + decl %eax + jnz .Loop8x + + leaq 512(%rsp),%rax + vpaddd 128-256(%rcx),%ymm8,%ymm8 + vpaddd 160-256(%rcx),%ymm9,%ymm9 + vpaddd 192-256(%rcx),%ymm10,%ymm10 + vpaddd 224-256(%rcx),%ymm11,%ymm11 + + vpunpckldq %ymm9,%ymm8,%ymm14 + vpunpckldq %ymm11,%ymm10,%ymm15 + vpunpckhdq %ymm9,%ymm8,%ymm8 + vpunpckhdq %ymm11,%ymm10,%ymm10 + vpunpcklqdq %ymm15,%ymm14,%ymm9 + vpunpckhqdq %ymm15,%ymm14,%ymm14 + vpunpcklqdq %ymm10,%ymm8,%ymm11 + vpunpckhqdq %ymm10,%ymm8,%ymm8 + vpaddd 256-256(%rcx),%ymm0,%ymm0 + vpaddd 288-256(%rcx),%ymm1,%ymm1 + vpaddd 320-256(%rcx),%ymm2,%ymm2 + vpaddd 352-256(%rcx),%ymm3,%ymm3 + + vpunpckldq %ymm1,%ymm0,%ymm10 + vpunpckldq %ymm3,%ymm2,%ymm15 + vpunpckhdq %ymm1,%ymm0,%ymm0 + vpunpckhdq %ymm3,%ymm2,%ymm2 + vpunpcklqdq %ymm15,%ymm10,%ymm1 + vpunpckhqdq %ymm15,%ymm10,%ymm10 + vpunpcklqdq %ymm2,%ymm0,%ymm3 + vpunpckhqdq %ymm2,%ymm0,%ymm0 + vperm2i128 $0x20,%ymm1,%ymm9,%ymm15 + vperm2i128 $0x31,%ymm1,%ymm9,%ymm1 + vperm2i128 $0x20,%ymm10,%ymm14,%ymm9 + vperm2i128 $0x31,%ymm10,%ymm14,%ymm10 + vperm2i128 $0x20,%ymm3,%ymm11,%ymm14 + vperm2i128 $0x31,%ymm3,%ymm11,%ymm3 + vperm2i128 $0x20,%ymm0,%ymm8,%ymm11 + vperm2i128 $0x31,%ymm0,%ymm8,%ymm0 + vmovdqa %ymm15,0(%rsp) + vmovdqa %ymm9,32(%rsp) + vmovdqa 64(%rsp),%ymm15 + vmovdqa 96(%rsp),%ymm9 + + vpaddd 384-512(%rax),%ymm12,%ymm12 + vpaddd 416-512(%rax),%ymm13,%ymm13 + vpaddd 448-512(%rax),%ymm15,%ymm15 + vpaddd 480-512(%rax),%ymm9,%ymm9 + + vpunpckldq %ymm13,%ymm12,%ymm2 + vpunpckldq %ymm9,%ymm15,%ymm8 + vpunpckhdq %ymm13,%ymm12,%ymm12 + vpunpckhdq %ymm9,%ymm15,%ymm15 + vpunpcklqdq %ymm8,%ymm2,%ymm13 + vpunpckhqdq %ymm8,%ymm2,%ymm2 + vpunpcklqdq %ymm15,%ymm12,%ymm9 + vpunpckhqdq %ymm15,%ymm12,%ymm12 + vpaddd 512-512(%rax),%ymm4,%ymm4 + vpaddd 544-512(%rax),%ymm5,%ymm5 + vpaddd 576-512(%rax),%ymm6,%ymm6 + vpaddd 608-512(%rax),%ymm7,%ymm7 + + vpunpckldq %ymm5,%ymm4,%ymm15 + vpunpckldq %ymm7,%ymm6,%ymm8 + vpunpckhdq %ymm5,%ymm4,%ymm4 + vpunpckhdq %ymm7,%ymm6,%ymm6 + vpunpcklqdq %ymm8,%ymm15,%ymm5 + vpunpckhqdq %ymm8,%ymm15,%ymm15 + vpunpcklqdq %ymm6,%ymm4,%ymm7 + vpunpckhqdq %ymm6,%ymm4,%ymm4 + vperm2i128 $0x20,%ymm5,%ymm13,%ymm8 + vperm2i128 $0x31,%ymm5,%ymm13,%ymm5 + vperm2i128 $0x20,%ymm15,%ymm2,%ymm13 + vperm2i128 $0x31,%ymm15,%ymm2,%ymm15 + vperm2i128 $0x20,%ymm7,%ymm9,%ymm2 + vperm2i128 $0x31,%ymm7,%ymm9,%ymm7 + vperm2i128 $0x20,%ymm4,%ymm12,%ymm9 + vperm2i128 $0x31,%ymm4,%ymm12,%ymm4 + vmovdqa 0(%rsp),%ymm6 + vmovdqa 32(%rsp),%ymm12 + + cmpq $512,%rdx + jb .Ltail8x + + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + leaq 128(%rsi),%rsi + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + leaq 128(%rdi),%rdi + + vpxor 0(%rsi),%ymm12,%ymm12 + vpxor 32(%rsi),%ymm13,%ymm13 + vpxor 64(%rsi),%ymm10,%ymm10 + vpxor 96(%rsi),%ymm15,%ymm15 + leaq 128(%rsi),%rsi + vmovdqu %ymm12,0(%rdi) + vmovdqu %ymm13,32(%rdi) + vmovdqu %ymm10,64(%rdi) + vmovdqu %ymm15,96(%rdi) + leaq 128(%rdi),%rdi + + vpxor 0(%rsi),%ymm14,%ymm14 + vpxor 32(%rsi),%ymm2,%ymm2 + vpxor 64(%rsi),%ymm3,%ymm3 + vpxor 96(%rsi),%ymm7,%ymm7 + leaq 128(%rsi),%rsi + vmovdqu %ymm14,0(%rdi) + vmovdqu %ymm2,32(%rdi) + vmovdqu %ymm3,64(%rdi) + vmovdqu %ymm7,96(%rdi) + leaq 128(%rdi),%rdi + + vpxor 0(%rsi),%ymm11,%ymm11 + vpxor 32(%rsi),%ymm9,%ymm9 + vpxor 64(%rsi),%ymm0,%ymm0 + vpxor 96(%rsi),%ymm4,%ymm4 + leaq 128(%rsi),%rsi + vmovdqu %ymm11,0(%rdi) + vmovdqu %ymm9,32(%rdi) + vmovdqu %ymm0,64(%rdi) + vmovdqu %ymm4,96(%rdi) + leaq 128(%rdi),%rdi + + subq $512,%rdx + jnz .Loop_outer8x + + jmp .Ldone8x + +.Ltail8x: + cmpq $448,%rdx + jae .L448_or_more8x + cmpq $384,%rdx + jae .L384_or_more8x + cmpq $320,%rdx + jae .L320_or_more8x + cmpq $256,%rdx + jae .L256_or_more8x + cmpq $192,%rdx + jae .L192_or_more8x + cmpq $128,%rdx + jae .L128_or_more8x + cmpq $64,%rdx + jae .L64_or_more8x + + xorq %r9,%r9 + vmovdqa %ymm6,0(%rsp) + vmovdqa %ymm8,32(%rsp) + jmp .Loop_tail8x + +.p2align 5 +.L64_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + je .Ldone8x + + leaq 64(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm1,0(%rsp) + leaq 64(%rdi),%rdi + subq $64,%rdx + vmovdqa %ymm5,32(%rsp) + jmp .Loop_tail8x + +.p2align 5 +.L128_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + je .Ldone8x + + leaq 128(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm12,0(%rsp) + leaq 128(%rdi),%rdi + subq $128,%rdx + vmovdqa %ymm13,32(%rsp) + jmp .Loop_tail8x + +.p2align 5 +.L192_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + vpxor 128(%rsi),%ymm12,%ymm12 + vpxor 160(%rsi),%ymm13,%ymm13 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + vmovdqu %ymm12,128(%rdi) + vmovdqu %ymm13,160(%rdi) + je .Ldone8x + + leaq 192(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm10,0(%rsp) + leaq 192(%rdi),%rdi + subq $192,%rdx + vmovdqa %ymm15,32(%rsp) + jmp .Loop_tail8x + +.p2align 5 +.L256_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + vpxor 128(%rsi),%ymm12,%ymm12 + vpxor 160(%rsi),%ymm13,%ymm13 + vpxor 192(%rsi),%ymm10,%ymm10 + vpxor 224(%rsi),%ymm15,%ymm15 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + vmovdqu %ymm12,128(%rdi) + vmovdqu %ymm13,160(%rdi) + vmovdqu %ymm10,192(%rdi) + vmovdqu %ymm15,224(%rdi) + je .Ldone8x + + leaq 256(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm14,0(%rsp) + leaq 256(%rdi),%rdi + subq $256,%rdx + vmovdqa %ymm2,32(%rsp) + jmp .Loop_tail8x + +.p2align 5 +.L320_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + vpxor 128(%rsi),%ymm12,%ymm12 + vpxor 160(%rsi),%ymm13,%ymm13 + vpxor 192(%rsi),%ymm10,%ymm10 + vpxor 224(%rsi),%ymm15,%ymm15 + vpxor 256(%rsi),%ymm14,%ymm14 + vpxor 288(%rsi),%ymm2,%ymm2 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + vmovdqu %ymm12,128(%rdi) + vmovdqu %ymm13,160(%rdi) + vmovdqu %ymm10,192(%rdi) + vmovdqu %ymm15,224(%rdi) + vmovdqu %ymm14,256(%rdi) + vmovdqu %ymm2,288(%rdi) + je .Ldone8x + + leaq 320(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm3,0(%rsp) + leaq 320(%rdi),%rdi + subq $320,%rdx + vmovdqa %ymm7,32(%rsp) + jmp .Loop_tail8x + +.p2align 5 +.L384_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + vpxor 128(%rsi),%ymm12,%ymm12 + vpxor 160(%rsi),%ymm13,%ymm13 + vpxor 192(%rsi),%ymm10,%ymm10 + vpxor 224(%rsi),%ymm15,%ymm15 + vpxor 256(%rsi),%ymm14,%ymm14 + vpxor 288(%rsi),%ymm2,%ymm2 + vpxor 320(%rsi),%ymm3,%ymm3 + vpxor 352(%rsi),%ymm7,%ymm7 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + vmovdqu %ymm12,128(%rdi) + vmovdqu %ymm13,160(%rdi) + vmovdqu %ymm10,192(%rdi) + vmovdqu %ymm15,224(%rdi) + vmovdqu %ymm14,256(%rdi) + vmovdqu %ymm2,288(%rdi) + vmovdqu %ymm3,320(%rdi) + vmovdqu %ymm7,352(%rdi) + je .Ldone8x + + leaq 384(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm11,0(%rsp) + leaq 384(%rdi),%rdi + subq $384,%rdx + vmovdqa %ymm9,32(%rsp) + jmp .Loop_tail8x + +.p2align 5 +.L448_or_more8x: + vpxor 0(%rsi),%ymm6,%ymm6 + vpxor 32(%rsi),%ymm8,%ymm8 + vpxor 64(%rsi),%ymm1,%ymm1 + vpxor 96(%rsi),%ymm5,%ymm5 + vpxor 128(%rsi),%ymm12,%ymm12 + vpxor 160(%rsi),%ymm13,%ymm13 + vpxor 192(%rsi),%ymm10,%ymm10 + vpxor 224(%rsi),%ymm15,%ymm15 + vpxor 256(%rsi),%ymm14,%ymm14 + vpxor 288(%rsi),%ymm2,%ymm2 + vpxor 320(%rsi),%ymm3,%ymm3 + vpxor 352(%rsi),%ymm7,%ymm7 + vpxor 384(%rsi),%ymm11,%ymm11 + vpxor 416(%rsi),%ymm9,%ymm9 + vmovdqu %ymm6,0(%rdi) + vmovdqu %ymm8,32(%rdi) + vmovdqu %ymm1,64(%rdi) + vmovdqu %ymm5,96(%rdi) + vmovdqu %ymm12,128(%rdi) + vmovdqu %ymm13,160(%rdi) + vmovdqu %ymm10,192(%rdi) + vmovdqu %ymm15,224(%rdi) + vmovdqu %ymm14,256(%rdi) + vmovdqu %ymm2,288(%rdi) + vmovdqu %ymm3,320(%rdi) + vmovdqu %ymm7,352(%rdi) + vmovdqu %ymm11,384(%rdi) + vmovdqu %ymm9,416(%rdi) + je .Ldone8x + + leaq 448(%rsi),%rsi + xorq %r9,%r9 + vmovdqa %ymm0,0(%rsp) + leaq 448(%rdi),%rdi + subq $448,%rdx + vmovdqa %ymm4,32(%rsp) + +.Loop_tail8x: + movzbl (%rsi,%r9,1),%eax + movzbl (%rsp,%r9,1),%ecx + leaq 1(%r9),%r9 + xorl %ecx,%eax + movb %al,-1(%rdi,%r9,1) + decq %rdx + jnz .Loop_tail8x + +.Ldone8x: + vzeroall + movaps -168(%r10),%xmm6 + movaps -152(%r10),%xmm7 + movaps -136(%r10),%xmm8 + movaps -120(%r10),%xmm9 + movaps -104(%r10),%xmm10 + movaps -88(%r10),%xmm11 + movaps -72(%r10),%xmm12 + movaps -56(%r10),%xmm13 + movaps -40(%r10),%xmm14 + movaps -24(%r10),%xmm15 + leaq (%r10),%rsp + +.Lavx2_epilogue: + movq 8(%rsp),%rdi + movq 16(%rsp),%rsi + .byte 0xf3,0xc3 + +.LSEH_end_crypton_chacha20_asm_avx2: + +.def se_handler; .scl 3; .type 32; .endef +.p2align 4 +se_handler: + .byte 0xf3,0x0f,0x1e,0xfa + + pushq %rsi + pushq %rdi + pushq %rbx + pushq %rbp + pushq %r12 + pushq %r13 + pushq %r14 + pushq %r15 + pushfq + subq $64,%rsp + + movq 120(%r8),%rax + movq 248(%r8),%rbx + + movq 8(%r9),%rsi + movq 56(%r9),%r11 + + leaq .Lctr32_body(%rip),%r10 + cmpq %r10,%rbx + jb .Lcommon_seh_tail + + movq 152(%r8),%rax + + leaq .Lno_data(%rip),%r10 + cmpq %r10,%rbx + jae .Lcommon_seh_tail + + leaq 64+24+48(%rax),%rax + + movq -8(%rax),%rbx + movq -16(%rax),%rbp + movq -24(%rax),%r12 + movq -32(%rax),%r13 + movq -40(%rax),%r14 + movq -48(%rax),%r15 + movq %rbx,144(%r8) + movq %rbp,160(%r8) + movq %r12,216(%r8) + movq %r13,224(%r8) + movq %r14,232(%r8) + movq %r15,240(%r8) + +.Lcommon_seh_tail: + movq 8(%rax),%rdi + movq 16(%rax),%rsi + movq %rax,152(%r8) + movq %rsi,168(%r8) + movq %rdi,176(%r8) + + movq 40(%r9),%rdi + movq %r8,%rsi + movl $154,%ecx +.long 0xa548f3fc + + movq %r9,%rsi + xorq %rcx,%rcx + movq 8(%rsi),%rdx + movq 0(%rsi),%r8 + movq 16(%rsi),%r9 + movq 40(%rsi),%r10 + leaq 56(%rsi),%r11 + leaq 24(%rsi),%r12 + movq %r10,32(%rsp) + movq %r11,40(%rsp) + movq %r12,48(%rsp) + movq %rcx,56(%rsp) + call *__imp_RtlVirtualUnwind(%rip) + + movl $1,%eax + addq $64,%rsp + popfq + popq %r15 + popq %r14 + popq %r13 + popq %r12 + popq %rbp + popq %rbx + popq %rdi + popq %rsi + .byte 0xf3,0xc3 + + +.def simd_handler; .scl 3; .type 32; .endef +.p2align 4 +simd_handler: + .byte 0xf3,0x0f,0x1e,0xfa + + pushq %rsi + pushq %rdi + pushq %rbx + pushq %rbp + pushq %r12 + pushq %r13 + pushq %r14 + pushq %r15 + pushfq + subq $64,%rsp + + movq 120(%r8),%rax + movq 248(%r8),%rbx + + movq 8(%r9),%rsi + movq 56(%r9),%r11 + + movl 0(%r11),%r10d + leaq (%rsi,%r10,1),%r10 + cmpq %r10,%rbx + jb .Lcommon_seh_tail + + movq 200(%r8),%rax + + movl 4(%r11),%r10d + movl 8(%r11),%ecx + leaq (%rsi,%r10,1),%r10 + cmpq %r10,%rbx + jae .Lcommon_seh_tail + + negq %rcx + leaq -8(%rax,%rcx,1),%rsi + leaq 512(%r8),%rdi + negl %ecx + shrl $3,%ecx +.long 0xa548f3fc + + jmp .Lcommon_seh_tail + + +.section .pdata +.p2align 2 +.rva .LSEH_begin_crypton_chacha20_asm_ctr32 +.rva .LSEH_end_crypton_chacha20_asm_ctr32 +.rva .LSEH_info_crypton_chacha20_asm_ctr32 + +.rva .LSEH_begin_crypton_chacha20_asm_ssse3 +.rva .LSEH_end_crypton_chacha20_asm_ssse3 +.rva .LSEH_info_crypton_chacha20_asm_ssse3 + +.rva .LSEH_begin_crypton_chacha20_asm_128 +.rva .LSEH_end_crypton_chacha20_asm_128 +.rva .LSEH_info_crypton_chacha20_asm_128 + +.rva .LSEH_begin_crypton_chacha20_asm_4x +.rva .LSEH_end_crypton_chacha20_asm_4x +.rva .LSEH_info_crypton_chacha20_asm_4x +.rva .LSEH_begin_crypton_chacha20_asm_4xop +.rva .LSEH_end_crypton_chacha20_asm_4xop +.rva .LSEH_info_crypton_chacha20_asm_4xop +.rva .LSEH_begin_crypton_chacha20_asm_avx2 +.rva .LSEH_end_crypton_chacha20_asm_avx2 +.rva .LSEH_info_crypton_chacha20_asm_avx2 +.section .xdata +.p2align 3 +.LSEH_info_crypton_chacha20_asm_ctr32: +.byte 9,0,0,0 +.rva se_handler + +.LSEH_info_crypton_chacha20_asm_ssse3: +.byte 9,0,0,0 +.rva simd_handler +.rva .Lssse3_body,.Lssse3_epilogue +.long 0x20,0 + +.LSEH_info_crypton_chacha20_asm_128: +.byte 9,0,0,0 +.rva simd_handler +.rva .L128_body,.L128_epilogue +.long 0x60,0 + +.LSEH_info_crypton_chacha20_asm_4x: +.byte 9,0,0,0 +.rva simd_handler +.rva .L4x_body,.L4x_epilogue +.long 0xa0,0 +.LSEH_info_crypton_chacha20_asm_4xop: +.byte 9,0,0,0 +.rva simd_handler +.rva .L4xop_body,.L4xop_epilogue +.long 0xa0,0 +.LSEH_info_crypton_chacha20_asm_avx2: +.byte 9,0,0,0 +.rva simd_handler +.rva .Lavx2_body,.Lavx2_epilogue +.long 0xa0,0 diff --git a/cbits/asm/chacha-x86_64.pl b/cbits/asm/chacha-x86_64.pl new file mode 100644 --- /dev/null +++ b/cbits/asm/chacha-x86_64.pl @@ -0,0 +1,4044 @@ +#!/usr/bin/env perl +# +# ==================================================================== +# Written by Andy Polyakov, @dot-asm, initially for the OpenSSL +# project. +# ==================================================================== +# +# November 2014 +# +# ChaCha20 for x86_64. +# +# December 2016 +# +# Add AVX512F code path. +# +# December 2017 +# +# Add AVX512VL code path. +# +# Performance in cycles per byte out of large buffer. +# +# IALU/gcc 4.8(i) 1x/2xSSSE3(ii) 4xSSSE3 NxAVX(v) +# +# P4 9.48/+99% - - +# Core2 7.83/+55% 7.90/5.76 4.35 +# Westmere 7.19/+50% 5.60/4.50 3.00 +# Sandy Bridge 8.31/+42% 5.45/4.00 2.72 +# Ivy Bridge 6.71/+46% 5.40/? 2.41 +# Haswell 5.92/+43% 5.20/3.45 2.42 1.23 +# Skylake[-X] 5.87/+39% 4.70/3.22 2.31 1.19[0.80(vi)] +# Cannon Lake 5.87/+39% 4.60/3.20 2.26 0.80(vi) +# Rocket Lake 5.86/+39% ? 2.30 0.58 +# Silvermont 12.0/+33% 7.75/6.90 7.03(iii) +# Knights L 11.7/- ? 9.60(iii) 0.80 +# Goldmont 10.6/+17% 5.10/3.52 3.28 +# Sledgehammer 7.28/+52% - - +# Bulldozer 9.66/+28% 9.85/5.35(iv) 3.06(iv) +# Ryzen 5.96/+50% 5.19/3.00 2.40 2.09 +# VIA Nano 10.5/+46% 6.72/6.88 6.05 +# +# (i) compared to older gcc 3.x one can observe >2x improvement on +# most platforms; +# (ii) 2xSSSE3 is code path optimized specifically for 128 bytes used +# by chacha20_poly1305_tls_cipher, results are EVP-free; +# (iii) this is not optimal result for Atom because of MSROM +# limitations, SSE2 can do better, but gain is considered too +# low to justify the [maintenance] effort; +# (iv) Bulldozer actually executes 4xXOP code path that delivers 2.20 +# and 4.85 for 128-byte inputs; +# (v) 8xAVX2, 8xAVX512VL or 16xAVX512F, whichever best applicable; +# (vi) even though Skylake-X can execute AVX512F code and deliver 0.57 +# cpb in single thread, the corresponding capability is suppressed; + +$flavour = shift; +$output = shift; +if ($flavour =~ /\./) { $output = $flavour; undef $flavour; } + +$win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/); + +$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; +( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or +( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or +die "can't locate x86_64-xlate.pl"; + +$avx=undef; + +if (!defined($avx) && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) && + ($ENV{ASM} //= "nasm") && + `"$ENV{ASM}" -v 2>&1` =~ /NASM version ([0-9]+\.[0-9]+)(?:\.([0-9]+))?/) { + $avx = ($1>=2.09) + ($1>=2.10) + ($1>=2.12); + $avx += 1 if ($1==2.11 && $2>=8); +} + +if (!defined($avx) && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) && + ($ENV{ASM} //= "ml64") && + `"$ENV{ASM}" 2>&1` =~ /Version ([0-9]+)\./) { + $avx = ($1>=10) + ($1>=11) + ($1>=14); +} + +$ENV{CC} //= "cc"; +if (!defined($avx) && `$ENV{CC} -Wa,-v -c -o /dev/zero -x assembler /dev/null 2>&1` + =~ /GNU assembler version ([0-9]+)\.([0-9]+)/) { + my $ver = $1 + $2/100.0; # 3.1->3.01, 3.10->3.10 + $avx = ($ver>=2.19) + ($ver>=2.22) + ($ver>=2.25); +} + +if (!defined($avx) && `$ENV{CC} -v 2>&1` + =~ /((?:^clang|LLVM) version|.*based on LLVM) ([0-9]+)\.([0-9]+)/) { + my $ver = $2 + $3/100.0; # 3.1->3.01, 3.10->3.10 + $avx = ($ver>=3.0) + ($ver>3.0); + $avx += ($ver>=7.0) if ($1 =~ /^clang/); +} + +open OUT,"| \"$^X\" \"$xlate\" $flavour \"$output\""; +*STDOUT=*OUT; + +# input parameter block +($out,$inp,$len,$key,$counter)=("%rdi","%rsi","%rdx","%rcx","%r8"); + +$code.=<<___; +.text + +.extern OPENSSL_ia32cap_P + +.align 64 +.Lzero: +.long 0,0,0,0 +.Lone: +.long 1,0,0,0 +.Linc: +.long 0,1,2,3 +.Lfour: +.long 4,4,4,4 +.Lincy: +.long 0,2,4,6,1,3,5,7 +.Leight: +.long 8,8,8,8,8,8,8,8 +.Lrot16: +.byte 0x2,0x3,0x0,0x1, 0x6,0x7,0x4,0x5, 0xa,0xb,0x8,0x9, 0xe,0xf,0xc,0xd +.Lrot24: +.byte 0x3,0x0,0x1,0x2, 0x7,0x4,0x5,0x6, 0xb,0x8,0x9,0xa, 0xf,0xc,0xd,0xe +.Ltwoy: +.long 2,0,0,0, 2,0,0,0 +.align 64 +.Lzeroz: +.long 0,0,0,0, 1,0,0,0, 2,0,0,0, 3,0,0,0 +.Lfourz: +.long 4,0,0,0, 4,0,0,0, 4,0,0,0, 4,0,0,0 +.Lincz: +.long 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15 +.Lsixteen: +.long 16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16 +.Lsigma: +.asciz "expand 32-byte k" +.asciz "ChaCha20 for x86_64, CRYPTOGAMS by \@dot-asm" +___ + +sub AUTOLOAD() # thunk [simplified] 32-bit style perlasm +{ my $opcode = $AUTOLOAD; $opcode =~ s/.*:://; + my $arg = pop; + $arg = "\$$arg" if ($arg*1 eq $arg); + $code .= "\t$opcode\t".join(',',$arg,reverse @_)."\n"; +} + +@x=("%eax","%ebx","%ecx","%edx",map("%r${_}d",(8..11)), + "%nox","%nox","%nox","%nox",map("%r${_}d",(12..15))); +@t=("%esi","%edi"); + +sub ROUND { # critical path is 24 cycles per round +my ($a0,$b0,$c0,$d0)=@_; +my ($a1,$b1,$c1,$d1)=map(($_&~3)+(($_+1)&3),($a0,$b0,$c0,$d0)); +my ($a2,$b2,$c2,$d2)=map(($_&~3)+(($_+1)&3),($a1,$b1,$c1,$d1)); +my ($a3,$b3,$c3,$d3)=map(($_&~3)+(($_+1)&3),($a2,$b2,$c2,$d2)); +my ($xc,$xc_)=map("\"$_\"",@t); +my @x=map("\"$_\"",@x); + + # Consider order in which variables are addressed by their + # index: + # + # a b c d + # + # 0 4 8 12 < even round + # 1 5 9 13 + # 2 6 10 14 + # 3 7 11 15 + # 0 5 10 15 < odd round + # 1 6 11 12 + # 2 7 8 13 + # 3 4 9 14 + # + # 'a', 'b' and 'd's are permanently allocated in registers, + # @x[0..7,12..15], while 'c's are maintained in memory. If + # you observe 'c' column, you'll notice that pair of 'c's is + # invariant between rounds. This means that we have to reload + # them once per round, in the middle. This is why you'll see + # bunch of 'c' stores and loads in the middle, but none in + # the beginning or end. + + # Normally instructions would be interleaved to favour in-order + # execution. Generally out-of-order cores manage it gracefully, + # but not this time for some reason. As in-order execution + # cores are dying breed, old Atom is the only one around, + # instructions are left uninterleaved. Besides, Atom is better + # off executing 1xSSSE3 code anyway... + + ( + "&add (@x[$a0],@x[$b0])", # Q1 + "&xor (@x[$d0],@x[$a0])", + "&rol (@x[$d0],16)", + "&add (@x[$a1],@x[$b1])", # Q2 + "&xor (@x[$d1],@x[$a1])", + "&rol (@x[$d1],16)", + + "&add ($xc,@x[$d0])", + "&xor (@x[$b0],$xc)", + "&rol (@x[$b0],12)", + "&add ($xc_,@x[$d1])", + "&xor (@x[$b1],$xc_)", + "&rol (@x[$b1],12)", + + "&add (@x[$a0],@x[$b0])", + "&xor (@x[$d0],@x[$a0])", + "&rol (@x[$d0],8)", + "&add (@x[$a1],@x[$b1])", + "&xor (@x[$d1],@x[$a1])", + "&rol (@x[$d1],8)", + + "&add ($xc,@x[$d0])", + "&xor (@x[$b0],$xc)", + "&rol (@x[$b0],7)", + "&add ($xc_,@x[$d1])", + "&xor (@x[$b1],$xc_)", + "&rol (@x[$b1],7)", + + "&mov (\"4*$c0(%rsp)\",$xc)", # reload pair of 'c's + "&mov (\"4*$c1(%rsp)\",$xc_)", + "&mov ($xc,\"4*$c2(%rsp)\")", + "&mov ($xc_,\"4*$c3(%rsp)\")", + + "&add (@x[$a2],@x[$b2])", # Q3 + "&xor (@x[$d2],@x[$a2])", + "&rol (@x[$d2],16)", + "&add (@x[$a3],@x[$b3])", # Q4 + "&xor (@x[$d3],@x[$a3])", + "&rol (@x[$d3],16)", + + "&add ($xc,@x[$d2])", + "&xor (@x[$b2],$xc)", + "&rol (@x[$b2],12)", + "&add ($xc_,@x[$d3])", + "&xor (@x[$b3],$xc_)", + "&rol (@x[$b3],12)", + + "&add (@x[$a2],@x[$b2])", + "&xor (@x[$d2],@x[$a2])", + "&rol (@x[$d2],8)", + "&add (@x[$a3],@x[$b3])", + "&xor (@x[$d3],@x[$a3])", + "&rol (@x[$d3],8)", + + "&add ($xc,@x[$d2])", + "&xor (@x[$b2],$xc)", + "&rol (@x[$b2],7)", + "&add ($xc_,@x[$d3])", + "&xor (@x[$b3],$xc_)", + "&rol (@x[$b3],7)" + ); +} + +######################################################################## +# Generic code path that handles all lengths on pre-SSSE3 processors. +$code.=<<___; +.globl ChaCha20_ctr32 +.type ChaCha20_ctr32,\@function,5 +.align 64 +ChaCha20_ctr32: +.cfi_startproc + cmp \$0,$len + je .Lno_data +___ + if ($flavour !~ /kernel/) { +$code.=<<___; + mov OPENSSL_ia32cap_P+4(%rip),%r9 +___ +$code.=<<___ if ($avx>2); + bt \$48,%r9 # check for AVX512F + jc .LChaCha20_avx512 + test %r9,%r9 # check for AVX512VL + js .LChaCha20_avx512vl +___ +$code.=<<___; + test \$`1<<(41-32)`,%r9d + jnz .LChaCha20_ssse3 +___ + } +$code.=<<___; + push %rbx +.cfi_push %rbx + push %rbp +.cfi_push %rbp + push %r12 +.cfi_push %r12 + push %r13 +.cfi_push %r13 + push %r14 +.cfi_push %r14 + push %r15 +.cfi_push %r15 + sub \$64+24,%rsp +.cfi_adjust_cfa_offset 64+24 +.Lctr32_body: + + mov $len,%rbp # reassign $len + + mov 0($key),%r12 # copy key and counter to stack + mov 8($key),%r13 + mov 16($key),%r14 + mov 24($key),%r15 + mov 0($counter),%rax + mov 8($counter),%rdx + mov %r12,4*4(%rsp) + mov %r13,4*6(%rsp) + mov %r14,4*0(%rsp) + mov %r15,4*2(%rsp) + mov %rax,4*12(%rsp) + mov %rdx,4*14(%rsp) + jmp .Loop_outer + +.align 32 +.Loop_outer: + mov \$0x61707865,@x[0] # 'expa' + mov \$0x3320646e,@x[1] # 'nd 3' + mov \$0x79622d32,@x[2] # '2-by' + mov \$0x6b206574,@x[3] # 'te k' + mov 4*4(%rsp),@x[4] + mov 4*5(%rsp),@x[5] + mov 4*6(%rsp),@x[6] + mov 4*7(%rsp),@x[7] + mov 4*12(%rsp),@x[12] + mov 4*13(%rsp),@x[13] + mov 4*14(%rsp),@x[14] + mov %r15,4*10(%rsp) # "@x[10]:@x[11]" + mov 4*15(%rsp),@x[15] + + mov %rbp,64+0(%rsp) # save len + mov $inp,64+8(%rsp) # save inp + mov 0(%rsp),@t[0] # "@x[8]" + mov $out,64+16(%rsp) # save out + mov 4(%rsp),@t[1] # "@x[9]" + mov \$10,%ebp + jmp .Loop + +.align 32 +.Loop: +___ + foreach (&ROUND (0, 4, 8,12)) { eval; } + foreach (&ROUND (0, 5,10,15)) { eval; } + &dec ("%ebp"); + &jnz (".Loop"); + +$code.=<<___; + add 4*0(%rsp),@t[0] # modulo-scheduled + add 4*1(%rsp),@t[1] + mov 64(%rsp),%rbp # load len + mov @t[0],4*8(%rsp) + mov 64+8(%rsp),$inp # load inp + mov @t[1],4*9(%rsp) + mov 64+16(%rsp),$out # load out + + add \$0x61707865,@x[0] # 'expa' + add \$0x3320646e,@x[1] # 'nd 3' + add \$0x79622d32,@x[2] # '2-by' + add \$0x6b206574,@x[3] # 'te k' + add 4*4(%rsp),@x[4] + add 4*5(%rsp),@x[5] + add 4*6(%rsp),@x[6] + add 4*7(%rsp),@x[7] + add 4*12(%rsp),@x[12] + add 4*13(%rsp),@x[13] + add 4*14(%rsp),@x[14] + add 4*15(%rsp),@x[15] + + cmp \$64,%rbp + jb .Ltail + + xor 4*0($inp),@x[0] # xor with input + xor 4*1($inp),@x[1] + xor 4*2($inp),@x[2] + xor 4*3($inp),@x[3] + mov @x[0],4*0($out) # write output + mov 4*8(%rsp),@x[0] # load @x[8]-@x[11] + mov @x[1],4*1($out) + mov 4*9(%rsp),@x[1] + mov @x[2],4*2($out) + mov 4*10(%rsp),@x[2] + mov @x[3],4*3($out) + mov 4*11(%rsp),@x[3] + xor 4*4($inp),@x[4] + add 4*2(%rsp),@x[2] + xor 4*5($inp),@x[5] + add 4*3(%rsp),@x[3] + xor 4*6($inp),@x[6] + xor 4*7($inp),@x[7] + xor 4*8($inp),@x[0] + xor 4*9($inp),@x[1] + xor 4*10($inp),@x[2] + xor 4*11($inp),@x[3] + xor 4*12($inp),@x[12] + xor 4*13($inp),@x[13] + xor 4*14($inp),@x[14] + xor 4*15($inp),@x[15] + lea 4*16($inp),$inp # inp+=64 + + addl \$1,4*12(%rsp) # increment counter + + mov @x[4],4*4($out) + mov @x[5],4*5($out) + mov @x[6],4*6($out) + mov @x[7],4*7($out) + mov @x[0],4*8($out) + mov @x[1],4*9($out) + mov @x[2],4*10($out) + mov @x[3],4*11($out) + mov @x[12],4*12($out) + mov @x[13],4*13($out) + mov @x[14],4*14($out) + mov @x[15],4*15($out) + lea 4*16($out),$out # out+=64 + mov 4*2(%rsp),%r15 + + sub \$64,%rbp + jnz .Loop_outer + + jmp .Ldone + +.align 16 +.Ltail: + mov @x[0],4*0(%rsp) + mov 4*2(%rsp),@x[0] + mov @x[1],4*1(%rsp) + mov 4*3(%rsp),@x[1] + mov @x[2],4*2(%rsp) + add 4*10(%rsp),@x[0] + mov @x[3],4*3(%rsp) + add 4*11(%rsp),@x[1] + mov @x[4],4*4(%rsp) + mov @x[5],4*5(%rsp) + mov @x[6],4*6(%rsp) + mov @x[7],4*7(%rsp) + mov @x[0],4*10(%rsp) + mov @x[1],4*11(%rsp) + xor %rbx,%rbx + mov @x[12],4*12(%rsp) + mov @x[13],4*13(%rsp) + mov @x[14],4*14(%rsp) + mov @x[15],4*15(%rsp) + +.Loop_tail: + movzb ($inp,%rbx),%eax + movzb (%rsp,%rbx),%edx + lea 1(%rbx),%rbx + xor %edx,%eax + mov %al,-1($out,%rbx) + dec %rbp + jnz .Loop_tail + +.Ldone: + lea 64+24+48(%rsp),%rsi +.cfi_def_cfa %rsi,8 + mov -48(%rsi),%r15 +.cfi_restore %r15 + mov -40(%rsi),%r14 +.cfi_restore %r14 + mov -32(%rsi),%r13 +.cfi_restore %r13 + mov -24(%rsi),%r12 +.cfi_restore %r12 + mov -16(%rsi),%rbp +.cfi_restore %rbp + mov -8(%rsi),%rbx +.cfi_restore %rbx + lea (%rsi),%rsp +.cfi_def_cfa_register %rsp +.Lno_data: + ret +.cfi_endproc +.size ChaCha20_ctr32,.-ChaCha20_ctr32 +___ + +######################################################################## +# SSSE3 code path that handles shorter lengths +{ +my ($a,$b,$c,$d,$t,$t1,$rot16,$rot24)=map("%xmm$_",(0..7)); + +sub SSSE3ROUND { # critical path is 20 "SIMD ticks" per round + &paddd ($a,$b); + &pxor ($d,$a); + &pshufb ($d,$rot16); + + &paddd ($c,$d); + &pxor ($b,$c); + &movdqa ($t,$b); + &psrld ($b,20); + &pslld ($t,12); + &por ($b,$t); + + &paddd ($a,$b); + &pxor ($d,$a); + &pshufb ($d,$rot24); + + &paddd ($c,$d); + &pxor ($b,$c); + &movdqa ($t,$b); + &psrld ($b,25); + &pslld ($t,7); + &por ($b,$t); +} + +my $xframe = $win64 ? 32+8 : 8; + +$code.=<<___ if ($flavour =~ /kernel/); +.globl ChaCha20_ssse3 +___ +$code.=<<___; +.type ChaCha20_ssse3,\@function,5 +.align 32 +ChaCha20_ssse3: +.cfi_startproc +.LChaCha20_ssse3: + mov %rsp,%r10 # frame pointer +.cfi_def_cfa_register %r10 +___ +$code.=<<___ if ($avx && $flavour !~ /kernel/); + test \$`1<<(43-32)`,%r9d + jnz .LChaCha20_4xop # XOP is fastest even if we use 1/4 +___ +$code.=<<___; + cmp \$128,$len # we might throw away some data, + je .LChaCha20_128 + ja .LChaCha20_4x # but overall it won't be slower + +.Ldo_sse3_after_all: + sub \$64+$xframe,%rsp + and \$-16,%rsp +___ +$code.=<<___ if ($win64); + movaps %xmm6,-0x28(%r10) + movaps %xmm7,-0x18(%r10) +.Lssse3_body: +___ +$code.=<<___; + movdqa .Lsigma(%rip),$a + movdqu ($key),$b + movdqu 16($key),$c + movdqu ($counter),$d + movdqa .Lrot16(%rip),$rot16 + movdqa .Lrot24(%rip),$rot24 + + movdqa $a,0x00(%rsp) + movdqa $b,0x10(%rsp) + movdqa $c,0x20(%rsp) + movdqa $d,0x30(%rsp) + mov \$10,$counter # reuse $counter + jmp .Loop_ssse3 + +.align 32 +.Loop_outer_ssse3: + movdqa .Lone(%rip),$d + movdqa 0x00(%rsp),$a + movdqa 0x10(%rsp),$b + movdqa 0x20(%rsp),$c + paddd 0x30(%rsp),$d + mov \$10,$counter + movdqa $d,0x30(%rsp) + jmp .Loop_ssse3 + +.align 32 +.Loop_ssse3: +___ + &SSSE3ROUND(); + &pshufd ($c,$c,0b01001110); + &pshufd ($b,$b,0b00111001); + &pshufd ($d,$d,0b10010011); + &nop (); + + &SSSE3ROUND(); + &pshufd ($c,$c,0b01001110); + &pshufd ($b,$b,0b10010011); + &pshufd ($d,$d,0b00111001); + + &dec ($counter); + &jnz (".Loop_ssse3"); + +$code.=<<___; + paddd 0x00(%rsp),$a + paddd 0x10(%rsp),$b + paddd 0x20(%rsp),$c + paddd 0x30(%rsp),$d + + cmp \$64,$len + jb .Ltail_ssse3 + + movdqu 0x00($inp),$t + movdqu 0x10($inp),$t1 + pxor $t,$a # xor with input + movdqu 0x20($inp),$t + pxor $t1,$b + movdqu 0x30($inp),$t1 + lea 0x40($inp),$inp # inp+=64 + pxor $t,$c + pxor $t1,$d + + movdqu $a,0x00($out) # write output + movdqu $b,0x10($out) + movdqu $c,0x20($out) + movdqu $d,0x30($out) + lea 0x40($out),$out # out+=64 + + sub \$64,$len + jnz .Loop_outer_ssse3 + + jmp .Ldone_ssse3 + +.align 16 +.Ltail_ssse3: + movdqa $a,0x00(%rsp) + movdqa $b,0x10(%rsp) + movdqa $c,0x20(%rsp) + movdqa $d,0x30(%rsp) + xor $counter,$counter + +.Loop_tail_ssse3: + movzb ($inp,$counter),%eax + movzb (%rsp,$counter),%ecx + lea 1($counter),$counter + xor %ecx,%eax + mov %al,-1($out,$counter) + dec $len + jnz .Loop_tail_ssse3 + +.Ldone_ssse3: +___ +$code.=<<___ if ($win64); + movaps -0x28(%r10),%xmm6 + movaps -0x18(%r10),%xmm7 +___ +$code.=<<___; + lea (%r10),%rsp +.cfi_def_cfa_register %rsp +.Lssse3_epilogue: + ret +.cfi_endproc +.size ChaCha20_ssse3,.-ChaCha20_ssse3 +___ +} + +######################################################################## +# SSSE3 code path that handles 128-byte inputs +{ +my ($a,$b,$c,$d,$t,$t1,$rot16,$rot24)=map("%xmm$_",(8,9,2..7)); +my ($a1,$b1,$c1,$d1)=map("%xmm$_",(10,11,0,1)); + +sub SSSE3ROUND_2x { + &paddd ($a,$b); + &pxor ($d,$a); + &paddd ($a1,$b1); + &pxor ($d1,$a1); + &pshufb ($d,$rot16); + &pshufb($d1,$rot16); + + &paddd ($c,$d); + &paddd ($c1,$d1); + &pxor ($b,$c); + &pxor ($b1,$c1); + &movdqa ($t,$b); + &psrld ($b,20); + &movdqa($t1,$b1); + &pslld ($t,12); + &psrld ($b1,20); + &por ($b,$t); + &pslld ($t1,12); + &por ($b1,$t1); + + &paddd ($a,$b); + &pxor ($d,$a); + &paddd ($a1,$b1); + &pxor ($d1,$a1); + &pshufb ($d,$rot24); + &pshufb($d1,$rot24); + + &paddd ($c,$d); + &paddd ($c1,$d1); + &pxor ($b,$c); + &pxor ($b1,$c1); + &movdqa ($t,$b); + &psrld ($b,25); + &movdqa($t1,$b1); + &pslld ($t,7); + &psrld ($b1,25); + &por ($b,$t); + &pslld ($t1,7); + &por ($b1,$t1); +} + +my $xframe = $win64 ? 0x68 : 8; + +$code.=<<___; +.type ChaCha20_128,\@function,5 +.align 32 +ChaCha20_128: +.cfi_startproc +.LChaCha20_128: + mov %rsp,%r10 # frame pointer +.cfi_def_cfa_register %r10 + sub \$64+$xframe,%rsp + and \$-16,%rsp +___ +$code.=<<___ if ($win64); + movaps %xmm6,-0x68(%r10) + movaps %xmm7,-0x58(%r10) + movaps %xmm8,-0x48(%r10) + movaps %xmm9,-0x38(%r10) + movaps %xmm10,-0x28(%r10) + movaps %xmm11,-0x18(%r10) +.L128_body: +___ +$code.=<<___; + movdqa .Lsigma(%rip),$a + movdqu ($key),$b + movdqu 16($key),$c + movdqu ($counter),$d + movdqa .Lone(%rip),$d1 + movdqa .Lrot16(%rip),$rot16 + movdqa .Lrot24(%rip),$rot24 + + movdqa $a,$a1 + movdqa $a,0x00(%rsp) + movdqa $b,$b1 + movdqa $b,0x10(%rsp) + movdqa $c,$c1 + movdqa $c,0x20(%rsp) + paddd $d,$d1 + movdqa $d,0x30(%rsp) + mov \$10,$counter # reuse $counter + jmp .Loop_128 + +.align 32 +.Loop_128: +___ + &SSSE3ROUND_2x(); + &pshufd ($c,$c,0b01001110); + &pshufd ($b,$b,0b00111001); + &pshufd ($d,$d,0b10010011); + &pshufd ($c1,$c1,0b01001110); + &pshufd ($b1,$b1,0b00111001); + &pshufd ($d1,$d1,0b10010011); + + &SSSE3ROUND_2x(); + &pshufd ($c,$c,0b01001110); + &pshufd ($b,$b,0b10010011); + &pshufd ($d,$d,0b00111001); + &pshufd ($c1,$c1,0b01001110); + &pshufd ($b1,$b1,0b10010011); + &pshufd ($d1,$d1,0b00111001); + + &dec ($counter); + &jnz (".Loop_128"); + +$code.=<<___; + paddd 0x00(%rsp),$a + paddd 0x10(%rsp),$b + paddd 0x20(%rsp),$c + paddd 0x30(%rsp),$d + paddd .Lone(%rip),$d1 + paddd 0x00(%rsp),$a1 + paddd 0x10(%rsp),$b1 + paddd 0x20(%rsp),$c1 + paddd 0x30(%rsp),$d1 + + movdqu 0x00($inp),$t + movdqu 0x10($inp),$t1 + pxor $t,$a # xor with input + movdqu 0x20($inp),$t + pxor $t1,$b + movdqu 0x30($inp),$t1 + pxor $t,$c + movdqu 0x40($inp),$t + pxor $t1,$d + movdqu 0x50($inp),$t1 + pxor $t,$a1 + movdqu 0x60($inp),$t + pxor $t1,$b1 + movdqu 0x70($inp),$t1 + pxor $t,$c1 + pxor $t1,$d1 + + movdqu $a,0x00($out) # write output + movdqu $b,0x10($out) + movdqu $c,0x20($out) + movdqu $d,0x30($out) + movdqu $a1,0x40($out) + movdqu $b1,0x50($out) + movdqu $c1,0x60($out) + movdqu $d1,0x70($out) +___ +$code.=<<___ if ($win64); + movaps -0x68(%r10),%xmm6 + movaps -0x58(%r10),%xmm7 + movaps -0x48(%r10),%xmm8 + movaps -0x38(%r10),%xmm9 + movaps -0x28(%r10),%xmm10 + movaps -0x18(%r10),%xmm11 +___ +$code.=<<___; + lea (%r10),%rsp +.cfi_def_cfa_register %rsp +.L128_epilogue: + ret +.cfi_endproc +.size ChaCha20_128,.-ChaCha20_128 +___ +} + +######################################################################## +# SSSE3 code path that handles longer messages. +{ +# assign variables to favor Atom front-end +my ($xd0,$xd1,$xd2,$xd3, $xt0,$xt1,$xt2,$xt3, + $xa0,$xa1,$xa2,$xa3, $xb0,$xb1,$xb2,$xb3)=map("%xmm$_",(0..15)); +my @xx=($xa0,$xa1,$xa2,$xa3, $xb0,$xb1,$xb2,$xb3, + "%nox","%nox","%nox","%nox", $xd0,$xd1,$xd2,$xd3); + +sub SSSE3_lane_ROUND { +my ($a0,$b0,$c0,$d0)=@_; +my ($a1,$b1,$c1,$d1)=map(($_&~3)+(($_+1)&3),($a0,$b0,$c0,$d0)); +my ($a2,$b2,$c2,$d2)=map(($_&~3)+(($_+1)&3),($a1,$b1,$c1,$d1)); +my ($a3,$b3,$c3,$d3)=map(($_&~3)+(($_+1)&3),($a2,$b2,$c2,$d2)); +my ($xc,$xc_,$t0,$t1)=map("\"$_\"",$xt0,$xt1,$xt2,$xt3); +my @x=map("\"$_\"",@xx); + + # Consider order in which variables are addressed by their + # index: + # + # a b c d + # + # 0 4 8 12 < even round + # 1 5 9 13 + # 2 6 10 14 + # 3 7 11 15 + # 0 5 10 15 < odd round + # 1 6 11 12 + # 2 7 8 13 + # 3 4 9 14 + # + # 'a', 'b' and 'd's are permanently allocated in registers, + # @x[0..7,12..15], while 'c's are maintained in memory. If + # you observe 'c' column, you'll notice that pair of 'c's is + # invariant between rounds. This means that we have to reload + # them once per round, in the middle. This is why you'll see + # bunch of 'c' stores and loads in the middle, but none in + # the beginning or end. + + ( + "&paddd (@x[$a0],@x[$b0])", # Q1 + "&paddd (@x[$a1],@x[$b1])", # Q2 + "&pxor (@x[$d0],@x[$a0])", + "&pxor (@x[$d1],@x[$a1])", + "&pshufb (@x[$d0],$t1)", + "&pshufb (@x[$d1],$t1)", + + "&paddd ($xc,@x[$d0])", + "&paddd ($xc_,@x[$d1])", + "&pxor (@x[$b0],$xc)", + "&pxor (@x[$b1],$xc_)", + "&movdqa ($t0,@x[$b0])", + "&pslld (@x[$b0],12)", + "&psrld ($t0,20)", + "&movdqa ($t1,@x[$b1])", + "&pslld (@x[$b1],12)", + "&por (@x[$b0],$t0)", + "&psrld ($t1,20)", + "&movdqa ($t0,'(%r11)')", # .Lrot24(%rip) + "&por (@x[$b1],$t1)", + + "&paddd (@x[$a0],@x[$b0])", + "&paddd (@x[$a1],@x[$b1])", + "&pxor (@x[$d0],@x[$a0])", + "&pxor (@x[$d1],@x[$a1])", + "&pshufb (@x[$d0],$t0)", + "&pshufb (@x[$d1],$t0)", + + "&paddd ($xc,@x[$d0])", + "&paddd ($xc_,@x[$d1])", + "&pxor (@x[$b0],$xc)", + "&pxor (@x[$b1],$xc_)", + "&movdqa ($t1,@x[$b0])", + "&pslld (@x[$b0],7)", + "&psrld ($t1,25)", + "&movdqa ($t0,@x[$b1])", + "&pslld (@x[$b1],7)", + "&por (@x[$b0],$t1)", + "&psrld ($t0,25)", + "&movdqa ($t1,'(%r9)')", # .Lrot16(%rip) + "&por (@x[$b1],$t0)", + + "&movdqa (\"`16*($c0-8)`(%rsp)\",$xc)", # reload pair of 'c's + "&movdqa (\"`16*($c1-8)`(%rsp)\",$xc_)", + "&movdqa ($xc,\"`16*($c2-8)`(%rsp)\")", + "&movdqa ($xc_,\"`16*($c3-8)`(%rsp)\")", + + "&paddd (@x[$a2],@x[$b2])", # Q3 + "&paddd (@x[$a3],@x[$b3])", # Q4 + "&pxor (@x[$d2],@x[$a2])", + "&pxor (@x[$d3],@x[$a3])", + "&pshufb (@x[$d2],$t1)", + "&pshufb (@x[$d3],$t1)", + + "&paddd ($xc,@x[$d2])", + "&paddd ($xc_,@x[$d3])", + "&pxor (@x[$b2],$xc)", + "&pxor (@x[$b3],$xc_)", + "&movdqa ($t0,@x[$b2])", + "&pslld (@x[$b2],12)", + "&psrld ($t0,20)", + "&movdqa ($t1,@x[$b3])", + "&pslld (@x[$b3],12)", + "&por (@x[$b2],$t0)", + "&psrld ($t1,20)", + "&movdqa ($t0,'(%r11)')", # .Lrot24(%rip) + "&por (@x[$b3],$t1)", + + "&paddd (@x[$a2],@x[$b2])", + "&paddd (@x[$a3],@x[$b3])", + "&pxor (@x[$d2],@x[$a2])", + "&pxor (@x[$d3],@x[$a3])", + "&pshufb (@x[$d2],$t0)", + "&pshufb (@x[$d3],$t0)", + + "&paddd ($xc,@x[$d2])", + "&paddd ($xc_,@x[$d3])", + "&pxor (@x[$b2],$xc)", + "&pxor (@x[$b3],$xc_)", + "&movdqa ($t1,@x[$b2])", + "&pslld (@x[$b2],7)", + "&psrld ($t1,25)", + "&movdqa ($t0,@x[$b3])", + "&pslld (@x[$b3],7)", + "&por (@x[$b2],$t1)", + "&psrld ($t0,25)", + "&movdqa ($t1,'(%r9)')", # .Lrot16(%rip) + "&por (@x[$b3],$t0)" + ); +} + +my $xframe = $win64 ? 0xa8 : 8; + +$code.=<<___; +.type ChaCha20_4x,\@function,5 +.align 32 +ChaCha20_4x: +.cfi_startproc +.LChaCha20_4x: + mov %rsp,%r10 # frame pointer +.cfi_def_cfa_register %r10 + mov %r9,%r11 +___ +$code.=<<___ if ($avx>1 && $flavour !~ /kernel/); + shr \$32,%r9 # OPENSSL_ia32cap_P+8 + test \$`1<<5`,%r9 # test AVX2 + jnz .LChaCha20_8x +___ +$code.=<<___; + cmp \$192,$len + ja .Lproceed4x + + and \$`1<<26|1<<22`,%r11 # isolate XSAVE+MOVBE + cmp \$`1<<22`,%r11 # check for MOVBE without XSAVE + je .Ldo_sse3_after_all # to detect Atom + +.Lproceed4x: + sub \$0x140+$xframe,%rsp + and \$-16,%rsp +___ + ################ stack layout + # +0x00 SIMD equivalent of @x[8-12] + # ... + # +0x40 constant copy of key[0-2] smashed by lanes + # ... + # +0x100 SIMD counters (with nonce smashed by lanes) + # ... + # +0x140 +$code.=<<___ if ($win64); + movaps %xmm6,-0xa8(%r10) + movaps %xmm7,-0x98(%r10) + movaps %xmm8,-0x88(%r10) + movaps %xmm9,-0x78(%r10) + movaps %xmm10,-0x68(%r10) + movaps %xmm11,-0x58(%r10) + movaps %xmm12,-0x48(%r10) + movaps %xmm13,-0x38(%r10) + movaps %xmm14,-0x28(%r10) + movaps %xmm15,-0x18(%r10) +.L4x_body: +___ +$code.=<<___; + movdqa .Lsigma(%rip),$xa3 # key[0] + movdqu ($key),$xb3 # key[1] + movdqu 16($key),$xt3 # key[2] + movdqu ($counter),$xd3 # key[3] + lea 0x100(%rsp),%rcx # size optimization + lea .Lrot16(%rip),%r9 + lea .Lrot24(%rip),%r11 + + pshufd \$0x00,$xa3,$xa0 # smash key by lanes... + pshufd \$0x55,$xa3,$xa1 + movdqa $xa0,0x40(%rsp) # ... and offload + pshufd \$0xaa,$xa3,$xa2 + movdqa $xa1,0x50(%rsp) + pshufd \$0xff,$xa3,$xa3 + movdqa $xa2,0x60(%rsp) + movdqa $xa3,0x70(%rsp) + + pshufd \$0x00,$xb3,$xb0 + pshufd \$0x55,$xb3,$xb1 + movdqa $xb0,0x80-0x100(%rcx) + pshufd \$0xaa,$xb3,$xb2 + movdqa $xb1,0x90-0x100(%rcx) + pshufd \$0xff,$xb3,$xb3 + movdqa $xb2,0xa0-0x100(%rcx) + movdqa $xb3,0xb0-0x100(%rcx) + + pshufd \$0x00,$xt3,$xt0 # "$xc0" + pshufd \$0x55,$xt3,$xt1 # "$xc1" + movdqa $xt0,0xc0-0x100(%rcx) + pshufd \$0xaa,$xt3,$xt2 # "$xc2" + movdqa $xt1,0xd0-0x100(%rcx) + pshufd \$0xff,$xt3,$xt3 # "$xc3" + movdqa $xt2,0xe0-0x100(%rcx) + movdqa $xt3,0xf0-0x100(%rcx) + + pshufd \$0x00,$xd3,$xd0 + pshufd \$0x55,$xd3,$xd1 + paddd .Linc(%rip),$xd0 # don't save counters yet + pshufd \$0xaa,$xd3,$xd2 + movdqa $xd1,0x110-0x100(%rcx) + pshufd \$0xff,$xd3,$xd3 + movdqa $xd2,0x120-0x100(%rcx) + movdqa $xd3,0x130-0x100(%rcx) + + jmp .Loop_enter4x + +.align 32 +.Loop_outer4x: + movdqa 0x40(%rsp),$xa0 # re-load smashed key + movdqa 0x50(%rsp),$xa1 + movdqa 0x60(%rsp),$xa2 + movdqa 0x70(%rsp),$xa3 + movdqa 0x80-0x100(%rcx),$xb0 + movdqa 0x90-0x100(%rcx),$xb1 + movdqa 0xa0-0x100(%rcx),$xb2 + movdqa 0xb0-0x100(%rcx),$xb3 + movdqa 0xc0-0x100(%rcx),$xt0 # "$xc0" + movdqa 0xd0-0x100(%rcx),$xt1 # "$xc1" + movdqa 0xe0-0x100(%rcx),$xt2 # "$xc2" + movdqa 0xf0-0x100(%rcx),$xt3 # "$xc3" + movdqa 0x100-0x100(%rcx),$xd0 + movdqa 0x110-0x100(%rcx),$xd1 + movdqa 0x120-0x100(%rcx),$xd2 + movdqa 0x130-0x100(%rcx),$xd3 + paddd .Lfour(%rip),$xd0 # next SIMD counters + +.Loop_enter4x: + movdqa $xt2,0x20(%rsp) # SIMD equivalent of "@x[10]" + movdqa $xt3,0x30(%rsp) # SIMD equivalent of "@x[11]" + movdqa (%r9),$xt3 # .Lrot16(%rip) + mov \$10,%eax + movdqa $xd0,0x100-0x100(%rcx) # save SIMD counters + jmp .Loop4x + +.align 32 +.Loop4x: +___ + foreach (&SSSE3_lane_ROUND(0, 4, 8,12)) { eval; } + foreach (&SSSE3_lane_ROUND(0, 5,10,15)) { eval; } +$code.=<<___; + dec %eax + jnz .Loop4x + + paddd 0x40(%rsp),$xa0 # accumulate key material + paddd 0x50(%rsp),$xa1 + paddd 0x60(%rsp),$xa2 + paddd 0x70(%rsp),$xa3 + + movdqa $xa0,$xt2 # "de-interlace" data + punpckldq $xa1,$xa0 + movdqa $xa2,$xt3 + punpckldq $xa3,$xa2 + punpckhdq $xa1,$xt2 + punpckhdq $xa3,$xt3 + movdqa $xa0,$xa1 + punpcklqdq $xa2,$xa0 # "a0" + movdqa $xt2,$xa3 + punpcklqdq $xt3,$xt2 # "a2" + punpckhqdq $xa2,$xa1 # "a1" + punpckhqdq $xt3,$xa3 # "a3" +___ + ($xa2,$xt2)=($xt2,$xa2); +$code.=<<___; + paddd 0x80-0x100(%rcx),$xb0 + paddd 0x90-0x100(%rcx),$xb1 + paddd 0xa0-0x100(%rcx),$xb2 + paddd 0xb0-0x100(%rcx),$xb3 + + movdqa $xa0,0x00(%rsp) # offload $xaN + movdqa $xa1,0x10(%rsp) + movdqa 0x20(%rsp),$xa0 # "xc2" + movdqa 0x30(%rsp),$xa1 # "xc3" + + movdqa $xb0,$xt2 + punpckldq $xb1,$xb0 + movdqa $xb2,$xt3 + punpckldq $xb3,$xb2 + punpckhdq $xb1,$xt2 + punpckhdq $xb3,$xt3 + movdqa $xb0,$xb1 + punpcklqdq $xb2,$xb0 # "b0" + movdqa $xt2,$xb3 + punpcklqdq $xt3,$xt2 # "b2" + punpckhqdq $xb2,$xb1 # "b1" + punpckhqdq $xt3,$xb3 # "b3" +___ + ($xb2,$xt2)=($xt2,$xb2); + my ($xc0,$xc1,$xc2,$xc3)=($xt0,$xt1,$xa0,$xa1); +$code.=<<___; + paddd 0xc0-0x100(%rcx),$xc0 + paddd 0xd0-0x100(%rcx),$xc1 + paddd 0xe0-0x100(%rcx),$xc2 + paddd 0xf0-0x100(%rcx),$xc3 + + movdqa $xa2,0x20(%rsp) # keep offloading $xaN + movdqa $xa3,0x30(%rsp) + + movdqa $xc0,$xt2 + punpckldq $xc1,$xc0 + movdqa $xc2,$xt3 + punpckldq $xc3,$xc2 + punpckhdq $xc1,$xt2 + punpckhdq $xc3,$xt3 + movdqa $xc0,$xc1 + punpcklqdq $xc2,$xc0 # "c0" + movdqa $xt2,$xc3 + punpcklqdq $xt3,$xt2 # "c2" + punpckhqdq $xc2,$xc1 # "c1" + punpckhqdq $xt3,$xc3 # "c3" +___ + ($xc2,$xt2)=($xt2,$xc2); + ($xt0,$xt1)=($xa2,$xa3); # use $xaN as temporary +$code.=<<___; + paddd 0x100-0x100(%rcx),$xd0 + paddd 0x110-0x100(%rcx),$xd1 + paddd 0x120-0x100(%rcx),$xd2 + paddd 0x130-0x100(%rcx),$xd3 + + movdqa $xd0,$xt2 + punpckldq $xd1,$xd0 + movdqa $xd2,$xt3 + punpckldq $xd3,$xd2 + punpckhdq $xd1,$xt2 + punpckhdq $xd3,$xt3 + movdqa $xd0,$xd1 + punpcklqdq $xd2,$xd0 # "d0" + movdqa $xt2,$xd3 + punpcklqdq $xt3,$xt2 # "d2" + punpckhqdq $xd2,$xd1 # "d1" + punpckhqdq $xt3,$xd3 # "d3" +___ + ($xd2,$xt2)=($xt2,$xd2); +$code.=<<___; + cmp \$64*4,$len + jb .Ltail4x + + movdqu 0x00($inp),$xt0 # xor with input + movdqu 0x10($inp),$xt1 + movdqu 0x20($inp),$xt2 + movdqu 0x30($inp),$xt3 + pxor 0x00(%rsp),$xt0 # $xaN is offloaded, remember? + pxor $xb0,$xt1 + pxor $xc0,$xt2 + pxor $xd0,$xt3 + + movdqu $xt0,0x00($out) + movdqu 0x40($inp),$xt0 + movdqu $xt1,0x10($out) + movdqu 0x50($inp),$xt1 + movdqu $xt2,0x20($out) + movdqu 0x60($inp),$xt2 + movdqu $xt3,0x30($out) + movdqu 0x70($inp),$xt3 + lea 0x80($inp),$inp # size optimization + pxor 0x10(%rsp),$xt0 + pxor $xb1,$xt1 + pxor $xc1,$xt2 + pxor $xd1,$xt3 + + movdqu $xt0,0x40($out) + movdqu 0x00($inp),$xt0 + movdqu $xt1,0x50($out) + movdqu 0x10($inp),$xt1 + movdqu $xt2,0x60($out) + movdqu 0x20($inp),$xt2 + movdqu $xt3,0x70($out) + lea 0x80($out),$out # size optimization + movdqu 0x30($inp),$xt3 + pxor 0x20(%rsp),$xt0 + pxor $xb2,$xt1 + pxor $xc2,$xt2 + pxor $xd2,$xt3 + + movdqu $xt0,0x00($out) + movdqu 0x40($inp),$xt0 + movdqu $xt1,0x10($out) + movdqu 0x50($inp),$xt1 + movdqu $xt2,0x20($out) + movdqu 0x60($inp),$xt2 + movdqu $xt3,0x30($out) + movdqu 0x70($inp),$xt3 + lea 0x80($inp),$inp # inp+=64*4 + pxor 0x30(%rsp),$xt0 + pxor $xb3,$xt1 + pxor $xc3,$xt2 + pxor $xd3,$xt3 + movdqu $xt0,0x40($out) + movdqu $xt1,0x50($out) + movdqu $xt2,0x60($out) + movdqu $xt3,0x70($out) + lea 0x80($out),$out # out+=64*4 + + sub \$64*4,$len + jnz .Loop_outer4x + + jmp .Ldone4x + +.Ltail4x: + cmp \$192,$len + jae .L192_or_more4x + cmp \$128,$len + jae .L128_or_more4x + cmp \$64,$len + jae .L64_or_more4x + + #movdqa 0x00(%rsp),$xt0 # $xaN is offloaded, remember? + xor %r9,%r9 + #movdqa $xt0,0x00(%rsp) + movdqa $xb0,0x10(%rsp) + movdqa $xc0,0x20(%rsp) + movdqa $xd0,0x30(%rsp) + jmp .Loop_tail4x + +.align 32 +.L64_or_more4x: + movdqu 0x00($inp),$xt0 # xor with input + movdqu 0x10($inp),$xt1 + movdqu 0x20($inp),$xt2 + movdqu 0x30($inp),$xt3 + pxor 0x00(%rsp),$xt0 # $xaxN is offloaded, remember? + pxor $xb0,$xt1 + pxor $xc0,$xt2 + pxor $xd0,$xt3 + movdqu $xt0,0x00($out) + movdqu $xt1,0x10($out) + movdqu $xt2,0x20($out) + movdqu $xt3,0x30($out) + je .Ldone4x + + movdqa 0x10(%rsp),$xt0 # $xaN is offloaded, remember? + lea 0x40($inp),$inp # inp+=64*1 + xor %r9,%r9 + movdqa $xt0,0x00(%rsp) + movdqa $xb1,0x10(%rsp) + lea 0x40($out),$out # out+=64*1 + movdqa $xc1,0x20(%rsp) + sub \$64,$len # len-=64*1 + movdqa $xd1,0x30(%rsp) + jmp .Loop_tail4x + +.align 32 +.L128_or_more4x: + movdqu 0x00($inp),$xt0 # xor with input + movdqu 0x10($inp),$xt1 + movdqu 0x20($inp),$xt2 + movdqu 0x30($inp),$xt3 + pxor 0x00(%rsp),$xt0 # $xaN is offloaded, remember? + pxor $xb0,$xt1 + pxor $xc0,$xt2 + pxor $xd0,$xt3 + + movdqu $xt0,0x00($out) + movdqu 0x40($inp),$xt0 + movdqu $xt1,0x10($out) + movdqu 0x50($inp),$xt1 + movdqu $xt2,0x20($out) + movdqu 0x60($inp),$xt2 + movdqu $xt3,0x30($out) + movdqu 0x70($inp),$xt3 + pxor 0x10(%rsp),$xt0 + pxor $xb1,$xt1 + pxor $xc1,$xt2 + pxor $xd1,$xt3 + movdqu $xt0,0x40($out) + movdqu $xt1,0x50($out) + movdqu $xt2,0x60($out) + movdqu $xt3,0x70($out) + je .Ldone4x + + movdqa 0x20(%rsp),$xt0 # $xaN is offloaded, remember? + lea 0x80($inp),$inp # inp+=64*2 + xor %r9,%r9 + movdqa $xt0,0x00(%rsp) + movdqa $xb2,0x10(%rsp) + lea 0x80($out),$out # out+=64*2 + movdqa $xc2,0x20(%rsp) + sub \$128,$len # len-=64*2 + movdqa $xd2,0x30(%rsp) + jmp .Loop_tail4x + +.align 32 +.L192_or_more4x: + movdqu 0x00($inp),$xt0 # xor with input + movdqu 0x10($inp),$xt1 + movdqu 0x20($inp),$xt2 + movdqu 0x30($inp),$xt3 + pxor 0x00(%rsp),$xt0 # $xaN is offloaded, remember? + pxor $xb0,$xt1 + pxor $xc0,$xt2 + pxor $xd0,$xt3 + + movdqu $xt0,0x00($out) + movdqu 0x40($inp),$xt0 + movdqu $xt1,0x10($out) + movdqu 0x50($inp),$xt1 + movdqu $xt2,0x20($out) + movdqu 0x60($inp),$xt2 + movdqu $xt3,0x30($out) + movdqu 0x70($inp),$xt3 + lea 0x80($inp),$inp # size optimization + pxor 0x10(%rsp),$xt0 + pxor $xb1,$xt1 + pxor $xc1,$xt2 + pxor $xd1,$xt3 + + movdqu $xt0,0x40($out) + movdqu 0x00($inp),$xt0 + movdqu $xt1,0x50($out) + movdqu 0x10($inp),$xt1 + movdqu $xt2,0x60($out) + movdqu 0x20($inp),$xt2 + movdqu $xt3,0x70($out) + lea 0x80($out),$out # size optimization + movdqu 0x30($inp),$xt3 + pxor 0x20(%rsp),$xt0 + pxor $xb2,$xt1 + pxor $xc2,$xt2 + pxor $xd2,$xt3 + movdqu $xt0,0x00($out) + movdqu $xt1,0x10($out) + movdqu $xt2,0x20($out) + movdqu $xt3,0x30($out) + je .Ldone4x + + movdqa 0x30(%rsp),$xt0 # $xaN is offloaded, remember? + lea 0x40($inp),$inp # inp+=64*3 + xor %r9,%r9 + movdqa $xt0,0x00(%rsp) + movdqa $xb3,0x10(%rsp) + lea 0x40($out),$out # out+=64*3 + movdqa $xc3,0x20(%rsp) + sub \$192,$len # len-=64*3 + movdqa $xd3,0x30(%rsp) + +.Loop_tail4x: + movzb ($inp,%r9),%eax + movzb (%rsp,%r9),%ecx + lea 1(%r9),%r9 + xor %ecx,%eax + mov %al,-1($out,%r9) + dec $len + jnz .Loop_tail4x + +.Ldone4x: +___ +$code.=<<___ if ($win64); + movaps -0xa8(%r10),%xmm6 + movaps -0x98(%r10),%xmm7 + movaps -0x88(%r10),%xmm8 + movaps -0x78(%r10),%xmm9 + movaps -0x68(%r10),%xmm10 + movaps -0x58(%r10),%xmm11 + movaps -0x48(%r10),%xmm12 + movaps -0x38(%r10),%xmm13 + movaps -0x28(%r10),%xmm14 + movaps -0x18(%r10),%xmm15 +___ +$code.=<<___; + lea (%r10),%rsp +.cfi_def_cfa_register %rsp +.L4x_epilogue: + ret +.cfi_endproc +.size ChaCha20_4x,.-ChaCha20_4x +___ +} + +######################################################################## +# XOP code path that handles all lengths. +if ($avx) { +# There is some "anomaly" observed depending on instructions' size or +# alignment. If you look closely at below code you'll notice that +# sometimes argument order varies. The order affects instruction +# encoding by making it larger, and such fiddling gives 5% performance +# improvement. This is on FX-4100... + +my ($xb0,$xb1,$xb2,$xb3, $xd0,$xd1,$xd2,$xd3, + $xa0,$xa1,$xa2,$xa3, $xt0,$xt1,$xt2,$xt3)=map("%xmm$_",(0..15)); +my @xx=($xa0,$xa1,$xa2,$xa3, $xb0,$xb1,$xb2,$xb3, + $xt0,$xt1,$xt2,$xt3, $xd0,$xd1,$xd2,$xd3); + +sub XOP_lane_ROUND { +my ($a0,$b0,$c0,$d0)=@_; +my ($a1,$b1,$c1,$d1)=map(($_&~3)+(($_+1)&3),($a0,$b0,$c0,$d0)); +my ($a2,$b2,$c2,$d2)=map(($_&~3)+(($_+1)&3),($a1,$b1,$c1,$d1)); +my ($a3,$b3,$c3,$d3)=map(($_&~3)+(($_+1)&3),($a2,$b2,$c2,$d2)); +my @x=map("\"$_\"",@xx); + + ( + "&vpaddd (@x[$a0],@x[$a0],@x[$b0])", # Q1 + "&vpaddd (@x[$a1],@x[$a1],@x[$b1])", # Q2 + "&vpaddd (@x[$a2],@x[$a2],@x[$b2])", # Q3 + "&vpaddd (@x[$a3],@x[$a3],@x[$b3])", # Q4 + "&vpxor (@x[$d0],@x[$a0],@x[$d0])", + "&vpxor (@x[$d1],@x[$a1],@x[$d1])", + "&vpxor (@x[$d2],@x[$a2],@x[$d2])", + "&vpxor (@x[$d3],@x[$a3],@x[$d3])", + "&vprotd (@x[$d0],@x[$d0],16)", + "&vprotd (@x[$d1],@x[$d1],16)", + "&vprotd (@x[$d2],@x[$d2],16)", + "&vprotd (@x[$d3],@x[$d3],16)", + + "&vpaddd (@x[$c0],@x[$c0],@x[$d0])", + "&vpaddd (@x[$c1],@x[$c1],@x[$d1])", + "&vpaddd (@x[$c2],@x[$c2],@x[$d2])", + "&vpaddd (@x[$c3],@x[$c3],@x[$d3])", + "&vpxor (@x[$b0],@x[$c0],@x[$b0])", + "&vpxor (@x[$b1],@x[$c1],@x[$b1])", + "&vpxor (@x[$b2],@x[$b2],@x[$c2])", # flip + "&vpxor (@x[$b3],@x[$b3],@x[$c3])", # flip + "&vprotd (@x[$b0],@x[$b0],12)", + "&vprotd (@x[$b1],@x[$b1],12)", + "&vprotd (@x[$b2],@x[$b2],12)", + "&vprotd (@x[$b3],@x[$b3],12)", + + "&vpaddd (@x[$a0],@x[$b0],@x[$a0])", # flip + "&vpaddd (@x[$a1],@x[$b1],@x[$a1])", # flip + "&vpaddd (@x[$a2],@x[$a2],@x[$b2])", + "&vpaddd (@x[$a3],@x[$a3],@x[$b3])", + "&vpxor (@x[$d0],@x[$a0],@x[$d0])", + "&vpxor (@x[$d1],@x[$a1],@x[$d1])", + "&vpxor (@x[$d2],@x[$a2],@x[$d2])", + "&vpxor (@x[$d3],@x[$a3],@x[$d3])", + "&vprotd (@x[$d0],@x[$d0],8)", + "&vprotd (@x[$d1],@x[$d1],8)", + "&vprotd (@x[$d2],@x[$d2],8)", + "&vprotd (@x[$d3],@x[$d3],8)", + + "&vpaddd (@x[$c0],@x[$c0],@x[$d0])", + "&vpaddd (@x[$c1],@x[$c1],@x[$d1])", + "&vpaddd (@x[$c2],@x[$c2],@x[$d2])", + "&vpaddd (@x[$c3],@x[$c3],@x[$d3])", + "&vpxor (@x[$b0],@x[$c0],@x[$b0])", + "&vpxor (@x[$b1],@x[$c1],@x[$b1])", + "&vpxor (@x[$b2],@x[$b2],@x[$c2])", # flip + "&vpxor (@x[$b3],@x[$b3],@x[$c3])", # flip + "&vprotd (@x[$b0],@x[$b0],7)", + "&vprotd (@x[$b1],@x[$b1],7)", + "&vprotd (@x[$b2],@x[$b2],7)", + "&vprotd (@x[$b3],@x[$b3],7)" + ); +} + +my $xframe = $win64 ? 0xa8 : 8; + +$code.=<<___ if ($flavour =~ /kernel/); +.globl ChaCha20_4xop +___ +$code.=<<___; +.type ChaCha20_4xop,\@function,5 +.align 32 +ChaCha20_4xop: +.cfi_startproc +.LChaCha20_4xop: + mov %rsp,%r10 # frame pointer +.cfi_def_cfa_register %r10 + sub \$0x140+$xframe,%rsp + and \$-16,%rsp +___ + ################ stack layout + # +0x00 SIMD equivalent of @x[8-12] + # ... + # +0x40 constant copy of key[0-2] smashed by lanes + # ... + # +0x100 SIMD counters (with nonce smashed by lanes) + # ... + # +0x140 +$code.=<<___ if ($win64); + movaps %xmm6,-0xa8(%r10) + movaps %xmm7,-0x98(%r10) + movaps %xmm8,-0x88(%r10) + movaps %xmm9,-0x78(%r10) + movaps %xmm10,-0x68(%r10) + movaps %xmm11,-0x58(%r10) + movaps %xmm12,-0x48(%r10) + movaps %xmm13,-0x38(%r10) + movaps %xmm14,-0x28(%r10) + movaps %xmm15,-0x18(%r10) +.L4xop_body: +___ +$code.=<<___; + vzeroupper + + vmovdqa .Lsigma(%rip),$xa3 # key[0] + vmovdqu ($key),$xb3 # key[1] + vmovdqu 16($key),$xt3 # key[2] + vmovdqu ($counter),$xd3 # key[3] + lea 0x100(%rsp),%rcx # size optimization + + vpshufd \$0x00,$xa3,$xa0 # smash key by lanes... + vpshufd \$0x55,$xa3,$xa1 + vmovdqa $xa0,0x40(%rsp) # ... and offload + vpshufd \$0xaa,$xa3,$xa2 + vmovdqa $xa1,0x50(%rsp) + vpshufd \$0xff,$xa3,$xa3 + vmovdqa $xa2,0x60(%rsp) + vmovdqa $xa3,0x70(%rsp) + + vpshufd \$0x00,$xb3,$xb0 + vpshufd \$0x55,$xb3,$xb1 + vmovdqa $xb0,0x80-0x100(%rcx) + vpshufd \$0xaa,$xb3,$xb2 + vmovdqa $xb1,0x90-0x100(%rcx) + vpshufd \$0xff,$xb3,$xb3 + vmovdqa $xb2,0xa0-0x100(%rcx) + vmovdqa $xb3,0xb0-0x100(%rcx) + + vpshufd \$0x00,$xt3,$xt0 # "$xc0" + vpshufd \$0x55,$xt3,$xt1 # "$xc1" + vmovdqa $xt0,0xc0-0x100(%rcx) + vpshufd \$0xaa,$xt3,$xt2 # "$xc2" + vmovdqa $xt1,0xd0-0x100(%rcx) + vpshufd \$0xff,$xt3,$xt3 # "$xc3" + vmovdqa $xt2,0xe0-0x100(%rcx) + vmovdqa $xt3,0xf0-0x100(%rcx) + + vpshufd \$0x00,$xd3,$xd0 + vpshufd \$0x55,$xd3,$xd1 + vpaddd .Linc(%rip),$xd0,$xd0 # don't save counters yet + vpshufd \$0xaa,$xd3,$xd2 + vmovdqa $xd1,0x110-0x100(%rcx) + vpshufd \$0xff,$xd3,$xd3 + vmovdqa $xd2,0x120-0x100(%rcx) + vmovdqa $xd3,0x130-0x100(%rcx) + + jmp .Loop_enter4xop + +.align 32 +.Loop_outer4xop: + vmovdqa 0x40(%rsp),$xa0 # re-load smashed key + vmovdqa 0x50(%rsp),$xa1 + vmovdqa 0x60(%rsp),$xa2 + vmovdqa 0x70(%rsp),$xa3 + vmovdqa 0x80-0x100(%rcx),$xb0 + vmovdqa 0x90-0x100(%rcx),$xb1 + vmovdqa 0xa0-0x100(%rcx),$xb2 + vmovdqa 0xb0-0x100(%rcx),$xb3 + vmovdqa 0xc0-0x100(%rcx),$xt0 # "$xc0" + vmovdqa 0xd0-0x100(%rcx),$xt1 # "$xc1" + vmovdqa 0xe0-0x100(%rcx),$xt2 # "$xc2" + vmovdqa 0xf0-0x100(%rcx),$xt3 # "$xc3" + vmovdqa 0x100-0x100(%rcx),$xd0 + vmovdqa 0x110-0x100(%rcx),$xd1 + vmovdqa 0x120-0x100(%rcx),$xd2 + vmovdqa 0x130-0x100(%rcx),$xd3 + vpaddd .Lfour(%rip),$xd0,$xd0 # next SIMD counters + +.Loop_enter4xop: + mov \$10,%eax + vmovdqa $xd0,0x100-0x100(%rcx) # save SIMD counters + jmp .Loop4xop + +.align 32 +.Loop4xop: +___ + foreach (&XOP_lane_ROUND(0, 4, 8,12)) { eval; } + foreach (&XOP_lane_ROUND(0, 5,10,15)) { eval; } +$code.=<<___; + dec %eax + jnz .Loop4xop + + vpaddd 0x40(%rsp),$xa0,$xa0 # accumulate key material + vpaddd 0x50(%rsp),$xa1,$xa1 + vpaddd 0x60(%rsp),$xa2,$xa2 + vpaddd 0x70(%rsp),$xa3,$xa3 + + vmovdqa $xt2,0x20(%rsp) # offload $xc2,3 + vmovdqa $xt3,0x30(%rsp) + + vpunpckldq $xa1,$xa0,$xt2 # "de-interlace" data + vpunpckldq $xa3,$xa2,$xt3 + vpunpckhdq $xa1,$xa0,$xa0 + vpunpckhdq $xa3,$xa2,$xa2 + vpunpcklqdq $xt3,$xt2,$xa1 # "a0" + vpunpckhqdq $xt3,$xt2,$xt2 # "a1" + vpunpcklqdq $xa2,$xa0,$xa3 # "a2" + vpunpckhqdq $xa2,$xa0,$xa0 # "a3" +___ + ($xa0,$xa1,$xa2,$xa3,$xt2)=($xa1,$xt2,$xa3,$xa0,$xa2); +$code.=<<___; + vpaddd 0x80-0x100(%rcx),$xb0,$xb0 + vpaddd 0x90-0x100(%rcx),$xb1,$xb1 + vpaddd 0xa0-0x100(%rcx),$xb2,$xb2 + vpaddd 0xb0-0x100(%rcx),$xb3,$xb3 + + vmovdqa $xa0,0x00(%rsp) # offload $xa0,1 + vmovdqa $xa1,0x10(%rsp) + vmovdqa 0x20(%rsp),$xa0 # "xc2" + vmovdqa 0x30(%rsp),$xa1 # "xc3" + + vpunpckldq $xb1,$xb0,$xt2 + vpunpckldq $xb3,$xb2,$xt3 + vpunpckhdq $xb1,$xb0,$xb0 + vpunpckhdq $xb3,$xb2,$xb2 + vpunpcklqdq $xt3,$xt2,$xb1 # "b0" + vpunpckhqdq $xt3,$xt2,$xt2 # "b1" + vpunpcklqdq $xb2,$xb0,$xb3 # "b2" + vpunpckhqdq $xb2,$xb0,$xb0 # "b3" +___ + ($xb0,$xb1,$xb2,$xb3,$xt2)=($xb1,$xt2,$xb3,$xb0,$xb2); + my ($xc0,$xc1,$xc2,$xc3)=($xt0,$xt1,$xa0,$xa1); +$code.=<<___; + vpaddd 0xc0-0x100(%rcx),$xc0,$xc0 + vpaddd 0xd0-0x100(%rcx),$xc1,$xc1 + vpaddd 0xe0-0x100(%rcx),$xc2,$xc2 + vpaddd 0xf0-0x100(%rcx),$xc3,$xc3 + + vpunpckldq $xc1,$xc0,$xt2 + vpunpckldq $xc3,$xc2,$xt3 + vpunpckhdq $xc1,$xc0,$xc0 + vpunpckhdq $xc3,$xc2,$xc2 + vpunpcklqdq $xt3,$xt2,$xc1 # "c0" + vpunpckhqdq $xt3,$xt2,$xt2 # "c1" + vpunpcklqdq $xc2,$xc0,$xc3 # "c2" + vpunpckhqdq $xc2,$xc0,$xc0 # "c3" +___ + ($xc0,$xc1,$xc2,$xc3,$xt2)=($xc1,$xt2,$xc3,$xc0,$xc2); +$code.=<<___; + vpaddd 0x100-0x100(%rcx),$xd0,$xd0 + vpaddd 0x110-0x100(%rcx),$xd1,$xd1 + vpaddd 0x120-0x100(%rcx),$xd2,$xd2 + vpaddd 0x130-0x100(%rcx),$xd3,$xd3 + + vpunpckldq $xd1,$xd0,$xt2 + vpunpckldq $xd3,$xd2,$xt3 + vpunpckhdq $xd1,$xd0,$xd0 + vpunpckhdq $xd3,$xd2,$xd2 + vpunpcklqdq $xt3,$xt2,$xd1 # "d0" + vpunpckhqdq $xt3,$xt2,$xt2 # "d1" + vpunpcklqdq $xd2,$xd0,$xd3 # "d2" + vpunpckhqdq $xd2,$xd0,$xd0 # "d3" +___ + ($xd0,$xd1,$xd2,$xd3,$xt2)=($xd1,$xt2,$xd3,$xd0,$xd2); + ($xa0,$xa1)=($xt2,$xt3); +$code.=<<___; + vmovdqa 0x00(%rsp),$xa0 # restore $xa0,1 + vmovdqa 0x10(%rsp),$xa1 + + cmp \$64*4,$len + jb .Ltail4xop + + vpxor 0x00($inp),$xa0,$xa0 # xor with input + vpxor 0x10($inp),$xb0,$xb0 + vpxor 0x20($inp),$xc0,$xc0 + vpxor 0x30($inp),$xd0,$xd0 + vpxor 0x40($inp),$xa1,$xa1 + vpxor 0x50($inp),$xb1,$xb1 + vpxor 0x60($inp),$xc1,$xc1 + vpxor 0x70($inp),$xd1,$xd1 + lea 0x80($inp),$inp # size optimization + vpxor 0x00($inp),$xa2,$xa2 + vpxor 0x10($inp),$xb2,$xb2 + vpxor 0x20($inp),$xc2,$xc2 + vpxor 0x30($inp),$xd2,$xd2 + vpxor 0x40($inp),$xa3,$xa3 + vpxor 0x50($inp),$xb3,$xb3 + vpxor 0x60($inp),$xc3,$xc3 + vpxor 0x70($inp),$xd3,$xd3 + lea 0x80($inp),$inp # inp+=64*4 + + vmovdqu $xa0,0x00($out) + vmovdqu $xb0,0x10($out) + vmovdqu $xc0,0x20($out) + vmovdqu $xd0,0x30($out) + vmovdqu $xa1,0x40($out) + vmovdqu $xb1,0x50($out) + vmovdqu $xc1,0x60($out) + vmovdqu $xd1,0x70($out) + lea 0x80($out),$out # size optimization + vmovdqu $xa2,0x00($out) + vmovdqu $xb2,0x10($out) + vmovdqu $xc2,0x20($out) + vmovdqu $xd2,0x30($out) + vmovdqu $xa3,0x40($out) + vmovdqu $xb3,0x50($out) + vmovdqu $xc3,0x60($out) + vmovdqu $xd3,0x70($out) + lea 0x80($out),$out # out+=64*4 + + sub \$64*4,$len + jnz .Loop_outer4xop + + jmp .Ldone4xop + +.align 32 +.Ltail4xop: + cmp \$192,$len + jae .L192_or_more4xop + cmp \$128,$len + jae .L128_or_more4xop + cmp \$64,$len + jae .L64_or_more4xop + + xor %r9,%r9 + vmovdqa $xa0,0x00(%rsp) + vmovdqa $xb0,0x10(%rsp) + vmovdqa $xc0,0x20(%rsp) + vmovdqa $xd0,0x30(%rsp) + jmp .Loop_tail4xop + +.align 32 +.L64_or_more4xop: + vpxor 0x00($inp),$xa0,$xa0 # xor with input + vpxor 0x10($inp),$xb0,$xb0 + vpxor 0x20($inp),$xc0,$xc0 + vpxor 0x30($inp),$xd0,$xd0 + vmovdqu $xa0,0x00($out) + vmovdqu $xb0,0x10($out) + vmovdqu $xc0,0x20($out) + vmovdqu $xd0,0x30($out) + je .Ldone4xop + + lea 0x40($inp),$inp # inp+=64*1 + vmovdqa $xa1,0x00(%rsp) + xor %r9,%r9 + vmovdqa $xb1,0x10(%rsp) + lea 0x40($out),$out # out+=64*1 + vmovdqa $xc1,0x20(%rsp) + sub \$64,$len # len-=64*1 + vmovdqa $xd1,0x30(%rsp) + jmp .Loop_tail4xop + +.align 32 +.L128_or_more4xop: + vpxor 0x00($inp),$xa0,$xa0 # xor with input + vpxor 0x10($inp),$xb0,$xb0 + vpxor 0x20($inp),$xc0,$xc0 + vpxor 0x30($inp),$xd0,$xd0 + vpxor 0x40($inp),$xa1,$xa1 + vpxor 0x50($inp),$xb1,$xb1 + vpxor 0x60($inp),$xc1,$xc1 + vpxor 0x70($inp),$xd1,$xd1 + + vmovdqu $xa0,0x00($out) + vmovdqu $xb0,0x10($out) + vmovdqu $xc0,0x20($out) + vmovdqu $xd0,0x30($out) + vmovdqu $xa1,0x40($out) + vmovdqu $xb1,0x50($out) + vmovdqu $xc1,0x60($out) + vmovdqu $xd1,0x70($out) + je .Ldone4xop + + lea 0x80($inp),$inp # inp+=64*2 + vmovdqa $xa2,0x00(%rsp) + xor %r9,%r9 + vmovdqa $xb2,0x10(%rsp) + lea 0x80($out),$out # out+=64*2 + vmovdqa $xc2,0x20(%rsp) + sub \$128,$len # len-=64*2 + vmovdqa $xd2,0x30(%rsp) + jmp .Loop_tail4xop + +.align 32 +.L192_or_more4xop: + vpxor 0x00($inp),$xa0,$xa0 # xor with input + vpxor 0x10($inp),$xb0,$xb0 + vpxor 0x20($inp),$xc0,$xc0 + vpxor 0x30($inp),$xd0,$xd0 + vpxor 0x40($inp),$xa1,$xa1 + vpxor 0x50($inp),$xb1,$xb1 + vpxor 0x60($inp),$xc1,$xc1 + vpxor 0x70($inp),$xd1,$xd1 + lea 0x80($inp),$inp # size optimization + vpxor 0x00($inp),$xa2,$xa2 + vpxor 0x10($inp),$xb2,$xb2 + vpxor 0x20($inp),$xc2,$xc2 + vpxor 0x30($inp),$xd2,$xd2 + + vmovdqu $xa0,0x00($out) + vmovdqu $xb0,0x10($out) + vmovdqu $xc0,0x20($out) + vmovdqu $xd0,0x30($out) + vmovdqu $xa1,0x40($out) + vmovdqu $xb1,0x50($out) + vmovdqu $xc1,0x60($out) + vmovdqu $xd1,0x70($out) + lea 0x80($out),$out # size optimization + vmovdqu $xa2,0x00($out) + vmovdqu $xb2,0x10($out) + vmovdqu $xc2,0x20($out) + vmovdqu $xd2,0x30($out) + je .Ldone4xop + + lea 0x40($inp),$inp # inp+=64*3 + vmovdqa $xa3,0x00(%rsp) + xor %r9,%r9 + vmovdqa $xb3,0x10(%rsp) + lea 0x40($out),$out # out+=64*3 + vmovdqa $xc3,0x20(%rsp) + sub \$192,$len # len-=64*3 + vmovdqa $xd3,0x30(%rsp) + +.Loop_tail4xop: + movzb ($inp,%r9),%eax + movzb (%rsp,%r9),%ecx + lea 1(%r9),%r9 + xor %ecx,%eax + mov %al,-1($out,%r9) + dec $len + jnz .Loop_tail4xop + +.Ldone4xop: + vzeroupper +___ +$code.=<<___ if ($win64); + movaps -0xa8(%r10),%xmm6 + movaps -0x98(%r10),%xmm7 + movaps -0x88(%r10),%xmm8 + movaps -0x78(%r10),%xmm9 + movaps -0x68(%r10),%xmm10 + movaps -0x58(%r10),%xmm11 + movaps -0x48(%r10),%xmm12 + movaps -0x38(%r10),%xmm13 + movaps -0x28(%r10),%xmm14 + movaps -0x18(%r10),%xmm15 +___ +$code.=<<___; + lea (%r10),%rsp +.cfi_def_cfa_register %rsp +.L4xop_epilogue: + ret +.cfi_endproc +.size ChaCha20_4xop,.-ChaCha20_4xop +___ +} + +######################################################################## +# AVX2 code path +if ($avx>1) { +my ($xb0,$xb1,$xb2,$xb3, $xd0,$xd1,$xd2,$xd3, + $xa0,$xa1,$xa2,$xa3, $xt0,$xt1,$xt2,$xt3)=map("%ymm$_",(0..15)); +my @xx=($xa0,$xa1,$xa2,$xa3, $xb0,$xb1,$xb2,$xb3, + "%nox","%nox","%nox","%nox", $xd0,$xd1,$xd2,$xd3); + +sub AVX2_lane_ROUND { +my ($a0,$b0,$c0,$d0)=@_; +my ($a1,$b1,$c1,$d1)=map(($_&~3)+(($_+1)&3),($a0,$b0,$c0,$d0)); +my ($a2,$b2,$c2,$d2)=map(($_&~3)+(($_+1)&3),($a1,$b1,$c1,$d1)); +my ($a3,$b3,$c3,$d3)=map(($_&~3)+(($_+1)&3),($a2,$b2,$c2,$d2)); +my ($xc,$xc_,$t0,$t1)=map("\"$_\"",$xt0,$xt1,$xt2,$xt3); +my @x=map("\"$_\"",@xx); + + # Consider order in which variables are addressed by their + # index: + # + # a b c d + # + # 0 4 8 12 < even round + # 1 5 9 13 + # 2 6 10 14 + # 3 7 11 15 + # 0 5 10 15 < odd round + # 1 6 11 12 + # 2 7 8 13 + # 3 4 9 14 + # + # 'a', 'b' and 'd's are permanently allocated in registers, + # @x[0..7,12..15], while 'c's are maintained in memory. If + # you observe 'c' column, you'll notice that pair of 'c's is + # invariant between rounds. This means that we have to reload + # them once per round, in the middle. This is why you'll see + # bunch of 'c' stores and loads in the middle, but none in + # the beginning or end. + + ( + "&vpaddd (@x[$a0],@x[$a0],@x[$b0])", # Q1 + "&vpxor (@x[$d0],@x[$a0],@x[$d0])", + "&vpshufb (@x[$d0],@x[$d0],$t1)", + "&vpaddd (@x[$a1],@x[$a1],@x[$b1])", # Q2 + "&vpxor (@x[$d1],@x[$a1],@x[$d1])", + "&vpshufb (@x[$d1],@x[$d1],$t1)", + + "&vpaddd ($xc,$xc,@x[$d0])", + "&vpxor (@x[$b0],$xc,@x[$b0])", + "&vpslld ($t0,@x[$b0],12)", + "&vpsrld (@x[$b0],@x[$b0],20)", + "&vpor (@x[$b0],$t0,@x[$b0])", + "&vbroadcasti128($t0,'(%r11)')", # .Lrot24(%rip) + "&vpaddd ($xc_,$xc_,@x[$d1])", + "&vpxor (@x[$b1],$xc_,@x[$b1])", + "&vpslld ($t1,@x[$b1],12)", + "&vpsrld (@x[$b1],@x[$b1],20)", + "&vpor (@x[$b1],$t1,@x[$b1])", + + "&vpaddd (@x[$a0],@x[$a0],@x[$b0])", + "&vpxor (@x[$d0],@x[$a0],@x[$d0])", + "&vpshufb (@x[$d0],@x[$d0],$t0)", + "&vpaddd (@x[$a1],@x[$a1],@x[$b1])", + "&vpxor (@x[$d1],@x[$a1],@x[$d1])", + "&vpshufb (@x[$d1],@x[$d1],$t0)", + + "&vpaddd ($xc,$xc,@x[$d0])", + "&vpxor (@x[$b0],$xc,@x[$b0])", + "&vpslld ($t1,@x[$b0],7)", + "&vpsrld (@x[$b0],@x[$b0],25)", + "&vpor (@x[$b0],$t1,@x[$b0])", + "&vbroadcasti128($t1,'(%r9)')", # .Lrot16(%rip) + "&vpaddd ($xc_,$xc_,@x[$d1])", + "&vpxor (@x[$b1],$xc_,@x[$b1])", + "&vpslld ($t0,@x[$b1],7)", + "&vpsrld (@x[$b1],@x[$b1],25)", + "&vpor (@x[$b1],$t0,@x[$b1])", + + "&vmovdqa (\"`32*($c0-8)`(%rsp)\",$xc)", # reload pair of 'c's + "&vmovdqa (\"`32*($c1-8)`(%rsp)\",$xc_)", + "&vmovdqa ($xc,\"`32*($c2-8)`(%rsp)\")", + "&vmovdqa ($xc_,\"`32*($c3-8)`(%rsp)\")", + + "&vpaddd (@x[$a2],@x[$a2],@x[$b2])", # Q3 + "&vpxor (@x[$d2],@x[$a2],@x[$d2])", + "&vpshufb (@x[$d2],@x[$d2],$t1)", + "&vpaddd (@x[$a3],@x[$a3],@x[$b3])", # Q4 + "&vpxor (@x[$d3],@x[$a3],@x[$d3])", + "&vpshufb (@x[$d3],@x[$d3],$t1)", + + "&vpaddd ($xc,$xc,@x[$d2])", + "&vpxor (@x[$b2],$xc,@x[$b2])", + "&vpslld ($t0,@x[$b2],12)", + "&vpsrld (@x[$b2],@x[$b2],20)", + "&vpor (@x[$b2],$t0,@x[$b2])", + "&vbroadcasti128($t0,'(%r11)')", # .Lrot24(%rip) + "&vpaddd ($xc_,$xc_,@x[$d3])", + "&vpxor (@x[$b3],$xc_,@x[$b3])", + "&vpslld ($t1,@x[$b3],12)", + "&vpsrld (@x[$b3],@x[$b3],20)", + "&vpor (@x[$b3],$t1,@x[$b3])", + + "&vpaddd (@x[$a2],@x[$a2],@x[$b2])", + "&vpxor (@x[$d2],@x[$a2],@x[$d2])", + "&vpshufb (@x[$d2],@x[$d2],$t0)", + "&vpaddd (@x[$a3],@x[$a3],@x[$b3])", + "&vpxor (@x[$d3],@x[$a3],@x[$d3])", + "&vpshufb (@x[$d3],@x[$d3],$t0)", + + "&vpaddd ($xc,$xc,@x[$d2])", + "&vpxor (@x[$b2],$xc,@x[$b2])", + "&vpslld ($t1,@x[$b2],7)", + "&vpsrld (@x[$b2],@x[$b2],25)", + "&vpor (@x[$b2],$t1,@x[$b2])", + "&vbroadcasti128($t1,'(%r9)')", # .Lrot16(%rip) + "&vpaddd ($xc_,$xc_,@x[$d3])", + "&vpxor (@x[$b3],$xc_,@x[$b3])", + "&vpslld ($t0,@x[$b3],7)", + "&vpsrld (@x[$b3],@x[$b3],25)", + "&vpor (@x[$b3],$t0,@x[$b3])" + ); +} + +my $xframe = $win64 ? 0xa8 : 8; + +$code.=<<___ if ($flavour =~ /kernel/); +.globl ChaCha20_avx2 +___ +$code.=<<___; +.type ChaCha20_avx2,\@function,5 +.align 32 +ChaCha20_avx2: +.cfi_startproc +.LChaCha20_8x: + mov %rsp,%r10 # frame register +.cfi_def_cfa_register %r10 + sub \$0x280+$xframe,%rsp + and \$-32,%rsp +___ +$code.=<<___ if ($win64); + movaps %xmm6,-0xa8(%r10) + movaps %xmm7,-0x98(%r10) + movaps %xmm8,-0x88(%r10) + movaps %xmm9,-0x78(%r10) + movaps %xmm10,-0x68(%r10) + movaps %xmm11,-0x58(%r10) + movaps %xmm12,-0x48(%r10) + movaps %xmm13,-0x38(%r10) + movaps %xmm14,-0x28(%r10) + movaps %xmm15,-0x18(%r10) +.Lavx2_body: +___ +$code.=<<___; + vzeroupper + + ################ stack layout + # +0x00 SIMD equivalent of @x[8-12] + # ... + # +0x80 constant copy of key[0-2] smashed by lanes + # ... + # +0x200 SIMD counters (with nonce smashed by lanes) + # ... + # +0x280 + + vbroadcasti128 .Lsigma(%rip),$xa3 # key[0] + vbroadcasti128 ($key),$xb3 # key[1] + vbroadcasti128 16($key),$xt3 # key[2] + vbroadcasti128 ($counter),$xd3 # key[3] + lea 0x100(%rsp),%rcx # size optimization + lea 0x200(%rsp),%rax # size optimization + lea .Lrot16(%rip),%r9 + lea .Lrot24(%rip),%r11 + + vpshufd \$0x00,$xa3,$xa0 # smash key by lanes... + vpshufd \$0x55,$xa3,$xa1 + vmovdqa $xa0,0x80-0x100(%rcx) # ... and offload + vpshufd \$0xaa,$xa3,$xa2 + vmovdqa $xa1,0xa0-0x100(%rcx) + vpshufd \$0xff,$xa3,$xa3 + vmovdqa $xa2,0xc0-0x100(%rcx) + vmovdqa $xa3,0xe0-0x100(%rcx) + + vpshufd \$0x00,$xb3,$xb0 + vpshufd \$0x55,$xb3,$xb1 + vmovdqa $xb0,0x100-0x100(%rcx) + vpshufd \$0xaa,$xb3,$xb2 + vmovdqa $xb1,0x120-0x100(%rcx) + vpshufd \$0xff,$xb3,$xb3 + vmovdqa $xb2,0x140-0x100(%rcx) + vmovdqa $xb3,0x160-0x100(%rcx) + + vpshufd \$0x00,$xt3,$xt0 # "xc0" + vpshufd \$0x55,$xt3,$xt1 # "xc1" + vmovdqa $xt0,0x180-0x200(%rax) + vpshufd \$0xaa,$xt3,$xt2 # "xc2" + vmovdqa $xt1,0x1a0-0x200(%rax) + vpshufd \$0xff,$xt3,$xt3 # "xc3" + vmovdqa $xt2,0x1c0-0x200(%rax) + vmovdqa $xt3,0x1e0-0x200(%rax) + + vpshufd \$0x00,$xd3,$xd0 + vpshufd \$0x55,$xd3,$xd1 + vpaddd .Lincy(%rip),$xd0,$xd0 # don't save counters yet + vpshufd \$0xaa,$xd3,$xd2 + vmovdqa $xd1,0x220-0x200(%rax) + vpshufd \$0xff,$xd3,$xd3 + vmovdqa $xd2,0x240-0x200(%rax) + vmovdqa $xd3,0x260-0x200(%rax) + + jmp .Loop_enter8x + +.align 32 +.Loop_outer8x: + vmovdqa 0x80-0x100(%rcx),$xa0 # re-load smashed key + vmovdqa 0xa0-0x100(%rcx),$xa1 + vmovdqa 0xc0-0x100(%rcx),$xa2 + vmovdqa 0xe0-0x100(%rcx),$xa3 + vmovdqa 0x100-0x100(%rcx),$xb0 + vmovdqa 0x120-0x100(%rcx),$xb1 + vmovdqa 0x140-0x100(%rcx),$xb2 + vmovdqa 0x160-0x100(%rcx),$xb3 + vmovdqa 0x180-0x200(%rax),$xt0 # "xc0" + vmovdqa 0x1a0-0x200(%rax),$xt1 # "xc1" + vmovdqa 0x1c0-0x200(%rax),$xt2 # "xc2" + vmovdqa 0x1e0-0x200(%rax),$xt3 # "xc3" + vmovdqa 0x200-0x200(%rax),$xd0 + vmovdqa 0x220-0x200(%rax),$xd1 + vmovdqa 0x240-0x200(%rax),$xd2 + vmovdqa 0x260-0x200(%rax),$xd3 + vpaddd .Leight(%rip),$xd0,$xd0 # next SIMD counters + +.Loop_enter8x: + vmovdqa $xt2,0x40(%rsp) # SIMD equivalent of "@x[10]" + vmovdqa $xt3,0x60(%rsp) # SIMD equivalent of "@x[11]" + vbroadcasti128 (%r9),$xt3 + vmovdqa $xd0,0x200-0x200(%rax) # save SIMD counters + mov \$10,%eax + jmp .Loop8x + +.align 32 +.Loop8x: +___ + foreach (&AVX2_lane_ROUND(0, 4, 8,12)) { eval; } + foreach (&AVX2_lane_ROUND(0, 5,10,15)) { eval; } +$code.=<<___; + dec %eax + jnz .Loop8x + + lea 0x200(%rsp),%rax # size optimization + vpaddd 0x80-0x100(%rcx),$xa0,$xa0 # accumulate key + vpaddd 0xa0-0x100(%rcx),$xa1,$xa1 + vpaddd 0xc0-0x100(%rcx),$xa2,$xa2 + vpaddd 0xe0-0x100(%rcx),$xa3,$xa3 + + vpunpckldq $xa1,$xa0,$xt2 # "de-interlace" data + vpunpckldq $xa3,$xa2,$xt3 + vpunpckhdq $xa1,$xa0,$xa0 + vpunpckhdq $xa3,$xa2,$xa2 + vpunpcklqdq $xt3,$xt2,$xa1 # "a0" + vpunpckhqdq $xt3,$xt2,$xt2 # "a1" + vpunpcklqdq $xa2,$xa0,$xa3 # "a2" + vpunpckhqdq $xa2,$xa0,$xa0 # "a3" +___ + ($xa0,$xa1,$xa2,$xa3,$xt2)=($xa1,$xt2,$xa3,$xa0,$xa2); +$code.=<<___; + vpaddd 0x100-0x100(%rcx),$xb0,$xb0 + vpaddd 0x120-0x100(%rcx),$xb1,$xb1 + vpaddd 0x140-0x100(%rcx),$xb2,$xb2 + vpaddd 0x160-0x100(%rcx),$xb3,$xb3 + + vpunpckldq $xb1,$xb0,$xt2 + vpunpckldq $xb3,$xb2,$xt3 + vpunpckhdq $xb1,$xb0,$xb0 + vpunpckhdq $xb3,$xb2,$xb2 + vpunpcklqdq $xt3,$xt2,$xb1 # "b0" + vpunpckhqdq $xt3,$xt2,$xt2 # "b1" + vpunpcklqdq $xb2,$xb0,$xb3 # "b2" + vpunpckhqdq $xb2,$xb0,$xb0 # "b3" +___ + ($xb0,$xb1,$xb2,$xb3,$xt2)=($xb1,$xt2,$xb3,$xb0,$xb2); +$code.=<<___; + vperm2i128 \$0x20,$xb0,$xa0,$xt3 # "de-interlace" further + vperm2i128 \$0x31,$xb0,$xa0,$xb0 + vperm2i128 \$0x20,$xb1,$xa1,$xa0 + vperm2i128 \$0x31,$xb1,$xa1,$xb1 + vperm2i128 \$0x20,$xb2,$xa2,$xa1 + vperm2i128 \$0x31,$xb2,$xa2,$xb2 + vperm2i128 \$0x20,$xb3,$xa3,$xa2 + vperm2i128 \$0x31,$xb3,$xa3,$xb3 +___ + ($xa0,$xa1,$xa2,$xa3,$xt3)=($xt3,$xa0,$xa1,$xa2,$xa3); + my ($xc0,$xc1,$xc2,$xc3)=($xt0,$xt1,$xa0,$xa1); +$code.=<<___; + vmovdqa $xa0,0x00(%rsp) # offload $xaN + vmovdqa $xa1,0x20(%rsp) + vmovdqa 0x40(%rsp),$xc2 # $xa0 + vmovdqa 0x60(%rsp),$xc3 # $xa1 + + vpaddd 0x180-0x200(%rax),$xc0,$xc0 + vpaddd 0x1a0-0x200(%rax),$xc1,$xc1 + vpaddd 0x1c0-0x200(%rax),$xc2,$xc2 + vpaddd 0x1e0-0x200(%rax),$xc3,$xc3 + + vpunpckldq $xc1,$xc0,$xt2 + vpunpckldq $xc3,$xc2,$xt3 + vpunpckhdq $xc1,$xc0,$xc0 + vpunpckhdq $xc3,$xc2,$xc2 + vpunpcklqdq $xt3,$xt2,$xc1 # "c0" + vpunpckhqdq $xt3,$xt2,$xt2 # "c1" + vpunpcklqdq $xc2,$xc0,$xc3 # "c2" + vpunpckhqdq $xc2,$xc0,$xc0 # "c3" +___ + ($xc0,$xc1,$xc2,$xc3,$xt2)=($xc1,$xt2,$xc3,$xc0,$xc2); +$code.=<<___; + vpaddd 0x200-0x200(%rax),$xd0,$xd0 + vpaddd 0x220-0x200(%rax),$xd1,$xd1 + vpaddd 0x240-0x200(%rax),$xd2,$xd2 + vpaddd 0x260-0x200(%rax),$xd3,$xd3 + + vpunpckldq $xd1,$xd0,$xt2 + vpunpckldq $xd3,$xd2,$xt3 + vpunpckhdq $xd1,$xd0,$xd0 + vpunpckhdq $xd3,$xd2,$xd2 + vpunpcklqdq $xt3,$xt2,$xd1 # "d0" + vpunpckhqdq $xt3,$xt2,$xt2 # "d1" + vpunpcklqdq $xd2,$xd0,$xd3 # "d2" + vpunpckhqdq $xd2,$xd0,$xd0 # "d3" +___ + ($xd0,$xd1,$xd2,$xd3,$xt2)=($xd1,$xt2,$xd3,$xd0,$xd2); +$code.=<<___; + vperm2i128 \$0x20,$xd0,$xc0,$xt3 # "de-interlace" further + vperm2i128 \$0x31,$xd0,$xc0,$xd0 + vperm2i128 \$0x20,$xd1,$xc1,$xc0 + vperm2i128 \$0x31,$xd1,$xc1,$xd1 + vperm2i128 \$0x20,$xd2,$xc2,$xc1 + vperm2i128 \$0x31,$xd2,$xc2,$xd2 + vperm2i128 \$0x20,$xd3,$xc3,$xc2 + vperm2i128 \$0x31,$xd3,$xc3,$xd3 +___ + ($xc0,$xc1,$xc2,$xc3,$xt3)=($xt3,$xc0,$xc1,$xc2,$xc3); + ($xb0,$xb1,$xb2,$xb3,$xc0,$xc1,$xc2,$xc3)= + ($xc0,$xc1,$xc2,$xc3,$xb0,$xb1,$xb2,$xb3); + ($xa0,$xa1)=($xt2,$xt3); +$code.=<<___; + vmovdqa 0x00(%rsp),$xa0 # $xaN was offloaded, remember? + vmovdqa 0x20(%rsp),$xa1 + + cmp \$64*8,$len + jb .Ltail8x + + vpxor 0x00($inp),$xa0,$xa0 # xor with input + vpxor 0x20($inp),$xb0,$xb0 + vpxor 0x40($inp),$xc0,$xc0 + vpxor 0x60($inp),$xd0,$xd0 + lea 0x80($inp),$inp # size optimization + vmovdqu $xa0,0x00($out) + vmovdqu $xb0,0x20($out) + vmovdqu $xc0,0x40($out) + vmovdqu $xd0,0x60($out) + lea 0x80($out),$out # size optimization + + vpxor 0x00($inp),$xa1,$xa1 + vpxor 0x20($inp),$xb1,$xb1 + vpxor 0x40($inp),$xc1,$xc1 + vpxor 0x60($inp),$xd1,$xd1 + lea 0x80($inp),$inp # size optimization + vmovdqu $xa1,0x00($out) + vmovdqu $xb1,0x20($out) + vmovdqu $xc1,0x40($out) + vmovdqu $xd1,0x60($out) + lea 0x80($out),$out # size optimization + + vpxor 0x00($inp),$xa2,$xa2 + vpxor 0x20($inp),$xb2,$xb2 + vpxor 0x40($inp),$xc2,$xc2 + vpxor 0x60($inp),$xd2,$xd2 + lea 0x80($inp),$inp # size optimization + vmovdqu $xa2,0x00($out) + vmovdqu $xb2,0x20($out) + vmovdqu $xc2,0x40($out) + vmovdqu $xd2,0x60($out) + lea 0x80($out),$out # size optimization + + vpxor 0x00($inp),$xa3,$xa3 + vpxor 0x20($inp),$xb3,$xb3 + vpxor 0x40($inp),$xc3,$xc3 + vpxor 0x60($inp),$xd3,$xd3 + lea 0x80($inp),$inp # size optimization + vmovdqu $xa3,0x00($out) + vmovdqu $xb3,0x20($out) + vmovdqu $xc3,0x40($out) + vmovdqu $xd3,0x60($out) + lea 0x80($out),$out # size optimization + + sub \$64*8,$len + jnz .Loop_outer8x + + jmp .Ldone8x + +.Ltail8x: + cmp \$448,$len + jae .L448_or_more8x + cmp \$384,$len + jae .L384_or_more8x + cmp \$320,$len + jae .L320_or_more8x + cmp \$256,$len + jae .L256_or_more8x + cmp \$192,$len + jae .L192_or_more8x + cmp \$128,$len + jae .L128_or_more8x + cmp \$64,$len + jae .L64_or_more8x + + xor %r9,%r9 + vmovdqa $xa0,0x00(%rsp) + vmovdqa $xb0,0x20(%rsp) + jmp .Loop_tail8x + +.align 32 +.L64_or_more8x: + vpxor 0x00($inp),$xa0,$xa0 # xor with input + vpxor 0x20($inp),$xb0,$xb0 + vmovdqu $xa0,0x00($out) + vmovdqu $xb0,0x20($out) + je .Ldone8x + + lea 0x40($inp),$inp # inp+=64*1 + xor %r9,%r9 + vmovdqa $xc0,0x00(%rsp) + lea 0x40($out),$out # out+=64*1 + sub \$64,$len # len-=64*1 + vmovdqa $xd0,0x20(%rsp) + jmp .Loop_tail8x + +.align 32 +.L128_or_more8x: + vpxor 0x00($inp),$xa0,$xa0 # xor with input + vpxor 0x20($inp),$xb0,$xb0 + vpxor 0x40($inp),$xc0,$xc0 + vpxor 0x60($inp),$xd0,$xd0 + vmovdqu $xa0,0x00($out) + vmovdqu $xb0,0x20($out) + vmovdqu $xc0,0x40($out) + vmovdqu $xd0,0x60($out) + je .Ldone8x + + lea 0x80($inp),$inp # inp+=64*2 + xor %r9,%r9 + vmovdqa $xa1,0x00(%rsp) + lea 0x80($out),$out # out+=64*2 + sub \$128,$len # len-=64*2 + vmovdqa $xb1,0x20(%rsp) + jmp .Loop_tail8x + +.align 32 +.L192_or_more8x: + vpxor 0x00($inp),$xa0,$xa0 # xor with input + vpxor 0x20($inp),$xb0,$xb0 + vpxor 0x40($inp),$xc0,$xc0 + vpxor 0x60($inp),$xd0,$xd0 + vpxor 0x80($inp),$xa1,$xa1 + vpxor 0xa0($inp),$xb1,$xb1 + vmovdqu $xa0,0x00($out) + vmovdqu $xb0,0x20($out) + vmovdqu $xc0,0x40($out) + vmovdqu $xd0,0x60($out) + vmovdqu $xa1,0x80($out) + vmovdqu $xb1,0xa0($out) + je .Ldone8x + + lea 0xc0($inp),$inp # inp+=64*3 + xor %r9,%r9 + vmovdqa $xc1,0x00(%rsp) + lea 0xc0($out),$out # out+=64*3 + sub \$192,$len # len-=64*3 + vmovdqa $xd1,0x20(%rsp) + jmp .Loop_tail8x + +.align 32 +.L256_or_more8x: + vpxor 0x00($inp),$xa0,$xa0 # xor with input + vpxor 0x20($inp),$xb0,$xb0 + vpxor 0x40($inp),$xc0,$xc0 + vpxor 0x60($inp),$xd0,$xd0 + vpxor 0x80($inp),$xa1,$xa1 + vpxor 0xa0($inp),$xb1,$xb1 + vpxor 0xc0($inp),$xc1,$xc1 + vpxor 0xe0($inp),$xd1,$xd1 + vmovdqu $xa0,0x00($out) + vmovdqu $xb0,0x20($out) + vmovdqu $xc0,0x40($out) + vmovdqu $xd0,0x60($out) + vmovdqu $xa1,0x80($out) + vmovdqu $xb1,0xa0($out) + vmovdqu $xc1,0xc0($out) + vmovdqu $xd1,0xe0($out) + je .Ldone8x + + lea 0x100($inp),$inp # inp+=64*4 + xor %r9,%r9 + vmovdqa $xa2,0x00(%rsp) + lea 0x100($out),$out # out+=64*4 + sub \$256,$len # len-=64*4 + vmovdqa $xb2,0x20(%rsp) + jmp .Loop_tail8x + +.align 32 +.L320_or_more8x: + vpxor 0x00($inp),$xa0,$xa0 # xor with input + vpxor 0x20($inp),$xb0,$xb0 + vpxor 0x40($inp),$xc0,$xc0 + vpxor 0x60($inp),$xd0,$xd0 + vpxor 0x80($inp),$xa1,$xa1 + vpxor 0xa0($inp),$xb1,$xb1 + vpxor 0xc0($inp),$xc1,$xc1 + vpxor 0xe0($inp),$xd1,$xd1 + vpxor 0x100($inp),$xa2,$xa2 + vpxor 0x120($inp),$xb2,$xb2 + vmovdqu $xa0,0x00($out) + vmovdqu $xb0,0x20($out) + vmovdqu $xc0,0x40($out) + vmovdqu $xd0,0x60($out) + vmovdqu $xa1,0x80($out) + vmovdqu $xb1,0xa0($out) + vmovdqu $xc1,0xc0($out) + vmovdqu $xd1,0xe0($out) + vmovdqu $xa2,0x100($out) + vmovdqu $xb2,0x120($out) + je .Ldone8x + + lea 0x140($inp),$inp # inp+=64*5 + xor %r9,%r9 + vmovdqa $xc2,0x00(%rsp) + lea 0x140($out),$out # out+=64*5 + sub \$320,$len # len-=64*5 + vmovdqa $xd2,0x20(%rsp) + jmp .Loop_tail8x + +.align 32 +.L384_or_more8x: + vpxor 0x00($inp),$xa0,$xa0 # xor with input + vpxor 0x20($inp),$xb0,$xb0 + vpxor 0x40($inp),$xc0,$xc0 + vpxor 0x60($inp),$xd0,$xd0 + vpxor 0x80($inp),$xa1,$xa1 + vpxor 0xa0($inp),$xb1,$xb1 + vpxor 0xc0($inp),$xc1,$xc1 + vpxor 0xe0($inp),$xd1,$xd1 + vpxor 0x100($inp),$xa2,$xa2 + vpxor 0x120($inp),$xb2,$xb2 + vpxor 0x140($inp),$xc2,$xc2 + vpxor 0x160($inp),$xd2,$xd2 + vmovdqu $xa0,0x00($out) + vmovdqu $xb0,0x20($out) + vmovdqu $xc0,0x40($out) + vmovdqu $xd0,0x60($out) + vmovdqu $xa1,0x80($out) + vmovdqu $xb1,0xa0($out) + vmovdqu $xc1,0xc0($out) + vmovdqu $xd1,0xe0($out) + vmovdqu $xa2,0x100($out) + vmovdqu $xb2,0x120($out) + vmovdqu $xc2,0x140($out) + vmovdqu $xd2,0x160($out) + je .Ldone8x + + lea 0x180($inp),$inp # inp+=64*6 + xor %r9,%r9 + vmovdqa $xa3,0x00(%rsp) + lea 0x180($out),$out # out+=64*6 + sub \$384,$len # len-=64*6 + vmovdqa $xb3,0x20(%rsp) + jmp .Loop_tail8x + +.align 32 +.L448_or_more8x: + vpxor 0x00($inp),$xa0,$xa0 # xor with input + vpxor 0x20($inp),$xb0,$xb0 + vpxor 0x40($inp),$xc0,$xc0 + vpxor 0x60($inp),$xd0,$xd0 + vpxor 0x80($inp),$xa1,$xa1 + vpxor 0xa0($inp),$xb1,$xb1 + vpxor 0xc0($inp),$xc1,$xc1 + vpxor 0xe0($inp),$xd1,$xd1 + vpxor 0x100($inp),$xa2,$xa2 + vpxor 0x120($inp),$xb2,$xb2 + vpxor 0x140($inp),$xc2,$xc2 + vpxor 0x160($inp),$xd2,$xd2 + vpxor 0x180($inp),$xa3,$xa3 + vpxor 0x1a0($inp),$xb3,$xb3 + vmovdqu $xa0,0x00($out) + vmovdqu $xb0,0x20($out) + vmovdqu $xc0,0x40($out) + vmovdqu $xd0,0x60($out) + vmovdqu $xa1,0x80($out) + vmovdqu $xb1,0xa0($out) + vmovdqu $xc1,0xc0($out) + vmovdqu $xd1,0xe0($out) + vmovdqu $xa2,0x100($out) + vmovdqu $xb2,0x120($out) + vmovdqu $xc2,0x140($out) + vmovdqu $xd2,0x160($out) + vmovdqu $xa3,0x180($out) + vmovdqu $xb3,0x1a0($out) + je .Ldone8x + + lea 0x1c0($inp),$inp # inp+=64*7 + xor %r9,%r9 + vmovdqa $xc3,0x00(%rsp) + lea 0x1c0($out),$out # out+=64*7 + sub \$448,$len # len-=64*7 + vmovdqa $xd3,0x20(%rsp) + +.Loop_tail8x: + movzb ($inp,%r9),%eax + movzb (%rsp,%r9),%ecx + lea 1(%r9),%r9 + xor %ecx,%eax + mov %al,-1($out,%r9) + dec $len + jnz .Loop_tail8x + +.Ldone8x: + vzeroall +___ +$code.=<<___ if ($win64); + movaps -0xa8(%r10),%xmm6 + movaps -0x98(%r10),%xmm7 + movaps -0x88(%r10),%xmm8 + movaps -0x78(%r10),%xmm9 + movaps -0x68(%r10),%xmm10 + movaps -0x58(%r10),%xmm11 + movaps -0x48(%r10),%xmm12 + movaps -0x38(%r10),%xmm13 + movaps -0x28(%r10),%xmm14 + movaps -0x18(%r10),%xmm15 +___ +$code.=<<___; + lea (%r10),%rsp +.cfi_def_cfa_register %rsp +.Lavx2_epilogue: + ret +.cfi_endproc +.size ChaCha20_avx2,.-ChaCha20_avx2 +___ +} + +######################################################################## +# AVX512 code paths +if ($avx>2) { +# This one handles shorter inputs... + +my ($a,$b,$c,$d, $a_,$b_,$c_,$d_,$fourz) = map("%zmm$_",(0..3,16..20)); +my ($t0,$t1,$t2,$t3) = map("%xmm$_",(4..7)); + +sub vpxord() # size optimization +{ my $opcode = "vpxor"; # adhere to vpxor when possible + + foreach (@_) { + if (/%([zy])mm([0-9]+)/ && ($1 eq "z" || $2>=16)) { + $opcode = "vpxord"; + last; + } + } + + $code .= "\t$opcode\t".join(',',reverse @_)."\n"; +} + +sub AVX512ROUND { # critical path is 14 "SIMD ticks" per round + &vpaddd ($a,$a,$b); + &vpxord ($d,$d,$a); + &vprold ($d,$d,16); + + &vpaddd ($c,$c,$d); + &vpxord ($b,$b,$c); + &vprold ($b,$b,12); + + &vpaddd ($a,$a,$b); + &vpxord ($d,$d,$a); + &vprold ($d,$d,8); + + &vpaddd ($c,$c,$d); + &vpxord ($b,$b,$c); + &vprold ($b,$b,7); +} + +my $xframe = $win64 ? 32+8 : 8; + +$code.=<<___ if ($flavour =~ /kernel/); +.globl ChaCha20_avx512 +___ +$code.=<<___; +.type ChaCha20_avx512,\@function,5 +.align 32 +ChaCha20_avx512: +.cfi_startproc +.LChaCha20_avx512: + mov %rsp,%r10 # frame pointer +.cfi_def_cfa_register %r10 + cmp \$512,$len + ja .LChaCha20_16x + + sub \$64+$xframe,%rsp + and \$-16,%rsp +___ +$code.=<<___ if ($win64); + movaps %xmm6,-0x28(%r10) + movaps %xmm7,-0x18(%r10) +.Lavx512_body: +___ +$code.=<<___; + vbroadcasti32x4 .Lsigma(%rip),$a + vbroadcasti32x4 ($key),$b_ + vbroadcasti32x4 16($key),$c_ + vbroadcasti32x4 ($counter),$d_ + + vmovdqa32 $a,$a_ + vmovdqa32 .Lfourz(%rip),$fourz + vpaddd .Lzeroz(%rip),$d_,$d + jmp .Loop_outer_avx512 + +.align 32 +.Loop_outer_avx512: + vmovdqa32 $b_,$b + vmovdqa32 $c_,$c + vmovdqa32 $d,$d_ + mov \$10,$counter # reuse $counter + jmp .Loop_avx512 + +.align 32 +.Loop_avx512: +___ + &AVX512ROUND(); + &vpshufd ($c,$c,0b01001110); + &vpshufd ($b,$b,0b00111001); + &vpshufd ($d,$d,0b10010011); + + &AVX512ROUND(); + &vpshufd ($c,$c,0b01001110); + &vpshufd ($b,$b,0b10010011); + &vpshufd ($d,$d,0b00111001); + + &dec ($counter); + &jnz (".Loop_avx512"); + +$code.=<<___; + vpaddd $a_,$a,$a + vpaddd $b_,$b,$b + vpaddd $c_,$c,$c + vpaddd $d_,$d,$d + + sub \$64,$len + jb .Ltail64_avx512 + + vpxor 0x00($inp),%x#$a,$t0 # xor with input + vpxor 0x10($inp),%x#$b,$t1 + vpxor 0x20($inp),%x#$c,$t2 + vpxor 0x30($inp),%x#$d,$t3 + lea 0x40($inp),$inp # inp+=64 + + vmovdqu $t0,0x00($out) # write output + vmovdqu $t1,0x10($out) + vmovdqu $t2,0x20($out) + vmovdqu $t3,0x30($out) + lea 0x40($out),$out # out+=64 + + jz .Ldone_avx512 + + vextracti32x4 \$1,$a,$t0 + vextracti32x4 \$1,$b,$t1 + vextracti32x4 \$1,$c,$t2 + vextracti32x4 \$1,$d,$t3 + + sub \$64,$len + jb .Ltail_avx512 + + vpxor 0x00($inp),$t0,$t0 # xor with input + vpxor 0x10($inp),$t1,$t1 + vpxor 0x20($inp),$t2,$t2 + vpxor 0x30($inp),$t3,$t3 + lea 0x40($inp),$inp # inp+=64 + + vmovdqu $t0,0x00($out) # write output + vmovdqu $t1,0x10($out) + vmovdqu $t2,0x20($out) + vmovdqu $t3,0x30($out) + lea 0x40($out),$out # out+=64 + + jz .Ldone_avx512 + + vextracti32x4 \$2,$a,$t0 + vextracti32x4 \$2,$b,$t1 + vextracti32x4 \$2,$c,$t2 + vextracti32x4 \$2,$d,$t3 + + sub \$64,$len + jb .Ltail_avx512 + + vpxor 0x00($inp),$t0,$t0 # xor with input + vpxor 0x10($inp),$t1,$t1 + vpxor 0x20($inp),$t2,$t2 + vpxor 0x30($inp),$t3,$t3 + lea 0x40($inp),$inp # inp+=64 + + vmovdqu $t0,0x00($out) # write output + vmovdqu $t1,0x10($out) + vmovdqu $t2,0x20($out) + vmovdqu $t3,0x30($out) + lea 0x40($out),$out # out+=64 + + jz .Ldone_avx512 + + vextracti32x4 \$3,$a,$t0 + vextracti32x4 \$3,$b,$t1 + vextracti32x4 \$3,$c,$t2 + vextracti32x4 \$3,$d,$t3 + + sub \$64,$len + jb .Ltail_avx512 + + vmovdqa32 $a_,$a + vpaddd $fourz,$d_,$d + + vpxor 0x00($inp),$t0,$t0 # xor with input + vpxor 0x10($inp),$t1,$t1 + vpxor 0x20($inp),$t2,$t2 + vpxor 0x30($inp),$t3,$t3 + lea 0x40($inp),$inp # inp+=64 + + vmovdqu $t0,0x00($out) # write output + vmovdqu $t1,0x10($out) + vmovdqu $t2,0x20($out) + vmovdqu $t3,0x30($out) + lea 0x40($out),$out # out+=64 + + jnz .Loop_outer_avx512 + + jmp .Ldone_avx512 + +.align 16 +.Ltail64_avx512: + vmovdqa %x#$a,0x00(%rsp) + vmovdqa %x#$b,0x10(%rsp) + vmovdqa %x#$c,0x20(%rsp) + vmovdqa %x#$d,0x30(%rsp) + add \$64,$len + jmp .Loop_tail_avx512 + +.align 16 +.Ltail_avx512: + vmovdqa $t0,0x00(%rsp) + vmovdqa $t1,0x10(%rsp) + vmovdqa $t2,0x20(%rsp) + vmovdqa $t3,0x30(%rsp) + add \$64,$len + +.Loop_tail_avx512: + movzb ($inp,$counter),%eax + movzb (%rsp,$counter),%ecx + lea 1($counter),$counter + xor %ecx,%eax + mov %al,-1($out,$counter) + dec $len + jnz .Loop_tail_avx512 + + vmovdqu32 $a_,0x00(%rsp) + +.Ldone_avx512: + vzeroall +___ +$code.=<<___ if ($win64); + movaps -0x28(%r10),%xmm6 + movaps -0x18(%r10),%xmm7 +___ +$code.=<<___; + lea (%r10),%rsp +.cfi_def_cfa_register %rsp +.Lavx512_epilogue: + ret +.cfi_endproc +.size ChaCha20_avx512,.-ChaCha20_avx512 +___ + +map(s/%z/%y/, $a,$b,$c,$d, $a_,$b_,$c_,$d_,$fourz); + +$code.=<<___ if ($flavour =~ /kernel/); +.globl ChaCha20_avx512vl +___ +$code.=<<___; +.type ChaCha20_avx512vl,\@function,5 +.align 32 +ChaCha20_avx512vl: +.cfi_startproc +.LChaCha20_avx512vl: + mov %rsp,%r10 # frame pointer +.cfi_def_cfa_register %r10 + cmp \$128,$len + ja .LChaCha20_8xvl + + sub \$64+$xframe,%rsp +___ +$code.=<<___ if ($win64); + movaps %xmm6,-0x28(%r10) + movaps %xmm7,-0x18(%r10) +.Lavx512vl_body: +___ +$code.=<<___; + vbroadcasti32x4 .Lsigma(%rip),$a + vbroadcasti32x4 ($key),$b_ + vbroadcasti32x4 16($key),$c_ + vbroadcasti32x4 ($counter),$d_ + + vmovdqa32 $a,$a_ + vmovdqa32 .Ltwoy(%rip),$fourz + vpaddd .Lzeroz(%rip),$d_,$d + jmp .Loop_outer_avx512vl + +.align 32 +.Loop_outer_avx512vl: + vmovdqa32 $b_,$b + vmovdqa32 $c_,$c + vmovdqa32 $d,$d_ + mov \$10,$counter # reuse $counter + jmp .Loop_avx512vl + +.align 32 +.Loop_avx512vl: +___ + &AVX512ROUND(); + &vpshufd ($c,$c,0b01001110); + &vpshufd ($b,$b,0b00111001); + &vpshufd ($d,$d,0b10010011); + + &AVX512ROUND(); + &vpshufd ($c,$c,0b01001110); + &vpshufd ($b,$b,0b10010011); + &vpshufd ($d,$d,0b00111001); + + &sub ($counter,1); + &jnz (".Loop_avx512vl"); + +$code.=<<___; + vpaddd $a_,$a,$a + vpaddd $b_,$b,$b + vpaddd $c_,$c,$c + vpaddd $d_,$d,$d + + sub \$64,$len + jb .Ltail64_avx512vl + + vpxor 0x00($inp),%x#$a,$t0 # xor with input + vpxor 0x10($inp),%x#$b,$t1 + vpxor 0x20($inp),%x#$c,$t2 + vpxor 0x30($inp),%x#$d,$t3 + lea 0x40($inp),$inp # inp+=64 + + vmovdqu $t0,0x00($out) # write output + vmovdqu $t1,0x10($out) + vmovdqu $t2,0x20($out) + vmovdqu $t3,0x30($out) + lea 0x40($out),$out # out+=64 + + jz .Ldone_avx512vl + + vextracti128 \$1,$a,$t0 + vextracti128 \$1,$b,$t1 + vextracti128 \$1,$c,$t2 + vextracti128 \$1,$d,$t3 + + sub \$64,$len + jb .Ltail_avx512vl + + vmovdqa32 $a_,$a + vpaddd $fourz,$d_,$d + + vpxor 0x00($inp),$t0,$t0 # xor with input + vpxor 0x10($inp),$t1,$t1 + vpxor 0x20($inp),$t2,$t2 + vpxor 0x30($inp),$t3,$t3 + lea 0x40($inp),$inp # inp+=64 + + vmovdqu $t0,0x00($out) # write output + vmovdqu $t1,0x10($out) + vmovdqu $t2,0x20($out) + vmovdqu $t3,0x30($out) + lea 0x40($out),$out # out+=64 + + jnz .Loop_outer_avx512vl + + jmp .Ldone_avx512vl + +.align 16 +.Ltail64_avx512vl: + vmovdqa %x#$a,0x00(%rsp) + vmovdqa %x#$b,0x10(%rsp) + vmovdqa %x#$c,0x20(%rsp) + vmovdqa %x#$d,0x30(%rsp) + add \$64,$len + jmp .Loop_tail_avx512vl + +.align 16 +.Ltail_avx512vl: + vmovdqa $t0,0x00(%rsp) + vmovdqa $t1,0x10(%rsp) + vmovdqa $t2,0x20(%rsp) + vmovdqa $t3,0x30(%rsp) + add \$64,$len + +.Loop_tail_avx512vl: + movzb ($inp,$counter),%eax + movzb (%rsp,$counter),%ecx + lea 1($counter),$counter + xor %ecx,%eax + mov %al,-1($out,$counter) + dec $len + jnz .Loop_tail_avx512vl + + vmovdqu32 $a_,0x00(%rsp) + vmovdqu32 $a_,0x20(%rsp) + +.Ldone_avx512vl: + vzeroall +___ +$code.=<<___ if ($win64); + movaps -0x28(%r10),%xmm6 + movaps -0x18(%r10),%xmm7 +___ +$code.=<<___; + lea (%r10),%rsp +.cfi_def_cfa_register %rsp +.Lavx512vl_epilogue: + ret +.cfi_endproc +.size ChaCha20_avx512vl,.-ChaCha20_avx512vl +___ +} +if ($avx>2) { +# This one handles longer inputs... + +my ($xa0,$xa1,$xa2,$xa3, $xb0,$xb1,$xb2,$xb3, + $xc0,$xc1,$xc2,$xc3, $xd0,$xd1,$xd2,$xd3)=map("%zmm$_",(0..15)); +my @xx=($xa0,$xa1,$xa2,$xa3, $xb0,$xb1,$xb2,$xb3, + $xc0,$xc1,$xc2,$xc3, $xd0,$xd1,$xd2,$xd3); +my @key=map("%zmm$_",(16..31)); +my ($xt0,$xt1,$xt2,$xt3)=@key[0..3]; + +sub AVX512_lane_ROUND { +my ($a0,$b0,$c0,$d0)=@_; +my ($a1,$b1,$c1,$d1)=map(($_&~3)+(($_+1)&3),($a0,$b0,$c0,$d0)); +my ($a2,$b2,$c2,$d2)=map(($_&~3)+(($_+1)&3),($a1,$b1,$c1,$d1)); +my ($a3,$b3,$c3,$d3)=map(($_&~3)+(($_+1)&3),($a2,$b2,$c2,$d2)); +my @x=map("\"$_\"",@xx); + + ( + "&vpaddd (@x[$a0],@x[$a0],@x[$b0])", # Q1 + "&vpaddd (@x[$a1],@x[$a1],@x[$b1])", # Q2 + "&vpaddd (@x[$a2],@x[$a2],@x[$b2])", # Q3 + "&vpaddd (@x[$a3],@x[$a3],@x[$b3])", # Q4 + "&vpxord (@x[$d0],@x[$d0],@x[$a0])", + "&vpxord (@x[$d1],@x[$d1],@x[$a1])", + "&vpxord (@x[$d2],@x[$d2],@x[$a2])", + "&vpxord (@x[$d3],@x[$d3],@x[$a3])", + "&vprold (@x[$d0],@x[$d0],16)", + "&vprold (@x[$d1],@x[$d1],16)", + "&vprold (@x[$d2],@x[$d2],16)", + "&vprold (@x[$d3],@x[$d3],16)", + + "&vpaddd (@x[$c0],@x[$c0],@x[$d0])", + "&vpaddd (@x[$c1],@x[$c1],@x[$d1])", + "&vpaddd (@x[$c2],@x[$c2],@x[$d2])", + "&vpaddd (@x[$c3],@x[$c3],@x[$d3])", + "&vpxord (@x[$b0],@x[$b0],@x[$c0])", + "&vpxord (@x[$b1],@x[$b1],@x[$c1])", + "&vpxord (@x[$b2],@x[$b2],@x[$c2])", + "&vpxord (@x[$b3],@x[$b3],@x[$c3])", + "&vprold (@x[$b0],@x[$b0],12)", + "&vprold (@x[$b1],@x[$b1],12)", + "&vprold (@x[$b2],@x[$b2],12)", + "&vprold (@x[$b3],@x[$b3],12)", + + "&vpaddd (@x[$a0],@x[$a0],@x[$b0])", + "&vpaddd (@x[$a1],@x[$a1],@x[$b1])", + "&vpaddd (@x[$a2],@x[$a2],@x[$b2])", + "&vpaddd (@x[$a3],@x[$a3],@x[$b3])", + "&vpxord (@x[$d0],@x[$d0],@x[$a0])", + "&vpxord (@x[$d1],@x[$d1],@x[$a1])", + "&vpxord (@x[$d2],@x[$d2],@x[$a2])", + "&vpxord (@x[$d3],@x[$d3],@x[$a3])", + "&vprold (@x[$d0],@x[$d0],8)", + "&vprold (@x[$d1],@x[$d1],8)", + "&vprold (@x[$d2],@x[$d2],8)", + "&vprold (@x[$d3],@x[$d3],8)", + + "&vpaddd (@x[$c0],@x[$c0],@x[$d0])", + "&vpaddd (@x[$c1],@x[$c1],@x[$d1])", + "&vpaddd (@x[$c2],@x[$c2],@x[$d2])", + "&vpaddd (@x[$c3],@x[$c3],@x[$d3])", + "&vpxord (@x[$b0],@x[$b0],@x[$c0])", + "&vpxord (@x[$b1],@x[$b1],@x[$c1])", + "&vpxord (@x[$b2],@x[$b2],@x[$c2])", + "&vpxord (@x[$b3],@x[$b3],@x[$c3])", + "&vprold (@x[$b0],@x[$b0],7)", + "&vprold (@x[$b1],@x[$b1],7)", + "&vprold (@x[$b2],@x[$b2],7)", + "&vprold (@x[$b3],@x[$b3],7)" + ); +} + +my $xframe = $win64 ? 0xa8 : 8; + +$code.=<<___; +.type ChaCha20_16x,\@function,5 +.align 32 +ChaCha20_16x: +.cfi_startproc +.LChaCha20_16x: + mov %rsp,%r10 # frame register +.cfi_def_cfa_register %r10 + sub \$64+$xframe,%rsp + and \$-64,%rsp +___ +$code.=<<___ if ($win64); + movaps %xmm6,-0xa8(%r10) + movaps %xmm7,-0x98(%r10) + movaps %xmm8,-0x88(%r10) + movaps %xmm9,-0x78(%r10) + movaps %xmm10,-0x68(%r10) + movaps %xmm11,-0x58(%r10) + movaps %xmm12,-0x48(%r10) + movaps %xmm13,-0x38(%r10) + movaps %xmm14,-0x28(%r10) + movaps %xmm15,-0x18(%r10) +.L16x_body: +___ +$code.=<<___; + vzeroupper + + lea .Lsigma(%rip),%r9 + vbroadcasti32x4 (%r9),$xa3 # key[0] + vbroadcasti32x4 ($key),$xb3 # key[1] + vbroadcasti32x4 16($key),$xc3 # key[2] + vbroadcasti32x4 ($counter),$xd3 # key[3] + + vpshufd \$0x00,$xa3,$xa0 # smash key by lanes... + vpshufd \$0x55,$xa3,$xa1 + vpshufd \$0xaa,$xa3,$xa2 + vpshufd \$0xff,$xa3,$xa3 + vmovdqa64 $xa0,@key[0] + vmovdqa64 $xa1,@key[1] + vmovdqa64 $xa2,@key[2] + vmovdqa64 $xa3,@key[3] + + vpshufd \$0x00,$xb3,$xb0 + vpshufd \$0x55,$xb3,$xb1 + vpshufd \$0xaa,$xb3,$xb2 + vpshufd \$0xff,$xb3,$xb3 + vmovdqa64 $xb0,@key[4] + vmovdqa64 $xb1,@key[5] + vmovdqa64 $xb2,@key[6] + vmovdqa64 $xb3,@key[7] + + vpshufd \$0x00,$xc3,$xc0 + vpshufd \$0x55,$xc3,$xc1 + vpshufd \$0xaa,$xc3,$xc2 + vpshufd \$0xff,$xc3,$xc3 + vmovdqa64 $xc0,@key[8] + vmovdqa64 $xc1,@key[9] + vmovdqa64 $xc2,@key[10] + vmovdqa64 $xc3,@key[11] + + vpshufd \$0x00,$xd3,$xd0 + vpshufd \$0x55,$xd3,$xd1 + vpshufd \$0xaa,$xd3,$xd2 + vpshufd \$0xff,$xd3,$xd3 + vpaddd .Lincz(%rip),$xd0,$xd0 # don't save counters yet + vmovdqa64 $xd0,@key[12] + vmovdqa64 $xd1,@key[13] + vmovdqa64 $xd2,@key[14] + vmovdqa64 $xd3,@key[15] + + mov \$10,%eax + jmp .Loop16x + +.align 32 +.Loop_outer16x: + vpbroadcastd 0(%r9),$xa0 # reload key + vpbroadcastd 4(%r9),$xa1 + vpbroadcastd 8(%r9),$xa2 + vpbroadcastd 12(%r9),$xa3 + vpaddd .Lsixteen(%rip),@key[12],@key[12] # next SIMD counters + vmovdqa64 @key[4],$xb0 + vmovdqa64 @key[5],$xb1 + vmovdqa64 @key[6],$xb2 + vmovdqa64 @key[7],$xb3 + vmovdqa64 @key[8],$xc0 + vmovdqa64 @key[9],$xc1 + vmovdqa64 @key[10],$xc2 + vmovdqa64 @key[11],$xc3 + vmovdqa64 @key[12],$xd0 + vmovdqa64 @key[13],$xd1 + vmovdqa64 @key[14],$xd2 + vmovdqa64 @key[15],$xd3 + + vmovdqa64 $xa0,@key[0] + vmovdqa64 $xa1,@key[1] + vmovdqa64 $xa2,@key[2] + vmovdqa64 $xa3,@key[3] + + mov \$10,%eax + jmp .Loop16x + +.align 32 +.Loop16x: +___ + foreach (&AVX512_lane_ROUND(0, 4, 8,12)) { eval; } + foreach (&AVX512_lane_ROUND(0, 5,10,15)) { eval; } +$code.=<<___; + dec %eax + jnz .Loop16x + + vpaddd @key[0],$xa0,$xa0 # accumulate key + vpaddd @key[1],$xa1,$xa1 + vpaddd @key[2],$xa2,$xa2 + vpaddd @key[3],$xa3,$xa3 + + vpunpckldq $xa1,$xa0,$xt2 # "de-interlace" data + vpunpckldq $xa3,$xa2,$xt3 + vpunpckhdq $xa1,$xa0,$xa0 + vpunpckhdq $xa3,$xa2,$xa2 + vpunpcklqdq $xt3,$xt2,$xa1 # "a0" + vpunpckhqdq $xt3,$xt2,$xt2 # "a1" + vpunpcklqdq $xa2,$xa0,$xa3 # "a2" + vpunpckhqdq $xa2,$xa0,$xa0 # "a3" +___ + ($xa0,$xa1,$xa2,$xa3,$xt2)=($xa1,$xt2,$xa3,$xa0,$xa2); +$code.=<<___; + vpaddd @key[4],$xb0,$xb0 + vpaddd @key[5],$xb1,$xb1 + vpaddd @key[6],$xb2,$xb2 + vpaddd @key[7],$xb3,$xb3 + + vpunpckldq $xb1,$xb0,$xt2 + vpunpckldq $xb3,$xb2,$xt3 + vpunpckhdq $xb1,$xb0,$xb0 + vpunpckhdq $xb3,$xb2,$xb2 + vpunpcklqdq $xt3,$xt2,$xb1 # "b0" + vpunpckhqdq $xt3,$xt2,$xt2 # "b1" + vpunpcklqdq $xb2,$xb0,$xb3 # "b2" + vpunpckhqdq $xb2,$xb0,$xb0 # "b3" +___ + ($xb0,$xb1,$xb2,$xb3,$xt2)=($xb1,$xt2,$xb3,$xb0,$xb2); +$code.=<<___; + vshufi32x4 \$0x44,$xb0,$xa0,$xt3 # "de-interlace" further + vshufi32x4 \$0xee,$xb0,$xa0,$xb0 + vshufi32x4 \$0x44,$xb1,$xa1,$xa0 + vshufi32x4 \$0xee,$xb1,$xa1,$xb1 + vshufi32x4 \$0x44,$xb2,$xa2,$xa1 + vshufi32x4 \$0xee,$xb2,$xa2,$xb2 + vshufi32x4 \$0x44,$xb3,$xa3,$xa2 + vshufi32x4 \$0xee,$xb3,$xa3,$xb3 +___ + ($xa0,$xa1,$xa2,$xa3,$xt3)=($xt3,$xa0,$xa1,$xa2,$xa3); +$code.=<<___; + vpaddd @key[8],$xc0,$xc0 + vpaddd @key[9],$xc1,$xc1 + vpaddd @key[10],$xc2,$xc2 + vpaddd @key[11],$xc3,$xc3 + + vpunpckldq $xc1,$xc0,$xt2 + vpunpckldq $xc3,$xc2,$xt3 + vpunpckhdq $xc1,$xc0,$xc0 + vpunpckhdq $xc3,$xc2,$xc2 + vpunpcklqdq $xt3,$xt2,$xc1 # "c0" + vpunpckhqdq $xt3,$xt2,$xt2 # "c1" + vpunpcklqdq $xc2,$xc0,$xc3 # "c2" + vpunpckhqdq $xc2,$xc0,$xc0 # "c3" +___ + ($xc0,$xc1,$xc2,$xc3,$xt2)=($xc1,$xt2,$xc3,$xc0,$xc2); +$code.=<<___; + vpaddd @key[12],$xd0,$xd0 + vpaddd @key[13],$xd1,$xd1 + vpaddd @key[14],$xd2,$xd2 + vpaddd @key[15],$xd3,$xd3 + + vpunpckldq $xd1,$xd0,$xt2 + vpunpckldq $xd3,$xd2,$xt3 + vpunpckhdq $xd1,$xd0,$xd0 + vpunpckhdq $xd3,$xd2,$xd2 + vpunpcklqdq $xt3,$xt2,$xd1 # "d0" + vpunpckhqdq $xt3,$xt2,$xt2 # "d1" + vpunpcklqdq $xd2,$xd0,$xd3 # "d2" + vpunpckhqdq $xd2,$xd0,$xd0 # "d3" +___ + ($xd0,$xd1,$xd2,$xd3,$xt2)=($xd1,$xt2,$xd3,$xd0,$xd2); +$code.=<<___; + vshufi32x4 \$0x44,$xd0,$xc0,$xt3 # "de-interlace" further + vshufi32x4 \$0xee,$xd0,$xc0,$xd0 + vshufi32x4 \$0x44,$xd1,$xc1,$xc0 + vshufi32x4 \$0xee,$xd1,$xc1,$xd1 + vshufi32x4 \$0x44,$xd2,$xc2,$xc1 + vshufi32x4 \$0xee,$xd2,$xc2,$xd2 + vshufi32x4 \$0x44,$xd3,$xc3,$xc2 + vshufi32x4 \$0xee,$xd3,$xc3,$xd3 +___ + ($xc0,$xc1,$xc2,$xc3,$xt3)=($xt3,$xc0,$xc1,$xc2,$xc3); +$code.=<<___; + vshufi32x4 \$0x88,$xc0,$xa0,$xt0 # "de-interlace" further + vshufi32x4 \$0xdd,$xc0,$xa0,$xa0 + vshufi32x4 \$0x88,$xd0,$xb0,$xc0 + vshufi32x4 \$0xdd,$xd0,$xb0,$xd0 + vshufi32x4 \$0x88,$xc1,$xa1,$xt1 + vshufi32x4 \$0xdd,$xc1,$xa1,$xa1 + vshufi32x4 \$0x88,$xd1,$xb1,$xc1 + vshufi32x4 \$0xdd,$xd1,$xb1,$xd1 + vshufi32x4 \$0x88,$xc2,$xa2,$xt2 + vshufi32x4 \$0xdd,$xc2,$xa2,$xa2 + vshufi32x4 \$0x88,$xd2,$xb2,$xc2 + vshufi32x4 \$0xdd,$xd2,$xb2,$xd2 + vshufi32x4 \$0x88,$xc3,$xa3,$xt3 + vshufi32x4 \$0xdd,$xc3,$xa3,$xa3 + vshufi32x4 \$0x88,$xd3,$xb3,$xc3 + vshufi32x4 \$0xdd,$xd3,$xb3,$xd3 +___ + ($xa0,$xa1,$xa2,$xa3,$xb0,$xb1,$xb2,$xb3)= + ($xt0,$xt1,$xt2,$xt3,$xa0,$xa1,$xa2,$xa3); + + ($xa0,$xb0,$xc0,$xd0, $xa1,$xb1,$xc1,$xd1, + $xa2,$xb2,$xc2,$xd2, $xa3,$xb3,$xc3,$xd3) = + ($xa0,$xa1,$xa2,$xa3, $xb0,$xb1,$xb2,$xb3, + $xc0,$xc1,$xc2,$xc3, $xd0,$xd1,$xd2,$xd3); +$code.=<<___; + cmp \$64*16,$len + jb .Ltail16x + + vpxord 0x00($inp),$xa0,$xa0 # xor with input + vpxord 0x40($inp),$xb0,$xb0 + vpxord 0x80($inp),$xc0,$xc0 + vpxord 0xc0($inp),$xd0,$xd0 + vmovdqu32 $xa0,0x00($out) + vmovdqu32 $xb0,0x40($out) + vmovdqu32 $xc0,0x80($out) + vmovdqu32 $xd0,0xc0($out) + + vpxord 0x100($inp),$xa1,$xa1 + vpxord 0x140($inp),$xb1,$xb1 + vpxord 0x180($inp),$xc1,$xc1 + vpxord 0x1c0($inp),$xd1,$xd1 + vmovdqu32 $xa1,0x100($out) + vmovdqu32 $xb1,0x140($out) + vmovdqu32 $xc1,0x180($out) + vmovdqu32 $xd1,0x1c0($out) + + vpxord 0x200($inp),$xa2,$xa2 + vpxord 0x240($inp),$xb2,$xb2 + vpxord 0x280($inp),$xc2,$xc2 + vpxord 0x2c0($inp),$xd2,$xd2 + vmovdqu32 $xa2,0x200($out) + vmovdqu32 $xb2,0x240($out) + vmovdqu32 $xc2,0x280($out) + vmovdqu32 $xd2,0x2c0($out) + + vpxord 0x300($inp),$xa3,$xa3 + vpxord 0x340($inp),$xb3,$xb3 + vpxord 0x380($inp),$xc3,$xc3 + vpxord 0x3c0($inp),$xd3,$xd3 + lea 0x400($inp),$inp + vmovdqu32 $xa3,0x300($out) + vmovdqu32 $xb3,0x340($out) + vmovdqu32 $xc3,0x380($out) + vmovdqu32 $xd3,0x3c0($out) + lea 0x400($out),$out + + sub \$64*16,$len + jnz .Loop_outer16x + + jmp .Ldone16x + +.align 32 +.Ltail16x: + xor %r9,%r9 + sub $inp,$out + cmp \$64*1,$len + jb .Less_than_64_16x + vpxord ($inp),$xa0,$xa0 # xor with input + vmovdqu32 $xa0,($out,$inp) + je .Ldone16x + vmovdqa32 $xb0,$xa0 + lea 64($inp),$inp + + cmp \$64*2,$len + jb .Less_than_64_16x + vpxord ($inp),$xb0,$xb0 + vmovdqu32 $xb0,($out,$inp) + je .Ldone16x + vmovdqa32 $xc0,$xa0 + lea 64($inp),$inp + + cmp \$64*3,$len + jb .Less_than_64_16x + vpxord ($inp),$xc0,$xc0 + vmovdqu32 $xc0,($out,$inp) + je .Ldone16x + vmovdqa32 $xd0,$xa0 + lea 64($inp),$inp + + cmp \$64*4,$len + jb .Less_than_64_16x + vpxord ($inp),$xd0,$xd0 + vmovdqu32 $xd0,($out,$inp) + je .Ldone16x + vmovdqa32 $xa1,$xa0 + lea 64($inp),$inp + + cmp \$64*5,$len + jb .Less_than_64_16x + vpxord ($inp),$xa1,$xa1 + vmovdqu32 $xa1,($out,$inp) + je .Ldone16x + vmovdqa32 $xb1,$xa0 + lea 64($inp),$inp + + cmp \$64*6,$len + jb .Less_than_64_16x + vpxord ($inp),$xb1,$xb1 + vmovdqu32 $xb1,($out,$inp) + je .Ldone16x + vmovdqa32 $xc1,$xa0 + lea 64($inp),$inp + + cmp \$64*7,$len + jb .Less_than_64_16x + vpxord ($inp),$xc1,$xc1 + vmovdqu32 $xc1,($out,$inp) + je .Ldone16x + vmovdqa32 $xd1,$xa0 + lea 64($inp),$inp + + cmp \$64*8,$len + jb .Less_than_64_16x + vpxord ($inp),$xd1,$xd1 + vmovdqu32 $xd1,($out,$inp) + je .Ldone16x + vmovdqa32 $xa2,$xa0 + lea 64($inp),$inp + + cmp \$64*9,$len + jb .Less_than_64_16x + vpxord ($inp),$xa2,$xa2 + vmovdqu32 $xa2,($out,$inp) + je .Ldone16x + vmovdqa32 $xb2,$xa0 + lea 64($inp),$inp + + cmp \$64*10,$len + jb .Less_than_64_16x + vpxord ($inp),$xb2,$xb2 + vmovdqu32 $xb2,($out,$inp) + je .Ldone16x + vmovdqa32 $xc2,$xa0 + lea 64($inp),$inp + + cmp \$64*11,$len + jb .Less_than_64_16x + vpxord ($inp),$xc2,$xc2 + vmovdqu32 $xc2,($out,$inp) + je .Ldone16x + vmovdqa32 $xd2,$xa0 + lea 64($inp),$inp + + cmp \$64*12,$len + jb .Less_than_64_16x + vpxord ($inp),$xd2,$xd2 + vmovdqu32 $xd2,($out,$inp) + je .Ldone16x + vmovdqa32 $xa3,$xa0 + lea 64($inp),$inp + + cmp \$64*13,$len + jb .Less_than_64_16x + vpxord ($inp),$xa3,$xa3 + vmovdqu32 $xa3,($out,$inp) + je .Ldone16x + vmovdqa32 $xb3,$xa0 + lea 64($inp),$inp + + cmp \$64*14,$len + jb .Less_than_64_16x + vpxord ($inp),$xb3,$xb3 + vmovdqu32 $xb3,($out,$inp) + je .Ldone16x + vmovdqa32 $xc3,$xa0 + lea 64($inp),$inp + + cmp \$64*15,$len + jb .Less_than_64_16x + vpxord ($inp),$xc3,$xc3 + vmovdqu32 $xc3,($out,$inp) + je .Ldone16x + vmovdqa32 $xd3,$xa0 + lea 64($inp),$inp + +.Less_than_64_16x: + vmovdqa32 $xa0,0x00(%rsp) + lea ($out,$inp),$out + and \$63,$len + +.Loop_tail16x: + movzb ($inp,%r9),%eax + movzb (%rsp,%r9),%ecx + lea 1(%r9),%r9 + xor %ecx,%eax + mov %al,-1($out,%r9) + dec $len + jnz .Loop_tail16x + + vpxord $xa0,$xa0,$xa0 + vmovdqa32 $xa0,0(%rsp) + +.Ldone16x: + vzeroall +___ +$code.=<<___ if ($win64); + movaps -0xa8(%r10),%xmm6 + movaps -0x98(%r10),%xmm7 + movaps -0x88(%r10),%xmm8 + movaps -0x78(%r10),%xmm9 + movaps -0x68(%r10),%xmm10 + movaps -0x58(%r10),%xmm11 + movaps -0x48(%r10),%xmm12 + movaps -0x38(%r10),%xmm13 + movaps -0x28(%r10),%xmm14 + movaps -0x18(%r10),%xmm15 +___ +$code.=<<___; + lea (%r10),%rsp +.cfi_def_cfa_register %rsp +.L16x_epilogue: + ret +.cfi_endproc +.size ChaCha20_16x,.-ChaCha20_16x +___ + +# switch to %ymm domain +($xa0,$xa1,$xa2,$xa3, $xb0,$xb1,$xb2,$xb3, + $xc0,$xc1,$xc2,$xc3, $xd0,$xd1,$xd2,$xd3)=map("%ymm$_",(0..15)); +@xx=($xa0,$xa1,$xa2,$xa3, $xb0,$xb1,$xb2,$xb3, + $xc0,$xc1,$xc2,$xc3, $xd0,$xd1,$xd2,$xd3); +@key=map("%ymm$_",(16..31)); +($xt0,$xt1,$xt2,$xt3)=@key[0..3]; + +$code.=<<___; +.type ChaCha20_8xvl,\@function,5 +.align 32 +ChaCha20_8xvl: +.cfi_startproc +.LChaCha20_8xvl: + mov %rsp,%r10 # frame register +.cfi_def_cfa_register %r10 + sub \$64+$xframe,%rsp + and \$-64,%rsp +___ +$code.=<<___ if ($win64); + movaps %xmm6,-0xa8(%r10) + movaps %xmm7,-0x98(%r10) + movaps %xmm8,-0x88(%r10) + movaps %xmm9,-0x78(%r10) + movaps %xmm10,-0x68(%r10) + movaps %xmm11,-0x58(%r10) + movaps %xmm12,-0x48(%r10) + movaps %xmm13,-0x38(%r10) + movaps %xmm14,-0x28(%r10) + movaps %xmm15,-0x18(%r10) +.L8xvl_body: +___ +$code.=<<___; + vzeroupper + + lea .Lsigma(%rip),%r9 + vbroadcasti128 (%r9),$xa3 # key[0] + vbroadcasti128 ($key),$xb3 # key[1] + vbroadcasti128 16($key),$xc3 # key[2] + vbroadcasti128 ($counter),$xd3 # key[3] + + vpshufd \$0x00,$xa3,$xa0 # smash key by lanes... + vpshufd \$0x55,$xa3,$xa1 + vpshufd \$0xaa,$xa3,$xa2 + vpshufd \$0xff,$xa3,$xa3 + vmovdqa64 $xa0,@key[0] + vmovdqa64 $xa1,@key[1] + vmovdqa64 $xa2,@key[2] + vmovdqa64 $xa3,@key[3] + + vpshufd \$0x00,$xb3,$xb0 + vpshufd \$0x55,$xb3,$xb1 + vpshufd \$0xaa,$xb3,$xb2 + vpshufd \$0xff,$xb3,$xb3 + vmovdqa64 $xb0,@key[4] + vmovdqa64 $xb1,@key[5] + vmovdqa64 $xb2,@key[6] + vmovdqa64 $xb3,@key[7] + + vpshufd \$0x00,$xc3,$xc0 + vpshufd \$0x55,$xc3,$xc1 + vpshufd \$0xaa,$xc3,$xc2 + vpshufd \$0xff,$xc3,$xc3 + vmovdqa64 $xc0,@key[8] + vmovdqa64 $xc1,@key[9] + vmovdqa64 $xc2,@key[10] + vmovdqa64 $xc3,@key[11] + + vpshufd \$0x00,$xd3,$xd0 + vpshufd \$0x55,$xd3,$xd1 + vpshufd \$0xaa,$xd3,$xd2 + vpshufd \$0xff,$xd3,$xd3 + vpaddd .Lincy(%rip),$xd0,$xd0 # don't save counters yet + vmovdqa64 $xd0,@key[12] + vmovdqa64 $xd1,@key[13] + vmovdqa64 $xd2,@key[14] + vmovdqa64 $xd3,@key[15] + + mov \$10,%eax + jmp .Loop8xvl + +.align 32 +.Loop_outer8xvl: + #vpbroadcastd 0(%r9),$xa0 # reload key + #vpbroadcastd 4(%r9),$xa1 + vpbroadcastd 8(%r9),$xa2 + vpbroadcastd 12(%r9),$xa3 + vpaddd .Leight(%rip),@key[12],@key[12] # next SIMD counters + vmovdqa64 @key[4],$xb0 + vmovdqa64 @key[5],$xb1 + vmovdqa64 @key[6],$xb2 + vmovdqa64 @key[7],$xb3 + vmovdqa64 @key[8],$xc0 + vmovdqa64 @key[9],$xc1 + vmovdqa64 @key[10],$xc2 + vmovdqa64 @key[11],$xc3 + vmovdqa64 @key[12],$xd0 + vmovdqa64 @key[13],$xd1 + vmovdqa64 @key[14],$xd2 + vmovdqa64 @key[15],$xd3 + + vmovdqa64 $xa0,@key[0] + vmovdqa64 $xa1,@key[1] + vmovdqa64 $xa2,@key[2] + vmovdqa64 $xa3,@key[3] + + mov \$10,%eax + jmp .Loop8xvl + +.align 32 +.Loop8xvl: +___ + foreach (&AVX512_lane_ROUND(0, 4, 8,12)) { eval; } + foreach (&AVX512_lane_ROUND(0, 5,10,15)) { eval; } +$code.=<<___; + dec %eax + jnz .Loop8xvl + + vpaddd @key[0],$xa0,$xa0 # accumulate key + vpaddd @key[1],$xa1,$xa1 + vpaddd @key[2],$xa2,$xa2 + vpaddd @key[3],$xa3,$xa3 + + vpunpckldq $xa1,$xa0,$xt2 # "de-interlace" data + vpunpckldq $xa3,$xa2,$xt3 + vpunpckhdq $xa1,$xa0,$xa0 + vpunpckhdq $xa3,$xa2,$xa2 + vpunpcklqdq $xt3,$xt2,$xa1 # "a0" + vpunpckhqdq $xt3,$xt2,$xt2 # "a1" + vpunpcklqdq $xa2,$xa0,$xa3 # "a2" + vpunpckhqdq $xa2,$xa0,$xa0 # "a3" +___ + ($xa0,$xa1,$xa2,$xa3,$xt2)=($xa1,$xt2,$xa3,$xa0,$xa2); +$code.=<<___; + vpaddd @key[4],$xb0,$xb0 + vpaddd @key[5],$xb1,$xb1 + vpaddd @key[6],$xb2,$xb2 + vpaddd @key[7],$xb3,$xb3 + + vpunpckldq $xb1,$xb0,$xt2 + vpunpckldq $xb3,$xb2,$xt3 + vpunpckhdq $xb1,$xb0,$xb0 + vpunpckhdq $xb3,$xb2,$xb2 + vpunpcklqdq $xt3,$xt2,$xb1 # "b0" + vpunpckhqdq $xt3,$xt2,$xt2 # "b1" + vpunpcklqdq $xb2,$xb0,$xb3 # "b2" + vpunpckhqdq $xb2,$xb0,$xb0 # "b3" +___ + ($xb0,$xb1,$xb2,$xb3,$xt2)=($xb1,$xt2,$xb3,$xb0,$xb2); +$code.=<<___; + vshufi32x4 \$0,$xb0,$xa0,$xt3 # "de-interlace" further + vshufi32x4 \$3,$xb0,$xa0,$xb0 + vshufi32x4 \$0,$xb1,$xa1,$xa0 + vshufi32x4 \$3,$xb1,$xa1,$xb1 + vshufi32x4 \$0,$xb2,$xa2,$xa1 + vshufi32x4 \$3,$xb2,$xa2,$xb2 + vshufi32x4 \$0,$xb3,$xa3,$xa2 + vshufi32x4 \$3,$xb3,$xa3,$xb3 +___ + ($xa0,$xa1,$xa2,$xa3,$xt3)=($xt3,$xa0,$xa1,$xa2,$xa3); +$code.=<<___; + vpaddd @key[8],$xc0,$xc0 + vpaddd @key[9],$xc1,$xc1 + vpaddd @key[10],$xc2,$xc2 + vpaddd @key[11],$xc3,$xc3 + + vpunpckldq $xc1,$xc0,$xt2 + vpunpckldq $xc3,$xc2,$xt3 + vpunpckhdq $xc1,$xc0,$xc0 + vpunpckhdq $xc3,$xc2,$xc2 + vpunpcklqdq $xt3,$xt2,$xc1 # "c0" + vpunpckhqdq $xt3,$xt2,$xt2 # "c1" + vpunpcklqdq $xc2,$xc0,$xc3 # "c2" + vpunpckhqdq $xc2,$xc0,$xc0 # "c3" +___ + ($xc0,$xc1,$xc2,$xc3,$xt2)=($xc1,$xt2,$xc3,$xc0,$xc2); +$code.=<<___; + vpaddd @key[12],$xd0,$xd0 + vpaddd @key[13],$xd1,$xd1 + vpaddd @key[14],$xd2,$xd2 + vpaddd @key[15],$xd3,$xd3 + + vpunpckldq $xd1,$xd0,$xt2 + vpunpckldq $xd3,$xd2,$xt3 + vpunpckhdq $xd1,$xd0,$xd0 + vpunpckhdq $xd3,$xd2,$xd2 + vpunpcklqdq $xt3,$xt2,$xd1 # "d0" + vpunpckhqdq $xt3,$xt2,$xt2 # "d1" + vpunpcklqdq $xd2,$xd0,$xd3 # "d2" + vpunpckhqdq $xd2,$xd0,$xd0 # "d3" +___ + ($xd0,$xd1,$xd2,$xd3,$xt2)=($xd1,$xt2,$xd3,$xd0,$xd2); +$code.=<<___; + vperm2i128 \$0x20,$xd0,$xc0,$xt3 # "de-interlace" further + vperm2i128 \$0x31,$xd0,$xc0,$xd0 + vperm2i128 \$0x20,$xd1,$xc1,$xc0 + vperm2i128 \$0x31,$xd1,$xc1,$xd1 + vperm2i128 \$0x20,$xd2,$xc2,$xc1 + vperm2i128 \$0x31,$xd2,$xc2,$xd2 + vperm2i128 \$0x20,$xd3,$xc3,$xc2 + vperm2i128 \$0x31,$xd3,$xc3,$xd3 +___ + ($xc0,$xc1,$xc2,$xc3,$xt3)=($xt3,$xc0,$xc1,$xc2,$xc3); + ($xb0,$xb1,$xb2,$xb3,$xc0,$xc1,$xc2,$xc3)= + ($xc0,$xc1,$xc2,$xc3,$xb0,$xb1,$xb2,$xb3); +$code.=<<___; + cmp \$64*8,$len + jb .Ltail8xvl + + mov \$0x80,%eax # size optimization + vpxord 0x00($inp),$xa0,$xa0 # xor with input + vpxor 0x20($inp),$xb0,$xb0 + vpxor 0x40($inp),$xc0,$xc0 + vpxor 0x60($inp),$xd0,$xd0 + lea ($inp,%rax),$inp # size optimization + vmovdqu32 $xa0,0x00($out) + vmovdqu $xb0,0x20($out) + vmovdqu $xc0,0x40($out) + vmovdqu $xd0,0x60($out) + lea ($out,%rax),$out # size optimization + + vpxor 0x00($inp),$xa1,$xa1 + vpxor 0x20($inp),$xb1,$xb1 + vpxor 0x40($inp),$xc1,$xc1 + vpxor 0x60($inp),$xd1,$xd1 + lea ($inp,%rax),$inp # size optimization + vmovdqu $xa1,0x00($out) + vmovdqu $xb1,0x20($out) + vmovdqu $xc1,0x40($out) + vmovdqu $xd1,0x60($out) + lea ($out,%rax),$out # size optimization + + vpxord 0x00($inp),$xa2,$xa2 + vpxor 0x20($inp),$xb2,$xb2 + vpxor 0x40($inp),$xc2,$xc2 + vpxor 0x60($inp),$xd2,$xd2 + lea ($inp,%rax),$inp # size optimization + vmovdqu32 $xa2,0x00($out) + vmovdqu $xb2,0x20($out) + vmovdqu $xc2,0x40($out) + vmovdqu $xd2,0x60($out) + lea ($out,%rax),$out # size optimization + + vpxor 0x00($inp),$xa3,$xa3 + vpxor 0x20($inp),$xb3,$xb3 + vpxor 0x40($inp),$xc3,$xc3 + vpxor 0x60($inp),$xd3,$xd3 + lea ($inp,%rax),$inp # size optimization + vmovdqu $xa3,0x00($out) + vmovdqu $xb3,0x20($out) + vmovdqu $xc3,0x40($out) + vmovdqu $xd3,0x60($out) + lea ($out,%rax),$out # size optimization + + vpbroadcastd 0(%r9),%ymm0 # reload key + vpbroadcastd 4(%r9),%ymm1 + + sub \$64*8,$len + jnz .Loop_outer8xvl + + jmp .Ldone8xvl + +.align 32 +.Ltail8xvl: + vmovdqa64 $xa0,%ymm8 # size optimization +___ +$xa0 = "%ymm8"; +$code.=<<___; + xor %r9,%r9 + sub $inp,$out + cmp \$64*1,$len + jb .Less_than_64_8xvl + vpxor 0x00($inp),$xa0,$xa0 # xor with input + vpxor 0x20($inp),$xb0,$xb0 + vmovdqu $xa0,0x00($out,$inp) + vmovdqu $xb0,0x20($out,$inp) + je .Ldone8xvl + vmovdqa $xc0,$xa0 + vmovdqa $xd0,$xb0 + lea 64($inp),$inp + + cmp \$64*2,$len + jb .Less_than_64_8xvl + vpxor 0x00($inp),$xc0,$xc0 + vpxor 0x20($inp),$xd0,$xd0 + vmovdqu $xc0,0x00($out,$inp) + vmovdqu $xd0,0x20($out,$inp) + je .Ldone8xvl + vmovdqa $xa1,$xa0 + vmovdqa $xb1,$xb0 + lea 64($inp),$inp + + cmp \$64*3,$len + jb .Less_than_64_8xvl + vpxor 0x00($inp),$xa1,$xa1 + vpxor 0x20($inp),$xb1,$xb1 + vmovdqu $xa1,0x00($out,$inp) + vmovdqu $xb1,0x20($out,$inp) + je .Ldone8xvl + vmovdqa $xc1,$xa0 + vmovdqa $xd1,$xb0 + lea 64($inp),$inp + + cmp \$64*4,$len + jb .Less_than_64_8xvl + vpxor 0x00($inp),$xc1,$xc1 + vpxor 0x20($inp),$xd1,$xd1 + vmovdqu $xc1,0x00($out,$inp) + vmovdqu $xd1,0x20($out,$inp) + je .Ldone8xvl + vmovdqa32 $xa2,$xa0 + vmovdqa $xb2,$xb0 + lea 64($inp),$inp + + cmp \$64*5,$len + jb .Less_than_64_8xvl + vpxord 0x00($inp),$xa2,$xa2 + vpxor 0x20($inp),$xb2,$xb2 + vmovdqu32 $xa2,0x00($out,$inp) + vmovdqu $xb2,0x20($out,$inp) + je .Ldone8xvl + vmovdqa $xc2,$xa0 + vmovdqa $xd2,$xb0 + lea 64($inp),$inp + + cmp \$64*6,$len + jb .Less_than_64_8xvl + vpxor 0x00($inp),$xc2,$xc2 + vpxor 0x20($inp),$xd2,$xd2 + vmovdqu $xc2,0x00($out,$inp) + vmovdqu $xd2,0x20($out,$inp) + je .Ldone8xvl + vmovdqa $xa3,$xa0 + vmovdqa $xb3,$xb0 + lea 64($inp),$inp + + cmp \$64*7,$len + jb .Less_than_64_8xvl + vpxor 0x00($inp),$xa3,$xa3 + vpxor 0x20($inp),$xb3,$xb3 + vmovdqu $xa3,0x00($out,$inp) + vmovdqu $xb3,0x20($out,$inp) + je .Ldone8xvl + vmovdqa $xc3,$xa0 + vmovdqa $xd3,$xb0 + lea 64($inp),$inp + +.Less_than_64_8xvl: + vmovdqa $xa0,0x00(%rsp) + vmovdqa $xb0,0x20(%rsp) + lea ($out,$inp),$out + and \$63,$len + +.Loop_tail8xvl: + movzb ($inp,%r9),%eax + movzb (%rsp,%r9),%ecx + lea 1(%r9),%r9 + xor %ecx,%eax + mov %al,-1($out,%r9) + dec $len + jnz .Loop_tail8xvl + + vpxor $xa0,$xa0,$xa0 + vmovdqa $xa0,0x00(%rsp) + vmovdqa $xa0,0x20(%rsp) + +.Ldone8xvl: + vzeroall +___ +$code.=<<___ if ($win64); + movaps -0xa8(%r10),%xmm6 + movaps -0x98(%r10),%xmm7 + movaps -0x88(%r10),%xmm8 + movaps -0x78(%r10),%xmm9 + movaps -0x68(%r10),%xmm10 + movaps -0x58(%r10),%xmm11 + movaps -0x48(%r10),%xmm12 + movaps -0x38(%r10),%xmm13 + movaps -0x28(%r10),%xmm14 + movaps -0x18(%r10),%xmm15 +___ +$code.=<<___; + lea (%r10),%rsp +.cfi_def_cfa_register %rsp +.L8xvl_epilogue: + ret +.cfi_endproc +.size ChaCha20_8xvl,.-ChaCha20_8xvl +___ +} + +# EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame, +# CONTEXT *context,DISPATCHER_CONTEXT *disp) +if ($win64) { +$rec="%rcx"; +$frame="%rdx"; +$context="%r8"; +$disp="%r9"; + +$code.=<<___; +.extern __imp_RtlVirtualUnwind +.type se_handler,\@abi-omnipotent +.align 16 +se_handler: + push %rsi + push %rdi + push %rbx + push %rbp + push %r12 + push %r13 + push %r14 + push %r15 + pushfq + sub \$64,%rsp + + mov 120($context),%rax # pull context->Rax + mov 248($context),%rbx # pull context->Rip + + mov 8($disp),%rsi # disp->ImageBase + mov 56($disp),%r11 # disp->HandlerData + + lea .Lctr32_body(%rip),%r10 + cmp %r10,%rbx # context->Rip<.Lprologue + jb .Lcommon_seh_tail + + mov 152($context),%rax # pull context->Rsp + + lea .Lno_data(%rip),%r10 # epilogue label + cmp %r10,%rbx # context->Rip>=.Lepilogue + jae .Lcommon_seh_tail + + lea 64+24+48(%rax),%rax + + mov -8(%rax),%rbx + mov -16(%rax),%rbp + mov -24(%rax),%r12 + mov -32(%rax),%r13 + mov -40(%rax),%r14 + mov -48(%rax),%r15 + mov %rbx,144($context) # restore context->Rbx + mov %rbp,160($context) # restore context->Rbp + mov %r12,216($context) # restore context->R12 + mov %r13,224($context) # restore context->R13 + mov %r14,232($context) # restore context->R14 + mov %r15,240($context) # restore context->R14 + +.Lcommon_seh_tail: + mov 8(%rax),%rdi + mov 16(%rax),%rsi + mov %rax,152($context) # restore context->Rsp + mov %rsi,168($context) # restore context->Rsi + mov %rdi,176($context) # restore context->Rdi + + mov 40($disp),%rdi # disp->ContextRecord + mov $context,%rsi # context + mov \$154,%ecx # sizeof(CONTEXT) + .long 0xa548f3fc # cld; rep movsq + + mov $disp,%rsi + xor %rcx,%rcx # arg1, UNW_FLAG_NHANDLER + mov 8(%rsi),%rdx # arg2, disp->ImageBase + mov 0(%rsi),%r8 # arg3, disp->ControlPc + mov 16(%rsi),%r9 # arg4, disp->FunctionEntry + mov 40(%rsi),%r10 # disp->ContextRecord + lea 56(%rsi),%r11 # &disp->HandlerData + lea 24(%rsi),%r12 # &disp->EstablisherFrame + mov %r10,32(%rsp) # arg5 + mov %r11,40(%rsp) # arg6 + mov %r12,48(%rsp) # arg7 + mov %rcx,56(%rsp) # arg8, (NULL) + call *__imp_RtlVirtualUnwind(%rip) + + mov \$1,%eax # ExceptionContinueSearch + add \$64,%rsp + popfq + pop %r15 + pop %r14 + pop %r13 + pop %r12 + pop %rbp + pop %rbx + pop %rdi + pop %rsi + ret +.size se_handler,.-se_handler + +.type simd_handler,\@abi-omnipotent +.align 16 +simd_handler: + push %rsi + push %rdi + push %rbx + push %rbp + push %r12 + push %r13 + push %r14 + push %r15 + pushfq + sub \$64,%rsp + + mov 120($context),%rax # pull context->Rax + mov 248($context),%rbx # pull context->Rip + + mov 8($disp),%rsi # disp->ImageBase + mov 56($disp),%r11 # disp->HandlerData + + mov 0(%r11),%r10d # HandlerData[0] + lea (%rsi,%r10),%r10 # prologue label + cmp %r10,%rbx # context->RipR10 + + mov 4(%r11),%r10d # HandlerData[1] + mov 8(%r11),%ecx # HandlerData[2] + lea (%rsi,%r10),%r10 # epilogue label + cmp %r10,%rbx # context->Rip>=epilogue label + jae .Lcommon_seh_tail + + neg %rcx + lea -8(%rax,%rcx),%rsi + lea 512($context),%rdi # &context.Xmm6 + neg %ecx + shr \$3,%ecx + .long 0xa548f3fc # cld; rep movsq + + jmp .Lcommon_seh_tail +.size simd_handler,.-simd_handler + +.section .pdata +.align 4 + .rva .LSEH_begin_ChaCha20_ctr32 + .rva .LSEH_end_ChaCha20_ctr32 + .rva .LSEH_info_ChaCha20_ctr32 + + .rva .LSEH_begin_ChaCha20_ssse3 + .rva .LSEH_end_ChaCha20_ssse3 + .rva .LSEH_info_ChaCha20_ssse3 + + .rva .LSEH_begin_ChaCha20_128 + .rva .LSEH_end_ChaCha20_128 + .rva .LSEH_info_ChaCha20_128 + + .rva .LSEH_begin_ChaCha20_4x + .rva .LSEH_end_ChaCha20_4x + .rva .LSEH_info_ChaCha20_4x +___ +$code.=<<___ if ($avx); + .rva .LSEH_begin_ChaCha20_4xop + .rva .LSEH_end_ChaCha20_4xop + .rva .LSEH_info_ChaCha20_4xop +___ +$code.=<<___ if ($avx>1); + .rva .LSEH_begin_ChaCha20_avx2 + .rva .LSEH_end_ChaCha20_avx2 + .rva .LSEH_info_ChaCha20_avx2 +___ +$code.=<<___ if ($avx>2); + .rva .LSEH_begin_ChaCha20_avx512 + .rva .LSEH_end_ChaCha20_avx512 + .rva .LSEH_info_ChaCha20_avx512 + + .rva .LSEH_begin_ChaCha20_avx512vl + .rva .LSEH_end_ChaCha20_avx512vl + .rva .LSEH_info_ChaCha20_avx512vl + + .rva .LSEH_begin_ChaCha20_16x + .rva .LSEH_end_ChaCha20_16x + .rva .LSEH_info_ChaCha20_16x + + .rva .LSEH_begin_ChaCha20_8xvl + .rva .LSEH_end_ChaCha20_8xvl + .rva .LSEH_info_ChaCha20_8xvl +___ +$code.=<<___; +.section .xdata +.align 8 +.LSEH_info_ChaCha20_ctr32: + .byte 9,0,0,0 + .rva se_handler + +.LSEH_info_ChaCha20_ssse3: + .byte 9,0,0,0 + .rva simd_handler + .rva .Lssse3_body,.Lssse3_epilogue + .long 0x20,0 + +.LSEH_info_ChaCha20_128: + .byte 9,0,0,0 + .rva simd_handler + .rva .L128_body,.L128_epilogue + .long 0x60,0 + +.LSEH_info_ChaCha20_4x: + .byte 9,0,0,0 + .rva simd_handler + .rva .L4x_body,.L4x_epilogue + .long 0xa0,0 +___ +$code.=<<___ if ($avx); +.LSEH_info_ChaCha20_4xop: + .byte 9,0,0,0 + .rva simd_handler + .rva .L4xop_body,.L4xop_epilogue # HandlerData[] + .long 0xa0,0 +___ +$code.=<<___ if ($avx>1); +.LSEH_info_ChaCha20_avx2: + .byte 9,0,0,0 + .rva simd_handler + .rva .Lavx2_body,.Lavx2_epilogue # HandlerData[] + .long 0xa0,0 +___ +$code.=<<___ if ($avx>2); +.LSEH_info_ChaCha20_avx512: + .byte 9,0,0,0 + .rva simd_handler + .rva .Lavx512_body,.Lavx512_epilogue # HandlerData[] + .long 0x20,0 + +.LSEH_info_ChaCha20_avx512vl: + .byte 9,0,0,0 + .rva simd_handler + .rva .Lavx512vl_body,.Lavx512vl_epilogue # HandlerData[] + .long 0x20,0 + +.LSEH_info_ChaCha20_16x: + .byte 9,0,0,0 + .rva simd_handler + .rva .L16x_body,.L16x_epilogue # HandlerData[] + .long 0xa0,0 + +.LSEH_info_ChaCha20_8xvl: + .byte 9,0,0,0 + .rva simd_handler + .rva .L8xvl_body,.L8xvl_epilogue # HandlerData[] + .long 0xa0,0 +___ +} + +foreach (split("\n",$code)) { + s/\`([^\`]*)\`/eval $1/ge; + + s/%x#%[yz]/%x/g; # "down-shift" + + print $_,"\n"; +} + +close STDOUT; diff --git a/cbits/asm/generate.sh b/cbits/asm/generate.sh new file mode 100644 --- /dev/null +++ b/cbits/asm/generate.sh @@ -0,0 +1,153 @@ +#!/bin/sh +# +# Regenerate the assembly checked in beside this script. +# +# The .pl files come from the CRYPTOGAMS distribution, unmodified: +# +# https://github.com/dot-asm/cryptogams +# x86_64/aesni-gcm-x86_64.pl x86_64/chacha-x86_64.pl +# x86_64/poly1305-x86_64.pl x86_64/sha512-x86_64.pl +# x86_64/keccak1600-x86_64.pl x86_64/x86_64-xlate.pl +# arm/chacha-armv8.pl arm/poly1305-armv8.pl +# arm/sha1-armv8.pl arm/sha512-armv8.pl +# arm/keccak1600-armv8.pl arm/arm-xlate.pl +# arm/arm_arch.h +# +# The .pl files are the generator, not the product: each one emits +# assembly for a given "flavour", which is the calling convention and the +# object format together. The output is checked in so that building +# crypton needs no perl. +# +# Two things are done to the output here. The entry points are renamed: +# a program that links both crypton and OpenSSL would otherwise have two +# definitions of, say, aesni_gcm_encrypt, and the linker is entitled to +# refuse that. The same goes for OPENSSL_armcap_P, which the ChaCha +# module reads to find out whether the processor has NEON, and which +# crypton defines for itself in cbits/crypton_chacha.c. And the ELF +# output of the x86-64 module is given the note that says the code does +# not want an executable stack, which the generator leaves to the caller. +# +# Run this on a GNU/Linux host. The mingw64 flavour asks the compiler +# what __USER_LABEL_PREFIX__ is for its target, and a compiler for a +# platform that decorates symbols -- Apple's, for one -- answers for +# itself rather than for Windows, which would leave every entry point in +# that file with a leading underscore that nothing looks for. +# +# Usage: cd cbits/asm && ./generate.sh + +set -e + +# The x86-64 generators choose what to emit from the version of the +# assembler they are told about, so they are told one, rather than left to +# ask whatever compiler happens to be here: the checked-in files should not +# depend on the host that produced them. 2.24 predates AVX-512, which is +# the point -- the Poly1305 module has paths for it, and this does not take +# them, no machine here being able to run them, and a path nothing has +# executed not being worth the few per cent it might be worth. It leaves +# both modules with everything through AVX2. +cat > tmp-cc <<'SHIM' +#!/bin/sh +case "$*" in +*-Wa,-v*) echo "GNU assembler version 2.24" ;; +esac +exit 0 +SHIM +chmod +x tmp-cc +CC=./tmp-cc +export CC + +for flavour in elf macosx mingw64; do + perl aesni-gcm-x86_64.pl $flavour tmp-$flavour.S + sed -e 's/aesni_gcm_/crypton_gcm_asm_/g' \ + -e 's/aesni_ctr32_/crypton_gcm_asm_ctr32_/g' \ + tmp-$flavour.S > aesni-gcm-x86_64-$flavour.S + + perl poly1305-x86_64.pl $flavour tmp-$flavour.S + sed -e 's/poly1305_/crypton_poly1305_asm_/g' \ + -e 's/xor128_/crypton_xor128_/g' \ + -e 's/OPENSSL_ia32cap_P/crypton_ia32cap_P/g' \ + tmp-$flavour.S > poly1305-x86_64-$flavour.S + + perl chacha-x86_64.pl $flavour tmp-$flavour.S + sed -e 's/ChaCha20_/crypton_chacha20_asm_/g' \ + -e 's/OPENSSL_ia32cap_P/crypton_ia32cap_P/g' \ + tmp-$flavour.S > chacha-x86_64-$flavour.S + + # as on AArch64, this generator emits SHA-512 or SHA-256 according + # to the name it is given, and both are wanted here + perl sha512-x86_64.pl $flavour tmp-$flavour.S + sed -e 's/sha256_block_/crypton_sha256_asm_block_/g' \ + -e 's/OPENSSL_ia32cap_P/crypton_ia32cap_P/g' \ + tmp-$flavour.S > sha256-x86_64-$flavour.S + + perl keccak1600-x86_64.pl $flavour tmp-k-$flavour.S + sed -e 's/SHA3_absorb/crypton_keccak_asm_absorb/g' \ + -e 's/SHA3_squeeze/crypton_keccak_asm_squeeze/g' \ + -e 's/KeccakF1600/crypton_keccak_asm_f1600/g' \ + tmp-k-$flavour.S > keccak1600-x86_64-$flavour.S + + perl sha512-x86_64.pl $flavour tmp-512-$flavour.S + sed -e 's/sha512_block_/crypton_sha512_asm_block_/g' \ + -e 's/OPENSSL_ia32cap_P/crypton_ia32cap_P/g' \ + tmp-512-$flavour.S > sha512-x86_64-$flavour.S + rm -f tmp-$flavour.S tmp-512-$flavour.S tmp-k-$flavour.S +done + +for f in aesni-gcm-x86_64-elf.S poly1305-x86_64-elf.S chacha-x86_64-elf.S \ + sha256-x86_64-elf.S sha512-x86_64-elf.S keccak1600-x86_64-elf.S; do + cat >> $f <<-NOTE + + .section .note.GNU-stack,"",@progbits + NOTE +done + +unset CC +rm -f tmp-cc + +for flavour in linux64 ios64; do + perl chacha-armv8.pl $flavour tmp-$flavour.S + sed -e 's/ChaCha20_/crypton_chacha20_asm_/g' \ + -e 's/OPENSSL_armcap_P/crypton_armcap_P/g' \ + tmp-$flavour.S > chacha-armv8-$flavour.S + + perl poly1305-armv8.pl $flavour tmp-$flavour.S + sed -e 's/poly1305_/crypton_poly1305_asm_/g' \ + -e 's/OPENSSL_armcap_P/crypton_armcap_P/g' \ + tmp-$flavour.S > poly1305-armv8-$flavour.S + + # the same generator emits SHA-512 or SHA-256 according to the name + # it is given, and only the SHA-256 one is wanted here + perl sha512-armv8.pl $flavour tmp-$flavour.S + sed -e 's/sha256_block_/crypton_sha256_asm_block_/g' \ + -e 's/OPENSSL_armcap_P/crypton_armcap_P/g' \ + tmp-$flavour.S > sha256-armv8-$flavour.S + + perl sha1-armv8.pl $flavour tmp-$flavour.S + sed -e 's/sha1_block_/crypton_sha1_asm_block_/g' \ + -e 's/OPENSSL_armcap_P/crypton_armcap_P/g' \ + tmp-$flavour.S > sha1-armv8-$flavour.S + + perl keccak1600-armv8.pl $flavour tmp-$flavour.S + sed -e 's/SHA3_absorb/crypton_keccak_asm_absorb/g' \ + -e 's/SHA3_squeeze/crypton_keccak_asm_squeeze/g' \ + tmp-$flavour.S > keccak1600-armv8-$flavour.S + rm -f tmp-$flavour.S +done + +cat >> chacha-armv8-linux64.S <<'NOTE' + +.section .note.GNU-stack,"",%progbits +NOTE + +cat >> poly1305-armv8-linux64.S <<'NOTE' + +.section .note.GNU-stack,"",%progbits +NOTE + +for f in sha1-armv8-linux64.S sha256-armv8-linux64.S \ + keccak1600-armv8-linux64.S; do + cat >> $f <<-NOTE + + .section .note.GNU-stack,"",%progbits + NOTE +done diff --git a/cbits/asm/keccak1600-armv8-ios64.S b/cbits/asm/keccak1600-armv8-ios64.S new file mode 100644 --- /dev/null +++ b/cbits/asm/keccak1600-armv8-ios64.S @@ -0,0 +1,841 @@ +.text + +.align 8 // strategic alignment and padding that allows to use + // address value as loop termination condition... +.quad 0,0,0,0,0,0,0,0 + +iotas: +.quad 0x0000000000000001 +.quad 0x0000000000008082 +.quad 0x800000000000808a +.quad 0x8000000080008000 +.quad 0x000000000000808b +.quad 0x0000000080000001 +.quad 0x8000000080008081 +.quad 0x8000000000008009 +.quad 0x000000000000008a +.quad 0x0000000000000088 +.quad 0x0000000080008009 +.quad 0x000000008000000a +Liotas12: +.quad 0x000000008000808b +.quad 0x800000000000008b +.quad 0x8000000000008089 +.quad 0x8000000000008003 +.quad 0x8000000000008002 +.quad 0x8000000000000080 +.quad 0x000000000000800a +.quad 0x800000008000000a +.quad 0x8000000080008081 +.quad 0x8000000000008080 +.quad 0x0000000080000001 +.quad 0x8000000080008008 + + +.align 5 +KeccakF1600_int: +.long 0xd503233f // paciasp + stp x28,x30,[sp,#16] // stack is pre-allocated + b Loop +.align 4 +Loop: + ////////////////////////////////////////// Theta + eor x26,x0,x5 + stp x4,x9,[sp,#0] // offload pair... + eor x27,x1,x6 + eor x28,x2,x7 + eor x30,x3,x8 + eor x4,x4,x9 + eor x26,x26,x10 + eor x27,x27,x11 + eor x28,x28,x12 + eor x30,x30,x13 + eor x4,x4,x14 + eor x26,x26,x15 + eor x27,x27,x16 + eor x28,x28,x17 + eor x30,x30,x25 + eor x4,x4,x19 + eor x26,x26,x20 + eor x28,x28,x22 + eor x27,x27,x21 + eor x30,x30,x23 + eor x4,x4,x24 + + eor x9,x26,x28,ror#63 + + eor x1,x1,x9 + eor x6,x6,x9 + eor x11,x11,x9 + eor x16,x16,x9 + eor x21,x21,x9 + + eor x9,x27,x30,ror#63 + eor x28,x28,x4,ror#63 + eor x30,x30,x26,ror#63 + eor x4,x4,x27,ror#63 + + eor x27, x2,x9 // mov x27,x2 + eor x7,x7,x9 + eor x12,x12,x9 + eor x17,x17,x9 + eor x22,x22,x9 + + eor x0,x0,x4 + eor x5,x5,x4 + eor x10,x10,x4 + eor x15,x15,x4 + eor x20,x20,x4 + ldp x4,x9,[sp,#0] // re-load offloaded data + eor x26, x3,x28 // mov x26,x3 + eor x8,x8,x28 + eor x13,x13,x28 + eor x25,x25,x28 + eor x23,x23,x28 + + eor x28, x4,x30 // mov x28,x4 + eor x9,x9,x30 + eor x14,x14,x30 + eor x19,x19,x30 + eor x24,x24,x30 + + ////////////////////////////////////////// Rho+Pi + mov x30,x1 + ror x1,x6,#64-44 + //mov x27,x2 + ror x2,x12,#64-43 + //mov x26,x3 + ror x3,x25,#64-21 // ? + //mov x28,x4 + ror x4,x24,#64-14 // ? + + ror x6,x9,#64-20 // ? + ror x12,x13,#64-25 // ? + ror x25,x17,#64-15 + ror x24,x21,#64-2 // ? + + ror x9,x22,#64-61 + ror x13,x19,#64-8 + ror x17,x11,#64-10 + ror x21,x8,#64-55 + + ror x22,x14,#64-39 + ror x19,x23,#64-56 + ror x11,x7,#64-6 // ? + ror x8,x16,#64-45 + + ror x14,x20,#64-18 + ror x23,x15,#64-41 + ror x7,x10,#64-3 + ror x16,x5,#64-36 // ? + + ror x5,x26,#64-28 // ? + ror x10,x30,#64-1 + ror x15,x28,#64-27 // ? + ror x20,x27,#64-62 // ? + + ////////////////////////////////////////// Chi+Iota + bic x26,x2,x1 + bic x27,x3,x2 + bic x28,x0,x4 + bic x30,x1,x0 + eor x0,x0,x26 + bic x26,x4,x3 + eor x1,x1,x27 + ldr x27,[sp,#16] + eor x3,x3,x28 + eor x4,x4,x30 + eor x2,x2,x26 + ldr x30,[x27],#8 // Iota[i++] + + bic x26,x7,x6 + tst x27,#255 // are we done? + str x27,[sp,#16] + bic x27,x8,x7 + bic x28,x5,x9 + eor x0,x0,x30 // A[0][0] ^= Iota + bic x30,x6,x5 + eor x5,x5,x26 + bic x26,x9,x8 + eor x6,x6,x27 + eor x8,x8,x28 + eor x9,x9,x30 + eor x7,x7,x26 + + bic x26,x12,x11 + bic x27,x13,x12 + bic x28,x10,x14 + bic x30,x11,x10 + eor x10,x10,x26 + bic x26,x14,x13 + eor x11,x11,x27 + eor x13,x13,x28 + eor x14,x14,x30 + eor x12,x12,x26 + + bic x26,x17,x16 + bic x27,x25,x17 + bic x28,x15,x19 + bic x30,x16,x15 + eor x15,x15,x26 + bic x26,x19,x25 + eor x16,x16,x27 + eor x25,x25,x28 + eor x19,x19,x30 + eor x17,x17,x26 + + bic x26,x22,x21 + bic x27,x23,x22 + bic x28,x20,x24 + bic x30,x21,x20 + eor x20,x20,x26 + bic x26,x24,x23 + eor x21,x21,x27 + eor x23,x23,x28 + eor x24,x24,x30 + eor x22,x22,x26 + + bne Loop + + ldr x30,[sp,#16+__SIZEOF_POINTER__] +.long 0xd50323bf // autiasp + ret + + + +.align 5 +KeccakF1600: +.long 0xd503233f // paciasp + stp x29,x30,[sp,#-16*__SIZEOF_POINTER__]! + add x29,sp,#0 + stp x19,x20,[sp,#2*__SIZEOF_POINTER__] + stp x21,x22,[sp,#4*__SIZEOF_POINTER__] + stp x23,x24,[sp,#6*__SIZEOF_POINTER__] + stp x25,x26,[sp,#8*__SIZEOF_POINTER__] + stp x27,x28,[sp,#10*__SIZEOF_POINTER__] + sub sp,sp,#16+4*__SIZEOF_POINTER__ + + str x0,[sp,#16+2*__SIZEOF_POINTER__] // offload argument + mov x26,x0 + ldp x0,x1,[x0,#16*0] + ldp x2,x3,[x26,#16*1] + ldp x4,x5,[x26,#16*2] + ldp x6,x7,[x26,#16*3] + ldp x8,x9,[x26,#16*4] + ldp x10,x11,[x26,#16*5] + ldp x12,x13,[x26,#16*6] + ldp x14,x15,[x26,#16*7] + ldp x16,x17,[x26,#16*8] + ldp x25,x19,[x26,#16*9] + ldp x20,x21,[x26,#16*10] + ldp x22,x23,[x26,#16*11] + ldr x24,[x26,#16*12] + + adr x28,iotas + bl KeccakF1600_int + + ldr x26,[sp,#16+2*__SIZEOF_POINTER__] + stp x0,x1,[x26,#16*0] + stp x2,x3,[x26,#16*1] + stp x4,x5,[x26,#16*2] + stp x6,x7,[x26,#16*3] + stp x8,x9,[x26,#16*4] + stp x10,x11,[x26,#16*5] + stp x12,x13,[x26,#16*6] + stp x14,x15,[x26,#16*7] + stp x16,x17,[x26,#16*8] + stp x25,x19,[x26,#16*9] + stp x20,x21,[x26,#16*10] + stp x22,x23,[x26,#16*11] + str x24,[x26,#16*12] + + ldp x19,x20,[x29,#2*__SIZEOF_POINTER__] + add sp,sp,#16+4*__SIZEOF_POINTER__ + ldp x21,x22,[x29,#4*__SIZEOF_POINTER__] + ldp x23,x24,[x29,#6*__SIZEOF_POINTER__] + ldp x25,x26,[x29,#8*__SIZEOF_POINTER__] + ldp x27,x28,[x29,#10*__SIZEOF_POINTER__] + ldp x29,x30,[sp],#16*__SIZEOF_POINTER__ +.long 0xd50323bf // autiasp + ret + + +.globl _crypton_keccak_asm_absorb + +.align 5 +_crypton_keccak_asm_absorb: +.long 0xd503233f // paciasp + stp x29,x30,[sp,#-16*__SIZEOF_POINTER__]! + add x29,sp,#0 + stp x19,x20,[sp,#2*__SIZEOF_POINTER__] + stp x21,x22,[sp,#4*__SIZEOF_POINTER__] + stp x23,x24,[sp,#6*__SIZEOF_POINTER__] + stp x25,x26,[sp,#8*__SIZEOF_POINTER__] + stp x27,x28,[sp,#10*__SIZEOF_POINTER__] + sub sp,sp,#16+4*__SIZEOF_POINTER__+16 + + stp x0,x1,[sp,#16+2*__SIZEOF_POINTER__] // offload arguments + stp x2,x3,[sp,#16+4*__SIZEOF_POINTER__] + + mov x26,x0 // uint64_t A[5][5] + mov x27,x1 // const void *inp + mov x28,x2 // size_t len + mov x30,x3 // size_t bsz + ldp x0,x1,[x26,#16*0] + ldp x2,x3,[x26,#16*1] + ldp x4,x5,[x26,#16*2] + ldp x6,x7,[x26,#16*3] + ldp x8,x9,[x26,#16*4] + ldp x10,x11,[x26,#16*5] + ldp x12,x13,[x26,#16*6] + ldp x14,x15,[x26,#16*7] + ldp x16,x17,[x26,#16*8] + ldp x25,x19,[x26,#16*9] + ldp x20,x21,[x26,#16*10] + ldp x22,x23,[x26,#16*11] + ldr x24,[x26,#16*12] + b Loop_absorb + +.align 4 +Loop_absorb: + subs x26,x28,x30 // len - bsz + blo Labsorbed + + str x26,[sp,#16+4*__SIZEOF_POINTER__] // save len - bsz + cmp x30,#104 + ldr x26,[x27,#0] // A[0][0] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x0,x0,x26 + ldr x26,[x27,#8] // A[0][1] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x1,x1,x26 + ldr x26,[x27,#16] // A[0][2] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x2,x2,x26 + ldr x26,[x27,#24] // A[0][3] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x3,x3,x26 + ldr x26,[x27,#32] // A[0][4] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x4,x4,x26 + ldr x26,[x27,#40] // A[1][0] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x5,x5,x26 + ldr x26,[x27,#48] // A[1][1] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x6,x6,x26 + ldr x26,[x27,#56] // A[1][2] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x7,x7,x26 + ldr x26,[x27,#64] // A[1][3] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x8,x8,x26 + blo Lprocess_block + + ldr x26,[x27,#72] // A[1][4] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x9,x9,x26 + ldr x26,[x27,#80] // A[2][0] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x10,x10,x26 + ldr x26,[x27,#88] // A[2][1] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x11,x11,x26 + ldr x26,[x27,#96] // A[2][2] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x12,x12,x26 + beq Lprocess_block + + cmp x30,#144 + ldr x26,[x27,#104] // A[2][3] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x13,x13,x26 + ldr x26,[x27,#112] // A[2][4] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x14,x14,x26 + ldr x26,[x27,#120] // A[3][0] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x15,x15,x26 + ldr x26,[x27,#128] // A[3][1] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x16,x16,x26 + blo Lprocess_block + + ldr x26,[x27,#136] // A[3][2] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x17,x17,x26 + beq Lprocess_block + + ldr x26,[x27,#144] // A[3][3] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x25,x25,x26 + ldr x26,[x27,#152] // A[3][4] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x19,x19,x26 + ldr x26,[x27,#160] // A[4][0] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x20,x20,x26 + +Lprocess_block: + add x27,x27,x30 + str x27,[sp,#16+3*__SIZEOF_POINTER__] // save inp + + adr x28,iotas + bl KeccakF1600_int + + ldr x27,[sp,#16+3*__SIZEOF_POINTER__] // restore arguments + ldp x28,x30,[sp,#16+4*__SIZEOF_POINTER__] + b Loop_absorb + +.align 4 +Labsorbed: + ldr x27,[sp,#16+2*__SIZEOF_POINTER__] + stp x0,x1,[x27,#16*0] + stp x2,x3,[x27,#16*1] + stp x4,x5,[x27,#16*2] + stp x6,x7,[x27,#16*3] + stp x8,x9,[x27,#16*4] + stp x10,x11,[x27,#16*5] + stp x12,x13,[x27,#16*6] + stp x14,x15,[x27,#16*7] + stp x16,x17,[x27,#16*8] + stp x25,x19,[x27,#16*9] + stp x20,x21,[x27,#16*10] + stp x22,x23,[x27,#16*11] + str x24,[x27,#16*12] + + mov x0,x28 // return value + ldp x19,x20,[x29,#2*__SIZEOF_POINTER__] + add sp,sp,#16+4*__SIZEOF_POINTER__+16 + ldp x21,x22,[x29,#4*__SIZEOF_POINTER__] + ldp x23,x24,[x29,#6*__SIZEOF_POINTER__] + ldp x25,x26,[x29,#8*__SIZEOF_POINTER__] + ldp x27,x28,[x29,#10*__SIZEOF_POINTER__] + ldp x29,x30,[sp],#16*__SIZEOF_POINTER__ +.long 0xd50323bf // autiasp + ret + +.globl _crypton_keccak_asm_squeeze + +.align 5 +_crypton_keccak_asm_squeeze: +.long 0xd503233f // paciasp + stp x29,x30,[sp,#-6*__SIZEOF_POINTER__]! + add x29,sp,#0 + stp x19,x20,[sp,#2*__SIZEOF_POINTER__] + stp x21,x22,[sp,#4*__SIZEOF_POINTER__] + + mov x19,x0 // put aside arguments + mov x20,x1 + mov x21,x2 + mov x22,x3 + +Loop_squeeze: + ldr x4,[x0],#8 + cmp x21,#8 + blo Lsqueeze_tail +#ifdef __AARCH64EB__ + rev x4,x4 +#endif + str x4,[x20],#8 + subs x21,x21,#8 + beq Lsqueeze_done + + subs x3,x3,#8 + bhi Loop_squeeze + + mov x0,x19 + bl KeccakF1600 + mov x0,x19 + mov x3,x22 + b Loop_squeeze + +.align 4 +Lsqueeze_tail: + strb w4,[x20],#1 + lsr x4,x4,#8 + subs x21,x21,#1 + beq Lsqueeze_done + strb w4,[x20],#1 + lsr x4,x4,#8 + subs x21,x21,#1 + beq Lsqueeze_done + strb w4,[x20],#1 + lsr x4,x4,#8 + subs x21,x21,#1 + beq Lsqueeze_done + strb w4,[x20],#1 + lsr x4,x4,#8 + subs x21,x21,#1 + beq Lsqueeze_done + strb w4,[x20],#1 + lsr x4,x4,#8 + subs x21,x21,#1 + beq Lsqueeze_done + strb w4,[x20],#1 + lsr x4,x4,#8 + subs x21,x21,#1 + beq Lsqueeze_done + strb w4,[x20],#1 + +Lsqueeze_done: + ldp x19,x20,[sp,#2*__SIZEOF_POINTER__] + ldp x21,x22,[sp,#4*__SIZEOF_POINTER__] + ldp x29,x30,[sp],#6*__SIZEOF_POINTER__ +.long 0xd50323bf // autiasp + ret + + +.align 5 +KeccakF1600_ce: +Loop_ce: + ////////////////////////////////////////////////// Theta +.long 0xce0f2a99 //eor3 v25.16b,v20.16b,v15.16b,v10.16b +.long 0xce102eba //eor3 v26.16b,v21.16b,v16.16b,v11.16b +.long 0xce1132db //eor3 v27.16b,v22.16b,v17.16b,v12.16b +.long 0xce1236fc //eor3 v28.16b,v23.16b,v18.16b,v13.16b +.long 0xce133b1d //eor3 v29.16b,v24.16b,v19.16b,v14.16b +.long 0xce050339 //eor3 v25.16b,v25.16b, v5.16b,v0.16b +.long 0xce06075a //eor3 v26.16b,v26.16b, v6.16b,v1.16b +.long 0xce070b7b //eor3 v27.16b,v27.16b, v7.16b,v2.16b +.long 0xce080f9c //eor3 v28.16b,v28.16b, v8.16b,v3.16b +.long 0xce0913bd //eor3 v29.16b,v29.16b, v9.16b,v4.16b + +.long 0xce7b8f3e //rax1 v30.2d,v25.2d,v27.2d // D[1] +.long 0xce7c8f5f //rax1 v31.2d,v26.2d,v28.2d // D[2] +.long 0xce7d8f7b //rax1 v27.2d,v27.2d,v29.2d // D[3] +.long 0xce798f9c //rax1 v28.2d,v28.2d,v25.2d // D[4] +.long 0xce7a8fbd //rax1 v29.2d,v29.2d,v26.2d // D[0] + + ////////////////////////////////////////////////// Theta+Rho+Pi +.long 0xce9efc39 //xar v25.2d, v1.2d,v30.2d,#64-1 // C[0]=A[2][0] + +.long 0xce9e50c1 //xar v1.2d,v6.2d,v30.2d,#64-44 +.long 0xce9cb126 //xar v6.2d,v9.2d,v28.2d,#64-20 +.long 0xce9f0ec9 //xar v9.2d,v22.2d,v31.2d,#64-61 +.long 0xce9c65d6 //xar v22.2d,v14.2d,v28.2d,#64-39 +.long 0xce9dba8e //xar v14.2d,v20.2d,v29.2d,#64-18 + +.long 0xce9f085a //xar v26.2d, v2.2d,v31.2d,#64-62 // C[1]=A[4][0] + +.long 0xce9f5582 //xar v2.2d,v12.2d,v31.2d,#64-43 +.long 0xce9b9dac //xar v12.2d,v13.2d,v27.2d,#64-25 +.long 0xce9ce26d //xar v13.2d,v19.2d,v28.2d,#64-8 +.long 0xce9b22f3 //xar v19.2d,v23.2d,v27.2d,#64-56 +.long 0xce9d5df7 //xar v23.2d,v15.2d,v29.2d,#64-41 + +.long 0xce9c948f //xar v15.2d,v4.2d,v28.2d,#64-27 + +.long 0xce9ccb1c //xar v28.2d, v24.2d,v28.2d,#64-14 // D[4]=A[0][4] +.long 0xce9efab8 //xar v24.2d,v21.2d,v30.2d,#64-2 +.long 0xce9b2508 //xar v8.2d,v8.2d,v27.2d,#64-55 // A[1][3]=A[4][1] +.long 0xce9e4e04 //xar v4.2d,v16.2d,v30.2d,#64-45 // A[0][4]=A[1][3] +.long 0xce9d70b0 //xar v16.2d,v5.2d,v29.2d,#64-36 + +.long 0xce9b9065 //xar v5.2d,v3.2d,v27.2d,#64-28 + + eor v0.16b,v0.16b,v29.16b + +.long 0xce9bae5b //xar v27.2d, v18.2d,v27.2d,#64-21 // D[3]=A[0][3] +.long 0xce9fc623 //xar v3.2d,v17.2d,v31.2d,#64-15 // A[0][3]=A[3][3] +.long 0xce9ed97e //xar v30.2d, v11.2d,v30.2d,#64-10 // D[1]=A[3][2] +.long 0xce9fe8ff //xar v31.2d, v7.2d,v31.2d,#64-6 // D[2]=A[2][1] +.long 0xce9df55d //xar v29.2d, v10.2d,v29.2d,#64-3 // D[0]=A[1][2] + + ////////////////////////////////////////////////// Chi+Iota +.long 0xce362354 //bcax v20.16b,v26.16b, v22.16b,v8.16b // A[1][3]=A[4][1] +.long 0xce375915 //bcax v21.16b,v8.16b,v23.16b,v22.16b // A[1][3]=A[4][1] +.long 0xce385ed6 //bcax v22.16b,v22.16b,v24.16b,v23.16b +.long 0xce3a62f7 //bcax v23.16b,v23.16b,v26.16b, v24.16b +.long 0xce286b18 //bcax v24.16b,v24.16b,v8.16b,v26.16b // A[1][3]=A[4][1] + + ld1r {v26.2d},[x10],#8 + +.long 0xce330fd1 //bcax v17.16b,v30.16b, v19.16b,v3.16b // A[0][3]=A[3][3] +.long 0xce2f4c72 //bcax v18.16b,v3.16b,v15.16b,v19.16b // A[0][3]=A[3][3] +.long 0xce303e73 //bcax v19.16b,v19.16b,v16.16b,v15.16b +.long 0xce3e41ef //bcax v15.16b,v15.16b,v30.16b, v16.16b +.long 0xce237a10 //bcax v16.16b,v16.16b,v3.16b,v30.16b // A[0][3]=A[3][3] + +.long 0xce2c7f2a //bcax v10.16b,v25.16b, v12.16b,v31.16b +.long 0xce2d33eb //bcax v11.16b,v31.16b, v13.16b,v12.16b +.long 0xce2e358c //bcax v12.16b,v12.16b,v14.16b,v13.16b +.long 0xce3939ad //bcax v13.16b,v13.16b,v25.16b, v14.16b +.long 0xce3f65ce //bcax v14.16b,v14.16b,v31.16b, v25.16b + +.long 0xce2913a7 //bcax v7.16b,v29.16b, v9.16b,v4.16b // A[0][4]=A[1][3] +.long 0xce252488 //bcax v8.16b,v4.16b,v5.16b,v9.16b // A[0][4]=A[1][3] +.long 0xce261529 //bcax v9.16b,v9.16b,v6.16b,v5.16b +.long 0xce3d18a5 //bcax v5.16b,v5.16b,v29.16b, v6.16b +.long 0xce2474c6 //bcax v6.16b,v6.16b,v4.16b,v29.16b // A[0][4]=A[1][3] + +.long 0xce207363 //bcax v3.16b,v27.16b, v0.16b,v28.16b +.long 0xce210384 //bcax v4.16b,v28.16b, v1.16b,v0.16b +.long 0xce220400 //bcax v0.16b,v0.16b,v2.16b,v1.16b +.long 0xce3b0821 //bcax v1.16b,v1.16b,v27.16b, v2.16b +.long 0xce3c6c42 //bcax v2.16b,v2.16b,v28.16b, v27.16b + + eor v0.16b,v0.16b,v26.16b + + tst x10,#255 + bne Loop_ce + + ret + + + +.align 5 +KeccakF1600_cext: +.long 0xd503233f // paciasp + stp x29,x30,[sp,#-2*__SIZEOF_POINTER__-64]! + add x29,sp,#0 + stp d8,d9,[sp,#2*__SIZEOF_POINTER__+0] // per ABI requirement + stp d10,d11,[sp,#2*__SIZEOF_POINTER__+16] + stp d12,d13,[sp,#2*__SIZEOF_POINTER__+32] + stp d14,d15,[sp,#2*__SIZEOF_POINTER__+48] + ldp d0,d1,[x0,#8*0] + ldp d2,d3,[x0,#8*2] + ldp d4,d5,[x0,#8*4] + ldp d6,d7,[x0,#8*6] + ldp d8,d9,[x0,#8*8] + ldp d10,d11,[x0,#8*10] + ldp d12,d13,[x0,#8*12] + ldp d14,d15,[x0,#8*14] + ldp d16,d17,[x0,#8*16] + ldp d18,d19,[x0,#8*18] + ldp d20,d21,[x0,#8*20] + ldp d22,d23,[x0,#8*22] + ldr d24,[x0,#8*24] + adr x10,iotas + bl KeccakF1600_ce + ldr x30,[sp,#__SIZEOF_POINTER__] + stp d0,d1,[x0,#8*0] + stp d2,d3,[x0,#8*2] + stp d4,d5,[x0,#8*4] + stp d6,d7,[x0,#8*6] + stp d8,d9,[x0,#8*8] + stp d10,d11,[x0,#8*10] + stp d12,d13,[x0,#8*12] + stp d14,d15,[x0,#8*14] + stp d16,d17,[x0,#8*16] + stp d18,d19,[x0,#8*18] + stp d20,d21,[x0,#8*20] + stp d22,d23,[x0,#8*22] + str d24,[x0,#8*24] + + ldp d8,d9,[sp,#2*__SIZEOF_POINTER__+0] + ldp d10,d11,[sp,#2*__SIZEOF_POINTER__+16] + ldp d12,d13,[sp,#2*__SIZEOF_POINTER__+32] + ldp d14,d15,[sp,#2*__SIZEOF_POINTER__+48] + ldr x29,[sp],#2*__SIZEOF_POINTER__+64 +.long 0xd50323bf // autiasp + ret + +.globl _crypton_keccak_asm_absorb_cext + +.align 5 +_crypton_keccak_asm_absorb_cext: +.long 0xd503233f // paciasp + stp x29,x30,[sp,#-2*__SIZEOF_POINTER__-64]! + add x29,sp,#0 + stp d8,d9,[sp,#2*__SIZEOF_POINTER__+0] // per ABI requirement + stp d10,d11,[sp,#2*__SIZEOF_POINTER__+16] + stp d12,d13,[sp,#2*__SIZEOF_POINTER__+32] + stp d14,d15,[sp,#2*__SIZEOF_POINTER__+48] + ldp d0,d1,[x0,#8*0] + ldp d2,d3,[x0,#8*2] + ldp d4,d5,[x0,#8*4] + ldp d6,d7,[x0,#8*6] + ldp d8,d9,[x0,#8*8] + ldp d10,d11,[x0,#8*10] + ldp d12,d13,[x0,#8*12] + ldp d14,d15,[x0,#8*14] + ldp d16,d17,[x0,#8*16] + ldp d18,d19,[x0,#8*18] + ldp d20,d21,[x0,#8*20] + ldp d22,d23,[x0,#8*22] + ldr d24,[x0,#8*24] + b Loop_absorb_ce + +.align 4 +Loop_absorb_ce: + subs x2,x2,x3 // len - bsz + blo Labsorbed_ce + + cmp x3,#104 + ld1 {v27.8b,v28.8b,v29.8b,v30.8b},[x1],#32 + eor v0.16b,v0.16b,v27.16b + eor v1.16b,v1.16b,v28.16b + eor v2.16b,v2.16b,v29.16b + eor v3.16b,v3.16b,v30.16b + ld1 {v27.8b,v28.8b,v29.8b,v30.8b},[x1],#32 + eor v4.16b,v4.16b,v27.16b + eor v5.16b,v5.16b,v28.16b + eor v6.16b,v6.16b,v29.16b + eor v7.16b,v7.16b,v30.16b + ld1 {v31.8b},[x1],#8 // A[1][4] ^= *inp++ + eor v8.16b,v8.16b,v31.16b + blo Lprocess_block_ce + + ld1 {v27.8b,v28.8b,v29.8b,v30.8b},[x1],#32 + eor v9.16b,v9.16b,v27.16b + eor v10.16b,v10.16b,v28.16b + eor v11.16b,v11.16b,v29.16b + eor v12.16b,v12.16b,v30.16b + beq Lprocess_block_ce + + cmp x3,#144 + ld1 {v27.8b,v28.8b,v29.8b,v30.8b},[x1],#32 + eor v13.16b,v13.16b,v27.16b + eor v14.16b,v14.16b,v28.16b + eor v15.16b,v15.16b,v29.16b + eor v16.16b,v16.16b,v30.16b + blo Lprocess_block_ce + + ld1 {v31.8b},[x1],#8 // A[3][3] ^= *inp++ + eor v17.16b,v17.16b,v31.16b + beq Lprocess_block_ce + + ld1 {v28.8b,v29.8b,v30.8b},[x1],#24 + eor v18.16b,v18.16b,v28.16b + eor v19.16b,v19.16b,v29.16b + eor v20.16b,v20.16b,v30.16b + +Lprocess_block_ce: + adr x10,iotas + bl KeccakF1600_ce + + b Loop_absorb_ce + +.align 4 +Labsorbed_ce: + stp d0,d1,[x0,#8*0] + stp d2,d3,[x0,#8*2] + stp d4,d5,[x0,#8*4] + stp d6,d7,[x0,#8*6] + stp d8,d9,[x0,#8*8] + stp d10,d11,[x0,#8*10] + stp d12,d13,[x0,#8*12] + stp d14,d15,[x0,#8*14] + stp d16,d17,[x0,#8*16] + stp d18,d19,[x0,#8*18] + stp d20,d21,[x0,#8*20] + stp d22,d23,[x0,#8*22] + str d24,[x0,#8*24] + add x0,x2,x3 // return value + + ldp d8,d9,[sp,#2*__SIZEOF_POINTER__+0] + ldp d10,d11,[sp,#2*__SIZEOF_POINTER__+16] + ldp d12,d13,[sp,#2*__SIZEOF_POINTER__+32] + ldp d14,d15,[sp,#2*__SIZEOF_POINTER__+48] + ldp x29,x30,[sp],#2*__SIZEOF_POINTER__+64 +.long 0xd50323bf // autiasp + ret + +.globl _crypton_keccak_asm_squeeze_cext + +.align 5 +_crypton_keccak_asm_squeeze_cext: +.long 0xd503233f // paciasp + stp x29,x30,[sp,#-2*__SIZEOF_POINTER__]! + add x29,sp,#0 + mov x9,x0 + mov x10,x3 + +Loop_squeeze_ce: + ldr x4,[x9],#8 + cmp x2,#8 + blo Lsqueeze_tail_ce +#ifdef __AARCH64EB__ + rev x4,x4 +#endif + str x4,[x1],#8 + beq Lsqueeze_done_ce + + sub x2,x2,#8 + subs x10,x10,#8 + bhi Loop_squeeze_ce + + bl KeccakF1600_cext + ldr x30,[sp,#__SIZEOF_POINTER__] + mov x9,x0 + mov x10,x3 + b Loop_squeeze_ce + +.align 4 +Lsqueeze_tail_ce: + strb w4,[x1],#1 + lsr x4,x4,#8 + subs x2,x2,#1 + beq Lsqueeze_done_ce + strb w4,[x1],#1 + lsr x4,x4,#8 + subs x2,x2,#1 + beq Lsqueeze_done_ce + strb w4,[x1],#1 + lsr x4,x4,#8 + subs x2,x2,#1 + beq Lsqueeze_done_ce + strb w4,[x1],#1 + lsr x4,x4,#8 + subs x2,x2,#1 + beq Lsqueeze_done_ce + strb w4,[x1],#1 + lsr x4,x4,#8 + subs x2,x2,#1 + beq Lsqueeze_done_ce + strb w4,[x1],#1 + lsr x4,x4,#8 + subs x2,x2,#1 + beq Lsqueeze_done_ce + strb w4,[x1],#1 + +Lsqueeze_done_ce: + ldr x29,[sp],#2*__SIZEOF_POINTER__ +.long 0xd50323bf // autiasp + ret + +.byte 75,101,99,99,97,107,45,49,54,48,48,32,97,98,115,111,114,98,32,97,110,100,32,115,113,117,101,101,122,101,32,102,111,114,32,65,82,77,118,56,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.align 2 diff --git a/cbits/asm/keccak1600-armv8-linux64.S b/cbits/asm/keccak1600-armv8-linux64.S new file mode 100644 --- /dev/null +++ b/cbits/asm/keccak1600-armv8-linux64.S @@ -0,0 +1,843 @@ +.text + +.align 8 // strategic alignment and padding that allows to use + // address value as loop termination condition... +.quad 0,0,0,0,0,0,0,0 +.type iotas,%object +iotas: +.quad 0x0000000000000001 +.quad 0x0000000000008082 +.quad 0x800000000000808a +.quad 0x8000000080008000 +.quad 0x000000000000808b +.quad 0x0000000080000001 +.quad 0x8000000080008081 +.quad 0x8000000000008009 +.quad 0x000000000000008a +.quad 0x0000000000000088 +.quad 0x0000000080008009 +.quad 0x000000008000000a +.Liotas12: +.quad 0x000000008000808b +.quad 0x800000000000008b +.quad 0x8000000000008089 +.quad 0x8000000000008003 +.quad 0x8000000000008002 +.quad 0x8000000000000080 +.quad 0x000000000000800a +.quad 0x800000008000000a +.quad 0x8000000080008081 +.quad 0x8000000000008080 +.quad 0x0000000080000001 +.quad 0x8000000080008008 +.size iotas,.-iotas +.type KeccakF1600_int,%function +.align 5 +KeccakF1600_int: +.inst 0xd503233f // paciasp + stp x28,x30,[sp,#16] // stack is pre-allocated + b .Loop +.align 4 +.Loop: + ////////////////////////////////////////// Theta + eor x26,x0,x5 + stp x4,x9,[sp,#0] // offload pair... + eor x27,x1,x6 + eor x28,x2,x7 + eor x30,x3,x8 + eor x4,x4,x9 + eor x26,x26,x10 + eor x27,x27,x11 + eor x28,x28,x12 + eor x30,x30,x13 + eor x4,x4,x14 + eor x26,x26,x15 + eor x27,x27,x16 + eor x28,x28,x17 + eor x30,x30,x25 + eor x4,x4,x19 + eor x26,x26,x20 + eor x28,x28,x22 + eor x27,x27,x21 + eor x30,x30,x23 + eor x4,x4,x24 + + eor x9,x26,x28,ror#63 + + eor x1,x1,x9 + eor x6,x6,x9 + eor x11,x11,x9 + eor x16,x16,x9 + eor x21,x21,x9 + + eor x9,x27,x30,ror#63 + eor x28,x28,x4,ror#63 + eor x30,x30,x26,ror#63 + eor x4,x4,x27,ror#63 + + eor x27, x2,x9 // mov x27,x2 + eor x7,x7,x9 + eor x12,x12,x9 + eor x17,x17,x9 + eor x22,x22,x9 + + eor x0,x0,x4 + eor x5,x5,x4 + eor x10,x10,x4 + eor x15,x15,x4 + eor x20,x20,x4 + ldp x4,x9,[sp,#0] // re-load offloaded data + eor x26, x3,x28 // mov x26,x3 + eor x8,x8,x28 + eor x13,x13,x28 + eor x25,x25,x28 + eor x23,x23,x28 + + eor x28, x4,x30 // mov x28,x4 + eor x9,x9,x30 + eor x14,x14,x30 + eor x19,x19,x30 + eor x24,x24,x30 + + ////////////////////////////////////////// Rho+Pi + mov x30,x1 + ror x1,x6,#64-44 + //mov x27,x2 + ror x2,x12,#64-43 + //mov x26,x3 + ror x3,x25,#64-21 // ? + //mov x28,x4 + ror x4,x24,#64-14 // ? + + ror x6,x9,#64-20 // ? + ror x12,x13,#64-25 // ? + ror x25,x17,#64-15 + ror x24,x21,#64-2 // ? + + ror x9,x22,#64-61 + ror x13,x19,#64-8 + ror x17,x11,#64-10 + ror x21,x8,#64-55 + + ror x22,x14,#64-39 + ror x19,x23,#64-56 + ror x11,x7,#64-6 // ? + ror x8,x16,#64-45 + + ror x14,x20,#64-18 + ror x23,x15,#64-41 + ror x7,x10,#64-3 + ror x16,x5,#64-36 // ? + + ror x5,x26,#64-28 // ? + ror x10,x30,#64-1 + ror x15,x28,#64-27 // ? + ror x20,x27,#64-62 // ? + + ////////////////////////////////////////// Chi+Iota + bic x26,x2,x1 + bic x27,x3,x2 + bic x28,x0,x4 + bic x30,x1,x0 + eor x0,x0,x26 + bic x26,x4,x3 + eor x1,x1,x27 + ldr x27,[sp,#16] + eor x3,x3,x28 + eor x4,x4,x30 + eor x2,x2,x26 + ldr x30,[x27],#8 // Iota[i++] + + bic x26,x7,x6 + tst x27,#255 // are we done? + str x27,[sp,#16] + bic x27,x8,x7 + bic x28,x5,x9 + eor x0,x0,x30 // A[0][0] ^= Iota + bic x30,x6,x5 + eor x5,x5,x26 + bic x26,x9,x8 + eor x6,x6,x27 + eor x8,x8,x28 + eor x9,x9,x30 + eor x7,x7,x26 + + bic x26,x12,x11 + bic x27,x13,x12 + bic x28,x10,x14 + bic x30,x11,x10 + eor x10,x10,x26 + bic x26,x14,x13 + eor x11,x11,x27 + eor x13,x13,x28 + eor x14,x14,x30 + eor x12,x12,x26 + + bic x26,x17,x16 + bic x27,x25,x17 + bic x28,x15,x19 + bic x30,x16,x15 + eor x15,x15,x26 + bic x26,x19,x25 + eor x16,x16,x27 + eor x25,x25,x28 + eor x19,x19,x30 + eor x17,x17,x26 + + bic x26,x22,x21 + bic x27,x23,x22 + bic x28,x20,x24 + bic x30,x21,x20 + eor x20,x20,x26 + bic x26,x24,x23 + eor x21,x21,x27 + eor x23,x23,x28 + eor x24,x24,x30 + eor x22,x22,x26 + + bne .Loop + + ldr x30,[sp,#16+__SIZEOF_POINTER__] +.inst 0xd50323bf // autiasp + ret +.size KeccakF1600_int,.-KeccakF1600_int + +.type KeccakF1600,%function +.align 5 +KeccakF1600: +.inst 0xd503233f // paciasp + stp x29,x30,[sp,#-16*__SIZEOF_POINTER__]! + add x29,sp,#0 + stp x19,x20,[sp,#2*__SIZEOF_POINTER__] + stp x21,x22,[sp,#4*__SIZEOF_POINTER__] + stp x23,x24,[sp,#6*__SIZEOF_POINTER__] + stp x25,x26,[sp,#8*__SIZEOF_POINTER__] + stp x27,x28,[sp,#10*__SIZEOF_POINTER__] + sub sp,sp,#16+4*__SIZEOF_POINTER__ + + str x0,[sp,#16+2*__SIZEOF_POINTER__] // offload argument + mov x26,x0 + ldp x0,x1,[x0,#16*0] + ldp x2,x3,[x26,#16*1] + ldp x4,x5,[x26,#16*2] + ldp x6,x7,[x26,#16*3] + ldp x8,x9,[x26,#16*4] + ldp x10,x11,[x26,#16*5] + ldp x12,x13,[x26,#16*6] + ldp x14,x15,[x26,#16*7] + ldp x16,x17,[x26,#16*8] + ldp x25,x19,[x26,#16*9] + ldp x20,x21,[x26,#16*10] + ldp x22,x23,[x26,#16*11] + ldr x24,[x26,#16*12] + + adr x28,iotas + bl KeccakF1600_int + + ldr x26,[sp,#16+2*__SIZEOF_POINTER__] + stp x0,x1,[x26,#16*0] + stp x2,x3,[x26,#16*1] + stp x4,x5,[x26,#16*2] + stp x6,x7,[x26,#16*3] + stp x8,x9,[x26,#16*4] + stp x10,x11,[x26,#16*5] + stp x12,x13,[x26,#16*6] + stp x14,x15,[x26,#16*7] + stp x16,x17,[x26,#16*8] + stp x25,x19,[x26,#16*9] + stp x20,x21,[x26,#16*10] + stp x22,x23,[x26,#16*11] + str x24,[x26,#16*12] + + ldp x19,x20,[x29,#2*__SIZEOF_POINTER__] + add sp,sp,#16+4*__SIZEOF_POINTER__ + ldp x21,x22,[x29,#4*__SIZEOF_POINTER__] + ldp x23,x24,[x29,#6*__SIZEOF_POINTER__] + ldp x25,x26,[x29,#8*__SIZEOF_POINTER__] + ldp x27,x28,[x29,#10*__SIZEOF_POINTER__] + ldp x29,x30,[sp],#16*__SIZEOF_POINTER__ +.inst 0xd50323bf // autiasp + ret +.size KeccakF1600,.-KeccakF1600 + +.globl crypton_keccak_asm_absorb +.type crypton_keccak_asm_absorb,%function +.align 5 +crypton_keccak_asm_absorb: +.inst 0xd503233f // paciasp + stp x29,x30,[sp,#-16*__SIZEOF_POINTER__]! + add x29,sp,#0 + stp x19,x20,[sp,#2*__SIZEOF_POINTER__] + stp x21,x22,[sp,#4*__SIZEOF_POINTER__] + stp x23,x24,[sp,#6*__SIZEOF_POINTER__] + stp x25,x26,[sp,#8*__SIZEOF_POINTER__] + stp x27,x28,[sp,#10*__SIZEOF_POINTER__] + sub sp,sp,#16+4*__SIZEOF_POINTER__+16 + + stp x0,x1,[sp,#16+2*__SIZEOF_POINTER__] // offload arguments + stp x2,x3,[sp,#16+4*__SIZEOF_POINTER__] + + mov x26,x0 // uint64_t A[5][5] + mov x27,x1 // const void *inp + mov x28,x2 // size_t len + mov x30,x3 // size_t bsz + ldp x0,x1,[x26,#16*0] + ldp x2,x3,[x26,#16*1] + ldp x4,x5,[x26,#16*2] + ldp x6,x7,[x26,#16*3] + ldp x8,x9,[x26,#16*4] + ldp x10,x11,[x26,#16*5] + ldp x12,x13,[x26,#16*6] + ldp x14,x15,[x26,#16*7] + ldp x16,x17,[x26,#16*8] + ldp x25,x19,[x26,#16*9] + ldp x20,x21,[x26,#16*10] + ldp x22,x23,[x26,#16*11] + ldr x24,[x26,#16*12] + b .Loop_absorb + +.align 4 +.Loop_absorb: + subs x26,x28,x30 // len - bsz + blo .Labsorbed + + str x26,[sp,#16+4*__SIZEOF_POINTER__] // save len - bsz + cmp x30,#104 + ldr x26,[x27,#0] // A[0][0] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x0,x0,x26 + ldr x26,[x27,#8] // A[0][1] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x1,x1,x26 + ldr x26,[x27,#16] // A[0][2] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x2,x2,x26 + ldr x26,[x27,#24] // A[0][3] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x3,x3,x26 + ldr x26,[x27,#32] // A[0][4] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x4,x4,x26 + ldr x26,[x27,#40] // A[1][0] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x5,x5,x26 + ldr x26,[x27,#48] // A[1][1] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x6,x6,x26 + ldr x26,[x27,#56] // A[1][2] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x7,x7,x26 + ldr x26,[x27,#64] // A[1][3] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x8,x8,x26 + blo .Lprocess_block + + ldr x26,[x27,#72] // A[1][4] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x9,x9,x26 + ldr x26,[x27,#80] // A[2][0] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x10,x10,x26 + ldr x26,[x27,#88] // A[2][1] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x11,x11,x26 + ldr x26,[x27,#96] // A[2][2] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x12,x12,x26 + beq .Lprocess_block + + cmp x30,#144 + ldr x26,[x27,#104] // A[2][3] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x13,x13,x26 + ldr x26,[x27,#112] // A[2][4] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x14,x14,x26 + ldr x26,[x27,#120] // A[3][0] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x15,x15,x26 + ldr x26,[x27,#128] // A[3][1] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x16,x16,x26 + blo .Lprocess_block + + ldr x26,[x27,#136] // A[3][2] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x17,x17,x26 + beq .Lprocess_block + + ldr x26,[x27,#144] // A[3][3] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x25,x25,x26 + ldr x26,[x27,#152] // A[3][4] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x19,x19,x26 + ldr x26,[x27,#160] // A[4][0] ^= *inp++ +#ifdef __AARCH64EB__ + rev x26,x26 +#endif + eor x20,x20,x26 + +.Lprocess_block: + add x27,x27,x30 + str x27,[sp,#16+3*__SIZEOF_POINTER__] // save inp + + adr x28,iotas + bl KeccakF1600_int + + ldr x27,[sp,#16+3*__SIZEOF_POINTER__] // restore arguments + ldp x28,x30,[sp,#16+4*__SIZEOF_POINTER__] + b .Loop_absorb + +.align 4 +.Labsorbed: + ldr x27,[sp,#16+2*__SIZEOF_POINTER__] + stp x0,x1,[x27,#16*0] + stp x2,x3,[x27,#16*1] + stp x4,x5,[x27,#16*2] + stp x6,x7,[x27,#16*3] + stp x8,x9,[x27,#16*4] + stp x10,x11,[x27,#16*5] + stp x12,x13,[x27,#16*6] + stp x14,x15,[x27,#16*7] + stp x16,x17,[x27,#16*8] + stp x25,x19,[x27,#16*9] + stp x20,x21,[x27,#16*10] + stp x22,x23,[x27,#16*11] + str x24,[x27,#16*12] + + mov x0,x28 // return value + ldp x19,x20,[x29,#2*__SIZEOF_POINTER__] + add sp,sp,#16+4*__SIZEOF_POINTER__+16 + ldp x21,x22,[x29,#4*__SIZEOF_POINTER__] + ldp x23,x24,[x29,#6*__SIZEOF_POINTER__] + ldp x25,x26,[x29,#8*__SIZEOF_POINTER__] + ldp x27,x28,[x29,#10*__SIZEOF_POINTER__] + ldp x29,x30,[sp],#16*__SIZEOF_POINTER__ +.inst 0xd50323bf // autiasp + ret +.size crypton_keccak_asm_absorb,.-crypton_keccak_asm_absorb +.globl crypton_keccak_asm_squeeze +.type crypton_keccak_asm_squeeze,%function +.align 5 +crypton_keccak_asm_squeeze: +.inst 0xd503233f // paciasp + stp x29,x30,[sp,#-6*__SIZEOF_POINTER__]! + add x29,sp,#0 + stp x19,x20,[sp,#2*__SIZEOF_POINTER__] + stp x21,x22,[sp,#4*__SIZEOF_POINTER__] + + mov x19,x0 // put aside arguments + mov x20,x1 + mov x21,x2 + mov x22,x3 + +.Loop_squeeze: + ldr x4,[x0],#8 + cmp x21,#8 + blo .Lsqueeze_tail +#ifdef __AARCH64EB__ + rev x4,x4 +#endif + str x4,[x20],#8 + subs x21,x21,#8 + beq .Lsqueeze_done + + subs x3,x3,#8 + bhi .Loop_squeeze + + mov x0,x19 + bl KeccakF1600 + mov x0,x19 + mov x3,x22 + b .Loop_squeeze + +.align 4 +.Lsqueeze_tail: + strb w4,[x20],#1 + lsr x4,x4,#8 + subs x21,x21,#1 + beq .Lsqueeze_done + strb w4,[x20],#1 + lsr x4,x4,#8 + subs x21,x21,#1 + beq .Lsqueeze_done + strb w4,[x20],#1 + lsr x4,x4,#8 + subs x21,x21,#1 + beq .Lsqueeze_done + strb w4,[x20],#1 + lsr x4,x4,#8 + subs x21,x21,#1 + beq .Lsqueeze_done + strb w4,[x20],#1 + lsr x4,x4,#8 + subs x21,x21,#1 + beq .Lsqueeze_done + strb w4,[x20],#1 + lsr x4,x4,#8 + subs x21,x21,#1 + beq .Lsqueeze_done + strb w4,[x20],#1 + +.Lsqueeze_done: + ldp x19,x20,[sp,#2*__SIZEOF_POINTER__] + ldp x21,x22,[sp,#4*__SIZEOF_POINTER__] + ldp x29,x30,[sp],#6*__SIZEOF_POINTER__ +.inst 0xd50323bf // autiasp + ret +.size crypton_keccak_asm_squeeze,.-crypton_keccak_asm_squeeze +.type KeccakF1600_ce,%function +.align 5 +KeccakF1600_ce: +.Loop_ce: + ////////////////////////////////////////////////// Theta +.inst 0xce0f2a99 //eor3 v25.16b,v20.16b,v15.16b,v10.16b +.inst 0xce102eba //eor3 v26.16b,v21.16b,v16.16b,v11.16b +.inst 0xce1132db //eor3 v27.16b,v22.16b,v17.16b,v12.16b +.inst 0xce1236fc //eor3 v28.16b,v23.16b,v18.16b,v13.16b +.inst 0xce133b1d //eor3 v29.16b,v24.16b,v19.16b,v14.16b +.inst 0xce050339 //eor3 v25.16b,v25.16b, v5.16b,v0.16b +.inst 0xce06075a //eor3 v26.16b,v26.16b, v6.16b,v1.16b +.inst 0xce070b7b //eor3 v27.16b,v27.16b, v7.16b,v2.16b +.inst 0xce080f9c //eor3 v28.16b,v28.16b, v8.16b,v3.16b +.inst 0xce0913bd //eor3 v29.16b,v29.16b, v9.16b,v4.16b + +.inst 0xce7b8f3e //rax1 v30.2d,v25.2d,v27.2d // D[1] +.inst 0xce7c8f5f //rax1 v31.2d,v26.2d,v28.2d // D[2] +.inst 0xce7d8f7b //rax1 v27.2d,v27.2d,v29.2d // D[3] +.inst 0xce798f9c //rax1 v28.2d,v28.2d,v25.2d // D[4] +.inst 0xce7a8fbd //rax1 v29.2d,v29.2d,v26.2d // D[0] + + ////////////////////////////////////////////////// Theta+Rho+Pi +.inst 0xce9efc39 //xar v25.2d, v1.2d,v30.2d,#64-1 // C[0]=A[2][0] + +.inst 0xce9e50c1 //xar v1.2d,v6.2d,v30.2d,#64-44 +.inst 0xce9cb126 //xar v6.2d,v9.2d,v28.2d,#64-20 +.inst 0xce9f0ec9 //xar v9.2d,v22.2d,v31.2d,#64-61 +.inst 0xce9c65d6 //xar v22.2d,v14.2d,v28.2d,#64-39 +.inst 0xce9dba8e //xar v14.2d,v20.2d,v29.2d,#64-18 + +.inst 0xce9f085a //xar v26.2d, v2.2d,v31.2d,#64-62 // C[1]=A[4][0] + +.inst 0xce9f5582 //xar v2.2d,v12.2d,v31.2d,#64-43 +.inst 0xce9b9dac //xar v12.2d,v13.2d,v27.2d,#64-25 +.inst 0xce9ce26d //xar v13.2d,v19.2d,v28.2d,#64-8 +.inst 0xce9b22f3 //xar v19.2d,v23.2d,v27.2d,#64-56 +.inst 0xce9d5df7 //xar v23.2d,v15.2d,v29.2d,#64-41 + +.inst 0xce9c948f //xar v15.2d,v4.2d,v28.2d,#64-27 + +.inst 0xce9ccb1c //xar v28.2d, v24.2d,v28.2d,#64-14 // D[4]=A[0][4] +.inst 0xce9efab8 //xar v24.2d,v21.2d,v30.2d,#64-2 +.inst 0xce9b2508 //xar v8.2d,v8.2d,v27.2d,#64-55 // A[1][3]=A[4][1] +.inst 0xce9e4e04 //xar v4.2d,v16.2d,v30.2d,#64-45 // A[0][4]=A[1][3] +.inst 0xce9d70b0 //xar v16.2d,v5.2d,v29.2d,#64-36 + +.inst 0xce9b9065 //xar v5.2d,v3.2d,v27.2d,#64-28 + + eor v0.16b,v0.16b,v29.16b + +.inst 0xce9bae5b //xar v27.2d, v18.2d,v27.2d,#64-21 // D[3]=A[0][3] +.inst 0xce9fc623 //xar v3.2d,v17.2d,v31.2d,#64-15 // A[0][3]=A[3][3] +.inst 0xce9ed97e //xar v30.2d, v11.2d,v30.2d,#64-10 // D[1]=A[3][2] +.inst 0xce9fe8ff //xar v31.2d, v7.2d,v31.2d,#64-6 // D[2]=A[2][1] +.inst 0xce9df55d //xar v29.2d, v10.2d,v29.2d,#64-3 // D[0]=A[1][2] + + ////////////////////////////////////////////////// Chi+Iota +.inst 0xce362354 //bcax v20.16b,v26.16b, v22.16b,v8.16b // A[1][3]=A[4][1] +.inst 0xce375915 //bcax v21.16b,v8.16b,v23.16b,v22.16b // A[1][3]=A[4][1] +.inst 0xce385ed6 //bcax v22.16b,v22.16b,v24.16b,v23.16b +.inst 0xce3a62f7 //bcax v23.16b,v23.16b,v26.16b, v24.16b +.inst 0xce286b18 //bcax v24.16b,v24.16b,v8.16b,v26.16b // A[1][3]=A[4][1] + + ld1r {v26.2d},[x10],#8 + +.inst 0xce330fd1 //bcax v17.16b,v30.16b, v19.16b,v3.16b // A[0][3]=A[3][3] +.inst 0xce2f4c72 //bcax v18.16b,v3.16b,v15.16b,v19.16b // A[0][3]=A[3][3] +.inst 0xce303e73 //bcax v19.16b,v19.16b,v16.16b,v15.16b +.inst 0xce3e41ef //bcax v15.16b,v15.16b,v30.16b, v16.16b +.inst 0xce237a10 //bcax v16.16b,v16.16b,v3.16b,v30.16b // A[0][3]=A[3][3] + +.inst 0xce2c7f2a //bcax v10.16b,v25.16b, v12.16b,v31.16b +.inst 0xce2d33eb //bcax v11.16b,v31.16b, v13.16b,v12.16b +.inst 0xce2e358c //bcax v12.16b,v12.16b,v14.16b,v13.16b +.inst 0xce3939ad //bcax v13.16b,v13.16b,v25.16b, v14.16b +.inst 0xce3f65ce //bcax v14.16b,v14.16b,v31.16b, v25.16b + +.inst 0xce2913a7 //bcax v7.16b,v29.16b, v9.16b,v4.16b // A[0][4]=A[1][3] +.inst 0xce252488 //bcax v8.16b,v4.16b,v5.16b,v9.16b // A[0][4]=A[1][3] +.inst 0xce261529 //bcax v9.16b,v9.16b,v6.16b,v5.16b +.inst 0xce3d18a5 //bcax v5.16b,v5.16b,v29.16b, v6.16b +.inst 0xce2474c6 //bcax v6.16b,v6.16b,v4.16b,v29.16b // A[0][4]=A[1][3] + +.inst 0xce207363 //bcax v3.16b,v27.16b, v0.16b,v28.16b +.inst 0xce210384 //bcax v4.16b,v28.16b, v1.16b,v0.16b +.inst 0xce220400 //bcax v0.16b,v0.16b,v2.16b,v1.16b +.inst 0xce3b0821 //bcax v1.16b,v1.16b,v27.16b, v2.16b +.inst 0xce3c6c42 //bcax v2.16b,v2.16b,v28.16b, v27.16b + + eor v0.16b,v0.16b,v26.16b + + tst x10,#255 + bne .Loop_ce + + ret +.size KeccakF1600_ce,.-KeccakF1600_ce + +.type KeccakF1600_cext,%function +.align 5 +KeccakF1600_cext: +.inst 0xd503233f // paciasp + stp x29,x30,[sp,#-2*__SIZEOF_POINTER__-64]! + add x29,sp,#0 + stp d8,d9,[sp,#2*__SIZEOF_POINTER__+0] // per ABI requirement + stp d10,d11,[sp,#2*__SIZEOF_POINTER__+16] + stp d12,d13,[sp,#2*__SIZEOF_POINTER__+32] + stp d14,d15,[sp,#2*__SIZEOF_POINTER__+48] + ldp d0,d1,[x0,#8*0] + ldp d2,d3,[x0,#8*2] + ldp d4,d5,[x0,#8*4] + ldp d6,d7,[x0,#8*6] + ldp d8,d9,[x0,#8*8] + ldp d10,d11,[x0,#8*10] + ldp d12,d13,[x0,#8*12] + ldp d14,d15,[x0,#8*14] + ldp d16,d17,[x0,#8*16] + ldp d18,d19,[x0,#8*18] + ldp d20,d21,[x0,#8*20] + ldp d22,d23,[x0,#8*22] + ldr d24,[x0,#8*24] + adr x10,iotas + bl KeccakF1600_ce + ldr x30,[sp,#__SIZEOF_POINTER__] + stp d0,d1,[x0,#8*0] + stp d2,d3,[x0,#8*2] + stp d4,d5,[x0,#8*4] + stp d6,d7,[x0,#8*6] + stp d8,d9,[x0,#8*8] + stp d10,d11,[x0,#8*10] + stp d12,d13,[x0,#8*12] + stp d14,d15,[x0,#8*14] + stp d16,d17,[x0,#8*16] + stp d18,d19,[x0,#8*18] + stp d20,d21,[x0,#8*20] + stp d22,d23,[x0,#8*22] + str d24,[x0,#8*24] + + ldp d8,d9,[sp,#2*__SIZEOF_POINTER__+0] + ldp d10,d11,[sp,#2*__SIZEOF_POINTER__+16] + ldp d12,d13,[sp,#2*__SIZEOF_POINTER__+32] + ldp d14,d15,[sp,#2*__SIZEOF_POINTER__+48] + ldr x29,[sp],#2*__SIZEOF_POINTER__+64 +.inst 0xd50323bf // autiasp + ret +.size KeccakF1600_cext,.-KeccakF1600_cext +.globl crypton_keccak_asm_absorb_cext +.type crypton_keccak_asm_absorb_cext,%function +.align 5 +crypton_keccak_asm_absorb_cext: +.inst 0xd503233f // paciasp + stp x29,x30,[sp,#-2*__SIZEOF_POINTER__-64]! + add x29,sp,#0 + stp d8,d9,[sp,#2*__SIZEOF_POINTER__+0] // per ABI requirement + stp d10,d11,[sp,#2*__SIZEOF_POINTER__+16] + stp d12,d13,[sp,#2*__SIZEOF_POINTER__+32] + stp d14,d15,[sp,#2*__SIZEOF_POINTER__+48] + ldp d0,d1,[x0,#8*0] + ldp d2,d3,[x0,#8*2] + ldp d4,d5,[x0,#8*4] + ldp d6,d7,[x0,#8*6] + ldp d8,d9,[x0,#8*8] + ldp d10,d11,[x0,#8*10] + ldp d12,d13,[x0,#8*12] + ldp d14,d15,[x0,#8*14] + ldp d16,d17,[x0,#8*16] + ldp d18,d19,[x0,#8*18] + ldp d20,d21,[x0,#8*20] + ldp d22,d23,[x0,#8*22] + ldr d24,[x0,#8*24] + b .Loop_absorb_ce + +.align 4 +.Loop_absorb_ce: + subs x2,x2,x3 // len - bsz + blo .Labsorbed_ce + + cmp x3,#104 + ld1 {v27.8b,v28.8b,v29.8b,v30.8b},[x1],#32 + eor v0.16b,v0.16b,v27.16b + eor v1.16b,v1.16b,v28.16b + eor v2.16b,v2.16b,v29.16b + eor v3.16b,v3.16b,v30.16b + ld1 {v27.8b,v28.8b,v29.8b,v30.8b},[x1],#32 + eor v4.16b,v4.16b,v27.16b + eor v5.16b,v5.16b,v28.16b + eor v6.16b,v6.16b,v29.16b + eor v7.16b,v7.16b,v30.16b + ld1 {v31.8b},[x1],#8 // A[1][4] ^= *inp++ + eor v8.16b,v8.16b,v31.16b + blo .Lprocess_block_ce + + ld1 {v27.8b,v28.8b,v29.8b,v30.8b},[x1],#32 + eor v9.16b,v9.16b,v27.16b + eor v10.16b,v10.16b,v28.16b + eor v11.16b,v11.16b,v29.16b + eor v12.16b,v12.16b,v30.16b + beq .Lprocess_block_ce + + cmp x3,#144 + ld1 {v27.8b,v28.8b,v29.8b,v30.8b},[x1],#32 + eor v13.16b,v13.16b,v27.16b + eor v14.16b,v14.16b,v28.16b + eor v15.16b,v15.16b,v29.16b + eor v16.16b,v16.16b,v30.16b + blo .Lprocess_block_ce + + ld1 {v31.8b},[x1],#8 // A[3][3] ^= *inp++ + eor v17.16b,v17.16b,v31.16b + beq .Lprocess_block_ce + + ld1 {v28.8b,v29.8b,v30.8b},[x1],#24 + eor v18.16b,v18.16b,v28.16b + eor v19.16b,v19.16b,v29.16b + eor v20.16b,v20.16b,v30.16b + +.Lprocess_block_ce: + adr x10,iotas + bl KeccakF1600_ce + + b .Loop_absorb_ce + +.align 4 +.Labsorbed_ce: + stp d0,d1,[x0,#8*0] + stp d2,d3,[x0,#8*2] + stp d4,d5,[x0,#8*4] + stp d6,d7,[x0,#8*6] + stp d8,d9,[x0,#8*8] + stp d10,d11,[x0,#8*10] + stp d12,d13,[x0,#8*12] + stp d14,d15,[x0,#8*14] + stp d16,d17,[x0,#8*16] + stp d18,d19,[x0,#8*18] + stp d20,d21,[x0,#8*20] + stp d22,d23,[x0,#8*22] + str d24,[x0,#8*24] + add x0,x2,x3 // return value + + ldp d8,d9,[sp,#2*__SIZEOF_POINTER__+0] + ldp d10,d11,[sp,#2*__SIZEOF_POINTER__+16] + ldp d12,d13,[sp,#2*__SIZEOF_POINTER__+32] + ldp d14,d15,[sp,#2*__SIZEOF_POINTER__+48] + ldp x29,x30,[sp],#2*__SIZEOF_POINTER__+64 +.inst 0xd50323bf // autiasp + ret +.size crypton_keccak_asm_absorb_cext,.-crypton_keccak_asm_absorb_cext +.globl crypton_keccak_asm_squeeze_cext +.type crypton_keccak_asm_squeeze_cext,%function +.align 5 +crypton_keccak_asm_squeeze_cext: +.inst 0xd503233f // paciasp + stp x29,x30,[sp,#-2*__SIZEOF_POINTER__]! + add x29,sp,#0 + mov x9,x0 + mov x10,x3 + +.Loop_squeeze_ce: + ldr x4,[x9],#8 + cmp x2,#8 + blo .Lsqueeze_tail_ce +#ifdef __AARCH64EB__ + rev x4,x4 +#endif + str x4,[x1],#8 + beq .Lsqueeze_done_ce + + sub x2,x2,#8 + subs x10,x10,#8 + bhi .Loop_squeeze_ce + + bl KeccakF1600_cext + ldr x30,[sp,#__SIZEOF_POINTER__] + mov x9,x0 + mov x10,x3 + b .Loop_squeeze_ce + +.align 4 +.Lsqueeze_tail_ce: + strb w4,[x1],#1 + lsr x4,x4,#8 + subs x2,x2,#1 + beq .Lsqueeze_done_ce + strb w4,[x1],#1 + lsr x4,x4,#8 + subs x2,x2,#1 + beq .Lsqueeze_done_ce + strb w4,[x1],#1 + lsr x4,x4,#8 + subs x2,x2,#1 + beq .Lsqueeze_done_ce + strb w4,[x1],#1 + lsr x4,x4,#8 + subs x2,x2,#1 + beq .Lsqueeze_done_ce + strb w4,[x1],#1 + lsr x4,x4,#8 + subs x2,x2,#1 + beq .Lsqueeze_done_ce + strb w4,[x1],#1 + lsr x4,x4,#8 + subs x2,x2,#1 + beq .Lsqueeze_done_ce + strb w4,[x1],#1 + +.Lsqueeze_done_ce: + ldr x29,[sp],#2*__SIZEOF_POINTER__ +.inst 0xd50323bf // autiasp + ret +.size crypton_keccak_asm_squeeze_cext,.-crypton_keccak_asm_squeeze_cext +.byte 75,101,99,99,97,107,45,49,54,48,48,32,97,98,115,111,114,98,32,97,110,100,32,115,113,117,101,101,122,101,32,102,111,114,32,65,82,77,118,56,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.align 2 + +.section .note.GNU-stack,"",%progbits diff --git a/cbits/asm/keccak1600-armv8.pl b/cbits/asm/keccak1600-armv8.pl new file mode 100644 --- /dev/null +++ b/cbits/asm/keccak1600-armv8.pl @@ -0,0 +1,932 @@ +#!/usr/bin/env perl +# +# ==================================================================== +# Written by Andy Polyakov, @dot-asm, initially for the OpenSSL +# project. The module is, however, dual licensed under OpenSSL and +# CRYPTOGAMS licenses depending on where you obtain it. For further +# details see http://www.openssl.org/~appro/cryptogams/. +# ==================================================================== +# +# Keccak-1600 for ARMv8. +# +# June 2017. +# +# This is straightforward KECCAK_1X_ALT implementation. It makes no +# sense to attempt SIMD/NEON implementation for following reason. +# 64-bit lanes of vector registers can't be addressed as easily as in +# 32-bit mode. This means that 64-bit NEON is bound to be slower than +# 32-bit NEON, and this implementation is faster than 32-bit NEON on +# same processor. Even though it takes more scalar xor's and andn's, +# it gets compensated by availability of rotate. Not to forget that +# most processors achieve higher issue rate with scalar instructions. +# +# February 2018. +# +# Add hardware-assisted ARMv8.2 implementation. It's KECCAK_1X_ALT +# variant with register permutation/rotation twist that allows to +# eliminate copies to temporary registers. If you look closely you'll +# notice that it uses only one lane of vector registers. The new +# instructions effectively facilitate parallel hashing, which we don't +# support [yet?]. But lowest-level core procedure is prepared for it. +# The inner round is 67 [vector] instructions, so it's not actually +# obvious that it will provide performance improvement [in serial +# hash] as long as vector instructions issue rate is limited to 1 per +# cycle... +# +###################################################################### +# Numbers are cycles per processed byte. +# +# r=1088(*) +# +# Cortex-A53 13 +# Cortex-A57 12 +# Cortex-A76 7.9 +# Cortex-X2 6.1 (***) +# Cortex-X925 3.0 (**) +# X-Gene 14 +# Mongoose 10 +# Kryo 12 +# Snapdragon X 3.8 (**) +# Denver 7.8 +# Apple A7 7.2 +# Apple A10 6.1 +# Apple A12 4.4 +# Apple A14/M1 3.5 (**) +# ThunderX2 9.7 +# +# (*) Corresponds to SHA3-256. No improvement coefficients are listed +# because they vary too much from compiler to compiler. Newer +# compiler does much better and improvement varies from 5% on +# Cortex-A57 to 25% on Cortex-A53. While in comparison to older +# compiler this code is at least 2x faster... +# (**) The result is for hardware-assisted implementation below. +# (***) Hardware-assisted code is significantly slower, 11.3, +# apparently because the processor can issue just one SHA3 +# instruction per cycle. + +$flavour = shift; +$output = shift; + +if ($flavour && $flavour ne "void") { + $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; + ( $xlate="${dir}arm-xlate.pl" and -f $xlate ) or + ( $xlate="${dir}../../perlasm/arm-xlate.pl" and -f $xlate) or + die "can't locate arm-xlate.pl"; + + open STDOUT,"| \"$^X\" $xlate $flavour $output"; +} else { + open STDOUT,">$output"; +} + +my @rhotates = ([ 0, 1, 62, 28, 27 ], + [ 36, 44, 6, 55, 20 ], + [ 3, 10, 43, 25, 39 ], + [ 41, 45, 15, 21, 8 ], + [ 18, 2, 61, 56, 14 ]); + +my $sha3ops = ($flavour =~ /\+sha3/); + +$code.=<<___ if ($sha3ops); +.arch armv8.2-a+sha3 +___ +$code.=<<___; +.text + +.align 8 // strategic alignment and padding that allows to use + // address value as loop termination condition... + .quad 0,0,0,0,0,0,0,0 +.type iotas,%object +iotas: + .quad 0x0000000000000001 + .quad 0x0000000000008082 + .quad 0x800000000000808a + .quad 0x8000000080008000 + .quad 0x000000000000808b + .quad 0x0000000080000001 + .quad 0x8000000080008081 + .quad 0x8000000000008009 + .quad 0x000000000000008a + .quad 0x0000000000000088 + .quad 0x0000000080008009 + .quad 0x000000008000000a +.Liotas12: + .quad 0x000000008000808b + .quad 0x800000000000008b + .quad 0x8000000000008089 + .quad 0x8000000000008003 + .quad 0x8000000000008002 + .quad 0x8000000000000080 + .quad 0x000000000000800a + .quad 0x800000008000000a + .quad 0x8000000080008081 + .quad 0x8000000000008080 + .quad 0x0000000080000001 + .quad 0x8000000080008008 +.size iotas,.-iotas +___ + {{{ +my @A = map([ "x$_", "x".($_+1), "x".($_+2), "x".($_+3), "x".($_+4) ], + (0, 5, 10, 15, 20)); + $A[3][3] = "x25"; # x18 is reserved + +my @C = map("x$_", (26,27,28,30)); + +$code.=<<___; +.type KeccakF1600_int,%function +.align 5 +KeccakF1600_int: + .inst 0xd503233f // paciasp + stp c#$C[2],c30,[csp,#16] // stack is pre-allocated + b .Loop +.align 4 +.Loop: + ////////////////////////////////////////// Theta + eor $C[0],$A[0][0],$A[1][0] + stp $A[0][4],$A[1][4],[sp,#0] // offload pair... + eor $C[1],$A[0][1],$A[1][1] + eor $C[2],$A[0][2],$A[1][2] + eor $C[3],$A[0][3],$A[1][3] +___ + $C[4]=$A[0][4]; + $C[5]=$A[1][4]; +$code.=<<___; + eor $C[4],$A[0][4],$A[1][4] + eor $C[0],$C[0],$A[2][0] + eor $C[1],$C[1],$A[2][1] + eor $C[2],$C[2],$A[2][2] + eor $C[3],$C[3],$A[2][3] + eor $C[4],$C[4],$A[2][4] + eor $C[0],$C[0],$A[3][0] + eor $C[1],$C[1],$A[3][1] + eor $C[2],$C[2],$A[3][2] + eor $C[3],$C[3],$A[3][3] + eor $C[4],$C[4],$A[3][4] + eor $C[0],$C[0],$A[4][0] + eor $C[2],$C[2],$A[4][2] + eor $C[1],$C[1],$A[4][1] + eor $C[3],$C[3],$A[4][3] + eor $C[4],$C[4],$A[4][4] + + eor $C[5],$C[0],$C[2],ror#63 + + eor $A[0][1],$A[0][1],$C[5] + eor $A[1][1],$A[1][1],$C[5] + eor $A[2][1],$A[2][1],$C[5] + eor $A[3][1],$A[3][1],$C[5] + eor $A[4][1],$A[4][1],$C[5] + + eor $C[5],$C[1],$C[3],ror#63 + eor $C[2],$C[2],$C[4],ror#63 + eor $C[3],$C[3],$C[0],ror#63 + eor $C[4],$C[4],$C[1],ror#63 + + eor $C[1], $A[0][2],$C[5] // mov $C[1],$A[0][2] + eor $A[1][2],$A[1][2],$C[5] + eor $A[2][2],$A[2][2],$C[5] + eor $A[3][2],$A[3][2],$C[5] + eor $A[4][2],$A[4][2],$C[5] + + eor $A[0][0],$A[0][0],$C[4] + eor $A[1][0],$A[1][0],$C[4] + eor $A[2][0],$A[2][0],$C[4] + eor $A[3][0],$A[3][0],$C[4] + eor $A[4][0],$A[4][0],$C[4] +___ + $C[4]=undef; + $C[5]=undef; +$code.=<<___; + ldp $A[0][4],$A[1][4],[sp,#0] // re-load offloaded data + eor $C[0], $A[0][3],$C[2] // mov $C[0],$A[0][3] + eor $A[1][3],$A[1][3],$C[2] + eor $A[2][3],$A[2][3],$C[2] + eor $A[3][3],$A[3][3],$C[2] + eor $A[4][3],$A[4][3],$C[2] + + eor $C[2], $A[0][4],$C[3] // mov $C[2],$A[0][4] + eor $A[1][4],$A[1][4],$C[3] + eor $A[2][4],$A[2][4],$C[3] + eor $A[3][4],$A[3][4],$C[3] + eor $A[4][4],$A[4][4],$C[3] + + ////////////////////////////////////////// Rho+Pi + mov $C[3],$A[0][1] + ror $A[0][1],$A[1][1],#64-$rhotates[1][1] + //mov $C[1],$A[0][2] + ror $A[0][2],$A[2][2],#64-$rhotates[2][2] + //mov $C[0],$A[0][3] + ror $A[0][3],$A[3][3],#64-$rhotates[3][3] // ? + //mov $C[2],$A[0][4] + ror $A[0][4],$A[4][4],#64-$rhotates[4][4] // ? + + ror $A[1][1],$A[1][4],#64-$rhotates[1][4] // ? + ror $A[2][2],$A[2][3],#64-$rhotates[2][3] // ? + ror $A[3][3],$A[3][2],#64-$rhotates[3][2] + ror $A[4][4],$A[4][1],#64-$rhotates[4][1] // ? + + ror $A[1][4],$A[4][2],#64-$rhotates[4][2] + ror $A[2][3],$A[3][4],#64-$rhotates[3][4] + ror $A[3][2],$A[2][1],#64-$rhotates[2][1] + ror $A[4][1],$A[1][3],#64-$rhotates[1][3] + + ror $A[4][2],$A[2][4],#64-$rhotates[2][4] + ror $A[3][4],$A[4][3],#64-$rhotates[4][3] + ror $A[2][1],$A[1][2],#64-$rhotates[1][2] // ? + ror $A[1][3],$A[3][1],#64-$rhotates[3][1] + + ror $A[2][4],$A[4][0],#64-$rhotates[4][0] + ror $A[4][3],$A[3][0],#64-$rhotates[3][0] + ror $A[1][2],$A[2][0],#64-$rhotates[2][0] + ror $A[3][1],$A[1][0],#64-$rhotates[1][0] // ? + + ror $A[1][0],$C[0],#64-$rhotates[0][3] // ? + ror $A[2][0],$C[3],#64-$rhotates[0][1] + ror $A[3][0],$C[2],#64-$rhotates[0][4] // ? + ror $A[4][0],$C[1],#64-$rhotates[0][2] // ? + + ////////////////////////////////////////// Chi+Iota + bic $C[0],$A[0][2],$A[0][1] + bic $C[1],$A[0][3],$A[0][2] + bic $C[2],$A[0][0],$A[0][4] + bic $C[3],$A[0][1],$A[0][0] + eor $A[0][0],$A[0][0],$C[0] + bic $C[0],$A[0][4],$A[0][3] + eor $A[0][1],$A[0][1],$C[1] + ldr c#$C[1],[csp,#16] + eor $A[0][3],$A[0][3],$C[2] + eor $A[0][4],$A[0][4],$C[3] + eor $A[0][2],$A[0][2],$C[0] + ldr $C[3],[$C[1]],#8 // Iota[i++] + + bic $C[0],$A[1][2],$A[1][1] + tst $C[1],#255 // are we done? + str c#$C[1],[csp,#16] + bic $C[1],$A[1][3],$A[1][2] + bic $C[2],$A[1][0],$A[1][4] + eor $A[0][0],$A[0][0],$C[3] // A[0][0] ^= Iota + bic $C[3],$A[1][1],$A[1][0] + eor $A[1][0],$A[1][0],$C[0] + bic $C[0],$A[1][4],$A[1][3] + eor $A[1][1],$A[1][1],$C[1] + eor $A[1][3],$A[1][3],$C[2] + eor $A[1][4],$A[1][4],$C[3] + eor $A[1][2],$A[1][2],$C[0] + + bic $C[0],$A[2][2],$A[2][1] + bic $C[1],$A[2][3],$A[2][2] + bic $C[2],$A[2][0],$A[2][4] + bic $C[3],$A[2][1],$A[2][0] + eor $A[2][0],$A[2][0],$C[0] + bic $C[0],$A[2][4],$A[2][3] + eor $A[2][1],$A[2][1],$C[1] + eor $A[2][3],$A[2][3],$C[2] + eor $A[2][4],$A[2][4],$C[3] + eor $A[2][2],$A[2][2],$C[0] + + bic $C[0],$A[3][2],$A[3][1] + bic $C[1],$A[3][3],$A[3][2] + bic $C[2],$A[3][0],$A[3][4] + bic $C[3],$A[3][1],$A[3][0] + eor $A[3][0],$A[3][0],$C[0] + bic $C[0],$A[3][4],$A[3][3] + eor $A[3][1],$A[3][1],$C[1] + eor $A[3][3],$A[3][3],$C[2] + eor $A[3][4],$A[3][4],$C[3] + eor $A[3][2],$A[3][2],$C[0] + + bic $C[0],$A[4][2],$A[4][1] + bic $C[1],$A[4][3],$A[4][2] + bic $C[2],$A[4][0],$A[4][4] + bic $C[3],$A[4][1],$A[4][0] + eor $A[4][0],$A[4][0],$C[0] + bic $C[0],$A[4][4],$A[4][3] + eor $A[4][1],$A[4][1],$C[1] + eor $A[4][3],$A[4][3],$C[2] + eor $A[4][4],$A[4][4],$C[3] + eor $A[4][2],$A[4][2],$C[0] + + bne .Loop + + ldr c30,[csp,#16+__SIZEOF_POINTER__] + .inst 0xd50323bf // autiasp + ret +.size KeccakF1600_int,.-KeccakF1600_int + +.type KeccakF1600,%function +.align 5 +KeccakF1600: + .inst 0xd503233f // paciasp + stp c29,c30,[csp,#-16*__SIZEOF_POINTER__]! + add c29,csp,#0 + stp c19,c20,[csp,#2*__SIZEOF_POINTER__] + stp c21,c22,[csp,#4*__SIZEOF_POINTER__] + stp c23,c24,[csp,#6*__SIZEOF_POINTER__] + stp c25,c26,[csp,#8*__SIZEOF_POINTER__] + stp c27,c28,[csp,#10*__SIZEOF_POINTER__] + sub csp,csp,#16+4*__SIZEOF_POINTER__ + + str c0,[csp,#16+2*__SIZEOF_POINTER__] // offload argument + mov c#$C[0],c0 + ldp $A[0][0],$A[0][1],[x0,#16*0] + ldp $A[0][2],$A[0][3],[$C[0],#16*1] + ldp $A[0][4],$A[1][0],[$C[0],#16*2] + ldp $A[1][1],$A[1][2],[$C[0],#16*3] + ldp $A[1][3],$A[1][4],[$C[0],#16*4] + ldp $A[2][0],$A[2][1],[$C[0],#16*5] + ldp $A[2][2],$A[2][3],[$C[0],#16*6] + ldp $A[2][4],$A[3][0],[$C[0],#16*7] + ldp $A[3][1],$A[3][2],[$C[0],#16*8] + ldp $A[3][3],$A[3][4],[$C[0],#16*9] + ldp $A[4][0],$A[4][1],[$C[0],#16*10] + ldp $A[4][2],$A[4][3],[$C[0],#16*11] + ldr $A[4][4],[$C[0],#16*12] + + adr $C[2],iotas + bl KeccakF1600_int + + ldr c#$C[0],[csp,#16+2*__SIZEOF_POINTER__] + stp $A[0][0],$A[0][1],[$C[0],#16*0] + stp $A[0][2],$A[0][3],[$C[0],#16*1] + stp $A[0][4],$A[1][0],[$C[0],#16*2] + stp $A[1][1],$A[1][2],[$C[0],#16*3] + stp $A[1][3],$A[1][4],[$C[0],#16*4] + stp $A[2][0],$A[2][1],[$C[0],#16*5] + stp $A[2][2],$A[2][3],[$C[0],#16*6] + stp $A[2][4],$A[3][0],[$C[0],#16*7] + stp $A[3][1],$A[3][2],[$C[0],#16*8] + stp $A[3][3],$A[3][4],[$C[0],#16*9] + stp $A[4][0],$A[4][1],[$C[0],#16*10] + stp $A[4][2],$A[4][3],[$C[0],#16*11] + str $A[4][4],[$C[0],#16*12] + + ldp c19,c20,[c29,#2*__SIZEOF_POINTER__] + add csp,csp,#16+4*__SIZEOF_POINTER__ + ldp c21,c22,[c29,#4*__SIZEOF_POINTER__] + ldp c23,c24,[c29,#6*__SIZEOF_POINTER__] + ldp c25,c26,[c29,#8*__SIZEOF_POINTER__] + ldp c27,c28,[c29,#10*__SIZEOF_POINTER__] + ldp c29,c30,[csp],#16*__SIZEOF_POINTER__ + .inst 0xd50323bf // autiasp + ret +.size KeccakF1600,.-KeccakF1600 + +.globl SHA3_absorb +.type SHA3_absorb,%function +.align 5 +SHA3_absorb: + .inst 0xd503233f // paciasp + stp c29,c30,[csp,#-16*__SIZEOF_POINTER__]! + add c29,csp,#0 + stp c19,c20,[csp,#2*__SIZEOF_POINTER__] + stp c21,c22,[csp,#4*__SIZEOF_POINTER__] + stp c23,c24,[csp,#6*__SIZEOF_POINTER__] + stp c25,c26,[csp,#8*__SIZEOF_POINTER__] + stp c27,c28,[csp,#10*__SIZEOF_POINTER__] + sub csp,csp,#16+4*__SIZEOF_POINTER__+16 + + stp c0,c1,[csp,#16+2*__SIZEOF_POINTER__] // offload arguments + stp x2,x3,[csp,#16+4*__SIZEOF_POINTER__] + + mov c#$C[0],c0 // uint64_t A[5][5] + mov c#$C[1],c1 // const void *inp + mov $C[2],x2 // size_t len + mov $C[3],x3 // size_t bsz + ldp $A[0][0],$A[0][1],[$C[0],#16*0] + ldp $A[0][2],$A[0][3],[$C[0],#16*1] + ldp $A[0][4],$A[1][0],[$C[0],#16*2] + ldp $A[1][1],$A[1][2],[$C[0],#16*3] + ldp $A[1][3],$A[1][4],[$C[0],#16*4] + ldp $A[2][0],$A[2][1],[$C[0],#16*5] + ldp $A[2][2],$A[2][3],[$C[0],#16*6] + ldp $A[2][4],$A[3][0],[$C[0],#16*7] + ldp $A[3][1],$A[3][2],[$C[0],#16*8] + ldp $A[3][3],$A[3][4],[$C[0],#16*9] + ldp $A[4][0],$A[4][1],[$C[0],#16*10] + ldp $A[4][2],$A[4][3],[$C[0],#16*11] + ldr $A[4][4],[$C[0],#16*12] + b .Loop_absorb + +.align 4 +.Loop_absorb: + subs $C[0],$C[2],$C[3] // len - bsz + blo .Labsorbed + + str $C[0],[csp,#16+4*__SIZEOF_POINTER__] // save len - bsz + cmp $C[3],#104 +___ +sub load_n_xor { + my ($from,$to) = @_; + + for (my $i=$from; $i<=$to; $i++) { +$code.=<<___; + ldr $C[0],[$C[1],#`8*$i`] // A[`$i/5`][`$i%5`] ^= *inp++ +#ifdef __AARCH64EB__ + rev $C[0],$C[0] +#endif + eor $A[$i/5][$i%5],$A[$i/5][$i%5],$C[0] +___ + } +} +load_n_xor(0,8); +$code.=<<___; + blo .Lprocess_block + +___ +load_n_xor(9,12); +$code.=<<___; + beq .Lprocess_block + + cmp $C[3],#144 +___ +load_n_xor(13,16); +$code.=<<___; + blo .Lprocess_block + +___ +load_n_xor(17,17); +$code.=<<___; + beq .Lprocess_block + +___ +load_n_xor(18,20); +$code.=<<___; + +.Lprocess_block: + add c#$C[1],c#@C[1],@C[3] + str c#$C[1],[csp,#16+3*__SIZEOF_POINTER__] // save inp + + adr $C[2],iotas + bl KeccakF1600_int + + ldr c#$C[1],[csp,#16+3*__SIZEOF_POINTER__] // restore arguments + ldp $C[2],$C[3],[csp,#16+4*__SIZEOF_POINTER__] + b .Loop_absorb + +.align 4 +.Labsorbed: + ldr c#$C[1],[sp,#16+2*__SIZEOF_POINTER__] + stp $A[0][0],$A[0][1],[$C[1],#16*0] + stp $A[0][2],$A[0][3],[$C[1],#16*1] + stp $A[0][4],$A[1][0],[$C[1],#16*2] + stp $A[1][1],$A[1][2],[$C[1],#16*3] + stp $A[1][3],$A[1][4],[$C[1],#16*4] + stp $A[2][0],$A[2][1],[$C[1],#16*5] + stp $A[2][2],$A[2][3],[$C[1],#16*6] + stp $A[2][4],$A[3][0],[$C[1],#16*7] + stp $A[3][1],$A[3][2],[$C[1],#16*8] + stp $A[3][3],$A[3][4],[$C[1],#16*9] + stp $A[4][0],$A[4][1],[$C[1],#16*10] + stp $A[4][2],$A[4][3],[$C[1],#16*11] + str $A[4][4],[$C[1],#16*12] + + mov x0,$C[2] // return value + ldp c19,c20,[c29,#2*__SIZEOF_POINTER__] + add csp,csp,#16+4*__SIZEOF_POINTER__+16 + ldp c21,c22,[c29,#4*__SIZEOF_POINTER__] + ldp c23,c24,[c29,#6*__SIZEOF_POINTER__] + ldp c25,c26,[c29,#8*__SIZEOF_POINTER__] + ldp c27,c28,[c29,#10*__SIZEOF_POINTER__] + ldp c29,c30,[csp],#16*__SIZEOF_POINTER__ + .inst 0xd50323bf // autiasp + ret +.size SHA3_absorb,.-SHA3_absorb +___ +{ +my ($A_flat,$out,$len,$bsz) = map("x$_",(19..22)); +$code.=<<___; +.globl SHA3_squeeze +.type SHA3_squeeze,%function +.align 5 +SHA3_squeeze: + .inst 0xd503233f // paciasp + stp c29,c30,[csp,#-6*__SIZEOF_POINTER__]! + add c29,csp,#0 + stp c19,c20,[csp,#2*__SIZEOF_POINTER__] + stp c21,c22,[csp,#4*__SIZEOF_POINTER__] + + cmov $A_flat,x0 // put aside arguments + cmov $out,x1 + mov $len,x2 + mov $bsz,x3 + +.Loop_squeeze: + ldr x4,[x0],#8 + cmp $len,#8 + blo .Lsqueeze_tail +#ifdef __AARCH64EB__ + rev x4,x4 +#endif + str x4,[$out],#8 + subs $len,$len,#8 + beq .Lsqueeze_done + + subs x3,x3,#8 + bhi .Loop_squeeze + + cmov x0,$A_flat + bl KeccakF1600 + cmov x0,$A_flat + mov x3,$bsz + b .Loop_squeeze + +.align 4 +.Lsqueeze_tail: + strb w4,[$out],#1 + lsr x4,x4,#8 + subs $len,$len,#1 + beq .Lsqueeze_done + strb w4,[$out],#1 + lsr x4,x4,#8 + subs $len,$len,#1 + beq .Lsqueeze_done + strb w4,[$out],#1 + lsr x4,x4,#8 + subs $len,$len,#1 + beq .Lsqueeze_done + strb w4,[$out],#1 + lsr x4,x4,#8 + subs $len,$len,#1 + beq .Lsqueeze_done + strb w4,[$out],#1 + lsr x4,x4,#8 + subs $len,$len,#1 + beq .Lsqueeze_done + strb w4,[$out],#1 + lsr x4,x4,#8 + subs $len,$len,#1 + beq .Lsqueeze_done + strb w4,[$out],#1 + +.Lsqueeze_done: + ldp c19,c20,[csp,#2*__SIZEOF_POINTER__] + ldp c21,c22,[csp,#4*__SIZEOF_POINTER__] + ldp c29,c30,[csp],#6*__SIZEOF_POINTER__ + .inst 0xd50323bf // autiasp + ret +.size SHA3_squeeze,.-SHA3_squeeze +___ +} }}} + {{{ +my @A = map([ "v".$_.".16b", "v".($_+1).".16b", "v".($_+2).".16b", + "v".($_+3).".16b", "v".($_+4).".16b" ], + (0, 5, 10, 15, 20)); + +my @C = map("v$_.16b", (25..31)); +my @D = @C[4,5,6,2,3]; + +$code.=<<___; +.type KeccakF1600_ce,%function +.align 5 +KeccakF1600_ce: +.Loop_ce: + ////////////////////////////////////////////////// Theta + eor3 $C[0],$A[4][0],$A[3][0],$A[2][0] + eor3 $C[1],$A[4][1],$A[3][1],$A[2][1] + eor3 $C[2],$A[4][2],$A[3][2],$A[2][2] + eor3 $C[3],$A[4][3],$A[3][3],$A[2][3] + eor3 $C[4],$A[4][4],$A[3][4],$A[2][4] + eor3 $C[0],$C[0], $A[1][0],$A[0][0] + eor3 $C[1],$C[1], $A[1][1],$A[0][1] + eor3 $C[2],$C[2], $A[1][2],$A[0][2] + eor3 $C[3],$C[3], $A[1][3],$A[0][3] + eor3 $C[4],$C[4], $A[1][4],$A[0][4] + + rax1 $C[5],$C[0],$C[2] // D[1] + rax1 $C[6],$C[1],$C[3] // D[2] + rax1 $C[2],$C[2],$C[4] // D[3] + rax1 $C[3],$C[3],$C[0] // D[4] + rax1 $C[4],$C[4],$C[1] // D[0] + + ////////////////////////////////////////////////// Theta+Rho+Pi + xar $C[0], $A[0][1],$D[1],#64-$rhotates[0][1] // C[0]=A[2][0] + + xar $A[0][1],$A[1][1],$D[1],#64-$rhotates[1][1] + xar $A[1][1],$A[1][4],$D[4],#64-$rhotates[1][4] + xar $A[1][4],$A[4][2],$D[2],#64-$rhotates[4][2] + xar $A[4][2],$A[2][4],$D[4],#64-$rhotates[2][4] + xar $A[2][4],$A[4][0],$D[0],#64-$rhotates[4][0] + + xar $C[1], $A[0][2],$D[2],#64-$rhotates[0][2] // C[1]=A[4][0] + + xar $A[0][2],$A[2][2],$D[2],#64-$rhotates[2][2] + xar $A[2][2],$A[2][3],$D[3],#64-$rhotates[2][3] + xar $A[2][3],$A[3][4],$D[4],#64-$rhotates[3][4] + xar $A[3][4],$A[4][3],$D[3],#64-$rhotates[4][3] + xar $A[4][3],$A[3][0],$D[0],#64-$rhotates[3][0] + + xar $A[3][0],$A[0][4],$D[4],#64-$rhotates[0][4] + + xar $D[4], $A[4][4],$D[4],#64-$rhotates[4][4] // D[4]=A[0][4] + xar $A[4][4],$A[4][1],$D[1],#64-$rhotates[4][1] + xar $A[1][3],$A[1][3],$D[3],#64-$rhotates[1][3] // A[1][3]=A[4][1] + xar $A[0][4],$A[3][1],$D[1],#64-$rhotates[3][1] // A[0][4]=A[1][3] + xar $A[3][1],$A[1][0],$D[0],#64-$rhotates[1][0] + + xar $A[1][0],$A[0][3],$D[3],#64-$rhotates[0][3] + + eor $A[0][0],$A[0][0],$D[0] + + xar $D[3], $A[3][3],$D[3],#64-$rhotates[3][3] // D[3]=A[0][3] + xar $A[0][3],$A[3][2],$D[2],#64-$rhotates[3][2] // A[0][3]=A[3][3] + xar $D[1], $A[2][1],$D[1],#64-$rhotates[2][1] // D[1]=A[3][2] + xar $D[2], $A[1][2],$D[2],#64-$rhotates[1][2] // D[2]=A[2][1] + xar $D[0], $A[2][0],$D[0],#64-$rhotates[2][0] // D[0]=A[1][2] + + ////////////////////////////////////////////////// Chi+Iota + bcax $A[4][0],$C[1], $A[4][2],$A[1][3] // A[1][3]=A[4][1] + bcax $A[4][1],$A[1][3],$A[4][3],$A[4][2] // A[1][3]=A[4][1] + bcax $A[4][2],$A[4][2],$A[4][4],$A[4][3] + bcax $A[4][3],$A[4][3],$C[1], $A[4][4] + bcax $A[4][4],$A[4][4],$A[1][3],$C[1] // A[1][3]=A[4][1] + + ld1r {$C[1]},[x10],#8 + + bcax $A[3][2],$D[1], $A[3][4],$A[0][3] // A[0][3]=A[3][3] + bcax $A[3][3],$A[0][3],$A[3][0],$A[3][4] // A[0][3]=A[3][3] + bcax $A[3][4],$A[3][4],$A[3][1],$A[3][0] + bcax $A[3][0],$A[3][0],$D[1], $A[3][1] + bcax $A[3][1],$A[3][1],$A[0][3],$D[1] // A[0][3]=A[3][3] + + bcax $A[2][0],$C[0], $A[2][2],$D[2] + bcax $A[2][1],$D[2], $A[2][3],$A[2][2] + bcax $A[2][2],$A[2][2],$A[2][4],$A[2][3] + bcax $A[2][3],$A[2][3],$C[0], $A[2][4] + bcax $A[2][4],$A[2][4],$D[2], $C[0] + + bcax $A[1][2],$D[0], $A[1][4],$A[0][4] // A[0][4]=A[1][3] + bcax $A[1][3],$A[0][4],$A[1][0],$A[1][4] // A[0][4]=A[1][3] + bcax $A[1][4],$A[1][4],$A[1][1],$A[1][0] + bcax $A[1][0],$A[1][0],$D[0], $A[1][1] + bcax $A[1][1],$A[1][1],$A[0][4],$D[0] // A[0][4]=A[1][3] + + bcax $A[0][3],$D[3], $A[0][0],$D[4] + bcax $A[0][4],$D[4], $A[0][1],$A[0][0] + bcax $A[0][0],$A[0][0],$A[0][2],$A[0][1] + bcax $A[0][1],$A[0][1],$D[3], $A[0][2] + bcax $A[0][2],$A[0][2],$D[4], $D[3] + + eor $A[0][0],$A[0][0],$C[1] + + tst x10,#255 + bne .Loop_ce + + ret +.size KeccakF1600_ce,.-KeccakF1600_ce + +.type KeccakF1600_cext,%function +.align 5 +KeccakF1600_cext: + .inst 0xd503233f // paciasp + stp c29,c30,[csp,#-2*__SIZEOF_POINTER__-64]! + add c29,csp,#0 + stp d8,d9,[csp,#2*__SIZEOF_POINTER__+0] // per ABI requirement + stp d10,d11,[csp,#2*__SIZEOF_POINTER__+16] + stp d12,d13,[csp,#2*__SIZEOF_POINTER__+32] + stp d14,d15,[csp,#2*__SIZEOF_POINTER__+48] +___ +for($i=0; $i<24; $i+=2) { # load A[5][5] +my $j=$i+1; +$code.=<<___; + ldp d$i,d$j,[x0,#8*$i] +___ +} +$code.=<<___; + ldr d24,[x0,#8*$i] + adr x10,iotas + bl KeccakF1600_ce + ldr c30,[csp,#__SIZEOF_POINTER__] +___ +for($i=0; $i<24; $i+=2) { # store A[5][5] +my $j=$i+1; +$code.=<<___; + stp d$i,d$j,[x0,#8*$i] +___ +} +$code.=<<___; + str d24,[x0,#8*$i] + + ldp d8,d9,[csp,#2*__SIZEOF_POINTER__+0] + ldp d10,d11,[csp,#2*__SIZEOF_POINTER__+16] + ldp d12,d13,[csp,#2*__SIZEOF_POINTER__+32] + ldp d14,d15,[csp,#2*__SIZEOF_POINTER__+48] + ldr c29,[csp],#2*__SIZEOF_POINTER__+64 + .inst 0xd50323bf // autiasp + ret +.size KeccakF1600_cext,.-KeccakF1600_cext +___ + +{ +my ($ctx,$inp,$len,$bsz) = map("x$_",(0..3)); + +$code.=<<___; +.globl SHA3_absorb_cext +.type SHA3_absorb_cext,%function +.align 5 +SHA3_absorb_cext: + .inst 0xd503233f // paciasp + stp c29,c30,[csp,#-2*__SIZEOF_POINTER__-64]! + add c29,csp,#0 + stp d8,d9,[csp,#2*__SIZEOF_POINTER__+0] // per ABI requirement + stp d10,d11,[csp,#2*__SIZEOF_POINTER__+16] + stp d12,d13,[csp,#2*__SIZEOF_POINTER__+32] + stp d14,d15,[csp,#2*__SIZEOF_POINTER__+48] +___ +for($i=0; $i<24; $i+=2) { # load A[5][5] +my $j=$i+1; +$code.=<<___; + ldp d$i,d$j,[x0,#8*$i] +___ +} +$code.=<<___; + ldr d24,[x0,#8*$i] + b .Loop_absorb_ce + +.align 4 +.Loop_absorb_ce: + subs $len,$len,$bsz // len - bsz + blo .Labsorbed_ce + + cmp $bsz,#104 +___ +sub load_n_xor_ce { + my ($from,$to) = @_; + my $range = $to-$from+1; + + while ($range>=4) { +$code.=<<___; + ld1 {v27.8b-v30.8b},[$inp],#32 + eor $A[$from/5][$from%5],$A[$from/5][$from++%5],v27.16b + eor $A[$from/5][$from%5],$A[$from/5][$from++%5],v28.16b + eor $A[$from/5][$from%5],$A[$from/5][$from++%5],v29.16b + eor $A[$from/5][$from%5],$A[$from/5][$from++%5],v30.16b +___ + $range-=4; + } + while ($range>=3) { +$code.=<<___; + ld1 {v28.8b-v30.8b},[$inp],#24 + eor $A[$from/5][$from%5],$A[$from/5][$from++%5],v28.16b + eor $A[$from/5][$from%5],$A[$from/5][$from++%5],v29.16b + eor $A[$from/5][$from%5],$A[$from/5][$from++%5],v30.16b +___ + $range-=3; + } + while ($from<=$to) { +$code.=<<___; + ld1 {v31.8b},[$inp],#8 // A[`$from/5`][`$from%5`] ^= *inp++ + eor $A[$from/5][$from%5],$A[$from/5][$from++%5],v31.16b +___ + } +} +load_n_xor_ce(0,8); +$code.=<<___; + blo .Lprocess_block_ce + +___ +load_n_xor_ce(9,12); +$code.=<<___; + beq .Lprocess_block_ce + + cmp $bsz,#144 +___ +load_n_xor_ce(13,16); +$code.=<<___; + blo .Lprocess_block_ce + +___ +load_n_xor_ce(17,17); +$code.=<<___; + beq .Lprocess_block_ce + +___ +load_n_xor_ce(18,20); +$code.=<<___; + +.Lprocess_block_ce: + adr x10,iotas + bl KeccakF1600_ce + + b .Loop_absorb_ce + +.align 4 +.Labsorbed_ce: +___ +for($i=0; $i<24; $i+=2) { # store A[5][5] +my $j=$i+1; +$code.=<<___; + stp d$i,d$j,[x0,#8*$i] +___ +} +$code.=<<___; + str d24,[x0,#8*$i] + add x0,$len,$bsz // return value + + ldp d8,d9,[csp,#2*__SIZEOF_POINTER__+0] + ldp d10,d11,[csp,#2*__SIZEOF_POINTER__+16] + ldp d12,d13,[csp,#2*__SIZEOF_POINTER__+32] + ldp d14,d15,[csp,#2*__SIZEOF_POINTER__+48] + ldp c29,c30,[csp],#2*__SIZEOF_POINTER__+64 + .inst 0xd50323bf // autiasp + ret +.size SHA3_absorb_cext,.-SHA3_absorb_cext +___ +} +{ +my ($ctx,$out,$len,$bsz) = map("x$_",(0..3)); +$code.=<<___; +.globl SHA3_squeeze_cext +.type SHA3_squeeze_cext,%function +.align 5 +SHA3_squeeze_cext: + .inst 0xd503233f // paciasp + stp c29,c30,[csp,#-2*__SIZEOF_POINTER__]! + add c29,csp,#0 + cmov x9,$ctx + mov x10,$bsz + +.Loop_squeeze_ce: + ldr x4,[x9],#8 + cmp $len,#8 + blo .Lsqueeze_tail_ce +#ifdef __AARCH64EB__ + rev x4,x4 +#endif + str x4,[$out],#8 + beq .Lsqueeze_done_ce + + sub $len,$len,#8 + subs x10,x10,#8 + bhi .Loop_squeeze_ce + + bl KeccakF1600_cext + ldr c30,[csp,#__SIZEOF_POINTER__] + cmov x9,$ctx + mov x10,$bsz + b .Loop_squeeze_ce + +.align 4 +.Lsqueeze_tail_ce: + strb w4,[$out],#1 + lsr x4,x4,#8 + subs $len,$len,#1 + beq .Lsqueeze_done_ce + strb w4,[$out],#1 + lsr x4,x4,#8 + subs $len,$len,#1 + beq .Lsqueeze_done_ce + strb w4,[$out],#1 + lsr x4,x4,#8 + subs $len,$len,#1 + beq .Lsqueeze_done_ce + strb w4,[$out],#1 + lsr x4,x4,#8 + subs $len,$len,#1 + beq .Lsqueeze_done_ce + strb w4,[$out],#1 + lsr x4,x4,#8 + subs $len,$len,#1 + beq .Lsqueeze_done_ce + strb w4,[$out],#1 + lsr x4,x4,#8 + subs $len,$len,#1 + beq .Lsqueeze_done_ce + strb w4,[$out],#1 + +.Lsqueeze_done_ce: + ldr c29,[csp],#2*__SIZEOF_POINTER__ + .inst 0xd50323bf // autiasp + ret +.size SHA3_squeeze_cext,.-SHA3_squeeze_cext +___ +} }}} +$code.=<<___; +.asciz "Keccak-1600 absorb and squeeze for ARMv8, CRYPTOGAMS by \@dot-asm" +___ + +{ my %opcode = ( + "rax1" => 0xce608c00, "eor3" => 0xce000000, + "bcax" => 0xce200000, "xar" => 0xce800000 ); + + sub unsha3 { + my ($mnemonic,$arg)=@_; + + $arg =~ m/[qv]([0-9]+)[^,]*,\s*[qv]([0-9]+)[^,]*(?:,\s*[qv]([0-9]+)[^,]*(?:,\s*[qv#]([0-9\-]+))?)?/ + && + sprintf ".inst\t0x%08x\t//%s %s", + $opcode{$mnemonic}|$1|($2<<5)|($3<<16)|(eval($4)<<10), + $mnemonic,$arg; + } +} + +foreach(split("\n",$code)) { + use integer; + + s/\`([^\`]*)\`/eval($1)/ge; + + m/\b(ld1r|rax1|xar)\b/ and s/\.16b/.2d/g; + $sha3ops or s/\b(eor3|rax1|xar|bcax)\s+(v.*)/unsha3($1,$2)/ge; + s/([cw])#x([0-9]+)/$1$2/g; + + print $_,"\n"; +} + +close STDOUT; diff --git a/cbits/asm/keccak1600-x86_64-elf.S b/cbits/asm/keccak1600-x86_64-elf.S new file mode 100644 --- /dev/null +++ b/cbits/asm/keccak1600-x86_64-elf.S @@ -0,0 +1,538 @@ +.text + +.type __crypton_keccak_asm_f1600,@function +.align 32 +__crypton_keccak_asm_f1600: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + movq 60(%rdi),%rax + movq 68(%rdi),%rbx + movq 76(%rdi),%rcx + movq 84(%rdi),%rdx + movq 92(%rdi),%rbp + jmp .Loop + +.align 32 +.Loop: + movq -100(%rdi),%r8 + movq -52(%rdi),%r9 + movq -4(%rdi),%r10 + movq 44(%rdi),%r11 + + xorq -84(%rdi),%rcx + xorq -76(%rdi),%rdx + xorq %r8,%rax + xorq -92(%rdi),%rbx + xorq -44(%rdi),%rcx + xorq -60(%rdi),%rax + movq %rbp,%r12 + xorq -68(%rdi),%rbp + + xorq %r10,%rcx + xorq -20(%rdi),%rax + xorq -36(%rdi),%rdx + xorq %r9,%rbx + xorq -28(%rdi),%rbp + + xorq 36(%rdi),%rcx + xorq 20(%rdi),%rax + xorq 4(%rdi),%rdx + xorq -12(%rdi),%rbx + xorq 12(%rdi),%rbp + + movq %rcx,%r13 + rolq $1,%rcx + xorq %rax,%rcx + xorq %r11,%rdx + + rolq $1,%rax + xorq %rdx,%rax + xorq 28(%rdi),%rbx + + rolq $1,%rdx + xorq %rbx,%rdx + xorq 52(%rdi),%rbp + + rolq $1,%rbx + xorq %rbp,%rbx + + rolq $1,%rbp + xorq %r13,%rbp + xorq %rcx,%r9 + xorq %rdx,%r10 + rolq $44,%r9 + xorq %rbp,%r11 + xorq %rax,%r12 + rolq $43,%r10 + xorq %rbx,%r8 + movq %r9,%r13 + rolq $21,%r11 + orq %r10,%r9 + xorq %r8,%r9 + rolq $14,%r12 + + xorq (%r15),%r9 + leaq 8(%r15),%r15 + + movq %r12,%r14 + andq %r11,%r12 + movq %r9,-100(%rsi) + xorq %r10,%r12 + notq %r10 + movq %r12,-84(%rsi) + + orq %r11,%r10 + movq 76(%rdi),%r12 + xorq %r13,%r10 + movq %r10,-92(%rsi) + + andq %r8,%r13 + movq -28(%rdi),%r9 + xorq %r14,%r13 + movq -20(%rdi),%r10 + movq %r13,-68(%rsi) + + orq %r8,%r14 + movq -76(%rdi),%r8 + xorq %r11,%r14 + movq 28(%rdi),%r11 + movq %r14,-76(%rsi) + + + xorq %rbp,%r8 + xorq %rdx,%r12 + rolq $28,%r8 + xorq %rcx,%r11 + xorq %rax,%r9 + rolq $61,%r12 + rolq $45,%r11 + xorq %rbx,%r10 + rolq $20,%r9 + movq %r8,%r13 + orq %r12,%r8 + rolq $3,%r10 + + xorq %r11,%r8 + movq %r8,-36(%rsi) + + movq %r9,%r14 + andq %r13,%r9 + movq -92(%rdi),%r8 + xorq %r12,%r9 + notq %r12 + movq %r9,-28(%rsi) + + orq %r11,%r12 + movq -44(%rdi),%r9 + xorq %r10,%r12 + movq %r12,-44(%rsi) + + andq %r10,%r11 + movq 60(%rdi),%r12 + xorq %r14,%r11 + movq %r11,-52(%rsi) + + orq %r10,%r14 + movq 4(%rdi),%r10 + xorq %r13,%r14 + movq 52(%rdi),%r11 + movq %r14,-60(%rsi) + + + xorq %rbp,%r10 + xorq %rax,%r11 + rolq $25,%r10 + xorq %rdx,%r9 + rolq $8,%r11 + xorq %rbx,%r12 + rolq $6,%r9 + xorq %rcx,%r8 + rolq $18,%r12 + movq %r10,%r13 + andq %r11,%r10 + rolq $1,%r8 + + notq %r11 + xorq %r9,%r10 + movq %r10,-12(%rsi) + + movq %r12,%r14 + andq %r11,%r12 + movq -12(%rdi),%r10 + xorq %r13,%r12 + movq %r12,-4(%rsi) + + orq %r9,%r13 + movq 84(%rdi),%r12 + xorq %r8,%r13 + movq %r13,-20(%rsi) + + andq %r8,%r9 + xorq %r14,%r9 + movq %r9,12(%rsi) + + orq %r8,%r14 + movq -60(%rdi),%r9 + xorq %r11,%r14 + movq 36(%rdi),%r11 + movq %r14,4(%rsi) + + + movq -68(%rdi),%r8 + + xorq %rcx,%r10 + xorq %rdx,%r11 + rolq $10,%r10 + xorq %rbx,%r9 + rolq $15,%r11 + xorq %rbp,%r12 + rolq $36,%r9 + xorq %rax,%r8 + rolq $56,%r12 + movq %r10,%r13 + orq %r11,%r10 + rolq $27,%r8 + + notq %r11 + xorq %r9,%r10 + movq %r10,28(%rsi) + + movq %r12,%r14 + orq %r11,%r12 + xorq %r13,%r12 + movq %r12,36(%rsi) + + andq %r9,%r13 + xorq %r8,%r13 + movq %r13,20(%rsi) + + orq %r8,%r9 + xorq %r14,%r9 + movq %r9,52(%rsi) + + andq %r14,%r8 + xorq %r11,%r8 + movq %r8,44(%rsi) + + + xorq -84(%rdi),%rdx + xorq -36(%rdi),%rbp + rolq $62,%rdx + xorq 68(%rdi),%rcx + rolq $55,%rbp + xorq 12(%rdi),%rax + rolq $2,%rcx + xorq 20(%rdi),%rbx + xchgq %rsi,%rdi + rolq $39,%rax + rolq $41,%rbx + movq %rdx,%r13 + andq %rbp,%rdx + notq %rbp + xorq %rcx,%rdx + movq %rdx,92(%rdi) + + movq %rax,%r14 + andq %rbp,%rax + xorq %r13,%rax + movq %rax,60(%rdi) + + orq %rcx,%r13 + xorq %rbx,%r13 + movq %r13,84(%rdi) + + andq %rbx,%rcx + xorq %r14,%rcx + movq %rcx,76(%rdi) + + orq %r14,%rbx + xorq %rbp,%rbx + movq %rbx,68(%rdi) + + movq %rdx,%rbp + movq %r13,%rdx + + testq $255,%r15 + jnz .Loop + + leaq -192(%r15),%r15 + .byte 0xf3,0xc3 +.cfi_endproc +.size __crypton_keccak_asm_f1600,.-__crypton_keccak_asm_f1600 + +.globl crypton_keccak_asm_f1600 +.type crypton_keccak_asm_f1600,@function +.align 32 +crypton_keccak_asm_f1600: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbx +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbx,-16 + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-24 + pushq %r12 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r15,-56 + + leaq 100(%rdi),%rdi + subq $200,%rsp +.cfi_adjust_cfa_offset 200 + + + notq -92(%rdi) + notq -84(%rdi) + notq -36(%rdi) + notq -4(%rdi) + notq 36(%rdi) + notq 60(%rdi) + + leaq iotas(%rip),%r15 + leaq 100(%rsp),%rsi + + call __crypton_keccak_asm_f1600 + + notq -92(%rdi) + notq -84(%rdi) + notq -36(%rdi) + notq -4(%rdi) + notq 36(%rdi) + notq 60(%rdi) + leaq -100(%rdi),%rdi + + leaq 248(%rsp),%r11 +.cfi_def_cfa %r11,8 + movq -48(%r11),%r15 + movq -40(%r11),%r14 + movq -32(%r11),%r13 + movq -24(%r11),%r12 + movq -16(%r11),%rbp + movq -8(%r11),%rbx + leaq (%r11),%rsp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbp +.cfi_restore %rbx + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_keccak_asm_f1600,.-crypton_keccak_asm_f1600 +.globl crypton_keccak_asm_absorb +.type crypton_keccak_asm_absorb,@function +.align 32 +crypton_keccak_asm_absorb: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbx +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbx,-16 + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-24 + pushq %r12 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r15,-56 + + leaq 100(%rdi),%rdi + subq $232,%rsp +.cfi_adjust_cfa_offset 232 + + + movq %rsi,%r9 + leaq 100(%rsp),%rsi + + notq -92(%rdi) + notq -84(%rdi) + notq -36(%rdi) + notq -4(%rdi) + notq 36(%rdi) + notq 60(%rdi) + leaq iotas(%rip),%r15 + + movq %rcx,216-100(%rsi) + +.Loop_absorb: + cmpq %rcx,%rdx + jc .Ldone_absorb + + shrq $3,%rcx + leaq -100(%rdi),%r8 + +.Lblock_absorb: + movq (%r9),%rax + leaq 8(%r9),%r9 + xorq (%r8),%rax + leaq 8(%r8),%r8 + subq $8,%rdx + movq %rax,-8(%r8) + subq $1,%rcx + jnz .Lblock_absorb + + movq %r9,200-100(%rsi) + movq %rdx,208-100(%rsi) + call __crypton_keccak_asm_f1600 + movq 200-100(%rsi),%r9 + movq 208-100(%rsi),%rdx + movq 216-100(%rsi),%rcx + jmp .Loop_absorb + +.align 32 +.Ldone_absorb: + movq %rdx,%rax + + notq -92(%rdi) + notq -84(%rdi) + notq -36(%rdi) + notq -4(%rdi) + notq 36(%rdi) + notq 60(%rdi) + + leaq 280(%rsp),%r11 +.cfi_def_cfa %r11,8 + movq -48(%r11),%r15 + movq -40(%r11),%r14 + movq -32(%r11),%r13 + movq -24(%r11),%r12 + movq -16(%r11),%rbp + movq -8(%r11),%rbx + leaq (%r11),%rsp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbp +.cfi_restore %rbx + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_keccak_asm_absorb,.-crypton_keccak_asm_absorb +.globl crypton_keccak_asm_squeeze +.type crypton_keccak_asm_squeeze,@function +.align 32 +crypton_keccak_asm_squeeze: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %r12 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r12,-16 + pushq %r13 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r13,-24 + pushq %r14 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r14,-32 + subq $32,%rsp +.cfi_adjust_cfa_offset 32 + + + shrq $3,%rcx + movq %rdi,%r8 + movq %rsi,%r12 + movq %rdx,%r13 + movq %rcx,%r14 + jmp .Loop_squeeze + +.align 32 +.Loop_squeeze: + cmpq $8,%r13 + jb .Ltail_squeeze + + movq (%r8),%rax + leaq 8(%r8),%r8 + movq %rax,(%r12) + leaq 8(%r12),%r12 + subq $8,%r13 + jz .Ldone_squeeze + + subq $1,%rcx + jnz .Loop_squeeze + + movq %rdi,%rcx + call crypton_keccak_asm_f1600 + movq %rdi,%r8 + movq %r14,%rcx + jmp .Loop_squeeze + +.Ltail_squeeze: + movq %r8,%rsi + movq %r12,%rdi + movq %r13,%rcx +.byte 0xf3,0xa4 + +.Ldone_squeeze: + movq 32(%rsp),%r14 + movq 40(%rsp),%r13 + movq 48(%rsp),%r12 + addq $56,%rsp +.cfi_adjust_cfa_offset -56 +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_keccak_asm_squeeze,.-crypton_keccak_asm_squeeze +.align 256 +.quad 0,0,0,0,0,0,0,0 +.type iotas,@object +iotas: +.quad 0x0000000000000001 +.quad 0x0000000000008082 +.quad 0x800000000000808a +.quad 0x8000000080008000 +.quad 0x000000000000808b +.quad 0x0000000080000001 +.quad 0x8000000080008081 +.quad 0x8000000000008009 +.quad 0x000000000000008a +.quad 0x0000000000000088 +.quad 0x0000000080008009 +.quad 0x000000008000000a +.quad 0x000000008000808b +.quad 0x800000000000008b +.quad 0x8000000000008089 +.quad 0x8000000000008003 +.quad 0x8000000000008002 +.quad 0x8000000000000080 +.quad 0x000000000000800a +.quad 0x800000008000000a +.quad 0x8000000080008081 +.quad 0x8000000000008080 +.quad 0x0000000080000001 +.quad 0x8000000080008008 +.size iotas,.-iotas +.byte 75,101,99,99,97,107,45,49,54,48,48,32,97,98,115,111,114,98,32,97,110,100,32,115,113,117,101,101,122,101,32,102,111,114,32,120,56,54,95,54,52,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,60,97,112,112,114,111,64,111,112,101,110,115,115,108,46,111,114,103,62,0 + +.section .note.gnu.property,"a",@note + .long 4,2f-1f,5 + .byte 0x47,0x4E,0x55,0 +1: .long 0xc0000002,4,3 +.align 8 +2: + +.section .note.GNU-stack,"",@progbits diff --git a/cbits/asm/keccak1600-x86_64-macosx.S b/cbits/asm/keccak1600-x86_64-macosx.S new file mode 100644 --- /dev/null +++ b/cbits/asm/keccak1600-x86_64-macosx.S @@ -0,0 +1,529 @@ +.text + + +.p2align 5 +__crypton_keccak_asm_f1600: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + movq 60(%rdi),%rax + movq 68(%rdi),%rbx + movq 76(%rdi),%rcx + movq 84(%rdi),%rdx + movq 92(%rdi),%rbp + jmp L$oop + +.p2align 5 +L$oop: + movq -100(%rdi),%r8 + movq -52(%rdi),%r9 + movq -4(%rdi),%r10 + movq 44(%rdi),%r11 + + xorq -84(%rdi),%rcx + xorq -76(%rdi),%rdx + xorq %r8,%rax + xorq -92(%rdi),%rbx + xorq -44(%rdi),%rcx + xorq -60(%rdi),%rax + movq %rbp,%r12 + xorq -68(%rdi),%rbp + + xorq %r10,%rcx + xorq -20(%rdi),%rax + xorq -36(%rdi),%rdx + xorq %r9,%rbx + xorq -28(%rdi),%rbp + + xorq 36(%rdi),%rcx + xorq 20(%rdi),%rax + xorq 4(%rdi),%rdx + xorq -12(%rdi),%rbx + xorq 12(%rdi),%rbp + + movq %rcx,%r13 + rolq $1,%rcx + xorq %rax,%rcx + xorq %r11,%rdx + + rolq $1,%rax + xorq %rdx,%rax + xorq 28(%rdi),%rbx + + rolq $1,%rdx + xorq %rbx,%rdx + xorq 52(%rdi),%rbp + + rolq $1,%rbx + xorq %rbp,%rbx + + rolq $1,%rbp + xorq %r13,%rbp + xorq %rcx,%r9 + xorq %rdx,%r10 + rolq $44,%r9 + xorq %rbp,%r11 + xorq %rax,%r12 + rolq $43,%r10 + xorq %rbx,%r8 + movq %r9,%r13 + rolq $21,%r11 + orq %r10,%r9 + xorq %r8,%r9 + rolq $14,%r12 + + xorq (%r15),%r9 + leaq 8(%r15),%r15 + + movq %r12,%r14 + andq %r11,%r12 + movq %r9,-100(%rsi) + xorq %r10,%r12 + notq %r10 + movq %r12,-84(%rsi) + + orq %r11,%r10 + movq 76(%rdi),%r12 + xorq %r13,%r10 + movq %r10,-92(%rsi) + + andq %r8,%r13 + movq -28(%rdi),%r9 + xorq %r14,%r13 + movq -20(%rdi),%r10 + movq %r13,-68(%rsi) + + orq %r8,%r14 + movq -76(%rdi),%r8 + xorq %r11,%r14 + movq 28(%rdi),%r11 + movq %r14,-76(%rsi) + + + xorq %rbp,%r8 + xorq %rdx,%r12 + rolq $28,%r8 + xorq %rcx,%r11 + xorq %rax,%r9 + rolq $61,%r12 + rolq $45,%r11 + xorq %rbx,%r10 + rolq $20,%r9 + movq %r8,%r13 + orq %r12,%r8 + rolq $3,%r10 + + xorq %r11,%r8 + movq %r8,-36(%rsi) + + movq %r9,%r14 + andq %r13,%r9 + movq -92(%rdi),%r8 + xorq %r12,%r9 + notq %r12 + movq %r9,-28(%rsi) + + orq %r11,%r12 + movq -44(%rdi),%r9 + xorq %r10,%r12 + movq %r12,-44(%rsi) + + andq %r10,%r11 + movq 60(%rdi),%r12 + xorq %r14,%r11 + movq %r11,-52(%rsi) + + orq %r10,%r14 + movq 4(%rdi),%r10 + xorq %r13,%r14 + movq 52(%rdi),%r11 + movq %r14,-60(%rsi) + + + xorq %rbp,%r10 + xorq %rax,%r11 + rolq $25,%r10 + xorq %rdx,%r9 + rolq $8,%r11 + xorq %rbx,%r12 + rolq $6,%r9 + xorq %rcx,%r8 + rolq $18,%r12 + movq %r10,%r13 + andq %r11,%r10 + rolq $1,%r8 + + notq %r11 + xorq %r9,%r10 + movq %r10,-12(%rsi) + + movq %r12,%r14 + andq %r11,%r12 + movq -12(%rdi),%r10 + xorq %r13,%r12 + movq %r12,-4(%rsi) + + orq %r9,%r13 + movq 84(%rdi),%r12 + xorq %r8,%r13 + movq %r13,-20(%rsi) + + andq %r8,%r9 + xorq %r14,%r9 + movq %r9,12(%rsi) + + orq %r8,%r14 + movq -60(%rdi),%r9 + xorq %r11,%r14 + movq 36(%rdi),%r11 + movq %r14,4(%rsi) + + + movq -68(%rdi),%r8 + + xorq %rcx,%r10 + xorq %rdx,%r11 + rolq $10,%r10 + xorq %rbx,%r9 + rolq $15,%r11 + xorq %rbp,%r12 + rolq $36,%r9 + xorq %rax,%r8 + rolq $56,%r12 + movq %r10,%r13 + orq %r11,%r10 + rolq $27,%r8 + + notq %r11 + xorq %r9,%r10 + movq %r10,28(%rsi) + + movq %r12,%r14 + orq %r11,%r12 + xorq %r13,%r12 + movq %r12,36(%rsi) + + andq %r9,%r13 + xorq %r8,%r13 + movq %r13,20(%rsi) + + orq %r8,%r9 + xorq %r14,%r9 + movq %r9,52(%rsi) + + andq %r14,%r8 + xorq %r11,%r8 + movq %r8,44(%rsi) + + + xorq -84(%rdi),%rdx + xorq -36(%rdi),%rbp + rolq $62,%rdx + xorq 68(%rdi),%rcx + rolq $55,%rbp + xorq 12(%rdi),%rax + rolq $2,%rcx + xorq 20(%rdi),%rbx + xchgq %rsi,%rdi + rolq $39,%rax + rolq $41,%rbx + movq %rdx,%r13 + andq %rbp,%rdx + notq %rbp + xorq %rcx,%rdx + movq %rdx,92(%rdi) + + movq %rax,%r14 + andq %rbp,%rax + xorq %r13,%rax + movq %rax,60(%rdi) + + orq %rcx,%r13 + xorq %rbx,%r13 + movq %r13,84(%rdi) + + andq %rbx,%rcx + xorq %r14,%rcx + movq %rcx,76(%rdi) + + orq %r14,%rbx + xorq %rbp,%rbx + movq %rbx,68(%rdi) + + movq %rdx,%rbp + movq %r13,%rdx + + testq $255,%r15 + jnz L$oop + + leaq -192(%r15),%r15 + .byte 0xf3,0xc3 +.cfi_endproc + + +.globl _crypton_keccak_asm_f1600 + +.p2align 5 +_crypton_keccak_asm_f1600: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbx +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbx,-16 + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-24 + pushq %r12 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r15,-56 + + leaq 100(%rdi),%rdi + subq $200,%rsp +.cfi_adjust_cfa_offset 200 + + + notq -92(%rdi) + notq -84(%rdi) + notq -36(%rdi) + notq -4(%rdi) + notq 36(%rdi) + notq 60(%rdi) + + leaq iotas(%rip),%r15 + leaq 100(%rsp),%rsi + + call __crypton_keccak_asm_f1600 + + notq -92(%rdi) + notq -84(%rdi) + notq -36(%rdi) + notq -4(%rdi) + notq 36(%rdi) + notq 60(%rdi) + leaq -100(%rdi),%rdi + + leaq 248(%rsp),%r11 +.cfi_def_cfa %r11,8 + movq -48(%r11),%r15 + movq -40(%r11),%r14 + movq -32(%r11),%r13 + movq -24(%r11),%r12 + movq -16(%r11),%rbp + movq -8(%r11),%rbx + leaq (%r11),%rsp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbp +.cfi_restore %rbx + .byte 0xf3,0xc3 +.cfi_endproc + +.globl _crypton_keccak_asm_absorb + +.p2align 5 +_crypton_keccak_asm_absorb: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbx +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbx,-16 + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-24 + pushq %r12 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r15,-56 + + leaq 100(%rdi),%rdi + subq $232,%rsp +.cfi_adjust_cfa_offset 232 + + + movq %rsi,%r9 + leaq 100(%rsp),%rsi + + notq -92(%rdi) + notq -84(%rdi) + notq -36(%rdi) + notq -4(%rdi) + notq 36(%rdi) + notq 60(%rdi) + leaq iotas(%rip),%r15 + + movq %rcx,216-100(%rsi) + +L$oop_absorb: + cmpq %rcx,%rdx + jc L$done_absorb + + shrq $3,%rcx + leaq -100(%rdi),%r8 + +L$block_absorb: + movq (%r9),%rax + leaq 8(%r9),%r9 + xorq (%r8),%rax + leaq 8(%r8),%r8 + subq $8,%rdx + movq %rax,-8(%r8) + subq $1,%rcx + jnz L$block_absorb + + movq %r9,200-100(%rsi) + movq %rdx,208-100(%rsi) + call __crypton_keccak_asm_f1600 + movq 200-100(%rsi),%r9 + movq 208-100(%rsi),%rdx + movq 216-100(%rsi),%rcx + jmp L$oop_absorb + +.p2align 5 +L$done_absorb: + movq %rdx,%rax + + notq -92(%rdi) + notq -84(%rdi) + notq -36(%rdi) + notq -4(%rdi) + notq 36(%rdi) + notq 60(%rdi) + + leaq 280(%rsp),%r11 +.cfi_def_cfa %r11,8 + movq -48(%r11),%r15 + movq -40(%r11),%r14 + movq -32(%r11),%r13 + movq -24(%r11),%r12 + movq -16(%r11),%rbp + movq -8(%r11),%rbx + leaq (%r11),%rsp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbp +.cfi_restore %rbx + .byte 0xf3,0xc3 +.cfi_endproc + +.globl _crypton_keccak_asm_squeeze + +.p2align 5 +_crypton_keccak_asm_squeeze: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %r12 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r12,-16 + pushq %r13 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r13,-24 + pushq %r14 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r14,-32 + subq $32,%rsp +.cfi_adjust_cfa_offset 32 + + + shrq $3,%rcx + movq %rdi,%r8 + movq %rsi,%r12 + movq %rdx,%r13 + movq %rcx,%r14 + jmp L$oop_squeeze + +.p2align 5 +L$oop_squeeze: + cmpq $8,%r13 + jb L$tail_squeeze + + movq (%r8),%rax + leaq 8(%r8),%r8 + movq %rax,(%r12) + leaq 8(%r12),%r12 + subq $8,%r13 + jz L$done_squeeze + + subq $1,%rcx + jnz L$oop_squeeze + + movq %rdi,%rcx + call _crypton_keccak_asm_f1600 + movq %rdi,%r8 + movq %r14,%rcx + jmp L$oop_squeeze + +L$tail_squeeze: + movq %r8,%rsi + movq %r12,%rdi + movq %r13,%rcx +.byte 0xf3,0xa4 + +L$done_squeeze: + movq 32(%rsp),%r14 + movq 40(%rsp),%r13 + movq 48(%rsp),%r12 + addq $56,%rsp +.cfi_adjust_cfa_offset -56 +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 + .byte 0xf3,0xc3 +.cfi_endproc + +.p2align 8 +.quad 0,0,0,0,0,0,0,0 + +iotas: +.quad 0x0000000000000001 +.quad 0x0000000000008082 +.quad 0x800000000000808a +.quad 0x8000000080008000 +.quad 0x000000000000808b +.quad 0x0000000080000001 +.quad 0x8000000080008081 +.quad 0x8000000000008009 +.quad 0x000000000000008a +.quad 0x0000000000000088 +.quad 0x0000000080008009 +.quad 0x000000008000000a +.quad 0x000000008000808b +.quad 0x800000000000008b +.quad 0x8000000000008089 +.quad 0x8000000000008003 +.quad 0x8000000000008002 +.quad 0x8000000000000080 +.quad 0x000000000000800a +.quad 0x800000008000000a +.quad 0x8000000080008081 +.quad 0x8000000000008080 +.quad 0x0000000080000001 +.quad 0x8000000080008008 + +.byte 75,101,99,99,97,107,45,49,54,48,48,32,97,98,115,111,114,98,32,97,110,100,32,115,113,117,101,101,122,101,32,102,111,114,32,120,56,54,95,54,52,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,60,97,112,112,114,111,64,111,112,101,110,115,115,108,46,111,114,103,62,0 diff --git a/cbits/asm/keccak1600-x86_64-mingw64.S b/cbits/asm/keccak1600-x86_64-mingw64.S new file mode 100644 --- /dev/null +++ b/cbits/asm/keccak1600-x86_64-mingw64.S @@ -0,0 +1,648 @@ +.text + +.def __crypton_keccak_asm_f1600; .scl 3; .type 32; .endef +.p2align 5 +__crypton_keccak_asm_f1600: + .byte 0xf3,0x0f,0x1e,0xfa + + movq 60(%rdi),%rax + movq 68(%rdi),%rbx + movq 76(%rdi),%rcx + movq 84(%rdi),%rdx + movq 92(%rdi),%rbp + jmp .Loop + +.p2align 5 +.Loop: + movq -100(%rdi),%r8 + movq -52(%rdi),%r9 + movq -4(%rdi),%r10 + movq 44(%rdi),%r11 + + xorq -84(%rdi),%rcx + xorq -76(%rdi),%rdx + xorq %r8,%rax + xorq -92(%rdi),%rbx + xorq -44(%rdi),%rcx + xorq -60(%rdi),%rax + movq %rbp,%r12 + xorq -68(%rdi),%rbp + + xorq %r10,%rcx + xorq -20(%rdi),%rax + xorq -36(%rdi),%rdx + xorq %r9,%rbx + xorq -28(%rdi),%rbp + + xorq 36(%rdi),%rcx + xorq 20(%rdi),%rax + xorq 4(%rdi),%rdx + xorq -12(%rdi),%rbx + xorq 12(%rdi),%rbp + + movq %rcx,%r13 + rolq $1,%rcx + xorq %rax,%rcx + xorq %r11,%rdx + + rolq $1,%rax + xorq %rdx,%rax + xorq 28(%rdi),%rbx + + rolq $1,%rdx + xorq %rbx,%rdx + xorq 52(%rdi),%rbp + + rolq $1,%rbx + xorq %rbp,%rbx + + rolq $1,%rbp + xorq %r13,%rbp + xorq %rcx,%r9 + xorq %rdx,%r10 + rolq $44,%r9 + xorq %rbp,%r11 + xorq %rax,%r12 + rolq $43,%r10 + xorq %rbx,%r8 + movq %r9,%r13 + rolq $21,%r11 + orq %r10,%r9 + xorq %r8,%r9 + rolq $14,%r12 + + xorq (%r15),%r9 + leaq 8(%r15),%r15 + + movq %r12,%r14 + andq %r11,%r12 + movq %r9,-100(%rsi) + xorq %r10,%r12 + notq %r10 + movq %r12,-84(%rsi) + + orq %r11,%r10 + movq 76(%rdi),%r12 + xorq %r13,%r10 + movq %r10,-92(%rsi) + + andq %r8,%r13 + movq -28(%rdi),%r9 + xorq %r14,%r13 + movq -20(%rdi),%r10 + movq %r13,-68(%rsi) + + orq %r8,%r14 + movq -76(%rdi),%r8 + xorq %r11,%r14 + movq 28(%rdi),%r11 + movq %r14,-76(%rsi) + + + xorq %rbp,%r8 + xorq %rdx,%r12 + rolq $28,%r8 + xorq %rcx,%r11 + xorq %rax,%r9 + rolq $61,%r12 + rolq $45,%r11 + xorq %rbx,%r10 + rolq $20,%r9 + movq %r8,%r13 + orq %r12,%r8 + rolq $3,%r10 + + xorq %r11,%r8 + movq %r8,-36(%rsi) + + movq %r9,%r14 + andq %r13,%r9 + movq -92(%rdi),%r8 + xorq %r12,%r9 + notq %r12 + movq %r9,-28(%rsi) + + orq %r11,%r12 + movq -44(%rdi),%r9 + xorq %r10,%r12 + movq %r12,-44(%rsi) + + andq %r10,%r11 + movq 60(%rdi),%r12 + xorq %r14,%r11 + movq %r11,-52(%rsi) + + orq %r10,%r14 + movq 4(%rdi),%r10 + xorq %r13,%r14 + movq 52(%rdi),%r11 + movq %r14,-60(%rsi) + + + xorq %rbp,%r10 + xorq %rax,%r11 + rolq $25,%r10 + xorq %rdx,%r9 + rolq $8,%r11 + xorq %rbx,%r12 + rolq $6,%r9 + xorq %rcx,%r8 + rolq $18,%r12 + movq %r10,%r13 + andq %r11,%r10 + rolq $1,%r8 + + notq %r11 + xorq %r9,%r10 + movq %r10,-12(%rsi) + + movq %r12,%r14 + andq %r11,%r12 + movq -12(%rdi),%r10 + xorq %r13,%r12 + movq %r12,-4(%rsi) + + orq %r9,%r13 + movq 84(%rdi),%r12 + xorq %r8,%r13 + movq %r13,-20(%rsi) + + andq %r8,%r9 + xorq %r14,%r9 + movq %r9,12(%rsi) + + orq %r8,%r14 + movq -60(%rdi),%r9 + xorq %r11,%r14 + movq 36(%rdi),%r11 + movq %r14,4(%rsi) + + + movq -68(%rdi),%r8 + + xorq %rcx,%r10 + xorq %rdx,%r11 + rolq $10,%r10 + xorq %rbx,%r9 + rolq $15,%r11 + xorq %rbp,%r12 + rolq $36,%r9 + xorq %rax,%r8 + rolq $56,%r12 + movq %r10,%r13 + orq %r11,%r10 + rolq $27,%r8 + + notq %r11 + xorq %r9,%r10 + movq %r10,28(%rsi) + + movq %r12,%r14 + orq %r11,%r12 + xorq %r13,%r12 + movq %r12,36(%rsi) + + andq %r9,%r13 + xorq %r8,%r13 + movq %r13,20(%rsi) + + orq %r8,%r9 + xorq %r14,%r9 + movq %r9,52(%rsi) + + andq %r14,%r8 + xorq %r11,%r8 + movq %r8,44(%rsi) + + + xorq -84(%rdi),%rdx + xorq -36(%rdi),%rbp + rolq $62,%rdx + xorq 68(%rdi),%rcx + rolq $55,%rbp + xorq 12(%rdi),%rax + rolq $2,%rcx + xorq 20(%rdi),%rbx + xchgq %rsi,%rdi + rolq $39,%rax + rolq $41,%rbx + movq %rdx,%r13 + andq %rbp,%rdx + notq %rbp + xorq %rcx,%rdx + movq %rdx,92(%rdi) + + movq %rax,%r14 + andq %rbp,%rax + xorq %r13,%rax + movq %rax,60(%rdi) + + orq %rcx,%r13 + xorq %rbx,%r13 + movq %r13,84(%rdi) + + andq %rbx,%rcx + xorq %r14,%rcx + movq %rcx,76(%rdi) + + orq %r14,%rbx + xorq %rbp,%rbx + movq %rbx,68(%rdi) + + movq %rdx,%rbp + movq %r13,%rdx + + testq $255,%r15 + jnz .Loop + + leaq -192(%r15),%r15 + .byte 0xf3,0xc3 + + +.globl crypton_keccak_asm_f1600 +.def crypton_keccak_asm_f1600; .scl 2; .type 32; .endef +.p2align 5 +crypton_keccak_asm_f1600: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%r11 +.LSEH_begin_crypton_keccak_asm_f1600: + + + movq %rcx,%rdi + pushq %rbx + + pushq %rbp + + pushq %r12 + + pushq %r13 + + pushq %r14 + + pushq %r15 + + + leaq 100(%rdi),%rdi + subq $200,%rsp + +.LSEH_body_crypton_keccak_asm_f1600: + + + notq -92(%rdi) + notq -84(%rdi) + notq -36(%rdi) + notq -4(%rdi) + notq 36(%rdi) + notq 60(%rdi) + + leaq iotas(%rip),%r15 + leaq 100(%rsp),%rsi + + call __crypton_keccak_asm_f1600 + + notq -92(%rdi) + notq -84(%rdi) + notq -36(%rdi) + notq -4(%rdi) + notq 36(%rdi) + notq 60(%rdi) + leaq -100(%rdi),%rdi + + leaq 248(%rsp),%r11 + + movq -48(%r11),%r15 + movq -40(%r11),%r14 + movq -32(%r11),%r13 + movq -24(%r11),%r12 + movq -16(%r11),%rbp + movq -8(%r11),%rbx + leaq (%r11),%rsp +.LSEH_epilogue_crypton_keccak_asm_f1600: + mov 8(%r11),%rdi + mov 16(%r11),%rsi + + .byte 0xf3,0xc3 + +.LSEH_end_crypton_keccak_asm_f1600: +.globl crypton_keccak_asm_absorb +.def crypton_keccak_asm_absorb; .scl 2; .type 32; .endef +.p2align 5 +crypton_keccak_asm_absorb: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%r11 +.LSEH_begin_crypton_keccak_asm_absorb: + + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx + movq %r9,%rcx + pushq %rbx + + pushq %rbp + + pushq %r12 + + pushq %r13 + + pushq %r14 + + pushq %r15 + + + leaq 100(%rdi),%rdi + subq $232,%rsp + +.LSEH_body_crypton_keccak_asm_absorb: + + + movq %rsi,%r9 + leaq 100(%rsp),%rsi + + notq -92(%rdi) + notq -84(%rdi) + notq -36(%rdi) + notq -4(%rdi) + notq 36(%rdi) + notq 60(%rdi) + leaq iotas(%rip),%r15 + + movq %rcx,216-100(%rsi) + +.Loop_absorb: + cmpq %rcx,%rdx + jc .Ldone_absorb + + shrq $3,%rcx + leaq -100(%rdi),%r8 + +.Lblock_absorb: + movq (%r9),%rax + leaq 8(%r9),%r9 + xorq (%r8),%rax + leaq 8(%r8),%r8 + subq $8,%rdx + movq %rax,-8(%r8) + subq $1,%rcx + jnz .Lblock_absorb + + movq %r9,200-100(%rsi) + movq %rdx,208-100(%rsi) + call __crypton_keccak_asm_f1600 + movq 200-100(%rsi),%r9 + movq 208-100(%rsi),%rdx + movq 216-100(%rsi),%rcx + jmp .Loop_absorb + +.p2align 5 +.Ldone_absorb: + movq %rdx,%rax + + notq -92(%rdi) + notq -84(%rdi) + notq -36(%rdi) + notq -4(%rdi) + notq 36(%rdi) + notq 60(%rdi) + + leaq 280(%rsp),%r11 + + movq -48(%r11),%r15 + movq -40(%r11),%r14 + movq -32(%r11),%r13 + movq -24(%r11),%r12 + movq -16(%r11),%rbp + movq -8(%r11),%rbx + leaq (%r11),%rsp +.LSEH_epilogue_crypton_keccak_asm_absorb: + mov 8(%r11),%rdi + mov 16(%r11),%rsi + + .byte 0xf3,0xc3 + +.LSEH_end_crypton_keccak_asm_absorb: +.globl crypton_keccak_asm_squeeze +.def crypton_keccak_asm_squeeze; .scl 2; .type 32; .endef +.p2align 5 +crypton_keccak_asm_squeeze: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%r11 +.LSEH_begin_crypton_keccak_asm_squeeze: + + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx + movq %r9,%rcx + pushq %r12 + + pushq %r13 + + pushq %r14 + + subq $32,%rsp + +.LSEH_body_crypton_keccak_asm_squeeze: + + + shrq $3,%rcx + movq %rdi,%r8 + movq %rsi,%r12 + movq %rdx,%r13 + movq %rcx,%r14 + jmp .Loop_squeeze + +.p2align 5 +.Loop_squeeze: + cmpq $8,%r13 + jb .Ltail_squeeze + + movq (%r8),%rax + leaq 8(%r8),%r8 + movq %rax,(%r12) + leaq 8(%r12),%r12 + subq $8,%r13 + jz .Ldone_squeeze + + subq $1,%rcx + jnz .Loop_squeeze + + movq %rdi,%rcx + call crypton_keccak_asm_f1600 + movq %rdi,%r8 + movq %r14,%rcx + jmp .Loop_squeeze + +.Ltail_squeeze: + movq %r8,%rsi + movq %r12,%rdi + movq %r13,%rcx +.byte 0xf3,0xa4 + +.Ldone_squeeze: + movq 32(%rsp),%r14 + movq 40(%rsp),%r13 + movq 48(%rsp),%r12 + addq $56,%rsp + +.LSEH_epilogue_crypton_keccak_asm_squeeze: + mov 8(%rsp),%rdi + mov 16(%rsp),%rsi + + .byte 0xf3,0xc3 + +.LSEH_end_crypton_keccak_asm_squeeze: +.p2align 8 +.quad 0,0,0,0,0,0,0,0 + +iotas: +.quad 0x0000000000000001 +.quad 0x0000000000008082 +.quad 0x800000000000808a +.quad 0x8000000080008000 +.quad 0x000000000000808b +.quad 0x0000000080000001 +.quad 0x8000000080008081 +.quad 0x8000000000008009 +.quad 0x000000000000008a +.quad 0x0000000000000088 +.quad 0x0000000080008009 +.quad 0x000000008000000a +.quad 0x000000008000808b +.quad 0x800000000000008b +.quad 0x8000000000008089 +.quad 0x8000000000008003 +.quad 0x8000000000008002 +.quad 0x8000000000000080 +.quad 0x000000000000800a +.quad 0x800000008000000a +.quad 0x8000000080008081 +.quad 0x8000000000008080 +.quad 0x0000000080000001 +.quad 0x8000000080008008 + +.byte 75,101,99,99,97,107,45,49,54,48,48,32,97,98,115,111,114,98,32,97,110,100,32,115,113,117,101,101,122,101,32,102,111,114,32,120,56,54,95,54,52,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,60,97,112,112,114,111,64,111,112,101,110,115,115,108,46,111,114,103,62,0 +.section .pdata +.p2align 2 +.rva .LSEH_begin_crypton_keccak_asm_f1600 +.rva .LSEH_body_crypton_keccak_asm_f1600 +.rva .LSEH_info_crypton_keccak_asm_f1600_prologue + +.rva .LSEH_body_crypton_keccak_asm_f1600 +.rva .LSEH_epilogue_crypton_keccak_asm_f1600 +.rva .LSEH_info_crypton_keccak_asm_f1600_body + +.rva .LSEH_epilogue_crypton_keccak_asm_f1600 +.rva .LSEH_end_crypton_keccak_asm_f1600 +.rva .LSEH_info_crypton_keccak_asm_f1600_epilogue + +.rva .LSEH_begin_crypton_keccak_asm_absorb +.rva .LSEH_body_crypton_keccak_asm_absorb +.rva .LSEH_info_crypton_keccak_asm_absorb_prologue + +.rva .LSEH_body_crypton_keccak_asm_absorb +.rva .LSEH_epilogue_crypton_keccak_asm_absorb +.rva .LSEH_info_crypton_keccak_asm_absorb_body + +.rva .LSEH_epilogue_crypton_keccak_asm_absorb +.rva .LSEH_end_crypton_keccak_asm_absorb +.rva .LSEH_info_crypton_keccak_asm_absorb_epilogue + +.rva .LSEH_begin_crypton_keccak_asm_squeeze +.rva .LSEH_body_crypton_keccak_asm_squeeze +.rva .LSEH_info_crypton_keccak_asm_squeeze_prologue + +.rva .LSEH_body_crypton_keccak_asm_squeeze +.rva .LSEH_epilogue_crypton_keccak_asm_squeeze +.rva .LSEH_info_crypton_keccak_asm_squeeze_body + +.rva .LSEH_epilogue_crypton_keccak_asm_squeeze +.rva .LSEH_end_crypton_keccak_asm_squeeze +.rva .LSEH_info_crypton_keccak_asm_squeeze_epilogue + +.section .xdata +.p2align 3 +.LSEH_info_crypton_keccak_asm_f1600_prologue: +.byte 1,0,5,0x0b +.byte 0,0x74,1,0 +.byte 0,0x64,2,0 +.byte 0,0xb3 +.byte 0,0 +.long 0,0 +.LSEH_info_crypton_keccak_asm_f1600_body: +.byte 1,0,18,0 +.byte 0x00,0xf4,0x19,0x00 +.byte 0x00,0xe4,0x1a,0x00 +.byte 0x00,0xd4,0x1b,0x00 +.byte 0x00,0xc4,0x1c,0x00 +.byte 0x00,0x54,0x1d,0x00 +.byte 0x00,0x34,0x1e,0x00 +.byte 0x00,0x74,0x20,0x00 +.byte 0x00,0x64,0x21,0x00 +.byte 0x00,0x01,0x1f,0x00 +.byte 0x00,0x00,0x00,0x00 +.byte 0x00,0x00,0x00,0x00 +.LSEH_info_crypton_keccak_asm_f1600_epilogue: +.byte 1,0,5,11 +.byte 0x00,0x74,0x01,0x00 +.byte 0x00,0x64,0x02,0x00 +.byte 0x00,0xb3 +.byte 0x00,0x00,0x00,0x00,0x00,0x00 +.byte 0x00,0x00,0x00,0x00 + +.LSEH_info_crypton_keccak_asm_absorb_prologue: +.byte 1,0,5,0x0b +.byte 0,0x74,1,0 +.byte 0,0x64,2,0 +.byte 0,0xb3 +.byte 0,0 +.long 0,0 +.LSEH_info_crypton_keccak_asm_absorb_body: +.byte 1,0,18,0 +.byte 0x00,0xf4,0x1d,0x00 +.byte 0x00,0xe4,0x1e,0x00 +.byte 0x00,0xd4,0x1f,0x00 +.byte 0x00,0xc4,0x20,0x00 +.byte 0x00,0x54,0x21,0x00 +.byte 0x00,0x34,0x22,0x00 +.byte 0x00,0x74,0x24,0x00 +.byte 0x00,0x64,0x25,0x00 +.byte 0x00,0x01,0x23,0x00 +.byte 0x00,0x00,0x00,0x00 +.byte 0x00,0x00,0x00,0x00 +.LSEH_info_crypton_keccak_asm_absorb_epilogue: +.byte 1,0,5,11 +.byte 0x00,0x74,0x01,0x00 +.byte 0x00,0x64,0x02,0x00 +.byte 0x00,0xb3 +.byte 0x00,0x00,0x00,0x00,0x00,0x00 +.byte 0x00,0x00,0x00,0x00 + +.LSEH_info_crypton_keccak_asm_squeeze_prologue: +.byte 1,0,5,0x0b +.byte 0,0x74,1,0 +.byte 0,0x64,2,0 +.byte 0,0xb3 +.byte 0,0 +.long 0,0 +.LSEH_info_crypton_keccak_asm_squeeze_body: +.byte 1,0,11,0 +.byte 0x00,0xe4,0x04,0x00 +.byte 0x00,0xd4,0x05,0x00 +.byte 0x00,0xc4,0x06,0x00 +.byte 0x00,0x74,0x08,0x00 +.byte 0x00,0x64,0x09,0x00 +.byte 0x00,0x62 +.byte 0x00,0x00,0x00,0x00,0x00,0x00 +.LSEH_info_crypton_keccak_asm_squeeze_epilogue: +.byte 1,0,4,0 +.byte 0x00,0x74,0x01,0x00 +.byte 0x00,0x64,0x02,0x00 +.byte 0x00,0x00,0x00,0x00 + diff --git a/cbits/asm/keccak1600-x86_64.pl b/cbits/asm/keccak1600-x86_64.pl new file mode 100644 --- /dev/null +++ b/cbits/asm/keccak1600-x86_64.pl @@ -0,0 +1,601 @@ +#!/usr/bin/env perl +# +# ==================================================================== +# Written by Andy Polyakov for the OpenSSL +# project. The module is, however, dual licensed under OpenSSL and +# CRYPTOGAMS licenses depending on where you obtain it. For further +# details see http://www.openssl.org/~appro/cryptogams/. +# ==================================================================== +# +# Keccak-1600 for x86_64. +# +# June 2017. +# +# Below code is [lane complementing] KECCAK_2X implementation (see +# sha/keccak1600.c) with C[5] and D[5] held in register bank. Though +# instead of actually unrolling the loop pair-wise I simply flip +# pointers to T[][] and A[][] at the end of round. Since number of +# rounds is even, last round writes to A[][] and everything works out. +# How does it compare to x86_64 assembly module in Keccak Code Package? +# Depending on processor it's either as fast or faster by up to 15%... +# +######################################################################## +# Numbers are cycles per processed byte out of large message. +# +# r=1088(*) +# +# P4 25.8 +# Core 2 12.9 +# Westmere 13.7 +# Sandy Bridge 12.9(**) +# Haswell 9.6 +# Skylake 9.4 +# Ice Lake 8.6 +# Silvermont 22.8 +# Goldmont 15.8 +# VIA Nano 17.3 +# Sledgehammer 13.3 +# Bulldozer 16.5 +# Ryzen 8.8 +# Zen 4 7.6 +# +# (*) Corresponds to SHA3-256. Improvement over compiler-generate +# varies a lot, most commont coefficient is 15% in comparison to +# gcc-5.x, 50% for gcc-4.x, 90% for gcc-3.x. +# (**) Sandy Bridge has broken rotate instruction. Performance can be +# improved by 14% by replacing rotates with double-precision +# shift with same register as source and destination. + +$flavour = shift; +$output = shift; +if ($flavour =~ /\./) { $output = $flavour; undef $flavour; } + +$win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/); + +$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; +( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or +( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or +die "can't locate x86_64-xlate.pl"; + +open OUT,"| \"$^X\" \"$xlate\" $flavour \"$output\""; +*STDOUT=*OUT; + +my @A = map([ 8*$_-100, 8*($_+1)-100, 8*($_+2)-100, + 8*($_+3)-100, 8*($_+4)-100 ], (0,5,10,15,20)); + +my @C = ("%rax","%rbx","%rcx","%rdx","%rbp"); +my @D = map("%r$_",(8..12)); +my @T = map("%r$_",(13..14)); +my $iotas = "%r15"; + +my @rhotates = ([ 0, 1, 62, 28, 27 ], + [ 36, 44, 6, 55, 20 ], + [ 3, 10, 43, 25, 39 ], + [ 41, 45, 15, 21, 8 ], + [ 18, 2, 61, 56, 14 ]); + +$code.=<<___; +.text + +.type __KeccakF1600,\@abi-omnipotent +.align 32 +__KeccakF1600: + mov $A[4][0](%rdi),@C[0] + mov $A[4][1](%rdi),@C[1] + mov $A[4][2](%rdi),@C[2] + mov $A[4][3](%rdi),@C[3] + mov $A[4][4](%rdi),@C[4] + jmp .Loop + +.align 32 +.Loop: + mov $A[0][0](%rdi),@D[0] + mov $A[1][1](%rdi),@D[1] + mov $A[2][2](%rdi),@D[2] + mov $A[3][3](%rdi),@D[3] + + xor $A[0][2](%rdi),@C[2] + xor $A[0][3](%rdi),@C[3] + xor @D[0], @C[0] + xor $A[0][1](%rdi),@C[1] + xor $A[1][2](%rdi),@C[2] + xor $A[1][0](%rdi),@C[0] + mov @C[4],@D[4] + xor $A[0][4](%rdi),@C[4] + + xor @D[2], @C[2] + xor $A[2][0](%rdi),@C[0] + xor $A[1][3](%rdi),@C[3] + xor @D[1], @C[1] + xor $A[1][4](%rdi),@C[4] + + xor $A[3][2](%rdi),@C[2] + xor $A[3][0](%rdi),@C[0] + xor $A[2][3](%rdi),@C[3] + xor $A[2][1](%rdi),@C[1] + xor $A[2][4](%rdi),@C[4] + + mov @C[2],@T[0] + rol \$1,@C[2] + xor @C[0],@C[2] # D[1] = ROL64(C[2], 1) ^ C[0] + xor @D[3], @C[3] + + rol \$1,@C[0] + xor @C[3],@C[0] # D[4] = ROL64(C[0], 1) ^ C[3] + xor $A[3][1](%rdi),@C[1] + + rol \$1,@C[3] + xor @C[1],@C[3] # D[2] = ROL64(C[3], 1) ^ C[1] + xor $A[3][4](%rdi),@C[4] + + rol \$1,@C[1] + xor @C[4],@C[1] # D[0] = ROL64(C[1], 1) ^ C[4] + + rol \$1,@C[4] + xor @T[0],@C[4] # D[3] = ROL64(C[4], 1) ^ C[2] +___ + (@D[0..4], @C) = (@C[1..4,0], @D); +$code.=<<___; + xor @D[1],@C[1] + xor @D[2],@C[2] + rol \$$rhotates[1][1],@C[1] + xor @D[3],@C[3] + xor @D[4],@C[4] + rol \$$rhotates[2][2],@C[2] + xor @D[0],@C[0] + mov @C[1],@T[0] + rol \$$rhotates[3][3],@C[3] + or @C[2],@C[1] + xor @C[0],@C[1] # C[0] ^ ( C[1] | C[2]) + rol \$$rhotates[4][4],@C[4] + + xor ($iotas),@C[1] + lea 8($iotas),$iotas + + mov @C[4],@T[1] + and @C[3],@C[4] + mov @C[1],$A[0][0](%rsi) # R[0][0] = C[0] ^ ( C[1] | C[2]) ^ iotas[i] + xor @C[2],@C[4] # C[2] ^ ( C[4] & C[3]) + not @C[2] + mov @C[4],$A[0][2](%rsi) # R[0][2] = C[2] ^ ( C[4] & C[3]) + + or @C[3],@C[2] + mov $A[4][2](%rdi),@C[4] + xor @T[0],@C[2] # C[1] ^ (~C[2] | C[3]) + mov @C[2],$A[0][1](%rsi) # R[0][1] = C[1] ^ (~C[2] | C[3]) + + and @C[0],@T[0] + mov $A[1][4](%rdi),@C[1] + xor @T[1],@T[0] # C[4] ^ ( C[1] & C[0]) + mov $A[2][0](%rdi),@C[2] + mov @T[0],$A[0][4](%rsi) # R[0][4] = C[4] ^ ( C[1] & C[0]) + + or @C[0],@T[1] + mov $A[0][3](%rdi),@C[0] + xor @C[3],@T[1] # C[3] ^ ( C[4] | C[0]) + mov $A[3][1](%rdi),@C[3] + mov @T[1],$A[0][3](%rsi) # R[0][3] = C[3] ^ ( C[4] | C[0]) + + + xor @D[3],@C[0] + xor @D[2],@C[4] + rol \$$rhotates[0][3],@C[0] + xor @D[1],@C[3] + xor @D[4],@C[1] + rol \$$rhotates[4][2],@C[4] + rol \$$rhotates[3][1],@C[3] + xor @D[0],@C[2] + rol \$$rhotates[1][4],@C[1] + mov @C[0],@T[0] + or @C[4],@C[0] + rol \$$rhotates[2][0],@C[2] + + xor @C[3],@C[0] # C[3] ^ (C[0] | C[4]) + mov @C[0],$A[1][3](%rsi) # R[1][3] = C[3] ^ (C[0] | C[4]) + + mov @C[1],@T[1] + and @T[0],@C[1] + mov $A[0][1](%rdi),@C[0] + xor @C[4],@C[1] # C[4] ^ (C[1] & C[0]) + not @C[4] + mov @C[1],$A[1][4](%rsi) # R[1][4] = C[4] ^ (C[1] & C[0]) + + or @C[3],@C[4] + mov $A[1][2](%rdi),@C[1] + xor @C[2],@C[4] # C[2] ^ (~C[4] | C[3]) + mov @C[4],$A[1][2](%rsi) # R[1][2] = C[2] ^ (~C[4] | C[3]) + + and @C[2],@C[3] + mov $A[4][0](%rdi),@C[4] + xor @T[1],@C[3] # C[1] ^ (C[3] & C[2]) + mov @C[3],$A[1][1](%rsi) # R[1][1] = C[1] ^ (C[3] & C[2]) + + or @C[2],@T[1] + mov $A[2][3](%rdi),@C[2] + xor @T[0],@T[1] # C[0] ^ (C[1] | C[2]) + mov $A[3][4](%rdi),@C[3] + mov @T[1],$A[1][0](%rsi) # R[1][0] = C[0] ^ (C[1] | C[2]) + + + xor @D[3],@C[2] + xor @D[4],@C[3] + rol \$$rhotates[2][3],@C[2] + xor @D[2],@C[1] + rol \$$rhotates[3][4],@C[3] + xor @D[0],@C[4] + rol \$$rhotates[1][2],@C[1] + xor @D[1],@C[0] + rol \$$rhotates[4][0],@C[4] + mov @C[2],@T[0] + and @C[3],@C[2] + rol \$$rhotates[0][1],@C[0] + + not @C[3] + xor @C[1],@C[2] # C[1] ^ ( C[2] & C[3]) + mov @C[2],$A[2][1](%rsi) # R[2][1] = C[1] ^ ( C[2] & C[3]) + + mov @C[4],@T[1] + and @C[3],@C[4] + mov $A[2][1](%rdi),@C[2] + xor @T[0],@C[4] # C[2] ^ ( C[4] & ~C[3]) + mov @C[4],$A[2][2](%rsi) # R[2][2] = C[2] ^ ( C[4] & ~C[3]) + + or @C[1],@T[0] + mov $A[4][3](%rdi),@C[4] + xor @C[0],@T[0] # C[0] ^ ( C[2] | C[1]) + mov @T[0],$A[2][0](%rsi) # R[2][0] = C[0] ^ ( C[2] | C[1]) + + and @C[0],@C[1] + xor @T[1],@C[1] # C[4] ^ ( C[1] & C[0]) + mov @C[1],$A[2][4](%rsi) # R[2][4] = C[4] ^ ( C[1] & C[0]) + + or @C[0],@T[1] + mov $A[1][0](%rdi),@C[1] + xor @C[3],@T[1] # ~C[3] ^ ( C[0] | C[4]) + mov $A[3][2](%rdi),@C[3] + mov @T[1],$A[2][3](%rsi) # R[2][3] = ~C[3] ^ ( C[0] | C[4]) + + + mov $A[0][4](%rdi),@C[0] + + xor @D[1],@C[2] + xor @D[2],@C[3] + rol \$$rhotates[2][1],@C[2] + xor @D[0],@C[1] + rol \$$rhotates[3][2],@C[3] + xor @D[3],@C[4] + rol \$$rhotates[1][0],@C[1] + xor @D[4],@C[0] + rol \$$rhotates[4][3],@C[4] + mov @C[2],@T[0] + or @C[3],@C[2] + rol \$$rhotates[0][4],@C[0] + + not @C[3] + xor @C[1],@C[2] # C[1] ^ ( C[2] | C[3]) + mov @C[2],$A[3][1](%rsi) # R[3][1] = C[1] ^ ( C[2] | C[3]) + + mov @C[4],@T[1] + or @C[3],@C[4] + xor @T[0],@C[4] # C[2] ^ ( C[4] | ~C[3]) + mov @C[4],$A[3][2](%rsi) # R[3][2] = C[2] ^ ( C[4] | ~C[3]) + + and @C[1],@T[0] + xor @C[0],@T[0] # C[0] ^ ( C[2] & C[1]) + mov @T[0],$A[3][0](%rsi) # R[3][0] = C[0] ^ ( C[2] & C[1]) + + or @C[0],@C[1] + xor @T[1],@C[1] # C[4] ^ ( C[1] | C[0]) + mov @C[1],$A[3][4](%rsi) # R[3][4] = C[4] ^ ( C[1] | C[0]) + + and @T[1],@C[0] + xor @C[3],@C[0] # ~C[3] ^ ( C[0] & C[4]) + mov @C[0],$A[3][3](%rsi) # R[3][3] = ~C[3] ^ ( C[0] & C[4]) + + + xor $A[0][2](%rdi),@D[2] + xor $A[1][3](%rdi),@D[3] + rol \$$rhotates[0][2],@D[2] + xor $A[4][1](%rdi),@D[1] + rol \$$rhotates[1][3],@D[3] + xor $A[2][4](%rdi),@D[4] + rol \$$rhotates[4][1],@D[1] + xor $A[3][0](%rdi),@D[0] + xchg %rsi,%rdi + rol \$$rhotates[2][4],@D[4] + rol \$$rhotates[3][0],@D[0] +___ + @C = @D[2..4,0,1]; +$code.=<<___; + mov @C[0],@T[0] + and @C[1],@C[0] + not @C[1] + xor @C[4],@C[0] # C[4] ^ ( C[0] & C[1]) + mov @C[0],$A[4][4](%rdi) # R[4][4] = C[4] ^ ( C[0] & C[1]) + + mov @C[2],@T[1] + and @C[1],@C[2] + xor @T[0],@C[2] # C[0] ^ ( C[2] & ~C[1]) + mov @C[2],$A[4][0](%rdi) # R[4][0] = C[0] ^ ( C[2] & ~C[1]) + + or @C[4],@T[0] + xor @C[3],@T[0] # C[3] ^ ( C[0] | C[4]) + mov @T[0],$A[4][3](%rdi) # R[4][3] = C[3] ^ ( C[0] | C[4]) + + and @C[3],@C[4] + xor @T[1],@C[4] # C[2] ^ ( C[4] & C[3]) + mov @C[4],$A[4][2](%rdi) # R[4][2] = C[2] ^ ( C[4] & C[3]) + + or @T[1],@C[3] + xor @C[1],@C[3] # ~C[1] ^ ( C[2] | C[3]) + mov @C[3],$A[4][1](%rdi) # R[4][1] = ~C[1] ^ ( C[2] | C[3]) + + mov @C[0],@C[1] # harmonize with the loop top + mov @T[0],@C[0] + + test \$255,$iotas + jnz .Loop + + lea -192($iotas),$iotas # rewind iotas + ret +.size __KeccakF1600,.-__KeccakF1600 + +.globl KeccakF1600 +.type KeccakF1600,\@function,1,"unwind" +.align 32 +KeccakF1600: +.cfi_startproc + push %rbx +.cfi_push %rbx + push %rbp +.cfi_push %rbp + push %r12 +.cfi_push %r12 + push %r13 +.cfi_push %r13 + push %r14 +.cfi_push %r14 + push %r15 +.cfi_push %r15 + + lea 100(%rdi),%rdi # size optimization + sub \$200,%rsp +.cfi_alloca 200 +.cfi_end_prologue + + notq $A[0][1](%rdi) + notq $A[0][2](%rdi) + notq $A[1][3](%rdi) + notq $A[2][2](%rdi) + notq $A[3][2](%rdi) + notq $A[4][0](%rdi) + + lea iotas(%rip),$iotas + lea 100(%rsp),%rsi # size optimization + + call __KeccakF1600 + + notq $A[0][1](%rdi) + notq $A[0][2](%rdi) + notq $A[1][3](%rdi) + notq $A[2][2](%rdi) + notq $A[3][2](%rdi) + notq $A[4][0](%rdi) + lea -100(%rdi),%rdi # preserve A[][] + + lea 248(%rsp),%r11 +.cfi_def_cfa %r11,8 + mov -48(%r11),%r15 + mov -40(%r11),%r14 + mov -32(%r11),%r13 + mov -24(%r11),%r12 + mov -16(%r11),%rbp + mov -8(%r11),%rbx + lea (%r11),%rsp +.cfi_epilogue + ret +.cfi_endproc +.size KeccakF1600,.-KeccakF1600 +___ + +{ my ($A_flat,$inp,$len,$bsz) = ("%rdi","%rsi","%rdx","%rcx"); + ($A_flat,$inp) = ("%r8","%r9"); +$code.=<<___; +.globl SHA3_absorb +.type SHA3_absorb,\@function,4,"unwind" +.align 32 +SHA3_absorb: +.cfi_startproc + push %rbx +.cfi_push %rbx + push %rbp +.cfi_push %rbp + push %r12 +.cfi_push %r12 + push %r13 +.cfi_push %r13 + push %r14 +.cfi_push %r14 + push %r15 +.cfi_push %r15 + + lea 100(%rdi),%rdi # size optimization + sub \$232,%rsp +.cfi_alloca 232 +.cfi_end_prologue + + mov %rsi,$inp + lea 100(%rsp),%rsi # size optimization + + notq $A[0][1](%rdi) + notq $A[0][2](%rdi) + notq $A[1][3](%rdi) + notq $A[2][2](%rdi) + notq $A[3][2](%rdi) + notq $A[4][0](%rdi) + lea iotas(%rip),$iotas + + mov $bsz,216-100(%rsi) # save bsz + +.Loop_absorb: + cmp $bsz,$len + jc .Ldone_absorb + + shr \$3,$bsz + lea -100(%rdi),$A_flat + +.Lblock_absorb: + mov ($inp),%rax + lea 8($inp),$inp + xor ($A_flat),%rax + lea 8($A_flat),$A_flat + sub \$8,$len + mov %rax,-8($A_flat) + sub \$1,$bsz + jnz .Lblock_absorb + + mov $inp,200-100(%rsi) # save inp + mov $len,208-100(%rsi) # save len + call __KeccakF1600 + mov 200-100(%rsi),$inp # pull inp + mov 208-100(%rsi),$len # pull len + mov 216-100(%rsi),$bsz # pull bsz + jmp .Loop_absorb + +.align 32 +.Ldone_absorb: + mov $len,%rax # return value + + notq $A[0][1](%rdi) + notq $A[0][2](%rdi) + notq $A[1][3](%rdi) + notq $A[2][2](%rdi) + notq $A[3][2](%rdi) + notq $A[4][0](%rdi) + + lea 280(%rsp),%r11 +.cfi_def_cfa %r11,8 + mov -48(%r11),%r15 + mov -40(%r11),%r14 + mov -32(%r11),%r13 + mov -24(%r11),%r12 + mov -16(%r11),%rbp + mov -8(%r11),%rbx + lea (%r11),%rsp +.cfi_epilogue + ret +.cfi_endproc +.size SHA3_absorb,.-SHA3_absorb +___ +} +{ my ($A_flat,$out,$len,$bsz) = ("%rdi","%rsi","%rdx","%rcx"); + ($out,$len,$bsz) = ("%r12","%r13","%r14"); + +$code.=<<___; +.globl SHA3_squeeze +.type SHA3_squeeze,\@function,4,"unwind" +.align 32 +SHA3_squeeze: +.cfi_startproc + push %r12 +.cfi_push %r12 + push %r13 +.cfi_push %r13 + push %r14 +.cfi_push %r14 + sub \$32,%rsp # Windows thing +.cfi_alloca 32 +.cfi_end_prologue + + shr \$3,%rcx + mov $A_flat,%r8 + mov %rsi,$out + mov %rdx,$len + mov %rcx,$bsz + jmp .Loop_squeeze + +.align 32 +.Loop_squeeze: + cmp \$8,$len + jb .Ltail_squeeze + + mov (%r8),%rax + lea 8(%r8),%r8 + mov %rax,($out) + lea 8($out),$out + sub \$8,$len # len -= 8 + jz .Ldone_squeeze + + sub \$1,%rcx # bsz-- + jnz .Loop_squeeze + + mov %rdi,%rcx # Windows thing + call KeccakF1600 + mov $A_flat,%r8 + mov $bsz,%rcx + jmp .Loop_squeeze + +.Ltail_squeeze: + mov %r8, %rsi + mov $out,%rdi + mov $len,%rcx + .byte 0xf3,0xa4 # rep movsb + +.Ldone_squeeze: + mov 32(%rsp),%r14 + mov 40(%rsp),%r13 + mov 48(%rsp),%r12 + add \$56,%rsp +.cfi_alloca -56 +.cfi_epilogue + ret +.cfi_endproc +.size SHA3_squeeze,.-SHA3_squeeze +___ +} +$code.=<<___; +.align 256 + .quad 0,0,0,0,0,0,0,0 +.type iotas,\@object +iotas: + .quad 0x0000000000000001 + .quad 0x0000000000008082 + .quad 0x800000000000808a + .quad 0x8000000080008000 + .quad 0x000000000000808b + .quad 0x0000000080000001 + .quad 0x8000000080008081 + .quad 0x8000000000008009 + .quad 0x000000000000008a + .quad 0x0000000000000088 + .quad 0x0000000080008009 + .quad 0x000000008000000a + .quad 0x000000008000808b + .quad 0x800000000000008b + .quad 0x8000000000008089 + .quad 0x8000000000008003 + .quad 0x8000000000008002 + .quad 0x8000000000000080 + .quad 0x000000000000800a + .quad 0x800000008000000a + .quad 0x8000000080008081 + .quad 0x8000000000008080 + .quad 0x0000000080000001 + .quad 0x8000000080008008 +.size iotas,.-iotas +.asciz "Keccak-1600 absorb and squeeze for x86_64, CRYPTOGAMS by " +___ + +foreach (split("\n",$code)) { + # Below replacement results in 11.2 on Sandy Bridge, 9.4 on + # Haswell, but it hurts other processors by up to 2-3-4x... + #s/rol\s+(\$[0-9]+),(%[a-z][a-z0-9]+)/shld\t$1,$2,$2/; + + # Below replacement results in 9.3 on Haswell [as well as + # on Ryzen, i.e. it *hurts* Ryzen]... + #s/rol\s+\$([0-9]+),(%[a-z][a-z0-9]+)/rorx\t\$64-$1,$2,$2/; + + print $_, "\n"; +} + +close STDOUT; diff --git a/cbits/asm/poly1305-armv8-ios64.S b/cbits/asm/poly1305-armv8-ios64.S new file mode 100644 --- /dev/null +++ b/cbits/asm/poly1305-armv8-ios64.S @@ -0,0 +1,844 @@ +#ifndef __KERNEL__ +# include "arm_arch.h" + +#endif + +.text + +// forward "declarations" are required for Apple +.globl _crypton_poly1305_asm_blocks +.globl _crypton_poly1305_asm_emit + +.globl _crypton_poly1305_asm_init + +.align 5 +_crypton_poly1305_asm_init: + cmp x1,xzr + stp xzr,xzr,[x0] // zero hash value + stp xzr,xzr,[x0,#16] // [along with is_base2_26] + + csel x0,xzr,x0,eq + b.eq Lno_key + +#ifndef __KERNEL__ + adrp x17,_crypton_armcap_P@PAGE + ldr w17,[x17,_crypton_armcap_P@PAGEOFF] +#endif + + ldp x7,x8,[x1] // load key + mov x9,#0xfffffffc0fffffff + movk x9,#0x0fff,lsl#48 +#ifdef __AARCH64EB__ + rev x7,x7 // flip bytes + rev x8,x8 +#endif + and x7,x7,x9 // &=0ffffffc0fffffff + and x9,x9,#-4 + and x8,x8,x9 // &=0ffffffc0ffffffc + mov w9,#-1 + stp x7,x8,[x0,#32] // save key value + str w9,[x0,#48] // impossible key power value + +#ifndef __KERNEL__ + tst w17,#ARMV7_NEON + + adr x13,Lcrypton_poly1305_asm_blocks + adr x15,Lcrypton_poly1305_asm_blocks_neon + adr x14,Lcrypton_poly1305_asm_emit + + csel x13,x13,x15,eq +# ifdef __CHERI_PURE_CAPABILITY__ + add x13, x13, #1 + add x14, x14, #1 + seal x13, x13, rb + seal x14, x14, rb +# endif + +# ifdef __ILP32__ + stp w13,w14,[x2] +# else + stp x13,x14,[x2] +# endif + mov x0,#1 +#else + mov x0,#0 +#endif +Lno_key: + ret + + + +.align 5 +_crypton_poly1305_asm_blocks: +Lcrypton_poly1305_asm_blocks: + ands x2,x2,#-16 + b.eq Lno_data + + ldp x4,x5,[x0] // load hash value + ldp x6,x17,[x0,#16] // [along with is_base2_26] + ldp x7,x8,[x0,#32] // load key value + +#ifdef __AARCH64EB__ + lsr x12,x4,#32 + mov w13,w4 + lsr x14,x5,#32 + mov w15,w5 + lsr x16,x6,#32 +#else + mov w12,w4 + lsr x13,x4,#32 + mov w14,w5 + lsr x15,x5,#32 + mov w16,w6 +#endif + + add x12,x12,x13,lsl#26 // base 2^26 -> base 2^64 + lsr x13,x14,#12 + adds x12,x12,x14,lsl#52 + add x13,x13,x15,lsl#14 + adc x13,x13,xzr + lsr x14,x16,#24 + adds x13,x13,x16,lsl#40 + adc x14,x14,xzr + + cmp x17,#0 // is_base2_26? + add x9,x8,x8,lsr#2 // s1 = r1 + (r1 >> 2) + csel x4,x4,x12,eq // choose between radixes + csel x5,x5,x13,eq + csel x6,x6,x14,eq + +Loop: + ldp x10,x11,[x1],#16 // load input + sub x2,x2,#16 +#ifdef __AARCH64EB__ + rev x10,x10 + rev x11,x11 +#endif + adds x4,x4,x10 // accumulate input + adcs x5,x5,x11 + + mul x12,x4,x7 // h0*r0 + adc x6,x6,x3 + umulh x13,x4,x7 + + mul x10,x5,x9 // h1*5*r1 + umulh x11,x5,x9 + + adds x12,x12,x10 + mul x10,x4,x8 // h0*r1 + adc x13,x13,x11 + umulh x14,x4,x8 + + adds x13,x13,x10 + mul x10,x5,x7 // h1*r0 + adc x14,x14,xzr + umulh x11,x5,x7 + + adds x13,x13,x10 + mul x10,x6,x9 // h2*5*r1 + adc x14,x14,x11 + mul x11,x6,x7 // h2*r0 + + adds x13,x13,x10 + adc x14,x14,x11 + + and x10,x14,#-4 // final reduction + and x6,x14,#3 + add x10,x10,x14,lsr#2 + adds x4,x12,x10 + adcs x5,x13,xzr + adc x6,x6,xzr + + cbnz x2,Loop + + stp x4,x5,[x0] // store hash value + stp x6,xzr,[x0,#16] // [and clear is_base2_26] + +Lno_data: + ret + + + +.align 5 +_crypton_poly1305_asm_emit: +Lcrypton_poly1305_asm_emit: + ldp x4,x5,[x0] // load hash base 2^64 + ldp x6,x7,[x0,#16] // [along with is_base2_26] + ldp x10,x11,[x2] // load nonce + +#ifdef __AARCH64EB__ + lsr x12,x4,#32 + mov w13,w4 + lsr x14,x5,#32 + mov w15,w5 + lsr x16,x6,#32 +#else + mov w12,w4 + lsr x13,x4,#32 + mov w14,w5 + lsr x15,x5,#32 + mov w16,w6 +#endif + + add x12,x12,x13,lsl#26 // base 2^26 -> base 2^64 + lsr x13,x14,#12 + adds x12,x12,x14,lsl#52 + add x13,x13,x15,lsl#14 + adc x13,x13,xzr + lsr x14,x16,#24 + adds x13,x13,x16,lsl#40 + adc x14,x14,xzr + + cmp x7,#0 // is_base2_26? + csel x4,x4,x12,eq // choose between radixes + csel x5,x5,x13,eq + csel x6,x6,x14,eq + + adds x12,x4,#5 // compare to modulus + adcs x13,x5,xzr + adc x14,x6,xzr + + tst x14,#-4 // see if it's carried/borrowed + + csel x4,x4,x12,eq + csel x5,x5,x13,eq + +#ifdef __AARCH64EB__ + ror x10,x10,#32 // flip nonce words + ror x11,x11,#32 +#endif + adds x4,x4,x10 // accumulate nonce + adc x5,x5,x11 +#ifdef __AARCH64EB__ + rev x4,x4 // flip output bytes + rev x5,x5 +#endif + stp x4,x5,[x1] // write result + + ret + + +.align 5 +crypton_poly1305_asm_mult: + mul x12,x4,x7 // h0*r0 + umulh x13,x4,x7 + + mul x10,x5,x9 // h1*5*r1 + umulh x11,x5,x9 + + adds x12,x12,x10 + mul x10,x4,x8 // h0*r1 + adc x13,x13,x11 + umulh x14,x4,x8 + + adds x13,x13,x10 + mul x10,x5,x7 // h1*r0 + adc x14,x14,xzr + umulh x11,x5,x7 + + adds x13,x13,x10 + mul x10,x6,x9 // h2*5*r1 + adc x14,x14,x11 + mul x11,x6,x7 // h2*r0 + + adds x13,x13,x10 + adc x14,x14,x11 + + and x10,x14,#-4 // final reduction + and x6,x14,#3 + add x10,x10,x14,lsr#2 + adds x4,x12,x10 + adcs x5,x13,xzr + adc x6,x6,xzr + + ret + + + +.align 4 +crypton_poly1305_asm_splat: + and x12,x4,#0x03ffffff // base 2^64 -> base 2^26 + ubfx x13,x4,#26,#26 + extr x14,x5,x4,#52 + and x14,x14,#0x03ffffff + ubfx x15,x5,#14,#26 + extr x16,x6,x5,#40 + + str w12,[x0,#16*0] // r0 + add w12,w13,w13,lsl#2 // r1*5 + str w13,[x0,#16*1] // r1 + add w13,w14,w14,lsl#2 // r2*5 + str w12,[x0,#16*2] // s1 + str w14,[x0,#16*3] // r2 + add w14,w15,w15,lsl#2 // r3*5 + str w13,[x0,#16*4] // s2 + str w15,[x0,#16*5] // r3 + add w15,w16,w16,lsl#2 // r4*5 + str w14,[x0,#16*6] // s3 + str w16,[x0,#16*7] // r4 + str w15,[x0,#16*8] // s4 + + ret + + +#ifdef __KERNEL__ +.globl _crypton_poly1305_asm_blocks_neon +#endif + +.align 5 +_crypton_poly1305_asm_blocks_neon: +Lcrypton_poly1305_asm_blocks_neon: + ldr x17,[x0,#24] + cmp x2,#128 + b.lo Lcrypton_poly1305_asm_blocks + +.long 0xd503233f // paciasp + stp x29,x30,[sp,#-2*__SIZEOF_POINTER__-64]! + add x29,sp,#0 + + stp d8,d9,[sp,#2*__SIZEOF_POINTER__+0] // meet ABI requirements + stp d10,d11,[sp,#2*__SIZEOF_POINTER__+16] + stp d12,d13,[sp,#2*__SIZEOF_POINTER__+32] + stp d14,d15,[sp,#2*__SIZEOF_POINTER__+48] + + cbz x17,Lbase2_64_neon + + ldp w10,w11,[x0] // load hash value base 2^26 + ldp w12,w13,[x0,#8] + ldr w14,[x0,#16] + + tst x2,#31 + b.eq Leven_neon + + ldp x7,x8,[x0,#32] // load key value + + add x4,x10,x11,lsl#26 // base 2^26 -> base 2^64 + lsr x5,x12,#12 + adds x4,x4,x12,lsl#52 + add x5,x5,x13,lsl#14 + adc x5,x5,xzr + lsr x6,x14,#24 + adds x5,x5,x14,lsl#40 + adc x14,x6,xzr // can be partially reduced... + + ldp x12,x13,[x1],#16 // load input + sub x2,x2,#16 + add x9,x8,x8,lsr#2 // s1 = r1 + (r1 >> 2) + +#ifdef __AARCH64EB__ + rev x12,x12 + rev x13,x13 +#endif + adds x4,x4,x12 // accumulate input + adcs x5,x5,x13 + adc x6,x6,x3 + + bl crypton_poly1305_asm_mult + + and x10,x4,#0x03ffffff // base 2^64 -> base 2^26 + ubfx x11,x4,#26,#26 + extr x12,x5,x4,#52 + and x12,x12,#0x03ffffff + ubfx x13,x5,#14,#26 + extr x14,x6,x5,#40 + + b Leven_neon + +.align 4 +Lbase2_64_neon: + ldp x7,x8,[x0,#32] // load key value + + ldp x4,x5,[x0] // load hash value base 2^64 + ldr x6,[x0,#16] + + tst x2,#31 + b.eq Linit_neon + + ldp x12,x13,[x1],#16 // load input + sub x2,x2,#16 + add x9,x8,x8,lsr#2 // s1 = r1 + (r1 >> 2) +#ifdef __AARCH64EB__ + rev x12,x12 + rev x13,x13 +#endif + adds x4,x4,x12 // accumulate input + adcs x5,x5,x13 + adc x6,x6,x3 + + bl crypton_poly1305_asm_mult + +Linit_neon: + ldr w17,[x0,#48] // first table element + and x10,x4,#0x03ffffff // base 2^64 -> base 2^26 + ubfx x11,x4,#26,#26 + extr x12,x5,x4,#52 + and x12,x12,#0x03ffffff + ubfx x13,x5,#14,#26 + extr x14,x6,x5,#40 + + cmp w17,#-1 // is value impossible? + b.ne Leven_neon + + fmov d24,x10 + fmov d25,x11 + fmov d26,x12 + fmov d27,x13 + fmov d28,x14 + + ////////////////////////////////// initialize r^n table + mov x4,x7 // r^1 + add x9,x8,x8,lsr#2 // s1 = r1 + (r1 >> 2) + mov x5,x8 + mov x6,xzr + add x0,x0,#48+12 + bl crypton_poly1305_asm_splat + + bl crypton_poly1305_asm_mult // r^2 + sub x0,x0,#4 + bl crypton_poly1305_asm_splat + + bl crypton_poly1305_asm_mult // r^3 + sub x0,x0,#4 + bl crypton_poly1305_asm_splat + + bl crypton_poly1305_asm_mult // r^4 + sub x0,x0,#4 + bl crypton_poly1305_asm_splat + sub x0,x0,#48 + b Ldo_neon + +.align 4 +Leven_neon: + fmov d24,x10 + fmov d25,x11 + fmov d26,x12 + fmov d27,x13 + fmov d28,x14 + +Ldo_neon: + ldp x8,x12,[x1,#32] // inp[2:3] + subs x2,x2,#64 + ldp x9,x13,[x1,#48] + add x16,x1,#96 + adr x17,Lzeros + + lsl x3,x3,#24 + add x15,x0,#48 + +#ifdef __AARCH64EB__ + rev x8,x8 + rev x12,x12 + rev x9,x9 + rev x13,x13 +#endif + and x4,x8,#0x03ffffff // base 2^64 -> base 2^26 + and x5,x9,#0x03ffffff + ubfx x6,x8,#26,#26 + ubfx x7,x9,#26,#26 + add x4,x4,x5,lsl#32 // bfi x4,x5,#32,#32 + extr x8,x12,x8,#52 + extr x9,x13,x9,#52 + add x6,x6,x7,lsl#32 // bfi x6,x7,#32,#32 + fmov d14,x4 + and x8,x8,#0x03ffffff + and x9,x9,#0x03ffffff + ubfx x10,x12,#14,#26 + ubfx x11,x13,#14,#26 + add x12,x3,x12,lsr#40 + add x13,x3,x13,lsr#40 + add x8,x8,x9,lsl#32 // bfi x8,x9,#32,#32 + fmov d15,x6 + add x10,x10,x11,lsl#32 // bfi x10,x11,#32,#32 + add x12,x12,x13,lsl#32 // bfi x12,x13,#32,#32 + fmov d16,x8 + fmov d17,x10 + fmov d18,x12 + + ldp x8,x12,[x1],#16 // inp[0:1] + ldp x9,x13,[x1],#48 + + ld1 {v0.4s,v1.4s,v2.4s,v3.4s},[x15],#64 + ld1 {v4.4s,v5.4s,v6.4s,v7.4s},[x15],#64 + ld1 {v8.4s},[x15] + +#ifdef __AARCH64EB__ + rev x8,x8 + rev x12,x12 + rev x9,x9 + rev x13,x13 +#endif + and x4,x8,#0x03ffffff // base 2^64 -> base 2^26 + and x5,x9,#0x03ffffff + ubfx x6,x8,#26,#26 + ubfx x7,x9,#26,#26 + add x4,x4,x5,lsl#32 // bfi x4,x5,#32,#32 + extr x8,x12,x8,#52 + extr x9,x13,x9,#52 + add x6,x6,x7,lsl#32 // bfi x6,x7,#32,#32 + fmov d9,x4 + and x8,x8,#0x03ffffff + and x9,x9,#0x03ffffff + ubfx x10,x12,#14,#26 + ubfx x11,x13,#14,#26 + add x12,x3,x12,lsr#40 + add x13,x3,x13,lsr#40 + add x8,x8,x9,lsl#32 // bfi x8,x9,#32,#32 + fmov d10,x6 + add x10,x10,x11,lsl#32 // bfi x10,x11,#32,#32 + add x12,x12,x13,lsl#32 // bfi x12,x13,#32,#32 + movi v31.2d,#-1 + fmov d11,x8 + fmov d12,x10 + fmov d13,x12 + ushr v31.2d,v31.2d,#38 + + b.ls Lskip_loop + +.align 4 +Loop_neon: + //////////////////////////////////////////////////////////////// + // ((inp[0]*r^4+inp[2]*r^2+inp[4])*r^4+inp[6]*r^2 + // ((inp[1]*r^4+inp[3]*r^2+inp[5])*r^3+inp[7]*r + // ___________________/ + // ((inp[0]*r^4+inp[2]*r^2+inp[4])*r^4+inp[6]*r^2+inp[8])*r^2 + // ((inp[1]*r^4+inp[3]*r^2+inp[5])*r^4+inp[7]*r^2+inp[9])*r + // ___________________/ ____________________/ + // + // Note that we start with inp[2:3]*r^2. This is because it + // doesn't depend on reduction in previous iteration. + //////////////////////////////////////////////////////////////// + // d4 = h0*r4 + h1*r3 + h2*r2 + h3*r1 + h4*r0 + // d3 = h0*r3 + h1*r2 + h2*r1 + h3*r0 + h4*5*r4 + // d2 = h0*r2 + h1*r1 + h2*r0 + h3*5*r4 + h4*5*r3 + // d1 = h0*r1 + h1*r0 + h2*5*r4 + h3*5*r3 + h4*5*r2 + // d0 = h0*r0 + h1*5*r4 + h2*5*r3 + h3*5*r2 + h4*5*r1 + + subs x2,x2,#64 + umull v23.2d,v14.2s,v7.s[2] + csel x16,x17,x16,lo + umull v22.2d,v14.2s,v5.s[2] + umull v21.2d,v14.2s,v3.s[2] + ldp x8,x12,[x16],#16 // inp[2:3] (or zero) + umull v20.2d,v14.2s,v1.s[2] + ldp x9,x13,[x16],#48 + umull v19.2d,v14.2s,v0.s[2] +#ifdef __AARCH64EB__ + rev x8,x8 + rev x12,x12 + rev x9,x9 + rev x13,x13 +#endif + + umlal v23.2d,v15.2s,v5.s[2] + and x4,x8,#0x03ffffff // base 2^64 -> base 2^26 + umlal v22.2d,v15.2s,v3.s[2] + and x5,x9,#0x03ffffff + umlal v21.2d,v15.2s,v1.s[2] + ubfx x6,x8,#26,#26 + umlal v20.2d,v15.2s,v0.s[2] + ubfx x7,x9,#26,#26 + umlal v19.2d,v15.2s,v8.s[2] + add x4,x4,x5,lsl#32 // bfi x4,x5,#32,#32 + + umlal v23.2d,v16.2s,v3.s[2] + extr x8,x12,x8,#52 + umlal v22.2d,v16.2s,v1.s[2] + extr x9,x13,x9,#52 + umlal v21.2d,v16.2s,v0.s[2] + add x6,x6,x7,lsl#32 // bfi x6,x7,#32,#32 + umlal v20.2d,v16.2s,v8.s[2] + fmov d14,x4 + umlal v19.2d,v16.2s,v6.s[2] + and x8,x8,#0x03ffffff + + umlal v23.2d,v17.2s,v1.s[2] + and x9,x9,#0x03ffffff + umlal v22.2d,v17.2s,v0.s[2] + ubfx x10,x12,#14,#26 + umlal v21.2d,v17.2s,v8.s[2] + ubfx x11,x13,#14,#26 + umlal v20.2d,v17.2s,v6.s[2] + add x8,x8,x9,lsl#32 // bfi x8,x9,#32,#32 + umlal v19.2d,v17.2s,v4.s[2] + fmov d15,x6 + + add v11.2s,v11.2s,v26.2s + add x12,x3,x12,lsr#40 + umlal v23.2d,v18.2s,v0.s[2] + add x13,x3,x13,lsr#40 + umlal v22.2d,v18.2s,v8.s[2] + add x10,x10,x11,lsl#32 // bfi x10,x11,#32,#32 + umlal v21.2d,v18.2s,v6.s[2] + add x12,x12,x13,lsl#32 // bfi x12,x13,#32,#32 + umlal v20.2d,v18.2s,v4.s[2] + fmov d16,x8 + umlal v19.2d,v18.2s,v2.s[2] + fmov d17,x10 + + //////////////////////////////////////////////////////////////// + // (hash+inp[0:1])*r^4 and accumulate + + add v9.2s,v9.2s,v24.2s + fmov d18,x12 + umlal v22.2d,v11.2s,v1.s[0] + ldp x8,x12,[x1],#16 // inp[0:1] + umlal v19.2d,v11.2s,v6.s[0] + ldp x9,x13,[x1],#48 + umlal v23.2d,v11.2s,v3.s[0] + umlal v20.2d,v11.2s,v8.s[0] + umlal v21.2d,v11.2s,v0.s[0] +#ifdef __AARCH64EB__ + rev x8,x8 + rev x12,x12 + rev x9,x9 + rev x13,x13 +#endif + + add v10.2s,v10.2s,v25.2s + umlal v22.2d,v9.2s,v5.s[0] + umlal v23.2d,v9.2s,v7.s[0] + and x4,x8,#0x03ffffff // base 2^64 -> base 2^26 + umlal v21.2d,v9.2s,v3.s[0] + and x5,x9,#0x03ffffff + umlal v19.2d,v9.2s,v0.s[0] + ubfx x6,x8,#26,#26 + umlal v20.2d,v9.2s,v1.s[0] + ubfx x7,x9,#26,#26 + + add v12.2s,v12.2s,v27.2s + add x4,x4,x5,lsl#32 // bfi x4,x5,#32,#32 + umlal v22.2d,v10.2s,v3.s[0] + extr x8,x12,x8,#52 + umlal v23.2d,v10.2s,v5.s[0] + extr x9,x13,x9,#52 + umlal v19.2d,v10.2s,v8.s[0] + add x6,x6,x7,lsl#32 // bfi x6,x7,#32,#32 + umlal v21.2d,v10.2s,v1.s[0] + fmov d9,x4 + umlal v20.2d,v10.2s,v0.s[0] + and x8,x8,#0x03ffffff + + add v13.2s,v13.2s,v28.2s + and x9,x9,#0x03ffffff + umlal v22.2d,v12.2s,v0.s[0] + ubfx x10,x12,#14,#26 + umlal v19.2d,v12.2s,v4.s[0] + ubfx x11,x13,#14,#26 + umlal v23.2d,v12.2s,v1.s[0] + add x8,x8,x9,lsl#32 // bfi x8,x9,#32,#32 + umlal v20.2d,v12.2s,v6.s[0] + fmov d10,x6 + umlal v21.2d,v12.2s,v8.s[0] + add x12,x3,x12,lsr#40 + + umlal v22.2d,v13.2s,v8.s[0] + add x13,x3,x13,lsr#40 + umlal v19.2d,v13.2s,v2.s[0] + add x10,x10,x11,lsl#32 // bfi x10,x11,#32,#32 + umlal v23.2d,v13.2s,v0.s[0] + add x12,x12,x13,lsl#32 // bfi x12,x13,#32,#32 + umlal v20.2d,v13.2s,v4.s[0] + fmov d11,x8 + umlal v21.2d,v13.2s,v6.s[0] + fmov d12,x10 + fmov d13,x12 + + ///////////////////////////////////////////////////////////////// + // lazy reduction as discussed in "NEON crypto" by D.J. Bernstein + // and P. Schwabe + // + // [see discussion in poly1305-armv4 module] + + ushr v29.2d,v22.2d,#26 + xtn v27.2s,v22.2d + ushr v30.2d,v19.2d,#26 + and v19.16b,v19.16b,v31.16b + add v23.2d,v23.2d,v29.2d // h3 -> h4 + bic v27.2s,#0xfc,lsl#24 // &=0x03ffffff + add v20.2d,v20.2d,v30.2d // h0 -> h1 + + ushr v29.2d,v23.2d,#26 + xtn v28.2s,v23.2d + ushr v30.2d,v20.2d,#26 + xtn v25.2s,v20.2d + bic v28.2s,#0xfc,lsl#24 + add v21.2d,v21.2d,v30.2d // h1 -> h2 + + add v19.2d,v19.2d,v29.2d + shl v29.2d,v29.2d,#2 + shrn v30.2s,v21.2d,#26 + xtn v26.2s,v21.2d + add v19.2d,v19.2d,v29.2d // h4 -> h0 + bic v25.2s,#0xfc,lsl#24 + add v27.2s,v27.2s,v30.2s // h2 -> h3 + bic v26.2s,#0xfc,lsl#24 + + shrn v29.2s,v19.2d,#26 + xtn v24.2s,v19.2d + ushr v30.2s,v27.2s,#26 + bic v27.2s,#0xfc,lsl#24 + bic v24.2s,#0xfc,lsl#24 + add v25.2s,v25.2s,v29.2s // h0 -> h1 + add v28.2s,v28.2s,v30.2s // h3 -> h4 + + b.hi Loop_neon + +Lskip_loop: + dup v16.2d,v16.d[0] + add v11.2s,v11.2s,v26.2s + + //////////////////////////////////////////////////////////////// + // multiply (inp[0:1]+hash) or inp[2:3] by r^2:r^1 + + adds x2,x2,#32 + b.ne Long_tail + + dup v16.2d,v11.d[0] + add v14.2s,v9.2s,v24.2s + add v17.2s,v12.2s,v27.2s + add v15.2s,v10.2s,v25.2s + add v18.2s,v13.2s,v28.2s + +Long_tail: + dup v14.2d,v14.d[0] + umull2 v19.2d,v16.4s,v6.4s + umull2 v22.2d,v16.4s,v1.4s + umull2 v23.2d,v16.4s,v3.4s + umull2 v21.2d,v16.4s,v0.4s + umull2 v20.2d,v16.4s,v8.4s + + dup v15.2d,v15.d[0] + umlal2 v19.2d,v14.4s,v0.4s + umlal2 v21.2d,v14.4s,v3.4s + umlal2 v22.2d,v14.4s,v5.4s + umlal2 v23.2d,v14.4s,v7.4s + umlal2 v20.2d,v14.4s,v1.4s + + dup v17.2d,v17.d[0] + umlal2 v19.2d,v15.4s,v8.4s + umlal2 v22.2d,v15.4s,v3.4s + umlal2 v21.2d,v15.4s,v1.4s + umlal2 v23.2d,v15.4s,v5.4s + umlal2 v20.2d,v15.4s,v0.4s + + dup v18.2d,v18.d[0] + umlal2 v22.2d,v17.4s,v0.4s + umlal2 v23.2d,v17.4s,v1.4s + umlal2 v19.2d,v17.4s,v4.4s + umlal2 v20.2d,v17.4s,v6.4s + umlal2 v21.2d,v17.4s,v8.4s + + umlal2 v22.2d,v18.4s,v8.4s + umlal2 v19.2d,v18.4s,v2.4s + umlal2 v23.2d,v18.4s,v0.4s + umlal2 v20.2d,v18.4s,v4.4s + umlal2 v21.2d,v18.4s,v6.4s + + b.eq Lshort_tail + + //////////////////////////////////////////////////////////////// + // (hash+inp[0:1])*r^4:r^3 and accumulate + + add v9.2s,v9.2s,v24.2s + umlal v22.2d,v11.2s,v1.2s + umlal v19.2d,v11.2s,v6.2s + umlal v23.2d,v11.2s,v3.2s + umlal v20.2d,v11.2s,v8.2s + umlal v21.2d,v11.2s,v0.2s + + add v10.2s,v10.2s,v25.2s + umlal v22.2d,v9.2s,v5.2s + umlal v19.2d,v9.2s,v0.2s + umlal v23.2d,v9.2s,v7.2s + umlal v20.2d,v9.2s,v1.2s + umlal v21.2d,v9.2s,v3.2s + + add v12.2s,v12.2s,v27.2s + umlal v22.2d,v10.2s,v3.2s + umlal v19.2d,v10.2s,v8.2s + umlal v23.2d,v10.2s,v5.2s + umlal v20.2d,v10.2s,v0.2s + umlal v21.2d,v10.2s,v1.2s + + add v13.2s,v13.2s,v28.2s + umlal v22.2d,v12.2s,v0.2s + umlal v19.2d,v12.2s,v4.2s + umlal v23.2d,v12.2s,v1.2s + umlal v20.2d,v12.2s,v6.2s + umlal v21.2d,v12.2s,v8.2s + + umlal v22.2d,v13.2s,v8.2s + umlal v19.2d,v13.2s,v2.2s + umlal v23.2d,v13.2s,v0.2s + umlal v20.2d,v13.2s,v4.2s + umlal v21.2d,v13.2s,v6.2s + +Lshort_tail: + //////////////////////////////////////////////////////////////// + // horizontal add + + addp v22.2d,v22.2d,v22.2d + ldp d8,d9,[sp,#2*__SIZEOF_POINTER__+0] // meet ABI requirements + addp v19.2d,v19.2d,v19.2d + ldp d10,d11,[sp,#2*__SIZEOF_POINTER__+16] + addp v23.2d,v23.2d,v23.2d + ldp d12,d13,[sp,#2*__SIZEOF_POINTER__+32] + addp v20.2d,v20.2d,v20.2d + ldp d14,d15,[sp,#2*__SIZEOF_POINTER__+48] + addp v21.2d,v21.2d,v21.2d + ldr x30,[sp,#__SIZEOF_POINTER__] + + //////////////////////////////////////////////////////////////// + // lazy reduction, but without narrowing + + ushr v29.2d,v22.2d,#26 + and v22.16b,v22.16b,v31.16b + ushr v30.2d,v19.2d,#26 + and v19.16b,v19.16b,v31.16b + + add v23.2d,v23.2d,v29.2d // h3 -> h4 + add v20.2d,v20.2d,v30.2d // h0 -> h1 + + ushr v29.2d,v23.2d,#26 + and v23.16b,v23.16b,v31.16b + ushr v30.2d,v20.2d,#26 + and v20.16b,v20.16b,v31.16b + add v21.2d,v21.2d,v30.2d // h1 -> h2 + + add v19.2d,v19.2d,v29.2d + shl v29.2d,v29.2d,#2 + ushr v30.2d,v21.2d,#26 + and v21.16b,v21.16b,v31.16b + add v19.2d,v19.2d,v29.2d // h4 -> h0 + add v22.2d,v22.2d,v30.2d // h2 -> h3 + + ushr v29.2d,v19.2d,#26 + and v19.16b,v19.16b,v31.16b + ushr v30.2d,v22.2d,#26 + and v22.16b,v22.16b,v31.16b + add v20.2d,v20.2d,v29.2d // h0 -> h1 + add v23.2d,v23.2d,v30.2d // h3 -> h4 + + //////////////////////////////////////////////////////////////// + // write the result, can be partially reduced + + st4 {v19.s,v20.s,v21.s,v22.s}[0],[x0],#16 + mov x4,#1 + st1 {v23.s}[0],[x0] + str x4,[x0,#8] // set is_base2_26 + + ldr x29,[sp],#2*__SIZEOF_POINTER__+64 +.long 0xd50323bf // autiasp + ret + + +.align 5 +Lzeros: +.long 0,0,0,0,0,0,0,0 +.byte 80,111,108,121,49,51,48,53,32,102,111,114,32,65,82,77,118,56,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.align 2 +.align 2 +#if !defined(__KERNEL__) && !defined(_WIN64) +.comm __crypton_armcap_P,4 +.private_extern _crypton_armcap_P +#endif diff --git a/cbits/asm/poly1305-armv8-linux64.S b/cbits/asm/poly1305-armv8-linux64.S new file mode 100644 --- /dev/null +++ b/cbits/asm/poly1305-armv8-linux64.S @@ -0,0 +1,846 @@ +#ifndef __KERNEL__ +# include "arm_arch.h" + +#endif + +.text + +// forward "declarations" are required for Apple +.globl crypton_poly1305_asm_blocks +.globl crypton_poly1305_asm_emit + +.globl crypton_poly1305_asm_init +.type crypton_poly1305_asm_init,%function +.align 5 +crypton_poly1305_asm_init: + cmp x1,xzr + stp xzr,xzr,[x0] // zero hash value + stp xzr,xzr,[x0,#16] // [along with is_base2_26] + + csel x0,xzr,x0,eq + b.eq .Lno_key + +#ifndef __KERNEL__ + adrp x17,crypton_armcap_P + ldr w17,[x17,#:lo12:crypton_armcap_P] +#endif + + ldp x7,x8,[x1] // load key + mov x9,#0xfffffffc0fffffff + movk x9,#0x0fff,lsl#48 +#ifdef __AARCH64EB__ + rev x7,x7 // flip bytes + rev x8,x8 +#endif + and x7,x7,x9 // &=0ffffffc0fffffff + and x9,x9,#-4 + and x8,x8,x9 // &=0ffffffc0ffffffc + mov w9,#-1 + stp x7,x8,[x0,#32] // save key value + str w9,[x0,#48] // impossible key power value + +#ifndef __KERNEL__ + tst w17,#ARMV7_NEON + + adr x13,.Lcrypton_poly1305_asm_blocks + adr x15,.Lcrypton_poly1305_asm_blocks_neon + adr x14,.Lcrypton_poly1305_asm_emit + + csel x13,x13,x15,eq +# ifdef __CHERI_PURE_CAPABILITY__ + add x13, x13, #1 + add x14, x14, #1 + seal x13, x13, rb + seal x14, x14, rb +# endif + +# ifdef __ILP32__ + stp w13,w14,[x2] +# else + stp x13,x14,[x2] +# endif + mov x0,#1 +#else + mov x0,#0 +#endif +.Lno_key: + ret +.size crypton_poly1305_asm_init,.-crypton_poly1305_asm_init + +.type crypton_poly1305_asm_blocks,%function +.align 5 +crypton_poly1305_asm_blocks: +.Lcrypton_poly1305_asm_blocks: + ands x2,x2,#-16 + b.eq .Lno_data + + ldp x4,x5,[x0] // load hash value + ldp x6,x17,[x0,#16] // [along with is_base2_26] + ldp x7,x8,[x0,#32] // load key value + +#ifdef __AARCH64EB__ + lsr x12,x4,#32 + mov w13,w4 + lsr x14,x5,#32 + mov w15,w5 + lsr x16,x6,#32 +#else + mov w12,w4 + lsr x13,x4,#32 + mov w14,w5 + lsr x15,x5,#32 + mov w16,w6 +#endif + + add x12,x12,x13,lsl#26 // base 2^26 -> base 2^64 + lsr x13,x14,#12 + adds x12,x12,x14,lsl#52 + add x13,x13,x15,lsl#14 + adc x13,x13,xzr + lsr x14,x16,#24 + adds x13,x13,x16,lsl#40 + adc x14,x14,xzr + + cmp x17,#0 // is_base2_26? + add x9,x8,x8,lsr#2 // s1 = r1 + (r1 >> 2) + csel x4,x4,x12,eq // choose between radixes + csel x5,x5,x13,eq + csel x6,x6,x14,eq + +.Loop: + ldp x10,x11,[x1],#16 // load input + sub x2,x2,#16 +#ifdef __AARCH64EB__ + rev x10,x10 + rev x11,x11 +#endif + adds x4,x4,x10 // accumulate input + adcs x5,x5,x11 + + mul x12,x4,x7 // h0*r0 + adc x6,x6,x3 + umulh x13,x4,x7 + + mul x10,x5,x9 // h1*5*r1 + umulh x11,x5,x9 + + adds x12,x12,x10 + mul x10,x4,x8 // h0*r1 + adc x13,x13,x11 + umulh x14,x4,x8 + + adds x13,x13,x10 + mul x10,x5,x7 // h1*r0 + adc x14,x14,xzr + umulh x11,x5,x7 + + adds x13,x13,x10 + mul x10,x6,x9 // h2*5*r1 + adc x14,x14,x11 + mul x11,x6,x7 // h2*r0 + + adds x13,x13,x10 + adc x14,x14,x11 + + and x10,x14,#-4 // final reduction + and x6,x14,#3 + add x10,x10,x14,lsr#2 + adds x4,x12,x10 + adcs x5,x13,xzr + adc x6,x6,xzr + + cbnz x2,.Loop + + stp x4,x5,[x0] // store hash value + stp x6,xzr,[x0,#16] // [and clear is_base2_26] + +.Lno_data: + ret +.size crypton_poly1305_asm_blocks,.-crypton_poly1305_asm_blocks + +.type crypton_poly1305_asm_emit,%function +.align 5 +crypton_poly1305_asm_emit: +.Lcrypton_poly1305_asm_emit: + ldp x4,x5,[x0] // load hash base 2^64 + ldp x6,x7,[x0,#16] // [along with is_base2_26] + ldp x10,x11,[x2] // load nonce + +#ifdef __AARCH64EB__ + lsr x12,x4,#32 + mov w13,w4 + lsr x14,x5,#32 + mov w15,w5 + lsr x16,x6,#32 +#else + mov w12,w4 + lsr x13,x4,#32 + mov w14,w5 + lsr x15,x5,#32 + mov w16,w6 +#endif + + add x12,x12,x13,lsl#26 // base 2^26 -> base 2^64 + lsr x13,x14,#12 + adds x12,x12,x14,lsl#52 + add x13,x13,x15,lsl#14 + adc x13,x13,xzr + lsr x14,x16,#24 + adds x13,x13,x16,lsl#40 + adc x14,x14,xzr + + cmp x7,#0 // is_base2_26? + csel x4,x4,x12,eq // choose between radixes + csel x5,x5,x13,eq + csel x6,x6,x14,eq + + adds x12,x4,#5 // compare to modulus + adcs x13,x5,xzr + adc x14,x6,xzr + + tst x14,#-4 // see if it's carried/borrowed + + csel x4,x4,x12,eq + csel x5,x5,x13,eq + +#ifdef __AARCH64EB__ + ror x10,x10,#32 // flip nonce words + ror x11,x11,#32 +#endif + adds x4,x4,x10 // accumulate nonce + adc x5,x5,x11 +#ifdef __AARCH64EB__ + rev x4,x4 // flip output bytes + rev x5,x5 +#endif + stp x4,x5,[x1] // write result + + ret +.size crypton_poly1305_asm_emit,.-crypton_poly1305_asm_emit +.type crypton_poly1305_asm_mult,%function +.align 5 +crypton_poly1305_asm_mult: + mul x12,x4,x7 // h0*r0 + umulh x13,x4,x7 + + mul x10,x5,x9 // h1*5*r1 + umulh x11,x5,x9 + + adds x12,x12,x10 + mul x10,x4,x8 // h0*r1 + adc x13,x13,x11 + umulh x14,x4,x8 + + adds x13,x13,x10 + mul x10,x5,x7 // h1*r0 + adc x14,x14,xzr + umulh x11,x5,x7 + + adds x13,x13,x10 + mul x10,x6,x9 // h2*5*r1 + adc x14,x14,x11 + mul x11,x6,x7 // h2*r0 + + adds x13,x13,x10 + adc x14,x14,x11 + + and x10,x14,#-4 // final reduction + and x6,x14,#3 + add x10,x10,x14,lsr#2 + adds x4,x12,x10 + adcs x5,x13,xzr + adc x6,x6,xzr + + ret +.size crypton_poly1305_asm_mult,.-crypton_poly1305_asm_mult + +.type crypton_poly1305_asm_splat,%function +.align 4 +crypton_poly1305_asm_splat: + and x12,x4,#0x03ffffff // base 2^64 -> base 2^26 + ubfx x13,x4,#26,#26 + extr x14,x5,x4,#52 + and x14,x14,#0x03ffffff + ubfx x15,x5,#14,#26 + extr x16,x6,x5,#40 + + str w12,[x0,#16*0] // r0 + add w12,w13,w13,lsl#2 // r1*5 + str w13,[x0,#16*1] // r1 + add w13,w14,w14,lsl#2 // r2*5 + str w12,[x0,#16*2] // s1 + str w14,[x0,#16*3] // r2 + add w14,w15,w15,lsl#2 // r3*5 + str w13,[x0,#16*4] // s2 + str w15,[x0,#16*5] // r3 + add w15,w16,w16,lsl#2 // r4*5 + str w14,[x0,#16*6] // s3 + str w16,[x0,#16*7] // r4 + str w15,[x0,#16*8] // s4 + + ret +.size crypton_poly1305_asm_splat,.-crypton_poly1305_asm_splat + +#ifdef __KERNEL__ +.globl crypton_poly1305_asm_blocks_neon +#endif +.type crypton_poly1305_asm_blocks_neon,%function +.align 5 +crypton_poly1305_asm_blocks_neon: +.Lcrypton_poly1305_asm_blocks_neon: + ldr x17,[x0,#24] + cmp x2,#128 + b.lo .Lcrypton_poly1305_asm_blocks + +.inst 0xd503233f // paciasp + stp x29,x30,[sp,#-2*__SIZEOF_POINTER__-64]! + add x29,sp,#0 + + stp d8,d9,[sp,#2*__SIZEOF_POINTER__+0] // meet ABI requirements + stp d10,d11,[sp,#2*__SIZEOF_POINTER__+16] + stp d12,d13,[sp,#2*__SIZEOF_POINTER__+32] + stp d14,d15,[sp,#2*__SIZEOF_POINTER__+48] + + cbz x17,.Lbase2_64_neon + + ldp w10,w11,[x0] // load hash value base 2^26 + ldp w12,w13,[x0,#8] + ldr w14,[x0,#16] + + tst x2,#31 + b.eq .Leven_neon + + ldp x7,x8,[x0,#32] // load key value + + add x4,x10,x11,lsl#26 // base 2^26 -> base 2^64 + lsr x5,x12,#12 + adds x4,x4,x12,lsl#52 + add x5,x5,x13,lsl#14 + adc x5,x5,xzr + lsr x6,x14,#24 + adds x5,x5,x14,lsl#40 + adc x14,x6,xzr // can be partially reduced... + + ldp x12,x13,[x1],#16 // load input + sub x2,x2,#16 + add x9,x8,x8,lsr#2 // s1 = r1 + (r1 >> 2) + +#ifdef __AARCH64EB__ + rev x12,x12 + rev x13,x13 +#endif + adds x4,x4,x12 // accumulate input + adcs x5,x5,x13 + adc x6,x6,x3 + + bl crypton_poly1305_asm_mult + + and x10,x4,#0x03ffffff // base 2^64 -> base 2^26 + ubfx x11,x4,#26,#26 + extr x12,x5,x4,#52 + and x12,x12,#0x03ffffff + ubfx x13,x5,#14,#26 + extr x14,x6,x5,#40 + + b .Leven_neon + +.align 4 +.Lbase2_64_neon: + ldp x7,x8,[x0,#32] // load key value + + ldp x4,x5,[x0] // load hash value base 2^64 + ldr x6,[x0,#16] + + tst x2,#31 + b.eq .Linit_neon + + ldp x12,x13,[x1],#16 // load input + sub x2,x2,#16 + add x9,x8,x8,lsr#2 // s1 = r1 + (r1 >> 2) +#ifdef __AARCH64EB__ + rev x12,x12 + rev x13,x13 +#endif + adds x4,x4,x12 // accumulate input + adcs x5,x5,x13 + adc x6,x6,x3 + + bl crypton_poly1305_asm_mult + +.Linit_neon: + ldr w17,[x0,#48] // first table element + and x10,x4,#0x03ffffff // base 2^64 -> base 2^26 + ubfx x11,x4,#26,#26 + extr x12,x5,x4,#52 + and x12,x12,#0x03ffffff + ubfx x13,x5,#14,#26 + extr x14,x6,x5,#40 + + cmp w17,#-1 // is value impossible? + b.ne .Leven_neon + + fmov d24,x10 + fmov d25,x11 + fmov d26,x12 + fmov d27,x13 + fmov d28,x14 + + ////////////////////////////////// initialize r^n table + mov x4,x7 // r^1 + add x9,x8,x8,lsr#2 // s1 = r1 + (r1 >> 2) + mov x5,x8 + mov x6,xzr + add x0,x0,#48+12 + bl crypton_poly1305_asm_splat + + bl crypton_poly1305_asm_mult // r^2 + sub x0,x0,#4 + bl crypton_poly1305_asm_splat + + bl crypton_poly1305_asm_mult // r^3 + sub x0,x0,#4 + bl crypton_poly1305_asm_splat + + bl crypton_poly1305_asm_mult // r^4 + sub x0,x0,#4 + bl crypton_poly1305_asm_splat + sub x0,x0,#48 + b .Ldo_neon + +.align 4 +.Leven_neon: + fmov d24,x10 + fmov d25,x11 + fmov d26,x12 + fmov d27,x13 + fmov d28,x14 + +.Ldo_neon: + ldp x8,x12,[x1,#32] // inp[2:3] + subs x2,x2,#64 + ldp x9,x13,[x1,#48] + add x16,x1,#96 + adr x17,.Lzeros + + lsl x3,x3,#24 + add x15,x0,#48 + +#ifdef __AARCH64EB__ + rev x8,x8 + rev x12,x12 + rev x9,x9 + rev x13,x13 +#endif + and x4,x8,#0x03ffffff // base 2^64 -> base 2^26 + and x5,x9,#0x03ffffff + ubfx x6,x8,#26,#26 + ubfx x7,x9,#26,#26 + add x4,x4,x5,lsl#32 // bfi x4,x5,#32,#32 + extr x8,x12,x8,#52 + extr x9,x13,x9,#52 + add x6,x6,x7,lsl#32 // bfi x6,x7,#32,#32 + fmov d14,x4 + and x8,x8,#0x03ffffff + and x9,x9,#0x03ffffff + ubfx x10,x12,#14,#26 + ubfx x11,x13,#14,#26 + add x12,x3,x12,lsr#40 + add x13,x3,x13,lsr#40 + add x8,x8,x9,lsl#32 // bfi x8,x9,#32,#32 + fmov d15,x6 + add x10,x10,x11,lsl#32 // bfi x10,x11,#32,#32 + add x12,x12,x13,lsl#32 // bfi x12,x13,#32,#32 + fmov d16,x8 + fmov d17,x10 + fmov d18,x12 + + ldp x8,x12,[x1],#16 // inp[0:1] + ldp x9,x13,[x1],#48 + + ld1 {v0.4s,v1.4s,v2.4s,v3.4s},[x15],#64 + ld1 {v4.4s,v5.4s,v6.4s,v7.4s},[x15],#64 + ld1 {v8.4s},[x15] + +#ifdef __AARCH64EB__ + rev x8,x8 + rev x12,x12 + rev x9,x9 + rev x13,x13 +#endif + and x4,x8,#0x03ffffff // base 2^64 -> base 2^26 + and x5,x9,#0x03ffffff + ubfx x6,x8,#26,#26 + ubfx x7,x9,#26,#26 + add x4,x4,x5,lsl#32 // bfi x4,x5,#32,#32 + extr x8,x12,x8,#52 + extr x9,x13,x9,#52 + add x6,x6,x7,lsl#32 // bfi x6,x7,#32,#32 + fmov d9,x4 + and x8,x8,#0x03ffffff + and x9,x9,#0x03ffffff + ubfx x10,x12,#14,#26 + ubfx x11,x13,#14,#26 + add x12,x3,x12,lsr#40 + add x13,x3,x13,lsr#40 + add x8,x8,x9,lsl#32 // bfi x8,x9,#32,#32 + fmov d10,x6 + add x10,x10,x11,lsl#32 // bfi x10,x11,#32,#32 + add x12,x12,x13,lsl#32 // bfi x12,x13,#32,#32 + movi v31.2d,#-1 + fmov d11,x8 + fmov d12,x10 + fmov d13,x12 + ushr v31.2d,v31.2d,#38 + + b.ls .Lskip_loop + +.align 4 +.Loop_neon: + //////////////////////////////////////////////////////////////// + // ((inp[0]*r^4+inp[2]*r^2+inp[4])*r^4+inp[6]*r^2 + // ((inp[1]*r^4+inp[3]*r^2+inp[5])*r^3+inp[7]*r + // ___________________/ + // ((inp[0]*r^4+inp[2]*r^2+inp[4])*r^4+inp[6]*r^2+inp[8])*r^2 + // ((inp[1]*r^4+inp[3]*r^2+inp[5])*r^4+inp[7]*r^2+inp[9])*r + // ___________________/ ____________________/ + // + // Note that we start with inp[2:3]*r^2. This is because it + // doesn't depend on reduction in previous iteration. + //////////////////////////////////////////////////////////////// + // d4 = h0*r4 + h1*r3 + h2*r2 + h3*r1 + h4*r0 + // d3 = h0*r3 + h1*r2 + h2*r1 + h3*r0 + h4*5*r4 + // d2 = h0*r2 + h1*r1 + h2*r0 + h3*5*r4 + h4*5*r3 + // d1 = h0*r1 + h1*r0 + h2*5*r4 + h3*5*r3 + h4*5*r2 + // d0 = h0*r0 + h1*5*r4 + h2*5*r3 + h3*5*r2 + h4*5*r1 + + subs x2,x2,#64 + umull v23.2d,v14.2s,v7.s[2] + csel x16,x17,x16,lo + umull v22.2d,v14.2s,v5.s[2] + umull v21.2d,v14.2s,v3.s[2] + ldp x8,x12,[x16],#16 // inp[2:3] (or zero) + umull v20.2d,v14.2s,v1.s[2] + ldp x9,x13,[x16],#48 + umull v19.2d,v14.2s,v0.s[2] +#ifdef __AARCH64EB__ + rev x8,x8 + rev x12,x12 + rev x9,x9 + rev x13,x13 +#endif + + umlal v23.2d,v15.2s,v5.s[2] + and x4,x8,#0x03ffffff // base 2^64 -> base 2^26 + umlal v22.2d,v15.2s,v3.s[2] + and x5,x9,#0x03ffffff + umlal v21.2d,v15.2s,v1.s[2] + ubfx x6,x8,#26,#26 + umlal v20.2d,v15.2s,v0.s[2] + ubfx x7,x9,#26,#26 + umlal v19.2d,v15.2s,v8.s[2] + add x4,x4,x5,lsl#32 // bfi x4,x5,#32,#32 + + umlal v23.2d,v16.2s,v3.s[2] + extr x8,x12,x8,#52 + umlal v22.2d,v16.2s,v1.s[2] + extr x9,x13,x9,#52 + umlal v21.2d,v16.2s,v0.s[2] + add x6,x6,x7,lsl#32 // bfi x6,x7,#32,#32 + umlal v20.2d,v16.2s,v8.s[2] + fmov d14,x4 + umlal v19.2d,v16.2s,v6.s[2] + and x8,x8,#0x03ffffff + + umlal v23.2d,v17.2s,v1.s[2] + and x9,x9,#0x03ffffff + umlal v22.2d,v17.2s,v0.s[2] + ubfx x10,x12,#14,#26 + umlal v21.2d,v17.2s,v8.s[2] + ubfx x11,x13,#14,#26 + umlal v20.2d,v17.2s,v6.s[2] + add x8,x8,x9,lsl#32 // bfi x8,x9,#32,#32 + umlal v19.2d,v17.2s,v4.s[2] + fmov d15,x6 + + add v11.2s,v11.2s,v26.2s + add x12,x3,x12,lsr#40 + umlal v23.2d,v18.2s,v0.s[2] + add x13,x3,x13,lsr#40 + umlal v22.2d,v18.2s,v8.s[2] + add x10,x10,x11,lsl#32 // bfi x10,x11,#32,#32 + umlal v21.2d,v18.2s,v6.s[2] + add x12,x12,x13,lsl#32 // bfi x12,x13,#32,#32 + umlal v20.2d,v18.2s,v4.s[2] + fmov d16,x8 + umlal v19.2d,v18.2s,v2.s[2] + fmov d17,x10 + + //////////////////////////////////////////////////////////////// + // (hash+inp[0:1])*r^4 and accumulate + + add v9.2s,v9.2s,v24.2s + fmov d18,x12 + umlal v22.2d,v11.2s,v1.s[0] + ldp x8,x12,[x1],#16 // inp[0:1] + umlal v19.2d,v11.2s,v6.s[0] + ldp x9,x13,[x1],#48 + umlal v23.2d,v11.2s,v3.s[0] + umlal v20.2d,v11.2s,v8.s[0] + umlal v21.2d,v11.2s,v0.s[0] +#ifdef __AARCH64EB__ + rev x8,x8 + rev x12,x12 + rev x9,x9 + rev x13,x13 +#endif + + add v10.2s,v10.2s,v25.2s + umlal v22.2d,v9.2s,v5.s[0] + umlal v23.2d,v9.2s,v7.s[0] + and x4,x8,#0x03ffffff // base 2^64 -> base 2^26 + umlal v21.2d,v9.2s,v3.s[0] + and x5,x9,#0x03ffffff + umlal v19.2d,v9.2s,v0.s[0] + ubfx x6,x8,#26,#26 + umlal v20.2d,v9.2s,v1.s[0] + ubfx x7,x9,#26,#26 + + add v12.2s,v12.2s,v27.2s + add x4,x4,x5,lsl#32 // bfi x4,x5,#32,#32 + umlal v22.2d,v10.2s,v3.s[0] + extr x8,x12,x8,#52 + umlal v23.2d,v10.2s,v5.s[0] + extr x9,x13,x9,#52 + umlal v19.2d,v10.2s,v8.s[0] + add x6,x6,x7,lsl#32 // bfi x6,x7,#32,#32 + umlal v21.2d,v10.2s,v1.s[0] + fmov d9,x4 + umlal v20.2d,v10.2s,v0.s[0] + and x8,x8,#0x03ffffff + + add v13.2s,v13.2s,v28.2s + and x9,x9,#0x03ffffff + umlal v22.2d,v12.2s,v0.s[0] + ubfx x10,x12,#14,#26 + umlal v19.2d,v12.2s,v4.s[0] + ubfx x11,x13,#14,#26 + umlal v23.2d,v12.2s,v1.s[0] + add x8,x8,x9,lsl#32 // bfi x8,x9,#32,#32 + umlal v20.2d,v12.2s,v6.s[0] + fmov d10,x6 + umlal v21.2d,v12.2s,v8.s[0] + add x12,x3,x12,lsr#40 + + umlal v22.2d,v13.2s,v8.s[0] + add x13,x3,x13,lsr#40 + umlal v19.2d,v13.2s,v2.s[0] + add x10,x10,x11,lsl#32 // bfi x10,x11,#32,#32 + umlal v23.2d,v13.2s,v0.s[0] + add x12,x12,x13,lsl#32 // bfi x12,x13,#32,#32 + umlal v20.2d,v13.2s,v4.s[0] + fmov d11,x8 + umlal v21.2d,v13.2s,v6.s[0] + fmov d12,x10 + fmov d13,x12 + + ///////////////////////////////////////////////////////////////// + // lazy reduction as discussed in "NEON crypto" by D.J. Bernstein + // and P. Schwabe + // + // [see discussion in poly1305-armv4 module] + + ushr v29.2d,v22.2d,#26 + xtn v27.2s,v22.2d + ushr v30.2d,v19.2d,#26 + and v19.16b,v19.16b,v31.16b + add v23.2d,v23.2d,v29.2d // h3 -> h4 + bic v27.2s,#0xfc,lsl#24 // &=0x03ffffff + add v20.2d,v20.2d,v30.2d // h0 -> h1 + + ushr v29.2d,v23.2d,#26 + xtn v28.2s,v23.2d + ushr v30.2d,v20.2d,#26 + xtn v25.2s,v20.2d + bic v28.2s,#0xfc,lsl#24 + add v21.2d,v21.2d,v30.2d // h1 -> h2 + + add v19.2d,v19.2d,v29.2d + shl v29.2d,v29.2d,#2 + shrn v30.2s,v21.2d,#26 + xtn v26.2s,v21.2d + add v19.2d,v19.2d,v29.2d // h4 -> h0 + bic v25.2s,#0xfc,lsl#24 + add v27.2s,v27.2s,v30.2s // h2 -> h3 + bic v26.2s,#0xfc,lsl#24 + + shrn v29.2s,v19.2d,#26 + xtn v24.2s,v19.2d + ushr v30.2s,v27.2s,#26 + bic v27.2s,#0xfc,lsl#24 + bic v24.2s,#0xfc,lsl#24 + add v25.2s,v25.2s,v29.2s // h0 -> h1 + add v28.2s,v28.2s,v30.2s // h3 -> h4 + + b.hi .Loop_neon + +.Lskip_loop: + dup v16.2d,v16.d[0] + add v11.2s,v11.2s,v26.2s + + //////////////////////////////////////////////////////////////// + // multiply (inp[0:1]+hash) or inp[2:3] by r^2:r^1 + + adds x2,x2,#32 + b.ne .Long_tail + + dup v16.2d,v11.d[0] + add v14.2s,v9.2s,v24.2s + add v17.2s,v12.2s,v27.2s + add v15.2s,v10.2s,v25.2s + add v18.2s,v13.2s,v28.2s + +.Long_tail: + dup v14.2d,v14.d[0] + umull2 v19.2d,v16.4s,v6.4s + umull2 v22.2d,v16.4s,v1.4s + umull2 v23.2d,v16.4s,v3.4s + umull2 v21.2d,v16.4s,v0.4s + umull2 v20.2d,v16.4s,v8.4s + + dup v15.2d,v15.d[0] + umlal2 v19.2d,v14.4s,v0.4s + umlal2 v21.2d,v14.4s,v3.4s + umlal2 v22.2d,v14.4s,v5.4s + umlal2 v23.2d,v14.4s,v7.4s + umlal2 v20.2d,v14.4s,v1.4s + + dup v17.2d,v17.d[0] + umlal2 v19.2d,v15.4s,v8.4s + umlal2 v22.2d,v15.4s,v3.4s + umlal2 v21.2d,v15.4s,v1.4s + umlal2 v23.2d,v15.4s,v5.4s + umlal2 v20.2d,v15.4s,v0.4s + + dup v18.2d,v18.d[0] + umlal2 v22.2d,v17.4s,v0.4s + umlal2 v23.2d,v17.4s,v1.4s + umlal2 v19.2d,v17.4s,v4.4s + umlal2 v20.2d,v17.4s,v6.4s + umlal2 v21.2d,v17.4s,v8.4s + + umlal2 v22.2d,v18.4s,v8.4s + umlal2 v19.2d,v18.4s,v2.4s + umlal2 v23.2d,v18.4s,v0.4s + umlal2 v20.2d,v18.4s,v4.4s + umlal2 v21.2d,v18.4s,v6.4s + + b.eq .Lshort_tail + + //////////////////////////////////////////////////////////////// + // (hash+inp[0:1])*r^4:r^3 and accumulate + + add v9.2s,v9.2s,v24.2s + umlal v22.2d,v11.2s,v1.2s + umlal v19.2d,v11.2s,v6.2s + umlal v23.2d,v11.2s,v3.2s + umlal v20.2d,v11.2s,v8.2s + umlal v21.2d,v11.2s,v0.2s + + add v10.2s,v10.2s,v25.2s + umlal v22.2d,v9.2s,v5.2s + umlal v19.2d,v9.2s,v0.2s + umlal v23.2d,v9.2s,v7.2s + umlal v20.2d,v9.2s,v1.2s + umlal v21.2d,v9.2s,v3.2s + + add v12.2s,v12.2s,v27.2s + umlal v22.2d,v10.2s,v3.2s + umlal v19.2d,v10.2s,v8.2s + umlal v23.2d,v10.2s,v5.2s + umlal v20.2d,v10.2s,v0.2s + umlal v21.2d,v10.2s,v1.2s + + add v13.2s,v13.2s,v28.2s + umlal v22.2d,v12.2s,v0.2s + umlal v19.2d,v12.2s,v4.2s + umlal v23.2d,v12.2s,v1.2s + umlal v20.2d,v12.2s,v6.2s + umlal v21.2d,v12.2s,v8.2s + + umlal v22.2d,v13.2s,v8.2s + umlal v19.2d,v13.2s,v2.2s + umlal v23.2d,v13.2s,v0.2s + umlal v20.2d,v13.2s,v4.2s + umlal v21.2d,v13.2s,v6.2s + +.Lshort_tail: + //////////////////////////////////////////////////////////////// + // horizontal add + + addp v22.2d,v22.2d,v22.2d + ldp d8,d9,[sp,#2*__SIZEOF_POINTER__+0] // meet ABI requirements + addp v19.2d,v19.2d,v19.2d + ldp d10,d11,[sp,#2*__SIZEOF_POINTER__+16] + addp v23.2d,v23.2d,v23.2d + ldp d12,d13,[sp,#2*__SIZEOF_POINTER__+32] + addp v20.2d,v20.2d,v20.2d + ldp d14,d15,[sp,#2*__SIZEOF_POINTER__+48] + addp v21.2d,v21.2d,v21.2d + ldr x30,[sp,#__SIZEOF_POINTER__] + + //////////////////////////////////////////////////////////////// + // lazy reduction, but without narrowing + + ushr v29.2d,v22.2d,#26 + and v22.16b,v22.16b,v31.16b + ushr v30.2d,v19.2d,#26 + and v19.16b,v19.16b,v31.16b + + add v23.2d,v23.2d,v29.2d // h3 -> h4 + add v20.2d,v20.2d,v30.2d // h0 -> h1 + + ushr v29.2d,v23.2d,#26 + and v23.16b,v23.16b,v31.16b + ushr v30.2d,v20.2d,#26 + and v20.16b,v20.16b,v31.16b + add v21.2d,v21.2d,v30.2d // h1 -> h2 + + add v19.2d,v19.2d,v29.2d + shl v29.2d,v29.2d,#2 + ushr v30.2d,v21.2d,#26 + and v21.16b,v21.16b,v31.16b + add v19.2d,v19.2d,v29.2d // h4 -> h0 + add v22.2d,v22.2d,v30.2d // h2 -> h3 + + ushr v29.2d,v19.2d,#26 + and v19.16b,v19.16b,v31.16b + ushr v30.2d,v22.2d,#26 + and v22.16b,v22.16b,v31.16b + add v20.2d,v20.2d,v29.2d // h0 -> h1 + add v23.2d,v23.2d,v30.2d // h3 -> h4 + + //////////////////////////////////////////////////////////////// + // write the result, can be partially reduced + + st4 {v19.s,v20.s,v21.s,v22.s}[0],[x0],#16 + mov x4,#1 + st1 {v23.s}[0],[x0] + str x4,[x0,#8] // set is_base2_26 + + ldr x29,[sp],#2*__SIZEOF_POINTER__+64 +.inst 0xd50323bf // autiasp + ret +.size crypton_poly1305_asm_blocks_neon,.-crypton_poly1305_asm_blocks_neon + +.align 5 +.Lzeros: +.long 0,0,0,0,0,0,0,0 +.byte 80,111,108,121,49,51,48,53,32,102,111,114,32,65,82,77,118,56,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.align 2 +.align 2 +#if !defined(__KERNEL__) && !defined(_WIN64) +.comm crypton_armcap_P,4,4 +.hidden crypton_armcap_P +#endif + +.section .note.GNU-stack,"",%progbits diff --git a/cbits/asm/poly1305-armv8.pl b/cbits/asm/poly1305-armv8.pl new file mode 100644 --- /dev/null +++ b/cbits/asm/poly1305-armv8.pl @@ -0,0 +1,927 @@ +#!/usr/bin/env perl +# SPDX-License-Identifier: GPL-1.0+ OR BSD-3-Clause +# +# ==================================================================== +# Written by Andy Polyakov, @dot-asm, initially for the OpenSSL +# project. +# ==================================================================== +# +# This module implements Poly1305 hash for ARMv8. +# +# June 2015 +# +# Numbers are cycles per processed byte with poly1305_blocks alone. +# +# IALU/gcc-4.9 NEON +# +# Apple A7 1.86/+5% 0.72 +# Apple A10 0.71 +# Apple A14/M1 0.97/+63% 0.48 +# Cortex-A53 2.69/+58% 1.47 +# Cortex-A57 2.70/+7% 1.14 +# Cortex-A76 2.60 1.00 +# Cortex-X2 1.00 0.66 +# Cortex-X925 1.00 0.53 +# Denver 1.64/+50% 1.18(*) +# X-Gene 2.13/+68% 2.27 +# Mongoose 1.77/+75% 1.12 +# Kryo 2.70/+55% 1.13 +# ThunderX2 1.17/+95% 1.36 +# Snapdragon X 0.95 0.48 +# +# (*) estimate based on resources availability is less than 1.0, +# i.e. measured result is worse than expected, presumably binary +# translator is not almighty; + +$flavour=shift; +$output=shift; + +if ($flavour && $flavour ne "void") { + $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; + ( $xlate="${dir}arm-xlate.pl" and -f $xlate ) or + ( $xlate="${dir}../../perlasm/arm-xlate.pl" and -f $xlate) or + die "can't locate arm-xlate.pl"; + + open STDOUT,"| \"$^X\" $xlate $flavour $output"; +} else { + open STDOUT,">$output"; +} + +my ($ctx,$inp,$len,$padbit) = map("x$_",(0..3)); +my ($mac,$nonce)=($inp,$len); + +my ($h0,$h1,$h2,$r0,$r1,$s1,$t0,$t1,$d0,$d1,$d2) = map("x$_",(4..14)); + +$code.=<<___; +#ifndef __KERNEL__ +# include "arm_arch.h" +.extern OPENSSL_armcap_P +#endif + +.text + +// forward "declarations" are required for Apple +.globl poly1305_blocks +.globl poly1305_emit + +.globl poly1305_init +.type poly1305_init,%function +.align 5 +poly1305_init: + cmp $inp,xzr + stp xzr,xzr,[$ctx] // zero hash value + stp xzr,xzr,[$ctx,#16] // [along with is_base2_26] + + csel c0,czr,c0,eq + b.eq .Lno_key + +#ifndef __KERNEL__ + adrp c17,OPENSSL_armcap_P + ldr w17,[c17,#:lo12:OPENSSL_armcap_P] +#endif + + ldp $r0,$r1,[$inp] // load key + mov $s1,#0xfffffffc0fffffff + movk $s1,#0x0fff,lsl#48 +#ifdef __AARCH64EB__ + rev $r0,$r0 // flip bytes + rev $r1,$r1 +#endif + and $r0,$r0,$s1 // &=0ffffffc0fffffff + and $s1,$s1,#-4 + and $r1,$r1,$s1 // &=0ffffffc0ffffffc + mov w#$s1,#-1 + stp $r0,$r1,[$ctx,#32] // save key value + str w#$s1,[$ctx,#48] // impossible key power value + +#ifndef __KERNEL__ + tst w17,#ARMV7_NEON + + adr c13,.Lpoly1305_blocks + adr c15,.Lpoly1305_blocks_neon + adr c14,.Lpoly1305_emit + + csel c13,c13,c15,eq +# ifdef __CHERI_PURE_CAPABILITY__ + add c13, c13, #1 + add c14, c14, #1 + seal c13, c13, rb + seal c14, c14, rb +# endif + +# ifdef __ILP32__ + stp w13,w14,[$len] +# else + stp c13,c14,[$len] +# endif + mov x0,#1 +#else + mov x0,#0 +#endif +.Lno_key: + ret +.size poly1305_init,.-poly1305_init + +.type poly1305_blocks,%function +.align 5 +poly1305_blocks: +.Lpoly1305_blocks: + ands $len,$len,#-16 + b.eq .Lno_data + + ldp $h0,$h1,[$ctx] // load hash value + ldp $h2,x17,[$ctx,#16] // [along with is_base2_26] + ldp $r0,$r1,[$ctx,#32] // load key value + +#ifdef __AARCH64EB__ + lsr $d0,$h0,#32 + mov w#$d1,w#$h0 + lsr $d2,$h1,#32 + mov w15,w#$h1 + lsr x16,$h2,#32 +#else + mov w#$d0,w#$h0 + lsr $d1,$h0,#32 + mov w#$d2,w#$h1 + lsr x15,$h1,#32 + mov w16,w#$h2 +#endif + + add $d0,$d0,$d1,lsl#26 // base 2^26 -> base 2^64 + lsr $d1,$d2,#12 + adds $d0,$d0,$d2,lsl#52 + add $d1,$d1,x15,lsl#14 + adc $d1,$d1,xzr + lsr $d2,x16,#24 + adds $d1,$d1,x16,lsl#40 + adc $d2,$d2,xzr + + cmp x17,#0 // is_base2_26? + add $s1,$r1,$r1,lsr#2 // s1 = r1 + (r1 >> 2) + csel $h0,$h0,$d0,eq // choose between radixes + csel $h1,$h1,$d1,eq + csel $h2,$h2,$d2,eq + +.Loop: + ldp $t0,$t1,[$inp],#16 // load input + sub $len,$len,#16 +#ifdef __AARCH64EB__ + rev $t0,$t0 + rev $t1,$t1 +#endif + adds $h0,$h0,$t0 // accumulate input + adcs $h1,$h1,$t1 + + mul $d0,$h0,$r0 // h0*r0 + adc $h2,$h2,$padbit + umulh $d1,$h0,$r0 + + mul $t0,$h1,$s1 // h1*5*r1 + umulh $t1,$h1,$s1 + + adds $d0,$d0,$t0 + mul $t0,$h0,$r1 // h0*r1 + adc $d1,$d1,$t1 + umulh $d2,$h0,$r1 + + adds $d1,$d1,$t0 + mul $t0,$h1,$r0 // h1*r0 + adc $d2,$d2,xzr + umulh $t1,$h1,$r0 + + adds $d1,$d1,$t0 + mul $t0,$h2,$s1 // h2*5*r1 + adc $d2,$d2,$t1 + mul $t1,$h2,$r0 // h2*r0 + + adds $d1,$d1,$t0 + adc $d2,$d2,$t1 + + and $t0,$d2,#-4 // final reduction + and $h2,$d2,#3 + add $t0,$t0,$d2,lsr#2 + adds $h0,$d0,$t0 + adcs $h1,$d1,xzr + adc $h2,$h2,xzr + + cbnz $len,.Loop + + stp $h0,$h1,[$ctx] // store hash value + stp $h2,xzr,[$ctx,#16] // [and clear is_base2_26] + +.Lno_data: + ret +.size poly1305_blocks,.-poly1305_blocks + +.type poly1305_emit,%function +.align 5 +poly1305_emit: +.Lpoly1305_emit: + ldp $h0,$h1,[$ctx] // load hash base 2^64 + ldp $h2,$r0,[$ctx,#16] // [along with is_base2_26] + ldp $t0,$t1,[$nonce] // load nonce + +#ifdef __AARCH64EB__ + lsr $d0,$h0,#32 + mov w#$d1,w#$h0 + lsr $d2,$h1,#32 + mov w15,w#$h1 + lsr x16,$h2,#32 +#else + mov w#$d0,w#$h0 + lsr $d1,$h0,#32 + mov w#$d2,w#$h1 + lsr x15,$h1,#32 + mov w16,w#$h2 +#endif + + add $d0,$d0,$d1,lsl#26 // base 2^26 -> base 2^64 + lsr $d1,$d2,#12 + adds $d0,$d0,$d2,lsl#52 + add $d1,$d1,x15,lsl#14 + adc $d1,$d1,xzr + lsr $d2,x16,#24 + adds $d1,$d1,x16,lsl#40 + adc $d2,$d2,xzr + + cmp $r0,#0 // is_base2_26? + csel $h0,$h0,$d0,eq // choose between radixes + csel $h1,$h1,$d1,eq + csel $h2,$h2,$d2,eq + + adds $d0,$h0,#5 // compare to modulus + adcs $d1,$h1,xzr + adc $d2,$h2,xzr + + tst $d2,#-4 // see if it's carried/borrowed + + csel $h0,$h0,$d0,eq + csel $h1,$h1,$d1,eq + +#ifdef __AARCH64EB__ + ror $t0,$t0,#32 // flip nonce words + ror $t1,$t1,#32 +#endif + adds $h0,$h0,$t0 // accumulate nonce + adc $h1,$h1,$t1 +#ifdef __AARCH64EB__ + rev $h0,$h0 // flip output bytes + rev $h1,$h1 +#endif + stp $h0,$h1,[$mac] // write result + + ret +.size poly1305_emit,.-poly1305_emit +___ +my ($R0,$R1,$S1,$R2,$S2,$R3,$S3,$R4,$S4) = map("v$_.4s",(0..8)); +my ($IN01_0,$IN01_1,$IN01_2,$IN01_3,$IN01_4) = map("v$_.2s",(9..13)); +my ($IN23_0,$IN23_1,$IN23_2,$IN23_3,$IN23_4) = map("v$_.2s",(14..18)); +my ($ACC0,$ACC1,$ACC2,$ACC3,$ACC4) = map("v$_.2d",(19..23)); +my ($H0,$H1,$H2,$H3,$H4) = map("v$_.2s",(24..28)); +my ($T0,$T1,$MASK) = map("v$_",(29..31)); + +my ($in2,$zeros)=("x16","x17"); +my $is_base2_26 = $zeros; # borrow + +$code.=<<___; +.type poly1305_mult,%function +.align 5 +poly1305_mult: + mul $d0,$h0,$r0 // h0*r0 + umulh $d1,$h0,$r0 + + mul $t0,$h1,$s1 // h1*5*r1 + umulh $t1,$h1,$s1 + + adds $d0,$d0,$t0 + mul $t0,$h0,$r1 // h0*r1 + adc $d1,$d1,$t1 + umulh $d2,$h0,$r1 + + adds $d1,$d1,$t0 + mul $t0,$h1,$r0 // h1*r0 + adc $d2,$d2,xzr + umulh $t1,$h1,$r0 + + adds $d1,$d1,$t0 + mul $t0,$h2,$s1 // h2*5*r1 + adc $d2,$d2,$t1 + mul $t1,$h2,$r0 // h2*r0 + + adds $d1,$d1,$t0 + adc $d2,$d2,$t1 + + and $t0,$d2,#-4 // final reduction + and $h2,$d2,#3 + add $t0,$t0,$d2,lsr#2 + adds $h0,$d0,$t0 + adcs $h1,$d1,xzr + adc $h2,$h2,xzr + + ret +.size poly1305_mult,.-poly1305_mult + +.type poly1305_splat,%function +.align 4 +poly1305_splat: + and x12,$h0,#0x03ffffff // base 2^64 -> base 2^26 + ubfx x13,$h0,#26,#26 + extr x14,$h1,$h0,#52 + and x14,x14,#0x03ffffff + ubfx x15,$h1,#14,#26 + extr x16,$h2,$h1,#40 + + str w12,[$ctx,#16*0] // r0 + add w12,w13,w13,lsl#2 // r1*5 + str w13,[$ctx,#16*1] // r1 + add w13,w14,w14,lsl#2 // r2*5 + str w12,[$ctx,#16*2] // s1 + str w14,[$ctx,#16*3] // r2 + add w14,w15,w15,lsl#2 // r3*5 + str w13,[$ctx,#16*4] // s2 + str w15,[$ctx,#16*5] // r3 + add w15,w16,w16,lsl#2 // r4*5 + str w14,[$ctx,#16*6] // s3 + str w16,[$ctx,#16*7] // r4 + str w15,[$ctx,#16*8] // s4 + + ret +.size poly1305_splat,.-poly1305_splat + +#ifdef __KERNEL__ +.globl poly1305_blocks_neon +#endif +.type poly1305_blocks_neon,%function +.align 5 +poly1305_blocks_neon: +.Lpoly1305_blocks_neon: + ldr $is_base2_26,[$ctx,#24] + cmp $len,#128 + b.lo .Lpoly1305_blocks + + .inst 0xd503233f // paciasp + stp c29,c30,[csp,#-2*__SIZEOF_POINTER__-64]! + add c29,csp,#0 + + stp d8,d9,[csp,#2*__SIZEOF_POINTER__+0] // meet ABI requirements + stp d10,d11,[csp,#2*__SIZEOF_POINTER__+16] + stp d12,d13,[csp,#2*__SIZEOF_POINTER__+32] + stp d14,d15,[csp,#2*__SIZEOF_POINTER__+48] + + cbz $is_base2_26,.Lbase2_64_neon + + ldp w10,w11,[$ctx] // load hash value base 2^26 + ldp w12,w13,[$ctx,#8] + ldr w14,[$ctx,#16] + + tst $len,#31 + b.eq .Leven_neon + + ldp $r0,$r1,[$ctx,#32] // load key value + + add $h0,x10,x11,lsl#26 // base 2^26 -> base 2^64 + lsr $h1,x12,#12 + adds $h0,$h0,x12,lsl#52 + add $h1,$h1,x13,lsl#14 + adc $h1,$h1,xzr + lsr $h2,x14,#24 + adds $h1,$h1,x14,lsl#40 + adc $d2,$h2,xzr // can be partially reduced... + + ldp $d0,$d1,[$inp],#16 // load input + sub $len,$len,#16 + add $s1,$r1,$r1,lsr#2 // s1 = r1 + (r1 >> 2) + +#ifdef __AARCH64EB__ + rev $d0,$d0 + rev $d1,$d1 +#endif + adds $h0,$h0,$d0 // accumulate input + adcs $h1,$h1,$d1 + adc $h2,$h2,$padbit + + bl poly1305_mult + + and x10,$h0,#0x03ffffff // base 2^64 -> base 2^26 + ubfx x11,$h0,#26,#26 + extr x12,$h1,$h0,#52 + and x12,x12,#0x03ffffff + ubfx x13,$h1,#14,#26 + extr x14,$h2,$h1,#40 + + b .Leven_neon + +.align 4 +.Lbase2_64_neon: + ldp $r0,$r1,[$ctx,#32] // load key value + + ldp $h0,$h1,[$ctx] // load hash value base 2^64 + ldr $h2,[$ctx,#16] + + tst $len,#31 + b.eq .Linit_neon + + ldp $d0,$d1,[$inp],#16 // load input + sub $len,$len,#16 + add $s1,$r1,$r1,lsr#2 // s1 = r1 + (r1 >> 2) +#ifdef __AARCH64EB__ + rev $d0,$d0 + rev $d1,$d1 +#endif + adds $h0,$h0,$d0 // accumulate input + adcs $h1,$h1,$d1 + adc $h2,$h2,$padbit + + bl poly1305_mult + +.Linit_neon: + ldr w17,[$ctx,#48] // first table element + and x10,$h0,#0x03ffffff // base 2^64 -> base 2^26 + ubfx x11,$h0,#26,#26 + extr x12,$h1,$h0,#52 + and x12,x12,#0x03ffffff + ubfx x13,$h1,#14,#26 + extr x14,$h2,$h1,#40 + + cmp w17,#-1 // is value impossible? + b.ne .Leven_neon + + fmov ${H0},x10 + fmov ${H1},x11 + fmov ${H2},x12 + fmov ${H3},x13 + fmov ${H4},x14 + + ////////////////////////////////// initialize r^n table + mov $h0,$r0 // r^1 + add $s1,$r1,$r1,lsr#2 // s1 = r1 + (r1 >> 2) + mov $h1,$r1 + mov $h2,xzr + cadd $ctx,$ctx,#48+12 + bl poly1305_splat + + bl poly1305_mult // r^2 + csub $ctx,$ctx,#4 + bl poly1305_splat + + bl poly1305_mult // r^3 + csub $ctx,$ctx,#4 + bl poly1305_splat + + bl poly1305_mult // r^4 + csub $ctx,$ctx,#4 + bl poly1305_splat + csub $ctx,$ctx,#48 // restore original $ctx + b .Ldo_neon + +.align 4 +.Leven_neon: + fmov ${H0},x10 + fmov ${H1},x11 + fmov ${H2},x12 + fmov ${H3},x13 + fmov ${H4},x14 + +.Ldo_neon: + ldp x8,x12,[$inp,#32] // inp[2:3] + subs $len,$len,#64 + ldp x9,x13,[$inp,#48] + cadd $in2,$inp,#96 + adr $zeros,.Lzeros + + lsl $padbit,$padbit,#24 + cadd x15,$ctx,#48 + +#ifdef __AARCH64EB__ + rev x8,x8 + rev x12,x12 + rev x9,x9 + rev x13,x13 +#endif + and x4,x8,#0x03ffffff // base 2^64 -> base 2^26 + and x5,x9,#0x03ffffff + ubfx x6,x8,#26,#26 + ubfx x7,x9,#26,#26 + add x4,x4,x5,lsl#32 // bfi x4,x5,#32,#32 + extr x8,x12,x8,#52 + extr x9,x13,x9,#52 + add x6,x6,x7,lsl#32 // bfi x6,x7,#32,#32 + fmov $IN23_0,x4 + and x8,x8,#0x03ffffff + and x9,x9,#0x03ffffff + ubfx x10,x12,#14,#26 + ubfx x11,x13,#14,#26 + add x12,$padbit,x12,lsr#40 + add x13,$padbit,x13,lsr#40 + add x8,x8,x9,lsl#32 // bfi x8,x9,#32,#32 + fmov $IN23_1,x6 + add x10,x10,x11,lsl#32 // bfi x10,x11,#32,#32 + add x12,x12,x13,lsl#32 // bfi x12,x13,#32,#32 + fmov $IN23_2,x8 + fmov $IN23_3,x10 + fmov $IN23_4,x12 + + ldp x8,x12,[$inp],#16 // inp[0:1] + ldp x9,x13,[$inp],#48 + + ld1 {$R0,$R1,$S1,$R2},[x15],#64 + ld1 {$S2,$R3,$S3,$R4},[x15],#64 + ld1 {$S4},[x15] + +#ifdef __AARCH64EB__ + rev x8,x8 + rev x12,x12 + rev x9,x9 + rev x13,x13 +#endif + and x4,x8,#0x03ffffff // base 2^64 -> base 2^26 + and x5,x9,#0x03ffffff + ubfx x6,x8,#26,#26 + ubfx x7,x9,#26,#26 + add x4,x4,x5,lsl#32 // bfi x4,x5,#32,#32 + extr x8,x12,x8,#52 + extr x9,x13,x9,#52 + add x6,x6,x7,lsl#32 // bfi x6,x7,#32,#32 + fmov $IN01_0,x4 + and x8,x8,#0x03ffffff + and x9,x9,#0x03ffffff + ubfx x10,x12,#14,#26 + ubfx x11,x13,#14,#26 + add x12,$padbit,x12,lsr#40 + add x13,$padbit,x13,lsr#40 + add x8,x8,x9,lsl#32 // bfi x8,x9,#32,#32 + fmov $IN01_1,x6 + add x10,x10,x11,lsl#32 // bfi x10,x11,#32,#32 + add x12,x12,x13,lsl#32 // bfi x12,x13,#32,#32 + movi $MASK.2d,#-1 + fmov $IN01_2,x8 + fmov $IN01_3,x10 + fmov $IN01_4,x12 + ushr $MASK.2d,$MASK.2d,#38 + + b.ls .Lskip_loop + +.align 4 +.Loop_neon: + //////////////////////////////////////////////////////////////// + // ((inp[0]*r^4+inp[2]*r^2+inp[4])*r^4+inp[6]*r^2 + // ((inp[1]*r^4+inp[3]*r^2+inp[5])*r^3+inp[7]*r + // \___________________/ + // ((inp[0]*r^4+inp[2]*r^2+inp[4])*r^4+inp[6]*r^2+inp[8])*r^2 + // ((inp[1]*r^4+inp[3]*r^2+inp[5])*r^4+inp[7]*r^2+inp[9])*r + // \___________________/ \____________________/ + // + // Note that we start with inp[2:3]*r^2. This is because it + // doesn't depend on reduction in previous iteration. + //////////////////////////////////////////////////////////////// + // d4 = h0*r4 + h1*r3 + h2*r2 + h3*r1 + h4*r0 + // d3 = h0*r3 + h1*r2 + h2*r1 + h3*r0 + h4*5*r4 + // d2 = h0*r2 + h1*r1 + h2*r0 + h3*5*r4 + h4*5*r3 + // d1 = h0*r1 + h1*r0 + h2*5*r4 + h3*5*r3 + h4*5*r2 + // d0 = h0*r0 + h1*5*r4 + h2*5*r3 + h3*5*r2 + h4*5*r1 + + subs $len,$len,#64 + umull $ACC4,$IN23_0,${R4}[2] + csel c#$in2,c#$zeros,c#$in2,lo + umull $ACC3,$IN23_0,${R3}[2] + umull $ACC2,$IN23_0,${R2}[2] + ldp x8,x12,[$in2],#16 // inp[2:3] (or zero) + umull $ACC1,$IN23_0,${R1}[2] + ldp x9,x13,[$in2],#48 + umull $ACC0,$IN23_0,${R0}[2] +#ifdef __AARCH64EB__ + rev x8,x8 + rev x12,x12 + rev x9,x9 + rev x13,x13 +#endif + + umlal $ACC4,$IN23_1,${R3}[2] + and x4,x8,#0x03ffffff // base 2^64 -> base 2^26 + umlal $ACC3,$IN23_1,${R2}[2] + and x5,x9,#0x03ffffff + umlal $ACC2,$IN23_1,${R1}[2] + ubfx x6,x8,#26,#26 + umlal $ACC1,$IN23_1,${R0}[2] + ubfx x7,x9,#26,#26 + umlal $ACC0,$IN23_1,${S4}[2] + add x4,x4,x5,lsl#32 // bfi x4,x5,#32,#32 + + umlal $ACC4,$IN23_2,${R2}[2] + extr x8,x12,x8,#52 + umlal $ACC3,$IN23_2,${R1}[2] + extr x9,x13,x9,#52 + umlal $ACC2,$IN23_2,${R0}[2] + add x6,x6,x7,lsl#32 // bfi x6,x7,#32,#32 + umlal $ACC1,$IN23_2,${S4}[2] + fmov $IN23_0,x4 + umlal $ACC0,$IN23_2,${S3}[2] + and x8,x8,#0x03ffffff + + umlal $ACC4,$IN23_3,${R1}[2] + and x9,x9,#0x03ffffff + umlal $ACC3,$IN23_3,${R0}[2] + ubfx x10,x12,#14,#26 + umlal $ACC2,$IN23_3,${S4}[2] + ubfx x11,x13,#14,#26 + umlal $ACC1,$IN23_3,${S3}[2] + add x8,x8,x9,lsl#32 // bfi x8,x9,#32,#32 + umlal $ACC0,$IN23_3,${S2}[2] + fmov $IN23_1,x6 + + add $IN01_2,$IN01_2,$H2 + add x12,$padbit,x12,lsr#40 + umlal $ACC4,$IN23_4,${R0}[2] + add x13,$padbit,x13,lsr#40 + umlal $ACC3,$IN23_4,${S4}[2] + add x10,x10,x11,lsl#32 // bfi x10,x11,#32,#32 + umlal $ACC2,$IN23_4,${S3}[2] + add x12,x12,x13,lsl#32 // bfi x12,x13,#32,#32 + umlal $ACC1,$IN23_4,${S2}[2] + fmov $IN23_2,x8 + umlal $ACC0,$IN23_4,${S1}[2] + fmov $IN23_3,x10 + + //////////////////////////////////////////////////////////////// + // (hash+inp[0:1])*r^4 and accumulate + + add $IN01_0,$IN01_0,$H0 + fmov $IN23_4,x12 + umlal $ACC3,$IN01_2,${R1}[0] + ldp x8,x12,[$inp],#16 // inp[0:1] + umlal $ACC0,$IN01_2,${S3}[0] + ldp x9,x13,[$inp],#48 + umlal $ACC4,$IN01_2,${R2}[0] + umlal $ACC1,$IN01_2,${S4}[0] + umlal $ACC2,$IN01_2,${R0}[0] +#ifdef __AARCH64EB__ + rev x8,x8 + rev x12,x12 + rev x9,x9 + rev x13,x13 +#endif + + add $IN01_1,$IN01_1,$H1 + umlal $ACC3,$IN01_0,${R3}[0] + umlal $ACC4,$IN01_0,${R4}[0] + and x4,x8,#0x03ffffff // base 2^64 -> base 2^26 + umlal $ACC2,$IN01_0,${R2}[0] + and x5,x9,#0x03ffffff + umlal $ACC0,$IN01_0,${R0}[0] + ubfx x6,x8,#26,#26 + umlal $ACC1,$IN01_0,${R1}[0] + ubfx x7,x9,#26,#26 + + add $IN01_3,$IN01_3,$H3 + add x4,x4,x5,lsl#32 // bfi x4,x5,#32,#32 + umlal $ACC3,$IN01_1,${R2}[0] + extr x8,x12,x8,#52 + umlal $ACC4,$IN01_1,${R3}[0] + extr x9,x13,x9,#52 + umlal $ACC0,$IN01_1,${S4}[0] + add x6,x6,x7,lsl#32 // bfi x6,x7,#32,#32 + umlal $ACC2,$IN01_1,${R1}[0] + fmov $IN01_0,x4 + umlal $ACC1,$IN01_1,${R0}[0] + and x8,x8,#0x03ffffff + + add $IN01_4,$IN01_4,$H4 + and x9,x9,#0x03ffffff + umlal $ACC3,$IN01_3,${R0}[0] + ubfx x10,x12,#14,#26 + umlal $ACC0,$IN01_3,${S2}[0] + ubfx x11,x13,#14,#26 + umlal $ACC4,$IN01_3,${R1}[0] + add x8,x8,x9,lsl#32 // bfi x8,x9,#32,#32 + umlal $ACC1,$IN01_3,${S3}[0] + fmov $IN01_1,x6 + umlal $ACC2,$IN01_3,${S4}[0] + add x12,$padbit,x12,lsr#40 + + umlal $ACC3,$IN01_4,${S4}[0] + add x13,$padbit,x13,lsr#40 + umlal $ACC0,$IN01_4,${S1}[0] + add x10,x10,x11,lsl#32 // bfi x10,x11,#32,#32 + umlal $ACC4,$IN01_4,${R0}[0] + add x12,x12,x13,lsl#32 // bfi x12,x13,#32,#32 + umlal $ACC1,$IN01_4,${S2}[0] + fmov $IN01_2,x8 + umlal $ACC2,$IN01_4,${S3}[0] + fmov $IN01_3,x10 + fmov $IN01_4,x12 + + ///////////////////////////////////////////////////////////////// + // lazy reduction as discussed in "NEON crypto" by D.J. Bernstein + // and P. Schwabe + // + // [see discussion in poly1305-armv4 module] + + ushr $T0.2d,$ACC3,#26 + xtn $H3,$ACC3 + ushr $T1.2d,$ACC0,#26 + and $ACC0,$ACC0,$MASK.2d + add $ACC4,$ACC4,$T0.2d // h3 -> h4 + bic $H3,#0xfc,lsl#24 // &=0x03ffffff + add $ACC1,$ACC1,$T1.2d // h0 -> h1 + + ushr $T0.2d,$ACC4,#26 + xtn $H4,$ACC4 + ushr $T1.2d,$ACC1,#26 + xtn $H1,$ACC1 + bic $H4,#0xfc,lsl#24 + add $ACC2,$ACC2,$T1.2d // h1 -> h2 + + add $ACC0,$ACC0,$T0.2d + shl $T0.2d,$T0.2d,#2 + shrn $T1.2s,$ACC2,#26 + xtn $H2,$ACC2 + add $ACC0,$ACC0,$T0.2d // h4 -> h0 + bic $H1,#0xfc,lsl#24 + add $H3,$H3,$T1.2s // h2 -> h3 + bic $H2,#0xfc,lsl#24 + + shrn $T0.2s,$ACC0,#26 + xtn $H0,$ACC0 + ushr $T1.2s,$H3,#26 + bic $H3,#0xfc,lsl#24 + bic $H0,#0xfc,lsl#24 + add $H1,$H1,$T0.2s // h0 -> h1 + add $H4,$H4,$T1.2s // h3 -> h4 + + b.hi .Loop_neon + +.Lskip_loop: + dup $IN23_2,${IN23_2}[0] + add $IN01_2,$IN01_2,$H2 + + //////////////////////////////////////////////////////////////// + // multiply (inp[0:1]+hash) or inp[2:3] by r^2:r^1 + + adds $len,$len,#32 + b.ne .Long_tail + + dup $IN23_2,${IN01_2}[0] + add $IN23_0,$IN01_0,$H0 + add $IN23_3,$IN01_3,$H3 + add $IN23_1,$IN01_1,$H1 + add $IN23_4,$IN01_4,$H4 + +.Long_tail: + dup $IN23_0,${IN23_0}[0] + umull2 $ACC0,$IN23_2,${S3} + umull2 $ACC3,$IN23_2,${R1} + umull2 $ACC4,$IN23_2,${R2} + umull2 $ACC2,$IN23_2,${R0} + umull2 $ACC1,$IN23_2,${S4} + + dup $IN23_1,${IN23_1}[0] + umlal2 $ACC0,$IN23_0,${R0} + umlal2 $ACC2,$IN23_0,${R2} + umlal2 $ACC3,$IN23_0,${R3} + umlal2 $ACC4,$IN23_0,${R4} + umlal2 $ACC1,$IN23_0,${R1} + + dup $IN23_3,${IN23_3}[0] + umlal2 $ACC0,$IN23_1,${S4} + umlal2 $ACC3,$IN23_1,${R2} + umlal2 $ACC2,$IN23_1,${R1} + umlal2 $ACC4,$IN23_1,${R3} + umlal2 $ACC1,$IN23_1,${R0} + + dup $IN23_4,${IN23_4}[0] + umlal2 $ACC3,$IN23_3,${R0} + umlal2 $ACC4,$IN23_3,${R1} + umlal2 $ACC0,$IN23_3,${S2} + umlal2 $ACC1,$IN23_3,${S3} + umlal2 $ACC2,$IN23_3,${S4} + + umlal2 $ACC3,$IN23_4,${S4} + umlal2 $ACC0,$IN23_4,${S1} + umlal2 $ACC4,$IN23_4,${R0} + umlal2 $ACC1,$IN23_4,${S2} + umlal2 $ACC2,$IN23_4,${S3} + + b.eq .Lshort_tail + + //////////////////////////////////////////////////////////////// + // (hash+inp[0:1])*r^4:r^3 and accumulate + + add $IN01_0,$IN01_0,$H0 + umlal $ACC3,$IN01_2,${R1} + umlal $ACC0,$IN01_2,${S3} + umlal $ACC4,$IN01_2,${R2} + umlal $ACC1,$IN01_2,${S4} + umlal $ACC2,$IN01_2,${R0} + + add $IN01_1,$IN01_1,$H1 + umlal $ACC3,$IN01_0,${R3} + umlal $ACC0,$IN01_0,${R0} + umlal $ACC4,$IN01_0,${R4} + umlal $ACC1,$IN01_0,${R1} + umlal $ACC2,$IN01_0,${R2} + + add $IN01_3,$IN01_3,$H3 + umlal $ACC3,$IN01_1,${R2} + umlal $ACC0,$IN01_1,${S4} + umlal $ACC4,$IN01_1,${R3} + umlal $ACC1,$IN01_1,${R0} + umlal $ACC2,$IN01_1,${R1} + + add $IN01_4,$IN01_4,$H4 + umlal $ACC3,$IN01_3,${R0} + umlal $ACC0,$IN01_3,${S2} + umlal $ACC4,$IN01_3,${R1} + umlal $ACC1,$IN01_3,${S3} + umlal $ACC2,$IN01_3,${S4} + + umlal $ACC3,$IN01_4,${S4} + umlal $ACC0,$IN01_4,${S1} + umlal $ACC4,$IN01_4,${R0} + umlal $ACC1,$IN01_4,${S2} + umlal $ACC2,$IN01_4,${S3} + +.Lshort_tail: + //////////////////////////////////////////////////////////////// + // horizontal add + + addp $ACC3,$ACC3,$ACC3 + ldp d8,d9,[sp,#2*__SIZEOF_POINTER__+0] // meet ABI requirements + addp $ACC0,$ACC0,$ACC0 + ldp d10,d11,[sp,#2*__SIZEOF_POINTER__+16] + addp $ACC4,$ACC4,$ACC4 + ldp d12,d13,[sp,#2*__SIZEOF_POINTER__+32] + addp $ACC1,$ACC1,$ACC1 + ldp d14,d15,[sp,#2*__SIZEOF_POINTER__+48] + addp $ACC2,$ACC2,$ACC2 + ldr c30,[csp,#__SIZEOF_POINTER__] + + //////////////////////////////////////////////////////////////// + // lazy reduction, but without narrowing + + ushr $T0.2d,$ACC3,#26 + and $ACC3,$ACC3,$MASK.2d + ushr $T1.2d,$ACC0,#26 + and $ACC0,$ACC0,$MASK.2d + + add $ACC4,$ACC4,$T0.2d // h3 -> h4 + add $ACC1,$ACC1,$T1.2d // h0 -> h1 + + ushr $T0.2d,$ACC4,#26 + and $ACC4,$ACC4,$MASK.2d + ushr $T1.2d,$ACC1,#26 + and $ACC1,$ACC1,$MASK.2d + add $ACC2,$ACC2,$T1.2d // h1 -> h2 + + add $ACC0,$ACC0,$T0.2d + shl $T0.2d,$T0.2d,#2 + ushr $T1.2d,$ACC2,#26 + and $ACC2,$ACC2,$MASK.2d + add $ACC0,$ACC0,$T0.2d // h4 -> h0 + add $ACC3,$ACC3,$T1.2d // h2 -> h3 + + ushr $T0.2d,$ACC0,#26 + and $ACC0,$ACC0,$MASK.2d + ushr $T1.2d,$ACC3,#26 + and $ACC3,$ACC3,$MASK.2d + add $ACC1,$ACC1,$T0.2d // h0 -> h1 + add $ACC4,$ACC4,$T1.2d // h3 -> h4 + + //////////////////////////////////////////////////////////////// + // write the result, can be partially reduced + + st4 {$ACC0,$ACC1,$ACC2,$ACC3}[0],[$ctx],#16 + mov x4,#1 + st1 {$ACC4}[0],[$ctx] + str x4,[$ctx,#8] // set is_base2_26 + + ldr c29,[csp],#2*__SIZEOF_POINTER__+64 + .inst 0xd50323bf // autiasp + ret +.size poly1305_blocks_neon,.-poly1305_blocks_neon + +.align 5 +.Lzeros: +.long 0,0,0,0,0,0,0,0 +.asciz "Poly1305 for ARMv8, CRYPTOGAMS by \@dot-asm" +.align 2 +#if !defined(__KERNEL__) && !defined(_WIN64) +.comm OPENSSL_armcap_P,4,4 +.hidden OPENSSL_armcap_P +#endif +___ + +foreach (split("\n",$code)) { + s/\b(shrn\s+v[0-9]+)\.[24]d/$1.2s/ or + s/\b(fmov\s+)v([0-9]+)[^,]*,\s*x([0-9]+)/$1d$2,x$3/ or + (m/\bdup\b/ and (s/\.[24]s/.2d/g or 1)) or + (m/\b(eor|and)/ and (s/\.[248][sdh]/.16b/g or 1)) or + (m/\bum(ul|la)l\b/ and (s/\.4s/.2s/g or 1)) or + (m/\bum(ul|la)l2\b/ and (s/\.2s/.4s/g or 1)) or + (m/\bst[1-4]\s+{[^}]+}\[/ and (s/\.[24]d/.s/g or 1)); + + s/\.[124]([sd])\[/.$1\[/; + s/([cw])#x([0-9]+)/$1$2/g; + + print $_,"\n"; +} +close STDOUT; diff --git a/cbits/asm/poly1305-x86_64-elf.S b/cbits/asm/poly1305-x86_64-elf.S new file mode 100644 --- /dev/null +++ b/cbits/asm/poly1305-x86_64-elf.S @@ -0,0 +1,2033 @@ +.text + + + +.globl crypton_poly1305_asm_init +.hidden crypton_poly1305_asm_init +.globl crypton_poly1305_asm_blocks +.hidden crypton_poly1305_asm_blocks +.globl crypton_poly1305_asm_emit +.hidden crypton_poly1305_asm_emit + +.type crypton_poly1305_asm_init,@function +.align 32 +crypton_poly1305_asm_init: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + xorq %rax,%rax + movq %rax,0(%rdi) + movq %rax,8(%rdi) + movq %rax,16(%rdi) + + cmpq $0,%rsi + je .Lno_key + + movq $0x0ffffffc0fffffff,%rax + leaq -3(%rax),%rcx + andq 0(%rsi),%rax + andq 8(%rsi),%rcx + movq %rax,24(%rdi) + movq %rcx,32(%rdi) + movl $-1,48(%rdi) + leaq crypton_poly1305_asm_blocks(%rip),%r10 + leaq crypton_poly1305_asm_emit(%rip),%r11 + movq crypton_ia32cap_P+4(%rip),%r9 + leaq crypton_poly1305_asm_blocks_avx(%rip),%rax + btq $28,%r9 + cmovcq %rax,%r10 + leaq crypton_poly1305_asm_blocks_avx2(%rip),%rax + btq $37,%r9 + cmovcq %rax,%r10 + movq %r10,0(%rdx) + movq %r11,8(%rdx) + movl $1,%eax +.Lno_key: + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_poly1305_asm_init,.-crypton_poly1305_asm_init + +.type crypton_poly1305_asm_blocks,@function +.align 32 +crypton_poly1305_asm_blocks: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + +.Lblocks: + shrq $4,%rdx + jz .Lno_data + + pushq %rbx +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbx,-16 + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-24 + pushq %r12 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r15,-56 + leaq -8(%rsp),%rsp +.cfi_adjust_cfa_offset 8 +.Lblocks_body: + + movq %rdx,%r15 + + movq 24(%rdi),%r11 + movq 32(%rdi),%r13 + + movq 0(%rdi),%r14 + movq 8(%rdi),%rbx + movq 16(%rdi),%rbp + + movl %r14d,%eax + movl 4(%rdi),%edx + movl %ebx,%r8d + movl 12(%rdi),%r10d + movl %ebp,%r12d + + shlq $26,%rdx + movq %r8,%r9 + shlq $52,%r8 + addq %rdx,%rax + shrq $12,%r9 + addq %rax,%r8 + adcq $0,%r9 + + shlq $14,%r10 + movq %r12,%rax + shrq $24,%r12 + addq %r10,%r9 + shlq $40,%rax + addq %rax,%r9 + adcq $0,%r12 + + cmpq $4,%rbp + + cmovaq %r8,%r14 + cmovaq %r9,%rbx + cmovaq %r12,%rbp + + movq %r13,%r12 + shrq $2,%r13 + movq %r12,%rax + addq %r12,%r13 + jmp .Loop + +.align 32 +.Loop: + addq 0(%rsi),%r14 + adcq 8(%rsi),%rbx + leaq 16(%rsi),%rsi + adcq %rcx,%rbp + mulq %r14 + movq %rax,%r9 + movq %r11,%rax + movq %rdx,%r10 + + mulq %r14 + movq %rax,%r14 + movq %r11,%rax + movq %rdx,%r8 + + mulq %rbx + addq %rax,%r9 + movq %r13,%rax + adcq %rdx,%r10 + + mulq %rbx + movq %rbp,%rbx + addq %rax,%r14 + adcq %rdx,%r8 + + imulq %r13,%rbx + addq %rbx,%r9 + movq %r8,%rbx + adcq $0,%r10 + + imulq %r11,%rbp + addq %r9,%rbx + movq $-4,%rax + adcq %rbp,%r10 + + andq %r10,%rax + movq %r10,%rbp + shrq $2,%r10 + andq $3,%rbp + addq %r10,%rax + addq %rax,%r14 + adcq $0,%rbx + adcq $0,%rbp + movq %r12,%rax + decq %r15 + jnz .Loop + + movq %r14,0(%rdi) + movq %rbx,8(%rdi) + movq %rbp,16(%rdi) + + movq 8(%rsp),%r15 +.cfi_restore %r15 + movq 16(%rsp),%r14 +.cfi_restore %r14 + movq 24(%rsp),%r13 +.cfi_restore %r13 + movq 32(%rsp),%r12 +.cfi_restore %r12 + movq 40(%rsp),%rbp +.cfi_restore %rbp + movq 48(%rsp),%rbx +.cfi_restore %rbx + leaq 56(%rsp),%rsp +.cfi_adjust_cfa_offset -56 +.Lno_data: +.Lblocks_epilogue: + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_poly1305_asm_blocks,.-crypton_poly1305_asm_blocks + +.type crypton_poly1305_asm_emit,@function +.align 32 +crypton_poly1305_asm_emit: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + movl 0(%rdi),%eax + movl 4(%rdi),%ecx + movl 8(%rdi),%r8d + movl 12(%rdi),%r11d + movl 16(%rdi),%r10d + + shlq $26,%rcx + movq %r8,%r9 + shlq $52,%r8 + addq %rcx,%rax + shrq $12,%r9 + addq %rax,%r8 + adcq $0,%r9 + + shlq $14,%r11 + movq %r10,%rax + shrq $24,%r10 + addq %r11,%r9 + movq 0(%rdi),%rcx + shlq $40,%rax + movq 8(%rdi),%r11 + addq %rax,%r9 + movq 16(%rdi),%rax + adcq $0,%r10 + + cmpq $4,%rax + + cmovbeq %rcx,%r8 + cmovbeq %r11,%r9 + cmovbeq %rax,%r10 + + movq %r8,%rax + addq $5,%r8 + movq %r9,%rcx + adcq $0,%r9 + adcq $0,%r10 + shrq $2,%r10 + cmovnzq %r8,%rax + cmovnzq %r9,%rcx + + addq 0(%rdx),%rax + adcq 8(%rdx),%rcx + movq %rax,0(%rsi) + movq %rcx,8(%rsi) + + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_poly1305_asm_emit,.-crypton_poly1305_asm_emit +.type __crypton_poly1305_asm_block,@function +.align 32 +__crypton_poly1305_asm_block: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + mulq %r14 + movq %rax,%r9 + movq %r11,%rax + movq %rdx,%r10 + + mulq %r14 + movq %rax,%r14 + movq %r11,%rax + movq %rdx,%r8 + + mulq %rbx + addq %rax,%r9 + movq %r13,%rax + adcq %rdx,%r10 + + mulq %rbx + movq %rbp,%rbx + addq %rax,%r14 + adcq %rdx,%r8 + + imulq %r13,%rbx + addq %rbx,%r9 + movq %r8,%rbx + adcq $0,%r10 + + imulq %r11,%rbp + addq %r9,%rbx + movq $-4,%rax + adcq %rbp,%r10 + + andq %r10,%rax + movq %r10,%rbp + shrq $2,%r10 + andq $3,%rbp + addq %r10,%rax + addq %rax,%r14 + adcq $0,%rbx + adcq $0,%rbp + .byte 0xf3,0xc3 +.cfi_endproc +.size __crypton_poly1305_asm_block,.-__crypton_poly1305_asm_block + +.type __crypton_poly1305_asm_init_avx,@function +.align 32 +__crypton_poly1305_asm_init_avx: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + cmpl $-1,48(%rdi) + jne .Ldone_init_avx + + movq %r11,%r14 + movq %r12,%rbx + xorq %rbp,%rbp + + leaq 48+64(%rdi),%rdi + + movq %r12,%rax + call __crypton_poly1305_asm_block + + movl $0x3ffffff,%eax + movl $0x3ffffff,%edx + movq %r14,%r8 + andl %r14d,%eax + movq %r11,%r9 + andl %r11d,%edx + movl %eax,-64(%rdi) + shrq $26,%r8 + movl %edx,-60(%rdi) + shrq $26,%r9 + + movl $0x3ffffff,%eax + movl $0x3ffffff,%edx + andl %r8d,%eax + andl %r9d,%edx + movl %eax,-48(%rdi) + leal (%rax,%rax,4),%eax + movl %edx,-44(%rdi) + leal (%rdx,%rdx,4),%edx + movl %eax,-32(%rdi) + shrq $26,%r8 + movl %edx,-28(%rdi) + shrq $26,%r9 + + movq %rbx,%rax + movq %r12,%rdx + shlq $12,%rax + shlq $12,%rdx + orq %r8,%rax + orq %r9,%rdx + andl $0x3ffffff,%eax + andl $0x3ffffff,%edx + movl %eax,-16(%rdi) + leal (%rax,%rax,4),%eax + movl %edx,-12(%rdi) + leal (%rdx,%rdx,4),%edx + movl %eax,0(%rdi) + movq %rbx,%r8 + movl %edx,4(%rdi) + movq %r12,%r9 + + movl $0x3ffffff,%eax + movl $0x3ffffff,%edx + shrq $14,%r8 + shrq $14,%r9 + andl %r8d,%eax + andl %r9d,%edx + movl %eax,16(%rdi) + leal (%rax,%rax,4),%eax + movl %edx,20(%rdi) + leal (%rdx,%rdx,4),%edx + movl %eax,32(%rdi) + shrq $26,%r8 + movl %edx,36(%rdi) + shrq $26,%r9 + + movq %rbp,%rax + shlq $24,%rax + orq %rax,%r8 + movl %r8d,48(%rdi) + leaq (%r8,%r8,4),%r8 + movl %r9d,52(%rdi) + leaq (%r9,%r9,4),%r9 + movl %r8d,64(%rdi) + movl %r9d,68(%rdi) + + movq %r12,%rax + call __crypton_poly1305_asm_block + + movl $0x3ffffff,%eax + movq %r14,%r8 + andl %r14d,%eax + shrq $26,%r8 + movl %eax,-52(%rdi) + + movl $0x3ffffff,%edx + andl %r8d,%edx + movl %edx,-36(%rdi) + leal (%rdx,%rdx,4),%edx + shrq $26,%r8 + movl %edx,-20(%rdi) + + movq %rbx,%rax + shlq $12,%rax + orq %r8,%rax + andl $0x3ffffff,%eax + movl %eax,-4(%rdi) + leal (%rax,%rax,4),%eax + movq %rbx,%r8 + movl %eax,12(%rdi) + + movl $0x3ffffff,%edx + shrq $14,%r8 + andl %r8d,%edx + movl %edx,28(%rdi) + leal (%rdx,%rdx,4),%edx + shrq $26,%r8 + movl %edx,44(%rdi) + + movq %rbp,%rax + shlq $24,%rax + orq %rax,%r8 + movl %r8d,60(%rdi) + leaq (%r8,%r8,4),%r8 + movl %r8d,76(%rdi) + + movq %r12,%rax + call __crypton_poly1305_asm_block + + movl $0x3ffffff,%eax + movq %r14,%r8 + andl %r14d,%eax + shrq $26,%r8 + movl %eax,-56(%rdi) + + movl $0x3ffffff,%edx + andl %r8d,%edx + movl %edx,-40(%rdi) + leal (%rdx,%rdx,4),%edx + shrq $26,%r8 + movl %edx,-24(%rdi) + + movq %rbx,%rax + shlq $12,%rax + orq %r8,%rax + andl $0x3ffffff,%eax + movl %eax,-8(%rdi) + leal (%rax,%rax,4),%eax + movq %rbx,%r8 + movl %eax,8(%rdi) + + movl $0x3ffffff,%edx + shrq $14,%r8 + andl %r8d,%edx + movl %edx,24(%rdi) + leal (%rdx,%rdx,4),%edx + shrq $26,%r8 + movl %edx,40(%rdi) + + movq %rbp,%rax + shlq $24,%rax + orq %rax,%r8 + movl %r8d,56(%rdi) + leaq (%r8,%r8,4),%r8 + movl %r8d,72(%rdi) + + leaq -48-64(%rdi),%rdi +.Ldone_init_avx: + .byte 0xf3,0xc3 +.cfi_endproc +.size __crypton_poly1305_asm_init_avx,.-__crypton_poly1305_asm_init_avx + +.type crypton_poly1305_asm_blocks_avx,@function +.align 32 +crypton_poly1305_asm_blocks_avx: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + movl 20(%rdi),%r8d + cmpq $128,%rdx + jb .Lblocks + + andq $-16,%rdx + + vzeroupper + + testl %r8d,%r8d + jz .Lbase2_64_avx + + testq $31,%rdx + jz .Leven_avx + + pushq %rbx +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbx,-16 + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-24 + pushq %r12 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r15,-56 + leaq -8(%rsp),%rsp +.cfi_adjust_cfa_offset 8 +.Lblocks_avx_body: + + movq %rdx,%r15 + + movq 0(%rdi),%r8 + movq 8(%rdi),%r9 + movl 16(%rdi),%ebp + + movq 24(%rdi),%r11 + movq 32(%rdi),%r13 + + + movl %r8d,%r14d + andq $-2147483648,%r8 + movq %r9,%r12 + movl %r9d,%ebx + andq $-2147483648,%r9 + + shrq $6,%r8 + shlq $52,%r12 + addq %r8,%r14 + shrq $12,%rbx + shrq $18,%r9 + addq %r12,%r14 + adcq %r9,%rbx + + movq %rbp,%r8 + shlq $40,%r8 + shrq $24,%rbp + addq %r8,%rbx + adcq $0,%rbp + + movq %r13,%r12 + movq %r13,%rax + shrq $2,%r13 + addq %r12,%r13 + + addq 0(%rsi),%r14 + adcq 8(%rsi),%rbx + leaq 16(%rsi),%rsi + adcq %rcx,%rbp + + call __crypton_poly1305_asm_block + + + movq %r14,%rax + movq %r14,%rdx + shrq $52,%r14 + movq %rbx,%r11 + movq %rbx,%r12 + shrq $26,%rdx + andq $0x3ffffff,%rax + shlq $12,%r11 + andq $0x3ffffff,%rdx + shrq $14,%rbx + orq %r11,%r14 + shlq $24,%rbp + andq $0x3ffffff,%r14 + shrq $40,%r12 + andq $0x3ffffff,%rbx + orq %r12,%rbp + + vmovd %eax,%xmm0 + vmovd %edx,%xmm1 + vmovd %r14d,%xmm2 + vmovd %ebx,%xmm3 + vmovd %ebp,%xmm4 + + leaq -16(%r15),%rdx + + movq 8(%rsp),%r15 +.cfi_restore %r15 + movq 16(%rsp),%r14 +.cfi_restore %r14 + movq 24(%rsp),%r13 +.cfi_restore %r13 + movq 32(%rsp),%r12 +.cfi_restore %r12 + movq 40(%rsp),%rbp +.cfi_restore %rbp + movq 48(%rsp),%rbx +.cfi_restore %rbx + leaq 56(%rsp),%rax + leaq 56(%rsp),%rsp +.cfi_adjust_cfa_offset -56 +.Lblocks_avx_epilogue: + jmp .Ldo_avx +.cfi_endproc + +.align 32 +.Lbase2_64_avx: +.cfi_startproc + pushq %rbx +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbx,-16 + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-24 + pushq %r12 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r15,-56 + leaq -8(%rsp),%rsp +.cfi_adjust_cfa_offset 8 +.Lbase2_64_avx_body: + + movq %rdx,%r15 + + movq 24(%rdi),%r11 + movq 32(%rdi),%r13 + + movq 0(%rdi),%r14 + movq 8(%rdi),%rbx + movl 16(%rdi),%ebp + + movq %r13,%r12 + movq %r13,%rax + shrq $2,%r13 + addq %r12,%r13 + + testq $31,%rdx + jz .Linit_avx + + addq 0(%rsi),%r14 + adcq 8(%rsi),%rbx + leaq 16(%rsi),%rsi + adcq %rcx,%rbp + subq $16,%r15 + + call __crypton_poly1305_asm_block + +.Linit_avx: + + movq %r14,%rax + movq %r14,%rdx + shrq $52,%r14 + movq %rbx,%r8 + movq %rbx,%r9 + shrq $26,%rdx + andq $0x3ffffff,%rax + shlq $12,%r8 + andq $0x3ffffff,%rdx + shrq $14,%rbx + orq %r8,%r14 + shlq $24,%rbp + andq $0x3ffffff,%r14 + shrq $40,%r9 + andq $0x3ffffff,%rbx + orq %r9,%rbp + + vmovd %eax,%xmm0 + vmovd %edx,%xmm1 + vmovd %r14d,%xmm2 + vmovd %ebx,%xmm3 + vmovd %ebp,%xmm4 + movl $1,20(%rdi) + + call __crypton_poly1305_asm_init_avx + + movq %r15,%rdx + + movq 8(%rsp),%r15 +.cfi_restore %r15 + movq 16(%rsp),%r14 +.cfi_restore %r14 + movq 24(%rsp),%r13 +.cfi_restore %r13 + movq 32(%rsp),%r12 +.cfi_restore %r12 + movq 40(%rsp),%rbp +.cfi_restore %rbp + movq 48(%rsp),%rbx +.cfi_restore %rbx + leaq 56(%rsp),%rax + leaq 56(%rsp),%rsp +.cfi_adjust_cfa_offset -56 +.Lbase2_64_avx_epilogue: + jmp .Ldo_avx +.cfi_endproc + +.align 32 +.Leven_avx: +.cfi_startproc + vmovd 0(%rdi),%xmm0 + vmovd 4(%rdi),%xmm1 + vmovd 8(%rdi),%xmm2 + vmovd 12(%rdi),%xmm3 + vmovd 16(%rdi),%xmm4 + +.Ldo_avx: + leaq -88(%rsp),%r11 +.cfi_def_cfa %r11,0x60 + subq $0x178,%rsp + subq $64,%rdx + leaq -32(%rsi),%rax + cmovcq %rax,%rsi + + vmovdqu 48(%rdi),%xmm14 + leaq 112(%rdi),%rdi + leaq .Lconst(%rip),%rcx + + + + vmovdqu 32(%rsi),%xmm5 + vmovdqu 48(%rsi),%xmm6 + vmovdqa 64(%rcx),%xmm15 + + vpsrldq $6,%xmm5,%xmm7 + vpsrldq $6,%xmm6,%xmm8 + vpunpckhqdq %xmm6,%xmm5,%xmm9 + vpunpcklqdq %xmm6,%xmm5,%xmm5 + vpunpcklqdq %xmm8,%xmm7,%xmm8 + + vpsrlq $40,%xmm9,%xmm9 + vpsrlq $26,%xmm5,%xmm6 + vpand %xmm15,%xmm5,%xmm5 + vpsrlq $4,%xmm8,%xmm7 + vpand %xmm15,%xmm6,%xmm6 + vpsrlq $30,%xmm8,%xmm8 + vpand %xmm15,%xmm7,%xmm7 + vpand %xmm15,%xmm8,%xmm8 + vpor 32(%rcx),%xmm9,%xmm9 + + jbe .Lskip_loop_avx + + + vmovdqu -48(%rdi),%xmm11 + vmovdqu -32(%rdi),%xmm12 + vpshufd $0xEE,%xmm14,%xmm13 + vpshufd $0x44,%xmm14,%xmm10 + vmovdqa %xmm13,-144(%r11) + vmovdqa %xmm10,0(%rsp) + vpshufd $0xEE,%xmm11,%xmm14 + vmovdqu -16(%rdi),%xmm10 + vpshufd $0x44,%xmm11,%xmm11 + vmovdqa %xmm14,-128(%r11) + vmovdqa %xmm11,16(%rsp) + vpshufd $0xEE,%xmm12,%xmm13 + vmovdqu 0(%rdi),%xmm11 + vpshufd $0x44,%xmm12,%xmm12 + vmovdqa %xmm13,-112(%r11) + vmovdqa %xmm12,32(%rsp) + vpshufd $0xEE,%xmm10,%xmm14 + vmovdqu 16(%rdi),%xmm12 + vpshufd $0x44,%xmm10,%xmm10 + vmovdqa %xmm14,-96(%r11) + vmovdqa %xmm10,48(%rsp) + vpshufd $0xEE,%xmm11,%xmm13 + vmovdqu 32(%rdi),%xmm10 + vpshufd $0x44,%xmm11,%xmm11 + vmovdqa %xmm13,-80(%r11) + vmovdqa %xmm11,64(%rsp) + vpshufd $0xEE,%xmm12,%xmm14 + vmovdqu 48(%rdi),%xmm11 + vpshufd $0x44,%xmm12,%xmm12 + vmovdqa %xmm14,-64(%r11) + vmovdqa %xmm12,80(%rsp) + vpshufd $0xEE,%xmm10,%xmm13 + vmovdqu 64(%rdi),%xmm12 + vpshufd $0x44,%xmm10,%xmm10 + vmovdqa %xmm13,-48(%r11) + vmovdqa %xmm10,96(%rsp) + vpshufd $0xEE,%xmm11,%xmm14 + vpshufd $0x44,%xmm11,%xmm11 + vmovdqa %xmm14,-32(%r11) + vmovdqa %xmm11,112(%rsp) + vpshufd $0xEE,%xmm12,%xmm13 + vmovdqa 0(%rsp),%xmm14 + vpshufd $0x44,%xmm12,%xmm12 + vmovdqa %xmm13,-16(%r11) + vmovdqa %xmm12,128(%rsp) + + jmp .Loop_avx + +.align 32 +.Loop_avx: + + + + + + + + + + + + + + + + + + + + + vpmuludq %xmm5,%xmm14,%xmm10 + vpmuludq %xmm6,%xmm14,%xmm11 + vmovdqa %xmm2,32(%r11) + vpmuludq %xmm7,%xmm14,%xmm12 + vmovdqa 16(%rsp),%xmm2 + vpmuludq %xmm8,%xmm14,%xmm13 + vpmuludq %xmm9,%xmm14,%xmm14 + + vmovdqa %xmm0,0(%r11) + vpmuludq 32(%rsp),%xmm9,%xmm0 + vmovdqa %xmm1,16(%r11) + vpmuludq %xmm8,%xmm2,%xmm1 + vpaddq %xmm0,%xmm10,%xmm10 + vpaddq %xmm1,%xmm14,%xmm14 + vmovdqa %xmm3,48(%r11) + vpmuludq %xmm7,%xmm2,%xmm0 + vpmuludq %xmm6,%xmm2,%xmm1 + vpaddq %xmm0,%xmm13,%xmm13 + vmovdqa 48(%rsp),%xmm3 + vpaddq %xmm1,%xmm12,%xmm12 + vmovdqa %xmm4,64(%r11) + vpmuludq %xmm5,%xmm2,%xmm2 + vpmuludq %xmm7,%xmm3,%xmm0 + vpaddq %xmm2,%xmm11,%xmm11 + + vmovdqa 64(%rsp),%xmm4 + vpaddq %xmm0,%xmm14,%xmm14 + vpmuludq %xmm6,%xmm3,%xmm1 + vpmuludq %xmm5,%xmm3,%xmm3 + vpaddq %xmm1,%xmm13,%xmm13 + vmovdqa 80(%rsp),%xmm2 + vpaddq %xmm3,%xmm12,%xmm12 + vpmuludq %xmm9,%xmm4,%xmm0 + vpmuludq %xmm8,%xmm4,%xmm4 + vpaddq %xmm0,%xmm11,%xmm11 + vmovdqa 96(%rsp),%xmm3 + vpaddq %xmm4,%xmm10,%xmm10 + + vmovdqa 128(%rsp),%xmm4 + vpmuludq %xmm6,%xmm2,%xmm1 + vpmuludq %xmm5,%xmm2,%xmm2 + vpaddq %xmm1,%xmm14,%xmm14 + vpaddq %xmm2,%xmm13,%xmm13 + vpmuludq %xmm9,%xmm3,%xmm0 + vpmuludq %xmm8,%xmm3,%xmm1 + vpaddq %xmm0,%xmm12,%xmm12 + vmovdqu 0(%rsi),%xmm0 + vpaddq %xmm1,%xmm11,%xmm11 + vpmuludq %xmm7,%xmm3,%xmm3 + vpmuludq %xmm7,%xmm4,%xmm7 + vpaddq %xmm3,%xmm10,%xmm10 + + vmovdqu 16(%rsi),%xmm1 + vpaddq %xmm7,%xmm11,%xmm11 + vpmuludq %xmm8,%xmm4,%xmm8 + vpmuludq %xmm9,%xmm4,%xmm9 + vpsrldq $6,%xmm0,%xmm2 + vpaddq %xmm8,%xmm12,%xmm12 + vpaddq %xmm9,%xmm13,%xmm13 + vpsrldq $6,%xmm1,%xmm3 + vpmuludq 112(%rsp),%xmm5,%xmm9 + vpmuludq %xmm6,%xmm4,%xmm5 + vpunpckhqdq %xmm1,%xmm0,%xmm4 + vpaddq %xmm9,%xmm14,%xmm14 + vmovdqa -144(%r11),%xmm9 + vpaddq %xmm5,%xmm10,%xmm10 + + vpunpcklqdq %xmm1,%xmm0,%xmm0 + vpunpcklqdq %xmm3,%xmm2,%xmm3 + + + vpsrldq $5,%xmm4,%xmm4 + vpsrlq $26,%xmm0,%xmm1 + vpand %xmm15,%xmm0,%xmm0 + vpsrlq $4,%xmm3,%xmm2 + vpand %xmm15,%xmm1,%xmm1 + vpand 0(%rcx),%xmm4,%xmm4 + vpsrlq $30,%xmm3,%xmm3 + vpand %xmm15,%xmm2,%xmm2 + vpand %xmm15,%xmm3,%xmm3 + vpor 32(%rcx),%xmm4,%xmm4 + + vpaddq 0(%r11),%xmm0,%xmm0 + vpaddq 16(%r11),%xmm1,%xmm1 + vpaddq 32(%r11),%xmm2,%xmm2 + vpaddq 48(%r11),%xmm3,%xmm3 + vpaddq 64(%r11),%xmm4,%xmm4 + + leaq 32(%rsi),%rax + leaq 64(%rsi),%rsi + subq $64,%rdx + cmovcq %rax,%rsi + + + + + + + + + + + vpmuludq %xmm0,%xmm9,%xmm5 + vpmuludq %xmm1,%xmm9,%xmm6 + vpaddq %xmm5,%xmm10,%xmm10 + vpaddq %xmm6,%xmm11,%xmm11 + vmovdqa -128(%r11),%xmm7 + vpmuludq %xmm2,%xmm9,%xmm5 + vpmuludq %xmm3,%xmm9,%xmm6 + vpaddq %xmm5,%xmm12,%xmm12 + vpaddq %xmm6,%xmm13,%xmm13 + vpmuludq %xmm4,%xmm9,%xmm9 + vpmuludq -112(%r11),%xmm4,%xmm5 + vpaddq %xmm9,%xmm14,%xmm14 + + vpaddq %xmm5,%xmm10,%xmm10 + vpmuludq %xmm2,%xmm7,%xmm6 + vpmuludq %xmm3,%xmm7,%xmm5 + vpaddq %xmm6,%xmm13,%xmm13 + vmovdqa -96(%r11),%xmm8 + vpaddq %xmm5,%xmm14,%xmm14 + vpmuludq %xmm1,%xmm7,%xmm6 + vpmuludq %xmm0,%xmm7,%xmm7 + vpaddq %xmm6,%xmm12,%xmm12 + vpaddq %xmm7,%xmm11,%xmm11 + + vmovdqa -80(%r11),%xmm9 + vpmuludq %xmm2,%xmm8,%xmm5 + vpmuludq %xmm1,%xmm8,%xmm6 + vpaddq %xmm5,%xmm14,%xmm14 + vpaddq %xmm6,%xmm13,%xmm13 + vmovdqa -64(%r11),%xmm7 + vpmuludq %xmm0,%xmm8,%xmm8 + vpmuludq %xmm4,%xmm9,%xmm5 + vpaddq %xmm8,%xmm12,%xmm12 + vpaddq %xmm5,%xmm11,%xmm11 + vmovdqa -48(%r11),%xmm8 + vpmuludq %xmm3,%xmm9,%xmm9 + vpmuludq %xmm1,%xmm7,%xmm6 + vpaddq %xmm9,%xmm10,%xmm10 + + vmovdqa -16(%r11),%xmm9 + vpaddq %xmm6,%xmm14,%xmm14 + vpmuludq %xmm0,%xmm7,%xmm7 + vpmuludq %xmm4,%xmm8,%xmm5 + vpaddq %xmm7,%xmm13,%xmm13 + vpaddq %xmm5,%xmm12,%xmm12 + vmovdqu 32(%rsi),%xmm5 + vpmuludq %xmm3,%xmm8,%xmm7 + vpmuludq %xmm2,%xmm8,%xmm8 + vpaddq %xmm7,%xmm11,%xmm11 + vmovdqu 48(%rsi),%xmm6 + vpaddq %xmm8,%xmm10,%xmm10 + + vpmuludq %xmm2,%xmm9,%xmm2 + vpmuludq %xmm3,%xmm9,%xmm3 + vpsrldq $6,%xmm5,%xmm7 + vpaddq %xmm2,%xmm11,%xmm11 + vpmuludq %xmm4,%xmm9,%xmm4 + vpsrldq $6,%xmm6,%xmm8 + vpaddq %xmm3,%xmm12,%xmm2 + vpaddq %xmm4,%xmm13,%xmm3 + vpmuludq -32(%r11),%xmm0,%xmm4 + vpmuludq %xmm1,%xmm9,%xmm0 + vpunpckhqdq %xmm6,%xmm5,%xmm9 + vpaddq %xmm4,%xmm14,%xmm4 + vpaddq %xmm0,%xmm10,%xmm0 + + vpunpcklqdq %xmm6,%xmm5,%xmm5 + vpunpcklqdq %xmm8,%xmm7,%xmm8 + + + vpsrldq $5,%xmm9,%xmm9 + vpsrlq $26,%xmm5,%xmm6 + vmovdqa 0(%rsp),%xmm14 + vpand %xmm15,%xmm5,%xmm5 + vpsrlq $4,%xmm8,%xmm7 + vpand %xmm15,%xmm6,%xmm6 + vpand 0(%rcx),%xmm9,%xmm9 + vpsrlq $30,%xmm8,%xmm8 + vpand %xmm15,%xmm7,%xmm7 + vpand %xmm15,%xmm8,%xmm8 + vpor 32(%rcx),%xmm9,%xmm9 + + + + + + vpsrlq $26,%xmm3,%xmm13 + vpand %xmm15,%xmm3,%xmm3 + vpaddq %xmm13,%xmm4,%xmm4 + + vpsrlq $26,%xmm0,%xmm10 + vpand %xmm15,%xmm0,%xmm0 + vpaddq %xmm10,%xmm11,%xmm1 + + vpsrlq $26,%xmm4,%xmm10 + vpand %xmm15,%xmm4,%xmm4 + + vpsrlq $26,%xmm1,%xmm11 + vpand %xmm15,%xmm1,%xmm1 + vpaddq %xmm11,%xmm2,%xmm2 + + vpaddq %xmm10,%xmm0,%xmm0 + vpsllq $2,%xmm10,%xmm10 + vpaddq %xmm10,%xmm0,%xmm0 + + vpsrlq $26,%xmm2,%xmm12 + vpand %xmm15,%xmm2,%xmm2 + vpaddq %xmm12,%xmm3,%xmm3 + + vpsrlq $26,%xmm0,%xmm10 + vpand %xmm15,%xmm0,%xmm0 + vpaddq %xmm10,%xmm1,%xmm1 + + vpsrlq $26,%xmm3,%xmm13 + vpand %xmm15,%xmm3,%xmm3 + vpaddq %xmm13,%xmm4,%xmm4 + + ja .Loop_avx + +.Lskip_loop_avx: + + + + vpshufd $0x10,%xmm14,%xmm14 + addq $32,%rdx + jnz .Long_tail_avx + + vpaddq %xmm2,%xmm7,%xmm7 + vpaddq %xmm0,%xmm5,%xmm5 + vpaddq %xmm1,%xmm6,%xmm6 + vpaddq %xmm3,%xmm8,%xmm8 + vpaddq %xmm4,%xmm9,%xmm9 + +.Long_tail_avx: + vmovdqa %xmm2,32(%r11) + vmovdqa %xmm0,0(%r11) + vmovdqa %xmm1,16(%r11) + vmovdqa %xmm3,48(%r11) + vmovdqa %xmm4,64(%r11) + + + + + + + + vpmuludq %xmm7,%xmm14,%xmm12 + vpmuludq %xmm5,%xmm14,%xmm10 + vpshufd $0x10,-48(%rdi),%xmm2 + vpmuludq %xmm6,%xmm14,%xmm11 + vpmuludq %xmm8,%xmm14,%xmm13 + vpmuludq %xmm9,%xmm14,%xmm14 + + vpmuludq %xmm8,%xmm2,%xmm0 + vpaddq %xmm0,%xmm14,%xmm14 + vpshufd $0x10,-32(%rdi),%xmm3 + vpmuludq %xmm7,%xmm2,%xmm1 + vpaddq %xmm1,%xmm13,%xmm13 + vpshufd $0x10,-16(%rdi),%xmm4 + vpmuludq %xmm6,%xmm2,%xmm0 + vpaddq %xmm0,%xmm12,%xmm12 + vpmuludq %xmm5,%xmm2,%xmm2 + vpaddq %xmm2,%xmm11,%xmm11 + vpmuludq %xmm9,%xmm3,%xmm3 + vpaddq %xmm3,%xmm10,%xmm10 + + vpshufd $0x10,0(%rdi),%xmm2 + vpmuludq %xmm7,%xmm4,%xmm1 + vpaddq %xmm1,%xmm14,%xmm14 + vpmuludq %xmm6,%xmm4,%xmm0 + vpaddq %xmm0,%xmm13,%xmm13 + vpshufd $0x10,16(%rdi),%xmm3 + vpmuludq %xmm5,%xmm4,%xmm4 + vpaddq %xmm4,%xmm12,%xmm12 + vpmuludq %xmm9,%xmm2,%xmm1 + vpaddq %xmm1,%xmm11,%xmm11 + vpshufd $0x10,32(%rdi),%xmm4 + vpmuludq %xmm8,%xmm2,%xmm2 + vpaddq %xmm2,%xmm10,%xmm10 + + vpmuludq %xmm6,%xmm3,%xmm0 + vpaddq %xmm0,%xmm14,%xmm14 + vpmuludq %xmm5,%xmm3,%xmm3 + vpaddq %xmm3,%xmm13,%xmm13 + vpshufd $0x10,48(%rdi),%xmm2 + vpmuludq %xmm9,%xmm4,%xmm1 + vpaddq %xmm1,%xmm12,%xmm12 + vpshufd $0x10,64(%rdi),%xmm3 + vpmuludq %xmm8,%xmm4,%xmm0 + vpaddq %xmm0,%xmm11,%xmm11 + vpmuludq %xmm7,%xmm4,%xmm4 + vpaddq %xmm4,%xmm10,%xmm10 + + vpmuludq %xmm5,%xmm2,%xmm2 + vpaddq %xmm2,%xmm14,%xmm14 + vpmuludq %xmm9,%xmm3,%xmm1 + vpaddq %xmm1,%xmm13,%xmm13 + vpmuludq %xmm8,%xmm3,%xmm0 + vpaddq %xmm0,%xmm12,%xmm12 + vpmuludq %xmm7,%xmm3,%xmm1 + vpaddq %xmm1,%xmm11,%xmm11 + vpmuludq %xmm6,%xmm3,%xmm3 + vpaddq %xmm3,%xmm10,%xmm10 + + jz .Lshort_tail_avx + + vmovdqu 0(%rsi),%xmm0 + vmovdqu 16(%rsi),%xmm1 + + vpsrldq $6,%xmm0,%xmm2 + vpsrldq $6,%xmm1,%xmm3 + vpunpckhqdq %xmm1,%xmm0,%xmm4 + vpunpcklqdq %xmm1,%xmm0,%xmm0 + vpunpcklqdq %xmm3,%xmm2,%xmm3 + + vpsrlq $40,%xmm4,%xmm4 + vpsrlq $26,%xmm0,%xmm1 + vpand %xmm15,%xmm0,%xmm0 + vpsrlq $4,%xmm3,%xmm2 + vpand %xmm15,%xmm1,%xmm1 + vpsrlq $30,%xmm3,%xmm3 + vpand %xmm15,%xmm2,%xmm2 + vpand %xmm15,%xmm3,%xmm3 + vpor 32(%rcx),%xmm4,%xmm4 + + vpshufd $0x32,-64(%rdi),%xmm9 + vpaddq 0(%r11),%xmm0,%xmm0 + vpaddq 16(%r11),%xmm1,%xmm1 + vpaddq 32(%r11),%xmm2,%xmm2 + vpaddq 48(%r11),%xmm3,%xmm3 + vpaddq 64(%r11),%xmm4,%xmm4 + + + + + vpmuludq %xmm0,%xmm9,%xmm5 + vpaddq %xmm5,%xmm10,%xmm10 + vpmuludq %xmm1,%xmm9,%xmm6 + vpaddq %xmm6,%xmm11,%xmm11 + vpmuludq %xmm2,%xmm9,%xmm5 + vpaddq %xmm5,%xmm12,%xmm12 + vpshufd $0x32,-48(%rdi),%xmm7 + vpmuludq %xmm3,%xmm9,%xmm6 + vpaddq %xmm6,%xmm13,%xmm13 + vpmuludq %xmm4,%xmm9,%xmm9 + vpaddq %xmm9,%xmm14,%xmm14 + + vpmuludq %xmm3,%xmm7,%xmm5 + vpaddq %xmm5,%xmm14,%xmm14 + vpshufd $0x32,-32(%rdi),%xmm8 + vpmuludq %xmm2,%xmm7,%xmm6 + vpaddq %xmm6,%xmm13,%xmm13 + vpshufd $0x32,-16(%rdi),%xmm9 + vpmuludq %xmm1,%xmm7,%xmm5 + vpaddq %xmm5,%xmm12,%xmm12 + vpmuludq %xmm0,%xmm7,%xmm7 + vpaddq %xmm7,%xmm11,%xmm11 + vpmuludq %xmm4,%xmm8,%xmm8 + vpaddq %xmm8,%xmm10,%xmm10 + + vpshufd $0x32,0(%rdi),%xmm7 + vpmuludq %xmm2,%xmm9,%xmm6 + vpaddq %xmm6,%xmm14,%xmm14 + vpmuludq %xmm1,%xmm9,%xmm5 + vpaddq %xmm5,%xmm13,%xmm13 + vpshufd $0x32,16(%rdi),%xmm8 + vpmuludq %xmm0,%xmm9,%xmm9 + vpaddq %xmm9,%xmm12,%xmm12 + vpmuludq %xmm4,%xmm7,%xmm6 + vpaddq %xmm6,%xmm11,%xmm11 + vpshufd $0x32,32(%rdi),%xmm9 + vpmuludq %xmm3,%xmm7,%xmm7 + vpaddq %xmm7,%xmm10,%xmm10 + + vpmuludq %xmm1,%xmm8,%xmm5 + vpaddq %xmm5,%xmm14,%xmm14 + vpmuludq %xmm0,%xmm8,%xmm8 + vpaddq %xmm8,%xmm13,%xmm13 + vpshufd $0x32,48(%rdi),%xmm7 + vpmuludq %xmm4,%xmm9,%xmm6 + vpaddq %xmm6,%xmm12,%xmm12 + vpshufd $0x32,64(%rdi),%xmm8 + vpmuludq %xmm3,%xmm9,%xmm5 + vpaddq %xmm5,%xmm11,%xmm11 + vpmuludq %xmm2,%xmm9,%xmm9 + vpaddq %xmm9,%xmm10,%xmm10 + + vpmuludq %xmm0,%xmm7,%xmm7 + vpaddq %xmm7,%xmm14,%xmm14 + vpmuludq %xmm4,%xmm8,%xmm6 + vpaddq %xmm6,%xmm13,%xmm13 + vpmuludq %xmm3,%xmm8,%xmm5 + vpaddq %xmm5,%xmm12,%xmm12 + vpmuludq %xmm2,%xmm8,%xmm6 + vpaddq %xmm6,%xmm11,%xmm11 + vpmuludq %xmm1,%xmm8,%xmm8 + vpaddq %xmm8,%xmm10,%xmm10 + +.Lshort_tail_avx: + + + + vpsrldq $8,%xmm14,%xmm9 + vpsrldq $8,%xmm13,%xmm8 + vpsrldq $8,%xmm11,%xmm6 + vpsrldq $8,%xmm10,%xmm5 + vpsrldq $8,%xmm12,%xmm7 + vpaddq %xmm8,%xmm13,%xmm13 + vpaddq %xmm9,%xmm14,%xmm14 + vpaddq %xmm5,%xmm10,%xmm10 + vpaddq %xmm6,%xmm11,%xmm11 + vpaddq %xmm7,%xmm12,%xmm12 + + + + + vpsrlq $26,%xmm13,%xmm3 + vpand %xmm15,%xmm13,%xmm13 + vpaddq %xmm3,%xmm14,%xmm14 + + vpsrlq $26,%xmm10,%xmm0 + vpand %xmm15,%xmm10,%xmm10 + vpaddq %xmm0,%xmm11,%xmm11 + + vpsrlq $26,%xmm14,%xmm4 + vpand %xmm15,%xmm14,%xmm14 + + vpsrlq $26,%xmm11,%xmm1 + vpand %xmm15,%xmm11,%xmm11 + vpaddq %xmm1,%xmm12,%xmm12 + + vpaddq %xmm4,%xmm10,%xmm10 + vpsllq $2,%xmm4,%xmm4 + vpaddq %xmm4,%xmm10,%xmm10 + + vpsrlq $26,%xmm12,%xmm2 + vpand %xmm15,%xmm12,%xmm12 + vpaddq %xmm2,%xmm13,%xmm13 + + vpsrlq $26,%xmm10,%xmm0 + vpand %xmm15,%xmm10,%xmm10 + vpaddq %xmm0,%xmm11,%xmm11 + + vpsrlq $26,%xmm13,%xmm3 + vpand %xmm15,%xmm13,%xmm13 + vpaddq %xmm3,%xmm14,%xmm14 + + vmovd %xmm10,-112(%rdi) + vmovd %xmm11,-108(%rdi) + vmovd %xmm12,-104(%rdi) + vmovd %xmm13,-100(%rdi) + vmovd %xmm14,-96(%rdi) + leaq 88(%r11),%rsp +.cfi_def_cfa %rsp,8 + vzeroupper + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_poly1305_asm_blocks_avx,.-crypton_poly1305_asm_blocks_avx +.type crypton_poly1305_asm_blocks_avx2,@function +.align 32 +crypton_poly1305_asm_blocks_avx2: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + movl 20(%rdi),%r8d + cmpq $128,%rdx + jb .Lblocks + + andq $-16,%rdx + + vzeroupper + + testl %r8d,%r8d + jz .Lbase2_64_avx2 + + testq $63,%rdx + jz .Leven_avx2 + + pushq %rbx +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbx,-16 + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-24 + pushq %r12 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r15,-56 + leaq -8(%rsp),%rsp +.cfi_adjust_cfa_offset 8 +.Lblocks_avx2_body: + + movq %rdx,%r15 + + movq 0(%rdi),%r8 + movq 8(%rdi),%r9 + movl 16(%rdi),%ebp + + movq 24(%rdi),%r11 + movq 32(%rdi),%r13 + + + movl %r8d,%r14d + andq $-2147483648,%r8 + movq %r9,%r12 + movl %r9d,%ebx + andq $-2147483648,%r9 + + shrq $6,%r8 + shlq $52,%r12 + addq %r8,%r14 + shrq $12,%rbx + shrq $18,%r9 + addq %r12,%r14 + adcq %r9,%rbx + + movq %rbp,%r8 + shlq $40,%r8 + shrq $24,%rbp + addq %r8,%rbx + adcq $0,%rbp + + movq %r13,%r12 + movq %r13,%rax + shrq $2,%r13 + addq %r12,%r13 + +.Lbase2_26_pre_avx2: + addq 0(%rsi),%r14 + adcq 8(%rsi),%rbx + leaq 16(%rsi),%rsi + adcq %rcx,%rbp + subq $16,%r15 + + call __crypton_poly1305_asm_block + movq %r12,%rax + + testq $63,%r15 + jnz .Lbase2_26_pre_avx2 + + + movq %r14,%rax + movq %r14,%rdx + shrq $52,%r14 + movq %rbx,%r11 + movq %rbx,%r12 + shrq $26,%rdx + andq $0x3ffffff,%rax + shlq $12,%r11 + andq $0x3ffffff,%rdx + shrq $14,%rbx + orq %r11,%r14 + shlq $24,%rbp + andq $0x3ffffff,%r14 + shrq $40,%r12 + andq $0x3ffffff,%rbx + orq %r12,%rbp + + vmovd %eax,%xmm0 + vmovd %edx,%xmm1 + vmovd %r14d,%xmm2 + vmovd %ebx,%xmm3 + vmovd %ebp,%xmm4 + + movq %r15,%rdx + + movq 8(%rsp),%r15 +.cfi_restore %r15 + movq 16(%rsp),%r14 +.cfi_restore %r14 + movq 24(%rsp),%r13 +.cfi_restore %r13 + movq 32(%rsp),%r12 +.cfi_restore %r12 + movq 40(%rsp),%rbp +.cfi_restore %rbp + movq 48(%rsp),%rbx +.cfi_restore %rbx + leaq 56(%rsp),%rax + leaq 56(%rsp),%rsp +.cfi_adjust_cfa_offset -56 +.Lblocks_avx2_epilogue: + jmp .Ldo_avx2 +.cfi_endproc + +.align 32 +.Lbase2_64_avx2: +.cfi_startproc + pushq %rbx +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbx,-16 + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-24 + pushq %r12 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r15,-56 + leaq -8(%rsp),%rsp +.cfi_adjust_cfa_offset 8 +.Lbase2_64_avx2_body: + + movq %rdx,%r15 + + movq 24(%rdi),%r11 + movq 32(%rdi),%r13 + + movq 0(%rdi),%r14 + movq 8(%rdi),%rbx + movl 16(%rdi),%ebp + + movq %r13,%r12 + movq %r13,%rax + shrq $2,%r13 + addq %r12,%r13 + + testq $63,%rdx + jz .Linit_avx2 + +.Lbase2_64_pre_avx2: + addq 0(%rsi),%r14 + adcq 8(%rsi),%rbx + leaq 16(%rsi),%rsi + adcq %rcx,%rbp + subq $16,%r15 + + call __crypton_poly1305_asm_block + movq %r12,%rax + + testq $63,%r15 + jnz .Lbase2_64_pre_avx2 + +.Linit_avx2: + + movq %r14,%rax + movq %r14,%rdx + shrq $52,%r14 + movq %rbx,%r8 + movq %rbx,%r9 + shrq $26,%rdx + andq $0x3ffffff,%rax + shlq $12,%r8 + andq $0x3ffffff,%rdx + shrq $14,%rbx + orq %r8,%r14 + shlq $24,%rbp + andq $0x3ffffff,%r14 + shrq $40,%r9 + andq $0x3ffffff,%rbx + orq %r9,%rbp + + vmovd %eax,%xmm0 + vmovd %edx,%xmm1 + vmovd %r14d,%xmm2 + vmovd %ebx,%xmm3 + vmovd %ebp,%xmm4 + movl $1,20(%rdi) + + call __crypton_poly1305_asm_init_avx + + movq %r15,%rdx + + movq 8(%rsp),%r15 +.cfi_restore %r15 + movq 16(%rsp),%r14 +.cfi_restore %r14 + movq 24(%rsp),%r13 +.cfi_restore %r13 + movq 32(%rsp),%r12 +.cfi_restore %r12 + movq 40(%rsp),%rbp +.cfi_restore %rbp + movq 48(%rsp),%rbx +.cfi_restore %rbx + leaq 56(%rsp),%rax + leaq 56(%rsp),%rsp +.cfi_adjust_cfa_offset -56 +.Lbase2_64_avx2_epilogue: + jmp .Ldo_avx2 +.cfi_endproc + +.align 32 +.Leven_avx2: +.cfi_startproc + vmovd 0(%rdi),%xmm0 + vmovd 4(%rdi),%xmm1 + vmovd 8(%rdi),%xmm2 + vmovd 12(%rdi),%xmm3 + vmovd 16(%rdi),%xmm4 + +.Ldo_avx2: + leaq -8(%rsp),%r11 +.cfi_def_cfa %r11,16 + subq $0x128,%rsp + leaq .Lconst(%rip),%rcx + leaq 48+64(%rdi),%rdi + vmovdqa 96(%rcx),%ymm7 + + + vmovdqu -64(%rdi),%xmm9 + andq $-512,%rsp + vmovdqu -48(%rdi),%xmm10 + vmovdqu -32(%rdi),%xmm6 + vmovdqu -16(%rdi),%xmm11 + vmovdqu 0(%rdi),%xmm12 + vmovdqu 16(%rdi),%xmm13 + leaq 144(%rsp),%rax + vmovdqu 32(%rdi),%xmm14 + vpermd %ymm9,%ymm7,%ymm9 + vmovdqu 48(%rdi),%xmm15 + vpermd %ymm10,%ymm7,%ymm10 + vmovdqu 64(%rdi),%xmm5 + vpermd %ymm6,%ymm7,%ymm6 + vmovdqa %ymm9,0(%rsp) + vpermd %ymm11,%ymm7,%ymm11 + vmovdqa %ymm10,32-144(%rax) + vpermd %ymm12,%ymm7,%ymm12 + vmovdqa %ymm6,64-144(%rax) + vpermd %ymm13,%ymm7,%ymm13 + vmovdqa %ymm11,96-144(%rax) + vpermd %ymm14,%ymm7,%ymm14 + vmovdqa %ymm12,128-144(%rax) + vpermd %ymm15,%ymm7,%ymm15 + vmovdqa %ymm13,160-144(%rax) + vpermd %ymm5,%ymm7,%ymm5 + vmovdqa %ymm14,192-144(%rax) + vmovdqa %ymm15,224-144(%rax) + vmovdqa %ymm5,256-144(%rax) + vmovdqa 64(%rcx),%ymm5 + + + + vmovdqu 0(%rsi),%xmm7 + vmovdqu 16(%rsi),%xmm8 + vinserti128 $1,32(%rsi),%ymm7,%ymm7 + vinserti128 $1,48(%rsi),%ymm8,%ymm8 + leaq 64(%rsi),%rsi + + vpsrldq $6,%ymm7,%ymm9 + vpsrldq $6,%ymm8,%ymm10 + vpunpckhqdq %ymm8,%ymm7,%ymm6 + vpunpcklqdq %ymm10,%ymm9,%ymm9 + vpunpcklqdq %ymm8,%ymm7,%ymm7 + + vpsrlq $30,%ymm9,%ymm10 + vpsrlq $4,%ymm9,%ymm9 + vpsrlq $26,%ymm7,%ymm8 + vpsrlq $40,%ymm6,%ymm6 + vpand %ymm5,%ymm9,%ymm9 + vpand %ymm5,%ymm7,%ymm7 + vpand %ymm5,%ymm8,%ymm8 + vpand %ymm5,%ymm10,%ymm10 + vpor 32(%rcx),%ymm6,%ymm6 + + vpaddq %ymm2,%ymm9,%ymm2 + subq $64,%rdx + jz .Ltail_avx2 + jmp .Loop_avx2 + +.align 32 +.Loop_avx2: + + + + + + + + + vpaddq %ymm0,%ymm7,%ymm0 + vmovdqa 0(%rsp),%ymm7 + vpaddq %ymm1,%ymm8,%ymm1 + vmovdqa 32(%rsp),%ymm8 + vpaddq %ymm3,%ymm10,%ymm3 + vmovdqa 96(%rsp),%ymm9 + vpaddq %ymm4,%ymm6,%ymm4 + vmovdqa 48(%rax),%ymm10 + vmovdqa 112(%rax),%ymm5 + + + + + + + + + + + + + + + + + vpmuludq %ymm2,%ymm7,%ymm13 + vpmuludq %ymm2,%ymm8,%ymm14 + vpmuludq %ymm2,%ymm9,%ymm15 + vpmuludq %ymm2,%ymm10,%ymm11 + vpmuludq %ymm2,%ymm5,%ymm12 + + vpmuludq %ymm0,%ymm8,%ymm6 + vpmuludq %ymm1,%ymm8,%ymm2 + vpaddq %ymm6,%ymm12,%ymm12 + vpaddq %ymm2,%ymm13,%ymm13 + vpmuludq %ymm3,%ymm8,%ymm6 + vpmuludq 64(%rsp),%ymm4,%ymm2 + vpaddq %ymm6,%ymm15,%ymm15 + vpaddq %ymm2,%ymm11,%ymm11 + vmovdqa -16(%rax),%ymm8 + + vpmuludq %ymm0,%ymm7,%ymm6 + vpmuludq %ymm1,%ymm7,%ymm2 + vpaddq %ymm6,%ymm11,%ymm11 + vpaddq %ymm2,%ymm12,%ymm12 + vpmuludq %ymm3,%ymm7,%ymm6 + vpmuludq %ymm4,%ymm7,%ymm2 + vmovdqu 0(%rsi),%xmm7 + vpaddq %ymm6,%ymm14,%ymm14 + vpaddq %ymm2,%ymm15,%ymm15 + vinserti128 $1,32(%rsi),%ymm7,%ymm7 + + vpmuludq %ymm3,%ymm8,%ymm6 + vpmuludq %ymm4,%ymm8,%ymm2 + vmovdqu 16(%rsi),%xmm8 + vpaddq %ymm6,%ymm11,%ymm11 + vpaddq %ymm2,%ymm12,%ymm12 + vmovdqa 16(%rax),%ymm2 + vpmuludq %ymm1,%ymm9,%ymm6 + vpmuludq %ymm0,%ymm9,%ymm9 + vpaddq %ymm6,%ymm14,%ymm14 + vpaddq %ymm9,%ymm13,%ymm13 + vinserti128 $1,48(%rsi),%ymm8,%ymm8 + leaq 64(%rsi),%rsi + + vpmuludq %ymm1,%ymm2,%ymm6 + vpmuludq %ymm0,%ymm2,%ymm2 + vpsrldq $6,%ymm7,%ymm9 + vpaddq %ymm6,%ymm15,%ymm15 + vpaddq %ymm2,%ymm14,%ymm14 + vpmuludq %ymm3,%ymm10,%ymm6 + vpmuludq %ymm4,%ymm10,%ymm2 + vpsrldq $6,%ymm8,%ymm10 + vpaddq %ymm6,%ymm12,%ymm12 + vpaddq %ymm2,%ymm13,%ymm13 + vpunpckhqdq %ymm8,%ymm7,%ymm6 + + vpmuludq %ymm3,%ymm5,%ymm3 + vpmuludq %ymm4,%ymm5,%ymm4 + vpunpcklqdq %ymm8,%ymm7,%ymm7 + vpaddq %ymm3,%ymm13,%ymm2 + vpaddq %ymm4,%ymm14,%ymm3 + vpunpcklqdq %ymm10,%ymm9,%ymm10 + vpmuludq 80(%rax),%ymm0,%ymm4 + vpmuludq %ymm1,%ymm5,%ymm0 + vmovdqa 64(%rcx),%ymm5 + vpaddq %ymm4,%ymm15,%ymm4 + vpaddq %ymm0,%ymm11,%ymm0 + + + + + vpsrlq $26,%ymm3,%ymm14 + vpand %ymm5,%ymm3,%ymm3 + vpaddq %ymm14,%ymm4,%ymm4 + + vpsrlq $26,%ymm0,%ymm11 + vpand %ymm5,%ymm0,%ymm0 + vpaddq %ymm11,%ymm12,%ymm1 + + vpsrlq $26,%ymm4,%ymm15 + vpand %ymm5,%ymm4,%ymm4 + + vpsrlq $4,%ymm10,%ymm9 + + vpsrlq $26,%ymm1,%ymm12 + vpand %ymm5,%ymm1,%ymm1 + vpaddq %ymm12,%ymm2,%ymm2 + + vpaddq %ymm15,%ymm0,%ymm0 + vpsllq $2,%ymm15,%ymm15 + vpaddq %ymm15,%ymm0,%ymm0 + + vpand %ymm5,%ymm9,%ymm9 + vpsrlq $26,%ymm7,%ymm8 + + vpsrlq $26,%ymm2,%ymm13 + vpand %ymm5,%ymm2,%ymm2 + vpaddq %ymm13,%ymm3,%ymm3 + + vpaddq %ymm9,%ymm2,%ymm2 + vpsrlq $30,%ymm10,%ymm10 + + vpsrlq $26,%ymm0,%ymm11 + vpand %ymm5,%ymm0,%ymm0 + vpaddq %ymm11,%ymm1,%ymm1 + + vpsrlq $40,%ymm6,%ymm6 + + vpsrlq $26,%ymm3,%ymm14 + vpand %ymm5,%ymm3,%ymm3 + vpaddq %ymm14,%ymm4,%ymm4 + + vpand %ymm5,%ymm7,%ymm7 + vpand %ymm5,%ymm8,%ymm8 + vpand %ymm5,%ymm10,%ymm10 + vpor 32(%rcx),%ymm6,%ymm6 + + subq $64,%rdx + jnz .Loop_avx2 + +.byte 0x66,0x90 +.Ltail_avx2: + + + + + + + + vpaddq %ymm0,%ymm7,%ymm0 + vmovdqu 4(%rsp),%ymm7 + vpaddq %ymm1,%ymm8,%ymm1 + vmovdqu 36(%rsp),%ymm8 + vpaddq %ymm3,%ymm10,%ymm3 + vmovdqu 100(%rsp),%ymm9 + vpaddq %ymm4,%ymm6,%ymm4 + vmovdqu 52(%rax),%ymm10 + vmovdqu 116(%rax),%ymm5 + + vpmuludq %ymm2,%ymm7,%ymm13 + vpmuludq %ymm2,%ymm8,%ymm14 + vpmuludq %ymm2,%ymm9,%ymm15 + vpmuludq %ymm2,%ymm10,%ymm11 + vpmuludq %ymm2,%ymm5,%ymm12 + + vpmuludq %ymm0,%ymm8,%ymm6 + vpmuludq %ymm1,%ymm8,%ymm2 + vpaddq %ymm6,%ymm12,%ymm12 + vpaddq %ymm2,%ymm13,%ymm13 + vpmuludq %ymm3,%ymm8,%ymm6 + vpmuludq 68(%rsp),%ymm4,%ymm2 + vpaddq %ymm6,%ymm15,%ymm15 + vpaddq %ymm2,%ymm11,%ymm11 + + vpmuludq %ymm0,%ymm7,%ymm6 + vpmuludq %ymm1,%ymm7,%ymm2 + vpaddq %ymm6,%ymm11,%ymm11 + vmovdqu -12(%rax),%ymm8 + vpaddq %ymm2,%ymm12,%ymm12 + vpmuludq %ymm3,%ymm7,%ymm6 + vpmuludq %ymm4,%ymm7,%ymm2 + vpaddq %ymm6,%ymm14,%ymm14 + vpaddq %ymm2,%ymm15,%ymm15 + + vpmuludq %ymm3,%ymm8,%ymm6 + vpmuludq %ymm4,%ymm8,%ymm2 + vpaddq %ymm6,%ymm11,%ymm11 + vpaddq %ymm2,%ymm12,%ymm12 + vmovdqu 20(%rax),%ymm2 + vpmuludq %ymm1,%ymm9,%ymm6 + vpmuludq %ymm0,%ymm9,%ymm9 + vpaddq %ymm6,%ymm14,%ymm14 + vpaddq %ymm9,%ymm13,%ymm13 + + vpmuludq %ymm1,%ymm2,%ymm6 + vpmuludq %ymm0,%ymm2,%ymm2 + vpaddq %ymm6,%ymm15,%ymm15 + vpaddq %ymm2,%ymm14,%ymm14 + vpmuludq %ymm3,%ymm10,%ymm6 + vpmuludq %ymm4,%ymm10,%ymm2 + vpaddq %ymm6,%ymm12,%ymm12 + vpaddq %ymm2,%ymm13,%ymm13 + + vpmuludq %ymm3,%ymm5,%ymm3 + vpmuludq %ymm4,%ymm5,%ymm4 + vpaddq %ymm3,%ymm13,%ymm2 + vpaddq %ymm4,%ymm14,%ymm3 + vpmuludq 84(%rax),%ymm0,%ymm4 + vpmuludq %ymm1,%ymm5,%ymm0 + vmovdqa 64(%rcx),%ymm5 + vpaddq %ymm4,%ymm15,%ymm4 + vpaddq %ymm0,%ymm11,%ymm0 + + + + + vpsrldq $8,%ymm12,%ymm8 + vpsrldq $8,%ymm2,%ymm9 + vpsrldq $8,%ymm3,%ymm10 + vpsrldq $8,%ymm4,%ymm6 + vpsrldq $8,%ymm0,%ymm7 + vpaddq %ymm8,%ymm12,%ymm12 + vpaddq %ymm9,%ymm2,%ymm2 + vpaddq %ymm10,%ymm3,%ymm3 + vpaddq %ymm6,%ymm4,%ymm4 + vpaddq %ymm7,%ymm0,%ymm0 + + vpermq $0x2,%ymm3,%ymm10 + vpermq $0x2,%ymm4,%ymm6 + vpermq $0x2,%ymm0,%ymm7 + vpermq $0x2,%ymm12,%ymm8 + vpermq $0x2,%ymm2,%ymm9 + vpaddq %ymm10,%ymm3,%ymm3 + vpaddq %ymm6,%ymm4,%ymm4 + vpaddq %ymm7,%ymm0,%ymm0 + vpaddq %ymm8,%ymm12,%ymm12 + vpaddq %ymm9,%ymm2,%ymm2 + + + + + vpsrlq $26,%ymm3,%ymm14 + vpand %ymm5,%ymm3,%ymm3 + vpaddq %ymm14,%ymm4,%ymm4 + + vpsrlq $26,%ymm0,%ymm11 + vpand %ymm5,%ymm0,%ymm0 + vpaddq %ymm11,%ymm12,%ymm1 + + vpsrlq $26,%ymm4,%ymm15 + vpand %ymm5,%ymm4,%ymm4 + + vpsrlq $26,%ymm1,%ymm12 + vpand %ymm5,%ymm1,%ymm1 + vpaddq %ymm12,%ymm2,%ymm2 + + vpaddq %ymm15,%ymm0,%ymm0 + vpsllq $2,%ymm15,%ymm15 + vpaddq %ymm15,%ymm0,%ymm0 + + vpsrlq $26,%ymm2,%ymm13 + vpand %ymm5,%ymm2,%ymm2 + vpaddq %ymm13,%ymm3,%ymm3 + + vpsrlq $26,%ymm0,%ymm11 + vpand %ymm5,%ymm0,%ymm0 + vpaddq %ymm11,%ymm1,%ymm1 + + vpsrlq $26,%ymm3,%ymm14 + vpand %ymm5,%ymm3,%ymm3 + vpaddq %ymm14,%ymm4,%ymm4 + + vmovd %xmm0,-112(%rdi) + vmovd %xmm1,-108(%rdi) + vmovd %xmm2,-104(%rdi) + vmovd %xmm3,-100(%rdi) + vmovd %xmm4,-96(%rdi) + leaq 8(%r11),%rsp +.cfi_def_cfa %rsp,8 + vzeroupper + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_poly1305_asm_blocks_avx2,.-crypton_poly1305_asm_blocks_avx2 +.align 64 +.Lconst: +.Lmask24: +.long 0x0ffffff,0,0x0ffffff,0,0x0ffffff,0,0x0ffffff,0 +.L129: +.long 16777216,0,16777216,0,16777216,0,16777216,0 +.Lmask26: +.long 0x3ffffff,0,0x3ffffff,0,0x3ffffff,0,0x3ffffff,0 +.Lpermd_avx2: +.long 2,2,2,3,2,0,2,1 +.Lpermd_avx512: +.long 0,0,0,1, 0,2,0,3, 0,4,0,5, 0,6,0,7 + +.L2_44_inp_permd: +.long 0,1,1,2,2,3,7,7 +.L2_44_inp_shift: +.quad 0,12,24,64 +.L2_44_mask: +.quad 0xfffffffffff,0xfffffffffff,0x3ffffffffff,0xffffffffffffffff +.L2_44_shift_rgt: +.quad 44,44,42,64 +.L2_44_shift_lft: +.quad 8,8,10,64 + +.align 64 +.Lx_mask44: +.quad 0xfffffffffff,0xfffffffffff,0xfffffffffff,0xfffffffffff +.quad 0xfffffffffff,0xfffffffffff,0xfffffffffff,0xfffffffffff +.Lx_mask42: +.quad 0x3ffffffffff,0x3ffffffffff,0x3ffffffffff,0x3ffffffffff +.quad 0x3ffffffffff,0x3ffffffffff,0x3ffffffffff,0x3ffffffffff +.byte 80,111,108,121,49,51,48,53,32,102,111,114,32,120,56,54,95,54,52,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.align 16 +.globl crypton_xor128_encrypt_n_pad +.type crypton_xor128_encrypt_n_pad,@function +.align 16 +crypton_xor128_encrypt_n_pad: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + subq %rdx,%rsi + subq %rdx,%rdi + movq %rcx,%r10 + shrq $4,%rcx + jz .Ltail_enc + nop +.Loop_enc_xmm: + movdqu (%rsi,%rdx,1),%xmm0 + pxor (%rdx),%xmm0 + movdqu %xmm0,(%rdi,%rdx,1) + movdqa %xmm0,(%rdx) + leaq 16(%rdx),%rdx + decq %rcx + jnz .Loop_enc_xmm + + andq $15,%r10 + jz .Ldone_enc + +.Ltail_enc: + movq $16,%rcx + subq %r10,%rcx + xorl %eax,%eax +.Loop_enc_byte: + movb (%rsi,%rdx,1),%al + xorb (%rdx),%al + movb %al,(%rdi,%rdx,1) + movb %al,(%rdx) + leaq 1(%rdx),%rdx + decq %r10 + jnz .Loop_enc_byte + + xorl %eax,%eax +.Loop_enc_pad: + movb %al,(%rdx) + leaq 1(%rdx),%rdx + decq %rcx + jnz .Loop_enc_pad + +.Ldone_enc: + movq %rdx,%rax + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_xor128_encrypt_n_pad,.-crypton_xor128_encrypt_n_pad + +.globl crypton_xor128_decrypt_n_pad +.type crypton_xor128_decrypt_n_pad,@function +.align 16 +crypton_xor128_decrypt_n_pad: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + subq %rdx,%rsi + subq %rdx,%rdi + movq %rcx,%r10 + shrq $4,%rcx + jz .Ltail_dec + nop +.Loop_dec_xmm: + movdqu (%rsi,%rdx,1),%xmm0 + movdqa (%rdx),%xmm1 + pxor %xmm0,%xmm1 + movdqu %xmm1,(%rdi,%rdx,1) + movdqa %xmm0,(%rdx) + leaq 16(%rdx),%rdx + decq %rcx + jnz .Loop_dec_xmm + + pxor %xmm1,%xmm1 + andq $15,%r10 + jz .Ldone_dec + +.Ltail_dec: + movq $16,%rcx + subq %r10,%rcx + xorl %eax,%eax + xorq %r11,%r11 +.Loop_dec_byte: + movb (%rsi,%rdx,1),%r11b + movb (%rdx),%al + xorb %r11b,%al + movb %al,(%rdi,%rdx,1) + movb %r11b,(%rdx) + leaq 1(%rdx),%rdx + decq %r10 + jnz .Loop_dec_byte + + xorl %eax,%eax +.Loop_dec_pad: + movb %al,(%rdx) + leaq 1(%rdx),%rdx + decq %rcx + jnz .Loop_dec_pad + +.Ldone_dec: + movq %rdx,%rax + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_xor128_decrypt_n_pad,.-crypton_xor128_decrypt_n_pad + +.section .note.gnu.property,"a",@note + .long 4,2f-1f,5 + .byte 0x47,0x4E,0x55,0 +1: .long 0xc0000002,4,3 +.align 8 +2: + +.section .note.GNU-stack,"",@progbits diff --git a/cbits/asm/poly1305-x86_64-macosx.S b/cbits/asm/poly1305-x86_64-macosx.S new file mode 100644 --- /dev/null +++ b/cbits/asm/poly1305-x86_64-macosx.S @@ -0,0 +1,2024 @@ +.text + + + +.globl _crypton_poly1305_asm_init +.private_extern _crypton_poly1305_asm_init +.globl _crypton_poly1305_asm_blocks +.private_extern _crypton_poly1305_asm_blocks +.globl _crypton_poly1305_asm_emit +.private_extern _crypton_poly1305_asm_emit + + +.p2align 5 +_crypton_poly1305_asm_init: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + xorq %rax,%rax + movq %rax,0(%rdi) + movq %rax,8(%rdi) + movq %rax,16(%rdi) + + cmpq $0,%rsi + je L$no_key + + movq $0x0ffffffc0fffffff,%rax + leaq -3(%rax),%rcx + andq 0(%rsi),%rax + andq 8(%rsi),%rcx + movq %rax,24(%rdi) + movq %rcx,32(%rdi) + movl $-1,48(%rdi) + leaq _crypton_poly1305_asm_blocks(%rip),%r10 + leaq _crypton_poly1305_asm_emit(%rip),%r11 + movq _crypton_ia32cap_P+4(%rip),%r9 + leaq crypton_poly1305_asm_blocks_avx(%rip),%rax + btq $28,%r9 + cmovcq %rax,%r10 + leaq crypton_poly1305_asm_blocks_avx2(%rip),%rax + btq $37,%r9 + cmovcq %rax,%r10 + movq %r10,0(%rdx) + movq %r11,8(%rdx) + movl $1,%eax +L$no_key: + .byte 0xf3,0xc3 +.cfi_endproc + + + +.p2align 5 +_crypton_poly1305_asm_blocks: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + +L$blocks: + shrq $4,%rdx + jz L$no_data + + pushq %rbx +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbx,-16 + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-24 + pushq %r12 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r15,-56 + leaq -8(%rsp),%rsp +.cfi_adjust_cfa_offset 8 +L$blocks_body: + + movq %rdx,%r15 + + movq 24(%rdi),%r11 + movq 32(%rdi),%r13 + + movq 0(%rdi),%r14 + movq 8(%rdi),%rbx + movq 16(%rdi),%rbp + + movl %r14d,%eax + movl 4(%rdi),%edx + movl %ebx,%r8d + movl 12(%rdi),%r10d + movl %ebp,%r12d + + shlq $26,%rdx + movq %r8,%r9 + shlq $52,%r8 + addq %rdx,%rax + shrq $12,%r9 + addq %rax,%r8 + adcq $0,%r9 + + shlq $14,%r10 + movq %r12,%rax + shrq $24,%r12 + addq %r10,%r9 + shlq $40,%rax + addq %rax,%r9 + adcq $0,%r12 + + cmpq $4,%rbp + + cmovaq %r8,%r14 + cmovaq %r9,%rbx + cmovaq %r12,%rbp + + movq %r13,%r12 + shrq $2,%r13 + movq %r12,%rax + addq %r12,%r13 + jmp L$oop + +.p2align 5 +L$oop: + addq 0(%rsi),%r14 + adcq 8(%rsi),%rbx + leaq 16(%rsi),%rsi + adcq %rcx,%rbp + mulq %r14 + movq %rax,%r9 + movq %r11,%rax + movq %rdx,%r10 + + mulq %r14 + movq %rax,%r14 + movq %r11,%rax + movq %rdx,%r8 + + mulq %rbx + addq %rax,%r9 + movq %r13,%rax + adcq %rdx,%r10 + + mulq %rbx + movq %rbp,%rbx + addq %rax,%r14 + adcq %rdx,%r8 + + imulq %r13,%rbx + addq %rbx,%r9 + movq %r8,%rbx + adcq $0,%r10 + + imulq %r11,%rbp + addq %r9,%rbx + movq $-4,%rax + adcq %rbp,%r10 + + andq %r10,%rax + movq %r10,%rbp + shrq $2,%r10 + andq $3,%rbp + addq %r10,%rax + addq %rax,%r14 + adcq $0,%rbx + adcq $0,%rbp + movq %r12,%rax + decq %r15 + jnz L$oop + + movq %r14,0(%rdi) + movq %rbx,8(%rdi) + movq %rbp,16(%rdi) + + movq 8(%rsp),%r15 +.cfi_restore %r15 + movq 16(%rsp),%r14 +.cfi_restore %r14 + movq 24(%rsp),%r13 +.cfi_restore %r13 + movq 32(%rsp),%r12 +.cfi_restore %r12 + movq 40(%rsp),%rbp +.cfi_restore %rbp + movq 48(%rsp),%rbx +.cfi_restore %rbx + leaq 56(%rsp),%rsp +.cfi_adjust_cfa_offset -56 +L$no_data: +L$blocks_epilogue: + .byte 0xf3,0xc3 +.cfi_endproc + + + +.p2align 5 +_crypton_poly1305_asm_emit: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + movl 0(%rdi),%eax + movl 4(%rdi),%ecx + movl 8(%rdi),%r8d + movl 12(%rdi),%r11d + movl 16(%rdi),%r10d + + shlq $26,%rcx + movq %r8,%r9 + shlq $52,%r8 + addq %rcx,%rax + shrq $12,%r9 + addq %rax,%r8 + adcq $0,%r9 + + shlq $14,%r11 + movq %r10,%rax + shrq $24,%r10 + addq %r11,%r9 + movq 0(%rdi),%rcx + shlq $40,%rax + movq 8(%rdi),%r11 + addq %rax,%r9 + movq 16(%rdi),%rax + adcq $0,%r10 + + cmpq $4,%rax + + cmovbeq %rcx,%r8 + cmovbeq %r11,%r9 + cmovbeq %rax,%r10 + + movq %r8,%rax + addq $5,%r8 + movq %r9,%rcx + adcq $0,%r9 + adcq $0,%r10 + shrq $2,%r10 + cmovnzq %r8,%rax + cmovnzq %r9,%rcx + + addq 0(%rdx),%rax + adcq 8(%rdx),%rcx + movq %rax,0(%rsi) + movq %rcx,8(%rsi) + + .byte 0xf3,0xc3 +.cfi_endproc + + +.p2align 5 +__crypton_poly1305_asm_block: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + mulq %r14 + movq %rax,%r9 + movq %r11,%rax + movq %rdx,%r10 + + mulq %r14 + movq %rax,%r14 + movq %r11,%rax + movq %rdx,%r8 + + mulq %rbx + addq %rax,%r9 + movq %r13,%rax + adcq %rdx,%r10 + + mulq %rbx + movq %rbp,%rbx + addq %rax,%r14 + adcq %rdx,%r8 + + imulq %r13,%rbx + addq %rbx,%r9 + movq %r8,%rbx + adcq $0,%r10 + + imulq %r11,%rbp + addq %r9,%rbx + movq $-4,%rax + adcq %rbp,%r10 + + andq %r10,%rax + movq %r10,%rbp + shrq $2,%r10 + andq $3,%rbp + addq %r10,%rax + addq %rax,%r14 + adcq $0,%rbx + adcq $0,%rbp + .byte 0xf3,0xc3 +.cfi_endproc + + + +.p2align 5 +__crypton_poly1305_asm_init_avx: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + cmpl $-1,48(%rdi) + jne L$done_init_avx + + movq %r11,%r14 + movq %r12,%rbx + xorq %rbp,%rbp + + leaq 48+64(%rdi),%rdi + + movq %r12,%rax + call __crypton_poly1305_asm_block + + movl $0x3ffffff,%eax + movl $0x3ffffff,%edx + movq %r14,%r8 + andl %r14d,%eax + movq %r11,%r9 + andl %r11d,%edx + movl %eax,-64(%rdi) + shrq $26,%r8 + movl %edx,-60(%rdi) + shrq $26,%r9 + + movl $0x3ffffff,%eax + movl $0x3ffffff,%edx + andl %r8d,%eax + andl %r9d,%edx + movl %eax,-48(%rdi) + leal (%rax,%rax,4),%eax + movl %edx,-44(%rdi) + leal (%rdx,%rdx,4),%edx + movl %eax,-32(%rdi) + shrq $26,%r8 + movl %edx,-28(%rdi) + shrq $26,%r9 + + movq %rbx,%rax + movq %r12,%rdx + shlq $12,%rax + shlq $12,%rdx + orq %r8,%rax + orq %r9,%rdx + andl $0x3ffffff,%eax + andl $0x3ffffff,%edx + movl %eax,-16(%rdi) + leal (%rax,%rax,4),%eax + movl %edx,-12(%rdi) + leal (%rdx,%rdx,4),%edx + movl %eax,0(%rdi) + movq %rbx,%r8 + movl %edx,4(%rdi) + movq %r12,%r9 + + movl $0x3ffffff,%eax + movl $0x3ffffff,%edx + shrq $14,%r8 + shrq $14,%r9 + andl %r8d,%eax + andl %r9d,%edx + movl %eax,16(%rdi) + leal (%rax,%rax,4),%eax + movl %edx,20(%rdi) + leal (%rdx,%rdx,4),%edx + movl %eax,32(%rdi) + shrq $26,%r8 + movl %edx,36(%rdi) + shrq $26,%r9 + + movq %rbp,%rax + shlq $24,%rax + orq %rax,%r8 + movl %r8d,48(%rdi) + leaq (%r8,%r8,4),%r8 + movl %r9d,52(%rdi) + leaq (%r9,%r9,4),%r9 + movl %r8d,64(%rdi) + movl %r9d,68(%rdi) + + movq %r12,%rax + call __crypton_poly1305_asm_block + + movl $0x3ffffff,%eax + movq %r14,%r8 + andl %r14d,%eax + shrq $26,%r8 + movl %eax,-52(%rdi) + + movl $0x3ffffff,%edx + andl %r8d,%edx + movl %edx,-36(%rdi) + leal (%rdx,%rdx,4),%edx + shrq $26,%r8 + movl %edx,-20(%rdi) + + movq %rbx,%rax + shlq $12,%rax + orq %r8,%rax + andl $0x3ffffff,%eax + movl %eax,-4(%rdi) + leal (%rax,%rax,4),%eax + movq %rbx,%r8 + movl %eax,12(%rdi) + + movl $0x3ffffff,%edx + shrq $14,%r8 + andl %r8d,%edx + movl %edx,28(%rdi) + leal (%rdx,%rdx,4),%edx + shrq $26,%r8 + movl %edx,44(%rdi) + + movq %rbp,%rax + shlq $24,%rax + orq %rax,%r8 + movl %r8d,60(%rdi) + leaq (%r8,%r8,4),%r8 + movl %r8d,76(%rdi) + + movq %r12,%rax + call __crypton_poly1305_asm_block + + movl $0x3ffffff,%eax + movq %r14,%r8 + andl %r14d,%eax + shrq $26,%r8 + movl %eax,-56(%rdi) + + movl $0x3ffffff,%edx + andl %r8d,%edx + movl %edx,-40(%rdi) + leal (%rdx,%rdx,4),%edx + shrq $26,%r8 + movl %edx,-24(%rdi) + + movq %rbx,%rax + shlq $12,%rax + orq %r8,%rax + andl $0x3ffffff,%eax + movl %eax,-8(%rdi) + leal (%rax,%rax,4),%eax + movq %rbx,%r8 + movl %eax,8(%rdi) + + movl $0x3ffffff,%edx + shrq $14,%r8 + andl %r8d,%edx + movl %edx,24(%rdi) + leal (%rdx,%rdx,4),%edx + shrq $26,%r8 + movl %edx,40(%rdi) + + movq %rbp,%rax + shlq $24,%rax + orq %rax,%r8 + movl %r8d,56(%rdi) + leaq (%r8,%r8,4),%r8 + movl %r8d,72(%rdi) + + leaq -48-64(%rdi),%rdi +L$done_init_avx: + .byte 0xf3,0xc3 +.cfi_endproc + + + +.p2align 5 +crypton_poly1305_asm_blocks_avx: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + movl 20(%rdi),%r8d + cmpq $128,%rdx + jb L$blocks + + andq $-16,%rdx + + vzeroupper + + testl %r8d,%r8d + jz L$base2_64_avx + + testq $31,%rdx + jz L$even_avx + + pushq %rbx +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbx,-16 + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-24 + pushq %r12 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r15,-56 + leaq -8(%rsp),%rsp +.cfi_adjust_cfa_offset 8 +L$blocks_avx_body: + + movq %rdx,%r15 + + movq 0(%rdi),%r8 + movq 8(%rdi),%r9 + movl 16(%rdi),%ebp + + movq 24(%rdi),%r11 + movq 32(%rdi),%r13 + + + movl %r8d,%r14d + andq $-2147483648,%r8 + movq %r9,%r12 + movl %r9d,%ebx + andq $-2147483648,%r9 + + shrq $6,%r8 + shlq $52,%r12 + addq %r8,%r14 + shrq $12,%rbx + shrq $18,%r9 + addq %r12,%r14 + adcq %r9,%rbx + + movq %rbp,%r8 + shlq $40,%r8 + shrq $24,%rbp + addq %r8,%rbx + adcq $0,%rbp + + movq %r13,%r12 + movq %r13,%rax + shrq $2,%r13 + addq %r12,%r13 + + addq 0(%rsi),%r14 + adcq 8(%rsi),%rbx + leaq 16(%rsi),%rsi + adcq %rcx,%rbp + + call __crypton_poly1305_asm_block + + + movq %r14,%rax + movq %r14,%rdx + shrq $52,%r14 + movq %rbx,%r11 + movq %rbx,%r12 + shrq $26,%rdx + andq $0x3ffffff,%rax + shlq $12,%r11 + andq $0x3ffffff,%rdx + shrq $14,%rbx + orq %r11,%r14 + shlq $24,%rbp + andq $0x3ffffff,%r14 + shrq $40,%r12 + andq $0x3ffffff,%rbx + orq %r12,%rbp + + vmovd %eax,%xmm0 + vmovd %edx,%xmm1 + vmovd %r14d,%xmm2 + vmovd %ebx,%xmm3 + vmovd %ebp,%xmm4 + + leaq -16(%r15),%rdx + + movq 8(%rsp),%r15 +.cfi_restore %r15 + movq 16(%rsp),%r14 +.cfi_restore %r14 + movq 24(%rsp),%r13 +.cfi_restore %r13 + movq 32(%rsp),%r12 +.cfi_restore %r12 + movq 40(%rsp),%rbp +.cfi_restore %rbp + movq 48(%rsp),%rbx +.cfi_restore %rbx + leaq 56(%rsp),%rax + leaq 56(%rsp),%rsp +.cfi_adjust_cfa_offset -56 +L$blocks_avx_epilogue: + jmp L$do_avx +.cfi_endproc + +.p2align 5 +L$base2_64_avx: +.cfi_startproc + pushq %rbx +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbx,-16 + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-24 + pushq %r12 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r15,-56 + leaq -8(%rsp),%rsp +.cfi_adjust_cfa_offset 8 +L$base2_64_avx_body: + + movq %rdx,%r15 + + movq 24(%rdi),%r11 + movq 32(%rdi),%r13 + + movq 0(%rdi),%r14 + movq 8(%rdi),%rbx + movl 16(%rdi),%ebp + + movq %r13,%r12 + movq %r13,%rax + shrq $2,%r13 + addq %r12,%r13 + + testq $31,%rdx + jz L$init_avx + + addq 0(%rsi),%r14 + adcq 8(%rsi),%rbx + leaq 16(%rsi),%rsi + adcq %rcx,%rbp + subq $16,%r15 + + call __crypton_poly1305_asm_block + +L$init_avx: + + movq %r14,%rax + movq %r14,%rdx + shrq $52,%r14 + movq %rbx,%r8 + movq %rbx,%r9 + shrq $26,%rdx + andq $0x3ffffff,%rax + shlq $12,%r8 + andq $0x3ffffff,%rdx + shrq $14,%rbx + orq %r8,%r14 + shlq $24,%rbp + andq $0x3ffffff,%r14 + shrq $40,%r9 + andq $0x3ffffff,%rbx + orq %r9,%rbp + + vmovd %eax,%xmm0 + vmovd %edx,%xmm1 + vmovd %r14d,%xmm2 + vmovd %ebx,%xmm3 + vmovd %ebp,%xmm4 + movl $1,20(%rdi) + + call __crypton_poly1305_asm_init_avx + + movq %r15,%rdx + + movq 8(%rsp),%r15 +.cfi_restore %r15 + movq 16(%rsp),%r14 +.cfi_restore %r14 + movq 24(%rsp),%r13 +.cfi_restore %r13 + movq 32(%rsp),%r12 +.cfi_restore %r12 + movq 40(%rsp),%rbp +.cfi_restore %rbp + movq 48(%rsp),%rbx +.cfi_restore %rbx + leaq 56(%rsp),%rax + leaq 56(%rsp),%rsp +.cfi_adjust_cfa_offset -56 +L$base2_64_avx_epilogue: + jmp L$do_avx +.cfi_endproc + +.p2align 5 +L$even_avx: +.cfi_startproc + vmovd 0(%rdi),%xmm0 + vmovd 4(%rdi),%xmm1 + vmovd 8(%rdi),%xmm2 + vmovd 12(%rdi),%xmm3 + vmovd 16(%rdi),%xmm4 + +L$do_avx: + leaq -88(%rsp),%r11 +.cfi_def_cfa %r11,0x60 + subq $0x178,%rsp + subq $64,%rdx + leaq -32(%rsi),%rax + cmovcq %rax,%rsi + + vmovdqu 48(%rdi),%xmm14 + leaq 112(%rdi),%rdi + leaq L$const(%rip),%rcx + + + + vmovdqu 32(%rsi),%xmm5 + vmovdqu 48(%rsi),%xmm6 + vmovdqa 64(%rcx),%xmm15 + + vpsrldq $6,%xmm5,%xmm7 + vpsrldq $6,%xmm6,%xmm8 + vpunpckhqdq %xmm6,%xmm5,%xmm9 + vpunpcklqdq %xmm6,%xmm5,%xmm5 + vpunpcklqdq %xmm8,%xmm7,%xmm8 + + vpsrlq $40,%xmm9,%xmm9 + vpsrlq $26,%xmm5,%xmm6 + vpand %xmm15,%xmm5,%xmm5 + vpsrlq $4,%xmm8,%xmm7 + vpand %xmm15,%xmm6,%xmm6 + vpsrlq $30,%xmm8,%xmm8 + vpand %xmm15,%xmm7,%xmm7 + vpand %xmm15,%xmm8,%xmm8 + vpor 32(%rcx),%xmm9,%xmm9 + + jbe L$skip_loop_avx + + + vmovdqu -48(%rdi),%xmm11 + vmovdqu -32(%rdi),%xmm12 + vpshufd $0xEE,%xmm14,%xmm13 + vpshufd $0x44,%xmm14,%xmm10 + vmovdqa %xmm13,-144(%r11) + vmovdqa %xmm10,0(%rsp) + vpshufd $0xEE,%xmm11,%xmm14 + vmovdqu -16(%rdi),%xmm10 + vpshufd $0x44,%xmm11,%xmm11 + vmovdqa %xmm14,-128(%r11) + vmovdqa %xmm11,16(%rsp) + vpshufd $0xEE,%xmm12,%xmm13 + vmovdqu 0(%rdi),%xmm11 + vpshufd $0x44,%xmm12,%xmm12 + vmovdqa %xmm13,-112(%r11) + vmovdqa %xmm12,32(%rsp) + vpshufd $0xEE,%xmm10,%xmm14 + vmovdqu 16(%rdi),%xmm12 + vpshufd $0x44,%xmm10,%xmm10 + vmovdqa %xmm14,-96(%r11) + vmovdqa %xmm10,48(%rsp) + vpshufd $0xEE,%xmm11,%xmm13 + vmovdqu 32(%rdi),%xmm10 + vpshufd $0x44,%xmm11,%xmm11 + vmovdqa %xmm13,-80(%r11) + vmovdqa %xmm11,64(%rsp) + vpshufd $0xEE,%xmm12,%xmm14 + vmovdqu 48(%rdi),%xmm11 + vpshufd $0x44,%xmm12,%xmm12 + vmovdqa %xmm14,-64(%r11) + vmovdqa %xmm12,80(%rsp) + vpshufd $0xEE,%xmm10,%xmm13 + vmovdqu 64(%rdi),%xmm12 + vpshufd $0x44,%xmm10,%xmm10 + vmovdqa %xmm13,-48(%r11) + vmovdqa %xmm10,96(%rsp) + vpshufd $0xEE,%xmm11,%xmm14 + vpshufd $0x44,%xmm11,%xmm11 + vmovdqa %xmm14,-32(%r11) + vmovdqa %xmm11,112(%rsp) + vpshufd $0xEE,%xmm12,%xmm13 + vmovdqa 0(%rsp),%xmm14 + vpshufd $0x44,%xmm12,%xmm12 + vmovdqa %xmm13,-16(%r11) + vmovdqa %xmm12,128(%rsp) + + jmp L$oop_avx + +.p2align 5 +L$oop_avx: + + + + + + + + + + + + + + + + + + + + + vpmuludq %xmm5,%xmm14,%xmm10 + vpmuludq %xmm6,%xmm14,%xmm11 + vmovdqa %xmm2,32(%r11) + vpmuludq %xmm7,%xmm14,%xmm12 + vmovdqa 16(%rsp),%xmm2 + vpmuludq %xmm8,%xmm14,%xmm13 + vpmuludq %xmm9,%xmm14,%xmm14 + + vmovdqa %xmm0,0(%r11) + vpmuludq 32(%rsp),%xmm9,%xmm0 + vmovdqa %xmm1,16(%r11) + vpmuludq %xmm8,%xmm2,%xmm1 + vpaddq %xmm0,%xmm10,%xmm10 + vpaddq %xmm1,%xmm14,%xmm14 + vmovdqa %xmm3,48(%r11) + vpmuludq %xmm7,%xmm2,%xmm0 + vpmuludq %xmm6,%xmm2,%xmm1 + vpaddq %xmm0,%xmm13,%xmm13 + vmovdqa 48(%rsp),%xmm3 + vpaddq %xmm1,%xmm12,%xmm12 + vmovdqa %xmm4,64(%r11) + vpmuludq %xmm5,%xmm2,%xmm2 + vpmuludq %xmm7,%xmm3,%xmm0 + vpaddq %xmm2,%xmm11,%xmm11 + + vmovdqa 64(%rsp),%xmm4 + vpaddq %xmm0,%xmm14,%xmm14 + vpmuludq %xmm6,%xmm3,%xmm1 + vpmuludq %xmm5,%xmm3,%xmm3 + vpaddq %xmm1,%xmm13,%xmm13 + vmovdqa 80(%rsp),%xmm2 + vpaddq %xmm3,%xmm12,%xmm12 + vpmuludq %xmm9,%xmm4,%xmm0 + vpmuludq %xmm8,%xmm4,%xmm4 + vpaddq %xmm0,%xmm11,%xmm11 + vmovdqa 96(%rsp),%xmm3 + vpaddq %xmm4,%xmm10,%xmm10 + + vmovdqa 128(%rsp),%xmm4 + vpmuludq %xmm6,%xmm2,%xmm1 + vpmuludq %xmm5,%xmm2,%xmm2 + vpaddq %xmm1,%xmm14,%xmm14 + vpaddq %xmm2,%xmm13,%xmm13 + vpmuludq %xmm9,%xmm3,%xmm0 + vpmuludq %xmm8,%xmm3,%xmm1 + vpaddq %xmm0,%xmm12,%xmm12 + vmovdqu 0(%rsi),%xmm0 + vpaddq %xmm1,%xmm11,%xmm11 + vpmuludq %xmm7,%xmm3,%xmm3 + vpmuludq %xmm7,%xmm4,%xmm7 + vpaddq %xmm3,%xmm10,%xmm10 + + vmovdqu 16(%rsi),%xmm1 + vpaddq %xmm7,%xmm11,%xmm11 + vpmuludq %xmm8,%xmm4,%xmm8 + vpmuludq %xmm9,%xmm4,%xmm9 + vpsrldq $6,%xmm0,%xmm2 + vpaddq %xmm8,%xmm12,%xmm12 + vpaddq %xmm9,%xmm13,%xmm13 + vpsrldq $6,%xmm1,%xmm3 + vpmuludq 112(%rsp),%xmm5,%xmm9 + vpmuludq %xmm6,%xmm4,%xmm5 + vpunpckhqdq %xmm1,%xmm0,%xmm4 + vpaddq %xmm9,%xmm14,%xmm14 + vmovdqa -144(%r11),%xmm9 + vpaddq %xmm5,%xmm10,%xmm10 + + vpunpcklqdq %xmm1,%xmm0,%xmm0 + vpunpcklqdq %xmm3,%xmm2,%xmm3 + + + vpsrldq $5,%xmm4,%xmm4 + vpsrlq $26,%xmm0,%xmm1 + vpand %xmm15,%xmm0,%xmm0 + vpsrlq $4,%xmm3,%xmm2 + vpand %xmm15,%xmm1,%xmm1 + vpand 0(%rcx),%xmm4,%xmm4 + vpsrlq $30,%xmm3,%xmm3 + vpand %xmm15,%xmm2,%xmm2 + vpand %xmm15,%xmm3,%xmm3 + vpor 32(%rcx),%xmm4,%xmm4 + + vpaddq 0(%r11),%xmm0,%xmm0 + vpaddq 16(%r11),%xmm1,%xmm1 + vpaddq 32(%r11),%xmm2,%xmm2 + vpaddq 48(%r11),%xmm3,%xmm3 + vpaddq 64(%r11),%xmm4,%xmm4 + + leaq 32(%rsi),%rax + leaq 64(%rsi),%rsi + subq $64,%rdx + cmovcq %rax,%rsi + + + + + + + + + + + vpmuludq %xmm0,%xmm9,%xmm5 + vpmuludq %xmm1,%xmm9,%xmm6 + vpaddq %xmm5,%xmm10,%xmm10 + vpaddq %xmm6,%xmm11,%xmm11 + vmovdqa -128(%r11),%xmm7 + vpmuludq %xmm2,%xmm9,%xmm5 + vpmuludq %xmm3,%xmm9,%xmm6 + vpaddq %xmm5,%xmm12,%xmm12 + vpaddq %xmm6,%xmm13,%xmm13 + vpmuludq %xmm4,%xmm9,%xmm9 + vpmuludq -112(%r11),%xmm4,%xmm5 + vpaddq %xmm9,%xmm14,%xmm14 + + vpaddq %xmm5,%xmm10,%xmm10 + vpmuludq %xmm2,%xmm7,%xmm6 + vpmuludq %xmm3,%xmm7,%xmm5 + vpaddq %xmm6,%xmm13,%xmm13 + vmovdqa -96(%r11),%xmm8 + vpaddq %xmm5,%xmm14,%xmm14 + vpmuludq %xmm1,%xmm7,%xmm6 + vpmuludq %xmm0,%xmm7,%xmm7 + vpaddq %xmm6,%xmm12,%xmm12 + vpaddq %xmm7,%xmm11,%xmm11 + + vmovdqa -80(%r11),%xmm9 + vpmuludq %xmm2,%xmm8,%xmm5 + vpmuludq %xmm1,%xmm8,%xmm6 + vpaddq %xmm5,%xmm14,%xmm14 + vpaddq %xmm6,%xmm13,%xmm13 + vmovdqa -64(%r11),%xmm7 + vpmuludq %xmm0,%xmm8,%xmm8 + vpmuludq %xmm4,%xmm9,%xmm5 + vpaddq %xmm8,%xmm12,%xmm12 + vpaddq %xmm5,%xmm11,%xmm11 + vmovdqa -48(%r11),%xmm8 + vpmuludq %xmm3,%xmm9,%xmm9 + vpmuludq %xmm1,%xmm7,%xmm6 + vpaddq %xmm9,%xmm10,%xmm10 + + vmovdqa -16(%r11),%xmm9 + vpaddq %xmm6,%xmm14,%xmm14 + vpmuludq %xmm0,%xmm7,%xmm7 + vpmuludq %xmm4,%xmm8,%xmm5 + vpaddq %xmm7,%xmm13,%xmm13 + vpaddq %xmm5,%xmm12,%xmm12 + vmovdqu 32(%rsi),%xmm5 + vpmuludq %xmm3,%xmm8,%xmm7 + vpmuludq %xmm2,%xmm8,%xmm8 + vpaddq %xmm7,%xmm11,%xmm11 + vmovdqu 48(%rsi),%xmm6 + vpaddq %xmm8,%xmm10,%xmm10 + + vpmuludq %xmm2,%xmm9,%xmm2 + vpmuludq %xmm3,%xmm9,%xmm3 + vpsrldq $6,%xmm5,%xmm7 + vpaddq %xmm2,%xmm11,%xmm11 + vpmuludq %xmm4,%xmm9,%xmm4 + vpsrldq $6,%xmm6,%xmm8 + vpaddq %xmm3,%xmm12,%xmm2 + vpaddq %xmm4,%xmm13,%xmm3 + vpmuludq -32(%r11),%xmm0,%xmm4 + vpmuludq %xmm1,%xmm9,%xmm0 + vpunpckhqdq %xmm6,%xmm5,%xmm9 + vpaddq %xmm4,%xmm14,%xmm4 + vpaddq %xmm0,%xmm10,%xmm0 + + vpunpcklqdq %xmm6,%xmm5,%xmm5 + vpunpcklqdq %xmm8,%xmm7,%xmm8 + + + vpsrldq $5,%xmm9,%xmm9 + vpsrlq $26,%xmm5,%xmm6 + vmovdqa 0(%rsp),%xmm14 + vpand %xmm15,%xmm5,%xmm5 + vpsrlq $4,%xmm8,%xmm7 + vpand %xmm15,%xmm6,%xmm6 + vpand 0(%rcx),%xmm9,%xmm9 + vpsrlq $30,%xmm8,%xmm8 + vpand %xmm15,%xmm7,%xmm7 + vpand %xmm15,%xmm8,%xmm8 + vpor 32(%rcx),%xmm9,%xmm9 + + + + + + vpsrlq $26,%xmm3,%xmm13 + vpand %xmm15,%xmm3,%xmm3 + vpaddq %xmm13,%xmm4,%xmm4 + + vpsrlq $26,%xmm0,%xmm10 + vpand %xmm15,%xmm0,%xmm0 + vpaddq %xmm10,%xmm11,%xmm1 + + vpsrlq $26,%xmm4,%xmm10 + vpand %xmm15,%xmm4,%xmm4 + + vpsrlq $26,%xmm1,%xmm11 + vpand %xmm15,%xmm1,%xmm1 + vpaddq %xmm11,%xmm2,%xmm2 + + vpaddq %xmm10,%xmm0,%xmm0 + vpsllq $2,%xmm10,%xmm10 + vpaddq %xmm10,%xmm0,%xmm0 + + vpsrlq $26,%xmm2,%xmm12 + vpand %xmm15,%xmm2,%xmm2 + vpaddq %xmm12,%xmm3,%xmm3 + + vpsrlq $26,%xmm0,%xmm10 + vpand %xmm15,%xmm0,%xmm0 + vpaddq %xmm10,%xmm1,%xmm1 + + vpsrlq $26,%xmm3,%xmm13 + vpand %xmm15,%xmm3,%xmm3 + vpaddq %xmm13,%xmm4,%xmm4 + + ja L$oop_avx + +L$skip_loop_avx: + + + + vpshufd $0x10,%xmm14,%xmm14 + addq $32,%rdx + jnz L$ong_tail_avx + + vpaddq %xmm2,%xmm7,%xmm7 + vpaddq %xmm0,%xmm5,%xmm5 + vpaddq %xmm1,%xmm6,%xmm6 + vpaddq %xmm3,%xmm8,%xmm8 + vpaddq %xmm4,%xmm9,%xmm9 + +L$ong_tail_avx: + vmovdqa %xmm2,32(%r11) + vmovdqa %xmm0,0(%r11) + vmovdqa %xmm1,16(%r11) + vmovdqa %xmm3,48(%r11) + vmovdqa %xmm4,64(%r11) + + + + + + + + vpmuludq %xmm7,%xmm14,%xmm12 + vpmuludq %xmm5,%xmm14,%xmm10 + vpshufd $0x10,-48(%rdi),%xmm2 + vpmuludq %xmm6,%xmm14,%xmm11 + vpmuludq %xmm8,%xmm14,%xmm13 + vpmuludq %xmm9,%xmm14,%xmm14 + + vpmuludq %xmm8,%xmm2,%xmm0 + vpaddq %xmm0,%xmm14,%xmm14 + vpshufd $0x10,-32(%rdi),%xmm3 + vpmuludq %xmm7,%xmm2,%xmm1 + vpaddq %xmm1,%xmm13,%xmm13 + vpshufd $0x10,-16(%rdi),%xmm4 + vpmuludq %xmm6,%xmm2,%xmm0 + vpaddq %xmm0,%xmm12,%xmm12 + vpmuludq %xmm5,%xmm2,%xmm2 + vpaddq %xmm2,%xmm11,%xmm11 + vpmuludq %xmm9,%xmm3,%xmm3 + vpaddq %xmm3,%xmm10,%xmm10 + + vpshufd $0x10,0(%rdi),%xmm2 + vpmuludq %xmm7,%xmm4,%xmm1 + vpaddq %xmm1,%xmm14,%xmm14 + vpmuludq %xmm6,%xmm4,%xmm0 + vpaddq %xmm0,%xmm13,%xmm13 + vpshufd $0x10,16(%rdi),%xmm3 + vpmuludq %xmm5,%xmm4,%xmm4 + vpaddq %xmm4,%xmm12,%xmm12 + vpmuludq %xmm9,%xmm2,%xmm1 + vpaddq %xmm1,%xmm11,%xmm11 + vpshufd $0x10,32(%rdi),%xmm4 + vpmuludq %xmm8,%xmm2,%xmm2 + vpaddq %xmm2,%xmm10,%xmm10 + + vpmuludq %xmm6,%xmm3,%xmm0 + vpaddq %xmm0,%xmm14,%xmm14 + vpmuludq %xmm5,%xmm3,%xmm3 + vpaddq %xmm3,%xmm13,%xmm13 + vpshufd $0x10,48(%rdi),%xmm2 + vpmuludq %xmm9,%xmm4,%xmm1 + vpaddq %xmm1,%xmm12,%xmm12 + vpshufd $0x10,64(%rdi),%xmm3 + vpmuludq %xmm8,%xmm4,%xmm0 + vpaddq %xmm0,%xmm11,%xmm11 + vpmuludq %xmm7,%xmm4,%xmm4 + vpaddq %xmm4,%xmm10,%xmm10 + + vpmuludq %xmm5,%xmm2,%xmm2 + vpaddq %xmm2,%xmm14,%xmm14 + vpmuludq %xmm9,%xmm3,%xmm1 + vpaddq %xmm1,%xmm13,%xmm13 + vpmuludq %xmm8,%xmm3,%xmm0 + vpaddq %xmm0,%xmm12,%xmm12 + vpmuludq %xmm7,%xmm3,%xmm1 + vpaddq %xmm1,%xmm11,%xmm11 + vpmuludq %xmm6,%xmm3,%xmm3 + vpaddq %xmm3,%xmm10,%xmm10 + + jz L$short_tail_avx + + vmovdqu 0(%rsi),%xmm0 + vmovdqu 16(%rsi),%xmm1 + + vpsrldq $6,%xmm0,%xmm2 + vpsrldq $6,%xmm1,%xmm3 + vpunpckhqdq %xmm1,%xmm0,%xmm4 + vpunpcklqdq %xmm1,%xmm0,%xmm0 + vpunpcklqdq %xmm3,%xmm2,%xmm3 + + vpsrlq $40,%xmm4,%xmm4 + vpsrlq $26,%xmm0,%xmm1 + vpand %xmm15,%xmm0,%xmm0 + vpsrlq $4,%xmm3,%xmm2 + vpand %xmm15,%xmm1,%xmm1 + vpsrlq $30,%xmm3,%xmm3 + vpand %xmm15,%xmm2,%xmm2 + vpand %xmm15,%xmm3,%xmm3 + vpor 32(%rcx),%xmm4,%xmm4 + + vpshufd $0x32,-64(%rdi),%xmm9 + vpaddq 0(%r11),%xmm0,%xmm0 + vpaddq 16(%r11),%xmm1,%xmm1 + vpaddq 32(%r11),%xmm2,%xmm2 + vpaddq 48(%r11),%xmm3,%xmm3 + vpaddq 64(%r11),%xmm4,%xmm4 + + + + + vpmuludq %xmm0,%xmm9,%xmm5 + vpaddq %xmm5,%xmm10,%xmm10 + vpmuludq %xmm1,%xmm9,%xmm6 + vpaddq %xmm6,%xmm11,%xmm11 + vpmuludq %xmm2,%xmm9,%xmm5 + vpaddq %xmm5,%xmm12,%xmm12 + vpshufd $0x32,-48(%rdi),%xmm7 + vpmuludq %xmm3,%xmm9,%xmm6 + vpaddq %xmm6,%xmm13,%xmm13 + vpmuludq %xmm4,%xmm9,%xmm9 + vpaddq %xmm9,%xmm14,%xmm14 + + vpmuludq %xmm3,%xmm7,%xmm5 + vpaddq %xmm5,%xmm14,%xmm14 + vpshufd $0x32,-32(%rdi),%xmm8 + vpmuludq %xmm2,%xmm7,%xmm6 + vpaddq %xmm6,%xmm13,%xmm13 + vpshufd $0x32,-16(%rdi),%xmm9 + vpmuludq %xmm1,%xmm7,%xmm5 + vpaddq %xmm5,%xmm12,%xmm12 + vpmuludq %xmm0,%xmm7,%xmm7 + vpaddq %xmm7,%xmm11,%xmm11 + vpmuludq %xmm4,%xmm8,%xmm8 + vpaddq %xmm8,%xmm10,%xmm10 + + vpshufd $0x32,0(%rdi),%xmm7 + vpmuludq %xmm2,%xmm9,%xmm6 + vpaddq %xmm6,%xmm14,%xmm14 + vpmuludq %xmm1,%xmm9,%xmm5 + vpaddq %xmm5,%xmm13,%xmm13 + vpshufd $0x32,16(%rdi),%xmm8 + vpmuludq %xmm0,%xmm9,%xmm9 + vpaddq %xmm9,%xmm12,%xmm12 + vpmuludq %xmm4,%xmm7,%xmm6 + vpaddq %xmm6,%xmm11,%xmm11 + vpshufd $0x32,32(%rdi),%xmm9 + vpmuludq %xmm3,%xmm7,%xmm7 + vpaddq %xmm7,%xmm10,%xmm10 + + vpmuludq %xmm1,%xmm8,%xmm5 + vpaddq %xmm5,%xmm14,%xmm14 + vpmuludq %xmm0,%xmm8,%xmm8 + vpaddq %xmm8,%xmm13,%xmm13 + vpshufd $0x32,48(%rdi),%xmm7 + vpmuludq %xmm4,%xmm9,%xmm6 + vpaddq %xmm6,%xmm12,%xmm12 + vpshufd $0x32,64(%rdi),%xmm8 + vpmuludq %xmm3,%xmm9,%xmm5 + vpaddq %xmm5,%xmm11,%xmm11 + vpmuludq %xmm2,%xmm9,%xmm9 + vpaddq %xmm9,%xmm10,%xmm10 + + vpmuludq %xmm0,%xmm7,%xmm7 + vpaddq %xmm7,%xmm14,%xmm14 + vpmuludq %xmm4,%xmm8,%xmm6 + vpaddq %xmm6,%xmm13,%xmm13 + vpmuludq %xmm3,%xmm8,%xmm5 + vpaddq %xmm5,%xmm12,%xmm12 + vpmuludq %xmm2,%xmm8,%xmm6 + vpaddq %xmm6,%xmm11,%xmm11 + vpmuludq %xmm1,%xmm8,%xmm8 + vpaddq %xmm8,%xmm10,%xmm10 + +L$short_tail_avx: + + + + vpsrldq $8,%xmm14,%xmm9 + vpsrldq $8,%xmm13,%xmm8 + vpsrldq $8,%xmm11,%xmm6 + vpsrldq $8,%xmm10,%xmm5 + vpsrldq $8,%xmm12,%xmm7 + vpaddq %xmm8,%xmm13,%xmm13 + vpaddq %xmm9,%xmm14,%xmm14 + vpaddq %xmm5,%xmm10,%xmm10 + vpaddq %xmm6,%xmm11,%xmm11 + vpaddq %xmm7,%xmm12,%xmm12 + + + + + vpsrlq $26,%xmm13,%xmm3 + vpand %xmm15,%xmm13,%xmm13 + vpaddq %xmm3,%xmm14,%xmm14 + + vpsrlq $26,%xmm10,%xmm0 + vpand %xmm15,%xmm10,%xmm10 + vpaddq %xmm0,%xmm11,%xmm11 + + vpsrlq $26,%xmm14,%xmm4 + vpand %xmm15,%xmm14,%xmm14 + + vpsrlq $26,%xmm11,%xmm1 + vpand %xmm15,%xmm11,%xmm11 + vpaddq %xmm1,%xmm12,%xmm12 + + vpaddq %xmm4,%xmm10,%xmm10 + vpsllq $2,%xmm4,%xmm4 + vpaddq %xmm4,%xmm10,%xmm10 + + vpsrlq $26,%xmm12,%xmm2 + vpand %xmm15,%xmm12,%xmm12 + vpaddq %xmm2,%xmm13,%xmm13 + + vpsrlq $26,%xmm10,%xmm0 + vpand %xmm15,%xmm10,%xmm10 + vpaddq %xmm0,%xmm11,%xmm11 + + vpsrlq $26,%xmm13,%xmm3 + vpand %xmm15,%xmm13,%xmm13 + vpaddq %xmm3,%xmm14,%xmm14 + + vmovd %xmm10,-112(%rdi) + vmovd %xmm11,-108(%rdi) + vmovd %xmm12,-104(%rdi) + vmovd %xmm13,-100(%rdi) + vmovd %xmm14,-96(%rdi) + leaq 88(%r11),%rsp +.cfi_def_cfa %rsp,8 + vzeroupper + .byte 0xf3,0xc3 +.cfi_endproc + + +.p2align 5 +crypton_poly1305_asm_blocks_avx2: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + movl 20(%rdi),%r8d + cmpq $128,%rdx + jb L$blocks + + andq $-16,%rdx + + vzeroupper + + testl %r8d,%r8d + jz L$base2_64_avx2 + + testq $63,%rdx + jz L$even_avx2 + + pushq %rbx +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbx,-16 + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-24 + pushq %r12 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r15,-56 + leaq -8(%rsp),%rsp +.cfi_adjust_cfa_offset 8 +L$blocks_avx2_body: + + movq %rdx,%r15 + + movq 0(%rdi),%r8 + movq 8(%rdi),%r9 + movl 16(%rdi),%ebp + + movq 24(%rdi),%r11 + movq 32(%rdi),%r13 + + + movl %r8d,%r14d + andq $-2147483648,%r8 + movq %r9,%r12 + movl %r9d,%ebx + andq $-2147483648,%r9 + + shrq $6,%r8 + shlq $52,%r12 + addq %r8,%r14 + shrq $12,%rbx + shrq $18,%r9 + addq %r12,%r14 + adcq %r9,%rbx + + movq %rbp,%r8 + shlq $40,%r8 + shrq $24,%rbp + addq %r8,%rbx + adcq $0,%rbp + + movq %r13,%r12 + movq %r13,%rax + shrq $2,%r13 + addq %r12,%r13 + +L$base2_26_pre_avx2: + addq 0(%rsi),%r14 + adcq 8(%rsi),%rbx + leaq 16(%rsi),%rsi + adcq %rcx,%rbp + subq $16,%r15 + + call __crypton_poly1305_asm_block + movq %r12,%rax + + testq $63,%r15 + jnz L$base2_26_pre_avx2 + + + movq %r14,%rax + movq %r14,%rdx + shrq $52,%r14 + movq %rbx,%r11 + movq %rbx,%r12 + shrq $26,%rdx + andq $0x3ffffff,%rax + shlq $12,%r11 + andq $0x3ffffff,%rdx + shrq $14,%rbx + orq %r11,%r14 + shlq $24,%rbp + andq $0x3ffffff,%r14 + shrq $40,%r12 + andq $0x3ffffff,%rbx + orq %r12,%rbp + + vmovd %eax,%xmm0 + vmovd %edx,%xmm1 + vmovd %r14d,%xmm2 + vmovd %ebx,%xmm3 + vmovd %ebp,%xmm4 + + movq %r15,%rdx + + movq 8(%rsp),%r15 +.cfi_restore %r15 + movq 16(%rsp),%r14 +.cfi_restore %r14 + movq 24(%rsp),%r13 +.cfi_restore %r13 + movq 32(%rsp),%r12 +.cfi_restore %r12 + movq 40(%rsp),%rbp +.cfi_restore %rbp + movq 48(%rsp),%rbx +.cfi_restore %rbx + leaq 56(%rsp),%rax + leaq 56(%rsp),%rsp +.cfi_adjust_cfa_offset -56 +L$blocks_avx2_epilogue: + jmp L$do_avx2 +.cfi_endproc + +.p2align 5 +L$base2_64_avx2: +.cfi_startproc + pushq %rbx +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbx,-16 + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-24 + pushq %r12 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_adjust_cfa_offset 8 +.cfi_offset %r15,-56 + leaq -8(%rsp),%rsp +.cfi_adjust_cfa_offset 8 +L$base2_64_avx2_body: + + movq %rdx,%r15 + + movq 24(%rdi),%r11 + movq 32(%rdi),%r13 + + movq 0(%rdi),%r14 + movq 8(%rdi),%rbx + movl 16(%rdi),%ebp + + movq %r13,%r12 + movq %r13,%rax + shrq $2,%r13 + addq %r12,%r13 + + testq $63,%rdx + jz L$init_avx2 + +L$base2_64_pre_avx2: + addq 0(%rsi),%r14 + adcq 8(%rsi),%rbx + leaq 16(%rsi),%rsi + adcq %rcx,%rbp + subq $16,%r15 + + call __crypton_poly1305_asm_block + movq %r12,%rax + + testq $63,%r15 + jnz L$base2_64_pre_avx2 + +L$init_avx2: + + movq %r14,%rax + movq %r14,%rdx + shrq $52,%r14 + movq %rbx,%r8 + movq %rbx,%r9 + shrq $26,%rdx + andq $0x3ffffff,%rax + shlq $12,%r8 + andq $0x3ffffff,%rdx + shrq $14,%rbx + orq %r8,%r14 + shlq $24,%rbp + andq $0x3ffffff,%r14 + shrq $40,%r9 + andq $0x3ffffff,%rbx + orq %r9,%rbp + + vmovd %eax,%xmm0 + vmovd %edx,%xmm1 + vmovd %r14d,%xmm2 + vmovd %ebx,%xmm3 + vmovd %ebp,%xmm4 + movl $1,20(%rdi) + + call __crypton_poly1305_asm_init_avx + + movq %r15,%rdx + + movq 8(%rsp),%r15 +.cfi_restore %r15 + movq 16(%rsp),%r14 +.cfi_restore %r14 + movq 24(%rsp),%r13 +.cfi_restore %r13 + movq 32(%rsp),%r12 +.cfi_restore %r12 + movq 40(%rsp),%rbp +.cfi_restore %rbp + movq 48(%rsp),%rbx +.cfi_restore %rbx + leaq 56(%rsp),%rax + leaq 56(%rsp),%rsp +.cfi_adjust_cfa_offset -56 +L$base2_64_avx2_epilogue: + jmp L$do_avx2 +.cfi_endproc + +.p2align 5 +L$even_avx2: +.cfi_startproc + vmovd 0(%rdi),%xmm0 + vmovd 4(%rdi),%xmm1 + vmovd 8(%rdi),%xmm2 + vmovd 12(%rdi),%xmm3 + vmovd 16(%rdi),%xmm4 + +L$do_avx2: + leaq -8(%rsp),%r11 +.cfi_def_cfa %r11,16 + subq $0x128,%rsp + leaq L$const(%rip),%rcx + leaq 48+64(%rdi),%rdi + vmovdqa 96(%rcx),%ymm7 + + + vmovdqu -64(%rdi),%xmm9 + andq $-512,%rsp + vmovdqu -48(%rdi),%xmm10 + vmovdqu -32(%rdi),%xmm6 + vmovdqu -16(%rdi),%xmm11 + vmovdqu 0(%rdi),%xmm12 + vmovdqu 16(%rdi),%xmm13 + leaq 144(%rsp),%rax + vmovdqu 32(%rdi),%xmm14 + vpermd %ymm9,%ymm7,%ymm9 + vmovdqu 48(%rdi),%xmm15 + vpermd %ymm10,%ymm7,%ymm10 + vmovdqu 64(%rdi),%xmm5 + vpermd %ymm6,%ymm7,%ymm6 + vmovdqa %ymm9,0(%rsp) + vpermd %ymm11,%ymm7,%ymm11 + vmovdqa %ymm10,32-144(%rax) + vpermd %ymm12,%ymm7,%ymm12 + vmovdqa %ymm6,64-144(%rax) + vpermd %ymm13,%ymm7,%ymm13 + vmovdqa %ymm11,96-144(%rax) + vpermd %ymm14,%ymm7,%ymm14 + vmovdqa %ymm12,128-144(%rax) + vpermd %ymm15,%ymm7,%ymm15 + vmovdqa %ymm13,160-144(%rax) + vpermd %ymm5,%ymm7,%ymm5 + vmovdqa %ymm14,192-144(%rax) + vmovdqa %ymm15,224-144(%rax) + vmovdqa %ymm5,256-144(%rax) + vmovdqa 64(%rcx),%ymm5 + + + + vmovdqu 0(%rsi),%xmm7 + vmovdqu 16(%rsi),%xmm8 + vinserti128 $1,32(%rsi),%ymm7,%ymm7 + vinserti128 $1,48(%rsi),%ymm8,%ymm8 + leaq 64(%rsi),%rsi + + vpsrldq $6,%ymm7,%ymm9 + vpsrldq $6,%ymm8,%ymm10 + vpunpckhqdq %ymm8,%ymm7,%ymm6 + vpunpcklqdq %ymm10,%ymm9,%ymm9 + vpunpcklqdq %ymm8,%ymm7,%ymm7 + + vpsrlq $30,%ymm9,%ymm10 + vpsrlq $4,%ymm9,%ymm9 + vpsrlq $26,%ymm7,%ymm8 + vpsrlq $40,%ymm6,%ymm6 + vpand %ymm5,%ymm9,%ymm9 + vpand %ymm5,%ymm7,%ymm7 + vpand %ymm5,%ymm8,%ymm8 + vpand %ymm5,%ymm10,%ymm10 + vpor 32(%rcx),%ymm6,%ymm6 + + vpaddq %ymm2,%ymm9,%ymm2 + subq $64,%rdx + jz L$tail_avx2 + jmp L$oop_avx2 + +.p2align 5 +L$oop_avx2: + + + + + + + + + vpaddq %ymm0,%ymm7,%ymm0 + vmovdqa 0(%rsp),%ymm7 + vpaddq %ymm1,%ymm8,%ymm1 + vmovdqa 32(%rsp),%ymm8 + vpaddq %ymm3,%ymm10,%ymm3 + vmovdqa 96(%rsp),%ymm9 + vpaddq %ymm4,%ymm6,%ymm4 + vmovdqa 48(%rax),%ymm10 + vmovdqa 112(%rax),%ymm5 + + + + + + + + + + + + + + + + + vpmuludq %ymm2,%ymm7,%ymm13 + vpmuludq %ymm2,%ymm8,%ymm14 + vpmuludq %ymm2,%ymm9,%ymm15 + vpmuludq %ymm2,%ymm10,%ymm11 + vpmuludq %ymm2,%ymm5,%ymm12 + + vpmuludq %ymm0,%ymm8,%ymm6 + vpmuludq %ymm1,%ymm8,%ymm2 + vpaddq %ymm6,%ymm12,%ymm12 + vpaddq %ymm2,%ymm13,%ymm13 + vpmuludq %ymm3,%ymm8,%ymm6 + vpmuludq 64(%rsp),%ymm4,%ymm2 + vpaddq %ymm6,%ymm15,%ymm15 + vpaddq %ymm2,%ymm11,%ymm11 + vmovdqa -16(%rax),%ymm8 + + vpmuludq %ymm0,%ymm7,%ymm6 + vpmuludq %ymm1,%ymm7,%ymm2 + vpaddq %ymm6,%ymm11,%ymm11 + vpaddq %ymm2,%ymm12,%ymm12 + vpmuludq %ymm3,%ymm7,%ymm6 + vpmuludq %ymm4,%ymm7,%ymm2 + vmovdqu 0(%rsi),%xmm7 + vpaddq %ymm6,%ymm14,%ymm14 + vpaddq %ymm2,%ymm15,%ymm15 + vinserti128 $1,32(%rsi),%ymm7,%ymm7 + + vpmuludq %ymm3,%ymm8,%ymm6 + vpmuludq %ymm4,%ymm8,%ymm2 + vmovdqu 16(%rsi),%xmm8 + vpaddq %ymm6,%ymm11,%ymm11 + vpaddq %ymm2,%ymm12,%ymm12 + vmovdqa 16(%rax),%ymm2 + vpmuludq %ymm1,%ymm9,%ymm6 + vpmuludq %ymm0,%ymm9,%ymm9 + vpaddq %ymm6,%ymm14,%ymm14 + vpaddq %ymm9,%ymm13,%ymm13 + vinserti128 $1,48(%rsi),%ymm8,%ymm8 + leaq 64(%rsi),%rsi + + vpmuludq %ymm1,%ymm2,%ymm6 + vpmuludq %ymm0,%ymm2,%ymm2 + vpsrldq $6,%ymm7,%ymm9 + vpaddq %ymm6,%ymm15,%ymm15 + vpaddq %ymm2,%ymm14,%ymm14 + vpmuludq %ymm3,%ymm10,%ymm6 + vpmuludq %ymm4,%ymm10,%ymm2 + vpsrldq $6,%ymm8,%ymm10 + vpaddq %ymm6,%ymm12,%ymm12 + vpaddq %ymm2,%ymm13,%ymm13 + vpunpckhqdq %ymm8,%ymm7,%ymm6 + + vpmuludq %ymm3,%ymm5,%ymm3 + vpmuludq %ymm4,%ymm5,%ymm4 + vpunpcklqdq %ymm8,%ymm7,%ymm7 + vpaddq %ymm3,%ymm13,%ymm2 + vpaddq %ymm4,%ymm14,%ymm3 + vpunpcklqdq %ymm10,%ymm9,%ymm10 + vpmuludq 80(%rax),%ymm0,%ymm4 + vpmuludq %ymm1,%ymm5,%ymm0 + vmovdqa 64(%rcx),%ymm5 + vpaddq %ymm4,%ymm15,%ymm4 + vpaddq %ymm0,%ymm11,%ymm0 + + + + + vpsrlq $26,%ymm3,%ymm14 + vpand %ymm5,%ymm3,%ymm3 + vpaddq %ymm14,%ymm4,%ymm4 + + vpsrlq $26,%ymm0,%ymm11 + vpand %ymm5,%ymm0,%ymm0 + vpaddq %ymm11,%ymm12,%ymm1 + + vpsrlq $26,%ymm4,%ymm15 + vpand %ymm5,%ymm4,%ymm4 + + vpsrlq $4,%ymm10,%ymm9 + + vpsrlq $26,%ymm1,%ymm12 + vpand %ymm5,%ymm1,%ymm1 + vpaddq %ymm12,%ymm2,%ymm2 + + vpaddq %ymm15,%ymm0,%ymm0 + vpsllq $2,%ymm15,%ymm15 + vpaddq %ymm15,%ymm0,%ymm0 + + vpand %ymm5,%ymm9,%ymm9 + vpsrlq $26,%ymm7,%ymm8 + + vpsrlq $26,%ymm2,%ymm13 + vpand %ymm5,%ymm2,%ymm2 + vpaddq %ymm13,%ymm3,%ymm3 + + vpaddq %ymm9,%ymm2,%ymm2 + vpsrlq $30,%ymm10,%ymm10 + + vpsrlq $26,%ymm0,%ymm11 + vpand %ymm5,%ymm0,%ymm0 + vpaddq %ymm11,%ymm1,%ymm1 + + vpsrlq $40,%ymm6,%ymm6 + + vpsrlq $26,%ymm3,%ymm14 + vpand %ymm5,%ymm3,%ymm3 + vpaddq %ymm14,%ymm4,%ymm4 + + vpand %ymm5,%ymm7,%ymm7 + vpand %ymm5,%ymm8,%ymm8 + vpand %ymm5,%ymm10,%ymm10 + vpor 32(%rcx),%ymm6,%ymm6 + + subq $64,%rdx + jnz L$oop_avx2 + +.byte 0x66,0x90 +L$tail_avx2: + + + + + + + + vpaddq %ymm0,%ymm7,%ymm0 + vmovdqu 4(%rsp),%ymm7 + vpaddq %ymm1,%ymm8,%ymm1 + vmovdqu 36(%rsp),%ymm8 + vpaddq %ymm3,%ymm10,%ymm3 + vmovdqu 100(%rsp),%ymm9 + vpaddq %ymm4,%ymm6,%ymm4 + vmovdqu 52(%rax),%ymm10 + vmovdqu 116(%rax),%ymm5 + + vpmuludq %ymm2,%ymm7,%ymm13 + vpmuludq %ymm2,%ymm8,%ymm14 + vpmuludq %ymm2,%ymm9,%ymm15 + vpmuludq %ymm2,%ymm10,%ymm11 + vpmuludq %ymm2,%ymm5,%ymm12 + + vpmuludq %ymm0,%ymm8,%ymm6 + vpmuludq %ymm1,%ymm8,%ymm2 + vpaddq %ymm6,%ymm12,%ymm12 + vpaddq %ymm2,%ymm13,%ymm13 + vpmuludq %ymm3,%ymm8,%ymm6 + vpmuludq 68(%rsp),%ymm4,%ymm2 + vpaddq %ymm6,%ymm15,%ymm15 + vpaddq %ymm2,%ymm11,%ymm11 + + vpmuludq %ymm0,%ymm7,%ymm6 + vpmuludq %ymm1,%ymm7,%ymm2 + vpaddq %ymm6,%ymm11,%ymm11 + vmovdqu -12(%rax),%ymm8 + vpaddq %ymm2,%ymm12,%ymm12 + vpmuludq %ymm3,%ymm7,%ymm6 + vpmuludq %ymm4,%ymm7,%ymm2 + vpaddq %ymm6,%ymm14,%ymm14 + vpaddq %ymm2,%ymm15,%ymm15 + + vpmuludq %ymm3,%ymm8,%ymm6 + vpmuludq %ymm4,%ymm8,%ymm2 + vpaddq %ymm6,%ymm11,%ymm11 + vpaddq %ymm2,%ymm12,%ymm12 + vmovdqu 20(%rax),%ymm2 + vpmuludq %ymm1,%ymm9,%ymm6 + vpmuludq %ymm0,%ymm9,%ymm9 + vpaddq %ymm6,%ymm14,%ymm14 + vpaddq %ymm9,%ymm13,%ymm13 + + vpmuludq %ymm1,%ymm2,%ymm6 + vpmuludq %ymm0,%ymm2,%ymm2 + vpaddq %ymm6,%ymm15,%ymm15 + vpaddq %ymm2,%ymm14,%ymm14 + vpmuludq %ymm3,%ymm10,%ymm6 + vpmuludq %ymm4,%ymm10,%ymm2 + vpaddq %ymm6,%ymm12,%ymm12 + vpaddq %ymm2,%ymm13,%ymm13 + + vpmuludq %ymm3,%ymm5,%ymm3 + vpmuludq %ymm4,%ymm5,%ymm4 + vpaddq %ymm3,%ymm13,%ymm2 + vpaddq %ymm4,%ymm14,%ymm3 + vpmuludq 84(%rax),%ymm0,%ymm4 + vpmuludq %ymm1,%ymm5,%ymm0 + vmovdqa 64(%rcx),%ymm5 + vpaddq %ymm4,%ymm15,%ymm4 + vpaddq %ymm0,%ymm11,%ymm0 + + + + + vpsrldq $8,%ymm12,%ymm8 + vpsrldq $8,%ymm2,%ymm9 + vpsrldq $8,%ymm3,%ymm10 + vpsrldq $8,%ymm4,%ymm6 + vpsrldq $8,%ymm0,%ymm7 + vpaddq %ymm8,%ymm12,%ymm12 + vpaddq %ymm9,%ymm2,%ymm2 + vpaddq %ymm10,%ymm3,%ymm3 + vpaddq %ymm6,%ymm4,%ymm4 + vpaddq %ymm7,%ymm0,%ymm0 + + vpermq $0x2,%ymm3,%ymm10 + vpermq $0x2,%ymm4,%ymm6 + vpermq $0x2,%ymm0,%ymm7 + vpermq $0x2,%ymm12,%ymm8 + vpermq $0x2,%ymm2,%ymm9 + vpaddq %ymm10,%ymm3,%ymm3 + vpaddq %ymm6,%ymm4,%ymm4 + vpaddq %ymm7,%ymm0,%ymm0 + vpaddq %ymm8,%ymm12,%ymm12 + vpaddq %ymm9,%ymm2,%ymm2 + + + + + vpsrlq $26,%ymm3,%ymm14 + vpand %ymm5,%ymm3,%ymm3 + vpaddq %ymm14,%ymm4,%ymm4 + + vpsrlq $26,%ymm0,%ymm11 + vpand %ymm5,%ymm0,%ymm0 + vpaddq %ymm11,%ymm12,%ymm1 + + vpsrlq $26,%ymm4,%ymm15 + vpand %ymm5,%ymm4,%ymm4 + + vpsrlq $26,%ymm1,%ymm12 + vpand %ymm5,%ymm1,%ymm1 + vpaddq %ymm12,%ymm2,%ymm2 + + vpaddq %ymm15,%ymm0,%ymm0 + vpsllq $2,%ymm15,%ymm15 + vpaddq %ymm15,%ymm0,%ymm0 + + vpsrlq $26,%ymm2,%ymm13 + vpand %ymm5,%ymm2,%ymm2 + vpaddq %ymm13,%ymm3,%ymm3 + + vpsrlq $26,%ymm0,%ymm11 + vpand %ymm5,%ymm0,%ymm0 + vpaddq %ymm11,%ymm1,%ymm1 + + vpsrlq $26,%ymm3,%ymm14 + vpand %ymm5,%ymm3,%ymm3 + vpaddq %ymm14,%ymm4,%ymm4 + + vmovd %xmm0,-112(%rdi) + vmovd %xmm1,-108(%rdi) + vmovd %xmm2,-104(%rdi) + vmovd %xmm3,-100(%rdi) + vmovd %xmm4,-96(%rdi) + leaq 8(%r11),%rsp +.cfi_def_cfa %rsp,8 + vzeroupper + .byte 0xf3,0xc3 +.cfi_endproc + +.p2align 6 +L$const: +L$mask24: +.long 0x0ffffff,0,0x0ffffff,0,0x0ffffff,0,0x0ffffff,0 +L$129: +.long 16777216,0,16777216,0,16777216,0,16777216,0 +L$mask26: +.long 0x3ffffff,0,0x3ffffff,0,0x3ffffff,0,0x3ffffff,0 +L$permd_avx2: +.long 2,2,2,3,2,0,2,1 +L$permd_avx512: +.long 0,0,0,1, 0,2,0,3, 0,4,0,5, 0,6,0,7 + +L$2_44_inp_permd: +.long 0,1,1,2,2,3,7,7 +L$2_44_inp_shift: +.quad 0,12,24,64 +L$2_44_mask: +.quad 0xfffffffffff,0xfffffffffff,0x3ffffffffff,0xffffffffffffffff +L$2_44_shift_rgt: +.quad 44,44,42,64 +L$2_44_shift_lft: +.quad 8,8,10,64 + +.p2align 6 +L$x_mask44: +.quad 0xfffffffffff,0xfffffffffff,0xfffffffffff,0xfffffffffff +.quad 0xfffffffffff,0xfffffffffff,0xfffffffffff,0xfffffffffff +L$x_mask42: +.quad 0x3ffffffffff,0x3ffffffffff,0x3ffffffffff,0x3ffffffffff +.quad 0x3ffffffffff,0x3ffffffffff,0x3ffffffffff,0x3ffffffffff +.byte 80,111,108,121,49,51,48,53,32,102,111,114,32,120,56,54,95,54,52,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.p2align 4 +.globl _crypton_xor128_encrypt_n_pad + +.p2align 4 +_crypton_xor128_encrypt_n_pad: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + subq %rdx,%rsi + subq %rdx,%rdi + movq %rcx,%r10 + shrq $4,%rcx + jz L$tail_enc + nop +L$oop_enc_xmm: + movdqu (%rsi,%rdx,1),%xmm0 + pxor (%rdx),%xmm0 + movdqu %xmm0,(%rdi,%rdx,1) + movdqa %xmm0,(%rdx) + leaq 16(%rdx),%rdx + decq %rcx + jnz L$oop_enc_xmm + + andq $15,%r10 + jz L$done_enc + +L$tail_enc: + movq $16,%rcx + subq %r10,%rcx + xorl %eax,%eax +L$oop_enc_byte: + movb (%rsi,%rdx,1),%al + xorb (%rdx),%al + movb %al,(%rdi,%rdx,1) + movb %al,(%rdx) + leaq 1(%rdx),%rdx + decq %r10 + jnz L$oop_enc_byte + + xorl %eax,%eax +L$oop_enc_pad: + movb %al,(%rdx) + leaq 1(%rdx),%rdx + decq %rcx + jnz L$oop_enc_pad + +L$done_enc: + movq %rdx,%rax + .byte 0xf3,0xc3 +.cfi_endproc + + +.globl _crypton_xor128_decrypt_n_pad + +.p2align 4 +_crypton_xor128_decrypt_n_pad: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + subq %rdx,%rsi + subq %rdx,%rdi + movq %rcx,%r10 + shrq $4,%rcx + jz L$tail_dec + nop +L$oop_dec_xmm: + movdqu (%rsi,%rdx,1),%xmm0 + movdqa (%rdx),%xmm1 + pxor %xmm0,%xmm1 + movdqu %xmm1,(%rdi,%rdx,1) + movdqa %xmm0,(%rdx) + leaq 16(%rdx),%rdx + decq %rcx + jnz L$oop_dec_xmm + + pxor %xmm1,%xmm1 + andq $15,%r10 + jz L$done_dec + +L$tail_dec: + movq $16,%rcx + subq %r10,%rcx + xorl %eax,%eax + xorq %r11,%r11 +L$oop_dec_byte: + movb (%rsi,%rdx,1),%r11b + movb (%rdx),%al + xorb %r11b,%al + movb %al,(%rdi,%rdx,1) + movb %r11b,(%rdx) + leaq 1(%rdx),%rdx + decq %r10 + jnz L$oop_dec_byte + + xorl %eax,%eax +L$oop_dec_pad: + movb %al,(%rdx) + leaq 1(%rdx),%rdx + decq %rcx + jnz L$oop_dec_pad + +L$done_dec: + movq %rdx,%rax + .byte 0xf3,0xc3 +.cfi_endproc + diff --git a/cbits/asm/poly1305-x86_64-mingw64.S b/cbits/asm/poly1305-x86_64-mingw64.S new file mode 100644 --- /dev/null +++ b/cbits/asm/poly1305-x86_64-mingw64.S @@ -0,0 +1,2281 @@ +.text + + + +.globl crypton_poly1305_asm_init + +.globl crypton_poly1305_asm_blocks + +.globl crypton_poly1305_asm_emit + + +.def crypton_poly1305_asm_init; .scl 2; .type 32; .endef +.p2align 5 +crypton_poly1305_asm_init: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%rax +.LSEH_begin_crypton_poly1305_asm_init: + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx + xorq %rax,%rax + movq %rax,0(%rdi) + movq %rax,8(%rdi) + movq %rax,16(%rdi) + + cmpq $0,%rsi + je .Lno_key + + movq $0x0ffffffc0fffffff,%rax + leaq -3(%rax),%rcx + andq 0(%rsi),%rax + andq 8(%rsi),%rcx + movq %rax,24(%rdi) + movq %rcx,32(%rdi) + movl $-1,48(%rdi) + leaq crypton_poly1305_asm_blocks(%rip),%r10 + leaq crypton_poly1305_asm_emit(%rip),%r11 + movq crypton_ia32cap_P+4(%rip),%r9 + leaq crypton_poly1305_asm_blocks_avx(%rip),%rax + btq $28,%r9 + cmovcq %rax,%r10 + leaq crypton_poly1305_asm_blocks_avx2(%rip),%rax + btq $37,%r9 + cmovcq %rax,%r10 + movq %r10,0(%rdx) + movq %r11,8(%rdx) + movl $1,%eax +.Lno_key: + movq 8(%rsp),%rdi + movq 16(%rsp),%rsi + .byte 0xf3,0xc3 +.LSEH_end_crypton_poly1305_asm_init: + +.def crypton_poly1305_asm_blocks; .scl 2; .type 32; .endef +.p2align 5 +crypton_poly1305_asm_blocks: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%rax +.LSEH_begin_crypton_poly1305_asm_blocks: + + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx + movq %r9,%rcx +.Lblocks: + shrq $4,%rdx + jz .Lno_data + + pushq %rbx + + pushq %rbp + + pushq %r12 + + pushq %r13 + + pushq %r14 + + pushq %r15 + + leaq -8(%rsp),%rsp + +.Lblocks_body: + + movq %rdx,%r15 + + movq 24(%rdi),%r11 + movq 32(%rdi),%r13 + + movq 0(%rdi),%r14 + movq 8(%rdi),%rbx + movq 16(%rdi),%rbp + + movl %r14d,%eax + movl 4(%rdi),%edx + movl %ebx,%r8d + movl 12(%rdi),%r10d + movl %ebp,%r12d + + shlq $26,%rdx + movq %r8,%r9 + shlq $52,%r8 + addq %rdx,%rax + shrq $12,%r9 + addq %rax,%r8 + adcq $0,%r9 + + shlq $14,%r10 + movq %r12,%rax + shrq $24,%r12 + addq %r10,%r9 + shlq $40,%rax + addq %rax,%r9 + adcq $0,%r12 + + cmpq $4,%rbp + + cmovaq %r8,%r14 + cmovaq %r9,%rbx + cmovaq %r12,%rbp + + movq %r13,%r12 + shrq $2,%r13 + movq %r12,%rax + addq %r12,%r13 + jmp .Loop + +.p2align 5 +.Loop: + addq 0(%rsi),%r14 + adcq 8(%rsi),%rbx + leaq 16(%rsi),%rsi + adcq %rcx,%rbp + mulq %r14 + movq %rax,%r9 + movq %r11,%rax + movq %rdx,%r10 + + mulq %r14 + movq %rax,%r14 + movq %r11,%rax + movq %rdx,%r8 + + mulq %rbx + addq %rax,%r9 + movq %r13,%rax + adcq %rdx,%r10 + + mulq %rbx + movq %rbp,%rbx + addq %rax,%r14 + adcq %rdx,%r8 + + imulq %r13,%rbx + addq %rbx,%r9 + movq %r8,%rbx + adcq $0,%r10 + + imulq %r11,%rbp + addq %r9,%rbx + movq $-4,%rax + adcq %rbp,%r10 + + andq %r10,%rax + movq %r10,%rbp + shrq $2,%r10 + andq $3,%rbp + addq %r10,%rax + addq %rax,%r14 + adcq $0,%rbx + adcq $0,%rbp + movq %r12,%rax + decq %r15 + jnz .Loop + + movq %r14,0(%rdi) + movq %rbx,8(%rdi) + movq %rbp,16(%rdi) + + movq 8(%rsp),%r15 + + movq 16(%rsp),%r14 + + movq 24(%rsp),%r13 + + movq 32(%rsp),%r12 + + movq 40(%rsp),%rbp + + movq 48(%rsp),%rbx + + leaq 56(%rsp),%rsp + +.Lno_data: +.Lblocks_epilogue: + movq 8(%rsp),%rdi + movq 16(%rsp),%rsi + .byte 0xf3,0xc3 + +.LSEH_end_crypton_poly1305_asm_blocks: + +.def crypton_poly1305_asm_emit; .scl 2; .type 32; .endef +.p2align 5 +crypton_poly1305_asm_emit: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%rax +.LSEH_begin_crypton_poly1305_asm_emit: + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx + movl 0(%rdi),%eax + movl 4(%rdi),%ecx + movl 8(%rdi),%r8d + movl 12(%rdi),%r11d + movl 16(%rdi),%r10d + + shlq $26,%rcx + movq %r8,%r9 + shlq $52,%r8 + addq %rcx,%rax + shrq $12,%r9 + addq %rax,%r8 + adcq $0,%r9 + + shlq $14,%r11 + movq %r10,%rax + shrq $24,%r10 + addq %r11,%r9 + movq 0(%rdi),%rcx + shlq $40,%rax + movq 8(%rdi),%r11 + addq %rax,%r9 + movq 16(%rdi),%rax + adcq $0,%r10 + + cmpq $4,%rax + + cmovbeq %rcx,%r8 + cmovbeq %r11,%r9 + cmovbeq %rax,%r10 + + movq %r8,%rax + addq $5,%r8 + movq %r9,%rcx + adcq $0,%r9 + adcq $0,%r10 + shrq $2,%r10 + cmovnzq %r8,%rax + cmovnzq %r9,%rcx + + addq 0(%rdx),%rax + adcq 8(%rdx),%rcx + movq %rax,0(%rsi) + movq %rcx,8(%rsi) + + movq 8(%rsp),%rdi + movq 16(%rsp),%rsi + .byte 0xf3,0xc3 +.LSEH_end_crypton_poly1305_asm_emit: +.def __crypton_poly1305_asm_block; .scl 3; .type 32; .endef +.p2align 5 +__crypton_poly1305_asm_block: + .byte 0xf3,0x0f,0x1e,0xfa + + mulq %r14 + movq %rax,%r9 + movq %r11,%rax + movq %rdx,%r10 + + mulq %r14 + movq %rax,%r14 + movq %r11,%rax + movq %rdx,%r8 + + mulq %rbx + addq %rax,%r9 + movq %r13,%rax + adcq %rdx,%r10 + + mulq %rbx + movq %rbp,%rbx + addq %rax,%r14 + adcq %rdx,%r8 + + imulq %r13,%rbx + addq %rbx,%r9 + movq %r8,%rbx + adcq $0,%r10 + + imulq %r11,%rbp + addq %r9,%rbx + movq $-4,%rax + adcq %rbp,%r10 + + andq %r10,%rax + movq %r10,%rbp + shrq $2,%r10 + andq $3,%rbp + addq %r10,%rax + addq %rax,%r14 + adcq $0,%rbx + adcq $0,%rbp + .byte 0xf3,0xc3 + + +.def __crypton_poly1305_asm_init_avx; .scl 3; .type 32; .endef +.p2align 5 +__crypton_poly1305_asm_init_avx: + .byte 0xf3,0x0f,0x1e,0xfa + + cmpl $-1,48(%rdi) + jne .Ldone_init_avx + + movq %r11,%r14 + movq %r12,%rbx + xorq %rbp,%rbp + + leaq 48+64(%rdi),%rdi + + movq %r12,%rax + call __crypton_poly1305_asm_block + + movl $0x3ffffff,%eax + movl $0x3ffffff,%edx + movq %r14,%r8 + andl %r14d,%eax + movq %r11,%r9 + andl %r11d,%edx + movl %eax,-64(%rdi) + shrq $26,%r8 + movl %edx,-60(%rdi) + shrq $26,%r9 + + movl $0x3ffffff,%eax + movl $0x3ffffff,%edx + andl %r8d,%eax + andl %r9d,%edx + movl %eax,-48(%rdi) + leal (%rax,%rax,4),%eax + movl %edx,-44(%rdi) + leal (%rdx,%rdx,4),%edx + movl %eax,-32(%rdi) + shrq $26,%r8 + movl %edx,-28(%rdi) + shrq $26,%r9 + + movq %rbx,%rax + movq %r12,%rdx + shlq $12,%rax + shlq $12,%rdx + orq %r8,%rax + orq %r9,%rdx + andl $0x3ffffff,%eax + andl $0x3ffffff,%edx + movl %eax,-16(%rdi) + leal (%rax,%rax,4),%eax + movl %edx,-12(%rdi) + leal (%rdx,%rdx,4),%edx + movl %eax,0(%rdi) + movq %rbx,%r8 + movl %edx,4(%rdi) + movq %r12,%r9 + + movl $0x3ffffff,%eax + movl $0x3ffffff,%edx + shrq $14,%r8 + shrq $14,%r9 + andl %r8d,%eax + andl %r9d,%edx + movl %eax,16(%rdi) + leal (%rax,%rax,4),%eax + movl %edx,20(%rdi) + leal (%rdx,%rdx,4),%edx + movl %eax,32(%rdi) + shrq $26,%r8 + movl %edx,36(%rdi) + shrq $26,%r9 + + movq %rbp,%rax + shlq $24,%rax + orq %rax,%r8 + movl %r8d,48(%rdi) + leaq (%r8,%r8,4),%r8 + movl %r9d,52(%rdi) + leaq (%r9,%r9,4),%r9 + movl %r8d,64(%rdi) + movl %r9d,68(%rdi) + + movq %r12,%rax + call __crypton_poly1305_asm_block + + movl $0x3ffffff,%eax + movq %r14,%r8 + andl %r14d,%eax + shrq $26,%r8 + movl %eax,-52(%rdi) + + movl $0x3ffffff,%edx + andl %r8d,%edx + movl %edx,-36(%rdi) + leal (%rdx,%rdx,4),%edx + shrq $26,%r8 + movl %edx,-20(%rdi) + + movq %rbx,%rax + shlq $12,%rax + orq %r8,%rax + andl $0x3ffffff,%eax + movl %eax,-4(%rdi) + leal (%rax,%rax,4),%eax + movq %rbx,%r8 + movl %eax,12(%rdi) + + movl $0x3ffffff,%edx + shrq $14,%r8 + andl %r8d,%edx + movl %edx,28(%rdi) + leal (%rdx,%rdx,4),%edx + shrq $26,%r8 + movl %edx,44(%rdi) + + movq %rbp,%rax + shlq $24,%rax + orq %rax,%r8 + movl %r8d,60(%rdi) + leaq (%r8,%r8,4),%r8 + movl %r8d,76(%rdi) + + movq %r12,%rax + call __crypton_poly1305_asm_block + + movl $0x3ffffff,%eax + movq %r14,%r8 + andl %r14d,%eax + shrq $26,%r8 + movl %eax,-56(%rdi) + + movl $0x3ffffff,%edx + andl %r8d,%edx + movl %edx,-40(%rdi) + leal (%rdx,%rdx,4),%edx + shrq $26,%r8 + movl %edx,-24(%rdi) + + movq %rbx,%rax + shlq $12,%rax + orq %r8,%rax + andl $0x3ffffff,%eax + movl %eax,-8(%rdi) + leal (%rax,%rax,4),%eax + movq %rbx,%r8 + movl %eax,8(%rdi) + + movl $0x3ffffff,%edx + shrq $14,%r8 + andl %r8d,%edx + movl %edx,24(%rdi) + leal (%rdx,%rdx,4),%edx + shrq $26,%r8 + movl %edx,40(%rdi) + + movq %rbp,%rax + shlq $24,%rax + orq %rax,%r8 + movl %r8d,56(%rdi) + leaq (%r8,%r8,4),%r8 + movl %r8d,72(%rdi) + + leaq -48-64(%rdi),%rdi +.Ldone_init_avx: + .byte 0xf3,0xc3 + + +.def crypton_poly1305_asm_blocks_avx; .scl 3; .type 32; .endef +.p2align 5 +crypton_poly1305_asm_blocks_avx: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%rax +.LSEH_begin_crypton_poly1305_asm_blocks_avx: + + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx + movq %r9,%rcx + movl 20(%rdi),%r8d + cmpq $128,%rdx + jb .Lblocks + + andq $-16,%rdx + + vzeroupper + + testl %r8d,%r8d + jz .Lbase2_64_avx + + testq $31,%rdx + jz .Leven_avx + + pushq %rbx + + pushq %rbp + + pushq %r12 + + pushq %r13 + + pushq %r14 + + pushq %r15 + + leaq -8(%rsp),%rsp + +.Lblocks_avx_body: + + movq %rdx,%r15 + + movq 0(%rdi),%r8 + movq 8(%rdi),%r9 + movl 16(%rdi),%ebp + + movq 24(%rdi),%r11 + movq 32(%rdi),%r13 + + + movl %r8d,%r14d + andq $-2147483648,%r8 + movq %r9,%r12 + movl %r9d,%ebx + andq $-2147483648,%r9 + + shrq $6,%r8 + shlq $52,%r12 + addq %r8,%r14 + shrq $12,%rbx + shrq $18,%r9 + addq %r12,%r14 + adcq %r9,%rbx + + movq %rbp,%r8 + shlq $40,%r8 + shrq $24,%rbp + addq %r8,%rbx + adcq $0,%rbp + + movq %r13,%r12 + movq %r13,%rax + shrq $2,%r13 + addq %r12,%r13 + + addq 0(%rsi),%r14 + adcq 8(%rsi),%rbx + leaq 16(%rsi),%rsi + adcq %rcx,%rbp + + call __crypton_poly1305_asm_block + + + movq %r14,%rax + movq %r14,%rdx + shrq $52,%r14 + movq %rbx,%r11 + movq %rbx,%r12 + shrq $26,%rdx + andq $0x3ffffff,%rax + shlq $12,%r11 + andq $0x3ffffff,%rdx + shrq $14,%rbx + orq %r11,%r14 + shlq $24,%rbp + andq $0x3ffffff,%r14 + shrq $40,%r12 + andq $0x3ffffff,%rbx + orq %r12,%rbp + + vmovd %eax,%xmm0 + vmovd %edx,%xmm1 + vmovd %r14d,%xmm2 + vmovd %ebx,%xmm3 + vmovd %ebp,%xmm4 + + leaq -16(%r15),%rdx + + movq 8(%rsp),%r15 + + movq 16(%rsp),%r14 + + movq 24(%rsp),%r13 + + movq 32(%rsp),%r12 + + movq 40(%rsp),%rbp + + movq 48(%rsp),%rbx + + leaq 56(%rsp),%rax + leaq 56(%rsp),%rsp + +.Lblocks_avx_epilogue: + jmp .Ldo_avx + + +.p2align 5 +.Lbase2_64_avx: + + pushq %rbx + + pushq %rbp + + pushq %r12 + + pushq %r13 + + pushq %r14 + + pushq %r15 + + leaq -8(%rsp),%rsp + +.Lbase2_64_avx_body: + + movq %rdx,%r15 + + movq 24(%rdi),%r11 + movq 32(%rdi),%r13 + + movq 0(%rdi),%r14 + movq 8(%rdi),%rbx + movl 16(%rdi),%ebp + + movq %r13,%r12 + movq %r13,%rax + shrq $2,%r13 + addq %r12,%r13 + + testq $31,%rdx + jz .Linit_avx + + addq 0(%rsi),%r14 + adcq 8(%rsi),%rbx + leaq 16(%rsi),%rsi + adcq %rcx,%rbp + subq $16,%r15 + + call __crypton_poly1305_asm_block + +.Linit_avx: + + movq %r14,%rax + movq %r14,%rdx + shrq $52,%r14 + movq %rbx,%r8 + movq %rbx,%r9 + shrq $26,%rdx + andq $0x3ffffff,%rax + shlq $12,%r8 + andq $0x3ffffff,%rdx + shrq $14,%rbx + orq %r8,%r14 + shlq $24,%rbp + andq $0x3ffffff,%r14 + shrq $40,%r9 + andq $0x3ffffff,%rbx + orq %r9,%rbp + + vmovd %eax,%xmm0 + vmovd %edx,%xmm1 + vmovd %r14d,%xmm2 + vmovd %ebx,%xmm3 + vmovd %ebp,%xmm4 + movl $1,20(%rdi) + + call __crypton_poly1305_asm_init_avx + + movq %r15,%rdx + + movq 8(%rsp),%r15 + + movq 16(%rsp),%r14 + + movq 24(%rsp),%r13 + + movq 32(%rsp),%r12 + + movq 40(%rsp),%rbp + + movq 48(%rsp),%rbx + + leaq 56(%rsp),%rax + leaq 56(%rsp),%rsp + +.Lbase2_64_avx_epilogue: + jmp .Ldo_avx + + +.p2align 5 +.Leven_avx: + + vmovd 0(%rdi),%xmm0 + vmovd 4(%rdi),%xmm1 + vmovd 8(%rdi),%xmm2 + vmovd 12(%rdi),%xmm3 + vmovd 16(%rdi),%xmm4 + +.Ldo_avx: + leaq -248(%rsp),%r11 + subq $0x218,%rsp + vmovdqa %xmm6,80(%r11) + vmovdqa %xmm7,96(%r11) + vmovdqa %xmm8,112(%r11) + vmovdqa %xmm9,128(%r11) + vmovdqa %xmm10,144(%r11) + vmovdqa %xmm11,160(%r11) + vmovdqa %xmm12,176(%r11) + vmovdqa %xmm13,192(%r11) + vmovdqa %xmm14,208(%r11) + vmovdqa %xmm15,224(%r11) +.Ldo_avx_body: + subq $64,%rdx + leaq -32(%rsi),%rax + cmovcq %rax,%rsi + + vmovdqu 48(%rdi),%xmm14 + leaq 112(%rdi),%rdi + leaq .Lconst(%rip),%rcx + + + + vmovdqu 32(%rsi),%xmm5 + vmovdqu 48(%rsi),%xmm6 + vmovdqa 64(%rcx),%xmm15 + + vpsrldq $6,%xmm5,%xmm7 + vpsrldq $6,%xmm6,%xmm8 + vpunpckhqdq %xmm6,%xmm5,%xmm9 + vpunpcklqdq %xmm6,%xmm5,%xmm5 + vpunpcklqdq %xmm8,%xmm7,%xmm8 + + vpsrlq $40,%xmm9,%xmm9 + vpsrlq $26,%xmm5,%xmm6 + vpand %xmm15,%xmm5,%xmm5 + vpsrlq $4,%xmm8,%xmm7 + vpand %xmm15,%xmm6,%xmm6 + vpsrlq $30,%xmm8,%xmm8 + vpand %xmm15,%xmm7,%xmm7 + vpand %xmm15,%xmm8,%xmm8 + vpor 32(%rcx),%xmm9,%xmm9 + + jbe .Lskip_loop_avx + + + vmovdqu -48(%rdi),%xmm11 + vmovdqu -32(%rdi),%xmm12 + vpshufd $0xEE,%xmm14,%xmm13 + vpshufd $0x44,%xmm14,%xmm10 + vmovdqa %xmm13,-144(%r11) + vmovdqa %xmm10,0(%rsp) + vpshufd $0xEE,%xmm11,%xmm14 + vmovdqu -16(%rdi),%xmm10 + vpshufd $0x44,%xmm11,%xmm11 + vmovdqa %xmm14,-128(%r11) + vmovdqa %xmm11,16(%rsp) + vpshufd $0xEE,%xmm12,%xmm13 + vmovdqu 0(%rdi),%xmm11 + vpshufd $0x44,%xmm12,%xmm12 + vmovdqa %xmm13,-112(%r11) + vmovdqa %xmm12,32(%rsp) + vpshufd $0xEE,%xmm10,%xmm14 + vmovdqu 16(%rdi),%xmm12 + vpshufd $0x44,%xmm10,%xmm10 + vmovdqa %xmm14,-96(%r11) + vmovdqa %xmm10,48(%rsp) + vpshufd $0xEE,%xmm11,%xmm13 + vmovdqu 32(%rdi),%xmm10 + vpshufd $0x44,%xmm11,%xmm11 + vmovdqa %xmm13,-80(%r11) + vmovdqa %xmm11,64(%rsp) + vpshufd $0xEE,%xmm12,%xmm14 + vmovdqu 48(%rdi),%xmm11 + vpshufd $0x44,%xmm12,%xmm12 + vmovdqa %xmm14,-64(%r11) + vmovdqa %xmm12,80(%rsp) + vpshufd $0xEE,%xmm10,%xmm13 + vmovdqu 64(%rdi),%xmm12 + vpshufd $0x44,%xmm10,%xmm10 + vmovdqa %xmm13,-48(%r11) + vmovdqa %xmm10,96(%rsp) + vpshufd $0xEE,%xmm11,%xmm14 + vpshufd $0x44,%xmm11,%xmm11 + vmovdqa %xmm14,-32(%r11) + vmovdqa %xmm11,112(%rsp) + vpshufd $0xEE,%xmm12,%xmm13 + vmovdqa 0(%rsp),%xmm14 + vpshufd $0x44,%xmm12,%xmm12 + vmovdqa %xmm13,-16(%r11) + vmovdqa %xmm12,128(%rsp) + + jmp .Loop_avx + +.p2align 5 +.Loop_avx: + + + + + + + + + + + + + + + + + + + + + vpmuludq %xmm5,%xmm14,%xmm10 + vpmuludq %xmm6,%xmm14,%xmm11 + vmovdqa %xmm2,32(%r11) + vpmuludq %xmm7,%xmm14,%xmm12 + vmovdqa 16(%rsp),%xmm2 + vpmuludq %xmm8,%xmm14,%xmm13 + vpmuludq %xmm9,%xmm14,%xmm14 + + vmovdqa %xmm0,0(%r11) + vpmuludq 32(%rsp),%xmm9,%xmm0 + vmovdqa %xmm1,16(%r11) + vpmuludq %xmm8,%xmm2,%xmm1 + vpaddq %xmm0,%xmm10,%xmm10 + vpaddq %xmm1,%xmm14,%xmm14 + vmovdqa %xmm3,48(%r11) + vpmuludq %xmm7,%xmm2,%xmm0 + vpmuludq %xmm6,%xmm2,%xmm1 + vpaddq %xmm0,%xmm13,%xmm13 + vmovdqa 48(%rsp),%xmm3 + vpaddq %xmm1,%xmm12,%xmm12 + vmovdqa %xmm4,64(%r11) + vpmuludq %xmm5,%xmm2,%xmm2 + vpmuludq %xmm7,%xmm3,%xmm0 + vpaddq %xmm2,%xmm11,%xmm11 + + vmovdqa 64(%rsp),%xmm4 + vpaddq %xmm0,%xmm14,%xmm14 + vpmuludq %xmm6,%xmm3,%xmm1 + vpmuludq %xmm5,%xmm3,%xmm3 + vpaddq %xmm1,%xmm13,%xmm13 + vmovdqa 80(%rsp),%xmm2 + vpaddq %xmm3,%xmm12,%xmm12 + vpmuludq %xmm9,%xmm4,%xmm0 + vpmuludq %xmm8,%xmm4,%xmm4 + vpaddq %xmm0,%xmm11,%xmm11 + vmovdqa 96(%rsp),%xmm3 + vpaddq %xmm4,%xmm10,%xmm10 + + vmovdqa 128(%rsp),%xmm4 + vpmuludq %xmm6,%xmm2,%xmm1 + vpmuludq %xmm5,%xmm2,%xmm2 + vpaddq %xmm1,%xmm14,%xmm14 + vpaddq %xmm2,%xmm13,%xmm13 + vpmuludq %xmm9,%xmm3,%xmm0 + vpmuludq %xmm8,%xmm3,%xmm1 + vpaddq %xmm0,%xmm12,%xmm12 + vmovdqu 0(%rsi),%xmm0 + vpaddq %xmm1,%xmm11,%xmm11 + vpmuludq %xmm7,%xmm3,%xmm3 + vpmuludq %xmm7,%xmm4,%xmm7 + vpaddq %xmm3,%xmm10,%xmm10 + + vmovdqu 16(%rsi),%xmm1 + vpaddq %xmm7,%xmm11,%xmm11 + vpmuludq %xmm8,%xmm4,%xmm8 + vpmuludq %xmm9,%xmm4,%xmm9 + vpsrldq $6,%xmm0,%xmm2 + vpaddq %xmm8,%xmm12,%xmm12 + vpaddq %xmm9,%xmm13,%xmm13 + vpsrldq $6,%xmm1,%xmm3 + vpmuludq 112(%rsp),%xmm5,%xmm9 + vpmuludq %xmm6,%xmm4,%xmm5 + vpunpckhqdq %xmm1,%xmm0,%xmm4 + vpaddq %xmm9,%xmm14,%xmm14 + vmovdqa -144(%r11),%xmm9 + vpaddq %xmm5,%xmm10,%xmm10 + + vpunpcklqdq %xmm1,%xmm0,%xmm0 + vpunpcklqdq %xmm3,%xmm2,%xmm3 + + + vpsrldq $5,%xmm4,%xmm4 + vpsrlq $26,%xmm0,%xmm1 + vpand %xmm15,%xmm0,%xmm0 + vpsrlq $4,%xmm3,%xmm2 + vpand %xmm15,%xmm1,%xmm1 + vpand 0(%rcx),%xmm4,%xmm4 + vpsrlq $30,%xmm3,%xmm3 + vpand %xmm15,%xmm2,%xmm2 + vpand %xmm15,%xmm3,%xmm3 + vpor 32(%rcx),%xmm4,%xmm4 + + vpaddq 0(%r11),%xmm0,%xmm0 + vpaddq 16(%r11),%xmm1,%xmm1 + vpaddq 32(%r11),%xmm2,%xmm2 + vpaddq 48(%r11),%xmm3,%xmm3 + vpaddq 64(%r11),%xmm4,%xmm4 + + leaq 32(%rsi),%rax + leaq 64(%rsi),%rsi + subq $64,%rdx + cmovcq %rax,%rsi + + + + + + + + + + + vpmuludq %xmm0,%xmm9,%xmm5 + vpmuludq %xmm1,%xmm9,%xmm6 + vpaddq %xmm5,%xmm10,%xmm10 + vpaddq %xmm6,%xmm11,%xmm11 + vmovdqa -128(%r11),%xmm7 + vpmuludq %xmm2,%xmm9,%xmm5 + vpmuludq %xmm3,%xmm9,%xmm6 + vpaddq %xmm5,%xmm12,%xmm12 + vpaddq %xmm6,%xmm13,%xmm13 + vpmuludq %xmm4,%xmm9,%xmm9 + vpmuludq -112(%r11),%xmm4,%xmm5 + vpaddq %xmm9,%xmm14,%xmm14 + + vpaddq %xmm5,%xmm10,%xmm10 + vpmuludq %xmm2,%xmm7,%xmm6 + vpmuludq %xmm3,%xmm7,%xmm5 + vpaddq %xmm6,%xmm13,%xmm13 + vmovdqa -96(%r11),%xmm8 + vpaddq %xmm5,%xmm14,%xmm14 + vpmuludq %xmm1,%xmm7,%xmm6 + vpmuludq %xmm0,%xmm7,%xmm7 + vpaddq %xmm6,%xmm12,%xmm12 + vpaddq %xmm7,%xmm11,%xmm11 + + vmovdqa -80(%r11),%xmm9 + vpmuludq %xmm2,%xmm8,%xmm5 + vpmuludq %xmm1,%xmm8,%xmm6 + vpaddq %xmm5,%xmm14,%xmm14 + vpaddq %xmm6,%xmm13,%xmm13 + vmovdqa -64(%r11),%xmm7 + vpmuludq %xmm0,%xmm8,%xmm8 + vpmuludq %xmm4,%xmm9,%xmm5 + vpaddq %xmm8,%xmm12,%xmm12 + vpaddq %xmm5,%xmm11,%xmm11 + vmovdqa -48(%r11),%xmm8 + vpmuludq %xmm3,%xmm9,%xmm9 + vpmuludq %xmm1,%xmm7,%xmm6 + vpaddq %xmm9,%xmm10,%xmm10 + + vmovdqa -16(%r11),%xmm9 + vpaddq %xmm6,%xmm14,%xmm14 + vpmuludq %xmm0,%xmm7,%xmm7 + vpmuludq %xmm4,%xmm8,%xmm5 + vpaddq %xmm7,%xmm13,%xmm13 + vpaddq %xmm5,%xmm12,%xmm12 + vmovdqu 32(%rsi),%xmm5 + vpmuludq %xmm3,%xmm8,%xmm7 + vpmuludq %xmm2,%xmm8,%xmm8 + vpaddq %xmm7,%xmm11,%xmm11 + vmovdqu 48(%rsi),%xmm6 + vpaddq %xmm8,%xmm10,%xmm10 + + vpmuludq %xmm2,%xmm9,%xmm2 + vpmuludq %xmm3,%xmm9,%xmm3 + vpsrldq $6,%xmm5,%xmm7 + vpaddq %xmm2,%xmm11,%xmm11 + vpmuludq %xmm4,%xmm9,%xmm4 + vpsrldq $6,%xmm6,%xmm8 + vpaddq %xmm3,%xmm12,%xmm2 + vpaddq %xmm4,%xmm13,%xmm3 + vpmuludq -32(%r11),%xmm0,%xmm4 + vpmuludq %xmm1,%xmm9,%xmm0 + vpunpckhqdq %xmm6,%xmm5,%xmm9 + vpaddq %xmm4,%xmm14,%xmm4 + vpaddq %xmm0,%xmm10,%xmm0 + + vpunpcklqdq %xmm6,%xmm5,%xmm5 + vpunpcklqdq %xmm8,%xmm7,%xmm8 + + + vpsrldq $5,%xmm9,%xmm9 + vpsrlq $26,%xmm5,%xmm6 + vmovdqa 0(%rsp),%xmm14 + vpand %xmm15,%xmm5,%xmm5 + vpsrlq $4,%xmm8,%xmm7 + vpand %xmm15,%xmm6,%xmm6 + vpand 0(%rcx),%xmm9,%xmm9 + vpsrlq $30,%xmm8,%xmm8 + vpand %xmm15,%xmm7,%xmm7 + vpand %xmm15,%xmm8,%xmm8 + vpor 32(%rcx),%xmm9,%xmm9 + + + + + + vpsrlq $26,%xmm3,%xmm13 + vpand %xmm15,%xmm3,%xmm3 + vpaddq %xmm13,%xmm4,%xmm4 + + vpsrlq $26,%xmm0,%xmm10 + vpand %xmm15,%xmm0,%xmm0 + vpaddq %xmm10,%xmm11,%xmm1 + + vpsrlq $26,%xmm4,%xmm10 + vpand %xmm15,%xmm4,%xmm4 + + vpsrlq $26,%xmm1,%xmm11 + vpand %xmm15,%xmm1,%xmm1 + vpaddq %xmm11,%xmm2,%xmm2 + + vpaddq %xmm10,%xmm0,%xmm0 + vpsllq $2,%xmm10,%xmm10 + vpaddq %xmm10,%xmm0,%xmm0 + + vpsrlq $26,%xmm2,%xmm12 + vpand %xmm15,%xmm2,%xmm2 + vpaddq %xmm12,%xmm3,%xmm3 + + vpsrlq $26,%xmm0,%xmm10 + vpand %xmm15,%xmm0,%xmm0 + vpaddq %xmm10,%xmm1,%xmm1 + + vpsrlq $26,%xmm3,%xmm13 + vpand %xmm15,%xmm3,%xmm3 + vpaddq %xmm13,%xmm4,%xmm4 + + ja .Loop_avx + +.Lskip_loop_avx: + + + + vpshufd $0x10,%xmm14,%xmm14 + addq $32,%rdx + jnz .Long_tail_avx + + vpaddq %xmm2,%xmm7,%xmm7 + vpaddq %xmm0,%xmm5,%xmm5 + vpaddq %xmm1,%xmm6,%xmm6 + vpaddq %xmm3,%xmm8,%xmm8 + vpaddq %xmm4,%xmm9,%xmm9 + +.Long_tail_avx: + vmovdqa %xmm2,32(%r11) + vmovdqa %xmm0,0(%r11) + vmovdqa %xmm1,16(%r11) + vmovdqa %xmm3,48(%r11) + vmovdqa %xmm4,64(%r11) + + + + + + + + vpmuludq %xmm7,%xmm14,%xmm12 + vpmuludq %xmm5,%xmm14,%xmm10 + vpshufd $0x10,-48(%rdi),%xmm2 + vpmuludq %xmm6,%xmm14,%xmm11 + vpmuludq %xmm8,%xmm14,%xmm13 + vpmuludq %xmm9,%xmm14,%xmm14 + + vpmuludq %xmm8,%xmm2,%xmm0 + vpaddq %xmm0,%xmm14,%xmm14 + vpshufd $0x10,-32(%rdi),%xmm3 + vpmuludq %xmm7,%xmm2,%xmm1 + vpaddq %xmm1,%xmm13,%xmm13 + vpshufd $0x10,-16(%rdi),%xmm4 + vpmuludq %xmm6,%xmm2,%xmm0 + vpaddq %xmm0,%xmm12,%xmm12 + vpmuludq %xmm5,%xmm2,%xmm2 + vpaddq %xmm2,%xmm11,%xmm11 + vpmuludq %xmm9,%xmm3,%xmm3 + vpaddq %xmm3,%xmm10,%xmm10 + + vpshufd $0x10,0(%rdi),%xmm2 + vpmuludq %xmm7,%xmm4,%xmm1 + vpaddq %xmm1,%xmm14,%xmm14 + vpmuludq %xmm6,%xmm4,%xmm0 + vpaddq %xmm0,%xmm13,%xmm13 + vpshufd $0x10,16(%rdi),%xmm3 + vpmuludq %xmm5,%xmm4,%xmm4 + vpaddq %xmm4,%xmm12,%xmm12 + vpmuludq %xmm9,%xmm2,%xmm1 + vpaddq %xmm1,%xmm11,%xmm11 + vpshufd $0x10,32(%rdi),%xmm4 + vpmuludq %xmm8,%xmm2,%xmm2 + vpaddq %xmm2,%xmm10,%xmm10 + + vpmuludq %xmm6,%xmm3,%xmm0 + vpaddq %xmm0,%xmm14,%xmm14 + vpmuludq %xmm5,%xmm3,%xmm3 + vpaddq %xmm3,%xmm13,%xmm13 + vpshufd $0x10,48(%rdi),%xmm2 + vpmuludq %xmm9,%xmm4,%xmm1 + vpaddq %xmm1,%xmm12,%xmm12 + vpshufd $0x10,64(%rdi),%xmm3 + vpmuludq %xmm8,%xmm4,%xmm0 + vpaddq %xmm0,%xmm11,%xmm11 + vpmuludq %xmm7,%xmm4,%xmm4 + vpaddq %xmm4,%xmm10,%xmm10 + + vpmuludq %xmm5,%xmm2,%xmm2 + vpaddq %xmm2,%xmm14,%xmm14 + vpmuludq %xmm9,%xmm3,%xmm1 + vpaddq %xmm1,%xmm13,%xmm13 + vpmuludq %xmm8,%xmm3,%xmm0 + vpaddq %xmm0,%xmm12,%xmm12 + vpmuludq %xmm7,%xmm3,%xmm1 + vpaddq %xmm1,%xmm11,%xmm11 + vpmuludq %xmm6,%xmm3,%xmm3 + vpaddq %xmm3,%xmm10,%xmm10 + + jz .Lshort_tail_avx + + vmovdqu 0(%rsi),%xmm0 + vmovdqu 16(%rsi),%xmm1 + + vpsrldq $6,%xmm0,%xmm2 + vpsrldq $6,%xmm1,%xmm3 + vpunpckhqdq %xmm1,%xmm0,%xmm4 + vpunpcklqdq %xmm1,%xmm0,%xmm0 + vpunpcklqdq %xmm3,%xmm2,%xmm3 + + vpsrlq $40,%xmm4,%xmm4 + vpsrlq $26,%xmm0,%xmm1 + vpand %xmm15,%xmm0,%xmm0 + vpsrlq $4,%xmm3,%xmm2 + vpand %xmm15,%xmm1,%xmm1 + vpsrlq $30,%xmm3,%xmm3 + vpand %xmm15,%xmm2,%xmm2 + vpand %xmm15,%xmm3,%xmm3 + vpor 32(%rcx),%xmm4,%xmm4 + + vpshufd $0x32,-64(%rdi),%xmm9 + vpaddq 0(%r11),%xmm0,%xmm0 + vpaddq 16(%r11),%xmm1,%xmm1 + vpaddq 32(%r11),%xmm2,%xmm2 + vpaddq 48(%r11),%xmm3,%xmm3 + vpaddq 64(%r11),%xmm4,%xmm4 + + + + + vpmuludq %xmm0,%xmm9,%xmm5 + vpaddq %xmm5,%xmm10,%xmm10 + vpmuludq %xmm1,%xmm9,%xmm6 + vpaddq %xmm6,%xmm11,%xmm11 + vpmuludq %xmm2,%xmm9,%xmm5 + vpaddq %xmm5,%xmm12,%xmm12 + vpshufd $0x32,-48(%rdi),%xmm7 + vpmuludq %xmm3,%xmm9,%xmm6 + vpaddq %xmm6,%xmm13,%xmm13 + vpmuludq %xmm4,%xmm9,%xmm9 + vpaddq %xmm9,%xmm14,%xmm14 + + vpmuludq %xmm3,%xmm7,%xmm5 + vpaddq %xmm5,%xmm14,%xmm14 + vpshufd $0x32,-32(%rdi),%xmm8 + vpmuludq %xmm2,%xmm7,%xmm6 + vpaddq %xmm6,%xmm13,%xmm13 + vpshufd $0x32,-16(%rdi),%xmm9 + vpmuludq %xmm1,%xmm7,%xmm5 + vpaddq %xmm5,%xmm12,%xmm12 + vpmuludq %xmm0,%xmm7,%xmm7 + vpaddq %xmm7,%xmm11,%xmm11 + vpmuludq %xmm4,%xmm8,%xmm8 + vpaddq %xmm8,%xmm10,%xmm10 + + vpshufd $0x32,0(%rdi),%xmm7 + vpmuludq %xmm2,%xmm9,%xmm6 + vpaddq %xmm6,%xmm14,%xmm14 + vpmuludq %xmm1,%xmm9,%xmm5 + vpaddq %xmm5,%xmm13,%xmm13 + vpshufd $0x32,16(%rdi),%xmm8 + vpmuludq %xmm0,%xmm9,%xmm9 + vpaddq %xmm9,%xmm12,%xmm12 + vpmuludq %xmm4,%xmm7,%xmm6 + vpaddq %xmm6,%xmm11,%xmm11 + vpshufd $0x32,32(%rdi),%xmm9 + vpmuludq %xmm3,%xmm7,%xmm7 + vpaddq %xmm7,%xmm10,%xmm10 + + vpmuludq %xmm1,%xmm8,%xmm5 + vpaddq %xmm5,%xmm14,%xmm14 + vpmuludq %xmm0,%xmm8,%xmm8 + vpaddq %xmm8,%xmm13,%xmm13 + vpshufd $0x32,48(%rdi),%xmm7 + vpmuludq %xmm4,%xmm9,%xmm6 + vpaddq %xmm6,%xmm12,%xmm12 + vpshufd $0x32,64(%rdi),%xmm8 + vpmuludq %xmm3,%xmm9,%xmm5 + vpaddq %xmm5,%xmm11,%xmm11 + vpmuludq %xmm2,%xmm9,%xmm9 + vpaddq %xmm9,%xmm10,%xmm10 + + vpmuludq %xmm0,%xmm7,%xmm7 + vpaddq %xmm7,%xmm14,%xmm14 + vpmuludq %xmm4,%xmm8,%xmm6 + vpaddq %xmm6,%xmm13,%xmm13 + vpmuludq %xmm3,%xmm8,%xmm5 + vpaddq %xmm5,%xmm12,%xmm12 + vpmuludq %xmm2,%xmm8,%xmm6 + vpaddq %xmm6,%xmm11,%xmm11 + vpmuludq %xmm1,%xmm8,%xmm8 + vpaddq %xmm8,%xmm10,%xmm10 + +.Lshort_tail_avx: + + + + vpsrldq $8,%xmm14,%xmm9 + vpsrldq $8,%xmm13,%xmm8 + vpsrldq $8,%xmm11,%xmm6 + vpsrldq $8,%xmm10,%xmm5 + vpsrldq $8,%xmm12,%xmm7 + vpaddq %xmm8,%xmm13,%xmm13 + vpaddq %xmm9,%xmm14,%xmm14 + vpaddq %xmm5,%xmm10,%xmm10 + vpaddq %xmm6,%xmm11,%xmm11 + vpaddq %xmm7,%xmm12,%xmm12 + + + + + vpsrlq $26,%xmm13,%xmm3 + vpand %xmm15,%xmm13,%xmm13 + vpaddq %xmm3,%xmm14,%xmm14 + + vpsrlq $26,%xmm10,%xmm0 + vpand %xmm15,%xmm10,%xmm10 + vpaddq %xmm0,%xmm11,%xmm11 + + vpsrlq $26,%xmm14,%xmm4 + vpand %xmm15,%xmm14,%xmm14 + + vpsrlq $26,%xmm11,%xmm1 + vpand %xmm15,%xmm11,%xmm11 + vpaddq %xmm1,%xmm12,%xmm12 + + vpaddq %xmm4,%xmm10,%xmm10 + vpsllq $2,%xmm4,%xmm4 + vpaddq %xmm4,%xmm10,%xmm10 + + vpsrlq $26,%xmm12,%xmm2 + vpand %xmm15,%xmm12,%xmm12 + vpaddq %xmm2,%xmm13,%xmm13 + + vpsrlq $26,%xmm10,%xmm0 + vpand %xmm15,%xmm10,%xmm10 + vpaddq %xmm0,%xmm11,%xmm11 + + vpsrlq $26,%xmm13,%xmm3 + vpand %xmm15,%xmm13,%xmm13 + vpaddq %xmm3,%xmm14,%xmm14 + + vmovd %xmm10,-112(%rdi) + vmovd %xmm11,-108(%rdi) + vmovd %xmm12,-104(%rdi) + vmovd %xmm13,-100(%rdi) + vmovd %xmm14,-96(%rdi) + vmovdqa 80(%r11),%xmm6 + vmovdqa 96(%r11),%xmm7 + vmovdqa 112(%r11),%xmm8 + vmovdqa 128(%r11),%xmm9 + vmovdqa 144(%r11),%xmm10 + vmovdqa 160(%r11),%xmm11 + vmovdqa 176(%r11),%xmm12 + vmovdqa 192(%r11),%xmm13 + vmovdqa 208(%r11),%xmm14 + vmovdqa 224(%r11),%xmm15 + leaq 248(%r11),%rsp +.Ldo_avx_epilogue: + vzeroupper + movq 8(%rsp),%rdi + movq 16(%rsp),%rsi + .byte 0xf3,0xc3 + +.LSEH_end_crypton_poly1305_asm_blocks_avx: +.def crypton_poly1305_asm_blocks_avx2; .scl 3; .type 32; .endef +.p2align 5 +crypton_poly1305_asm_blocks_avx2: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%rax +.LSEH_begin_crypton_poly1305_asm_blocks_avx2: + + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx + movq %r9,%rcx + movl 20(%rdi),%r8d + cmpq $128,%rdx + jb .Lblocks + + andq $-16,%rdx + + vzeroupper + + testl %r8d,%r8d + jz .Lbase2_64_avx2 + + testq $63,%rdx + jz .Leven_avx2 + + pushq %rbx + + pushq %rbp + + pushq %r12 + + pushq %r13 + + pushq %r14 + + pushq %r15 + + leaq -8(%rsp),%rsp + +.Lblocks_avx2_body: + + movq %rdx,%r15 + + movq 0(%rdi),%r8 + movq 8(%rdi),%r9 + movl 16(%rdi),%ebp + + movq 24(%rdi),%r11 + movq 32(%rdi),%r13 + + + movl %r8d,%r14d + andq $-2147483648,%r8 + movq %r9,%r12 + movl %r9d,%ebx + andq $-2147483648,%r9 + + shrq $6,%r8 + shlq $52,%r12 + addq %r8,%r14 + shrq $12,%rbx + shrq $18,%r9 + addq %r12,%r14 + adcq %r9,%rbx + + movq %rbp,%r8 + shlq $40,%r8 + shrq $24,%rbp + addq %r8,%rbx + adcq $0,%rbp + + movq %r13,%r12 + movq %r13,%rax + shrq $2,%r13 + addq %r12,%r13 + +.Lbase2_26_pre_avx2: + addq 0(%rsi),%r14 + adcq 8(%rsi),%rbx + leaq 16(%rsi),%rsi + adcq %rcx,%rbp + subq $16,%r15 + + call __crypton_poly1305_asm_block + movq %r12,%rax + + testq $63,%r15 + jnz .Lbase2_26_pre_avx2 + + + movq %r14,%rax + movq %r14,%rdx + shrq $52,%r14 + movq %rbx,%r11 + movq %rbx,%r12 + shrq $26,%rdx + andq $0x3ffffff,%rax + shlq $12,%r11 + andq $0x3ffffff,%rdx + shrq $14,%rbx + orq %r11,%r14 + shlq $24,%rbp + andq $0x3ffffff,%r14 + shrq $40,%r12 + andq $0x3ffffff,%rbx + orq %r12,%rbp + + vmovd %eax,%xmm0 + vmovd %edx,%xmm1 + vmovd %r14d,%xmm2 + vmovd %ebx,%xmm3 + vmovd %ebp,%xmm4 + + movq %r15,%rdx + + movq 8(%rsp),%r15 + + movq 16(%rsp),%r14 + + movq 24(%rsp),%r13 + + movq 32(%rsp),%r12 + + movq 40(%rsp),%rbp + + movq 48(%rsp),%rbx + + leaq 56(%rsp),%rax + leaq 56(%rsp),%rsp + +.Lblocks_avx2_epilogue: + jmp .Ldo_avx2 + + +.p2align 5 +.Lbase2_64_avx2: + + pushq %rbx + + pushq %rbp + + pushq %r12 + + pushq %r13 + + pushq %r14 + + pushq %r15 + + leaq -8(%rsp),%rsp + +.Lbase2_64_avx2_body: + + movq %rdx,%r15 + + movq 24(%rdi),%r11 + movq 32(%rdi),%r13 + + movq 0(%rdi),%r14 + movq 8(%rdi),%rbx + movl 16(%rdi),%ebp + + movq %r13,%r12 + movq %r13,%rax + shrq $2,%r13 + addq %r12,%r13 + + testq $63,%rdx + jz .Linit_avx2 + +.Lbase2_64_pre_avx2: + addq 0(%rsi),%r14 + adcq 8(%rsi),%rbx + leaq 16(%rsi),%rsi + adcq %rcx,%rbp + subq $16,%r15 + + call __crypton_poly1305_asm_block + movq %r12,%rax + + testq $63,%r15 + jnz .Lbase2_64_pre_avx2 + +.Linit_avx2: + + movq %r14,%rax + movq %r14,%rdx + shrq $52,%r14 + movq %rbx,%r8 + movq %rbx,%r9 + shrq $26,%rdx + andq $0x3ffffff,%rax + shlq $12,%r8 + andq $0x3ffffff,%rdx + shrq $14,%rbx + orq %r8,%r14 + shlq $24,%rbp + andq $0x3ffffff,%r14 + shrq $40,%r9 + andq $0x3ffffff,%rbx + orq %r9,%rbp + + vmovd %eax,%xmm0 + vmovd %edx,%xmm1 + vmovd %r14d,%xmm2 + vmovd %ebx,%xmm3 + vmovd %ebp,%xmm4 + movl $1,20(%rdi) + + call __crypton_poly1305_asm_init_avx + + movq %r15,%rdx + + movq 8(%rsp),%r15 + + movq 16(%rsp),%r14 + + movq 24(%rsp),%r13 + + movq 32(%rsp),%r12 + + movq 40(%rsp),%rbp + + movq 48(%rsp),%rbx + + leaq 56(%rsp),%rax + leaq 56(%rsp),%rsp + +.Lbase2_64_avx2_epilogue: + jmp .Ldo_avx2 + + +.p2align 5 +.Leven_avx2: + + vmovd 0(%rdi),%xmm0 + vmovd 4(%rdi),%xmm1 + vmovd 8(%rdi),%xmm2 + vmovd 12(%rdi),%xmm3 + vmovd 16(%rdi),%xmm4 + +.Ldo_avx2: + leaq -248(%rsp),%r11 + subq $0x1c8,%rsp + vmovdqa %xmm6,80(%r11) + vmovdqa %xmm7,96(%r11) + vmovdqa %xmm8,112(%r11) + vmovdqa %xmm9,128(%r11) + vmovdqa %xmm10,144(%r11) + vmovdqa %xmm11,160(%r11) + vmovdqa %xmm12,176(%r11) + vmovdqa %xmm13,192(%r11) + vmovdqa %xmm14,208(%r11) + vmovdqa %xmm15,224(%r11) +.Ldo_avx2_body: + leaq .Lconst(%rip),%rcx + leaq 48+64(%rdi),%rdi + vmovdqa 96(%rcx),%ymm7 + + + vmovdqu -64(%rdi),%xmm9 + andq $-512,%rsp + vmovdqu -48(%rdi),%xmm10 + vmovdqu -32(%rdi),%xmm6 + vmovdqu -16(%rdi),%xmm11 + vmovdqu 0(%rdi),%xmm12 + vmovdqu 16(%rdi),%xmm13 + leaq 144(%rsp),%rax + vmovdqu 32(%rdi),%xmm14 + vpermd %ymm9,%ymm7,%ymm9 + vmovdqu 48(%rdi),%xmm15 + vpermd %ymm10,%ymm7,%ymm10 + vmovdqu 64(%rdi),%xmm5 + vpermd %ymm6,%ymm7,%ymm6 + vmovdqa %ymm9,0(%rsp) + vpermd %ymm11,%ymm7,%ymm11 + vmovdqa %ymm10,32-144(%rax) + vpermd %ymm12,%ymm7,%ymm12 + vmovdqa %ymm6,64-144(%rax) + vpermd %ymm13,%ymm7,%ymm13 + vmovdqa %ymm11,96-144(%rax) + vpermd %ymm14,%ymm7,%ymm14 + vmovdqa %ymm12,128-144(%rax) + vpermd %ymm15,%ymm7,%ymm15 + vmovdqa %ymm13,160-144(%rax) + vpermd %ymm5,%ymm7,%ymm5 + vmovdqa %ymm14,192-144(%rax) + vmovdqa %ymm15,224-144(%rax) + vmovdqa %ymm5,256-144(%rax) + vmovdqa 64(%rcx),%ymm5 + + + + vmovdqu 0(%rsi),%xmm7 + vmovdqu 16(%rsi),%xmm8 + vinserti128 $1,32(%rsi),%ymm7,%ymm7 + vinserti128 $1,48(%rsi),%ymm8,%ymm8 + leaq 64(%rsi),%rsi + + vpsrldq $6,%ymm7,%ymm9 + vpsrldq $6,%ymm8,%ymm10 + vpunpckhqdq %ymm8,%ymm7,%ymm6 + vpunpcklqdq %ymm10,%ymm9,%ymm9 + vpunpcklqdq %ymm8,%ymm7,%ymm7 + + vpsrlq $30,%ymm9,%ymm10 + vpsrlq $4,%ymm9,%ymm9 + vpsrlq $26,%ymm7,%ymm8 + vpsrlq $40,%ymm6,%ymm6 + vpand %ymm5,%ymm9,%ymm9 + vpand %ymm5,%ymm7,%ymm7 + vpand %ymm5,%ymm8,%ymm8 + vpand %ymm5,%ymm10,%ymm10 + vpor 32(%rcx),%ymm6,%ymm6 + + vpaddq %ymm2,%ymm9,%ymm2 + subq $64,%rdx + jz .Ltail_avx2 + jmp .Loop_avx2 + +.p2align 5 +.Loop_avx2: + + + + + + + + + vpaddq %ymm0,%ymm7,%ymm0 + vmovdqa 0(%rsp),%ymm7 + vpaddq %ymm1,%ymm8,%ymm1 + vmovdqa 32(%rsp),%ymm8 + vpaddq %ymm3,%ymm10,%ymm3 + vmovdqa 96(%rsp),%ymm9 + vpaddq %ymm4,%ymm6,%ymm4 + vmovdqa 48(%rax),%ymm10 + vmovdqa 112(%rax),%ymm5 + + + + + + + + + + + + + + + + + vpmuludq %ymm2,%ymm7,%ymm13 + vpmuludq %ymm2,%ymm8,%ymm14 + vpmuludq %ymm2,%ymm9,%ymm15 + vpmuludq %ymm2,%ymm10,%ymm11 + vpmuludq %ymm2,%ymm5,%ymm12 + + vpmuludq %ymm0,%ymm8,%ymm6 + vpmuludq %ymm1,%ymm8,%ymm2 + vpaddq %ymm6,%ymm12,%ymm12 + vpaddq %ymm2,%ymm13,%ymm13 + vpmuludq %ymm3,%ymm8,%ymm6 + vpmuludq 64(%rsp),%ymm4,%ymm2 + vpaddq %ymm6,%ymm15,%ymm15 + vpaddq %ymm2,%ymm11,%ymm11 + vmovdqa -16(%rax),%ymm8 + + vpmuludq %ymm0,%ymm7,%ymm6 + vpmuludq %ymm1,%ymm7,%ymm2 + vpaddq %ymm6,%ymm11,%ymm11 + vpaddq %ymm2,%ymm12,%ymm12 + vpmuludq %ymm3,%ymm7,%ymm6 + vpmuludq %ymm4,%ymm7,%ymm2 + vmovdqu 0(%rsi),%xmm7 + vpaddq %ymm6,%ymm14,%ymm14 + vpaddq %ymm2,%ymm15,%ymm15 + vinserti128 $1,32(%rsi),%ymm7,%ymm7 + + vpmuludq %ymm3,%ymm8,%ymm6 + vpmuludq %ymm4,%ymm8,%ymm2 + vmovdqu 16(%rsi),%xmm8 + vpaddq %ymm6,%ymm11,%ymm11 + vpaddq %ymm2,%ymm12,%ymm12 + vmovdqa 16(%rax),%ymm2 + vpmuludq %ymm1,%ymm9,%ymm6 + vpmuludq %ymm0,%ymm9,%ymm9 + vpaddq %ymm6,%ymm14,%ymm14 + vpaddq %ymm9,%ymm13,%ymm13 + vinserti128 $1,48(%rsi),%ymm8,%ymm8 + leaq 64(%rsi),%rsi + + vpmuludq %ymm1,%ymm2,%ymm6 + vpmuludq %ymm0,%ymm2,%ymm2 + vpsrldq $6,%ymm7,%ymm9 + vpaddq %ymm6,%ymm15,%ymm15 + vpaddq %ymm2,%ymm14,%ymm14 + vpmuludq %ymm3,%ymm10,%ymm6 + vpmuludq %ymm4,%ymm10,%ymm2 + vpsrldq $6,%ymm8,%ymm10 + vpaddq %ymm6,%ymm12,%ymm12 + vpaddq %ymm2,%ymm13,%ymm13 + vpunpckhqdq %ymm8,%ymm7,%ymm6 + + vpmuludq %ymm3,%ymm5,%ymm3 + vpmuludq %ymm4,%ymm5,%ymm4 + vpunpcklqdq %ymm8,%ymm7,%ymm7 + vpaddq %ymm3,%ymm13,%ymm2 + vpaddq %ymm4,%ymm14,%ymm3 + vpunpcklqdq %ymm10,%ymm9,%ymm10 + vpmuludq 80(%rax),%ymm0,%ymm4 + vpmuludq %ymm1,%ymm5,%ymm0 + vmovdqa 64(%rcx),%ymm5 + vpaddq %ymm4,%ymm15,%ymm4 + vpaddq %ymm0,%ymm11,%ymm0 + + + + + vpsrlq $26,%ymm3,%ymm14 + vpand %ymm5,%ymm3,%ymm3 + vpaddq %ymm14,%ymm4,%ymm4 + + vpsrlq $26,%ymm0,%ymm11 + vpand %ymm5,%ymm0,%ymm0 + vpaddq %ymm11,%ymm12,%ymm1 + + vpsrlq $26,%ymm4,%ymm15 + vpand %ymm5,%ymm4,%ymm4 + + vpsrlq $4,%ymm10,%ymm9 + + vpsrlq $26,%ymm1,%ymm12 + vpand %ymm5,%ymm1,%ymm1 + vpaddq %ymm12,%ymm2,%ymm2 + + vpaddq %ymm15,%ymm0,%ymm0 + vpsllq $2,%ymm15,%ymm15 + vpaddq %ymm15,%ymm0,%ymm0 + + vpand %ymm5,%ymm9,%ymm9 + vpsrlq $26,%ymm7,%ymm8 + + vpsrlq $26,%ymm2,%ymm13 + vpand %ymm5,%ymm2,%ymm2 + vpaddq %ymm13,%ymm3,%ymm3 + + vpaddq %ymm9,%ymm2,%ymm2 + vpsrlq $30,%ymm10,%ymm10 + + vpsrlq $26,%ymm0,%ymm11 + vpand %ymm5,%ymm0,%ymm0 + vpaddq %ymm11,%ymm1,%ymm1 + + vpsrlq $40,%ymm6,%ymm6 + + vpsrlq $26,%ymm3,%ymm14 + vpand %ymm5,%ymm3,%ymm3 + vpaddq %ymm14,%ymm4,%ymm4 + + vpand %ymm5,%ymm7,%ymm7 + vpand %ymm5,%ymm8,%ymm8 + vpand %ymm5,%ymm10,%ymm10 + vpor 32(%rcx),%ymm6,%ymm6 + + subq $64,%rdx + jnz .Loop_avx2 + +.byte 0x66,0x90 +.Ltail_avx2: + + + + + + + + vpaddq %ymm0,%ymm7,%ymm0 + vmovdqu 4(%rsp),%ymm7 + vpaddq %ymm1,%ymm8,%ymm1 + vmovdqu 36(%rsp),%ymm8 + vpaddq %ymm3,%ymm10,%ymm3 + vmovdqu 100(%rsp),%ymm9 + vpaddq %ymm4,%ymm6,%ymm4 + vmovdqu 52(%rax),%ymm10 + vmovdqu 116(%rax),%ymm5 + + vpmuludq %ymm2,%ymm7,%ymm13 + vpmuludq %ymm2,%ymm8,%ymm14 + vpmuludq %ymm2,%ymm9,%ymm15 + vpmuludq %ymm2,%ymm10,%ymm11 + vpmuludq %ymm2,%ymm5,%ymm12 + + vpmuludq %ymm0,%ymm8,%ymm6 + vpmuludq %ymm1,%ymm8,%ymm2 + vpaddq %ymm6,%ymm12,%ymm12 + vpaddq %ymm2,%ymm13,%ymm13 + vpmuludq %ymm3,%ymm8,%ymm6 + vpmuludq 68(%rsp),%ymm4,%ymm2 + vpaddq %ymm6,%ymm15,%ymm15 + vpaddq %ymm2,%ymm11,%ymm11 + + vpmuludq %ymm0,%ymm7,%ymm6 + vpmuludq %ymm1,%ymm7,%ymm2 + vpaddq %ymm6,%ymm11,%ymm11 + vmovdqu -12(%rax),%ymm8 + vpaddq %ymm2,%ymm12,%ymm12 + vpmuludq %ymm3,%ymm7,%ymm6 + vpmuludq %ymm4,%ymm7,%ymm2 + vpaddq %ymm6,%ymm14,%ymm14 + vpaddq %ymm2,%ymm15,%ymm15 + + vpmuludq %ymm3,%ymm8,%ymm6 + vpmuludq %ymm4,%ymm8,%ymm2 + vpaddq %ymm6,%ymm11,%ymm11 + vpaddq %ymm2,%ymm12,%ymm12 + vmovdqu 20(%rax),%ymm2 + vpmuludq %ymm1,%ymm9,%ymm6 + vpmuludq %ymm0,%ymm9,%ymm9 + vpaddq %ymm6,%ymm14,%ymm14 + vpaddq %ymm9,%ymm13,%ymm13 + + vpmuludq %ymm1,%ymm2,%ymm6 + vpmuludq %ymm0,%ymm2,%ymm2 + vpaddq %ymm6,%ymm15,%ymm15 + vpaddq %ymm2,%ymm14,%ymm14 + vpmuludq %ymm3,%ymm10,%ymm6 + vpmuludq %ymm4,%ymm10,%ymm2 + vpaddq %ymm6,%ymm12,%ymm12 + vpaddq %ymm2,%ymm13,%ymm13 + + vpmuludq %ymm3,%ymm5,%ymm3 + vpmuludq %ymm4,%ymm5,%ymm4 + vpaddq %ymm3,%ymm13,%ymm2 + vpaddq %ymm4,%ymm14,%ymm3 + vpmuludq 84(%rax),%ymm0,%ymm4 + vpmuludq %ymm1,%ymm5,%ymm0 + vmovdqa 64(%rcx),%ymm5 + vpaddq %ymm4,%ymm15,%ymm4 + vpaddq %ymm0,%ymm11,%ymm0 + + + + + vpsrldq $8,%ymm12,%ymm8 + vpsrldq $8,%ymm2,%ymm9 + vpsrldq $8,%ymm3,%ymm10 + vpsrldq $8,%ymm4,%ymm6 + vpsrldq $8,%ymm0,%ymm7 + vpaddq %ymm8,%ymm12,%ymm12 + vpaddq %ymm9,%ymm2,%ymm2 + vpaddq %ymm10,%ymm3,%ymm3 + vpaddq %ymm6,%ymm4,%ymm4 + vpaddq %ymm7,%ymm0,%ymm0 + + vpermq $0x2,%ymm3,%ymm10 + vpermq $0x2,%ymm4,%ymm6 + vpermq $0x2,%ymm0,%ymm7 + vpermq $0x2,%ymm12,%ymm8 + vpermq $0x2,%ymm2,%ymm9 + vpaddq %ymm10,%ymm3,%ymm3 + vpaddq %ymm6,%ymm4,%ymm4 + vpaddq %ymm7,%ymm0,%ymm0 + vpaddq %ymm8,%ymm12,%ymm12 + vpaddq %ymm9,%ymm2,%ymm2 + + + + + vpsrlq $26,%ymm3,%ymm14 + vpand %ymm5,%ymm3,%ymm3 + vpaddq %ymm14,%ymm4,%ymm4 + + vpsrlq $26,%ymm0,%ymm11 + vpand %ymm5,%ymm0,%ymm0 + vpaddq %ymm11,%ymm12,%ymm1 + + vpsrlq $26,%ymm4,%ymm15 + vpand %ymm5,%ymm4,%ymm4 + + vpsrlq $26,%ymm1,%ymm12 + vpand %ymm5,%ymm1,%ymm1 + vpaddq %ymm12,%ymm2,%ymm2 + + vpaddq %ymm15,%ymm0,%ymm0 + vpsllq $2,%ymm15,%ymm15 + vpaddq %ymm15,%ymm0,%ymm0 + + vpsrlq $26,%ymm2,%ymm13 + vpand %ymm5,%ymm2,%ymm2 + vpaddq %ymm13,%ymm3,%ymm3 + + vpsrlq $26,%ymm0,%ymm11 + vpand %ymm5,%ymm0,%ymm0 + vpaddq %ymm11,%ymm1,%ymm1 + + vpsrlq $26,%ymm3,%ymm14 + vpand %ymm5,%ymm3,%ymm3 + vpaddq %ymm14,%ymm4,%ymm4 + + vmovd %xmm0,-112(%rdi) + vmovd %xmm1,-108(%rdi) + vmovd %xmm2,-104(%rdi) + vmovd %xmm3,-100(%rdi) + vmovd %xmm4,-96(%rdi) + vmovdqa 80(%r11),%xmm6 + vmovdqa 96(%r11),%xmm7 + vmovdqa 112(%r11),%xmm8 + vmovdqa 128(%r11),%xmm9 + vmovdqa 144(%r11),%xmm10 + vmovdqa 160(%r11),%xmm11 + vmovdqa 176(%r11),%xmm12 + vmovdqa 192(%r11),%xmm13 + vmovdqa 208(%r11),%xmm14 + vmovdqa 224(%r11),%xmm15 + leaq 248(%r11),%rsp +.Ldo_avx2_epilogue: + vzeroupper + movq 8(%rsp),%rdi + movq 16(%rsp),%rsi + .byte 0xf3,0xc3 + +.LSEH_end_crypton_poly1305_asm_blocks_avx2: +.p2align 6 +.Lconst: +.Lmask24: +.long 0x0ffffff,0,0x0ffffff,0,0x0ffffff,0,0x0ffffff,0 +.L129: +.long 16777216,0,16777216,0,16777216,0,16777216,0 +.Lmask26: +.long 0x3ffffff,0,0x3ffffff,0,0x3ffffff,0,0x3ffffff,0 +.Lpermd_avx2: +.long 2,2,2,3,2,0,2,1 +.Lpermd_avx512: +.long 0,0,0,1, 0,2,0,3, 0,4,0,5, 0,6,0,7 + +.L2_44_inp_permd: +.long 0,1,1,2,2,3,7,7 +.L2_44_inp_shift: +.quad 0,12,24,64 +.L2_44_mask: +.quad 0xfffffffffff,0xfffffffffff,0x3ffffffffff,0xffffffffffffffff +.L2_44_shift_rgt: +.quad 44,44,42,64 +.L2_44_shift_lft: +.quad 8,8,10,64 + +.p2align 6 +.Lx_mask44: +.quad 0xfffffffffff,0xfffffffffff,0xfffffffffff,0xfffffffffff +.quad 0xfffffffffff,0xfffffffffff,0xfffffffffff,0xfffffffffff +.Lx_mask42: +.quad 0x3ffffffffff,0x3ffffffffff,0x3ffffffffff,0x3ffffffffff +.quad 0x3ffffffffff,0x3ffffffffff,0x3ffffffffff,0x3ffffffffff +.byte 80,111,108,121,49,51,48,53,32,102,111,114,32,120,56,54,95,54,52,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.p2align 4 +.globl crypton_xor128_encrypt_n_pad +.def crypton_xor128_encrypt_n_pad; .scl 2; .type 32; .endef +.p2align 4 +crypton_xor128_encrypt_n_pad: + .byte 0xf3,0x0f,0x1e,0xfa + + subq %r8,%rdx + subq %r8,%rcx + movq %r9,%r10 + shrq $4,%r9 + jz .Ltail_enc + nop +.Loop_enc_xmm: + movdqu (%rdx,%r8,1),%xmm0 + pxor (%r8),%xmm0 + movdqu %xmm0,(%rcx,%r8,1) + movdqa %xmm0,(%r8) + leaq 16(%r8),%r8 + decq %r9 + jnz .Loop_enc_xmm + + andq $15,%r10 + jz .Ldone_enc + +.Ltail_enc: + movq $16,%r9 + subq %r10,%r9 + xorl %eax,%eax +.Loop_enc_byte: + movb (%rdx,%r8,1),%al + xorb (%r8),%al + movb %al,(%rcx,%r8,1) + movb %al,(%r8) + leaq 1(%r8),%r8 + decq %r10 + jnz .Loop_enc_byte + + xorl %eax,%eax +.Loop_enc_pad: + movb %al,(%r8) + leaq 1(%r8),%r8 + decq %r9 + jnz .Loop_enc_pad + +.Ldone_enc: + movq %r8,%rax + .byte 0xf3,0xc3 + + +.globl crypton_xor128_decrypt_n_pad +.def crypton_xor128_decrypt_n_pad; .scl 2; .type 32; .endef +.p2align 4 +crypton_xor128_decrypt_n_pad: + .byte 0xf3,0x0f,0x1e,0xfa + + subq %r8,%rdx + subq %r8,%rcx + movq %r9,%r10 + shrq $4,%r9 + jz .Ltail_dec + nop +.Loop_dec_xmm: + movdqu (%rdx,%r8,1),%xmm0 + movdqa (%r8),%xmm1 + pxor %xmm0,%xmm1 + movdqu %xmm1,(%rcx,%r8,1) + movdqa %xmm0,(%r8) + leaq 16(%r8),%r8 + decq %r9 + jnz .Loop_dec_xmm + + pxor %xmm1,%xmm1 + andq $15,%r10 + jz .Ldone_dec + +.Ltail_dec: + movq $16,%r9 + subq %r10,%r9 + xorl %eax,%eax + xorq %r11,%r11 +.Loop_dec_byte: + movb (%rdx,%r8,1),%r11b + movb (%r8),%al + xorb %r11b,%al + movb %al,(%rcx,%r8,1) + movb %r11b,(%r8) + leaq 1(%r8),%r8 + decq %r10 + jnz .Loop_dec_byte + + xorl %eax,%eax +.Loop_dec_pad: + movb %al,(%r8) + leaq 1(%r8),%r8 + decq %r9 + jnz .Loop_dec_pad + +.Ldone_dec: + movq %r8,%rax + .byte 0xf3,0xc3 + + +.def se_handler; .scl 3; .type 32; .endef +.p2align 4 +se_handler: + .byte 0xf3,0x0f,0x1e,0xfa + + pushq %rsi + pushq %rdi + pushq %rbx + pushq %rbp + pushq %r12 + pushq %r13 + pushq %r14 + pushq %r15 + pushfq + subq $64,%rsp + + movq 120(%r8),%rax + movq 248(%r8),%rbx + + movq 8(%r9),%rsi + movq 56(%r9),%r11 + + movl 0(%r11),%r10d + leaq (%rsi,%r10,1),%r10 + cmpq %r10,%rbx + jb .Lcommon_seh_tail + + movq 152(%r8),%rax + + movl 4(%r11),%r10d + leaq (%rsi,%r10,1),%r10 + cmpq %r10,%rbx + jae .Lcommon_seh_tail + + leaq 56(%rax),%rax + + movq -8(%rax),%rbx + movq -16(%rax),%rbp + movq -24(%rax),%r12 + movq -32(%rax),%r13 + movq -40(%rax),%r14 + movq -48(%rax),%r15 + movq %rbx,144(%r8) + movq %rbp,160(%r8) + movq %r12,216(%r8) + movq %r13,224(%r8) + movq %r14,232(%r8) + movq %r15,240(%r8) + + jmp .Lcommon_seh_tail + + +.def avx_handler; .scl 3; .type 32; .endef +.p2align 4 +avx_handler: + .byte 0xf3,0x0f,0x1e,0xfa + + pushq %rsi + pushq %rdi + pushq %rbx + pushq %rbp + pushq %r12 + pushq %r13 + pushq %r14 + pushq %r15 + pushfq + subq $64,%rsp + + movq 120(%r8),%rax + movq 248(%r8),%rbx + + movq 8(%r9),%rsi + movq 56(%r9),%r11 + + movl 0(%r11),%r10d + leaq (%rsi,%r10,1),%r10 + cmpq %r10,%rbx + jb .Lcommon_seh_tail + + movq 152(%r8),%rax + + movl 4(%r11),%r10d + leaq (%rsi,%r10,1),%r10 + cmpq %r10,%rbx + jae .Lcommon_seh_tail + + movq 208(%r8),%rax + + leaq 80(%rax),%rsi + leaq 248(%rax),%rax + leaq 512(%r8),%rdi + movl $20,%ecx +.long 0xa548f3fc + +.Lcommon_seh_tail: + movq 8(%rax),%rdi + movq 16(%rax),%rsi + movq %rax,152(%r8) + movq %rsi,168(%r8) + movq %rdi,176(%r8) + + movq 40(%r9),%rdi + movq %r8,%rsi + movl $154,%ecx +.long 0xa548f3fc + + movq %r9,%rsi + xorq %rcx,%rcx + movq 8(%rsi),%rdx + movq 0(%rsi),%r8 + movq 16(%rsi),%r9 + movq 40(%rsi),%r10 + leaq 56(%rsi),%r11 + leaq 24(%rsi),%r12 + movq %r10,32(%rsp) + movq %r11,40(%rsp) + movq %r12,48(%rsp) + movq %rcx,56(%rsp) + call *__imp_RtlVirtualUnwind(%rip) + + movl $1,%eax + addq $64,%rsp + popfq + popq %r15 + popq %r14 + popq %r13 + popq %r12 + popq %rbp + popq %rbx + popq %rdi + popq %rsi + .byte 0xf3,0xc3 + + +.section .pdata +.p2align 2 +.rva .LSEH_begin_crypton_poly1305_asm_init +.rva .LSEH_end_crypton_poly1305_asm_init +.rva .LSEH_info_crypton_poly1305_asm_init + +.rva .LSEH_begin_crypton_poly1305_asm_blocks +.rva .LSEH_end_crypton_poly1305_asm_blocks +.rva .LSEH_info_crypton_poly1305_asm_blocks + +.rva .LSEH_begin_crypton_poly1305_asm_emit +.rva .LSEH_end_crypton_poly1305_asm_emit +.rva .LSEH_info_crypton_poly1305_asm_emit +.rva .LSEH_begin_crypton_poly1305_asm_blocks_avx +.rva .Lbase2_64_avx +.rva .LSEH_info_crypton_poly1305_asm_blocks_avx_1 + +.rva .Lbase2_64_avx +.rva .Leven_avx +.rva .LSEH_info_crypton_poly1305_asm_blocks_avx_2 + +.rva .Leven_avx +.rva .LSEH_end_crypton_poly1305_asm_blocks_avx +.rva .LSEH_info_crypton_poly1305_asm_blocks_avx_3 +.rva .LSEH_begin_crypton_poly1305_asm_blocks_avx2 +.rva .Lbase2_64_avx2 +.rva .LSEH_info_crypton_poly1305_asm_blocks_avx2_1 + +.rva .Lbase2_64_avx2 +.rva .Leven_avx2 +.rva .LSEH_info_crypton_poly1305_asm_blocks_avx2_2 + +.rva .Leven_avx2 +.rva .LSEH_end_crypton_poly1305_asm_blocks_avx2 +.rva .LSEH_info_crypton_poly1305_asm_blocks_avx2_3 +.section .xdata +.p2align 3 +.LSEH_info_crypton_poly1305_asm_init: +.byte 9,0,0,0 +.rva se_handler +.long 0,0 + +.LSEH_info_crypton_poly1305_asm_blocks: +.byte 9,0,0,0 +.rva se_handler +.rva .Lblocks_body,.Lblocks_epilogue + +.LSEH_info_crypton_poly1305_asm_emit: +.byte 9,0,0,0 +.rva se_handler +.long 0,0 +.LSEH_info_crypton_poly1305_asm_blocks_avx_1: +.byte 9,0,0,0 +.rva se_handler +.rva .Lblocks_avx_body,.Lblocks_avx_epilogue + +.LSEH_info_crypton_poly1305_asm_blocks_avx_2: +.byte 9,0,0,0 +.rva se_handler +.rva .Lbase2_64_avx_body,.Lbase2_64_avx_epilogue + +.LSEH_info_crypton_poly1305_asm_blocks_avx_3: +.byte 9,0,0,0 +.rva avx_handler +.rva .Ldo_avx_body,.Ldo_avx_epilogue +.LSEH_info_crypton_poly1305_asm_blocks_avx2_1: +.byte 9,0,0,0 +.rva se_handler +.rva .Lblocks_avx2_body,.Lblocks_avx2_epilogue + +.LSEH_info_crypton_poly1305_asm_blocks_avx2_2: +.byte 9,0,0,0 +.rva se_handler +.rva .Lbase2_64_avx2_body,.Lbase2_64_avx2_epilogue + +.LSEH_info_crypton_poly1305_asm_blocks_avx2_3: +.byte 9,0,0,0 +.rva avx_handler +.rva .Ldo_avx2_body,.Ldo_avx2_epilogue diff --git a/cbits/asm/poly1305-x86_64.pl b/cbits/asm/poly1305-x86_64.pl new file mode 100644 --- /dev/null +++ b/cbits/asm/poly1305-x86_64.pl @@ -0,0 +1,4333 @@ +#!/usr/bin/env perl +# +# ==================================================================== +# Written by Andy Polyakov, @dot-asm, initially for the OpenSSL +# project. +# ==================================================================== +# +# This module implements Poly1305 hash for x86_64. +# +# March 2015 +# +# Initial release. +# +# December 2016 +# +# Add AVX512F+VL+BW code path. +# +# November 2017 +# +# Convert AVX512F+VL+BW code path to pure AVX512F, so that it can be +# executed even on Knights Landing. Trigger for modification was +# observation that AVX512 code paths can negatively affect overall +# Skylake-X system performance. Since we are likely to suppress +# AVX512F capability flag [at least on Skylake-X], conversion serves +# as kind of "investment protection". Note that next *lake processor, +# Cannonlake, has AVX512IFMA code path to execute... +# +# Numbers are cycles per processed byte with poly1305_blocks alone, +# most are measured with rdtsc at fixed clock frequency. +# +# IALU/gcc-4.8(i) AVX(ii) AVX2 AVX-512 +# P4 4.46/+120% - +# Core 2 2.41/+90% - +# Westmere 1.88/+120% - +# Sandy Bridge 1.39/+140% 1.10 +# Haswell 1.14/+175% 1.11 0.65 +# Skylake[-X] 1.13/+120% 0.96 0.51 [0.35] +# Cannon Lake 1.13/+120% 0.93 0.38(iv)0.24(iv) +# Rocket Lake 1.13/+120% 0.84 0.43(iv)0.24(iv) +# Silvermont 2.83/+95% - +# Knights L 3.60/? 1.65 1.10 0.41(iii) +# Goldmont 1.70/+180% - +# VIA Nano 1.82/+150% - +# Sledgehammer 1.38/+160% - +# Bulldozer 2.30/+130% 0.97 +# Ryzen 1.15/+200% 1.08 1.18 +# +# (i) improvement coefficients relative to clang are more modest and +# are ~50% on most processors, in both cases we are comparing to +# __int128 code; +# (ii) SSE2 implementation was attempted, but among non-AVX processors +# it was faster than integer-only code only on older Intel P4 and +# Core processors, 50-30%, less newer processor is, but slower on +# contemporary ones, for example almost 2x slower on Atom, and as +# former are naturally disappearing, SSE2 is deemed unnecessary; +# (iii) strangely enough performance seems to vary from core to core, +# listed result is best case; +# (iv) these are IFMA results, which in addition means that first IALU +# column does not reflect short-input performance; + +$flavour = shift; +$output = shift; +if ($flavour =~ /\./) { $output = $flavour; undef $flavour; } + +$win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/); + +$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; +( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or +( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or +die "can't locate x86_64-xlate.pl"; + +$avx=undef; + +if (!defined($avx) && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) && + ($ENV{ASM} //= "nasm") && + `"$ENV{ASM}" -v 2>&1` =~ /NASM version ([0-9]+\.[0-9]+)(?:\.([0-9]+))?/) { + $avx = ($1>=2.09) + ($1>=2.10) + 2 * ($1>=2.12); + $avx += 2 if ($1==2.11 && $2>=8); +} + +if (!defined($avx) && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) && + ($ENV{ASM} //= "ml64") && + `"$ENV{ASM}" 2>&1` =~ /Version ([0-9]+)\./) { + $avx = ($1>=10) + ($1>=12) + 2 * ($1>=14); +} + +$ENV{CC} //= "cc"; +if (!defined($avx) && `$ENV{CC} -Wa,-v -c -o /dev/zero -x assembler /dev/null 2>&1` + =~ /GNU assembler version ([0-9]+)\.([0-9]+)/) { + my $ver = $1 + $2/100.0; # 3.1->3.01, 3.10->3.10 + $avx = ($ver>=2.19) + ($ver>=2.22) + ($ver>=2.25) + ($ver>=2.26); +} + +if (!defined($avx) && `$ENV{CC} -v 2>&1` + =~ /((?:^clang|LLVM) version|.*based on LLVM) ([0-9]+)\.([0-9]+)/) { + my $ver = $2 + $3/100.0; # 3.1->3.01, 3.10->3.10 + $avx = ($ver>=3.0) + ($ver>3.0); + $avx += 2*($ver>=7.0) if ($1 =~ /^clang/); +} + +open OUT,"| \"$^X\" \"$xlate\" $flavour \"$output\""; +*STDOUT=*OUT; + +my ($ctx,$inp,$len,$padbit)=("%rdi","%rsi","%rdx","%rcx"); +my ($mac,$nonce)=($inp,$len); # *_emit arguments +my ($d1,$d2,$d3, $r0,$r1,$s1)=map("%r$_",(8..13)); +my ($h0,$h1,$h2)=("%r14","%rbx","%rbp"); + +sub poly1305_iteration { +# input: copy of $r1 in %rax, $h0-$h2, $r0-$r1 +# output: $h0-$h2 *= $r0-$r1 +$code.=<<___; + mulq $h0 # h0*r1 + mov %rax,$d2 + mov $r0,%rax + mov %rdx,$d3 + + mulq $h0 # h0*r0 + mov %rax,$h0 # future $h0 + mov $r0,%rax + mov %rdx,$d1 + + mulq $h1 # h1*r0 + add %rax,$d2 + mov $s1,%rax + adc %rdx,$d3 + + mulq $h1 # h1*s1 + mov $h2,$h1 # borrow $h1 + add %rax,$h0 + adc %rdx,$d1 + + imulq $s1,$h1 # h2*s1 + add $h1,$d2 + mov $d1,$h1 + adc \$0,$d3 + + imulq $r0,$h2 # h2*r0 + add $d2,$h1 + mov \$-4,%rax # mask value + adc $h2,$d3 + + and $d3,%rax # last reduction step + mov $d3,$h2 + shr \$2,$d3 + and \$3,$h2 + add $d3,%rax + add %rax,$h0 + adc \$0,$h1 + adc \$0,$h2 +___ +} + +######################################################################## +# Layout of opaque area is following. +# +# unsigned __int64 h[3]; # current hash value base 2^64 +# unsigned __int64 r[2]; # key value base 2^64 + +if ($flavour =~ /kernel/) { +$code.=<<___ if ($avx); +.globl poly1305_blocks_avx +___ +$code.=<<___ if ($avx>1); +.globl poly1305_blocks_avx2 +___ +$code.=<<___ if ($avx>3); +.globl poly1305_init_base2_44 +.globl poly1305_blocks_base2_44 +.globl poly1305_emit_base2_44 +.globl poly1305_blocks_vpmadd52 +___ +} +$code.=<<___; +.text + +.extern OPENSSL_ia32cap_P + +.globl poly1305_init +.hidden poly1305_init +.globl poly1305_blocks +.hidden poly1305_blocks +.globl poly1305_emit +.hidden poly1305_emit + +.type poly1305_init,\@function,3 +.align 32 +poly1305_init: + xor %rax,%rax + mov %rax,0($ctx) # initialize hash value + mov %rax,8($ctx) + mov %rax,16($ctx) # [along with is_base2_26] + + cmp \$0,$inp + je .Lno_key + + mov \$0x0ffffffc0fffffff,%rax + lea -3(%rax),%rcx # $0x0ffffffc0ffffffc + and 0($inp),%rax + and 8($inp),%rcx + mov %rax,24($ctx) + mov %rcx,32($ctx) +___ +$code.=<<___ if ($avx); + movl \$-1,48($ctx) # write impossible value +___ + if ($flavour !~ /kernel/) { +$code.=<<___; + lea poly1305_blocks(%rip),%r10 + lea poly1305_emit(%rip),%r11 +___ +$code.=<<___ if ($avx); + mov OPENSSL_ia32cap_P+4(%rip),%r9 + lea poly1305_blocks_avx(%rip),%rax + bt \$`60-32`,%r9 # AVX? + cmovc %rax,%r10 +___ +$code.=<<___ if ($avx>1); + lea poly1305_blocks_avx2(%rip),%rax + bt \$`5+32`,%r9 # AVX2? + cmovc %rax,%r10 +___ +$code.=<<___ if ($avx>3); + mov \$`(1<<31|1<<21)`,%rax # AVX512VL|AVX512IFMA + shr \$32,%r9 + and %rax,%r9 + cmp %rax,%r9 + je .Linit_base2_44 +___ +$code.=<<___ if ($flavour !~ /elf32/); + mov %r10,0(%rdx) + mov %r11,8(%rdx) +___ +$code.=<<___ if ($flavour =~ /elf32/); + mov %r10d,0(%rdx) + mov %r11d,4(%rdx) +___ + } +$code.=<<___; + mov \$1,%eax +.Lno_key: + ret +.size poly1305_init,.-poly1305_init + +.type poly1305_blocks,\@function,4 +.align 32 +poly1305_blocks: +.cfi_startproc +.Lblocks: + shr \$4,$len + jz .Lno_data # too short + + push %rbx +.cfi_push %rbx + push %rbp +.cfi_push %rbp + push %r12 +.cfi_push %r12 + push %r13 +.cfi_push %r13 + push %r14 +.cfi_push %r14 + push %r15 +.cfi_push %r15 + lea -8(%rsp),%rsp +.cfi_adjust_cfa_offset 8 +.Lblocks_body: + + mov $len,%r15 # reassign $len + + mov 24($ctx),$r0 # load r + mov 32($ctx),$s1 + + mov 0($ctx),$h0 # load hash value base 2^64 + mov 8($ctx),$h1 + mov 16($ctx),$h2 # [along with is_base2_26] + + mov $h0#d,%eax # load hash value base 2^26 + mov 4($ctx),%edx + mov $h1#d,%r8d + mov 12($ctx),%r10d + mov $h2#d,%r12d + + shl \$26,%rdx # base 2^26 -> base 2^64 + mov %r8,%r9 + shl \$52,%r8 + add %rdx,%rax + shr \$12,%r9 + add %rax,%r8 # h0 + adc \$0,%r9 + + shl \$14,%r10 + mov %r12,%rax + shr \$24,%r12 + add %r10,%r9 + shl \$40,%rax + add %rax,%r9 # h1 + adc \$0,%r12 # h2 + + cmp \$4,$h2 # is_base2_26? [4 is as good as 2^32-1] + + cmova %r8,$h0 # choose between radixes + cmova %r9,$h1 + cmova %r12,$h2 + + mov $s1,$r1 + shr \$2,$s1 + mov $r1,%rax + add $r1,$s1 # s1 = r1 + (r1 >> 2) + jmp .Loop + +.align 32 +.Loop: + add 0($inp),$h0 # accumulate input + adc 8($inp),$h1 + lea 16($inp),$inp + adc $padbit,$h2 +___ + &poly1305_iteration(); +$code.=<<___; + mov $r1,%rax + dec %r15 # len-=16 + jnz .Loop + + mov $h0,0($ctx) # store hash value + mov $h1,8($ctx) + mov $h2,16($ctx) + + mov 8(%rsp),%r15 +.cfi_restore %r15 + mov 16(%rsp),%r14 +.cfi_restore %r14 + mov 24(%rsp),%r13 +.cfi_restore %r13 + mov 32(%rsp),%r12 +.cfi_restore %r12 + mov 40(%rsp),%rbp +.cfi_restore %rbp + mov 48(%rsp),%rbx +.cfi_restore %rbx + lea 56(%rsp),%rsp +.cfi_adjust_cfa_offset -56 +.Lno_data: +.Lblocks_epilogue: + ret +.cfi_endproc +.size poly1305_blocks,.-poly1305_blocks + +.type poly1305_emit,\@function,3 +.align 32 +poly1305_emit: + mov 0($ctx),%eax # load hash value base 2^26 + mov 4($ctx),%ecx + mov 8($ctx),%r8d + mov 12($ctx),%r11d + mov 16($ctx),%r10d + + shl \$26,%rcx # base 2^26 -> base 2^64 + mov %r8,%r9 + shl \$52,%r8 + add %rcx,%rax + shr \$12,%r9 + add %rax,%r8 # h0 + adc \$0,%r9 + + shl \$14,%r11 + mov %r10,%rax + shr \$24,%r10 + add %r11,%r9 + mov 0($ctx),%rcx # load hash value base 2^64 + shl \$40,%rax + mov 8($ctx),%r11 + add %rax,%r9 # h1 + mov 16($ctx),%rax # [along with is_base2_26] + adc \$0,%r10 # h2 + + cmp \$4,%rax # is_base2_26? [4 is as good as 2^32-1] + + cmovbe %rcx,%r8 # choose between radixes + cmovbe %r11,%r9 + cmovbe %rax,%r10 + + mov %r8,%rax + add \$5,%r8 # compare to modulus + mov %r9,%rcx + adc \$0,%r9 + adc \$0,%r10 + shr \$2,%r10 # did 130-bit value overflow? + cmovnz %r8,%rax + cmovnz %r9,%rcx + + add 0($nonce),%rax # accumulate nonce + adc 8($nonce),%rcx + mov %rax,0($mac) # write result + mov %rcx,8($mac) + + ret +.size poly1305_emit,.-poly1305_emit +___ +if ($avx) { + +######################################################################## +# Layout of opaque area is following. +# +# unsigned __int32 h[5]; # current hash value base 2^26 +# unsigned __int32 is_base2_26; +# unsigned __int64 r[2]; # key value base 2^64 +# unsigned __int64 pad; +# struct { unsigned __int32 r^2, r^1, r^4, r^3; } r[9]; +# +# where r^n are base 2^26 digits of degrees of multiplier key. There are +# 5 digits, but last four are interleaved with multiples of 5, totalling +# in 9 elements: r0, r1, 5*r1, r2, 5*r2, r3, 5*r3, r4, 5*r4. + +my ($H0,$H1,$H2,$H3,$H4, $T0,$T1,$T2,$T3,$T4, $D0,$D1,$D2,$D3,$D4, $MASK) = + map("%xmm$_",(0..15)); + +$code.=<<___; +.type __poly1305_block,\@abi-omnipotent +.align 32 +__poly1305_block: +___ + &poly1305_iteration(); +$code.=<<___; + ret +.size __poly1305_block,.-__poly1305_block + +.type __poly1305_init_avx,\@abi-omnipotent +.align 32 +__poly1305_init_avx: + cmpl \$-1,48($ctx) + jne .Ldone_init_avx + + mov $r0,$h0 + mov $r1,$h1 + xor $h2,$h2 + + lea 48+64($ctx),$ctx # size optimization + + mov $r1,%rax + call __poly1305_block # r^2 + + mov \$0x3ffffff,%eax # save interleaved r^2 and r base 2^26 + mov \$0x3ffffff,%edx + mov $h0,$d1 + and $h0#d,%eax + mov $r0,$d2 + and $r0#d,%edx + mov %eax,`16*0+0-64`($ctx) + shr \$26,$d1 + mov %edx,`16*0+4-64`($ctx) + shr \$26,$d2 + + mov \$0x3ffffff,%eax + mov \$0x3ffffff,%edx + and $d1#d,%eax + and $d2#d,%edx + mov %eax,`16*1+0-64`($ctx) + lea (%rax,%rax,4),%eax # *5 + mov %edx,`16*1+4-64`($ctx) + lea (%rdx,%rdx,4),%edx # *5 + mov %eax,`16*2+0-64`($ctx) + shr \$26,$d1 + mov %edx,`16*2+4-64`($ctx) + shr \$26,$d2 + + mov $h1,%rax + mov $r1,%rdx + shl \$12,%rax + shl \$12,%rdx + or $d1,%rax + or $d2,%rdx + and \$0x3ffffff,%eax + and \$0x3ffffff,%edx + mov %eax,`16*3+0-64`($ctx) + lea (%rax,%rax,4),%eax # *5 + mov %edx,`16*3+4-64`($ctx) + lea (%rdx,%rdx,4),%edx # *5 + mov %eax,`16*4+0-64`($ctx) + mov $h1,$d1 + mov %edx,`16*4+4-64`($ctx) + mov $r1,$d2 + + mov \$0x3ffffff,%eax + mov \$0x3ffffff,%edx + shr \$14,$d1 + shr \$14,$d2 + and $d1#d,%eax + and $d2#d,%edx + mov %eax,`16*5+0-64`($ctx) + lea (%rax,%rax,4),%eax # *5 + mov %edx,`16*5+4-64`($ctx) + lea (%rdx,%rdx,4),%edx # *5 + mov %eax,`16*6+0-64`($ctx) + shr \$26,$d1 + mov %edx,`16*6+4-64`($ctx) + shr \$26,$d2 + + mov $h2,%rax + shl \$24,%rax + or %rax,$d1 + mov $d1#d,`16*7+0-64`($ctx) + lea ($d1,$d1,4),$d1 # *5 + mov $d2#d,`16*7+4-64`($ctx) + lea ($d2,$d2,4),$d2 # *5 + mov $d1#d,`16*8+0-64`($ctx) + mov $d2#d,`16*8+4-64`($ctx) + + mov $r1,%rax + call __poly1305_block # r^3 + + mov \$0x3ffffff,%eax # save r^3 base 2^26 + mov $h0,$d1 + and $h0#d,%eax + shr \$26,$d1 + mov %eax,`16*0+12-64`($ctx) + + mov \$0x3ffffff,%edx + and $d1#d,%edx + mov %edx,`16*1+12-64`($ctx) + lea (%rdx,%rdx,4),%edx # *5 + shr \$26,$d1 + mov %edx,`16*2+12-64`($ctx) + + mov $h1,%rax + shl \$12,%rax + or $d1,%rax + and \$0x3ffffff,%eax + mov %eax,`16*3+12-64`($ctx) + lea (%rax,%rax,4),%eax # *5 + mov $h1,$d1 + mov %eax,`16*4+12-64`($ctx) + + mov \$0x3ffffff,%edx + shr \$14,$d1 + and $d1#d,%edx + mov %edx,`16*5+12-64`($ctx) + lea (%rdx,%rdx,4),%edx # *5 + shr \$26,$d1 + mov %edx,`16*6+12-64`($ctx) + + mov $h2,%rax + shl \$24,%rax + or %rax,$d1 + mov $d1#d,`16*7+12-64`($ctx) + lea ($d1,$d1,4),$d1 # *5 + mov $d1#d,`16*8+12-64`($ctx) + + mov $r1,%rax + call __poly1305_block # r^4 + + mov \$0x3ffffff,%eax # save r^4 base 2^26 + mov $h0,$d1 + and $h0#d,%eax + shr \$26,$d1 + mov %eax,`16*0+8-64`($ctx) + + mov \$0x3ffffff,%edx + and $d1#d,%edx + mov %edx,`16*1+8-64`($ctx) + lea (%rdx,%rdx,4),%edx # *5 + shr \$26,$d1 + mov %edx,`16*2+8-64`($ctx) + + mov $h1,%rax + shl \$12,%rax + or $d1,%rax + and \$0x3ffffff,%eax + mov %eax,`16*3+8-64`($ctx) + lea (%rax,%rax,4),%eax # *5 + mov $h1,$d1 + mov %eax,`16*4+8-64`($ctx) + + mov \$0x3ffffff,%edx + shr \$14,$d1 + and $d1#d,%edx + mov %edx,`16*5+8-64`($ctx) + lea (%rdx,%rdx,4),%edx # *5 + shr \$26,$d1 + mov %edx,`16*6+8-64`($ctx) + + mov $h2,%rax + shl \$24,%rax + or %rax,$d1 + mov $d1#d,`16*7+8-64`($ctx) + lea ($d1,$d1,4),$d1 # *5 + mov $d1#d,`16*8+8-64`($ctx) + + lea -48-64($ctx),$ctx # size [de-]optimization +.Ldone_init_avx: + ret +.size __poly1305_init_avx,.-__poly1305_init_avx + +.type poly1305_blocks_avx,\@function,4 +.align 32 +poly1305_blocks_avx: +.cfi_startproc + mov 20($ctx),%r8d # load is_base2_26 + cmp \$128,$len + jb .Lblocks + + and \$-16,$len + + vzeroupper + + test %r8d,%r8d # is_base2_26? + jz .Lbase2_64_avx + + test \$31,$len + jz .Leven_avx + + push %rbx +.cfi_push %rbx + push %rbp +.cfi_push %rbp + push %r12 +.cfi_push %r12 + push %r13 +.cfi_push %r13 + push %r14 +.cfi_push %r14 + push %r15 +.cfi_push %r15 + lea -8(%rsp),%rsp +.cfi_adjust_cfa_offset 8 +.Lblocks_avx_body: + + mov $len,%r15 # reassign $len + + mov 0($ctx),$d1 # load hash value + mov 8($ctx),$d2 + mov 16($ctx),$h2#d + + mov 24($ctx),$r0 # load r + mov 32($ctx),$s1 + + ################################# base 2^26 -> base 2^64 + mov $d1#d,$h0#d + and \$`-1*(1<<31)`,$d1 + mov $d2,$r1 # borrow $r1 + mov $d2#d,$h1#d + and \$`-1*(1<<31)`,$d2 + + shr \$6,$d1 + shl \$52,$r1 + add $d1,$h0 + shr \$12,$h1 + shr \$18,$d2 + add $r1,$h0 + adc $d2,$h1 + + mov $h2,$d1 + shl \$40,$d1 + shr \$24,$h2 + add $d1,$h1 + adc \$0,$h2 # can be partially reduced... + + mov $s1,$r1 + mov $s1,%rax + shr \$2,$s1 + add $r1,$s1 # s1 = r1 + (r1 >> 2) + + add 0($inp),$h0 # accumulate input + adc 8($inp),$h1 + lea 16($inp),$inp + adc $padbit,$h2 + + call __poly1305_block + + ################################# base 2^64 -> base 2^26 + mov $h0,%rax + mov $h0,%rdx + shr \$52,$h0 + mov $h1,$r0 + mov $h1,$r1 + shr \$26,%rdx + and \$0x3ffffff,%rax # h[0] + shl \$12,$r0 + and \$0x3ffffff,%rdx # h[1] + shr \$14,$h1 + or $r0,$h0 + shl \$24,$h2 + and \$0x3ffffff,$h0 # h[2] + shr \$40,$r1 + and \$0x3ffffff,$h1 # h[3] + or $r1,$h2 # h[4] + + vmovd %rax#d,$H0 + vmovd %rdx#d,$H1 + vmovd $h0#d,$H2 + vmovd $h1#d,$H3 + vmovd $h2#d,$H4 + + lea -16(%r15),$len + + mov 8(%rsp),%r15 +.cfi_restore %r15 + mov 16(%rsp),%r14 +.cfi_restore %r14 + mov 24(%rsp),%r13 +.cfi_restore %r13 + mov 32(%rsp),%r12 +.cfi_restore %r12 + mov 40(%rsp),%rbp +.cfi_restore %rbp + mov 48(%rsp),%rbx +.cfi_restore %rbx + lea 56(%rsp),%rax # for win64 + lea 56(%rsp),%rsp +.cfi_adjust_cfa_offset -56 +.Lblocks_avx_epilogue: + jmp .Ldo_avx +.cfi_endproc + +.align 32 +.Lbase2_64_avx: +.cfi_startproc + push %rbx +.cfi_push %rbx + push %rbp +.cfi_push %rbp + push %r12 +.cfi_push %r12 + push %r13 +.cfi_push %r13 + push %r14 +.cfi_push %r14 + push %r15 +.cfi_push %r15 + lea -8(%rsp),%rsp +.cfi_adjust_cfa_offset 8 +.Lbase2_64_avx_body: + + mov $len,%r15 # reassign $len + + mov 24($ctx),$r0 # load r + mov 32($ctx),$s1 + + mov 0($ctx),$h0 # load hash value + mov 8($ctx),$h1 + mov 16($ctx),$h2#d + + mov $s1,$r1 + mov $s1,%rax + shr \$2,$s1 + add $r1,$s1 # s1 = r1 + (r1 >> 2) + + test \$31,$len + jz .Linit_avx + + add 0($inp),$h0 # accumulate input + adc 8($inp),$h1 + lea 16($inp),$inp + adc $padbit,$h2 + sub \$16,%r15 + + call __poly1305_block + +.Linit_avx: + ################################# base 2^64 -> base 2^26 + mov $h0,%rax + mov $h0,%rdx + shr \$52,$h0 + mov $h1,$d1 + mov $h1,$d2 + shr \$26,%rdx + and \$0x3ffffff,%rax # h[0] + shl \$12,$d1 + and \$0x3ffffff,%rdx # h[1] + shr \$14,$h1 + or $d1,$h0 + shl \$24,$h2 + and \$0x3ffffff,$h0 # h[2] + shr \$40,$d2 + and \$0x3ffffff,$h1 # h[3] + or $d2,$h2 # h[4] + + vmovd %rax#d,$H0 + vmovd %rdx#d,$H1 + vmovd $h0#d,$H2 + vmovd $h1#d,$H3 + vmovd $h2#d,$H4 + movl \$1,20($ctx) # set is_base2_26 + + call __poly1305_init_avx + + mov %r15,$len + + mov 8(%rsp),%r15 +.cfi_restore %r15 + mov 16(%rsp),%r14 +.cfi_restore %r14 + mov 24(%rsp),%r13 +.cfi_restore %r13 + mov 32(%rsp),%r12 +.cfi_restore %r12 + mov 40(%rsp),%rbp +.cfi_restore %rbp + mov 48(%rsp),%rbx +.cfi_restore %rbx + lea 56(%rsp),%rax # for win64 + lea 56(%rsp),%rsp +.cfi_adjust_cfa_offset -56 +.Lbase2_64_avx_epilogue: + jmp .Ldo_avx +.cfi_endproc + +.align 32 +.Leven_avx: +.cfi_startproc + vmovd 4*0($ctx),$H0 # load hash value + vmovd 4*1($ctx),$H1 + vmovd 4*2($ctx),$H2 + vmovd 4*3($ctx),$H3 + vmovd 4*4($ctx),$H4 + +.Ldo_avx: +___ +$code.=<<___ if (!$win64); + lea -0x58(%rsp),%r11 +.cfi_def_cfa %r11,0x60 + sub \$0x178,%rsp +___ +$code.=<<___ if ($win64); + lea -0xf8(%rsp),%r11 + sub \$0x218,%rsp + vmovdqa %xmm6,0x50(%r11) + vmovdqa %xmm7,0x60(%r11) + vmovdqa %xmm8,0x70(%r11) + vmovdqa %xmm9,0x80(%r11) + vmovdqa %xmm10,0x90(%r11) + vmovdqa %xmm11,0xa0(%r11) + vmovdqa %xmm12,0xb0(%r11) + vmovdqa %xmm13,0xc0(%r11) + vmovdqa %xmm14,0xd0(%r11) + vmovdqa %xmm15,0xe0(%r11) +.Ldo_avx_body: +___ +$code.=<<___; + sub \$64,$len + lea -32($inp),%rax + cmovc %rax,$inp + + vmovdqu `16*3`($ctx),$D4 # preload r0^2 + lea `16*3+64`($ctx),$ctx # size optimization + lea .Lconst(%rip),%rcx + + ################################################################ + # load input + vmovdqu 16*2($inp),$T0 + vmovdqu 16*3($inp),$T1 + vmovdqa 64(%rcx),$MASK # .Lmask26 + + vpsrldq \$6,$T0,$T2 # splat input + vpsrldq \$6,$T1,$T3 + vpunpckhqdq $T1,$T0,$T4 # 4 + vpunpcklqdq $T1,$T0,$T0 # 0:1 + vpunpcklqdq $T3,$T2,$T3 # 2:3 + + vpsrlq \$40,$T4,$T4 # 4 + vpsrlq \$26,$T0,$T1 + vpand $MASK,$T0,$T0 # 0 + vpsrlq \$4,$T3,$T2 + vpand $MASK,$T1,$T1 # 1 + vpsrlq \$30,$T3,$T3 + vpand $MASK,$T2,$T2 # 2 + vpand $MASK,$T3,$T3 # 3 + vpor 32(%rcx),$T4,$T4 # padbit, yes, always + + jbe .Lskip_loop_avx + + # expand and copy pre-calculated table to stack + vmovdqu `16*1-64`($ctx),$D1 + vmovdqu `16*2-64`($ctx),$D2 + vpshufd \$0xEE,$D4,$D3 # 34xx -> 3434 + vpshufd \$0x44,$D4,$D0 # xx12 -> 1212 + vmovdqa $D3,-0x90(%r11) + vmovdqa $D0,0x00(%rsp) + vpshufd \$0xEE,$D1,$D4 + vmovdqu `16*3-64`($ctx),$D0 + vpshufd \$0x44,$D1,$D1 + vmovdqa $D4,-0x80(%r11) + vmovdqa $D1,0x10(%rsp) + vpshufd \$0xEE,$D2,$D3 + vmovdqu `16*4-64`($ctx),$D1 + vpshufd \$0x44,$D2,$D2 + vmovdqa $D3,-0x70(%r11) + vmovdqa $D2,0x20(%rsp) + vpshufd \$0xEE,$D0,$D4 + vmovdqu `16*5-64`($ctx),$D2 + vpshufd \$0x44,$D0,$D0 + vmovdqa $D4,-0x60(%r11) + vmovdqa $D0,0x30(%rsp) + vpshufd \$0xEE,$D1,$D3 + vmovdqu `16*6-64`($ctx),$D0 + vpshufd \$0x44,$D1,$D1 + vmovdqa $D3,-0x50(%r11) + vmovdqa $D1,0x40(%rsp) + vpshufd \$0xEE,$D2,$D4 + vmovdqu `16*7-64`($ctx),$D1 + vpshufd \$0x44,$D2,$D2 + vmovdqa $D4,-0x40(%r11) + vmovdqa $D2,0x50(%rsp) + vpshufd \$0xEE,$D0,$D3 + vmovdqu `16*8-64`($ctx),$D2 + vpshufd \$0x44,$D0,$D0 + vmovdqa $D3,-0x30(%r11) + vmovdqa $D0,0x60(%rsp) + vpshufd \$0xEE,$D1,$D4 + vpshufd \$0x44,$D1,$D1 + vmovdqa $D4,-0x20(%r11) + vmovdqa $D1,0x70(%rsp) + vpshufd \$0xEE,$D2,$D3 + vmovdqa 0x00(%rsp),$D4 # preload r0^2 + vpshufd \$0x44,$D2,$D2 + vmovdqa $D3,-0x10(%r11) + vmovdqa $D2,0x80(%rsp) + + jmp .Loop_avx + +.align 32 +.Loop_avx: + ################################################################ + # ((inp[0]*r^4+inp[2]*r^2+inp[4])*r^4+inp[6]*r^2 + # ((inp[1]*r^4+inp[3]*r^2+inp[5])*r^3+inp[7]*r + # \___________________/ + # ((inp[0]*r^4+inp[2]*r^2+inp[4])*r^4+inp[6]*r^2+inp[8])*r^2 + # ((inp[1]*r^4+inp[3]*r^2+inp[5])*r^4+inp[7]*r^2+inp[9])*r + # \___________________/ \____________________/ + # + # Note that we start with inp[2:3]*r^2. This is because it + # doesn't depend on reduction in previous iteration. + ################################################################ + # d4 = h4*r0 + h3*r1 + h2*r2 + h1*r3 + h0*r4 + # d3 = h3*r0 + h2*r1 + h1*r2 + h0*r3 + h4*5*r4 + # d2 = h2*r0 + h1*r1 + h0*r2 + h4*5*r3 + h3*5*r4 + # d1 = h1*r0 + h0*r1 + h4*5*r2 + h3*5*r3 + h2*5*r4 + # d0 = h0*r0 + h4*5*r1 + h3*5*r2 + h2*5*r3 + h1*5*r4 + # + # though note that $Tx and $Hx are "reversed" in this section, + # and $D4 is preloaded with r0^2... + + vpmuludq $T0,$D4,$D0 # d0 = h0*r0 + vpmuludq $T1,$D4,$D1 # d1 = h1*r0 + vmovdqa $H2,0x20(%r11) # offload hash + vpmuludq $T2,$D4,$D2 # d3 = h2*r0 + vmovdqa 0x10(%rsp),$H2 # r1^2 + vpmuludq $T3,$D4,$D3 # d3 = h3*r0 + vpmuludq $T4,$D4,$D4 # d4 = h4*r0 + + vmovdqa $H0,0x00(%r11) # + vpmuludq 0x20(%rsp),$T4,$H0 # h4*s1 + vmovdqa $H1,0x10(%r11) # + vpmuludq $T3,$H2,$H1 # h3*r1 + vpaddq $H0,$D0,$D0 # d0 += h4*s1 + vpaddq $H1,$D4,$D4 # d4 += h3*r1 + vmovdqa $H3,0x30(%r11) # + vpmuludq $T2,$H2,$H0 # h2*r1 + vpmuludq $T1,$H2,$H1 # h1*r1 + vpaddq $H0,$D3,$D3 # d3 += h2*r1 + vmovdqa 0x30(%rsp),$H3 # r2^2 + vpaddq $H1,$D2,$D2 # d2 += h1*r1 + vmovdqa $H4,0x40(%r11) # + vpmuludq $T0,$H2,$H2 # h0*r1 + vpmuludq $T2,$H3,$H0 # h2*r2 + vpaddq $H2,$D1,$D1 # d1 += h0*r1 + + vmovdqa 0x40(%rsp),$H4 # s2^2 + vpaddq $H0,$D4,$D4 # d4 += h2*r2 + vpmuludq $T1,$H3,$H1 # h1*r2 + vpmuludq $T0,$H3,$H3 # h0*r2 + vpaddq $H1,$D3,$D3 # d3 += h1*r2 + vmovdqa 0x50(%rsp),$H2 # r3^2 + vpaddq $H3,$D2,$D2 # d2 += h0*r2 + vpmuludq $T4,$H4,$H0 # h4*s2 + vpmuludq $T3,$H4,$H4 # h3*s2 + vpaddq $H0,$D1,$D1 # d1 += h4*s2 + vmovdqa 0x60(%rsp),$H3 # s3^2 + vpaddq $H4,$D0,$D0 # d0 += h3*s2 + + vmovdqa 0x80(%rsp),$H4 # s4^2 + vpmuludq $T1,$H2,$H1 # h1*r3 + vpmuludq $T0,$H2,$H2 # h0*r3 + vpaddq $H1,$D4,$D4 # d4 += h1*r3 + vpaddq $H2,$D3,$D3 # d3 += h0*r3 + vpmuludq $T4,$H3,$H0 # h4*s3 + vpmuludq $T3,$H3,$H1 # h3*s3 + vpaddq $H0,$D2,$D2 # d2 += h4*s3 + vmovdqu 16*0($inp),$H0 # load input + vpaddq $H1,$D1,$D1 # d1 += h3*s3 + vpmuludq $T2,$H3,$H3 # h2*s3 + vpmuludq $T2,$H4,$T2 # h2*s4 + vpaddq $H3,$D0,$D0 # d0 += h2*s3 + + vmovdqu 16*1($inp),$H1 # + vpaddq $T2,$D1,$D1 # d1 += h2*s4 + vpmuludq $T3,$H4,$T3 # h3*s4 + vpmuludq $T4,$H4,$T4 # h4*s4 + vpsrldq \$6,$H0,$H2 # splat input + vpaddq $T3,$D2,$D2 # d2 += h3*s4 + vpaddq $T4,$D3,$D3 # d3 += h4*s4 + vpsrldq \$6,$H1,$H3 # + vpmuludq 0x70(%rsp),$T0,$T4 # h0*r4 + vpmuludq $T1,$H4,$T0 # h1*s4 + vpunpckhqdq $H1,$H0,$H4 # 4 + vpaddq $T4,$D4,$D4 # d4 += h0*r4 + vmovdqa -0x90(%r11),$T4 # r0^4 + vpaddq $T0,$D0,$D0 # d0 += h1*s4 + + vpunpcklqdq $H1,$H0,$H0 # 0:1 + vpunpcklqdq $H3,$H2,$H3 # 2:3 + + #vpsrlq \$40,$H4,$H4 # 4 + vpsrldq \$`40/8`,$H4,$H4 # 4 + vpsrlq \$26,$H0,$H1 + vpand $MASK,$H0,$H0 # 0 + vpsrlq \$4,$H3,$H2 + vpand $MASK,$H1,$H1 # 1 + vpand 0(%rcx),$H4,$H4 # .Lmask24 + vpsrlq \$30,$H3,$H3 + vpand $MASK,$H2,$H2 # 2 + vpand $MASK,$H3,$H3 # 3 + vpor 32(%rcx),$H4,$H4 # padbit, yes, always + + vpaddq 0x00(%r11),$H0,$H0 # add hash value + vpaddq 0x10(%r11),$H1,$H1 + vpaddq 0x20(%r11),$H2,$H2 + vpaddq 0x30(%r11),$H3,$H3 + vpaddq 0x40(%r11),$H4,$H4 + + lea 16*2($inp),%rax + lea 16*4($inp),$inp + sub \$64,$len + cmovc %rax,$inp + + ################################################################ + # Now we accumulate (inp[0:1]+hash)*r^4 + ################################################################ + # d4 = h4*r0 + h3*r1 + h2*r2 + h1*r3 + h0*r4 + # d3 = h3*r0 + h2*r1 + h1*r2 + h0*r3 + h4*5*r4 + # d2 = h2*r0 + h1*r1 + h0*r2 + h4*5*r3 + h3*5*r4 + # d1 = h1*r0 + h0*r1 + h4*5*r2 + h3*5*r3 + h2*5*r4 + # d0 = h0*r0 + h4*5*r1 + h3*5*r2 + h2*5*r3 + h1*5*r4 + + vpmuludq $H0,$T4,$T0 # h0*r0 + vpmuludq $H1,$T4,$T1 # h1*r0 + vpaddq $T0,$D0,$D0 + vpaddq $T1,$D1,$D1 + vmovdqa -0x80(%r11),$T2 # r1^4 + vpmuludq $H2,$T4,$T0 # h2*r0 + vpmuludq $H3,$T4,$T1 # h3*r0 + vpaddq $T0,$D2,$D2 + vpaddq $T1,$D3,$D3 + vpmuludq $H4,$T4,$T4 # h4*r0 + vpmuludq -0x70(%r11),$H4,$T0 # h4*s1 + vpaddq $T4,$D4,$D4 + + vpaddq $T0,$D0,$D0 # d0 += h4*s1 + vpmuludq $H2,$T2,$T1 # h2*r1 + vpmuludq $H3,$T2,$T0 # h3*r1 + vpaddq $T1,$D3,$D3 # d3 += h2*r1 + vmovdqa -0x60(%r11),$T3 # r2^4 + vpaddq $T0,$D4,$D4 # d4 += h3*r1 + vpmuludq $H1,$T2,$T1 # h1*r1 + vpmuludq $H0,$T2,$T2 # h0*r1 + vpaddq $T1,$D2,$D2 # d2 += h1*r1 + vpaddq $T2,$D1,$D1 # d1 += h0*r1 + + vmovdqa -0x50(%r11),$T4 # s2^4 + vpmuludq $H2,$T3,$T0 # h2*r2 + vpmuludq $H1,$T3,$T1 # h1*r2 + vpaddq $T0,$D4,$D4 # d4 += h2*r2 + vpaddq $T1,$D3,$D3 # d3 += h1*r2 + vmovdqa -0x40(%r11),$T2 # r3^4 + vpmuludq $H0,$T3,$T3 # h0*r2 + vpmuludq $H4,$T4,$T0 # h4*s2 + vpaddq $T3,$D2,$D2 # d2 += h0*r2 + vpaddq $T0,$D1,$D1 # d1 += h4*s2 + vmovdqa -0x30(%r11),$T3 # s3^4 + vpmuludq $H3,$T4,$T4 # h3*s2 + vpmuludq $H1,$T2,$T1 # h1*r3 + vpaddq $T4,$D0,$D0 # d0 += h3*s2 + + vmovdqa -0x10(%r11),$T4 # s4^4 + vpaddq $T1,$D4,$D4 # d4 += h1*r3 + vpmuludq $H0,$T2,$T2 # h0*r3 + vpmuludq $H4,$T3,$T0 # h4*s3 + vpaddq $T2,$D3,$D3 # d3 += h0*r3 + vpaddq $T0,$D2,$D2 # d2 += h4*s3 + vmovdqu 16*2($inp),$T0 # load input + vpmuludq $H3,$T3,$T2 # h3*s3 + vpmuludq $H2,$T3,$T3 # h2*s3 + vpaddq $T2,$D1,$D1 # d1 += h3*s3 + vmovdqu 16*3($inp),$T1 # + vpaddq $T3,$D0,$D0 # d0 += h2*s3 + + vpmuludq $H2,$T4,$H2 # h2*s4 + vpmuludq $H3,$T4,$H3 # h3*s4 + vpsrldq \$6,$T0,$T2 # splat input + vpaddq $H2,$D1,$D1 # d1 += h2*s4 + vpmuludq $H4,$T4,$H4 # h4*s4 + vpsrldq \$6,$T1,$T3 # + vpaddq $H3,$D2,$H2 # h2 = d2 + h3*s4 + vpaddq $H4,$D3,$H3 # h3 = d3 + h4*s4 + vpmuludq -0x20(%r11),$H0,$H4 # h0*r4 + vpmuludq $H1,$T4,$H0 + vpunpckhqdq $T1,$T0,$T4 # 4 + vpaddq $H4,$D4,$H4 # h4 = d4 + h0*r4 + vpaddq $H0,$D0,$H0 # h0 = d0 + h1*s4 + + vpunpcklqdq $T1,$T0,$T0 # 0:1 + vpunpcklqdq $T3,$T2,$T3 # 2:3 + + #vpsrlq \$40,$T4,$T4 # 4 + vpsrldq \$`40/8`,$T4,$T4 # 4 + vpsrlq \$26,$T0,$T1 + vmovdqa 0x00(%rsp),$D4 # preload r0^2 + vpand $MASK,$T0,$T0 # 0 + vpsrlq \$4,$T3,$T2 + vpand $MASK,$T1,$T1 # 1 + vpand 0(%rcx),$T4,$T4 # .Lmask24 + vpsrlq \$30,$T3,$T3 + vpand $MASK,$T2,$T2 # 2 + vpand $MASK,$T3,$T3 # 3 + vpor 32(%rcx),$T4,$T4 # padbit, yes, always + + ################################################################ + # lazy reduction as discussed in "NEON crypto" by D.J. Bernstein + # and P. Schwabe + + vpsrlq \$26,$H3,$D3 + vpand $MASK,$H3,$H3 + vpaddq $D3,$H4,$H4 # h3 -> h4 + + vpsrlq \$26,$H0,$D0 + vpand $MASK,$H0,$H0 + vpaddq $D0,$D1,$H1 # h0 -> h1 + + vpsrlq \$26,$H4,$D0 + vpand $MASK,$H4,$H4 + + vpsrlq \$26,$H1,$D1 + vpand $MASK,$H1,$H1 + vpaddq $D1,$H2,$H2 # h1 -> h2 + + vpaddq $D0,$H0,$H0 + vpsllq \$2,$D0,$D0 + vpaddq $D0,$H0,$H0 # h4 -> h0 + + vpsrlq \$26,$H2,$D2 + vpand $MASK,$H2,$H2 + vpaddq $D2,$H3,$H3 # h2 -> h3 + + vpsrlq \$26,$H0,$D0 + vpand $MASK,$H0,$H0 + vpaddq $D0,$H1,$H1 # h0 -> h1 + + vpsrlq \$26,$H3,$D3 + vpand $MASK,$H3,$H3 + vpaddq $D3,$H4,$H4 # h3 -> h4 + + ja .Loop_avx + +.Lskip_loop_avx: + ################################################################ + # multiply (inp[0:1]+hash) or inp[2:3] by r^2:r^1 + + vpshufd \$0x10,$D4,$D4 # r0^n, xx12 -> x1x2 + add \$32,$len + jnz .Long_tail_avx + + vpaddq $H2,$T2,$T2 + vpaddq $H0,$T0,$T0 + vpaddq $H1,$T1,$T1 + vpaddq $H3,$T3,$T3 + vpaddq $H4,$T4,$T4 + +.Long_tail_avx: + vmovdqa $H2,0x20(%r11) + vmovdqa $H0,0x00(%r11) + vmovdqa $H1,0x10(%r11) + vmovdqa $H3,0x30(%r11) + vmovdqa $H4,0x40(%r11) + + # d4 = h4*r0 + h3*r1 + h2*r2 + h1*r3 + h0*r4 + # d3 = h3*r0 + h2*r1 + h1*r2 + h0*r3 + h4*5*r4 + # d2 = h2*r0 + h1*r1 + h0*r2 + h4*5*r3 + h3*5*r4 + # d1 = h1*r0 + h0*r1 + h4*5*r2 + h3*5*r3 + h2*5*r4 + # d0 = h0*r0 + h4*5*r1 + h3*5*r2 + h2*5*r3 + h1*5*r4 + + vpmuludq $T2,$D4,$D2 # d2 = h2*r0 + vpmuludq $T0,$D4,$D0 # d0 = h0*r0 + vpshufd \$0x10,`16*1-64`($ctx),$H2 # r1^n + vpmuludq $T1,$D4,$D1 # d1 = h1*r0 + vpmuludq $T3,$D4,$D3 # d3 = h3*r0 + vpmuludq $T4,$D4,$D4 # d4 = h4*r0 + + vpmuludq $T3,$H2,$H0 # h3*r1 + vpaddq $H0,$D4,$D4 # d4 += h3*r1 + vpshufd \$0x10,`16*2-64`($ctx),$H3 # s1^n + vpmuludq $T2,$H2,$H1 # h2*r1 + vpaddq $H1,$D3,$D3 # d3 += h2*r1 + vpshufd \$0x10,`16*3-64`($ctx),$H4 # r2^n + vpmuludq $T1,$H2,$H0 # h1*r1 + vpaddq $H0,$D2,$D2 # d2 += h1*r1 + vpmuludq $T0,$H2,$H2 # h0*r1 + vpaddq $H2,$D1,$D1 # d1 += h0*r1 + vpmuludq $T4,$H3,$H3 # h4*s1 + vpaddq $H3,$D0,$D0 # d0 += h4*s1 + + vpshufd \$0x10,`16*4-64`($ctx),$H2 # s2^n + vpmuludq $T2,$H4,$H1 # h2*r2 + vpaddq $H1,$D4,$D4 # d4 += h2*r2 + vpmuludq $T1,$H4,$H0 # h1*r2 + vpaddq $H0,$D3,$D3 # d3 += h1*r2 + vpshufd \$0x10,`16*5-64`($ctx),$H3 # r3^n + vpmuludq $T0,$H4,$H4 # h0*r2 + vpaddq $H4,$D2,$D2 # d2 += h0*r2 + vpmuludq $T4,$H2,$H1 # h4*s2 + vpaddq $H1,$D1,$D1 # d1 += h4*s2 + vpshufd \$0x10,`16*6-64`($ctx),$H4 # s3^n + vpmuludq $T3,$H2,$H2 # h3*s2 + vpaddq $H2,$D0,$D0 # d0 += h3*s2 + + vpmuludq $T1,$H3,$H0 # h1*r3 + vpaddq $H0,$D4,$D4 # d4 += h1*r3 + vpmuludq $T0,$H3,$H3 # h0*r3 + vpaddq $H3,$D3,$D3 # d3 += h0*r3 + vpshufd \$0x10,`16*7-64`($ctx),$H2 # r4^n + vpmuludq $T4,$H4,$H1 # h4*s3 + vpaddq $H1,$D2,$D2 # d2 += h4*s3 + vpshufd \$0x10,`16*8-64`($ctx),$H3 # s4^n + vpmuludq $T3,$H4,$H0 # h3*s3 + vpaddq $H0,$D1,$D1 # d1 += h3*s3 + vpmuludq $T2,$H4,$H4 # h2*s3 + vpaddq $H4,$D0,$D0 # d0 += h2*s3 + + vpmuludq $T0,$H2,$H2 # h0*r4 + vpaddq $H2,$D4,$D4 # h4 = d4 + h0*r4 + vpmuludq $T4,$H3,$H1 # h4*s4 + vpaddq $H1,$D3,$D3 # h3 = d3 + h4*s4 + vpmuludq $T3,$H3,$H0 # h3*s4 + vpaddq $H0,$D2,$D2 # h2 = d2 + h3*s4 + vpmuludq $T2,$H3,$H1 # h2*s4 + vpaddq $H1,$D1,$D1 # h1 = d1 + h2*s4 + vpmuludq $T1,$H3,$H3 # h1*s4 + vpaddq $H3,$D0,$D0 # h0 = d0 + h1*s4 + + jz .Lshort_tail_avx + + vmovdqu 16*0($inp),$H0 # load input + vmovdqu 16*1($inp),$H1 + + vpsrldq \$6,$H0,$H2 # splat input + vpsrldq \$6,$H1,$H3 + vpunpckhqdq $H1,$H0,$H4 # 4 + vpunpcklqdq $H1,$H0,$H0 # 0:1 + vpunpcklqdq $H3,$H2,$H3 # 2:3 + + vpsrlq \$40,$H4,$H4 # 4 + vpsrlq \$26,$H0,$H1 + vpand $MASK,$H0,$H0 # 0 + vpsrlq \$4,$H3,$H2 + vpand $MASK,$H1,$H1 # 1 + vpsrlq \$30,$H3,$H3 + vpand $MASK,$H2,$H2 # 2 + vpand $MASK,$H3,$H3 # 3 + vpor 32(%rcx),$H4,$H4 # padbit, yes, always + + vpshufd \$0x32,`16*0-64`($ctx),$T4 # r0^n, 34xx -> x3x4 + vpaddq 0x00(%r11),$H0,$H0 + vpaddq 0x10(%r11),$H1,$H1 + vpaddq 0x20(%r11),$H2,$H2 + vpaddq 0x30(%r11),$H3,$H3 + vpaddq 0x40(%r11),$H4,$H4 + + ################################################################ + # multiply (inp[0:1]+hash) by r^4:r^3 and accumulate + + vpmuludq $H0,$T4,$T0 # h0*r0 + vpaddq $T0,$D0,$D0 # d0 += h0*r0 + vpmuludq $H1,$T4,$T1 # h1*r0 + vpaddq $T1,$D1,$D1 # d1 += h1*r0 + vpmuludq $H2,$T4,$T0 # h2*r0 + vpaddq $T0,$D2,$D2 # d2 += h2*r0 + vpshufd \$0x32,`16*1-64`($ctx),$T2 # r1^n + vpmuludq $H3,$T4,$T1 # h3*r0 + vpaddq $T1,$D3,$D3 # d3 += h3*r0 + vpmuludq $H4,$T4,$T4 # h4*r0 + vpaddq $T4,$D4,$D4 # d4 += h4*r0 + + vpmuludq $H3,$T2,$T0 # h3*r1 + vpaddq $T0,$D4,$D4 # d4 += h3*r1 + vpshufd \$0x32,`16*2-64`($ctx),$T3 # s1 + vpmuludq $H2,$T2,$T1 # h2*r1 + vpaddq $T1,$D3,$D3 # d3 += h2*r1 + vpshufd \$0x32,`16*3-64`($ctx),$T4 # r2 + vpmuludq $H1,$T2,$T0 # h1*r1 + vpaddq $T0,$D2,$D2 # d2 += h1*r1 + vpmuludq $H0,$T2,$T2 # h0*r1 + vpaddq $T2,$D1,$D1 # d1 += h0*r1 + vpmuludq $H4,$T3,$T3 # h4*s1 + vpaddq $T3,$D0,$D0 # d0 += h4*s1 + + vpshufd \$0x32,`16*4-64`($ctx),$T2 # s2 + vpmuludq $H2,$T4,$T1 # h2*r2 + vpaddq $T1,$D4,$D4 # d4 += h2*r2 + vpmuludq $H1,$T4,$T0 # h1*r2 + vpaddq $T0,$D3,$D3 # d3 += h1*r2 + vpshufd \$0x32,`16*5-64`($ctx),$T3 # r3 + vpmuludq $H0,$T4,$T4 # h0*r2 + vpaddq $T4,$D2,$D2 # d2 += h0*r2 + vpmuludq $H4,$T2,$T1 # h4*s2 + vpaddq $T1,$D1,$D1 # d1 += h4*s2 + vpshufd \$0x32,`16*6-64`($ctx),$T4 # s3 + vpmuludq $H3,$T2,$T2 # h3*s2 + vpaddq $T2,$D0,$D0 # d0 += h3*s2 + + vpmuludq $H1,$T3,$T0 # h1*r3 + vpaddq $T0,$D4,$D4 # d4 += h1*r3 + vpmuludq $H0,$T3,$T3 # h0*r3 + vpaddq $T3,$D3,$D3 # d3 += h0*r3 + vpshufd \$0x32,`16*7-64`($ctx),$T2 # r4 + vpmuludq $H4,$T4,$T1 # h4*s3 + vpaddq $T1,$D2,$D2 # d2 += h4*s3 + vpshufd \$0x32,`16*8-64`($ctx),$T3 # s4 + vpmuludq $H3,$T4,$T0 # h3*s3 + vpaddq $T0,$D1,$D1 # d1 += h3*s3 + vpmuludq $H2,$T4,$T4 # h2*s3 + vpaddq $T4,$D0,$D0 # d0 += h2*s3 + + vpmuludq $H0,$T2,$T2 # h0*r4 + vpaddq $T2,$D4,$D4 # d4 += h0*r4 + vpmuludq $H4,$T3,$T1 # h4*s4 + vpaddq $T1,$D3,$D3 # d3 += h4*s4 + vpmuludq $H3,$T3,$T0 # h3*s4 + vpaddq $T0,$D2,$D2 # d2 += h3*s4 + vpmuludq $H2,$T3,$T1 # h2*s4 + vpaddq $T1,$D1,$D1 # d1 += h2*s4 + vpmuludq $H1,$T3,$T3 # h1*s4 + vpaddq $T3,$D0,$D0 # d0 += h1*s4 + +.Lshort_tail_avx: + ################################################################ + # horizontal addition + + vpsrldq \$8,$D4,$T4 + vpsrldq \$8,$D3,$T3 + vpsrldq \$8,$D1,$T1 + vpsrldq \$8,$D0,$T0 + vpsrldq \$8,$D2,$T2 + vpaddq $T3,$D3,$D3 + vpaddq $T4,$D4,$D4 + vpaddq $T0,$D0,$D0 + vpaddq $T1,$D1,$D1 + vpaddq $T2,$D2,$D2 + + ################################################################ + # lazy reduction + + vpsrlq \$26,$D3,$H3 + vpand $MASK,$D3,$D3 + vpaddq $H3,$D4,$D4 # h3 -> h4 + + vpsrlq \$26,$D0,$H0 + vpand $MASK,$D0,$D0 + vpaddq $H0,$D1,$D1 # h0 -> h1 + + vpsrlq \$26,$D4,$H4 + vpand $MASK,$D4,$D4 + + vpsrlq \$26,$D1,$H1 + vpand $MASK,$D1,$D1 + vpaddq $H1,$D2,$D2 # h1 -> h2 + + vpaddq $H4,$D0,$D0 + vpsllq \$2,$H4,$H4 + vpaddq $H4,$D0,$D0 # h4 -> h0 + + vpsrlq \$26,$D2,$H2 + vpand $MASK,$D2,$D2 + vpaddq $H2,$D3,$D3 # h2 -> h3 + + vpsrlq \$26,$D0,$H0 + vpand $MASK,$D0,$D0 + vpaddq $H0,$D1,$D1 # h0 -> h1 + + vpsrlq \$26,$D3,$H3 + vpand $MASK,$D3,$D3 + vpaddq $H3,$D4,$D4 # h3 -> h4 + + vmovd $D0,`4*0-48-64`($ctx) # save partially reduced + vmovd $D1,`4*1-48-64`($ctx) + vmovd $D2,`4*2-48-64`($ctx) + vmovd $D3,`4*3-48-64`($ctx) + vmovd $D4,`4*4-48-64`($ctx) +___ +$code.=<<___ if ($win64); + vmovdqa 0x50(%r11),%xmm6 + vmovdqa 0x60(%r11),%xmm7 + vmovdqa 0x70(%r11),%xmm8 + vmovdqa 0x80(%r11),%xmm9 + vmovdqa 0x90(%r11),%xmm10 + vmovdqa 0xa0(%r11),%xmm11 + vmovdqa 0xb0(%r11),%xmm12 + vmovdqa 0xc0(%r11),%xmm13 + vmovdqa 0xd0(%r11),%xmm14 + vmovdqa 0xe0(%r11),%xmm15 + lea 0xf8(%r11),%rsp +.Ldo_avx_epilogue: +___ +$code.=<<___ if (!$win64); + lea 0x58(%r11),%rsp +.cfi_def_cfa %rsp,8 +___ +$code.=<<___; + vzeroupper + ret +.cfi_endproc +.size poly1305_blocks_avx,.-poly1305_blocks_avx +___ + +if ($avx>1) { +my ($H0,$H1,$H2,$H3,$H4, $MASK, $T4,$T0,$T1,$T2,$T3, $D0,$D1,$D2,$D3,$D4) = + map("%ymm$_",(0..15)); +my $S4=$MASK; + +$code.=<<___; +.type poly1305_blocks_avx2,\@function,4 +.align 32 +poly1305_blocks_avx2: +.cfi_startproc + mov 20($ctx),%r8d # load is_base2_26 + cmp \$128,$len + jb .Lblocks + + and \$-16,$len + + vzeroupper + + test %r8d,%r8d # is_base2_26? + jz .Lbase2_64_avx2 + + test \$63,$len + jz .Leven_avx2 + + push %rbx +.cfi_push %rbx + push %rbp +.cfi_push %rbp + push %r12 +.cfi_push %r12 + push %r13 +.cfi_push %r13 + push %r14 +.cfi_push %r14 + push %r15 +.cfi_push %r15 + lea -8(%rsp),%rsp +.cfi_adjust_cfa_offset 8 +.Lblocks_avx2_body: + + mov $len,%r15 # reassign $len + + mov 0($ctx),$d1 # load hash value + mov 8($ctx),$d2 + mov 16($ctx),$h2#d + + mov 24($ctx),$r0 # load r + mov 32($ctx),$s1 + + ################################# base 2^26 -> base 2^64 + mov $d1#d,$h0#d + and \$`-1*(1<<31)`,$d1 + mov $d2,$r1 # borrow $r1 + mov $d2#d,$h1#d + and \$`-1*(1<<31)`,$d2 + + shr \$6,$d1 + shl \$52,$r1 + add $d1,$h0 + shr \$12,$h1 + shr \$18,$d2 + add $r1,$h0 + adc $d2,$h1 + + mov $h2,$d1 + shl \$40,$d1 + shr \$24,$h2 + add $d1,$h1 + adc \$0,$h2 # can be partially reduced... + + mov $s1,$r1 + mov $s1,%rax + shr \$2,$s1 + add $r1,$s1 # s1 = r1 + (r1 >> 2) + +.Lbase2_26_pre_avx2: + add 0($inp),$h0 # accumulate input + adc 8($inp),$h1 + lea 16($inp),$inp + adc $padbit,$h2 + sub \$16,%r15 + + call __poly1305_block + mov $r1,%rax + + test \$63,%r15 + jnz .Lbase2_26_pre_avx2 + + ################################# base 2^64 -> base 2^26 + mov $h0,%rax + mov $h0,%rdx + shr \$52,$h0 + mov $h1,$r0 + mov $h1,$r1 + shr \$26,%rdx + and \$0x3ffffff,%rax # h[0] + shl \$12,$r0 + and \$0x3ffffff,%rdx # h[1] + shr \$14,$h1 + or $r0,$h0 + shl \$24,$h2 + and \$0x3ffffff,$h0 # h[2] + shr \$40,$r1 + and \$0x3ffffff,$h1 # h[3] + or $r1,$h2 # h[4] + + vmovd %rax#d,%x#$H0 + vmovd %rdx#d,%x#$H1 + vmovd $h0#d,%x#$H2 + vmovd $h1#d,%x#$H3 + vmovd $h2#d,%x#$H4 + + mov %r15,$len # restore $len + + mov 8(%rsp),%r15 +.cfi_restore %r15 + mov 16(%rsp),%r14 +.cfi_restore %r14 + mov 24(%rsp),%r13 +.cfi_restore %r13 + mov 32(%rsp),%r12 +.cfi_restore %r12 + mov 40(%rsp),%rbp +.cfi_restore %rbp + mov 48(%rsp),%rbx +.cfi_restore %rbx + lea 56(%rsp),%rax # for win64 + lea 56(%rsp),%rsp +.cfi_adjust_cfa_offset -56 +.Lblocks_avx2_epilogue: + jmp .Ldo_avx2 +.cfi_endproc + +.align 32 +.Lbase2_64_avx2: +.cfi_startproc + push %rbx +.cfi_push %rbx + push %rbp +.cfi_push %rbp + push %r12 +.cfi_push %r12 + push %r13 +.cfi_push %r13 + push %r14 +.cfi_push %r14 + push %r15 +.cfi_push %r15 + lea -8(%rsp),%rsp +.cfi_adjust_cfa_offset 8 +.Lbase2_64_avx2_body: + + mov $len,%r15 # reassign $len + + mov 24($ctx),$r0 # load r + mov 32($ctx),$s1 + + mov 0($ctx),$h0 # load hash value + mov 8($ctx),$h1 + mov 16($ctx),$h2#d + + mov $s1,$r1 + mov $s1,%rax + shr \$2,$s1 + add $r1,$s1 # s1 = r1 + (r1 >> 2) + + test \$63,$len + jz .Linit_avx2 + +.Lbase2_64_pre_avx2: + add 0($inp),$h0 # accumulate input + adc 8($inp),$h1 + lea 16($inp),$inp + adc $padbit,$h2 + sub \$16,%r15 + + call __poly1305_block + mov $r1,%rax + + test \$63,%r15 + jnz .Lbase2_64_pre_avx2 + +.Linit_avx2: + ################################# base 2^64 -> base 2^26 + mov $h0,%rax + mov $h0,%rdx + shr \$52,$h0 + mov $h1,$d1 + mov $h1,$d2 + shr \$26,%rdx + and \$0x3ffffff,%rax # h[0] + shl \$12,$d1 + and \$0x3ffffff,%rdx # h[1] + shr \$14,$h1 + or $d1,$h0 + shl \$24,$h2 + and \$0x3ffffff,$h0 # h[2] + shr \$40,$d2 + and \$0x3ffffff,$h1 # h[3] + or $d2,$h2 # h[4] + + vmovd %rax#d,%x#$H0 + vmovd %rdx#d,%x#$H1 + vmovd $h0#d,%x#$H2 + vmovd $h1#d,%x#$H3 + vmovd $h2#d,%x#$H4 + movl \$1,20($ctx) # set is_base2_26 + + call __poly1305_init_avx + + mov %r15,$len # restore $len + + mov 8(%rsp),%r15 +.cfi_restore %r15 + mov 16(%rsp),%r14 +.cfi_restore %r14 + mov 24(%rsp),%r13 +.cfi_restore %r13 + mov 32(%rsp),%r12 +.cfi_restore %r12 + mov 40(%rsp),%rbp +.cfi_restore %rbp + mov 48(%rsp),%rbx +.cfi_restore %rbx + lea 56(%rsp),%rax # for inw64 + lea 56(%rsp),%rsp +.cfi_adjust_cfa_offset -56 +.Lbase2_64_avx2_epilogue: + jmp .Ldo_avx2 +.cfi_endproc + +.align 32 +.Leven_avx2: +.cfi_startproc + vmovd 4*0($ctx),%x#$H0 # load hash value base 2^26 + vmovd 4*1($ctx),%x#$H1 + vmovd 4*2($ctx),%x#$H2 + vmovd 4*3($ctx),%x#$H3 + vmovd 4*4($ctx),%x#$H4 + +.Ldo_avx2: +___ +$code.=<<___ if ($avx>2 && $flavour !~ /kernel/); + mov OPENSSL_ia32cap_P+8(%rip),%r10d + cmp \$512,$len + jb .Lskip_avx512 + test \$`1<<16`,%r10d # check for AVX512F + jnz .Lblocks_avx512 +.Lskip_avx512: +___ +$code.=<<___ if (!$win64); + lea -8(%rsp),%r11 +.cfi_def_cfa %r11,16 + sub \$0x128,%rsp +___ +$code.=<<___ if ($win64); + lea -0xf8(%rsp),%r11 + sub \$0x1c8,%rsp + vmovdqa %xmm6,0x50(%r11) + vmovdqa %xmm7,0x60(%r11) + vmovdqa %xmm8,0x70(%r11) + vmovdqa %xmm9,0x80(%r11) + vmovdqa %xmm10,0x90(%r11) + vmovdqa %xmm11,0xa0(%r11) + vmovdqa %xmm12,0xb0(%r11) + vmovdqa %xmm13,0xc0(%r11) + vmovdqa %xmm14,0xd0(%r11) + vmovdqa %xmm15,0xe0(%r11) +.Ldo_avx2_body: +___ +$code.=<<___; + lea .Lconst(%rip),%rcx + lea 48+64($ctx),$ctx # size optimization + vmovdqa 96(%rcx),$T0 # .Lpermd_avx2 + + # expand and copy pre-calculated table to stack + vmovdqu `16*0-64`($ctx),%x#$T2 + and \$-512,%rsp + vmovdqu `16*1-64`($ctx),%x#$T3 + vmovdqu `16*2-64`($ctx),%x#$T4 + vmovdqu `16*3-64`($ctx),%x#$D0 + vmovdqu `16*4-64`($ctx),%x#$D1 + vmovdqu `16*5-64`($ctx),%x#$D2 + lea 0x90(%rsp),%rax # size optimization + vmovdqu `16*6-64`($ctx),%x#$D3 + vpermd $T2,$T0,$T2 # 00003412 -> 14243444 + vmovdqu `16*7-64`($ctx),%x#$D4 + vpermd $T3,$T0,$T3 + vmovdqu `16*8-64`($ctx),%x#$MASK + vpermd $T4,$T0,$T4 + vmovdqa $T2,0x00(%rsp) + vpermd $D0,$T0,$D0 + vmovdqa $T3,0x20-0x90(%rax) + vpermd $D1,$T0,$D1 + vmovdqa $T4,0x40-0x90(%rax) + vpermd $D2,$T0,$D2 + vmovdqa $D0,0x60-0x90(%rax) + vpermd $D3,$T0,$D3 + vmovdqa $D1,0x80-0x90(%rax) + vpermd $D4,$T0,$D4 + vmovdqa $D2,0xa0-0x90(%rax) + vpermd $MASK,$T0,$MASK + vmovdqa $D3,0xc0-0x90(%rax) + vmovdqa $D4,0xe0-0x90(%rax) + vmovdqa $MASK,0x100-0x90(%rax) + vmovdqa 64(%rcx),$MASK # .Lmask26 + + ################################################################ + # load input + vmovdqu 16*0($inp),%x#$T0 + vmovdqu 16*1($inp),%x#$T1 + vinserti128 \$1,16*2($inp),$T0,$T0 + vinserti128 \$1,16*3($inp),$T1,$T1 + lea 16*4($inp),$inp + + vpsrldq \$6,$T0,$T2 # splat input + vpsrldq \$6,$T1,$T3 + vpunpckhqdq $T1,$T0,$T4 # 4 + vpunpcklqdq $T3,$T2,$T2 # 2:3 + vpunpcklqdq $T1,$T0,$T0 # 0:1 + + vpsrlq \$30,$T2,$T3 + vpsrlq \$4,$T2,$T2 + vpsrlq \$26,$T0,$T1 + vpsrlq \$40,$T4,$T4 # 4 + vpand $MASK,$T2,$T2 # 2 + vpand $MASK,$T0,$T0 # 0 + vpand $MASK,$T1,$T1 # 1 + vpand $MASK,$T3,$T3 # 3 + vpor 32(%rcx),$T4,$T4 # padbit, yes, always + + vpaddq $H2,$T2,$H2 # accumulate input + sub \$64,$len + jz .Ltail_avx2 + jmp .Loop_avx2 + +.align 32 +.Loop_avx2: + ################################################################ + # ((inp[0]*r^4+inp[4])*r^4+inp[ 8])*r^4 + # ((inp[1]*r^4+inp[5])*r^4+inp[ 9])*r^3 + # ((inp[2]*r^4+inp[6])*r^4+inp[10])*r^2 + # ((inp[3]*r^4+inp[7])*r^4+inp[11])*r^1 + # \________/\__________/ + ################################################################ + #vpaddq $H2,$T2,$H2 # accumulate input + vpaddq $H0,$T0,$H0 + vmovdqa `32*0`(%rsp),$T0 # r0^4 + vpaddq $H1,$T1,$H1 + vmovdqa `32*1`(%rsp),$T1 # r1^4 + vpaddq $H3,$T3,$H3 + vmovdqa `32*3`(%rsp),$T2 # r2^4 + vpaddq $H4,$T4,$H4 + vmovdqa `32*6-0x90`(%rax),$T3 # s3^4 + vmovdqa `32*8-0x90`(%rax),$S4 # s4^4 + + # d4 = h4*r0 + h3*r1 + h2*r2 + h1*r3 + h0*r4 + # d3 = h3*r0 + h2*r1 + h1*r2 + h0*r3 + h4*5*r4 + # d2 = h2*r0 + h1*r1 + h0*r2 + h4*5*r3 + h3*5*r4 + # d1 = h1*r0 + h0*r1 + h4*5*r2 + h3*5*r3 + h2*5*r4 + # d0 = h0*r0 + h4*5*r1 + h3*5*r2 + h2*5*r3 + h1*5*r4 + # + # however, as h2 is "chronologically" first one available pull + # corresponding operations up, so it's + # + # d4 = h2*r2 + h4*r0 + h3*r1 + h1*r3 + h0*r4 + # d3 = h2*r1 + h3*r0 + h1*r2 + h0*r3 + h4*5*r4 + # d2 = h2*r0 + h1*r1 + h0*r2 + h4*5*r3 + h3*5*r4 + # d1 = h2*5*r4 + h1*r0 + h0*r1 + h4*5*r2 + h3*5*r3 + # d0 = h2*5*r3 + h0*r0 + h4*5*r1 + h3*5*r2 + h1*5*r4 + + vpmuludq $H2,$T0,$D2 # d2 = h2*r0 + vpmuludq $H2,$T1,$D3 # d3 = h2*r1 + vpmuludq $H2,$T2,$D4 # d4 = h2*r2 + vpmuludq $H2,$T3,$D0 # d0 = h2*s3 + vpmuludq $H2,$S4,$D1 # d1 = h2*s4 + + vpmuludq $H0,$T1,$T4 # h0*r1 + vpmuludq $H1,$T1,$H2 # h1*r1, borrow $H2 as temp + vpaddq $T4,$D1,$D1 # d1 += h0*r1 + vpaddq $H2,$D2,$D2 # d2 += h1*r1 + vpmuludq $H3,$T1,$T4 # h3*r1 + vpmuludq `32*2`(%rsp),$H4,$H2 # h4*s1 + vpaddq $T4,$D4,$D4 # d4 += h3*r1 + vpaddq $H2,$D0,$D0 # d0 += h4*s1 + vmovdqa `32*4-0x90`(%rax),$T1 # s2 + + vpmuludq $H0,$T0,$T4 # h0*r0 + vpmuludq $H1,$T0,$H2 # h1*r0 + vpaddq $T4,$D0,$D0 # d0 += h0*r0 + vpaddq $H2,$D1,$D1 # d1 += h1*r0 + vpmuludq $H3,$T0,$T4 # h3*r0 + vpmuludq $H4,$T0,$H2 # h4*r0 + vmovdqu 16*0($inp),%x#$T0 # load input + vpaddq $T4,$D3,$D3 # d3 += h3*r0 + vpaddq $H2,$D4,$D4 # d4 += h4*r0 + vinserti128 \$1,16*2($inp),$T0,$T0 + + vpmuludq $H3,$T1,$T4 # h3*s2 + vpmuludq $H4,$T1,$H2 # h4*s2 + vmovdqu 16*1($inp),%x#$T1 + vpaddq $T4,$D0,$D0 # d0 += h3*s2 + vpaddq $H2,$D1,$D1 # d1 += h4*s2 + vmovdqa `32*5-0x90`(%rax),$H2 # r3 + vpmuludq $H1,$T2,$T4 # h1*r2 + vpmuludq $H0,$T2,$T2 # h0*r2 + vpaddq $T4,$D3,$D3 # d3 += h1*r2 + vpaddq $T2,$D2,$D2 # d2 += h0*r2 + vinserti128 \$1,16*3($inp),$T1,$T1 + lea 16*4($inp),$inp + + vpmuludq $H1,$H2,$T4 # h1*r3 + vpmuludq $H0,$H2,$H2 # h0*r3 + vpsrldq \$6,$T0,$T2 # splat input + vpaddq $T4,$D4,$D4 # d4 += h1*r3 + vpaddq $H2,$D3,$D3 # d3 += h0*r3 + vpmuludq $H3,$T3,$T4 # h3*s3 + vpmuludq $H4,$T3,$H2 # h4*s3 + vpsrldq \$6,$T1,$T3 + vpaddq $T4,$D1,$D1 # d1 += h3*s3 + vpaddq $H2,$D2,$D2 # d2 += h4*s3 + vpunpckhqdq $T1,$T0,$T4 # 4 + + vpmuludq $H3,$S4,$H3 # h3*s4 + vpmuludq $H4,$S4,$H4 # h4*s4 + vpunpcklqdq $T1,$T0,$T0 # 0:1 + vpaddq $H3,$D2,$H2 # h2 = d2 + h3*r4 + vpaddq $H4,$D3,$H3 # h3 = d3 + h4*r4 + vpunpcklqdq $T3,$T2,$T3 # 2:3 + vpmuludq `32*7-0x90`(%rax),$H0,$H4 # h0*r4 + vpmuludq $H1,$S4,$H0 # h1*s4 + vmovdqa 64(%rcx),$MASK # .Lmask26 + vpaddq $H4,$D4,$H4 # h4 = d4 + h0*r4 + vpaddq $H0,$D0,$H0 # h0 = d0 + h1*s4 + + ################################################################ + # lazy reduction (interleaved with tail of input splat) + + vpsrlq \$26,$H3,$D3 + vpand $MASK,$H3,$H3 + vpaddq $D3,$H4,$H4 # h3 -> h4 + + vpsrlq \$26,$H0,$D0 + vpand $MASK,$H0,$H0 + vpaddq $D0,$D1,$H1 # h0 -> h1 + + vpsrlq \$26,$H4,$D4 + vpand $MASK,$H4,$H4 + + vpsrlq \$4,$T3,$T2 + + vpsrlq \$26,$H1,$D1 + vpand $MASK,$H1,$H1 + vpaddq $D1,$H2,$H2 # h1 -> h2 + + vpaddq $D4,$H0,$H0 + vpsllq \$2,$D4,$D4 + vpaddq $D4,$H0,$H0 # h4 -> h0 + + vpand $MASK,$T2,$T2 # 2 + vpsrlq \$26,$T0,$T1 + + vpsrlq \$26,$H2,$D2 + vpand $MASK,$H2,$H2 + vpaddq $D2,$H3,$H3 # h2 -> h3 + + vpaddq $T2,$H2,$H2 # modulo-scheduled + vpsrlq \$30,$T3,$T3 + + vpsrlq \$26,$H0,$D0 + vpand $MASK,$H0,$H0 + vpaddq $D0,$H1,$H1 # h0 -> h1 + + vpsrlq \$40,$T4,$T4 # 4 + + vpsrlq \$26,$H3,$D3 + vpand $MASK,$H3,$H3 + vpaddq $D3,$H4,$H4 # h3 -> h4 + + vpand $MASK,$T0,$T0 # 0 + vpand $MASK,$T1,$T1 # 1 + vpand $MASK,$T3,$T3 # 3 + vpor 32(%rcx),$T4,$T4 # padbit, yes, always + + sub \$64,$len + jnz .Loop_avx2 + + .byte 0x66,0x90 +.Ltail_avx2: + ################################################################ + # while above multiplications were by r^4 in all lanes, in last + # iteration we multiply least significant lane by r^4 and most + # significant one by r, so copy of above except that references + # to the precomputed table are displaced by 4... + + #vpaddq $H2,$T2,$H2 # accumulate input + vpaddq $H0,$T0,$H0 + vmovdqu `32*0+4`(%rsp),$T0 # r0^4 + vpaddq $H1,$T1,$H1 + vmovdqu `32*1+4`(%rsp),$T1 # r1^4 + vpaddq $H3,$T3,$H3 + vmovdqu `32*3+4`(%rsp),$T2 # r2^4 + vpaddq $H4,$T4,$H4 + vmovdqu `32*6+4-0x90`(%rax),$T3 # s3^4 + vmovdqu `32*8+4-0x90`(%rax),$S4 # s4^4 + + vpmuludq $H2,$T0,$D2 # d2 = h2*r0 + vpmuludq $H2,$T1,$D3 # d3 = h2*r1 + vpmuludq $H2,$T2,$D4 # d4 = h2*r2 + vpmuludq $H2,$T3,$D0 # d0 = h2*s3 + vpmuludq $H2,$S4,$D1 # d1 = h2*s4 + + vpmuludq $H0,$T1,$T4 # h0*r1 + vpmuludq $H1,$T1,$H2 # h1*r1 + vpaddq $T4,$D1,$D1 # d1 += h0*r1 + vpaddq $H2,$D2,$D2 # d2 += h1*r1 + vpmuludq $H3,$T1,$T4 # h3*r1 + vpmuludq `32*2+4`(%rsp),$H4,$H2 # h4*s1 + vpaddq $T4,$D4,$D4 # d4 += h3*r1 + vpaddq $H2,$D0,$D0 # d0 += h4*s1 + + vpmuludq $H0,$T0,$T4 # h0*r0 + vpmuludq $H1,$T0,$H2 # h1*r0 + vpaddq $T4,$D0,$D0 # d0 += h0*r0 + vmovdqu `32*4+4-0x90`(%rax),$T1 # s2 + vpaddq $H2,$D1,$D1 # d1 += h1*r0 + vpmuludq $H3,$T0,$T4 # h3*r0 + vpmuludq $H4,$T0,$H2 # h4*r0 + vpaddq $T4,$D3,$D3 # d3 += h3*r0 + vpaddq $H2,$D4,$D4 # d4 += h4*r0 + + vpmuludq $H3,$T1,$T4 # h3*s2 + vpmuludq $H4,$T1,$H2 # h4*s2 + vpaddq $T4,$D0,$D0 # d0 += h3*s2 + vpaddq $H2,$D1,$D1 # d1 += h4*s2 + vmovdqu `32*5+4-0x90`(%rax),$H2 # r3 + vpmuludq $H1,$T2,$T4 # h1*r2 + vpmuludq $H0,$T2,$T2 # h0*r2 + vpaddq $T4,$D3,$D3 # d3 += h1*r2 + vpaddq $T2,$D2,$D2 # d2 += h0*r2 + + vpmuludq $H1,$H2,$T4 # h1*r3 + vpmuludq $H0,$H2,$H2 # h0*r3 + vpaddq $T4,$D4,$D4 # d4 += h1*r3 + vpaddq $H2,$D3,$D3 # d3 += h0*r3 + vpmuludq $H3,$T3,$T4 # h3*s3 + vpmuludq $H4,$T3,$H2 # h4*s3 + vpaddq $T4,$D1,$D1 # d1 += h3*s3 + vpaddq $H2,$D2,$D2 # d2 += h4*s3 + + vpmuludq $H3,$S4,$H3 # h3*s4 + vpmuludq $H4,$S4,$H4 # h4*s4 + vpaddq $H3,$D2,$H2 # h2 = d2 + h3*r4 + vpaddq $H4,$D3,$H3 # h3 = d3 + h4*r4 + vpmuludq `32*7+4-0x90`(%rax),$H0,$H4 # h0*r4 + vpmuludq $H1,$S4,$H0 # h1*s4 + vmovdqa 64(%rcx),$MASK # .Lmask26 + vpaddq $H4,$D4,$H4 # h4 = d4 + h0*r4 + vpaddq $H0,$D0,$H0 # h0 = d0 + h1*s4 + + ################################################################ + # horizontal addition + + vpsrldq \$8,$D1,$T1 + vpsrldq \$8,$H2,$T2 + vpsrldq \$8,$H3,$T3 + vpsrldq \$8,$H4,$T4 + vpsrldq \$8,$H0,$T0 + vpaddq $T1,$D1,$D1 + vpaddq $T2,$H2,$H2 + vpaddq $T3,$H3,$H3 + vpaddq $T4,$H4,$H4 + vpaddq $T0,$H0,$H0 + + vpermq \$0x2,$H3,$T3 + vpermq \$0x2,$H4,$T4 + vpermq \$0x2,$H0,$T0 + vpermq \$0x2,$D1,$T1 + vpermq \$0x2,$H2,$T2 + vpaddq $T3,$H3,$H3 + vpaddq $T4,$H4,$H4 + vpaddq $T0,$H0,$H0 + vpaddq $T1,$D1,$D1 + vpaddq $T2,$H2,$H2 + + ################################################################ + # lazy reduction + + vpsrlq \$26,$H3,$D3 + vpand $MASK,$H3,$H3 + vpaddq $D3,$H4,$H4 # h3 -> h4 + + vpsrlq \$26,$H0,$D0 + vpand $MASK,$H0,$H0 + vpaddq $D0,$D1,$H1 # h0 -> h1 + + vpsrlq \$26,$H4,$D4 + vpand $MASK,$H4,$H4 + + vpsrlq \$26,$H1,$D1 + vpand $MASK,$H1,$H1 + vpaddq $D1,$H2,$H2 # h1 -> h2 + + vpaddq $D4,$H0,$H0 + vpsllq \$2,$D4,$D4 + vpaddq $D4,$H0,$H0 # h4 -> h0 + + vpsrlq \$26,$H2,$D2 + vpand $MASK,$H2,$H2 + vpaddq $D2,$H3,$H3 # h2 -> h3 + + vpsrlq \$26,$H0,$D0 + vpand $MASK,$H0,$H0 + vpaddq $D0,$H1,$H1 # h0 -> h1 + + vpsrlq \$26,$H3,$D3 + vpand $MASK,$H3,$H3 + vpaddq $D3,$H4,$H4 # h3 -> h4 + + vmovd %x#$H0,`4*0-48-64`($ctx)# save partially reduced + vmovd %x#$H1,`4*1-48-64`($ctx) + vmovd %x#$H2,`4*2-48-64`($ctx) + vmovd %x#$H3,`4*3-48-64`($ctx) + vmovd %x#$H4,`4*4-48-64`($ctx) +___ +$code.=<<___ if ($win64); + vmovdqa 0x50(%r11),%xmm6 + vmovdqa 0x60(%r11),%xmm7 + vmovdqa 0x70(%r11),%xmm8 + vmovdqa 0x80(%r11),%xmm9 + vmovdqa 0x90(%r11),%xmm10 + vmovdqa 0xa0(%r11),%xmm11 + vmovdqa 0xb0(%r11),%xmm12 + vmovdqa 0xc0(%r11),%xmm13 + vmovdqa 0xd0(%r11),%xmm14 + vmovdqa 0xe0(%r11),%xmm15 + lea 0xf8(%r11),%rsp +.Ldo_avx2_epilogue: +___ +$code.=<<___ if (!$win64); + lea 8(%r11),%rsp +.cfi_def_cfa %rsp,8 +___ +$code.=<<___; + vzeroupper + ret +.cfi_endproc +.size poly1305_blocks_avx2,.-poly1305_blocks_avx2 +___ +####################################################################### +if ($avx>2 && $flavour !~ /kernel/) { +# On entry we have input length divisible by 64. But since inner loop +# processes 128 bytes per iteration, cases when length is not divisible +# by 128 are handled by passing tail 64 bytes to .Ltail_avx2. For this +# reason stack layout is kept identical to poly1305_blocks_avx2. If not +# for this tail, we wouldn't have to even allocate stack frame... + +my ($R0,$R1,$R2,$R3,$R4, $S1,$S2,$S3,$S4) = map("%zmm$_",(16..24)); +my ($M0,$M1,$M2,$M3,$M4) = map("%zmm$_",(25..29)); +my $PADBIT="%zmm30"; + +map(s/%y/%z/,($T4,$T0,$T1,$T2,$T3)); # switch to %zmm domain +map(s/%y/%z/,($D0,$D1,$D2,$D3,$D4)); +map(s/%y/%z/,($H0,$H1,$H2,$H3,$H4)); +map(s/%y/%z/,($MASK)); + +$code.=<<___; +.type poly1305_blocks_avx512,\@function,4 +.align 32 +poly1305_blocks_avx512: +.cfi_startproc +.Lblocks_avx512: + mov \$15,%eax + kmovw %eax,%k2 +___ +$code.=<<___ if (!$win64); + lea -8(%rsp),%r11 +.cfi_def_cfa %r11,16 + sub \$0x128,%rsp +___ +$code.=<<___ if ($win64); + lea -0xf8(%rsp),%r11 + sub \$0x1c8,%rsp + vmovdqa %xmm6,0x50(%r11) + vmovdqa %xmm7,0x60(%r11) + vmovdqa %xmm8,0x70(%r11) + vmovdqa %xmm9,0x80(%r11) + vmovdqa %xmm10,0x90(%r11) + vmovdqa %xmm11,0xa0(%r11) + vmovdqa %xmm12,0xb0(%r11) + vmovdqa %xmm13,0xc0(%r11) + vmovdqa %xmm14,0xd0(%r11) + vmovdqa %xmm15,0xe0(%r11) +.Ldo_avx512_body: +___ +$code.=<<___; + lea .Lconst(%rip),%rcx + lea 48+64($ctx),$ctx # size optimization + vmovdqa 96(%rcx),%y#$T2 # .Lpermd_avx2 + + # expand pre-calculated table + vmovdqu `16*0-64`($ctx),%x#$D0 # will become expanded ${R0} + and \$-512,%rsp + vmovdqu `16*1-64`($ctx),%x#$D1 # will become ... ${R1} + mov \$0x20,%rax + vmovdqu `16*2-64`($ctx),%x#$T0 # ... ${S1} + vmovdqu `16*3-64`($ctx),%x#$D2 # ... ${R2} + vmovdqu `16*4-64`($ctx),%x#$T1 # ... ${S2} + vmovdqu `16*5-64`($ctx),%x#$D3 # ... ${R3} + vmovdqu `16*6-64`($ctx),%x#$T3 # ... ${S3} + vmovdqu `16*7-64`($ctx),%x#$D4 # ... ${R4} + vmovdqu `16*8-64`($ctx),%x#$T4 # ... ${S4} + vpermd $D0,$T2,$R0 # 00003412 -> 14243444 + vpbroadcastq 64(%rcx),$MASK # .Lmask26 + vpermd $D1,$T2,$R1 + vpermd $T0,$T2,$S1 + vpermd $D2,$T2,$R2 + vmovdqa64 $R0,0x00(%rsp){%k2} # save in case $len%128 != 0 + vpsrlq \$32,$R0,$T0 # 14243444 -> 01020304 + vpermd $T1,$T2,$S2 + vmovdqu64 $R1,0x00(%rsp,%rax){%k2} + vpsrlq \$32,$R1,$T1 + vpermd $D3,$T2,$R3 + vmovdqa64 $S1,0x40(%rsp){%k2} + vpermd $T3,$T2,$S3 + vpermd $D4,$T2,$R4 + vmovdqu64 $R2,0x40(%rsp,%rax){%k2} + vpermd $T4,$T2,$S4 + vmovdqa64 $S2,0x80(%rsp){%k2} + vmovdqu64 $R3,0x80(%rsp,%rax){%k2} + vmovdqa64 $S3,0xc0(%rsp){%k2} + vmovdqu64 $R4,0xc0(%rsp,%rax){%k2} + vmovdqa64 $S4,0x100(%rsp){%k2} + + ################################################################ + # calculate 5th through 8th powers of the key + # + # d0 = r0'*r0 + r1'*5*r4 + r2'*5*r3 + r3'*5*r2 + r4'*5*r1 + # d1 = r0'*r1 + r1'*r0 + r2'*5*r4 + r3'*5*r3 + r4'*5*r2 + # d2 = r0'*r2 + r1'*r1 + r2'*r0 + r3'*5*r4 + r4'*5*r3 + # d3 = r0'*r3 + r1'*r2 + r2'*r1 + r3'*r0 + r4'*5*r4 + # d4 = r0'*r4 + r1'*r3 + r2'*r2 + r3'*r1 + r4'*r0 + + vpmuludq $T0,$R0,$D0 # d0 = r0'*r0 + vpmuludq $T0,$R1,$D1 # d1 = r0'*r1 + vpmuludq $T0,$R2,$D2 # d2 = r0'*r2 + vpmuludq $T0,$R3,$D3 # d3 = r0'*r3 + vpmuludq $T0,$R4,$D4 # d4 = r0'*r4 + vpsrlq \$32,$R2,$T2 + + vpmuludq $T1,$S4,$M0 + vpmuludq $T1,$R0,$M1 + vpmuludq $T1,$R1,$M2 + vpmuludq $T1,$R2,$M3 + vpmuludq $T1,$R3,$M4 + vpsrlq \$32,$R3,$T3 + vpaddq $M0,$D0,$D0 # d0 += r1'*5*r4 + vpaddq $M1,$D1,$D1 # d1 += r1'*r0 + vpaddq $M2,$D2,$D2 # d2 += r1'*r1 + vpaddq $M3,$D3,$D3 # d3 += r1'*r2 + vpaddq $M4,$D4,$D4 # d4 += r1'*r3 + + vpmuludq $T2,$S3,$M0 + vpmuludq $T2,$S4,$M1 + vpmuludq $T2,$R1,$M3 + vpmuludq $T2,$R2,$M4 + vpmuludq $T2,$R0,$M2 + vpsrlq \$32,$R4,$T4 + vpaddq $M0,$D0,$D0 # d0 += r2'*5*r3 + vpaddq $M1,$D1,$D1 # d1 += r2'*5*r4 + vpaddq $M3,$D3,$D3 # d3 += r2'*r1 + vpaddq $M4,$D4,$D4 # d4 += r2'*r2 + vpaddq $M2,$D2,$D2 # d2 += r2'*r0 + + vpmuludq $T3,$S2,$M0 + vpmuludq $T3,$R0,$M3 + vpmuludq $T3,$R1,$M4 + vpmuludq $T3,$S3,$M1 + vpmuludq $T3,$S4,$M2 + vpaddq $M0,$D0,$D0 # d0 += r3'*5*r2 + vpaddq $M3,$D3,$D3 # d3 += r3'*r0 + vpaddq $M4,$D4,$D4 # d4 += r3'*r1 + vpaddq $M1,$D1,$D1 # d1 += r3'*5*r3 + vpaddq $M2,$D2,$D2 # d2 += r3'*5*r4 + + vpmuludq $T4,$S4,$M3 + vpmuludq $T4,$R0,$M4 + vpmuludq $T4,$S1,$M0 + vpmuludq $T4,$S2,$M1 + vpmuludq $T4,$S3,$M2 + vpaddq $M3,$D3,$D3 # d3 += r2'*5*r4 + vpaddq $M4,$D4,$D4 # d4 += r2'*r0 + vpaddq $M0,$D0,$D0 # d0 += r2'*5*r1 + vpaddq $M1,$D1,$D1 # d1 += r2'*5*r2 + vpaddq $M2,$D2,$D2 # d2 += r2'*5*r3 + + ################################################################ + # load input + vmovdqu64 16*0($inp),%z#$T3 + vmovdqu64 16*4($inp),%z#$T4 + lea 16*8($inp),$inp + + ################################################################ + # lazy reduction + + vpsrlq \$26,$D3,$M3 + vpandq $MASK,$D3,$D3 + vpaddq $M3,$D4,$D4 # d3 -> d4 + + vpsrlq \$26,$D0,$M0 + vpandq $MASK,$D0,$D0 + vpaddq $M0,$D1,$D1 # d0 -> d1 + + vpsrlq \$26,$D4,$M4 + vpandq $MASK,$D4,$D4 + + vpsrlq \$26,$D1,$M1 + vpandq $MASK,$D1,$D1 + vpaddq $M1,$D2,$D2 # d1 -> d2 + + vpaddq $M4,$D0,$D0 + vpsllq \$2,$M4,$M4 + vpaddq $M4,$D0,$D0 # d4 -> d0 + + vpsrlq \$26,$D2,$M2 + vpandq $MASK,$D2,$D2 + vpaddq $M2,$D3,$D3 # d2 -> d3 + + vpsrlq \$26,$D0,$M0 + vpandq $MASK,$D0,$D0 + vpaddq $M0,$D1,$D1 # d0 -> d1 + + vpsrlq \$26,$D3,$M3 + vpandq $MASK,$D3,$D3 + vpaddq $M3,$D4,$D4 # d3 -> d4 + + ################################################################ + # at this point we have 14243444 in $R0-$S4 and 05060708 in + # $D0-$D4, ... + + vpunpcklqdq $T4,$T3,$T0 # transpose input + vpunpckhqdq $T4,$T3,$T4 + + # ... since input 64-bit lanes are ordered as 73625140, we could + # "vperm" it to 76543210 (here and in each loop iteration), *or* + # we could just flow along, hence the goal for $R0-$S4 is + # 1858286838784888 ... + + vmovdqa32 128(%rcx),$M0 # .Lpermd_avx512: + mov \$0x7777,%eax + kmovw %eax,%k1 + + vpermd $R0,$M0,$R0 # 14243444 -> 1---2---3---4--- + vpermd $R1,$M0,$R1 + vpermd $R2,$M0,$R2 + vpermd $R3,$M0,$R3 + vpermd $R4,$M0,$R4 + + vpermd $D0,$M0,${R0}{%k1} # 05060708 -> 1858286838784888 + vpermd $D1,$M0,${R1}{%k1} + vpermd $D2,$M0,${R2}{%k1} + vpermd $D3,$M0,${R3}{%k1} + vpermd $D4,$M0,${R4}{%k1} + + vpslld \$2,$R1,$S1 # *5 + vpslld \$2,$R2,$S2 + vpslld \$2,$R3,$S3 + vpslld \$2,$R4,$S4 + vpaddd $R1,$S1,$S1 + vpaddd $R2,$S2,$S2 + vpaddd $R3,$S3,$S3 + vpaddd $R4,$S4,$S4 + + vpbroadcastq 32(%rcx),$PADBIT # .L129 + + vpsrlq \$52,$T0,$T2 # splat input + vpsllq \$12,$T4,$T3 + vporq $T3,$T2,$T2 + vpsrlq \$26,$T0,$T1 + vpsrlq \$14,$T4,$T3 + vpsrlq \$40,$T4,$T4 # 4 + vpandq $MASK,$T2,$T2 # 2 + vpandq $MASK,$T0,$T0 # 0 + #vpandq $MASK,$T1,$T1 # 1 + #vpandq $MASK,$T3,$T3 # 3 + #vporq $PADBIT,$T4,$T4 # padbit, yes, always + + vpaddq $H2,$T2,$H2 # accumulate input + sub \$192,$len + jbe .Ltail_avx512 + jmp .Loop_avx512 + +.align 32 +.Loop_avx512: + ################################################################ + # ((inp[0]*r^8+inp[ 8])*r^8+inp[16])*r^8 + # ((inp[1]*r^8+inp[ 9])*r^8+inp[17])*r^7 + # ((inp[2]*r^8+inp[10])*r^8+inp[18])*r^6 + # ((inp[3]*r^8+inp[11])*r^8+inp[19])*r^5 + # ((inp[4]*r^8+inp[12])*r^8+inp[20])*r^4 + # ((inp[5]*r^8+inp[13])*r^8+inp[21])*r^3 + # ((inp[6]*r^8+inp[14])*r^8+inp[22])*r^2 + # ((inp[7]*r^8+inp[15])*r^8+inp[23])*r^1 + # \________/\___________/ + ################################################################ + #vpaddq $H2,$T2,$H2 # accumulate input + + # d4 = h4*r0 + h3*r1 + h2*r2 + h1*r3 + h0*r4 + # d3 = h3*r0 + h2*r1 + h1*r2 + h0*r3 + h4*5*r4 + # d2 = h2*r0 + h1*r1 + h0*r2 + h4*5*r3 + h3*5*r4 + # d1 = h1*r0 + h0*r1 + h4*5*r2 + h3*5*r3 + h2*5*r4 + # d0 = h0*r0 + h4*5*r1 + h3*5*r2 + h2*5*r3 + h1*5*r4 + # + # however, as h2 is "chronologically" first one available pull + # corresponding operations up, so it's + # + # d3 = h2*r1 + h0*r3 + h1*r2 + h3*r0 + h4*5*r4 + # d4 = h2*r2 + h0*r4 + h1*r3 + h3*r1 + h4*r0 + # d0 = h2*5*r3 + h0*r0 + h1*5*r4 + h3*5*r2 + h4*5*r1 + # d1 = h2*5*r4 + h0*r1 + h1*r0 + h3*5*r3 + h4*5*r2 + # d2 = h2*r0 + h0*r2 + h1*r1 + h3*5*r4 + h4*5*r3 + + vpmuludq $H2,$R1,$D3 # d3 = h2*r1 + vpaddq $H0,$T0,$H0 + vpmuludq $H2,$R2,$D4 # d4 = h2*r2 + vpandq $MASK,$T1,$T1 # 1 + vpmuludq $H2,$S3,$D0 # d0 = h2*s3 + vpandq $MASK,$T3,$T3 # 3 + vpmuludq $H2,$S4,$D1 # d1 = h2*s4 + vporq $PADBIT,$T4,$T4 # padbit, yes, always + vpmuludq $H2,$R0,$D2 # d2 = h2*r0 + vpaddq $H1,$T1,$H1 # accumulate input + vpaddq $H3,$T3,$H3 + vpaddq $H4,$T4,$H4 + + vmovdqu64 16*0($inp),$T3 # load input + vmovdqu64 16*4($inp),$T4 + lea 16*8($inp),$inp + vpmuludq $H0,$R3,$M3 + vpmuludq $H0,$R4,$M4 + vpmuludq $H0,$R0,$M0 + vpmuludq $H0,$R1,$M1 + vpaddq $M3,$D3,$D3 # d3 += h0*r3 + vpaddq $M4,$D4,$D4 # d4 += h0*r4 + vpaddq $M0,$D0,$D0 # d0 += h0*r0 + vpaddq $M1,$D1,$D1 # d1 += h0*r1 + + vpmuludq $H1,$R2,$M3 + vpmuludq $H1,$R3,$M4 + vpmuludq $H1,$S4,$M0 + vpmuludq $H0,$R2,$M2 + vpaddq $M3,$D3,$D3 # d3 += h1*r2 + vpaddq $M4,$D4,$D4 # d4 += h1*r3 + vpaddq $M0,$D0,$D0 # d0 += h1*s4 + vpaddq $M2,$D2,$D2 # d2 += h0*r2 + + vpunpcklqdq $T4,$T3,$T0 # transpose input + vpunpckhqdq $T4,$T3,$T4 + + vpmuludq $H3,$R0,$M3 + vpmuludq $H3,$R1,$M4 + vpmuludq $H1,$R0,$M1 + vpmuludq $H1,$R1,$M2 + vpaddq $M3,$D3,$D3 # d3 += h3*r0 + vpaddq $M4,$D4,$D4 # d4 += h3*r1 + vpaddq $M1,$D1,$D1 # d1 += h1*r0 + vpaddq $M2,$D2,$D2 # d2 += h1*r1 + + vpmuludq $H4,$S4,$M3 + vpmuludq $H4,$R0,$M4 + vpmuludq $H3,$S2,$M0 + vpmuludq $H3,$S3,$M1 + vpaddq $M3,$D3,$D3 # d3 += h4*s4 + vpmuludq $H3,$S4,$M2 + vpaddq $M4,$D4,$D4 # d4 += h4*r0 + vpaddq $M0,$D0,$D0 # d0 += h3*s2 + vpaddq $M1,$D1,$D1 # d1 += h3*s3 + vpaddq $M2,$D2,$D2 # d2 += h3*s4 + + vpmuludq $H4,$S1,$M0 + vpmuludq $H4,$S2,$M1 + vpmuludq $H4,$S3,$M2 + vpaddq $M0,$D0,$H0 # h0 = d0 + h4*s1 + vpaddq $M1,$D1,$H1 # h1 = d2 + h4*s2 + vpaddq $M2,$D2,$H2 # h2 = d3 + h4*s3 + + ################################################################ + # lazy reduction (interleaved with input splat) + + vpsrlq \$52,$T0,$T2 # splat input + vpsllq \$12,$T4,$T3 + + vpsrlq \$26,$D3,$H3 + vpandq $MASK,$D3,$D3 + vpaddq $H3,$D4,$H4 # h3 -> h4 + + vporq $T3,$T2,$T2 + + vpsrlq \$26,$H0,$D0 + vpandq $MASK,$H0,$H0 + vpaddq $D0,$H1,$H1 # h0 -> h1 + + vpandq $MASK,$T2,$T2 # 2 + + vpsrlq \$26,$H4,$D4 + vpandq $MASK,$H4,$H4 + + vpsrlq \$26,$H1,$D1 + vpandq $MASK,$H1,$H1 + vpaddq $D1,$H2,$H2 # h1 -> h2 + + vpaddq $D4,$H0,$H0 + vpsllq \$2,$D4,$D4 + vpaddq $D4,$H0,$H0 # h4 -> h0 + + vpaddq $T2,$H2,$H2 # modulo-scheduled + vpsrlq \$26,$T0,$T1 + + vpsrlq \$26,$H2,$D2 + vpandq $MASK,$H2,$H2 + vpaddq $D2,$D3,$H3 # h2 -> h3 + + vpsrlq \$14,$T4,$T3 + + vpsrlq \$26,$H0,$D0 + vpandq $MASK,$H0,$H0 + vpaddq $D0,$H1,$H1 # h0 -> h1 + + vpsrlq \$40,$T4,$T4 # 4 + + vpsrlq \$26,$H3,$D3 + vpandq $MASK,$H3,$H3 + vpaddq $D3,$H4,$H4 # h3 -> h4 + + vpandq $MASK,$T0,$T0 # 0 + #vpandq $MASK,$T1,$T1 # 1 + #vpandq $MASK,$T3,$T3 # 3 + #vporq $PADBIT,$T4,$T4 # padbit, yes, always + + sub \$128,$len + ja .Loop_avx512 + +.Ltail_avx512: + ################################################################ + # while above multiplications were by r^8 in all lanes, in last + # iteration we multiply least significant lane by r^8 and most + # significant one by r, that's why table gets shifted... + + vpsrlq \$32,$R0,$R0 # 0105020603070408 + vpsrlq \$32,$R1,$R1 + vpsrlq \$32,$R2,$R2 + vpsrlq \$32,$S3,$S3 + vpsrlq \$32,$S4,$S4 + vpsrlq \$32,$R3,$R3 + vpsrlq \$32,$R4,$R4 + vpsrlq \$32,$S1,$S1 + vpsrlq \$32,$S2,$S2 + + ################################################################ + # load either next or last 64 byte of input + lea ($inp,$len),$inp + + #vpaddq $H2,$T2,$H2 # accumulate input + vpaddq $H0,$T0,$H0 + + vpmuludq $H2,$R1,$D3 # d3 = h2*r1 + vpmuludq $H2,$R2,$D4 # d4 = h2*r2 + vpmuludq $H2,$S3,$D0 # d0 = h2*s3 + vpandq $MASK,$T1,$T1 # 1 + vpmuludq $H2,$S4,$D1 # d1 = h2*s4 + vpandq $MASK,$T3,$T3 # 3 + vpmuludq $H2,$R0,$D2 # d2 = h2*r0 + vporq $PADBIT,$T4,$T4 # padbit, yes, always + vpaddq $H1,$T1,$H1 # accumulate input + vpaddq $H3,$T3,$H3 + vpaddq $H4,$T4,$H4 + + vmovdqu 16*0($inp),%x#$T0 + vpmuludq $H0,$R3,$M3 + vpmuludq $H0,$R4,$M4 + vpmuludq $H0,$R0,$M0 + vpmuludq $H0,$R1,$M1 + vpaddq $M3,$D3,$D3 # d3 += h0*r3 + vpaddq $M4,$D4,$D4 # d4 += h0*r4 + vpaddq $M0,$D0,$D0 # d0 += h0*r0 + vpaddq $M1,$D1,$D1 # d1 += h0*r1 + + vmovdqu 16*1($inp),%x#$T1 + vpmuludq $H1,$R2,$M3 + vpmuludq $H1,$R3,$M4 + vpmuludq $H1,$S4,$M0 + vpmuludq $H0,$R2,$M2 + vpaddq $M3,$D3,$D3 # d3 += h1*r2 + vpaddq $M4,$D4,$D4 # d4 += h1*r3 + vpaddq $M0,$D0,$D0 # d0 += h1*s4 + vpaddq $M2,$D2,$D2 # d2 += h0*r2 + + vinserti128 \$1,16*2($inp),%y#$T0,%y#$T0 + vpmuludq $H3,$R0,$M3 + vpmuludq $H3,$R1,$M4 + vpmuludq $H1,$R0,$M1 + vpmuludq $H1,$R1,$M2 + vpaddq $M3,$D3,$D3 # d3 += h3*r0 + vpaddq $M4,$D4,$D4 # d4 += h3*r1 + vpaddq $M1,$D1,$D1 # d1 += h1*r0 + vpaddq $M2,$D2,$D2 # d2 += h1*r1 + + vinserti128 \$1,16*3($inp),%y#$T1,%y#$T1 + vpmuludq $H4,$S4,$M3 + vpmuludq $H4,$R0,$M4 + vpmuludq $H3,$S2,$M0 + vpmuludq $H3,$S3,$M1 + vpmuludq $H3,$S4,$M2 + vpaddq $M3,$D3,$H3 # h3 = d3 + h4*s4 + vpaddq $M4,$D4,$D4 # d4 += h4*r0 + vpaddq $M0,$D0,$D0 # d0 += h3*s2 + vpaddq $M1,$D1,$D1 # d1 += h3*s3 + vpaddq $M2,$D2,$D2 # d2 += h3*s4 + + vpmuludq $H4,$S1,$M0 + vpmuludq $H4,$S2,$M1 + vpmuludq $H4,$S3,$M2 + vpaddq $M0,$D0,$H0 # h0 = d0 + h4*s1 + vpaddq $M1,$D1,$H1 # h1 = d2 + h4*s2 + vpaddq $M2,$D2,$H2 # h2 = d3 + h4*s3 + + ################################################################ + # horizontal addition + + mov \$1,%eax + vpermq \$0xb1,$H3,$D3 + vpermq \$0xb1,$D4,$H4 + vpermq \$0xb1,$H0,$D0 + vpermq \$0xb1,$H1,$D1 + vpermq \$0xb1,$H2,$D2 + vpaddq $D3,$H3,$H3 + vpaddq $D4,$H4,$H4 + vpaddq $D0,$H0,$H0 + vpaddq $D1,$H1,$H1 + vpaddq $D2,$H2,$H2 + + kmovw %eax,%k3 + vpermq \$0x2,$H3,$D3 + vpermq \$0x2,$H4,$D4 + vpermq \$0x2,$H0,$D0 + vpermq \$0x2,$H1,$D1 + vpermq \$0x2,$H2,$D2 + vpaddq $D3,$H3,$H3 + vpaddq $D4,$H4,$H4 + vpaddq $D0,$H0,$H0 + vpaddq $D1,$H1,$H1 + vpaddq $D2,$H2,$H2 + + vextracti64x4 \$0x1,$H3,%y#$D3 + vextracti64x4 \$0x1,$H4,%y#$D4 + vextracti64x4 \$0x1,$H0,%y#$D0 + vextracti64x4 \$0x1,$H1,%y#$D1 + vextracti64x4 \$0x1,$H2,%y#$D2 + vpaddq $D3,$H3,${H3}{%k3}{z} # keep single qword in case + vpaddq $D4,$H4,${H4}{%k3}{z} # it's passed to .Ltail_avx2 + vpaddq $D0,$H0,${H0}{%k3}{z} + vpaddq $D1,$H1,${H1}{%k3}{z} + vpaddq $D2,$H2,${H2}{%k3}{z} +___ +map(s/%z/%y/,($T0,$T1,$T2,$T3,$T4, $PADBIT)); +map(s/%z/%y/,($H0,$H1,$H2,$H3,$H4, $D0,$D1,$D2,$D3,$D4, $MASK)); +$code.=<<___; + ################################################################ + # lazy reduction (interleaved with input splat) + + vpsrlq \$26,$H3,$D3 + vpand $MASK,$H3,$H3 + vpsrldq \$6,$T0,$T2 # splat input + vpsrldq \$6,$T1,$T3 + vpunpckhqdq $T1,$T0,$T4 # 4 + vpaddq $D3,$H4,$H4 # h3 -> h4 + + vpsrlq \$26,$H0,$D0 + vpand $MASK,$H0,$H0 + vpunpcklqdq $T3,$T2,$T2 # 2:3 + vpunpcklqdq $T1,$T0,$T0 # 0:1 + vpaddq $D0,$H1,$H1 # h0 -> h1 + + vpsrlq \$26,$H4,$D4 + vpand $MASK,$H4,$H4 + + vpsrlq \$26,$H1,$D1 + vpand $MASK,$H1,$H1 + vpsrlq \$30,$T2,$T3 + vpsrlq \$4,$T2,$T2 + vpaddq $D1,$H2,$H2 # h1 -> h2 + + vpaddq $D4,$H0,$H0 + vpsllq \$2,$D4,$D4 + vpsrlq \$26,$T0,$T1 + vpsrlq \$40,$T4,$T4 # 4 + vpaddq $D4,$H0,$H0 # h4 -> h0 + + vpsrlq \$26,$H2,$D2 + vpand $MASK,$H2,$H2 + vpand $MASK,$T2,$T2 # 2 + vpand $MASK,$T0,$T0 # 0 + vpaddq $D2,$H3,$H3 # h2 -> h3 + + vpsrlq \$26,$H0,$D0 + vpand $MASK,$H0,$H0 + vpaddq $H2,$T2,$H2 # accumulate input for .Ltail_avx2 + vpand $MASK,$T1,$T1 # 1 + vpaddq $D0,$H1,$H1 # h0 -> h1 + + vpsrlq \$26,$H3,$D3 + vpand $MASK,$H3,$H3 + vpand $MASK,$T3,$T3 # 3 + vpor 32(%rcx),$T4,$T4 # padbit, yes, always + vpaddq $D3,$H4,$H4 # h3 -> h4 + + lea 0x90(%rsp),%rax # size optimization for .Ltail_avx2 + add \$64,$len + jnz .Ltail_avx2 + + vpsubq $T2,$H2,$H2 # undo input accumulation + vmovd %x#$H0,`4*0-48-64`($ctx)# save partially reduced + vmovd %x#$H1,`4*1-48-64`($ctx) + vmovd %x#$H2,`4*2-48-64`($ctx) + vmovd %x#$H3,`4*3-48-64`($ctx) + vmovd %x#$H4,`4*4-48-64`($ctx) + vzeroall +___ +$code.=<<___ if ($win64); + movdqa 0x50(%r11),%xmm6 + movdqa 0x60(%r11),%xmm7 + movdqa 0x70(%r11),%xmm8 + movdqa 0x80(%r11),%xmm9 + movdqa 0x90(%r11),%xmm10 + movdqa 0xa0(%r11),%xmm11 + movdqa 0xb0(%r11),%xmm12 + movdqa 0xc0(%r11),%xmm13 + movdqa 0xd0(%r11),%xmm14 + movdqa 0xe0(%r11),%xmm15 + lea 0xf8(%r11),%rsp +.Ldo_avx512_epilogue: +___ +$code.=<<___ if (!$win64); + lea 8(%r11),%rsp +.cfi_def_cfa %rsp,8 +___ +$code.=<<___; + ret +.cfi_endproc +.size poly1305_blocks_avx512,.-poly1305_blocks_avx512 +___ +} +if ($avx>3) { +######################################################################## +# VPMADD52 version using 2^44 radix. +# +# One can argue that base 2^52 would be more natural. Well, even though +# some operations would be more natural, one has to recognize couple of +# things. Base 2^52 doesn't provide advantage over base 2^44 if you look +# at amount of multiply-n-accumulate operations. Secondly, it makes it +# impossible to pre-compute multiples of 5 [referred to as s[]/sN in +# reference implementations], which means that more such operations +# would have to be performed in inner loop, which in turn makes critical +# path longer. In other words, even though base 2^44 reduction might +# look less elegant, overall critical path is actually shorter... + +######################################################################## +# Layout of opaque area is following. +# +# unsigned __int64 h[3]; # current hash value base 2^44 +# unsigned __int64 s[2]; # key value*20 base 2^44 +# unsigned __int64 r[3]; # key value base 2^44 +# struct { unsigned __int64 r^1, r^3, r^2, r^4; } R[4]; +# # r^n positions reflect +# # placement in register, not +# # memory, R[3] is R[1]*20 + +$code.=<<___; +.type poly1305_init_base2_44,\@function,3 +.align 32 +poly1305_init_base2_44: + xor %rax,%rax + mov %rax,0($ctx) # initialize hash value + mov %rax,8($ctx) + mov %rax,16($ctx) + + cmp \$0,$inp + je .Lno_key_base2_44 + +.Linit_base2_44: + mov \$0x0ffffffc0fffffff,%rax + mov \$0x0ffffffc0ffffffc,%rcx + and 0($inp),%rax + mov \$0x00000fffffffffff,%r8 + and 8($inp),%rcx + mov \$0x00000fffffffffff,%r9 + and %rax,%r8 # base 2^64 -> base 2^44 + shrd \$44,%rcx,%rax + mov %r8,40($ctx) # r0 + and %r9,%rax + shr \$24,%rcx + mov %rax,48($ctx) # r1 + lea (%rax,%rax,4),%rax # *5 + mov %rcx,56($ctx) # r2 + shl \$2,%rax # magic <<2 + lea (%rcx,%rcx,4),%rcx # *5 + shl \$2,%rcx # magic <<2 + mov %rax,24($ctx) # s1 + mov %rcx,32($ctx) # s2 + movq \$-1,64($ctx) # write impossible value +___ + if ($flavour !~ /kernel/) { +$code.=<<___; + lea poly1305_blocks_vpmadd52(%rip),%r10 + lea poly1305_emit_base2_44(%rip),%r11 +___ +$code.=<<___ if ($flavour !~ /elf32/); + mov %r10,0(%rdx) + mov %r11,8(%rdx) +___ +$code.=<<___ if ($flavour =~ /elf32/); + mov %r10d,0(%rdx) + mov %r11d,4(%rdx) +___ + } +$code.=<<___; + mov \$1,%eax +.Lno_key_base2_44: + ret +.size poly1305_init_base2_44,.-poly1305_init_base2_44 +___ +{ +my ($h0,$h1,$h2, $d1,$d2,$d3, $r0,$r1,$s2) = map("%r$_",("dx",8..15)); +$code.=<<___; +.type poly1305_blocks_base2_44,\@function,4 +.align 32 +poly1305_blocks_base2_44: +.cfi_startproc +.Lblocks_base2_44: + push %rbx +.cfi_push %rbx + push %rbp +.cfi_push %rbp + push %r12 +.cfi_push %r12 + push %r13 +.cfi_push %r13 + push %r14 +.cfi_push %r14 + push %r15 +.cfi_push %r15 + + and \$-16,$len + add $inp,$len # end of buffer + shl \$40,$padbit + push $len +.cfi_adjust_cfa_offset 8 +.Lblocks_base2_44_body: + + mov 0($ctx),$h0 # load hash value + mov 8($ctx),$h1 + mov 16($ctx),$h2 + + mov 40($ctx),$r0 # load key + mov 48($ctx),$r1 + mov 32($ctx),$s2 + mov \$0xfffff00000000000,%rax + jmp .Loop_base2_44 + ud2 + +.align 32 +.Loop_base2_44: + mov 0($inp),$d2 # load input + mov 8($inp),$d3 + lea 16($inp),$inp + + andn $d2,%rax,$d1 # base 2^64 -> base 2^44 + shrd \$44,$d3,$d2 + add $d1,$h0 # accumulate input + shr \$24,$d3 + andn $d2,%rax,$d2 + add $padbit,$h2 + + add $d2,$h1 + add $d3,$h2 + + #mov $h0,%rdx # h0 is %rdx + mulx $r0,$d1,%rbx # h0*r0 + mulx $r1,$d2,%rcx # h0*r1 + mulx 56($ctx),$d3,%rbp # h0*r2 + + mov $h1,%rdx + mulx $s2,%rax,$h1 # h1*s2 + add %rax,$d1 + adc %rbx,$h1 + mulx $r0,%rax,%rbx # h1*r0 + add %rax,$d2 + adc %rbx,%rcx + mulx $r1,%rax,%rbx # h1*r1 + mov $h2,%rdx + add %rax,$d3 + adc %rbx,%rbp + + mulx 24($ctx),%rax,%rbx # h2*s1 + add %rax,$d1 + adc %rbx,$h1 + mulx $s2,%rax,$h2 # h2*s2 + add %rax,$d2 + adc %rcx,$h2 + mulx $r0,%rax,%rbx # h2*r0 + add %rax,$d3 + adc %rbx,%rbp + + mov \$0xfffff00000000000,%rax + andn $d1,%rax,$h0 + shrd \$44,$h1,$d1 + add $d1,$d2 + adc \$0,$h2 + andn $d2,%rax,$h1 + shrd \$44,$h2,$d2 + mov \$0x03ffffffffff,$h2 + add $d2,$d3 + adc \$0,%rbp + and $d3,$h2 + shrd \$42,%rbp,$d3 + + mov \$0x10000000000,$padbit + lea ($d3,$d3,4),$d3 # *=5 + add $d3,$h0 + + cmp 0(%rsp),$inp + jb .Loop_base2_44 + + mov $h0,0($ctx) # store hash value + mov $h1,8($ctx) + mov $h2,16($ctx) + + mov 8(%rsp),%r15 +.cfi_restore %r15 + mov 16(%rsp),%r14 +.cfi_restore %r14 + mov 24(%rsp),%r13 +.cfi_restore %r13 + mov 32(%rsp),%r12 +.cfi_restore %r12 + mov 40(%rsp),%rbp +.cfi_restore %rbp + mov 48(%rsp),%rbx +.cfi_restore %rbx + lea 56(%rsp),%rsp +.cfi_adjust_cfa_offset -56 +.Lblocks_base2_44_epilogue: + ret +.cfi_endproc +.size poly1305_blocks_base2_44,.-poly1305_blocks_base2_44 +___ +} +{ +my ($H0,$H1,$H2,$r2r1r0,$r1r0s2,$r0s2s1,$Dlo,$Dhi) = map("%ymm$_",(0..5,16,17)); +my ($T0,$inp_permd,$inp_shift,$PAD) = map("%ymm$_",(18..21)); +my ($reduc_mask,$reduc_rght,$reduc_left) = map("%ymm$_",(22..25)); +my ($T1,$T2,$T3) = map("%ymm$_",(26..28)); + +$code.=<<___; +.type poly1305_blocks_vpmadd52,\@function,4 +.align 32 +poly1305_blocks_vpmadd52: + and \$-16,$len + jz .Lno_data_vpmadd52 # too short + + mov 64($ctx),%r8 # peek on power of the key + + # if powers of the key are not calculated yet, process up to 3 + # blocks with scalar single-block subroutine above, otherwise + # ensure that input length is divisible by 2 blocks and pass + # the rest down to next subroutine... + + mov \$0x30,%r9 + mov \$0x10,%r10 + cmp \$0x40,$len # is input long + cmovae %r10,%r9 + test %r8,%r8 # is power value impossible? + cmovns %r10,%r9 + + and $len,%r9 # is input of favourable length? + jz .Lblocks_vpmadd52_4x + + sub %r9,$len + cmovz %r9,$len + jz .Lblocks_base2_44 + + ######################################### + mov \$7,%r10d + mov \$1,%r11d + shl \$40,$padbit + kmovw %r10d,%k7 + lea .L2_44_inp_permd(%rip),%r10 + kmovw %r11d,%k1 + + vmovq $padbit,%x#$PAD + shr \$40,$padbit # restore original value + vmovdqa64 0(%r10),$inp_permd # .L2_44_inp_permd + vmovdqa64 32(%r10),$inp_shift # .L2_44_inp_shift + vpermq \$0xcf,$PAD,$PAD + vmovdqa64 64(%r10),$reduc_mask # .L2_44_mask + + vmovdqu64 0($ctx),${Dlo}{%k7}{z} # load hash value + vmovdqu64 40($ctx),${r2r1r0}{%k7}{z} # load keys + vmovdqu64 32($ctx),${r1r0s2}{%k7}{z} + vmovdqu64 24($ctx),${r0s2s1}{%k7}{z} + + vmovdqa64 96(%r10),$reduc_rght # .L2_44_shift_rgt + vmovdqa64 128(%r10),$reduc_left # .L2_44_shift_lft + + vmovdqu32 0($inp),%x#$T0 # load input as ----3210 + lea 16($inp),$inp + + vpermd $T0,$inp_permd,$T0 # ----3210 -> --322110 + vpsrlvq $inp_shift,$T0,$T0 + vpandq $reduc_mask,$T0,$T0 + vporq $PAD,$T0,$T0 + + vpaddq $T0,$Dlo,$Dlo # accumulate input + vpxord $T2,$T2,$T2 + vpxord $T3,$T3,$T3 + + vpermq \$0,$Dlo,${H0}{%k7}{z} # smash hash value + vpermq \$0b01010101,$Dlo,${H1}{%k7}{z} + vpermq \$0b10101010,$Dlo,${H2}{%k7}{z} + + vpxord $T0,$T0,$T0 + vpxord $T1,$T1,$T1 + vpmadd52luq $r2r1r0,$H0,$T2 + vpmadd52huq $r2r1r0,$H0,$T3 + + vpxord $Dlo,$Dlo,$Dlo + vpxord $Dhi,$Dhi,$Dhi + vpmadd52luq $r1r0s2,$H1,$T0 + vpmadd52huq $r1r0s2,$H1,$T1 + + vpmadd52luq $r0s2s1,$H2,$Dlo + vpmadd52huq $r0s2s1,$H2,$Dhi + + vpaddq $T0,$T2,$T2 + vpaddq $T1,$T3,$T3 + vpaddq $T2,$Dlo,$Dlo + vpaddq $T3,$Dhi,$Dhi + + vpsrlvq $reduc_rght,$Dlo,$T0 # 0 in topmost qword + vpsllvq $reduc_left,$Dhi,$Dhi # 0 in topmost qword + vpandq $reduc_mask,$Dlo,$Dlo + + vpaddq $T0,$Dhi,$Dhi + + vpermq \$0b10010011,$Dhi,$Dhi # 0 in lowest qword + + vpaddq $Dhi,$Dlo,$Dlo # note topmost qword :-) + + vpsrlvq $reduc_rght,$Dlo,$T0 # 0 in topmost word + vpandq $reduc_mask,$Dlo,$Dlo + + vpermq \$0b10010011,$T0,$T0 + + vpaddq $T0,$Dlo,$Dlo + + vpermq \$0b10010011,$Dlo,${T0}{%k1}{z} + + vpaddq $T0,$Dlo,$Dlo + vpsllq \$2,$T0,$T0 + + vpaddq $T0,$Dlo,$Dlo + + vmovdqu64 $Dlo,0($ctx){%k7} # store hash value + + jmp .Lblocks_vpmadd52_4x + +.Lno_data_vpmadd52: + ret +.size poly1305_blocks_vpmadd52,.-poly1305_blocks_vpmadd52 +___ +} +{ +######################################################################## +# As implied by its name 4x subroutine processes 4 blocks in parallel +# (but handles even 4*n+2 blocks lengths). It takes up to 4th key power +# and is handled in 256-bit %ymm registers. + +my ($H0,$H1,$H2,$R0,$R1,$R2,$S1,$S2) = map("%ymm$_",(0..5,16,17)); +my ($D0lo,$D0hi,$D1lo,$D1hi,$D2lo,$D2hi) = map("%ymm$_",(18..23)); +my ($T0,$T1,$T2,$T3,$T4,$tmp,$mask44,$PAD) = map("%ymm$_",(24..31)); + +$code.=<<___; +.type poly1305_blocks_vpmadd52_4x,\@function,4 +.align 32 +poly1305_blocks_vpmadd52_4x: + and \$-16,$len + jz .Lno_data_vpmadd52_4x # too short + + mov 64($ctx),%r8 # peek on power of the key + +.Lblocks_vpmadd52_4x: + shl \$40,$padbit + shr \$4,$len + vpbroadcastq $padbit,$PAD + + vmovdqa64 .Lx_mask44(%rip),$mask44 + mov \$5,%eax + kmovw %eax,%k1 # used in 2x path + + test %r8,%r8 # is power value impossible? + js .Linit_vpmadd52 # if it is, then init R[4] + + vmovq 0($ctx),%x#$H0 # load current hash value + vmovq 8($ctx),%x#$H1 + vmovq 16($ctx),%x#$H2 + + test \$3,$len # is length 4*n+2? + jnz .Lblocks_vpmadd52_2x_do + +.Lblocks_vpmadd52_4x_do: + vpbroadcastq 64($ctx),$R0 # load 4th power of the key + vpbroadcastq 96($ctx),$R1 + vpbroadcastq 128($ctx),$R2 + vpbroadcastq 160($ctx),$S1 + +.Lblocks_vpmadd52_4x_key_loaded: + vpsllq \$2,$R2,$S2 # S2 = R2*5*4 + vpaddq $R2,$S2,$S2 + vpsllq \$2,$S2,$S2 + + #test \$7,$len # is len 8*n? + #jz .Lblocks_vpmadd52_8x + + vmovdqu64 16*0($inp),$T2 # load data + vmovdqu64 16*2($inp),$T3 + lea 16*4($inp),$inp + + vpunpcklqdq $T3,$T2,$T1 # transpose data + vpunpckhqdq $T3,$T2,$T3 + + # at this point 64-bit lanes are ordered as 3-1-2-0 + + vpsrlq \$24,$T3,$T2 # splat the data + vporq $PAD,$T2,$T2 + vpaddq $T2,$H2,$H2 # accumulate input + vpandq $mask44,$T1,$T0 + vpsrlq \$44,$T1,$T1 + vpsllq \$20,$T3,$T3 + vporq $T3,$T1,$T1 + vpandq $mask44,$T1,$T1 + + sub \$4,$len + jz .Ltail_vpmadd52_4x + jmp .Loop_vpmadd52_4x + ud2 + +.align 32 +.Linit_vpmadd52: + vmovq 24($ctx),%x#$S1 # load key + vmovq 56($ctx),%x#$H2 + vmovq 32($ctx),%x#$S2 + vmovq 40($ctx),%x#$R0 + vmovq 48($ctx),%x#$R1 + + vmovdqa $R0,$H0 + vmovdqa $R1,$H1 + vmovdqa $H2,$R2 + + mov \$2,%eax + +.Lmul_init_vpmadd52: + vpxorq $D0lo,$D0lo,$D0lo + vpxorq $D0hi,$D0hi,$D0hi + vpxorq $D1lo,$D1lo,$D1lo + vpxorq $D1hi,$D1hi,$D1hi + vpxorq $D2lo,$D2lo,$D2lo + vpxorq $D2hi,$D2hi,$D2hi + vpmadd52luq $H2,$S1,$D0lo + vpxorq $T0,$T0,$T0 + vpxorq $T1,$T1,$T1 + vpmadd52huq $H2,$S1,$D0hi + vpxorq $T2,$T2,$T2 + vpxorq $T3,$T3,$T3 + vpmadd52luq $H2,$S2,$D1lo + vpxorq $T4,$T4,$T4 + vpxorq $tmp,$tmp,$tmp + vpmadd52huq $H2,$S2,$D1hi + vpmadd52luq $H2,$R0,$D2lo + vpmadd52huq $H2,$R0,$D2hi + + vpmadd52luq $H0,$R0,$T0 + vpmadd52huq $H0,$R0,$T1 + vpmadd52luq $H0,$R1,$T2 + vpmadd52huq $H0,$R1,$T3 + vpmadd52luq $H0,$R2,$T4 + vpmadd52huq $H0,$R2,$tmp + + vpmadd52luq $H1,$S2,$D0lo + vpmadd52huq $H1,$S2,$D0hi + vpmadd52luq $H1,$R0,$D1lo + vpmadd52huq $H1,$R0,$D1hi + vpaddq $T0,$D0lo,$D0lo + vpaddq $T1,$D0hi,$D0hi + vpmadd52luq $H1,$R1,$D2lo + vpaddq $T2,$D1lo,$D1lo + vpaddq $T3,$D1hi,$D1hi + vpmadd52huq $H1,$R1,$D2hi + vpaddq $T4,$D2lo,$D2lo + vpaddq $tmp,$D2hi,$D2hi + + ################################################################ + # partial reduction + vpsrlq \$44,$D0lo,$tmp + vpsllq \$8,$D0hi,$D0hi + vpandq $mask44,$D0lo,$H0 + vpaddq $tmp,$D0hi,$D0hi + + vpaddq $D0hi,$D1lo,$D1lo + + vpsrlq \$44,$D1lo,$tmp + vpsllq \$8,$D1hi,$D1hi + vpandq $mask44,$D1lo,$H1 + vpaddq $tmp,$D1hi,$D1hi + + vpaddq $D1hi,$D2lo,$D2lo + + vpsrlq \$42,$D2lo,$tmp + vpsllq \$10,$D2hi,$D2hi + vpandq .Lx_mask42(%rip),$D2lo,$H2 + vpaddq $tmp,$D2hi,$D2hi + + vpaddq $D2hi,$H0,$H0 + vpsllq \$2,$D2hi,$D2hi + + vpaddq $D2hi,$H0,$H0 + + vpsrlq \$44,$H0,$tmp # additional step + vpandq $mask44,$H0,$H0 + + vpaddq $tmp,$H1,$H1 + + dec %eax + jz .Ldone_init_vpmadd52 + + vpunpcklqdq $R1,$H1,$R1 # 1,2 + vpbroadcastq %x#$H1,%x#$H1 # 2,2 + vpunpcklqdq $R2,$H2,$R2 + vpbroadcastq %x#$H2,%x#$H2 + vpunpcklqdq $R0,$H0,$R0 + vpbroadcastq %x#$H0,%x#$H0 + + vpsllq \$2,$R1,$S1 # S1 = R1*5*4 + vpsllq \$2,$R2,$S2 # S2 = R2*5*4 + vpaddq $R1,$S1,$S1 + vpaddq $R2,$S2,$S2 + vpsllq \$2,$S1,$S1 + vpsllq \$2,$S2,$S2 + + jmp .Lmul_init_vpmadd52 + ud2 + +.align 32 +.Ldone_init_vpmadd52: + vinserti128 \$1,%x#$R1,$H1,$R1 # 1,2,3,4 + vinserti128 \$1,%x#$R2,$H2,$R2 + vinserti128 \$1,%x#$R0,$H0,$R0 + + vpermq \$0b11011000,$R1,$R1 # 1,3,2,4 + vpermq \$0b11011000,$R2,$R2 + vpermq \$0b11011000,$R0,$R0 + + vpsllq \$2,$R1,$S1 # S1 = R1*5*4 + vpaddq $R1,$S1,$S1 + vpsllq \$2,$S1,$S1 + + vmovq 0($ctx),%x#$H0 # load current hash value + vmovq 8($ctx),%x#$H1 + vmovq 16($ctx),%x#$H2 + + test \$3,$len # is length 4*n+2? + jnz .Ldone_init_vpmadd52_2x + + vmovdqu64 $R0,64($ctx) # save key powers + vpbroadcastq %x#$R0,$R0 # broadcast 4th power + vmovdqu64 $R1,96($ctx) + vpbroadcastq %x#$R1,$R1 + vmovdqu64 $R2,128($ctx) + vpbroadcastq %x#$R2,$R2 + vmovdqu64 $S1,160($ctx) + vpbroadcastq %x#$S1,$S1 + + jmp .Lblocks_vpmadd52_4x_key_loaded + ud2 + +.align 32 +.Ldone_init_vpmadd52_2x: + vmovdqu64 $R0,64($ctx) # save key powers + vpsrldq \$8,$R0,$R0 # 0-1-0-2 + vmovdqu64 $R1,96($ctx) + vpsrldq \$8,$R1,$R1 + vmovdqu64 $R2,128($ctx) + vpsrldq \$8,$R2,$R2 + vmovdqu64 $S1,160($ctx) + vpsrldq \$8,$S1,$S1 + jmp .Lblocks_vpmadd52_2x_key_loaded + ud2 + +.align 32 +.Lblocks_vpmadd52_2x_do: + vmovdqu64 128+8($ctx),${R2}{%k1}{z}# load 2nd and 1st key powers + vmovdqu64 160+8($ctx),${S1}{%k1}{z} + vmovdqu64 64+8($ctx),${R0}{%k1}{z} + vmovdqu64 96+8($ctx),${R1}{%k1}{z} + +.Lblocks_vpmadd52_2x_key_loaded: + vmovdqu64 16*0($inp),$T2 # load data + vpxorq $T3,$T3,$T3 + lea 16*2($inp),$inp + + vpunpcklqdq $T3,$T2,$T1 # transpose data + vpunpckhqdq $T3,$T2,$T3 + + # at this point 64-bit lanes are ordered as x-1-x-0 + + vpsrlq \$24,$T3,$T2 # splat the data + vporq $PAD,$T2,$T2 + vpaddq $T2,$H2,$H2 # accumulate input + vpandq $mask44,$T1,$T0 + vpsrlq \$44,$T1,$T1 + vpsllq \$20,$T3,$T3 + vporq $T3,$T1,$T1 + vpandq $mask44,$T1,$T1 + + jmp .Ltail_vpmadd52_2x + ud2 + +.align 32 +.Loop_vpmadd52_4x: + #vpaddq $T2,$H2,$H2 # accumulate input + vpaddq $T0,$H0,$H0 + vpaddq $T1,$H1,$H1 + + vpxorq $D0lo,$D0lo,$D0lo + vpxorq $D0hi,$D0hi,$D0hi + vpxorq $D1lo,$D1lo,$D1lo + vpxorq $D1hi,$D1hi,$D1hi + vpxorq $D2lo,$D2lo,$D2lo + vpxorq $D2hi,$D2hi,$D2hi + vpmadd52luq $H2,$S1,$D0lo + vpxorq $T0,$T0,$T0 + vpxorq $T1,$T1,$T1 + vpmadd52huq $H2,$S1,$D0hi + vpxorq $T2,$T2,$T2 + vpxorq $T3,$T3,$T3 + vpmadd52luq $H2,$S2,$D1lo + vpxorq $T4,$T4,$T4 + vpxorq $tmp,$tmp,$tmp + vpmadd52huq $H2,$S2,$D1hi + vpmadd52luq $H2,$R0,$D2lo + vpmadd52huq $H2,$R0,$D2hi + + vpmadd52luq $H0,$R0,$T0 + vpmadd52huq $H0,$R0,$T1 + vpmadd52luq $H0,$R1,$T2 + vpmadd52huq $H0,$R1,$T3 + vpmadd52luq $H0,$R2,$T4 + vpmadd52huq $H0,$R2,$tmp + + vpmadd52luq $H1,$S2,$D0lo + vpmadd52huq $H1,$S2,$D0hi + vpmadd52luq $H1,$R0,$D1lo + vpmadd52huq $H1,$R0,$D1hi + vpaddq $T0,$D0lo,$D0lo + vpaddq $T1,$D0hi,$D0hi + vpmadd52luq $H1,$R1,$D2lo + vpaddq $T2,$D1lo,$D1lo + vpaddq $T3,$D1hi,$D1hi + vpmadd52huq $H1,$R1,$D2hi + vpaddq $T4,$D2lo,$D2lo + vpaddq $tmp,$D2hi,$D2hi + + vmovdqu64 16*0($inp),$T2 # load data + vmovdqu64 16*2($inp),$T3 + lea 16*4($inp),$inp + vpunpcklqdq $T3,$T2,$T1 # transpose data + vpunpckhqdq $T3,$T2,$T3 + + ################################################################ + # partial reduction (interleaved with data splat) + vpsrlq \$44,$D0lo,$tmp + vpsllq \$8,$D0hi,$D0hi + vpandq $mask44,$D0lo,$H0 + vpaddq $tmp,$D0hi,$D0hi + + vpsrlq \$24,$T3,$T2 + vporq $PAD,$T2,$T2 + vpaddq $D0hi,$D1lo,$D1lo + + vpsrlq \$44,$D1lo,$tmp + vpsllq \$8,$D1hi,$D1hi + vpandq $mask44,$D1lo,$H1 + vpaddq $tmp,$D1hi,$D1hi + + vpandq $mask44,$T1,$T0 + vpsrlq \$44,$T1,$T1 + vpsllq \$20,$T3,$T3 + vpaddq $D1hi,$D2lo,$D2lo + + vpsrlq \$42,$D2lo,$tmp + vpsllq \$10,$D2hi,$D2hi + vpandq .Lx_mask42(%rip),$D2lo,$H2 + vpaddq $tmp,$D2hi,$D2hi + + vpaddq $T2,$H2,$H2 # accumulate input + vpaddq $D2hi,$H0,$H0 + vpsllq \$2,$D2hi,$D2hi + + vpaddq $D2hi,$H0,$H0 + vporq $T3,$T1,$T1 + vpandq $mask44,$T1,$T1 + + vpsrlq \$44,$H0,$tmp # additional step + vpandq $mask44,$H0,$H0 + + vpaddq $tmp,$H1,$H1 + + sub \$4,$len # len-=64 + jnz .Loop_vpmadd52_4x + +.Ltail_vpmadd52_4x: + vmovdqu64 128($ctx),$R2 # load all key powers + vmovdqu64 160($ctx),$S1 + vmovdqu64 64($ctx),$R0 + vmovdqu64 96($ctx),$R1 + +.Ltail_vpmadd52_2x: + vpsllq \$2,$R2,$S2 # S2 = R2*5*4 + vpaddq $R2,$S2,$S2 + vpsllq \$2,$S2,$S2 + + #vpaddq $T2,$H2,$H2 # accumulate input + vpaddq $T0,$H0,$H0 + vpaddq $T1,$H1,$H1 + + vpxorq $D0lo,$D0lo,$D0lo + vpxorq $D0hi,$D0hi,$D0hi + vpxorq $D1lo,$D1lo,$D1lo + vpxorq $D1hi,$D1hi,$D1hi + vpxorq $D2lo,$D2lo,$D2lo + vpxorq $D2hi,$D2hi,$D2hi + vpmadd52luq $H2,$S1,$D0lo + vpxorq $T0,$T0,$T0 + vpxorq $T1,$T1,$T1 + vpmadd52huq $H2,$S1,$D0hi + vpxorq $T2,$T2,$T2 + vpxorq $T3,$T3,$T3 + vpmadd52luq $H2,$S2,$D1lo + vpxorq $T4,$T4,$T4 + vpxorq $tmp,$tmp,$tmp + vpmadd52huq $H2,$S2,$D1hi + vpmadd52luq $H2,$R0,$D2lo + vpmadd52huq $H2,$R0,$D2hi + + vpmadd52luq $H0,$R0,$T0 + vpmadd52huq $H0,$R0,$T1 + vpmadd52luq $H0,$R1,$T2 + vpmadd52huq $H0,$R1,$T3 + vpmadd52luq $H0,$R2,$T4 + vpmadd52huq $H0,$R2,$tmp + + vpmadd52luq $H1,$S2,$D0lo + vpmadd52huq $H1,$S2,$D0hi + vpmadd52luq $H1,$R0,$D1lo + vpmadd52huq $H1,$R0,$D1hi + vpaddq $T0,$D0lo,$D0lo + vpaddq $T1,$D0hi,$D0hi + vpmadd52luq $H1,$R1,$D2lo + vpaddq $T2,$D1lo,$D1lo + vpaddq $T3,$D1hi,$D1hi + vpmadd52huq $H1,$R1,$D2hi + vpaddq $T4,$D2lo,$D2lo + vpaddq $tmp,$D2hi,$D2hi + + ################################################################ + # horizontal addition + + mov \$1,%eax + kmovw %eax,%k1 + vpsrldq \$8,$D0lo,$T0 + vpsrldq \$8,$D0hi,$H0 + vpsrldq \$8,$D1lo,$T1 + vpsrldq \$8,$D1hi,$H1 + vpaddq $T0,$D0lo,$D0lo + vpaddq $H0,$D0hi,$D0hi + vpsrldq \$8,$D2lo,$T2 + vpsrldq \$8,$D2hi,$H2 + vpaddq $T1,$D1lo,$D1lo + vpaddq $H1,$D1hi,$D1hi + vpermq \$0x2,$D0lo,$T0 + vpermq \$0x2,$D0hi,$H0 + vpaddq $T2,$D2lo,$D2lo + vpaddq $H2,$D2hi,$D2hi + + vpermq \$0x2,$D1lo,$T1 + vpermq \$0x2,$D1hi,$H1 + vpaddq $T0,$D0lo,${D0lo}{%k1}{z} + vpaddq $H0,$D0hi,${D0hi}{%k1}{z} + vpermq \$0x2,$D2lo,$T2 + vpermq \$0x2,$D2hi,$H2 + vpaddq $T1,$D1lo,${D1lo}{%k1}{z} + vpaddq $H1,$D1hi,${D1hi}{%k1}{z} + vpaddq $T2,$D2lo,${D2lo}{%k1}{z} + vpaddq $H2,$D2hi,${D2hi}{%k1}{z} + + ################################################################ + # partial reduction + vpsrlq \$44,$D0lo,$tmp + vpsllq \$8,$D0hi,$D0hi + vpandq $mask44,$D0lo,$H0 + vpaddq $tmp,$D0hi,$D0hi + + vpaddq $D0hi,$D1lo,$D1lo + + vpsrlq \$44,$D1lo,$tmp + vpsllq \$8,$D1hi,$D1hi + vpandq $mask44,$D1lo,$H1 + vpaddq $tmp,$D1hi,$D1hi + + vpaddq $D1hi,$D2lo,$D2lo + + vpsrlq \$42,$D2lo,$tmp + vpsllq \$10,$D2hi,$D2hi + vpandq .Lx_mask42(%rip),$D2lo,$H2 + vpaddq $tmp,$D2hi,$D2hi + + vpaddq $D2hi,$H0,$H0 + vpsllq \$2,$D2hi,$D2hi + + vpaddq $D2hi,$H0,$H0 + + vpsrlq \$44,$H0,$tmp # additional step + vpandq $mask44,$H0,$H0 + + vpaddq $tmp,$H1,$H1 + # at this point $len is + # either 4*n+2 or 0... + sub \$2,$len # len-=32 + ja .Lblocks_vpmadd52_4x_do + + vmovq %x#$H0,0($ctx) + vmovq %x#$H1,8($ctx) + vmovq %x#$H2,16($ctx) + vzeroall + +.Lno_data_vpmadd52_4x: + ret +.size poly1305_blocks_vpmadd52_4x,.-poly1305_blocks_vpmadd52_4x +___ +} +if (0) { +######################################################################## +# As implied by its name 8x subroutine processes 8 blocks in parallel... +# This is intermediate version, as it's used only in cases when input +# length is either 8*n, 8*n+1 or 8*n+2... + +my ($H0,$H1,$H2,$R0,$R1,$R2,$S1,$S2) = map("%ymm$_",(0..5,16,17)); +my ($D0lo,$D0hi,$D1lo,$D1hi,$D2lo,$D2hi) = map("%ymm$_",(18..23)); +my ($T0,$T1,$T2,$T3,$mask44,$mask42,$tmp,$PAD) = map("%ymm$_",(24..31)); +my ($RR0,$RR1,$RR2,$SS1,$SS2) = map("%ymm$_",(6..10)); + +$code.=<<___; +.type poly1305_blocks_vpmadd52_8x,\@function,4 +.align 32 +poly1305_blocks_vpmadd52_8x: + shr \$4,$len + jz .Lno_data_vpmadd52_8x # too short + + shl \$40,$padbit + mov 64($ctx),%r8 # peek on power of the key + + vmovdqa64 .Lx_mask44(%rip),$mask44 + vmovdqa64 .Lx_mask42(%rip),$mask42 + + test %r8,%r8 # is power value impossible? + js .Linit_vpmadd52 # if it is, then init R[4] + + vmovq 0($ctx),%x#$H0 # load current hash value + vmovq 8($ctx),%x#$H1 + vmovq 16($ctx),%x#$H2 + +.Lblocks_vpmadd52_8x: + ################################################################ + # fist we calculate more key powers + + vmovdqu64 128($ctx),$R2 # load 1-3-2-4 powers + vmovdqu64 160($ctx),$S1 + vmovdqu64 64($ctx),$R0 + vmovdqu64 96($ctx),$R1 + + vpsllq \$2,$R2,$S2 # S2 = R2*5*4 + vpaddq $R2,$S2,$S2 + vpsllq \$2,$S2,$S2 + + vpbroadcastq %x#$R2,$RR2 # broadcast 4th power + vpbroadcastq %x#$R0,$RR0 + vpbroadcastq %x#$R1,$RR1 + + vpxorq $D0lo,$D0lo,$D0lo + vpmadd52luq $RR2,$S1,$D0lo + vpxorq $D0hi,$D0hi,$D0hi + vpmadd52huq $RR2,$S1,$D0hi + vpxorq $D1lo,$D1lo,$D1lo + vpmadd52luq $RR2,$S2,$D1lo + vpxorq $D1hi,$D1hi,$D1hi + vpmadd52huq $RR2,$S2,$D1hi + vpxorq $D2lo,$D2lo,$D2lo + vpmadd52luq $RR2,$R0,$D2lo + vpxorq $D2hi,$D2hi,$D2hi + vpmadd52huq $RR2,$R0,$D2hi + + vpmadd52luq $RR0,$R0,$D0lo + vpmadd52huq $RR0,$R0,$D0hi + vpmadd52luq $RR0,$R1,$D1lo + vpmadd52huq $RR0,$R1,$D1hi + vpmadd52luq $RR0,$R2,$D2lo + vpmadd52huq $RR0,$R2,$D2hi + + vpmadd52luq $RR1,$S2,$D0lo + vpmadd52huq $RR1,$S2,$D0hi + vpmadd52luq $RR1,$R0,$D1lo + vpmadd52huq $RR1,$R0,$D1hi + vpmadd52luq $RR1,$R1,$D2lo + vpmadd52huq $RR1,$R1,$D2hi + + ################################################################ + # partial reduction + vpsrlq \$44,$D0lo,$tmp + vpsllq \$8,$D0hi,$D0hi + vpandq $mask44,$D0lo,$RR0 + vpaddq $tmp,$D0hi,$D0hi + + vpaddq $D0hi,$D1lo,$D1lo + + vpsrlq \$44,$D1lo,$tmp + vpsllq \$8,$D1hi,$D1hi + vpandq $mask44,$D1lo,$RR1 + vpaddq $tmp,$D1hi,$D1hi + + vpaddq $D1hi,$D2lo,$D2lo + + vpsrlq \$42,$D2lo,$tmp + vpsllq \$10,$D2hi,$D2hi + vpandq $mask42,$D2lo,$RR2 + vpaddq $tmp,$D2hi,$D2hi + + vpaddq $D2hi,$RR0,$RR0 + vpsllq \$2,$D2hi,$D2hi + + vpaddq $D2hi,$RR0,$RR0 + + vpsrlq \$44,$RR0,$tmp # additional step + vpandq $mask44,$RR0,$RR0 + + vpaddq $tmp,$RR1,$RR1 + + ################################################################ + # At this point Rx holds 1324 powers, RRx - 5768, and the goal + # is 15263748, which reflects how data is loaded... + + vpunpcklqdq $R2,$RR2,$T2 # 3748 + vpunpckhqdq $R2,$RR2,$R2 # 1526 + vpunpcklqdq $R0,$RR0,$T0 + vpunpckhqdq $R0,$RR0,$R0 + vpunpcklqdq $R1,$RR1,$T1 + vpunpckhqdq $R1,$RR1,$R1 +___ +######## switch to %zmm +map(s/%y/%z/, $H0,$H1,$H2,$R0,$R1,$R2,$S1,$S2); +map(s/%y/%z/, $D0lo,$D0hi,$D1lo,$D1hi,$D2lo,$D2hi); +map(s/%y/%z/, $T0,$T1,$T2,$T3,$mask44,$mask42,$tmp,$PAD); +map(s/%y/%z/, $RR0,$RR1,$RR2,$SS1,$SS2); + +$code.=<<___; + vshufi64x2 \$0x44,$R2,$T2,$RR2 # 15263748 + vshufi64x2 \$0x44,$R0,$T0,$RR0 + vshufi64x2 \$0x44,$R1,$T1,$RR1 + + vmovdqu64 16*0($inp),$T2 # load data + vmovdqu64 16*4($inp),$T3 + lea 16*8($inp),$inp + + vpsllq \$2,$RR2,$SS2 # S2 = R2*5*4 + vpsllq \$2,$RR1,$SS1 # S1 = R1*5*4 + vpaddq $RR2,$SS2,$SS2 + vpaddq $RR1,$SS1,$SS1 + vpsllq \$2,$SS2,$SS2 + vpsllq \$2,$SS1,$SS1 + + vpbroadcastq $padbit,$PAD + vpbroadcastq %x#$mask44,$mask44 + vpbroadcastq %x#$mask42,$mask42 + + vpbroadcastq %x#$SS1,$S1 # broadcast 8th power + vpbroadcastq %x#$SS2,$S2 + vpbroadcastq %x#$RR0,$R0 + vpbroadcastq %x#$RR1,$R1 + vpbroadcastq %x#$RR2,$R2 + + vpunpcklqdq $T3,$T2,$T1 # transpose data + vpunpckhqdq $T3,$T2,$T3 + + # at this point 64-bit lanes are ordered as 73625140 + + vpsrlq \$24,$T3,$T2 # splat the data + vporq $PAD,$T2,$T2 + vpaddq $T2,$H2,$H2 # accumulate input + vpandq $mask44,$T1,$T0 + vpsrlq \$44,$T1,$T1 + vpsllq \$20,$T3,$T3 + vporq $T3,$T1,$T1 + vpandq $mask44,$T1,$T1 + + sub \$8,$len + jz .Ltail_vpmadd52_8x + jmp .Loop_vpmadd52_8x + +.align 32 +.Loop_vpmadd52_8x: + #vpaddq $T2,$H2,$H2 # accumulate input + vpaddq $T0,$H0,$H0 + vpaddq $T1,$H1,$H1 + + vpxorq $D0lo,$D0lo,$D0lo + vpmadd52luq $H2,$S1,$D0lo + vpxorq $D0hi,$D0hi,$D0hi + vpmadd52huq $H2,$S1,$D0hi + vpxorq $D1lo,$D1lo,$D1lo + vpmadd52luq $H2,$S2,$D1lo + vpxorq $D1hi,$D1hi,$D1hi + vpmadd52huq $H2,$S2,$D1hi + vpxorq $D2lo,$D2lo,$D2lo + vpmadd52luq $H2,$R0,$D2lo + vpxorq $D2hi,$D2hi,$D2hi + vpmadd52huq $H2,$R0,$D2hi + + vmovdqu64 16*0($inp),$T2 # load data + vmovdqu64 16*4($inp),$T3 + lea 16*8($inp),$inp + vpmadd52luq $H0,$R0,$D0lo + vpmadd52huq $H0,$R0,$D0hi + vpmadd52luq $H0,$R1,$D1lo + vpmadd52huq $H0,$R1,$D1hi + vpmadd52luq $H0,$R2,$D2lo + vpmadd52huq $H0,$R2,$D2hi + + vpunpcklqdq $T3,$T2,$T1 # transpose data + vpunpckhqdq $T3,$T2,$T3 + vpmadd52luq $H1,$S2,$D0lo + vpmadd52huq $H1,$S2,$D0hi + vpmadd52luq $H1,$R0,$D1lo + vpmadd52huq $H1,$R0,$D1hi + vpmadd52luq $H1,$R1,$D2lo + vpmadd52huq $H1,$R1,$D2hi + + ################################################################ + # partial reduction (interleaved with data splat) + vpsrlq \$44,$D0lo,$tmp + vpsllq \$8,$D0hi,$D0hi + vpandq $mask44,$D0lo,$H0 + vpaddq $tmp,$D0hi,$D0hi + + vpsrlq \$24,$T3,$T2 + vporq $PAD,$T2,$T2 + vpaddq $D0hi,$D1lo,$D1lo + + vpsrlq \$44,$D1lo,$tmp + vpsllq \$8,$D1hi,$D1hi + vpandq $mask44,$D1lo,$H1 + vpaddq $tmp,$D1hi,$D1hi + + vpandq $mask44,$T1,$T0 + vpsrlq \$44,$T1,$T1 + vpsllq \$20,$T3,$T3 + vpaddq $D1hi,$D2lo,$D2lo + + vpsrlq \$42,$D2lo,$tmp + vpsllq \$10,$D2hi,$D2hi + vpandq $mask42,$D2lo,$H2 + vpaddq $tmp,$D2hi,$D2hi + + vpaddq $T2,$H2,$H2 # accumulate input + vpaddq $D2hi,$H0,$H0 + vpsllq \$2,$D2hi,$D2hi + + vpaddq $D2hi,$H0,$H0 + vporq $T3,$T1,$T1 + vpandq $mask44,$T1,$T1 + + vpsrlq \$44,$H0,$tmp # additional step + vpandq $mask44,$H0,$H0 + + vpaddq $tmp,$H1,$H1 + + sub \$8,$len # len-=128 + jnz .Loop_vpmadd52_8x + +.Ltail_vpmadd52_8x: + #vpaddq $T2,$H2,$H2 # accumulate input + vpaddq $T0,$H0,$H0 + vpaddq $T1,$H1,$H1 + + vpxorq $D0lo,$D0lo,$D0lo + vpmadd52luq $H2,$SS1,$D0lo + vpxorq $D0hi,$D0hi,$D0hi + vpmadd52huq $H2,$SS1,$D0hi + vpxorq $D1lo,$D1lo,$D1lo + vpmadd52luq $H2,$SS2,$D1lo + vpxorq $D1hi,$D1hi,$D1hi + vpmadd52huq $H2,$SS2,$D1hi + vpxorq $D2lo,$D2lo,$D2lo + vpmadd52luq $H2,$RR0,$D2lo + vpxorq $D2hi,$D2hi,$D2hi + vpmadd52huq $H2,$RR0,$D2hi + + vpmadd52luq $H0,$RR0,$D0lo + vpmadd52huq $H0,$RR0,$D0hi + vpmadd52luq $H0,$RR1,$D1lo + vpmadd52huq $H0,$RR1,$D1hi + vpmadd52luq $H0,$RR2,$D2lo + vpmadd52huq $H0,$RR2,$D2hi + + vpmadd52luq $H1,$SS2,$D0lo + vpmadd52huq $H1,$SS2,$D0hi + vpmadd52luq $H1,$RR0,$D1lo + vpmadd52huq $H1,$RR0,$D1hi + vpmadd52luq $H1,$RR1,$D2lo + vpmadd52huq $H1,$RR1,$D2hi + + ################################################################ + # horizontal addition + + mov \$1,%eax + kmovw %eax,%k1 + vpsrldq \$8,$D0lo,$T0 + vpsrldq \$8,$D0hi,$H0 + vpsrldq \$8,$D1lo,$T1 + vpsrldq \$8,$D1hi,$H1 + vpaddq $T0,$D0lo,$D0lo + vpaddq $H0,$D0hi,$D0hi + vpsrldq \$8,$D2lo,$T2 + vpsrldq \$8,$D2hi,$H2 + vpaddq $T1,$D1lo,$D1lo + vpaddq $H1,$D1hi,$D1hi + vpermq \$0x2,$D0lo,$T0 + vpermq \$0x2,$D0hi,$H0 + vpaddq $T2,$D2lo,$D2lo + vpaddq $H2,$D2hi,$D2hi + + vpermq \$0x2,$D1lo,$T1 + vpermq \$0x2,$D1hi,$H1 + vpaddq $T0,$D0lo,$D0lo + vpaddq $H0,$D0hi,$D0hi + vpermq \$0x2,$D2lo,$T2 + vpermq \$0x2,$D2hi,$H2 + vpaddq $T1,$D1lo,$D1lo + vpaddq $H1,$D1hi,$D1hi + vextracti64x4 \$1,$D0lo,%y#$T0 + vextracti64x4 \$1,$D0hi,%y#$H0 + vpaddq $T2,$D2lo,$D2lo + vpaddq $H2,$D2hi,$D2hi + + vextracti64x4 \$1,$D1lo,%y#$T1 + vextracti64x4 \$1,$D1hi,%y#$H1 + vextracti64x4 \$1,$D2lo,%y#$T2 + vextracti64x4 \$1,$D2hi,%y#$H2 +___ +######## switch back to %ymm +map(s/%z/%y/, $H0,$H1,$H2,$R0,$R1,$R2,$S1,$S2); +map(s/%z/%y/, $D0lo,$D0hi,$D1lo,$D1hi,$D2lo,$D2hi); +map(s/%z/%y/, $T0,$T1,$T2,$T3,$mask44,$mask42,$tmp,$PAD); + +$code.=<<___; + vpaddq $T0,$D0lo,${D0lo}{%k1}{z} + vpaddq $H0,$D0hi,${D0hi}{%k1}{z} + vpaddq $T1,$D1lo,${D1lo}{%k1}{z} + vpaddq $H1,$D1hi,${D1hi}{%k1}{z} + vpaddq $T2,$D2lo,${D2lo}{%k1}{z} + vpaddq $H2,$D2hi,${D2hi}{%k1}{z} + + ################################################################ + # partial reduction + vpsrlq \$44,$D0lo,$tmp + vpsllq \$8,$D0hi,$D0hi + vpandq $mask44,$D0lo,$H0 + vpaddq $tmp,$D0hi,$D0hi + + vpaddq $D0hi,$D1lo,$D1lo + + vpsrlq \$44,$D1lo,$tmp + vpsllq \$8,$D1hi,$D1hi + vpandq $mask44,$D1lo,$H1 + vpaddq $tmp,$D1hi,$D1hi + + vpaddq $D1hi,$D2lo,$D2lo + + vpsrlq \$42,$D2lo,$tmp + vpsllq \$10,$D2hi,$D2hi + vpandq $mask42,$D2lo,$H2 + vpaddq $tmp,$D2hi,$D2hi + + vpaddq $D2hi,$H0,$H0 + vpsllq \$2,$D2hi,$D2hi + + vpaddq $D2hi,$H0,$H0 + + vpsrlq \$44,$H0,$tmp # additional step + vpandq $mask44,$H0,$H0 + + vpaddq $tmp,$H1,$H1 + + ################################################################ + + vmovq %x#$H0,0($ctx) + vmovq %x#$H1,8($ctx) + vmovq %x#$H2,16($ctx) + vzeroall + +.Lno_data_vpmadd52_8x: + ret +.size poly1305_blocks_vpmadd52_8x,.-poly1305_blocks_vpmadd52_8x +___ +} +$code.=<<___; +.type poly1305_emit_base2_44,\@function,3 +.align 32 +poly1305_emit_base2_44: + mov 0($ctx),%r8 # load hash value + mov 8($ctx),%r9 + mov 16($ctx),%r10 + + mov %r9,%rax # base 2^44 -> base 2^64 + shr \$20,%r9 + shl \$44,%rax + mov %r10,%rcx + shr \$40,%r10 + shl \$24,%rcx + + add %rax,%r8 + adc %rcx,%r9 + adc \$0,%r10 + + mov %r8,%rax + add \$5,%r8 # compare to modulus + mov %r9,%rcx + adc \$0,%r9 + adc \$0,%r10 + shr \$2,%r10 # did 130-bit value overflow? + cmovnz %r8,%rax + cmovnz %r9,%rcx + + add 0($nonce),%rax # accumulate nonce + adc 8($nonce),%rcx + mov %rax,0($mac) # write result + mov %rcx,8($mac) + + ret +.size poly1305_emit_base2_44,.-poly1305_emit_base2_44 +___ +} } +$code.=<<___; +.align 64 +.Lconst: +.Lmask24: +.long 0x0ffffff,0,0x0ffffff,0,0x0ffffff,0,0x0ffffff,0 +.L129: +.long `1<<24`,0,`1<<24`,0,`1<<24`,0,`1<<24`,0 +.Lmask26: +.long 0x3ffffff,0,0x3ffffff,0,0x3ffffff,0,0x3ffffff,0 +.Lpermd_avx2: +.long 2,2,2,3,2,0,2,1 +.Lpermd_avx512: +.long 0,0,0,1, 0,2,0,3, 0,4,0,5, 0,6,0,7 + +.L2_44_inp_permd: +.long 0,1,1,2,2,3,7,7 +.L2_44_inp_shift: +.quad 0,12,24,64 +.L2_44_mask: +.quad 0xfffffffffff,0xfffffffffff,0x3ffffffffff,0xffffffffffffffff +.L2_44_shift_rgt: +.quad 44,44,42,64 +.L2_44_shift_lft: +.quad 8,8,10,64 + +.align 64 +.Lx_mask44: +.quad 0xfffffffffff,0xfffffffffff,0xfffffffffff,0xfffffffffff +.quad 0xfffffffffff,0xfffffffffff,0xfffffffffff,0xfffffffffff +.Lx_mask42: +.quad 0x3ffffffffff,0x3ffffffffff,0x3ffffffffff,0x3ffffffffff +.quad 0x3ffffffffff,0x3ffffffffff,0x3ffffffffff,0x3ffffffffff +___ +} +$code.=<<___; +.asciz "Poly1305 for x86_64, CRYPTOGAMS by \@dot-asm" +.align 16 +___ + +{ # chacha20-poly1305 helpers +my ($out,$inp,$otp,$len)=$win64 ? ("%rcx","%rdx","%r8", "%r9") : # Win64 order + ("%rdi","%rsi","%rdx","%rcx"); # Unix order +$code.=<<___; +.globl xor128_encrypt_n_pad +.type xor128_encrypt_n_pad,\@abi-omnipotent +.align 16 +xor128_encrypt_n_pad: + sub $otp,$inp + sub $otp,$out + mov $len,%r10 # put len aside + shr \$4,$len # len / 16 + jz .Ltail_enc + nop +.Loop_enc_xmm: + movdqu ($inp,$otp),%xmm0 + pxor ($otp),%xmm0 + movdqu %xmm0,($out,$otp) + movdqa %xmm0,($otp) + lea 16($otp),$otp + dec $len + jnz .Loop_enc_xmm + + and \$15,%r10 # len % 16 + jz .Ldone_enc + +.Ltail_enc: + mov \$16,$len + sub %r10,$len + xor %eax,%eax +.Loop_enc_byte: + mov ($inp,$otp),%al + xor ($otp),%al + mov %al,($out,$otp) + mov %al,($otp) + lea 1($otp),$otp + dec %r10 + jnz .Loop_enc_byte + + xor %eax,%eax +.Loop_enc_pad: + mov %al,($otp) + lea 1($otp),$otp + dec $len + jnz .Loop_enc_pad + +.Ldone_enc: + mov $otp,%rax + ret +.size xor128_encrypt_n_pad,.-xor128_encrypt_n_pad + +.globl xor128_decrypt_n_pad +.type xor128_decrypt_n_pad,\@abi-omnipotent +.align 16 +xor128_decrypt_n_pad: + sub $otp,$inp + sub $otp,$out + mov $len,%r10 # put len aside + shr \$4,$len # len / 16 + jz .Ltail_dec + nop +.Loop_dec_xmm: + movdqu ($inp,$otp),%xmm0 + movdqa ($otp),%xmm1 + pxor %xmm0,%xmm1 + movdqu %xmm1,($out,$otp) + movdqa %xmm0,($otp) + lea 16($otp),$otp + dec $len + jnz .Loop_dec_xmm + + pxor %xmm1,%xmm1 + and \$15,%r10 # len % 16 + jz .Ldone_dec + +.Ltail_dec: + mov \$16,$len + sub %r10,$len + xor %eax,%eax + xor %r11,%r11 +.Loop_dec_byte: + mov ($inp,$otp),%r11b + mov ($otp),%al + xor %r11b,%al + mov %al,($out,$otp) + mov %r11b,($otp) + lea 1($otp),$otp + dec %r10 + jnz .Loop_dec_byte + + xor %eax,%eax +.Loop_dec_pad: + mov %al,($otp) + lea 1($otp),$otp + dec $len + jnz .Loop_dec_pad + +.Ldone_dec: + mov $otp,%rax + ret +.size xor128_decrypt_n_pad,.-xor128_decrypt_n_pad +___ +} + +# EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame, +# CONTEXT *context,DISPATCHER_CONTEXT *disp) +if ($win64) { +$rec="%rcx"; +$frame="%rdx"; +$context="%r8"; +$disp="%r9"; + +$code.=<<___; +.extern __imp_RtlVirtualUnwind +.type se_handler,\@abi-omnipotent +.align 16 +se_handler: + push %rsi + push %rdi + push %rbx + push %rbp + push %r12 + push %r13 + push %r14 + push %r15 + pushfq + sub \$64,%rsp + + mov 120($context),%rax # pull context->Rax + mov 248($context),%rbx # pull context->Rip + + mov 8($disp),%rsi # disp->ImageBase + mov 56($disp),%r11 # disp->HandlerData + + mov 0(%r11),%r10d # HandlerData[0] + lea (%rsi,%r10),%r10 # prologue label + cmp %r10,%rbx # context->Rip<.Lprologue + jb .Lcommon_seh_tail + + mov 152($context),%rax # pull context->Rsp + + mov 4(%r11),%r10d # HandlerData[1] + lea (%rsi,%r10),%r10 # epilogue label + cmp %r10,%rbx # context->Rip>=.Lepilogue + jae .Lcommon_seh_tail + + lea 56(%rax),%rax + + mov -8(%rax),%rbx + mov -16(%rax),%rbp + mov -24(%rax),%r12 + mov -32(%rax),%r13 + mov -40(%rax),%r14 + mov -48(%rax),%r15 + mov %rbx,144($context) # restore context->Rbx + mov %rbp,160($context) # restore context->Rbp + mov %r12,216($context) # restore context->R12 + mov %r13,224($context) # restore context->R13 + mov %r14,232($context) # restore context->R14 + mov %r15,240($context) # restore context->R14 + + jmp .Lcommon_seh_tail +.size se_handler,.-se_handler + +.type avx_handler,\@abi-omnipotent +.align 16 +avx_handler: + push %rsi + push %rdi + push %rbx + push %rbp + push %r12 + push %r13 + push %r14 + push %r15 + pushfq + sub \$64,%rsp + + mov 120($context),%rax # pull context->Rax + mov 248($context),%rbx # pull context->Rip + + mov 8($disp),%rsi # disp->ImageBase + mov 56($disp),%r11 # disp->HandlerData + + mov 0(%r11),%r10d # HandlerData[0] + lea (%rsi,%r10),%r10 # prologue label + cmp %r10,%rbx # context->RipRsp + + mov 4(%r11),%r10d # HandlerData[1] + lea (%rsi,%r10),%r10 # epilogue label + cmp %r10,%rbx # context->Rip>=epilogue label + jae .Lcommon_seh_tail + + mov 208($context),%rax # pull context->R11 + + lea 0x50(%rax),%rsi + lea 0xf8(%rax),%rax + lea 512($context),%rdi # &context.Xmm6 + mov \$20,%ecx + .long 0xa548f3fc # cld; rep movsq + +.Lcommon_seh_tail: + mov 8(%rax),%rdi + mov 16(%rax),%rsi + mov %rax,152($context) # restore context->Rsp + mov %rsi,168($context) # restore context->Rsi + mov %rdi,176($context) # restore context->Rdi + + mov 40($disp),%rdi # disp->ContextRecord + mov $context,%rsi # context + mov \$154,%ecx # sizeof(CONTEXT) + .long 0xa548f3fc # cld; rep movsq + + mov $disp,%rsi + xor %rcx,%rcx # arg1, UNW_FLAG_NHANDLER + mov 8(%rsi),%rdx # arg2, disp->ImageBase + mov 0(%rsi),%r8 # arg3, disp->ControlPc + mov 16(%rsi),%r9 # arg4, disp->FunctionEntry + mov 40(%rsi),%r10 # disp->ContextRecord + lea 56(%rsi),%r11 # &disp->HandlerData + lea 24(%rsi),%r12 # &disp->EstablisherFrame + mov %r10,32(%rsp) # arg5 + mov %r11,40(%rsp) # arg6 + mov %r12,48(%rsp) # arg7 + mov %rcx,56(%rsp) # arg8, (NULL) + call *__imp_RtlVirtualUnwind(%rip) + + mov \$1,%eax # ExceptionContinueSearch + add \$64,%rsp + popfq + pop %r15 + pop %r14 + pop %r13 + pop %r12 + pop %rbp + pop %rbx + pop %rdi + pop %rsi + ret +.size avx_handler,.-avx_handler + +.section .pdata +.align 4 + .rva .LSEH_begin_poly1305_init + .rva .LSEH_end_poly1305_init + .rva .LSEH_info_poly1305_init + + .rva .LSEH_begin_poly1305_blocks + .rva .LSEH_end_poly1305_blocks + .rva .LSEH_info_poly1305_blocks + + .rva .LSEH_begin_poly1305_emit + .rva .LSEH_end_poly1305_emit + .rva .LSEH_info_poly1305_emit +___ +$code.=<<___ if ($avx); + .rva .LSEH_begin_poly1305_blocks_avx + .rva .Lbase2_64_avx + .rva .LSEH_info_poly1305_blocks_avx_1 + + .rva .Lbase2_64_avx + .rva .Leven_avx + .rva .LSEH_info_poly1305_blocks_avx_2 + + .rva .Leven_avx + .rva .LSEH_end_poly1305_blocks_avx + .rva .LSEH_info_poly1305_blocks_avx_3 +___ +$code.=<<___ if ($avx>1); + .rva .LSEH_begin_poly1305_blocks_avx2 + .rva .Lbase2_64_avx2 + .rva .LSEH_info_poly1305_blocks_avx2_1 + + .rva .Lbase2_64_avx2 + .rva .Leven_avx2 + .rva .LSEH_info_poly1305_blocks_avx2_2 + + .rva .Leven_avx2 + .rva .LSEH_end_poly1305_blocks_avx2 + .rva .LSEH_info_poly1305_blocks_avx2_3 +___ +$code.=<<___ if ($avx>2); + .rva .LSEH_begin_poly1305_blocks_avx512 + .rva .LSEH_end_poly1305_blocks_avx512 + .rva .LSEH_info_poly1305_blocks_avx512 +___ +$code.=<<___ if ($avx>3); + .rva .LSEH_begin_poly1305_init_base2_44 + .rva .LSEH_end_poly1305_init_base2_44 + .rva .LSEH_info_poly1305_init_base2_44 + + .rva .LSEH_begin_poly1305_blocks_base2_44 + .rva .LSEH_end_poly1305_blocks_base2_44 + .rva .LSEH_info_poly1305_blocks_base2_44 + + .rva .LSEH_begin_poly1305_blocks_vpmadd52 + .rva .LSEH_end_poly1305_blocks_vpmadd52 + .rva .LSEH_info_poly1305_blocks_vpmadd52 + + .rva .LSEH_begin_poly1305_blocks_vpmadd52_4x + .rva .LSEH_end_poly1305_blocks_vpmadd52_4x + .rva .LSEH_info_poly1305_blocks_vpmadd52_4x + + .rva .LSEH_begin_poly1305_emit_base2_44 + .rva .LSEH_end_poly1305_emit_base2_44 + .rva .LSEH_info_poly1305_emit_base2_44 +___ +$code.=<<___; +.section .xdata +.align 8 +.LSEH_info_poly1305_init: + .byte 9,0,0,0 + .rva se_handler + .long 0,0 # 0,0 means "no stack frame allocated" + +.LSEH_info_poly1305_blocks: + .byte 9,0,0,0 + .rva se_handler + .rva .Lblocks_body,.Lblocks_epilogue + +.LSEH_info_poly1305_emit: + .byte 9,0,0,0 + .rva se_handler + .long 0,0 +___ +$code.=<<___ if ($avx); +.LSEH_info_poly1305_blocks_avx_1: + .byte 9,0,0,0 + .rva se_handler + .rva .Lblocks_avx_body,.Lblocks_avx_epilogue # HandlerData[] + +.LSEH_info_poly1305_blocks_avx_2: + .byte 9,0,0,0 + .rva se_handler + .rva .Lbase2_64_avx_body,.Lbase2_64_avx_epilogue # HandlerData[] + +.LSEH_info_poly1305_blocks_avx_3: + .byte 9,0,0,0 + .rva avx_handler + .rva .Ldo_avx_body,.Ldo_avx_epilogue # HandlerData[] +___ +$code.=<<___ if ($avx>1); +.LSEH_info_poly1305_blocks_avx2_1: + .byte 9,0,0,0 + .rva se_handler + .rva .Lblocks_avx2_body,.Lblocks_avx2_epilogue # HandlerData[] + +.LSEH_info_poly1305_blocks_avx2_2: + .byte 9,0,0,0 + .rva se_handler + .rva .Lbase2_64_avx2_body,.Lbase2_64_avx2_epilogue # HandlerData[] + +.LSEH_info_poly1305_blocks_avx2_3: + .byte 9,0,0,0 + .rva avx_handler + .rva .Ldo_avx2_body,.Ldo_avx2_epilogue # HandlerData[] +___ +$code.=<<___ if ($avx>2); +.LSEH_info_poly1305_blocks_avx512: + .byte 9,0,0,0 + .rva avx_handler + .rva .Ldo_avx512_body,.Ldo_avx512_epilogue # HandlerData[] +___ +$code.=<<___ if ($avx>3); +.LSEH_info_poly1305_init_base2_44: + .byte 9,0,0,0 + .rva se_handler + .long 0,0 + +.LSEH_info_poly1305_blocks_base2_44: + .byte 9,0,0,0 + .rva se_handler + .rva .Lblocks_base2_44_body,.Lblocks_base2_44_epilogue + +.LSEH_info_poly1305_blocks_vpmadd52: + .byte 9,0,0,0 + .rva se_handler + .long 0,0 + +.LSEH_info_poly1305_blocks_vpmadd52_4x: + .byte 9,0,0,0 + .rva se_handler + .long 0,0 + +.LSEH_info_poly1305_emit_base2_44: + .byte 9,0,0,0 + .rva se_handler + .long 0,0 +___ +} + +foreach (split('\n',$code)) { + s/\`([^\`]*)\`/eval($1)/ge; + s/%r([a-z]+)#d/%e$1/g; + s/%r([0-9]+)#d/%r$1d/g; + s/%x#%[yz]/%x/g or s/%y#%z/%y/g or s/%z#%[yz]/%z/g; + + print $_,"\n"; +} +close STDOUT; diff --git a/cbits/asm/sha1-armv8-ios64.S b/cbits/asm/sha1-armv8-ios64.S new file mode 100644 --- /dev/null +++ b/cbits/asm/sha1-armv8-ios64.S @@ -0,0 +1,1216 @@ +#ifndef __KERNEL__ +# include "arm_arch.h" + +#else +.globl _crypton_sha1_asm_block_armv8 +#endif + +.text + +.globl _crypton_sha1_asm_block_data_order + +.align 6 +_crypton_sha1_asm_block_data_order: + adrp x16,_crypton_armcap_P@PAGE + ldr w16,[x16,_crypton_armcap_P@PAGEOFF] + tst w16,#ARMV8_SHA1 + b.ne Lv8_entry + + stp x29,x30,[sp,#-12*__SIZEOF_POINTER__]! + add x29,sp,#0 + stp x19,x20,[sp,#2*__SIZEOF_POINTER__] + stp x21,x22,[sp,#4*__SIZEOF_POINTER__] + stp x23,x24,[sp,#6*__SIZEOF_POINTER__] + stp x25,x26,[sp,#8*__SIZEOF_POINTER__] + stp x27,x28,[sp,#10*__SIZEOF_POINTER__] + + ldp w20,w21,[x0] + ldp w22,w23,[x0,#8] + ldr w24,[x0,#16] + +Loop: + ldr x3,[x1],#64 + movz w28,#0x7999 + sub x2,x2,#1 + movk w28,#0x5a82,lsl#16 +#ifdef __AARCH64EB__ + ror x3,x3,#32 +#else + rev32 x3,x3 +#endif + add w24,w24,w28 // warm it up + add w24,w24,w3 + lsr x4,x3,#32 + ldur x5,[x1,#-56] + bic w25,w23,w21 + and w26,w22,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + orr w25,w25,w26 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + add w23,w23,w4 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) +#ifdef __AARCH64EB__ + ror x5,x5,#32 +#else + rev32 x5,x5 +#endif + bic w25,w22,w20 + and w26,w21,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + orr w25,w25,w26 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + add w22,w22,w5 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + lsr x6,x5,#32 + ldur x7,[x1,#-48] + bic w25,w21,w24 + and w26,w20,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + orr w25,w25,w26 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + add w21,w21,w6 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) +#ifdef __AARCH64EB__ + ror x7,x7,#32 +#else + rev32 x7,x7 +#endif + bic w25,w20,w23 + and w26,w24,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + orr w25,w25,w26 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + add w20,w20,w7 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + lsr x8,x7,#32 + ldur x9,[x1,#-40] + bic w25,w24,w22 + and w26,w23,w22 + ror w27,w21,#27 + add w24,w24,w28 // future e+=K + orr w25,w25,w26 + add w20,w20,w27 // e+=rot(a,5) + ror w22,w22,#2 + add w24,w24,w8 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) +#ifdef __AARCH64EB__ + ror x9,x9,#32 +#else + rev32 x9,x9 +#endif + bic w25,w23,w21 + and w26,w22,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + orr w25,w25,w26 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + add w23,w23,w9 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + lsr x10,x9,#32 + ldur x11,[x1,#-32] + bic w25,w22,w20 + and w26,w21,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + orr w25,w25,w26 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + add w22,w22,w10 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) +#ifdef __AARCH64EB__ + ror x11,x11,#32 +#else + rev32 x11,x11 +#endif + bic w25,w21,w24 + and w26,w20,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + orr w25,w25,w26 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + add w21,w21,w11 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + lsr x12,x11,#32 + ldur x13,[x1,#-24] + bic w25,w20,w23 + and w26,w24,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + orr w25,w25,w26 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + add w20,w20,w12 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) +#ifdef __AARCH64EB__ + ror x13,x13,#32 +#else + rev32 x13,x13 +#endif + bic w25,w24,w22 + and w26,w23,w22 + ror w27,w21,#27 + add w24,w24,w28 // future e+=K + orr w25,w25,w26 + add w20,w20,w27 // e+=rot(a,5) + ror w22,w22,#2 + add w24,w24,w13 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + lsr x14,x13,#32 + ldur x15,[x1,#-16] + bic w25,w23,w21 + and w26,w22,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + orr w25,w25,w26 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + add w23,w23,w14 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) +#ifdef __AARCH64EB__ + ror x15,x15,#32 +#else + rev32 x15,x15 +#endif + bic w25,w22,w20 + and w26,w21,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + orr w25,w25,w26 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + add w22,w22,w15 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + lsr x16,x15,#32 + ldur x17,[x1,#-8] + bic w25,w21,w24 + and w26,w20,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + orr w25,w25,w26 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + add w21,w21,w16 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) +#ifdef __AARCH64EB__ + ror x17,x17,#32 +#else + rev32 x17,x17 +#endif + bic w25,w20,w23 + and w26,w24,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + orr w25,w25,w26 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + add w20,w20,w17 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + lsr x19,x17,#32 + eor w3,w3,w5 + bic w25,w24,w22 + and w26,w23,w22 + ror w27,w21,#27 + eor w3,w3,w11 + add w24,w24,w28 // future e+=K + orr w25,w25,w26 + add w20,w20,w27 // e+=rot(a,5) + eor w3,w3,w16 + ror w22,w22,#2 + add w24,w24,w19 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w3,w3,#31 + eor w4,w4,w6 + bic w25,w23,w21 + and w26,w22,w21 + ror w27,w20,#27 + eor w4,w4,w12 + add w23,w23,w28 // future e+=K + orr w25,w25,w26 + add w24,w24,w27 // e+=rot(a,5) + eor w4,w4,w17 + ror w21,w21,#2 + add w23,w23,w3 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w4,w4,#31 + eor w5,w5,w7 + bic w25,w22,w20 + and w26,w21,w20 + ror w27,w24,#27 + eor w5,w5,w13 + add w22,w22,w28 // future e+=K + orr w25,w25,w26 + add w23,w23,w27 // e+=rot(a,5) + eor w5,w5,w19 + ror w20,w20,#2 + add w22,w22,w4 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w5,w5,#31 + eor w6,w6,w8 + bic w25,w21,w24 + and w26,w20,w24 + ror w27,w23,#27 + eor w6,w6,w14 + add w21,w21,w28 // future e+=K + orr w25,w25,w26 + add w22,w22,w27 // e+=rot(a,5) + eor w6,w6,w3 + ror w24,w24,#2 + add w21,w21,w5 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w6,w6,#31 + eor w7,w7,w9 + bic w25,w20,w23 + and w26,w24,w23 + ror w27,w22,#27 + eor w7,w7,w15 + add w20,w20,w28 // future e+=K + orr w25,w25,w26 + add w21,w21,w27 // e+=rot(a,5) + eor w7,w7,w4 + ror w23,w23,#2 + add w20,w20,w6 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w7,w7,#31 + movz w28,#0xeba1 + movk w28,#0x6ed9,lsl#16 + eor w8,w8,w10 + bic w25,w24,w22 + and w26,w23,w22 + ror w27,w21,#27 + eor w8,w8,w16 + add w24,w24,w28 // future e+=K + orr w25,w25,w26 + add w20,w20,w27 // e+=rot(a,5) + eor w8,w8,w5 + ror w22,w22,#2 + add w24,w24,w7 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w8,w8,#31 + eor w9,w9,w11 + eor w25,w23,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + eor w9,w9,w17 + eor w25,w25,w22 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + eor w9,w9,w6 + add w23,w23,w8 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w9,w9,#31 + eor w10,w10,w12 + eor w25,w22,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + eor w10,w10,w19 + eor w25,w25,w21 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + eor w10,w10,w7 + add w22,w22,w9 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w10,w10,#31 + eor w11,w11,w13 + eor w25,w21,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + eor w11,w11,w3 + eor w25,w25,w20 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + eor w11,w11,w8 + add w21,w21,w10 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w11,w11,#31 + eor w12,w12,w14 + eor w25,w20,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + eor w12,w12,w4 + eor w25,w25,w24 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + eor w12,w12,w9 + add w20,w20,w11 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w12,w12,#31 + eor w13,w13,w15 + eor w25,w24,w22 + ror w27,w21,#27 + add w24,w24,w28 // future e+=K + eor w13,w13,w5 + eor w25,w25,w23 + add w20,w20,w27 // e+=rot(a,5) + ror w22,w22,#2 + eor w13,w13,w10 + add w24,w24,w12 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w13,w13,#31 + eor w14,w14,w16 + eor w25,w23,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + eor w14,w14,w6 + eor w25,w25,w22 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + eor w14,w14,w11 + add w23,w23,w13 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w14,w14,#31 + eor w15,w15,w17 + eor w25,w22,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + eor w15,w15,w7 + eor w25,w25,w21 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + eor w15,w15,w12 + add w22,w22,w14 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w15,w15,#31 + eor w16,w16,w19 + eor w25,w21,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + eor w16,w16,w8 + eor w25,w25,w20 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + eor w16,w16,w13 + add w21,w21,w15 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w16,w16,#31 + eor w17,w17,w3 + eor w25,w20,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + eor w17,w17,w9 + eor w25,w25,w24 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + eor w17,w17,w14 + add w20,w20,w16 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w17,w17,#31 + eor w19,w19,w4 + eor w25,w24,w22 + ror w27,w21,#27 + add w24,w24,w28 // future e+=K + eor w19,w19,w10 + eor w25,w25,w23 + add w20,w20,w27 // e+=rot(a,5) + ror w22,w22,#2 + eor w19,w19,w15 + add w24,w24,w17 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w19,w19,#31 + eor w3,w3,w5 + eor w25,w23,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + eor w3,w3,w11 + eor w25,w25,w22 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + eor w3,w3,w16 + add w23,w23,w19 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w3,w3,#31 + eor w4,w4,w6 + eor w25,w22,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + eor w4,w4,w12 + eor w25,w25,w21 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + eor w4,w4,w17 + add w22,w22,w3 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w4,w4,#31 + eor w5,w5,w7 + eor w25,w21,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + eor w5,w5,w13 + eor w25,w25,w20 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + eor w5,w5,w19 + add w21,w21,w4 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w5,w5,#31 + eor w6,w6,w8 + eor w25,w20,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + eor w6,w6,w14 + eor w25,w25,w24 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + eor w6,w6,w3 + add w20,w20,w5 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w6,w6,#31 + eor w7,w7,w9 + eor w25,w24,w22 + ror w27,w21,#27 + add w24,w24,w28 // future e+=K + eor w7,w7,w15 + eor w25,w25,w23 + add w20,w20,w27 // e+=rot(a,5) + ror w22,w22,#2 + eor w7,w7,w4 + add w24,w24,w6 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w7,w7,#31 + eor w8,w8,w10 + eor w25,w23,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + eor w8,w8,w16 + eor w25,w25,w22 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + eor w8,w8,w5 + add w23,w23,w7 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w8,w8,#31 + eor w9,w9,w11 + eor w25,w22,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + eor w9,w9,w17 + eor w25,w25,w21 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + eor w9,w9,w6 + add w22,w22,w8 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w9,w9,#31 + eor w10,w10,w12 + eor w25,w21,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + eor w10,w10,w19 + eor w25,w25,w20 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + eor w10,w10,w7 + add w21,w21,w9 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w10,w10,#31 + eor w11,w11,w13 + eor w25,w20,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + eor w11,w11,w3 + eor w25,w25,w24 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + eor w11,w11,w8 + add w20,w20,w10 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w11,w11,#31 + movz w28,#0xbcdc + movk w28,#0x8f1b,lsl#16 + eor w12,w12,w14 + eor w25,w24,w22 + ror w27,w21,#27 + add w24,w24,w28 // future e+=K + eor w12,w12,w4 + eor w25,w25,w23 + add w20,w20,w27 // e+=rot(a,5) + ror w22,w22,#2 + eor w12,w12,w9 + add w24,w24,w11 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w12,w12,#31 + orr w25,w21,w22 + and w26,w21,w22 + eor w13,w13,w15 + ror w27,w20,#27 + and w25,w25,w23 + add w23,w23,w28 // future e+=K + eor w13,w13,w5 + add w24,w24,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w21,w21,#2 + eor w13,w13,w10 + add w23,w23,w12 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w13,w13,#31 + orr w25,w20,w21 + and w26,w20,w21 + eor w14,w14,w16 + ror w27,w24,#27 + and w25,w25,w22 + add w22,w22,w28 // future e+=K + eor w14,w14,w6 + add w23,w23,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w20,w20,#2 + eor w14,w14,w11 + add w22,w22,w13 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w14,w14,#31 + orr w25,w24,w20 + and w26,w24,w20 + eor w15,w15,w17 + ror w27,w23,#27 + and w25,w25,w21 + add w21,w21,w28 // future e+=K + eor w15,w15,w7 + add w22,w22,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w24,w24,#2 + eor w15,w15,w12 + add w21,w21,w14 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w15,w15,#31 + orr w25,w23,w24 + and w26,w23,w24 + eor w16,w16,w19 + ror w27,w22,#27 + and w25,w25,w20 + add w20,w20,w28 // future e+=K + eor w16,w16,w8 + add w21,w21,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w23,w23,#2 + eor w16,w16,w13 + add w20,w20,w15 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w16,w16,#31 + orr w25,w22,w23 + and w26,w22,w23 + eor w17,w17,w3 + ror w27,w21,#27 + and w25,w25,w24 + add w24,w24,w28 // future e+=K + eor w17,w17,w9 + add w20,w20,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w22,w22,#2 + eor w17,w17,w14 + add w24,w24,w16 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w17,w17,#31 + orr w25,w21,w22 + and w26,w21,w22 + eor w19,w19,w4 + ror w27,w20,#27 + and w25,w25,w23 + add w23,w23,w28 // future e+=K + eor w19,w19,w10 + add w24,w24,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w21,w21,#2 + eor w19,w19,w15 + add w23,w23,w17 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w19,w19,#31 + orr w25,w20,w21 + and w26,w20,w21 + eor w3,w3,w5 + ror w27,w24,#27 + and w25,w25,w22 + add w22,w22,w28 // future e+=K + eor w3,w3,w11 + add w23,w23,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w20,w20,#2 + eor w3,w3,w16 + add w22,w22,w19 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w3,w3,#31 + orr w25,w24,w20 + and w26,w24,w20 + eor w4,w4,w6 + ror w27,w23,#27 + and w25,w25,w21 + add w21,w21,w28 // future e+=K + eor w4,w4,w12 + add w22,w22,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w24,w24,#2 + eor w4,w4,w17 + add w21,w21,w3 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w4,w4,#31 + orr w25,w23,w24 + and w26,w23,w24 + eor w5,w5,w7 + ror w27,w22,#27 + and w25,w25,w20 + add w20,w20,w28 // future e+=K + eor w5,w5,w13 + add w21,w21,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w23,w23,#2 + eor w5,w5,w19 + add w20,w20,w4 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w5,w5,#31 + orr w25,w22,w23 + and w26,w22,w23 + eor w6,w6,w8 + ror w27,w21,#27 + and w25,w25,w24 + add w24,w24,w28 // future e+=K + eor w6,w6,w14 + add w20,w20,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w22,w22,#2 + eor w6,w6,w3 + add w24,w24,w5 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w6,w6,#31 + orr w25,w21,w22 + and w26,w21,w22 + eor w7,w7,w9 + ror w27,w20,#27 + and w25,w25,w23 + add w23,w23,w28 // future e+=K + eor w7,w7,w15 + add w24,w24,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w21,w21,#2 + eor w7,w7,w4 + add w23,w23,w6 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w7,w7,#31 + orr w25,w20,w21 + and w26,w20,w21 + eor w8,w8,w10 + ror w27,w24,#27 + and w25,w25,w22 + add w22,w22,w28 // future e+=K + eor w8,w8,w16 + add w23,w23,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w20,w20,#2 + eor w8,w8,w5 + add w22,w22,w7 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w8,w8,#31 + orr w25,w24,w20 + and w26,w24,w20 + eor w9,w9,w11 + ror w27,w23,#27 + and w25,w25,w21 + add w21,w21,w28 // future e+=K + eor w9,w9,w17 + add w22,w22,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w24,w24,#2 + eor w9,w9,w6 + add w21,w21,w8 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w9,w9,#31 + orr w25,w23,w24 + and w26,w23,w24 + eor w10,w10,w12 + ror w27,w22,#27 + and w25,w25,w20 + add w20,w20,w28 // future e+=K + eor w10,w10,w19 + add w21,w21,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w23,w23,#2 + eor w10,w10,w7 + add w20,w20,w9 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w10,w10,#31 + orr w25,w22,w23 + and w26,w22,w23 + eor w11,w11,w13 + ror w27,w21,#27 + and w25,w25,w24 + add w24,w24,w28 // future e+=K + eor w11,w11,w3 + add w20,w20,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w22,w22,#2 + eor w11,w11,w8 + add w24,w24,w10 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w11,w11,#31 + orr w25,w21,w22 + and w26,w21,w22 + eor w12,w12,w14 + ror w27,w20,#27 + and w25,w25,w23 + add w23,w23,w28 // future e+=K + eor w12,w12,w4 + add w24,w24,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w21,w21,#2 + eor w12,w12,w9 + add w23,w23,w11 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w12,w12,#31 + orr w25,w20,w21 + and w26,w20,w21 + eor w13,w13,w15 + ror w27,w24,#27 + and w25,w25,w22 + add w22,w22,w28 // future e+=K + eor w13,w13,w5 + add w23,w23,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w20,w20,#2 + eor w13,w13,w10 + add w22,w22,w12 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w13,w13,#31 + orr w25,w24,w20 + and w26,w24,w20 + eor w14,w14,w16 + ror w27,w23,#27 + and w25,w25,w21 + add w21,w21,w28 // future e+=K + eor w14,w14,w6 + add w22,w22,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w24,w24,#2 + eor w14,w14,w11 + add w21,w21,w13 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w14,w14,#31 + orr w25,w23,w24 + and w26,w23,w24 + eor w15,w15,w17 + ror w27,w22,#27 + and w25,w25,w20 + add w20,w20,w28 // future e+=K + eor w15,w15,w7 + add w21,w21,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w23,w23,#2 + eor w15,w15,w12 + add w20,w20,w14 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w15,w15,#31 + movz w28,#0xc1d6 + movk w28,#0xca62,lsl#16 + orr w25,w22,w23 + and w26,w22,w23 + eor w16,w16,w19 + ror w27,w21,#27 + and w25,w25,w24 + add w24,w24,w28 // future e+=K + eor w16,w16,w8 + add w20,w20,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w22,w22,#2 + eor w16,w16,w13 + add w24,w24,w15 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w16,w16,#31 + eor w17,w17,w3 + eor w25,w23,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + eor w17,w17,w9 + eor w25,w25,w22 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + eor w17,w17,w14 + add w23,w23,w16 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w17,w17,#31 + eor w19,w19,w4 + eor w25,w22,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + eor w19,w19,w10 + eor w25,w25,w21 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + eor w19,w19,w15 + add w22,w22,w17 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w19,w19,#31 + eor w3,w3,w5 + eor w25,w21,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + eor w3,w3,w11 + eor w25,w25,w20 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + eor w3,w3,w16 + add w21,w21,w19 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w3,w3,#31 + eor w4,w4,w6 + eor w25,w20,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + eor w4,w4,w12 + eor w25,w25,w24 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + eor w4,w4,w17 + add w20,w20,w3 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w4,w4,#31 + eor w5,w5,w7 + eor w25,w24,w22 + ror w27,w21,#27 + add w24,w24,w28 // future e+=K + eor w5,w5,w13 + eor w25,w25,w23 + add w20,w20,w27 // e+=rot(a,5) + ror w22,w22,#2 + eor w5,w5,w19 + add w24,w24,w4 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w5,w5,#31 + eor w6,w6,w8 + eor w25,w23,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + eor w6,w6,w14 + eor w25,w25,w22 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + eor w6,w6,w3 + add w23,w23,w5 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w6,w6,#31 + eor w7,w7,w9 + eor w25,w22,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + eor w7,w7,w15 + eor w25,w25,w21 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + eor w7,w7,w4 + add w22,w22,w6 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w7,w7,#31 + eor w8,w8,w10 + eor w25,w21,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + eor w8,w8,w16 + eor w25,w25,w20 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + eor w8,w8,w5 + add w21,w21,w7 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w8,w8,#31 + eor w9,w9,w11 + eor w25,w20,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + eor w9,w9,w17 + eor w25,w25,w24 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + eor w9,w9,w6 + add w20,w20,w8 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w9,w9,#31 + eor w10,w10,w12 + eor w25,w24,w22 + ror w27,w21,#27 + add w24,w24,w28 // future e+=K + eor w10,w10,w19 + eor w25,w25,w23 + add w20,w20,w27 // e+=rot(a,5) + ror w22,w22,#2 + eor w10,w10,w7 + add w24,w24,w9 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w10,w10,#31 + eor w11,w11,w13 + eor w25,w23,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + eor w11,w11,w3 + eor w25,w25,w22 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + eor w11,w11,w8 + add w23,w23,w10 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w11,w11,#31 + eor w12,w12,w14 + eor w25,w22,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + eor w12,w12,w4 + eor w25,w25,w21 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + eor w12,w12,w9 + add w22,w22,w11 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w12,w12,#31 + eor w13,w13,w15 + eor w25,w21,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + eor w13,w13,w5 + eor w25,w25,w20 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + eor w13,w13,w10 + add w21,w21,w12 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w13,w13,#31 + eor w14,w14,w16 + eor w25,w20,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + eor w14,w14,w6 + eor w25,w25,w24 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + eor w14,w14,w11 + add w20,w20,w13 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w14,w14,#31 + eor w15,w15,w17 + eor w25,w24,w22 + ror w27,w21,#27 + add w24,w24,w28 // future e+=K + eor w15,w15,w7 + eor w25,w25,w23 + add w20,w20,w27 // e+=rot(a,5) + ror w22,w22,#2 + eor w15,w15,w12 + add w24,w24,w14 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w15,w15,#31 + eor w16,w16,w19 + eor w25,w23,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + eor w16,w16,w8 + eor w25,w25,w22 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + eor w16,w16,w13 + add w23,w23,w15 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w16,w16,#31 + eor w17,w17,w3 + eor w25,w22,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + eor w17,w17,w9 + eor w25,w25,w21 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + eor w17,w17,w14 + add w22,w22,w16 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w17,w17,#31 + eor w19,w19,w4 + eor w25,w21,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + eor w19,w19,w10 + eor w25,w25,w20 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + eor w19,w19,w15 + add w21,w21,w17 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w19,w19,#31 + ldp w4,w5,[x0] + eor w25,w20,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + eor w25,w25,w24 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + add w20,w20,w19 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ldp w6,w7,[x0,#8] + eor w25,w24,w22 + ror w27,w21,#27 + eor w25,w25,w23 + add w20,w20,w27 // e+=rot(a,5) + ror w22,w22,#2 + ldr w8,[x0,#16] + add w20,w20,w25 // e+=F(b,c,d) + add w21,w21,w5 + add w22,w22,w6 + add w20,w20,w4 + add w23,w23,w7 + add w24,w24,w8 + stp w20,w21,[x0] + stp w22,w23,[x0,#8] + str w24,[x0,#16] + cbnz x2,Loop + + ldp x19,x20,[sp,#2*__SIZEOF_POINTER__] + ldp x21,x22,[sp,#4*__SIZEOF_POINTER__] + ldp x23,x24,[sp,#6*__SIZEOF_POINTER__] + ldp x25,x26,[sp,#8*__SIZEOF_POINTER__] + ldp x27,x28,[sp,#10*__SIZEOF_POINTER__] + ldr x29,[sp],#12*__SIZEOF_POINTER__ + ret + + +.align 6 +_crypton_sha1_asm_block_armv8: +Lv8_entry: + stp x29,x30,[sp,#-16]! + add x29,sp,#0 + + adr x4,Lconst + eor v1.16b,v1.16b,v1.16b + ld1 {v0.4s},[x0],#16 + ld1 {v1.s}[0],[x0] + sub x0,x0,#16 + ld1 {v16.4s,v17.4s,v18.4s,v19.4s},[x4] + +Loop_hw: + ld1 {v4.16b,v5.16b,v6.16b,v7.16b},[x1],#64 + sub x2,x2,#1 + rev32 v4.16b,v4.16b + rev32 v5.16b,v5.16b + + add v20.4s,v16.4s,v4.4s + rev32 v6.16b,v6.16b + orr v22.16b,v0.16b,v0.16b // offload + + add v21.4s,v16.4s,v5.4s + rev32 v7.16b,v7.16b +.long 0x5e280803 //sha1h v3.16b,v0.16b +.long 0x5e140020 //sha1c v0.16b,v1.16b,v20.4s // 0 + add v20.4s,v16.4s,v6.4s +.long 0x5e0630a4 //sha1su0 v4.16b,v5.16b,v6.16b +.long 0x5e280802 //sha1h v2.16b,v0.16b // 1 +.long 0x5e150060 //sha1c v0.16b,v3.16b,v21.4s + add v21.4s,v16.4s,v7.4s +.long 0x5e2818e4 //sha1su1 v4.16b,v7.16b +.long 0x5e0730c5 //sha1su0 v5.16b,v6.16b,v7.16b +.long 0x5e280803 //sha1h v3.16b,v0.16b // 2 +.long 0x5e140040 //sha1c v0.16b,v2.16b,v20.4s + add v20.4s,v16.4s,v4.4s +.long 0x5e281885 //sha1su1 v5.16b,v4.16b +.long 0x5e0430e6 //sha1su0 v6.16b,v7.16b,v4.16b +.long 0x5e280802 //sha1h v2.16b,v0.16b // 3 +.long 0x5e150060 //sha1c v0.16b,v3.16b,v21.4s + add v21.4s,v17.4s,v5.4s +.long 0x5e2818a6 //sha1su1 v6.16b,v5.16b +.long 0x5e053087 //sha1su0 v7.16b,v4.16b,v5.16b +.long 0x5e280803 //sha1h v3.16b,v0.16b // 4 +.long 0x5e140040 //sha1c v0.16b,v2.16b,v20.4s + add v20.4s,v17.4s,v6.4s +.long 0x5e2818c7 //sha1su1 v7.16b,v6.16b +.long 0x5e0630a4 //sha1su0 v4.16b,v5.16b,v6.16b +.long 0x5e280802 //sha1h v2.16b,v0.16b // 5 +.long 0x5e151060 //sha1p v0.16b,v3.16b,v21.4s + add v21.4s,v17.4s,v7.4s +.long 0x5e2818e4 //sha1su1 v4.16b,v7.16b +.long 0x5e0730c5 //sha1su0 v5.16b,v6.16b,v7.16b +.long 0x5e280803 //sha1h v3.16b,v0.16b // 6 +.long 0x5e141040 //sha1p v0.16b,v2.16b,v20.4s + add v20.4s,v17.4s,v4.4s +.long 0x5e281885 //sha1su1 v5.16b,v4.16b +.long 0x5e0430e6 //sha1su0 v6.16b,v7.16b,v4.16b +.long 0x5e280802 //sha1h v2.16b,v0.16b // 7 +.long 0x5e151060 //sha1p v0.16b,v3.16b,v21.4s + add v21.4s,v17.4s,v5.4s +.long 0x5e2818a6 //sha1su1 v6.16b,v5.16b +.long 0x5e053087 //sha1su0 v7.16b,v4.16b,v5.16b +.long 0x5e280803 //sha1h v3.16b,v0.16b // 8 +.long 0x5e141040 //sha1p v0.16b,v2.16b,v20.4s + add v20.4s,v18.4s,v6.4s +.long 0x5e2818c7 //sha1su1 v7.16b,v6.16b +.long 0x5e0630a4 //sha1su0 v4.16b,v5.16b,v6.16b +.long 0x5e280802 //sha1h v2.16b,v0.16b // 9 +.long 0x5e151060 //sha1p v0.16b,v3.16b,v21.4s + add v21.4s,v18.4s,v7.4s +.long 0x5e2818e4 //sha1su1 v4.16b,v7.16b +.long 0x5e0730c5 //sha1su0 v5.16b,v6.16b,v7.16b +.long 0x5e280803 //sha1h v3.16b,v0.16b // 10 +.long 0x5e142040 //sha1m v0.16b,v2.16b,v20.4s + add v20.4s,v18.4s,v4.4s +.long 0x5e281885 //sha1su1 v5.16b,v4.16b +.long 0x5e0430e6 //sha1su0 v6.16b,v7.16b,v4.16b +.long 0x5e280802 //sha1h v2.16b,v0.16b // 11 +.long 0x5e152060 //sha1m v0.16b,v3.16b,v21.4s + add v21.4s,v18.4s,v5.4s +.long 0x5e2818a6 //sha1su1 v6.16b,v5.16b +.long 0x5e053087 //sha1su0 v7.16b,v4.16b,v5.16b +.long 0x5e280803 //sha1h v3.16b,v0.16b // 12 +.long 0x5e142040 //sha1m v0.16b,v2.16b,v20.4s + add v20.4s,v18.4s,v6.4s +.long 0x5e2818c7 //sha1su1 v7.16b,v6.16b +.long 0x5e0630a4 //sha1su0 v4.16b,v5.16b,v6.16b +.long 0x5e280802 //sha1h v2.16b,v0.16b // 13 +.long 0x5e152060 //sha1m v0.16b,v3.16b,v21.4s + add v21.4s,v19.4s,v7.4s +.long 0x5e2818e4 //sha1su1 v4.16b,v7.16b +.long 0x5e0730c5 //sha1su0 v5.16b,v6.16b,v7.16b +.long 0x5e280803 //sha1h v3.16b,v0.16b // 14 +.long 0x5e142040 //sha1m v0.16b,v2.16b,v20.4s + add v20.4s,v19.4s,v4.4s +.long 0x5e281885 //sha1su1 v5.16b,v4.16b +.long 0x5e0430e6 //sha1su0 v6.16b,v7.16b,v4.16b +.long 0x5e280802 //sha1h v2.16b,v0.16b // 15 +.long 0x5e151060 //sha1p v0.16b,v3.16b,v21.4s + add v21.4s,v19.4s,v5.4s +.long 0x5e2818a6 //sha1su1 v6.16b,v5.16b +.long 0x5e053087 //sha1su0 v7.16b,v4.16b,v5.16b +.long 0x5e280803 //sha1h v3.16b,v0.16b // 16 +.long 0x5e141040 //sha1p v0.16b,v2.16b,v20.4s + add v20.4s,v19.4s,v6.4s +.long 0x5e2818c7 //sha1su1 v7.16b,v6.16b +.long 0x5e280802 //sha1h v2.16b,v0.16b // 17 +.long 0x5e151060 //sha1p v0.16b,v3.16b,v21.4s + add v21.4s,v19.4s,v7.4s + +.long 0x5e280803 //sha1h v3.16b,v0.16b // 18 +.long 0x5e141040 //sha1p v0.16b,v2.16b,v20.4s + +.long 0x5e280802 //sha1h v2.16b,v0.16b // 19 +.long 0x5e151060 //sha1p v0.16b,v3.16b,v21.4s + + add v1.4s,v1.4s,v2.4s + add v0.4s,v0.4s,v22.4s + + cbnz x2,Loop_hw + + st1 {v0.4s},[x0],#16 + st1 {v1.s}[0],[x0] + + ldr x29,[sp],#16 + ret + +.align 6 +Lconst: +.long 0x5a827999,0x5a827999,0x5a827999,0x5a827999 //K_00_19 +.long 0x6ed9eba1,0x6ed9eba1,0x6ed9eba1,0x6ed9eba1 //K_20_39 +.long 0x8f1bbcdc,0x8f1bbcdc,0x8f1bbcdc,0x8f1bbcdc //K_40_59 +.long 0xca62c1d6,0xca62c1d6,0xca62c1d6,0xca62c1d6 //K_60_79 +.byte 83,72,65,49,32,98,108,111,99,107,32,116,114,97,110,115,102,111,114,109,32,102,111,114,32,65,82,77,118,56,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.align 2 +.align 2 +#if !defined(__KERNELL__) && !defined(_WIN64) +.comm __crypton_armcap_P,4 +.private_extern _crypton_armcap_P +#endif diff --git a/cbits/asm/sha1-armv8-linux64.S b/cbits/asm/sha1-armv8-linux64.S new file mode 100644 --- /dev/null +++ b/cbits/asm/sha1-armv8-linux64.S @@ -0,0 +1,1218 @@ +#ifndef __KERNEL__ +# include "arm_arch.h" + +#else +.globl crypton_sha1_asm_block_armv8 +#endif + +.text + +.globl crypton_sha1_asm_block_data_order +.type crypton_sha1_asm_block_data_order,%function +.align 6 +crypton_sha1_asm_block_data_order: + adrp x16,crypton_armcap_P + ldr w16,[x16,#:lo12:crypton_armcap_P] + tst w16,#ARMV8_SHA1 + b.ne .Lv8_entry + + stp x29,x30,[sp,#-12*__SIZEOF_POINTER__]! + add x29,sp,#0 + stp x19,x20,[sp,#2*__SIZEOF_POINTER__] + stp x21,x22,[sp,#4*__SIZEOF_POINTER__] + stp x23,x24,[sp,#6*__SIZEOF_POINTER__] + stp x25,x26,[sp,#8*__SIZEOF_POINTER__] + stp x27,x28,[sp,#10*__SIZEOF_POINTER__] + + ldp w20,w21,[x0] + ldp w22,w23,[x0,#8] + ldr w24,[x0,#16] + +.Loop: + ldr x3,[x1],#64 + movz w28,#0x7999 + sub x2,x2,#1 + movk w28,#0x5a82,lsl#16 +#ifdef __AARCH64EB__ + ror x3,x3,#32 +#else + rev32 x3,x3 +#endif + add w24,w24,w28 // warm it up + add w24,w24,w3 + lsr x4,x3,#32 + ldur x5,[x1,#-56] + bic w25,w23,w21 + and w26,w22,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + orr w25,w25,w26 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + add w23,w23,w4 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) +#ifdef __AARCH64EB__ + ror x5,x5,#32 +#else + rev32 x5,x5 +#endif + bic w25,w22,w20 + and w26,w21,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + orr w25,w25,w26 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + add w22,w22,w5 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + lsr x6,x5,#32 + ldur x7,[x1,#-48] + bic w25,w21,w24 + and w26,w20,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + orr w25,w25,w26 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + add w21,w21,w6 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) +#ifdef __AARCH64EB__ + ror x7,x7,#32 +#else + rev32 x7,x7 +#endif + bic w25,w20,w23 + and w26,w24,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + orr w25,w25,w26 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + add w20,w20,w7 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + lsr x8,x7,#32 + ldur x9,[x1,#-40] + bic w25,w24,w22 + and w26,w23,w22 + ror w27,w21,#27 + add w24,w24,w28 // future e+=K + orr w25,w25,w26 + add w20,w20,w27 // e+=rot(a,5) + ror w22,w22,#2 + add w24,w24,w8 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) +#ifdef __AARCH64EB__ + ror x9,x9,#32 +#else + rev32 x9,x9 +#endif + bic w25,w23,w21 + and w26,w22,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + orr w25,w25,w26 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + add w23,w23,w9 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + lsr x10,x9,#32 + ldur x11,[x1,#-32] + bic w25,w22,w20 + and w26,w21,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + orr w25,w25,w26 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + add w22,w22,w10 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) +#ifdef __AARCH64EB__ + ror x11,x11,#32 +#else + rev32 x11,x11 +#endif + bic w25,w21,w24 + and w26,w20,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + orr w25,w25,w26 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + add w21,w21,w11 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + lsr x12,x11,#32 + ldur x13,[x1,#-24] + bic w25,w20,w23 + and w26,w24,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + orr w25,w25,w26 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + add w20,w20,w12 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) +#ifdef __AARCH64EB__ + ror x13,x13,#32 +#else + rev32 x13,x13 +#endif + bic w25,w24,w22 + and w26,w23,w22 + ror w27,w21,#27 + add w24,w24,w28 // future e+=K + orr w25,w25,w26 + add w20,w20,w27 // e+=rot(a,5) + ror w22,w22,#2 + add w24,w24,w13 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + lsr x14,x13,#32 + ldur x15,[x1,#-16] + bic w25,w23,w21 + and w26,w22,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + orr w25,w25,w26 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + add w23,w23,w14 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) +#ifdef __AARCH64EB__ + ror x15,x15,#32 +#else + rev32 x15,x15 +#endif + bic w25,w22,w20 + and w26,w21,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + orr w25,w25,w26 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + add w22,w22,w15 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + lsr x16,x15,#32 + ldur x17,[x1,#-8] + bic w25,w21,w24 + and w26,w20,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + orr w25,w25,w26 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + add w21,w21,w16 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) +#ifdef __AARCH64EB__ + ror x17,x17,#32 +#else + rev32 x17,x17 +#endif + bic w25,w20,w23 + and w26,w24,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + orr w25,w25,w26 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + add w20,w20,w17 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + lsr x19,x17,#32 + eor w3,w3,w5 + bic w25,w24,w22 + and w26,w23,w22 + ror w27,w21,#27 + eor w3,w3,w11 + add w24,w24,w28 // future e+=K + orr w25,w25,w26 + add w20,w20,w27 // e+=rot(a,5) + eor w3,w3,w16 + ror w22,w22,#2 + add w24,w24,w19 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w3,w3,#31 + eor w4,w4,w6 + bic w25,w23,w21 + and w26,w22,w21 + ror w27,w20,#27 + eor w4,w4,w12 + add w23,w23,w28 // future e+=K + orr w25,w25,w26 + add w24,w24,w27 // e+=rot(a,5) + eor w4,w4,w17 + ror w21,w21,#2 + add w23,w23,w3 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w4,w4,#31 + eor w5,w5,w7 + bic w25,w22,w20 + and w26,w21,w20 + ror w27,w24,#27 + eor w5,w5,w13 + add w22,w22,w28 // future e+=K + orr w25,w25,w26 + add w23,w23,w27 // e+=rot(a,5) + eor w5,w5,w19 + ror w20,w20,#2 + add w22,w22,w4 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w5,w5,#31 + eor w6,w6,w8 + bic w25,w21,w24 + and w26,w20,w24 + ror w27,w23,#27 + eor w6,w6,w14 + add w21,w21,w28 // future e+=K + orr w25,w25,w26 + add w22,w22,w27 // e+=rot(a,5) + eor w6,w6,w3 + ror w24,w24,#2 + add w21,w21,w5 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w6,w6,#31 + eor w7,w7,w9 + bic w25,w20,w23 + and w26,w24,w23 + ror w27,w22,#27 + eor w7,w7,w15 + add w20,w20,w28 // future e+=K + orr w25,w25,w26 + add w21,w21,w27 // e+=rot(a,5) + eor w7,w7,w4 + ror w23,w23,#2 + add w20,w20,w6 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w7,w7,#31 + movz w28,#0xeba1 + movk w28,#0x6ed9,lsl#16 + eor w8,w8,w10 + bic w25,w24,w22 + and w26,w23,w22 + ror w27,w21,#27 + eor w8,w8,w16 + add w24,w24,w28 // future e+=K + orr w25,w25,w26 + add w20,w20,w27 // e+=rot(a,5) + eor w8,w8,w5 + ror w22,w22,#2 + add w24,w24,w7 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w8,w8,#31 + eor w9,w9,w11 + eor w25,w23,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + eor w9,w9,w17 + eor w25,w25,w22 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + eor w9,w9,w6 + add w23,w23,w8 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w9,w9,#31 + eor w10,w10,w12 + eor w25,w22,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + eor w10,w10,w19 + eor w25,w25,w21 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + eor w10,w10,w7 + add w22,w22,w9 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w10,w10,#31 + eor w11,w11,w13 + eor w25,w21,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + eor w11,w11,w3 + eor w25,w25,w20 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + eor w11,w11,w8 + add w21,w21,w10 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w11,w11,#31 + eor w12,w12,w14 + eor w25,w20,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + eor w12,w12,w4 + eor w25,w25,w24 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + eor w12,w12,w9 + add w20,w20,w11 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w12,w12,#31 + eor w13,w13,w15 + eor w25,w24,w22 + ror w27,w21,#27 + add w24,w24,w28 // future e+=K + eor w13,w13,w5 + eor w25,w25,w23 + add w20,w20,w27 // e+=rot(a,5) + ror w22,w22,#2 + eor w13,w13,w10 + add w24,w24,w12 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w13,w13,#31 + eor w14,w14,w16 + eor w25,w23,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + eor w14,w14,w6 + eor w25,w25,w22 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + eor w14,w14,w11 + add w23,w23,w13 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w14,w14,#31 + eor w15,w15,w17 + eor w25,w22,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + eor w15,w15,w7 + eor w25,w25,w21 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + eor w15,w15,w12 + add w22,w22,w14 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w15,w15,#31 + eor w16,w16,w19 + eor w25,w21,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + eor w16,w16,w8 + eor w25,w25,w20 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + eor w16,w16,w13 + add w21,w21,w15 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w16,w16,#31 + eor w17,w17,w3 + eor w25,w20,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + eor w17,w17,w9 + eor w25,w25,w24 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + eor w17,w17,w14 + add w20,w20,w16 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w17,w17,#31 + eor w19,w19,w4 + eor w25,w24,w22 + ror w27,w21,#27 + add w24,w24,w28 // future e+=K + eor w19,w19,w10 + eor w25,w25,w23 + add w20,w20,w27 // e+=rot(a,5) + ror w22,w22,#2 + eor w19,w19,w15 + add w24,w24,w17 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w19,w19,#31 + eor w3,w3,w5 + eor w25,w23,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + eor w3,w3,w11 + eor w25,w25,w22 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + eor w3,w3,w16 + add w23,w23,w19 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w3,w3,#31 + eor w4,w4,w6 + eor w25,w22,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + eor w4,w4,w12 + eor w25,w25,w21 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + eor w4,w4,w17 + add w22,w22,w3 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w4,w4,#31 + eor w5,w5,w7 + eor w25,w21,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + eor w5,w5,w13 + eor w25,w25,w20 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + eor w5,w5,w19 + add w21,w21,w4 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w5,w5,#31 + eor w6,w6,w8 + eor w25,w20,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + eor w6,w6,w14 + eor w25,w25,w24 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + eor w6,w6,w3 + add w20,w20,w5 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w6,w6,#31 + eor w7,w7,w9 + eor w25,w24,w22 + ror w27,w21,#27 + add w24,w24,w28 // future e+=K + eor w7,w7,w15 + eor w25,w25,w23 + add w20,w20,w27 // e+=rot(a,5) + ror w22,w22,#2 + eor w7,w7,w4 + add w24,w24,w6 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w7,w7,#31 + eor w8,w8,w10 + eor w25,w23,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + eor w8,w8,w16 + eor w25,w25,w22 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + eor w8,w8,w5 + add w23,w23,w7 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w8,w8,#31 + eor w9,w9,w11 + eor w25,w22,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + eor w9,w9,w17 + eor w25,w25,w21 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + eor w9,w9,w6 + add w22,w22,w8 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w9,w9,#31 + eor w10,w10,w12 + eor w25,w21,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + eor w10,w10,w19 + eor w25,w25,w20 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + eor w10,w10,w7 + add w21,w21,w9 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w10,w10,#31 + eor w11,w11,w13 + eor w25,w20,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + eor w11,w11,w3 + eor w25,w25,w24 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + eor w11,w11,w8 + add w20,w20,w10 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w11,w11,#31 + movz w28,#0xbcdc + movk w28,#0x8f1b,lsl#16 + eor w12,w12,w14 + eor w25,w24,w22 + ror w27,w21,#27 + add w24,w24,w28 // future e+=K + eor w12,w12,w4 + eor w25,w25,w23 + add w20,w20,w27 // e+=rot(a,5) + ror w22,w22,#2 + eor w12,w12,w9 + add w24,w24,w11 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w12,w12,#31 + orr w25,w21,w22 + and w26,w21,w22 + eor w13,w13,w15 + ror w27,w20,#27 + and w25,w25,w23 + add w23,w23,w28 // future e+=K + eor w13,w13,w5 + add w24,w24,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w21,w21,#2 + eor w13,w13,w10 + add w23,w23,w12 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w13,w13,#31 + orr w25,w20,w21 + and w26,w20,w21 + eor w14,w14,w16 + ror w27,w24,#27 + and w25,w25,w22 + add w22,w22,w28 // future e+=K + eor w14,w14,w6 + add w23,w23,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w20,w20,#2 + eor w14,w14,w11 + add w22,w22,w13 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w14,w14,#31 + orr w25,w24,w20 + and w26,w24,w20 + eor w15,w15,w17 + ror w27,w23,#27 + and w25,w25,w21 + add w21,w21,w28 // future e+=K + eor w15,w15,w7 + add w22,w22,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w24,w24,#2 + eor w15,w15,w12 + add w21,w21,w14 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w15,w15,#31 + orr w25,w23,w24 + and w26,w23,w24 + eor w16,w16,w19 + ror w27,w22,#27 + and w25,w25,w20 + add w20,w20,w28 // future e+=K + eor w16,w16,w8 + add w21,w21,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w23,w23,#2 + eor w16,w16,w13 + add w20,w20,w15 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w16,w16,#31 + orr w25,w22,w23 + and w26,w22,w23 + eor w17,w17,w3 + ror w27,w21,#27 + and w25,w25,w24 + add w24,w24,w28 // future e+=K + eor w17,w17,w9 + add w20,w20,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w22,w22,#2 + eor w17,w17,w14 + add w24,w24,w16 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w17,w17,#31 + orr w25,w21,w22 + and w26,w21,w22 + eor w19,w19,w4 + ror w27,w20,#27 + and w25,w25,w23 + add w23,w23,w28 // future e+=K + eor w19,w19,w10 + add w24,w24,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w21,w21,#2 + eor w19,w19,w15 + add w23,w23,w17 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w19,w19,#31 + orr w25,w20,w21 + and w26,w20,w21 + eor w3,w3,w5 + ror w27,w24,#27 + and w25,w25,w22 + add w22,w22,w28 // future e+=K + eor w3,w3,w11 + add w23,w23,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w20,w20,#2 + eor w3,w3,w16 + add w22,w22,w19 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w3,w3,#31 + orr w25,w24,w20 + and w26,w24,w20 + eor w4,w4,w6 + ror w27,w23,#27 + and w25,w25,w21 + add w21,w21,w28 // future e+=K + eor w4,w4,w12 + add w22,w22,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w24,w24,#2 + eor w4,w4,w17 + add w21,w21,w3 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w4,w4,#31 + orr w25,w23,w24 + and w26,w23,w24 + eor w5,w5,w7 + ror w27,w22,#27 + and w25,w25,w20 + add w20,w20,w28 // future e+=K + eor w5,w5,w13 + add w21,w21,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w23,w23,#2 + eor w5,w5,w19 + add w20,w20,w4 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w5,w5,#31 + orr w25,w22,w23 + and w26,w22,w23 + eor w6,w6,w8 + ror w27,w21,#27 + and w25,w25,w24 + add w24,w24,w28 // future e+=K + eor w6,w6,w14 + add w20,w20,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w22,w22,#2 + eor w6,w6,w3 + add w24,w24,w5 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w6,w6,#31 + orr w25,w21,w22 + and w26,w21,w22 + eor w7,w7,w9 + ror w27,w20,#27 + and w25,w25,w23 + add w23,w23,w28 // future e+=K + eor w7,w7,w15 + add w24,w24,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w21,w21,#2 + eor w7,w7,w4 + add w23,w23,w6 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w7,w7,#31 + orr w25,w20,w21 + and w26,w20,w21 + eor w8,w8,w10 + ror w27,w24,#27 + and w25,w25,w22 + add w22,w22,w28 // future e+=K + eor w8,w8,w16 + add w23,w23,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w20,w20,#2 + eor w8,w8,w5 + add w22,w22,w7 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w8,w8,#31 + orr w25,w24,w20 + and w26,w24,w20 + eor w9,w9,w11 + ror w27,w23,#27 + and w25,w25,w21 + add w21,w21,w28 // future e+=K + eor w9,w9,w17 + add w22,w22,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w24,w24,#2 + eor w9,w9,w6 + add w21,w21,w8 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w9,w9,#31 + orr w25,w23,w24 + and w26,w23,w24 + eor w10,w10,w12 + ror w27,w22,#27 + and w25,w25,w20 + add w20,w20,w28 // future e+=K + eor w10,w10,w19 + add w21,w21,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w23,w23,#2 + eor w10,w10,w7 + add w20,w20,w9 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w10,w10,#31 + orr w25,w22,w23 + and w26,w22,w23 + eor w11,w11,w13 + ror w27,w21,#27 + and w25,w25,w24 + add w24,w24,w28 // future e+=K + eor w11,w11,w3 + add w20,w20,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w22,w22,#2 + eor w11,w11,w8 + add w24,w24,w10 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w11,w11,#31 + orr w25,w21,w22 + and w26,w21,w22 + eor w12,w12,w14 + ror w27,w20,#27 + and w25,w25,w23 + add w23,w23,w28 // future e+=K + eor w12,w12,w4 + add w24,w24,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w21,w21,#2 + eor w12,w12,w9 + add w23,w23,w11 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w12,w12,#31 + orr w25,w20,w21 + and w26,w20,w21 + eor w13,w13,w15 + ror w27,w24,#27 + and w25,w25,w22 + add w22,w22,w28 // future e+=K + eor w13,w13,w5 + add w23,w23,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w20,w20,#2 + eor w13,w13,w10 + add w22,w22,w12 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w13,w13,#31 + orr w25,w24,w20 + and w26,w24,w20 + eor w14,w14,w16 + ror w27,w23,#27 + and w25,w25,w21 + add w21,w21,w28 // future e+=K + eor w14,w14,w6 + add w22,w22,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w24,w24,#2 + eor w14,w14,w11 + add w21,w21,w13 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w14,w14,#31 + orr w25,w23,w24 + and w26,w23,w24 + eor w15,w15,w17 + ror w27,w22,#27 + and w25,w25,w20 + add w20,w20,w28 // future e+=K + eor w15,w15,w7 + add w21,w21,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w23,w23,#2 + eor w15,w15,w12 + add w20,w20,w14 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w15,w15,#31 + movz w28,#0xc1d6 + movk w28,#0xca62,lsl#16 + orr w25,w22,w23 + and w26,w22,w23 + eor w16,w16,w19 + ror w27,w21,#27 + and w25,w25,w24 + add w24,w24,w28 // future e+=K + eor w16,w16,w8 + add w20,w20,w27 // e+=rot(a,5) + orr w25,w25,w26 + ror w22,w22,#2 + eor w16,w16,w13 + add w24,w24,w15 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w16,w16,#31 + eor w17,w17,w3 + eor w25,w23,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + eor w17,w17,w9 + eor w25,w25,w22 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + eor w17,w17,w14 + add w23,w23,w16 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w17,w17,#31 + eor w19,w19,w4 + eor w25,w22,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + eor w19,w19,w10 + eor w25,w25,w21 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + eor w19,w19,w15 + add w22,w22,w17 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w19,w19,#31 + eor w3,w3,w5 + eor w25,w21,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + eor w3,w3,w11 + eor w25,w25,w20 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + eor w3,w3,w16 + add w21,w21,w19 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w3,w3,#31 + eor w4,w4,w6 + eor w25,w20,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + eor w4,w4,w12 + eor w25,w25,w24 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + eor w4,w4,w17 + add w20,w20,w3 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w4,w4,#31 + eor w5,w5,w7 + eor w25,w24,w22 + ror w27,w21,#27 + add w24,w24,w28 // future e+=K + eor w5,w5,w13 + eor w25,w25,w23 + add w20,w20,w27 // e+=rot(a,5) + ror w22,w22,#2 + eor w5,w5,w19 + add w24,w24,w4 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w5,w5,#31 + eor w6,w6,w8 + eor w25,w23,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + eor w6,w6,w14 + eor w25,w25,w22 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + eor w6,w6,w3 + add w23,w23,w5 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w6,w6,#31 + eor w7,w7,w9 + eor w25,w22,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + eor w7,w7,w15 + eor w25,w25,w21 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + eor w7,w7,w4 + add w22,w22,w6 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w7,w7,#31 + eor w8,w8,w10 + eor w25,w21,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + eor w8,w8,w16 + eor w25,w25,w20 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + eor w8,w8,w5 + add w21,w21,w7 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w8,w8,#31 + eor w9,w9,w11 + eor w25,w20,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + eor w9,w9,w17 + eor w25,w25,w24 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + eor w9,w9,w6 + add w20,w20,w8 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w9,w9,#31 + eor w10,w10,w12 + eor w25,w24,w22 + ror w27,w21,#27 + add w24,w24,w28 // future e+=K + eor w10,w10,w19 + eor w25,w25,w23 + add w20,w20,w27 // e+=rot(a,5) + ror w22,w22,#2 + eor w10,w10,w7 + add w24,w24,w9 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w10,w10,#31 + eor w11,w11,w13 + eor w25,w23,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + eor w11,w11,w3 + eor w25,w25,w22 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + eor w11,w11,w8 + add w23,w23,w10 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w11,w11,#31 + eor w12,w12,w14 + eor w25,w22,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + eor w12,w12,w4 + eor w25,w25,w21 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + eor w12,w12,w9 + add w22,w22,w11 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w12,w12,#31 + eor w13,w13,w15 + eor w25,w21,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + eor w13,w13,w5 + eor w25,w25,w20 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + eor w13,w13,w10 + add w21,w21,w12 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w13,w13,#31 + eor w14,w14,w16 + eor w25,w20,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + eor w14,w14,w6 + eor w25,w25,w24 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + eor w14,w14,w11 + add w20,w20,w13 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ror w14,w14,#31 + eor w15,w15,w17 + eor w25,w24,w22 + ror w27,w21,#27 + add w24,w24,w28 // future e+=K + eor w15,w15,w7 + eor w25,w25,w23 + add w20,w20,w27 // e+=rot(a,5) + ror w22,w22,#2 + eor w15,w15,w12 + add w24,w24,w14 // future e+=X[i] + add w20,w20,w25 // e+=F(b,c,d) + ror w15,w15,#31 + eor w16,w16,w19 + eor w25,w23,w21 + ror w27,w20,#27 + add w23,w23,w28 // future e+=K + eor w16,w16,w8 + eor w25,w25,w22 + add w24,w24,w27 // e+=rot(a,5) + ror w21,w21,#2 + eor w16,w16,w13 + add w23,w23,w15 // future e+=X[i] + add w24,w24,w25 // e+=F(b,c,d) + ror w16,w16,#31 + eor w17,w17,w3 + eor w25,w22,w20 + ror w27,w24,#27 + add w22,w22,w28 // future e+=K + eor w17,w17,w9 + eor w25,w25,w21 + add w23,w23,w27 // e+=rot(a,5) + ror w20,w20,#2 + eor w17,w17,w14 + add w22,w22,w16 // future e+=X[i] + add w23,w23,w25 // e+=F(b,c,d) + ror w17,w17,#31 + eor w19,w19,w4 + eor w25,w21,w24 + ror w27,w23,#27 + add w21,w21,w28 // future e+=K + eor w19,w19,w10 + eor w25,w25,w20 + add w22,w22,w27 // e+=rot(a,5) + ror w24,w24,#2 + eor w19,w19,w15 + add w21,w21,w17 // future e+=X[i] + add w22,w22,w25 // e+=F(b,c,d) + ror w19,w19,#31 + ldp w4,w5,[x0] + eor w25,w20,w23 + ror w27,w22,#27 + add w20,w20,w28 // future e+=K + eor w25,w25,w24 + add w21,w21,w27 // e+=rot(a,5) + ror w23,w23,#2 + add w20,w20,w19 // future e+=X[i] + add w21,w21,w25 // e+=F(b,c,d) + ldp w6,w7,[x0,#8] + eor w25,w24,w22 + ror w27,w21,#27 + eor w25,w25,w23 + add w20,w20,w27 // e+=rot(a,5) + ror w22,w22,#2 + ldr w8,[x0,#16] + add w20,w20,w25 // e+=F(b,c,d) + add w21,w21,w5 + add w22,w22,w6 + add w20,w20,w4 + add w23,w23,w7 + add w24,w24,w8 + stp w20,w21,[x0] + stp w22,w23,[x0,#8] + str w24,[x0,#16] + cbnz x2,.Loop + + ldp x19,x20,[sp,#2*__SIZEOF_POINTER__] + ldp x21,x22,[sp,#4*__SIZEOF_POINTER__] + ldp x23,x24,[sp,#6*__SIZEOF_POINTER__] + ldp x25,x26,[sp,#8*__SIZEOF_POINTER__] + ldp x27,x28,[sp,#10*__SIZEOF_POINTER__] + ldr x29,[sp],#12*__SIZEOF_POINTER__ + ret +.size crypton_sha1_asm_block_data_order,.-crypton_sha1_asm_block_data_order +.type crypton_sha1_asm_block_armv8,%function +.align 6 +crypton_sha1_asm_block_armv8: +.Lv8_entry: + stp x29,x30,[sp,#-16]! + add x29,sp,#0 + + adr x4,.Lconst + eor v1.16b,v1.16b,v1.16b + ld1 {v0.4s},[x0],#16 + ld1 {v1.s}[0],[x0] + sub x0,x0,#16 + ld1 {v16.4s,v17.4s,v18.4s,v19.4s},[x4] + +.Loop_hw: + ld1 {v4.16b,v5.16b,v6.16b,v7.16b},[x1],#64 + sub x2,x2,#1 + rev32 v4.16b,v4.16b + rev32 v5.16b,v5.16b + + add v20.4s,v16.4s,v4.4s + rev32 v6.16b,v6.16b + orr v22.16b,v0.16b,v0.16b // offload + + add v21.4s,v16.4s,v5.4s + rev32 v7.16b,v7.16b +.inst 0x5e280803 //sha1h v3.16b,v0.16b +.inst 0x5e140020 //sha1c v0.16b,v1.16b,v20.4s // 0 + add v20.4s,v16.4s,v6.4s +.inst 0x5e0630a4 //sha1su0 v4.16b,v5.16b,v6.16b +.inst 0x5e280802 //sha1h v2.16b,v0.16b // 1 +.inst 0x5e150060 //sha1c v0.16b,v3.16b,v21.4s + add v21.4s,v16.4s,v7.4s +.inst 0x5e2818e4 //sha1su1 v4.16b,v7.16b +.inst 0x5e0730c5 //sha1su0 v5.16b,v6.16b,v7.16b +.inst 0x5e280803 //sha1h v3.16b,v0.16b // 2 +.inst 0x5e140040 //sha1c v0.16b,v2.16b,v20.4s + add v20.4s,v16.4s,v4.4s +.inst 0x5e281885 //sha1su1 v5.16b,v4.16b +.inst 0x5e0430e6 //sha1su0 v6.16b,v7.16b,v4.16b +.inst 0x5e280802 //sha1h v2.16b,v0.16b // 3 +.inst 0x5e150060 //sha1c v0.16b,v3.16b,v21.4s + add v21.4s,v17.4s,v5.4s +.inst 0x5e2818a6 //sha1su1 v6.16b,v5.16b +.inst 0x5e053087 //sha1su0 v7.16b,v4.16b,v5.16b +.inst 0x5e280803 //sha1h v3.16b,v0.16b // 4 +.inst 0x5e140040 //sha1c v0.16b,v2.16b,v20.4s + add v20.4s,v17.4s,v6.4s +.inst 0x5e2818c7 //sha1su1 v7.16b,v6.16b +.inst 0x5e0630a4 //sha1su0 v4.16b,v5.16b,v6.16b +.inst 0x5e280802 //sha1h v2.16b,v0.16b // 5 +.inst 0x5e151060 //sha1p v0.16b,v3.16b,v21.4s + add v21.4s,v17.4s,v7.4s +.inst 0x5e2818e4 //sha1su1 v4.16b,v7.16b +.inst 0x5e0730c5 //sha1su0 v5.16b,v6.16b,v7.16b +.inst 0x5e280803 //sha1h v3.16b,v0.16b // 6 +.inst 0x5e141040 //sha1p v0.16b,v2.16b,v20.4s + add v20.4s,v17.4s,v4.4s +.inst 0x5e281885 //sha1su1 v5.16b,v4.16b +.inst 0x5e0430e6 //sha1su0 v6.16b,v7.16b,v4.16b +.inst 0x5e280802 //sha1h v2.16b,v0.16b // 7 +.inst 0x5e151060 //sha1p v0.16b,v3.16b,v21.4s + add v21.4s,v17.4s,v5.4s +.inst 0x5e2818a6 //sha1su1 v6.16b,v5.16b +.inst 0x5e053087 //sha1su0 v7.16b,v4.16b,v5.16b +.inst 0x5e280803 //sha1h v3.16b,v0.16b // 8 +.inst 0x5e141040 //sha1p v0.16b,v2.16b,v20.4s + add v20.4s,v18.4s,v6.4s +.inst 0x5e2818c7 //sha1su1 v7.16b,v6.16b +.inst 0x5e0630a4 //sha1su0 v4.16b,v5.16b,v6.16b +.inst 0x5e280802 //sha1h v2.16b,v0.16b // 9 +.inst 0x5e151060 //sha1p v0.16b,v3.16b,v21.4s + add v21.4s,v18.4s,v7.4s +.inst 0x5e2818e4 //sha1su1 v4.16b,v7.16b +.inst 0x5e0730c5 //sha1su0 v5.16b,v6.16b,v7.16b +.inst 0x5e280803 //sha1h v3.16b,v0.16b // 10 +.inst 0x5e142040 //sha1m v0.16b,v2.16b,v20.4s + add v20.4s,v18.4s,v4.4s +.inst 0x5e281885 //sha1su1 v5.16b,v4.16b +.inst 0x5e0430e6 //sha1su0 v6.16b,v7.16b,v4.16b +.inst 0x5e280802 //sha1h v2.16b,v0.16b // 11 +.inst 0x5e152060 //sha1m v0.16b,v3.16b,v21.4s + add v21.4s,v18.4s,v5.4s +.inst 0x5e2818a6 //sha1su1 v6.16b,v5.16b +.inst 0x5e053087 //sha1su0 v7.16b,v4.16b,v5.16b +.inst 0x5e280803 //sha1h v3.16b,v0.16b // 12 +.inst 0x5e142040 //sha1m v0.16b,v2.16b,v20.4s + add v20.4s,v18.4s,v6.4s +.inst 0x5e2818c7 //sha1su1 v7.16b,v6.16b +.inst 0x5e0630a4 //sha1su0 v4.16b,v5.16b,v6.16b +.inst 0x5e280802 //sha1h v2.16b,v0.16b // 13 +.inst 0x5e152060 //sha1m v0.16b,v3.16b,v21.4s + add v21.4s,v19.4s,v7.4s +.inst 0x5e2818e4 //sha1su1 v4.16b,v7.16b +.inst 0x5e0730c5 //sha1su0 v5.16b,v6.16b,v7.16b +.inst 0x5e280803 //sha1h v3.16b,v0.16b // 14 +.inst 0x5e142040 //sha1m v0.16b,v2.16b,v20.4s + add v20.4s,v19.4s,v4.4s +.inst 0x5e281885 //sha1su1 v5.16b,v4.16b +.inst 0x5e0430e6 //sha1su0 v6.16b,v7.16b,v4.16b +.inst 0x5e280802 //sha1h v2.16b,v0.16b // 15 +.inst 0x5e151060 //sha1p v0.16b,v3.16b,v21.4s + add v21.4s,v19.4s,v5.4s +.inst 0x5e2818a6 //sha1su1 v6.16b,v5.16b +.inst 0x5e053087 //sha1su0 v7.16b,v4.16b,v5.16b +.inst 0x5e280803 //sha1h v3.16b,v0.16b // 16 +.inst 0x5e141040 //sha1p v0.16b,v2.16b,v20.4s + add v20.4s,v19.4s,v6.4s +.inst 0x5e2818c7 //sha1su1 v7.16b,v6.16b +.inst 0x5e280802 //sha1h v2.16b,v0.16b // 17 +.inst 0x5e151060 //sha1p v0.16b,v3.16b,v21.4s + add v21.4s,v19.4s,v7.4s + +.inst 0x5e280803 //sha1h v3.16b,v0.16b // 18 +.inst 0x5e141040 //sha1p v0.16b,v2.16b,v20.4s + +.inst 0x5e280802 //sha1h v2.16b,v0.16b // 19 +.inst 0x5e151060 //sha1p v0.16b,v3.16b,v21.4s + + add v1.4s,v1.4s,v2.4s + add v0.4s,v0.4s,v22.4s + + cbnz x2,.Loop_hw + + st1 {v0.4s},[x0],#16 + st1 {v1.s}[0],[x0] + + ldr x29,[sp],#16 + ret +.size crypton_sha1_asm_block_armv8,.-crypton_sha1_asm_block_armv8 +.align 6 +.Lconst: +.long 0x5a827999,0x5a827999,0x5a827999,0x5a827999 //K_00_19 +.long 0x6ed9eba1,0x6ed9eba1,0x6ed9eba1,0x6ed9eba1 //K_20_39 +.long 0x8f1bbcdc,0x8f1bbcdc,0x8f1bbcdc,0x8f1bbcdc //K_40_59 +.long 0xca62c1d6,0xca62c1d6,0xca62c1d6,0xca62c1d6 //K_60_79 +.byte 83,72,65,49,32,98,108,111,99,107,32,116,114,97,110,115,102,111,114,109,32,102,111,114,32,65,82,77,118,56,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.align 2 +.align 2 +#if !defined(__KERNELL__) && !defined(_WIN64) +.comm crypton_armcap_P,4,4 +.hidden crypton_armcap_P +#endif + +.section .note.GNU-stack,"",%progbits diff --git a/cbits/asm/sha1-armv8.pl b/cbits/asm/sha1-armv8.pl new file mode 100644 --- /dev/null +++ b/cbits/asm/sha1-armv8.pl @@ -0,0 +1,362 @@ +#!/usr/bin/env perl +# +# ==================================================================== +# Written by Andy Polyakov, @dot-asm, initially for the OpenSSL +# project. +# ==================================================================== +# +# SHA1 for ARMv8. +# +# Performance in cycles per processed byte and improvement coefficient +# over code generated with "default" compiler: +# +# hardware-assisted software(*) +# Apple A7 2.31 4.13 (+14%) +# Apple A10 1.61 +# Apple A14/M1 1.32 3.82 (-13%)(***) +# Cortex-A53 2.24 8.03 (+97%) +# Cortex-A57 2.35 7.88 (+74%) +# Cortex-A76 1.64 5.20 +# Cortex-X2 1.63 4.07 +# Cortex-X925 1.64 3.81 +# Denver 2.13 3.97 (+0%)(**) +# X-Gene 8.80 (+200%) +# Mongoose 2.05 6.50 (+160%) +# Kryo 1.88 8.00 (+90%) +# ThunderX2 2.64 6.36 (+150%) +# Snapdraon X 1.48 3.82 +# +# (*) Software results are presented mostly for reference purposes. +# (**) Keep in mind that Denver relies on binary translation, which +# optimizes compiler output at run-time. +# (***) There is some room for improvement on "extra-wide" processor +# such as A14/M1. Nothing is done, because it's not used anyway. + +$flavour = shift; +$output = shift; + +if ($flavour && $flavour ne "void") { + $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; + ( $xlate="${dir}arm-xlate.pl" and -f $xlate ) or + ( $xlate="${dir}../../perlasm/arm-xlate.pl" and -f $xlate) or + die "can't locate arm-xlate.pl"; + + open STDOUT,"| \"$^X\" $xlate $flavour $output"; +} else { + open STDOUT,">$output"; +} + +($ctx,$inp,$num)=("x0","x1","x2"); +@Xw=map("w$_",(3..17,19)); +@Xx=map("x$_",(3..17,19)); +@V=($A,$B,$C,$D,$E)=map("w$_",(20..24)); +($t0,$t1,$t2,$K)=map("w$_",(25..28)); + + +sub BODY_00_19 { +my ($i,$a,$b,$c,$d,$e)=@_; +my $j=($i+2)&15; + +$code.=<<___ if ($i<15 && !($i&1)); + lsr @Xx[$i+1],@Xx[$i],#32 +___ +$code.=<<___ if ($i<14 && !($i&1)); + ldur @Xx[$i+2],[$inp,#`($i+2)*4-64`] +___ +$code.=<<___ if ($i<14 && ($i&1)); +#ifdef __AARCH64EB__ + ror @Xx[$i+1],@Xx[$i+1],#32 +#else + rev32 @Xx[$i+1],@Xx[$i+1] +#endif +___ +$code.=<<___ if ($i<14); + bic $t0,$d,$b + and $t1,$c,$b + ror $t2,$a,#27 + add $d,$d,$K // future e+=K + orr $t0,$t0,$t1 + add $e,$e,$t2 // e+=rot(a,5) + ror $b,$b,#2 + add $d,$d,@Xw[($i+1)&15] // future e+=X[i] + add $e,$e,$t0 // e+=F(b,c,d) +___ +$code.=<<___ if ($i==19); + movz $K,#0xeba1 + movk $K,#0x6ed9,lsl#16 +___ +$code.=<<___ if ($i>=14); + eor @Xw[$j],@Xw[$j],@Xw[($j+2)&15] + bic $t0,$d,$b + and $t1,$c,$b + ror $t2,$a,#27 + eor @Xw[$j],@Xw[$j],@Xw[($j+8)&15] + add $d,$d,$K // future e+=K + orr $t0,$t0,$t1 + add $e,$e,$t2 // e+=rot(a,5) + eor @Xw[$j],@Xw[$j],@Xw[($j+13)&15] + ror $b,$b,#2 + add $d,$d,@Xw[($i+1)&15] // future e+=X[i] + add $e,$e,$t0 // e+=F(b,c,d) + ror @Xw[$j],@Xw[$j],#31 +___ +} + +sub BODY_40_59 { +my ($i,$a,$b,$c,$d,$e)=@_; +my $j=($i+2)&15; + +$code.=<<___ if ($i==59); + movz $K,#0xc1d6 + movk $K,#0xca62,lsl#16 +___ +$code.=<<___; + orr $t0,$b,$c + and $t1,$b,$c + eor @Xw[$j],@Xw[$j],@Xw[($j+2)&15] + ror $t2,$a,#27 + and $t0,$t0,$d + add $d,$d,$K // future e+=K + eor @Xw[$j],@Xw[$j],@Xw[($j+8)&15] + add $e,$e,$t2 // e+=rot(a,5) + orr $t0,$t0,$t1 + ror $b,$b,#2 + eor @Xw[$j],@Xw[$j],@Xw[($j+13)&15] + add $d,$d,@Xw[($i+1)&15] // future e+=X[i] + add $e,$e,$t0 // e+=F(b,c,d) + ror @Xw[$j],@Xw[$j],#31 +___ +} + +sub BODY_20_39 { +my ($i,$a,$b,$c,$d,$e)=@_; +my $j=($i+2)&15; + +$code.=<<___ if ($i==39); + movz $K,#0xbcdc + movk $K,#0x8f1b,lsl#16 +___ +$code.=<<___ if ($i<78); + eor @Xw[$j],@Xw[$j],@Xw[($j+2)&15] + eor $t0,$d,$b + ror $t2,$a,#27 + add $d,$d,$K // future e+=K + eor @Xw[$j],@Xw[$j],@Xw[($j+8)&15] + eor $t0,$t0,$c + add $e,$e,$t2 // e+=rot(a,5) + ror $b,$b,#2 + eor @Xw[$j],@Xw[$j],@Xw[($j+13)&15] + add $d,$d,@Xw[($i+1)&15] // future e+=X[i] + add $e,$e,$t0 // e+=F(b,c,d) + ror @Xw[$j],@Xw[$j],#31 +___ +$code.=<<___ if ($i==78); + ldp @Xw[1],@Xw[2],[$ctx] + eor $t0,$d,$b + ror $t2,$a,#27 + add $d,$d,$K // future e+=K + eor $t0,$t0,$c + add $e,$e,$t2 // e+=rot(a,5) + ror $b,$b,#2 + add $d,$d,@Xw[($i+1)&15] // future e+=X[i] + add $e,$e,$t0 // e+=F(b,c,d) +___ +$code.=<<___ if ($i==79); + ldp @Xw[3],@Xw[4],[$ctx,#8] + eor $t0,$d,$b + ror $t2,$a,#27 + eor $t0,$t0,$c + add $e,$e,$t2 // e+=rot(a,5) + ror $b,$b,#2 + ldr @Xw[5],[$ctx,#16] + add $e,$e,$t0 // e+=F(b,c,d) +___ +} + +$code.=<<___; +#ifndef __KERNEL__ +# include "arm_arch.h" +.extern OPENSSL_armcap_P +#else +.globl sha1_block_armv8 +#endif + +.text + +.globl sha1_block_data_order +.type sha1_block_data_order,%function +.align 6 +sha1_block_data_order: + adrp c16,OPENSSL_armcap_P + ldr w16,[c16,#:lo12:OPENSSL_armcap_P] + tst w16,#ARMV8_SHA1 + b.ne .Lv8_entry + + stp c29,c30,[csp,#-12*__SIZEOF_POINTER__]! + add c29,csp,#0 + stp c19,c20,[csp,#2*__SIZEOF_POINTER__] + stp c21,c22,[csp,#4*__SIZEOF_POINTER__] + stp c23,c24,[csp,#6*__SIZEOF_POINTER__] + stp c25,c26,[csp,#8*__SIZEOF_POINTER__] + stp c27,c28,[csp,#10*__SIZEOF_POINTER__] + + ldp $A,$B,[$ctx] + ldp $C,$D,[$ctx,#8] + ldr $E,[$ctx,#16] + +.Loop: + ldr @Xx[0],[$inp],#64 + movz $K,#0x7999 + sub $num,$num,#1 + movk $K,#0x5a82,lsl#16 +#ifdef __AARCH64EB__ + ror $Xx[0],@Xx[0],#32 +#else + rev32 @Xx[0],@Xx[0] +#endif + add $E,$E,$K // warm it up + add $E,$E,@Xw[0] +___ +for($i=0;$i<20;$i++) { &BODY_00_19($i,@V); unshift(@V,pop(@V)); } +for(;$i<40;$i++) { &BODY_20_39($i,@V); unshift(@V,pop(@V)); } +for(;$i<60;$i++) { &BODY_40_59($i,@V); unshift(@V,pop(@V)); } +for(;$i<80;$i++) { &BODY_20_39($i,@V); unshift(@V,pop(@V)); } +$code.=<<___; + add $B,$B,@Xw[2] + add $C,$C,@Xw[3] + add $A,$A,@Xw[1] + add $D,$D,@Xw[4] + add $E,$E,@Xw[5] + stp $A,$B,[$ctx] + stp $C,$D,[$ctx,#8] + str $E,[$ctx,#16] + cbnz $num,.Loop + + ldp c19,c20,[csp,#2*__SIZEOF_POINTER__] + ldp c21,c22,[csp,#4*__SIZEOF_POINTER__] + ldp c23,c24,[csp,#6*__SIZEOF_POINTER__] + ldp c25,c26,[csp,#8*__SIZEOF_POINTER__] + ldp c27,c28,[csp,#10*__SIZEOF_POINTER__] + ldr c29,[csp],#12*__SIZEOF_POINTER__ + ret +.size sha1_block_data_order,.-sha1_block_data_order +___ +{{{ +my ($ABCD,$E,$E0,$E1)=map("v$_.16b",(0..3)); +my @MSG=map("v$_.16b",(4..7)); +my @Kxx=map("v$_.4s",(16..19)); +my ($W0,$W1)=("v20.4s","v21.4s"); +my $ABCD_SAVE="v22.16b"; + +$code.=<<___; +.type sha1_block_armv8,%function +.align 6 +sha1_block_armv8: +.Lv8_entry: + stp x29,x30,[sp,#-16]! + add x29,sp,#0 + + adr x4,.Lconst + eor $E,$E,$E + ld1.32 {$ABCD},[$ctx],#16 + ld1.32 {$E}[0],[$ctx] + csub $ctx,$ctx,#16 + ld1.32 {@Kxx[0]-@Kxx[3]},[x4] + +.Loop_hw: + ld1 {@MSG[0]-@MSG[3]},[$inp],#64 + sub $num,$num,#1 + rev32 @MSG[0],@MSG[0] + rev32 @MSG[1],@MSG[1] + + add.i32 $W0,@Kxx[0],@MSG[0] + rev32 @MSG[2],@MSG[2] + orr $ABCD_SAVE,$ABCD,$ABCD // offload + + add.i32 $W1,@Kxx[0],@MSG[1] + rev32 @MSG[3],@MSG[3] + sha1h $E1,$ABCD + sha1c $ABCD,$E,$W0 // 0 + add.i32 $W0,@Kxx[$j],@MSG[2] + sha1su0 @MSG[0],@MSG[1],@MSG[2] +___ +for ($j=0,$i=1;$i<20-3;$i++) { +my $f=("c","p","m","p")[$i/5]; +$code.=<<___; + sha1h $E0,$ABCD // $i + sha1$f $ABCD,$E1,$W1 + add.i32 $W1,@Kxx[$j],@MSG[3] + sha1su1 @MSG[0],@MSG[3] +___ +$code.=<<___ if ($i<20-4); + sha1su0 @MSG[1],@MSG[2],@MSG[3] +___ + ($E0,$E1)=($E1,$E0); ($W0,$W1)=($W1,$W0); + push(@MSG,shift(@MSG)); $j++ if ((($i+3)%5)==0); +} +$code.=<<___; + sha1h $E0,$ABCD // $i + sha1p $ABCD,$E1,$W1 + add.i32 $W1,@Kxx[$j],@MSG[3] + + sha1h $E1,$ABCD // 18 + sha1p $ABCD,$E0,$W0 + + sha1h $E0,$ABCD // 19 + sha1p $ABCD,$E1,$W1 + + add.i32 $E,$E,$E0 + add.i32 $ABCD,$ABCD,$ABCD_SAVE + + cbnz $num,.Loop_hw + + st1.32 {$ABCD},[$ctx],#16 + st1.32 {$E}[0],[$ctx] + + ldr x29,[sp],#16 + ret +.size sha1_block_armv8,.-sha1_block_armv8 +.align 6 +.Lconst: +.long 0x5a827999,0x5a827999,0x5a827999,0x5a827999 //K_00_19 +.long 0x6ed9eba1,0x6ed9eba1,0x6ed9eba1,0x6ed9eba1 //K_20_39 +.long 0x8f1bbcdc,0x8f1bbcdc,0x8f1bbcdc,0x8f1bbcdc //K_40_59 +.long 0xca62c1d6,0xca62c1d6,0xca62c1d6,0xca62c1d6 //K_60_79 +.asciz "SHA1 block transform for ARMv8, CRYPTOGAMS by \@dot-asm" +.align 2 +#if !defined(__KERNELL__) && !defined(_WIN64) +.comm OPENSSL_armcap_P,4,4 +.hidden OPENSSL_armcap_P +#endif +___ +}}} + +{ my %opcode = ( + "sha1c" => 0x5e000000, "sha1p" => 0x5e001000, + "sha1m" => 0x5e002000, "sha1su0" => 0x5e003000, + "sha1h" => 0x5e280800, "sha1su1" => 0x5e281800 ); + + sub unsha1 { + my ($mnemonic,$arg)=@_; + + $arg =~ m/[qv]([0-9]+)[^,]*,\s*[qv]([0-9]+)[^,]*(?:,\s*[qv]([0-9]+))?/o + && + sprintf ".inst\t0x%08x\t//%s %s", + $opcode{$mnemonic}|$1|($2<<5)|($3<<16), + $mnemonic,$arg; + } +} + +foreach(split("\n",$code)) { + + s/\`([^\`]*)\`/eval($1)/geo; + + s/\b(sha1\w+)\s+([qv].*)/unsha1($1,$2)/geo; + + s/\.\w?32\b//o and s/\.16b/\.4s/go; + m/(ld|st)1[^\[]+\[0\]/o and s/\.4s/\.s/go; + + print $_,"\n"; +} + +close STDOUT; diff --git a/cbits/asm/sha256-armv8-ios64.S b/cbits/asm/sha256-armv8-ios64.S new file mode 100644 --- /dev/null +++ b/cbits/asm/sha256-armv8-ios64.S @@ -0,0 +1,2051 @@ +// SPDX-License-Identifier: GPL-1.0+ OR BSD-3-Clause +// +// ==================================================================== +// Written by Andy Polyakov, @dot-asm, initially for the OpenSSL +// project. +// ==================================================================== +// +// SHA256/512 for ARMv8. +// +// Performance in cycles per processed byte and improvement coefficient +// over code generated with "default" compiler: +// +// SHA256-hw SHA256(*) SHA512 +// Apple A7 1.97 10.5 (+33%) 6.73 (-1%(**)) +// Apple A10 1.30 5.81 +// Apple A12 1.31 5.06 +// Apple A14/M1 1.30 8.19 (+14%) 2.24 (hw) +// Cortex-A53 2.38 15.5 (+115%) 10.0 (+150%(***)) +// Cortex-A57 2.31 11.6 (+86%) 7.51 (+260%(***)) +// Cortex-A76 1.60 9.5 6.05 +// Cortex-X2 1.60 7.3 2.60 (hw) +// Cortex-X925 1.57 5.97 2.55 (hw) +// Denver 2.01 10.5 (+26%) 6.70 (+8%) +// X-Gene 20.0 (+100%) 12.8 (+300%(***)) +// Mongoose 2.36 13.0 (+50%) 8.36 (+33%) +// Kryo 1.92 17.4 (+30%) 11.2 (+8%) +// ThunderX2 2.54 13.2 (+40%) 8.40 (+18%) +// Shapdragon X 1.40 7.43 2.23 (hw) +// +// (*) Software SHA256 results are of lesser relevance, presented +// mostly for informational purposes. +// (**) The result is a trade-off: it's possible to improve it by +// 10% (or by 1 cycle per round), but at the cost of 20% loss +// on Cortex-A53 (or by 4 cycles per round). +// (***) Super-impressive coefficients over gcc-generated code are +// indication of some compiler "pathology", most notably code +// generated with -mgeneral-regs-only is significantly faster +// and the gap is only 40-90%. +// +// October 2016. +// +// Originally it was reckoned that it makes no sense to implement NEON +// version of SHA256 for 64-bit processors. This is because performance +// improvement on most wide-spread Cortex-A5x processors was observed +// to be marginal, same on Cortex-A53 and ~10% on A57. But then it was +// observed that 32-bit NEON SHA256 performs significantly better than +// 64-bit scalar version on *some* of the more recent processors. As +// result 64-bit NEON version of SHA256 was added to provide best +// all-round performance. For example it executes ~30% faster on X-Gene +// and Mongoose. [For reference, NEON version of SHA512 is bound to +// deliver much less improvement, likely *negative* on Cortex-A5x. +// Which is why NEON support is limited to SHA256.] + +#ifndef __KERNEL__ +# include "arm_arch.h" + +#endif + +.text + +.globl _crypton_sha256_asm_block_data_order + +.align 6 +_crypton_sha256_asm_block_data_order: +#ifndef __KERNEL__ + adrp x16,_crypton_armcap_P@PAGE + ldr w16,[x16,_crypton_armcap_P@PAGEOFF] + tst w16,#ARMV8_SHA256 + b.ne Lv8_entry + tst w16,#ARMV7_NEON + b.ne Lneon_entry +#endif +.long 0xd503233f // paciasp + stp x29,x30,[sp,#-16*__SIZEOF_POINTER__]! + add x29,sp,#0 + + stp x19,x20,[sp,#2*__SIZEOF_POINTER__] + stp x21,x22,[sp,#4*__SIZEOF_POINTER__] + stp x23,x24,[sp,#6*__SIZEOF_POINTER__] + stp x25,x26,[sp,#8*__SIZEOF_POINTER__] + stp x27,x28,[sp,#10*__SIZEOF_POINTER__] + sub sp,sp,#4*4 + + ldp w20,w21,[x0] // load context + ldp w22,w23,[x0,#2*4] + lsl x2,x2,#6 + ldp w24,w25,[x0,#4*4] + add x2,x1,x2 + ldp w26,w27,[x0,#6*4] + adr x30,LK256 + stp x0,x2,[x29,#12*__SIZEOF_POINTER__] + +Loop: + ldp w3,w4,[x1],#2*4 + ldr w19,[x30],#4 // *K++ + eor w28,w21,w22 // magic seed + str x1,[x29,#14*__SIZEOF_POINTER__] +#ifndef __AARCH64EB__ + rev w3,w3 // 0 +#endif + ror w16,w24,#6 + add w27,w27,w19 // h+=K[i] + eor w6,w24,w24,ror#14 + and w17,w25,w24 + bic w19,w26,w24 + add w27,w27,w3 // h+=X[i] + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w20,w21 // a^b, b^c in next round + eor w16,w16,w6,ror#11 // Sigma1(e) + ror w6,w20,#2 + add w27,w27,w17 // h+=Ch(e,f,g) + eor w17,w20,w20,ror#9 + add w27,w27,w16 // h+=Sigma1(e) + and w28,w28,w19 // (b^c)&=(a^b) + add w23,w23,w27 // d+=h + eor w28,w28,w21 // Maj(a,b,c) + eor w17,w6,w17,ror#13 // Sigma0(a) + add w27,w27,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + //add w27,w27,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w4,w4 // 1 +#endif + ldp w5,w6,[x1],#2*4 + add w27,w27,w17 // h+=Sigma0(a) + ror w16,w23,#6 + add w26,w26,w28 // h+=K[i] + eor w7,w23,w23,ror#14 + and w17,w24,w23 + bic w28,w25,w23 + add w26,w26,w4 // h+=X[i] + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w27,w20 // a^b, b^c in next round + eor w16,w16,w7,ror#11 // Sigma1(e) + ror w7,w27,#2 + add w26,w26,w17 // h+=Ch(e,f,g) + eor w17,w27,w27,ror#9 + add w26,w26,w16 // h+=Sigma1(e) + and w19,w19,w28 // (b^c)&=(a^b) + add w22,w22,w26 // d+=h + eor w19,w19,w20 // Maj(a,b,c) + eor w17,w7,w17,ror#13 // Sigma0(a) + add w26,w26,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + //add w26,w26,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w5,w5 // 2 +#endif + add w26,w26,w17 // h+=Sigma0(a) + ror w16,w22,#6 + add w25,w25,w19 // h+=K[i] + eor w8,w22,w22,ror#14 + and w17,w23,w22 + bic w19,w24,w22 + add w25,w25,w5 // h+=X[i] + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w26,w27 // a^b, b^c in next round + eor w16,w16,w8,ror#11 // Sigma1(e) + ror w8,w26,#2 + add w25,w25,w17 // h+=Ch(e,f,g) + eor w17,w26,w26,ror#9 + add w25,w25,w16 // h+=Sigma1(e) + and w28,w28,w19 // (b^c)&=(a^b) + add w21,w21,w25 // d+=h + eor w28,w28,w27 // Maj(a,b,c) + eor w17,w8,w17,ror#13 // Sigma0(a) + add w25,w25,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + //add w25,w25,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w6,w6 // 3 +#endif + ldp w7,w8,[x1],#2*4 + add w25,w25,w17 // h+=Sigma0(a) + ror w16,w21,#6 + add w24,w24,w28 // h+=K[i] + eor w9,w21,w21,ror#14 + and w17,w22,w21 + bic w28,w23,w21 + add w24,w24,w6 // h+=X[i] + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w25,w26 // a^b, b^c in next round + eor w16,w16,w9,ror#11 // Sigma1(e) + ror w9,w25,#2 + add w24,w24,w17 // h+=Ch(e,f,g) + eor w17,w25,w25,ror#9 + add w24,w24,w16 // h+=Sigma1(e) + and w19,w19,w28 // (b^c)&=(a^b) + add w20,w20,w24 // d+=h + eor w19,w19,w26 // Maj(a,b,c) + eor w17,w9,w17,ror#13 // Sigma0(a) + add w24,w24,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + //add w24,w24,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w7,w7 // 4 +#endif + add w24,w24,w17 // h+=Sigma0(a) + ror w16,w20,#6 + add w23,w23,w19 // h+=K[i] + eor w10,w20,w20,ror#14 + and w17,w21,w20 + bic w19,w22,w20 + add w23,w23,w7 // h+=X[i] + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w24,w25 // a^b, b^c in next round + eor w16,w16,w10,ror#11 // Sigma1(e) + ror w10,w24,#2 + add w23,w23,w17 // h+=Ch(e,f,g) + eor w17,w24,w24,ror#9 + add w23,w23,w16 // h+=Sigma1(e) + and w28,w28,w19 // (b^c)&=(a^b) + add w27,w27,w23 // d+=h + eor w28,w28,w25 // Maj(a,b,c) + eor w17,w10,w17,ror#13 // Sigma0(a) + add w23,w23,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + //add w23,w23,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w8,w8 // 5 +#endif + ldp w9,w10,[x1],#2*4 + add w23,w23,w17 // h+=Sigma0(a) + ror w16,w27,#6 + add w22,w22,w28 // h+=K[i] + eor w11,w27,w27,ror#14 + and w17,w20,w27 + bic w28,w21,w27 + add w22,w22,w8 // h+=X[i] + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w23,w24 // a^b, b^c in next round + eor w16,w16,w11,ror#11 // Sigma1(e) + ror w11,w23,#2 + add w22,w22,w17 // h+=Ch(e,f,g) + eor w17,w23,w23,ror#9 + add w22,w22,w16 // h+=Sigma1(e) + and w19,w19,w28 // (b^c)&=(a^b) + add w26,w26,w22 // d+=h + eor w19,w19,w24 // Maj(a,b,c) + eor w17,w11,w17,ror#13 // Sigma0(a) + add w22,w22,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + //add w22,w22,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w9,w9 // 6 +#endif + add w22,w22,w17 // h+=Sigma0(a) + ror w16,w26,#6 + add w21,w21,w19 // h+=K[i] + eor w12,w26,w26,ror#14 + and w17,w27,w26 + bic w19,w20,w26 + add w21,w21,w9 // h+=X[i] + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w22,w23 // a^b, b^c in next round + eor w16,w16,w12,ror#11 // Sigma1(e) + ror w12,w22,#2 + add w21,w21,w17 // h+=Ch(e,f,g) + eor w17,w22,w22,ror#9 + add w21,w21,w16 // h+=Sigma1(e) + and w28,w28,w19 // (b^c)&=(a^b) + add w25,w25,w21 // d+=h + eor w28,w28,w23 // Maj(a,b,c) + eor w17,w12,w17,ror#13 // Sigma0(a) + add w21,w21,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + //add w21,w21,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w10,w10 // 7 +#endif + ldp w11,w12,[x1],#2*4 + add w21,w21,w17 // h+=Sigma0(a) + ror w16,w25,#6 + add w20,w20,w28 // h+=K[i] + eor w13,w25,w25,ror#14 + and w17,w26,w25 + bic w28,w27,w25 + add w20,w20,w10 // h+=X[i] + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w21,w22 // a^b, b^c in next round + eor w16,w16,w13,ror#11 // Sigma1(e) + ror w13,w21,#2 + add w20,w20,w17 // h+=Ch(e,f,g) + eor w17,w21,w21,ror#9 + add w20,w20,w16 // h+=Sigma1(e) + and w19,w19,w28 // (b^c)&=(a^b) + add w24,w24,w20 // d+=h + eor w19,w19,w22 // Maj(a,b,c) + eor w17,w13,w17,ror#13 // Sigma0(a) + add w20,w20,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + //add w20,w20,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w11,w11 // 8 +#endif + add w20,w20,w17 // h+=Sigma0(a) + ror w16,w24,#6 + add w27,w27,w19 // h+=K[i] + eor w14,w24,w24,ror#14 + and w17,w25,w24 + bic w19,w26,w24 + add w27,w27,w11 // h+=X[i] + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w20,w21 // a^b, b^c in next round + eor w16,w16,w14,ror#11 // Sigma1(e) + ror w14,w20,#2 + add w27,w27,w17 // h+=Ch(e,f,g) + eor w17,w20,w20,ror#9 + add w27,w27,w16 // h+=Sigma1(e) + and w28,w28,w19 // (b^c)&=(a^b) + add w23,w23,w27 // d+=h + eor w28,w28,w21 // Maj(a,b,c) + eor w17,w14,w17,ror#13 // Sigma0(a) + add w27,w27,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + //add w27,w27,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w12,w12 // 9 +#endif + ldp w13,w14,[x1],#2*4 + add w27,w27,w17 // h+=Sigma0(a) + ror w16,w23,#6 + add w26,w26,w28 // h+=K[i] + eor w15,w23,w23,ror#14 + and w17,w24,w23 + bic w28,w25,w23 + add w26,w26,w12 // h+=X[i] + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w27,w20 // a^b, b^c in next round + eor w16,w16,w15,ror#11 // Sigma1(e) + ror w15,w27,#2 + add w26,w26,w17 // h+=Ch(e,f,g) + eor w17,w27,w27,ror#9 + add w26,w26,w16 // h+=Sigma1(e) + and w19,w19,w28 // (b^c)&=(a^b) + add w22,w22,w26 // d+=h + eor w19,w19,w20 // Maj(a,b,c) + eor w17,w15,w17,ror#13 // Sigma0(a) + add w26,w26,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + //add w26,w26,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w13,w13 // 10 +#endif + add w26,w26,w17 // h+=Sigma0(a) + ror w16,w22,#6 + add w25,w25,w19 // h+=K[i] + eor w0,w22,w22,ror#14 + and w17,w23,w22 + bic w19,w24,w22 + add w25,w25,w13 // h+=X[i] + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w26,w27 // a^b, b^c in next round + eor w16,w16,w0,ror#11 // Sigma1(e) + ror w0,w26,#2 + add w25,w25,w17 // h+=Ch(e,f,g) + eor w17,w26,w26,ror#9 + add w25,w25,w16 // h+=Sigma1(e) + and w28,w28,w19 // (b^c)&=(a^b) + add w21,w21,w25 // d+=h + eor w28,w28,w27 // Maj(a,b,c) + eor w17,w0,w17,ror#13 // Sigma0(a) + add w25,w25,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + //add w25,w25,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w14,w14 // 11 +#endif + ldp w15,w0,[x1],#2*4 + add w25,w25,w17 // h+=Sigma0(a) + str w6,[sp,#12] + ror w16,w21,#6 + add w24,w24,w28 // h+=K[i] + eor w6,w21,w21,ror#14 + and w17,w22,w21 + bic w28,w23,w21 + add w24,w24,w14 // h+=X[i] + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w25,w26 // a^b, b^c in next round + eor w16,w16,w6,ror#11 // Sigma1(e) + ror w6,w25,#2 + add w24,w24,w17 // h+=Ch(e,f,g) + eor w17,w25,w25,ror#9 + add w24,w24,w16 // h+=Sigma1(e) + and w19,w19,w28 // (b^c)&=(a^b) + add w20,w20,w24 // d+=h + eor w19,w19,w26 // Maj(a,b,c) + eor w17,w6,w17,ror#13 // Sigma0(a) + add w24,w24,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + //add w24,w24,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w15,w15 // 12 +#endif + add w24,w24,w17 // h+=Sigma0(a) + str w7,[sp,#0] + ror w16,w20,#6 + add w23,w23,w19 // h+=K[i] + eor w7,w20,w20,ror#14 + and w17,w21,w20 + bic w19,w22,w20 + add w23,w23,w15 // h+=X[i] + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w24,w25 // a^b, b^c in next round + eor w16,w16,w7,ror#11 // Sigma1(e) + ror w7,w24,#2 + add w23,w23,w17 // h+=Ch(e,f,g) + eor w17,w24,w24,ror#9 + add w23,w23,w16 // h+=Sigma1(e) + and w28,w28,w19 // (b^c)&=(a^b) + add w27,w27,w23 // d+=h + eor w28,w28,w25 // Maj(a,b,c) + eor w17,w7,w17,ror#13 // Sigma0(a) + add w23,w23,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + //add w23,w23,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w0,w0 // 13 +#endif + ldp w1,w2,[x1] + add w23,w23,w17 // h+=Sigma0(a) + str w8,[sp,#4] + ror w16,w27,#6 + add w22,w22,w28 // h+=K[i] + eor w8,w27,w27,ror#14 + and w17,w20,w27 + bic w28,w21,w27 + add w22,w22,w0 // h+=X[i] + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w23,w24 // a^b, b^c in next round + eor w16,w16,w8,ror#11 // Sigma1(e) + ror w8,w23,#2 + add w22,w22,w17 // h+=Ch(e,f,g) + eor w17,w23,w23,ror#9 + add w22,w22,w16 // h+=Sigma1(e) + and w19,w19,w28 // (b^c)&=(a^b) + add w26,w26,w22 // d+=h + eor w19,w19,w24 // Maj(a,b,c) + eor w17,w8,w17,ror#13 // Sigma0(a) + add w22,w22,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + //add w22,w22,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w1,w1 // 14 +#endif + ldr w6,[sp,#12] + add w22,w22,w17 // h+=Sigma0(a) + str w9,[sp,#8] + ror w16,w26,#6 + add w21,w21,w19 // h+=K[i] + eor w9,w26,w26,ror#14 + and w17,w27,w26 + bic w19,w20,w26 + add w21,w21,w1 // h+=X[i] + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w22,w23 // a^b, b^c in next round + eor w16,w16,w9,ror#11 // Sigma1(e) + ror w9,w22,#2 + add w21,w21,w17 // h+=Ch(e,f,g) + eor w17,w22,w22,ror#9 + add w21,w21,w16 // h+=Sigma1(e) + and w28,w28,w19 // (b^c)&=(a^b) + add w25,w25,w21 // d+=h + eor w28,w28,w23 // Maj(a,b,c) + eor w17,w9,w17,ror#13 // Sigma0(a) + add w21,w21,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + //add w21,w21,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w2,w2 // 15 +#endif + ldr w7,[sp,#0] + add w21,w21,w17 // h+=Sigma0(a) + str w10,[sp,#12] + ror w16,w25,#6 + add w20,w20,w28 // h+=K[i] + ror w9,w4,#7 + and w17,w26,w25 + ror w8,w1,#17 + bic w28,w27,w25 + ror w10,w21,#2 + add w20,w20,w2 // h+=X[i] + eor w16,w16,w25,ror#11 + eor w9,w9,w4,ror#18 + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w21,w22 // a^b, b^c in next round + eor w16,w16,w25,ror#25 // Sigma1(e) + eor w10,w10,w21,ror#13 + add w20,w20,w17 // h+=Ch(e,f,g) + and w19,w19,w28 // (b^c)&=(a^b) + eor w8,w8,w1,ror#19 + eor w9,w9,w4,lsr#3 // sigma0(X[i+1]) + add w20,w20,w16 // h+=Sigma1(e) + eor w19,w19,w22 // Maj(a,b,c) + eor w17,w10,w21,ror#22 // Sigma0(a) + eor w8,w8,w1,lsr#10 // sigma1(X[i+14]) + add w3,w3,w12 + add w24,w24,w20 // d+=h + add w20,w20,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + add w3,w3,w9 + add w20,w20,w17 // h+=Sigma0(a) + add w3,w3,w8 +Loop_16_xx: + ldr w8,[sp,#4] + str w11,[sp,#0] + ror w16,w24,#6 + add w27,w27,w19 // h+=K[i] + ror w10,w5,#7 + and w17,w25,w24 + ror w9,w2,#17 + bic w19,w26,w24 + ror w11,w20,#2 + add w27,w27,w3 // h+=X[i] + eor w16,w16,w24,ror#11 + eor w10,w10,w5,ror#18 + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w20,w21 // a^b, b^c in next round + eor w16,w16,w24,ror#25 // Sigma1(e) + eor w11,w11,w20,ror#13 + add w27,w27,w17 // h+=Ch(e,f,g) + and w28,w28,w19 // (b^c)&=(a^b) + eor w9,w9,w2,ror#19 + eor w10,w10,w5,lsr#3 // sigma0(X[i+1]) + add w27,w27,w16 // h+=Sigma1(e) + eor w28,w28,w21 // Maj(a,b,c) + eor w17,w11,w20,ror#22 // Sigma0(a) + eor w9,w9,w2,lsr#10 // sigma1(X[i+14]) + add w4,w4,w13 + add w23,w23,w27 // d+=h + add w27,w27,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + add w4,w4,w10 + add w27,w27,w17 // h+=Sigma0(a) + add w4,w4,w9 + ldr w9,[sp,#8] + str w12,[sp,#4] + ror w16,w23,#6 + add w26,w26,w28 // h+=K[i] + ror w11,w6,#7 + and w17,w24,w23 + ror w10,w3,#17 + bic w28,w25,w23 + ror w12,w27,#2 + add w26,w26,w4 // h+=X[i] + eor w16,w16,w23,ror#11 + eor w11,w11,w6,ror#18 + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w27,w20 // a^b, b^c in next round + eor w16,w16,w23,ror#25 // Sigma1(e) + eor w12,w12,w27,ror#13 + add w26,w26,w17 // h+=Ch(e,f,g) + and w19,w19,w28 // (b^c)&=(a^b) + eor w10,w10,w3,ror#19 + eor w11,w11,w6,lsr#3 // sigma0(X[i+1]) + add w26,w26,w16 // h+=Sigma1(e) + eor w19,w19,w20 // Maj(a,b,c) + eor w17,w12,w27,ror#22 // Sigma0(a) + eor w10,w10,w3,lsr#10 // sigma1(X[i+14]) + add w5,w5,w14 + add w22,w22,w26 // d+=h + add w26,w26,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + add w5,w5,w11 + add w26,w26,w17 // h+=Sigma0(a) + add w5,w5,w10 + ldr w10,[sp,#12] + str w13,[sp,#8] + ror w16,w22,#6 + add w25,w25,w19 // h+=K[i] + ror w12,w7,#7 + and w17,w23,w22 + ror w11,w4,#17 + bic w19,w24,w22 + ror w13,w26,#2 + add w25,w25,w5 // h+=X[i] + eor w16,w16,w22,ror#11 + eor w12,w12,w7,ror#18 + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w26,w27 // a^b, b^c in next round + eor w16,w16,w22,ror#25 // Sigma1(e) + eor w13,w13,w26,ror#13 + add w25,w25,w17 // h+=Ch(e,f,g) + and w28,w28,w19 // (b^c)&=(a^b) + eor w11,w11,w4,ror#19 + eor w12,w12,w7,lsr#3 // sigma0(X[i+1]) + add w25,w25,w16 // h+=Sigma1(e) + eor w28,w28,w27 // Maj(a,b,c) + eor w17,w13,w26,ror#22 // Sigma0(a) + eor w11,w11,w4,lsr#10 // sigma1(X[i+14]) + add w6,w6,w15 + add w21,w21,w25 // d+=h + add w25,w25,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + add w6,w6,w12 + add w25,w25,w17 // h+=Sigma0(a) + add w6,w6,w11 + ldr w11,[sp,#0] + str w14,[sp,#12] + ror w16,w21,#6 + add w24,w24,w28 // h+=K[i] + ror w13,w8,#7 + and w17,w22,w21 + ror w12,w5,#17 + bic w28,w23,w21 + ror w14,w25,#2 + add w24,w24,w6 // h+=X[i] + eor w16,w16,w21,ror#11 + eor w13,w13,w8,ror#18 + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w25,w26 // a^b, b^c in next round + eor w16,w16,w21,ror#25 // Sigma1(e) + eor w14,w14,w25,ror#13 + add w24,w24,w17 // h+=Ch(e,f,g) + and w19,w19,w28 // (b^c)&=(a^b) + eor w12,w12,w5,ror#19 + eor w13,w13,w8,lsr#3 // sigma0(X[i+1]) + add w24,w24,w16 // h+=Sigma1(e) + eor w19,w19,w26 // Maj(a,b,c) + eor w17,w14,w25,ror#22 // Sigma0(a) + eor w12,w12,w5,lsr#10 // sigma1(X[i+14]) + add w7,w7,w0 + add w20,w20,w24 // d+=h + add w24,w24,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + add w7,w7,w13 + add w24,w24,w17 // h+=Sigma0(a) + add w7,w7,w12 + ldr w12,[sp,#4] + str w15,[sp,#0] + ror w16,w20,#6 + add w23,w23,w19 // h+=K[i] + ror w14,w9,#7 + and w17,w21,w20 + ror w13,w6,#17 + bic w19,w22,w20 + ror w15,w24,#2 + add w23,w23,w7 // h+=X[i] + eor w16,w16,w20,ror#11 + eor w14,w14,w9,ror#18 + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w24,w25 // a^b, b^c in next round + eor w16,w16,w20,ror#25 // Sigma1(e) + eor w15,w15,w24,ror#13 + add w23,w23,w17 // h+=Ch(e,f,g) + and w28,w28,w19 // (b^c)&=(a^b) + eor w13,w13,w6,ror#19 + eor w14,w14,w9,lsr#3 // sigma0(X[i+1]) + add w23,w23,w16 // h+=Sigma1(e) + eor w28,w28,w25 // Maj(a,b,c) + eor w17,w15,w24,ror#22 // Sigma0(a) + eor w13,w13,w6,lsr#10 // sigma1(X[i+14]) + add w8,w8,w1 + add w27,w27,w23 // d+=h + add w23,w23,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + add w8,w8,w14 + add w23,w23,w17 // h+=Sigma0(a) + add w8,w8,w13 + ldr w13,[sp,#8] + str w0,[sp,#4] + ror w16,w27,#6 + add w22,w22,w28 // h+=K[i] + ror w15,w10,#7 + and w17,w20,w27 + ror w14,w7,#17 + bic w28,w21,w27 + ror w0,w23,#2 + add w22,w22,w8 // h+=X[i] + eor w16,w16,w27,ror#11 + eor w15,w15,w10,ror#18 + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w23,w24 // a^b, b^c in next round + eor w16,w16,w27,ror#25 // Sigma1(e) + eor w0,w0,w23,ror#13 + add w22,w22,w17 // h+=Ch(e,f,g) + and w19,w19,w28 // (b^c)&=(a^b) + eor w14,w14,w7,ror#19 + eor w15,w15,w10,lsr#3 // sigma0(X[i+1]) + add w22,w22,w16 // h+=Sigma1(e) + eor w19,w19,w24 // Maj(a,b,c) + eor w17,w0,w23,ror#22 // Sigma0(a) + eor w14,w14,w7,lsr#10 // sigma1(X[i+14]) + add w9,w9,w2 + add w26,w26,w22 // d+=h + add w22,w22,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + add w9,w9,w15 + add w22,w22,w17 // h+=Sigma0(a) + add w9,w9,w14 + ldr w14,[sp,#12] + str w1,[sp,#8] + ror w16,w26,#6 + add w21,w21,w19 // h+=K[i] + ror w0,w11,#7 + and w17,w27,w26 + ror w15,w8,#17 + bic w19,w20,w26 + ror w1,w22,#2 + add w21,w21,w9 // h+=X[i] + eor w16,w16,w26,ror#11 + eor w0,w0,w11,ror#18 + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w22,w23 // a^b, b^c in next round + eor w16,w16,w26,ror#25 // Sigma1(e) + eor w1,w1,w22,ror#13 + add w21,w21,w17 // h+=Ch(e,f,g) + and w28,w28,w19 // (b^c)&=(a^b) + eor w15,w15,w8,ror#19 + eor w0,w0,w11,lsr#3 // sigma0(X[i+1]) + add w21,w21,w16 // h+=Sigma1(e) + eor w28,w28,w23 // Maj(a,b,c) + eor w17,w1,w22,ror#22 // Sigma0(a) + eor w15,w15,w8,lsr#10 // sigma1(X[i+14]) + add w10,w10,w3 + add w25,w25,w21 // d+=h + add w21,w21,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + add w10,w10,w0 + add w21,w21,w17 // h+=Sigma0(a) + add w10,w10,w15 + ldr w15,[sp,#0] + str w2,[sp,#12] + ror w16,w25,#6 + add w20,w20,w28 // h+=K[i] + ror w1,w12,#7 + and w17,w26,w25 + ror w0,w9,#17 + bic w28,w27,w25 + ror w2,w21,#2 + add w20,w20,w10 // h+=X[i] + eor w16,w16,w25,ror#11 + eor w1,w1,w12,ror#18 + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w21,w22 // a^b, b^c in next round + eor w16,w16,w25,ror#25 // Sigma1(e) + eor w2,w2,w21,ror#13 + add w20,w20,w17 // h+=Ch(e,f,g) + and w19,w19,w28 // (b^c)&=(a^b) + eor w0,w0,w9,ror#19 + eor w1,w1,w12,lsr#3 // sigma0(X[i+1]) + add w20,w20,w16 // h+=Sigma1(e) + eor w19,w19,w22 // Maj(a,b,c) + eor w17,w2,w21,ror#22 // Sigma0(a) + eor w0,w0,w9,lsr#10 // sigma1(X[i+14]) + add w11,w11,w4 + add w24,w24,w20 // d+=h + add w20,w20,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + add w11,w11,w1 + add w20,w20,w17 // h+=Sigma0(a) + add w11,w11,w0 + ldr w0,[sp,#4] + str w3,[sp,#0] + ror w16,w24,#6 + add w27,w27,w19 // h+=K[i] + ror w2,w13,#7 + and w17,w25,w24 + ror w1,w10,#17 + bic w19,w26,w24 + ror w3,w20,#2 + add w27,w27,w11 // h+=X[i] + eor w16,w16,w24,ror#11 + eor w2,w2,w13,ror#18 + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w20,w21 // a^b, b^c in next round + eor w16,w16,w24,ror#25 // Sigma1(e) + eor w3,w3,w20,ror#13 + add w27,w27,w17 // h+=Ch(e,f,g) + and w28,w28,w19 // (b^c)&=(a^b) + eor w1,w1,w10,ror#19 + eor w2,w2,w13,lsr#3 // sigma0(X[i+1]) + add w27,w27,w16 // h+=Sigma1(e) + eor w28,w28,w21 // Maj(a,b,c) + eor w17,w3,w20,ror#22 // Sigma0(a) + eor w1,w1,w10,lsr#10 // sigma1(X[i+14]) + add w12,w12,w5 + add w23,w23,w27 // d+=h + add w27,w27,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + add w12,w12,w2 + add w27,w27,w17 // h+=Sigma0(a) + add w12,w12,w1 + ldr w1,[sp,#8] + str w4,[sp,#4] + ror w16,w23,#6 + add w26,w26,w28 // h+=K[i] + ror w3,w14,#7 + and w17,w24,w23 + ror w2,w11,#17 + bic w28,w25,w23 + ror w4,w27,#2 + add w26,w26,w12 // h+=X[i] + eor w16,w16,w23,ror#11 + eor w3,w3,w14,ror#18 + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w27,w20 // a^b, b^c in next round + eor w16,w16,w23,ror#25 // Sigma1(e) + eor w4,w4,w27,ror#13 + add w26,w26,w17 // h+=Ch(e,f,g) + and w19,w19,w28 // (b^c)&=(a^b) + eor w2,w2,w11,ror#19 + eor w3,w3,w14,lsr#3 // sigma0(X[i+1]) + add w26,w26,w16 // h+=Sigma1(e) + eor w19,w19,w20 // Maj(a,b,c) + eor w17,w4,w27,ror#22 // Sigma0(a) + eor w2,w2,w11,lsr#10 // sigma1(X[i+14]) + add w13,w13,w6 + add w22,w22,w26 // d+=h + add w26,w26,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + add w13,w13,w3 + add w26,w26,w17 // h+=Sigma0(a) + add w13,w13,w2 + ldr w2,[sp,#12] + str w5,[sp,#8] + ror w16,w22,#6 + add w25,w25,w19 // h+=K[i] + ror w4,w15,#7 + and w17,w23,w22 + ror w3,w12,#17 + bic w19,w24,w22 + ror w5,w26,#2 + add w25,w25,w13 // h+=X[i] + eor w16,w16,w22,ror#11 + eor w4,w4,w15,ror#18 + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w26,w27 // a^b, b^c in next round + eor w16,w16,w22,ror#25 // Sigma1(e) + eor w5,w5,w26,ror#13 + add w25,w25,w17 // h+=Ch(e,f,g) + and w28,w28,w19 // (b^c)&=(a^b) + eor w3,w3,w12,ror#19 + eor w4,w4,w15,lsr#3 // sigma0(X[i+1]) + add w25,w25,w16 // h+=Sigma1(e) + eor w28,w28,w27 // Maj(a,b,c) + eor w17,w5,w26,ror#22 // Sigma0(a) + eor w3,w3,w12,lsr#10 // sigma1(X[i+14]) + add w14,w14,w7 + add w21,w21,w25 // d+=h + add w25,w25,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + add w14,w14,w4 + add w25,w25,w17 // h+=Sigma0(a) + add w14,w14,w3 + ldr w3,[sp,#0] + str w6,[sp,#12] + ror w16,w21,#6 + add w24,w24,w28 // h+=K[i] + ror w5,w0,#7 + and w17,w22,w21 + ror w4,w13,#17 + bic w28,w23,w21 + ror w6,w25,#2 + add w24,w24,w14 // h+=X[i] + eor w16,w16,w21,ror#11 + eor w5,w5,w0,ror#18 + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w25,w26 // a^b, b^c in next round + eor w16,w16,w21,ror#25 // Sigma1(e) + eor w6,w6,w25,ror#13 + add w24,w24,w17 // h+=Ch(e,f,g) + and w19,w19,w28 // (b^c)&=(a^b) + eor w4,w4,w13,ror#19 + eor w5,w5,w0,lsr#3 // sigma0(X[i+1]) + add w24,w24,w16 // h+=Sigma1(e) + eor w19,w19,w26 // Maj(a,b,c) + eor w17,w6,w25,ror#22 // Sigma0(a) + eor w4,w4,w13,lsr#10 // sigma1(X[i+14]) + add w15,w15,w8 + add w20,w20,w24 // d+=h + add w24,w24,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + add w15,w15,w5 + add w24,w24,w17 // h+=Sigma0(a) + add w15,w15,w4 + ldr w4,[sp,#4] + str w7,[sp,#0] + ror w16,w20,#6 + add w23,w23,w19 // h+=K[i] + ror w6,w1,#7 + and w17,w21,w20 + ror w5,w14,#17 + bic w19,w22,w20 + ror w7,w24,#2 + add w23,w23,w15 // h+=X[i] + eor w16,w16,w20,ror#11 + eor w6,w6,w1,ror#18 + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w24,w25 // a^b, b^c in next round + eor w16,w16,w20,ror#25 // Sigma1(e) + eor w7,w7,w24,ror#13 + add w23,w23,w17 // h+=Ch(e,f,g) + and w28,w28,w19 // (b^c)&=(a^b) + eor w5,w5,w14,ror#19 + eor w6,w6,w1,lsr#3 // sigma0(X[i+1]) + add w23,w23,w16 // h+=Sigma1(e) + eor w28,w28,w25 // Maj(a,b,c) + eor w17,w7,w24,ror#22 // Sigma0(a) + eor w5,w5,w14,lsr#10 // sigma1(X[i+14]) + add w0,w0,w9 + add w27,w27,w23 // d+=h + add w23,w23,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + add w0,w0,w6 + add w23,w23,w17 // h+=Sigma0(a) + add w0,w0,w5 + ldr w5,[sp,#8] + str w8,[sp,#4] + ror w16,w27,#6 + add w22,w22,w28 // h+=K[i] + ror w7,w2,#7 + and w17,w20,w27 + ror w6,w15,#17 + bic w28,w21,w27 + ror w8,w23,#2 + add w22,w22,w0 // h+=X[i] + eor w16,w16,w27,ror#11 + eor w7,w7,w2,ror#18 + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w23,w24 // a^b, b^c in next round + eor w16,w16,w27,ror#25 // Sigma1(e) + eor w8,w8,w23,ror#13 + add w22,w22,w17 // h+=Ch(e,f,g) + and w19,w19,w28 // (b^c)&=(a^b) + eor w6,w6,w15,ror#19 + eor w7,w7,w2,lsr#3 // sigma0(X[i+1]) + add w22,w22,w16 // h+=Sigma1(e) + eor w19,w19,w24 // Maj(a,b,c) + eor w17,w8,w23,ror#22 // Sigma0(a) + eor w6,w6,w15,lsr#10 // sigma1(X[i+14]) + add w1,w1,w10 + add w26,w26,w22 // d+=h + add w22,w22,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + add w1,w1,w7 + add w22,w22,w17 // h+=Sigma0(a) + add w1,w1,w6 + ldr w6,[sp,#12] + str w9,[sp,#8] + ror w16,w26,#6 + add w21,w21,w19 // h+=K[i] + ror w8,w3,#7 + and w17,w27,w26 + ror w7,w0,#17 + bic w19,w20,w26 + ror w9,w22,#2 + add w21,w21,w1 // h+=X[i] + eor w16,w16,w26,ror#11 + eor w8,w8,w3,ror#18 + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w22,w23 // a^b, b^c in next round + eor w16,w16,w26,ror#25 // Sigma1(e) + eor w9,w9,w22,ror#13 + add w21,w21,w17 // h+=Ch(e,f,g) + and w28,w28,w19 // (b^c)&=(a^b) + eor w7,w7,w0,ror#19 + eor w8,w8,w3,lsr#3 // sigma0(X[i+1]) + add w21,w21,w16 // h+=Sigma1(e) + eor w28,w28,w23 // Maj(a,b,c) + eor w17,w9,w22,ror#22 // Sigma0(a) + eor w7,w7,w0,lsr#10 // sigma1(X[i+14]) + add w2,w2,w11 + add w25,w25,w21 // d+=h + add w21,w21,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + add w2,w2,w8 + add w21,w21,w17 // h+=Sigma0(a) + add w2,w2,w7 + ldr w7,[sp,#0] + str w10,[sp,#12] + ror w16,w25,#6 + add w20,w20,w28 // h+=K[i] + ror w9,w4,#7 + and w17,w26,w25 + ror w8,w1,#17 + bic w28,w27,w25 + ror w10,w21,#2 + add w20,w20,w2 // h+=X[i] + eor w16,w16,w25,ror#11 + eor w9,w9,w4,ror#18 + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w21,w22 // a^b, b^c in next round + eor w16,w16,w25,ror#25 // Sigma1(e) + eor w10,w10,w21,ror#13 + add w20,w20,w17 // h+=Ch(e,f,g) + and w19,w19,w28 // (b^c)&=(a^b) + eor w8,w8,w1,ror#19 + eor w9,w9,w4,lsr#3 // sigma0(X[i+1]) + add w20,w20,w16 // h+=Sigma1(e) + eor w19,w19,w22 // Maj(a,b,c) + eor w17,w10,w21,ror#22 // Sigma0(a) + eor w8,w8,w1,lsr#10 // sigma1(X[i+14]) + add w3,w3,w12 + add w24,w24,w20 // d+=h + add w20,w20,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + add w3,w3,w9 + add w20,w20,w17 // h+=Sigma0(a) + add w3,w3,w8 + cbnz w19,Loop_16_xx + + ldp x0,x2,[x29,#12*__SIZEOF_POINTER__] + ldr x1,[x29,#14*__SIZEOF_POINTER__] + sub x30,x30,#260 + + ldp w3,w4,[x0] + ldp w5,w6,[x0,#2*4] + add x1,x1,#14*4 + ldp w7,w8,[x0,#4*4] + add w20,w20,w3 + ldp w9,w10,[x0,#6*4] + add w21,w21,w4 + add w22,w22,w5 + add w23,w23,w6 + stp w20,w21,[x0] + add w24,w24,w7 + add w25,w25,w8 + stp w22,w23,[x0,#2*4] + add w26,w26,w9 + add w27,w27,w10 + cmp x1,x2 + stp w24,w25,[x0,#4*4] + stp w26,w27,[x0,#6*4] + b.ne Loop + + ldp x19,x20,[x29,#2*__SIZEOF_POINTER__] + add sp,sp,#4*4 + ldp x21,x22,[x29,#4*__SIZEOF_POINTER__] + ldp x23,x24,[x29,#6*__SIZEOF_POINTER__] + ldp x25,x26,[x29,#8*__SIZEOF_POINTER__] + ldp x27,x28,[x29,#10*__SIZEOF_POINTER__] + ldp x29,x30,[sp],#16*__SIZEOF_POINTER__ +.long 0xd50323bf // autiasp + ret + + +.align 6 + +LK256: +.long 0x428a2f98,0x71374491,0xb5c0fbcf,0xe9b5dba5 +.long 0x3956c25b,0x59f111f1,0x923f82a4,0xab1c5ed5 +.long 0xd807aa98,0x12835b01,0x243185be,0x550c7dc3 +.long 0x72be5d74,0x80deb1fe,0x9bdc06a7,0xc19bf174 +.long 0xe49b69c1,0xefbe4786,0x0fc19dc6,0x240ca1cc +.long 0x2de92c6f,0x4a7484aa,0x5cb0a9dc,0x76f988da +.long 0x983e5152,0xa831c66d,0xb00327c8,0xbf597fc7 +.long 0xc6e00bf3,0xd5a79147,0x06ca6351,0x14292967 +.long 0x27b70a85,0x2e1b2138,0x4d2c6dfc,0x53380d13 +.long 0x650a7354,0x766a0abb,0x81c2c92e,0x92722c85 +.long 0xa2bfe8a1,0xa81a664b,0xc24b8b70,0xc76c51a3 +.long 0xd192e819,0xd6990624,0xf40e3585,0x106aa070 +.long 0x19a4c116,0x1e376c08,0x2748774c,0x34b0bcb5 +.long 0x391c0cb3,0x4ed8aa4a,0x5b9cca4f,0x682e6ff3 +.long 0x748f82ee,0x78a5636f,0x84c87814,0x8cc70208 +.long 0x90befffa,0xa4506ceb,0xbef9a3f7,0xc67178f2 +.long 0 //terminator + +.byte 83,72,65,50,53,54,32,98,108,111,99,107,32,116,114,97,110,115,102,111,114,109,32,102,111,114,32,65,82,77,118,56,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.align 2 +.align 2 +#ifndef __KERNEL__ + +.align 6 +crypton_sha256_asm_block_armv8: +Lv8_entry: + stp x29,x30,[sp,#-2*__SIZEOF_POINTER__]! + add x29,sp,#0 + + ld1 {v0.4s,v1.4s},[x0] + adr x3,LK256 + +Loop_hw: + ld1 {v4.16b,v5.16b,v6.16b,v7.16b},[x1],#64 + sub x2,x2,#1 + ld1 {v16.4s},[x3],#16 + rev32 v4.16b,v4.16b + rev32 v5.16b,v5.16b + rev32 v6.16b,v6.16b + rev32 v7.16b,v7.16b + orr v18.16b,v0.16b,v0.16b // offload + orr v19.16b,v1.16b,v1.16b + ld1 {v17.4s},[x3],#16 + add v16.4s,v16.4s,v4.4s +.long 0x5e2828a4 //sha256su0 v4.16b,v5.16b + orr v2.16b,v0.16b,v0.16b +.long 0x5e104020 //sha256h v0.16b,v1.16b,v16.4s +.long 0x5e105041 //sha256h2 v1.16b,v2.16b,v16.4s +.long 0x5e0760c4 //sha256su1 v4.16b,v6.16b,v7.16b + ld1 {v16.4s},[x3],#16 + add v17.4s,v17.4s,v5.4s +.long 0x5e2828c5 //sha256su0 v5.16b,v6.16b + orr v2.16b,v0.16b,v0.16b +.long 0x5e114020 //sha256h v0.16b,v1.16b,v17.4s +.long 0x5e115041 //sha256h2 v1.16b,v2.16b,v17.4s +.long 0x5e0460e5 //sha256su1 v5.16b,v7.16b,v4.16b + ld1 {v17.4s},[x3],#16 + add v16.4s,v16.4s,v6.4s +.long 0x5e2828e6 //sha256su0 v6.16b,v7.16b + orr v2.16b,v0.16b,v0.16b +.long 0x5e104020 //sha256h v0.16b,v1.16b,v16.4s +.long 0x5e105041 //sha256h2 v1.16b,v2.16b,v16.4s +.long 0x5e056086 //sha256su1 v6.16b,v4.16b,v5.16b + ld1 {v16.4s},[x3],#16 + add v17.4s,v17.4s,v7.4s +.long 0x5e282887 //sha256su0 v7.16b,v4.16b + orr v2.16b,v0.16b,v0.16b +.long 0x5e114020 //sha256h v0.16b,v1.16b,v17.4s +.long 0x5e115041 //sha256h2 v1.16b,v2.16b,v17.4s +.long 0x5e0660a7 //sha256su1 v7.16b,v5.16b,v6.16b + ld1 {v17.4s},[x3],#16 + add v16.4s,v16.4s,v4.4s +.long 0x5e2828a4 //sha256su0 v4.16b,v5.16b + orr v2.16b,v0.16b,v0.16b +.long 0x5e104020 //sha256h v0.16b,v1.16b,v16.4s +.long 0x5e105041 //sha256h2 v1.16b,v2.16b,v16.4s +.long 0x5e0760c4 //sha256su1 v4.16b,v6.16b,v7.16b + ld1 {v16.4s},[x3],#16 + add v17.4s,v17.4s,v5.4s +.long 0x5e2828c5 //sha256su0 v5.16b,v6.16b + orr v2.16b,v0.16b,v0.16b +.long 0x5e114020 //sha256h v0.16b,v1.16b,v17.4s +.long 0x5e115041 //sha256h2 v1.16b,v2.16b,v17.4s +.long 0x5e0460e5 //sha256su1 v5.16b,v7.16b,v4.16b + ld1 {v17.4s},[x3],#16 + add v16.4s,v16.4s,v6.4s +.long 0x5e2828e6 //sha256su0 v6.16b,v7.16b + orr v2.16b,v0.16b,v0.16b +.long 0x5e104020 //sha256h v0.16b,v1.16b,v16.4s +.long 0x5e105041 //sha256h2 v1.16b,v2.16b,v16.4s +.long 0x5e056086 //sha256su1 v6.16b,v4.16b,v5.16b + ld1 {v16.4s},[x3],#16 + add v17.4s,v17.4s,v7.4s +.long 0x5e282887 //sha256su0 v7.16b,v4.16b + orr v2.16b,v0.16b,v0.16b +.long 0x5e114020 //sha256h v0.16b,v1.16b,v17.4s +.long 0x5e115041 //sha256h2 v1.16b,v2.16b,v17.4s +.long 0x5e0660a7 //sha256su1 v7.16b,v5.16b,v6.16b + ld1 {v17.4s},[x3],#16 + add v16.4s,v16.4s,v4.4s +.long 0x5e2828a4 //sha256su0 v4.16b,v5.16b + orr v2.16b,v0.16b,v0.16b +.long 0x5e104020 //sha256h v0.16b,v1.16b,v16.4s +.long 0x5e105041 //sha256h2 v1.16b,v2.16b,v16.4s +.long 0x5e0760c4 //sha256su1 v4.16b,v6.16b,v7.16b + ld1 {v16.4s},[x3],#16 + add v17.4s,v17.4s,v5.4s +.long 0x5e2828c5 //sha256su0 v5.16b,v6.16b + orr v2.16b,v0.16b,v0.16b +.long 0x5e114020 //sha256h v0.16b,v1.16b,v17.4s +.long 0x5e115041 //sha256h2 v1.16b,v2.16b,v17.4s +.long 0x5e0460e5 //sha256su1 v5.16b,v7.16b,v4.16b + ld1 {v17.4s},[x3],#16 + add v16.4s,v16.4s,v6.4s +.long 0x5e2828e6 //sha256su0 v6.16b,v7.16b + orr v2.16b,v0.16b,v0.16b +.long 0x5e104020 //sha256h v0.16b,v1.16b,v16.4s +.long 0x5e105041 //sha256h2 v1.16b,v2.16b,v16.4s +.long 0x5e056086 //sha256su1 v6.16b,v4.16b,v5.16b + ld1 {v16.4s},[x3],#16 + add v17.4s,v17.4s,v7.4s +.long 0x5e282887 //sha256su0 v7.16b,v4.16b + orr v2.16b,v0.16b,v0.16b +.long 0x5e114020 //sha256h v0.16b,v1.16b,v17.4s +.long 0x5e115041 //sha256h2 v1.16b,v2.16b,v17.4s +.long 0x5e0660a7 //sha256su1 v7.16b,v5.16b,v6.16b + ld1 {v17.4s},[x3],#16 + add v16.4s,v16.4s,v4.4s + orr v2.16b,v0.16b,v0.16b +.long 0x5e104020 //sha256h v0.16b,v1.16b,v16.4s +.long 0x5e105041 //sha256h2 v1.16b,v2.16b,v16.4s + + ld1 {v16.4s},[x3],#16 + add v17.4s,v17.4s,v5.4s + orr v2.16b,v0.16b,v0.16b +.long 0x5e114020 //sha256h v0.16b,v1.16b,v17.4s +.long 0x5e115041 //sha256h2 v1.16b,v2.16b,v17.4s + + ld1 {v17.4s},[x3] + add v16.4s,v16.4s,v6.4s + sub x3,x3,#64*4-16 + orr v2.16b,v0.16b,v0.16b +.long 0x5e104020 //sha256h v0.16b,v1.16b,v16.4s +.long 0x5e105041 //sha256h2 v1.16b,v2.16b,v16.4s + + add v17.4s,v17.4s,v7.4s + orr v2.16b,v0.16b,v0.16b +.long 0x5e114020 //sha256h v0.16b,v1.16b,v17.4s +.long 0x5e115041 //sha256h2 v1.16b,v2.16b,v17.4s + + add v0.4s,v0.4s,v18.4s + add v1.4s,v1.4s,v19.4s + + cbnz x2,Loop_hw + + st1 {v0.4s,v1.4s},[x0] + + ldr x29,[sp],#2*__SIZEOF_POINTER__ + ret + +#endif +#ifdef __KERNEL__ +.globl _crypton_sha256_asm_block_neon +#endif + +.align 4 +_crypton_sha256_asm_block_neon: +Lneon_entry: + stp x29, x30, [sp, #-2*__SIZEOF_POINTER__]! + mov x29, sp + sub sp,sp,#16*4 + + adr x16,LK256 + add x2,x1,x2,lsl#6 // len to point at the end of inp + + ld1 {v0.16b},[x1], #16 + ld1 {v1.16b},[x1], #16 + ld1 {v2.16b},[x1], #16 + ld1 {v3.16b},[x1], #16 + ld1 {v4.4s},[x16], #16 + ld1 {v5.4s},[x16], #16 + ld1 {v6.4s},[x16], #16 + ld1 {v7.4s},[x16], #16 + rev32 v0.16b,v0.16b // yes, even on + rev32 v1.16b,v1.16b // big-endian + rev32 v2.16b,v2.16b + rev32 v3.16b,v3.16b + mov x17,sp + add v4.4s,v4.4s,v0.4s + add v5.4s,v5.4s,v1.4s + add v6.4s,v6.4s,v2.4s + st1 {v4.4s,v5.4s},[x17], #32 + add v7.4s,v7.4s,v3.4s + st1 {v6.4s,v7.4s},[x17] + sub x17,x17,#32 + + ldp w3,w4,[x0] + ldp w5,w6,[x0,#8] + ldp w7,w8,[x0,#16] + ldp w9,w10,[x0,#24] + ldr w12,[sp,#0] + mov w13,wzr + eor w14,w4,w5 + mov w15,wzr + b L_00_48 + +.align 4 +L_00_48: + ext v4.16b,v0.16b,v1.16b,#4 + add w10,w10,w12 + add w3,w3,w15 + and w12,w8,w7 + bic w15,w9,w7 + ext v7.16b,v2.16b,v3.16b,#4 + eor w11,w7,w7,ror#5 + add w3,w3,w13 + mov d19,v3.d[1] + orr w12,w12,w15 + eor w11,w11,w7,ror#19 + ushr v6.4s,v4.4s,#7 + eor w15,w3,w3,ror#11 + ushr v5.4s,v4.4s,#3 + add w10,w10,w12 + add v0.4s,v0.4s,v7.4s + ror w11,w11,#6 + sli v6.4s,v4.4s,#25 + eor w13,w3,w4 + eor w15,w15,w3,ror#20 + ushr v7.4s,v4.4s,#18 + add w10,w10,w11 + ldr w12,[sp,#4] + and w14,w14,w13 + eor v5.16b,v5.16b,v6.16b + ror w15,w15,#2 + add w6,w6,w10 + sli v7.4s,v4.4s,#14 + eor w14,w14,w4 + ushr v16.4s,v19.4s,#17 + add w9,w9,w12 + add w10,w10,w15 + and w12,w7,w6 + eor v5.16b,v5.16b,v7.16b + bic w15,w8,w6 + eor w11,w6,w6,ror#5 + sli v16.4s,v19.4s,#15 + add w10,w10,w14 + orr w12,w12,w15 + ushr v17.4s,v19.4s,#10 + eor w11,w11,w6,ror#19 + eor w15,w10,w10,ror#11 + ushr v7.4s,v19.4s,#19 + add w9,w9,w12 + ror w11,w11,#6 + add v0.4s,v0.4s,v5.4s + eor w14,w10,w3 + eor w15,w15,w10,ror#20 + sli v7.4s,v19.4s,#13 + add w9,w9,w11 + ldr w12,[sp,#8] + and w13,w13,w14 + eor v17.16b,v17.16b,v16.16b + ror w15,w15,#2 + add w5,w5,w9 + eor w13,w13,w3 + eor v17.16b,v17.16b,v7.16b + add w8,w8,w12 + add w9,w9,w15 + and w12,w6,w5 + add v0.4s,v0.4s,v17.4s + bic w15,w7,w5 + eor w11,w5,w5,ror#5 + add w9,w9,w13 + ushr v18.4s,v0.4s,#17 + orr w12,w12,w15 + ushr v19.4s,v0.4s,#10 + eor w11,w11,w5,ror#19 + eor w15,w9,w9,ror#11 + sli v18.4s,v0.4s,#15 + add w8,w8,w12 + ushr v17.4s,v0.4s,#19 + ror w11,w11,#6 + eor w13,w9,w10 + eor v19.16b,v19.16b,v18.16b + eor w15,w15,w9,ror#20 + add w8,w8,w11 + sli v17.4s,v0.4s,#13 + ldr w12,[sp,#12] + and w14,w14,w13 + ror w15,w15,#2 + ld1 {v4.4s},[x16], #16 + add w4,w4,w8 + eor v19.16b,v19.16b,v17.16b + eor w14,w14,w10 + eor v17.16b,v17.16b,v17.16b + add w7,w7,w12 + add w8,w8,w15 + and w12,w5,w4 + mov v17.d[1],v19.d[0] + bic w15,w6,w4 + eor w11,w4,w4,ror#5 + add w8,w8,w14 + add v0.4s,v0.4s,v17.4s + orr w12,w12,w15 + eor w11,w11,w4,ror#19 + eor w15,w8,w8,ror#11 + add v4.4s,v4.4s,v0.4s + add w7,w7,w12 + ror w11,w11,#6 + eor w14,w8,w9 + eor w15,w15,w8,ror#20 + add w7,w7,w11 + ldr w12,[sp,#16] + and w13,w13,w14 + ror w15,w15,#2 + add w3,w3,w7 + eor w13,w13,w9 + st1 {v4.4s},[x17], #16 + ext v4.16b,v1.16b,v2.16b,#4 + add w6,w6,w12 + add w7,w7,w15 + and w12,w4,w3 + bic w15,w5,w3 + ext v7.16b,v3.16b,v0.16b,#4 + eor w11,w3,w3,ror#5 + add w7,w7,w13 + mov d19,v0.d[1] + orr w12,w12,w15 + eor w11,w11,w3,ror#19 + ushr v6.4s,v4.4s,#7 + eor w15,w7,w7,ror#11 + ushr v5.4s,v4.4s,#3 + add w6,w6,w12 + add v1.4s,v1.4s,v7.4s + ror w11,w11,#6 + sli v6.4s,v4.4s,#25 + eor w13,w7,w8 + eor w15,w15,w7,ror#20 + ushr v7.4s,v4.4s,#18 + add w6,w6,w11 + ldr w12,[sp,#20] + and w14,w14,w13 + eor v5.16b,v5.16b,v6.16b + ror w15,w15,#2 + add w10,w10,w6 + sli v7.4s,v4.4s,#14 + eor w14,w14,w8 + ushr v16.4s,v19.4s,#17 + add w5,w5,w12 + add w6,w6,w15 + and w12,w3,w10 + eor v5.16b,v5.16b,v7.16b + bic w15,w4,w10 + eor w11,w10,w10,ror#5 + sli v16.4s,v19.4s,#15 + add w6,w6,w14 + orr w12,w12,w15 + ushr v17.4s,v19.4s,#10 + eor w11,w11,w10,ror#19 + eor w15,w6,w6,ror#11 + ushr v7.4s,v19.4s,#19 + add w5,w5,w12 + ror w11,w11,#6 + add v1.4s,v1.4s,v5.4s + eor w14,w6,w7 + eor w15,w15,w6,ror#20 + sli v7.4s,v19.4s,#13 + add w5,w5,w11 + ldr w12,[sp,#24] + and w13,w13,w14 + eor v17.16b,v17.16b,v16.16b + ror w15,w15,#2 + add w9,w9,w5 + eor w13,w13,w7 + eor v17.16b,v17.16b,v7.16b + add w4,w4,w12 + add w5,w5,w15 + and w12,w10,w9 + add v1.4s,v1.4s,v17.4s + bic w15,w3,w9 + eor w11,w9,w9,ror#5 + add w5,w5,w13 + ushr v18.4s,v1.4s,#17 + orr w12,w12,w15 + ushr v19.4s,v1.4s,#10 + eor w11,w11,w9,ror#19 + eor w15,w5,w5,ror#11 + sli v18.4s,v1.4s,#15 + add w4,w4,w12 + ushr v17.4s,v1.4s,#19 + ror w11,w11,#6 + eor w13,w5,w6 + eor v19.16b,v19.16b,v18.16b + eor w15,w15,w5,ror#20 + add w4,w4,w11 + sli v17.4s,v1.4s,#13 + ldr w12,[sp,#28] + and w14,w14,w13 + ror w15,w15,#2 + ld1 {v4.4s},[x16], #16 + add w8,w8,w4 + eor v19.16b,v19.16b,v17.16b + eor w14,w14,w6 + eor v17.16b,v17.16b,v17.16b + add w3,w3,w12 + add w4,w4,w15 + and w12,w9,w8 + mov v17.d[1],v19.d[0] + bic w15,w10,w8 + eor w11,w8,w8,ror#5 + add w4,w4,w14 + add v1.4s,v1.4s,v17.4s + orr w12,w12,w15 + eor w11,w11,w8,ror#19 + eor w15,w4,w4,ror#11 + add v4.4s,v4.4s,v1.4s + add w3,w3,w12 + ror w11,w11,#6 + eor w14,w4,w5 + eor w15,w15,w4,ror#20 + add w3,w3,w11 + ldr w12,[sp,#32] + and w13,w13,w14 + ror w15,w15,#2 + add w7,w7,w3 + eor w13,w13,w5 + st1 {v4.4s},[x17], #16 + ext v4.16b,v2.16b,v3.16b,#4 + add w10,w10,w12 + add w3,w3,w15 + and w12,w8,w7 + bic w15,w9,w7 + ext v7.16b,v0.16b,v1.16b,#4 + eor w11,w7,w7,ror#5 + add w3,w3,w13 + mov d19,v1.d[1] + orr w12,w12,w15 + eor w11,w11,w7,ror#19 + ushr v6.4s,v4.4s,#7 + eor w15,w3,w3,ror#11 + ushr v5.4s,v4.4s,#3 + add w10,w10,w12 + add v2.4s,v2.4s,v7.4s + ror w11,w11,#6 + sli v6.4s,v4.4s,#25 + eor w13,w3,w4 + eor w15,w15,w3,ror#20 + ushr v7.4s,v4.4s,#18 + add w10,w10,w11 + ldr w12,[sp,#36] + and w14,w14,w13 + eor v5.16b,v5.16b,v6.16b + ror w15,w15,#2 + add w6,w6,w10 + sli v7.4s,v4.4s,#14 + eor w14,w14,w4 + ushr v16.4s,v19.4s,#17 + add w9,w9,w12 + add w10,w10,w15 + and w12,w7,w6 + eor v5.16b,v5.16b,v7.16b + bic w15,w8,w6 + eor w11,w6,w6,ror#5 + sli v16.4s,v19.4s,#15 + add w10,w10,w14 + orr w12,w12,w15 + ushr v17.4s,v19.4s,#10 + eor w11,w11,w6,ror#19 + eor w15,w10,w10,ror#11 + ushr v7.4s,v19.4s,#19 + add w9,w9,w12 + ror w11,w11,#6 + add v2.4s,v2.4s,v5.4s + eor w14,w10,w3 + eor w15,w15,w10,ror#20 + sli v7.4s,v19.4s,#13 + add w9,w9,w11 + ldr w12,[sp,#40] + and w13,w13,w14 + eor v17.16b,v17.16b,v16.16b + ror w15,w15,#2 + add w5,w5,w9 + eor w13,w13,w3 + eor v17.16b,v17.16b,v7.16b + add w8,w8,w12 + add w9,w9,w15 + and w12,w6,w5 + add v2.4s,v2.4s,v17.4s + bic w15,w7,w5 + eor w11,w5,w5,ror#5 + add w9,w9,w13 + ushr v18.4s,v2.4s,#17 + orr w12,w12,w15 + ushr v19.4s,v2.4s,#10 + eor w11,w11,w5,ror#19 + eor w15,w9,w9,ror#11 + sli v18.4s,v2.4s,#15 + add w8,w8,w12 + ushr v17.4s,v2.4s,#19 + ror w11,w11,#6 + eor w13,w9,w10 + eor v19.16b,v19.16b,v18.16b + eor w15,w15,w9,ror#20 + add w8,w8,w11 + sli v17.4s,v2.4s,#13 + ldr w12,[sp,#44] + and w14,w14,w13 + ror w15,w15,#2 + ld1 {v4.4s},[x16], #16 + add w4,w4,w8 + eor v19.16b,v19.16b,v17.16b + eor w14,w14,w10 + eor v17.16b,v17.16b,v17.16b + add w7,w7,w12 + add w8,w8,w15 + and w12,w5,w4 + mov v17.d[1],v19.d[0] + bic w15,w6,w4 + eor w11,w4,w4,ror#5 + add w8,w8,w14 + add v2.4s,v2.4s,v17.4s + orr w12,w12,w15 + eor w11,w11,w4,ror#19 + eor w15,w8,w8,ror#11 + add v4.4s,v4.4s,v2.4s + add w7,w7,w12 + ror w11,w11,#6 + eor w14,w8,w9 + eor w15,w15,w8,ror#20 + add w7,w7,w11 + ldr w12,[sp,#48] + and w13,w13,w14 + ror w15,w15,#2 + add w3,w3,w7 + eor w13,w13,w9 + st1 {v4.4s},[x17], #16 + ext v4.16b,v3.16b,v0.16b,#4 + add w6,w6,w12 + add w7,w7,w15 + and w12,w4,w3 + bic w15,w5,w3 + ext v7.16b,v1.16b,v2.16b,#4 + eor w11,w3,w3,ror#5 + add w7,w7,w13 + mov d19,v2.d[1] + orr w12,w12,w15 + eor w11,w11,w3,ror#19 + ushr v6.4s,v4.4s,#7 + eor w15,w7,w7,ror#11 + ushr v5.4s,v4.4s,#3 + add w6,w6,w12 + add v3.4s,v3.4s,v7.4s + ror w11,w11,#6 + sli v6.4s,v4.4s,#25 + eor w13,w7,w8 + eor w15,w15,w7,ror#20 + ushr v7.4s,v4.4s,#18 + add w6,w6,w11 + ldr w12,[sp,#52] + and w14,w14,w13 + eor v5.16b,v5.16b,v6.16b + ror w15,w15,#2 + add w10,w10,w6 + sli v7.4s,v4.4s,#14 + eor w14,w14,w8 + ushr v16.4s,v19.4s,#17 + add w5,w5,w12 + add w6,w6,w15 + and w12,w3,w10 + eor v5.16b,v5.16b,v7.16b + bic w15,w4,w10 + eor w11,w10,w10,ror#5 + sli v16.4s,v19.4s,#15 + add w6,w6,w14 + orr w12,w12,w15 + ushr v17.4s,v19.4s,#10 + eor w11,w11,w10,ror#19 + eor w15,w6,w6,ror#11 + ushr v7.4s,v19.4s,#19 + add w5,w5,w12 + ror w11,w11,#6 + add v3.4s,v3.4s,v5.4s + eor w14,w6,w7 + eor w15,w15,w6,ror#20 + sli v7.4s,v19.4s,#13 + add w5,w5,w11 + ldr w12,[sp,#56] + and w13,w13,w14 + eor v17.16b,v17.16b,v16.16b + ror w15,w15,#2 + add w9,w9,w5 + eor w13,w13,w7 + eor v17.16b,v17.16b,v7.16b + add w4,w4,w12 + add w5,w5,w15 + and w12,w10,w9 + add v3.4s,v3.4s,v17.4s + bic w15,w3,w9 + eor w11,w9,w9,ror#5 + add w5,w5,w13 + ushr v18.4s,v3.4s,#17 + orr w12,w12,w15 + ushr v19.4s,v3.4s,#10 + eor w11,w11,w9,ror#19 + eor w15,w5,w5,ror#11 + sli v18.4s,v3.4s,#15 + add w4,w4,w12 + ushr v17.4s,v3.4s,#19 + ror w11,w11,#6 + eor w13,w5,w6 + eor v19.16b,v19.16b,v18.16b + eor w15,w15,w5,ror#20 + add w4,w4,w11 + sli v17.4s,v3.4s,#13 + ldr w12,[sp,#60] + and w14,w14,w13 + ror w15,w15,#2 + ld1 {v4.4s},[x16], #16 + add w8,w8,w4 + eor v19.16b,v19.16b,v17.16b + eor w14,w14,w6 + eor v17.16b,v17.16b,v17.16b + add w3,w3,w12 + add w4,w4,w15 + and w12,w9,w8 + mov v17.d[1],v19.d[0] + bic w15,w10,w8 + eor w11,w8,w8,ror#5 + add w4,w4,w14 + add v3.4s,v3.4s,v17.4s + orr w12,w12,w15 + eor w11,w11,w8,ror#19 + eor w15,w4,w4,ror#11 + add v4.4s,v4.4s,v3.4s + add w3,w3,w12 + ror w11,w11,#6 + eor w14,w4,w5 + eor w15,w15,w4,ror#20 + add w3,w3,w11 + ldr w12,[x16] + and w13,w13,w14 + ror w15,w15,#2 + add w7,w7,w3 + eor w13,w13,w5 + st1 {v4.4s},[x17], #16 + cmp w12,#0 // check for K256 terminator + ldr w12,[sp,#0] + sub x17,x17,#64 + bne L_00_48 + + sub x16,x16,#256 + cmp x1,x2 + mov x17, #-64 + csel x17, x17, xzr, eq + add x1,x1,x17 + mov x17,sp + add w10,w10,w12 + add w3,w3,w15 + and w12,w8,w7 + ld1 {v0.16b},[x1],#16 + bic w15,w9,w7 + eor w11,w7,w7,ror#5 + ld1 {v4.4s},[x16],#16 + add w3,w3,w13 + orr w12,w12,w15 + eor w11,w11,w7,ror#19 + eor w15,w3,w3,ror#11 + rev32 v0.16b,v0.16b + add w10,w10,w12 + ror w11,w11,#6 + eor w13,w3,w4 + eor w15,w15,w3,ror#20 + add v4.4s,v4.4s,v0.4s + add w10,w10,w11 + ldr w12,[sp,#4] + and w14,w14,w13 + ror w15,w15,#2 + add w6,w6,w10 + eor w14,w14,w4 + add w9,w9,w12 + add w10,w10,w15 + and w12,w7,w6 + bic w15,w8,w6 + eor w11,w6,w6,ror#5 + add w10,w10,w14 + orr w12,w12,w15 + eor w11,w11,w6,ror#19 + eor w15,w10,w10,ror#11 + add w9,w9,w12 + ror w11,w11,#6 + eor w14,w10,w3 + eor w15,w15,w10,ror#20 + add w9,w9,w11 + ldr w12,[sp,#8] + and w13,w13,w14 + ror w15,w15,#2 + add w5,w5,w9 + eor w13,w13,w3 + add w8,w8,w12 + add w9,w9,w15 + and w12,w6,w5 + bic w15,w7,w5 + eor w11,w5,w5,ror#5 + add w9,w9,w13 + orr w12,w12,w15 + eor w11,w11,w5,ror#19 + eor w15,w9,w9,ror#11 + add w8,w8,w12 + ror w11,w11,#6 + eor w13,w9,w10 + eor w15,w15,w9,ror#20 + add w8,w8,w11 + ldr w12,[sp,#12] + and w14,w14,w13 + ror w15,w15,#2 + add w4,w4,w8 + eor w14,w14,w10 + add w7,w7,w12 + add w8,w8,w15 + and w12,w5,w4 + bic w15,w6,w4 + eor w11,w4,w4,ror#5 + add w8,w8,w14 + orr w12,w12,w15 + eor w11,w11,w4,ror#19 + eor w15,w8,w8,ror#11 + add w7,w7,w12 + ror w11,w11,#6 + eor w14,w8,w9 + eor w15,w15,w8,ror#20 + add w7,w7,w11 + ldr w12,[sp,#16] + and w13,w13,w14 + ror w15,w15,#2 + add w3,w3,w7 + eor w13,w13,w9 + st1 {v4.4s},[x17], #16 + add w6,w6,w12 + add w7,w7,w15 + and w12,w4,w3 + ld1 {v1.16b},[x1],#16 + bic w15,w5,w3 + eor w11,w3,w3,ror#5 + ld1 {v4.4s},[x16],#16 + add w7,w7,w13 + orr w12,w12,w15 + eor w11,w11,w3,ror#19 + eor w15,w7,w7,ror#11 + rev32 v1.16b,v1.16b + add w6,w6,w12 + ror w11,w11,#6 + eor w13,w7,w8 + eor w15,w15,w7,ror#20 + add v4.4s,v4.4s,v1.4s + add w6,w6,w11 + ldr w12,[sp,#20] + and w14,w14,w13 + ror w15,w15,#2 + add w10,w10,w6 + eor w14,w14,w8 + add w5,w5,w12 + add w6,w6,w15 + and w12,w3,w10 + bic w15,w4,w10 + eor w11,w10,w10,ror#5 + add w6,w6,w14 + orr w12,w12,w15 + eor w11,w11,w10,ror#19 + eor w15,w6,w6,ror#11 + add w5,w5,w12 + ror w11,w11,#6 + eor w14,w6,w7 + eor w15,w15,w6,ror#20 + add w5,w5,w11 + ldr w12,[sp,#24] + and w13,w13,w14 + ror w15,w15,#2 + add w9,w9,w5 + eor w13,w13,w7 + add w4,w4,w12 + add w5,w5,w15 + and w12,w10,w9 + bic w15,w3,w9 + eor w11,w9,w9,ror#5 + add w5,w5,w13 + orr w12,w12,w15 + eor w11,w11,w9,ror#19 + eor w15,w5,w5,ror#11 + add w4,w4,w12 + ror w11,w11,#6 + eor w13,w5,w6 + eor w15,w15,w5,ror#20 + add w4,w4,w11 + ldr w12,[sp,#28] + and w14,w14,w13 + ror w15,w15,#2 + add w8,w8,w4 + eor w14,w14,w6 + add w3,w3,w12 + add w4,w4,w15 + and w12,w9,w8 + bic w15,w10,w8 + eor w11,w8,w8,ror#5 + add w4,w4,w14 + orr w12,w12,w15 + eor w11,w11,w8,ror#19 + eor w15,w4,w4,ror#11 + add w3,w3,w12 + ror w11,w11,#6 + eor w14,w4,w5 + eor w15,w15,w4,ror#20 + add w3,w3,w11 + ldr w12,[sp,#32] + and w13,w13,w14 + ror w15,w15,#2 + add w7,w7,w3 + eor w13,w13,w5 + st1 {v4.4s},[x17], #16 + add w10,w10,w12 + add w3,w3,w15 + and w12,w8,w7 + ld1 {v2.16b},[x1],#16 + bic w15,w9,w7 + eor w11,w7,w7,ror#5 + ld1 {v4.4s},[x16],#16 + add w3,w3,w13 + orr w12,w12,w15 + eor w11,w11,w7,ror#19 + eor w15,w3,w3,ror#11 + rev32 v2.16b,v2.16b + add w10,w10,w12 + ror w11,w11,#6 + eor w13,w3,w4 + eor w15,w15,w3,ror#20 + add v4.4s,v4.4s,v2.4s + add w10,w10,w11 + ldr w12,[sp,#36] + and w14,w14,w13 + ror w15,w15,#2 + add w6,w6,w10 + eor w14,w14,w4 + add w9,w9,w12 + add w10,w10,w15 + and w12,w7,w6 + bic w15,w8,w6 + eor w11,w6,w6,ror#5 + add w10,w10,w14 + orr w12,w12,w15 + eor w11,w11,w6,ror#19 + eor w15,w10,w10,ror#11 + add w9,w9,w12 + ror w11,w11,#6 + eor w14,w10,w3 + eor w15,w15,w10,ror#20 + add w9,w9,w11 + ldr w12,[sp,#40] + and w13,w13,w14 + ror w15,w15,#2 + add w5,w5,w9 + eor w13,w13,w3 + add w8,w8,w12 + add w9,w9,w15 + and w12,w6,w5 + bic w15,w7,w5 + eor w11,w5,w5,ror#5 + add w9,w9,w13 + orr w12,w12,w15 + eor w11,w11,w5,ror#19 + eor w15,w9,w9,ror#11 + add w8,w8,w12 + ror w11,w11,#6 + eor w13,w9,w10 + eor w15,w15,w9,ror#20 + add w8,w8,w11 + ldr w12,[sp,#44] + and w14,w14,w13 + ror w15,w15,#2 + add w4,w4,w8 + eor w14,w14,w10 + add w7,w7,w12 + add w8,w8,w15 + and w12,w5,w4 + bic w15,w6,w4 + eor w11,w4,w4,ror#5 + add w8,w8,w14 + orr w12,w12,w15 + eor w11,w11,w4,ror#19 + eor w15,w8,w8,ror#11 + add w7,w7,w12 + ror w11,w11,#6 + eor w14,w8,w9 + eor w15,w15,w8,ror#20 + add w7,w7,w11 + ldr w12,[sp,#48] + and w13,w13,w14 + ror w15,w15,#2 + add w3,w3,w7 + eor w13,w13,w9 + st1 {v4.4s},[x17], #16 + add w6,w6,w12 + add w7,w7,w15 + and w12,w4,w3 + ld1 {v3.16b},[x1],#16 + bic w15,w5,w3 + eor w11,w3,w3,ror#5 + ld1 {v4.4s},[x16],#16 + add w7,w7,w13 + orr w12,w12,w15 + eor w11,w11,w3,ror#19 + eor w15,w7,w7,ror#11 + rev32 v3.16b,v3.16b + add w6,w6,w12 + ror w11,w11,#6 + eor w13,w7,w8 + eor w15,w15,w7,ror#20 + add v4.4s,v4.4s,v3.4s + add w6,w6,w11 + ldr w12,[sp,#52] + and w14,w14,w13 + ror w15,w15,#2 + add w10,w10,w6 + eor w14,w14,w8 + add w5,w5,w12 + add w6,w6,w15 + and w12,w3,w10 + bic w15,w4,w10 + eor w11,w10,w10,ror#5 + add w6,w6,w14 + orr w12,w12,w15 + eor w11,w11,w10,ror#19 + eor w15,w6,w6,ror#11 + add w5,w5,w12 + ror w11,w11,#6 + eor w14,w6,w7 + eor w15,w15,w6,ror#20 + add w5,w5,w11 + ldr w12,[sp,#56] + and w13,w13,w14 + ror w15,w15,#2 + add w9,w9,w5 + eor w13,w13,w7 + add w4,w4,w12 + add w5,w5,w15 + and w12,w10,w9 + bic w15,w3,w9 + eor w11,w9,w9,ror#5 + add w5,w5,w13 + orr w12,w12,w15 + eor w11,w11,w9,ror#19 + eor w15,w5,w5,ror#11 + add w4,w4,w12 + ror w11,w11,#6 + eor w13,w5,w6 + eor w15,w15,w5,ror#20 + add w4,w4,w11 + ldr w12,[sp,#60] + and w14,w14,w13 + ror w15,w15,#2 + add w8,w8,w4 + eor w14,w14,w6 + add w3,w3,w12 + add w4,w4,w15 + and w12,w9,w8 + bic w15,w10,w8 + eor w11,w8,w8,ror#5 + add w4,w4,w14 + orr w12,w12,w15 + eor w11,w11,w8,ror#19 + eor w15,w4,w4,ror#11 + add w3,w3,w12 + ror w11,w11,#6 + eor w14,w4,w5 + eor w15,w15,w4,ror#20 + add w3,w3,w11 + and w13,w13,w14 + ror w15,w15,#2 + add w7,w7,w3 + eor w13,w13,w5 + st1 {v4.4s},[x17], #16 + add w3,w3,w15 // h+=Sigma0(a) from the past + ldp w11,w12,[x0,#0] + add w3,w3,w13 // h+=Maj(a,b,c) from the past + ldp w13,w14,[x0,#8] + add w3,w3,w11 // accumulate + add w4,w4,w12 + ldp w11,w12,[x0,#16] + add w5,w5,w13 + add w6,w6,w14 + ldp w13,w14,[x0,#24] + add w7,w7,w11 + add w8,w8,w12 + ldr w12,[sp,#0] + stp w3,w4,[x0,#0] + add w9,w9,w13 + mov w13,wzr + stp w5,w6,[x0,#8] + add w10,w10,w14 + stp w7,w8,[x0,#16] + eor w14,w4,w5 + stp w9,w10,[x0,#24] + mov w15,wzr + mov x17,sp + b.ne L_00_48 + + ldr x29,[x29] + add sp,sp,#16*4+2*__SIZEOF_POINTER__ + ret + +#if !defined(__KERNEL__) && !defined(_WIN64) +.comm __crypton_armcap_P,4 +.private_extern _crypton_armcap_P +#endif diff --git a/cbits/asm/sha256-armv8-linux64.S b/cbits/asm/sha256-armv8-linux64.S new file mode 100644 --- /dev/null +++ b/cbits/asm/sha256-armv8-linux64.S @@ -0,0 +1,2053 @@ +// SPDX-License-Identifier: GPL-1.0+ OR BSD-3-Clause +// +// ==================================================================== +// Written by Andy Polyakov, @dot-asm, initially for the OpenSSL +// project. +// ==================================================================== +// +// SHA256/512 for ARMv8. +// +// Performance in cycles per processed byte and improvement coefficient +// over code generated with "default" compiler: +// +// SHA256-hw SHA256(*) SHA512 +// Apple A7 1.97 10.5 (+33%) 6.73 (-1%(**)) +// Apple A10 1.30 5.81 +// Apple A12 1.31 5.06 +// Apple A14/M1 1.30 8.19 (+14%) 2.24 (hw) +// Cortex-A53 2.38 15.5 (+115%) 10.0 (+150%(***)) +// Cortex-A57 2.31 11.6 (+86%) 7.51 (+260%(***)) +// Cortex-A76 1.60 9.5 6.05 +// Cortex-X2 1.60 7.3 2.60 (hw) +// Cortex-X925 1.57 5.97 2.55 (hw) +// Denver 2.01 10.5 (+26%) 6.70 (+8%) +// X-Gene 20.0 (+100%) 12.8 (+300%(***)) +// Mongoose 2.36 13.0 (+50%) 8.36 (+33%) +// Kryo 1.92 17.4 (+30%) 11.2 (+8%) +// ThunderX2 2.54 13.2 (+40%) 8.40 (+18%) +// Shapdragon X 1.40 7.43 2.23 (hw) +// +// (*) Software SHA256 results are of lesser relevance, presented +// mostly for informational purposes. +// (**) The result is a trade-off: it's possible to improve it by +// 10% (or by 1 cycle per round), but at the cost of 20% loss +// on Cortex-A53 (or by 4 cycles per round). +// (***) Super-impressive coefficients over gcc-generated code are +// indication of some compiler "pathology", most notably code +// generated with -mgeneral-regs-only is significantly faster +// and the gap is only 40-90%. +// +// October 2016. +// +// Originally it was reckoned that it makes no sense to implement NEON +// version of SHA256 for 64-bit processors. This is because performance +// improvement on most wide-spread Cortex-A5x processors was observed +// to be marginal, same on Cortex-A53 and ~10% on A57. But then it was +// observed that 32-bit NEON SHA256 performs significantly better than +// 64-bit scalar version on *some* of the more recent processors. As +// result 64-bit NEON version of SHA256 was added to provide best +// all-round performance. For example it executes ~30% faster on X-Gene +// and Mongoose. [For reference, NEON version of SHA512 is bound to +// deliver much less improvement, likely *negative* on Cortex-A5x. +// Which is why NEON support is limited to SHA256.] + +#ifndef __KERNEL__ +# include "arm_arch.h" + +#endif + +.text + +.globl crypton_sha256_asm_block_data_order +.type crypton_sha256_asm_block_data_order,%function +.align 6 +crypton_sha256_asm_block_data_order: +#ifndef __KERNEL__ + adrp x16,crypton_armcap_P + ldr w16,[x16,#:lo12:crypton_armcap_P] + tst w16,#ARMV8_SHA256 + b.ne .Lv8_entry + tst w16,#ARMV7_NEON + b.ne .Lneon_entry +#endif +.inst 0xd503233f // paciasp + stp x29,x30,[sp,#-16*__SIZEOF_POINTER__]! + add x29,sp,#0 + + stp x19,x20,[sp,#2*__SIZEOF_POINTER__] + stp x21,x22,[sp,#4*__SIZEOF_POINTER__] + stp x23,x24,[sp,#6*__SIZEOF_POINTER__] + stp x25,x26,[sp,#8*__SIZEOF_POINTER__] + stp x27,x28,[sp,#10*__SIZEOF_POINTER__] + sub sp,sp,#4*4 + + ldp w20,w21,[x0] // load context + ldp w22,w23,[x0,#2*4] + lsl x2,x2,#6 + ldp w24,w25,[x0,#4*4] + add x2,x1,x2 + ldp w26,w27,[x0,#6*4] + adr x30,.LK256 + stp x0,x2,[x29,#12*__SIZEOF_POINTER__] + +.Loop: + ldp w3,w4,[x1],#2*4 + ldr w19,[x30],#4 // *K++ + eor w28,w21,w22 // magic seed + str x1,[x29,#14*__SIZEOF_POINTER__] +#ifndef __AARCH64EB__ + rev w3,w3 // 0 +#endif + ror w16,w24,#6 + add w27,w27,w19 // h+=K[i] + eor w6,w24,w24,ror#14 + and w17,w25,w24 + bic w19,w26,w24 + add w27,w27,w3 // h+=X[i] + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w20,w21 // a^b, b^c in next round + eor w16,w16,w6,ror#11 // Sigma1(e) + ror w6,w20,#2 + add w27,w27,w17 // h+=Ch(e,f,g) + eor w17,w20,w20,ror#9 + add w27,w27,w16 // h+=Sigma1(e) + and w28,w28,w19 // (b^c)&=(a^b) + add w23,w23,w27 // d+=h + eor w28,w28,w21 // Maj(a,b,c) + eor w17,w6,w17,ror#13 // Sigma0(a) + add w27,w27,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + //add w27,w27,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w4,w4 // 1 +#endif + ldp w5,w6,[x1],#2*4 + add w27,w27,w17 // h+=Sigma0(a) + ror w16,w23,#6 + add w26,w26,w28 // h+=K[i] + eor w7,w23,w23,ror#14 + and w17,w24,w23 + bic w28,w25,w23 + add w26,w26,w4 // h+=X[i] + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w27,w20 // a^b, b^c in next round + eor w16,w16,w7,ror#11 // Sigma1(e) + ror w7,w27,#2 + add w26,w26,w17 // h+=Ch(e,f,g) + eor w17,w27,w27,ror#9 + add w26,w26,w16 // h+=Sigma1(e) + and w19,w19,w28 // (b^c)&=(a^b) + add w22,w22,w26 // d+=h + eor w19,w19,w20 // Maj(a,b,c) + eor w17,w7,w17,ror#13 // Sigma0(a) + add w26,w26,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + //add w26,w26,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w5,w5 // 2 +#endif + add w26,w26,w17 // h+=Sigma0(a) + ror w16,w22,#6 + add w25,w25,w19 // h+=K[i] + eor w8,w22,w22,ror#14 + and w17,w23,w22 + bic w19,w24,w22 + add w25,w25,w5 // h+=X[i] + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w26,w27 // a^b, b^c in next round + eor w16,w16,w8,ror#11 // Sigma1(e) + ror w8,w26,#2 + add w25,w25,w17 // h+=Ch(e,f,g) + eor w17,w26,w26,ror#9 + add w25,w25,w16 // h+=Sigma1(e) + and w28,w28,w19 // (b^c)&=(a^b) + add w21,w21,w25 // d+=h + eor w28,w28,w27 // Maj(a,b,c) + eor w17,w8,w17,ror#13 // Sigma0(a) + add w25,w25,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + //add w25,w25,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w6,w6 // 3 +#endif + ldp w7,w8,[x1],#2*4 + add w25,w25,w17 // h+=Sigma0(a) + ror w16,w21,#6 + add w24,w24,w28 // h+=K[i] + eor w9,w21,w21,ror#14 + and w17,w22,w21 + bic w28,w23,w21 + add w24,w24,w6 // h+=X[i] + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w25,w26 // a^b, b^c in next round + eor w16,w16,w9,ror#11 // Sigma1(e) + ror w9,w25,#2 + add w24,w24,w17 // h+=Ch(e,f,g) + eor w17,w25,w25,ror#9 + add w24,w24,w16 // h+=Sigma1(e) + and w19,w19,w28 // (b^c)&=(a^b) + add w20,w20,w24 // d+=h + eor w19,w19,w26 // Maj(a,b,c) + eor w17,w9,w17,ror#13 // Sigma0(a) + add w24,w24,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + //add w24,w24,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w7,w7 // 4 +#endif + add w24,w24,w17 // h+=Sigma0(a) + ror w16,w20,#6 + add w23,w23,w19 // h+=K[i] + eor w10,w20,w20,ror#14 + and w17,w21,w20 + bic w19,w22,w20 + add w23,w23,w7 // h+=X[i] + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w24,w25 // a^b, b^c in next round + eor w16,w16,w10,ror#11 // Sigma1(e) + ror w10,w24,#2 + add w23,w23,w17 // h+=Ch(e,f,g) + eor w17,w24,w24,ror#9 + add w23,w23,w16 // h+=Sigma1(e) + and w28,w28,w19 // (b^c)&=(a^b) + add w27,w27,w23 // d+=h + eor w28,w28,w25 // Maj(a,b,c) + eor w17,w10,w17,ror#13 // Sigma0(a) + add w23,w23,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + //add w23,w23,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w8,w8 // 5 +#endif + ldp w9,w10,[x1],#2*4 + add w23,w23,w17 // h+=Sigma0(a) + ror w16,w27,#6 + add w22,w22,w28 // h+=K[i] + eor w11,w27,w27,ror#14 + and w17,w20,w27 + bic w28,w21,w27 + add w22,w22,w8 // h+=X[i] + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w23,w24 // a^b, b^c in next round + eor w16,w16,w11,ror#11 // Sigma1(e) + ror w11,w23,#2 + add w22,w22,w17 // h+=Ch(e,f,g) + eor w17,w23,w23,ror#9 + add w22,w22,w16 // h+=Sigma1(e) + and w19,w19,w28 // (b^c)&=(a^b) + add w26,w26,w22 // d+=h + eor w19,w19,w24 // Maj(a,b,c) + eor w17,w11,w17,ror#13 // Sigma0(a) + add w22,w22,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + //add w22,w22,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w9,w9 // 6 +#endif + add w22,w22,w17 // h+=Sigma0(a) + ror w16,w26,#6 + add w21,w21,w19 // h+=K[i] + eor w12,w26,w26,ror#14 + and w17,w27,w26 + bic w19,w20,w26 + add w21,w21,w9 // h+=X[i] + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w22,w23 // a^b, b^c in next round + eor w16,w16,w12,ror#11 // Sigma1(e) + ror w12,w22,#2 + add w21,w21,w17 // h+=Ch(e,f,g) + eor w17,w22,w22,ror#9 + add w21,w21,w16 // h+=Sigma1(e) + and w28,w28,w19 // (b^c)&=(a^b) + add w25,w25,w21 // d+=h + eor w28,w28,w23 // Maj(a,b,c) + eor w17,w12,w17,ror#13 // Sigma0(a) + add w21,w21,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + //add w21,w21,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w10,w10 // 7 +#endif + ldp w11,w12,[x1],#2*4 + add w21,w21,w17 // h+=Sigma0(a) + ror w16,w25,#6 + add w20,w20,w28 // h+=K[i] + eor w13,w25,w25,ror#14 + and w17,w26,w25 + bic w28,w27,w25 + add w20,w20,w10 // h+=X[i] + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w21,w22 // a^b, b^c in next round + eor w16,w16,w13,ror#11 // Sigma1(e) + ror w13,w21,#2 + add w20,w20,w17 // h+=Ch(e,f,g) + eor w17,w21,w21,ror#9 + add w20,w20,w16 // h+=Sigma1(e) + and w19,w19,w28 // (b^c)&=(a^b) + add w24,w24,w20 // d+=h + eor w19,w19,w22 // Maj(a,b,c) + eor w17,w13,w17,ror#13 // Sigma0(a) + add w20,w20,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + //add w20,w20,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w11,w11 // 8 +#endif + add w20,w20,w17 // h+=Sigma0(a) + ror w16,w24,#6 + add w27,w27,w19 // h+=K[i] + eor w14,w24,w24,ror#14 + and w17,w25,w24 + bic w19,w26,w24 + add w27,w27,w11 // h+=X[i] + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w20,w21 // a^b, b^c in next round + eor w16,w16,w14,ror#11 // Sigma1(e) + ror w14,w20,#2 + add w27,w27,w17 // h+=Ch(e,f,g) + eor w17,w20,w20,ror#9 + add w27,w27,w16 // h+=Sigma1(e) + and w28,w28,w19 // (b^c)&=(a^b) + add w23,w23,w27 // d+=h + eor w28,w28,w21 // Maj(a,b,c) + eor w17,w14,w17,ror#13 // Sigma0(a) + add w27,w27,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + //add w27,w27,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w12,w12 // 9 +#endif + ldp w13,w14,[x1],#2*4 + add w27,w27,w17 // h+=Sigma0(a) + ror w16,w23,#6 + add w26,w26,w28 // h+=K[i] + eor w15,w23,w23,ror#14 + and w17,w24,w23 + bic w28,w25,w23 + add w26,w26,w12 // h+=X[i] + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w27,w20 // a^b, b^c in next round + eor w16,w16,w15,ror#11 // Sigma1(e) + ror w15,w27,#2 + add w26,w26,w17 // h+=Ch(e,f,g) + eor w17,w27,w27,ror#9 + add w26,w26,w16 // h+=Sigma1(e) + and w19,w19,w28 // (b^c)&=(a^b) + add w22,w22,w26 // d+=h + eor w19,w19,w20 // Maj(a,b,c) + eor w17,w15,w17,ror#13 // Sigma0(a) + add w26,w26,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + //add w26,w26,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w13,w13 // 10 +#endif + add w26,w26,w17 // h+=Sigma0(a) + ror w16,w22,#6 + add w25,w25,w19 // h+=K[i] + eor w0,w22,w22,ror#14 + and w17,w23,w22 + bic w19,w24,w22 + add w25,w25,w13 // h+=X[i] + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w26,w27 // a^b, b^c in next round + eor w16,w16,w0,ror#11 // Sigma1(e) + ror w0,w26,#2 + add w25,w25,w17 // h+=Ch(e,f,g) + eor w17,w26,w26,ror#9 + add w25,w25,w16 // h+=Sigma1(e) + and w28,w28,w19 // (b^c)&=(a^b) + add w21,w21,w25 // d+=h + eor w28,w28,w27 // Maj(a,b,c) + eor w17,w0,w17,ror#13 // Sigma0(a) + add w25,w25,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + //add w25,w25,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w14,w14 // 11 +#endif + ldp w15,w0,[x1],#2*4 + add w25,w25,w17 // h+=Sigma0(a) + str w6,[sp,#12] + ror w16,w21,#6 + add w24,w24,w28 // h+=K[i] + eor w6,w21,w21,ror#14 + and w17,w22,w21 + bic w28,w23,w21 + add w24,w24,w14 // h+=X[i] + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w25,w26 // a^b, b^c in next round + eor w16,w16,w6,ror#11 // Sigma1(e) + ror w6,w25,#2 + add w24,w24,w17 // h+=Ch(e,f,g) + eor w17,w25,w25,ror#9 + add w24,w24,w16 // h+=Sigma1(e) + and w19,w19,w28 // (b^c)&=(a^b) + add w20,w20,w24 // d+=h + eor w19,w19,w26 // Maj(a,b,c) + eor w17,w6,w17,ror#13 // Sigma0(a) + add w24,w24,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + //add w24,w24,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w15,w15 // 12 +#endif + add w24,w24,w17 // h+=Sigma0(a) + str w7,[sp,#0] + ror w16,w20,#6 + add w23,w23,w19 // h+=K[i] + eor w7,w20,w20,ror#14 + and w17,w21,w20 + bic w19,w22,w20 + add w23,w23,w15 // h+=X[i] + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w24,w25 // a^b, b^c in next round + eor w16,w16,w7,ror#11 // Sigma1(e) + ror w7,w24,#2 + add w23,w23,w17 // h+=Ch(e,f,g) + eor w17,w24,w24,ror#9 + add w23,w23,w16 // h+=Sigma1(e) + and w28,w28,w19 // (b^c)&=(a^b) + add w27,w27,w23 // d+=h + eor w28,w28,w25 // Maj(a,b,c) + eor w17,w7,w17,ror#13 // Sigma0(a) + add w23,w23,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + //add w23,w23,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w0,w0 // 13 +#endif + ldp w1,w2,[x1] + add w23,w23,w17 // h+=Sigma0(a) + str w8,[sp,#4] + ror w16,w27,#6 + add w22,w22,w28 // h+=K[i] + eor w8,w27,w27,ror#14 + and w17,w20,w27 + bic w28,w21,w27 + add w22,w22,w0 // h+=X[i] + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w23,w24 // a^b, b^c in next round + eor w16,w16,w8,ror#11 // Sigma1(e) + ror w8,w23,#2 + add w22,w22,w17 // h+=Ch(e,f,g) + eor w17,w23,w23,ror#9 + add w22,w22,w16 // h+=Sigma1(e) + and w19,w19,w28 // (b^c)&=(a^b) + add w26,w26,w22 // d+=h + eor w19,w19,w24 // Maj(a,b,c) + eor w17,w8,w17,ror#13 // Sigma0(a) + add w22,w22,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + //add w22,w22,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w1,w1 // 14 +#endif + ldr w6,[sp,#12] + add w22,w22,w17 // h+=Sigma0(a) + str w9,[sp,#8] + ror w16,w26,#6 + add w21,w21,w19 // h+=K[i] + eor w9,w26,w26,ror#14 + and w17,w27,w26 + bic w19,w20,w26 + add w21,w21,w1 // h+=X[i] + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w22,w23 // a^b, b^c in next round + eor w16,w16,w9,ror#11 // Sigma1(e) + ror w9,w22,#2 + add w21,w21,w17 // h+=Ch(e,f,g) + eor w17,w22,w22,ror#9 + add w21,w21,w16 // h+=Sigma1(e) + and w28,w28,w19 // (b^c)&=(a^b) + add w25,w25,w21 // d+=h + eor w28,w28,w23 // Maj(a,b,c) + eor w17,w9,w17,ror#13 // Sigma0(a) + add w21,w21,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + //add w21,w21,w17 // h+=Sigma0(a) +#ifndef __AARCH64EB__ + rev w2,w2 // 15 +#endif + ldr w7,[sp,#0] + add w21,w21,w17 // h+=Sigma0(a) + str w10,[sp,#12] + ror w16,w25,#6 + add w20,w20,w28 // h+=K[i] + ror w9,w4,#7 + and w17,w26,w25 + ror w8,w1,#17 + bic w28,w27,w25 + ror w10,w21,#2 + add w20,w20,w2 // h+=X[i] + eor w16,w16,w25,ror#11 + eor w9,w9,w4,ror#18 + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w21,w22 // a^b, b^c in next round + eor w16,w16,w25,ror#25 // Sigma1(e) + eor w10,w10,w21,ror#13 + add w20,w20,w17 // h+=Ch(e,f,g) + and w19,w19,w28 // (b^c)&=(a^b) + eor w8,w8,w1,ror#19 + eor w9,w9,w4,lsr#3 // sigma0(X[i+1]) + add w20,w20,w16 // h+=Sigma1(e) + eor w19,w19,w22 // Maj(a,b,c) + eor w17,w10,w21,ror#22 // Sigma0(a) + eor w8,w8,w1,lsr#10 // sigma1(X[i+14]) + add w3,w3,w12 + add w24,w24,w20 // d+=h + add w20,w20,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + add w3,w3,w9 + add w20,w20,w17 // h+=Sigma0(a) + add w3,w3,w8 +.Loop_16_xx: + ldr w8,[sp,#4] + str w11,[sp,#0] + ror w16,w24,#6 + add w27,w27,w19 // h+=K[i] + ror w10,w5,#7 + and w17,w25,w24 + ror w9,w2,#17 + bic w19,w26,w24 + ror w11,w20,#2 + add w27,w27,w3 // h+=X[i] + eor w16,w16,w24,ror#11 + eor w10,w10,w5,ror#18 + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w20,w21 // a^b, b^c in next round + eor w16,w16,w24,ror#25 // Sigma1(e) + eor w11,w11,w20,ror#13 + add w27,w27,w17 // h+=Ch(e,f,g) + and w28,w28,w19 // (b^c)&=(a^b) + eor w9,w9,w2,ror#19 + eor w10,w10,w5,lsr#3 // sigma0(X[i+1]) + add w27,w27,w16 // h+=Sigma1(e) + eor w28,w28,w21 // Maj(a,b,c) + eor w17,w11,w20,ror#22 // Sigma0(a) + eor w9,w9,w2,lsr#10 // sigma1(X[i+14]) + add w4,w4,w13 + add w23,w23,w27 // d+=h + add w27,w27,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + add w4,w4,w10 + add w27,w27,w17 // h+=Sigma0(a) + add w4,w4,w9 + ldr w9,[sp,#8] + str w12,[sp,#4] + ror w16,w23,#6 + add w26,w26,w28 // h+=K[i] + ror w11,w6,#7 + and w17,w24,w23 + ror w10,w3,#17 + bic w28,w25,w23 + ror w12,w27,#2 + add w26,w26,w4 // h+=X[i] + eor w16,w16,w23,ror#11 + eor w11,w11,w6,ror#18 + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w27,w20 // a^b, b^c in next round + eor w16,w16,w23,ror#25 // Sigma1(e) + eor w12,w12,w27,ror#13 + add w26,w26,w17 // h+=Ch(e,f,g) + and w19,w19,w28 // (b^c)&=(a^b) + eor w10,w10,w3,ror#19 + eor w11,w11,w6,lsr#3 // sigma0(X[i+1]) + add w26,w26,w16 // h+=Sigma1(e) + eor w19,w19,w20 // Maj(a,b,c) + eor w17,w12,w27,ror#22 // Sigma0(a) + eor w10,w10,w3,lsr#10 // sigma1(X[i+14]) + add w5,w5,w14 + add w22,w22,w26 // d+=h + add w26,w26,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + add w5,w5,w11 + add w26,w26,w17 // h+=Sigma0(a) + add w5,w5,w10 + ldr w10,[sp,#12] + str w13,[sp,#8] + ror w16,w22,#6 + add w25,w25,w19 // h+=K[i] + ror w12,w7,#7 + and w17,w23,w22 + ror w11,w4,#17 + bic w19,w24,w22 + ror w13,w26,#2 + add w25,w25,w5 // h+=X[i] + eor w16,w16,w22,ror#11 + eor w12,w12,w7,ror#18 + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w26,w27 // a^b, b^c in next round + eor w16,w16,w22,ror#25 // Sigma1(e) + eor w13,w13,w26,ror#13 + add w25,w25,w17 // h+=Ch(e,f,g) + and w28,w28,w19 // (b^c)&=(a^b) + eor w11,w11,w4,ror#19 + eor w12,w12,w7,lsr#3 // sigma0(X[i+1]) + add w25,w25,w16 // h+=Sigma1(e) + eor w28,w28,w27 // Maj(a,b,c) + eor w17,w13,w26,ror#22 // Sigma0(a) + eor w11,w11,w4,lsr#10 // sigma1(X[i+14]) + add w6,w6,w15 + add w21,w21,w25 // d+=h + add w25,w25,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + add w6,w6,w12 + add w25,w25,w17 // h+=Sigma0(a) + add w6,w6,w11 + ldr w11,[sp,#0] + str w14,[sp,#12] + ror w16,w21,#6 + add w24,w24,w28 // h+=K[i] + ror w13,w8,#7 + and w17,w22,w21 + ror w12,w5,#17 + bic w28,w23,w21 + ror w14,w25,#2 + add w24,w24,w6 // h+=X[i] + eor w16,w16,w21,ror#11 + eor w13,w13,w8,ror#18 + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w25,w26 // a^b, b^c in next round + eor w16,w16,w21,ror#25 // Sigma1(e) + eor w14,w14,w25,ror#13 + add w24,w24,w17 // h+=Ch(e,f,g) + and w19,w19,w28 // (b^c)&=(a^b) + eor w12,w12,w5,ror#19 + eor w13,w13,w8,lsr#3 // sigma0(X[i+1]) + add w24,w24,w16 // h+=Sigma1(e) + eor w19,w19,w26 // Maj(a,b,c) + eor w17,w14,w25,ror#22 // Sigma0(a) + eor w12,w12,w5,lsr#10 // sigma1(X[i+14]) + add w7,w7,w0 + add w20,w20,w24 // d+=h + add w24,w24,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + add w7,w7,w13 + add w24,w24,w17 // h+=Sigma0(a) + add w7,w7,w12 + ldr w12,[sp,#4] + str w15,[sp,#0] + ror w16,w20,#6 + add w23,w23,w19 // h+=K[i] + ror w14,w9,#7 + and w17,w21,w20 + ror w13,w6,#17 + bic w19,w22,w20 + ror w15,w24,#2 + add w23,w23,w7 // h+=X[i] + eor w16,w16,w20,ror#11 + eor w14,w14,w9,ror#18 + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w24,w25 // a^b, b^c in next round + eor w16,w16,w20,ror#25 // Sigma1(e) + eor w15,w15,w24,ror#13 + add w23,w23,w17 // h+=Ch(e,f,g) + and w28,w28,w19 // (b^c)&=(a^b) + eor w13,w13,w6,ror#19 + eor w14,w14,w9,lsr#3 // sigma0(X[i+1]) + add w23,w23,w16 // h+=Sigma1(e) + eor w28,w28,w25 // Maj(a,b,c) + eor w17,w15,w24,ror#22 // Sigma0(a) + eor w13,w13,w6,lsr#10 // sigma1(X[i+14]) + add w8,w8,w1 + add w27,w27,w23 // d+=h + add w23,w23,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + add w8,w8,w14 + add w23,w23,w17 // h+=Sigma0(a) + add w8,w8,w13 + ldr w13,[sp,#8] + str w0,[sp,#4] + ror w16,w27,#6 + add w22,w22,w28 // h+=K[i] + ror w15,w10,#7 + and w17,w20,w27 + ror w14,w7,#17 + bic w28,w21,w27 + ror w0,w23,#2 + add w22,w22,w8 // h+=X[i] + eor w16,w16,w27,ror#11 + eor w15,w15,w10,ror#18 + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w23,w24 // a^b, b^c in next round + eor w16,w16,w27,ror#25 // Sigma1(e) + eor w0,w0,w23,ror#13 + add w22,w22,w17 // h+=Ch(e,f,g) + and w19,w19,w28 // (b^c)&=(a^b) + eor w14,w14,w7,ror#19 + eor w15,w15,w10,lsr#3 // sigma0(X[i+1]) + add w22,w22,w16 // h+=Sigma1(e) + eor w19,w19,w24 // Maj(a,b,c) + eor w17,w0,w23,ror#22 // Sigma0(a) + eor w14,w14,w7,lsr#10 // sigma1(X[i+14]) + add w9,w9,w2 + add w26,w26,w22 // d+=h + add w22,w22,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + add w9,w9,w15 + add w22,w22,w17 // h+=Sigma0(a) + add w9,w9,w14 + ldr w14,[sp,#12] + str w1,[sp,#8] + ror w16,w26,#6 + add w21,w21,w19 // h+=K[i] + ror w0,w11,#7 + and w17,w27,w26 + ror w15,w8,#17 + bic w19,w20,w26 + ror w1,w22,#2 + add w21,w21,w9 // h+=X[i] + eor w16,w16,w26,ror#11 + eor w0,w0,w11,ror#18 + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w22,w23 // a^b, b^c in next round + eor w16,w16,w26,ror#25 // Sigma1(e) + eor w1,w1,w22,ror#13 + add w21,w21,w17 // h+=Ch(e,f,g) + and w28,w28,w19 // (b^c)&=(a^b) + eor w15,w15,w8,ror#19 + eor w0,w0,w11,lsr#3 // sigma0(X[i+1]) + add w21,w21,w16 // h+=Sigma1(e) + eor w28,w28,w23 // Maj(a,b,c) + eor w17,w1,w22,ror#22 // Sigma0(a) + eor w15,w15,w8,lsr#10 // sigma1(X[i+14]) + add w10,w10,w3 + add w25,w25,w21 // d+=h + add w21,w21,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + add w10,w10,w0 + add w21,w21,w17 // h+=Sigma0(a) + add w10,w10,w15 + ldr w15,[sp,#0] + str w2,[sp,#12] + ror w16,w25,#6 + add w20,w20,w28 // h+=K[i] + ror w1,w12,#7 + and w17,w26,w25 + ror w0,w9,#17 + bic w28,w27,w25 + ror w2,w21,#2 + add w20,w20,w10 // h+=X[i] + eor w16,w16,w25,ror#11 + eor w1,w1,w12,ror#18 + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w21,w22 // a^b, b^c in next round + eor w16,w16,w25,ror#25 // Sigma1(e) + eor w2,w2,w21,ror#13 + add w20,w20,w17 // h+=Ch(e,f,g) + and w19,w19,w28 // (b^c)&=(a^b) + eor w0,w0,w9,ror#19 + eor w1,w1,w12,lsr#3 // sigma0(X[i+1]) + add w20,w20,w16 // h+=Sigma1(e) + eor w19,w19,w22 // Maj(a,b,c) + eor w17,w2,w21,ror#22 // Sigma0(a) + eor w0,w0,w9,lsr#10 // sigma1(X[i+14]) + add w11,w11,w4 + add w24,w24,w20 // d+=h + add w20,w20,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + add w11,w11,w1 + add w20,w20,w17 // h+=Sigma0(a) + add w11,w11,w0 + ldr w0,[sp,#4] + str w3,[sp,#0] + ror w16,w24,#6 + add w27,w27,w19 // h+=K[i] + ror w2,w13,#7 + and w17,w25,w24 + ror w1,w10,#17 + bic w19,w26,w24 + ror w3,w20,#2 + add w27,w27,w11 // h+=X[i] + eor w16,w16,w24,ror#11 + eor w2,w2,w13,ror#18 + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w20,w21 // a^b, b^c in next round + eor w16,w16,w24,ror#25 // Sigma1(e) + eor w3,w3,w20,ror#13 + add w27,w27,w17 // h+=Ch(e,f,g) + and w28,w28,w19 // (b^c)&=(a^b) + eor w1,w1,w10,ror#19 + eor w2,w2,w13,lsr#3 // sigma0(X[i+1]) + add w27,w27,w16 // h+=Sigma1(e) + eor w28,w28,w21 // Maj(a,b,c) + eor w17,w3,w20,ror#22 // Sigma0(a) + eor w1,w1,w10,lsr#10 // sigma1(X[i+14]) + add w12,w12,w5 + add w23,w23,w27 // d+=h + add w27,w27,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + add w12,w12,w2 + add w27,w27,w17 // h+=Sigma0(a) + add w12,w12,w1 + ldr w1,[sp,#8] + str w4,[sp,#4] + ror w16,w23,#6 + add w26,w26,w28 // h+=K[i] + ror w3,w14,#7 + and w17,w24,w23 + ror w2,w11,#17 + bic w28,w25,w23 + ror w4,w27,#2 + add w26,w26,w12 // h+=X[i] + eor w16,w16,w23,ror#11 + eor w3,w3,w14,ror#18 + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w27,w20 // a^b, b^c in next round + eor w16,w16,w23,ror#25 // Sigma1(e) + eor w4,w4,w27,ror#13 + add w26,w26,w17 // h+=Ch(e,f,g) + and w19,w19,w28 // (b^c)&=(a^b) + eor w2,w2,w11,ror#19 + eor w3,w3,w14,lsr#3 // sigma0(X[i+1]) + add w26,w26,w16 // h+=Sigma1(e) + eor w19,w19,w20 // Maj(a,b,c) + eor w17,w4,w27,ror#22 // Sigma0(a) + eor w2,w2,w11,lsr#10 // sigma1(X[i+14]) + add w13,w13,w6 + add w22,w22,w26 // d+=h + add w26,w26,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + add w13,w13,w3 + add w26,w26,w17 // h+=Sigma0(a) + add w13,w13,w2 + ldr w2,[sp,#12] + str w5,[sp,#8] + ror w16,w22,#6 + add w25,w25,w19 // h+=K[i] + ror w4,w15,#7 + and w17,w23,w22 + ror w3,w12,#17 + bic w19,w24,w22 + ror w5,w26,#2 + add w25,w25,w13 // h+=X[i] + eor w16,w16,w22,ror#11 + eor w4,w4,w15,ror#18 + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w26,w27 // a^b, b^c in next round + eor w16,w16,w22,ror#25 // Sigma1(e) + eor w5,w5,w26,ror#13 + add w25,w25,w17 // h+=Ch(e,f,g) + and w28,w28,w19 // (b^c)&=(a^b) + eor w3,w3,w12,ror#19 + eor w4,w4,w15,lsr#3 // sigma0(X[i+1]) + add w25,w25,w16 // h+=Sigma1(e) + eor w28,w28,w27 // Maj(a,b,c) + eor w17,w5,w26,ror#22 // Sigma0(a) + eor w3,w3,w12,lsr#10 // sigma1(X[i+14]) + add w14,w14,w7 + add w21,w21,w25 // d+=h + add w25,w25,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + add w14,w14,w4 + add w25,w25,w17 // h+=Sigma0(a) + add w14,w14,w3 + ldr w3,[sp,#0] + str w6,[sp,#12] + ror w16,w21,#6 + add w24,w24,w28 // h+=K[i] + ror w5,w0,#7 + and w17,w22,w21 + ror w4,w13,#17 + bic w28,w23,w21 + ror w6,w25,#2 + add w24,w24,w14 // h+=X[i] + eor w16,w16,w21,ror#11 + eor w5,w5,w0,ror#18 + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w25,w26 // a^b, b^c in next round + eor w16,w16,w21,ror#25 // Sigma1(e) + eor w6,w6,w25,ror#13 + add w24,w24,w17 // h+=Ch(e,f,g) + and w19,w19,w28 // (b^c)&=(a^b) + eor w4,w4,w13,ror#19 + eor w5,w5,w0,lsr#3 // sigma0(X[i+1]) + add w24,w24,w16 // h+=Sigma1(e) + eor w19,w19,w26 // Maj(a,b,c) + eor w17,w6,w25,ror#22 // Sigma0(a) + eor w4,w4,w13,lsr#10 // sigma1(X[i+14]) + add w15,w15,w8 + add w20,w20,w24 // d+=h + add w24,w24,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + add w15,w15,w5 + add w24,w24,w17 // h+=Sigma0(a) + add w15,w15,w4 + ldr w4,[sp,#4] + str w7,[sp,#0] + ror w16,w20,#6 + add w23,w23,w19 // h+=K[i] + ror w6,w1,#7 + and w17,w21,w20 + ror w5,w14,#17 + bic w19,w22,w20 + ror w7,w24,#2 + add w23,w23,w15 // h+=X[i] + eor w16,w16,w20,ror#11 + eor w6,w6,w1,ror#18 + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w24,w25 // a^b, b^c in next round + eor w16,w16,w20,ror#25 // Sigma1(e) + eor w7,w7,w24,ror#13 + add w23,w23,w17 // h+=Ch(e,f,g) + and w28,w28,w19 // (b^c)&=(a^b) + eor w5,w5,w14,ror#19 + eor w6,w6,w1,lsr#3 // sigma0(X[i+1]) + add w23,w23,w16 // h+=Sigma1(e) + eor w28,w28,w25 // Maj(a,b,c) + eor w17,w7,w24,ror#22 // Sigma0(a) + eor w5,w5,w14,lsr#10 // sigma1(X[i+14]) + add w0,w0,w9 + add w27,w27,w23 // d+=h + add w23,w23,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + add w0,w0,w6 + add w23,w23,w17 // h+=Sigma0(a) + add w0,w0,w5 + ldr w5,[sp,#8] + str w8,[sp,#4] + ror w16,w27,#6 + add w22,w22,w28 // h+=K[i] + ror w7,w2,#7 + and w17,w20,w27 + ror w6,w15,#17 + bic w28,w21,w27 + ror w8,w23,#2 + add w22,w22,w0 // h+=X[i] + eor w16,w16,w27,ror#11 + eor w7,w7,w2,ror#18 + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w23,w24 // a^b, b^c in next round + eor w16,w16,w27,ror#25 // Sigma1(e) + eor w8,w8,w23,ror#13 + add w22,w22,w17 // h+=Ch(e,f,g) + and w19,w19,w28 // (b^c)&=(a^b) + eor w6,w6,w15,ror#19 + eor w7,w7,w2,lsr#3 // sigma0(X[i+1]) + add w22,w22,w16 // h+=Sigma1(e) + eor w19,w19,w24 // Maj(a,b,c) + eor w17,w8,w23,ror#22 // Sigma0(a) + eor w6,w6,w15,lsr#10 // sigma1(X[i+14]) + add w1,w1,w10 + add w26,w26,w22 // d+=h + add w22,w22,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + add w1,w1,w7 + add w22,w22,w17 // h+=Sigma0(a) + add w1,w1,w6 + ldr w6,[sp,#12] + str w9,[sp,#8] + ror w16,w26,#6 + add w21,w21,w19 // h+=K[i] + ror w8,w3,#7 + and w17,w27,w26 + ror w7,w0,#17 + bic w19,w20,w26 + ror w9,w22,#2 + add w21,w21,w1 // h+=X[i] + eor w16,w16,w26,ror#11 + eor w8,w8,w3,ror#18 + orr w17,w17,w19 // Ch(e,f,g) + eor w19,w22,w23 // a^b, b^c in next round + eor w16,w16,w26,ror#25 // Sigma1(e) + eor w9,w9,w22,ror#13 + add w21,w21,w17 // h+=Ch(e,f,g) + and w28,w28,w19 // (b^c)&=(a^b) + eor w7,w7,w0,ror#19 + eor w8,w8,w3,lsr#3 // sigma0(X[i+1]) + add w21,w21,w16 // h+=Sigma1(e) + eor w28,w28,w23 // Maj(a,b,c) + eor w17,w9,w22,ror#22 // Sigma0(a) + eor w7,w7,w0,lsr#10 // sigma1(X[i+14]) + add w2,w2,w11 + add w25,w25,w21 // d+=h + add w21,w21,w28 // h+=Maj(a,b,c) + ldr w28,[x30],#4 // *K++, w19 in next round + add w2,w2,w8 + add w21,w21,w17 // h+=Sigma0(a) + add w2,w2,w7 + ldr w7,[sp,#0] + str w10,[sp,#12] + ror w16,w25,#6 + add w20,w20,w28 // h+=K[i] + ror w9,w4,#7 + and w17,w26,w25 + ror w8,w1,#17 + bic w28,w27,w25 + ror w10,w21,#2 + add w20,w20,w2 // h+=X[i] + eor w16,w16,w25,ror#11 + eor w9,w9,w4,ror#18 + orr w17,w17,w28 // Ch(e,f,g) + eor w28,w21,w22 // a^b, b^c in next round + eor w16,w16,w25,ror#25 // Sigma1(e) + eor w10,w10,w21,ror#13 + add w20,w20,w17 // h+=Ch(e,f,g) + and w19,w19,w28 // (b^c)&=(a^b) + eor w8,w8,w1,ror#19 + eor w9,w9,w4,lsr#3 // sigma0(X[i+1]) + add w20,w20,w16 // h+=Sigma1(e) + eor w19,w19,w22 // Maj(a,b,c) + eor w17,w10,w21,ror#22 // Sigma0(a) + eor w8,w8,w1,lsr#10 // sigma1(X[i+14]) + add w3,w3,w12 + add w24,w24,w20 // d+=h + add w20,w20,w19 // h+=Maj(a,b,c) + ldr w19,[x30],#4 // *K++, w28 in next round + add w3,w3,w9 + add w20,w20,w17 // h+=Sigma0(a) + add w3,w3,w8 + cbnz w19,.Loop_16_xx + + ldp x0,x2,[x29,#12*__SIZEOF_POINTER__] + ldr x1,[x29,#14*__SIZEOF_POINTER__] + sub x30,x30,#260 + + ldp w3,w4,[x0] + ldp w5,w6,[x0,#2*4] + add x1,x1,#14*4 + ldp w7,w8,[x0,#4*4] + add w20,w20,w3 + ldp w9,w10,[x0,#6*4] + add w21,w21,w4 + add w22,w22,w5 + add w23,w23,w6 + stp w20,w21,[x0] + add w24,w24,w7 + add w25,w25,w8 + stp w22,w23,[x0,#2*4] + add w26,w26,w9 + add w27,w27,w10 + cmp x1,x2 + stp w24,w25,[x0,#4*4] + stp w26,w27,[x0,#6*4] + b.ne .Loop + + ldp x19,x20,[x29,#2*__SIZEOF_POINTER__] + add sp,sp,#4*4 + ldp x21,x22,[x29,#4*__SIZEOF_POINTER__] + ldp x23,x24,[x29,#6*__SIZEOF_POINTER__] + ldp x25,x26,[x29,#8*__SIZEOF_POINTER__] + ldp x27,x28,[x29,#10*__SIZEOF_POINTER__] + ldp x29,x30,[sp],#16*__SIZEOF_POINTER__ +.inst 0xd50323bf // autiasp + ret +.size crypton_sha256_asm_block_data_order,.-crypton_sha256_asm_block_data_order + +.align 6 +.type .LK256,%object +.LK256: +.long 0x428a2f98,0x71374491,0xb5c0fbcf,0xe9b5dba5 +.long 0x3956c25b,0x59f111f1,0x923f82a4,0xab1c5ed5 +.long 0xd807aa98,0x12835b01,0x243185be,0x550c7dc3 +.long 0x72be5d74,0x80deb1fe,0x9bdc06a7,0xc19bf174 +.long 0xe49b69c1,0xefbe4786,0x0fc19dc6,0x240ca1cc +.long 0x2de92c6f,0x4a7484aa,0x5cb0a9dc,0x76f988da +.long 0x983e5152,0xa831c66d,0xb00327c8,0xbf597fc7 +.long 0xc6e00bf3,0xd5a79147,0x06ca6351,0x14292967 +.long 0x27b70a85,0x2e1b2138,0x4d2c6dfc,0x53380d13 +.long 0x650a7354,0x766a0abb,0x81c2c92e,0x92722c85 +.long 0xa2bfe8a1,0xa81a664b,0xc24b8b70,0xc76c51a3 +.long 0xd192e819,0xd6990624,0xf40e3585,0x106aa070 +.long 0x19a4c116,0x1e376c08,0x2748774c,0x34b0bcb5 +.long 0x391c0cb3,0x4ed8aa4a,0x5b9cca4f,0x682e6ff3 +.long 0x748f82ee,0x78a5636f,0x84c87814,0x8cc70208 +.long 0x90befffa,0xa4506ceb,0xbef9a3f7,0xc67178f2 +.long 0 //terminator +.size .LK256,.-.LK256 +.byte 83,72,65,50,53,54,32,98,108,111,99,107,32,116,114,97,110,115,102,111,114,109,32,102,111,114,32,65,82,77,118,56,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.align 2 +.align 2 +#ifndef __KERNEL__ +.type crypton_sha256_asm_block_armv8,%function +.align 6 +crypton_sha256_asm_block_armv8: +.Lv8_entry: + stp x29,x30,[sp,#-2*__SIZEOF_POINTER__]! + add x29,sp,#0 + + ld1 {v0.4s,v1.4s},[x0] + adr x3,.LK256 + +.Loop_hw: + ld1 {v4.16b,v5.16b,v6.16b,v7.16b},[x1],#64 + sub x2,x2,#1 + ld1 {v16.4s},[x3],#16 + rev32 v4.16b,v4.16b + rev32 v5.16b,v5.16b + rev32 v6.16b,v6.16b + rev32 v7.16b,v7.16b + orr v18.16b,v0.16b,v0.16b // offload + orr v19.16b,v1.16b,v1.16b + ld1 {v17.4s},[x3],#16 + add v16.4s,v16.4s,v4.4s +.inst 0x5e2828a4 //sha256su0 v4.16b,v5.16b + orr v2.16b,v0.16b,v0.16b +.inst 0x5e104020 //sha256h v0.16b,v1.16b,v16.4s +.inst 0x5e105041 //sha256h2 v1.16b,v2.16b,v16.4s +.inst 0x5e0760c4 //sha256su1 v4.16b,v6.16b,v7.16b + ld1 {v16.4s},[x3],#16 + add v17.4s,v17.4s,v5.4s +.inst 0x5e2828c5 //sha256su0 v5.16b,v6.16b + orr v2.16b,v0.16b,v0.16b +.inst 0x5e114020 //sha256h v0.16b,v1.16b,v17.4s +.inst 0x5e115041 //sha256h2 v1.16b,v2.16b,v17.4s +.inst 0x5e0460e5 //sha256su1 v5.16b,v7.16b,v4.16b + ld1 {v17.4s},[x3],#16 + add v16.4s,v16.4s,v6.4s +.inst 0x5e2828e6 //sha256su0 v6.16b,v7.16b + orr v2.16b,v0.16b,v0.16b +.inst 0x5e104020 //sha256h v0.16b,v1.16b,v16.4s +.inst 0x5e105041 //sha256h2 v1.16b,v2.16b,v16.4s +.inst 0x5e056086 //sha256su1 v6.16b,v4.16b,v5.16b + ld1 {v16.4s},[x3],#16 + add v17.4s,v17.4s,v7.4s +.inst 0x5e282887 //sha256su0 v7.16b,v4.16b + orr v2.16b,v0.16b,v0.16b +.inst 0x5e114020 //sha256h v0.16b,v1.16b,v17.4s +.inst 0x5e115041 //sha256h2 v1.16b,v2.16b,v17.4s +.inst 0x5e0660a7 //sha256su1 v7.16b,v5.16b,v6.16b + ld1 {v17.4s},[x3],#16 + add v16.4s,v16.4s,v4.4s +.inst 0x5e2828a4 //sha256su0 v4.16b,v5.16b + orr v2.16b,v0.16b,v0.16b +.inst 0x5e104020 //sha256h v0.16b,v1.16b,v16.4s +.inst 0x5e105041 //sha256h2 v1.16b,v2.16b,v16.4s +.inst 0x5e0760c4 //sha256su1 v4.16b,v6.16b,v7.16b + ld1 {v16.4s},[x3],#16 + add v17.4s,v17.4s,v5.4s +.inst 0x5e2828c5 //sha256su0 v5.16b,v6.16b + orr v2.16b,v0.16b,v0.16b +.inst 0x5e114020 //sha256h v0.16b,v1.16b,v17.4s +.inst 0x5e115041 //sha256h2 v1.16b,v2.16b,v17.4s +.inst 0x5e0460e5 //sha256su1 v5.16b,v7.16b,v4.16b + ld1 {v17.4s},[x3],#16 + add v16.4s,v16.4s,v6.4s +.inst 0x5e2828e6 //sha256su0 v6.16b,v7.16b + orr v2.16b,v0.16b,v0.16b +.inst 0x5e104020 //sha256h v0.16b,v1.16b,v16.4s +.inst 0x5e105041 //sha256h2 v1.16b,v2.16b,v16.4s +.inst 0x5e056086 //sha256su1 v6.16b,v4.16b,v5.16b + ld1 {v16.4s},[x3],#16 + add v17.4s,v17.4s,v7.4s +.inst 0x5e282887 //sha256su0 v7.16b,v4.16b + orr v2.16b,v0.16b,v0.16b +.inst 0x5e114020 //sha256h v0.16b,v1.16b,v17.4s +.inst 0x5e115041 //sha256h2 v1.16b,v2.16b,v17.4s +.inst 0x5e0660a7 //sha256su1 v7.16b,v5.16b,v6.16b + ld1 {v17.4s},[x3],#16 + add v16.4s,v16.4s,v4.4s +.inst 0x5e2828a4 //sha256su0 v4.16b,v5.16b + orr v2.16b,v0.16b,v0.16b +.inst 0x5e104020 //sha256h v0.16b,v1.16b,v16.4s +.inst 0x5e105041 //sha256h2 v1.16b,v2.16b,v16.4s +.inst 0x5e0760c4 //sha256su1 v4.16b,v6.16b,v7.16b + ld1 {v16.4s},[x3],#16 + add v17.4s,v17.4s,v5.4s +.inst 0x5e2828c5 //sha256su0 v5.16b,v6.16b + orr v2.16b,v0.16b,v0.16b +.inst 0x5e114020 //sha256h v0.16b,v1.16b,v17.4s +.inst 0x5e115041 //sha256h2 v1.16b,v2.16b,v17.4s +.inst 0x5e0460e5 //sha256su1 v5.16b,v7.16b,v4.16b + ld1 {v17.4s},[x3],#16 + add v16.4s,v16.4s,v6.4s +.inst 0x5e2828e6 //sha256su0 v6.16b,v7.16b + orr v2.16b,v0.16b,v0.16b +.inst 0x5e104020 //sha256h v0.16b,v1.16b,v16.4s +.inst 0x5e105041 //sha256h2 v1.16b,v2.16b,v16.4s +.inst 0x5e056086 //sha256su1 v6.16b,v4.16b,v5.16b + ld1 {v16.4s},[x3],#16 + add v17.4s,v17.4s,v7.4s +.inst 0x5e282887 //sha256su0 v7.16b,v4.16b + orr v2.16b,v0.16b,v0.16b +.inst 0x5e114020 //sha256h v0.16b,v1.16b,v17.4s +.inst 0x5e115041 //sha256h2 v1.16b,v2.16b,v17.4s +.inst 0x5e0660a7 //sha256su1 v7.16b,v5.16b,v6.16b + ld1 {v17.4s},[x3],#16 + add v16.4s,v16.4s,v4.4s + orr v2.16b,v0.16b,v0.16b +.inst 0x5e104020 //sha256h v0.16b,v1.16b,v16.4s +.inst 0x5e105041 //sha256h2 v1.16b,v2.16b,v16.4s + + ld1 {v16.4s},[x3],#16 + add v17.4s,v17.4s,v5.4s + orr v2.16b,v0.16b,v0.16b +.inst 0x5e114020 //sha256h v0.16b,v1.16b,v17.4s +.inst 0x5e115041 //sha256h2 v1.16b,v2.16b,v17.4s + + ld1 {v17.4s},[x3] + add v16.4s,v16.4s,v6.4s + sub x3,x3,#64*4-16 + orr v2.16b,v0.16b,v0.16b +.inst 0x5e104020 //sha256h v0.16b,v1.16b,v16.4s +.inst 0x5e105041 //sha256h2 v1.16b,v2.16b,v16.4s + + add v17.4s,v17.4s,v7.4s + orr v2.16b,v0.16b,v0.16b +.inst 0x5e114020 //sha256h v0.16b,v1.16b,v17.4s +.inst 0x5e115041 //sha256h2 v1.16b,v2.16b,v17.4s + + add v0.4s,v0.4s,v18.4s + add v1.4s,v1.4s,v19.4s + + cbnz x2,.Loop_hw + + st1 {v0.4s,v1.4s},[x0] + + ldr x29,[sp],#2*__SIZEOF_POINTER__ + ret +.size crypton_sha256_asm_block_armv8,.-crypton_sha256_asm_block_armv8 +#endif +#ifdef __KERNEL__ +.globl crypton_sha256_asm_block_neon +#endif +.type crypton_sha256_asm_block_neon,%function +.align 4 +crypton_sha256_asm_block_neon: +.Lneon_entry: + stp x29, x30, [sp, #-2*__SIZEOF_POINTER__]! + mov x29, sp + sub sp,sp,#16*4 + + adr x16,.LK256 + add x2,x1,x2,lsl#6 // len to point at the end of inp + + ld1 {v0.16b},[x1], #16 + ld1 {v1.16b},[x1], #16 + ld1 {v2.16b},[x1], #16 + ld1 {v3.16b},[x1], #16 + ld1 {v4.4s},[x16], #16 + ld1 {v5.4s},[x16], #16 + ld1 {v6.4s},[x16], #16 + ld1 {v7.4s},[x16], #16 + rev32 v0.16b,v0.16b // yes, even on + rev32 v1.16b,v1.16b // big-endian + rev32 v2.16b,v2.16b + rev32 v3.16b,v3.16b + mov x17,sp + add v4.4s,v4.4s,v0.4s + add v5.4s,v5.4s,v1.4s + add v6.4s,v6.4s,v2.4s + st1 {v4.4s,v5.4s},[x17], #32 + add v7.4s,v7.4s,v3.4s + st1 {v6.4s,v7.4s},[x17] + sub x17,x17,#32 + + ldp w3,w4,[x0] + ldp w5,w6,[x0,#8] + ldp w7,w8,[x0,#16] + ldp w9,w10,[x0,#24] + ldr w12,[sp,#0] + mov w13,wzr + eor w14,w4,w5 + mov w15,wzr + b .L_00_48 + +.align 4 +.L_00_48: + ext v4.16b,v0.16b,v1.16b,#4 + add w10,w10,w12 + add w3,w3,w15 + and w12,w8,w7 + bic w15,w9,w7 + ext v7.16b,v2.16b,v3.16b,#4 + eor w11,w7,w7,ror#5 + add w3,w3,w13 + mov d19,v3.d[1] + orr w12,w12,w15 + eor w11,w11,w7,ror#19 + ushr v6.4s,v4.4s,#7 + eor w15,w3,w3,ror#11 + ushr v5.4s,v4.4s,#3 + add w10,w10,w12 + add v0.4s,v0.4s,v7.4s + ror w11,w11,#6 + sli v6.4s,v4.4s,#25 + eor w13,w3,w4 + eor w15,w15,w3,ror#20 + ushr v7.4s,v4.4s,#18 + add w10,w10,w11 + ldr w12,[sp,#4] + and w14,w14,w13 + eor v5.16b,v5.16b,v6.16b + ror w15,w15,#2 + add w6,w6,w10 + sli v7.4s,v4.4s,#14 + eor w14,w14,w4 + ushr v16.4s,v19.4s,#17 + add w9,w9,w12 + add w10,w10,w15 + and w12,w7,w6 + eor v5.16b,v5.16b,v7.16b + bic w15,w8,w6 + eor w11,w6,w6,ror#5 + sli v16.4s,v19.4s,#15 + add w10,w10,w14 + orr w12,w12,w15 + ushr v17.4s,v19.4s,#10 + eor w11,w11,w6,ror#19 + eor w15,w10,w10,ror#11 + ushr v7.4s,v19.4s,#19 + add w9,w9,w12 + ror w11,w11,#6 + add v0.4s,v0.4s,v5.4s + eor w14,w10,w3 + eor w15,w15,w10,ror#20 + sli v7.4s,v19.4s,#13 + add w9,w9,w11 + ldr w12,[sp,#8] + and w13,w13,w14 + eor v17.16b,v17.16b,v16.16b + ror w15,w15,#2 + add w5,w5,w9 + eor w13,w13,w3 + eor v17.16b,v17.16b,v7.16b + add w8,w8,w12 + add w9,w9,w15 + and w12,w6,w5 + add v0.4s,v0.4s,v17.4s + bic w15,w7,w5 + eor w11,w5,w5,ror#5 + add w9,w9,w13 + ushr v18.4s,v0.4s,#17 + orr w12,w12,w15 + ushr v19.4s,v0.4s,#10 + eor w11,w11,w5,ror#19 + eor w15,w9,w9,ror#11 + sli v18.4s,v0.4s,#15 + add w8,w8,w12 + ushr v17.4s,v0.4s,#19 + ror w11,w11,#6 + eor w13,w9,w10 + eor v19.16b,v19.16b,v18.16b + eor w15,w15,w9,ror#20 + add w8,w8,w11 + sli v17.4s,v0.4s,#13 + ldr w12,[sp,#12] + and w14,w14,w13 + ror w15,w15,#2 + ld1 {v4.4s},[x16], #16 + add w4,w4,w8 + eor v19.16b,v19.16b,v17.16b + eor w14,w14,w10 + eor v17.16b,v17.16b,v17.16b + add w7,w7,w12 + add w8,w8,w15 + and w12,w5,w4 + mov v17.d[1],v19.d[0] + bic w15,w6,w4 + eor w11,w4,w4,ror#5 + add w8,w8,w14 + add v0.4s,v0.4s,v17.4s + orr w12,w12,w15 + eor w11,w11,w4,ror#19 + eor w15,w8,w8,ror#11 + add v4.4s,v4.4s,v0.4s + add w7,w7,w12 + ror w11,w11,#6 + eor w14,w8,w9 + eor w15,w15,w8,ror#20 + add w7,w7,w11 + ldr w12,[sp,#16] + and w13,w13,w14 + ror w15,w15,#2 + add w3,w3,w7 + eor w13,w13,w9 + st1 {v4.4s},[x17], #16 + ext v4.16b,v1.16b,v2.16b,#4 + add w6,w6,w12 + add w7,w7,w15 + and w12,w4,w3 + bic w15,w5,w3 + ext v7.16b,v3.16b,v0.16b,#4 + eor w11,w3,w3,ror#5 + add w7,w7,w13 + mov d19,v0.d[1] + orr w12,w12,w15 + eor w11,w11,w3,ror#19 + ushr v6.4s,v4.4s,#7 + eor w15,w7,w7,ror#11 + ushr v5.4s,v4.4s,#3 + add w6,w6,w12 + add v1.4s,v1.4s,v7.4s + ror w11,w11,#6 + sli v6.4s,v4.4s,#25 + eor w13,w7,w8 + eor w15,w15,w7,ror#20 + ushr v7.4s,v4.4s,#18 + add w6,w6,w11 + ldr w12,[sp,#20] + and w14,w14,w13 + eor v5.16b,v5.16b,v6.16b + ror w15,w15,#2 + add w10,w10,w6 + sli v7.4s,v4.4s,#14 + eor w14,w14,w8 + ushr v16.4s,v19.4s,#17 + add w5,w5,w12 + add w6,w6,w15 + and w12,w3,w10 + eor v5.16b,v5.16b,v7.16b + bic w15,w4,w10 + eor w11,w10,w10,ror#5 + sli v16.4s,v19.4s,#15 + add w6,w6,w14 + orr w12,w12,w15 + ushr v17.4s,v19.4s,#10 + eor w11,w11,w10,ror#19 + eor w15,w6,w6,ror#11 + ushr v7.4s,v19.4s,#19 + add w5,w5,w12 + ror w11,w11,#6 + add v1.4s,v1.4s,v5.4s + eor w14,w6,w7 + eor w15,w15,w6,ror#20 + sli v7.4s,v19.4s,#13 + add w5,w5,w11 + ldr w12,[sp,#24] + and w13,w13,w14 + eor v17.16b,v17.16b,v16.16b + ror w15,w15,#2 + add w9,w9,w5 + eor w13,w13,w7 + eor v17.16b,v17.16b,v7.16b + add w4,w4,w12 + add w5,w5,w15 + and w12,w10,w9 + add v1.4s,v1.4s,v17.4s + bic w15,w3,w9 + eor w11,w9,w9,ror#5 + add w5,w5,w13 + ushr v18.4s,v1.4s,#17 + orr w12,w12,w15 + ushr v19.4s,v1.4s,#10 + eor w11,w11,w9,ror#19 + eor w15,w5,w5,ror#11 + sli v18.4s,v1.4s,#15 + add w4,w4,w12 + ushr v17.4s,v1.4s,#19 + ror w11,w11,#6 + eor w13,w5,w6 + eor v19.16b,v19.16b,v18.16b + eor w15,w15,w5,ror#20 + add w4,w4,w11 + sli v17.4s,v1.4s,#13 + ldr w12,[sp,#28] + and w14,w14,w13 + ror w15,w15,#2 + ld1 {v4.4s},[x16], #16 + add w8,w8,w4 + eor v19.16b,v19.16b,v17.16b + eor w14,w14,w6 + eor v17.16b,v17.16b,v17.16b + add w3,w3,w12 + add w4,w4,w15 + and w12,w9,w8 + mov v17.d[1],v19.d[0] + bic w15,w10,w8 + eor w11,w8,w8,ror#5 + add w4,w4,w14 + add v1.4s,v1.4s,v17.4s + orr w12,w12,w15 + eor w11,w11,w8,ror#19 + eor w15,w4,w4,ror#11 + add v4.4s,v4.4s,v1.4s + add w3,w3,w12 + ror w11,w11,#6 + eor w14,w4,w5 + eor w15,w15,w4,ror#20 + add w3,w3,w11 + ldr w12,[sp,#32] + and w13,w13,w14 + ror w15,w15,#2 + add w7,w7,w3 + eor w13,w13,w5 + st1 {v4.4s},[x17], #16 + ext v4.16b,v2.16b,v3.16b,#4 + add w10,w10,w12 + add w3,w3,w15 + and w12,w8,w7 + bic w15,w9,w7 + ext v7.16b,v0.16b,v1.16b,#4 + eor w11,w7,w7,ror#5 + add w3,w3,w13 + mov d19,v1.d[1] + orr w12,w12,w15 + eor w11,w11,w7,ror#19 + ushr v6.4s,v4.4s,#7 + eor w15,w3,w3,ror#11 + ushr v5.4s,v4.4s,#3 + add w10,w10,w12 + add v2.4s,v2.4s,v7.4s + ror w11,w11,#6 + sli v6.4s,v4.4s,#25 + eor w13,w3,w4 + eor w15,w15,w3,ror#20 + ushr v7.4s,v4.4s,#18 + add w10,w10,w11 + ldr w12,[sp,#36] + and w14,w14,w13 + eor v5.16b,v5.16b,v6.16b + ror w15,w15,#2 + add w6,w6,w10 + sli v7.4s,v4.4s,#14 + eor w14,w14,w4 + ushr v16.4s,v19.4s,#17 + add w9,w9,w12 + add w10,w10,w15 + and w12,w7,w6 + eor v5.16b,v5.16b,v7.16b + bic w15,w8,w6 + eor w11,w6,w6,ror#5 + sli v16.4s,v19.4s,#15 + add w10,w10,w14 + orr w12,w12,w15 + ushr v17.4s,v19.4s,#10 + eor w11,w11,w6,ror#19 + eor w15,w10,w10,ror#11 + ushr v7.4s,v19.4s,#19 + add w9,w9,w12 + ror w11,w11,#6 + add v2.4s,v2.4s,v5.4s + eor w14,w10,w3 + eor w15,w15,w10,ror#20 + sli v7.4s,v19.4s,#13 + add w9,w9,w11 + ldr w12,[sp,#40] + and w13,w13,w14 + eor v17.16b,v17.16b,v16.16b + ror w15,w15,#2 + add w5,w5,w9 + eor w13,w13,w3 + eor v17.16b,v17.16b,v7.16b + add w8,w8,w12 + add w9,w9,w15 + and w12,w6,w5 + add v2.4s,v2.4s,v17.4s + bic w15,w7,w5 + eor w11,w5,w5,ror#5 + add w9,w9,w13 + ushr v18.4s,v2.4s,#17 + orr w12,w12,w15 + ushr v19.4s,v2.4s,#10 + eor w11,w11,w5,ror#19 + eor w15,w9,w9,ror#11 + sli v18.4s,v2.4s,#15 + add w8,w8,w12 + ushr v17.4s,v2.4s,#19 + ror w11,w11,#6 + eor w13,w9,w10 + eor v19.16b,v19.16b,v18.16b + eor w15,w15,w9,ror#20 + add w8,w8,w11 + sli v17.4s,v2.4s,#13 + ldr w12,[sp,#44] + and w14,w14,w13 + ror w15,w15,#2 + ld1 {v4.4s},[x16], #16 + add w4,w4,w8 + eor v19.16b,v19.16b,v17.16b + eor w14,w14,w10 + eor v17.16b,v17.16b,v17.16b + add w7,w7,w12 + add w8,w8,w15 + and w12,w5,w4 + mov v17.d[1],v19.d[0] + bic w15,w6,w4 + eor w11,w4,w4,ror#5 + add w8,w8,w14 + add v2.4s,v2.4s,v17.4s + orr w12,w12,w15 + eor w11,w11,w4,ror#19 + eor w15,w8,w8,ror#11 + add v4.4s,v4.4s,v2.4s + add w7,w7,w12 + ror w11,w11,#6 + eor w14,w8,w9 + eor w15,w15,w8,ror#20 + add w7,w7,w11 + ldr w12,[sp,#48] + and w13,w13,w14 + ror w15,w15,#2 + add w3,w3,w7 + eor w13,w13,w9 + st1 {v4.4s},[x17], #16 + ext v4.16b,v3.16b,v0.16b,#4 + add w6,w6,w12 + add w7,w7,w15 + and w12,w4,w3 + bic w15,w5,w3 + ext v7.16b,v1.16b,v2.16b,#4 + eor w11,w3,w3,ror#5 + add w7,w7,w13 + mov d19,v2.d[1] + orr w12,w12,w15 + eor w11,w11,w3,ror#19 + ushr v6.4s,v4.4s,#7 + eor w15,w7,w7,ror#11 + ushr v5.4s,v4.4s,#3 + add w6,w6,w12 + add v3.4s,v3.4s,v7.4s + ror w11,w11,#6 + sli v6.4s,v4.4s,#25 + eor w13,w7,w8 + eor w15,w15,w7,ror#20 + ushr v7.4s,v4.4s,#18 + add w6,w6,w11 + ldr w12,[sp,#52] + and w14,w14,w13 + eor v5.16b,v5.16b,v6.16b + ror w15,w15,#2 + add w10,w10,w6 + sli v7.4s,v4.4s,#14 + eor w14,w14,w8 + ushr v16.4s,v19.4s,#17 + add w5,w5,w12 + add w6,w6,w15 + and w12,w3,w10 + eor v5.16b,v5.16b,v7.16b + bic w15,w4,w10 + eor w11,w10,w10,ror#5 + sli v16.4s,v19.4s,#15 + add w6,w6,w14 + orr w12,w12,w15 + ushr v17.4s,v19.4s,#10 + eor w11,w11,w10,ror#19 + eor w15,w6,w6,ror#11 + ushr v7.4s,v19.4s,#19 + add w5,w5,w12 + ror w11,w11,#6 + add v3.4s,v3.4s,v5.4s + eor w14,w6,w7 + eor w15,w15,w6,ror#20 + sli v7.4s,v19.4s,#13 + add w5,w5,w11 + ldr w12,[sp,#56] + and w13,w13,w14 + eor v17.16b,v17.16b,v16.16b + ror w15,w15,#2 + add w9,w9,w5 + eor w13,w13,w7 + eor v17.16b,v17.16b,v7.16b + add w4,w4,w12 + add w5,w5,w15 + and w12,w10,w9 + add v3.4s,v3.4s,v17.4s + bic w15,w3,w9 + eor w11,w9,w9,ror#5 + add w5,w5,w13 + ushr v18.4s,v3.4s,#17 + orr w12,w12,w15 + ushr v19.4s,v3.4s,#10 + eor w11,w11,w9,ror#19 + eor w15,w5,w5,ror#11 + sli v18.4s,v3.4s,#15 + add w4,w4,w12 + ushr v17.4s,v3.4s,#19 + ror w11,w11,#6 + eor w13,w5,w6 + eor v19.16b,v19.16b,v18.16b + eor w15,w15,w5,ror#20 + add w4,w4,w11 + sli v17.4s,v3.4s,#13 + ldr w12,[sp,#60] + and w14,w14,w13 + ror w15,w15,#2 + ld1 {v4.4s},[x16], #16 + add w8,w8,w4 + eor v19.16b,v19.16b,v17.16b + eor w14,w14,w6 + eor v17.16b,v17.16b,v17.16b + add w3,w3,w12 + add w4,w4,w15 + and w12,w9,w8 + mov v17.d[1],v19.d[0] + bic w15,w10,w8 + eor w11,w8,w8,ror#5 + add w4,w4,w14 + add v3.4s,v3.4s,v17.4s + orr w12,w12,w15 + eor w11,w11,w8,ror#19 + eor w15,w4,w4,ror#11 + add v4.4s,v4.4s,v3.4s + add w3,w3,w12 + ror w11,w11,#6 + eor w14,w4,w5 + eor w15,w15,w4,ror#20 + add w3,w3,w11 + ldr w12,[x16] + and w13,w13,w14 + ror w15,w15,#2 + add w7,w7,w3 + eor w13,w13,w5 + st1 {v4.4s},[x17], #16 + cmp w12,#0 // check for K256 terminator + ldr w12,[sp,#0] + sub x17,x17,#64 + bne .L_00_48 + + sub x16,x16,#256 + cmp x1,x2 + mov x17, #-64 + csel x17, x17, xzr, eq + add x1,x1,x17 + mov x17,sp + add w10,w10,w12 + add w3,w3,w15 + and w12,w8,w7 + ld1 {v0.16b},[x1],#16 + bic w15,w9,w7 + eor w11,w7,w7,ror#5 + ld1 {v4.4s},[x16],#16 + add w3,w3,w13 + orr w12,w12,w15 + eor w11,w11,w7,ror#19 + eor w15,w3,w3,ror#11 + rev32 v0.16b,v0.16b + add w10,w10,w12 + ror w11,w11,#6 + eor w13,w3,w4 + eor w15,w15,w3,ror#20 + add v4.4s,v4.4s,v0.4s + add w10,w10,w11 + ldr w12,[sp,#4] + and w14,w14,w13 + ror w15,w15,#2 + add w6,w6,w10 + eor w14,w14,w4 + add w9,w9,w12 + add w10,w10,w15 + and w12,w7,w6 + bic w15,w8,w6 + eor w11,w6,w6,ror#5 + add w10,w10,w14 + orr w12,w12,w15 + eor w11,w11,w6,ror#19 + eor w15,w10,w10,ror#11 + add w9,w9,w12 + ror w11,w11,#6 + eor w14,w10,w3 + eor w15,w15,w10,ror#20 + add w9,w9,w11 + ldr w12,[sp,#8] + and w13,w13,w14 + ror w15,w15,#2 + add w5,w5,w9 + eor w13,w13,w3 + add w8,w8,w12 + add w9,w9,w15 + and w12,w6,w5 + bic w15,w7,w5 + eor w11,w5,w5,ror#5 + add w9,w9,w13 + orr w12,w12,w15 + eor w11,w11,w5,ror#19 + eor w15,w9,w9,ror#11 + add w8,w8,w12 + ror w11,w11,#6 + eor w13,w9,w10 + eor w15,w15,w9,ror#20 + add w8,w8,w11 + ldr w12,[sp,#12] + and w14,w14,w13 + ror w15,w15,#2 + add w4,w4,w8 + eor w14,w14,w10 + add w7,w7,w12 + add w8,w8,w15 + and w12,w5,w4 + bic w15,w6,w4 + eor w11,w4,w4,ror#5 + add w8,w8,w14 + orr w12,w12,w15 + eor w11,w11,w4,ror#19 + eor w15,w8,w8,ror#11 + add w7,w7,w12 + ror w11,w11,#6 + eor w14,w8,w9 + eor w15,w15,w8,ror#20 + add w7,w7,w11 + ldr w12,[sp,#16] + and w13,w13,w14 + ror w15,w15,#2 + add w3,w3,w7 + eor w13,w13,w9 + st1 {v4.4s},[x17], #16 + add w6,w6,w12 + add w7,w7,w15 + and w12,w4,w3 + ld1 {v1.16b},[x1],#16 + bic w15,w5,w3 + eor w11,w3,w3,ror#5 + ld1 {v4.4s},[x16],#16 + add w7,w7,w13 + orr w12,w12,w15 + eor w11,w11,w3,ror#19 + eor w15,w7,w7,ror#11 + rev32 v1.16b,v1.16b + add w6,w6,w12 + ror w11,w11,#6 + eor w13,w7,w8 + eor w15,w15,w7,ror#20 + add v4.4s,v4.4s,v1.4s + add w6,w6,w11 + ldr w12,[sp,#20] + and w14,w14,w13 + ror w15,w15,#2 + add w10,w10,w6 + eor w14,w14,w8 + add w5,w5,w12 + add w6,w6,w15 + and w12,w3,w10 + bic w15,w4,w10 + eor w11,w10,w10,ror#5 + add w6,w6,w14 + orr w12,w12,w15 + eor w11,w11,w10,ror#19 + eor w15,w6,w6,ror#11 + add w5,w5,w12 + ror w11,w11,#6 + eor w14,w6,w7 + eor w15,w15,w6,ror#20 + add w5,w5,w11 + ldr w12,[sp,#24] + and w13,w13,w14 + ror w15,w15,#2 + add w9,w9,w5 + eor w13,w13,w7 + add w4,w4,w12 + add w5,w5,w15 + and w12,w10,w9 + bic w15,w3,w9 + eor w11,w9,w9,ror#5 + add w5,w5,w13 + orr w12,w12,w15 + eor w11,w11,w9,ror#19 + eor w15,w5,w5,ror#11 + add w4,w4,w12 + ror w11,w11,#6 + eor w13,w5,w6 + eor w15,w15,w5,ror#20 + add w4,w4,w11 + ldr w12,[sp,#28] + and w14,w14,w13 + ror w15,w15,#2 + add w8,w8,w4 + eor w14,w14,w6 + add w3,w3,w12 + add w4,w4,w15 + and w12,w9,w8 + bic w15,w10,w8 + eor w11,w8,w8,ror#5 + add w4,w4,w14 + orr w12,w12,w15 + eor w11,w11,w8,ror#19 + eor w15,w4,w4,ror#11 + add w3,w3,w12 + ror w11,w11,#6 + eor w14,w4,w5 + eor w15,w15,w4,ror#20 + add w3,w3,w11 + ldr w12,[sp,#32] + and w13,w13,w14 + ror w15,w15,#2 + add w7,w7,w3 + eor w13,w13,w5 + st1 {v4.4s},[x17], #16 + add w10,w10,w12 + add w3,w3,w15 + and w12,w8,w7 + ld1 {v2.16b},[x1],#16 + bic w15,w9,w7 + eor w11,w7,w7,ror#5 + ld1 {v4.4s},[x16],#16 + add w3,w3,w13 + orr w12,w12,w15 + eor w11,w11,w7,ror#19 + eor w15,w3,w3,ror#11 + rev32 v2.16b,v2.16b + add w10,w10,w12 + ror w11,w11,#6 + eor w13,w3,w4 + eor w15,w15,w3,ror#20 + add v4.4s,v4.4s,v2.4s + add w10,w10,w11 + ldr w12,[sp,#36] + and w14,w14,w13 + ror w15,w15,#2 + add w6,w6,w10 + eor w14,w14,w4 + add w9,w9,w12 + add w10,w10,w15 + and w12,w7,w6 + bic w15,w8,w6 + eor w11,w6,w6,ror#5 + add w10,w10,w14 + orr w12,w12,w15 + eor w11,w11,w6,ror#19 + eor w15,w10,w10,ror#11 + add w9,w9,w12 + ror w11,w11,#6 + eor w14,w10,w3 + eor w15,w15,w10,ror#20 + add w9,w9,w11 + ldr w12,[sp,#40] + and w13,w13,w14 + ror w15,w15,#2 + add w5,w5,w9 + eor w13,w13,w3 + add w8,w8,w12 + add w9,w9,w15 + and w12,w6,w5 + bic w15,w7,w5 + eor w11,w5,w5,ror#5 + add w9,w9,w13 + orr w12,w12,w15 + eor w11,w11,w5,ror#19 + eor w15,w9,w9,ror#11 + add w8,w8,w12 + ror w11,w11,#6 + eor w13,w9,w10 + eor w15,w15,w9,ror#20 + add w8,w8,w11 + ldr w12,[sp,#44] + and w14,w14,w13 + ror w15,w15,#2 + add w4,w4,w8 + eor w14,w14,w10 + add w7,w7,w12 + add w8,w8,w15 + and w12,w5,w4 + bic w15,w6,w4 + eor w11,w4,w4,ror#5 + add w8,w8,w14 + orr w12,w12,w15 + eor w11,w11,w4,ror#19 + eor w15,w8,w8,ror#11 + add w7,w7,w12 + ror w11,w11,#6 + eor w14,w8,w9 + eor w15,w15,w8,ror#20 + add w7,w7,w11 + ldr w12,[sp,#48] + and w13,w13,w14 + ror w15,w15,#2 + add w3,w3,w7 + eor w13,w13,w9 + st1 {v4.4s},[x17], #16 + add w6,w6,w12 + add w7,w7,w15 + and w12,w4,w3 + ld1 {v3.16b},[x1],#16 + bic w15,w5,w3 + eor w11,w3,w3,ror#5 + ld1 {v4.4s},[x16],#16 + add w7,w7,w13 + orr w12,w12,w15 + eor w11,w11,w3,ror#19 + eor w15,w7,w7,ror#11 + rev32 v3.16b,v3.16b + add w6,w6,w12 + ror w11,w11,#6 + eor w13,w7,w8 + eor w15,w15,w7,ror#20 + add v4.4s,v4.4s,v3.4s + add w6,w6,w11 + ldr w12,[sp,#52] + and w14,w14,w13 + ror w15,w15,#2 + add w10,w10,w6 + eor w14,w14,w8 + add w5,w5,w12 + add w6,w6,w15 + and w12,w3,w10 + bic w15,w4,w10 + eor w11,w10,w10,ror#5 + add w6,w6,w14 + orr w12,w12,w15 + eor w11,w11,w10,ror#19 + eor w15,w6,w6,ror#11 + add w5,w5,w12 + ror w11,w11,#6 + eor w14,w6,w7 + eor w15,w15,w6,ror#20 + add w5,w5,w11 + ldr w12,[sp,#56] + and w13,w13,w14 + ror w15,w15,#2 + add w9,w9,w5 + eor w13,w13,w7 + add w4,w4,w12 + add w5,w5,w15 + and w12,w10,w9 + bic w15,w3,w9 + eor w11,w9,w9,ror#5 + add w5,w5,w13 + orr w12,w12,w15 + eor w11,w11,w9,ror#19 + eor w15,w5,w5,ror#11 + add w4,w4,w12 + ror w11,w11,#6 + eor w13,w5,w6 + eor w15,w15,w5,ror#20 + add w4,w4,w11 + ldr w12,[sp,#60] + and w14,w14,w13 + ror w15,w15,#2 + add w8,w8,w4 + eor w14,w14,w6 + add w3,w3,w12 + add w4,w4,w15 + and w12,w9,w8 + bic w15,w10,w8 + eor w11,w8,w8,ror#5 + add w4,w4,w14 + orr w12,w12,w15 + eor w11,w11,w8,ror#19 + eor w15,w4,w4,ror#11 + add w3,w3,w12 + ror w11,w11,#6 + eor w14,w4,w5 + eor w15,w15,w4,ror#20 + add w3,w3,w11 + and w13,w13,w14 + ror w15,w15,#2 + add w7,w7,w3 + eor w13,w13,w5 + st1 {v4.4s},[x17], #16 + add w3,w3,w15 // h+=Sigma0(a) from the past + ldp w11,w12,[x0,#0] + add w3,w3,w13 // h+=Maj(a,b,c) from the past + ldp w13,w14,[x0,#8] + add w3,w3,w11 // accumulate + add w4,w4,w12 + ldp w11,w12,[x0,#16] + add w5,w5,w13 + add w6,w6,w14 + ldp w13,w14,[x0,#24] + add w7,w7,w11 + add w8,w8,w12 + ldr w12,[sp,#0] + stp w3,w4,[x0,#0] + add w9,w9,w13 + mov w13,wzr + stp w5,w6,[x0,#8] + add w10,w10,w14 + stp w7,w8,[x0,#16] + eor w14,w4,w5 + stp w9,w10,[x0,#24] + mov w15,wzr + mov x17,sp + b.ne .L_00_48 + + ldr x29,[x29] + add sp,sp,#16*4+2*__SIZEOF_POINTER__ + ret +.size crypton_sha256_asm_block_neon,.-crypton_sha256_asm_block_neon +#if !defined(__KERNEL__) && !defined(_WIN64) +.comm crypton_armcap_P,4,4 +.hidden crypton_armcap_P +#endif + +.section .note.GNU-stack,"",%progbits diff --git a/cbits/asm/sha256-x86_64-elf.S b/cbits/asm/sha256-x86_64-elf.S new file mode 100644 --- /dev/null +++ b/cbits/asm/sha256-x86_64-elf.S @@ -0,0 +1,5463 @@ +.text + + +.globl crypton_sha256_asm_block_data_order +.type crypton_sha256_asm_block_data_order,@function +.align 16 +crypton_sha256_asm_block_data_order: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp + leaq crypton_ia32cap_P(%rip),%rax + movl 0(%rax),%r9d + movl 4(%rax),%r10d + movl 8(%rax),%eax + testl $536870912,%eax + jnz .Lshaext_shortcut + andl $296,%eax + cmpl $296,%eax + je .Lavx2_shortcut + andl $1073741824,%r9d + andl $268435968,%r10d + orl %r9d,%r10d + cmpl $1342177792,%r10d + je .Lavx_shortcut + testl $512,%r10d + jnz .Lssse3_shortcut + pushq %rbx +.cfi_offset %rbx,-24 + pushq %r12 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_offset %r15,-56 + shlq $4,%rdx + subq $64+24,%rsp + +.cfi_def_cfa %rsp,144 + + leaq (%rsi,%rdx,4),%rdx + movq %rdi,64+0(%rsp) + movq %rsi,64+8(%rsp) + movq %rdx,64+16(%rsp) + + movl 0(%rdi),%eax + movl 4(%rdi),%ebx + movl 8(%rdi),%ecx + movl 12(%rdi),%edx + movl 16(%rdi),%r8d + movl 20(%rdi),%r9d + movl 24(%rdi),%r10d + movl 28(%rdi),%r11d + jmp .Lloop + +.align 16 +.Lloop: + movl %ebx,%edi + leaq K256(%rip),%rbp + xorl %ecx,%edi + movl 0(%rsi),%r12d + movl %r8d,%r13d + movl %eax,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r9d,%r15d + + xorl %r8d,%r13d + rorl $9,%r14d + xorl %r10d,%r15d + + movl %r12d,0(%rsp) + xorl %eax,%r14d + andl %r8d,%r15d + + rorl $5,%r13d + addl %r11d,%r12d + xorl %r10d,%r15d + + rorl $11,%r14d + xorl %r8d,%r13d + addl %r15d,%r12d + + movl %eax,%r15d + addl (%rbp),%r12d + xorl %eax,%r14d + + xorl %ebx,%r15d + rorl $6,%r13d + movl %ebx,%r11d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r11d + addl %r12d,%edx + addl %r12d,%r11d + + leaq 4(%rbp),%rbp + addl %r14d,%r11d + movl 4(%rsi),%r12d + movl %edx,%r13d + movl %r11d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r8d,%edi + + xorl %edx,%r13d + rorl $9,%r14d + xorl %r9d,%edi + + movl %r12d,4(%rsp) + xorl %r11d,%r14d + andl %edx,%edi + + rorl $5,%r13d + addl %r10d,%r12d + xorl %r9d,%edi + + rorl $11,%r14d + xorl %edx,%r13d + addl %edi,%r12d + + movl %r11d,%edi + addl (%rbp),%r12d + xorl %r11d,%r14d + + xorl %eax,%edi + rorl $6,%r13d + movl %eax,%r10d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r10d + addl %r12d,%ecx + addl %r12d,%r10d + + leaq 4(%rbp),%rbp + addl %r14d,%r10d + movl 8(%rsi),%r12d + movl %ecx,%r13d + movl %r10d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %edx,%r15d + + xorl %ecx,%r13d + rorl $9,%r14d + xorl %r8d,%r15d + + movl %r12d,8(%rsp) + xorl %r10d,%r14d + andl %ecx,%r15d + + rorl $5,%r13d + addl %r9d,%r12d + xorl %r8d,%r15d + + rorl $11,%r14d + xorl %ecx,%r13d + addl %r15d,%r12d + + movl %r10d,%r15d + addl (%rbp),%r12d + xorl %r10d,%r14d + + xorl %r11d,%r15d + rorl $6,%r13d + movl %r11d,%r9d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r9d + addl %r12d,%ebx + addl %r12d,%r9d + + leaq 4(%rbp),%rbp + addl %r14d,%r9d + movl 12(%rsi),%r12d + movl %ebx,%r13d + movl %r9d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %ecx,%edi + + xorl %ebx,%r13d + rorl $9,%r14d + xorl %edx,%edi + + movl %r12d,12(%rsp) + xorl %r9d,%r14d + andl %ebx,%edi + + rorl $5,%r13d + addl %r8d,%r12d + xorl %edx,%edi + + rorl $11,%r14d + xorl %ebx,%r13d + addl %edi,%r12d + + movl %r9d,%edi + addl (%rbp),%r12d + xorl %r9d,%r14d + + xorl %r10d,%edi + rorl $6,%r13d + movl %r10d,%r8d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r8d + addl %r12d,%eax + addl %r12d,%r8d + + leaq 20(%rbp),%rbp + addl %r14d,%r8d + movl 16(%rsi),%r12d + movl %eax,%r13d + movl %r8d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %ebx,%r15d + + xorl %eax,%r13d + rorl $9,%r14d + xorl %ecx,%r15d + + movl %r12d,16(%rsp) + xorl %r8d,%r14d + andl %eax,%r15d + + rorl $5,%r13d + addl %edx,%r12d + xorl %ecx,%r15d + + rorl $11,%r14d + xorl %eax,%r13d + addl %r15d,%r12d + + movl %r8d,%r15d + addl (%rbp),%r12d + xorl %r8d,%r14d + + xorl %r9d,%r15d + rorl $6,%r13d + movl %r9d,%edx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%edx + addl %r12d,%r11d + addl %r12d,%edx + + leaq 4(%rbp),%rbp + addl %r14d,%edx + movl 20(%rsi),%r12d + movl %r11d,%r13d + movl %edx,%r14d + bswapl %r12d + rorl $14,%r13d + movl %eax,%edi + + xorl %r11d,%r13d + rorl $9,%r14d + xorl %ebx,%edi + + movl %r12d,20(%rsp) + xorl %edx,%r14d + andl %r11d,%edi + + rorl $5,%r13d + addl %ecx,%r12d + xorl %ebx,%edi + + rorl $11,%r14d + xorl %r11d,%r13d + addl %edi,%r12d + + movl %edx,%edi + addl (%rbp),%r12d + xorl %edx,%r14d + + xorl %r8d,%edi + rorl $6,%r13d + movl %r8d,%ecx + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%ecx + addl %r12d,%r10d + addl %r12d,%ecx + + leaq 4(%rbp),%rbp + addl %r14d,%ecx + movl 24(%rsi),%r12d + movl %r10d,%r13d + movl %ecx,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r11d,%r15d + + xorl %r10d,%r13d + rorl $9,%r14d + xorl %eax,%r15d + + movl %r12d,24(%rsp) + xorl %ecx,%r14d + andl %r10d,%r15d + + rorl $5,%r13d + addl %ebx,%r12d + xorl %eax,%r15d + + rorl $11,%r14d + xorl %r10d,%r13d + addl %r15d,%r12d + + movl %ecx,%r15d + addl (%rbp),%r12d + xorl %ecx,%r14d + + xorl %edx,%r15d + rorl $6,%r13d + movl %edx,%ebx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%ebx + addl %r12d,%r9d + addl %r12d,%ebx + + leaq 4(%rbp),%rbp + addl %r14d,%ebx + movl 28(%rsi),%r12d + movl %r9d,%r13d + movl %ebx,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r10d,%edi + + xorl %r9d,%r13d + rorl $9,%r14d + xorl %r11d,%edi + + movl %r12d,28(%rsp) + xorl %ebx,%r14d + andl %r9d,%edi + + rorl $5,%r13d + addl %eax,%r12d + xorl %r11d,%edi + + rorl $11,%r14d + xorl %r9d,%r13d + addl %edi,%r12d + + movl %ebx,%edi + addl (%rbp),%r12d + xorl %ebx,%r14d + + xorl %ecx,%edi + rorl $6,%r13d + movl %ecx,%eax + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%eax + addl %r12d,%r8d + addl %r12d,%eax + + leaq 20(%rbp),%rbp + addl %r14d,%eax + movl 32(%rsi),%r12d + movl %r8d,%r13d + movl %eax,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r9d,%r15d + + xorl %r8d,%r13d + rorl $9,%r14d + xorl %r10d,%r15d + + movl %r12d,32(%rsp) + xorl %eax,%r14d + andl %r8d,%r15d + + rorl $5,%r13d + addl %r11d,%r12d + xorl %r10d,%r15d + + rorl $11,%r14d + xorl %r8d,%r13d + addl %r15d,%r12d + + movl %eax,%r15d + addl (%rbp),%r12d + xorl %eax,%r14d + + xorl %ebx,%r15d + rorl $6,%r13d + movl %ebx,%r11d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r11d + addl %r12d,%edx + addl %r12d,%r11d + + leaq 4(%rbp),%rbp + addl %r14d,%r11d + movl 36(%rsi),%r12d + movl %edx,%r13d + movl %r11d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r8d,%edi + + xorl %edx,%r13d + rorl $9,%r14d + xorl %r9d,%edi + + movl %r12d,36(%rsp) + xorl %r11d,%r14d + andl %edx,%edi + + rorl $5,%r13d + addl %r10d,%r12d + xorl %r9d,%edi + + rorl $11,%r14d + xorl %edx,%r13d + addl %edi,%r12d + + movl %r11d,%edi + addl (%rbp),%r12d + xorl %r11d,%r14d + + xorl %eax,%edi + rorl $6,%r13d + movl %eax,%r10d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r10d + addl %r12d,%ecx + addl %r12d,%r10d + + leaq 4(%rbp),%rbp + addl %r14d,%r10d + movl 40(%rsi),%r12d + movl %ecx,%r13d + movl %r10d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %edx,%r15d + + xorl %ecx,%r13d + rorl $9,%r14d + xorl %r8d,%r15d + + movl %r12d,40(%rsp) + xorl %r10d,%r14d + andl %ecx,%r15d + + rorl $5,%r13d + addl %r9d,%r12d + xorl %r8d,%r15d + + rorl $11,%r14d + xorl %ecx,%r13d + addl %r15d,%r12d + + movl %r10d,%r15d + addl (%rbp),%r12d + xorl %r10d,%r14d + + xorl %r11d,%r15d + rorl $6,%r13d + movl %r11d,%r9d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r9d + addl %r12d,%ebx + addl %r12d,%r9d + + leaq 4(%rbp),%rbp + addl %r14d,%r9d + movl 44(%rsi),%r12d + movl %ebx,%r13d + movl %r9d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %ecx,%edi + + xorl %ebx,%r13d + rorl $9,%r14d + xorl %edx,%edi + + movl %r12d,44(%rsp) + xorl %r9d,%r14d + andl %ebx,%edi + + rorl $5,%r13d + addl %r8d,%r12d + xorl %edx,%edi + + rorl $11,%r14d + xorl %ebx,%r13d + addl %edi,%r12d + + movl %r9d,%edi + addl (%rbp),%r12d + xorl %r9d,%r14d + + xorl %r10d,%edi + rorl $6,%r13d + movl %r10d,%r8d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r8d + addl %r12d,%eax + addl %r12d,%r8d + + leaq 20(%rbp),%rbp + addl %r14d,%r8d + movl 48(%rsi),%r12d + movl %eax,%r13d + movl %r8d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %ebx,%r15d + + xorl %eax,%r13d + rorl $9,%r14d + xorl %ecx,%r15d + + movl %r12d,48(%rsp) + xorl %r8d,%r14d + andl %eax,%r15d + + rorl $5,%r13d + addl %edx,%r12d + xorl %ecx,%r15d + + rorl $11,%r14d + xorl %eax,%r13d + addl %r15d,%r12d + + movl %r8d,%r15d + addl (%rbp),%r12d + xorl %r8d,%r14d + + xorl %r9d,%r15d + rorl $6,%r13d + movl %r9d,%edx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%edx + addl %r12d,%r11d + addl %r12d,%edx + + leaq 4(%rbp),%rbp + addl %r14d,%edx + movl 52(%rsi),%r12d + movl %r11d,%r13d + movl %edx,%r14d + bswapl %r12d + rorl $14,%r13d + movl %eax,%edi + + xorl %r11d,%r13d + rorl $9,%r14d + xorl %ebx,%edi + + movl %r12d,52(%rsp) + xorl %edx,%r14d + andl %r11d,%edi + + rorl $5,%r13d + addl %ecx,%r12d + xorl %ebx,%edi + + rorl $11,%r14d + xorl %r11d,%r13d + addl %edi,%r12d + + movl %edx,%edi + addl (%rbp),%r12d + xorl %edx,%r14d + + xorl %r8d,%edi + rorl $6,%r13d + movl %r8d,%ecx + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%ecx + addl %r12d,%r10d + addl %r12d,%ecx + + leaq 4(%rbp),%rbp + addl %r14d,%ecx + movl 56(%rsi),%r12d + movl %r10d,%r13d + movl %ecx,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r11d,%r15d + + xorl %r10d,%r13d + rorl $9,%r14d + xorl %eax,%r15d + + movl %r12d,56(%rsp) + xorl %ecx,%r14d + andl %r10d,%r15d + + rorl $5,%r13d + addl %ebx,%r12d + xorl %eax,%r15d + + rorl $11,%r14d + xorl %r10d,%r13d + addl %r15d,%r12d + + movl %ecx,%r15d + addl (%rbp),%r12d + xorl %ecx,%r14d + + xorl %edx,%r15d + rorl $6,%r13d + movl %edx,%ebx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%ebx + addl %r12d,%r9d + addl %r12d,%ebx + + leaq 4(%rbp),%rbp + addl %r14d,%ebx + movl 60(%rsi),%r12d + movl %r9d,%r13d + movl %ebx,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r10d,%edi + + xorl %r9d,%r13d + rorl $9,%r14d + xorl %r11d,%edi + + movl %r12d,60(%rsp) + xorl %ebx,%r14d + andl %r9d,%edi + + rorl $5,%r13d + addl %eax,%r12d + xorl %r11d,%edi + + rorl $11,%r14d + xorl %r9d,%r13d + addl %edi,%r12d + + movl %ebx,%edi + addl (%rbp),%r12d + xorl %ebx,%r14d + + xorl %ecx,%edi + rorl $6,%r13d + movl %ecx,%eax + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%eax + addl %r12d,%r8d + addl %r12d,%eax + + leaq 20(%rbp),%rbp + jmp .Lrounds_16_xx +.align 16 +.Lrounds_16_xx: + movl 4(%rsp),%r13d + movl 56(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%eax + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 36(%rsp),%r12d + + addl 0(%rsp),%r12d + movl %r8d,%r13d + addl %r15d,%r12d + movl %eax,%r14d + rorl $14,%r13d + movl %r9d,%r15d + + xorl %r8d,%r13d + rorl $9,%r14d + xorl %r10d,%r15d + + movl %r12d,0(%rsp) + xorl %eax,%r14d + andl %r8d,%r15d + + rorl $5,%r13d + addl %r11d,%r12d + xorl %r10d,%r15d + + rorl $11,%r14d + xorl %r8d,%r13d + addl %r15d,%r12d + + movl %eax,%r15d + addl (%rbp),%r12d + xorl %eax,%r14d + + xorl %ebx,%r15d + rorl $6,%r13d + movl %ebx,%r11d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r11d + addl %r12d,%edx + addl %r12d,%r11d + + leaq 4(%rbp),%rbp + movl 8(%rsp),%r13d + movl 60(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r11d + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 40(%rsp),%r12d + + addl 4(%rsp),%r12d + movl %edx,%r13d + addl %edi,%r12d + movl %r11d,%r14d + rorl $14,%r13d + movl %r8d,%edi + + xorl %edx,%r13d + rorl $9,%r14d + xorl %r9d,%edi + + movl %r12d,4(%rsp) + xorl %r11d,%r14d + andl %edx,%edi + + rorl $5,%r13d + addl %r10d,%r12d + xorl %r9d,%edi + + rorl $11,%r14d + xorl %edx,%r13d + addl %edi,%r12d + + movl %r11d,%edi + addl (%rbp),%r12d + xorl %r11d,%r14d + + xorl %eax,%edi + rorl $6,%r13d + movl %eax,%r10d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r10d + addl %r12d,%ecx + addl %r12d,%r10d + + leaq 4(%rbp),%rbp + movl 12(%rsp),%r13d + movl 0(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r10d + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 44(%rsp),%r12d + + addl 8(%rsp),%r12d + movl %ecx,%r13d + addl %r15d,%r12d + movl %r10d,%r14d + rorl $14,%r13d + movl %edx,%r15d + + xorl %ecx,%r13d + rorl $9,%r14d + xorl %r8d,%r15d + + movl %r12d,8(%rsp) + xorl %r10d,%r14d + andl %ecx,%r15d + + rorl $5,%r13d + addl %r9d,%r12d + xorl %r8d,%r15d + + rorl $11,%r14d + xorl %ecx,%r13d + addl %r15d,%r12d + + movl %r10d,%r15d + addl (%rbp),%r12d + xorl %r10d,%r14d + + xorl %r11d,%r15d + rorl $6,%r13d + movl %r11d,%r9d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r9d + addl %r12d,%ebx + addl %r12d,%r9d + + leaq 4(%rbp),%rbp + movl 16(%rsp),%r13d + movl 4(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r9d + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 48(%rsp),%r12d + + addl 12(%rsp),%r12d + movl %ebx,%r13d + addl %edi,%r12d + movl %r9d,%r14d + rorl $14,%r13d + movl %ecx,%edi + + xorl %ebx,%r13d + rorl $9,%r14d + xorl %edx,%edi + + movl %r12d,12(%rsp) + xorl %r9d,%r14d + andl %ebx,%edi + + rorl $5,%r13d + addl %r8d,%r12d + xorl %edx,%edi + + rorl $11,%r14d + xorl %ebx,%r13d + addl %edi,%r12d + + movl %r9d,%edi + addl (%rbp),%r12d + xorl %r9d,%r14d + + xorl %r10d,%edi + rorl $6,%r13d + movl %r10d,%r8d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r8d + addl %r12d,%eax + addl %r12d,%r8d + + leaq 20(%rbp),%rbp + movl 20(%rsp),%r13d + movl 8(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r8d + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 52(%rsp),%r12d + + addl 16(%rsp),%r12d + movl %eax,%r13d + addl %r15d,%r12d + movl %r8d,%r14d + rorl $14,%r13d + movl %ebx,%r15d + + xorl %eax,%r13d + rorl $9,%r14d + xorl %ecx,%r15d + + movl %r12d,16(%rsp) + xorl %r8d,%r14d + andl %eax,%r15d + + rorl $5,%r13d + addl %edx,%r12d + xorl %ecx,%r15d + + rorl $11,%r14d + xorl %eax,%r13d + addl %r15d,%r12d + + movl %r8d,%r15d + addl (%rbp),%r12d + xorl %r8d,%r14d + + xorl %r9d,%r15d + rorl $6,%r13d + movl %r9d,%edx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%edx + addl %r12d,%r11d + addl %r12d,%edx + + leaq 4(%rbp),%rbp + movl 24(%rsp),%r13d + movl 12(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%edx + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 56(%rsp),%r12d + + addl 20(%rsp),%r12d + movl %r11d,%r13d + addl %edi,%r12d + movl %edx,%r14d + rorl $14,%r13d + movl %eax,%edi + + xorl %r11d,%r13d + rorl $9,%r14d + xorl %ebx,%edi + + movl %r12d,20(%rsp) + xorl %edx,%r14d + andl %r11d,%edi + + rorl $5,%r13d + addl %ecx,%r12d + xorl %ebx,%edi + + rorl $11,%r14d + xorl %r11d,%r13d + addl %edi,%r12d + + movl %edx,%edi + addl (%rbp),%r12d + xorl %edx,%r14d + + xorl %r8d,%edi + rorl $6,%r13d + movl %r8d,%ecx + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%ecx + addl %r12d,%r10d + addl %r12d,%ecx + + leaq 4(%rbp),%rbp + movl 28(%rsp),%r13d + movl 16(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%ecx + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 60(%rsp),%r12d + + addl 24(%rsp),%r12d + movl %r10d,%r13d + addl %r15d,%r12d + movl %ecx,%r14d + rorl $14,%r13d + movl %r11d,%r15d + + xorl %r10d,%r13d + rorl $9,%r14d + xorl %eax,%r15d + + movl %r12d,24(%rsp) + xorl %ecx,%r14d + andl %r10d,%r15d + + rorl $5,%r13d + addl %ebx,%r12d + xorl %eax,%r15d + + rorl $11,%r14d + xorl %r10d,%r13d + addl %r15d,%r12d + + movl %ecx,%r15d + addl (%rbp),%r12d + xorl %ecx,%r14d + + xorl %edx,%r15d + rorl $6,%r13d + movl %edx,%ebx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%ebx + addl %r12d,%r9d + addl %r12d,%ebx + + leaq 4(%rbp),%rbp + movl 32(%rsp),%r13d + movl 20(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%ebx + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 0(%rsp),%r12d + + addl 28(%rsp),%r12d + movl %r9d,%r13d + addl %edi,%r12d + movl %ebx,%r14d + rorl $14,%r13d + movl %r10d,%edi + + xorl %r9d,%r13d + rorl $9,%r14d + xorl %r11d,%edi + + movl %r12d,28(%rsp) + xorl %ebx,%r14d + andl %r9d,%edi + + rorl $5,%r13d + addl %eax,%r12d + xorl %r11d,%edi + + rorl $11,%r14d + xorl %r9d,%r13d + addl %edi,%r12d + + movl %ebx,%edi + addl (%rbp),%r12d + xorl %ebx,%r14d + + xorl %ecx,%edi + rorl $6,%r13d + movl %ecx,%eax + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%eax + addl %r12d,%r8d + addl %r12d,%eax + + leaq 20(%rbp),%rbp + movl 36(%rsp),%r13d + movl 24(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%eax + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 4(%rsp),%r12d + + addl 32(%rsp),%r12d + movl %r8d,%r13d + addl %r15d,%r12d + movl %eax,%r14d + rorl $14,%r13d + movl %r9d,%r15d + + xorl %r8d,%r13d + rorl $9,%r14d + xorl %r10d,%r15d + + movl %r12d,32(%rsp) + xorl %eax,%r14d + andl %r8d,%r15d + + rorl $5,%r13d + addl %r11d,%r12d + xorl %r10d,%r15d + + rorl $11,%r14d + xorl %r8d,%r13d + addl %r15d,%r12d + + movl %eax,%r15d + addl (%rbp),%r12d + xorl %eax,%r14d + + xorl %ebx,%r15d + rorl $6,%r13d + movl %ebx,%r11d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r11d + addl %r12d,%edx + addl %r12d,%r11d + + leaq 4(%rbp),%rbp + movl 40(%rsp),%r13d + movl 28(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r11d + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 8(%rsp),%r12d + + addl 36(%rsp),%r12d + movl %edx,%r13d + addl %edi,%r12d + movl %r11d,%r14d + rorl $14,%r13d + movl %r8d,%edi + + xorl %edx,%r13d + rorl $9,%r14d + xorl %r9d,%edi + + movl %r12d,36(%rsp) + xorl %r11d,%r14d + andl %edx,%edi + + rorl $5,%r13d + addl %r10d,%r12d + xorl %r9d,%edi + + rorl $11,%r14d + xorl %edx,%r13d + addl %edi,%r12d + + movl %r11d,%edi + addl (%rbp),%r12d + xorl %r11d,%r14d + + xorl %eax,%edi + rorl $6,%r13d + movl %eax,%r10d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r10d + addl %r12d,%ecx + addl %r12d,%r10d + + leaq 4(%rbp),%rbp + movl 44(%rsp),%r13d + movl 32(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r10d + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 12(%rsp),%r12d + + addl 40(%rsp),%r12d + movl %ecx,%r13d + addl %r15d,%r12d + movl %r10d,%r14d + rorl $14,%r13d + movl %edx,%r15d + + xorl %ecx,%r13d + rorl $9,%r14d + xorl %r8d,%r15d + + movl %r12d,40(%rsp) + xorl %r10d,%r14d + andl %ecx,%r15d + + rorl $5,%r13d + addl %r9d,%r12d + xorl %r8d,%r15d + + rorl $11,%r14d + xorl %ecx,%r13d + addl %r15d,%r12d + + movl %r10d,%r15d + addl (%rbp),%r12d + xorl %r10d,%r14d + + xorl %r11d,%r15d + rorl $6,%r13d + movl %r11d,%r9d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r9d + addl %r12d,%ebx + addl %r12d,%r9d + + leaq 4(%rbp),%rbp + movl 48(%rsp),%r13d + movl 36(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r9d + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 16(%rsp),%r12d + + addl 44(%rsp),%r12d + movl %ebx,%r13d + addl %edi,%r12d + movl %r9d,%r14d + rorl $14,%r13d + movl %ecx,%edi + + xorl %ebx,%r13d + rorl $9,%r14d + xorl %edx,%edi + + movl %r12d,44(%rsp) + xorl %r9d,%r14d + andl %ebx,%edi + + rorl $5,%r13d + addl %r8d,%r12d + xorl %edx,%edi + + rorl $11,%r14d + xorl %ebx,%r13d + addl %edi,%r12d + + movl %r9d,%edi + addl (%rbp),%r12d + xorl %r9d,%r14d + + xorl %r10d,%edi + rorl $6,%r13d + movl %r10d,%r8d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r8d + addl %r12d,%eax + addl %r12d,%r8d + + leaq 20(%rbp),%rbp + movl 52(%rsp),%r13d + movl 40(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r8d + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 20(%rsp),%r12d + + addl 48(%rsp),%r12d + movl %eax,%r13d + addl %r15d,%r12d + movl %r8d,%r14d + rorl $14,%r13d + movl %ebx,%r15d + + xorl %eax,%r13d + rorl $9,%r14d + xorl %ecx,%r15d + + movl %r12d,48(%rsp) + xorl %r8d,%r14d + andl %eax,%r15d + + rorl $5,%r13d + addl %edx,%r12d + xorl %ecx,%r15d + + rorl $11,%r14d + xorl %eax,%r13d + addl %r15d,%r12d + + movl %r8d,%r15d + addl (%rbp),%r12d + xorl %r8d,%r14d + + xorl %r9d,%r15d + rorl $6,%r13d + movl %r9d,%edx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%edx + addl %r12d,%r11d + addl %r12d,%edx + + leaq 4(%rbp),%rbp + movl 56(%rsp),%r13d + movl 44(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%edx + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 24(%rsp),%r12d + + addl 52(%rsp),%r12d + movl %r11d,%r13d + addl %edi,%r12d + movl %edx,%r14d + rorl $14,%r13d + movl %eax,%edi + + xorl %r11d,%r13d + rorl $9,%r14d + xorl %ebx,%edi + + movl %r12d,52(%rsp) + xorl %edx,%r14d + andl %r11d,%edi + + rorl $5,%r13d + addl %ecx,%r12d + xorl %ebx,%edi + + rorl $11,%r14d + xorl %r11d,%r13d + addl %edi,%r12d + + movl %edx,%edi + addl (%rbp),%r12d + xorl %edx,%r14d + + xorl %r8d,%edi + rorl $6,%r13d + movl %r8d,%ecx + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%ecx + addl %r12d,%r10d + addl %r12d,%ecx + + leaq 4(%rbp),%rbp + movl 60(%rsp),%r13d + movl 48(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%ecx + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 28(%rsp),%r12d + + addl 56(%rsp),%r12d + movl %r10d,%r13d + addl %r15d,%r12d + movl %ecx,%r14d + rorl $14,%r13d + movl %r11d,%r15d + + xorl %r10d,%r13d + rorl $9,%r14d + xorl %eax,%r15d + + movl %r12d,56(%rsp) + xorl %ecx,%r14d + andl %r10d,%r15d + + rorl $5,%r13d + addl %ebx,%r12d + xorl %eax,%r15d + + rorl $11,%r14d + xorl %r10d,%r13d + addl %r15d,%r12d + + movl %ecx,%r15d + addl (%rbp),%r12d + xorl %ecx,%r14d + + xorl %edx,%r15d + rorl $6,%r13d + movl %edx,%ebx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%ebx + addl %r12d,%r9d + addl %r12d,%ebx + + leaq 4(%rbp),%rbp + movl 0(%rsp),%r13d + movl 52(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%ebx + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 32(%rsp),%r12d + + addl 60(%rsp),%r12d + movl %r9d,%r13d + addl %edi,%r12d + movl %ebx,%r14d + rorl $14,%r13d + movl %r10d,%edi + + xorl %r9d,%r13d + rorl $9,%r14d + xorl %r11d,%edi + + movl %r12d,60(%rsp) + xorl %ebx,%r14d + andl %r9d,%edi + + rorl $5,%r13d + addl %eax,%r12d + xorl %r11d,%edi + + rorl $11,%r14d + xorl %r9d,%r13d + addl %edi,%r12d + + movl %ebx,%edi + addl (%rbp),%r12d + xorl %ebx,%r14d + + xorl %ecx,%edi + rorl $6,%r13d + movl %ecx,%eax + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%eax + addl %r12d,%r8d + addl %r12d,%eax + + leaq 20(%rbp),%rbp + cmpb $0,3(%rbp) + jnz .Lrounds_16_xx + + movq 64+0(%rsp),%rdi + addl %r14d,%eax + leaq 64(%rsi),%rsi + + addl 0(%rdi),%eax + addl 4(%rdi),%ebx + addl 8(%rdi),%ecx + addl 12(%rdi),%edx + addl 16(%rdi),%r8d + addl 20(%rdi),%r9d + addl 24(%rdi),%r10d + addl 28(%rdi),%r11d + + cmpq 64+16(%rsp),%rsi + + movl %eax,0(%rdi) + movl %ebx,4(%rdi) + movl %ecx,8(%rdi) + movl %edx,12(%rdi) + movl %r8d,16(%rdi) + movl %r9d,20(%rdi) + movl %r10d,24(%rdi) + movl %r11d,28(%rdi) + jb .Lloop + + leaq 64+24+48(%rsp),%r11 +.cfi_def_cfa %r11,8 + movq 64+24(%rsp),%r15 + movq -40(%r11),%r14 + movq -32(%r11),%r13 + movq -24(%r11),%r12 + movq -16(%r11),%rbx + movq -8(%r11),%rbp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbp +.cfi_restore %rbx + leaq (%r11),%rsp + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_sha256_asm_block_data_order,.-crypton_sha256_asm_block_data_order +.align 64 +.type K256,@object +K256: +.long 0x428a2f98,0x71374491,0xb5c0fbcf,0xe9b5dba5 +.long 0x428a2f98,0x71374491,0xb5c0fbcf,0xe9b5dba5 +.long 0x3956c25b,0x59f111f1,0x923f82a4,0xab1c5ed5 +.long 0x3956c25b,0x59f111f1,0x923f82a4,0xab1c5ed5 +.long 0xd807aa98,0x12835b01,0x243185be,0x550c7dc3 +.long 0xd807aa98,0x12835b01,0x243185be,0x550c7dc3 +.long 0x72be5d74,0x80deb1fe,0x9bdc06a7,0xc19bf174 +.long 0x72be5d74,0x80deb1fe,0x9bdc06a7,0xc19bf174 +.long 0xe49b69c1,0xefbe4786,0x0fc19dc6,0x240ca1cc +.long 0xe49b69c1,0xefbe4786,0x0fc19dc6,0x240ca1cc +.long 0x2de92c6f,0x4a7484aa,0x5cb0a9dc,0x76f988da +.long 0x2de92c6f,0x4a7484aa,0x5cb0a9dc,0x76f988da +.long 0x983e5152,0xa831c66d,0xb00327c8,0xbf597fc7 +.long 0x983e5152,0xa831c66d,0xb00327c8,0xbf597fc7 +.long 0xc6e00bf3,0xd5a79147,0x06ca6351,0x14292967 +.long 0xc6e00bf3,0xd5a79147,0x06ca6351,0x14292967 +.long 0x27b70a85,0x2e1b2138,0x4d2c6dfc,0x53380d13 +.long 0x27b70a85,0x2e1b2138,0x4d2c6dfc,0x53380d13 +.long 0x650a7354,0x766a0abb,0x81c2c92e,0x92722c85 +.long 0x650a7354,0x766a0abb,0x81c2c92e,0x92722c85 +.long 0xa2bfe8a1,0xa81a664b,0xc24b8b70,0xc76c51a3 +.long 0xa2bfe8a1,0xa81a664b,0xc24b8b70,0xc76c51a3 +.long 0xd192e819,0xd6990624,0xf40e3585,0x106aa070 +.long 0xd192e819,0xd6990624,0xf40e3585,0x106aa070 +.long 0x19a4c116,0x1e376c08,0x2748774c,0x34b0bcb5 +.long 0x19a4c116,0x1e376c08,0x2748774c,0x34b0bcb5 +.long 0x391c0cb3,0x4ed8aa4a,0x5b9cca4f,0x682e6ff3 +.long 0x391c0cb3,0x4ed8aa4a,0x5b9cca4f,0x682e6ff3 +.long 0x748f82ee,0x78a5636f,0x84c87814,0x8cc70208 +.long 0x748f82ee,0x78a5636f,0x84c87814,0x8cc70208 +.long 0x90befffa,0xa4506ceb,0xbef9a3f7,0xc67178f2 +.long 0x90befffa,0xa4506ceb,0xbef9a3f7,0xc67178f2 + +.long 0x00010203,0x04050607,0x08090a0b,0x0c0d0e0f +.long 0x00010203,0x04050607,0x08090a0b,0x0c0d0e0f +.long 0x03020100,0x0b0a0908,0xffffffff,0xffffffff +.long 0x03020100,0x0b0a0908,0xffffffff,0xffffffff +.long 0xffffffff,0xffffffff,0x03020100,0x0b0a0908 +.long 0xffffffff,0xffffffff,0x03020100,0x0b0a0908 +.byte 83,72,65,50,53,54,32,98,108,111,99,107,32,116,114,97,110,115,102,111,114,109,32,102,111,114,32,120,56,54,95,54,52,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.type crypton_sha256_asm_block_data_order_shaext,@function +.align 64 +crypton_sha256_asm_block_data_order_shaext: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp +.Lshaext_shortcut: + + leaq K256+128(%rip),%rcx + movdqu (%rdi),%xmm1 + movdqu 16(%rdi),%xmm2 + movdqa 512-128(%rcx),%xmm7 + + pshufd $0x1b,%xmm1,%xmm0 + pshufd $0xb1,%xmm1,%xmm1 + pshufd $0x1b,%xmm2,%xmm2 + movdqa %xmm7,%xmm8 +.byte 102,15,58,15,202,8 + punpcklqdq %xmm0,%xmm2 + jmp .Loop_shaext + +.align 16 +.Loop_shaext: + movdqu (%rsi),%xmm3 + movdqu 16(%rsi),%xmm4 + movdqu 32(%rsi),%xmm5 +.byte 102,15,56,0,223 + movdqu 48(%rsi),%xmm6 + + movdqa 0-128(%rcx),%xmm0 + paddd %xmm3,%xmm0 +.byte 102,15,56,0,231 + movdqa %xmm2,%xmm10 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + nop + movdqa %xmm1,%xmm9 +.byte 15,56,203,202 + + movdqa 32-128(%rcx),%xmm0 + paddd %xmm4,%xmm0 +.byte 102,15,56,0,239 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + leaq 64(%rsi),%rsi +.byte 15,56,204,220 +.byte 15,56,203,202 + + movdqa 64-128(%rcx),%xmm0 + paddd %xmm5,%xmm0 +.byte 102,15,56,0,247 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm6,%xmm7 +.byte 102,15,58,15,253,4 + nop + paddd %xmm7,%xmm3 +.byte 15,56,204,229 +.byte 15,56,203,202 + + movdqa 96-128(%rcx),%xmm0 + paddd %xmm6,%xmm0 +.byte 15,56,205,222 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm3,%xmm7 +.byte 102,15,58,15,254,4 + nop + paddd %xmm7,%xmm4 +.byte 15,56,204,238 +.byte 15,56,203,202 + movdqa 128-128(%rcx),%xmm0 + paddd %xmm3,%xmm0 +.byte 15,56,205,227 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm4,%xmm7 +.byte 102,15,58,15,251,4 + nop + paddd %xmm7,%xmm5 +.byte 15,56,204,243 +.byte 15,56,203,202 + movdqa 160-128(%rcx),%xmm0 + paddd %xmm4,%xmm0 +.byte 15,56,205,236 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm5,%xmm7 +.byte 102,15,58,15,252,4 + nop + paddd %xmm7,%xmm6 +.byte 15,56,204,220 +.byte 15,56,203,202 + movdqa 192-128(%rcx),%xmm0 + paddd %xmm5,%xmm0 +.byte 15,56,205,245 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm6,%xmm7 +.byte 102,15,58,15,253,4 + nop + paddd %xmm7,%xmm3 +.byte 15,56,204,229 +.byte 15,56,203,202 + movdqa 224-128(%rcx),%xmm0 + paddd %xmm6,%xmm0 +.byte 15,56,205,222 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm3,%xmm7 +.byte 102,15,58,15,254,4 + nop + paddd %xmm7,%xmm4 +.byte 15,56,204,238 +.byte 15,56,203,202 + movdqa 256-128(%rcx),%xmm0 + paddd %xmm3,%xmm0 +.byte 15,56,205,227 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm4,%xmm7 +.byte 102,15,58,15,251,4 + nop + paddd %xmm7,%xmm5 +.byte 15,56,204,243 +.byte 15,56,203,202 + movdqa 288-128(%rcx),%xmm0 + paddd %xmm4,%xmm0 +.byte 15,56,205,236 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm5,%xmm7 +.byte 102,15,58,15,252,4 + nop + paddd %xmm7,%xmm6 +.byte 15,56,204,220 +.byte 15,56,203,202 + movdqa 320-128(%rcx),%xmm0 + paddd %xmm5,%xmm0 +.byte 15,56,205,245 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm6,%xmm7 +.byte 102,15,58,15,253,4 + nop + paddd %xmm7,%xmm3 +.byte 15,56,204,229 +.byte 15,56,203,202 + movdqa 352-128(%rcx),%xmm0 + paddd %xmm6,%xmm0 +.byte 15,56,205,222 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm3,%xmm7 +.byte 102,15,58,15,254,4 + nop + paddd %xmm7,%xmm4 +.byte 15,56,204,238 +.byte 15,56,203,202 + movdqa 384-128(%rcx),%xmm0 + paddd %xmm3,%xmm0 +.byte 15,56,205,227 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm4,%xmm7 +.byte 102,15,58,15,251,4 + nop + paddd %xmm7,%xmm5 +.byte 15,56,204,243 +.byte 15,56,203,202 + movdqa 416-128(%rcx),%xmm0 + paddd %xmm4,%xmm0 +.byte 15,56,205,236 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm5,%xmm7 +.byte 102,15,58,15,252,4 +.byte 15,56,203,202 + paddd %xmm7,%xmm6 + + movdqa 448-128(%rcx),%xmm0 + paddd %xmm5,%xmm0 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 +.byte 15,56,205,245 + movdqa %xmm8,%xmm7 +.byte 15,56,203,202 + + movdqa 480-128(%rcx),%xmm0 + paddd %xmm6,%xmm0 + nop +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + decq %rdx + nop +.byte 15,56,203,202 + + paddd %xmm10,%xmm2 + paddd %xmm9,%xmm1 + jnz .Loop_shaext + + pshufd $0xb1,%xmm2,%xmm2 + pshufd $0x1b,%xmm1,%xmm7 + pshufd $0xb1,%xmm1,%xmm1 + punpckhqdq %xmm2,%xmm1 +.byte 102,15,58,15,215,8 + + movdqu %xmm1,(%rdi) + movdqu %xmm2,16(%rdi) +.cfi_def_cfa_register %rsp + popq %rbp +.cfi_adjust_cfa_offset -8 +.cfi_restore %rbp + + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_sha256_asm_block_data_order_shaext,.-crypton_sha256_asm_block_data_order_shaext +.type crypton_sha256_asm_block_data_order_ssse3,@function +.align 64 +crypton_sha256_asm_block_data_order_ssse3: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp +.Lssse3_shortcut: + pushq %rbx +.cfi_offset %rbx,-24 + pushq %r12 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_offset %r15,-56 + shlq $4,%rdx + subq $24,%rsp + + leaq (%rsi,%rdx,4),%rdx + movq %rdi,-64(%rbp) + + movq %rdx,-48(%rbp) + + + leaq -64(%rsp),%rsp + movl 0(%rdi),%eax + andq $-64,%rsp + movl 4(%rdi),%ebx + movl 8(%rdi),%ecx + movl 12(%rdi),%edx + movl 16(%rdi),%r8d + movl 20(%rdi),%r9d + movl 24(%rdi),%r10d + movl 28(%rdi),%r11d + + + jmp .Lloop_ssse3 +.align 16 +.Lloop_ssse3: + movdqa K256+512(%rip),%xmm7 + movq %rsi,-56(%rbp) + movdqu 0(%rsi),%xmm0 + movdqu 16(%rsi),%xmm1 + movdqu 32(%rsi),%xmm2 +.byte 102,15,56,0,199 + movdqu 48(%rsi),%xmm3 + leaq K256(%rip),%rsi +.byte 102,15,56,0,207 + movdqa 0(%rsi),%xmm4 + movdqa 32(%rsi),%xmm5 +.byte 102,15,56,0,215 + paddd %xmm0,%xmm4 + movdqa 64(%rsi),%xmm6 +.byte 102,15,56,0,223 + movdqa 96(%rsi),%xmm7 + paddd %xmm1,%xmm5 + paddd %xmm2,%xmm6 + paddd %xmm3,%xmm7 + movdqa %xmm4,0(%rsp) + movl %eax,%r14d + movdqa %xmm5,16(%rsp) + movl %ebx,%edi + movdqa %xmm6,32(%rsp) + xorl %ecx,%edi + movdqa %xmm7,48(%rsp) + movl %r8d,%r13d + jmp .Lssse3_00_47 + +.align 16 +.Lssse3_00_47: + subq $-128,%rsi + rorl $14,%r13d + movdqa %xmm1,%xmm4 + movl %r14d,%eax + movl %r9d,%r12d + movdqa %xmm3,%xmm7 + rorl $9,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + rorl $5,%r13d + xorl %eax,%r14d +.byte 102,15,58,15,224,4 + andl %r8d,%r12d + xorl %r8d,%r13d +.byte 102,15,58,15,250,4 + addl 0(%rsp),%r11d + movl %eax,%r15d + xorl %r10d,%r12d + rorl $11,%r14d + movdqa %xmm4,%xmm5 + xorl %ebx,%r15d + addl %r12d,%r11d + movdqa %xmm4,%xmm6 + rorl $6,%r13d + andl %r15d,%edi + psrld $3,%xmm4 + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + paddd %xmm7,%xmm0 + rorl $2,%r14d + addl %r11d,%edx + psrld $7,%xmm6 + addl %edi,%r11d + movl %edx,%r13d + pshufd $250,%xmm3,%xmm7 + addl %r11d,%r14d + rorl $14,%r13d + pslld $14,%xmm5 + movl %r14d,%r11d + movl %r8d,%r12d + pxor %xmm6,%xmm4 + rorl $9,%r14d + xorl %edx,%r13d + xorl %r9d,%r12d + rorl $5,%r13d + psrld $11,%xmm6 + xorl %r11d,%r14d + pxor %xmm5,%xmm4 + andl %edx,%r12d + xorl %edx,%r13d + pslld $11,%xmm5 + addl 4(%rsp),%r10d + movl %r11d,%edi + pxor %xmm6,%xmm4 + xorl %r9d,%r12d + rorl $11,%r14d + movdqa %xmm7,%xmm6 + xorl %eax,%edi + addl %r12d,%r10d + pxor %xmm5,%xmm4 + rorl $6,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + psrld $10,%xmm7 + addl %r13d,%r10d + xorl %eax,%r15d + paddd %xmm4,%xmm0 + rorl $2,%r14d + addl %r10d,%ecx + psrlq $17,%xmm6 + addl %r15d,%r10d + movl %ecx,%r13d + addl %r10d,%r14d + pxor %xmm6,%xmm7 + rorl $14,%r13d + movl %r14d,%r10d + movl %edx,%r12d + rorl $9,%r14d + psrlq $2,%xmm6 + xorl %ecx,%r13d + xorl %r8d,%r12d + pxor %xmm6,%xmm7 + rorl $5,%r13d + xorl %r10d,%r14d + andl %ecx,%r12d + pshufd $128,%xmm7,%xmm7 + xorl %ecx,%r13d + addl 8(%rsp),%r9d + movl %r10d,%r15d + psrldq $8,%xmm7 + xorl %r8d,%r12d + rorl $11,%r14d + xorl %r11d,%r15d + addl %r12d,%r9d + rorl $6,%r13d + paddd %xmm7,%xmm0 + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + pshufd $80,%xmm0,%xmm7 + xorl %r11d,%edi + rorl $2,%r14d + addl %r9d,%ebx + movdqa %xmm7,%xmm6 + addl %edi,%r9d + movl %ebx,%r13d + psrld $10,%xmm7 + addl %r9d,%r14d + rorl $14,%r13d + psrlq $17,%xmm6 + movl %r14d,%r9d + movl %ecx,%r12d + pxor %xmm6,%xmm7 + rorl $9,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + rorl $5,%r13d + xorl %r9d,%r14d + psrlq $2,%xmm6 + andl %ebx,%r12d + xorl %ebx,%r13d + addl 12(%rsp),%r8d + pxor %xmm6,%xmm7 + movl %r9d,%edi + xorl %edx,%r12d + rorl $11,%r14d + pshufd $8,%xmm7,%xmm7 + xorl %r10d,%edi + addl %r12d,%r8d + movdqa 0(%rsi),%xmm6 + rorl $6,%r13d + andl %edi,%r15d + pslldq $8,%xmm7 + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + paddd %xmm7,%xmm0 + rorl $2,%r14d + addl %r8d,%eax + addl %r15d,%r8d + paddd %xmm0,%xmm6 + movl %eax,%r13d + addl %r8d,%r14d + movdqa %xmm6,0(%rsp) + rorl $14,%r13d + movdqa %xmm2,%xmm4 + movl %r14d,%r8d + movl %ebx,%r12d + movdqa %xmm0,%xmm7 + rorl $9,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + rorl $5,%r13d + xorl %r8d,%r14d +.byte 102,15,58,15,225,4 + andl %eax,%r12d + xorl %eax,%r13d +.byte 102,15,58,15,251,4 + addl 16(%rsp),%edx + movl %r8d,%r15d + xorl %ecx,%r12d + rorl $11,%r14d + movdqa %xmm4,%xmm5 + xorl %r9d,%r15d + addl %r12d,%edx + movdqa %xmm4,%xmm6 + rorl $6,%r13d + andl %r15d,%edi + psrld $3,%xmm4 + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + paddd %xmm7,%xmm1 + rorl $2,%r14d + addl %edx,%r11d + psrld $7,%xmm6 + addl %edi,%edx + movl %r11d,%r13d + pshufd $250,%xmm0,%xmm7 + addl %edx,%r14d + rorl $14,%r13d + pslld $14,%xmm5 + movl %r14d,%edx + movl %eax,%r12d + pxor %xmm6,%xmm4 + rorl $9,%r14d + xorl %r11d,%r13d + xorl %ebx,%r12d + rorl $5,%r13d + psrld $11,%xmm6 + xorl %edx,%r14d + pxor %xmm5,%xmm4 + andl %r11d,%r12d + xorl %r11d,%r13d + pslld $11,%xmm5 + addl 20(%rsp),%ecx + movl %edx,%edi + pxor %xmm6,%xmm4 + xorl %ebx,%r12d + rorl $11,%r14d + movdqa %xmm7,%xmm6 + xorl %r8d,%edi + addl %r12d,%ecx + pxor %xmm5,%xmm4 + rorl $6,%r13d + andl %edi,%r15d + xorl %edx,%r14d + psrld $10,%xmm7 + addl %r13d,%ecx + xorl %r8d,%r15d + paddd %xmm4,%xmm1 + rorl $2,%r14d + addl %ecx,%r10d + psrlq $17,%xmm6 + addl %r15d,%ecx + movl %r10d,%r13d + addl %ecx,%r14d + pxor %xmm6,%xmm7 + rorl $14,%r13d + movl %r14d,%ecx + movl %r11d,%r12d + rorl $9,%r14d + psrlq $2,%xmm6 + xorl %r10d,%r13d + xorl %eax,%r12d + pxor %xmm6,%xmm7 + rorl $5,%r13d + xorl %ecx,%r14d + andl %r10d,%r12d + pshufd $128,%xmm7,%xmm7 + xorl %r10d,%r13d + addl 24(%rsp),%ebx + movl %ecx,%r15d + psrldq $8,%xmm7 + xorl %eax,%r12d + rorl $11,%r14d + xorl %edx,%r15d + addl %r12d,%ebx + rorl $6,%r13d + paddd %xmm7,%xmm1 + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + pshufd $80,%xmm1,%xmm7 + xorl %edx,%edi + rorl $2,%r14d + addl %ebx,%r9d + movdqa %xmm7,%xmm6 + addl %edi,%ebx + movl %r9d,%r13d + psrld $10,%xmm7 + addl %ebx,%r14d + rorl $14,%r13d + psrlq $17,%xmm6 + movl %r14d,%ebx + movl %r10d,%r12d + pxor %xmm6,%xmm7 + rorl $9,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + rorl $5,%r13d + xorl %ebx,%r14d + psrlq $2,%xmm6 + andl %r9d,%r12d + xorl %r9d,%r13d + addl 28(%rsp),%eax + pxor %xmm6,%xmm7 + movl %ebx,%edi + xorl %r11d,%r12d + rorl $11,%r14d + pshufd $8,%xmm7,%xmm7 + xorl %ecx,%edi + addl %r12d,%eax + movdqa 32(%rsi),%xmm6 + rorl $6,%r13d + andl %edi,%r15d + pslldq $8,%xmm7 + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + paddd %xmm7,%xmm1 + rorl $2,%r14d + addl %eax,%r8d + addl %r15d,%eax + paddd %xmm1,%xmm6 + movl %r8d,%r13d + addl %eax,%r14d + movdqa %xmm6,16(%rsp) + rorl $14,%r13d + movdqa %xmm3,%xmm4 + movl %r14d,%eax + movl %r9d,%r12d + movdqa %xmm1,%xmm7 + rorl $9,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + rorl $5,%r13d + xorl %eax,%r14d +.byte 102,15,58,15,226,4 + andl %r8d,%r12d + xorl %r8d,%r13d +.byte 102,15,58,15,248,4 + addl 32(%rsp),%r11d + movl %eax,%r15d + xorl %r10d,%r12d + rorl $11,%r14d + movdqa %xmm4,%xmm5 + xorl %ebx,%r15d + addl %r12d,%r11d + movdqa %xmm4,%xmm6 + rorl $6,%r13d + andl %r15d,%edi + psrld $3,%xmm4 + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + paddd %xmm7,%xmm2 + rorl $2,%r14d + addl %r11d,%edx + psrld $7,%xmm6 + addl %edi,%r11d + movl %edx,%r13d + pshufd $250,%xmm1,%xmm7 + addl %r11d,%r14d + rorl $14,%r13d + pslld $14,%xmm5 + movl %r14d,%r11d + movl %r8d,%r12d + pxor %xmm6,%xmm4 + rorl $9,%r14d + xorl %edx,%r13d + xorl %r9d,%r12d + rorl $5,%r13d + psrld $11,%xmm6 + xorl %r11d,%r14d + pxor %xmm5,%xmm4 + andl %edx,%r12d + xorl %edx,%r13d + pslld $11,%xmm5 + addl 36(%rsp),%r10d + movl %r11d,%edi + pxor %xmm6,%xmm4 + xorl %r9d,%r12d + rorl $11,%r14d + movdqa %xmm7,%xmm6 + xorl %eax,%edi + addl %r12d,%r10d + pxor %xmm5,%xmm4 + rorl $6,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + psrld $10,%xmm7 + addl %r13d,%r10d + xorl %eax,%r15d + paddd %xmm4,%xmm2 + rorl $2,%r14d + addl %r10d,%ecx + psrlq $17,%xmm6 + addl %r15d,%r10d + movl %ecx,%r13d + addl %r10d,%r14d + pxor %xmm6,%xmm7 + rorl $14,%r13d + movl %r14d,%r10d + movl %edx,%r12d + rorl $9,%r14d + psrlq $2,%xmm6 + xorl %ecx,%r13d + xorl %r8d,%r12d + pxor %xmm6,%xmm7 + rorl $5,%r13d + xorl %r10d,%r14d + andl %ecx,%r12d + pshufd $128,%xmm7,%xmm7 + xorl %ecx,%r13d + addl 40(%rsp),%r9d + movl %r10d,%r15d + psrldq $8,%xmm7 + xorl %r8d,%r12d + rorl $11,%r14d + xorl %r11d,%r15d + addl %r12d,%r9d + rorl $6,%r13d + paddd %xmm7,%xmm2 + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + pshufd $80,%xmm2,%xmm7 + xorl %r11d,%edi + rorl $2,%r14d + addl %r9d,%ebx + movdqa %xmm7,%xmm6 + addl %edi,%r9d + movl %ebx,%r13d + psrld $10,%xmm7 + addl %r9d,%r14d + rorl $14,%r13d + psrlq $17,%xmm6 + movl %r14d,%r9d + movl %ecx,%r12d + pxor %xmm6,%xmm7 + rorl $9,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + rorl $5,%r13d + xorl %r9d,%r14d + psrlq $2,%xmm6 + andl %ebx,%r12d + xorl %ebx,%r13d + addl 44(%rsp),%r8d + pxor %xmm6,%xmm7 + movl %r9d,%edi + xorl %edx,%r12d + rorl $11,%r14d + pshufd $8,%xmm7,%xmm7 + xorl %r10d,%edi + addl %r12d,%r8d + movdqa 64(%rsi),%xmm6 + rorl $6,%r13d + andl %edi,%r15d + pslldq $8,%xmm7 + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + paddd %xmm7,%xmm2 + rorl $2,%r14d + addl %r8d,%eax + addl %r15d,%r8d + paddd %xmm2,%xmm6 + movl %eax,%r13d + addl %r8d,%r14d + movdqa %xmm6,32(%rsp) + rorl $14,%r13d + movdqa %xmm0,%xmm4 + movl %r14d,%r8d + movl %ebx,%r12d + movdqa %xmm2,%xmm7 + rorl $9,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + rorl $5,%r13d + xorl %r8d,%r14d +.byte 102,15,58,15,227,4 + andl %eax,%r12d + xorl %eax,%r13d +.byte 102,15,58,15,249,4 + addl 48(%rsp),%edx + movl %r8d,%r15d + xorl %ecx,%r12d + rorl $11,%r14d + movdqa %xmm4,%xmm5 + xorl %r9d,%r15d + addl %r12d,%edx + movdqa %xmm4,%xmm6 + rorl $6,%r13d + andl %r15d,%edi + psrld $3,%xmm4 + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + paddd %xmm7,%xmm3 + rorl $2,%r14d + addl %edx,%r11d + psrld $7,%xmm6 + addl %edi,%edx + movl %r11d,%r13d + pshufd $250,%xmm2,%xmm7 + addl %edx,%r14d + rorl $14,%r13d + pslld $14,%xmm5 + movl %r14d,%edx + movl %eax,%r12d + pxor %xmm6,%xmm4 + rorl $9,%r14d + xorl %r11d,%r13d + xorl %ebx,%r12d + rorl $5,%r13d + psrld $11,%xmm6 + xorl %edx,%r14d + pxor %xmm5,%xmm4 + andl %r11d,%r12d + xorl %r11d,%r13d + pslld $11,%xmm5 + addl 52(%rsp),%ecx + movl %edx,%edi + pxor %xmm6,%xmm4 + xorl %ebx,%r12d + rorl $11,%r14d + movdqa %xmm7,%xmm6 + xorl %r8d,%edi + addl %r12d,%ecx + pxor %xmm5,%xmm4 + rorl $6,%r13d + andl %edi,%r15d + xorl %edx,%r14d + psrld $10,%xmm7 + addl %r13d,%ecx + xorl %r8d,%r15d + paddd %xmm4,%xmm3 + rorl $2,%r14d + addl %ecx,%r10d + psrlq $17,%xmm6 + addl %r15d,%ecx + movl %r10d,%r13d + addl %ecx,%r14d + pxor %xmm6,%xmm7 + rorl $14,%r13d + movl %r14d,%ecx + movl %r11d,%r12d + rorl $9,%r14d + psrlq $2,%xmm6 + xorl %r10d,%r13d + xorl %eax,%r12d + pxor %xmm6,%xmm7 + rorl $5,%r13d + xorl %ecx,%r14d + andl %r10d,%r12d + pshufd $128,%xmm7,%xmm7 + xorl %r10d,%r13d + addl 56(%rsp),%ebx + movl %ecx,%r15d + psrldq $8,%xmm7 + xorl %eax,%r12d + rorl $11,%r14d + xorl %edx,%r15d + addl %r12d,%ebx + rorl $6,%r13d + paddd %xmm7,%xmm3 + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + pshufd $80,%xmm3,%xmm7 + xorl %edx,%edi + rorl $2,%r14d + addl %ebx,%r9d + movdqa %xmm7,%xmm6 + addl %edi,%ebx + movl %r9d,%r13d + psrld $10,%xmm7 + addl %ebx,%r14d + rorl $14,%r13d + psrlq $17,%xmm6 + movl %r14d,%ebx + movl %r10d,%r12d + pxor %xmm6,%xmm7 + rorl $9,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + rorl $5,%r13d + xorl %ebx,%r14d + psrlq $2,%xmm6 + andl %r9d,%r12d + xorl %r9d,%r13d + addl 60(%rsp),%eax + pxor %xmm6,%xmm7 + movl %ebx,%edi + xorl %r11d,%r12d + rorl $11,%r14d + pshufd $8,%xmm7,%xmm7 + xorl %ecx,%edi + addl %r12d,%eax + movdqa 96(%rsi),%xmm6 + rorl $6,%r13d + andl %edi,%r15d + pslldq $8,%xmm7 + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + paddd %xmm7,%xmm3 + rorl $2,%r14d + addl %eax,%r8d + addl %r15d,%eax + paddd %xmm3,%xmm6 + movl %r8d,%r13d + addl %eax,%r14d + movdqa %xmm6,48(%rsp) + cmpb $0,131(%rsi) + jne .Lssse3_00_47 + rorl $14,%r13d + movl %r14d,%eax + movl %r9d,%r12d + rorl $9,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + rorl $5,%r13d + xorl %eax,%r14d + andl %r8d,%r12d + xorl %r8d,%r13d + addl 0(%rsp),%r11d + movl %eax,%r15d + xorl %r10d,%r12d + rorl $11,%r14d + xorl %ebx,%r15d + addl %r12d,%r11d + rorl $6,%r13d + andl %r15d,%edi + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + rorl $2,%r14d + addl %r11d,%edx + addl %edi,%r11d + movl %edx,%r13d + addl %r11d,%r14d + rorl $14,%r13d + movl %r14d,%r11d + movl %r8d,%r12d + rorl $9,%r14d + xorl %edx,%r13d + xorl %r9d,%r12d + rorl $5,%r13d + xorl %r11d,%r14d + andl %edx,%r12d + xorl %edx,%r13d + addl 4(%rsp),%r10d + movl %r11d,%edi + xorl %r9d,%r12d + rorl $11,%r14d + xorl %eax,%edi + addl %r12d,%r10d + rorl $6,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + addl %r13d,%r10d + xorl %eax,%r15d + rorl $2,%r14d + addl %r10d,%ecx + addl %r15d,%r10d + movl %ecx,%r13d + addl %r10d,%r14d + rorl $14,%r13d + movl %r14d,%r10d + movl %edx,%r12d + rorl $9,%r14d + xorl %ecx,%r13d + xorl %r8d,%r12d + rorl $5,%r13d + xorl %r10d,%r14d + andl %ecx,%r12d + xorl %ecx,%r13d + addl 8(%rsp),%r9d + movl %r10d,%r15d + xorl %r8d,%r12d + rorl $11,%r14d + xorl %r11d,%r15d + addl %r12d,%r9d + rorl $6,%r13d + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + xorl %r11d,%edi + rorl $2,%r14d + addl %r9d,%ebx + addl %edi,%r9d + movl %ebx,%r13d + addl %r9d,%r14d + rorl $14,%r13d + movl %r14d,%r9d + movl %ecx,%r12d + rorl $9,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + rorl $5,%r13d + xorl %r9d,%r14d + andl %ebx,%r12d + xorl %ebx,%r13d + addl 12(%rsp),%r8d + movl %r9d,%edi + xorl %edx,%r12d + rorl $11,%r14d + xorl %r10d,%edi + addl %r12d,%r8d + rorl $6,%r13d + andl %edi,%r15d + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + rorl $2,%r14d + addl %r8d,%eax + addl %r15d,%r8d + movl %eax,%r13d + addl %r8d,%r14d + rorl $14,%r13d + movl %r14d,%r8d + movl %ebx,%r12d + rorl $9,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + rorl $5,%r13d + xorl %r8d,%r14d + andl %eax,%r12d + xorl %eax,%r13d + addl 16(%rsp),%edx + movl %r8d,%r15d + xorl %ecx,%r12d + rorl $11,%r14d + xorl %r9d,%r15d + addl %r12d,%edx + rorl $6,%r13d + andl %r15d,%edi + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + rorl $2,%r14d + addl %edx,%r11d + addl %edi,%edx + movl %r11d,%r13d + addl %edx,%r14d + rorl $14,%r13d + movl %r14d,%edx + movl %eax,%r12d + rorl $9,%r14d + xorl %r11d,%r13d + xorl %ebx,%r12d + rorl $5,%r13d + xorl %edx,%r14d + andl %r11d,%r12d + xorl %r11d,%r13d + addl 20(%rsp),%ecx + movl %edx,%edi + xorl %ebx,%r12d + rorl $11,%r14d + xorl %r8d,%edi + addl %r12d,%ecx + rorl $6,%r13d + andl %edi,%r15d + xorl %edx,%r14d + addl %r13d,%ecx + xorl %r8d,%r15d + rorl $2,%r14d + addl %ecx,%r10d + addl %r15d,%ecx + movl %r10d,%r13d + addl %ecx,%r14d + rorl $14,%r13d + movl %r14d,%ecx + movl %r11d,%r12d + rorl $9,%r14d + xorl %r10d,%r13d + xorl %eax,%r12d + rorl $5,%r13d + xorl %ecx,%r14d + andl %r10d,%r12d + xorl %r10d,%r13d + addl 24(%rsp),%ebx + movl %ecx,%r15d + xorl %eax,%r12d + rorl $11,%r14d + xorl %edx,%r15d + addl %r12d,%ebx + rorl $6,%r13d + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + xorl %edx,%edi + rorl $2,%r14d + addl %ebx,%r9d + addl %edi,%ebx + movl %r9d,%r13d + addl %ebx,%r14d + rorl $14,%r13d + movl %r14d,%ebx + movl %r10d,%r12d + rorl $9,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + rorl $5,%r13d + xorl %ebx,%r14d + andl %r9d,%r12d + xorl %r9d,%r13d + addl 28(%rsp),%eax + movl %ebx,%edi + xorl %r11d,%r12d + rorl $11,%r14d + xorl %ecx,%edi + addl %r12d,%eax + rorl $6,%r13d + andl %edi,%r15d + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + rorl $2,%r14d + addl %eax,%r8d + addl %r15d,%eax + movl %r8d,%r13d + addl %eax,%r14d + rorl $14,%r13d + movl %r14d,%eax + movl %r9d,%r12d + rorl $9,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + rorl $5,%r13d + xorl %eax,%r14d + andl %r8d,%r12d + xorl %r8d,%r13d + addl 32(%rsp),%r11d + movl %eax,%r15d + xorl %r10d,%r12d + rorl $11,%r14d + xorl %ebx,%r15d + addl %r12d,%r11d + rorl $6,%r13d + andl %r15d,%edi + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + rorl $2,%r14d + addl %r11d,%edx + addl %edi,%r11d + movl %edx,%r13d + addl %r11d,%r14d + rorl $14,%r13d + movl %r14d,%r11d + movl %r8d,%r12d + rorl $9,%r14d + xorl %edx,%r13d + xorl %r9d,%r12d + rorl $5,%r13d + xorl %r11d,%r14d + andl %edx,%r12d + xorl %edx,%r13d + addl 36(%rsp),%r10d + movl %r11d,%edi + xorl %r9d,%r12d + rorl $11,%r14d + xorl %eax,%edi + addl %r12d,%r10d + rorl $6,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + addl %r13d,%r10d + xorl %eax,%r15d + rorl $2,%r14d + addl %r10d,%ecx + addl %r15d,%r10d + movl %ecx,%r13d + addl %r10d,%r14d + rorl $14,%r13d + movl %r14d,%r10d + movl %edx,%r12d + rorl $9,%r14d + xorl %ecx,%r13d + xorl %r8d,%r12d + rorl $5,%r13d + xorl %r10d,%r14d + andl %ecx,%r12d + xorl %ecx,%r13d + addl 40(%rsp),%r9d + movl %r10d,%r15d + xorl %r8d,%r12d + rorl $11,%r14d + xorl %r11d,%r15d + addl %r12d,%r9d + rorl $6,%r13d + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + xorl %r11d,%edi + rorl $2,%r14d + addl %r9d,%ebx + addl %edi,%r9d + movl %ebx,%r13d + addl %r9d,%r14d + rorl $14,%r13d + movl %r14d,%r9d + movl %ecx,%r12d + rorl $9,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + rorl $5,%r13d + xorl %r9d,%r14d + andl %ebx,%r12d + xorl %ebx,%r13d + addl 44(%rsp),%r8d + movl %r9d,%edi + xorl %edx,%r12d + rorl $11,%r14d + xorl %r10d,%edi + addl %r12d,%r8d + rorl $6,%r13d + andl %edi,%r15d + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + rorl $2,%r14d + addl %r8d,%eax + addl %r15d,%r8d + movl %eax,%r13d + addl %r8d,%r14d + rorl $14,%r13d + movl %r14d,%r8d + movl %ebx,%r12d + rorl $9,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + rorl $5,%r13d + xorl %r8d,%r14d + andl %eax,%r12d + xorl %eax,%r13d + addl 48(%rsp),%edx + movl %r8d,%r15d + xorl %ecx,%r12d + rorl $11,%r14d + xorl %r9d,%r15d + addl %r12d,%edx + rorl $6,%r13d + andl %r15d,%edi + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + rorl $2,%r14d + addl %edx,%r11d + addl %edi,%edx + movl %r11d,%r13d + addl %edx,%r14d + rorl $14,%r13d + movl %r14d,%edx + movl %eax,%r12d + rorl $9,%r14d + xorl %r11d,%r13d + xorl %ebx,%r12d + rorl $5,%r13d + xorl %edx,%r14d + andl %r11d,%r12d + xorl %r11d,%r13d + addl 52(%rsp),%ecx + movl %edx,%edi + xorl %ebx,%r12d + rorl $11,%r14d + xorl %r8d,%edi + addl %r12d,%ecx + rorl $6,%r13d + andl %edi,%r15d + xorl %edx,%r14d + addl %r13d,%ecx + xorl %r8d,%r15d + rorl $2,%r14d + addl %ecx,%r10d + addl %r15d,%ecx + movl %r10d,%r13d + addl %ecx,%r14d + rorl $14,%r13d + movl %r14d,%ecx + movl %r11d,%r12d + rorl $9,%r14d + xorl %r10d,%r13d + xorl %eax,%r12d + rorl $5,%r13d + xorl %ecx,%r14d + andl %r10d,%r12d + xorl %r10d,%r13d + addl 56(%rsp),%ebx + movl %ecx,%r15d + xorl %eax,%r12d + rorl $11,%r14d + xorl %edx,%r15d + addl %r12d,%ebx + rorl $6,%r13d + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + xorl %edx,%edi + rorl $2,%r14d + addl %ebx,%r9d + addl %edi,%ebx + movl %r9d,%r13d + addl %ebx,%r14d + rorl $14,%r13d + movl %r14d,%ebx + movl %r10d,%r12d + rorl $9,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + rorl $5,%r13d + xorl %ebx,%r14d + andl %r9d,%r12d + xorl %r9d,%r13d + addl 60(%rsp),%eax + movl %ebx,%edi + xorl %r11d,%r12d + rorl $11,%r14d + xorl %ecx,%edi + addl %r12d,%eax + rorl $6,%r13d + andl %edi,%r15d + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + rorl $2,%r14d + addl %eax,%r8d + addl %r15d,%eax + movl %r8d,%r13d + addl %eax,%r14d + movq -64(%rbp),%rdi + movl %r14d,%eax + movq -56(%rbp),%rsi + + addl 0(%rdi),%eax + addl 4(%rdi),%ebx + addl 8(%rdi),%ecx + addl 12(%rdi),%edx + addl 16(%rdi),%r8d + addl 20(%rdi),%r9d + addl 24(%rdi),%r10d + addl 28(%rdi),%r11d + + leaq 64(%rsi),%rsi + cmpq -48(%rbp),%rsi + + movl %eax,0(%rdi) + movl %ebx,4(%rdi) + movl %ecx,8(%rdi) + movl %edx,12(%rdi) + movl %r8d,16(%rdi) + movl %r9d,20(%rdi) + movl %r10d,24(%rdi) + movl %r11d,28(%rdi) + jb .Lloop_ssse3 + + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp +.cfi_def_cfa_register %rsp + popq %rbp +.cfi_adjust_cfa_offset -8 +.cfi_restore %rbp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbx + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_sha256_asm_block_data_order_ssse3,.-crypton_sha256_asm_block_data_order_ssse3 +.type crypton_sha256_asm_block_data_order_avx,@function +.align 64 +crypton_sha256_asm_block_data_order_avx: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp +.Lavx_shortcut: + pushq %rbx +.cfi_offset %rbx,-24 + pushq %r12 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_offset %r15,-56 + shlq $4,%rdx + subq $24,%rsp + + leaq (%rsi,%rdx,4),%rdx + movq %rdi,-64(%rbp) + + movq %rdx,-48(%rbp) + + + leaq -64(%rsp),%rsp + vzeroupper + andq $-64,%rsp + movl 0(%rdi),%eax + movl 4(%rdi),%ebx + movl 8(%rdi),%ecx + movl 12(%rdi),%edx + movl 16(%rdi),%r8d + movl 20(%rdi),%r9d + movl 24(%rdi),%r10d + movl 28(%rdi),%r11d + vmovdqa K256+512+32(%rip),%xmm8 + vmovdqa K256+512+64(%rip),%xmm9 + jmp .Lloop_avx +.align 16 +.Lloop_avx: + vmovdqa K256+512(%rip),%xmm7 + movq %rsi,-56(%rbp) + vmovdqu 0(%rsi),%xmm0 + vmovdqu 16(%rsi),%xmm1 + vmovdqu 32(%rsi),%xmm2 + vmovdqu 48(%rsi),%xmm3 + vpshufb %xmm7,%xmm0,%xmm0 + leaq K256(%rip),%rsi + vpshufb %xmm7,%xmm1,%xmm1 + vpshufb %xmm7,%xmm2,%xmm2 + vpaddd 0(%rsi),%xmm0,%xmm4 + vpshufb %xmm7,%xmm3,%xmm3 + vpaddd 32(%rsi),%xmm1,%xmm5 + vpaddd 64(%rsi),%xmm2,%xmm6 + vpaddd 96(%rsi),%xmm3,%xmm7 + vmovdqa %xmm4,0(%rsp) + movl %eax,%r14d + vmovdqa %xmm5,16(%rsp) + movl %ebx,%edi + vmovdqa %xmm6,32(%rsp) + xorl %ecx,%edi + vmovdqa %xmm7,48(%rsp) + movl %r8d,%r13d + jmp .Lavx_00_47 + +.align 16 +.Lavx_00_47: + subq $-128,%rsi + vpalignr $4,%xmm0,%xmm1,%xmm4 + shrdl $14,%r13d,%r13d + movl %r14d,%eax + movl %r9d,%r12d + vpalignr $4,%xmm2,%xmm3,%xmm7 + shrdl $9,%r14d,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + vpsrld $7,%xmm4,%xmm6 + shrdl $5,%r13d,%r13d + xorl %eax,%r14d + andl %r8d,%r12d + vpaddd %xmm7,%xmm0,%xmm0 + xorl %r8d,%r13d + addl 0(%rsp),%r11d + movl %eax,%r15d + vpsrld $3,%xmm4,%xmm7 + xorl %r10d,%r12d + shrdl $11,%r14d,%r14d + xorl %ebx,%r15d + vpslld $14,%xmm4,%xmm5 + addl %r12d,%r11d + shrdl $6,%r13d,%r13d + andl %r15d,%edi + vpxor %xmm6,%xmm7,%xmm4 + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + vpshufd $250,%xmm3,%xmm7 + shrdl $2,%r14d,%r14d + addl %r11d,%edx + addl %edi,%r11d + vpsrld $11,%xmm6,%xmm6 + movl %edx,%r13d + addl %r11d,%r14d + shrdl $14,%r13d,%r13d + vpxor %xmm5,%xmm4,%xmm4 + movl %r14d,%r11d + movl %r8d,%r12d + shrdl $9,%r14d,%r14d + vpslld $11,%xmm5,%xmm5 + xorl %edx,%r13d + xorl %r9d,%r12d + shrdl $5,%r13d,%r13d + vpxor %xmm6,%xmm4,%xmm4 + xorl %r11d,%r14d + andl %edx,%r12d + xorl %edx,%r13d + vpsrld $10,%xmm7,%xmm6 + addl 4(%rsp),%r10d + movl %r11d,%edi + xorl %r9d,%r12d + vpxor %xmm5,%xmm4,%xmm4 + shrdl $11,%r14d,%r14d + xorl %eax,%edi + addl %r12d,%r10d + vpsrlq $17,%xmm7,%xmm7 + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + vpaddd %xmm4,%xmm0,%xmm0 + addl %r13d,%r10d + xorl %eax,%r15d + shrdl $2,%r14d,%r14d + vpxor %xmm7,%xmm6,%xmm6 + addl %r10d,%ecx + addl %r15d,%r10d + movl %ecx,%r13d + vpsrlq $2,%xmm7,%xmm7 + addl %r10d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r10d + vpxor %xmm7,%xmm6,%xmm6 + movl %edx,%r12d + shrdl $9,%r14d,%r14d + xorl %ecx,%r13d + vpshufb %xmm8,%xmm6,%xmm6 + xorl %r8d,%r12d + shrdl $5,%r13d,%r13d + xorl %r10d,%r14d + vpaddd %xmm6,%xmm0,%xmm0 + andl %ecx,%r12d + xorl %ecx,%r13d + addl 8(%rsp),%r9d + vpshufd $80,%xmm0,%xmm7 + movl %r10d,%r15d + xorl %r8d,%r12d + shrdl $11,%r14d,%r14d + vpsrld $10,%xmm7,%xmm6 + xorl %r11d,%r15d + addl %r12d,%r9d + shrdl $6,%r13d,%r13d + vpsrlq $17,%xmm7,%xmm7 + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + vpxor %xmm7,%xmm6,%xmm6 + xorl %r11d,%edi + shrdl $2,%r14d,%r14d + addl %r9d,%ebx + vpsrlq $2,%xmm7,%xmm7 + addl %edi,%r9d + movl %ebx,%r13d + addl %r9d,%r14d + vpxor %xmm7,%xmm6,%xmm6 + shrdl $14,%r13d,%r13d + movl %r14d,%r9d + movl %ecx,%r12d + vpshufb %xmm9,%xmm6,%xmm6 + shrdl $9,%r14d,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + vpaddd %xmm6,%xmm0,%xmm0 + shrdl $5,%r13d,%r13d + xorl %r9d,%r14d + andl %ebx,%r12d + vpaddd 0(%rsi),%xmm0,%xmm6 + xorl %ebx,%r13d + addl 12(%rsp),%r8d + movl %r9d,%edi + xorl %edx,%r12d + shrdl $11,%r14d,%r14d + xorl %r10d,%edi + addl %r12d,%r8d + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + shrdl $2,%r14d,%r14d + addl %r8d,%eax + addl %r15d,%r8d + movl %eax,%r13d + addl %r8d,%r14d + vmovdqa %xmm6,0(%rsp) + vpalignr $4,%xmm1,%xmm2,%xmm4 + shrdl $14,%r13d,%r13d + movl %r14d,%r8d + movl %ebx,%r12d + vpalignr $4,%xmm3,%xmm0,%xmm7 + shrdl $9,%r14d,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + vpsrld $7,%xmm4,%xmm6 + shrdl $5,%r13d,%r13d + xorl %r8d,%r14d + andl %eax,%r12d + vpaddd %xmm7,%xmm1,%xmm1 + xorl %eax,%r13d + addl 16(%rsp),%edx + movl %r8d,%r15d + vpsrld $3,%xmm4,%xmm7 + xorl %ecx,%r12d + shrdl $11,%r14d,%r14d + xorl %r9d,%r15d + vpslld $14,%xmm4,%xmm5 + addl %r12d,%edx + shrdl $6,%r13d,%r13d + andl %r15d,%edi + vpxor %xmm6,%xmm7,%xmm4 + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + vpshufd $250,%xmm0,%xmm7 + shrdl $2,%r14d,%r14d + addl %edx,%r11d + addl %edi,%edx + vpsrld $11,%xmm6,%xmm6 + movl %r11d,%r13d + addl %edx,%r14d + shrdl $14,%r13d,%r13d + vpxor %xmm5,%xmm4,%xmm4 + movl %r14d,%edx + movl %eax,%r12d + shrdl $9,%r14d,%r14d + vpslld $11,%xmm5,%xmm5 + xorl %r11d,%r13d + xorl %ebx,%r12d + shrdl $5,%r13d,%r13d + vpxor %xmm6,%xmm4,%xmm4 + xorl %edx,%r14d + andl %r11d,%r12d + xorl %r11d,%r13d + vpsrld $10,%xmm7,%xmm6 + addl 20(%rsp),%ecx + movl %edx,%edi + xorl %ebx,%r12d + vpxor %xmm5,%xmm4,%xmm4 + shrdl $11,%r14d,%r14d + xorl %r8d,%edi + addl %r12d,%ecx + vpsrlq $17,%xmm7,%xmm7 + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %edx,%r14d + vpaddd %xmm4,%xmm1,%xmm1 + addl %r13d,%ecx + xorl %r8d,%r15d + shrdl $2,%r14d,%r14d + vpxor %xmm7,%xmm6,%xmm6 + addl %ecx,%r10d + addl %r15d,%ecx + movl %r10d,%r13d + vpsrlq $2,%xmm7,%xmm7 + addl %ecx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%ecx + vpxor %xmm7,%xmm6,%xmm6 + movl %r11d,%r12d + shrdl $9,%r14d,%r14d + xorl %r10d,%r13d + vpshufb %xmm8,%xmm6,%xmm6 + xorl %eax,%r12d + shrdl $5,%r13d,%r13d + xorl %ecx,%r14d + vpaddd %xmm6,%xmm1,%xmm1 + andl %r10d,%r12d + xorl %r10d,%r13d + addl 24(%rsp),%ebx + vpshufd $80,%xmm1,%xmm7 + movl %ecx,%r15d + xorl %eax,%r12d + shrdl $11,%r14d,%r14d + vpsrld $10,%xmm7,%xmm6 + xorl %edx,%r15d + addl %r12d,%ebx + shrdl $6,%r13d,%r13d + vpsrlq $17,%xmm7,%xmm7 + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + vpxor %xmm7,%xmm6,%xmm6 + xorl %edx,%edi + shrdl $2,%r14d,%r14d + addl %ebx,%r9d + vpsrlq $2,%xmm7,%xmm7 + addl %edi,%ebx + movl %r9d,%r13d + addl %ebx,%r14d + vpxor %xmm7,%xmm6,%xmm6 + shrdl $14,%r13d,%r13d + movl %r14d,%ebx + movl %r10d,%r12d + vpshufb %xmm9,%xmm6,%xmm6 + shrdl $9,%r14d,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + vpaddd %xmm6,%xmm1,%xmm1 + shrdl $5,%r13d,%r13d + xorl %ebx,%r14d + andl %r9d,%r12d + vpaddd 32(%rsi),%xmm1,%xmm6 + xorl %r9d,%r13d + addl 28(%rsp),%eax + movl %ebx,%edi + xorl %r11d,%r12d + shrdl $11,%r14d,%r14d + xorl %ecx,%edi + addl %r12d,%eax + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + shrdl $2,%r14d,%r14d + addl %eax,%r8d + addl %r15d,%eax + movl %r8d,%r13d + addl %eax,%r14d + vmovdqa %xmm6,16(%rsp) + vpalignr $4,%xmm2,%xmm3,%xmm4 + shrdl $14,%r13d,%r13d + movl %r14d,%eax + movl %r9d,%r12d + vpalignr $4,%xmm0,%xmm1,%xmm7 + shrdl $9,%r14d,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + vpsrld $7,%xmm4,%xmm6 + shrdl $5,%r13d,%r13d + xorl %eax,%r14d + andl %r8d,%r12d + vpaddd %xmm7,%xmm2,%xmm2 + xorl %r8d,%r13d + addl 32(%rsp),%r11d + movl %eax,%r15d + vpsrld $3,%xmm4,%xmm7 + xorl %r10d,%r12d + shrdl $11,%r14d,%r14d + xorl %ebx,%r15d + vpslld $14,%xmm4,%xmm5 + addl %r12d,%r11d + shrdl $6,%r13d,%r13d + andl %r15d,%edi + vpxor %xmm6,%xmm7,%xmm4 + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + vpshufd $250,%xmm1,%xmm7 + shrdl $2,%r14d,%r14d + addl %r11d,%edx + addl %edi,%r11d + vpsrld $11,%xmm6,%xmm6 + movl %edx,%r13d + addl %r11d,%r14d + shrdl $14,%r13d,%r13d + vpxor %xmm5,%xmm4,%xmm4 + movl %r14d,%r11d + movl %r8d,%r12d + shrdl $9,%r14d,%r14d + vpslld $11,%xmm5,%xmm5 + xorl %edx,%r13d + xorl %r9d,%r12d + shrdl $5,%r13d,%r13d + vpxor %xmm6,%xmm4,%xmm4 + xorl %r11d,%r14d + andl %edx,%r12d + xorl %edx,%r13d + vpsrld $10,%xmm7,%xmm6 + addl 36(%rsp),%r10d + movl %r11d,%edi + xorl %r9d,%r12d + vpxor %xmm5,%xmm4,%xmm4 + shrdl $11,%r14d,%r14d + xorl %eax,%edi + addl %r12d,%r10d + vpsrlq $17,%xmm7,%xmm7 + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + vpaddd %xmm4,%xmm2,%xmm2 + addl %r13d,%r10d + xorl %eax,%r15d + shrdl $2,%r14d,%r14d + vpxor %xmm7,%xmm6,%xmm6 + addl %r10d,%ecx + addl %r15d,%r10d + movl %ecx,%r13d + vpsrlq $2,%xmm7,%xmm7 + addl %r10d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r10d + vpxor %xmm7,%xmm6,%xmm6 + movl %edx,%r12d + shrdl $9,%r14d,%r14d + xorl %ecx,%r13d + vpshufb %xmm8,%xmm6,%xmm6 + xorl %r8d,%r12d + shrdl $5,%r13d,%r13d + xorl %r10d,%r14d + vpaddd %xmm6,%xmm2,%xmm2 + andl %ecx,%r12d + xorl %ecx,%r13d + addl 40(%rsp),%r9d + vpshufd $80,%xmm2,%xmm7 + movl %r10d,%r15d + xorl %r8d,%r12d + shrdl $11,%r14d,%r14d + vpsrld $10,%xmm7,%xmm6 + xorl %r11d,%r15d + addl %r12d,%r9d + shrdl $6,%r13d,%r13d + vpsrlq $17,%xmm7,%xmm7 + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + vpxor %xmm7,%xmm6,%xmm6 + xorl %r11d,%edi + shrdl $2,%r14d,%r14d + addl %r9d,%ebx + vpsrlq $2,%xmm7,%xmm7 + addl %edi,%r9d + movl %ebx,%r13d + addl %r9d,%r14d + vpxor %xmm7,%xmm6,%xmm6 + shrdl $14,%r13d,%r13d + movl %r14d,%r9d + movl %ecx,%r12d + vpshufb %xmm9,%xmm6,%xmm6 + shrdl $9,%r14d,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + vpaddd %xmm6,%xmm2,%xmm2 + shrdl $5,%r13d,%r13d + xorl %r9d,%r14d + andl %ebx,%r12d + vpaddd 64(%rsi),%xmm2,%xmm6 + xorl %ebx,%r13d + addl 44(%rsp),%r8d + movl %r9d,%edi + xorl %edx,%r12d + shrdl $11,%r14d,%r14d + xorl %r10d,%edi + addl %r12d,%r8d + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + shrdl $2,%r14d,%r14d + addl %r8d,%eax + addl %r15d,%r8d + movl %eax,%r13d + addl %r8d,%r14d + vmovdqa %xmm6,32(%rsp) + vpalignr $4,%xmm3,%xmm0,%xmm4 + shrdl $14,%r13d,%r13d + movl %r14d,%r8d + movl %ebx,%r12d + vpalignr $4,%xmm1,%xmm2,%xmm7 + shrdl $9,%r14d,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + vpsrld $7,%xmm4,%xmm6 + shrdl $5,%r13d,%r13d + xorl %r8d,%r14d + andl %eax,%r12d + vpaddd %xmm7,%xmm3,%xmm3 + xorl %eax,%r13d + addl 48(%rsp),%edx + movl %r8d,%r15d + vpsrld $3,%xmm4,%xmm7 + xorl %ecx,%r12d + shrdl $11,%r14d,%r14d + xorl %r9d,%r15d + vpslld $14,%xmm4,%xmm5 + addl %r12d,%edx + shrdl $6,%r13d,%r13d + andl %r15d,%edi + vpxor %xmm6,%xmm7,%xmm4 + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + vpshufd $250,%xmm2,%xmm7 + shrdl $2,%r14d,%r14d + addl %edx,%r11d + addl %edi,%edx + vpsrld $11,%xmm6,%xmm6 + movl %r11d,%r13d + addl %edx,%r14d + shrdl $14,%r13d,%r13d + vpxor %xmm5,%xmm4,%xmm4 + movl %r14d,%edx + movl %eax,%r12d + shrdl $9,%r14d,%r14d + vpslld $11,%xmm5,%xmm5 + xorl %r11d,%r13d + xorl %ebx,%r12d + shrdl $5,%r13d,%r13d + vpxor %xmm6,%xmm4,%xmm4 + xorl %edx,%r14d + andl %r11d,%r12d + xorl %r11d,%r13d + vpsrld $10,%xmm7,%xmm6 + addl 52(%rsp),%ecx + movl %edx,%edi + xorl %ebx,%r12d + vpxor %xmm5,%xmm4,%xmm4 + shrdl $11,%r14d,%r14d + xorl %r8d,%edi + addl %r12d,%ecx + vpsrlq $17,%xmm7,%xmm7 + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %edx,%r14d + vpaddd %xmm4,%xmm3,%xmm3 + addl %r13d,%ecx + xorl %r8d,%r15d + shrdl $2,%r14d,%r14d + vpxor %xmm7,%xmm6,%xmm6 + addl %ecx,%r10d + addl %r15d,%ecx + movl %r10d,%r13d + vpsrlq $2,%xmm7,%xmm7 + addl %ecx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%ecx + vpxor %xmm7,%xmm6,%xmm6 + movl %r11d,%r12d + shrdl $9,%r14d,%r14d + xorl %r10d,%r13d + vpshufb %xmm8,%xmm6,%xmm6 + xorl %eax,%r12d + shrdl $5,%r13d,%r13d + xorl %ecx,%r14d + vpaddd %xmm6,%xmm3,%xmm3 + andl %r10d,%r12d + xorl %r10d,%r13d + addl 56(%rsp),%ebx + vpshufd $80,%xmm3,%xmm7 + movl %ecx,%r15d + xorl %eax,%r12d + shrdl $11,%r14d,%r14d + vpsrld $10,%xmm7,%xmm6 + xorl %edx,%r15d + addl %r12d,%ebx + shrdl $6,%r13d,%r13d + vpsrlq $17,%xmm7,%xmm7 + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + vpxor %xmm7,%xmm6,%xmm6 + xorl %edx,%edi + shrdl $2,%r14d,%r14d + addl %ebx,%r9d + vpsrlq $2,%xmm7,%xmm7 + addl %edi,%ebx + movl %r9d,%r13d + addl %ebx,%r14d + vpxor %xmm7,%xmm6,%xmm6 + shrdl $14,%r13d,%r13d + movl %r14d,%ebx + movl %r10d,%r12d + vpshufb %xmm9,%xmm6,%xmm6 + shrdl $9,%r14d,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + vpaddd %xmm6,%xmm3,%xmm3 + shrdl $5,%r13d,%r13d + xorl %ebx,%r14d + andl %r9d,%r12d + vpaddd 96(%rsi),%xmm3,%xmm6 + xorl %r9d,%r13d + addl 60(%rsp),%eax + movl %ebx,%edi + xorl %r11d,%r12d + shrdl $11,%r14d,%r14d + xorl %ecx,%edi + addl %r12d,%eax + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + shrdl $2,%r14d,%r14d + addl %eax,%r8d + addl %r15d,%eax + movl %r8d,%r13d + addl %eax,%r14d + vmovdqa %xmm6,48(%rsp) + cmpb $0,131(%rsi) + jne .Lavx_00_47 + shrdl $14,%r13d,%r13d + movl %r14d,%eax + movl %r9d,%r12d + shrdl $9,%r14d,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + shrdl $5,%r13d,%r13d + xorl %eax,%r14d + andl %r8d,%r12d + xorl %r8d,%r13d + addl 0(%rsp),%r11d + movl %eax,%r15d + xorl %r10d,%r12d + shrdl $11,%r14d,%r14d + xorl %ebx,%r15d + addl %r12d,%r11d + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + shrdl $2,%r14d,%r14d + addl %r11d,%edx + addl %edi,%r11d + movl %edx,%r13d + addl %r11d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r11d + movl %r8d,%r12d + shrdl $9,%r14d,%r14d + xorl %edx,%r13d + xorl %r9d,%r12d + shrdl $5,%r13d,%r13d + xorl %r11d,%r14d + andl %edx,%r12d + xorl %edx,%r13d + addl 4(%rsp),%r10d + movl %r11d,%edi + xorl %r9d,%r12d + shrdl $11,%r14d,%r14d + xorl %eax,%edi + addl %r12d,%r10d + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + addl %r13d,%r10d + xorl %eax,%r15d + shrdl $2,%r14d,%r14d + addl %r10d,%ecx + addl %r15d,%r10d + movl %ecx,%r13d + addl %r10d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r10d + movl %edx,%r12d + shrdl $9,%r14d,%r14d + xorl %ecx,%r13d + xorl %r8d,%r12d + shrdl $5,%r13d,%r13d + xorl %r10d,%r14d + andl %ecx,%r12d + xorl %ecx,%r13d + addl 8(%rsp),%r9d + movl %r10d,%r15d + xorl %r8d,%r12d + shrdl $11,%r14d,%r14d + xorl %r11d,%r15d + addl %r12d,%r9d + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + xorl %r11d,%edi + shrdl $2,%r14d,%r14d + addl %r9d,%ebx + addl %edi,%r9d + movl %ebx,%r13d + addl %r9d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r9d + movl %ecx,%r12d + shrdl $9,%r14d,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + shrdl $5,%r13d,%r13d + xorl %r9d,%r14d + andl %ebx,%r12d + xorl %ebx,%r13d + addl 12(%rsp),%r8d + movl %r9d,%edi + xorl %edx,%r12d + shrdl $11,%r14d,%r14d + xorl %r10d,%edi + addl %r12d,%r8d + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + shrdl $2,%r14d,%r14d + addl %r8d,%eax + addl %r15d,%r8d + movl %eax,%r13d + addl %r8d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r8d + movl %ebx,%r12d + shrdl $9,%r14d,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + shrdl $5,%r13d,%r13d + xorl %r8d,%r14d + andl %eax,%r12d + xorl %eax,%r13d + addl 16(%rsp),%edx + movl %r8d,%r15d + xorl %ecx,%r12d + shrdl $11,%r14d,%r14d + xorl %r9d,%r15d + addl %r12d,%edx + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + shrdl $2,%r14d,%r14d + addl %edx,%r11d + addl %edi,%edx + movl %r11d,%r13d + addl %edx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%edx + movl %eax,%r12d + shrdl $9,%r14d,%r14d + xorl %r11d,%r13d + xorl %ebx,%r12d + shrdl $5,%r13d,%r13d + xorl %edx,%r14d + andl %r11d,%r12d + xorl %r11d,%r13d + addl 20(%rsp),%ecx + movl %edx,%edi + xorl %ebx,%r12d + shrdl $11,%r14d,%r14d + xorl %r8d,%edi + addl %r12d,%ecx + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %edx,%r14d + addl %r13d,%ecx + xorl %r8d,%r15d + shrdl $2,%r14d,%r14d + addl %ecx,%r10d + addl %r15d,%ecx + movl %r10d,%r13d + addl %ecx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%ecx + movl %r11d,%r12d + shrdl $9,%r14d,%r14d + xorl %r10d,%r13d + xorl %eax,%r12d + shrdl $5,%r13d,%r13d + xorl %ecx,%r14d + andl %r10d,%r12d + xorl %r10d,%r13d + addl 24(%rsp),%ebx + movl %ecx,%r15d + xorl %eax,%r12d + shrdl $11,%r14d,%r14d + xorl %edx,%r15d + addl %r12d,%ebx + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + xorl %edx,%edi + shrdl $2,%r14d,%r14d + addl %ebx,%r9d + addl %edi,%ebx + movl %r9d,%r13d + addl %ebx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%ebx + movl %r10d,%r12d + shrdl $9,%r14d,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + shrdl $5,%r13d,%r13d + xorl %ebx,%r14d + andl %r9d,%r12d + xorl %r9d,%r13d + addl 28(%rsp),%eax + movl %ebx,%edi + xorl %r11d,%r12d + shrdl $11,%r14d,%r14d + xorl %ecx,%edi + addl %r12d,%eax + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + shrdl $2,%r14d,%r14d + addl %eax,%r8d + addl %r15d,%eax + movl %r8d,%r13d + addl %eax,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%eax + movl %r9d,%r12d + shrdl $9,%r14d,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + shrdl $5,%r13d,%r13d + xorl %eax,%r14d + andl %r8d,%r12d + xorl %r8d,%r13d + addl 32(%rsp),%r11d + movl %eax,%r15d + xorl %r10d,%r12d + shrdl $11,%r14d,%r14d + xorl %ebx,%r15d + addl %r12d,%r11d + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + shrdl $2,%r14d,%r14d + addl %r11d,%edx + addl %edi,%r11d + movl %edx,%r13d + addl %r11d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r11d + movl %r8d,%r12d + shrdl $9,%r14d,%r14d + xorl %edx,%r13d + xorl %r9d,%r12d + shrdl $5,%r13d,%r13d + xorl %r11d,%r14d + andl %edx,%r12d + xorl %edx,%r13d + addl 36(%rsp),%r10d + movl %r11d,%edi + xorl %r9d,%r12d + shrdl $11,%r14d,%r14d + xorl %eax,%edi + addl %r12d,%r10d + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + addl %r13d,%r10d + xorl %eax,%r15d + shrdl $2,%r14d,%r14d + addl %r10d,%ecx + addl %r15d,%r10d + movl %ecx,%r13d + addl %r10d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r10d + movl %edx,%r12d + shrdl $9,%r14d,%r14d + xorl %ecx,%r13d + xorl %r8d,%r12d + shrdl $5,%r13d,%r13d + xorl %r10d,%r14d + andl %ecx,%r12d + xorl %ecx,%r13d + addl 40(%rsp),%r9d + movl %r10d,%r15d + xorl %r8d,%r12d + shrdl $11,%r14d,%r14d + xorl %r11d,%r15d + addl %r12d,%r9d + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + xorl %r11d,%edi + shrdl $2,%r14d,%r14d + addl %r9d,%ebx + addl %edi,%r9d + movl %ebx,%r13d + addl %r9d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r9d + movl %ecx,%r12d + shrdl $9,%r14d,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + shrdl $5,%r13d,%r13d + xorl %r9d,%r14d + andl %ebx,%r12d + xorl %ebx,%r13d + addl 44(%rsp),%r8d + movl %r9d,%edi + xorl %edx,%r12d + shrdl $11,%r14d,%r14d + xorl %r10d,%edi + addl %r12d,%r8d + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + shrdl $2,%r14d,%r14d + addl %r8d,%eax + addl %r15d,%r8d + movl %eax,%r13d + addl %r8d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r8d + movl %ebx,%r12d + shrdl $9,%r14d,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + shrdl $5,%r13d,%r13d + xorl %r8d,%r14d + andl %eax,%r12d + xorl %eax,%r13d + addl 48(%rsp),%edx + movl %r8d,%r15d + xorl %ecx,%r12d + shrdl $11,%r14d,%r14d + xorl %r9d,%r15d + addl %r12d,%edx + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + shrdl $2,%r14d,%r14d + addl %edx,%r11d + addl %edi,%edx + movl %r11d,%r13d + addl %edx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%edx + movl %eax,%r12d + shrdl $9,%r14d,%r14d + xorl %r11d,%r13d + xorl %ebx,%r12d + shrdl $5,%r13d,%r13d + xorl %edx,%r14d + andl %r11d,%r12d + xorl %r11d,%r13d + addl 52(%rsp),%ecx + movl %edx,%edi + xorl %ebx,%r12d + shrdl $11,%r14d,%r14d + xorl %r8d,%edi + addl %r12d,%ecx + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %edx,%r14d + addl %r13d,%ecx + xorl %r8d,%r15d + shrdl $2,%r14d,%r14d + addl %ecx,%r10d + addl %r15d,%ecx + movl %r10d,%r13d + addl %ecx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%ecx + movl %r11d,%r12d + shrdl $9,%r14d,%r14d + xorl %r10d,%r13d + xorl %eax,%r12d + shrdl $5,%r13d,%r13d + xorl %ecx,%r14d + andl %r10d,%r12d + xorl %r10d,%r13d + addl 56(%rsp),%ebx + movl %ecx,%r15d + xorl %eax,%r12d + shrdl $11,%r14d,%r14d + xorl %edx,%r15d + addl %r12d,%ebx + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + xorl %edx,%edi + shrdl $2,%r14d,%r14d + addl %ebx,%r9d + addl %edi,%ebx + movl %r9d,%r13d + addl %ebx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%ebx + movl %r10d,%r12d + shrdl $9,%r14d,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + shrdl $5,%r13d,%r13d + xorl %ebx,%r14d + andl %r9d,%r12d + xorl %r9d,%r13d + addl 60(%rsp),%eax + movl %ebx,%edi + xorl %r11d,%r12d + shrdl $11,%r14d,%r14d + xorl %ecx,%edi + addl %r12d,%eax + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + shrdl $2,%r14d,%r14d + addl %eax,%r8d + addl %r15d,%eax + movl %r8d,%r13d + addl %eax,%r14d + movq -64(%rbp),%rdi + movl %r14d,%eax + movq -56(%rbp),%rsi + + addl 0(%rdi),%eax + addl 4(%rdi),%ebx + addl 8(%rdi),%ecx + addl 12(%rdi),%edx + addl 16(%rdi),%r8d + addl 20(%rdi),%r9d + addl 24(%rdi),%r10d + addl 28(%rdi),%r11d + + leaq 64(%rsi),%rsi + cmpq -48(%rbp),%rsi + + movl %eax,0(%rdi) + movl %ebx,4(%rdi) + movl %ecx,8(%rdi) + movl %edx,12(%rdi) + movl %r8d,16(%rdi) + movl %r9d,20(%rdi) + movl %r10d,24(%rdi) + movl %r11d,28(%rdi) + jb .Lloop_avx + + vzeroupper + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp +.cfi_def_cfa_register %rsp + popq %rbp +.cfi_adjust_cfa_offset -8 +.cfi_restore %rbp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbx + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_sha256_asm_block_data_order_avx,.-crypton_sha256_asm_block_data_order_avx +.type crypton_sha256_asm_block_data_order_avx2,@function +.align 64 +crypton_sha256_asm_block_data_order_avx2: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp +.Lavx2_shortcut: + pushq %rbx +.cfi_offset %rbx,-24 + pushq %r12 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_offset %r15,-56 + shlq $4,%rdx + subq $24,%rsp + + leaq (%rsi,%rdx,4),%rdx + movq %rdi,-64(%rbp) + + movq %rdx,-48(%rbp) + + + leaq -64(%rsp),%rsp + vzeroupper + andq $-64,%rsp + subq $-64,%rsi + movl 0(%rdi),%eax + movq %rsi,%r12 + movl 4(%rdi),%ebx + cmpq %rdx,%rsi + movl 8(%rdi),%ecx + cmoveq %rsp,%r12 + movl 12(%rdi),%edx + movl 16(%rdi),%r8d + movl 20(%rdi),%r9d + movl 24(%rdi),%r10d + movl 28(%rdi),%r11d + vmovdqa K256+512+32(%rip),%ymm8 + vmovdqa K256+512+64(%rip),%ymm9 + jmp .Loop_avx2 +.align 16 +.Loop_avx2: + vmovdqa K256+512(%rip),%ymm7 + movq %rsi,-56(%rbp) + vmovdqu -64+0(%rsi),%xmm0 + vmovdqu -64+16(%rsi),%xmm1 + vmovdqu -64+32(%rsi),%xmm2 + vmovdqu -64+48(%rsi),%xmm3 + leaq K256(%rip),%rsi + vinserti128 $1,(%r12),%ymm0,%ymm0 + vinserti128 $1,16(%r12),%ymm1,%ymm1 + vpshufb %ymm7,%ymm0,%ymm0 + vinserti128 $1,32(%r12),%ymm2,%ymm2 + vpshufb %ymm7,%ymm1,%ymm1 + vinserti128 $1,48(%r12),%ymm3,%ymm3 + + vpshufb %ymm7,%ymm2,%ymm2 + vpaddd 0(%rsi),%ymm0,%ymm4 + vpshufb %ymm7,%ymm3,%ymm3 + vpaddd 32(%rsi),%ymm1,%ymm5 + vpaddd 64(%rsi),%ymm2,%ymm6 + vpaddd 96(%rsi),%ymm3,%ymm7 + vmovdqa %ymm4,0(%rsp) + xorl %r14d,%r14d + vmovdqa %ymm5,32(%rsp) + leaq -64(%rsp),%rsp + movl %ebx,%edi + vmovdqa %ymm6,0(%rsp) + xorl %ecx,%edi + vmovdqa %ymm7,32(%rsp) + movl %r9d,%r12d + subq $-32*4,%rsi + jmp .Lavx2_00_47 + +.align 16 +.Lavx2_00_47: + leaq -64(%rsp),%rsp + vpalignr $4,%ymm0,%ymm1,%ymm4 + addl 0+128(%rsp),%r11d + andl %r8d,%r12d + rorxl $25,%r8d,%r13d + vpalignr $4,%ymm2,%ymm3,%ymm7 + rorxl $11,%r8d,%r15d + leal (%rax,%r14,1),%eax + leal (%r11,%r12,1),%r11d + vpsrld $7,%ymm4,%ymm6 + andnl %r10d,%r8d,%r12d + xorl %r15d,%r13d + rorxl $6,%r8d,%r14d + vpaddd %ymm7,%ymm0,%ymm0 + leal (%r11,%r12,1),%r11d + xorl %r14d,%r13d + movl %eax,%r15d + vpsrld $3,%ymm4,%ymm7 + rorxl $22,%eax,%r12d + leal (%r11,%r13,1),%r11d + xorl %ebx,%r15d + vpslld $14,%ymm4,%ymm5 + rorxl $13,%eax,%r14d + rorxl $2,%eax,%r13d + leal (%rdx,%r11,1),%edx + vpxor %ymm6,%ymm7,%ymm4 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %ebx,%edi + vpshufd $250,%ymm3,%ymm7 + xorl %r13d,%r14d + leal (%r11,%rdi,1),%r11d + movl %r8d,%r12d + vpsrld $11,%ymm6,%ymm6 + addl 4+128(%rsp),%r10d + andl %edx,%r12d + rorxl $25,%edx,%r13d + vpxor %ymm5,%ymm4,%ymm4 + rorxl $11,%edx,%edi + leal (%r11,%r14,1),%r11d + leal (%r10,%r12,1),%r10d + vpslld $11,%ymm5,%ymm5 + andnl %r9d,%edx,%r12d + xorl %edi,%r13d + rorxl $6,%edx,%r14d + vpxor %ymm6,%ymm4,%ymm4 + leal (%r10,%r12,1),%r10d + xorl %r14d,%r13d + movl %r11d,%edi + vpsrld $10,%ymm7,%ymm6 + rorxl $22,%r11d,%r12d + leal (%r10,%r13,1),%r10d + xorl %eax,%edi + vpxor %ymm5,%ymm4,%ymm4 + rorxl $13,%r11d,%r14d + rorxl $2,%r11d,%r13d + leal (%rcx,%r10,1),%ecx + vpsrlq $17,%ymm7,%ymm7 + andl %edi,%r15d + xorl %r12d,%r14d + xorl %eax,%r15d + vpaddd %ymm4,%ymm0,%ymm0 + xorl %r13d,%r14d + leal (%r10,%r15,1),%r10d + movl %edx,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 8+128(%rsp),%r9d + andl %ecx,%r12d + rorxl $25,%ecx,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%ecx,%r15d + leal (%r10,%r14,1),%r10d + leal (%r9,%r12,1),%r9d + vpxor %ymm7,%ymm6,%ymm6 + andnl %r8d,%ecx,%r12d + xorl %r15d,%r13d + rorxl $6,%ecx,%r14d + vpshufb %ymm8,%ymm6,%ymm6 + leal (%r9,%r12,1),%r9d + xorl %r14d,%r13d + movl %r10d,%r15d + vpaddd %ymm6,%ymm0,%ymm0 + rorxl $22,%r10d,%r12d + leal (%r9,%r13,1),%r9d + xorl %r11d,%r15d + vpshufd $80,%ymm0,%ymm7 + rorxl $13,%r10d,%r14d + rorxl $2,%r10d,%r13d + leal (%rbx,%r9,1),%ebx + vpsrld $10,%ymm7,%ymm6 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r11d,%edi + vpsrlq $17,%ymm7,%ymm7 + xorl %r13d,%r14d + leal (%r9,%rdi,1),%r9d + movl %ecx,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 12+128(%rsp),%r8d + andl %ebx,%r12d + rorxl $25,%ebx,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%ebx,%edi + leal (%r9,%r14,1),%r9d + leal (%r8,%r12,1),%r8d + vpxor %ymm7,%ymm6,%ymm6 + andnl %edx,%ebx,%r12d + xorl %edi,%r13d + rorxl $6,%ebx,%r14d + vpshufb %ymm9,%ymm6,%ymm6 + leal (%r8,%r12,1),%r8d + xorl %r14d,%r13d + movl %r9d,%edi + vpaddd %ymm6,%ymm0,%ymm0 + rorxl $22,%r9d,%r12d + leal (%r8,%r13,1),%r8d + xorl %r10d,%edi + vpaddd 0(%rsi),%ymm0,%ymm6 + rorxl $13,%r9d,%r14d + rorxl $2,%r9d,%r13d + leal (%rax,%r8,1),%eax + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r10d,%r15d + xorl %r13d,%r14d + leal (%r8,%r15,1),%r8d + movl %ebx,%r12d + vmovdqa %ymm6,0(%rsp) + vpalignr $4,%ymm1,%ymm2,%ymm4 + addl 32+128(%rsp),%edx + andl %eax,%r12d + rorxl $25,%eax,%r13d + vpalignr $4,%ymm3,%ymm0,%ymm7 + rorxl $11,%eax,%r15d + leal (%r8,%r14,1),%r8d + leal (%rdx,%r12,1),%edx + vpsrld $7,%ymm4,%ymm6 + andnl %ecx,%eax,%r12d + xorl %r15d,%r13d + rorxl $6,%eax,%r14d + vpaddd %ymm7,%ymm1,%ymm1 + leal (%rdx,%r12,1),%edx + xorl %r14d,%r13d + movl %r8d,%r15d + vpsrld $3,%ymm4,%ymm7 + rorxl $22,%r8d,%r12d + leal (%rdx,%r13,1),%edx + xorl %r9d,%r15d + vpslld $14,%ymm4,%ymm5 + rorxl $13,%r8d,%r14d + rorxl $2,%r8d,%r13d + leal (%r11,%rdx,1),%r11d + vpxor %ymm6,%ymm7,%ymm4 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r9d,%edi + vpshufd $250,%ymm0,%ymm7 + xorl %r13d,%r14d + leal (%rdx,%rdi,1),%edx + movl %eax,%r12d + vpsrld $11,%ymm6,%ymm6 + addl 36+128(%rsp),%ecx + andl %r11d,%r12d + rorxl $25,%r11d,%r13d + vpxor %ymm5,%ymm4,%ymm4 + rorxl $11,%r11d,%edi + leal (%rdx,%r14,1),%edx + leal (%rcx,%r12,1),%ecx + vpslld $11,%ymm5,%ymm5 + andnl %ebx,%r11d,%r12d + xorl %edi,%r13d + rorxl $6,%r11d,%r14d + vpxor %ymm6,%ymm4,%ymm4 + leal (%rcx,%r12,1),%ecx + xorl %r14d,%r13d + movl %edx,%edi + vpsrld $10,%ymm7,%ymm6 + rorxl $22,%edx,%r12d + leal (%rcx,%r13,1),%ecx + xorl %r8d,%edi + vpxor %ymm5,%ymm4,%ymm4 + rorxl $13,%edx,%r14d + rorxl $2,%edx,%r13d + leal (%r10,%rcx,1),%r10d + vpsrlq $17,%ymm7,%ymm7 + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r8d,%r15d + vpaddd %ymm4,%ymm1,%ymm1 + xorl %r13d,%r14d + leal (%rcx,%r15,1),%ecx + movl %r11d,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 40+128(%rsp),%ebx + andl %r10d,%r12d + rorxl $25,%r10d,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%r10d,%r15d + leal (%rcx,%r14,1),%ecx + leal (%rbx,%r12,1),%ebx + vpxor %ymm7,%ymm6,%ymm6 + andnl %eax,%r10d,%r12d + xorl %r15d,%r13d + rorxl $6,%r10d,%r14d + vpshufb %ymm8,%ymm6,%ymm6 + leal (%rbx,%r12,1),%ebx + xorl %r14d,%r13d + movl %ecx,%r15d + vpaddd %ymm6,%ymm1,%ymm1 + rorxl $22,%ecx,%r12d + leal (%rbx,%r13,1),%ebx + xorl %edx,%r15d + vpshufd $80,%ymm1,%ymm7 + rorxl $13,%ecx,%r14d + rorxl $2,%ecx,%r13d + leal (%r9,%rbx,1),%r9d + vpsrld $10,%ymm7,%ymm6 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %edx,%edi + vpsrlq $17,%ymm7,%ymm7 + xorl %r13d,%r14d + leal (%rbx,%rdi,1),%ebx + movl %r10d,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 44+128(%rsp),%eax + andl %r9d,%r12d + rorxl $25,%r9d,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%r9d,%edi + leal (%rbx,%r14,1),%ebx + leal (%rax,%r12,1),%eax + vpxor %ymm7,%ymm6,%ymm6 + andnl %r11d,%r9d,%r12d + xorl %edi,%r13d + rorxl $6,%r9d,%r14d + vpshufb %ymm9,%ymm6,%ymm6 + leal (%rax,%r12,1),%eax + xorl %r14d,%r13d + movl %ebx,%edi + vpaddd %ymm6,%ymm1,%ymm1 + rorxl $22,%ebx,%r12d + leal (%rax,%r13,1),%eax + xorl %ecx,%edi + vpaddd 32(%rsi),%ymm1,%ymm6 + rorxl $13,%ebx,%r14d + rorxl $2,%ebx,%r13d + leal (%r8,%rax,1),%r8d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %ecx,%r15d + xorl %r13d,%r14d + leal (%rax,%r15,1),%eax + movl %r9d,%r12d + vmovdqa %ymm6,32(%rsp) + leaq -64(%rsp),%rsp + vpalignr $4,%ymm2,%ymm3,%ymm4 + addl 0+128(%rsp),%r11d + andl %r8d,%r12d + rorxl $25,%r8d,%r13d + vpalignr $4,%ymm0,%ymm1,%ymm7 + rorxl $11,%r8d,%r15d + leal (%rax,%r14,1),%eax + leal (%r11,%r12,1),%r11d + vpsrld $7,%ymm4,%ymm6 + andnl %r10d,%r8d,%r12d + xorl %r15d,%r13d + rorxl $6,%r8d,%r14d + vpaddd %ymm7,%ymm2,%ymm2 + leal (%r11,%r12,1),%r11d + xorl %r14d,%r13d + movl %eax,%r15d + vpsrld $3,%ymm4,%ymm7 + rorxl $22,%eax,%r12d + leal (%r11,%r13,1),%r11d + xorl %ebx,%r15d + vpslld $14,%ymm4,%ymm5 + rorxl $13,%eax,%r14d + rorxl $2,%eax,%r13d + leal (%rdx,%r11,1),%edx + vpxor %ymm6,%ymm7,%ymm4 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %ebx,%edi + vpshufd $250,%ymm1,%ymm7 + xorl %r13d,%r14d + leal (%r11,%rdi,1),%r11d + movl %r8d,%r12d + vpsrld $11,%ymm6,%ymm6 + addl 4+128(%rsp),%r10d + andl %edx,%r12d + rorxl $25,%edx,%r13d + vpxor %ymm5,%ymm4,%ymm4 + rorxl $11,%edx,%edi + leal (%r11,%r14,1),%r11d + leal (%r10,%r12,1),%r10d + vpslld $11,%ymm5,%ymm5 + andnl %r9d,%edx,%r12d + xorl %edi,%r13d + rorxl $6,%edx,%r14d + vpxor %ymm6,%ymm4,%ymm4 + leal (%r10,%r12,1),%r10d + xorl %r14d,%r13d + movl %r11d,%edi + vpsrld $10,%ymm7,%ymm6 + rorxl $22,%r11d,%r12d + leal (%r10,%r13,1),%r10d + xorl %eax,%edi + vpxor %ymm5,%ymm4,%ymm4 + rorxl $13,%r11d,%r14d + rorxl $2,%r11d,%r13d + leal (%rcx,%r10,1),%ecx + vpsrlq $17,%ymm7,%ymm7 + andl %edi,%r15d + xorl %r12d,%r14d + xorl %eax,%r15d + vpaddd %ymm4,%ymm2,%ymm2 + xorl %r13d,%r14d + leal (%r10,%r15,1),%r10d + movl %edx,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 8+128(%rsp),%r9d + andl %ecx,%r12d + rorxl $25,%ecx,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%ecx,%r15d + leal (%r10,%r14,1),%r10d + leal (%r9,%r12,1),%r9d + vpxor %ymm7,%ymm6,%ymm6 + andnl %r8d,%ecx,%r12d + xorl %r15d,%r13d + rorxl $6,%ecx,%r14d + vpshufb %ymm8,%ymm6,%ymm6 + leal (%r9,%r12,1),%r9d + xorl %r14d,%r13d + movl %r10d,%r15d + vpaddd %ymm6,%ymm2,%ymm2 + rorxl $22,%r10d,%r12d + leal (%r9,%r13,1),%r9d + xorl %r11d,%r15d + vpshufd $80,%ymm2,%ymm7 + rorxl $13,%r10d,%r14d + rorxl $2,%r10d,%r13d + leal (%rbx,%r9,1),%ebx + vpsrld $10,%ymm7,%ymm6 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r11d,%edi + vpsrlq $17,%ymm7,%ymm7 + xorl %r13d,%r14d + leal (%r9,%rdi,1),%r9d + movl %ecx,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 12+128(%rsp),%r8d + andl %ebx,%r12d + rorxl $25,%ebx,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%ebx,%edi + leal (%r9,%r14,1),%r9d + leal (%r8,%r12,1),%r8d + vpxor %ymm7,%ymm6,%ymm6 + andnl %edx,%ebx,%r12d + xorl %edi,%r13d + rorxl $6,%ebx,%r14d + vpshufb %ymm9,%ymm6,%ymm6 + leal (%r8,%r12,1),%r8d + xorl %r14d,%r13d + movl %r9d,%edi + vpaddd %ymm6,%ymm2,%ymm2 + rorxl $22,%r9d,%r12d + leal (%r8,%r13,1),%r8d + xorl %r10d,%edi + vpaddd 64(%rsi),%ymm2,%ymm6 + rorxl $13,%r9d,%r14d + rorxl $2,%r9d,%r13d + leal (%rax,%r8,1),%eax + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r10d,%r15d + xorl %r13d,%r14d + leal (%r8,%r15,1),%r8d + movl %ebx,%r12d + vmovdqa %ymm6,0(%rsp) + vpalignr $4,%ymm3,%ymm0,%ymm4 + addl 32+128(%rsp),%edx + andl %eax,%r12d + rorxl $25,%eax,%r13d + vpalignr $4,%ymm1,%ymm2,%ymm7 + rorxl $11,%eax,%r15d + leal (%r8,%r14,1),%r8d + leal (%rdx,%r12,1),%edx + vpsrld $7,%ymm4,%ymm6 + andnl %ecx,%eax,%r12d + xorl %r15d,%r13d + rorxl $6,%eax,%r14d + vpaddd %ymm7,%ymm3,%ymm3 + leal (%rdx,%r12,1),%edx + xorl %r14d,%r13d + movl %r8d,%r15d + vpsrld $3,%ymm4,%ymm7 + rorxl $22,%r8d,%r12d + leal (%rdx,%r13,1),%edx + xorl %r9d,%r15d + vpslld $14,%ymm4,%ymm5 + rorxl $13,%r8d,%r14d + rorxl $2,%r8d,%r13d + leal (%r11,%rdx,1),%r11d + vpxor %ymm6,%ymm7,%ymm4 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r9d,%edi + vpshufd $250,%ymm2,%ymm7 + xorl %r13d,%r14d + leal (%rdx,%rdi,1),%edx + movl %eax,%r12d + vpsrld $11,%ymm6,%ymm6 + addl 36+128(%rsp),%ecx + andl %r11d,%r12d + rorxl $25,%r11d,%r13d + vpxor %ymm5,%ymm4,%ymm4 + rorxl $11,%r11d,%edi + leal (%rdx,%r14,1),%edx + leal (%rcx,%r12,1),%ecx + vpslld $11,%ymm5,%ymm5 + andnl %ebx,%r11d,%r12d + xorl %edi,%r13d + rorxl $6,%r11d,%r14d + vpxor %ymm6,%ymm4,%ymm4 + leal (%rcx,%r12,1),%ecx + xorl %r14d,%r13d + movl %edx,%edi + vpsrld $10,%ymm7,%ymm6 + rorxl $22,%edx,%r12d + leal (%rcx,%r13,1),%ecx + xorl %r8d,%edi + vpxor %ymm5,%ymm4,%ymm4 + rorxl $13,%edx,%r14d + rorxl $2,%edx,%r13d + leal (%r10,%rcx,1),%r10d + vpsrlq $17,%ymm7,%ymm7 + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r8d,%r15d + vpaddd %ymm4,%ymm3,%ymm3 + xorl %r13d,%r14d + leal (%rcx,%r15,1),%ecx + movl %r11d,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 40+128(%rsp),%ebx + andl %r10d,%r12d + rorxl $25,%r10d,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%r10d,%r15d + leal (%rcx,%r14,1),%ecx + leal (%rbx,%r12,1),%ebx + vpxor %ymm7,%ymm6,%ymm6 + andnl %eax,%r10d,%r12d + xorl %r15d,%r13d + rorxl $6,%r10d,%r14d + vpshufb %ymm8,%ymm6,%ymm6 + leal (%rbx,%r12,1),%ebx + xorl %r14d,%r13d + movl %ecx,%r15d + vpaddd %ymm6,%ymm3,%ymm3 + rorxl $22,%ecx,%r12d + leal (%rbx,%r13,1),%ebx + xorl %edx,%r15d + vpshufd $80,%ymm3,%ymm7 + rorxl $13,%ecx,%r14d + rorxl $2,%ecx,%r13d + leal (%r9,%rbx,1),%r9d + vpsrld $10,%ymm7,%ymm6 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %edx,%edi + vpsrlq $17,%ymm7,%ymm7 + xorl %r13d,%r14d + leal (%rbx,%rdi,1),%ebx + movl %r10d,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 44+128(%rsp),%eax + andl %r9d,%r12d + rorxl $25,%r9d,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%r9d,%edi + leal (%rbx,%r14,1),%ebx + leal (%rax,%r12,1),%eax + vpxor %ymm7,%ymm6,%ymm6 + andnl %r11d,%r9d,%r12d + xorl %edi,%r13d + rorxl $6,%r9d,%r14d + vpshufb %ymm9,%ymm6,%ymm6 + leal (%rax,%r12,1),%eax + xorl %r14d,%r13d + movl %ebx,%edi + vpaddd %ymm6,%ymm3,%ymm3 + rorxl $22,%ebx,%r12d + leal (%rax,%r13,1),%eax + xorl %ecx,%edi + vpaddd 96(%rsi),%ymm3,%ymm6 + rorxl $13,%ebx,%r14d + rorxl $2,%ebx,%r13d + leal (%r8,%rax,1),%r8d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %ecx,%r15d + xorl %r13d,%r14d + leal (%rax,%r15,1),%eax + movl %r9d,%r12d + vmovdqa %ymm6,32(%rsp) + leaq 128(%rsi),%rsi + cmpb $0,3(%rsi) + jne .Lavx2_00_47 + addl 0+64(%rsp),%r11d + andl %r8d,%r12d + rorxl $25,%r8d,%r13d + rorxl $11,%r8d,%r15d + leal (%rax,%r14,1),%eax + leal (%r11,%r12,1),%r11d + andnl %r10d,%r8d,%r12d + xorl %r15d,%r13d + rorxl $6,%r8d,%r14d + leal (%r11,%r12,1),%r11d + xorl %r14d,%r13d + movl %eax,%r15d + rorxl $22,%eax,%r12d + leal (%r11,%r13,1),%r11d + xorl %ebx,%r15d + rorxl $13,%eax,%r14d + rorxl $2,%eax,%r13d + leal (%rdx,%r11,1),%edx + andl %r15d,%edi + xorl %r12d,%r14d + xorl %ebx,%edi + xorl %r13d,%r14d + leal (%r11,%rdi,1),%r11d + movl %r8d,%r12d + addl 4+64(%rsp),%r10d + andl %edx,%r12d + rorxl $25,%edx,%r13d + rorxl $11,%edx,%edi + leal (%r11,%r14,1),%r11d + leal (%r10,%r12,1),%r10d + andnl %r9d,%edx,%r12d + xorl %edi,%r13d + rorxl $6,%edx,%r14d + leal (%r10,%r12,1),%r10d + xorl %r14d,%r13d + movl %r11d,%edi + rorxl $22,%r11d,%r12d + leal (%r10,%r13,1),%r10d + xorl %eax,%edi + rorxl $13,%r11d,%r14d + rorxl $2,%r11d,%r13d + leal (%rcx,%r10,1),%ecx + andl %edi,%r15d + xorl %r12d,%r14d + xorl %eax,%r15d + xorl %r13d,%r14d + leal (%r10,%r15,1),%r10d + movl %edx,%r12d + addl 8+64(%rsp),%r9d + andl %ecx,%r12d + rorxl $25,%ecx,%r13d + rorxl $11,%ecx,%r15d + leal (%r10,%r14,1),%r10d + leal (%r9,%r12,1),%r9d + andnl %r8d,%ecx,%r12d + xorl %r15d,%r13d + rorxl $6,%ecx,%r14d + leal (%r9,%r12,1),%r9d + xorl %r14d,%r13d + movl %r10d,%r15d + rorxl $22,%r10d,%r12d + leal (%r9,%r13,1),%r9d + xorl %r11d,%r15d + rorxl $13,%r10d,%r14d + rorxl $2,%r10d,%r13d + leal (%rbx,%r9,1),%ebx + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r11d,%edi + xorl %r13d,%r14d + leal (%r9,%rdi,1),%r9d + movl %ecx,%r12d + addl 12+64(%rsp),%r8d + andl %ebx,%r12d + rorxl $25,%ebx,%r13d + rorxl $11,%ebx,%edi + leal (%r9,%r14,1),%r9d + leal (%r8,%r12,1),%r8d + andnl %edx,%ebx,%r12d + xorl %edi,%r13d + rorxl $6,%ebx,%r14d + leal (%r8,%r12,1),%r8d + xorl %r14d,%r13d + movl %r9d,%edi + rorxl $22,%r9d,%r12d + leal (%r8,%r13,1),%r8d + xorl %r10d,%edi + rorxl $13,%r9d,%r14d + rorxl $2,%r9d,%r13d + leal (%rax,%r8,1),%eax + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r10d,%r15d + xorl %r13d,%r14d + leal (%r8,%r15,1),%r8d + movl %ebx,%r12d + addl 32+64(%rsp),%edx + andl %eax,%r12d + rorxl $25,%eax,%r13d + rorxl $11,%eax,%r15d + leal (%r8,%r14,1),%r8d + leal (%rdx,%r12,1),%edx + andnl %ecx,%eax,%r12d + xorl %r15d,%r13d + rorxl $6,%eax,%r14d + leal (%rdx,%r12,1),%edx + xorl %r14d,%r13d + movl %r8d,%r15d + rorxl $22,%r8d,%r12d + leal (%rdx,%r13,1),%edx + xorl %r9d,%r15d + rorxl $13,%r8d,%r14d + rorxl $2,%r8d,%r13d + leal (%r11,%rdx,1),%r11d + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r9d,%edi + xorl %r13d,%r14d + leal (%rdx,%rdi,1),%edx + movl %eax,%r12d + addl 36+64(%rsp),%ecx + andl %r11d,%r12d + rorxl $25,%r11d,%r13d + rorxl $11,%r11d,%edi + leal (%rdx,%r14,1),%edx + leal (%rcx,%r12,1),%ecx + andnl %ebx,%r11d,%r12d + xorl %edi,%r13d + rorxl $6,%r11d,%r14d + leal (%rcx,%r12,1),%ecx + xorl %r14d,%r13d + movl %edx,%edi + rorxl $22,%edx,%r12d + leal (%rcx,%r13,1),%ecx + xorl %r8d,%edi + rorxl $13,%edx,%r14d + rorxl $2,%edx,%r13d + leal (%r10,%rcx,1),%r10d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r8d,%r15d + xorl %r13d,%r14d + leal (%rcx,%r15,1),%ecx + movl %r11d,%r12d + addl 40+64(%rsp),%ebx + andl %r10d,%r12d + rorxl $25,%r10d,%r13d + rorxl $11,%r10d,%r15d + leal (%rcx,%r14,1),%ecx + leal (%rbx,%r12,1),%ebx + andnl %eax,%r10d,%r12d + xorl %r15d,%r13d + rorxl $6,%r10d,%r14d + leal (%rbx,%r12,1),%ebx + xorl %r14d,%r13d + movl %ecx,%r15d + rorxl $22,%ecx,%r12d + leal (%rbx,%r13,1),%ebx + xorl %edx,%r15d + rorxl $13,%ecx,%r14d + rorxl $2,%ecx,%r13d + leal (%r9,%rbx,1),%r9d + andl %r15d,%edi + xorl %r12d,%r14d + xorl %edx,%edi + xorl %r13d,%r14d + leal (%rbx,%rdi,1),%ebx + movl %r10d,%r12d + addl 44+64(%rsp),%eax + andl %r9d,%r12d + rorxl $25,%r9d,%r13d + rorxl $11,%r9d,%edi + leal (%rbx,%r14,1),%ebx + leal (%rax,%r12,1),%eax + andnl %r11d,%r9d,%r12d + xorl %edi,%r13d + rorxl $6,%r9d,%r14d + leal (%rax,%r12,1),%eax + xorl %r14d,%r13d + movl %ebx,%edi + rorxl $22,%ebx,%r12d + leal (%rax,%r13,1),%eax + xorl %ecx,%edi + rorxl $13,%ebx,%r14d + rorxl $2,%ebx,%r13d + leal (%r8,%rax,1),%r8d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %ecx,%r15d + xorl %r13d,%r14d + leal (%rax,%r15,1),%eax + movl %r9d,%r12d + addl 0(%rsp),%r11d + andl %r8d,%r12d + rorxl $25,%r8d,%r13d + rorxl $11,%r8d,%r15d + leal (%rax,%r14,1),%eax + leal (%r11,%r12,1),%r11d + andnl %r10d,%r8d,%r12d + xorl %r15d,%r13d + rorxl $6,%r8d,%r14d + leal (%r11,%r12,1),%r11d + xorl %r14d,%r13d + movl %eax,%r15d + rorxl $22,%eax,%r12d + leal (%r11,%r13,1),%r11d + xorl %ebx,%r15d + rorxl $13,%eax,%r14d + rorxl $2,%eax,%r13d + leal (%rdx,%r11,1),%edx + andl %r15d,%edi + xorl %r12d,%r14d + xorl %ebx,%edi + xorl %r13d,%r14d + leal (%r11,%rdi,1),%r11d + movl %r8d,%r12d + addl 4(%rsp),%r10d + andl %edx,%r12d + rorxl $25,%edx,%r13d + rorxl $11,%edx,%edi + leal (%r11,%r14,1),%r11d + leal (%r10,%r12,1),%r10d + andnl %r9d,%edx,%r12d + xorl %edi,%r13d + rorxl $6,%edx,%r14d + leal (%r10,%r12,1),%r10d + xorl %r14d,%r13d + movl %r11d,%edi + rorxl $22,%r11d,%r12d + leal (%r10,%r13,1),%r10d + xorl %eax,%edi + rorxl $13,%r11d,%r14d + rorxl $2,%r11d,%r13d + leal (%rcx,%r10,1),%ecx + andl %edi,%r15d + xorl %r12d,%r14d + xorl %eax,%r15d + xorl %r13d,%r14d + leal (%r10,%r15,1),%r10d + movl %edx,%r12d + addl 8(%rsp),%r9d + andl %ecx,%r12d + rorxl $25,%ecx,%r13d + rorxl $11,%ecx,%r15d + leal (%r10,%r14,1),%r10d + leal (%r9,%r12,1),%r9d + andnl %r8d,%ecx,%r12d + xorl %r15d,%r13d + rorxl $6,%ecx,%r14d + leal (%r9,%r12,1),%r9d + xorl %r14d,%r13d + movl %r10d,%r15d + rorxl $22,%r10d,%r12d + leal (%r9,%r13,1),%r9d + xorl %r11d,%r15d + rorxl $13,%r10d,%r14d + rorxl $2,%r10d,%r13d + leal (%rbx,%r9,1),%ebx + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r11d,%edi + xorl %r13d,%r14d + leal (%r9,%rdi,1),%r9d + movl %ecx,%r12d + addl 12(%rsp),%r8d + andl %ebx,%r12d + rorxl $25,%ebx,%r13d + rorxl $11,%ebx,%edi + leal (%r9,%r14,1),%r9d + leal (%r8,%r12,1),%r8d + andnl %edx,%ebx,%r12d + xorl %edi,%r13d + rorxl $6,%ebx,%r14d + leal (%r8,%r12,1),%r8d + xorl %r14d,%r13d + movl %r9d,%edi + rorxl $22,%r9d,%r12d + leal (%r8,%r13,1),%r8d + xorl %r10d,%edi + rorxl $13,%r9d,%r14d + rorxl $2,%r9d,%r13d + leal (%rax,%r8,1),%eax + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r10d,%r15d + xorl %r13d,%r14d + leal (%r8,%r15,1),%r8d + movl %ebx,%r12d + addl 32(%rsp),%edx + andl %eax,%r12d + rorxl $25,%eax,%r13d + rorxl $11,%eax,%r15d + leal (%r8,%r14,1),%r8d + leal (%rdx,%r12,1),%edx + andnl %ecx,%eax,%r12d + xorl %r15d,%r13d + rorxl $6,%eax,%r14d + leal (%rdx,%r12,1),%edx + xorl %r14d,%r13d + movl %r8d,%r15d + rorxl $22,%r8d,%r12d + leal (%rdx,%r13,1),%edx + xorl %r9d,%r15d + rorxl $13,%r8d,%r14d + rorxl $2,%r8d,%r13d + leal (%r11,%rdx,1),%r11d + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r9d,%edi + xorl %r13d,%r14d + leal (%rdx,%rdi,1),%edx + movl %eax,%r12d + addl 36(%rsp),%ecx + andl %r11d,%r12d + rorxl $25,%r11d,%r13d + rorxl $11,%r11d,%edi + leal (%rdx,%r14,1),%edx + leal (%rcx,%r12,1),%ecx + andnl %ebx,%r11d,%r12d + xorl %edi,%r13d + rorxl $6,%r11d,%r14d + leal (%rcx,%r12,1),%ecx + xorl %r14d,%r13d + movl %edx,%edi + rorxl $22,%edx,%r12d + leal (%rcx,%r13,1),%ecx + xorl %r8d,%edi + rorxl $13,%edx,%r14d + rorxl $2,%edx,%r13d + leal (%r10,%rcx,1),%r10d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r8d,%r15d + xorl %r13d,%r14d + leal (%rcx,%r15,1),%ecx + movl %r11d,%r12d + addl 40(%rsp),%ebx + andl %r10d,%r12d + rorxl $25,%r10d,%r13d + rorxl $11,%r10d,%r15d + leal (%rcx,%r14,1),%ecx + leal (%rbx,%r12,1),%ebx + andnl %eax,%r10d,%r12d + xorl %r15d,%r13d + rorxl $6,%r10d,%r14d + leal (%rbx,%r12,1),%ebx + xorl %r14d,%r13d + movl %ecx,%r15d + rorxl $22,%ecx,%r12d + leal (%rbx,%r13,1),%ebx + xorl %edx,%r15d + rorxl $13,%ecx,%r14d + rorxl $2,%ecx,%r13d + leal (%r9,%rbx,1),%r9d + andl %r15d,%edi + xorl %r12d,%r14d + xorl %edx,%edi + xorl %r13d,%r14d + leal (%rbx,%rdi,1),%ebx + movl %r10d,%r12d + addl 44(%rsp),%eax + andl %r9d,%r12d + rorxl $25,%r9d,%r13d + rorxl $11,%r9d,%edi + leal (%rbx,%r14,1),%ebx + leal (%rax,%r12,1),%eax + andnl %r11d,%r9d,%r12d + xorl %edi,%r13d + rorxl $6,%r9d,%r14d + leal (%rax,%r12,1),%eax + xorl %r14d,%r13d + movl %ebx,%edi + rorxl $22,%ebx,%r12d + leal (%rax,%r13,1),%eax + xorl %ecx,%edi + rorxl $13,%ebx,%r14d + rorxl $2,%ebx,%r13d + leal (%r8,%rax,1),%r8d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %ecx,%r15d + xorl %r13d,%r14d + leal (%rax,%r15,1),%eax + movl %r9d,%r12d + movq -64(%rbp),%rdi + addl %r14d,%eax + movl -56(%rbp),%r12d + + addl 0(%rdi),%eax + addl 4(%rdi),%ebx + addl 8(%rdi),%ecx + addl 12(%rdi),%edx + addl 16(%rdi),%r8d + addl 20(%rdi),%r9d + addl 24(%rdi),%r10d + addl 28(%rdi),%r11d + + movl %eax,0(%rdi) + movl %ebx,4(%rdi) + movl %ecx,8(%rdi) + movl %edx,12(%rdi) + movl %r8d,16(%rdi) + movl %r9d,20(%rdi) + movl %r10d,24(%rdi) + movl %r11d,28(%rdi) + + cmpl -48(%rbp),%r12d + je .Ldone_avx2 + + leaq 448(%rsp),%rsi + xorl %r14d,%r14d + movl %ebx,%edi + xorl %ecx,%edi + movl %r9d,%r12d + jmp .Lower_avx2 +.align 16 +.Lower_avx2: + addl 0+16(%rsi),%r11d + andl %r8d,%r12d + rorxl $25,%r8d,%r13d + rorxl $11,%r8d,%r15d + leal (%rax,%r14,1),%eax + leal (%r11,%r12,1),%r11d + andnl %r10d,%r8d,%r12d + xorl %r15d,%r13d + rorxl $6,%r8d,%r14d + leal (%r11,%r12,1),%r11d + xorl %r14d,%r13d + movl %eax,%r15d + rorxl $22,%eax,%r12d + leal (%r11,%r13,1),%r11d + xorl %ebx,%r15d + rorxl $13,%eax,%r14d + rorxl $2,%eax,%r13d + leal (%rdx,%r11,1),%edx + andl %r15d,%edi + xorl %r12d,%r14d + xorl %ebx,%edi + xorl %r13d,%r14d + leal (%r11,%rdi,1),%r11d + movl %r8d,%r12d + addl 4+16(%rsi),%r10d + andl %edx,%r12d + rorxl $25,%edx,%r13d + rorxl $11,%edx,%edi + leal (%r11,%r14,1),%r11d + leal (%r10,%r12,1),%r10d + andnl %r9d,%edx,%r12d + xorl %edi,%r13d + rorxl $6,%edx,%r14d + leal (%r10,%r12,1),%r10d + xorl %r14d,%r13d + movl %r11d,%edi + rorxl $22,%r11d,%r12d + leal (%r10,%r13,1),%r10d + xorl %eax,%edi + rorxl $13,%r11d,%r14d + rorxl $2,%r11d,%r13d + leal (%rcx,%r10,1),%ecx + andl %edi,%r15d + xorl %r12d,%r14d + xorl %eax,%r15d + xorl %r13d,%r14d + leal (%r10,%r15,1),%r10d + movl %edx,%r12d + addl 8+16(%rsi),%r9d + andl %ecx,%r12d + rorxl $25,%ecx,%r13d + rorxl $11,%ecx,%r15d + leal (%r10,%r14,1),%r10d + leal (%r9,%r12,1),%r9d + andnl %r8d,%ecx,%r12d + xorl %r15d,%r13d + rorxl $6,%ecx,%r14d + leal (%r9,%r12,1),%r9d + xorl %r14d,%r13d + movl %r10d,%r15d + rorxl $22,%r10d,%r12d + leal (%r9,%r13,1),%r9d + xorl %r11d,%r15d + rorxl $13,%r10d,%r14d + rorxl $2,%r10d,%r13d + leal (%rbx,%r9,1),%ebx + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r11d,%edi + xorl %r13d,%r14d + leal (%r9,%rdi,1),%r9d + movl %ecx,%r12d + addl 12+16(%rsi),%r8d + andl %ebx,%r12d + rorxl $25,%ebx,%r13d + rorxl $11,%ebx,%edi + leal (%r9,%r14,1),%r9d + leal (%r8,%r12,1),%r8d + andnl %edx,%ebx,%r12d + xorl %edi,%r13d + rorxl $6,%ebx,%r14d + leal (%r8,%r12,1),%r8d + xorl %r14d,%r13d + movl %r9d,%edi + rorxl $22,%r9d,%r12d + leal (%r8,%r13,1),%r8d + xorl %r10d,%edi + rorxl $13,%r9d,%r14d + rorxl $2,%r9d,%r13d + leal (%rax,%r8,1),%eax + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r10d,%r15d + xorl %r13d,%r14d + leal (%r8,%r15,1),%r8d + movl %ebx,%r12d + addl 32+16(%rsi),%edx + andl %eax,%r12d + rorxl $25,%eax,%r13d + rorxl $11,%eax,%r15d + leal (%r8,%r14,1),%r8d + leal (%rdx,%r12,1),%edx + andnl %ecx,%eax,%r12d + xorl %r15d,%r13d + rorxl $6,%eax,%r14d + leal (%rdx,%r12,1),%edx + xorl %r14d,%r13d + movl %r8d,%r15d + rorxl $22,%r8d,%r12d + leal (%rdx,%r13,1),%edx + xorl %r9d,%r15d + rorxl $13,%r8d,%r14d + rorxl $2,%r8d,%r13d + leal (%r11,%rdx,1),%r11d + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r9d,%edi + xorl %r13d,%r14d + leal (%rdx,%rdi,1),%edx + movl %eax,%r12d + addl 36+16(%rsi),%ecx + andl %r11d,%r12d + rorxl $25,%r11d,%r13d + rorxl $11,%r11d,%edi + leal (%rdx,%r14,1),%edx + leal (%rcx,%r12,1),%ecx + andnl %ebx,%r11d,%r12d + xorl %edi,%r13d + rorxl $6,%r11d,%r14d + leal (%rcx,%r12,1),%ecx + xorl %r14d,%r13d + movl %edx,%edi + rorxl $22,%edx,%r12d + leal (%rcx,%r13,1),%ecx + xorl %r8d,%edi + rorxl $13,%edx,%r14d + rorxl $2,%edx,%r13d + leal (%r10,%rcx,1),%r10d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r8d,%r15d + xorl %r13d,%r14d + leal (%rcx,%r15,1),%ecx + movl %r11d,%r12d + addl 40+16(%rsi),%ebx + andl %r10d,%r12d + rorxl $25,%r10d,%r13d + rorxl $11,%r10d,%r15d + leal (%rcx,%r14,1),%ecx + leal (%rbx,%r12,1),%ebx + andnl %eax,%r10d,%r12d + xorl %r15d,%r13d + rorxl $6,%r10d,%r14d + leal (%rbx,%r12,1),%ebx + xorl %r14d,%r13d + movl %ecx,%r15d + rorxl $22,%ecx,%r12d + leal (%rbx,%r13,1),%ebx + xorl %edx,%r15d + rorxl $13,%ecx,%r14d + rorxl $2,%ecx,%r13d + leal (%r9,%rbx,1),%r9d + andl %r15d,%edi + xorl %r12d,%r14d + xorl %edx,%edi + xorl %r13d,%r14d + leal (%rbx,%rdi,1),%ebx + movl %r10d,%r12d + addl 44+16(%rsi),%eax + andl %r9d,%r12d + rorxl $25,%r9d,%r13d + rorxl $11,%r9d,%edi + leal (%rbx,%r14,1),%ebx + leal (%rax,%r12,1),%eax + andnl %r11d,%r9d,%r12d + xorl %edi,%r13d + rorxl $6,%r9d,%r14d + leal (%rax,%r12,1),%eax + xorl %r14d,%r13d + movl %ebx,%edi + rorxl $22,%ebx,%r12d + leal (%rax,%r13,1),%eax + xorl %ecx,%edi + rorxl $13,%ebx,%r14d + rorxl $2,%ebx,%r13d + leal (%r8,%rax,1),%r8d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %ecx,%r15d + xorl %r13d,%r14d + leal (%rax,%r15,1),%eax + movl %r9d,%r12d + leaq -64(%rsi),%rsi + cmpq %rsp,%rsi + jae .Lower_avx2 + + movq -64(%rbp),%rdi + addl %r14d,%eax + movq -56(%rbp),%rsi + leaq 448(%rsp),%rsp + + addl 0(%rdi),%eax + addl 4(%rdi),%ebx + addl 8(%rdi),%ecx + addl 12(%rdi),%edx + addl 16(%rdi),%r8d + addl 20(%rdi),%r9d + leaq 128(%rsi),%rsi + addl 24(%rdi),%r10d + movq %rsi,%r12 + addl 28(%rdi),%r11d + cmpq -48(%rbp),%rsi + + movl %eax,0(%rdi) + cmoveq %rsp,%r12 + movl %ebx,4(%rdi) + movl %ecx,8(%rdi) + movl %edx,12(%rdi) + movl %r8d,16(%rdi) + movl %r9d,20(%rdi) + movl %r10d,24(%rdi) + movl %r11d,28(%rdi) + + jbe .Loop_avx2 + +.Ldone_avx2: + vzeroupper + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp +.cfi_def_cfa_register %rsp + popq %rbp +.cfi_adjust_cfa_offset -8 +.cfi_restore %rbp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbx + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_sha256_asm_block_data_order_avx2,.-crypton_sha256_asm_block_data_order_avx2 + +.section .note.gnu.property,"a",@note + .long 4,2f-1f,5 + .byte 0x47,0x4E,0x55,0 +1: .long 0xc0000002,4,3 +.align 8 +2: + +.section .note.GNU-stack,"",@progbits diff --git a/cbits/asm/sha256-x86_64-macosx.S b/cbits/asm/sha256-x86_64-macosx.S new file mode 100644 --- /dev/null +++ b/cbits/asm/sha256-x86_64-macosx.S @@ -0,0 +1,5454 @@ +.text + + +.globl _crypton_sha256_asm_block_data_order + +.p2align 4 +_crypton_sha256_asm_block_data_order: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp + leaq _crypton_ia32cap_P(%rip),%rax + movl 0(%rax),%r9d + movl 4(%rax),%r10d + movl 8(%rax),%eax + testl $536870912,%eax + jnz L$shaext_shortcut + andl $296,%eax + cmpl $296,%eax + je L$avx2_shortcut + andl $1073741824,%r9d + andl $268435968,%r10d + orl %r9d,%r10d + cmpl $1342177792,%r10d + je L$avx_shortcut + testl $512,%r10d + jnz L$ssse3_shortcut + pushq %rbx +.cfi_offset %rbx,-24 + pushq %r12 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_offset %r15,-56 + shlq $4,%rdx + subq $64+24,%rsp + +.cfi_def_cfa %rsp,144 + + leaq (%rsi,%rdx,4),%rdx + movq %rdi,64+0(%rsp) + movq %rsi,64+8(%rsp) + movq %rdx,64+16(%rsp) + + movl 0(%rdi),%eax + movl 4(%rdi),%ebx + movl 8(%rdi),%ecx + movl 12(%rdi),%edx + movl 16(%rdi),%r8d + movl 20(%rdi),%r9d + movl 24(%rdi),%r10d + movl 28(%rdi),%r11d + jmp L$loop + +.p2align 4 +L$loop: + movl %ebx,%edi + leaq K256(%rip),%rbp + xorl %ecx,%edi + movl 0(%rsi),%r12d + movl %r8d,%r13d + movl %eax,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r9d,%r15d + + xorl %r8d,%r13d + rorl $9,%r14d + xorl %r10d,%r15d + + movl %r12d,0(%rsp) + xorl %eax,%r14d + andl %r8d,%r15d + + rorl $5,%r13d + addl %r11d,%r12d + xorl %r10d,%r15d + + rorl $11,%r14d + xorl %r8d,%r13d + addl %r15d,%r12d + + movl %eax,%r15d + addl (%rbp),%r12d + xorl %eax,%r14d + + xorl %ebx,%r15d + rorl $6,%r13d + movl %ebx,%r11d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r11d + addl %r12d,%edx + addl %r12d,%r11d + + leaq 4(%rbp),%rbp + addl %r14d,%r11d + movl 4(%rsi),%r12d + movl %edx,%r13d + movl %r11d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r8d,%edi + + xorl %edx,%r13d + rorl $9,%r14d + xorl %r9d,%edi + + movl %r12d,4(%rsp) + xorl %r11d,%r14d + andl %edx,%edi + + rorl $5,%r13d + addl %r10d,%r12d + xorl %r9d,%edi + + rorl $11,%r14d + xorl %edx,%r13d + addl %edi,%r12d + + movl %r11d,%edi + addl (%rbp),%r12d + xorl %r11d,%r14d + + xorl %eax,%edi + rorl $6,%r13d + movl %eax,%r10d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r10d + addl %r12d,%ecx + addl %r12d,%r10d + + leaq 4(%rbp),%rbp + addl %r14d,%r10d + movl 8(%rsi),%r12d + movl %ecx,%r13d + movl %r10d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %edx,%r15d + + xorl %ecx,%r13d + rorl $9,%r14d + xorl %r8d,%r15d + + movl %r12d,8(%rsp) + xorl %r10d,%r14d + andl %ecx,%r15d + + rorl $5,%r13d + addl %r9d,%r12d + xorl %r8d,%r15d + + rorl $11,%r14d + xorl %ecx,%r13d + addl %r15d,%r12d + + movl %r10d,%r15d + addl (%rbp),%r12d + xorl %r10d,%r14d + + xorl %r11d,%r15d + rorl $6,%r13d + movl %r11d,%r9d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r9d + addl %r12d,%ebx + addl %r12d,%r9d + + leaq 4(%rbp),%rbp + addl %r14d,%r9d + movl 12(%rsi),%r12d + movl %ebx,%r13d + movl %r9d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %ecx,%edi + + xorl %ebx,%r13d + rorl $9,%r14d + xorl %edx,%edi + + movl %r12d,12(%rsp) + xorl %r9d,%r14d + andl %ebx,%edi + + rorl $5,%r13d + addl %r8d,%r12d + xorl %edx,%edi + + rorl $11,%r14d + xorl %ebx,%r13d + addl %edi,%r12d + + movl %r9d,%edi + addl (%rbp),%r12d + xorl %r9d,%r14d + + xorl %r10d,%edi + rorl $6,%r13d + movl %r10d,%r8d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r8d + addl %r12d,%eax + addl %r12d,%r8d + + leaq 20(%rbp),%rbp + addl %r14d,%r8d + movl 16(%rsi),%r12d + movl %eax,%r13d + movl %r8d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %ebx,%r15d + + xorl %eax,%r13d + rorl $9,%r14d + xorl %ecx,%r15d + + movl %r12d,16(%rsp) + xorl %r8d,%r14d + andl %eax,%r15d + + rorl $5,%r13d + addl %edx,%r12d + xorl %ecx,%r15d + + rorl $11,%r14d + xorl %eax,%r13d + addl %r15d,%r12d + + movl %r8d,%r15d + addl (%rbp),%r12d + xorl %r8d,%r14d + + xorl %r9d,%r15d + rorl $6,%r13d + movl %r9d,%edx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%edx + addl %r12d,%r11d + addl %r12d,%edx + + leaq 4(%rbp),%rbp + addl %r14d,%edx + movl 20(%rsi),%r12d + movl %r11d,%r13d + movl %edx,%r14d + bswapl %r12d + rorl $14,%r13d + movl %eax,%edi + + xorl %r11d,%r13d + rorl $9,%r14d + xorl %ebx,%edi + + movl %r12d,20(%rsp) + xorl %edx,%r14d + andl %r11d,%edi + + rorl $5,%r13d + addl %ecx,%r12d + xorl %ebx,%edi + + rorl $11,%r14d + xorl %r11d,%r13d + addl %edi,%r12d + + movl %edx,%edi + addl (%rbp),%r12d + xorl %edx,%r14d + + xorl %r8d,%edi + rorl $6,%r13d + movl %r8d,%ecx + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%ecx + addl %r12d,%r10d + addl %r12d,%ecx + + leaq 4(%rbp),%rbp + addl %r14d,%ecx + movl 24(%rsi),%r12d + movl %r10d,%r13d + movl %ecx,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r11d,%r15d + + xorl %r10d,%r13d + rorl $9,%r14d + xorl %eax,%r15d + + movl %r12d,24(%rsp) + xorl %ecx,%r14d + andl %r10d,%r15d + + rorl $5,%r13d + addl %ebx,%r12d + xorl %eax,%r15d + + rorl $11,%r14d + xorl %r10d,%r13d + addl %r15d,%r12d + + movl %ecx,%r15d + addl (%rbp),%r12d + xorl %ecx,%r14d + + xorl %edx,%r15d + rorl $6,%r13d + movl %edx,%ebx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%ebx + addl %r12d,%r9d + addl %r12d,%ebx + + leaq 4(%rbp),%rbp + addl %r14d,%ebx + movl 28(%rsi),%r12d + movl %r9d,%r13d + movl %ebx,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r10d,%edi + + xorl %r9d,%r13d + rorl $9,%r14d + xorl %r11d,%edi + + movl %r12d,28(%rsp) + xorl %ebx,%r14d + andl %r9d,%edi + + rorl $5,%r13d + addl %eax,%r12d + xorl %r11d,%edi + + rorl $11,%r14d + xorl %r9d,%r13d + addl %edi,%r12d + + movl %ebx,%edi + addl (%rbp),%r12d + xorl %ebx,%r14d + + xorl %ecx,%edi + rorl $6,%r13d + movl %ecx,%eax + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%eax + addl %r12d,%r8d + addl %r12d,%eax + + leaq 20(%rbp),%rbp + addl %r14d,%eax + movl 32(%rsi),%r12d + movl %r8d,%r13d + movl %eax,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r9d,%r15d + + xorl %r8d,%r13d + rorl $9,%r14d + xorl %r10d,%r15d + + movl %r12d,32(%rsp) + xorl %eax,%r14d + andl %r8d,%r15d + + rorl $5,%r13d + addl %r11d,%r12d + xorl %r10d,%r15d + + rorl $11,%r14d + xorl %r8d,%r13d + addl %r15d,%r12d + + movl %eax,%r15d + addl (%rbp),%r12d + xorl %eax,%r14d + + xorl %ebx,%r15d + rorl $6,%r13d + movl %ebx,%r11d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r11d + addl %r12d,%edx + addl %r12d,%r11d + + leaq 4(%rbp),%rbp + addl %r14d,%r11d + movl 36(%rsi),%r12d + movl %edx,%r13d + movl %r11d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r8d,%edi + + xorl %edx,%r13d + rorl $9,%r14d + xorl %r9d,%edi + + movl %r12d,36(%rsp) + xorl %r11d,%r14d + andl %edx,%edi + + rorl $5,%r13d + addl %r10d,%r12d + xorl %r9d,%edi + + rorl $11,%r14d + xorl %edx,%r13d + addl %edi,%r12d + + movl %r11d,%edi + addl (%rbp),%r12d + xorl %r11d,%r14d + + xorl %eax,%edi + rorl $6,%r13d + movl %eax,%r10d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r10d + addl %r12d,%ecx + addl %r12d,%r10d + + leaq 4(%rbp),%rbp + addl %r14d,%r10d + movl 40(%rsi),%r12d + movl %ecx,%r13d + movl %r10d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %edx,%r15d + + xorl %ecx,%r13d + rorl $9,%r14d + xorl %r8d,%r15d + + movl %r12d,40(%rsp) + xorl %r10d,%r14d + andl %ecx,%r15d + + rorl $5,%r13d + addl %r9d,%r12d + xorl %r8d,%r15d + + rorl $11,%r14d + xorl %ecx,%r13d + addl %r15d,%r12d + + movl %r10d,%r15d + addl (%rbp),%r12d + xorl %r10d,%r14d + + xorl %r11d,%r15d + rorl $6,%r13d + movl %r11d,%r9d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r9d + addl %r12d,%ebx + addl %r12d,%r9d + + leaq 4(%rbp),%rbp + addl %r14d,%r9d + movl 44(%rsi),%r12d + movl %ebx,%r13d + movl %r9d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %ecx,%edi + + xorl %ebx,%r13d + rorl $9,%r14d + xorl %edx,%edi + + movl %r12d,44(%rsp) + xorl %r9d,%r14d + andl %ebx,%edi + + rorl $5,%r13d + addl %r8d,%r12d + xorl %edx,%edi + + rorl $11,%r14d + xorl %ebx,%r13d + addl %edi,%r12d + + movl %r9d,%edi + addl (%rbp),%r12d + xorl %r9d,%r14d + + xorl %r10d,%edi + rorl $6,%r13d + movl %r10d,%r8d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r8d + addl %r12d,%eax + addl %r12d,%r8d + + leaq 20(%rbp),%rbp + addl %r14d,%r8d + movl 48(%rsi),%r12d + movl %eax,%r13d + movl %r8d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %ebx,%r15d + + xorl %eax,%r13d + rorl $9,%r14d + xorl %ecx,%r15d + + movl %r12d,48(%rsp) + xorl %r8d,%r14d + andl %eax,%r15d + + rorl $5,%r13d + addl %edx,%r12d + xorl %ecx,%r15d + + rorl $11,%r14d + xorl %eax,%r13d + addl %r15d,%r12d + + movl %r8d,%r15d + addl (%rbp),%r12d + xorl %r8d,%r14d + + xorl %r9d,%r15d + rorl $6,%r13d + movl %r9d,%edx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%edx + addl %r12d,%r11d + addl %r12d,%edx + + leaq 4(%rbp),%rbp + addl %r14d,%edx + movl 52(%rsi),%r12d + movl %r11d,%r13d + movl %edx,%r14d + bswapl %r12d + rorl $14,%r13d + movl %eax,%edi + + xorl %r11d,%r13d + rorl $9,%r14d + xorl %ebx,%edi + + movl %r12d,52(%rsp) + xorl %edx,%r14d + andl %r11d,%edi + + rorl $5,%r13d + addl %ecx,%r12d + xorl %ebx,%edi + + rorl $11,%r14d + xorl %r11d,%r13d + addl %edi,%r12d + + movl %edx,%edi + addl (%rbp),%r12d + xorl %edx,%r14d + + xorl %r8d,%edi + rorl $6,%r13d + movl %r8d,%ecx + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%ecx + addl %r12d,%r10d + addl %r12d,%ecx + + leaq 4(%rbp),%rbp + addl %r14d,%ecx + movl 56(%rsi),%r12d + movl %r10d,%r13d + movl %ecx,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r11d,%r15d + + xorl %r10d,%r13d + rorl $9,%r14d + xorl %eax,%r15d + + movl %r12d,56(%rsp) + xorl %ecx,%r14d + andl %r10d,%r15d + + rorl $5,%r13d + addl %ebx,%r12d + xorl %eax,%r15d + + rorl $11,%r14d + xorl %r10d,%r13d + addl %r15d,%r12d + + movl %ecx,%r15d + addl (%rbp),%r12d + xorl %ecx,%r14d + + xorl %edx,%r15d + rorl $6,%r13d + movl %edx,%ebx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%ebx + addl %r12d,%r9d + addl %r12d,%ebx + + leaq 4(%rbp),%rbp + addl %r14d,%ebx + movl 60(%rsi),%r12d + movl %r9d,%r13d + movl %ebx,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r10d,%edi + + xorl %r9d,%r13d + rorl $9,%r14d + xorl %r11d,%edi + + movl %r12d,60(%rsp) + xorl %ebx,%r14d + andl %r9d,%edi + + rorl $5,%r13d + addl %eax,%r12d + xorl %r11d,%edi + + rorl $11,%r14d + xorl %r9d,%r13d + addl %edi,%r12d + + movl %ebx,%edi + addl (%rbp),%r12d + xorl %ebx,%r14d + + xorl %ecx,%edi + rorl $6,%r13d + movl %ecx,%eax + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%eax + addl %r12d,%r8d + addl %r12d,%eax + + leaq 20(%rbp),%rbp + jmp L$rounds_16_xx +.p2align 4 +L$rounds_16_xx: + movl 4(%rsp),%r13d + movl 56(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%eax + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 36(%rsp),%r12d + + addl 0(%rsp),%r12d + movl %r8d,%r13d + addl %r15d,%r12d + movl %eax,%r14d + rorl $14,%r13d + movl %r9d,%r15d + + xorl %r8d,%r13d + rorl $9,%r14d + xorl %r10d,%r15d + + movl %r12d,0(%rsp) + xorl %eax,%r14d + andl %r8d,%r15d + + rorl $5,%r13d + addl %r11d,%r12d + xorl %r10d,%r15d + + rorl $11,%r14d + xorl %r8d,%r13d + addl %r15d,%r12d + + movl %eax,%r15d + addl (%rbp),%r12d + xorl %eax,%r14d + + xorl %ebx,%r15d + rorl $6,%r13d + movl %ebx,%r11d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r11d + addl %r12d,%edx + addl %r12d,%r11d + + leaq 4(%rbp),%rbp + movl 8(%rsp),%r13d + movl 60(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r11d + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 40(%rsp),%r12d + + addl 4(%rsp),%r12d + movl %edx,%r13d + addl %edi,%r12d + movl %r11d,%r14d + rorl $14,%r13d + movl %r8d,%edi + + xorl %edx,%r13d + rorl $9,%r14d + xorl %r9d,%edi + + movl %r12d,4(%rsp) + xorl %r11d,%r14d + andl %edx,%edi + + rorl $5,%r13d + addl %r10d,%r12d + xorl %r9d,%edi + + rorl $11,%r14d + xorl %edx,%r13d + addl %edi,%r12d + + movl %r11d,%edi + addl (%rbp),%r12d + xorl %r11d,%r14d + + xorl %eax,%edi + rorl $6,%r13d + movl %eax,%r10d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r10d + addl %r12d,%ecx + addl %r12d,%r10d + + leaq 4(%rbp),%rbp + movl 12(%rsp),%r13d + movl 0(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r10d + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 44(%rsp),%r12d + + addl 8(%rsp),%r12d + movl %ecx,%r13d + addl %r15d,%r12d + movl %r10d,%r14d + rorl $14,%r13d + movl %edx,%r15d + + xorl %ecx,%r13d + rorl $9,%r14d + xorl %r8d,%r15d + + movl %r12d,8(%rsp) + xorl %r10d,%r14d + andl %ecx,%r15d + + rorl $5,%r13d + addl %r9d,%r12d + xorl %r8d,%r15d + + rorl $11,%r14d + xorl %ecx,%r13d + addl %r15d,%r12d + + movl %r10d,%r15d + addl (%rbp),%r12d + xorl %r10d,%r14d + + xorl %r11d,%r15d + rorl $6,%r13d + movl %r11d,%r9d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r9d + addl %r12d,%ebx + addl %r12d,%r9d + + leaq 4(%rbp),%rbp + movl 16(%rsp),%r13d + movl 4(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r9d + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 48(%rsp),%r12d + + addl 12(%rsp),%r12d + movl %ebx,%r13d + addl %edi,%r12d + movl %r9d,%r14d + rorl $14,%r13d + movl %ecx,%edi + + xorl %ebx,%r13d + rorl $9,%r14d + xorl %edx,%edi + + movl %r12d,12(%rsp) + xorl %r9d,%r14d + andl %ebx,%edi + + rorl $5,%r13d + addl %r8d,%r12d + xorl %edx,%edi + + rorl $11,%r14d + xorl %ebx,%r13d + addl %edi,%r12d + + movl %r9d,%edi + addl (%rbp),%r12d + xorl %r9d,%r14d + + xorl %r10d,%edi + rorl $6,%r13d + movl %r10d,%r8d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r8d + addl %r12d,%eax + addl %r12d,%r8d + + leaq 20(%rbp),%rbp + movl 20(%rsp),%r13d + movl 8(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r8d + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 52(%rsp),%r12d + + addl 16(%rsp),%r12d + movl %eax,%r13d + addl %r15d,%r12d + movl %r8d,%r14d + rorl $14,%r13d + movl %ebx,%r15d + + xorl %eax,%r13d + rorl $9,%r14d + xorl %ecx,%r15d + + movl %r12d,16(%rsp) + xorl %r8d,%r14d + andl %eax,%r15d + + rorl $5,%r13d + addl %edx,%r12d + xorl %ecx,%r15d + + rorl $11,%r14d + xorl %eax,%r13d + addl %r15d,%r12d + + movl %r8d,%r15d + addl (%rbp),%r12d + xorl %r8d,%r14d + + xorl %r9d,%r15d + rorl $6,%r13d + movl %r9d,%edx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%edx + addl %r12d,%r11d + addl %r12d,%edx + + leaq 4(%rbp),%rbp + movl 24(%rsp),%r13d + movl 12(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%edx + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 56(%rsp),%r12d + + addl 20(%rsp),%r12d + movl %r11d,%r13d + addl %edi,%r12d + movl %edx,%r14d + rorl $14,%r13d + movl %eax,%edi + + xorl %r11d,%r13d + rorl $9,%r14d + xorl %ebx,%edi + + movl %r12d,20(%rsp) + xorl %edx,%r14d + andl %r11d,%edi + + rorl $5,%r13d + addl %ecx,%r12d + xorl %ebx,%edi + + rorl $11,%r14d + xorl %r11d,%r13d + addl %edi,%r12d + + movl %edx,%edi + addl (%rbp),%r12d + xorl %edx,%r14d + + xorl %r8d,%edi + rorl $6,%r13d + movl %r8d,%ecx + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%ecx + addl %r12d,%r10d + addl %r12d,%ecx + + leaq 4(%rbp),%rbp + movl 28(%rsp),%r13d + movl 16(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%ecx + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 60(%rsp),%r12d + + addl 24(%rsp),%r12d + movl %r10d,%r13d + addl %r15d,%r12d + movl %ecx,%r14d + rorl $14,%r13d + movl %r11d,%r15d + + xorl %r10d,%r13d + rorl $9,%r14d + xorl %eax,%r15d + + movl %r12d,24(%rsp) + xorl %ecx,%r14d + andl %r10d,%r15d + + rorl $5,%r13d + addl %ebx,%r12d + xorl %eax,%r15d + + rorl $11,%r14d + xorl %r10d,%r13d + addl %r15d,%r12d + + movl %ecx,%r15d + addl (%rbp),%r12d + xorl %ecx,%r14d + + xorl %edx,%r15d + rorl $6,%r13d + movl %edx,%ebx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%ebx + addl %r12d,%r9d + addl %r12d,%ebx + + leaq 4(%rbp),%rbp + movl 32(%rsp),%r13d + movl 20(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%ebx + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 0(%rsp),%r12d + + addl 28(%rsp),%r12d + movl %r9d,%r13d + addl %edi,%r12d + movl %ebx,%r14d + rorl $14,%r13d + movl %r10d,%edi + + xorl %r9d,%r13d + rorl $9,%r14d + xorl %r11d,%edi + + movl %r12d,28(%rsp) + xorl %ebx,%r14d + andl %r9d,%edi + + rorl $5,%r13d + addl %eax,%r12d + xorl %r11d,%edi + + rorl $11,%r14d + xorl %r9d,%r13d + addl %edi,%r12d + + movl %ebx,%edi + addl (%rbp),%r12d + xorl %ebx,%r14d + + xorl %ecx,%edi + rorl $6,%r13d + movl %ecx,%eax + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%eax + addl %r12d,%r8d + addl %r12d,%eax + + leaq 20(%rbp),%rbp + movl 36(%rsp),%r13d + movl 24(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%eax + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 4(%rsp),%r12d + + addl 32(%rsp),%r12d + movl %r8d,%r13d + addl %r15d,%r12d + movl %eax,%r14d + rorl $14,%r13d + movl %r9d,%r15d + + xorl %r8d,%r13d + rorl $9,%r14d + xorl %r10d,%r15d + + movl %r12d,32(%rsp) + xorl %eax,%r14d + andl %r8d,%r15d + + rorl $5,%r13d + addl %r11d,%r12d + xorl %r10d,%r15d + + rorl $11,%r14d + xorl %r8d,%r13d + addl %r15d,%r12d + + movl %eax,%r15d + addl (%rbp),%r12d + xorl %eax,%r14d + + xorl %ebx,%r15d + rorl $6,%r13d + movl %ebx,%r11d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r11d + addl %r12d,%edx + addl %r12d,%r11d + + leaq 4(%rbp),%rbp + movl 40(%rsp),%r13d + movl 28(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r11d + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 8(%rsp),%r12d + + addl 36(%rsp),%r12d + movl %edx,%r13d + addl %edi,%r12d + movl %r11d,%r14d + rorl $14,%r13d + movl %r8d,%edi + + xorl %edx,%r13d + rorl $9,%r14d + xorl %r9d,%edi + + movl %r12d,36(%rsp) + xorl %r11d,%r14d + andl %edx,%edi + + rorl $5,%r13d + addl %r10d,%r12d + xorl %r9d,%edi + + rorl $11,%r14d + xorl %edx,%r13d + addl %edi,%r12d + + movl %r11d,%edi + addl (%rbp),%r12d + xorl %r11d,%r14d + + xorl %eax,%edi + rorl $6,%r13d + movl %eax,%r10d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r10d + addl %r12d,%ecx + addl %r12d,%r10d + + leaq 4(%rbp),%rbp + movl 44(%rsp),%r13d + movl 32(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r10d + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 12(%rsp),%r12d + + addl 40(%rsp),%r12d + movl %ecx,%r13d + addl %r15d,%r12d + movl %r10d,%r14d + rorl $14,%r13d + movl %edx,%r15d + + xorl %ecx,%r13d + rorl $9,%r14d + xorl %r8d,%r15d + + movl %r12d,40(%rsp) + xorl %r10d,%r14d + andl %ecx,%r15d + + rorl $5,%r13d + addl %r9d,%r12d + xorl %r8d,%r15d + + rorl $11,%r14d + xorl %ecx,%r13d + addl %r15d,%r12d + + movl %r10d,%r15d + addl (%rbp),%r12d + xorl %r10d,%r14d + + xorl %r11d,%r15d + rorl $6,%r13d + movl %r11d,%r9d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r9d + addl %r12d,%ebx + addl %r12d,%r9d + + leaq 4(%rbp),%rbp + movl 48(%rsp),%r13d + movl 36(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r9d + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 16(%rsp),%r12d + + addl 44(%rsp),%r12d + movl %ebx,%r13d + addl %edi,%r12d + movl %r9d,%r14d + rorl $14,%r13d + movl %ecx,%edi + + xorl %ebx,%r13d + rorl $9,%r14d + xorl %edx,%edi + + movl %r12d,44(%rsp) + xorl %r9d,%r14d + andl %ebx,%edi + + rorl $5,%r13d + addl %r8d,%r12d + xorl %edx,%edi + + rorl $11,%r14d + xorl %ebx,%r13d + addl %edi,%r12d + + movl %r9d,%edi + addl (%rbp),%r12d + xorl %r9d,%r14d + + xorl %r10d,%edi + rorl $6,%r13d + movl %r10d,%r8d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r8d + addl %r12d,%eax + addl %r12d,%r8d + + leaq 20(%rbp),%rbp + movl 52(%rsp),%r13d + movl 40(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r8d + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 20(%rsp),%r12d + + addl 48(%rsp),%r12d + movl %eax,%r13d + addl %r15d,%r12d + movl %r8d,%r14d + rorl $14,%r13d + movl %ebx,%r15d + + xorl %eax,%r13d + rorl $9,%r14d + xorl %ecx,%r15d + + movl %r12d,48(%rsp) + xorl %r8d,%r14d + andl %eax,%r15d + + rorl $5,%r13d + addl %edx,%r12d + xorl %ecx,%r15d + + rorl $11,%r14d + xorl %eax,%r13d + addl %r15d,%r12d + + movl %r8d,%r15d + addl (%rbp),%r12d + xorl %r8d,%r14d + + xorl %r9d,%r15d + rorl $6,%r13d + movl %r9d,%edx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%edx + addl %r12d,%r11d + addl %r12d,%edx + + leaq 4(%rbp),%rbp + movl 56(%rsp),%r13d + movl 44(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%edx + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 24(%rsp),%r12d + + addl 52(%rsp),%r12d + movl %r11d,%r13d + addl %edi,%r12d + movl %edx,%r14d + rorl $14,%r13d + movl %eax,%edi + + xorl %r11d,%r13d + rorl $9,%r14d + xorl %ebx,%edi + + movl %r12d,52(%rsp) + xorl %edx,%r14d + andl %r11d,%edi + + rorl $5,%r13d + addl %ecx,%r12d + xorl %ebx,%edi + + rorl $11,%r14d + xorl %r11d,%r13d + addl %edi,%r12d + + movl %edx,%edi + addl (%rbp),%r12d + xorl %edx,%r14d + + xorl %r8d,%edi + rorl $6,%r13d + movl %r8d,%ecx + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%ecx + addl %r12d,%r10d + addl %r12d,%ecx + + leaq 4(%rbp),%rbp + movl 60(%rsp),%r13d + movl 48(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%ecx + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 28(%rsp),%r12d + + addl 56(%rsp),%r12d + movl %r10d,%r13d + addl %r15d,%r12d + movl %ecx,%r14d + rorl $14,%r13d + movl %r11d,%r15d + + xorl %r10d,%r13d + rorl $9,%r14d + xorl %eax,%r15d + + movl %r12d,56(%rsp) + xorl %ecx,%r14d + andl %r10d,%r15d + + rorl $5,%r13d + addl %ebx,%r12d + xorl %eax,%r15d + + rorl $11,%r14d + xorl %r10d,%r13d + addl %r15d,%r12d + + movl %ecx,%r15d + addl (%rbp),%r12d + xorl %ecx,%r14d + + xorl %edx,%r15d + rorl $6,%r13d + movl %edx,%ebx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%ebx + addl %r12d,%r9d + addl %r12d,%ebx + + leaq 4(%rbp),%rbp + movl 0(%rsp),%r13d + movl 52(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%ebx + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 32(%rsp),%r12d + + addl 60(%rsp),%r12d + movl %r9d,%r13d + addl %edi,%r12d + movl %ebx,%r14d + rorl $14,%r13d + movl %r10d,%edi + + xorl %r9d,%r13d + rorl $9,%r14d + xorl %r11d,%edi + + movl %r12d,60(%rsp) + xorl %ebx,%r14d + andl %r9d,%edi + + rorl $5,%r13d + addl %eax,%r12d + xorl %r11d,%edi + + rorl $11,%r14d + xorl %r9d,%r13d + addl %edi,%r12d + + movl %ebx,%edi + addl (%rbp),%r12d + xorl %ebx,%r14d + + xorl %ecx,%edi + rorl $6,%r13d + movl %ecx,%eax + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%eax + addl %r12d,%r8d + addl %r12d,%eax + + leaq 20(%rbp),%rbp + cmpb $0,3(%rbp) + jnz L$rounds_16_xx + + movq 64+0(%rsp),%rdi + addl %r14d,%eax + leaq 64(%rsi),%rsi + + addl 0(%rdi),%eax + addl 4(%rdi),%ebx + addl 8(%rdi),%ecx + addl 12(%rdi),%edx + addl 16(%rdi),%r8d + addl 20(%rdi),%r9d + addl 24(%rdi),%r10d + addl 28(%rdi),%r11d + + cmpq 64+16(%rsp),%rsi + + movl %eax,0(%rdi) + movl %ebx,4(%rdi) + movl %ecx,8(%rdi) + movl %edx,12(%rdi) + movl %r8d,16(%rdi) + movl %r9d,20(%rdi) + movl %r10d,24(%rdi) + movl %r11d,28(%rdi) + jb L$loop + + leaq 64+24+48(%rsp),%r11 +.cfi_def_cfa %r11,8 + movq 64+24(%rsp),%r15 + movq -40(%r11),%r14 + movq -32(%r11),%r13 + movq -24(%r11),%r12 + movq -16(%r11),%rbx + movq -8(%r11),%rbp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbp +.cfi_restore %rbx + leaq (%r11),%rsp + .byte 0xf3,0xc3 +.cfi_endproc + +.p2align 6 + +K256: +.long 0x428a2f98,0x71374491,0xb5c0fbcf,0xe9b5dba5 +.long 0x428a2f98,0x71374491,0xb5c0fbcf,0xe9b5dba5 +.long 0x3956c25b,0x59f111f1,0x923f82a4,0xab1c5ed5 +.long 0x3956c25b,0x59f111f1,0x923f82a4,0xab1c5ed5 +.long 0xd807aa98,0x12835b01,0x243185be,0x550c7dc3 +.long 0xd807aa98,0x12835b01,0x243185be,0x550c7dc3 +.long 0x72be5d74,0x80deb1fe,0x9bdc06a7,0xc19bf174 +.long 0x72be5d74,0x80deb1fe,0x9bdc06a7,0xc19bf174 +.long 0xe49b69c1,0xefbe4786,0x0fc19dc6,0x240ca1cc +.long 0xe49b69c1,0xefbe4786,0x0fc19dc6,0x240ca1cc +.long 0x2de92c6f,0x4a7484aa,0x5cb0a9dc,0x76f988da +.long 0x2de92c6f,0x4a7484aa,0x5cb0a9dc,0x76f988da +.long 0x983e5152,0xa831c66d,0xb00327c8,0xbf597fc7 +.long 0x983e5152,0xa831c66d,0xb00327c8,0xbf597fc7 +.long 0xc6e00bf3,0xd5a79147,0x06ca6351,0x14292967 +.long 0xc6e00bf3,0xd5a79147,0x06ca6351,0x14292967 +.long 0x27b70a85,0x2e1b2138,0x4d2c6dfc,0x53380d13 +.long 0x27b70a85,0x2e1b2138,0x4d2c6dfc,0x53380d13 +.long 0x650a7354,0x766a0abb,0x81c2c92e,0x92722c85 +.long 0x650a7354,0x766a0abb,0x81c2c92e,0x92722c85 +.long 0xa2bfe8a1,0xa81a664b,0xc24b8b70,0xc76c51a3 +.long 0xa2bfe8a1,0xa81a664b,0xc24b8b70,0xc76c51a3 +.long 0xd192e819,0xd6990624,0xf40e3585,0x106aa070 +.long 0xd192e819,0xd6990624,0xf40e3585,0x106aa070 +.long 0x19a4c116,0x1e376c08,0x2748774c,0x34b0bcb5 +.long 0x19a4c116,0x1e376c08,0x2748774c,0x34b0bcb5 +.long 0x391c0cb3,0x4ed8aa4a,0x5b9cca4f,0x682e6ff3 +.long 0x391c0cb3,0x4ed8aa4a,0x5b9cca4f,0x682e6ff3 +.long 0x748f82ee,0x78a5636f,0x84c87814,0x8cc70208 +.long 0x748f82ee,0x78a5636f,0x84c87814,0x8cc70208 +.long 0x90befffa,0xa4506ceb,0xbef9a3f7,0xc67178f2 +.long 0x90befffa,0xa4506ceb,0xbef9a3f7,0xc67178f2 + +.long 0x00010203,0x04050607,0x08090a0b,0x0c0d0e0f +.long 0x00010203,0x04050607,0x08090a0b,0x0c0d0e0f +.long 0x03020100,0x0b0a0908,0xffffffff,0xffffffff +.long 0x03020100,0x0b0a0908,0xffffffff,0xffffffff +.long 0xffffffff,0xffffffff,0x03020100,0x0b0a0908 +.long 0xffffffff,0xffffffff,0x03020100,0x0b0a0908 +.byte 83,72,65,50,53,54,32,98,108,111,99,107,32,116,114,97,110,115,102,111,114,109,32,102,111,114,32,120,56,54,95,54,52,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 + +.p2align 6 +crypton_sha256_asm_block_data_order_shaext: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp +L$shaext_shortcut: + + leaq K256+128(%rip),%rcx + movdqu (%rdi),%xmm1 + movdqu 16(%rdi),%xmm2 + movdqa 512-128(%rcx),%xmm7 + + pshufd $0x1b,%xmm1,%xmm0 + pshufd $0xb1,%xmm1,%xmm1 + pshufd $0x1b,%xmm2,%xmm2 + movdqa %xmm7,%xmm8 +.byte 102,15,58,15,202,8 + punpcklqdq %xmm0,%xmm2 + jmp L$oop_shaext + +.p2align 4 +L$oop_shaext: + movdqu (%rsi),%xmm3 + movdqu 16(%rsi),%xmm4 + movdqu 32(%rsi),%xmm5 +.byte 102,15,56,0,223 + movdqu 48(%rsi),%xmm6 + + movdqa 0-128(%rcx),%xmm0 + paddd %xmm3,%xmm0 +.byte 102,15,56,0,231 + movdqa %xmm2,%xmm10 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + nop + movdqa %xmm1,%xmm9 +.byte 15,56,203,202 + + movdqa 32-128(%rcx),%xmm0 + paddd %xmm4,%xmm0 +.byte 102,15,56,0,239 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + leaq 64(%rsi),%rsi +.byte 15,56,204,220 +.byte 15,56,203,202 + + movdqa 64-128(%rcx),%xmm0 + paddd %xmm5,%xmm0 +.byte 102,15,56,0,247 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm6,%xmm7 +.byte 102,15,58,15,253,4 + nop + paddd %xmm7,%xmm3 +.byte 15,56,204,229 +.byte 15,56,203,202 + + movdqa 96-128(%rcx),%xmm0 + paddd %xmm6,%xmm0 +.byte 15,56,205,222 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm3,%xmm7 +.byte 102,15,58,15,254,4 + nop + paddd %xmm7,%xmm4 +.byte 15,56,204,238 +.byte 15,56,203,202 + movdqa 128-128(%rcx),%xmm0 + paddd %xmm3,%xmm0 +.byte 15,56,205,227 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm4,%xmm7 +.byte 102,15,58,15,251,4 + nop + paddd %xmm7,%xmm5 +.byte 15,56,204,243 +.byte 15,56,203,202 + movdqa 160-128(%rcx),%xmm0 + paddd %xmm4,%xmm0 +.byte 15,56,205,236 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm5,%xmm7 +.byte 102,15,58,15,252,4 + nop + paddd %xmm7,%xmm6 +.byte 15,56,204,220 +.byte 15,56,203,202 + movdqa 192-128(%rcx),%xmm0 + paddd %xmm5,%xmm0 +.byte 15,56,205,245 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm6,%xmm7 +.byte 102,15,58,15,253,4 + nop + paddd %xmm7,%xmm3 +.byte 15,56,204,229 +.byte 15,56,203,202 + movdqa 224-128(%rcx),%xmm0 + paddd %xmm6,%xmm0 +.byte 15,56,205,222 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm3,%xmm7 +.byte 102,15,58,15,254,4 + nop + paddd %xmm7,%xmm4 +.byte 15,56,204,238 +.byte 15,56,203,202 + movdqa 256-128(%rcx),%xmm0 + paddd %xmm3,%xmm0 +.byte 15,56,205,227 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm4,%xmm7 +.byte 102,15,58,15,251,4 + nop + paddd %xmm7,%xmm5 +.byte 15,56,204,243 +.byte 15,56,203,202 + movdqa 288-128(%rcx),%xmm0 + paddd %xmm4,%xmm0 +.byte 15,56,205,236 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm5,%xmm7 +.byte 102,15,58,15,252,4 + nop + paddd %xmm7,%xmm6 +.byte 15,56,204,220 +.byte 15,56,203,202 + movdqa 320-128(%rcx),%xmm0 + paddd %xmm5,%xmm0 +.byte 15,56,205,245 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm6,%xmm7 +.byte 102,15,58,15,253,4 + nop + paddd %xmm7,%xmm3 +.byte 15,56,204,229 +.byte 15,56,203,202 + movdqa 352-128(%rcx),%xmm0 + paddd %xmm6,%xmm0 +.byte 15,56,205,222 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm3,%xmm7 +.byte 102,15,58,15,254,4 + nop + paddd %xmm7,%xmm4 +.byte 15,56,204,238 +.byte 15,56,203,202 + movdqa 384-128(%rcx),%xmm0 + paddd %xmm3,%xmm0 +.byte 15,56,205,227 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm4,%xmm7 +.byte 102,15,58,15,251,4 + nop + paddd %xmm7,%xmm5 +.byte 15,56,204,243 +.byte 15,56,203,202 + movdqa 416-128(%rcx),%xmm0 + paddd %xmm4,%xmm0 +.byte 15,56,205,236 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm5,%xmm7 +.byte 102,15,58,15,252,4 +.byte 15,56,203,202 + paddd %xmm7,%xmm6 + + movdqa 448-128(%rcx),%xmm0 + paddd %xmm5,%xmm0 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 +.byte 15,56,205,245 + movdqa %xmm8,%xmm7 +.byte 15,56,203,202 + + movdqa 480-128(%rcx),%xmm0 + paddd %xmm6,%xmm0 + nop +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + decq %rdx + nop +.byte 15,56,203,202 + + paddd %xmm10,%xmm2 + paddd %xmm9,%xmm1 + jnz L$oop_shaext + + pshufd $0xb1,%xmm2,%xmm2 + pshufd $0x1b,%xmm1,%xmm7 + pshufd $0xb1,%xmm1,%xmm1 + punpckhqdq %xmm2,%xmm1 +.byte 102,15,58,15,215,8 + + movdqu %xmm1,(%rdi) + movdqu %xmm2,16(%rdi) +.cfi_def_cfa_register %rsp + popq %rbp +.cfi_adjust_cfa_offset -8 +.cfi_restore %rbp + + .byte 0xf3,0xc3 +.cfi_endproc + + +.p2align 6 +crypton_sha256_asm_block_data_order_ssse3: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp +L$ssse3_shortcut: + pushq %rbx +.cfi_offset %rbx,-24 + pushq %r12 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_offset %r15,-56 + shlq $4,%rdx + subq $24,%rsp + + leaq (%rsi,%rdx,4),%rdx + movq %rdi,-64(%rbp) + + movq %rdx,-48(%rbp) + + + leaq -64(%rsp),%rsp + movl 0(%rdi),%eax + andq $-64,%rsp + movl 4(%rdi),%ebx + movl 8(%rdi),%ecx + movl 12(%rdi),%edx + movl 16(%rdi),%r8d + movl 20(%rdi),%r9d + movl 24(%rdi),%r10d + movl 28(%rdi),%r11d + + + jmp L$loop_ssse3 +.p2align 4 +L$loop_ssse3: + movdqa K256+512(%rip),%xmm7 + movq %rsi,-56(%rbp) + movdqu 0(%rsi),%xmm0 + movdqu 16(%rsi),%xmm1 + movdqu 32(%rsi),%xmm2 +.byte 102,15,56,0,199 + movdqu 48(%rsi),%xmm3 + leaq K256(%rip),%rsi +.byte 102,15,56,0,207 + movdqa 0(%rsi),%xmm4 + movdqa 32(%rsi),%xmm5 +.byte 102,15,56,0,215 + paddd %xmm0,%xmm4 + movdqa 64(%rsi),%xmm6 +.byte 102,15,56,0,223 + movdqa 96(%rsi),%xmm7 + paddd %xmm1,%xmm5 + paddd %xmm2,%xmm6 + paddd %xmm3,%xmm7 + movdqa %xmm4,0(%rsp) + movl %eax,%r14d + movdqa %xmm5,16(%rsp) + movl %ebx,%edi + movdqa %xmm6,32(%rsp) + xorl %ecx,%edi + movdqa %xmm7,48(%rsp) + movl %r8d,%r13d + jmp L$ssse3_00_47 + +.p2align 4 +L$ssse3_00_47: + subq $-128,%rsi + rorl $14,%r13d + movdqa %xmm1,%xmm4 + movl %r14d,%eax + movl %r9d,%r12d + movdqa %xmm3,%xmm7 + rorl $9,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + rorl $5,%r13d + xorl %eax,%r14d +.byte 102,15,58,15,224,4 + andl %r8d,%r12d + xorl %r8d,%r13d +.byte 102,15,58,15,250,4 + addl 0(%rsp),%r11d + movl %eax,%r15d + xorl %r10d,%r12d + rorl $11,%r14d + movdqa %xmm4,%xmm5 + xorl %ebx,%r15d + addl %r12d,%r11d + movdqa %xmm4,%xmm6 + rorl $6,%r13d + andl %r15d,%edi + psrld $3,%xmm4 + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + paddd %xmm7,%xmm0 + rorl $2,%r14d + addl %r11d,%edx + psrld $7,%xmm6 + addl %edi,%r11d + movl %edx,%r13d + pshufd $250,%xmm3,%xmm7 + addl %r11d,%r14d + rorl $14,%r13d + pslld $14,%xmm5 + movl %r14d,%r11d + movl %r8d,%r12d + pxor %xmm6,%xmm4 + rorl $9,%r14d + xorl %edx,%r13d + xorl %r9d,%r12d + rorl $5,%r13d + psrld $11,%xmm6 + xorl %r11d,%r14d + pxor %xmm5,%xmm4 + andl %edx,%r12d + xorl %edx,%r13d + pslld $11,%xmm5 + addl 4(%rsp),%r10d + movl %r11d,%edi + pxor %xmm6,%xmm4 + xorl %r9d,%r12d + rorl $11,%r14d + movdqa %xmm7,%xmm6 + xorl %eax,%edi + addl %r12d,%r10d + pxor %xmm5,%xmm4 + rorl $6,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + psrld $10,%xmm7 + addl %r13d,%r10d + xorl %eax,%r15d + paddd %xmm4,%xmm0 + rorl $2,%r14d + addl %r10d,%ecx + psrlq $17,%xmm6 + addl %r15d,%r10d + movl %ecx,%r13d + addl %r10d,%r14d + pxor %xmm6,%xmm7 + rorl $14,%r13d + movl %r14d,%r10d + movl %edx,%r12d + rorl $9,%r14d + psrlq $2,%xmm6 + xorl %ecx,%r13d + xorl %r8d,%r12d + pxor %xmm6,%xmm7 + rorl $5,%r13d + xorl %r10d,%r14d + andl %ecx,%r12d + pshufd $128,%xmm7,%xmm7 + xorl %ecx,%r13d + addl 8(%rsp),%r9d + movl %r10d,%r15d + psrldq $8,%xmm7 + xorl %r8d,%r12d + rorl $11,%r14d + xorl %r11d,%r15d + addl %r12d,%r9d + rorl $6,%r13d + paddd %xmm7,%xmm0 + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + pshufd $80,%xmm0,%xmm7 + xorl %r11d,%edi + rorl $2,%r14d + addl %r9d,%ebx + movdqa %xmm7,%xmm6 + addl %edi,%r9d + movl %ebx,%r13d + psrld $10,%xmm7 + addl %r9d,%r14d + rorl $14,%r13d + psrlq $17,%xmm6 + movl %r14d,%r9d + movl %ecx,%r12d + pxor %xmm6,%xmm7 + rorl $9,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + rorl $5,%r13d + xorl %r9d,%r14d + psrlq $2,%xmm6 + andl %ebx,%r12d + xorl %ebx,%r13d + addl 12(%rsp),%r8d + pxor %xmm6,%xmm7 + movl %r9d,%edi + xorl %edx,%r12d + rorl $11,%r14d + pshufd $8,%xmm7,%xmm7 + xorl %r10d,%edi + addl %r12d,%r8d + movdqa 0(%rsi),%xmm6 + rorl $6,%r13d + andl %edi,%r15d + pslldq $8,%xmm7 + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + paddd %xmm7,%xmm0 + rorl $2,%r14d + addl %r8d,%eax + addl %r15d,%r8d + paddd %xmm0,%xmm6 + movl %eax,%r13d + addl %r8d,%r14d + movdqa %xmm6,0(%rsp) + rorl $14,%r13d + movdqa %xmm2,%xmm4 + movl %r14d,%r8d + movl %ebx,%r12d + movdqa %xmm0,%xmm7 + rorl $9,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + rorl $5,%r13d + xorl %r8d,%r14d +.byte 102,15,58,15,225,4 + andl %eax,%r12d + xorl %eax,%r13d +.byte 102,15,58,15,251,4 + addl 16(%rsp),%edx + movl %r8d,%r15d + xorl %ecx,%r12d + rorl $11,%r14d + movdqa %xmm4,%xmm5 + xorl %r9d,%r15d + addl %r12d,%edx + movdqa %xmm4,%xmm6 + rorl $6,%r13d + andl %r15d,%edi + psrld $3,%xmm4 + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + paddd %xmm7,%xmm1 + rorl $2,%r14d + addl %edx,%r11d + psrld $7,%xmm6 + addl %edi,%edx + movl %r11d,%r13d + pshufd $250,%xmm0,%xmm7 + addl %edx,%r14d + rorl $14,%r13d + pslld $14,%xmm5 + movl %r14d,%edx + movl %eax,%r12d + pxor %xmm6,%xmm4 + rorl $9,%r14d + xorl %r11d,%r13d + xorl %ebx,%r12d + rorl $5,%r13d + psrld $11,%xmm6 + xorl %edx,%r14d + pxor %xmm5,%xmm4 + andl %r11d,%r12d + xorl %r11d,%r13d + pslld $11,%xmm5 + addl 20(%rsp),%ecx + movl %edx,%edi + pxor %xmm6,%xmm4 + xorl %ebx,%r12d + rorl $11,%r14d + movdqa %xmm7,%xmm6 + xorl %r8d,%edi + addl %r12d,%ecx + pxor %xmm5,%xmm4 + rorl $6,%r13d + andl %edi,%r15d + xorl %edx,%r14d + psrld $10,%xmm7 + addl %r13d,%ecx + xorl %r8d,%r15d + paddd %xmm4,%xmm1 + rorl $2,%r14d + addl %ecx,%r10d + psrlq $17,%xmm6 + addl %r15d,%ecx + movl %r10d,%r13d + addl %ecx,%r14d + pxor %xmm6,%xmm7 + rorl $14,%r13d + movl %r14d,%ecx + movl %r11d,%r12d + rorl $9,%r14d + psrlq $2,%xmm6 + xorl %r10d,%r13d + xorl %eax,%r12d + pxor %xmm6,%xmm7 + rorl $5,%r13d + xorl %ecx,%r14d + andl %r10d,%r12d + pshufd $128,%xmm7,%xmm7 + xorl %r10d,%r13d + addl 24(%rsp),%ebx + movl %ecx,%r15d + psrldq $8,%xmm7 + xorl %eax,%r12d + rorl $11,%r14d + xorl %edx,%r15d + addl %r12d,%ebx + rorl $6,%r13d + paddd %xmm7,%xmm1 + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + pshufd $80,%xmm1,%xmm7 + xorl %edx,%edi + rorl $2,%r14d + addl %ebx,%r9d + movdqa %xmm7,%xmm6 + addl %edi,%ebx + movl %r9d,%r13d + psrld $10,%xmm7 + addl %ebx,%r14d + rorl $14,%r13d + psrlq $17,%xmm6 + movl %r14d,%ebx + movl %r10d,%r12d + pxor %xmm6,%xmm7 + rorl $9,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + rorl $5,%r13d + xorl %ebx,%r14d + psrlq $2,%xmm6 + andl %r9d,%r12d + xorl %r9d,%r13d + addl 28(%rsp),%eax + pxor %xmm6,%xmm7 + movl %ebx,%edi + xorl %r11d,%r12d + rorl $11,%r14d + pshufd $8,%xmm7,%xmm7 + xorl %ecx,%edi + addl %r12d,%eax + movdqa 32(%rsi),%xmm6 + rorl $6,%r13d + andl %edi,%r15d + pslldq $8,%xmm7 + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + paddd %xmm7,%xmm1 + rorl $2,%r14d + addl %eax,%r8d + addl %r15d,%eax + paddd %xmm1,%xmm6 + movl %r8d,%r13d + addl %eax,%r14d + movdqa %xmm6,16(%rsp) + rorl $14,%r13d + movdqa %xmm3,%xmm4 + movl %r14d,%eax + movl %r9d,%r12d + movdqa %xmm1,%xmm7 + rorl $9,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + rorl $5,%r13d + xorl %eax,%r14d +.byte 102,15,58,15,226,4 + andl %r8d,%r12d + xorl %r8d,%r13d +.byte 102,15,58,15,248,4 + addl 32(%rsp),%r11d + movl %eax,%r15d + xorl %r10d,%r12d + rorl $11,%r14d + movdqa %xmm4,%xmm5 + xorl %ebx,%r15d + addl %r12d,%r11d + movdqa %xmm4,%xmm6 + rorl $6,%r13d + andl %r15d,%edi + psrld $3,%xmm4 + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + paddd %xmm7,%xmm2 + rorl $2,%r14d + addl %r11d,%edx + psrld $7,%xmm6 + addl %edi,%r11d + movl %edx,%r13d + pshufd $250,%xmm1,%xmm7 + addl %r11d,%r14d + rorl $14,%r13d + pslld $14,%xmm5 + movl %r14d,%r11d + movl %r8d,%r12d + pxor %xmm6,%xmm4 + rorl $9,%r14d + xorl %edx,%r13d + xorl %r9d,%r12d + rorl $5,%r13d + psrld $11,%xmm6 + xorl %r11d,%r14d + pxor %xmm5,%xmm4 + andl %edx,%r12d + xorl %edx,%r13d + pslld $11,%xmm5 + addl 36(%rsp),%r10d + movl %r11d,%edi + pxor %xmm6,%xmm4 + xorl %r9d,%r12d + rorl $11,%r14d + movdqa %xmm7,%xmm6 + xorl %eax,%edi + addl %r12d,%r10d + pxor %xmm5,%xmm4 + rorl $6,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + psrld $10,%xmm7 + addl %r13d,%r10d + xorl %eax,%r15d + paddd %xmm4,%xmm2 + rorl $2,%r14d + addl %r10d,%ecx + psrlq $17,%xmm6 + addl %r15d,%r10d + movl %ecx,%r13d + addl %r10d,%r14d + pxor %xmm6,%xmm7 + rorl $14,%r13d + movl %r14d,%r10d + movl %edx,%r12d + rorl $9,%r14d + psrlq $2,%xmm6 + xorl %ecx,%r13d + xorl %r8d,%r12d + pxor %xmm6,%xmm7 + rorl $5,%r13d + xorl %r10d,%r14d + andl %ecx,%r12d + pshufd $128,%xmm7,%xmm7 + xorl %ecx,%r13d + addl 40(%rsp),%r9d + movl %r10d,%r15d + psrldq $8,%xmm7 + xorl %r8d,%r12d + rorl $11,%r14d + xorl %r11d,%r15d + addl %r12d,%r9d + rorl $6,%r13d + paddd %xmm7,%xmm2 + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + pshufd $80,%xmm2,%xmm7 + xorl %r11d,%edi + rorl $2,%r14d + addl %r9d,%ebx + movdqa %xmm7,%xmm6 + addl %edi,%r9d + movl %ebx,%r13d + psrld $10,%xmm7 + addl %r9d,%r14d + rorl $14,%r13d + psrlq $17,%xmm6 + movl %r14d,%r9d + movl %ecx,%r12d + pxor %xmm6,%xmm7 + rorl $9,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + rorl $5,%r13d + xorl %r9d,%r14d + psrlq $2,%xmm6 + andl %ebx,%r12d + xorl %ebx,%r13d + addl 44(%rsp),%r8d + pxor %xmm6,%xmm7 + movl %r9d,%edi + xorl %edx,%r12d + rorl $11,%r14d + pshufd $8,%xmm7,%xmm7 + xorl %r10d,%edi + addl %r12d,%r8d + movdqa 64(%rsi),%xmm6 + rorl $6,%r13d + andl %edi,%r15d + pslldq $8,%xmm7 + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + paddd %xmm7,%xmm2 + rorl $2,%r14d + addl %r8d,%eax + addl %r15d,%r8d + paddd %xmm2,%xmm6 + movl %eax,%r13d + addl %r8d,%r14d + movdqa %xmm6,32(%rsp) + rorl $14,%r13d + movdqa %xmm0,%xmm4 + movl %r14d,%r8d + movl %ebx,%r12d + movdqa %xmm2,%xmm7 + rorl $9,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + rorl $5,%r13d + xorl %r8d,%r14d +.byte 102,15,58,15,227,4 + andl %eax,%r12d + xorl %eax,%r13d +.byte 102,15,58,15,249,4 + addl 48(%rsp),%edx + movl %r8d,%r15d + xorl %ecx,%r12d + rorl $11,%r14d + movdqa %xmm4,%xmm5 + xorl %r9d,%r15d + addl %r12d,%edx + movdqa %xmm4,%xmm6 + rorl $6,%r13d + andl %r15d,%edi + psrld $3,%xmm4 + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + paddd %xmm7,%xmm3 + rorl $2,%r14d + addl %edx,%r11d + psrld $7,%xmm6 + addl %edi,%edx + movl %r11d,%r13d + pshufd $250,%xmm2,%xmm7 + addl %edx,%r14d + rorl $14,%r13d + pslld $14,%xmm5 + movl %r14d,%edx + movl %eax,%r12d + pxor %xmm6,%xmm4 + rorl $9,%r14d + xorl %r11d,%r13d + xorl %ebx,%r12d + rorl $5,%r13d + psrld $11,%xmm6 + xorl %edx,%r14d + pxor %xmm5,%xmm4 + andl %r11d,%r12d + xorl %r11d,%r13d + pslld $11,%xmm5 + addl 52(%rsp),%ecx + movl %edx,%edi + pxor %xmm6,%xmm4 + xorl %ebx,%r12d + rorl $11,%r14d + movdqa %xmm7,%xmm6 + xorl %r8d,%edi + addl %r12d,%ecx + pxor %xmm5,%xmm4 + rorl $6,%r13d + andl %edi,%r15d + xorl %edx,%r14d + psrld $10,%xmm7 + addl %r13d,%ecx + xorl %r8d,%r15d + paddd %xmm4,%xmm3 + rorl $2,%r14d + addl %ecx,%r10d + psrlq $17,%xmm6 + addl %r15d,%ecx + movl %r10d,%r13d + addl %ecx,%r14d + pxor %xmm6,%xmm7 + rorl $14,%r13d + movl %r14d,%ecx + movl %r11d,%r12d + rorl $9,%r14d + psrlq $2,%xmm6 + xorl %r10d,%r13d + xorl %eax,%r12d + pxor %xmm6,%xmm7 + rorl $5,%r13d + xorl %ecx,%r14d + andl %r10d,%r12d + pshufd $128,%xmm7,%xmm7 + xorl %r10d,%r13d + addl 56(%rsp),%ebx + movl %ecx,%r15d + psrldq $8,%xmm7 + xorl %eax,%r12d + rorl $11,%r14d + xorl %edx,%r15d + addl %r12d,%ebx + rorl $6,%r13d + paddd %xmm7,%xmm3 + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + pshufd $80,%xmm3,%xmm7 + xorl %edx,%edi + rorl $2,%r14d + addl %ebx,%r9d + movdqa %xmm7,%xmm6 + addl %edi,%ebx + movl %r9d,%r13d + psrld $10,%xmm7 + addl %ebx,%r14d + rorl $14,%r13d + psrlq $17,%xmm6 + movl %r14d,%ebx + movl %r10d,%r12d + pxor %xmm6,%xmm7 + rorl $9,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + rorl $5,%r13d + xorl %ebx,%r14d + psrlq $2,%xmm6 + andl %r9d,%r12d + xorl %r9d,%r13d + addl 60(%rsp),%eax + pxor %xmm6,%xmm7 + movl %ebx,%edi + xorl %r11d,%r12d + rorl $11,%r14d + pshufd $8,%xmm7,%xmm7 + xorl %ecx,%edi + addl %r12d,%eax + movdqa 96(%rsi),%xmm6 + rorl $6,%r13d + andl %edi,%r15d + pslldq $8,%xmm7 + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + paddd %xmm7,%xmm3 + rorl $2,%r14d + addl %eax,%r8d + addl %r15d,%eax + paddd %xmm3,%xmm6 + movl %r8d,%r13d + addl %eax,%r14d + movdqa %xmm6,48(%rsp) + cmpb $0,131(%rsi) + jne L$ssse3_00_47 + rorl $14,%r13d + movl %r14d,%eax + movl %r9d,%r12d + rorl $9,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + rorl $5,%r13d + xorl %eax,%r14d + andl %r8d,%r12d + xorl %r8d,%r13d + addl 0(%rsp),%r11d + movl %eax,%r15d + xorl %r10d,%r12d + rorl $11,%r14d + xorl %ebx,%r15d + addl %r12d,%r11d + rorl $6,%r13d + andl %r15d,%edi + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + rorl $2,%r14d + addl %r11d,%edx + addl %edi,%r11d + movl %edx,%r13d + addl %r11d,%r14d + rorl $14,%r13d + movl %r14d,%r11d + movl %r8d,%r12d + rorl $9,%r14d + xorl %edx,%r13d + xorl %r9d,%r12d + rorl $5,%r13d + xorl %r11d,%r14d + andl %edx,%r12d + xorl %edx,%r13d + addl 4(%rsp),%r10d + movl %r11d,%edi + xorl %r9d,%r12d + rorl $11,%r14d + xorl %eax,%edi + addl %r12d,%r10d + rorl $6,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + addl %r13d,%r10d + xorl %eax,%r15d + rorl $2,%r14d + addl %r10d,%ecx + addl %r15d,%r10d + movl %ecx,%r13d + addl %r10d,%r14d + rorl $14,%r13d + movl %r14d,%r10d + movl %edx,%r12d + rorl $9,%r14d + xorl %ecx,%r13d + xorl %r8d,%r12d + rorl $5,%r13d + xorl %r10d,%r14d + andl %ecx,%r12d + xorl %ecx,%r13d + addl 8(%rsp),%r9d + movl %r10d,%r15d + xorl %r8d,%r12d + rorl $11,%r14d + xorl %r11d,%r15d + addl %r12d,%r9d + rorl $6,%r13d + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + xorl %r11d,%edi + rorl $2,%r14d + addl %r9d,%ebx + addl %edi,%r9d + movl %ebx,%r13d + addl %r9d,%r14d + rorl $14,%r13d + movl %r14d,%r9d + movl %ecx,%r12d + rorl $9,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + rorl $5,%r13d + xorl %r9d,%r14d + andl %ebx,%r12d + xorl %ebx,%r13d + addl 12(%rsp),%r8d + movl %r9d,%edi + xorl %edx,%r12d + rorl $11,%r14d + xorl %r10d,%edi + addl %r12d,%r8d + rorl $6,%r13d + andl %edi,%r15d + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + rorl $2,%r14d + addl %r8d,%eax + addl %r15d,%r8d + movl %eax,%r13d + addl %r8d,%r14d + rorl $14,%r13d + movl %r14d,%r8d + movl %ebx,%r12d + rorl $9,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + rorl $5,%r13d + xorl %r8d,%r14d + andl %eax,%r12d + xorl %eax,%r13d + addl 16(%rsp),%edx + movl %r8d,%r15d + xorl %ecx,%r12d + rorl $11,%r14d + xorl %r9d,%r15d + addl %r12d,%edx + rorl $6,%r13d + andl %r15d,%edi + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + rorl $2,%r14d + addl %edx,%r11d + addl %edi,%edx + movl %r11d,%r13d + addl %edx,%r14d + rorl $14,%r13d + movl %r14d,%edx + movl %eax,%r12d + rorl $9,%r14d + xorl %r11d,%r13d + xorl %ebx,%r12d + rorl $5,%r13d + xorl %edx,%r14d + andl %r11d,%r12d + xorl %r11d,%r13d + addl 20(%rsp),%ecx + movl %edx,%edi + xorl %ebx,%r12d + rorl $11,%r14d + xorl %r8d,%edi + addl %r12d,%ecx + rorl $6,%r13d + andl %edi,%r15d + xorl %edx,%r14d + addl %r13d,%ecx + xorl %r8d,%r15d + rorl $2,%r14d + addl %ecx,%r10d + addl %r15d,%ecx + movl %r10d,%r13d + addl %ecx,%r14d + rorl $14,%r13d + movl %r14d,%ecx + movl %r11d,%r12d + rorl $9,%r14d + xorl %r10d,%r13d + xorl %eax,%r12d + rorl $5,%r13d + xorl %ecx,%r14d + andl %r10d,%r12d + xorl %r10d,%r13d + addl 24(%rsp),%ebx + movl %ecx,%r15d + xorl %eax,%r12d + rorl $11,%r14d + xorl %edx,%r15d + addl %r12d,%ebx + rorl $6,%r13d + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + xorl %edx,%edi + rorl $2,%r14d + addl %ebx,%r9d + addl %edi,%ebx + movl %r9d,%r13d + addl %ebx,%r14d + rorl $14,%r13d + movl %r14d,%ebx + movl %r10d,%r12d + rorl $9,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + rorl $5,%r13d + xorl %ebx,%r14d + andl %r9d,%r12d + xorl %r9d,%r13d + addl 28(%rsp),%eax + movl %ebx,%edi + xorl %r11d,%r12d + rorl $11,%r14d + xorl %ecx,%edi + addl %r12d,%eax + rorl $6,%r13d + andl %edi,%r15d + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + rorl $2,%r14d + addl %eax,%r8d + addl %r15d,%eax + movl %r8d,%r13d + addl %eax,%r14d + rorl $14,%r13d + movl %r14d,%eax + movl %r9d,%r12d + rorl $9,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + rorl $5,%r13d + xorl %eax,%r14d + andl %r8d,%r12d + xorl %r8d,%r13d + addl 32(%rsp),%r11d + movl %eax,%r15d + xorl %r10d,%r12d + rorl $11,%r14d + xorl %ebx,%r15d + addl %r12d,%r11d + rorl $6,%r13d + andl %r15d,%edi + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + rorl $2,%r14d + addl %r11d,%edx + addl %edi,%r11d + movl %edx,%r13d + addl %r11d,%r14d + rorl $14,%r13d + movl %r14d,%r11d + movl %r8d,%r12d + rorl $9,%r14d + xorl %edx,%r13d + xorl %r9d,%r12d + rorl $5,%r13d + xorl %r11d,%r14d + andl %edx,%r12d + xorl %edx,%r13d + addl 36(%rsp),%r10d + movl %r11d,%edi + xorl %r9d,%r12d + rorl $11,%r14d + xorl %eax,%edi + addl %r12d,%r10d + rorl $6,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + addl %r13d,%r10d + xorl %eax,%r15d + rorl $2,%r14d + addl %r10d,%ecx + addl %r15d,%r10d + movl %ecx,%r13d + addl %r10d,%r14d + rorl $14,%r13d + movl %r14d,%r10d + movl %edx,%r12d + rorl $9,%r14d + xorl %ecx,%r13d + xorl %r8d,%r12d + rorl $5,%r13d + xorl %r10d,%r14d + andl %ecx,%r12d + xorl %ecx,%r13d + addl 40(%rsp),%r9d + movl %r10d,%r15d + xorl %r8d,%r12d + rorl $11,%r14d + xorl %r11d,%r15d + addl %r12d,%r9d + rorl $6,%r13d + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + xorl %r11d,%edi + rorl $2,%r14d + addl %r9d,%ebx + addl %edi,%r9d + movl %ebx,%r13d + addl %r9d,%r14d + rorl $14,%r13d + movl %r14d,%r9d + movl %ecx,%r12d + rorl $9,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + rorl $5,%r13d + xorl %r9d,%r14d + andl %ebx,%r12d + xorl %ebx,%r13d + addl 44(%rsp),%r8d + movl %r9d,%edi + xorl %edx,%r12d + rorl $11,%r14d + xorl %r10d,%edi + addl %r12d,%r8d + rorl $6,%r13d + andl %edi,%r15d + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + rorl $2,%r14d + addl %r8d,%eax + addl %r15d,%r8d + movl %eax,%r13d + addl %r8d,%r14d + rorl $14,%r13d + movl %r14d,%r8d + movl %ebx,%r12d + rorl $9,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + rorl $5,%r13d + xorl %r8d,%r14d + andl %eax,%r12d + xorl %eax,%r13d + addl 48(%rsp),%edx + movl %r8d,%r15d + xorl %ecx,%r12d + rorl $11,%r14d + xorl %r9d,%r15d + addl %r12d,%edx + rorl $6,%r13d + andl %r15d,%edi + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + rorl $2,%r14d + addl %edx,%r11d + addl %edi,%edx + movl %r11d,%r13d + addl %edx,%r14d + rorl $14,%r13d + movl %r14d,%edx + movl %eax,%r12d + rorl $9,%r14d + xorl %r11d,%r13d + xorl %ebx,%r12d + rorl $5,%r13d + xorl %edx,%r14d + andl %r11d,%r12d + xorl %r11d,%r13d + addl 52(%rsp),%ecx + movl %edx,%edi + xorl %ebx,%r12d + rorl $11,%r14d + xorl %r8d,%edi + addl %r12d,%ecx + rorl $6,%r13d + andl %edi,%r15d + xorl %edx,%r14d + addl %r13d,%ecx + xorl %r8d,%r15d + rorl $2,%r14d + addl %ecx,%r10d + addl %r15d,%ecx + movl %r10d,%r13d + addl %ecx,%r14d + rorl $14,%r13d + movl %r14d,%ecx + movl %r11d,%r12d + rorl $9,%r14d + xorl %r10d,%r13d + xorl %eax,%r12d + rorl $5,%r13d + xorl %ecx,%r14d + andl %r10d,%r12d + xorl %r10d,%r13d + addl 56(%rsp),%ebx + movl %ecx,%r15d + xorl %eax,%r12d + rorl $11,%r14d + xorl %edx,%r15d + addl %r12d,%ebx + rorl $6,%r13d + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + xorl %edx,%edi + rorl $2,%r14d + addl %ebx,%r9d + addl %edi,%ebx + movl %r9d,%r13d + addl %ebx,%r14d + rorl $14,%r13d + movl %r14d,%ebx + movl %r10d,%r12d + rorl $9,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + rorl $5,%r13d + xorl %ebx,%r14d + andl %r9d,%r12d + xorl %r9d,%r13d + addl 60(%rsp),%eax + movl %ebx,%edi + xorl %r11d,%r12d + rorl $11,%r14d + xorl %ecx,%edi + addl %r12d,%eax + rorl $6,%r13d + andl %edi,%r15d + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + rorl $2,%r14d + addl %eax,%r8d + addl %r15d,%eax + movl %r8d,%r13d + addl %eax,%r14d + movq -64(%rbp),%rdi + movl %r14d,%eax + movq -56(%rbp),%rsi + + addl 0(%rdi),%eax + addl 4(%rdi),%ebx + addl 8(%rdi),%ecx + addl 12(%rdi),%edx + addl 16(%rdi),%r8d + addl 20(%rdi),%r9d + addl 24(%rdi),%r10d + addl 28(%rdi),%r11d + + leaq 64(%rsi),%rsi + cmpq -48(%rbp),%rsi + + movl %eax,0(%rdi) + movl %ebx,4(%rdi) + movl %ecx,8(%rdi) + movl %edx,12(%rdi) + movl %r8d,16(%rdi) + movl %r9d,20(%rdi) + movl %r10d,24(%rdi) + movl %r11d,28(%rdi) + jb L$loop_ssse3 + + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp +.cfi_def_cfa_register %rsp + popq %rbp +.cfi_adjust_cfa_offset -8 +.cfi_restore %rbp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbx + .byte 0xf3,0xc3 +.cfi_endproc + + +.p2align 6 +crypton_sha256_asm_block_data_order_avx: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp +L$avx_shortcut: + pushq %rbx +.cfi_offset %rbx,-24 + pushq %r12 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_offset %r15,-56 + shlq $4,%rdx + subq $24,%rsp + + leaq (%rsi,%rdx,4),%rdx + movq %rdi,-64(%rbp) + + movq %rdx,-48(%rbp) + + + leaq -64(%rsp),%rsp + vzeroupper + andq $-64,%rsp + movl 0(%rdi),%eax + movl 4(%rdi),%ebx + movl 8(%rdi),%ecx + movl 12(%rdi),%edx + movl 16(%rdi),%r8d + movl 20(%rdi),%r9d + movl 24(%rdi),%r10d + movl 28(%rdi),%r11d + vmovdqa K256+512+32(%rip),%xmm8 + vmovdqa K256+512+64(%rip),%xmm9 + jmp L$loop_avx +.p2align 4 +L$loop_avx: + vmovdqa K256+512(%rip),%xmm7 + movq %rsi,-56(%rbp) + vmovdqu 0(%rsi),%xmm0 + vmovdqu 16(%rsi),%xmm1 + vmovdqu 32(%rsi),%xmm2 + vmovdqu 48(%rsi),%xmm3 + vpshufb %xmm7,%xmm0,%xmm0 + leaq K256(%rip),%rsi + vpshufb %xmm7,%xmm1,%xmm1 + vpshufb %xmm7,%xmm2,%xmm2 + vpaddd 0(%rsi),%xmm0,%xmm4 + vpshufb %xmm7,%xmm3,%xmm3 + vpaddd 32(%rsi),%xmm1,%xmm5 + vpaddd 64(%rsi),%xmm2,%xmm6 + vpaddd 96(%rsi),%xmm3,%xmm7 + vmovdqa %xmm4,0(%rsp) + movl %eax,%r14d + vmovdqa %xmm5,16(%rsp) + movl %ebx,%edi + vmovdqa %xmm6,32(%rsp) + xorl %ecx,%edi + vmovdqa %xmm7,48(%rsp) + movl %r8d,%r13d + jmp L$avx_00_47 + +.p2align 4 +L$avx_00_47: + subq $-128,%rsi + vpalignr $4,%xmm0,%xmm1,%xmm4 + shrdl $14,%r13d,%r13d + movl %r14d,%eax + movl %r9d,%r12d + vpalignr $4,%xmm2,%xmm3,%xmm7 + shrdl $9,%r14d,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + vpsrld $7,%xmm4,%xmm6 + shrdl $5,%r13d,%r13d + xorl %eax,%r14d + andl %r8d,%r12d + vpaddd %xmm7,%xmm0,%xmm0 + xorl %r8d,%r13d + addl 0(%rsp),%r11d + movl %eax,%r15d + vpsrld $3,%xmm4,%xmm7 + xorl %r10d,%r12d + shrdl $11,%r14d,%r14d + xorl %ebx,%r15d + vpslld $14,%xmm4,%xmm5 + addl %r12d,%r11d + shrdl $6,%r13d,%r13d + andl %r15d,%edi + vpxor %xmm6,%xmm7,%xmm4 + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + vpshufd $250,%xmm3,%xmm7 + shrdl $2,%r14d,%r14d + addl %r11d,%edx + addl %edi,%r11d + vpsrld $11,%xmm6,%xmm6 + movl %edx,%r13d + addl %r11d,%r14d + shrdl $14,%r13d,%r13d + vpxor %xmm5,%xmm4,%xmm4 + movl %r14d,%r11d + movl %r8d,%r12d + shrdl $9,%r14d,%r14d + vpslld $11,%xmm5,%xmm5 + xorl %edx,%r13d + xorl %r9d,%r12d + shrdl $5,%r13d,%r13d + vpxor %xmm6,%xmm4,%xmm4 + xorl %r11d,%r14d + andl %edx,%r12d + xorl %edx,%r13d + vpsrld $10,%xmm7,%xmm6 + addl 4(%rsp),%r10d + movl %r11d,%edi + xorl %r9d,%r12d + vpxor %xmm5,%xmm4,%xmm4 + shrdl $11,%r14d,%r14d + xorl %eax,%edi + addl %r12d,%r10d + vpsrlq $17,%xmm7,%xmm7 + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + vpaddd %xmm4,%xmm0,%xmm0 + addl %r13d,%r10d + xorl %eax,%r15d + shrdl $2,%r14d,%r14d + vpxor %xmm7,%xmm6,%xmm6 + addl %r10d,%ecx + addl %r15d,%r10d + movl %ecx,%r13d + vpsrlq $2,%xmm7,%xmm7 + addl %r10d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r10d + vpxor %xmm7,%xmm6,%xmm6 + movl %edx,%r12d + shrdl $9,%r14d,%r14d + xorl %ecx,%r13d + vpshufb %xmm8,%xmm6,%xmm6 + xorl %r8d,%r12d + shrdl $5,%r13d,%r13d + xorl %r10d,%r14d + vpaddd %xmm6,%xmm0,%xmm0 + andl %ecx,%r12d + xorl %ecx,%r13d + addl 8(%rsp),%r9d + vpshufd $80,%xmm0,%xmm7 + movl %r10d,%r15d + xorl %r8d,%r12d + shrdl $11,%r14d,%r14d + vpsrld $10,%xmm7,%xmm6 + xorl %r11d,%r15d + addl %r12d,%r9d + shrdl $6,%r13d,%r13d + vpsrlq $17,%xmm7,%xmm7 + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + vpxor %xmm7,%xmm6,%xmm6 + xorl %r11d,%edi + shrdl $2,%r14d,%r14d + addl %r9d,%ebx + vpsrlq $2,%xmm7,%xmm7 + addl %edi,%r9d + movl %ebx,%r13d + addl %r9d,%r14d + vpxor %xmm7,%xmm6,%xmm6 + shrdl $14,%r13d,%r13d + movl %r14d,%r9d + movl %ecx,%r12d + vpshufb %xmm9,%xmm6,%xmm6 + shrdl $9,%r14d,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + vpaddd %xmm6,%xmm0,%xmm0 + shrdl $5,%r13d,%r13d + xorl %r9d,%r14d + andl %ebx,%r12d + vpaddd 0(%rsi),%xmm0,%xmm6 + xorl %ebx,%r13d + addl 12(%rsp),%r8d + movl %r9d,%edi + xorl %edx,%r12d + shrdl $11,%r14d,%r14d + xorl %r10d,%edi + addl %r12d,%r8d + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + shrdl $2,%r14d,%r14d + addl %r8d,%eax + addl %r15d,%r8d + movl %eax,%r13d + addl %r8d,%r14d + vmovdqa %xmm6,0(%rsp) + vpalignr $4,%xmm1,%xmm2,%xmm4 + shrdl $14,%r13d,%r13d + movl %r14d,%r8d + movl %ebx,%r12d + vpalignr $4,%xmm3,%xmm0,%xmm7 + shrdl $9,%r14d,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + vpsrld $7,%xmm4,%xmm6 + shrdl $5,%r13d,%r13d + xorl %r8d,%r14d + andl %eax,%r12d + vpaddd %xmm7,%xmm1,%xmm1 + xorl %eax,%r13d + addl 16(%rsp),%edx + movl %r8d,%r15d + vpsrld $3,%xmm4,%xmm7 + xorl %ecx,%r12d + shrdl $11,%r14d,%r14d + xorl %r9d,%r15d + vpslld $14,%xmm4,%xmm5 + addl %r12d,%edx + shrdl $6,%r13d,%r13d + andl %r15d,%edi + vpxor %xmm6,%xmm7,%xmm4 + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + vpshufd $250,%xmm0,%xmm7 + shrdl $2,%r14d,%r14d + addl %edx,%r11d + addl %edi,%edx + vpsrld $11,%xmm6,%xmm6 + movl %r11d,%r13d + addl %edx,%r14d + shrdl $14,%r13d,%r13d + vpxor %xmm5,%xmm4,%xmm4 + movl %r14d,%edx + movl %eax,%r12d + shrdl $9,%r14d,%r14d + vpslld $11,%xmm5,%xmm5 + xorl %r11d,%r13d + xorl %ebx,%r12d + shrdl $5,%r13d,%r13d + vpxor %xmm6,%xmm4,%xmm4 + xorl %edx,%r14d + andl %r11d,%r12d + xorl %r11d,%r13d + vpsrld $10,%xmm7,%xmm6 + addl 20(%rsp),%ecx + movl %edx,%edi + xorl %ebx,%r12d + vpxor %xmm5,%xmm4,%xmm4 + shrdl $11,%r14d,%r14d + xorl %r8d,%edi + addl %r12d,%ecx + vpsrlq $17,%xmm7,%xmm7 + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %edx,%r14d + vpaddd %xmm4,%xmm1,%xmm1 + addl %r13d,%ecx + xorl %r8d,%r15d + shrdl $2,%r14d,%r14d + vpxor %xmm7,%xmm6,%xmm6 + addl %ecx,%r10d + addl %r15d,%ecx + movl %r10d,%r13d + vpsrlq $2,%xmm7,%xmm7 + addl %ecx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%ecx + vpxor %xmm7,%xmm6,%xmm6 + movl %r11d,%r12d + shrdl $9,%r14d,%r14d + xorl %r10d,%r13d + vpshufb %xmm8,%xmm6,%xmm6 + xorl %eax,%r12d + shrdl $5,%r13d,%r13d + xorl %ecx,%r14d + vpaddd %xmm6,%xmm1,%xmm1 + andl %r10d,%r12d + xorl %r10d,%r13d + addl 24(%rsp),%ebx + vpshufd $80,%xmm1,%xmm7 + movl %ecx,%r15d + xorl %eax,%r12d + shrdl $11,%r14d,%r14d + vpsrld $10,%xmm7,%xmm6 + xorl %edx,%r15d + addl %r12d,%ebx + shrdl $6,%r13d,%r13d + vpsrlq $17,%xmm7,%xmm7 + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + vpxor %xmm7,%xmm6,%xmm6 + xorl %edx,%edi + shrdl $2,%r14d,%r14d + addl %ebx,%r9d + vpsrlq $2,%xmm7,%xmm7 + addl %edi,%ebx + movl %r9d,%r13d + addl %ebx,%r14d + vpxor %xmm7,%xmm6,%xmm6 + shrdl $14,%r13d,%r13d + movl %r14d,%ebx + movl %r10d,%r12d + vpshufb %xmm9,%xmm6,%xmm6 + shrdl $9,%r14d,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + vpaddd %xmm6,%xmm1,%xmm1 + shrdl $5,%r13d,%r13d + xorl %ebx,%r14d + andl %r9d,%r12d + vpaddd 32(%rsi),%xmm1,%xmm6 + xorl %r9d,%r13d + addl 28(%rsp),%eax + movl %ebx,%edi + xorl %r11d,%r12d + shrdl $11,%r14d,%r14d + xorl %ecx,%edi + addl %r12d,%eax + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + shrdl $2,%r14d,%r14d + addl %eax,%r8d + addl %r15d,%eax + movl %r8d,%r13d + addl %eax,%r14d + vmovdqa %xmm6,16(%rsp) + vpalignr $4,%xmm2,%xmm3,%xmm4 + shrdl $14,%r13d,%r13d + movl %r14d,%eax + movl %r9d,%r12d + vpalignr $4,%xmm0,%xmm1,%xmm7 + shrdl $9,%r14d,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + vpsrld $7,%xmm4,%xmm6 + shrdl $5,%r13d,%r13d + xorl %eax,%r14d + andl %r8d,%r12d + vpaddd %xmm7,%xmm2,%xmm2 + xorl %r8d,%r13d + addl 32(%rsp),%r11d + movl %eax,%r15d + vpsrld $3,%xmm4,%xmm7 + xorl %r10d,%r12d + shrdl $11,%r14d,%r14d + xorl %ebx,%r15d + vpslld $14,%xmm4,%xmm5 + addl %r12d,%r11d + shrdl $6,%r13d,%r13d + andl %r15d,%edi + vpxor %xmm6,%xmm7,%xmm4 + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + vpshufd $250,%xmm1,%xmm7 + shrdl $2,%r14d,%r14d + addl %r11d,%edx + addl %edi,%r11d + vpsrld $11,%xmm6,%xmm6 + movl %edx,%r13d + addl %r11d,%r14d + shrdl $14,%r13d,%r13d + vpxor %xmm5,%xmm4,%xmm4 + movl %r14d,%r11d + movl %r8d,%r12d + shrdl $9,%r14d,%r14d + vpslld $11,%xmm5,%xmm5 + xorl %edx,%r13d + xorl %r9d,%r12d + shrdl $5,%r13d,%r13d + vpxor %xmm6,%xmm4,%xmm4 + xorl %r11d,%r14d + andl %edx,%r12d + xorl %edx,%r13d + vpsrld $10,%xmm7,%xmm6 + addl 36(%rsp),%r10d + movl %r11d,%edi + xorl %r9d,%r12d + vpxor %xmm5,%xmm4,%xmm4 + shrdl $11,%r14d,%r14d + xorl %eax,%edi + addl %r12d,%r10d + vpsrlq $17,%xmm7,%xmm7 + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + vpaddd %xmm4,%xmm2,%xmm2 + addl %r13d,%r10d + xorl %eax,%r15d + shrdl $2,%r14d,%r14d + vpxor %xmm7,%xmm6,%xmm6 + addl %r10d,%ecx + addl %r15d,%r10d + movl %ecx,%r13d + vpsrlq $2,%xmm7,%xmm7 + addl %r10d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r10d + vpxor %xmm7,%xmm6,%xmm6 + movl %edx,%r12d + shrdl $9,%r14d,%r14d + xorl %ecx,%r13d + vpshufb %xmm8,%xmm6,%xmm6 + xorl %r8d,%r12d + shrdl $5,%r13d,%r13d + xorl %r10d,%r14d + vpaddd %xmm6,%xmm2,%xmm2 + andl %ecx,%r12d + xorl %ecx,%r13d + addl 40(%rsp),%r9d + vpshufd $80,%xmm2,%xmm7 + movl %r10d,%r15d + xorl %r8d,%r12d + shrdl $11,%r14d,%r14d + vpsrld $10,%xmm7,%xmm6 + xorl %r11d,%r15d + addl %r12d,%r9d + shrdl $6,%r13d,%r13d + vpsrlq $17,%xmm7,%xmm7 + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + vpxor %xmm7,%xmm6,%xmm6 + xorl %r11d,%edi + shrdl $2,%r14d,%r14d + addl %r9d,%ebx + vpsrlq $2,%xmm7,%xmm7 + addl %edi,%r9d + movl %ebx,%r13d + addl %r9d,%r14d + vpxor %xmm7,%xmm6,%xmm6 + shrdl $14,%r13d,%r13d + movl %r14d,%r9d + movl %ecx,%r12d + vpshufb %xmm9,%xmm6,%xmm6 + shrdl $9,%r14d,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + vpaddd %xmm6,%xmm2,%xmm2 + shrdl $5,%r13d,%r13d + xorl %r9d,%r14d + andl %ebx,%r12d + vpaddd 64(%rsi),%xmm2,%xmm6 + xorl %ebx,%r13d + addl 44(%rsp),%r8d + movl %r9d,%edi + xorl %edx,%r12d + shrdl $11,%r14d,%r14d + xorl %r10d,%edi + addl %r12d,%r8d + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + shrdl $2,%r14d,%r14d + addl %r8d,%eax + addl %r15d,%r8d + movl %eax,%r13d + addl %r8d,%r14d + vmovdqa %xmm6,32(%rsp) + vpalignr $4,%xmm3,%xmm0,%xmm4 + shrdl $14,%r13d,%r13d + movl %r14d,%r8d + movl %ebx,%r12d + vpalignr $4,%xmm1,%xmm2,%xmm7 + shrdl $9,%r14d,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + vpsrld $7,%xmm4,%xmm6 + shrdl $5,%r13d,%r13d + xorl %r8d,%r14d + andl %eax,%r12d + vpaddd %xmm7,%xmm3,%xmm3 + xorl %eax,%r13d + addl 48(%rsp),%edx + movl %r8d,%r15d + vpsrld $3,%xmm4,%xmm7 + xorl %ecx,%r12d + shrdl $11,%r14d,%r14d + xorl %r9d,%r15d + vpslld $14,%xmm4,%xmm5 + addl %r12d,%edx + shrdl $6,%r13d,%r13d + andl %r15d,%edi + vpxor %xmm6,%xmm7,%xmm4 + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + vpshufd $250,%xmm2,%xmm7 + shrdl $2,%r14d,%r14d + addl %edx,%r11d + addl %edi,%edx + vpsrld $11,%xmm6,%xmm6 + movl %r11d,%r13d + addl %edx,%r14d + shrdl $14,%r13d,%r13d + vpxor %xmm5,%xmm4,%xmm4 + movl %r14d,%edx + movl %eax,%r12d + shrdl $9,%r14d,%r14d + vpslld $11,%xmm5,%xmm5 + xorl %r11d,%r13d + xorl %ebx,%r12d + shrdl $5,%r13d,%r13d + vpxor %xmm6,%xmm4,%xmm4 + xorl %edx,%r14d + andl %r11d,%r12d + xorl %r11d,%r13d + vpsrld $10,%xmm7,%xmm6 + addl 52(%rsp),%ecx + movl %edx,%edi + xorl %ebx,%r12d + vpxor %xmm5,%xmm4,%xmm4 + shrdl $11,%r14d,%r14d + xorl %r8d,%edi + addl %r12d,%ecx + vpsrlq $17,%xmm7,%xmm7 + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %edx,%r14d + vpaddd %xmm4,%xmm3,%xmm3 + addl %r13d,%ecx + xorl %r8d,%r15d + shrdl $2,%r14d,%r14d + vpxor %xmm7,%xmm6,%xmm6 + addl %ecx,%r10d + addl %r15d,%ecx + movl %r10d,%r13d + vpsrlq $2,%xmm7,%xmm7 + addl %ecx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%ecx + vpxor %xmm7,%xmm6,%xmm6 + movl %r11d,%r12d + shrdl $9,%r14d,%r14d + xorl %r10d,%r13d + vpshufb %xmm8,%xmm6,%xmm6 + xorl %eax,%r12d + shrdl $5,%r13d,%r13d + xorl %ecx,%r14d + vpaddd %xmm6,%xmm3,%xmm3 + andl %r10d,%r12d + xorl %r10d,%r13d + addl 56(%rsp),%ebx + vpshufd $80,%xmm3,%xmm7 + movl %ecx,%r15d + xorl %eax,%r12d + shrdl $11,%r14d,%r14d + vpsrld $10,%xmm7,%xmm6 + xorl %edx,%r15d + addl %r12d,%ebx + shrdl $6,%r13d,%r13d + vpsrlq $17,%xmm7,%xmm7 + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + vpxor %xmm7,%xmm6,%xmm6 + xorl %edx,%edi + shrdl $2,%r14d,%r14d + addl %ebx,%r9d + vpsrlq $2,%xmm7,%xmm7 + addl %edi,%ebx + movl %r9d,%r13d + addl %ebx,%r14d + vpxor %xmm7,%xmm6,%xmm6 + shrdl $14,%r13d,%r13d + movl %r14d,%ebx + movl %r10d,%r12d + vpshufb %xmm9,%xmm6,%xmm6 + shrdl $9,%r14d,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + vpaddd %xmm6,%xmm3,%xmm3 + shrdl $5,%r13d,%r13d + xorl %ebx,%r14d + andl %r9d,%r12d + vpaddd 96(%rsi),%xmm3,%xmm6 + xorl %r9d,%r13d + addl 60(%rsp),%eax + movl %ebx,%edi + xorl %r11d,%r12d + shrdl $11,%r14d,%r14d + xorl %ecx,%edi + addl %r12d,%eax + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + shrdl $2,%r14d,%r14d + addl %eax,%r8d + addl %r15d,%eax + movl %r8d,%r13d + addl %eax,%r14d + vmovdqa %xmm6,48(%rsp) + cmpb $0,131(%rsi) + jne L$avx_00_47 + shrdl $14,%r13d,%r13d + movl %r14d,%eax + movl %r9d,%r12d + shrdl $9,%r14d,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + shrdl $5,%r13d,%r13d + xorl %eax,%r14d + andl %r8d,%r12d + xorl %r8d,%r13d + addl 0(%rsp),%r11d + movl %eax,%r15d + xorl %r10d,%r12d + shrdl $11,%r14d,%r14d + xorl %ebx,%r15d + addl %r12d,%r11d + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + shrdl $2,%r14d,%r14d + addl %r11d,%edx + addl %edi,%r11d + movl %edx,%r13d + addl %r11d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r11d + movl %r8d,%r12d + shrdl $9,%r14d,%r14d + xorl %edx,%r13d + xorl %r9d,%r12d + shrdl $5,%r13d,%r13d + xorl %r11d,%r14d + andl %edx,%r12d + xorl %edx,%r13d + addl 4(%rsp),%r10d + movl %r11d,%edi + xorl %r9d,%r12d + shrdl $11,%r14d,%r14d + xorl %eax,%edi + addl %r12d,%r10d + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + addl %r13d,%r10d + xorl %eax,%r15d + shrdl $2,%r14d,%r14d + addl %r10d,%ecx + addl %r15d,%r10d + movl %ecx,%r13d + addl %r10d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r10d + movl %edx,%r12d + shrdl $9,%r14d,%r14d + xorl %ecx,%r13d + xorl %r8d,%r12d + shrdl $5,%r13d,%r13d + xorl %r10d,%r14d + andl %ecx,%r12d + xorl %ecx,%r13d + addl 8(%rsp),%r9d + movl %r10d,%r15d + xorl %r8d,%r12d + shrdl $11,%r14d,%r14d + xorl %r11d,%r15d + addl %r12d,%r9d + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + xorl %r11d,%edi + shrdl $2,%r14d,%r14d + addl %r9d,%ebx + addl %edi,%r9d + movl %ebx,%r13d + addl %r9d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r9d + movl %ecx,%r12d + shrdl $9,%r14d,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + shrdl $5,%r13d,%r13d + xorl %r9d,%r14d + andl %ebx,%r12d + xorl %ebx,%r13d + addl 12(%rsp),%r8d + movl %r9d,%edi + xorl %edx,%r12d + shrdl $11,%r14d,%r14d + xorl %r10d,%edi + addl %r12d,%r8d + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + shrdl $2,%r14d,%r14d + addl %r8d,%eax + addl %r15d,%r8d + movl %eax,%r13d + addl %r8d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r8d + movl %ebx,%r12d + shrdl $9,%r14d,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + shrdl $5,%r13d,%r13d + xorl %r8d,%r14d + andl %eax,%r12d + xorl %eax,%r13d + addl 16(%rsp),%edx + movl %r8d,%r15d + xorl %ecx,%r12d + shrdl $11,%r14d,%r14d + xorl %r9d,%r15d + addl %r12d,%edx + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + shrdl $2,%r14d,%r14d + addl %edx,%r11d + addl %edi,%edx + movl %r11d,%r13d + addl %edx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%edx + movl %eax,%r12d + shrdl $9,%r14d,%r14d + xorl %r11d,%r13d + xorl %ebx,%r12d + shrdl $5,%r13d,%r13d + xorl %edx,%r14d + andl %r11d,%r12d + xorl %r11d,%r13d + addl 20(%rsp),%ecx + movl %edx,%edi + xorl %ebx,%r12d + shrdl $11,%r14d,%r14d + xorl %r8d,%edi + addl %r12d,%ecx + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %edx,%r14d + addl %r13d,%ecx + xorl %r8d,%r15d + shrdl $2,%r14d,%r14d + addl %ecx,%r10d + addl %r15d,%ecx + movl %r10d,%r13d + addl %ecx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%ecx + movl %r11d,%r12d + shrdl $9,%r14d,%r14d + xorl %r10d,%r13d + xorl %eax,%r12d + shrdl $5,%r13d,%r13d + xorl %ecx,%r14d + andl %r10d,%r12d + xorl %r10d,%r13d + addl 24(%rsp),%ebx + movl %ecx,%r15d + xorl %eax,%r12d + shrdl $11,%r14d,%r14d + xorl %edx,%r15d + addl %r12d,%ebx + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + xorl %edx,%edi + shrdl $2,%r14d,%r14d + addl %ebx,%r9d + addl %edi,%ebx + movl %r9d,%r13d + addl %ebx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%ebx + movl %r10d,%r12d + shrdl $9,%r14d,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + shrdl $5,%r13d,%r13d + xorl %ebx,%r14d + andl %r9d,%r12d + xorl %r9d,%r13d + addl 28(%rsp),%eax + movl %ebx,%edi + xorl %r11d,%r12d + shrdl $11,%r14d,%r14d + xorl %ecx,%edi + addl %r12d,%eax + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + shrdl $2,%r14d,%r14d + addl %eax,%r8d + addl %r15d,%eax + movl %r8d,%r13d + addl %eax,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%eax + movl %r9d,%r12d + shrdl $9,%r14d,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + shrdl $5,%r13d,%r13d + xorl %eax,%r14d + andl %r8d,%r12d + xorl %r8d,%r13d + addl 32(%rsp),%r11d + movl %eax,%r15d + xorl %r10d,%r12d + shrdl $11,%r14d,%r14d + xorl %ebx,%r15d + addl %r12d,%r11d + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + shrdl $2,%r14d,%r14d + addl %r11d,%edx + addl %edi,%r11d + movl %edx,%r13d + addl %r11d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r11d + movl %r8d,%r12d + shrdl $9,%r14d,%r14d + xorl %edx,%r13d + xorl %r9d,%r12d + shrdl $5,%r13d,%r13d + xorl %r11d,%r14d + andl %edx,%r12d + xorl %edx,%r13d + addl 36(%rsp),%r10d + movl %r11d,%edi + xorl %r9d,%r12d + shrdl $11,%r14d,%r14d + xorl %eax,%edi + addl %r12d,%r10d + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + addl %r13d,%r10d + xorl %eax,%r15d + shrdl $2,%r14d,%r14d + addl %r10d,%ecx + addl %r15d,%r10d + movl %ecx,%r13d + addl %r10d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r10d + movl %edx,%r12d + shrdl $9,%r14d,%r14d + xorl %ecx,%r13d + xorl %r8d,%r12d + shrdl $5,%r13d,%r13d + xorl %r10d,%r14d + andl %ecx,%r12d + xorl %ecx,%r13d + addl 40(%rsp),%r9d + movl %r10d,%r15d + xorl %r8d,%r12d + shrdl $11,%r14d,%r14d + xorl %r11d,%r15d + addl %r12d,%r9d + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + xorl %r11d,%edi + shrdl $2,%r14d,%r14d + addl %r9d,%ebx + addl %edi,%r9d + movl %ebx,%r13d + addl %r9d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r9d + movl %ecx,%r12d + shrdl $9,%r14d,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + shrdl $5,%r13d,%r13d + xorl %r9d,%r14d + andl %ebx,%r12d + xorl %ebx,%r13d + addl 44(%rsp),%r8d + movl %r9d,%edi + xorl %edx,%r12d + shrdl $11,%r14d,%r14d + xorl %r10d,%edi + addl %r12d,%r8d + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + shrdl $2,%r14d,%r14d + addl %r8d,%eax + addl %r15d,%r8d + movl %eax,%r13d + addl %r8d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r8d + movl %ebx,%r12d + shrdl $9,%r14d,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + shrdl $5,%r13d,%r13d + xorl %r8d,%r14d + andl %eax,%r12d + xorl %eax,%r13d + addl 48(%rsp),%edx + movl %r8d,%r15d + xorl %ecx,%r12d + shrdl $11,%r14d,%r14d + xorl %r9d,%r15d + addl %r12d,%edx + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + shrdl $2,%r14d,%r14d + addl %edx,%r11d + addl %edi,%edx + movl %r11d,%r13d + addl %edx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%edx + movl %eax,%r12d + shrdl $9,%r14d,%r14d + xorl %r11d,%r13d + xorl %ebx,%r12d + shrdl $5,%r13d,%r13d + xorl %edx,%r14d + andl %r11d,%r12d + xorl %r11d,%r13d + addl 52(%rsp),%ecx + movl %edx,%edi + xorl %ebx,%r12d + shrdl $11,%r14d,%r14d + xorl %r8d,%edi + addl %r12d,%ecx + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %edx,%r14d + addl %r13d,%ecx + xorl %r8d,%r15d + shrdl $2,%r14d,%r14d + addl %ecx,%r10d + addl %r15d,%ecx + movl %r10d,%r13d + addl %ecx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%ecx + movl %r11d,%r12d + shrdl $9,%r14d,%r14d + xorl %r10d,%r13d + xorl %eax,%r12d + shrdl $5,%r13d,%r13d + xorl %ecx,%r14d + andl %r10d,%r12d + xorl %r10d,%r13d + addl 56(%rsp),%ebx + movl %ecx,%r15d + xorl %eax,%r12d + shrdl $11,%r14d,%r14d + xorl %edx,%r15d + addl %r12d,%ebx + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + xorl %edx,%edi + shrdl $2,%r14d,%r14d + addl %ebx,%r9d + addl %edi,%ebx + movl %r9d,%r13d + addl %ebx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%ebx + movl %r10d,%r12d + shrdl $9,%r14d,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + shrdl $5,%r13d,%r13d + xorl %ebx,%r14d + andl %r9d,%r12d + xorl %r9d,%r13d + addl 60(%rsp),%eax + movl %ebx,%edi + xorl %r11d,%r12d + shrdl $11,%r14d,%r14d + xorl %ecx,%edi + addl %r12d,%eax + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + shrdl $2,%r14d,%r14d + addl %eax,%r8d + addl %r15d,%eax + movl %r8d,%r13d + addl %eax,%r14d + movq -64(%rbp),%rdi + movl %r14d,%eax + movq -56(%rbp),%rsi + + addl 0(%rdi),%eax + addl 4(%rdi),%ebx + addl 8(%rdi),%ecx + addl 12(%rdi),%edx + addl 16(%rdi),%r8d + addl 20(%rdi),%r9d + addl 24(%rdi),%r10d + addl 28(%rdi),%r11d + + leaq 64(%rsi),%rsi + cmpq -48(%rbp),%rsi + + movl %eax,0(%rdi) + movl %ebx,4(%rdi) + movl %ecx,8(%rdi) + movl %edx,12(%rdi) + movl %r8d,16(%rdi) + movl %r9d,20(%rdi) + movl %r10d,24(%rdi) + movl %r11d,28(%rdi) + jb L$loop_avx + + vzeroupper + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp +.cfi_def_cfa_register %rsp + popq %rbp +.cfi_adjust_cfa_offset -8 +.cfi_restore %rbp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbx + .byte 0xf3,0xc3 +.cfi_endproc + + +.p2align 6 +crypton_sha256_asm_block_data_order_avx2: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp +L$avx2_shortcut: + pushq %rbx +.cfi_offset %rbx,-24 + pushq %r12 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_offset %r15,-56 + shlq $4,%rdx + subq $24,%rsp + + leaq (%rsi,%rdx,4),%rdx + movq %rdi,-64(%rbp) + + movq %rdx,-48(%rbp) + + + leaq -64(%rsp),%rsp + vzeroupper + andq $-64,%rsp + subq $-64,%rsi + movl 0(%rdi),%eax + movq %rsi,%r12 + movl 4(%rdi),%ebx + cmpq %rdx,%rsi + movl 8(%rdi),%ecx + cmoveq %rsp,%r12 + movl 12(%rdi),%edx + movl 16(%rdi),%r8d + movl 20(%rdi),%r9d + movl 24(%rdi),%r10d + movl 28(%rdi),%r11d + vmovdqa K256+512+32(%rip),%ymm8 + vmovdqa K256+512+64(%rip),%ymm9 + jmp L$oop_avx2 +.p2align 4 +L$oop_avx2: + vmovdqa K256+512(%rip),%ymm7 + movq %rsi,-56(%rbp) + vmovdqu -64+0(%rsi),%xmm0 + vmovdqu -64+16(%rsi),%xmm1 + vmovdqu -64+32(%rsi),%xmm2 + vmovdqu -64+48(%rsi),%xmm3 + leaq K256(%rip),%rsi + vinserti128 $1,(%r12),%ymm0,%ymm0 + vinserti128 $1,16(%r12),%ymm1,%ymm1 + vpshufb %ymm7,%ymm0,%ymm0 + vinserti128 $1,32(%r12),%ymm2,%ymm2 + vpshufb %ymm7,%ymm1,%ymm1 + vinserti128 $1,48(%r12),%ymm3,%ymm3 + + vpshufb %ymm7,%ymm2,%ymm2 + vpaddd 0(%rsi),%ymm0,%ymm4 + vpshufb %ymm7,%ymm3,%ymm3 + vpaddd 32(%rsi),%ymm1,%ymm5 + vpaddd 64(%rsi),%ymm2,%ymm6 + vpaddd 96(%rsi),%ymm3,%ymm7 + vmovdqa %ymm4,0(%rsp) + xorl %r14d,%r14d + vmovdqa %ymm5,32(%rsp) + leaq -64(%rsp),%rsp + movl %ebx,%edi + vmovdqa %ymm6,0(%rsp) + xorl %ecx,%edi + vmovdqa %ymm7,32(%rsp) + movl %r9d,%r12d + subq $-32*4,%rsi + jmp L$avx2_00_47 + +.p2align 4 +L$avx2_00_47: + leaq -64(%rsp),%rsp + vpalignr $4,%ymm0,%ymm1,%ymm4 + addl 0+128(%rsp),%r11d + andl %r8d,%r12d + rorxl $25,%r8d,%r13d + vpalignr $4,%ymm2,%ymm3,%ymm7 + rorxl $11,%r8d,%r15d + leal (%rax,%r14,1),%eax + leal (%r11,%r12,1),%r11d + vpsrld $7,%ymm4,%ymm6 + andnl %r10d,%r8d,%r12d + xorl %r15d,%r13d + rorxl $6,%r8d,%r14d + vpaddd %ymm7,%ymm0,%ymm0 + leal (%r11,%r12,1),%r11d + xorl %r14d,%r13d + movl %eax,%r15d + vpsrld $3,%ymm4,%ymm7 + rorxl $22,%eax,%r12d + leal (%r11,%r13,1),%r11d + xorl %ebx,%r15d + vpslld $14,%ymm4,%ymm5 + rorxl $13,%eax,%r14d + rorxl $2,%eax,%r13d + leal (%rdx,%r11,1),%edx + vpxor %ymm6,%ymm7,%ymm4 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %ebx,%edi + vpshufd $250,%ymm3,%ymm7 + xorl %r13d,%r14d + leal (%r11,%rdi,1),%r11d + movl %r8d,%r12d + vpsrld $11,%ymm6,%ymm6 + addl 4+128(%rsp),%r10d + andl %edx,%r12d + rorxl $25,%edx,%r13d + vpxor %ymm5,%ymm4,%ymm4 + rorxl $11,%edx,%edi + leal (%r11,%r14,1),%r11d + leal (%r10,%r12,1),%r10d + vpslld $11,%ymm5,%ymm5 + andnl %r9d,%edx,%r12d + xorl %edi,%r13d + rorxl $6,%edx,%r14d + vpxor %ymm6,%ymm4,%ymm4 + leal (%r10,%r12,1),%r10d + xorl %r14d,%r13d + movl %r11d,%edi + vpsrld $10,%ymm7,%ymm6 + rorxl $22,%r11d,%r12d + leal (%r10,%r13,1),%r10d + xorl %eax,%edi + vpxor %ymm5,%ymm4,%ymm4 + rorxl $13,%r11d,%r14d + rorxl $2,%r11d,%r13d + leal (%rcx,%r10,1),%ecx + vpsrlq $17,%ymm7,%ymm7 + andl %edi,%r15d + xorl %r12d,%r14d + xorl %eax,%r15d + vpaddd %ymm4,%ymm0,%ymm0 + xorl %r13d,%r14d + leal (%r10,%r15,1),%r10d + movl %edx,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 8+128(%rsp),%r9d + andl %ecx,%r12d + rorxl $25,%ecx,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%ecx,%r15d + leal (%r10,%r14,1),%r10d + leal (%r9,%r12,1),%r9d + vpxor %ymm7,%ymm6,%ymm6 + andnl %r8d,%ecx,%r12d + xorl %r15d,%r13d + rorxl $6,%ecx,%r14d + vpshufb %ymm8,%ymm6,%ymm6 + leal (%r9,%r12,1),%r9d + xorl %r14d,%r13d + movl %r10d,%r15d + vpaddd %ymm6,%ymm0,%ymm0 + rorxl $22,%r10d,%r12d + leal (%r9,%r13,1),%r9d + xorl %r11d,%r15d + vpshufd $80,%ymm0,%ymm7 + rorxl $13,%r10d,%r14d + rorxl $2,%r10d,%r13d + leal (%rbx,%r9,1),%ebx + vpsrld $10,%ymm7,%ymm6 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r11d,%edi + vpsrlq $17,%ymm7,%ymm7 + xorl %r13d,%r14d + leal (%r9,%rdi,1),%r9d + movl %ecx,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 12+128(%rsp),%r8d + andl %ebx,%r12d + rorxl $25,%ebx,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%ebx,%edi + leal (%r9,%r14,1),%r9d + leal (%r8,%r12,1),%r8d + vpxor %ymm7,%ymm6,%ymm6 + andnl %edx,%ebx,%r12d + xorl %edi,%r13d + rorxl $6,%ebx,%r14d + vpshufb %ymm9,%ymm6,%ymm6 + leal (%r8,%r12,1),%r8d + xorl %r14d,%r13d + movl %r9d,%edi + vpaddd %ymm6,%ymm0,%ymm0 + rorxl $22,%r9d,%r12d + leal (%r8,%r13,1),%r8d + xorl %r10d,%edi + vpaddd 0(%rsi),%ymm0,%ymm6 + rorxl $13,%r9d,%r14d + rorxl $2,%r9d,%r13d + leal (%rax,%r8,1),%eax + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r10d,%r15d + xorl %r13d,%r14d + leal (%r8,%r15,1),%r8d + movl %ebx,%r12d + vmovdqa %ymm6,0(%rsp) + vpalignr $4,%ymm1,%ymm2,%ymm4 + addl 32+128(%rsp),%edx + andl %eax,%r12d + rorxl $25,%eax,%r13d + vpalignr $4,%ymm3,%ymm0,%ymm7 + rorxl $11,%eax,%r15d + leal (%r8,%r14,1),%r8d + leal (%rdx,%r12,1),%edx + vpsrld $7,%ymm4,%ymm6 + andnl %ecx,%eax,%r12d + xorl %r15d,%r13d + rorxl $6,%eax,%r14d + vpaddd %ymm7,%ymm1,%ymm1 + leal (%rdx,%r12,1),%edx + xorl %r14d,%r13d + movl %r8d,%r15d + vpsrld $3,%ymm4,%ymm7 + rorxl $22,%r8d,%r12d + leal (%rdx,%r13,1),%edx + xorl %r9d,%r15d + vpslld $14,%ymm4,%ymm5 + rorxl $13,%r8d,%r14d + rorxl $2,%r8d,%r13d + leal (%r11,%rdx,1),%r11d + vpxor %ymm6,%ymm7,%ymm4 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r9d,%edi + vpshufd $250,%ymm0,%ymm7 + xorl %r13d,%r14d + leal (%rdx,%rdi,1),%edx + movl %eax,%r12d + vpsrld $11,%ymm6,%ymm6 + addl 36+128(%rsp),%ecx + andl %r11d,%r12d + rorxl $25,%r11d,%r13d + vpxor %ymm5,%ymm4,%ymm4 + rorxl $11,%r11d,%edi + leal (%rdx,%r14,1),%edx + leal (%rcx,%r12,1),%ecx + vpslld $11,%ymm5,%ymm5 + andnl %ebx,%r11d,%r12d + xorl %edi,%r13d + rorxl $6,%r11d,%r14d + vpxor %ymm6,%ymm4,%ymm4 + leal (%rcx,%r12,1),%ecx + xorl %r14d,%r13d + movl %edx,%edi + vpsrld $10,%ymm7,%ymm6 + rorxl $22,%edx,%r12d + leal (%rcx,%r13,1),%ecx + xorl %r8d,%edi + vpxor %ymm5,%ymm4,%ymm4 + rorxl $13,%edx,%r14d + rorxl $2,%edx,%r13d + leal (%r10,%rcx,1),%r10d + vpsrlq $17,%ymm7,%ymm7 + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r8d,%r15d + vpaddd %ymm4,%ymm1,%ymm1 + xorl %r13d,%r14d + leal (%rcx,%r15,1),%ecx + movl %r11d,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 40+128(%rsp),%ebx + andl %r10d,%r12d + rorxl $25,%r10d,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%r10d,%r15d + leal (%rcx,%r14,1),%ecx + leal (%rbx,%r12,1),%ebx + vpxor %ymm7,%ymm6,%ymm6 + andnl %eax,%r10d,%r12d + xorl %r15d,%r13d + rorxl $6,%r10d,%r14d + vpshufb %ymm8,%ymm6,%ymm6 + leal (%rbx,%r12,1),%ebx + xorl %r14d,%r13d + movl %ecx,%r15d + vpaddd %ymm6,%ymm1,%ymm1 + rorxl $22,%ecx,%r12d + leal (%rbx,%r13,1),%ebx + xorl %edx,%r15d + vpshufd $80,%ymm1,%ymm7 + rorxl $13,%ecx,%r14d + rorxl $2,%ecx,%r13d + leal (%r9,%rbx,1),%r9d + vpsrld $10,%ymm7,%ymm6 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %edx,%edi + vpsrlq $17,%ymm7,%ymm7 + xorl %r13d,%r14d + leal (%rbx,%rdi,1),%ebx + movl %r10d,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 44+128(%rsp),%eax + andl %r9d,%r12d + rorxl $25,%r9d,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%r9d,%edi + leal (%rbx,%r14,1),%ebx + leal (%rax,%r12,1),%eax + vpxor %ymm7,%ymm6,%ymm6 + andnl %r11d,%r9d,%r12d + xorl %edi,%r13d + rorxl $6,%r9d,%r14d + vpshufb %ymm9,%ymm6,%ymm6 + leal (%rax,%r12,1),%eax + xorl %r14d,%r13d + movl %ebx,%edi + vpaddd %ymm6,%ymm1,%ymm1 + rorxl $22,%ebx,%r12d + leal (%rax,%r13,1),%eax + xorl %ecx,%edi + vpaddd 32(%rsi),%ymm1,%ymm6 + rorxl $13,%ebx,%r14d + rorxl $2,%ebx,%r13d + leal (%r8,%rax,1),%r8d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %ecx,%r15d + xorl %r13d,%r14d + leal (%rax,%r15,1),%eax + movl %r9d,%r12d + vmovdqa %ymm6,32(%rsp) + leaq -64(%rsp),%rsp + vpalignr $4,%ymm2,%ymm3,%ymm4 + addl 0+128(%rsp),%r11d + andl %r8d,%r12d + rorxl $25,%r8d,%r13d + vpalignr $4,%ymm0,%ymm1,%ymm7 + rorxl $11,%r8d,%r15d + leal (%rax,%r14,1),%eax + leal (%r11,%r12,1),%r11d + vpsrld $7,%ymm4,%ymm6 + andnl %r10d,%r8d,%r12d + xorl %r15d,%r13d + rorxl $6,%r8d,%r14d + vpaddd %ymm7,%ymm2,%ymm2 + leal (%r11,%r12,1),%r11d + xorl %r14d,%r13d + movl %eax,%r15d + vpsrld $3,%ymm4,%ymm7 + rorxl $22,%eax,%r12d + leal (%r11,%r13,1),%r11d + xorl %ebx,%r15d + vpslld $14,%ymm4,%ymm5 + rorxl $13,%eax,%r14d + rorxl $2,%eax,%r13d + leal (%rdx,%r11,1),%edx + vpxor %ymm6,%ymm7,%ymm4 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %ebx,%edi + vpshufd $250,%ymm1,%ymm7 + xorl %r13d,%r14d + leal (%r11,%rdi,1),%r11d + movl %r8d,%r12d + vpsrld $11,%ymm6,%ymm6 + addl 4+128(%rsp),%r10d + andl %edx,%r12d + rorxl $25,%edx,%r13d + vpxor %ymm5,%ymm4,%ymm4 + rorxl $11,%edx,%edi + leal (%r11,%r14,1),%r11d + leal (%r10,%r12,1),%r10d + vpslld $11,%ymm5,%ymm5 + andnl %r9d,%edx,%r12d + xorl %edi,%r13d + rorxl $6,%edx,%r14d + vpxor %ymm6,%ymm4,%ymm4 + leal (%r10,%r12,1),%r10d + xorl %r14d,%r13d + movl %r11d,%edi + vpsrld $10,%ymm7,%ymm6 + rorxl $22,%r11d,%r12d + leal (%r10,%r13,1),%r10d + xorl %eax,%edi + vpxor %ymm5,%ymm4,%ymm4 + rorxl $13,%r11d,%r14d + rorxl $2,%r11d,%r13d + leal (%rcx,%r10,1),%ecx + vpsrlq $17,%ymm7,%ymm7 + andl %edi,%r15d + xorl %r12d,%r14d + xorl %eax,%r15d + vpaddd %ymm4,%ymm2,%ymm2 + xorl %r13d,%r14d + leal (%r10,%r15,1),%r10d + movl %edx,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 8+128(%rsp),%r9d + andl %ecx,%r12d + rorxl $25,%ecx,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%ecx,%r15d + leal (%r10,%r14,1),%r10d + leal (%r9,%r12,1),%r9d + vpxor %ymm7,%ymm6,%ymm6 + andnl %r8d,%ecx,%r12d + xorl %r15d,%r13d + rorxl $6,%ecx,%r14d + vpshufb %ymm8,%ymm6,%ymm6 + leal (%r9,%r12,1),%r9d + xorl %r14d,%r13d + movl %r10d,%r15d + vpaddd %ymm6,%ymm2,%ymm2 + rorxl $22,%r10d,%r12d + leal (%r9,%r13,1),%r9d + xorl %r11d,%r15d + vpshufd $80,%ymm2,%ymm7 + rorxl $13,%r10d,%r14d + rorxl $2,%r10d,%r13d + leal (%rbx,%r9,1),%ebx + vpsrld $10,%ymm7,%ymm6 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r11d,%edi + vpsrlq $17,%ymm7,%ymm7 + xorl %r13d,%r14d + leal (%r9,%rdi,1),%r9d + movl %ecx,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 12+128(%rsp),%r8d + andl %ebx,%r12d + rorxl $25,%ebx,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%ebx,%edi + leal (%r9,%r14,1),%r9d + leal (%r8,%r12,1),%r8d + vpxor %ymm7,%ymm6,%ymm6 + andnl %edx,%ebx,%r12d + xorl %edi,%r13d + rorxl $6,%ebx,%r14d + vpshufb %ymm9,%ymm6,%ymm6 + leal (%r8,%r12,1),%r8d + xorl %r14d,%r13d + movl %r9d,%edi + vpaddd %ymm6,%ymm2,%ymm2 + rorxl $22,%r9d,%r12d + leal (%r8,%r13,1),%r8d + xorl %r10d,%edi + vpaddd 64(%rsi),%ymm2,%ymm6 + rorxl $13,%r9d,%r14d + rorxl $2,%r9d,%r13d + leal (%rax,%r8,1),%eax + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r10d,%r15d + xorl %r13d,%r14d + leal (%r8,%r15,1),%r8d + movl %ebx,%r12d + vmovdqa %ymm6,0(%rsp) + vpalignr $4,%ymm3,%ymm0,%ymm4 + addl 32+128(%rsp),%edx + andl %eax,%r12d + rorxl $25,%eax,%r13d + vpalignr $4,%ymm1,%ymm2,%ymm7 + rorxl $11,%eax,%r15d + leal (%r8,%r14,1),%r8d + leal (%rdx,%r12,1),%edx + vpsrld $7,%ymm4,%ymm6 + andnl %ecx,%eax,%r12d + xorl %r15d,%r13d + rorxl $6,%eax,%r14d + vpaddd %ymm7,%ymm3,%ymm3 + leal (%rdx,%r12,1),%edx + xorl %r14d,%r13d + movl %r8d,%r15d + vpsrld $3,%ymm4,%ymm7 + rorxl $22,%r8d,%r12d + leal (%rdx,%r13,1),%edx + xorl %r9d,%r15d + vpslld $14,%ymm4,%ymm5 + rorxl $13,%r8d,%r14d + rorxl $2,%r8d,%r13d + leal (%r11,%rdx,1),%r11d + vpxor %ymm6,%ymm7,%ymm4 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r9d,%edi + vpshufd $250,%ymm2,%ymm7 + xorl %r13d,%r14d + leal (%rdx,%rdi,1),%edx + movl %eax,%r12d + vpsrld $11,%ymm6,%ymm6 + addl 36+128(%rsp),%ecx + andl %r11d,%r12d + rorxl $25,%r11d,%r13d + vpxor %ymm5,%ymm4,%ymm4 + rorxl $11,%r11d,%edi + leal (%rdx,%r14,1),%edx + leal (%rcx,%r12,1),%ecx + vpslld $11,%ymm5,%ymm5 + andnl %ebx,%r11d,%r12d + xorl %edi,%r13d + rorxl $6,%r11d,%r14d + vpxor %ymm6,%ymm4,%ymm4 + leal (%rcx,%r12,1),%ecx + xorl %r14d,%r13d + movl %edx,%edi + vpsrld $10,%ymm7,%ymm6 + rorxl $22,%edx,%r12d + leal (%rcx,%r13,1),%ecx + xorl %r8d,%edi + vpxor %ymm5,%ymm4,%ymm4 + rorxl $13,%edx,%r14d + rorxl $2,%edx,%r13d + leal (%r10,%rcx,1),%r10d + vpsrlq $17,%ymm7,%ymm7 + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r8d,%r15d + vpaddd %ymm4,%ymm3,%ymm3 + xorl %r13d,%r14d + leal (%rcx,%r15,1),%ecx + movl %r11d,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 40+128(%rsp),%ebx + andl %r10d,%r12d + rorxl $25,%r10d,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%r10d,%r15d + leal (%rcx,%r14,1),%ecx + leal (%rbx,%r12,1),%ebx + vpxor %ymm7,%ymm6,%ymm6 + andnl %eax,%r10d,%r12d + xorl %r15d,%r13d + rorxl $6,%r10d,%r14d + vpshufb %ymm8,%ymm6,%ymm6 + leal (%rbx,%r12,1),%ebx + xorl %r14d,%r13d + movl %ecx,%r15d + vpaddd %ymm6,%ymm3,%ymm3 + rorxl $22,%ecx,%r12d + leal (%rbx,%r13,1),%ebx + xorl %edx,%r15d + vpshufd $80,%ymm3,%ymm7 + rorxl $13,%ecx,%r14d + rorxl $2,%ecx,%r13d + leal (%r9,%rbx,1),%r9d + vpsrld $10,%ymm7,%ymm6 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %edx,%edi + vpsrlq $17,%ymm7,%ymm7 + xorl %r13d,%r14d + leal (%rbx,%rdi,1),%ebx + movl %r10d,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 44+128(%rsp),%eax + andl %r9d,%r12d + rorxl $25,%r9d,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%r9d,%edi + leal (%rbx,%r14,1),%ebx + leal (%rax,%r12,1),%eax + vpxor %ymm7,%ymm6,%ymm6 + andnl %r11d,%r9d,%r12d + xorl %edi,%r13d + rorxl $6,%r9d,%r14d + vpshufb %ymm9,%ymm6,%ymm6 + leal (%rax,%r12,1),%eax + xorl %r14d,%r13d + movl %ebx,%edi + vpaddd %ymm6,%ymm3,%ymm3 + rorxl $22,%ebx,%r12d + leal (%rax,%r13,1),%eax + xorl %ecx,%edi + vpaddd 96(%rsi),%ymm3,%ymm6 + rorxl $13,%ebx,%r14d + rorxl $2,%ebx,%r13d + leal (%r8,%rax,1),%r8d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %ecx,%r15d + xorl %r13d,%r14d + leal (%rax,%r15,1),%eax + movl %r9d,%r12d + vmovdqa %ymm6,32(%rsp) + leaq 128(%rsi),%rsi + cmpb $0,3(%rsi) + jne L$avx2_00_47 + addl 0+64(%rsp),%r11d + andl %r8d,%r12d + rorxl $25,%r8d,%r13d + rorxl $11,%r8d,%r15d + leal (%rax,%r14,1),%eax + leal (%r11,%r12,1),%r11d + andnl %r10d,%r8d,%r12d + xorl %r15d,%r13d + rorxl $6,%r8d,%r14d + leal (%r11,%r12,1),%r11d + xorl %r14d,%r13d + movl %eax,%r15d + rorxl $22,%eax,%r12d + leal (%r11,%r13,1),%r11d + xorl %ebx,%r15d + rorxl $13,%eax,%r14d + rorxl $2,%eax,%r13d + leal (%rdx,%r11,1),%edx + andl %r15d,%edi + xorl %r12d,%r14d + xorl %ebx,%edi + xorl %r13d,%r14d + leal (%r11,%rdi,1),%r11d + movl %r8d,%r12d + addl 4+64(%rsp),%r10d + andl %edx,%r12d + rorxl $25,%edx,%r13d + rorxl $11,%edx,%edi + leal (%r11,%r14,1),%r11d + leal (%r10,%r12,1),%r10d + andnl %r9d,%edx,%r12d + xorl %edi,%r13d + rorxl $6,%edx,%r14d + leal (%r10,%r12,1),%r10d + xorl %r14d,%r13d + movl %r11d,%edi + rorxl $22,%r11d,%r12d + leal (%r10,%r13,1),%r10d + xorl %eax,%edi + rorxl $13,%r11d,%r14d + rorxl $2,%r11d,%r13d + leal (%rcx,%r10,1),%ecx + andl %edi,%r15d + xorl %r12d,%r14d + xorl %eax,%r15d + xorl %r13d,%r14d + leal (%r10,%r15,1),%r10d + movl %edx,%r12d + addl 8+64(%rsp),%r9d + andl %ecx,%r12d + rorxl $25,%ecx,%r13d + rorxl $11,%ecx,%r15d + leal (%r10,%r14,1),%r10d + leal (%r9,%r12,1),%r9d + andnl %r8d,%ecx,%r12d + xorl %r15d,%r13d + rorxl $6,%ecx,%r14d + leal (%r9,%r12,1),%r9d + xorl %r14d,%r13d + movl %r10d,%r15d + rorxl $22,%r10d,%r12d + leal (%r9,%r13,1),%r9d + xorl %r11d,%r15d + rorxl $13,%r10d,%r14d + rorxl $2,%r10d,%r13d + leal (%rbx,%r9,1),%ebx + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r11d,%edi + xorl %r13d,%r14d + leal (%r9,%rdi,1),%r9d + movl %ecx,%r12d + addl 12+64(%rsp),%r8d + andl %ebx,%r12d + rorxl $25,%ebx,%r13d + rorxl $11,%ebx,%edi + leal (%r9,%r14,1),%r9d + leal (%r8,%r12,1),%r8d + andnl %edx,%ebx,%r12d + xorl %edi,%r13d + rorxl $6,%ebx,%r14d + leal (%r8,%r12,1),%r8d + xorl %r14d,%r13d + movl %r9d,%edi + rorxl $22,%r9d,%r12d + leal (%r8,%r13,1),%r8d + xorl %r10d,%edi + rorxl $13,%r9d,%r14d + rorxl $2,%r9d,%r13d + leal (%rax,%r8,1),%eax + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r10d,%r15d + xorl %r13d,%r14d + leal (%r8,%r15,1),%r8d + movl %ebx,%r12d + addl 32+64(%rsp),%edx + andl %eax,%r12d + rorxl $25,%eax,%r13d + rorxl $11,%eax,%r15d + leal (%r8,%r14,1),%r8d + leal (%rdx,%r12,1),%edx + andnl %ecx,%eax,%r12d + xorl %r15d,%r13d + rorxl $6,%eax,%r14d + leal (%rdx,%r12,1),%edx + xorl %r14d,%r13d + movl %r8d,%r15d + rorxl $22,%r8d,%r12d + leal (%rdx,%r13,1),%edx + xorl %r9d,%r15d + rorxl $13,%r8d,%r14d + rorxl $2,%r8d,%r13d + leal (%r11,%rdx,1),%r11d + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r9d,%edi + xorl %r13d,%r14d + leal (%rdx,%rdi,1),%edx + movl %eax,%r12d + addl 36+64(%rsp),%ecx + andl %r11d,%r12d + rorxl $25,%r11d,%r13d + rorxl $11,%r11d,%edi + leal (%rdx,%r14,1),%edx + leal (%rcx,%r12,1),%ecx + andnl %ebx,%r11d,%r12d + xorl %edi,%r13d + rorxl $6,%r11d,%r14d + leal (%rcx,%r12,1),%ecx + xorl %r14d,%r13d + movl %edx,%edi + rorxl $22,%edx,%r12d + leal (%rcx,%r13,1),%ecx + xorl %r8d,%edi + rorxl $13,%edx,%r14d + rorxl $2,%edx,%r13d + leal (%r10,%rcx,1),%r10d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r8d,%r15d + xorl %r13d,%r14d + leal (%rcx,%r15,1),%ecx + movl %r11d,%r12d + addl 40+64(%rsp),%ebx + andl %r10d,%r12d + rorxl $25,%r10d,%r13d + rorxl $11,%r10d,%r15d + leal (%rcx,%r14,1),%ecx + leal (%rbx,%r12,1),%ebx + andnl %eax,%r10d,%r12d + xorl %r15d,%r13d + rorxl $6,%r10d,%r14d + leal (%rbx,%r12,1),%ebx + xorl %r14d,%r13d + movl %ecx,%r15d + rorxl $22,%ecx,%r12d + leal (%rbx,%r13,1),%ebx + xorl %edx,%r15d + rorxl $13,%ecx,%r14d + rorxl $2,%ecx,%r13d + leal (%r9,%rbx,1),%r9d + andl %r15d,%edi + xorl %r12d,%r14d + xorl %edx,%edi + xorl %r13d,%r14d + leal (%rbx,%rdi,1),%ebx + movl %r10d,%r12d + addl 44+64(%rsp),%eax + andl %r9d,%r12d + rorxl $25,%r9d,%r13d + rorxl $11,%r9d,%edi + leal (%rbx,%r14,1),%ebx + leal (%rax,%r12,1),%eax + andnl %r11d,%r9d,%r12d + xorl %edi,%r13d + rorxl $6,%r9d,%r14d + leal (%rax,%r12,1),%eax + xorl %r14d,%r13d + movl %ebx,%edi + rorxl $22,%ebx,%r12d + leal (%rax,%r13,1),%eax + xorl %ecx,%edi + rorxl $13,%ebx,%r14d + rorxl $2,%ebx,%r13d + leal (%r8,%rax,1),%r8d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %ecx,%r15d + xorl %r13d,%r14d + leal (%rax,%r15,1),%eax + movl %r9d,%r12d + addl 0(%rsp),%r11d + andl %r8d,%r12d + rorxl $25,%r8d,%r13d + rorxl $11,%r8d,%r15d + leal (%rax,%r14,1),%eax + leal (%r11,%r12,1),%r11d + andnl %r10d,%r8d,%r12d + xorl %r15d,%r13d + rorxl $6,%r8d,%r14d + leal (%r11,%r12,1),%r11d + xorl %r14d,%r13d + movl %eax,%r15d + rorxl $22,%eax,%r12d + leal (%r11,%r13,1),%r11d + xorl %ebx,%r15d + rorxl $13,%eax,%r14d + rorxl $2,%eax,%r13d + leal (%rdx,%r11,1),%edx + andl %r15d,%edi + xorl %r12d,%r14d + xorl %ebx,%edi + xorl %r13d,%r14d + leal (%r11,%rdi,1),%r11d + movl %r8d,%r12d + addl 4(%rsp),%r10d + andl %edx,%r12d + rorxl $25,%edx,%r13d + rorxl $11,%edx,%edi + leal (%r11,%r14,1),%r11d + leal (%r10,%r12,1),%r10d + andnl %r9d,%edx,%r12d + xorl %edi,%r13d + rorxl $6,%edx,%r14d + leal (%r10,%r12,1),%r10d + xorl %r14d,%r13d + movl %r11d,%edi + rorxl $22,%r11d,%r12d + leal (%r10,%r13,1),%r10d + xorl %eax,%edi + rorxl $13,%r11d,%r14d + rorxl $2,%r11d,%r13d + leal (%rcx,%r10,1),%ecx + andl %edi,%r15d + xorl %r12d,%r14d + xorl %eax,%r15d + xorl %r13d,%r14d + leal (%r10,%r15,1),%r10d + movl %edx,%r12d + addl 8(%rsp),%r9d + andl %ecx,%r12d + rorxl $25,%ecx,%r13d + rorxl $11,%ecx,%r15d + leal (%r10,%r14,1),%r10d + leal (%r9,%r12,1),%r9d + andnl %r8d,%ecx,%r12d + xorl %r15d,%r13d + rorxl $6,%ecx,%r14d + leal (%r9,%r12,1),%r9d + xorl %r14d,%r13d + movl %r10d,%r15d + rorxl $22,%r10d,%r12d + leal (%r9,%r13,1),%r9d + xorl %r11d,%r15d + rorxl $13,%r10d,%r14d + rorxl $2,%r10d,%r13d + leal (%rbx,%r9,1),%ebx + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r11d,%edi + xorl %r13d,%r14d + leal (%r9,%rdi,1),%r9d + movl %ecx,%r12d + addl 12(%rsp),%r8d + andl %ebx,%r12d + rorxl $25,%ebx,%r13d + rorxl $11,%ebx,%edi + leal (%r9,%r14,1),%r9d + leal (%r8,%r12,1),%r8d + andnl %edx,%ebx,%r12d + xorl %edi,%r13d + rorxl $6,%ebx,%r14d + leal (%r8,%r12,1),%r8d + xorl %r14d,%r13d + movl %r9d,%edi + rorxl $22,%r9d,%r12d + leal (%r8,%r13,1),%r8d + xorl %r10d,%edi + rorxl $13,%r9d,%r14d + rorxl $2,%r9d,%r13d + leal (%rax,%r8,1),%eax + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r10d,%r15d + xorl %r13d,%r14d + leal (%r8,%r15,1),%r8d + movl %ebx,%r12d + addl 32(%rsp),%edx + andl %eax,%r12d + rorxl $25,%eax,%r13d + rorxl $11,%eax,%r15d + leal (%r8,%r14,1),%r8d + leal (%rdx,%r12,1),%edx + andnl %ecx,%eax,%r12d + xorl %r15d,%r13d + rorxl $6,%eax,%r14d + leal (%rdx,%r12,1),%edx + xorl %r14d,%r13d + movl %r8d,%r15d + rorxl $22,%r8d,%r12d + leal (%rdx,%r13,1),%edx + xorl %r9d,%r15d + rorxl $13,%r8d,%r14d + rorxl $2,%r8d,%r13d + leal (%r11,%rdx,1),%r11d + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r9d,%edi + xorl %r13d,%r14d + leal (%rdx,%rdi,1),%edx + movl %eax,%r12d + addl 36(%rsp),%ecx + andl %r11d,%r12d + rorxl $25,%r11d,%r13d + rorxl $11,%r11d,%edi + leal (%rdx,%r14,1),%edx + leal (%rcx,%r12,1),%ecx + andnl %ebx,%r11d,%r12d + xorl %edi,%r13d + rorxl $6,%r11d,%r14d + leal (%rcx,%r12,1),%ecx + xorl %r14d,%r13d + movl %edx,%edi + rorxl $22,%edx,%r12d + leal (%rcx,%r13,1),%ecx + xorl %r8d,%edi + rorxl $13,%edx,%r14d + rorxl $2,%edx,%r13d + leal (%r10,%rcx,1),%r10d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r8d,%r15d + xorl %r13d,%r14d + leal (%rcx,%r15,1),%ecx + movl %r11d,%r12d + addl 40(%rsp),%ebx + andl %r10d,%r12d + rorxl $25,%r10d,%r13d + rorxl $11,%r10d,%r15d + leal (%rcx,%r14,1),%ecx + leal (%rbx,%r12,1),%ebx + andnl %eax,%r10d,%r12d + xorl %r15d,%r13d + rorxl $6,%r10d,%r14d + leal (%rbx,%r12,1),%ebx + xorl %r14d,%r13d + movl %ecx,%r15d + rorxl $22,%ecx,%r12d + leal (%rbx,%r13,1),%ebx + xorl %edx,%r15d + rorxl $13,%ecx,%r14d + rorxl $2,%ecx,%r13d + leal (%r9,%rbx,1),%r9d + andl %r15d,%edi + xorl %r12d,%r14d + xorl %edx,%edi + xorl %r13d,%r14d + leal (%rbx,%rdi,1),%ebx + movl %r10d,%r12d + addl 44(%rsp),%eax + andl %r9d,%r12d + rorxl $25,%r9d,%r13d + rorxl $11,%r9d,%edi + leal (%rbx,%r14,1),%ebx + leal (%rax,%r12,1),%eax + andnl %r11d,%r9d,%r12d + xorl %edi,%r13d + rorxl $6,%r9d,%r14d + leal (%rax,%r12,1),%eax + xorl %r14d,%r13d + movl %ebx,%edi + rorxl $22,%ebx,%r12d + leal (%rax,%r13,1),%eax + xorl %ecx,%edi + rorxl $13,%ebx,%r14d + rorxl $2,%ebx,%r13d + leal (%r8,%rax,1),%r8d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %ecx,%r15d + xorl %r13d,%r14d + leal (%rax,%r15,1),%eax + movl %r9d,%r12d + movq -64(%rbp),%rdi + addl %r14d,%eax + movl -56(%rbp),%r12d + + addl 0(%rdi),%eax + addl 4(%rdi),%ebx + addl 8(%rdi),%ecx + addl 12(%rdi),%edx + addl 16(%rdi),%r8d + addl 20(%rdi),%r9d + addl 24(%rdi),%r10d + addl 28(%rdi),%r11d + + movl %eax,0(%rdi) + movl %ebx,4(%rdi) + movl %ecx,8(%rdi) + movl %edx,12(%rdi) + movl %r8d,16(%rdi) + movl %r9d,20(%rdi) + movl %r10d,24(%rdi) + movl %r11d,28(%rdi) + + cmpl -48(%rbp),%r12d + je L$done_avx2 + + leaq 448(%rsp),%rsi + xorl %r14d,%r14d + movl %ebx,%edi + xorl %ecx,%edi + movl %r9d,%r12d + jmp L$ower_avx2 +.p2align 4 +L$ower_avx2: + addl 0+16(%rsi),%r11d + andl %r8d,%r12d + rorxl $25,%r8d,%r13d + rorxl $11,%r8d,%r15d + leal (%rax,%r14,1),%eax + leal (%r11,%r12,1),%r11d + andnl %r10d,%r8d,%r12d + xorl %r15d,%r13d + rorxl $6,%r8d,%r14d + leal (%r11,%r12,1),%r11d + xorl %r14d,%r13d + movl %eax,%r15d + rorxl $22,%eax,%r12d + leal (%r11,%r13,1),%r11d + xorl %ebx,%r15d + rorxl $13,%eax,%r14d + rorxl $2,%eax,%r13d + leal (%rdx,%r11,1),%edx + andl %r15d,%edi + xorl %r12d,%r14d + xorl %ebx,%edi + xorl %r13d,%r14d + leal (%r11,%rdi,1),%r11d + movl %r8d,%r12d + addl 4+16(%rsi),%r10d + andl %edx,%r12d + rorxl $25,%edx,%r13d + rorxl $11,%edx,%edi + leal (%r11,%r14,1),%r11d + leal (%r10,%r12,1),%r10d + andnl %r9d,%edx,%r12d + xorl %edi,%r13d + rorxl $6,%edx,%r14d + leal (%r10,%r12,1),%r10d + xorl %r14d,%r13d + movl %r11d,%edi + rorxl $22,%r11d,%r12d + leal (%r10,%r13,1),%r10d + xorl %eax,%edi + rorxl $13,%r11d,%r14d + rorxl $2,%r11d,%r13d + leal (%rcx,%r10,1),%ecx + andl %edi,%r15d + xorl %r12d,%r14d + xorl %eax,%r15d + xorl %r13d,%r14d + leal (%r10,%r15,1),%r10d + movl %edx,%r12d + addl 8+16(%rsi),%r9d + andl %ecx,%r12d + rorxl $25,%ecx,%r13d + rorxl $11,%ecx,%r15d + leal (%r10,%r14,1),%r10d + leal (%r9,%r12,1),%r9d + andnl %r8d,%ecx,%r12d + xorl %r15d,%r13d + rorxl $6,%ecx,%r14d + leal (%r9,%r12,1),%r9d + xorl %r14d,%r13d + movl %r10d,%r15d + rorxl $22,%r10d,%r12d + leal (%r9,%r13,1),%r9d + xorl %r11d,%r15d + rorxl $13,%r10d,%r14d + rorxl $2,%r10d,%r13d + leal (%rbx,%r9,1),%ebx + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r11d,%edi + xorl %r13d,%r14d + leal (%r9,%rdi,1),%r9d + movl %ecx,%r12d + addl 12+16(%rsi),%r8d + andl %ebx,%r12d + rorxl $25,%ebx,%r13d + rorxl $11,%ebx,%edi + leal (%r9,%r14,1),%r9d + leal (%r8,%r12,1),%r8d + andnl %edx,%ebx,%r12d + xorl %edi,%r13d + rorxl $6,%ebx,%r14d + leal (%r8,%r12,1),%r8d + xorl %r14d,%r13d + movl %r9d,%edi + rorxl $22,%r9d,%r12d + leal (%r8,%r13,1),%r8d + xorl %r10d,%edi + rorxl $13,%r9d,%r14d + rorxl $2,%r9d,%r13d + leal (%rax,%r8,1),%eax + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r10d,%r15d + xorl %r13d,%r14d + leal (%r8,%r15,1),%r8d + movl %ebx,%r12d + addl 32+16(%rsi),%edx + andl %eax,%r12d + rorxl $25,%eax,%r13d + rorxl $11,%eax,%r15d + leal (%r8,%r14,1),%r8d + leal (%rdx,%r12,1),%edx + andnl %ecx,%eax,%r12d + xorl %r15d,%r13d + rorxl $6,%eax,%r14d + leal (%rdx,%r12,1),%edx + xorl %r14d,%r13d + movl %r8d,%r15d + rorxl $22,%r8d,%r12d + leal (%rdx,%r13,1),%edx + xorl %r9d,%r15d + rorxl $13,%r8d,%r14d + rorxl $2,%r8d,%r13d + leal (%r11,%rdx,1),%r11d + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r9d,%edi + xorl %r13d,%r14d + leal (%rdx,%rdi,1),%edx + movl %eax,%r12d + addl 36+16(%rsi),%ecx + andl %r11d,%r12d + rorxl $25,%r11d,%r13d + rorxl $11,%r11d,%edi + leal (%rdx,%r14,1),%edx + leal (%rcx,%r12,1),%ecx + andnl %ebx,%r11d,%r12d + xorl %edi,%r13d + rorxl $6,%r11d,%r14d + leal (%rcx,%r12,1),%ecx + xorl %r14d,%r13d + movl %edx,%edi + rorxl $22,%edx,%r12d + leal (%rcx,%r13,1),%ecx + xorl %r8d,%edi + rorxl $13,%edx,%r14d + rorxl $2,%edx,%r13d + leal (%r10,%rcx,1),%r10d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r8d,%r15d + xorl %r13d,%r14d + leal (%rcx,%r15,1),%ecx + movl %r11d,%r12d + addl 40+16(%rsi),%ebx + andl %r10d,%r12d + rorxl $25,%r10d,%r13d + rorxl $11,%r10d,%r15d + leal (%rcx,%r14,1),%ecx + leal (%rbx,%r12,1),%ebx + andnl %eax,%r10d,%r12d + xorl %r15d,%r13d + rorxl $6,%r10d,%r14d + leal (%rbx,%r12,1),%ebx + xorl %r14d,%r13d + movl %ecx,%r15d + rorxl $22,%ecx,%r12d + leal (%rbx,%r13,1),%ebx + xorl %edx,%r15d + rorxl $13,%ecx,%r14d + rorxl $2,%ecx,%r13d + leal (%r9,%rbx,1),%r9d + andl %r15d,%edi + xorl %r12d,%r14d + xorl %edx,%edi + xorl %r13d,%r14d + leal (%rbx,%rdi,1),%ebx + movl %r10d,%r12d + addl 44+16(%rsi),%eax + andl %r9d,%r12d + rorxl $25,%r9d,%r13d + rorxl $11,%r9d,%edi + leal (%rbx,%r14,1),%ebx + leal (%rax,%r12,1),%eax + andnl %r11d,%r9d,%r12d + xorl %edi,%r13d + rorxl $6,%r9d,%r14d + leal (%rax,%r12,1),%eax + xorl %r14d,%r13d + movl %ebx,%edi + rorxl $22,%ebx,%r12d + leal (%rax,%r13,1),%eax + xorl %ecx,%edi + rorxl $13,%ebx,%r14d + rorxl $2,%ebx,%r13d + leal (%r8,%rax,1),%r8d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %ecx,%r15d + xorl %r13d,%r14d + leal (%rax,%r15,1),%eax + movl %r9d,%r12d + leaq -64(%rsi),%rsi + cmpq %rsp,%rsi + jae L$ower_avx2 + + movq -64(%rbp),%rdi + addl %r14d,%eax + movq -56(%rbp),%rsi + leaq 448(%rsp),%rsp + + addl 0(%rdi),%eax + addl 4(%rdi),%ebx + addl 8(%rdi),%ecx + addl 12(%rdi),%edx + addl 16(%rdi),%r8d + addl 20(%rdi),%r9d + leaq 128(%rsi),%rsi + addl 24(%rdi),%r10d + movq %rsi,%r12 + addl 28(%rdi),%r11d + cmpq -48(%rbp),%rsi + + movl %eax,0(%rdi) + cmoveq %rsp,%r12 + movl %ebx,4(%rdi) + movl %ecx,8(%rdi) + movl %edx,12(%rdi) + movl %r8d,16(%rdi) + movl %r9d,20(%rdi) + movl %r10d,24(%rdi) + movl %r11d,28(%rdi) + + jbe L$oop_avx2 + +L$done_avx2: + vzeroupper + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp +.cfi_def_cfa_register %rsp + popq %rbp +.cfi_adjust_cfa_offset -8 +.cfi_restore %rbp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbx + .byte 0xf3,0xc3 +.cfi_endproc + diff --git a/cbits/asm/sha256-x86_64-mingw64.S b/cbits/asm/sha256-x86_64-mingw64.S new file mode 100644 --- /dev/null +++ b/cbits/asm/sha256-x86_64-mingw64.S @@ -0,0 +1,5731 @@ +.text + + +.globl crypton_sha256_asm_block_data_order +.def crypton_sha256_asm_block_data_order; .scl 2; .type 32; .endef +.p2align 4 +crypton_sha256_asm_block_data_order: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%r11 +.LSEH_begin_crypton_sha256_asm_block_data_order: + + + pushq %rbp + + movq %rsp,%rbp + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx + leaq crypton_ia32cap_P(%rip),%rax + movl 0(%rax),%r9d + movl 4(%rax),%r10d + movl 8(%rax),%eax + testl $536870912,%eax + jnz .Lshaext_shortcut + andl $296,%eax + cmpl $296,%eax + je .Lavx2_shortcut + andl $1073741824,%r9d + andl $268435968,%r10d + orl %r9d,%r10d + cmpl $1342177792,%r10d + je .Lavx_shortcut + testl $512,%r10d + jnz .Lssse3_shortcut + pushq %rbx + + pushq %r12 + + pushq %r13 + + pushq %r14 + + pushq %r15 + + shlq $4,%rdx + subq $64+24,%rsp + + +.LSEH_body_crypton_sha256_asm_block_data_order: + + leaq (%rsi,%rdx,4),%rdx + movq %rdi,64+0(%rsp) + movq %rsi,64+8(%rsp) + movq %rdx,64+16(%rsp) + + movl 0(%rdi),%eax + movl 4(%rdi),%ebx + movl 8(%rdi),%ecx + movl 12(%rdi),%edx + movl 16(%rdi),%r8d + movl 20(%rdi),%r9d + movl 24(%rdi),%r10d + movl 28(%rdi),%r11d + jmp .Lloop + +.p2align 4 +.Lloop: + movl %ebx,%edi + leaq K256(%rip),%rbp + xorl %ecx,%edi + movl 0(%rsi),%r12d + movl %r8d,%r13d + movl %eax,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r9d,%r15d + + xorl %r8d,%r13d + rorl $9,%r14d + xorl %r10d,%r15d + + movl %r12d,0(%rsp) + xorl %eax,%r14d + andl %r8d,%r15d + + rorl $5,%r13d + addl %r11d,%r12d + xorl %r10d,%r15d + + rorl $11,%r14d + xorl %r8d,%r13d + addl %r15d,%r12d + + movl %eax,%r15d + addl (%rbp),%r12d + xorl %eax,%r14d + + xorl %ebx,%r15d + rorl $6,%r13d + movl %ebx,%r11d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r11d + addl %r12d,%edx + addl %r12d,%r11d + + leaq 4(%rbp),%rbp + addl %r14d,%r11d + movl 4(%rsi),%r12d + movl %edx,%r13d + movl %r11d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r8d,%edi + + xorl %edx,%r13d + rorl $9,%r14d + xorl %r9d,%edi + + movl %r12d,4(%rsp) + xorl %r11d,%r14d + andl %edx,%edi + + rorl $5,%r13d + addl %r10d,%r12d + xorl %r9d,%edi + + rorl $11,%r14d + xorl %edx,%r13d + addl %edi,%r12d + + movl %r11d,%edi + addl (%rbp),%r12d + xorl %r11d,%r14d + + xorl %eax,%edi + rorl $6,%r13d + movl %eax,%r10d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r10d + addl %r12d,%ecx + addl %r12d,%r10d + + leaq 4(%rbp),%rbp + addl %r14d,%r10d + movl 8(%rsi),%r12d + movl %ecx,%r13d + movl %r10d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %edx,%r15d + + xorl %ecx,%r13d + rorl $9,%r14d + xorl %r8d,%r15d + + movl %r12d,8(%rsp) + xorl %r10d,%r14d + andl %ecx,%r15d + + rorl $5,%r13d + addl %r9d,%r12d + xorl %r8d,%r15d + + rorl $11,%r14d + xorl %ecx,%r13d + addl %r15d,%r12d + + movl %r10d,%r15d + addl (%rbp),%r12d + xorl %r10d,%r14d + + xorl %r11d,%r15d + rorl $6,%r13d + movl %r11d,%r9d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r9d + addl %r12d,%ebx + addl %r12d,%r9d + + leaq 4(%rbp),%rbp + addl %r14d,%r9d + movl 12(%rsi),%r12d + movl %ebx,%r13d + movl %r9d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %ecx,%edi + + xorl %ebx,%r13d + rorl $9,%r14d + xorl %edx,%edi + + movl %r12d,12(%rsp) + xorl %r9d,%r14d + andl %ebx,%edi + + rorl $5,%r13d + addl %r8d,%r12d + xorl %edx,%edi + + rorl $11,%r14d + xorl %ebx,%r13d + addl %edi,%r12d + + movl %r9d,%edi + addl (%rbp),%r12d + xorl %r9d,%r14d + + xorl %r10d,%edi + rorl $6,%r13d + movl %r10d,%r8d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r8d + addl %r12d,%eax + addl %r12d,%r8d + + leaq 20(%rbp),%rbp + addl %r14d,%r8d + movl 16(%rsi),%r12d + movl %eax,%r13d + movl %r8d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %ebx,%r15d + + xorl %eax,%r13d + rorl $9,%r14d + xorl %ecx,%r15d + + movl %r12d,16(%rsp) + xorl %r8d,%r14d + andl %eax,%r15d + + rorl $5,%r13d + addl %edx,%r12d + xorl %ecx,%r15d + + rorl $11,%r14d + xorl %eax,%r13d + addl %r15d,%r12d + + movl %r8d,%r15d + addl (%rbp),%r12d + xorl %r8d,%r14d + + xorl %r9d,%r15d + rorl $6,%r13d + movl %r9d,%edx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%edx + addl %r12d,%r11d + addl %r12d,%edx + + leaq 4(%rbp),%rbp + addl %r14d,%edx + movl 20(%rsi),%r12d + movl %r11d,%r13d + movl %edx,%r14d + bswapl %r12d + rorl $14,%r13d + movl %eax,%edi + + xorl %r11d,%r13d + rorl $9,%r14d + xorl %ebx,%edi + + movl %r12d,20(%rsp) + xorl %edx,%r14d + andl %r11d,%edi + + rorl $5,%r13d + addl %ecx,%r12d + xorl %ebx,%edi + + rorl $11,%r14d + xorl %r11d,%r13d + addl %edi,%r12d + + movl %edx,%edi + addl (%rbp),%r12d + xorl %edx,%r14d + + xorl %r8d,%edi + rorl $6,%r13d + movl %r8d,%ecx + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%ecx + addl %r12d,%r10d + addl %r12d,%ecx + + leaq 4(%rbp),%rbp + addl %r14d,%ecx + movl 24(%rsi),%r12d + movl %r10d,%r13d + movl %ecx,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r11d,%r15d + + xorl %r10d,%r13d + rorl $9,%r14d + xorl %eax,%r15d + + movl %r12d,24(%rsp) + xorl %ecx,%r14d + andl %r10d,%r15d + + rorl $5,%r13d + addl %ebx,%r12d + xorl %eax,%r15d + + rorl $11,%r14d + xorl %r10d,%r13d + addl %r15d,%r12d + + movl %ecx,%r15d + addl (%rbp),%r12d + xorl %ecx,%r14d + + xorl %edx,%r15d + rorl $6,%r13d + movl %edx,%ebx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%ebx + addl %r12d,%r9d + addl %r12d,%ebx + + leaq 4(%rbp),%rbp + addl %r14d,%ebx + movl 28(%rsi),%r12d + movl %r9d,%r13d + movl %ebx,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r10d,%edi + + xorl %r9d,%r13d + rorl $9,%r14d + xorl %r11d,%edi + + movl %r12d,28(%rsp) + xorl %ebx,%r14d + andl %r9d,%edi + + rorl $5,%r13d + addl %eax,%r12d + xorl %r11d,%edi + + rorl $11,%r14d + xorl %r9d,%r13d + addl %edi,%r12d + + movl %ebx,%edi + addl (%rbp),%r12d + xorl %ebx,%r14d + + xorl %ecx,%edi + rorl $6,%r13d + movl %ecx,%eax + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%eax + addl %r12d,%r8d + addl %r12d,%eax + + leaq 20(%rbp),%rbp + addl %r14d,%eax + movl 32(%rsi),%r12d + movl %r8d,%r13d + movl %eax,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r9d,%r15d + + xorl %r8d,%r13d + rorl $9,%r14d + xorl %r10d,%r15d + + movl %r12d,32(%rsp) + xorl %eax,%r14d + andl %r8d,%r15d + + rorl $5,%r13d + addl %r11d,%r12d + xorl %r10d,%r15d + + rorl $11,%r14d + xorl %r8d,%r13d + addl %r15d,%r12d + + movl %eax,%r15d + addl (%rbp),%r12d + xorl %eax,%r14d + + xorl %ebx,%r15d + rorl $6,%r13d + movl %ebx,%r11d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r11d + addl %r12d,%edx + addl %r12d,%r11d + + leaq 4(%rbp),%rbp + addl %r14d,%r11d + movl 36(%rsi),%r12d + movl %edx,%r13d + movl %r11d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r8d,%edi + + xorl %edx,%r13d + rorl $9,%r14d + xorl %r9d,%edi + + movl %r12d,36(%rsp) + xorl %r11d,%r14d + andl %edx,%edi + + rorl $5,%r13d + addl %r10d,%r12d + xorl %r9d,%edi + + rorl $11,%r14d + xorl %edx,%r13d + addl %edi,%r12d + + movl %r11d,%edi + addl (%rbp),%r12d + xorl %r11d,%r14d + + xorl %eax,%edi + rorl $6,%r13d + movl %eax,%r10d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r10d + addl %r12d,%ecx + addl %r12d,%r10d + + leaq 4(%rbp),%rbp + addl %r14d,%r10d + movl 40(%rsi),%r12d + movl %ecx,%r13d + movl %r10d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %edx,%r15d + + xorl %ecx,%r13d + rorl $9,%r14d + xorl %r8d,%r15d + + movl %r12d,40(%rsp) + xorl %r10d,%r14d + andl %ecx,%r15d + + rorl $5,%r13d + addl %r9d,%r12d + xorl %r8d,%r15d + + rorl $11,%r14d + xorl %ecx,%r13d + addl %r15d,%r12d + + movl %r10d,%r15d + addl (%rbp),%r12d + xorl %r10d,%r14d + + xorl %r11d,%r15d + rorl $6,%r13d + movl %r11d,%r9d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r9d + addl %r12d,%ebx + addl %r12d,%r9d + + leaq 4(%rbp),%rbp + addl %r14d,%r9d + movl 44(%rsi),%r12d + movl %ebx,%r13d + movl %r9d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %ecx,%edi + + xorl %ebx,%r13d + rorl $9,%r14d + xorl %edx,%edi + + movl %r12d,44(%rsp) + xorl %r9d,%r14d + andl %ebx,%edi + + rorl $5,%r13d + addl %r8d,%r12d + xorl %edx,%edi + + rorl $11,%r14d + xorl %ebx,%r13d + addl %edi,%r12d + + movl %r9d,%edi + addl (%rbp),%r12d + xorl %r9d,%r14d + + xorl %r10d,%edi + rorl $6,%r13d + movl %r10d,%r8d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r8d + addl %r12d,%eax + addl %r12d,%r8d + + leaq 20(%rbp),%rbp + addl %r14d,%r8d + movl 48(%rsi),%r12d + movl %eax,%r13d + movl %r8d,%r14d + bswapl %r12d + rorl $14,%r13d + movl %ebx,%r15d + + xorl %eax,%r13d + rorl $9,%r14d + xorl %ecx,%r15d + + movl %r12d,48(%rsp) + xorl %r8d,%r14d + andl %eax,%r15d + + rorl $5,%r13d + addl %edx,%r12d + xorl %ecx,%r15d + + rorl $11,%r14d + xorl %eax,%r13d + addl %r15d,%r12d + + movl %r8d,%r15d + addl (%rbp),%r12d + xorl %r8d,%r14d + + xorl %r9d,%r15d + rorl $6,%r13d + movl %r9d,%edx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%edx + addl %r12d,%r11d + addl %r12d,%edx + + leaq 4(%rbp),%rbp + addl %r14d,%edx + movl 52(%rsi),%r12d + movl %r11d,%r13d + movl %edx,%r14d + bswapl %r12d + rorl $14,%r13d + movl %eax,%edi + + xorl %r11d,%r13d + rorl $9,%r14d + xorl %ebx,%edi + + movl %r12d,52(%rsp) + xorl %edx,%r14d + andl %r11d,%edi + + rorl $5,%r13d + addl %ecx,%r12d + xorl %ebx,%edi + + rorl $11,%r14d + xorl %r11d,%r13d + addl %edi,%r12d + + movl %edx,%edi + addl (%rbp),%r12d + xorl %edx,%r14d + + xorl %r8d,%edi + rorl $6,%r13d + movl %r8d,%ecx + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%ecx + addl %r12d,%r10d + addl %r12d,%ecx + + leaq 4(%rbp),%rbp + addl %r14d,%ecx + movl 56(%rsi),%r12d + movl %r10d,%r13d + movl %ecx,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r11d,%r15d + + xorl %r10d,%r13d + rorl $9,%r14d + xorl %eax,%r15d + + movl %r12d,56(%rsp) + xorl %ecx,%r14d + andl %r10d,%r15d + + rorl $5,%r13d + addl %ebx,%r12d + xorl %eax,%r15d + + rorl $11,%r14d + xorl %r10d,%r13d + addl %r15d,%r12d + + movl %ecx,%r15d + addl (%rbp),%r12d + xorl %ecx,%r14d + + xorl %edx,%r15d + rorl $6,%r13d + movl %edx,%ebx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%ebx + addl %r12d,%r9d + addl %r12d,%ebx + + leaq 4(%rbp),%rbp + addl %r14d,%ebx + movl 60(%rsi),%r12d + movl %r9d,%r13d + movl %ebx,%r14d + bswapl %r12d + rorl $14,%r13d + movl %r10d,%edi + + xorl %r9d,%r13d + rorl $9,%r14d + xorl %r11d,%edi + + movl %r12d,60(%rsp) + xorl %ebx,%r14d + andl %r9d,%edi + + rorl $5,%r13d + addl %eax,%r12d + xorl %r11d,%edi + + rorl $11,%r14d + xorl %r9d,%r13d + addl %edi,%r12d + + movl %ebx,%edi + addl (%rbp),%r12d + xorl %ebx,%r14d + + xorl %ecx,%edi + rorl $6,%r13d + movl %ecx,%eax + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%eax + addl %r12d,%r8d + addl %r12d,%eax + + leaq 20(%rbp),%rbp + jmp .Lrounds_16_xx +.p2align 4 +.Lrounds_16_xx: + movl 4(%rsp),%r13d + movl 56(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%eax + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 36(%rsp),%r12d + + addl 0(%rsp),%r12d + movl %r8d,%r13d + addl %r15d,%r12d + movl %eax,%r14d + rorl $14,%r13d + movl %r9d,%r15d + + xorl %r8d,%r13d + rorl $9,%r14d + xorl %r10d,%r15d + + movl %r12d,0(%rsp) + xorl %eax,%r14d + andl %r8d,%r15d + + rorl $5,%r13d + addl %r11d,%r12d + xorl %r10d,%r15d + + rorl $11,%r14d + xorl %r8d,%r13d + addl %r15d,%r12d + + movl %eax,%r15d + addl (%rbp),%r12d + xorl %eax,%r14d + + xorl %ebx,%r15d + rorl $6,%r13d + movl %ebx,%r11d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r11d + addl %r12d,%edx + addl %r12d,%r11d + + leaq 4(%rbp),%rbp + movl 8(%rsp),%r13d + movl 60(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r11d + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 40(%rsp),%r12d + + addl 4(%rsp),%r12d + movl %edx,%r13d + addl %edi,%r12d + movl %r11d,%r14d + rorl $14,%r13d + movl %r8d,%edi + + xorl %edx,%r13d + rorl $9,%r14d + xorl %r9d,%edi + + movl %r12d,4(%rsp) + xorl %r11d,%r14d + andl %edx,%edi + + rorl $5,%r13d + addl %r10d,%r12d + xorl %r9d,%edi + + rorl $11,%r14d + xorl %edx,%r13d + addl %edi,%r12d + + movl %r11d,%edi + addl (%rbp),%r12d + xorl %r11d,%r14d + + xorl %eax,%edi + rorl $6,%r13d + movl %eax,%r10d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r10d + addl %r12d,%ecx + addl %r12d,%r10d + + leaq 4(%rbp),%rbp + movl 12(%rsp),%r13d + movl 0(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r10d + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 44(%rsp),%r12d + + addl 8(%rsp),%r12d + movl %ecx,%r13d + addl %r15d,%r12d + movl %r10d,%r14d + rorl $14,%r13d + movl %edx,%r15d + + xorl %ecx,%r13d + rorl $9,%r14d + xorl %r8d,%r15d + + movl %r12d,8(%rsp) + xorl %r10d,%r14d + andl %ecx,%r15d + + rorl $5,%r13d + addl %r9d,%r12d + xorl %r8d,%r15d + + rorl $11,%r14d + xorl %ecx,%r13d + addl %r15d,%r12d + + movl %r10d,%r15d + addl (%rbp),%r12d + xorl %r10d,%r14d + + xorl %r11d,%r15d + rorl $6,%r13d + movl %r11d,%r9d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r9d + addl %r12d,%ebx + addl %r12d,%r9d + + leaq 4(%rbp),%rbp + movl 16(%rsp),%r13d + movl 4(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r9d + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 48(%rsp),%r12d + + addl 12(%rsp),%r12d + movl %ebx,%r13d + addl %edi,%r12d + movl %r9d,%r14d + rorl $14,%r13d + movl %ecx,%edi + + xorl %ebx,%r13d + rorl $9,%r14d + xorl %edx,%edi + + movl %r12d,12(%rsp) + xorl %r9d,%r14d + andl %ebx,%edi + + rorl $5,%r13d + addl %r8d,%r12d + xorl %edx,%edi + + rorl $11,%r14d + xorl %ebx,%r13d + addl %edi,%r12d + + movl %r9d,%edi + addl (%rbp),%r12d + xorl %r9d,%r14d + + xorl %r10d,%edi + rorl $6,%r13d + movl %r10d,%r8d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r8d + addl %r12d,%eax + addl %r12d,%r8d + + leaq 20(%rbp),%rbp + movl 20(%rsp),%r13d + movl 8(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r8d + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 52(%rsp),%r12d + + addl 16(%rsp),%r12d + movl %eax,%r13d + addl %r15d,%r12d + movl %r8d,%r14d + rorl $14,%r13d + movl %ebx,%r15d + + xorl %eax,%r13d + rorl $9,%r14d + xorl %ecx,%r15d + + movl %r12d,16(%rsp) + xorl %r8d,%r14d + andl %eax,%r15d + + rorl $5,%r13d + addl %edx,%r12d + xorl %ecx,%r15d + + rorl $11,%r14d + xorl %eax,%r13d + addl %r15d,%r12d + + movl %r8d,%r15d + addl (%rbp),%r12d + xorl %r8d,%r14d + + xorl %r9d,%r15d + rorl $6,%r13d + movl %r9d,%edx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%edx + addl %r12d,%r11d + addl %r12d,%edx + + leaq 4(%rbp),%rbp + movl 24(%rsp),%r13d + movl 12(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%edx + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 56(%rsp),%r12d + + addl 20(%rsp),%r12d + movl %r11d,%r13d + addl %edi,%r12d + movl %edx,%r14d + rorl $14,%r13d + movl %eax,%edi + + xorl %r11d,%r13d + rorl $9,%r14d + xorl %ebx,%edi + + movl %r12d,20(%rsp) + xorl %edx,%r14d + andl %r11d,%edi + + rorl $5,%r13d + addl %ecx,%r12d + xorl %ebx,%edi + + rorl $11,%r14d + xorl %r11d,%r13d + addl %edi,%r12d + + movl %edx,%edi + addl (%rbp),%r12d + xorl %edx,%r14d + + xorl %r8d,%edi + rorl $6,%r13d + movl %r8d,%ecx + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%ecx + addl %r12d,%r10d + addl %r12d,%ecx + + leaq 4(%rbp),%rbp + movl 28(%rsp),%r13d + movl 16(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%ecx + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 60(%rsp),%r12d + + addl 24(%rsp),%r12d + movl %r10d,%r13d + addl %r15d,%r12d + movl %ecx,%r14d + rorl $14,%r13d + movl %r11d,%r15d + + xorl %r10d,%r13d + rorl $9,%r14d + xorl %eax,%r15d + + movl %r12d,24(%rsp) + xorl %ecx,%r14d + andl %r10d,%r15d + + rorl $5,%r13d + addl %ebx,%r12d + xorl %eax,%r15d + + rorl $11,%r14d + xorl %r10d,%r13d + addl %r15d,%r12d + + movl %ecx,%r15d + addl (%rbp),%r12d + xorl %ecx,%r14d + + xorl %edx,%r15d + rorl $6,%r13d + movl %edx,%ebx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%ebx + addl %r12d,%r9d + addl %r12d,%ebx + + leaq 4(%rbp),%rbp + movl 32(%rsp),%r13d + movl 20(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%ebx + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 0(%rsp),%r12d + + addl 28(%rsp),%r12d + movl %r9d,%r13d + addl %edi,%r12d + movl %ebx,%r14d + rorl $14,%r13d + movl %r10d,%edi + + xorl %r9d,%r13d + rorl $9,%r14d + xorl %r11d,%edi + + movl %r12d,28(%rsp) + xorl %ebx,%r14d + andl %r9d,%edi + + rorl $5,%r13d + addl %eax,%r12d + xorl %r11d,%edi + + rorl $11,%r14d + xorl %r9d,%r13d + addl %edi,%r12d + + movl %ebx,%edi + addl (%rbp),%r12d + xorl %ebx,%r14d + + xorl %ecx,%edi + rorl $6,%r13d + movl %ecx,%eax + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%eax + addl %r12d,%r8d + addl %r12d,%eax + + leaq 20(%rbp),%rbp + movl 36(%rsp),%r13d + movl 24(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%eax + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 4(%rsp),%r12d + + addl 32(%rsp),%r12d + movl %r8d,%r13d + addl %r15d,%r12d + movl %eax,%r14d + rorl $14,%r13d + movl %r9d,%r15d + + xorl %r8d,%r13d + rorl $9,%r14d + xorl %r10d,%r15d + + movl %r12d,32(%rsp) + xorl %eax,%r14d + andl %r8d,%r15d + + rorl $5,%r13d + addl %r11d,%r12d + xorl %r10d,%r15d + + rorl $11,%r14d + xorl %r8d,%r13d + addl %r15d,%r12d + + movl %eax,%r15d + addl (%rbp),%r12d + xorl %eax,%r14d + + xorl %ebx,%r15d + rorl $6,%r13d + movl %ebx,%r11d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r11d + addl %r12d,%edx + addl %r12d,%r11d + + leaq 4(%rbp),%rbp + movl 40(%rsp),%r13d + movl 28(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r11d + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 8(%rsp),%r12d + + addl 36(%rsp),%r12d + movl %edx,%r13d + addl %edi,%r12d + movl %r11d,%r14d + rorl $14,%r13d + movl %r8d,%edi + + xorl %edx,%r13d + rorl $9,%r14d + xorl %r9d,%edi + + movl %r12d,36(%rsp) + xorl %r11d,%r14d + andl %edx,%edi + + rorl $5,%r13d + addl %r10d,%r12d + xorl %r9d,%edi + + rorl $11,%r14d + xorl %edx,%r13d + addl %edi,%r12d + + movl %r11d,%edi + addl (%rbp),%r12d + xorl %r11d,%r14d + + xorl %eax,%edi + rorl $6,%r13d + movl %eax,%r10d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r10d + addl %r12d,%ecx + addl %r12d,%r10d + + leaq 4(%rbp),%rbp + movl 44(%rsp),%r13d + movl 32(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r10d + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 12(%rsp),%r12d + + addl 40(%rsp),%r12d + movl %ecx,%r13d + addl %r15d,%r12d + movl %r10d,%r14d + rorl $14,%r13d + movl %edx,%r15d + + xorl %ecx,%r13d + rorl $9,%r14d + xorl %r8d,%r15d + + movl %r12d,40(%rsp) + xorl %r10d,%r14d + andl %ecx,%r15d + + rorl $5,%r13d + addl %r9d,%r12d + xorl %r8d,%r15d + + rorl $11,%r14d + xorl %ecx,%r13d + addl %r15d,%r12d + + movl %r10d,%r15d + addl (%rbp),%r12d + xorl %r10d,%r14d + + xorl %r11d,%r15d + rorl $6,%r13d + movl %r11d,%r9d + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%r9d + addl %r12d,%ebx + addl %r12d,%r9d + + leaq 4(%rbp),%rbp + movl 48(%rsp),%r13d + movl 36(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r9d + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 16(%rsp),%r12d + + addl 44(%rsp),%r12d + movl %ebx,%r13d + addl %edi,%r12d + movl %r9d,%r14d + rorl $14,%r13d + movl %ecx,%edi + + xorl %ebx,%r13d + rorl $9,%r14d + xorl %edx,%edi + + movl %r12d,44(%rsp) + xorl %r9d,%r14d + andl %ebx,%edi + + rorl $5,%r13d + addl %r8d,%r12d + xorl %edx,%edi + + rorl $11,%r14d + xorl %ebx,%r13d + addl %edi,%r12d + + movl %r9d,%edi + addl (%rbp),%r12d + xorl %r9d,%r14d + + xorl %r10d,%edi + rorl $6,%r13d + movl %r10d,%r8d + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%r8d + addl %r12d,%eax + addl %r12d,%r8d + + leaq 20(%rbp),%rbp + movl 52(%rsp),%r13d + movl 40(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%r8d + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 20(%rsp),%r12d + + addl 48(%rsp),%r12d + movl %eax,%r13d + addl %r15d,%r12d + movl %r8d,%r14d + rorl $14,%r13d + movl %ebx,%r15d + + xorl %eax,%r13d + rorl $9,%r14d + xorl %ecx,%r15d + + movl %r12d,48(%rsp) + xorl %r8d,%r14d + andl %eax,%r15d + + rorl $5,%r13d + addl %edx,%r12d + xorl %ecx,%r15d + + rorl $11,%r14d + xorl %eax,%r13d + addl %r15d,%r12d + + movl %r8d,%r15d + addl (%rbp),%r12d + xorl %r8d,%r14d + + xorl %r9d,%r15d + rorl $6,%r13d + movl %r9d,%edx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%edx + addl %r12d,%r11d + addl %r12d,%edx + + leaq 4(%rbp),%rbp + movl 56(%rsp),%r13d + movl 44(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%edx + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 24(%rsp),%r12d + + addl 52(%rsp),%r12d + movl %r11d,%r13d + addl %edi,%r12d + movl %edx,%r14d + rorl $14,%r13d + movl %eax,%edi + + xorl %r11d,%r13d + rorl $9,%r14d + xorl %ebx,%edi + + movl %r12d,52(%rsp) + xorl %edx,%r14d + andl %r11d,%edi + + rorl $5,%r13d + addl %ecx,%r12d + xorl %ebx,%edi + + rorl $11,%r14d + xorl %r11d,%r13d + addl %edi,%r12d + + movl %edx,%edi + addl (%rbp),%r12d + xorl %edx,%r14d + + xorl %r8d,%edi + rorl $6,%r13d + movl %r8d,%ecx + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%ecx + addl %r12d,%r10d + addl %r12d,%ecx + + leaq 4(%rbp),%rbp + movl 60(%rsp),%r13d + movl 48(%rsp),%r15d + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%ecx + movl %r15d,%r14d + rorl $2,%r15d + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%r15d + shrl $10,%r14d + + rorl $17,%r15d + xorl %r13d,%r12d + xorl %r14d,%r15d + addl 28(%rsp),%r12d + + addl 56(%rsp),%r12d + movl %r10d,%r13d + addl %r15d,%r12d + movl %ecx,%r14d + rorl $14,%r13d + movl %r11d,%r15d + + xorl %r10d,%r13d + rorl $9,%r14d + xorl %eax,%r15d + + movl %r12d,56(%rsp) + xorl %ecx,%r14d + andl %r10d,%r15d + + rorl $5,%r13d + addl %ebx,%r12d + xorl %eax,%r15d + + rorl $11,%r14d + xorl %r10d,%r13d + addl %r15d,%r12d + + movl %ecx,%r15d + addl (%rbp),%r12d + xorl %ecx,%r14d + + xorl %edx,%r15d + rorl $6,%r13d + movl %edx,%ebx + + andl %r15d,%edi + rorl $2,%r14d + addl %r13d,%r12d + + xorl %edi,%ebx + addl %r12d,%r9d + addl %r12d,%ebx + + leaq 4(%rbp),%rbp + movl 0(%rsp),%r13d + movl 52(%rsp),%edi + + movl %r13d,%r12d + rorl $11,%r13d + addl %r14d,%ebx + movl %edi,%r14d + rorl $2,%edi + + xorl %r12d,%r13d + shrl $3,%r12d + rorl $7,%r13d + xorl %r14d,%edi + shrl $10,%r14d + + rorl $17,%edi + xorl %r13d,%r12d + xorl %r14d,%edi + addl 32(%rsp),%r12d + + addl 60(%rsp),%r12d + movl %r9d,%r13d + addl %edi,%r12d + movl %ebx,%r14d + rorl $14,%r13d + movl %r10d,%edi + + xorl %r9d,%r13d + rorl $9,%r14d + xorl %r11d,%edi + + movl %r12d,60(%rsp) + xorl %ebx,%r14d + andl %r9d,%edi + + rorl $5,%r13d + addl %eax,%r12d + xorl %r11d,%edi + + rorl $11,%r14d + xorl %r9d,%r13d + addl %edi,%r12d + + movl %ebx,%edi + addl (%rbp),%r12d + xorl %ebx,%r14d + + xorl %ecx,%edi + rorl $6,%r13d + movl %ecx,%eax + + andl %edi,%r15d + rorl $2,%r14d + addl %r13d,%r12d + + xorl %r15d,%eax + addl %r12d,%r8d + addl %r12d,%eax + + leaq 20(%rbp),%rbp + cmpb $0,3(%rbp) + jnz .Lrounds_16_xx + + movq 64+0(%rsp),%rdi + addl %r14d,%eax + leaq 64(%rsi),%rsi + + addl 0(%rdi),%eax + addl 4(%rdi),%ebx + addl 8(%rdi),%ecx + addl 12(%rdi),%edx + addl 16(%rdi),%r8d + addl 20(%rdi),%r9d + addl 24(%rdi),%r10d + addl 28(%rdi),%r11d + + cmpq 64+16(%rsp),%rsi + + movl %eax,0(%rdi) + movl %ebx,4(%rdi) + movl %ecx,8(%rdi) + movl %edx,12(%rdi) + movl %r8d,16(%rdi) + movl %r9d,20(%rdi) + movl %r10d,24(%rdi) + movl %r11d,28(%rdi) + jb .Lloop + + leaq 64+24+48(%rsp),%r11 + + movq 64+24(%rsp),%r15 + movq -40(%r11),%r14 + movq -32(%r11),%r13 + movq -24(%r11),%r12 + movq -16(%r11),%rbx + movq -8(%r11),%rbp +.LSEH_epilogue_crypton_sha256_asm_block_data_order: + mov 8(%r11),%rdi + mov 16(%r11),%rsi + + leaq (%r11),%rsp + .byte 0xf3,0xc3 + +.LSEH_end_crypton_sha256_asm_block_data_order: +.p2align 6 + +K256: +.long 0x428a2f98,0x71374491,0xb5c0fbcf,0xe9b5dba5 +.long 0x428a2f98,0x71374491,0xb5c0fbcf,0xe9b5dba5 +.long 0x3956c25b,0x59f111f1,0x923f82a4,0xab1c5ed5 +.long 0x3956c25b,0x59f111f1,0x923f82a4,0xab1c5ed5 +.long 0xd807aa98,0x12835b01,0x243185be,0x550c7dc3 +.long 0xd807aa98,0x12835b01,0x243185be,0x550c7dc3 +.long 0x72be5d74,0x80deb1fe,0x9bdc06a7,0xc19bf174 +.long 0x72be5d74,0x80deb1fe,0x9bdc06a7,0xc19bf174 +.long 0xe49b69c1,0xefbe4786,0x0fc19dc6,0x240ca1cc +.long 0xe49b69c1,0xefbe4786,0x0fc19dc6,0x240ca1cc +.long 0x2de92c6f,0x4a7484aa,0x5cb0a9dc,0x76f988da +.long 0x2de92c6f,0x4a7484aa,0x5cb0a9dc,0x76f988da +.long 0x983e5152,0xa831c66d,0xb00327c8,0xbf597fc7 +.long 0x983e5152,0xa831c66d,0xb00327c8,0xbf597fc7 +.long 0xc6e00bf3,0xd5a79147,0x06ca6351,0x14292967 +.long 0xc6e00bf3,0xd5a79147,0x06ca6351,0x14292967 +.long 0x27b70a85,0x2e1b2138,0x4d2c6dfc,0x53380d13 +.long 0x27b70a85,0x2e1b2138,0x4d2c6dfc,0x53380d13 +.long 0x650a7354,0x766a0abb,0x81c2c92e,0x92722c85 +.long 0x650a7354,0x766a0abb,0x81c2c92e,0x92722c85 +.long 0xa2bfe8a1,0xa81a664b,0xc24b8b70,0xc76c51a3 +.long 0xa2bfe8a1,0xa81a664b,0xc24b8b70,0xc76c51a3 +.long 0xd192e819,0xd6990624,0xf40e3585,0x106aa070 +.long 0xd192e819,0xd6990624,0xf40e3585,0x106aa070 +.long 0x19a4c116,0x1e376c08,0x2748774c,0x34b0bcb5 +.long 0x19a4c116,0x1e376c08,0x2748774c,0x34b0bcb5 +.long 0x391c0cb3,0x4ed8aa4a,0x5b9cca4f,0x682e6ff3 +.long 0x391c0cb3,0x4ed8aa4a,0x5b9cca4f,0x682e6ff3 +.long 0x748f82ee,0x78a5636f,0x84c87814,0x8cc70208 +.long 0x748f82ee,0x78a5636f,0x84c87814,0x8cc70208 +.long 0x90befffa,0xa4506ceb,0xbef9a3f7,0xc67178f2 +.long 0x90befffa,0xa4506ceb,0xbef9a3f7,0xc67178f2 + +.long 0x00010203,0x04050607,0x08090a0b,0x0c0d0e0f +.long 0x00010203,0x04050607,0x08090a0b,0x0c0d0e0f +.long 0x03020100,0x0b0a0908,0xffffffff,0xffffffff +.long 0x03020100,0x0b0a0908,0xffffffff,0xffffffff +.long 0xffffffff,0xffffffff,0x03020100,0x0b0a0908 +.long 0xffffffff,0xffffffff,0x03020100,0x0b0a0908 +.byte 83,72,65,50,53,54,32,98,108,111,99,107,32,116,114,97,110,115,102,111,114,109,32,102,111,114,32,120,56,54,95,54,52,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.def crypton_sha256_asm_block_data_order_shaext; .scl 3; .type 32; .endef +.p2align 6 +crypton_sha256_asm_block_data_order_shaext: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%r11 +.LSEH_begin_crypton_sha256_asm_block_data_order_shaext: + + + pushq %rbp + + movq %rsp,%rbp + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx +.Lshaext_shortcut: + subq $0x50,%rsp + + movaps %xmm6,-80(%rbp) + movaps %xmm7,-64(%rbp) + movaps %xmm8,-48(%rbp) + movaps %xmm9,-32(%rbp) + movaps %xmm10,-16(%rbp) + +.LSEH_body_crypton_sha256_asm_block_data_order_shaext: + + leaq K256+128(%rip),%rcx + movdqu (%rdi),%xmm1 + movdqu 16(%rdi),%xmm2 + movdqa 512-128(%rcx),%xmm7 + + pshufd $0x1b,%xmm1,%xmm0 + pshufd $0xb1,%xmm1,%xmm1 + pshufd $0x1b,%xmm2,%xmm2 + movdqa %xmm7,%xmm8 +.byte 102,15,58,15,202,8 + punpcklqdq %xmm0,%xmm2 + jmp .Loop_shaext + +.p2align 4 +.Loop_shaext: + movdqu (%rsi),%xmm3 + movdqu 16(%rsi),%xmm4 + movdqu 32(%rsi),%xmm5 +.byte 102,15,56,0,223 + movdqu 48(%rsi),%xmm6 + + movdqa 0-128(%rcx),%xmm0 + paddd %xmm3,%xmm0 +.byte 102,15,56,0,231 + movdqa %xmm2,%xmm10 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + nop + movdqa %xmm1,%xmm9 +.byte 15,56,203,202 + + movdqa 32-128(%rcx),%xmm0 + paddd %xmm4,%xmm0 +.byte 102,15,56,0,239 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + leaq 64(%rsi),%rsi +.byte 15,56,204,220 +.byte 15,56,203,202 + + movdqa 64-128(%rcx),%xmm0 + paddd %xmm5,%xmm0 +.byte 102,15,56,0,247 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm6,%xmm7 +.byte 102,15,58,15,253,4 + nop + paddd %xmm7,%xmm3 +.byte 15,56,204,229 +.byte 15,56,203,202 + + movdqa 96-128(%rcx),%xmm0 + paddd %xmm6,%xmm0 +.byte 15,56,205,222 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm3,%xmm7 +.byte 102,15,58,15,254,4 + nop + paddd %xmm7,%xmm4 +.byte 15,56,204,238 +.byte 15,56,203,202 + movdqa 128-128(%rcx),%xmm0 + paddd %xmm3,%xmm0 +.byte 15,56,205,227 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm4,%xmm7 +.byte 102,15,58,15,251,4 + nop + paddd %xmm7,%xmm5 +.byte 15,56,204,243 +.byte 15,56,203,202 + movdqa 160-128(%rcx),%xmm0 + paddd %xmm4,%xmm0 +.byte 15,56,205,236 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm5,%xmm7 +.byte 102,15,58,15,252,4 + nop + paddd %xmm7,%xmm6 +.byte 15,56,204,220 +.byte 15,56,203,202 + movdqa 192-128(%rcx),%xmm0 + paddd %xmm5,%xmm0 +.byte 15,56,205,245 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm6,%xmm7 +.byte 102,15,58,15,253,4 + nop + paddd %xmm7,%xmm3 +.byte 15,56,204,229 +.byte 15,56,203,202 + movdqa 224-128(%rcx),%xmm0 + paddd %xmm6,%xmm0 +.byte 15,56,205,222 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm3,%xmm7 +.byte 102,15,58,15,254,4 + nop + paddd %xmm7,%xmm4 +.byte 15,56,204,238 +.byte 15,56,203,202 + movdqa 256-128(%rcx),%xmm0 + paddd %xmm3,%xmm0 +.byte 15,56,205,227 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm4,%xmm7 +.byte 102,15,58,15,251,4 + nop + paddd %xmm7,%xmm5 +.byte 15,56,204,243 +.byte 15,56,203,202 + movdqa 288-128(%rcx),%xmm0 + paddd %xmm4,%xmm0 +.byte 15,56,205,236 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm5,%xmm7 +.byte 102,15,58,15,252,4 + nop + paddd %xmm7,%xmm6 +.byte 15,56,204,220 +.byte 15,56,203,202 + movdqa 320-128(%rcx),%xmm0 + paddd %xmm5,%xmm0 +.byte 15,56,205,245 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm6,%xmm7 +.byte 102,15,58,15,253,4 + nop + paddd %xmm7,%xmm3 +.byte 15,56,204,229 +.byte 15,56,203,202 + movdqa 352-128(%rcx),%xmm0 + paddd %xmm6,%xmm0 +.byte 15,56,205,222 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm3,%xmm7 +.byte 102,15,58,15,254,4 + nop + paddd %xmm7,%xmm4 +.byte 15,56,204,238 +.byte 15,56,203,202 + movdqa 384-128(%rcx),%xmm0 + paddd %xmm3,%xmm0 +.byte 15,56,205,227 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm4,%xmm7 +.byte 102,15,58,15,251,4 + nop + paddd %xmm7,%xmm5 +.byte 15,56,204,243 +.byte 15,56,203,202 + movdqa 416-128(%rcx),%xmm0 + paddd %xmm4,%xmm0 +.byte 15,56,205,236 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + movdqa %xmm5,%xmm7 +.byte 102,15,58,15,252,4 +.byte 15,56,203,202 + paddd %xmm7,%xmm6 + + movdqa 448-128(%rcx),%xmm0 + paddd %xmm5,%xmm0 +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 +.byte 15,56,205,245 + movdqa %xmm8,%xmm7 +.byte 15,56,203,202 + + movdqa 480-128(%rcx),%xmm0 + paddd %xmm6,%xmm0 + nop +.byte 15,56,203,209 + pshufd $0x0e,%xmm0,%xmm0 + decq %rdx + nop +.byte 15,56,203,202 + + paddd %xmm10,%xmm2 + paddd %xmm9,%xmm1 + jnz .Loop_shaext + + pshufd $0xb1,%xmm2,%xmm2 + pshufd $0x1b,%xmm1,%xmm7 + pshufd $0xb1,%xmm1,%xmm1 + punpckhqdq %xmm2,%xmm1 +.byte 102,15,58,15,215,8 + + movdqu %xmm1,(%rdi) + movdqu %xmm2,16(%rdi) + movaps -80(%rbp),%xmm6 + movaps -64(%rbp),%xmm7 + movaps -48(%rbp),%xmm8 + movaps -32(%rbp),%xmm9 + movaps -16(%rbp),%xmm10 + movq %rbp,%rsp + + popq %rbp + +.LSEH_epilogue_crypton_sha256_asm_block_data_order_shaext: + mov 8(%rsp),%rdi + mov 16(%rsp),%rsi + + .byte 0xf3,0xc3 + +.LSEH_end_crypton_sha256_asm_block_data_order_shaext: +.def crypton_sha256_asm_block_data_order_ssse3; .scl 3; .type 32; .endef +.p2align 6 +crypton_sha256_asm_block_data_order_ssse3: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%r11 +.LSEH_begin_crypton_sha256_asm_block_data_order_ssse3: + + + pushq %rbp + + movq %rsp,%rbp + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx +.Lssse3_shortcut: + pushq %rbx + + pushq %r12 + + pushq %r13 + + pushq %r14 + + pushq %r15 + + shlq $4,%rdx + subq $88,%rsp + + leaq (%rsi,%rdx,4),%rdx + movq %rdi,-64(%rbp) + + movq %rdx,-48(%rbp) + movaps %xmm6,-128(%rbp) + movaps %xmm7,-112(%rbp) + movaps %xmm8,-96(%rbp) + movaps %xmm9,-80(%rbp) + +.LSEH_body_crypton_sha256_asm_block_data_order_ssse3: + + + leaq -64(%rsp),%rsp + movl 0(%rdi),%eax + andq $-64,%rsp + movl 4(%rdi),%ebx + movl 8(%rdi),%ecx + movl 12(%rdi),%edx + movl 16(%rdi),%r8d + movl 20(%rdi),%r9d + movl 24(%rdi),%r10d + movl 28(%rdi),%r11d + + + jmp .Lloop_ssse3 +.p2align 4 +.Lloop_ssse3: + movdqa K256+512(%rip),%xmm7 + movq %rsi,-56(%rbp) + movdqu 0(%rsi),%xmm0 + movdqu 16(%rsi),%xmm1 + movdqu 32(%rsi),%xmm2 +.byte 102,15,56,0,199 + movdqu 48(%rsi),%xmm3 + leaq K256(%rip),%rsi +.byte 102,15,56,0,207 + movdqa 0(%rsi),%xmm4 + movdqa 32(%rsi),%xmm5 +.byte 102,15,56,0,215 + paddd %xmm0,%xmm4 + movdqa 64(%rsi),%xmm6 +.byte 102,15,56,0,223 + movdqa 96(%rsi),%xmm7 + paddd %xmm1,%xmm5 + paddd %xmm2,%xmm6 + paddd %xmm3,%xmm7 + movdqa %xmm4,0(%rsp) + movl %eax,%r14d + movdqa %xmm5,16(%rsp) + movl %ebx,%edi + movdqa %xmm6,32(%rsp) + xorl %ecx,%edi + movdqa %xmm7,48(%rsp) + movl %r8d,%r13d + jmp .Lssse3_00_47 + +.p2align 4 +.Lssse3_00_47: + subq $-128,%rsi + rorl $14,%r13d + movdqa %xmm1,%xmm4 + movl %r14d,%eax + movl %r9d,%r12d + movdqa %xmm3,%xmm7 + rorl $9,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + rorl $5,%r13d + xorl %eax,%r14d +.byte 102,15,58,15,224,4 + andl %r8d,%r12d + xorl %r8d,%r13d +.byte 102,15,58,15,250,4 + addl 0(%rsp),%r11d + movl %eax,%r15d + xorl %r10d,%r12d + rorl $11,%r14d + movdqa %xmm4,%xmm5 + xorl %ebx,%r15d + addl %r12d,%r11d + movdqa %xmm4,%xmm6 + rorl $6,%r13d + andl %r15d,%edi + psrld $3,%xmm4 + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + paddd %xmm7,%xmm0 + rorl $2,%r14d + addl %r11d,%edx + psrld $7,%xmm6 + addl %edi,%r11d + movl %edx,%r13d + pshufd $250,%xmm3,%xmm7 + addl %r11d,%r14d + rorl $14,%r13d + pslld $14,%xmm5 + movl %r14d,%r11d + movl %r8d,%r12d + pxor %xmm6,%xmm4 + rorl $9,%r14d + xorl %edx,%r13d + xorl %r9d,%r12d + rorl $5,%r13d + psrld $11,%xmm6 + xorl %r11d,%r14d + pxor %xmm5,%xmm4 + andl %edx,%r12d + xorl %edx,%r13d + pslld $11,%xmm5 + addl 4(%rsp),%r10d + movl %r11d,%edi + pxor %xmm6,%xmm4 + xorl %r9d,%r12d + rorl $11,%r14d + movdqa %xmm7,%xmm6 + xorl %eax,%edi + addl %r12d,%r10d + pxor %xmm5,%xmm4 + rorl $6,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + psrld $10,%xmm7 + addl %r13d,%r10d + xorl %eax,%r15d + paddd %xmm4,%xmm0 + rorl $2,%r14d + addl %r10d,%ecx + psrlq $17,%xmm6 + addl %r15d,%r10d + movl %ecx,%r13d + addl %r10d,%r14d + pxor %xmm6,%xmm7 + rorl $14,%r13d + movl %r14d,%r10d + movl %edx,%r12d + rorl $9,%r14d + psrlq $2,%xmm6 + xorl %ecx,%r13d + xorl %r8d,%r12d + pxor %xmm6,%xmm7 + rorl $5,%r13d + xorl %r10d,%r14d + andl %ecx,%r12d + pshufd $128,%xmm7,%xmm7 + xorl %ecx,%r13d + addl 8(%rsp),%r9d + movl %r10d,%r15d + psrldq $8,%xmm7 + xorl %r8d,%r12d + rorl $11,%r14d + xorl %r11d,%r15d + addl %r12d,%r9d + rorl $6,%r13d + paddd %xmm7,%xmm0 + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + pshufd $80,%xmm0,%xmm7 + xorl %r11d,%edi + rorl $2,%r14d + addl %r9d,%ebx + movdqa %xmm7,%xmm6 + addl %edi,%r9d + movl %ebx,%r13d + psrld $10,%xmm7 + addl %r9d,%r14d + rorl $14,%r13d + psrlq $17,%xmm6 + movl %r14d,%r9d + movl %ecx,%r12d + pxor %xmm6,%xmm7 + rorl $9,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + rorl $5,%r13d + xorl %r9d,%r14d + psrlq $2,%xmm6 + andl %ebx,%r12d + xorl %ebx,%r13d + addl 12(%rsp),%r8d + pxor %xmm6,%xmm7 + movl %r9d,%edi + xorl %edx,%r12d + rorl $11,%r14d + pshufd $8,%xmm7,%xmm7 + xorl %r10d,%edi + addl %r12d,%r8d + movdqa 0(%rsi),%xmm6 + rorl $6,%r13d + andl %edi,%r15d + pslldq $8,%xmm7 + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + paddd %xmm7,%xmm0 + rorl $2,%r14d + addl %r8d,%eax + addl %r15d,%r8d + paddd %xmm0,%xmm6 + movl %eax,%r13d + addl %r8d,%r14d + movdqa %xmm6,0(%rsp) + rorl $14,%r13d + movdqa %xmm2,%xmm4 + movl %r14d,%r8d + movl %ebx,%r12d + movdqa %xmm0,%xmm7 + rorl $9,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + rorl $5,%r13d + xorl %r8d,%r14d +.byte 102,15,58,15,225,4 + andl %eax,%r12d + xorl %eax,%r13d +.byte 102,15,58,15,251,4 + addl 16(%rsp),%edx + movl %r8d,%r15d + xorl %ecx,%r12d + rorl $11,%r14d + movdqa %xmm4,%xmm5 + xorl %r9d,%r15d + addl %r12d,%edx + movdqa %xmm4,%xmm6 + rorl $6,%r13d + andl %r15d,%edi + psrld $3,%xmm4 + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + paddd %xmm7,%xmm1 + rorl $2,%r14d + addl %edx,%r11d + psrld $7,%xmm6 + addl %edi,%edx + movl %r11d,%r13d + pshufd $250,%xmm0,%xmm7 + addl %edx,%r14d + rorl $14,%r13d + pslld $14,%xmm5 + movl %r14d,%edx + movl %eax,%r12d + pxor %xmm6,%xmm4 + rorl $9,%r14d + xorl %r11d,%r13d + xorl %ebx,%r12d + rorl $5,%r13d + psrld $11,%xmm6 + xorl %edx,%r14d + pxor %xmm5,%xmm4 + andl %r11d,%r12d + xorl %r11d,%r13d + pslld $11,%xmm5 + addl 20(%rsp),%ecx + movl %edx,%edi + pxor %xmm6,%xmm4 + xorl %ebx,%r12d + rorl $11,%r14d + movdqa %xmm7,%xmm6 + xorl %r8d,%edi + addl %r12d,%ecx + pxor %xmm5,%xmm4 + rorl $6,%r13d + andl %edi,%r15d + xorl %edx,%r14d + psrld $10,%xmm7 + addl %r13d,%ecx + xorl %r8d,%r15d + paddd %xmm4,%xmm1 + rorl $2,%r14d + addl %ecx,%r10d + psrlq $17,%xmm6 + addl %r15d,%ecx + movl %r10d,%r13d + addl %ecx,%r14d + pxor %xmm6,%xmm7 + rorl $14,%r13d + movl %r14d,%ecx + movl %r11d,%r12d + rorl $9,%r14d + psrlq $2,%xmm6 + xorl %r10d,%r13d + xorl %eax,%r12d + pxor %xmm6,%xmm7 + rorl $5,%r13d + xorl %ecx,%r14d + andl %r10d,%r12d + pshufd $128,%xmm7,%xmm7 + xorl %r10d,%r13d + addl 24(%rsp),%ebx + movl %ecx,%r15d + psrldq $8,%xmm7 + xorl %eax,%r12d + rorl $11,%r14d + xorl %edx,%r15d + addl %r12d,%ebx + rorl $6,%r13d + paddd %xmm7,%xmm1 + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + pshufd $80,%xmm1,%xmm7 + xorl %edx,%edi + rorl $2,%r14d + addl %ebx,%r9d + movdqa %xmm7,%xmm6 + addl %edi,%ebx + movl %r9d,%r13d + psrld $10,%xmm7 + addl %ebx,%r14d + rorl $14,%r13d + psrlq $17,%xmm6 + movl %r14d,%ebx + movl %r10d,%r12d + pxor %xmm6,%xmm7 + rorl $9,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + rorl $5,%r13d + xorl %ebx,%r14d + psrlq $2,%xmm6 + andl %r9d,%r12d + xorl %r9d,%r13d + addl 28(%rsp),%eax + pxor %xmm6,%xmm7 + movl %ebx,%edi + xorl %r11d,%r12d + rorl $11,%r14d + pshufd $8,%xmm7,%xmm7 + xorl %ecx,%edi + addl %r12d,%eax + movdqa 32(%rsi),%xmm6 + rorl $6,%r13d + andl %edi,%r15d + pslldq $8,%xmm7 + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + paddd %xmm7,%xmm1 + rorl $2,%r14d + addl %eax,%r8d + addl %r15d,%eax + paddd %xmm1,%xmm6 + movl %r8d,%r13d + addl %eax,%r14d + movdqa %xmm6,16(%rsp) + rorl $14,%r13d + movdqa %xmm3,%xmm4 + movl %r14d,%eax + movl %r9d,%r12d + movdqa %xmm1,%xmm7 + rorl $9,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + rorl $5,%r13d + xorl %eax,%r14d +.byte 102,15,58,15,226,4 + andl %r8d,%r12d + xorl %r8d,%r13d +.byte 102,15,58,15,248,4 + addl 32(%rsp),%r11d + movl %eax,%r15d + xorl %r10d,%r12d + rorl $11,%r14d + movdqa %xmm4,%xmm5 + xorl %ebx,%r15d + addl %r12d,%r11d + movdqa %xmm4,%xmm6 + rorl $6,%r13d + andl %r15d,%edi + psrld $3,%xmm4 + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + paddd %xmm7,%xmm2 + rorl $2,%r14d + addl %r11d,%edx + psrld $7,%xmm6 + addl %edi,%r11d + movl %edx,%r13d + pshufd $250,%xmm1,%xmm7 + addl %r11d,%r14d + rorl $14,%r13d + pslld $14,%xmm5 + movl %r14d,%r11d + movl %r8d,%r12d + pxor %xmm6,%xmm4 + rorl $9,%r14d + xorl %edx,%r13d + xorl %r9d,%r12d + rorl $5,%r13d + psrld $11,%xmm6 + xorl %r11d,%r14d + pxor %xmm5,%xmm4 + andl %edx,%r12d + xorl %edx,%r13d + pslld $11,%xmm5 + addl 36(%rsp),%r10d + movl %r11d,%edi + pxor %xmm6,%xmm4 + xorl %r9d,%r12d + rorl $11,%r14d + movdqa %xmm7,%xmm6 + xorl %eax,%edi + addl %r12d,%r10d + pxor %xmm5,%xmm4 + rorl $6,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + psrld $10,%xmm7 + addl %r13d,%r10d + xorl %eax,%r15d + paddd %xmm4,%xmm2 + rorl $2,%r14d + addl %r10d,%ecx + psrlq $17,%xmm6 + addl %r15d,%r10d + movl %ecx,%r13d + addl %r10d,%r14d + pxor %xmm6,%xmm7 + rorl $14,%r13d + movl %r14d,%r10d + movl %edx,%r12d + rorl $9,%r14d + psrlq $2,%xmm6 + xorl %ecx,%r13d + xorl %r8d,%r12d + pxor %xmm6,%xmm7 + rorl $5,%r13d + xorl %r10d,%r14d + andl %ecx,%r12d + pshufd $128,%xmm7,%xmm7 + xorl %ecx,%r13d + addl 40(%rsp),%r9d + movl %r10d,%r15d + psrldq $8,%xmm7 + xorl %r8d,%r12d + rorl $11,%r14d + xorl %r11d,%r15d + addl %r12d,%r9d + rorl $6,%r13d + paddd %xmm7,%xmm2 + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + pshufd $80,%xmm2,%xmm7 + xorl %r11d,%edi + rorl $2,%r14d + addl %r9d,%ebx + movdqa %xmm7,%xmm6 + addl %edi,%r9d + movl %ebx,%r13d + psrld $10,%xmm7 + addl %r9d,%r14d + rorl $14,%r13d + psrlq $17,%xmm6 + movl %r14d,%r9d + movl %ecx,%r12d + pxor %xmm6,%xmm7 + rorl $9,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + rorl $5,%r13d + xorl %r9d,%r14d + psrlq $2,%xmm6 + andl %ebx,%r12d + xorl %ebx,%r13d + addl 44(%rsp),%r8d + pxor %xmm6,%xmm7 + movl %r9d,%edi + xorl %edx,%r12d + rorl $11,%r14d + pshufd $8,%xmm7,%xmm7 + xorl %r10d,%edi + addl %r12d,%r8d + movdqa 64(%rsi),%xmm6 + rorl $6,%r13d + andl %edi,%r15d + pslldq $8,%xmm7 + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + paddd %xmm7,%xmm2 + rorl $2,%r14d + addl %r8d,%eax + addl %r15d,%r8d + paddd %xmm2,%xmm6 + movl %eax,%r13d + addl %r8d,%r14d + movdqa %xmm6,32(%rsp) + rorl $14,%r13d + movdqa %xmm0,%xmm4 + movl %r14d,%r8d + movl %ebx,%r12d + movdqa %xmm2,%xmm7 + rorl $9,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + rorl $5,%r13d + xorl %r8d,%r14d +.byte 102,15,58,15,227,4 + andl %eax,%r12d + xorl %eax,%r13d +.byte 102,15,58,15,249,4 + addl 48(%rsp),%edx + movl %r8d,%r15d + xorl %ecx,%r12d + rorl $11,%r14d + movdqa %xmm4,%xmm5 + xorl %r9d,%r15d + addl %r12d,%edx + movdqa %xmm4,%xmm6 + rorl $6,%r13d + andl %r15d,%edi + psrld $3,%xmm4 + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + paddd %xmm7,%xmm3 + rorl $2,%r14d + addl %edx,%r11d + psrld $7,%xmm6 + addl %edi,%edx + movl %r11d,%r13d + pshufd $250,%xmm2,%xmm7 + addl %edx,%r14d + rorl $14,%r13d + pslld $14,%xmm5 + movl %r14d,%edx + movl %eax,%r12d + pxor %xmm6,%xmm4 + rorl $9,%r14d + xorl %r11d,%r13d + xorl %ebx,%r12d + rorl $5,%r13d + psrld $11,%xmm6 + xorl %edx,%r14d + pxor %xmm5,%xmm4 + andl %r11d,%r12d + xorl %r11d,%r13d + pslld $11,%xmm5 + addl 52(%rsp),%ecx + movl %edx,%edi + pxor %xmm6,%xmm4 + xorl %ebx,%r12d + rorl $11,%r14d + movdqa %xmm7,%xmm6 + xorl %r8d,%edi + addl %r12d,%ecx + pxor %xmm5,%xmm4 + rorl $6,%r13d + andl %edi,%r15d + xorl %edx,%r14d + psrld $10,%xmm7 + addl %r13d,%ecx + xorl %r8d,%r15d + paddd %xmm4,%xmm3 + rorl $2,%r14d + addl %ecx,%r10d + psrlq $17,%xmm6 + addl %r15d,%ecx + movl %r10d,%r13d + addl %ecx,%r14d + pxor %xmm6,%xmm7 + rorl $14,%r13d + movl %r14d,%ecx + movl %r11d,%r12d + rorl $9,%r14d + psrlq $2,%xmm6 + xorl %r10d,%r13d + xorl %eax,%r12d + pxor %xmm6,%xmm7 + rorl $5,%r13d + xorl %ecx,%r14d + andl %r10d,%r12d + pshufd $128,%xmm7,%xmm7 + xorl %r10d,%r13d + addl 56(%rsp),%ebx + movl %ecx,%r15d + psrldq $8,%xmm7 + xorl %eax,%r12d + rorl $11,%r14d + xorl %edx,%r15d + addl %r12d,%ebx + rorl $6,%r13d + paddd %xmm7,%xmm3 + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + pshufd $80,%xmm3,%xmm7 + xorl %edx,%edi + rorl $2,%r14d + addl %ebx,%r9d + movdqa %xmm7,%xmm6 + addl %edi,%ebx + movl %r9d,%r13d + psrld $10,%xmm7 + addl %ebx,%r14d + rorl $14,%r13d + psrlq $17,%xmm6 + movl %r14d,%ebx + movl %r10d,%r12d + pxor %xmm6,%xmm7 + rorl $9,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + rorl $5,%r13d + xorl %ebx,%r14d + psrlq $2,%xmm6 + andl %r9d,%r12d + xorl %r9d,%r13d + addl 60(%rsp),%eax + pxor %xmm6,%xmm7 + movl %ebx,%edi + xorl %r11d,%r12d + rorl $11,%r14d + pshufd $8,%xmm7,%xmm7 + xorl %ecx,%edi + addl %r12d,%eax + movdqa 96(%rsi),%xmm6 + rorl $6,%r13d + andl %edi,%r15d + pslldq $8,%xmm7 + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + paddd %xmm7,%xmm3 + rorl $2,%r14d + addl %eax,%r8d + addl %r15d,%eax + paddd %xmm3,%xmm6 + movl %r8d,%r13d + addl %eax,%r14d + movdqa %xmm6,48(%rsp) + cmpb $0,131(%rsi) + jne .Lssse3_00_47 + rorl $14,%r13d + movl %r14d,%eax + movl %r9d,%r12d + rorl $9,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + rorl $5,%r13d + xorl %eax,%r14d + andl %r8d,%r12d + xorl %r8d,%r13d + addl 0(%rsp),%r11d + movl %eax,%r15d + xorl %r10d,%r12d + rorl $11,%r14d + xorl %ebx,%r15d + addl %r12d,%r11d + rorl $6,%r13d + andl %r15d,%edi + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + rorl $2,%r14d + addl %r11d,%edx + addl %edi,%r11d + movl %edx,%r13d + addl %r11d,%r14d + rorl $14,%r13d + movl %r14d,%r11d + movl %r8d,%r12d + rorl $9,%r14d + xorl %edx,%r13d + xorl %r9d,%r12d + rorl $5,%r13d + xorl %r11d,%r14d + andl %edx,%r12d + xorl %edx,%r13d + addl 4(%rsp),%r10d + movl %r11d,%edi + xorl %r9d,%r12d + rorl $11,%r14d + xorl %eax,%edi + addl %r12d,%r10d + rorl $6,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + addl %r13d,%r10d + xorl %eax,%r15d + rorl $2,%r14d + addl %r10d,%ecx + addl %r15d,%r10d + movl %ecx,%r13d + addl %r10d,%r14d + rorl $14,%r13d + movl %r14d,%r10d + movl %edx,%r12d + rorl $9,%r14d + xorl %ecx,%r13d + xorl %r8d,%r12d + rorl $5,%r13d + xorl %r10d,%r14d + andl %ecx,%r12d + xorl %ecx,%r13d + addl 8(%rsp),%r9d + movl %r10d,%r15d + xorl %r8d,%r12d + rorl $11,%r14d + xorl %r11d,%r15d + addl %r12d,%r9d + rorl $6,%r13d + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + xorl %r11d,%edi + rorl $2,%r14d + addl %r9d,%ebx + addl %edi,%r9d + movl %ebx,%r13d + addl %r9d,%r14d + rorl $14,%r13d + movl %r14d,%r9d + movl %ecx,%r12d + rorl $9,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + rorl $5,%r13d + xorl %r9d,%r14d + andl %ebx,%r12d + xorl %ebx,%r13d + addl 12(%rsp),%r8d + movl %r9d,%edi + xorl %edx,%r12d + rorl $11,%r14d + xorl %r10d,%edi + addl %r12d,%r8d + rorl $6,%r13d + andl %edi,%r15d + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + rorl $2,%r14d + addl %r8d,%eax + addl %r15d,%r8d + movl %eax,%r13d + addl %r8d,%r14d + rorl $14,%r13d + movl %r14d,%r8d + movl %ebx,%r12d + rorl $9,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + rorl $5,%r13d + xorl %r8d,%r14d + andl %eax,%r12d + xorl %eax,%r13d + addl 16(%rsp),%edx + movl %r8d,%r15d + xorl %ecx,%r12d + rorl $11,%r14d + xorl %r9d,%r15d + addl %r12d,%edx + rorl $6,%r13d + andl %r15d,%edi + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + rorl $2,%r14d + addl %edx,%r11d + addl %edi,%edx + movl %r11d,%r13d + addl %edx,%r14d + rorl $14,%r13d + movl %r14d,%edx + movl %eax,%r12d + rorl $9,%r14d + xorl %r11d,%r13d + xorl %ebx,%r12d + rorl $5,%r13d + xorl %edx,%r14d + andl %r11d,%r12d + xorl %r11d,%r13d + addl 20(%rsp),%ecx + movl %edx,%edi + xorl %ebx,%r12d + rorl $11,%r14d + xorl %r8d,%edi + addl %r12d,%ecx + rorl $6,%r13d + andl %edi,%r15d + xorl %edx,%r14d + addl %r13d,%ecx + xorl %r8d,%r15d + rorl $2,%r14d + addl %ecx,%r10d + addl %r15d,%ecx + movl %r10d,%r13d + addl %ecx,%r14d + rorl $14,%r13d + movl %r14d,%ecx + movl %r11d,%r12d + rorl $9,%r14d + xorl %r10d,%r13d + xorl %eax,%r12d + rorl $5,%r13d + xorl %ecx,%r14d + andl %r10d,%r12d + xorl %r10d,%r13d + addl 24(%rsp),%ebx + movl %ecx,%r15d + xorl %eax,%r12d + rorl $11,%r14d + xorl %edx,%r15d + addl %r12d,%ebx + rorl $6,%r13d + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + xorl %edx,%edi + rorl $2,%r14d + addl %ebx,%r9d + addl %edi,%ebx + movl %r9d,%r13d + addl %ebx,%r14d + rorl $14,%r13d + movl %r14d,%ebx + movl %r10d,%r12d + rorl $9,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + rorl $5,%r13d + xorl %ebx,%r14d + andl %r9d,%r12d + xorl %r9d,%r13d + addl 28(%rsp),%eax + movl %ebx,%edi + xorl %r11d,%r12d + rorl $11,%r14d + xorl %ecx,%edi + addl %r12d,%eax + rorl $6,%r13d + andl %edi,%r15d + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + rorl $2,%r14d + addl %eax,%r8d + addl %r15d,%eax + movl %r8d,%r13d + addl %eax,%r14d + rorl $14,%r13d + movl %r14d,%eax + movl %r9d,%r12d + rorl $9,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + rorl $5,%r13d + xorl %eax,%r14d + andl %r8d,%r12d + xorl %r8d,%r13d + addl 32(%rsp),%r11d + movl %eax,%r15d + xorl %r10d,%r12d + rorl $11,%r14d + xorl %ebx,%r15d + addl %r12d,%r11d + rorl $6,%r13d + andl %r15d,%edi + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + rorl $2,%r14d + addl %r11d,%edx + addl %edi,%r11d + movl %edx,%r13d + addl %r11d,%r14d + rorl $14,%r13d + movl %r14d,%r11d + movl %r8d,%r12d + rorl $9,%r14d + xorl %edx,%r13d + xorl %r9d,%r12d + rorl $5,%r13d + xorl %r11d,%r14d + andl %edx,%r12d + xorl %edx,%r13d + addl 36(%rsp),%r10d + movl %r11d,%edi + xorl %r9d,%r12d + rorl $11,%r14d + xorl %eax,%edi + addl %r12d,%r10d + rorl $6,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + addl %r13d,%r10d + xorl %eax,%r15d + rorl $2,%r14d + addl %r10d,%ecx + addl %r15d,%r10d + movl %ecx,%r13d + addl %r10d,%r14d + rorl $14,%r13d + movl %r14d,%r10d + movl %edx,%r12d + rorl $9,%r14d + xorl %ecx,%r13d + xorl %r8d,%r12d + rorl $5,%r13d + xorl %r10d,%r14d + andl %ecx,%r12d + xorl %ecx,%r13d + addl 40(%rsp),%r9d + movl %r10d,%r15d + xorl %r8d,%r12d + rorl $11,%r14d + xorl %r11d,%r15d + addl %r12d,%r9d + rorl $6,%r13d + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + xorl %r11d,%edi + rorl $2,%r14d + addl %r9d,%ebx + addl %edi,%r9d + movl %ebx,%r13d + addl %r9d,%r14d + rorl $14,%r13d + movl %r14d,%r9d + movl %ecx,%r12d + rorl $9,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + rorl $5,%r13d + xorl %r9d,%r14d + andl %ebx,%r12d + xorl %ebx,%r13d + addl 44(%rsp),%r8d + movl %r9d,%edi + xorl %edx,%r12d + rorl $11,%r14d + xorl %r10d,%edi + addl %r12d,%r8d + rorl $6,%r13d + andl %edi,%r15d + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + rorl $2,%r14d + addl %r8d,%eax + addl %r15d,%r8d + movl %eax,%r13d + addl %r8d,%r14d + rorl $14,%r13d + movl %r14d,%r8d + movl %ebx,%r12d + rorl $9,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + rorl $5,%r13d + xorl %r8d,%r14d + andl %eax,%r12d + xorl %eax,%r13d + addl 48(%rsp),%edx + movl %r8d,%r15d + xorl %ecx,%r12d + rorl $11,%r14d + xorl %r9d,%r15d + addl %r12d,%edx + rorl $6,%r13d + andl %r15d,%edi + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + rorl $2,%r14d + addl %edx,%r11d + addl %edi,%edx + movl %r11d,%r13d + addl %edx,%r14d + rorl $14,%r13d + movl %r14d,%edx + movl %eax,%r12d + rorl $9,%r14d + xorl %r11d,%r13d + xorl %ebx,%r12d + rorl $5,%r13d + xorl %edx,%r14d + andl %r11d,%r12d + xorl %r11d,%r13d + addl 52(%rsp),%ecx + movl %edx,%edi + xorl %ebx,%r12d + rorl $11,%r14d + xorl %r8d,%edi + addl %r12d,%ecx + rorl $6,%r13d + andl %edi,%r15d + xorl %edx,%r14d + addl %r13d,%ecx + xorl %r8d,%r15d + rorl $2,%r14d + addl %ecx,%r10d + addl %r15d,%ecx + movl %r10d,%r13d + addl %ecx,%r14d + rorl $14,%r13d + movl %r14d,%ecx + movl %r11d,%r12d + rorl $9,%r14d + xorl %r10d,%r13d + xorl %eax,%r12d + rorl $5,%r13d + xorl %ecx,%r14d + andl %r10d,%r12d + xorl %r10d,%r13d + addl 56(%rsp),%ebx + movl %ecx,%r15d + xorl %eax,%r12d + rorl $11,%r14d + xorl %edx,%r15d + addl %r12d,%ebx + rorl $6,%r13d + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + xorl %edx,%edi + rorl $2,%r14d + addl %ebx,%r9d + addl %edi,%ebx + movl %r9d,%r13d + addl %ebx,%r14d + rorl $14,%r13d + movl %r14d,%ebx + movl %r10d,%r12d + rorl $9,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + rorl $5,%r13d + xorl %ebx,%r14d + andl %r9d,%r12d + xorl %r9d,%r13d + addl 60(%rsp),%eax + movl %ebx,%edi + xorl %r11d,%r12d + rorl $11,%r14d + xorl %ecx,%edi + addl %r12d,%eax + rorl $6,%r13d + andl %edi,%r15d + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + rorl $2,%r14d + addl %eax,%r8d + addl %r15d,%eax + movl %r8d,%r13d + addl %eax,%r14d + movq -64(%rbp),%rdi + movl %r14d,%eax + movq -56(%rbp),%rsi + + addl 0(%rdi),%eax + addl 4(%rdi),%ebx + addl 8(%rdi),%ecx + addl 12(%rdi),%edx + addl 16(%rdi),%r8d + addl 20(%rdi),%r9d + addl 24(%rdi),%r10d + addl 28(%rdi),%r11d + + leaq 64(%rsi),%rsi + cmpq -48(%rbp),%rsi + + movl %eax,0(%rdi) + movl %ebx,4(%rdi) + movl %ecx,8(%rdi) + movl %edx,12(%rdi) + movl %r8d,16(%rdi) + movl %r9d,20(%rdi) + movl %r10d,24(%rdi) + movl %r11d,28(%rdi) + jb .Lloop_ssse3 + + movaps -128(%rbp),%xmm6 + movaps -112(%rbp),%xmm7 + movaps -96(%rbp),%xmm8 + movaps -80(%rbp),%xmm9 + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp + + popq %rbp + +.LSEH_epilogue_crypton_sha256_asm_block_data_order_ssse3: + mov 8(%rsp),%rdi + mov 16(%rsp),%rsi + + .byte 0xf3,0xc3 + +.LSEH_end_crypton_sha256_asm_block_data_order_ssse3: +.def crypton_sha256_asm_block_data_order_avx; .scl 3; .type 32; .endef +.p2align 6 +crypton_sha256_asm_block_data_order_avx: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%r11 +.LSEH_begin_crypton_sha256_asm_block_data_order_avx: + + + pushq %rbp + + movq %rsp,%rbp + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx +.Lavx_shortcut: + pushq %rbx + + pushq %r12 + + pushq %r13 + + pushq %r14 + + pushq %r15 + + shlq $4,%rdx + subq $120,%rsp + + leaq (%rsi,%rdx,4),%rdx + movq %rdi,-64(%rbp) + + movq %rdx,-48(%rbp) + movaps %xmm6,-160(%rbp) + movaps %xmm7,-144(%rbp) + movaps %xmm8,-128(%rbp) + movaps %xmm9,-112(%rbp) + +.LSEH_body_crypton_sha256_asm_block_data_order_avx: + + + leaq -64(%rsp),%rsp + vzeroupper + andq $-64,%rsp + movl 0(%rdi),%eax + movl 4(%rdi),%ebx + movl 8(%rdi),%ecx + movl 12(%rdi),%edx + movl 16(%rdi),%r8d + movl 20(%rdi),%r9d + movl 24(%rdi),%r10d + movl 28(%rdi),%r11d + vmovdqa K256+512+32(%rip),%xmm8 + vmovdqa K256+512+64(%rip),%xmm9 + jmp .Lloop_avx +.p2align 4 +.Lloop_avx: + vmovdqa K256+512(%rip),%xmm7 + movq %rsi,-56(%rbp) + vmovdqu 0(%rsi),%xmm0 + vmovdqu 16(%rsi),%xmm1 + vmovdqu 32(%rsi),%xmm2 + vmovdqu 48(%rsi),%xmm3 + vpshufb %xmm7,%xmm0,%xmm0 + leaq K256(%rip),%rsi + vpshufb %xmm7,%xmm1,%xmm1 + vpshufb %xmm7,%xmm2,%xmm2 + vpaddd 0(%rsi),%xmm0,%xmm4 + vpshufb %xmm7,%xmm3,%xmm3 + vpaddd 32(%rsi),%xmm1,%xmm5 + vpaddd 64(%rsi),%xmm2,%xmm6 + vpaddd 96(%rsi),%xmm3,%xmm7 + vmovdqa %xmm4,0(%rsp) + movl %eax,%r14d + vmovdqa %xmm5,16(%rsp) + movl %ebx,%edi + vmovdqa %xmm6,32(%rsp) + xorl %ecx,%edi + vmovdqa %xmm7,48(%rsp) + movl %r8d,%r13d + jmp .Lavx_00_47 + +.p2align 4 +.Lavx_00_47: + subq $-128,%rsi + vpalignr $4,%xmm0,%xmm1,%xmm4 + shrdl $14,%r13d,%r13d + movl %r14d,%eax + movl %r9d,%r12d + vpalignr $4,%xmm2,%xmm3,%xmm7 + shrdl $9,%r14d,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + vpsrld $7,%xmm4,%xmm6 + shrdl $5,%r13d,%r13d + xorl %eax,%r14d + andl %r8d,%r12d + vpaddd %xmm7,%xmm0,%xmm0 + xorl %r8d,%r13d + addl 0(%rsp),%r11d + movl %eax,%r15d + vpsrld $3,%xmm4,%xmm7 + xorl %r10d,%r12d + shrdl $11,%r14d,%r14d + xorl %ebx,%r15d + vpslld $14,%xmm4,%xmm5 + addl %r12d,%r11d + shrdl $6,%r13d,%r13d + andl %r15d,%edi + vpxor %xmm6,%xmm7,%xmm4 + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + vpshufd $250,%xmm3,%xmm7 + shrdl $2,%r14d,%r14d + addl %r11d,%edx + addl %edi,%r11d + vpsrld $11,%xmm6,%xmm6 + movl %edx,%r13d + addl %r11d,%r14d + shrdl $14,%r13d,%r13d + vpxor %xmm5,%xmm4,%xmm4 + movl %r14d,%r11d + movl %r8d,%r12d + shrdl $9,%r14d,%r14d + vpslld $11,%xmm5,%xmm5 + xorl %edx,%r13d + xorl %r9d,%r12d + shrdl $5,%r13d,%r13d + vpxor %xmm6,%xmm4,%xmm4 + xorl %r11d,%r14d + andl %edx,%r12d + xorl %edx,%r13d + vpsrld $10,%xmm7,%xmm6 + addl 4(%rsp),%r10d + movl %r11d,%edi + xorl %r9d,%r12d + vpxor %xmm5,%xmm4,%xmm4 + shrdl $11,%r14d,%r14d + xorl %eax,%edi + addl %r12d,%r10d + vpsrlq $17,%xmm7,%xmm7 + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + vpaddd %xmm4,%xmm0,%xmm0 + addl %r13d,%r10d + xorl %eax,%r15d + shrdl $2,%r14d,%r14d + vpxor %xmm7,%xmm6,%xmm6 + addl %r10d,%ecx + addl %r15d,%r10d + movl %ecx,%r13d + vpsrlq $2,%xmm7,%xmm7 + addl %r10d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r10d + vpxor %xmm7,%xmm6,%xmm6 + movl %edx,%r12d + shrdl $9,%r14d,%r14d + xorl %ecx,%r13d + vpshufb %xmm8,%xmm6,%xmm6 + xorl %r8d,%r12d + shrdl $5,%r13d,%r13d + xorl %r10d,%r14d + vpaddd %xmm6,%xmm0,%xmm0 + andl %ecx,%r12d + xorl %ecx,%r13d + addl 8(%rsp),%r9d + vpshufd $80,%xmm0,%xmm7 + movl %r10d,%r15d + xorl %r8d,%r12d + shrdl $11,%r14d,%r14d + vpsrld $10,%xmm7,%xmm6 + xorl %r11d,%r15d + addl %r12d,%r9d + shrdl $6,%r13d,%r13d + vpsrlq $17,%xmm7,%xmm7 + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + vpxor %xmm7,%xmm6,%xmm6 + xorl %r11d,%edi + shrdl $2,%r14d,%r14d + addl %r9d,%ebx + vpsrlq $2,%xmm7,%xmm7 + addl %edi,%r9d + movl %ebx,%r13d + addl %r9d,%r14d + vpxor %xmm7,%xmm6,%xmm6 + shrdl $14,%r13d,%r13d + movl %r14d,%r9d + movl %ecx,%r12d + vpshufb %xmm9,%xmm6,%xmm6 + shrdl $9,%r14d,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + vpaddd %xmm6,%xmm0,%xmm0 + shrdl $5,%r13d,%r13d + xorl %r9d,%r14d + andl %ebx,%r12d + vpaddd 0(%rsi),%xmm0,%xmm6 + xorl %ebx,%r13d + addl 12(%rsp),%r8d + movl %r9d,%edi + xorl %edx,%r12d + shrdl $11,%r14d,%r14d + xorl %r10d,%edi + addl %r12d,%r8d + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + shrdl $2,%r14d,%r14d + addl %r8d,%eax + addl %r15d,%r8d + movl %eax,%r13d + addl %r8d,%r14d + vmovdqa %xmm6,0(%rsp) + vpalignr $4,%xmm1,%xmm2,%xmm4 + shrdl $14,%r13d,%r13d + movl %r14d,%r8d + movl %ebx,%r12d + vpalignr $4,%xmm3,%xmm0,%xmm7 + shrdl $9,%r14d,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + vpsrld $7,%xmm4,%xmm6 + shrdl $5,%r13d,%r13d + xorl %r8d,%r14d + andl %eax,%r12d + vpaddd %xmm7,%xmm1,%xmm1 + xorl %eax,%r13d + addl 16(%rsp),%edx + movl %r8d,%r15d + vpsrld $3,%xmm4,%xmm7 + xorl %ecx,%r12d + shrdl $11,%r14d,%r14d + xorl %r9d,%r15d + vpslld $14,%xmm4,%xmm5 + addl %r12d,%edx + shrdl $6,%r13d,%r13d + andl %r15d,%edi + vpxor %xmm6,%xmm7,%xmm4 + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + vpshufd $250,%xmm0,%xmm7 + shrdl $2,%r14d,%r14d + addl %edx,%r11d + addl %edi,%edx + vpsrld $11,%xmm6,%xmm6 + movl %r11d,%r13d + addl %edx,%r14d + shrdl $14,%r13d,%r13d + vpxor %xmm5,%xmm4,%xmm4 + movl %r14d,%edx + movl %eax,%r12d + shrdl $9,%r14d,%r14d + vpslld $11,%xmm5,%xmm5 + xorl %r11d,%r13d + xorl %ebx,%r12d + shrdl $5,%r13d,%r13d + vpxor %xmm6,%xmm4,%xmm4 + xorl %edx,%r14d + andl %r11d,%r12d + xorl %r11d,%r13d + vpsrld $10,%xmm7,%xmm6 + addl 20(%rsp),%ecx + movl %edx,%edi + xorl %ebx,%r12d + vpxor %xmm5,%xmm4,%xmm4 + shrdl $11,%r14d,%r14d + xorl %r8d,%edi + addl %r12d,%ecx + vpsrlq $17,%xmm7,%xmm7 + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %edx,%r14d + vpaddd %xmm4,%xmm1,%xmm1 + addl %r13d,%ecx + xorl %r8d,%r15d + shrdl $2,%r14d,%r14d + vpxor %xmm7,%xmm6,%xmm6 + addl %ecx,%r10d + addl %r15d,%ecx + movl %r10d,%r13d + vpsrlq $2,%xmm7,%xmm7 + addl %ecx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%ecx + vpxor %xmm7,%xmm6,%xmm6 + movl %r11d,%r12d + shrdl $9,%r14d,%r14d + xorl %r10d,%r13d + vpshufb %xmm8,%xmm6,%xmm6 + xorl %eax,%r12d + shrdl $5,%r13d,%r13d + xorl %ecx,%r14d + vpaddd %xmm6,%xmm1,%xmm1 + andl %r10d,%r12d + xorl %r10d,%r13d + addl 24(%rsp),%ebx + vpshufd $80,%xmm1,%xmm7 + movl %ecx,%r15d + xorl %eax,%r12d + shrdl $11,%r14d,%r14d + vpsrld $10,%xmm7,%xmm6 + xorl %edx,%r15d + addl %r12d,%ebx + shrdl $6,%r13d,%r13d + vpsrlq $17,%xmm7,%xmm7 + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + vpxor %xmm7,%xmm6,%xmm6 + xorl %edx,%edi + shrdl $2,%r14d,%r14d + addl %ebx,%r9d + vpsrlq $2,%xmm7,%xmm7 + addl %edi,%ebx + movl %r9d,%r13d + addl %ebx,%r14d + vpxor %xmm7,%xmm6,%xmm6 + shrdl $14,%r13d,%r13d + movl %r14d,%ebx + movl %r10d,%r12d + vpshufb %xmm9,%xmm6,%xmm6 + shrdl $9,%r14d,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + vpaddd %xmm6,%xmm1,%xmm1 + shrdl $5,%r13d,%r13d + xorl %ebx,%r14d + andl %r9d,%r12d + vpaddd 32(%rsi),%xmm1,%xmm6 + xorl %r9d,%r13d + addl 28(%rsp),%eax + movl %ebx,%edi + xorl %r11d,%r12d + shrdl $11,%r14d,%r14d + xorl %ecx,%edi + addl %r12d,%eax + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + shrdl $2,%r14d,%r14d + addl %eax,%r8d + addl %r15d,%eax + movl %r8d,%r13d + addl %eax,%r14d + vmovdqa %xmm6,16(%rsp) + vpalignr $4,%xmm2,%xmm3,%xmm4 + shrdl $14,%r13d,%r13d + movl %r14d,%eax + movl %r9d,%r12d + vpalignr $4,%xmm0,%xmm1,%xmm7 + shrdl $9,%r14d,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + vpsrld $7,%xmm4,%xmm6 + shrdl $5,%r13d,%r13d + xorl %eax,%r14d + andl %r8d,%r12d + vpaddd %xmm7,%xmm2,%xmm2 + xorl %r8d,%r13d + addl 32(%rsp),%r11d + movl %eax,%r15d + vpsrld $3,%xmm4,%xmm7 + xorl %r10d,%r12d + shrdl $11,%r14d,%r14d + xorl %ebx,%r15d + vpslld $14,%xmm4,%xmm5 + addl %r12d,%r11d + shrdl $6,%r13d,%r13d + andl %r15d,%edi + vpxor %xmm6,%xmm7,%xmm4 + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + vpshufd $250,%xmm1,%xmm7 + shrdl $2,%r14d,%r14d + addl %r11d,%edx + addl %edi,%r11d + vpsrld $11,%xmm6,%xmm6 + movl %edx,%r13d + addl %r11d,%r14d + shrdl $14,%r13d,%r13d + vpxor %xmm5,%xmm4,%xmm4 + movl %r14d,%r11d + movl %r8d,%r12d + shrdl $9,%r14d,%r14d + vpslld $11,%xmm5,%xmm5 + xorl %edx,%r13d + xorl %r9d,%r12d + shrdl $5,%r13d,%r13d + vpxor %xmm6,%xmm4,%xmm4 + xorl %r11d,%r14d + andl %edx,%r12d + xorl %edx,%r13d + vpsrld $10,%xmm7,%xmm6 + addl 36(%rsp),%r10d + movl %r11d,%edi + xorl %r9d,%r12d + vpxor %xmm5,%xmm4,%xmm4 + shrdl $11,%r14d,%r14d + xorl %eax,%edi + addl %r12d,%r10d + vpsrlq $17,%xmm7,%xmm7 + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + vpaddd %xmm4,%xmm2,%xmm2 + addl %r13d,%r10d + xorl %eax,%r15d + shrdl $2,%r14d,%r14d + vpxor %xmm7,%xmm6,%xmm6 + addl %r10d,%ecx + addl %r15d,%r10d + movl %ecx,%r13d + vpsrlq $2,%xmm7,%xmm7 + addl %r10d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r10d + vpxor %xmm7,%xmm6,%xmm6 + movl %edx,%r12d + shrdl $9,%r14d,%r14d + xorl %ecx,%r13d + vpshufb %xmm8,%xmm6,%xmm6 + xorl %r8d,%r12d + shrdl $5,%r13d,%r13d + xorl %r10d,%r14d + vpaddd %xmm6,%xmm2,%xmm2 + andl %ecx,%r12d + xorl %ecx,%r13d + addl 40(%rsp),%r9d + vpshufd $80,%xmm2,%xmm7 + movl %r10d,%r15d + xorl %r8d,%r12d + shrdl $11,%r14d,%r14d + vpsrld $10,%xmm7,%xmm6 + xorl %r11d,%r15d + addl %r12d,%r9d + shrdl $6,%r13d,%r13d + vpsrlq $17,%xmm7,%xmm7 + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + vpxor %xmm7,%xmm6,%xmm6 + xorl %r11d,%edi + shrdl $2,%r14d,%r14d + addl %r9d,%ebx + vpsrlq $2,%xmm7,%xmm7 + addl %edi,%r9d + movl %ebx,%r13d + addl %r9d,%r14d + vpxor %xmm7,%xmm6,%xmm6 + shrdl $14,%r13d,%r13d + movl %r14d,%r9d + movl %ecx,%r12d + vpshufb %xmm9,%xmm6,%xmm6 + shrdl $9,%r14d,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + vpaddd %xmm6,%xmm2,%xmm2 + shrdl $5,%r13d,%r13d + xorl %r9d,%r14d + andl %ebx,%r12d + vpaddd 64(%rsi),%xmm2,%xmm6 + xorl %ebx,%r13d + addl 44(%rsp),%r8d + movl %r9d,%edi + xorl %edx,%r12d + shrdl $11,%r14d,%r14d + xorl %r10d,%edi + addl %r12d,%r8d + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + shrdl $2,%r14d,%r14d + addl %r8d,%eax + addl %r15d,%r8d + movl %eax,%r13d + addl %r8d,%r14d + vmovdqa %xmm6,32(%rsp) + vpalignr $4,%xmm3,%xmm0,%xmm4 + shrdl $14,%r13d,%r13d + movl %r14d,%r8d + movl %ebx,%r12d + vpalignr $4,%xmm1,%xmm2,%xmm7 + shrdl $9,%r14d,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + vpsrld $7,%xmm4,%xmm6 + shrdl $5,%r13d,%r13d + xorl %r8d,%r14d + andl %eax,%r12d + vpaddd %xmm7,%xmm3,%xmm3 + xorl %eax,%r13d + addl 48(%rsp),%edx + movl %r8d,%r15d + vpsrld $3,%xmm4,%xmm7 + xorl %ecx,%r12d + shrdl $11,%r14d,%r14d + xorl %r9d,%r15d + vpslld $14,%xmm4,%xmm5 + addl %r12d,%edx + shrdl $6,%r13d,%r13d + andl %r15d,%edi + vpxor %xmm6,%xmm7,%xmm4 + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + vpshufd $250,%xmm2,%xmm7 + shrdl $2,%r14d,%r14d + addl %edx,%r11d + addl %edi,%edx + vpsrld $11,%xmm6,%xmm6 + movl %r11d,%r13d + addl %edx,%r14d + shrdl $14,%r13d,%r13d + vpxor %xmm5,%xmm4,%xmm4 + movl %r14d,%edx + movl %eax,%r12d + shrdl $9,%r14d,%r14d + vpslld $11,%xmm5,%xmm5 + xorl %r11d,%r13d + xorl %ebx,%r12d + shrdl $5,%r13d,%r13d + vpxor %xmm6,%xmm4,%xmm4 + xorl %edx,%r14d + andl %r11d,%r12d + xorl %r11d,%r13d + vpsrld $10,%xmm7,%xmm6 + addl 52(%rsp),%ecx + movl %edx,%edi + xorl %ebx,%r12d + vpxor %xmm5,%xmm4,%xmm4 + shrdl $11,%r14d,%r14d + xorl %r8d,%edi + addl %r12d,%ecx + vpsrlq $17,%xmm7,%xmm7 + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %edx,%r14d + vpaddd %xmm4,%xmm3,%xmm3 + addl %r13d,%ecx + xorl %r8d,%r15d + shrdl $2,%r14d,%r14d + vpxor %xmm7,%xmm6,%xmm6 + addl %ecx,%r10d + addl %r15d,%ecx + movl %r10d,%r13d + vpsrlq $2,%xmm7,%xmm7 + addl %ecx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%ecx + vpxor %xmm7,%xmm6,%xmm6 + movl %r11d,%r12d + shrdl $9,%r14d,%r14d + xorl %r10d,%r13d + vpshufb %xmm8,%xmm6,%xmm6 + xorl %eax,%r12d + shrdl $5,%r13d,%r13d + xorl %ecx,%r14d + vpaddd %xmm6,%xmm3,%xmm3 + andl %r10d,%r12d + xorl %r10d,%r13d + addl 56(%rsp),%ebx + vpshufd $80,%xmm3,%xmm7 + movl %ecx,%r15d + xorl %eax,%r12d + shrdl $11,%r14d,%r14d + vpsrld $10,%xmm7,%xmm6 + xorl %edx,%r15d + addl %r12d,%ebx + shrdl $6,%r13d,%r13d + vpsrlq $17,%xmm7,%xmm7 + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + vpxor %xmm7,%xmm6,%xmm6 + xorl %edx,%edi + shrdl $2,%r14d,%r14d + addl %ebx,%r9d + vpsrlq $2,%xmm7,%xmm7 + addl %edi,%ebx + movl %r9d,%r13d + addl %ebx,%r14d + vpxor %xmm7,%xmm6,%xmm6 + shrdl $14,%r13d,%r13d + movl %r14d,%ebx + movl %r10d,%r12d + vpshufb %xmm9,%xmm6,%xmm6 + shrdl $9,%r14d,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + vpaddd %xmm6,%xmm3,%xmm3 + shrdl $5,%r13d,%r13d + xorl %ebx,%r14d + andl %r9d,%r12d + vpaddd 96(%rsi),%xmm3,%xmm6 + xorl %r9d,%r13d + addl 60(%rsp),%eax + movl %ebx,%edi + xorl %r11d,%r12d + shrdl $11,%r14d,%r14d + xorl %ecx,%edi + addl %r12d,%eax + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + shrdl $2,%r14d,%r14d + addl %eax,%r8d + addl %r15d,%eax + movl %r8d,%r13d + addl %eax,%r14d + vmovdqa %xmm6,48(%rsp) + cmpb $0,131(%rsi) + jne .Lavx_00_47 + shrdl $14,%r13d,%r13d + movl %r14d,%eax + movl %r9d,%r12d + shrdl $9,%r14d,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + shrdl $5,%r13d,%r13d + xorl %eax,%r14d + andl %r8d,%r12d + xorl %r8d,%r13d + addl 0(%rsp),%r11d + movl %eax,%r15d + xorl %r10d,%r12d + shrdl $11,%r14d,%r14d + xorl %ebx,%r15d + addl %r12d,%r11d + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + shrdl $2,%r14d,%r14d + addl %r11d,%edx + addl %edi,%r11d + movl %edx,%r13d + addl %r11d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r11d + movl %r8d,%r12d + shrdl $9,%r14d,%r14d + xorl %edx,%r13d + xorl %r9d,%r12d + shrdl $5,%r13d,%r13d + xorl %r11d,%r14d + andl %edx,%r12d + xorl %edx,%r13d + addl 4(%rsp),%r10d + movl %r11d,%edi + xorl %r9d,%r12d + shrdl $11,%r14d,%r14d + xorl %eax,%edi + addl %r12d,%r10d + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + addl %r13d,%r10d + xorl %eax,%r15d + shrdl $2,%r14d,%r14d + addl %r10d,%ecx + addl %r15d,%r10d + movl %ecx,%r13d + addl %r10d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r10d + movl %edx,%r12d + shrdl $9,%r14d,%r14d + xorl %ecx,%r13d + xorl %r8d,%r12d + shrdl $5,%r13d,%r13d + xorl %r10d,%r14d + andl %ecx,%r12d + xorl %ecx,%r13d + addl 8(%rsp),%r9d + movl %r10d,%r15d + xorl %r8d,%r12d + shrdl $11,%r14d,%r14d + xorl %r11d,%r15d + addl %r12d,%r9d + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + xorl %r11d,%edi + shrdl $2,%r14d,%r14d + addl %r9d,%ebx + addl %edi,%r9d + movl %ebx,%r13d + addl %r9d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r9d + movl %ecx,%r12d + shrdl $9,%r14d,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + shrdl $5,%r13d,%r13d + xorl %r9d,%r14d + andl %ebx,%r12d + xorl %ebx,%r13d + addl 12(%rsp),%r8d + movl %r9d,%edi + xorl %edx,%r12d + shrdl $11,%r14d,%r14d + xorl %r10d,%edi + addl %r12d,%r8d + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + shrdl $2,%r14d,%r14d + addl %r8d,%eax + addl %r15d,%r8d + movl %eax,%r13d + addl %r8d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r8d + movl %ebx,%r12d + shrdl $9,%r14d,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + shrdl $5,%r13d,%r13d + xorl %r8d,%r14d + andl %eax,%r12d + xorl %eax,%r13d + addl 16(%rsp),%edx + movl %r8d,%r15d + xorl %ecx,%r12d + shrdl $11,%r14d,%r14d + xorl %r9d,%r15d + addl %r12d,%edx + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + shrdl $2,%r14d,%r14d + addl %edx,%r11d + addl %edi,%edx + movl %r11d,%r13d + addl %edx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%edx + movl %eax,%r12d + shrdl $9,%r14d,%r14d + xorl %r11d,%r13d + xorl %ebx,%r12d + shrdl $5,%r13d,%r13d + xorl %edx,%r14d + andl %r11d,%r12d + xorl %r11d,%r13d + addl 20(%rsp),%ecx + movl %edx,%edi + xorl %ebx,%r12d + shrdl $11,%r14d,%r14d + xorl %r8d,%edi + addl %r12d,%ecx + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %edx,%r14d + addl %r13d,%ecx + xorl %r8d,%r15d + shrdl $2,%r14d,%r14d + addl %ecx,%r10d + addl %r15d,%ecx + movl %r10d,%r13d + addl %ecx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%ecx + movl %r11d,%r12d + shrdl $9,%r14d,%r14d + xorl %r10d,%r13d + xorl %eax,%r12d + shrdl $5,%r13d,%r13d + xorl %ecx,%r14d + andl %r10d,%r12d + xorl %r10d,%r13d + addl 24(%rsp),%ebx + movl %ecx,%r15d + xorl %eax,%r12d + shrdl $11,%r14d,%r14d + xorl %edx,%r15d + addl %r12d,%ebx + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + xorl %edx,%edi + shrdl $2,%r14d,%r14d + addl %ebx,%r9d + addl %edi,%ebx + movl %r9d,%r13d + addl %ebx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%ebx + movl %r10d,%r12d + shrdl $9,%r14d,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + shrdl $5,%r13d,%r13d + xorl %ebx,%r14d + andl %r9d,%r12d + xorl %r9d,%r13d + addl 28(%rsp),%eax + movl %ebx,%edi + xorl %r11d,%r12d + shrdl $11,%r14d,%r14d + xorl %ecx,%edi + addl %r12d,%eax + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + shrdl $2,%r14d,%r14d + addl %eax,%r8d + addl %r15d,%eax + movl %r8d,%r13d + addl %eax,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%eax + movl %r9d,%r12d + shrdl $9,%r14d,%r14d + xorl %r8d,%r13d + xorl %r10d,%r12d + shrdl $5,%r13d,%r13d + xorl %eax,%r14d + andl %r8d,%r12d + xorl %r8d,%r13d + addl 32(%rsp),%r11d + movl %eax,%r15d + xorl %r10d,%r12d + shrdl $11,%r14d,%r14d + xorl %ebx,%r15d + addl %r12d,%r11d + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %eax,%r14d + addl %r13d,%r11d + xorl %ebx,%edi + shrdl $2,%r14d,%r14d + addl %r11d,%edx + addl %edi,%r11d + movl %edx,%r13d + addl %r11d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r11d + movl %r8d,%r12d + shrdl $9,%r14d,%r14d + xorl %edx,%r13d + xorl %r9d,%r12d + shrdl $5,%r13d,%r13d + xorl %r11d,%r14d + andl %edx,%r12d + xorl %edx,%r13d + addl 36(%rsp),%r10d + movl %r11d,%edi + xorl %r9d,%r12d + shrdl $11,%r14d,%r14d + xorl %eax,%edi + addl %r12d,%r10d + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r11d,%r14d + addl %r13d,%r10d + xorl %eax,%r15d + shrdl $2,%r14d,%r14d + addl %r10d,%ecx + addl %r15d,%r10d + movl %ecx,%r13d + addl %r10d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r10d + movl %edx,%r12d + shrdl $9,%r14d,%r14d + xorl %ecx,%r13d + xorl %r8d,%r12d + shrdl $5,%r13d,%r13d + xorl %r10d,%r14d + andl %ecx,%r12d + xorl %ecx,%r13d + addl 40(%rsp),%r9d + movl %r10d,%r15d + xorl %r8d,%r12d + shrdl $11,%r14d,%r14d + xorl %r11d,%r15d + addl %r12d,%r9d + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %r10d,%r14d + addl %r13d,%r9d + xorl %r11d,%edi + shrdl $2,%r14d,%r14d + addl %r9d,%ebx + addl %edi,%r9d + movl %ebx,%r13d + addl %r9d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r9d + movl %ecx,%r12d + shrdl $9,%r14d,%r14d + xorl %ebx,%r13d + xorl %edx,%r12d + shrdl $5,%r13d,%r13d + xorl %r9d,%r14d + andl %ebx,%r12d + xorl %ebx,%r13d + addl 44(%rsp),%r8d + movl %r9d,%edi + xorl %edx,%r12d + shrdl $11,%r14d,%r14d + xorl %r10d,%edi + addl %r12d,%r8d + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %r9d,%r14d + addl %r13d,%r8d + xorl %r10d,%r15d + shrdl $2,%r14d,%r14d + addl %r8d,%eax + addl %r15d,%r8d + movl %eax,%r13d + addl %r8d,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%r8d + movl %ebx,%r12d + shrdl $9,%r14d,%r14d + xorl %eax,%r13d + xorl %ecx,%r12d + shrdl $5,%r13d,%r13d + xorl %r8d,%r14d + andl %eax,%r12d + xorl %eax,%r13d + addl 48(%rsp),%edx + movl %r8d,%r15d + xorl %ecx,%r12d + shrdl $11,%r14d,%r14d + xorl %r9d,%r15d + addl %r12d,%edx + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %r8d,%r14d + addl %r13d,%edx + xorl %r9d,%edi + shrdl $2,%r14d,%r14d + addl %edx,%r11d + addl %edi,%edx + movl %r11d,%r13d + addl %edx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%edx + movl %eax,%r12d + shrdl $9,%r14d,%r14d + xorl %r11d,%r13d + xorl %ebx,%r12d + shrdl $5,%r13d,%r13d + xorl %edx,%r14d + andl %r11d,%r12d + xorl %r11d,%r13d + addl 52(%rsp),%ecx + movl %edx,%edi + xorl %ebx,%r12d + shrdl $11,%r14d,%r14d + xorl %r8d,%edi + addl %r12d,%ecx + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %edx,%r14d + addl %r13d,%ecx + xorl %r8d,%r15d + shrdl $2,%r14d,%r14d + addl %ecx,%r10d + addl %r15d,%ecx + movl %r10d,%r13d + addl %ecx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%ecx + movl %r11d,%r12d + shrdl $9,%r14d,%r14d + xorl %r10d,%r13d + xorl %eax,%r12d + shrdl $5,%r13d,%r13d + xorl %ecx,%r14d + andl %r10d,%r12d + xorl %r10d,%r13d + addl 56(%rsp),%ebx + movl %ecx,%r15d + xorl %eax,%r12d + shrdl $11,%r14d,%r14d + xorl %edx,%r15d + addl %r12d,%ebx + shrdl $6,%r13d,%r13d + andl %r15d,%edi + xorl %ecx,%r14d + addl %r13d,%ebx + xorl %edx,%edi + shrdl $2,%r14d,%r14d + addl %ebx,%r9d + addl %edi,%ebx + movl %r9d,%r13d + addl %ebx,%r14d + shrdl $14,%r13d,%r13d + movl %r14d,%ebx + movl %r10d,%r12d + shrdl $9,%r14d,%r14d + xorl %r9d,%r13d + xorl %r11d,%r12d + shrdl $5,%r13d,%r13d + xorl %ebx,%r14d + andl %r9d,%r12d + xorl %r9d,%r13d + addl 60(%rsp),%eax + movl %ebx,%edi + xorl %r11d,%r12d + shrdl $11,%r14d,%r14d + xorl %ecx,%edi + addl %r12d,%eax + shrdl $6,%r13d,%r13d + andl %edi,%r15d + xorl %ebx,%r14d + addl %r13d,%eax + xorl %ecx,%r15d + shrdl $2,%r14d,%r14d + addl %eax,%r8d + addl %r15d,%eax + movl %r8d,%r13d + addl %eax,%r14d + movq -64(%rbp),%rdi + movl %r14d,%eax + movq -56(%rbp),%rsi + + addl 0(%rdi),%eax + addl 4(%rdi),%ebx + addl 8(%rdi),%ecx + addl 12(%rdi),%edx + addl 16(%rdi),%r8d + addl 20(%rdi),%r9d + addl 24(%rdi),%r10d + addl 28(%rdi),%r11d + + leaq 64(%rsi),%rsi + cmpq -48(%rbp),%rsi + + movl %eax,0(%rdi) + movl %ebx,4(%rdi) + movl %ecx,8(%rdi) + movl %edx,12(%rdi) + movl %r8d,16(%rdi) + movl %r9d,20(%rdi) + movl %r10d,24(%rdi) + movl %r11d,28(%rdi) + jb .Lloop_avx + + vzeroupper + movaps -160(%rbp),%xmm6 + movaps -144(%rbp),%xmm7 + movaps -128(%rbp),%xmm8 + movaps -112(%rbp),%xmm9 + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp + + popq %rbp + +.LSEH_epilogue_crypton_sha256_asm_block_data_order_avx: + mov 8(%rsp),%rdi + mov 16(%rsp),%rsi + + .byte 0xf3,0xc3 + +.LSEH_end_crypton_sha256_asm_block_data_order_avx: +.def crypton_sha256_asm_block_data_order_avx2; .scl 3; .type 32; .endef +.p2align 6 +crypton_sha256_asm_block_data_order_avx2: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%r11 +.LSEH_begin_crypton_sha256_asm_block_data_order_avx2: + + + pushq %rbp + + movq %rsp,%rbp + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx +.Lavx2_shortcut: + pushq %rbx + + pushq %r12 + + pushq %r13 + + pushq %r14 + + pushq %r15 + + shlq $4,%rdx + subq $120,%rsp + + leaq (%rsi,%rdx,4),%rdx + movq %rdi,-64(%rbp) + + movq %rdx,-48(%rbp) + movaps %xmm6,-160(%rbp) + movaps %xmm7,-144(%rbp) + movaps %xmm8,-128(%rbp) + movaps %xmm9,-112(%rbp) + +.LSEH_body_crypton_sha256_asm_block_data_order_avx2: + + + leaq -64(%rsp),%rsp + vzeroupper + andq $-64,%rsp + subq $-64,%rsi + movl 0(%rdi),%eax + movq %rsi,%r12 + movl 4(%rdi),%ebx + cmpq %rdx,%rsi + movl 8(%rdi),%ecx + cmoveq %rsp,%r12 + movl 12(%rdi),%edx + movl 16(%rdi),%r8d + movl 20(%rdi),%r9d + movl 24(%rdi),%r10d + movl 28(%rdi),%r11d + vmovdqa K256+512+32(%rip),%ymm8 + vmovdqa K256+512+64(%rip),%ymm9 + jmp .Loop_avx2 +.p2align 4 +.Loop_avx2: + vmovdqa K256+512(%rip),%ymm7 + movq %rsi,-56(%rbp) + vmovdqu -64+0(%rsi),%xmm0 + vmovdqu -64+16(%rsi),%xmm1 + vmovdqu -64+32(%rsi),%xmm2 + vmovdqu -64+48(%rsi),%xmm3 + leaq K256(%rip),%rsi + vinserti128 $1,(%r12),%ymm0,%ymm0 + vinserti128 $1,16(%r12),%ymm1,%ymm1 + vpshufb %ymm7,%ymm0,%ymm0 + vinserti128 $1,32(%r12),%ymm2,%ymm2 + vpshufb %ymm7,%ymm1,%ymm1 + vinserti128 $1,48(%r12),%ymm3,%ymm3 + + vpshufb %ymm7,%ymm2,%ymm2 + vpaddd 0(%rsi),%ymm0,%ymm4 + vpshufb %ymm7,%ymm3,%ymm3 + vpaddd 32(%rsi),%ymm1,%ymm5 + vpaddd 64(%rsi),%ymm2,%ymm6 + vpaddd 96(%rsi),%ymm3,%ymm7 + vmovdqa %ymm4,0(%rsp) + xorl %r14d,%r14d + vmovdqa %ymm5,32(%rsp) + leaq -64(%rsp),%rsp + movl %ebx,%edi + vmovdqa %ymm6,0(%rsp) + xorl %ecx,%edi + vmovdqa %ymm7,32(%rsp) + movl %r9d,%r12d + subq $-32*4,%rsi + jmp .Lavx2_00_47 + +.p2align 4 +.Lavx2_00_47: + leaq -64(%rsp),%rsp + vpalignr $4,%ymm0,%ymm1,%ymm4 + addl 0+128(%rsp),%r11d + andl %r8d,%r12d + rorxl $25,%r8d,%r13d + vpalignr $4,%ymm2,%ymm3,%ymm7 + rorxl $11,%r8d,%r15d + leal (%rax,%r14,1),%eax + leal (%r11,%r12,1),%r11d + vpsrld $7,%ymm4,%ymm6 + andnl %r10d,%r8d,%r12d + xorl %r15d,%r13d + rorxl $6,%r8d,%r14d + vpaddd %ymm7,%ymm0,%ymm0 + leal (%r11,%r12,1),%r11d + xorl %r14d,%r13d + movl %eax,%r15d + vpsrld $3,%ymm4,%ymm7 + rorxl $22,%eax,%r12d + leal (%r11,%r13,1),%r11d + xorl %ebx,%r15d + vpslld $14,%ymm4,%ymm5 + rorxl $13,%eax,%r14d + rorxl $2,%eax,%r13d + leal (%rdx,%r11,1),%edx + vpxor %ymm6,%ymm7,%ymm4 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %ebx,%edi + vpshufd $250,%ymm3,%ymm7 + xorl %r13d,%r14d + leal (%r11,%rdi,1),%r11d + movl %r8d,%r12d + vpsrld $11,%ymm6,%ymm6 + addl 4+128(%rsp),%r10d + andl %edx,%r12d + rorxl $25,%edx,%r13d + vpxor %ymm5,%ymm4,%ymm4 + rorxl $11,%edx,%edi + leal (%r11,%r14,1),%r11d + leal (%r10,%r12,1),%r10d + vpslld $11,%ymm5,%ymm5 + andnl %r9d,%edx,%r12d + xorl %edi,%r13d + rorxl $6,%edx,%r14d + vpxor %ymm6,%ymm4,%ymm4 + leal (%r10,%r12,1),%r10d + xorl %r14d,%r13d + movl %r11d,%edi + vpsrld $10,%ymm7,%ymm6 + rorxl $22,%r11d,%r12d + leal (%r10,%r13,1),%r10d + xorl %eax,%edi + vpxor %ymm5,%ymm4,%ymm4 + rorxl $13,%r11d,%r14d + rorxl $2,%r11d,%r13d + leal (%rcx,%r10,1),%ecx + vpsrlq $17,%ymm7,%ymm7 + andl %edi,%r15d + xorl %r12d,%r14d + xorl %eax,%r15d + vpaddd %ymm4,%ymm0,%ymm0 + xorl %r13d,%r14d + leal (%r10,%r15,1),%r10d + movl %edx,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 8+128(%rsp),%r9d + andl %ecx,%r12d + rorxl $25,%ecx,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%ecx,%r15d + leal (%r10,%r14,1),%r10d + leal (%r9,%r12,1),%r9d + vpxor %ymm7,%ymm6,%ymm6 + andnl %r8d,%ecx,%r12d + xorl %r15d,%r13d + rorxl $6,%ecx,%r14d + vpshufb %ymm8,%ymm6,%ymm6 + leal (%r9,%r12,1),%r9d + xorl %r14d,%r13d + movl %r10d,%r15d + vpaddd %ymm6,%ymm0,%ymm0 + rorxl $22,%r10d,%r12d + leal (%r9,%r13,1),%r9d + xorl %r11d,%r15d + vpshufd $80,%ymm0,%ymm7 + rorxl $13,%r10d,%r14d + rorxl $2,%r10d,%r13d + leal (%rbx,%r9,1),%ebx + vpsrld $10,%ymm7,%ymm6 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r11d,%edi + vpsrlq $17,%ymm7,%ymm7 + xorl %r13d,%r14d + leal (%r9,%rdi,1),%r9d + movl %ecx,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 12+128(%rsp),%r8d + andl %ebx,%r12d + rorxl $25,%ebx,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%ebx,%edi + leal (%r9,%r14,1),%r9d + leal (%r8,%r12,1),%r8d + vpxor %ymm7,%ymm6,%ymm6 + andnl %edx,%ebx,%r12d + xorl %edi,%r13d + rorxl $6,%ebx,%r14d + vpshufb %ymm9,%ymm6,%ymm6 + leal (%r8,%r12,1),%r8d + xorl %r14d,%r13d + movl %r9d,%edi + vpaddd %ymm6,%ymm0,%ymm0 + rorxl $22,%r9d,%r12d + leal (%r8,%r13,1),%r8d + xorl %r10d,%edi + vpaddd 0(%rsi),%ymm0,%ymm6 + rorxl $13,%r9d,%r14d + rorxl $2,%r9d,%r13d + leal (%rax,%r8,1),%eax + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r10d,%r15d + xorl %r13d,%r14d + leal (%r8,%r15,1),%r8d + movl %ebx,%r12d + vmovdqa %ymm6,0(%rsp) + vpalignr $4,%ymm1,%ymm2,%ymm4 + addl 32+128(%rsp),%edx + andl %eax,%r12d + rorxl $25,%eax,%r13d + vpalignr $4,%ymm3,%ymm0,%ymm7 + rorxl $11,%eax,%r15d + leal (%r8,%r14,1),%r8d + leal (%rdx,%r12,1),%edx + vpsrld $7,%ymm4,%ymm6 + andnl %ecx,%eax,%r12d + xorl %r15d,%r13d + rorxl $6,%eax,%r14d + vpaddd %ymm7,%ymm1,%ymm1 + leal (%rdx,%r12,1),%edx + xorl %r14d,%r13d + movl %r8d,%r15d + vpsrld $3,%ymm4,%ymm7 + rorxl $22,%r8d,%r12d + leal (%rdx,%r13,1),%edx + xorl %r9d,%r15d + vpslld $14,%ymm4,%ymm5 + rorxl $13,%r8d,%r14d + rorxl $2,%r8d,%r13d + leal (%r11,%rdx,1),%r11d + vpxor %ymm6,%ymm7,%ymm4 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r9d,%edi + vpshufd $250,%ymm0,%ymm7 + xorl %r13d,%r14d + leal (%rdx,%rdi,1),%edx + movl %eax,%r12d + vpsrld $11,%ymm6,%ymm6 + addl 36+128(%rsp),%ecx + andl %r11d,%r12d + rorxl $25,%r11d,%r13d + vpxor %ymm5,%ymm4,%ymm4 + rorxl $11,%r11d,%edi + leal (%rdx,%r14,1),%edx + leal (%rcx,%r12,1),%ecx + vpslld $11,%ymm5,%ymm5 + andnl %ebx,%r11d,%r12d + xorl %edi,%r13d + rorxl $6,%r11d,%r14d + vpxor %ymm6,%ymm4,%ymm4 + leal (%rcx,%r12,1),%ecx + xorl %r14d,%r13d + movl %edx,%edi + vpsrld $10,%ymm7,%ymm6 + rorxl $22,%edx,%r12d + leal (%rcx,%r13,1),%ecx + xorl %r8d,%edi + vpxor %ymm5,%ymm4,%ymm4 + rorxl $13,%edx,%r14d + rorxl $2,%edx,%r13d + leal (%r10,%rcx,1),%r10d + vpsrlq $17,%ymm7,%ymm7 + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r8d,%r15d + vpaddd %ymm4,%ymm1,%ymm1 + xorl %r13d,%r14d + leal (%rcx,%r15,1),%ecx + movl %r11d,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 40+128(%rsp),%ebx + andl %r10d,%r12d + rorxl $25,%r10d,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%r10d,%r15d + leal (%rcx,%r14,1),%ecx + leal (%rbx,%r12,1),%ebx + vpxor %ymm7,%ymm6,%ymm6 + andnl %eax,%r10d,%r12d + xorl %r15d,%r13d + rorxl $6,%r10d,%r14d + vpshufb %ymm8,%ymm6,%ymm6 + leal (%rbx,%r12,1),%ebx + xorl %r14d,%r13d + movl %ecx,%r15d + vpaddd %ymm6,%ymm1,%ymm1 + rorxl $22,%ecx,%r12d + leal (%rbx,%r13,1),%ebx + xorl %edx,%r15d + vpshufd $80,%ymm1,%ymm7 + rorxl $13,%ecx,%r14d + rorxl $2,%ecx,%r13d + leal (%r9,%rbx,1),%r9d + vpsrld $10,%ymm7,%ymm6 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %edx,%edi + vpsrlq $17,%ymm7,%ymm7 + xorl %r13d,%r14d + leal (%rbx,%rdi,1),%ebx + movl %r10d,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 44+128(%rsp),%eax + andl %r9d,%r12d + rorxl $25,%r9d,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%r9d,%edi + leal (%rbx,%r14,1),%ebx + leal (%rax,%r12,1),%eax + vpxor %ymm7,%ymm6,%ymm6 + andnl %r11d,%r9d,%r12d + xorl %edi,%r13d + rorxl $6,%r9d,%r14d + vpshufb %ymm9,%ymm6,%ymm6 + leal (%rax,%r12,1),%eax + xorl %r14d,%r13d + movl %ebx,%edi + vpaddd %ymm6,%ymm1,%ymm1 + rorxl $22,%ebx,%r12d + leal (%rax,%r13,1),%eax + xorl %ecx,%edi + vpaddd 32(%rsi),%ymm1,%ymm6 + rorxl $13,%ebx,%r14d + rorxl $2,%ebx,%r13d + leal (%r8,%rax,1),%r8d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %ecx,%r15d + xorl %r13d,%r14d + leal (%rax,%r15,1),%eax + movl %r9d,%r12d + vmovdqa %ymm6,32(%rsp) + leaq -64(%rsp),%rsp + vpalignr $4,%ymm2,%ymm3,%ymm4 + addl 0+128(%rsp),%r11d + andl %r8d,%r12d + rorxl $25,%r8d,%r13d + vpalignr $4,%ymm0,%ymm1,%ymm7 + rorxl $11,%r8d,%r15d + leal (%rax,%r14,1),%eax + leal (%r11,%r12,1),%r11d + vpsrld $7,%ymm4,%ymm6 + andnl %r10d,%r8d,%r12d + xorl %r15d,%r13d + rorxl $6,%r8d,%r14d + vpaddd %ymm7,%ymm2,%ymm2 + leal (%r11,%r12,1),%r11d + xorl %r14d,%r13d + movl %eax,%r15d + vpsrld $3,%ymm4,%ymm7 + rorxl $22,%eax,%r12d + leal (%r11,%r13,1),%r11d + xorl %ebx,%r15d + vpslld $14,%ymm4,%ymm5 + rorxl $13,%eax,%r14d + rorxl $2,%eax,%r13d + leal (%rdx,%r11,1),%edx + vpxor %ymm6,%ymm7,%ymm4 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %ebx,%edi + vpshufd $250,%ymm1,%ymm7 + xorl %r13d,%r14d + leal (%r11,%rdi,1),%r11d + movl %r8d,%r12d + vpsrld $11,%ymm6,%ymm6 + addl 4+128(%rsp),%r10d + andl %edx,%r12d + rorxl $25,%edx,%r13d + vpxor %ymm5,%ymm4,%ymm4 + rorxl $11,%edx,%edi + leal (%r11,%r14,1),%r11d + leal (%r10,%r12,1),%r10d + vpslld $11,%ymm5,%ymm5 + andnl %r9d,%edx,%r12d + xorl %edi,%r13d + rorxl $6,%edx,%r14d + vpxor %ymm6,%ymm4,%ymm4 + leal (%r10,%r12,1),%r10d + xorl %r14d,%r13d + movl %r11d,%edi + vpsrld $10,%ymm7,%ymm6 + rorxl $22,%r11d,%r12d + leal (%r10,%r13,1),%r10d + xorl %eax,%edi + vpxor %ymm5,%ymm4,%ymm4 + rorxl $13,%r11d,%r14d + rorxl $2,%r11d,%r13d + leal (%rcx,%r10,1),%ecx + vpsrlq $17,%ymm7,%ymm7 + andl %edi,%r15d + xorl %r12d,%r14d + xorl %eax,%r15d + vpaddd %ymm4,%ymm2,%ymm2 + xorl %r13d,%r14d + leal (%r10,%r15,1),%r10d + movl %edx,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 8+128(%rsp),%r9d + andl %ecx,%r12d + rorxl $25,%ecx,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%ecx,%r15d + leal (%r10,%r14,1),%r10d + leal (%r9,%r12,1),%r9d + vpxor %ymm7,%ymm6,%ymm6 + andnl %r8d,%ecx,%r12d + xorl %r15d,%r13d + rorxl $6,%ecx,%r14d + vpshufb %ymm8,%ymm6,%ymm6 + leal (%r9,%r12,1),%r9d + xorl %r14d,%r13d + movl %r10d,%r15d + vpaddd %ymm6,%ymm2,%ymm2 + rorxl $22,%r10d,%r12d + leal (%r9,%r13,1),%r9d + xorl %r11d,%r15d + vpshufd $80,%ymm2,%ymm7 + rorxl $13,%r10d,%r14d + rorxl $2,%r10d,%r13d + leal (%rbx,%r9,1),%ebx + vpsrld $10,%ymm7,%ymm6 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r11d,%edi + vpsrlq $17,%ymm7,%ymm7 + xorl %r13d,%r14d + leal (%r9,%rdi,1),%r9d + movl %ecx,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 12+128(%rsp),%r8d + andl %ebx,%r12d + rorxl $25,%ebx,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%ebx,%edi + leal (%r9,%r14,1),%r9d + leal (%r8,%r12,1),%r8d + vpxor %ymm7,%ymm6,%ymm6 + andnl %edx,%ebx,%r12d + xorl %edi,%r13d + rorxl $6,%ebx,%r14d + vpshufb %ymm9,%ymm6,%ymm6 + leal (%r8,%r12,1),%r8d + xorl %r14d,%r13d + movl %r9d,%edi + vpaddd %ymm6,%ymm2,%ymm2 + rorxl $22,%r9d,%r12d + leal (%r8,%r13,1),%r8d + xorl %r10d,%edi + vpaddd 64(%rsi),%ymm2,%ymm6 + rorxl $13,%r9d,%r14d + rorxl $2,%r9d,%r13d + leal (%rax,%r8,1),%eax + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r10d,%r15d + xorl %r13d,%r14d + leal (%r8,%r15,1),%r8d + movl %ebx,%r12d + vmovdqa %ymm6,0(%rsp) + vpalignr $4,%ymm3,%ymm0,%ymm4 + addl 32+128(%rsp),%edx + andl %eax,%r12d + rorxl $25,%eax,%r13d + vpalignr $4,%ymm1,%ymm2,%ymm7 + rorxl $11,%eax,%r15d + leal (%r8,%r14,1),%r8d + leal (%rdx,%r12,1),%edx + vpsrld $7,%ymm4,%ymm6 + andnl %ecx,%eax,%r12d + xorl %r15d,%r13d + rorxl $6,%eax,%r14d + vpaddd %ymm7,%ymm3,%ymm3 + leal (%rdx,%r12,1),%edx + xorl %r14d,%r13d + movl %r8d,%r15d + vpsrld $3,%ymm4,%ymm7 + rorxl $22,%r8d,%r12d + leal (%rdx,%r13,1),%edx + xorl %r9d,%r15d + vpslld $14,%ymm4,%ymm5 + rorxl $13,%r8d,%r14d + rorxl $2,%r8d,%r13d + leal (%r11,%rdx,1),%r11d + vpxor %ymm6,%ymm7,%ymm4 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r9d,%edi + vpshufd $250,%ymm2,%ymm7 + xorl %r13d,%r14d + leal (%rdx,%rdi,1),%edx + movl %eax,%r12d + vpsrld $11,%ymm6,%ymm6 + addl 36+128(%rsp),%ecx + andl %r11d,%r12d + rorxl $25,%r11d,%r13d + vpxor %ymm5,%ymm4,%ymm4 + rorxl $11,%r11d,%edi + leal (%rdx,%r14,1),%edx + leal (%rcx,%r12,1),%ecx + vpslld $11,%ymm5,%ymm5 + andnl %ebx,%r11d,%r12d + xorl %edi,%r13d + rorxl $6,%r11d,%r14d + vpxor %ymm6,%ymm4,%ymm4 + leal (%rcx,%r12,1),%ecx + xorl %r14d,%r13d + movl %edx,%edi + vpsrld $10,%ymm7,%ymm6 + rorxl $22,%edx,%r12d + leal (%rcx,%r13,1),%ecx + xorl %r8d,%edi + vpxor %ymm5,%ymm4,%ymm4 + rorxl $13,%edx,%r14d + rorxl $2,%edx,%r13d + leal (%r10,%rcx,1),%r10d + vpsrlq $17,%ymm7,%ymm7 + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r8d,%r15d + vpaddd %ymm4,%ymm3,%ymm3 + xorl %r13d,%r14d + leal (%rcx,%r15,1),%ecx + movl %r11d,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 40+128(%rsp),%ebx + andl %r10d,%r12d + rorxl $25,%r10d,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%r10d,%r15d + leal (%rcx,%r14,1),%ecx + leal (%rbx,%r12,1),%ebx + vpxor %ymm7,%ymm6,%ymm6 + andnl %eax,%r10d,%r12d + xorl %r15d,%r13d + rorxl $6,%r10d,%r14d + vpshufb %ymm8,%ymm6,%ymm6 + leal (%rbx,%r12,1),%ebx + xorl %r14d,%r13d + movl %ecx,%r15d + vpaddd %ymm6,%ymm3,%ymm3 + rorxl $22,%ecx,%r12d + leal (%rbx,%r13,1),%ebx + xorl %edx,%r15d + vpshufd $80,%ymm3,%ymm7 + rorxl $13,%ecx,%r14d + rorxl $2,%ecx,%r13d + leal (%r9,%rbx,1),%r9d + vpsrld $10,%ymm7,%ymm6 + andl %r15d,%edi + xorl %r12d,%r14d + xorl %edx,%edi + vpsrlq $17,%ymm7,%ymm7 + xorl %r13d,%r14d + leal (%rbx,%rdi,1),%ebx + movl %r10d,%r12d + vpxor %ymm7,%ymm6,%ymm6 + addl 44+128(%rsp),%eax + andl %r9d,%r12d + rorxl $25,%r9d,%r13d + vpsrlq $2,%ymm7,%ymm7 + rorxl $11,%r9d,%edi + leal (%rbx,%r14,1),%ebx + leal (%rax,%r12,1),%eax + vpxor %ymm7,%ymm6,%ymm6 + andnl %r11d,%r9d,%r12d + xorl %edi,%r13d + rorxl $6,%r9d,%r14d + vpshufb %ymm9,%ymm6,%ymm6 + leal (%rax,%r12,1),%eax + xorl %r14d,%r13d + movl %ebx,%edi + vpaddd %ymm6,%ymm3,%ymm3 + rorxl $22,%ebx,%r12d + leal (%rax,%r13,1),%eax + xorl %ecx,%edi + vpaddd 96(%rsi),%ymm3,%ymm6 + rorxl $13,%ebx,%r14d + rorxl $2,%ebx,%r13d + leal (%r8,%rax,1),%r8d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %ecx,%r15d + xorl %r13d,%r14d + leal (%rax,%r15,1),%eax + movl %r9d,%r12d + vmovdqa %ymm6,32(%rsp) + leaq 128(%rsi),%rsi + cmpb $0,3(%rsi) + jne .Lavx2_00_47 + addl 0+64(%rsp),%r11d + andl %r8d,%r12d + rorxl $25,%r8d,%r13d + rorxl $11,%r8d,%r15d + leal (%rax,%r14,1),%eax + leal (%r11,%r12,1),%r11d + andnl %r10d,%r8d,%r12d + xorl %r15d,%r13d + rorxl $6,%r8d,%r14d + leal (%r11,%r12,1),%r11d + xorl %r14d,%r13d + movl %eax,%r15d + rorxl $22,%eax,%r12d + leal (%r11,%r13,1),%r11d + xorl %ebx,%r15d + rorxl $13,%eax,%r14d + rorxl $2,%eax,%r13d + leal (%rdx,%r11,1),%edx + andl %r15d,%edi + xorl %r12d,%r14d + xorl %ebx,%edi + xorl %r13d,%r14d + leal (%r11,%rdi,1),%r11d + movl %r8d,%r12d + addl 4+64(%rsp),%r10d + andl %edx,%r12d + rorxl $25,%edx,%r13d + rorxl $11,%edx,%edi + leal (%r11,%r14,1),%r11d + leal (%r10,%r12,1),%r10d + andnl %r9d,%edx,%r12d + xorl %edi,%r13d + rorxl $6,%edx,%r14d + leal (%r10,%r12,1),%r10d + xorl %r14d,%r13d + movl %r11d,%edi + rorxl $22,%r11d,%r12d + leal (%r10,%r13,1),%r10d + xorl %eax,%edi + rorxl $13,%r11d,%r14d + rorxl $2,%r11d,%r13d + leal (%rcx,%r10,1),%ecx + andl %edi,%r15d + xorl %r12d,%r14d + xorl %eax,%r15d + xorl %r13d,%r14d + leal (%r10,%r15,1),%r10d + movl %edx,%r12d + addl 8+64(%rsp),%r9d + andl %ecx,%r12d + rorxl $25,%ecx,%r13d + rorxl $11,%ecx,%r15d + leal (%r10,%r14,1),%r10d + leal (%r9,%r12,1),%r9d + andnl %r8d,%ecx,%r12d + xorl %r15d,%r13d + rorxl $6,%ecx,%r14d + leal (%r9,%r12,1),%r9d + xorl %r14d,%r13d + movl %r10d,%r15d + rorxl $22,%r10d,%r12d + leal (%r9,%r13,1),%r9d + xorl %r11d,%r15d + rorxl $13,%r10d,%r14d + rorxl $2,%r10d,%r13d + leal (%rbx,%r9,1),%ebx + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r11d,%edi + xorl %r13d,%r14d + leal (%r9,%rdi,1),%r9d + movl %ecx,%r12d + addl 12+64(%rsp),%r8d + andl %ebx,%r12d + rorxl $25,%ebx,%r13d + rorxl $11,%ebx,%edi + leal (%r9,%r14,1),%r9d + leal (%r8,%r12,1),%r8d + andnl %edx,%ebx,%r12d + xorl %edi,%r13d + rorxl $6,%ebx,%r14d + leal (%r8,%r12,1),%r8d + xorl %r14d,%r13d + movl %r9d,%edi + rorxl $22,%r9d,%r12d + leal (%r8,%r13,1),%r8d + xorl %r10d,%edi + rorxl $13,%r9d,%r14d + rorxl $2,%r9d,%r13d + leal (%rax,%r8,1),%eax + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r10d,%r15d + xorl %r13d,%r14d + leal (%r8,%r15,1),%r8d + movl %ebx,%r12d + addl 32+64(%rsp),%edx + andl %eax,%r12d + rorxl $25,%eax,%r13d + rorxl $11,%eax,%r15d + leal (%r8,%r14,1),%r8d + leal (%rdx,%r12,1),%edx + andnl %ecx,%eax,%r12d + xorl %r15d,%r13d + rorxl $6,%eax,%r14d + leal (%rdx,%r12,1),%edx + xorl %r14d,%r13d + movl %r8d,%r15d + rorxl $22,%r8d,%r12d + leal (%rdx,%r13,1),%edx + xorl %r9d,%r15d + rorxl $13,%r8d,%r14d + rorxl $2,%r8d,%r13d + leal (%r11,%rdx,1),%r11d + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r9d,%edi + xorl %r13d,%r14d + leal (%rdx,%rdi,1),%edx + movl %eax,%r12d + addl 36+64(%rsp),%ecx + andl %r11d,%r12d + rorxl $25,%r11d,%r13d + rorxl $11,%r11d,%edi + leal (%rdx,%r14,1),%edx + leal (%rcx,%r12,1),%ecx + andnl %ebx,%r11d,%r12d + xorl %edi,%r13d + rorxl $6,%r11d,%r14d + leal (%rcx,%r12,1),%ecx + xorl %r14d,%r13d + movl %edx,%edi + rorxl $22,%edx,%r12d + leal (%rcx,%r13,1),%ecx + xorl %r8d,%edi + rorxl $13,%edx,%r14d + rorxl $2,%edx,%r13d + leal (%r10,%rcx,1),%r10d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r8d,%r15d + xorl %r13d,%r14d + leal (%rcx,%r15,1),%ecx + movl %r11d,%r12d + addl 40+64(%rsp),%ebx + andl %r10d,%r12d + rorxl $25,%r10d,%r13d + rorxl $11,%r10d,%r15d + leal (%rcx,%r14,1),%ecx + leal (%rbx,%r12,1),%ebx + andnl %eax,%r10d,%r12d + xorl %r15d,%r13d + rorxl $6,%r10d,%r14d + leal (%rbx,%r12,1),%ebx + xorl %r14d,%r13d + movl %ecx,%r15d + rorxl $22,%ecx,%r12d + leal (%rbx,%r13,1),%ebx + xorl %edx,%r15d + rorxl $13,%ecx,%r14d + rorxl $2,%ecx,%r13d + leal (%r9,%rbx,1),%r9d + andl %r15d,%edi + xorl %r12d,%r14d + xorl %edx,%edi + xorl %r13d,%r14d + leal (%rbx,%rdi,1),%ebx + movl %r10d,%r12d + addl 44+64(%rsp),%eax + andl %r9d,%r12d + rorxl $25,%r9d,%r13d + rorxl $11,%r9d,%edi + leal (%rbx,%r14,1),%ebx + leal (%rax,%r12,1),%eax + andnl %r11d,%r9d,%r12d + xorl %edi,%r13d + rorxl $6,%r9d,%r14d + leal (%rax,%r12,1),%eax + xorl %r14d,%r13d + movl %ebx,%edi + rorxl $22,%ebx,%r12d + leal (%rax,%r13,1),%eax + xorl %ecx,%edi + rorxl $13,%ebx,%r14d + rorxl $2,%ebx,%r13d + leal (%r8,%rax,1),%r8d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %ecx,%r15d + xorl %r13d,%r14d + leal (%rax,%r15,1),%eax + movl %r9d,%r12d + addl 0(%rsp),%r11d + andl %r8d,%r12d + rorxl $25,%r8d,%r13d + rorxl $11,%r8d,%r15d + leal (%rax,%r14,1),%eax + leal (%r11,%r12,1),%r11d + andnl %r10d,%r8d,%r12d + xorl %r15d,%r13d + rorxl $6,%r8d,%r14d + leal (%r11,%r12,1),%r11d + xorl %r14d,%r13d + movl %eax,%r15d + rorxl $22,%eax,%r12d + leal (%r11,%r13,1),%r11d + xorl %ebx,%r15d + rorxl $13,%eax,%r14d + rorxl $2,%eax,%r13d + leal (%rdx,%r11,1),%edx + andl %r15d,%edi + xorl %r12d,%r14d + xorl %ebx,%edi + xorl %r13d,%r14d + leal (%r11,%rdi,1),%r11d + movl %r8d,%r12d + addl 4(%rsp),%r10d + andl %edx,%r12d + rorxl $25,%edx,%r13d + rorxl $11,%edx,%edi + leal (%r11,%r14,1),%r11d + leal (%r10,%r12,1),%r10d + andnl %r9d,%edx,%r12d + xorl %edi,%r13d + rorxl $6,%edx,%r14d + leal (%r10,%r12,1),%r10d + xorl %r14d,%r13d + movl %r11d,%edi + rorxl $22,%r11d,%r12d + leal (%r10,%r13,1),%r10d + xorl %eax,%edi + rorxl $13,%r11d,%r14d + rorxl $2,%r11d,%r13d + leal (%rcx,%r10,1),%ecx + andl %edi,%r15d + xorl %r12d,%r14d + xorl %eax,%r15d + xorl %r13d,%r14d + leal (%r10,%r15,1),%r10d + movl %edx,%r12d + addl 8(%rsp),%r9d + andl %ecx,%r12d + rorxl $25,%ecx,%r13d + rorxl $11,%ecx,%r15d + leal (%r10,%r14,1),%r10d + leal (%r9,%r12,1),%r9d + andnl %r8d,%ecx,%r12d + xorl %r15d,%r13d + rorxl $6,%ecx,%r14d + leal (%r9,%r12,1),%r9d + xorl %r14d,%r13d + movl %r10d,%r15d + rorxl $22,%r10d,%r12d + leal (%r9,%r13,1),%r9d + xorl %r11d,%r15d + rorxl $13,%r10d,%r14d + rorxl $2,%r10d,%r13d + leal (%rbx,%r9,1),%ebx + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r11d,%edi + xorl %r13d,%r14d + leal (%r9,%rdi,1),%r9d + movl %ecx,%r12d + addl 12(%rsp),%r8d + andl %ebx,%r12d + rorxl $25,%ebx,%r13d + rorxl $11,%ebx,%edi + leal (%r9,%r14,1),%r9d + leal (%r8,%r12,1),%r8d + andnl %edx,%ebx,%r12d + xorl %edi,%r13d + rorxl $6,%ebx,%r14d + leal (%r8,%r12,1),%r8d + xorl %r14d,%r13d + movl %r9d,%edi + rorxl $22,%r9d,%r12d + leal (%r8,%r13,1),%r8d + xorl %r10d,%edi + rorxl $13,%r9d,%r14d + rorxl $2,%r9d,%r13d + leal (%rax,%r8,1),%eax + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r10d,%r15d + xorl %r13d,%r14d + leal (%r8,%r15,1),%r8d + movl %ebx,%r12d + addl 32(%rsp),%edx + andl %eax,%r12d + rorxl $25,%eax,%r13d + rorxl $11,%eax,%r15d + leal (%r8,%r14,1),%r8d + leal (%rdx,%r12,1),%edx + andnl %ecx,%eax,%r12d + xorl %r15d,%r13d + rorxl $6,%eax,%r14d + leal (%rdx,%r12,1),%edx + xorl %r14d,%r13d + movl %r8d,%r15d + rorxl $22,%r8d,%r12d + leal (%rdx,%r13,1),%edx + xorl %r9d,%r15d + rorxl $13,%r8d,%r14d + rorxl $2,%r8d,%r13d + leal (%r11,%rdx,1),%r11d + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r9d,%edi + xorl %r13d,%r14d + leal (%rdx,%rdi,1),%edx + movl %eax,%r12d + addl 36(%rsp),%ecx + andl %r11d,%r12d + rorxl $25,%r11d,%r13d + rorxl $11,%r11d,%edi + leal (%rdx,%r14,1),%edx + leal (%rcx,%r12,1),%ecx + andnl %ebx,%r11d,%r12d + xorl %edi,%r13d + rorxl $6,%r11d,%r14d + leal (%rcx,%r12,1),%ecx + xorl %r14d,%r13d + movl %edx,%edi + rorxl $22,%edx,%r12d + leal (%rcx,%r13,1),%ecx + xorl %r8d,%edi + rorxl $13,%edx,%r14d + rorxl $2,%edx,%r13d + leal (%r10,%rcx,1),%r10d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r8d,%r15d + xorl %r13d,%r14d + leal (%rcx,%r15,1),%ecx + movl %r11d,%r12d + addl 40(%rsp),%ebx + andl %r10d,%r12d + rorxl $25,%r10d,%r13d + rorxl $11,%r10d,%r15d + leal (%rcx,%r14,1),%ecx + leal (%rbx,%r12,1),%ebx + andnl %eax,%r10d,%r12d + xorl %r15d,%r13d + rorxl $6,%r10d,%r14d + leal (%rbx,%r12,1),%ebx + xorl %r14d,%r13d + movl %ecx,%r15d + rorxl $22,%ecx,%r12d + leal (%rbx,%r13,1),%ebx + xorl %edx,%r15d + rorxl $13,%ecx,%r14d + rorxl $2,%ecx,%r13d + leal (%r9,%rbx,1),%r9d + andl %r15d,%edi + xorl %r12d,%r14d + xorl %edx,%edi + xorl %r13d,%r14d + leal (%rbx,%rdi,1),%ebx + movl %r10d,%r12d + addl 44(%rsp),%eax + andl %r9d,%r12d + rorxl $25,%r9d,%r13d + rorxl $11,%r9d,%edi + leal (%rbx,%r14,1),%ebx + leal (%rax,%r12,1),%eax + andnl %r11d,%r9d,%r12d + xorl %edi,%r13d + rorxl $6,%r9d,%r14d + leal (%rax,%r12,1),%eax + xorl %r14d,%r13d + movl %ebx,%edi + rorxl $22,%ebx,%r12d + leal (%rax,%r13,1),%eax + xorl %ecx,%edi + rorxl $13,%ebx,%r14d + rorxl $2,%ebx,%r13d + leal (%r8,%rax,1),%r8d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %ecx,%r15d + xorl %r13d,%r14d + leal (%rax,%r15,1),%eax + movl %r9d,%r12d + movq -64(%rbp),%rdi + addl %r14d,%eax + movl -56(%rbp),%r12d + + addl 0(%rdi),%eax + addl 4(%rdi),%ebx + addl 8(%rdi),%ecx + addl 12(%rdi),%edx + addl 16(%rdi),%r8d + addl 20(%rdi),%r9d + addl 24(%rdi),%r10d + addl 28(%rdi),%r11d + + movl %eax,0(%rdi) + movl %ebx,4(%rdi) + movl %ecx,8(%rdi) + movl %edx,12(%rdi) + movl %r8d,16(%rdi) + movl %r9d,20(%rdi) + movl %r10d,24(%rdi) + movl %r11d,28(%rdi) + + cmpl -48(%rbp),%r12d + je .Ldone_avx2 + + leaq 448(%rsp),%rsi + xorl %r14d,%r14d + movl %ebx,%edi + xorl %ecx,%edi + movl %r9d,%r12d + jmp .Lower_avx2 +.p2align 4 +.Lower_avx2: + addl 0+16(%rsi),%r11d + andl %r8d,%r12d + rorxl $25,%r8d,%r13d + rorxl $11,%r8d,%r15d + leal (%rax,%r14,1),%eax + leal (%r11,%r12,1),%r11d + andnl %r10d,%r8d,%r12d + xorl %r15d,%r13d + rorxl $6,%r8d,%r14d + leal (%r11,%r12,1),%r11d + xorl %r14d,%r13d + movl %eax,%r15d + rorxl $22,%eax,%r12d + leal (%r11,%r13,1),%r11d + xorl %ebx,%r15d + rorxl $13,%eax,%r14d + rorxl $2,%eax,%r13d + leal (%rdx,%r11,1),%edx + andl %r15d,%edi + xorl %r12d,%r14d + xorl %ebx,%edi + xorl %r13d,%r14d + leal (%r11,%rdi,1),%r11d + movl %r8d,%r12d + addl 4+16(%rsi),%r10d + andl %edx,%r12d + rorxl $25,%edx,%r13d + rorxl $11,%edx,%edi + leal (%r11,%r14,1),%r11d + leal (%r10,%r12,1),%r10d + andnl %r9d,%edx,%r12d + xorl %edi,%r13d + rorxl $6,%edx,%r14d + leal (%r10,%r12,1),%r10d + xorl %r14d,%r13d + movl %r11d,%edi + rorxl $22,%r11d,%r12d + leal (%r10,%r13,1),%r10d + xorl %eax,%edi + rorxl $13,%r11d,%r14d + rorxl $2,%r11d,%r13d + leal (%rcx,%r10,1),%ecx + andl %edi,%r15d + xorl %r12d,%r14d + xorl %eax,%r15d + xorl %r13d,%r14d + leal (%r10,%r15,1),%r10d + movl %edx,%r12d + addl 8+16(%rsi),%r9d + andl %ecx,%r12d + rorxl $25,%ecx,%r13d + rorxl $11,%ecx,%r15d + leal (%r10,%r14,1),%r10d + leal (%r9,%r12,1),%r9d + andnl %r8d,%ecx,%r12d + xorl %r15d,%r13d + rorxl $6,%ecx,%r14d + leal (%r9,%r12,1),%r9d + xorl %r14d,%r13d + movl %r10d,%r15d + rorxl $22,%r10d,%r12d + leal (%r9,%r13,1),%r9d + xorl %r11d,%r15d + rorxl $13,%r10d,%r14d + rorxl $2,%r10d,%r13d + leal (%rbx,%r9,1),%ebx + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r11d,%edi + xorl %r13d,%r14d + leal (%r9,%rdi,1),%r9d + movl %ecx,%r12d + addl 12+16(%rsi),%r8d + andl %ebx,%r12d + rorxl $25,%ebx,%r13d + rorxl $11,%ebx,%edi + leal (%r9,%r14,1),%r9d + leal (%r8,%r12,1),%r8d + andnl %edx,%ebx,%r12d + xorl %edi,%r13d + rorxl $6,%ebx,%r14d + leal (%r8,%r12,1),%r8d + xorl %r14d,%r13d + movl %r9d,%edi + rorxl $22,%r9d,%r12d + leal (%r8,%r13,1),%r8d + xorl %r10d,%edi + rorxl $13,%r9d,%r14d + rorxl $2,%r9d,%r13d + leal (%rax,%r8,1),%eax + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r10d,%r15d + xorl %r13d,%r14d + leal (%r8,%r15,1),%r8d + movl %ebx,%r12d + addl 32+16(%rsi),%edx + andl %eax,%r12d + rorxl $25,%eax,%r13d + rorxl $11,%eax,%r15d + leal (%r8,%r14,1),%r8d + leal (%rdx,%r12,1),%edx + andnl %ecx,%eax,%r12d + xorl %r15d,%r13d + rorxl $6,%eax,%r14d + leal (%rdx,%r12,1),%edx + xorl %r14d,%r13d + movl %r8d,%r15d + rorxl $22,%r8d,%r12d + leal (%rdx,%r13,1),%edx + xorl %r9d,%r15d + rorxl $13,%r8d,%r14d + rorxl $2,%r8d,%r13d + leal (%r11,%rdx,1),%r11d + andl %r15d,%edi + xorl %r12d,%r14d + xorl %r9d,%edi + xorl %r13d,%r14d + leal (%rdx,%rdi,1),%edx + movl %eax,%r12d + addl 36+16(%rsi),%ecx + andl %r11d,%r12d + rorxl $25,%r11d,%r13d + rorxl $11,%r11d,%edi + leal (%rdx,%r14,1),%edx + leal (%rcx,%r12,1),%ecx + andnl %ebx,%r11d,%r12d + xorl %edi,%r13d + rorxl $6,%r11d,%r14d + leal (%rcx,%r12,1),%ecx + xorl %r14d,%r13d + movl %edx,%edi + rorxl $22,%edx,%r12d + leal (%rcx,%r13,1),%ecx + xorl %r8d,%edi + rorxl $13,%edx,%r14d + rorxl $2,%edx,%r13d + leal (%r10,%rcx,1),%r10d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %r8d,%r15d + xorl %r13d,%r14d + leal (%rcx,%r15,1),%ecx + movl %r11d,%r12d + addl 40+16(%rsi),%ebx + andl %r10d,%r12d + rorxl $25,%r10d,%r13d + rorxl $11,%r10d,%r15d + leal (%rcx,%r14,1),%ecx + leal (%rbx,%r12,1),%ebx + andnl %eax,%r10d,%r12d + xorl %r15d,%r13d + rorxl $6,%r10d,%r14d + leal (%rbx,%r12,1),%ebx + xorl %r14d,%r13d + movl %ecx,%r15d + rorxl $22,%ecx,%r12d + leal (%rbx,%r13,1),%ebx + xorl %edx,%r15d + rorxl $13,%ecx,%r14d + rorxl $2,%ecx,%r13d + leal (%r9,%rbx,1),%r9d + andl %r15d,%edi + xorl %r12d,%r14d + xorl %edx,%edi + xorl %r13d,%r14d + leal (%rbx,%rdi,1),%ebx + movl %r10d,%r12d + addl 44+16(%rsi),%eax + andl %r9d,%r12d + rorxl $25,%r9d,%r13d + rorxl $11,%r9d,%edi + leal (%rbx,%r14,1),%ebx + leal (%rax,%r12,1),%eax + andnl %r11d,%r9d,%r12d + xorl %edi,%r13d + rorxl $6,%r9d,%r14d + leal (%rax,%r12,1),%eax + xorl %r14d,%r13d + movl %ebx,%edi + rorxl $22,%ebx,%r12d + leal (%rax,%r13,1),%eax + xorl %ecx,%edi + rorxl $13,%ebx,%r14d + rorxl $2,%ebx,%r13d + leal (%r8,%rax,1),%r8d + andl %edi,%r15d + xorl %r12d,%r14d + xorl %ecx,%r15d + xorl %r13d,%r14d + leal (%rax,%r15,1),%eax + movl %r9d,%r12d + leaq -64(%rsi),%rsi + cmpq %rsp,%rsi + jae .Lower_avx2 + + movq -64(%rbp),%rdi + addl %r14d,%eax + movq -56(%rbp),%rsi + leaq 448(%rsp),%rsp + + addl 0(%rdi),%eax + addl 4(%rdi),%ebx + addl 8(%rdi),%ecx + addl 12(%rdi),%edx + addl 16(%rdi),%r8d + addl 20(%rdi),%r9d + leaq 128(%rsi),%rsi + addl 24(%rdi),%r10d + movq %rsi,%r12 + addl 28(%rdi),%r11d + cmpq -48(%rbp),%rsi + + movl %eax,0(%rdi) + cmoveq %rsp,%r12 + movl %ebx,4(%rdi) + movl %ecx,8(%rdi) + movl %edx,12(%rdi) + movl %r8d,16(%rdi) + movl %r9d,20(%rdi) + movl %r10d,24(%rdi) + movl %r11d,28(%rdi) + + jbe .Loop_avx2 + +.Ldone_avx2: + vzeroupper + movaps -160(%rbp),%xmm6 + movaps -144(%rbp),%xmm7 + movaps -128(%rbp),%xmm8 + movaps -112(%rbp),%xmm9 + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp + + popq %rbp + +.LSEH_epilogue_crypton_sha256_asm_block_data_order_avx2: + mov 8(%rsp),%rdi + mov 16(%rsp),%rsi + + .byte 0xf3,0xc3 + +.LSEH_end_crypton_sha256_asm_block_data_order_avx2: +.section .pdata +.p2align 2 +.rva .LSEH_begin_crypton_sha256_asm_block_data_order +.rva .LSEH_body_crypton_sha256_asm_block_data_order +.rva .LSEH_info_crypton_sha256_asm_block_data_order_prologue + +.rva .LSEH_body_crypton_sha256_asm_block_data_order +.rva .LSEH_epilogue_crypton_sha256_asm_block_data_order +.rva .LSEH_info_crypton_sha256_asm_block_data_order_body + +.rva .LSEH_epilogue_crypton_sha256_asm_block_data_order +.rva .LSEH_end_crypton_sha256_asm_block_data_order +.rva .LSEH_info_crypton_sha256_asm_block_data_order_epilogue + +.rva .LSEH_begin_crypton_sha256_asm_block_data_order_shaext +.rva .LSEH_body_crypton_sha256_asm_block_data_order_shaext +.rva .LSEH_info_crypton_sha256_asm_block_data_order_shaext_prologue + +.rva .LSEH_body_crypton_sha256_asm_block_data_order_shaext +.rva .LSEH_epilogue_crypton_sha256_asm_block_data_order_shaext +.rva .LSEH_info_crypton_sha256_asm_block_data_order_shaext_body + +.rva .LSEH_epilogue_crypton_sha256_asm_block_data_order_shaext +.rva .LSEH_end_crypton_sha256_asm_block_data_order_shaext +.rva .LSEH_info_crypton_sha256_asm_block_data_order_shaext_epilogue + +.rva .LSEH_begin_crypton_sha256_asm_block_data_order_ssse3 +.rva .LSEH_body_crypton_sha256_asm_block_data_order_ssse3 +.rva .LSEH_info_crypton_sha256_asm_block_data_order_ssse3_prologue + +.rva .LSEH_body_crypton_sha256_asm_block_data_order_ssse3 +.rva .LSEH_epilogue_crypton_sha256_asm_block_data_order_ssse3 +.rva .LSEH_info_crypton_sha256_asm_block_data_order_ssse3_body + +.rva .LSEH_epilogue_crypton_sha256_asm_block_data_order_ssse3 +.rva .LSEH_end_crypton_sha256_asm_block_data_order_ssse3 +.rva .LSEH_info_crypton_sha256_asm_block_data_order_ssse3_epilogue + +.rva .LSEH_begin_crypton_sha256_asm_block_data_order_avx +.rva .LSEH_body_crypton_sha256_asm_block_data_order_avx +.rva .LSEH_info_crypton_sha256_asm_block_data_order_avx_prologue + +.rva .LSEH_body_crypton_sha256_asm_block_data_order_avx +.rva .LSEH_epilogue_crypton_sha256_asm_block_data_order_avx +.rva .LSEH_info_crypton_sha256_asm_block_data_order_avx_body + +.rva .LSEH_epilogue_crypton_sha256_asm_block_data_order_avx +.rva .LSEH_end_crypton_sha256_asm_block_data_order_avx +.rva .LSEH_info_crypton_sha256_asm_block_data_order_avx_epilogue + +.rva .LSEH_begin_crypton_sha256_asm_block_data_order_avx2 +.rva .LSEH_body_crypton_sha256_asm_block_data_order_avx2 +.rva .LSEH_info_crypton_sha256_asm_block_data_order_avx2_prologue + +.rva .LSEH_body_crypton_sha256_asm_block_data_order_avx2 +.rva .LSEH_epilogue_crypton_sha256_asm_block_data_order_avx2 +.rva .LSEH_info_crypton_sha256_asm_block_data_order_avx2_body + +.rva .LSEH_epilogue_crypton_sha256_asm_block_data_order_avx2 +.rva .LSEH_end_crypton_sha256_asm_block_data_order_avx2 +.rva .LSEH_info_crypton_sha256_asm_block_data_order_avx2_epilogue + +.section .xdata +.p2align 3 +.LSEH_info_crypton_sha256_asm_block_data_order_prologue: +.byte 1,4,6,0x05 +.byte 4,0x74,2,0 +.byte 4,0x64,3,0 +.byte 4,0x53 +.byte 1,0x50 +.long 0,0 +.LSEH_info_crypton_sha256_asm_block_data_order_body: +.byte 1,0,18,0 +.byte 0x00,0xf4,0x0b,0x00 +.byte 0x00,0xe4,0x0c,0x00 +.byte 0x00,0xd4,0x0d,0x00 +.byte 0x00,0xc4,0x0e,0x00 +.byte 0x00,0x34,0x0f,0x00 +.byte 0x00,0x54,0x10,0x00 +.byte 0x00,0x74,0x12,0x00 +.byte 0x00,0x64,0x13,0x00 +.byte 0x00,0x01,0x11,0x00 +.byte 0x00,0x00,0x00,0x00 +.byte 0x00,0x00,0x00,0x00 +.LSEH_info_crypton_sha256_asm_block_data_order_epilogue: +.byte 1,0,5,11 +.byte 0x00,0x74,0x01,0x00 +.byte 0x00,0x64,0x02,0x00 +.byte 0x00,0xb3 +.byte 0x00,0x00,0x00,0x00,0x00,0x00 +.byte 0x00,0x00,0x00,0x00 + +.LSEH_info_crypton_sha256_asm_block_data_order_shaext_prologue: +.byte 1,4,6,0x05 +.byte 4,0x74,2,0 +.byte 4,0x64,3,0 +.byte 4,0x53 +.byte 1,0x50 +.long 0,0 +.LSEH_info_crypton_sha256_asm_block_data_order_shaext_body: +.byte 1,0,17,85 +.byte 0x00,0x68,0x00,0x00 +.byte 0x00,0x78,0x01,0x00 +.byte 0x00,0x88,0x02,0x00 +.byte 0x00,0x98,0x03,0x00 +.byte 0x00,0xa8,0x04,0x00 +.byte 0x00,0x74,0x0c,0x00 +.byte 0x00,0x64,0x0d,0x00 +.byte 0x00,0x53 +.byte 0x00,0x92 +.byte 0x00,0x50 +.byte 0x00,0x00,0x00,0x00,0x00,0x00 +.byte 0x00,0x00,0x00,0x00 +.LSEH_info_crypton_sha256_asm_block_data_order_shaext_epilogue: +.byte 1,0,4,0 +.byte 0x00,0x74,0x01,0x00 +.byte 0x00,0x64,0x02,0x00 +.byte 0x00,0x00,0x00,0x00 + +.LSEH_info_crypton_sha256_asm_block_data_order_ssse3_prologue: +.byte 1,4,6,0x05 +.byte 4,0x74,2,0 +.byte 4,0x64,3,0 +.byte 4,0x53 +.byte 1,0x50 +.long 0,0 +.LSEH_info_crypton_sha256_asm_block_data_order_ssse3_body: +.byte 1,0,25,133 +.byte 0x00,0x68,0x00,0x00 +.byte 0x00,0x78,0x01,0x00 +.byte 0x00,0x88,0x02,0x00 +.byte 0x00,0x98,0x03,0x00 +.byte 0x00,0xf4,0x0b,0x00 +.byte 0x00,0xe4,0x0c,0x00 +.byte 0x00,0xd4,0x0d,0x00 +.byte 0x00,0xc4,0x0e,0x00 +.byte 0x00,0x34,0x0f,0x00 +.byte 0x00,0x74,0x12,0x00 +.byte 0x00,0x64,0x13,0x00 +.byte 0x00,0x53 +.byte 0x00,0xf2 +.byte 0x00,0x50 +.byte 0x00,0x00,0x00,0x00,0x00,0x00 +.byte 0x00,0x00,0x00,0x00 +.LSEH_info_crypton_sha256_asm_block_data_order_ssse3_epilogue: +.byte 1,0,4,0 +.byte 0x00,0x74,0x01,0x00 +.byte 0x00,0x64,0x02,0x00 +.byte 0x00,0x00,0x00,0x00 + +.LSEH_info_crypton_sha256_asm_block_data_order_avx_prologue: +.byte 1,4,6,0x05 +.byte 4,0x74,2,0 +.byte 4,0x64,3,0 +.byte 4,0x53 +.byte 1,0x50 +.long 0,0 +.LSEH_info_crypton_sha256_asm_block_data_order_avx_body: +.byte 1,0,26,165 +.byte 0x00,0x68,0x00,0x00 +.byte 0x00,0x78,0x01,0x00 +.byte 0x00,0x88,0x02,0x00 +.byte 0x00,0x98,0x03,0x00 +.byte 0x00,0xf4,0x0f,0x00 +.byte 0x00,0xe4,0x10,0x00 +.byte 0x00,0xd4,0x11,0x00 +.byte 0x00,0xc4,0x12,0x00 +.byte 0x00,0x34,0x13,0x00 +.byte 0x00,0x74,0x16,0x00 +.byte 0x00,0x64,0x17,0x00 +.byte 0x00,0x53 +.byte 0x00,0x01,0x14,0x00 +.byte 0x00,0x50 +.byte 0x00,0x00,0x00,0x00 +.byte 0x00,0x00,0x00,0x00 +.LSEH_info_crypton_sha256_asm_block_data_order_avx_epilogue: +.byte 1,0,4,0 +.byte 0x00,0x74,0x01,0x00 +.byte 0x00,0x64,0x02,0x00 +.byte 0x00,0x00,0x00,0x00 + +.LSEH_info_crypton_sha256_asm_block_data_order_avx2_prologue: +.byte 1,4,6,0x05 +.byte 4,0x74,2,0 +.byte 4,0x64,3,0 +.byte 4,0x53 +.byte 1,0x50 +.long 0,0 +.LSEH_info_crypton_sha256_asm_block_data_order_avx2_body: +.byte 1,0,26,165 +.byte 0x00,0x68,0x00,0x00 +.byte 0x00,0x78,0x01,0x00 +.byte 0x00,0x88,0x02,0x00 +.byte 0x00,0x98,0x03,0x00 +.byte 0x00,0xf4,0x0f,0x00 +.byte 0x00,0xe4,0x10,0x00 +.byte 0x00,0xd4,0x11,0x00 +.byte 0x00,0xc4,0x12,0x00 +.byte 0x00,0x34,0x13,0x00 +.byte 0x00,0x74,0x16,0x00 +.byte 0x00,0x64,0x17,0x00 +.byte 0x00,0x53 +.byte 0x00,0x01,0x14,0x00 +.byte 0x00,0x50 +.byte 0x00,0x00,0x00,0x00 +.byte 0x00,0x00,0x00,0x00 +.LSEH_info_crypton_sha256_asm_block_data_order_avx2_epilogue: +.byte 1,0,4,0 +.byte 0x00,0x74,0x01,0x00 +.byte 0x00,0x64,0x02,0x00 +.byte 0x00,0x00,0x00,0x00 + diff --git a/cbits/asm/sha512-armv8.pl b/cbits/asm/sha512-armv8.pl new file mode 100644 --- /dev/null +++ b/cbits/asm/sha512-armv8.pl @@ -0,0 +1,892 @@ +#!/usr/bin/env perl +# SPDX-License-Identifier: GPL-1.0+ OR BSD-3-Clause +# +# ==================================================================== +# Written by Andy Polyakov, @dot-asm, initially for the OpenSSL +# project. +# ==================================================================== +# +# SHA256/512 for ARMv8. +# +# Performance in cycles per processed byte and improvement coefficient +# over code generated with "default" compiler: +# +# SHA256-hw SHA256(*) SHA512 +# Apple A7 1.97 10.5 (+33%) 6.73 (-1%(**)) +# Apple A10 1.30 5.81 +# Apple A12 1.31 5.06 +# Apple A14/M1 1.30 8.19 (+14%) 2.24 (hw) +# Cortex-A53 2.38 15.5 (+115%) 10.0 (+150%(***)) +# Cortex-A57 2.31 11.6 (+86%) 7.51 (+260%(***)) +# Cortex-A76 1.60 9.5 6.05 +# Cortex-X2 1.60 7.3 2.60 (hw) +# Cortex-X925 1.57 5.97 2.55 (hw) +# Denver 2.01 10.5 (+26%) 6.70 (+8%) +# X-Gene 20.0 (+100%) 12.8 (+300%(***)) +# Mongoose 2.36 13.0 (+50%) 8.36 (+33%) +# Kryo 1.92 17.4 (+30%) 11.2 (+8%) +# ThunderX2 2.54 13.2 (+40%) 8.40 (+18%) +# Shapdragon X 1.40 7.43 2.23 (hw) +# +# (*) Software SHA256 results are of lesser relevance, presented +# mostly for informational purposes. +# (**) The result is a trade-off: it's possible to improve it by +# 10% (or by 1 cycle per round), but at the cost of 20% loss +# on Cortex-A53 (or by 4 cycles per round). +# (***) Super-impressive coefficients over gcc-generated code are +# indication of some compiler "pathology", most notably code +# generated with -mgeneral-regs-only is significantly faster +# and the gap is only 40-90%. +# +# October 2016. +# +# Originally it was reckoned that it makes no sense to implement NEON +# version of SHA256 for 64-bit processors. This is because performance +# improvement on most wide-spread Cortex-A5x processors was observed +# to be marginal, same on Cortex-A53 and ~10% on A57. But then it was +# observed that 32-bit NEON SHA256 performs significantly better than +# 64-bit scalar version on *some* of the more recent processors. As +# result 64-bit NEON version of SHA256 was added to provide best +# all-round performance. For example it executes ~30% faster on X-Gene +# and Mongoose. [For reference, NEON version of SHA512 is bound to +# deliver much less improvement, likely *negative* on Cortex-A5x. +# Which is why NEON support is limited to SHA256.] + +$flavour = shift; +$output = shift; + +if ($flavour && $flavour ne "void") { + $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; + ( $xlate="${dir}arm-xlate.pl" and -f $xlate ) or + ( $xlate="${dir}../../perlasm/arm-xlate.pl" and -f $xlate) or + die "can't locate arm-xlate.pl"; + + open STDOUT,"| \"$^X\" $xlate $flavour $output"; +} else { + open STDOUT,">$output"; +} + +if ($output =~ /512/) { + $BITS=512; + $SZ=8; + @Sigma0=(28,34,39); + @Sigma1=(14,18,41); + @sigma0=(1, 8, 7); + @sigma1=(19,61, 6); + $rounds=80; + $reg_t="x"; +} else { + $BITS=256; + $SZ=4; + @Sigma0=( 2,13,22); + @Sigma1=( 6,11,25); + @sigma0=( 7,18, 3); + @sigma1=(17,19,10); + $rounds=64; + $reg_t="w"; +} + +$func="sha${BITS}_block_data_order"; + +($ctx,$inp,$num,$Ktbl)=map("x$_",(0..2,30)); + +@X=map("$reg_t$_",(3..15,0..2)); +@V=($A,$B,$C,$D,$E,$F,$G,$H)=map("$reg_t$_",(20..27)); +($t0,$t1,$t2,$t3)=map("$reg_t$_",(16,17,19,28)); + +sub BODY_00_xx { +my ($i,$a,$b,$c,$d,$e,$f,$g,$h)=@_; +my $j=($i+1)&15; +my ($T0,$T1,$T2)=(@X[($i-8)&15],@X[($i-9)&15],@X[($i-10)&15]); + $T0=@X[$i+3] if ($i<11); + +$code.=<<___ if ($i<16); +#ifndef __AARCH64EB__ + rev @X[$i],@X[$i] // $i +#endif +___ +$code.=<<___ if ($i<13 && ($i&1)); + ldp @X[$i+1],@X[$i+2],[$inp],#2*$SZ +___ +$code.=<<___ if ($i==13); + ldp @X[14],@X[15],[$inp] +___ +$code.=<<___ if ($i>=14); + ldr @X[($i-11)&15],[sp,#`$SZ*(($i-11)%4)`] +___ +$code.=<<___ if ($i>0 && $i<16); + add $a,$a,$t1 // h+=Sigma0(a) +___ +$code.=<<___ if ($i>=11); + str @X[($i-8)&15],[sp,#`$SZ*(($i-8)%4)`] +___ +# While ARMv8 specifies merged rotate-n-logical operation such as +# 'eor x,y,z,ror#n', it was found to negatively affect performance +# on Apple A7. The reason seems to be that it requires even 'y' to +# be available earlier. This means that such merged instruction is +# not necessarily best choice on critical path... On the other hand +# Cortex-A5x handles merged instructions much better than disjoint +# rotate and logical... See (**) footnote above. +$code.=<<___ if ($i<15); + ror $t0,$e,#$Sigma1[0] + add $h,$h,$t2 // h+=K[i] + eor $T0,$e,$e,ror#`$Sigma1[2]-$Sigma1[1]` + and $t1,$f,$e + bic $t2,$g,$e + add $h,$h,@X[$i&15] // h+=X[i] + orr $t1,$t1,$t2 // Ch(e,f,g) + eor $t2,$a,$b // a^b, b^c in next round + eor $t0,$t0,$T0,ror#$Sigma1[1] // Sigma1(e) + ror $T0,$a,#$Sigma0[0] + add $h,$h,$t1 // h+=Ch(e,f,g) + eor $t1,$a,$a,ror#`$Sigma0[2]-$Sigma0[1]` + add $h,$h,$t0 // h+=Sigma1(e) + and $t3,$t3,$t2 // (b^c)&=(a^b) + add $d,$d,$h // d+=h + eor $t3,$t3,$b // Maj(a,b,c) + eor $t1,$T0,$t1,ror#$Sigma0[1] // Sigma0(a) + add $h,$h,$t3 // h+=Maj(a,b,c) + ldr $t3,[$Ktbl],#$SZ // *K++, $t2 in next round + //add $h,$h,$t1 // h+=Sigma0(a) +___ +$code.=<<___ if ($i>=15); + ror $t0,$e,#$Sigma1[0] + add $h,$h,$t2 // h+=K[i] + ror $T1,@X[($j+1)&15],#$sigma0[0] + and $t1,$f,$e + ror $T2,@X[($j+14)&15],#$sigma1[0] + bic $t2,$g,$e + ror $T0,$a,#$Sigma0[0] + add $h,$h,@X[$i&15] // h+=X[i] + eor $t0,$t0,$e,ror#$Sigma1[1] + eor $T1,$T1,@X[($j+1)&15],ror#$sigma0[1] + orr $t1,$t1,$t2 // Ch(e,f,g) + eor $t2,$a,$b // a^b, b^c in next round + eor $t0,$t0,$e,ror#$Sigma1[2] // Sigma1(e) + eor $T0,$T0,$a,ror#$Sigma0[1] + add $h,$h,$t1 // h+=Ch(e,f,g) + and $t3,$t3,$t2 // (b^c)&=(a^b) + eor $T2,$T2,@X[($j+14)&15],ror#$sigma1[1] + eor $T1,$T1,@X[($j+1)&15],lsr#$sigma0[2] // sigma0(X[i+1]) + add $h,$h,$t0 // h+=Sigma1(e) + eor $t3,$t3,$b // Maj(a,b,c) + eor $t1,$T0,$a,ror#$Sigma0[2] // Sigma0(a) + eor $T2,$T2,@X[($j+14)&15],lsr#$sigma1[2] // sigma1(X[i+14]) + add @X[$j],@X[$j],@X[($j+9)&15] + add $d,$d,$h // d+=h + add $h,$h,$t3 // h+=Maj(a,b,c) + ldr $t3,[$Ktbl],#$SZ // *K++, $t2 in next round + add @X[$j],@X[$j],$T1 + add $h,$h,$t1 // h+=Sigma0(a) + add @X[$j],@X[$j],$T2 +___ + ($t2,$t3)=($t3,$t2); +} + +$code.=<<___; +#ifndef __KERNEL__ +# include "arm_arch.h" +.extern OPENSSL_armcap_P +#endif + +.text + +.globl $func +.type $func,%function +.align 6 +$func: +#ifndef __KERNEL__ + adrp c16,OPENSSL_armcap_P + ldr w16,[c16,#:lo12:OPENSSL_armcap_P] +___ +$code.=<<___ if ($SZ==4); + tst w16,#ARMV8_SHA256 + b.ne .Lv8_entry + tst w16,#ARMV7_NEON + b.ne .Lneon_entry +___ +$code.=<<___ if ($SZ==8); + tst w16,#ARMV8_SHA512 + b.ne .Lv8_entry +___ +$code.=<<___; +#endif + .inst 0xd503233f // paciasp + stp c29,c30,[csp,#-16*__SIZEOF_POINTER__]! + add c29,csp,#0 + + stp c19,c20,[csp,#2*__SIZEOF_POINTER__] + stp c21,c22,[csp,#4*__SIZEOF_POINTER__] + stp c23,c24,[csp,#6*__SIZEOF_POINTER__] + stp c25,c26,[csp,#8*__SIZEOF_POINTER__] + stp c27,c28,[csp,#10*__SIZEOF_POINTER__] + sub csp,csp,#4*$SZ + + ldp $A,$B,[$ctx] // load context + ldp $C,$D,[$ctx,#2*$SZ] + lsl $num,$num,#`log(16*$SZ)/log(2)` + ldp $E,$F,[$ctx,#4*$SZ] + cadd $num,$inp,$num // end of input + ldp $G,$H,[$ctx,#6*$SZ] + adr $Ktbl,.LK$BITS + stp c#$ctx,c#$num,[c29,#12*__SIZEOF_POINTER__] + +.Loop: + ldp @X[0],@X[1],[$inp],#2*$SZ + ldr $t2,[$Ktbl],#$SZ // *K++ + eor $t3,$B,$C // magic seed + str c#$inp,[c29,#14*__SIZEOF_POINTER__] +___ +for ($i=0;$i<16;$i++) { &BODY_00_xx($i,@V); unshift(@V,pop(@V)); } +$code.=".Loop_16_xx:\n"; +for (;$i<32;$i++) { &BODY_00_xx($i,@V); unshift(@V,pop(@V)); } +$code.=<<___; + cbnz $t2,.Loop_16_xx + + ldp c#$ctx,c#$num,[c29,#12*__SIZEOF_POINTER__] + ldr c#$inp,[c29,#14*__SIZEOF_POINTER__] + csub $Ktbl,$Ktbl,#`$SZ*($rounds+1)` // rewind + + ldp @X[0],@X[1],[$ctx] + ldp @X[2],@X[3],[$ctx,#2*$SZ] + cadd $inp,$inp,#14*$SZ // advance input pointer + ldp @X[4],@X[5],[$ctx,#4*$SZ] + add $A,$A,@X[0] + ldp @X[6],@X[7],[$ctx,#6*$SZ] + add $B,$B,@X[1] + add $C,$C,@X[2] + add $D,$D,@X[3] + stp $A,$B,[$ctx] + add $E,$E,@X[4] + add $F,$F,@X[5] + stp $C,$D,[$ctx,#2*$SZ] + add $G,$G,@X[6] + add $H,$H,@X[7] + cmp $inp,$num + stp $E,$F,[$ctx,#4*$SZ] + stp $G,$H,[$ctx,#6*$SZ] + b.ne .Loop + + ldp c19,c20,[c29,#2*__SIZEOF_POINTER__] + add csp,csp,#4*$SZ + ldp c21,c22,[c29,#4*__SIZEOF_POINTER__] + ldp c23,c24,[c29,#6*__SIZEOF_POINTER__] + ldp c25,c26,[c29,#8*__SIZEOF_POINTER__] + ldp c27,c28,[c29,#10*__SIZEOF_POINTER__] + ldp c29,c30,[csp],#16*__SIZEOF_POINTER__ + .inst 0xd50323bf // autiasp + ret +.size $func,.-$func + +.align 6 +.type .LK$BITS,%object +.LK$BITS: +___ +$code.=<<___ if ($SZ==8); + .quad 0x428a2f98d728ae22,0x7137449123ef65cd + .quad 0xb5c0fbcfec4d3b2f,0xe9b5dba58189dbbc + .quad 0x3956c25bf348b538,0x59f111f1b605d019 + .quad 0x923f82a4af194f9b,0xab1c5ed5da6d8118 + .quad 0xd807aa98a3030242,0x12835b0145706fbe + .quad 0x243185be4ee4b28c,0x550c7dc3d5ffb4e2 + .quad 0x72be5d74f27b896f,0x80deb1fe3b1696b1 + .quad 0x9bdc06a725c71235,0xc19bf174cf692694 + .quad 0xe49b69c19ef14ad2,0xefbe4786384f25e3 + .quad 0x0fc19dc68b8cd5b5,0x240ca1cc77ac9c65 + .quad 0x2de92c6f592b0275,0x4a7484aa6ea6e483 + .quad 0x5cb0a9dcbd41fbd4,0x76f988da831153b5 + .quad 0x983e5152ee66dfab,0xa831c66d2db43210 + .quad 0xb00327c898fb213f,0xbf597fc7beef0ee4 + .quad 0xc6e00bf33da88fc2,0xd5a79147930aa725 + .quad 0x06ca6351e003826f,0x142929670a0e6e70 + .quad 0x27b70a8546d22ffc,0x2e1b21385c26c926 + .quad 0x4d2c6dfc5ac42aed,0x53380d139d95b3df + .quad 0x650a73548baf63de,0x766a0abb3c77b2a8 + .quad 0x81c2c92e47edaee6,0x92722c851482353b + .quad 0xa2bfe8a14cf10364,0xa81a664bbc423001 + .quad 0xc24b8b70d0f89791,0xc76c51a30654be30 + .quad 0xd192e819d6ef5218,0xd69906245565a910 + .quad 0xf40e35855771202a,0x106aa07032bbd1b8 + .quad 0x19a4c116b8d2d0c8,0x1e376c085141ab53 + .quad 0x2748774cdf8eeb99,0x34b0bcb5e19b48a8 + .quad 0x391c0cb3c5c95a63,0x4ed8aa4ae3418acb + .quad 0x5b9cca4f7763e373,0x682e6ff3d6b2b8a3 + .quad 0x748f82ee5defb2fc,0x78a5636f43172f60 + .quad 0x84c87814a1f0ab72,0x8cc702081a6439ec + .quad 0x90befffa23631e28,0xa4506cebde82bde9 + .quad 0xbef9a3f7b2c67915,0xc67178f2e372532b + .quad 0xca273eceea26619c,0xd186b8c721c0c207 + .quad 0xeada7dd6cde0eb1e,0xf57d4f7fee6ed178 + .quad 0x06f067aa72176fba,0x0a637dc5a2c898a6 + .quad 0x113f9804bef90dae,0x1b710b35131c471b + .quad 0x28db77f523047d84,0x32caab7b40c72493 + .quad 0x3c9ebe0a15c9bebc,0x431d67c49c100d4c + .quad 0x4cc5d4becb3e42b6,0x597f299cfc657e2a + .quad 0x5fcb6fab3ad6faec,0x6c44198c4a475817 + .quad 0 // terminator +___ +$code.=<<___ if ($SZ==4); + .long 0x428a2f98,0x71374491,0xb5c0fbcf,0xe9b5dba5 + .long 0x3956c25b,0x59f111f1,0x923f82a4,0xab1c5ed5 + .long 0xd807aa98,0x12835b01,0x243185be,0x550c7dc3 + .long 0x72be5d74,0x80deb1fe,0x9bdc06a7,0xc19bf174 + .long 0xe49b69c1,0xefbe4786,0x0fc19dc6,0x240ca1cc + .long 0x2de92c6f,0x4a7484aa,0x5cb0a9dc,0x76f988da + .long 0x983e5152,0xa831c66d,0xb00327c8,0xbf597fc7 + .long 0xc6e00bf3,0xd5a79147,0x06ca6351,0x14292967 + .long 0x27b70a85,0x2e1b2138,0x4d2c6dfc,0x53380d13 + .long 0x650a7354,0x766a0abb,0x81c2c92e,0x92722c85 + .long 0xa2bfe8a1,0xa81a664b,0xc24b8b70,0xc76c51a3 + .long 0xd192e819,0xd6990624,0xf40e3585,0x106aa070 + .long 0x19a4c116,0x1e376c08,0x2748774c,0x34b0bcb5 + .long 0x391c0cb3,0x4ed8aa4a,0x5b9cca4f,0x682e6ff3 + .long 0x748f82ee,0x78a5636f,0x84c87814,0x8cc70208 + .long 0x90befffa,0xa4506ceb,0xbef9a3f7,0xc67178f2 + .long 0 //terminator +___ +$code.=<<___; +.size .LK$BITS,.-.LK$BITS +.asciz "SHA$BITS block transform for ARMv8, CRYPTOGAMS by \@dot-asm" +.align 2 +___ + +if ($SZ==4) { +my $Ktbl="x3"; + +my ($ABCD,$EFGH,$abcd)=map("v$_.16b",(0..2)); +my @MSG=map("v$_.16b",(4..7)); +my ($W0,$W1)=("v16.4s","v17.4s"); +my ($ABCD_SAVE,$EFGH_SAVE)=("v18.16b","v19.16b"); + +$code.=<<___; +#ifndef __KERNEL__ +.type sha256_block_armv8,%function +.align 6 +sha256_block_armv8: +.Lv8_entry: + stp c29,c30,[csp,#-2*__SIZEOF_POINTER__]! + add c29,csp,#0 + + ld1.32 {$ABCD,$EFGH},[$ctx] + adr $Ktbl,.LK256 + +.Loop_hw: + ld1 {@MSG[0]-@MSG[3]},[$inp],#64 + sub $num,$num,#1 + ld1.32 {$W0},[$Ktbl],#16 + rev32 @MSG[0],@MSG[0] + rev32 @MSG[1],@MSG[1] + rev32 @MSG[2],@MSG[2] + rev32 @MSG[3],@MSG[3] + orr $ABCD_SAVE,$ABCD,$ABCD // offload + orr $EFGH_SAVE,$EFGH,$EFGH +___ +for($i=0;$i<12;$i++) { +$code.=<<___; + ld1.32 {$W1},[$Ktbl],#16 + add.i32 $W0,$W0,@MSG[0] + sha256su0 @MSG[0],@MSG[1] + orr $abcd,$ABCD,$ABCD + sha256h $ABCD,$EFGH,$W0 + sha256h2 $EFGH,$abcd,$W0 + sha256su1 @MSG[0],@MSG[2],@MSG[3] +___ + ($W0,$W1)=($W1,$W0); push(@MSG,shift(@MSG)); +} +$code.=<<___; + ld1.32 {$W1},[$Ktbl],#16 + add.i32 $W0,$W0,@MSG[0] + orr $abcd,$ABCD,$ABCD + sha256h $ABCD,$EFGH,$W0 + sha256h2 $EFGH,$abcd,$W0 + + ld1.32 {$W0},[$Ktbl],#16 + add.i32 $W1,$W1,@MSG[1] + orr $abcd,$ABCD,$ABCD + sha256h $ABCD,$EFGH,$W1 + sha256h2 $EFGH,$abcd,$W1 + + ld1.32 {$W1},[$Ktbl] + add.i32 $W0,$W0,@MSG[2] + csub $Ktbl,$Ktbl,#$rounds*$SZ-16 // rewind + orr $abcd,$ABCD,$ABCD + sha256h $ABCD,$EFGH,$W0 + sha256h2 $EFGH,$abcd,$W0 + + add.i32 $W1,$W1,@MSG[3] + orr $abcd,$ABCD,$ABCD + sha256h $ABCD,$EFGH,$W1 + sha256h2 $EFGH,$abcd,$W1 + + add.i32 $ABCD,$ABCD,$ABCD_SAVE + add.i32 $EFGH,$EFGH,$EFGH_SAVE + + cbnz $num,.Loop_hw + + st1.32 {$ABCD,$EFGH},[$ctx] + + ldr c29,[csp],#2*__SIZEOF_POINTER__ + ret +.size sha256_block_armv8,.-sha256_block_armv8 +#endif +___ +} + +if ($SZ==4) { ######################################### NEON stuff # +# You'll surely note a lot of similarities with sha256-armv4 module, +# and of course it's not a coincidence. sha256-armv4 was used as +# initial template, but was adapted for ARMv8 instruction set and +# extensively re-tuned for all-round performance. + +my @V = ($A,$B,$C,$D,$E,$F,$G,$H) = map("w$_",(3..10)); +my ($t0,$t1,$t2,$t3,$t4) = map("w$_",(11..15)); +my $Ktbl="x16"; +my $Xfer="x17"; +my @X = map("q$_",(0..3)); +my ($T0,$T1,$T2,$T3,$T4,$T5,$T6,$T7) = map("q$_",(4..7,16..19)); +my $j=0; + +sub AUTOLOAD() # thunk [simplified] x86-style perlasm +{ my $opcode = $AUTOLOAD; $opcode =~ s/.*:://; $opcode =~ s/_/\./; + my $arg = pop; + $arg = "#$arg" if ($arg*1 eq $arg); + $code .= "\t$opcode\t".join(',',@_,$arg)."\n"; +} + +sub Dscalar { shift =~ m|[qv]([0-9]+)|?"d$1":""; } +sub Dlo { shift =~ m|[qv]([0-9]+)|?"v$1.d[0]":""; } +sub Dhi { shift =~ m|[qv]([0-9]+)|?"v$1.d[1]":""; } + +sub Xupdate() +{ use integer; + my $body = shift; + my @insns = (&$body,&$body,&$body,&$body); + my ($a,$b,$c,$d,$e,$f,$g,$h); + + &ext_8 ($T0,@X[0],@X[1],4); # X[1..4] + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &ext_8 ($T3,@X[2],@X[3],4); # X[9..12] + eval(shift(@insns)); + eval(shift(@insns)); + &mov (&Dscalar($T7),&Dhi(@X[3])); # X[14..15] + eval(shift(@insns)); + eval(shift(@insns)); + &ushr_32 ($T2,$T0,$sigma0[0]); + eval(shift(@insns)); + &ushr_32 ($T1,$T0,$sigma0[2]); + eval(shift(@insns)); + &add_32 (@X[0],@X[0],$T3); # X[0..3] += X[9..12] + eval(shift(@insns)); + &sli_32 ($T2,$T0,32-$sigma0[0]); + eval(shift(@insns)); + eval(shift(@insns)); + &ushr_32 ($T3,$T0,$sigma0[1]); + eval(shift(@insns)); + eval(shift(@insns)); + &eor_8 ($T1,$T1,$T2); + eval(shift(@insns)); + eval(shift(@insns)); + &sli_32 ($T3,$T0,32-$sigma0[1]); + eval(shift(@insns)); + eval(shift(@insns)); + &ushr_32 ($T4,$T7,$sigma1[0]); + eval(shift(@insns)); + eval(shift(@insns)); + &eor_8 ($T1,$T1,$T3); # sigma0(X[1..4]) + eval(shift(@insns)); + eval(shift(@insns)); + &sli_32 ($T4,$T7,32-$sigma1[0]); + eval(shift(@insns)); + eval(shift(@insns)); + &ushr_32 ($T5,$T7,$sigma1[2]); + eval(shift(@insns)); + eval(shift(@insns)); + &ushr_32 ($T3,$T7,$sigma1[1]); + eval(shift(@insns)); + eval(shift(@insns)); + &add_32 (@X[0],@X[0],$T1); # X[0..3] += sigma0(X[1..4]) + eval(shift(@insns)); + eval(shift(@insns)); + &sli_u32 ($T3,$T7,32-$sigma1[1]); + eval(shift(@insns)); + eval(shift(@insns)); + &eor_8 ($T5,$T5,$T4); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &eor_8 ($T5,$T5,$T3); # sigma1(X[14..15]) + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &add_32 (@X[0],@X[0],$T5); # X[0..1] += sigma1(X[14..15]) + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &ushr_32 ($T6,@X[0],$sigma1[0]); + eval(shift(@insns)); + &ushr_32 ($T7,@X[0],$sigma1[2]); + eval(shift(@insns)); + eval(shift(@insns)); + &sli_32 ($T6,@X[0],32-$sigma1[0]); + eval(shift(@insns)); + &ushr_32 ($T5,@X[0],$sigma1[1]); + eval(shift(@insns)); + eval(shift(@insns)); + &eor_8 ($T7,$T7,$T6); + eval(shift(@insns)); + eval(shift(@insns)); + &sli_32 ($T5,@X[0],32-$sigma1[1]); + eval(shift(@insns)); + eval(shift(@insns)); + &ld1_32 ("{$T0}","[$Ktbl], #16"); + eval(shift(@insns)); + &eor_8 ($T7,$T7,$T5); # sigma1(X[16..17]) + eval(shift(@insns)); + eval(shift(@insns)); + &eor_8 ($T5,$T5,$T5); + eval(shift(@insns)); + eval(shift(@insns)); + &mov (&Dhi($T5), &Dlo($T7)); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &add_32 (@X[0],@X[0],$T5); # X[2..3] += sigma1(X[16..17]) + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &add_32 ($T0,$T0,@X[0]); + while($#insns>=1) { eval(shift(@insns)); } + &st1_32 ("{$T0}","[$Xfer], #16"); + eval(shift(@insns)); + + push(@X,shift(@X)); # "rotate" X[] +} + +sub Xpreload() +{ use integer; + my $body = shift; + my @insns = (&$body,&$body,&$body,&$body); + my ($a,$b,$c,$d,$e,$f,$g,$h); + + eval(shift(@insns)); + eval(shift(@insns)); + &ld1_8 ("{@X[0]}","[$inp],#16"); + eval(shift(@insns)); + eval(shift(@insns)); + &ld1_32 ("{$T0}","[$Ktbl],#16"); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &rev32 (@X[0],@X[0]); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &add_32 ($T0,$T0,@X[0]); + foreach (@insns) { eval; } # remaining instructions + &st1_32 ("{$T0}","[$Xfer], #16"); + + push(@X,shift(@X)); # "rotate" X[] +} + +sub body_00_15 () { + ( + '($a,$b,$c,$d,$e,$f,$g,$h)=@V;'. + '&add ($h,$h,$t1)', # h+=X[i]+K[i] + '&add ($a,$a,$t4);'. # h+=Sigma0(a) from the past + '&and ($t1,$f,$e)', + '&bic ($t4,$g,$e)', + '&eor ($t0,$e,$e,"ror#".($Sigma1[1]-$Sigma1[0]))', + '&add ($a,$a,$t2)', # h+=Maj(a,b,c) from the past + '&orr ($t1,$t1,$t4)', # Ch(e,f,g) + '&eor ($t0,$t0,$e,"ror#".($Sigma1[2]-$Sigma1[0]))', # Sigma1(e) + '&eor ($t4,$a,$a,"ror#".($Sigma0[1]-$Sigma0[0]))', + '&add ($h,$h,$t1)', # h+=Ch(e,f,g) + '&ror ($t0,$t0,"#$Sigma1[0]")', + '&eor ($t2,$a,$b)', # a^b, b^c in next round + '&eor ($t4,$t4,$a,"ror#".($Sigma0[2]-$Sigma0[0]))', # Sigma0(a) + '&add ($h,$h,$t0)', # h+=Sigma1(e) + '&ldr ($t1,sprintf "[sp,#%d]",4*(($j+1)&15)) if (($j&15)!=15);'. + '&ldr ($t1,"[$Ktbl]") if ($j==15);'. + '&and ($t3,$t3,$t2)', # (b^c)&=(a^b) + '&ror ($t4,$t4,"#$Sigma0[0]")', + '&add ($d,$d,$h)', # d+=h + '&eor ($t3,$t3,$b)', # Maj(a,b,c) + '$j++; unshift(@V,pop(@V)); ($t2,$t3)=($t3,$t2);' + ) +} + +$code.=<<___; +#ifdef __KERNEL__ +.globl sha256_block_neon +#endif +.type sha256_block_neon,%function +.align 4 +sha256_block_neon: +.Lneon_entry: + stp c29, c30, [csp, #-2*__SIZEOF_POINTER__]! + mov c29, csp + sub csp,csp,#16*4 + + adr $Ktbl,.LK256 + add $num,$inp,$num,lsl#6 // len to point at the end of inp + + ld1.8 {@X[0]},[$inp], #16 + ld1.8 {@X[1]},[$inp], #16 + ld1.8 {@X[2]},[$inp], #16 + ld1.8 {@X[3]},[$inp], #16 + ld1.32 {$T0},[$Ktbl], #16 + ld1.32 {$T1},[$Ktbl], #16 + ld1.32 {$T2},[$Ktbl], #16 + ld1.32 {$T3},[$Ktbl], #16 + rev32 @X[0],@X[0] // yes, even on + rev32 @X[1],@X[1] // big-endian + rev32 @X[2],@X[2] + rev32 @X[3],@X[3] + cmov $Xfer,sp + add.32 $T0,$T0,@X[0] + add.32 $T1,$T1,@X[1] + add.32 $T2,$T2,@X[2] + st1.32 {$T0-$T1},[$Xfer], #32 + add.32 $T3,$T3,@X[3] + st1.32 {$T2-$T3},[$Xfer] + csub $Xfer,$Xfer,#32 + + ldp $A,$B,[$ctx] + ldp $C,$D,[$ctx,#8] + ldp $E,$F,[$ctx,#16] + ldp $G,$H,[$ctx,#24] + ldr $t1,[sp,#0] + mov $t2,wzr + eor $t3,$B,$C + mov $t4,wzr + b .L_00_48 + +.align 4 +.L_00_48: +___ + &Xupdate(\&body_00_15); + &Xupdate(\&body_00_15); + &Xupdate(\&body_00_15); + &Xupdate(\&body_00_15); +$code.=<<___; + cmp $t1,#0 // check for K256 terminator + ldr $t1,[sp,#0] + csub $Xfer,$Xfer,#64 + bne .L_00_48 + + csub $Ktbl,$Ktbl,#256 // rewind $Ktbl + cmp $inp,$num + mov $Xfer, #-64 + csel $Xfer, $Xfer, xzr, eq + cadd $inp,$inp,$Xfer // avoid SEGV + cmov $Xfer,sp +___ + &Xpreload(\&body_00_15); + &Xpreload(\&body_00_15); + &Xpreload(\&body_00_15); + &Xpreload(\&body_00_15); +$code.=<<___; + add $A,$A,$t4 // h+=Sigma0(a) from the past + ldp $t0,$t1,[$ctx,#0] + add $A,$A,$t2 // h+=Maj(a,b,c) from the past + ldp $t2,$t3,[$ctx,#8] + add $A,$A,$t0 // accumulate + add $B,$B,$t1 + ldp $t0,$t1,[$ctx,#16] + add $C,$C,$t2 + add $D,$D,$t3 + ldp $t2,$t3,[$ctx,#24] + add $E,$E,$t0 + add $F,$F,$t1 + ldr $t1,[sp,#0] + stp $A,$B,[$ctx,#0] + add $G,$G,$t2 + mov $t2,wzr + stp $C,$D,[$ctx,#8] + add $H,$H,$t3 + stp $E,$F,[$ctx,#16] + eor $t3,$B,$C + stp $G,$H,[$ctx,#24] + mov $t4,wzr + cmov $Xfer,sp + b.ne .L_00_48 + + ldr c29,[c29] + add csp,csp,#16*4+2*__SIZEOF_POINTER__ + ret +.size sha256_block_neon,.-sha256_block_neon +___ +} + +if ($SZ==8) { +my $Ktbl="x3"; + +my @H = map("v$_.16b",(0..4)); +my ($fg,$de,$m9_10)=map("v$_.16b",(5..7)); +my @MSG=map("v$_.16b",(16..23)); +my ($W0,$W1)=("v24.2d","v25.2d"); +my ($AB,$CD,$EF,$GH)=map("v$_.16b",(26..29)); + +$code.=<<___; +#ifndef __KERNEL__ +.type sha512_block_armv8,%function +.align 6 +sha512_block_armv8: +.Lv8_entry: + stp c29,c30,[csp,#-2*__SIZEOF_POINTER__]! + add c29,csp,#0 + + ld1 {@MSG[0]-@MSG[3]},[$inp],#64 // load input + ld1 {@MSG[4]-@MSG[7]},[$inp],#64 + + ld1.64 {@H[0]-@H[3]},[$ctx] // load context + adr $Ktbl,.LK512 + + rev64 @MSG[0],@MSG[0] + rev64 @MSG[1],@MSG[1] + rev64 @MSG[2],@MSG[2] + rev64 @MSG[3],@MSG[3] + rev64 @MSG[4],@MSG[4] + rev64 @MSG[5],@MSG[5] + rev64 @MSG[6],@MSG[6] + rev64 @MSG[7],@MSG[7] + b .Loop_hw + +.align 4 +.Loop_hw: + ld1.64 {$W0},[$Ktbl],#16 + subs $num,$num,#1 + sub c4,c#$inp,#128 + orr $AB,@H[0],@H[0] // offload + orr $CD,@H[1],@H[1] + orr $EF,@H[2],@H[2] + orr $GH,@H[3],@H[3] + csel c#$inp,c#$inp,c4,ne // conditional rewind +___ +for($i=0;$i<32;$i++) { +$code.=<<___; + add.i64 $W0,$W0,@MSG[0] + ld1.64 {$W1},[$Ktbl],#16 + ext $W0,$W0,$W0,#8 + ext $fg,@H[2],@H[3],#8 + ext $de,@H[1],@H[2],#8 + add.i64 @H[3],@H[3],$W0 // "T1 + H + K512[i]" + sha512su0 @MSG[0],@MSG[1] + ext $m9_10,@MSG[4],@MSG[5],#8 + sha512h @H[3],$fg,$de + sha512su1 @MSG[0],@MSG[7],$m9_10 + add.i64 @H[4],@H[1],@H[3] // "D + T1" + sha512h2 @H[3],$H[1],@H[0] +___ + ($W0,$W1)=($W1,$W0); push(@MSG,shift(@MSG)); + @H = (@H[3],@H[0],@H[4],@H[2],@H[1]); +} +for(;$i<40;$i++) { +$code.=<<___ if ($i<39); + ld1.64 {$W1},[$Ktbl],#16 +___ +$code.=<<___ if ($i==39); + csub $Ktbl,$Ktbl,#$rounds*$SZ // rewind +___ +$code.=<<___; + add.i64 $W0,$W0,@MSG[0] + ld1 {@MSG[0]},[$inp],#16 // load next input + ext $W0,$W0,$W0,#8 + ext $fg,@H[2],@H[3],#8 + ext $de,@H[1],@H[2],#8 + add.i64 @H[3],@H[3],$W0 // "T1 + H + K512[i]" + sha512h @H[3],$fg,$de + rev64 @MSG[0],@MSG[0] + add.i64 @H[4],@H[1],@H[3] // "D + T1" + sha512h2 @H[3],$H[1],@H[0] +___ + ($W0,$W1)=($W1,$W0); push(@MSG,shift(@MSG)); + @H = (@H[3],@H[0],@H[4],@H[2],@H[1]); +} +$code.=<<___; + add.i64 @H[0],@H[0],$AB // accumulate + add.i64 @H[1],@H[1],$CD + add.i64 @H[2],@H[2],$EF + add.i64 @H[3],@H[3],$GH + + cbnz $num,.Loop_hw + + st1.64 {@H[0]-@H[3]},[$ctx] // store context + + ldr c29,[csp],#2*__SIZEOF_POINTER__ + ret +.size sha512_block_armv8,.-sha512_block_armv8 +#endif +___ +} + +$code.=<<___; +#if !defined(__KERNEL__) && !defined(_WIN64) +.comm OPENSSL_armcap_P,4,4 +.hidden OPENSSL_armcap_P +#endif +___ + +{ my %opcode = ( + "sha256h" => 0x5e004000, "sha256h2" => 0x5e005000, + "sha256su0" => 0x5e282800, "sha256su1" => 0x5e006000 ); + + sub unsha256 { + my ($mnemonic,$arg)=@_; + + $arg =~ m/[qv]([0-9]+)[^,]*,\s*[qv]([0-9]+)[^,]*(?:,\s*[qv]([0-9]+))?/o + && + sprintf ".inst\t0x%08x\t//%s %s", + $opcode{$mnemonic}|$1|($2<<5)|($3<<16), + $mnemonic,$arg; + } +} + +{ my %opcode = ( + "sha512h" => 0xce608000, "sha512h2" => 0xce608400, + "sha512su0" => 0xcec08000, "sha512su1" => 0xce608800 ); + + sub unsha512 { + my ($mnemonic,$arg)=@_; + + $arg =~ m/[qv]([0-9]+)[^,]*,\s*[qv]([0-9]+)[^,]*(?:,\s*[qv]([0-9]+))?/o + && + sprintf ".inst\t0x%08x\t//%s %s", + $opcode{$mnemonic}|$1|($2<<5)|($3<<16), + $mnemonic,$arg; + } +} + +open SELF,$0; +while() { + next if (/^#!/); + last if (!s/^#/\/\// and !/^$/); + print; +} +close SELF; + +foreach(split("\n",$code)) { + + s/\`([^\`]*)\`/eval($1)/ge; + + s/\b(sha512\w+)\s+([qv].*)/unsha512($1,$2)/ge or + s/\b(sha256\w+)\s+([qv].*)/unsha256($1,$2)/ge; + + s/\bq([0-9]+)\b/v$1.16b/g; # old->new registers + + s/\.[ui]?8(\s)/$1/; + s/\.\w?64\b// and s/\.16b/\.2d/g or + s/\.\w?32\b// and s/\.16b/\.4s/g; + m/\bext\b/ and s/\.2d/\.16b/g or + m/(ld|st)1[^\[]+\[0\]/ and s/\.4s/\.s/g; + + s/([cw])#x([0-9]+)/$1$2/g; + + print $_,"\n"; +} + +close STDOUT; diff --git a/cbits/asm/sha512-x86_64-elf.S b/cbits/asm/sha512-x86_64-elf.S new file mode 100644 --- /dev/null +++ b/cbits/asm/sha512-x86_64-elf.S @@ -0,0 +1,5727 @@ +.text + + +.globl crypton_sha512_asm_block_data_order +.type crypton_sha512_asm_block_data_order,@function +.align 16 +crypton_sha512_asm_block_data_order: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp + leaq crypton_ia32cap_P(%rip),%rax + movl 0(%rax),%r9d + movl 4(%rax),%r10d + movl 8(%rax),%eax + testl $2048,%r10d + jnz .Lxop_shortcut + andl $296,%eax + cmpl $296,%eax + je .Lavx2_shortcut + andl $1073741824,%r9d + andl $268435968,%r10d + orl %r9d,%r10d + cmpl $1342177792,%r10d + je .Lavx_shortcut + pushq %rbx +.cfi_offset %rbx,-24 + pushq %r12 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_offset %r15,-56 + shlq $4,%rdx + subq $128+24,%rsp + +.cfi_def_cfa %rsp,208 + + leaq (%rsi,%rdx,8),%rdx + movq %rdi,128+0(%rsp) + movq %rsi,128+8(%rsp) + movq %rdx,128+16(%rsp) + + movq 0(%rdi),%rax + movq 8(%rdi),%rbx + movq 16(%rdi),%rcx + movq 24(%rdi),%rdx + movq 32(%rdi),%r8 + movq 40(%rdi),%r9 + movq 48(%rdi),%r10 + movq 56(%rdi),%r11 + jmp .Lloop + +.align 16 +.Lloop: + movq %rbx,%rdi + leaq K512(%rip),%rbp + xorq %rcx,%rdi + movq 0(%rsi),%r12 + movq %r8,%r13 + movq %rax,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r9,%r15 + + xorq %r8,%r13 + rorq $5,%r14 + xorq %r10,%r15 + + movq %r12,0(%rsp) + xorq %rax,%r14 + andq %r8,%r15 + + rorq $4,%r13 + addq %r11,%r12 + xorq %r10,%r15 + + rorq $6,%r14 + xorq %r8,%r13 + addq %r15,%r12 + + movq %rax,%r15 + addq (%rbp),%r12 + xorq %rax,%r14 + + xorq %rbx,%r15 + rorq $14,%r13 + movq %rbx,%r11 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r11 + addq %r12,%rdx + addq %r12,%r11 + + leaq 8(%rbp),%rbp + addq %r14,%r11 + movq 8(%rsi),%r12 + movq %rdx,%r13 + movq %r11,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r8,%rdi + + xorq %rdx,%r13 + rorq $5,%r14 + xorq %r9,%rdi + + movq %r12,8(%rsp) + xorq %r11,%r14 + andq %rdx,%rdi + + rorq $4,%r13 + addq %r10,%r12 + xorq %r9,%rdi + + rorq $6,%r14 + xorq %rdx,%r13 + addq %rdi,%r12 + + movq %r11,%rdi + addq (%rbp),%r12 + xorq %r11,%r14 + + xorq %rax,%rdi + rorq $14,%r13 + movq %rax,%r10 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r10 + addq %r12,%rcx + addq %r12,%r10 + + leaq 24(%rbp),%rbp + addq %r14,%r10 + movq 16(%rsi),%r12 + movq %rcx,%r13 + movq %r10,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rdx,%r15 + + xorq %rcx,%r13 + rorq $5,%r14 + xorq %r8,%r15 + + movq %r12,16(%rsp) + xorq %r10,%r14 + andq %rcx,%r15 + + rorq $4,%r13 + addq %r9,%r12 + xorq %r8,%r15 + + rorq $6,%r14 + xorq %rcx,%r13 + addq %r15,%r12 + + movq %r10,%r15 + addq (%rbp),%r12 + xorq %r10,%r14 + + xorq %r11,%r15 + rorq $14,%r13 + movq %r11,%r9 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r9 + addq %r12,%rbx + addq %r12,%r9 + + leaq 8(%rbp),%rbp + addq %r14,%r9 + movq 24(%rsi),%r12 + movq %rbx,%r13 + movq %r9,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rcx,%rdi + + xorq %rbx,%r13 + rorq $5,%r14 + xorq %rdx,%rdi + + movq %r12,24(%rsp) + xorq %r9,%r14 + andq %rbx,%rdi + + rorq $4,%r13 + addq %r8,%r12 + xorq %rdx,%rdi + + rorq $6,%r14 + xorq %rbx,%r13 + addq %rdi,%r12 + + movq %r9,%rdi + addq (%rbp),%r12 + xorq %r9,%r14 + + xorq %r10,%rdi + rorq $14,%r13 + movq %r10,%r8 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r8 + addq %r12,%rax + addq %r12,%r8 + + leaq 24(%rbp),%rbp + addq %r14,%r8 + movq 32(%rsi),%r12 + movq %rax,%r13 + movq %r8,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rbx,%r15 + + xorq %rax,%r13 + rorq $5,%r14 + xorq %rcx,%r15 + + movq %r12,32(%rsp) + xorq %r8,%r14 + andq %rax,%r15 + + rorq $4,%r13 + addq %rdx,%r12 + xorq %rcx,%r15 + + rorq $6,%r14 + xorq %rax,%r13 + addq %r15,%r12 + + movq %r8,%r15 + addq (%rbp),%r12 + xorq %r8,%r14 + + xorq %r9,%r15 + rorq $14,%r13 + movq %r9,%rdx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rdx + addq %r12,%r11 + addq %r12,%rdx + + leaq 8(%rbp),%rbp + addq %r14,%rdx + movq 40(%rsi),%r12 + movq %r11,%r13 + movq %rdx,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rax,%rdi + + xorq %r11,%r13 + rorq $5,%r14 + xorq %rbx,%rdi + + movq %r12,40(%rsp) + xorq %rdx,%r14 + andq %r11,%rdi + + rorq $4,%r13 + addq %rcx,%r12 + xorq %rbx,%rdi + + rorq $6,%r14 + xorq %r11,%r13 + addq %rdi,%r12 + + movq %rdx,%rdi + addq (%rbp),%r12 + xorq %rdx,%r14 + + xorq %r8,%rdi + rorq $14,%r13 + movq %r8,%rcx + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rcx + addq %r12,%r10 + addq %r12,%rcx + + leaq 24(%rbp),%rbp + addq %r14,%rcx + movq 48(%rsi),%r12 + movq %r10,%r13 + movq %rcx,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r11,%r15 + + xorq %r10,%r13 + rorq $5,%r14 + xorq %rax,%r15 + + movq %r12,48(%rsp) + xorq %rcx,%r14 + andq %r10,%r15 + + rorq $4,%r13 + addq %rbx,%r12 + xorq %rax,%r15 + + rorq $6,%r14 + xorq %r10,%r13 + addq %r15,%r12 + + movq %rcx,%r15 + addq (%rbp),%r12 + xorq %rcx,%r14 + + xorq %rdx,%r15 + rorq $14,%r13 + movq %rdx,%rbx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rbx + addq %r12,%r9 + addq %r12,%rbx + + leaq 8(%rbp),%rbp + addq %r14,%rbx + movq 56(%rsi),%r12 + movq %r9,%r13 + movq %rbx,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r10,%rdi + + xorq %r9,%r13 + rorq $5,%r14 + xorq %r11,%rdi + + movq %r12,56(%rsp) + xorq %rbx,%r14 + andq %r9,%rdi + + rorq $4,%r13 + addq %rax,%r12 + xorq %r11,%rdi + + rorq $6,%r14 + xorq %r9,%r13 + addq %rdi,%r12 + + movq %rbx,%rdi + addq (%rbp),%r12 + xorq %rbx,%r14 + + xorq %rcx,%rdi + rorq $14,%r13 + movq %rcx,%rax + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rax + addq %r12,%r8 + addq %r12,%rax + + leaq 24(%rbp),%rbp + addq %r14,%rax + movq 64(%rsi),%r12 + movq %r8,%r13 + movq %rax,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r9,%r15 + + xorq %r8,%r13 + rorq $5,%r14 + xorq %r10,%r15 + + movq %r12,64(%rsp) + xorq %rax,%r14 + andq %r8,%r15 + + rorq $4,%r13 + addq %r11,%r12 + xorq %r10,%r15 + + rorq $6,%r14 + xorq %r8,%r13 + addq %r15,%r12 + + movq %rax,%r15 + addq (%rbp),%r12 + xorq %rax,%r14 + + xorq %rbx,%r15 + rorq $14,%r13 + movq %rbx,%r11 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r11 + addq %r12,%rdx + addq %r12,%r11 + + leaq 8(%rbp),%rbp + addq %r14,%r11 + movq 72(%rsi),%r12 + movq %rdx,%r13 + movq %r11,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r8,%rdi + + xorq %rdx,%r13 + rorq $5,%r14 + xorq %r9,%rdi + + movq %r12,72(%rsp) + xorq %r11,%r14 + andq %rdx,%rdi + + rorq $4,%r13 + addq %r10,%r12 + xorq %r9,%rdi + + rorq $6,%r14 + xorq %rdx,%r13 + addq %rdi,%r12 + + movq %r11,%rdi + addq (%rbp),%r12 + xorq %r11,%r14 + + xorq %rax,%rdi + rorq $14,%r13 + movq %rax,%r10 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r10 + addq %r12,%rcx + addq %r12,%r10 + + leaq 24(%rbp),%rbp + addq %r14,%r10 + movq 80(%rsi),%r12 + movq %rcx,%r13 + movq %r10,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rdx,%r15 + + xorq %rcx,%r13 + rorq $5,%r14 + xorq %r8,%r15 + + movq %r12,80(%rsp) + xorq %r10,%r14 + andq %rcx,%r15 + + rorq $4,%r13 + addq %r9,%r12 + xorq %r8,%r15 + + rorq $6,%r14 + xorq %rcx,%r13 + addq %r15,%r12 + + movq %r10,%r15 + addq (%rbp),%r12 + xorq %r10,%r14 + + xorq %r11,%r15 + rorq $14,%r13 + movq %r11,%r9 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r9 + addq %r12,%rbx + addq %r12,%r9 + + leaq 8(%rbp),%rbp + addq %r14,%r9 + movq 88(%rsi),%r12 + movq %rbx,%r13 + movq %r9,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rcx,%rdi + + xorq %rbx,%r13 + rorq $5,%r14 + xorq %rdx,%rdi + + movq %r12,88(%rsp) + xorq %r9,%r14 + andq %rbx,%rdi + + rorq $4,%r13 + addq %r8,%r12 + xorq %rdx,%rdi + + rorq $6,%r14 + xorq %rbx,%r13 + addq %rdi,%r12 + + movq %r9,%rdi + addq (%rbp),%r12 + xorq %r9,%r14 + + xorq %r10,%rdi + rorq $14,%r13 + movq %r10,%r8 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r8 + addq %r12,%rax + addq %r12,%r8 + + leaq 24(%rbp),%rbp + addq %r14,%r8 + movq 96(%rsi),%r12 + movq %rax,%r13 + movq %r8,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rbx,%r15 + + xorq %rax,%r13 + rorq $5,%r14 + xorq %rcx,%r15 + + movq %r12,96(%rsp) + xorq %r8,%r14 + andq %rax,%r15 + + rorq $4,%r13 + addq %rdx,%r12 + xorq %rcx,%r15 + + rorq $6,%r14 + xorq %rax,%r13 + addq %r15,%r12 + + movq %r8,%r15 + addq (%rbp),%r12 + xorq %r8,%r14 + + xorq %r9,%r15 + rorq $14,%r13 + movq %r9,%rdx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rdx + addq %r12,%r11 + addq %r12,%rdx + + leaq 8(%rbp),%rbp + addq %r14,%rdx + movq 104(%rsi),%r12 + movq %r11,%r13 + movq %rdx,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rax,%rdi + + xorq %r11,%r13 + rorq $5,%r14 + xorq %rbx,%rdi + + movq %r12,104(%rsp) + xorq %rdx,%r14 + andq %r11,%rdi + + rorq $4,%r13 + addq %rcx,%r12 + xorq %rbx,%rdi + + rorq $6,%r14 + xorq %r11,%r13 + addq %rdi,%r12 + + movq %rdx,%rdi + addq (%rbp),%r12 + xorq %rdx,%r14 + + xorq %r8,%rdi + rorq $14,%r13 + movq %r8,%rcx + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rcx + addq %r12,%r10 + addq %r12,%rcx + + leaq 24(%rbp),%rbp + addq %r14,%rcx + movq 112(%rsi),%r12 + movq %r10,%r13 + movq %rcx,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r11,%r15 + + xorq %r10,%r13 + rorq $5,%r14 + xorq %rax,%r15 + + movq %r12,112(%rsp) + xorq %rcx,%r14 + andq %r10,%r15 + + rorq $4,%r13 + addq %rbx,%r12 + xorq %rax,%r15 + + rorq $6,%r14 + xorq %r10,%r13 + addq %r15,%r12 + + movq %rcx,%r15 + addq (%rbp),%r12 + xorq %rcx,%r14 + + xorq %rdx,%r15 + rorq $14,%r13 + movq %rdx,%rbx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rbx + addq %r12,%r9 + addq %r12,%rbx + + leaq 8(%rbp),%rbp + addq %r14,%rbx + movq 120(%rsi),%r12 + movq %r9,%r13 + movq %rbx,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r10,%rdi + + xorq %r9,%r13 + rorq $5,%r14 + xorq %r11,%rdi + + movq %r12,120(%rsp) + xorq %rbx,%r14 + andq %r9,%rdi + + rorq $4,%r13 + addq %rax,%r12 + xorq %r11,%rdi + + rorq $6,%r14 + xorq %r9,%r13 + addq %rdi,%r12 + + movq %rbx,%rdi + addq (%rbp),%r12 + xorq %rbx,%r14 + + xorq %rcx,%rdi + rorq $14,%r13 + movq %rcx,%rax + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rax + addq %r12,%r8 + addq %r12,%rax + + leaq 24(%rbp),%rbp + jmp .Lrounds_16_xx +.align 16 +.Lrounds_16_xx: + movq 8(%rsp),%r13 + movq 112(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rax + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 72(%rsp),%r12 + + addq 0(%rsp),%r12 + movq %r8,%r13 + addq %r15,%r12 + movq %rax,%r14 + rorq $23,%r13 + movq %r9,%r15 + + xorq %r8,%r13 + rorq $5,%r14 + xorq %r10,%r15 + + movq %r12,0(%rsp) + xorq %rax,%r14 + andq %r8,%r15 + + rorq $4,%r13 + addq %r11,%r12 + xorq %r10,%r15 + + rorq $6,%r14 + xorq %r8,%r13 + addq %r15,%r12 + + movq %rax,%r15 + addq (%rbp),%r12 + xorq %rax,%r14 + + xorq %rbx,%r15 + rorq $14,%r13 + movq %rbx,%r11 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r11 + addq %r12,%rdx + addq %r12,%r11 + + leaq 8(%rbp),%rbp + movq 16(%rsp),%r13 + movq 120(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r11 + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 80(%rsp),%r12 + + addq 8(%rsp),%r12 + movq %rdx,%r13 + addq %rdi,%r12 + movq %r11,%r14 + rorq $23,%r13 + movq %r8,%rdi + + xorq %rdx,%r13 + rorq $5,%r14 + xorq %r9,%rdi + + movq %r12,8(%rsp) + xorq %r11,%r14 + andq %rdx,%rdi + + rorq $4,%r13 + addq %r10,%r12 + xorq %r9,%rdi + + rorq $6,%r14 + xorq %rdx,%r13 + addq %rdi,%r12 + + movq %r11,%rdi + addq (%rbp),%r12 + xorq %r11,%r14 + + xorq %rax,%rdi + rorq $14,%r13 + movq %rax,%r10 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r10 + addq %r12,%rcx + addq %r12,%r10 + + leaq 24(%rbp),%rbp + movq 24(%rsp),%r13 + movq 0(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r10 + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 88(%rsp),%r12 + + addq 16(%rsp),%r12 + movq %rcx,%r13 + addq %r15,%r12 + movq %r10,%r14 + rorq $23,%r13 + movq %rdx,%r15 + + xorq %rcx,%r13 + rorq $5,%r14 + xorq %r8,%r15 + + movq %r12,16(%rsp) + xorq %r10,%r14 + andq %rcx,%r15 + + rorq $4,%r13 + addq %r9,%r12 + xorq %r8,%r15 + + rorq $6,%r14 + xorq %rcx,%r13 + addq %r15,%r12 + + movq %r10,%r15 + addq (%rbp),%r12 + xorq %r10,%r14 + + xorq %r11,%r15 + rorq $14,%r13 + movq %r11,%r9 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r9 + addq %r12,%rbx + addq %r12,%r9 + + leaq 8(%rbp),%rbp + movq 32(%rsp),%r13 + movq 8(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r9 + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 96(%rsp),%r12 + + addq 24(%rsp),%r12 + movq %rbx,%r13 + addq %rdi,%r12 + movq %r9,%r14 + rorq $23,%r13 + movq %rcx,%rdi + + xorq %rbx,%r13 + rorq $5,%r14 + xorq %rdx,%rdi + + movq %r12,24(%rsp) + xorq %r9,%r14 + andq %rbx,%rdi + + rorq $4,%r13 + addq %r8,%r12 + xorq %rdx,%rdi + + rorq $6,%r14 + xorq %rbx,%r13 + addq %rdi,%r12 + + movq %r9,%rdi + addq (%rbp),%r12 + xorq %r9,%r14 + + xorq %r10,%rdi + rorq $14,%r13 + movq %r10,%r8 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r8 + addq %r12,%rax + addq %r12,%r8 + + leaq 24(%rbp),%rbp + movq 40(%rsp),%r13 + movq 16(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r8 + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 104(%rsp),%r12 + + addq 32(%rsp),%r12 + movq %rax,%r13 + addq %r15,%r12 + movq %r8,%r14 + rorq $23,%r13 + movq %rbx,%r15 + + xorq %rax,%r13 + rorq $5,%r14 + xorq %rcx,%r15 + + movq %r12,32(%rsp) + xorq %r8,%r14 + andq %rax,%r15 + + rorq $4,%r13 + addq %rdx,%r12 + xorq %rcx,%r15 + + rorq $6,%r14 + xorq %rax,%r13 + addq %r15,%r12 + + movq %r8,%r15 + addq (%rbp),%r12 + xorq %r8,%r14 + + xorq %r9,%r15 + rorq $14,%r13 + movq %r9,%rdx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rdx + addq %r12,%r11 + addq %r12,%rdx + + leaq 8(%rbp),%rbp + movq 48(%rsp),%r13 + movq 24(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rdx + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 112(%rsp),%r12 + + addq 40(%rsp),%r12 + movq %r11,%r13 + addq %rdi,%r12 + movq %rdx,%r14 + rorq $23,%r13 + movq %rax,%rdi + + xorq %r11,%r13 + rorq $5,%r14 + xorq %rbx,%rdi + + movq %r12,40(%rsp) + xorq %rdx,%r14 + andq %r11,%rdi + + rorq $4,%r13 + addq %rcx,%r12 + xorq %rbx,%rdi + + rorq $6,%r14 + xorq %r11,%r13 + addq %rdi,%r12 + + movq %rdx,%rdi + addq (%rbp),%r12 + xorq %rdx,%r14 + + xorq %r8,%rdi + rorq $14,%r13 + movq %r8,%rcx + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rcx + addq %r12,%r10 + addq %r12,%rcx + + leaq 24(%rbp),%rbp + movq 56(%rsp),%r13 + movq 32(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rcx + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 120(%rsp),%r12 + + addq 48(%rsp),%r12 + movq %r10,%r13 + addq %r15,%r12 + movq %rcx,%r14 + rorq $23,%r13 + movq %r11,%r15 + + xorq %r10,%r13 + rorq $5,%r14 + xorq %rax,%r15 + + movq %r12,48(%rsp) + xorq %rcx,%r14 + andq %r10,%r15 + + rorq $4,%r13 + addq %rbx,%r12 + xorq %rax,%r15 + + rorq $6,%r14 + xorq %r10,%r13 + addq %r15,%r12 + + movq %rcx,%r15 + addq (%rbp),%r12 + xorq %rcx,%r14 + + xorq %rdx,%r15 + rorq $14,%r13 + movq %rdx,%rbx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rbx + addq %r12,%r9 + addq %r12,%rbx + + leaq 8(%rbp),%rbp + movq 64(%rsp),%r13 + movq 40(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rbx + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 0(%rsp),%r12 + + addq 56(%rsp),%r12 + movq %r9,%r13 + addq %rdi,%r12 + movq %rbx,%r14 + rorq $23,%r13 + movq %r10,%rdi + + xorq %r9,%r13 + rorq $5,%r14 + xorq %r11,%rdi + + movq %r12,56(%rsp) + xorq %rbx,%r14 + andq %r9,%rdi + + rorq $4,%r13 + addq %rax,%r12 + xorq %r11,%rdi + + rorq $6,%r14 + xorq %r9,%r13 + addq %rdi,%r12 + + movq %rbx,%rdi + addq (%rbp),%r12 + xorq %rbx,%r14 + + xorq %rcx,%rdi + rorq $14,%r13 + movq %rcx,%rax + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rax + addq %r12,%r8 + addq %r12,%rax + + leaq 24(%rbp),%rbp + movq 72(%rsp),%r13 + movq 48(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rax + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 8(%rsp),%r12 + + addq 64(%rsp),%r12 + movq %r8,%r13 + addq %r15,%r12 + movq %rax,%r14 + rorq $23,%r13 + movq %r9,%r15 + + xorq %r8,%r13 + rorq $5,%r14 + xorq %r10,%r15 + + movq %r12,64(%rsp) + xorq %rax,%r14 + andq %r8,%r15 + + rorq $4,%r13 + addq %r11,%r12 + xorq %r10,%r15 + + rorq $6,%r14 + xorq %r8,%r13 + addq %r15,%r12 + + movq %rax,%r15 + addq (%rbp),%r12 + xorq %rax,%r14 + + xorq %rbx,%r15 + rorq $14,%r13 + movq %rbx,%r11 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r11 + addq %r12,%rdx + addq %r12,%r11 + + leaq 8(%rbp),%rbp + movq 80(%rsp),%r13 + movq 56(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r11 + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 16(%rsp),%r12 + + addq 72(%rsp),%r12 + movq %rdx,%r13 + addq %rdi,%r12 + movq %r11,%r14 + rorq $23,%r13 + movq %r8,%rdi + + xorq %rdx,%r13 + rorq $5,%r14 + xorq %r9,%rdi + + movq %r12,72(%rsp) + xorq %r11,%r14 + andq %rdx,%rdi + + rorq $4,%r13 + addq %r10,%r12 + xorq %r9,%rdi + + rorq $6,%r14 + xorq %rdx,%r13 + addq %rdi,%r12 + + movq %r11,%rdi + addq (%rbp),%r12 + xorq %r11,%r14 + + xorq %rax,%rdi + rorq $14,%r13 + movq %rax,%r10 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r10 + addq %r12,%rcx + addq %r12,%r10 + + leaq 24(%rbp),%rbp + movq 88(%rsp),%r13 + movq 64(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r10 + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 24(%rsp),%r12 + + addq 80(%rsp),%r12 + movq %rcx,%r13 + addq %r15,%r12 + movq %r10,%r14 + rorq $23,%r13 + movq %rdx,%r15 + + xorq %rcx,%r13 + rorq $5,%r14 + xorq %r8,%r15 + + movq %r12,80(%rsp) + xorq %r10,%r14 + andq %rcx,%r15 + + rorq $4,%r13 + addq %r9,%r12 + xorq %r8,%r15 + + rorq $6,%r14 + xorq %rcx,%r13 + addq %r15,%r12 + + movq %r10,%r15 + addq (%rbp),%r12 + xorq %r10,%r14 + + xorq %r11,%r15 + rorq $14,%r13 + movq %r11,%r9 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r9 + addq %r12,%rbx + addq %r12,%r9 + + leaq 8(%rbp),%rbp + movq 96(%rsp),%r13 + movq 72(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r9 + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 32(%rsp),%r12 + + addq 88(%rsp),%r12 + movq %rbx,%r13 + addq %rdi,%r12 + movq %r9,%r14 + rorq $23,%r13 + movq %rcx,%rdi + + xorq %rbx,%r13 + rorq $5,%r14 + xorq %rdx,%rdi + + movq %r12,88(%rsp) + xorq %r9,%r14 + andq %rbx,%rdi + + rorq $4,%r13 + addq %r8,%r12 + xorq %rdx,%rdi + + rorq $6,%r14 + xorq %rbx,%r13 + addq %rdi,%r12 + + movq %r9,%rdi + addq (%rbp),%r12 + xorq %r9,%r14 + + xorq %r10,%rdi + rorq $14,%r13 + movq %r10,%r8 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r8 + addq %r12,%rax + addq %r12,%r8 + + leaq 24(%rbp),%rbp + movq 104(%rsp),%r13 + movq 80(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r8 + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 40(%rsp),%r12 + + addq 96(%rsp),%r12 + movq %rax,%r13 + addq %r15,%r12 + movq %r8,%r14 + rorq $23,%r13 + movq %rbx,%r15 + + xorq %rax,%r13 + rorq $5,%r14 + xorq %rcx,%r15 + + movq %r12,96(%rsp) + xorq %r8,%r14 + andq %rax,%r15 + + rorq $4,%r13 + addq %rdx,%r12 + xorq %rcx,%r15 + + rorq $6,%r14 + xorq %rax,%r13 + addq %r15,%r12 + + movq %r8,%r15 + addq (%rbp),%r12 + xorq %r8,%r14 + + xorq %r9,%r15 + rorq $14,%r13 + movq %r9,%rdx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rdx + addq %r12,%r11 + addq %r12,%rdx + + leaq 8(%rbp),%rbp + movq 112(%rsp),%r13 + movq 88(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rdx + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 48(%rsp),%r12 + + addq 104(%rsp),%r12 + movq %r11,%r13 + addq %rdi,%r12 + movq %rdx,%r14 + rorq $23,%r13 + movq %rax,%rdi + + xorq %r11,%r13 + rorq $5,%r14 + xorq %rbx,%rdi + + movq %r12,104(%rsp) + xorq %rdx,%r14 + andq %r11,%rdi + + rorq $4,%r13 + addq %rcx,%r12 + xorq %rbx,%rdi + + rorq $6,%r14 + xorq %r11,%r13 + addq %rdi,%r12 + + movq %rdx,%rdi + addq (%rbp),%r12 + xorq %rdx,%r14 + + xorq %r8,%rdi + rorq $14,%r13 + movq %r8,%rcx + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rcx + addq %r12,%r10 + addq %r12,%rcx + + leaq 24(%rbp),%rbp + movq 120(%rsp),%r13 + movq 96(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rcx + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 56(%rsp),%r12 + + addq 112(%rsp),%r12 + movq %r10,%r13 + addq %r15,%r12 + movq %rcx,%r14 + rorq $23,%r13 + movq %r11,%r15 + + xorq %r10,%r13 + rorq $5,%r14 + xorq %rax,%r15 + + movq %r12,112(%rsp) + xorq %rcx,%r14 + andq %r10,%r15 + + rorq $4,%r13 + addq %rbx,%r12 + xorq %rax,%r15 + + rorq $6,%r14 + xorq %r10,%r13 + addq %r15,%r12 + + movq %rcx,%r15 + addq (%rbp),%r12 + xorq %rcx,%r14 + + xorq %rdx,%r15 + rorq $14,%r13 + movq %rdx,%rbx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rbx + addq %r12,%r9 + addq %r12,%rbx + + leaq 8(%rbp),%rbp + movq 0(%rsp),%r13 + movq 104(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rbx + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 64(%rsp),%r12 + + addq 120(%rsp),%r12 + movq %r9,%r13 + addq %rdi,%r12 + movq %rbx,%r14 + rorq $23,%r13 + movq %r10,%rdi + + xorq %r9,%r13 + rorq $5,%r14 + xorq %r11,%rdi + + movq %r12,120(%rsp) + xorq %rbx,%r14 + andq %r9,%rdi + + rorq $4,%r13 + addq %rax,%r12 + xorq %r11,%rdi + + rorq $6,%r14 + xorq %r9,%r13 + addq %rdi,%r12 + + movq %rbx,%rdi + addq (%rbp),%r12 + xorq %rbx,%r14 + + xorq %rcx,%rdi + rorq $14,%r13 + movq %rcx,%rax + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rax + addq %r12,%r8 + addq %r12,%rax + + leaq 24(%rbp),%rbp + cmpb $0,7(%rbp) + jnz .Lrounds_16_xx + + movq 128+0(%rsp),%rdi + addq %r14,%rax + leaq 128(%rsi),%rsi + + addq 0(%rdi),%rax + addq 8(%rdi),%rbx + addq 16(%rdi),%rcx + addq 24(%rdi),%rdx + addq 32(%rdi),%r8 + addq 40(%rdi),%r9 + addq 48(%rdi),%r10 + addq 56(%rdi),%r11 + + cmpq 128+16(%rsp),%rsi + + movq %rax,0(%rdi) + movq %rbx,8(%rdi) + movq %rcx,16(%rdi) + movq %rdx,24(%rdi) + movq %r8,32(%rdi) + movq %r9,40(%rdi) + movq %r10,48(%rdi) + movq %r11,56(%rdi) + jb .Lloop + + leaq 128+24+48(%rsp),%r11 +.cfi_def_cfa %r11,8 + movq 128+24(%rsp),%r15 + movq -40(%r11),%r14 + movq -32(%r11),%r13 + movq -24(%r11),%r12 + movq -16(%r11),%rbx + movq -8(%r11),%rbp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbp +.cfi_restore %rbx + leaq (%r11),%rsp + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_sha512_asm_block_data_order,.-crypton_sha512_asm_block_data_order +.align 64 +.type K512,@object +K512: +.quad 0x428a2f98d728ae22,0x7137449123ef65cd +.quad 0x428a2f98d728ae22,0x7137449123ef65cd +.quad 0xb5c0fbcfec4d3b2f,0xe9b5dba58189dbbc +.quad 0xb5c0fbcfec4d3b2f,0xe9b5dba58189dbbc +.quad 0x3956c25bf348b538,0x59f111f1b605d019 +.quad 0x3956c25bf348b538,0x59f111f1b605d019 +.quad 0x923f82a4af194f9b,0xab1c5ed5da6d8118 +.quad 0x923f82a4af194f9b,0xab1c5ed5da6d8118 +.quad 0xd807aa98a3030242,0x12835b0145706fbe +.quad 0xd807aa98a3030242,0x12835b0145706fbe +.quad 0x243185be4ee4b28c,0x550c7dc3d5ffb4e2 +.quad 0x243185be4ee4b28c,0x550c7dc3d5ffb4e2 +.quad 0x72be5d74f27b896f,0x80deb1fe3b1696b1 +.quad 0x72be5d74f27b896f,0x80deb1fe3b1696b1 +.quad 0x9bdc06a725c71235,0xc19bf174cf692694 +.quad 0x9bdc06a725c71235,0xc19bf174cf692694 +.quad 0xe49b69c19ef14ad2,0xefbe4786384f25e3 +.quad 0xe49b69c19ef14ad2,0xefbe4786384f25e3 +.quad 0x0fc19dc68b8cd5b5,0x240ca1cc77ac9c65 +.quad 0x0fc19dc68b8cd5b5,0x240ca1cc77ac9c65 +.quad 0x2de92c6f592b0275,0x4a7484aa6ea6e483 +.quad 0x2de92c6f592b0275,0x4a7484aa6ea6e483 +.quad 0x5cb0a9dcbd41fbd4,0x76f988da831153b5 +.quad 0x5cb0a9dcbd41fbd4,0x76f988da831153b5 +.quad 0x983e5152ee66dfab,0xa831c66d2db43210 +.quad 0x983e5152ee66dfab,0xa831c66d2db43210 +.quad 0xb00327c898fb213f,0xbf597fc7beef0ee4 +.quad 0xb00327c898fb213f,0xbf597fc7beef0ee4 +.quad 0xc6e00bf33da88fc2,0xd5a79147930aa725 +.quad 0xc6e00bf33da88fc2,0xd5a79147930aa725 +.quad 0x06ca6351e003826f,0x142929670a0e6e70 +.quad 0x06ca6351e003826f,0x142929670a0e6e70 +.quad 0x27b70a8546d22ffc,0x2e1b21385c26c926 +.quad 0x27b70a8546d22ffc,0x2e1b21385c26c926 +.quad 0x4d2c6dfc5ac42aed,0x53380d139d95b3df +.quad 0x4d2c6dfc5ac42aed,0x53380d139d95b3df +.quad 0x650a73548baf63de,0x766a0abb3c77b2a8 +.quad 0x650a73548baf63de,0x766a0abb3c77b2a8 +.quad 0x81c2c92e47edaee6,0x92722c851482353b +.quad 0x81c2c92e47edaee6,0x92722c851482353b +.quad 0xa2bfe8a14cf10364,0xa81a664bbc423001 +.quad 0xa2bfe8a14cf10364,0xa81a664bbc423001 +.quad 0xc24b8b70d0f89791,0xc76c51a30654be30 +.quad 0xc24b8b70d0f89791,0xc76c51a30654be30 +.quad 0xd192e819d6ef5218,0xd69906245565a910 +.quad 0xd192e819d6ef5218,0xd69906245565a910 +.quad 0xf40e35855771202a,0x106aa07032bbd1b8 +.quad 0xf40e35855771202a,0x106aa07032bbd1b8 +.quad 0x19a4c116b8d2d0c8,0x1e376c085141ab53 +.quad 0x19a4c116b8d2d0c8,0x1e376c085141ab53 +.quad 0x2748774cdf8eeb99,0x34b0bcb5e19b48a8 +.quad 0x2748774cdf8eeb99,0x34b0bcb5e19b48a8 +.quad 0x391c0cb3c5c95a63,0x4ed8aa4ae3418acb +.quad 0x391c0cb3c5c95a63,0x4ed8aa4ae3418acb +.quad 0x5b9cca4f7763e373,0x682e6ff3d6b2b8a3 +.quad 0x5b9cca4f7763e373,0x682e6ff3d6b2b8a3 +.quad 0x748f82ee5defb2fc,0x78a5636f43172f60 +.quad 0x748f82ee5defb2fc,0x78a5636f43172f60 +.quad 0x84c87814a1f0ab72,0x8cc702081a6439ec +.quad 0x84c87814a1f0ab72,0x8cc702081a6439ec +.quad 0x90befffa23631e28,0xa4506cebde82bde9 +.quad 0x90befffa23631e28,0xa4506cebde82bde9 +.quad 0xbef9a3f7b2c67915,0xc67178f2e372532b +.quad 0xbef9a3f7b2c67915,0xc67178f2e372532b +.quad 0xca273eceea26619c,0xd186b8c721c0c207 +.quad 0xca273eceea26619c,0xd186b8c721c0c207 +.quad 0xeada7dd6cde0eb1e,0xf57d4f7fee6ed178 +.quad 0xeada7dd6cde0eb1e,0xf57d4f7fee6ed178 +.quad 0x06f067aa72176fba,0x0a637dc5a2c898a6 +.quad 0x06f067aa72176fba,0x0a637dc5a2c898a6 +.quad 0x113f9804bef90dae,0x1b710b35131c471b +.quad 0x113f9804bef90dae,0x1b710b35131c471b +.quad 0x28db77f523047d84,0x32caab7b40c72493 +.quad 0x28db77f523047d84,0x32caab7b40c72493 +.quad 0x3c9ebe0a15c9bebc,0x431d67c49c100d4c +.quad 0x3c9ebe0a15c9bebc,0x431d67c49c100d4c +.quad 0x4cc5d4becb3e42b6,0x597f299cfc657e2a +.quad 0x4cc5d4becb3e42b6,0x597f299cfc657e2a +.quad 0x5fcb6fab3ad6faec,0x6c44198c4a475817 +.quad 0x5fcb6fab3ad6faec,0x6c44198c4a475817 + +.quad 0x0001020304050607,0x08090a0b0c0d0e0f +.quad 0x0001020304050607,0x08090a0b0c0d0e0f + +K512_nodup: +.quad 0x428a2f98d728ae22,0x7137449123ef65cd +.quad 0xb5c0fbcfec4d3b2f,0xe9b5dba58189dbbc +.quad 0x3956c25bf348b538,0x59f111f1b605d019 +.quad 0x923f82a4af194f9b,0xab1c5ed5da6d8118 +.quad 0xd807aa98a3030242,0x12835b0145706fbe +.quad 0x243185be4ee4b28c,0x550c7dc3d5ffb4e2 +.quad 0x72be5d74f27b896f,0x80deb1fe3b1696b1 +.quad 0x9bdc06a725c71235,0xc19bf174cf692694 +.quad 0xe49b69c19ef14ad2,0xefbe4786384f25e3 +.quad 0x0fc19dc68b8cd5b5,0x240ca1cc77ac9c65 +.quad 0x2de92c6f592b0275,0x4a7484aa6ea6e483 +.quad 0x5cb0a9dcbd41fbd4,0x76f988da831153b5 +.quad 0x983e5152ee66dfab,0xa831c66d2db43210 +.quad 0xb00327c898fb213f,0xbf597fc7beef0ee4 +.quad 0xc6e00bf33da88fc2,0xd5a79147930aa725 +.quad 0x06ca6351e003826f,0x142929670a0e6e70 +.quad 0x27b70a8546d22ffc,0x2e1b21385c26c926 +.quad 0x4d2c6dfc5ac42aed,0x53380d139d95b3df +.quad 0x650a73548baf63de,0x766a0abb3c77b2a8 +.quad 0x81c2c92e47edaee6,0x92722c851482353b +.quad 0xa2bfe8a14cf10364,0xa81a664bbc423001 +.quad 0xc24b8b70d0f89791,0xc76c51a30654be30 +.quad 0xd192e819d6ef5218,0xd69906245565a910 +.quad 0xf40e35855771202a,0x106aa07032bbd1b8 +.quad 0x19a4c116b8d2d0c8,0x1e376c085141ab53 +.quad 0x2748774cdf8eeb99,0x34b0bcb5e19b48a8 +.quad 0x391c0cb3c5c95a63,0x4ed8aa4ae3418acb +.quad 0x5b9cca4f7763e373,0x682e6ff3d6b2b8a3 +.quad 0x748f82ee5defb2fc,0x78a5636f43172f60 +.quad 0x84c87814a1f0ab72,0x8cc702081a6439ec +.quad 0x90befffa23631e28,0xa4506cebde82bde9 +.quad 0xbef9a3f7b2c67915,0xc67178f2e372532b +.quad 0xca273eceea26619c,0xd186b8c721c0c207 +.quad 0xeada7dd6cde0eb1e,0xf57d4f7fee6ed178 +.quad 0x06f067aa72176fba,0x0a637dc5a2c898a6 +.quad 0x113f9804bef90dae,0x1b710b35131c471b +.quad 0x28db77f523047d84,0x32caab7b40c72493 +.quad 0x3c9ebe0a15c9bebc,0x431d67c49c100d4c +.quad 0x4cc5d4becb3e42b6,0x597f299cfc657e2a +.quad 0x5fcb6fab3ad6faec,0x6c44198c4a475817 + +.byte 83,72,65,53,49,50,32,98,108,111,99,107,32,116,114,97,110,115,102,111,114,109,32,102,111,114,32,120,56,54,95,54,52,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.globl crypton_sha512_asm_block_data_order_shaext +.type crypton_sha512_asm_block_data_order_shaext,@function +.align 64 +crypton_sha512_asm_block_data_order_shaext: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp +.Lshaext_shortcut: + + leaq K512_nodup+128(%rip),%rcx + vmovdqu (%rdi),%ymm0 + vmovdqu 32(%rdi),%ymm1 + vmovdqa -160(%rcx),%ymm8 + + vpermq $27,%ymm0,%ymm0 + vpblendd $15,%ymm1,%ymm0,%ymm5 + vpblendd $15,%ymm0,%ymm1,%ymm6 + vpermq $225,%ymm5,%ymm5 + vpermq $75,%ymm6,%ymm6 + jmp .Loop_shaext + +.align 16 +.Loop_shaext: + vmovdqu (%rsi),%ymm0 + vmovdqu 32(%rsi),%ymm1 + vmovdqu 64(%rsi),%ymm2 + vpshufb %ymm8,%ymm0,%ymm0 + vmovdqu 96(%rsi),%ymm3 + + vpaddq 0-128(%rcx),%ymm0,%ymm4 + vpshufb %ymm8,%ymm1,%ymm1 + vmovdqa %ymm6,%ymm10 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vmovdqa %ymm5,%ymm9 +.byte 196,226,79,203,236 + + vpaddq 32-128(%rcx),%ymm1,%ymm4 + vpshufb %ymm8,%ymm2,%ymm2 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + leaq 128(%rsi),%rsi +.byte 196,226,127,204,193 +.byte 196,226,79,203,236 + + vpaddq 64-128(%rcx),%ymm2,%ymm4 + vpshufb %ymm8,%ymm3,%ymm3 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm3,%ymm2,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm0,%ymm0 +.byte 196,226,127,204,202 +.byte 196,226,79,203,236 + + vpaddq 96-128(%rcx),%ymm3,%ymm4 +.byte 196,226,127,205,195 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm0,%ymm3,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm1,%ymm1 +.byte 196,226,127,204,211 +.byte 196,226,79,203,236 + vpaddq 128-128(%rcx),%ymm0,%ymm4 +.byte 196,226,127,205,200 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm1,%ymm0,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm2,%ymm2 +.byte 196,226,127,204,216 +.byte 196,226,79,203,236 + vpaddq 160-128(%rcx),%ymm1,%ymm4 +.byte 196,226,127,205,209 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm2,%ymm1,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm3,%ymm3 +.byte 196,226,127,204,193 +.byte 196,226,79,203,236 + vpaddq 192-128(%rcx),%ymm2,%ymm4 +.byte 196,226,127,205,218 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm3,%ymm2,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm0,%ymm0 +.byte 196,226,127,204,202 +.byte 196,226,79,203,236 + vpaddq 224-128(%rcx),%ymm3,%ymm4 +.byte 196,226,127,205,195 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm0,%ymm3,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm1,%ymm1 +.byte 196,226,127,204,211 +.byte 196,226,79,203,236 + vpaddq 256-128(%rcx),%ymm0,%ymm4 +.byte 196,226,127,205,200 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm1,%ymm0,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm2,%ymm2 +.byte 196,226,127,204,216 +.byte 196,226,79,203,236 + vpaddq 288-128(%rcx),%ymm1,%ymm4 +.byte 196,226,127,205,209 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm2,%ymm1,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm3,%ymm3 +.byte 196,226,127,204,193 +.byte 196,226,79,203,236 + vpaddq 320-128(%rcx),%ymm2,%ymm4 +.byte 196,226,127,205,218 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm3,%ymm2,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm0,%ymm0 +.byte 196,226,127,204,202 +.byte 196,226,79,203,236 + vpaddq 352-128(%rcx),%ymm3,%ymm4 +.byte 196,226,127,205,195 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm0,%ymm3,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm1,%ymm1 +.byte 196,226,127,204,211 +.byte 196,226,79,203,236 + vpaddq 384-128(%rcx),%ymm0,%ymm4 +.byte 196,226,127,205,200 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm1,%ymm0,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm2,%ymm2 +.byte 196,226,127,204,216 +.byte 196,226,79,203,236 + vpaddq 416-128(%rcx),%ymm1,%ymm4 +.byte 196,226,127,205,209 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm2,%ymm1,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm3,%ymm3 +.byte 196,226,127,204,193 +.byte 196,226,79,203,236 + vpaddq 448-128(%rcx),%ymm2,%ymm4 +.byte 196,226,127,205,218 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm3,%ymm2,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm0,%ymm0 +.byte 196,226,127,204,202 +.byte 196,226,79,203,236 + vpaddq 480-128(%rcx),%ymm3,%ymm4 +.byte 196,226,127,205,195 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm0,%ymm3,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm1,%ymm1 +.byte 196,226,127,204,211 +.byte 196,226,79,203,236 + vpaddq 512-128(%rcx),%ymm0,%ymm4 +.byte 196,226,127,205,200 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm1,%ymm0,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm2,%ymm2 +.byte 196,226,127,204,216 +.byte 196,226,79,203,236 + vpaddq 544-128(%rcx),%ymm1,%ymm4 +.byte 196,226,127,205,209 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm2,%ymm1,%ymm7 + vpermq $0x39,%ymm7,%ymm7 +.byte 196,226,79,203,236 + vpaddq %ymm7,%ymm3,%ymm3 + + vpaddq 576-128(%rcx),%ymm2,%ymm4 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 +.byte 196,226,127,205,218 +.byte 196,226,79,203,236 + + vpaddq 608-128(%rcx),%ymm3,%ymm4 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + decq %rdx +.byte 196,226,79,203,236 + + vpaddq %ymm10,%ymm6,%ymm6 + vpaddq %ymm9,%ymm5,%ymm5 + jnz .Loop_shaext + + vpermq $75,%ymm5,%ymm5 + vpblendd $240,%ymm6,%ymm5,%ymm1 + vpblendd $240,%ymm5,%ymm6,%ymm2 + vpermq $180,%ymm1,%ymm1 + vpermq $27,%ymm2,%ymm2 + + vmovdqu %ymm1,(%rdi) + vmovdqu %ymm2,32(%rdi) + + vzeroupper +.cfi_def_cfa_register %rsp + popq %rbp +.cfi_adjust_cfa_offset -8 +.cfi_restore %rbp + + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_sha512_asm_block_data_order_shaext,.-crypton_sha512_asm_block_data_order_shaext +.type crypton_sha512_asm_block_data_order_xop,@function +.align 64 +crypton_sha512_asm_block_data_order_xop: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp +.Lxop_shortcut: + pushq %rbx +.cfi_offset %rbx,-24 + pushq %r12 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_offset %r15,-56 + shlq $4,%rdx + subq $24,%rsp + + leaq (%rsi,%rdx,8),%rdx + movq %rdi,-64(%rbp) + + movq %rdx,-48(%rbp) + + + leaq -128(%rsp),%rsp + vzeroupper + andq $-64,%rsp + movq 0(%rdi),%rax + movq 8(%rdi),%rbx + movq 16(%rdi),%rcx + movq 24(%rdi),%rdx + movq 32(%rdi),%r8 + movq 40(%rdi),%r9 + movq 48(%rdi),%r10 + movq 56(%rdi),%r11 + jmp .Lloop_xop +.align 16 +.Lloop_xop: + vmovdqa K512+1280(%rip),%xmm11 + movq %rsi,-56(%rbp) + vmovdqu 0(%rsi),%xmm0 + vmovdqu 16(%rsi),%xmm1 + vmovdqu 32(%rsi),%xmm2 + vpshufb %xmm11,%xmm0,%xmm0 + vmovdqu 48(%rsi),%xmm3 + vpshufb %xmm11,%xmm1,%xmm1 + vmovdqu 64(%rsi),%xmm4 + vpshufb %xmm11,%xmm2,%xmm2 + vmovdqu 80(%rsi),%xmm5 + vpshufb %xmm11,%xmm3,%xmm3 + vmovdqu 96(%rsi),%xmm6 + vpshufb %xmm11,%xmm4,%xmm4 + vmovdqu 112(%rsi),%xmm7 + leaq K512+128(%rip),%rsi + vpshufb %xmm11,%xmm5,%xmm5 + vpaddq -128(%rsi),%xmm0,%xmm8 + vpshufb %xmm11,%xmm6,%xmm6 + vpaddq -96(%rsi),%xmm1,%xmm9 + vpshufb %xmm11,%xmm7,%xmm7 + vpaddq -64(%rsi),%xmm2,%xmm10 + vpaddq -32(%rsi),%xmm3,%xmm11 + vmovdqa %xmm8,0(%rsp) + vpaddq 0(%rsi),%xmm4,%xmm8 + vmovdqa %xmm9,16(%rsp) + vpaddq 32(%rsi),%xmm5,%xmm9 + vmovdqa %xmm10,32(%rsp) + vpaddq 64(%rsi),%xmm6,%xmm10 + vmovdqa %xmm11,48(%rsp) + vpaddq 96(%rsi),%xmm7,%xmm11 + vmovdqa %xmm8,64(%rsp) + movq %rax,%r14 + vmovdqa %xmm9,80(%rsp) + movq %rbx,%rdi + vmovdqa %xmm10,96(%rsp) + xorq %rcx,%rdi + vmovdqa %xmm11,112(%rsp) + movq %r8,%r13 + jmp .Lxop_00_47 + +.align 16 +.Lxop_00_47: + addq $256,%rsi + vpalignr $8,%xmm0,%xmm1,%xmm8 + rorq $23,%r13 + movq %r14,%rax + vpalignr $8,%xmm4,%xmm5,%xmm11 + movq %r9,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %r8,%r13 + xorq %r10,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %rax,%r14 + vpaddq %xmm11,%xmm0,%xmm0 + andq %r8,%r12 + xorq %r8,%r13 + addq 0(%rsp),%r11 + movq %rax,%r15 +.byte 143,72,120,195,209,7 + xorq %r10,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %rbx,%r15 + addq %r12,%r11 + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,223,3 + xorq %rax,%r14 + addq %r13,%r11 + vpxor %xmm10,%xmm8,%xmm8 + xorq %rbx,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm7,%xmm10 + addq %r11,%rdx + addq %rdi,%r11 + vpaddq %xmm8,%xmm0,%xmm0 + movq %rdx,%r13 + addq %r11,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%r11 + vpxor %xmm10,%xmm11,%xmm11 + movq %r8,%r12 + rorq $5,%r14 + xorq %rdx,%r13 + xorq %r9,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %r11,%r14 + andq %rdx,%r12 + xorq %rdx,%r13 + vpaddq %xmm11,%xmm0,%xmm0 + addq 8(%rsp),%r10 + movq %r11,%rdi + xorq %r9,%r12 + rorq $6,%r14 + vpaddq -128(%rsi),%xmm0,%xmm10 + xorq %rax,%rdi + addq %r12,%r10 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r11,%r14 + addq %r13,%r10 + xorq %rax,%r15 + rorq $28,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + vmovdqa %xmm10,0(%rsp) + vpalignr $8,%xmm1,%xmm2,%xmm8 + rorq $23,%r13 + movq %r14,%r10 + vpalignr $8,%xmm5,%xmm6,%xmm11 + movq %rdx,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %rcx,%r13 + xorq %r8,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %r10,%r14 + vpaddq %xmm11,%xmm1,%xmm1 + andq %rcx,%r12 + xorq %rcx,%r13 + addq 16(%rsp),%r9 + movq %r10,%r15 +.byte 143,72,120,195,209,7 + xorq %r8,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %r11,%r15 + addq %r12,%r9 + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,216,3 + xorq %r10,%r14 + addq %r13,%r9 + vpxor %xmm10,%xmm8,%xmm8 + xorq %r11,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm0,%xmm10 + addq %r9,%rbx + addq %rdi,%r9 + vpaddq %xmm8,%xmm1,%xmm1 + movq %rbx,%r13 + addq %r9,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%r9 + vpxor %xmm10,%xmm11,%xmm11 + movq %rcx,%r12 + rorq $5,%r14 + xorq %rbx,%r13 + xorq %rdx,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %r9,%r14 + andq %rbx,%r12 + xorq %rbx,%r13 + vpaddq %xmm11,%xmm1,%xmm1 + addq 24(%rsp),%r8 + movq %r9,%rdi + xorq %rdx,%r12 + rorq $6,%r14 + vpaddq -96(%rsi),%xmm1,%xmm10 + xorq %r10,%rdi + addq %r12,%r8 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r9,%r14 + addq %r13,%r8 + xorq %r10,%r15 + rorq $28,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + vmovdqa %xmm10,16(%rsp) + vpalignr $8,%xmm2,%xmm3,%xmm8 + rorq $23,%r13 + movq %r14,%r8 + vpalignr $8,%xmm6,%xmm7,%xmm11 + movq %rbx,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %rax,%r13 + xorq %rcx,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %r8,%r14 + vpaddq %xmm11,%xmm2,%xmm2 + andq %rax,%r12 + xorq %rax,%r13 + addq 32(%rsp),%rdx + movq %r8,%r15 +.byte 143,72,120,195,209,7 + xorq %rcx,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %r9,%r15 + addq %r12,%rdx + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,217,3 + xorq %r8,%r14 + addq %r13,%rdx + vpxor %xmm10,%xmm8,%xmm8 + xorq %r9,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm1,%xmm10 + addq %rdx,%r11 + addq %rdi,%rdx + vpaddq %xmm8,%xmm2,%xmm2 + movq %r11,%r13 + addq %rdx,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%rdx + vpxor %xmm10,%xmm11,%xmm11 + movq %rax,%r12 + rorq $5,%r14 + xorq %r11,%r13 + xorq %rbx,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %rdx,%r14 + andq %r11,%r12 + xorq %r11,%r13 + vpaddq %xmm11,%xmm2,%xmm2 + addq 40(%rsp),%rcx + movq %rdx,%rdi + xorq %rbx,%r12 + rorq $6,%r14 + vpaddq -64(%rsi),%xmm2,%xmm10 + xorq %r8,%rdi + addq %r12,%rcx + rorq $14,%r13 + andq %rdi,%r15 + xorq %rdx,%r14 + addq %r13,%rcx + xorq %r8,%r15 + rorq $28,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + vmovdqa %xmm10,32(%rsp) + vpalignr $8,%xmm3,%xmm4,%xmm8 + rorq $23,%r13 + movq %r14,%rcx + vpalignr $8,%xmm7,%xmm0,%xmm11 + movq %r11,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %r10,%r13 + xorq %rax,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %rcx,%r14 + vpaddq %xmm11,%xmm3,%xmm3 + andq %r10,%r12 + xorq %r10,%r13 + addq 48(%rsp),%rbx + movq %rcx,%r15 +.byte 143,72,120,195,209,7 + xorq %rax,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %rdx,%r15 + addq %r12,%rbx + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,218,3 + xorq %rcx,%r14 + addq %r13,%rbx + vpxor %xmm10,%xmm8,%xmm8 + xorq %rdx,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm2,%xmm10 + addq %rbx,%r9 + addq %rdi,%rbx + vpaddq %xmm8,%xmm3,%xmm3 + movq %r9,%r13 + addq %rbx,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%rbx + vpxor %xmm10,%xmm11,%xmm11 + movq %r10,%r12 + rorq $5,%r14 + xorq %r9,%r13 + xorq %r11,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %rbx,%r14 + andq %r9,%r12 + xorq %r9,%r13 + vpaddq %xmm11,%xmm3,%xmm3 + addq 56(%rsp),%rax + movq %rbx,%rdi + xorq %r11,%r12 + rorq $6,%r14 + vpaddq -32(%rsi),%xmm3,%xmm10 + xorq %rcx,%rdi + addq %r12,%rax + rorq $14,%r13 + andq %rdi,%r15 + xorq %rbx,%r14 + addq %r13,%rax + xorq %rcx,%r15 + rorq $28,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + vmovdqa %xmm10,48(%rsp) + vpalignr $8,%xmm4,%xmm5,%xmm8 + rorq $23,%r13 + movq %r14,%rax + vpalignr $8,%xmm0,%xmm1,%xmm11 + movq %r9,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %r8,%r13 + xorq %r10,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %rax,%r14 + vpaddq %xmm11,%xmm4,%xmm4 + andq %r8,%r12 + xorq %r8,%r13 + addq 64(%rsp),%r11 + movq %rax,%r15 +.byte 143,72,120,195,209,7 + xorq %r10,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %rbx,%r15 + addq %r12,%r11 + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,219,3 + xorq %rax,%r14 + addq %r13,%r11 + vpxor %xmm10,%xmm8,%xmm8 + xorq %rbx,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm3,%xmm10 + addq %r11,%rdx + addq %rdi,%r11 + vpaddq %xmm8,%xmm4,%xmm4 + movq %rdx,%r13 + addq %r11,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%r11 + vpxor %xmm10,%xmm11,%xmm11 + movq %r8,%r12 + rorq $5,%r14 + xorq %rdx,%r13 + xorq %r9,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %r11,%r14 + andq %rdx,%r12 + xorq %rdx,%r13 + vpaddq %xmm11,%xmm4,%xmm4 + addq 72(%rsp),%r10 + movq %r11,%rdi + xorq %r9,%r12 + rorq $6,%r14 + vpaddq 0(%rsi),%xmm4,%xmm10 + xorq %rax,%rdi + addq %r12,%r10 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r11,%r14 + addq %r13,%r10 + xorq %rax,%r15 + rorq $28,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + vmovdqa %xmm10,64(%rsp) + vpalignr $8,%xmm5,%xmm6,%xmm8 + rorq $23,%r13 + movq %r14,%r10 + vpalignr $8,%xmm1,%xmm2,%xmm11 + movq %rdx,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %rcx,%r13 + xorq %r8,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %r10,%r14 + vpaddq %xmm11,%xmm5,%xmm5 + andq %rcx,%r12 + xorq %rcx,%r13 + addq 80(%rsp),%r9 + movq %r10,%r15 +.byte 143,72,120,195,209,7 + xorq %r8,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %r11,%r15 + addq %r12,%r9 + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,220,3 + xorq %r10,%r14 + addq %r13,%r9 + vpxor %xmm10,%xmm8,%xmm8 + xorq %r11,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm4,%xmm10 + addq %r9,%rbx + addq %rdi,%r9 + vpaddq %xmm8,%xmm5,%xmm5 + movq %rbx,%r13 + addq %r9,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%r9 + vpxor %xmm10,%xmm11,%xmm11 + movq %rcx,%r12 + rorq $5,%r14 + xorq %rbx,%r13 + xorq %rdx,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %r9,%r14 + andq %rbx,%r12 + xorq %rbx,%r13 + vpaddq %xmm11,%xmm5,%xmm5 + addq 88(%rsp),%r8 + movq %r9,%rdi + xorq %rdx,%r12 + rorq $6,%r14 + vpaddq 32(%rsi),%xmm5,%xmm10 + xorq %r10,%rdi + addq %r12,%r8 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r9,%r14 + addq %r13,%r8 + xorq %r10,%r15 + rorq $28,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + vmovdqa %xmm10,80(%rsp) + vpalignr $8,%xmm6,%xmm7,%xmm8 + rorq $23,%r13 + movq %r14,%r8 + vpalignr $8,%xmm2,%xmm3,%xmm11 + movq %rbx,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %rax,%r13 + xorq %rcx,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %r8,%r14 + vpaddq %xmm11,%xmm6,%xmm6 + andq %rax,%r12 + xorq %rax,%r13 + addq 96(%rsp),%rdx + movq %r8,%r15 +.byte 143,72,120,195,209,7 + xorq %rcx,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %r9,%r15 + addq %r12,%rdx + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,221,3 + xorq %r8,%r14 + addq %r13,%rdx + vpxor %xmm10,%xmm8,%xmm8 + xorq %r9,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm5,%xmm10 + addq %rdx,%r11 + addq %rdi,%rdx + vpaddq %xmm8,%xmm6,%xmm6 + movq %r11,%r13 + addq %rdx,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%rdx + vpxor %xmm10,%xmm11,%xmm11 + movq %rax,%r12 + rorq $5,%r14 + xorq %r11,%r13 + xorq %rbx,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %rdx,%r14 + andq %r11,%r12 + xorq %r11,%r13 + vpaddq %xmm11,%xmm6,%xmm6 + addq 104(%rsp),%rcx + movq %rdx,%rdi + xorq %rbx,%r12 + rorq $6,%r14 + vpaddq 64(%rsi),%xmm6,%xmm10 + xorq %r8,%rdi + addq %r12,%rcx + rorq $14,%r13 + andq %rdi,%r15 + xorq %rdx,%r14 + addq %r13,%rcx + xorq %r8,%r15 + rorq $28,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + vmovdqa %xmm10,96(%rsp) + vpalignr $8,%xmm7,%xmm0,%xmm8 + rorq $23,%r13 + movq %r14,%rcx + vpalignr $8,%xmm3,%xmm4,%xmm11 + movq %r11,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %r10,%r13 + xorq %rax,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %rcx,%r14 + vpaddq %xmm11,%xmm7,%xmm7 + andq %r10,%r12 + xorq %r10,%r13 + addq 112(%rsp),%rbx + movq %rcx,%r15 +.byte 143,72,120,195,209,7 + xorq %rax,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %rdx,%r15 + addq %r12,%rbx + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,222,3 + xorq %rcx,%r14 + addq %r13,%rbx + vpxor %xmm10,%xmm8,%xmm8 + xorq %rdx,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm6,%xmm10 + addq %rbx,%r9 + addq %rdi,%rbx + vpaddq %xmm8,%xmm7,%xmm7 + movq %r9,%r13 + addq %rbx,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%rbx + vpxor %xmm10,%xmm11,%xmm11 + movq %r10,%r12 + rorq $5,%r14 + xorq %r9,%r13 + xorq %r11,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %rbx,%r14 + andq %r9,%r12 + xorq %r9,%r13 + vpaddq %xmm11,%xmm7,%xmm7 + addq 120(%rsp),%rax + movq %rbx,%rdi + xorq %r11,%r12 + rorq $6,%r14 + vpaddq 96(%rsi),%xmm7,%xmm10 + xorq %rcx,%rdi + addq %r12,%rax + rorq $14,%r13 + andq %rdi,%r15 + xorq %rbx,%r14 + addq %r13,%rax + xorq %rcx,%r15 + rorq $28,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + vmovdqa %xmm10,112(%rsp) + cmpb $0,135(%rsi) + jne .Lxop_00_47 + rorq $23,%r13 + movq %r14,%rax + movq %r9,%r12 + rorq $5,%r14 + xorq %r8,%r13 + xorq %r10,%r12 + rorq $4,%r13 + xorq %rax,%r14 + andq %r8,%r12 + xorq %r8,%r13 + addq 0(%rsp),%r11 + movq %rax,%r15 + xorq %r10,%r12 + rorq $6,%r14 + xorq %rbx,%r15 + addq %r12,%r11 + rorq $14,%r13 + andq %r15,%rdi + xorq %rax,%r14 + addq %r13,%r11 + xorq %rbx,%rdi + rorq $28,%r14 + addq %r11,%rdx + addq %rdi,%r11 + movq %rdx,%r13 + addq %r11,%r14 + rorq $23,%r13 + movq %r14,%r11 + movq %r8,%r12 + rorq $5,%r14 + xorq %rdx,%r13 + xorq %r9,%r12 + rorq $4,%r13 + xorq %r11,%r14 + andq %rdx,%r12 + xorq %rdx,%r13 + addq 8(%rsp),%r10 + movq %r11,%rdi + xorq %r9,%r12 + rorq $6,%r14 + xorq %rax,%rdi + addq %r12,%r10 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r11,%r14 + addq %r13,%r10 + xorq %rax,%r15 + rorq $28,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + rorq $23,%r13 + movq %r14,%r10 + movq %rdx,%r12 + rorq $5,%r14 + xorq %rcx,%r13 + xorq %r8,%r12 + rorq $4,%r13 + xorq %r10,%r14 + andq %rcx,%r12 + xorq %rcx,%r13 + addq 16(%rsp),%r9 + movq %r10,%r15 + xorq %r8,%r12 + rorq $6,%r14 + xorq %r11,%r15 + addq %r12,%r9 + rorq $14,%r13 + andq %r15,%rdi + xorq %r10,%r14 + addq %r13,%r9 + xorq %r11,%rdi + rorq $28,%r14 + addq %r9,%rbx + addq %rdi,%r9 + movq %rbx,%r13 + addq %r9,%r14 + rorq $23,%r13 + movq %r14,%r9 + movq %rcx,%r12 + rorq $5,%r14 + xorq %rbx,%r13 + xorq %rdx,%r12 + rorq $4,%r13 + xorq %r9,%r14 + andq %rbx,%r12 + xorq %rbx,%r13 + addq 24(%rsp),%r8 + movq %r9,%rdi + xorq %rdx,%r12 + rorq $6,%r14 + xorq %r10,%rdi + addq %r12,%r8 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r9,%r14 + addq %r13,%r8 + xorq %r10,%r15 + rorq $28,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + rorq $23,%r13 + movq %r14,%r8 + movq %rbx,%r12 + rorq $5,%r14 + xorq %rax,%r13 + xorq %rcx,%r12 + rorq $4,%r13 + xorq %r8,%r14 + andq %rax,%r12 + xorq %rax,%r13 + addq 32(%rsp),%rdx + movq %r8,%r15 + xorq %rcx,%r12 + rorq $6,%r14 + xorq %r9,%r15 + addq %r12,%rdx + rorq $14,%r13 + andq %r15,%rdi + xorq %r8,%r14 + addq %r13,%rdx + xorq %r9,%rdi + rorq $28,%r14 + addq %rdx,%r11 + addq %rdi,%rdx + movq %r11,%r13 + addq %rdx,%r14 + rorq $23,%r13 + movq %r14,%rdx + movq %rax,%r12 + rorq $5,%r14 + xorq %r11,%r13 + xorq %rbx,%r12 + rorq $4,%r13 + xorq %rdx,%r14 + andq %r11,%r12 + xorq %r11,%r13 + addq 40(%rsp),%rcx + movq %rdx,%rdi + xorq %rbx,%r12 + rorq $6,%r14 + xorq %r8,%rdi + addq %r12,%rcx + rorq $14,%r13 + andq %rdi,%r15 + xorq %rdx,%r14 + addq %r13,%rcx + xorq %r8,%r15 + rorq $28,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + rorq $23,%r13 + movq %r14,%rcx + movq %r11,%r12 + rorq $5,%r14 + xorq %r10,%r13 + xorq %rax,%r12 + rorq $4,%r13 + xorq %rcx,%r14 + andq %r10,%r12 + xorq %r10,%r13 + addq 48(%rsp),%rbx + movq %rcx,%r15 + xorq %rax,%r12 + rorq $6,%r14 + xorq %rdx,%r15 + addq %r12,%rbx + rorq $14,%r13 + andq %r15,%rdi + xorq %rcx,%r14 + addq %r13,%rbx + xorq %rdx,%rdi + rorq $28,%r14 + addq %rbx,%r9 + addq %rdi,%rbx + movq %r9,%r13 + addq %rbx,%r14 + rorq $23,%r13 + movq %r14,%rbx + movq %r10,%r12 + rorq $5,%r14 + xorq %r9,%r13 + xorq %r11,%r12 + rorq $4,%r13 + xorq %rbx,%r14 + andq %r9,%r12 + xorq %r9,%r13 + addq 56(%rsp),%rax + movq %rbx,%rdi + xorq %r11,%r12 + rorq $6,%r14 + xorq %rcx,%rdi + addq %r12,%rax + rorq $14,%r13 + andq %rdi,%r15 + xorq %rbx,%r14 + addq %r13,%rax + xorq %rcx,%r15 + rorq $28,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + rorq $23,%r13 + movq %r14,%rax + movq %r9,%r12 + rorq $5,%r14 + xorq %r8,%r13 + xorq %r10,%r12 + rorq $4,%r13 + xorq %rax,%r14 + andq %r8,%r12 + xorq %r8,%r13 + addq 64(%rsp),%r11 + movq %rax,%r15 + xorq %r10,%r12 + rorq $6,%r14 + xorq %rbx,%r15 + addq %r12,%r11 + rorq $14,%r13 + andq %r15,%rdi + xorq %rax,%r14 + addq %r13,%r11 + xorq %rbx,%rdi + rorq $28,%r14 + addq %r11,%rdx + addq %rdi,%r11 + movq %rdx,%r13 + addq %r11,%r14 + rorq $23,%r13 + movq %r14,%r11 + movq %r8,%r12 + rorq $5,%r14 + xorq %rdx,%r13 + xorq %r9,%r12 + rorq $4,%r13 + xorq %r11,%r14 + andq %rdx,%r12 + xorq %rdx,%r13 + addq 72(%rsp),%r10 + movq %r11,%rdi + xorq %r9,%r12 + rorq $6,%r14 + xorq %rax,%rdi + addq %r12,%r10 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r11,%r14 + addq %r13,%r10 + xorq %rax,%r15 + rorq $28,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + rorq $23,%r13 + movq %r14,%r10 + movq %rdx,%r12 + rorq $5,%r14 + xorq %rcx,%r13 + xorq %r8,%r12 + rorq $4,%r13 + xorq %r10,%r14 + andq %rcx,%r12 + xorq %rcx,%r13 + addq 80(%rsp),%r9 + movq %r10,%r15 + xorq %r8,%r12 + rorq $6,%r14 + xorq %r11,%r15 + addq %r12,%r9 + rorq $14,%r13 + andq %r15,%rdi + xorq %r10,%r14 + addq %r13,%r9 + xorq %r11,%rdi + rorq $28,%r14 + addq %r9,%rbx + addq %rdi,%r9 + movq %rbx,%r13 + addq %r9,%r14 + rorq $23,%r13 + movq %r14,%r9 + movq %rcx,%r12 + rorq $5,%r14 + xorq %rbx,%r13 + xorq %rdx,%r12 + rorq $4,%r13 + xorq %r9,%r14 + andq %rbx,%r12 + xorq %rbx,%r13 + addq 88(%rsp),%r8 + movq %r9,%rdi + xorq %rdx,%r12 + rorq $6,%r14 + xorq %r10,%rdi + addq %r12,%r8 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r9,%r14 + addq %r13,%r8 + xorq %r10,%r15 + rorq $28,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + rorq $23,%r13 + movq %r14,%r8 + movq %rbx,%r12 + rorq $5,%r14 + xorq %rax,%r13 + xorq %rcx,%r12 + rorq $4,%r13 + xorq %r8,%r14 + andq %rax,%r12 + xorq %rax,%r13 + addq 96(%rsp),%rdx + movq %r8,%r15 + xorq %rcx,%r12 + rorq $6,%r14 + xorq %r9,%r15 + addq %r12,%rdx + rorq $14,%r13 + andq %r15,%rdi + xorq %r8,%r14 + addq %r13,%rdx + xorq %r9,%rdi + rorq $28,%r14 + addq %rdx,%r11 + addq %rdi,%rdx + movq %r11,%r13 + addq %rdx,%r14 + rorq $23,%r13 + movq %r14,%rdx + movq %rax,%r12 + rorq $5,%r14 + xorq %r11,%r13 + xorq %rbx,%r12 + rorq $4,%r13 + xorq %rdx,%r14 + andq %r11,%r12 + xorq %r11,%r13 + addq 104(%rsp),%rcx + movq %rdx,%rdi + xorq %rbx,%r12 + rorq $6,%r14 + xorq %r8,%rdi + addq %r12,%rcx + rorq $14,%r13 + andq %rdi,%r15 + xorq %rdx,%r14 + addq %r13,%rcx + xorq %r8,%r15 + rorq $28,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + rorq $23,%r13 + movq %r14,%rcx + movq %r11,%r12 + rorq $5,%r14 + xorq %r10,%r13 + xorq %rax,%r12 + rorq $4,%r13 + xorq %rcx,%r14 + andq %r10,%r12 + xorq %r10,%r13 + addq 112(%rsp),%rbx + movq %rcx,%r15 + xorq %rax,%r12 + rorq $6,%r14 + xorq %rdx,%r15 + addq %r12,%rbx + rorq $14,%r13 + andq %r15,%rdi + xorq %rcx,%r14 + addq %r13,%rbx + xorq %rdx,%rdi + rorq $28,%r14 + addq %rbx,%r9 + addq %rdi,%rbx + movq %r9,%r13 + addq %rbx,%r14 + rorq $23,%r13 + movq %r14,%rbx + movq %r10,%r12 + rorq $5,%r14 + xorq %r9,%r13 + xorq %r11,%r12 + rorq $4,%r13 + xorq %rbx,%r14 + andq %r9,%r12 + xorq %r9,%r13 + addq 120(%rsp),%rax + movq %rbx,%rdi + xorq %r11,%r12 + rorq $6,%r14 + xorq %rcx,%rdi + addq %r12,%rax + rorq $14,%r13 + andq %rdi,%r15 + xorq %rbx,%r14 + addq %r13,%rax + xorq %rcx,%r15 + rorq $28,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + movq -64(%rbp),%rdi + movq %r14,%rax + movq -56(%rbp),%rsi + + addq 0(%rdi),%rax + addq 8(%rdi),%rbx + addq 16(%rdi),%rcx + addq 24(%rdi),%rdx + addq 32(%rdi),%r8 + addq 40(%rdi),%r9 + addq 48(%rdi),%r10 + addq 56(%rdi),%r11 + + leaq 128(%rsi),%rsi + cmpq -48(%rbp),%rsi + + movq %rax,0(%rdi) + movq %rbx,8(%rdi) + movq %rcx,16(%rdi) + movq %rdx,24(%rdi) + movq %r8,32(%rdi) + movq %r9,40(%rdi) + movq %r10,48(%rdi) + movq %r11,56(%rdi) + jb .Lloop_xop + + vzeroupper + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp +.cfi_def_cfa_register %rsp + popq %rbp +.cfi_adjust_cfa_offset -8 +.cfi_restore %rbp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbx + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_sha512_asm_block_data_order_xop,.-crypton_sha512_asm_block_data_order_xop +.type crypton_sha512_asm_block_data_order_avx,@function +.align 64 +crypton_sha512_asm_block_data_order_avx: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp +.Lavx_shortcut: + pushq %rbx +.cfi_offset %rbx,-24 + pushq %r12 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_offset %r15,-56 + shlq $4,%rdx + subq $24,%rsp + + leaq (%rsi,%rdx,8),%rdx + movq %rdi,-64(%rbp) + + movq %rdx,-48(%rbp) + + + leaq -128(%rsp),%rsp + vzeroupper + andq $-64,%rsp + movq 0(%rdi),%rax + movq 8(%rdi),%rbx + movq 16(%rdi),%rcx + movq 24(%rdi),%rdx + movq 32(%rdi),%r8 + movq 40(%rdi),%r9 + movq 48(%rdi),%r10 + movq 56(%rdi),%r11 + jmp .Lloop_avx +.align 16 +.Lloop_avx: + vmovdqa K512+1280(%rip),%xmm11 + movq %rsi,-56(%rbp) + vmovdqu 0(%rsi),%xmm0 + vmovdqu 16(%rsi),%xmm1 + vmovdqu 32(%rsi),%xmm2 + vpshufb %xmm11,%xmm0,%xmm0 + vmovdqu 48(%rsi),%xmm3 + vpshufb %xmm11,%xmm1,%xmm1 + vmovdqu 64(%rsi),%xmm4 + vpshufb %xmm11,%xmm2,%xmm2 + vmovdqu 80(%rsi),%xmm5 + vpshufb %xmm11,%xmm3,%xmm3 + vmovdqu 96(%rsi),%xmm6 + vpshufb %xmm11,%xmm4,%xmm4 + vmovdqu 112(%rsi),%xmm7 + leaq K512+128(%rip),%rsi + vpshufb %xmm11,%xmm5,%xmm5 + vpaddq -128(%rsi),%xmm0,%xmm8 + vpshufb %xmm11,%xmm6,%xmm6 + vpaddq -96(%rsi),%xmm1,%xmm9 + vpshufb %xmm11,%xmm7,%xmm7 + vpaddq -64(%rsi),%xmm2,%xmm10 + vpaddq -32(%rsi),%xmm3,%xmm11 + vmovdqa %xmm8,0(%rsp) + vpaddq 0(%rsi),%xmm4,%xmm8 + vmovdqa %xmm9,16(%rsp) + vpaddq 32(%rsi),%xmm5,%xmm9 + vmovdqa %xmm10,32(%rsp) + vpaddq 64(%rsi),%xmm6,%xmm10 + vmovdqa %xmm11,48(%rsp) + vpaddq 96(%rsi),%xmm7,%xmm11 + vmovdqa %xmm8,64(%rsp) + movq %rax,%r14 + vmovdqa %xmm9,80(%rsp) + movq %rbx,%rdi + vmovdqa %xmm10,96(%rsp) + xorq %rcx,%rdi + vmovdqa %xmm11,112(%rsp) + movq %r8,%r13 + jmp .Lavx_00_47 + +.align 16 +.Lavx_00_47: + addq $256,%rsi + vpalignr $8,%xmm0,%xmm1,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%rax + vpalignr $8,%xmm4,%xmm5,%xmm11 + movq %r9,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %r8,%r13 + xorq %r10,%r12 + vpaddq %xmm11,%xmm0,%xmm0 + shrdq $4,%r13,%r13 + xorq %rax,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %r8,%r12 + xorq %r8,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 0(%rsp),%r11 + movq %rax,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %r10,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %rbx,%r15 + addq %r12,%r11 + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %rax,%r14 + addq %r13,%r11 + vpxor %xmm10,%xmm8,%xmm8 + xorq %rbx,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm7,%xmm11 + addq %r11,%rdx + addq %rdi,%r11 + vpxor %xmm9,%xmm8,%xmm8 + movq %rdx,%r13 + addq %r11,%r14 + vpsllq $3,%xmm7,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%r11 + vpaddq %xmm8,%xmm0,%xmm0 + movq %r8,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm7,%xmm9 + xorq %rdx,%r13 + xorq %r9,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %r11,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %rdx,%r12 + xorq %rdx,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 8(%rsp),%r10 + movq %r11,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %r9,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %rax,%rdi + addq %r12,%r10 + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm0,%xmm0 + xorq %r11,%r14 + addq %r13,%r10 + vpaddq -128(%rsi),%xmm0,%xmm10 + xorq %rax,%r15 + shrdq $28,%r14,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + vmovdqa %xmm10,0(%rsp) + vpalignr $8,%xmm1,%xmm2,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%r10 + vpalignr $8,%xmm5,%xmm6,%xmm11 + movq %rdx,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %rcx,%r13 + xorq %r8,%r12 + vpaddq %xmm11,%xmm1,%xmm1 + shrdq $4,%r13,%r13 + xorq %r10,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %rcx,%r12 + xorq %rcx,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 16(%rsp),%r9 + movq %r10,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %r8,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %r11,%r15 + addq %r12,%r9 + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %r10,%r14 + addq %r13,%r9 + vpxor %xmm10,%xmm8,%xmm8 + xorq %r11,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm0,%xmm11 + addq %r9,%rbx + addq %rdi,%r9 + vpxor %xmm9,%xmm8,%xmm8 + movq %rbx,%r13 + addq %r9,%r14 + vpsllq $3,%xmm0,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%r9 + vpaddq %xmm8,%xmm1,%xmm1 + movq %rcx,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm0,%xmm9 + xorq %rbx,%r13 + xorq %rdx,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %r9,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %rbx,%r12 + xorq %rbx,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 24(%rsp),%r8 + movq %r9,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %rdx,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %r10,%rdi + addq %r12,%r8 + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm1,%xmm1 + xorq %r9,%r14 + addq %r13,%r8 + vpaddq -96(%rsi),%xmm1,%xmm10 + xorq %r10,%r15 + shrdq $28,%r14,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + vmovdqa %xmm10,16(%rsp) + vpalignr $8,%xmm2,%xmm3,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%r8 + vpalignr $8,%xmm6,%xmm7,%xmm11 + movq %rbx,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %rax,%r13 + xorq %rcx,%r12 + vpaddq %xmm11,%xmm2,%xmm2 + shrdq $4,%r13,%r13 + xorq %r8,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %rax,%r12 + xorq %rax,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 32(%rsp),%rdx + movq %r8,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %rcx,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %r9,%r15 + addq %r12,%rdx + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %r8,%r14 + addq %r13,%rdx + vpxor %xmm10,%xmm8,%xmm8 + xorq %r9,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm1,%xmm11 + addq %rdx,%r11 + addq %rdi,%rdx + vpxor %xmm9,%xmm8,%xmm8 + movq %r11,%r13 + addq %rdx,%r14 + vpsllq $3,%xmm1,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%rdx + vpaddq %xmm8,%xmm2,%xmm2 + movq %rax,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm1,%xmm9 + xorq %r11,%r13 + xorq %rbx,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %rdx,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %r11,%r12 + xorq %r11,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 40(%rsp),%rcx + movq %rdx,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %rbx,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %r8,%rdi + addq %r12,%rcx + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm2,%xmm2 + xorq %rdx,%r14 + addq %r13,%rcx + vpaddq -64(%rsi),%xmm2,%xmm10 + xorq %r8,%r15 + shrdq $28,%r14,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + vmovdqa %xmm10,32(%rsp) + vpalignr $8,%xmm3,%xmm4,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%rcx + vpalignr $8,%xmm7,%xmm0,%xmm11 + movq %r11,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %r10,%r13 + xorq %rax,%r12 + vpaddq %xmm11,%xmm3,%xmm3 + shrdq $4,%r13,%r13 + xorq %rcx,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %r10,%r12 + xorq %r10,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 48(%rsp),%rbx + movq %rcx,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %rax,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %rdx,%r15 + addq %r12,%rbx + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %rcx,%r14 + addq %r13,%rbx + vpxor %xmm10,%xmm8,%xmm8 + xorq %rdx,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm2,%xmm11 + addq %rbx,%r9 + addq %rdi,%rbx + vpxor %xmm9,%xmm8,%xmm8 + movq %r9,%r13 + addq %rbx,%r14 + vpsllq $3,%xmm2,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%rbx + vpaddq %xmm8,%xmm3,%xmm3 + movq %r10,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm2,%xmm9 + xorq %r9,%r13 + xorq %r11,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %rbx,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %r9,%r12 + xorq %r9,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 56(%rsp),%rax + movq %rbx,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %r11,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %rcx,%rdi + addq %r12,%rax + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm3,%xmm3 + xorq %rbx,%r14 + addq %r13,%rax + vpaddq -32(%rsi),%xmm3,%xmm10 + xorq %rcx,%r15 + shrdq $28,%r14,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + vmovdqa %xmm10,48(%rsp) + vpalignr $8,%xmm4,%xmm5,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%rax + vpalignr $8,%xmm0,%xmm1,%xmm11 + movq %r9,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %r8,%r13 + xorq %r10,%r12 + vpaddq %xmm11,%xmm4,%xmm4 + shrdq $4,%r13,%r13 + xorq %rax,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %r8,%r12 + xorq %r8,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 64(%rsp),%r11 + movq %rax,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %r10,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %rbx,%r15 + addq %r12,%r11 + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %rax,%r14 + addq %r13,%r11 + vpxor %xmm10,%xmm8,%xmm8 + xorq %rbx,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm3,%xmm11 + addq %r11,%rdx + addq %rdi,%r11 + vpxor %xmm9,%xmm8,%xmm8 + movq %rdx,%r13 + addq %r11,%r14 + vpsllq $3,%xmm3,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%r11 + vpaddq %xmm8,%xmm4,%xmm4 + movq %r8,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm3,%xmm9 + xorq %rdx,%r13 + xorq %r9,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %r11,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %rdx,%r12 + xorq %rdx,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 72(%rsp),%r10 + movq %r11,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %r9,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %rax,%rdi + addq %r12,%r10 + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm4,%xmm4 + xorq %r11,%r14 + addq %r13,%r10 + vpaddq 0(%rsi),%xmm4,%xmm10 + xorq %rax,%r15 + shrdq $28,%r14,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + vmovdqa %xmm10,64(%rsp) + vpalignr $8,%xmm5,%xmm6,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%r10 + vpalignr $8,%xmm1,%xmm2,%xmm11 + movq %rdx,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %rcx,%r13 + xorq %r8,%r12 + vpaddq %xmm11,%xmm5,%xmm5 + shrdq $4,%r13,%r13 + xorq %r10,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %rcx,%r12 + xorq %rcx,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 80(%rsp),%r9 + movq %r10,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %r8,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %r11,%r15 + addq %r12,%r9 + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %r10,%r14 + addq %r13,%r9 + vpxor %xmm10,%xmm8,%xmm8 + xorq %r11,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm4,%xmm11 + addq %r9,%rbx + addq %rdi,%r9 + vpxor %xmm9,%xmm8,%xmm8 + movq %rbx,%r13 + addq %r9,%r14 + vpsllq $3,%xmm4,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%r9 + vpaddq %xmm8,%xmm5,%xmm5 + movq %rcx,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm4,%xmm9 + xorq %rbx,%r13 + xorq %rdx,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %r9,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %rbx,%r12 + xorq %rbx,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 88(%rsp),%r8 + movq %r9,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %rdx,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %r10,%rdi + addq %r12,%r8 + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm5,%xmm5 + xorq %r9,%r14 + addq %r13,%r8 + vpaddq 32(%rsi),%xmm5,%xmm10 + xorq %r10,%r15 + shrdq $28,%r14,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + vmovdqa %xmm10,80(%rsp) + vpalignr $8,%xmm6,%xmm7,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%r8 + vpalignr $8,%xmm2,%xmm3,%xmm11 + movq %rbx,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %rax,%r13 + xorq %rcx,%r12 + vpaddq %xmm11,%xmm6,%xmm6 + shrdq $4,%r13,%r13 + xorq %r8,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %rax,%r12 + xorq %rax,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 96(%rsp),%rdx + movq %r8,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %rcx,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %r9,%r15 + addq %r12,%rdx + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %r8,%r14 + addq %r13,%rdx + vpxor %xmm10,%xmm8,%xmm8 + xorq %r9,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm5,%xmm11 + addq %rdx,%r11 + addq %rdi,%rdx + vpxor %xmm9,%xmm8,%xmm8 + movq %r11,%r13 + addq %rdx,%r14 + vpsllq $3,%xmm5,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%rdx + vpaddq %xmm8,%xmm6,%xmm6 + movq %rax,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm5,%xmm9 + xorq %r11,%r13 + xorq %rbx,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %rdx,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %r11,%r12 + xorq %r11,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 104(%rsp),%rcx + movq %rdx,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %rbx,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %r8,%rdi + addq %r12,%rcx + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm6,%xmm6 + xorq %rdx,%r14 + addq %r13,%rcx + vpaddq 64(%rsi),%xmm6,%xmm10 + xorq %r8,%r15 + shrdq $28,%r14,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + vmovdqa %xmm10,96(%rsp) + vpalignr $8,%xmm7,%xmm0,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%rcx + vpalignr $8,%xmm3,%xmm4,%xmm11 + movq %r11,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %r10,%r13 + xorq %rax,%r12 + vpaddq %xmm11,%xmm7,%xmm7 + shrdq $4,%r13,%r13 + xorq %rcx,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %r10,%r12 + xorq %r10,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 112(%rsp),%rbx + movq %rcx,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %rax,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %rdx,%r15 + addq %r12,%rbx + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %rcx,%r14 + addq %r13,%rbx + vpxor %xmm10,%xmm8,%xmm8 + xorq %rdx,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm6,%xmm11 + addq %rbx,%r9 + addq %rdi,%rbx + vpxor %xmm9,%xmm8,%xmm8 + movq %r9,%r13 + addq %rbx,%r14 + vpsllq $3,%xmm6,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%rbx + vpaddq %xmm8,%xmm7,%xmm7 + movq %r10,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm6,%xmm9 + xorq %r9,%r13 + xorq %r11,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %rbx,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %r9,%r12 + xorq %r9,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 120(%rsp),%rax + movq %rbx,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %r11,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %rcx,%rdi + addq %r12,%rax + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm7,%xmm7 + xorq %rbx,%r14 + addq %r13,%rax + vpaddq 96(%rsi),%xmm7,%xmm10 + xorq %rcx,%r15 + shrdq $28,%r14,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + vmovdqa %xmm10,112(%rsp) + cmpb $0,135(%rsi) + jne .Lavx_00_47 + shrdq $23,%r13,%r13 + movq %r14,%rax + movq %r9,%r12 + shrdq $5,%r14,%r14 + xorq %r8,%r13 + xorq %r10,%r12 + shrdq $4,%r13,%r13 + xorq %rax,%r14 + andq %r8,%r12 + xorq %r8,%r13 + addq 0(%rsp),%r11 + movq %rax,%r15 + xorq %r10,%r12 + shrdq $6,%r14,%r14 + xorq %rbx,%r15 + addq %r12,%r11 + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %rax,%r14 + addq %r13,%r11 + xorq %rbx,%rdi + shrdq $28,%r14,%r14 + addq %r11,%rdx + addq %rdi,%r11 + movq %rdx,%r13 + addq %r11,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r11 + movq %r8,%r12 + shrdq $5,%r14,%r14 + xorq %rdx,%r13 + xorq %r9,%r12 + shrdq $4,%r13,%r13 + xorq %r11,%r14 + andq %rdx,%r12 + xorq %rdx,%r13 + addq 8(%rsp),%r10 + movq %r11,%rdi + xorq %r9,%r12 + shrdq $6,%r14,%r14 + xorq %rax,%rdi + addq %r12,%r10 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %r11,%r14 + addq %r13,%r10 + xorq %rax,%r15 + shrdq $28,%r14,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r10 + movq %rdx,%r12 + shrdq $5,%r14,%r14 + xorq %rcx,%r13 + xorq %r8,%r12 + shrdq $4,%r13,%r13 + xorq %r10,%r14 + andq %rcx,%r12 + xorq %rcx,%r13 + addq 16(%rsp),%r9 + movq %r10,%r15 + xorq %r8,%r12 + shrdq $6,%r14,%r14 + xorq %r11,%r15 + addq %r12,%r9 + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %r10,%r14 + addq %r13,%r9 + xorq %r11,%rdi + shrdq $28,%r14,%r14 + addq %r9,%rbx + addq %rdi,%r9 + movq %rbx,%r13 + addq %r9,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r9 + movq %rcx,%r12 + shrdq $5,%r14,%r14 + xorq %rbx,%r13 + xorq %rdx,%r12 + shrdq $4,%r13,%r13 + xorq %r9,%r14 + andq %rbx,%r12 + xorq %rbx,%r13 + addq 24(%rsp),%r8 + movq %r9,%rdi + xorq %rdx,%r12 + shrdq $6,%r14,%r14 + xorq %r10,%rdi + addq %r12,%r8 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %r9,%r14 + addq %r13,%r8 + xorq %r10,%r15 + shrdq $28,%r14,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r8 + movq %rbx,%r12 + shrdq $5,%r14,%r14 + xorq %rax,%r13 + xorq %rcx,%r12 + shrdq $4,%r13,%r13 + xorq %r8,%r14 + andq %rax,%r12 + xorq %rax,%r13 + addq 32(%rsp),%rdx + movq %r8,%r15 + xorq %rcx,%r12 + shrdq $6,%r14,%r14 + xorq %r9,%r15 + addq %r12,%rdx + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %r8,%r14 + addq %r13,%rdx + xorq %r9,%rdi + shrdq $28,%r14,%r14 + addq %rdx,%r11 + addq %rdi,%rdx + movq %r11,%r13 + addq %rdx,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rdx + movq %rax,%r12 + shrdq $5,%r14,%r14 + xorq %r11,%r13 + xorq %rbx,%r12 + shrdq $4,%r13,%r13 + xorq %rdx,%r14 + andq %r11,%r12 + xorq %r11,%r13 + addq 40(%rsp),%rcx + movq %rdx,%rdi + xorq %rbx,%r12 + shrdq $6,%r14,%r14 + xorq %r8,%rdi + addq %r12,%rcx + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %rdx,%r14 + addq %r13,%rcx + xorq %r8,%r15 + shrdq $28,%r14,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rcx + movq %r11,%r12 + shrdq $5,%r14,%r14 + xorq %r10,%r13 + xorq %rax,%r12 + shrdq $4,%r13,%r13 + xorq %rcx,%r14 + andq %r10,%r12 + xorq %r10,%r13 + addq 48(%rsp),%rbx + movq %rcx,%r15 + xorq %rax,%r12 + shrdq $6,%r14,%r14 + xorq %rdx,%r15 + addq %r12,%rbx + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %rcx,%r14 + addq %r13,%rbx + xorq %rdx,%rdi + shrdq $28,%r14,%r14 + addq %rbx,%r9 + addq %rdi,%rbx + movq %r9,%r13 + addq %rbx,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rbx + movq %r10,%r12 + shrdq $5,%r14,%r14 + xorq %r9,%r13 + xorq %r11,%r12 + shrdq $4,%r13,%r13 + xorq %rbx,%r14 + andq %r9,%r12 + xorq %r9,%r13 + addq 56(%rsp),%rax + movq %rbx,%rdi + xorq %r11,%r12 + shrdq $6,%r14,%r14 + xorq %rcx,%rdi + addq %r12,%rax + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %rbx,%r14 + addq %r13,%rax + xorq %rcx,%r15 + shrdq $28,%r14,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rax + movq %r9,%r12 + shrdq $5,%r14,%r14 + xorq %r8,%r13 + xorq %r10,%r12 + shrdq $4,%r13,%r13 + xorq %rax,%r14 + andq %r8,%r12 + xorq %r8,%r13 + addq 64(%rsp),%r11 + movq %rax,%r15 + xorq %r10,%r12 + shrdq $6,%r14,%r14 + xorq %rbx,%r15 + addq %r12,%r11 + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %rax,%r14 + addq %r13,%r11 + xorq %rbx,%rdi + shrdq $28,%r14,%r14 + addq %r11,%rdx + addq %rdi,%r11 + movq %rdx,%r13 + addq %r11,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r11 + movq %r8,%r12 + shrdq $5,%r14,%r14 + xorq %rdx,%r13 + xorq %r9,%r12 + shrdq $4,%r13,%r13 + xorq %r11,%r14 + andq %rdx,%r12 + xorq %rdx,%r13 + addq 72(%rsp),%r10 + movq %r11,%rdi + xorq %r9,%r12 + shrdq $6,%r14,%r14 + xorq %rax,%rdi + addq %r12,%r10 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %r11,%r14 + addq %r13,%r10 + xorq %rax,%r15 + shrdq $28,%r14,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r10 + movq %rdx,%r12 + shrdq $5,%r14,%r14 + xorq %rcx,%r13 + xorq %r8,%r12 + shrdq $4,%r13,%r13 + xorq %r10,%r14 + andq %rcx,%r12 + xorq %rcx,%r13 + addq 80(%rsp),%r9 + movq %r10,%r15 + xorq %r8,%r12 + shrdq $6,%r14,%r14 + xorq %r11,%r15 + addq %r12,%r9 + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %r10,%r14 + addq %r13,%r9 + xorq %r11,%rdi + shrdq $28,%r14,%r14 + addq %r9,%rbx + addq %rdi,%r9 + movq %rbx,%r13 + addq %r9,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r9 + movq %rcx,%r12 + shrdq $5,%r14,%r14 + xorq %rbx,%r13 + xorq %rdx,%r12 + shrdq $4,%r13,%r13 + xorq %r9,%r14 + andq %rbx,%r12 + xorq %rbx,%r13 + addq 88(%rsp),%r8 + movq %r9,%rdi + xorq %rdx,%r12 + shrdq $6,%r14,%r14 + xorq %r10,%rdi + addq %r12,%r8 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %r9,%r14 + addq %r13,%r8 + xorq %r10,%r15 + shrdq $28,%r14,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r8 + movq %rbx,%r12 + shrdq $5,%r14,%r14 + xorq %rax,%r13 + xorq %rcx,%r12 + shrdq $4,%r13,%r13 + xorq %r8,%r14 + andq %rax,%r12 + xorq %rax,%r13 + addq 96(%rsp),%rdx + movq %r8,%r15 + xorq %rcx,%r12 + shrdq $6,%r14,%r14 + xorq %r9,%r15 + addq %r12,%rdx + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %r8,%r14 + addq %r13,%rdx + xorq %r9,%rdi + shrdq $28,%r14,%r14 + addq %rdx,%r11 + addq %rdi,%rdx + movq %r11,%r13 + addq %rdx,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rdx + movq %rax,%r12 + shrdq $5,%r14,%r14 + xorq %r11,%r13 + xorq %rbx,%r12 + shrdq $4,%r13,%r13 + xorq %rdx,%r14 + andq %r11,%r12 + xorq %r11,%r13 + addq 104(%rsp),%rcx + movq %rdx,%rdi + xorq %rbx,%r12 + shrdq $6,%r14,%r14 + xorq %r8,%rdi + addq %r12,%rcx + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %rdx,%r14 + addq %r13,%rcx + xorq %r8,%r15 + shrdq $28,%r14,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rcx + movq %r11,%r12 + shrdq $5,%r14,%r14 + xorq %r10,%r13 + xorq %rax,%r12 + shrdq $4,%r13,%r13 + xorq %rcx,%r14 + andq %r10,%r12 + xorq %r10,%r13 + addq 112(%rsp),%rbx + movq %rcx,%r15 + xorq %rax,%r12 + shrdq $6,%r14,%r14 + xorq %rdx,%r15 + addq %r12,%rbx + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %rcx,%r14 + addq %r13,%rbx + xorq %rdx,%rdi + shrdq $28,%r14,%r14 + addq %rbx,%r9 + addq %rdi,%rbx + movq %r9,%r13 + addq %rbx,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rbx + movq %r10,%r12 + shrdq $5,%r14,%r14 + xorq %r9,%r13 + xorq %r11,%r12 + shrdq $4,%r13,%r13 + xorq %rbx,%r14 + andq %r9,%r12 + xorq %r9,%r13 + addq 120(%rsp),%rax + movq %rbx,%rdi + xorq %r11,%r12 + shrdq $6,%r14,%r14 + xorq %rcx,%rdi + addq %r12,%rax + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %rbx,%r14 + addq %r13,%rax + xorq %rcx,%r15 + shrdq $28,%r14,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + movq -64(%rbp),%rdi + movq %r14,%rax + movq -56(%rbp),%rsi + + addq 0(%rdi),%rax + addq 8(%rdi),%rbx + addq 16(%rdi),%rcx + addq 24(%rdi),%rdx + addq 32(%rdi),%r8 + addq 40(%rdi),%r9 + addq 48(%rdi),%r10 + addq 56(%rdi),%r11 + + leaq 128(%rsi),%rsi + cmpq -48(%rbp),%rsi + + movq %rax,0(%rdi) + movq %rbx,8(%rdi) + movq %rcx,16(%rdi) + movq %rdx,24(%rdi) + movq %r8,32(%rdi) + movq %r9,40(%rdi) + movq %r10,48(%rdi) + movq %r11,56(%rdi) + jb .Lloop_avx + + vzeroupper + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp +.cfi_def_cfa_register %rsp + popq %rbp +.cfi_adjust_cfa_offset -8 +.cfi_restore %rbp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbx + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_sha512_asm_block_data_order_avx,.-crypton_sha512_asm_block_data_order_avx +.type crypton_sha512_asm_block_data_order_avx2,@function +.align 64 +crypton_sha512_asm_block_data_order_avx2: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp +.Lavx2_shortcut: + pushq %rbx +.cfi_offset %rbx,-24 + pushq %r12 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_offset %r15,-56 + shlq $4,%rdx + subq $24,%rsp + + leaq (%rsi,%rdx,8),%rdx + movq %rdi,-64(%rbp) + + movq %rdx,-48(%rbp) + + + leaq -128(%rsp),%rsp + vzeroupper + andq $-128,%rsp + subq $-128,%rsi + movq 0(%rdi),%rax + movq %rsi,%r12 + movq 8(%rdi),%rbx + cmpq %rdx,%rsi + movq 16(%rdi),%rcx + cmoveq %rsp,%r12 + movq 24(%rdi),%rdx + movq 32(%rdi),%r8 + movq 40(%rdi),%r9 + movq 48(%rdi),%r10 + movq 56(%rdi),%r11 + jmp .Loop_avx2 +.align 16 +.Loop_avx2: + vmovdqa K512+1280(%rip),%ymm10 + movq %rsi,-56(%rbp) + vmovdqu -128(%rsi),%xmm0 + vmovdqu -128+16(%rsi),%xmm1 + vmovdqu -128+32(%rsi),%xmm2 + vmovdqu -128+48(%rsi),%xmm3 + vmovdqu -128+64(%rsi),%xmm4 + vmovdqu -128+80(%rsi),%xmm5 + vmovdqu -128+96(%rsi),%xmm6 + vmovdqu -128+112(%rsi),%xmm7 + leaq K512+128(%rip),%rsi + vinserti128 $1,(%r12),%ymm0,%ymm0 + vinserti128 $1,16(%r12),%ymm1,%ymm1 + vpshufb %ymm10,%ymm0,%ymm0 + vinserti128 $1,32(%r12),%ymm2,%ymm2 + vpshufb %ymm10,%ymm1,%ymm1 + vinserti128 $1,48(%r12),%ymm3,%ymm3 + vpshufb %ymm10,%ymm2,%ymm2 + vinserti128 $1,64(%r12),%ymm4,%ymm4 + vpshufb %ymm10,%ymm3,%ymm3 + vinserti128 $1,80(%r12),%ymm5,%ymm5 + vpshufb %ymm10,%ymm4,%ymm4 + vinserti128 $1,96(%r12),%ymm6,%ymm6 + vpshufb %ymm10,%ymm5,%ymm5 + vinserti128 $1,112(%r12),%ymm7,%ymm7 + + vpaddq -128(%rsi),%ymm0,%ymm8 + vpshufb %ymm10,%ymm6,%ymm6 + vpaddq -96(%rsi),%ymm1,%ymm9 + vpshufb %ymm10,%ymm7,%ymm7 + vpaddq -64(%rsi),%ymm2,%ymm10 + vpaddq -32(%rsi),%ymm3,%ymm11 + vmovdqa %ymm8,0(%rsp) + vpaddq 0(%rsi),%ymm4,%ymm8 + vmovdqa %ymm9,32(%rsp) + vpaddq 32(%rsi),%ymm5,%ymm9 + vmovdqa %ymm10,64(%rsp) + vpaddq 64(%rsi),%ymm6,%ymm10 + vmovdqa %ymm11,96(%rsp) + leaq -128(%rsp),%rsp + vpaddq 96(%rsi),%ymm7,%ymm11 + vmovdqa %ymm8,0(%rsp) + xorq %r14,%r14 + vmovdqa %ymm9,32(%rsp) + movq %rbx,%rdi + vmovdqa %ymm10,64(%rsp) + xorq %rcx,%rdi + vmovdqa %ymm11,96(%rsp) + movq %r9,%r12 + addq $32*8,%rsi + jmp .Lavx2_00_47 + +.align 16 +.Lavx2_00_47: + leaq -128(%rsp),%rsp + vpalignr $8,%ymm0,%ymm1,%ymm8 + addq 0+256(%rsp),%r11 + andq %r8,%r12 + rorxq $41,%r8,%r13 + vpalignr $8,%ymm4,%ymm5,%ymm11 + rorxq $18,%r8,%r15 + leaq (%rax,%r14,1),%rax + leaq (%r11,%r12,1),%r11 + vpsrlq $1,%ymm8,%ymm10 + andnq %r10,%r8,%r12 + xorq %r15,%r13 + rorxq $14,%r8,%r14 + vpaddq %ymm11,%ymm0,%ymm0 + vpsrlq $7,%ymm8,%ymm11 + leaq (%r11,%r12,1),%r11 + xorq %r14,%r13 + movq %rax,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%rax,%r12 + leaq (%r11,%r13,1),%r11 + xorq %rbx,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%rax,%r14 + rorxq $28,%rax,%r13 + leaq (%rdx,%r11,1),%rdx + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rbx,%rdi + vpsrlq $6,%ymm7,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%r11,%rdi,1),%r11 + movq %r8,%r12 + vpsllq $3,%ymm7,%ymm10 + vpaddq %ymm8,%ymm0,%ymm0 + addq 8+256(%rsp),%r10 + andq %rdx,%r12 + rorxq $41,%rdx,%r13 + vpsrlq $19,%ymm7,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%rdx,%rdi + leaq (%r11,%r14,1),%r11 + leaq (%r10,%r12,1),%r10 + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %r9,%rdx,%r12 + xorq %rdi,%r13 + rorxq $14,%rdx,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%r10,%r12,1),%r10 + xorq %r14,%r13 + movq %r11,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%r11,%r12 + leaq (%r10,%r13,1),%r10 + xorq %rax,%rdi + vpaddq %ymm11,%ymm0,%ymm0 + rorxq $34,%r11,%r14 + rorxq $28,%r11,%r13 + leaq (%rcx,%r10,1),%rcx + vpaddq -128(%rsi),%ymm0,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rax,%r15 + xorq %r13,%r14 + leaq (%r10,%r15,1),%r10 + movq %rdx,%r12 + vmovdqa %ymm10,0(%rsp) + vpalignr $8,%ymm1,%ymm2,%ymm8 + addq 32+256(%rsp),%r9 + andq %rcx,%r12 + rorxq $41,%rcx,%r13 + vpalignr $8,%ymm5,%ymm6,%ymm11 + rorxq $18,%rcx,%r15 + leaq (%r10,%r14,1),%r10 + leaq (%r9,%r12,1),%r9 + vpsrlq $1,%ymm8,%ymm10 + andnq %r8,%rcx,%r12 + xorq %r15,%r13 + rorxq $14,%rcx,%r14 + vpaddq %ymm11,%ymm1,%ymm1 + vpsrlq $7,%ymm8,%ymm11 + leaq (%r9,%r12,1),%r9 + xorq %r14,%r13 + movq %r10,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%r10,%r12 + leaq (%r9,%r13,1),%r9 + xorq %r11,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%r10,%r14 + rorxq $28,%r10,%r13 + leaq (%rbx,%r9,1),%rbx + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r11,%rdi + vpsrlq $6,%ymm0,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%r9,%rdi,1),%r9 + movq %rcx,%r12 + vpsllq $3,%ymm0,%ymm10 + vpaddq %ymm8,%ymm1,%ymm1 + addq 40+256(%rsp),%r8 + andq %rbx,%r12 + rorxq $41,%rbx,%r13 + vpsrlq $19,%ymm0,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%rbx,%rdi + leaq (%r9,%r14,1),%r9 + leaq (%r8,%r12,1),%r8 + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %rdx,%rbx,%r12 + xorq %rdi,%r13 + rorxq $14,%rbx,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%r8,%r12,1),%r8 + xorq %r14,%r13 + movq %r9,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%r9,%r12 + leaq (%r8,%r13,1),%r8 + xorq %r10,%rdi + vpaddq %ymm11,%ymm1,%ymm1 + rorxq $34,%r9,%r14 + rorxq $28,%r9,%r13 + leaq (%rax,%r8,1),%rax + vpaddq -96(%rsi),%ymm1,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r10,%r15 + xorq %r13,%r14 + leaq (%r8,%r15,1),%r8 + movq %rbx,%r12 + vmovdqa %ymm10,32(%rsp) + vpalignr $8,%ymm2,%ymm3,%ymm8 + addq 64+256(%rsp),%rdx + andq %rax,%r12 + rorxq $41,%rax,%r13 + vpalignr $8,%ymm6,%ymm7,%ymm11 + rorxq $18,%rax,%r15 + leaq (%r8,%r14,1),%r8 + leaq (%rdx,%r12,1),%rdx + vpsrlq $1,%ymm8,%ymm10 + andnq %rcx,%rax,%r12 + xorq %r15,%r13 + rorxq $14,%rax,%r14 + vpaddq %ymm11,%ymm2,%ymm2 + vpsrlq $7,%ymm8,%ymm11 + leaq (%rdx,%r12,1),%rdx + xorq %r14,%r13 + movq %r8,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%r8,%r12 + leaq (%rdx,%r13,1),%rdx + xorq %r9,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%r8,%r14 + rorxq $28,%r8,%r13 + leaq (%r11,%rdx,1),%r11 + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r9,%rdi + vpsrlq $6,%ymm1,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%rdx,%rdi,1),%rdx + movq %rax,%r12 + vpsllq $3,%ymm1,%ymm10 + vpaddq %ymm8,%ymm2,%ymm2 + addq 72+256(%rsp),%rcx + andq %r11,%r12 + rorxq $41,%r11,%r13 + vpsrlq $19,%ymm1,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%r11,%rdi + leaq (%rdx,%r14,1),%rdx + leaq (%rcx,%r12,1),%rcx + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %rbx,%r11,%r12 + xorq %rdi,%r13 + rorxq $14,%r11,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%rcx,%r12,1),%rcx + xorq %r14,%r13 + movq %rdx,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%rdx,%r12 + leaq (%rcx,%r13,1),%rcx + xorq %r8,%rdi + vpaddq %ymm11,%ymm2,%ymm2 + rorxq $34,%rdx,%r14 + rorxq $28,%rdx,%r13 + leaq (%r10,%rcx,1),%r10 + vpaddq -64(%rsi),%ymm2,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r8,%r15 + xorq %r13,%r14 + leaq (%rcx,%r15,1),%rcx + movq %r11,%r12 + vmovdqa %ymm10,64(%rsp) + vpalignr $8,%ymm3,%ymm4,%ymm8 + addq 96+256(%rsp),%rbx + andq %r10,%r12 + rorxq $41,%r10,%r13 + vpalignr $8,%ymm7,%ymm0,%ymm11 + rorxq $18,%r10,%r15 + leaq (%rcx,%r14,1),%rcx + leaq (%rbx,%r12,1),%rbx + vpsrlq $1,%ymm8,%ymm10 + andnq %rax,%r10,%r12 + xorq %r15,%r13 + rorxq $14,%r10,%r14 + vpaddq %ymm11,%ymm3,%ymm3 + vpsrlq $7,%ymm8,%ymm11 + leaq (%rbx,%r12,1),%rbx + xorq %r14,%r13 + movq %rcx,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%rcx,%r12 + leaq (%rbx,%r13,1),%rbx + xorq %rdx,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%rcx,%r14 + rorxq $28,%rcx,%r13 + leaq (%r9,%rbx,1),%r9 + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rdx,%rdi + vpsrlq $6,%ymm2,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%rbx,%rdi,1),%rbx + movq %r10,%r12 + vpsllq $3,%ymm2,%ymm10 + vpaddq %ymm8,%ymm3,%ymm3 + addq 104+256(%rsp),%rax + andq %r9,%r12 + rorxq $41,%r9,%r13 + vpsrlq $19,%ymm2,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%r9,%rdi + leaq (%rbx,%r14,1),%rbx + leaq (%rax,%r12,1),%rax + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %r11,%r9,%r12 + xorq %rdi,%r13 + rorxq $14,%r9,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%rax,%r12,1),%rax + xorq %r14,%r13 + movq %rbx,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%rbx,%r12 + leaq (%rax,%r13,1),%rax + xorq %rcx,%rdi + vpaddq %ymm11,%ymm3,%ymm3 + rorxq $34,%rbx,%r14 + rorxq $28,%rbx,%r13 + leaq (%r8,%rax,1),%r8 + vpaddq -32(%rsi),%ymm3,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rcx,%r15 + xorq %r13,%r14 + leaq (%rax,%r15,1),%rax + movq %r9,%r12 + vmovdqa %ymm10,96(%rsp) + leaq -128(%rsp),%rsp + vpalignr $8,%ymm4,%ymm5,%ymm8 + addq 0+256(%rsp),%r11 + andq %r8,%r12 + rorxq $41,%r8,%r13 + vpalignr $8,%ymm0,%ymm1,%ymm11 + rorxq $18,%r8,%r15 + leaq (%rax,%r14,1),%rax + leaq (%r11,%r12,1),%r11 + vpsrlq $1,%ymm8,%ymm10 + andnq %r10,%r8,%r12 + xorq %r15,%r13 + rorxq $14,%r8,%r14 + vpaddq %ymm11,%ymm4,%ymm4 + vpsrlq $7,%ymm8,%ymm11 + leaq (%r11,%r12,1),%r11 + xorq %r14,%r13 + movq %rax,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%rax,%r12 + leaq (%r11,%r13,1),%r11 + xorq %rbx,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%rax,%r14 + rorxq $28,%rax,%r13 + leaq (%rdx,%r11,1),%rdx + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rbx,%rdi + vpsrlq $6,%ymm3,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%r11,%rdi,1),%r11 + movq %r8,%r12 + vpsllq $3,%ymm3,%ymm10 + vpaddq %ymm8,%ymm4,%ymm4 + addq 8+256(%rsp),%r10 + andq %rdx,%r12 + rorxq $41,%rdx,%r13 + vpsrlq $19,%ymm3,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%rdx,%rdi + leaq (%r11,%r14,1),%r11 + leaq (%r10,%r12,1),%r10 + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %r9,%rdx,%r12 + xorq %rdi,%r13 + rorxq $14,%rdx,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%r10,%r12,1),%r10 + xorq %r14,%r13 + movq %r11,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%r11,%r12 + leaq (%r10,%r13,1),%r10 + xorq %rax,%rdi + vpaddq %ymm11,%ymm4,%ymm4 + rorxq $34,%r11,%r14 + rorxq $28,%r11,%r13 + leaq (%rcx,%r10,1),%rcx + vpaddq 0(%rsi),%ymm4,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rax,%r15 + xorq %r13,%r14 + leaq (%r10,%r15,1),%r10 + movq %rdx,%r12 + vmovdqa %ymm10,0(%rsp) + vpalignr $8,%ymm5,%ymm6,%ymm8 + addq 32+256(%rsp),%r9 + andq %rcx,%r12 + rorxq $41,%rcx,%r13 + vpalignr $8,%ymm1,%ymm2,%ymm11 + rorxq $18,%rcx,%r15 + leaq (%r10,%r14,1),%r10 + leaq (%r9,%r12,1),%r9 + vpsrlq $1,%ymm8,%ymm10 + andnq %r8,%rcx,%r12 + xorq %r15,%r13 + rorxq $14,%rcx,%r14 + vpaddq %ymm11,%ymm5,%ymm5 + vpsrlq $7,%ymm8,%ymm11 + leaq (%r9,%r12,1),%r9 + xorq %r14,%r13 + movq %r10,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%r10,%r12 + leaq (%r9,%r13,1),%r9 + xorq %r11,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%r10,%r14 + rorxq $28,%r10,%r13 + leaq (%rbx,%r9,1),%rbx + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r11,%rdi + vpsrlq $6,%ymm4,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%r9,%rdi,1),%r9 + movq %rcx,%r12 + vpsllq $3,%ymm4,%ymm10 + vpaddq %ymm8,%ymm5,%ymm5 + addq 40+256(%rsp),%r8 + andq %rbx,%r12 + rorxq $41,%rbx,%r13 + vpsrlq $19,%ymm4,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%rbx,%rdi + leaq (%r9,%r14,1),%r9 + leaq (%r8,%r12,1),%r8 + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %rdx,%rbx,%r12 + xorq %rdi,%r13 + rorxq $14,%rbx,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%r8,%r12,1),%r8 + xorq %r14,%r13 + movq %r9,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%r9,%r12 + leaq (%r8,%r13,1),%r8 + xorq %r10,%rdi + vpaddq %ymm11,%ymm5,%ymm5 + rorxq $34,%r9,%r14 + rorxq $28,%r9,%r13 + leaq (%rax,%r8,1),%rax + vpaddq 32(%rsi),%ymm5,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r10,%r15 + xorq %r13,%r14 + leaq (%r8,%r15,1),%r8 + movq %rbx,%r12 + vmovdqa %ymm10,32(%rsp) + vpalignr $8,%ymm6,%ymm7,%ymm8 + addq 64+256(%rsp),%rdx + andq %rax,%r12 + rorxq $41,%rax,%r13 + vpalignr $8,%ymm2,%ymm3,%ymm11 + rorxq $18,%rax,%r15 + leaq (%r8,%r14,1),%r8 + leaq (%rdx,%r12,1),%rdx + vpsrlq $1,%ymm8,%ymm10 + andnq %rcx,%rax,%r12 + xorq %r15,%r13 + rorxq $14,%rax,%r14 + vpaddq %ymm11,%ymm6,%ymm6 + vpsrlq $7,%ymm8,%ymm11 + leaq (%rdx,%r12,1),%rdx + xorq %r14,%r13 + movq %r8,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%r8,%r12 + leaq (%rdx,%r13,1),%rdx + xorq %r9,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%r8,%r14 + rorxq $28,%r8,%r13 + leaq (%r11,%rdx,1),%r11 + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r9,%rdi + vpsrlq $6,%ymm5,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%rdx,%rdi,1),%rdx + movq %rax,%r12 + vpsllq $3,%ymm5,%ymm10 + vpaddq %ymm8,%ymm6,%ymm6 + addq 72+256(%rsp),%rcx + andq %r11,%r12 + rorxq $41,%r11,%r13 + vpsrlq $19,%ymm5,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%r11,%rdi + leaq (%rdx,%r14,1),%rdx + leaq (%rcx,%r12,1),%rcx + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %rbx,%r11,%r12 + xorq %rdi,%r13 + rorxq $14,%r11,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%rcx,%r12,1),%rcx + xorq %r14,%r13 + movq %rdx,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%rdx,%r12 + leaq (%rcx,%r13,1),%rcx + xorq %r8,%rdi + vpaddq %ymm11,%ymm6,%ymm6 + rorxq $34,%rdx,%r14 + rorxq $28,%rdx,%r13 + leaq (%r10,%rcx,1),%r10 + vpaddq 64(%rsi),%ymm6,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r8,%r15 + xorq %r13,%r14 + leaq (%rcx,%r15,1),%rcx + movq %r11,%r12 + vmovdqa %ymm10,64(%rsp) + vpalignr $8,%ymm7,%ymm0,%ymm8 + addq 96+256(%rsp),%rbx + andq %r10,%r12 + rorxq $41,%r10,%r13 + vpalignr $8,%ymm3,%ymm4,%ymm11 + rorxq $18,%r10,%r15 + leaq (%rcx,%r14,1),%rcx + leaq (%rbx,%r12,1),%rbx + vpsrlq $1,%ymm8,%ymm10 + andnq %rax,%r10,%r12 + xorq %r15,%r13 + rorxq $14,%r10,%r14 + vpaddq %ymm11,%ymm7,%ymm7 + vpsrlq $7,%ymm8,%ymm11 + leaq (%rbx,%r12,1),%rbx + xorq %r14,%r13 + movq %rcx,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%rcx,%r12 + leaq (%rbx,%r13,1),%rbx + xorq %rdx,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%rcx,%r14 + rorxq $28,%rcx,%r13 + leaq (%r9,%rbx,1),%r9 + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rdx,%rdi + vpsrlq $6,%ymm6,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%rbx,%rdi,1),%rbx + movq %r10,%r12 + vpsllq $3,%ymm6,%ymm10 + vpaddq %ymm8,%ymm7,%ymm7 + addq 104+256(%rsp),%rax + andq %r9,%r12 + rorxq $41,%r9,%r13 + vpsrlq $19,%ymm6,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%r9,%rdi + leaq (%rbx,%r14,1),%rbx + leaq (%rax,%r12,1),%rax + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %r11,%r9,%r12 + xorq %rdi,%r13 + rorxq $14,%r9,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%rax,%r12,1),%rax + xorq %r14,%r13 + movq %rbx,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%rbx,%r12 + leaq (%rax,%r13,1),%rax + xorq %rcx,%rdi + vpaddq %ymm11,%ymm7,%ymm7 + rorxq $34,%rbx,%r14 + rorxq $28,%rbx,%r13 + leaq (%r8,%rax,1),%r8 + vpaddq 96(%rsi),%ymm7,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rcx,%r15 + xorq %r13,%r14 + leaq (%rax,%r15,1),%rax + movq %r9,%r12 + vmovdqa %ymm10,96(%rsp) + leaq 256(%rsi),%rsi + cmpb $0,-121(%rsi) + jne .Lavx2_00_47 + addq 0+128(%rsp),%r11 + andq %r8,%r12 + rorxq $41,%r8,%r13 + rorxq $18,%r8,%r15 + leaq (%rax,%r14,1),%rax + leaq (%r11,%r12,1),%r11 + andnq %r10,%r8,%r12 + xorq %r15,%r13 + rorxq $14,%r8,%r14 + leaq (%r11,%r12,1),%r11 + xorq %r14,%r13 + movq %rax,%r15 + rorxq $39,%rax,%r12 + leaq (%r11,%r13,1),%r11 + xorq %rbx,%r15 + rorxq $34,%rax,%r14 + rorxq $28,%rax,%r13 + leaq (%rdx,%r11,1),%rdx + andq %r15,%rdi + xorq %r12,%r14 + xorq %rbx,%rdi + xorq %r13,%r14 + leaq (%r11,%rdi,1),%r11 + movq %r8,%r12 + addq 8+128(%rsp),%r10 + andq %rdx,%r12 + rorxq $41,%rdx,%r13 + rorxq $18,%rdx,%rdi + leaq (%r11,%r14,1),%r11 + leaq (%r10,%r12,1),%r10 + andnq %r9,%rdx,%r12 + xorq %rdi,%r13 + rorxq $14,%rdx,%r14 + leaq (%r10,%r12,1),%r10 + xorq %r14,%r13 + movq %r11,%rdi + rorxq $39,%r11,%r12 + leaq (%r10,%r13,1),%r10 + xorq %rax,%rdi + rorxq $34,%r11,%r14 + rorxq $28,%r11,%r13 + leaq (%rcx,%r10,1),%rcx + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rax,%r15 + xorq %r13,%r14 + leaq (%r10,%r15,1),%r10 + movq %rdx,%r12 + addq 32+128(%rsp),%r9 + andq %rcx,%r12 + rorxq $41,%rcx,%r13 + rorxq $18,%rcx,%r15 + leaq (%r10,%r14,1),%r10 + leaq (%r9,%r12,1),%r9 + andnq %r8,%rcx,%r12 + xorq %r15,%r13 + rorxq $14,%rcx,%r14 + leaq (%r9,%r12,1),%r9 + xorq %r14,%r13 + movq %r10,%r15 + rorxq $39,%r10,%r12 + leaq (%r9,%r13,1),%r9 + xorq %r11,%r15 + rorxq $34,%r10,%r14 + rorxq $28,%r10,%r13 + leaq (%rbx,%r9,1),%rbx + andq %r15,%rdi + xorq %r12,%r14 + xorq %r11,%rdi + xorq %r13,%r14 + leaq (%r9,%rdi,1),%r9 + movq %rcx,%r12 + addq 40+128(%rsp),%r8 + andq %rbx,%r12 + rorxq $41,%rbx,%r13 + rorxq $18,%rbx,%rdi + leaq (%r9,%r14,1),%r9 + leaq (%r8,%r12,1),%r8 + andnq %rdx,%rbx,%r12 + xorq %rdi,%r13 + rorxq $14,%rbx,%r14 + leaq (%r8,%r12,1),%r8 + xorq %r14,%r13 + movq %r9,%rdi + rorxq $39,%r9,%r12 + leaq (%r8,%r13,1),%r8 + xorq %r10,%rdi + rorxq $34,%r9,%r14 + rorxq $28,%r9,%r13 + leaq (%rax,%r8,1),%rax + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r10,%r15 + xorq %r13,%r14 + leaq (%r8,%r15,1),%r8 + movq %rbx,%r12 + addq 64+128(%rsp),%rdx + andq %rax,%r12 + rorxq $41,%rax,%r13 + rorxq $18,%rax,%r15 + leaq (%r8,%r14,1),%r8 + leaq (%rdx,%r12,1),%rdx + andnq %rcx,%rax,%r12 + xorq %r15,%r13 + rorxq $14,%rax,%r14 + leaq (%rdx,%r12,1),%rdx + xorq %r14,%r13 + movq %r8,%r15 + rorxq $39,%r8,%r12 + leaq (%rdx,%r13,1),%rdx + xorq %r9,%r15 + rorxq $34,%r8,%r14 + rorxq $28,%r8,%r13 + leaq (%r11,%rdx,1),%r11 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r9,%rdi + xorq %r13,%r14 + leaq (%rdx,%rdi,1),%rdx + movq %rax,%r12 + addq 72+128(%rsp),%rcx + andq %r11,%r12 + rorxq $41,%r11,%r13 + rorxq $18,%r11,%rdi + leaq (%rdx,%r14,1),%rdx + leaq (%rcx,%r12,1),%rcx + andnq %rbx,%r11,%r12 + xorq %rdi,%r13 + rorxq $14,%r11,%r14 + leaq (%rcx,%r12,1),%rcx + xorq %r14,%r13 + movq %rdx,%rdi + rorxq $39,%rdx,%r12 + leaq (%rcx,%r13,1),%rcx + xorq %r8,%rdi + rorxq $34,%rdx,%r14 + rorxq $28,%rdx,%r13 + leaq (%r10,%rcx,1),%r10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r8,%r15 + xorq %r13,%r14 + leaq (%rcx,%r15,1),%rcx + movq %r11,%r12 + addq 96+128(%rsp),%rbx + andq %r10,%r12 + rorxq $41,%r10,%r13 + rorxq $18,%r10,%r15 + leaq (%rcx,%r14,1),%rcx + leaq (%rbx,%r12,1),%rbx + andnq %rax,%r10,%r12 + xorq %r15,%r13 + rorxq $14,%r10,%r14 + leaq (%rbx,%r12,1),%rbx + xorq %r14,%r13 + movq %rcx,%r15 + rorxq $39,%rcx,%r12 + leaq (%rbx,%r13,1),%rbx + xorq %rdx,%r15 + rorxq $34,%rcx,%r14 + rorxq $28,%rcx,%r13 + leaq (%r9,%rbx,1),%r9 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rdx,%rdi + xorq %r13,%r14 + leaq (%rbx,%rdi,1),%rbx + movq %r10,%r12 + addq 104+128(%rsp),%rax + andq %r9,%r12 + rorxq $41,%r9,%r13 + rorxq $18,%r9,%rdi + leaq (%rbx,%r14,1),%rbx + leaq (%rax,%r12,1),%rax + andnq %r11,%r9,%r12 + xorq %rdi,%r13 + rorxq $14,%r9,%r14 + leaq (%rax,%r12,1),%rax + xorq %r14,%r13 + movq %rbx,%rdi + rorxq $39,%rbx,%r12 + leaq (%rax,%r13,1),%rax + xorq %rcx,%rdi + rorxq $34,%rbx,%r14 + rorxq $28,%rbx,%r13 + leaq (%r8,%rax,1),%r8 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rcx,%r15 + xorq %r13,%r14 + leaq (%rax,%r15,1),%rax + movq %r9,%r12 + addq 0(%rsp),%r11 + andq %r8,%r12 + rorxq $41,%r8,%r13 + rorxq $18,%r8,%r15 + leaq (%rax,%r14,1),%rax + leaq (%r11,%r12,1),%r11 + andnq %r10,%r8,%r12 + xorq %r15,%r13 + rorxq $14,%r8,%r14 + leaq (%r11,%r12,1),%r11 + xorq %r14,%r13 + movq %rax,%r15 + rorxq $39,%rax,%r12 + leaq (%r11,%r13,1),%r11 + xorq %rbx,%r15 + rorxq $34,%rax,%r14 + rorxq $28,%rax,%r13 + leaq (%rdx,%r11,1),%rdx + andq %r15,%rdi + xorq %r12,%r14 + xorq %rbx,%rdi + xorq %r13,%r14 + leaq (%r11,%rdi,1),%r11 + movq %r8,%r12 + addq 8(%rsp),%r10 + andq %rdx,%r12 + rorxq $41,%rdx,%r13 + rorxq $18,%rdx,%rdi + leaq (%r11,%r14,1),%r11 + leaq (%r10,%r12,1),%r10 + andnq %r9,%rdx,%r12 + xorq %rdi,%r13 + rorxq $14,%rdx,%r14 + leaq (%r10,%r12,1),%r10 + xorq %r14,%r13 + movq %r11,%rdi + rorxq $39,%r11,%r12 + leaq (%r10,%r13,1),%r10 + xorq %rax,%rdi + rorxq $34,%r11,%r14 + rorxq $28,%r11,%r13 + leaq (%rcx,%r10,1),%rcx + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rax,%r15 + xorq %r13,%r14 + leaq (%r10,%r15,1),%r10 + movq %rdx,%r12 + addq 32(%rsp),%r9 + andq %rcx,%r12 + rorxq $41,%rcx,%r13 + rorxq $18,%rcx,%r15 + leaq (%r10,%r14,1),%r10 + leaq (%r9,%r12,1),%r9 + andnq %r8,%rcx,%r12 + xorq %r15,%r13 + rorxq $14,%rcx,%r14 + leaq (%r9,%r12,1),%r9 + xorq %r14,%r13 + movq %r10,%r15 + rorxq $39,%r10,%r12 + leaq (%r9,%r13,1),%r9 + xorq %r11,%r15 + rorxq $34,%r10,%r14 + rorxq $28,%r10,%r13 + leaq (%rbx,%r9,1),%rbx + andq %r15,%rdi + xorq %r12,%r14 + xorq %r11,%rdi + xorq %r13,%r14 + leaq (%r9,%rdi,1),%r9 + movq %rcx,%r12 + addq 40(%rsp),%r8 + andq %rbx,%r12 + rorxq $41,%rbx,%r13 + rorxq $18,%rbx,%rdi + leaq (%r9,%r14,1),%r9 + leaq (%r8,%r12,1),%r8 + andnq %rdx,%rbx,%r12 + xorq %rdi,%r13 + rorxq $14,%rbx,%r14 + leaq (%r8,%r12,1),%r8 + xorq %r14,%r13 + movq %r9,%rdi + rorxq $39,%r9,%r12 + leaq (%r8,%r13,1),%r8 + xorq %r10,%rdi + rorxq $34,%r9,%r14 + rorxq $28,%r9,%r13 + leaq (%rax,%r8,1),%rax + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r10,%r15 + xorq %r13,%r14 + leaq (%r8,%r15,1),%r8 + movq %rbx,%r12 + addq 64(%rsp),%rdx + andq %rax,%r12 + rorxq $41,%rax,%r13 + rorxq $18,%rax,%r15 + leaq (%r8,%r14,1),%r8 + leaq (%rdx,%r12,1),%rdx + andnq %rcx,%rax,%r12 + xorq %r15,%r13 + rorxq $14,%rax,%r14 + leaq (%rdx,%r12,1),%rdx + xorq %r14,%r13 + movq %r8,%r15 + rorxq $39,%r8,%r12 + leaq (%rdx,%r13,1),%rdx + xorq %r9,%r15 + rorxq $34,%r8,%r14 + rorxq $28,%r8,%r13 + leaq (%r11,%rdx,1),%r11 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r9,%rdi + xorq %r13,%r14 + leaq (%rdx,%rdi,1),%rdx + movq %rax,%r12 + addq 72(%rsp),%rcx + andq %r11,%r12 + rorxq $41,%r11,%r13 + rorxq $18,%r11,%rdi + leaq (%rdx,%r14,1),%rdx + leaq (%rcx,%r12,1),%rcx + andnq %rbx,%r11,%r12 + xorq %rdi,%r13 + rorxq $14,%r11,%r14 + leaq (%rcx,%r12,1),%rcx + xorq %r14,%r13 + movq %rdx,%rdi + rorxq $39,%rdx,%r12 + leaq (%rcx,%r13,1),%rcx + xorq %r8,%rdi + rorxq $34,%rdx,%r14 + rorxq $28,%rdx,%r13 + leaq (%r10,%rcx,1),%r10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r8,%r15 + xorq %r13,%r14 + leaq (%rcx,%r15,1),%rcx + movq %r11,%r12 + addq 96(%rsp),%rbx + andq %r10,%r12 + rorxq $41,%r10,%r13 + rorxq $18,%r10,%r15 + leaq (%rcx,%r14,1),%rcx + leaq (%rbx,%r12,1),%rbx + andnq %rax,%r10,%r12 + xorq %r15,%r13 + rorxq $14,%r10,%r14 + leaq (%rbx,%r12,1),%rbx + xorq %r14,%r13 + movq %rcx,%r15 + rorxq $39,%rcx,%r12 + leaq (%rbx,%r13,1),%rbx + xorq %rdx,%r15 + rorxq $34,%rcx,%r14 + rorxq $28,%rcx,%r13 + leaq (%r9,%rbx,1),%r9 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rdx,%rdi + xorq %r13,%r14 + leaq (%rbx,%rdi,1),%rbx + movq %r10,%r12 + addq 104(%rsp),%rax + andq %r9,%r12 + rorxq $41,%r9,%r13 + rorxq $18,%r9,%rdi + leaq (%rbx,%r14,1),%rbx + leaq (%rax,%r12,1),%rax + andnq %r11,%r9,%r12 + xorq %rdi,%r13 + rorxq $14,%r9,%r14 + leaq (%rax,%r12,1),%rax + xorq %r14,%r13 + movq %rbx,%rdi + rorxq $39,%rbx,%r12 + leaq (%rax,%r13,1),%rax + xorq %rcx,%rdi + rorxq $34,%rbx,%r14 + rorxq $28,%rbx,%r13 + leaq (%r8,%rax,1),%r8 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rcx,%r15 + xorq %r13,%r14 + leaq (%rax,%r15,1),%rax + movq %r9,%r12 + movq -64(%rbp),%rdi + addq %r14,%rax + movq -56(%rbp),%r12 + + addq 0(%rdi),%rax + addq 8(%rdi),%rbx + addq 16(%rdi),%rcx + addq 24(%rdi),%rdx + addq 32(%rdi),%r8 + addq 40(%rdi),%r9 + addq 48(%rdi),%r10 + addq 56(%rdi),%r11 + + movq %rax,0(%rdi) + movq %rbx,8(%rdi) + movq %rcx,16(%rdi) + movq %rdx,24(%rdi) + movq %r8,32(%rdi) + movq %r9,40(%rdi) + movq %r10,48(%rdi) + movq %r11,56(%rdi) + + cmpq -48(%rbp),%r12 + je .Ldone_avx2 + + leaq 1152(%rsp),%rsi + xorq %r14,%r14 + movq %rbx,%rdi + xorq %rcx,%rdi + movq %r9,%r12 + jmp .Lower_avx2 +.align 16 +.Lower_avx2: + addq 0+16(%rsi),%r11 + andq %r8,%r12 + rorxq $41,%r8,%r13 + rorxq $18,%r8,%r15 + leaq (%rax,%r14,1),%rax + leaq (%r11,%r12,1),%r11 + andnq %r10,%r8,%r12 + xorq %r15,%r13 + rorxq $14,%r8,%r14 + leaq (%r11,%r12,1),%r11 + xorq %r14,%r13 + movq %rax,%r15 + rorxq $39,%rax,%r12 + leaq (%r11,%r13,1),%r11 + xorq %rbx,%r15 + rorxq $34,%rax,%r14 + rorxq $28,%rax,%r13 + leaq (%rdx,%r11,1),%rdx + andq %r15,%rdi + xorq %r12,%r14 + xorq %rbx,%rdi + xorq %r13,%r14 + leaq (%r11,%rdi,1),%r11 + movq %r8,%r12 + addq 8+16(%rsi),%r10 + andq %rdx,%r12 + rorxq $41,%rdx,%r13 + rorxq $18,%rdx,%rdi + leaq (%r11,%r14,1),%r11 + leaq (%r10,%r12,1),%r10 + andnq %r9,%rdx,%r12 + xorq %rdi,%r13 + rorxq $14,%rdx,%r14 + leaq (%r10,%r12,1),%r10 + xorq %r14,%r13 + movq %r11,%rdi + rorxq $39,%r11,%r12 + leaq (%r10,%r13,1),%r10 + xorq %rax,%rdi + rorxq $34,%r11,%r14 + rorxq $28,%r11,%r13 + leaq (%rcx,%r10,1),%rcx + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rax,%r15 + xorq %r13,%r14 + leaq (%r10,%r15,1),%r10 + movq %rdx,%r12 + addq 32+16(%rsi),%r9 + andq %rcx,%r12 + rorxq $41,%rcx,%r13 + rorxq $18,%rcx,%r15 + leaq (%r10,%r14,1),%r10 + leaq (%r9,%r12,1),%r9 + andnq %r8,%rcx,%r12 + xorq %r15,%r13 + rorxq $14,%rcx,%r14 + leaq (%r9,%r12,1),%r9 + xorq %r14,%r13 + movq %r10,%r15 + rorxq $39,%r10,%r12 + leaq (%r9,%r13,1),%r9 + xorq %r11,%r15 + rorxq $34,%r10,%r14 + rorxq $28,%r10,%r13 + leaq (%rbx,%r9,1),%rbx + andq %r15,%rdi + xorq %r12,%r14 + xorq %r11,%rdi + xorq %r13,%r14 + leaq (%r9,%rdi,1),%r9 + movq %rcx,%r12 + addq 40+16(%rsi),%r8 + andq %rbx,%r12 + rorxq $41,%rbx,%r13 + rorxq $18,%rbx,%rdi + leaq (%r9,%r14,1),%r9 + leaq (%r8,%r12,1),%r8 + andnq %rdx,%rbx,%r12 + xorq %rdi,%r13 + rorxq $14,%rbx,%r14 + leaq (%r8,%r12,1),%r8 + xorq %r14,%r13 + movq %r9,%rdi + rorxq $39,%r9,%r12 + leaq (%r8,%r13,1),%r8 + xorq %r10,%rdi + rorxq $34,%r9,%r14 + rorxq $28,%r9,%r13 + leaq (%rax,%r8,1),%rax + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r10,%r15 + xorq %r13,%r14 + leaq (%r8,%r15,1),%r8 + movq %rbx,%r12 + addq 64+16(%rsi),%rdx + andq %rax,%r12 + rorxq $41,%rax,%r13 + rorxq $18,%rax,%r15 + leaq (%r8,%r14,1),%r8 + leaq (%rdx,%r12,1),%rdx + andnq %rcx,%rax,%r12 + xorq %r15,%r13 + rorxq $14,%rax,%r14 + leaq (%rdx,%r12,1),%rdx + xorq %r14,%r13 + movq %r8,%r15 + rorxq $39,%r8,%r12 + leaq (%rdx,%r13,1),%rdx + xorq %r9,%r15 + rorxq $34,%r8,%r14 + rorxq $28,%r8,%r13 + leaq (%r11,%rdx,1),%r11 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r9,%rdi + xorq %r13,%r14 + leaq (%rdx,%rdi,1),%rdx + movq %rax,%r12 + addq 72+16(%rsi),%rcx + andq %r11,%r12 + rorxq $41,%r11,%r13 + rorxq $18,%r11,%rdi + leaq (%rdx,%r14,1),%rdx + leaq (%rcx,%r12,1),%rcx + andnq %rbx,%r11,%r12 + xorq %rdi,%r13 + rorxq $14,%r11,%r14 + leaq (%rcx,%r12,1),%rcx + xorq %r14,%r13 + movq %rdx,%rdi + rorxq $39,%rdx,%r12 + leaq (%rcx,%r13,1),%rcx + xorq %r8,%rdi + rorxq $34,%rdx,%r14 + rorxq $28,%rdx,%r13 + leaq (%r10,%rcx,1),%r10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r8,%r15 + xorq %r13,%r14 + leaq (%rcx,%r15,1),%rcx + movq %r11,%r12 + addq 96+16(%rsi),%rbx + andq %r10,%r12 + rorxq $41,%r10,%r13 + rorxq $18,%r10,%r15 + leaq (%rcx,%r14,1),%rcx + leaq (%rbx,%r12,1),%rbx + andnq %rax,%r10,%r12 + xorq %r15,%r13 + rorxq $14,%r10,%r14 + leaq (%rbx,%r12,1),%rbx + xorq %r14,%r13 + movq %rcx,%r15 + rorxq $39,%rcx,%r12 + leaq (%rbx,%r13,1),%rbx + xorq %rdx,%r15 + rorxq $34,%rcx,%r14 + rorxq $28,%rcx,%r13 + leaq (%r9,%rbx,1),%r9 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rdx,%rdi + xorq %r13,%r14 + leaq (%rbx,%rdi,1),%rbx + movq %r10,%r12 + addq 104+16(%rsi),%rax + andq %r9,%r12 + rorxq $41,%r9,%r13 + rorxq $18,%r9,%rdi + leaq (%rbx,%r14,1),%rbx + leaq (%rax,%r12,1),%rax + andnq %r11,%r9,%r12 + xorq %rdi,%r13 + rorxq $14,%r9,%r14 + leaq (%rax,%r12,1),%rax + xorq %r14,%r13 + movq %rbx,%rdi + rorxq $39,%rbx,%r12 + leaq (%rax,%r13,1),%rax + xorq %rcx,%rdi + rorxq $34,%rbx,%r14 + rorxq $28,%rbx,%r13 + leaq (%r8,%rax,1),%r8 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rcx,%r15 + xorq %r13,%r14 + leaq (%rax,%r15,1),%rax + movq %r9,%r12 + leaq -128(%rsi),%rsi + cmpq %rsp,%rsi + jae .Lower_avx2 + + movq -64(%rbp),%rdi + addq %r14,%rax + movq -56(%rbp),%rsi + leaq 1152(%rsp),%rsp + + addq 0(%rdi),%rax + addq 8(%rdi),%rbx + addq 16(%rdi),%rcx + addq 24(%rdi),%rdx + addq 32(%rdi),%r8 + addq 40(%rdi),%r9 + leaq 256(%rsi),%rsi + addq 48(%rdi),%r10 + movq %rsi,%r12 + addq 56(%rdi),%r11 + cmpq -48(%rbp),%rsi + + movq %rax,0(%rdi) + cmoveq %rsp,%r12 + movq %rbx,8(%rdi) + movq %rcx,16(%rdi) + movq %rdx,24(%rdi) + movq %r8,32(%rdi) + movq %r9,40(%rdi) + movq %r10,48(%rdi) + movq %r11,56(%rdi) + + jbe .Loop_avx2 + +.Ldone_avx2: + vzeroupper + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp +.cfi_def_cfa_register %rsp + popq %rbp +.cfi_adjust_cfa_offset -8 +.cfi_restore %rbp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbx + .byte 0xf3,0xc3 +.cfi_endproc +.size crypton_sha512_asm_block_data_order_avx2,.-crypton_sha512_asm_block_data_order_avx2 + +.section .note.gnu.property,"a",@note + .long 4,2f-1f,5 + .byte 0x47,0x4E,0x55,0 +1: .long 0xc0000002,4,3 +.align 8 +2: + +.section .note.GNU-stack,"",@progbits diff --git a/cbits/asm/sha512-x86_64-macosx.S b/cbits/asm/sha512-x86_64-macosx.S new file mode 100644 --- /dev/null +++ b/cbits/asm/sha512-x86_64-macosx.S @@ -0,0 +1,5718 @@ +.text + + +.globl _crypton_sha512_asm_block_data_order + +.p2align 4 +_crypton_sha512_asm_block_data_order: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp + leaq _crypton_ia32cap_P(%rip),%rax + movl 0(%rax),%r9d + movl 4(%rax),%r10d + movl 8(%rax),%eax + testl $2048,%r10d + jnz L$xop_shortcut + andl $296,%eax + cmpl $296,%eax + je L$avx2_shortcut + andl $1073741824,%r9d + andl $268435968,%r10d + orl %r9d,%r10d + cmpl $1342177792,%r10d + je L$avx_shortcut + pushq %rbx +.cfi_offset %rbx,-24 + pushq %r12 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_offset %r15,-56 + shlq $4,%rdx + subq $128+24,%rsp + +.cfi_def_cfa %rsp,208 + + leaq (%rsi,%rdx,8),%rdx + movq %rdi,128+0(%rsp) + movq %rsi,128+8(%rsp) + movq %rdx,128+16(%rsp) + + movq 0(%rdi),%rax + movq 8(%rdi),%rbx + movq 16(%rdi),%rcx + movq 24(%rdi),%rdx + movq 32(%rdi),%r8 + movq 40(%rdi),%r9 + movq 48(%rdi),%r10 + movq 56(%rdi),%r11 + jmp L$loop + +.p2align 4 +L$loop: + movq %rbx,%rdi + leaq K512(%rip),%rbp + xorq %rcx,%rdi + movq 0(%rsi),%r12 + movq %r8,%r13 + movq %rax,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r9,%r15 + + xorq %r8,%r13 + rorq $5,%r14 + xorq %r10,%r15 + + movq %r12,0(%rsp) + xorq %rax,%r14 + andq %r8,%r15 + + rorq $4,%r13 + addq %r11,%r12 + xorq %r10,%r15 + + rorq $6,%r14 + xorq %r8,%r13 + addq %r15,%r12 + + movq %rax,%r15 + addq (%rbp),%r12 + xorq %rax,%r14 + + xorq %rbx,%r15 + rorq $14,%r13 + movq %rbx,%r11 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r11 + addq %r12,%rdx + addq %r12,%r11 + + leaq 8(%rbp),%rbp + addq %r14,%r11 + movq 8(%rsi),%r12 + movq %rdx,%r13 + movq %r11,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r8,%rdi + + xorq %rdx,%r13 + rorq $5,%r14 + xorq %r9,%rdi + + movq %r12,8(%rsp) + xorq %r11,%r14 + andq %rdx,%rdi + + rorq $4,%r13 + addq %r10,%r12 + xorq %r9,%rdi + + rorq $6,%r14 + xorq %rdx,%r13 + addq %rdi,%r12 + + movq %r11,%rdi + addq (%rbp),%r12 + xorq %r11,%r14 + + xorq %rax,%rdi + rorq $14,%r13 + movq %rax,%r10 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r10 + addq %r12,%rcx + addq %r12,%r10 + + leaq 24(%rbp),%rbp + addq %r14,%r10 + movq 16(%rsi),%r12 + movq %rcx,%r13 + movq %r10,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rdx,%r15 + + xorq %rcx,%r13 + rorq $5,%r14 + xorq %r8,%r15 + + movq %r12,16(%rsp) + xorq %r10,%r14 + andq %rcx,%r15 + + rorq $4,%r13 + addq %r9,%r12 + xorq %r8,%r15 + + rorq $6,%r14 + xorq %rcx,%r13 + addq %r15,%r12 + + movq %r10,%r15 + addq (%rbp),%r12 + xorq %r10,%r14 + + xorq %r11,%r15 + rorq $14,%r13 + movq %r11,%r9 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r9 + addq %r12,%rbx + addq %r12,%r9 + + leaq 8(%rbp),%rbp + addq %r14,%r9 + movq 24(%rsi),%r12 + movq %rbx,%r13 + movq %r9,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rcx,%rdi + + xorq %rbx,%r13 + rorq $5,%r14 + xorq %rdx,%rdi + + movq %r12,24(%rsp) + xorq %r9,%r14 + andq %rbx,%rdi + + rorq $4,%r13 + addq %r8,%r12 + xorq %rdx,%rdi + + rorq $6,%r14 + xorq %rbx,%r13 + addq %rdi,%r12 + + movq %r9,%rdi + addq (%rbp),%r12 + xorq %r9,%r14 + + xorq %r10,%rdi + rorq $14,%r13 + movq %r10,%r8 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r8 + addq %r12,%rax + addq %r12,%r8 + + leaq 24(%rbp),%rbp + addq %r14,%r8 + movq 32(%rsi),%r12 + movq %rax,%r13 + movq %r8,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rbx,%r15 + + xorq %rax,%r13 + rorq $5,%r14 + xorq %rcx,%r15 + + movq %r12,32(%rsp) + xorq %r8,%r14 + andq %rax,%r15 + + rorq $4,%r13 + addq %rdx,%r12 + xorq %rcx,%r15 + + rorq $6,%r14 + xorq %rax,%r13 + addq %r15,%r12 + + movq %r8,%r15 + addq (%rbp),%r12 + xorq %r8,%r14 + + xorq %r9,%r15 + rorq $14,%r13 + movq %r9,%rdx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rdx + addq %r12,%r11 + addq %r12,%rdx + + leaq 8(%rbp),%rbp + addq %r14,%rdx + movq 40(%rsi),%r12 + movq %r11,%r13 + movq %rdx,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rax,%rdi + + xorq %r11,%r13 + rorq $5,%r14 + xorq %rbx,%rdi + + movq %r12,40(%rsp) + xorq %rdx,%r14 + andq %r11,%rdi + + rorq $4,%r13 + addq %rcx,%r12 + xorq %rbx,%rdi + + rorq $6,%r14 + xorq %r11,%r13 + addq %rdi,%r12 + + movq %rdx,%rdi + addq (%rbp),%r12 + xorq %rdx,%r14 + + xorq %r8,%rdi + rorq $14,%r13 + movq %r8,%rcx + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rcx + addq %r12,%r10 + addq %r12,%rcx + + leaq 24(%rbp),%rbp + addq %r14,%rcx + movq 48(%rsi),%r12 + movq %r10,%r13 + movq %rcx,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r11,%r15 + + xorq %r10,%r13 + rorq $5,%r14 + xorq %rax,%r15 + + movq %r12,48(%rsp) + xorq %rcx,%r14 + andq %r10,%r15 + + rorq $4,%r13 + addq %rbx,%r12 + xorq %rax,%r15 + + rorq $6,%r14 + xorq %r10,%r13 + addq %r15,%r12 + + movq %rcx,%r15 + addq (%rbp),%r12 + xorq %rcx,%r14 + + xorq %rdx,%r15 + rorq $14,%r13 + movq %rdx,%rbx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rbx + addq %r12,%r9 + addq %r12,%rbx + + leaq 8(%rbp),%rbp + addq %r14,%rbx + movq 56(%rsi),%r12 + movq %r9,%r13 + movq %rbx,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r10,%rdi + + xorq %r9,%r13 + rorq $5,%r14 + xorq %r11,%rdi + + movq %r12,56(%rsp) + xorq %rbx,%r14 + andq %r9,%rdi + + rorq $4,%r13 + addq %rax,%r12 + xorq %r11,%rdi + + rorq $6,%r14 + xorq %r9,%r13 + addq %rdi,%r12 + + movq %rbx,%rdi + addq (%rbp),%r12 + xorq %rbx,%r14 + + xorq %rcx,%rdi + rorq $14,%r13 + movq %rcx,%rax + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rax + addq %r12,%r8 + addq %r12,%rax + + leaq 24(%rbp),%rbp + addq %r14,%rax + movq 64(%rsi),%r12 + movq %r8,%r13 + movq %rax,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r9,%r15 + + xorq %r8,%r13 + rorq $5,%r14 + xorq %r10,%r15 + + movq %r12,64(%rsp) + xorq %rax,%r14 + andq %r8,%r15 + + rorq $4,%r13 + addq %r11,%r12 + xorq %r10,%r15 + + rorq $6,%r14 + xorq %r8,%r13 + addq %r15,%r12 + + movq %rax,%r15 + addq (%rbp),%r12 + xorq %rax,%r14 + + xorq %rbx,%r15 + rorq $14,%r13 + movq %rbx,%r11 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r11 + addq %r12,%rdx + addq %r12,%r11 + + leaq 8(%rbp),%rbp + addq %r14,%r11 + movq 72(%rsi),%r12 + movq %rdx,%r13 + movq %r11,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r8,%rdi + + xorq %rdx,%r13 + rorq $5,%r14 + xorq %r9,%rdi + + movq %r12,72(%rsp) + xorq %r11,%r14 + andq %rdx,%rdi + + rorq $4,%r13 + addq %r10,%r12 + xorq %r9,%rdi + + rorq $6,%r14 + xorq %rdx,%r13 + addq %rdi,%r12 + + movq %r11,%rdi + addq (%rbp),%r12 + xorq %r11,%r14 + + xorq %rax,%rdi + rorq $14,%r13 + movq %rax,%r10 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r10 + addq %r12,%rcx + addq %r12,%r10 + + leaq 24(%rbp),%rbp + addq %r14,%r10 + movq 80(%rsi),%r12 + movq %rcx,%r13 + movq %r10,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rdx,%r15 + + xorq %rcx,%r13 + rorq $5,%r14 + xorq %r8,%r15 + + movq %r12,80(%rsp) + xorq %r10,%r14 + andq %rcx,%r15 + + rorq $4,%r13 + addq %r9,%r12 + xorq %r8,%r15 + + rorq $6,%r14 + xorq %rcx,%r13 + addq %r15,%r12 + + movq %r10,%r15 + addq (%rbp),%r12 + xorq %r10,%r14 + + xorq %r11,%r15 + rorq $14,%r13 + movq %r11,%r9 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r9 + addq %r12,%rbx + addq %r12,%r9 + + leaq 8(%rbp),%rbp + addq %r14,%r9 + movq 88(%rsi),%r12 + movq %rbx,%r13 + movq %r9,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rcx,%rdi + + xorq %rbx,%r13 + rorq $5,%r14 + xorq %rdx,%rdi + + movq %r12,88(%rsp) + xorq %r9,%r14 + andq %rbx,%rdi + + rorq $4,%r13 + addq %r8,%r12 + xorq %rdx,%rdi + + rorq $6,%r14 + xorq %rbx,%r13 + addq %rdi,%r12 + + movq %r9,%rdi + addq (%rbp),%r12 + xorq %r9,%r14 + + xorq %r10,%rdi + rorq $14,%r13 + movq %r10,%r8 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r8 + addq %r12,%rax + addq %r12,%r8 + + leaq 24(%rbp),%rbp + addq %r14,%r8 + movq 96(%rsi),%r12 + movq %rax,%r13 + movq %r8,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rbx,%r15 + + xorq %rax,%r13 + rorq $5,%r14 + xorq %rcx,%r15 + + movq %r12,96(%rsp) + xorq %r8,%r14 + andq %rax,%r15 + + rorq $4,%r13 + addq %rdx,%r12 + xorq %rcx,%r15 + + rorq $6,%r14 + xorq %rax,%r13 + addq %r15,%r12 + + movq %r8,%r15 + addq (%rbp),%r12 + xorq %r8,%r14 + + xorq %r9,%r15 + rorq $14,%r13 + movq %r9,%rdx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rdx + addq %r12,%r11 + addq %r12,%rdx + + leaq 8(%rbp),%rbp + addq %r14,%rdx + movq 104(%rsi),%r12 + movq %r11,%r13 + movq %rdx,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rax,%rdi + + xorq %r11,%r13 + rorq $5,%r14 + xorq %rbx,%rdi + + movq %r12,104(%rsp) + xorq %rdx,%r14 + andq %r11,%rdi + + rorq $4,%r13 + addq %rcx,%r12 + xorq %rbx,%rdi + + rorq $6,%r14 + xorq %r11,%r13 + addq %rdi,%r12 + + movq %rdx,%rdi + addq (%rbp),%r12 + xorq %rdx,%r14 + + xorq %r8,%rdi + rorq $14,%r13 + movq %r8,%rcx + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rcx + addq %r12,%r10 + addq %r12,%rcx + + leaq 24(%rbp),%rbp + addq %r14,%rcx + movq 112(%rsi),%r12 + movq %r10,%r13 + movq %rcx,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r11,%r15 + + xorq %r10,%r13 + rorq $5,%r14 + xorq %rax,%r15 + + movq %r12,112(%rsp) + xorq %rcx,%r14 + andq %r10,%r15 + + rorq $4,%r13 + addq %rbx,%r12 + xorq %rax,%r15 + + rorq $6,%r14 + xorq %r10,%r13 + addq %r15,%r12 + + movq %rcx,%r15 + addq (%rbp),%r12 + xorq %rcx,%r14 + + xorq %rdx,%r15 + rorq $14,%r13 + movq %rdx,%rbx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rbx + addq %r12,%r9 + addq %r12,%rbx + + leaq 8(%rbp),%rbp + addq %r14,%rbx + movq 120(%rsi),%r12 + movq %r9,%r13 + movq %rbx,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r10,%rdi + + xorq %r9,%r13 + rorq $5,%r14 + xorq %r11,%rdi + + movq %r12,120(%rsp) + xorq %rbx,%r14 + andq %r9,%rdi + + rorq $4,%r13 + addq %rax,%r12 + xorq %r11,%rdi + + rorq $6,%r14 + xorq %r9,%r13 + addq %rdi,%r12 + + movq %rbx,%rdi + addq (%rbp),%r12 + xorq %rbx,%r14 + + xorq %rcx,%rdi + rorq $14,%r13 + movq %rcx,%rax + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rax + addq %r12,%r8 + addq %r12,%rax + + leaq 24(%rbp),%rbp + jmp L$rounds_16_xx +.p2align 4 +L$rounds_16_xx: + movq 8(%rsp),%r13 + movq 112(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rax + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 72(%rsp),%r12 + + addq 0(%rsp),%r12 + movq %r8,%r13 + addq %r15,%r12 + movq %rax,%r14 + rorq $23,%r13 + movq %r9,%r15 + + xorq %r8,%r13 + rorq $5,%r14 + xorq %r10,%r15 + + movq %r12,0(%rsp) + xorq %rax,%r14 + andq %r8,%r15 + + rorq $4,%r13 + addq %r11,%r12 + xorq %r10,%r15 + + rorq $6,%r14 + xorq %r8,%r13 + addq %r15,%r12 + + movq %rax,%r15 + addq (%rbp),%r12 + xorq %rax,%r14 + + xorq %rbx,%r15 + rorq $14,%r13 + movq %rbx,%r11 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r11 + addq %r12,%rdx + addq %r12,%r11 + + leaq 8(%rbp),%rbp + movq 16(%rsp),%r13 + movq 120(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r11 + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 80(%rsp),%r12 + + addq 8(%rsp),%r12 + movq %rdx,%r13 + addq %rdi,%r12 + movq %r11,%r14 + rorq $23,%r13 + movq %r8,%rdi + + xorq %rdx,%r13 + rorq $5,%r14 + xorq %r9,%rdi + + movq %r12,8(%rsp) + xorq %r11,%r14 + andq %rdx,%rdi + + rorq $4,%r13 + addq %r10,%r12 + xorq %r9,%rdi + + rorq $6,%r14 + xorq %rdx,%r13 + addq %rdi,%r12 + + movq %r11,%rdi + addq (%rbp),%r12 + xorq %r11,%r14 + + xorq %rax,%rdi + rorq $14,%r13 + movq %rax,%r10 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r10 + addq %r12,%rcx + addq %r12,%r10 + + leaq 24(%rbp),%rbp + movq 24(%rsp),%r13 + movq 0(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r10 + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 88(%rsp),%r12 + + addq 16(%rsp),%r12 + movq %rcx,%r13 + addq %r15,%r12 + movq %r10,%r14 + rorq $23,%r13 + movq %rdx,%r15 + + xorq %rcx,%r13 + rorq $5,%r14 + xorq %r8,%r15 + + movq %r12,16(%rsp) + xorq %r10,%r14 + andq %rcx,%r15 + + rorq $4,%r13 + addq %r9,%r12 + xorq %r8,%r15 + + rorq $6,%r14 + xorq %rcx,%r13 + addq %r15,%r12 + + movq %r10,%r15 + addq (%rbp),%r12 + xorq %r10,%r14 + + xorq %r11,%r15 + rorq $14,%r13 + movq %r11,%r9 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r9 + addq %r12,%rbx + addq %r12,%r9 + + leaq 8(%rbp),%rbp + movq 32(%rsp),%r13 + movq 8(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r9 + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 96(%rsp),%r12 + + addq 24(%rsp),%r12 + movq %rbx,%r13 + addq %rdi,%r12 + movq %r9,%r14 + rorq $23,%r13 + movq %rcx,%rdi + + xorq %rbx,%r13 + rorq $5,%r14 + xorq %rdx,%rdi + + movq %r12,24(%rsp) + xorq %r9,%r14 + andq %rbx,%rdi + + rorq $4,%r13 + addq %r8,%r12 + xorq %rdx,%rdi + + rorq $6,%r14 + xorq %rbx,%r13 + addq %rdi,%r12 + + movq %r9,%rdi + addq (%rbp),%r12 + xorq %r9,%r14 + + xorq %r10,%rdi + rorq $14,%r13 + movq %r10,%r8 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r8 + addq %r12,%rax + addq %r12,%r8 + + leaq 24(%rbp),%rbp + movq 40(%rsp),%r13 + movq 16(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r8 + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 104(%rsp),%r12 + + addq 32(%rsp),%r12 + movq %rax,%r13 + addq %r15,%r12 + movq %r8,%r14 + rorq $23,%r13 + movq %rbx,%r15 + + xorq %rax,%r13 + rorq $5,%r14 + xorq %rcx,%r15 + + movq %r12,32(%rsp) + xorq %r8,%r14 + andq %rax,%r15 + + rorq $4,%r13 + addq %rdx,%r12 + xorq %rcx,%r15 + + rorq $6,%r14 + xorq %rax,%r13 + addq %r15,%r12 + + movq %r8,%r15 + addq (%rbp),%r12 + xorq %r8,%r14 + + xorq %r9,%r15 + rorq $14,%r13 + movq %r9,%rdx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rdx + addq %r12,%r11 + addq %r12,%rdx + + leaq 8(%rbp),%rbp + movq 48(%rsp),%r13 + movq 24(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rdx + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 112(%rsp),%r12 + + addq 40(%rsp),%r12 + movq %r11,%r13 + addq %rdi,%r12 + movq %rdx,%r14 + rorq $23,%r13 + movq %rax,%rdi + + xorq %r11,%r13 + rorq $5,%r14 + xorq %rbx,%rdi + + movq %r12,40(%rsp) + xorq %rdx,%r14 + andq %r11,%rdi + + rorq $4,%r13 + addq %rcx,%r12 + xorq %rbx,%rdi + + rorq $6,%r14 + xorq %r11,%r13 + addq %rdi,%r12 + + movq %rdx,%rdi + addq (%rbp),%r12 + xorq %rdx,%r14 + + xorq %r8,%rdi + rorq $14,%r13 + movq %r8,%rcx + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rcx + addq %r12,%r10 + addq %r12,%rcx + + leaq 24(%rbp),%rbp + movq 56(%rsp),%r13 + movq 32(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rcx + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 120(%rsp),%r12 + + addq 48(%rsp),%r12 + movq %r10,%r13 + addq %r15,%r12 + movq %rcx,%r14 + rorq $23,%r13 + movq %r11,%r15 + + xorq %r10,%r13 + rorq $5,%r14 + xorq %rax,%r15 + + movq %r12,48(%rsp) + xorq %rcx,%r14 + andq %r10,%r15 + + rorq $4,%r13 + addq %rbx,%r12 + xorq %rax,%r15 + + rorq $6,%r14 + xorq %r10,%r13 + addq %r15,%r12 + + movq %rcx,%r15 + addq (%rbp),%r12 + xorq %rcx,%r14 + + xorq %rdx,%r15 + rorq $14,%r13 + movq %rdx,%rbx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rbx + addq %r12,%r9 + addq %r12,%rbx + + leaq 8(%rbp),%rbp + movq 64(%rsp),%r13 + movq 40(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rbx + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 0(%rsp),%r12 + + addq 56(%rsp),%r12 + movq %r9,%r13 + addq %rdi,%r12 + movq %rbx,%r14 + rorq $23,%r13 + movq %r10,%rdi + + xorq %r9,%r13 + rorq $5,%r14 + xorq %r11,%rdi + + movq %r12,56(%rsp) + xorq %rbx,%r14 + andq %r9,%rdi + + rorq $4,%r13 + addq %rax,%r12 + xorq %r11,%rdi + + rorq $6,%r14 + xorq %r9,%r13 + addq %rdi,%r12 + + movq %rbx,%rdi + addq (%rbp),%r12 + xorq %rbx,%r14 + + xorq %rcx,%rdi + rorq $14,%r13 + movq %rcx,%rax + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rax + addq %r12,%r8 + addq %r12,%rax + + leaq 24(%rbp),%rbp + movq 72(%rsp),%r13 + movq 48(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rax + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 8(%rsp),%r12 + + addq 64(%rsp),%r12 + movq %r8,%r13 + addq %r15,%r12 + movq %rax,%r14 + rorq $23,%r13 + movq %r9,%r15 + + xorq %r8,%r13 + rorq $5,%r14 + xorq %r10,%r15 + + movq %r12,64(%rsp) + xorq %rax,%r14 + andq %r8,%r15 + + rorq $4,%r13 + addq %r11,%r12 + xorq %r10,%r15 + + rorq $6,%r14 + xorq %r8,%r13 + addq %r15,%r12 + + movq %rax,%r15 + addq (%rbp),%r12 + xorq %rax,%r14 + + xorq %rbx,%r15 + rorq $14,%r13 + movq %rbx,%r11 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r11 + addq %r12,%rdx + addq %r12,%r11 + + leaq 8(%rbp),%rbp + movq 80(%rsp),%r13 + movq 56(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r11 + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 16(%rsp),%r12 + + addq 72(%rsp),%r12 + movq %rdx,%r13 + addq %rdi,%r12 + movq %r11,%r14 + rorq $23,%r13 + movq %r8,%rdi + + xorq %rdx,%r13 + rorq $5,%r14 + xorq %r9,%rdi + + movq %r12,72(%rsp) + xorq %r11,%r14 + andq %rdx,%rdi + + rorq $4,%r13 + addq %r10,%r12 + xorq %r9,%rdi + + rorq $6,%r14 + xorq %rdx,%r13 + addq %rdi,%r12 + + movq %r11,%rdi + addq (%rbp),%r12 + xorq %r11,%r14 + + xorq %rax,%rdi + rorq $14,%r13 + movq %rax,%r10 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r10 + addq %r12,%rcx + addq %r12,%r10 + + leaq 24(%rbp),%rbp + movq 88(%rsp),%r13 + movq 64(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r10 + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 24(%rsp),%r12 + + addq 80(%rsp),%r12 + movq %rcx,%r13 + addq %r15,%r12 + movq %r10,%r14 + rorq $23,%r13 + movq %rdx,%r15 + + xorq %rcx,%r13 + rorq $5,%r14 + xorq %r8,%r15 + + movq %r12,80(%rsp) + xorq %r10,%r14 + andq %rcx,%r15 + + rorq $4,%r13 + addq %r9,%r12 + xorq %r8,%r15 + + rorq $6,%r14 + xorq %rcx,%r13 + addq %r15,%r12 + + movq %r10,%r15 + addq (%rbp),%r12 + xorq %r10,%r14 + + xorq %r11,%r15 + rorq $14,%r13 + movq %r11,%r9 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r9 + addq %r12,%rbx + addq %r12,%r9 + + leaq 8(%rbp),%rbp + movq 96(%rsp),%r13 + movq 72(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r9 + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 32(%rsp),%r12 + + addq 88(%rsp),%r12 + movq %rbx,%r13 + addq %rdi,%r12 + movq %r9,%r14 + rorq $23,%r13 + movq %rcx,%rdi + + xorq %rbx,%r13 + rorq $5,%r14 + xorq %rdx,%rdi + + movq %r12,88(%rsp) + xorq %r9,%r14 + andq %rbx,%rdi + + rorq $4,%r13 + addq %r8,%r12 + xorq %rdx,%rdi + + rorq $6,%r14 + xorq %rbx,%r13 + addq %rdi,%r12 + + movq %r9,%rdi + addq (%rbp),%r12 + xorq %r9,%r14 + + xorq %r10,%rdi + rorq $14,%r13 + movq %r10,%r8 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r8 + addq %r12,%rax + addq %r12,%r8 + + leaq 24(%rbp),%rbp + movq 104(%rsp),%r13 + movq 80(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r8 + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 40(%rsp),%r12 + + addq 96(%rsp),%r12 + movq %rax,%r13 + addq %r15,%r12 + movq %r8,%r14 + rorq $23,%r13 + movq %rbx,%r15 + + xorq %rax,%r13 + rorq $5,%r14 + xorq %rcx,%r15 + + movq %r12,96(%rsp) + xorq %r8,%r14 + andq %rax,%r15 + + rorq $4,%r13 + addq %rdx,%r12 + xorq %rcx,%r15 + + rorq $6,%r14 + xorq %rax,%r13 + addq %r15,%r12 + + movq %r8,%r15 + addq (%rbp),%r12 + xorq %r8,%r14 + + xorq %r9,%r15 + rorq $14,%r13 + movq %r9,%rdx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rdx + addq %r12,%r11 + addq %r12,%rdx + + leaq 8(%rbp),%rbp + movq 112(%rsp),%r13 + movq 88(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rdx + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 48(%rsp),%r12 + + addq 104(%rsp),%r12 + movq %r11,%r13 + addq %rdi,%r12 + movq %rdx,%r14 + rorq $23,%r13 + movq %rax,%rdi + + xorq %r11,%r13 + rorq $5,%r14 + xorq %rbx,%rdi + + movq %r12,104(%rsp) + xorq %rdx,%r14 + andq %r11,%rdi + + rorq $4,%r13 + addq %rcx,%r12 + xorq %rbx,%rdi + + rorq $6,%r14 + xorq %r11,%r13 + addq %rdi,%r12 + + movq %rdx,%rdi + addq (%rbp),%r12 + xorq %rdx,%r14 + + xorq %r8,%rdi + rorq $14,%r13 + movq %r8,%rcx + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rcx + addq %r12,%r10 + addq %r12,%rcx + + leaq 24(%rbp),%rbp + movq 120(%rsp),%r13 + movq 96(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rcx + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 56(%rsp),%r12 + + addq 112(%rsp),%r12 + movq %r10,%r13 + addq %r15,%r12 + movq %rcx,%r14 + rorq $23,%r13 + movq %r11,%r15 + + xorq %r10,%r13 + rorq $5,%r14 + xorq %rax,%r15 + + movq %r12,112(%rsp) + xorq %rcx,%r14 + andq %r10,%r15 + + rorq $4,%r13 + addq %rbx,%r12 + xorq %rax,%r15 + + rorq $6,%r14 + xorq %r10,%r13 + addq %r15,%r12 + + movq %rcx,%r15 + addq (%rbp),%r12 + xorq %rcx,%r14 + + xorq %rdx,%r15 + rorq $14,%r13 + movq %rdx,%rbx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rbx + addq %r12,%r9 + addq %r12,%rbx + + leaq 8(%rbp),%rbp + movq 0(%rsp),%r13 + movq 104(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rbx + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 64(%rsp),%r12 + + addq 120(%rsp),%r12 + movq %r9,%r13 + addq %rdi,%r12 + movq %rbx,%r14 + rorq $23,%r13 + movq %r10,%rdi + + xorq %r9,%r13 + rorq $5,%r14 + xorq %r11,%rdi + + movq %r12,120(%rsp) + xorq %rbx,%r14 + andq %r9,%rdi + + rorq $4,%r13 + addq %rax,%r12 + xorq %r11,%rdi + + rorq $6,%r14 + xorq %r9,%r13 + addq %rdi,%r12 + + movq %rbx,%rdi + addq (%rbp),%r12 + xorq %rbx,%r14 + + xorq %rcx,%rdi + rorq $14,%r13 + movq %rcx,%rax + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rax + addq %r12,%r8 + addq %r12,%rax + + leaq 24(%rbp),%rbp + cmpb $0,7(%rbp) + jnz L$rounds_16_xx + + movq 128+0(%rsp),%rdi + addq %r14,%rax + leaq 128(%rsi),%rsi + + addq 0(%rdi),%rax + addq 8(%rdi),%rbx + addq 16(%rdi),%rcx + addq 24(%rdi),%rdx + addq 32(%rdi),%r8 + addq 40(%rdi),%r9 + addq 48(%rdi),%r10 + addq 56(%rdi),%r11 + + cmpq 128+16(%rsp),%rsi + + movq %rax,0(%rdi) + movq %rbx,8(%rdi) + movq %rcx,16(%rdi) + movq %rdx,24(%rdi) + movq %r8,32(%rdi) + movq %r9,40(%rdi) + movq %r10,48(%rdi) + movq %r11,56(%rdi) + jb L$loop + + leaq 128+24+48(%rsp),%r11 +.cfi_def_cfa %r11,8 + movq 128+24(%rsp),%r15 + movq -40(%r11),%r14 + movq -32(%r11),%r13 + movq -24(%r11),%r12 + movq -16(%r11),%rbx + movq -8(%r11),%rbp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbp +.cfi_restore %rbx + leaq (%r11),%rsp + .byte 0xf3,0xc3 +.cfi_endproc + +.p2align 6 + +K512: +.quad 0x428a2f98d728ae22,0x7137449123ef65cd +.quad 0x428a2f98d728ae22,0x7137449123ef65cd +.quad 0xb5c0fbcfec4d3b2f,0xe9b5dba58189dbbc +.quad 0xb5c0fbcfec4d3b2f,0xe9b5dba58189dbbc +.quad 0x3956c25bf348b538,0x59f111f1b605d019 +.quad 0x3956c25bf348b538,0x59f111f1b605d019 +.quad 0x923f82a4af194f9b,0xab1c5ed5da6d8118 +.quad 0x923f82a4af194f9b,0xab1c5ed5da6d8118 +.quad 0xd807aa98a3030242,0x12835b0145706fbe +.quad 0xd807aa98a3030242,0x12835b0145706fbe +.quad 0x243185be4ee4b28c,0x550c7dc3d5ffb4e2 +.quad 0x243185be4ee4b28c,0x550c7dc3d5ffb4e2 +.quad 0x72be5d74f27b896f,0x80deb1fe3b1696b1 +.quad 0x72be5d74f27b896f,0x80deb1fe3b1696b1 +.quad 0x9bdc06a725c71235,0xc19bf174cf692694 +.quad 0x9bdc06a725c71235,0xc19bf174cf692694 +.quad 0xe49b69c19ef14ad2,0xefbe4786384f25e3 +.quad 0xe49b69c19ef14ad2,0xefbe4786384f25e3 +.quad 0x0fc19dc68b8cd5b5,0x240ca1cc77ac9c65 +.quad 0x0fc19dc68b8cd5b5,0x240ca1cc77ac9c65 +.quad 0x2de92c6f592b0275,0x4a7484aa6ea6e483 +.quad 0x2de92c6f592b0275,0x4a7484aa6ea6e483 +.quad 0x5cb0a9dcbd41fbd4,0x76f988da831153b5 +.quad 0x5cb0a9dcbd41fbd4,0x76f988da831153b5 +.quad 0x983e5152ee66dfab,0xa831c66d2db43210 +.quad 0x983e5152ee66dfab,0xa831c66d2db43210 +.quad 0xb00327c898fb213f,0xbf597fc7beef0ee4 +.quad 0xb00327c898fb213f,0xbf597fc7beef0ee4 +.quad 0xc6e00bf33da88fc2,0xd5a79147930aa725 +.quad 0xc6e00bf33da88fc2,0xd5a79147930aa725 +.quad 0x06ca6351e003826f,0x142929670a0e6e70 +.quad 0x06ca6351e003826f,0x142929670a0e6e70 +.quad 0x27b70a8546d22ffc,0x2e1b21385c26c926 +.quad 0x27b70a8546d22ffc,0x2e1b21385c26c926 +.quad 0x4d2c6dfc5ac42aed,0x53380d139d95b3df +.quad 0x4d2c6dfc5ac42aed,0x53380d139d95b3df +.quad 0x650a73548baf63de,0x766a0abb3c77b2a8 +.quad 0x650a73548baf63de,0x766a0abb3c77b2a8 +.quad 0x81c2c92e47edaee6,0x92722c851482353b +.quad 0x81c2c92e47edaee6,0x92722c851482353b +.quad 0xa2bfe8a14cf10364,0xa81a664bbc423001 +.quad 0xa2bfe8a14cf10364,0xa81a664bbc423001 +.quad 0xc24b8b70d0f89791,0xc76c51a30654be30 +.quad 0xc24b8b70d0f89791,0xc76c51a30654be30 +.quad 0xd192e819d6ef5218,0xd69906245565a910 +.quad 0xd192e819d6ef5218,0xd69906245565a910 +.quad 0xf40e35855771202a,0x106aa07032bbd1b8 +.quad 0xf40e35855771202a,0x106aa07032bbd1b8 +.quad 0x19a4c116b8d2d0c8,0x1e376c085141ab53 +.quad 0x19a4c116b8d2d0c8,0x1e376c085141ab53 +.quad 0x2748774cdf8eeb99,0x34b0bcb5e19b48a8 +.quad 0x2748774cdf8eeb99,0x34b0bcb5e19b48a8 +.quad 0x391c0cb3c5c95a63,0x4ed8aa4ae3418acb +.quad 0x391c0cb3c5c95a63,0x4ed8aa4ae3418acb +.quad 0x5b9cca4f7763e373,0x682e6ff3d6b2b8a3 +.quad 0x5b9cca4f7763e373,0x682e6ff3d6b2b8a3 +.quad 0x748f82ee5defb2fc,0x78a5636f43172f60 +.quad 0x748f82ee5defb2fc,0x78a5636f43172f60 +.quad 0x84c87814a1f0ab72,0x8cc702081a6439ec +.quad 0x84c87814a1f0ab72,0x8cc702081a6439ec +.quad 0x90befffa23631e28,0xa4506cebde82bde9 +.quad 0x90befffa23631e28,0xa4506cebde82bde9 +.quad 0xbef9a3f7b2c67915,0xc67178f2e372532b +.quad 0xbef9a3f7b2c67915,0xc67178f2e372532b +.quad 0xca273eceea26619c,0xd186b8c721c0c207 +.quad 0xca273eceea26619c,0xd186b8c721c0c207 +.quad 0xeada7dd6cde0eb1e,0xf57d4f7fee6ed178 +.quad 0xeada7dd6cde0eb1e,0xf57d4f7fee6ed178 +.quad 0x06f067aa72176fba,0x0a637dc5a2c898a6 +.quad 0x06f067aa72176fba,0x0a637dc5a2c898a6 +.quad 0x113f9804bef90dae,0x1b710b35131c471b +.quad 0x113f9804bef90dae,0x1b710b35131c471b +.quad 0x28db77f523047d84,0x32caab7b40c72493 +.quad 0x28db77f523047d84,0x32caab7b40c72493 +.quad 0x3c9ebe0a15c9bebc,0x431d67c49c100d4c +.quad 0x3c9ebe0a15c9bebc,0x431d67c49c100d4c +.quad 0x4cc5d4becb3e42b6,0x597f299cfc657e2a +.quad 0x4cc5d4becb3e42b6,0x597f299cfc657e2a +.quad 0x5fcb6fab3ad6faec,0x6c44198c4a475817 +.quad 0x5fcb6fab3ad6faec,0x6c44198c4a475817 + +.quad 0x0001020304050607,0x08090a0b0c0d0e0f +.quad 0x0001020304050607,0x08090a0b0c0d0e0f + +K512_nodup: +.quad 0x428a2f98d728ae22,0x7137449123ef65cd +.quad 0xb5c0fbcfec4d3b2f,0xe9b5dba58189dbbc +.quad 0x3956c25bf348b538,0x59f111f1b605d019 +.quad 0x923f82a4af194f9b,0xab1c5ed5da6d8118 +.quad 0xd807aa98a3030242,0x12835b0145706fbe +.quad 0x243185be4ee4b28c,0x550c7dc3d5ffb4e2 +.quad 0x72be5d74f27b896f,0x80deb1fe3b1696b1 +.quad 0x9bdc06a725c71235,0xc19bf174cf692694 +.quad 0xe49b69c19ef14ad2,0xefbe4786384f25e3 +.quad 0x0fc19dc68b8cd5b5,0x240ca1cc77ac9c65 +.quad 0x2de92c6f592b0275,0x4a7484aa6ea6e483 +.quad 0x5cb0a9dcbd41fbd4,0x76f988da831153b5 +.quad 0x983e5152ee66dfab,0xa831c66d2db43210 +.quad 0xb00327c898fb213f,0xbf597fc7beef0ee4 +.quad 0xc6e00bf33da88fc2,0xd5a79147930aa725 +.quad 0x06ca6351e003826f,0x142929670a0e6e70 +.quad 0x27b70a8546d22ffc,0x2e1b21385c26c926 +.quad 0x4d2c6dfc5ac42aed,0x53380d139d95b3df +.quad 0x650a73548baf63de,0x766a0abb3c77b2a8 +.quad 0x81c2c92e47edaee6,0x92722c851482353b +.quad 0xa2bfe8a14cf10364,0xa81a664bbc423001 +.quad 0xc24b8b70d0f89791,0xc76c51a30654be30 +.quad 0xd192e819d6ef5218,0xd69906245565a910 +.quad 0xf40e35855771202a,0x106aa07032bbd1b8 +.quad 0x19a4c116b8d2d0c8,0x1e376c085141ab53 +.quad 0x2748774cdf8eeb99,0x34b0bcb5e19b48a8 +.quad 0x391c0cb3c5c95a63,0x4ed8aa4ae3418acb +.quad 0x5b9cca4f7763e373,0x682e6ff3d6b2b8a3 +.quad 0x748f82ee5defb2fc,0x78a5636f43172f60 +.quad 0x84c87814a1f0ab72,0x8cc702081a6439ec +.quad 0x90befffa23631e28,0xa4506cebde82bde9 +.quad 0xbef9a3f7b2c67915,0xc67178f2e372532b +.quad 0xca273eceea26619c,0xd186b8c721c0c207 +.quad 0xeada7dd6cde0eb1e,0xf57d4f7fee6ed178 +.quad 0x06f067aa72176fba,0x0a637dc5a2c898a6 +.quad 0x113f9804bef90dae,0x1b710b35131c471b +.quad 0x28db77f523047d84,0x32caab7b40c72493 +.quad 0x3c9ebe0a15c9bebc,0x431d67c49c100d4c +.quad 0x4cc5d4becb3e42b6,0x597f299cfc657e2a +.quad 0x5fcb6fab3ad6faec,0x6c44198c4a475817 + +.byte 83,72,65,53,49,50,32,98,108,111,99,107,32,116,114,97,110,115,102,111,114,109,32,102,111,114,32,120,56,54,95,54,52,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.globl _crypton_sha512_asm_block_data_order_shaext + +.p2align 6 +_crypton_sha512_asm_block_data_order_shaext: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp +L$shaext_shortcut: + + leaq K512_nodup+128(%rip),%rcx + vmovdqu (%rdi),%ymm0 + vmovdqu 32(%rdi),%ymm1 + vmovdqa -160(%rcx),%ymm8 + + vpermq $27,%ymm0,%ymm0 + vpblendd $15,%ymm1,%ymm0,%ymm5 + vpblendd $15,%ymm0,%ymm1,%ymm6 + vpermq $225,%ymm5,%ymm5 + vpermq $75,%ymm6,%ymm6 + jmp L$oop_shaext + +.p2align 4 +L$oop_shaext: + vmovdqu (%rsi),%ymm0 + vmovdqu 32(%rsi),%ymm1 + vmovdqu 64(%rsi),%ymm2 + vpshufb %ymm8,%ymm0,%ymm0 + vmovdqu 96(%rsi),%ymm3 + + vpaddq 0-128(%rcx),%ymm0,%ymm4 + vpshufb %ymm8,%ymm1,%ymm1 + vmovdqa %ymm6,%ymm10 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vmovdqa %ymm5,%ymm9 +.byte 196,226,79,203,236 + + vpaddq 32-128(%rcx),%ymm1,%ymm4 + vpshufb %ymm8,%ymm2,%ymm2 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + leaq 128(%rsi),%rsi +.byte 196,226,127,204,193 +.byte 196,226,79,203,236 + + vpaddq 64-128(%rcx),%ymm2,%ymm4 + vpshufb %ymm8,%ymm3,%ymm3 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm3,%ymm2,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm0,%ymm0 +.byte 196,226,127,204,202 +.byte 196,226,79,203,236 + + vpaddq 96-128(%rcx),%ymm3,%ymm4 +.byte 196,226,127,205,195 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm0,%ymm3,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm1,%ymm1 +.byte 196,226,127,204,211 +.byte 196,226,79,203,236 + vpaddq 128-128(%rcx),%ymm0,%ymm4 +.byte 196,226,127,205,200 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm1,%ymm0,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm2,%ymm2 +.byte 196,226,127,204,216 +.byte 196,226,79,203,236 + vpaddq 160-128(%rcx),%ymm1,%ymm4 +.byte 196,226,127,205,209 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm2,%ymm1,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm3,%ymm3 +.byte 196,226,127,204,193 +.byte 196,226,79,203,236 + vpaddq 192-128(%rcx),%ymm2,%ymm4 +.byte 196,226,127,205,218 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm3,%ymm2,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm0,%ymm0 +.byte 196,226,127,204,202 +.byte 196,226,79,203,236 + vpaddq 224-128(%rcx),%ymm3,%ymm4 +.byte 196,226,127,205,195 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm0,%ymm3,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm1,%ymm1 +.byte 196,226,127,204,211 +.byte 196,226,79,203,236 + vpaddq 256-128(%rcx),%ymm0,%ymm4 +.byte 196,226,127,205,200 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm1,%ymm0,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm2,%ymm2 +.byte 196,226,127,204,216 +.byte 196,226,79,203,236 + vpaddq 288-128(%rcx),%ymm1,%ymm4 +.byte 196,226,127,205,209 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm2,%ymm1,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm3,%ymm3 +.byte 196,226,127,204,193 +.byte 196,226,79,203,236 + vpaddq 320-128(%rcx),%ymm2,%ymm4 +.byte 196,226,127,205,218 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm3,%ymm2,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm0,%ymm0 +.byte 196,226,127,204,202 +.byte 196,226,79,203,236 + vpaddq 352-128(%rcx),%ymm3,%ymm4 +.byte 196,226,127,205,195 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm0,%ymm3,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm1,%ymm1 +.byte 196,226,127,204,211 +.byte 196,226,79,203,236 + vpaddq 384-128(%rcx),%ymm0,%ymm4 +.byte 196,226,127,205,200 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm1,%ymm0,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm2,%ymm2 +.byte 196,226,127,204,216 +.byte 196,226,79,203,236 + vpaddq 416-128(%rcx),%ymm1,%ymm4 +.byte 196,226,127,205,209 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm2,%ymm1,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm3,%ymm3 +.byte 196,226,127,204,193 +.byte 196,226,79,203,236 + vpaddq 448-128(%rcx),%ymm2,%ymm4 +.byte 196,226,127,205,218 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm3,%ymm2,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm0,%ymm0 +.byte 196,226,127,204,202 +.byte 196,226,79,203,236 + vpaddq 480-128(%rcx),%ymm3,%ymm4 +.byte 196,226,127,205,195 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm0,%ymm3,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm1,%ymm1 +.byte 196,226,127,204,211 +.byte 196,226,79,203,236 + vpaddq 512-128(%rcx),%ymm0,%ymm4 +.byte 196,226,127,205,200 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm1,%ymm0,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm2,%ymm2 +.byte 196,226,127,204,216 +.byte 196,226,79,203,236 + vpaddq 544-128(%rcx),%ymm1,%ymm4 +.byte 196,226,127,205,209 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm2,%ymm1,%ymm7 + vpermq $0x39,%ymm7,%ymm7 +.byte 196,226,79,203,236 + vpaddq %ymm7,%ymm3,%ymm3 + + vpaddq 576-128(%rcx),%ymm2,%ymm4 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 +.byte 196,226,127,205,218 +.byte 196,226,79,203,236 + + vpaddq 608-128(%rcx),%ymm3,%ymm4 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + decq %rdx +.byte 196,226,79,203,236 + + vpaddq %ymm10,%ymm6,%ymm6 + vpaddq %ymm9,%ymm5,%ymm5 + jnz L$oop_shaext + + vpermq $75,%ymm5,%ymm5 + vpblendd $240,%ymm6,%ymm5,%ymm1 + vpblendd $240,%ymm5,%ymm6,%ymm2 + vpermq $180,%ymm1,%ymm1 + vpermq $27,%ymm2,%ymm2 + + vmovdqu %ymm1,(%rdi) + vmovdqu %ymm2,32(%rdi) + + vzeroupper +.cfi_def_cfa_register %rsp + popq %rbp +.cfi_adjust_cfa_offset -8 +.cfi_restore %rbp + + .byte 0xf3,0xc3 +.cfi_endproc + + +.p2align 6 +crypton_sha512_asm_block_data_order_xop: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp +L$xop_shortcut: + pushq %rbx +.cfi_offset %rbx,-24 + pushq %r12 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_offset %r15,-56 + shlq $4,%rdx + subq $24,%rsp + + leaq (%rsi,%rdx,8),%rdx + movq %rdi,-64(%rbp) + + movq %rdx,-48(%rbp) + + + leaq -128(%rsp),%rsp + vzeroupper + andq $-64,%rsp + movq 0(%rdi),%rax + movq 8(%rdi),%rbx + movq 16(%rdi),%rcx + movq 24(%rdi),%rdx + movq 32(%rdi),%r8 + movq 40(%rdi),%r9 + movq 48(%rdi),%r10 + movq 56(%rdi),%r11 + jmp L$loop_xop +.p2align 4 +L$loop_xop: + vmovdqa K512+1280(%rip),%xmm11 + movq %rsi,-56(%rbp) + vmovdqu 0(%rsi),%xmm0 + vmovdqu 16(%rsi),%xmm1 + vmovdqu 32(%rsi),%xmm2 + vpshufb %xmm11,%xmm0,%xmm0 + vmovdqu 48(%rsi),%xmm3 + vpshufb %xmm11,%xmm1,%xmm1 + vmovdqu 64(%rsi),%xmm4 + vpshufb %xmm11,%xmm2,%xmm2 + vmovdqu 80(%rsi),%xmm5 + vpshufb %xmm11,%xmm3,%xmm3 + vmovdqu 96(%rsi),%xmm6 + vpshufb %xmm11,%xmm4,%xmm4 + vmovdqu 112(%rsi),%xmm7 + leaq K512+128(%rip),%rsi + vpshufb %xmm11,%xmm5,%xmm5 + vpaddq -128(%rsi),%xmm0,%xmm8 + vpshufb %xmm11,%xmm6,%xmm6 + vpaddq -96(%rsi),%xmm1,%xmm9 + vpshufb %xmm11,%xmm7,%xmm7 + vpaddq -64(%rsi),%xmm2,%xmm10 + vpaddq -32(%rsi),%xmm3,%xmm11 + vmovdqa %xmm8,0(%rsp) + vpaddq 0(%rsi),%xmm4,%xmm8 + vmovdqa %xmm9,16(%rsp) + vpaddq 32(%rsi),%xmm5,%xmm9 + vmovdqa %xmm10,32(%rsp) + vpaddq 64(%rsi),%xmm6,%xmm10 + vmovdqa %xmm11,48(%rsp) + vpaddq 96(%rsi),%xmm7,%xmm11 + vmovdqa %xmm8,64(%rsp) + movq %rax,%r14 + vmovdqa %xmm9,80(%rsp) + movq %rbx,%rdi + vmovdqa %xmm10,96(%rsp) + xorq %rcx,%rdi + vmovdqa %xmm11,112(%rsp) + movq %r8,%r13 + jmp L$xop_00_47 + +.p2align 4 +L$xop_00_47: + addq $256,%rsi + vpalignr $8,%xmm0,%xmm1,%xmm8 + rorq $23,%r13 + movq %r14,%rax + vpalignr $8,%xmm4,%xmm5,%xmm11 + movq %r9,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %r8,%r13 + xorq %r10,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %rax,%r14 + vpaddq %xmm11,%xmm0,%xmm0 + andq %r8,%r12 + xorq %r8,%r13 + addq 0(%rsp),%r11 + movq %rax,%r15 +.byte 143,72,120,195,209,7 + xorq %r10,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %rbx,%r15 + addq %r12,%r11 + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,223,3 + xorq %rax,%r14 + addq %r13,%r11 + vpxor %xmm10,%xmm8,%xmm8 + xorq %rbx,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm7,%xmm10 + addq %r11,%rdx + addq %rdi,%r11 + vpaddq %xmm8,%xmm0,%xmm0 + movq %rdx,%r13 + addq %r11,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%r11 + vpxor %xmm10,%xmm11,%xmm11 + movq %r8,%r12 + rorq $5,%r14 + xorq %rdx,%r13 + xorq %r9,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %r11,%r14 + andq %rdx,%r12 + xorq %rdx,%r13 + vpaddq %xmm11,%xmm0,%xmm0 + addq 8(%rsp),%r10 + movq %r11,%rdi + xorq %r9,%r12 + rorq $6,%r14 + vpaddq -128(%rsi),%xmm0,%xmm10 + xorq %rax,%rdi + addq %r12,%r10 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r11,%r14 + addq %r13,%r10 + xorq %rax,%r15 + rorq $28,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + vmovdqa %xmm10,0(%rsp) + vpalignr $8,%xmm1,%xmm2,%xmm8 + rorq $23,%r13 + movq %r14,%r10 + vpalignr $8,%xmm5,%xmm6,%xmm11 + movq %rdx,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %rcx,%r13 + xorq %r8,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %r10,%r14 + vpaddq %xmm11,%xmm1,%xmm1 + andq %rcx,%r12 + xorq %rcx,%r13 + addq 16(%rsp),%r9 + movq %r10,%r15 +.byte 143,72,120,195,209,7 + xorq %r8,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %r11,%r15 + addq %r12,%r9 + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,216,3 + xorq %r10,%r14 + addq %r13,%r9 + vpxor %xmm10,%xmm8,%xmm8 + xorq %r11,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm0,%xmm10 + addq %r9,%rbx + addq %rdi,%r9 + vpaddq %xmm8,%xmm1,%xmm1 + movq %rbx,%r13 + addq %r9,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%r9 + vpxor %xmm10,%xmm11,%xmm11 + movq %rcx,%r12 + rorq $5,%r14 + xorq %rbx,%r13 + xorq %rdx,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %r9,%r14 + andq %rbx,%r12 + xorq %rbx,%r13 + vpaddq %xmm11,%xmm1,%xmm1 + addq 24(%rsp),%r8 + movq %r9,%rdi + xorq %rdx,%r12 + rorq $6,%r14 + vpaddq -96(%rsi),%xmm1,%xmm10 + xorq %r10,%rdi + addq %r12,%r8 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r9,%r14 + addq %r13,%r8 + xorq %r10,%r15 + rorq $28,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + vmovdqa %xmm10,16(%rsp) + vpalignr $8,%xmm2,%xmm3,%xmm8 + rorq $23,%r13 + movq %r14,%r8 + vpalignr $8,%xmm6,%xmm7,%xmm11 + movq %rbx,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %rax,%r13 + xorq %rcx,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %r8,%r14 + vpaddq %xmm11,%xmm2,%xmm2 + andq %rax,%r12 + xorq %rax,%r13 + addq 32(%rsp),%rdx + movq %r8,%r15 +.byte 143,72,120,195,209,7 + xorq %rcx,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %r9,%r15 + addq %r12,%rdx + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,217,3 + xorq %r8,%r14 + addq %r13,%rdx + vpxor %xmm10,%xmm8,%xmm8 + xorq %r9,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm1,%xmm10 + addq %rdx,%r11 + addq %rdi,%rdx + vpaddq %xmm8,%xmm2,%xmm2 + movq %r11,%r13 + addq %rdx,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%rdx + vpxor %xmm10,%xmm11,%xmm11 + movq %rax,%r12 + rorq $5,%r14 + xorq %r11,%r13 + xorq %rbx,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %rdx,%r14 + andq %r11,%r12 + xorq %r11,%r13 + vpaddq %xmm11,%xmm2,%xmm2 + addq 40(%rsp),%rcx + movq %rdx,%rdi + xorq %rbx,%r12 + rorq $6,%r14 + vpaddq -64(%rsi),%xmm2,%xmm10 + xorq %r8,%rdi + addq %r12,%rcx + rorq $14,%r13 + andq %rdi,%r15 + xorq %rdx,%r14 + addq %r13,%rcx + xorq %r8,%r15 + rorq $28,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + vmovdqa %xmm10,32(%rsp) + vpalignr $8,%xmm3,%xmm4,%xmm8 + rorq $23,%r13 + movq %r14,%rcx + vpalignr $8,%xmm7,%xmm0,%xmm11 + movq %r11,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %r10,%r13 + xorq %rax,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %rcx,%r14 + vpaddq %xmm11,%xmm3,%xmm3 + andq %r10,%r12 + xorq %r10,%r13 + addq 48(%rsp),%rbx + movq %rcx,%r15 +.byte 143,72,120,195,209,7 + xorq %rax,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %rdx,%r15 + addq %r12,%rbx + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,218,3 + xorq %rcx,%r14 + addq %r13,%rbx + vpxor %xmm10,%xmm8,%xmm8 + xorq %rdx,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm2,%xmm10 + addq %rbx,%r9 + addq %rdi,%rbx + vpaddq %xmm8,%xmm3,%xmm3 + movq %r9,%r13 + addq %rbx,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%rbx + vpxor %xmm10,%xmm11,%xmm11 + movq %r10,%r12 + rorq $5,%r14 + xorq %r9,%r13 + xorq %r11,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %rbx,%r14 + andq %r9,%r12 + xorq %r9,%r13 + vpaddq %xmm11,%xmm3,%xmm3 + addq 56(%rsp),%rax + movq %rbx,%rdi + xorq %r11,%r12 + rorq $6,%r14 + vpaddq -32(%rsi),%xmm3,%xmm10 + xorq %rcx,%rdi + addq %r12,%rax + rorq $14,%r13 + andq %rdi,%r15 + xorq %rbx,%r14 + addq %r13,%rax + xorq %rcx,%r15 + rorq $28,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + vmovdqa %xmm10,48(%rsp) + vpalignr $8,%xmm4,%xmm5,%xmm8 + rorq $23,%r13 + movq %r14,%rax + vpalignr $8,%xmm0,%xmm1,%xmm11 + movq %r9,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %r8,%r13 + xorq %r10,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %rax,%r14 + vpaddq %xmm11,%xmm4,%xmm4 + andq %r8,%r12 + xorq %r8,%r13 + addq 64(%rsp),%r11 + movq %rax,%r15 +.byte 143,72,120,195,209,7 + xorq %r10,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %rbx,%r15 + addq %r12,%r11 + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,219,3 + xorq %rax,%r14 + addq %r13,%r11 + vpxor %xmm10,%xmm8,%xmm8 + xorq %rbx,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm3,%xmm10 + addq %r11,%rdx + addq %rdi,%r11 + vpaddq %xmm8,%xmm4,%xmm4 + movq %rdx,%r13 + addq %r11,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%r11 + vpxor %xmm10,%xmm11,%xmm11 + movq %r8,%r12 + rorq $5,%r14 + xorq %rdx,%r13 + xorq %r9,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %r11,%r14 + andq %rdx,%r12 + xorq %rdx,%r13 + vpaddq %xmm11,%xmm4,%xmm4 + addq 72(%rsp),%r10 + movq %r11,%rdi + xorq %r9,%r12 + rorq $6,%r14 + vpaddq 0(%rsi),%xmm4,%xmm10 + xorq %rax,%rdi + addq %r12,%r10 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r11,%r14 + addq %r13,%r10 + xorq %rax,%r15 + rorq $28,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + vmovdqa %xmm10,64(%rsp) + vpalignr $8,%xmm5,%xmm6,%xmm8 + rorq $23,%r13 + movq %r14,%r10 + vpalignr $8,%xmm1,%xmm2,%xmm11 + movq %rdx,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %rcx,%r13 + xorq %r8,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %r10,%r14 + vpaddq %xmm11,%xmm5,%xmm5 + andq %rcx,%r12 + xorq %rcx,%r13 + addq 80(%rsp),%r9 + movq %r10,%r15 +.byte 143,72,120,195,209,7 + xorq %r8,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %r11,%r15 + addq %r12,%r9 + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,220,3 + xorq %r10,%r14 + addq %r13,%r9 + vpxor %xmm10,%xmm8,%xmm8 + xorq %r11,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm4,%xmm10 + addq %r9,%rbx + addq %rdi,%r9 + vpaddq %xmm8,%xmm5,%xmm5 + movq %rbx,%r13 + addq %r9,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%r9 + vpxor %xmm10,%xmm11,%xmm11 + movq %rcx,%r12 + rorq $5,%r14 + xorq %rbx,%r13 + xorq %rdx,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %r9,%r14 + andq %rbx,%r12 + xorq %rbx,%r13 + vpaddq %xmm11,%xmm5,%xmm5 + addq 88(%rsp),%r8 + movq %r9,%rdi + xorq %rdx,%r12 + rorq $6,%r14 + vpaddq 32(%rsi),%xmm5,%xmm10 + xorq %r10,%rdi + addq %r12,%r8 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r9,%r14 + addq %r13,%r8 + xorq %r10,%r15 + rorq $28,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + vmovdqa %xmm10,80(%rsp) + vpalignr $8,%xmm6,%xmm7,%xmm8 + rorq $23,%r13 + movq %r14,%r8 + vpalignr $8,%xmm2,%xmm3,%xmm11 + movq %rbx,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %rax,%r13 + xorq %rcx,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %r8,%r14 + vpaddq %xmm11,%xmm6,%xmm6 + andq %rax,%r12 + xorq %rax,%r13 + addq 96(%rsp),%rdx + movq %r8,%r15 +.byte 143,72,120,195,209,7 + xorq %rcx,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %r9,%r15 + addq %r12,%rdx + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,221,3 + xorq %r8,%r14 + addq %r13,%rdx + vpxor %xmm10,%xmm8,%xmm8 + xorq %r9,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm5,%xmm10 + addq %rdx,%r11 + addq %rdi,%rdx + vpaddq %xmm8,%xmm6,%xmm6 + movq %r11,%r13 + addq %rdx,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%rdx + vpxor %xmm10,%xmm11,%xmm11 + movq %rax,%r12 + rorq $5,%r14 + xorq %r11,%r13 + xorq %rbx,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %rdx,%r14 + andq %r11,%r12 + xorq %r11,%r13 + vpaddq %xmm11,%xmm6,%xmm6 + addq 104(%rsp),%rcx + movq %rdx,%rdi + xorq %rbx,%r12 + rorq $6,%r14 + vpaddq 64(%rsi),%xmm6,%xmm10 + xorq %r8,%rdi + addq %r12,%rcx + rorq $14,%r13 + andq %rdi,%r15 + xorq %rdx,%r14 + addq %r13,%rcx + xorq %r8,%r15 + rorq $28,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + vmovdqa %xmm10,96(%rsp) + vpalignr $8,%xmm7,%xmm0,%xmm8 + rorq $23,%r13 + movq %r14,%rcx + vpalignr $8,%xmm3,%xmm4,%xmm11 + movq %r11,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %r10,%r13 + xorq %rax,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %rcx,%r14 + vpaddq %xmm11,%xmm7,%xmm7 + andq %r10,%r12 + xorq %r10,%r13 + addq 112(%rsp),%rbx + movq %rcx,%r15 +.byte 143,72,120,195,209,7 + xorq %rax,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %rdx,%r15 + addq %r12,%rbx + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,222,3 + xorq %rcx,%r14 + addq %r13,%rbx + vpxor %xmm10,%xmm8,%xmm8 + xorq %rdx,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm6,%xmm10 + addq %rbx,%r9 + addq %rdi,%rbx + vpaddq %xmm8,%xmm7,%xmm7 + movq %r9,%r13 + addq %rbx,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%rbx + vpxor %xmm10,%xmm11,%xmm11 + movq %r10,%r12 + rorq $5,%r14 + xorq %r9,%r13 + xorq %r11,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %rbx,%r14 + andq %r9,%r12 + xorq %r9,%r13 + vpaddq %xmm11,%xmm7,%xmm7 + addq 120(%rsp),%rax + movq %rbx,%rdi + xorq %r11,%r12 + rorq $6,%r14 + vpaddq 96(%rsi),%xmm7,%xmm10 + xorq %rcx,%rdi + addq %r12,%rax + rorq $14,%r13 + andq %rdi,%r15 + xorq %rbx,%r14 + addq %r13,%rax + xorq %rcx,%r15 + rorq $28,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + vmovdqa %xmm10,112(%rsp) + cmpb $0,135(%rsi) + jne L$xop_00_47 + rorq $23,%r13 + movq %r14,%rax + movq %r9,%r12 + rorq $5,%r14 + xorq %r8,%r13 + xorq %r10,%r12 + rorq $4,%r13 + xorq %rax,%r14 + andq %r8,%r12 + xorq %r8,%r13 + addq 0(%rsp),%r11 + movq %rax,%r15 + xorq %r10,%r12 + rorq $6,%r14 + xorq %rbx,%r15 + addq %r12,%r11 + rorq $14,%r13 + andq %r15,%rdi + xorq %rax,%r14 + addq %r13,%r11 + xorq %rbx,%rdi + rorq $28,%r14 + addq %r11,%rdx + addq %rdi,%r11 + movq %rdx,%r13 + addq %r11,%r14 + rorq $23,%r13 + movq %r14,%r11 + movq %r8,%r12 + rorq $5,%r14 + xorq %rdx,%r13 + xorq %r9,%r12 + rorq $4,%r13 + xorq %r11,%r14 + andq %rdx,%r12 + xorq %rdx,%r13 + addq 8(%rsp),%r10 + movq %r11,%rdi + xorq %r9,%r12 + rorq $6,%r14 + xorq %rax,%rdi + addq %r12,%r10 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r11,%r14 + addq %r13,%r10 + xorq %rax,%r15 + rorq $28,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + rorq $23,%r13 + movq %r14,%r10 + movq %rdx,%r12 + rorq $5,%r14 + xorq %rcx,%r13 + xorq %r8,%r12 + rorq $4,%r13 + xorq %r10,%r14 + andq %rcx,%r12 + xorq %rcx,%r13 + addq 16(%rsp),%r9 + movq %r10,%r15 + xorq %r8,%r12 + rorq $6,%r14 + xorq %r11,%r15 + addq %r12,%r9 + rorq $14,%r13 + andq %r15,%rdi + xorq %r10,%r14 + addq %r13,%r9 + xorq %r11,%rdi + rorq $28,%r14 + addq %r9,%rbx + addq %rdi,%r9 + movq %rbx,%r13 + addq %r9,%r14 + rorq $23,%r13 + movq %r14,%r9 + movq %rcx,%r12 + rorq $5,%r14 + xorq %rbx,%r13 + xorq %rdx,%r12 + rorq $4,%r13 + xorq %r9,%r14 + andq %rbx,%r12 + xorq %rbx,%r13 + addq 24(%rsp),%r8 + movq %r9,%rdi + xorq %rdx,%r12 + rorq $6,%r14 + xorq %r10,%rdi + addq %r12,%r8 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r9,%r14 + addq %r13,%r8 + xorq %r10,%r15 + rorq $28,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + rorq $23,%r13 + movq %r14,%r8 + movq %rbx,%r12 + rorq $5,%r14 + xorq %rax,%r13 + xorq %rcx,%r12 + rorq $4,%r13 + xorq %r8,%r14 + andq %rax,%r12 + xorq %rax,%r13 + addq 32(%rsp),%rdx + movq %r8,%r15 + xorq %rcx,%r12 + rorq $6,%r14 + xorq %r9,%r15 + addq %r12,%rdx + rorq $14,%r13 + andq %r15,%rdi + xorq %r8,%r14 + addq %r13,%rdx + xorq %r9,%rdi + rorq $28,%r14 + addq %rdx,%r11 + addq %rdi,%rdx + movq %r11,%r13 + addq %rdx,%r14 + rorq $23,%r13 + movq %r14,%rdx + movq %rax,%r12 + rorq $5,%r14 + xorq %r11,%r13 + xorq %rbx,%r12 + rorq $4,%r13 + xorq %rdx,%r14 + andq %r11,%r12 + xorq %r11,%r13 + addq 40(%rsp),%rcx + movq %rdx,%rdi + xorq %rbx,%r12 + rorq $6,%r14 + xorq %r8,%rdi + addq %r12,%rcx + rorq $14,%r13 + andq %rdi,%r15 + xorq %rdx,%r14 + addq %r13,%rcx + xorq %r8,%r15 + rorq $28,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + rorq $23,%r13 + movq %r14,%rcx + movq %r11,%r12 + rorq $5,%r14 + xorq %r10,%r13 + xorq %rax,%r12 + rorq $4,%r13 + xorq %rcx,%r14 + andq %r10,%r12 + xorq %r10,%r13 + addq 48(%rsp),%rbx + movq %rcx,%r15 + xorq %rax,%r12 + rorq $6,%r14 + xorq %rdx,%r15 + addq %r12,%rbx + rorq $14,%r13 + andq %r15,%rdi + xorq %rcx,%r14 + addq %r13,%rbx + xorq %rdx,%rdi + rorq $28,%r14 + addq %rbx,%r9 + addq %rdi,%rbx + movq %r9,%r13 + addq %rbx,%r14 + rorq $23,%r13 + movq %r14,%rbx + movq %r10,%r12 + rorq $5,%r14 + xorq %r9,%r13 + xorq %r11,%r12 + rorq $4,%r13 + xorq %rbx,%r14 + andq %r9,%r12 + xorq %r9,%r13 + addq 56(%rsp),%rax + movq %rbx,%rdi + xorq %r11,%r12 + rorq $6,%r14 + xorq %rcx,%rdi + addq %r12,%rax + rorq $14,%r13 + andq %rdi,%r15 + xorq %rbx,%r14 + addq %r13,%rax + xorq %rcx,%r15 + rorq $28,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + rorq $23,%r13 + movq %r14,%rax + movq %r9,%r12 + rorq $5,%r14 + xorq %r8,%r13 + xorq %r10,%r12 + rorq $4,%r13 + xorq %rax,%r14 + andq %r8,%r12 + xorq %r8,%r13 + addq 64(%rsp),%r11 + movq %rax,%r15 + xorq %r10,%r12 + rorq $6,%r14 + xorq %rbx,%r15 + addq %r12,%r11 + rorq $14,%r13 + andq %r15,%rdi + xorq %rax,%r14 + addq %r13,%r11 + xorq %rbx,%rdi + rorq $28,%r14 + addq %r11,%rdx + addq %rdi,%r11 + movq %rdx,%r13 + addq %r11,%r14 + rorq $23,%r13 + movq %r14,%r11 + movq %r8,%r12 + rorq $5,%r14 + xorq %rdx,%r13 + xorq %r9,%r12 + rorq $4,%r13 + xorq %r11,%r14 + andq %rdx,%r12 + xorq %rdx,%r13 + addq 72(%rsp),%r10 + movq %r11,%rdi + xorq %r9,%r12 + rorq $6,%r14 + xorq %rax,%rdi + addq %r12,%r10 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r11,%r14 + addq %r13,%r10 + xorq %rax,%r15 + rorq $28,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + rorq $23,%r13 + movq %r14,%r10 + movq %rdx,%r12 + rorq $5,%r14 + xorq %rcx,%r13 + xorq %r8,%r12 + rorq $4,%r13 + xorq %r10,%r14 + andq %rcx,%r12 + xorq %rcx,%r13 + addq 80(%rsp),%r9 + movq %r10,%r15 + xorq %r8,%r12 + rorq $6,%r14 + xorq %r11,%r15 + addq %r12,%r9 + rorq $14,%r13 + andq %r15,%rdi + xorq %r10,%r14 + addq %r13,%r9 + xorq %r11,%rdi + rorq $28,%r14 + addq %r9,%rbx + addq %rdi,%r9 + movq %rbx,%r13 + addq %r9,%r14 + rorq $23,%r13 + movq %r14,%r9 + movq %rcx,%r12 + rorq $5,%r14 + xorq %rbx,%r13 + xorq %rdx,%r12 + rorq $4,%r13 + xorq %r9,%r14 + andq %rbx,%r12 + xorq %rbx,%r13 + addq 88(%rsp),%r8 + movq %r9,%rdi + xorq %rdx,%r12 + rorq $6,%r14 + xorq %r10,%rdi + addq %r12,%r8 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r9,%r14 + addq %r13,%r8 + xorq %r10,%r15 + rorq $28,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + rorq $23,%r13 + movq %r14,%r8 + movq %rbx,%r12 + rorq $5,%r14 + xorq %rax,%r13 + xorq %rcx,%r12 + rorq $4,%r13 + xorq %r8,%r14 + andq %rax,%r12 + xorq %rax,%r13 + addq 96(%rsp),%rdx + movq %r8,%r15 + xorq %rcx,%r12 + rorq $6,%r14 + xorq %r9,%r15 + addq %r12,%rdx + rorq $14,%r13 + andq %r15,%rdi + xorq %r8,%r14 + addq %r13,%rdx + xorq %r9,%rdi + rorq $28,%r14 + addq %rdx,%r11 + addq %rdi,%rdx + movq %r11,%r13 + addq %rdx,%r14 + rorq $23,%r13 + movq %r14,%rdx + movq %rax,%r12 + rorq $5,%r14 + xorq %r11,%r13 + xorq %rbx,%r12 + rorq $4,%r13 + xorq %rdx,%r14 + andq %r11,%r12 + xorq %r11,%r13 + addq 104(%rsp),%rcx + movq %rdx,%rdi + xorq %rbx,%r12 + rorq $6,%r14 + xorq %r8,%rdi + addq %r12,%rcx + rorq $14,%r13 + andq %rdi,%r15 + xorq %rdx,%r14 + addq %r13,%rcx + xorq %r8,%r15 + rorq $28,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + rorq $23,%r13 + movq %r14,%rcx + movq %r11,%r12 + rorq $5,%r14 + xorq %r10,%r13 + xorq %rax,%r12 + rorq $4,%r13 + xorq %rcx,%r14 + andq %r10,%r12 + xorq %r10,%r13 + addq 112(%rsp),%rbx + movq %rcx,%r15 + xorq %rax,%r12 + rorq $6,%r14 + xorq %rdx,%r15 + addq %r12,%rbx + rorq $14,%r13 + andq %r15,%rdi + xorq %rcx,%r14 + addq %r13,%rbx + xorq %rdx,%rdi + rorq $28,%r14 + addq %rbx,%r9 + addq %rdi,%rbx + movq %r9,%r13 + addq %rbx,%r14 + rorq $23,%r13 + movq %r14,%rbx + movq %r10,%r12 + rorq $5,%r14 + xorq %r9,%r13 + xorq %r11,%r12 + rorq $4,%r13 + xorq %rbx,%r14 + andq %r9,%r12 + xorq %r9,%r13 + addq 120(%rsp),%rax + movq %rbx,%rdi + xorq %r11,%r12 + rorq $6,%r14 + xorq %rcx,%rdi + addq %r12,%rax + rorq $14,%r13 + andq %rdi,%r15 + xorq %rbx,%r14 + addq %r13,%rax + xorq %rcx,%r15 + rorq $28,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + movq -64(%rbp),%rdi + movq %r14,%rax + movq -56(%rbp),%rsi + + addq 0(%rdi),%rax + addq 8(%rdi),%rbx + addq 16(%rdi),%rcx + addq 24(%rdi),%rdx + addq 32(%rdi),%r8 + addq 40(%rdi),%r9 + addq 48(%rdi),%r10 + addq 56(%rdi),%r11 + + leaq 128(%rsi),%rsi + cmpq -48(%rbp),%rsi + + movq %rax,0(%rdi) + movq %rbx,8(%rdi) + movq %rcx,16(%rdi) + movq %rdx,24(%rdi) + movq %r8,32(%rdi) + movq %r9,40(%rdi) + movq %r10,48(%rdi) + movq %r11,56(%rdi) + jb L$loop_xop + + vzeroupper + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp +.cfi_def_cfa_register %rsp + popq %rbp +.cfi_adjust_cfa_offset -8 +.cfi_restore %rbp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbx + .byte 0xf3,0xc3 +.cfi_endproc + + +.p2align 6 +crypton_sha512_asm_block_data_order_avx: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp +L$avx_shortcut: + pushq %rbx +.cfi_offset %rbx,-24 + pushq %r12 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_offset %r15,-56 + shlq $4,%rdx + subq $24,%rsp + + leaq (%rsi,%rdx,8),%rdx + movq %rdi,-64(%rbp) + + movq %rdx,-48(%rbp) + + + leaq -128(%rsp),%rsp + vzeroupper + andq $-64,%rsp + movq 0(%rdi),%rax + movq 8(%rdi),%rbx + movq 16(%rdi),%rcx + movq 24(%rdi),%rdx + movq 32(%rdi),%r8 + movq 40(%rdi),%r9 + movq 48(%rdi),%r10 + movq 56(%rdi),%r11 + jmp L$loop_avx +.p2align 4 +L$loop_avx: + vmovdqa K512+1280(%rip),%xmm11 + movq %rsi,-56(%rbp) + vmovdqu 0(%rsi),%xmm0 + vmovdqu 16(%rsi),%xmm1 + vmovdqu 32(%rsi),%xmm2 + vpshufb %xmm11,%xmm0,%xmm0 + vmovdqu 48(%rsi),%xmm3 + vpshufb %xmm11,%xmm1,%xmm1 + vmovdqu 64(%rsi),%xmm4 + vpshufb %xmm11,%xmm2,%xmm2 + vmovdqu 80(%rsi),%xmm5 + vpshufb %xmm11,%xmm3,%xmm3 + vmovdqu 96(%rsi),%xmm6 + vpshufb %xmm11,%xmm4,%xmm4 + vmovdqu 112(%rsi),%xmm7 + leaq K512+128(%rip),%rsi + vpshufb %xmm11,%xmm5,%xmm5 + vpaddq -128(%rsi),%xmm0,%xmm8 + vpshufb %xmm11,%xmm6,%xmm6 + vpaddq -96(%rsi),%xmm1,%xmm9 + vpshufb %xmm11,%xmm7,%xmm7 + vpaddq -64(%rsi),%xmm2,%xmm10 + vpaddq -32(%rsi),%xmm3,%xmm11 + vmovdqa %xmm8,0(%rsp) + vpaddq 0(%rsi),%xmm4,%xmm8 + vmovdqa %xmm9,16(%rsp) + vpaddq 32(%rsi),%xmm5,%xmm9 + vmovdqa %xmm10,32(%rsp) + vpaddq 64(%rsi),%xmm6,%xmm10 + vmovdqa %xmm11,48(%rsp) + vpaddq 96(%rsi),%xmm7,%xmm11 + vmovdqa %xmm8,64(%rsp) + movq %rax,%r14 + vmovdqa %xmm9,80(%rsp) + movq %rbx,%rdi + vmovdqa %xmm10,96(%rsp) + xorq %rcx,%rdi + vmovdqa %xmm11,112(%rsp) + movq %r8,%r13 + jmp L$avx_00_47 + +.p2align 4 +L$avx_00_47: + addq $256,%rsi + vpalignr $8,%xmm0,%xmm1,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%rax + vpalignr $8,%xmm4,%xmm5,%xmm11 + movq %r9,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %r8,%r13 + xorq %r10,%r12 + vpaddq %xmm11,%xmm0,%xmm0 + shrdq $4,%r13,%r13 + xorq %rax,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %r8,%r12 + xorq %r8,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 0(%rsp),%r11 + movq %rax,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %r10,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %rbx,%r15 + addq %r12,%r11 + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %rax,%r14 + addq %r13,%r11 + vpxor %xmm10,%xmm8,%xmm8 + xorq %rbx,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm7,%xmm11 + addq %r11,%rdx + addq %rdi,%r11 + vpxor %xmm9,%xmm8,%xmm8 + movq %rdx,%r13 + addq %r11,%r14 + vpsllq $3,%xmm7,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%r11 + vpaddq %xmm8,%xmm0,%xmm0 + movq %r8,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm7,%xmm9 + xorq %rdx,%r13 + xorq %r9,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %r11,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %rdx,%r12 + xorq %rdx,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 8(%rsp),%r10 + movq %r11,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %r9,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %rax,%rdi + addq %r12,%r10 + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm0,%xmm0 + xorq %r11,%r14 + addq %r13,%r10 + vpaddq -128(%rsi),%xmm0,%xmm10 + xorq %rax,%r15 + shrdq $28,%r14,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + vmovdqa %xmm10,0(%rsp) + vpalignr $8,%xmm1,%xmm2,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%r10 + vpalignr $8,%xmm5,%xmm6,%xmm11 + movq %rdx,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %rcx,%r13 + xorq %r8,%r12 + vpaddq %xmm11,%xmm1,%xmm1 + shrdq $4,%r13,%r13 + xorq %r10,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %rcx,%r12 + xorq %rcx,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 16(%rsp),%r9 + movq %r10,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %r8,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %r11,%r15 + addq %r12,%r9 + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %r10,%r14 + addq %r13,%r9 + vpxor %xmm10,%xmm8,%xmm8 + xorq %r11,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm0,%xmm11 + addq %r9,%rbx + addq %rdi,%r9 + vpxor %xmm9,%xmm8,%xmm8 + movq %rbx,%r13 + addq %r9,%r14 + vpsllq $3,%xmm0,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%r9 + vpaddq %xmm8,%xmm1,%xmm1 + movq %rcx,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm0,%xmm9 + xorq %rbx,%r13 + xorq %rdx,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %r9,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %rbx,%r12 + xorq %rbx,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 24(%rsp),%r8 + movq %r9,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %rdx,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %r10,%rdi + addq %r12,%r8 + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm1,%xmm1 + xorq %r9,%r14 + addq %r13,%r8 + vpaddq -96(%rsi),%xmm1,%xmm10 + xorq %r10,%r15 + shrdq $28,%r14,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + vmovdqa %xmm10,16(%rsp) + vpalignr $8,%xmm2,%xmm3,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%r8 + vpalignr $8,%xmm6,%xmm7,%xmm11 + movq %rbx,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %rax,%r13 + xorq %rcx,%r12 + vpaddq %xmm11,%xmm2,%xmm2 + shrdq $4,%r13,%r13 + xorq %r8,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %rax,%r12 + xorq %rax,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 32(%rsp),%rdx + movq %r8,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %rcx,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %r9,%r15 + addq %r12,%rdx + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %r8,%r14 + addq %r13,%rdx + vpxor %xmm10,%xmm8,%xmm8 + xorq %r9,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm1,%xmm11 + addq %rdx,%r11 + addq %rdi,%rdx + vpxor %xmm9,%xmm8,%xmm8 + movq %r11,%r13 + addq %rdx,%r14 + vpsllq $3,%xmm1,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%rdx + vpaddq %xmm8,%xmm2,%xmm2 + movq %rax,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm1,%xmm9 + xorq %r11,%r13 + xorq %rbx,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %rdx,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %r11,%r12 + xorq %r11,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 40(%rsp),%rcx + movq %rdx,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %rbx,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %r8,%rdi + addq %r12,%rcx + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm2,%xmm2 + xorq %rdx,%r14 + addq %r13,%rcx + vpaddq -64(%rsi),%xmm2,%xmm10 + xorq %r8,%r15 + shrdq $28,%r14,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + vmovdqa %xmm10,32(%rsp) + vpalignr $8,%xmm3,%xmm4,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%rcx + vpalignr $8,%xmm7,%xmm0,%xmm11 + movq %r11,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %r10,%r13 + xorq %rax,%r12 + vpaddq %xmm11,%xmm3,%xmm3 + shrdq $4,%r13,%r13 + xorq %rcx,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %r10,%r12 + xorq %r10,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 48(%rsp),%rbx + movq %rcx,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %rax,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %rdx,%r15 + addq %r12,%rbx + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %rcx,%r14 + addq %r13,%rbx + vpxor %xmm10,%xmm8,%xmm8 + xorq %rdx,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm2,%xmm11 + addq %rbx,%r9 + addq %rdi,%rbx + vpxor %xmm9,%xmm8,%xmm8 + movq %r9,%r13 + addq %rbx,%r14 + vpsllq $3,%xmm2,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%rbx + vpaddq %xmm8,%xmm3,%xmm3 + movq %r10,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm2,%xmm9 + xorq %r9,%r13 + xorq %r11,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %rbx,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %r9,%r12 + xorq %r9,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 56(%rsp),%rax + movq %rbx,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %r11,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %rcx,%rdi + addq %r12,%rax + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm3,%xmm3 + xorq %rbx,%r14 + addq %r13,%rax + vpaddq -32(%rsi),%xmm3,%xmm10 + xorq %rcx,%r15 + shrdq $28,%r14,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + vmovdqa %xmm10,48(%rsp) + vpalignr $8,%xmm4,%xmm5,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%rax + vpalignr $8,%xmm0,%xmm1,%xmm11 + movq %r9,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %r8,%r13 + xorq %r10,%r12 + vpaddq %xmm11,%xmm4,%xmm4 + shrdq $4,%r13,%r13 + xorq %rax,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %r8,%r12 + xorq %r8,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 64(%rsp),%r11 + movq %rax,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %r10,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %rbx,%r15 + addq %r12,%r11 + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %rax,%r14 + addq %r13,%r11 + vpxor %xmm10,%xmm8,%xmm8 + xorq %rbx,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm3,%xmm11 + addq %r11,%rdx + addq %rdi,%r11 + vpxor %xmm9,%xmm8,%xmm8 + movq %rdx,%r13 + addq %r11,%r14 + vpsllq $3,%xmm3,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%r11 + vpaddq %xmm8,%xmm4,%xmm4 + movq %r8,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm3,%xmm9 + xorq %rdx,%r13 + xorq %r9,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %r11,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %rdx,%r12 + xorq %rdx,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 72(%rsp),%r10 + movq %r11,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %r9,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %rax,%rdi + addq %r12,%r10 + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm4,%xmm4 + xorq %r11,%r14 + addq %r13,%r10 + vpaddq 0(%rsi),%xmm4,%xmm10 + xorq %rax,%r15 + shrdq $28,%r14,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + vmovdqa %xmm10,64(%rsp) + vpalignr $8,%xmm5,%xmm6,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%r10 + vpalignr $8,%xmm1,%xmm2,%xmm11 + movq %rdx,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %rcx,%r13 + xorq %r8,%r12 + vpaddq %xmm11,%xmm5,%xmm5 + shrdq $4,%r13,%r13 + xorq %r10,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %rcx,%r12 + xorq %rcx,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 80(%rsp),%r9 + movq %r10,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %r8,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %r11,%r15 + addq %r12,%r9 + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %r10,%r14 + addq %r13,%r9 + vpxor %xmm10,%xmm8,%xmm8 + xorq %r11,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm4,%xmm11 + addq %r9,%rbx + addq %rdi,%r9 + vpxor %xmm9,%xmm8,%xmm8 + movq %rbx,%r13 + addq %r9,%r14 + vpsllq $3,%xmm4,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%r9 + vpaddq %xmm8,%xmm5,%xmm5 + movq %rcx,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm4,%xmm9 + xorq %rbx,%r13 + xorq %rdx,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %r9,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %rbx,%r12 + xorq %rbx,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 88(%rsp),%r8 + movq %r9,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %rdx,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %r10,%rdi + addq %r12,%r8 + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm5,%xmm5 + xorq %r9,%r14 + addq %r13,%r8 + vpaddq 32(%rsi),%xmm5,%xmm10 + xorq %r10,%r15 + shrdq $28,%r14,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + vmovdqa %xmm10,80(%rsp) + vpalignr $8,%xmm6,%xmm7,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%r8 + vpalignr $8,%xmm2,%xmm3,%xmm11 + movq %rbx,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %rax,%r13 + xorq %rcx,%r12 + vpaddq %xmm11,%xmm6,%xmm6 + shrdq $4,%r13,%r13 + xorq %r8,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %rax,%r12 + xorq %rax,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 96(%rsp),%rdx + movq %r8,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %rcx,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %r9,%r15 + addq %r12,%rdx + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %r8,%r14 + addq %r13,%rdx + vpxor %xmm10,%xmm8,%xmm8 + xorq %r9,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm5,%xmm11 + addq %rdx,%r11 + addq %rdi,%rdx + vpxor %xmm9,%xmm8,%xmm8 + movq %r11,%r13 + addq %rdx,%r14 + vpsllq $3,%xmm5,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%rdx + vpaddq %xmm8,%xmm6,%xmm6 + movq %rax,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm5,%xmm9 + xorq %r11,%r13 + xorq %rbx,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %rdx,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %r11,%r12 + xorq %r11,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 104(%rsp),%rcx + movq %rdx,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %rbx,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %r8,%rdi + addq %r12,%rcx + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm6,%xmm6 + xorq %rdx,%r14 + addq %r13,%rcx + vpaddq 64(%rsi),%xmm6,%xmm10 + xorq %r8,%r15 + shrdq $28,%r14,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + vmovdqa %xmm10,96(%rsp) + vpalignr $8,%xmm7,%xmm0,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%rcx + vpalignr $8,%xmm3,%xmm4,%xmm11 + movq %r11,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %r10,%r13 + xorq %rax,%r12 + vpaddq %xmm11,%xmm7,%xmm7 + shrdq $4,%r13,%r13 + xorq %rcx,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %r10,%r12 + xorq %r10,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 112(%rsp),%rbx + movq %rcx,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %rax,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %rdx,%r15 + addq %r12,%rbx + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %rcx,%r14 + addq %r13,%rbx + vpxor %xmm10,%xmm8,%xmm8 + xorq %rdx,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm6,%xmm11 + addq %rbx,%r9 + addq %rdi,%rbx + vpxor %xmm9,%xmm8,%xmm8 + movq %r9,%r13 + addq %rbx,%r14 + vpsllq $3,%xmm6,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%rbx + vpaddq %xmm8,%xmm7,%xmm7 + movq %r10,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm6,%xmm9 + xorq %r9,%r13 + xorq %r11,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %rbx,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %r9,%r12 + xorq %r9,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 120(%rsp),%rax + movq %rbx,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %r11,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %rcx,%rdi + addq %r12,%rax + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm7,%xmm7 + xorq %rbx,%r14 + addq %r13,%rax + vpaddq 96(%rsi),%xmm7,%xmm10 + xorq %rcx,%r15 + shrdq $28,%r14,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + vmovdqa %xmm10,112(%rsp) + cmpb $0,135(%rsi) + jne L$avx_00_47 + shrdq $23,%r13,%r13 + movq %r14,%rax + movq %r9,%r12 + shrdq $5,%r14,%r14 + xorq %r8,%r13 + xorq %r10,%r12 + shrdq $4,%r13,%r13 + xorq %rax,%r14 + andq %r8,%r12 + xorq %r8,%r13 + addq 0(%rsp),%r11 + movq %rax,%r15 + xorq %r10,%r12 + shrdq $6,%r14,%r14 + xorq %rbx,%r15 + addq %r12,%r11 + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %rax,%r14 + addq %r13,%r11 + xorq %rbx,%rdi + shrdq $28,%r14,%r14 + addq %r11,%rdx + addq %rdi,%r11 + movq %rdx,%r13 + addq %r11,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r11 + movq %r8,%r12 + shrdq $5,%r14,%r14 + xorq %rdx,%r13 + xorq %r9,%r12 + shrdq $4,%r13,%r13 + xorq %r11,%r14 + andq %rdx,%r12 + xorq %rdx,%r13 + addq 8(%rsp),%r10 + movq %r11,%rdi + xorq %r9,%r12 + shrdq $6,%r14,%r14 + xorq %rax,%rdi + addq %r12,%r10 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %r11,%r14 + addq %r13,%r10 + xorq %rax,%r15 + shrdq $28,%r14,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r10 + movq %rdx,%r12 + shrdq $5,%r14,%r14 + xorq %rcx,%r13 + xorq %r8,%r12 + shrdq $4,%r13,%r13 + xorq %r10,%r14 + andq %rcx,%r12 + xorq %rcx,%r13 + addq 16(%rsp),%r9 + movq %r10,%r15 + xorq %r8,%r12 + shrdq $6,%r14,%r14 + xorq %r11,%r15 + addq %r12,%r9 + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %r10,%r14 + addq %r13,%r9 + xorq %r11,%rdi + shrdq $28,%r14,%r14 + addq %r9,%rbx + addq %rdi,%r9 + movq %rbx,%r13 + addq %r9,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r9 + movq %rcx,%r12 + shrdq $5,%r14,%r14 + xorq %rbx,%r13 + xorq %rdx,%r12 + shrdq $4,%r13,%r13 + xorq %r9,%r14 + andq %rbx,%r12 + xorq %rbx,%r13 + addq 24(%rsp),%r8 + movq %r9,%rdi + xorq %rdx,%r12 + shrdq $6,%r14,%r14 + xorq %r10,%rdi + addq %r12,%r8 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %r9,%r14 + addq %r13,%r8 + xorq %r10,%r15 + shrdq $28,%r14,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r8 + movq %rbx,%r12 + shrdq $5,%r14,%r14 + xorq %rax,%r13 + xorq %rcx,%r12 + shrdq $4,%r13,%r13 + xorq %r8,%r14 + andq %rax,%r12 + xorq %rax,%r13 + addq 32(%rsp),%rdx + movq %r8,%r15 + xorq %rcx,%r12 + shrdq $6,%r14,%r14 + xorq %r9,%r15 + addq %r12,%rdx + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %r8,%r14 + addq %r13,%rdx + xorq %r9,%rdi + shrdq $28,%r14,%r14 + addq %rdx,%r11 + addq %rdi,%rdx + movq %r11,%r13 + addq %rdx,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rdx + movq %rax,%r12 + shrdq $5,%r14,%r14 + xorq %r11,%r13 + xorq %rbx,%r12 + shrdq $4,%r13,%r13 + xorq %rdx,%r14 + andq %r11,%r12 + xorq %r11,%r13 + addq 40(%rsp),%rcx + movq %rdx,%rdi + xorq %rbx,%r12 + shrdq $6,%r14,%r14 + xorq %r8,%rdi + addq %r12,%rcx + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %rdx,%r14 + addq %r13,%rcx + xorq %r8,%r15 + shrdq $28,%r14,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rcx + movq %r11,%r12 + shrdq $5,%r14,%r14 + xorq %r10,%r13 + xorq %rax,%r12 + shrdq $4,%r13,%r13 + xorq %rcx,%r14 + andq %r10,%r12 + xorq %r10,%r13 + addq 48(%rsp),%rbx + movq %rcx,%r15 + xorq %rax,%r12 + shrdq $6,%r14,%r14 + xorq %rdx,%r15 + addq %r12,%rbx + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %rcx,%r14 + addq %r13,%rbx + xorq %rdx,%rdi + shrdq $28,%r14,%r14 + addq %rbx,%r9 + addq %rdi,%rbx + movq %r9,%r13 + addq %rbx,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rbx + movq %r10,%r12 + shrdq $5,%r14,%r14 + xorq %r9,%r13 + xorq %r11,%r12 + shrdq $4,%r13,%r13 + xorq %rbx,%r14 + andq %r9,%r12 + xorq %r9,%r13 + addq 56(%rsp),%rax + movq %rbx,%rdi + xorq %r11,%r12 + shrdq $6,%r14,%r14 + xorq %rcx,%rdi + addq %r12,%rax + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %rbx,%r14 + addq %r13,%rax + xorq %rcx,%r15 + shrdq $28,%r14,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rax + movq %r9,%r12 + shrdq $5,%r14,%r14 + xorq %r8,%r13 + xorq %r10,%r12 + shrdq $4,%r13,%r13 + xorq %rax,%r14 + andq %r8,%r12 + xorq %r8,%r13 + addq 64(%rsp),%r11 + movq %rax,%r15 + xorq %r10,%r12 + shrdq $6,%r14,%r14 + xorq %rbx,%r15 + addq %r12,%r11 + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %rax,%r14 + addq %r13,%r11 + xorq %rbx,%rdi + shrdq $28,%r14,%r14 + addq %r11,%rdx + addq %rdi,%r11 + movq %rdx,%r13 + addq %r11,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r11 + movq %r8,%r12 + shrdq $5,%r14,%r14 + xorq %rdx,%r13 + xorq %r9,%r12 + shrdq $4,%r13,%r13 + xorq %r11,%r14 + andq %rdx,%r12 + xorq %rdx,%r13 + addq 72(%rsp),%r10 + movq %r11,%rdi + xorq %r9,%r12 + shrdq $6,%r14,%r14 + xorq %rax,%rdi + addq %r12,%r10 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %r11,%r14 + addq %r13,%r10 + xorq %rax,%r15 + shrdq $28,%r14,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r10 + movq %rdx,%r12 + shrdq $5,%r14,%r14 + xorq %rcx,%r13 + xorq %r8,%r12 + shrdq $4,%r13,%r13 + xorq %r10,%r14 + andq %rcx,%r12 + xorq %rcx,%r13 + addq 80(%rsp),%r9 + movq %r10,%r15 + xorq %r8,%r12 + shrdq $6,%r14,%r14 + xorq %r11,%r15 + addq %r12,%r9 + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %r10,%r14 + addq %r13,%r9 + xorq %r11,%rdi + shrdq $28,%r14,%r14 + addq %r9,%rbx + addq %rdi,%r9 + movq %rbx,%r13 + addq %r9,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r9 + movq %rcx,%r12 + shrdq $5,%r14,%r14 + xorq %rbx,%r13 + xorq %rdx,%r12 + shrdq $4,%r13,%r13 + xorq %r9,%r14 + andq %rbx,%r12 + xorq %rbx,%r13 + addq 88(%rsp),%r8 + movq %r9,%rdi + xorq %rdx,%r12 + shrdq $6,%r14,%r14 + xorq %r10,%rdi + addq %r12,%r8 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %r9,%r14 + addq %r13,%r8 + xorq %r10,%r15 + shrdq $28,%r14,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r8 + movq %rbx,%r12 + shrdq $5,%r14,%r14 + xorq %rax,%r13 + xorq %rcx,%r12 + shrdq $4,%r13,%r13 + xorq %r8,%r14 + andq %rax,%r12 + xorq %rax,%r13 + addq 96(%rsp),%rdx + movq %r8,%r15 + xorq %rcx,%r12 + shrdq $6,%r14,%r14 + xorq %r9,%r15 + addq %r12,%rdx + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %r8,%r14 + addq %r13,%rdx + xorq %r9,%rdi + shrdq $28,%r14,%r14 + addq %rdx,%r11 + addq %rdi,%rdx + movq %r11,%r13 + addq %rdx,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rdx + movq %rax,%r12 + shrdq $5,%r14,%r14 + xorq %r11,%r13 + xorq %rbx,%r12 + shrdq $4,%r13,%r13 + xorq %rdx,%r14 + andq %r11,%r12 + xorq %r11,%r13 + addq 104(%rsp),%rcx + movq %rdx,%rdi + xorq %rbx,%r12 + shrdq $6,%r14,%r14 + xorq %r8,%rdi + addq %r12,%rcx + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %rdx,%r14 + addq %r13,%rcx + xorq %r8,%r15 + shrdq $28,%r14,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rcx + movq %r11,%r12 + shrdq $5,%r14,%r14 + xorq %r10,%r13 + xorq %rax,%r12 + shrdq $4,%r13,%r13 + xorq %rcx,%r14 + andq %r10,%r12 + xorq %r10,%r13 + addq 112(%rsp),%rbx + movq %rcx,%r15 + xorq %rax,%r12 + shrdq $6,%r14,%r14 + xorq %rdx,%r15 + addq %r12,%rbx + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %rcx,%r14 + addq %r13,%rbx + xorq %rdx,%rdi + shrdq $28,%r14,%r14 + addq %rbx,%r9 + addq %rdi,%rbx + movq %r9,%r13 + addq %rbx,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rbx + movq %r10,%r12 + shrdq $5,%r14,%r14 + xorq %r9,%r13 + xorq %r11,%r12 + shrdq $4,%r13,%r13 + xorq %rbx,%r14 + andq %r9,%r12 + xorq %r9,%r13 + addq 120(%rsp),%rax + movq %rbx,%rdi + xorq %r11,%r12 + shrdq $6,%r14,%r14 + xorq %rcx,%rdi + addq %r12,%rax + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %rbx,%r14 + addq %r13,%rax + xorq %rcx,%r15 + shrdq $28,%r14,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + movq -64(%rbp),%rdi + movq %r14,%rax + movq -56(%rbp),%rsi + + addq 0(%rdi),%rax + addq 8(%rdi),%rbx + addq 16(%rdi),%rcx + addq 24(%rdi),%rdx + addq 32(%rdi),%r8 + addq 40(%rdi),%r9 + addq 48(%rdi),%r10 + addq 56(%rdi),%r11 + + leaq 128(%rsi),%rsi + cmpq -48(%rbp),%rsi + + movq %rax,0(%rdi) + movq %rbx,8(%rdi) + movq %rcx,16(%rdi) + movq %rdx,24(%rdi) + movq %r8,32(%rdi) + movq %r9,40(%rdi) + movq %r10,48(%rdi) + movq %r11,56(%rdi) + jb L$loop_avx + + vzeroupper + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp +.cfi_def_cfa_register %rsp + popq %rbp +.cfi_adjust_cfa_offset -8 +.cfi_restore %rbp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbx + .byte 0xf3,0xc3 +.cfi_endproc + + +.p2align 6 +crypton_sha512_asm_block_data_order_avx2: +.cfi_startproc + .byte 0xf3,0x0f,0x1e,0xfa + + + pushq %rbp +.cfi_adjust_cfa_offset 8 +.cfi_offset %rbp,-16 + movq %rsp,%rbp +.cfi_def_cfa_register %rbp +L$avx2_shortcut: + pushq %rbx +.cfi_offset %rbx,-24 + pushq %r12 +.cfi_offset %r12,-32 + pushq %r13 +.cfi_offset %r13,-40 + pushq %r14 +.cfi_offset %r14,-48 + pushq %r15 +.cfi_offset %r15,-56 + shlq $4,%rdx + subq $24,%rsp + + leaq (%rsi,%rdx,8),%rdx + movq %rdi,-64(%rbp) + + movq %rdx,-48(%rbp) + + + leaq -128(%rsp),%rsp + vzeroupper + andq $-128,%rsp + subq $-128,%rsi + movq 0(%rdi),%rax + movq %rsi,%r12 + movq 8(%rdi),%rbx + cmpq %rdx,%rsi + movq 16(%rdi),%rcx + cmoveq %rsp,%r12 + movq 24(%rdi),%rdx + movq 32(%rdi),%r8 + movq 40(%rdi),%r9 + movq 48(%rdi),%r10 + movq 56(%rdi),%r11 + jmp L$oop_avx2 +.p2align 4 +L$oop_avx2: + vmovdqa K512+1280(%rip),%ymm10 + movq %rsi,-56(%rbp) + vmovdqu -128(%rsi),%xmm0 + vmovdqu -128+16(%rsi),%xmm1 + vmovdqu -128+32(%rsi),%xmm2 + vmovdqu -128+48(%rsi),%xmm3 + vmovdqu -128+64(%rsi),%xmm4 + vmovdqu -128+80(%rsi),%xmm5 + vmovdqu -128+96(%rsi),%xmm6 + vmovdqu -128+112(%rsi),%xmm7 + leaq K512+128(%rip),%rsi + vinserti128 $1,(%r12),%ymm0,%ymm0 + vinserti128 $1,16(%r12),%ymm1,%ymm1 + vpshufb %ymm10,%ymm0,%ymm0 + vinserti128 $1,32(%r12),%ymm2,%ymm2 + vpshufb %ymm10,%ymm1,%ymm1 + vinserti128 $1,48(%r12),%ymm3,%ymm3 + vpshufb %ymm10,%ymm2,%ymm2 + vinserti128 $1,64(%r12),%ymm4,%ymm4 + vpshufb %ymm10,%ymm3,%ymm3 + vinserti128 $1,80(%r12),%ymm5,%ymm5 + vpshufb %ymm10,%ymm4,%ymm4 + vinserti128 $1,96(%r12),%ymm6,%ymm6 + vpshufb %ymm10,%ymm5,%ymm5 + vinserti128 $1,112(%r12),%ymm7,%ymm7 + + vpaddq -128(%rsi),%ymm0,%ymm8 + vpshufb %ymm10,%ymm6,%ymm6 + vpaddq -96(%rsi),%ymm1,%ymm9 + vpshufb %ymm10,%ymm7,%ymm7 + vpaddq -64(%rsi),%ymm2,%ymm10 + vpaddq -32(%rsi),%ymm3,%ymm11 + vmovdqa %ymm8,0(%rsp) + vpaddq 0(%rsi),%ymm4,%ymm8 + vmovdqa %ymm9,32(%rsp) + vpaddq 32(%rsi),%ymm5,%ymm9 + vmovdqa %ymm10,64(%rsp) + vpaddq 64(%rsi),%ymm6,%ymm10 + vmovdqa %ymm11,96(%rsp) + leaq -128(%rsp),%rsp + vpaddq 96(%rsi),%ymm7,%ymm11 + vmovdqa %ymm8,0(%rsp) + xorq %r14,%r14 + vmovdqa %ymm9,32(%rsp) + movq %rbx,%rdi + vmovdqa %ymm10,64(%rsp) + xorq %rcx,%rdi + vmovdqa %ymm11,96(%rsp) + movq %r9,%r12 + addq $32*8,%rsi + jmp L$avx2_00_47 + +.p2align 4 +L$avx2_00_47: + leaq -128(%rsp),%rsp + vpalignr $8,%ymm0,%ymm1,%ymm8 + addq 0+256(%rsp),%r11 + andq %r8,%r12 + rorxq $41,%r8,%r13 + vpalignr $8,%ymm4,%ymm5,%ymm11 + rorxq $18,%r8,%r15 + leaq (%rax,%r14,1),%rax + leaq (%r11,%r12,1),%r11 + vpsrlq $1,%ymm8,%ymm10 + andnq %r10,%r8,%r12 + xorq %r15,%r13 + rorxq $14,%r8,%r14 + vpaddq %ymm11,%ymm0,%ymm0 + vpsrlq $7,%ymm8,%ymm11 + leaq (%r11,%r12,1),%r11 + xorq %r14,%r13 + movq %rax,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%rax,%r12 + leaq (%r11,%r13,1),%r11 + xorq %rbx,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%rax,%r14 + rorxq $28,%rax,%r13 + leaq (%rdx,%r11,1),%rdx + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rbx,%rdi + vpsrlq $6,%ymm7,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%r11,%rdi,1),%r11 + movq %r8,%r12 + vpsllq $3,%ymm7,%ymm10 + vpaddq %ymm8,%ymm0,%ymm0 + addq 8+256(%rsp),%r10 + andq %rdx,%r12 + rorxq $41,%rdx,%r13 + vpsrlq $19,%ymm7,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%rdx,%rdi + leaq (%r11,%r14,1),%r11 + leaq (%r10,%r12,1),%r10 + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %r9,%rdx,%r12 + xorq %rdi,%r13 + rorxq $14,%rdx,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%r10,%r12,1),%r10 + xorq %r14,%r13 + movq %r11,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%r11,%r12 + leaq (%r10,%r13,1),%r10 + xorq %rax,%rdi + vpaddq %ymm11,%ymm0,%ymm0 + rorxq $34,%r11,%r14 + rorxq $28,%r11,%r13 + leaq (%rcx,%r10,1),%rcx + vpaddq -128(%rsi),%ymm0,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rax,%r15 + xorq %r13,%r14 + leaq (%r10,%r15,1),%r10 + movq %rdx,%r12 + vmovdqa %ymm10,0(%rsp) + vpalignr $8,%ymm1,%ymm2,%ymm8 + addq 32+256(%rsp),%r9 + andq %rcx,%r12 + rorxq $41,%rcx,%r13 + vpalignr $8,%ymm5,%ymm6,%ymm11 + rorxq $18,%rcx,%r15 + leaq (%r10,%r14,1),%r10 + leaq (%r9,%r12,1),%r9 + vpsrlq $1,%ymm8,%ymm10 + andnq %r8,%rcx,%r12 + xorq %r15,%r13 + rorxq $14,%rcx,%r14 + vpaddq %ymm11,%ymm1,%ymm1 + vpsrlq $7,%ymm8,%ymm11 + leaq (%r9,%r12,1),%r9 + xorq %r14,%r13 + movq %r10,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%r10,%r12 + leaq (%r9,%r13,1),%r9 + xorq %r11,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%r10,%r14 + rorxq $28,%r10,%r13 + leaq (%rbx,%r9,1),%rbx + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r11,%rdi + vpsrlq $6,%ymm0,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%r9,%rdi,1),%r9 + movq %rcx,%r12 + vpsllq $3,%ymm0,%ymm10 + vpaddq %ymm8,%ymm1,%ymm1 + addq 40+256(%rsp),%r8 + andq %rbx,%r12 + rorxq $41,%rbx,%r13 + vpsrlq $19,%ymm0,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%rbx,%rdi + leaq (%r9,%r14,1),%r9 + leaq (%r8,%r12,1),%r8 + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %rdx,%rbx,%r12 + xorq %rdi,%r13 + rorxq $14,%rbx,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%r8,%r12,1),%r8 + xorq %r14,%r13 + movq %r9,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%r9,%r12 + leaq (%r8,%r13,1),%r8 + xorq %r10,%rdi + vpaddq %ymm11,%ymm1,%ymm1 + rorxq $34,%r9,%r14 + rorxq $28,%r9,%r13 + leaq (%rax,%r8,1),%rax + vpaddq -96(%rsi),%ymm1,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r10,%r15 + xorq %r13,%r14 + leaq (%r8,%r15,1),%r8 + movq %rbx,%r12 + vmovdqa %ymm10,32(%rsp) + vpalignr $8,%ymm2,%ymm3,%ymm8 + addq 64+256(%rsp),%rdx + andq %rax,%r12 + rorxq $41,%rax,%r13 + vpalignr $8,%ymm6,%ymm7,%ymm11 + rorxq $18,%rax,%r15 + leaq (%r8,%r14,1),%r8 + leaq (%rdx,%r12,1),%rdx + vpsrlq $1,%ymm8,%ymm10 + andnq %rcx,%rax,%r12 + xorq %r15,%r13 + rorxq $14,%rax,%r14 + vpaddq %ymm11,%ymm2,%ymm2 + vpsrlq $7,%ymm8,%ymm11 + leaq (%rdx,%r12,1),%rdx + xorq %r14,%r13 + movq %r8,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%r8,%r12 + leaq (%rdx,%r13,1),%rdx + xorq %r9,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%r8,%r14 + rorxq $28,%r8,%r13 + leaq (%r11,%rdx,1),%r11 + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r9,%rdi + vpsrlq $6,%ymm1,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%rdx,%rdi,1),%rdx + movq %rax,%r12 + vpsllq $3,%ymm1,%ymm10 + vpaddq %ymm8,%ymm2,%ymm2 + addq 72+256(%rsp),%rcx + andq %r11,%r12 + rorxq $41,%r11,%r13 + vpsrlq $19,%ymm1,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%r11,%rdi + leaq (%rdx,%r14,1),%rdx + leaq (%rcx,%r12,1),%rcx + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %rbx,%r11,%r12 + xorq %rdi,%r13 + rorxq $14,%r11,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%rcx,%r12,1),%rcx + xorq %r14,%r13 + movq %rdx,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%rdx,%r12 + leaq (%rcx,%r13,1),%rcx + xorq %r8,%rdi + vpaddq %ymm11,%ymm2,%ymm2 + rorxq $34,%rdx,%r14 + rorxq $28,%rdx,%r13 + leaq (%r10,%rcx,1),%r10 + vpaddq -64(%rsi),%ymm2,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r8,%r15 + xorq %r13,%r14 + leaq (%rcx,%r15,1),%rcx + movq %r11,%r12 + vmovdqa %ymm10,64(%rsp) + vpalignr $8,%ymm3,%ymm4,%ymm8 + addq 96+256(%rsp),%rbx + andq %r10,%r12 + rorxq $41,%r10,%r13 + vpalignr $8,%ymm7,%ymm0,%ymm11 + rorxq $18,%r10,%r15 + leaq (%rcx,%r14,1),%rcx + leaq (%rbx,%r12,1),%rbx + vpsrlq $1,%ymm8,%ymm10 + andnq %rax,%r10,%r12 + xorq %r15,%r13 + rorxq $14,%r10,%r14 + vpaddq %ymm11,%ymm3,%ymm3 + vpsrlq $7,%ymm8,%ymm11 + leaq (%rbx,%r12,1),%rbx + xorq %r14,%r13 + movq %rcx,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%rcx,%r12 + leaq (%rbx,%r13,1),%rbx + xorq %rdx,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%rcx,%r14 + rorxq $28,%rcx,%r13 + leaq (%r9,%rbx,1),%r9 + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rdx,%rdi + vpsrlq $6,%ymm2,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%rbx,%rdi,1),%rbx + movq %r10,%r12 + vpsllq $3,%ymm2,%ymm10 + vpaddq %ymm8,%ymm3,%ymm3 + addq 104+256(%rsp),%rax + andq %r9,%r12 + rorxq $41,%r9,%r13 + vpsrlq $19,%ymm2,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%r9,%rdi + leaq (%rbx,%r14,1),%rbx + leaq (%rax,%r12,1),%rax + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %r11,%r9,%r12 + xorq %rdi,%r13 + rorxq $14,%r9,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%rax,%r12,1),%rax + xorq %r14,%r13 + movq %rbx,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%rbx,%r12 + leaq (%rax,%r13,1),%rax + xorq %rcx,%rdi + vpaddq %ymm11,%ymm3,%ymm3 + rorxq $34,%rbx,%r14 + rorxq $28,%rbx,%r13 + leaq (%r8,%rax,1),%r8 + vpaddq -32(%rsi),%ymm3,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rcx,%r15 + xorq %r13,%r14 + leaq (%rax,%r15,1),%rax + movq %r9,%r12 + vmovdqa %ymm10,96(%rsp) + leaq -128(%rsp),%rsp + vpalignr $8,%ymm4,%ymm5,%ymm8 + addq 0+256(%rsp),%r11 + andq %r8,%r12 + rorxq $41,%r8,%r13 + vpalignr $8,%ymm0,%ymm1,%ymm11 + rorxq $18,%r8,%r15 + leaq (%rax,%r14,1),%rax + leaq (%r11,%r12,1),%r11 + vpsrlq $1,%ymm8,%ymm10 + andnq %r10,%r8,%r12 + xorq %r15,%r13 + rorxq $14,%r8,%r14 + vpaddq %ymm11,%ymm4,%ymm4 + vpsrlq $7,%ymm8,%ymm11 + leaq (%r11,%r12,1),%r11 + xorq %r14,%r13 + movq %rax,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%rax,%r12 + leaq (%r11,%r13,1),%r11 + xorq %rbx,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%rax,%r14 + rorxq $28,%rax,%r13 + leaq (%rdx,%r11,1),%rdx + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rbx,%rdi + vpsrlq $6,%ymm3,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%r11,%rdi,1),%r11 + movq %r8,%r12 + vpsllq $3,%ymm3,%ymm10 + vpaddq %ymm8,%ymm4,%ymm4 + addq 8+256(%rsp),%r10 + andq %rdx,%r12 + rorxq $41,%rdx,%r13 + vpsrlq $19,%ymm3,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%rdx,%rdi + leaq (%r11,%r14,1),%r11 + leaq (%r10,%r12,1),%r10 + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %r9,%rdx,%r12 + xorq %rdi,%r13 + rorxq $14,%rdx,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%r10,%r12,1),%r10 + xorq %r14,%r13 + movq %r11,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%r11,%r12 + leaq (%r10,%r13,1),%r10 + xorq %rax,%rdi + vpaddq %ymm11,%ymm4,%ymm4 + rorxq $34,%r11,%r14 + rorxq $28,%r11,%r13 + leaq (%rcx,%r10,1),%rcx + vpaddq 0(%rsi),%ymm4,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rax,%r15 + xorq %r13,%r14 + leaq (%r10,%r15,1),%r10 + movq %rdx,%r12 + vmovdqa %ymm10,0(%rsp) + vpalignr $8,%ymm5,%ymm6,%ymm8 + addq 32+256(%rsp),%r9 + andq %rcx,%r12 + rorxq $41,%rcx,%r13 + vpalignr $8,%ymm1,%ymm2,%ymm11 + rorxq $18,%rcx,%r15 + leaq (%r10,%r14,1),%r10 + leaq (%r9,%r12,1),%r9 + vpsrlq $1,%ymm8,%ymm10 + andnq %r8,%rcx,%r12 + xorq %r15,%r13 + rorxq $14,%rcx,%r14 + vpaddq %ymm11,%ymm5,%ymm5 + vpsrlq $7,%ymm8,%ymm11 + leaq (%r9,%r12,1),%r9 + xorq %r14,%r13 + movq %r10,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%r10,%r12 + leaq (%r9,%r13,1),%r9 + xorq %r11,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%r10,%r14 + rorxq $28,%r10,%r13 + leaq (%rbx,%r9,1),%rbx + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r11,%rdi + vpsrlq $6,%ymm4,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%r9,%rdi,1),%r9 + movq %rcx,%r12 + vpsllq $3,%ymm4,%ymm10 + vpaddq %ymm8,%ymm5,%ymm5 + addq 40+256(%rsp),%r8 + andq %rbx,%r12 + rorxq $41,%rbx,%r13 + vpsrlq $19,%ymm4,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%rbx,%rdi + leaq (%r9,%r14,1),%r9 + leaq (%r8,%r12,1),%r8 + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %rdx,%rbx,%r12 + xorq %rdi,%r13 + rorxq $14,%rbx,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%r8,%r12,1),%r8 + xorq %r14,%r13 + movq %r9,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%r9,%r12 + leaq (%r8,%r13,1),%r8 + xorq %r10,%rdi + vpaddq %ymm11,%ymm5,%ymm5 + rorxq $34,%r9,%r14 + rorxq $28,%r9,%r13 + leaq (%rax,%r8,1),%rax + vpaddq 32(%rsi),%ymm5,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r10,%r15 + xorq %r13,%r14 + leaq (%r8,%r15,1),%r8 + movq %rbx,%r12 + vmovdqa %ymm10,32(%rsp) + vpalignr $8,%ymm6,%ymm7,%ymm8 + addq 64+256(%rsp),%rdx + andq %rax,%r12 + rorxq $41,%rax,%r13 + vpalignr $8,%ymm2,%ymm3,%ymm11 + rorxq $18,%rax,%r15 + leaq (%r8,%r14,1),%r8 + leaq (%rdx,%r12,1),%rdx + vpsrlq $1,%ymm8,%ymm10 + andnq %rcx,%rax,%r12 + xorq %r15,%r13 + rorxq $14,%rax,%r14 + vpaddq %ymm11,%ymm6,%ymm6 + vpsrlq $7,%ymm8,%ymm11 + leaq (%rdx,%r12,1),%rdx + xorq %r14,%r13 + movq %r8,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%r8,%r12 + leaq (%rdx,%r13,1),%rdx + xorq %r9,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%r8,%r14 + rorxq $28,%r8,%r13 + leaq (%r11,%rdx,1),%r11 + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r9,%rdi + vpsrlq $6,%ymm5,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%rdx,%rdi,1),%rdx + movq %rax,%r12 + vpsllq $3,%ymm5,%ymm10 + vpaddq %ymm8,%ymm6,%ymm6 + addq 72+256(%rsp),%rcx + andq %r11,%r12 + rorxq $41,%r11,%r13 + vpsrlq $19,%ymm5,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%r11,%rdi + leaq (%rdx,%r14,1),%rdx + leaq (%rcx,%r12,1),%rcx + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %rbx,%r11,%r12 + xorq %rdi,%r13 + rorxq $14,%r11,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%rcx,%r12,1),%rcx + xorq %r14,%r13 + movq %rdx,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%rdx,%r12 + leaq (%rcx,%r13,1),%rcx + xorq %r8,%rdi + vpaddq %ymm11,%ymm6,%ymm6 + rorxq $34,%rdx,%r14 + rorxq $28,%rdx,%r13 + leaq (%r10,%rcx,1),%r10 + vpaddq 64(%rsi),%ymm6,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r8,%r15 + xorq %r13,%r14 + leaq (%rcx,%r15,1),%rcx + movq %r11,%r12 + vmovdqa %ymm10,64(%rsp) + vpalignr $8,%ymm7,%ymm0,%ymm8 + addq 96+256(%rsp),%rbx + andq %r10,%r12 + rorxq $41,%r10,%r13 + vpalignr $8,%ymm3,%ymm4,%ymm11 + rorxq $18,%r10,%r15 + leaq (%rcx,%r14,1),%rcx + leaq (%rbx,%r12,1),%rbx + vpsrlq $1,%ymm8,%ymm10 + andnq %rax,%r10,%r12 + xorq %r15,%r13 + rorxq $14,%r10,%r14 + vpaddq %ymm11,%ymm7,%ymm7 + vpsrlq $7,%ymm8,%ymm11 + leaq (%rbx,%r12,1),%rbx + xorq %r14,%r13 + movq %rcx,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%rcx,%r12 + leaq (%rbx,%r13,1),%rbx + xorq %rdx,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%rcx,%r14 + rorxq $28,%rcx,%r13 + leaq (%r9,%rbx,1),%r9 + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rdx,%rdi + vpsrlq $6,%ymm6,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%rbx,%rdi,1),%rbx + movq %r10,%r12 + vpsllq $3,%ymm6,%ymm10 + vpaddq %ymm8,%ymm7,%ymm7 + addq 104+256(%rsp),%rax + andq %r9,%r12 + rorxq $41,%r9,%r13 + vpsrlq $19,%ymm6,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%r9,%rdi + leaq (%rbx,%r14,1),%rbx + leaq (%rax,%r12,1),%rax + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %r11,%r9,%r12 + xorq %rdi,%r13 + rorxq $14,%r9,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%rax,%r12,1),%rax + xorq %r14,%r13 + movq %rbx,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%rbx,%r12 + leaq (%rax,%r13,1),%rax + xorq %rcx,%rdi + vpaddq %ymm11,%ymm7,%ymm7 + rorxq $34,%rbx,%r14 + rorxq $28,%rbx,%r13 + leaq (%r8,%rax,1),%r8 + vpaddq 96(%rsi),%ymm7,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rcx,%r15 + xorq %r13,%r14 + leaq (%rax,%r15,1),%rax + movq %r9,%r12 + vmovdqa %ymm10,96(%rsp) + leaq 256(%rsi),%rsi + cmpb $0,-121(%rsi) + jne L$avx2_00_47 + addq 0+128(%rsp),%r11 + andq %r8,%r12 + rorxq $41,%r8,%r13 + rorxq $18,%r8,%r15 + leaq (%rax,%r14,1),%rax + leaq (%r11,%r12,1),%r11 + andnq %r10,%r8,%r12 + xorq %r15,%r13 + rorxq $14,%r8,%r14 + leaq (%r11,%r12,1),%r11 + xorq %r14,%r13 + movq %rax,%r15 + rorxq $39,%rax,%r12 + leaq (%r11,%r13,1),%r11 + xorq %rbx,%r15 + rorxq $34,%rax,%r14 + rorxq $28,%rax,%r13 + leaq (%rdx,%r11,1),%rdx + andq %r15,%rdi + xorq %r12,%r14 + xorq %rbx,%rdi + xorq %r13,%r14 + leaq (%r11,%rdi,1),%r11 + movq %r8,%r12 + addq 8+128(%rsp),%r10 + andq %rdx,%r12 + rorxq $41,%rdx,%r13 + rorxq $18,%rdx,%rdi + leaq (%r11,%r14,1),%r11 + leaq (%r10,%r12,1),%r10 + andnq %r9,%rdx,%r12 + xorq %rdi,%r13 + rorxq $14,%rdx,%r14 + leaq (%r10,%r12,1),%r10 + xorq %r14,%r13 + movq %r11,%rdi + rorxq $39,%r11,%r12 + leaq (%r10,%r13,1),%r10 + xorq %rax,%rdi + rorxq $34,%r11,%r14 + rorxq $28,%r11,%r13 + leaq (%rcx,%r10,1),%rcx + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rax,%r15 + xorq %r13,%r14 + leaq (%r10,%r15,1),%r10 + movq %rdx,%r12 + addq 32+128(%rsp),%r9 + andq %rcx,%r12 + rorxq $41,%rcx,%r13 + rorxq $18,%rcx,%r15 + leaq (%r10,%r14,1),%r10 + leaq (%r9,%r12,1),%r9 + andnq %r8,%rcx,%r12 + xorq %r15,%r13 + rorxq $14,%rcx,%r14 + leaq (%r9,%r12,1),%r9 + xorq %r14,%r13 + movq %r10,%r15 + rorxq $39,%r10,%r12 + leaq (%r9,%r13,1),%r9 + xorq %r11,%r15 + rorxq $34,%r10,%r14 + rorxq $28,%r10,%r13 + leaq (%rbx,%r9,1),%rbx + andq %r15,%rdi + xorq %r12,%r14 + xorq %r11,%rdi + xorq %r13,%r14 + leaq (%r9,%rdi,1),%r9 + movq %rcx,%r12 + addq 40+128(%rsp),%r8 + andq %rbx,%r12 + rorxq $41,%rbx,%r13 + rorxq $18,%rbx,%rdi + leaq (%r9,%r14,1),%r9 + leaq (%r8,%r12,1),%r8 + andnq %rdx,%rbx,%r12 + xorq %rdi,%r13 + rorxq $14,%rbx,%r14 + leaq (%r8,%r12,1),%r8 + xorq %r14,%r13 + movq %r9,%rdi + rorxq $39,%r9,%r12 + leaq (%r8,%r13,1),%r8 + xorq %r10,%rdi + rorxq $34,%r9,%r14 + rorxq $28,%r9,%r13 + leaq (%rax,%r8,1),%rax + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r10,%r15 + xorq %r13,%r14 + leaq (%r8,%r15,1),%r8 + movq %rbx,%r12 + addq 64+128(%rsp),%rdx + andq %rax,%r12 + rorxq $41,%rax,%r13 + rorxq $18,%rax,%r15 + leaq (%r8,%r14,1),%r8 + leaq (%rdx,%r12,1),%rdx + andnq %rcx,%rax,%r12 + xorq %r15,%r13 + rorxq $14,%rax,%r14 + leaq (%rdx,%r12,1),%rdx + xorq %r14,%r13 + movq %r8,%r15 + rorxq $39,%r8,%r12 + leaq (%rdx,%r13,1),%rdx + xorq %r9,%r15 + rorxq $34,%r8,%r14 + rorxq $28,%r8,%r13 + leaq (%r11,%rdx,1),%r11 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r9,%rdi + xorq %r13,%r14 + leaq (%rdx,%rdi,1),%rdx + movq %rax,%r12 + addq 72+128(%rsp),%rcx + andq %r11,%r12 + rorxq $41,%r11,%r13 + rorxq $18,%r11,%rdi + leaq (%rdx,%r14,1),%rdx + leaq (%rcx,%r12,1),%rcx + andnq %rbx,%r11,%r12 + xorq %rdi,%r13 + rorxq $14,%r11,%r14 + leaq (%rcx,%r12,1),%rcx + xorq %r14,%r13 + movq %rdx,%rdi + rorxq $39,%rdx,%r12 + leaq (%rcx,%r13,1),%rcx + xorq %r8,%rdi + rorxq $34,%rdx,%r14 + rorxq $28,%rdx,%r13 + leaq (%r10,%rcx,1),%r10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r8,%r15 + xorq %r13,%r14 + leaq (%rcx,%r15,1),%rcx + movq %r11,%r12 + addq 96+128(%rsp),%rbx + andq %r10,%r12 + rorxq $41,%r10,%r13 + rorxq $18,%r10,%r15 + leaq (%rcx,%r14,1),%rcx + leaq (%rbx,%r12,1),%rbx + andnq %rax,%r10,%r12 + xorq %r15,%r13 + rorxq $14,%r10,%r14 + leaq (%rbx,%r12,1),%rbx + xorq %r14,%r13 + movq %rcx,%r15 + rorxq $39,%rcx,%r12 + leaq (%rbx,%r13,1),%rbx + xorq %rdx,%r15 + rorxq $34,%rcx,%r14 + rorxq $28,%rcx,%r13 + leaq (%r9,%rbx,1),%r9 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rdx,%rdi + xorq %r13,%r14 + leaq (%rbx,%rdi,1),%rbx + movq %r10,%r12 + addq 104+128(%rsp),%rax + andq %r9,%r12 + rorxq $41,%r9,%r13 + rorxq $18,%r9,%rdi + leaq (%rbx,%r14,1),%rbx + leaq (%rax,%r12,1),%rax + andnq %r11,%r9,%r12 + xorq %rdi,%r13 + rorxq $14,%r9,%r14 + leaq (%rax,%r12,1),%rax + xorq %r14,%r13 + movq %rbx,%rdi + rorxq $39,%rbx,%r12 + leaq (%rax,%r13,1),%rax + xorq %rcx,%rdi + rorxq $34,%rbx,%r14 + rorxq $28,%rbx,%r13 + leaq (%r8,%rax,1),%r8 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rcx,%r15 + xorq %r13,%r14 + leaq (%rax,%r15,1),%rax + movq %r9,%r12 + addq 0(%rsp),%r11 + andq %r8,%r12 + rorxq $41,%r8,%r13 + rorxq $18,%r8,%r15 + leaq (%rax,%r14,1),%rax + leaq (%r11,%r12,1),%r11 + andnq %r10,%r8,%r12 + xorq %r15,%r13 + rorxq $14,%r8,%r14 + leaq (%r11,%r12,1),%r11 + xorq %r14,%r13 + movq %rax,%r15 + rorxq $39,%rax,%r12 + leaq (%r11,%r13,1),%r11 + xorq %rbx,%r15 + rorxq $34,%rax,%r14 + rorxq $28,%rax,%r13 + leaq (%rdx,%r11,1),%rdx + andq %r15,%rdi + xorq %r12,%r14 + xorq %rbx,%rdi + xorq %r13,%r14 + leaq (%r11,%rdi,1),%r11 + movq %r8,%r12 + addq 8(%rsp),%r10 + andq %rdx,%r12 + rorxq $41,%rdx,%r13 + rorxq $18,%rdx,%rdi + leaq (%r11,%r14,1),%r11 + leaq (%r10,%r12,1),%r10 + andnq %r9,%rdx,%r12 + xorq %rdi,%r13 + rorxq $14,%rdx,%r14 + leaq (%r10,%r12,1),%r10 + xorq %r14,%r13 + movq %r11,%rdi + rorxq $39,%r11,%r12 + leaq (%r10,%r13,1),%r10 + xorq %rax,%rdi + rorxq $34,%r11,%r14 + rorxq $28,%r11,%r13 + leaq (%rcx,%r10,1),%rcx + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rax,%r15 + xorq %r13,%r14 + leaq (%r10,%r15,1),%r10 + movq %rdx,%r12 + addq 32(%rsp),%r9 + andq %rcx,%r12 + rorxq $41,%rcx,%r13 + rorxq $18,%rcx,%r15 + leaq (%r10,%r14,1),%r10 + leaq (%r9,%r12,1),%r9 + andnq %r8,%rcx,%r12 + xorq %r15,%r13 + rorxq $14,%rcx,%r14 + leaq (%r9,%r12,1),%r9 + xorq %r14,%r13 + movq %r10,%r15 + rorxq $39,%r10,%r12 + leaq (%r9,%r13,1),%r9 + xorq %r11,%r15 + rorxq $34,%r10,%r14 + rorxq $28,%r10,%r13 + leaq (%rbx,%r9,1),%rbx + andq %r15,%rdi + xorq %r12,%r14 + xorq %r11,%rdi + xorq %r13,%r14 + leaq (%r9,%rdi,1),%r9 + movq %rcx,%r12 + addq 40(%rsp),%r8 + andq %rbx,%r12 + rorxq $41,%rbx,%r13 + rorxq $18,%rbx,%rdi + leaq (%r9,%r14,1),%r9 + leaq (%r8,%r12,1),%r8 + andnq %rdx,%rbx,%r12 + xorq %rdi,%r13 + rorxq $14,%rbx,%r14 + leaq (%r8,%r12,1),%r8 + xorq %r14,%r13 + movq %r9,%rdi + rorxq $39,%r9,%r12 + leaq (%r8,%r13,1),%r8 + xorq %r10,%rdi + rorxq $34,%r9,%r14 + rorxq $28,%r9,%r13 + leaq (%rax,%r8,1),%rax + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r10,%r15 + xorq %r13,%r14 + leaq (%r8,%r15,1),%r8 + movq %rbx,%r12 + addq 64(%rsp),%rdx + andq %rax,%r12 + rorxq $41,%rax,%r13 + rorxq $18,%rax,%r15 + leaq (%r8,%r14,1),%r8 + leaq (%rdx,%r12,1),%rdx + andnq %rcx,%rax,%r12 + xorq %r15,%r13 + rorxq $14,%rax,%r14 + leaq (%rdx,%r12,1),%rdx + xorq %r14,%r13 + movq %r8,%r15 + rorxq $39,%r8,%r12 + leaq (%rdx,%r13,1),%rdx + xorq %r9,%r15 + rorxq $34,%r8,%r14 + rorxq $28,%r8,%r13 + leaq (%r11,%rdx,1),%r11 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r9,%rdi + xorq %r13,%r14 + leaq (%rdx,%rdi,1),%rdx + movq %rax,%r12 + addq 72(%rsp),%rcx + andq %r11,%r12 + rorxq $41,%r11,%r13 + rorxq $18,%r11,%rdi + leaq (%rdx,%r14,1),%rdx + leaq (%rcx,%r12,1),%rcx + andnq %rbx,%r11,%r12 + xorq %rdi,%r13 + rorxq $14,%r11,%r14 + leaq (%rcx,%r12,1),%rcx + xorq %r14,%r13 + movq %rdx,%rdi + rorxq $39,%rdx,%r12 + leaq (%rcx,%r13,1),%rcx + xorq %r8,%rdi + rorxq $34,%rdx,%r14 + rorxq $28,%rdx,%r13 + leaq (%r10,%rcx,1),%r10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r8,%r15 + xorq %r13,%r14 + leaq (%rcx,%r15,1),%rcx + movq %r11,%r12 + addq 96(%rsp),%rbx + andq %r10,%r12 + rorxq $41,%r10,%r13 + rorxq $18,%r10,%r15 + leaq (%rcx,%r14,1),%rcx + leaq (%rbx,%r12,1),%rbx + andnq %rax,%r10,%r12 + xorq %r15,%r13 + rorxq $14,%r10,%r14 + leaq (%rbx,%r12,1),%rbx + xorq %r14,%r13 + movq %rcx,%r15 + rorxq $39,%rcx,%r12 + leaq (%rbx,%r13,1),%rbx + xorq %rdx,%r15 + rorxq $34,%rcx,%r14 + rorxq $28,%rcx,%r13 + leaq (%r9,%rbx,1),%r9 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rdx,%rdi + xorq %r13,%r14 + leaq (%rbx,%rdi,1),%rbx + movq %r10,%r12 + addq 104(%rsp),%rax + andq %r9,%r12 + rorxq $41,%r9,%r13 + rorxq $18,%r9,%rdi + leaq (%rbx,%r14,1),%rbx + leaq (%rax,%r12,1),%rax + andnq %r11,%r9,%r12 + xorq %rdi,%r13 + rorxq $14,%r9,%r14 + leaq (%rax,%r12,1),%rax + xorq %r14,%r13 + movq %rbx,%rdi + rorxq $39,%rbx,%r12 + leaq (%rax,%r13,1),%rax + xorq %rcx,%rdi + rorxq $34,%rbx,%r14 + rorxq $28,%rbx,%r13 + leaq (%r8,%rax,1),%r8 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rcx,%r15 + xorq %r13,%r14 + leaq (%rax,%r15,1),%rax + movq %r9,%r12 + movq -64(%rbp),%rdi + addq %r14,%rax + movq -56(%rbp),%r12 + + addq 0(%rdi),%rax + addq 8(%rdi),%rbx + addq 16(%rdi),%rcx + addq 24(%rdi),%rdx + addq 32(%rdi),%r8 + addq 40(%rdi),%r9 + addq 48(%rdi),%r10 + addq 56(%rdi),%r11 + + movq %rax,0(%rdi) + movq %rbx,8(%rdi) + movq %rcx,16(%rdi) + movq %rdx,24(%rdi) + movq %r8,32(%rdi) + movq %r9,40(%rdi) + movq %r10,48(%rdi) + movq %r11,56(%rdi) + + cmpq -48(%rbp),%r12 + je L$done_avx2 + + leaq 1152(%rsp),%rsi + xorq %r14,%r14 + movq %rbx,%rdi + xorq %rcx,%rdi + movq %r9,%r12 + jmp L$ower_avx2 +.p2align 4 +L$ower_avx2: + addq 0+16(%rsi),%r11 + andq %r8,%r12 + rorxq $41,%r8,%r13 + rorxq $18,%r8,%r15 + leaq (%rax,%r14,1),%rax + leaq (%r11,%r12,1),%r11 + andnq %r10,%r8,%r12 + xorq %r15,%r13 + rorxq $14,%r8,%r14 + leaq (%r11,%r12,1),%r11 + xorq %r14,%r13 + movq %rax,%r15 + rorxq $39,%rax,%r12 + leaq (%r11,%r13,1),%r11 + xorq %rbx,%r15 + rorxq $34,%rax,%r14 + rorxq $28,%rax,%r13 + leaq (%rdx,%r11,1),%rdx + andq %r15,%rdi + xorq %r12,%r14 + xorq %rbx,%rdi + xorq %r13,%r14 + leaq (%r11,%rdi,1),%r11 + movq %r8,%r12 + addq 8+16(%rsi),%r10 + andq %rdx,%r12 + rorxq $41,%rdx,%r13 + rorxq $18,%rdx,%rdi + leaq (%r11,%r14,1),%r11 + leaq (%r10,%r12,1),%r10 + andnq %r9,%rdx,%r12 + xorq %rdi,%r13 + rorxq $14,%rdx,%r14 + leaq (%r10,%r12,1),%r10 + xorq %r14,%r13 + movq %r11,%rdi + rorxq $39,%r11,%r12 + leaq (%r10,%r13,1),%r10 + xorq %rax,%rdi + rorxq $34,%r11,%r14 + rorxq $28,%r11,%r13 + leaq (%rcx,%r10,1),%rcx + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rax,%r15 + xorq %r13,%r14 + leaq (%r10,%r15,1),%r10 + movq %rdx,%r12 + addq 32+16(%rsi),%r9 + andq %rcx,%r12 + rorxq $41,%rcx,%r13 + rorxq $18,%rcx,%r15 + leaq (%r10,%r14,1),%r10 + leaq (%r9,%r12,1),%r9 + andnq %r8,%rcx,%r12 + xorq %r15,%r13 + rorxq $14,%rcx,%r14 + leaq (%r9,%r12,1),%r9 + xorq %r14,%r13 + movq %r10,%r15 + rorxq $39,%r10,%r12 + leaq (%r9,%r13,1),%r9 + xorq %r11,%r15 + rorxq $34,%r10,%r14 + rorxq $28,%r10,%r13 + leaq (%rbx,%r9,1),%rbx + andq %r15,%rdi + xorq %r12,%r14 + xorq %r11,%rdi + xorq %r13,%r14 + leaq (%r9,%rdi,1),%r9 + movq %rcx,%r12 + addq 40+16(%rsi),%r8 + andq %rbx,%r12 + rorxq $41,%rbx,%r13 + rorxq $18,%rbx,%rdi + leaq (%r9,%r14,1),%r9 + leaq (%r8,%r12,1),%r8 + andnq %rdx,%rbx,%r12 + xorq %rdi,%r13 + rorxq $14,%rbx,%r14 + leaq (%r8,%r12,1),%r8 + xorq %r14,%r13 + movq %r9,%rdi + rorxq $39,%r9,%r12 + leaq (%r8,%r13,1),%r8 + xorq %r10,%rdi + rorxq $34,%r9,%r14 + rorxq $28,%r9,%r13 + leaq (%rax,%r8,1),%rax + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r10,%r15 + xorq %r13,%r14 + leaq (%r8,%r15,1),%r8 + movq %rbx,%r12 + addq 64+16(%rsi),%rdx + andq %rax,%r12 + rorxq $41,%rax,%r13 + rorxq $18,%rax,%r15 + leaq (%r8,%r14,1),%r8 + leaq (%rdx,%r12,1),%rdx + andnq %rcx,%rax,%r12 + xorq %r15,%r13 + rorxq $14,%rax,%r14 + leaq (%rdx,%r12,1),%rdx + xorq %r14,%r13 + movq %r8,%r15 + rorxq $39,%r8,%r12 + leaq (%rdx,%r13,1),%rdx + xorq %r9,%r15 + rorxq $34,%r8,%r14 + rorxq $28,%r8,%r13 + leaq (%r11,%rdx,1),%r11 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r9,%rdi + xorq %r13,%r14 + leaq (%rdx,%rdi,1),%rdx + movq %rax,%r12 + addq 72+16(%rsi),%rcx + andq %r11,%r12 + rorxq $41,%r11,%r13 + rorxq $18,%r11,%rdi + leaq (%rdx,%r14,1),%rdx + leaq (%rcx,%r12,1),%rcx + andnq %rbx,%r11,%r12 + xorq %rdi,%r13 + rorxq $14,%r11,%r14 + leaq (%rcx,%r12,1),%rcx + xorq %r14,%r13 + movq %rdx,%rdi + rorxq $39,%rdx,%r12 + leaq (%rcx,%r13,1),%rcx + xorq %r8,%rdi + rorxq $34,%rdx,%r14 + rorxq $28,%rdx,%r13 + leaq (%r10,%rcx,1),%r10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r8,%r15 + xorq %r13,%r14 + leaq (%rcx,%r15,1),%rcx + movq %r11,%r12 + addq 96+16(%rsi),%rbx + andq %r10,%r12 + rorxq $41,%r10,%r13 + rorxq $18,%r10,%r15 + leaq (%rcx,%r14,1),%rcx + leaq (%rbx,%r12,1),%rbx + andnq %rax,%r10,%r12 + xorq %r15,%r13 + rorxq $14,%r10,%r14 + leaq (%rbx,%r12,1),%rbx + xorq %r14,%r13 + movq %rcx,%r15 + rorxq $39,%rcx,%r12 + leaq (%rbx,%r13,1),%rbx + xorq %rdx,%r15 + rorxq $34,%rcx,%r14 + rorxq $28,%rcx,%r13 + leaq (%r9,%rbx,1),%r9 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rdx,%rdi + xorq %r13,%r14 + leaq (%rbx,%rdi,1),%rbx + movq %r10,%r12 + addq 104+16(%rsi),%rax + andq %r9,%r12 + rorxq $41,%r9,%r13 + rorxq $18,%r9,%rdi + leaq (%rbx,%r14,1),%rbx + leaq (%rax,%r12,1),%rax + andnq %r11,%r9,%r12 + xorq %rdi,%r13 + rorxq $14,%r9,%r14 + leaq (%rax,%r12,1),%rax + xorq %r14,%r13 + movq %rbx,%rdi + rorxq $39,%rbx,%r12 + leaq (%rax,%r13,1),%rax + xorq %rcx,%rdi + rorxq $34,%rbx,%r14 + rorxq $28,%rbx,%r13 + leaq (%r8,%rax,1),%r8 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rcx,%r15 + xorq %r13,%r14 + leaq (%rax,%r15,1),%rax + movq %r9,%r12 + leaq -128(%rsi),%rsi + cmpq %rsp,%rsi + jae L$ower_avx2 + + movq -64(%rbp),%rdi + addq %r14,%rax + movq -56(%rbp),%rsi + leaq 1152(%rsp),%rsp + + addq 0(%rdi),%rax + addq 8(%rdi),%rbx + addq 16(%rdi),%rcx + addq 24(%rdi),%rdx + addq 32(%rdi),%r8 + addq 40(%rdi),%r9 + leaq 256(%rsi),%rsi + addq 48(%rdi),%r10 + movq %rsi,%r12 + addq 56(%rdi),%r11 + cmpq -48(%rbp),%rsi + + movq %rax,0(%rdi) + cmoveq %rsp,%r12 + movq %rbx,8(%rdi) + movq %rcx,16(%rdi) + movq %rdx,24(%rdi) + movq %r8,32(%rdi) + movq %r9,40(%rdi) + movq %r10,48(%rdi) + movq %r11,56(%rdi) + + jbe L$oop_avx2 + +L$done_avx2: + vzeroupper + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp +.cfi_def_cfa_register %rsp + popq %rbp +.cfi_adjust_cfa_offset -8 +.cfi_restore %rbp +.cfi_restore %r12 +.cfi_restore %r13 +.cfi_restore %r14 +.cfi_restore %r15 +.cfi_restore %rbx + .byte 0xf3,0xc3 +.cfi_endproc + diff --git a/cbits/asm/sha512-x86_64-mingw64.S b/cbits/asm/sha512-x86_64-mingw64.S new file mode 100644 --- /dev/null +++ b/cbits/asm/sha512-x86_64-mingw64.S @@ -0,0 +1,6016 @@ +.text + + +.globl crypton_sha512_asm_block_data_order +.def crypton_sha512_asm_block_data_order; .scl 2; .type 32; .endef +.p2align 4 +crypton_sha512_asm_block_data_order: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%r11 +.LSEH_begin_crypton_sha512_asm_block_data_order: + + + pushq %rbp + + movq %rsp,%rbp + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx + leaq crypton_ia32cap_P(%rip),%rax + movl 0(%rax),%r9d + movl 4(%rax),%r10d + movl 8(%rax),%eax + testl $2048,%r10d + jnz .Lxop_shortcut + andl $296,%eax + cmpl $296,%eax + je .Lavx2_shortcut + andl $1073741824,%r9d + andl $268435968,%r10d + orl %r9d,%r10d + cmpl $1342177792,%r10d + je .Lavx_shortcut + pushq %rbx + + pushq %r12 + + pushq %r13 + + pushq %r14 + + pushq %r15 + + shlq $4,%rdx + subq $128+24,%rsp + + +.LSEH_body_crypton_sha512_asm_block_data_order: + + leaq (%rsi,%rdx,8),%rdx + movq %rdi,128+0(%rsp) + movq %rsi,128+8(%rsp) + movq %rdx,128+16(%rsp) + + movq 0(%rdi),%rax + movq 8(%rdi),%rbx + movq 16(%rdi),%rcx + movq 24(%rdi),%rdx + movq 32(%rdi),%r8 + movq 40(%rdi),%r9 + movq 48(%rdi),%r10 + movq 56(%rdi),%r11 + jmp .Lloop + +.p2align 4 +.Lloop: + movq %rbx,%rdi + leaq K512(%rip),%rbp + xorq %rcx,%rdi + movq 0(%rsi),%r12 + movq %r8,%r13 + movq %rax,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r9,%r15 + + xorq %r8,%r13 + rorq $5,%r14 + xorq %r10,%r15 + + movq %r12,0(%rsp) + xorq %rax,%r14 + andq %r8,%r15 + + rorq $4,%r13 + addq %r11,%r12 + xorq %r10,%r15 + + rorq $6,%r14 + xorq %r8,%r13 + addq %r15,%r12 + + movq %rax,%r15 + addq (%rbp),%r12 + xorq %rax,%r14 + + xorq %rbx,%r15 + rorq $14,%r13 + movq %rbx,%r11 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r11 + addq %r12,%rdx + addq %r12,%r11 + + leaq 8(%rbp),%rbp + addq %r14,%r11 + movq 8(%rsi),%r12 + movq %rdx,%r13 + movq %r11,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r8,%rdi + + xorq %rdx,%r13 + rorq $5,%r14 + xorq %r9,%rdi + + movq %r12,8(%rsp) + xorq %r11,%r14 + andq %rdx,%rdi + + rorq $4,%r13 + addq %r10,%r12 + xorq %r9,%rdi + + rorq $6,%r14 + xorq %rdx,%r13 + addq %rdi,%r12 + + movq %r11,%rdi + addq (%rbp),%r12 + xorq %r11,%r14 + + xorq %rax,%rdi + rorq $14,%r13 + movq %rax,%r10 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r10 + addq %r12,%rcx + addq %r12,%r10 + + leaq 24(%rbp),%rbp + addq %r14,%r10 + movq 16(%rsi),%r12 + movq %rcx,%r13 + movq %r10,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rdx,%r15 + + xorq %rcx,%r13 + rorq $5,%r14 + xorq %r8,%r15 + + movq %r12,16(%rsp) + xorq %r10,%r14 + andq %rcx,%r15 + + rorq $4,%r13 + addq %r9,%r12 + xorq %r8,%r15 + + rorq $6,%r14 + xorq %rcx,%r13 + addq %r15,%r12 + + movq %r10,%r15 + addq (%rbp),%r12 + xorq %r10,%r14 + + xorq %r11,%r15 + rorq $14,%r13 + movq %r11,%r9 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r9 + addq %r12,%rbx + addq %r12,%r9 + + leaq 8(%rbp),%rbp + addq %r14,%r9 + movq 24(%rsi),%r12 + movq %rbx,%r13 + movq %r9,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rcx,%rdi + + xorq %rbx,%r13 + rorq $5,%r14 + xorq %rdx,%rdi + + movq %r12,24(%rsp) + xorq %r9,%r14 + andq %rbx,%rdi + + rorq $4,%r13 + addq %r8,%r12 + xorq %rdx,%rdi + + rorq $6,%r14 + xorq %rbx,%r13 + addq %rdi,%r12 + + movq %r9,%rdi + addq (%rbp),%r12 + xorq %r9,%r14 + + xorq %r10,%rdi + rorq $14,%r13 + movq %r10,%r8 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r8 + addq %r12,%rax + addq %r12,%r8 + + leaq 24(%rbp),%rbp + addq %r14,%r8 + movq 32(%rsi),%r12 + movq %rax,%r13 + movq %r8,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rbx,%r15 + + xorq %rax,%r13 + rorq $5,%r14 + xorq %rcx,%r15 + + movq %r12,32(%rsp) + xorq %r8,%r14 + andq %rax,%r15 + + rorq $4,%r13 + addq %rdx,%r12 + xorq %rcx,%r15 + + rorq $6,%r14 + xorq %rax,%r13 + addq %r15,%r12 + + movq %r8,%r15 + addq (%rbp),%r12 + xorq %r8,%r14 + + xorq %r9,%r15 + rorq $14,%r13 + movq %r9,%rdx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rdx + addq %r12,%r11 + addq %r12,%rdx + + leaq 8(%rbp),%rbp + addq %r14,%rdx + movq 40(%rsi),%r12 + movq %r11,%r13 + movq %rdx,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rax,%rdi + + xorq %r11,%r13 + rorq $5,%r14 + xorq %rbx,%rdi + + movq %r12,40(%rsp) + xorq %rdx,%r14 + andq %r11,%rdi + + rorq $4,%r13 + addq %rcx,%r12 + xorq %rbx,%rdi + + rorq $6,%r14 + xorq %r11,%r13 + addq %rdi,%r12 + + movq %rdx,%rdi + addq (%rbp),%r12 + xorq %rdx,%r14 + + xorq %r8,%rdi + rorq $14,%r13 + movq %r8,%rcx + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rcx + addq %r12,%r10 + addq %r12,%rcx + + leaq 24(%rbp),%rbp + addq %r14,%rcx + movq 48(%rsi),%r12 + movq %r10,%r13 + movq %rcx,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r11,%r15 + + xorq %r10,%r13 + rorq $5,%r14 + xorq %rax,%r15 + + movq %r12,48(%rsp) + xorq %rcx,%r14 + andq %r10,%r15 + + rorq $4,%r13 + addq %rbx,%r12 + xorq %rax,%r15 + + rorq $6,%r14 + xorq %r10,%r13 + addq %r15,%r12 + + movq %rcx,%r15 + addq (%rbp),%r12 + xorq %rcx,%r14 + + xorq %rdx,%r15 + rorq $14,%r13 + movq %rdx,%rbx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rbx + addq %r12,%r9 + addq %r12,%rbx + + leaq 8(%rbp),%rbp + addq %r14,%rbx + movq 56(%rsi),%r12 + movq %r9,%r13 + movq %rbx,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r10,%rdi + + xorq %r9,%r13 + rorq $5,%r14 + xorq %r11,%rdi + + movq %r12,56(%rsp) + xorq %rbx,%r14 + andq %r9,%rdi + + rorq $4,%r13 + addq %rax,%r12 + xorq %r11,%rdi + + rorq $6,%r14 + xorq %r9,%r13 + addq %rdi,%r12 + + movq %rbx,%rdi + addq (%rbp),%r12 + xorq %rbx,%r14 + + xorq %rcx,%rdi + rorq $14,%r13 + movq %rcx,%rax + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rax + addq %r12,%r8 + addq %r12,%rax + + leaq 24(%rbp),%rbp + addq %r14,%rax + movq 64(%rsi),%r12 + movq %r8,%r13 + movq %rax,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r9,%r15 + + xorq %r8,%r13 + rorq $5,%r14 + xorq %r10,%r15 + + movq %r12,64(%rsp) + xorq %rax,%r14 + andq %r8,%r15 + + rorq $4,%r13 + addq %r11,%r12 + xorq %r10,%r15 + + rorq $6,%r14 + xorq %r8,%r13 + addq %r15,%r12 + + movq %rax,%r15 + addq (%rbp),%r12 + xorq %rax,%r14 + + xorq %rbx,%r15 + rorq $14,%r13 + movq %rbx,%r11 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r11 + addq %r12,%rdx + addq %r12,%r11 + + leaq 8(%rbp),%rbp + addq %r14,%r11 + movq 72(%rsi),%r12 + movq %rdx,%r13 + movq %r11,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r8,%rdi + + xorq %rdx,%r13 + rorq $5,%r14 + xorq %r9,%rdi + + movq %r12,72(%rsp) + xorq %r11,%r14 + andq %rdx,%rdi + + rorq $4,%r13 + addq %r10,%r12 + xorq %r9,%rdi + + rorq $6,%r14 + xorq %rdx,%r13 + addq %rdi,%r12 + + movq %r11,%rdi + addq (%rbp),%r12 + xorq %r11,%r14 + + xorq %rax,%rdi + rorq $14,%r13 + movq %rax,%r10 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r10 + addq %r12,%rcx + addq %r12,%r10 + + leaq 24(%rbp),%rbp + addq %r14,%r10 + movq 80(%rsi),%r12 + movq %rcx,%r13 + movq %r10,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rdx,%r15 + + xorq %rcx,%r13 + rorq $5,%r14 + xorq %r8,%r15 + + movq %r12,80(%rsp) + xorq %r10,%r14 + andq %rcx,%r15 + + rorq $4,%r13 + addq %r9,%r12 + xorq %r8,%r15 + + rorq $6,%r14 + xorq %rcx,%r13 + addq %r15,%r12 + + movq %r10,%r15 + addq (%rbp),%r12 + xorq %r10,%r14 + + xorq %r11,%r15 + rorq $14,%r13 + movq %r11,%r9 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r9 + addq %r12,%rbx + addq %r12,%r9 + + leaq 8(%rbp),%rbp + addq %r14,%r9 + movq 88(%rsi),%r12 + movq %rbx,%r13 + movq %r9,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rcx,%rdi + + xorq %rbx,%r13 + rorq $5,%r14 + xorq %rdx,%rdi + + movq %r12,88(%rsp) + xorq %r9,%r14 + andq %rbx,%rdi + + rorq $4,%r13 + addq %r8,%r12 + xorq %rdx,%rdi + + rorq $6,%r14 + xorq %rbx,%r13 + addq %rdi,%r12 + + movq %r9,%rdi + addq (%rbp),%r12 + xorq %r9,%r14 + + xorq %r10,%rdi + rorq $14,%r13 + movq %r10,%r8 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r8 + addq %r12,%rax + addq %r12,%r8 + + leaq 24(%rbp),%rbp + addq %r14,%r8 + movq 96(%rsi),%r12 + movq %rax,%r13 + movq %r8,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rbx,%r15 + + xorq %rax,%r13 + rorq $5,%r14 + xorq %rcx,%r15 + + movq %r12,96(%rsp) + xorq %r8,%r14 + andq %rax,%r15 + + rorq $4,%r13 + addq %rdx,%r12 + xorq %rcx,%r15 + + rorq $6,%r14 + xorq %rax,%r13 + addq %r15,%r12 + + movq %r8,%r15 + addq (%rbp),%r12 + xorq %r8,%r14 + + xorq %r9,%r15 + rorq $14,%r13 + movq %r9,%rdx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rdx + addq %r12,%r11 + addq %r12,%rdx + + leaq 8(%rbp),%rbp + addq %r14,%rdx + movq 104(%rsi),%r12 + movq %r11,%r13 + movq %rdx,%r14 + bswapq %r12 + rorq $23,%r13 + movq %rax,%rdi + + xorq %r11,%r13 + rorq $5,%r14 + xorq %rbx,%rdi + + movq %r12,104(%rsp) + xorq %rdx,%r14 + andq %r11,%rdi + + rorq $4,%r13 + addq %rcx,%r12 + xorq %rbx,%rdi + + rorq $6,%r14 + xorq %r11,%r13 + addq %rdi,%r12 + + movq %rdx,%rdi + addq (%rbp),%r12 + xorq %rdx,%r14 + + xorq %r8,%rdi + rorq $14,%r13 + movq %r8,%rcx + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rcx + addq %r12,%r10 + addq %r12,%rcx + + leaq 24(%rbp),%rbp + addq %r14,%rcx + movq 112(%rsi),%r12 + movq %r10,%r13 + movq %rcx,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r11,%r15 + + xorq %r10,%r13 + rorq $5,%r14 + xorq %rax,%r15 + + movq %r12,112(%rsp) + xorq %rcx,%r14 + andq %r10,%r15 + + rorq $4,%r13 + addq %rbx,%r12 + xorq %rax,%r15 + + rorq $6,%r14 + xorq %r10,%r13 + addq %r15,%r12 + + movq %rcx,%r15 + addq (%rbp),%r12 + xorq %rcx,%r14 + + xorq %rdx,%r15 + rorq $14,%r13 + movq %rdx,%rbx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rbx + addq %r12,%r9 + addq %r12,%rbx + + leaq 8(%rbp),%rbp + addq %r14,%rbx + movq 120(%rsi),%r12 + movq %r9,%r13 + movq %rbx,%r14 + bswapq %r12 + rorq $23,%r13 + movq %r10,%rdi + + xorq %r9,%r13 + rorq $5,%r14 + xorq %r11,%rdi + + movq %r12,120(%rsp) + xorq %rbx,%r14 + andq %r9,%rdi + + rorq $4,%r13 + addq %rax,%r12 + xorq %r11,%rdi + + rorq $6,%r14 + xorq %r9,%r13 + addq %rdi,%r12 + + movq %rbx,%rdi + addq (%rbp),%r12 + xorq %rbx,%r14 + + xorq %rcx,%rdi + rorq $14,%r13 + movq %rcx,%rax + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rax + addq %r12,%r8 + addq %r12,%rax + + leaq 24(%rbp),%rbp + jmp .Lrounds_16_xx +.p2align 4 +.Lrounds_16_xx: + movq 8(%rsp),%r13 + movq 112(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rax + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 72(%rsp),%r12 + + addq 0(%rsp),%r12 + movq %r8,%r13 + addq %r15,%r12 + movq %rax,%r14 + rorq $23,%r13 + movq %r9,%r15 + + xorq %r8,%r13 + rorq $5,%r14 + xorq %r10,%r15 + + movq %r12,0(%rsp) + xorq %rax,%r14 + andq %r8,%r15 + + rorq $4,%r13 + addq %r11,%r12 + xorq %r10,%r15 + + rorq $6,%r14 + xorq %r8,%r13 + addq %r15,%r12 + + movq %rax,%r15 + addq (%rbp),%r12 + xorq %rax,%r14 + + xorq %rbx,%r15 + rorq $14,%r13 + movq %rbx,%r11 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r11 + addq %r12,%rdx + addq %r12,%r11 + + leaq 8(%rbp),%rbp + movq 16(%rsp),%r13 + movq 120(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r11 + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 80(%rsp),%r12 + + addq 8(%rsp),%r12 + movq %rdx,%r13 + addq %rdi,%r12 + movq %r11,%r14 + rorq $23,%r13 + movq %r8,%rdi + + xorq %rdx,%r13 + rorq $5,%r14 + xorq %r9,%rdi + + movq %r12,8(%rsp) + xorq %r11,%r14 + andq %rdx,%rdi + + rorq $4,%r13 + addq %r10,%r12 + xorq %r9,%rdi + + rorq $6,%r14 + xorq %rdx,%r13 + addq %rdi,%r12 + + movq %r11,%rdi + addq (%rbp),%r12 + xorq %r11,%r14 + + xorq %rax,%rdi + rorq $14,%r13 + movq %rax,%r10 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r10 + addq %r12,%rcx + addq %r12,%r10 + + leaq 24(%rbp),%rbp + movq 24(%rsp),%r13 + movq 0(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r10 + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 88(%rsp),%r12 + + addq 16(%rsp),%r12 + movq %rcx,%r13 + addq %r15,%r12 + movq %r10,%r14 + rorq $23,%r13 + movq %rdx,%r15 + + xorq %rcx,%r13 + rorq $5,%r14 + xorq %r8,%r15 + + movq %r12,16(%rsp) + xorq %r10,%r14 + andq %rcx,%r15 + + rorq $4,%r13 + addq %r9,%r12 + xorq %r8,%r15 + + rorq $6,%r14 + xorq %rcx,%r13 + addq %r15,%r12 + + movq %r10,%r15 + addq (%rbp),%r12 + xorq %r10,%r14 + + xorq %r11,%r15 + rorq $14,%r13 + movq %r11,%r9 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r9 + addq %r12,%rbx + addq %r12,%r9 + + leaq 8(%rbp),%rbp + movq 32(%rsp),%r13 + movq 8(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r9 + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 96(%rsp),%r12 + + addq 24(%rsp),%r12 + movq %rbx,%r13 + addq %rdi,%r12 + movq %r9,%r14 + rorq $23,%r13 + movq %rcx,%rdi + + xorq %rbx,%r13 + rorq $5,%r14 + xorq %rdx,%rdi + + movq %r12,24(%rsp) + xorq %r9,%r14 + andq %rbx,%rdi + + rorq $4,%r13 + addq %r8,%r12 + xorq %rdx,%rdi + + rorq $6,%r14 + xorq %rbx,%r13 + addq %rdi,%r12 + + movq %r9,%rdi + addq (%rbp),%r12 + xorq %r9,%r14 + + xorq %r10,%rdi + rorq $14,%r13 + movq %r10,%r8 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r8 + addq %r12,%rax + addq %r12,%r8 + + leaq 24(%rbp),%rbp + movq 40(%rsp),%r13 + movq 16(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r8 + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 104(%rsp),%r12 + + addq 32(%rsp),%r12 + movq %rax,%r13 + addq %r15,%r12 + movq %r8,%r14 + rorq $23,%r13 + movq %rbx,%r15 + + xorq %rax,%r13 + rorq $5,%r14 + xorq %rcx,%r15 + + movq %r12,32(%rsp) + xorq %r8,%r14 + andq %rax,%r15 + + rorq $4,%r13 + addq %rdx,%r12 + xorq %rcx,%r15 + + rorq $6,%r14 + xorq %rax,%r13 + addq %r15,%r12 + + movq %r8,%r15 + addq (%rbp),%r12 + xorq %r8,%r14 + + xorq %r9,%r15 + rorq $14,%r13 + movq %r9,%rdx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rdx + addq %r12,%r11 + addq %r12,%rdx + + leaq 8(%rbp),%rbp + movq 48(%rsp),%r13 + movq 24(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rdx + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 112(%rsp),%r12 + + addq 40(%rsp),%r12 + movq %r11,%r13 + addq %rdi,%r12 + movq %rdx,%r14 + rorq $23,%r13 + movq %rax,%rdi + + xorq %r11,%r13 + rorq $5,%r14 + xorq %rbx,%rdi + + movq %r12,40(%rsp) + xorq %rdx,%r14 + andq %r11,%rdi + + rorq $4,%r13 + addq %rcx,%r12 + xorq %rbx,%rdi + + rorq $6,%r14 + xorq %r11,%r13 + addq %rdi,%r12 + + movq %rdx,%rdi + addq (%rbp),%r12 + xorq %rdx,%r14 + + xorq %r8,%rdi + rorq $14,%r13 + movq %r8,%rcx + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rcx + addq %r12,%r10 + addq %r12,%rcx + + leaq 24(%rbp),%rbp + movq 56(%rsp),%r13 + movq 32(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rcx + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 120(%rsp),%r12 + + addq 48(%rsp),%r12 + movq %r10,%r13 + addq %r15,%r12 + movq %rcx,%r14 + rorq $23,%r13 + movq %r11,%r15 + + xorq %r10,%r13 + rorq $5,%r14 + xorq %rax,%r15 + + movq %r12,48(%rsp) + xorq %rcx,%r14 + andq %r10,%r15 + + rorq $4,%r13 + addq %rbx,%r12 + xorq %rax,%r15 + + rorq $6,%r14 + xorq %r10,%r13 + addq %r15,%r12 + + movq %rcx,%r15 + addq (%rbp),%r12 + xorq %rcx,%r14 + + xorq %rdx,%r15 + rorq $14,%r13 + movq %rdx,%rbx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rbx + addq %r12,%r9 + addq %r12,%rbx + + leaq 8(%rbp),%rbp + movq 64(%rsp),%r13 + movq 40(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rbx + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 0(%rsp),%r12 + + addq 56(%rsp),%r12 + movq %r9,%r13 + addq %rdi,%r12 + movq %rbx,%r14 + rorq $23,%r13 + movq %r10,%rdi + + xorq %r9,%r13 + rorq $5,%r14 + xorq %r11,%rdi + + movq %r12,56(%rsp) + xorq %rbx,%r14 + andq %r9,%rdi + + rorq $4,%r13 + addq %rax,%r12 + xorq %r11,%rdi + + rorq $6,%r14 + xorq %r9,%r13 + addq %rdi,%r12 + + movq %rbx,%rdi + addq (%rbp),%r12 + xorq %rbx,%r14 + + xorq %rcx,%rdi + rorq $14,%r13 + movq %rcx,%rax + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rax + addq %r12,%r8 + addq %r12,%rax + + leaq 24(%rbp),%rbp + movq 72(%rsp),%r13 + movq 48(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rax + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 8(%rsp),%r12 + + addq 64(%rsp),%r12 + movq %r8,%r13 + addq %r15,%r12 + movq %rax,%r14 + rorq $23,%r13 + movq %r9,%r15 + + xorq %r8,%r13 + rorq $5,%r14 + xorq %r10,%r15 + + movq %r12,64(%rsp) + xorq %rax,%r14 + andq %r8,%r15 + + rorq $4,%r13 + addq %r11,%r12 + xorq %r10,%r15 + + rorq $6,%r14 + xorq %r8,%r13 + addq %r15,%r12 + + movq %rax,%r15 + addq (%rbp),%r12 + xorq %rax,%r14 + + xorq %rbx,%r15 + rorq $14,%r13 + movq %rbx,%r11 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r11 + addq %r12,%rdx + addq %r12,%r11 + + leaq 8(%rbp),%rbp + movq 80(%rsp),%r13 + movq 56(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r11 + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 16(%rsp),%r12 + + addq 72(%rsp),%r12 + movq %rdx,%r13 + addq %rdi,%r12 + movq %r11,%r14 + rorq $23,%r13 + movq %r8,%rdi + + xorq %rdx,%r13 + rorq $5,%r14 + xorq %r9,%rdi + + movq %r12,72(%rsp) + xorq %r11,%r14 + andq %rdx,%rdi + + rorq $4,%r13 + addq %r10,%r12 + xorq %r9,%rdi + + rorq $6,%r14 + xorq %rdx,%r13 + addq %rdi,%r12 + + movq %r11,%rdi + addq (%rbp),%r12 + xorq %r11,%r14 + + xorq %rax,%rdi + rorq $14,%r13 + movq %rax,%r10 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r10 + addq %r12,%rcx + addq %r12,%r10 + + leaq 24(%rbp),%rbp + movq 88(%rsp),%r13 + movq 64(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r10 + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 24(%rsp),%r12 + + addq 80(%rsp),%r12 + movq %rcx,%r13 + addq %r15,%r12 + movq %r10,%r14 + rorq $23,%r13 + movq %rdx,%r15 + + xorq %rcx,%r13 + rorq $5,%r14 + xorq %r8,%r15 + + movq %r12,80(%rsp) + xorq %r10,%r14 + andq %rcx,%r15 + + rorq $4,%r13 + addq %r9,%r12 + xorq %r8,%r15 + + rorq $6,%r14 + xorq %rcx,%r13 + addq %r15,%r12 + + movq %r10,%r15 + addq (%rbp),%r12 + xorq %r10,%r14 + + xorq %r11,%r15 + rorq $14,%r13 + movq %r11,%r9 + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%r9 + addq %r12,%rbx + addq %r12,%r9 + + leaq 8(%rbp),%rbp + movq 96(%rsp),%r13 + movq 72(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r9 + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 32(%rsp),%r12 + + addq 88(%rsp),%r12 + movq %rbx,%r13 + addq %rdi,%r12 + movq %r9,%r14 + rorq $23,%r13 + movq %rcx,%rdi + + xorq %rbx,%r13 + rorq $5,%r14 + xorq %rdx,%rdi + + movq %r12,88(%rsp) + xorq %r9,%r14 + andq %rbx,%rdi + + rorq $4,%r13 + addq %r8,%r12 + xorq %rdx,%rdi + + rorq $6,%r14 + xorq %rbx,%r13 + addq %rdi,%r12 + + movq %r9,%rdi + addq (%rbp),%r12 + xorq %r9,%r14 + + xorq %r10,%rdi + rorq $14,%r13 + movq %r10,%r8 + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%r8 + addq %r12,%rax + addq %r12,%r8 + + leaq 24(%rbp),%rbp + movq 104(%rsp),%r13 + movq 80(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%r8 + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 40(%rsp),%r12 + + addq 96(%rsp),%r12 + movq %rax,%r13 + addq %r15,%r12 + movq %r8,%r14 + rorq $23,%r13 + movq %rbx,%r15 + + xorq %rax,%r13 + rorq $5,%r14 + xorq %rcx,%r15 + + movq %r12,96(%rsp) + xorq %r8,%r14 + andq %rax,%r15 + + rorq $4,%r13 + addq %rdx,%r12 + xorq %rcx,%r15 + + rorq $6,%r14 + xorq %rax,%r13 + addq %r15,%r12 + + movq %r8,%r15 + addq (%rbp),%r12 + xorq %r8,%r14 + + xorq %r9,%r15 + rorq $14,%r13 + movq %r9,%rdx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rdx + addq %r12,%r11 + addq %r12,%rdx + + leaq 8(%rbp),%rbp + movq 112(%rsp),%r13 + movq 88(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rdx + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 48(%rsp),%r12 + + addq 104(%rsp),%r12 + movq %r11,%r13 + addq %rdi,%r12 + movq %rdx,%r14 + rorq $23,%r13 + movq %rax,%rdi + + xorq %r11,%r13 + rorq $5,%r14 + xorq %rbx,%rdi + + movq %r12,104(%rsp) + xorq %rdx,%r14 + andq %r11,%rdi + + rorq $4,%r13 + addq %rcx,%r12 + xorq %rbx,%rdi + + rorq $6,%r14 + xorq %r11,%r13 + addq %rdi,%r12 + + movq %rdx,%rdi + addq (%rbp),%r12 + xorq %rdx,%r14 + + xorq %r8,%rdi + rorq $14,%r13 + movq %r8,%rcx + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rcx + addq %r12,%r10 + addq %r12,%rcx + + leaq 24(%rbp),%rbp + movq 120(%rsp),%r13 + movq 96(%rsp),%r15 + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rcx + movq %r15,%r14 + rorq $42,%r15 + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%r15 + shrq $6,%r14 + + rorq $19,%r15 + xorq %r13,%r12 + xorq %r14,%r15 + addq 56(%rsp),%r12 + + addq 112(%rsp),%r12 + movq %r10,%r13 + addq %r15,%r12 + movq %rcx,%r14 + rorq $23,%r13 + movq %r11,%r15 + + xorq %r10,%r13 + rorq $5,%r14 + xorq %rax,%r15 + + movq %r12,112(%rsp) + xorq %rcx,%r14 + andq %r10,%r15 + + rorq $4,%r13 + addq %rbx,%r12 + xorq %rax,%r15 + + rorq $6,%r14 + xorq %r10,%r13 + addq %r15,%r12 + + movq %rcx,%r15 + addq (%rbp),%r12 + xorq %rcx,%r14 + + xorq %rdx,%r15 + rorq $14,%r13 + movq %rdx,%rbx + + andq %r15,%rdi + rorq $28,%r14 + addq %r13,%r12 + + xorq %rdi,%rbx + addq %r12,%r9 + addq %r12,%rbx + + leaq 8(%rbp),%rbp + movq 0(%rsp),%r13 + movq 104(%rsp),%rdi + + movq %r13,%r12 + rorq $7,%r13 + addq %r14,%rbx + movq %rdi,%r14 + rorq $42,%rdi + + xorq %r12,%r13 + shrq $7,%r12 + rorq $1,%r13 + xorq %r14,%rdi + shrq $6,%r14 + + rorq $19,%rdi + xorq %r13,%r12 + xorq %r14,%rdi + addq 64(%rsp),%r12 + + addq 120(%rsp),%r12 + movq %r9,%r13 + addq %rdi,%r12 + movq %rbx,%r14 + rorq $23,%r13 + movq %r10,%rdi + + xorq %r9,%r13 + rorq $5,%r14 + xorq %r11,%rdi + + movq %r12,120(%rsp) + xorq %rbx,%r14 + andq %r9,%rdi + + rorq $4,%r13 + addq %rax,%r12 + xorq %r11,%rdi + + rorq $6,%r14 + xorq %r9,%r13 + addq %rdi,%r12 + + movq %rbx,%rdi + addq (%rbp),%r12 + xorq %rbx,%r14 + + xorq %rcx,%rdi + rorq $14,%r13 + movq %rcx,%rax + + andq %rdi,%r15 + rorq $28,%r14 + addq %r13,%r12 + + xorq %r15,%rax + addq %r12,%r8 + addq %r12,%rax + + leaq 24(%rbp),%rbp + cmpb $0,7(%rbp) + jnz .Lrounds_16_xx + + movq 128+0(%rsp),%rdi + addq %r14,%rax + leaq 128(%rsi),%rsi + + addq 0(%rdi),%rax + addq 8(%rdi),%rbx + addq 16(%rdi),%rcx + addq 24(%rdi),%rdx + addq 32(%rdi),%r8 + addq 40(%rdi),%r9 + addq 48(%rdi),%r10 + addq 56(%rdi),%r11 + + cmpq 128+16(%rsp),%rsi + + movq %rax,0(%rdi) + movq %rbx,8(%rdi) + movq %rcx,16(%rdi) + movq %rdx,24(%rdi) + movq %r8,32(%rdi) + movq %r9,40(%rdi) + movq %r10,48(%rdi) + movq %r11,56(%rdi) + jb .Lloop + + leaq 128+24+48(%rsp),%r11 + + movq 128+24(%rsp),%r15 + movq -40(%r11),%r14 + movq -32(%r11),%r13 + movq -24(%r11),%r12 + movq -16(%r11),%rbx + movq -8(%r11),%rbp +.LSEH_epilogue_crypton_sha512_asm_block_data_order: + mov 8(%r11),%rdi + mov 16(%r11),%rsi + + leaq (%r11),%rsp + .byte 0xf3,0xc3 + +.LSEH_end_crypton_sha512_asm_block_data_order: +.p2align 6 + +K512: +.quad 0x428a2f98d728ae22,0x7137449123ef65cd +.quad 0x428a2f98d728ae22,0x7137449123ef65cd +.quad 0xb5c0fbcfec4d3b2f,0xe9b5dba58189dbbc +.quad 0xb5c0fbcfec4d3b2f,0xe9b5dba58189dbbc +.quad 0x3956c25bf348b538,0x59f111f1b605d019 +.quad 0x3956c25bf348b538,0x59f111f1b605d019 +.quad 0x923f82a4af194f9b,0xab1c5ed5da6d8118 +.quad 0x923f82a4af194f9b,0xab1c5ed5da6d8118 +.quad 0xd807aa98a3030242,0x12835b0145706fbe +.quad 0xd807aa98a3030242,0x12835b0145706fbe +.quad 0x243185be4ee4b28c,0x550c7dc3d5ffb4e2 +.quad 0x243185be4ee4b28c,0x550c7dc3d5ffb4e2 +.quad 0x72be5d74f27b896f,0x80deb1fe3b1696b1 +.quad 0x72be5d74f27b896f,0x80deb1fe3b1696b1 +.quad 0x9bdc06a725c71235,0xc19bf174cf692694 +.quad 0x9bdc06a725c71235,0xc19bf174cf692694 +.quad 0xe49b69c19ef14ad2,0xefbe4786384f25e3 +.quad 0xe49b69c19ef14ad2,0xefbe4786384f25e3 +.quad 0x0fc19dc68b8cd5b5,0x240ca1cc77ac9c65 +.quad 0x0fc19dc68b8cd5b5,0x240ca1cc77ac9c65 +.quad 0x2de92c6f592b0275,0x4a7484aa6ea6e483 +.quad 0x2de92c6f592b0275,0x4a7484aa6ea6e483 +.quad 0x5cb0a9dcbd41fbd4,0x76f988da831153b5 +.quad 0x5cb0a9dcbd41fbd4,0x76f988da831153b5 +.quad 0x983e5152ee66dfab,0xa831c66d2db43210 +.quad 0x983e5152ee66dfab,0xa831c66d2db43210 +.quad 0xb00327c898fb213f,0xbf597fc7beef0ee4 +.quad 0xb00327c898fb213f,0xbf597fc7beef0ee4 +.quad 0xc6e00bf33da88fc2,0xd5a79147930aa725 +.quad 0xc6e00bf33da88fc2,0xd5a79147930aa725 +.quad 0x06ca6351e003826f,0x142929670a0e6e70 +.quad 0x06ca6351e003826f,0x142929670a0e6e70 +.quad 0x27b70a8546d22ffc,0x2e1b21385c26c926 +.quad 0x27b70a8546d22ffc,0x2e1b21385c26c926 +.quad 0x4d2c6dfc5ac42aed,0x53380d139d95b3df +.quad 0x4d2c6dfc5ac42aed,0x53380d139d95b3df +.quad 0x650a73548baf63de,0x766a0abb3c77b2a8 +.quad 0x650a73548baf63de,0x766a0abb3c77b2a8 +.quad 0x81c2c92e47edaee6,0x92722c851482353b +.quad 0x81c2c92e47edaee6,0x92722c851482353b +.quad 0xa2bfe8a14cf10364,0xa81a664bbc423001 +.quad 0xa2bfe8a14cf10364,0xa81a664bbc423001 +.quad 0xc24b8b70d0f89791,0xc76c51a30654be30 +.quad 0xc24b8b70d0f89791,0xc76c51a30654be30 +.quad 0xd192e819d6ef5218,0xd69906245565a910 +.quad 0xd192e819d6ef5218,0xd69906245565a910 +.quad 0xf40e35855771202a,0x106aa07032bbd1b8 +.quad 0xf40e35855771202a,0x106aa07032bbd1b8 +.quad 0x19a4c116b8d2d0c8,0x1e376c085141ab53 +.quad 0x19a4c116b8d2d0c8,0x1e376c085141ab53 +.quad 0x2748774cdf8eeb99,0x34b0bcb5e19b48a8 +.quad 0x2748774cdf8eeb99,0x34b0bcb5e19b48a8 +.quad 0x391c0cb3c5c95a63,0x4ed8aa4ae3418acb +.quad 0x391c0cb3c5c95a63,0x4ed8aa4ae3418acb +.quad 0x5b9cca4f7763e373,0x682e6ff3d6b2b8a3 +.quad 0x5b9cca4f7763e373,0x682e6ff3d6b2b8a3 +.quad 0x748f82ee5defb2fc,0x78a5636f43172f60 +.quad 0x748f82ee5defb2fc,0x78a5636f43172f60 +.quad 0x84c87814a1f0ab72,0x8cc702081a6439ec +.quad 0x84c87814a1f0ab72,0x8cc702081a6439ec +.quad 0x90befffa23631e28,0xa4506cebde82bde9 +.quad 0x90befffa23631e28,0xa4506cebde82bde9 +.quad 0xbef9a3f7b2c67915,0xc67178f2e372532b +.quad 0xbef9a3f7b2c67915,0xc67178f2e372532b +.quad 0xca273eceea26619c,0xd186b8c721c0c207 +.quad 0xca273eceea26619c,0xd186b8c721c0c207 +.quad 0xeada7dd6cde0eb1e,0xf57d4f7fee6ed178 +.quad 0xeada7dd6cde0eb1e,0xf57d4f7fee6ed178 +.quad 0x06f067aa72176fba,0x0a637dc5a2c898a6 +.quad 0x06f067aa72176fba,0x0a637dc5a2c898a6 +.quad 0x113f9804bef90dae,0x1b710b35131c471b +.quad 0x113f9804bef90dae,0x1b710b35131c471b +.quad 0x28db77f523047d84,0x32caab7b40c72493 +.quad 0x28db77f523047d84,0x32caab7b40c72493 +.quad 0x3c9ebe0a15c9bebc,0x431d67c49c100d4c +.quad 0x3c9ebe0a15c9bebc,0x431d67c49c100d4c +.quad 0x4cc5d4becb3e42b6,0x597f299cfc657e2a +.quad 0x4cc5d4becb3e42b6,0x597f299cfc657e2a +.quad 0x5fcb6fab3ad6faec,0x6c44198c4a475817 +.quad 0x5fcb6fab3ad6faec,0x6c44198c4a475817 + +.quad 0x0001020304050607,0x08090a0b0c0d0e0f +.quad 0x0001020304050607,0x08090a0b0c0d0e0f + +K512_nodup: +.quad 0x428a2f98d728ae22,0x7137449123ef65cd +.quad 0xb5c0fbcfec4d3b2f,0xe9b5dba58189dbbc +.quad 0x3956c25bf348b538,0x59f111f1b605d019 +.quad 0x923f82a4af194f9b,0xab1c5ed5da6d8118 +.quad 0xd807aa98a3030242,0x12835b0145706fbe +.quad 0x243185be4ee4b28c,0x550c7dc3d5ffb4e2 +.quad 0x72be5d74f27b896f,0x80deb1fe3b1696b1 +.quad 0x9bdc06a725c71235,0xc19bf174cf692694 +.quad 0xe49b69c19ef14ad2,0xefbe4786384f25e3 +.quad 0x0fc19dc68b8cd5b5,0x240ca1cc77ac9c65 +.quad 0x2de92c6f592b0275,0x4a7484aa6ea6e483 +.quad 0x5cb0a9dcbd41fbd4,0x76f988da831153b5 +.quad 0x983e5152ee66dfab,0xa831c66d2db43210 +.quad 0xb00327c898fb213f,0xbf597fc7beef0ee4 +.quad 0xc6e00bf33da88fc2,0xd5a79147930aa725 +.quad 0x06ca6351e003826f,0x142929670a0e6e70 +.quad 0x27b70a8546d22ffc,0x2e1b21385c26c926 +.quad 0x4d2c6dfc5ac42aed,0x53380d139d95b3df +.quad 0x650a73548baf63de,0x766a0abb3c77b2a8 +.quad 0x81c2c92e47edaee6,0x92722c851482353b +.quad 0xa2bfe8a14cf10364,0xa81a664bbc423001 +.quad 0xc24b8b70d0f89791,0xc76c51a30654be30 +.quad 0xd192e819d6ef5218,0xd69906245565a910 +.quad 0xf40e35855771202a,0x106aa07032bbd1b8 +.quad 0x19a4c116b8d2d0c8,0x1e376c085141ab53 +.quad 0x2748774cdf8eeb99,0x34b0bcb5e19b48a8 +.quad 0x391c0cb3c5c95a63,0x4ed8aa4ae3418acb +.quad 0x5b9cca4f7763e373,0x682e6ff3d6b2b8a3 +.quad 0x748f82ee5defb2fc,0x78a5636f43172f60 +.quad 0x84c87814a1f0ab72,0x8cc702081a6439ec +.quad 0x90befffa23631e28,0xa4506cebde82bde9 +.quad 0xbef9a3f7b2c67915,0xc67178f2e372532b +.quad 0xca273eceea26619c,0xd186b8c721c0c207 +.quad 0xeada7dd6cde0eb1e,0xf57d4f7fee6ed178 +.quad 0x06f067aa72176fba,0x0a637dc5a2c898a6 +.quad 0x113f9804bef90dae,0x1b710b35131c471b +.quad 0x28db77f523047d84,0x32caab7b40c72493 +.quad 0x3c9ebe0a15c9bebc,0x431d67c49c100d4c +.quad 0x4cc5d4becb3e42b6,0x597f299cfc657e2a +.quad 0x5fcb6fab3ad6faec,0x6c44198c4a475817 + +.byte 83,72,65,53,49,50,32,98,108,111,99,107,32,116,114,97,110,115,102,111,114,109,32,102,111,114,32,120,56,54,95,54,52,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,64,100,111,116,45,97,115,109,0 +.globl crypton_sha512_asm_block_data_order_shaext +.def crypton_sha512_asm_block_data_order_shaext; .scl 2; .type 32; .endef +.p2align 6 +crypton_sha512_asm_block_data_order_shaext: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%r11 +.LSEH_begin_crypton_sha512_asm_block_data_order_shaext: + + + pushq %rbp + + movq %rsp,%rbp + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx +.Lshaext_shortcut: + subq $0x50,%rsp + + movaps %xmm6,-80(%rbp) + movaps %xmm7,-64(%rbp) + movaps %xmm8,-48(%rbp) + movaps %xmm9,-32(%rbp) + movaps %xmm10,-16(%rbp) + +.LSEH_body_crypton_sha512_asm_block_data_order_shaext: + + leaq K512_nodup+128(%rip),%rcx + vmovdqu (%rdi),%ymm0 + vmovdqu 32(%rdi),%ymm1 + vmovdqa -160(%rcx),%ymm8 + + vpermq $27,%ymm0,%ymm0 + vpblendd $15,%ymm1,%ymm0,%ymm5 + vpblendd $15,%ymm0,%ymm1,%ymm6 + vpermq $225,%ymm5,%ymm5 + vpermq $75,%ymm6,%ymm6 + jmp .Loop_shaext + +.p2align 4 +.Loop_shaext: + vmovdqu (%rsi),%ymm0 + vmovdqu 32(%rsi),%ymm1 + vmovdqu 64(%rsi),%ymm2 + vpshufb %ymm8,%ymm0,%ymm0 + vmovdqu 96(%rsi),%ymm3 + + vpaddq 0-128(%rcx),%ymm0,%ymm4 + vpshufb %ymm8,%ymm1,%ymm1 + vmovdqa %ymm6,%ymm10 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vmovdqa %ymm5,%ymm9 +.byte 196,226,79,203,236 + + vpaddq 32-128(%rcx),%ymm1,%ymm4 + vpshufb %ymm8,%ymm2,%ymm2 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + leaq 128(%rsi),%rsi +.byte 196,226,127,204,193 +.byte 196,226,79,203,236 + + vpaddq 64-128(%rcx),%ymm2,%ymm4 + vpshufb %ymm8,%ymm3,%ymm3 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm3,%ymm2,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm0,%ymm0 +.byte 196,226,127,204,202 +.byte 196,226,79,203,236 + + vpaddq 96-128(%rcx),%ymm3,%ymm4 +.byte 196,226,127,205,195 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm0,%ymm3,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm1,%ymm1 +.byte 196,226,127,204,211 +.byte 196,226,79,203,236 + vpaddq 128-128(%rcx),%ymm0,%ymm4 +.byte 196,226,127,205,200 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm1,%ymm0,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm2,%ymm2 +.byte 196,226,127,204,216 +.byte 196,226,79,203,236 + vpaddq 160-128(%rcx),%ymm1,%ymm4 +.byte 196,226,127,205,209 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm2,%ymm1,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm3,%ymm3 +.byte 196,226,127,204,193 +.byte 196,226,79,203,236 + vpaddq 192-128(%rcx),%ymm2,%ymm4 +.byte 196,226,127,205,218 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm3,%ymm2,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm0,%ymm0 +.byte 196,226,127,204,202 +.byte 196,226,79,203,236 + vpaddq 224-128(%rcx),%ymm3,%ymm4 +.byte 196,226,127,205,195 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm0,%ymm3,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm1,%ymm1 +.byte 196,226,127,204,211 +.byte 196,226,79,203,236 + vpaddq 256-128(%rcx),%ymm0,%ymm4 +.byte 196,226,127,205,200 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm1,%ymm0,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm2,%ymm2 +.byte 196,226,127,204,216 +.byte 196,226,79,203,236 + vpaddq 288-128(%rcx),%ymm1,%ymm4 +.byte 196,226,127,205,209 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm2,%ymm1,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm3,%ymm3 +.byte 196,226,127,204,193 +.byte 196,226,79,203,236 + vpaddq 320-128(%rcx),%ymm2,%ymm4 +.byte 196,226,127,205,218 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm3,%ymm2,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm0,%ymm0 +.byte 196,226,127,204,202 +.byte 196,226,79,203,236 + vpaddq 352-128(%rcx),%ymm3,%ymm4 +.byte 196,226,127,205,195 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm0,%ymm3,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm1,%ymm1 +.byte 196,226,127,204,211 +.byte 196,226,79,203,236 + vpaddq 384-128(%rcx),%ymm0,%ymm4 +.byte 196,226,127,205,200 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm1,%ymm0,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm2,%ymm2 +.byte 196,226,127,204,216 +.byte 196,226,79,203,236 + vpaddq 416-128(%rcx),%ymm1,%ymm4 +.byte 196,226,127,205,209 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm2,%ymm1,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm3,%ymm3 +.byte 196,226,127,204,193 +.byte 196,226,79,203,236 + vpaddq 448-128(%rcx),%ymm2,%ymm4 +.byte 196,226,127,205,218 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm3,%ymm2,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm0,%ymm0 +.byte 196,226,127,204,202 +.byte 196,226,79,203,236 + vpaddq 480-128(%rcx),%ymm3,%ymm4 +.byte 196,226,127,205,195 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm0,%ymm3,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm1,%ymm1 +.byte 196,226,127,204,211 +.byte 196,226,79,203,236 + vpaddq 512-128(%rcx),%ymm0,%ymm4 +.byte 196,226,127,205,200 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm1,%ymm0,%ymm7 + vpermq $0x39,%ymm7,%ymm7 + vpaddq %ymm7,%ymm2,%ymm2 +.byte 196,226,127,204,216 +.byte 196,226,79,203,236 + vpaddq 544-128(%rcx),%ymm1,%ymm4 +.byte 196,226,127,205,209 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + vpblendd $0x03,%ymm2,%ymm1,%ymm7 + vpermq $0x39,%ymm7,%ymm7 +.byte 196,226,79,203,236 + vpaddq %ymm7,%ymm3,%ymm3 + + vpaddq 576-128(%rcx),%ymm2,%ymm4 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 +.byte 196,226,127,205,218 +.byte 196,226,79,203,236 + + vpaddq 608-128(%rcx),%ymm3,%ymm4 +.byte 196,226,87,203,244 + vextracti128 $1,%ymm4,%xmm4 + decq %rdx +.byte 196,226,79,203,236 + + vpaddq %ymm10,%ymm6,%ymm6 + vpaddq %ymm9,%ymm5,%ymm5 + jnz .Loop_shaext + + vpermq $75,%ymm5,%ymm5 + vpblendd $240,%ymm6,%ymm5,%ymm1 + vpblendd $240,%ymm5,%ymm6,%ymm2 + vpermq $180,%ymm1,%ymm1 + vpermq $27,%ymm2,%ymm2 + + vmovdqu %ymm1,(%rdi) + vmovdqu %ymm2,32(%rdi) + + vzeroupper + movaps -80(%rbp),%xmm6 + movaps -64(%rbp),%xmm7 + movaps -48(%rbp),%xmm8 + movaps -32(%rbp),%xmm9 + movaps -16(%rbp),%xmm10 + movq %rbp,%rsp + + popq %rbp + +.LSEH_epilogue_crypton_sha512_asm_block_data_order_shaext: + mov 8(%rsp),%rdi + mov 16(%rsp),%rsi + + .byte 0xf3,0xc3 + +.LSEH_end_crypton_sha512_asm_block_data_order_shaext: +.def crypton_sha512_asm_block_data_order_xop; .scl 3; .type 32; .endef +.p2align 6 +crypton_sha512_asm_block_data_order_xop: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%r11 +.LSEH_begin_crypton_sha512_asm_block_data_order_xop: + + + pushq %rbp + + movq %rsp,%rbp + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx +.Lxop_shortcut: + pushq %rbx + + pushq %r12 + + pushq %r13 + + pushq %r14 + + pushq %r15 + + shlq $4,%rdx + subq $120,%rsp + + leaq (%rsi,%rdx,8),%rdx + movq %rdi,-64(%rbp) + + movq %rdx,-48(%rbp) + movaps %xmm6,-160(%rbp) + movaps %xmm7,-144(%rbp) + movaps %xmm8,-128(%rbp) + movaps %xmm9,-112(%rbp) + + movaps %xmm10,-96(%rbp) + movaps %xmm11,-80(%rbp) + +.LSEH_body_crypton_sha512_asm_block_data_order_xop: + + + leaq -128(%rsp),%rsp + vzeroupper + andq $-64,%rsp + movq 0(%rdi),%rax + movq 8(%rdi),%rbx + movq 16(%rdi),%rcx + movq 24(%rdi),%rdx + movq 32(%rdi),%r8 + movq 40(%rdi),%r9 + movq 48(%rdi),%r10 + movq 56(%rdi),%r11 + jmp .Lloop_xop +.p2align 4 +.Lloop_xop: + vmovdqa K512+1280(%rip),%xmm11 + movq %rsi,-56(%rbp) + vmovdqu 0(%rsi),%xmm0 + vmovdqu 16(%rsi),%xmm1 + vmovdqu 32(%rsi),%xmm2 + vpshufb %xmm11,%xmm0,%xmm0 + vmovdqu 48(%rsi),%xmm3 + vpshufb %xmm11,%xmm1,%xmm1 + vmovdqu 64(%rsi),%xmm4 + vpshufb %xmm11,%xmm2,%xmm2 + vmovdqu 80(%rsi),%xmm5 + vpshufb %xmm11,%xmm3,%xmm3 + vmovdqu 96(%rsi),%xmm6 + vpshufb %xmm11,%xmm4,%xmm4 + vmovdqu 112(%rsi),%xmm7 + leaq K512+128(%rip),%rsi + vpshufb %xmm11,%xmm5,%xmm5 + vpaddq -128(%rsi),%xmm0,%xmm8 + vpshufb %xmm11,%xmm6,%xmm6 + vpaddq -96(%rsi),%xmm1,%xmm9 + vpshufb %xmm11,%xmm7,%xmm7 + vpaddq -64(%rsi),%xmm2,%xmm10 + vpaddq -32(%rsi),%xmm3,%xmm11 + vmovdqa %xmm8,0(%rsp) + vpaddq 0(%rsi),%xmm4,%xmm8 + vmovdqa %xmm9,16(%rsp) + vpaddq 32(%rsi),%xmm5,%xmm9 + vmovdqa %xmm10,32(%rsp) + vpaddq 64(%rsi),%xmm6,%xmm10 + vmovdqa %xmm11,48(%rsp) + vpaddq 96(%rsi),%xmm7,%xmm11 + vmovdqa %xmm8,64(%rsp) + movq %rax,%r14 + vmovdqa %xmm9,80(%rsp) + movq %rbx,%rdi + vmovdqa %xmm10,96(%rsp) + xorq %rcx,%rdi + vmovdqa %xmm11,112(%rsp) + movq %r8,%r13 + jmp .Lxop_00_47 + +.p2align 4 +.Lxop_00_47: + addq $256,%rsi + vpalignr $8,%xmm0,%xmm1,%xmm8 + rorq $23,%r13 + movq %r14,%rax + vpalignr $8,%xmm4,%xmm5,%xmm11 + movq %r9,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %r8,%r13 + xorq %r10,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %rax,%r14 + vpaddq %xmm11,%xmm0,%xmm0 + andq %r8,%r12 + xorq %r8,%r13 + addq 0(%rsp),%r11 + movq %rax,%r15 +.byte 143,72,120,195,209,7 + xorq %r10,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %rbx,%r15 + addq %r12,%r11 + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,223,3 + xorq %rax,%r14 + addq %r13,%r11 + vpxor %xmm10,%xmm8,%xmm8 + xorq %rbx,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm7,%xmm10 + addq %r11,%rdx + addq %rdi,%r11 + vpaddq %xmm8,%xmm0,%xmm0 + movq %rdx,%r13 + addq %r11,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%r11 + vpxor %xmm10,%xmm11,%xmm11 + movq %r8,%r12 + rorq $5,%r14 + xorq %rdx,%r13 + xorq %r9,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %r11,%r14 + andq %rdx,%r12 + xorq %rdx,%r13 + vpaddq %xmm11,%xmm0,%xmm0 + addq 8(%rsp),%r10 + movq %r11,%rdi + xorq %r9,%r12 + rorq $6,%r14 + vpaddq -128(%rsi),%xmm0,%xmm10 + xorq %rax,%rdi + addq %r12,%r10 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r11,%r14 + addq %r13,%r10 + xorq %rax,%r15 + rorq $28,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + vmovdqa %xmm10,0(%rsp) + vpalignr $8,%xmm1,%xmm2,%xmm8 + rorq $23,%r13 + movq %r14,%r10 + vpalignr $8,%xmm5,%xmm6,%xmm11 + movq %rdx,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %rcx,%r13 + xorq %r8,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %r10,%r14 + vpaddq %xmm11,%xmm1,%xmm1 + andq %rcx,%r12 + xorq %rcx,%r13 + addq 16(%rsp),%r9 + movq %r10,%r15 +.byte 143,72,120,195,209,7 + xorq %r8,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %r11,%r15 + addq %r12,%r9 + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,216,3 + xorq %r10,%r14 + addq %r13,%r9 + vpxor %xmm10,%xmm8,%xmm8 + xorq %r11,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm0,%xmm10 + addq %r9,%rbx + addq %rdi,%r9 + vpaddq %xmm8,%xmm1,%xmm1 + movq %rbx,%r13 + addq %r9,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%r9 + vpxor %xmm10,%xmm11,%xmm11 + movq %rcx,%r12 + rorq $5,%r14 + xorq %rbx,%r13 + xorq %rdx,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %r9,%r14 + andq %rbx,%r12 + xorq %rbx,%r13 + vpaddq %xmm11,%xmm1,%xmm1 + addq 24(%rsp),%r8 + movq %r9,%rdi + xorq %rdx,%r12 + rorq $6,%r14 + vpaddq -96(%rsi),%xmm1,%xmm10 + xorq %r10,%rdi + addq %r12,%r8 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r9,%r14 + addq %r13,%r8 + xorq %r10,%r15 + rorq $28,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + vmovdqa %xmm10,16(%rsp) + vpalignr $8,%xmm2,%xmm3,%xmm8 + rorq $23,%r13 + movq %r14,%r8 + vpalignr $8,%xmm6,%xmm7,%xmm11 + movq %rbx,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %rax,%r13 + xorq %rcx,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %r8,%r14 + vpaddq %xmm11,%xmm2,%xmm2 + andq %rax,%r12 + xorq %rax,%r13 + addq 32(%rsp),%rdx + movq %r8,%r15 +.byte 143,72,120,195,209,7 + xorq %rcx,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %r9,%r15 + addq %r12,%rdx + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,217,3 + xorq %r8,%r14 + addq %r13,%rdx + vpxor %xmm10,%xmm8,%xmm8 + xorq %r9,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm1,%xmm10 + addq %rdx,%r11 + addq %rdi,%rdx + vpaddq %xmm8,%xmm2,%xmm2 + movq %r11,%r13 + addq %rdx,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%rdx + vpxor %xmm10,%xmm11,%xmm11 + movq %rax,%r12 + rorq $5,%r14 + xorq %r11,%r13 + xorq %rbx,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %rdx,%r14 + andq %r11,%r12 + xorq %r11,%r13 + vpaddq %xmm11,%xmm2,%xmm2 + addq 40(%rsp),%rcx + movq %rdx,%rdi + xorq %rbx,%r12 + rorq $6,%r14 + vpaddq -64(%rsi),%xmm2,%xmm10 + xorq %r8,%rdi + addq %r12,%rcx + rorq $14,%r13 + andq %rdi,%r15 + xorq %rdx,%r14 + addq %r13,%rcx + xorq %r8,%r15 + rorq $28,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + vmovdqa %xmm10,32(%rsp) + vpalignr $8,%xmm3,%xmm4,%xmm8 + rorq $23,%r13 + movq %r14,%rcx + vpalignr $8,%xmm7,%xmm0,%xmm11 + movq %r11,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %r10,%r13 + xorq %rax,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %rcx,%r14 + vpaddq %xmm11,%xmm3,%xmm3 + andq %r10,%r12 + xorq %r10,%r13 + addq 48(%rsp),%rbx + movq %rcx,%r15 +.byte 143,72,120,195,209,7 + xorq %rax,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %rdx,%r15 + addq %r12,%rbx + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,218,3 + xorq %rcx,%r14 + addq %r13,%rbx + vpxor %xmm10,%xmm8,%xmm8 + xorq %rdx,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm2,%xmm10 + addq %rbx,%r9 + addq %rdi,%rbx + vpaddq %xmm8,%xmm3,%xmm3 + movq %r9,%r13 + addq %rbx,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%rbx + vpxor %xmm10,%xmm11,%xmm11 + movq %r10,%r12 + rorq $5,%r14 + xorq %r9,%r13 + xorq %r11,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %rbx,%r14 + andq %r9,%r12 + xorq %r9,%r13 + vpaddq %xmm11,%xmm3,%xmm3 + addq 56(%rsp),%rax + movq %rbx,%rdi + xorq %r11,%r12 + rorq $6,%r14 + vpaddq -32(%rsi),%xmm3,%xmm10 + xorq %rcx,%rdi + addq %r12,%rax + rorq $14,%r13 + andq %rdi,%r15 + xorq %rbx,%r14 + addq %r13,%rax + xorq %rcx,%r15 + rorq $28,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + vmovdqa %xmm10,48(%rsp) + vpalignr $8,%xmm4,%xmm5,%xmm8 + rorq $23,%r13 + movq %r14,%rax + vpalignr $8,%xmm0,%xmm1,%xmm11 + movq %r9,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %r8,%r13 + xorq %r10,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %rax,%r14 + vpaddq %xmm11,%xmm4,%xmm4 + andq %r8,%r12 + xorq %r8,%r13 + addq 64(%rsp),%r11 + movq %rax,%r15 +.byte 143,72,120,195,209,7 + xorq %r10,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %rbx,%r15 + addq %r12,%r11 + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,219,3 + xorq %rax,%r14 + addq %r13,%r11 + vpxor %xmm10,%xmm8,%xmm8 + xorq %rbx,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm3,%xmm10 + addq %r11,%rdx + addq %rdi,%r11 + vpaddq %xmm8,%xmm4,%xmm4 + movq %rdx,%r13 + addq %r11,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%r11 + vpxor %xmm10,%xmm11,%xmm11 + movq %r8,%r12 + rorq $5,%r14 + xorq %rdx,%r13 + xorq %r9,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %r11,%r14 + andq %rdx,%r12 + xorq %rdx,%r13 + vpaddq %xmm11,%xmm4,%xmm4 + addq 72(%rsp),%r10 + movq %r11,%rdi + xorq %r9,%r12 + rorq $6,%r14 + vpaddq 0(%rsi),%xmm4,%xmm10 + xorq %rax,%rdi + addq %r12,%r10 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r11,%r14 + addq %r13,%r10 + xorq %rax,%r15 + rorq $28,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + vmovdqa %xmm10,64(%rsp) + vpalignr $8,%xmm5,%xmm6,%xmm8 + rorq $23,%r13 + movq %r14,%r10 + vpalignr $8,%xmm1,%xmm2,%xmm11 + movq %rdx,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %rcx,%r13 + xorq %r8,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %r10,%r14 + vpaddq %xmm11,%xmm5,%xmm5 + andq %rcx,%r12 + xorq %rcx,%r13 + addq 80(%rsp),%r9 + movq %r10,%r15 +.byte 143,72,120,195,209,7 + xorq %r8,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %r11,%r15 + addq %r12,%r9 + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,220,3 + xorq %r10,%r14 + addq %r13,%r9 + vpxor %xmm10,%xmm8,%xmm8 + xorq %r11,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm4,%xmm10 + addq %r9,%rbx + addq %rdi,%r9 + vpaddq %xmm8,%xmm5,%xmm5 + movq %rbx,%r13 + addq %r9,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%r9 + vpxor %xmm10,%xmm11,%xmm11 + movq %rcx,%r12 + rorq $5,%r14 + xorq %rbx,%r13 + xorq %rdx,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %r9,%r14 + andq %rbx,%r12 + xorq %rbx,%r13 + vpaddq %xmm11,%xmm5,%xmm5 + addq 88(%rsp),%r8 + movq %r9,%rdi + xorq %rdx,%r12 + rorq $6,%r14 + vpaddq 32(%rsi),%xmm5,%xmm10 + xorq %r10,%rdi + addq %r12,%r8 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r9,%r14 + addq %r13,%r8 + xorq %r10,%r15 + rorq $28,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + vmovdqa %xmm10,80(%rsp) + vpalignr $8,%xmm6,%xmm7,%xmm8 + rorq $23,%r13 + movq %r14,%r8 + vpalignr $8,%xmm2,%xmm3,%xmm11 + movq %rbx,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %rax,%r13 + xorq %rcx,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %r8,%r14 + vpaddq %xmm11,%xmm6,%xmm6 + andq %rax,%r12 + xorq %rax,%r13 + addq 96(%rsp),%rdx + movq %r8,%r15 +.byte 143,72,120,195,209,7 + xorq %rcx,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %r9,%r15 + addq %r12,%rdx + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,221,3 + xorq %r8,%r14 + addq %r13,%rdx + vpxor %xmm10,%xmm8,%xmm8 + xorq %r9,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm5,%xmm10 + addq %rdx,%r11 + addq %rdi,%rdx + vpaddq %xmm8,%xmm6,%xmm6 + movq %r11,%r13 + addq %rdx,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%rdx + vpxor %xmm10,%xmm11,%xmm11 + movq %rax,%r12 + rorq $5,%r14 + xorq %r11,%r13 + xorq %rbx,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %rdx,%r14 + andq %r11,%r12 + xorq %r11,%r13 + vpaddq %xmm11,%xmm6,%xmm6 + addq 104(%rsp),%rcx + movq %rdx,%rdi + xorq %rbx,%r12 + rorq $6,%r14 + vpaddq 64(%rsi),%xmm6,%xmm10 + xorq %r8,%rdi + addq %r12,%rcx + rorq $14,%r13 + andq %rdi,%r15 + xorq %rdx,%r14 + addq %r13,%rcx + xorq %r8,%r15 + rorq $28,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + vmovdqa %xmm10,96(%rsp) + vpalignr $8,%xmm7,%xmm0,%xmm8 + rorq $23,%r13 + movq %r14,%rcx + vpalignr $8,%xmm3,%xmm4,%xmm11 + movq %r11,%r12 + rorq $5,%r14 +.byte 143,72,120,195,200,56 + xorq %r10,%r13 + xorq %rax,%r12 + vpsrlq $7,%xmm8,%xmm8 + rorq $4,%r13 + xorq %rcx,%r14 + vpaddq %xmm11,%xmm7,%xmm7 + andq %r10,%r12 + xorq %r10,%r13 + addq 112(%rsp),%rbx + movq %rcx,%r15 +.byte 143,72,120,195,209,7 + xorq %rax,%r12 + rorq $6,%r14 + vpxor %xmm9,%xmm8,%xmm8 + xorq %rdx,%r15 + addq %r12,%rbx + rorq $14,%r13 + andq %r15,%rdi +.byte 143,104,120,195,222,3 + xorq %rcx,%r14 + addq %r13,%rbx + vpxor %xmm10,%xmm8,%xmm8 + xorq %rdx,%rdi + rorq $28,%r14 + vpsrlq $6,%xmm6,%xmm10 + addq %rbx,%r9 + addq %rdi,%rbx + vpaddq %xmm8,%xmm7,%xmm7 + movq %r9,%r13 + addq %rbx,%r14 +.byte 143,72,120,195,203,42 + rorq $23,%r13 + movq %r14,%rbx + vpxor %xmm10,%xmm11,%xmm11 + movq %r10,%r12 + rorq $5,%r14 + xorq %r9,%r13 + xorq %r11,%r12 + vpxor %xmm9,%xmm11,%xmm11 + rorq $4,%r13 + xorq %rbx,%r14 + andq %r9,%r12 + xorq %r9,%r13 + vpaddq %xmm11,%xmm7,%xmm7 + addq 120(%rsp),%rax + movq %rbx,%rdi + xorq %r11,%r12 + rorq $6,%r14 + vpaddq 96(%rsi),%xmm7,%xmm10 + xorq %rcx,%rdi + addq %r12,%rax + rorq $14,%r13 + andq %rdi,%r15 + xorq %rbx,%r14 + addq %r13,%rax + xorq %rcx,%r15 + rorq $28,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + vmovdqa %xmm10,112(%rsp) + cmpb $0,135(%rsi) + jne .Lxop_00_47 + rorq $23,%r13 + movq %r14,%rax + movq %r9,%r12 + rorq $5,%r14 + xorq %r8,%r13 + xorq %r10,%r12 + rorq $4,%r13 + xorq %rax,%r14 + andq %r8,%r12 + xorq %r8,%r13 + addq 0(%rsp),%r11 + movq %rax,%r15 + xorq %r10,%r12 + rorq $6,%r14 + xorq %rbx,%r15 + addq %r12,%r11 + rorq $14,%r13 + andq %r15,%rdi + xorq %rax,%r14 + addq %r13,%r11 + xorq %rbx,%rdi + rorq $28,%r14 + addq %r11,%rdx + addq %rdi,%r11 + movq %rdx,%r13 + addq %r11,%r14 + rorq $23,%r13 + movq %r14,%r11 + movq %r8,%r12 + rorq $5,%r14 + xorq %rdx,%r13 + xorq %r9,%r12 + rorq $4,%r13 + xorq %r11,%r14 + andq %rdx,%r12 + xorq %rdx,%r13 + addq 8(%rsp),%r10 + movq %r11,%rdi + xorq %r9,%r12 + rorq $6,%r14 + xorq %rax,%rdi + addq %r12,%r10 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r11,%r14 + addq %r13,%r10 + xorq %rax,%r15 + rorq $28,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + rorq $23,%r13 + movq %r14,%r10 + movq %rdx,%r12 + rorq $5,%r14 + xorq %rcx,%r13 + xorq %r8,%r12 + rorq $4,%r13 + xorq %r10,%r14 + andq %rcx,%r12 + xorq %rcx,%r13 + addq 16(%rsp),%r9 + movq %r10,%r15 + xorq %r8,%r12 + rorq $6,%r14 + xorq %r11,%r15 + addq %r12,%r9 + rorq $14,%r13 + andq %r15,%rdi + xorq %r10,%r14 + addq %r13,%r9 + xorq %r11,%rdi + rorq $28,%r14 + addq %r9,%rbx + addq %rdi,%r9 + movq %rbx,%r13 + addq %r9,%r14 + rorq $23,%r13 + movq %r14,%r9 + movq %rcx,%r12 + rorq $5,%r14 + xorq %rbx,%r13 + xorq %rdx,%r12 + rorq $4,%r13 + xorq %r9,%r14 + andq %rbx,%r12 + xorq %rbx,%r13 + addq 24(%rsp),%r8 + movq %r9,%rdi + xorq %rdx,%r12 + rorq $6,%r14 + xorq %r10,%rdi + addq %r12,%r8 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r9,%r14 + addq %r13,%r8 + xorq %r10,%r15 + rorq $28,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + rorq $23,%r13 + movq %r14,%r8 + movq %rbx,%r12 + rorq $5,%r14 + xorq %rax,%r13 + xorq %rcx,%r12 + rorq $4,%r13 + xorq %r8,%r14 + andq %rax,%r12 + xorq %rax,%r13 + addq 32(%rsp),%rdx + movq %r8,%r15 + xorq %rcx,%r12 + rorq $6,%r14 + xorq %r9,%r15 + addq %r12,%rdx + rorq $14,%r13 + andq %r15,%rdi + xorq %r8,%r14 + addq %r13,%rdx + xorq %r9,%rdi + rorq $28,%r14 + addq %rdx,%r11 + addq %rdi,%rdx + movq %r11,%r13 + addq %rdx,%r14 + rorq $23,%r13 + movq %r14,%rdx + movq %rax,%r12 + rorq $5,%r14 + xorq %r11,%r13 + xorq %rbx,%r12 + rorq $4,%r13 + xorq %rdx,%r14 + andq %r11,%r12 + xorq %r11,%r13 + addq 40(%rsp),%rcx + movq %rdx,%rdi + xorq %rbx,%r12 + rorq $6,%r14 + xorq %r8,%rdi + addq %r12,%rcx + rorq $14,%r13 + andq %rdi,%r15 + xorq %rdx,%r14 + addq %r13,%rcx + xorq %r8,%r15 + rorq $28,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + rorq $23,%r13 + movq %r14,%rcx + movq %r11,%r12 + rorq $5,%r14 + xorq %r10,%r13 + xorq %rax,%r12 + rorq $4,%r13 + xorq %rcx,%r14 + andq %r10,%r12 + xorq %r10,%r13 + addq 48(%rsp),%rbx + movq %rcx,%r15 + xorq %rax,%r12 + rorq $6,%r14 + xorq %rdx,%r15 + addq %r12,%rbx + rorq $14,%r13 + andq %r15,%rdi + xorq %rcx,%r14 + addq %r13,%rbx + xorq %rdx,%rdi + rorq $28,%r14 + addq %rbx,%r9 + addq %rdi,%rbx + movq %r9,%r13 + addq %rbx,%r14 + rorq $23,%r13 + movq %r14,%rbx + movq %r10,%r12 + rorq $5,%r14 + xorq %r9,%r13 + xorq %r11,%r12 + rorq $4,%r13 + xorq %rbx,%r14 + andq %r9,%r12 + xorq %r9,%r13 + addq 56(%rsp),%rax + movq %rbx,%rdi + xorq %r11,%r12 + rorq $6,%r14 + xorq %rcx,%rdi + addq %r12,%rax + rorq $14,%r13 + andq %rdi,%r15 + xorq %rbx,%r14 + addq %r13,%rax + xorq %rcx,%r15 + rorq $28,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + rorq $23,%r13 + movq %r14,%rax + movq %r9,%r12 + rorq $5,%r14 + xorq %r8,%r13 + xorq %r10,%r12 + rorq $4,%r13 + xorq %rax,%r14 + andq %r8,%r12 + xorq %r8,%r13 + addq 64(%rsp),%r11 + movq %rax,%r15 + xorq %r10,%r12 + rorq $6,%r14 + xorq %rbx,%r15 + addq %r12,%r11 + rorq $14,%r13 + andq %r15,%rdi + xorq %rax,%r14 + addq %r13,%r11 + xorq %rbx,%rdi + rorq $28,%r14 + addq %r11,%rdx + addq %rdi,%r11 + movq %rdx,%r13 + addq %r11,%r14 + rorq $23,%r13 + movq %r14,%r11 + movq %r8,%r12 + rorq $5,%r14 + xorq %rdx,%r13 + xorq %r9,%r12 + rorq $4,%r13 + xorq %r11,%r14 + andq %rdx,%r12 + xorq %rdx,%r13 + addq 72(%rsp),%r10 + movq %r11,%rdi + xorq %r9,%r12 + rorq $6,%r14 + xorq %rax,%rdi + addq %r12,%r10 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r11,%r14 + addq %r13,%r10 + xorq %rax,%r15 + rorq $28,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + rorq $23,%r13 + movq %r14,%r10 + movq %rdx,%r12 + rorq $5,%r14 + xorq %rcx,%r13 + xorq %r8,%r12 + rorq $4,%r13 + xorq %r10,%r14 + andq %rcx,%r12 + xorq %rcx,%r13 + addq 80(%rsp),%r9 + movq %r10,%r15 + xorq %r8,%r12 + rorq $6,%r14 + xorq %r11,%r15 + addq %r12,%r9 + rorq $14,%r13 + andq %r15,%rdi + xorq %r10,%r14 + addq %r13,%r9 + xorq %r11,%rdi + rorq $28,%r14 + addq %r9,%rbx + addq %rdi,%r9 + movq %rbx,%r13 + addq %r9,%r14 + rorq $23,%r13 + movq %r14,%r9 + movq %rcx,%r12 + rorq $5,%r14 + xorq %rbx,%r13 + xorq %rdx,%r12 + rorq $4,%r13 + xorq %r9,%r14 + andq %rbx,%r12 + xorq %rbx,%r13 + addq 88(%rsp),%r8 + movq %r9,%rdi + xorq %rdx,%r12 + rorq $6,%r14 + xorq %r10,%rdi + addq %r12,%r8 + rorq $14,%r13 + andq %rdi,%r15 + xorq %r9,%r14 + addq %r13,%r8 + xorq %r10,%r15 + rorq $28,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + rorq $23,%r13 + movq %r14,%r8 + movq %rbx,%r12 + rorq $5,%r14 + xorq %rax,%r13 + xorq %rcx,%r12 + rorq $4,%r13 + xorq %r8,%r14 + andq %rax,%r12 + xorq %rax,%r13 + addq 96(%rsp),%rdx + movq %r8,%r15 + xorq %rcx,%r12 + rorq $6,%r14 + xorq %r9,%r15 + addq %r12,%rdx + rorq $14,%r13 + andq %r15,%rdi + xorq %r8,%r14 + addq %r13,%rdx + xorq %r9,%rdi + rorq $28,%r14 + addq %rdx,%r11 + addq %rdi,%rdx + movq %r11,%r13 + addq %rdx,%r14 + rorq $23,%r13 + movq %r14,%rdx + movq %rax,%r12 + rorq $5,%r14 + xorq %r11,%r13 + xorq %rbx,%r12 + rorq $4,%r13 + xorq %rdx,%r14 + andq %r11,%r12 + xorq %r11,%r13 + addq 104(%rsp),%rcx + movq %rdx,%rdi + xorq %rbx,%r12 + rorq $6,%r14 + xorq %r8,%rdi + addq %r12,%rcx + rorq $14,%r13 + andq %rdi,%r15 + xorq %rdx,%r14 + addq %r13,%rcx + xorq %r8,%r15 + rorq $28,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + rorq $23,%r13 + movq %r14,%rcx + movq %r11,%r12 + rorq $5,%r14 + xorq %r10,%r13 + xorq %rax,%r12 + rorq $4,%r13 + xorq %rcx,%r14 + andq %r10,%r12 + xorq %r10,%r13 + addq 112(%rsp),%rbx + movq %rcx,%r15 + xorq %rax,%r12 + rorq $6,%r14 + xorq %rdx,%r15 + addq %r12,%rbx + rorq $14,%r13 + andq %r15,%rdi + xorq %rcx,%r14 + addq %r13,%rbx + xorq %rdx,%rdi + rorq $28,%r14 + addq %rbx,%r9 + addq %rdi,%rbx + movq %r9,%r13 + addq %rbx,%r14 + rorq $23,%r13 + movq %r14,%rbx + movq %r10,%r12 + rorq $5,%r14 + xorq %r9,%r13 + xorq %r11,%r12 + rorq $4,%r13 + xorq %rbx,%r14 + andq %r9,%r12 + xorq %r9,%r13 + addq 120(%rsp),%rax + movq %rbx,%rdi + xorq %r11,%r12 + rorq $6,%r14 + xorq %rcx,%rdi + addq %r12,%rax + rorq $14,%r13 + andq %rdi,%r15 + xorq %rbx,%r14 + addq %r13,%rax + xorq %rcx,%r15 + rorq $28,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + movq -64(%rbp),%rdi + movq %r14,%rax + movq -56(%rbp),%rsi + + addq 0(%rdi),%rax + addq 8(%rdi),%rbx + addq 16(%rdi),%rcx + addq 24(%rdi),%rdx + addq 32(%rdi),%r8 + addq 40(%rdi),%r9 + addq 48(%rdi),%r10 + addq 56(%rdi),%r11 + + leaq 128(%rsi),%rsi + cmpq -48(%rbp),%rsi + + movq %rax,0(%rdi) + movq %rbx,8(%rdi) + movq %rcx,16(%rdi) + movq %rdx,24(%rdi) + movq %r8,32(%rdi) + movq %r9,40(%rdi) + movq %r10,48(%rdi) + movq %r11,56(%rdi) + jb .Lloop_xop + + vzeroupper + movaps -160(%rbp),%xmm6 + movaps -144(%rbp),%xmm7 + movaps -128(%rbp),%xmm8 + movaps -112(%rbp),%xmm9 + movaps -96(%rbp),%xmm10 + movaps -80(%rbp),%xmm11 + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp + + popq %rbp + +.LSEH_epilogue_crypton_sha512_asm_block_data_order_xop: + mov 8(%rsp),%rdi + mov 16(%rsp),%rsi + + .byte 0xf3,0xc3 + +.LSEH_end_crypton_sha512_asm_block_data_order_xop: +.def crypton_sha512_asm_block_data_order_avx; .scl 3; .type 32; .endef +.p2align 6 +crypton_sha512_asm_block_data_order_avx: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%r11 +.LSEH_begin_crypton_sha512_asm_block_data_order_avx: + + + pushq %rbp + + movq %rsp,%rbp + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx +.Lavx_shortcut: + pushq %rbx + + pushq %r12 + + pushq %r13 + + pushq %r14 + + pushq %r15 + + shlq $4,%rdx + subq $120,%rsp + + leaq (%rsi,%rdx,8),%rdx + movq %rdi,-64(%rbp) + + movq %rdx,-48(%rbp) + movaps %xmm6,-160(%rbp) + movaps %xmm7,-144(%rbp) + movaps %xmm8,-128(%rbp) + movaps %xmm9,-112(%rbp) + + movaps %xmm10,-96(%rbp) + movaps %xmm11,-80(%rbp) + +.LSEH_body_crypton_sha512_asm_block_data_order_avx: + + + leaq -128(%rsp),%rsp + vzeroupper + andq $-64,%rsp + movq 0(%rdi),%rax + movq 8(%rdi),%rbx + movq 16(%rdi),%rcx + movq 24(%rdi),%rdx + movq 32(%rdi),%r8 + movq 40(%rdi),%r9 + movq 48(%rdi),%r10 + movq 56(%rdi),%r11 + jmp .Lloop_avx +.p2align 4 +.Lloop_avx: + vmovdqa K512+1280(%rip),%xmm11 + movq %rsi,-56(%rbp) + vmovdqu 0(%rsi),%xmm0 + vmovdqu 16(%rsi),%xmm1 + vmovdqu 32(%rsi),%xmm2 + vpshufb %xmm11,%xmm0,%xmm0 + vmovdqu 48(%rsi),%xmm3 + vpshufb %xmm11,%xmm1,%xmm1 + vmovdqu 64(%rsi),%xmm4 + vpshufb %xmm11,%xmm2,%xmm2 + vmovdqu 80(%rsi),%xmm5 + vpshufb %xmm11,%xmm3,%xmm3 + vmovdqu 96(%rsi),%xmm6 + vpshufb %xmm11,%xmm4,%xmm4 + vmovdqu 112(%rsi),%xmm7 + leaq K512+128(%rip),%rsi + vpshufb %xmm11,%xmm5,%xmm5 + vpaddq -128(%rsi),%xmm0,%xmm8 + vpshufb %xmm11,%xmm6,%xmm6 + vpaddq -96(%rsi),%xmm1,%xmm9 + vpshufb %xmm11,%xmm7,%xmm7 + vpaddq -64(%rsi),%xmm2,%xmm10 + vpaddq -32(%rsi),%xmm3,%xmm11 + vmovdqa %xmm8,0(%rsp) + vpaddq 0(%rsi),%xmm4,%xmm8 + vmovdqa %xmm9,16(%rsp) + vpaddq 32(%rsi),%xmm5,%xmm9 + vmovdqa %xmm10,32(%rsp) + vpaddq 64(%rsi),%xmm6,%xmm10 + vmovdqa %xmm11,48(%rsp) + vpaddq 96(%rsi),%xmm7,%xmm11 + vmovdqa %xmm8,64(%rsp) + movq %rax,%r14 + vmovdqa %xmm9,80(%rsp) + movq %rbx,%rdi + vmovdqa %xmm10,96(%rsp) + xorq %rcx,%rdi + vmovdqa %xmm11,112(%rsp) + movq %r8,%r13 + jmp .Lavx_00_47 + +.p2align 4 +.Lavx_00_47: + addq $256,%rsi + vpalignr $8,%xmm0,%xmm1,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%rax + vpalignr $8,%xmm4,%xmm5,%xmm11 + movq %r9,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %r8,%r13 + xorq %r10,%r12 + vpaddq %xmm11,%xmm0,%xmm0 + shrdq $4,%r13,%r13 + xorq %rax,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %r8,%r12 + xorq %r8,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 0(%rsp),%r11 + movq %rax,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %r10,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %rbx,%r15 + addq %r12,%r11 + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %rax,%r14 + addq %r13,%r11 + vpxor %xmm10,%xmm8,%xmm8 + xorq %rbx,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm7,%xmm11 + addq %r11,%rdx + addq %rdi,%r11 + vpxor %xmm9,%xmm8,%xmm8 + movq %rdx,%r13 + addq %r11,%r14 + vpsllq $3,%xmm7,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%r11 + vpaddq %xmm8,%xmm0,%xmm0 + movq %r8,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm7,%xmm9 + xorq %rdx,%r13 + xorq %r9,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %r11,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %rdx,%r12 + xorq %rdx,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 8(%rsp),%r10 + movq %r11,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %r9,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %rax,%rdi + addq %r12,%r10 + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm0,%xmm0 + xorq %r11,%r14 + addq %r13,%r10 + vpaddq -128(%rsi),%xmm0,%xmm10 + xorq %rax,%r15 + shrdq $28,%r14,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + vmovdqa %xmm10,0(%rsp) + vpalignr $8,%xmm1,%xmm2,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%r10 + vpalignr $8,%xmm5,%xmm6,%xmm11 + movq %rdx,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %rcx,%r13 + xorq %r8,%r12 + vpaddq %xmm11,%xmm1,%xmm1 + shrdq $4,%r13,%r13 + xorq %r10,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %rcx,%r12 + xorq %rcx,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 16(%rsp),%r9 + movq %r10,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %r8,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %r11,%r15 + addq %r12,%r9 + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %r10,%r14 + addq %r13,%r9 + vpxor %xmm10,%xmm8,%xmm8 + xorq %r11,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm0,%xmm11 + addq %r9,%rbx + addq %rdi,%r9 + vpxor %xmm9,%xmm8,%xmm8 + movq %rbx,%r13 + addq %r9,%r14 + vpsllq $3,%xmm0,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%r9 + vpaddq %xmm8,%xmm1,%xmm1 + movq %rcx,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm0,%xmm9 + xorq %rbx,%r13 + xorq %rdx,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %r9,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %rbx,%r12 + xorq %rbx,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 24(%rsp),%r8 + movq %r9,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %rdx,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %r10,%rdi + addq %r12,%r8 + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm1,%xmm1 + xorq %r9,%r14 + addq %r13,%r8 + vpaddq -96(%rsi),%xmm1,%xmm10 + xorq %r10,%r15 + shrdq $28,%r14,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + vmovdqa %xmm10,16(%rsp) + vpalignr $8,%xmm2,%xmm3,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%r8 + vpalignr $8,%xmm6,%xmm7,%xmm11 + movq %rbx,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %rax,%r13 + xorq %rcx,%r12 + vpaddq %xmm11,%xmm2,%xmm2 + shrdq $4,%r13,%r13 + xorq %r8,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %rax,%r12 + xorq %rax,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 32(%rsp),%rdx + movq %r8,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %rcx,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %r9,%r15 + addq %r12,%rdx + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %r8,%r14 + addq %r13,%rdx + vpxor %xmm10,%xmm8,%xmm8 + xorq %r9,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm1,%xmm11 + addq %rdx,%r11 + addq %rdi,%rdx + vpxor %xmm9,%xmm8,%xmm8 + movq %r11,%r13 + addq %rdx,%r14 + vpsllq $3,%xmm1,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%rdx + vpaddq %xmm8,%xmm2,%xmm2 + movq %rax,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm1,%xmm9 + xorq %r11,%r13 + xorq %rbx,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %rdx,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %r11,%r12 + xorq %r11,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 40(%rsp),%rcx + movq %rdx,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %rbx,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %r8,%rdi + addq %r12,%rcx + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm2,%xmm2 + xorq %rdx,%r14 + addq %r13,%rcx + vpaddq -64(%rsi),%xmm2,%xmm10 + xorq %r8,%r15 + shrdq $28,%r14,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + vmovdqa %xmm10,32(%rsp) + vpalignr $8,%xmm3,%xmm4,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%rcx + vpalignr $8,%xmm7,%xmm0,%xmm11 + movq %r11,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %r10,%r13 + xorq %rax,%r12 + vpaddq %xmm11,%xmm3,%xmm3 + shrdq $4,%r13,%r13 + xorq %rcx,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %r10,%r12 + xorq %r10,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 48(%rsp),%rbx + movq %rcx,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %rax,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %rdx,%r15 + addq %r12,%rbx + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %rcx,%r14 + addq %r13,%rbx + vpxor %xmm10,%xmm8,%xmm8 + xorq %rdx,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm2,%xmm11 + addq %rbx,%r9 + addq %rdi,%rbx + vpxor %xmm9,%xmm8,%xmm8 + movq %r9,%r13 + addq %rbx,%r14 + vpsllq $3,%xmm2,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%rbx + vpaddq %xmm8,%xmm3,%xmm3 + movq %r10,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm2,%xmm9 + xorq %r9,%r13 + xorq %r11,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %rbx,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %r9,%r12 + xorq %r9,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 56(%rsp),%rax + movq %rbx,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %r11,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %rcx,%rdi + addq %r12,%rax + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm3,%xmm3 + xorq %rbx,%r14 + addq %r13,%rax + vpaddq -32(%rsi),%xmm3,%xmm10 + xorq %rcx,%r15 + shrdq $28,%r14,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + vmovdqa %xmm10,48(%rsp) + vpalignr $8,%xmm4,%xmm5,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%rax + vpalignr $8,%xmm0,%xmm1,%xmm11 + movq %r9,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %r8,%r13 + xorq %r10,%r12 + vpaddq %xmm11,%xmm4,%xmm4 + shrdq $4,%r13,%r13 + xorq %rax,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %r8,%r12 + xorq %r8,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 64(%rsp),%r11 + movq %rax,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %r10,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %rbx,%r15 + addq %r12,%r11 + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %rax,%r14 + addq %r13,%r11 + vpxor %xmm10,%xmm8,%xmm8 + xorq %rbx,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm3,%xmm11 + addq %r11,%rdx + addq %rdi,%r11 + vpxor %xmm9,%xmm8,%xmm8 + movq %rdx,%r13 + addq %r11,%r14 + vpsllq $3,%xmm3,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%r11 + vpaddq %xmm8,%xmm4,%xmm4 + movq %r8,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm3,%xmm9 + xorq %rdx,%r13 + xorq %r9,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %r11,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %rdx,%r12 + xorq %rdx,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 72(%rsp),%r10 + movq %r11,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %r9,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %rax,%rdi + addq %r12,%r10 + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm4,%xmm4 + xorq %r11,%r14 + addq %r13,%r10 + vpaddq 0(%rsi),%xmm4,%xmm10 + xorq %rax,%r15 + shrdq $28,%r14,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + vmovdqa %xmm10,64(%rsp) + vpalignr $8,%xmm5,%xmm6,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%r10 + vpalignr $8,%xmm1,%xmm2,%xmm11 + movq %rdx,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %rcx,%r13 + xorq %r8,%r12 + vpaddq %xmm11,%xmm5,%xmm5 + shrdq $4,%r13,%r13 + xorq %r10,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %rcx,%r12 + xorq %rcx,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 80(%rsp),%r9 + movq %r10,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %r8,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %r11,%r15 + addq %r12,%r9 + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %r10,%r14 + addq %r13,%r9 + vpxor %xmm10,%xmm8,%xmm8 + xorq %r11,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm4,%xmm11 + addq %r9,%rbx + addq %rdi,%r9 + vpxor %xmm9,%xmm8,%xmm8 + movq %rbx,%r13 + addq %r9,%r14 + vpsllq $3,%xmm4,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%r9 + vpaddq %xmm8,%xmm5,%xmm5 + movq %rcx,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm4,%xmm9 + xorq %rbx,%r13 + xorq %rdx,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %r9,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %rbx,%r12 + xorq %rbx,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 88(%rsp),%r8 + movq %r9,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %rdx,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %r10,%rdi + addq %r12,%r8 + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm5,%xmm5 + xorq %r9,%r14 + addq %r13,%r8 + vpaddq 32(%rsi),%xmm5,%xmm10 + xorq %r10,%r15 + shrdq $28,%r14,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + vmovdqa %xmm10,80(%rsp) + vpalignr $8,%xmm6,%xmm7,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%r8 + vpalignr $8,%xmm2,%xmm3,%xmm11 + movq %rbx,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %rax,%r13 + xorq %rcx,%r12 + vpaddq %xmm11,%xmm6,%xmm6 + shrdq $4,%r13,%r13 + xorq %r8,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %rax,%r12 + xorq %rax,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 96(%rsp),%rdx + movq %r8,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %rcx,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %r9,%r15 + addq %r12,%rdx + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %r8,%r14 + addq %r13,%rdx + vpxor %xmm10,%xmm8,%xmm8 + xorq %r9,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm5,%xmm11 + addq %rdx,%r11 + addq %rdi,%rdx + vpxor %xmm9,%xmm8,%xmm8 + movq %r11,%r13 + addq %rdx,%r14 + vpsllq $3,%xmm5,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%rdx + vpaddq %xmm8,%xmm6,%xmm6 + movq %rax,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm5,%xmm9 + xorq %r11,%r13 + xorq %rbx,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %rdx,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %r11,%r12 + xorq %r11,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 104(%rsp),%rcx + movq %rdx,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %rbx,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %r8,%rdi + addq %r12,%rcx + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm6,%xmm6 + xorq %rdx,%r14 + addq %r13,%rcx + vpaddq 64(%rsi),%xmm6,%xmm10 + xorq %r8,%r15 + shrdq $28,%r14,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + vmovdqa %xmm10,96(%rsp) + vpalignr $8,%xmm7,%xmm0,%xmm8 + shrdq $23,%r13,%r13 + movq %r14,%rcx + vpalignr $8,%xmm3,%xmm4,%xmm11 + movq %r11,%r12 + shrdq $5,%r14,%r14 + vpsrlq $1,%xmm8,%xmm10 + xorq %r10,%r13 + xorq %rax,%r12 + vpaddq %xmm11,%xmm7,%xmm7 + shrdq $4,%r13,%r13 + xorq %rcx,%r14 + vpsrlq $7,%xmm8,%xmm11 + andq %r10,%r12 + xorq %r10,%r13 + vpsllq $56,%xmm8,%xmm9 + addq 112(%rsp),%rbx + movq %rcx,%r15 + vpxor %xmm10,%xmm11,%xmm8 + xorq %rax,%r12 + shrdq $6,%r14,%r14 + vpsrlq $7,%xmm10,%xmm10 + xorq %rdx,%r15 + addq %r12,%rbx + vpxor %xmm9,%xmm8,%xmm8 + shrdq $14,%r13,%r13 + andq %r15,%rdi + vpsllq $7,%xmm9,%xmm9 + xorq %rcx,%r14 + addq %r13,%rbx + vpxor %xmm10,%xmm8,%xmm8 + xorq %rdx,%rdi + shrdq $28,%r14,%r14 + vpsrlq $6,%xmm6,%xmm11 + addq %rbx,%r9 + addq %rdi,%rbx + vpxor %xmm9,%xmm8,%xmm8 + movq %r9,%r13 + addq %rbx,%r14 + vpsllq $3,%xmm6,%xmm10 + shrdq $23,%r13,%r13 + movq %r14,%rbx + vpaddq %xmm8,%xmm7,%xmm7 + movq %r10,%r12 + shrdq $5,%r14,%r14 + vpsrlq $19,%xmm6,%xmm9 + xorq %r9,%r13 + xorq %r11,%r12 + vpxor %xmm10,%xmm11,%xmm11 + shrdq $4,%r13,%r13 + xorq %rbx,%r14 + vpsllq $42,%xmm10,%xmm10 + andq %r9,%r12 + xorq %r9,%r13 + vpxor %xmm9,%xmm11,%xmm11 + addq 120(%rsp),%rax + movq %rbx,%rdi + vpsrlq $42,%xmm9,%xmm9 + xorq %r11,%r12 + shrdq $6,%r14,%r14 + vpxor %xmm10,%xmm11,%xmm11 + xorq %rcx,%rdi + addq %r12,%rax + vpxor %xmm9,%xmm11,%xmm11 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + vpaddq %xmm11,%xmm7,%xmm7 + xorq %rbx,%r14 + addq %r13,%rax + vpaddq 96(%rsi),%xmm7,%xmm10 + xorq %rcx,%r15 + shrdq $28,%r14,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + vmovdqa %xmm10,112(%rsp) + cmpb $0,135(%rsi) + jne .Lavx_00_47 + shrdq $23,%r13,%r13 + movq %r14,%rax + movq %r9,%r12 + shrdq $5,%r14,%r14 + xorq %r8,%r13 + xorq %r10,%r12 + shrdq $4,%r13,%r13 + xorq %rax,%r14 + andq %r8,%r12 + xorq %r8,%r13 + addq 0(%rsp),%r11 + movq %rax,%r15 + xorq %r10,%r12 + shrdq $6,%r14,%r14 + xorq %rbx,%r15 + addq %r12,%r11 + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %rax,%r14 + addq %r13,%r11 + xorq %rbx,%rdi + shrdq $28,%r14,%r14 + addq %r11,%rdx + addq %rdi,%r11 + movq %rdx,%r13 + addq %r11,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r11 + movq %r8,%r12 + shrdq $5,%r14,%r14 + xorq %rdx,%r13 + xorq %r9,%r12 + shrdq $4,%r13,%r13 + xorq %r11,%r14 + andq %rdx,%r12 + xorq %rdx,%r13 + addq 8(%rsp),%r10 + movq %r11,%rdi + xorq %r9,%r12 + shrdq $6,%r14,%r14 + xorq %rax,%rdi + addq %r12,%r10 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %r11,%r14 + addq %r13,%r10 + xorq %rax,%r15 + shrdq $28,%r14,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r10 + movq %rdx,%r12 + shrdq $5,%r14,%r14 + xorq %rcx,%r13 + xorq %r8,%r12 + shrdq $4,%r13,%r13 + xorq %r10,%r14 + andq %rcx,%r12 + xorq %rcx,%r13 + addq 16(%rsp),%r9 + movq %r10,%r15 + xorq %r8,%r12 + shrdq $6,%r14,%r14 + xorq %r11,%r15 + addq %r12,%r9 + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %r10,%r14 + addq %r13,%r9 + xorq %r11,%rdi + shrdq $28,%r14,%r14 + addq %r9,%rbx + addq %rdi,%r9 + movq %rbx,%r13 + addq %r9,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r9 + movq %rcx,%r12 + shrdq $5,%r14,%r14 + xorq %rbx,%r13 + xorq %rdx,%r12 + shrdq $4,%r13,%r13 + xorq %r9,%r14 + andq %rbx,%r12 + xorq %rbx,%r13 + addq 24(%rsp),%r8 + movq %r9,%rdi + xorq %rdx,%r12 + shrdq $6,%r14,%r14 + xorq %r10,%rdi + addq %r12,%r8 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %r9,%r14 + addq %r13,%r8 + xorq %r10,%r15 + shrdq $28,%r14,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r8 + movq %rbx,%r12 + shrdq $5,%r14,%r14 + xorq %rax,%r13 + xorq %rcx,%r12 + shrdq $4,%r13,%r13 + xorq %r8,%r14 + andq %rax,%r12 + xorq %rax,%r13 + addq 32(%rsp),%rdx + movq %r8,%r15 + xorq %rcx,%r12 + shrdq $6,%r14,%r14 + xorq %r9,%r15 + addq %r12,%rdx + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %r8,%r14 + addq %r13,%rdx + xorq %r9,%rdi + shrdq $28,%r14,%r14 + addq %rdx,%r11 + addq %rdi,%rdx + movq %r11,%r13 + addq %rdx,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rdx + movq %rax,%r12 + shrdq $5,%r14,%r14 + xorq %r11,%r13 + xorq %rbx,%r12 + shrdq $4,%r13,%r13 + xorq %rdx,%r14 + andq %r11,%r12 + xorq %r11,%r13 + addq 40(%rsp),%rcx + movq %rdx,%rdi + xorq %rbx,%r12 + shrdq $6,%r14,%r14 + xorq %r8,%rdi + addq %r12,%rcx + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %rdx,%r14 + addq %r13,%rcx + xorq %r8,%r15 + shrdq $28,%r14,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rcx + movq %r11,%r12 + shrdq $5,%r14,%r14 + xorq %r10,%r13 + xorq %rax,%r12 + shrdq $4,%r13,%r13 + xorq %rcx,%r14 + andq %r10,%r12 + xorq %r10,%r13 + addq 48(%rsp),%rbx + movq %rcx,%r15 + xorq %rax,%r12 + shrdq $6,%r14,%r14 + xorq %rdx,%r15 + addq %r12,%rbx + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %rcx,%r14 + addq %r13,%rbx + xorq %rdx,%rdi + shrdq $28,%r14,%r14 + addq %rbx,%r9 + addq %rdi,%rbx + movq %r9,%r13 + addq %rbx,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rbx + movq %r10,%r12 + shrdq $5,%r14,%r14 + xorq %r9,%r13 + xorq %r11,%r12 + shrdq $4,%r13,%r13 + xorq %rbx,%r14 + andq %r9,%r12 + xorq %r9,%r13 + addq 56(%rsp),%rax + movq %rbx,%rdi + xorq %r11,%r12 + shrdq $6,%r14,%r14 + xorq %rcx,%rdi + addq %r12,%rax + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %rbx,%r14 + addq %r13,%rax + xorq %rcx,%r15 + shrdq $28,%r14,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rax + movq %r9,%r12 + shrdq $5,%r14,%r14 + xorq %r8,%r13 + xorq %r10,%r12 + shrdq $4,%r13,%r13 + xorq %rax,%r14 + andq %r8,%r12 + xorq %r8,%r13 + addq 64(%rsp),%r11 + movq %rax,%r15 + xorq %r10,%r12 + shrdq $6,%r14,%r14 + xorq %rbx,%r15 + addq %r12,%r11 + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %rax,%r14 + addq %r13,%r11 + xorq %rbx,%rdi + shrdq $28,%r14,%r14 + addq %r11,%rdx + addq %rdi,%r11 + movq %rdx,%r13 + addq %r11,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r11 + movq %r8,%r12 + shrdq $5,%r14,%r14 + xorq %rdx,%r13 + xorq %r9,%r12 + shrdq $4,%r13,%r13 + xorq %r11,%r14 + andq %rdx,%r12 + xorq %rdx,%r13 + addq 72(%rsp),%r10 + movq %r11,%rdi + xorq %r9,%r12 + shrdq $6,%r14,%r14 + xorq %rax,%rdi + addq %r12,%r10 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %r11,%r14 + addq %r13,%r10 + xorq %rax,%r15 + shrdq $28,%r14,%r14 + addq %r10,%rcx + addq %r15,%r10 + movq %rcx,%r13 + addq %r10,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r10 + movq %rdx,%r12 + shrdq $5,%r14,%r14 + xorq %rcx,%r13 + xorq %r8,%r12 + shrdq $4,%r13,%r13 + xorq %r10,%r14 + andq %rcx,%r12 + xorq %rcx,%r13 + addq 80(%rsp),%r9 + movq %r10,%r15 + xorq %r8,%r12 + shrdq $6,%r14,%r14 + xorq %r11,%r15 + addq %r12,%r9 + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %r10,%r14 + addq %r13,%r9 + xorq %r11,%rdi + shrdq $28,%r14,%r14 + addq %r9,%rbx + addq %rdi,%r9 + movq %rbx,%r13 + addq %r9,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r9 + movq %rcx,%r12 + shrdq $5,%r14,%r14 + xorq %rbx,%r13 + xorq %rdx,%r12 + shrdq $4,%r13,%r13 + xorq %r9,%r14 + andq %rbx,%r12 + xorq %rbx,%r13 + addq 88(%rsp),%r8 + movq %r9,%rdi + xorq %rdx,%r12 + shrdq $6,%r14,%r14 + xorq %r10,%rdi + addq %r12,%r8 + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %r9,%r14 + addq %r13,%r8 + xorq %r10,%r15 + shrdq $28,%r14,%r14 + addq %r8,%rax + addq %r15,%r8 + movq %rax,%r13 + addq %r8,%r14 + shrdq $23,%r13,%r13 + movq %r14,%r8 + movq %rbx,%r12 + shrdq $5,%r14,%r14 + xorq %rax,%r13 + xorq %rcx,%r12 + shrdq $4,%r13,%r13 + xorq %r8,%r14 + andq %rax,%r12 + xorq %rax,%r13 + addq 96(%rsp),%rdx + movq %r8,%r15 + xorq %rcx,%r12 + shrdq $6,%r14,%r14 + xorq %r9,%r15 + addq %r12,%rdx + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %r8,%r14 + addq %r13,%rdx + xorq %r9,%rdi + shrdq $28,%r14,%r14 + addq %rdx,%r11 + addq %rdi,%rdx + movq %r11,%r13 + addq %rdx,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rdx + movq %rax,%r12 + shrdq $5,%r14,%r14 + xorq %r11,%r13 + xorq %rbx,%r12 + shrdq $4,%r13,%r13 + xorq %rdx,%r14 + andq %r11,%r12 + xorq %r11,%r13 + addq 104(%rsp),%rcx + movq %rdx,%rdi + xorq %rbx,%r12 + shrdq $6,%r14,%r14 + xorq %r8,%rdi + addq %r12,%rcx + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %rdx,%r14 + addq %r13,%rcx + xorq %r8,%r15 + shrdq $28,%r14,%r14 + addq %rcx,%r10 + addq %r15,%rcx + movq %r10,%r13 + addq %rcx,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rcx + movq %r11,%r12 + shrdq $5,%r14,%r14 + xorq %r10,%r13 + xorq %rax,%r12 + shrdq $4,%r13,%r13 + xorq %rcx,%r14 + andq %r10,%r12 + xorq %r10,%r13 + addq 112(%rsp),%rbx + movq %rcx,%r15 + xorq %rax,%r12 + shrdq $6,%r14,%r14 + xorq %rdx,%r15 + addq %r12,%rbx + shrdq $14,%r13,%r13 + andq %r15,%rdi + xorq %rcx,%r14 + addq %r13,%rbx + xorq %rdx,%rdi + shrdq $28,%r14,%r14 + addq %rbx,%r9 + addq %rdi,%rbx + movq %r9,%r13 + addq %rbx,%r14 + shrdq $23,%r13,%r13 + movq %r14,%rbx + movq %r10,%r12 + shrdq $5,%r14,%r14 + xorq %r9,%r13 + xorq %r11,%r12 + shrdq $4,%r13,%r13 + xorq %rbx,%r14 + andq %r9,%r12 + xorq %r9,%r13 + addq 120(%rsp),%rax + movq %rbx,%rdi + xorq %r11,%r12 + shrdq $6,%r14,%r14 + xorq %rcx,%rdi + addq %r12,%rax + shrdq $14,%r13,%r13 + andq %rdi,%r15 + xorq %rbx,%r14 + addq %r13,%rax + xorq %rcx,%r15 + shrdq $28,%r14,%r14 + addq %rax,%r8 + addq %r15,%rax + movq %r8,%r13 + addq %rax,%r14 + movq -64(%rbp),%rdi + movq %r14,%rax + movq -56(%rbp),%rsi + + addq 0(%rdi),%rax + addq 8(%rdi),%rbx + addq 16(%rdi),%rcx + addq 24(%rdi),%rdx + addq 32(%rdi),%r8 + addq 40(%rdi),%r9 + addq 48(%rdi),%r10 + addq 56(%rdi),%r11 + + leaq 128(%rsi),%rsi + cmpq -48(%rbp),%rsi + + movq %rax,0(%rdi) + movq %rbx,8(%rdi) + movq %rcx,16(%rdi) + movq %rdx,24(%rdi) + movq %r8,32(%rdi) + movq %r9,40(%rdi) + movq %r10,48(%rdi) + movq %r11,56(%rdi) + jb .Lloop_avx + + vzeroupper + movaps -160(%rbp),%xmm6 + movaps -144(%rbp),%xmm7 + movaps -128(%rbp),%xmm8 + movaps -112(%rbp),%xmm9 + movaps -96(%rbp),%xmm10 + movaps -80(%rbp),%xmm11 + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp + + popq %rbp + +.LSEH_epilogue_crypton_sha512_asm_block_data_order_avx: + mov 8(%rsp),%rdi + mov 16(%rsp),%rsi + + .byte 0xf3,0xc3 + +.LSEH_end_crypton_sha512_asm_block_data_order_avx: +.def crypton_sha512_asm_block_data_order_avx2; .scl 3; .type 32; .endef +.p2align 6 +crypton_sha512_asm_block_data_order_avx2: + .byte 0xf3,0x0f,0x1e,0xfa + movq %rdi,8(%rsp) + movq %rsi,16(%rsp) + movq %rsp,%r11 +.LSEH_begin_crypton_sha512_asm_block_data_order_avx2: + + + pushq %rbp + + movq %rsp,%rbp + + movq %rcx,%rdi + movq %rdx,%rsi + movq %r8,%rdx +.Lavx2_shortcut: + pushq %rbx + + pushq %r12 + + pushq %r13 + + pushq %r14 + + pushq %r15 + + shlq $4,%rdx + subq $120,%rsp + + leaq (%rsi,%rdx,8),%rdx + movq %rdi,-64(%rbp) + + movq %rdx,-48(%rbp) + movaps %xmm6,-160(%rbp) + movaps %xmm7,-144(%rbp) + movaps %xmm8,-128(%rbp) + movaps %xmm9,-112(%rbp) + + movaps %xmm10,-96(%rbp) + movaps %xmm11,-80(%rbp) + +.LSEH_body_crypton_sha512_asm_block_data_order_avx2: + + + leaq -128(%rsp),%rsp + vzeroupper + andq $-128,%rsp + subq $-128,%rsi + movq 0(%rdi),%rax + movq %rsi,%r12 + movq 8(%rdi),%rbx + cmpq %rdx,%rsi + movq 16(%rdi),%rcx + cmoveq %rsp,%r12 + movq 24(%rdi),%rdx + movq 32(%rdi),%r8 + movq 40(%rdi),%r9 + movq 48(%rdi),%r10 + movq 56(%rdi),%r11 + jmp .Loop_avx2 +.p2align 4 +.Loop_avx2: + vmovdqa K512+1280(%rip),%ymm10 + movq %rsi,-56(%rbp) + vmovdqu -128(%rsi),%xmm0 + vmovdqu -128+16(%rsi),%xmm1 + vmovdqu -128+32(%rsi),%xmm2 + vmovdqu -128+48(%rsi),%xmm3 + vmovdqu -128+64(%rsi),%xmm4 + vmovdqu -128+80(%rsi),%xmm5 + vmovdqu -128+96(%rsi),%xmm6 + vmovdqu -128+112(%rsi),%xmm7 + leaq K512+128(%rip),%rsi + vinserti128 $1,(%r12),%ymm0,%ymm0 + vinserti128 $1,16(%r12),%ymm1,%ymm1 + vpshufb %ymm10,%ymm0,%ymm0 + vinserti128 $1,32(%r12),%ymm2,%ymm2 + vpshufb %ymm10,%ymm1,%ymm1 + vinserti128 $1,48(%r12),%ymm3,%ymm3 + vpshufb %ymm10,%ymm2,%ymm2 + vinserti128 $1,64(%r12),%ymm4,%ymm4 + vpshufb %ymm10,%ymm3,%ymm3 + vinserti128 $1,80(%r12),%ymm5,%ymm5 + vpshufb %ymm10,%ymm4,%ymm4 + vinserti128 $1,96(%r12),%ymm6,%ymm6 + vpshufb %ymm10,%ymm5,%ymm5 + vinserti128 $1,112(%r12),%ymm7,%ymm7 + + vpaddq -128(%rsi),%ymm0,%ymm8 + vpshufb %ymm10,%ymm6,%ymm6 + vpaddq -96(%rsi),%ymm1,%ymm9 + vpshufb %ymm10,%ymm7,%ymm7 + vpaddq -64(%rsi),%ymm2,%ymm10 + vpaddq -32(%rsi),%ymm3,%ymm11 + vmovdqa %ymm8,0(%rsp) + vpaddq 0(%rsi),%ymm4,%ymm8 + vmovdqa %ymm9,32(%rsp) + vpaddq 32(%rsi),%ymm5,%ymm9 + vmovdqa %ymm10,64(%rsp) + vpaddq 64(%rsi),%ymm6,%ymm10 + vmovdqa %ymm11,96(%rsp) + leaq -128(%rsp),%rsp + vpaddq 96(%rsi),%ymm7,%ymm11 + vmovdqa %ymm8,0(%rsp) + xorq %r14,%r14 + vmovdqa %ymm9,32(%rsp) + movq %rbx,%rdi + vmovdqa %ymm10,64(%rsp) + xorq %rcx,%rdi + vmovdqa %ymm11,96(%rsp) + movq %r9,%r12 + addq $32*8,%rsi + jmp .Lavx2_00_47 + +.p2align 4 +.Lavx2_00_47: + leaq -128(%rsp),%rsp + vpalignr $8,%ymm0,%ymm1,%ymm8 + addq 0+256(%rsp),%r11 + andq %r8,%r12 + rorxq $41,%r8,%r13 + vpalignr $8,%ymm4,%ymm5,%ymm11 + rorxq $18,%r8,%r15 + leaq (%rax,%r14,1),%rax + leaq (%r11,%r12,1),%r11 + vpsrlq $1,%ymm8,%ymm10 + andnq %r10,%r8,%r12 + xorq %r15,%r13 + rorxq $14,%r8,%r14 + vpaddq %ymm11,%ymm0,%ymm0 + vpsrlq $7,%ymm8,%ymm11 + leaq (%r11,%r12,1),%r11 + xorq %r14,%r13 + movq %rax,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%rax,%r12 + leaq (%r11,%r13,1),%r11 + xorq %rbx,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%rax,%r14 + rorxq $28,%rax,%r13 + leaq (%rdx,%r11,1),%rdx + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rbx,%rdi + vpsrlq $6,%ymm7,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%r11,%rdi,1),%r11 + movq %r8,%r12 + vpsllq $3,%ymm7,%ymm10 + vpaddq %ymm8,%ymm0,%ymm0 + addq 8+256(%rsp),%r10 + andq %rdx,%r12 + rorxq $41,%rdx,%r13 + vpsrlq $19,%ymm7,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%rdx,%rdi + leaq (%r11,%r14,1),%r11 + leaq (%r10,%r12,1),%r10 + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %r9,%rdx,%r12 + xorq %rdi,%r13 + rorxq $14,%rdx,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%r10,%r12,1),%r10 + xorq %r14,%r13 + movq %r11,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%r11,%r12 + leaq (%r10,%r13,1),%r10 + xorq %rax,%rdi + vpaddq %ymm11,%ymm0,%ymm0 + rorxq $34,%r11,%r14 + rorxq $28,%r11,%r13 + leaq (%rcx,%r10,1),%rcx + vpaddq -128(%rsi),%ymm0,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rax,%r15 + xorq %r13,%r14 + leaq (%r10,%r15,1),%r10 + movq %rdx,%r12 + vmovdqa %ymm10,0(%rsp) + vpalignr $8,%ymm1,%ymm2,%ymm8 + addq 32+256(%rsp),%r9 + andq %rcx,%r12 + rorxq $41,%rcx,%r13 + vpalignr $8,%ymm5,%ymm6,%ymm11 + rorxq $18,%rcx,%r15 + leaq (%r10,%r14,1),%r10 + leaq (%r9,%r12,1),%r9 + vpsrlq $1,%ymm8,%ymm10 + andnq %r8,%rcx,%r12 + xorq %r15,%r13 + rorxq $14,%rcx,%r14 + vpaddq %ymm11,%ymm1,%ymm1 + vpsrlq $7,%ymm8,%ymm11 + leaq (%r9,%r12,1),%r9 + xorq %r14,%r13 + movq %r10,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%r10,%r12 + leaq (%r9,%r13,1),%r9 + xorq %r11,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%r10,%r14 + rorxq $28,%r10,%r13 + leaq (%rbx,%r9,1),%rbx + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r11,%rdi + vpsrlq $6,%ymm0,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%r9,%rdi,1),%r9 + movq %rcx,%r12 + vpsllq $3,%ymm0,%ymm10 + vpaddq %ymm8,%ymm1,%ymm1 + addq 40+256(%rsp),%r8 + andq %rbx,%r12 + rorxq $41,%rbx,%r13 + vpsrlq $19,%ymm0,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%rbx,%rdi + leaq (%r9,%r14,1),%r9 + leaq (%r8,%r12,1),%r8 + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %rdx,%rbx,%r12 + xorq %rdi,%r13 + rorxq $14,%rbx,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%r8,%r12,1),%r8 + xorq %r14,%r13 + movq %r9,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%r9,%r12 + leaq (%r8,%r13,1),%r8 + xorq %r10,%rdi + vpaddq %ymm11,%ymm1,%ymm1 + rorxq $34,%r9,%r14 + rorxq $28,%r9,%r13 + leaq (%rax,%r8,1),%rax + vpaddq -96(%rsi),%ymm1,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r10,%r15 + xorq %r13,%r14 + leaq (%r8,%r15,1),%r8 + movq %rbx,%r12 + vmovdqa %ymm10,32(%rsp) + vpalignr $8,%ymm2,%ymm3,%ymm8 + addq 64+256(%rsp),%rdx + andq %rax,%r12 + rorxq $41,%rax,%r13 + vpalignr $8,%ymm6,%ymm7,%ymm11 + rorxq $18,%rax,%r15 + leaq (%r8,%r14,1),%r8 + leaq (%rdx,%r12,1),%rdx + vpsrlq $1,%ymm8,%ymm10 + andnq %rcx,%rax,%r12 + xorq %r15,%r13 + rorxq $14,%rax,%r14 + vpaddq %ymm11,%ymm2,%ymm2 + vpsrlq $7,%ymm8,%ymm11 + leaq (%rdx,%r12,1),%rdx + xorq %r14,%r13 + movq %r8,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%r8,%r12 + leaq (%rdx,%r13,1),%rdx + xorq %r9,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%r8,%r14 + rorxq $28,%r8,%r13 + leaq (%r11,%rdx,1),%r11 + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r9,%rdi + vpsrlq $6,%ymm1,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%rdx,%rdi,1),%rdx + movq %rax,%r12 + vpsllq $3,%ymm1,%ymm10 + vpaddq %ymm8,%ymm2,%ymm2 + addq 72+256(%rsp),%rcx + andq %r11,%r12 + rorxq $41,%r11,%r13 + vpsrlq $19,%ymm1,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%r11,%rdi + leaq (%rdx,%r14,1),%rdx + leaq (%rcx,%r12,1),%rcx + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %rbx,%r11,%r12 + xorq %rdi,%r13 + rorxq $14,%r11,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%rcx,%r12,1),%rcx + xorq %r14,%r13 + movq %rdx,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%rdx,%r12 + leaq (%rcx,%r13,1),%rcx + xorq %r8,%rdi + vpaddq %ymm11,%ymm2,%ymm2 + rorxq $34,%rdx,%r14 + rorxq $28,%rdx,%r13 + leaq (%r10,%rcx,1),%r10 + vpaddq -64(%rsi),%ymm2,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r8,%r15 + xorq %r13,%r14 + leaq (%rcx,%r15,1),%rcx + movq %r11,%r12 + vmovdqa %ymm10,64(%rsp) + vpalignr $8,%ymm3,%ymm4,%ymm8 + addq 96+256(%rsp),%rbx + andq %r10,%r12 + rorxq $41,%r10,%r13 + vpalignr $8,%ymm7,%ymm0,%ymm11 + rorxq $18,%r10,%r15 + leaq (%rcx,%r14,1),%rcx + leaq (%rbx,%r12,1),%rbx + vpsrlq $1,%ymm8,%ymm10 + andnq %rax,%r10,%r12 + xorq %r15,%r13 + rorxq $14,%r10,%r14 + vpaddq %ymm11,%ymm3,%ymm3 + vpsrlq $7,%ymm8,%ymm11 + leaq (%rbx,%r12,1),%rbx + xorq %r14,%r13 + movq %rcx,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%rcx,%r12 + leaq (%rbx,%r13,1),%rbx + xorq %rdx,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%rcx,%r14 + rorxq $28,%rcx,%r13 + leaq (%r9,%rbx,1),%r9 + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rdx,%rdi + vpsrlq $6,%ymm2,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%rbx,%rdi,1),%rbx + movq %r10,%r12 + vpsllq $3,%ymm2,%ymm10 + vpaddq %ymm8,%ymm3,%ymm3 + addq 104+256(%rsp),%rax + andq %r9,%r12 + rorxq $41,%r9,%r13 + vpsrlq $19,%ymm2,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%r9,%rdi + leaq (%rbx,%r14,1),%rbx + leaq (%rax,%r12,1),%rax + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %r11,%r9,%r12 + xorq %rdi,%r13 + rorxq $14,%r9,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%rax,%r12,1),%rax + xorq %r14,%r13 + movq %rbx,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%rbx,%r12 + leaq (%rax,%r13,1),%rax + xorq %rcx,%rdi + vpaddq %ymm11,%ymm3,%ymm3 + rorxq $34,%rbx,%r14 + rorxq $28,%rbx,%r13 + leaq (%r8,%rax,1),%r8 + vpaddq -32(%rsi),%ymm3,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rcx,%r15 + xorq %r13,%r14 + leaq (%rax,%r15,1),%rax + movq %r9,%r12 + vmovdqa %ymm10,96(%rsp) + leaq -128(%rsp),%rsp + vpalignr $8,%ymm4,%ymm5,%ymm8 + addq 0+256(%rsp),%r11 + andq %r8,%r12 + rorxq $41,%r8,%r13 + vpalignr $8,%ymm0,%ymm1,%ymm11 + rorxq $18,%r8,%r15 + leaq (%rax,%r14,1),%rax + leaq (%r11,%r12,1),%r11 + vpsrlq $1,%ymm8,%ymm10 + andnq %r10,%r8,%r12 + xorq %r15,%r13 + rorxq $14,%r8,%r14 + vpaddq %ymm11,%ymm4,%ymm4 + vpsrlq $7,%ymm8,%ymm11 + leaq (%r11,%r12,1),%r11 + xorq %r14,%r13 + movq %rax,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%rax,%r12 + leaq (%r11,%r13,1),%r11 + xorq %rbx,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%rax,%r14 + rorxq $28,%rax,%r13 + leaq (%rdx,%r11,1),%rdx + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rbx,%rdi + vpsrlq $6,%ymm3,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%r11,%rdi,1),%r11 + movq %r8,%r12 + vpsllq $3,%ymm3,%ymm10 + vpaddq %ymm8,%ymm4,%ymm4 + addq 8+256(%rsp),%r10 + andq %rdx,%r12 + rorxq $41,%rdx,%r13 + vpsrlq $19,%ymm3,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%rdx,%rdi + leaq (%r11,%r14,1),%r11 + leaq (%r10,%r12,1),%r10 + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %r9,%rdx,%r12 + xorq %rdi,%r13 + rorxq $14,%rdx,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%r10,%r12,1),%r10 + xorq %r14,%r13 + movq %r11,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%r11,%r12 + leaq (%r10,%r13,1),%r10 + xorq %rax,%rdi + vpaddq %ymm11,%ymm4,%ymm4 + rorxq $34,%r11,%r14 + rorxq $28,%r11,%r13 + leaq (%rcx,%r10,1),%rcx + vpaddq 0(%rsi),%ymm4,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rax,%r15 + xorq %r13,%r14 + leaq (%r10,%r15,1),%r10 + movq %rdx,%r12 + vmovdqa %ymm10,0(%rsp) + vpalignr $8,%ymm5,%ymm6,%ymm8 + addq 32+256(%rsp),%r9 + andq %rcx,%r12 + rorxq $41,%rcx,%r13 + vpalignr $8,%ymm1,%ymm2,%ymm11 + rorxq $18,%rcx,%r15 + leaq (%r10,%r14,1),%r10 + leaq (%r9,%r12,1),%r9 + vpsrlq $1,%ymm8,%ymm10 + andnq %r8,%rcx,%r12 + xorq %r15,%r13 + rorxq $14,%rcx,%r14 + vpaddq %ymm11,%ymm5,%ymm5 + vpsrlq $7,%ymm8,%ymm11 + leaq (%r9,%r12,1),%r9 + xorq %r14,%r13 + movq %r10,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%r10,%r12 + leaq (%r9,%r13,1),%r9 + xorq %r11,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%r10,%r14 + rorxq $28,%r10,%r13 + leaq (%rbx,%r9,1),%rbx + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r11,%rdi + vpsrlq $6,%ymm4,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%r9,%rdi,1),%r9 + movq %rcx,%r12 + vpsllq $3,%ymm4,%ymm10 + vpaddq %ymm8,%ymm5,%ymm5 + addq 40+256(%rsp),%r8 + andq %rbx,%r12 + rorxq $41,%rbx,%r13 + vpsrlq $19,%ymm4,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%rbx,%rdi + leaq (%r9,%r14,1),%r9 + leaq (%r8,%r12,1),%r8 + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %rdx,%rbx,%r12 + xorq %rdi,%r13 + rorxq $14,%rbx,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%r8,%r12,1),%r8 + xorq %r14,%r13 + movq %r9,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%r9,%r12 + leaq (%r8,%r13,1),%r8 + xorq %r10,%rdi + vpaddq %ymm11,%ymm5,%ymm5 + rorxq $34,%r9,%r14 + rorxq $28,%r9,%r13 + leaq (%rax,%r8,1),%rax + vpaddq 32(%rsi),%ymm5,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r10,%r15 + xorq %r13,%r14 + leaq (%r8,%r15,1),%r8 + movq %rbx,%r12 + vmovdqa %ymm10,32(%rsp) + vpalignr $8,%ymm6,%ymm7,%ymm8 + addq 64+256(%rsp),%rdx + andq %rax,%r12 + rorxq $41,%rax,%r13 + vpalignr $8,%ymm2,%ymm3,%ymm11 + rorxq $18,%rax,%r15 + leaq (%r8,%r14,1),%r8 + leaq (%rdx,%r12,1),%rdx + vpsrlq $1,%ymm8,%ymm10 + andnq %rcx,%rax,%r12 + xorq %r15,%r13 + rorxq $14,%rax,%r14 + vpaddq %ymm11,%ymm6,%ymm6 + vpsrlq $7,%ymm8,%ymm11 + leaq (%rdx,%r12,1),%rdx + xorq %r14,%r13 + movq %r8,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%r8,%r12 + leaq (%rdx,%r13,1),%rdx + xorq %r9,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%r8,%r14 + rorxq $28,%r8,%r13 + leaq (%r11,%rdx,1),%r11 + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r9,%rdi + vpsrlq $6,%ymm5,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%rdx,%rdi,1),%rdx + movq %rax,%r12 + vpsllq $3,%ymm5,%ymm10 + vpaddq %ymm8,%ymm6,%ymm6 + addq 72+256(%rsp),%rcx + andq %r11,%r12 + rorxq $41,%r11,%r13 + vpsrlq $19,%ymm5,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%r11,%rdi + leaq (%rdx,%r14,1),%rdx + leaq (%rcx,%r12,1),%rcx + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %rbx,%r11,%r12 + xorq %rdi,%r13 + rorxq $14,%r11,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%rcx,%r12,1),%rcx + xorq %r14,%r13 + movq %rdx,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%rdx,%r12 + leaq (%rcx,%r13,1),%rcx + xorq %r8,%rdi + vpaddq %ymm11,%ymm6,%ymm6 + rorxq $34,%rdx,%r14 + rorxq $28,%rdx,%r13 + leaq (%r10,%rcx,1),%r10 + vpaddq 64(%rsi),%ymm6,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r8,%r15 + xorq %r13,%r14 + leaq (%rcx,%r15,1),%rcx + movq %r11,%r12 + vmovdqa %ymm10,64(%rsp) + vpalignr $8,%ymm7,%ymm0,%ymm8 + addq 96+256(%rsp),%rbx + andq %r10,%r12 + rorxq $41,%r10,%r13 + vpalignr $8,%ymm3,%ymm4,%ymm11 + rorxq $18,%r10,%r15 + leaq (%rcx,%r14,1),%rcx + leaq (%rbx,%r12,1),%rbx + vpsrlq $1,%ymm8,%ymm10 + andnq %rax,%r10,%r12 + xorq %r15,%r13 + rorxq $14,%r10,%r14 + vpaddq %ymm11,%ymm7,%ymm7 + vpsrlq $7,%ymm8,%ymm11 + leaq (%rbx,%r12,1),%rbx + xorq %r14,%r13 + movq %rcx,%r15 + vpsllq $56,%ymm8,%ymm9 + vpxor %ymm10,%ymm11,%ymm8 + rorxq $39,%rcx,%r12 + leaq (%rbx,%r13,1),%rbx + xorq %rdx,%r15 + vpsrlq $7,%ymm10,%ymm10 + vpxor %ymm9,%ymm8,%ymm8 + rorxq $34,%rcx,%r14 + rorxq $28,%rcx,%r13 + leaq (%r9,%rbx,1),%r9 + vpsllq $7,%ymm9,%ymm9 + vpxor %ymm10,%ymm8,%ymm8 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rdx,%rdi + vpsrlq $6,%ymm6,%ymm11 + vpxor %ymm9,%ymm8,%ymm8 + xorq %r13,%r14 + leaq (%rbx,%rdi,1),%rbx + movq %r10,%r12 + vpsllq $3,%ymm6,%ymm10 + vpaddq %ymm8,%ymm7,%ymm7 + addq 104+256(%rsp),%rax + andq %r9,%r12 + rorxq $41,%r9,%r13 + vpsrlq $19,%ymm6,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + rorxq $18,%r9,%rdi + leaq (%rbx,%r14,1),%rbx + leaq (%rax,%r12,1),%rax + vpsllq $42,%ymm10,%ymm10 + vpxor %ymm9,%ymm11,%ymm11 + andnq %r11,%r9,%r12 + xorq %rdi,%r13 + rorxq $14,%r9,%r14 + vpsrlq $42,%ymm9,%ymm9 + vpxor %ymm10,%ymm11,%ymm11 + leaq (%rax,%r12,1),%rax + xorq %r14,%r13 + movq %rbx,%rdi + vpxor %ymm9,%ymm11,%ymm11 + rorxq $39,%rbx,%r12 + leaq (%rax,%r13,1),%rax + xorq %rcx,%rdi + vpaddq %ymm11,%ymm7,%ymm7 + rorxq $34,%rbx,%r14 + rorxq $28,%rbx,%r13 + leaq (%r8,%rax,1),%r8 + vpaddq 96(%rsi),%ymm7,%ymm10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rcx,%r15 + xorq %r13,%r14 + leaq (%rax,%r15,1),%rax + movq %r9,%r12 + vmovdqa %ymm10,96(%rsp) + leaq 256(%rsi),%rsi + cmpb $0,-121(%rsi) + jne .Lavx2_00_47 + addq 0+128(%rsp),%r11 + andq %r8,%r12 + rorxq $41,%r8,%r13 + rorxq $18,%r8,%r15 + leaq (%rax,%r14,1),%rax + leaq (%r11,%r12,1),%r11 + andnq %r10,%r8,%r12 + xorq %r15,%r13 + rorxq $14,%r8,%r14 + leaq (%r11,%r12,1),%r11 + xorq %r14,%r13 + movq %rax,%r15 + rorxq $39,%rax,%r12 + leaq (%r11,%r13,1),%r11 + xorq %rbx,%r15 + rorxq $34,%rax,%r14 + rorxq $28,%rax,%r13 + leaq (%rdx,%r11,1),%rdx + andq %r15,%rdi + xorq %r12,%r14 + xorq %rbx,%rdi + xorq %r13,%r14 + leaq (%r11,%rdi,1),%r11 + movq %r8,%r12 + addq 8+128(%rsp),%r10 + andq %rdx,%r12 + rorxq $41,%rdx,%r13 + rorxq $18,%rdx,%rdi + leaq (%r11,%r14,1),%r11 + leaq (%r10,%r12,1),%r10 + andnq %r9,%rdx,%r12 + xorq %rdi,%r13 + rorxq $14,%rdx,%r14 + leaq (%r10,%r12,1),%r10 + xorq %r14,%r13 + movq %r11,%rdi + rorxq $39,%r11,%r12 + leaq (%r10,%r13,1),%r10 + xorq %rax,%rdi + rorxq $34,%r11,%r14 + rorxq $28,%r11,%r13 + leaq (%rcx,%r10,1),%rcx + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rax,%r15 + xorq %r13,%r14 + leaq (%r10,%r15,1),%r10 + movq %rdx,%r12 + addq 32+128(%rsp),%r9 + andq %rcx,%r12 + rorxq $41,%rcx,%r13 + rorxq $18,%rcx,%r15 + leaq (%r10,%r14,1),%r10 + leaq (%r9,%r12,1),%r9 + andnq %r8,%rcx,%r12 + xorq %r15,%r13 + rorxq $14,%rcx,%r14 + leaq (%r9,%r12,1),%r9 + xorq %r14,%r13 + movq %r10,%r15 + rorxq $39,%r10,%r12 + leaq (%r9,%r13,1),%r9 + xorq %r11,%r15 + rorxq $34,%r10,%r14 + rorxq $28,%r10,%r13 + leaq (%rbx,%r9,1),%rbx + andq %r15,%rdi + xorq %r12,%r14 + xorq %r11,%rdi + xorq %r13,%r14 + leaq (%r9,%rdi,1),%r9 + movq %rcx,%r12 + addq 40+128(%rsp),%r8 + andq %rbx,%r12 + rorxq $41,%rbx,%r13 + rorxq $18,%rbx,%rdi + leaq (%r9,%r14,1),%r9 + leaq (%r8,%r12,1),%r8 + andnq %rdx,%rbx,%r12 + xorq %rdi,%r13 + rorxq $14,%rbx,%r14 + leaq (%r8,%r12,1),%r8 + xorq %r14,%r13 + movq %r9,%rdi + rorxq $39,%r9,%r12 + leaq (%r8,%r13,1),%r8 + xorq %r10,%rdi + rorxq $34,%r9,%r14 + rorxq $28,%r9,%r13 + leaq (%rax,%r8,1),%rax + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r10,%r15 + xorq %r13,%r14 + leaq (%r8,%r15,1),%r8 + movq %rbx,%r12 + addq 64+128(%rsp),%rdx + andq %rax,%r12 + rorxq $41,%rax,%r13 + rorxq $18,%rax,%r15 + leaq (%r8,%r14,1),%r8 + leaq (%rdx,%r12,1),%rdx + andnq %rcx,%rax,%r12 + xorq %r15,%r13 + rorxq $14,%rax,%r14 + leaq (%rdx,%r12,1),%rdx + xorq %r14,%r13 + movq %r8,%r15 + rorxq $39,%r8,%r12 + leaq (%rdx,%r13,1),%rdx + xorq %r9,%r15 + rorxq $34,%r8,%r14 + rorxq $28,%r8,%r13 + leaq (%r11,%rdx,1),%r11 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r9,%rdi + xorq %r13,%r14 + leaq (%rdx,%rdi,1),%rdx + movq %rax,%r12 + addq 72+128(%rsp),%rcx + andq %r11,%r12 + rorxq $41,%r11,%r13 + rorxq $18,%r11,%rdi + leaq (%rdx,%r14,1),%rdx + leaq (%rcx,%r12,1),%rcx + andnq %rbx,%r11,%r12 + xorq %rdi,%r13 + rorxq $14,%r11,%r14 + leaq (%rcx,%r12,1),%rcx + xorq %r14,%r13 + movq %rdx,%rdi + rorxq $39,%rdx,%r12 + leaq (%rcx,%r13,1),%rcx + xorq %r8,%rdi + rorxq $34,%rdx,%r14 + rorxq $28,%rdx,%r13 + leaq (%r10,%rcx,1),%r10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r8,%r15 + xorq %r13,%r14 + leaq (%rcx,%r15,1),%rcx + movq %r11,%r12 + addq 96+128(%rsp),%rbx + andq %r10,%r12 + rorxq $41,%r10,%r13 + rorxq $18,%r10,%r15 + leaq (%rcx,%r14,1),%rcx + leaq (%rbx,%r12,1),%rbx + andnq %rax,%r10,%r12 + xorq %r15,%r13 + rorxq $14,%r10,%r14 + leaq (%rbx,%r12,1),%rbx + xorq %r14,%r13 + movq %rcx,%r15 + rorxq $39,%rcx,%r12 + leaq (%rbx,%r13,1),%rbx + xorq %rdx,%r15 + rorxq $34,%rcx,%r14 + rorxq $28,%rcx,%r13 + leaq (%r9,%rbx,1),%r9 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rdx,%rdi + xorq %r13,%r14 + leaq (%rbx,%rdi,1),%rbx + movq %r10,%r12 + addq 104+128(%rsp),%rax + andq %r9,%r12 + rorxq $41,%r9,%r13 + rorxq $18,%r9,%rdi + leaq (%rbx,%r14,1),%rbx + leaq (%rax,%r12,1),%rax + andnq %r11,%r9,%r12 + xorq %rdi,%r13 + rorxq $14,%r9,%r14 + leaq (%rax,%r12,1),%rax + xorq %r14,%r13 + movq %rbx,%rdi + rorxq $39,%rbx,%r12 + leaq (%rax,%r13,1),%rax + xorq %rcx,%rdi + rorxq $34,%rbx,%r14 + rorxq $28,%rbx,%r13 + leaq (%r8,%rax,1),%r8 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rcx,%r15 + xorq %r13,%r14 + leaq (%rax,%r15,1),%rax + movq %r9,%r12 + addq 0(%rsp),%r11 + andq %r8,%r12 + rorxq $41,%r8,%r13 + rorxq $18,%r8,%r15 + leaq (%rax,%r14,1),%rax + leaq (%r11,%r12,1),%r11 + andnq %r10,%r8,%r12 + xorq %r15,%r13 + rorxq $14,%r8,%r14 + leaq (%r11,%r12,1),%r11 + xorq %r14,%r13 + movq %rax,%r15 + rorxq $39,%rax,%r12 + leaq (%r11,%r13,1),%r11 + xorq %rbx,%r15 + rorxq $34,%rax,%r14 + rorxq $28,%rax,%r13 + leaq (%rdx,%r11,1),%rdx + andq %r15,%rdi + xorq %r12,%r14 + xorq %rbx,%rdi + xorq %r13,%r14 + leaq (%r11,%rdi,1),%r11 + movq %r8,%r12 + addq 8(%rsp),%r10 + andq %rdx,%r12 + rorxq $41,%rdx,%r13 + rorxq $18,%rdx,%rdi + leaq (%r11,%r14,1),%r11 + leaq (%r10,%r12,1),%r10 + andnq %r9,%rdx,%r12 + xorq %rdi,%r13 + rorxq $14,%rdx,%r14 + leaq (%r10,%r12,1),%r10 + xorq %r14,%r13 + movq %r11,%rdi + rorxq $39,%r11,%r12 + leaq (%r10,%r13,1),%r10 + xorq %rax,%rdi + rorxq $34,%r11,%r14 + rorxq $28,%r11,%r13 + leaq (%rcx,%r10,1),%rcx + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rax,%r15 + xorq %r13,%r14 + leaq (%r10,%r15,1),%r10 + movq %rdx,%r12 + addq 32(%rsp),%r9 + andq %rcx,%r12 + rorxq $41,%rcx,%r13 + rorxq $18,%rcx,%r15 + leaq (%r10,%r14,1),%r10 + leaq (%r9,%r12,1),%r9 + andnq %r8,%rcx,%r12 + xorq %r15,%r13 + rorxq $14,%rcx,%r14 + leaq (%r9,%r12,1),%r9 + xorq %r14,%r13 + movq %r10,%r15 + rorxq $39,%r10,%r12 + leaq (%r9,%r13,1),%r9 + xorq %r11,%r15 + rorxq $34,%r10,%r14 + rorxq $28,%r10,%r13 + leaq (%rbx,%r9,1),%rbx + andq %r15,%rdi + xorq %r12,%r14 + xorq %r11,%rdi + xorq %r13,%r14 + leaq (%r9,%rdi,1),%r9 + movq %rcx,%r12 + addq 40(%rsp),%r8 + andq %rbx,%r12 + rorxq $41,%rbx,%r13 + rorxq $18,%rbx,%rdi + leaq (%r9,%r14,1),%r9 + leaq (%r8,%r12,1),%r8 + andnq %rdx,%rbx,%r12 + xorq %rdi,%r13 + rorxq $14,%rbx,%r14 + leaq (%r8,%r12,1),%r8 + xorq %r14,%r13 + movq %r9,%rdi + rorxq $39,%r9,%r12 + leaq (%r8,%r13,1),%r8 + xorq %r10,%rdi + rorxq $34,%r9,%r14 + rorxq $28,%r9,%r13 + leaq (%rax,%r8,1),%rax + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r10,%r15 + xorq %r13,%r14 + leaq (%r8,%r15,1),%r8 + movq %rbx,%r12 + addq 64(%rsp),%rdx + andq %rax,%r12 + rorxq $41,%rax,%r13 + rorxq $18,%rax,%r15 + leaq (%r8,%r14,1),%r8 + leaq (%rdx,%r12,1),%rdx + andnq %rcx,%rax,%r12 + xorq %r15,%r13 + rorxq $14,%rax,%r14 + leaq (%rdx,%r12,1),%rdx + xorq %r14,%r13 + movq %r8,%r15 + rorxq $39,%r8,%r12 + leaq (%rdx,%r13,1),%rdx + xorq %r9,%r15 + rorxq $34,%r8,%r14 + rorxq $28,%r8,%r13 + leaq (%r11,%rdx,1),%r11 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r9,%rdi + xorq %r13,%r14 + leaq (%rdx,%rdi,1),%rdx + movq %rax,%r12 + addq 72(%rsp),%rcx + andq %r11,%r12 + rorxq $41,%r11,%r13 + rorxq $18,%r11,%rdi + leaq (%rdx,%r14,1),%rdx + leaq (%rcx,%r12,1),%rcx + andnq %rbx,%r11,%r12 + xorq %rdi,%r13 + rorxq $14,%r11,%r14 + leaq (%rcx,%r12,1),%rcx + xorq %r14,%r13 + movq %rdx,%rdi + rorxq $39,%rdx,%r12 + leaq (%rcx,%r13,1),%rcx + xorq %r8,%rdi + rorxq $34,%rdx,%r14 + rorxq $28,%rdx,%r13 + leaq (%r10,%rcx,1),%r10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r8,%r15 + xorq %r13,%r14 + leaq (%rcx,%r15,1),%rcx + movq %r11,%r12 + addq 96(%rsp),%rbx + andq %r10,%r12 + rorxq $41,%r10,%r13 + rorxq $18,%r10,%r15 + leaq (%rcx,%r14,1),%rcx + leaq (%rbx,%r12,1),%rbx + andnq %rax,%r10,%r12 + xorq %r15,%r13 + rorxq $14,%r10,%r14 + leaq (%rbx,%r12,1),%rbx + xorq %r14,%r13 + movq %rcx,%r15 + rorxq $39,%rcx,%r12 + leaq (%rbx,%r13,1),%rbx + xorq %rdx,%r15 + rorxq $34,%rcx,%r14 + rorxq $28,%rcx,%r13 + leaq (%r9,%rbx,1),%r9 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rdx,%rdi + xorq %r13,%r14 + leaq (%rbx,%rdi,1),%rbx + movq %r10,%r12 + addq 104(%rsp),%rax + andq %r9,%r12 + rorxq $41,%r9,%r13 + rorxq $18,%r9,%rdi + leaq (%rbx,%r14,1),%rbx + leaq (%rax,%r12,1),%rax + andnq %r11,%r9,%r12 + xorq %rdi,%r13 + rorxq $14,%r9,%r14 + leaq (%rax,%r12,1),%rax + xorq %r14,%r13 + movq %rbx,%rdi + rorxq $39,%rbx,%r12 + leaq (%rax,%r13,1),%rax + xorq %rcx,%rdi + rorxq $34,%rbx,%r14 + rorxq $28,%rbx,%r13 + leaq (%r8,%rax,1),%r8 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rcx,%r15 + xorq %r13,%r14 + leaq (%rax,%r15,1),%rax + movq %r9,%r12 + movq -64(%rbp),%rdi + addq %r14,%rax + movq -56(%rbp),%r12 + + addq 0(%rdi),%rax + addq 8(%rdi),%rbx + addq 16(%rdi),%rcx + addq 24(%rdi),%rdx + addq 32(%rdi),%r8 + addq 40(%rdi),%r9 + addq 48(%rdi),%r10 + addq 56(%rdi),%r11 + + movq %rax,0(%rdi) + movq %rbx,8(%rdi) + movq %rcx,16(%rdi) + movq %rdx,24(%rdi) + movq %r8,32(%rdi) + movq %r9,40(%rdi) + movq %r10,48(%rdi) + movq %r11,56(%rdi) + + cmpq -48(%rbp),%r12 + je .Ldone_avx2 + + leaq 1152(%rsp),%rsi + xorq %r14,%r14 + movq %rbx,%rdi + xorq %rcx,%rdi + movq %r9,%r12 + jmp .Lower_avx2 +.p2align 4 +.Lower_avx2: + addq 0+16(%rsi),%r11 + andq %r8,%r12 + rorxq $41,%r8,%r13 + rorxq $18,%r8,%r15 + leaq (%rax,%r14,1),%rax + leaq (%r11,%r12,1),%r11 + andnq %r10,%r8,%r12 + xorq %r15,%r13 + rorxq $14,%r8,%r14 + leaq (%r11,%r12,1),%r11 + xorq %r14,%r13 + movq %rax,%r15 + rorxq $39,%rax,%r12 + leaq (%r11,%r13,1),%r11 + xorq %rbx,%r15 + rorxq $34,%rax,%r14 + rorxq $28,%rax,%r13 + leaq (%rdx,%r11,1),%rdx + andq %r15,%rdi + xorq %r12,%r14 + xorq %rbx,%rdi + xorq %r13,%r14 + leaq (%r11,%rdi,1),%r11 + movq %r8,%r12 + addq 8+16(%rsi),%r10 + andq %rdx,%r12 + rorxq $41,%rdx,%r13 + rorxq $18,%rdx,%rdi + leaq (%r11,%r14,1),%r11 + leaq (%r10,%r12,1),%r10 + andnq %r9,%rdx,%r12 + xorq %rdi,%r13 + rorxq $14,%rdx,%r14 + leaq (%r10,%r12,1),%r10 + xorq %r14,%r13 + movq %r11,%rdi + rorxq $39,%r11,%r12 + leaq (%r10,%r13,1),%r10 + xorq %rax,%rdi + rorxq $34,%r11,%r14 + rorxq $28,%r11,%r13 + leaq (%rcx,%r10,1),%rcx + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rax,%r15 + xorq %r13,%r14 + leaq (%r10,%r15,1),%r10 + movq %rdx,%r12 + addq 32+16(%rsi),%r9 + andq %rcx,%r12 + rorxq $41,%rcx,%r13 + rorxq $18,%rcx,%r15 + leaq (%r10,%r14,1),%r10 + leaq (%r9,%r12,1),%r9 + andnq %r8,%rcx,%r12 + xorq %r15,%r13 + rorxq $14,%rcx,%r14 + leaq (%r9,%r12,1),%r9 + xorq %r14,%r13 + movq %r10,%r15 + rorxq $39,%r10,%r12 + leaq (%r9,%r13,1),%r9 + xorq %r11,%r15 + rorxq $34,%r10,%r14 + rorxq $28,%r10,%r13 + leaq (%rbx,%r9,1),%rbx + andq %r15,%rdi + xorq %r12,%r14 + xorq %r11,%rdi + xorq %r13,%r14 + leaq (%r9,%rdi,1),%r9 + movq %rcx,%r12 + addq 40+16(%rsi),%r8 + andq %rbx,%r12 + rorxq $41,%rbx,%r13 + rorxq $18,%rbx,%rdi + leaq (%r9,%r14,1),%r9 + leaq (%r8,%r12,1),%r8 + andnq %rdx,%rbx,%r12 + xorq %rdi,%r13 + rorxq $14,%rbx,%r14 + leaq (%r8,%r12,1),%r8 + xorq %r14,%r13 + movq %r9,%rdi + rorxq $39,%r9,%r12 + leaq (%r8,%r13,1),%r8 + xorq %r10,%rdi + rorxq $34,%r9,%r14 + rorxq $28,%r9,%r13 + leaq (%rax,%r8,1),%rax + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r10,%r15 + xorq %r13,%r14 + leaq (%r8,%r15,1),%r8 + movq %rbx,%r12 + addq 64+16(%rsi),%rdx + andq %rax,%r12 + rorxq $41,%rax,%r13 + rorxq $18,%rax,%r15 + leaq (%r8,%r14,1),%r8 + leaq (%rdx,%r12,1),%rdx + andnq %rcx,%rax,%r12 + xorq %r15,%r13 + rorxq $14,%rax,%r14 + leaq (%rdx,%r12,1),%rdx + xorq %r14,%r13 + movq %r8,%r15 + rorxq $39,%r8,%r12 + leaq (%rdx,%r13,1),%rdx + xorq %r9,%r15 + rorxq $34,%r8,%r14 + rorxq $28,%r8,%r13 + leaq (%r11,%rdx,1),%r11 + andq %r15,%rdi + xorq %r12,%r14 + xorq %r9,%rdi + xorq %r13,%r14 + leaq (%rdx,%rdi,1),%rdx + movq %rax,%r12 + addq 72+16(%rsi),%rcx + andq %r11,%r12 + rorxq $41,%r11,%r13 + rorxq $18,%r11,%rdi + leaq (%rdx,%r14,1),%rdx + leaq (%rcx,%r12,1),%rcx + andnq %rbx,%r11,%r12 + xorq %rdi,%r13 + rorxq $14,%r11,%r14 + leaq (%rcx,%r12,1),%rcx + xorq %r14,%r13 + movq %rdx,%rdi + rorxq $39,%rdx,%r12 + leaq (%rcx,%r13,1),%rcx + xorq %r8,%rdi + rorxq $34,%rdx,%r14 + rorxq $28,%rdx,%r13 + leaq (%r10,%rcx,1),%r10 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %r8,%r15 + xorq %r13,%r14 + leaq (%rcx,%r15,1),%rcx + movq %r11,%r12 + addq 96+16(%rsi),%rbx + andq %r10,%r12 + rorxq $41,%r10,%r13 + rorxq $18,%r10,%r15 + leaq (%rcx,%r14,1),%rcx + leaq (%rbx,%r12,1),%rbx + andnq %rax,%r10,%r12 + xorq %r15,%r13 + rorxq $14,%r10,%r14 + leaq (%rbx,%r12,1),%rbx + xorq %r14,%r13 + movq %rcx,%r15 + rorxq $39,%rcx,%r12 + leaq (%rbx,%r13,1),%rbx + xorq %rdx,%r15 + rorxq $34,%rcx,%r14 + rorxq $28,%rcx,%r13 + leaq (%r9,%rbx,1),%r9 + andq %r15,%rdi + xorq %r12,%r14 + xorq %rdx,%rdi + xorq %r13,%r14 + leaq (%rbx,%rdi,1),%rbx + movq %r10,%r12 + addq 104+16(%rsi),%rax + andq %r9,%r12 + rorxq $41,%r9,%r13 + rorxq $18,%r9,%rdi + leaq (%rbx,%r14,1),%rbx + leaq (%rax,%r12,1),%rax + andnq %r11,%r9,%r12 + xorq %rdi,%r13 + rorxq $14,%r9,%r14 + leaq (%rax,%r12,1),%rax + xorq %r14,%r13 + movq %rbx,%rdi + rorxq $39,%rbx,%r12 + leaq (%rax,%r13,1),%rax + xorq %rcx,%rdi + rorxq $34,%rbx,%r14 + rorxq $28,%rbx,%r13 + leaq (%r8,%rax,1),%r8 + andq %rdi,%r15 + xorq %r12,%r14 + xorq %rcx,%r15 + xorq %r13,%r14 + leaq (%rax,%r15,1),%rax + movq %r9,%r12 + leaq -128(%rsi),%rsi + cmpq %rsp,%rsi + jae .Lower_avx2 + + movq -64(%rbp),%rdi + addq %r14,%rax + movq -56(%rbp),%rsi + leaq 1152(%rsp),%rsp + + addq 0(%rdi),%rax + addq 8(%rdi),%rbx + addq 16(%rdi),%rcx + addq 24(%rdi),%rdx + addq 32(%rdi),%r8 + addq 40(%rdi),%r9 + leaq 256(%rsi),%rsi + addq 48(%rdi),%r10 + movq %rsi,%r12 + addq 56(%rdi),%r11 + cmpq -48(%rbp),%rsi + + movq %rax,0(%rdi) + cmoveq %rsp,%r12 + movq %rbx,8(%rdi) + movq %rcx,16(%rdi) + movq %rdx,24(%rdi) + movq %r8,32(%rdi) + movq %r9,40(%rdi) + movq %r10,48(%rdi) + movq %r11,56(%rdi) + + jbe .Loop_avx2 + +.Ldone_avx2: + vzeroupper + movaps -160(%rbp),%xmm6 + movaps -144(%rbp),%xmm7 + movaps -128(%rbp),%xmm8 + movaps -112(%rbp),%xmm9 + movaps -96(%rbp),%xmm10 + movaps -80(%rbp),%xmm11 + movq -40(%rbp),%r15 + movq -32(%rbp),%r14 + movq -24(%rbp),%r13 + movq -16(%rbp),%r12 + movq -8(%rbp),%rbx + movq %rbp,%rsp + + popq %rbp + +.LSEH_epilogue_crypton_sha512_asm_block_data_order_avx2: + mov 8(%rsp),%rdi + mov 16(%rsp),%rsi + + .byte 0xf3,0xc3 + +.LSEH_end_crypton_sha512_asm_block_data_order_avx2: +.section .pdata +.p2align 2 +.rva .LSEH_begin_crypton_sha512_asm_block_data_order +.rva .LSEH_body_crypton_sha512_asm_block_data_order +.rva .LSEH_info_crypton_sha512_asm_block_data_order_prologue + +.rva .LSEH_body_crypton_sha512_asm_block_data_order +.rva .LSEH_epilogue_crypton_sha512_asm_block_data_order +.rva .LSEH_info_crypton_sha512_asm_block_data_order_body + +.rva .LSEH_epilogue_crypton_sha512_asm_block_data_order +.rva .LSEH_end_crypton_sha512_asm_block_data_order +.rva .LSEH_info_crypton_sha512_asm_block_data_order_epilogue + +.rva .LSEH_begin_crypton_sha512_asm_block_data_order_shaext +.rva .LSEH_body_crypton_sha512_asm_block_data_order_shaext +.rva .LSEH_info_crypton_sha512_asm_block_data_order_shaext_prologue + +.rva .LSEH_body_crypton_sha512_asm_block_data_order_shaext +.rva .LSEH_epilogue_crypton_sha512_asm_block_data_order_shaext +.rva .LSEH_info_crypton_sha512_asm_block_data_order_shaext_body + +.rva .LSEH_epilogue_crypton_sha512_asm_block_data_order_shaext +.rva .LSEH_end_crypton_sha512_asm_block_data_order_shaext +.rva .LSEH_info_crypton_sha512_asm_block_data_order_shaext_epilogue + +.rva .LSEH_begin_crypton_sha512_asm_block_data_order_xop +.rva .LSEH_body_crypton_sha512_asm_block_data_order_xop +.rva .LSEH_info_crypton_sha512_asm_block_data_order_xop_prologue + +.rva .LSEH_body_crypton_sha512_asm_block_data_order_xop +.rva .LSEH_epilogue_crypton_sha512_asm_block_data_order_xop +.rva .LSEH_info_crypton_sha512_asm_block_data_order_xop_body + +.rva .LSEH_epilogue_crypton_sha512_asm_block_data_order_xop +.rva .LSEH_end_crypton_sha512_asm_block_data_order_xop +.rva .LSEH_info_crypton_sha512_asm_block_data_order_xop_epilogue + +.rva .LSEH_begin_crypton_sha512_asm_block_data_order_avx +.rva .LSEH_body_crypton_sha512_asm_block_data_order_avx +.rva .LSEH_info_crypton_sha512_asm_block_data_order_avx_prologue + +.rva .LSEH_body_crypton_sha512_asm_block_data_order_avx +.rva .LSEH_epilogue_crypton_sha512_asm_block_data_order_avx +.rva .LSEH_info_crypton_sha512_asm_block_data_order_avx_body + +.rva .LSEH_epilogue_crypton_sha512_asm_block_data_order_avx +.rva .LSEH_end_crypton_sha512_asm_block_data_order_avx +.rva .LSEH_info_crypton_sha512_asm_block_data_order_avx_epilogue + +.rva .LSEH_begin_crypton_sha512_asm_block_data_order_avx2 +.rva .LSEH_body_crypton_sha512_asm_block_data_order_avx2 +.rva .LSEH_info_crypton_sha512_asm_block_data_order_avx2_prologue + +.rva .LSEH_body_crypton_sha512_asm_block_data_order_avx2 +.rva .LSEH_epilogue_crypton_sha512_asm_block_data_order_avx2 +.rva .LSEH_info_crypton_sha512_asm_block_data_order_avx2_body + +.rva .LSEH_epilogue_crypton_sha512_asm_block_data_order_avx2 +.rva .LSEH_end_crypton_sha512_asm_block_data_order_avx2 +.rva .LSEH_info_crypton_sha512_asm_block_data_order_avx2_epilogue + +.section .xdata +.p2align 3 +.LSEH_info_crypton_sha512_asm_block_data_order_prologue: +.byte 1,4,6,0x05 +.byte 4,0x74,2,0 +.byte 4,0x64,3,0 +.byte 4,0x53 +.byte 1,0x50 +.long 0,0 +.LSEH_info_crypton_sha512_asm_block_data_order_body: +.byte 1,0,18,0 +.byte 0x00,0xf4,0x13,0x00 +.byte 0x00,0xe4,0x14,0x00 +.byte 0x00,0xd4,0x15,0x00 +.byte 0x00,0xc4,0x16,0x00 +.byte 0x00,0x34,0x17,0x00 +.byte 0x00,0x54,0x18,0x00 +.byte 0x00,0x74,0x1a,0x00 +.byte 0x00,0x64,0x1b,0x00 +.byte 0x00,0x01,0x19,0x00 +.byte 0x00,0x00,0x00,0x00 +.byte 0x00,0x00,0x00,0x00 +.LSEH_info_crypton_sha512_asm_block_data_order_epilogue: +.byte 1,0,5,11 +.byte 0x00,0x74,0x01,0x00 +.byte 0x00,0x64,0x02,0x00 +.byte 0x00,0xb3 +.byte 0x00,0x00,0x00,0x00,0x00,0x00 +.byte 0x00,0x00,0x00,0x00 + +.LSEH_info_crypton_sha512_asm_block_data_order_shaext_prologue: +.byte 1,4,6,0x05 +.byte 4,0x74,2,0 +.byte 4,0x64,3,0 +.byte 4,0x53 +.byte 1,0x50 +.long 0,0 +.LSEH_info_crypton_sha512_asm_block_data_order_shaext_body: +.byte 1,0,17,85 +.byte 0x00,0x68,0x00,0x00 +.byte 0x00,0x78,0x01,0x00 +.byte 0x00,0x88,0x02,0x00 +.byte 0x00,0x98,0x03,0x00 +.byte 0x00,0xa8,0x04,0x00 +.byte 0x00,0x74,0x0c,0x00 +.byte 0x00,0x64,0x0d,0x00 +.byte 0x00,0x53 +.byte 0x00,0x92 +.byte 0x00,0x50 +.byte 0x00,0x00,0x00,0x00,0x00,0x00 +.byte 0x00,0x00,0x00,0x00 +.LSEH_info_crypton_sha512_asm_block_data_order_shaext_epilogue: +.byte 1,0,4,0 +.byte 0x00,0x74,0x01,0x00 +.byte 0x00,0x64,0x02,0x00 +.byte 0x00,0x00,0x00,0x00 + +.LSEH_info_crypton_sha512_asm_block_data_order_xop_prologue: +.byte 1,4,6,0x05 +.byte 4,0x74,2,0 +.byte 4,0x64,3,0 +.byte 4,0x53 +.byte 1,0x50 +.long 0,0 +.LSEH_info_crypton_sha512_asm_block_data_order_xop_body: +.byte 1,0,30,165 +.byte 0x00,0x68,0x00,0x00 +.byte 0x00,0x78,0x01,0x00 +.byte 0x00,0x88,0x02,0x00 +.byte 0x00,0x98,0x03,0x00 +.byte 0x00,0xa8,0x04,0x00 +.byte 0x00,0xb8,0x05,0x00 +.byte 0x00,0xf4,0x0f,0x00 +.byte 0x00,0xe4,0x10,0x00 +.byte 0x00,0xd4,0x11,0x00 +.byte 0x00,0xc4,0x12,0x00 +.byte 0x00,0x34,0x13,0x00 +.byte 0x00,0x74,0x16,0x00 +.byte 0x00,0x64,0x17,0x00 +.byte 0x00,0x53 +.byte 0x00,0x01,0x14,0x00 +.byte 0x00,0x50 +.byte 0x00,0x00,0x00,0x00 +.byte 0x00,0x00,0x00,0x00 +.LSEH_info_crypton_sha512_asm_block_data_order_xop_epilogue: +.byte 1,0,4,0 +.byte 0x00,0x74,0x01,0x00 +.byte 0x00,0x64,0x02,0x00 +.byte 0x00,0x00,0x00,0x00 + +.LSEH_info_crypton_sha512_asm_block_data_order_avx_prologue: +.byte 1,4,6,0x05 +.byte 4,0x74,2,0 +.byte 4,0x64,3,0 +.byte 4,0x53 +.byte 1,0x50 +.long 0,0 +.LSEH_info_crypton_sha512_asm_block_data_order_avx_body: +.byte 1,0,30,165 +.byte 0x00,0x68,0x00,0x00 +.byte 0x00,0x78,0x01,0x00 +.byte 0x00,0x88,0x02,0x00 +.byte 0x00,0x98,0x03,0x00 +.byte 0x00,0xa8,0x04,0x00 +.byte 0x00,0xb8,0x05,0x00 +.byte 0x00,0xf4,0x0f,0x00 +.byte 0x00,0xe4,0x10,0x00 +.byte 0x00,0xd4,0x11,0x00 +.byte 0x00,0xc4,0x12,0x00 +.byte 0x00,0x34,0x13,0x00 +.byte 0x00,0x74,0x16,0x00 +.byte 0x00,0x64,0x17,0x00 +.byte 0x00,0x53 +.byte 0x00,0x01,0x14,0x00 +.byte 0x00,0x50 +.byte 0x00,0x00,0x00,0x00 +.byte 0x00,0x00,0x00,0x00 +.LSEH_info_crypton_sha512_asm_block_data_order_avx_epilogue: +.byte 1,0,4,0 +.byte 0x00,0x74,0x01,0x00 +.byte 0x00,0x64,0x02,0x00 +.byte 0x00,0x00,0x00,0x00 + +.LSEH_info_crypton_sha512_asm_block_data_order_avx2_prologue: +.byte 1,4,6,0x05 +.byte 4,0x74,2,0 +.byte 4,0x64,3,0 +.byte 4,0x53 +.byte 1,0x50 +.long 0,0 +.LSEH_info_crypton_sha512_asm_block_data_order_avx2_body: +.byte 1,0,30,165 +.byte 0x00,0x68,0x00,0x00 +.byte 0x00,0x78,0x01,0x00 +.byte 0x00,0x88,0x02,0x00 +.byte 0x00,0x98,0x03,0x00 +.byte 0x00,0xa8,0x04,0x00 +.byte 0x00,0xb8,0x05,0x00 +.byte 0x00,0xf4,0x0f,0x00 +.byte 0x00,0xe4,0x10,0x00 +.byte 0x00,0xd4,0x11,0x00 +.byte 0x00,0xc4,0x12,0x00 +.byte 0x00,0x34,0x13,0x00 +.byte 0x00,0x74,0x16,0x00 +.byte 0x00,0x64,0x17,0x00 +.byte 0x00,0x53 +.byte 0x00,0x01,0x14,0x00 +.byte 0x00,0x50 +.byte 0x00,0x00,0x00,0x00 +.byte 0x00,0x00,0x00,0x00 +.LSEH_info_crypton_sha512_asm_block_data_order_avx2_epilogue: +.byte 1,0,4,0 +.byte 0x00,0x74,0x01,0x00 +.byte 0x00,0x64,0x02,0x00 +.byte 0x00,0x00,0x00,0x00 + diff --git a/cbits/asm/sha512-x86_64.pl b/cbits/asm/sha512-x86_64.pl new file mode 100644 --- /dev/null +++ b/cbits/asm/sha512-x86_64.pl @@ -0,0 +1,2519 @@ +#!/usr/bin/env perl +# +# ==================================================================== +# Written by Andy Polyakov, @dot-asm, initially for the OpenSSL +# project. +# ==================================================================== +# +# sha256/512_block procedure for x86_64. +# +# 40% improvement over compiler-generated code on Opteron. On EM64T +# sha256 was observed to run >80% faster and sha512 - >40%. No magical +# tricks, just straight implementation... I really wonder why gcc +# [being armed with inline assembler] fails to generate as fast code. +# The only thing which is cool about this module is that it's very +# same instruction sequence used for both SHA-256 and SHA-512. In +# former case the instructions operate on 32-bit operands, while in +# latter - on 64-bit ones. All I had to do is to get one flavor right, +# the other one passed the test right away:-) +# +# sha256_block runs in ~1005 cycles on Opteron, which gives you +# asymptotic performance of 64*1000/1005=63.7MBps times CPU clock +# frequency in GHz. sha512_block runs in ~1275 cycles, which results +# in 128*1000/1275=100MBps per GHz. Is there room for improvement? +# Well, if you compare it to IA-64 implementation, which maintains +# X[16] in register bank[!], tends to 4 instructions per CPU clock +# cycle and runs in 1003 cycles, 1275 is very good result for 3-way +# issue Opteron pipeline and X[16] maintained in memory. So that *if* +# there is a way to improve it, *then* the only way would be to try to +# offload X[16] updates to SSE unit, but that would require "deeper" +# loop unroll, which in turn would naturally cause size blow-up, not +# to mention increased complexity! And once again, only *if* it's +# actually possible to noticeably improve overall ILP, instruction +# level parallelism, on a given CPU implementation in this case. +# +# Special note on Intel EM64T. While Opteron CPU exhibits perfect +# performance ratio of 1.5 between 64- and 32-bit flavors [see above], +# [currently available] EM64T CPUs apparently are far from it. On the +# contrary, 64-bit version, sha512_block, is ~30% *slower* than 32-bit +# sha256_block:-( This is presumably because 64-bit shifts/rotates +# apparently are not atomic instructions, but implemented in microcode. +# +# May 2012. +# +# Optimization including one of Pavel Semjanov's ideas, alternative +# Maj, resulted in >=5% improvement on most CPUs, +20% SHA256 and +# unfortunately -2% SHA512 on P4 [which nobody should care about +# that much]. +# +# June 2012. +# +# Add SIMD code paths, see below for improvement coefficients. SSSE3 +# code path was not attempted for SHA512, because improvement is not +# estimated to be high enough, noticeably less than 9%, to justify +# the effort, not on pre-AVX processors. [Obviously with exclusion +# for VIA Nano, but it has SHA512 instruction that is faster and +# should be used instead.] For reference, corresponding estimated +# upper limit for improvement for SSSE3 SHA256 is 28%. The fact that +# higher coefficients are observed on VIA Nano and Bulldozer has more +# to do with specifics of their architecture [which is topic for +# separate discussion]. +# +# November 2012. +# +# Add AVX2 code path. Two consecutive input blocks are loaded to +# 256-bit %ymm registers, with data from first block to least +# significant 128-bit halves and data from second to most significant. +# The data is then processed with same SIMD instruction sequence as +# for AVX, but with %ymm as operands. Side effect is increased stack +# frame, 448 additional bytes in SHA256 and 1152 in SHA512, and 1.2KB +# code size increase. +# +# March 2014. +# +# Add support for Intel SHA Extensions. +# +# October 2023. +# +# Add support for Intel SHA512 Extension. + +###################################################################### +# Current performance in cycles per processed byte (less is better): +# +# SHA256 SSSE3 AVX/XOP(*) SHA512 AVX/XOP(*) +# +# AMD K8 14.9 - - 9.57 - +# P4 17.3 - - 30.8 - +# Core 2 15.6 13.8(+13%) - 9.97 - +# Westmere 14.8 12.3(+19%) - 9.58 - +# Sandy Bridge 17.4 14.2(+23%) 11.6(+50%(**)) 11.2 8.10(+38%(**)) +# Ivy Bridge 12.6 10.5(+20%) 10.3(+22%) 8.17 7.22(+13%) +# Haswell 12.2 9.28(+31%) 7.80(+56%) 7.66 5.40(+42%) +# Skylake 11.4 9.03(+26%) 7.70(+48%) 7.25 5.20(+40%) +# Cannon Lake 11.4 9.00(+27%) 3.55(+220%) 7.20 5.12(+41%) +# Rocket Lake 10.4 9.13(+14%) 2.43(+330%) 6.66 5.34(+25%) +# Bulldozer 21.1 13.6(+54%) 13.6(+54%(***)) 13.5 8.58(+57%) +# Ryzen 11.0 9.02(+22%) 2.05(+440%) 7.05 5.67(+20%) +# VIA Nano 23.0 16.5(+39%) - 14.7 - +# Atom 23.0 18.9(+22%) - 14.7 - +# Silvermont 27.4 20.6(+33%) - 17.5 - +# Knights L 27.4 21.0(+30%) 19.6(+40%) 17.5 12.8(+37%) +# Goldmont 18.9 14.3(+32%) 4.16(+350%) 12.0 - +# +# (*) whichever best applicable, including SHAEXT; +# (**) switch from ror to shrd stands for fair share of improvement; +# (***) execution time is fully determined by remaining integer-only +# part, body_00_15; reducing the amount of SIMD instructions +# below certain limit makes no difference/sense; to conserve +# space SHA256 XOP code path is therefore omitted; + +$flavour = shift; +$output = pop; +if ($flavour =~ /\./) { $output = $flavour; undef $flavour; } + +$win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/); + +$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; +( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or +( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or +die "can't locate x86_64-xlate.pl"; + +$avx=undef; +$shaext=1; ### set to zero if compiling for 1.0.1 + +if (!defined($avx) && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) && + ($ENV{ASM} //= "nasm") && + `"$ENV{ASM}" -v 2>&1` =~ /NASM version ([0-9]+\.[0-9]+)(?:\.([0-9]+))?/) { + $avx = ($1>=2.09) + ($1>=2.10) + 2 * ($1>=2.12); + $avx += 2 if ($1==2.11 && $2>=8); +} + +if (!defined($avx) && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) && + ($ENV{ASM} //= "ml64") && + `"$ENV{ASM}" 2>&1` =~ /Version ([0-9]+)\./) { + $avx = ($1>=10) + ($1>=12) + 2 * ($1>=14); +} + +$ENV{CC} //= "cc"; +if (!defined($avx) && `$ENV{CC} -Wa,-v -c -o /dev/zero -x assembler /dev/null 2>&1` + =~ /GNU assembler version ([0-9]+)\.([0-9]+)/) { + my $ver = $1 + $2/100.0; # 3.1->3.01, 3.10->3.10 + $avx = ($ver>=2.19) + ($ver>=2.22) + ($ver>=2.25) + ($ver>=2.26); +} + +if (!defined($avx) && `$ENV{CC} -v 2>&1` + =~ /((?:^clang|LLVM) version|.*based on LLVM) ([0-9]+)\.([0-9]+)/) { + my $ver = $2 + $3/100.0; # 3.1->3.01, 3.10->3.10 + $avx = ($ver>=3.0) + ($ver>3.0); + $avx += 2*($ver>=7.0) if ($1 =~ /^clang/); +} + +open STDOUT,"| \"$^X\" \"$xlate\" $flavour \"$output\""; + +if ($output =~ /512/) { + $func="sha512_block_data_order"; + $TABLE="K512"; + $SZ=8; + @ROT=($A,$B,$C,$D,$E,$F,$G,$H)=("%rax","%rbx","%rcx","%rdx", + "%r8", "%r9", "%r10","%r11"); + ($T1,$a0,$a1,$a2,$a3)=("%r12","%r13","%r14","%r15","%rdi"); + @Sigma0=(28,34,39); + @Sigma1=(14,18,41); + @sigma0=(1, 8, 7); + @sigma1=(19,61, 6); + $rounds=80; +} else { + $func="sha256_block_data_order"; + $TABLE="K256"; + $SZ=4; + @ROT=($A,$B,$C,$D,$E,$F,$G,$H)=("%eax","%ebx","%ecx","%edx", + "%r8d","%r9d","%r10d","%r11d"); + ($T1,$a0,$a1,$a2,$a3)=("%r12d","%r13d","%r14d","%r15d","%edi"); + @Sigma0=( 2,13,22); + @Sigma1=( 6,11,25); + @sigma0=( 7,18, 3); + @sigma1=(17,19,10); + $rounds=64; +} + +$ctx="%rdi"; # 1st arg, zapped by $a3 +$inp="%rsi"; # 2nd arg +$Tbl="%rbp"; + +$_ctx="16*$SZ+0*8(%rsp)"; +$_inp="16*$SZ+1*8(%rsp)"; +$_end="16*$SZ+2*8(%rsp)"; +$framesz="16*$SZ+3*8"; + + +sub ROUND_00_15() +{ my ($i,$a,$b,$c,$d,$e,$f,$g,$h) = @_; + my $STRIDE=$SZ; + $STRIDE += 16 if ($i%(16/$SZ)==(16/$SZ-1)); + +$code.=<<___; + ror \$`$Sigma1[2]-$Sigma1[1]`,$a0 + mov $f,$a2 + + xor $e,$a0 + ror \$`$Sigma0[2]-$Sigma0[1]`,$a1 + xor $g,$a2 # f^g + + mov $T1,`$SZ*($i&0xf)`(%rsp) + xor $a,$a1 + and $e,$a2 # (f^g)&e + + ror \$`$Sigma1[1]-$Sigma1[0]`,$a0 + add $h,$T1 # T1+=h + xor $g,$a2 # Ch(e,f,g)=((f^g)&e)^g + + ror \$`$Sigma0[1]-$Sigma0[0]`,$a1 + xor $e,$a0 + add $a2,$T1 # T1+=Ch(e,f,g) + + mov $a,$a2 + add ($Tbl),$T1 # T1+=K[round] + xor $a,$a1 + + xor $b,$a2 # a^b, b^c in next round + ror \$$Sigma1[0],$a0 # Sigma1(e) + mov $b,$h + + and $a2,$a3 + ror \$$Sigma0[0],$a1 # Sigma0(a) + add $a0,$T1 # T1+=Sigma1(e) + + xor $a3,$h # h=Maj(a,b,c)=Ch(a^b,c,b) + add $T1,$d # d+=T1 + add $T1,$h # h+=T1 + + lea $STRIDE($Tbl),$Tbl # round++ +___ +$code.=<<___ if ($i<15); + add $a1,$h # h+=Sigma0(a) +___ + ($a2,$a3) = ($a3,$a2); +} + +sub ROUND_16_XX() +{ my ($i,$a,$b,$c,$d,$e,$f,$g,$h) = @_; + +$code.=<<___; + mov `$SZ*(($i+1)&0xf)`(%rsp),$a0 + mov `$SZ*(($i+14)&0xf)`(%rsp),$a2 + + mov $a0,$T1 + ror \$`$sigma0[1]-$sigma0[0]`,$a0 + add $a1,$a # modulo-scheduled h+=Sigma0(a) + mov $a2,$a1 + ror \$`$sigma1[1]-$sigma1[0]`,$a2 + + xor $T1,$a0 + shr \$$sigma0[2],$T1 + ror \$$sigma0[0],$a0 + xor $a1,$a2 + shr \$$sigma1[2],$a1 + + ror \$$sigma1[0],$a2 + xor $a0,$T1 # sigma0(X[(i+1)&0xf]) + xor $a1,$a2 # sigma1(X[(i+14)&0xf]) + add `$SZ*(($i+9)&0xf)`(%rsp),$T1 + + add `$SZ*($i&0xf)`(%rsp),$T1 + mov $e,$a0 + add $a2,$T1 + mov $a,$a1 +___ + &ROUND_00_15(@_); +} + +$code=<<___; +.text + +.extern OPENSSL_ia32cap_P +.globl $func +.type $func,\@function,3,"unwind" +.align 16 +$func: +.cfi_startproc + push %rbp +.cfi_push %rbp + mov %rsp,%rbp +.cfi_def_cfa_register %rbp +___ +$code.=<<___ if ($SZ==4 || $avx); + lea OPENSSL_ia32cap_P(%rip),%rax + mov 0(%rax),%r9d + mov 4(%rax),%r10d + mov 8(%rax),%eax +___ +$code.=<<___ if ($SZ==4 && $shaext); + test \$`1<<29`,%eax # check for SHA + jnz .Lshaext_shortcut +___ +$code.=<<___ if ($avx && $SZ==8); + test \$`1<<11`,%r10d # check for XOP + jnz .Lxop_shortcut +___ +$code.=<<___ if ($avx>1); + and \$`1<<8|1<<5|1<<3`,%eax # check for BMI2+AVX2+BMI1 + cmp \$`1<<8|1<<5|1<<3`,%eax + je .Lavx2_shortcut +___ +$code.=<<___ if ($avx); + and \$`1<<30`,%r9d # mask "Intel CPU" bit + and \$`1<<28|1<<9`,%r10d # mask AVX and SSSE3 bits + or %r9d,%r10d + cmp \$`1<<28|1<<9|1<<30`,%r10d + je .Lavx_shortcut +___ +$code.=<<___ if ($SZ==4); + test \$`1<<9`,%r10d + jnz .Lssse3_shortcut +___ +$code.=<<___; + push %rbx +.cfi_push %rbx + push %r12 +.cfi_push %r12 + push %r13 +.cfi_push %r13 + push %r14 +.cfi_push %r14 + push %r15 +.cfi_push %r15 + shl \$4,%rdx # num*16 + sub \$$framesz,%rsp +.cfi_alloca $framesz +.cfi_def_cfa %rsp +.cfi_end_prologue + lea ($inp,%rdx,$SZ),%rdx # inp+num*16*$SZ + mov $ctx,$_ctx # save ctx, 1st arg + mov $inp,$_inp # save inp, 2nd arh + mov %rdx,$_end # save end pointer, "3rd" arg + + mov $SZ*0($ctx),$A + mov $SZ*1($ctx),$B + mov $SZ*2($ctx),$C + mov $SZ*3($ctx),$D + mov $SZ*4($ctx),$E + mov $SZ*5($ctx),$F + mov $SZ*6($ctx),$G + mov $SZ*7($ctx),$H + jmp .Lloop + +.align 16 +.Lloop: + mov $B,$a3 + lea $TABLE(%rip),$Tbl + xor $C,$a3 # magic +___ + for($i=0;$i<16;$i++) { + $code.=" mov $SZ*$i($inp),$T1\n"; + $code.=" mov @ROT[4],$a0\n"; + $code.=" mov @ROT[0],$a1\n"; + $code.=" bswap $T1\n"; + &ROUND_00_15($i,@ROT); + unshift(@ROT,pop(@ROT)); + } +$code.=<<___; + jmp .Lrounds_16_xx +.align 16 +.Lrounds_16_xx: +___ + for(;$i<32;$i++) { + &ROUND_16_XX($i,@ROT); + unshift(@ROT,pop(@ROT)); + } + +$code.=<<___; + cmpb \$0,`$SZ-1`($Tbl) + jnz .Lrounds_16_xx + + mov $_ctx,$ctx + add $a1,$A # modulo-scheduled h+=Sigma0(a) + lea 16*$SZ($inp),$inp + + add $SZ*0($ctx),$A + add $SZ*1($ctx),$B + add $SZ*2($ctx),$C + add $SZ*3($ctx),$D + add $SZ*4($ctx),$E + add $SZ*5($ctx),$F + add $SZ*6($ctx),$G + add $SZ*7($ctx),$H + + cmp $_end,$inp + + mov $A,$SZ*0($ctx) + mov $B,$SZ*1($ctx) + mov $C,$SZ*2($ctx) + mov $D,$SZ*3($ctx) + mov $E,$SZ*4($ctx) + mov $F,$SZ*5($ctx) + mov $G,$SZ*6($ctx) + mov $H,$SZ*7($ctx) + jb .Lloop + + lea $framesz+6*8(%rsp),%r11 +.cfi_def_cfa %r11,8 + mov $framesz(%rsp),%r15 + mov -40(%r11),%r14 + mov -32(%r11),%r13 + mov -24(%r11),%r12 + mov -16(%r11),%rbx + mov -8(%r11),%rbp +.cfi_epilogue + lea (%r11),%rsp + ret +.cfi_endproc +.size $func,.-$func +___ + +if ($SZ==4) { +$code.=<<___; +.align 64 +.type $TABLE,\@object +$TABLE: + .long 0x428a2f98,0x71374491,0xb5c0fbcf,0xe9b5dba5 + .long 0x428a2f98,0x71374491,0xb5c0fbcf,0xe9b5dba5 + .long 0x3956c25b,0x59f111f1,0x923f82a4,0xab1c5ed5 + .long 0x3956c25b,0x59f111f1,0x923f82a4,0xab1c5ed5 + .long 0xd807aa98,0x12835b01,0x243185be,0x550c7dc3 + .long 0xd807aa98,0x12835b01,0x243185be,0x550c7dc3 + .long 0x72be5d74,0x80deb1fe,0x9bdc06a7,0xc19bf174 + .long 0x72be5d74,0x80deb1fe,0x9bdc06a7,0xc19bf174 + .long 0xe49b69c1,0xefbe4786,0x0fc19dc6,0x240ca1cc + .long 0xe49b69c1,0xefbe4786,0x0fc19dc6,0x240ca1cc + .long 0x2de92c6f,0x4a7484aa,0x5cb0a9dc,0x76f988da + .long 0x2de92c6f,0x4a7484aa,0x5cb0a9dc,0x76f988da + .long 0x983e5152,0xa831c66d,0xb00327c8,0xbf597fc7 + .long 0x983e5152,0xa831c66d,0xb00327c8,0xbf597fc7 + .long 0xc6e00bf3,0xd5a79147,0x06ca6351,0x14292967 + .long 0xc6e00bf3,0xd5a79147,0x06ca6351,0x14292967 + .long 0x27b70a85,0x2e1b2138,0x4d2c6dfc,0x53380d13 + .long 0x27b70a85,0x2e1b2138,0x4d2c6dfc,0x53380d13 + .long 0x650a7354,0x766a0abb,0x81c2c92e,0x92722c85 + .long 0x650a7354,0x766a0abb,0x81c2c92e,0x92722c85 + .long 0xa2bfe8a1,0xa81a664b,0xc24b8b70,0xc76c51a3 + .long 0xa2bfe8a1,0xa81a664b,0xc24b8b70,0xc76c51a3 + .long 0xd192e819,0xd6990624,0xf40e3585,0x106aa070 + .long 0xd192e819,0xd6990624,0xf40e3585,0x106aa070 + .long 0x19a4c116,0x1e376c08,0x2748774c,0x34b0bcb5 + .long 0x19a4c116,0x1e376c08,0x2748774c,0x34b0bcb5 + .long 0x391c0cb3,0x4ed8aa4a,0x5b9cca4f,0x682e6ff3 + .long 0x391c0cb3,0x4ed8aa4a,0x5b9cca4f,0x682e6ff3 + .long 0x748f82ee,0x78a5636f,0x84c87814,0x8cc70208 + .long 0x748f82ee,0x78a5636f,0x84c87814,0x8cc70208 + .long 0x90befffa,0xa4506ceb,0xbef9a3f7,0xc67178f2 + .long 0x90befffa,0xa4506ceb,0xbef9a3f7,0xc67178f2 + + .long 0x00010203,0x04050607,0x08090a0b,0x0c0d0e0f + .long 0x00010203,0x04050607,0x08090a0b,0x0c0d0e0f + .long 0x03020100,0x0b0a0908,0xffffffff,0xffffffff + .long 0x03020100,0x0b0a0908,0xffffffff,0xffffffff + .long 0xffffffff,0xffffffff,0x03020100,0x0b0a0908 + .long 0xffffffff,0xffffffff,0x03020100,0x0b0a0908 + .asciz "SHA256 block transform for x86_64, CRYPTOGAMS by \@dot-asm" +___ +} else { +$code.=<<___; +.align 64 +.type $TABLE,\@object +$TABLE: + .quad 0x428a2f98d728ae22,0x7137449123ef65cd + .quad 0x428a2f98d728ae22,0x7137449123ef65cd + .quad 0xb5c0fbcfec4d3b2f,0xe9b5dba58189dbbc + .quad 0xb5c0fbcfec4d3b2f,0xe9b5dba58189dbbc + .quad 0x3956c25bf348b538,0x59f111f1b605d019 + .quad 0x3956c25bf348b538,0x59f111f1b605d019 + .quad 0x923f82a4af194f9b,0xab1c5ed5da6d8118 + .quad 0x923f82a4af194f9b,0xab1c5ed5da6d8118 + .quad 0xd807aa98a3030242,0x12835b0145706fbe + .quad 0xd807aa98a3030242,0x12835b0145706fbe + .quad 0x243185be4ee4b28c,0x550c7dc3d5ffb4e2 + .quad 0x243185be4ee4b28c,0x550c7dc3d5ffb4e2 + .quad 0x72be5d74f27b896f,0x80deb1fe3b1696b1 + .quad 0x72be5d74f27b896f,0x80deb1fe3b1696b1 + .quad 0x9bdc06a725c71235,0xc19bf174cf692694 + .quad 0x9bdc06a725c71235,0xc19bf174cf692694 + .quad 0xe49b69c19ef14ad2,0xefbe4786384f25e3 + .quad 0xe49b69c19ef14ad2,0xefbe4786384f25e3 + .quad 0x0fc19dc68b8cd5b5,0x240ca1cc77ac9c65 + .quad 0x0fc19dc68b8cd5b5,0x240ca1cc77ac9c65 + .quad 0x2de92c6f592b0275,0x4a7484aa6ea6e483 + .quad 0x2de92c6f592b0275,0x4a7484aa6ea6e483 + .quad 0x5cb0a9dcbd41fbd4,0x76f988da831153b5 + .quad 0x5cb0a9dcbd41fbd4,0x76f988da831153b5 + .quad 0x983e5152ee66dfab,0xa831c66d2db43210 + .quad 0x983e5152ee66dfab,0xa831c66d2db43210 + .quad 0xb00327c898fb213f,0xbf597fc7beef0ee4 + .quad 0xb00327c898fb213f,0xbf597fc7beef0ee4 + .quad 0xc6e00bf33da88fc2,0xd5a79147930aa725 + .quad 0xc6e00bf33da88fc2,0xd5a79147930aa725 + .quad 0x06ca6351e003826f,0x142929670a0e6e70 + .quad 0x06ca6351e003826f,0x142929670a0e6e70 + .quad 0x27b70a8546d22ffc,0x2e1b21385c26c926 + .quad 0x27b70a8546d22ffc,0x2e1b21385c26c926 + .quad 0x4d2c6dfc5ac42aed,0x53380d139d95b3df + .quad 0x4d2c6dfc5ac42aed,0x53380d139d95b3df + .quad 0x650a73548baf63de,0x766a0abb3c77b2a8 + .quad 0x650a73548baf63de,0x766a0abb3c77b2a8 + .quad 0x81c2c92e47edaee6,0x92722c851482353b + .quad 0x81c2c92e47edaee6,0x92722c851482353b + .quad 0xa2bfe8a14cf10364,0xa81a664bbc423001 + .quad 0xa2bfe8a14cf10364,0xa81a664bbc423001 + .quad 0xc24b8b70d0f89791,0xc76c51a30654be30 + .quad 0xc24b8b70d0f89791,0xc76c51a30654be30 + .quad 0xd192e819d6ef5218,0xd69906245565a910 + .quad 0xd192e819d6ef5218,0xd69906245565a910 + .quad 0xf40e35855771202a,0x106aa07032bbd1b8 + .quad 0xf40e35855771202a,0x106aa07032bbd1b8 + .quad 0x19a4c116b8d2d0c8,0x1e376c085141ab53 + .quad 0x19a4c116b8d2d0c8,0x1e376c085141ab53 + .quad 0x2748774cdf8eeb99,0x34b0bcb5e19b48a8 + .quad 0x2748774cdf8eeb99,0x34b0bcb5e19b48a8 + .quad 0x391c0cb3c5c95a63,0x4ed8aa4ae3418acb + .quad 0x391c0cb3c5c95a63,0x4ed8aa4ae3418acb + .quad 0x5b9cca4f7763e373,0x682e6ff3d6b2b8a3 + .quad 0x5b9cca4f7763e373,0x682e6ff3d6b2b8a3 + .quad 0x748f82ee5defb2fc,0x78a5636f43172f60 + .quad 0x748f82ee5defb2fc,0x78a5636f43172f60 + .quad 0x84c87814a1f0ab72,0x8cc702081a6439ec + .quad 0x84c87814a1f0ab72,0x8cc702081a6439ec + .quad 0x90befffa23631e28,0xa4506cebde82bde9 + .quad 0x90befffa23631e28,0xa4506cebde82bde9 + .quad 0xbef9a3f7b2c67915,0xc67178f2e372532b + .quad 0xbef9a3f7b2c67915,0xc67178f2e372532b + .quad 0xca273eceea26619c,0xd186b8c721c0c207 + .quad 0xca273eceea26619c,0xd186b8c721c0c207 + .quad 0xeada7dd6cde0eb1e,0xf57d4f7fee6ed178 + .quad 0xeada7dd6cde0eb1e,0xf57d4f7fee6ed178 + .quad 0x06f067aa72176fba,0x0a637dc5a2c898a6 + .quad 0x06f067aa72176fba,0x0a637dc5a2c898a6 + .quad 0x113f9804bef90dae,0x1b710b35131c471b + .quad 0x113f9804bef90dae,0x1b710b35131c471b + .quad 0x28db77f523047d84,0x32caab7b40c72493 + .quad 0x28db77f523047d84,0x32caab7b40c72493 + .quad 0x3c9ebe0a15c9bebc,0x431d67c49c100d4c + .quad 0x3c9ebe0a15c9bebc,0x431d67c49c100d4c + .quad 0x4cc5d4becb3e42b6,0x597f299cfc657e2a + .quad 0x4cc5d4becb3e42b6,0x597f299cfc657e2a + .quad 0x5fcb6fab3ad6faec,0x6c44198c4a475817 + .quad 0x5fcb6fab3ad6faec,0x6c44198c4a475817 + + .quad 0x0001020304050607,0x08090a0b0c0d0e0f + .quad 0x0001020304050607,0x08090a0b0c0d0e0f + +${TABLE}_nodup: + .quad 0x428a2f98d728ae22,0x7137449123ef65cd + .quad 0xb5c0fbcfec4d3b2f,0xe9b5dba58189dbbc + .quad 0x3956c25bf348b538,0x59f111f1b605d019 + .quad 0x923f82a4af194f9b,0xab1c5ed5da6d8118 + .quad 0xd807aa98a3030242,0x12835b0145706fbe + .quad 0x243185be4ee4b28c,0x550c7dc3d5ffb4e2 + .quad 0x72be5d74f27b896f,0x80deb1fe3b1696b1 + .quad 0x9bdc06a725c71235,0xc19bf174cf692694 + .quad 0xe49b69c19ef14ad2,0xefbe4786384f25e3 + .quad 0x0fc19dc68b8cd5b5,0x240ca1cc77ac9c65 + .quad 0x2de92c6f592b0275,0x4a7484aa6ea6e483 + .quad 0x5cb0a9dcbd41fbd4,0x76f988da831153b5 + .quad 0x983e5152ee66dfab,0xa831c66d2db43210 + .quad 0xb00327c898fb213f,0xbf597fc7beef0ee4 + .quad 0xc6e00bf33da88fc2,0xd5a79147930aa725 + .quad 0x06ca6351e003826f,0x142929670a0e6e70 + .quad 0x27b70a8546d22ffc,0x2e1b21385c26c926 + .quad 0x4d2c6dfc5ac42aed,0x53380d139d95b3df + .quad 0x650a73548baf63de,0x766a0abb3c77b2a8 + .quad 0x81c2c92e47edaee6,0x92722c851482353b + .quad 0xa2bfe8a14cf10364,0xa81a664bbc423001 + .quad 0xc24b8b70d0f89791,0xc76c51a30654be30 + .quad 0xd192e819d6ef5218,0xd69906245565a910 + .quad 0xf40e35855771202a,0x106aa07032bbd1b8 + .quad 0x19a4c116b8d2d0c8,0x1e376c085141ab53 + .quad 0x2748774cdf8eeb99,0x34b0bcb5e19b48a8 + .quad 0x391c0cb3c5c95a63,0x4ed8aa4ae3418acb + .quad 0x5b9cca4f7763e373,0x682e6ff3d6b2b8a3 + .quad 0x748f82ee5defb2fc,0x78a5636f43172f60 + .quad 0x84c87814a1f0ab72,0x8cc702081a6439ec + .quad 0x90befffa23631e28,0xa4506cebde82bde9 + .quad 0xbef9a3f7b2c67915,0xc67178f2e372532b + .quad 0xca273eceea26619c,0xd186b8c721c0c207 + .quad 0xeada7dd6cde0eb1e,0xf57d4f7fee6ed178 + .quad 0x06f067aa72176fba,0x0a637dc5a2c898a6 + .quad 0x113f9804bef90dae,0x1b710b35131c471b + .quad 0x28db77f523047d84,0x32caab7b40c72493 + .quad 0x3c9ebe0a15c9bebc,0x431d67c49c100d4c + .quad 0x4cc5d4becb3e42b6,0x597f299cfc657e2a + .quad 0x5fcb6fab3ad6faec,0x6c44198c4a475817 + + .asciz "SHA512 block transform for x86_64, CRYPTOGAMS by \@dot-asm" +___ +} + +###################################################################### +# SIMD code paths +# +if ($SZ==4 && $shaext) {{{ +###################################################################### +# Intel SHA Extensions implementation of SHA256 update function. +# +my ($ctx,$inp,$num,$Tbl)=("%rdi","%rsi","%rdx","%rcx"); + +my ($Wi,$ABEF,$CDGH,$TMP,$BSWAP,$ABEF_SAVE,$CDGH_SAVE)=map("%xmm$_",(0..2,7..10)); +my @MSG=map("%xmm$_",(3..6)); + +$code.=<<___; +.type sha256_block_data_order_shaext,\@function,3,"unwind" +.align 64 +sha256_block_data_order_shaext: +.cfi_startproc + push %rbp +.cfi_push %rbp + mov %rsp,%rbp +.cfi_def_cfa_register %rbp +.Lshaext_shortcut: +___ +$code.=<<___ if ($win64); + sub \$0x50,%rsp +.cfi_alloca 0x50 + movaps %xmm6,-0x50(%rbp) + movaps %xmm7,-0x40(%rbp) + movaps %xmm8,-0x30(%rbp) + movaps %xmm9,-0x20(%rbp) + movaps %xmm10,-0x10(%rbp) +.cfi_offset %xmm6-%xmm10,-0x60 +___ +$code.=<<___; +.cfi_end_prologue + lea K256+0x80(%rip),$Tbl + movdqu ($ctx),$ABEF # DCBA + movdqu 16($ctx),$CDGH # HGFE + movdqa 0x200-0x80($Tbl),$TMP # byte swap mask + + pshufd \$0x1b,$ABEF,$Wi # ABCD + pshufd \$0xb1,$ABEF,$ABEF # CDAB + pshufd \$0x1b,$CDGH,$CDGH # EFGH + movdqa $TMP,$BSWAP # offload + palignr \$8,$CDGH,$ABEF # ABEF + punpcklqdq $Wi,$CDGH # CDGH + jmp .Loop_shaext + +.align 16 +.Loop_shaext: + movdqu ($inp),@MSG[0] + movdqu 0x10($inp),@MSG[1] + movdqu 0x20($inp),@MSG[2] + pshufb $TMP,@MSG[0] + movdqu 0x30($inp),@MSG[3] + + movdqa 0*32-0x80($Tbl),$Wi + paddd @MSG[0],$Wi + pshufb $TMP,@MSG[1] + movdqa $CDGH,$CDGH_SAVE # offload + sha256rnds2 $ABEF,$CDGH # 0-3 + pshufd \$0x0e,$Wi,$Wi + nop + movdqa $ABEF,$ABEF_SAVE # offload + sha256rnds2 $CDGH,$ABEF + + movdqa 1*32-0x80($Tbl),$Wi + paddd @MSG[1],$Wi + pshufb $TMP,@MSG[2] + sha256rnds2 $ABEF,$CDGH # 4-7 + pshufd \$0x0e,$Wi,$Wi + lea 0x40($inp),$inp + sha256msg1 @MSG[1],@MSG[0] + sha256rnds2 $CDGH,$ABEF + + movdqa 2*32-0x80($Tbl),$Wi + paddd @MSG[2],$Wi + pshufb $TMP,@MSG[3] + sha256rnds2 $ABEF,$CDGH # 8-11 + pshufd \$0x0e,$Wi,$Wi + movdqa @MSG[3],$TMP + palignr \$4,@MSG[2],$TMP + nop + paddd $TMP,@MSG[0] + sha256msg1 @MSG[2],@MSG[1] + sha256rnds2 $CDGH,$ABEF + + movdqa 3*32-0x80($Tbl),$Wi + paddd @MSG[3],$Wi + sha256msg2 @MSG[3],@MSG[0] + sha256rnds2 $ABEF,$CDGH # 12-15 + pshufd \$0x0e,$Wi,$Wi + movdqa @MSG[0],$TMP + palignr \$4,@MSG[3],$TMP + nop + paddd $TMP,@MSG[1] + sha256msg1 @MSG[3],@MSG[2] + sha256rnds2 $CDGH,$ABEF +___ +for($i=4;$i<16-3;$i++) { +$code.=<<___; + movdqa $i*32-0x80($Tbl),$Wi + paddd @MSG[0],$Wi + sha256msg2 @MSG[0],@MSG[1] + sha256rnds2 $ABEF,$CDGH # 16-19... + pshufd \$0x0e,$Wi,$Wi + movdqa @MSG[1],$TMP + palignr \$4,@MSG[0],$TMP + nop + paddd $TMP,@MSG[2] + sha256msg1 @MSG[0],@MSG[3] + sha256rnds2 $CDGH,$ABEF +___ + push(@MSG,shift(@MSG)); +} +$code.=<<___; + movdqa 13*32-0x80($Tbl),$Wi + paddd @MSG[0],$Wi + sha256msg2 @MSG[0],@MSG[1] + sha256rnds2 $ABEF,$CDGH # 52-55 + pshufd \$0x0e,$Wi,$Wi + movdqa @MSG[1],$TMP + palignr \$4,@MSG[0],$TMP + sha256rnds2 $CDGH,$ABEF + paddd $TMP,@MSG[2] + + movdqa 14*32-0x80($Tbl),$Wi + paddd @MSG[1],$Wi + sha256rnds2 $ABEF,$CDGH # 56-59 + pshufd \$0x0e,$Wi,$Wi + sha256msg2 @MSG[1],@MSG[2] + movdqa $BSWAP,$TMP + sha256rnds2 $CDGH,$ABEF + + movdqa 15*32-0x80($Tbl),$Wi + paddd @MSG[2],$Wi + nop + sha256rnds2 $ABEF,$CDGH # 60-63 + pshufd \$0x0e,$Wi,$Wi + dec $num + nop + sha256rnds2 $CDGH,$ABEF + + paddd $CDGH_SAVE,$CDGH + paddd $ABEF_SAVE,$ABEF + jnz .Loop_shaext + + pshufd \$0xb1,$CDGH,$CDGH # DCHG + pshufd \$0x1b,$ABEF,$TMP # FEBA + pshufd \$0xb1,$ABEF,$ABEF # BAFE + punpckhqdq $CDGH,$ABEF # DCBA + palignr \$8,$TMP,$CDGH # HGFE + + movdqu $ABEF,($ctx) + movdqu $CDGH,16($ctx) +___ +$code.=<<___ if ($win64); + movaps -0x50(%rbp),%xmm6 + movaps -0x40(%rbp),%xmm7 + movaps -0x30(%rbp),%xmm8 + movaps -0x20(%rbp),%xmm9 + movaps -0x10(%rbp),%xmm10 + mov %rbp,%rsp +___ +$code.=<<___; +.cfi_def_cfa_register %rsp + pop %rbp +.cfi_pop %rbp +.cfi_epilogue + ret +.cfi_endproc +.size sha256_block_data_order_shaext,.-sha256_block_data_order_shaext +___ +}}} +if ($SZ==8 && $shaext && $avx>1) {{{ +###################################################################### +# Intel SHA Extensions implementation of SHA512 update function. +# +my ($ctx,$inp,$num,$Tbl)=("%rdi","%rsi","%rdx","%rcx"); + +my ($Wi,$ABEF,$CDGH,$TMP,$BSWAP,$ABEF_SAVE,$CDGH_SAVE)=map("%ymm$_",(4..10)); +my @MSG=map("%ymm$_",(0..3)); + +$code.=<<___; +.globl sha512_block_data_order_shaext +.type sha512_block_data_order_shaext,\@function,3,"unwind" +.align 64 +sha512_block_data_order_shaext: +.cfi_startproc + push %rbp +.cfi_push %rbp + mov %rsp,%rbp +.cfi_def_cfa_register %rbp +.Lshaext_shortcut: +___ +$code.=<<___ if ($win64); + sub \$0x50,%rsp +.cfi_alloca 0x50 + movaps %xmm6,-0x50(%rbp) + movaps %xmm7,-0x40(%rbp) + movaps %xmm8,-0x30(%rbp) + movaps %xmm9,-0x20(%rbp) + movaps %xmm10,-0x10(%rbp) +.cfi_offset %xmm6-%xmm10,-0x60 +___ +$code.=<<___; +.cfi_end_prologue + lea K512_nodup+0x80(%rip),$Tbl + vmovdqu ($ctx),@MSG[0] # DCBA + vmovdqu 32($ctx),@MSG[1] # HGFE + vmovdqa -0xa0($Tbl),$BSWAP + + vpermq \$0b00011011,@MSG[0],@MSG[0] # ABCD + vpblendd \$0b00001111,@MSG[1],@MSG[0],$ABEF # ABFE + vpblendd \$0b00001111,@MSG[0],@MSG[1],$CDGH # HGCD + vpermq \$0b11100001,$ABEF,$ABEF # ABEF + vpermq \$0b01001011,$CDGH,$CDGH # CDGH + jmp .Loop_shaext + +.align 16 +.Loop_shaext: + vmovdqu ($inp),@MSG[0] + vmovdqu 0x20($inp),@MSG[1] + vmovdqu 0x40($inp),@MSG[2] + vpshufb $BSWAP,@MSG[0],@MSG[0] + vmovdqu 0x60($inp),@MSG[3] + + vpaddq 0*32-0x80($Tbl),@MSG[0],$Wi + vpshufb $BSWAP,@MSG[1],@MSG[1] + vmovdqa $CDGH,$CDGH_SAVE # offload + vsha512rnds2 %x#$Wi,$ABEF,$CDGH # 0-3 + vextracti128 \$1,$Wi,%x#$Wi + vmovdqa $ABEF,$ABEF_SAVE # offload + vsha512rnds2 %x#$Wi,$CDGH,$ABEF + + vpaddq 1*32-0x80($Tbl),@MSG[1],$Wi + vpshufb $BSWAP,@MSG[2],@MSG[2] + vsha512rnds2 %x#$Wi,$ABEF,$CDGH # 4-7 + vextracti128 \$1,$Wi,%x#$Wi + lea 0x80($inp),$inp + vsha512msg1 @MSG[1],@MSG[0] + vsha512rnds2 %x#$Wi,$CDGH,$ABEF + + vpaddq 2*32-0x80($Tbl),@MSG[2],$Wi + vpshufb $BSWAP,@MSG[3],@MSG[3] + vsha512rnds2 %x#$Wi,$ABEF,$CDGH # 8-11 + vextracti128 \$1,$Wi,%x#$Wi + vpblendd \$0x03,@MSG[3],@MSG[2],$TMP + vpermq \$0x39,$TMP,$TMP + vpaddq $TMP,@MSG[0],@MSG[0] + vsha512msg1 @MSG[2],@MSG[1] + vsha512rnds2 %x#$Wi,$CDGH,$ABEF + + vpaddq 3*32-0x80($Tbl),@MSG[3],$Wi + vsha512msg2 @MSG[3],@MSG[0] + vsha512rnds2 %x#$Wi,$ABEF,$CDGH # 12-15 + vextracti128 \$1,$Wi,%x#$Wi + vpblendd \$0x03,@MSG[0],@MSG[3],$TMP + vpermq \$0x39,$TMP,$TMP + vpaddq $TMP,@MSG[1],@MSG[1] + vsha512msg1 @MSG[3],@MSG[2] + vsha512rnds2 %x#$Wi,$CDGH,$ABEF +___ +for($i=4;$i<20-3;$i++) { +$code.=<<___; + vpaddq $i*32-0x80($Tbl),@MSG[0],$Wi + vsha512msg2 @MSG[0],@MSG[1] + vsha512rnds2 %x#$Wi,$ABEF,$CDGH # 16-19... + vextracti128 \$1,$Wi,%x#$Wi + vpblendd \$0x03,@MSG[1],@MSG[0],$TMP + vpermq \$0x39,$TMP,$TMP + vpaddq $TMP,@MSG[2],@MSG[2] + vsha512msg1 @MSG[0],@MSG[3] + vsha512rnds2 %x#$Wi,$CDGH,$ABEF +___ + push(@MSG,shift(@MSG)); +} +$code.=<<___; + vpaddq 17*32-0x80($Tbl),@MSG[0],$Wi + vsha512msg2 @MSG[0],@MSG[1] + vsha512rnds2 %x#$Wi,$ABEF,$CDGH # 68-71 + vextracti128 \$1,$Wi,%x#$Wi + vpblendd \$0x03,@MSG[1],@MSG[0],$TMP + vpermq \$0x39,$TMP,$TMP + vsha512rnds2 %x#$Wi,$CDGH,$ABEF + vpaddq $TMP,@MSG[2],@MSG[2] + + vpaddq 18*32-0x80($Tbl),@MSG[1],$Wi + vsha512rnds2 %x#$Wi,$ABEF,$CDGH # 72-75 + vextracti128 \$1,$Wi,%x#$Wi + vsha512msg2 @MSG[1],@MSG[2] + vsha512rnds2 %x#$Wi,$CDGH,$ABEF + + vpaddq 19*32-0x80($Tbl),@MSG[2],$Wi + vsha512rnds2 %x#$Wi,$ABEF,$CDGH # 76-79 + vextracti128 \$1,$Wi,%x#$Wi + dec $num + vsha512rnds2 %x#$Wi,$CDGH,$ABEF + + vpaddq $CDGH_SAVE,$CDGH,$CDGH + vpaddq $ABEF_SAVE,$ABEF,$ABEF + jnz .Loop_shaext + + vpermq \$0b01001011,$ABEF,$ABEF # EFBA + vpblendd \$0b11110000,$CDGH,$ABEF,@MSG[0] # CDBA + vpblendd \$0b11110000,$ABEF,$CDGH,@MSG[1] # EFGH + vpermq \$0b10110100,@MSG[0],@MSG[0] # DCBA + vpermq \$0b00011011,@MSG[1],@MSG[1] # HGFE + + vmovdqu @MSG[0],($ctx) + vmovdqu @MSG[1],32($ctx) + + vzeroupper +___ +$code.=<<___ if ($win64); + movaps -0x50(%rbp),%xmm6 + movaps -0x40(%rbp),%xmm7 + movaps -0x30(%rbp),%xmm8 + movaps -0x20(%rbp),%xmm9 + movaps -0x10(%rbp),%xmm10 + mov %rbp,%rsp +___ +$code.=<<___; +.cfi_def_cfa_register %rsp + pop %rbp +.cfi_pop %rbp +.cfi_epilogue + ret +.cfi_endproc +.size sha512_block_data_order_shaext,.-sha512_block_data_order_shaext +___ +}}} +{{{ + +my $a4=$T1; +my ($a,$b,$c,$d,$e,$f,$g,$h); + +sub AUTOLOAD() # thunk [simplified] 32-bit style perlasm +{ my $opcode = $AUTOLOAD; $opcode =~ s/.*:://; + my $arg = pop; + $arg = "\$$arg" if ($arg*1 eq $arg); + $code .= "\t$opcode\t".join(',',$arg,reverse @_)."\n"; +} + +sub body_00_15 () { + ( + '($a,$b,$c,$d,$e,$f,$g,$h)=@ROT;'. + + '&ror ($a0,$Sigma1[2]-$Sigma1[1])', + '&mov ($a,$a1)', + '&mov ($a4,$f)', + + '&ror ($a1,$Sigma0[2]-$Sigma0[1])', + '&xor ($a0,$e)', + '&xor ($a4,$g)', # f^g + + '&ror ($a0,$Sigma1[1]-$Sigma1[0])', + '&xor ($a1,$a)', + '&and ($a4,$e)', # (f^g)&e + + '&xor ($a0,$e)', + '&add ($h,$SZ*($i&15)."(%rsp)")', # h+=X[i]+K[i] + '&mov ($a2,$a)', + + '&xor ($a4,$g)', # Ch(e,f,g)=((f^g)&e)^g + '&ror ($a1,$Sigma0[1]-$Sigma0[0])', + '&xor ($a2,$b)', # a^b, b^c in next round + + '&add ($h,$a4)', # h+=Ch(e,f,g) + '&ror ($a0,$Sigma1[0])', # Sigma1(e) + '&and ($a3,$a2)', # (b^c)&(a^b) + + '&xor ($a1,$a)', + '&add ($h,$a0)', # h+=Sigma1(e) + '&xor ($a3,$b)', # Maj(a,b,c)=Ch(a^b,c,b) + + '&ror ($a1,$Sigma0[0])', # Sigma0(a) + '&add ($d,$h)', # d+=h + '&add ($h,$a3)', # h+=Maj(a,b,c) + + '&mov ($a0,$d)', + '&add ($a1,$h);'. # h+=Sigma0(a) + '($a2,$a3) = ($a3,$a2); unshift(@ROT,pop(@ROT)); $i++;' + ); +} + +###################################################################### +# SSSE3 code path +# +if ($SZ==4) { # SHA256 only +my $Tbl = $inp; +my $_ctx="-64(%rbp)"; +my $_inp="-56(%rbp)"; +my $_end="-48(%rbp)"; +my $framesz=3*8+$win64*16*4; + +my @X = map("%xmm$_",(0..3)); +my ($t0,$t1,$t2,$t3, $t4,$t5) = map("%xmm$_",(4..9)); + +$code.=<<___; +.type ${func}_ssse3,\@function,3,"unwind" +.align 64 +${func}_ssse3: +.cfi_startproc + push %rbp +.cfi_push %rbp + mov %rsp,%rbp +.cfi_def_cfa_register %rbp +.Lssse3_shortcut: + push %rbx +.cfi_push %rbx + push %r12 +.cfi_push %r12 + push %r13 +.cfi_push %r13 + push %r14 +.cfi_push %r14 + push %r15 +.cfi_push %r15 + shl \$4,%rdx # num*16 + sub \$$framesz,%rsp +.cfi_alloca $framesz + lea ($inp,%rdx,$SZ),%rdx # inp+num*16*$SZ + mov $ctx,$_ctx # save ctx, 1st arg + #mov $inp,$_inp # save inp, 2nd arg + mov %rdx,$_end # save end pointer, "3rd" arg +___ +$code.=<<___ if ($win64); + movaps %xmm6,-0x80(%rbp) + movaps %xmm7,-0x70(%rbp) + movaps %xmm8,-0x60(%rbp) + movaps %xmm9,-0x50(%rbp) +.cfi_offset %xmm6-%xmm9,-0x90 +___ +$code.=<<___; +.cfi_end_prologue + + lea -16*$SZ(%rsp),%rsp + mov $SZ*0($ctx),$A + and \$-64,%rsp # align stack + mov $SZ*1($ctx),$B + mov $SZ*2($ctx),$C + mov $SZ*3($ctx),$D + mov $SZ*4($ctx),$E + mov $SZ*5($ctx),$F + mov $SZ*6($ctx),$G + mov $SZ*7($ctx),$H +___ + +$code.=<<___; + #movdqa $TABLE+`$SZ*2*$rounds`+32(%rip),$t4 + #movdqa $TABLE+`$SZ*2*$rounds`+64(%rip),$t5 + jmp .Lloop_ssse3 +.align 16 +.Lloop_ssse3: + movdqa $TABLE+`$SZ*2*$rounds`(%rip),$t3 + mov $inp,$_inp # offload $inp + movdqu 0x00($inp),@X[0] + movdqu 0x10($inp),@X[1] + movdqu 0x20($inp),@X[2] + pshufb $t3,@X[0] + movdqu 0x30($inp),@X[3] + lea $TABLE(%rip),$Tbl + pshufb $t3,@X[1] + movdqa 0x00($Tbl),$t0 + movdqa 0x20($Tbl),$t1 + pshufb $t3,@X[2] + paddd @X[0],$t0 + movdqa 0x40($Tbl),$t2 + pshufb $t3,@X[3] + movdqa 0x60($Tbl),$t3 + paddd @X[1],$t1 + paddd @X[2],$t2 + paddd @X[3],$t3 + movdqa $t0,0x00(%rsp) + mov $A,$a1 + movdqa $t1,0x10(%rsp) + mov $B,$a3 + movdqa $t2,0x20(%rsp) + xor $C,$a3 # magic + movdqa $t3,0x30(%rsp) + mov $E,$a0 + jmp .Lssse3_00_47 + +.align 16 +.Lssse3_00_47: + sub \$`-16*2*$SZ`,$Tbl # size optimization +___ +sub Xupdate_256_SSSE3 () { + ( + '&movdqa ($t0,@X[1]);', + '&movdqa ($t3,@X[3])', + '&palignr ($t0,@X[0],$SZ)', # X[1..4] + '&palignr ($t3,@X[2],$SZ);', # X[9..12] + '&movdqa ($t1,$t0)', + '&movdqa ($t2,$t0);', + '&psrld ($t0,$sigma0[2])', + '&paddd (@X[0],$t3);', # X[0..3] += X[9..12] + '&psrld ($t2,$sigma0[0])', + '&pshufd ($t3,@X[3],0b11111010)',# X[14..15] + '&pslld ($t1,8*$SZ-$sigma0[1]);'. + '&pxor ($t0,$t2)', + '&psrld ($t2,$sigma0[1]-$sigma0[0]);'. + '&pxor ($t0,$t1)', + '&pslld ($t1,$sigma0[1]-$sigma0[0]);'. + '&pxor ($t0,$t2);', + '&movdqa ($t2,$t3)', + '&pxor ($t0,$t1);', # sigma0(X[1..4]) + '&psrld ($t3,$sigma1[2])', + '&paddd (@X[0],$t0);', # X[0..3] += sigma0(X[1..4]) + '&psrlq ($t2,$sigma1[0])', + '&pxor ($t3,$t2);', + '&psrlq ($t2,$sigma1[1]-$sigma1[0])', + '&pxor ($t3,$t2)', + '&pshufb ($t3,$t4)', # sigma1(X[14..15]) + '&paddd (@X[0],$t3)', # X[0..1] += sigma1(X[14..15]) + '&pshufd ($t3,@X[0],0b01010000)',# X[16..17] + '&movdqa ($t2,$t3);', + '&psrld ($t3,$sigma1[2])', + '&psrlq ($t2,$sigma1[0])', + '&pxor ($t3,$t2);', + '&psrlq ($t2,$sigma1[1]-$sigma1[0])', + '&pxor ($t3,$t2);', + '&movdqa ($t2,16*2*$j."($Tbl)")', + '&pshufb ($t3,$t5)', + '&paddd (@X[0],$t3)' # X[2..3] += sigma1(X[16..17]) + ); +} + +sub SSSE3_256_00_47 () { +my $j = shift; +my $body = shift; +my @X = @_; +my @insns = (&$body,&$body,&$body,&$body); # 104 instructions + + if (0) { + foreach (Xupdate_256_SSSE3()) { # 36 instructions + eval; + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + } + } else { # squeeze extra 4% on Westmere and 19% on Atom + eval(shift(@insns)); #@ + &movdqa ($t0,@X[1]); + eval(shift(@insns)); + eval(shift(@insns)); + &movdqa ($t3,@X[3]); + eval(shift(@insns)); #@ + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); #@ + eval(shift(@insns)); + &palignr ($t0,@X[0],$SZ); # X[1..4] + eval(shift(@insns)); + eval(shift(@insns)); + &palignr ($t3,@X[2],$SZ); # X[9..12] + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); #@ + &movdqa ($t1,$t0); + eval(shift(@insns)); + eval(shift(@insns)); + &movdqa ($t2,$t0); + eval(shift(@insns)); #@ + eval(shift(@insns)); + &psrld ($t0,$sigma0[2]); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &paddd (@X[0],$t3); # X[0..3] += X[9..12] + eval(shift(@insns)); #@ + eval(shift(@insns)); + &psrld ($t2,$sigma0[0]); + eval(shift(@insns)); + eval(shift(@insns)); + &pshufd ($t3,@X[3],0b11111010); # X[4..15] + eval(shift(@insns)); + eval(shift(@insns)); #@ + &pslld ($t1,8*$SZ-$sigma0[1]); + eval(shift(@insns)); + eval(shift(@insns)); + &pxor ($t0,$t2); + eval(shift(@insns)); #@ + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); #@ + &psrld ($t2,$sigma0[1]-$sigma0[0]); + eval(shift(@insns)); + &pxor ($t0,$t1); + eval(shift(@insns)); + eval(shift(@insns)); + &pslld ($t1,$sigma0[1]-$sigma0[0]); + eval(shift(@insns)); + eval(shift(@insns)); + &pxor ($t0,$t2); + eval(shift(@insns)); + eval(shift(@insns)); #@ + &movdqa ($t2,$t3); + eval(shift(@insns)); + eval(shift(@insns)); + &pxor ($t0,$t1); # sigma0(X[1..4]) + eval(shift(@insns)); #@ + eval(shift(@insns)); + eval(shift(@insns)); + &psrld ($t3,$sigma1[2]); + eval(shift(@insns)); + eval(shift(@insns)); + &paddd (@X[0],$t0); # X[0..3] += sigma0(X[1..4]) + eval(shift(@insns)); #@ + eval(shift(@insns)); + &psrlq ($t2,$sigma1[0]); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &pxor ($t3,$t2); + eval(shift(@insns)); #@ + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); #@ + &psrlq ($t2,$sigma1[1]-$sigma1[0]); + eval(shift(@insns)); + eval(shift(@insns)); + &pxor ($t3,$t2); + eval(shift(@insns)); #@ + eval(shift(@insns)); + eval(shift(@insns)); + #&pshufb ($t3,$t4); # sigma1(X[14..15]) + &pshufd ($t3,$t3,0b10000000); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &psrldq ($t3,8); + eval(shift(@insns)); + eval(shift(@insns)); #@ + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); #@ + &paddd (@X[0],$t3); # X[0..1] += sigma1(X[14..15]) + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &pshufd ($t3,@X[0],0b01010000); # X[16..17] + eval(shift(@insns)); + eval(shift(@insns)); #@ + eval(shift(@insns)); + &movdqa ($t2,$t3); + eval(shift(@insns)); + eval(shift(@insns)); + &psrld ($t3,$sigma1[2]); + eval(shift(@insns)); + eval(shift(@insns)); #@ + &psrlq ($t2,$sigma1[0]); + eval(shift(@insns)); + eval(shift(@insns)); + &pxor ($t3,$t2); + eval(shift(@insns)); #@ + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); #@ + eval(shift(@insns)); + &psrlq ($t2,$sigma1[1]-$sigma1[0]); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &pxor ($t3,$t2); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); #@ + #&pshufb ($t3,$t5); + &pshufd ($t3,$t3,0b00001000); + eval(shift(@insns)); + eval(shift(@insns)); + &movdqa ($t2,16*2*$j."($Tbl)"); + eval(shift(@insns)); #@ + eval(shift(@insns)); + &pslldq ($t3,8); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &paddd (@X[0],$t3); # X[2..3] += sigma1(X[16..17]) + eval(shift(@insns)); #@ + eval(shift(@insns)); + eval(shift(@insns)); + } + &paddd ($t2,@X[0]); + foreach (@insns) { eval; } # remaining instructions + &movdqa (16*$j."(%rsp)",$t2); +} + + for ($i=0,$j=0; $j<4; $j++) { + &SSSE3_256_00_47($j,\&body_00_15,@X); + push(@X,shift(@X)); # rotate(@X) + } + &cmpb ($SZ-1+16*2*$SZ."($Tbl)",0); + &jne (".Lssse3_00_47"); + + for ($i=0; $i<16; ) { + foreach(body_00_15()) { eval; } + } +$code.=<<___; + mov $_ctx,$ctx + mov $a1,$A + mov $_inp,$inp + + add $SZ*0($ctx),$A + add $SZ*1($ctx),$B + add $SZ*2($ctx),$C + add $SZ*3($ctx),$D + add $SZ*4($ctx),$E + add $SZ*5($ctx),$F + add $SZ*6($ctx),$G + add $SZ*7($ctx),$H + + lea 16*$SZ($inp),$inp + cmp $_end,$inp + + mov $A,$SZ*0($ctx) + mov $B,$SZ*1($ctx) + mov $C,$SZ*2($ctx) + mov $D,$SZ*3($ctx) + mov $E,$SZ*4($ctx) + mov $F,$SZ*5($ctx) + mov $G,$SZ*6($ctx) + mov $H,$SZ*7($ctx) + jb .Lloop_ssse3 + +___ +$code.=<<___ if ($win64); + movaps -0x80(%rbp),%xmm6 + movaps -0x70(%rbp),%xmm7 + movaps -0x60(%rbp),%xmm8 + movaps -0x50(%rbp),%xmm9 +___ +$code.=<<___; + mov -40(%rbp),%r15 + mov -32(%rbp),%r14 + mov -24(%rbp),%r13 + mov -16(%rbp),%r12 + mov -8(%rbp),%rbx + mov %rbp,%rsp +.cfi_def_cfa_register %rsp + pop %rbp +.cfi_pop %rbp +.cfi_epilogue + ret +.cfi_endproc +.size ${func}_ssse3,.-${func}_ssse3 +___ +} + +if ($avx) {{ +###################################################################### +# XOP code path +# +if ($SZ==8) { # SHA512 only +my $Tbl=$inp; +my $_ctx="-64(%rbp)"; +my $_inp="-56(%rbp)"; +my $_end="-48(%rbp)"; +my $framesz=3*8+$win64*16*6; + +$code.=<<___; +.type ${func}_xop,\@function,3,"unwind" +.align 64 +${func}_xop: +.cfi_startproc + push %rbp +.cfi_push %rbp + mov %rsp,%rbp +.cfi_def_cfa_register %rbp +.Lxop_shortcut: + push %rbx +.cfi_push %rbx + push %r12 +.cfi_push %r12 + push %r13 +.cfi_push %r13 + push %r14 +.cfi_push %r14 + push %r15 +.cfi_push %r15 + shl \$4,%rdx # num*16 + sub \$$framesz,%rsp +.cfi_alloca $framesz + lea ($inp,%rdx,$SZ),%rdx # inp+num*16*$SZ + mov $ctx,$_ctx # save ctx, 1st arg + #mov $inp,$_inp # save inp, 2nd arg + mov %rdx,$_end # save end pointer, "3rd" arg +___ +$code.=<<___ if ($win64); + movaps %xmm6,-0xa0(%rbp) + movaps %xmm7,-0x90(%rbp) + movaps %xmm8,-0x80(%rbp) + movaps %xmm9,-0x70(%rbp) +.cfi_offset %xmm6-%xmm9,-0xb0 +___ +$code.=<<___ if ($win64 && $SZ>4); + movaps %xmm10,-0x60(%rbp) + movaps %xmm11,-0x50(%rbp) +.cfi_offset %xmm10-%xmm11,-0x70 +___ +$code.=<<___; +.cfi_end_prologue + + lea -16*$SZ(%rsp),%rsp + vzeroupper + and \$-64,%rsp # align stack + mov $SZ*0($ctx),$A + mov $SZ*1($ctx),$B + mov $SZ*2($ctx),$C + mov $SZ*3($ctx),$D + mov $SZ*4($ctx),$E + mov $SZ*5($ctx),$F + mov $SZ*6($ctx),$G + mov $SZ*7($ctx),$H + jmp .Lloop_xop +___ + if ($SZ==4) { # SHA256 + my @X = map("%xmm$_",(0..3)); + my ($t0,$t1,$t2,$t3) = map("%xmm$_",(4..7)); + +$code.=<<___; +.align 16 +.Lloop_xop: + vmovdqa $TABLE+`$SZ*2*$rounds`(%rip),$t3 + mov $inp,$_inp # offload $inp + vmovdqu 0x00($inp),@X[0] + vmovdqu 0x10($inp),@X[1] + vmovdqu 0x20($inp),@X[2] + vmovdqu 0x30($inp),@X[3] + vpshufb $t3,@X[0],@X[0] + lea $TABLE(%rip),$Tbl + vpshufb $t3,@X[1],@X[1] + vpshufb $t3,@X[2],@X[2] + vpaddd 0x00($Tbl),@X[0],$t0 + vpshufb $t3,@X[3],@X[3] + vpaddd 0x20($Tbl),@X[1],$t1 + vpaddd 0x40($Tbl),@X[2],$t2 + vpaddd 0x60($Tbl),@X[3],$t3 + vmovdqa $t0,0x00(%rsp) + mov $A,$a1 + vmovdqa $t1,0x10(%rsp) + mov $B,$a3 + vmovdqa $t2,0x20(%rsp) + xor $C,$a3 # magic + vmovdqa $t3,0x30(%rsp) + mov $E,$a0 + jmp .Lxop_00_47 + +.align 16 +.Lxop_00_47: + sub \$`-16*2*$SZ`,$Tbl # size optimization +___ +sub XOP_256_00_47 () { +my $j = shift; +my $body = shift; +my @X = @_; +my @insns = (&$body,&$body,&$body,&$body); # 104 instructions + + &vpalignr ($t0,@X[1],@X[0],$SZ); # X[1..4] + eval(shift(@insns)); + eval(shift(@insns)); + &vpalignr ($t3,@X[3],@X[2],$SZ); # X[9..12] + eval(shift(@insns)); + eval(shift(@insns)); + &vprotd ($t1,$t0,8*$SZ-$sigma0[1]); + eval(shift(@insns)); + eval(shift(@insns)); + &vpsrld ($t0,$t0,$sigma0[2]); + eval(shift(@insns)); + eval(shift(@insns)); + &vpaddd (@X[0],@X[0],$t3); # X[0..3] += X[9..12] + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &vprotd ($t2,$t1,$sigma0[1]-$sigma0[0]); + eval(shift(@insns)); + eval(shift(@insns)); + &vpxor ($t0,$t0,$t1); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &vprotd ($t3,@X[3],8*$SZ-$sigma1[1]); + eval(shift(@insns)); + eval(shift(@insns)); + &vpxor ($t0,$t0,$t2); # sigma0(X[1..4]) + eval(shift(@insns)); + eval(shift(@insns)); + &vpsrld ($t2,@X[3],$sigma1[2]); + eval(shift(@insns)); + eval(shift(@insns)); + &vpaddd (@X[0],@X[0],$t0); # X[0..3] += sigma0(X[1..4]) + eval(shift(@insns)); + eval(shift(@insns)); + &vprotd ($t1,$t3,$sigma1[1]-$sigma1[0]); + eval(shift(@insns)); + eval(shift(@insns)); + &vpxor ($t3,$t3,$t2); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &vpxor ($t3,$t3,$t1); # sigma1(X[14..15]) + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &vpsrldq ($t3,$t3,8); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &vpaddd (@X[0],@X[0],$t3); # X[0..1] += sigma1(X[14..15]) + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &vprotd ($t3,@X[0],8*$SZ-$sigma1[1]); + eval(shift(@insns)); + eval(shift(@insns)); + &vpsrld ($t2,@X[0],$sigma1[2]); + eval(shift(@insns)); + eval(shift(@insns)); + &vprotd ($t1,$t3,$sigma1[1]-$sigma1[0]); + eval(shift(@insns)); + eval(shift(@insns)); + &vpxor ($t3,$t3,$t2); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &vpxor ($t3,$t3,$t1); # sigma1(X[16..17]) + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &vpslldq ($t3,$t3,8); # 22 instructions + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &vpaddd (@X[0],@X[0],$t3); # X[2..3] += sigma1(X[16..17]) + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &vpaddd ($t2,@X[0],16*2*$j."($Tbl)"); + foreach (@insns) { eval; } # remaining instructions + &vmovdqa (16*$j."(%rsp)",$t2); +} + + for ($i=0,$j=0; $j<4; $j++) { + &XOP_256_00_47($j,\&body_00_15,@X); + push(@X,shift(@X)); # rotate(@X) + } + &cmpb ($SZ-1+16*2*$SZ."($Tbl)",0); + &jne (".Lxop_00_47"); + + for ($i=0; $i<16; ) { + foreach(body_00_15()) { eval; } + } + + } else { # SHA512 + my @X = map("%xmm$_",(0..7)); + my ($t0,$t1,$t2,$t3) = map("%xmm$_",(8..11)); + +$code.=<<___; +.align 16 +.Lloop_xop: + vmovdqa $TABLE+`$SZ*2*$rounds`(%rip),$t3 + mov $inp,$_inp # offload $inp + vmovdqu 0x00($inp),@X[0] + vmovdqu 0x10($inp),@X[1] + vmovdqu 0x20($inp),@X[2] + vpshufb $t3,@X[0],@X[0] + vmovdqu 0x30($inp),@X[3] + vpshufb $t3,@X[1],@X[1] + vmovdqu 0x40($inp),@X[4] + vpshufb $t3,@X[2],@X[2] + vmovdqu 0x50($inp),@X[5] + vpshufb $t3,@X[3],@X[3] + vmovdqu 0x60($inp),@X[6] + vpshufb $t3,@X[4],@X[4] + vmovdqu 0x70($inp),@X[7] + lea $TABLE+0x80(%rip),$Tbl # size optimization + vpshufb $t3,@X[5],@X[5] + vpaddq -0x80($Tbl),@X[0],$t0 + vpshufb $t3,@X[6],@X[6] + vpaddq -0x60($Tbl),@X[1],$t1 + vpshufb $t3,@X[7],@X[7] + vpaddq -0x40($Tbl),@X[2],$t2 + vpaddq -0x20($Tbl),@X[3],$t3 + vmovdqa $t0,0x00(%rsp) + vpaddq 0x00($Tbl),@X[4],$t0 + vmovdqa $t1,0x10(%rsp) + vpaddq 0x20($Tbl),@X[5],$t1 + vmovdqa $t2,0x20(%rsp) + vpaddq 0x40($Tbl),@X[6],$t2 + vmovdqa $t3,0x30(%rsp) + vpaddq 0x60($Tbl),@X[7],$t3 + vmovdqa $t0,0x40(%rsp) + mov $A,$a1 + vmovdqa $t1,0x50(%rsp) + mov $B,$a3 + vmovdqa $t2,0x60(%rsp) + xor $C,$a3 # magic + vmovdqa $t3,0x70(%rsp) + mov $E,$a0 + jmp .Lxop_00_47 + +.align 16 +.Lxop_00_47: + add \$`16*2*$SZ`,$Tbl +___ +sub XOP_512_00_47 () { +my $j = shift; +my $body = shift; +my @X = @_; +my @insns = (&$body,&$body); # 52 instructions + + &vpalignr ($t0,@X[1],@X[0],$SZ); # X[1..2] + eval(shift(@insns)); + eval(shift(@insns)); + &vpalignr ($t3,@X[5],@X[4],$SZ); # X[9..10] + eval(shift(@insns)); + eval(shift(@insns)); + &vprotq ($t1,$t0,8*$SZ-$sigma0[1]); + eval(shift(@insns)); + eval(shift(@insns)); + &vpsrlq ($t0,$t0,$sigma0[2]); + eval(shift(@insns)); + eval(shift(@insns)); + &vpaddq (@X[0],@X[0],$t3); # X[0..1] += X[9..10] + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &vprotq ($t2,$t1,$sigma0[1]-$sigma0[0]); + eval(shift(@insns)); + eval(shift(@insns)); + &vpxor ($t0,$t0,$t1); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &vprotq ($t3,@X[7],8*$SZ-$sigma1[1]); + eval(shift(@insns)); + eval(shift(@insns)); + &vpxor ($t0,$t0,$t2); # sigma0(X[1..2]) + eval(shift(@insns)); + eval(shift(@insns)); + &vpsrlq ($t2,@X[7],$sigma1[2]); + eval(shift(@insns)); + eval(shift(@insns)); + &vpaddq (@X[0],@X[0],$t0); # X[0..1] += sigma0(X[1..2]) + eval(shift(@insns)); + eval(shift(@insns)); + &vprotq ($t1,$t3,$sigma1[1]-$sigma1[0]); + eval(shift(@insns)); + eval(shift(@insns)); + &vpxor ($t3,$t3,$t2); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &vpxor ($t3,$t3,$t1); # sigma1(X[14..15]) + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &vpaddq (@X[0],@X[0],$t3); # X[0..1] += sigma1(X[14..15]) + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + &vpaddq ($t2,@X[0],16*2*$j-0x80."($Tbl)"); + foreach (@insns) { eval; } # remaining instructions + &vmovdqa (16*$j."(%rsp)",$t2); +} + + for ($i=0,$j=0; $j<8; $j++) { + &XOP_512_00_47($j,\&body_00_15,@X); + push(@X,shift(@X)); # rotate(@X) + } + &cmpb ($SZ-1+16*2*$SZ-0x80."($Tbl)",0); + &jne (".Lxop_00_47"); + + for ($i=0; $i<16; ) { + foreach(body_00_15()) { eval; } + } +} +$code.=<<___; + mov $_ctx,$ctx + mov $a1,$A + mov $_inp,$inp + + add $SZ*0($ctx),$A + add $SZ*1($ctx),$B + add $SZ*2($ctx),$C + add $SZ*3($ctx),$D + add $SZ*4($ctx),$E + add $SZ*5($ctx),$F + add $SZ*6($ctx),$G + add $SZ*7($ctx),$H + + lea 16*$SZ($inp),$inp + cmp $_end,$inp + + mov $A,$SZ*0($ctx) + mov $B,$SZ*1($ctx) + mov $C,$SZ*2($ctx) + mov $D,$SZ*3($ctx) + mov $E,$SZ*4($ctx) + mov $F,$SZ*5($ctx) + mov $G,$SZ*6($ctx) + mov $H,$SZ*7($ctx) + jb .Lloop_xop + + vzeroupper +___ +$code.=<<___ if ($win64); + movaps -0xa0(%rbp),%xmm6 + movaps -0x90(%rbp),%xmm7 + movaps -0x80(%rbp),%xmm8 + movaps -0x70(%rbp),%xmm9 +___ +$code.=<<___ if ($win64 && $SZ>4); + movaps -0x60(%rbp),%xmm10 + movaps -0x50(%rbp),%xmm11 +___ +$code.=<<___; + mov -40(%rbp),%r15 + mov -32(%rbp),%r14 + mov -24(%rbp),%r13 + mov -16(%rbp),%r12 + mov -8(%rbp),%rbx + mov %rbp,%rsp +.cfi_def_cfa_register %rsp + pop %rbp +.cfi_pop %rbp +.cfi_epilogue + ret +.cfi_endproc +.size ${func}_xop,.-${func}_xop +___ +} +###################################################################### +# AVX+shrd code path +# +my $Tbl=$inp; +my $_ctx="-64(%rbp)"; +my $_inp="-56(%rbp)"; +my $_end="-48(%rbp)"; +my $framesz=3*8+$win64*16*6; + +local *ror = sub { &shrd(@_[0],@_) }; + +$code.=<<___; +.type ${func}_avx,\@function,3,"unwind" +.align 64 +${func}_avx: +.cfi_startproc + push %rbp +.cfi_push %rbp + mov %rsp,%rbp +.cfi_def_cfa_register %rbp +.Lavx_shortcut: + push %rbx +.cfi_push %rbx + push %r12 +.cfi_push %r12 + push %r13 +.cfi_push %r13 + push %r14 +.cfi_push %r14 + push %r15 +.cfi_push %r15 + shl \$4,%rdx # num*16 + sub \$$framesz,%rsp +.cfi_alloca $framesz + lea ($inp,%rdx,$SZ),%rdx # inp+num*16*$SZ + mov $ctx,$_ctx # save ctx, 1st arg + #mov $inp,$_inp # save inp, 2nd arg + mov %rdx,$_end # save end pointer, "3rd" arg +___ +$code.=<<___ if ($win64); + movaps %xmm6,-0xa0(%rbp) + movaps %xmm7,-0x90(%rbp) + movaps %xmm8,-0x80(%rbp) + movaps %xmm9,-0x70(%rbp) +.cfi_offset %xmm6-%xmm9,-0xb0 +___ +$code.=<<___ if ($win64 && $SZ>4); + movaps %xmm10,-0x60(%rbp) + movaps %xmm11,-0x50(%rbp) +.cfi_offset %xmm10-%xmm11,-0x70 +___ +$code.=<<___; +.cfi_end_prologue + + lea -16*$SZ(%rsp),%rsp + vzeroupper + and \$-64,%rsp # align stack + mov $SZ*0($ctx),$A + mov $SZ*1($ctx),$B + mov $SZ*2($ctx),$C + mov $SZ*3($ctx),$D + mov $SZ*4($ctx),$E + mov $SZ*5($ctx),$F + mov $SZ*6($ctx),$G + mov $SZ*7($ctx),$H +___ + if ($SZ==4) { # SHA256 + my @X = map("%xmm$_",(0..3)); + my ($t0,$t1,$t2,$t3, $t4,$t5) = map("%xmm$_",(4..9)); + +$code.=<<___; + vmovdqa $TABLE+`$SZ*2*$rounds`+32(%rip),$t4 + vmovdqa $TABLE+`$SZ*2*$rounds`+64(%rip),$t5 + jmp .Lloop_avx +.align 16 +.Lloop_avx: + vmovdqa $TABLE+`$SZ*2*$rounds`(%rip),$t3 + mov $inp,$_inp # offload $inp + vmovdqu 0x00($inp),@X[0] + vmovdqu 0x10($inp),@X[1] + vmovdqu 0x20($inp),@X[2] + vmovdqu 0x30($inp),@X[3] + vpshufb $t3,@X[0],@X[0] + lea $TABLE(%rip),$Tbl + vpshufb $t3,@X[1],@X[1] + vpshufb $t3,@X[2],@X[2] + vpaddd 0x00($Tbl),@X[0],$t0 + vpshufb $t3,@X[3],@X[3] + vpaddd 0x20($Tbl),@X[1],$t1 + vpaddd 0x40($Tbl),@X[2],$t2 + vpaddd 0x60($Tbl),@X[3],$t3 + vmovdqa $t0,0x00(%rsp) + mov $A,$a1 + vmovdqa $t1,0x10(%rsp) + mov $B,$a3 + vmovdqa $t2,0x20(%rsp) + xor $C,$a3 # magic + vmovdqa $t3,0x30(%rsp) + mov $E,$a0 + jmp .Lavx_00_47 + +.align 16 +.Lavx_00_47: + sub \$`-16*2*$SZ`,$Tbl # size optimization +___ +sub Xupdate_256_AVX () { + ( + '&vpalignr ($t0,@X[1],@X[0],$SZ)', # X[1..4] + '&vpalignr ($t3,@X[3],@X[2],$SZ)', # X[9..12] + '&vpsrld ($t2,$t0,$sigma0[0]);', + '&vpaddd (@X[0],@X[0],$t3)', # X[0..3] += X[9..12] + '&vpsrld ($t3,$t0,$sigma0[2])', + '&vpslld ($t1,$t0,8*$SZ-$sigma0[1]);', + '&vpxor ($t0,$t3,$t2)', + '&vpshufd ($t3,@X[3],0b11111010)',# X[14..15] + '&vpsrld ($t2,$t2,$sigma0[1]-$sigma0[0]);', + '&vpxor ($t0,$t0,$t1)', + '&vpslld ($t1,$t1,$sigma0[1]-$sigma0[0]);', + '&vpxor ($t0,$t0,$t2)', + '&vpsrld ($t2,$t3,$sigma1[2]);', + '&vpxor ($t0,$t0,$t1)', # sigma0(X[1..4]) + '&vpsrlq ($t3,$t3,$sigma1[0]);', + '&vpaddd (@X[0],@X[0],$t0)', # X[0..3] += sigma0(X[1..4]) + '&vpxor ($t2,$t2,$t3);', + '&vpsrlq ($t3,$t3,$sigma1[1]-$sigma1[0])', + '&vpxor ($t2,$t2,$t3)', + '&vpshufb ($t2,$t2,$t4)', # sigma1(X[14..15]) + '&vpaddd (@X[0],@X[0],$t2)', # X[0..1] += sigma1(X[14..15]) + '&vpshufd ($t3,@X[0],0b01010000)',# X[16..17] + '&vpsrld ($t2,$t3,$sigma1[2])', + '&vpsrlq ($t3,$t3,$sigma1[0])', + '&vpxor ($t2,$t2,$t3);', + '&vpsrlq ($t3,$t3,$sigma1[1]-$sigma1[0])', + '&vpxor ($t2,$t2,$t3)', + '&vpshufb ($t2,$t2,$t5)', + '&vpaddd (@X[0],@X[0],$t2)' # X[2..3] += sigma1(X[16..17]) + ); +} + +sub AVX_256_00_47 () { +my $j = shift; +my $body = shift; +my @X = @_; +my @insns = (&$body,&$body,&$body,&$body); # 104 instructions + + foreach (Xupdate_256_AVX()) { # 29 instructions + eval; + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + } + &vpaddd ($t2,@X[0],16*2*$j."($Tbl)"); + foreach (@insns) { eval; } # remaining instructions + &vmovdqa (16*$j."(%rsp)",$t2); +} + + for ($i=0,$j=0; $j<4; $j++) { + &AVX_256_00_47($j,\&body_00_15,@X); + push(@X,shift(@X)); # rotate(@X) + } + &cmpb ($SZ-1+16*2*$SZ."($Tbl)",0); + &jne (".Lavx_00_47"); + + for ($i=0; $i<16; ) { + foreach(body_00_15()) { eval; } + } + + } else { # SHA512 + my @X = map("%xmm$_",(0..7)); + my ($t0,$t1,$t2,$t3) = map("%xmm$_",(8..11)); + +$code.=<<___; + jmp .Lloop_avx +.align 16 +.Lloop_avx: + vmovdqa $TABLE+`$SZ*2*$rounds`(%rip),$t3 + mov $inp,$_inp # offload $inp + vmovdqu 0x00($inp),@X[0] + vmovdqu 0x10($inp),@X[1] + vmovdqu 0x20($inp),@X[2] + vpshufb $t3,@X[0],@X[0] + vmovdqu 0x30($inp),@X[3] + vpshufb $t3,@X[1],@X[1] + vmovdqu 0x40($inp),@X[4] + vpshufb $t3,@X[2],@X[2] + vmovdqu 0x50($inp),@X[5] + vpshufb $t3,@X[3],@X[3] + vmovdqu 0x60($inp),@X[6] + vpshufb $t3,@X[4],@X[4] + vmovdqu 0x70($inp),@X[7] + lea $TABLE+0x80(%rip),$Tbl # size optimization + vpshufb $t3,@X[5],@X[5] + vpaddq -0x80($Tbl),@X[0],$t0 + vpshufb $t3,@X[6],@X[6] + vpaddq -0x60($Tbl),@X[1],$t1 + vpshufb $t3,@X[7],@X[7] + vpaddq -0x40($Tbl),@X[2],$t2 + vpaddq -0x20($Tbl),@X[3],$t3 + vmovdqa $t0,0x00(%rsp) + vpaddq 0x00($Tbl),@X[4],$t0 + vmovdqa $t1,0x10(%rsp) + vpaddq 0x20($Tbl),@X[5],$t1 + vmovdqa $t2,0x20(%rsp) + vpaddq 0x40($Tbl),@X[6],$t2 + vmovdqa $t3,0x30(%rsp) + vpaddq 0x60($Tbl),@X[7],$t3 + vmovdqa $t0,0x40(%rsp) + mov $A,$a1 + vmovdqa $t1,0x50(%rsp) + mov $B,$a3 + vmovdqa $t2,0x60(%rsp) + xor $C,$a3 # magic + vmovdqa $t3,0x70(%rsp) + mov $E,$a0 + jmp .Lavx_00_47 + +.align 16 +.Lavx_00_47: + add \$`16*2*$SZ`,$Tbl +___ +sub Xupdate_512_AVX () { + ( + '&vpalignr ($t0,@X[1],@X[0],$SZ)', # X[1..2] + '&vpalignr ($t3,@X[5],@X[4],$SZ)', # X[9..10] + '&vpsrlq ($t2,$t0,$sigma0[0])', + '&vpaddq (@X[0],@X[0],$t3);', # X[0..1] += X[9..10] + '&vpsrlq ($t3,$t0,$sigma0[2])', + '&vpsllq ($t1,$t0,8*$SZ-$sigma0[1]);', + '&vpxor ($t0,$t3,$t2)', + '&vpsrlq ($t2,$t2,$sigma0[1]-$sigma0[0]);', + '&vpxor ($t0,$t0,$t1)', + '&vpsllq ($t1,$t1,$sigma0[1]-$sigma0[0]);', + '&vpxor ($t0,$t0,$t2)', + '&vpsrlq ($t3,@X[7],$sigma1[2]);', + '&vpxor ($t0,$t0,$t1)', # sigma0(X[1..2]) + '&vpsllq ($t2,@X[7],8*$SZ-$sigma1[1]);', + '&vpaddq (@X[0],@X[0],$t0)', # X[0..1] += sigma0(X[1..2]) + '&vpsrlq ($t1,@X[7],$sigma1[0]);', + '&vpxor ($t3,$t3,$t2)', + '&vpsllq ($t2,$t2,$sigma1[1]-$sigma1[0]);', + '&vpxor ($t3,$t3,$t1)', + '&vpsrlq ($t1,$t1,$sigma1[1]-$sigma1[0]);', + '&vpxor ($t3,$t3,$t2)', + '&vpxor ($t3,$t3,$t1)', # sigma1(X[14..15]) + '&vpaddq (@X[0],@X[0],$t3)', # X[0..1] += sigma1(X[14..15]) + ); +} + +sub AVX_512_00_47 () { +my $j = shift; +my $body = shift; +my @X = @_; +my @insns = (&$body,&$body); # 52 instructions + + foreach (Xupdate_512_AVX()) { # 23 instructions + eval; + eval(shift(@insns)); + eval(shift(@insns)); + } + &vpaddq ($t2,@X[0],16*2*$j-0x80."($Tbl)"); + foreach (@insns) { eval; } # remaining instructions + &vmovdqa (16*$j."(%rsp)",$t2); +} + + for ($i=0,$j=0; $j<8; $j++) { + &AVX_512_00_47($j,\&body_00_15,@X); + push(@X,shift(@X)); # rotate(@X) + } + &cmpb ($SZ-1+16*2*$SZ-0x80."($Tbl)",0); + &jne (".Lavx_00_47"); + + for ($i=0; $i<16; ) { + foreach(body_00_15()) { eval; } + } +} +$code.=<<___; + mov $_ctx,$ctx + mov $a1,$A + mov $_inp,$inp + + add $SZ*0($ctx),$A + add $SZ*1($ctx),$B + add $SZ*2($ctx),$C + add $SZ*3($ctx),$D + add $SZ*4($ctx),$E + add $SZ*5($ctx),$F + add $SZ*6($ctx),$G + add $SZ*7($ctx),$H + + lea 16*$SZ($inp),$inp + cmp $_end,$inp + + mov $A,$SZ*0($ctx) + mov $B,$SZ*1($ctx) + mov $C,$SZ*2($ctx) + mov $D,$SZ*3($ctx) + mov $E,$SZ*4($ctx) + mov $F,$SZ*5($ctx) + mov $G,$SZ*6($ctx) + mov $H,$SZ*7($ctx) + jb .Lloop_avx + + vzeroupper +___ +$code.=<<___ if ($win64); + movaps -0xa0(%rbp),%xmm6 + movaps -0x90(%rbp),%xmm7 + movaps -0x80(%rbp),%xmm8 + movaps -0x70(%rbp),%xmm9 +___ +$code.=<<___ if ($win64 && $SZ>4); + movaps -0x60(%rbp),%xmm10 + movaps -0x50(%rbp),%xmm11 +___ +$code.=<<___; + mov -40(%rbp),%r15 + mov -32(%rbp),%r14 + mov -24(%rbp),%r13 + mov -16(%rbp),%r12 + mov -8(%rbp),%rbx + mov %rbp,%rsp +.cfi_def_cfa_register %rsp + pop %rbp +.cfi_pop %rbp +.cfi_epilogue + ret +.cfi_endproc +.size ${func}_avx,.-${func}_avx +___ + +if ($avx>1) {{ +###################################################################### +# AVX2+BMI code path +# +my $Tbl=$inp; +my $_ctx="-64(%rbp)"; +my $_inp="-56(%rbp)"; +my $_end="-48(%rbp)"; +my $framesz=3*8+$win64*16*6; +my $PUSH8=8*2*$SZ; +use integer; + +sub bodyx_00_15 () { + # at start $a1 should be zero, $a3 - $b^$c and $a4 copy of $f + ( + '($a,$b,$c,$d,$e,$f,$g,$h)=@ROT;'. + + '&add ($h,(32*($i/(16/$SZ))+$SZ*($i%(16/$SZ)))%$PUSH8.$base)', # h+=X[i]+K[i] + '&and ($a4,$e)', # f&e + '&rorx ($a0,$e,$Sigma1[2])', + '&rorx ($a2,$e,$Sigma1[1])', + + '&lea ($a,"($a,$a1)")', # h+=Sigma0(a) from the past + '&lea ($h,"($h,$a4)")', + '&andn ($a4,$e,$g)', # ~e&g + '&xor ($a0,$a2)', + + '&rorx ($a1,$e,$Sigma1[0])', + '&lea ($h,"($h,$a4)")', # h+=Ch(e,f,g)=(e&f)+(~e&g) + '&xor ($a0,$a1)', # Sigma1(e) + '&mov ($a2,$a)', + + '&rorx ($a4,$a,$Sigma0[2])', + '&lea ($h,"($h,$a0)")', # h+=Sigma1(e) + '&xor ($a2,$b)', # a^b, b^c in next round + '&rorx ($a1,$a,$Sigma0[1])', + + '&rorx ($a0,$a,$Sigma0[0])', + '&lea ($d,"($d,$h)")', # d+=h + '&and ($a3,$a2)', # (b^c)&(a^b) + '&xor ($a1,$a4)', + + '&xor ($a3,$b)', # Maj(a,b,c)=Ch(a^b,c,b) + '&xor ($a1,$a0)', # Sigma0(a) + '&lea ($h,"($h,$a3)");'. # h+=Maj(a,b,c) + '&mov ($a4,$e)', # copy of f in future + + '($a2,$a3) = ($a3,$a2); unshift(@ROT,pop(@ROT)); $i++;' + ); + # and at the finish one has to $a+=$a1 +} + +$code.=<<___; +.type ${func}_avx2,\@function,3,"unwind" +.align 64 +${func}_avx2: +.cfi_startproc + push %rbp +.cfi_push %rbp + mov %rsp,%rbp +.cfi_def_cfa_register %rbp +.Lavx2_shortcut: + push %rbx +.cfi_push %rbx + push %r12 +.cfi_push %r12 + push %r13 +.cfi_push %r13 + push %r14 +.cfi_push %r14 + push %r15 +.cfi_push %r15 + shl \$4,%rdx # num*16 + sub \$$framesz,%rsp +.cfi_alloca $framesz + lea ($inp,%rdx,$SZ),%rdx # inp+num*16*$SZ + mov $ctx,$_ctx # save ctx, 1st arg + #mov $inp,$_inp # save inp, 2nd arg + mov %rdx,$_end # save end pointer, "3rd" arg +___ +$code.=<<___ if ($win64); + movaps %xmm6,-0xa0(%rbp) + movaps %xmm7,-0x90(%rbp) + movaps %xmm8,-0x80(%rbp) + movaps %xmm9,-0x70(%rbp) +.cfi_offset %xmm6-%xmm9,-0xb0 +___ +$code.=<<___ if ($win64 && $SZ>4); + movaps %xmm10,-0x60(%rbp) + movaps %xmm11,-0x50(%rbp) +.cfi_offset %xmm10-%xmm11,-0x70 +___ +$code.=<<___; +.cfi_end_prologue + + lea -$PUSH8(%rsp),%rsp + vzeroupper + and \$-$PUSH8,%rsp # align stack + sub \$-16*$SZ,$inp # inp++, size optimization + mov $SZ*0($ctx),$A + mov $inp,%r12 # borrow $T1 + mov $SZ*1($ctx),$B + cmp %rdx,$inp # $_end + mov $SZ*2($ctx),$C + cmove %rsp,%r12 # next block or random data + mov $SZ*3($ctx),$D + mov $SZ*4($ctx),$E + mov $SZ*5($ctx),$F + mov $SZ*6($ctx),$G + mov $SZ*7($ctx),$H +___ + if ($SZ==4) { # SHA256 + my @X = map("%ymm$_",(0..3)); + my ($t0,$t1,$t2,$t3, $t4,$t5) = map("%ymm$_",(4..9)); + +$code.=<<___; + vmovdqa $TABLE+`$SZ*2*$rounds`+32(%rip),$t4 + vmovdqa $TABLE+`$SZ*2*$rounds`+64(%rip),$t5 + jmp .Loop_avx2 +.align 16 +.Loop_avx2: + vmovdqa $TABLE+`$SZ*2*$rounds`(%rip),$t3 + mov $inp,$_inp # offload $inp + vmovdqu -16*$SZ+0($inp),%xmm0 + vmovdqu -16*$SZ+16($inp),%xmm1 + vmovdqu -16*$SZ+32($inp),%xmm2 + vmovdqu -16*$SZ+48($inp),%xmm3 + lea $TABLE(%rip),$Tbl + vinserti128 \$1,(%r12),@X[0],@X[0] + vinserti128 \$1,16(%r12),@X[1],@X[1] + vpshufb $t3,@X[0],@X[0] + vinserti128 \$1,32(%r12),@X[2],@X[2] + vpshufb $t3,@X[1],@X[1] + vinserti128 \$1,48(%r12),@X[3],@X[3] + + vpshufb $t3,@X[2],@X[2] + vpaddd 0x00($Tbl),@X[0],$t0 + vpshufb $t3,@X[3],@X[3] + vpaddd 0x20($Tbl),@X[1],$t1 + vpaddd 0x40($Tbl),@X[2],$t2 + vpaddd 0x60($Tbl),@X[3],$t3 + vmovdqa $t0,0x00(%rsp) + xor $a1,$a1 + vmovdqa $t1,0x20(%rsp) + lea -$PUSH8(%rsp),%rsp + mov $B,$a3 + vmovdqa $t2,0x00(%rsp) + xor $C,$a3 # magic + vmovdqa $t3,0x20(%rsp) + mov $F,$a4 + sub \$-16*2*$SZ,$Tbl # size optimization + jmp .Lavx2_00_47 + +.align 16 +.Lavx2_00_47: +___ + +sub AVX2_256_00_47 () { +my $j = shift; +my $body = shift; +my @X = @_; +my @insns = (&$body,&$body,&$body,&$body); # 96 instructions +my $base = "+2*$PUSH8(%rsp)"; + + &lea ("%rsp","-$PUSH8(%rsp)") if (($j%2)==0); + foreach (Xupdate_256_AVX()) { # 29 instructions + eval; + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + } + &vpaddd ($t2,@X[0],16*2*$j."($Tbl)"); + foreach (@insns) { eval; } # remaining instructions + &vmovdqa ((32*$j)%$PUSH8."(%rsp)",$t2); +} + + for ($i=0,$j=0; $j<4; $j++) { + &AVX2_256_00_47($j,\&bodyx_00_15,@X); + push(@X,shift(@X)); # rotate(@X) + } + &lea ($Tbl,16*2*$SZ."($Tbl)"); + &cmpb (($SZ-1)."($Tbl)",0); + &jne (".Lavx2_00_47"); + + for ($i=0; $i<16; ) { + my $base=$i<8?"+$PUSH8(%rsp)":"(%rsp)"; + foreach(bodyx_00_15()) { eval; } + } + } else { # SHA512 + my @X = map("%ymm$_",(0..7)); + my ($t0,$t1,$t2,$t3) = map("%ymm$_",(8..11)); + +$code.=<<___; + jmp .Loop_avx2 +.align 16 +.Loop_avx2: + vmovdqa $TABLE+`$SZ*2*$rounds`(%rip),$t2 + mov $inp,$_inp # offload $inp + vmovdqu -16*$SZ($inp),%xmm0 + vmovdqu -16*$SZ+16($inp),%xmm1 + vmovdqu -16*$SZ+32($inp),%xmm2 + vmovdqu -16*$SZ+48($inp),%xmm3 + vmovdqu -16*$SZ+64($inp),%xmm4 + vmovdqu -16*$SZ+80($inp),%xmm5 + vmovdqu -16*$SZ+96($inp),%xmm6 + vmovdqu -16*$SZ+112($inp),%xmm7 + lea $TABLE+0x80(%rip),$Tbl # size optimization + vinserti128 \$1,(%r12),@X[0],@X[0] + vinserti128 \$1,16(%r12),@X[1],@X[1] + vpshufb $t2,@X[0],@X[0] + vinserti128 \$1,32(%r12),@X[2],@X[2] + vpshufb $t2,@X[1],@X[1] + vinserti128 \$1,48(%r12),@X[3],@X[3] + vpshufb $t2,@X[2],@X[2] + vinserti128 \$1,64(%r12),@X[4],@X[4] + vpshufb $t2,@X[3],@X[3] + vinserti128 \$1,80(%r12),@X[5],@X[5] + vpshufb $t2,@X[4],@X[4] + vinserti128 \$1,96(%r12),@X[6],@X[6] + vpshufb $t2,@X[5],@X[5] + vinserti128 \$1,112(%r12),@X[7],@X[7] + + vpaddq -0x80($Tbl),@X[0],$t0 + vpshufb $t2,@X[6],@X[6] + vpaddq -0x60($Tbl),@X[1],$t1 + vpshufb $t2,@X[7],@X[7] + vpaddq -0x40($Tbl),@X[2],$t2 + vpaddq -0x20($Tbl),@X[3],$t3 + vmovdqa $t0,0x00(%rsp) + vpaddq 0x00($Tbl),@X[4],$t0 + vmovdqa $t1,0x20(%rsp) + vpaddq 0x20($Tbl),@X[5],$t1 + vmovdqa $t2,0x40(%rsp) + vpaddq 0x40($Tbl),@X[6],$t2 + vmovdqa $t3,0x60(%rsp) + lea -$PUSH8(%rsp),%rsp + vpaddq 0x60($Tbl),@X[7],$t3 + vmovdqa $t0,0x00(%rsp) + xor $a1,$a1 + vmovdqa $t1,0x20(%rsp) + mov $B,$a3 + vmovdqa $t2,0x40(%rsp) + xor $C,$a3 # magic + vmovdqa $t3,0x60(%rsp) + mov $F,$a4 + add \$16*2*$SZ,$Tbl + jmp .Lavx2_00_47 + +.align 16 +.Lavx2_00_47: +___ + +sub AVX2_512_00_47 () { +my $j = shift; +my $body = shift; +my @X = @_; +my @insns = (&$body,&$body); # 48 instructions +my $base = "+2*$PUSH8(%rsp)"; + + &lea ("%rsp","-$PUSH8(%rsp)") if (($j%4)==0); + foreach (Xupdate_512_AVX()) { # 23 instructions + eval; + if ($_ !~ /\;$/) { + eval(shift(@insns)); + eval(shift(@insns)); + eval(shift(@insns)); + } + } + &vpaddq ($t2,@X[0],16*2*$j-0x80."($Tbl)"); + foreach (@insns) { eval; } # remaining instructions + &vmovdqa ((32*$j)%$PUSH8."(%rsp)",$t2); +} + + for ($i=0,$j=0; $j<8; $j++) { + &AVX2_512_00_47($j,\&bodyx_00_15,@X); + push(@X,shift(@X)); # rotate(@X) + } + &lea ($Tbl,16*2*$SZ."($Tbl)"); + &cmpb (($SZ-1-0x80)."($Tbl)",0); + &jne (".Lavx2_00_47"); + + for ($i=0; $i<16; ) { + my $base=$i<8?"+$PUSH8(%rsp)":"(%rsp)"; + foreach(bodyx_00_15()) { eval; } + } +} +$code.=<<___; + mov $_ctx,$ctx + add $a1,$A + mov $_inp,$a4 + + add $SZ*0($ctx),$A + add $SZ*1($ctx),$B + add $SZ*2($ctx),$C + add $SZ*3($ctx),$D + add $SZ*4($ctx),$E + add $SZ*5($ctx),$F + add $SZ*6($ctx),$G + add $SZ*7($ctx),$H + + mov $A,$SZ*0($ctx) + mov $B,$SZ*1($ctx) + mov $C,$SZ*2($ctx) + mov $D,$SZ*3($ctx) + mov $E,$SZ*4($ctx) + mov $F,$SZ*5($ctx) + mov $G,$SZ*6($ctx) + mov $H,$SZ*7($ctx) + + cmp $_end,$a4 + je .Ldone_avx2 + + lea `2*$SZ*($rounds-8)`(%rsp),$Tbl + xor $a1,$a1 + mov $B,$a3 + xor $C,$a3 # magic + mov $F,$a4 + jmp .Lower_avx2 +.align 16 +.Lower_avx2: +___ + for ($i=0; $i<8; ) { + my $base="+16($Tbl)"; + foreach(bodyx_00_15()) { eval; } + } +$code.=<<___; + lea -$PUSH8($Tbl),$Tbl + cmp %rsp,$Tbl + jae .Lower_avx2 + + mov $_ctx,$ctx + add $a1,$A + mov $_inp,$inp + lea `2*$SZ*($rounds-8)`(%rsp),%rsp + + add $SZ*0($ctx),$A + add $SZ*1($ctx),$B + add $SZ*2($ctx),$C + add $SZ*3($ctx),$D + add $SZ*4($ctx),$E + add $SZ*5($ctx),$F + lea `2*16*$SZ`($inp),$inp # inp+=2 + add $SZ*6($ctx),$G + mov $inp,%r12 + add $SZ*7($ctx),$H + cmp $_end,$inp + + mov $A,$SZ*0($ctx) + cmove %rsp,%r12 # next block or stale data + mov $B,$SZ*1($ctx) + mov $C,$SZ*2($ctx) + mov $D,$SZ*3($ctx) + mov $E,$SZ*4($ctx) + mov $F,$SZ*5($ctx) + mov $G,$SZ*6($ctx) + mov $H,$SZ*7($ctx) + + jbe .Loop_avx2 + +.Ldone_avx2: + vzeroupper +___ +$code.=<<___ if ($win64); + movaps -0xa0(%rbp),%xmm6 + movaps -0x90(%rbp),%xmm7 + movaps -0x80(%rbp),%xmm8 + movaps -0x70(%rbp),%xmm9 +___ +$code.=<<___ if ($win64 && $SZ>4); + movaps -0x60(%rbp),%xmm10 + movaps -0x50(%rbp),%xmm11 +___ +$code.=<<___; + mov -40(%rbp),%r15 + mov -32(%rbp),%r14 + mov -24(%rbp),%r13 + mov -16(%rbp),%r12 + mov -8(%rbp),%rbx + mov %rbp,%rsp +.cfi_def_cfa_register %rsp + pop %rbp +.cfi_pop %rbp +.cfi_epilogue + ret +.cfi_endproc +.size ${func}_avx2,.-${func}_avx2 +___ +}} +}}}}} + +sub sha256op38 { + my $instr = shift; + my %opcodelet = ( + "sha256rnds2" => 0xcb, + "sha256msg1" => 0xcc, + "sha256msg2" => 0xcd ); + + if (defined($opcodelet{$instr}) && @_[0] =~ /%xmm([0-7]),\s*%xmm([0-7])/) { + my @opcode=(0x0f,0x38); + push @opcode,$opcodelet{$instr}; + push @opcode,0xc0|($1&7)|(($2&7)<<3); # ModR/M + return ".byte\t".join(',',@opcode); + } else { + return $instr."\t".@_[0]; + } +} + +sub vsha512rnds2 { + my $instr = shift; + + if (@_[0] =~ /%xmm([0-9]+),\s*%ymm([0-9]+),\s*%ymm([0-9]+)/) { + my @opcode=(0xc4,0xe2,0x7f,0xcb); + @opcode[1] ^= (($1>>3)<<5)|(($3>>3)<<7); + @opcode[2] ^= $2<<3; + push @opcode,0xc0|($1&7)|(($3&7)<<3); # ModR/M + return ".byte\t".join(',',@opcode); + } else { + return $instr."\t".@_[0]; + } +} + +sub vsha512msg { + my $instr = shift; + my $op = shift; + + if (@_[0] =~ /%[xy]mm([0-9]+),\s*%ymm([0-9]+)/) { + my @opcode=(0xc4,0xe2,0x7f,0xcb+$op); + @opcode[1] ^= (($1>>3)<<5)|(($2>>3)<<7); + push @opcode,0xc0|($1&7)|(($2&7)<<3); # ModR/M + return ".byte\t".join(',',@opcode); + } else { + return $instr.$op."\t".@_[0]; + } +} + +foreach (split("\n",$code)) { + s/\`([^\`]*)\`/eval $1/geo; + s/%x#%[yz]/%x/go; + + s/\b(sha256[^\s]*)\s+(.*)/sha256op38($1,$2)/eo or + s/\b(vsha512msg)([12])\s+(.*)/vsha512msg($1,$2,$3)/eo or + s/\b(vsha512rnds2)\s+(.*)/vsha512rnds2($1,$2)/eo; + + print $_,"\n"; +} +close STDOUT; diff --git a/cbits/asm/x86_64-xlate.pl b/cbits/asm/x86_64-xlate.pl new file mode 100644 --- /dev/null +++ b/cbits/asm/x86_64-xlate.pl @@ -0,0 +1,1943 @@ +#!/usr/bin/env perl + +# Ascetic x86_64 AT&T to MASM/NASM assembler translator by @dot-asm. +# +# Why AT&T to MASM and not vice versa? Several reasons. Because AT&T +# format is way easier to parse. Because it's simpler to "gear" from +# Unix ABI to Windows one [see cross-reference "card" at the end of +# file]. Because Linux targets were available first... +# +# In addition the script also "distills" code suitable for GNU +# assembler, so that it can be compiled with more rigid assemblers, +# such as Solaris /usr/ccs/bin/as. +# +# This translator is not designed to convert *arbitrary* assembler +# code from AT&T format to MASM one. It's designed to convert just +# enough to provide for dual-ABI OpenSSL modules development... +# There *are* limitations and you might have to modify your assembler +# code or this script to achieve the desired result... +# +# Currently recognized limitations: +# +# - can't use multiple ops per line; +# +# Dual-ABI styling rules. +# +# 1. Adhere to Unix register and stack layout [see cross-reference +# ABI "card" at the end for explanation]. +# 2. Forget about "red zone," stick to more traditional blended +# stack frame allocation. If volatile storage is actually required +# that is. If not, just leave the stack as is. +# 3. Functions tagged with ".type name,@function" get crafted with +# unified Win64 prologue and epilogue automatically. If you want +# to take care of ABI differences yourself, tag functions as +# ".type name,@abi-omnipotent" instead. +# 4. To optimize the Win64 prologue you can specify number of input +# arguments as ".type name,@function,N." Keep in mind that if N is +# larger than 6, then you *have to* write "abi-omnipotent" code, +# because >6 cases can't be addressed with unified prologue. +# 5. Name local labels as .L*, do *not* use dynamic labels such as 1: +# (sorry about latter). +# 6. Don't use [or hand-code with .byte] "rep ret." "ret" mnemonic is +# required to identify the spots, where to inject Win64 epilogue! +# But on the pros, it's then prefixed with rep automatically:-) +# 7. Stick to explicit ip-relative addressing. If you have to use +# GOTPCREL addressing, stick to mov symbol@GOTPCREL(%rip),%r??. +# Both are recognized and translated to proper Win64 addressing +# modes. +# +# 8. In order to provide for structured exception handling unified +# Win64 prologue copies %rsp value to %rax. [Unless function is +# tagged with additional .type tag.] For further details see SEH +# paragraph at the end. +# 9. .init segment is allowed to contain calls to functions only. +# a. If function accepts more than 4 arguments *and* >4th argument +# is declared as non 64-bit value, do clear its upper part. + + +use strict; + +my $flavour = shift; +my $output = shift; +if ($flavour =~ /\./) { $output = $flavour; undef $flavour; } + +open STDOUT,">$output" || die "can't open $output: $!" + if (defined($output)); + +my $gas=1; $gas=0 if ($output =~ /\.asm$/); +my $elf=1; $elf=0 if (!$gas); +my $dwarf=$elf; +my $win64=0; +my $prefix=""; +my $decor=".L"; + +my $masmref=8 + 50727*2**-32; # 8.00.50727 shipped with VS2005 +my $masm=0; +my $PTR=" PTR"; + +my $nasmref=2.03; +my $nasm=0; + +if ($flavour eq "mingw64") { $gas=1; $elf=0; $win64=1; + $prefix=`echo __USER_LABEL_PREFIX__ | \${CC:-false} -E -P -`; + $prefix =~ s|\R$||; # Better chomp + } +elsif ($flavour eq "macosx") { $gas=1; $elf=0; $prefix="_"; $decor="L\$"; } +elsif ($flavour eq "masm") { $gas=0; $elf=0; $masm=$masmref; $win64=1; $decor="\$L\$"; } +elsif ($flavour eq "nasm") { $gas=0; $elf=0; $nasm=$nasmref; $win64=1; $decor="\$L\$"; $PTR=""; } +elsif (!$gas) +{ if ($ENV{ASM} =~ m/nasm/ && `nasm -v` =~ m/version ([0-9]+)\.([0-9]+)/i) + { $nasm = $1 + $2*0.01; $PTR=""; } + elsif (`ml64 2>&1` =~ m/Version ([0-9]+)\.([0-9]+)(\.([0-9]+))?/) + { $masm = $1 + $2*2**-16 + $4*2**-32; } + die "no assembler found on %PATH%" if (!($nasm || $masm)); + $win64=1; + $elf=0; + $decor="\$L\$"; +} +my $colon= $masm ? "::" : ":"; + +$dwarf=0 if($win64); + +my $current_segment; +my $current_function; +my %globals; + +{ package opcode; # pick up opcodes + sub re { + my ($class, $line) = @_; + my $self = {}; + my $ret; + + if ($$line =~ /^([a-z][a-z0-9]*)/i) { + bless $self,$class; + $self->{op} = $1; + $ret = $self; + $$line = substr($$line,@+[0]); $$line =~ s/^\s+//; + + undef $self->{sz}; + if ($self->{op} =~ /^(movz)x?([bw]).*/) { # movz is pain... + $self->{op} = $1; + $self->{sz} = $2; + } elsif ($self->{op} =~ /cmov[n]?[lb]$/) { + # pass through + } elsif ($self->{op} =~ /call|jmp/) { + $self->{sz} = ""; + } elsif ($self->{op} =~ /^p/ && $' !~ /^(ush|op|insrw)/) { # SSEn + $self->{sz} = ""; + } elsif ($self->{op} =~ /^[vk]/) { # VEX or k* such as kmov + $self->{sz} = ""; + } elsif ($self->{op} =~ /mov[dq]/ && $$line =~ /%xmm/) { + $self->{sz} = ""; + } elsif ($self->{op} =~ /([a-z]{3,})([qlwb])$/) { + $self->{op} = $1; + $self->{sz} = $2; + } + } + $ret; + } + sub size { + my ($self, $sz) = @_; + $self->{sz} = $sz if (defined($sz) && !defined($self->{sz})); + $self->{sz}; + } + sub out { + my $self = shift; + if ($gas) { + if ($self->{op} eq "movz") { # movz is pain... + sprintf "%s%s%s",$self->{op},$self->{sz},shift; + } elsif ($self->{op} =~ /^set/) { + "$self->{op}"; + } elsif ($self->{op} eq "ret") { + my $epilogue = ""; + if ($win64 && $current_function->{abi} eq "svr4" + && !$current_function->{unwind}) { + $epilogue = "movq 8(%rsp),%rdi\n\t" . + "movq 16(%rsp),%rsi\n\t"; + } + $epilogue . ".byte 0xf3,0xc3"; + } elsif ($self->{op} eq "call" && !$elf && $current_segment eq ".init") { + ".p2align\t3\n\t.quad"; + } else { + "$self->{op}$self->{sz}"; + } + } else { + $self->{op} =~ s/^movz/movzx/; + if ($self->{op} eq "ret") { + $self->{op} = ""; + if ($win64 && $current_function->{abi} eq "svr4" + && !$current_function->{unwind}) { + $self->{op} = "mov rdi,QWORD$PTR\[8+rsp\]\t;WIN64 epilogue\n\t". + "mov rsi,QWORD$PTR\[16+rsp\]\n\t"; + } + $self->{op} .= "DB\t0F3h,0C3h\t\t;repret"; + } elsif ($self->{op} =~ /^(pop|push)f/) { + $self->{op} .= $self->{sz}; + } elsif ($self->{op} eq "call" && $current_segment eq ".CRT\$XCU") { + $self->{op} = "\tDQ"; + } + $self->{op}; + } + } + sub mnemonic { + my ($self, $op) = @_; + $self->{op}=$op if (defined($op)); + $self->{op}; + } +} +{ package const; # pick up constants, which start with $ + sub re { + my ($class, $line) = @_; + my $self = {}; + my $ret; + + if ($$line =~ /^\$([^,]+)/) { + bless $self, $class; + $self->{value} = $1; + $ret = $self; + $$line = substr($$line,@+[0]); $$line =~ s/^\s+//; + } + $ret; + } + sub out { + my $self = shift; + + $self->{value} =~ s/\b(0b[0-1]+)/oct($1)/eig; + if ($gas) { + # Solaris /usr/ccs/bin/as can't handle multiplications + # in $self->{value} + my $value = $self->{value}; + no warnings; # oct might complain about overflow, ignore here... + $value =~ s/(?{value} = $value; + } + sprintf "\$%s",$self->{value}; + } else { + my $value = $self->{value}; + $value =~ s/0x([0-9a-f]+)/0$1h/ig if ($masm); + sprintf "%s",$value; + } + } +} +{ package ea; # pick up effective addresses: expr(%reg,%reg,scale) + + my %szmap = ( b=>"BYTE$PTR", w=>"WORD$PTR", + l=>"DWORD$PTR", d=>"DWORD$PTR", + q=>"QWORD$PTR", o=>"OWORD$PTR", + x=>"XMMWORD$PTR", y=>"YMMWORD$PTR", + z=>"ZMMWORD$PTR" ) if (!$gas); + + my %sifmap = ( ss=>"d", sd=>"q", # broadcast only + i32x2=>"q", f32x2=>"q", + i32x4=>"x", i64x2=>"x", i128=>"x", + f32x4=>"x", f64x2=>"x", f128=>"x", + i32x8=>"y", i64x4=>"y", + f32x8=>"y", f64x4=>"y" ) if (!$gas); + + sub re { + my ($class, $line, $opcode) = @_; + my $self = {}; + my $ret; + + # optional * ----vvv--- appears in indirect jmp/call + if ($$line =~ /^(\*?)([^\(,]*)\(([%\w,\s]+)\)((?:{[^}]+})*)/) { + bless $self, $class; + $self->{asterisk} = $1; + $self->{label} = $2; + ($self->{base},$self->{index},$self->{scale})=split(/(?:,\s*)/,$3); + $self->{scale} = 1 if (!defined($self->{scale})); + $self->{opmask} = $4; + $ret = $self; + $$line = substr($$line,@+[0]); $$line =~ s/^\s+//; + + if ($win64 && $self->{label} =~ s/\@GOTPCREL//) { + die if ($opcode->mnemonic() ne "mov"); + $opcode->mnemonic("lea"); + } + $self->{base} =~ s/^%//; + $self->{index} =~ s/^%// if (defined($self->{index})); + $self->{opcode} = $opcode; + } + $ret; + } + sub size {} + sub out { + my ($self, $sz) = @_; + + $self->{label} =~ s/([_a-z][_a-z0-9\$]*)/$globals{$1} or $1/gei; + $self->{label} =~ s/\.L/$decor/g; + + # Silently convert all EAs to 64-bit. This is required for + # elder GNU assembler and results in more compact code, + # *but* most importantly AES module depends on this feature! + $self->{index} =~ s/^[er](.?[0-9xpi])[d]?$/r\1/; + $self->{base} =~ s/^[er](.?[0-9xpi])[d]?$/r\1/; + + # Solaris /usr/ccs/bin/as can't handle multiplications + # in $self->{label}... + use integer; + $self->{label} =~ s/(?{label} =~ s/\b([0-9]+\s*[\*\/\%]\s*[0-9]+)\b/eval($1)/eg; + + # Some assemblers insist on signed presentation of 32-bit + # offsets, but sign extension is a tricky business in perl... + $self->{label} =~ s/\b([0-9]+)\b/unpack("l",pack("L",$1))/eg; + + # if base register is %rbp or %r13, see if it's possible to + # flip base and index registers [for better performance] + if (!$self->{label} && $self->{index} && $self->{scale}==1 && + $self->{base} =~ /(rbp|r13)/) { + $self->{base} = $self->{index}; $self->{index} = $1; + } + + if ($gas) { + $self->{label} =~ s/^___imp_/__imp__/ if ($flavour eq "mingw64"); + + if (defined($self->{index})) { + sprintf "%s%s(%s,%%%s,%d)%s", + $self->{asterisk},$self->{label}, + $self->{base}?"%$self->{base}":"", + $self->{index},$self->{scale}, + $self->{opmask}; + } else { + sprintf "%s%s(%%%s)%s", $self->{asterisk},$self->{label}, + $self->{base},$self->{opmask}; + } + } else { + $self->{label} =~ s/\./\$/g; + $self->{label} =~ s/(?{label} = "($self->{label})" if ($self->{label} =~ /[\*\+\-\/]/); + + my $mnemonic = $self->{opcode}->mnemonic(); + ($self->{asterisk}) && ($sz="q") || + ($mnemonic =~ /^v?mov([qd])$/) && ($sz=$1) || + ($mnemonic =~ /^v?pinsr([qdwb])$/) && ($sz=$1) || + ($mnemonic =~ /^vpbroadcast([qdwb])$/) && ($sz=$1) || + ($mnemonic =~ /^v(?:broadcast|extract|insert)([sif]\w+)$/) + && ($sz=$sifmap{$1}); + + $self->{opmask} =~ s/%(k[0-7])/$1/; + + if (defined($self->{index})) { + sprintf "%s[%s%s*%d%s]%s",$szmap{$sz}, + $self->{label}?"$self->{label}+":"", + $self->{index},$self->{scale}, + $self->{base}?"+$self->{base}":"", + $self->{opmask}; + } elsif ($self->{base} eq "rip") { + sprintf "%s[%s]",$szmap{$sz},$self->{label}; + } else { + sprintf "%s[%s%s]%s", $szmap{$sz}, + $self->{label}?"$self->{label}+":"", + $self->{base},$self->{opmask}; + } + } + } +} +{ package register; # pick up registers, which start with %. + sub re { + my ($class, $line, $opcode) = @_; + my $self = {}; + my $ret; + + # optional * ----vvv--- appears in indirect jmp/call + if ($$line =~ /^(\*?)%(\w+)((?:{[^}]+})*)/) { + bless $self,$class; + $self->{asterisk} = $1; + $self->{value} = $2; + $self->{opmask} = $3; + $opcode->size($self->size()); + $ret = $self; + $$line = substr($$line,@+[0]); $$line =~ s/^\s+//; + } + $ret; + } + sub size { + my $self = shift; + my $ret; + + if ($self->{value} =~ /^r[\d]+b$/i) { $ret="b"; } + elsif ($self->{value} =~ /^r[\d]+w$/i) { $ret="w"; } + elsif ($self->{value} =~ /^r[\d]+d$/i) { $ret="l"; } + elsif ($self->{value} =~ /^r[\w]+$/i) { $ret="q"; } + elsif ($self->{value} =~ /^[a-d][hl]$/i){ $ret="b"; } + elsif ($self->{value} =~ /^[\w]{2}l$/i) { $ret="b"; } + elsif ($self->{value} =~ /^[\w]{2}$/i) { $ret="w"; } + elsif ($self->{value} =~ /^e[a-z]{2}$/i){ $ret="l"; } + + $ret; + } + sub out { + my $self = shift; + if ($gas) { sprintf "%s%%%s%s", $self->{asterisk}, + $self->{value}, + $self->{opmask}; } + else { $self->{opmask} =~ s/%(k[0-7])/$1/; + $self->{value}.$self->{opmask}; } + } +} +{ package label; # pick up labels, which end with : + sub re { + my ($class, $line) = @_; + my $self = {}; + my $ret; + + if ($$line =~ /(^[\.\w\$]+)\:/) { + bless $self,$class; + $self->{value} = $1; + $ret = $self; + $$line = substr($$line,@+[0]); $$line =~ s/^\s+//; + + $self->{value} =~ s/^\.L/$decor/; + } + $ret; + } + sub win64_args { + my $narg = $current_function->{narg} // 6; + return undef if ($narg < 0); + my $arg5 = 4*8 - cfi_directive::cfa_rsp(); + my $arg6 = $arg5 + 8; + my $args; + if ($gas) { + $args .= " movq %rcx,%rdi\n" if ($narg>0); + $args .= " movq %rdx,%rsi\n" if ($narg>1); + $args .= " movq %r8,%rdx\n" if ($narg>2); + $args .= " movq %r9,%rcx\n" if ($narg>3); + $args .= " movq $arg5(%rsp),%r8\n" if ($narg>4); + $args .= " movq $arg6(%rsp),%r9\n" if ($narg>5); + } else { + $args .= " mov rdi,rcx\n" if ($narg>0); + $args .= " mov rsi,rdx\n" if ($narg>1); + $args .= " mov rdx,r8\n" if ($narg>2); + $args .= " mov rcx,r9\n" if ($narg>3); + $args .= " mov r8,QWORD$PTR\[$arg5+rsp\]\n" if ($narg>4); + $args .= " mov r9,QWORD$PTR\[$arg6+rsp\]\n" if ($narg>5); + } + $current_function->{narg} = -1; + $args; + } + sub out { + my $self = shift; + + if ($gas) { + my $func = ($globals{$self->{value}} or $self->{value}) . ":"; + if ($current_function->{name} eq $self->{value}) { + $current_function->{pc} = 0; + $func .= "\n.cfi_".cfi_directive::startproc() if ($dwarf); + $func .= "\n .byte 0xf3,0x0f,0x1e,0xfa\n"; # endbranch + if ($win64) { + if ($current_function->{abi} eq "svr4") { + my $fp = $current_function->{unwind} ? "%r11" : "%rax"; + $func .= " movq %rdi,8(%rsp)\n"; + $func .= " movq %rsi,16(%rsp)\n"; + $func .= " movq %rsp,$fp\n"; + $func .= "${decor}SEH_begin_$current_function->{name}:\n"; + } elsif ($current_function->{unwind}) { + $func .= " movq %rsp,%r11\n"; + $func .= "${decor}SEH_begin_$current_function->{name}:\n"; + } + } + } elsif ($win64 && $current_function->{abi} eq "svr4" + && $current_function->{pc} >= 0) { + $func = win64_args().$func; + } + $func; + } elsif ($self->{value} ne "$current_function->{name}") { + my $func; + if ($win64 && $current_function->{abi} eq "svr4" + && $current_function->{pc} >= 0) { + $func = win64_args(); + } + $func .= $self->{value} . $colon; + $func; + } else { + $current_function->{pc} = 0; + my $func = "$current_function->{name}" . + ($nasm ? ":" : "\tPROC $current_function->{scope}") . + "\n"; + $func .= " DB 243,15,30,250\n"; # endbranch + if ($current_function->{abi} eq "svr4") { + my $fp = $current_function->{unwind} ? "r11" : "rax"; + $func .= " mov QWORD$PTR\[8+rsp\],rdi\t;WIN64 prologue\n"; + $func .= " mov QWORD$PTR\[16+rsp\],rsi\n"; + $func .= " mov $fp,rsp\n"; + $func .= "${decor}SEH_begin_$current_function->{name}${colon}\n"; + } elsif ($current_function->{unwind}) { + $func .= " mov r11,rsp\n"; + $func .= "${decor}SEH_begin_$current_function->{name}${colon}\n"; + } + $func; + } + } +} +{ package expr; # pick up expressions + sub re { + my ($class, $line, $opcode) = @_; + my $self = {}; + my $ret; + + if ($$line =~ /(^[^,]+)/) { + bless $self,$class; + $self->{value} = $1; + $ret = $self; + $$line = substr($$line,@+[0]); $$line =~ s/^\s+//; + + $self->{value} =~ s/\@PLT// if (!$elf); + $self->{value} =~ s/([_a-z][_a-z0-9\$]*)/$globals{$1} or $1/gei; + $self->{value} =~ s/\.L/$decor/g; + $self->{opcode} = $opcode; + } + $ret; + } + sub out { + my $self = shift; + $self->{value}; + } +} + +my @xdata_seg = (".section .xdata", ".align 8"); +my @pdata_seg = (".section .pdata", ".align 4"); + +{ package cfi_directive; + # CFI directives annotate instructions that are significant for + # stack unwinding procedure compliant with DWARF specification, + # see http://dwarfstd.org/. Besides naturally expected for this + # script platform-specific filtering function, this module adds + # four auxiliary synthetic directives not recognized by [GNU] + # assembler: + # + # - .cfi_push to annotate push instructions in prologue, which + # translates to .cfi_adjust_cfa_offset (if needed) and + # .cfi_offset; + # - .cfi_pop to annotate pop instructions in epilogue, which + # translates to .cfi_adjust_cfa_offset (if needed) and + # .cfi_restore; + # - .cfi_alloca to annotate stack pointer adjustments, which + # translates to .cfi_adjust_cfa_offset as needed; + # - [and most notably] .cfi_cfa_expression which encodes + # DW_CFA_def_cfa_expression and passes it to .cfi_escape as + # byte vector; + # + # CFA expressions were introduced in DWARF specification version + # 3 and describe how to deduce CFA, Canonical Frame Address. This + # becomes handy if your stack frame is variable and you can't + # spare register for [previous] frame pointer. Suggested directive + # syntax is made-up mix of DWARF operator suffixes [subset of] + # and references to registers with optional bias. Following example + # describes offloaded *original* stack pointer at specific offset + # from *current* stack pointer: + # + # .cfi_cfa_expression %rsp+40,deref,+8 + # + # Final +8 has everything to do with the fact that CFA is defined + # as reference to top of caller's stack, and on x86_64 call to + # subroutine pushes 8-byte return address. In other words original + # stack pointer upon entry to a subroutine is 8 bytes off from CFA. + # + # In addition the .cfi directives are re-purposed even for Win64 + # stack unwinding. Two more synthetic directives were added: + # + # - .cfi_end_prologue to denote point when all non-volatile + # registers are saved and stack or [chosen] frame pointer is + # stable; + # - .cfi_epilogue to denote point when all non-volatile registers + # are restored [and it even adds missing .cfi_restore-s]; + # + # Though it's not universal "miracle cure," it has its limitations. + # Most notably .cfi_cfa_expression won't start working... For more + # information see the end of this file. + + # Below constants are taken from "DWARF Expressions" section of the + # DWARF specification, section is numbered 7.7 in versions 3 and 4. + my %DW_OP_simple = ( # no-arg operators, mapped directly + deref => 0x06, dup => 0x12, + drop => 0x13, over => 0x14, + pick => 0x15, swap => 0x16, + rot => 0x17, xderef => 0x18, + + abs => 0x19, and => 0x1a, + div => 0x1b, minus => 0x1c, + mod => 0x1d, mul => 0x1e, + neg => 0x1f, not => 0x20, + or => 0x21, plus => 0x22, + shl => 0x24, shr => 0x25, + shra => 0x26, xor => 0x27, + ); + + my %DW_OP_complex = ( # used in specific subroutines + constu => 0x10, # uleb128 + consts => 0x11, # sleb128 + plus_uconst => 0x23, # uleb128 + lit0 => 0x30, # add 0-31 to opcode + reg0 => 0x50, # add 0-31 to opcode + breg0 => 0x70, # add 0-31 to opcole, sleb128 + regx => 0x90, # uleb28 + fbreg => 0x91, # sleb128 + bregx => 0x92, # uleb128, sleb128 + piece => 0x93, # uleb128 + ); + + # Following constants are defined in x86_64 ABI supplement, for + # example available at https://www.uclibc.org/docs/psABI-x86_64.pdf, + # see section 3.7 "Stack Unwind Algorithm". + my %DW_reg_idx = ( + "%rax"=>0, "%rdx"=>1, "%rcx"=>2, "%rbx"=>3, + "%rsi"=>4, "%rdi"=>5, "%rbp"=>6, "%rsp"=>7, + "%r8" =>8, "%r9" =>9, "%r10"=>10, "%r11"=>11, + "%r12"=>12, "%r13"=>13, "%r14"=>14, "%r15"=>15 + ); + + my ($cfa_reg, $cfa_off, $cfa_rsp, %saved_regs); + my @cfa_stack; + + sub cfa_rsp { return $cfa_rsp // -8; } + + # [us]leb128 format is variable-length integer representation base + # 2^128, with most significant bit of each byte being 0 denoting + # *last* most significant digit. See "Variable Length Data" in the + # DWARF specification, numbered 7.6 at least in versions 3 and 4. + sub sleb128 { + use integer; # get right shift extend sign + + my $val = shift; + my $sign = ($val < 0) ? -1 : 0; + my @ret = (); + + while(1) { + push @ret, $val&0x7f; + + # see if remaining bits are same and equal to most + # significant bit of the current digit, if so, it's + # last digit... + last if (($val>>6) == $sign); + + @ret[-1] |= 0x80; + $val >>= 7; + } + + return @ret; + } + sub uleb128 { + my $val = shift; + my @ret = (); + + while(1) { + push @ret, $val&0x7f; + + # see if it's last significant digit... + last if (($val >>= 7) == 0); + + @ret[-1] |= 0x80; + } + + return @ret; + } + sub const { + my $val = shift; + + if ($val >= 0 && $val < 32) { + return ($DW_OP_complex{lit0}+$val); + } + return ($DW_OP_complex{consts}, sleb128($val)); + } + sub reg { + my $val = shift; + + return if ($val !~ m/^(%r\w+)(?:([\+\-])((?:0x)?[0-9a-f]+))?/); + + my $reg = $DW_reg_idx{$1}; + my $off = eval ("0 $2 $3"); + + return (($DW_OP_complex{breg0} + $reg), sleb128($off)); + # Yes, we use DW_OP_bregX+0 to push register value and not + # DW_OP_regX, because latter would require even DW_OP_piece, + # which would be a waste under the circumstances. If you have + # to use DWP_OP_reg, use "regx:N"... + } + sub cfa_expression { + my $line = shift; + my @ret; + + foreach my $token (split(/,\s*/,$line)) { + if ($token =~ /^%r/) { + push @ret,reg($token); + } elsif ($token =~ /((?:0x)?[0-9a-f]+)\((%r\w+)\)/) { + push @ret,reg("$2+$1"); + } elsif ($token =~ /(\w+):(\-?(?:0x)?[0-9a-f]+)(U?)/i) { + my $i = 1*eval($2); + push @ret,$DW_OP_complex{$1}, ($3 ? uleb128($i) : sleb128($i)); + } elsif (my $i = 1*eval($token) or $token eq "0") { + if ($token =~ /^\+/) { + push @ret,$DW_OP_complex{plus_uconst},uleb128($i); + } else { + push @ret,const($i); + } + } else { + push @ret,$DW_OP_simple{$token}; + } + } + + # Finally we return DW_CFA_def_cfa_expression, 15, followed by + # length of the expression and of course the expression itself. + return (15,scalar(@ret),@ret); + } + + # Following constants are defined in "x64 exception handling" at + # https://docs.microsoft.com/ and match the register sequence in + # CONTEXT structure defined in winnt.h. + my %WIN64_reg_idx = ( + "%rax"=>0, "%rcx"=>1, "%rdx"=>2, "%rbx"=>3, + "%rsp"=>4, "%rbp"=>5, "%rsi"=>6, "%rdi"=>7, + "%r8" =>8, "%r9" =>9, "%r10"=>10, "%r11"=>11, + "%r12"=>12, "%r13"=>13, "%r14"=>14, "%r15"=>15 + ); + sub xdata { + our @dat = (); + our $len = 0; + + sub savereg { + my ($key, $offset) = @_; + + if ($key =~ /%xmm([0-9]+)/) { + if ($offset < 0x100000) { + push @dat, [0,($1<<4)|8,unpack("C2",pack("v",$offset>>4))]; + } else { + push @dat, [0,($1<<4)|9,unpack("C4",pack("V",$offset))]; + } + } else { + if ($offset < 0x80000) { + push @dat, [0,(($WIN64_reg_idx{$key})<<4)|4, + unpack("C2",pack("v",$offset>>3))]; + } else { + push @dat, [0,(($WIN64_reg_idx{$key})<<4)|5, + unpack("C4",pack("V",$offset))]; + } + } + $len += $#{@dat[-1]}+1; + } + + my $fp_info = 0; + + # allocate stack frame + if ($cfa_rsp < -8) { + my $offset = -8 - $cfa_rsp; + if ($cfa_reg ne "%rsp" && $saved_regs{$cfa_reg} == -16) { + $fp_info = $WIN64_reg_idx{$cfa_reg}; + push @dat, [0,$fp_info<<4]; # UWOP_PUSH_NONVOL + $len += $#{@dat[-1]}+1; + $offset -= 8; + } + if ($offset <= 128) { + my $alloc = ($offset - 8) >> 3; + push @dat, [0,$alloc<<4|2]; # UWOP_ALLOC_SMALL + } elsif ($offset < 0x80000) { + push @dat, [0,0x01,unpack("C2",pack("v",$offset>>3))]; + } else { + push @dat, [0,0x11,unpack("C4",pack("V",$offset))]; + } + $len += $#{@dat[-1]}+1; + } + + # save frame pointer [if not pushed already] + if ($cfa_reg ne "%rsp" && $fp_info == 0) { + $fp_info = $WIN64_reg_idx{$cfa_reg}; + if (defined(my $offset = $saved_regs{$cfa_reg})) { + $offset -= $cfa_rsp; + savereg($cfa_reg, $offset); + } + } + + # set up frame pointer + if ($fp_info) { + push @dat, [0,($fp_info<<4)|3]; # UWOP_SET_FPREG + $len += $#{@dat[-1]}+1; + my $fp_off = $cfa_off - $cfa_rsp; + ($fp_off > 240 or $fp_off&0xf) and die "invalid FP offset $fp_off"; + $fp_info |= $fp_off&-16; + } + + # save registers + foreach my $key (sort { $saved_regs{$b} <=> $saved_regs{$a} } + keys(%saved_regs)) { + next if ($cfa_reg ne "%rsp" && $cfa_reg eq $key); + my $offset = $saved_regs{$key} - $cfa_rsp; + savereg($key, $offset); + } + + my @ret; + # generate 4-byte descriptor + push @ret, ".byte 1,0,".($len/2).",$fp_info"; + $len += 4; + # keep objdump happy, pad to 4*n and add a 32-bit zero + unshift @dat, [(0)x(((-$len)&3)+4)]; + $len += $#{@dat[0]}+1; + # pad to 8*n + unshift @dat, [(0)x((-$len)&7)] if ($len&7); + # emit data + while(defined(my $row = pop @dat)) { + push @ret, ".byte ". join(",", + map { sprintf "0x%02x",$_ } @{$row}); + } + + return @ret; + } + sub startproc { + return if ($cfa_rsp == -8); + ($cfa_reg, $cfa_off, $cfa_rsp) = ("%rsp", -8, -8); + %saved_regs = (); + return "startproc"; + } + sub endproc { + return if ($cfa_rsp == 0); + ($cfa_reg, $cfa_off, $cfa_rsp) = ("%rsp", 0, 0); + %saved_regs = (); + return "endproc"; + } + sub re { + my ($class, $line) = @_; + my $self = {}; + my $ret; + + if ($$line =~ s/^\s*\.cfi_(\w+)\s*//) { + bless $self,$class; + $ret = $self; + undef $self->{value}; + my $dir = $1; + + SWITCH: for ($dir) { + # What is $cfa_rsp? Effectively it's difference between %rsp + # value and current CFA, Canonical Frame Address, which is + # why it starts with -8. Recall that CFA is top of caller's + # stack... + /startproc/ && do { $dir = startproc(); last; }; + /endproc/ && do { $dir = endproc(); + # .cfi_remember_state directives that are not + # matched with .cfi_restore_state are + # unnecessary. + die "unpaired .cfi_remember_state" if (@cfa_stack); + last; + }; + /def_cfa_register/ + && do { $cfa_off = $cfa_rsp if ($cfa_reg eq "%rsp"); + $cfa_reg = $$line; + $cfa_rsp = $cfa_off if ($cfa_reg eq "%rsp"); + last; + }; + /def_cfa_offset/ + && do { $cfa_off = -1*eval($$line); + $cfa_rsp = $cfa_off if ($cfa_reg eq "%rsp"); + last; + }; + /adjust_cfa_offset/ + && do { my $val = 1*eval($$line); + $cfa_off -= $val; + if ($cfa_reg eq "%rsp") { + $cfa_rsp -= $val; + } + $$line = "$val"; + last; + }; + /alloca/ && do { $dir = undef; + my $val = 1*eval($$line); + $cfa_rsp -= $val; + if ($cfa_reg eq "%rsp") { + $cfa_off -= $val; + $dir = "adjust_cfa_offset"; + } + $$line = "$val"; + last; + }; + /def_cfa/ && do { if ($$line =~ /(%r\w+)\s*(?:,\s*(.+))?/) { + $cfa_reg = $1; + if ($cfa_reg eq "%rsp" && !defined($2)) { + $cfa_off = $cfa_rsp; + $$line .= ",".(-$cfa_rsp); + } else { + $cfa_off = -1*eval($2); + $cfa_rsp = $cfa_off if ($cfa_reg eq "%rsp"); + } + } + last; + }; + /push/ && do { $dir = undef; + $cfa_rsp -= 8; + if ($cfa_reg eq "%rsp") { + $cfa_off = $cfa_rsp; + $self->{value} = ".cfi_adjust_cfa_offset\t8\n"; + } + $saved_regs{$$line} = $cfa_rsp; + $self->{value} .= ".cfi_offset\t$$line,$cfa_rsp"; + last; + }; + /pop/ && do { $dir = undef; + $cfa_rsp += 8; + if ($cfa_reg eq "%rsp") { + $cfa_off = $cfa_rsp; + $self->{value} = ".cfi_adjust_cfa_offset\t-8\n"; + } + $self->{value} .= ".cfi_restore\t$$line"; + delete $saved_regs{$$line}; + last; + }; + /cfa_expression/ + && do { $dir = undef; + $self->{value} = ".cfi_escape\t" . + join(",", map(sprintf("0x%02x", $_), + cfa_expression($$line))); + last; + }; + /remember_state/ + && do { push @cfa_stack, + [$cfa_reg,$cfa_off,$cfa_rsp,%saved_regs]; + last; + }; + /restore_state/ + && do { ($cfa_reg,$cfa_off,$cfa_rsp,%saved_regs) + = @{pop @cfa_stack}; + last; + }; + /offset/ && do { if ($$line =~ /(%\w+)(?:-%xmm(\d+))?\s*,\s*(.+)/) { + my ($reg, $off, $xmmlast) = ($1, 1*eval($3), $2); + if ($reg !~ /%xmm(\d+)/) { + $saved_regs{$reg} = $off; + } else { + $dir = undef; + $xmmlast //= $1; + for (my $i=$1; $i<=$xmmlast; $i++) { + $saved_regs{"%xmm$i"} = $off; + $off += 16; + } + } + } + last; + }; + /restore/ && do { delete $saved_regs{$$line}; last; }; + /end_prologue/ + && do { $dir = undef; + $self->{win64} = ".endprolog"; + last; + }; + /epilogue/ && do { $dir = undef; + $self->{win64} = ".epilogue"; + $self->{value} = join("\n", + map { ".cfi_restore\t$_" } + sort keys(%saved_regs)); + %saved_regs = (); + last; + }; + } + + $self->{value} = ".cfi_$dir\t$$line" if ($dir); + + $$line = ""; + } + + return $ret; + } + sub out { + my $self = shift; + return $self->{value} if ($dwarf); + + if ($win64 and $current_function->{unwind} + and my $ret = $self->{win64}) { + my ($reg, $off) = ($cfa_reg =~ /%(?!rsp)/) ? ($', $cfa_off) + : ("rsp", $cfa_rsp); + my $fname = $current_function->{name}; + + if ($ret eq ".endprolog") { + $ret = ""; + if ($current_function->{abi} eq "svr4") { + $ret .= label::win64_args(); + $saved_regs{"%rdi"} = 0; # relative to CFA, remember? + $saved_regs{"%rsi"} = 8; + } + + push @pdata_seg, + ".rva .LSEH_begin_${fname}", + ".rva .LSEH_body_${fname}", + ".rva .LSEH_info_${fname}_prologue",""; + push @xdata_seg, + ".LSEH_info_${fname}_prologue:"; + if ($current_function->{unwind} eq "%rbp") { + if ($current_function->{abi} eq "svr4") { + push @xdata_seg, + ".byte 1,4,6,0x05", # 6 unwind codes, %rbp is FP + ".byte 4,0x74,2,0", # %rdi at 16(%rsp) + ".byte 4,0x64,3,0", # %rsi at 24(%rsp) + ".byte 4,0x53", # mov %rsp, %rbp + ".byte 1,0x50", # push %rbp + ".long 0,0" # pad to keep objdump happy + ; + } else { + push @xdata_seg, + ".byte 1,4,2,0x05", # 2 unwind codes, %rbp is FP + ".byte 4,0x53", # mov %rsp, %rbp + ".byte 1,0x50", # push %rbp + ".long 0,0" # pad to keep objdump happy + ; + } + } else { + if ($current_function->{abi} eq "svr4") { + push @xdata_seg, + ".byte 1,0,5,0x0b", # 5 unwind codes, %r11 is FP + ".byte 0,0x74,1,0", # %rdi at 8(%rsp) + ".byte 0,0x64,2,0", # %rsi at 16(%rsp) + ".byte 0,0xb3", # set frame pointer + ".byte 0,0", # padding + ".long 0,0" # pad to keep objdump happy + ; + } else { + push @xdata_seg, + ".byte 1,0,1,0x0b", # 1 unwind code, %r11 is FP + ".byte 0,0xb3", # set frame pointer + ".byte 0,0", # padding + ".long 0,0" # pad to keep objdump happy + ; + } + } + push @pdata_seg, + ".rva .LSEH_body_${fname}", + ".rva .LSEH_epilogue_${fname}", + ".rva .LSEH_info_${fname}_body",""; + push @xdata_seg,".LSEH_info_${fname}_body:", xdata(); + $ret .= "${decor}SEH_body_${fname}${colon}\n"; + } elsif ($ret eq ".epilogue") { + %saved_regs = (); + $cfa_rsp = $cfa_off; + $ret = "${decor}SEH_epilogue_${fname}${colon}\n"; + if ($current_function->{abi} eq "svr4") { + $saved_regs{"%rdi"} = 0; # relative to CFA, remember? + $saved_regs{"%rsi"} = 8; + + push @pdata_seg, + ".rva .LSEH_epilogue_${fname}", + ".rva .LSEH_end_${fname}", + ".rva .LSEH_info_${fname}_epilogue",""; + push @xdata_seg,".LSEH_info_${fname}_epilogue:", xdata(), ""; + if ($gas) { + $ret .= " mov ".(0-$off)."(%$reg),%rdi\n"; + $ret .= " mov ".(8-$off)."(%$reg),%rsi\n"; + } else { + $ret .= " mov rdi,QWORD$PTR\[".(0-$off)."+$reg\]"; + $ret .= " ;WIN64 epilogue\n"; + $ret .= " mov rsi,QWORD$PTR\[".(8-$off)."+$reg\]\n"; + } + } + } + return $ret; + } + return; + } +} +{ package directive; # pick up directives, which start with . + sub re { + my ($class, $line) = @_; + my $self = {}; + my $ret; + my $dir; + + # chain-call to cfi_directive + $ret = cfi_directive->re($line) and return $ret; + + if ($$line =~ /^\s*(\.\w+)/) { + bless $self,$class; + $dir = $1; + $ret = $self; + undef $self->{value}; + $$line = substr($$line,@+[0]); $$line =~ s/^\s+//; + + SWITCH: for ($dir) { + /\.global|\.globl|\.extern|\.comm/ + && do { $$line =~ s/([_a-z][_a-z0-9\$]*)/$prefix\1/gi; + $globals{$1} = $prefix.$1 if ($1); + last; + }; + /\.type/ && do { my ($sym,$type,$narg,$unwind) = split(',',$$line); + if ($type eq "\@function") { + undef $current_function; + $current_function->{name} = $sym; + $current_function->{abi} = "svr4"; + $current_function->{narg} = $narg; + $current_function->{scope} = defined($globals{$sym})?"PUBLIC":"PRIVATE"; + $current_function->{unwind} = $unwind; + $current_function->{pc} = -1; + } elsif ($type eq "\@abi-omnipotent") { + undef $current_function; + $current_function->{name} = $sym; + $current_function->{scope} = defined($globals{$sym})?"PUBLIC":"PRIVATE"; + $current_function->{unwind} = $unwind; + $current_function->{pc} = -1; + } + $$line =~ s/\@abi\-omnipotent/\@function/; + $$line =~ s/\@function.*/\@function/; + last; + }; + /\.asciz/ && do { if ($$line =~ /^"(.*)"$/) { + $dir = ".byte"; + $$line = join(",",unpack("C*",$1),0); + } + last; + }; + /\.rva|\.long|\.quad/ + && do { $$line =~ s/([_a-z][_a-z0-9\$]*)/$globals{$1} or $1/gei; + $$line =~ s/\.L/$decor/g; + last; + }; + } + + if ($gas) { + $self->{value} = $dir . "\t" . $$line; + + if ($dir =~ /\.extern/) { + $self->{value} = ""; # swallow extern + } elsif (!$elf && $dir =~ /\.type/) { + $self->{value} = ""; + $self->{value} = ".def\t" . ($globals{$1} or $1) . ";\t" . + (defined($globals{$1})?".scl 2;":".scl 3;") . + "\t.type 32;\t.endef" + if ($win64 && $$line =~ /([^,]+),\@function/); + } elsif ($dir =~ /\.size/) { + $self->{value} = "" if (!$elf); + if ($dwarf and my $endproc = cfi_directive::endproc()) { + $self->{value} = ".cfi_$endproc\n$self->{value}"; + } elsif (!$elf && defined($current_function)) { + $self->{value} .= "${decor}SEH_end_$current_function->{name}:" + if ($win64 && $current_function->{abi} eq "svr4"); + undef $current_function; + } + } elsif (!$elf && $dir =~ /\.align/) { + $self->{value} = ".p2align\t" . (log($$line)/log(2)); + } elsif ($dir eq ".section") { + $current_segment=$$line; + if (!$elf && $current_segment eq ".init") { + if ($flavour eq "macosx") { $self->{value} = ".mod_init_func"; } + elsif ($flavour eq "mingw64") { $self->{value} = ".section\t.ctors"; } + } + if (!$elf && $current_segment eq ".rodata") { + if ($flavour eq "macosx") { $self->{value} = ".section\t__TEXT,__const"; } + elsif ($flavour eq "mingw64") { $self->{value} = ".section\t.rdata"; } + } + } elsif ($dir =~ /\.(text|data)/) { + $current_segment=".$1"; + } elsif ($dir =~ /\.hidden/) { + if ($flavour eq "macosx") { $self->{value} = ".private_extern\t$prefix$$line"; } + elsif ($flavour eq "mingw64") { $self->{value} = ""; } + } elsif ($dir =~ /\.comm/) { + $self->{value} = "$dir\t$$line"; + $self->{value} =~ s|,([0-9]+),([0-9]+)$|",$1,".log($2)/log(2)|e if ($flavour eq "macosx"); + } + $$line = ""; + return $self; + } + + # non-gas case or nasm/masm + SWITCH: for ($dir) { + /\.text/ && do { my $v=undef; + if ($nasm) { + $v="section .text code align=64\n"; + } else { + $v="$current_segment\tENDS\n" if ($current_segment); + $current_segment = ".text\$"; + $v.="$current_segment\tSEGMENT "; + $v.=$masm>=$masmref ? "ALIGN(256)" : "PAGE"; + $v.=" 'CODE'"; + } + $self->{value} = $v; + last; + }; + /\.data/ && do { my $v=undef; + if ($nasm) { + $v="section .data data align=8\n"; + } else { + $v="$current_segment\tENDS\n" if ($current_segment); + $current_segment = "_DATA"; + $v.="$current_segment\tSEGMENT"; + } + $self->{value} = $v; + last; + }; + /\.section/ && do { my $v=undef; + $$line =~ s/([^,]*).*/$1/; + $$line = ".CRT\$XCU" if ($$line eq ".init"); + $$line = ".rdata" if ($$line eq ".rodata"); + my %align = ( p=>4, x=>8, r=>256); + if ($nasm) { + $v="section $$line"; + if ($$line=~/\.([pxr])data/) { + $v.=" rdata align=$align{$1}"; + } elsif ($$line=~/\.CRT\$/i) { + $v.=" rdata align=8"; + } + } else { + $v="$current_segment\tENDS\n" if ($current_segment); + $v.="$$line\tSEGMENT"; + if ($$line=~/\.([pxr])data/) { + $v.=" READONLY"; + $v.=" ALIGN($align{$1})" if ($masm>=$masmref); + } elsif ($$line=~/\.CRT\$/i) { + $v.=" READONLY "; + $v.=$masm>=$masmref ? "ALIGN(8)" : "DWORD"; + } + } + $current_segment = $$line; + $self->{value} = $v; + last; + }; + /\.extern/ && do { $self->{value} = "EXTERN\t".$$line; + $self->{value} .= ":NEAR" if ($masm); + last; + }; + /\.globl|.global/ + && do { $self->{value} = $masm?"PUBLIC":"global"; + $self->{value} .= "\t".$$line; + last; + }; + /\.size/ && do { if (defined($current_function)) { + undef $self->{value}; + if ($current_function->{abi} eq "svr4") { + $self->{value}="${decor}SEH_end_$current_function->{name}${colon}\n"; + } + $self->{value}.="$current_function->{name}\tENDP" if($masm && $current_function->{name}); + undef $current_function; + } + last; + }; + /\.align/ && do { my $max = ($masm && $masm>=$masmref) ? 256 : 4096; + $self->{value} = "ALIGN\t".($$line>$max?$max:$$line); + last; + }; + /\.(value|long|rva|quad)/ + && do { my $sz = substr($1,0,1); + my @arr = split(/,\s*/,$$line); + my $last = pop(@arr); + my $conv = sub { my $var=shift; + $var=~s/^(0b[0-1]+)/oct($1)/eig; + $var=~s/^0x([0-9a-f]+)/0$1h/ig if ($masm); + if ($sz eq "D" && ($current_segment=~/.[px]data/ || $dir eq ".rva")) + { $var=~s/^([_a-z\$\@][_a-z0-9\$\@]*)/$nasm?"$1 wrt ..imagebase":"imagerel $1"/egi; } + $var; + }; + + $sz =~ tr/bvlrq/BWDDQ/; + $self->{value} = "\tD$sz\t"; + for (@arr) { $self->{value} .= &$conv($_).","; } + $self->{value} .= &$conv($last); + last; + }; + /\.byte/ && do { my @str=split(/,\s*/,$$line); + map(s/(0b[0-1]+)/oct($1)/eig,@str); + map(s/0x([0-9a-f]+)/0$1h/ig,@str) if ($masm); + while ($#str>15) { + $self->{value}.="DB\t" + .join(",",@str[0..15])."\n"; + foreach (0..15) { shift @str; } + } + $self->{value}.="DB\t" + .join(",",@str) if (@str); + last; + }; + /\.comm/ && do { my @str=split(/,\s*/,$$line); + my $v=undef; + if ($nasm) { + $v.="common $prefix@str[0] @str[1]"; + } else { + $v="$current_segment\tENDS\n" if ($current_segment); + $current_segment = "_DATA"; + $v.="$current_segment\tSEGMENT\n"; + $v.="COMM @str[0]:DWORD:".@str[1]/4; + } + $self->{value} = $v; + last; + }; + } + $$line = ""; + } + + $ret; + } + sub out { + my $self = shift; + $self->{value}; + } +} + +# Upon initial x86_64 introduction SSE>2 extensions were not introduced +# yet. In order not to be bothered by tracing exact assembler versions, +# but at the same time to provide a bare security minimum of AES-NI, we +# hard-code some instructions. Extensions past AES-NI on the other hand +# are traced by examining assembler version in individual perlasm +# modules... + +my %regrm = ( "%eax"=>0, "%ecx"=>1, "%edx"=>2, "%ebx"=>3, + "%esp"=>4, "%ebp"=>5, "%esi"=>6, "%edi"=>7 ); + +sub rex { + my $opcode=shift; + my ($dst,$src,$rex)=@_; + + $rex|=0x04 if($dst>=8); + $rex|=0x01 if($src>=8); + push @$opcode,($rex|0x40) if ($rex); +} + +my $movq = sub { # elderly gas can't handle inter-register movq + my $arg = shift; + my @opcode=(0x66); + if ($arg =~ /%xmm([0-9]+),\s*%r(\w+)/) { + my ($src,$dst)=($1,$2); + if ($dst !~ /[0-9]+/) { $dst = $regrm{"%e$dst"}; } + rex(\@opcode,$src,$dst,0x8); + push @opcode,0x0f,0x7e; + push @opcode,0xc0|(($src&7)<<3)|($dst&7); # ModR/M + @opcode; + } elsif ($arg =~ /%r(\w+),\s*%xmm([0-9]+)/) { + my ($src,$dst)=($2,$1); + if ($dst !~ /[0-9]+/) { $dst = $regrm{"%e$dst"}; } + rex(\@opcode,$src,$dst,0x8); + push @opcode,0x0f,0x6e; + push @opcode,0xc0|(($src&7)<<3)|($dst&7); # ModR/M + @opcode; + } else { + (); + } +}; + +my $pextrd = sub { + if (shift =~ /\$([0-9]+),\s*%xmm([0-9]+),\s*(%\w+)/) { + my @opcode=(0x66); + my $imm=$1; + my $src=$2; + my $dst=$3; + if ($dst =~ /%r([0-9]+)d/) { $dst = $1; } + elsif ($dst =~ /%e/) { $dst = $regrm{$dst}; } + rex(\@opcode,$src,$dst); + push @opcode,0x0f,0x3a,0x16; + push @opcode,0xc0|(($src&7)<<3)|($dst&7); # ModR/M + push @opcode,$imm; + @opcode; + } else { + (); + } +}; + +my $pinsrd = sub { + if (shift =~ /\$([0-9]+),\s*(%\w+),\s*%xmm([0-9]+)/) { + my @opcode=(0x66); + my $imm=$1; + my $src=$2; + my $dst=$3; + if ($src =~ /%r([0-9]+)/) { $src = $1; } + elsif ($src =~ /%e/) { $src = $regrm{$src}; } + rex(\@opcode,$dst,$src); + push @opcode,0x0f,0x3a,0x22; + push @opcode,0xc0|(($dst&7)<<3)|($src&7); # ModR/M + push @opcode,$imm; + @opcode; + } else { + (); + } +}; + +my $pshufb = sub { + if (shift =~ /%xmm([0-9]+),\s*%xmm([0-9]+)/) { + my @opcode=(0x66); + rex(\@opcode,$2,$1); + push @opcode,0x0f,0x38,0x00; + push @opcode,0xc0|($1&7)|(($2&7)<<3); # ModR/M + @opcode; + } else { + (); + } +}; + +my $palignr = sub { + if (shift =~ /\$([0-9]+),\s*%xmm([0-9]+),\s*%xmm([0-9]+)/) { + my @opcode=(0x66); + rex(\@opcode,$3,$2); + push @opcode,0x0f,0x3a,0x0f; + push @opcode,0xc0|($2&7)|(($3&7)<<3); # ModR/M + push @opcode,$1; + @opcode; + } else { + (); + } +}; + +my $pclmulqdq = sub { + if (shift =~ /\$([x0-9a-f]+),\s*%xmm([0-9]+),\s*%xmm([0-9]+)/) { + my @opcode=(0x66); + rex(\@opcode,$3,$2); + push @opcode,0x0f,0x3a,0x44; + push @opcode,0xc0|($2&7)|(($3&7)<<3); # ModR/M + my $c=$1; + push @opcode,$c=~/^0/?oct($c):$c; + @opcode; + } else { + (); + } +}; + +my $rdrand = sub { + if (shift =~ /%[er](\w+)/) { + my @opcode=(); + my $dst=$1; + if ($dst !~ /[0-9]+/) { $dst = $regrm{"%e$dst"}; } + rex(\@opcode,0,$dst,8); + push @opcode,0x0f,0xc7,0xf0|($dst&7); + @opcode; + } else { + (); + } +}; + +my $rdseed = sub { + if (shift =~ /%[er](\w+)/) { + my @opcode=(); + my $dst=$1; + if ($dst !~ /[0-9]+/) { $dst = $regrm{"%e$dst"}; } + rex(\@opcode,0,$dst,8); + push @opcode,0x0f,0xc7,0xf8|($dst&7); + @opcode; + } else { + (); + } +}; + +# Not all AVX-capable assemblers recognize AMD XOP extension. Since we +# are using only two instructions hand-code them in order to be excused +# from chasing assembler versions... + +sub rxb { + my $opcode=shift; + my ($dst,$src1,$src2,$rxb)=@_; + + $rxb|=0x7<<5; + $rxb&=~(0x04<<5) if($dst>=8); + $rxb&=~(0x01<<5) if($src1>=8); + $rxb&=~(0x02<<5) if($src2>=8); + push @$opcode,$rxb; +} + +my $vprotd = sub { + if (shift =~ /\$([x0-9a-f]+),\s*%xmm([0-9]+),\s*%xmm([0-9]+)/) { + my @opcode=(0x8f); + rxb(\@opcode,$3,$2,-1,0x08); + push @opcode,0x78,0xc2; + push @opcode,0xc0|($2&7)|(($3&7)<<3); # ModR/M + my $c=$1; + push @opcode,$c=~/^0/?oct($c):$c; + @opcode; + } else { + (); + } +}; + +my $vprotq = sub { + if (shift =~ /\$([x0-9a-f]+),\s*%xmm([0-9]+),\s*%xmm([0-9]+)/) { + my @opcode=(0x8f); + rxb(\@opcode,$3,$2,-1,0x08); + push @opcode,0x78,0xc3; + push @opcode,0xc0|($2&7)|(($3&7)<<3); # ModR/M + my $c=$1; + push @opcode,$c=~/^0/?oct($c):$c; + @opcode; + } else { + (); + } +}; + +# Intel Control-flow Enforcement Technology extension. All functions and +# indirect branch targets will have to start with this instruction... +# However, it should not be used in functions' prologues explicitly, as +# it's added automatically [and in the right spot]. Which leaves only +# non-function indirect branch targets, such as in a case-like dispatch +# table, as application area. + +my $endbr64 = sub { + (0xf3,0x0f,0x1e,0xfa); +}; + +######################################################################## + +my $preproc_prefix = "#"; + +if ($nasm) { + $preproc_prefix = "%"; + print <<___; +default rel +%define XMMWORD +%define YMMWORD +%define ZMMWORD +___ +} elsif ($masm) { + $preproc_prefix = ""; + print <<___; +OPTION DOTNAME +___ +} + +sub process { + my $line = shift; + + $line =~ s|\R$||; # Better chomp + + if ($line =~ m/^#\s*(if|elif|else|endif)(.*)/) { # pass through preproc + if ($win64 && $current_function->{abi} eq "svr4" + && $current_function->{narg} >= 0) { + print label::win64_args(); + } + print $preproc_prefix,$1,$2,"\n"; + next; + } + + print $1 if ($line =~ s|(\{\w+\})||); + + $line =~ s|[#!].*$||; # get rid of asm-style comments... + $line =~ s|/\*.*\*/||; # ... and C-style comments... + $line =~ s|^\s+||; # ... and skip white spaces in beginning + $line =~ s|\s+$||; # ... and at the end + + if (my $label=label->re(\$line)) { print $label->out(); } + + if (my $directive=directive->re(\$line)) { + printf "%s",$directive->out(); + } elsif (my $opcode=opcode->re(\$line)) { + my $asm = eval("\$".$opcode->mnemonic()); + + if ((ref($asm) eq 'CODE') && scalar(my @bytes=&$asm($line))) { + print $gas?".byte\t":"DB\t",join(',',@bytes),"\n"; + next; + } + + my @args; + ARGUMENT: while (1) { + my $arg; + + ($arg=register->re(\$line, $opcode))|| + ($arg=const->re(\$line)) || + ($arg=ea->re(\$line, $opcode)) || + ($arg=expr->re(\$line, $opcode)) || + last ARGUMENT; + + push @args,$arg; + + last ARGUMENT if ($line !~ /^,/); + + $line =~ s/^,\s*//; + } # ARGUMENT: + + if ($win64 && $current_function->{abi} eq "svr4" + && $current_function->{narg} >= 0) { + my $pc = $current_function->{pc}; + my $op = $opcode->{op}; + my $a0 = @args[0]->{value} if ($#args>=0); + if (!$current_function->{unwind} + || $pc == 0 && !($op eq "push" && $a0 eq "rbp") + || $pc == 1 && !($op eq "mov" && $a0 eq "rsp" + && @args[1]->{value} eq "rbp" + && ($current_function->{unwind} = "%rbp")) + || $pc > 1) { + print label::win64_args(); + } + } + + if ($#args>=0) { + my $insn; + my $sz=$opcode->size(); + + if ($gas) { + $insn = $opcode->out($#args>=1?$args[$#args]->size():$sz); + @args = map($_->out($sz),@args); + printf "\t%s\t%s",$insn,join(",",@args); + } else { + $insn = $opcode->out(); + foreach (@args) { + my $arg = $_->out(); + # $insn.=$sz compensates for movq, pinsrw, ... + if ($arg =~ /^xmm[0-9]+$/) { $insn.=$sz; $sz="x" if(!$sz); last; } + if ($arg =~ /^ymm[0-9]+$/) { $insn.=$sz; $sz="y" if(!$sz); last; } + if ($arg =~ /^zmm[0-9]+$/) { $insn.=$sz; $sz="z" if(!$sz); last; } + if ($arg =~ /^mm[0-9]+$/) { $insn.=$sz; $sz="q" if(!$sz); last; } + } + @args = reverse(@args); + undef $sz if ($nasm && $opcode->mnemonic() eq "lea"); + printf "\t%s\t%s",$insn,join(",",map($_->out($sz),@args)); + } + } else { + printf "\t%s",$opcode->out(); + } + + ++$current_function->{pc} if (defined($current_function)); + } + + print $line,"\n"; +} + +while(<>) { process($_); } + +map { process($_) } @pdata_seg if ($win64 && $#pdata_seg>1); +map { process($_) } @xdata_seg if ($win64 && $#xdata_seg>1); + +# platform-specific epilogue +if ($masm) { + print "\n$current_segment\tENDS\n" if ($current_segment); + print "END\n"; +} elsif ($elf) { + # -fcf-protection segment, snatched from compiler -S output + my $align = ($flavour =~ /elf32/) ? 4 : 8; + print <<___; + +.section .note.gnu.property,"a",\@note + .long 4,2f-1f,5 + .byte 0x47,0x4E,0x55,0 +1: .long 0xc0000002,4,3 +.align $align +2: +___ +} + +close STDOUT; + + ################################################# +# Cross-reference x86_64 ABI "card" +# +# Unix Win64 +# %rax * * +# %rbx - - +# %rcx #4 #1 +# %rdx #3 #2 +# %rsi #2 - +# %rdi #1 - +# %rbp - - +# %rsp - - +# %r8 #5 #3 +# %r9 #6 #4 +# %r10 * * +# %r11 * * +# %r12 - - +# %r13 - - +# %r14 - - +# %r15 - - +# +# (*) volatile register +# (-) preserved by callee +# (#) Nth argument, volatile +# +# In Unix terms top of stack is argument transfer area for arguments +# which could not be accommodated in registers. Or in other words 7th +# [integer] argument resides at 8(%rsp) upon function entry point. +# 128 bytes above %rsp constitute a "red zone" which is not touched +# by signal handlers and can be used as temporal storage without +# allocating a frame. +# +# In Win64 terms N*8 bytes on top of stack is argument transfer area, +# which belongs to/can be overwritten by callee. N is the number of +# arguments passed to callee, *but* not less than 4! This means that +# upon function entry point 5th argument resides at 40(%rsp), as well +# as that 32 bytes from 8(%rsp) can always be used as temporal +# storage [without allocating a frame]. One can actually argue that +# one can assume a "red zone" above stack pointer under Win64 as well. +# Point is that at apparently no occasion Windows kernel would alter +# the area above user stack pointer in true asynchronous manner... +# +# All the above means that if assembler programmer adheres to Unix +# register and stack layout, but disregards the "red zone" existence, +# it's possible to use following prologue and epilogue to "gear" from +# Unix to Win64 ABI in leaf functions with not more than 6 arguments. +# +# omnipotent_function: +# ifdef WIN64 +# movq %rdi,8(%rsp) +# movq %rsi,16(%rsp) +# movq %rcx,%rdi ; if 1st argument is actually present +# movq %rdx,%rsi ; if 2nd argument is actually ... +# movq %r8,%rdx ; if 3rd argument is ... +# movq %r9,%rcx ; if 4th argument ... +# movq 40(%rsp),%r8 ; if 5th ... +# movq 48(%rsp),%r9 ; if 6th ... +# endif +# ... +# ifdef WIN64 +# movq 8(%rsp),%rdi +# movq 16(%rsp),%rsi +# endif +# ret +# + ################################################# +# Win64 SEH, Structured Exception Handling. +# +# Unlike on Unix systems(*) lack of Win64 stack unwinding information +# has undesired side-effect at run-time: if an exception is raised in +# assembler subroutine such as those in question (basically we're +# referring to segmentation violations caused by malformed input +# parameters), the application is briskly terminated without invoking +# any exception handlers, most notably without generating memory dump +# or any user notification whatsoever. This poses a problem. It's +# possible to address it by registering custom language-specific +# handler that would restore processor context to the state at +# subroutine entry point and return "exception is not handled, keep +# unwinding" code. Writing such handler can be a challenge... But it's +# doable, though requires certain coding convention. Consider following +# snippet: +# +# .type function,@function +# function: +# movq %rsp,%rax # copy rsp to volatile register +# pushq %r15 # save non-volatile registers +# pushq %rbx +# pushq %rbp +# movq %rsp,%r11 +# subq %rdi,%r11 # prepare [variable] stack frame +# andq $-64,%r11 +# movq %rax,0(%r11) # check for exceptions +# movq %r11,%rsp # allocate [variable] stack frame +# movq %rax,0(%rsp) # save original rsp value +# magic_point: +# ... +# movq 0(%rsp),%rcx # pull original rsp value +# movq -24(%rcx),%rbp # restore non-volatile registers +# movq -16(%rcx),%rbx +# movq -8(%rcx),%r15 +# movq %rcx,%rsp # restore original rsp +# magic_epilogue: +# ret +# .size function,.-function +# +# The key is that up to magic_point copy of original rsp value remains +# in chosen volatile register and no non-volatile register, except for +# rsp, is modified. While past magic_point rsp remains constant till +# the very end of the function. In this case custom language-specific +# exception handler would look like this: +# +# EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame, +# CONTEXT *context,DISPATCHER_CONTEXT *disp) +# { ULONG64 *rsp = (ULONG64 *)context->Rax; +# ULONG64 rip = context->Rip; +# +# if (rip >= magic_point) +# { rsp = (ULONG64 *)context->Rsp; +# if (rip < magic_epilogue) +# { rsp = (ULONG64 *)rsp[0]; +# context->Rbp = rsp[-3]; +# context->Rbx = rsp[-2]; +# context->R15 = rsp[-1]; +# } +# } +# context->Rsp = (ULONG64)rsp; +# context->Rdi = rsp[1]; +# context->Rsi = rsp[2]; +# +# memcpy (disp->ContextRecord,context,sizeof(CONTEXT)); +# RtlVirtualUnwind(UNW_FLAG_NHANDLER,disp->ImageBase, +# dips->ControlPc,disp->FunctionEntry,disp->ContextRecord, +# &disp->HandlerData,&disp->EstablisherFrame,NULL); +# return ExceptionContinueSearch; +# } +# +# It's appropriate to implement this handler in assembler, directly in +# function's module. In order to do that one has to know members' +# offsets in CONTEXT and DISPATCHER_CONTEXT structures and some constant +# values. Here they are: +# +# CONTEXT.Rax 120 +# CONTEXT.Rcx 128 +# CONTEXT.Rdx 136 +# CONTEXT.Rbx 144 +# CONTEXT.Rsp 152 +# CONTEXT.Rbp 160 +# CONTEXT.Rsi 168 +# CONTEXT.Rdi 176 +# CONTEXT.R8 184 +# CONTEXT.R9 192 +# CONTEXT.R10 200 +# CONTEXT.R11 208 +# CONTEXT.R12 216 +# CONTEXT.R13 224 +# CONTEXT.R14 232 +# CONTEXT.R15 240 +# CONTEXT.Rip 248 +# CONTEXT.Xmm6 512 +# sizeof(CONTEXT) 1232 +# DISPATCHER_CONTEXT.ControlPc 0 +# DISPATCHER_CONTEXT.ImageBase 8 +# DISPATCHER_CONTEXT.FunctionEntry 16 +# DISPATCHER_CONTEXT.EstablisherFrame 24 +# DISPATCHER_CONTEXT.TargetIp 32 +# DISPATCHER_CONTEXT.ContextRecord 40 +# DISPATCHER_CONTEXT.LanguageHandler 48 +# DISPATCHER_CONTEXT.HandlerData 56 +# UNW_FLAG_NHANDLER 0 +# ExceptionContinueSearch 1 +# +# In order to tie the handler to the function one has to compose +# couple of structures: one for .xdata segment and one for .pdata. +# +# UNWIND_INFO structure for .xdata segment would be +# +# function_unwind_info: +# .byte 9,0,0,0 +# .rva handler +# +# This structure designates exception handler for a function with +# zero-length prologue, no stack frame or frame register. +# +# To facilitate composing of .pdata structures, auto-generated "gear" +# prologue copies rsp value to rax and denotes next instruction with +# .LSEH_begin_{function_name} label. This essentially defines the SEH +# styling rule mentioned in the beginning. Position of this label is +# chosen in such manner that possible exceptions raised in the "gear" +# prologue would be accounted to caller and unwound from latter's frame. +# End of function is marked with respective .LSEH_end_{function_name} +# label. To summarize, .pdata segment would contain +# +# .rva .LSEH_begin_function +# .rva .LSEH_end_function +# .rva function_unwind_info +# +# Reference to function_unwind_info from .xdata segment is the anchor. +# In case you wonder why references are 32-bit .rvas and not 64-bit +# .quads. References put into these two segments are required to be +# *relative* to the base address of the current binary module, a.k.a. +# image base. No Win64 module, be it .exe or .dll, can be larger than +# 2GB and thus such relative references can be and are accommodated in +# 32 bits. +# +# Having reviewed the example function code, one can argue that "movq +# %rsp,%rax" above is redundant. It is not! Keep in mind that on Unix +# rax would contain an undefined value. If this "offends" you, use +# another register and refrain from modifying rax till magic_point is +# reached, i.e. as if it was a non-volatile register. If more registers +# are required prior [variable] frame setup is completed, note that +# nobody says that you can have only one "magic point." You can +# "liberate" non-volatile registers by denoting last stack off-load +# instruction and reflecting it in finer grade unwind logic in handler. +# After all, isn't it why it's called *language-specific* handler... +# +# SE handlers are also involved in unwinding stack when executable is +# profiled or debugged. Profiling implies additional limitations that +# are too subtle to discuss here. For now it's sufficient to say that +# in order to simplify handlers one should either a) offload original +# %rsp to stack (like discussed above); or b) if you have a register to +# spare for frame pointer, choose volatile one. +# +# (*) Note that we're talking about run-time, not debug-time. Lack of +# unwind information makes debugging hard on both Windows and +# Unix. "Unlike" refers to the fact that on Unix signal handler +# will always be invoked, core dumped and appropriate exit code +# returned to parent (for user notification). +# +######################################################################## +# As of May 2020 an alternative approach that works with both exceptions +# and debugging/profiling was implemented by re-purposing DWARF .cfi +# annotations even for Win64 unwind tables' generation. Unfortunately, +# but not really unexpectedly, it imposes additional limitations on +# coding style. Probably the most significant limitation is that the +# frame pointer has to be at 16*n distance from the stack pointer at the +# exit from prologue. But first things first. There are two additional +# synthetic .cfi directives, .cfi_end_prologue and .cfi_epilogue, +# that need to be added to all functions marked with additional .type +# tag (see example below). There are "do's and don'ts" for prologue +# and epilogue. It shouldn't come as a surprise that in prologue one may +# not modify non-volatile registers, but one may not modify %r11 either. +# This is because it's used as a temporary frame pointer(*). There are +# two exceptions to this rule. 1) One can set up a non-volatile register +# or %r11 as a frame pointer, but it must be last instruction in the +# prologue. 2) One can use 'push %rbp' as first instruction immediately +# followed by 'mov %rsp,%rbp' to use %rbp as "legacy" frame pointer. +# Constraints for epilogue, or rather on its boundary, depend on whether +# the frame is fixed- or variable-length. In fixed-frame subroutine +# stack pointer has to be restored in the last instruction prior to the +# .cfi_epilogue directive. If it's a variable-frame subroutine, and a +# non-volatile register was used as a frame pointer, then the last +# instruction prior to the directive has to restore its original value. +# This means that final stack pointer adjustment would have to be +# pushed past the directive. Normally this would render the epilogue +# non-unwindable, so special care has to be taken. To resolve the +# dilemma, copy the frame pointer to a volatile register in advance. +# To give an example: +# +# .type rbp_as_frame_pointer,\@function,3,"unwind" # mind extra tag! +# rbp_as_frame_pointer: +# .cfi_startproc +# push %rbp +# .cfi_push %rbp +# push %rbx +# .cfi_push %rbx +# mov %rsp,%rbp # last instruction in prologue +# .cfi_def_cfa_register %rbp # %rsp-%rbp has to be 16*n, e.g. 16*0 +# .cfi_end_prologue +# sub \$40,%rsp +# and \$-64,%rsp +# ... +# mov %rbp,%r11 +# .cfi_def_cfa_register %r11 # copy frame pointer to volatile %r11 +# mov 0(%rbp),%rbx +# mov 8(%rbp),%rbp # last instruction prior epilogue +# .cfi_epilogue # may not change %r11 in epilogue +# lea 16(%r11),%rsp +# ret +# .cfi_endproc +# .size rbp_as_frame_pointer,.-rbp_as_frame_pointer +# +# An example of "legacy" frame pointer: +# +# .type legacy_frame_pointer,\@function,3,"unwind" # mind extra tag! +# legacy_frame_pointer: +# .cfi_startproc +# push %rbp +# .cfi_push %rbp +# mov %rsp,%rbp +# .cfi_def_cfa_register %rbp +# push %rbx +# .cfi_push %rbx +# sub \$40,%rsp +# .cfi_alloca 40 +# .cfi_end_prologue # %rsp-%rbp has to be 16*n +# and \$-64,%rsp +# ... +# mov -8(%rbp),%rbx +# mov %rbp,%rsp +# .cfi_def_cfa_register %rsp +# pop %rbp # recognized by Windows +# .cfi_pop %rbp +# .cfi_epilogue +# ret +# .cfi_endproc +# .size legacy_frame_pointer,.-legacy_frame_pointer +# +# To give an example of fixed-frame subroutine for reference: +# +# .type fixed_frame,\@function,3,"unwind" # mind extra tag! +# fixed_frame: +# .cfi_startproc +# push %rbp +# .cfi_push %rbp +# push %rbx +# .cfi_push %rbx +# sub \$40,%rsp +# .cfi_adjust_cfa_offset 40 +# .cfi_end_prologue +# ... +# mov 40(%rsp),%rbx +# mov 48(%rsp),%rbp +# lea 56(%rsp),%rsp +# .cfi_adjust_cfa_offset -56 +# .cfi_epilogue +# ret +# .cfi_endproc +# .size fixed_frame,.-fixed_frame +# +# As for epilogue itself, one can only work on non-volatile registers. +# "Non-volatile" in "Windows" sense, i.e. minus %rdi and %rsi. +# +# On a final note, mixing old-style and modernized subroutines in the +# same file takes some trickery. Ones of the new kind have to appear +# after old-style ones. This has everything to do with the fact that +# entries in the .pdata segment have to appear in strictly same order +# as corresponding subroutines, and auto-generated RUNTIME_FUNCTION +# structures get mechanically appended to whatever existing .pdata. +# +# (*) Just in case, why %r11 and not %rax. This has everything to do +# with the way UNWIND_INFO is, one just can't designate %rax as +# frame pointer. diff --git a/cbits/chacha_avx2.c b/cbits/chacha_avx2.c new file mode 100644 --- /dev/null +++ b/cbits/chacha_avx2.c @@ -0,0 +1,146 @@ +/* + * ChaCha with AVX2, eight blocks at a time. + * + * The same arrangement as the SSE and NEON versions, twice as wide: word i + * of eight blocks goes in lane i of one 256-bit register. Eight blocks is + * where the register file stops being the constraint -- sixteen registers + * hold the working state either way, so the wider ones are free. + * + * AVX2 is not part of any baseline, so this is reached only after + * crypton_x86_simd_features() has said the CPU has it and the OS saves the + * wider registers. It is compiled into a translation unit that is + * otherwise baseline, through a function attribute, so nothing here can be + * emitted anywhere else. + */ + +#include +#include +#include "crypton_chacha.h" + +#ifdef WITH_TARGET_ATTRIBUTES + +#define TARGET __attribute__((target("avx2"))) + +/* rotating a 32-bit lane by sixteen or eight is a byte shuffle, which AVX2 + * does within each 128-bit half -- which is all this needs */ +static const int8_t rot16_tbl[32] = { + 2,3,0,1, 6,7,4,5, 10,11,8,9, 14,15,12,13, + 2,3,0,1, 6,7,4,5, 10,11,8,9, 14,15,12,13, +}; +static const int8_t rot8_tbl[32] = { + 3,0,1,2, 7,4,5,6, 11,8,9,10, 15,12,13,14, + 3,0,1,2, 7,4,5,6, 11,8,9,10, 15,12,13,14, +}; + +#define ROL(x, n) \ + ((n) == 16 ? _mm256_shuffle_epi8((x), _mm256_loadu_si256((const __m256i *) rot16_tbl)) \ + : (n) == 8 ? _mm256_shuffle_epi8((x), _mm256_loadu_si256((const __m256i *) rot8_tbl)) \ + : _mm256_or_si256(_mm256_slli_epi32((x), (n)), _mm256_srli_epi32((x), 32 - (n)))) + +TARGET +static inline void core8(int rounds, const crypton_chacha_state *in, + const uint8_t *src, uint8_t *dst, int combine) +{ + __m256i v0, v1, v2, v3, v4, v5, v6, v7; + __m256i v8, v9, v10, v11, v12, v13, v14, v15; + const uint32_t c = in->d[12]; + const __m256i ctr = _mm256_setr_epi32((int) c, (int) (c + 1), (int) (c + 2), + (int) (c + 3), (int) (c + 4), (int) (c + 5), + (int) (c + 6), (int) (c + 7)); + int i; + +#define SET(n) v##n = _mm256_set1_epi32((int) in->d[n]) + SET(0); SET(1); SET(2); SET(3); + SET(4); SET(5); SET(6); SET(7); + SET(8); SET(9); SET(10); SET(11); + SET(13); SET(14); SET(15); +#undef SET + v12 = ctr; + +#define QR(a, b, cc, d) \ + a = _mm256_add_epi32(a, b); d = ROL(_mm256_xor_si256(d, a), 16); \ + cc = _mm256_add_epi32(cc, d); b = ROL(_mm256_xor_si256(b, cc), 12); \ + a = _mm256_add_epi32(a, b); d = ROL(_mm256_xor_si256(d, a), 8); \ + cc = _mm256_add_epi32(cc, d); b = ROL(_mm256_xor_si256(b, cc), 7) + + for (i = rounds; i > 0; i -= 2) { + QR(v0, v4, v8, v12); + QR(v1, v5, v9, v13); + QR(v2, v6, v10, v14); + QR(v3, v7, v11, v15); + + QR(v0, v5, v10, v15); + QR(v1, v6, v11, v12); + QR(v2, v7, v8, v13); + QR(v3, v4, v9, v14); + } +#undef QR + +#define ADD(n) v##n = _mm256_add_epi32(v##n, _mm256_set1_epi32((int) in->d[n])) + ADD(0); ADD(1); ADD(2); ADD(3); + ADD(4); ADD(5); ADD(6); ADD(7); + ADD(8); ADD(9); ADD(10); ADD(11); + ADD(13); ADD(14); ADD(15); +#undef ADD + v12 = _mm256_add_epi32(v12, ctr); + + /* + * The interleave works within each 128-bit half, so four registers + * holding word w of blocks 0..7 come apart into words w..w+3 of + * blocks 0..3 in the low halves and of blocks 4..7 in the high ones. + * + * Each piece is exclusive-ored with the input and stored where it + * belongs as it comes out. Writing the keystream to a buffer and + * reading it back to combine it cost a pass over every byte, which is + * a tenth of what this loop does. + */ +#define OUT(j, g, v) \ + do { \ + __m128i o_ = (v); \ + if (combine) \ + o_ = _mm_xor_si128(o_, _mm_loadu_si128( \ + (const __m128i *) (src + 64 * (j) + 4 * (g)))); \ + _mm_storeu_si128((__m128i *) (dst + 64 * (j) + 4 * (g)), o_);\ + } while (0) + +#define GROUP(g, qa, qb, qc, qd) \ + do { \ + __m256i t0_ = _mm256_unpacklo_epi32(qa, qb); \ + __m256i t1_ = _mm256_unpackhi_epi32(qa, qb); \ + __m256i t2_ = _mm256_unpacklo_epi32(qc, qd); \ + __m256i t3_ = _mm256_unpackhi_epi32(qc, qd); \ + __m256i u0_ = _mm256_unpacklo_epi64(t0_, t2_); \ + __m256i u1_ = _mm256_unpackhi_epi64(t0_, t2_); \ + __m256i u2_ = _mm256_unpacklo_epi64(t1_, t3_); \ + __m256i u3_ = _mm256_unpackhi_epi64(t1_, t3_); \ + OUT(0, (g), _mm256_castsi256_si128(u0_)); \ + OUT(1, (g), _mm256_castsi256_si128(u1_)); \ + OUT(2, (g), _mm256_castsi256_si128(u2_)); \ + OUT(3, (g), _mm256_castsi256_si128(u3_)); \ + OUT(4, (g), _mm256_extracti128_si256(u0_, 1)); \ + OUT(5, (g), _mm256_extracti128_si256(u1_, 1)); \ + OUT(6, (g), _mm256_extracti128_si256(u2_, 1)); \ + OUT(7, (g), _mm256_extracti128_si256(u3_, 1)); \ + } while (0) + GROUP(0, v0, v1, v2, v3); + GROUP(4, v4, v5, v6, v7); + GROUP(8, v8, v9, v10, v11); + GROUP(12, v12, v13, v14, v15); +#undef GROUP +#undef OUT +} + +TARGET +void crypton_chacha_avx2_combine(int rounds, uint8_t *dst, const uint8_t *src, + const crypton_chacha_state *in) +{ + core8(rounds, in, src, dst, 1); +} + +TARGET +void crypton_chacha_avx2_generate(int rounds, uint8_t *dst, const crypton_chacha_state *in) +{ + core8(rounds, in, NULL, dst, 0); +} + +#endif /* WITH_TARGET_ATTRIBUTES */ diff --git a/cbits/chacha_neon.c b/cbits/chacha_neon.c new file mode 100644 --- /dev/null +++ b/cbits/chacha_neon.c @@ -0,0 +1,145 @@ +/* + * ChaCha with NEON, four blocks at a time. + * + * The state is sixteen 32-bit words and the quarter rounds touch four of + * them at once, so a single block vectorises only by shuffling lanes + * between the column and diagonal rounds. Four blocks vectorise without + * any shuffling at all: word i of the four blocks goes in lane i of one + * register, every quarter round is then the same operation on whole + * registers, and the blocks are independent because only the counter + * differs between them. + * + * NEON is part of the AArch64 baseline, so unlike the AES, PMULL and SHA + * work there is nothing to ask about at runtime and no target attribute + * to attach. + */ + +#include +#include +#include +#include "crypton_chacha.h" + +/* rotate each 32-bit lane left by n */ +#define ROL(x, n) vsriq_n_u32(vshlq_n_u32((x), (n)), (x), 32 - (n)) +/* by 16 it is a halfword swap, and by 8 a byte shuffle; both beat the pair + * of shifts */ +#define ROL16(x) vreinterpretq_u32_u16(vrev32q_u16(vreinterpretq_u16_u32(x))) +#define ROL8(x) vreinterpretq_u32_u8(vqtbl1q_u8(vreinterpretq_u8_u32(x), rot8)) + +#define QR(a, b, c, d) \ + a = vaddq_u32(a, b); d = ROL16(veorq_u32(d, a)); \ + c = vaddq_u32(c, d); b = ROL(veorq_u32(b, c), 12); \ + a = vaddq_u32(a, b); d = ROL8(veorq_u32(d, a)); \ + c = vaddq_u32(c, d); b = ROL(veorq_u32(b, c), 7) + +/* + * Turn four registers holding word w of blocks 0..3 into four holding + * words w..w+3 of one block each, which is the order they are written in. + */ +#define TRANSPOSE(a, b, c, d) \ + do { \ + uint32x4x2_t t0_ = vtrnq_u32((a), (b)); \ + uint32x4x2_t t1_ = vtrnq_u32((c), (d)); \ + (a) = vcombine_u32(vget_low_u32(t0_.val[0]), \ + vget_low_u32(t1_.val[0])); \ + (b) = vcombine_u32(vget_low_u32(t0_.val[1]), \ + vget_low_u32(t1_.val[1])); \ + (c) = vcombine_u32(vget_high_u32(t0_.val[0]), \ + vget_high_u32(t1_.val[0])); \ + (d) = vcombine_u32(vget_high_u32(t0_.val[1]), \ + vget_high_u32(t1_.val[1])); \ + } while (0) + +/* + * Four blocks with counters d[12], d[12]+1, d[12]+2 and d[12]+3. The + * caller keeps the state's counter, and only calls this when those four + * do not carry into d[13]. + */ +static inline void core4(int rounds, const crypton_chacha_state *in, + const uint8_t *src, uint8_t *dst, int combine) +{ + static const uint8_t rot8_tbl[16] = + { 3,0,1,2, 7,4,5,6, 11,8,9,10, 15,12,13,14 }; + const uint8x16_t rot8 = vld1q_u8(rot8_tbl); + uint32x4_t v0, v1, v2, v3, v4, v5, v6, v7; + uint32x4_t v8, v9, v10, v11, v12, v13, v14, v15; + const uint32_t c = in->d[12]; + const uint32_t ctr4[4] = { c, c + 1, c + 2, c + 3 }; + int i; + + /* + * Only the working state is kept in registers. The initial state has + * to be added back at the end, but holding a second copy of it would + * want thirty-two registers for that alone, and the machine has + * thirty-two in total; read it again instead, from memory that is + * certainly warm. + */ +#define SET(n) v##n = vdupq_n_u32(in->d[n]) + SET(0); SET(1); SET(2); SET(3); + SET(4); SET(5); SET(6); SET(7); + SET(8); SET(9); SET(10); SET(11); + SET(13); SET(14); SET(15); +#undef SET + v12 = vld1q_u32(ctr4); + + for (i = rounds; i > 0; i -= 2) { + QR(v0, v4, v8, v12); + QR(v1, v5, v9, v13); + QR(v2, v6, v10, v14); + QR(v3, v7, v11, v15); + + QR(v0, v5, v10, v15); + QR(v1, v6, v11, v12); + QR(v2, v7, v8, v13); + QR(v3, v4, v9, v14); + } + +#define ADD(n) v##n = vaddq_u32(v##n, vdupq_n_u32(in->d[n])) + ADD(0); ADD(1); ADD(2); ADD(3); + ADD(4); ADD(5); ADD(6); ADD(7); + ADD(8); ADD(9); ADD(10); ADD(11); + ADD(13); ADD(14); ADD(15); +#undef ADD + v12 = vaddq_u32(v12, vld1q_u32(ctr4)); + + TRANSPOSE(v0, v1, v2, v3); + TRANSPOSE(v4, v5, v6, v7); + TRANSPOSE(v8, v9, v10, v11); + TRANSPOSE(v12, v13, v14, v15); + + /* + * Each piece is exclusive-ored with the input and stored where it + * belongs as it comes out. Writing the keystream to a buffer and + * reading it back to combine it cost a pass over every byte. + */ +#define ST(j, g, v) \ + do { \ + uint8x16_t o_ = vreinterpretq_u8_u32(v); \ + if (combine) \ + o_ = veorq_u8(o_, vld1q_u8(src + 64 * (j) \ + + 4 * (g))); \ + vst1q_u8(dst + 64 * (j) + 4 * (g), o_); \ + } while (0) + ST(0, 0, v0); ST(1, 0, v1); ST(2, 0, v2); ST(3, 0, v3); + ST(0, 4, v4); ST(1, 4, v5); ST(2, 4, v6); ST(3, 4, v7); + ST(0, 8, v8); ST(1, 8, v9); ST(2, 8, v10); ST(3, 8, v11); + ST(0, 12, v12); ST(1, 12, v13); ST(2, 12, v14); ST(3, 12, v15); +#undef ST +} + +void crypton_chacha_simd_combine(int rounds, uint8_t *dst, const uint8_t *src, + const crypton_chacha_state *in) +{ + core4(rounds, in, src, dst, 1); +} + +void crypton_chacha_simd_generate(int rounds, uint8_t *dst, const crypton_chacha_state *in) +{ + core4(rounds, in, NULL, dst, 0); +} + +/* NEON has no wider sibling to choose between, so the answer is fixed. */ +int crypton_chacha_simd_width(void) +{ + return 4; +} diff --git a/cbits/chacha_sse2.c b/cbits/chacha_sse2.c new file mode 100644 --- /dev/null +++ b/cbits/chacha_sse2.c @@ -0,0 +1,105 @@ +/* + * ChaCha with SSE, four blocks at a time, and the choice of which x86 + * version to run. + * + * Word i of four blocks goes in lane i of one register, so every quarter + * round is one operation on whole registers and no lane moves between the + * column and the diagonal rounds. Only the counter differs between the + * four blocks. + * + * SSE2 is part of the x86-64 baseline and needs no check. SSSE3 takes the + * rotates by sixteen and eight in one instruction each, and AVX2 -- in + * chacha_avx2.c -- carries eight blocks instead of four; both are reached + * only after crypton_x86_simd_features() says so. Both also need function + * attributes to sit in a translation unit that is otherwise baseline, so + * with use_target_attributes turned off only the SSE2 version is built. + */ + +#include +#include +#ifdef WITH_TARGET_ATTRIBUTES +#include +#endif +#include "crypton_chacha.h" +#include "crypton_cpu.h" + +#define SIZED(n) n##_sse2 +#define TARGET +#define ROL(x, n) _mm_or_si128(_mm_slli_epi32((x), (n)), _mm_srli_epi32((x), 32 - (n))) +#include +#undef SIZED +#undef TARGET +#undef ROL + +#ifdef WITH_TARGET_ATTRIBUTES + +static const int8_t rot16_tbl[16] = { 2,3,0,1, 6,7,4,5, 10,11,8,9, 14,15,12,13 }; +static const int8_t rot8_tbl[16] = { 3,0,1,2, 7,4,5,6, 11,8,9,10, 15,12,13,14 }; + +#define SIZED(n) n##_ssse3 +#define TARGET __attribute__((target("ssse3"))) +#define ROL(x, n) \ + ((n) == 16 ? _mm_shuffle_epi8((x), _mm_loadu_si128((const __m128i *) rot16_tbl)) \ + : (n) == 8 ? _mm_shuffle_epi8((x), _mm_loadu_si128((const __m128i *) rot8_tbl)) \ + : _mm_or_si128(_mm_slli_epi32((x), (n)), _mm_srli_epi32((x), 32 - (n)))) +#include +#undef SIZED +#undef TARGET +#undef ROL + +void crypton_chacha_avx2_combine(int rounds, uint8_t *dst, const uint8_t *src, + const crypton_chacha_state *in); +void crypton_chacha_avx2_generate(int rounds, uint8_t *dst, const crypton_chacha_state *in); + +#endif + +/* how many blocks a call covers, and which version does it */ +enum { IMPL_UNRESOLVED = 0, IMPL_SSE2, IMPL_SSSE3, IMPL_AVX2 }; + +static int impl = IMPL_UNRESOLVED; + +/* Two threads racing to answer this both write the same value. */ +static int resolve(void) +{ +#ifdef WITH_TARGET_ATTRIBUTES + uint32_t f = crypton_x86_simd_features(); + + if (f & CRYPTON_X86_AVX2) + impl = IMPL_AVX2; + else if (f & CRYPTON_X86_SSSE3) + impl = IMPL_SSSE3; + else +#endif + impl = IMPL_SSE2; + return impl; +} + +int crypton_chacha_simd_width(void) +{ + int i = impl ? impl : resolve(); + + return i == IMPL_AVX2 ? 8 : 4; +} + +void crypton_chacha_simd_combine(int rounds, uint8_t *dst, const uint8_t *src, + const crypton_chacha_state *in) +{ + switch (impl ? impl : resolve()) { +#ifdef WITH_TARGET_ATTRIBUTES + case IMPL_AVX2: crypton_chacha_avx2_combine(rounds, dst, src, in); return; + case IMPL_SSSE3: combine_ssse3(rounds, dst, src, in); return; +#endif + default: combine_sse2(rounds, dst, src, in); return; + } +} + +void crypton_chacha_simd_generate(int rounds, uint8_t *dst, const crypton_chacha_state *in) +{ + switch (impl ? impl : resolve()) { +#ifdef WITH_TARGET_ATTRIBUTES + case IMPL_AVX2: crypton_chacha_avx2_generate(rounds, dst, in); return; + case IMPL_SSSE3: generate_ssse3(rounds, dst, in); return; +#endif + default: generate_sse2(rounds, dst, in); return; + } +} diff --git a/cbits/chacha_sse_impl.c b/cbits/chacha_sse_impl.c new file mode 100644 --- /dev/null +++ b/cbits/chacha_sse_impl.c @@ -0,0 +1,114 @@ +/* + * Included from chacha_sse2.c once per instruction set, with SIZED() + * naming the functions, ROL() rotating a lane and TARGET saying what the + * functions may use. The body is identical; only the two rotates by + * sixteen and eight differ, and only because SSSE3 can do each in one + * PSHUFB where SSE2 needs a shift, a shift and an or. + */ + +/* + * Four blocks with counters d[12] .. d[12]+3. The caller keeps the + * state's counter and only calls this when those four do not carry into + * d[13]. + */ +TARGET +static inline void SIZED(core4)(int rounds, const crypton_chacha_state *in, + const uint8_t *src, uint8_t *dst, int combine) +{ + __m128i v0, v1, v2, v3, v4, v5, v6, v7; + __m128i v8, v9, v10, v11, v12, v13, v14, v15; + const uint32_t c = in->d[12]; + int i; + + /* + * Sixteen registers hold the working state and the machine has + * sixteen, so the initial state is read again at the end rather than + * kept in a second set. + */ +#define SET(n) v##n = _mm_set1_epi32((int) in->d[n]) + SET(0); SET(1); SET(2); SET(3); + SET(4); SET(5); SET(6); SET(7); + SET(8); SET(9); SET(10); SET(11); + SET(13); SET(14); SET(15); +#undef SET + v12 = _mm_setr_epi32((int) c, (int) (c + 1), (int) (c + 2), (int) (c + 3)); + +#define QR(a, b, cc, d) \ + a = _mm_add_epi32(a, b); d = ROL(_mm_xor_si128(d, a), 16); \ + cc = _mm_add_epi32(cc, d); b = ROL(_mm_xor_si128(b, cc), 12); \ + a = _mm_add_epi32(a, b); d = ROL(_mm_xor_si128(d, a), 8); \ + cc = _mm_add_epi32(cc, d); b = ROL(_mm_xor_si128(b, cc), 7) + + for (i = rounds; i > 0; i -= 2) { + QR(v0, v4, v8, v12); + QR(v1, v5, v9, v13); + QR(v2, v6, v10, v14); + QR(v3, v7, v11, v15); + + QR(v0, v5, v10, v15); + QR(v1, v6, v11, v12); + QR(v2, v7, v8, v13); + QR(v3, v4, v9, v14); + } +#undef QR + +#define ADD(n) v##n = _mm_add_epi32(v##n, _mm_set1_epi32((int) in->d[n])) + ADD(0); ADD(1); ADD(2); ADD(3); + ADD(4); ADD(5); ADD(6); ADD(7); + ADD(8); ADD(9); ADD(10); ADD(11); + ADD(13); ADD(14); ADD(15); +#undef ADD + v12 = _mm_add_epi32(v12, _mm_setr_epi32((int) c, (int) (c + 1), + (int) (c + 2), (int) (c + 3))); + + /* four registers holding word w of blocks 0..3 become four holding + * words w..w+3 of one block each, the order they are written in */ +#define TRANSPOSE(qa, qb, qc, qd) \ + do { \ + __m128i t0_ = _mm_unpacklo_epi32(qa, qb); \ + __m128i t1_ = _mm_unpackhi_epi32(qa, qb); \ + __m128i t2_ = _mm_unpacklo_epi32(qc, qd); \ + __m128i t3_ = _mm_unpackhi_epi32(qc, qd); \ + qa = _mm_unpacklo_epi64(t0_, t2_); \ + qb = _mm_unpackhi_epi64(t0_, t2_); \ + qc = _mm_unpacklo_epi64(t1_, t3_); \ + qd = _mm_unpackhi_epi64(t1_, t3_); \ + } while (0) + TRANSPOSE(v0, v1, v2, v3); + TRANSPOSE(v4, v5, v6, v7); + TRANSPOSE(v8, v9, v10, v11); + TRANSPOSE(v12, v13, v14, v15); +#undef TRANSPOSE + + /* + * Each piece is exclusive-ored with the input and stored where it + * belongs as it comes out. Writing the keystream to a buffer and + * reading it back to combine it cost a pass over every byte. + */ +#define ST(j, g, v) \ + do { \ + __m128i o_ = (v); \ + if (combine) \ + o_ = _mm_xor_si128(o_, _mm_loadu_si128( \ + (const __m128i *) (src + 64 * (j) + 4 * (g)))); \ + _mm_storeu_si128((__m128i *) (dst + 64 * (j) + 4 * (g)), o_); \ + } while (0) + ST(0, 0, v0); ST(1, 0, v1); ST(2, 0, v2); ST(3, 0, v3); + ST(0, 4, v4); ST(1, 4, v5); ST(2, 4, v6); ST(3, 4, v7); + ST(0, 8, v8); ST(1, 8, v9); ST(2, 8, v10); ST(3, 8, v11); + ST(0, 12, v12); ST(1, 12, v13); ST(2, 12, v14); ST(3, 12, v15); +#undef ST +} + +TARGET +static void SIZED(combine)(int rounds, uint8_t *dst, const uint8_t *src, + const crypton_chacha_state *in) +{ + SIZED(core4)(rounds, in, src, dst, 1); +} + +TARGET +static void SIZED(generate)(int rounds, uint8_t *dst, const crypton_chacha_state *in) +{ + SIZED(core4)(rounds, in, NULL, dst, 0); +} diff --git a/cbits/crypton_aes.c b/cbits/crypton_aes.c --- a/cbits/crypton_aes.c +++ b/cbits/crypton_aes.c @@ -38,6 +38,9 @@ #include #include #include +#ifdef WITH_GCM_FUSED +#include +#endif void crypton_aes_generic_encrypt_ecb(aes_block *output, aes_key *key, aes_block *input, uint32_t nb_blocks); void crypton_aes_generic_decrypt_ecb(aes_block *output, aes_key *key, aes_block *input, uint32_t nb_blocks); @@ -56,6 +59,42 @@ void crypton_aes_generic_ccm_encrypt(uint8_t *output, aes_ccm *ccm, aes_key *key, uint8_t *input, uint32_t length); void crypton_aes_generic_ccm_decrypt(uint8_t *output, aes_ccm *ccm, aes_key *key, uint8_t *input, uint32_t length); +#ifdef WITH_ARMV8_CRYPTO +void crypton_aes_armv8_init(aes_key *key, uint8_t *origkey, uint8_t size); +int crypton_aes_armv8_gcm_fused_dec(uint8_t *out, const block128 *ht, + aes_key *key, const uint8_t *nonce, + const uint8_t *aad, uint32_t aadlen, + const uint8_t *in, uint32_t inlen, + const uint8_t *tag, uint32_t taglen, + uint8_t *outtag); +void crypton_aes_armv8_gcm_fused(uint8_t *out, const block128 *ht, + aes_key *key, const uint8_t *nonce, + const uint8_t *aad, uint32_t aadlen, + const uint8_t *in, uint32_t inlen, + uint32_t taglen, aes_key *hpkey, + uint32_t sampleoff, uint8_t *mask); +#define ARMV8_DECLS(sz) \ + void crypton_aes_armv8_encrypt_block##sz(aes_block *output, aes_key *key, aes_block *input); \ + void crypton_aes_armv8_decrypt_block##sz(aes_block *output, aes_key *key, aes_block *input); \ + void crypton_aes_armv8_encrypt_ecb##sz(aes_block *output, aes_key *key, aes_block *input, uint32_t nb_blocks); \ + void crypton_aes_armv8_decrypt_ecb##sz(aes_block *output, aes_key *key, aes_block *input, uint32_t nb_blocks); \ + void crypton_aes_armv8_encrypt_cbc##sz(aes_block *output, aes_key *key, aes_block *iv, aes_block *input, uint32_t nb_blocks); \ + void crypton_aes_armv8_decrypt_cbc##sz(aes_block *output, aes_key *key, aes_block *iv, aes_block *input, uint32_t nb_blocks); \ + void crypton_aes_armv8_encrypt_ctr##sz(uint8_t *output, aes_key *key, aes_block *iv, uint8_t *input, uint32_t len); \ + void crypton_aes_armv8_gcm_encrypt##sz(uint8_t *output, aes_gcm *gcm, aes_key *key, uint8_t *input, uint32_t length); \ + void crypton_aes_armv8_gcm_decrypt##sz(uint8_t *output, aes_gcm *gcm, aes_key *key, uint8_t *input, uint32_t length); \ + void crypton_aes_armv8_encrypt_xts##sz(aes_block *output, aes_key *k1, aes_key *k2, aes_block *dataunit, uint32_t spoint, aes_block *input, uint32_t nb_blocks); \ + void crypton_aes_armv8_decrypt_xts##sz(aes_block *output, aes_key *k1, aes_key *k2, aes_block *dataunit, uint32_t spoint, aes_block *input, uint32_t nb_blocks); +ARMV8_DECLS(128) +ARMV8_DECLS(192) +ARMV8_DECLS(256) +int crypton_aes_armv8_available(void); +int crypton_aes_armv8_pmull_available(void); +void crypton_aes_armv8_hinit_pmull(block128 *htable, const block128 *h); +void crypton_aes_armv8_gf_mul_pmull(block128 *a, const block128 *htable); +void crypton_aes_armv8_gf_mul4_pmull(block128 *a, const block128 *blocks, const block128 *htable); +#endif + enum { /* init */ INIT_128, INIT_192, INIT_256, @@ -85,7 +124,7 @@ ENCRYPT_CCM_128, ENCRYPT_CCM_192, ENCRYPT_CCM_256, DECRYPT_CCM_128, DECRYPT_CCM_192, DECRYPT_CCM_256, /* ghash */ - GHASH_HINIT, GHASH_GF_MUL, + GHASH_HINIT, GHASH_GF_MUL, GHASH_GF_MUL4, }; void *crypton_aes_branch_table[] = { @@ -153,6 +192,7 @@ /* GHASH */ [GHASH_HINIT] = crypton_aes_generic_hinit, [GHASH_GF_MUL] = crypton_aes_generic_gf_mul, + [GHASH_GF_MUL4] = crypton_aes_generic_gf_mul4, }; typedef void (*init_f)(aes_key *, uint8_t *, uint8_t); @@ -166,8 +206,9 @@ typedef void (*block_f)(aes_block *output, aes_key *key, aes_block *input); typedef void (*hinit_f)(table_4bit htable, const block128 *h); typedef void (*gf_mul_f)(block128 *a, const table_4bit htable); +typedef void (*gf_mul4_f)(block128 *a, const block128 *blocks, const table_4bit htable); -#ifdef WITH_AESNI +#if defined(WITH_AESNI) || defined(WITH_ARMV8_CRYPTO) #define GET_INIT(strength) \ ((init_f) (crypton_aes_branch_table[INIT_128 + strength])) #define GET_ECB_ENCRYPT(strength) \ @@ -206,6 +247,8 @@ (((hinit_f) (crypton_aes_branch_table[GHASH_HINIT]))(t,h)) #define crypton_gf_mul(a,t) \ (((gf_mul_f) (crypton_aes_branch_table[GHASH_GF_MUL]))(a,t)) +#define crypton_gf_mul4(a,b,t) \ + (((gf_mul4_f) (crypton_aes_branch_table[GHASH_GF_MUL4]))(a,b,t)) #else #define GET_INIT(strenght) crypton_aes_generic_init #define GET_ECB_ENCRYPT(strength) crypton_aes_generic_encrypt_ecb @@ -226,6 +269,7 @@ #define crypton_aes_decrypt_block(o,k,i) crypton_aes_generic_decrypt_block(o,k,i) #define crypton_hinit(t,h) crypton_aes_generic_hinit(t,h) #define crypton_gf_mul(a,t) crypton_aes_generic_gf_mul(a,t) +#define crypton_gf_mul4(a,b,t) crypton_aes_generic_gf_mul4(a,b,t) #endif #define CPU_AESNI 0 @@ -242,39 +286,61 @@ crypton_aes_cpu_options[CPU_AESNI] = 1; crypton_aes_branch_table[INIT_128] = crypton_aesni_init; + crypton_aes_branch_table[INIT_192] = crypton_aesni_init; crypton_aes_branch_table[INIT_256] = crypton_aesni_init; crypton_aes_branch_table[ENCRYPT_BLOCK_128] = crypton_aesni_encrypt_block128; crypton_aes_branch_table[DECRYPT_BLOCK_128] = crypton_aesni_decrypt_block128; + crypton_aes_branch_table[ENCRYPT_BLOCK_192] = crypton_aesni_encrypt_block192; crypton_aes_branch_table[ENCRYPT_BLOCK_256] = crypton_aesni_encrypt_block256; + crypton_aes_branch_table[DECRYPT_BLOCK_192] = crypton_aesni_decrypt_block192; crypton_aes_branch_table[DECRYPT_BLOCK_256] = crypton_aesni_decrypt_block256; /* ECB */ crypton_aes_branch_table[ENCRYPT_ECB_128] = crypton_aesni_encrypt_ecb128; crypton_aes_branch_table[DECRYPT_ECB_128] = crypton_aesni_decrypt_ecb128; + crypton_aes_branch_table[ENCRYPT_ECB_192] = crypton_aesni_encrypt_ecb192; crypton_aes_branch_table[ENCRYPT_ECB_256] = crypton_aesni_encrypt_ecb256; + crypton_aes_branch_table[DECRYPT_ECB_192] = crypton_aesni_decrypt_ecb192; crypton_aes_branch_table[DECRYPT_ECB_256] = crypton_aesni_decrypt_ecb256; /* CBC */ crypton_aes_branch_table[ENCRYPT_CBC_128] = crypton_aesni_encrypt_cbc128; crypton_aes_branch_table[DECRYPT_CBC_128] = crypton_aesni_decrypt_cbc128; + crypton_aes_branch_table[ENCRYPT_CBC_192] = crypton_aesni_encrypt_cbc192; crypton_aes_branch_table[ENCRYPT_CBC_256] = crypton_aesni_encrypt_cbc256; + crypton_aes_branch_table[DECRYPT_CBC_192] = crypton_aesni_decrypt_cbc192; crypton_aes_branch_table[DECRYPT_CBC_256] = crypton_aesni_decrypt_cbc256; /* CTR */ crypton_aes_branch_table[ENCRYPT_CTR_128] = crypton_aesni_encrypt_ctr128; + crypton_aes_branch_table[ENCRYPT_CTR_192] = crypton_aesni_encrypt_ctr192; crypton_aes_branch_table[ENCRYPT_CTR_256] = crypton_aesni_encrypt_ctr256; /* CTR with 32-bit wrapping */ crypton_aes_branch_table[ENCRYPT_C32_128] = crypton_aesni_encrypt_c32_128; + crypton_aes_branch_table[ENCRYPT_C32_192] = crypton_aesni_encrypt_c32_192; crypton_aes_branch_table[ENCRYPT_C32_256] = crypton_aesni_encrypt_c32_256; /* XTS */ crypton_aes_branch_table[ENCRYPT_XTS_128] = crypton_aesni_encrypt_xts128; + crypton_aes_branch_table[ENCRYPT_XTS_192] = crypton_aesni_encrypt_xts192; crypton_aes_branch_table[ENCRYPT_XTS_256] = crypton_aesni_encrypt_xts256; + crypton_aes_branch_table[DECRYPT_XTS_128] = crypton_aesni_decrypt_xts128; + crypton_aes_branch_table[DECRYPT_XTS_192] = crypton_aesni_decrypt_xts192; + crypton_aes_branch_table[DECRYPT_XTS_256] = crypton_aesni_decrypt_xts256; /* GCM */ + /* GCM, where the build has the carry-less multiply, waits below until + * the processor is known to have it too: the loop calls the multiply + * rather than reaching it through the branch pointer, so that it can + * be scheduled against the rounds, and is compiled with the + * instruction. The AArch64 table waits for PMULL for the same reason. + */ +#ifndef WITH_PCLMUL crypton_aes_branch_table[ENCRYPT_GCM_128] = crypton_aesni_gcm_encrypt128; + crypton_aes_branch_table[ENCRYPT_GCM_192] = crypton_aesni_gcm_encrypt192; crypton_aes_branch_table[ENCRYPT_GCM_256] = crypton_aesni_gcm_encrypt256; - /* OCB */ - /* - crypton_aes_branch_table[ENCRYPT_OCB_128] = crypton_aesni_ocb_encrypt128; - crypton_aes_branch_table[ENCRYPT_OCB_256] = crypton_aesni_ocb_encrypt256; - */ + crypton_aes_branch_table[DECRYPT_GCM_128] = crypton_aesni_gcm_decrypt128; + crypton_aes_branch_table[DECRYPT_GCM_192] = crypton_aesni_gcm_decrypt192; + crypton_aes_branch_table[DECRYPT_GCM_256] = crypton_aesni_gcm_decrypt256; +#endif + /* OCB drives the ECB paths above a group at a time, so it has no + * entries of its own */ #ifdef WITH_PCLMUL if (!pclmul) return; @@ -283,16 +349,115 @@ /* GHASH */ crypton_aes_branch_table[GHASH_HINIT] = crypton_aesni_hinit_pclmul, crypton_aes_branch_table[GHASH_GF_MUL] = crypton_aesni_gf_mul_pclmul, + crypton_aes_branch_table[GHASH_GF_MUL4] = crypton_aesni_gf_mul4_pclmul, crypton_aesni_init_pclmul(); + + /* and GCM, which needs both halves */ + crypton_aes_branch_table[ENCRYPT_GCM_128] = crypton_aesni_gcm_encrypt128; + crypton_aes_branch_table[ENCRYPT_GCM_192] = crypton_aesni_gcm_encrypt192; + crypton_aes_branch_table[ENCRYPT_GCM_256] = crypton_aesni_gcm_encrypt256; + crypton_aes_branch_table[DECRYPT_GCM_128] = crypton_aesni_gcm_decrypt128; + crypton_aes_branch_table[DECRYPT_GCM_192] = crypton_aesni_gcm_decrypt192; + crypton_aes_branch_table[DECRYPT_GCM_256] = crypton_aesni_gcm_decrypt256; #endif } #endif -uint8_t *crypton_aes_cpu_init(void) +#ifdef WITH_ARMV8_CRYPTO +static void initialize_table_armv8(void) { + if (!crypton_aes_armv8_available()) + return; + crypton_aes_cpu_options[CPU_AESNI] = 1; + + crypton_aes_branch_table[INIT_128] = crypton_aes_armv8_init; + crypton_aes_branch_table[INIT_192] = crypton_aes_armv8_init; + crypton_aes_branch_table[INIT_256] = crypton_aes_armv8_init; + + crypton_aes_branch_table[ENCRYPT_BLOCK_128] = crypton_aes_armv8_encrypt_block128; + crypton_aes_branch_table[DECRYPT_BLOCK_128] = crypton_aes_armv8_decrypt_block128; + crypton_aes_branch_table[ENCRYPT_BLOCK_192] = crypton_aes_armv8_encrypt_block192; + crypton_aes_branch_table[ENCRYPT_BLOCK_256] = crypton_aes_armv8_encrypt_block256; + crypton_aes_branch_table[DECRYPT_BLOCK_192] = crypton_aes_armv8_decrypt_block192; + crypton_aes_branch_table[DECRYPT_BLOCK_256] = crypton_aes_armv8_decrypt_block256; + /* ECB */ + crypton_aes_branch_table[ENCRYPT_ECB_128] = crypton_aes_armv8_encrypt_ecb128; + crypton_aes_branch_table[DECRYPT_ECB_128] = crypton_aes_armv8_decrypt_ecb128; + crypton_aes_branch_table[ENCRYPT_ECB_192] = crypton_aes_armv8_encrypt_ecb192; + crypton_aes_branch_table[ENCRYPT_ECB_256] = crypton_aes_armv8_encrypt_ecb256; + crypton_aes_branch_table[DECRYPT_ECB_192] = crypton_aes_armv8_decrypt_ecb192; + crypton_aes_branch_table[DECRYPT_ECB_256] = crypton_aes_armv8_decrypt_ecb256; + /* CBC */ + crypton_aes_branch_table[ENCRYPT_CBC_128] = crypton_aes_armv8_encrypt_cbc128; + crypton_aes_branch_table[DECRYPT_CBC_128] = crypton_aes_armv8_decrypt_cbc128; + crypton_aes_branch_table[ENCRYPT_CBC_192] = crypton_aes_armv8_encrypt_cbc192; + crypton_aes_branch_table[ENCRYPT_CBC_256] = crypton_aes_armv8_encrypt_cbc256; + crypton_aes_branch_table[DECRYPT_CBC_192] = crypton_aes_armv8_decrypt_cbc192; + crypton_aes_branch_table[DECRYPT_CBC_256] = crypton_aes_armv8_decrypt_cbc256; + /* CTR, which the generic loop would otherwise drive one block at a time */ + crypton_aes_branch_table[ENCRYPT_CTR_128] = crypton_aes_armv8_encrypt_ctr128; + crypton_aes_branch_table[ENCRYPT_CTR_192] = crypton_aes_armv8_encrypt_ctr192; + crypton_aes_branch_table[ENCRYPT_CTR_256] = crypton_aes_armv8_encrypt_ctr256; + /* XTS, likewise, in both directions */ + crypton_aes_branch_table[ENCRYPT_XTS_128] = crypton_aes_armv8_encrypt_xts128; + crypton_aes_branch_table[DECRYPT_XTS_128] = crypton_aes_armv8_decrypt_xts128; + crypton_aes_branch_table[ENCRYPT_XTS_192] = crypton_aes_armv8_encrypt_xts192; + crypton_aes_branch_table[ENCRYPT_XTS_256] = crypton_aes_armv8_encrypt_xts256; + crypton_aes_branch_table[DECRYPT_XTS_192] = crypton_aes_armv8_decrypt_xts192; + crypton_aes_branch_table[DECRYPT_XTS_256] = crypton_aes_armv8_decrypt_xts256; + + /* GHASH, which GCM spends its time in once AES itself is fast */ + if (!crypton_aes_armv8_pmull_available()) + return; + crypton_aes_cpu_options[CPU_PCLMUL] = 1; + crypton_aes_branch_table[GHASH_HINIT] = crypton_aes_armv8_hinit_pmull; + crypton_aes_branch_table[GHASH_GF_MUL] = crypton_aes_armv8_gf_mul_pmull; + crypton_aes_branch_table[GHASH_GF_MUL4] = crypton_aes_armv8_gf_mul4_pmull; + + /* GCM, which needs both halves and so waits until PMULL is known to + * be there; the generic loop stands in otherwise */ + crypton_aes_branch_table[ENCRYPT_GCM_128] = crypton_aes_armv8_gcm_encrypt128; + crypton_aes_branch_table[DECRYPT_GCM_128] = crypton_aes_armv8_gcm_decrypt128; + crypton_aes_branch_table[ENCRYPT_GCM_192] = crypton_aes_armv8_gcm_encrypt192; + crypton_aes_branch_table[ENCRYPT_GCM_256] = crypton_aes_armv8_gcm_encrypt256; + crypton_aes_branch_table[DECRYPT_GCM_192] = crypton_aes_armv8_gcm_decrypt192; + crypton_aes_branch_table[DECRYPT_GCM_256] = crypton_aes_armv8_gcm_decrypt256; +} +#endif + +/* Which implementation each entry of the branch table names is decided once, + * before anything else runs. + * + * It used to be decided again on every crypton_aes_initkey, which meant two + * threads taking a key at the same time were writing the whole table at the + * same time -- a data race for as long as the program used AES, not just at + * the start. ThreadSanitizer reports forty-two of them for eight threads + * doing nothing but taking keys. The values written are the same ones every + * time and the table starts out holding valid generic implementations, so + * nothing has ever come of it; it is a race the standard gives no meaning to + * all the same. + * + * A constructor runs while there is one thread, which is the cheapest way to + * have no race at all: no flag to test, no lock to take, and one less thing + * for crypton_aes_initkey to do per key. */ +static void crypton_aes_cpu_setup(void) +{ #if defined(ARCH_X86) && defined(WITH_AESNI) crypton_aesni_initialize_hw(initialize_table_ni); #endif +#ifdef WITH_ARMV8_CRYPTO + initialize_table_armv8(); +#endif +} + +__attribute__((constructor)) +static void crypton_aes_cpu_ctor(void) +{ + crypton_aes_cpu_setup(); +} + +uint8_t *crypton_aes_cpu_init(void) +{ return crypton_aes_cpu_options; } @@ -303,7 +468,6 @@ case 24: key->nbr = 12; key->strength = 1; break; case 32: key->nbr = 14; key->strength = 2; break; } - crypton_aes_cpu_init(); init_f _init = GET_INIT(key->strength); _init(key, origkey, size); } @@ -332,33 +496,6 @@ d(output, key, iv, input, nb_blocks); } -void crypton_aes_gen_ctr(aes_block *output, aes_key *key, const aes_block *iv, uint32_t nb_blocks) -{ - aes_block block; - - /* preload IV in block */ - block128_copy(&block, iv); - - for ( ; nb_blocks-- > 0; output++, block128_inc_be(&block)) { - crypton_aes_encrypt_block(output, key, &block); - } -} - -void crypton_aes_gen_ctr_cont(aes_block *output, aes_key *key, aes_block *iv, uint32_t nb_blocks) -{ - aes_block block; - - /* preload IV in block */ - block128_copy(&block, iv); - - for ( ; nb_blocks-- > 0; output++, block128_inc_be(&block)) { - crypton_aes_encrypt_block(output, key, &block); - } - - /* copy back the IV */ - block128_copy(iv, &block); -} - void crypton_aes_encrypt_ctr(uint8_t *output, aes_key *key, aes_block *iv, uint8_t *input, uint32_t len) { ctr_f e = GET_CTR_ENCRYPT(key->strength); @@ -381,7 +518,8 @@ void crypton_aes_decrypt_xts(aes_block *output, aes_key *k1, aes_key *k2, aes_block *dataunit, uint32_t spoint, aes_block *input, uint32_t nb_blocks) { - crypton_aes_generic_decrypt_xts(output, k1, k2, dataunit, spoint, input, nb_blocks); + xts_f d = GET_XTS_DECRYPT(k1->strength); + d(output, k1, k2, dataunit, spoint, input, nb_blocks); } void crypton_aes_gcm_encrypt(uint8_t *output, aes_gcm *gcm, aes_key *key, uint8_t *input, uint32_t length) @@ -426,20 +564,40 @@ crypton_gf_mul(&gcm->tag, gcm->htable); } -void crypton_aes_gcm_init(aes_gcm *gcm, aes_key *key, uint8_t *iv, uint32_t len) +/* Same, for four consecutive blocks. Where the multiply is a carry-less + * instruction this costs one reduction instead of four. */ +static void gcm_ghash_add4(aes_gcm *gcm, const block128 *b) { + crypton_gf_mul4(&gcm->tag, b, gcm->htable); +} + +/* The part of the state that depends on the key alone: H = encrypt_K(0^128) + * and the table of its multiples. It is 256 of the 320 bytes, and a caller + * that keeps a key can compute it once instead of once per message. */ +void crypton_aes_gcm_key_init(aes_gcm_key *gk, aes_key *key) +{ block128 h; + + block128_zero(&h); + crypton_aes_encrypt_block(&h, key, &h); + crypton_hinit(gk->gcm.htable, &h); +#ifdef WITH_GCM_FUSED + if (crypton_aes_cpu_options[CPU_AESNI] + && crypton_aes_cpu_options[CPU_PCLMUL]) + crypton_gcm_fused_key_init(&gk->fused, key); +#endif +} + +/* Everything else: what the nonce and the message determine. Leaves htable + * alone, so it runs on a state whose key part is already there. */ +static void gcm_message_init(aes_gcm *gcm, uint8_t *iv, uint32_t len) +{ gcm->length_aad = 0; gcm->length_input = 0; - block128_zero(&h); block128_zero(&gcm->tag); block128_zero(&gcm->iv); - /* prepare H : encrypt_K(0^128) */ - crypton_aes_encrypt_block(&h, key, &h); - crypton_hinit(gcm->htable, &h); - if (len == 12) { block128_copy_bytes(&gcm->iv, iv, 12); gcm->iv.b[15] = 0x01; @@ -462,9 +620,22 @@ block128_copy_aligned(&gcm->civ, &gcm->iv); } +void crypton_aes_gcm_init(aes_gcm *gcm, aes_key *key, uint8_t *iv, uint32_t len) +{ + block128 h; + + block128_zero(&h); + crypton_aes_encrypt_block(&h, key, &h); + crypton_hinit(gcm->htable, &h); + gcm_message_init(gcm, iv, len); +} + void crypton_aes_gcm_aad(aes_gcm *gcm, uint8_t *input, uint32_t length) { gcm->length_aad += length; + for (; length >= 64; input += 64, length -= 64) { + gcm_ghash_add4(gcm, (const block128 *) input); + } for (; length >= 16; input += 16, length -= 16) { gcm_ghash_add(gcm, (block128 *) input); } @@ -495,6 +666,195 @@ } } +/* One message, one call. The key part of the state comes in already built, + * the rest is set up on the stack, and the additional data, the encryption + * and the tag all happen before returning, so nothing crosses a language + * boundary between them and no intermediate state is copied out. The output + * buffer takes the ciphertext and then the tag, so it wants length + taglen + * bytes. */ +void crypton_aes_gcm_full_encrypt(uint8_t *output, const aes_gcm_key *gcmkey, aes_key *key, + uint8_t *iv, uint32_t ivlen, + uint8_t *aad, uint32_t aadlen, + uint8_t *input, uint32_t length, uint32_t taglen) +{ + aes_gcm gcm; + uint8_t tag[16]; + +#ifdef WITH_GCM_FUSED + /* Short messages go the other way: the assembly below will not start + * on anything under 288 bytes, and under about 1.5 KB the fused path + * is ahead of it even where it does. */ + if (ivlen == 12 && length <= CRYPTON_GCM_FUSED_MAX_MESSAGE + && crypton_aes_cpu_options[CPU_AESNI] + && crypton_aes_cpu_options[CPU_PCLMUL]) { + crypton_gcm_fused_encrypt(output, &gcmkey->fused, key, iv, + aad, aadlen, input, length, taglen, + NULL, 0, NULL); + return; + } +#endif +#ifdef WITH_ARMV8_CRYPTO + /* The same on AArch64, where the framing is what costs: composing the + * additional data, the encryption and the tag reaches each through the + * branch table, so the running state goes back to memory between them + * and a one-block header pays a reduction of its own. Measured on an + * Apple M4, a 100-byte packet is 3.0x faster taken in one call. + * + * No length limit, unlike x86: there is no vendored assembly on this + * side for a long message to be handed to instead, and measured + * against the path this replaces it is never slower -- 1.25x at 1440 + * bytes, level from about 6 KB up. */ + if (ivlen == 12 + && crypton_aes_cpu_options[CPU_AESNI] + && crypton_aes_cpu_options[CPU_PCLMUL]) { + crypton_aes_armv8_gcm_fused(output, gcmkey->gcm.htable, key, iv, + aad, aadlen, input, length, taglen, + NULL, 0, NULL); + return; + } +#endif + memcpy(gcm.htable, gcmkey->gcm.htable, sizeof(gcm.htable)); + gcm_message_init(&gcm, iv, ivlen); + if (aadlen) + crypton_aes_gcm_aad(&gcm, aad, aadlen); + if (length) + crypton_aes_gcm_encrypt(output, &gcm, key, input, length); + crypton_aes_gcm_finish(tag, &gcm, key); + memcpy(output + length, tag, taglen); +} + +/* The same, and then the header protection mask. QUIC takes its sample from + * the ciphertext, so the mask cannot be had before the encryption -- but it + * can be had before returning, which saves a second crossing for one AES + * block. The block itself is about a nanosecond; what it saves is the call. + * sampleoff is where the sixteen bytes of sample start in the output. */ +void crypton_aes_gcm_full_encrypt_mask(uint8_t *output, const aes_gcm_key *gcmkey, aes_key *key, + uint8_t *iv, uint32_t ivlen, + uint8_t *aad, uint32_t aadlen, + uint8_t *input, uint32_t length, uint32_t taglen, + aes_key *hpkey, uint32_t sampleoff, uint8_t *mask) +{ + block128 sample, m; + +#ifdef WITH_GCM_FUSED + /* Here the mask rides in a lane of the AES pipeline that the message + * length leaves idle, so it costs very nearly nothing on top of the + * encryption rather than a block of its own. */ + if (ivlen == 12 && length <= CRYPTON_GCM_FUSED_MAX_MESSAGE + && crypton_aes_cpu_options[CPU_AESNI] + && crypton_aes_cpu_options[CPU_PCLMUL]) { + crypton_gcm_fused_encrypt(output, &gcmkey->fused, key, iv, + aad, aadlen, input, length, taglen, + hpkey, sampleoff, mask); + return; + } +#endif +#ifdef WITH_ARMV8_CRYPTO + /* The same on AArch64, where the framing is what costs: composing the + * additional data, the encryption and the tag reaches each through the + * branch table, so the running state goes back to memory between them + * and a one-block header pays a reduction of its own. Measured on an + * Apple M4, a 100-byte packet is 3.3x faster taken in one call. */ + if (ivlen == 12 + && crypton_aes_cpu_options[CPU_AESNI] + && crypton_aes_cpu_options[CPU_PCLMUL]) { + crypton_aes_armv8_gcm_fused(output, gcmkey->gcm.htable, key, iv, + aad, aadlen, input, length, taglen, + hpkey, sampleoff, mask); + return; + } +#endif + crypton_aes_gcm_full_encrypt(output, gcmkey, key, iv, ivlen, aad, aadlen, + input, length, taglen); + /* copied rather than cast: the sample lands wherever the header put it + * and a block128 is read as 64-bit words */ + memcpy(&sample, output + sampleoff, 16); + crypton_aes_encrypt_block(&m, hpkey, &sample); + memcpy(mask, &m, 16); +} + +/* The same the other way, with the tag checked here rather than by the + * caller: returns 1 when it matches and 0 when it does not, comparing every + * byte either way. The plaintext is written whatever the answer, so a caller + * that gets 0 must not use it. */ +/* Decrypt, and either compare the tag or hand it back. + * + * With outtag NULL this is the verifying form: the tag is compared here, a + * byte at a time over its whole length whichever way the answer goes, and the + * answer is the return value. With outtag not NULL the computed tag is + * written there instead and the return value is 1 -- for a caller that holds + * the expected tag in a form of its own and will compare it itself. */ +static int gcm_full_decrypt(uint8_t *output, const aes_gcm_key *gcmkey, aes_key *key, + uint8_t *iv, uint32_t ivlen, + uint8_t *aad, uint32_t aadlen, + uint8_t *input, uint32_t length, + const uint8_t *tag, uint32_t taglen, + uint8_t *outtag) +{ + aes_gcm gcm; + uint8_t expected[16]; + uint32_t i; + uint8_t diff = 0; + +#ifdef WITH_GCM_FUSED + /* The same as the encryption side, and simpler: what GHASH absorbs + * here is the ciphertext, which is the input, so the multiplies need + * not wait for anything. Measured on an Intel Haswell, a 100-byte + * packet was three times the cost of encrypting one before this. */ + if (ivlen == 12 && length <= CRYPTON_GCM_FUSED_MAX_MESSAGE + && crypton_aes_cpu_options[CPU_AESNI] + && crypton_aes_cpu_options[CPU_PCLMUL]) + return crypton_gcm_fused_decrypt(output, &gcmkey->fused, key, + iv, aad, aadlen, input, + length, tag, taglen, outtag); +#endif +#ifdef WITH_ARMV8_CRYPTO + if (ivlen == 12 + && crypton_aes_cpu_options[CPU_AESNI] + && crypton_aes_cpu_options[CPU_PCLMUL]) + return crypton_aes_armv8_gcm_fused_dec(output, gcmkey->gcm.htable, + key, iv, aad, aadlen, + input, length, tag, taglen, + outtag); +#endif + memcpy(gcm.htable, gcmkey->gcm.htable, sizeof(gcm.htable)); + gcm_message_init(&gcm, iv, ivlen); + if (aadlen) + crypton_aes_gcm_aad(&gcm, aad, aadlen); + if (length) + crypton_aes_gcm_decrypt(output, &gcm, key, input, length); + crypton_aes_gcm_finish(expected, &gcm, key); + + if (outtag) { + memcpy(outtag, expected, taglen); + return 1; + } + for (i = 0; i < taglen; i++) + diff |= (uint8_t) (expected[i] ^ tag[i]); + return diff == 0; +} + +int crypton_aes_gcm_full_decrypt(uint8_t *output, const aes_gcm_key *gcmkey, aes_key *key, + uint8_t *iv, uint32_t ivlen, + uint8_t *aad, uint32_t aadlen, + uint8_t *input, uint32_t length, + const uint8_t *tag, uint32_t taglen) +{ + return gcm_full_decrypt(output, gcmkey, key, iv, ivlen, aad, aadlen, + input, length, tag, taglen, NULL); +} + +void crypton_aes_gcm_full_decrypt_tag(uint8_t *output, uint8_t *outtag, + const aes_gcm_key *gcmkey, aes_key *key, + uint8_t *iv, uint32_t ivlen, + uint8_t *aad, uint32_t aadlen, + uint8_t *input, uint32_t length, + uint32_t taglen) +{ + (void) gcm_full_decrypt(output, gcmkey, key, iv, ivlen, aad, aadlen, + input, length, NULL, taglen, outtag); +} + static inline uint8_t ccm_b0_flags(uint32_t has_adata, uint32_t m, uint32_t l) { return 8*m + l + (has_adata? 64: 0); @@ -655,7 +1015,22 @@ #undef L_CACHED } -void crypton_aes_ocb_init(aes_ocb *ocb, aes_key *key, uint8_t *iv, uint32_t len) +/* + * OCB's offsets are a running exclusive-or, so they have to be worked out in + * order, but the block cipher calls under them do not depend on each other: + * every block is offset, encrypted, and offset again. So the offsets are + * computed a group at a time and the group goes through ECB together, which + * is where the code written for the AES instructions interleaves eight blocks + * and covers the latency of AESENC. One block at a time left that idle and + * cost four times what GCM costs on the same machine, for a mode that does + * less work than GCM. + * + * Eight is what the ECB paths interleave; a group beyond that gains nothing + * and only makes the buffers larger. + */ +#define OCB_WAY 8 + +void crypton_aes_ocb_init(aes_ocb *ocb, aes_key *key, uint8_t *iv, uint32_t len, uint32_t taglen) { block128 tmp, nonce, ktop; unsigned char stretch[24]; @@ -665,6 +1040,9 @@ if (len > 15) { len = 15; } + if (taglen > 16) { + taglen = 16; + } /* create L*, and L$,L0,L1,L2,L3 */ block128_zero(&tmp); @@ -678,9 +1056,11 @@ /* create strech from the nonce */ block128_zero(&nonce); - memcpy(nonce.b + 4, iv, 12); - nonce.b[0] = (unsigned char)(((16 * 8) % 128) << 1); - nonce.b[16-12-1] |= 0x01; + if (len > 0) { + memcpy(nonce.b + (16 - len), iv, len); + nonce.b[16 - len - 1] |= 0x01; + } + nonce.b[0] |= (unsigned char)(((taglen * 8) % 128) << 1); bottom = nonce.b[15] & 0x3F; nonce.b[15] &= 0xC0; crypton_aes_encrypt_block(&ktop, key, &nonce); @@ -709,9 +1089,23 @@ void crypton_aes_ocb_aad(aes_ocb *ocb, aes_key *key, uint8_t *input, uint32_t length) { block128 tmp; - unsigned int i; + block128 buf[OCB_WAY]; + uint32_t blocks = length / 16; + unsigned int i = 1, j; - for (i=1; i<= length/16; i++, input=input+16) { + for (; blocks >= OCB_WAY; blocks -= OCB_WAY, input += 16 * OCB_WAY) { + for (j = 0; j < OCB_WAY; j++, i++) { + ocb_get_L_i(&tmp, ocb->li, i); + block128_xor_aligned(&ocb->offset_aad, &tmp); + block128_vxor(&buf[j], &ocb->offset_aad, + (block128 *) (input + 16 * j)); + } + crypton_aes_encrypt_ecb(buf, key, buf, OCB_WAY); + for (j = 0; j < OCB_WAY; j++) + block128_xor_aligned(&ocb->sum_aad, &buf[j]); + } + + for (; blocks > 0; blocks--, i++, input += 16) { ocb_get_L_i(&tmp, ocb->li, i); block128_xor_aligned(&ocb->offset_aad, &tmp); @@ -877,6 +1271,20 @@ aes_block out; gcm->length_input += length; + /* four blocks at a time, so GHASH can fold them into one reduction */ + for (; length >= 64; input += 64, output += 64, length -= 64) { + aes_block buf[4]; + int i; + + for (i = 0; i < 4; i++) { + block128_inc32_be(&gcm->civ); + crypton_aes_encrypt_block(&buf[i], key, &gcm->civ); + block128_xor(&buf[i], (block128 *) (input + 16 * i)); + } + gcm_ghash_add4(gcm, buf); + for (i = 0; i < 4; i++) + block128_copy((block128 *) (output + 16 * i), &buf[i]); + } for (; length >= 16; input += 16, output += 16, length -= 16) { block128_inc32_be(&gcm->civ); @@ -910,6 +1318,19 @@ aes_block out; gcm->length_input += length; + /* GHASH all four ciphertext blocks before writing any plaintext, since + * output may be input */ + for (; length >= 64; input += 64, output += 64, length -= 64) { + int i; + + gcm_ghash_add4(gcm, (const block128 *) input); + for (i = 0; i < 4; i++) { + block128_inc32_be(&gcm->civ); + crypton_aes_encrypt_block(&out, key, &gcm->civ); + block128_xor(&out, (block128 *) (input + 16 * i)); + block128_copy((block128 *) (output + 16 * i), &out); + } + } for (; length >= 16; input += 16, output += 16, length -= 16) { block128_inc32_be(&gcm->civ); @@ -941,10 +1362,37 @@ uint8_t *input, uint32_t length, int encrypt) { block128 tmp, pad; - unsigned int i; + block128 offsets[OCB_WAY], buf[OCB_WAY]; + uint32_t blocks = length / 16; + unsigned int i = 1, j; - for (i = 1; i <= length/16; i++, input += 16, output += 16) { - /* Offset_i = Offset_{i-1} xor L_{ntz(i)} */ + for (; blocks >= OCB_WAY; + blocks -= OCB_WAY, input += 16 * OCB_WAY, output += 16 * OCB_WAY) { + for (j = 0; j < OCB_WAY; j++, i++) { + /* Offset_i = Offset_{i-1} xor L_{ntz(i)} */ + ocb_get_L_i(&tmp, ocb->li, i); + block128_xor_aligned(&ocb->offset_enc, &tmp); + block128_copy_aligned(&offsets[j], &ocb->offset_enc); + block128_vxor(&buf[j], &ocb->offset_enc, + (block128 *) (input + 16 * j)); + } + + if (encrypt) + crypton_aes_encrypt_ecb(buf, key, buf, OCB_WAY); + else + crypton_aes_decrypt_ecb(buf, key, buf, OCB_WAY); + + for (j = 0; j < OCB_WAY; j++) { + block128_vxor((block128 *) (output + 16 * j), + &offsets[j], &buf[j]); + block128_xor(&ocb->sum_enc, + (block128 *) ((encrypt ? input : output) + + 16 * j)); + } + } + + /* and what is left of the message, a block at a time */ + for (; blocks > 0; blocks--, i++, input += 16, output += 16) { ocb_get_L_i(&tmp, ocb->li, i); block128_xor_aligned(&ocb->offset_enc, &tmp); diff --git a/cbits/crypton_aes.h b/cbits/crypton_aes.h --- a/cbits/crypton_aes.h +++ b/cbits/crypton_aes.h @@ -55,6 +55,55 @@ uint64_t length_input; } aes_gcm; +/* + * How many powers of H a key keeps for the fused path in + * cbits/aes/gcm_fused_x86.c. A power for every block of the message would + * fold its whole GHASH into one reduction, which is what picotls does, but + * then the state grows with the longest message a caller might send and a + * server holding many keys pays it for each. A fixed count costs one + * reduction per this many blocks and keeps the state one size. Sixteen was + * measured against 6, 8, 32, 64, 96 and 256: above eight the choice is worth + * about two per cent, since only messages short enough to take this path at + * all reach a second batch. Six is worth avoiding -- at 1440 bytes it is + * slower than not taking the path. + */ +#define CRYPTON_GCM_FUSED_POWERS 16 + +/* + * Beyond this many bytes the stitched assembly in cbits/asm is faster than + * the fused path, so longer messages go there instead. Measured on an Intel + * Haswell: even at 1440 bytes, the assembly ahead by 12 per cent at 3 KB and + * 20 per cent at 16 KB, and the fused path ahead by 1.9x at 100 bytes and + * 1.16x at 1200. QUIC packets fall below this; TLS records do not. + */ +#define CRYPTON_GCM_FUSED_MAX_MESSAGE 1536 + +/* + * The powers themselves, each shifted up by one bit, and beside each the + * halves of it added together for the Karatsuba term. The two are kept + * adjacent rather than in two arrays: a multiply wants both, and two arrays + * put them 256 bytes apart, which is two cache lines where this is one. + * + * Defined on every platform so that the key state below is one size + * everywhere; filled only where the fused path is compiled in. + */ +typedef struct { + struct { + aes_block h; + aes_block r; + } p[CRYPTON_GCM_FUSED_POWERS]; +} aes_gcm_fused; + +/* + * Everything a key determines, built once by crypton_aes_gcm_key_init and + * read by every message sent under that key: the key half of a GCM state, + * and the powers of H the fused path reads. 832 bytes. + */ +typedef struct { + aes_gcm gcm; + aes_gcm_fused fused; +} aes_gcm_key; + /* size = 4*16+4*4= 80 */ typedef struct { aes_block xi; @@ -95,8 +144,8 @@ void crypton_aes_encrypt_cbc(aes_block *output, aes_key *key, aes_block *iv, aes_block *input, uint32_t nb_blocks); void crypton_aes_decrypt_cbc(aes_block *output, aes_key *key, aes_block *iv, aes_block *input, uint32_t nb_blocks); -void crypton_aes_gen_ctr(aes_block *output, aes_key *key, const aes_block *iv, uint32_t nb_blocks); -void crypton_aes_gen_ctr_cont(aes_block *output, aes_key *key, aes_block *iv, uint32_t nb_blocks); +void crypton_aes_encrypt_ctr(uint8_t *output, aes_key *key, aes_block *iv, uint8_t *input, uint32_t len); +void crypton_aes_encrypt_c32(uint8_t *output, aes_key *key, aes_block *iv, uint8_t *input, uint32_t len); void crypton_aes_encrypt_xts(aes_block *output, aes_key *key, aes_key *key2, aes_block *sector, uint32_t spoint, aes_block *input, uint32_t nb_blocks); @@ -104,12 +153,33 @@ uint32_t spoint, aes_block *input, uint32_t nb_blocks); void crypton_aes_gcm_init(aes_gcm *gcm, aes_key *key, uint8_t *iv, uint32_t len); +void crypton_aes_gcm_key_init(aes_gcm_key *gk, aes_key *key); +void crypton_aes_gcm_full_encrypt(uint8_t *output, const aes_gcm_key *gcmkey, aes_key *key, + uint8_t *iv, uint32_t ivlen, + uint8_t *aad, uint32_t aadlen, + uint8_t *input, uint32_t length, uint32_t taglen); +void crypton_aes_gcm_full_encrypt_mask(uint8_t *output, const aes_gcm_key *gcmkey, aes_key *key, + uint8_t *iv, uint32_t ivlen, + uint8_t *aad, uint32_t aadlen, + uint8_t *input, uint32_t length, uint32_t taglen, + aes_key *hpkey, uint32_t sampleoff, uint8_t *mask); +int crypton_aes_gcm_full_decrypt(uint8_t *output, const aes_gcm_key *gcmkey, aes_key *key, + uint8_t *iv, uint32_t ivlen, + uint8_t *aad, uint32_t aadlen, + uint8_t *input, uint32_t length, + const uint8_t *tag, uint32_t taglen); +void crypton_aes_gcm_full_decrypt_tag(uint8_t *output, uint8_t *outtag, + const aes_gcm_key *gcmkey, aes_key *key, + uint8_t *iv, uint32_t ivlen, + uint8_t *aad, uint32_t aadlen, + uint8_t *input, uint32_t length, + uint32_t taglen); void crypton_aes_gcm_aad(aes_gcm *gcm, uint8_t *input, uint32_t length); void crypton_aes_gcm_encrypt(uint8_t *output, aes_gcm *gcm, aes_key *key, uint8_t *input, uint32_t length); void crypton_aes_gcm_decrypt(uint8_t *output, aes_gcm *gcm, aes_key *key, uint8_t *input, uint32_t length); void crypton_aes_gcm_finish(uint8_t *tag, aes_gcm *gcm, aes_key *key); -void crypton_aes_ocb_init(aes_ocb *ocb, aes_key *key, uint8_t *iv, uint32_t len); +void crypton_aes_ocb_init(aes_ocb *ocb, aes_key *key, uint8_t *iv, uint32_t len, uint32_t taglen); void crypton_aes_ocb_aad(aes_ocb *ocb, aes_key *key, uint8_t *input, uint32_t length); void crypton_aes_ocb_encrypt(uint8_t *output, aes_ocb *ocb, aes_key *key, uint8_t *input, uint32_t length); void crypton_aes_ocb_decrypt(uint8_t *output, aes_ocb *ocb, aes_key *key, uint8_t *input, uint32_t length); diff --git a/cbits/crypton_align.h b/cbits/crypton_align.h --- a/cbits/crypton_align.h +++ b/cbits/crypton_align.h @@ -3,6 +3,8 @@ #include "crypton_bitfn.h" +#include + #if (defined(__i386__)) # define UNALIGNED_ACCESS_OK #elif defined(__x86_64__) @@ -34,107 +36,119 @@ #define need_alignment(p,n) IS_ALIGNED(p,n) #endif -static inline uint32_t load_le32_aligned(const uint8_t *p) -{ - return le32_to_cpu(*((uint32_t *) p)); -} +/* + * Reading and writing a 32- or 64-bit word at a byte pointer. + * + * Through memcpy, not a cast to uint32_t * or uint64_t *. A cast is two + * things the standard does not allow -- a read of the value through the + * wrong type, and a read at an address that type is not aligned for -- and + * this file used to do both wherever UNALIGNED_ACCESS_OK is defined, which + * is i386 and x86-64. UndefinedBehaviorSanitizer reported seventy-eight + * lines of it. + * + * Every compiler crypton is built with turns a memcpy of four or eight bytes + * into the one load or store the cast used to be, so this is the same code + * with none of the licence. Where the target cannot do an unaligned load, + * the compiler is the one that knows, and it emits what the target needs -- + * which is what the byte-at-a-time versions this replaces were for. + * + * The _aligned names stay because nineteen files use them. They no longer + * ask anything of the pointer. + */ -static inline void store_le32_aligned(uint8_t *dst, const uint32_t v) +static inline uint32_t load_le32(const uint8_t *p) { - *((uint32_t *) dst) = cpu_to_le32(v); -} + uint32_t v; -static inline void xor_le32_aligned(uint8_t *dst, const uint32_t v) -{ - *((uint32_t *) dst) ^= cpu_to_le32(v); + memcpy(&v, p, sizeof(v)); + return le32_to_cpu(v); } -static inline void store_be32_aligned(uint8_t *dst, const uint32_t v) +static inline uint64_t load_le64(const uint8_t *p) { - *((uint32_t *) dst) = cpu_to_be32(v); -} + uint64_t v; -static inline void xor_be32_aligned(uint8_t *dst, const uint32_t v) -{ - *((uint32_t *) dst) ^= cpu_to_be32(v); + memcpy(&v, p, sizeof(v)); + return le64_to_cpu(v); } -static inline void store_le64_aligned(uint8_t *dst, const uint64_t v) +static inline uint32_t load_be32(const uint8_t *p) { - *((uint64_t *) dst) = cpu_to_le64(v); -} + uint32_t v; -static inline void store_be64_aligned(uint8_t *dst, const uint64_t v) -{ - *((uint64_t *) dst) = cpu_to_be64(v); + memcpy(&v, p, sizeof(v)); + return be32_to_cpu(v); } -static inline void xor_be64_aligned(uint8_t *dst, const uint64_t v) +static inline uint64_t load_be64(const uint8_t *p) { - *((uint64_t *) dst) ^= cpu_to_be64(v); -} + uint64_t v; -#ifdef UNALIGNED_ACCESS_OK -#define load_le32(a) load_le32_aligned(a) -#else -static inline uint32_t load_le32(const uint8_t *p) -{ - return ((uint32_t)p[0]) | ((uint32_t)p[1] << 8) | ((uint32_t)p[2] << 16) | ((uint32_t)p[3] << 24); + memcpy(&v, p, sizeof(v)); + return be64_to_cpu(v); } -#endif -#ifdef UNALIGNED_ACCESS_OK -#define store_le32(a, b) store_le32_aligned(a, b) -#define xor_le32(a, b) xor_le32_aligned(a, b) -#else static inline void store_le32(uint8_t *dst, const uint32_t v) { - dst[0] = v; dst[1] = v >> 8; dst[2] = v >> 16; dst[3] = v >> 24; + uint32_t w = cpu_to_le32(v); + + memcpy(dst, &w, sizeof(w)); } + static inline void xor_le32(uint8_t *dst, const uint32_t v) { - dst[0] ^= v; dst[1] ^= v >> 8; dst[2] ^= v >> 16; dst[3] ^= v >> 24; + store_le32(dst, le32_to_cpu(load_le32(dst)) ^ v); } -#endif -#ifdef UNALIGNED_ACCESS_OK -#define store_be32(a, b) store_be32_aligned(a, b) -#define xor_be32(a, b) xor_be32_aligned(a, b) -#else static inline void store_be32(uint8_t *dst, const uint32_t v) { - dst[3] = v; dst[2] = v >> 8; dst[1] = v >> 16; dst[0] = v >> 24; + uint32_t w = cpu_to_be32(v); + + memcpy(dst, &w, sizeof(w)); } + static inline void xor_be32(uint8_t *dst, const uint32_t v) { - dst[3] ^= v; dst[2] ^= v >> 8; dst[1] ^= v >> 16; dst[0] ^= v >> 24; + uint32_t w; + + memcpy(&w, dst, sizeof(w)); + w ^= cpu_to_be32(v); + memcpy(dst, &w, sizeof(w)); } -#endif -#ifdef UNALIGNED_ACCESS_OK -#define store_le64(a, b) store_le64_aligned(a, b) -#else static inline void store_le64(uint8_t *dst, const uint64_t v) { - dst[0] = v ; dst[1] = v >> 8 ; dst[2] = v >> 16; dst[3] = v >> 24; - dst[4] = v >> 32; dst[5] = v >> 40; dst[6] = v >> 48; dst[7] = v >> 56; + uint64_t w = cpu_to_le64(v); + + memcpy(dst, &w, sizeof(w)); } -#endif -#ifdef UNALIGNED_ACCESS_OK -#define store_be64(a, b) store_be64_aligned(a, b) -#define xor_be64(a, b) xor_be64_aligned(a, b) -#else static inline void store_be64(uint8_t *dst, const uint64_t v) { - dst[7] = v ; dst[6] = v >> 8 ; dst[5] = v >> 16; dst[4] = v >> 24; - dst[3] = v >> 32; dst[2] = v >> 40; dst[1] = v >> 48; dst[0] = v >> 56; + uint64_t w = cpu_to_be64(v); + + memcpy(dst, &w, sizeof(w)); } + static inline void xor_be64(uint8_t *dst, const uint64_t v) { - dst[7] ^= v ; dst[6] ^= v >> 8 ; dst[5] ^= v >> 16; dst[4] ^= v >> 24; - dst[3] ^= v >> 32; dst[2] ^= v >> 40; dst[1] ^= v >> 48; dst[0] ^= v >> 56; + uint64_t w; + + memcpy(&w, dst, sizeof(w)); + w ^= cpu_to_be64(v); + memcpy(dst, &w, sizeof(w)); } -#endif + +#define load_le32_aligned(p) load_le32(p) +#define load_le64_aligned(p) load_le64(p) +#define load_be32_aligned(p) load_be32(p) +#define load_be64_aligned(p) load_be64(p) +#define store_le32_aligned(d, v) store_le32(d, v) +#define xor_le32_aligned(d, v) xor_le32(d, v) +#define store_be32_aligned(d, v) store_be32(d, v) +#define xor_be32_aligned(d, v) xor_be32(d, v) +#define store_le64_aligned(d, v) store_le64(d, v) +#define store_be64_aligned(d, v) store_be64(d, v) +#define xor_be64_aligned(d, v) xor_be64(d, v) #endif diff --git a/cbits/crypton_armv8_target.h b/cbits/crypton_armv8_target.h new file mode 100644 --- /dev/null +++ b/cbits/crypton_armv8_target.h @@ -0,0 +1,40 @@ +/* + * Asking for an AArch64 extension on one function. + * + * The instructions these files use are extensions, so a translation unit + * compiled for the baseline may not emit them, and the function that does has + * to say which extension it needs. The two compilers spell that differently + * and did not always: + * + * clang target("+crypto") for as long as it matters + * GCC 13 and up target("+crypto") as well + * GCC before 13 target("arch=armv8-a+crypto") -- the bare "+feature" form + * is not understood, and the extension never reaches the + * function, so an always_inline intrinsic that needs it + * fails to inline and the build stops + * + * That last case is #273: gcc 12.2 on an aarch64 Linux could not build + * cbits/sha3_armv8.c at all. Naming the architecture as well as the + * extension is understood by every version of both compilers, so GCC is given + * that spelling and clang keeps the shorter one, which leaves whatever + * baseline the caller chose alone. + */ +#ifndef CRYPTON_ARMV8_TARGET_H +#define CRYPTON_ARMV8_TARGET_H + +#ifdef WITH_TARGET_ATTRIBUTES +#if defined(__clang__) +#define CRYPTON_TARGET_ARMV8_CRYPTO __attribute__((target("+crypto"))) +#define CRYPTON_TARGET_ARMV8_SHA3 __attribute__((target("+sha3"))) +#else +#define CRYPTON_TARGET_ARMV8_CRYPTO \ + __attribute__((target("arch=armv8-a+crypto"))) +#define CRYPTON_TARGET_ARMV8_SHA3 \ + __attribute__((target("arch=armv8.2-a+sha3"))) +#endif +#else +#define CRYPTON_TARGET_ARMV8_CRYPTO +#define CRYPTON_TARGET_ARMV8_SHA3 +#endif + +#endif diff --git a/cbits/crypton_bignum.h b/cbits/crypton_bignum.h new file mode 100644 --- /dev/null +++ b/cbits/crypton_bignum.h @@ -0,0 +1,512 @@ +/* + * Arithmetic on numbers held as arrays of limbs, least significant first. + * + * The modular multiplication is Montgomery's, and every choice it makes -- + * which of two numbers to keep after the final subtraction, which entry of a + * table to take -- is made with a mask rather than a branch, so that the + * values being worked on do not steer the work. The exponentiation in + * crypton_powm.c and the curve arithmetic in crypton_ecc.c are both built on + * this. + * + * Everything here is static inline: each file that includes it gets its own + * copy, which the compiler can specialise to the sizes it uses. + */ +#ifndef CRYPTON_BIGNUM_H +#define CRYPTON_BIGNUM_H + +#include +#include + +#if defined(__SIZEOF_INT128__) +typedef uint64_t limb_t; +typedef unsigned __int128 dlimb_t; +#define LIMB_BITS 64 +#else +typedef uint32_t limb_t; +typedef uint64_t dlimb_t; +#define LIMB_BITS 32 +#endif + +#define LIMB_BYTES (LIMB_BITS / 8) + +/* four bits of exponent per window, so a table of sixteen and no leftover + * bits: a byte holds exactly two windows */ +#define WINDOW_BITS 4 +#define TABLE_SIZE (1 << WINDOW_BITS) + +/* r = a - b, returning the borrow out of the top */ +static inline limb_t sub_n(limb_t *r, const limb_t *a, const limb_t *b, uint32_t n) +{ + limb_t borrow = 0; + uint32_t i; + + for (i = 0; i < n; i++) { + limb_t ai = a[i], bi = b[i]; + limb_t d = ai - bi - borrow; + /* borrow out, without branching */ + borrow = ((~ai & bi) | (~(ai ^ bi) & d)) >> (LIMB_BITS - 1); + r[i] = d; + } + return borrow; +} + +/* r = a + b, returning the carry out of the top */ +static inline limb_t add_n(limb_t *r, const limb_t *a, const limb_t *b, + uint32_t n) +{ + limb_t carry = 0; + uint32_t i; + + for (i = 0; i < n; i++) { + dlimb_t s = (dlimb_t) a[i] + b[i] + carry; + + r[i] = (limb_t) s; + carry = (limb_t) (s >> LIMB_BITS); + } + return carry; +} + +/* a = 2a, returning the bit shifted out of the top */ +static inline limb_t shl1(limb_t *a, uint32_t n) +{ + limb_t carry = 0; + uint32_t i; + + for (i = 0; i < n; i++) { + limb_t next = a[i] >> (LIMB_BITS - 1); + a[i] = (a[i] << 1) | carry; + carry = next; + } + return carry; +} + +/* r = take ? a : b */ +static inline void select_n(limb_t *r, const limb_t *a, const limb_t *b, limb_t take, + uint32_t n) +{ + limb_t mask = (limb_t) 0 - take; + uint32_t i; + + for (i = 0; i < n; i++) + r[i] = (a[i] & mask) | (b[i] & ~mask); +} + +/* all ones when a and b are equal, zero otherwise */ +static inline limb_t eq_mask(limb_t a, limb_t b) +{ + limb_t d = a ^ b; + limb_t nz = d | ((limb_t) 0 - d); /* top bit set unless d is zero */ + + return (limb_t) 0 - ((nz >> (LIMB_BITS - 1)) ^ 1); +} + +/* -m^-1 mod 2^LIMB_BITS, for odd m */ +static inline limb_t mont_n0(limb_t m0) +{ + limb_t inv = 1; + int i; + + /* Newton's iteration doubles the number of correct bits each time */ + for (i = 0; i < 6; i++) + inv *= (limb_t) 2 - m0 * inv; + return (limb_t) 0 - inv; +} + +/* + * t += a * b over n limbs, returning the carry. This is where nearly all of + * the time goes. + * + * The C below takes the limbs eight at a time; what is left over at the end + * is taken one at a time. On AArch64 the compiler writes each limb as + * `mul`, `umulh`, `adds`, `cset`, `adds`, `adc`: the carry out of one + * 128-bit addition leaves the flags for a general register and is added back + * in the next, because in C each addition is a statement of its own. Two of + * those instructions are that round trip. + * + * Three attempts to take them back measured worse than the C, and are + * written down here so that they are not tried again -- one RSA-2048 CRT + * private operation on an Apple M4, best of many: + * + * this loop in inline assembly, a carry chain per limb 654.7 us + * the same with the loads hoisted out of the chain 644.5 + * the multiply interleaved with its reduction (CIOS) 604.1 + * the C below 590.1 + * what the AArch64 block does, four limbs and two chains 514.9 + * the same, with the ragged end of the row written out too 503.4 + * + * The first two lose because a chain per limb serialises what the spare + * `cset` lets overlap: `adds`, `adc`, `adds`, `adc` is four dependent steps + * per limb, and a wide out-of-order core would rather have the extra + * instruction than the dependency. The third loses because shifting the + * accumulator down a limb each round costs more than the round trip through + * 2n limbs that it saves. What works is neither: four limbs to an + * iteration with the flags carrying through two long chains, one for the low + * halves of the products and one for the high halves a place up. + * + * There is more still there. OpenSSL's armv8-mont.pl runs a 16-limb + * Montgomery multiplication at about 0.98 multiply-accumulates per cycle; + * this file was at 0.55 and the block below brings it to 0.64, where 1.0 is + * the ceiling -- a multiply-accumulate is two instructions and the machine + * issues two multiplies a cycle. That code cannot be borrowed: it is in + * OpenSSL's tree only, under Apache-2.0, and CRYPTOGAMS, which this library + * does vendor from, publishes no Montgomery generator at all. BearSSL's + * only ARM assembly is 32-bit Thumb for Cortex-M0 to M3, with fifteen-bit + * limbs for cores that have no fast multiplier, and Botan's AArch64 inline + * assembly is the `mul`/`umulh`/`adds`/`adc` primitive the compiler already + * emits. + */ +#if defined(__aarch64__) && LIMB_BITS == 64 \ + && (defined(__GNUC__) || defined(__clang__)) +/* + * Four limbs to an iteration, accumulated in two chains rather than one per + * limb: the low halves of the four products, with the carry coming in, are + * one run of `adds` and `adcs`, and the high halves shifted up a place are + * another. The flags carry the whole way through each, which is what the C + * above cannot say and what it pays for in `cset` and an extra add. + * + * The arrangement is the one in Go's crypto/internal/fips140/bigmod + * (nat_arm64.s, addMulVVWx), which is BSD-3-Clause like this library -- + * cbits/LICENSE.go carries its notice. Written out here in the assembler + * this file's compiler speaks. + */ +static inline limb_t addmul_1(limb_t *t, const limb_t *a, uint32_t n, limb_t b) +{ + uint64_t carry = 0; + uint64_t x0, x1, x2, x3, z0, z1, z2, z3; + uint64_t l0, l1, l2, l3, h0, h1, h2, h3; + uint64_t blocks = n / 4, left = n % 4; + + if (blocks) { + __asm__ volatile( + "1:\n\t" + "ldp %[x0], %[x1], [%[a]], #16\n\t" + "ldp %[x2], %[x3], [%[a]], #16\n\t" + "ldp %[z0], %[z1], [%[t]]\n\t" + /* the low halves, one place up from the second chain, with + * the carry that came in */ + "adds %[z0], %[z0], %[c]\n\t" + "mul %[l1], %[x1], %[b]\n\t" + "adcs %[z1], %[z1], %[l1]\n\t" + "mul %[l2], %[x2], %[b]\n\t" + "ldp %[z2], %[z3], [%[t], #16]\n\t" + "adcs %[z2], %[z2], %[l2]\n\t" + "mul %[l3], %[x3], %[b]\n\t" + "adcs %[z3], %[z3], %[l3]\n\t" + "umulh %[h3], %[x3], %[b]\n\t" + "adc %[h3], %[h3], xzr\n\t" + /* and the high halves, which is where this block's own carry + * ends up */ + "mul %[l0], %[x0], %[b]\n\t" + "adds %[z0], %[z0], %[l0]\n\t" + "umulh %[h0], %[x0], %[b]\n\t" + "adcs %[z1], %[z1], %[h0]\n\t" + "umulh %[h1], %[x1], %[b]\n\t" + "stp %[z0], %[z1], [%[t]], #16\n\t" + "adcs %[z2], %[z2], %[h1]\n\t" + "umulh %[h2], %[x2], %[b]\n\t" + "adcs %[z3], %[z3], %[h2]\n\t" + "stp %[z2], %[z3], [%[t]], #16\n\t" + "adc %[c], %[h3], xzr\n\t" + "subs %[k], %[k], #1\n\t" + "b.ne 1b\n\t" + : [a] "+r"(a), [t] "+r"(t), [c] "+r"(carry), [k] "+r"(blocks), + [x0] "=&r"(x0), [x1] "=&r"(x1), [x2] "=&r"(x2), + [x3] "=&r"(x3), [z0] "=&r"(z0), [z1] "=&r"(z1), + [z2] "=&r"(z2), [z3] "=&r"(z3), [l0] "=&r"(l0), + [l1] "=&r"(l1), [l2] "=&r"(l2), [l3] "=&r"(l3), + [h0] "=&r"(h0), [h1] "=&r"(h1), [h2] "=&r"(h2), + [h3] "=&r"(h3) + : [b] "r"(b) + : "cc", "memory"); + } + /* What is left of the row: three limbs, two, or one, each the same two + * chains cut short. This is not a rare case to be handed back to C -- + * mont_sqr asks for every length from n-1 down to 1, so three rows in + * four end ragged. Only 4.7% of the limbs in a 1024-bit exponentiation + * arrive here, but they were the dearer ones, and writing them out is + * worth the last two per cent in the table above. The three lengths + * are spelled out rather than run as 2+1, because chaining two short + * blocks makes the second wait on the first: that costs two thirds of + * the gain. + */ + if (left == 3) { + __asm__ volatile( + "ldp %[x0], %[x1], [%[a]]\n\t" + "ldr %[x2], [%[a], #16]\n\t" + "add %[a], %[a], #24\n\t" + "ldp %[z0], %[z1], [%[t]]\n\t" + "ldr %[z2], [%[t], #16]\n\t" + "adds %[z0], %[z0], %[c]\n\t" + "mul %[l1], %[x1], %[b]\n\t" + "adcs %[z1], %[z1], %[l1]\n\t" + "mul %[l2], %[x2], %[b]\n\t" + "adcs %[z2], %[z2], %[l2]\n\t" + "umulh %[h2], %[x2], %[b]\n\t" + "adc %[h2], %[h2], xzr\n\t" + "mul %[l0], %[x0], %[b]\n\t" + "adds %[z0], %[z0], %[l0]\n\t" + "umulh %[h0], %[x0], %[b]\n\t" + "adcs %[z1], %[z1], %[h0]\n\t" + "umulh %[h1], %[x1], %[b]\n\t" + "stp %[z0], %[z1], [%[t]], #16\n\t" + "adcs %[z2], %[z2], %[h1]\n\t" + "str %[z2], [%[t]], #8\n\t" + "adc %[c], %[h2], xzr\n\t" + : [a] "+r"(a), [t] "+r"(t), [c] "+r"(carry), + [x0] "=&r"(x0), [x1] "=&r"(x1), [x2] "=&r"(x2), + [z0] "=&r"(z0), [z1] "=&r"(z1), [z2] "=&r"(z2), + [l0] "=&r"(l0), [l1] "=&r"(l1), [l2] "=&r"(l2), + [h0] "=&r"(h0), [h1] "=&r"(h1), [h2] "=&r"(h2) + : [b] "r"(b) + : "cc", "memory"); + } else if (left == 2) { + __asm__ volatile( + "ldp %[x0], %[x1], [%[a]], #16\n\t" + "ldp %[z0], %[z1], [%[t]]\n\t" + "adds %[z0], %[z0], %[c]\n\t" + "mul %[l1], %[x1], %[b]\n\t" + "adcs %[z1], %[z1], %[l1]\n\t" + "umulh %[h1], %[x1], %[b]\n\t" + "adc %[h1], %[h1], xzr\n\t" + "mul %[l0], %[x0], %[b]\n\t" + "adds %[z0], %[z0], %[l0]\n\t" + "umulh %[h0], %[x0], %[b]\n\t" + "adcs %[z1], %[z1], %[h0]\n\t" + "stp %[z0], %[z1], [%[t]], #16\n\t" + "adc %[c], %[h1], xzr\n\t" + : [a] "+r"(a), [t] "+r"(t), [c] "+r"(carry), + [x0] "=&r"(x0), [x1] "=&r"(x1), [z0] "=&r"(z0), + [z1] "=&r"(z1), [l0] "=&r"(l0), [l1] "=&r"(l1), + [h0] "=&r"(h0), [h1] "=&r"(h1) + : [b] "r"(b) + : "cc", "memory"); + } else if (left == 1) { + __asm__ volatile( + "ldr %[x0], [%[a]], #8\n\t" + "ldr %[z0], [%[t]]\n\t" + "mul %[l0], %[x0], %[b]\n\t" + "adds %[z0], %[z0], %[c]\n\t" + "umulh %[h0], %[x0], %[b]\n\t" + "adc %[h0], %[h0], xzr\n\t" + "adds %[z0], %[z0], %[l0]\n\t" + "str %[z0], [%[t]], #8\n\t" + "adc %[c], %[h0], xzr\n\t" + : [a] "+r"(a), [t] "+r"(t), [c] "+r"(carry), + [x0] "=&r"(x0), [z0] "=&r"(z0), [l0] "=&r"(l0), + [h0] "=&r"(h0) + : [b] "r"(b) + : "cc", "memory"); + } + return carry; +} +#else +/* one limb of it, so that the loops below can say how many they take at a + * time without saying the rest of it four times over */ +#define ADDMUL_STEP(k) \ + p = (dlimb_t) a[i + (k)] * b + t[i + (k)] + carry; \ + t[i + (k)] = (limb_t) p; \ + carry = (limb_t) (p >> LIMB_BITS); + +static inline limb_t addmul_1(limb_t *t, const limb_t *a, uint32_t n, limb_t b) +{ + limb_t carry = 0; + uint32_t i = 0; + dlimb_t p; + + for (; i + 8 <= n; i += 8) { + ADDMUL_STEP(0) ADDMUL_STEP(1) ADDMUL_STEP(2) ADDMUL_STEP(3) + ADDMUL_STEP(4) ADDMUL_STEP(5) ADDMUL_STEP(6) ADDMUL_STEP(7) + } + for (; i + 4 <= n; i += 4) { + ADDMUL_STEP(0) ADDMUL_STEP(1) ADDMUL_STEP(2) ADDMUL_STEP(3) + } + for (; i + 2 <= n; i += 2) { + ADDMUL_STEP(0) ADDMUL_STEP(1) + } + for (; i < n; i++) { + ADDMUL_STEP(0) + } + return carry; +} +#endif + +/* r = t * R^-1 mod m, with t of 2n limbs and destroyed on the way */ +static inline void mont_reduce(limb_t *r, limb_t *t, const limb_t *m, limb_t n0, + uint32_t n) +{ + limb_t borrow, take, carry = 0; + uint32_t i; + + for (i = 0; i < n; i++) { + limb_t u = t[i] * n0; + limb_t c = addmul_1(t + i, m, n, u); + dlimb_t s = (dlimb_t) t[n + i] + c + carry; + + t[n + i] = (limb_t) s; + carry = (limb_t) (s >> LIMB_BITS); + } + + /* what is left is under 2m, so at most one subtraction; which of the two + * to keep is a mask */ + borrow = sub_n(r, t + n, m, n); + take = carry | (borrow ^ 1); + select_n(r, r, t + n, take & 1, n); +} + +/* t = a * b, the low n limbs, returning the limb above them: addmul_1 with + * nothing to add to, for the row of a product that lands on empty space. */ +static inline limb_t mul_1(limb_t *t, const limb_t *a, uint32_t n, limb_t b) +{ + limb_t carry = 0; + uint32_t i; + + for (i = 0; i < n; i++) { + dlimb_t p = (dlimb_t) a[i] * b + carry; + + t[i] = (limb_t) p; + carry = (limb_t) (p >> LIMB_BITS); + } + return carry; +} + +/* r = a * b * R^-1 mod m, with t of 2n limbs */ +static inline void mont_mul(limb_t *r, const limb_t *a, const limb_t *b, + const limb_t *m, limb_t n0, uint32_t n, limb_t *t) +{ + uint32_t i; + + /* Nothing has to be cleared first. The first row lands on empty space + * and writes t[0 .. n], and every row after it reads t[i .. i+n-1], + * whose top limb is the one the row before it wrote. */ + t[n] = mul_1(t, a, n, b[0]); + for (i = 1; i < n; i++) + t[n + i] = addmul_1(t + i, a, n, b[i]); + mont_reduce(r, t, m, n0, n); +} + +/* r = a * a * R^-1 mod m, with t of 2n limbs. A square is its own mirror + * image, so each product off the diagonal is worth two and only half of them + * are worked out: their sum is doubled, and then the diagonal is added in. */ +static inline void mont_sqr(limb_t *r, const limb_t *a, const limb_t *m, limb_t n0, + uint32_t n, limb_t *t) +{ + limb_t carry = 0; + uint32_t i; + + /* The first row lands on empty space here too, on t[1 .. n], and the + * rows between them write t[1 .. 2n-2] before any of it is read. The + * diagonal below is the only reader of the two ends. */ + t[0] = 0; + t[2 * n - 1] = 0; + if (n > 1) + t[n] = mul_1(t + 1, a + 1, n - 1, a[0]); + for (i = 1; i + 1 < n; i++) + t[n + i] = addmul_1(t + i + i + 1, a + i + 1, n - 1 - i, a[i]); + shl1(t, 2 * n); /* their sum is under half of what 2n limbs hold */ + for (i = 0; i < n; i++) { + dlimb_t p = (dlimb_t) a[i] * a[i] + t[i + i] + carry; + + t[i + i] = (limb_t) p; + p = (dlimb_t) t[i + i + 1] + (limb_t) (p >> LIMB_BITS); + t[i + i + 1] = (limb_t) p; + carry = (limb_t) (p >> LIMB_BITS); + } + mont_reduce(r, t, m, n0, n); +} + +/* a = 2a mod m, for an a already under m */ +static inline void dbl_mod(limb_t *a, const limb_t *m, uint32_t n, limb_t *tmp) +{ + limb_t carry = shl1(a, n); + limb_t borrow = sub_n(tmp, a, m, n); + + select_n(a, tmp, a, (carry | (borrow ^ 1)) & 1, n); +} + +/* r2 = R^2 mod m, where R is 2^(n * LIMB_BITS) + * + * Doubling the whole way there is 2n * LIMB_BITS steps, and at RSA sizes + * that is a tenth of the exponentiation it is setting up for. Only the + * first half of it has to be done a bit at a time. + * + * Write a value as 2^(lgR + d) mod m. A Montgomery squaring divides by R, + * so it takes that to 2(lgR + d) - lgR = lgR + 2d: it doubles d. So double + * up to R mod m, where d is zero, take one more step to make d one, and then + * climb to d = lgR by the binary expansion of lgR -- a squaring for each bit + * and one more doubling where the bit is set. For a 1024-bit modulus that + * is ten squarings in place of a thousand and twenty-five doublings, and on + * an Apple M4 that is 2.1 microseconds against 24.7. + * + * Doubling starts at the highest power of two under the modulus rather than + * at one, since everything below that power is where doubling would go + * anyway: for a modulus that fills its limbs, that first half is one step. + * + * What the trip counts depend on is the modulus' length, which is what the + * doubling loop showed as well, and nothing else about it. + */ +static inline void mont_r2(limb_t *r2, const limb_t *m, limb_t n0, uint32_t n, + limb_t *t) +{ + uint32_t lgr = n * LIMB_BITS; + uint32_t i, k = 0, msb = 0; + + for (i = n; i > 0 && k == 0; i--) + if (m[i - 1] != 0) { + limb_t top = m[i - 1]; + + k = (i - 1) * LIMB_BITS; + while (top != 0) { + k++; + top >>= 1; + } + } + memset(r2, 0, n * sizeof(limb_t)); + if (k == 0) + return; /* a modulus of nothing, which the caller rules out */ + r2[(k - 1) / LIMB_BITS] = (limb_t) 1 << ((k - 1) % LIMB_BITS); + for (i = k - 1; i < lgr; i++) + dbl_mod(r2, m, n, t); + /* r2 is R mod m, so d is zero and squaring would leave it there */ + dbl_mod(r2, m, n, t); + while ((lgr >> (msb + 1)) != 0) + msb++; + for (i = msb; i > 0; i--) { + mont_sqr(r2, r2, m, n0, n, t); + if ((lgr >> (i - 1)) & 1) + dbl_mod(r2, m, n, t); + } +} + +/* big-endian bytes into limbs, least significant limb first; anything above + * n limbs has to be zero, which is what the contract on the base asks for */ +static inline int from_be(limb_t *r, uint32_t n, const uint8_t *src, uint32_t len) +{ + uint32_t i; + + memset(r, 0, n * sizeof(limb_t)); + for (i = 0; i < len; i++) { + uint8_t byte = src[len - 1 - i]; + + if (i / LIMB_BYTES >= n) { + if (byte != 0) + return 1; + continue; + } + r[i / LIMB_BYTES] |= (limb_t) byte << (8 * (i % LIMB_BYTES)); + } + return 0; +} + +static inline void to_be(uint8_t *dst, uint32_t len, const limb_t *a, uint32_t n) +{ + uint32_t i; + + for (i = 0; i < len; i++) { + uint32_t pos = len - 1 - i; + uint32_t li = i / LIMB_BYTES; + + dst[pos] = li < n ? (uint8_t) (a[li] >> (8 * (i % LIMB_BYTES))) : 0; + } +} + +#endif diff --git a/cbits/crypton_blowfish.c b/cbits/crypton_blowfish.c new file mode 100644 --- /dev/null +++ b/cbits/crypton_blowfish.c @@ -0,0 +1,456 @@ +/* + * Blowfish, and the key setup bcrypt wraps around it. + * + * The cipher is the plain one: sixteen Feistel rounds over a schedule of + * eighteen P words and four S boxes of 256, all of which the key is stirred + * into. What makes bcrypt out of it is doing that stirring twice for every + * count the cost asks for, with the salt in the mix, so that the work is + * whatever the cost says and cannot be skipped. + * + * None of this is constant time, and it is not meant to be: what it is given + * is a password, and what it leaks by timing is how long the password is, + * which the format says out loud anyway. What matters here is that a round + * costs what it costs, since that is the whole point of the cost parameter. + */ +#include +#include +#include + +/* The P array and the four S boxes, which are the digits of pi. */ +static const uint32_t initial_p[18] = { + 0x243f6a88U, 0x85a308d3U, 0x13198a2eU, 0x03707344U, 0xa4093822U, 0x299f31d0U, + 0x082efa98U, 0xec4e6c89U, 0x452821e6U, 0x38d01377U, 0xbe5466cfU, 0x34e90c6cU, + 0xc0ac29b7U, 0xc97c50ddU, 0x3f84d5b5U, 0xb5470917U, 0x9216d5d9U, 0x8979fb1bU +}; + +static const uint32_t initial_s[4][256] = { + { + 0xd1310ba6U, 0x98dfb5acU, 0x2ffd72dbU, 0xd01adfb7U, 0xb8e1afedU, 0x6a267e96U, + 0xba7c9045U, 0xf12c7f99U, 0x24a19947U, 0xb3916cf7U, 0x0801f2e2U, 0x858efc16U, + 0x636920d8U, 0x71574e69U, 0xa458fea3U, 0xf4933d7eU, 0x0d95748fU, 0x728eb658U, + 0x718bcd58U, 0x82154aeeU, 0x7b54a41dU, 0xc25a59b5U, 0x9c30d539U, 0x2af26013U, + 0xc5d1b023U, 0x286085f0U, 0xca417918U, 0xb8db38efU, 0x8e79dcb0U, 0x603a180eU, + 0x6c9e0e8bU, 0xb01e8a3eU, 0xd71577c1U, 0xbd314b27U, 0x78af2fdaU, 0x55605c60U, + 0xe65525f3U, 0xaa55ab94U, 0x57489862U, 0x63e81440U, 0x55ca396aU, 0x2aab10b6U, + 0xb4cc5c34U, 0x1141e8ceU, 0xa15486afU, 0x7c72e993U, 0xb3ee1411U, 0x636fbc2aU, + 0x2ba9c55dU, 0x741831f6U, 0xce5c3e16U, 0x9b87931eU, 0xafd6ba33U, 0x6c24cf5cU, + 0x7a325381U, 0x28958677U, 0x3b8f4898U, 0x6b4bb9afU, 0xc4bfe81bU, 0x66282193U, + 0x61d809ccU, 0xfb21a991U, 0x487cac60U, 0x5dec8032U, 0xef845d5dU, 0xe98575b1U, + 0xdc262302U, 0xeb651b88U, 0x23893e81U, 0xd396acc5U, 0x0f6d6ff3U, 0x83f44239U, + 0x2e0b4482U, 0xa4842004U, 0x69c8f04aU, 0x9e1f9b5eU, 0x21c66842U, 0xf6e96c9aU, + 0x670c9c61U, 0xabd388f0U, 0x6a51a0d2U, 0xd8542f68U, 0x960fa728U, 0xab5133a3U, + 0x6eef0b6cU, 0x137a3be4U, 0xba3bf050U, 0x7efb2a98U, 0xa1f1651dU, 0x39af0176U, + 0x66ca593eU, 0x82430e88U, 0x8cee8619U, 0x456f9fb4U, 0x7d84a5c3U, 0x3b8b5ebeU, + 0xe06f75d8U, 0x85c12073U, 0x401a449fU, 0x56c16aa6U, 0x4ed3aa62U, 0x363f7706U, + 0x1bfedf72U, 0x429b023dU, 0x37d0d724U, 0xd00a1248U, 0xdb0fead3U, 0x49f1c09bU, + 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0xf746ce76U, 0x77afa1c5U, 0x20756060U, + 0x85cbfe4eU, 0x8ae88dd8U, 0x7aaaf9b0U, 0x4cf9aa7eU, 0x1948c25cU, 0x02fb8a8cU, + 0x01c36ae4U, 0xd6ebe1f9U, 0x90d4f869U, 0xa65cdea0U, 0x3f09252dU, 0xc208e69fU, + 0xb74e6132U, 0xce77e25bU, 0x578fdfe3U, 0x3ac372e6U + } +}; + +#define F(ctx, x) \ + ((((ctx)->s[0][(x) >> 24] + (ctx)->s[1][((x) >> 16) & 0xff]) \ + ^ (ctx)->s[2][((x) >> 8) & 0xff]) \ + + (ctx)->s[3][(x) & 0xff]) + +static void block_encrypt(const crypton_blowfish_ctx *ctx, uint32_t *xl, + uint32_t *xr) +{ + uint32_t l = *xl, r = *xr; + int i; + + for (i = 0; i < 16; i += 2) { + l ^= ctx->p[i]; + r ^= F(ctx, l); + r ^= ctx->p[i + 1]; + l ^= F(ctx, r); + } + l ^= ctx->p[16]; + r ^= ctx->p[17]; + *xl = r; + *xr = l; +} + +static void block_decrypt(const crypton_blowfish_ctx *ctx, uint32_t *xl, + uint32_t *xr) +{ + uint32_t l = *xl, r = *xr; + int i; + + for (i = 16; i > 0; i -= 2) { + l ^= ctx->p[i + 1]; + r ^= F(ctx, l); + r ^= ctx->p[i]; + l ^= F(ctx, r); + } + l ^= ctx->p[1]; + r ^= ctx->p[0]; + *xl = r; + *xr = l; +} + +/* the next four bytes of the key, taken round and round */ +static uint32_t key_word(const uint8_t *key, uint32_t keylen, uint32_t *pos) +{ + uint32_t w = 0, i; + + for (i = 0; i < 4; i++) { + w = (w << 8) | key[*pos]; + *pos = (*pos + 1) % keylen; + } + return w; +} + +/* the key into the P array, and then the whole schedule rewritten by + * encrypting its way through itself */ +static void expand_key(crypton_blowfish_ctx *ctx, const uint8_t *key, + uint32_t keylen) +{ + uint32_t pos = 0, l = 0, r = 0; + int i, j; + + if (keylen > 0) + for (i = 0; i < 18; i++) + ctx->p[i] ^= key_word(key, keylen, &pos); + for (i = 0; i < 18; i += 2) { + block_encrypt(ctx, &l, &r); + ctx->p[i] = l; + ctx->p[i + 1] = r; + } + for (i = 0; i < 4; i++) + for (j = 0; j < 256; j += 2) { + block_encrypt(ctx, &l, &r); + ctx->s[i][j] = l; + ctx->s[i][j + 1] = r; + } +} + +/* the same, with the salt exclusive-ored into what is encrypted at every + * step, which is what makes the schedule depend on it. The salt is taken + * round and round as the key is, so a salt of any length will do: bcrypt + * hands it sixteen bytes and bcrypt_pbkdf hands it sixty-four. */ +static void expand_key_with_salt(crypton_blowfish_ctx *ctx, const uint8_t *key, + uint32_t keylen, const uint8_t *salt, + uint32_t saltlen) +{ + uint32_t kpos = 0, spos = 0, l = 0, r = 0; + int i, j; + + if (keylen > 0) + for (i = 0; i < 18; i++) + ctx->p[i] ^= key_word(key, keylen, &kpos); + for (i = 0; i < 18; i += 2) { + l ^= key_word(salt, saltlen, &spos); + r ^= key_word(salt, saltlen, &spos); + block_encrypt(ctx, &l, &r); + ctx->p[i] = l; + ctx->p[i + 1] = r; + } + for (i = 0; i < 4; i++) + for (j = 0; j < 256; j += 2) { + l ^= key_word(salt, saltlen, &spos); + r ^= key_word(salt, saltlen, &spos); + block_encrypt(ctx, &l, &r); + ctx->s[i][j] = l; + ctx->s[i][j + 1] = r; + } +} + +void crypton_blowfish_init(crypton_blowfish_ctx *ctx, const uint8_t *key, + uint32_t keylen) +{ + memcpy(ctx->p, initial_p, sizeof(ctx->p)); + memcpy(ctx->s, initial_s, sizeof(ctx->s)); + expand_key(ctx, key, keylen); +} + +void crypton_blowfish_encrypt(const crypton_blowfish_ctx *ctx, uint8_t *out, + const uint8_t *in, uint32_t len) +{ + uint32_t i; + + for (i = 0; i + 8 <= len; i += 8) { + uint32_t l = ((uint32_t) in[i] << 24) | ((uint32_t) in[i + 1] << 16) + | ((uint32_t) in[i + 2] << 8) | (uint32_t) in[i + 3]; + uint32_t r = ((uint32_t) in[i + 4] << 24) + | ((uint32_t) in[i + 5] << 16) + | ((uint32_t) in[i + 6] << 8) | (uint32_t) in[i + 7]; + + block_encrypt(ctx, &l, &r); + out[i] = (uint8_t) (l >> 24); + out[i + 1] = (uint8_t) (l >> 16); + out[i + 2] = (uint8_t) (l >> 8); + out[i + 3] = (uint8_t) l; + out[i + 4] = (uint8_t) (r >> 24); + out[i + 5] = (uint8_t) (r >> 16); + out[i + 6] = (uint8_t) (r >> 8); + out[i + 7] = (uint8_t) r; + } +} + +void crypton_blowfish_decrypt(const crypton_blowfish_ctx *ctx, uint8_t *out, + const uint8_t *in, uint32_t len) +{ + uint32_t i; + + for (i = 0; i + 8 <= len; i += 8) { + uint32_t l = ((uint32_t) in[i] << 24) | ((uint32_t) in[i + 1] << 16) + | ((uint32_t) in[i + 2] << 8) | (uint32_t) in[i + 3]; + uint32_t r = ((uint32_t) in[i + 4] << 24) + | ((uint32_t) in[i + 5] << 16) + | ((uint32_t) in[i + 6] << 8) | (uint32_t) in[i + 7]; + + block_decrypt(ctx, &l, &r); + out[i] = (uint8_t) (l >> 24); + out[i + 1] = (uint8_t) (l >> 16); + out[i + 2] = (uint8_t) (l >> 8); + out[i + 3] = (uint8_t) l; + out[i + 4] = (uint8_t) (r >> 24); + out[i + 5] = (uint8_t) (r >> 16); + out[i + 6] = (uint8_t) (r >> 8); + out[i + 7] = (uint8_t) r; + } +} + +int crypton_bcrypt(uint8_t out[24], uint32_t cost, const uint8_t salt[16], + const uint8_t *key, uint32_t keylen) +{ + /* "OrpheanBeholderScryDoubt", which is what bcrypt encrypts */ + static const uint8_t magic[24] = { + 0x4f, 0x72, 0x70, 0x68, 0x65, 0x61, 0x6e, 0x42, + 0x65, 0x68, 0x6f, 0x6c, 0x64, 0x65, 0x72, 0x53, + 0x63, 0x72, 0x79, 0x44, 0x6f, 0x75, 0x62, 0x74 + }; + crypton_blowfish_ctx ctx; + uint32_t rounds, i; + + if (cost < 4 || cost > 31 || keylen == 0 || keylen > 73) + return -1; + + memcpy(ctx.p, initial_p, sizeof(ctx.p)); + memcpy(ctx.s, initial_s, sizeof(ctx.s)); + expand_key_with_salt(&ctx, key, keylen, salt, 16); + rounds = (uint32_t) 1 << cost; + for (i = 0; i < rounds; i++) { + expand_key(&ctx, key, keylen); + expand_key(&ctx, salt, 16); + } + + memcpy(out, magic, sizeof(magic)); + for (i = 0; i < 64; i++) + crypton_blowfish_encrypt(&ctx, out, out, 24); + + memset(&ctx, 0, sizeof(ctx)); + return 0; +} + +int crypton_bcrypt_pbkdf_hash(uint8_t out[32], const uint8_t *pass, + uint32_t passlen, const uint8_t *salt, + uint32_t saltlen) +{ + /* "OxychromaticBlowfishSwatDynamite", which is what this one encrypts */ + static const uint8_t magic[32] = { + 0x4f, 0x78, 0x79, 0x63, 0x68, 0x72, 0x6f, 0x6d, + 0x61, 0x74, 0x69, 0x63, 0x42, 0x6c, 0x6f, 0x77, + 0x66, 0x69, 0x73, 0x68, 0x53, 0x77, 0x61, 0x74, + 0x44, 0x79, 0x6e, 0x61, 0x6d, 0x69, 0x74, 0x65 + }; + crypton_blowfish_ctx ctx; + uint32_t i, j; + + if (passlen == 0 || saltlen == 0) + return -1; + + memcpy(ctx.p, initial_p, sizeof(ctx.p)); + memcpy(ctx.s, initial_s, sizeof(ctx.s)); + expand_key_with_salt(&ctx, pass, passlen, salt, saltlen); + for (i = 0; i < 64; i++) { + expand_key(&ctx, salt, saltlen); + expand_key(&ctx, pass, passlen); + } + + /* each block encrypted sixty-four times, and stored with each half the + * way round that the original implementation stores it */ + for (i = 0; i < 4; i++) { + uint32_t l = ((uint32_t) magic[8 * i] << 24) + | ((uint32_t) magic[8 * i + 1] << 16) + | ((uint32_t) magic[8 * i + 2] << 8) + | (uint32_t) magic[8 * i + 3]; + uint32_t r = ((uint32_t) magic[8 * i + 4] << 24) + | ((uint32_t) magic[8 * i + 5] << 16) + | ((uint32_t) magic[8 * i + 6] << 8) + | (uint32_t) magic[8 * i + 7]; + + for (j = 0; j < 64; j++) + block_encrypt(&ctx, &l, &r); + out[8 * i] = (uint8_t) l; + out[8 * i + 1] = (uint8_t) (l >> 8); + out[8 * i + 2] = (uint8_t) (l >> 16); + out[8 * i + 3] = (uint8_t) (l >> 24); + out[8 * i + 4] = (uint8_t) r; + out[8 * i + 5] = (uint8_t) (r >> 8); + out[8 * i + 6] = (uint8_t) (r >> 16); + out[8 * i + 7] = (uint8_t) (r >> 24); + } + + memset(&ctx, 0, sizeof(ctx)); + return 0; +} diff --git a/cbits/crypton_blowfish.h b/cbits/crypton_blowfish.h new file mode 100644 --- /dev/null +++ b/cbits/crypton_blowfish.h @@ -0,0 +1,44 @@ +#ifndef CRYPTON_BLOWFISH_H +#define CRYPTON_BLOWFISH_H + +#include + +/* The key schedule: the P array and the four S boxes, which is all the state + * Blowfish has. The caller keeps it; nothing here allocates. */ +typedef struct { + uint32_t p[18]; + uint32_t s[4][256]; +} crypton_blowfish_ctx; + +/* Set a schedule up from a key of keylen bytes, which has to be 1 to 56. */ +void crypton_blowfish_init(crypton_blowfish_ctx *ctx, const uint8_t *key, + uint32_t keylen); + +/* Encrypt or decrypt whole blocks: len has to be a multiple of eight, and out + * may be in. */ +void crypton_blowfish_encrypt(const crypton_blowfish_ctx *ctx, uint8_t *out, + const uint8_t *in, uint32_t len); +void crypton_blowfish_decrypt(const crypton_blowfish_ctx *ctx, uint8_t *out, + const uint8_t *in, uint32_t len); + +/* The whole of what bcrypt does with Blowfish: the key setup that costs what + * the cost says, and then the sixty-four encryptions. Writes 24 bytes, of + * which bcrypt keeps 23. The salt is 16 bytes and the key is the password + * with its terminating zero, 1 to 72 bytes of it. + * + * Returns 0, or -1 for a cost or a length it will not take. + */ +int crypton_bcrypt(uint8_t out[24], uint32_t cost, const uint8_t salt[16], + const uint8_t *key, uint32_t keylen); + +/* What bcrypt_pbkdf does with Blowfish: the same key setup, sixty-four times + * over, and then the four blocks of its own magic. Writes 32 bytes. The two + * hashes it is given are 64 bytes each in the only caller there is. + * + * Returns 0, or -1 for a length it will not take. + */ +int crypton_bcrypt_pbkdf_hash(uint8_t out[32], const uint8_t *pass, + uint32_t passlen, const uint8_t *salt, + uint32_t saltlen); + +#endif diff --git a/cbits/crypton_bzero.h b/cbits/crypton_bzero.h new file mode 100644 --- /dev/null +++ b/cbits/crypton_bzero.h @@ -0,0 +1,27 @@ +/* + * Erasing memory that the compiler is entitled to decide nobody reads. + * + * memset on an object that is about to die -- freed, or a local going out of + * scope -- is a store to memory nothing can observe, and an optimizer may + * drop it. That is the whole reason explicit_bzero and memset_s exist. + * Neither is everywhere, so this writes through a volatile pointer, which the + * standard says cannot be elided. + * + * Use it wherever key material stops being needed. Plain memset is still + * right for memory that is about to be read again. + */ +#ifndef CRYPTON_BZERO_H +#define CRYPTON_BZERO_H + +#include +#include + +static inline void crypton_bzero(void *p, size_t n) +{ + volatile uint8_t *q = (volatile uint8_t *)p; + + while (n--) + *q++ = 0; +} + +#endif diff --git a/cbits/crypton_camellia.c b/cbits/crypton_camellia.c new file mode 100644 --- /dev/null +++ b/cbits/crypton_camellia.c @@ -0,0 +1,697 @@ +/* + * Camellia with a 128-bit key, as RFC 3713 defines it. + * + * SP[i] is generated from that standard: the S-box byte i goes through, spread + * into the positions the P layer sends it to. P is an exclusive-or of bytes, + * so the round function is the exclusive-or of eight lookups. + */ +#include +#include + +static const uint64_t SP[8][256] = { +{ + 0x7070700070000070ULL, 0x8282820082000082ULL, 0x2c2c2c002c00002cULL, 0xececec00ec0000ecULL, + 0xb3b3b300b30000b3ULL, 0x2727270027000027ULL, 0xc0c0c000c00000c0ULL, 0xe5e5e500e50000e5ULL, + 0xe4e4e400e40000e4ULL, 0x8585850085000085ULL, 0x5757570057000057ULL, 0x3535350035000035ULL, + 0xeaeaea00ea0000eaULL, 0x0c0c0c000c00000cULL, 0xaeaeae00ae0000aeULL, 0x4141410041000041ULL, + 0x2323230023000023ULL, 0xefefef00ef0000efULL, 0x6b6b6b006b00006bULL, 0x9393930093000093ULL, + 0x4545450045000045ULL, 0x1919190019000019ULL, 0xa5a5a500a50000a5ULL, 0x2121210021000021ULL, + 0xededed00ed0000edULL, 0x0e0e0e000e00000eULL, 0x4f4f4f004f00004fULL, 0x4e4e4e004e00004eULL, + 0x1d1d1d001d00001dULL, 0x6565650065000065ULL, 0x9292920092000092ULL, 0xbdbdbd00bd0000bdULL, + 0x8686860086000086ULL, 0xb8b8b800b80000b8ULL, 0xafafaf00af0000afULL, 0x8f8f8f008f00008fULL, + 0x7c7c7c007c00007cULL, 0xebebeb00eb0000ebULL, 0x1f1f1f001f00001fULL, 0xcecece00ce0000ceULL, + 0x3e3e3e003e00003eULL, 0x3030300030000030ULL, 0xdcdcdc00dc0000dcULL, 0x5f5f5f005f00005fULL, + 0x5e5e5e005e00005eULL, 0xc5c5c500c50000c5ULL, 0x0b0b0b000b00000bULL, 0x1a1a1a001a00001aULL, + 0xa6a6a600a60000a6ULL, 0xe1e1e100e10000e1ULL, 0x3939390039000039ULL, 0xcacaca00ca0000caULL, + 0xd5d5d500d50000d5ULL, 0x4747470047000047ULL, 0x5d5d5d005d00005dULL, 0x3d3d3d003d00003dULL, + 0xd9d9d900d90000d9ULL, 0x0101010001000001ULL, 0x5a5a5a005a00005aULL, 0xd6d6d600d60000d6ULL, + 0x5151510051000051ULL, 0x5656560056000056ULL, 0x6c6c6c006c00006cULL, 0x4d4d4d004d00004dULL, + 0x8b8b8b008b00008bULL, 0x0d0d0d000d00000dULL, 0x9a9a9a009a00009aULL, 0x6666660066000066ULL, + 0xfbfbfb00fb0000fbULL, 0xcccccc00cc0000ccULL, 0xb0b0b000b00000b0ULL, 0x2d2d2d002d00002dULL, + 0x7474740074000074ULL, 0x1212120012000012ULL, 0x2b2b2b002b00002bULL, 0x2020200020000020ULL, + 0xf0f0f000f00000f0ULL, 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0x4b4b004b4b4b004bULL, 0xbebe00bebebe00beULL, 0x2e2e002e2e2e002eULL, + 0x7979007979790079ULL, 0x8c8c008c8c8c008cULL, 0x6e6e006e6e6e006eULL, 0x8e8e008e8e8e008eULL, + 0xf5f500f5f5f500f5ULL, 0xb6b600b6b6b600b6ULL, 0xfdfd00fdfdfd00fdULL, 0x5959005959590059ULL, + 0x9898009898980098ULL, 0x6a6a006a6a6a006aULL, 0x4646004646460046ULL, 0xbaba00bababa00baULL, + 0x2525002525250025ULL, 0x4242004242420042ULL, 0xa2a200a2a2a200a2ULL, 0xfafa00fafafa00faULL, + 0x0707000707070007ULL, 0x5555005555550055ULL, 0xeeee00eeeeee00eeULL, 0x0a0a000a0a0a000aULL, + 0x4949004949490049ULL, 0x6868006868680068ULL, 0x3838003838380038ULL, 0xa4a400a4a4a400a4ULL, + 0x2828002828280028ULL, 0x7b7b007b7b7b007bULL, 0xc9c900c9c9c900c9ULL, 0xc1c100c1c1c100c1ULL, + 0xe3e300e3e3e300e3ULL, 0xf4f400f4f4f400f4ULL, 0xc7c700c7c7c700c7ULL, 0x9e9e009e9e9e009eULL, +}, +{ + 0x7070700070707000ULL, 0x8282820082828200ULL, 0x2c2c2c002c2c2c00ULL, 0xececec00ececec00ULL, + 0xb3b3b300b3b3b300ULL, 0x2727270027272700ULL, 0xc0c0c000c0c0c000ULL, 0xe5e5e500e5e5e500ULL, + 0xe4e4e400e4e4e400ULL, 0x8585850085858500ULL, 0x5757570057575700ULL, 0x3535350035353500ULL, + 0xeaeaea00eaeaea00ULL, 0x0c0c0c000c0c0c00ULL, 0xaeaeae00aeaeae00ULL, 0x4141410041414100ULL, + 0x2323230023232300ULL, 0xefefef00efefef00ULL, 0x6b6b6b006b6b6b00ULL, 0x9393930093939300ULL, + 0x4545450045454500ULL, 0x1919190019191900ULL, 0xa5a5a500a5a5a500ULL, 0x2121210021212100ULL, + 0xededed00ededed00ULL, 0x0e0e0e000e0e0e00ULL, 0x4f4f4f004f4f4f00ULL, 0x4e4e4e004e4e4e00ULL, + 0x1d1d1d001d1d1d00ULL, 0x6565650065656500ULL, 0x9292920092929200ULL, 0xbdbdbd00bdbdbd00ULL, + 0x8686860086868600ULL, 0xb8b8b800b8b8b800ULL, 0xafafaf00afafaf00ULL, 0x8f8f8f008f8f8f00ULL, + 0x7c7c7c007c7c7c00ULL, 0xebebeb00ebebeb00ULL, 0x1f1f1f001f1f1f00ULL, 0xcecece00cecece00ULL, + 0x3e3e3e003e3e3e00ULL, 0x3030300030303000ULL, 0xdcdcdc00dcdcdc00ULL, 0x5f5f5f005f5f5f00ULL, + 0x5e5e5e005e5e5e00ULL, 0xc5c5c500c5c5c500ULL, 0x0b0b0b000b0b0b00ULL, 0x1a1a1a001a1a1a00ULL, + 0xa6a6a600a6a6a600ULL, 0xe1e1e100e1e1e100ULL, 0x3939390039393900ULL, 0xcacaca00cacaca00ULL, + 0xd5d5d500d5d5d500ULL, 0x4747470047474700ULL, 0x5d5d5d005d5d5d00ULL, 0x3d3d3d003d3d3d00ULL, + 0xd9d9d900d9d9d900ULL, 0x0101010001010100ULL, 0x5a5a5a005a5a5a00ULL, 0xd6d6d600d6d6d600ULL, + 0x5151510051515100ULL, 0x5656560056565600ULL, 0x6c6c6c006c6c6c00ULL, 0x4d4d4d004d4d4d00ULL, + 0x8b8b8b008b8b8b00ULL, 0x0d0d0d000d0d0d00ULL, 0x9a9a9a009a9a9a00ULL, 0x6666660066666600ULL, + 0xfbfbfb00fbfbfb00ULL, 0xcccccc00cccccc00ULL, 0xb0b0b000b0b0b000ULL, 0x2d2d2d002d2d2d00ULL, + 0x7474740074747400ULL, 0x1212120012121200ULL, 0x2b2b2b002b2b2b00ULL, 0x2020200020202000ULL, + 0xf0f0f000f0f0f000ULL, 0xb1b1b100b1b1b100ULL, 0x8484840084848400ULL, 0x9999990099999900ULL, + 0xdfdfdf00dfdfdf00ULL, 0x4c4c4c004c4c4c00ULL, 0xcbcbcb00cbcbcb00ULL, 0xc2c2c200c2c2c200ULL, + 0x3434340034343400ULL, 0x7e7e7e007e7e7e00ULL, 0x7676760076767600ULL, 0x0505050005050500ULL, + 0x6d6d6d006d6d6d00ULL, 0xb7b7b700b7b7b700ULL, 0xa9a9a900a9a9a900ULL, 0x3131310031313100ULL, + 0xd1d1d100d1d1d100ULL, 0x1717170017171700ULL, 0x0404040004040400ULL, 0xd7d7d700d7d7d700ULL, + 0x1414140014141400ULL, 0x5858580058585800ULL, 0x3a3a3a003a3a3a00ULL, 0x6161610061616100ULL, + 0xdedede00dedede00ULL, 0x1b1b1b001b1b1b00ULL, 0x1111110011111100ULL, 0x1c1c1c001c1c1c00ULL, + 0x3232320032323200ULL, 0x0f0f0f000f0f0f00ULL, 0x9c9c9c009c9c9c00ULL, 0x1616160016161600ULL, + 0x5353530053535300ULL, 0x1818180018181800ULL, 0xf2f2f200f2f2f200ULL, 0x2222220022222200ULL, + 0xfefefe00fefefe00ULL, 0x4444440044444400ULL, 0xcfcfcf00cfcfcf00ULL, 0xb2b2b200b2b2b200ULL, + 0xc3c3c300c3c3c300ULL, 0xb5b5b500b5b5b500ULL, 0x7a7a7a007a7a7a00ULL, 0x9191910091919100ULL, + 0x2424240024242400ULL, 0x0808080008080800ULL, 0xe8e8e800e8e8e800ULL, 0xa8a8a800a8a8a800ULL, + 0x6060600060606000ULL, 0xfcfcfc00fcfcfc00ULL, 0x6969690069696900ULL, 0x5050500050505000ULL, + 0xaaaaaa00aaaaaa00ULL, 0xd0d0d000d0d0d000ULL, 0xa0a0a000a0a0a000ULL, 0x7d7d7d007d7d7d00ULL, + 0xa1a1a100a1a1a100ULL, 0x8989890089898900ULL, 0x6262620062626200ULL, 0x9797970097979700ULL, + 0x5454540054545400ULL, 0x5b5b5b005b5b5b00ULL, 0x1e1e1e001e1e1e00ULL, 0x9595950095959500ULL, + 0xe0e0e000e0e0e000ULL, 0xffffff00ffffff00ULL, 0x6464640064646400ULL, 0xd2d2d200d2d2d200ULL, + 0x1010100010101000ULL, 0xc4c4c400c4c4c400ULL, 0x0000000000000000ULL, 0x4848480048484800ULL, + 0xa3a3a300a3a3a300ULL, 0xf7f7f700f7f7f700ULL, 0x7575750075757500ULL, 0xdbdbdb00dbdbdb00ULL, + 0x8a8a8a008a8a8a00ULL, 0x0303030003030300ULL, 0xe6e6e600e6e6e600ULL, 0xdadada00dadada00ULL, + 0x0909090009090900ULL, 0x3f3f3f003f3f3f00ULL, 0xdddddd00dddddd00ULL, 0x9494940094949400ULL, + 0x8787870087878700ULL, 0x5c5c5c005c5c5c00ULL, 0x8383830083838300ULL, 0x0202020002020200ULL, + 0xcdcdcd00cdcdcd00ULL, 0x4a4a4a004a4a4a00ULL, 0x9090900090909000ULL, 0x3333330033333300ULL, + 0x7373730073737300ULL, 0x6767670067676700ULL, 0xf6f6f600f6f6f600ULL, 0xf3f3f300f3f3f300ULL, + 0x9d9d9d009d9d9d00ULL, 0x7f7f7f007f7f7f00ULL, 0xbfbfbf00bfbfbf00ULL, 0xe2e2e200e2e2e200ULL, + 0x5252520052525200ULL, 0x9b9b9b009b9b9b00ULL, 0xd8d8d800d8d8d800ULL, 0x2626260026262600ULL, + 0xc8c8c800c8c8c800ULL, 0x3737370037373700ULL, 0xc6c6c600c6c6c600ULL, 0x3b3b3b003b3b3b00ULL, + 0x8181810081818100ULL, 0x9696960096969600ULL, 0x6f6f6f006f6f6f00ULL, 0x4b4b4b004b4b4b00ULL, + 0x1313130013131300ULL, 0xbebebe00bebebe00ULL, 0x6363630063636300ULL, 0x2e2e2e002e2e2e00ULL, + 0xe9e9e900e9e9e900ULL, 0x7979790079797900ULL, 0xa7a7a700a7a7a700ULL, 0x8c8c8c008c8c8c00ULL, + 0x9f9f9f009f9f9f00ULL, 0x6e6e6e006e6e6e00ULL, 0xbcbcbc00bcbcbc00ULL, 0x8e8e8e008e8e8e00ULL, + 0x2929290029292900ULL, 0xf5f5f500f5f5f500ULL, 0xf9f9f900f9f9f900ULL, 0xb6b6b600b6b6b600ULL, + 0x2f2f2f002f2f2f00ULL, 0xfdfdfd00fdfdfd00ULL, 0xb4b4b400b4b4b400ULL, 0x5959590059595900ULL, + 0x7878780078787800ULL, 0x9898980098989800ULL, 0x0606060006060600ULL, 0x6a6a6a006a6a6a00ULL, + 0xe7e7e700e7e7e700ULL, 0x4646460046464600ULL, 0x7171710071717100ULL, 0xbababa00bababa00ULL, + 0xd4d4d400d4d4d400ULL, 0x2525250025252500ULL, 0xababab00ababab00ULL, 0x4242420042424200ULL, + 0x8888880088888800ULL, 0xa2a2a200a2a2a200ULL, 0x8d8d8d008d8d8d00ULL, 0xfafafa00fafafa00ULL, + 0x7272720072727200ULL, 0x0707070007070700ULL, 0xb9b9b900b9b9b900ULL, 0x5555550055555500ULL, + 0xf8f8f800f8f8f800ULL, 0xeeeeee00eeeeee00ULL, 0xacacac00acacac00ULL, 0x0a0a0a000a0a0a00ULL, + 0x3636360036363600ULL, 0x4949490049494900ULL, 0x2a2a2a002a2a2a00ULL, 0x6868680068686800ULL, + 0x3c3c3c003c3c3c00ULL, 0x3838380038383800ULL, 0xf1f1f100f1f1f100ULL, 0xa4a4a400a4a4a400ULL, + 0x4040400040404000ULL, 0x2828280028282800ULL, 0xd3d3d300d3d3d300ULL, 0x7b7b7b007b7b7b00ULL, + 0xbbbbbb00bbbbbb00ULL, 0xc9c9c900c9c9c900ULL, 0x4343430043434300ULL, 0xc1c1c100c1c1c100ULL, + 0x1515150015151500ULL, 0xe3e3e300e3e3e300ULL, 0xadadad00adadad00ULL, 0xf4f4f400f4f4f400ULL, + 0x7777770077777700ULL, 0xc7c7c700c7c7c700ULL, 0x8080800080808000ULL, 0x9e9e9e009e9e9e00ULL, +}, +}; + +static const uint64_t SIGMA[6] = { + 0xA09E667F3BCC908BULL, 0xB67AE8584CAA73B2ULL, 0xC6EF372FE94F82BEULL, + 0x54FF53A5F1D36F1CULL, 0x10E527FADE682D1DULL, 0xB05688C2B3E6C1FDULL +}; + +static inline uint64_t load_be64(const uint8_t *p) +{ + return ((uint64_t) p[0] << 56) | ((uint64_t) p[1] << 48) + | ((uint64_t) p[2] << 40) | ((uint64_t) p[3] << 32) + | ((uint64_t) p[4] << 24) | ((uint64_t) p[5] << 16) + | ((uint64_t) p[6] << 8) | ((uint64_t) p[7]); +} + +static inline void store_be64(uint8_t *p, uint64_t v) +{ + p[0] = (uint8_t) (v >> 56); p[1] = (uint8_t) (v >> 48); + p[2] = (uint8_t) (v >> 40); p[3] = (uint8_t) (v >> 32); + p[4] = (uint8_t) (v >> 24); p[5] = (uint8_t) (v >> 16); + p[6] = (uint8_t) (v >> 8); p[7] = (uint8_t) v; +} + +static inline uint64_t camellia_f(uint64_t fin, uint64_t ke) +{ + uint64_t x = fin ^ ke; + return SP[0][(x >> 56) & 0xff] ^ SP[1][(x >> 48) & 0xff] + ^ SP[2][(x >> 40) & 0xff] ^ SP[3][(x >> 32) & 0xff] + ^ SP[4][(x >> 24) & 0xff] ^ SP[5][(x >> 16) & 0xff] + ^ SP[6][(x >> 8) & 0xff] ^ SP[7][ x & 0xff]; +} + +static inline uint32_t rotl32(uint32_t v, int n) +{ + return (v << n) | (v >> (32 - n)); +} + +static inline uint64_t camellia_fl(uint64_t fin, uint64_t ke) +{ + uint32_t x1 = (uint32_t) (fin >> 32), x2 = (uint32_t) fin; + uint32_t k1 = (uint32_t) (ke >> 32), k2 = (uint32_t) ke; + + x2 ^= rotl32(x1 & k1, 1); + x1 ^= (x2 | k2); + return ((uint64_t) x1 << 32) | x2; +} + +static inline uint64_t camellia_flinv(uint64_t fin, uint64_t ke) +{ + uint32_t y1 = (uint32_t) (fin >> 32), y2 = (uint32_t) fin; + uint32_t k1 = (uint32_t) (ke >> 32), k2 = (uint32_t) ke; + + y1 ^= (y2 | k2); + y2 ^= rotl32(y1 & k1, 1); + return ((uint64_t) y1 << 32) | y2; +} + +/* the halves of a 128-bit value rotated left by n, 0 < n < 128 */ +static void rotl128(uint64_t hi, uint64_t lo, int n, uint64_t *rhi, uint64_t *rlo) +{ + if (n >= 64) { + uint64_t t = hi; + hi = lo; + lo = t; + n -= 64; + } + if (n == 0) { + *rhi = hi; + *rlo = lo; + } else { + *rhi = (hi << n) | (lo >> (64 - n)); + *rlo = (lo << n) | (hi >> (64 - n)); + } +} + +void crypton_camellia_init(crypton_camellia_key *ks, const uint8_t *key) +{ + uint64_t klhi = load_be64(key), kllo = load_be64(key + 8); + uint64_t d1 = klhi, d2 = kllo, kahi, kalo, hi, lo; + + d2 ^= camellia_f(d1, SIGMA[0]); + d1 ^= camellia_f(d2, SIGMA[1]); + d1 ^= klhi; + d2 ^= kllo; + d2 ^= camellia_f(d1, SIGMA[2]); + d1 ^= camellia_f(d2, SIGMA[3]); + kahi = d1; + kalo = d2; + + ks->kw[0] = klhi; + ks->kw[1] = kllo; + ks->k[0] = kahi; + ks->k[1] = kalo; + rotl128(klhi, kllo, 15, &hi, &lo); ks->k[2] = hi; ks->k[3] = lo; + rotl128(kahi, kalo, 15, &hi, &lo); ks->k[4] = hi; ks->k[5] = lo; + rotl128(kahi, kalo, 30, &hi, &lo); ks->ke[0] = hi; ks->ke[1] = lo; + rotl128(klhi, kllo, 45, &hi, &lo); ks->k[6] = hi; ks->k[7] = lo; + rotl128(kahi, kalo, 45, &hi, &lo); ks->k[8] = hi; + rotl128(klhi, kllo, 60, &hi, &lo); ks->k[9] = lo; + rotl128(kahi, kalo, 60, &hi, &lo); ks->k[10] = hi; ks->k[11] = lo; + rotl128(klhi, kllo, 77, &hi, &lo); ks->ke[2] = hi; ks->ke[3] = lo; + rotl128(klhi, kllo, 94, &hi, &lo); ks->k[12] = hi; ks->k[13] = lo; + rotl128(kahi, kalo, 94, &hi, &lo); ks->k[14] = hi; ks->k[15] = lo; + rotl128(klhi, kllo, 111, &hi, &lo); ks->k[16] = hi; ks->k[17] = lo; + rotl128(kahi, kalo, 111, &hi, &lo); ks->kw[2] = hi; ks->kw[3] = lo; +} + +static void camellia_crypt(uint8_t *out, const uint64_t kw[4], const uint64_t k[18], + const uint64_t ke[4], const uint8_t *in, uint32_t nblocks) +{ + uint32_t i; + + for (i = 0; i < nblocks; i++) { + uint64_t d1 = load_be64(in + 16 * i) ^ kw[0]; + uint64_t d2 = load_be64(in + 16 * i + 8) ^ kw[1]; + int base; + + for (base = 0; base <= 12; base += 6) { + d2 ^= camellia_f(d1, k[base + 0]); + d1 ^= camellia_f(d2, k[base + 1]); + d2 ^= camellia_f(d1, k[base + 2]); + d1 ^= camellia_f(d2, k[base + 3]); + d2 ^= camellia_f(d1, k[base + 4]); + d1 ^= camellia_f(d2, k[base + 5]); + if (base == 0) { + d1 = camellia_fl(d1, ke[0]); + d2 = camellia_flinv(d2, ke[1]); + } else if (base == 6) { + d1 = camellia_fl(d1, ke[2]); + d2 = camellia_flinv(d2, ke[3]); + } + } + + store_be64(out + 16 * i, d2 ^ kw[2]); + store_be64(out + 16 * i + 8, d1 ^ kw[3]); + } +} + +void crypton_camellia_encrypt(uint8_t *out, const crypton_camellia_key *ks, + const uint8_t *in, uint32_t nblocks) +{ + camellia_crypt(out, ks->kw, ks->k, ks->ke, in, nblocks); +} + +/* Decryption is the same rounds with the subkeys the other way round. */ +void crypton_camellia_decrypt(uint8_t *out, const crypton_camellia_key *ks, + const uint8_t *in, uint32_t nblocks) +{ + uint64_t kw[4], k[18], ke[4]; + int i; + + kw[0] = ks->kw[2]; kw[1] = ks->kw[3]; kw[2] = ks->kw[0]; kw[3] = ks->kw[1]; + for (i = 0; i < 18; i++) + k[i] = ks->k[17 - i]; + for (i = 0; i < 4; i++) + ke[i] = ks->ke[3 - i]; + camellia_crypt(out, kw, k, ke, in, nblocks); +} diff --git a/cbits/crypton_camellia.h b/cbits/crypton_camellia.h new file mode 100644 --- /dev/null +++ b/cbits/crypton_camellia.h @@ -0,0 +1,21 @@ +#ifndef CRYPTON_CAMELLIA_H +#define CRYPTON_CAMELLIA_H + +#include + +/* the subkeys of RFC 3713 section 2.2, for a 128-bit key */ +typedef struct { + uint64_t kw[4]; + uint64_t k[18]; + uint64_t ke[4]; +} crypton_camellia_key; + +void crypton_camellia_init(crypton_camellia_key *ks, const uint8_t *key); + +void crypton_camellia_encrypt(uint8_t *out, const crypton_camellia_key *ks, + const uint8_t *in, uint32_t nblocks); + +void crypton_camellia_decrypt(uint8_t *out, const crypton_camellia_key *ks, + const uint8_t *in, uint32_t nblocks); + +#endif diff --git a/cbits/crypton_chacha.c b/cbits/crypton_chacha.c --- a/cbits/crypton_chacha.c +++ b/cbits/crypton_chacha.c @@ -35,6 +35,71 @@ #include "crypton_align.h" #include +/* + * Four blocks at a time with whichever vector unit the target has: NEON in + * chacha_neon.c, SSE2 in chacha_sse2.c. Both present the same two entry + * points, so there is one path here. + * + * The state words are held little-endian -- the core below reads them + * without converting -- so the vector versions, which also do not convert, + * are left out on a big-endian machine. + */ +#if (defined(WITH_ARMV8_NEON) && !defined(__AARCH64EB__)) || defined(WITH_X86_SSE2) +#define CHACHA_SIMD 1 +int crypton_chacha_simd_width(void); +void crypton_chacha_simd_combine(int rounds, uint8_t *dst, const uint8_t *src, + const crypton_chacha_state *in); +void crypton_chacha_simd_generate(int rounds, uint8_t *dst, + const crypton_chacha_state *in); +/* The counters in a group must not carry into d[13], which the crypton_chacha_block loop + * below handles and the vector one does not; that is one run in 2^29. */ +#define CHACHA_SIMD_OK(st, n) ((st)->d[12] <= 0xffffffffU - (uint32_t) (n)) +#endif + +/* + * ChaCha20 from CRYPTOGAMS, in cbits/asm/chacha-armv8-*.S. It keeps four + * vector blocks and a fifth in the general registers in flight at once, or + * six and two above 512 bytes, which is more than the intrinsics above can + * be made to do: the vector registers hold four states and there is no room + * for another, so the extra parallelism has to come from the integer side, + * and that means saying which register holds what. + * + * Twenty rounds and the 256-bit constants are built into it, and it takes + * the counter as 32 bits wide, so it is given only the states it fits. + */ +#if (defined(WITH_ARMV8_CHACHA_ASM) && !defined(__AARCH64EB__)) \ + || defined(WITH_X86_CHACHA_ASM) +#define CHACHA_ASM 1 +#include "crypton_cpu.h" +void crypton_chacha20_asm_ctr32(uint8_t *out, const uint8_t *in, size_t len, + const uint32_t key[8], const uint32_t counter[4]); + +/* crypton_cpu.c defines the crypton_armcap_P that the assembly reads to + * find out whether the processor has NEON. */ + +/* The four words at the head of the state are the constants that go with a + * 256-bit key, and the assembly has only those. */ +static int chacha_asm_state(const crypton_chacha_state *st) +{ + return st->d[0] == 0x61707865 && st->d[1] == 0x3320646e + && st->d[2] == 0x79622d32 && st->d[3] == 0x6b206574; +} + +/* + * How much is worth handing over. On AArch64 the module's vector path + * starts at three blocks and below that its scalar path measures level with + * the C here, so there is nothing to gain; on x86-64 it is ahead from one + * crypton_chacha_block, the C there having no vector path until eight. + */ +#ifndef CHACHA_ASM_MIN_BLOCKS +#ifdef WITH_X86_CHACHA_ASM +#define CHACHA_ASM_MIN_BLOCKS 1 +#else +#define CHACHA_ASM_MIN_BLOCKS 3 +#endif +#endif +#endif + #define QR(a,b,c,d) \ a += b; d = rol32(d ^ a,16); \ c += d; b = rol32(b ^ c,12); \ @@ -47,7 +112,7 @@ static const uint8_t sigma[16] = "expand 32-byte k"; static const uint8_t tau[16] = "expand 16-byte k"; -static void chacha_core(int rounds, block *out, const crypton_chacha_state *in) +static void chacha_core(int rounds, crypton_chacha_block *out, const crypton_chacha_state *in) { uint32_t x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15; int i; @@ -231,7 +296,7 @@ void crypton_chacha_combine(uint8_t *dst, crypton_chacha_context *ctx, const uint8_t *src, uint32_t bytes) { - block out; + crypton_chacha_block out; crypton_chacha_state *st; int i; @@ -256,13 +321,53 @@ st = &ctx->st; +#ifdef CHACHA_ASM + if (ctx->nb_rounds == 20 && chacha_asm_state(st)) { + uint32_t blocks = bytes / 64; + + /* the counter is the caller's to advance, and the assembly + * carries it no further than its own 32 bits */ + if (blocks > 0xffffffffU - st->d[12]) + blocks = 0xffffffffU - st->d[12]; + if (blocks >= CHACHA_ASM_MIN_BLOCKS) { + const uint32_t done = blocks * 64; + +#ifdef CRYPTON_X86_ASM + /* what the module dispatches on, which it reads + * directly; resolved once */ + crypton_x86_ia32cap_resolve(); +#endif + crypton_chacha20_asm_ctr32(dst, src, done, &st->d[4], + &st->d[12]); + st->d[12] += blocks; + bytes -= done; src += done; dst += done; + } + } +#endif + +#ifdef CHACHA_SIMD + { + const uint32_t nb = (uint32_t) crypton_chacha_simd_width(); + const uint32_t step = 64 * nb; + + while (bytes >= step && CHACHA_SIMD_OK(st, nb)) { + crypton_chacha_simd_combine(ctx->nb_rounds, dst, src, st); + st->d[12] += nb; + bytes -= step; src += step; dst += step; + } + } +#endif + /* xor new 64-bytes chunks and store the left over if any */ for (; bytes >= 64; bytes -= 64, src += 64, dst += 64) { /* generate new chunk and update state */ chacha_core(ctx->nb_rounds, &out, st); - st->d[12] += 1; - if (st->d[12] == 0) - st->d[13] += 1; + uint32_t t0 = le32_to_cpu(st->d[12]); + st->d[12] = cpu_to_le32(t0 + 1); + if (st->d[12] == 0) { + uint32_t t1 = le32_to_cpu(st->d[13]); + st->d[13] = cpu_to_le32(t1 + 1); + } for (i = 0; i < 64; ++i) dst[i] = src[i] ^ out.b[i]; @@ -271,14 +376,17 @@ if (bytes > 0) { /* generate new chunk and update state */ chacha_core(ctx->nb_rounds, &out, st); - st->d[12] += 1; - if (st->d[12] == 0) - st->d[13] += 1; + uint32_t t0 = le32_to_cpu(st->d[12]); + st->d[12] = cpu_to_le32(t0 + 1); + if (st->d[12] == 0) { + uint32_t t1 = le32_to_cpu(st->d[13]); + st->d[13] = cpu_to_le32(t1 + 1); + } /* xor as much as needed */ for (i = 0; i < bytes; i++) dst[i] = src[i] ^ out.b[i]; - + /* copy the left over in the buffer */ ctx->prev_len = 64 - bytes; ctx->prev_ofs = i; @@ -288,10 +396,45 @@ } } +uint64_t crypton_chacha_counter64(crypton_chacha_state *st) +{ + uint64_t result = ((uint64_t) le32_to_cpu(st->d[12])) + | (((uint64_t) le32_to_cpu(st->d[13])) << 32); + return result; +} + +uint32_t crypton_chacha_counter32(crypton_chacha_state *st) +{ + return le32_to_cpu(st->d[12]); +} + +void crypton_chacha_set_counter64(crypton_chacha_state *st, uint64_t block_counter) +{ + uint64_t current_counter; + current_counter = ((uint64_t) le32_to_cpu(st->d[12])) + | (((uint64_t) le32_to_cpu(st->d[13])) << 32); + + if (current_counter == block_counter) + return; + + st->d[12] = cpu_to_le32((uint32_t) block_counter); + st->d[13] = cpu_to_le32((uint32_t) (block_counter >> 32)); +} + +void crypton_chacha_set_counter32(crypton_chacha_state *st, uint32_t block_counter) +{ + uint32_t current_counter = le32_to_cpu(st->d[12]); + + if (current_counter == block_counter) + return; + + st->d[12] = cpu_to_le32(block_counter); +} + void crypton_chacha_generate(uint8_t *dst, crypton_chacha_context *ctx, uint32_t bytes) { crypton_chacha_state *st; - block out; + crypton_chacha_block out; int i; if (!bytes) @@ -314,23 +457,42 @@ st = &ctx->st; +#ifdef CHACHA_SIMD + { + const uint32_t nb = (uint32_t) crypton_chacha_simd_width(); + const uint32_t step = 64 * nb; + + while (bytes >= step && CHACHA_SIMD_OK(st, nb)) { + crypton_chacha_simd_generate(ctx->nb_rounds, dst, st); + st->d[12] += nb; + bytes -= step; dst += step; + } + } +#endif + if (ALIGNED64(dst)) { /* xor new 64-bytes chunks and store the left over if any */ for (; bytes >= 64; bytes -= 64, dst += 64) { /* generate new chunk and update state */ - chacha_core(ctx->nb_rounds, (block *) dst, st); - st->d[12] += 1; - if (st->d[12] == 0) - st->d[13] += 1; + chacha_core(ctx->nb_rounds, (crypton_chacha_block *) dst, st); + uint32_t t0 = le32_to_cpu(st->d[12]); + st->d[12] = cpu_to_le32(t0 + 1); + if (st->d[12] == 0) { + uint32_t t1 = le32_to_cpu(st->d[13]); + st->d[13] = cpu_to_le32(t1 + 1); + } } } else { /* xor new 64-bytes chunks and store the left over if any */ for (; bytes >= 64; bytes -= 64, dst += 64) { /* generate new chunk and update state */ chacha_core(ctx->nb_rounds, &out, st); - st->d[12] += 1; - if (st->d[12] == 0) - st->d[13] += 1; + uint32_t t0 = le32_to_cpu(st->d[12]); + st->d[12] = cpu_to_le32(t0 + 1); + if (st->d[12] == 0) { + uint32_t t1 = le32_to_cpu(st->d[13]); + st->d[13] = cpu_to_le32(t1 + 1); + } for (i = 0; i < 64; ++i) dst[i] = out.b[i]; @@ -340,14 +502,17 @@ if (bytes > 0) { /* generate new chunk and update state */ chacha_core(ctx->nb_rounds, &out, st); - st->d[12] += 1; - if (st->d[12] == 0) - st->d[13] += 1; + uint32_t t0 = le32_to_cpu(st->d[12]); + st->d[12] = cpu_to_le32(t0 + 1); + if (st->d[12] == 0) { + uint32_t t1 = le32_to_cpu(st->d[13]); + st->d[13] = cpu_to_le32(t1 + 1); + } /* xor as much as needed */ for (i = 0; i < bytes; i++) dst[i] = out.b[i]; - + /* copy the left over in the buffer */ ctx->prev_len = 64 - bytes; ctx->prev_ofs = i; @@ -356,9 +521,30 @@ } } +void crypton_chacha_generate_simple_block(uint8_t *dst, crypton_chacha_state *st, uint8_t rounds) +{ + if (ALIGNED64(dst)) { + chacha_core(rounds, (crypton_chacha_block *) dst, st); + } else { + crypton_chacha_block out; + int i; + chacha_core(rounds, &out, st); + for (i = 0; i < 64; ++i) { + dst[i] = out.b[i]; + } + } + + uint32_t t0 = le32_to_cpu(st->d[12]); + st->d[12] = cpu_to_le32(t0 + 1); + if (st->d[12] == 0) { + uint32_t t1 = le32_to_cpu(st->d[13]); + st->d[13] = cpu_to_le32(t1 + 1); + } +} + void crypton_chacha_random(uint32_t rounds, uint8_t *dst, crypton_chacha_state *st, uint32_t bytes) { - block out; + crypton_chacha_block out; if (!bytes) return; diff --git a/cbits/crypton_chacha.h b/cbits/crypton_chacha.h --- a/cbits/crypton_chacha.h +++ b/cbits/crypton_chacha.h @@ -34,9 +34,9 @@ uint64_t q[8]; uint32_t d[16]; uint8_t b[64]; -} block; +} crypton_chacha_block; -typedef block crypton_chacha_state; +typedef crypton_chacha_block crypton_chacha_state; typedef struct { crypton_chacha_state st; @@ -51,5 +51,10 @@ void crypton_xchacha_init(crypton_chacha_context *ctx, uint8_t nb_rounds, const uint8_t *key, const uint8_t *iv); void crypton_chacha_combine(uint8_t *dst, crypton_chacha_context *st, const uint8_t *src, uint32_t bytes); void crypton_chacha_generate(uint8_t *dst, crypton_chacha_context *st, uint32_t bytes); - +uint64_t crypton_chacha_counter64(crypton_chacha_state *st); +uint32_t crypton_chacha_counter32(crypton_chacha_state *st); +void crypton_chacha_set_counter64(crypton_chacha_state *st, uint64_t block_counter); +void crypton_chacha_set_counter32(crypton_chacha_state *st, uint32_t block_counter); +void crypton_chacha_generate_simple_block(uint8_t *dst, crypton_chacha_state *st, uint8_t rounds); +#define crypton_chacha_get_state(context) (&((crypton_chacha_context *) context)->st) #endif diff --git a/cbits/crypton_chachapoly.c b/cbits/crypton_chachapoly.c new file mode 100644 --- /dev/null +++ b/cbits/crypton_chachapoly.c @@ -0,0 +1,156 @@ +/* + * Copyright (c) 2026 Kazu Yamamoto + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE AUTHORS AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHORS OR CONTRIBUTORS + * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR + * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF + * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS + * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN + * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) + * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE + * POSSIBILITY OF SUCH DAMAGE. + */ + +#include +#include + +#include "crypton_chacha.h" +#include "crypton_chachapoly.h" +#include "crypton_poly1305.h" + +/* RFC 8439. The one-time Poly1305 key is the first 32 bytes of the ChaCha20 + * keystream at counter 0; a whole 64-byte block is generated so the counter + * lands on 1, which is where the message starts. */ +static void chachapoly_start(crypton_chacha_context *cctx, poly1305_ctx *pctx, + const uint8_t *key, + const uint8_t *nonce, uint32_t noncelen) +{ + uint8_t block[64]; + + crypton_chacha_init(cctx, 20, 32, key, noncelen, nonce); + crypton_chacha_generate(block, cctx, sizeof(block)); + crypton_poly1305_init(pctx, (poly1305_key *) block); + memset(block, 0, sizeof(block)); +} + +/* Poly1305 over an associated or encrypted part, then zeros up to the next + * multiple of sixteen. */ +static void absorb_padded(poly1305_ctx *pctx, const uint8_t *p, uint32_t len) +{ + static const uint8_t zeros[16] = {0}; + uint32_t rem; + + if (len) + crypton_poly1305_update(pctx, (uint8_t *) p, len); + rem = len % 16; + if (rem) + crypton_poly1305_update(pctx, (uint8_t *) zeros, 16 - rem); +} + +/* The two lengths, little endian, eight bytes each, which is what the tag + * ends on. */ +static void absorb_lengths(poly1305_ctx *pctx, uint32_t aadlen, uint32_t inlen) +{ + uint8_t lens[16]; + int i; + + for (i = 0; i < 8; i++) + lens[i] = (uint8_t) (((uint64_t) aadlen) >> (8 * i)); + for (i = 0; i < 8; i++) + lens[8 + i] = (uint8_t) (((uint64_t) inlen) >> (8 * i)); + crypton_poly1305_update(pctx, lens, sizeof(lens)); +} + +void crypton_chachapoly_encrypt(uint8_t *out, uint8_t *tag, uint32_t taglen, + const uint8_t *key, + const uint8_t *nonce, uint32_t noncelen, + const uint8_t *aad, uint32_t aadlen, + const uint8_t *input, uint32_t inlen) +{ + crypton_chacha_context cctx; + poly1305_ctx pctx; + poly1305_mac mac; + + chachapoly_start(&cctx, &pctx, key, nonce, noncelen); + absorb_padded(&pctx, aad, aadlen); + if (inlen) + crypton_chacha_combine(out, &cctx, input, inlen); + /* what the tag covers is the ciphertext, which is now in out */ + absorb_padded(&pctx, out, inlen); + absorb_lengths(&pctx, aadlen, inlen); + crypton_poly1305_finalize(mac, &pctx); + memcpy(tag, mac, taglen); + + memset(&cctx, 0, sizeof(cctx)); + memset(&pctx, 0, sizeof(pctx)); +} + +/* Shared by the two decrypting entry points: with outtag NULL the tag is + * compared here and the answer returned, otherwise it is written there. */ +static int chachapoly_decrypt(uint8_t *out, const uint8_t *tag, uint32_t taglen, + uint8_t *outtag, const uint8_t *key, + const uint8_t *nonce, uint32_t noncelen, + const uint8_t *aad, uint32_t aadlen, + const uint8_t *input, uint32_t inlen) +{ + crypton_chacha_context cctx; + poly1305_ctx pctx; + poly1305_mac mac; + uint8_t diff = 0; + uint32_t i; + + chachapoly_start(&cctx, &pctx, key, nonce, noncelen); + absorb_padded(&pctx, aad, aadlen); + /* here the ciphertext is the input, so the tag can be taken before the + * plaintext is written and out may alias input */ + absorb_padded(&pctx, input, inlen); + absorb_lengths(&pctx, aadlen, inlen); + crypton_poly1305_finalize(mac, &pctx); + + if (inlen) + crypton_chacha_combine(out, &cctx, input, inlen); + + memset(&cctx, 0, sizeof(cctx)); + memset(&pctx, 0, sizeof(pctx)); + + if (outtag) { + memcpy(outtag, mac, taglen); + return 1; + } + for (i = 0; i < taglen; i++) + diff |= (uint8_t) (mac[i] ^ tag[i]); + return diff == 0; +} + +int crypton_chachapoly_decrypt(uint8_t *out, + const uint8_t *tag, uint32_t taglen, + const uint8_t *key, + const uint8_t *nonce, uint32_t noncelen, + const uint8_t *aad, uint32_t aadlen, + const uint8_t *input, uint32_t inlen) +{ + return chachapoly_decrypt(out, tag, taglen, NULL, key, nonce, noncelen, + aad, aadlen, input, inlen); +} + +void crypton_chachapoly_decrypt_tag(uint8_t *out, uint8_t *outtag, + uint32_t taglen, const uint8_t *key, + const uint8_t *nonce, uint32_t noncelen, + const uint8_t *aad, uint32_t aadlen, + const uint8_t *input, uint32_t inlen) +{ + (void) chachapoly_decrypt(out, NULL, taglen, outtag, key, nonce, + noncelen, aad, aadlen, input, inlen); +} diff --git a/cbits/crypton_chachapoly.h b/cbits/crypton_chachapoly.h new file mode 100644 --- /dev/null +++ b/cbits/crypton_chachapoly.h @@ -0,0 +1,62 @@ +/* + * Copyright (c) 2026 Kazu Yamamoto + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE AUTHORS AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHORS OR CONTRIBUTORS + * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR + * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF + * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS + * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN + * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) + * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE + * POSSIBILITY OF SUCH DAMAGE. + */ + +#ifndef CRYPTON_CHACHAPOLY_H +#define CRYPTON_CHACHAPOLY_H + +#include + +/* ChaCha20-Poly1305 (RFC 8439) as one call. + * + * The pieces are the ChaCha20 and Poly1305 already here; what these do is + * hold them together, which the Haskell above used to do at the cost of eight + * foreign calls and the allocations between them. + * + * The nonce is the twelve bytes RFC 8439 defines. taglen is at most 16. + */ + +void crypton_chachapoly_encrypt(uint8_t *out, uint8_t *tag, uint32_t taglen, + const uint8_t *key, + const uint8_t *nonce, uint32_t noncelen, + const uint8_t *aad, uint32_t aadlen, + const uint8_t *input, uint32_t inlen); + +/* Decrypt and compare, a byte at a time over the whole tag whichever way the + * answer goes. Returns non-zero when the tag matched. */ +int crypton_chachapoly_decrypt(uint8_t *out, + const uint8_t *tag, uint32_t taglen, + const uint8_t *key, + const uint8_t *nonce, uint32_t noncelen, + const uint8_t *aad, uint32_t aadlen, + const uint8_t *input, uint32_t inlen); + +/* Decrypt and hand the computed tag back rather than comparing it. */ +void crypton_chachapoly_decrypt_tag(uint8_t *out, uint8_t *outtag, + uint32_t taglen, const uint8_t *key, + const uint8_t *nonce, uint32_t noncelen, + const uint8_t *aad, uint32_t aadlen, + const uint8_t *input, uint32_t inlen); + +#endif diff --git a/cbits/crypton_cpu.c b/cbits/crypton_cpu.c --- a/cbits/crypton_cpu.c +++ b/cbits/crypton_cpu.c @@ -31,6 +31,18 @@ #include "crypton_cpu.h" #include +/* + * The word the assembly reads; crypton_cpu.h says what is in it. Hidden, + * so that the reference to it from the assembly resolves at link time in a + * shared object as well as a static one. The SHA-256 bit is set by + * cbits/crypton_sha256.c once it has asked whether the processor has those + * instructions. + */ +#ifdef CRYPTON_ARM_ASM +__attribute__((visibility("hidden"))) unsigned int crypton_armcap_P = + CRYPTON_ARMCAP_NEON; +#endif + #ifdef ARCH_X86 static void cpuid(uint32_t info, uint32_t *eax, uint32_t *ebx, uint32_t *ecx, uint32_t *edx) { @@ -51,6 +63,217 @@ #endif :"+a" (*eax), "=S" (*ebx), "=c" (*ecx), "=d" (*edx) : :"edi"); +} + +/* + * What the machine will let us use beyond the x86-64 baseline. XGETBV is + * spelled out in bytes because it predates some assemblers that are still + * in use. + */ +static void cpuid_count(uint32_t info, uint32_t sub, uint32_t *eax, uint32_t *ebx, uint32_t *ecx, uint32_t *edx) +{ + *eax = info; + *ecx = sub; + __asm__ volatile + ( +#ifdef __x86_64__ + "mov %%rbx, %%rdi;" +#else + "mov %%ebx, %%edi;" +#endif + "cpuid;" + "mov %%ebx, %%esi;" +#ifdef __x86_64__ + "mov %%rdi, %%rbx;" +#else + "mov %%edi, %%ebx;" +#endif + :"+a" (*eax), "=S" (*ebx), "+c" (*ecx), "=d" (*edx) + : :"edi"); +} + +static uint64_t xcr0(void) +{ + uint32_t lo, hi; + + __asm__ volatile(".byte 0x0f, 0x01, 0xd0" : "=a" (lo), "=d" (hi) : "c" (0)); + return ((uint64_t) hi << 32) | lo; +} + +#ifdef CRYPTON_X86_ASM +__attribute__((visibility("hidden"))) unsigned int crypton_ia32cap_P[4]; + +/* + * The AVX-512 bits of leaf 7 EBX -- F, DQ, IFMA, PF, ER, CD, BW and VL, + * which is every bit from 16 up except 21's neighbours and 29, the SHA + * extensions, which are not AVX-512 and are wanted. They are cleared + * whatever the processor says: the code they would select in the vendored + * assembly cannot be run, let alone measured, on any machine here, and + * shipping a path nothing has executed is not worth the few per cent it + * might be worth. Turning them on is a one-line change for whoever has + * the hardware. + */ +#define IA32CAP_AVX512 \ + ((1u << 16) | (1u << 17) | (1u << 21) | (1u << 26) | (1u << 27) \ + | (1u << 28) | (1u << 30) | (1u << 31)) + +/* + * cpuid as the assembly reads it, with the two bits it dispatches on -- AVX + * in leaf 1 and AVX2 in leaf 7 -- left set only where the answer already + * agreed that the operating system saves the registers. Two threads racing + * here write the same values. + */ +void crypton_x86_ia32cap_resolve(void) +{ + static int resolved = 0; + + if (!resolved) { + uint32_t eax, ebx, ecx, edx, maxleaf; + uint32_t f = crypton_x86_simd_features(); + uint32_t leaf1_ecx, leaf7_ebx = 0; + int intel; + + cpuid(0, &eax, &ebx, &ecx, &edx); + maxleaf = eax; + /* "GenuineIntel", which OpenSSL records in a bit of leaf 1 + * EDX that cpuid leaves reserved: some of the assembly asks, + * having found a path worth taking on one make and not the + * other */ + intel = (ebx == 0x756e6547 && edx == 0x49656e69 + && ecx == 0x6c65746e); + + cpuid(1, &eax, &ebx, &ecx, &edx); + crypton_ia32cap_P[0] = intel ? (edx | (1u << 30)) : edx; + leaf1_ecx = ecx; + if (!(f & CRYPTON_X86_AVX)) + leaf1_ecx &= ~(1u << 28); + /* + * Bit 11 is not leaf 1's to give. The assembly reads it as + * AMD's XOP, which lives in leaf 0x80000001, and OpenSSL + * clears whatever leaf 1 put there before merging the real + * flag into the place -- on Intel that is SDBG, the silicon + * debug interface, reported since Broadwell, and reading it + * as XOP sends SHA-512 and ChaCha20 into a vprotq and a + * SIGILL. It is cleared and left clear: nothing here can run + * XOP to test it, and no processor still in service has it, + * AMD having carried it from Bulldozer to Excavator and Zen + * having dropped it. That is the reason the AVX-512 bits + * above are cleared too. + */ + leaf1_ecx &= ~(1u << 11); + crypton_ia32cap_P[1] = leaf1_ecx; + + if (maxleaf >= 7) { + cpuid_count(7, 0, &eax, &ebx, &ecx, &edx); + leaf7_ebx = ebx; + } + if (!(f & CRYPTON_X86_AVX2)) + leaf7_ebx &= ~(1u << 5); + crypton_ia32cap_P[2] = leaf7_ebx & ~IA32CAP_AVX512; + + resolved = 1; + } +} +#endif + +uint32_t crypton_x86_simd_features(void) +{ + static int resolved = 0; + static uint32_t features = 0; + + if (!resolved) { + uint32_t eax, ebx, ecx, edx, leaf1, maxleaf, family, f = 0; + int amd; + + cpuid(0, &eax, &ebx, &ecx, &edx); + maxleaf = eax; + /* "AuthenticAMD" arrives as EBX, EDX, ECX in that order */ + amd = (ebx == 0x68747541 && edx == 0x69746e65 + && ecx == 0x444d4163); + + cpuid(1, &eax, &ebx, &ecx, &edx); + leaf1 = ecx; + /* the family is the base one, and the extended field is + * added to it only when the base reads 0xf, which is how + * every AMD Zen part reports */ + family = (eax >> 8) & 0xf; + if (family == 0xf) + family += (eax >> 20) & 0xff; + if (leaf1 & (1 << 9)) + f |= CRYPTON_X86_SSSE3; + if (leaf1 & (1 << 1)) + f |= CRYPTON_X86_PCLMUL; + if (leaf1 & (1 << 22)) + f |= CRYPTON_X86_MOVBE; + /* AVX asks the same three things as AVX2 below: the + * processor has it, OSXSAVE is on, and the operating system + * says it saves the registers */ + if ((leaf1 & (1 << 28)) && (leaf1 & (1 << 27)) + && ((xcr0() & 6) == 6)) + f |= CRYPTON_X86_AVX; + + /* leaf 7 answers for both of the rest, and a processor that + * does not have it answers for the highest leaf it does have + * instead, so ask what that is first */ + if (maxleaf >= 7) { + cpuid_count(7, 0, &eax, &ebx, &ecx, &edx); + /* the SHA extensions work in registers the SSE state + * already covers, so they need nothing of the + * operating system. The code that uses them also + * wants SSSE3 and SSE4.1, which every processor that + * has them has, but ask rather than assume */ + if ((ebx & (1 << 29)) && (leaf1 & (1 << 9)) + && (leaf1 & (1 << 19))) + f |= CRYPTON_X86_SHA_NI; + /* AVX2 has the wider registers, which takes three + * things agreeing: the CPU has it, OSXSAVE is on, and + * XCR0 says the operating system saves them -- + * without that last one the upper halves are lost + * across a context switch */ + if ((ebx & (1 << 5)) && (leaf1 & (1 << 27)) + && (leaf1 & (1 << 28)) && ((xcr0() & 6) == 6)) + f |= CRYPTON_X86_AVX2; + /* BMI2 for MULX and ADX for ADCX/ADOX. Both are + * wanted together and neither touches vector state, + * so there is nothing to ask the operating system */ + if ((ebx & (1 << 8)) && (ebx & (1 << 19))) + f |= CRYPTON_X86_ADX; + /* VAES and VPCLMULQDQ, leaf 7 ECX bits 9 and 10. + * They are wanted together -- one without the other + * leaves half of AES-GCM narrow -- and they need the + * wide registers, so AVX2 has to have answered first, + * which settles the operating system's part. */ + if ((ecx & (1 << 9)) && (ecx & (1 << 10)) + && (f & CRYPTON_X86_AVX2)) + f |= CRYPTON_X86_VAES; + /* The same two instructions in their 512-bit form, + * which wants AVX-512 F, BW and VL as well -- and + * three more bits of XCR0, for the mask registers and + * the two upper halves of the vector state. A + * machine can report the instructions and still fault + * on them when the operating system has not said it + * saves that state, which is what those bits are. */ + if ((f & CRYPTON_X86_VAES) + && (ebx & (1 << 16)) && (ebx & (1u << 30)) + && (ebx & (1u << 31)) + && ((xcr0() & 0xe6) == 0xe6) + /* Not on Zen 4, which is AMD family 19h with + * AVX-512: there the 512-bit instructions are two + * 256-bit passes through a 256-bit datapath, so + * they carry the wider encoding for none of the + * throughput, and AES-GCM measures 0.6 to 3 + * per cent slower than the 256-bit path. Zen 5 + * is family 1Ah and does have the wide datapath, + * where the same code is half as fast again; + * Zen 3, the other family 19h part, has no + * AVX-512 at all and never reaches here. */ + && !(amd && family == 0x19)) + f |= CRYPTON_X86_VAES512; + } + features = f; + resolved = 1; + } + return features; } #ifdef USE_AESNI diff --git a/cbits/crypton_cpu.h b/cbits/crypton_cpu.h --- a/cbits/crypton_cpu.h +++ b/cbits/crypton_cpu.h @@ -31,9 +31,71 @@ #ifndef CPU_H #define CPU_H +#include + #if defined(__i386__) || defined(__x86_64__) #define ARCH_X86 #define USE_AESNI +#endif + +/* vector extensions beyond the x86-64 baseline, as cpuid reports them and + * the OS allows them */ +#define CRYPTON_X86_SSSE3 1 +#define CRYPTON_X86_AVX2 2 +#define CRYPTON_X86_PCLMUL 4 +/* the SHA extensions, and the SSSE3 and SSE4.1 the code around them uses */ +#define CRYPTON_X86_SHA_NI 8 +/* the 128-bit half of AVX, which is what the vendored assembly is written + * in, and the byte-swapping load it reads the message with */ +#define CRYPTON_X86_AVX 16 +#define CRYPTON_X86_MOVBE 32 +/* MULX, ADCX and ADOX together: the two independent carry chains the + * vendored s2n-bignum assembly wants. They are general-purpose register + * instructions, so unlike the vector ones above they ask nothing of the + * operating system. */ +#define CRYPTON_X86_ADX 64 +/* The AES and carry-less multiply instructions in their 256-bit form, which + * do two blocks where the 128-bit ones do one. They are VEX-encoded and use + * the vector registers AVX2 already needs the operating system to save, so + * they ask nothing further of it -- but AVX2 itself is asked about, since + * without it there is nowhere to put them. */ +#define CRYPTON_X86_VAES 128 +/* The same pair in their 512-bit form, four blocks to an instruction. These + * are EVEX-encoded and need the AVX-512 state as well, which is three more + * bits of XCR0 than AVX2 wants: the mask registers and the two upper halves + * of the vector registers. */ +#define CRYPTON_X86_VAES512 256 +#ifdef ARCH_X86 +uint32_t crypton_x86_simd_features(void); +#endif + +/* + * What the vendored AArch64 assembly asks about the processor, in the way + * OpenSSL asks it and with OpenSSL's bit numbering. NEON is not optional + * on AArch64 and is set from the start; the SHA-256 instructions are, so + * the bit for them is set once the runtime check has answered. See + * cbits/crypton_cpu.c and cbits/asm/README.md. + */ +/* + * And what the vendored x86-64 assembly asks, which is cpuid's own words in + * the order OpenSSL keeps them: [0] is leaf 1 EDX, [1] leaf 1 ECX and [2] + * leaf 7 EBX, with the bits for what the operating system will not preserve + * cleared. Filled on first use; see cbits/crypton_cpu.c. + */ +#if defined(WITH_X86_POLY1305_ASM) || defined(WITH_X86_CHACHA_ASM) \ + || defined(WITH_X86_SHA256_ASM) || defined(WITH_X86_SHA512_ASM) +#define CRYPTON_X86_ASM 1 +extern unsigned int crypton_ia32cap_P[4]; +void crypton_x86_ia32cap_resolve(void); +#endif + +#if defined(WITH_ARMV8_CHACHA_ASM) || defined(WITH_ARMV8_POLY1305_ASM) \ + || defined(WITH_ARMV8_SHA1_ASM) || defined(WITH_ARMV8_SHA256_ASM) +#define CRYPTON_ARM_ASM 1 +#define CRYPTON_ARMCAP_NEON 1 +#define CRYPTON_ARMCAP_SHA1 (1 << 3) +#define CRYPTON_ARMCAP_SHA256 (1 << 4) +extern unsigned int crypton_armcap_P; #endif #ifdef USE_AESNI diff --git a/cbits/crypton_des.c b/cbits/crypton_des.c new file mode 100644 --- /dev/null +++ b/cbits/crypton_des.c @@ -0,0 +1,1325 @@ +/* + * DES, as FIPS 46-3 defines it. + * + * The tables below are generated from the permutations and S-boxes of that + * standard: SP[i] combines S-box i with the P permutation, IPL/IPR and FPH/FPL + * apply the initial and final permutations one input byte at a time, and the + * 48-bit round key is kept as eight six-bit values so that the E expansion is + * a rotate and a shift rather than a table. + * + * DES is here because callers still meet it, not because it should be chosen: + * its 56-bit key is exhaustible, and this implementation indexes tables with + * key-dependent values, so it is not constant time. + */ +#include +#include +#include + +static const uint32_t SP[8][64] = { +{ + 0x00808200U, 0x00000000U, 0x00008000U, 0x00808202U, 0x00808002U, 0x00008202U, 0x00000002U, 0x00008000U, + 0x00000200U, 0x00808200U, 0x00808202U, 0x00000200U, 0x00800202U, 0x00808002U, 0x00800000U, 0x00000002U, + 0x00000202U, 0x00800200U, 0x00800200U, 0x00008200U, 0x00008200U, 0x00808000U, 0x00808000U, 0x00800202U, + 0x00008002U, 0x00800002U, 0x00800002U, 0x00008002U, 0x00000000U, 0x00000202U, 0x00008202U, 0x00800000U, + 0x00008000U, 0x00808202U, 0x00000002U, 0x00808000U, 0x00808200U, 0x00800000U, 0x00800000U, 0x00000200U, + 0x00808002U, 0x00008000U, 0x00008200U, 0x00800002U, 0x00000200U, 0x00000002U, 0x00800202U, 0x00008202U, + 0x00808202U, 0x00008002U, 0x00808000U, 0x00800202U, 0x00800002U, 0x00000202U, 0x00008202U, 0x00808200U, + 0x00000202U, 0x00800200U, 0x00800200U, 0x00000000U, 0x00008002U, 0x00008200U, 0x00000000U, 0x00808002U, +}, +{ + 0x40084010U, 0x40004000U, 0x00004000U, 0x00084010U, 0x00080000U, 0x00000010U, 0x40080010U, 0x40004010U, + 0x40000010U, 0x40084010U, 0x40084000U, 0x40000000U, 0x40004000U, 0x00080000U, 0x00000010U, 0x40080010U, + 0x00084000U, 0x00080010U, 0x40004010U, 0x00000000U, 0x40000000U, 0x00004000U, 0x00084010U, 0x40080000U, + 0x00080010U, 0x40000010U, 0x00000000U, 0x00084000U, 0x00004010U, 0x40084000U, 0x40080000U, 0x00004010U, + 0x00000000U, 0x00084010U, 0x40080010U, 0x00080000U, 0x40004010U, 0x40080000U, 0x40084000U, 0x00004000U, + 0x40080000U, 0x40004000U, 0x00000010U, 0x40084010U, 0x00084010U, 0x00000010U, 0x00004000U, 0x40000000U, + 0x00004010U, 0x40084000U, 0x00080000U, 0x40000010U, 0x00080010U, 0x40004010U, 0x40000010U, 0x00080010U, + 0x00084000U, 0x00000000U, 0x40004000U, 0x00004010U, 0x40000000U, 0x40080010U, 0x40084010U, 0x00084000U, +}, +{ + 0x00000104U, 0x04010100U, 0x00000000U, 0x04010004U, 0x04000100U, 0x00000000U, 0x00010104U, 0x04000100U, + 0x00010004U, 0x04000004U, 0x04000004U, 0x00010000U, 0x04010104U, 0x00010004U, 0x04010000U, 0x00000104U, + 0x04000000U, 0x00000004U, 0x04010100U, 0x00000100U, 0x00010100U, 0x04010000U, 0x04010004U, 0x00010104U, + 0x04000104U, 0x00010100U, 0x00010000U, 0x04000104U, 0x00000004U, 0x04010104U, 0x00000100U, 0x04000000U, + 0x04010100U, 0x04000000U, 0x00010004U, 0x00000104U, 0x00010000U, 0x04010100U, 0x04000100U, 0x00000000U, + 0x00000100U, 0x00010004U, 0x04010104U, 0x04000100U, 0x04000004U, 0x00000100U, 0x00000000U, 0x04010004U, + 0x04000104U, 0x00010000U, 0x04000000U, 0x04010104U, 0x00000004U, 0x00010104U, 0x00010100U, 0x04000004U, + 0x04010000U, 0x04000104U, 0x00000104U, 0x04010000U, 0x00010104U, 0x00000004U, 0x04010004U, 0x00010100U, +}, +{ + 0x80401000U, 0x80001040U, 0x80001040U, 0x00000040U, 0x00401040U, 0x80400040U, 0x80400000U, 0x80001000U, + 0x00000000U, 0x00401000U, 0x00401000U, 0x80401040U, 0x80000040U, 0x00000000U, 0x00400040U, 0x80400000U, + 0x80000000U, 0x00001000U, 0x00400000U, 0x80401000U, 0x00000040U, 0x00400000U, 0x80001000U, 0x00001040U, + 0x80400040U, 0x80000000U, 0x00001040U, 0x00400040U, 0x00001000U, 0x00401040U, 0x80401040U, 0x80000040U, + 0x00400040U, 0x80400000U, 0x00401000U, 0x80401040U, 0x80000040U, 0x00000000U, 0x00000000U, 0x00401000U, + 0x00001040U, 0x00400040U, 0x80400040U, 0x80000000U, 0x80401000U, 0x80001040U, 0x80001040U, 0x00000040U, + 0x80401040U, 0x80000040U, 0x80000000U, 0x00001000U, 0x80400000U, 0x80001000U, 0x00401040U, 0x80400040U, + 0x80001000U, 0x00001040U, 0x00400000U, 0x80401000U, 0x00000040U, 0x00400000U, 0x00001000U, 0x00401040U, +}, +{ + 0x00000080U, 0x01040080U, 0x01040000U, 0x21000080U, 0x00040000U, 0x00000080U, 0x20000000U, 0x01040000U, + 0x20040080U, 0x00040000U, 0x01000080U, 0x20040080U, 0x21000080U, 0x21040000U, 0x00040080U, 0x20000000U, + 0x01000000U, 0x20040000U, 0x20040000U, 0x00000000U, 0x20000080U, 0x21040080U, 0x21040080U, 0x01000080U, + 0x21040000U, 0x20000080U, 0x00000000U, 0x21000000U, 0x01040080U, 0x01000000U, 0x21000000U, 0x00040080U, + 0x00040000U, 0x21000080U, 0x00000080U, 0x01000000U, 0x20000000U, 0x01040000U, 0x21000080U, 0x20040080U, + 0x01000080U, 0x20000000U, 0x21040000U, 0x01040080U, 0x20040080U, 0x00000080U, 0x01000000U, 0x21040000U, + 0x21040080U, 0x00040080U, 0x21000000U, 0x21040080U, 0x01040000U, 0x00000000U, 0x20040000U, 0x21000000U, + 0x00040080U, 0x01000080U, 0x20000080U, 0x00040000U, 0x00000000U, 0x20040000U, 0x01040080U, 0x20000080U, +}, +{ + 0x10000008U, 0x10200000U, 0x00002000U, 0x10202008U, 0x10200000U, 0x00000008U, 0x10202008U, 0x00200000U, + 0x10002000U, 0x00202008U, 0x00200000U, 0x10000008U, 0x00200008U, 0x10002000U, 0x10000000U, 0x00002008U, + 0x00000000U, 0x00200008U, 0x10002008U, 0x00002000U, 0x00202000U, 0x10002008U, 0x00000008U, 0x10200008U, + 0x10200008U, 0x00000000U, 0x00202008U, 0x10202000U, 0x00002008U, 0x00202000U, 0x10202000U, 0x10000000U, + 0x10002000U, 0x00000008U, 0x10200008U, 0x00202000U, 0x10202008U, 0x00200000U, 0x00002008U, 0x10000008U, + 0x00200000U, 0x10002000U, 0x10000000U, 0x00002008U, 0x10000008U, 0x10202008U, 0x00202000U, 0x10200000U, + 0x00202008U, 0x10202000U, 0x00000000U, 0x10200008U, 0x00000008U, 0x00002000U, 0x10200000U, 0x00202008U, + 0x00002000U, 0x00200008U, 0x10002008U, 0x00000000U, 0x10202000U, 0x10000000U, 0x00200008U, 0x10002008U, +}, +{ + 0x00100000U, 0x02100001U, 0x02000401U, 0x00000000U, 0x00000400U, 0x02000401U, 0x00100401U, 0x02100400U, + 0x02100401U, 0x00100000U, 0x00000000U, 0x02000001U, 0x00000001U, 0x02000000U, 0x02100001U, 0x00000401U, + 0x02000400U, 0x00100401U, 0x00100001U, 0x02000400U, 0x02000001U, 0x02100000U, 0x02100400U, 0x00100001U, + 0x02100000U, 0x00000400U, 0x00000401U, 0x02100401U, 0x00100400U, 0x00000001U, 0x02000000U, 0x00100400U, + 0x02000000U, 0x00100400U, 0x00100000U, 0x02000401U, 0x02000401U, 0x02100001U, 0x02100001U, 0x00000001U, + 0x00100001U, 0x02000000U, 0x02000400U, 0x00100000U, 0x02100400U, 0x00000401U, 0x00100401U, 0x02100400U, + 0x00000401U, 0x02000001U, 0x02100401U, 0x02100000U, 0x00100400U, 0x00000000U, 0x00000001U, 0x02100401U, + 0x00000000U, 0x00100401U, 0x02100000U, 0x00000400U, 0x02000001U, 0x02000400U, 0x00000400U, 0x00100001U, +}, +{ + 0x08000820U, 0x00000800U, 0x00020000U, 0x08020820U, 0x08000000U, 0x08000820U, 0x00000020U, 0x08000000U, + 0x00020020U, 0x08020000U, 0x08020820U, 0x00020800U, 0x08020800U, 0x00020820U, 0x00000800U, 0x00000020U, + 0x08020000U, 0x08000020U, 0x08000800U, 0x00000820U, 0x00020800U, 0x00020020U, 0x08020020U, 0x08020800U, + 0x00000820U, 0x00000000U, 0x00000000U, 0x08020020U, 0x08000020U, 0x08000800U, 0x00020820U, 0x00020000U, + 0x00020820U, 0x00020000U, 0x08020800U, 0x00000800U, 0x00000020U, 0x08020020U, 0x00000800U, 0x00020820U, + 0x08000800U, 0x00000020U, 0x08000020U, 0x08020000U, 0x08020020U, 0x08000000U, 0x00020000U, 0x08000820U, + 0x00000000U, 0x08020820U, 0x00020020U, 0x08000020U, 0x08020000U, 0x08000800U, 0x08000820U, 0x00000000U, + 0x08020820U, 0x00020800U, 0x00020800U, 0x00000820U, 0x00000820U, 0x00020020U, 0x08000000U, 0x08020800U, +}, +}; + +static const uint32_t IPL[8][256] = { +{ + 0x00000000U, 0x00000001U, 0x00000000U, 0x00000001U, 0x00000100U, 0x00000101U, 0x00000100U, 0x00000101U, + 0x00000000U, 0x00000001U, 0x00000000U, 0x00000001U, 0x00000100U, 0x00000101U, 0x00000100U, 0x00000101U, + 0x00010000U, 0x00010001U, 0x00010000U, 0x00010001U, 0x00010100U, 0x00010101U, 0x00010100U, 0x00010101U, + 0x00010000U, 0x00010001U, 0x00010000U, 0x00010001U, 0x00010100U, 0x00010101U, 0x00010100U, 0x00010101U, + 0x00000000U, 0x00000001U, 0x00000000U, 0x00000001U, 0x00000100U, 0x00000101U, 0x00000100U, 0x00000101U, + 0x00000000U, 0x00000001U, 0x00000000U, 0x00000001U, 0x00000100U, 0x00000101U, 0x00000100U, 0x00000101U, + 0x00010000U, 0x00010001U, 0x00010000U, 0x00010001U, 0x00010100U, 0x00010101U, 0x00010100U, 0x00010101U, + 0x00010000U, 0x00010001U, 0x00010000U, 0x00010001U, 0x00010100U, 0x00010101U, 0x00010100U, 0x00010101U, + 0x01000000U, 0x01000001U, 0x01000000U, 0x01000001U, 0x01000100U, 0x01000101U, 0x01000100U, 0x01000101U, + 0x01000000U, 0x01000001U, 0x01000000U, 0x01000001U, 0x01000100U, 0x01000101U, 0x01000100U, 0x01000101U, + 0x01010000U, 0x01010001U, 0x01010000U, 0x01010001U, 0x01010100U, 0x01010101U, 0x01010100U, 0x01010101U, + 0x01010000U, 0x01010001U, 0x01010000U, 0x01010001U, 0x01010100U, 0x01010101U, 0x01010100U, 0x01010101U, + 0x01000000U, 0x01000001U, 0x01000000U, 0x01000001U, 0x01000100U, 0x01000101U, 0x01000100U, 0x01000101U, + 0x01000000U, 0x01000001U, 0x01000000U, 0x01000001U, 0x01000100U, 0x01000101U, 0x01000100U, 0x01000101U, + 0x01010000U, 0x01010001U, 0x01010000U, 0x01010001U, 0x01010100U, 0x01010101U, 0x01010100U, 0x01010101U, + 0x01010000U, 0x01010001U, 0x01010000U, 0x01010001U, 0x01010100U, 0x01010101U, 0x01010100U, 0x01010101U, + 0x00000000U, 0x00000001U, 0x00000000U, 0x00000001U, 0x00000100U, 0x00000101U, 0x00000100U, 0x00000101U, + 0x00000000U, 0x00000001U, 0x00000000U, 0x00000001U, 0x00000100U, 0x00000101U, 0x00000100U, 0x00000101U, + 0x00010000U, 0x00010001U, 0x00010000U, 0x00010001U, 0x00010100U, 0x00010101U, 0x00010100U, 0x00010101U, + 0x00010000U, 0x00010001U, 0x00010000U, 0x00010001U, 0x00010100U, 0x00010101U, 0x00010100U, 0x00010101U, + 0x00000000U, 0x00000001U, 0x00000000U, 0x00000001U, 0x00000100U, 0x00000101U, 0x00000100U, 0x00000101U, + 0x00000000U, 0x00000001U, 0x00000000U, 0x00000001U, 0x00000100U, 0x00000101U, 0x00000100U, 0x00000101U, + 0x00010000U, 0x00010001U, 0x00010000U, 0x00010001U, 0x00010100U, 0x00010101U, 0x00010100U, 0x00010101U, + 0x00010000U, 0x00010001U, 0x00010000U, 0x00010001U, 0x00010100U, 0x00010101U, 0x00010100U, 0x00010101U, + 0x01000000U, 0x01000001U, 0x01000000U, 0x01000001U, 0x01000100U, 0x01000101U, 0x01000100U, 0x01000101U, + 0x01000000U, 0x01000001U, 0x01000000U, 0x01000001U, 0x01000100U, 0x01000101U, 0x01000100U, 0x01000101U, + 0x01010000U, 0x01010001U, 0x01010000U, 0x01010001U, 0x01010100U, 0x01010101U, 0x01010100U, 0x01010101U, + 0x01010000U, 0x01010001U, 0x01010000U, 0x01010001U, 0x01010100U, 0x01010101U, 0x01010100U, 0x01010101U, + 0x01000000U, 0x01000001U, 0x01000000U, 0x01000001U, 0x01000100U, 0x01000101U, 0x01000100U, 0x01000101U, + 0x01000000U, 0x01000001U, 0x01000000U, 0x01000001U, 0x01000100U, 0x01000101U, 0x01000100U, 0x01000101U, + 0x01010000U, 0x01010001U, 0x01010000U, 0x01010001U, 0x01010100U, 0x01010101U, 0x01010100U, 0x01010101U, + 0x01010000U, 0x01010001U, 0x01010000U, 0x01010001U, 0x01010100U, 0x01010101U, 0x01010100U, 0x01010101U, +}, +{ + 0x00000000U, 0x00000002U, 0x00000000U, 0x00000002U, 0x00000200U, 0x00000202U, 0x00000200U, 0x00000202U, + 0x00000000U, 0x00000002U, 0x00000000U, 0x00000002U, 0x00000200U, 0x00000202U, 0x00000200U, 0x00000202U, + 0x00020000U, 0x00020002U, 0x00020000U, 0x00020002U, 0x00020200U, 0x00020202U, 0x00020200U, 0x00020202U, + 0x00020000U, 0x00020002U, 0x00020000U, 0x00020002U, 0x00020200U, 0x00020202U, 0x00020200U, 0x00020202U, + 0x00000000U, 0x00000002U, 0x00000000U, 0x00000002U, 0x00000200U, 0x00000202U, 0x00000200U, 0x00000202U, + 0x00000000U, 0x00000002U, 0x00000000U, 0x00000002U, 0x00000200U, 0x00000202U, 0x00000200U, 0x00000202U, + 0x00020000U, 0x00020002U, 0x00020000U, 0x00020002U, 0x00020200U, 0x00020202U, 0x00020200U, 0x00020202U, + 0x00020000U, 0x00020002U, 0x00020000U, 0x00020002U, 0x00020200U, 0x00020202U, 0x00020200U, 0x00020202U, + 0x02000000U, 0x02000002U, 0x02000000U, 0x02000002U, 0x02000200U, 0x02000202U, 0x02000200U, 0x02000202U, + 0x02000000U, 0x02000002U, 0x02000000U, 0x02000002U, 0x02000200U, 0x02000202U, 0x02000200U, 0x02000202U, + 0x02020000U, 0x02020002U, 0x02020000U, 0x02020002U, 0x02020200U, 0x02020202U, 0x02020200U, 0x02020202U, + 0x02020000U, 0x02020002U, 0x02020000U, 0x02020002U, 0x02020200U, 0x02020202U, 0x02020200U, 0x02020202U, + 0x02000000U, 0x02000002U, 0x02000000U, 0x02000002U, 0x02000200U, 0x02000202U, 0x02000200U, 0x02000202U, + 0x02000000U, 0x02000002U, 0x02000000U, 0x02000002U, 0x02000200U, 0x02000202U, 0x02000200U, 0x02000202U, + 0x02020000U, 0x02020002U, 0x02020000U, 0x02020002U, 0x02020200U, 0x02020202U, 0x02020200U, 0x02020202U, + 0x02020000U, 0x02020002U, 0x02020000U, 0x02020002U, 0x02020200U, 0x02020202U, 0x02020200U, 0x02020202U, + 0x00000000U, 0x00000002U, 0x00000000U, 0x00000002U, 0x00000200U, 0x00000202U, 0x00000200U, 0x00000202U, + 0x00000000U, 0x00000002U, 0x00000000U, 0x00000002U, 0x00000200U, 0x00000202U, 0x00000200U, 0x00000202U, + 0x00020000U, 0x00020002U, 0x00020000U, 0x00020002U, 0x00020200U, 0x00020202U, 0x00020200U, 0x00020202U, + 0x00020000U, 0x00020002U, 0x00020000U, 0x00020002U, 0x00020200U, 0x00020202U, 0x00020200U, 0x00020202U, + 0x00000000U, 0x00000002U, 0x00000000U, 0x00000002U, 0x00000200U, 0x00000202U, 0x00000200U, 0x00000202U, + 0x00000000U, 0x00000002U, 0x00000000U, 0x00000002U, 0x00000200U, 0x00000202U, 0x00000200U, 0x00000202U, + 0x00020000U, 0x00020002U, 0x00020000U, 0x00020002U, 0x00020200U, 0x00020202U, 0x00020200U, 0x00020202U, + 0x00020000U, 0x00020002U, 0x00020000U, 0x00020002U, 0x00020200U, 0x00020202U, 0x00020200U, 0x00020202U, + 0x02000000U, 0x02000002U, 0x02000000U, 0x02000002U, 0x02000200U, 0x02000202U, 0x02000200U, 0x02000202U, + 0x02000000U, 0x02000002U, 0x02000000U, 0x02000002U, 0x02000200U, 0x02000202U, 0x02000200U, 0x02000202U, + 0x02020000U, 0x02020002U, 0x02020000U, 0x02020002U, 0x02020200U, 0x02020202U, 0x02020200U, 0x02020202U, + 0x02020000U, 0x02020002U, 0x02020000U, 0x02020002U, 0x02020200U, 0x02020202U, 0x02020200U, 0x02020202U, + 0x02000000U, 0x02000002U, 0x02000000U, 0x02000002U, 0x02000200U, 0x02000202U, 0x02000200U, 0x02000202U, + 0x02000000U, 0x02000002U, 0x02000000U, 0x02000002U, 0x02000200U, 0x02000202U, 0x02000200U, 0x02000202U, + 0x02020000U, 0x02020002U, 0x02020000U, 0x02020002U, 0x02020200U, 0x02020202U, 0x02020200U, 0x02020202U, + 0x02020000U, 0x02020002U, 0x02020000U, 0x02020002U, 0x02020200U, 0x02020202U, 0x02020200U, 0x02020202U, +}, +{ + 0x00000000U, 0x00000004U, 0x00000000U, 0x00000004U, 0x00000400U, 0x00000404U, 0x00000400U, 0x00000404U, + 0x00000000U, 0x00000004U, 0x00000000U, 0x00000004U, 0x00000400U, 0x00000404U, 0x00000400U, 0x00000404U, + 0x00040000U, 0x00040004U, 0x00040000U, 0x00040004U, 0x00040400U, 0x00040404U, 0x00040400U, 0x00040404U, + 0x00040000U, 0x00040004U, 0x00040000U, 0x00040004U, 0x00040400U, 0x00040404U, 0x00040400U, 0x00040404U, + 0x00000000U, 0x00000004U, 0x00000000U, 0x00000004U, 0x00000400U, 0x00000404U, 0x00000400U, 0x00000404U, + 0x00000000U, 0x00000004U, 0x00000000U, 0x00000004U, 0x00000400U, 0x00000404U, 0x00000400U, 0x00000404U, + 0x00040000U, 0x00040004U, 0x00040000U, 0x00040004U, 0x00040400U, 0x00040404U, 0x00040400U, 0x00040404U, + 0x00040000U, 0x00040004U, 0x00040000U, 0x00040004U, 0x00040400U, 0x00040404U, 0x00040400U, 0x00040404U, + 0x04000000U, 0x04000004U, 0x04000000U, 0x04000004U, 0x04000400U, 0x04000404U, 0x04000400U, 0x04000404U, + 0x04000000U, 0x04000004U, 0x04000000U, 0x04000004U, 0x04000400U, 0x04000404U, 0x04000400U, 0x04000404U, + 0x04040000U, 0x04040004U, 0x04040000U, 0x04040004U, 0x04040400U, 0x04040404U, 0x04040400U, 0x04040404U, + 0x04040000U, 0x04040004U, 0x04040000U, 0x04040004U, 0x04040400U, 0x04040404U, 0x04040400U, 0x04040404U, + 0x04000000U, 0x04000004U, 0x04000000U, 0x04000004U, 0x04000400U, 0x04000404U, 0x04000400U, 0x04000404U, + 0x04000000U, 0x04000004U, 0x04000000U, 0x04000004U, 0x04000400U, 0x04000404U, 0x04000400U, 0x04000404U, + 0x04040000U, 0x04040004U, 0x04040000U, 0x04040004U, 0x04040400U, 0x04040404U, 0x04040400U, 0x04040404U, + 0x04040000U, 0x04040004U, 0x04040000U, 0x04040004U, 0x04040400U, 0x04040404U, 0x04040400U, 0x04040404U, + 0x00000000U, 0x00000004U, 0x00000000U, 0x00000004U, 0x00000400U, 0x00000404U, 0x00000400U, 0x00000404U, + 0x00000000U, 0x00000004U, 0x00000000U, 0x00000004U, 0x00000400U, 0x00000404U, 0x00000400U, 0x00000404U, + 0x00040000U, 0x00040004U, 0x00040000U, 0x00040004U, 0x00040400U, 0x00040404U, 0x00040400U, 0x00040404U, + 0x00040000U, 0x00040004U, 0x00040000U, 0x00040004U, 0x00040400U, 0x00040404U, 0x00040400U, 0x00040404U, + 0x00000000U, 0x00000004U, 0x00000000U, 0x00000004U, 0x00000400U, 0x00000404U, 0x00000400U, 0x00000404U, + 0x00000000U, 0x00000004U, 0x00000000U, 0x00000004U, 0x00000400U, 0x00000404U, 0x00000400U, 0x00000404U, + 0x00040000U, 0x00040004U, 0x00040000U, 0x00040004U, 0x00040400U, 0x00040404U, 0x00040400U, 0x00040404U, + 0x00040000U, 0x00040004U, 0x00040000U, 0x00040004U, 0x00040400U, 0x00040404U, 0x00040400U, 0x00040404U, + 0x04000000U, 0x04000004U, 0x04000000U, 0x04000004U, 0x04000400U, 0x04000404U, 0x04000400U, 0x04000404U, + 0x04000000U, 0x04000004U, 0x04000000U, 0x04000004U, 0x04000400U, 0x04000404U, 0x04000400U, 0x04000404U, + 0x04040000U, 0x04040004U, 0x04040000U, 0x04040004U, 0x04040400U, 0x04040404U, 0x04040400U, 0x04040404U, + 0x04040000U, 0x04040004U, 0x04040000U, 0x04040004U, 0x04040400U, 0x04040404U, 0x04040400U, 0x04040404U, + 0x04000000U, 0x04000004U, 0x04000000U, 0x04000004U, 0x04000400U, 0x04000404U, 0x04000400U, 0x04000404U, + 0x04000000U, 0x04000004U, 0x04000000U, 0x04000004U, 0x04000400U, 0x04000404U, 0x04000400U, 0x04000404U, + 0x04040000U, 0x04040004U, 0x04040000U, 0x04040004U, 0x04040400U, 0x04040404U, 0x04040400U, 0x04040404U, + 0x04040000U, 0x04040004U, 0x04040000U, 0x04040004U, 0x04040400U, 0x04040404U, 0x04040400U, 0x04040404U, +}, +{ + 0x00000000U, 0x00000008U, 0x00000000U, 0x00000008U, 0x00000800U, 0x00000808U, 0x00000800U, 0x00000808U, + 0x00000000U, 0x00000008U, 0x00000000U, 0x00000008U, 0x00000800U, 0x00000808U, 0x00000800U, 0x00000808U, + 0x00080000U, 0x00080008U, 0x00080000U, 0x00080008U, 0x00080800U, 0x00080808U, 0x00080800U, 0x00080808U, + 0x00080000U, 0x00080008U, 0x00080000U, 0x00080008U, 0x00080800U, 0x00080808U, 0x00080800U, 0x00080808U, + 0x00000000U, 0x00000008U, 0x00000000U, 0x00000008U, 0x00000800U, 0x00000808U, 0x00000800U, 0x00000808U, + 0x00000000U, 0x00000008U, 0x00000000U, 0x00000008U, 0x00000800U, 0x00000808U, 0x00000800U, 0x00000808U, + 0x00080000U, 0x00080008U, 0x00080000U, 0x00080008U, 0x00080800U, 0x00080808U, 0x00080800U, 0x00080808U, + 0x00080000U, 0x00080008U, 0x00080000U, 0x00080008U, 0x00080800U, 0x00080808U, 0x00080800U, 0x00080808U, + 0x08000000U, 0x08000008U, 0x08000000U, 0x08000008U, 0x08000800U, 0x08000808U, 0x08000800U, 0x08000808U, + 0x08000000U, 0x08000008U, 0x08000000U, 0x08000008U, 0x08000800U, 0x08000808U, 0x08000800U, 0x08000808U, + 0x08080000U, 0x08080008U, 0x08080000U, 0x08080008U, 0x08080800U, 0x08080808U, 0x08080800U, 0x08080808U, + 0x08080000U, 0x08080008U, 0x08080000U, 0x08080008U, 0x08080800U, 0x08080808U, 0x08080800U, 0x08080808U, + 0x08000000U, 0x08000008U, 0x08000000U, 0x08000008U, 0x08000800U, 0x08000808U, 0x08000800U, 0x08000808U, + 0x08000000U, 0x08000008U, 0x08000000U, 0x08000008U, 0x08000800U, 0x08000808U, 0x08000800U, 0x08000808U, + 0x08080000U, 0x08080008U, 0x08080000U, 0x08080008U, 0x08080800U, 0x08080808U, 0x08080800U, 0x08080808U, + 0x08080000U, 0x08080008U, 0x08080000U, 0x08080008U, 0x08080800U, 0x08080808U, 0x08080800U, 0x08080808U, + 0x00000000U, 0x00000008U, 0x00000000U, 0x00000008U, 0x00000800U, 0x00000808U, 0x00000800U, 0x00000808U, + 0x00000000U, 0x00000008U, 0x00000000U, 0x00000008U, 0x00000800U, 0x00000808U, 0x00000800U, 0x00000808U, + 0x00080000U, 0x00080008U, 0x00080000U, 0x00080008U, 0x00080800U, 0x00080808U, 0x00080800U, 0x00080808U, + 0x00080000U, 0x00080008U, 0x00080000U, 0x00080008U, 0x00080800U, 0x00080808U, 0x00080800U, 0x00080808U, + 0x00000000U, 0x00000008U, 0x00000000U, 0x00000008U, 0x00000800U, 0x00000808U, 0x00000800U, 0x00000808U, + 0x00000000U, 0x00000008U, 0x00000000U, 0x00000008U, 0x00000800U, 0x00000808U, 0x00000800U, 0x00000808U, + 0x00080000U, 0x00080008U, 0x00080000U, 0x00080008U, 0x00080800U, 0x00080808U, 0x00080800U, 0x00080808U, + 0x00080000U, 0x00080008U, 0x00080000U, 0x00080008U, 0x00080800U, 0x00080808U, 0x00080800U, 0x00080808U, + 0x08000000U, 0x08000008U, 0x08000000U, 0x08000008U, 0x08000800U, 0x08000808U, 0x08000800U, 0x08000808U, + 0x08000000U, 0x08000008U, 0x08000000U, 0x08000008U, 0x08000800U, 0x08000808U, 0x08000800U, 0x08000808U, + 0x08080000U, 0x08080008U, 0x08080000U, 0x08080008U, 0x08080800U, 0x08080808U, 0x08080800U, 0x08080808U, + 0x08080000U, 0x08080008U, 0x08080000U, 0x08080008U, 0x08080800U, 0x08080808U, 0x08080800U, 0x08080808U, + 0x08000000U, 0x08000008U, 0x08000000U, 0x08000008U, 0x08000800U, 0x08000808U, 0x08000800U, 0x08000808U, + 0x08000000U, 0x08000008U, 0x08000000U, 0x08000008U, 0x08000800U, 0x08000808U, 0x08000800U, 0x08000808U, + 0x08080000U, 0x08080008U, 0x08080000U, 0x08080008U, 0x08080800U, 0x08080808U, 0x08080800U, 0x08080808U, + 0x08080000U, 0x08080008U, 0x08080000U, 0x08080008U, 0x08080800U, 0x08080808U, 0x08080800U, 0x08080808U, +}, +{ + 0x00000000U, 0x00000010U, 0x00000000U, 0x00000010U, 0x00001000U, 0x00001010U, 0x00001000U, 0x00001010U, + 0x00000000U, 0x00000010U, 0x00000000U, 0x00000010U, 0x00001000U, 0x00001010U, 0x00001000U, 0x00001010U, + 0x00100000U, 0x00100010U, 0x00100000U, 0x00100010U, 0x00101000U, 0x00101010U, 0x00101000U, 0x00101010U, + 0x00100000U, 0x00100010U, 0x00100000U, 0x00100010U, 0x00101000U, 0x00101010U, 0x00101000U, 0x00101010U, + 0x00000000U, 0x00000010U, 0x00000000U, 0x00000010U, 0x00001000U, 0x00001010U, 0x00001000U, 0x00001010U, + 0x00000000U, 0x00000010U, 0x00000000U, 0x00000010U, 0x00001000U, 0x00001010U, 0x00001000U, 0x00001010U, + 0x00100000U, 0x00100010U, 0x00100000U, 0x00100010U, 0x00101000U, 0x00101010U, 0x00101000U, 0x00101010U, + 0x00100000U, 0x00100010U, 0x00100000U, 0x00100010U, 0x00101000U, 0x00101010U, 0x00101000U, 0x00101010U, + 0x10000000U, 0x10000010U, 0x10000000U, 0x10000010U, 0x10001000U, 0x10001010U, 0x10001000U, 0x10001010U, + 0x10000000U, 0x10000010U, 0x10000000U, 0x10000010U, 0x10001000U, 0x10001010U, 0x10001000U, 0x10001010U, + 0x10100000U, 0x10100010U, 0x10100000U, 0x10100010U, 0x10101000U, 0x10101010U, 0x10101000U, 0x10101010U, + 0x10100000U, 0x10100010U, 0x10100000U, 0x10100010U, 0x10101000U, 0x10101010U, 0x10101000U, 0x10101010U, + 0x10000000U, 0x10000010U, 0x10000000U, 0x10000010U, 0x10001000U, 0x10001010U, 0x10001000U, 0x10001010U, + 0x10000000U, 0x10000010U, 0x10000000U, 0x10000010U, 0x10001000U, 0x10001010U, 0x10001000U, 0x10001010U, + 0x10100000U, 0x10100010U, 0x10100000U, 0x10100010U, 0x10101000U, 0x10101010U, 0x10101000U, 0x10101010U, + 0x10100000U, 0x10100010U, 0x10100000U, 0x10100010U, 0x10101000U, 0x10101010U, 0x10101000U, 0x10101010U, + 0x00000000U, 0x00000010U, 0x00000000U, 0x00000010U, 0x00001000U, 0x00001010U, 0x00001000U, 0x00001010U, + 0x00000000U, 0x00000010U, 0x00000000U, 0x00000010U, 0x00001000U, 0x00001010U, 0x00001000U, 0x00001010U, + 0x00100000U, 0x00100010U, 0x00100000U, 0x00100010U, 0x00101000U, 0x00101010U, 0x00101000U, 0x00101010U, + 0x00100000U, 0x00100010U, 0x00100000U, 0x00100010U, 0x00101000U, 0x00101010U, 0x00101000U, 0x00101010U, + 0x00000000U, 0x00000010U, 0x00000000U, 0x00000010U, 0x00001000U, 0x00001010U, 0x00001000U, 0x00001010U, + 0x00000000U, 0x00000010U, 0x00000000U, 0x00000010U, 0x00001000U, 0x00001010U, 0x00001000U, 0x00001010U, + 0x00100000U, 0x00100010U, 0x00100000U, 0x00100010U, 0x00101000U, 0x00101010U, 0x00101000U, 0x00101010U, + 0x00100000U, 0x00100010U, 0x00100000U, 0x00100010U, 0x00101000U, 0x00101010U, 0x00101000U, 0x00101010U, + 0x10000000U, 0x10000010U, 0x10000000U, 0x10000010U, 0x10001000U, 0x10001010U, 0x10001000U, 0x10001010U, + 0x10000000U, 0x10000010U, 0x10000000U, 0x10000010U, 0x10001000U, 0x10001010U, 0x10001000U, 0x10001010U, + 0x10100000U, 0x10100010U, 0x10100000U, 0x10100010U, 0x10101000U, 0x10101010U, 0x10101000U, 0x10101010U, + 0x10100000U, 0x10100010U, 0x10100000U, 0x10100010U, 0x10101000U, 0x10101010U, 0x10101000U, 0x10101010U, + 0x10000000U, 0x10000010U, 0x10000000U, 0x10000010U, 0x10001000U, 0x10001010U, 0x10001000U, 0x10001010U, + 0x10000000U, 0x10000010U, 0x10000000U, 0x10000010U, 0x10001000U, 0x10001010U, 0x10001000U, 0x10001010U, + 0x10100000U, 0x10100010U, 0x10100000U, 0x10100010U, 0x10101000U, 0x10101010U, 0x10101000U, 0x10101010U, + 0x10100000U, 0x10100010U, 0x10100000U, 0x10100010U, 0x10101000U, 0x10101010U, 0x10101000U, 0x10101010U, +}, +{ + 0x00000000U, 0x00000020U, 0x00000000U, 0x00000020U, 0x00002000U, 0x00002020U, 0x00002000U, 0x00002020U, + 0x00000000U, 0x00000020U, 0x00000000U, 0x00000020U, 0x00002000U, 0x00002020U, 0x00002000U, 0x00002020U, + 0x00200000U, 0x00200020U, 0x00200000U, 0x00200020U, 0x00202000U, 0x00202020U, 0x00202000U, 0x00202020U, + 0x00200000U, 0x00200020U, 0x00200000U, 0x00200020U, 0x00202000U, 0x00202020U, 0x00202000U, 0x00202020U, + 0x00000000U, 0x00000020U, 0x00000000U, 0x00000020U, 0x00002000U, 0x00002020U, 0x00002000U, 0x00002020U, + 0x00000000U, 0x00000020U, 0x00000000U, 0x00000020U, 0x00002000U, 0x00002020U, 0x00002000U, 0x00002020U, + 0x00200000U, 0x00200020U, 0x00200000U, 0x00200020U, 0x00202000U, 0x00202020U, 0x00202000U, 0x00202020U, + 0x00200000U, 0x00200020U, 0x00200000U, 0x00200020U, 0x00202000U, 0x00202020U, 0x00202000U, 0x00202020U, + 0x20000000U, 0x20000020U, 0x20000000U, 0x20000020U, 0x20002000U, 0x20002020U, 0x20002000U, 0x20002020U, + 0x20000000U, 0x20000020U, 0x20000000U, 0x20000020U, 0x20002000U, 0x20002020U, 0x20002000U, 0x20002020U, + 0x20200000U, 0x20200020U, 0x20200000U, 0x20200020U, 0x20202000U, 0x20202020U, 0x20202000U, 0x20202020U, + 0x20200000U, 0x20200020U, 0x20200000U, 0x20200020U, 0x20202000U, 0x20202020U, 0x20202000U, 0x20202020U, + 0x20000000U, 0x20000020U, 0x20000000U, 0x20000020U, 0x20002000U, 0x20002020U, 0x20002000U, 0x20002020U, + 0x20000000U, 0x20000020U, 0x20000000U, 0x20000020U, 0x20002000U, 0x20002020U, 0x20002000U, 0x20002020U, + 0x20200000U, 0x20200020U, 0x20200000U, 0x20200020U, 0x20202000U, 0x20202020U, 0x20202000U, 0x20202020U, + 0x20200000U, 0x20200020U, 0x20200000U, 0x20200020U, 0x20202000U, 0x20202020U, 0x20202000U, 0x20202020U, + 0x00000000U, 0x00000020U, 0x00000000U, 0x00000020U, 0x00002000U, 0x00002020U, 0x00002000U, 0x00002020U, + 0x00000000U, 0x00000020U, 0x00000000U, 0x00000020U, 0x00002000U, 0x00002020U, 0x00002000U, 0x00002020U, + 0x00200000U, 0x00200020U, 0x00200000U, 0x00200020U, 0x00202000U, 0x00202020U, 0x00202000U, 0x00202020U, + 0x00200000U, 0x00200020U, 0x00200000U, 0x00200020U, 0x00202000U, 0x00202020U, 0x00202000U, 0x00202020U, + 0x00000000U, 0x00000020U, 0x00000000U, 0x00000020U, 0x00002000U, 0x00002020U, 0x00002000U, 0x00002020U, + 0x00000000U, 0x00000020U, 0x00000000U, 0x00000020U, 0x00002000U, 0x00002020U, 0x00002000U, 0x00002020U, + 0x00200000U, 0x00200020U, 0x00200000U, 0x00200020U, 0x00202000U, 0x00202020U, 0x00202000U, 0x00202020U, + 0x00200000U, 0x00200020U, 0x00200000U, 0x00200020U, 0x00202000U, 0x00202020U, 0x00202000U, 0x00202020U, + 0x20000000U, 0x20000020U, 0x20000000U, 0x20000020U, 0x20002000U, 0x20002020U, 0x20002000U, 0x20002020U, + 0x20000000U, 0x20000020U, 0x20000000U, 0x20000020U, 0x20002000U, 0x20002020U, 0x20002000U, 0x20002020U, + 0x20200000U, 0x20200020U, 0x20200000U, 0x20200020U, 0x20202000U, 0x20202020U, 0x20202000U, 0x20202020U, + 0x20200000U, 0x20200020U, 0x20200000U, 0x20200020U, 0x20202000U, 0x20202020U, 0x20202000U, 0x20202020U, + 0x20000000U, 0x20000020U, 0x20000000U, 0x20000020U, 0x20002000U, 0x20002020U, 0x20002000U, 0x20002020U, + 0x20000000U, 0x20000020U, 0x20000000U, 0x20000020U, 0x20002000U, 0x20002020U, 0x20002000U, 0x20002020U, + 0x20200000U, 0x20200020U, 0x20200000U, 0x20200020U, 0x20202000U, 0x20202020U, 0x20202000U, 0x20202020U, + 0x20200000U, 0x20200020U, 0x20200000U, 0x20200020U, 0x20202000U, 0x20202020U, 0x20202000U, 0x20202020U, +}, +{ + 0x00000000U, 0x00000040U, 0x00000000U, 0x00000040U, 0x00004000U, 0x00004040U, 0x00004000U, 0x00004040U, + 0x00000000U, 0x00000040U, 0x00000000U, 0x00000040U, 0x00004000U, 0x00004040U, 0x00004000U, 0x00004040U, + 0x00400000U, 0x00400040U, 0x00400000U, 0x00400040U, 0x00404000U, 0x00404040U, 0x00404000U, 0x00404040U, + 0x00400000U, 0x00400040U, 0x00400000U, 0x00400040U, 0x00404000U, 0x00404040U, 0x00404000U, 0x00404040U, + 0x00000000U, 0x00000040U, 0x00000000U, 0x00000040U, 0x00004000U, 0x00004040U, 0x00004000U, 0x00004040U, + 0x00000000U, 0x00000040U, 0x00000000U, 0x00000040U, 0x00004000U, 0x00004040U, 0x00004000U, 0x00004040U, + 0x00400000U, 0x00400040U, 0x00400000U, 0x00400040U, 0x00404000U, 0x00404040U, 0x00404000U, 0x00404040U, + 0x00400000U, 0x00400040U, 0x00400000U, 0x00400040U, 0x00404000U, 0x00404040U, 0x00404000U, 0x00404040U, + 0x40000000U, 0x40000040U, 0x40000000U, 0x40000040U, 0x40004000U, 0x40004040U, 0x40004000U, 0x40004040U, + 0x40000000U, 0x40000040U, 0x40000000U, 0x40000040U, 0x40004000U, 0x40004040U, 0x40004000U, 0x40004040U, + 0x40400000U, 0x40400040U, 0x40400000U, 0x40400040U, 0x40404000U, 0x40404040U, 0x40404000U, 0x40404040U, + 0x40400000U, 0x40400040U, 0x40400000U, 0x40400040U, 0x40404000U, 0x40404040U, 0x40404000U, 0x40404040U, + 0x40000000U, 0x40000040U, 0x40000000U, 0x40000040U, 0x40004000U, 0x40004040U, 0x40004000U, 0x40004040U, + 0x40000000U, 0x40000040U, 0x40000000U, 0x40000040U, 0x40004000U, 0x40004040U, 0x40004000U, 0x40004040U, + 0x40400000U, 0x40400040U, 0x40400000U, 0x40400040U, 0x40404000U, 0x40404040U, 0x40404000U, 0x40404040U, + 0x40400000U, 0x40400040U, 0x40400000U, 0x40400040U, 0x40404000U, 0x40404040U, 0x40404000U, 0x40404040U, + 0x00000000U, 0x00000040U, 0x00000000U, 0x00000040U, 0x00004000U, 0x00004040U, 0x00004000U, 0x00004040U, + 0x00000000U, 0x00000040U, 0x00000000U, 0x00000040U, 0x00004000U, 0x00004040U, 0x00004000U, 0x00004040U, + 0x00400000U, 0x00400040U, 0x00400000U, 0x00400040U, 0x00404000U, 0x00404040U, 0x00404000U, 0x00404040U, + 0x00400000U, 0x00400040U, 0x00400000U, 0x00400040U, 0x00404000U, 0x00404040U, 0x00404000U, 0x00404040U, + 0x00000000U, 0x00000040U, 0x00000000U, 0x00000040U, 0x00004000U, 0x00004040U, 0x00004000U, 0x00004040U, + 0x00000000U, 0x00000040U, 0x00000000U, 0x00000040U, 0x00004000U, 0x00004040U, 0x00004000U, 0x00004040U, + 0x00400000U, 0x00400040U, 0x00400000U, 0x00400040U, 0x00404000U, 0x00404040U, 0x00404000U, 0x00404040U, + 0x00400000U, 0x00400040U, 0x00400000U, 0x00400040U, 0x00404000U, 0x00404040U, 0x00404000U, 0x00404040U, + 0x40000000U, 0x40000040U, 0x40000000U, 0x40000040U, 0x40004000U, 0x40004040U, 0x40004000U, 0x40004040U, + 0x40000000U, 0x40000040U, 0x40000000U, 0x40000040U, 0x40004000U, 0x40004040U, 0x40004000U, 0x40004040U, + 0x40400000U, 0x40400040U, 0x40400000U, 0x40400040U, 0x40404000U, 0x40404040U, 0x40404000U, 0x40404040U, + 0x40400000U, 0x40400040U, 0x40400000U, 0x40400040U, 0x40404000U, 0x40404040U, 0x40404000U, 0x40404040U, + 0x40000000U, 0x40000040U, 0x40000000U, 0x40000040U, 0x40004000U, 0x40004040U, 0x40004000U, 0x40004040U, + 0x40000000U, 0x40000040U, 0x40000000U, 0x40000040U, 0x40004000U, 0x40004040U, 0x40004000U, 0x40004040U, + 0x40400000U, 0x40400040U, 0x40400000U, 0x40400040U, 0x40404000U, 0x40404040U, 0x40404000U, 0x40404040U, + 0x40400000U, 0x40400040U, 0x40400000U, 0x40400040U, 0x40404000U, 0x40404040U, 0x40404000U, 0x40404040U, +}, +{ + 0x00000000U, 0x00000080U, 0x00000000U, 0x00000080U, 0x00008000U, 0x00008080U, 0x00008000U, 0x00008080U, + 0x00000000U, 0x00000080U, 0x00000000U, 0x00000080U, 0x00008000U, 0x00008080U, 0x00008000U, 0x00008080U, + 0x00800000U, 0x00800080U, 0x00800000U, 0x00800080U, 0x00808000U, 0x00808080U, 0x00808000U, 0x00808080U, + 0x00800000U, 0x00800080U, 0x00800000U, 0x00800080U, 0x00808000U, 0x00808080U, 0x00808000U, 0x00808080U, + 0x00000000U, 0x00000080U, 0x00000000U, 0x00000080U, 0x00008000U, 0x00008080U, 0x00008000U, 0x00008080U, + 0x00000000U, 0x00000080U, 0x00000000U, 0x00000080U, 0x00008000U, 0x00008080U, 0x00008000U, 0x00008080U, + 0x00800000U, 0x00800080U, 0x00800000U, 0x00800080U, 0x00808000U, 0x00808080U, 0x00808000U, 0x00808080U, + 0x00800000U, 0x00800080U, 0x00800000U, 0x00800080U, 0x00808000U, 0x00808080U, 0x00808000U, 0x00808080U, + 0x80000000U, 0x80000080U, 0x80000000U, 0x80000080U, 0x80008000U, 0x80008080U, 0x80008000U, 0x80008080U, + 0x80000000U, 0x80000080U, 0x80000000U, 0x80000080U, 0x80008000U, 0x80008080U, 0x80008000U, 0x80008080U, + 0x80800000U, 0x80800080U, 0x80800000U, 0x80800080U, 0x80808000U, 0x80808080U, 0x80808000U, 0x80808080U, + 0x80800000U, 0x80800080U, 0x80800000U, 0x80800080U, 0x80808000U, 0x80808080U, 0x80808000U, 0x80808080U, + 0x80000000U, 0x80000080U, 0x80000000U, 0x80000080U, 0x80008000U, 0x80008080U, 0x80008000U, 0x80008080U, + 0x80000000U, 0x80000080U, 0x80000000U, 0x80000080U, 0x80008000U, 0x80008080U, 0x80008000U, 0x80008080U, + 0x80800000U, 0x80800080U, 0x80800000U, 0x80800080U, 0x80808000U, 0x80808080U, 0x80808000U, 0x80808080U, + 0x80800000U, 0x80800080U, 0x80800000U, 0x80800080U, 0x80808000U, 0x80808080U, 0x80808000U, 0x80808080U, + 0x00000000U, 0x00000080U, 0x00000000U, 0x00000080U, 0x00008000U, 0x00008080U, 0x00008000U, 0x00008080U, + 0x00000000U, 0x00000080U, 0x00000000U, 0x00000080U, 0x00008000U, 0x00008080U, 0x00008000U, 0x00008080U, + 0x00800000U, 0x00800080U, 0x00800000U, 0x00800080U, 0x00808000U, 0x00808080U, 0x00808000U, 0x00808080U, + 0x00800000U, 0x00800080U, 0x00800000U, 0x00800080U, 0x00808000U, 0x00808080U, 0x00808000U, 0x00808080U, + 0x00000000U, 0x00000080U, 0x00000000U, 0x00000080U, 0x00008000U, 0x00008080U, 0x00008000U, 0x00008080U, + 0x00000000U, 0x00000080U, 0x00000000U, 0x00000080U, 0x00008000U, 0x00008080U, 0x00008000U, 0x00008080U, + 0x00800000U, 0x00800080U, 0x00800000U, 0x00800080U, 0x00808000U, 0x00808080U, 0x00808000U, 0x00808080U, + 0x00800000U, 0x00800080U, 0x00800000U, 0x00800080U, 0x00808000U, 0x00808080U, 0x00808000U, 0x00808080U, + 0x80000000U, 0x80000080U, 0x80000000U, 0x80000080U, 0x80008000U, 0x80008080U, 0x80008000U, 0x80008080U, + 0x80000000U, 0x80000080U, 0x80000000U, 0x80000080U, 0x80008000U, 0x80008080U, 0x80008000U, 0x80008080U, + 0x80800000U, 0x80800080U, 0x80800000U, 0x80800080U, 0x80808000U, 0x80808080U, 0x80808000U, 0x80808080U, + 0x80800000U, 0x80800080U, 0x80800000U, 0x80800080U, 0x80808000U, 0x80808080U, 0x80808000U, 0x80808080U, + 0x80000000U, 0x80000080U, 0x80000000U, 0x80000080U, 0x80008000U, 0x80008080U, 0x80008000U, 0x80008080U, + 0x80000000U, 0x80000080U, 0x80000000U, 0x80000080U, 0x80008000U, 0x80008080U, 0x80008000U, 0x80008080U, + 0x80800000U, 0x80800080U, 0x80800000U, 0x80800080U, 0x80808000U, 0x80808080U, 0x80808000U, 0x80808080U, + 0x80800000U, 0x80800080U, 0x80800000U, 0x80800080U, 0x80808000U, 0x80808080U, 0x80808000U, 0x80808080U, +}, +}; + +static const uint32_t IPR[8][256] = { +{ + 0x00000000U, 0x00000000U, 0x00000001U, 0x00000001U, 0x00000000U, 0x00000000U, 0x00000001U, 0x00000001U, + 0x00000100U, 0x00000100U, 0x00000101U, 0x00000101U, 0x00000100U, 0x00000100U, 0x00000101U, 0x00000101U, + 0x00000000U, 0x00000000U, 0x00000001U, 0x00000001U, 0x00000000U, 0x00000000U, 0x00000001U, 0x00000001U, + 0x00000100U, 0x00000100U, 0x00000101U, 0x00000101U, 0x00000100U, 0x00000100U, 0x00000101U, 0x00000101U, + 0x00010000U, 0x00010000U, 0x00010001U, 0x00010001U, 0x00010000U, 0x00010000U, 0x00010001U, 0x00010001U, + 0x00010100U, 0x00010100U, 0x00010101U, 0x00010101U, 0x00010100U, 0x00010100U, 0x00010101U, 0x00010101U, + 0x00010000U, 0x00010000U, 0x00010001U, 0x00010001U, 0x00010000U, 0x00010000U, 0x00010001U, 0x00010001U, + 0x00010100U, 0x00010100U, 0x00010101U, 0x00010101U, 0x00010100U, 0x00010100U, 0x00010101U, 0x00010101U, + 0x00000000U, 0x00000000U, 0x00000001U, 0x00000001U, 0x00000000U, 0x00000000U, 0x00000001U, 0x00000001U, + 0x00000100U, 0x00000100U, 0x00000101U, 0x00000101U, 0x00000100U, 0x00000100U, 0x00000101U, 0x00000101U, + 0x00000000U, 0x00000000U, 0x00000001U, 0x00000001U, 0x00000000U, 0x00000000U, 0x00000001U, 0x00000001U, + 0x00000100U, 0x00000100U, 0x00000101U, 0x00000101U, 0x00000100U, 0x00000100U, 0x00000101U, 0x00000101U, + 0x00010000U, 0x00010000U, 0x00010001U, 0x00010001U, 0x00010000U, 0x00010000U, 0x00010001U, 0x00010001U, + 0x00010100U, 0x00010100U, 0x00010101U, 0x00010101U, 0x00010100U, 0x00010100U, 0x00010101U, 0x00010101U, + 0x00010000U, 0x00010000U, 0x00010001U, 0x00010001U, 0x00010000U, 0x00010000U, 0x00010001U, 0x00010001U, + 0x00010100U, 0x00010100U, 0x00010101U, 0x00010101U, 0x00010100U, 0x00010100U, 0x00010101U, 0x00010101U, + 0x01000000U, 0x01000000U, 0x01000001U, 0x01000001U, 0x01000000U, 0x01000000U, 0x01000001U, 0x01000001U, + 0x01000100U, 0x01000100U, 0x01000101U, 0x01000101U, 0x01000100U, 0x01000100U, 0x01000101U, 0x01000101U, + 0x01000000U, 0x01000000U, 0x01000001U, 0x01000001U, 0x01000000U, 0x01000000U, 0x01000001U, 0x01000001U, + 0x01000100U, 0x01000100U, 0x01000101U, 0x01000101U, 0x01000100U, 0x01000100U, 0x01000101U, 0x01000101U, + 0x01010000U, 0x01010000U, 0x01010001U, 0x01010001U, 0x01010000U, 0x01010000U, 0x01010001U, 0x01010001U, + 0x01010100U, 0x01010100U, 0x01010101U, 0x01010101U, 0x01010100U, 0x01010100U, 0x01010101U, 0x01010101U, + 0x01010000U, 0x01010000U, 0x01010001U, 0x01010001U, 0x01010000U, 0x01010000U, 0x01010001U, 0x01010001U, + 0x01010100U, 0x01010100U, 0x01010101U, 0x01010101U, 0x01010100U, 0x01010100U, 0x01010101U, 0x01010101U, + 0x01000000U, 0x01000000U, 0x01000001U, 0x01000001U, 0x01000000U, 0x01000000U, 0x01000001U, 0x01000001U, + 0x01000100U, 0x01000100U, 0x01000101U, 0x01000101U, 0x01000100U, 0x01000100U, 0x01000101U, 0x01000101U, + 0x01000000U, 0x01000000U, 0x01000001U, 0x01000001U, 0x01000000U, 0x01000000U, 0x01000001U, 0x01000001U, + 0x01000100U, 0x01000100U, 0x01000101U, 0x01000101U, 0x01000100U, 0x01000100U, 0x01000101U, 0x01000101U, + 0x01010000U, 0x01010000U, 0x01010001U, 0x01010001U, 0x01010000U, 0x01010000U, 0x01010001U, 0x01010001U, + 0x01010100U, 0x01010100U, 0x01010101U, 0x01010101U, 0x01010100U, 0x01010100U, 0x01010101U, 0x01010101U, + 0x01010000U, 0x01010000U, 0x01010001U, 0x01010001U, 0x01010000U, 0x01010000U, 0x01010001U, 0x01010001U, + 0x01010100U, 0x01010100U, 0x01010101U, 0x01010101U, 0x01010100U, 0x01010100U, 0x01010101U, 0x01010101U, +}, +{ + 0x00000000U, 0x00000000U, 0x00000002U, 0x00000002U, 0x00000000U, 0x00000000U, 0x00000002U, 0x00000002U, + 0x00000200U, 0x00000200U, 0x00000202U, 0x00000202U, 0x00000200U, 0x00000200U, 0x00000202U, 0x00000202U, + 0x00000000U, 0x00000000U, 0x00000002U, 0x00000002U, 0x00000000U, 0x00000000U, 0x00000002U, 0x00000002U, + 0x00000200U, 0x00000200U, 0x00000202U, 0x00000202U, 0x00000200U, 0x00000200U, 0x00000202U, 0x00000202U, + 0x00020000U, 0x00020000U, 0x00020002U, 0x00020002U, 0x00020000U, 0x00020000U, 0x00020002U, 0x00020002U, + 0x00020200U, 0x00020200U, 0x00020202U, 0x00020202U, 0x00020200U, 0x00020200U, 0x00020202U, 0x00020202U, + 0x00020000U, 0x00020000U, 0x00020002U, 0x00020002U, 0x00020000U, 0x00020000U, 0x00020002U, 0x00020002U, + 0x00020200U, 0x00020200U, 0x00020202U, 0x00020202U, 0x00020200U, 0x00020200U, 0x00020202U, 0x00020202U, + 0x00000000U, 0x00000000U, 0x00000002U, 0x00000002U, 0x00000000U, 0x00000000U, 0x00000002U, 0x00000002U, + 0x00000200U, 0x00000200U, 0x00000202U, 0x00000202U, 0x00000200U, 0x00000200U, 0x00000202U, 0x00000202U, + 0x00000000U, 0x00000000U, 0x00000002U, 0x00000002U, 0x00000000U, 0x00000000U, 0x00000002U, 0x00000002U, + 0x00000200U, 0x00000200U, 0x00000202U, 0x00000202U, 0x00000200U, 0x00000200U, 0x00000202U, 0x00000202U, + 0x00020000U, 0x00020000U, 0x00020002U, 0x00020002U, 0x00020000U, 0x00020000U, 0x00020002U, 0x00020002U, + 0x00020200U, 0x00020200U, 0x00020202U, 0x00020202U, 0x00020200U, 0x00020200U, 0x00020202U, 0x00020202U, + 0x00020000U, 0x00020000U, 0x00020002U, 0x00020002U, 0x00020000U, 0x00020000U, 0x00020002U, 0x00020002U, + 0x00020200U, 0x00020200U, 0x00020202U, 0x00020202U, 0x00020200U, 0x00020200U, 0x00020202U, 0x00020202U, + 0x02000000U, 0x02000000U, 0x02000002U, 0x02000002U, 0x02000000U, 0x02000000U, 0x02000002U, 0x02000002U, + 0x02000200U, 0x02000200U, 0x02000202U, 0x02000202U, 0x02000200U, 0x02000200U, 0x02000202U, 0x02000202U, + 0x02000000U, 0x02000000U, 0x02000002U, 0x02000002U, 0x02000000U, 0x02000000U, 0x02000002U, 0x02000002U, + 0x02000200U, 0x02000200U, 0x02000202U, 0x02000202U, 0x02000200U, 0x02000200U, 0x02000202U, 0x02000202U, + 0x02020000U, 0x02020000U, 0x02020002U, 0x02020002U, 0x02020000U, 0x02020000U, 0x02020002U, 0x02020002U, + 0x02020200U, 0x02020200U, 0x02020202U, 0x02020202U, 0x02020200U, 0x02020200U, 0x02020202U, 0x02020202U, + 0x02020000U, 0x02020000U, 0x02020002U, 0x02020002U, 0x02020000U, 0x02020000U, 0x02020002U, 0x02020002U, + 0x02020200U, 0x02020200U, 0x02020202U, 0x02020202U, 0x02020200U, 0x02020200U, 0x02020202U, 0x02020202U, + 0x02000000U, 0x02000000U, 0x02000002U, 0x02000002U, 0x02000000U, 0x02000000U, 0x02000002U, 0x02000002U, + 0x02000200U, 0x02000200U, 0x02000202U, 0x02000202U, 0x02000200U, 0x02000200U, 0x02000202U, 0x02000202U, + 0x02000000U, 0x02000000U, 0x02000002U, 0x02000002U, 0x02000000U, 0x02000000U, 0x02000002U, 0x02000002U, + 0x02000200U, 0x02000200U, 0x02000202U, 0x02000202U, 0x02000200U, 0x02000200U, 0x02000202U, 0x02000202U, + 0x02020000U, 0x02020000U, 0x02020002U, 0x02020002U, 0x02020000U, 0x02020000U, 0x02020002U, 0x02020002U, + 0x02020200U, 0x02020200U, 0x02020202U, 0x02020202U, 0x02020200U, 0x02020200U, 0x02020202U, 0x02020202U, + 0x02020000U, 0x02020000U, 0x02020002U, 0x02020002U, 0x02020000U, 0x02020000U, 0x02020002U, 0x02020002U, + 0x02020200U, 0x02020200U, 0x02020202U, 0x02020202U, 0x02020200U, 0x02020200U, 0x02020202U, 0x02020202U, +}, +{ + 0x00000000U, 0x00000000U, 0x00000004U, 0x00000004U, 0x00000000U, 0x00000000U, 0x00000004U, 0x00000004U, + 0x00000400U, 0x00000400U, 0x00000404U, 0x00000404U, 0x00000400U, 0x00000400U, 0x00000404U, 0x00000404U, + 0x00000000U, 0x00000000U, 0x00000004U, 0x00000004U, 0x00000000U, 0x00000000U, 0x00000004U, 0x00000004U, + 0x00000400U, 0x00000400U, 0x00000404U, 0x00000404U, 0x00000400U, 0x00000400U, 0x00000404U, 0x00000404U, + 0x00040000U, 0x00040000U, 0x00040004U, 0x00040004U, 0x00040000U, 0x00040000U, 0x00040004U, 0x00040004U, + 0x00040400U, 0x00040400U, 0x00040404U, 0x00040404U, 0x00040400U, 0x00040400U, 0x00040404U, 0x00040404U, + 0x00040000U, 0x00040000U, 0x00040004U, 0x00040004U, 0x00040000U, 0x00040000U, 0x00040004U, 0x00040004U, + 0x00040400U, 0x00040400U, 0x00040404U, 0x00040404U, 0x00040400U, 0x00040400U, 0x00040404U, 0x00040404U, + 0x00000000U, 0x00000000U, 0x00000004U, 0x00000004U, 0x00000000U, 0x00000000U, 0x00000004U, 0x00000004U, + 0x00000400U, 0x00000400U, 0x00000404U, 0x00000404U, 0x00000400U, 0x00000400U, 0x00000404U, 0x00000404U, + 0x00000000U, 0x00000000U, 0x00000004U, 0x00000004U, 0x00000000U, 0x00000000U, 0x00000004U, 0x00000004U, + 0x00000400U, 0x00000400U, 0x00000404U, 0x00000404U, 0x00000400U, 0x00000400U, 0x00000404U, 0x00000404U, + 0x00040000U, 0x00040000U, 0x00040004U, 0x00040004U, 0x00040000U, 0x00040000U, 0x00040004U, 0x00040004U, + 0x00040400U, 0x00040400U, 0x00040404U, 0x00040404U, 0x00040400U, 0x00040400U, 0x00040404U, 0x00040404U, + 0x00040000U, 0x00040000U, 0x00040004U, 0x00040004U, 0x00040000U, 0x00040000U, 0x00040004U, 0x00040004U, + 0x00040400U, 0x00040400U, 0x00040404U, 0x00040404U, 0x00040400U, 0x00040400U, 0x00040404U, 0x00040404U, + 0x04000000U, 0x04000000U, 0x04000004U, 0x04000004U, 0x04000000U, 0x04000000U, 0x04000004U, 0x04000004U, + 0x04000400U, 0x04000400U, 0x04000404U, 0x04000404U, 0x04000400U, 0x04000400U, 0x04000404U, 0x04000404U, + 0x04000000U, 0x04000000U, 0x04000004U, 0x04000004U, 0x04000000U, 0x04000000U, 0x04000004U, 0x04000004U, + 0x04000400U, 0x04000400U, 0x04000404U, 0x04000404U, 0x04000400U, 0x04000400U, 0x04000404U, 0x04000404U, + 0x04040000U, 0x04040000U, 0x04040004U, 0x04040004U, 0x04040000U, 0x04040000U, 0x04040004U, 0x04040004U, + 0x04040400U, 0x04040400U, 0x04040404U, 0x04040404U, 0x04040400U, 0x04040400U, 0x04040404U, 0x04040404U, + 0x04040000U, 0x04040000U, 0x04040004U, 0x04040004U, 0x04040000U, 0x04040000U, 0x04040004U, 0x04040004U, + 0x04040400U, 0x04040400U, 0x04040404U, 0x04040404U, 0x04040400U, 0x04040400U, 0x04040404U, 0x04040404U, + 0x04000000U, 0x04000000U, 0x04000004U, 0x04000004U, 0x04000000U, 0x04000000U, 0x04000004U, 0x04000004U, + 0x04000400U, 0x04000400U, 0x04000404U, 0x04000404U, 0x04000400U, 0x04000400U, 0x04000404U, 0x04000404U, + 0x04000000U, 0x04000000U, 0x04000004U, 0x04000004U, 0x04000000U, 0x04000000U, 0x04000004U, 0x04000004U, + 0x04000400U, 0x04000400U, 0x04000404U, 0x04000404U, 0x04000400U, 0x04000400U, 0x04000404U, 0x04000404U, + 0x04040000U, 0x04040000U, 0x04040004U, 0x04040004U, 0x04040000U, 0x04040000U, 0x04040004U, 0x04040004U, + 0x04040400U, 0x04040400U, 0x04040404U, 0x04040404U, 0x04040400U, 0x04040400U, 0x04040404U, 0x04040404U, + 0x04040000U, 0x04040000U, 0x04040004U, 0x04040004U, 0x04040000U, 0x04040000U, 0x04040004U, 0x04040004U, + 0x04040400U, 0x04040400U, 0x04040404U, 0x04040404U, 0x04040400U, 0x04040400U, 0x04040404U, 0x04040404U, +}, +{ + 0x00000000U, 0x00000000U, 0x00000008U, 0x00000008U, 0x00000000U, 0x00000000U, 0x00000008U, 0x00000008U, + 0x00000800U, 0x00000800U, 0x00000808U, 0x00000808U, 0x00000800U, 0x00000800U, 0x00000808U, 0x00000808U, + 0x00000000U, 0x00000000U, 0x00000008U, 0x00000008U, 0x00000000U, 0x00000000U, 0x00000008U, 0x00000008U, + 0x00000800U, 0x00000800U, 0x00000808U, 0x00000808U, 0x00000800U, 0x00000800U, 0x00000808U, 0x00000808U, + 0x00080000U, 0x00080000U, 0x00080008U, 0x00080008U, 0x00080000U, 0x00080000U, 0x00080008U, 0x00080008U, + 0x00080800U, 0x00080800U, 0x00080808U, 0x00080808U, 0x00080800U, 0x00080800U, 0x00080808U, 0x00080808U, + 0x00080000U, 0x00080000U, 0x00080008U, 0x00080008U, 0x00080000U, 0x00080000U, 0x00080008U, 0x00080008U, + 0x00080800U, 0x00080800U, 0x00080808U, 0x00080808U, 0x00080800U, 0x00080800U, 0x00080808U, 0x00080808U, + 0x00000000U, 0x00000000U, 0x00000008U, 0x00000008U, 0x00000000U, 0x00000000U, 0x00000008U, 0x00000008U, + 0x00000800U, 0x00000800U, 0x00000808U, 0x00000808U, 0x00000800U, 0x00000800U, 0x00000808U, 0x00000808U, + 0x00000000U, 0x00000000U, 0x00000008U, 0x00000008U, 0x00000000U, 0x00000000U, 0x00000008U, 0x00000008U, + 0x00000800U, 0x00000800U, 0x00000808U, 0x00000808U, 0x00000800U, 0x00000800U, 0x00000808U, 0x00000808U, + 0x00080000U, 0x00080000U, 0x00080008U, 0x00080008U, 0x00080000U, 0x00080000U, 0x00080008U, 0x00080008U, + 0x00080800U, 0x00080800U, 0x00080808U, 0x00080808U, 0x00080800U, 0x00080800U, 0x00080808U, 0x00080808U, + 0x00080000U, 0x00080000U, 0x00080008U, 0x00080008U, 0x00080000U, 0x00080000U, 0x00080008U, 0x00080008U, + 0x00080800U, 0x00080800U, 0x00080808U, 0x00080808U, 0x00080800U, 0x00080800U, 0x00080808U, 0x00080808U, + 0x08000000U, 0x08000000U, 0x08000008U, 0x08000008U, 0x08000000U, 0x08000000U, 0x08000008U, 0x08000008U, + 0x08000800U, 0x08000800U, 0x08000808U, 0x08000808U, 0x08000800U, 0x08000800U, 0x08000808U, 0x08000808U, + 0x08000000U, 0x08000000U, 0x08000008U, 0x08000008U, 0x08000000U, 0x08000000U, 0x08000008U, 0x08000008U, + 0x08000800U, 0x08000800U, 0x08000808U, 0x08000808U, 0x08000800U, 0x08000800U, 0x08000808U, 0x08000808U, + 0x08080000U, 0x08080000U, 0x08080008U, 0x08080008U, 0x08080000U, 0x08080000U, 0x08080008U, 0x08080008U, + 0x08080800U, 0x08080800U, 0x08080808U, 0x08080808U, 0x08080800U, 0x08080800U, 0x08080808U, 0x08080808U, + 0x08080000U, 0x08080000U, 0x08080008U, 0x08080008U, 0x08080000U, 0x08080000U, 0x08080008U, 0x08080008U, + 0x08080800U, 0x08080800U, 0x08080808U, 0x08080808U, 0x08080800U, 0x08080800U, 0x08080808U, 0x08080808U, + 0x08000000U, 0x08000000U, 0x08000008U, 0x08000008U, 0x08000000U, 0x08000000U, 0x08000008U, 0x08000008U, + 0x08000800U, 0x08000800U, 0x08000808U, 0x08000808U, 0x08000800U, 0x08000800U, 0x08000808U, 0x08000808U, + 0x08000000U, 0x08000000U, 0x08000008U, 0x08000008U, 0x08000000U, 0x08000000U, 0x08000008U, 0x08000008U, + 0x08000800U, 0x08000800U, 0x08000808U, 0x08000808U, 0x08000800U, 0x08000800U, 0x08000808U, 0x08000808U, + 0x08080000U, 0x08080000U, 0x08080008U, 0x08080008U, 0x08080000U, 0x08080000U, 0x08080008U, 0x08080008U, + 0x08080800U, 0x08080800U, 0x08080808U, 0x08080808U, 0x08080800U, 0x08080800U, 0x08080808U, 0x08080808U, + 0x08080000U, 0x08080000U, 0x08080008U, 0x08080008U, 0x08080000U, 0x08080000U, 0x08080008U, 0x08080008U, + 0x08080800U, 0x08080800U, 0x08080808U, 0x08080808U, 0x08080800U, 0x08080800U, 0x08080808U, 0x08080808U, +}, +{ + 0x00000000U, 0x00000000U, 0x00000010U, 0x00000010U, 0x00000000U, 0x00000000U, 0x00000010U, 0x00000010U, + 0x00001000U, 0x00001000U, 0x00001010U, 0x00001010U, 0x00001000U, 0x00001000U, 0x00001010U, 0x00001010U, + 0x00000000U, 0x00000000U, 0x00000010U, 0x00000010U, 0x00000000U, 0x00000000U, 0x00000010U, 0x00000010U, + 0x00001000U, 0x00001000U, 0x00001010U, 0x00001010U, 0x00001000U, 0x00001000U, 0x00001010U, 0x00001010U, + 0x00100000U, 0x00100000U, 0x00100010U, 0x00100010U, 0x00100000U, 0x00100000U, 0x00100010U, 0x00100010U, + 0x00101000U, 0x00101000U, 0x00101010U, 0x00101010U, 0x00101000U, 0x00101000U, 0x00101010U, 0x00101010U, + 0x00100000U, 0x00100000U, 0x00100010U, 0x00100010U, 0x00100000U, 0x00100000U, 0x00100010U, 0x00100010U, + 0x00101000U, 0x00101000U, 0x00101010U, 0x00101010U, 0x00101000U, 0x00101000U, 0x00101010U, 0x00101010U, + 0x00000000U, 0x00000000U, 0x00000010U, 0x00000010U, 0x00000000U, 0x00000000U, 0x00000010U, 0x00000010U, + 0x00001000U, 0x00001000U, 0x00001010U, 0x00001010U, 0x00001000U, 0x00001000U, 0x00001010U, 0x00001010U, + 0x00000000U, 0x00000000U, 0x00000010U, 0x00000010U, 0x00000000U, 0x00000000U, 0x00000010U, 0x00000010U, + 0x00001000U, 0x00001000U, 0x00001010U, 0x00001010U, 0x00001000U, 0x00001000U, 0x00001010U, 0x00001010U, + 0x00100000U, 0x00100000U, 0x00100010U, 0x00100010U, 0x00100000U, 0x00100000U, 0x00100010U, 0x00100010U, + 0x00101000U, 0x00101000U, 0x00101010U, 0x00101010U, 0x00101000U, 0x00101000U, 0x00101010U, 0x00101010U, + 0x00100000U, 0x00100000U, 0x00100010U, 0x00100010U, 0x00100000U, 0x00100000U, 0x00100010U, 0x00100010U, + 0x00101000U, 0x00101000U, 0x00101010U, 0x00101010U, 0x00101000U, 0x00101000U, 0x00101010U, 0x00101010U, + 0x10000000U, 0x10000000U, 0x10000010U, 0x10000010U, 0x10000000U, 0x10000000U, 0x10000010U, 0x10000010U, + 0x10001000U, 0x10001000U, 0x10001010U, 0x10001010U, 0x10001000U, 0x10001000U, 0x10001010U, 0x10001010U, + 0x10000000U, 0x10000000U, 0x10000010U, 0x10000010U, 0x10000000U, 0x10000000U, 0x10000010U, 0x10000010U, + 0x10001000U, 0x10001000U, 0x10001010U, 0x10001010U, 0x10001000U, 0x10001000U, 0x10001010U, 0x10001010U, + 0x10100000U, 0x10100000U, 0x10100010U, 0x10100010U, 0x10100000U, 0x10100000U, 0x10100010U, 0x10100010U, + 0x10101000U, 0x10101000U, 0x10101010U, 0x10101010U, 0x10101000U, 0x10101000U, 0x10101010U, 0x10101010U, + 0x10100000U, 0x10100000U, 0x10100010U, 0x10100010U, 0x10100000U, 0x10100000U, 0x10100010U, 0x10100010U, + 0x10101000U, 0x10101000U, 0x10101010U, 0x10101010U, 0x10101000U, 0x10101000U, 0x10101010U, 0x10101010U, + 0x10000000U, 0x10000000U, 0x10000010U, 0x10000010U, 0x10000000U, 0x10000000U, 0x10000010U, 0x10000010U, + 0x10001000U, 0x10001000U, 0x10001010U, 0x10001010U, 0x10001000U, 0x10001000U, 0x10001010U, 0x10001010U, + 0x10000000U, 0x10000000U, 0x10000010U, 0x10000010U, 0x10000000U, 0x10000000U, 0x10000010U, 0x10000010U, + 0x10001000U, 0x10001000U, 0x10001010U, 0x10001010U, 0x10001000U, 0x10001000U, 0x10001010U, 0x10001010U, + 0x10100000U, 0x10100000U, 0x10100010U, 0x10100010U, 0x10100000U, 0x10100000U, 0x10100010U, 0x10100010U, + 0x10101000U, 0x10101000U, 0x10101010U, 0x10101010U, 0x10101000U, 0x10101000U, 0x10101010U, 0x10101010U, + 0x10100000U, 0x10100000U, 0x10100010U, 0x10100010U, 0x10100000U, 0x10100000U, 0x10100010U, 0x10100010U, + 0x10101000U, 0x10101000U, 0x10101010U, 0x10101010U, 0x10101000U, 0x10101000U, 0x10101010U, 0x10101010U, +}, +{ + 0x00000000U, 0x00000000U, 0x00000020U, 0x00000020U, 0x00000000U, 0x00000000U, 0x00000020U, 0x00000020U, + 0x00002000U, 0x00002000U, 0x00002020U, 0x00002020U, 0x00002000U, 0x00002000U, 0x00002020U, 0x00002020U, + 0x00000000U, 0x00000000U, 0x00000020U, 0x00000020U, 0x00000000U, 0x00000000U, 0x00000020U, 0x00000020U, + 0x00002000U, 0x00002000U, 0x00002020U, 0x00002020U, 0x00002000U, 0x00002000U, 0x00002020U, 0x00002020U, + 0x00200000U, 0x00200000U, 0x00200020U, 0x00200020U, 0x00200000U, 0x00200000U, 0x00200020U, 0x00200020U, + 0x00202000U, 0x00202000U, 0x00202020U, 0x00202020U, 0x00202000U, 0x00202000U, 0x00202020U, 0x00202020U, + 0x00200000U, 0x00200000U, 0x00200020U, 0x00200020U, 0x00200000U, 0x00200000U, 0x00200020U, 0x00200020U, + 0x00202000U, 0x00202000U, 0x00202020U, 0x00202020U, 0x00202000U, 0x00202000U, 0x00202020U, 0x00202020U, + 0x00000000U, 0x00000000U, 0x00000020U, 0x00000020U, 0x00000000U, 0x00000000U, 0x00000020U, 0x00000020U, + 0x00002000U, 0x00002000U, 0x00002020U, 0x00002020U, 0x00002000U, 0x00002000U, 0x00002020U, 0x00002020U, + 0x00000000U, 0x00000000U, 0x00000020U, 0x00000020U, 0x00000000U, 0x00000000U, 0x00000020U, 0x00000020U, + 0x00002000U, 0x00002000U, 0x00002020U, 0x00002020U, 0x00002000U, 0x00002000U, 0x00002020U, 0x00002020U, + 0x00200000U, 0x00200000U, 0x00200020U, 0x00200020U, 0x00200000U, 0x00200000U, 0x00200020U, 0x00200020U, + 0x00202000U, 0x00202000U, 0x00202020U, 0x00202020U, 0x00202000U, 0x00202000U, 0x00202020U, 0x00202020U, + 0x00200000U, 0x00200000U, 0x00200020U, 0x00200020U, 0x00200000U, 0x00200000U, 0x00200020U, 0x00200020U, + 0x00202000U, 0x00202000U, 0x00202020U, 0x00202020U, 0x00202000U, 0x00202000U, 0x00202020U, 0x00202020U, + 0x20000000U, 0x20000000U, 0x20000020U, 0x20000020U, 0x20000000U, 0x20000000U, 0x20000020U, 0x20000020U, + 0x20002000U, 0x20002000U, 0x20002020U, 0x20002020U, 0x20002000U, 0x20002000U, 0x20002020U, 0x20002020U, + 0x20000000U, 0x20000000U, 0x20000020U, 0x20000020U, 0x20000000U, 0x20000000U, 0x20000020U, 0x20000020U, + 0x20002000U, 0x20002000U, 0x20002020U, 0x20002020U, 0x20002000U, 0x20002000U, 0x20002020U, 0x20002020U, + 0x20200000U, 0x20200000U, 0x20200020U, 0x20200020U, 0x20200000U, 0x20200000U, 0x20200020U, 0x20200020U, + 0x20202000U, 0x20202000U, 0x20202020U, 0x20202020U, 0x20202000U, 0x20202000U, 0x20202020U, 0x20202020U, + 0x20200000U, 0x20200000U, 0x20200020U, 0x20200020U, 0x20200000U, 0x20200000U, 0x20200020U, 0x20200020U, + 0x20202000U, 0x20202000U, 0x20202020U, 0x20202020U, 0x20202000U, 0x20202000U, 0x20202020U, 0x20202020U, + 0x20000000U, 0x20000000U, 0x20000020U, 0x20000020U, 0x20000000U, 0x20000000U, 0x20000020U, 0x20000020U, + 0x20002000U, 0x20002000U, 0x20002020U, 0x20002020U, 0x20002000U, 0x20002000U, 0x20002020U, 0x20002020U, + 0x20000000U, 0x20000000U, 0x20000020U, 0x20000020U, 0x20000000U, 0x20000000U, 0x20000020U, 0x20000020U, + 0x20002000U, 0x20002000U, 0x20002020U, 0x20002020U, 0x20002000U, 0x20002000U, 0x20002020U, 0x20002020U, + 0x20200000U, 0x20200000U, 0x20200020U, 0x20200020U, 0x20200000U, 0x20200000U, 0x20200020U, 0x20200020U, + 0x20202000U, 0x20202000U, 0x20202020U, 0x20202020U, 0x20202000U, 0x20202000U, 0x20202020U, 0x20202020U, + 0x20200000U, 0x20200000U, 0x20200020U, 0x20200020U, 0x20200000U, 0x20200000U, 0x20200020U, 0x20200020U, + 0x20202000U, 0x20202000U, 0x20202020U, 0x20202020U, 0x20202000U, 0x20202000U, 0x20202020U, 0x20202020U, +}, +{ + 0x00000000U, 0x00000000U, 0x00000040U, 0x00000040U, 0x00000000U, 0x00000000U, 0x00000040U, 0x00000040U, + 0x00004000U, 0x00004000U, 0x00004040U, 0x00004040U, 0x00004000U, 0x00004000U, 0x00004040U, 0x00004040U, + 0x00000000U, 0x00000000U, 0x00000040U, 0x00000040U, 0x00000000U, 0x00000000U, 0x00000040U, 0x00000040U, + 0x00004000U, 0x00004000U, 0x00004040U, 0x00004040U, 0x00004000U, 0x00004000U, 0x00004040U, 0x00004040U, + 0x00400000U, 0x00400000U, 0x00400040U, 0x00400040U, 0x00400000U, 0x00400000U, 0x00400040U, 0x00400040U, + 0x00404000U, 0x00404000U, 0x00404040U, 0x00404040U, 0x00404000U, 0x00404000U, 0x00404040U, 0x00404040U, + 0x00400000U, 0x00400000U, 0x00400040U, 0x00400040U, 0x00400000U, 0x00400000U, 0x00400040U, 0x00400040U, + 0x00404000U, 0x00404000U, 0x00404040U, 0x00404040U, 0x00404000U, 0x00404000U, 0x00404040U, 0x00404040U, + 0x00000000U, 0x00000000U, 0x00000040U, 0x00000040U, 0x00000000U, 0x00000000U, 0x00000040U, 0x00000040U, + 0x00004000U, 0x00004000U, 0x00004040U, 0x00004040U, 0x00004000U, 0x00004000U, 0x00004040U, 0x00004040U, + 0x00000000U, 0x00000000U, 0x00000040U, 0x00000040U, 0x00000000U, 0x00000000U, 0x00000040U, 0x00000040U, + 0x00004000U, 0x00004000U, 0x00004040U, 0x00004040U, 0x00004000U, 0x00004000U, 0x00004040U, 0x00004040U, + 0x00400000U, 0x00400000U, 0x00400040U, 0x00400040U, 0x00400000U, 0x00400000U, 0x00400040U, 0x00400040U, + 0x00404000U, 0x00404000U, 0x00404040U, 0x00404040U, 0x00404000U, 0x00404000U, 0x00404040U, 0x00404040U, + 0x00400000U, 0x00400000U, 0x00400040U, 0x00400040U, 0x00400000U, 0x00400000U, 0x00400040U, 0x00400040U, + 0x00404000U, 0x00404000U, 0x00404040U, 0x00404040U, 0x00404000U, 0x00404000U, 0x00404040U, 0x00404040U, + 0x40000000U, 0x40000000U, 0x40000040U, 0x40000040U, 0x40000000U, 0x40000000U, 0x40000040U, 0x40000040U, + 0x40004000U, 0x40004000U, 0x40004040U, 0x40004040U, 0x40004000U, 0x40004000U, 0x40004040U, 0x40004040U, + 0x40000000U, 0x40000000U, 0x40000040U, 0x40000040U, 0x40000000U, 0x40000000U, 0x40000040U, 0x40000040U, + 0x40004000U, 0x40004000U, 0x40004040U, 0x40004040U, 0x40004000U, 0x40004000U, 0x40004040U, 0x40004040U, + 0x40400000U, 0x40400000U, 0x40400040U, 0x40400040U, 0x40400000U, 0x40400000U, 0x40400040U, 0x40400040U, + 0x40404000U, 0x40404000U, 0x40404040U, 0x40404040U, 0x40404000U, 0x40404000U, 0x40404040U, 0x40404040U, + 0x40400000U, 0x40400000U, 0x40400040U, 0x40400040U, 0x40400000U, 0x40400000U, 0x40400040U, 0x40400040U, + 0x40404000U, 0x40404000U, 0x40404040U, 0x40404040U, 0x40404000U, 0x40404000U, 0x40404040U, 0x40404040U, + 0x40000000U, 0x40000000U, 0x40000040U, 0x40000040U, 0x40000000U, 0x40000000U, 0x40000040U, 0x40000040U, + 0x40004000U, 0x40004000U, 0x40004040U, 0x40004040U, 0x40004000U, 0x40004000U, 0x40004040U, 0x40004040U, + 0x40000000U, 0x40000000U, 0x40000040U, 0x40000040U, 0x40000000U, 0x40000000U, 0x40000040U, 0x40000040U, + 0x40004000U, 0x40004000U, 0x40004040U, 0x40004040U, 0x40004000U, 0x40004000U, 0x40004040U, 0x40004040U, + 0x40400000U, 0x40400000U, 0x40400040U, 0x40400040U, 0x40400000U, 0x40400000U, 0x40400040U, 0x40400040U, + 0x40404000U, 0x40404000U, 0x40404040U, 0x40404040U, 0x40404000U, 0x40404000U, 0x40404040U, 0x40404040U, + 0x40400000U, 0x40400000U, 0x40400040U, 0x40400040U, 0x40400000U, 0x40400000U, 0x40400040U, 0x40400040U, + 0x40404000U, 0x40404000U, 0x40404040U, 0x40404040U, 0x40404000U, 0x40404000U, 0x40404040U, 0x40404040U, +}, +{ + 0x00000000U, 0x00000000U, 0x00000080U, 0x00000080U, 0x00000000U, 0x00000000U, 0x00000080U, 0x00000080U, + 0x00008000U, 0x00008000U, 0x00008080U, 0x00008080U, 0x00008000U, 0x00008000U, 0x00008080U, 0x00008080U, + 0x00000000U, 0x00000000U, 0x00000080U, 0x00000080U, 0x00000000U, 0x00000000U, 0x00000080U, 0x00000080U, + 0x00008000U, 0x00008000U, 0x00008080U, 0x00008080U, 0x00008000U, 0x00008000U, 0x00008080U, 0x00008080U, + 0x00800000U, 0x00800000U, 0x00800080U, 0x00800080U, 0x00800000U, 0x00800000U, 0x00800080U, 0x00800080U, + 0x00808000U, 0x00808000U, 0x00808080U, 0x00808080U, 0x00808000U, 0x00808000U, 0x00808080U, 0x00808080U, + 0x00800000U, 0x00800000U, 0x00800080U, 0x00800080U, 0x00800000U, 0x00800000U, 0x00800080U, 0x00800080U, + 0x00808000U, 0x00808000U, 0x00808080U, 0x00808080U, 0x00808000U, 0x00808000U, 0x00808080U, 0x00808080U, + 0x00000000U, 0x00000000U, 0x00000080U, 0x00000080U, 0x00000000U, 0x00000000U, 0x00000080U, 0x00000080U, + 0x00008000U, 0x00008000U, 0x00008080U, 0x00008080U, 0x00008000U, 0x00008000U, 0x00008080U, 0x00008080U, + 0x00000000U, 0x00000000U, 0x00000080U, 0x00000080U, 0x00000000U, 0x00000000U, 0x00000080U, 0x00000080U, + 0x00008000U, 0x00008000U, 0x00008080U, 0x00008080U, 0x00008000U, 0x00008000U, 0x00008080U, 0x00008080U, + 0x00800000U, 0x00800000U, 0x00800080U, 0x00800080U, 0x00800000U, 0x00800000U, 0x00800080U, 0x00800080U, + 0x00808000U, 0x00808000U, 0x00808080U, 0x00808080U, 0x00808000U, 0x00808000U, 0x00808080U, 0x00808080U, + 0x00800000U, 0x00800000U, 0x00800080U, 0x00800080U, 0x00800000U, 0x00800000U, 0x00800080U, 0x00800080U, + 0x00808000U, 0x00808000U, 0x00808080U, 0x00808080U, 0x00808000U, 0x00808000U, 0x00808080U, 0x00808080U, + 0x80000000U, 0x80000000U, 0x80000080U, 0x80000080U, 0x80000000U, 0x80000000U, 0x80000080U, 0x80000080U, + 0x80008000U, 0x80008000U, 0x80008080U, 0x80008080U, 0x80008000U, 0x80008000U, 0x80008080U, 0x80008080U, + 0x80000000U, 0x80000000U, 0x80000080U, 0x80000080U, 0x80000000U, 0x80000000U, 0x80000080U, 0x80000080U, + 0x80008000U, 0x80008000U, 0x80008080U, 0x80008080U, 0x80008000U, 0x80008000U, 0x80008080U, 0x80008080U, + 0x80800000U, 0x80800000U, 0x80800080U, 0x80800080U, 0x80800000U, 0x80800000U, 0x80800080U, 0x80800080U, + 0x80808000U, 0x80808000U, 0x80808080U, 0x80808080U, 0x80808000U, 0x80808000U, 0x80808080U, 0x80808080U, + 0x80800000U, 0x80800000U, 0x80800080U, 0x80800080U, 0x80800000U, 0x80800000U, 0x80800080U, 0x80800080U, + 0x80808000U, 0x80808000U, 0x80808080U, 0x80808080U, 0x80808000U, 0x80808000U, 0x80808080U, 0x80808080U, + 0x80000000U, 0x80000000U, 0x80000080U, 0x80000080U, 0x80000000U, 0x80000000U, 0x80000080U, 0x80000080U, + 0x80008000U, 0x80008000U, 0x80008080U, 0x80008080U, 0x80008000U, 0x80008000U, 0x80008080U, 0x80008080U, + 0x80000000U, 0x80000000U, 0x80000080U, 0x80000080U, 0x80000000U, 0x80000000U, 0x80000080U, 0x80000080U, + 0x80008000U, 0x80008000U, 0x80008080U, 0x80008080U, 0x80008000U, 0x80008000U, 0x80008080U, 0x80008080U, + 0x80800000U, 0x80800000U, 0x80800080U, 0x80800080U, 0x80800000U, 0x80800000U, 0x80800080U, 0x80800080U, + 0x80808000U, 0x80808000U, 0x80808080U, 0x80808080U, 0x80808000U, 0x80808000U, 0x80808080U, 0x80808080U, + 0x80800000U, 0x80800000U, 0x80800080U, 0x80800080U, 0x80800000U, 0x80800000U, 0x80800080U, 0x80800080U, + 0x80808000U, 0x80808000U, 0x80808080U, 0x80808080U, 0x80808000U, 0x80808000U, 0x80808080U, 0x80808080U, +}, +}; + +static const uint32_t FPH[8][256] = { +{ + 0x00000000U, 0x40000000U, 0x00400000U, 0x40400000U, 0x00004000U, 0x40004000U, 0x00404000U, 0x40404000U, + 0x00000040U, 0x40000040U, 0x00400040U, 0x40400040U, 0x00004040U, 0x40004040U, 0x00404040U, 0x40404040U, + 0x00000000U, 0x40000000U, 0x00400000U, 0x40400000U, 0x00004000U, 0x40004000U, 0x00404000U, 0x40404000U, + 0x00000040U, 0x40000040U, 0x00400040U, 0x40400040U, 0x00004040U, 0x40004040U, 0x00404040U, 0x40404040U, + 0x00000000U, 0x40000000U, 0x00400000U, 0x40400000U, 0x00004000U, 0x40004000U, 0x00404000U, 0x40404000U, + 0x00000040U, 0x40000040U, 0x00400040U, 0x40400040U, 0x00004040U, 0x40004040U, 0x00404040U, 0x40404040U, + 0x00000000U, 0x40000000U, 0x00400000U, 0x40400000U, 0x00004000U, 0x40004000U, 0x00404000U, 0x40404000U, + 0x00000040U, 0x40000040U, 0x00400040U, 0x40400040U, 0x00004040U, 0x40004040U, 0x00404040U, 0x40404040U, + 0x00000000U, 0x40000000U, 0x00400000U, 0x40400000U, 0x00004000U, 0x40004000U, 0x00404000U, 0x40404000U, + 0x00000040U, 0x40000040U, 0x00400040U, 0x40400040U, 0x00004040U, 0x40004040U, 0x00404040U, 0x40404040U, + 0x00000000U, 0x40000000U, 0x00400000U, 0x40400000U, 0x00004000U, 0x40004000U, 0x00404000U, 0x40404000U, + 0x00000040U, 0x40000040U, 0x00400040U, 0x40400040U, 0x00004040U, 0x40004040U, 0x00404040U, 0x40404040U, + 0x00000000U, 0x40000000U, 0x00400000U, 0x40400000U, 0x00004000U, 0x40004000U, 0x00404000U, 0x40404000U, + 0x00000040U, 0x40000040U, 0x00400040U, 0x40400040U, 0x00004040U, 0x40004040U, 0x00404040U, 0x40404040U, + 0x00000000U, 0x40000000U, 0x00400000U, 0x40400000U, 0x00004000U, 0x40004000U, 0x00404000U, 0x40404000U, + 0x00000040U, 0x40000040U, 0x00400040U, 0x40400040U, 0x00004040U, 0x40004040U, 0x00404040U, 0x40404040U, + 0x00000000U, 0x40000000U, 0x00400000U, 0x40400000U, 0x00004000U, 0x40004000U, 0x00404000U, 0x40404000U, + 0x00000040U, 0x40000040U, 0x00400040U, 0x40400040U, 0x00004040U, 0x40004040U, 0x00404040U, 0x40404040U, + 0x00000000U, 0x40000000U, 0x00400000U, 0x40400000U, 0x00004000U, 0x40004000U, 0x00404000U, 0x40404000U, + 0x00000040U, 0x40000040U, 0x00400040U, 0x40400040U, 0x00004040U, 0x40004040U, 0x00404040U, 0x40404040U, + 0x00000000U, 0x40000000U, 0x00400000U, 0x40400000U, 0x00004000U, 0x40004000U, 0x00404000U, 0x40404000U, + 0x00000040U, 0x40000040U, 0x00400040U, 0x40400040U, 0x00004040U, 0x40004040U, 0x00404040U, 0x40404040U, + 0x00000000U, 0x40000000U, 0x00400000U, 0x40400000U, 0x00004000U, 0x40004000U, 0x00404000U, 0x40404000U, + 0x00000040U, 0x40000040U, 0x00400040U, 0x40400040U, 0x00004040U, 0x40004040U, 0x00404040U, 0x40404040U, + 0x00000000U, 0x40000000U, 0x00400000U, 0x40400000U, 0x00004000U, 0x40004000U, 0x00404000U, 0x40404000U, + 0x00000040U, 0x40000040U, 0x00400040U, 0x40400040U, 0x00004040U, 0x40004040U, 0x00404040U, 0x40404040U, + 0x00000000U, 0x40000000U, 0x00400000U, 0x40400000U, 0x00004000U, 0x40004000U, 0x00404000U, 0x40404000U, + 0x00000040U, 0x40000040U, 0x00400040U, 0x40400040U, 0x00004040U, 0x40004040U, 0x00404040U, 0x40404040U, + 0x00000000U, 0x40000000U, 0x00400000U, 0x40400000U, 0x00004000U, 0x40004000U, 0x00404000U, 0x40404000U, + 0x00000040U, 0x40000040U, 0x00400040U, 0x40400040U, 0x00004040U, 0x40004040U, 0x00404040U, 0x40404040U, + 0x00000000U, 0x40000000U, 0x00400000U, 0x40400000U, 0x00004000U, 0x40004000U, 0x00404000U, 0x40404000U, + 0x00000040U, 0x40000040U, 0x00400040U, 0x40400040U, 0x00004040U, 0x40004040U, 0x00404040U, 0x40404040U, +}, +{ + 0x00000000U, 0x10000000U, 0x00100000U, 0x10100000U, 0x00001000U, 0x10001000U, 0x00101000U, 0x10101000U, + 0x00000010U, 0x10000010U, 0x00100010U, 0x10100010U, 0x00001010U, 0x10001010U, 0x00101010U, 0x10101010U, + 0x00000000U, 0x10000000U, 0x00100000U, 0x10100000U, 0x00001000U, 0x10001000U, 0x00101000U, 0x10101000U, + 0x00000010U, 0x10000010U, 0x00100010U, 0x10100010U, 0x00001010U, 0x10001010U, 0x00101010U, 0x10101010U, + 0x00000000U, 0x10000000U, 0x00100000U, 0x10100000U, 0x00001000U, 0x10001000U, 0x00101000U, 0x10101000U, + 0x00000010U, 0x10000010U, 0x00100010U, 0x10100010U, 0x00001010U, 0x10001010U, 0x00101010U, 0x10101010U, + 0x00000000U, 0x10000000U, 0x00100000U, 0x10100000U, 0x00001000U, 0x10001000U, 0x00101000U, 0x10101000U, + 0x00000010U, 0x10000010U, 0x00100010U, 0x10100010U, 0x00001010U, 0x10001010U, 0x00101010U, 0x10101010U, + 0x00000000U, 0x10000000U, 0x00100000U, 0x10100000U, 0x00001000U, 0x10001000U, 0x00101000U, 0x10101000U, + 0x00000010U, 0x10000010U, 0x00100010U, 0x10100010U, 0x00001010U, 0x10001010U, 0x00101010U, 0x10101010U, + 0x00000000U, 0x10000000U, 0x00100000U, 0x10100000U, 0x00001000U, 0x10001000U, 0x00101000U, 0x10101000U, + 0x00000010U, 0x10000010U, 0x00100010U, 0x10100010U, 0x00001010U, 0x10001010U, 0x00101010U, 0x10101010U, + 0x00000000U, 0x10000000U, 0x00100000U, 0x10100000U, 0x00001000U, 0x10001000U, 0x00101000U, 0x10101000U, + 0x00000010U, 0x10000010U, 0x00100010U, 0x10100010U, 0x00001010U, 0x10001010U, 0x00101010U, 0x10101010U, + 0x00000000U, 0x10000000U, 0x00100000U, 0x10100000U, 0x00001000U, 0x10001000U, 0x00101000U, 0x10101000U, + 0x00000010U, 0x10000010U, 0x00100010U, 0x10100010U, 0x00001010U, 0x10001010U, 0x00101010U, 0x10101010U, + 0x00000000U, 0x10000000U, 0x00100000U, 0x10100000U, 0x00001000U, 0x10001000U, 0x00101000U, 0x10101000U, + 0x00000010U, 0x10000010U, 0x00100010U, 0x10100010U, 0x00001010U, 0x10001010U, 0x00101010U, 0x10101010U, + 0x00000000U, 0x10000000U, 0x00100000U, 0x10100000U, 0x00001000U, 0x10001000U, 0x00101000U, 0x10101000U, + 0x00000010U, 0x10000010U, 0x00100010U, 0x10100010U, 0x00001010U, 0x10001010U, 0x00101010U, 0x10101010U, + 0x00000000U, 0x10000000U, 0x00100000U, 0x10100000U, 0x00001000U, 0x10001000U, 0x00101000U, 0x10101000U, + 0x00000010U, 0x10000010U, 0x00100010U, 0x10100010U, 0x00001010U, 0x10001010U, 0x00101010U, 0x10101010U, + 0x00000000U, 0x10000000U, 0x00100000U, 0x10100000U, 0x00001000U, 0x10001000U, 0x00101000U, 0x10101000U, + 0x00000010U, 0x10000010U, 0x00100010U, 0x10100010U, 0x00001010U, 0x10001010U, 0x00101010U, 0x10101010U, + 0x00000000U, 0x10000000U, 0x00100000U, 0x10100000U, 0x00001000U, 0x10001000U, 0x00101000U, 0x10101000U, + 0x00000010U, 0x10000010U, 0x00100010U, 0x10100010U, 0x00001010U, 0x10001010U, 0x00101010U, 0x10101010U, + 0x00000000U, 0x10000000U, 0x00100000U, 0x10100000U, 0x00001000U, 0x10001000U, 0x00101000U, 0x10101000U, + 0x00000010U, 0x10000010U, 0x00100010U, 0x10100010U, 0x00001010U, 0x10001010U, 0x00101010U, 0x10101010U, + 0x00000000U, 0x10000000U, 0x00100000U, 0x10100000U, 0x00001000U, 0x10001000U, 0x00101000U, 0x10101000U, + 0x00000010U, 0x10000010U, 0x00100010U, 0x10100010U, 0x00001010U, 0x10001010U, 0x00101010U, 0x10101010U, + 0x00000000U, 0x10000000U, 0x00100000U, 0x10100000U, 0x00001000U, 0x10001000U, 0x00101000U, 0x10101000U, + 0x00000010U, 0x10000010U, 0x00100010U, 0x10100010U, 0x00001010U, 0x10001010U, 0x00101010U, 0x10101010U, +}, +{ + 0x00000000U, 0x04000000U, 0x00040000U, 0x04040000U, 0x00000400U, 0x04000400U, 0x00040400U, 0x04040400U, + 0x00000004U, 0x04000004U, 0x00040004U, 0x04040004U, 0x00000404U, 0x04000404U, 0x00040404U, 0x04040404U, + 0x00000000U, 0x04000000U, 0x00040000U, 0x04040000U, 0x00000400U, 0x04000400U, 0x00040400U, 0x04040400U, + 0x00000004U, 0x04000004U, 0x00040004U, 0x04040004U, 0x00000404U, 0x04000404U, 0x00040404U, 0x04040404U, + 0x00000000U, 0x04000000U, 0x00040000U, 0x04040000U, 0x00000400U, 0x04000400U, 0x00040400U, 0x04040400U, + 0x00000004U, 0x04000004U, 0x00040004U, 0x04040004U, 0x00000404U, 0x04000404U, 0x00040404U, 0x04040404U, + 0x00000000U, 0x04000000U, 0x00040000U, 0x04040000U, 0x00000400U, 0x04000400U, 0x00040400U, 0x04040400U, + 0x00000004U, 0x04000004U, 0x00040004U, 0x04040004U, 0x00000404U, 0x04000404U, 0x00040404U, 0x04040404U, + 0x00000000U, 0x04000000U, 0x00040000U, 0x04040000U, 0x00000400U, 0x04000400U, 0x00040400U, 0x04040400U, + 0x00000004U, 0x04000004U, 0x00040004U, 0x04040004U, 0x00000404U, 0x04000404U, 0x00040404U, 0x04040404U, + 0x00000000U, 0x04000000U, 0x00040000U, 0x04040000U, 0x00000400U, 0x04000400U, 0x00040400U, 0x04040400U, + 0x00000004U, 0x04000004U, 0x00040004U, 0x04040004U, 0x00000404U, 0x04000404U, 0x00040404U, 0x04040404U, + 0x00000000U, 0x04000000U, 0x00040000U, 0x04040000U, 0x00000400U, 0x04000400U, 0x00040400U, 0x04040400U, + 0x00000004U, 0x04000004U, 0x00040004U, 0x04040004U, 0x00000404U, 0x04000404U, 0x00040404U, 0x04040404U, + 0x00000000U, 0x04000000U, 0x00040000U, 0x04040000U, 0x00000400U, 0x04000400U, 0x00040400U, 0x04040400U, + 0x00000004U, 0x04000004U, 0x00040004U, 0x04040004U, 0x00000404U, 0x04000404U, 0x00040404U, 0x04040404U, + 0x00000000U, 0x04000000U, 0x00040000U, 0x04040000U, 0x00000400U, 0x04000400U, 0x00040400U, 0x04040400U, + 0x00000004U, 0x04000004U, 0x00040004U, 0x04040004U, 0x00000404U, 0x04000404U, 0x00040404U, 0x04040404U, + 0x00000000U, 0x04000000U, 0x00040000U, 0x04040000U, 0x00000400U, 0x04000400U, 0x00040400U, 0x04040400U, + 0x00000004U, 0x04000004U, 0x00040004U, 0x04040004U, 0x00000404U, 0x04000404U, 0x00040404U, 0x04040404U, + 0x00000000U, 0x04000000U, 0x00040000U, 0x04040000U, 0x00000400U, 0x04000400U, 0x00040400U, 0x04040400U, + 0x00000004U, 0x04000004U, 0x00040004U, 0x04040004U, 0x00000404U, 0x04000404U, 0x00040404U, 0x04040404U, + 0x00000000U, 0x04000000U, 0x00040000U, 0x04040000U, 0x00000400U, 0x04000400U, 0x00040400U, 0x04040400U, + 0x00000004U, 0x04000004U, 0x00040004U, 0x04040004U, 0x00000404U, 0x04000404U, 0x00040404U, 0x04040404U, + 0x00000000U, 0x04000000U, 0x00040000U, 0x04040000U, 0x00000400U, 0x04000400U, 0x00040400U, 0x04040400U, + 0x00000004U, 0x04000004U, 0x00040004U, 0x04040004U, 0x00000404U, 0x04000404U, 0x00040404U, 0x04040404U, + 0x00000000U, 0x04000000U, 0x00040000U, 0x04040000U, 0x00000400U, 0x04000400U, 0x00040400U, 0x04040400U, + 0x00000004U, 0x04000004U, 0x00040004U, 0x04040004U, 0x00000404U, 0x04000404U, 0x00040404U, 0x04040404U, + 0x00000000U, 0x04000000U, 0x00040000U, 0x04040000U, 0x00000400U, 0x04000400U, 0x00040400U, 0x04040400U, + 0x00000004U, 0x04000004U, 0x00040004U, 0x04040004U, 0x00000404U, 0x04000404U, 0x00040404U, 0x04040404U, + 0x00000000U, 0x04000000U, 0x00040000U, 0x04040000U, 0x00000400U, 0x04000400U, 0x00040400U, 0x04040400U, + 0x00000004U, 0x04000004U, 0x00040004U, 0x04040004U, 0x00000404U, 0x04000404U, 0x00040404U, 0x04040404U, +}, +{ + 0x00000000U, 0x01000000U, 0x00010000U, 0x01010000U, 0x00000100U, 0x01000100U, 0x00010100U, 0x01010100U, + 0x00000001U, 0x01000001U, 0x00010001U, 0x01010001U, 0x00000101U, 0x01000101U, 0x00010101U, 0x01010101U, + 0x00000000U, 0x01000000U, 0x00010000U, 0x01010000U, 0x00000100U, 0x01000100U, 0x00010100U, 0x01010100U, + 0x00000001U, 0x01000001U, 0x00010001U, 0x01010001U, 0x00000101U, 0x01000101U, 0x00010101U, 0x01010101U, + 0x00000000U, 0x01000000U, 0x00010000U, 0x01010000U, 0x00000100U, 0x01000100U, 0x00010100U, 0x01010100U, + 0x00000001U, 0x01000001U, 0x00010001U, 0x01010001U, 0x00000101U, 0x01000101U, 0x00010101U, 0x01010101U, + 0x00000000U, 0x01000000U, 0x00010000U, 0x01010000U, 0x00000100U, 0x01000100U, 0x00010100U, 0x01010100U, + 0x00000001U, 0x01000001U, 0x00010001U, 0x01010001U, 0x00000101U, 0x01000101U, 0x00010101U, 0x01010101U, + 0x00000000U, 0x01000000U, 0x00010000U, 0x01010000U, 0x00000100U, 0x01000100U, 0x00010100U, 0x01010100U, + 0x00000001U, 0x01000001U, 0x00010001U, 0x01010001U, 0x00000101U, 0x01000101U, 0x00010101U, 0x01010101U, + 0x00000000U, 0x01000000U, 0x00010000U, 0x01010000U, 0x00000100U, 0x01000100U, 0x00010100U, 0x01010100U, + 0x00000001U, 0x01000001U, 0x00010001U, 0x01010001U, 0x00000101U, 0x01000101U, 0x00010101U, 0x01010101U, + 0x00000000U, 0x01000000U, 0x00010000U, 0x01010000U, 0x00000100U, 0x01000100U, 0x00010100U, 0x01010100U, + 0x00000001U, 0x01000001U, 0x00010001U, 0x01010001U, 0x00000101U, 0x01000101U, 0x00010101U, 0x01010101U, + 0x00000000U, 0x01000000U, 0x00010000U, 0x01010000U, 0x00000100U, 0x01000100U, 0x00010100U, 0x01010100U, + 0x00000001U, 0x01000001U, 0x00010001U, 0x01010001U, 0x00000101U, 0x01000101U, 0x00010101U, 0x01010101U, + 0x00000000U, 0x01000000U, 0x00010000U, 0x01010000U, 0x00000100U, 0x01000100U, 0x00010100U, 0x01010100U, + 0x00000001U, 0x01000001U, 0x00010001U, 0x01010001U, 0x00000101U, 0x01000101U, 0x00010101U, 0x01010101U, + 0x00000000U, 0x01000000U, 0x00010000U, 0x01010000U, 0x00000100U, 0x01000100U, 0x00010100U, 0x01010100U, + 0x00000001U, 0x01000001U, 0x00010001U, 0x01010001U, 0x00000101U, 0x01000101U, 0x00010101U, 0x01010101U, + 0x00000000U, 0x01000000U, 0x00010000U, 0x01010000U, 0x00000100U, 0x01000100U, 0x00010100U, 0x01010100U, + 0x00000001U, 0x01000001U, 0x00010001U, 0x01010001U, 0x00000101U, 0x01000101U, 0x00010101U, 0x01010101U, + 0x00000000U, 0x01000000U, 0x00010000U, 0x01010000U, 0x00000100U, 0x01000100U, 0x00010100U, 0x01010100U, + 0x00000001U, 0x01000001U, 0x00010001U, 0x01010001U, 0x00000101U, 0x01000101U, 0x00010101U, 0x01010101U, + 0x00000000U, 0x01000000U, 0x00010000U, 0x01010000U, 0x00000100U, 0x01000100U, 0x00010100U, 0x01010100U, + 0x00000001U, 0x01000001U, 0x00010001U, 0x01010001U, 0x00000101U, 0x01000101U, 0x00010101U, 0x01010101U, + 0x00000000U, 0x01000000U, 0x00010000U, 0x01010000U, 0x00000100U, 0x01000100U, 0x00010100U, 0x01010100U, + 0x00000001U, 0x01000001U, 0x00010001U, 0x01010001U, 0x00000101U, 0x01000101U, 0x00010101U, 0x01010101U, + 0x00000000U, 0x01000000U, 0x00010000U, 0x01010000U, 0x00000100U, 0x01000100U, 0x00010100U, 0x01010100U, + 0x00000001U, 0x01000001U, 0x00010001U, 0x01010001U, 0x00000101U, 0x01000101U, 0x00010101U, 0x01010101U, + 0x00000000U, 0x01000000U, 0x00010000U, 0x01010000U, 0x00000100U, 0x01000100U, 0x00010100U, 0x01010100U, + 0x00000001U, 0x01000001U, 0x00010001U, 0x01010001U, 0x00000101U, 0x01000101U, 0x00010101U, 0x01010101U, +}, +{ + 0x00000000U, 0x80000000U, 0x00800000U, 0x80800000U, 0x00008000U, 0x80008000U, 0x00808000U, 0x80808000U, + 0x00000080U, 0x80000080U, 0x00800080U, 0x80800080U, 0x00008080U, 0x80008080U, 0x00808080U, 0x80808080U, + 0x00000000U, 0x80000000U, 0x00800000U, 0x80800000U, 0x00008000U, 0x80008000U, 0x00808000U, 0x80808000U, + 0x00000080U, 0x80000080U, 0x00800080U, 0x80800080U, 0x00008080U, 0x80008080U, 0x00808080U, 0x80808080U, + 0x00000000U, 0x80000000U, 0x00800000U, 0x80800000U, 0x00008000U, 0x80008000U, 0x00808000U, 0x80808000U, + 0x00000080U, 0x80000080U, 0x00800080U, 0x80800080U, 0x00008080U, 0x80008080U, 0x00808080U, 0x80808080U, + 0x00000000U, 0x80000000U, 0x00800000U, 0x80800000U, 0x00008000U, 0x80008000U, 0x00808000U, 0x80808000U, + 0x00000080U, 0x80000080U, 0x00800080U, 0x80800080U, 0x00008080U, 0x80008080U, 0x00808080U, 0x80808080U, + 0x00000000U, 0x80000000U, 0x00800000U, 0x80800000U, 0x00008000U, 0x80008000U, 0x00808000U, 0x80808000U, + 0x00000080U, 0x80000080U, 0x00800080U, 0x80800080U, 0x00008080U, 0x80008080U, 0x00808080U, 0x80808080U, + 0x00000000U, 0x80000000U, 0x00800000U, 0x80800000U, 0x00008000U, 0x80008000U, 0x00808000U, 0x80808000U, + 0x00000080U, 0x80000080U, 0x00800080U, 0x80800080U, 0x00008080U, 0x80008080U, 0x00808080U, 0x80808080U, + 0x00000000U, 0x80000000U, 0x00800000U, 0x80800000U, 0x00008000U, 0x80008000U, 0x00808000U, 0x80808000U, + 0x00000080U, 0x80000080U, 0x00800080U, 0x80800080U, 0x00008080U, 0x80008080U, 0x00808080U, 0x80808080U, + 0x00000000U, 0x80000000U, 0x00800000U, 0x80800000U, 0x00008000U, 0x80008000U, 0x00808000U, 0x80808000U, + 0x00000080U, 0x80000080U, 0x00800080U, 0x80800080U, 0x00008080U, 0x80008080U, 0x00808080U, 0x80808080U, + 0x00000000U, 0x80000000U, 0x00800000U, 0x80800000U, 0x00008000U, 0x80008000U, 0x00808000U, 0x80808000U, + 0x00000080U, 0x80000080U, 0x00800080U, 0x80800080U, 0x00008080U, 0x80008080U, 0x00808080U, 0x80808080U, + 0x00000000U, 0x80000000U, 0x00800000U, 0x80800000U, 0x00008000U, 0x80008000U, 0x00808000U, 0x80808000U, + 0x00000080U, 0x80000080U, 0x00800080U, 0x80800080U, 0x00008080U, 0x80008080U, 0x00808080U, 0x80808080U, + 0x00000000U, 0x80000000U, 0x00800000U, 0x80800000U, 0x00008000U, 0x80008000U, 0x00808000U, 0x80808000U, + 0x00000080U, 0x80000080U, 0x00800080U, 0x80800080U, 0x00008080U, 0x80008080U, 0x00808080U, 0x80808080U, + 0x00000000U, 0x80000000U, 0x00800000U, 0x80800000U, 0x00008000U, 0x80008000U, 0x00808000U, 0x80808000U, + 0x00000080U, 0x80000080U, 0x00800080U, 0x80800080U, 0x00008080U, 0x80008080U, 0x00808080U, 0x80808080U, + 0x00000000U, 0x80000000U, 0x00800000U, 0x80800000U, 0x00008000U, 0x80008000U, 0x00808000U, 0x80808000U, + 0x00000080U, 0x80000080U, 0x00800080U, 0x80800080U, 0x00008080U, 0x80008080U, 0x00808080U, 0x80808080U, + 0x00000000U, 0x80000000U, 0x00800000U, 0x80800000U, 0x00008000U, 0x80008000U, 0x00808000U, 0x80808000U, + 0x00000080U, 0x80000080U, 0x00800080U, 0x80800080U, 0x00008080U, 0x80008080U, 0x00808080U, 0x80808080U, + 0x00000000U, 0x80000000U, 0x00800000U, 0x80800000U, 0x00008000U, 0x80008000U, 0x00808000U, 0x80808000U, + 0x00000080U, 0x80000080U, 0x00800080U, 0x80800080U, 0x00008080U, 0x80008080U, 0x00808080U, 0x80808080U, + 0x00000000U, 0x80000000U, 0x00800000U, 0x80800000U, 0x00008000U, 0x80008000U, 0x00808000U, 0x80808000U, + 0x00000080U, 0x80000080U, 0x00800080U, 0x80800080U, 0x00008080U, 0x80008080U, 0x00808080U, 0x80808080U, +}, +{ + 0x00000000U, 0x20000000U, 0x00200000U, 0x20200000U, 0x00002000U, 0x20002000U, 0x00202000U, 0x20202000U, + 0x00000020U, 0x20000020U, 0x00200020U, 0x20200020U, 0x00002020U, 0x20002020U, 0x00202020U, 0x20202020U, + 0x00000000U, 0x20000000U, 0x00200000U, 0x20200000U, 0x00002000U, 0x20002000U, 0x00202000U, 0x20202000U, + 0x00000020U, 0x20000020U, 0x00200020U, 0x20200020U, 0x00002020U, 0x20002020U, 0x00202020U, 0x20202020U, + 0x00000000U, 0x20000000U, 0x00200000U, 0x20200000U, 0x00002000U, 0x20002000U, 0x00202000U, 0x20202000U, + 0x00000020U, 0x20000020U, 0x00200020U, 0x20200020U, 0x00002020U, 0x20002020U, 0x00202020U, 0x20202020U, + 0x00000000U, 0x20000000U, 0x00200000U, 0x20200000U, 0x00002000U, 0x20002000U, 0x00202000U, 0x20202000U, + 0x00000020U, 0x20000020U, 0x00200020U, 0x20200020U, 0x00002020U, 0x20002020U, 0x00202020U, 0x20202020U, + 0x00000000U, 0x20000000U, 0x00200000U, 0x20200000U, 0x00002000U, 0x20002000U, 0x00202000U, 0x20202000U, + 0x00000020U, 0x20000020U, 0x00200020U, 0x20200020U, 0x00002020U, 0x20002020U, 0x00202020U, 0x20202020U, + 0x00000000U, 0x20000000U, 0x00200000U, 0x20200000U, 0x00002000U, 0x20002000U, 0x00202000U, 0x20202000U, + 0x00000020U, 0x20000020U, 0x00200020U, 0x20200020U, 0x00002020U, 0x20002020U, 0x00202020U, 0x20202020U, + 0x00000000U, 0x20000000U, 0x00200000U, 0x20200000U, 0x00002000U, 0x20002000U, 0x00202000U, 0x20202000U, + 0x00000020U, 0x20000020U, 0x00200020U, 0x20200020U, 0x00002020U, 0x20002020U, 0x00202020U, 0x20202020U, + 0x00000000U, 0x20000000U, 0x00200000U, 0x20200000U, 0x00002000U, 0x20002000U, 0x00202000U, 0x20202000U, + 0x00000020U, 0x20000020U, 0x00200020U, 0x20200020U, 0x00002020U, 0x20002020U, 0x00202020U, 0x20202020U, + 0x00000000U, 0x20000000U, 0x00200000U, 0x20200000U, 0x00002000U, 0x20002000U, 0x00202000U, 0x20202000U, + 0x00000020U, 0x20000020U, 0x00200020U, 0x20200020U, 0x00002020U, 0x20002020U, 0x00202020U, 0x20202020U, + 0x00000000U, 0x20000000U, 0x00200000U, 0x20200000U, 0x00002000U, 0x20002000U, 0x00202000U, 0x20202000U, + 0x00000020U, 0x20000020U, 0x00200020U, 0x20200020U, 0x00002020U, 0x20002020U, 0x00202020U, 0x20202020U, + 0x00000000U, 0x20000000U, 0x00200000U, 0x20200000U, 0x00002000U, 0x20002000U, 0x00202000U, 0x20202000U, + 0x00000020U, 0x20000020U, 0x00200020U, 0x20200020U, 0x00002020U, 0x20002020U, 0x00202020U, 0x20202020U, + 0x00000000U, 0x20000000U, 0x00200000U, 0x20200000U, 0x00002000U, 0x20002000U, 0x00202000U, 0x20202000U, + 0x00000020U, 0x20000020U, 0x00200020U, 0x20200020U, 0x00002020U, 0x20002020U, 0x00202020U, 0x20202020U, + 0x00000000U, 0x20000000U, 0x00200000U, 0x20200000U, 0x00002000U, 0x20002000U, 0x00202000U, 0x20202000U, + 0x00000020U, 0x20000020U, 0x00200020U, 0x20200020U, 0x00002020U, 0x20002020U, 0x00202020U, 0x20202020U, + 0x00000000U, 0x20000000U, 0x00200000U, 0x20200000U, 0x00002000U, 0x20002000U, 0x00202000U, 0x20202000U, + 0x00000020U, 0x20000020U, 0x00200020U, 0x20200020U, 0x00002020U, 0x20002020U, 0x00202020U, 0x20202020U, + 0x00000000U, 0x20000000U, 0x00200000U, 0x20200000U, 0x00002000U, 0x20002000U, 0x00202000U, 0x20202000U, + 0x00000020U, 0x20000020U, 0x00200020U, 0x20200020U, 0x00002020U, 0x20002020U, 0x00202020U, 0x20202020U, + 0x00000000U, 0x20000000U, 0x00200000U, 0x20200000U, 0x00002000U, 0x20002000U, 0x00202000U, 0x20202000U, + 0x00000020U, 0x20000020U, 0x00200020U, 0x20200020U, 0x00002020U, 0x20002020U, 0x00202020U, 0x20202020U, +}, +{ + 0x00000000U, 0x08000000U, 0x00080000U, 0x08080000U, 0x00000800U, 0x08000800U, 0x00080800U, 0x08080800U, + 0x00000008U, 0x08000008U, 0x00080008U, 0x08080008U, 0x00000808U, 0x08000808U, 0x00080808U, 0x08080808U, + 0x00000000U, 0x08000000U, 0x00080000U, 0x08080000U, 0x00000800U, 0x08000800U, 0x00080800U, 0x08080800U, + 0x00000008U, 0x08000008U, 0x00080008U, 0x08080008U, 0x00000808U, 0x08000808U, 0x00080808U, 0x08080808U, + 0x00000000U, 0x08000000U, 0x00080000U, 0x08080000U, 0x00000800U, 0x08000800U, 0x00080800U, 0x08080800U, + 0x00000008U, 0x08000008U, 0x00080008U, 0x08080008U, 0x00000808U, 0x08000808U, 0x00080808U, 0x08080808U, + 0x00000000U, 0x08000000U, 0x00080000U, 0x08080000U, 0x00000800U, 0x08000800U, 0x00080800U, 0x08080800U, + 0x00000008U, 0x08000008U, 0x00080008U, 0x08080008U, 0x00000808U, 0x08000808U, 0x00080808U, 0x08080808U, + 0x00000000U, 0x08000000U, 0x00080000U, 0x08080000U, 0x00000800U, 0x08000800U, 0x00080800U, 0x08080800U, + 0x00000008U, 0x08000008U, 0x00080008U, 0x08080008U, 0x00000808U, 0x08000808U, 0x00080808U, 0x08080808U, + 0x00000000U, 0x08000000U, 0x00080000U, 0x08080000U, 0x00000800U, 0x08000800U, 0x00080800U, 0x08080800U, + 0x00000008U, 0x08000008U, 0x00080008U, 0x08080008U, 0x00000808U, 0x08000808U, 0x00080808U, 0x08080808U, + 0x00000000U, 0x08000000U, 0x00080000U, 0x08080000U, 0x00000800U, 0x08000800U, 0x00080800U, 0x08080800U, + 0x00000008U, 0x08000008U, 0x00080008U, 0x08080008U, 0x00000808U, 0x08000808U, 0x00080808U, 0x08080808U, + 0x00000000U, 0x08000000U, 0x00080000U, 0x08080000U, 0x00000800U, 0x08000800U, 0x00080800U, 0x08080800U, + 0x00000008U, 0x08000008U, 0x00080008U, 0x08080008U, 0x00000808U, 0x08000808U, 0x00080808U, 0x08080808U, + 0x00000000U, 0x08000000U, 0x00080000U, 0x08080000U, 0x00000800U, 0x08000800U, 0x00080800U, 0x08080800U, + 0x00000008U, 0x08000008U, 0x00080008U, 0x08080008U, 0x00000808U, 0x08000808U, 0x00080808U, 0x08080808U, + 0x00000000U, 0x08000000U, 0x00080000U, 0x08080000U, 0x00000800U, 0x08000800U, 0x00080800U, 0x08080800U, + 0x00000008U, 0x08000008U, 0x00080008U, 0x08080008U, 0x00000808U, 0x08000808U, 0x00080808U, 0x08080808U, + 0x00000000U, 0x08000000U, 0x00080000U, 0x08080000U, 0x00000800U, 0x08000800U, 0x00080800U, 0x08080800U, + 0x00000008U, 0x08000008U, 0x00080008U, 0x08080008U, 0x00000808U, 0x08000808U, 0x00080808U, 0x08080808U, + 0x00000000U, 0x08000000U, 0x00080000U, 0x08080000U, 0x00000800U, 0x08000800U, 0x00080800U, 0x08080800U, + 0x00000008U, 0x08000008U, 0x00080008U, 0x08080008U, 0x00000808U, 0x08000808U, 0x00080808U, 0x08080808U, + 0x00000000U, 0x08000000U, 0x00080000U, 0x08080000U, 0x00000800U, 0x08000800U, 0x00080800U, 0x08080800U, + 0x00000008U, 0x08000008U, 0x00080008U, 0x08080008U, 0x00000808U, 0x08000808U, 0x00080808U, 0x08080808U, + 0x00000000U, 0x08000000U, 0x00080000U, 0x08080000U, 0x00000800U, 0x08000800U, 0x00080800U, 0x08080800U, + 0x00000008U, 0x08000008U, 0x00080008U, 0x08080008U, 0x00000808U, 0x08000808U, 0x00080808U, 0x08080808U, + 0x00000000U, 0x08000000U, 0x00080000U, 0x08080000U, 0x00000800U, 0x08000800U, 0x00080800U, 0x08080800U, + 0x00000008U, 0x08000008U, 0x00080008U, 0x08080008U, 0x00000808U, 0x08000808U, 0x00080808U, 0x08080808U, + 0x00000000U, 0x08000000U, 0x00080000U, 0x08080000U, 0x00000800U, 0x08000800U, 0x00080800U, 0x08080800U, + 0x00000008U, 0x08000008U, 0x00080008U, 0x08080008U, 0x00000808U, 0x08000808U, 0x00080808U, 0x08080808U, +}, +{ + 0x00000000U, 0x02000000U, 0x00020000U, 0x02020000U, 0x00000200U, 0x02000200U, 0x00020200U, 0x02020200U, + 0x00000002U, 0x02000002U, 0x00020002U, 0x02020002U, 0x00000202U, 0x02000202U, 0x00020202U, 0x02020202U, + 0x00000000U, 0x02000000U, 0x00020000U, 0x02020000U, 0x00000200U, 0x02000200U, 0x00020200U, 0x02020200U, + 0x00000002U, 0x02000002U, 0x00020002U, 0x02020002U, 0x00000202U, 0x02000202U, 0x00020202U, 0x02020202U, + 0x00000000U, 0x02000000U, 0x00020000U, 0x02020000U, 0x00000200U, 0x02000200U, 0x00020200U, 0x02020200U, + 0x00000002U, 0x02000002U, 0x00020002U, 0x02020002U, 0x00000202U, 0x02000202U, 0x00020202U, 0x02020202U, + 0x00000000U, 0x02000000U, 0x00020000U, 0x02020000U, 0x00000200U, 0x02000200U, 0x00020200U, 0x02020200U, + 0x00000002U, 0x02000002U, 0x00020002U, 0x02020002U, 0x00000202U, 0x02000202U, 0x00020202U, 0x02020202U, + 0x00000000U, 0x02000000U, 0x00020000U, 0x02020000U, 0x00000200U, 0x02000200U, 0x00020200U, 0x02020200U, + 0x00000002U, 0x02000002U, 0x00020002U, 0x02020002U, 0x00000202U, 0x02000202U, 0x00020202U, 0x02020202U, + 0x00000000U, 0x02000000U, 0x00020000U, 0x02020000U, 0x00000200U, 0x02000200U, 0x00020200U, 0x02020200U, + 0x00000002U, 0x02000002U, 0x00020002U, 0x02020002U, 0x00000202U, 0x02000202U, 0x00020202U, 0x02020202U, + 0x00000000U, 0x02000000U, 0x00020000U, 0x02020000U, 0x00000200U, 0x02000200U, 0x00020200U, 0x02020200U, + 0x00000002U, 0x02000002U, 0x00020002U, 0x02020002U, 0x00000202U, 0x02000202U, 0x00020202U, 0x02020202U, + 0x00000000U, 0x02000000U, 0x00020000U, 0x02020000U, 0x00000200U, 0x02000200U, 0x00020200U, 0x02020200U, + 0x00000002U, 0x02000002U, 0x00020002U, 0x02020002U, 0x00000202U, 0x02000202U, 0x00020202U, 0x02020202U, + 0x00000000U, 0x02000000U, 0x00020000U, 0x02020000U, 0x00000200U, 0x02000200U, 0x00020200U, 0x02020200U, + 0x00000002U, 0x02000002U, 0x00020002U, 0x02020002U, 0x00000202U, 0x02000202U, 0x00020202U, 0x02020202U, + 0x00000000U, 0x02000000U, 0x00020000U, 0x02020000U, 0x00000200U, 0x02000200U, 0x00020200U, 0x02020200U, + 0x00000002U, 0x02000002U, 0x00020002U, 0x02020002U, 0x00000202U, 0x02000202U, 0x00020202U, 0x02020202U, + 0x00000000U, 0x02000000U, 0x00020000U, 0x02020000U, 0x00000200U, 0x02000200U, 0x00020200U, 0x02020200U, + 0x00000002U, 0x02000002U, 0x00020002U, 0x02020002U, 0x00000202U, 0x02000202U, 0x00020202U, 0x02020202U, + 0x00000000U, 0x02000000U, 0x00020000U, 0x02020000U, 0x00000200U, 0x02000200U, 0x00020200U, 0x02020200U, + 0x00000002U, 0x02000002U, 0x00020002U, 0x02020002U, 0x00000202U, 0x02000202U, 0x00020202U, 0x02020202U, + 0x00000000U, 0x02000000U, 0x00020000U, 0x02020000U, 0x00000200U, 0x02000200U, 0x00020200U, 0x02020200U, + 0x00000002U, 0x02000002U, 0x00020002U, 0x02020002U, 0x00000202U, 0x02000202U, 0x00020202U, 0x02020202U, + 0x00000000U, 0x02000000U, 0x00020000U, 0x02020000U, 0x00000200U, 0x02000200U, 0x00020200U, 0x02020200U, + 0x00000002U, 0x02000002U, 0x00020002U, 0x02020002U, 0x00000202U, 0x02000202U, 0x00020202U, 0x02020202U, + 0x00000000U, 0x02000000U, 0x00020000U, 0x02020000U, 0x00000200U, 0x02000200U, 0x00020200U, 0x02020200U, + 0x00000002U, 0x02000002U, 0x00020002U, 0x02020002U, 0x00000202U, 0x02000202U, 0x00020202U, 0x02020202U, + 0x00000000U, 0x02000000U, 0x00020000U, 0x02020000U, 0x00000200U, 0x02000200U, 0x00020200U, 0x02020200U, + 0x00000002U, 0x02000002U, 0x00020002U, 0x02020002U, 0x00000202U, 0x02000202U, 0x00020202U, 0x02020202U, +}, +}; + +static const uint32_t FPL[8][256] = { +{ + 0x00000000U, 0x00000000U, 0x00000000U, 0x00000000U, 0x00000000U, 0x00000000U, 0x00000000U, 0x00000000U, + 0x00000000U, 0x00000000U, 0x00000000U, 0x00000000U, 0x00000000U, 0x00000000U, 0x00000000U, 0x00000000U, + 0x40000000U, 0x40000000U, 0x40000000U, 0x40000000U, 0x40000000U, 0x40000000U, 0x40000000U, 0x40000000U, + 0x40000000U, 0x40000000U, 0x40000000U, 0x40000000U, 0x40000000U, 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0x02020002U, 0x02020002U, + 0x02020002U, 0x02020002U, 0x02020002U, 0x02020002U, 0x02020002U, 0x02020002U, 0x02020002U, 0x02020002U, + 0x00000202U, 0x00000202U, 0x00000202U, 0x00000202U, 0x00000202U, 0x00000202U, 0x00000202U, 0x00000202U, + 0x00000202U, 0x00000202U, 0x00000202U, 0x00000202U, 0x00000202U, 0x00000202U, 0x00000202U, 0x00000202U, + 0x02000202U, 0x02000202U, 0x02000202U, 0x02000202U, 0x02000202U, 0x02000202U, 0x02000202U, 0x02000202U, + 0x02000202U, 0x02000202U, 0x02000202U, 0x02000202U, 0x02000202U, 0x02000202U, 0x02000202U, 0x02000202U, + 0x00020202U, 0x00020202U, 0x00020202U, 0x00020202U, 0x00020202U, 0x00020202U, 0x00020202U, 0x00020202U, + 0x00020202U, 0x00020202U, 0x00020202U, 0x00020202U, 0x00020202U, 0x00020202U, 0x00020202U, 0x00020202U, + 0x02020202U, 0x02020202U, 0x02020202U, 0x02020202U, 0x02020202U, 0x02020202U, 0x02020202U, 0x02020202U, + 0x02020202U, 0x02020202U, 0x02020202U, 0x02020202U, 0x02020202U, 0x02020202U, 0x02020202U, 0x02020202U, +}, +}; + +#define ROTL32(v, k) (((v) << (k)) | ((v) >> (32 - (k)))) + +static inline uint64_t load_be64(const uint8_t *p) +{ + return ((uint64_t) p[0] << 56) | ((uint64_t) p[1] << 48) + | ((uint64_t) p[2] << 40) | ((uint64_t) p[3] << 32) + | ((uint64_t) p[4] << 24) | ((uint64_t) p[5] << 16) + | ((uint64_t) p[6] << 8) | ((uint64_t) p[7]); +} + +static inline void store_be64(uint8_t *p, uint64_t v) +{ + p[0] = (uint8_t) (v >> 56); p[1] = (uint8_t) (v >> 48); + p[2] = (uint8_t) (v >> 40); p[3] = (uint8_t) (v >> 32); + p[4] = (uint8_t) (v >> 24); p[5] = (uint8_t) (v >> 16); + p[6] = (uint8_t) (v >> 8); p[7] = (uint8_t) v; +} + +/* bit i of v, numbered from 1 at the most significant end, as FIPS 46-3 does */ +static inline uint32_t bit_of(uint64_t v, int i, int width) +{ + return (uint32_t) ((v >> (width - i)) & 1); +} + +static const uint8_t PC1[56] = { + 57,49,41,33,25,17,9,1,58,50,42,34,26,18,10,2,59,51,43,35,27, + 19,11,3,60,52,44,36,63,55,47,39,31,23,15,7,62,54,46,38,30,22, + 14,6,61,53,45,37,29,21,13,5,28,20,12,4 +}; + +static const uint8_t PC2[48] = { + 14,17,11,24,1,5,3,28,15,6,21,10,23,19,12,4,26,8,16,7,27,20,13,2, + 41,52,31,37,47,55,30,40,51,45,33,48,44,49,39,56,34,53,46,42,50,36,29,32 +}; + +static const uint8_t SHIFTS[16] = { 1,1,2,2,2,2,2,2,1,2,2,2,2,2,2,1 }; + +void crypton_des_init(crypton_des_key *ks, const uint8_t *key, int reverse) +{ + uint64_t k = load_be64(key); + uint64_t cd = 0; + uint32_t c, d; + int round, i; + + for (i = 0; i < 56; i++) + cd = (cd << 1) | bit_of(k, PC1[i], 64); + c = (uint32_t) (cd >> 28); + d = (uint32_t) (cd & 0x0fffffffU); + + for (round = 0; round < 16; round++) { + uint64_t merged; + uint8_t *sk; + int s = SHIFTS[round]; + + c = ((c << s) | (c >> (28 - s))) & 0x0fffffffU; + d = ((d << s) | (d >> (28 - s))) & 0x0fffffffU; + merged = ((uint64_t) c << 28) | d; + + sk = ks->sk + (reverse ? (15 - round) : round) * 8; + memset(sk, 0, 8); + for (i = 0; i < 48; i++) + sk[i / 6] = (uint8_t) ((sk[i / 6] << 1) | bit_of(merged, PC2[i], 56)); + } +} + +static inline uint32_t des_f(uint32_t r, const uint8_t *sk) +{ + return SP[0][((ROTL32(r, 31) >> 26) & 0x3f) ^ sk[0]] + | SP[1][((ROTL32(r, 3) >> 26) & 0x3f) ^ sk[1]] + | SP[2][((ROTL32(r, 7) >> 26) & 0x3f) ^ sk[2]] + | SP[3][((ROTL32(r, 11) >> 26) & 0x3f) ^ sk[3]] + | SP[4][((ROTL32(r, 15) >> 26) & 0x3f) ^ sk[4]] + | SP[5][((ROTL32(r, 19) >> 26) & 0x3f) ^ sk[5]] + | SP[6][((ROTL32(r, 23) >> 26) & 0x3f) ^ sk[6]] + | SP[7][((ROTL32(r, 27) >> 26) & 0x3f) ^ sk[7]]; +} + +static inline uint64_t des_block(uint64_t b, const uint8_t *sk) +{ + uint32_t l, r; + int round; + + l = IPL[0][(b >> 56) & 0xff] | IPL[1][(b >> 48) & 0xff] + | IPL[2][(b >> 40) & 0xff] | IPL[3][(b >> 32) & 0xff] + | IPL[4][(b >> 24) & 0xff] | IPL[5][(b >> 16) & 0xff] + | IPL[6][(b >> 8) & 0xff] | IPL[7][ b & 0xff]; + r = IPR[0][(b >> 56) & 0xff] | IPR[1][(b >> 48) & 0xff] + | IPR[2][(b >> 40) & 0xff] | IPR[3][(b >> 32) & 0xff] + | IPR[4][(b >> 24) & 0xff] | IPR[5][(b >> 16) & 0xff] + | IPR[6][(b >> 8) & 0xff] | IPR[7][ b & 0xff]; + + for (round = 0; round < 16; round++) { + uint32_t t = r; + r = l ^ des_f(r, sk + round * 8); + l = t; + } + + { + /* the preoutput is the halves the other way round */ + uint64_t p = ((uint64_t) r << 32) | l; + return ((uint64_t) (FPH[0][(p >> 56) & 0xff] | FPH[1][(p >> 48) & 0xff] + | FPH[2][(p >> 40) & 0xff] | FPH[3][(p >> 32) & 0xff] + | FPH[4][(p >> 24) & 0xff] | FPH[5][(p >> 16) & 0xff] + | FPH[6][(p >> 8) & 0xff] | FPH[7][ p & 0xff]) << 32) + | (FPL[0][(p >> 56) & 0xff] | FPL[1][(p >> 48) & 0xff] + | FPL[2][(p >> 40) & 0xff] | FPL[3][(p >> 32) & 0xff] + | FPL[4][(p >> 24) & 0xff] | FPL[5][(p >> 16) & 0xff] + | FPL[6][(p >> 8) & 0xff] | FPL[7][ p & 0xff]); + } +} + +/* Run every stage of the schedule over each block: one stage is DES, three are + * EDE or EEE depending on the directions the schedules were built for. */ +void crypton_des_ecb(uint8_t *out, const crypton_des_key *ks, uint32_t nkeys, + const uint8_t *in, uint32_t nblocks) +{ + uint32_t i, s; + + for (i = 0; i < nblocks; i++) { + uint64_t b = load_be64(in + 8 * i); + for (s = 0; s < nkeys; s++) + b = des_block(b, ks[s].sk); + store_be64(out + 8 * i, b); + } +} diff --git a/cbits/crypton_des.h b/cbits/crypton_des.h new file mode 100644 --- /dev/null +++ b/cbits/crypton_des.h @@ -0,0 +1,20 @@ +#ifndef CRYPTON_DES_H +#define CRYPTON_DES_H + +#include + +/* the sixteen round keys, as eight six-bit values each */ +typedef struct { + uint8_t sk[16 * 8]; +} crypton_des_key; + +/* Build a schedule from an eight byte key. The parity bits are ignored, as + * FIPS 46-3 says. With reverse set, the rounds come out in the order that + * decrypts. */ +void crypton_des_init(crypton_des_key *ks, const uint8_t *key, int reverse); + +/* Apply nkeys schedules in order to each of nblocks eight byte blocks. */ +void crypton_des_ecb(uint8_t *out, const crypton_des_key *ks, uint32_t nkeys, + const uint8_t *in, uint32_t nblocks); + +#endif diff --git a/cbits/crypton_ecc.c b/cbits/crypton_ecc.c new file mode 100644 --- /dev/null +++ b/cbits/crypton_ecc.c @@ -0,0 +1,542 @@ +/* + * Scalar multiplication on a curve over a prime field, doing the same work + * whatever the scalar is. + * + * The scalar is walked four bits at a time: four doublings and one addition + * of a small multiple of the point, taken from a table of sixteen that is + * read by touching every entry and keeping one of them with a mask. So a + * window costs the same five operations and the same sixteen reads whatever + * its bits are, and nothing branches on, or indexes memory with, the scalar. + * + * The addition and the doubling are the complete formulas of Renes, Costello + * and Batina (eprint 2015/1060, algorithms 1 and 3), which answer for every + * pair of points there is -- the same point twice, a point and its negation, + * the point at infinity -- without a case to choose between. A formula with + * cases would need the choice to be made with a mask like everything else + * here, and would still have to be right about which cases there are; these + * have none. They cost about half again what the usual Jacobian formulas do, + * which is the price of that. + * + * Points are kept in homogeneous projective coordinates, where the point at + * infinity is (0 : 1 : 0), and in Montgomery form, so that the only reduction + * is the one the multiplication does anyway. + */ +#include +#include +#include +#include +#include +#ifdef CRYPTON_S2N_BIGNUM +#include +#endif + +/* four bits of scalar per window, so a table of sixteen and no leftover + * bits: a byte holds exactly two windows */ +#define WINDOW_BITS 4 +#define TABLE_SIZE (1 << WINDOW_BITS) + +/* the field the curve is over, and what it takes to work in it */ +typedef struct { + uint32_t n; /* limbs in a field element */ + limb_t n0; /* -p^-1 mod 2^LIMB_BITS */ + const limb_t *p; + const limb_t *a; /* the curve's a, in Montgomery form */ + const limb_t *b3; /* three times the curve's b, in Montgomery form */ + const limb_t *zero; /* n limbs of nothing, to subtract from */ + int a_is_zero; /* a is 0 or p-3 for every curve in use, and then */ + int a_is_minus3; /* multiplying by it is additions instead */ + limb_t *t; /* 2n of scratch, for the multiplication */ + limb_t *s; /* n of scratch, for the addition and subtraction */ + limb_t *s2; /* n more, for multiplying by a, which may write over + * what it is reading */ +} field; + +static void fe_mul(const field *f, limb_t *r, const limb_t *x, const limb_t *y) +{ + mont_mul(r, x, y, f->p, f->n0, f->n, f->t); +} + +static void fe_sqr(const field *f, limb_t *r, const limb_t *x) +{ + mont_sqr(r, x, f->p, f->n0, f->n, f->t); +} + +static void fe_add(const field *f, limb_t *r, const limb_t *x, const limb_t *y) +{ + limb_t carry = add_n(r, x, y, f->n); + limb_t borrow = sub_n(f->s, r, f->p, f->n); + + select_n(r, f->s, r, (carry | (borrow ^ 1)) & 1, f->n); +} + +static void fe_sub(const field *f, limb_t *r, const limb_t *x, const limb_t *y) +{ + limb_t borrow = sub_n(r, x, y, f->n); + + add_n(f->s, r, f->p, f->n); + select_n(r, f->s, r, borrow, f->n); +} + +/* r = -x */ +static void fe_neg(const field *f, limb_t *r, const limb_t *x) +{ + fe_sub(f, r, f->zero, x); +} + +/* r = a * x, where a is the curve's. It is zero or minus three on every + * curve in use, and then this is additions rather than a multiplication. + * Which of the three it is comes from the curve, which is public. */ +static void fe_mul_a(const field *f, limb_t *r, const limb_t *x) +{ + if (f->a_is_zero) { + memset(r, 0, f->n * sizeof(limb_t)); + } else if (f->a_is_minus3) { + /* r and x are the same buffer in places, so this goes through one + * of its own */ + fe_add(f, f->s2, x, x); + fe_add(f, f->s2, f->s2, x); + fe_neg(f, r, f->s2); + } else { + fe_mul(f, r, f->a, x); + } +} + +/* Renes-Costello-Batina algorithm 1: r = x + y, for any two points */ +static void point_add(const field *f, limb_t *r, const limb_t *x, + const limb_t *y, limb_t *w) +{ + uint32_t n = f->n; + const limb_t *x1 = x, *y1 = x + n, *z1 = x + 2 * n; + const limb_t *x2 = y, *y2 = y + n, *z2 = y + 2 * n; + limb_t *t0 = w, *t1 = w + n, *t2 = w + 2 * n, *t3 = w + 3 * n; + limb_t *t4 = w + 4 * n, *t5 = w + 5 * n; + limb_t *x3 = w + 6 * n, *y3 = w + 7 * n, *z3 = w + 8 * n; + + fe_mul(f, t0, x1, x2); + fe_mul(f, t1, y1, y2); + fe_mul(f, t2, z1, z2); + fe_add(f, t3, x1, y1); + fe_add(f, t4, x2, y2); + fe_mul(f, t3, t3, t4); + fe_add(f, t4, t0, t1); + fe_sub(f, t3, t3, t4); + fe_add(f, t4, x1, z1); + fe_add(f, t5, x2, z2); + fe_mul(f, t4, t4, t5); + fe_add(f, t5, t0, t2); + fe_sub(f, t4, t4, t5); + fe_add(f, t5, y1, z1); + fe_add(f, x3, y2, z2); + fe_mul(f, t5, t5, x3); + fe_add(f, x3, t1, t2); + fe_sub(f, t5, t5, x3); + fe_mul_a(f, z3, t4); + fe_mul(f, x3, f->b3, t2); + fe_add(f, z3, x3, z3); + fe_sub(f, x3, t1, z3); + fe_add(f, z3, t1, z3); + fe_mul(f, y3, x3, z3); + fe_add(f, t1, t0, t0); + fe_add(f, t1, t1, t0); + fe_mul_a(f, t2, t2); + fe_mul(f, t4, f->b3, t4); + fe_add(f, t1, t1, t2); + fe_sub(f, t2, t0, t2); + fe_mul_a(f, t2, t2); + fe_add(f, t4, t4, t2); + fe_mul(f, t0, t1, t4); + fe_add(f, y3, y3, t0); + fe_mul(f, t0, t5, t4); + fe_mul(f, x3, t3, x3); + fe_sub(f, x3, x3, t0); + fe_mul(f, t0, t3, t1); + fe_mul(f, t1, t5, z3); + fe_add(f, z3, t1, t0); + + memcpy(r, x3, n * sizeof(limb_t)); + memcpy(r + n, y3, n * sizeof(limb_t)); + memcpy(r + 2 * n, z3, n * sizeof(limb_t)); +} + +/* Renes-Costello-Batina algorithm 3: r = x + x, for any point */ +static void point_double(const field *f, limb_t *r, const limb_t *x, limb_t *w) +{ + uint32_t n = f->n; + const limb_t *px = x, *py = x + n, *pz = x + 2 * n; + limb_t *t0 = w, *t1 = w + n, *t2 = w + 2 * n, *t3 = w + 3 * n; + limb_t *x3 = w + 6 * n, *y3 = w + 7 * n, *z3 = w + 8 * n; + + fe_sqr(f, t0, px); + fe_sqr(f, t1, py); + fe_sqr(f, t2, pz); + fe_mul(f, t3, px, py); + fe_add(f, t3, t3, t3); + fe_mul(f, z3, px, pz); + fe_add(f, z3, z3, z3); + fe_mul_a(f, x3, z3); + fe_mul(f, y3, f->b3, t2); + fe_add(f, y3, x3, y3); + fe_sub(f, x3, t1, y3); + fe_add(f, y3, t1, y3); + fe_mul(f, y3, x3, y3); + fe_mul(f, x3, t3, x3); + fe_mul(f, z3, f->b3, z3); + fe_mul_a(f, t2, t2); + fe_sub(f, t3, t0, t2); + fe_mul_a(f, t3, t3); + fe_add(f, t3, t3, z3); + fe_add(f, z3, t0, t0); + fe_add(f, t0, z3, t0); + fe_add(f, t0, t0, t2); + fe_mul(f, t0, t0, t3); + fe_add(f, y3, y3, t0); + fe_mul(f, t2, py, pz); + fe_add(f, t2, t2, t2); + fe_mul(f, t0, t2, t3); + fe_sub(f, x3, x3, t0); + fe_mul(f, z3, t2, t1); + fe_add(f, z3, z3, z3); + fe_add(f, z3, z3, z3); + + memcpy(r, x3, n * sizeof(limb_t)); + memcpy(r + n, y3, n * sizeof(limb_t)); + memcpy(r + 2 * n, z3, n * sizeof(limb_t)); +} + +/* Everything a curve needs, in one allocation: the field, the buffers the + * formulas work in, and a table of sixteen points. The caller frees it with + * ctx_free. */ +typedef struct { + field f; + limb_t *space; + uint32_t words; + uint32_t n; + limb_t *r2; /* R^2 mod p, which is what takes a number to Montgomery form */ + limb_t *one; /* 1, in Montgomery form */ + limb_t *acc; /* a point */ + limb_t *sel; /* a point */ + limb_t *tmp; /* a point */ + limb_t *work; /* 9n, for the formulas */ + limb_t *table; /* sixteen points */ + uint8_t *bytes; /* 2 * plen, for the inversion */ + uint32_t plen; +} curve_ctx; + +static void ctx_free(curve_ctx *c) +{ + /* crypton_bzero rather than memset: this memory is freed on the next + * line, and a store to memory about to die is one an optimizer may + * drop. Both buffers have held scalars. */ + if (c->space != NULL) { + crypton_bzero(c->space, c->words * sizeof(limb_t)); + free(c->space); + } + if (c->bytes != NULL) { + crypton_bzero(c->bytes, 2 * c->plen); + free(c->bytes); + } + c->space = NULL; + c->bytes = NULL; +} + +/* r = x, taken into Montgomery form */ +static void to_mont(const curve_ctx *c, limb_t *r, const limb_t *x) +{ + mont_mul(r, x, c->r2, c->f.p, c->f.n0, c->n, c->f.t); +} + +/* r = x, taken back out of it */ +static void from_mont(const curve_ctx *c, limb_t *r, const limb_t *x) +{ + mont_mul(r, x, c->one, c->f.p, c->f.n0, c->n, c->f.t); +} + +static int ctx_init(curve_ctx *c, const uint8_t *a, const uint8_t *b, + const uint8_t *p, uint32_t plen) +{ + uint32_t n = (plen + LIMB_BYTES - 1) / LIMB_BYTES; + limb_t *mp, *ma, *mb3, *zero, *scratch, *mont_t; + uint32_t i; + + memset(c, 0, sizeof(*c)); + if (plen == 0 || n == 0 || (p[plen - 1] & 1) == 0) + return -1; + + /* six single numbers, three points, four of scratch, nine for the + * formulas, and a table of sixteen points */ + c->n = n; + c->plen = plen; + c->words = (6 + 9 + 4 + 9 + 3 * TABLE_SIZE) * n; + c->space = calloc(c->words, sizeof(limb_t)); + c->bytes = calloc(2, plen); + if (c->space == NULL || c->bytes == NULL) { + ctx_free(c); + return -1; + } + mp = c->space; + ma = mp + n; + mb3 = ma + n; + c->r2 = mb3 + n; + c->one = c->r2 + n; + zero = c->one + n; + c->acc = zero + n; + c->sel = c->acc + 3 * n; + c->tmp = c->sel + 3 * n; + scratch = c->tmp + 3 * n; + mont_t = scratch + 2 * n; + c->work = mont_t + 2 * n; + c->table = c->work + 9 * n; + + if (from_be(mp, n, p, plen) != 0) { + ctx_free(c); + return -1; + } + c->f.n0 = mont_n0(mp[0]); + mont_r2(c->r2, mp, c->f.n0, n, mont_t); + + c->f.n = n; + c->f.p = mp; + c->f.a = ma; + c->f.b3 = mb3; + c->f.zero = zero; + c->f.t = mont_t; + c->f.s = scratch; + c->f.s2 = scratch + n; + c->f.a_is_zero = 0; + c->f.a_is_minus3 = 0; + + memset(c->one, 0, n * sizeof(limb_t)); + c->one[0] = 1; + to_mont(c, c->tmp, c->one); + memcpy(c->one, c->tmp, n * sizeof(limb_t)); + + /* the curve's a, and which of the three shapes it has */ + if (from_be(c->tmp, n, a, plen) != 0) { + ctx_free(c); + return -1; + } + { + limb_t nonzero = 0, differs = 0; + + for (i = 0; i < n; i++) + nonzero |= c->tmp[i]; + memset(c->sel, 0, n * sizeof(limb_t)); + c->sel[0] = 3; + sub_n(c->sel, mp, c->sel, n); /* p - 3 */ + for (i = 0; i < n; i++) + differs |= c->tmp[i] ^ c->sel[i]; + c->f.a_is_zero = nonzero == 0; + c->f.a_is_minus3 = differs == 0; + } + to_mont(c, ma, c->tmp); + + /* three times the curve's b, which is what the formulas want */ + if (from_be(c->tmp, n, b, plen) != 0) { + ctx_free(c); + return -1; + } + to_mont(c, mb3, c->tmp); + fe_add(&c->f, c->tmp, mb3, mb3); + fe_add(&c->f, mb3, c->tmp, mb3); + return 0; +} + +/* a point, in Montgomery form, from its coordinates */ +static int point_from_be(const curve_ctx *c, limb_t *r, const uint8_t *px, + const uint8_t *py) +{ + uint32_t n = c->n; + + if (from_be(c->tmp, n, px, c->plen) != 0) + return -1; + to_mont(c, r, c->tmp); + if (from_be(c->tmp, n, py, c->plen) != 0) + return -1; + to_mont(c, r + n, c->tmp); + memcpy(r + 2 * n, c->one, n * sizeof(limb_t)); + return 0; +} + +/* x = X/Z and y = Y/Z, with the inverse from Fermat, which is the + * exponentiation that hides its exponent. Returns 1 for the point at + * infinity, which has no coordinates. */ +static int point_to_be(curve_ctx *c, uint8_t *outx, uint8_t *outy, + const limb_t *pt, const uint8_t *p) +{ + uint32_t n = c->n, plen = c->plen, i; + limb_t empty = 0; + uint8_t *zbytes = c->bytes, *pm2 = c->bytes + plen; + + for (i = 0; i < n; i++) + empty |= pt[2 * n + i]; + if (empty == 0) + return 1; + + from_mont(c, c->tmp, pt + 2 * n); + to_be(zbytes, plen, c->tmp, n); + memset(c->sel, 0, n * sizeof(limb_t)); + c->sel[0] = 2; + sub_n(c->sel, c->f.p, c->sel, n); /* p - 2 */ + to_be(pm2, plen, c->sel, n); + if (crypton_powm_sec(zbytes, zbytes, plen, pm2, plen, p, plen) != 0) + return -1; + if (from_be(c->tmp, n, zbytes, plen) != 0) + return -1; + to_mont(c, c->sel, c->tmp); /* 1/Z, in Montgomery form */ + + fe_mul(&c->f, c->tmp, pt, c->sel); + from_mont(c, c->tmp + n, c->tmp); + to_be(outx, plen, c->tmp + n, n); + + fe_mul(&c->f, c->tmp, pt + n, c->sel); + from_mont(c, c->tmp + n, c->tmp); + to_be(outy, plen, c->tmp + n, n); + return 0; +} + +/* every one of the sixteen entries is read, and a mask keeps the one wanted */ +static void table_select(const curve_ctx *c, limb_t *r, const limb_t *table, + limb_t w) +{ + uint32_t n = c->n, j, l; + + memset(r, 0, 3 * n * sizeof(limb_t)); + for (j = 0; j < TABLE_SIZE; j++) { + limb_t mask = eq_mask(j, w); + + for (l = 0; l < 3 * n; l++) + r[l] |= table[3 * j * n + l] & mask; + } +} + +int crypton_ecc_mul(uint8_t *outx, uint8_t *outy, + const uint8_t *px, const uint8_t *py, + const uint8_t *k, uint32_t klen, + const uint8_t *a, const uint8_t *b, + const uint8_t *p, uint32_t plen) +{ + curve_ctx c; + uint32_t n, i, j; + int ret = -1; + +#ifdef CRYPTON_S2N_BIGNUM + /* Two of the curves that reach here have hand-written assembly, six + * to ten times faster than what follows; see cbits/s2n/README.md. + * Anything else, including those two named with a different a or b, + * goes on down. */ + { + int s2n_ret; + + if (crypton_s2n_ecc_mul(&s2n_ret, outx, outy, px, py, k, klen, + a, b, p, plen)) + return s2n_ret; + } +#endif + + if (klen == 0 || ctx_init(&c, a, b, p, plen) != 0) + return -1; + n = c.n; + + /* the table: nothing, the point, and its multiples up to fifteen */ + memset(c.table, 0, 3 * n * sizeof(limb_t)); + memcpy(c.table + n, c.one, n * sizeof(limb_t)); /* (0 : 1 : 0) */ + if (point_from_be(&c, c.table + 3 * n, px, py) != 0) + goto done; + for (i = 2; i < TABLE_SIZE; i++) + point_add(&c.f, c.table + 3 * i * n, c.table + 3 * (i - 1) * n, + c.table + 3 * n, c.work); + + /* four bits at a time, from the top */ + memcpy(c.acc, c.table, 3 * n * sizeof(limb_t)); + for (i = klen * 2; i > 0; i--) { + uint32_t nib = i - 1; + limb_t w = (k[klen - 1 - nib / 2] >> (4 * (nib % 2))) & 0xf; + + for (j = 0; j < WINDOW_BITS; j++) + point_double(&c.f, c.acc, c.acc, c.work); + table_select(&c, c.sel, c.table, w); + point_add(&c.f, c.acc, c.acc, c.sel, c.work); + } + ret = point_to_be(&c, outx, outy, c.acc, p); + +done: + ctx_free(&c); + return ret; +} + +uint32_t crypton_ecc_table_size(uint32_t plen, uint32_t klen) +{ + uint32_t n = (plen + LIMB_BYTES - 1) / LIMB_BYTES; + + if (plen == 0 || klen == 0 || n == 0) + return 0; + return klen * 2 * TABLE_SIZE * 3 * n * (uint32_t) sizeof(limb_t); +} + +int crypton_ecc_table_build(uint8_t *tab, + const uint8_t *gx, const uint8_t *gy, + uint32_t klen, + const uint8_t *a, const uint8_t *b, + const uint8_t *p, uint32_t plen) +{ + curve_ctx c; + limb_t *t = (limb_t *) (void *) tab; + uint32_t n, i, j, windows; + int ret = -1; + + if (klen == 0 || ctx_init(&c, a, b, p, plen) != 0) + return -1; + n = c.n; + windows = klen * 2; + + /* acc walks the powers: at window i it holds 16^i times the point */ + if (point_from_be(&c, c.acc, gx, gy) != 0) + goto done; + for (i = 0; i < windows; i++) { + limb_t *slot = t + (size_t) i * TABLE_SIZE * 3 * n; + + memset(slot, 0, 3 * n * sizeof(limb_t)); + memcpy(slot + n, c.one, n * sizeof(limb_t)); /* (0 : 1 : 0) */ + memcpy(slot + 3 * n, c.acc, 3 * n * sizeof(limb_t)); + for (j = 2; j < TABLE_SIZE; j++) + point_add(&c.f, slot + 3 * j * n, slot + 3 * (j - 1) * n, + c.acc, c.work); + for (j = 0; j < WINDOW_BITS; j++) + point_double(&c.f, c.acc, c.acc, c.work); + } + ret = 0; + +done: + ctx_free(&c); + return ret; +} + +int crypton_ecc_table_mul(uint8_t *outx, uint8_t *outy, const uint8_t *tab, + const uint8_t *k, uint32_t klen, + const uint8_t *a, const uint8_t *b, + const uint8_t *p, uint32_t plen) +{ + curve_ctx c; + const limb_t *t = (const limb_t *) (const void *) tab; + uint32_t n, i; + int ret; + + if (klen == 0 || ctx_init(&c, a, b, p, plen) != 0) + return -1; + n = c.n; + + /* nothing to start with, and one addition for every four bits: the + * multiples the doubling would work out are all in the table */ + memset(c.acc, 0, 3 * n * sizeof(limb_t)); + memcpy(c.acc + n, c.one, n * sizeof(limb_t)); + for (i = 0; i < klen * 2; i++) { + limb_t w = (k[klen - 1 - i / 2] >> (4 * (i % 2))) & 0xf; + + table_select(&c, c.sel, t + (size_t) i * TABLE_SIZE * 3 * n, w); + point_add(&c.f, c.acc, c.acc, c.sel, c.work); + } + ret = point_to_be(&c, outx, outy, c.acc, p); + + ctx_free(&c); + return ret; +} diff --git a/cbits/crypton_ecc.h b/cbits/crypton_ecc.h new file mode 100644 --- /dev/null +++ b/cbits/crypton_ecc.h @@ -0,0 +1,57 @@ +#ifndef CRYPTON_ECC_H +#define CRYPTON_ECC_H + +#include + +/* Multiply a point of a curve over a prime field by a scalar, doing the same + * work whatever the scalar is. + * + * The curve is y^2 = x^3 + a*x + b over the field of p, which has to be an + * odd prime; the point has to be on it and not the point at infinity, and its + * coordinates, a and b have to be below p. Every number is a big-endian byte + * string, and the coordinates, a, b and p are all plen bytes. + * + * The scalar is walked four bits at a time over every one of the klen bytes + * it is given, so its value is hidden but its length is not. + * + * Returns 0 with the answer in outx and outy, 1 if the answer is the point at + * infinity, which has no coordinates, and -1 if the arguments are not ones it + * can work with or memory ran out. + */ +int crypton_ecc_mul(uint8_t *outx, uint8_t *outy, + const uint8_t *px, const uint8_t *py, + const uint8_t *k, uint32_t klen, + const uint8_t *a, const uint8_t *b, + const uint8_t *p, uint32_t plen); + +/* How many bytes a table for a base point takes, for a prime of plen bytes + * and scalars of klen. Zero if those sizes are not ones it can work with. */ +uint32_t crypton_ecc_table_size(uint32_t plen, uint32_t klen); + +/* Fill that many bytes with the multiples of a point that + * crypton_ecc_table_mul wants: for every four bits of a scalar, the sixteen + * points that those bits can call for. The buffer has to be aligned as a + * pointer is, which is what an allocator gives. + * + * The point, a, b and p are as for crypton_ecc_mul. Returns 0, or -1 for + * arguments it cannot work with or memory it could not have. + */ +int crypton_ecc_table_build(uint8_t *table, + const uint8_t *gx, const uint8_t *gy, + uint32_t klen, + const uint8_t *a, const uint8_t *b, + const uint8_t *p, uint32_t plen); + +/* Multiply the point that table was built for by a scalar of klen bytes, + * which has to be the klen the table was built for. One addition for every + * four bits and no doublings, since the table holds what the doublings would + * work out. + * + * Returns what crypton_ecc_mul returns. + */ +int crypton_ecc_table_mul(uint8_t *outx, uint8_t *outy, const uint8_t *table, + const uint8_t *k, uint32_t klen, + const uint8_t *a, const uint8_t *b, + const uint8_t *p, uint32_t plen); + +#endif diff --git a/cbits/crypton_ecc_s2n.c b/cbits/crypton_ecc_s2n.c new file mode 100644 --- /dev/null +++ b/cbits/crypton_ecc_s2n.c @@ -0,0 +1,204 @@ +#include + +#include "crypton_ecc_s2n.h" +#include "crypton_ecc_s2n_curves.h" +#include "crypton_cpu.h" + +/* P-384, Montgomery domain, six words a coordinate */ +extern void p384_montjscalarmul(uint64_t *res, const uint64_t *s, const uint64_t *p); +extern void p384_montjscalarmul_alt(uint64_t *res, const uint64_t *s, const uint64_t *p); +extern void bignum_tomont_p384(uint64_t *z, const uint64_t *x); +extern void bignum_tomont_p384_alt(uint64_t *z, const uint64_t *x); +extern void bignum_deamont_p384(uint64_t *z, const uint64_t *x); +extern void bignum_deamont_p384_alt(uint64_t *z, const uint64_t *x); +extern void bignum_montmul_p384(uint64_t *z, const uint64_t *x, const uint64_t *y); +extern void bignum_montmul_p384_alt(uint64_t *z, const uint64_t *x, const uint64_t *y); +extern void bignum_montsqr_p384(uint64_t *z, const uint64_t *x); +extern void bignum_montsqr_p384_alt(uint64_t *z, const uint64_t *x); +extern void bignum_montinv_p384(uint64_t *z, const uint64_t *x); + +/* P-521, ordinary values, nine words a coordinate */ +extern void p521_jscalarmul(uint64_t *res, const uint64_t *s, const uint64_t *p); +extern void p521_jscalarmul_alt(uint64_t *res, const uint64_t *s, const uint64_t *p); +extern void bignum_mul_p521(uint64_t *z, const uint64_t *x, const uint64_t *y); +extern void bignum_mul_p521_alt(uint64_t *z, const uint64_t *x, const uint64_t *y); +extern void bignum_sqr_p521(uint64_t *z, const uint64_t *x); +extern void bignum_sqr_p521_alt(uint64_t *z, const uint64_t *x); +extern void bignum_inv_p521(uint64_t *z, const uint64_t *x); + +/* One flavour or the other, all the way through: on x86-64 the plain form + * wants MULX, ADCX and ADOX and _alt is the fallback, so mixing them would + * fault on a machine without those. */ +struct p384_asm { + void (*tomont)(uint64_t *, const uint64_t *); + void (*deamont)(uint64_t *, const uint64_t *); + void (*montmul)(uint64_t *, const uint64_t *, const uint64_t *); + void (*montsqr)(uint64_t *, const uint64_t *); + void (*jscalarmul)(uint64_t *, const uint64_t *, const uint64_t *); +}; +struct p521_asm { + void (*mul)(uint64_t *, const uint64_t *, const uint64_t *); + void (*sqr)(uint64_t *, const uint64_t *); + void (*jscalarmul)(uint64_t *, const uint64_t *, const uint64_t *); +}; + +static const struct p384_asm p384_std = { + bignum_tomont_p384, bignum_deamont_p384, bignum_montmul_p384, + bignum_montsqr_p384, p384_montjscalarmul +}; +static const struct p384_asm p384_alt = { + bignum_tomont_p384_alt, bignum_deamont_p384_alt, + bignum_montmul_p384_alt, bignum_montsqr_p384_alt, + p384_montjscalarmul_alt +}; +static const struct p521_asm p521_std = { + bignum_mul_p521, bignum_sqr_p521, p521_jscalarmul +}; +static const struct p521_asm p521_alt = { + bignum_mul_p521_alt, bignum_sqr_p521_alt, p521_jscalarmul_alt +}; + +/* The same question as for P-256, answered the same way; see + * cbits/p256/p256_s2n.c. */ +static int use_alt(void) +{ +#if defined(__aarch64__) || defined(__arm64__) +#ifdef __APPLE__ + return 1; +#else + return 0; +#endif +#else + return (crypton_x86_simd_features() & CRYPTON_X86_ADX) == 0; +#endif +} + +#define MAXWORDS 9 + +static void be_to_le64(uint64_t *w, const uint8_t *b, uint32_t len) +{ + uint32_t i; + + for (i = 0; i < MAXWORDS; i++) + w[i] = 0; + for (i = 0; i < len; i++) { + uint32_t pos = len - 1 - i; + w[pos / 8] |= (uint64_t)b[i] << (8 * (pos % 8)); + } +} + +static void le64_to_be(uint8_t *b, uint32_t len, const uint64_t *w) +{ + uint32_t i; + + for (i = 0; i < len; i++) + b[len - 1 - i] = (uint8_t)(w[i / 8] >> (8 * (i % 8))); +} + +static int is_zero(const uint64_t *w, int words) +{ + uint64_t acc = 0; + int i; + + for (i = 0; i < words; i++) + acc |= w[i]; + return acc == 0; +} + +static int mul_p384(uint8_t *outx, uint8_t *outy, const uint8_t *px, + const uint8_t *py, const uint8_t *k, uint32_t klen) +{ + const struct p384_asm *f = use_alt() ? &p384_alt : &p384_std; + uint64_t pt[18], res[18], sc[MAXWORDS], t[MAXWORDS]; + uint64_t zi[6], zi2[6], zi3[6], num[6]; + static const uint64_t one[6] = {1, 0, 0, 0, 0, 0}; + + be_to_le64(t, px, P384_PLEN); + f->tomont(pt, t); + be_to_le64(t, py, P384_PLEN); + f->tomont(pt + 6, t); + f->tomont(pt + 12, one); + be_to_le64(sc, k, klen); + + f->jscalarmul(res, sc, pt); + if (is_zero(res + 12, 6)) + return 1; + + /* affine again: x = X/Z^2, y = Y/Z^3, with the inverse taken in the + * Montgomery domain so that it lands where the rest of these are */ + bignum_montinv_p384(zi, res + 12); + f->montsqr(zi2, zi); + f->montmul(zi3, zi2, zi); + f->montmul(num, res, zi2); + f->deamont(t, num); + le64_to_be(outx, P384_PLEN, t); + f->montmul(num, res + 6, zi3); + f->deamont(t, num); + le64_to_be(outy, P384_PLEN, t); + return 0; +} + +static int mul_p521(uint8_t *outx, uint8_t *outy, const uint8_t *px, + const uint8_t *py, const uint8_t *k, uint32_t klen) +{ + const struct p521_asm *f = use_alt() ? &p521_alt : &p521_std; + uint64_t pt[27], res[27], sc[MAXWORDS], t[MAXWORDS]; + uint64_t zi[9], zi2[9], zi3[9]; + static const uint64_t one[9] = {1, 0, 0, 0, 0, 0, 0, 0, 0}; + + be_to_le64(pt, px, P521_PLEN); + be_to_le64(pt + 9, py, P521_PLEN); + memcpy(pt + 18, one, sizeof(one)); + be_to_le64(sc, k, klen); + + f->jscalarmul(res, sc, pt); + if (is_zero(res + 18, 9)) + return 1; + + bignum_inv_p521(zi, res + 18); + f->sqr(zi2, zi); + f->mul(zi3, zi2, zi); + f->mul(t, res, zi2); + le64_to_be(outx, P521_PLEN, t); + f->mul(t, res + 9, zi3); + le64_to_be(outy, P521_PLEN, t); + return 0; +} + +int crypton_s2n_ecc_mul(int *ret, uint8_t *outx, uint8_t *outy, + const uint8_t *px, const uint8_t *py, + const uint8_t *k, uint32_t klen, + const uint8_t *a, const uint8_t *b, + const uint8_t *p, uint32_t plen) +{ + int is384; + + if (plen == P384_PLEN && memcmp(p, P384_P, plen) == 0 + && memcmp(a, P384_A, plen) == 0 && memcmp(b, P384_B, plen) == 0) + is384 = 1; + else if (plen == P521_PLEN && memcmp(p, P521_P, plen) == 0 + && memcmp(a, P521_A, plen) == 0 + && memcmp(b, P521_B, plen) == 0) + is384 = 0; + else + return 0; /* some other curve; the C answers it */ + + /* A scalar longer than the prime is not something the word arrays + * here hold, and it is not what any caller of these two curves + * sends, so leave it to the C rather than grow a second path. */ + if (klen == 0 || klen > plen) + return 0; + + /* The C does not require the coordinates to be reduced -- it takes + * whatever fits in its limbs and lets the conversion to Montgomery + * form reduce it. Rather than carry a reduction here to match, hand + * that case back: nothing sends one, and this way the two cannot + * disagree about it. (A differential test against the C found this; + * the first version of this check returned -1 and was wrong.) */ + if (memcmp(px, p, plen) >= 0 || memcmp(py, p, plen) >= 0) + return 0; + + *ret = is384 ? mul_p384(outx, outy, px, py, k, klen) + : mul_p521(outx, outy, px, py, k, klen); + return 1; +} diff --git a/cbits/crypton_ecc_s2n.h b/cbits/crypton_ecc_s2n.h new file mode 100644 --- /dev/null +++ b/cbits/crypton_ecc_s2n.h @@ -0,0 +1,27 @@ +/* + * P-384 and P-521 through the vendored s2n-bignum assembly, for the two + * curves it knows among the ones crypton_ecc_mul is asked about. + * + * s2n-bignum has no affine wrapper for these two -- only a scalar + * multiplication on Jacobian points, Montgomery-domain for P-384 and plain + * for P-521 -- so the conversions in and out are built here out of its own + * field operations. See cbits/s2n/README.md. + */ +#ifndef CRYPTON_ECC_S2N_H +#define CRYPTON_ECC_S2N_H + +#include + +/* + * Returns 1 if this was a curve it knows and it answered, with *ret set to + * what crypton_ecc_mul should return -- 0 and the point in outx and outy, 1 + * for the point at infinity, or -1 for arguments it will not take. Returns + * 0 if the curve is not one of its two and nothing was written. + */ +int crypton_s2n_ecc_mul(int *ret, uint8_t *outx, uint8_t *outy, + const uint8_t *px, const uint8_t *py, + const uint8_t *k, uint32_t klen, + const uint8_t *a, const uint8_t *b, + const uint8_t *p, uint32_t plen); + +#endif diff --git a/cbits/crypton_ecc_s2n_curves.h b/cbits/crypton_ecc_s2n_curves.h new file mode 100644 --- /dev/null +++ b/cbits/crypton_ecc_s2n_curves.h @@ -0,0 +1,76 @@ +/* + * p, a and b of the two curves the vendored s2n-bignum assembly knows, as + * big-endian bytes, which is how crypton_ecc_mul is given a curve. They are + * here to be compared against, not computed with: a caller naming some other + * curve with the same sizes has to go to the C. + * + * Generated from `openssl ecparam -name secp384r1 -param_enc explicit -text` + * and the same for secp521r1, rather than transcribed. + */ +#ifndef CRYPTON_ECC_S2N_CURVES_H +#define CRYPTON_ECC_S2N_CURVES_H + +#include + +#define P384_PLEN 48 +static const uint8_t P384_P[48] = { + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe, + 0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00, + 0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff +}; +static const uint8_t P384_A[48] = { + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe, + 0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00, + 0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xfc +}; +static const uint8_t P384_B[48] = { + 0xb3,0x31,0x2f,0xa7,0xe2,0x3e,0xe7,0xe4, + 0x98,0x8e,0x05,0x6b,0xe3,0xf8,0x2d,0x19, + 0x18,0x1d,0x9c,0x6e,0xfe,0x81,0x41,0x12, + 0x03,0x14,0x08,0x8f,0x50,0x13,0x87,0x5a, + 0xc6,0x56,0x39,0x8d,0x8a,0x2e,0xd1,0x9d, + 0x2a,0x85,0xc8,0xed,0xd3,0xec,0x2a,0xef +}; + +#define P521_PLEN 66 +static const uint8_t P521_P[66] = { + 0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff +}; +static const uint8_t P521_A[66] = { + 0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xfc +}; +static const uint8_t P521_B[66] = { + 0x00,0x51,0x95,0x3e,0xb9,0x61,0x8e,0x1c, + 0x9a,0x1f,0x92,0x9a,0x21,0xa0,0xb6,0x85, + 0x40,0xee,0xa2,0xda,0x72,0x5b,0x99,0xb3, + 0x15,0xf3,0xb8,0xb4,0x89,0x91,0x8e,0xf1, + 0x09,0xe1,0x56,0x19,0x39,0x51,0xec,0x7e, + 0x93,0x7b,0x16,0x52,0xc0,0xbd,0x3b,0xb1, + 0xbf,0x07,0x35,0x73,0xdf,0x88,0x3d,0x2c, + 0x34,0xf1,0xef,0x45,0x1f,0xd4,0x6b,0x50, + 0x3f,0x00 +}; + +#endif diff --git a/cbits/crypton_f2m.c b/cbits/crypton_f2m.c new file mode 100644 --- /dev/null +++ b/cbits/crypton_f2m.c @@ -0,0 +1,555 @@ +/* + * Arithmetic in a binary field, and the scalar multiplication a curve over + * one needs, doing the same work whatever the scalar is. + * + * A carry-less multiplication is the one thing a binary field needs and + * ordinary arithmetic does not give. Where the processor has the instruction + * for it this uses it -- PMULL on aarch64, PCLMULQDQ on x86-64 -- asking the + * machine at run time where the compiler has not already been told. Where it + * does not, each operand is split into four groups of every fourth bit, so + * that the carries of an ordinary multiplication cannot reach the bits that + * matter, and masked away afterwards. None of the three has a table or a + * branch that depends on what it is multiplying. + * + * Reduction folds what is above the degree back in, which the polynomial + * being a trinomial or a pentanomial with exponents that are public makes + * cheap. Inversion is the exponentiation Fermat gives, whose exponent is + * likewise public. + * + * The multiplication itself is Montgomery's ladder: it carries the x + * coordinates of the multiples of two consecutive numbers, whose difference + * is therefore the point, and spends one addition and one doubling on every + * bit of the scalar whichever way the bit goes. + */ +#include +#include +#include +#include +#include "crypton_armv8_target.h" +#include +#include + +typedef uint64_t limb_t; +#define LIMB_BITS 64 +#define LIMB_BYTES 8 + +/* the four groups, so that no carry of an ordinary multiplication reaches a + * bit another partial product needs */ +static void clmul32(uint32_t x, uint32_t y, limb_t *out) +{ + limb_t x0 = x & 0x11111111u, x1 = x & 0x22222222u; + limb_t x2 = x & 0x44444444u, x3 = x & 0x88888888u; + limb_t y0 = y & 0x11111111u, y1 = y & 0x22222222u; + limb_t y2 = y & 0x44444444u, y3 = y & 0x88888888u; + limb_t z0 = (x0 * y0) ^ (x1 * y3) ^ (x2 * y2) ^ (x3 * y1); + limb_t z1 = (x0 * y1) ^ (x1 * y0) ^ (x2 * y3) ^ (x3 * y2); + limb_t z2 = (x0 * y2) ^ (x1 * y1) ^ (x2 * y0) ^ (x3 * y3); + limb_t z3 = (x0 * y3) ^ (x1 * y2) ^ (x2 * y1) ^ (x3 * y0); + + *out = (z0 & 0x1111111111111111ULL) | (z1 & 0x2222222222222222ULL) + | (z2 & 0x4444444444444444ULL) | (z3 & 0x8888888888888888ULL); +} + +static inline void clmul(limb_t a, limb_t b, limb_t *lo, limb_t *hi) +{ + limb_t ah = a >> 32, bh = b >> 32, t0, t1, t2; + + clmul32((uint32_t) a, (uint32_t) b, &t0); + clmul32((uint32_t) ah, (uint32_t) bh, &t1); + clmul32((uint32_t) (a ^ ah), (uint32_t) (b ^ bh), &t2); + t2 ^= t0 ^ t1; + *lo = t0 ^ (t2 << 32); + *hi = t1 ^ (t2 >> 32); +} + +/* t = a * b, over 2n limbs */ +static void poly_mul_generic(limb_t *t, const limb_t *a, const limb_t *b, + uint32_t n) +{ + uint32_t i, j; + + memset(t, 0, 2 * n * sizeof(limb_t)); + for (i = 0; i < n; i++) + for (j = 0; j < n; j++) { + limb_t lo, hi; + + clmul(a[i], b[j], &lo, &hi); + t[i + j] ^= lo; + t[i + j + 1] ^= hi; + } +} + +#if defined(__aarch64__) && (defined(__GNUC__) || defined(__clang__)) +#define HAVE_PMULL 1 +#include + +/* Where the compiler has been told the machine has the crypto extensions -- + * which it is on every Apple processor -- this needs no attribute and no + * question. Where it has not, the attribute lets the instruction be emitted + * in this one function, and the machine is asked before it is called. */ +#if defined(__ARM_FEATURE_CRYPTO) || defined(__ARM_FEATURE_AES) +#define PMULL_ATTR +#define PMULL_ALWAYS 1 +#else +#define PMULL_ATTR CRYPTON_TARGET_ARMV8_CRYPTO +#define PMULL_ALWAYS 0 +#endif + +#if !PMULL_ALWAYS +#if defined(__linux__) || defined(__ANDROID__) +#include +#include +#elif defined(__FreeBSD__) +#include +#include +#elif defined(__APPLE__) +#include +#endif +#endif + +static int have_pmull(void) +{ +#if PMULL_ALWAYS + return 1; +#elif (defined(__linux__) || defined(__ANDROID__)) && defined(HWCAP_PMULL) + static int answer = -1; + + if (answer < 0) + answer = (getauxval(AT_HWCAP) & HWCAP_PMULL) != 0; + return answer; +#elif defined(__FreeBSD__) && defined(HWCAP_PMULL) + static int answer = -1; + + if (answer < 0) { + unsigned long hwcap = 0; + + elf_aux_info(AT_HWCAP, &hwcap, sizeof(hwcap)); + answer = (hwcap & HWCAP_PMULL) != 0; + } + return answer; +#elif defined(__APPLE__) + static int answer = -1; + + if (answer < 0) { + int has = 0; + size_t len = sizeof(has); + + answer = sysctlbyname("hw.optional.arm.FEAT_PMULL", &has, &len, + NULL, 0) == 0 + && has != 0; + } + return answer; +#else + return 0; /* no way to ask, so the four groups it is */ +#endif +} + +PMULL_ATTR +static void poly_mul_pmull(limb_t *t, const limb_t *a, const limb_t *b, + uint32_t n) +{ + uint32_t i, j; + + memset(t, 0, 2 * n * sizeof(limb_t)); + for (i = 0; i < n; i++) + for (j = 0; j < n; j++) { + uint64x2_t v = vreinterpretq_u64_p128( + vmull_p64((poly64_t) a[i], (poly64_t) b[j])); + + t[i + j] ^= vgetq_lane_u64(v, 0); + t[i + j + 1] ^= vgetq_lane_u64(v, 1); + } +} +#else +#define HAVE_PMULL 0 +#endif + +#if defined(__x86_64__) && (defined(__GNUC__) || defined(__clang__)) +#define HAVE_PCLMUL 1 +#include + +/* The same, with the instruction x86 has for it. The attribute is what lets + * one file hold both this and the code for a processor without it: the + * compiler may emit the instruction here and nowhere else, and the caller + * asks the processor before it comes this way. + */ +__attribute__((target("pclmul,sse2"))) +static void poly_mul_pclmul(limb_t *t, const limb_t *a, const limb_t *b, + uint32_t n) +{ + uint32_t i, j; + + memset(t, 0, 2 * n * sizeof(limb_t)); + for (i = 0; i < n; i++) + for (j = 0; j < n; j++) { + __m128i p = _mm_clmulepi64_si128( + _mm_cvtsi64_si128((long long) a[i]), + _mm_cvtsi64_si128((long long) b[j]), 0x00); + + t[i + j] ^= (limb_t) _mm_cvtsi128_si64(p); + t[i + j + 1] ^= + (limb_t) _mm_cvtsi128_si64(_mm_srli_si128(p, 8)); + } +} +#else +#define HAVE_PCLMUL 0 +#endif + +static void poly_mul(limb_t *t, const limb_t *a, const limb_t *b, uint32_t n) +{ +#if HAVE_PMULL + /* what the processor has is not what is being multiplied, so asking is + * not a side channel, and the answer is worked out once */ + if (have_pmull()) { + poly_mul_pmull(t, a, b, n); + return; + } +#endif +#if HAVE_PCLMUL + /* what the processor has is not what is being multiplied, so asking is + * not a side channel, and the answer is worked out once */ + if (crypton_x86_simd_features() & CRYPTON_X86_PCLMUL) { + poly_mul_pclmul(t, a, b, n); + return; + } +#endif + poly_mul_generic(t, a, b, n); +} + +/* the bits of a 32-bit half, spread out with a zero between each pair */ +static limb_t spread(limb_t x) +{ + x = (x | (x << 16)) & 0x0000ffff0000ffffULL; + x = (x | (x << 8)) & 0x00ff00ff00ff00ffULL; + x = (x | (x << 4)) & 0x0f0f0f0f0f0f0f0fULL; + x = (x | (x << 2)) & 0x3333333333333333ULL; + x = (x | (x << 1)) & 0x5555555555555555ULL; + return x; +} + +/* t = a * a, which in a binary field is the bits of a spread out */ +static void poly_sqr(limb_t *t, const limb_t *a, uint32_t n) +{ + uint32_t i; + + for (i = 0; i < n; i++) { + t[2 * i] = spread(a[i] & 0xffffffffULL); + t[2 * i + 1] = spread(a[i] >> 32); + } +} + +/* r = t mod fx, where fx is x^m plus the terms given, which are public + * + * Everything above bit m comes back in as those terms, a word at a time, and + * then what is left above bit m within its own word is folded the same way. + */ +static void poly_reduce(limb_t *r, limb_t *t, uint32_t n, uint32_t m, + const uint32_t *terms, uint32_t nterms) +{ + uint32_t mw = m / LIMB_BITS, mb = m % LIMB_BITS, i, j, pass; + + for (i = 2 * n; i > mw + 1; i--) { + limb_t w = t[i - 1]; + + t[i - 1] = 0; + for (j = 0; j < nterms; j++) { + uint32_t pos = (i - 1) * LIMB_BITS - m + terms[j]; + uint32_t pw = pos / LIMB_BITS, pb = pos % LIMB_BITS; + + t[pw] ^= w << pb; + if (pb != 0) + t[pw + 1] ^= w >> (LIMB_BITS - pb); + } + } + + /* what is left above bit m sits in the word that holds it; folding it + * can put a little back, so it is done twice */ + for (pass = 0; pass < 2; pass++) { + limb_t w; + + if (mb == 0) + break; + w = t[mw] >> mb; + t[mw] &= ((limb_t) 1 << mb) - 1; + for (j = 0; j < nterms; j++) { + uint32_t pw = terms[j] / LIMB_BITS, pb = terms[j] % LIMB_BITS; + + t[pw] ^= w << pb; + if (pb != 0 && pw + 1 <= mw) + t[pw + 1] ^= w >> (LIMB_BITS - pb); + } + } + memcpy(r, t, n * sizeof(limb_t)); +} + +/* the field: its polynomial, and scratch for a product */ +typedef struct { + uint32_t n; + uint32_t m; + uint32_t terms[8]; /* the polynomial without its leading term */ + uint32_t nterms; + limb_t *t; /* 2n */ +} bfield; + +static void fe_mul(const bfield *f, limb_t *r, const limb_t *a, const limb_t *b) +{ + poly_mul(f->t, a, b, f->n); + poly_reduce(r, f->t, f->n, f->m, f->terms, f->nterms); +} + +static void fe_sqr(const bfield *f, limb_t *r, const limb_t *a) +{ + poly_sqr(f->t, a, f->n); + poly_reduce(r, f->t, f->n, f->m, f->terms, f->nterms); +} + +static void fe_add(const bfield *f, limb_t *r, const limb_t *a, const limb_t *b) +{ + uint32_t i; + + for (i = 0; i < f->n; i++) + r[i] = a[i] ^ b[i]; +} + +static int fe_is_zero(const bfield *f, const limb_t *a) +{ + limb_t acc = 0; + uint32_t i; + + for (i = 0; i < f->n; i++) + acc |= a[i]; + return acc == 0; +} + +/* r = 1/a, by Fermat: a to the power 2^m - 2, whose exponent is public */ +static void fe_inv(const bfield *f, limb_t *r, const limb_t *a, limb_t *tmp) +{ + uint32_t i; + + memcpy(tmp, a, f->n * sizeof(limb_t)); + for (i = 1; i + 1 < f->m; i++) { /* a to the power 2^(m-1) - 1 */ + fe_sqr(f, tmp, tmp); + fe_mul(f, tmp, tmp, a); + } + fe_sqr(f, r, tmp); +} + +/* big-endian bytes into limbs, least significant limb first */ +static int from_be(limb_t *r, uint32_t n, const uint8_t *src, uint32_t len) +{ + uint32_t i; + + memset(r, 0, n * sizeof(limb_t)); + for (i = 0; i < len; i++) { + uint8_t byte = src[len - 1 - i]; + + if (i / LIMB_BYTES >= n) { + if (byte != 0) + return 1; + continue; + } + r[i / LIMB_BYTES] |= (limb_t) byte << (8 * (i % LIMB_BYTES)); + } + return 0; +} + +static void to_be(uint8_t *dst, uint32_t len, const limb_t *a, uint32_t n) +{ + uint32_t i; + + for (i = 0; i < len; i++) { + uint32_t pos = len - 1 - i, li = i / LIMB_BYTES; + + dst[pos] = li < n ? (uint8_t) (a[li] >> (8 * (i % LIMB_BYTES))) : 0; + } +} + +/* exchange a and b when swap is one */ +static void cswap(limb_t *a, limb_t *b, limb_t swap, uint32_t n) +{ + limb_t mask = (limb_t) 0 - swap; + uint32_t i; + + for (i = 0; i < n; i++) { + limb_t t = (a[i] ^ b[i]) & mask; + + a[i] ^= t; + b[i] ^= t; + } +} + +int crypton_f2m_mul(uint8_t *outx, uint8_t *outy, + const uint8_t *px, const uint8_t *py, + const uint8_t *k, uint32_t klen, + const uint8_t *b, uint32_t flen, + const uint8_t *fx, uint32_t fxlen) +{ + uint32_t fn = (fxlen + LIMB_BYTES - 1) / LIMB_BYTES; + uint32_t n, words, i; + limb_t *space = NULL, *poly, *x, *y, *bb, *x1, *z1, *x2, *z2; + limb_t *t1, *t2, *t3, *prod; + bfield f; + int ret = -1; + + if (flen == 0 || fxlen == 0 || klen == 0 || fn == 0) + return -1; + + /* the polynomial, and the terms below its leading one */ + { + limb_t *tmp = calloc(fn, sizeof(limb_t)); + uint32_t m = 0; + + if (tmp == NULL) + return -1; + if (from_be(tmp, fn, fx, fxlen) != 0) { + free(tmp); + return -1; + } + for (i = fn; i > 0 && m == 0; i--) + if (tmp[i - 1] != 0) { + limb_t top = tmp[i - 1]; + + m = (i - 1) * LIMB_BITS; + while (top != 0) { + m++; + top >>= 1; + } + m--; /* the degree is one under the bit count */ + } + f.m = m; + f.nterms = 0; + for (i = 0; i < m; i++) + if ((tmp[i / LIMB_BITS] >> (i % LIMB_BITS)) & 1) { + if (f.nterms >= 8) { + free(tmp); + return -1; /* more terms than anything in use has */ + } + f.terms[f.nterms++] = i; + } + free(tmp); + if (m == 0 || f.nterms == 0) + return -1; + } + + n = (f.m + LIMB_BITS) / LIMB_BITS; /* room for the degree itself */ + f.n = n; + words = 12 * n + 2 * n; + space = calloc(words, sizeof(limb_t)); + if (space == NULL) + return -1; + poly = space; /* unused beyond keeping the layout plain */ + x = poly + n; + y = x + n; + bb = y + n; + x1 = bb + n; + z1 = x1 + n; + x2 = z1 + n; + z2 = x2 + n; + t1 = z2 + n; + t2 = t1 + n; + t3 = t2 + n; + prod = t3 + n; /* 2n, and one n before it is spare */ + f.t = prod; + + if (from_be(x, n, px, flen) != 0 || from_be(y, n, py, flen) != 0 + || from_be(bb, n, b, flen) != 0) + goto done; + if (fe_is_zero(&f, x)) + goto done; /* the point with no x is the caller's business */ + + /* nothing, and the point next to it */ + memset(x1, 0, n * sizeof(limb_t)); + x1[0] = 1; + memset(z1, 0, n * sizeof(limb_t)); + memcpy(x2, x, n * sizeof(limb_t)); + memset(z2, 0, n * sizeof(limb_t)); + z2[0] = 1; + + for (i = klen * 8; i > 0; i--) { + uint32_t bit = i - 1; + limb_t sel = (k[klen - 1 - bit / 8] >> (bit % 8)) & 1; + + /* whichever way the bit goes, one addition and one doubling: the + * exchange before and after is what puts them where the bit asks */ + cswap(x1, x2, sel, n); + cswap(z1, z2, sel, n); + + /* the two added, which their difference being the point allows */ + fe_mul(&f, t1, x1, z2); + fe_mul(&f, t2, x2, z1); + fe_add(&f, t3, t1, t2); + fe_sqr(&f, t3, t3); /* the new z */ + fe_mul(&f, t1, t1, t2); + fe_mul(&f, t2, x, t3); + fe_add(&f, t2, t2, t1); /* the new x */ + + /* and one of them doubled */ + fe_sqr(&f, x1, x1); + fe_sqr(&f, z1, z1); + fe_mul(&f, t1, x1, z1); /* z of the double */ + fe_sqr(&f, x1, x1); + fe_sqr(&f, z1, z1); + fe_mul(&f, z1, z1, bb); + fe_add(&f, x1, x1, z1); /* x of the double */ + memcpy(z1, t1, n * sizeof(limb_t)); + + memcpy(x2, t2, n * sizeof(limb_t)); + memcpy(z2, t3, n * sizeof(limb_t)); + + cswap(x1, x2, sel, n); + cswap(z1, z2, sel, n); + } + + if (fe_is_zero(&f, z1)) { + ret = 1; /* the multiple is at infinity */ + goto done; + } + if (fe_is_zero(&f, z2)) { + /* the one after it is, so this one is the negation of the point */ + to_be(outx, flen, x, n); + fe_add(&f, t1, x, y); + to_be(outy, flen, t1, n); + ret = 0; + goto done; + } + + /* x1/z1 and x2/z2, and the y the ladder does not carry, out of one + * inversion: 1/(z1 z2 x) gives each of the three */ + fe_mul(&f, t1, z1, z2); + fe_mul(&f, t1, t1, x); + fe_inv(&f, t2, t1, t3); + { + limb_t *xa = x1, *xb = x2, *u = t1, *v = t3; + + fe_mul(&f, u, z2, x); + fe_mul(&f, u, u, t2); /* 1/z1 */ + fe_mul(&f, xa, x1, u); + fe_mul(&f, v, z1, x); + fe_mul(&f, v, v, t2); /* 1/z2 */ + fe_mul(&f, xb, x2, v); + fe_mul(&f, u, z1, z2); + fe_mul(&f, u, u, t2); /* 1/x */ + + fe_add(&f, v, xa, x); /* x1 + x */ + fe_add(&f, xb, xb, x); /* x2 + x */ + fe_mul(&f, xb, v, xb); /* (x1 + x)(x2 + x) */ + fe_sqr(&f, t2, x); + fe_add(&f, xb, xb, t2); + fe_add(&f, xb, xb, y); /* + x^2 + y */ + fe_mul(&f, xb, v, xb); + fe_mul(&f, xb, xb, u); /* over x */ + fe_add(&f, xb, xb, y); + to_be(outx, flen, xa, n); + to_be(outy, flen, xb, n); + } + ret = 0; + +done: + /* freed on the next line, so a plain memset here is a store the + * optimizer may drop */ + if (space != NULL) { + crypton_bzero(space, words * sizeof(limb_t)); + free(space); + } + return ret; +} diff --git a/cbits/crypton_f2m.h b/cbits/crypton_f2m.h new file mode 100644 --- /dev/null +++ b/cbits/crypton_f2m.h @@ -0,0 +1,31 @@ +#ifndef CRYPTON_F2M_H +#define CRYPTON_F2M_H + +#include + +/* Multiply a point of a curve over a binary field by a scalar, doing the same + * work whatever the scalar is. + * + * The curve is y^2 + x*y = x^3 + a*x^2 + b over the field of the polynomial + * fx, and a does not come into it: the ladder carries the x coordinates of + * two consecutive multiples, and what it takes to add them is b alone. The + * point has to be on the curve and to have an x that is not zero -- the one + * point with none is its own negation, and the caller sees to it. + * + * Every number is a big-endian byte string. The coordinates and b are flen + * bytes, and fx is the whole polynomial, x^m included, in fxlen. + * + * The scalar is walked over every bit of the klen bytes it is given, so its + * value is hidden but its length is not. + * + * Returns 0 with the answer in outx and outy, 1 if the answer is the point at + * infinity, and -1 for arguments it cannot work with or memory it could not + * have. + */ +int crypton_f2m_mul(uint8_t *outx, uint8_t *outy, + const uint8_t *px, const uint8_t *py, + const uint8_t *k, uint32_t klen, + const uint8_t *b, uint32_t flen, + const uint8_t *fx, uint32_t fxlen); + +#endif diff --git a/cbits/crypton_md4.c b/cbits/crypton_md4.c --- a/cbits/crypton_md4.c +++ b/cbits/crypton_md4.c @@ -48,16 +48,17 @@ #define K3 0x6ED9EBA1 #define R(a,b,c,d,f,k,s,i) (a = rol32(a + f(b,c,d) + w[i] + k, s)) -static void md4_do_chunk(struct md4_ctx *ctx, uint32_t *buf) +/* The words are read out of the block rather than the block being pointed at + * as though it were an array of them; see crypton_md5.c. */ +static void md4_do_chunk(struct md4_ctx *ctx, const uint8_t *buf) { uint32_t a, b, c, d; -#ifdef ARCH_IS_BIG_ENDIAN uint32_t w[16]; - cpu_to_le32_array(w, (uint32_t *) buf, 16); -#else - uint32_t *w = buf; -#endif + int wi; + for (wi = 0; wi < 16; wi++) + w[wi] = load_le32(buf + 4 * wi); + a = ctx->h[0]; b = ctx->h[1]; c = ctx->h[2]; d = ctx->h[3]; R(a, b, c, d, f1, K1, 3, 0); @@ -125,24 +126,15 @@ if (index && len >= to_fill) { memcpy(ctx->buf + index, data, to_fill); - md4_do_chunk(ctx, (uint32_t *) ctx->buf); + md4_do_chunk(ctx, ctx->buf); len -= to_fill; data += to_fill; index = 0; } - if (need_alignment(data, 4)) { - uint32_t tramp[16]; - ASSERT_ALIGNMENT(tramp, 4); - for (; len >= 64; len -= 64, data += 64) { - memcpy(tramp, data, 64); - md4_do_chunk(ctx, tramp); - } - } else { - /* process as much 64-block as possible */ - for (; len >= 64; len -= 64, data += 64) - md4_do_chunk(ctx, (uint32_t *) data); - } + /* No trampoline: load_le32 does not ask for a boundary. */ + for (; len >= 64; len -= 64, data += 64) + md4_do_chunk(ctx, data); /* append data into buf */ if (len) diff --git a/cbits/crypton_md5.c b/cbits/crypton_md5.c --- a/cbits/crypton_md5.c +++ b/cbits/crypton_md5.c @@ -45,15 +45,22 @@ #define f4(x, y, z) (y ^ (x | ~z)) #define R(f, a, b, c, d, i, k, s) a += f(b, c, d) + w[i] + k; a = rol32(a, s); a += b -static void md5_do_chunk(struct md5_ctx *ctx, uint32_t *buf) +/* The sixteen words are read out of the block rather than the block being + * pointed at as though it were an array of them. A caller's pointer cast to + * uint32_t * is a pointer the standard says may not exist unless the address + * is aligned for it, and reading through it is undefined whether or not the + * machine minds; UndefinedBehaviorSanitizer counted sixty-four of these. + * load_le32 is a memcpy, which every compiler here turns into the one load + * the cast used to be, and it takes the endianness with it -- so the two + * arms this replaces are one. */ +static void md5_do_chunk(struct md5_ctx *ctx, const uint8_t *buf) { uint32_t a, b, c, d; -#ifdef ARCH_IS_BIG_ENDIAN uint32_t w[16]; - cpu_to_le32_array(w, buf, 16); -#else - uint32_t *w = buf; -#endif + int wi; + + for (wi = 0; wi < 16; wi++) + w[wi] = load_le32(buf + 4 * wi); a = ctx->h[0]; b = ctx->h[1]; c = ctx->h[2]; d = ctx->h[3]; R(f1, a, b, c, d, 0, 0xd76aa478, 7); @@ -138,24 +145,16 @@ if (index && len >= to_fill) { memcpy(ctx->buf + index, data, to_fill); - md5_do_chunk(ctx, (uint32_t *) ctx->buf); + md5_do_chunk(ctx, ctx->buf); len -= to_fill; data += to_fill; index = 0; } - if (need_alignment(data, 4)) { - uint32_t tramp[16]; - ASSERT_ALIGNMENT(tramp, 4); - for (; len >= 64; len -= 64, data += 64) { - memcpy(tramp, data, 64); - md5_do_chunk(ctx, tramp); - } - } else { - /* process as much 64-block as possible */ - for (; len >= 64; len -= 64, data += 64) - md5_do_chunk(ctx, (uint32_t *) data); - } + /* No trampoline for a block that is not on a four-byte boundary: the + * words are read with load_le32 now, which does not ask. */ + for (; len >= 64; len -= 64, data += 64) + md5_do_chunk(ctx, data); /* append data into buf */ if (len) diff --git a/cbits/crypton_memxor.c b/cbits/crypton_memxor.c new file mode 100644 --- /dev/null +++ b/cbits/crypton_memxor.c @@ -0,0 +1,29 @@ +/* + * dst = a xor b. + * + * Data.ByteArray's xor walks a byte at a time through an IO applicative, and + * that allocates: fifty bytes of heap for every byte exclusive-ored, which in + * counter mode cost more than the cipher did. This is the same operation in + * one pass of words. + */ + +#include +#include + +#include "crypton_memxor.h" + +void crypton_memxor(uint8_t *dst, const uint8_t *a, const uint8_t *b, uint32_t len) +{ + uint32_t i = 0; + + for (; i + 8 <= len; i += 8) { + uint64_t x, y; + + memcpy(&x, a + i, 8); + memcpy(&y, b + i, 8); + x ^= y; + memcpy(dst + i, &x, 8); + } + for (; i < len; i++) + dst[i] = a[i] ^ b[i]; +} diff --git a/cbits/crypton_memxor.h b/cbits/crypton_memxor.h new file mode 100644 --- /dev/null +++ b/cbits/crypton_memxor.h @@ -0,0 +1,8 @@ +#ifndef CRYPTON_MEMXOR_H +#define CRYPTON_MEMXOR_H + +#include + +void crypton_memxor(uint8_t *dst, const uint8_t *a, const uint8_t *b, uint32_t len); + +#endif diff --git a/cbits/crypton_modinv.c b/cbits/crypton_modinv.c new file mode 100644 --- /dev/null +++ b/cbits/crypton_modinv.c @@ -0,0 +1,74 @@ +/* + * Inversion modulo an odd number through s2n-bignum, whose routine takes a + * fixed number of division steps rather than an exponentiation: twenty to + * thirty times less work than Fermat's little theorem at the sizes here. + * Measured on an Apple M4, inverting modulo a curve order: + * + * Fermat this + * P-256 6.02 us 0.80 + * P-384 31.3 1.20 + * P-521 63.2 2.05 + * + * It uses no instruction beyond the base architecture on either x86-64 or + * AArch64, so unlike the rest of the vendored assembly there is nothing to + * ask the processor first. + */ +#include + +#include "crypton_modinv.h" + +#ifdef CRYPTON_S2N_BIGNUM + +extern void bignum_modinv(uint64_t k, uint64_t *z, const uint64_t *a, + const uint64_t *b, uint64_t *t); + +/* 4096 bits and no more, which covers every modulus that reaches here -- the + * order of a curve, or a prime factor of an RSA modulus -- and keeps the + * working space on the stack. Anything larger is handed back. */ +#define MODINV_MAXWORDS 64 + +int crypton_modinv_sec(uint8_t *z, const uint8_t *a, const uint8_t *m, + uint32_t len) +{ + uint64_t aw[MODINV_MAXWORDS], mw[MODINV_MAXWORDS]; + uint64_t zw[MODINV_MAXWORDS], t[3 * MODINV_MAXWORDS]; + uint32_t k = (len + 7) / 8; + uint32_t i; + + /* An even modulus is the one case it answers without saying it + * cannot: it returns a number that is not an inverse rather than + * failing, so keep it away from here. Every caller's modulus is odd. */ + if (len == 0 || k > MODINV_MAXWORDS || (m[len - 1] & 1) == 0) + return 1; + + for (i = 0; i < k; i++) { + aw[i] = 0; + mw[i] = 0; + } + for (i = 0; i < len; i++) { + uint32_t pos = len - 1 - i; + + aw[pos / 8] |= (uint64_t)a[i] << (8 * (pos % 8)); + mw[pos / 8] |= (uint64_t)m[i] << (8 * (pos % 8)); + } + + bignum_modinv(k, zw, aw, mw, t); + + for (i = 0; i < len; i++) + z[len - 1 - i] = (uint8_t)(zw[i / 8] >> (8 * (i % 8))); + return 0; +} + +#else + +int crypton_modinv_sec(uint8_t *z, const uint8_t *a, const uint8_t *m, + uint32_t len) +{ + (void)z; + (void)a; + (void)m; + (void)len; + return 1; +} + +#endif diff --git a/cbits/crypton_modinv.h b/cbits/crypton_modinv.h new file mode 100644 --- /dev/null +++ b/cbits/crypton_modinv.h @@ -0,0 +1,22 @@ +#ifndef CRYPTON_MODINV_H +#define CRYPTON_MODINV_H + +#include + +/* z = a^-1 mod m, all three big-endian byte strings of len bytes. + * + * Returns 0 with the answer in z, and 1 without touching z when it will not + * do this one: the assembly it needs is not built, the modulus is even, or + * the numbers are larger than it keeps room for. A 1 is not an error, it is + * "ask something else". + * + * The answer is not checked here. When a has no inverse the routine + * underneath returns something that is not one rather than saying so, so the + * caller has to multiply out and look -- which is what Crypto.Number. + * ModArithmetic.inverseSafe already did for the exponentiation this + * replaces. + */ +int crypton_modinv_sec(uint8_t *z, const uint8_t *a, const uint8_t *m, + uint32_t len); + +#endif diff --git a/cbits/crypton_pbkdf2.c b/cbits/crypton_pbkdf2.c --- a/cbits/crypton_pbkdf2.c +++ b/cbits/crypton_pbkdf2.c @@ -46,6 +46,7 @@ /* Internal function/type names for hash-specific things. */ #define HMAC_CTX(_name) HMAC_ ## _name ## _ctx +#define DIGEST_FITS(_name) pbkdf2_ ## _name ## _digest_fits_in_a_block #define HMAC_INIT(_name) HMAC_ ## _name ## _init #define HMAC_UPDATE(_name) HMAC_ ## _name ## _update #define HMAC_FINAL(_name) HMAC_ ## _name ## _final @@ -79,6 +80,16 @@ */ #define DECL_PBKDF2(_name, _blocksz, _hashsz, _ctx, \ _init, _update, _xform, _final, _xcpy, _xtract, _xxor) \ + /* HMAC_INIT below shortens a key longer than the block by hashing it, \ + * which writes _hashsz bytes into a buffer of _blocksz. An instantiation \ + * whose digest is larger than its block would overflow that buffer, and \ + * would do it before any check inside the function could say so -- which \ + * is where the check used to be. Refuse such an instantiation here \ + * instead, in front of the person writing it. The three below are \ + * SHA-1, SHA-256 and SHA-512, whose digests are 20, 32 and 64 bytes \ + * against blocks of 64, 64 and 128. */ \ + typedef char DIGEST_FITS(_name)[(_hashsz) <= (_blocksz) ? 1 : -1]; \ + \ typedef struct { \ _ctx inner; \ _ctx outer; \ @@ -101,9 +112,6 @@ nkey = _hashsz; \ } \ \ - /* Standard doesn't cover case where blocksz < hashsz. */ \ - assert(nkey <= _blocksz); \ - \ /* Right zero-pad short keys. */ \ if (k != key) \ memcpy(k, key, nkey); \ @@ -192,7 +200,16 @@ uint8_t *out, size_t nout) \ { \ assert(iterations); \ - assert(out && nout); \ + assert(out); \ + \ + /* Zero bytes of derived key is zero bytes of work. RFC 8018 asks for a \ + * positive dkLen and the loop below would write a block regardless, so \ + * this used to be `assert(out && nout)` -- which aborts the process, in \ + * a library built without NDEBUG, on a length the caller chose. \ + * Crypto.KDF.PBKDF2's own tryGenerate returns an empty result for this, \ + * so return and let the two agree. */ \ + if (nout == 0) \ + return; \ \ /* Starting point for inner loop. */ \ HMAC_CTX(_name) ctx; \ diff --git a/cbits/crypton_poly1305.c b/cbits/crypton_poly1305.c --- a/cbits/crypton_poly1305.c +++ b/cbits/crypton_poly1305.c @@ -39,8 +39,52 @@ #include "crypton_bitfn.h" #include "crypton_align.h" + +/* + * Poly1305 from CRYPTOGAMS, in cbits/asm/poly1305-armv8-*.S and + * cbits/asm/poly1305-x86_64-*.S, which is the whole of the arithmetic + * rather than a bulk loop bolted to the side: it keeps its own accumulator + * -- in base 2^64 while the message is short and base 2^26 once the vector + * loop has started, switching between the two itself -- and its own powers + * of r, so what is left here is the buffering of partial blocks. + * + * 'padbit' is the high bit above each block, which is set for every block + * of the message and clear for the padded last one. + */ +#if (defined(WITH_ARMV8_POLY1305_ASM) && !defined(__AARCH64EB__)) \ + || defined(WITH_X86_POLY1305_ASM) +#define POLY1305_ASM 1 +#include "crypton_cpu.h" + +typedef void (*poly1305_blocks_f)(void *ctx, const uint8_t *inp, size_t len, + uint32_t padbit); +typedef void (*poly1305_emit_f)(void *ctx, uint8_t mac[16], + const uint32_t nonce[4]); + +int crypton_poly1305_asm_init(void *ctx, const uint8_t key[16], void *func[2]); + +/* + * Initialisation hands back the pair of functions its own dispatch would + * use, the vector entry points themselves being local to the module. They + * are the same for every context, so they are kept here rather than in each + * one; two threads racing to fill them write the same values. + */ +static poly1305_blocks_f asm_blocks; +static poly1305_emit_f asm_emit; +#endif + + +#ifdef POLY1305_ASM + static void poly1305_do_chunk(poly1305_ctx *ctx, uint8_t *data, int blocks, int final) { + asm_blocks(ctx->st.opaque, data, (size_t) blocks * 16, final ? 0 : 1); +} + +#else + +static void poly1305_do_chunk(poly1305_ctx *ctx, uint8_t *data, int blocks, int final) +{ /* following is a cleanup copy of code available poly1305-donna */ const uint32_t hibit = (final) ? 0 : (1 << 24); /* 1 << 128 */ uint32_t r0,r1,r2,r3,r4; @@ -49,9 +93,10 @@ uint64_t d0,d1,d2,d3,d4; uint32_t c; + /* load r[i], h[i] */ - h0 = ctx->h[0]; h1 = ctx->h[1]; h2 = ctx->h[2]; h3 = ctx->h[3]; h4 = ctx->h[4]; - r0 = ctx->r[0]; r1 = ctx->r[1]; r2 = ctx->r[2]; r3 = ctx->r[3]; r4 = ctx->r[4]; + h0 = ctx->st.limb.h[0]; h1 = ctx->st.limb.h[1]; h2 = ctx->st.limb.h[2]; h3 = ctx->st.limb.h[3]; h4 = ctx->st.limb.h[4]; + r0 = ctx->st.limb.r[0]; r1 = ctx->st.limb.r[1]; r2 = ctx->st.limb.r[2]; r3 = ctx->st.limb.r[3]; r4 = ctx->st.limb.r[4]; /* s[i] = r[i] * 5 */ s1 = r1 * 5; s2 = r2 * 5; s3 = r3 * 5; s4 = r4 * 5; @@ -81,21 +126,37 @@ } /* store h[i] */ - ctx->h[0] = h0; ctx->h[1] = h1; ctx->h[2] = h2; ctx->h[3] = h3; ctx->h[4] = h4; + ctx->st.limb.h[0] = h0; ctx->st.limb.h[1] = h1; ctx->st.limb.h[2] = h2; ctx->st.limb.h[3] = h3; ctx->st.limb.h[4] = h4; } +#endif + void crypton_poly1305_init(poly1305_ctx *ctx, poly1305_key *key) { uint8_t *k = (uint8_t *) key; memset(ctx, 0, sizeof(poly1305_ctx)); - ctx->r[0] = (load_le32(&k[ 0]) ) & 0x3ffffff; - ctx->r[1] = (load_le32(&k[ 3]) >> 2) & 0x3ffff03; - ctx->r[2] = (load_le32(&k[ 6]) >> 4) & 0x3ffc0ff; - ctx->r[3] = (load_le32(&k[ 9]) >> 6) & 0x3f03fff; - ctx->r[4] = (load_le32(&k[12]) >> 8) & 0x00fffff; +#ifdef POLY1305_ASM + { + void *func[2]; +#ifdef CRYPTON_X86_ASM + /* what the module dispatches on, which it reads directly */ + crypton_x86_ia32cap_resolve(); +#endif + crypton_poly1305_asm_init(ctx->st.opaque, k, func); + asm_blocks = (poly1305_blocks_f) func[0]; + asm_emit = (poly1305_emit_f) func[1]; + } +#else + ctx->st.limb.r[0] = (load_le32(&k[ 0]) ) & 0x3ffffff; + ctx->st.limb.r[1] = (load_le32(&k[ 3]) >> 2) & 0x3ffff03; + ctx->st.limb.r[2] = (load_le32(&k[ 6]) >> 4) & 0x3ffc0ff; + ctx->st.limb.r[3] = (load_le32(&k[ 9]) >> 6) & 0x3f03fff; + ctx->st.limb.r[4] = (load_le32(&k[12]) >> 8) & 0x00fffff; +#endif + ctx->pad[0] = load_le32(&k[16]); ctx->pad[1] = load_le32(&k[20]); ctx->pad[2] = load_le32(&k[24]); @@ -134,11 +195,6 @@ void crypton_poly1305_finalize(poly1305_mac mac8, poly1305_ctx *ctx) { - uint32_t h0,h1,h2,h3,h4,c; - uint32_t g0,g1,g2,g3,g4; - uint64_t f; - uint32_t mask; - uint32_t *mac = (uint32_t *) mac8; int i; if (ctx->index) { @@ -149,10 +205,22 @@ poly1305_do_chunk(ctx, ctx->buf, 1, 1); } +#ifdef POLY1305_ASM + /* the carry, the reduction and the addition of the second half of + * the key are the assembly's, since the accumulator is its own */ + asm_emit(ctx->st.opaque, mac8, ctx->pad); +#else + { + uint32_t h0,h1,h2,h3,h4,c; + uint32_t g0,g1,g2,g3,g4; + uint64_t f; + uint32_t mask; + uint32_t *mac = (uint32_t *) mac8; + /* following is a cleanup copy of code available poly1305-donna */ /* fully carry h */ - h0 = ctx->h[0]; h1 = ctx->h[1]; h2 = ctx->h[2]; h3 = ctx->h[3]; h4 = ctx->h[4]; + h0 = ctx->st.limb.h[0]; h1 = ctx->st.limb.h[1]; h2 = ctx->st.limb.h[2]; h3 = ctx->st.limb.h[3]; h4 = ctx->st.limb.h[4]; c = h1 >> 26; h1 = h1 & 0x3ffffff; h2 += c; c = h2 >> 26; h2 = h2 & 0x3ffffff; @@ -200,4 +268,6 @@ f = (uint64_t)h3 + ctx->pad[3] + (f >> 32); mac[3] = cpu_to_le32((uint32_t) f); + } +#endif } diff --git a/cbits/crypton_poly1305.h b/cbits/crypton_poly1305.h --- a/cbits/crypton_poly1305.h +++ b/cbits/crypton_poly1305.h @@ -30,11 +30,24 @@ #ifndef CRYPTON_POLY1305_H # define CRYPTON_POLY1305_H -/* 8*8+1*16+1*4 = 84 */ +/* + * Either the 26-bit limbs the C implementation works in, or the state the + * assembly keeps: its accumulator, in whichever base it is using at the + * time, the clamped key, and the powers of that laid out for the four-way + * vector loop, which together come to exactly 192 bytes -- OpenSSL allots + * the same for the same thing. + * + * size = 192+16+4+16 = 228, 232 with the alignment the union asks for + */ typedef struct { - uint32_t r[5]; - uint32_t h[5]; + union { + struct { + uint32_t r[5]; + uint32_t h[5]; + } limb; + uint64_t opaque[24]; + } st; uint32_t pad[4]; uint32_t index; uint8_t buf[16]; /* previous partial block */ diff --git a/cbits/crypton_powm.c b/cbits/crypton_powm.c new file mode 100644 --- /dev/null +++ b/cbits/crypton_powm.c @@ -0,0 +1,311 @@ +/* + * Modular exponentiation that does the same work whatever the exponent is. + * + * The exponent is walked four bits at a time: four squarings and one + * multiplication by a small power of the base, taken from a table of sixteen. + * The table is read by touching all sixteen entries and keeping one of them + * with a mask, so the address stream does not follow the exponent, and the + * multiplication itself is Montgomery's, whose only conditional step -- the + * subtraction at the end -- is also done with a mask. + * + * So every window costs the same four squarings, the same multiplication and + * the same sixteen reads, and nothing here branches on, or indexes memory + * with, anything derived from the exponent. + * + * What is still visible is how many bytes the caller passed: the loop runs + * over every bit of them, so the exponent's value is hidden but its length is + * not. GMP's mpz_powm_sec, which this replaces on the GHCs that no longer + * offer it, hides the same amount. + */ +#include +#include +#include +#include + +/* + * At RSA sizes on x86-64, the Montgomery multiplication below is the whole + * cost, and s2n-bignum's is twice as fast because the C cannot form the two + * carry chains ADCX and ADOX give. The window, the table and its masked + * scan are unchanged: only the multiply and the square are swapped, and + * only for the sizes s2n-bignum has a Karatsuba multiplication for. + * + * Not on AArch64, where the C measures 5% faster than the assembly. + * See cbits/s2n/README.md. + */ +#if defined(CRYPTON_S2N_BIGNUM) && defined(__x86_64__) +#define CRYPTON_POWM_S2N 1 +#include + +extern void bignum_kmul_16_32(uint64_t *z, const uint64_t *x, + const uint64_t *y, uint64_t *t); +extern void bignum_ksqr_16_32(uint64_t *z, const uint64_t *x, uint64_t *t); +extern void bignum_kmul_32_64(uint64_t *z, const uint64_t *x, + const uint64_t *y, uint64_t *t); +extern void bignum_ksqr_32_64(uint64_t *z, const uint64_t *x, uint64_t *t); +extern uint64_t bignum_emontredc_8n(uint64_t k, uint64_t *z, + const uint64_t *m, uint64_t w); + +/* 16 limbs is 1024 bits and 32 is 2048: the halves a CRT exponentiation + * works in for RSA-2048 and RSA-4096, and the whole thing without CRT. The + * reduction wants ADX, so the answer is a run-time one. */ +static int powm_s2n_usable(uint32_t n) +{ + return (n == 16 || n == 32) + && (crypton_x86_simd_features() & CRYPTON_X86_ADX) != 0; +} + +/* The scratch the widest of them asks for, in multiples of n: kmul_32_64 + * wants 96 limbs for n = 32. */ +#define POWM_S2N_SCRATCH 3 + +/* bignum_emontredc_8n leaves the result in the top half of z with one more + * bit as its return value, and what is there is under twice the modulus -- + * the same place mont_reduce ends up, and finished the same way. */ +static void powm_s2n_finish(limb_t *r, limb_t *z, const limb_t *m, + limb_t carry, uint32_t n) +{ + limb_t borrow = sub_n(r, z + n, m, n); + limb_t take = carry | (borrow ^ 1); + + select_n(r, r, z + n, take & 1, n); +} + +static void powm_s2n_mul(limb_t *r, const limb_t *a, const limb_t *b, + const limb_t *m, limb_t n0, uint32_t n, limb_t *z, + limb_t *scratch) +{ + if (n == 16) + bignum_kmul_16_32(z, a, b, scratch); + else + bignum_kmul_32_64(z, a, b, scratch); + powm_s2n_finish(r, z, m, bignum_emontredc_8n(n, z, m, n0), n); +} + +static void powm_s2n_sqr(limb_t *r, const limb_t *a, const limb_t *m, + limb_t n0, uint32_t n, limb_t *z, limb_t *scratch) +{ + if (n == 16) + bignum_ksqr_16_32(z, a, scratch); + else + bignum_ksqr_32_64(z, a, scratch); + powm_s2n_finish(r, z, m, bignum_emontredc_8n(n, z, m, n0), n); +} +#else +#define POWM_S2N_SCRATCH 0 +#endif + +/* One or the other, decided once per call */ +static void powm_mul(limb_t *r, const limb_t *a, const limb_t *b, + const limb_t *m, limb_t n0, uint32_t n, limb_t *t, + limb_t *scratch, int s2n) +{ +#ifdef CRYPTON_POWM_S2N + if (s2n) { + powm_s2n_mul(r, a, b, m, n0, n, t, scratch); + return; + } +#else + (void)scratch; + (void)s2n; +#endif + mont_mul(r, a, b, m, n0, n, t); +} + +static void powm_sqr(limb_t *r, const limb_t *a, const limb_t *m, limb_t n0, + uint32_t n, limb_t *t, limb_t *scratch, int s2n) +{ +#ifdef CRYPTON_POWM_S2N + if (s2n) { + powm_s2n_sqr(r, a, m, n0, n, t, scratch); + return; + } +#else + (void)scratch; + (void)s2n; +#endif + mont_sqr(r, a, m, n0, n, t); +} + +/* Four bits of exponent per window, so a table of sixteen and no leftover + * bits: a byte holds exactly two windows. + * + * Five was written and measured, and is not here. A wider window saves + * multiplications -- 205 of them against 256 at 1024 bits, with the same + * 1024 squarings -- and pays for it in the masked scan of a table twice as + * long, and which way that comes out depends on the machine and on which + * multiplication is running: 3.5% better on an Apple M4, about 1% worse on + * an older x86-64, and 7% worse anywhere s2n-bignum's multiplication is + * used, since that makes the scan the expensive half. Six measured level + * with five on the M4 and seven worse. What would make a wider window pay + * everywhere is a cheaper scan, not a wider window. */ +#define WINDOW_BITS 4 +#define TABLE_SIZE (1 << WINDOW_BITS) + +/* The masked scan of the table: every entry is read and a mask keeps the one + * wanted, so that the address stream does not follow the exponent. At + * RSA-2048's CRT size that is two kilobytes read per window, and the window + * loop runs 256 times per exponentiation, which is why it is worth a vector + * register: removing the scan altogether measures 11% of an exponentiation + * where s2n-bignum's multiplication runs, and the AVX2 form below gets + * essentially all of it. */ +static void scan_table(limb_t *sel, const limb_t *table, uint32_t n, limb_t w) +{ + uint32_t k, l; + + memset(sel, 0, n * sizeof(limb_t)); + for (k = 0; k < TABLE_SIZE; k++) { + limb_t mask = eq_mask(k, w); + + for (l = 0; l < n; l++) + sel[l] |= table[k * n + l] & mask; + } +} + +#if defined(__x86_64__) && defined(WITH_TARGET_ATTRIBUTES) && LIMB_BITS == 64 +#define CRYPTON_POWM_SCAN_AVX2 1 +#include +#include + +/* The same scan four limbs at a time. The sixteen masks are worked out + * once; after that each register of the answer is one pass over the table's + * column, reading every entry exactly as the scalar form does. */ +__attribute__((target("avx2"))) +static void scan_table_avx2(limb_t *sel, const limb_t *table, uint32_t n, + limb_t w) +{ + __m256i masks[TABLE_SIZE]; + uint32_t k, l; + + for (k = 0; k < TABLE_SIZE; k++) + masks[k] = _mm256_cmpeq_epi64( + _mm256_set1_epi64x((long long) k), + _mm256_set1_epi64x((long long) w)); + + for (l = 0; l + 4 <= n; l += 4) { + __m256i acc = _mm256_setzero_si256(); + + for (k = 0; k < TABLE_SIZE; k++) { + __m256i v = _mm256_loadu_si256( + (const __m256i *) (table + k * n + l)); + + acc = _mm256_or_si256(acc, + _mm256_and_si256(v, masks[k])); + } + _mm256_storeu_si256((__m256i *) (sel + l), acc); + } + + /* a modulus whose limbs do not come in fours ends here */ + for (; l < n; l++) { + limb_t v = 0; + + for (k = 0; k < TABLE_SIZE; k++) + v |= table[k * n + l] & eq_mask(k, w); + sel[l] = v; + } +} +#endif + +int crypton_powm_sec(uint8_t *out, + const uint8_t *base, uint32_t baselen, + const uint8_t *exp, uint32_t explen, + const uint8_t *mod, uint32_t modlen) +{ + uint32_t n = (modlen + LIMB_BYTES - 1) / LIMB_BYTES; + uint32_t words = (TABLE_SIZE + 7 + POWM_S2N_SCRATCH) * n; + limb_t *space, *m, *r2, *acc, *sel, *prod, *table, *t, *scratch, n0; + uint32_t i, j, k; + int s2n = 0; +#ifdef CRYPTON_POWM_SCAN_AVX2 + int avx2 = (crypton_x86_simd_features() & CRYPTON_X86_AVX2) != 0; +#endif + + if (modlen == 0 || n == 0 || (mod[modlen - 1] & 1) == 0) + return 1; + + /* the table, five more n-limb numbers and one of 2n */ + space = calloc(words, sizeof(limb_t)); + if (space == NULL) + return 1; + m = space; + r2 = m + n; + acc = r2 + n; + sel = acc + n; + prod = sel + n; + t = prod + n; + table = t + 2 * n; + scratch = table + TABLE_SIZE * n; + +#ifdef CRYPTON_POWM_S2N + s2n = powm_s2n_usable(n); +#endif + + if (from_be(m, n, mod, modlen) != 0) + goto fail; + n0 = mont_n0(m[0]); + mont_r2(r2, m, n0, n, t); + + /* table[k] = base^k in Montgomery form, and table[0] = 1 there */ + memset(table, 0, n * sizeof(limb_t)); + table[0] = 1; + powm_mul(acc, table, r2, m, n0, n, t, scratch, s2n); + memcpy(table, acc, n * sizeof(limb_t)); + + if (from_be(sel, n, base, baselen) != 0) + goto fail; + powm_mul(table + n, sel, r2, m, n0, n, t, scratch, s2n); + for (k = 2; k < TABLE_SIZE; k++) + powm_mul(table + k * n, table + (k - 1) * n, table + n, m, n0, n, + t, scratch, s2n); + + memcpy(acc, table, n * sizeof(limb_t)); + + for (i = explen * 2; i > 0; i--) { + uint32_t nib = i - 1; + limb_t w = (exp[explen - 1 - nib / 2] >> (4 * (nib % 2))) & 0xf; + + /* squaring into the other buffer and swapping the two saves a + * copy of the modulus' width every time; which of the three + * buffers a pointer names is nobody's secret */ + for (j = 0; j < WINDOW_BITS; j++) { + limb_t *swap; + + powm_sqr(sel, acc, m, n0, n, t, scratch, s2n); + swap = acc; + acc = sel; + sel = swap; + } + +#ifdef CRYPTON_POWM_SCAN_AVX2 + if (avx2) + scan_table_avx2(sel, table, n, w); + else +#endif + scan_table(sel, table, n, w); + powm_mul(prod, acc, sel, m, n0, n, t, scratch, s2n); + { + limb_t *swap = acc; + + acc = prod; + prod = swap; + } + } + + /* out of Montgomery form */ + memset(sel, 0, n * sizeof(limb_t)); + sel[0] = 1; + powm_mul(prod, acc, sel, m, n0, n, t, scratch, s2n); + to_be(out, modlen, prod, n); + + /* nothing here is the caller's secret, but the exponent's bits passed + * through the accumulators. crypton_bzero rather than memset, since + * this memory is freed on the next line and a store to memory about to + * die is one an optimizer may drop. */ + crypton_bzero(space, words * sizeof(limb_t)); + free(space); + return 0; + +fail: + crypton_bzero(space, words * sizeof(limb_t)); + free(space); + return 1; +} diff --git a/cbits/crypton_powm.h b/cbits/crypton_powm.h new file mode 100644 --- /dev/null +++ b/cbits/crypton_powm.h @@ -0,0 +1,23 @@ +#ifndef CRYPTON_POWM_H +#define CRYPTON_POWM_H + +#include + +/* Modular exponentiation whose work does not depend on the exponent's bits. + * + * All three numbers are big-endian byte strings. The modulus has to be odd + * and at least one byte, and the base has to be smaller than it: the caller + * reduces, which it can do in whatever way it likes, because in this library + * the base is always a public value. + * + * The result is written to out, which holds modlen bytes. + * + * Returns 0 on success, and nonzero if the modulus is even or memory ran out, + * in which case out is untouched. + */ +int crypton_powm_sec(uint8_t *out, + const uint8_t *base, uint32_t baselen, + const uint8_t *exp, uint32_t explen, + const uint8_t *mod, uint32_t modlen); + +#endif diff --git a/cbits/crypton_ripemd.c b/cbits/crypton_ripemd.c --- a/cbits/crypton_ripemd.c +++ b/cbits/crypton_ripemd.c @@ -57,16 +57,17 @@ #define R(a, b, c, d, e, f, k, i, s) \ a += f(b, c, d) + w[i] + k; a = rol32(a, s) + e; c = rol32(c, 10) -static void ripemd160_do_chunk(struct ripemd160_ctx *ctx, uint32_t *buf) +/* The words are read out of the block rather than the block being pointed at + * as though it were an array of them; see crypton_md5.c. */ +static void ripemd160_do_chunk(struct ripemd160_ctx *ctx, const uint8_t *buf) { uint32_t a1, b1, c1, d1, e1, a2, b2, c2, d2, e2; -#ifdef ARCH_IS_BIG_ENDIAN uint32_t w[16]; - cpu_to_le32_array(w, buf, 16); -#else - uint32_t *w = buf; -#endif + int wi; + for (wi = 0; wi < 16; wi++) + w[wi] = load_le32(buf + 4 * wi); + a1 = ctx->h[0]; b1 = ctx->h[1]; c1 = ctx->h[2]; d1 = ctx->h[3]; e1 = ctx->h[4]; a2 = ctx->h[0]; b2 = ctx->h[1]; c2 = ctx->h[2]; d2 = ctx->h[3]; e2 = ctx->h[4]; @@ -260,24 +261,15 @@ ctx->sz += len; if (index && len >= to_fill) { memcpy(ctx->buf + index, data, to_fill); - ripemd160_do_chunk(ctx, (uint32_t *) ctx->buf); + ripemd160_do_chunk(ctx, ctx->buf); len -= to_fill; data += to_fill; index = 0; } - if (need_alignment(data, 4)) { - uint32_t tramp[16]; - ASSERT_ALIGNMENT(tramp, 4); - for (; len >= 64; len -= 64, data += 64) { - memcpy(tramp, data, 64); - ripemd160_do_chunk(ctx, tramp); - } - } else { - /* process as much 64-block as possible */ - for (; len >= 64; len -= 64, data += 64) - ripemd160_do_chunk(ctx, (uint32_t *) data); - } + /* No trampoline: load_le32 does not ask for a boundary. */ + for (; len >= 64; len -= 64, data += 64) + ripemd160_do_chunk(ctx, data); /* append data into buf */ if (len) diff --git a/cbits/crypton_salsa.c b/cbits/crypton_salsa.c --- a/cbits/crypton_salsa.c +++ b/cbits/crypton_salsa.c @@ -59,7 +59,7 @@ QR (x15,x12,x13,x14); \ } -static void salsa_core(int rounds, block *out, const crypton_salsa_state *in) +static void salsa_core(int rounds, crypton_salsa_block *out, const crypton_salsa_state *in) { uint32_t x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15; int i; @@ -94,7 +94,7 @@ out->d[15] = cpu_to_le32(x15); } -void crypton_salsa_core_xor(int rounds, block *out, block *in) +void crypton_salsa_core_xor(int rounds, crypton_salsa_block *out, crypton_salsa_block *in) { uint32_t x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15; int i; @@ -165,7 +165,7 @@ void crypton_salsa_combine(uint8_t *dst, crypton_salsa_context *ctx, const uint8_t *src, uint32_t bytes) { - block out; + crypton_salsa_block out; crypton_salsa_state *st; int i; @@ -225,7 +225,7 @@ void crypton_salsa_generate(uint8_t *dst, crypton_salsa_context *ctx, uint32_t bytes) { crypton_salsa_state *st; - block out; + crypton_salsa_block out; int i; if (!bytes) @@ -252,7 +252,7 @@ /* xor new 64-bytes chunks and store the left over if any */ for (; bytes >= 64; bytes -= 64, dst += 64) { /* generate new chunk and update state */ - salsa_core(ctx->nb_rounds, (block *) dst, st); + salsa_core(ctx->nb_rounds, (crypton_salsa_block *) dst, st); st->d[8] += 1; if (st->d[8] == 0) st->d[9] += 1; diff --git a/cbits/crypton_salsa.h b/cbits/crypton_salsa.h --- a/cbits/crypton_salsa.h +++ b/cbits/crypton_salsa.h @@ -34,9 +34,9 @@ uint64_t q[8]; uint32_t d[16]; uint8_t b[64]; -} block; +} crypton_salsa_block; -typedef block crypton_salsa_state; +typedef crypton_salsa_block crypton_salsa_state; typedef struct { crypton_salsa_state st; @@ -47,7 +47,7 @@ } crypton_salsa_context; /* for scrypt */ -void crypton_salsa_core_xor(int rounds, block *out, block *in); +void crypton_salsa_core_xor(int rounds, crypton_salsa_block *out, crypton_salsa_block *in); void crypton_salsa_init_core(crypton_salsa_state *st, uint32_t keylen, const uint8_t *key, uint32_t ivlen, const uint8_t *iv); void crypton_salsa_init(crypton_salsa_context *ctx, uint8_t nb_rounds, uint32_t keylen, const uint8_t *key, uint32_t ivlen, const uint8_t *iv); diff --git a/cbits/crypton_scrypt.c b/cbits/crypton_scrypt.c --- a/cbits/crypton_scrypt.c +++ b/cbits/crypton_scrypt.c @@ -37,10 +37,10 @@ array_copy32(X, &in[(2 * r - 1) * 16], 16); for (i = 0; i < 2 * r; i += 2) { - crypton_salsa_core_xor(8, (block *) X, (block *) &in[i*16]); + crypton_salsa_core_xor(8, (crypton_salsa_block *) X, (crypton_salsa_block *) &in[i*16]); array_copy32(&out[i * 8], X, 16); - crypton_salsa_core_xor(8, (block *) X, (block *) &in[i*16+16]); + crypton_salsa_core_xor(8, (crypton_salsa_block *) X, (crypton_salsa_block *) &in[i*16+16]); array_copy32(&out[i * 8 + r * 16], X, 16); } } diff --git a/cbits/crypton_sha1.c b/cbits/crypton_sha1.c --- a/cbits/crypton_sha1.c +++ b/cbits/crypton_sha1.c @@ -26,7 +26,54 @@ #include "crypton_sha1.h" #include "crypton_bitfn.h" #include "crypton_align.h" +/* + * AArch64 can do four rounds at a time with the SHA-1 instructions; see + * sha1_armv8.c. They are optional in ARMv8.0, so ask before using them. + * Two threads racing to answer here both write the same value. + */ +#ifdef WITH_ARMV8_SHA1 +extern void crypton_sha1_armv8_do_chunk(uint32_t state[5], const uint8_t buf[64]); +extern void crypton_sha1_armv8_do_chunks(uint32_t state[5], const uint8_t *data, + uint32_t blocks); +extern int crypton_sha1_armv8_available(void); +#ifdef WITH_ARMV8_SHA1_ASM +/* + * SHA-1 from CRYPTOGAMS, in cbits/asm/sha1-armv8-*.S. The instructions are + * the ones the intrinsics beside it use; what the module does with them is + * schedule the message schedule of the next four rounds against the rounds + * of this one, which a C function cannot be made to do. + * + * The entry point for processors that have the instructions is not + * exported, so the module's own dispatch is what picks it, and the answer + * to the question this file already asks goes into the word that dispatch + * reads. + */ +#define SHA1_ASM 1 +#include "crypton_cpu.h" +extern void crypton_sha1_asm_block_data_order(uint32_t state[5], + const void *data, size_t blocks); +#endif + +/* Resolved before there is a second thread; see the constructor in + * cbits/crypton_aes.c for why. The test below then only ever reads. */ +static int sha1_use_armv8 = -1; + +__attribute__((constructor)) +static void sha1_armv8_ctor(void) +{ + sha1_use_armv8 = crypton_sha1_armv8_available(); +#ifdef SHA1_ASM + if (sha1_use_armv8) + crypton_armcap_P |= CRYPTON_ARMCAP_SHA1; +#endif +} +#endif + +#ifdef WITH_X86_SHA_NI +#include "crypton_cpu.h" +#endif + void crypton_sha1_init(struct sha1_ctx *ctx) { memset(ctx, 0, sizeof(*ctx)); @@ -54,11 +101,13 @@ #define M(i) (w[i & 0x0f] = rol32(w[i & 0x0f] ^ w[(i - 14) & 0x0f] \ ^ w[(i - 8) & 0x0f] ^ w[(i - 3) & 0x0f], 1)) -static inline void sha1_do_chunk(struct sha1_ctx *ctx, uint32_t *buf) +/* The words are read out of the block rather than the block being pointed at + * as though it were an array of them; see crypton_md5.c. */ +static void sha1_do_chunk_generic(struct sha1_ctx *ctx, const uint8_t *buf) { uint32_t a, b, c, d, e; uint32_t w[16]; -#define CPY(i) w[i] = be32_to_cpu(buf[i]) +#define CPY(i) w[i] = load_be32(buf + 4 * (i)) CPY(0); CPY(1); CPY(2); CPY(3); CPY(4); CPY(5); CPY(6); CPY(7); CPY(8); CPY(9); CPY(10); CPY(11); CPY(12); CPY(13); CPY(14); CPY(15); #undef CPY @@ -156,6 +205,50 @@ ctx->h[4] += e; } +#ifdef WITH_X86_SHA_NI +/* + * x86 can do four rounds at a time with the SHA extensions; see sha1_x86.c. + * They arrived long after the x86-64 baseline, so ask before using them. + * Two threads racing to answer here both write the same value. + */ +extern void crypton_sha1_x86_do_chunk(uint32_t state[5], const uint8_t buf[64]); +extern void crypton_sha1_x86_do_chunks(uint32_t state[5], const uint8_t *data, + uint32_t blocks); + +static int sha1_use_x86 = -1; +#endif + +static inline void sha1_do_chunk(struct sha1_ctx *ctx, const uint8_t *buf) +{ +#ifdef WITH_ARMV8_SHA1 + if (sha1_use_armv8 < 0) { + sha1_use_armv8 = crypton_sha1_armv8_available(); +#ifdef SHA1_ASM + if (sha1_use_armv8) + crypton_armcap_P |= CRYPTON_ARMCAP_SHA1; +#endif + } + if (sha1_use_armv8) { +#ifdef SHA1_ASM + crypton_sha1_asm_block_data_order(ctx->h, buf, 1); +#else + crypton_sha1_armv8_do_chunk(ctx->h, buf); +#endif + return; + } +#endif +#ifdef WITH_X86_SHA_NI + if (sha1_use_x86 < 0) + sha1_use_x86 = + (crypton_x86_simd_features() & CRYPTON_X86_SHA_NI) != 0; + if (sha1_use_x86) { + crypton_sha1_x86_do_chunk(ctx->h, buf); + return; + } +#endif + sha1_do_chunk_generic(ctx, buf); +} + void crypton_sha1_update(struct sha1_ctx *ctx, const uint8_t *data, uint32_t len) { uint32_t index, to_fill; @@ -168,24 +261,54 @@ /* process partial buffer if there's enough data to make a block */ if (index && len >= to_fill) { memcpy(ctx->buf + index, data, to_fill); - sha1_do_chunk(ctx, (uint32_t *) ctx->buf); + sha1_do_chunk(ctx, ctx->buf); len -= to_fill; data += to_fill; index = 0; } - if (need_alignment(data, 4)) { - uint32_t tramp[16]; - ASSERT_ALIGNMENT(tramp, 4); - for (; len >= 64; len -= 64, data += 64) { - memcpy(tramp, data, 64); - sha1_do_chunk(ctx, tramp); - } - } else { - /* process as much 64-block as possible */ - for (; len >= 64; len -= 64, data += 64) - sha1_do_chunk(ctx, (uint32_t *) data); + /* + * Where there are instructions for this, the whole run of blocks + * goes over at once: the state then stays in registers from one + * block to the next, and the message is read as bytes, so neither + * the alignment nor the copy below is wanted. + */ +#ifdef WITH_ARMV8_SHA1 + if (sha1_use_armv8 < 0) { + sha1_use_armv8 = crypton_sha1_armv8_available(); +#ifdef SHA1_ASM + if (sha1_use_armv8) + crypton_armcap_P |= CRYPTON_ARMCAP_SHA1; +#endif } + if (sha1_use_armv8 && len >= 64) { + uint32_t blocks = len / 64; + +#ifdef SHA1_ASM + crypton_sha1_asm_block_data_order(ctx->h, data, blocks); +#else + crypton_sha1_armv8_do_chunks(ctx->h, data, blocks); +#endif + data += blocks * 64; + len -= blocks * 64; + } +#endif +#ifdef WITH_X86_SHA_NI + if (sha1_use_x86 < 0) + sha1_use_x86 = + (crypton_x86_simd_features() & CRYPTON_X86_SHA_NI) != 0; + if (sha1_use_x86 && len >= 64) { + uint32_t blocks = len / 64; + + crypton_sha1_x86_do_chunks(ctx->h, data, blocks); + data += blocks * 64; + len -= blocks * 64; + } +#endif + + /* No trampoline: load_be32 does not ask for a boundary. */ + for (; len >= 64; len -= 64, data += 64) + sha1_do_chunk(ctx, data); /* append data into buf */ if (len) diff --git a/cbits/crypton_sha256.c b/cbits/crypton_sha256.c --- a/cbits/crypton_sha256.c +++ b/cbits/crypton_sha256.c @@ -26,6 +26,9 @@ #include "crypton_sha256.h" #include "crypton_bitfn.h" #include "crypton_align.h" +#ifdef WITH_X86_SHA_NI +#include "crypton_cpu.h" +#endif void crypton_sha224_init(struct sha224_ctx *ctx) { @@ -75,13 +78,16 @@ #define s0(x) (ror32(x, 7) ^ ror32(x,18) ^ (x >> 3)) #define s1(x) (ror32(x,17) ^ ror32(x,19) ^ (x >> 10)) -static void sha256_do_chunk(struct sha256_ctx *ctx, uint32_t buf[]) +/* The sixteen words are read out of the block rather than the block being + * pointed at as though it were an array of them; see crypton_md5.c. */ +static void sha256_do_chunk_generic(struct sha256_ctx *ctx, const uint8_t *buf) { uint32_t a, b, c, d, e, f, g, h, t1, t2; int i; uint32_t w[64]; - cpu_to_be32_array(w, buf, 16); + for (i = 0; i < 16; i++) + w[i] = load_be32(buf + 4 * i); for (i = 16; i < 64; i++) w[i] = s1(w[i - 2]) + w[i - 7] + s0(w[i - 15]) + w[i - 16]; @@ -111,6 +117,86 @@ ctx->h[4] += e; ctx->h[5] += f; ctx->h[6] += g; ctx->h[7] += h; } +#ifdef WITH_ARMV8_SHA2 +/* + * AArch64 can do four rounds at a time with the SHA-2 instructions; see + * sha256_armv8.c. They are optional in ARMv8.0, so ask before using them. + * Two threads racing to answer here both write the same value. + */ +extern void crypton_sha256_armv8_do_chunk(uint32_t state[8], const uint8_t buf[64]); +extern int crypton_sha256_armv8_available(void); + +/* Resolved before there is a second thread; see the constructor in + * cbits/crypton_aes.c for why. The test below then only ever reads. */ +static int sha256_use_armv8 = -1; + +__attribute__((constructor)) +static void sha256_armv8_ctor(void) +{ + sha256_use_armv8 = crypton_sha256_armv8_available(); +} +#endif + +#if (defined(WITH_ARMV8_SHA256_ASM) && defined(WITH_ARMV8_SHA2)) \ + || defined(WITH_X86_SHA256_ASM) +/* + * SHA-256 from CRYPTOGAMS, in cbits/asm/sha256-armv8-*.S and + * cbits/asm/sha256-x86_64-*.S, which take any number of blocks at once and + * schedule the instructions across them -- which is where they are ahead + * of the intrinsics above, the instructions being the same ones. Each + * picks its own path from the word the processor was asked about, so the + * answer to the runtime check goes there rather than into a branch here. + */ +#define SHA256_ASM 1 +#include "crypton_cpu.h" +extern void crypton_sha256_asm_block_data_order(uint32_t state[8], + const void *data, size_t blocks); + +#ifdef WITH_ARMV8_SHA256_ASM +/* The assembly picks its path from crypton_armcap_P, so the answer to the + * runtime check has to reach that word rather than the flag above. It is + * set here, before there is a second thread, for the reason the constructor + * in cbits/crypton_aes.c gives. + * + * This ran from sha256_asm_ready below until 2.1.3, guarded by the flag + * still being unresolved -- which stopped happening when the constructor + * above was added, so the bit was never set and the assembly took its + * generic path. SHA-256 was 5.7 times slower on an Apple M4 for it. */ +__attribute__((constructor)) +static void sha256_armcap_ctor(void) +{ + if (crypton_sha256_armv8_available()) + crypton_armcap_P |= CRYPTON_ARMCAP_SHA256; +} +#endif + +static void sha256_asm_ready(void) +{ +#ifndef WITH_ARMV8_SHA256_ASM + crypton_x86_ia32cap_resolve(); +#endif +} +#endif + + +static void sha256_do_chunk(struct sha256_ctx *ctx, const uint8_t *buf) +{ +#ifdef SHA256_ASM + sha256_asm_ready(); + crypton_sha256_asm_block_data_order(ctx->h, buf, 1); + return; +#endif +#if defined(WITH_ARMV8_SHA2) && !defined(SHA256_ASM) + if (sha256_use_armv8 < 0) + sha256_use_armv8 = crypton_sha256_armv8_available(); + if (sha256_use_armv8) { + crypton_sha256_armv8_do_chunk(ctx->h, buf); + return; + } +#endif + sha256_do_chunk_generic(ctx, buf); +} + void crypton_sha224_update(struct sha224_ctx *ctx, const uint8_t *data, uint32_t len) { return crypton_sha256_update(ctx, data, len); @@ -129,24 +215,29 @@ /* process partial buffer if there's enough data to make a block */ if (index && len >= to_fill) { memcpy(ctx->buf + index, data, to_fill); - sha256_do_chunk(ctx, (uint32_t *) ctx->buf); + sha256_do_chunk(ctx, ctx->buf); len -= to_fill; data += to_fill; index = 0; } - if (need_alignment(data, 4)) { - uint32_t tramp[16]; - ASSERT_ALIGNMENT(tramp, 4); - for (; len >= 64; len -= 64, data += 64) { - memcpy(tramp, data, 64); - sha256_do_chunk(ctx, tramp); - } - } else { - /* process as much 64-block as possible */ - for (; len >= 64; len -= 64, data += 64) - sha256_do_chunk(ctx, (uint32_t *) data); +#ifdef SHA256_ASM + /* the assembly reads the message a byte at a time as far as the + * machine is concerned, so it wants no alignment and no copy, and + * it takes the whole run of blocks in one call */ + if (len >= 64) { + size_t blocks = len / 64; + + sha256_asm_ready(); + crypton_sha256_asm_block_data_order(ctx->h, data, blocks); + data += blocks * 64; + len -= (uint32_t) blocks * 64; } +#else + /* No trampoline: load_be32 does not ask for a boundary. */ + for (; len >= 64; len -= 64, data += 64) + sha256_do_chunk(ctx, data); +#endif /* append data into buf */ if (len) diff --git a/cbits/crypton_sha256.h b/cbits/crypton_sha256.h --- a/cbits/crypton_sha256.h +++ b/cbits/crypton_sha256.h @@ -51,6 +51,18 @@ void crypton_sha256_init(struct sha256_ctx *ctx); void crypton_sha256_update(struct sha256_ctx *ctx, const uint8_t *data, uint32_t len); +/* The pointers are all required to be non-null, which is said here so that + * the compiler knows it too. Both of these write their digest through a + * loop -- store_be32(out + 4 * i, ...) -- where sha1 and md5 write theirs at + * constant offsets, and that is the difference that makes gcc's + * -Wstringop-overflow reason about out being null: with + * -fsanitize=undefined, UndefinedBehaviorSanitizer inserts a null check + * before memcpy, because glibc declares memcpy nonnull, and the check puts a + * null path in front of the warning pass, which then reports writing into + * "a region of size 0" at "address zero". Saying the pointer is never null + * removes the path rather than the warning. It costs nothing: compiled as + * the package compiles it, the assembly is identical with and without. */ +__attribute__((nonnull)) void crypton_sha256_finalize(struct sha256_ctx *ctx, uint8_t *out); void crypton_sha256_finalize_prefix(struct sha256_ctx *ctx, const uint8_t *data, uint32_t len, uint32_t n, uint8_t *out); diff --git a/cbits/crypton_sha3.c b/cbits/crypton_sha3.c --- a/cbits/crypton_sha3.c +++ b/cbits/crypton_sha3.c @@ -50,15 +50,76 @@ static const int keccak_piln[24] = { 10,7,11,17,18,3,5,16,8,21,24,4,15,23,19,13,12,2,20,14,22,9,6,1 }; -static inline void sha3_do_chunk(uint64_t state[25], uint64_t buf[], int bufsz) +/* + * AArch64 has instructions for this permutation; see sha3_armv8.c. They are + * an ARMv8.2 extension, so ask before using them. Two threads racing to + * answer here both write the same value. + */ +#ifdef WITH_ARMV8_SHA3 +extern void crypton_sha3_armv8_permute(uint64_t state[25]); +extern int crypton_sha3_armv8_available(void); + +static int sha3_use_armv8 = -1; + +/* Two threads racing to answer this both write the same value. */ +static int sha3_armv8_ok(void) { + if (sha3_use_armv8 < 0) + sha3_use_armv8 = crypton_sha3_armv8_available(); + return sha3_use_armv8; +} +#endif + +#if defined(WITH_ARMV8_SHA3_ASM) && !defined(__AARCH64EB__) +/* + * Keccak from CRYPTOGAMS, in cbits/asm/keccak1600-armv8-*.S, which takes a + * run of blocks rather than one at a time and schedules the instructions + * across the round it is in and the next. The instructions are the same + * ones the intrinsics beside it use; the arrangement is what is worth + * about a tenth here. It reads the message as bytes, so the run wants + * neither alignment nor a copy. + */ +#define SHA3_ASM 1 +/* the runtime question this file already asks decides whether it is used */ +#define SHA3_ASM_OPTIONAL 1 +extern size_t crypton_keccak_asm_absorb_cext(uint64_t state[25], const void *inp, + size_t len, size_t bsz); +#define sha3_asm_absorb crypton_keccak_asm_absorb_cext +#endif + +#ifdef WITH_X86_SHA3_ASM +/* + * And the same module for x86-64, where there are no instructions for this + * and what the assembly has over the C is the arrangement: the twenty-five + * lanes live in registers across a round, where a compiler given the C + * below spills them, and the rotations are folded into the operations that + * consume them. It needs nothing of the processor beyond the baseline, so + * unlike the AArch64 one it is used wherever it is compiled in. + */ +#define SHA3_ASM 1 +extern size_t crypton_keccak_asm_absorb(uint64_t state[25], const void *inp, + size_t len, size_t bsz); +#define sha3_asm_absorb crypton_keccak_asm_absorb +#endif + +/* The words are read out of the block rather than the block being pointed at + * as though it were an array of them; see crypton_md5.c. */ +static inline void sha3_do_chunk(uint64_t state[25], const uint8_t *buf, int bufsz) +{ int i, j, r; uint64_t tmp, bc[5]; /* merge buf with state */ for (i = 0; i < bufsz; i++) - state[i] ^= le64_to_cpu(buf[i]); + state[i] ^= load_le64(buf + 8 * i); +#ifdef WITH_ARMV8_SHA3 + if (sha3_armv8_ok()) { + crypton_sha3_armv8_permute(state); + return; + } +#endif + /* run keccak rounds */ for (r = 0; r < KECCAK_NB_ROUNDS; r++) { /* compute the parity of each columns */ @@ -121,33 +182,38 @@ to_fill = ctx->bufsz - ctx->bufindex; if (ctx->bufindex == ctx->bufsz) { - sha3_do_chunk(ctx->state, (uint64_t *) ctx->buf, ctx->bufsz / 8); + sha3_do_chunk(ctx->state, ctx->buf, ctx->bufsz / 8); ctx->bufindex = 0; } /* process partial buffer if there's enough data to make a block */ if (ctx->bufindex && len >= to_fill) { memcpy(ctx->buf + ctx->bufindex, data, to_fill); - sha3_do_chunk(ctx->state, (uint64_t *) ctx->buf, ctx->bufsz / 8); + sha3_do_chunk(ctx->state, ctx->buf, ctx->bufsz / 8); len -= to_fill; data += to_fill; ctx->bufindex = 0; } - if (need_alignment(data, 8)) { - uint64_t tramp[SHA3_BUF_SIZE_MAX/8]; - ASSERT_ALIGNMENT(tramp, 8); - for (; len >= ctx->bufsz; len -= ctx->bufsz, data += ctx->bufsz) { - memcpy(tramp, data, ctx->bufsz); - sha3_do_chunk(ctx->state, tramp, ctx->bufsz / 8); - } - } else { - /* process as much ctx->bufsz-block */ - for (; len >= ctx->bufsz; len -= ctx->bufsz, data += ctx->bufsz) - sha3_do_chunk(ctx->state, (uint64_t *) data, ctx->bufsz / 8); +#ifdef SHA3_ASM + if (len >= ctx->bufsz +#ifdef SHA3_ASM_OPTIONAL + && sha3_armv8_ok() +#endif + ) { + const size_t left = sha3_asm_absorb(ctx->state, data, len, + ctx->bufsz); + + data += len - left; + len = (uint32_t) left; } +#endif + /* No trampoline: load_le64 does not ask for a boundary. */ + for (; len >= ctx->bufsz; len -= ctx->bufsz, data += ctx->bufsz) + sha3_do_chunk(ctx->state, data, ctx->bufsz / 8); + /* append data into buf */ if (len) { memcpy(ctx->buf + ctx->bufindex, data, len); @@ -159,7 +225,7 @@ { /* process full buffer if needed */ if (ctx->bufindex == ctx->bufsz) { - sha3_do_chunk(ctx->state, (uint64_t *) ctx->buf, ctx->bufsz / 8); + sha3_do_chunk(ctx->state, ctx->buf, ctx->bufsz / 8); ctx->bufindex = 0; } @@ -169,7 +235,7 @@ ctx->buf[ctx->bufsz - 1] |= 0x80; /* process */ - sha3_do_chunk(ctx->state, (uint64_t *) ctx->buf, ctx->bufsz / 8); + sha3_do_chunk(ctx->state, ctx->buf, ctx->bufsz / 8); ctx->bufindex = 0; } diff --git a/cbits/crypton_sha512.c b/cbits/crypton_sha512.c --- a/cbits/crypton_sha512.c +++ b/cbits/crypton_sha512.c @@ -91,13 +91,16 @@ #define s0(x) (ror64(x, 1) ^ ror64(x, 8) ^ (x >> 7)) #define s1(x) (ror64(x, 19) ^ ror64(x, 61) ^ (x >> 6)) -static void sha512_do_chunk(struct sha512_ctx *ctx, uint64_t *buf) +/* The words are read out of the block rather than the block being pointed at + * as though it were an array of them; see crypton_md5.c. */ +static void sha512_do_chunk_generic(struct sha512_ctx *ctx, const uint8_t *buf) { uint64_t a, b, c, d, e, f, g, h, t1, t2; int i; uint64_t w[80]; - cpu_to_be64_array(w, buf, 16); + for (i = 0; i < 16; i++) + w[i] = load_be64(buf + 8 * i); for (i = 16; i < 80; i++) w[i] = s1(w[i - 2]) + w[i - 7] + s0(w[i - 15]) + w[i - 16]; @@ -128,6 +131,58 @@ ctx->h[4] += e; ctx->h[5] += f; ctx->h[6] += g; ctx->h[7] += h; } +#ifdef WITH_ARMV8_SHA512 +/* + * AArch64 can do two rounds at a time with the SHA-512 instructions; see + * sha512_armv8.c. They are an optional ARMv8.2 extension and much less + * widespread than the SHA-256 ones, so ask before using them. Two threads + * racing to answer here both write the same value. + */ +extern void crypton_sha512_armv8_do_chunk(uint64_t state[8], const uint8_t buf[128]); +extern int crypton_sha512_armv8_available(void); + +/* Resolved before there is a second thread; see the constructor in + * cbits/crypton_aes.c for why. The test below then only ever reads. */ +static int sha512_use_armv8 = -1; + +__attribute__((constructor)) +static void sha512_armv8_ctor(void) +{ + sha512_use_armv8 = crypton_sha512_armv8_available(); +} +#endif + + +#ifdef WITH_X86_SHA512_ASM +/* + * SHA-512 from CRYPTOGAMS, in cbits/asm/sha512-x86_64-*.S, which takes any + * number of blocks at once and schedules across them, and picks between + * AVX2, AVX, SSSE3 and plain integer code from crypton_ia32cap_P. + */ +#define SHA512_ASM 1 +#include "crypton_cpu.h" +extern void crypton_sha512_asm_block_data_order(uint64_t state[8], + const void *data, size_t blocks); +#endif + +static void sha512_do_chunk(struct sha512_ctx *ctx, const uint8_t *buf) +{ +#ifdef SHA512_ASM + crypton_x86_ia32cap_resolve(); + crypton_sha512_asm_block_data_order(ctx->h, buf, 1); + return; +#endif +#ifdef WITH_ARMV8_SHA512 + if (sha512_use_armv8 < 0) + sha512_use_armv8 = crypton_sha512_armv8_available(); + if (sha512_use_armv8) { + crypton_sha512_armv8_do_chunk(ctx->h, buf); + return; + } +#endif + sha512_do_chunk_generic(ctx, buf); +} + void crypton_sha384_update(struct sha384_ctx *ctx, const uint8_t *data, uint32_t len) { return crypton_sha512_update(ctx, data, len); @@ -148,24 +203,28 @@ /* process partial buffer if there's enough data to make a block */ if (index && len >= to_fill) { memcpy(ctx->buf + index, data, to_fill); - sha512_do_chunk(ctx, (uint64_t *) ctx->buf); + sha512_do_chunk(ctx, ctx->buf); len -= to_fill; data += to_fill; index = 0; } - if (need_alignment(data, 8)) { - uint64_t tramp[16]; - ASSERT_ALIGNMENT(tramp, 8); - for (; len >= 128; len -= 128, data += 128) { - memcpy(tramp, data, 128); - sha512_do_chunk(ctx, tramp); - } - } else { - /* process as much 128-block as possible */ - for (; len >= 128; len -= 128, data += 128) - sha512_do_chunk(ctx, (uint64_t *) data); +#ifdef SHA512_ASM + /* the assembly reads the message as bytes, so it wants neither the + * alignment nor the copy, and takes the whole run in one call */ + if (len >= 128) { + size_t blocks = len / 128; + + crypton_x86_ia32cap_resolve(); + crypton_sha512_asm_block_data_order(ctx->h, data, blocks); + data += blocks * 128; + len -= (uint32_t) blocks * 128; } +#else + /* No trampoline: load_be64 does not ask for a boundary. */ + for (; len >= 128; len -= 128, data += 128) + sha512_do_chunk(ctx, data); +#endif /* append data into buf */ if (len) @@ -287,7 +346,7 @@ /* re-init the context, otherwise len is changed */ memset(ctx, 0, sizeof(*ctx)); for (i = 0; i < 8; i++) - ctx->h[i] = cpu_to_be64(((uint64_t *) out)[i]); + ctx->h[i] = load_be64(out + 8 * i); } } } diff --git a/cbits/crypton_sha512.h b/cbits/crypton_sha512.h --- a/cbits/crypton_sha512.h +++ b/cbits/crypton_sha512.h @@ -50,6 +50,18 @@ void crypton_sha512_init(struct sha512_ctx *ctx); void crypton_sha512_update(struct sha512_ctx *ctx, const uint8_t *data, uint32_t len); +/* The pointers are all required to be non-null, which is said here so that + * the compiler knows it too. Both of these write their digest through a + * loop -- store_be32(out + 4 * i, ...) -- where sha1 and md5 write theirs at + * constant offsets, and that is the difference that makes gcc's + * -Wstringop-overflow reason about out being null: with + * -fsanitize=undefined, UndefinedBehaviorSanitizer inserts a null check + * before memcpy, because glibc declares memcpy nonnull, and the check puts a + * null path in front of the warning pass, which then reports writing into + * "a region of size 0" at "address zero". Saying the pointer is never null + * removes the path rather than the warning. It costs nothing: compiled as + * the package compiles it, the assembly is identical with and without. */ +__attribute__((nonnull)) void crypton_sha512_finalize(struct sha512_ctx *ctx, uint8_t *out); void crypton_sha512_finalize_prefix(struct sha512_ctx *ctx, const uint8_t *data, uint32_t len, uint32_t n, uint8_t *out); diff --git a/cbits/crypton_skein256.c b/cbits/crypton_skein256.c --- a/cbits/crypton_skein256.c +++ b/cbits/crypton_skein256.c @@ -37,7 +37,9 @@ static const uint8_t K256_6[2] = { 58, 22, }; static const uint8_t K256_7[2] = { 32, 32, }; -static inline void skein256_do_chunk(struct skein256_ctx *ctx, uint64_t *buf, uint32_t len) +/* The four words are read out of the block rather than the block being + * pointed at as though it were an array of them; see crypton_md5.c. */ +static inline void skein256_do_chunk(struct skein256_ctx *ctx, const uint8_t *bufp, uint32_t len) { uint64_t x[4]; uint64_t ts[3]; @@ -78,11 +80,18 @@ ROUND(0,3,2,1,K256_7); \ INJECTKEY((i*2) + 2) - x[0] = le64_to_cpu(buf[0]) + ks[0]; - x[1] = le64_to_cpu(buf[1]) + ks[1] + ts[0]; - x[2] = le64_to_cpu(buf[2]) + ks[2] + ts[1]; - x[3] = le64_to_cpu(buf[3]) + ks[3]; + uint64_t buf[4]; + buf[0] = load_le64(bufp); + buf[1] = load_le64(bufp + 8); + buf[2] = load_le64(bufp + 16); + buf[3] = load_le64(bufp + 24); + + x[0] = buf[0] + ks[0]; + x[1] = buf[1] + ks[1] + ts[0]; + x[2] = buf[2] + ks[2] + ts[1]; + x[3] = buf[3] + ks[3]; + /* 9 pass of 8 rounds = 72 rounds */ PASS(0); PASS(1); @@ -98,10 +107,10 @@ ctx->t0 = ts[0]; ctx->t1 = ts[1]; - ctx->h[0] = x[0] ^ cpu_to_le64(buf[0]); - ctx->h[1] = x[1] ^ cpu_to_le64(buf[1]); - ctx->h[2] = x[2] ^ cpu_to_le64(buf[2]); - ctx->h[3] = x[3] ^ cpu_to_le64(buf[3]); + ctx->h[0] = x[0] ^ buf[0]; + ctx->h[1] = x[1] ^ buf[1]; + ctx->h[2] = x[2] ^ buf[2]; + ctx->h[3] = x[3] ^ buf[3]; } void crypton_skein256_init(struct skein256_ctx *ctx, uint32_t hashlen) @@ -115,7 +124,7 @@ buf[0] = cpu_to_le64((SKEIN_VERSION << 32) | SKEIN_IDSTRING); buf[1] = cpu_to_le64(hashlen); buf[2] = 0; /* tree info, not implemented */ - skein256_do_chunk(ctx, buf, 4*8); + skein256_do_chunk(ctx, (const uint8_t *) buf, 4*8); SET_TYPE(ctx, FLAG_FIRST | FLAG_TYPE(TYPE_MSG)); } @@ -130,7 +139,7 @@ to_fill = 32 - ctx->bufindex; if (ctx->bufindex == 32) { - skein256_do_chunk(ctx, (uint64_t *) ctx->buf, 32); + skein256_do_chunk(ctx, ctx->buf, 32); ctx->bufindex = 0; } @@ -138,24 +147,17 @@ * and there's without doubt further blocks */ if (ctx->bufindex && len > to_fill) { memcpy(ctx->buf + ctx->bufindex, data, to_fill); - skein256_do_chunk(ctx, (uint64_t *) ctx->buf, 32); + skein256_do_chunk(ctx, ctx->buf, 32); len -= to_fill; data += to_fill; ctx->bufindex = 0; } - if (need_alignment(data, 8)) { - uint64_t tramp[4]; - ASSERT_ALIGNMENT(tramp, 8); - for (; len > 32; len -= 32, data += 32) { - memcpy(tramp, data, 32); - skein256_do_chunk(ctx, tramp, 32); - } - } else { - /* process as much 32-block as possible except the last one in case we finalize */ - for (; len > 32; len -= 32, data += 32) - skein256_do_chunk(ctx, (uint64_t *) data, 32); - } + /* No trampoline for a block that is not on an eight-byte boundary: the + * words are read with load_le64 now, which does not ask. The last + * block is left for the finalisation. */ + for (; len > 32; len -= 32, data += 32) + skein256_do_chunk(ctx, data, 32); /* append data into buf */ if (len) { @@ -174,7 +176,7 @@ /* if buf is not complete pad with 0 bytes */ if (ctx->bufindex < 32) memset(ctx->buf + ctx->bufindex, '\0', 32 - ctx->bufindex); - skein256_do_chunk(ctx, (uint64_t *) ctx->buf, ctx->bufindex); + skein256_do_chunk(ctx, ctx->buf, ctx->bufindex); memset(ctx->buf, '\0', 32); @@ -187,9 +189,9 @@ /* threefish in counter mode, 0 for 1st 64 bytes, 1 for 2nd 64 bytes, .. */ for (i = 0; i*32 < outsize; i++) { uint64_t w[4]; - *((uint64_t *) ctx->buf) = cpu_to_le64(i); + store_le64(ctx->buf, i); SET_TYPE(ctx, FLAG_FIRST | FLAG_FINAL | FLAG_TYPE(TYPE_OUT)); - skein256_do_chunk(ctx, (uint64_t *) ctx->buf, sizeof(uint64_t)); + skein256_do_chunk(ctx, ctx->buf, sizeof(uint64_t)); n = outsize - i * 32; if (n >= 32) n = 32; diff --git a/cbits/crypton_skein256.h b/cbits/crypton_skein256.h --- a/cbits/crypton_skein256.h +++ b/cbits/crypton_skein256.h @@ -37,8 +37,8 @@ #define SKEIN256_CTX_SIZE sizeof(struct skein256_ctx) -void cryponite_skein256_init(struct skein256_ctx *ctx, uint32_t hashlen); -void cryponite_skein256_update(struct skein256_ctx *ctx, const uint8_t *data, uint32_t len); -void cryponite_skein256_finalize(struct skein256_ctx *ctx, uint32_t hashlen, uint8_t *out); +void crypton_skein256_init(struct skein256_ctx *ctx, uint32_t hashlen); +void crypton_skein256_update(struct skein256_ctx *ctx, const uint8_t *data, uint32_t len); +void crypton_skein256_finalize(struct skein256_ctx *ctx, uint32_t hashlen, uint8_t *out); #endif diff --git a/cbits/crypton_skein512.c b/cbits/crypton_skein512.c --- a/cbits/crypton_skein512.c +++ b/cbits/crypton_skein512.c @@ -37,7 +37,9 @@ static const uint8_t K512_6[4] = { 25, 29, 39, 43, }; static const uint8_t K512_7[4] = { 8, 35, 56, 22, }; -static inline void skein512_do_chunk(struct skein512_ctx *ctx, uint64_t *buf, uint32_t len) +/* The words are read out of the block rather than the block being pointed at + * as though it were an array of them; see crypton_md5.c. */ +static inline void skein512_do_chunk(struct skein512_ctx *ctx, const uint8_t *bufp, uint32_t len) { uint64_t x[8]; uint64_t ts[3]; @@ -88,15 +90,21 @@ ROUND(6,1,0,7,2,5,4,3,K512_7); \ INJECTKEY((i*2) + 2) - x[0] = le64_to_cpu(buf[0]) + ks[0]; - x[1] = le64_to_cpu(buf[1]) + ks[1]; - x[2] = le64_to_cpu(buf[2]) + ks[2]; - x[3] = le64_to_cpu(buf[3]) + ks[3]; - x[4] = le64_to_cpu(buf[4]) + ks[4]; - x[5] = le64_to_cpu(buf[5]) + ks[5] + ts[0]; - x[6] = le64_to_cpu(buf[6]) + ks[6] + ts[1]; - x[7] = le64_to_cpu(buf[7]) + ks[7]; + uint64_t buf[8]; + int bi; + for (bi = 0; bi < 8; bi++) + buf[bi] = load_le64(bufp + 8 * bi); + + x[0] = buf[0] + ks[0]; + x[1] = buf[1] + ks[1]; + x[2] = buf[2] + ks[2]; + x[3] = buf[3] + ks[3]; + x[4] = buf[4] + ks[4]; + x[5] = buf[5] + ks[5] + ts[0]; + x[6] = buf[6] + ks[6] + ts[1]; + x[7] = buf[7] + ks[7]; + /* 9 pass of 8 rounds = 72 rounds */ PASS(0); PASS(1); @@ -112,14 +120,14 @@ ctx->t0 = ts[0]; ctx->t1 = ts[1]; - ctx->h[0] = x[0] ^ cpu_to_le64(buf[0]); - ctx->h[1] = x[1] ^ cpu_to_le64(buf[1]); - ctx->h[2] = x[2] ^ cpu_to_le64(buf[2]); - ctx->h[3] = x[3] ^ cpu_to_le64(buf[3]); - ctx->h[4] = x[4] ^ cpu_to_le64(buf[4]); - ctx->h[5] = x[5] ^ cpu_to_le64(buf[5]); - ctx->h[6] = x[6] ^ cpu_to_le64(buf[6]); - ctx->h[7] = x[7] ^ cpu_to_le64(buf[7]); + ctx->h[0] = x[0] ^ buf[0]; + ctx->h[1] = x[1] ^ buf[1]; + ctx->h[2] = x[2] ^ buf[2]; + ctx->h[3] = x[3] ^ buf[3]; + ctx->h[4] = x[4] ^ buf[4]; + ctx->h[5] = x[5] ^ buf[5]; + ctx->h[6] = x[6] ^ buf[6]; + ctx->h[7] = x[7] ^ buf[7]; } void crypton_skein512_init(struct skein512_ctx *ctx, uint32_t hashlen) @@ -133,7 +141,7 @@ buf[0] = cpu_to_le64((SKEIN_VERSION << 32) | SKEIN_IDSTRING); buf[1] = cpu_to_le64(hashlen); buf[2] = 0; /* tree info, not implemented */ - skein512_do_chunk(ctx, buf, 4*8); + skein512_do_chunk(ctx, (const uint8_t *) buf, 4*8); SET_TYPE(ctx, FLAG_FIRST | FLAG_TYPE(TYPE_MSG)); } @@ -148,7 +156,7 @@ to_fill = 64 - ctx->bufindex; if (ctx->bufindex == 64) { - skein512_do_chunk(ctx, (uint64_t *) ctx->buf, 64); + skein512_do_chunk(ctx, ctx->buf, 64); ctx->bufindex = 0; } @@ -156,24 +164,15 @@ * and there's without doubt further blocks */ if (ctx->bufindex && len > to_fill) { memcpy(ctx->buf + ctx->bufindex, data, to_fill); - skein512_do_chunk(ctx, (uint64_t *) ctx->buf, 64); + skein512_do_chunk(ctx, ctx->buf, 64); len -= to_fill; data += to_fill; ctx->bufindex = 0; } - if (need_alignment(data, 8)) { - uint64_t tramp[8]; - ASSERT_ALIGNMENT(tramp, 8); - for (; len > 64; len -= 64, data += 64) { - memcpy(tramp, data, 64); - skein512_do_chunk(ctx, tramp, 64); - } - } else { - /* process as much 64-block as possible except the last one in case we finalize */ - for (; len > 64; len -= 64, data += 64) - skein512_do_chunk(ctx, (uint64_t *) data, 64); - } + /* No trampoline: load_le64 does not ask for a boundary. */ + for (; len > 64; len -= 64, data += 64) + skein512_do_chunk(ctx, data, 64); /* append data into buf */ if (len) { @@ -192,7 +191,7 @@ /* if buf is not complete pad with 0 bytes */ if (ctx->bufindex < 64) memset(ctx->buf + ctx->bufindex, '\0', 64 - ctx->bufindex); - skein512_do_chunk(ctx, (uint64_t *) ctx->buf, ctx->bufindex); + skein512_do_chunk(ctx, ctx->buf, ctx->bufindex); memset(ctx->buf, '\0', 64); @@ -205,9 +204,9 @@ /* threefish in counter mode, 0 for 1st 64 bytes, 1 for 2nd 64 bytes, .. */ for (i = 0; i*64 < outsize; i++) { uint64_t w[8]; - *((uint64_t *) ctx->buf) = cpu_to_le64(i); + store_le64(ctx->buf, i); SET_TYPE(ctx, FLAG_FIRST | FLAG_FINAL | FLAG_TYPE(TYPE_OUT)); - skein512_do_chunk(ctx, (uint64_t *) ctx->buf, sizeof(uint64_t)); + skein512_do_chunk(ctx, ctx->buf, sizeof(uint64_t)); n = outsize - i * 64; if (n >= 64) n = 64; diff --git a/cbits/crypton_skein512.h b/cbits/crypton_skein512.h --- a/cbits/crypton_skein512.h +++ b/cbits/crypton_skein512.h @@ -37,8 +37,8 @@ #define SKEIN512_CTX_SIZE sizeof(struct skein512_ctx) -void cryponite_skein512_init(struct skein512_ctx *ctx, uint32_t hashlen); -void cryponite_skein512_update(struct skein512_ctx *ctx, const uint8_t *data, uint32_t len); -void cryponite_skein512_finalize(struct skein512_ctx *ctx, uint32_t hashlen, uint8_t *out); +void crypton_skein512_init(struct skein512_ctx *ctx, uint32_t hashlen); +void crypton_skein512_update(struct skein512_ctx *ctx, const uint8_t *data, uint32_t len); +void crypton_skein512_finalize(struct skein512_ctx *ctx, uint32_t hashlen, uint8_t *out); #endif diff --git a/cbits/crypton_tiger.c b/cbits/crypton_tiger.c --- a/cbits/crypton_tiger.c +++ b/cbits/crypton_tiger.c @@ -306,7 +306,9 @@ ctx->h[2] = 0xf096a5b4c3b2e187ULL; } -static inline void tiger_do_chunk(struct tiger_ctx *ctx, uint64_t *buf) +/* The words are read out of the block rather than the block being pointed at + * as though it were an array of them; see crypton_md5.c. */ +static inline void tiger_do_chunk(struct tiger_ctx *ctx, const uint8_t *buf) { uint64_t x0, x1, x2, x3, x4, x5, x6, x7; uint64_t a,b,c; @@ -314,8 +316,8 @@ b = ctx->h[1]; c = ctx->h[2]; - x0 = cpu_to_le64(buf[0]); x1 = cpu_to_le64(buf[1]); x2 = cpu_to_le64(buf[2]); x3 = cpu_to_le64(buf[3]); - x4 = cpu_to_le64(buf[4]); x5 = cpu_to_le64(buf[5]); x6 = cpu_to_le64(buf[6]); x7 = cpu_to_le64(buf[7]); + x0 = load_le64(buf ); x1 = load_le64(buf + 8); x2 = load_le64(buf + 16); x3 = load_le64(buf + 24); + x4 = load_le64(buf + 32); x5 = load_le64(buf + 40); x6 = load_le64(buf + 48); x7 = load_le64(buf + 56); #define BYTEOF(c, n) ((uint8_t) (c >> ((n * 8)))) @@ -376,24 +378,15 @@ /* process partial buffer if there's enough data to make a block */ if (index && len >= to_fill) { memcpy(ctx->buf + index, data, to_fill); - tiger_do_chunk(ctx, (uint64_t *) ctx->buf); + tiger_do_chunk(ctx, ctx->buf); len -= to_fill; data += to_fill; index = 0; } - if (need_alignment(data, 8)) { - uint64_t tramp[8]; - ASSERT_ALIGNMENT(tramp, 8); - for (; len >= 64; len -= 64, data += 64) { - memcpy(tramp, data, 64); - tiger_do_chunk(ctx, tramp); - } - } else { - /* process as much 64-block as possible */ - for (; len >= 64; len -= 64, data += 64) - tiger_do_chunk(ctx, (uint64_t *) data); - } + /* No trampoline: load_le64 does not ask for a boundary. */ + for (; len >= 64; len -= 64, data += 64) + tiger_do_chunk(ctx, data); /* append data into buf */ if (len) diff --git a/cbits/crypton_xsalsa.c b/cbits/crypton_xsalsa.c --- a/cbits/crypton_xsalsa.c +++ b/cbits/crypton_xsalsa.c @@ -41,7 +41,7 @@ memset(ctx, 0, sizeof(*ctx)); ctx->nb_rounds = nb_rounds; - /* Create initial 512-bit input block: + /* Create initial 512-bit input crypton_salsa_block: (x0, x5, x10, x15) is the Salsa20 constant (x1, x2, x3, x4, x11, x12, x13, x14) is a 256-bit key (x6, x7, x8, x9) is the first 128 bits of a 192-bit nonce @@ -56,7 +56,7 @@ void crypton_xsalsa_derive(crypton_salsa_context *ctx, uint32_t ivlen, const uint8_t *iv) { - /* Finish creating initial 512-bit input block: + /* Finish creating initial 512-bit input crypton_salsa_block: (x6, x7, x8, x9) is the first 128 bits of a 192-bit nonce Except iv has been shifted by 64 bits so there are now only 128 bits ahead. @@ -65,15 +65,15 @@ ctx->st.d[ 9] += load_le32(iv + 4); /* Compute (z0, z1, . . . , z15) = doubleround ^(r/2) (x0, x1, . . . , x15) */ - block hSalsa; - memset(&hSalsa, 0, sizeof(block)); + crypton_salsa_block hSalsa; + memset(&hSalsa, 0, sizeof(crypton_salsa_block)); crypton_salsa_core_xor(ctx->nb_rounds, &hSalsa, &ctx->st); - /* Build a new 512-bit input block (x′0, x′1, . . . , x′15): + /* Build a new 512-bit input crypton_salsa_block (x′0, x′1, . . . , x′15): (x′0, x′5, x′10, x′15) is the Salsa20 constant (x′1,x′2,x′3,x′4,x′11,x′12,x′13,x′14) = (z0,z5,z10,z15,z6,z7,z8,z9) (x′6,x′7) is the last 64 bits of the 192-bit nonce - (x′8, x′9) is a 64-bit block counter. + (x′8, x′9) is a 64-bit crypton_salsa_block counter. */ ctx->st.d[ 1] = hSalsa.d[ 0] - ctx->st.d[ 0]; ctx->st.d[ 2] = hSalsa.d[ 5] - ctx->st.d[ 5]; diff --git a/cbits/curve25519/x25519.c b/cbits/curve25519/x25519.c new file mode 100644 --- /dev/null +++ b/cbits/curve25519/x25519.c @@ -0,0 +1,88 @@ +/* + * X25519 through the vendored s2n-bignum where it is built, and through + * curve25519-donna where it is not. + * + * The fixed-base routine is the interesting half: crypton had none, and asked + * for the public key by multiplying the base point 9 the general way. With a + * table it is four to five times less work, and a TLS handshake generates a + * key every time. Measured on an Apple M4: + * + * donna s2n + * shared secret 18.15 us 12.35 + * key generation 18.15 3.65 + * + * and on an x86-64, 41.19 to 26.96 and 41.18 to 8.54. + */ +#include + +#include "curve25519/x25519.h" + +void crypton_curve25519_donna(uint8_t *mypublic, const uint8_t *secret, + const uint8_t *basepoint); + +/* The assembly takes four little-endian 64-bit words, which is the same bits + * as the 32 little-endian bytes RFC 7748 sends, so the two cross by copying + * -- on a little-endian machine, which is the only kind s2n-bignum is for. */ +#if defined(CRYPTON_S2N_BIGNUM) && defined(__BYTE_ORDER__) \ + && __BYTE_ORDER__ == __ORDER_LITTLE_ENDIAN__ +#define CRYPTON_X25519_S2N 1 +#include "crypton_cpu.h" + +extern void curve25519_x25519(uint64_t res[4], const uint64_t scalar[4], + const uint64_t point[4]); +extern void curve25519_x25519_alt(uint64_t res[4], const uint64_t scalar[4], + const uint64_t point[4]); +extern void curve25519_x25519base(uint64_t res[4], const uint64_t scalar[4]); +extern void curve25519_x25519base_alt(uint64_t res[4], const uint64_t scalar[4]); + +/* The same question as everywhere else in cbits/s2n: a microarchitecture one + * on ARM that no feature bit answers, and exactly a feature bit on x86-64. */ +static int use_alt(void) +{ +#if defined(__aarch64__) || defined(__arm64__) +#ifdef __APPLE__ + return 1; +#else + return 0; +#endif +#else + return (crypton_x86_simd_features() & CRYPTON_X86_ADX) == 0; +#endif +} +#endif + +void crypton_x25519(uint8_t out[32], const uint8_t secret[32], + const uint8_t point[32]) +{ +#ifdef CRYPTON_X25519_S2N + uint64_t r[4], s[4], p[4]; + + memcpy(s, secret, 32); + memcpy(p, point, 32); + if (use_alt()) + curve25519_x25519_alt(r, s, p); + else + curve25519_x25519(r, s, p); + memcpy(out, r, 32); +#else + crypton_curve25519_donna(out, secret, point); +#endif +} + +void crypton_x25519_base(uint8_t out[32], const uint8_t secret[32]) +{ +#ifdef CRYPTON_X25519_S2N + uint64_t r[4], s[4]; + + memcpy(s, secret, 32); + if (use_alt()) + curve25519_x25519base_alt(r, s); + else + curve25519_x25519base(r, s); + memcpy(out, r, 32); +#else + static const uint8_t nine[32] = {9}; + + crypton_curve25519_donna(out, secret, nine); +#endif +} diff --git a/cbits/curve25519/x25519.h b/cbits/curve25519/x25519.h new file mode 100644 --- /dev/null +++ b/cbits/curve25519/x25519.h @@ -0,0 +1,16 @@ +#ifndef CRYPTON_X25519_H +#define CRYPTON_X25519_H + +#include + +/* out = secret * point, the X25519 of RFC 7748: three 32-byte little-endian + * strings as they go over the wire. */ +void crypton_x25519(uint8_t out[32], const uint8_t secret[32], + const uint8_t point[32]); + +/* out = secret * G, which is the same thing with the base point 9 -- but + * where the assembly is built this reads a table instead and is four to five + * times faster, which is what a key generation costs. */ +void crypton_x25519_base(uint8_t out[32], const uint8_t secret[32]); + +#endif diff --git a/cbits/decaf/ed448goldilocks/decaf.c b/cbits/decaf/ed448goldilocks/decaf.c --- a/cbits/decaf/ed448goldilocks/decaf.c +++ b/cbits/decaf/ed448goldilocks/decaf.c @@ -18,6 +18,23 @@ #include #include +/* MSVC has no builtint ctz, this is a fix as in +https://stackoverflow.com/questions/355967/how-to-use-msvc-intrinsics-to-get-the-equivalent-of-this-gcc-code/5468852#5468852 +*/ +#ifdef _MSC_VER +#include + +uint32_t __inline ctz(uint32_t value) +{ + DWORD trailing_zero = 0; + if ( _BitScanForward( &trailing_zero, value ) ) + return trailing_zero; + else + return 32; // This is undefined, I better choose 32 than 0 +} +#define __builtin_ctz(x) ctz(x) +#endif + /* Template stuff */ #define API_NS(_id) crypton_decaf_448_##_id #define SCALAR_BITS CRYPTON_DECAF_448_SCALAR_BITS @@ -48,12 +65,25 @@ const uint8_t crypton_decaf_x448_base_point[CRYPTON_DECAF_X448_PUBLIC_BYTES] = { 0x05 }; -#if COFACTOR==8 || EDDSA_USE_SIGMA_ISOGENY - static const gf SQRT_ONE_MINUS_D = {FIELD_LITERAL( - /* NONE */ - )}; +#define RISTRETTO_FACTOR CRYPTON_DECAF_448_RISTRETTO_FACTOR +const gf RISTRETTO_FACTOR = {FIELD_LITERAL( + 0x42ef0f45572736, 0x7bf6aa20ce5296, 0xf4fd6eded26033, 0x968c14ba839a66, 0xb8d54b64a2d780, 0x6aa0a1f1a7b8a5, 0x683bf68d722fa2, 0x22d962fbeb24f7 +)}; + +#if IMAGINE_TWIST +#define TWISTED_D (-(EDWARDS_D)) +#else +#define TWISTED_D ((EDWARDS_D)-1) #endif +#if TWISTED_D < 0 +#define EFF_D (-(TWISTED_D)) +#define NEG_D 1 +#else +#define EFF_D TWISTED_D +#define NEG_D 0 +#endif + /* End of template stuff */ /* Sanity */ @@ -109,128 +139,112 @@ crypton_gf_copy(y, t2); } -/** Return high bit of x = low bit of 2x mod p */ -static mask_t crypton_gf_lobit(const gf x) { - gf y; - crypton_gf_copy(y,x); - crypton_gf_strong_reduce(y); - return -(y->limb[0]&1); -} - /** identity = (0,1) */ const point_t API_NS(point_identity) = {{{{{0}}},{{{1}}},{{{1}}},{{{0}}}}}; +/* Predeclare because not static: called by elligator */ void API_NS(deisogenize) ( crypton_gf_s *__restrict__ s, - crypton_gf_s *__restrict__ minus_t_over_s, + crypton_gf_s *__restrict__ inv_el_sum, + crypton_gf_s *__restrict__ inv_el_m1, const point_t p, - mask_t toggle_hibit_s, - mask_t toggle_hibit_t_over_s, + mask_t toggle_s, + mask_t toggle_altx, mask_t toggle_rotation ); void API_NS(deisogenize) ( crypton_gf_s *__restrict__ s, - crypton_gf_s *__restrict__ minus_t_over_s, + crypton_gf_s *__restrict__ inv_el_sum, + crypton_gf_s *__restrict__ inv_el_m1, const point_t p, - mask_t toggle_hibit_s, - mask_t toggle_hibit_t_over_s, + mask_t toggle_s, + mask_t toggle_altx, mask_t toggle_rotation ) { #if COFACTOR == 4 && !IMAGINE_TWIST - (void) toggle_rotation; - - gf b, d; - crypton_gf_s *c = s, *a = minus_t_over_s; - crypton_gf_mulw(a, p->y, 1-EDWARDS_D); - crypton_gf_mul(c, a, p->t); /* -dYT, with EDWARDS_D = d-1 */ - crypton_gf_mul(a, p->x, p->z); - crypton_gf_sub(d, c, a); /* aXZ-dYT with a=-1 */ - crypton_gf_add(a, p->z, p->y); - crypton_gf_sub(b, p->z, p->y); - crypton_gf_mul(c, b, a); - crypton_gf_mulw(b, c, -EDWARDS_D); /* (a-d)(Z+Y)(Z-Y) */ - mask_t ok = crypton_gf_isr (a,b); /* r in the paper */ - (void)ok; assert(ok | crypton_gf_eq(b,ZERO)); - crypton_gf_mulw (b, a, -EDWARDS_D); /* u in the paper */ - - crypton_gf_mul(c,a,d); /* r(aZX-dYT) */ - crypton_gf_mul(a,b,p->z); /* uZ */ - crypton_gf_add(a,a,a); /* 2uZ */ + (void)toggle_rotation; /* Only applies to cofactor 8 */ + gf t1; + crypton_gf_s *t2 = s, *t3=inv_el_sum, *t4=inv_el_m1; - mask_t tg = toggle_hibit_t_over_s ^ ~crypton_gf_hibit(minus_t_over_s); - crypton_gf_cond_neg(minus_t_over_s, tg); /* t/s <-? -t/s */ - crypton_gf_cond_neg(c, tg); /* u <- -u if negative. */ + crypton_gf_add(t1,p->x,p->t); + crypton_gf_sub(t2,p->x,p->t); + crypton_gf_mul(t3,t1,t2); /* t3 = num */ + crypton_gf_sqr(t2,p->x); + crypton_gf_mul(t1,t2,t3); + crypton_gf_mulw(t2,t1,-1-TWISTED_D); /* -x^2 * (a-d) * num */ + crypton_gf_isr(t1,t2); /* t1 = isr */ + crypton_gf_mul(t2,t1,t3); /* t2 = ratio */ + crypton_gf_mul(t4,t2,RISTRETTO_FACTOR); + mask_t negx = crypton_gf_lobit(t4) ^ toggle_altx; + crypton_gf_cond_neg(t2, negx); + crypton_gf_mul(t3,t2,p->z); + crypton_gf_sub(t3,t3,p->t); + crypton_gf_mul(t2,t3,p->x); + crypton_gf_mulw(t4,t2,-1-TWISTED_D); + crypton_gf_mul(s,t4,t1); + mask_t lobs = crypton_gf_lobit(s); + crypton_gf_cond_neg(s,lobs); + crypton_gf_copy(inv_el_m1,p->x); + crypton_gf_cond_neg(inv_el_m1,~lobs^negx^toggle_s); + crypton_gf_add(inv_el_m1,inv_el_m1,p->t); - crypton_gf_add(d,c,p->y); - crypton_gf_mul(s,b,d); - crypton_gf_cond_neg(s, toggle_hibit_s ^ crypton_gf_hibit(s)); -#else +#elif COFACTOR == 8 && IMAGINE_TWIST /* More complicated because of rotation */ - /* MAGIC This code is wrong for certain non-Curve25519 curves; - * check if it's because of Cofactor==8 or IMAGINE_TWIST */ - - gf c, d; - crypton_gf_s *b = s, *a = minus_t_over_s; + gf t1,t2,t3,t4,t5; + crypton_gf_add(t1,p->z,p->y); + crypton_gf_sub(t2,p->z,p->y); + crypton_gf_mul(t3,t1,t2); /* t3 = num */ + crypton_gf_mul(t2,p->x,p->y); /* t2 = den */ + crypton_gf_sqr(t1,t2); + crypton_gf_mul(t4,t1,t3); + crypton_gf_mulw(t1,t4,-1-TWISTED_D); + crypton_gf_isr(t4,t1); /* isqrt(num*(a-d)*den^2) */ + crypton_gf_mul(t1,t2,t4); + crypton_gf_mul(t2,t1,RISTRETTO_FACTOR); /* t2 = "iden" in ristretto.sage */ + crypton_gf_mul(t1,t3,t4); /* t1 = "inum" in ristretto.sage */ - #if IMAGINE_TWIST - gf x, t; - crypton_gf_div_qnr(x,p->x); - crypton_gf_div_qnr(t,p->t); - crypton_gf_add ( a, p->z, x ); - crypton_gf_sub ( b, p->z, x ); - crypton_gf_mul ( c, a, b ); /* "zx" = Z^2 - aX^2 = Z^2 - X^2 */ - #else - const crypton_gf_s *x = p->x, *t = p->t; - crypton_gf_sqr ( a, p->z ); - crypton_gf_sqr ( b, p->x ); - crypton_gf_add ( c, a, b ); /* "zx" = Z^2 - aX^2 = Z^2 + X^2 */ - #endif - /* Here: c = "zx" in the SAGE code = Z^2 - aX^2 */ + /* Calculate altxy = iden*inum*i*t^2*(d-a) */ + crypton_gf_mul(t3,t1,t2); + crypton_gf_mul_i(t4,t3); + crypton_gf_mul(t3,t4,p->t); + crypton_gf_mul(t4,t3,p->t); + crypton_gf_mulw(t3,t4,TWISTED_D+1); /* iden*inum*i*t^2*(d-1) */ + mask_t rotate = toggle_rotation ^ crypton_gf_lobit(t3); - crypton_gf_mul ( a, p->z, t ); /* "tz" = T*Z */ - crypton_gf_sqr ( b, a ); - crypton_gf_mul ( d, b, c ); /* (TZ)^2 * (Z^2-aX^2) */ - mask_t ok = crypton_gf_isr(b, d); - (void)ok; assert(ok | crypton_gf_eq(d,ZERO)); - crypton_gf_mul ( d, b, a ); /* "osx" = 1 / sqrt(z^2-ax^2) */ - crypton_gf_mul ( a, b, c ); - crypton_gf_mul ( b, a, d ); /* 1/tz */ - - mask_t rotate; - #if (COFACTOR == 8) - gf e; - crypton_gf_sqr(e, p->z); - crypton_gf_mul(a, e, b); /* z^2 / tz = z/t = 1/xy */ - rotate = crypton_gf_hibit(a) ^ toggle_rotation; - /* Curve25519: cond select between zx * 1/tz or sqrt(1-d); y=-x */ - crypton_gf_mul ( a, b, c ); - crypton_gf_cond_sel ( a, a, SQRT_ONE_MINUS_D, rotate ); - crypton_gf_cond_sel ( e, p->y, x, rotate ); - #else - const crypton_gf_s *e = x; - (void)toggle_rotation; - rotate = 0; - #endif + /* Rotate if altxy is negative */ + crypton_gf_cond_swap(t1,t2,rotate); + crypton_gf_mul_i(t4,p->x); + crypton_gf_cond_sel(t4,p->y,t4,rotate); /* t4 = "fac" = ix if rotate, else y */ - crypton_gf_mul ( c, a, d ); // new "osx" - crypton_gf_mul ( a, c, p->z ); - crypton_gf_add ( minus_t_over_s, a, a ); // 2 * "osx" * Z - crypton_gf_mul ( d, b, p->z ); + crypton_gf_mul_i(t5,RISTRETTO_FACTOR); /* t5 = imi */ + crypton_gf_mul(t3,t5,t2); /* iden * imi */ + crypton_gf_mul(t2,t5,t1); + crypton_gf_mul(t5,t2,p->t); /* "altx" = iden*imi*t */ + mask_t negx = crypton_gf_lobit(t5) ^ toggle_altx; - mask_t tg = toggle_hibit_t_over_s ^~ crypton_gf_hibit(minus_t_over_s); - crypton_gf_cond_neg ( minus_t_over_s, tg ); - crypton_gf_cond_neg ( c, rotate ^ tg ); - crypton_gf_add ( d, d, c ); - crypton_gf_mul ( s, d, e ); /* here "x" = y unless rotate */ - crypton_gf_cond_neg ( s, toggle_hibit_s ^ crypton_gf_hibit(s) ); + crypton_gf_cond_neg(t1,negx^rotate); + crypton_gf_mul(t2,t1,p->z); + crypton_gf_add(t2,t2,ONE); + crypton_gf_mul(inv_el_sum,t2,t4); + crypton_gf_mul(s,inv_el_sum,t3); + + mask_t negs = crypton_gf_lobit(s); + crypton_gf_cond_neg(s,negs); + + mask_t negz = ~negs ^ toggle_s ^ negx; + crypton_gf_copy(inv_el_m1,p->z); + crypton_gf_cond_neg(inv_el_m1,negz); + crypton_gf_sub(inv_el_m1,inv_el_m1,t4); +#else +#error "Cofactor must be 4 (with no IMAGINE_TWIST) or 8 (with IMAGINE_TWIST)" #endif } void API_NS(point_encode)( unsigned char ser[SER_BYTES], const point_t p ) { - gf s, mtos; - API_NS(deisogenize)(s,mtos,p,0,0,0); - crypton_gf_serialize(ser,s,0); + gf s,ie1,ie2; + API_NS(deisogenize)(s,ie1,ie2,p,0,0,0); + crypton_gf_serialize(ser,s); } crypton_decaf_error_t API_NS(point_decode) ( @@ -238,89 +252,54 @@ const unsigned char ser[SER_BYTES], crypton_decaf_bool_t allow_identity ) { - gf s, a, b, c, d, e, f; + gf s, s2, num, tmp; + crypton_gf_s *tmp2=s2, *ynum=p->z, *isr=p->x, *den=p->t; + mask_t succ = crypton_gf_deserialize(s, ser, 0); - mask_t zero = crypton_gf_eq(s, ZERO); - succ &= bool_to_mask(allow_identity) | ~zero; - crypton_gf_sqr ( a, s ); /* s^2 */ + succ &= bool_to_mask(allow_identity) | ~crypton_gf_eq(s, ZERO); + succ &= ~crypton_gf_lobit(s); + + crypton_gf_sqr(s2,s); /* s^2 = -as^2 */ #if IMAGINE_TWIST - crypton_gf_sub ( f, ONE, a ); /* f = 1-as^2 = 1-s^2*/ -#else - crypton_gf_add ( f, ONE, a ); /* f = 1-as^2 = 1+s^2 */ + crypton_gf_sub(s2,ZERO,s2); /* -as^2 */ #endif - succ &= ~ crypton_gf_eq( f, ZERO ); - crypton_gf_sqr ( b, f ); /* (1-as^2)^2 = 1 - 2as^2 + a^2 s^4 */ - crypton_gf_mulw ( c, a, 4*IMAGINE_TWIST-4*EDWARDS_D ); - crypton_gf_add ( c, c, b ); /* t^2 = 1 + (2a-4d) s^2 + s^4 */ - crypton_gf_mul ( d, f, s ); /* s * (1-as^2) for denoms */ - crypton_gf_sqr ( e, d ); /* s^2 * (1-as^2)^2 */ - crypton_gf_mul ( b, c, e ); /* t^2 * s^2 * (1-as^2)^2 */ + crypton_gf_sub(den,ONE,s2); /* 1+as^2 */ + crypton_gf_add(ynum,ONE,s2); /* 1-as^2 */ + crypton_gf_mulw(num,s2,-4*TWISTED_D); + crypton_gf_sqr(tmp,den); /* tmp = den^2 */ + crypton_gf_add(num,tmp,num); /* num = den^2 - 4*d*s^2 */ + crypton_gf_mul(tmp2,num,tmp); /* tmp2 = num*den^2 */ + succ &= crypton_gf_isr(isr,tmp2); /* isr = 1/sqrt(num*den^2) */ + crypton_gf_mul(tmp,isr,den); /* isr*den */ + crypton_gf_mul(p->y,tmp,ynum); /* isr*den*(1-as^2) */ + crypton_gf_mul(tmp2,tmp,s); /* s*isr*den */ + crypton_gf_add(tmp2,tmp2,tmp2); /* 2*s*isr*den */ + crypton_gf_mul(tmp,tmp2,isr); /* 2*s*isr^2*den */ + crypton_gf_mul(p->x,tmp,num); /* 2*s*isr^2*den*num */ + crypton_gf_mul(tmp,tmp2,RISTRETTO_FACTOR); /* 2*s*isr*den*magic */ + crypton_gf_cond_neg(p->x,crypton_gf_lobit(tmp)); /* flip x */ - succ &= crypton_gf_isr(e,b) | crypton_gf_eq(b,ZERO); /* e = 1/(t s (1-as^2)) */ - crypton_gf_mul ( b, e, d ); /* 1 / t */ - crypton_gf_mul ( d, e, c ); /* t / (s(1-as^2)) */ - crypton_gf_mul ( e, d, f ); /* t / s */ - mask_t negtos = crypton_gf_hibit(e); - crypton_gf_cond_neg(b, negtos); - crypton_gf_cond_neg(d, negtos); - -#if IMAGINE_TWIST - crypton_gf_add ( p->z, ONE, a); /* Z = 1+as^2 = 1-s^2 */ -#else - crypton_gf_sub ( p->z, ONE, a); /* Z = 1+as^2 = 1-s^2 */ +#if COFACTOR==8 + /* Additionally check y != 0 and x*y*isomagic nonegative */ + succ &= ~crypton_gf_eq(p->y,ZERO); + crypton_gf_mul(tmp,p->x,p->y); + crypton_gf_mul(tmp2,tmp,RISTRETTO_FACTOR); + succ &= ~crypton_gf_lobit(tmp2); #endif -#if COFACTOR == 8 - crypton_gf_mul ( a, p->z, d); /* t(1+s^2) / s(1-s^2) = 2/xy */ - succ &= ~crypton_gf_lobit(a); /* = ~crypton_gf_hibit(a/2), since crypton_gf_hibit(x) = crypton_gf_lobit(2x) */ -#endif - - crypton_gf_mul ( a, f, b ); /* y = (1-s^2) / t */ - crypton_gf_mul ( p->y, p->z, a ); /* Y = yZ */ #if IMAGINE_TWIST - crypton_gf_add ( b, s, s ); - crypton_gf_mul(p->x, b, SQRT_MINUS_ONE); /* Curve25519 */ -#else - crypton_gf_add ( p->x, s, s ); -#endif - crypton_gf_mul ( p->t, p->x, a ); /* T = 2s (1-as^2)/t */ - -#if UNSAFE_CURVE_HAS_POINTS_AT_INFINITY - /* This can't happen for any of the supported configurations. - * - * If it can happen (because s=1), it's because the curve has points - * at infinity, which means that there may be critical security bugs - * elsewhere in the library. In that case, it's better that you hit - * the assertion in point_valid, which will happen in the test suite - * since it tests s=1. - * - * This debugging option is to allow testing of IMAGINE_TWIST = 0 on - * Ed25519, without hitting that assertion. Don't use it in - * production. - */ - succ &= ~crypton_gf_eq(p->z,ZERO); + crypton_gf_copy(tmp,p->x); + crypton_gf_mul_i(p->x,tmp); #endif + + /* Fill in z and t */ + crypton_gf_copy(p->z,ONE); + crypton_gf_mul(p->t,p->x,p->y); - p->y->limb[0] -= zero; assert(API_NS(point_valid)(p) | ~succ); - return crypton_decaf_succeed_if(mask_to_bool(succ)); } -#if IMAGINE_TWIST -#define TWISTED_D (-(EDWARDS_D)) -#else -#define TWISTED_D ((EDWARDS_D)-1) -#endif - -#if TWISTED_D < 0 -#define EFF_D (-(TWISTED_D)) -#define NEG_D 1 -#else -#define EFF_D TWISTED_D -#define NEG_D 0 -#endif - void API_NS(point_sub) ( point_t p, const point_t q, @@ -563,6 +542,7 @@ const point_t b, const scalar_t scalar ) { + const int WINDOW = CRYPTON_DECAF_WINDOW_BITS, WINDOW_MASK = (1<> 1, @@ -573,7 +553,7 @@ API_NS(scalar_halve)(scalar1x,scalar1x); /* Set up a precomputed table with odd multiples of b. */ - pniels_t pn, multiples[NTABLE]; + pniels_t pn, multiples[1<<((int)(CRYPTON_DECAF_WINDOW_BITS)-1)]; // == NTABLE (MSVC compatibility issue) point_t tmp; prepare_fixed_window(multiples, b, NTABLE); @@ -624,12 +604,13 @@ const scalar_t scalarb, const point_t c, const scalar_t scalarc -) { +) { + const int WINDOW = CRYPTON_DECAF_WINDOW_BITS, WINDOW_MASK = (1<> 1, NTABLE = 1<<(WINDOW-1); - + scalar_t scalar1x, scalar2x; API_NS(scalar_add)(scalar1x, scalarb, point_scalarmul_adjustment); API_NS(scalar_halve)(scalar1x,scalar1x); @@ -637,9 +618,10 @@ API_NS(scalar_halve)(scalar2x,scalar2x); /* Set up a precomputed table with odd multiples of b. */ - pniels_t pn, multiples1[NTABLE], multiples2[NTABLE]; + pniels_t pn, multiples1[1<<((int)(CRYPTON_DECAF_WINDOW_BITS)-1)], multiples2[1<<((int)(CRYPTON_DECAF_WINDOW_BITS)-1)]; + // Array size above equal NTABLE (MSVC compatibility issue) point_t tmp; - prepare_fixed_window(multiples1, b, NTABLE); + prepare_fixed_window(multiples1, b, NTABLE); prepare_fixed_window(multiples2, c, NTABLE); /* Initialize. */ @@ -701,11 +683,13 @@ const scalar_t scalar1, const scalar_t scalar2 ) { + const int WINDOW = CRYPTON_DECAF_WINDOW_BITS, WINDOW_MASK = (1<> 1, NTABLE = 1<<(WINDOW-1); - + + scalar_t scalar1x, scalar2x; API_NS(scalar_add)(scalar1x, scalar1, point_scalarmul_adjustment); API_NS(scalar_halve)(scalar1x,scalar1x); @@ -713,7 +697,9 @@ API_NS(scalar_halve)(scalar2x,scalar2x); /* Set up a precomputed table with odd multiples of b. */ - point_t multiples1[NTABLE], multiples2[NTABLE], working, tmp; + point_t multiples1[1<<((int)(CRYPTON_DECAF_WINDOW_BITS)-1)], multiples2[1<<((int)(CRYPTON_DECAF_WINDOW_BITS)-1)], working, tmp; + // Array sizes above equal NTABLE (MSVC compatibility issue) + pniels_t pn; API_NS(point_copy)(working, b); @@ -801,7 +787,7 @@ crypton_gf_mul ( b, q->y, p->x ); mask_t succ = crypton_gf_eq(a,b); - #if (COFACTOR == 8) && IMAGINE_TWIST + #if (COFACTOR == 8) crypton_gf_mul ( a, p->y, q->y ); crypton_gf_mul ( b, q->x, p->x ); #if !(IMAGINE_TWIST) @@ -936,11 +922,11 @@ const unsigned int n = COMBS_N, t = COMBS_T, s = COMBS_S; assert(n*t*s >= SCALAR_BITS); - point_t working, start, doubles[t-1]; + point_t working, start, doubles[COMBS_T-1]; API_NS(point_copy)(working, base); pniels_t pn_tmp; - gf zs[n<<(t-1)], zis[n<<(t-1)]; + gf zs[(unsigned int)(COMBS_N)<<(unsigned int)(COMBS_T-1)], zis[(unsigned int)(COMBS_N)<<(unsigned int)(COMBS_T-1)]; unsigned int i,j,k; @@ -1078,7 +1064,7 @@ return succ; } -void API_NS(point_mul_by_cofactor_and_encode_like_eddsa) ( +void API_NS(point_mul_by_ratio_and_encode_like_eddsa) ( uint8_t enc[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES], const point_t p ) { @@ -1116,15 +1102,20 @@ crypton_gf_mul ( y, u, t ); // (x^2+y^2)(2z^2-y^2+x^2) crypton_gf_mul ( u, z, t ); crypton_gf_copy( z, u ); - crypton_gf_mul ( u, x, SQRT_ONE_MINUS_D ); + crypton_gf_mul ( u, x, RISTRETTO_FACTOR ); +#if IMAGINE_TWIST + crypton_gf_mul_i( x, u ); +#else +#error "... probably wrong" crypton_gf_copy( x, u ); +#endif crypton_decaf_bzero(u,sizeof(u)); } #elif IMAGINE_TWIST { API_NS(point_double)(q,q); API_NS(point_double)(q,q); - crypton_gf_mul_qnr(x, q->x); + crypton_gf_mul_i(x, q->x); crypton_gf_copy(y, q->y); crypton_gf_copy(z, q->z); } @@ -1137,7 +1128,7 @@ crypton_gf_add( u, x, t ); crypton_gf_add( z, q->y, q->x ); crypton_gf_sqr ( y, z); - crypton_gf_sub ( y, u, y ); + crypton_gf_sub ( y, y, u ); crypton_gf_sub ( z, t, x ); crypton_gf_sqr ( x, q->z ); crypton_gf_add ( t, x, x); @@ -1155,7 +1146,7 @@ /* Encode */ enc[CRYPTON_DECAF_EDDSA_448_PRIVATE_BYTES-1] = 0; - crypton_gf_serialize(enc, x, 1); + crypton_gf_serialize(enc, x); enc[CRYPTON_DECAF_EDDSA_448_PRIVATE_BYTES-1] |= 0x80 & crypton_gf_lobit(t); crypton_decaf_bzero(x,sizeof(x)); @@ -1166,7 +1157,7 @@ } -crypton_decaf_error_t API_NS(point_decode_like_eddsa_and_ignore_cofactor) ( +crypton_decaf_error_t API_NS(point_decode_like_eddsa_and_mul_by_ratio) ( point_t p, const uint8_t enc[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES] ) { @@ -1176,7 +1167,7 @@ mask_t low = ~word_is_zero(enc2[CRYPTON_DECAF_EDDSA_448_PRIVATE_BYTES-1] & 0x80); enc2[CRYPTON_DECAF_EDDSA_448_PRIVATE_BYTES-1] &= ~0x80; - mask_t succ = crypton_gf_deserialize(p->y, enc2, 1); + mask_t succ = crypton_gf_deserialize(p->y, enc2, 0); #if 0 == 0 succ &= word_is_zero(enc2[CRYPTON_DECAF_EDDSA_448_PRIVATE_BYTES-1]); #endif @@ -1196,7 +1187,7 @@ succ &= crypton_gf_isr(p->t,p->x); /* 1/sqrt(num * denom) */ crypton_gf_mul(p->x,p->t,p->z); /* sqrt(num / denom) */ - crypton_gf_cond_neg(p->x,~crypton_gf_lobit(p->x)^low); + crypton_gf_cond_neg(p->x,crypton_gf_lobit(p->x)^low); crypton_gf_copy(p->z,ONE); #if EDDSA_USE_SIGMA_ISOGENY @@ -1221,8 +1212,9 @@ crypton_gf_sub ( p->t, a, c ); // y^2 - x^2 crypton_gf_sqr ( p->x, p->z ); crypton_gf_add ( p->z, p->x, p->x ); - crypton_gf_sub ( a, p->z, p->t ); // 2z^2 - y^2 + x^2 - crypton_gf_mul ( c, a, SQRT_ONE_MINUS_D ); + crypton_gf_sub ( c, p->z, p->t ); // 2z^2 - y^2 + x^2 + crypton_gf_div_i ( a, c ); + crypton_gf_mul ( c, a, RISTRETTO_FACTOR ); crypton_gf_mul ( p->x, b, p->t); // (2xy)(y^2-x^2) crypton_gf_mul ( p->z, p->t, c ); // (y^2-x^2)sd(2z^2 - y^2 + x^2) crypton_gf_mul ( p->y, d, c ); // (y^2+x^2)sd(2z^2 - y^2 + x^2) @@ -1265,6 +1257,7 @@ crypton_decaf_bzero(enc2,sizeof(enc2)); assert(API_NS(point_valid)(p) || ~succ); + return crypton_decaf_succeed_if(mask_to_bool(succ)); } @@ -1274,7 +1267,7 @@ const uint8_t scalar[X_PRIVATE_BYTES] ) { gf x1, x2, z2, x3, z3, t1, t2; - ignore_result(crypton_gf_deserialize(x1,base,1)); + ignore_result(crypton_gf_deserialize(x1,base,0)); crypton_gf_copy(x2,ONE); crypton_gf_copy(z2,ZERO); crypton_gf_copy(x3,x1); @@ -1290,8 +1283,7 @@ if (t/8==0) sb &= -(uint8_t)COFACTOR; else if (t == X_PRIVATE_BITS-1) sb = -1; - mask_t k_t = (sb>>(t%8)) & 1; - k_t = -k_t; /* set to all 0s or all 1s */ + mask_t k_t = bit_to_mask((sb>>(t%8)) & 1); swap ^= k_t; crypton_gf_cond_swap(x2,x3,swap); @@ -1325,7 +1317,7 @@ crypton_gf_cond_swap(z2,z3,swap); crypton_gf_invert(z2,z2,0); crypton_gf_mul(x1,x2,z2); - crypton_gf_serialize(out,x1,1); + crypton_gf_serialize(out,x1); mask_t nz = ~crypton_gf_eq(x1,ZERO); crypton_decaf_bzero(x1,sizeof(x1)); @@ -1345,15 +1337,8 @@ const uint8_t ed[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES] ) { gf y; - { - uint8_t enc2[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES]; - memcpy(enc2,ed,sizeof(enc2)); - - /* retrieve y from the ed compressed point */ - enc2[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES-1] &= ~0x80; - ignore_result(crypton_gf_deserialize(y, enc2, 0)); - crypton_decaf_bzero(enc2,sizeof(enc2)); - } + const uint8_t mask = (uint8_t)(0xFE<<(7)); + ignore_result(crypton_gf_deserialize(y, ed, mask)); { gf n,d; @@ -1364,7 +1349,7 @@ crypton_gf_sub(d, ONE, y); /* d = 1-y */ crypton_gf_invert(d, d, 0); /* d = 1/(1-y) */ crypton_gf_mul(y, n, d); /* u = (y+1)/(1-y) */ - crypton_gf_serialize(x,y,1); + crypton_gf_serialize(x,y); #else /* EDDSA_USE_SIGMA_ISOGENY */ /* u = y^2 * (1-dy^2) / (1-y^2) */ crypton_gf_sqr(n,y); /* y^2*/ @@ -1374,7 +1359,7 @@ crypton_gf_mulw(d,n,EDWARDS_D); /* dy^2*/ crypton_gf_sub(d, ONE, d); /* 1-dy^2*/ crypton_gf_mul(n, y, d); /* y^2 * (1-dy^2) / (1-y^2) */ - crypton_gf_serialize(x,n,1); + crypton_gf_serialize(x,n); #endif /* EDDSA_USE_SIGMA_ISOGENY */ crypton_decaf_bzero(y,sizeof(y)); @@ -1390,6 +1375,26 @@ crypton_decaf_x448_derive_public_key(out,scalar); } +void API_NS(point_mul_by_ratio_and_encode_like_x448) ( + uint8_t out[X_PUBLIC_BYTES], + const point_t p +) { + point_t q; +#if COFACTOR == 8 + point_double_internal(q,p,1); +#else + API_NS(point_copy)(q,p); +#endif + crypton_gf_invert(q->t,q->x,0); /* 1/x */ + crypton_gf_mul(q->z,q->t,q->y); /* y/x */ + crypton_gf_sqr(q->y,q->z); /* (y/x)^2 */ +#if IMAGINE_TWIST + crypton_gf_sub(q->y,ZERO,q->y); +#endif + crypton_gf_serialize(out,q->y); + API_NS(point_destroy(q)); +} + void crypton_decaf_x448_derive_public_key ( uint8_t out[X_PUBLIC_BYTES], const uint8_t scalar[X_PRIVATE_BYTES] @@ -1399,45 +1404,19 @@ memcpy(scalar2,scalar,sizeof(scalar2)); scalar2[0] &= -(uint8_t)COFACTOR; - scalar2[X_PRIVATE_BYTES-1] &= ~(-1u<<((X_PRIVATE_BITS+7)%8)); + scalar2[X_PRIVATE_BYTES-1] &= ~(0xFF<<((X_PRIVATE_BITS+7)%8)); scalar2[X_PRIVATE_BYTES-1] |= 1<<((X_PRIVATE_BITS+7)%8); scalar_t the_scalar; API_NS(scalar_decode_long)(the_scalar,scalar2,sizeof(scalar2)); - /* We're gonna isogenize by 2, so divide by 2. - * - * Why by 2, even though it's a 4-isogeny? - * - * The isogeny map looks like - * Montgomery <-2-> Jacobi <-2-> Edwards - * - * Since the Jacobi base point is the PREimage of the iso to - * the Montgomery curve, and we're going - * Jacobi -> Edwards -> Jacobi -> Montgomery, - * we pick up only a factor of 2 over Jacobi -> Montgomery. - */ - API_NS(scalar_halve)(the_scalar,the_scalar); + /* Compensate for the encoding ratio */ + for (unsigned i=1; it,p->x,0); /* 1/x */ - crypton_gf_mul(p->z,p->t,p->y); /* y/x */ - crypton_gf_sqr(p->y,p->z); /* (y/x)^2 */ -#if IMAGINE_TWIST - crypton_gf_sub(p->y,ZERO,p->y); -#endif - crypton_gf_serialize(out,p->y,1); - - crypton_decaf_bzero(scalar2,sizeof(scalar2)); - API_NS(scalar_destroy)(the_scalar); + API_NS(point_mul_by_ratio_and_encode_like_x448)(out,p); API_NS(point_destroy)(p); } @@ -1483,7 +1462,10 @@ uint32_t pos = __builtin_ctz((uint32_t)current), odd = (uint32_t)current >> pos; int32_t delta = odd & mask; if (odd & 1<<(table_bits+1)) delta -= (1<<(table_bits+1)); - current -= delta << pos; + /* delta is negative half the time and shifting a negative + * value left is undefined; current is unsigned, so the shift is + * done there and means the same thing. */ + current -= (uint64_t)delta << pos; control[position].power = pos + 16*(w-1); control[position].addend = delta; position--; @@ -1566,13 +1548,13 @@ ) { const int table_bits_var = CRYPTON_DECAF_WNAF_VAR_TABLE_BITS, table_bits_pre = CRYPTON_DECAF_WNAF_FIXED_TABLE_BITS; - struct smvt_control control_var[SCALAR_BITS/(table_bits_var+1)+3]; - struct smvt_control control_pre[SCALAR_BITS/(table_bits_pre+1)+3]; + struct smvt_control control_var[SCALAR_BITS/((int)(CRYPTON_DECAF_WNAF_VAR_TABLE_BITS)+1)+3]; + struct smvt_control control_pre[SCALAR_BITS/((int)(CRYPTON_DECAF_WNAF_FIXED_TABLE_BITS)+1)+3]; int ncb_pre = recode_wnaf(control_pre, scalar1, table_bits_pre); int ncb_var = recode_wnaf(control_var, scalar2, table_bits_var); - pniels_t precmp_var[1<privkey, privkey, CRYPTON_DECAF_EDDSA_448_PRIVATE_BYTES); + crypton_decaf_ed448_derive_public_key(keypair->pubkey, keypair->privkey); +} + +void crypton_decaf_ed448_keypair_extract_public_key ( + uint8_t pubkey[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES], + const crypton_decaf_eddsa_448_keypair_t keypair +) { + memcpy(pubkey,keypair->pubkey,CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES); +} + +void crypton_decaf_ed448_keypair_extract_private_key ( + uint8_t privkey[CRYPTON_DECAF_EDDSA_448_PRIVATE_BYTES], + const crypton_decaf_eddsa_448_keypair_t keypair +) { + memcpy(privkey,keypair->privkey,CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES); +} + +void crypton_decaf_ed448_keypair_destroy ( + crypton_decaf_eddsa_448_keypair_t keypair +) { + crypton_decaf_bzero(keypair, sizeof(crypton_decaf_eddsa_448_keypair_t)); +} + +void crypton_decaf_ed448_keypair_sign ( + uint8_t signature[CRYPTON_DECAF_EDDSA_448_SIGNATURE_BYTES], + const crypton_decaf_eddsa_448_keypair_t keypair, + const uint8_t *message, + size_t message_len, + uint8_t prehashed, + const uint8_t *context, + uint8_t context_len +) { + crypton_decaf_ed448_sign_internal(signature,keypair->privkey,keypair->pubkey,message, + message_len,prehashed,context,context_len); +} + +void crypton_decaf_ed448_keypair_sign_prehash ( + uint8_t signature[CRYPTON_DECAF_EDDSA_448_SIGNATURE_BYTES], + const crypton_decaf_eddsa_448_keypair_t keypair, + const crypton_decaf_ed448_prehash_ctx_t hash, + const uint8_t *context, + uint8_t context_len +) { + uint8_t hash_output[EDDSA_PREHASH_BYTES]; + { + crypton_decaf_ed448_prehash_ctx_t hash_too; + memcpy(hash_too,hash,sizeof(hash_too)); + hash_final(hash_too,hash_output,sizeof(hash_output)); + hash_destroy(hash_too); + } + + crypton_decaf_ed448_sign_internal(signature,keypair->privkey,keypair->pubkey,hash_output, + sizeof(hash_output),1,context,context_len); + crypton_decaf_bzero(hash_output,sizeof(hash_output)); +} + crypton_decaf_error_t crypton_decaf_ed448_verify ( const uint8_t signature[CRYPTON_DECAF_EDDSA_448_SIGNATURE_BYTES], const uint8_t pubkey[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES], @@ -259,10 +342,10 @@ uint8_t context_len ) { API_NS(point_t) pk_point, r_point; - crypton_decaf_error_t error = API_NS(point_decode_like_eddsa_and_ignore_cofactor)(pk_point,pubkey); + crypton_decaf_error_t error = API_NS(point_decode_like_eddsa_and_mul_by_ratio)(pk_point,pubkey); if (CRYPTON_DECAF_SUCCESS != error) { return error; } - error = API_NS(point_decode_like_eddsa_and_ignore_cofactor)(r_point,signature); + error = API_NS(point_decode_like_eddsa_and_mul_by_ratio)(r_point,signature); if (CRYPTON_DECAF_SUCCESS != error) { return error; } API_NS(scalar_t) challenge_scalar; @@ -282,16 +365,27 @@ API_NS(scalar_sub)(challenge_scalar, API_NS(scalar_zero), challenge_scalar); API_NS(scalar_t) response_scalar; - API_NS(scalar_decode_long)( + error = API_NS(scalar_decode)( response_scalar, - &signature[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES], - CRYPTON_DECAF_EDDSA_448_PRIVATE_BYTES + &signature[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES] ); -#if EDDSA_BASE_POINT_RATIO == 2 - API_NS(scalar_add)(response_scalar,response_scalar,response_scalar); + if (CRYPTON_DECAF_SUCCESS != error) { return error; } + +#if CRYPTON_DECAF_448_SCALAR_BYTES < CRYPTON_DECAF_EDDSA_448_PRIVATE_BYTES + for (unsigned i = CRYPTON_DECAF_448_SCALAR_BYTES; + i < CRYPTON_DECAF_EDDSA_448_PRIVATE_BYTES; + i++) { + if (signature[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES+i] != 0x00) { + return CRYPTON_DECAF_FAILURE; + } + } #endif + for (unsigned c=1; climb[i]; - out->limb[i] = chain; + out->limb[i] = (crypton_decaf_word_t)chain; chain >>= WBITS; } - crypton_decaf_word_t borrow = chain+extra; /* = 0 or -1 */ + crypton_decaf_word_t borrow = (crypton_decaf_word_t)chain+extra; /* = 0 or -1 */ chain = 0; for (i=0; ilimb[i]) + (p->limb[i] & borrow); - out->limb[i] = chain; + out->limb[i] = (crypton_decaf_word_t)chain; chain >>= WBITS; } } @@ -77,22 +77,22 @@ crypton_decaf_dword_t chain = 0; for (j=0; j>= WBITS; } - accum[j] = chain; + accum[j] = (crypton_decaf_word_t)chain; mand = accum[0] * MONTGOMERY_FACTOR; chain = 0; mier = sc_p->limb; for (j=0; j>= WBITS; } chain += accum[j]; chain += hi_carry; - accum[j-1] = chain; + accum[j-1] = (crypton_decaf_word_t)chain; hi_carry = chain >> WBITS; } @@ -121,7 +121,7 @@ * Sliding window is fine here because the modulus isn't secret. */ const int SCALAR_WINDOW_BITS = 3; - scalar_t precmp[1<limb[i]) + b->limb[i]; - out->limb[i] = chain; + out->limb[i] = (crypton_decaf_word_t)chain; chain >>= WBITS; } - sc_subx(out, out->limb, sc_p, sc_p, chain); + sc_subx(out, out->limb, sc_p, sc_p, (crypton_decaf_word_t)chain); } void @@ -204,7 +204,7 @@ memset(out,0,sizeof(scalar_t)); unsigned int i = 0; for (; ilimb[i] = w; + out->limb[i] = (crypton_decaf_word_t)w; #if CRYPTON_DECAF_WORD_BITS < 64 w >>= 8*sizeof(crypton_decaf_word_t); #endif @@ -227,7 +227,7 @@ static CRYPTON_DECAF_INLINE void scalar_decode_short ( scalar_t s, const unsigned char *ser, - unsigned int nbytes + size_t nbytes ) { unsigned int i,j,k=0; for (i=0; ilimb[0] & 1); + crypton_decaf_word_t mask = bit_to_mask((a->limb[0]) & 1); crypton_decaf_dword_t chain = 0; unsigned int i; for (i=0; ilimb[i]) + (sc_p->limb[i] & mask); - out->limb[i] = chain; + out->limb[i] = (crypton_decaf_word_t)chain; chain >>= CRYPTON_DECAF_WORD_BITS; } for (i=0; ilimb[i] = out->limb[i]>>1 | out->limb[i+1]<<(WBITS-1); } - out->limb[i] = out->limb[i]>>1 | chain<<(WBITS-1); + out->limb[i] = out->limb[i]>>1 | (crypton_decaf_word_t)(chain<<(WBITS-1)); } diff --git a/cbits/decaf/include/arch_32/arch_intrinsics.h b/cbits/decaf/include/arch_32/arch_intrinsics.h --- a/cbits/decaf/include/arch_32/arch_intrinsics.h +++ b/cbits/decaf/include/arch_32/arch_intrinsics.h @@ -7,6 +7,11 @@ #define ARCH_WORD_BITS 32 +#if defined _MSC_VER +#define __attribute(x) +#define __inline__ __inline +#endif // MSVC + static __inline__ __attribute((always_inline,unused)) uint32_t word_is_zero(uint32_t a) { /* let's hope the compiler isn't clever enough to optimize this. */ diff --git a/cbits/decaf/include/decaf/common.h b/cbits/decaf/include/decaf/common.h --- a/cbits/decaf/include/decaf/common.h +++ b/cbits/decaf/include/decaf/common.h @@ -13,7 +13,9 @@ #define __CRYPTON_DECAF_COMMON_H__ 1 #include +#if defined (__GNUC__) // File only exists for GNU compilers #include +#endif #ifdef __cplusplus extern "C" { @@ -21,14 +23,35 @@ /* Goldilocks' build flags default to hidden and stripping executables. */ /** @cond internal */ -#if defined(DOXYGEN) && !defined(__attribute__) -#define __attribute__((x)) +#if DOXYGEN || defined(__attribute__) +#define __attribute__(x) +#define NOINLINE #endif + +/* Aliasing MSVC preprocessing to GNU preprocessing */ +#if defined _MSC_VER +# define __attribute__(x) // Turn off attribute code +# define __attribute(x) +# define __restrict__ __restrict // Use MSVC restrict code +# if defined _DLL +# define CRYPTON_DECAF_API_VIS __declspec(dllexport) // MSVC for visibility +# else +# define CRYPTON_DECAF_API_VIS __declspec(dllimport) +# endif + +//# define CRYPTON_DECAF_NOINLINE __declspec(noinline) // MSVC for noinline +//# define CRYPTON_DECAF_INLINE __forceinline // MSVC for always inline +//# define CRYPTON_DECAF_WARN_UNUSED _Check_return_ +#else // MSVC #define CRYPTON_DECAF_API_VIS __attribute__((visibility("default"))) +#define CRYPTON_DECAF_API_IMPORT +#endif + +// The following are disabled for MSVC #define CRYPTON_DECAF_NOINLINE __attribute__((noinline)) -#define CRYPTON_DECAF_WARN_UNUSED __attribute__((warn_unused_result)) -#define CRYPTON_DECAF_NONNULL __attribute__((nonnull)) #define CRYPTON_DECAF_INLINE inline __attribute__((always_inline,unused)) +#define CRYPTON_DECAF_WARN_UNUSED __attribute__((warn_unused_result)) +#define CRYPTON_DECAF_NONNULL __attribute__((nonnull)) // Cribbed from libnotmuch #if defined (__clang_major__) && __clang_major__ >= 3 \ || defined (__GNUC__) && __GNUC__ >= 5 \ @@ -70,8 +93,25 @@ #error "Only supporting CRYPTON_DECAF_WORD_BITS = 32 or 64 for now" #endif -/** CRYPTON_DECAF_TRUE = -1 so that CRYPTON_DECAF_TRUE & x = x */ -static const crypton_decaf_bool_t CRYPTON_DECAF_TRUE = -(crypton_decaf_bool_t)1; +/* MSCV compiler doesn't like the trick to have -1 assigned to an unsigned int to + * set it to all ones, so do it openly */ +#if CRYPTON_DECAF_WORD_BITS == 64 +/** CRYPTON_DECAF_TRUE = all ones so that CRYPTON_DECAF_TRUE & x = x */ +static const crypton_decaf_bool_t CRYPTON_DECAF_TRUE = (crypton_decaf_bool_t)0xFFFFFFFFFFFFFFFF; +/** CRYPTON_DECAF_WORD_ALL_SET : all ones */ +static const crypton_decaf_word_t CRYPTON_DECAF_WORD_ALL_SET = (crypton_decaf_word_t)0xFFFFFFFFFFFFFFFF; +/** CRYPTON_DECAF_WORD_ALL_UNSET : all zeros */ +static const crypton_decaf_word_t CRYPTON_DECAF_WORD_ALL_UNSET = (crypton_decaf_word_t)0x0; +#elif CRYPTON_DECAF_WORD_BITS == 32 /**< The number of bits in a word */ +/** CRYPTON_DECAF_TRUE = all ones so that CRYPTON_DECAF_TRUE & x = x */ +static const crypton_decaf_bool_t CRYPTON_DECAF_TRUE = (crypton_decaf_bool_t)0xFFFFFFFF; +/** CRYPTON_DECAF_WORD_ALL_SET : all ones */ +static const crypton_decaf_word_t CRYPTON_DECAF_WORD_ALL_SET = (crypton_decaf_word_t)0xFFFFFFFF; +/** CRYPTON_DECAF_WORD_ALL_UNSET : all zeros */ +static const crypton_decaf_word_t CRYPTON_DECAF_WORD_ALL_UNSET = (crypton_decaf_word_t)0x0; +#else +#error "Only supporting CRYPTON_DECAF_WORD_BITS = 32 or 64 for now" +#endif /** CRYPTON_DECAF_FALSE = 0 so that CRYPTON_DECAF_FALSE & x = 0 */ static const crypton_decaf_bool_t CRYPTON_DECAF_FALSE = 0; @@ -92,22 +132,23 @@ /** Return CRYPTON_DECAF_TRUE iff x == CRYPTON_DECAF_SUCCESS */ static CRYPTON_DECAF_INLINE crypton_decaf_bool_t crypton_decaf_successful(crypton_decaf_error_t e) { - crypton_decaf_dword_t w = ((crypton_decaf_word_t)e) ^ ((crypton_decaf_word_t)CRYPTON_DECAF_SUCCESS); + crypton_decaf_word_t succ = CRYPTON_DECAF_SUCCESS; + crypton_decaf_dword_t w = ((crypton_decaf_word_t)e) ^ succ; return (w-1)>>CRYPTON_DECAF_WORD_BITS; } /** Overwrite data with zeros. Uses memset_s if available. */ -void crypton_decaf_bzero ( +void CRYPTON_DECAF_API_VIS crypton_decaf_bzero ( void *data, size_t size -) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_API_VIS; +) CRYPTON_DECAF_NONNULL; /** Compare two buffers, returning CRYPTON_DECAF_TRUE if they are equal. */ -crypton_decaf_bool_t crypton_decaf_memeq ( +crypton_decaf_bool_t CRYPTON_DECAF_API_VIS crypton_decaf_memeq ( const void *data1, const void *data2, size_t size -) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_WARN_UNUSED CRYPTON_DECAF_API_VIS; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_WARN_UNUSED; #ifdef __cplusplus } /* extern "C" */ diff --git a/cbits/decaf/include/decaf/ed448.h b/cbits/decaf/include/decaf/ed448.h --- a/cbits/decaf/include/decaf/ed448.h +++ b/cbits/decaf/include/decaf/ed448.h @@ -33,14 +33,45 @@ #define CRYPTON_DECAF_EDDSA_448_SIGNATURE_BYTES (CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES + CRYPTON_DECAF_EDDSA_448_PRIVATE_BYTES) /** Does EdDSA support non-contextual signatures? */ +#if defined _MSC_VER /* Different syntax for exposing API */ #define CRYPTON_DECAF_EDDSA_448_SUPPORTS_CONTEXTLESS_SIGS 0 -/** Prehash context renaming macros. */ +#else +#define CRYPTON_DECAF_EDDSA_448_SUPPORTS_CONTEXTLESS_SIGS 0 + +#endif + +/** Prehash context (raw), because each EdDSA instance has a different prehash. */ #define crypton_decaf_ed448_prehash_ctx_s crypton_decaf_shake256_ctx_s + +/** Prehash context, array[1] form. */ #define crypton_decaf_ed448_prehash_ctx_t crypton_decaf_shake256_ctx_t + +/** Prehash update. */ #define crypton_decaf_ed448_prehash_update crypton_decaf_shake256_update + +/** Prehash destroy. */ #define crypton_decaf_ed448_prehash_destroy crypton_decaf_shake256_destroy +/** EdDSA encoding ratio. */ +#define CRYPTON_DECAF_448_EDDSA_ENCODE_RATIO 4 + +/** EdDSA decoding ratio. */ +#define CRYPTON_DECAF_448_EDDSA_DECODE_RATIO (4 / 4) + +#ifndef CRYPTON_DECAF_EDDSA_NON_KEYPAIR_API_IS_DEPRECATED +/** If 1, add deprecation attribute to non-keypair API functions. Now deprecated. */ +#define CRYPTON_DECAF_EDDSA_NON_KEYPAIR_API_IS_DEPRECATED 1 +#endif + +/** @cond internal */ +/** @brief Scheduled EdDSA keypair */ +typedef struct crypton_decaf_eddsa_448_keypair_s { + uint8_t privkey[CRYPTON_DECAF_EDDSA_448_PRIVATE_BYTES]; + uint8_t pubkey[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES]; +} crypton_decaf_eddsa_448_keypair_s, crypton_decaf_eddsa_448_keypair_t[1]; +/** @endcond */ + /** * @brief EdDSA key generation. This function uses a different (non-Decaf) * encoding. @@ -48,14 +79,60 @@ * @param [out] pubkey The public key. * @param [in] privkey The private key. */ -void crypton_decaf_ed448_derive_public_key ( +void CRYPTON_DECAF_API_VIS crypton_decaf_ed448_derive_public_key ( uint8_t pubkey[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES], const uint8_t privkey[CRYPTON_DECAF_EDDSA_448_PRIVATE_BYTES] -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** - * @brief EdDSA signing. + * @brief EdDSA keypair scheduling. This is to add a safer version of the signing algorithm, + * where it is harder to use the wrong pubkey for your private key.. * + * @param [out] keypair The scheduled keypair. + * @param [in] privkey The private key. + */ +void CRYPTON_DECAF_API_VIS crypton_decaf_ed448_derive_keypair ( + crypton_decaf_eddsa_448_keypair_t keypair, + const uint8_t privkey[CRYPTON_DECAF_EDDSA_448_PRIVATE_BYTES] +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; + +/** + * @brief Extract the public key from an EdDSA keypair. + * + * @param [out] pubkey The public key. + * @param [in] keypair The keypair. + */ +void CRYPTON_DECAF_API_VIS crypton_decaf_ed448_keypair_extract_public_key ( + uint8_t pubkey[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES], + const crypton_decaf_eddsa_448_keypair_t keypair +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; + +/** + * @brief Extract the private key from an EdDSA keypair. + * + * @param [out] privkey The private key. + * @param [in] keypair The keypair. + */ +void CRYPTON_DECAF_API_VIS crypton_decaf_ed448_keypair_extract_private_key ( + uint8_t privkey[CRYPTON_DECAF_EDDSA_448_PRIVATE_BYTES], + const crypton_decaf_eddsa_448_keypair_t keypair +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; + +/** + * @brief EdDSA keypair destructor. + * @param [in] pubkey The keypair. + */ +void CRYPTON_DECAF_API_VIS crypton_decaf_ed448_keypair_destroy ( + crypton_decaf_eddsa_448_keypair_t keypair +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; + +/** + * @brief EdDSA signing. However, this API is deprecated because it isn't safe: if the wrong + * public key is passed, it would reveal the private key. Instead, this function checks that + * the public key is correct, and otherwise aborts. + * + * @deprecated Use CRYPTON_DECAF_API_VIS crypton_decaf_ed448_keypair_sign instead. + * * @param [out] signature The signature. * @param [in] privkey The private key. * @param [in] pubkey The public key. @@ -70,7 +147,7 @@ * safe. The C++ wrapper is designed to make it harder to screw this up, but this C code gives * you no seat belt. */ -void crypton_decaf_ed448_sign ( +void CRYPTON_DECAF_API_VIS crypton_decaf_ed448_sign ( uint8_t signature[CRYPTON_DECAF_EDDSA_448_SIGNATURE_BYTES], const uint8_t privkey[CRYPTON_DECAF_EDDSA_448_PRIVATE_BYTES], const uint8_t pubkey[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES], @@ -79,40 +156,85 @@ uint8_t prehashed, const uint8_t *context, uint8_t context_len -) CRYPTON_DECAF_API_VIS __attribute__((nonnull(1,2,3))) CRYPTON_DECAF_NOINLINE; +) __attribute__((nonnull(1,2,3))) CRYPTON_DECAF_NOINLINE +#if CRYPTON_DECAF_EDDSA_NON_KEYPAIR_API_IS_DEPRECATED + CRYPTON_DECAF_DEPRECATED("Passing the pubkey and privkey separately is unsafe, use crypton_decaf_ed448_keypair_sign") +#endif +; /** - * @brief EdDSA signing with prehash. + * @brief EdDSA signing with prehash. However, this API is deprecated because it isn't safe: if the wrong + * public key is passed, it would reveal the private key. Instead, this function checks that + * the public key is correct, and otherwise aborts. * + * @deprecated Use CRYPTON_DECAF_API_VIS crypton_decaf_ed448_keypair_sign_prehash instead. + * * @param [out] signature The signature. * @param [in] privkey The private key. * @param [in] pubkey The public key. * @param [in] hash The hash of the message. This object will not be modified by the call. * @param [in] context A "context" for this signature of up to 255 bytes. Must be the same as what was used for the prehash. * @param [in] context_len Length of the context. - * - * @warning For Ed25519, it is unsafe to use the same key for both prehashed and non-prehashed - * messages, at least without some very careful protocol-level disambiguation. For Ed448 it is - * safe. The C++ wrapper is designed to make it harder to screw this up, but this C code gives - * you no seat belt. */ -void crypton_decaf_ed448_sign_prehash ( +void CRYPTON_DECAF_API_VIS crypton_decaf_ed448_sign_prehash ( uint8_t signature[CRYPTON_DECAF_EDDSA_448_SIGNATURE_BYTES], const uint8_t privkey[CRYPTON_DECAF_EDDSA_448_PRIVATE_BYTES], const uint8_t pubkey[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES], const crypton_decaf_ed448_prehash_ctx_t hash, const uint8_t *context, uint8_t context_len -) CRYPTON_DECAF_API_VIS __attribute__((nonnull(1,2,3,4))) CRYPTON_DECAF_NOINLINE; +) __attribute__((nonnull(1,2,3,4))) CRYPTON_DECAF_NOINLINE +#if CRYPTON_DECAF_EDDSA_NON_KEYPAIR_API_IS_DEPRECATED + CRYPTON_DECAF_DEPRECATED("Passing the pubkey and privkey separately is unsafe, use crypton_decaf_ed448_keypair_sign_prehash") +#endif +; + +/** + * @brief EdDSA signing. + * + * @param [out] signature The signature. + * @param [in] keypair The private and public key. + * @param [in] message The message to sign. + * @param [in] message_len The length of the message. + * @param [in] prehashed Nonzero if the message is actually the hash of something you want to sign. + * @param [in] context A "context" for this signature of up to 255 bytes. + * @param [in] context_len Length of the context. + */ +void CRYPTON_DECAF_API_VIS crypton_decaf_ed448_keypair_sign ( + uint8_t signature[CRYPTON_DECAF_EDDSA_448_SIGNATURE_BYTES], + const crypton_decaf_eddsa_448_keypair_t keypair, + const uint8_t *message, + size_t message_len, + uint8_t prehashed, + const uint8_t *context, + uint8_t context_len +) __attribute__((nonnull(1,2,3))) CRYPTON_DECAF_NOINLINE; + +/** + * @brief EdDSA signing with prehash. + * + * @param [out] signature The signature. + * @param [in] keypair The private and public key. + * @param [in] hash The hash of the message. This object will not be modified by the call. + * @param [in] context A "context" for this signature of up to 255 bytes. Must be the same as what was used for the prehash. + * @param [in] context_len Length of the context. + */ +void CRYPTON_DECAF_API_VIS crypton_decaf_ed448_keypair_sign_prehash ( + uint8_t signature[CRYPTON_DECAF_EDDSA_448_SIGNATURE_BYTES], + const crypton_decaf_eddsa_448_keypair_t keypair, + const crypton_decaf_ed448_prehash_ctx_t hash, + const uint8_t *context, + uint8_t context_len +) __attribute__((nonnull(1,2,3,4))) CRYPTON_DECAF_NOINLINE; /** * @brief Prehash initialization, with contexts if supported. * * @param [out] hash The hash object to be initialized. */ -void crypton_decaf_ed448_prehash_init ( +void CRYPTON_DECAF_API_VIS crypton_decaf_ed448_prehash_init ( crypton_decaf_ed448_prehash_ctx_t hash -) CRYPTON_DECAF_API_VIS __attribute__((nonnull(1))) CRYPTON_DECAF_NOINLINE; +) __attribute__((nonnull(1))) CRYPTON_DECAF_NOINLINE; /** * @brief EdDSA signature verification. @@ -132,7 +254,7 @@ * safe. The C++ wrapper is designed to make it harder to screw this up, but this C code gives * you no seat belt. */ -crypton_decaf_error_t crypton_decaf_ed448_verify ( +crypton_decaf_error_t CRYPTON_DECAF_API_VIS crypton_decaf_ed448_verify ( const uint8_t signature[CRYPTON_DECAF_EDDSA_448_SIGNATURE_BYTES], const uint8_t pubkey[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES], const uint8_t *message, @@ -140,7 +262,7 @@ uint8_t prehashed, const uint8_t *context, uint8_t context_len -) CRYPTON_DECAF_API_VIS __attribute__((nonnull(1,2))) CRYPTON_DECAF_NOINLINE; +) __attribute__((nonnull(1,2))) CRYPTON_DECAF_NOINLINE; /** * @brief EdDSA signature verification. @@ -158,38 +280,56 @@ * safe. The C++ wrapper is designed to make it harder to screw this up, but this C code gives * you no seat belt. */ -crypton_decaf_error_t crypton_decaf_ed448_verify_prehash ( +crypton_decaf_error_t CRYPTON_DECAF_API_VIS crypton_decaf_ed448_verify_prehash ( const uint8_t signature[CRYPTON_DECAF_EDDSA_448_SIGNATURE_BYTES], const uint8_t pubkey[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES], const crypton_decaf_ed448_prehash_ctx_t hash, const uint8_t *context, uint8_t context_len -) CRYPTON_DECAF_API_VIS __attribute__((nonnull(1,2))) CRYPTON_DECAF_NOINLINE; +) __attribute__((nonnull(1,2))) CRYPTON_DECAF_NOINLINE; /** * @brief EdDSA point encoding. Used internally, exposed externally. - * Multiplies the point by the current cofactor first. + * Multiplies by CRYPTON_DECAF_448_EDDSA_ENCODE_RATIO first. * + * The multiplication is required because the EdDSA encoding represents + * the cofactor information, but the Decaf encoding ignores it (which + * is the whole point). So if you decode from EdDSA and re-encode to + * EdDSA, the cofactor info must get cleared, because the intermediate + * representation doesn't track it. + * + * The way libdecaf handles this is to multiply by + * CRYPTON_DECAF_448_EDDSA_DECODE_RATIO when decoding, and by + * CRYPTON_DECAF_448_EDDSA_ENCODE_RATIO when encoding. The product of these + * ratios is always exactly the cofactor 4, so the cofactor + * ends up cleared one way or another. But exactly how that shakes + * out depends on the base points specified in RFC 8032. + * + * The upshot is that if you pass the Decaf/Ristretto base point to + * this function, you will get CRYPTON_DECAF_448_EDDSA_ENCODE_RATIO times the + * EdDSA base point. + * * @param [out] enc The encoded point. * @param [in] p The point. */ -void crypton_decaf_448_point_mul_by_cofactor_and_encode_like_eddsa ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_point_mul_by_ratio_and_encode_like_eddsa ( uint8_t enc[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES], const crypton_decaf_448_point_t p -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** - * @brief EdDSA point decoding. Remember that while points on the - * EdDSA curves have cofactor information, Decaf ignores (quotients - * out) all cofactor information. + * @brief EdDSA point decoding. Multiplies by CRYPTON_DECAF_448_EDDSA_DECODE_RATIO, + * and ignores cofactor information. * + * See notes on crypton_decaf_448_point_mul_by_ratio_and_encode_like_eddsa + * * @param [out] enc The encoded point. * @param [in] p The point. */ -crypton_decaf_error_t crypton_decaf_448_point_decode_like_eddsa_and_ignore_cofactor ( +crypton_decaf_error_t CRYPTON_DECAF_API_VIS crypton_decaf_448_point_decode_like_eddsa_and_mul_by_ratio ( crypton_decaf_448_point_t p, const uint8_t enc[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES] -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief EdDSA to ECDH public key conversion @@ -202,10 +342,10 @@ * @param[out] x The ECDH public key as in RFC7748(point on Montgomery curve) * @param[in] ed The EdDSA public key(point on Edwards curve) */ -void crypton_decaf_ed448_convert_public_key_to_x448 ( +void CRYPTON_DECAF_API_VIS crypton_decaf_ed448_convert_public_key_to_x448 ( uint8_t x[CRYPTON_DECAF_X448_PUBLIC_BYTES], const uint8_t ed[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES] -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief EdDSA to ECDH private key conversion @@ -215,10 +355,10 @@ * @param[out] x The ECDH private key as in RFC7748 * @param[in] ed The EdDSA private key */ -void crypton_decaf_ed448_convert_private_key_to_x448 ( +void CRYPTON_DECAF_API_VIS crypton_decaf_ed448_convert_private_key_to_x448 ( uint8_t x[CRYPTON_DECAF_X448_PRIVATE_BYTES], const uint8_t ed[CRYPTON_DECAF_EDDSA_448_PRIVATE_BYTES] -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; #ifdef __cplusplus } /* extern "C" */ diff --git a/cbits/decaf/include/decaf/point_448.h b/cbits/decaf/include/decaf/point_448.h --- a/cbits/decaf/include/decaf/point_448.h +++ b/cbits/decaf/include/decaf/point_448.h @@ -34,7 +34,7 @@ /** @brief Galois field element internal structure */ typedef struct crypton_gf_448_s { crypton_decaf_word_t limb[512/CRYPTON_DECAF_WORD_BITS]; -} __attribute__((aligned(16))) crypton_gf_448_s, crypton_gf_448_t[1]; +} __attribute__((aligned(32))) crypton_gf_448_s, crypton_gf_448_t[1]; #endif /* __CRYPTON_DECAF_448_GF_DEFINED__ */ /** @endcond */ @@ -52,16 +52,22 @@ /** Number of bits in the "which" field of an elligator inverse */ #define CRYPTON_DECAF_448_INVERT_ELLIGATOR_WHICH_BITS 3 +/** The cofactor the curve would have, if we hadn't removed it */ +#define CRYPTON_DECAF_448_REMOVED_COFACTOR 4 + +/** X448 encoding ratio. */ +#define CRYPTON_DECAF_X448_ENCODE_RATIO 2 + /** Number of bytes in an x448 public key */ #define CRYPTON_DECAF_X448_PUBLIC_BYTES 56 /** Number of bytes in an x448 private key */ #define CRYPTON_DECAF_X448_PRIVATE_BYTES 56 -/** Twisted Edwards extended homogeneous coordinates */ +/** Representation of a point on the elliptic curve. */ typedef struct crypton_decaf_448_point_s { /** @cond internal */ - crypton_gf_448_t x,y,z,t; + crypton_gf_448_t x,y,z,t; /* Twisted extended homogeneous coordinates */ /** @endcond */ } crypton_decaf_448_point_t[1]; @@ -72,30 +78,51 @@ typedef struct crypton_decaf_448_precomputed_s crypton_decaf_448_precomputed_s; /** Size and alignment of precomputed point tables. */ -extern const size_t crypton_decaf_448_sizeof_precomputed_s CRYPTON_DECAF_API_VIS, crypton_decaf_448_alignof_precomputed_s CRYPTON_DECAF_API_VIS; +CRYPTON_DECAF_API_VIS extern const size_t crypton_decaf_448_sizeof_precomputed_s, crypton_decaf_448_alignof_precomputed_s; -/** Scalar is stored packed, because we don't need the speed. */ +/** Representation of an element of the scalar field. */ typedef struct crypton_decaf_448_scalar_s { /** @cond internal */ crypton_decaf_word_t limb[CRYPTON_DECAF_448_SCALAR_LIMBS]; /** @endcond */ } crypton_decaf_448_scalar_t[1]; -/** A scalar equal to 1. */ -extern const crypton_decaf_448_scalar_t crypton_decaf_448_scalar_one CRYPTON_DECAF_API_VIS; +#if defined _MSC_VER -/** A scalar equal to 0. */ -extern const crypton_decaf_448_scalar_t crypton_decaf_448_scalar_zero CRYPTON_DECAF_API_VIS; +/** The scalar 1. */ +extern const crypton_decaf_448_scalar_t CRYPTON_DECAF_API_VIS crypton_decaf_448_scalar_one; -/** The identity point on the curve. */ -extern const crypton_decaf_448_point_t crypton_decaf_448_point_identity CRYPTON_DECAF_API_VIS; +/** The scalar 0. */ +extern const crypton_decaf_448_scalar_t CRYPTON_DECAF_API_VIS crypton_decaf_448_scalar_zero; -/** An arbitrarily chosen base point on the curve. */ -extern const crypton_decaf_448_point_t crypton_decaf_448_point_base CRYPTON_DECAF_API_VIS; +/** The identity (zero) point on the curve. */ +extern const crypton_decaf_448_point_t CRYPTON_DECAF_API_VIS crypton_decaf_448_point_identity; -/** Precomputed table for the base point on the curve. */ -extern const struct crypton_decaf_448_precomputed_s *crypton_decaf_448_precomputed_base CRYPTON_DECAF_API_VIS; +/** An arbitrarily-chosen base point on the curve. */ +extern const crypton_decaf_448_point_t CRYPTON_DECAF_API_VIS crypton_decaf_448_point_base; +/** Precomputed table of multiples of the base point on the curve. */ +extern const struct CRYPTON_DECAF_API_VIS crypton_decaf_448_precomputed_s *crypton_decaf_448_precomputed_base; + + +#else // _MSC_VER + +/** The scalar 1. */ +CRYPTON_DECAF_API_VIS extern const crypton_decaf_448_scalar_t crypton_decaf_448_scalar_one; + +/** The scalar 0. */ +CRYPTON_DECAF_API_VIS extern const crypton_decaf_448_scalar_t crypton_decaf_448_scalar_zero; + +/** The identity (zero) point on the curve. */ +CRYPTON_DECAF_API_VIS extern const crypton_decaf_448_point_t crypton_decaf_448_point_identity; + +/** An arbitrarily-chosen base point on the curve. */ +CRYPTON_DECAF_API_VIS extern const crypton_decaf_448_point_t crypton_decaf_448_point_base; + +/** Precomputed table of multiples of the base point on the curve. */ +CRYPTON_DECAF_API_VIS extern const struct crypton_decaf_448_precomputed_s *crypton_decaf_448_precomputed_base; + +#endif // _MSC_VER /** * @brief Read a scalar from wire format or from bytes. * @@ -106,10 +133,10 @@ * @retval CRYPTON_DECAF_FAILURE The scalar was greater than the modulus, * and has been reduced modulo that modulus. */ -crypton_decaf_error_t crypton_decaf_448_scalar_decode ( +crypton_decaf_error_t CRYPTON_DECAF_API_VIS crypton_decaf_448_scalar_decode ( crypton_decaf_448_scalar_t out, const unsigned char ser[CRYPTON_DECAF_448_SCALAR_BYTES] -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_WARN_UNUSED CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_WARN_UNUSED CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Read a scalar from wire format or from bytes. Reduces mod @@ -119,11 +146,11 @@ * @param [in] ser_len Length of serialized form. * @param [out] out Deserialized form. */ -void crypton_decaf_448_scalar_decode_long ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_scalar_decode_long ( crypton_decaf_448_scalar_t out, const unsigned char *ser, size_t ser_len -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Serialize a scalar to wire format. @@ -131,10 +158,10 @@ * @param [out] ser Serialized form of a scalar. * @param [in] s Deserialized scalar. */ -void crypton_decaf_448_scalar_encode ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_scalar_encode ( unsigned char ser[CRYPTON_DECAF_448_SCALAR_BYTES], const crypton_decaf_448_scalar_t s -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE CRYPTON_DECAF_NOINLINE; /** * @brief Add two scalars. The scalars may use the same memory. @@ -142,11 +169,11 @@ * @param [in] b Another scalar. * @param [out] out a+b. */ -void crypton_decaf_448_scalar_add ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_scalar_add ( crypton_decaf_448_scalar_t out, const crypton_decaf_448_scalar_t a, const crypton_decaf_448_scalar_t b -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Compare two scalars. @@ -155,10 +182,10 @@ * @retval CRYPTON_DECAF_TRUE The scalars are equal. * @retval CRYPTON_DECAF_FALSE The scalars are not equal. */ -crypton_decaf_bool_t crypton_decaf_448_scalar_eq ( +crypton_decaf_bool_t CRYPTON_DECAF_API_VIS crypton_decaf_448_scalar_eq ( const crypton_decaf_448_scalar_t a, const crypton_decaf_448_scalar_t b -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_WARN_UNUSED CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_WARN_UNUSED CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Subtract two scalars. The scalars may use the same memory. @@ -166,11 +193,11 @@ * @param [in] b Another scalar. * @param [out] out a-b. */ -void crypton_decaf_448_scalar_sub ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_scalar_sub ( crypton_decaf_448_scalar_t out, const crypton_decaf_448_scalar_t a, const crypton_decaf_448_scalar_t b -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Multiply two scalars. The scalars may use the same memory. @@ -178,21 +205,21 @@ * @param [in] b Another scalar. * @param [out] out a*b. */ -void crypton_decaf_448_scalar_mul ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_scalar_mul ( crypton_decaf_448_scalar_t out, const crypton_decaf_448_scalar_t a, const crypton_decaf_448_scalar_t b -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Halve a scalar. The scalars may use the same memory. * @param [in] a A scalar. * @param [out] out a/2. */ -void crypton_decaf_448_scalar_halve ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_scalar_halve ( crypton_decaf_448_scalar_t out, const crypton_decaf_448_scalar_t a -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Invert a scalar. When passed zero, return 0. The input and output may alias. @@ -200,10 +227,10 @@ * @param [out] out 1/a. * @return CRYPTON_DECAF_SUCCESS The input is nonzero. */ -crypton_decaf_error_t crypton_decaf_448_scalar_invert ( +crypton_decaf_error_t CRYPTON_DECAF_API_VIS crypton_decaf_448_scalar_invert ( crypton_decaf_448_scalar_t out, const crypton_decaf_448_scalar_t a -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_WARN_UNUSED CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_WARN_UNUSED CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Copy a scalar. The scalars may use the same memory, in which @@ -223,10 +250,10 @@ * @param [in] a An integer. * @param [out] out Will become equal to a. */ -void crypton_decaf_448_scalar_set_unsigned ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_scalar_set_unsigned ( crypton_decaf_448_scalar_t out, uint64_t a -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL; +) CRYPTON_DECAF_NONNULL; /** * @brief Encode a point as a sequence of bytes. @@ -234,10 +261,10 @@ * @param [out] ser The byte representation of the point. * @param [in] pt The point to encode. */ -void crypton_decaf_448_point_encode ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_point_encode ( uint8_t ser[CRYPTON_DECAF_448_SER_BYTES], const crypton_decaf_448_point_t pt -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Decode a point from a sequence of bytes. @@ -253,11 +280,11 @@ * @retval CRYPTON_DECAF_FAILURE The decoding didn't succeed, because * ser does not represent a point. */ -crypton_decaf_error_t crypton_decaf_448_point_decode ( +crypton_decaf_error_t CRYPTON_DECAF_API_VIS crypton_decaf_448_point_decode ( crypton_decaf_448_point_t pt, const uint8_t ser[CRYPTON_DECAF_448_SER_BYTES], crypton_decaf_bool_t allow_identity -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_WARN_UNUSED CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_WARN_UNUSED CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Copy a point. The input and output may alias, @@ -282,10 +309,10 @@ * @retval CRYPTON_DECAF_TRUE The points are equal. * @retval CRYPTON_DECAF_FALSE The points are not equal. */ -crypton_decaf_bool_t crypton_decaf_448_point_eq ( +crypton_decaf_bool_t CRYPTON_DECAF_API_VIS crypton_decaf_448_point_eq ( const crypton_decaf_448_point_t a, const crypton_decaf_448_point_t b -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_WARN_UNUSED CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_WARN_UNUSED CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Add two points to produce a third point. The @@ -296,11 +323,11 @@ * @param [in] a An addend. * @param [in] b An addend. */ -void crypton_decaf_448_point_add ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_point_add ( crypton_decaf_448_point_t sum, const crypton_decaf_448_point_t a, const crypton_decaf_448_point_t b -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL; +) CRYPTON_DECAF_NONNULL; /** * @brief Double a point. Equivalent to @@ -309,10 +336,10 @@ * @param [out] two_a The sum a+a. * @param [in] a A point. */ -void crypton_decaf_448_point_double ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_point_double ( crypton_decaf_448_point_t two_a, const crypton_decaf_448_point_t a -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL; +) CRYPTON_DECAF_NONNULL; /** * @brief Subtract two points to produce a third point. The @@ -323,11 +350,11 @@ * @param [in] a The minuend. * @param [in] b The subtrahend. */ -void crypton_decaf_448_point_sub ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_point_sub ( crypton_decaf_448_point_t diff, const crypton_decaf_448_point_t a, const crypton_decaf_448_point_t b -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL; +) CRYPTON_DECAF_NONNULL; /** * @brief Negate a point to produce another point. The input @@ -336,10 +363,10 @@ * @param [out] nega The negated input point * @param [in] a The input point. */ -void crypton_decaf_448_point_negate ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_point_negate ( crypton_decaf_448_point_t nega, const crypton_decaf_448_point_t a -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL; +) CRYPTON_DECAF_NONNULL; /** * @brief Multiply a base point by a scalar: scaled = scalar*base. @@ -348,11 +375,11 @@ * @param [in] base The point to be scaled. * @param [in] scalar The scalar to multiply by. */ -void crypton_decaf_448_point_scalarmul ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_point_scalarmul ( crypton_decaf_448_point_t scaled, const crypton_decaf_448_point_t base, const crypton_decaf_448_scalar_t scalar -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Multiply a base point by a scalar: scaled = scalar*base. @@ -371,34 +398,64 @@ * @retval CRYPTON_DECAF_FAILURE The scalarmul didn't succeed, because * base does not represent a point. */ -crypton_decaf_error_t crypton_decaf_448_direct_scalarmul ( +crypton_decaf_error_t CRYPTON_DECAF_API_VIS crypton_decaf_448_direct_scalarmul ( uint8_t scaled[CRYPTON_DECAF_448_SER_BYTES], const uint8_t base[CRYPTON_DECAF_448_SER_BYTES], const crypton_decaf_448_scalar_t scalar, crypton_decaf_bool_t allow_identity, crypton_decaf_bool_t short_circuit -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_WARN_UNUSED CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_WARN_UNUSED CRYPTON_DECAF_NOINLINE; /** - * @brief RFC 7748 Diffie-Hellman scalarmul. This function uses a different - * (non-Decaf) encoding. + * @brief RFC 7748 Diffie-Hellman scalarmul, used to compute shared secrets. + * This function uses a different (non-Decaf) encoding. * - * @param [out] scaled The scaled point base*scalar - * @param [in] base The point to be scaled. - * @param [in] scalar The scalar to multiply by. + * @param [out] shared The shared secret base*scalar + * @param [in] base The other party's public key, used as the base of the scalarmul. + * @param [in] scalar The private scalar to multiply by. * * @retval CRYPTON_DECAF_SUCCESS The scalarmul succeeded. * @retval CRYPTON_DECAF_FAILURE The scalarmul didn't succeed, because the base * point is in a small subgroup. */ -crypton_decaf_error_t crypton_decaf_x448 ( - uint8_t out[CRYPTON_DECAF_X448_PUBLIC_BYTES], +crypton_decaf_error_t CRYPTON_DECAF_API_VIS crypton_decaf_x448 ( + uint8_t shared[CRYPTON_DECAF_X448_PUBLIC_BYTES], const uint8_t base[CRYPTON_DECAF_X448_PUBLIC_BYTES], const uint8_t scalar[CRYPTON_DECAF_X448_PRIVATE_BYTES] -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_WARN_UNUSED CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_WARN_UNUSED CRYPTON_DECAF_NOINLINE; +/** + * @brief Multiply a point by CRYPTON_DECAF_X448_ENCODE_RATIO, + * then encode it like RFC 7748. + * + * This function is mainly used internally, but is exported in case + * it will be useful. + * + * The ratio is necessary because the internal representation doesn't + * track the cofactor information, so on output we must clear the cofactor. + * This would multiply by the cofactor, but in fact internally libdecaf's + * points are always even, so it multiplies by half the cofactor instead. + * + * As it happens, this aligns with the base point definitions; that is, + * if you pass the Decaf/Ristretto base point to this function, the result + * will be CRYPTON_DECAF_X448_ENCODE_RATIO times the X448 + * base point. + * + * @param [out] out The scaled and encoded point. + * @param [in] p The point to be scaled and encoded. + */ +void CRYPTON_DECAF_API_VIS crypton_decaf_448_point_mul_by_ratio_and_encode_like_x448 ( + uint8_t out[CRYPTON_DECAF_X448_PUBLIC_BYTES], + const crypton_decaf_448_point_t p +) CRYPTON_DECAF_NONNULL; + /** The base point for X448 Diffie-Hellman */ -extern const uint8_t crypton_decaf_x448_base_point[CRYPTON_DECAF_X448_PUBLIC_BYTES] CRYPTON_DECAF_API_VIS; +extern const uint8_t +#ifndef DOXYGEN + /* For some reason Doxygen chokes on this despite the defense in common.h... */ + CRYPTON_DECAF_API_VIS +#endif + crypton_decaf_x448_base_point[CRYPTON_DECAF_X448_PUBLIC_BYTES]; /** * @brief RFC 7748 Diffie-Hellman base point scalarmul. This function uses @@ -407,13 +464,13 @@ * @deprecated Renamed to crypton_decaf_x448_derive_public_key. * I have no particular timeline for removing this name. * - * @param [out] scaled The scaled point base*scalar - * @param [in] scalar The scalar to multiply by. + * @param [out] out The public key base*scalar. + * @param [in] scalar The private scalar. */ -void crypton_decaf_x448_generate_key ( +void CRYPTON_DECAF_API_VIS crypton_decaf_x448_generate_key ( uint8_t out[CRYPTON_DECAF_X448_PUBLIC_BYTES], const uint8_t scalar[CRYPTON_DECAF_X448_PRIVATE_BYTES] -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE CRYPTON_DECAF_DEPRECATED("Renamed to crypton_decaf_x448_derive_public_key"); +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE CRYPTON_DECAF_DEPRECATED("Renamed to crypton_decaf_x448_derive_public_key"); /** * @brief RFC 7748 Diffie-Hellman base point scalarmul. This function uses @@ -422,13 +479,13 @@ * Does exactly the same thing as crypton_decaf_x448_generate_key, * but has a better name. * - * @param [out] scaled The scaled point base*scalar - * @param [in] scalar The scalar to multiply by. + * @param [out] out The public key base*scalar + * @param [in] scalar The private scalar. */ -void crypton_decaf_x448_derive_public_key ( +void CRYPTON_DECAF_API_VIS crypton_decaf_x448_derive_public_key ( uint8_t out[CRYPTON_DECAF_X448_PUBLIC_BYTES], const uint8_t scalar[CRYPTON_DECAF_X448_PRIVATE_BYTES] -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /* FUTURE: uint8_t crypton_decaf_448_encode_like_curve448) */ @@ -441,10 +498,10 @@ * @param [out] a A precomputed table of multiples of the point. * @param [in] b Any point. */ -void crypton_decaf_448_precompute ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_precompute ( crypton_decaf_448_precomputed_s *a, const crypton_decaf_448_point_t b -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Multiply a precomputed base point by a scalar: @@ -457,11 +514,11 @@ * @param [in] base The point to be scaled. * @param [in] scalar The scalar to multiply by. */ -void crypton_decaf_448_precomputed_scalarmul ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_precomputed_scalarmul ( crypton_decaf_448_point_t scaled, const crypton_decaf_448_precomputed_s *base, const crypton_decaf_448_scalar_t scalar -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Multiply two base points by two scalars: @@ -476,13 +533,13 @@ * @param [in] base2 A second point to be scaled. * @param [in] scalar2 A second scalar to multiply by. */ -void crypton_decaf_448_point_double_scalarmul ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_point_double_scalarmul ( crypton_decaf_448_point_t combo, const crypton_decaf_448_point_t base1, const crypton_decaf_448_scalar_t scalar1, const crypton_decaf_448_point_t base2, const crypton_decaf_448_scalar_t scalar2 -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * Multiply one base point by two scalars: @@ -499,13 +556,13 @@ * @param [in] scalar1 A first scalar to multiply by. * @param [in] scalar2 A second scalar to multiply by. */ -void crypton_decaf_448_point_dual_scalarmul ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_point_dual_scalarmul ( crypton_decaf_448_point_t a1, crypton_decaf_448_point_t a2, const crypton_decaf_448_point_t base1, const crypton_decaf_448_scalar_t scalar1, const crypton_decaf_448_scalar_t scalar2 -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Multiply two base points by two scalars: @@ -522,12 +579,12 @@ * @warning: This function takes variable time, and may leak the scalars * used. It is designed for signature verification. */ -void crypton_decaf_448_base_double_scalarmul_non_secret ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_base_double_scalarmul_non_secret ( crypton_decaf_448_point_t combo, const crypton_decaf_448_scalar_t scalar1, const crypton_decaf_448_point_t base2, const crypton_decaf_448_scalar_t scalar2 -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Constant-time decision between two points. If pick_b @@ -538,12 +595,12 @@ * @param [in] b Any point. * @param [in] pick_b If nonzero, choose point b. */ -void crypton_decaf_448_point_cond_sel ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_point_cond_sel ( crypton_decaf_448_point_t out, const crypton_decaf_448_point_t a, const crypton_decaf_448_point_t b, crypton_decaf_word_t pick_b -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Constant-time decision between two scalars. If pick_b @@ -554,12 +611,12 @@ * @param [in] b Any scalar. * @param [in] pick_b If nonzero, choose scalar b. */ -void crypton_decaf_448_scalar_cond_sel ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_scalar_cond_sel ( crypton_decaf_448_scalar_t out, const crypton_decaf_448_scalar_t a, const crypton_decaf_448_scalar_t b, crypton_decaf_word_t pick_b -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Test that a point is valid, for debugging purposes. @@ -568,9 +625,9 @@ * @retval CRYPTON_DECAF_TRUE The point is valid. * @retval CRYPTON_DECAF_FALSE The point is invalid. */ -crypton_decaf_bool_t crypton_decaf_448_point_valid ( +crypton_decaf_bool_t CRYPTON_DECAF_API_VIS crypton_decaf_448_point_valid ( const crypton_decaf_448_point_t to_test -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_WARN_UNUSED CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_WARN_UNUSED CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Torque a point, for debugging purposes. The output @@ -579,10 +636,10 @@ * @param [out] q The point to torque. * @param [in] p The point to torque. */ -void crypton_decaf_448_point_debugging_torque ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_point_debugging_torque ( crypton_decaf_448_point_t q, const crypton_decaf_448_point_t p -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Projectively scale a point, for debugging purposes. @@ -593,11 +650,11 @@ * @param [in] p The point to scale. * @param [in] factor Serialized GF factor to scale. */ -void crypton_decaf_448_point_debugging_pscale ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_point_debugging_pscale ( crypton_decaf_448_point_t q, const crypton_decaf_448_point_t p, const unsigned char factor[CRYPTON_DECAF_448_SER_BYTES] -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Almost-Elligator-like hash to curve. @@ -627,11 +684,11 @@ * @param [in] hashed_data Output of some hash function. * @param [out] pt The data hashed to the curve. */ -void +void CRYPTON_DECAF_API_VIS crypton_decaf_448_point_from_hash_nonuniform ( crypton_decaf_448_point_t pt, const unsigned char hashed_data[CRYPTON_DECAF_448_HASH_BYTES] -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Indifferentiable hash function encoding to curve. @@ -641,10 +698,10 @@ * @param [in] hashed_data Output of some hash function. * @param [out] pt The data hashed to the curve. */ -void crypton_decaf_448_point_from_hash_uniform ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_point_from_hash_uniform ( crypton_decaf_448_point_t pt, const unsigned char hashed_data[2*CRYPTON_DECAF_448_HASH_BYTES] -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE; /** * @brief Inverse of elligator-like hash to curve. @@ -656,6 +713,16 @@ * inverse sampling, this function succeeds or fails * independently for different "which" values. * + * This function isn't guaranteed to find every possible + * preimage, but it finds all except a small finite number. + * In particular, when the number of bits in the modulus isn't + * a multiple of 8 (i.e. for curve25519), it sets the high bits + * independently, which enables the generated data to be uniform. + * But it doesn't add p, so you'll never get exactly p from this + * function. This might change in the future, especially if + * we ever support eg Brainpool curves, where this could cause + * real nonuniformity. + * * @param [out] recovered_hash Encoded data. * @param [in] pt The point to encode. * @param [in] which A value determining which inverse point @@ -664,12 +731,12 @@ * @retval CRYPTON_DECAF_SUCCESS The inverse succeeded. * @retval CRYPTON_DECAF_FAILURE The inverse failed. */ -crypton_decaf_error_t +crypton_decaf_error_t CRYPTON_DECAF_API_VIS crypton_decaf_448_invert_elligator_nonuniform ( unsigned char recovered_hash[CRYPTON_DECAF_448_HASH_BYTES], const crypton_decaf_448_point_t pt, uint32_t which -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE CRYPTON_DECAF_WARN_UNUSED; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE CRYPTON_DECAF_WARN_UNUSED; /** * @brief Inverse of elligator-like hash to curve. @@ -689,33 +756,31 @@ * @retval CRYPTON_DECAF_SUCCESS The inverse succeeded. * @retval CRYPTON_DECAF_FAILURE The inverse failed. */ -crypton_decaf_error_t +crypton_decaf_error_t CRYPTON_DECAF_API_VIS crypton_decaf_448_invert_elligator_uniform ( unsigned char recovered_hash[2*CRYPTON_DECAF_448_HASH_BYTES], const crypton_decaf_448_point_t pt, uint32_t which -) CRYPTON_DECAF_API_VIS CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE CRYPTON_DECAF_WARN_UNUSED; +) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_NOINLINE CRYPTON_DECAF_WARN_UNUSED; -/** - * @brief Overwrite scalar with zeros. - */ -void crypton_decaf_448_scalar_destroy ( +/** Securely erase a scalar. */ +void CRYPTON_DECAF_API_VIS crypton_decaf_448_scalar_destroy ( crypton_decaf_448_scalar_t scalar -) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_API_VIS; +) CRYPTON_DECAF_NONNULL; -/** - * @brief Overwrite point with zeros. +/** Securely erase a point by overwriting it with zeros. + * @warning This causes the point object to become invalid. */ -void crypton_decaf_448_point_destroy ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_point_destroy ( crypton_decaf_448_point_t point -) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_API_VIS; +) CRYPTON_DECAF_NONNULL; -/** - * @brief Overwrite precomputed table with zeros. +/** Securely erase a precomputed table by overwriting it with zeros. + * @warning This causes the table object to become invalid. */ -void crypton_decaf_448_precomputed_destroy ( +void CRYPTON_DECAF_API_VIS crypton_decaf_448_precomputed_destroy ( crypton_decaf_448_precomputed_s *pre -) CRYPTON_DECAF_NONNULL CRYPTON_DECAF_API_VIS; +) CRYPTON_DECAF_NONNULL; #ifdef __cplusplus } /* extern "C" */ diff --git a/cbits/decaf/include/field.h b/cbits/decaf/include/field.h --- a/cbits/decaf/include/field.h +++ b/cbits/decaf/include/field.h @@ -103,5 +103,10 @@ #endif } +#if P_MOD_8 == 5 +#define crypton_gf_mul_i crypton_gf_mul_qnr +#define crypton_gf_div_i crypton_gf_div_qnr +#endif + #endif // __GF_H__ diff --git a/cbits/decaf/include/word.h b/cbits/decaf/include/word.h --- a/cbits/decaf/include/word.h +++ b/cbits/decaf/include/word.h @@ -13,6 +13,11 @@ extern int posix_memalign(void **, size_t, size_t); #endif +// MSVC has no posix_memalign +#if defined(_MSC_VER) +#define posix_memalign(p, a, s) (((*(p)) = _aligned_malloc((s), (a))), *(p) ?0 :errno) +#endif + #include #include #include "arch_intrinsics.h" @@ -58,6 +63,22 @@ #else #error "For now, libdecaf only supports 32- and 64-bit architectures." #endif + +/** + * Expand bit 0 of the given uint8_t to a mask_t all 1 or all 0 + * The input must be either 0 or 1 + */ +static CRYPTON_DECAF_INLINE mask_t bit_to_mask(uint8_t bit) { +#ifdef _MSC_VER +#pragma warning ( push) +#pragma warning ( disable : 4146) +#endif + return -(mask_t)bit; +#ifdef _MSC_VER +#pragma warning ( pop) +#endif + +} /* Scalar limbs are keyed off of the API word size instead of the arch word size. */ #if CRYPTON_DECAF_WORD_BITS == 64 @@ -130,7 +151,7 @@ br_set_to_mask(mask_t x) { return vdupq_n_u32(x); } -#elif _WIN64 || __amd64__ || __X86_64__ || __aarch64__ +#elif __amd64__ || __X86_64__ || __aarch64__ || __loongarch_lp64 || __PPC64__ || __riscv || __s390x__ || __alpha__ || __powerpc64__ || (__sparc__ && __arch64__) /* || _WIN64 -> WIN64 does not support int128 so force the build on arch32 default so do not use this define for _WIN64*/ #define VECTOR_ALIGNED __attribute__((aligned(8))) typedef uint64_t big_register_t, uint64xn_t; diff --git a/cbits/decaf/p448/arch_32/f_impl.c b/cbits/decaf/p448/arch_32/f_impl.c --- a/cbits/decaf/p448/arch_32/f_impl.c +++ b/cbits/decaf/p448/arch_32/f_impl.c @@ -88,11 +88,11 @@ accum0 += accum8 + c[8]; c[8] = accum0 & mask; - c[9] += accum0 >> 28; + c[9] += (uint32_t)(accum0 >> 28); accum8 += c[0]; c[0] = accum8 & mask; - c[1] += accum8 >> 28; + c[1] += (uint32_t)(accum8 >> 28); } void crypton_gf_sqr (crypton_gf_s *__restrict__ cs, const gf as) { diff --git a/cbits/decaf/p448/f_field.h b/cbits/decaf/p448/f_field.h --- a/cbits/decaf/p448/f_field.h +++ b/cbits/decaf/p448/f_field.h @@ -23,11 +23,10 @@ #define __CRYPTON_DECAF_448_GF_DEFINED__ 1 #define NLIMBS (64/sizeof(word_t)) -#define X_SER_BYTES 56 #define SER_BYTES 56 typedef struct crypton_gf_448_s { word_t limb[NLIMBS]; -} __attribute__((aligned(16))) crypton_gf_448_s, crypton_gf_448_t[1]; +} __attribute__((aligned(32))) crypton_gf_448_s, crypton_gf_448_t[1]; #define GF_LIT_LIMB_BITS 56 #define GF_BITS 448 @@ -37,7 +36,7 @@ #define gf crypton_gf_448_t #define crypton_gf_s crypton_gf_448_s #define crypton_gf_eq crypton_gf_448_eq -#define crypton_gf_hibit crypton_gf_448_hibit +#define crypton_gf_lobit crypton_gf_448_lobit #define crypton_gf_copy crypton_gf_448_copy #define crypton_gf_add crypton_gf_448_add #define crypton_gf_sub crypton_gf_448_sub @@ -54,7 +53,7 @@ #define crypton_gf_deserialize crypton_gf_448_deserialize /* RFC 7748 support */ -#define X_PUBLIC_BYTES X_SER_BYTES +#define X_PUBLIC_BYTES SER_BYTES #define X_PRIVATE_BYTES X_PUBLIC_BYTES #define X_PRIVATE_BITS 448 @@ -81,10 +80,10 @@ void crypton_gf_sqr (crypton_gf_s *__restrict__ out, const gf a); mask_t crypton_gf_isr(gf a, const gf x); /** a^2 x = 1, QNR, or 0 if x=0. Return true if successful */ mask_t crypton_gf_eq (const gf x, const gf y); -mask_t crypton_gf_hibit (const gf x); +mask_t crypton_gf_lobit (const gf x); -void crypton_gf_serialize (uint8_t *serial, const gf x,int with_highbit); -mask_t crypton_gf_deserialize (gf x, const uint8_t serial[SER_BYTES],int with_highbit); +void crypton_gf_serialize (uint8_t serial[SER_BYTES], const gf x); +mask_t crypton_gf_deserialize (gf x, const uint8_t serial[SER_BYTES],uint8_t hi_nmask); #ifdef __cplusplus diff --git a/cbits/decaf/p448/f_generic.c b/cbits/decaf/p448/f_generic.c --- a/cbits/decaf/p448/f_generic.c +++ b/cbits/decaf/p448/f_generic.c @@ -24,52 +24,52 @@ #endif /** Serialize to wire format. */ -void crypton_gf_serialize (uint8_t serial[SER_BYTES], const gf x, int with_hibit) { +void crypton_gf_serialize (uint8_t serial[SER_BYTES], const gf x) { gf red; crypton_gf_copy(red, x); crypton_gf_strong_reduce(red); - if (!with_hibit) { assert(crypton_gf_hibit(red) == 0); } unsigned int j=0, fill=0; dword_t buffer = 0; - UNROLL for (unsigned int i=0; i<(with_hibit ? X_SER_BYTES : SER_BYTES); i++) { + UNROLL for (unsigned int i=0; ilimb[LIMBPERM(j)]) << fill; fill += LIMB_PLACE_VALUE(LIMBPERM(j)); j++; } - serial[i] = buffer; + serial[i] = (uint8_t)buffer; fill -= 8; buffer >>= 8; } } /** Return high bit of x = low bit of 2x mod p */ -mask_t crypton_gf_hibit(const gf x) { +mask_t crypton_gf_lobit(const gf x) { gf y; - crypton_gf_add(y,x,x); + crypton_gf_copy(y,x); crypton_gf_strong_reduce(y); - return -(y->limb[0]&1); + return bit_to_mask((y->limb[0]) & 1); } /** Deserialize from wire format; return -1 on success and 0 on failure. */ -mask_t crypton_gf_deserialize (gf x, const uint8_t serial[SER_BYTES], int with_hibit) { +mask_t crypton_gf_deserialize (gf x, const uint8_t serial[SER_BYTES], uint8_t hi_nmask) { unsigned int j=0, fill=0; dword_t buffer = 0; dsword_t scarry = 0; UNROLL for (unsigned int i=0; ilimb[LIMBPERM(i)] = (ilimb[LIMBPERM(i)] = (word_t)((i>= LIMB_PLACE_VALUE(LIMBPERM(i)); scarry = (scarry + x->limb[LIMBPERM(i)] - MODULUS->limb[LIMBPERM(i)]) >> (8*sizeof(word_t)); } - mask_t succ = with_hibit ? -(mask_t)1 : ~crypton_gf_hibit(x); - return succ & word_is_zero(buffer) & ~word_is_zero(scarry); + return word_is_zero((word_t)buffer) & ~word_is_zero((word_t)scarry); } /** Reduce to canonical form. */ @@ -91,9 +91,9 @@ * common case: it was < p, so now scarry = -1 and this = x - p + 2^255 * so let's add back in p. will carry back off the top for 2^255. */ - assert(word_is_zero(scarry) | word_is_zero(scarry+1)); + assert(word_is_zero((word_t)scarry) | word_is_zero((word_t)scarry+1)); - word_t scarry_0 = scarry; + word_t scarry_0 = (word_t)scarry; dword_t carry = 0; /* add it back */ @@ -103,7 +103,7 @@ carry >>= LIMB_PLACE_VALUE(LIMBPERM(i)); } - assert(word_is_zero(carry + scarry_0)); + assert(word_is_zero((word_t)(carry) + scarry_0)); } /** Subtract two gf elements d=a-b */ diff --git a/cbits/ed25519/ed25519.c b/cbits/ed25519/ed25519.c --- a/cbits/ed25519/ed25519.c +++ b/cbits/ed25519/ed25519.c @@ -12,8 +12,33 @@ #include "ed25519-randombytes.h" #include "ed25519-hash.h" #include "ed25519-crypton-exts.h" +#include "ed25519/ed25519_s2n.h" /* + The base point multiplied by a scalar, packed. s2n-bignum's assembly + where it is built -- twice the speed of the table below, and signing + does this twice -- and ed25519-donna's own table where it is not. +*/ +static void +ed25519_base_pack(ed25519_public_key out, const bignum256modm s) { + ge25519 ALIGN(16) p; + +#if defined(CRYPTON_S2N_BIGNUM) && defined(__BYTE_ORDER__) \ + && __BYTE_ORDER__ == __ORDER_LITTLE_ENDIAN__ + unsigned char e[32]; + + contract256_modm(e, s); + if (crypton_ed25519_base_mult(out, e)) { + memset(e, 0, sizeof e); + return; + } + memset(e, 0, sizeof e); +#endif + ge25519_scalarmult_base_niels(&p, ge25519_niels_base_multiples, s); + ge25519_pack(out, &p); +} + +/* Generates a (extsk[0..31]) and aExt (extsk[32..63]) */ @@ -38,14 +63,12 @@ void ED25519_FN(ed25519_publickey) (const ed25519_secret_key sk, ed25519_public_key pk) { bignum256modm a; - ge25519 ALIGN(16) A; hash_512bits extsk; /* A = aB */ ed25519_extsk(extsk, sk); expand256_modm(a, extsk, 32); - ge25519_scalarmult_base_niels(&A, ge25519_niels_base_multiples, a); - ge25519_pack(pk, &A); + ed25519_base_pack(pk, a); } @@ -53,7 +76,6 @@ ED25519_FN(ed25519_sign) (const unsigned char *m, size_t mlen, const ed25519_secret_key sk, const ed25519_public_key pk, ed25519_signature RS) { ed25519_hash_context ctx; bignum256modm r, S, a; - ge25519 ALIGN(16) R; hash_512bits extsk, hashr, hram; ed25519_extsk(extsk, sk); @@ -66,8 +88,7 @@ expand256_modm(r, hashr, 64); /* R = rB */ - ge25519_scalarmult_base_niels(&R, ge25519_niels_base_multiples, r); - ge25519_pack(RS, &R); + ed25519_base_pack(RS, r); /* S = H(R,A,m).. */ ed25519_hram(hram, RS, pk, m, mlen); @@ -89,7 +110,7 @@ ge25519 ALIGN(16) R, A; hash_512bits hash; bignum256modm hram, S; - unsigned char checkR[32]; + unsigned char checkR[32], checkS[32]; if ((RS[63] & 224) || !ge25519_unpack_negative_vartime(&A, pk)) return -1; @@ -100,6 +121,11 @@ /* S */ expand256_modm(S, RS + 32, 32); + + /* check that S is canonical */ + contract256_modm(checkS, S); + if (!ed25519_verify(RS + 32, checkS, 32)) + return -1; /* SB - H(R,A,m)A */ ge25519_double_scalarmult_vartime(&R, &A, hram, S); diff --git a/cbits/ed25519/ed25519_s2n.c b/cbits/ed25519/ed25519_s2n.c new file mode 100644 --- /dev/null +++ b/cbits/ed25519/ed25519_s2n.c @@ -0,0 +1,65 @@ +/* + * Ed25519's base point multiplication through the vendored s2n-bignum. + * + * Signing does this twice: once for the nonce's point R, and once for the + * public key, which crypton derives from the secret key at every signature + * rather than trusting the one it is handed. Both go through here, so both + * halves of a signature move at once. + * + * Measured on an Apple M4, one multiplication with the encoding: + * ed25519-donna 7.5 us against s2n-bignum 3.5. + */ +#include + +#include "ed25519/ed25519_s2n.h" + +#if defined(CRYPTON_S2N_BIGNUM) && defined(__BYTE_ORDER__) \ + && __BYTE_ORDER__ == __ORDER_LITTLE_ENDIAN__ +#define CRYPTON_ED25519_S2N 1 +#include "crypton_cpu.h" + +extern void edwards25519_scalarmulbase(uint64_t res[8], + const uint64_t scalar[4]); +extern void edwards25519_scalarmulbase_alt(uint64_t res[8], + const uint64_t scalar[4]); +extern void edwards25519_encode(uint8_t z[32], const uint64_t p[8]); + +/* The same question as everywhere else in cbits/s2n: a microarchitecture one + * on ARM that no feature bit answers, and exactly a feature bit on x86-64. */ +static int use_alt(void) +{ +#if defined(__aarch64__) || defined(__arm64__) +#ifdef __APPLE__ + return 1; +#else + return 0; +#endif +#else + return (crypton_x86_simd_features() & CRYPTON_X86_ADX) == 0; +#endif +} +#endif + +int crypton_ed25519_base_mult(uint8_t out[32], const uint8_t scalar[32]) +{ +#ifdef CRYPTON_ED25519_S2N + /* the assembly takes four little-endian 64-bit words, which is the + * same bits as the 32 little-endian bytes the scalar is kept in */ + uint64_t s[4], p[8]; + + memcpy(s, scalar, 32); + if (use_alt()) + edwards25519_scalarmulbase_alt(p, s); + else + edwards25519_scalarmulbase(p, s); + edwards25519_encode(out, p); + + memset(s, 0, sizeof s); + memset(p, 0, sizeof p); + return 1; +#else + (void) out; + (void) scalar; + return 0; +#endif +} diff --git a/cbits/ed25519/ed25519_s2n.h b/cbits/ed25519/ed25519_s2n.h new file mode 100644 --- /dev/null +++ b/cbits/ed25519/ed25519_s2n.h @@ -0,0 +1,14 @@ +#ifndef CRYPTON_ED25519_S2N_H +#define CRYPTON_ED25519_S2N_H + +#include + +/* The base point multiplied by a scalar, packed into Ed25519's 32-byte + * encoding. The scalar is 32 little-endian bytes, already reduced. + * + * Returns 1 when the vendored s2n-bignum did the work and 0 when it is not + * built, in which case the caller multiplies the base point itself. + */ +int crypton_ed25519_base_mult(uint8_t out[32], const uint8_t scalar[32]); + +#endif diff --git a/cbits/include32/p256/p256.h b/cbits/include32/p256/p256.h --- a/cbits/include32/p256/p256.h +++ b/cbits/include32/p256/p256.h @@ -83,16 +83,9 @@ const crypton_p256_int* b, crypton_p256_int* c); -// b := 1 / a % MOD -// MOD best be SECP256r1_n -void crypton_p256_modinv( - const crypton_p256_int* MOD, - const crypton_p256_int* a, - crypton_p256_int* b); - -// b := 1 / a % MOD +// b := 1 / a % MOD, in time that depends on a // MOD best be SECP256r1_n -// Faster than crypton_p256_modinv() +// Answers zero for an a that has no inverse, which is zero and MOD void crypton_p256_modinv_vartime( const crypton_p256_int* MOD, const crypton_p256_int* a, @@ -130,13 +123,6 @@ void crypton_p256_base_point_mul(const crypton_p256_int *n, crypton_p256_int *out_x, crypton_p256_int *out_y); - -// {out_x,out_y} := n{in_x,in_y} -void crypton_p256_point_mul(const crypton_p256_int *n, - const crypton_p256_int *in_x, - const crypton_p256_int *in_y, - crypton_p256_int *out_x, - crypton_p256_int *out_y); // {out_x,out_y} := n1G + n2{in_x,in_y} void crypton_p256_points_mul_vartime( diff --git a/cbits/include32/p256/p256_gf.h b/cbits/include32/p256/p256_gf.h --- a/cbits/include32/p256/p256_gf.h +++ b/cbits/include32/p256/p256_gf.h @@ -76,6 +76,13 @@ 0 }; static const felem kZero = {0}; + +/* the curve's b, in Montgomery form, for the complete addition formula */ +static const felem kB = { + 0x13897bbf, 0x9cdf622, 0x43090d8, 0x2e67c4, + 0x176b5678, 0x2afdc84, 0xd196888, 0xb090e90, + 0xb8600c3 +}; static const felem kP = { 0x1fffffff, 0xfffffff, 0x1fffffff, 0x3ff, 0, 0, 0x200000, 0xf000000, @@ -86,96 +93,99 @@ 0, 0, 0x400000, 0xe000000, 0x1fffffff }; -/* kPrecomputed contains precomputed values to aid the calculation of scalar - * multiples of the base point, G. It's actually two, equal length, tables - * concatenated. +/* kPrecomputed holds the multiples of the base point G that the comb in + * scalar_base_mult reads. Two tables of sixteen affine points, one after the + * other. * - * The first table contains (x,y) felem pairs for 16 multiples of the base - * point, G. + * The comb takes five bits of the signed all-bits-set representation at a + * time, from positions 52 apart, and the two tables are offset from each + * other by 26: * - * Index | Index (binary) | Value - * 0 | 0000 | 0G (all zeros, omitted) - * 1 | 0001 | G - * 2 | 0010 | 2**64G - * 3 | 0011 | 2**64G + G - * 4 | 0100 | 2**128G - * 5 | 0101 | 2**128G + G - * 6 | 0110 | 2**128G + 2**64G - * 7 | 0111 | 2**128G + 2**64G + G - * 8 | 1000 | 2**192G - * 9 | 1001 | 2**192G + G - * 10 | 1010 | 2**192G + 2**64G - * 11 | 1011 | 2**192G + 2**64G + G - * 12 | 1100 | 2**192G + 2**128G - * 13 | 1101 | 2**192G + 2**128G + G - * 14 | 1110 | 2**192G + 2**128G + 2**64G - * 15 | 1111 | 2**192G + 2**128G + 2**64G + G + * first table i, 52+i, 104+i, 156+i, 208+i + * second table 26+i, 78+i, 130+i, 182+i, 234+i * - * The second table follows the same style, but the terms are 2**32G, - * 2**96G, 2**160G, 2**224G. + * for i from 25 down to 0, which covers all 260 bits between them. * + * Every digit of that representation is +-1, so a block of five teeth takes + * one of thirty-two values -- and they come in pairs that differ only by + * sign. So sixteen entries are enough: the top tooth is taken positive, bit + * j of the index says that tooth j agrees with it, and where the top tooth is + * negative the caller negates y, which costs a subtraction. Entry zero is a + * point like any other here, unlike the unsigned table this replaces, where + * it stood for the infinity. + * + * Index | Index (binary) | Value + * 0 | 0000 | 2**208G - 2**156G - 2**104G - 2**52G - G + * 1 | 0001 | 2**208G - 2**156G - 2**104G - 2**52G + G + * ... | ... | ... + * 15 | 1111 | 2**208G + 2**156G + 2**104G + 2**52G + G + * * This is ~2KB of data. */ -static const limb kPrecomputed[NLIMBS * 2 * 15 * 2] = { - 0x11522878, 0xe730d41, 0xdb60179, 0x4afe2ff, 0x12883add, 0xcaddd88, 0x119e7edc, 0xd4a6eab, 0x3120bee, - 0x1d2aac15, 0xf25357c, 0x19e45cdd, 0x5c721d0, 0x1992c5a5, 0xa237487, 0x154ba21, 0x14b10bb, 0xae3fe3, - 0xd41a576, 0x922fc51, 0x234994f, 0x60b60d3, 0x164586ae, 0xce95f18, 0x1fe49073, 0x3fa36cc, 0x5ebcd2c, - 0xb402f2f, 0x15c70bf, 0x1561925c, 0x5a26704, 0xda91e90, 0xcdc1c7f, 0x1ea12446, 0xe1ade1e, 0xec91f22, - 0x26f7778, 0x566847e, 0xa0bec9e, 0x234f453, 0x1a31f21a, 0xd85e75c, 0x56c7109, 0xa267a00, 0xb57c050, - 0x98fb57, 0xaa837cc, 0x60c0792, 0xcfa5e19, 0x61bab9e, 0x589e39b, 0xa324c5, 0x7d6dee7, 0x2976e4b, - 0x1fc4124a, 0xa8c244b, 0x1ce86762, 0xcd61c7e, 0x1831c8e0, 0x75774e1, 0x1d96a5a9, 0x843a649, 0xc3ab0fa, - 0x6e2e7d5, 0x7673a2a, 0x178b65e8, 0x4003e9b, 0x1a1f11c2, 0x7816ea, 0xf643e11, 0x58c43df, 0xf423fc2, - 0x19633ffa, 0x891f2b2, 0x123c231c, 0x46add8c, 0x54700dd, 0x59e2b17, 0x172db40f, 0x83e277d, 0xb0dd609, - 0xfd1da12, 0x35c6e52, 0x19ede20c, 0xd19e0c0, 0x97d0f40, 0xb015b19, 0x449e3f5, 0xe10c9e, 0x33ab581, - 0x56a67ab, 0x577734d, 0x1dddc062, 0xc57b10d, 0x149b39d, 0x26a9e7b, 0xc35df9f, 0x48764cd, 0x76dbcca, - 0xca4b366, 0xe9303ab, 0x1a7480e7, 0x57e9e81, 0x1e13eb50, 0xf466cf3, 0x6f16b20, 0x4ba3173, 0xc168c33, - 0x15cb5439, 0x6a38e11, 0x73658bd, 0xb29564f, 0x3f6dc5b, 0x53b97e, 0x1322c4c0, 0x65dd7ff, 0x3a1e4f6, - 0x14e614aa, 0x9246317, 0x1bc83aca, 0xad97eed, 0xd38ce4a, 0xf82b006, 0x341f077, 0xa6add89, 0x4894acd, - 0x9f162d5, 0xf8410ef, 0x1b266a56, 0xd7f223, 0x3e0cb92, 0xe39b672, 0x6a2901a, 0x69a8556, 0x7e7c0, - 0x9b7d8d3, 0x309a80, 0x1ad05f7f, 0xc2fb5dd, 0xcbfd41d, 0x9ceb638, 0x1051825c, 0xda0cf5b, 0x812e881, - 0x6f35669, 0x6a56f2c, 0x1df8d184, 0x345820, 0x1477d477, 0x1645db1, 0xbe80c51, 0xc22be3e, 0xe35e65a, - 0x1aeb7aa0, 0xc375315, 0xf67bc99, 0x7fdd7b9, 0x191fc1be, 0x61235d, 0x2c184e9, 0x1c5a839, 0x47a1e26, - 0xb7cb456, 0x93e225d, 0x14f3c6ed, 0xccc1ac9, 0x17fe37f3, 0x4988989, 0x1a90c502, 0x2f32042, 0xa17769b, - 0xafd8c7c, 0x8191c6e, 0x1dcdb237, 0x16200c0, 0x107b32a1, 0x66c08db, 0x10d06a02, 0x3fc93, 0x5620023, - 0x16722b27, 0x68b5c59, 0x270fcfc, 0xfad0ecc, 0xe5de1c2, 0xeab466b, 0x2fc513c, 0x407f75c, 0xbaab133, - 0x9705fe9, 0xb88b8e7, 0x734c993, 0x1e1ff8f, 0x19156970, 0xabd0f00, 0x10469ea7, 0x3293ac0, 0xcdc98aa, - 0x1d843fd, 0xe14bfe8, 0x15be825f, 0x8b5212, 0xeb3fb67, 0x81cbd29, 0xbc62f16, 0x2b6fcc7, 0xf5a4e29, - 0x13560b66, 0xc0b6ac2, 0x51ae690, 0xd41e271, 0xf3e9bd4, 0x1d70aab, 0x1029f72, 0x73e1c35, 0xee70fbc, - 0xad81baf, 0x9ecc49a, 0x86c741e, 0xfe6be30, 0x176752e7, 0x23d416, 0x1f83de85, 0x27de188, 0x66f70b8, - 0x181cd51f, 0x96b6e4c, 0x188f2335, 0xa5df759, 0x17a77eb6, 0xfeb0e73, 0x154ae914, 0x2f3ec51, 0x3826b59, - 0xb91f17d, 0x1c72949, 0x1362bf0a, 0xe23fddf, 0xa5614b0, 0xf7d8f, 0x79061, 0x823d9d2, 0x8213f39, - 0x1128ae0b, 0xd095d05, 0xb85c0c2, 0x1ecb2ef, 0x24ddc84, 0xe35e901, 0x18411a4a, 0xf5ddc3d, 0x3786689, - 0x52260e8, 0x5ae3564, 0x542b10d, 0x8d93a45, 0x19952aa4, 0x996cc41, 0x1051a729, 0x4be3499, 0x52b23aa, - 0x109f307e, 0x6f5b6bb, 0x1f84e1e7, 0x77a0cfa, 0x10c4df3f, 0x25a02ea, 0xb048035, 0xe31de66, 0xc6ecaa3, - 0x28ea335, 0x2886024, 0x1372f020, 0xf55d35, 0x15e4684c, 0xf2a9e17, 0x1a4a7529, 0xcb7beb1, 0xb2a78a1, - 0x1ab21f1f, 0x6361ccf, 0x6c9179d, 0xb135627, 0x1267b974, 0x4408bad, 0x1cbff658, 0xe3d6511, 0xc7d76f, - 0x1cc7a69, 0xe7ee31b, 0x54fab4f, 0x2b914f, 0x1ad27a30, 0xcd3579e, 0xc50124c, 0x50daa90, 0xb13f72, - 0xb06aa75, 0x70f5cc6, 0x1649e5aa, 0x84a5312, 0x329043c, 0x41c4011, 0x13d32411, 0xb04a838, 0xd760d2d, - 0x1713b532, 0xbaa0c03, 0x84022ab, 0x6bcf5c1, 0x2f45379, 0x18ae070, 0x18c9e11e, 0x20bca9a, 0x66f496b, - 0x3eef294, 0x67500d2, 0xd7f613c, 0x2dbbeb, 0xb741038, 0xe04133f, 0x1582968d, 0xbe985f7, 0x1acbc1a, - 0x1a6a939f, 0x33e50f6, 0xd665ed4, 0xb4b7bd6, 0x1e5a3799, 0x6b33847, 0x17fa56ff, 0x65ef930, 0x21dc4a, - 0x2b37659, 0x450fe17, 0xb357b65, 0xdf5efac, 0x15397bef, 0x9d35a7f, 0x112ac15f, 0x624e62e, 0xa90ae2f, - 0x107eecd2, 0x1f69bbe, 0x77d6bce, 0x5741394, 0x13c684fc, 0x950c910, 0x725522b, 0xdc78583, 0x40eeabb, - 0x1fde328a, 0xbd61d96, 0xd28c387, 0x9e77d89, 0x12550c40, 0x759cb7d, 0x367ef34, 0xae2a960, 0x91b8bdc, - 0x93462a9, 0xf469ef, 0xb2e9aef, 0xd2ca771, 0x54e1f42, 0x7aaa49, 0x6316abb, 0x2413c8e, 0x5425bf9, - 0x1bed3e3a, 0xf272274, 0x1f5e7326, 0x6416517, 0xea27072, 0x9cedea7, 0x6e7633, 0x7c91952, 0xd806dce, - 0x8e2a7e1, 0xe421e1a, 0x418c9e1, 0x1dbc890, 0x1b395c36, 0xa1dc175, 0x1dc4ef73, 0x8956f34, 0xe4b5cf2, - 0x1b0d3a18, 0x3194a36, 0x6c2641f, 0xe44124c, 0xa2f4eaa, 0xa8c25ba, 0xf927ed7, 0x627b614, 0x7371cca, - 0xba16694, 0x417bc03, 0x7c0a7e3, 0x9c35c19, 0x1168a205, 0x8b6b00d, 0x10e3edc9, 0x9c19bf2, 0x5882229, - 0x1b2b4162, 0xa5cef1a, 0x1543622b, 0x9bd433e, 0x364e04d, 0x7480792, 0x5c9b5b3, 0xe85ff25, 0x408ef57, - 0x1814cfa4, 0x121b41b, 0xd248a0f, 0x3b05222, 0x39bb16a, 0xc75966d, 0xa038113, 0xa4a1769, 0x11fbc6c, - 0x917e50e, 0xeec3da8, 0x169d6eac, 0x10c1699, 0xa416153, 0xf724912, 0x15cd60b7, 0x4acbad9, 0x5efc5fa, - 0xf150ed7, 0x122b51, 0x1104b40a, 0xcb7f442, 0xfbb28ff, 0x6ac53ca, 0x196142cc, 0x7bf0fa9, 0x957651, - 0x4e0f215, 0xed439f8, 0x3f46bd5, 0x5ace82f, 0x110916b6, 0x6db078, 0xffd7d57, 0xf2ecaac, 0xca86dec, - 0x15d6b2da, 0x965ecc9, 0x1c92b4c2, 0x1f3811, 0x1cb080f5, 0x2d8b804, 0x19d1c12d, 0xf20bd46, 0x1951fa7, - 0xa3656c3, 0x523a425, 0xfcd0692, 0xd44ddc8, 0x131f0f5b, 0xaf80e4a, 0xcd9fc74, 0x99bb618, 0x2db944c, - 0xa673090, 0x1c210e1, 0x178c8d23, 0x1474383, 0x10b8743d, 0x985a55b, 0x2e74779, 0x576138, 0x9587927, - 0x133130fa, 0xbe05516, 0x9f4d619, 0xbb62570, 0x99ec591, 0xd9468fe, 0x1d07782d, 0xfc72e0b, 0x701b298, - 0x1863863b, 0x85954b8, 0x121a0c36, 0x9e7fedf, 0xf64b429, 0x9b9d71e, 0x14e2f5d8, 0xf858d3a, 0x942eea8, - 0xda5b765, 0x6edafff, 0xa9d18cc, 0xc65e4ba, 0x1c747e86, 0xe4ea915, 0x1981d7a1, 0x8395659, 0x52ed4e2, - 0x87d43b7, 0x37ab11b, 0x19d292ce, 0xf8d4692, 0x18c3053f, 0x8863e13, 0x4c146c0, 0x6bdf55a, 0x4e4457d, - 0x16152289, 0xac78ec2, 0x1a59c5a2, 0x2028b97, 0x71c2d01, 0x295851f, 0x404747b, 0x878558d, 0x7d29aa4, - 0x13d8341f, 0x8daefd7, 0x139c972d, 0x6b7ea75, 0xd4a9dde, 0xff163d8, 0x81d55d7, 0xa5bef68, 0xb7b30d8, - 0xbe73d6f, 0xaa88141, 0xd976c81, 0x7e7a9cc, 0x18beb771, 0xd773cbd, 0x13f51951, 0x9d0c177, 0x1c49a78, +static const limb kPrecomputed[NLIMBS * 2 * 16 * 2] = { + 0xe01bd76, 0xa0be8b3, 0x8494c1d, 0x609ab3d, 0x1188042f, 0x499c03d, 0x1df7cd26, 0x51b33c5, 0x1fb3bce, + 0x39cdd45, 0xdc0dd9b, 0xe3053d7, 0x1ffaf46, 0x9ac284a, 0xac051d4, 0x1c09fe1b, 0x8227cbf, 0x5bf049b, + 0xb9487d, 0x2ecb75f, 0x194825bf, 0xd70cf28, 0x14e528f3, 0x4d8670c, 0x35bbabb, 0x6b692ca, 0xd96d08, + 0x1db081dc, 0xa87ea7b, 0x190e5549, 0xa4cf420, 0x1e151385, 0xaf3d4bd, 0x4057e9f, 0x5078feb, 0x154519a, + 0xbf15dea, 0x453fa25, 0x1171c85a, 0x576c824, 0x154e7060, 0x71ede6e, 0x160467a2, 0xdea8a44, 0x81ffcb1, + 0x61a56fa, 0x76119b9, 0x110bfb9b, 0x3d527ea, 0x1997bdb4, 0xe1d1253, 0x180ce91c, 0x11950ee, 0x53d5938, + 0x694e7c9, 0xe0cf337, 0x16d8ae50, 0x202517f, 0x4d02e16, 0xd13b5fd, 0xfae97eb, 0xa1c7f60, 0x1206fe8, + 0x11b1c908, 0xf8a82f, 0x6ab17a0, 0x48058e8, 0x2d0feb, 0xfada550, 0x658edb9, 0xa17567a, 0x8daa44d, + 0x6361dc9, 0xec00c0e, 0x151a7b1c, 0xb35a683, 0x1643fe02, 0x70155c0, 0x1f131d45, 0x3998068, 0x25beef8, + 0x88138de, 0x8995ce4, 0x18565c50, 0x60f12b6, 0xc47a656, 0x4a82bd9, 0xb547a17, 0xb333474, 0xe86513a, + 0x7f8d2bc, 0x7f0f16c, 0x8cde475, 0x1ac3d5c, 0x1a832c9a, 0x6a93e7a, 0x19833281, 0xcec82db, 0x4f08cc, + 0x72c4394, 0x4686520, 0x1e845ce, 0xfb181a1, 0xf5135a5, 0xa1265d6, 0x6c63ce8, 0xe81797e, 0x5dbcd5a, + 0x2a5d603, 0x1ad4e91, 0xc86e1b3, 0x793abea, 0x1b8610a4, 0x8d5b975, 0x74dd850, 0xbbca81, 0xd7c35d8, + 0x1bab7afc, 0x4df749, 0x4acb4ea, 0xfae8c89, 0x14552ae5, 0x6dc1c20, 0x14f629f, 0x2368fe5, 0xe5a9cba, + 0x67576f7, 0x9c77c50, 0x1d63c92a, 0xbbb9ef8, 0xa7530d4, 0x963335, 0xfa09c54, 0xb6d03e3, 0xed1a022, + 0x19c59f49, 0x45c823d, 0x17a28df1, 0x80ae516, 0xe2ada82, 0x19b97fb, 0x13a9ebf, 0xf1e7606, 0xde03632, + 0x14e318b9, 0x7b57b83, 0x51a9a92, 0x3378a17, 0x1cde9289, 0x45956c2, 0x2bbab5e, 0x780b1f5, 0x8356034, + 0x75eca28, 0x6f39648, 0xf2fdbda, 0x4c65cd9, 0xb3759e7, 0x710c0b1, 0xda24432, 0x8d236aa, 0xf4c449f, + 0xaf9ba24, 0xb83ea7f, 0x1e46ecc3, 0x3f277b0, 0x6acdecd, 0x1f597d1, 0x8483d72, 0x57d29dd, 0x66d4060, + 0x167c14af, 0xc142ded, 0xc1689ca, 0x651aa52, 0x8d05768, 0x9709cfa, 0x165fd283, 0x9f6f583, 0x9833b54, + 0xd17e2d6, 0x2915c32, 0x1970ef24, 0xe8ca45b, 0x11c29e09, 0x8121f26, 0xb5afbe1, 0x10c80ec, 0x834a25c, + 0xa37f0b0, 0xd6bac16, 0xed484fc, 0x8799206, 0x13db8bb1, 0xdce615c, 0x13320329, 0x79dc25, 0x914e7af, + 0x860a414, 0xb8a9434, 0x50396ce, 0x902d3e6, 0x15c152f3, 0x3753c64, 0x970c055, 0xba296fb, 0x64bd63b, + 0x118cbb94, 0x9d4274f, 0x121cdbfe, 0xb9137cf, 0xc8bddf1, 0xa1598d0, 0x446ab41, 0x11f1df2, 0x68115f1, + 0x2f1f708, 0xee35192, 0x1dfeb3fc, 0x4e1e1a6, 0x1d9adcbb, 0x6688662, 0x63ad21b, 0x9d9a9e1, 0xb0f8b4b, + 0xcd8bc3a, 0x3577d8, 0x1ffcb97d, 0xd31e8d6, 0x1c776310, 0x95b4ef7, 0x185a82ed, 0xe40bbb0, 0xbca1ea, + 0x19462e0b, 0x2252179, 0x14f14f09, 0x565e68d, 0x7ba5f37, 0x4cd1858, 0x167941b3, 0x4d1c7a7, 0x7aef1ab, + 0x1599efe9, 0x658e78d, 0x1ad33917, 0x7e74797, 0x19152edc, 0xdf7dc18, 0xdf677c, 0x9315d96, 0x4ba8eec, + 0xc45cd82, 0x1acfa03, 0xe265b49, 0xcfa6eb, 0x89d7619, 0x7b05, 0x1ba11068, 0xe1672d3, 0x655622a, + 0x1607ca6, 0x339049, 0x5454f70, 0x10edd75, 0x1133ceb7, 0xe3eec39, 0xc263156, 0xeb6ddbe, 0x10360a7, + 0xfd5f981, 0x47dd502, 0x1e66dbbe, 0x8820b63, 0xeee91ef, 0xffde293, 0xb66325d, 0x3a5a2a, 0x6a2acbb, + 0x11e949bc, 0xf6a6d57, 0x6b2ca24, 0xad903ec, 0x1e55de0, 0xe7074ed, 0xe681934, 0xea44010, 0xaa490cc, + 0x512324a, 0x6a5eb00, 0xee5e100, 0xd60a02b, 0x1b89c993, 0x5cffb70, 0xa49030c, 0x405aee, 0xe1b27cc, + 0x2e73a15, 0x9ca8dc0, 0x781dbff, 0x9fd85e0, 0x1884e4c8, 0x40873f6, 0x32d4b69, 0xf42f753, 0xeaf4c38, + 0x2802a4c, 0x1283dac, 0x759100a, 0xcb3ba75, 0xf3203d3, 0xf89b8aa, 0x7caa59e, 0x384a60a, 0x37f69e7, + 0x1e56d569, 0x120c552, 0x181734aa, 0x4fcd9b4, 0x7918e4e, 0xcd7938a, 0x2bbd8b2, 0x19f4f97, 0xa7af533, + 0xbb69948, 0x3eff33e, 0x1f3ac118, 0x3739770, 0x58898fd, 0x623fafb, 0xa7e6d93, 0xd31a676, 0x615192d, + 0xf543d28, 0xe61ce5a, 0x10ae4b39, 0xcd5a8d7, 0x1b34c6de, 0x81997ad, 0x198e2093, 0xd9b6ff7, 0x9a5954f, + 0x16782589, 0xed3c1ab, 0x62dc4a5, 0xac12d0c, 0x8bc8b7c, 0x168ec4e, 0x177e11dc, 0x407df09, 0x4056e85, + 0x9858305, 0xfe445e9, 0x18b1230a, 0x815ee9f, 0xa852eb4, 0x89444e0, 0x1a83481, 0x479359b, 0x2192576, + 0x16d5e61b, 0xfe480c4, 0x1d60b8b7, 0x1c6e798, 0x1a01310, 0x9998572, 0x7c59f75, 0x49dda87, 0xe75e0b6, + 0x1b2b7536, 0xb267d8, 0x15443085, 0x45e5924, 0x7fb947f, 0x296915d, 0x38fc56b, 0x4bae39f, 0xb218e7c, + 0x115c3b16, 0x9d95f0c, 0xa50ac4c, 0xcce8037, 0xc3c7ba3, 0xf02773a, 0xbc2ad54, 0x26914c1, 0x19a4b8d, + 0x3f8a1a6, 0xa0b8459, 0x1f77a521, 0x7d93297, 0x1dddb4b2, 0x9e4cd1c, 0x6e28403, 0xd7ce413, 0x5575b62, + 0x12bb7dc1, 0xbdfb15e, 0xa542867, 0xe943d3e, 0x1367fbdd, 0x37b387, 0x14e4d75f, 0xb90b09d, 0xbf6ec28, + 0xa5182c8, 0x1e5b34e, 0xabe4602, 0x1c13efa, 0x8d1182, 0x1c2947a, 0x1e04e0e3, 0x6caecdb, 0x40f14e8, + 0x1b845e4a, 0xa9fb149, 0xb34f513, 0x3a0fdbb, 0xfad2335, 0x5bb9342, 0x18c5ad62, 0xc97fdc3, 0x31225c7, + 0xb28a9ee, 0x585915, 0x1e355da1, 0x26ed08e, 0xc7d06a, 0xa65f219, 0x1fdf45cd, 0xc8323ea, 0x297b9ee, + 0x1c031098, 0x9c39cf0, 0x1287d79f, 0x69a9e32, 0x10015650, 0x1c3dfc3, 0x12dcd848, 0x3155a59, 0xeff3212, + 0x1a6ecdd0, 0xd26bd07, 0x18e077ab, 0x442b477, 0x46b735f, 0x495d60c, 0x1b57a6e5, 0x76a368a, 0xf53bd50, + 0xf12c5e0, 0x80a9b4, 0x15562060, 0x4102113, 0xa144ab5, 0x5fa4e9, 0x1009f5e9, 0xe34343a, 0x26fda5a, + 0x159e06a4, 0x5fa3aad, 0x10259b5f, 0xa69947d, 0x1190417e, 0x987da3f, 0x14e1e868, 0xdcb7e1e, 0x8890f9f, + 0x14dece80, 0x94bbf5c, 0x18513a17, 0x4ca31ca, 0xc0a2713, 0xbc46074, 0x1536f6a5, 0x43991aa, 0xb9f8f1c, + 0x987ba48, 0xb0829ae, 0xd29d324, 0x6339c35, 0x18ace0a4, 0x5d53b55, 0xff829f4, 0xe882ecf, 0xc05164c, + 0x6bd6bba, 0x9dfc14f, 0x1981cab3, 0xcfebf18, 0x1ddac868, 0x94ec6d4, 0x5abd4b, 0x737fdb3, 0x18f531f, + 0xd3c2a71, 0x337178f, 0x9f7c32e, 0xd9d7fda, 0x137d191f, 0xdd0757b, 0x14b6d65, 0x179f37a, 0x67b10e1, + 0x1bfb2cfd, 0xfe4ca43, 0x1fee2930, 0x98c2aa0, 0x9826788, 0xeaf4ceb, 0x17a6be82, 0xc899ed1, 0x500fb01, + 0x10918e6f, 0x36179ed, 0xbca6643, 0x2d80942, 0xf1ef61, 0xadca21c, 0xbe5b3a7, 0xadae157, 0x12daac, + 0x1337dda8, 0x6326e5d, 0x2738e1b, 0x5cb5c54, 0x98ec8a0, 0x252647d, 0x1d5c173c, 0xbdf848d, 0x9e5217b, + 0x1d64f447, 0xb71d1a, 0xb2c2360, 0xccb6bee, 0x1245995e, 0x94a9130, 0x5b93d91, 0x76c57ff, 0xeaa91d1, + 0x3941881, 0xc2aafbd, 0x1c0540d0, 0x1a938f0, 0x1304b724, 0x8524e10, 0x1bef780f, 0xbc0ea48, 0xbe90dae, + 0x1d10d5d8, 0xca979e2, 0x10db5cc4, 0x54e2493, 0x44d38f3, 0xbcb73b, 0x12dcff4, 0xd0ab219, 0xde69db2, + 0x13594366, 0xc30e05f, 0xfc245d4, 0x8c5b52f, 0x81901c7, 0xa9d1e03, 0x11ead62e, 0xb7be89b, 0xc9c8486, + 0x132a6fa0, 0x56af9b8, 0x41cb561, 0xf74418c, 0x141c461a, 0xbc18514, 0x1d6bbb68, 0x96d43c2, 0x7108696 }; diff --git a/cbits/include64/p256/p256.h b/cbits/include64/p256/p256.h --- a/cbits/include64/p256/p256.h +++ b/cbits/include64/p256/p256.h @@ -83,16 +83,9 @@ const crypton_p256_int* b, crypton_p256_int* c); -// b := 1 / a % MOD -// MOD best be SECP256r1_n -void crypton_p256_modinv( - const crypton_p256_int* MOD, - const crypton_p256_int* a, - crypton_p256_int* b); - -// b := 1 / a % MOD +// b := 1 / a % MOD, in time that depends on a // MOD best be SECP256r1_n -// Faster than crypton_p256_modinv() +// Answers zero for an a that has no inverse, which is zero and MOD void crypton_p256_modinv_vartime( const crypton_p256_int* MOD, const crypton_p256_int* a, @@ -130,13 +123,6 @@ void crypton_p256_base_point_mul(const crypton_p256_int *n, crypton_p256_int *out_x, crypton_p256_int *out_y); - -// {out_x,out_y} := n{in_x,in_y} -void crypton_p256_point_mul(const crypton_p256_int *n, - const crypton_p256_int *in_x, - const crypton_p256_int *in_y, - crypton_p256_int *out_x, - crypton_p256_int *out_y); // {out_x,out_y} := n1G + n2{in_x,in_y} void crypton_p256_points_mul_vartime( diff --git a/cbits/include64/p256/p256_gf.h b/cbits/include64/p256/p256_gf.h --- a/cbits/include64/p256/p256_gf.h +++ b/cbits/include64/p256/p256_gf.h @@ -63,6 +63,38 @@ #define NLIMBS 5 typedef limb felem[NLIMBS]; +/* On AArch64, the three functions that do the field arithmetic are asked to + * be inlined rather than left for the compiler to decide. + * + * felem_mul and felem_square end in felem_reduce_degree, a carry chain the + * whole width of the number, and that chain is what their latency is: one + * product feeding the next costs 18.1 ns on an Apple M4, while four + * independent ones cost 11.4 ns each. The curve arithmetic has independent + * products to offer -- the two squarings that open a point doubling, the + * multiplication and the squaring that close it -- but only if the compiler + * can see one reduction while the other is still going. Left alone it emits + * felem_reduce_degree once and calls it, and a call is a fence: the two + * chains cannot overlap. Plain `inline` does not change its mind. + * + * Asking costs code: this file's object goes from 30 to 116 kilobytes. That + * is worth it where there are registers to hold two chains at once and not + * where there are not, which is the architecture talking rather than the + * compiler. Measured on a variable-point scalar multiplication: + * + * Apple M4, Apple clang 21 1.23x + * Neoverse, clang 18 1.12x + * Neoverse, gcc 13 1.05x + * EPYC 7763, clang 18 0.95x + * Xeon 8370C, gcc 13 0.82x + * + * so x86-64 keeps the compiler's own judgement. + */ +#if defined(__aarch64__) && (defined(__GNUC__) || defined(__clang__)) +#define FELEM_INLINE static inline __attribute__((always_inline)) +#else +#define FELEM_INLINE static +#endif + static const limb kBottom51Bits = 0x7ffffffffffff; static const limb kBottom52Bits = 0xfffffffffffff; @@ -72,102 +104,111 @@ 2, 0xfc00000000000, 0x7ffffffffffff, 0xfff7fffffffff, 0x7ffff }; static const felem kZero = {0}; + +/* the curve's b, in Montgomery form, for the complete addition formula */ +static const felem kB = { + 0x1bec453897bbf, 0x33e210c243627, 0x484bb5ab3c017, 0x41a32d11055fb, + 0x2e18030ec243a +}; static const felem kP = { 0x7ffffffffffff, 0x1fffffffffff, 0, 0x4000000000, 0x3fffffffc0000 }; static const felem k2P = { 0x7fffffffffffe, 0x3fffffffffff, 0, 0x8000000000, 0x7fffffff80000 }; -/* kPrecomputed contains precomputed values to aid the calculation of scalar - * multiples of the base point, G. It's actually two, equal length, tables - * concatenated. +/* kPrecomputed holds the multiples of the base point G that the comb in + * scalar_base_mult reads. Two tables of sixteen affine points, one after the + * other. * - * The first table contains (x,y) felem pairs for 16 multiples of the base - * point, G. + * The comb takes five bits of the signed all-bits-set representation at a + * time, from positions 52 apart, and the two tables are offset from each + * other by 26: * - * Index | Index (binary) | Value - * 0 | 0000 | 0G (all zeros, omitted) - * 1 | 0001 | G - * 2 | 0010 | 2**64G - * 3 | 0011 | 2**64G + G - * 4 | 0100 | 2**128G - * 5 | 0101 | 2**128G + G - * 6 | 0110 | 2**128G + 2**64G - * 7 | 0111 | 2**128G + 2**64G + G - * 8 | 1000 | 2**192G - * 9 | 1001 | 2**192G + G - * 10 | 1010 | 2**192G + 2**64G - * 11 | 1011 | 2**192G + 2**64G + G - * 12 | 1100 | 2**192G + 2**128G - * 13 | 1101 | 2**192G + 2**128G + G - * 14 | 1110 | 2**192G + 2**128G + 2**64G - * 15 | 1111 | 2**192G + 2**128G + 2**64G + G + * first table i, 52+i, 104+i, 156+i, 208+i + * second table 26+i, 78+i, 130+i, 182+i, 234+i * - * The second table follows the same style, but the terms are 2**32G, - * 2**96G, 2**160G, 2**224G. + * for i from 25 down to 0, which covers all 260 bits between them. * + * Every digit of that representation is +-1, so a block of five teeth takes + * one of thirty-two values -- and they come in pairs that differ only by + * sign. So sixteen entries are enough: the top tooth is taken positive, bit + * j of the index says that tooth j agrees with it, and where the top tooth is + * negative the caller negates y, which costs a subtraction. Entry zero is a + * point like any other here, unlike the unsigned table this replaces, where + * it stood for the infinity. + * + * Index | Index (binary) | Value + * 0 | 0000 | 2**208G - 2**156G - 2**104G - 2**52G - G + * 1 | 0001 | 2**208G - 2**156G - 2**104G - 2**52G + G + * ... | ... | ... + * 15 | 1111 | 2**208G + 2**156G + 2**104G + 2**52G + G + * * This is ~2KB of data. */ -static const limb kPrecomputed[NLIMBS * 2 * 15 * 2] = { - 0x661a831522878, 0xf17fb6d805e79, 0x5889441d6ea57, 0xae33cfdb995bb, 0xc482fbb529ba, - 0x4a6af9d2aac15, 0x90e867917377c, 0x487cc962d2ae3, 0xec2a97443446e, 0x2b8ff8c52c42, - 0x45f8a2d41a576, 0xb06988d2653e4, 0x718b22c357305, 0x33fc920e79d2b, 0x17af34b0fe8db, - 0x38e17eb402f2f, 0x3382558649705, 0x47f6d48f482d1, 0x7bd42488d9b83, 0x3b247c8b86b78, - 0x4d08fc26f7778, 0x7a29a82fb2795, 0x75cd18f90d11a, 0xad8e213b0bc, 0x2d5f0142899e8, - 0x506f98098fb57, 0x2f0c98301e4aa, 0x39b30dd5cf67d, 0x9c146498ab13c, 0xa5db92df5b7b, - 0x184897fc4124a, 0xe3f73a19d8aa, 0x4e1c18e47066b, 0x27b2d4b52eaee, 0x30eac3ea10e99, - 0x4e74546e2e7d5, 0x1f4dde2d97a1d, 0x6ead0f88e1200, 0x7dec87c220f02, 0x3d08ff096310f, - 0x23e5659633ffa, 0x6ec648f08c722, 0x3172a3806ea35, 0xf6e5b681eb3c5, 0x2c3758260f89d, - 0x38dca4fd1da12, 0xf06067b78830d, 0x3194be87a068c, 0x78893c7eb602b, 0xcead60438432, - 0x6ee69a56a67ab, 0xd886f77701895, 0x67b0a4d9cee2b, 0x3586bbf3e4d53, 0x1db6f32921d93, - 0x260756ca4b366, 0x4f40e9d2039fa, 0x4f3f09f5a82bf, 0xccde2d641e8cd, 0x305a30cd2e8c5, - 0x471c235cb5439, 0xab279cd962f5a, 0x17e1fb6e2dd94, 0xfe64589800a77, 0xe8793d99775f, - 0x48c62f4e614aa, 0xbf76ef20eb2a4, 0x669c672556c, 0x24683e0eff056, 0x12252b369ab76, - 0x821de9f162d5, 0xf911ec99a95be, 0x6721f065c906b, 0x58d452035c736, 0x1f9f01a6a15, - 0x6135009b7d8d3, 0xdaeeeb417dfc0, 0x63865fea0ee17, 0x6e0a304b939d6, 0x204ba2076833d, - 0x4ade586f35669, 0x2c1077e34611a, 0x5b1a3bea3b81a, 0xf97d018a22c8b, 0x38d7996b08af8, - 0x6ea62baeb7aa0, 0xebdcbd9ef2670, 0x35dc8fe0df3fe, 0xe458309d20c24, 0x11e87898716a0, - 0x7c44bab7cb456, 0xd64d3cf1bb64, 0x189bff1bf9e66, 0xb5218a049311, 0x285dda6cbcc81, - 0x3238dcafd8c7c, 0x607736c8de0, 0xdb83d99508b1, 0x4e1a0d404cd81, 0x1588008c00ff2, - 0x16b8b36722b27, 0x876609c3f3f1a, 0x66b72ef0e17d6, 0x705f8a279d568, 0x2eaac4cd01fdd, - 0x1171ce9705fe9, 0xffc79cd3264ee, 0x700c8ab4b80f0, 0x208d3d4f57a1, 0x337262a8ca4eb, - 0x297fd01d843fd, 0xa90956fa097f8, 0x529759fdb3845, 0x1d78c5e2d0397, 0x3d6938a4adbf3, - 0x16d5853560b66, 0xf138946b9a430, 0x2ab79f4dea6a0, 0xd42053ee43ae1, 0x3b9c3ef1cf870, - 0x598934ad81baf, 0x5f1821b1d07a7, 0x416bb3a973ff3, 0x23f07bd0a047a, 0x19bdc2e09f786, - 0x56dc9981cd51f, 0xfbace23c8cd65, 0x673bd3bf5b52e, 0x46a95d229fd61, 0xe09ad64bcfb1, - 0xe5292b91f17d, 0xfeefcd8afc287, 0x58f52b0a58711, 0x4800f20c201ef, 0x2084fce608f67, - 0x12ba0b128ae0b, 0x5977ae17030b4, 0x101126ee420f6, 0xf70823495c6bd, 0xde19a27d7770, - 0x5c6ac852260e8, 0x9d22950ac4356, 0x441cca955246c, 0x660a34e5332d9, 0x14ac8ea92f8d2, - 0x6b6d7709f307e, 0x67d7e13879db, 0x2ea8626f9fbbd, 0x99609006a4b40, 0x31bb2a8f8c779, - 0x10c04828ea335, 0xae9acdcbc080a, 0x617af2342607a, 0xc7494ea53e553, 0x2ca9e2872defa, - 0x6c399fab21f1f, 0xab139b245e758, 0x3ad933dcba589, 0x4797fecb08811, 0x31f5dbf8f594, - 0x7dc6361cc7a69, 0xc8a7953ead3f9, 0x79ed693d18015, 0x418a024999a6a, 0x2c4fdc9436aa, - 0x1eb98cb06aa75, 0x2989592796a9c, 0x11194821e425, 0xe27a648228388, 0x35d834b6c12a0, - 0x541807713b532, 0x7ae0a1008aaee, 0x7017a29bcb5e, 0x6b193c23c315c, 0x19bd25ac82f2a, - 0x6a01a43eef294, 0xddf5b5fd84f19, 0x33f5ba081c016, 0xdeb052d1bc082, 0x6b2f06afa617, - 0x7ca1eda6a939f, 0xbdeb35997b50c, 0x47f2d1bccda5, 0xc2ff4adfed667, 0x87712997be4, - 0x21fc2e2b37659, 0xf7d62cd5ed951, 0x27fa9cbdf7efa, 0xba25582bf3a6b, 0x2a42b8bd89398, - 0x6d377d07eecd2, 0x9ca1df5af387, 0x1109e3427e2ba, 0xce4aa4572a19, 0x103baaef71e16, - 0x2c3b2dfde328a, 0xbec4b4a30e1ef, 0x37d92a86204f3, 0x806cfde68eb39, 0x246e2f72b8aa5, - 0x68d3de93462a9, 0x53b8acba6bbc3, 0x2492a70fa1696, 0x38c62d5760f55, 0x15096fe4904f2, - 0x4e44e9bed3e3a, 0xb28bfd79cc9bc, 0x6a77513839320, 0x480dcec6739db, 0x3601b739f2465, - 0x43c348e2a7e1, 0xe448106327879, 0x175d9cae1b0ed, 0xd3b89dee743b8, 0x392d73ca255bc, - 0x32946db0d3a18, 0x9261b09907cc, 0x5ba517a755722, 0x51f24fdaf5184, 0x1cdc732989ed8, - 0x2f7806ba16694, 0xae0c9f029f8d0, 0xd8b45102ce1, 0xca1c7db9316d6, 0x162088a67066f, - 0x39de35b2b4162, 0xa19f550d88ae9, 0x7921b27026cde, 0x94b936b66e900, 0x1023bd5fa17fc, - 0x436837814cfa4, 0x29113492283c4, 0x66d1cdd8b51d8, 0xa540702278eb2, 0x47ef1b29285d, - 0x587b50917e50e, 0xb4cda75bab3b, 0x112520b0a9886, 0x66b9ac16fee49, 0x17bf17e92b2eb, - 0x2456a2f150ed7, 0xfa214412d0280, 0x3ca7dd947fe5b, 0xa72c28598d58a, 0x255d945efc3e, - 0x2873f04e0f215, 0x74178fd1af57b, 0x788848b5b2d6, 0xb1ffafaae0db6, 0x32a1b7b3cbb2a, - 0x4bd9935d6b2da, 0x9c08f24ad30a5, 0x4e58407a80f, 0x1b3a3825a5b17, 0x6547e9fc82f5, - 0x47484aa3656c3, 0x6ee43f341a494, 0x64a98f87adea2, 0x619b3f8e95f01, 0xb6e513266ed8, - 0x421c2a673090, 0xa1c1de32348c7, 0x55b85c3a1e8a3, 0xe05ce8ef330b4, 0x2561e49c15d84, - 0x40aa2d33130fa, 0x12b827d35866f, 0xfe4cf62c8ddb, 0x2fa0ef05bb28d, 0x1c06ca63f1cb8, - 0x32a971863863b, 0xff6fc86830da1, 0x71e7b25a14cf3, 0xea9c5ebb1373a, 0x250bbaa3e1634, - 0x5b5ffeda5b765, 0xf25d2a746331b, 0x115e3a3f43632, 0x67303af43c9d5, 0x14bb538a0e559, - 0x75623687d43b7, 0xa349674a4b38d, 0x613c61829ffc6, 0x689828d8110c7, 0x139115f5af7d5, - 0xf1d856152289, 0x45cbe967168ab, 0x51f38e1680901, 0x34808e8f652b0, 0x1f4a6a921e156, - 0x35dfaf3d8341f, 0xf53ace725cb63, 0x3d86a54eef35b, 0xa103aabaffe2c, 0x2decc36296fbd, - 0x510282be73d6f, 0xd4e6365db206a, 0x4bdc5f5bb8bf3, 0xde7ea32a3aee7, 0x71269e274305, +static const limb kPrecomputed[NLIMBS * 2 * 16 * 2] = { + 0x17d166e01bd76, 0xd59ea12530768, 0x3d8c40217b04, 0x17bef9a4c9338, 0x7ecef3946ccf, + 0x1bb3639cdd45, 0xd7a338c14f5f7, 0x1d44d614250ff, 0xff813fc37580a, 0x16fc126e089f2, + 0x596ebe0b9487d, 0x6794652096fcb, 0x70ca729479eb8, 0x286b775769b0c, 0x365b421ada4b, + 0xfd4f7db081dc, 0x7a1064395526a, 0x4bdf0a89c2d26, 0xac80afd3f5e7a, 0x551466941e3f, + 0x27f44abf15dea, 0x641245c721691, 0x66eaa738302bb, 0x12c08cf44e3db, 0x207ff2c77aa29, + 0x42337261a56fa, 0x93f5442fee6dd, 0x253ccbdeda1ea, 0xbb019d239c3a2, 0x14f564e046543, + 0x19e66e694e7c9, 0x28bfdb62b9438, 0x5fd268170b101, 0x81f5d2fd7a276, 0x481bfa2871fd, + 0x71505f1b1c908, 0x2c741aac5e803, 0x55001687f5a40, 0xe8cb1db73f5b4, 0x236a913685d59, + 0x181c6361dc9, 0xd341d469ec73b, 0x5c0b21ff0159a, 0xa3e263a8ae02a, 0x96fbbe0e6601, + 0x32b9c888138de, 0x895b615971422, 0x3d9623d32b307, 0xd16a8f42e9505, 0x3a1944eacccd1, + 0x61e2d87f8d2bc, 0x1eae233791d5f, 0x67ad41964d0d6, 0x6f3066502d527, 0x13c23333b20b, + 0x50ca4072c4394, 0xc0d087a117391, 0x5d67a89ad2fd8, 0xf8d8c79d1424c, 0x176f356ba05e5, + 0x5a9d222a5d603, 0xd5f5321b86cc6, 0x175dc308523c9, 0x4e9bb0a11ab7, 0x35f0d7602ef2a, + 0x1bee93bab7afc, 0x464492b2d3a81, 0x420a2a9572fd7, 0x9429ec53edb83, 0x396a72e88da3f, + 0xef8a067576f7, 0xcf7c758f24aa7, 0x33553a986a5dd, 0x8df4138a812c6, 0x3b46808adb40f, + 0x39047b9c59f49, 0x728b5e8a37c51, 0x7fb7156d41405, 0x182753d7e3372, 0x3780d8cbc79d8, + 0x6af7074e318b9, 0xc50b946a6a49e, 0x6c2e6f494499b, 0xd457756bc8b2a, 0x20d580d1e02c7, + 0x672c9075eca28, 0x2e6cbcbf6f69b, 0xb159bacf3a63, 0xa9b448864e218, 0x3d31127e348da, + 0x7d4feaf9ba24, 0x3bd8791bb30ee, 0x7d13566f669f9, 0x750907ae43eb2, 0x19b501815f4a7, + 0x285bdb67c14af, 0xd529305a272b0, 0x4fa4682bb4328, 0xecbfa5072e13, 0x260ced527dbd6, + 0x22b864d17e2d6, 0x522de5c3bc90a, 0x7268e14f04f46, 0xb16b5f7c30243, 0x20d2897043203, + 0x57582ca37f0b0, 0xc9033b5213f35, 0x15c9edc5d8c3c, 0x966640653b9cc, 0x24539ebc1e770, + 0x152868860a414, 0x69f3140e5b3ae, 0x464ae0a979c81, 0xed2e180aa6ea7, 0x192f58eee8a5b, + 0x284e9f18cbb94, 0x9be7c8736ffa7, 0xd0645eef8dc8, 0xc888d568342b3, 0x1a0457c447c77, + 0x46a3242f1f708, 0xf0d377facff3b, 0x662ecd6e5da70, 0x84c75a436cd10, 0x2c3e2d2e766a7, + 0x6aefb0cd8bc3a, 0xf46b7ff2e5f40, 0x6f7e3bb188698, 0xc30b505db2b69, 0x2f287ab902ee, + 0x4a42f39462e0b, 0xf346d3c53c248, 0x583dd2f9bab2, 0x9ecf2836699a3, 0x1ebbc6ad3471e, + 0x31cf1b599efe9, 0xa3cbeb4ce45d9, 0x418c8a976e3f3, 0x581becef9befb, 0x12ea3bb24c576, + 0x59f406c45cd82, 0xd375b8996d246, 0x30544ebb0c867, 0x4f74220d0000f, 0x195588ab859cb, + 0x6720921607ca6, 0x6eba95153dc00, 0x439899e75b887, 0xf984c62adc7dd, 0x40d829fadb76, + 0x7baa04fd5f981, 0x5b1f99b6ef91, 0x29377748f7c41, 0xa96cc64bbffbc, 0x1a8ab2ec0e968, + 0x54daaf1e949bc, 0x81f61acb2893d, 0x4ed0f2aef056c, 0x41cd03269ce0e, 0x2a924333a9100, + 0x4bd600512324a, 0x5015bb978401a, 0x370dc4e4c9eb0, 0xb94920618b9ff, 0x386c9f301016b, + 0x151b802e73a15, 0xc2f01e076ffe7, 0x3f6c4272644fe, 0x4c65a96d2810e, 0x3abd30e3d0bdd, + 0x507b582802a4c, 0xdd3a9d6440284, 0xaa79901e9e59, 0x28f954b3df137, 0xdfda79ce1298, + 0x418aa5e56d569, 0x6cda605cd2a84, 0x38a3c8c72727e, 0x5c577b1659af2, 0x29ebd4cc67d3e, + 0x5fe67cbb69948, 0xcbb87ceb0460f, 0x2fb2c44c7e9b9, 0xd94fcdb26c47f, 0x185464b74c699, + 0x439cb4f543d28, 0xd46bc2b92ce79, 0x7add9a636f66a, 0xdf31c41270332, 0x2696553f66dbf, + 0x2783576782589, 0x968618b71297b, 0x44e45e45be560, 0x26efc23b82d1d, 0x1015ba1501f7c, + 0x488bd29858305, 0xf74fe2c48c2bf, 0x4e0542975a40a, 0x6c35069031288, 0x86495d91e4d6, + 0x4901896d5e61b, 0x73cc7582e2dff, 0x5720d009880e3, 0x1cf8b3eeb3330, 0x39d782d92776a, + 0x64cfb1b2b7536, 0x2c925510c2142, 0x15d3fdca3fa2f, 0x7c71f8ad652d2, 0x2c8639f12eb8e, + 0x32be1915c3b16, 0x401ba942b1327, 0x73a61e3dd1e67, 0x57855aa9e04e, 0x6692e349a453, + 0x1708b23f8a1a6, 0x994bfdde94868, 0x51ceeeda593ec, 0x4cdc508073c99, 0x155d6d8b5f390, + 0x3f62bd2bb7dc1, 0x1e9f2950a19ef, 0x3879b3fdeef4a, 0x769c9aebe06f6, 0x2fdbb0a2e42c2, + 0x4b669ca5182c8, 0x9f7d2af918087, 0x47a04688c10e0, 0x6fc09c1c63852, 0x103c53a1b2bb3, + 0x3f6293b845e4a, 0x7eddacd3d44ea, 0x3427d6919a9d0, 0xf18b5ac4b772, 0xc48971f25ff7, + 0x30b22ab28a9ee, 0x684778d576841, 0x219063e835137, 0xabfbe8b9b4cbe, 0xa5ee7bb20c8f, + 0x739e1c031098, 0x4f194a1f5e7e7, 0x7c3800ab2834d, 0x665b9b090387b, 0x3bfcc848c5569, + 0x4d7a0fa6ecdd0, 0x5a3be381deaf4, 0x60c235b9afa21, 0x2b6af4dca92ba, 0x3d4ef541da8da, + 0x15368f12c5e0, 0x1089d55881802, 0x4e950a255aa08, 0xea013ebd20bf4, 0x9bf696b8d0d0, + 0x74755b59e06a4, 0xca3ec0966d7d7, 0x23f8c820bf534, 0x7a9c3d0d130fb, 0x22243e7f72df8, + 0x177eb94dece80, 0x18e56144e85e5, 0x746051389a65, 0xaaa6ded4b788c, 0x2e7e3c710e646, + 0x10535c987ba48, 0xce1ab4a74c92c, 0x355c567052319, 0x3dff053e8baa7, 0x30145933a20bb, + 0x3f829e6bd6bba, 0x5f8c66072ace7, 0x6d4eed643467f, 0xcc0b57a9729d8, 0x63d4c7dcdff6, + 0x6e2f1ed3c2a71, 0xbfed27df0cb8c, 0x57b9be8c8fece, 0xe8296dacbba0e, 0x19ec43845e7cd, + 0x499487bfb2cfd, 0x15507fb8a4c3f, 0x4eb4c133c44c6, 0x46f4d7d05d5e9, 0x1403ec072267b, + 0x42f3db0918e6f, 0x4a12f29990cd, 0x21c078f7b096c, 0x5d7cb674f5b94, 0x4b6ab2b6b85, + 0x64dcbb337dda8, 0xae2a09ce386d8, 0x47d4c764502e5, 0x37ab82e784a4c, 0x279485eef7e12, + 0x6e3a35d64f447, 0xb5f72cb08d802, 0x130922ccaf665, 0xfcb727b232952, 0x3aaa4745db15f, + 0x555f7a3941881, 0x9c78701503430, 0x6109825b920d4, 0x237def01f0a49, 0x2fa436baf03a9, + 0x52f3c5d10d5d8, 0x1249c36d73132, 0x73b2269c79aa7, 0x6425b9fe81796, 0x379a76cb42ac8, + 0x61c0bf3594366, 0xda97bf0917530, 0x60340c80e3c62, 0x6e3d5ac5d53a3, 0x3272121adefa2, + 0x55f37132a6fa0, 0x20c61072d5855, 0x514a0e230d7ba, 0xbad776d17830, 0x1c421a5a5b50f }; @@ -278,7 +319,7 @@ * * On entry: tmp[i] < 2**128 * On exit: out[0,2,...] < 2**52, out[1,3,...] < 2**53 */ -static void felem_reduce_degree(felem out, u128 tmp[9]) { +FELEM_INLINE void felem_reduce_degree(felem out, u128 tmp[9]) { /* The following table may be helpful when reading this code: * * Limb number: 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 @@ -468,7 +509,7 @@ * * On entry: in[0,2,...] < 2**52, in[1,3,...] < 2**53. * On exit: out[0,2,...] < 2**52, out[1,3,...] < 2**53. */ -static void felem_square(felem out, const felem in) { +FELEM_INLINE void felem_square(felem out, const felem in) { u128 tmp[9], x1x1, x3x3; x1x1 = ((u128) in[1]) * in[1]; @@ -496,7 +537,7 @@ * On entry: in[0,2,...] < 2**52, in[1,3,...] < 2**53 and * in2[0,2,...] < 2**52, in2[1,3,...] < 2**53. * On exit: out[0,2,...] < 2**52, out[1,3,...] < 2**53. */ -static void felem_mul(felem out, const felem in, const felem in2) { +FELEM_INLINE void felem_mul(felem out, const felem in, const felem in2) { u128 tmp[9], x1y1, x1y3, x3y1, x3y3; x1y1 = ((u128) in[1]) * in2[1]; diff --git a/cbits/include64/p256/p256_s2n.h b/cbits/include64/p256/p256_s2n.h new file mode 100644 --- /dev/null +++ b/cbits/include64/p256/p256_s2n.h @@ -0,0 +1,25 @@ +/* + * The vendored s2n-bignum assembly, behind one call that picks the variant + * the machine wants. See cbits/s2n/README.md for which and why. + * + * Only declared in the 64-bit field build: s2n-bignum is x86-64 and AArch64 + * only, and this interface is the four little-endian 64-bit words those + * architectures give crypton_p256_int anyway. + */ +#ifndef CRYPTON_P256_S2N_H +#define CRYPTON_P256_S2N_H + +#include + +/* res = scalar * point, all of them affine and not in Montgomery form: + * point is x then y, four words each, and res the same. The point at + * infinity goes in and comes out as (0, 0). */ +void crypton_s2n_p256_scalarmul(uint64_t res[8], const uint64_t scalar[4], + const uint64_t point[8]); + +/* res = scalar * G, the same shape out. The table it reads and the window + * width it was built for are in cbits/p256/p256_base_table.c, which + * cbits/p256/gen_base_table.py writes. */ +void crypton_s2n_p256_scalarmulbase(uint64_t res[8], const uint64_t scalar[4]); + +#endif diff --git a/cbits/p256/gen_base_table.py b/cbits/p256/gen_base_table.py new file mode 100644 --- /dev/null +++ b/cbits/p256/gen_base_table.py @@ -0,0 +1,126 @@ +#!/usr/bin/env python3 +"""Build the two tables of multiples of the base point that crypton reads. + + ./gen_base_table.py 5 p256_base_table.c # for p256_scalarmulbase + ./gen_base_table.py odd 7 p256_wnaf_table.c # for p256_verify.c + +Its own words for the layout: for each i, j with blocksize*i <= 256 and +1 <= j <= B, where B = 2^(blocksize-1), the multiple 2^(blocksize*i) * j * P +goes at tab + 64*(B*i + (j-1)), as a Montgomery-affine pair, four +little-endian 64-bit words each. + +Five is the blocksize crypton ships: on an Apple M4 it is 6.40 microseconds +against 7.15 for four and 6.10 for six, and the table is 52 KiB against 33 +and 88. Nothing outside this file knows the number -- it is written into +the generated file and read from there. + +The curve constants come from `openssl ecparam`, not from memory, and the +generated table is checked against crypton's own base-point multiplication +by the test suite, so a mistake here does not pass quietly. +""" +import subprocess, re, sys + +def curve(): + out = subprocess.run(["openssl","ecparam","-name","prime256v1", + "-param_enc","explicit","-text","-noout"], + capture_output=True, text=True).stdout + f, cur = {}, None + for line in out.splitlines(): + m = re.match(r'^(Prime|A|B|Generator \(uncompressed\)|Order):?\s*$', line.strip()) + if m: + cur = m.group(1); f[cur] = ""; continue + if cur and re.match(r'^\s+[0-9a-f]{2}[:0-9a-f]*:?\s*$', line): + f[cur] += line.strip() + elif cur and line and not line.startswith(' '): + cur = None + def num(s): + return int.from_bytes(bytes(int(v,16) for v in s.strip(':').split(':') if v), 'big') + g = bytes(int(v,16) for v in f['Generator (uncompressed)'].strip(':').split(':') if v) + assert g[0] == 4 and len(g) == 65 + return (num(f['Prime']), num(f['A']), num(f['B']), + int.from_bytes(g[1:33],'big'), int.from_bytes(g[33:],'big'), num(f['Order'])) + +P, A, B, GX, GY, N = curve() +assert (GY*GY - GX**3 - A*GX - B) % P == 0, "the generator is not on the curve" + +def add(p, q): + if p is None: return q + if q is None: return p + (x1,y1),(x2,y2) = p,q + if x1 == x2: + if (y1 + y2) % P == 0: return None + l = (3*x1*x1 + A) * pow(2*y1, -1, P) % P + else: + l = (y2-y1) * pow(x2-x1, -1, P) % P + x3 = (l*l - x1 - x2) % P + return (x3, (l*(x1-x3) - y1) % P) + +R = 1 << 256 +def mont(v): return v * R % P +def words(v): return [(v >> (64*k)) & 0xFFFFFFFFFFFFFFFF for k in range(4)] + +def table(blocksize): + Bn = 1 << (blocksize - 1) + blocks = 256 // blocksize + 1 + out = [] + base = (GX, GY) # 2^(blocksize*i) * P + for i in range(blocks): + acc = None + for j in range(1, Bn + 1): + acc = add(acc, base) # j * base + out.append(acc) + for _ in range(blocksize): + base = add(base, base) + return blocks, Bn, out + +def odd_table(width): + """The odd multiples 1P, 3P, ..., (2^(width-1)-1)P, which is what the + windowed form in cbits/p256/p256_verify.c reads for the base point.""" + n = 1 << (width - 2) + twice = add((GX, GY), (GX, GY)) + out, acc = [], (GX, GY) + for _ in range(n): + out.append(acc) + acc = add(acc, twice) + return out + +def emit_odd(width, path): + pts = odd_table(width) + with open(path, 'w') as fh: + fh.write("/* Generated by cbits/p256/gen_base_table.py; do not hand-edit.\n" + " * The odd multiples of the base point, in Montgomery-affine\n" + " * form, which cbits/p256/p256_verify.c reads. A verification\n" + " * is public, so this table is walked in variable time. */\n") + fh.write("#include \n\n") + fh.write(f"const uint64_t crypton_p256_wnaf_width = {width};\n\n") + fh.write(f"const uint64_t crypton_p256_wnaf_table[{len(pts)*8}] = {{\n") + for (x, y) in pts: + ws = words(mont(x)) + words(mont(y)) + fh.write("\t" + ",".join(f"0x{w:016x}ULL" for w in ws) + ",\n") + fh.write("};\n") + return len(pts), len(pts) * 64 + +def emit(blocksize, path): + blocks, Bn, pts = table(blocksize) + with open(path, 'w') as fh: + fh.write("/* Generated by cbits/p256/gen_base_table.py; do not hand-edit.\n" + " * The multiples of the base point that s2n-bignum's\n" + " * p256_scalarmulbase reads, in Montgomery-affine form. */\n") + fh.write("#include \n\n") + fh.write(f"const uint64_t crypton_p256_s2n_base_blocksize = {blocksize};\n\n") + fh.write(f"const uint64_t crypton_p256_s2n_base_table[{len(pts)*8}] = {{\n") + for (x, y) in pts: + ws = words(mont(x)) + words(mont(y)) + fh.write("\t" + ",".join(f"0x{w:016x}ULL" for w in ws) + ",\n") + fh.write("};\n") + return blocks, Bn, len(pts)*64 + +if __name__ == "__main__": + if sys.argv[1] == "odd": + w = int(sys.argv[2]); path = sys.argv[3] + n, size = emit_odd(w, path) + print(f"width {w}: {n} odd multiples = {size} bytes") + else: + b = int(sys.argv[1]); path = sys.argv[2] + blocks, Bn, size = emit(b, path) + print(f"blocksize {b}: {blocks} blocks x {Bn} = {size} bytes") diff --git a/cbits/p256/p256.c b/cbits/p256/p256.c --- a/cbits/p256/p256.c +++ b/cbits/p256/p256.c @@ -39,6 +39,15 @@ #include "p256/p256.h" +#ifdef CRYPTON_S2N_BIGNUM +extern void bignum_modinv(uint64_t k, uint64_t *z, const uint64_t *a, + const uint64_t *b, uint64_t *t); +/* the digits are handed over as they lie */ +#if P256_BITSPERDIGIT != 64 || P256_NDIGITS != 4 +#error "CRYPTON_S2N_BIGNUM wants the 64-bit crypton_p256_int" +#endif +#endif + const crypton_p256_int crypton_SECP256r1_n = // curve order {{P256_LITERAL(0xfc632551, 0xf3b9cac2), P256_LITERAL(0xa7179e84, 0xbce6faad), P256_LITERAL(-1, -1), P256_LITERAL(0, -1)}}; @@ -104,7 +113,9 @@ borrow += top_c; borrow -= top_a; top_c = (crypton_p256_digit)borrow; - assert((borrow >> P256_BITSPERDIGIT) == 0); + /* A borrow out is a legitimate outcome: the quotient estimate in + crypton_p256_modmul can exceed the true quotient by one. Report it in + the returned top digit (all ones) and let the caller correct. */ return top_c; } @@ -178,6 +189,13 @@ // Subtract reducer from top | tmp. top = subTop(top_reducer, reducer, top, tmp + i); + // The quotient estimate above can exceed the true quotient by one -- + // with 64-bit digits, whenever the low half of top is zero and the + // digits below it are small -- and the subtraction then borrows. The + // deficit is always less than MOD, so adding MOD back once restores + // the invariant. + top = addM(MOD, top, tmp + i, 0 - (top >> (P256_BITSPERDIGIT - 1))); + // top is now either 0 or 1. Make it 0, fixed-timing. assert(top <= 1); @@ -205,7 +223,11 @@ n %= P256_BITSPERDIGIT; for (i = P256_NDIGITS - 1; i > 0; --i) { crypton_p256_digit accu = (P256_DIGIT(a, i) << n); - accu |= (P256_DIGIT(a, i - 1) >> (P256_BITSPERDIGIT - n)); + /* n is zero as often as it is anything else, and a digit shifted by its + * own width is undefined: x86 takes the count modulo the width and hands + * back the whole digit, ARM hands back nothing. Two shifts that are each + * inside the width say the intended nothing on both. */ + accu |= (P256_DIGIT(a, i - 1) >> (P256_BITSPERDIGIT - 1 - n) >> 1); P256_DIGIT(b, i) = accu; } P256_DIGIT(b, i) = (P256_DIGIT(a, i) << n); @@ -221,7 +243,8 @@ n %= P256_BITSPERDIGIT; for (i = 0; i < P256_NDIGITS - 1; ++i) { crypton_p256_digit accu = (P256_DIGIT(a, i) >> n); - accu |= (P256_DIGIT(a, i + 1) << (P256_BITSPERDIGIT - n)); + /* the same full-width shift as in crypton_p256_shl above */ + accu |= (P256_DIGIT(a, i + 1) << (P256_BITSPERDIGIT - 1 - n) << 1); P256_DIGIT(b, i) = accu; } P256_DIGIT(b, i) = (P256_DIGIT(a, i) >> n); @@ -235,8 +258,11 @@ accu |= (P256_DIGIT(a, i + 1) << (P256_BITSPERDIGIT - 1)); P256_DIGIT(b, i) = accu; } + /* The shift is unsigned: highbit is a carry, zero or one, and one shifted + * into the sign bit of the signed digit is an overflow the standard leaves + * undefined. The value put into b is the same either way. */ P256_DIGIT(b, i) = (P256_DIGIT(a, i) >> 1) | - (((crypton_p256_sdigit) highbit) << (P256_BITSPERDIGIT - 1)); + (((crypton_p256_digit) highbit) << (P256_BITSPERDIGIT - 1)); } // Return -1, 0, 1 for a < b, a == b or a > b respectively. @@ -303,6 +329,22 @@ crypton_p256_int U = *MOD; crypton_p256_int V = *a; + /* Zero has no inverse, and the loop below never finds that out: V stays + even forever, so it is halved forever, and the only break is in the + branch both U and V have to be odd to reach. The other input without an + inverse is MOD itself -- 2*MOD does not fit in 256 bits, so there is no + third -- and that one already leaves here as zero, which is also what + Crypto.PubKey.ECC.P256's scalarInvSafe answers for both. Answer the + same for zero rather than not answering. + + Reachable: Crypto.PubKey.ECC.P256 exports scalarInv, and scalarFromBinary + accepts any 256 bits. A hang inside a foreign call cannot be interrupted + by System.Timeout either. */ + if (crypton_p256_is_zero(a)) { + crypton_p256_clear(b); + return; + } + for (;;) { if (crypton_p256_is_even(&U)) { crypton_p256_shr1(&U, 0, &U); @@ -343,13 +385,12 @@ } // Verify y^2 == x^3 - 3x + b mod p -// and 0 < x < p and 0 < y < p +// and 0 <= x < p and 0 < y < p int crypton_p256_is_valid_point(const crypton_p256_int* x, const crypton_p256_int* y) { crypton_p256_int y2, x3; if (crypton_p256_cmp(&crypton_SECP256r1_p, x) <= 0 || crypton_p256_cmp(&crypton_SECP256r1_p, y) <= 0 || - crypton_p256_is_zero(x) || crypton_p256_is_zero(y)) return 0; crypton_p256_modmul(&crypton_SECP256r1_p, y, 0, y, &y2); // y^2 @@ -361,6 +402,7 @@ if (crypton_p256_sub(&x3, x, &x3)) crypton_p256_add(&x3, &crypton_SECP256r1_p, &x3); // x^3 - 3x if (crypton_p256_add(&x3, &crypton_SECP256r1_b, &x3)) // x^3 - 3x + b crypton_p256_sub(&x3, &crypton_SECP256r1_p, &x3); + crypton_p256_mod(&crypton_SECP256r1_p, &x3, &x3); return crypton_p256_cmp(&y2, &x3) == 0; } @@ -471,6 +513,16 @@ // b = 1/a mod n, using Fermat's little theorem. void crypton_p256e_scalar_invert(const crypton_p256_int* a, crypton_p256_int* b) { +#ifdef CRYPTON_S2N_BIGNUM + /* The assembly, which takes a fixed number of division steps instead: 0.80 + * microseconds against 6.02 on an Apple M4. It answers zero where a has no + * inverse, which is what the chain below does as well, and the caller reads + * a zero as "no inverse". */ + uint64_t t[12]; + + bignum_modinv(4, P256_DIGITS(b), P256_DIGITS(a), + P256_DIGITS(&crypton_SECP256r1_n), t); +#else crypton_p256_int _1, _10, _11, _101, _111, _1010, _1111; crypton_p256_int _10101, _101010, _101111, x6, x8, x16, x32; int i; @@ -525,4 +577,5 @@ // Demontgomerize crypton_p256e_montmul(b, &crypton_SECP256r1_one, b); +#endif } diff --git a/cbits/p256/p256_base_table.c b/cbits/p256/p256_base_table.c new file mode 100644 --- /dev/null +++ b/cbits/p256/p256_base_table.c @@ -0,0 +1,841 @@ +/* Generated by cbits/p256/gen_base_table.py; do not hand-edit. + * The multiples of the base point that s2n-bignum's + * p256_scalarmulbase reads, in Montgomery-affine form. */ +#include + +const uint64_t crypton_p256_s2n_base_blocksize = 5; + +const uint64_t crypton_p256_s2n_base_table[6656] = { + 0x79e730d418a9143cULL,0x75ba95fc5fedb601ULL,0x79fb732b77622510ULL,0x18905f76a53755c6ULL,0xddf25357ce95560aULL,0x8b4ab8e4ba19e45cULL,0xd2e88688dd21f325ULL,0x8571ff1825885d85ULL, + 0x850046d410ddd64dULL,0xaa6ae3c1a433827dULL,0x732205038d1490d9ULL,0xf6bb32e43dcf3a3bULL,0x2f3648d361bee1a5ULL,0x152cd7cbeb236ff8ULL,0x19a8fb0e92042dbeULL,0x78c577510a5b8a3bULL, + 0xffac3f904eebc127ULL,0xb027f84a087d81fbULL,0x66ad77dd87cbbc98ULL,0x26936a3fb6ff747eULL,0xb04c5c1fc983a7ebULL,0x583e47ad0861fe1aULL,0x788208311a2ee98eULL,0xd5f06a29e587cc07ULL, + 0x74b0b50d46918dccULL,0x4650a6edc623c173ULL,0x0cdaacace8100af2ULL,0x577362f541b0176bULL,0x2d96f24ce4cbaba6ULL,0x17628471fad6f447ULL,0x6b6c36dee5ddd22eULL,0x84b14c394c5ab863ULL, + 0xbe1b8aaec45c61f5ULL,0x90ec649a94b9537dULL,0x941cb5aad076c20cULL,0xc9079605890523c8ULL,0xeb309b4ae7ba4f10ULL,0x73c568efe5eb882bULL,0x3540a9877e7a1f68ULL,0x73a076bb2dd1e916ULL, + 0x403947373e77664aULL,0x55ae744f346cee3eULL,0xd50a961a5b17a3adULL,0x13074b5954213673ULL,0x93d36220d377e44bULL,0x299c2b53adff14b5ULL,0xf424d44cef639f11ULL,0xa4c9916d4a07f75fULL, + 0x0746354ea0173b4fULL,0x2bd20213d23c00f7ULL,0xf43eaab50c23bb08ULL,0x13ba5119c3123e03ULL,0x2847d0303f5b9d4dULL,0x6742f2f25da67bddULL,0xef933bdc77c94195ULL,0xeaedd9156e240867ULL, + 0x27f14cd19499a78fULL,0x462ab5c56f9b3455ULL,0x8f90f02af02cfc6bULL,0xb763891eb265230dULL,0xf59da3a9532d4977ULL,0x21e3327dcf9eba15ULL,0x123c7b84be60bbf0ULL,0x56ec12f27706df76ULL, + 0x75c96e8f264e20e8ULL,0xabe6bfed59a7a841ULL,0x2cc09c0444c8eb00ULL,0xe05b3080f0c4e16bULL,0x1eb7777aa45f3314ULL,0x56af7bedce5d45e3ULL,0x2b6e019a88b12f1aULL,0x086659cdfd835f9bULL, + 0x2c18dbd19dc21ec8ULL,0x98f9868a0fcf8139ULL,0x737d2cd648250b49ULL,0xcc61c94724b3428fULL,0x0c2b407880dd9e76ULL,0xc43a8991383fbe08ULL,0x5f7d2d65779be5d2ULL,0x78719a54eb3b4ab5ULL, + 0xea7d260a6245e404ULL,0x9de407956e7fdfe0ULL,0x1ff3a4158dac1ab5ULL,0x3e7090f1649c9073ULL,0x1a7685612b944e88ULL,0x250f939ee57f61c8ULL,0x0c0daa891ead643dULL,0x68930023e125b88eULL, + 0x04b71aa7d2697768ULL,0xabdedef5ca345a33ULL,0x2409d29dee37385eULL,0x4ee1df77cb83e156ULL,0x0cac12d91cbb5b43ULL,0x170ed2f6ca895637ULL,0x28228cfa8ade6d66ULL,0x7ff57c9553238acaULL, + 0xccc425634b2ed709ULL,0x0e356769856fd30dULL,0xbcbcd43f559e9811ULL,0x738477ac5395b759ULL,0x35752b90c00ee17fULL,0x68748390742ed2e3ULL,0x7cd06422bd1f5bc1ULL,0xfbc08769c9e7b797ULL, + 0xa242a35bb0cf664aULL,0x126e48f77f9707e3ULL,0x1717bf54c6832660ULL,0xfaae7332fd12c72eULL,0x27b52db7995d586bULL,0xbe29569e832237c2ULL,0xe8e4193e2a65e7dbULL,0x152706dc2eaa1bbbULL, + 0x72bcd8b7bc60055bULL,0x03cc23ee56e27e4bULL,0xee337424e4819370ULL,0xe2aa0e430ad3da09ULL,0x40b8524f6383c45dULL,0xd766355442a41b25ULL,0x64efa6de778a4797ULL,0x2042170a7079adf4ULL, + 0x808b0b650bc6fb80ULL,0x5882e0753ffe2e6bULL,0xd5ef2f7c2c83f549ULL,0x54d63c809103b723ULL,0xf2f11bd652a23f9bULL,0x3670c3194b0b6587ULL,0x55c4623bb1580e9eULL,0x64edf7b201efe220ULL, + 0xd8c5fccfc5e3a3d8ULL,0xbefd904c4079dfbfULL,0xbc6d6a58fead0197ULL,0x39227077695532a4ULL,0x09e23e6ddbef42f5ULL,0x7e449b64480a9908ULL,0x7b969c1aad9a2e40ULL,0x6231d7929591c2a4ULL, + 0xdb6d96f305968b80ULL,0x380a0913089f73b9ULL,0x7da70b83c2c61e01ULL,0x95fb8394569b38c7ULL,0x9a3c651280edfe2fULL,0x8f726bb98faeaf82ULL,0x8010a4a078424bf8ULL,0x296720440e844970ULL, + 0x802b8d2333e12b70ULL,0x6d490a4b19dd329bULL,0x14f356cc6abc354dULL,0x11eddf7fd0a0da0dULL,0x1e208328d87fd1d8ULL,0xfd2f4f8cfd025813ULL,0x03b48cc47c29bca2ULL,0x3f2a78b3241a2b71ULL, + 0x63c5cb817a2ad62aULL,0x7ef2b6b9ac62ff54ULL,0x3749bba4b3ad9db5ULL,0xad311f2c46d5a617ULL,0xb77a8087c2ff3b6dULL,0xb46feaf3367834ffULL,0xf8aa266d75d6b138ULL,0xfa38d320ec008188ULL, + 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0x923ea73e4a14f836ULL,0xc8cc8c57f0946328ULL,0xce3f117fe917a4dfULL,0x6372f933f72ce929ULL,0x75000249c29ba567ULL,0xcbd437e68c829ccaULL,0x6c63aaabdd02ec7aULL,0xe9b2f90c7b42bd17ULL, + 0xdb09e87355dbd4b3ULL,0x1f8799286639bbb1ULL,0xb83e47e51c651962ULL,0xd4ef0fb6c43fb574ULL,0x27d3b9d8f1bfb12aULL,0x6ab877e86e5e8b72ULL,0x8eebdc9d157b9014ULL,0x4c2110053aa5cb64ULL, +}; diff --git a/cbits/p256/p256_ec.c b/cbits/p256/p256_ec.c --- a/cbits/p256/p256_ec.c +++ b/cbits/p256/p256_ec.c @@ -33,8 +33,18 @@ // See http://www.imperialviolet.org/2010/12/04/ecc.html ([1]) for background. #include "p256/p256_gf.h" +#include "crypton_bzero.h" +#ifdef CRYPTON_S2N_BIGNUM +#include "p256/p256_s2n.h" +#include "p256/p256_verify.h" +/* the memcpy below is the two representations being the same thing */ +#if P256_BITSPERDIGIT != 64 || P256_NDIGITS != 4 +#error "CRYPTON_S2N_BIGNUM wants the 64-bit crypton_p256_int" +#endif +#endif + /* Field element operations: */ /* felem_inv calculates |out| = |in|^{-1} @@ -43,69 +53,95 @@ * a^p = a (mod p) * a^{p-1} = 1 (mod p) * a^{p-2} = a^{-1} (mod p) - */ + * + * The exponent is built left to right from the shape of p - 2, which for + * this prime is + * + * ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff fffffffd + * \__32 ones__/ \_31 zeros, one 1_/ \______ 96 zeros ______/ \_94 ones, 0, 1_/ + * + * A run of k zeros is k squarings; a run of k ones is k squarings and one + * multiplication by a^(2^k - 1), which is why the powers below are kept. The + * whole chain is 255 squarings, which is the least an exponent of 256 bits + * can be done in, and 13 multiplications. + * + * The chain this replaces built the low 94 ones in a second accumulator and + * multiplied the two at the end, which cost 32 squarings more than the 255. */ static void felem_inv(felem out, const felem in) { - felem ftmp, ftmp2; - /* each e_I will hold |in|^{2^I - 1} */ - felem e2, e4, e8, e16, e32, e64; + felem ftmp, x2, x4, x8, x16, x32; unsigned i; - felem_square(ftmp, in); /* 2^1 */ - felem_mul(ftmp, in, ftmp); /* 2^2 - 2^0 */ - felem_assign(e2, ftmp); - felem_square(ftmp, ftmp); /* 2^3 - 2^1 */ - felem_square(ftmp, ftmp); /* 2^4 - 2^2 */ - felem_mul(ftmp, ftmp, e2); /* 2^4 - 2^0 */ - felem_assign(e4, ftmp); - felem_square(ftmp, ftmp); /* 2^5 - 2^1 */ - felem_square(ftmp, ftmp); /* 2^6 - 2^2 */ - felem_square(ftmp, ftmp); /* 2^7 - 2^3 */ - felem_square(ftmp, ftmp); /* 2^8 - 2^4 */ - felem_mul(ftmp, ftmp, e4); /* 2^8 - 2^0 */ - felem_assign(e8, ftmp); + /* x{k} holds in^(2^k - 1), a run of k ones. */ + felem_square(ftmp, in); + felem_mul(x2, ftmp, in); /* 2^2 - 1 */ + + felem_square(ftmp, x2); + felem_square(ftmp, ftmp); + felem_mul(x4, ftmp, x2); /* 2^4 - 1 */ + + felem_assign(ftmp, x4); + for (i = 0; i < 4; i++) { + felem_square(ftmp, ftmp); + } + felem_mul(x8, ftmp, x4); /* 2^8 - 1 */ + + felem_assign(ftmp, x8); for (i = 0; i < 8; i++) { felem_square(ftmp, ftmp); - } /* 2^16 - 2^8 */ - felem_mul(ftmp, ftmp, e8); /* 2^16 - 2^0 */ - felem_assign(e16, ftmp); + } + felem_mul(x16, ftmp, x8); /* 2^16 - 1 */ + + felem_assign(ftmp, x16); for (i = 0; i < 16; i++) { felem_square(ftmp, ftmp); - } /* 2^32 - 2^16 */ - felem_mul(ftmp, ftmp, e16); /* 2^32 - 2^0 */ - felem_assign(e32, ftmp); + } + felem_mul(x32, ftmp, x16); /* 2^32 - 1 */ + + /* The top 32 ones. */ + felem_assign(ftmp, x32); + + /* 31 zeros and a one: the 00000001 word. */ for (i = 0; i < 32; i++) { felem_square(ftmp, ftmp); - } /* 2^64 - 2^32 */ - felem_assign(e64, ftmp); - felem_mul(ftmp, ftmp, in); /* 2^64 - 2^32 + 2^0 */ - for (i = 0; i < 192; i++) { + } + felem_mul(ftmp, ftmp, in); + + /* 96 zeros. */ + for (i = 0; i < 96; i++) { felem_square(ftmp, ftmp); - } /* 2^256 - 2^224 + 2^192 */ + } - felem_mul(ftmp2, e64, e32); /* 2^64 - 2^0 */ + /* 94 ones, as 32 + 32 + 16 + 8 + 4 + 2. */ + for (i = 0; i < 32; i++) { + felem_square(ftmp, ftmp); + } + felem_mul(ftmp, ftmp, x32); + for (i = 0; i < 32; i++) { + felem_square(ftmp, ftmp); + } + felem_mul(ftmp, ftmp, x32); for (i = 0; i < 16; i++) { - felem_square(ftmp2, ftmp2); - } /* 2^80 - 2^16 */ - felem_mul(ftmp2, ftmp2, e16); /* 2^80 - 2^0 */ + felem_square(ftmp, ftmp); + } + felem_mul(ftmp, ftmp, x16); for (i = 0; i < 8; i++) { - felem_square(ftmp2, ftmp2); - } /* 2^88 - 2^8 */ - felem_mul(ftmp2, ftmp2, e8); /* 2^88 - 2^0 */ + felem_square(ftmp, ftmp); + } + felem_mul(ftmp, ftmp, x8); for (i = 0; i < 4; i++) { - felem_square(ftmp2, ftmp2); - } /* 2^92 - 2^4 */ - felem_mul(ftmp2, ftmp2, e4); /* 2^92 - 2^0 */ - felem_square(ftmp2, ftmp2); /* 2^93 - 2^1 */ - felem_square(ftmp2, ftmp2); /* 2^94 - 2^2 */ - felem_mul(ftmp2, ftmp2, e2); /* 2^94 - 2^0 */ - felem_square(ftmp2, ftmp2); /* 2^95 - 2^1 */ - felem_square(ftmp2, ftmp2); /* 2^96 - 2^2 */ - felem_mul(ftmp2, ftmp2, in); /* 2^96 - 3 */ + felem_square(ftmp, ftmp); + } + felem_mul(ftmp, ftmp, x4); + felem_square(ftmp, ftmp); + felem_square(ftmp, ftmp); + felem_mul(ftmp, ftmp, x2); - felem_mul(out, ftmp2, ftmp); /* 2^256 - 2^224 + 2^192 + 2^96 - 3 */ + /* A zero and a one: the d of fffffffd. */ + felem_square(ftmp, ftmp); + felem_square(ftmp, ftmp); + felem_mul(out, ftmp, in); } - /* Group operations: * * Elements of the elliptic curve group are represented in Jacobian @@ -298,7 +334,8 @@ } /* select_affine_point sets {out_x,out_y} to the index'th entry of table. - * On entry: index < 16, table[0] must be zero. */ + * On entry: index < 16. Every entry is a point of its own -- the signed + * representation has no zero digit -- so the scan starts at zero. */ static void select_affine_point(felem out_x, felem out_y, const limb* table, limb index) { limb i, j; @@ -306,7 +343,7 @@ memset(out_x, 0, sizeof(felem)); memset(out_y, 0, sizeof(felem)); - for (i = 1; i < 16; i++) { + for (i = 0; i < 16; i++) { limb mask = i ^ index; mask |= mask >> 2; mask |= mask >> 1; @@ -321,95 +358,306 @@ } } -/* select_jacobian_point sets {out_x,out_y,out_z} to the index'th entry of - * table. On entry: index < 16, table[0] must be zero. */ -static void select_jacobian_point(felem out_x, felem out_y, felem out_z, - const limb* table, limb index) { - limb i, j; +/* words_are_zero returns 1 when |v| is zero and 0 otherwise, without a + * branch. */ +static u32 words_are_zero(u32 v) { + v |= v >> 16; + v |= v >> 8; + v |= v >> 4; + v |= v >> 2; + v |= v >> 1; + return (v & 1) ^ 1; +} - memset(out_x, 0, sizeof(felem)); - memset(out_y, 0, sizeof(felem)); - memset(out_z, 0, sizeof(felem)); +/* The comb: five teeth to a block, the teeth of a block 52 apart and the two + * blocks 26 from each other, so 26 steps cover all 260 bits between them. + * + * first block i, 52+i, 104+i, 156+i, 208+i + * second block 26+i, 78+i, 130+i, 182+i, 234+i + * + * Five teeth would want a table of 32, but the signed representation makes + * every digit +-1, so the thirty-two values come in pairs that differ by sign + * and sixteen entries serve: kPrecomputed holds the ones whose top tooth is + * positive and the other sign is a negated y. That is the whole of the gain + * over the four-tooth unsigned comb this replaces, which took 32 steps for + * the same 256 bits: 25 doublings and 52 mixed additions against 31 and 64. + */ +#define COMB_TEETH 5 +#define COMB_STEPS 26 +#define COMB_SPAN (2 * COMB_STEPS) /* 52, the distance between a block's teeth */ +#define COMB_WORDS 9 /* 260 bits of signs, with room to add into */ +#define COMB_BIT(t, q) (((t)[(q) >> 5] >> ((q) & 31)) & 1) - /* The implicit value at index 0 is all zero. We don't need to perform that - * iteration of the loop because we already set out_* to zero. */ - table += 3 * NLIMBS; +/* comb_recode writes into |out| the value whose bits are the signs of the + * scalar's all-bits-set representation: digit j is +1 where bit j of |out| is + * set and -1 where it is not. + * + * For an odd k below 2^260 there is exactly one such representation, and it + * is (k + 2^260 - 1) / 2 read as bits -- an addition and a shift, and that is + * all the recoding is. An even scalar has the order added to make it odd, + * which changes the scalar and not the point it selects. + * + * Constant time in the scalar: every branch below is on a loop counter. */ +static void comb_recode(u32 out[COMB_WORDS], + const crypton_p256_int* scalar) { + u32 k[COMB_WORDS], ord[COMB_WORDS]; + u64 carry; + int i; - // Hit all entries to obscure cache profiling. - for (i = 1; i < 16; i++) { - limb mask = i ^ index; - mask |= mask >> 2; - mask |= mask >> 1; - mask &= 1; - mask--; - for (j = 0; j < NLIMBS; j++, table++) { - out_x[j] |= *table & mask; - } - for (j = 0; j < NLIMBS; j++, table++) { - out_y[j] |= *table & mask; - } - for (j = 0; j < NLIMBS; j++, table++) { - out_z[j] |= *table & mask; + for (i = 0; i < COMB_WORDS; i++) { + k[i] = 0; + ord[i] = 0; + } + for (i = 0; i < 256; i += 32) { + k[i >> 5] = (u32)(P256_DIGIT(scalar, i / P256_BITSPERDIGIT) + >> (i % P256_BITSPERDIGIT)); + ord[i >> 5] = (u32)(P256_DIGIT(&crypton_SECP256r1_n, i / P256_BITSPERDIGIT) + >> (i % P256_BITSPERDIGIT)); + } + + /* an even scalar becomes odd by taking on the order */ + { + u32 addmask = (u32)0 - (u32)((k[0] & 1) ^ 1); + + carry = 0; + for (i = 0; i < COMB_WORDS; i++) { + u64 v = (u64)k[i] + (u64)(ord[i] & addmask) + carry; + k[i] = (u32)v; + carry = v >> 32; } } + + /* out = (k + 2^260 - 1) >> 1 */ + carry = 0; + for (i = 0; i < COMB_WORDS; i++) { + u64 v = (u64)k[i] + (u64)(i < 8 ? 0xffffffffu : 0xfu) + carry; + out[i] = (u32)v; + carry = v >> 32; + } + for (i = 0; i < COMB_WORDS - 1; i++) { + out[i] = (out[i] >> 1) | (out[i + 1] << 31); + } + out[COMB_WORDS - 1] >>= 1; + } +/* point_add_complete_mixed sets {x3,y3,z3} = {x1,y1,z1} + {x2,y2}, where the + * accumulator is in projective coordinates and the added point is affine. + * + * This is Renes-Costello-Batina algorithm 5, for a curve with a = -3. It is + * complete: it is right when the two points are the same, when either is the + * point at infinity, and when they are each other's negation, which is what + * point_add_mixed cannot say. It costs 11 multiplications and two by b, + * against point_add_mixed's 8 multiplications and 3 squarings. + * + * The table this comb reads is affine, and an affine point has Z = 1, so + * Z = Z^2 = Z^3 and the same three numbers are the point in projective + * coordinates and in Jacobian ones. That is what lets a comb built on + * Jacobian arithmetic step into this formula for one addition and back out. + */ +static void point_add_complete_mixed(felem x3, felem y3, felem z3, + const felem x1, const felem y1, + const felem z1, const felem x2, + const felem y2) { + felem t0, t1, t2, t3, t4, xx, yy, zz; + + felem_mul(t0, x1, x2); + felem_mul(t1, y1, y2); + felem_sum(t3, x2, y2); + felem_sum(t4, x1, y1); + felem_mul(t3, t3, t4); + felem_sum(t4, t0, t1); + felem_diff(t3, t3, t4); + felem_mul(t4, y2, z1); + felem_sum(t4, t4, y1); + felem_mul(yy, x2, z1); + felem_sum(yy, yy, x1); + felem_mul(zz, kB, z1); + felem_diff(xx, yy, zz); + felem_sum(zz, xx, xx); + felem_sum(xx, xx, zz); + felem_diff(zz, t1, xx); + felem_sum(xx, t1, xx); + felem_mul(yy, kB, yy); + felem_sum(t1, z1, z1); + felem_sum(t2, t1, z1); + felem_diff(yy, yy, t2); + felem_diff(yy, yy, t0); + felem_sum(t1, yy, yy); + felem_sum(yy, t1, yy); + felem_sum(t1, t0, t0); + felem_sum(t0, t1, t0); + felem_diff(t0, t0, t2); + felem_mul(t1, t4, yy); + felem_mul(t2, t0, yy); + felem_mul(yy, xx, zz); + felem_sum(y3, yy, t2); + felem_mul(xx, t3, xx); + felem_diff(x3, xx, t1); + felem_mul(zz, t4, zz); + felem_mul(t1, t3, t0); + felem_sum(z3, zz, t1); +} + +/* point_add_complete sets {x3,y3,z3} = {x1,y1,z1} + {x2,y2,z2}, both in + * projective coordinates. + * + * Renes-Costello-Batina algorithm 4, for a = -3, and complete for the same + * reasons as the mixed one above. It costs 12 multiplications and two by b, + * against point_add's 11 multiplications and 5 squarings. + */ +static void point_add_complete(felem x3, felem y3, felem z3, const felem x1, + const felem y1, const felem z1, const felem x2, + const felem y2, const felem z2) { + felem t0, t1, t2, t3, t4, xx, yy, zz; + + felem_mul(t0, x1, x2); + felem_mul(t1, y1, y2); + felem_mul(t2, z1, z2); + felem_sum(t3, x1, y1); + felem_sum(t4, x2, y2); + felem_mul(t3, t3, t4); + felem_sum(t4, t0, t1); + felem_diff(t3, t3, t4); + felem_sum(t4, y1, z1); + felem_sum(xx, y2, z2); + felem_mul(t4, t4, xx); + felem_sum(xx, t1, t2); + felem_diff(t4, t4, xx); + felem_sum(xx, x1, z1); + felem_sum(yy, x2, z2); + felem_mul(xx, xx, yy); + felem_sum(yy, t0, t2); + felem_diff(yy, xx, yy); + felem_mul(zz, kB, t2); + felem_diff(xx, yy, zz); + felem_sum(zz, xx, xx); + felem_sum(xx, xx, zz); + felem_diff(zz, t1, xx); + felem_sum(xx, t1, xx); + felem_mul(yy, kB, yy); + felem_sum(t1, t2, t2); + felem_sum(t2, t1, t2); + felem_diff(yy, yy, t2); + felem_diff(yy, yy, t0); + felem_sum(t1, yy, yy); + felem_sum(yy, t1, yy); + felem_sum(t1, t0, t0); + felem_sum(t0, t1, t0); + felem_diff(t0, t0, t2); + felem_mul(t1, t4, yy); + felem_mul(t2, t0, yy); + felem_mul(yy, xx, zz); + felem_sum(y3, yy, t2); + felem_mul(xx, t3, xx); + felem_diff(x3, xx, t1); + felem_mul(zz, t4, zz); + felem_mul(t1, t3, t0); + felem_sum(z3, zz, t1); +} + +/* jacobian_to_projective sets {x2,y2,z2} to the projective form of the + * Jacobian point {x1,y1,z1}: (X/Z^2, Y/Z^3) is (XZ : Y : Z^3). */ +static void jacobian_to_projective(felem x2, felem y2, felem z2, + const felem x1, const felem y1, + const felem z1) { + felem zz, zzz; + + felem_square(zz, z1); + felem_mul(zzz, zz, z1); + felem_mul(x2, x1, z1); + memcpy(y2, y1, sizeof(felem)); + memcpy(z2, zzz, sizeof(felem)); +} + +/* projective_to_jacobian is the other way: (X/Z) is (XZ : YZ^2 : Z). */ +static void projective_to_jacobian(felem x2, felem y2, felem z2, + const felem x1, const felem y1, + const felem z1) { + felem zz; + + felem_square(zz, z1); + felem_mul(x2, x1, z1); + felem_mul(y2, y1, zz); + memcpy(z2, z1, sizeof(felem)); +} + /* scalar_base_mult sets {nx,ny,nz} = scalar*G where scalar is a little-endian * number. Note that the value of scalar must be less than the order of the * group. */ static void scalar_base_mult(felem nx, felem ny, felem nz, const crypton_p256_int* scalar) { - int i, j; - limb n_is_infinity_mask = -1, p_is_noninfinite_mask, mask; - u32 table_offset; + u32 rec[COMB_WORDS]; + limb n_is_infinity_mask = -1, mask; + felem px, py, negy, tx, ty, tz, jx, jy, jz, cx, cy, cz; + int i, blk, j; - felem px, py; - felem tx, ty, tz; + comb_recode(rec, scalar); memset(nx, 0, sizeof(felem)); memset(ny, 0, sizeof(felem)); memset(nz, 0, sizeof(felem)); - /* The loop adds bits at positions 0, 64, 128 and 192, followed by - * positions 32,96,160 and 224 and does this 32 times. */ - for (i = 0; i < 32; i++) { - if (i) { + for (i = COMB_STEPS - 1; i >= 0; i--) { + if (i != COMB_STEPS - 1) { point_double(nx, ny, nz, nx, ny, nz); } - table_offset = 0; - for (j = 0; j <= 32; j += 32) { - char bit0 = crypton_p256_get_bit(scalar, 31 - i + j); - char bit1 = crypton_p256_get_bit(scalar, 95 - i + j); - char bit2 = crypton_p256_get_bit(scalar, 159 - i + j); - char bit3 = crypton_p256_get_bit(scalar, 223 - i + j); - limb index = bit0 | (bit1 << 1) | (bit2 << 2) | (bit3 << 3); - select_affine_point(px, py, kPrecomputed + table_offset, index); - table_offset += 30 * NLIMBS; + for (blk = 0; blk < 2; blk++) { + u32 base = (u32)(blk * COMB_STEPS + i); + u32 top = COMB_BIT(rec, base + (COMB_TEETH - 1) * COMB_SPAN); + limb index = 0; - /* Since scalar is less than the order of the group, we know that - * {nx,ny,nz} != {px,py,1}, unless both are zero, which we handle - * below. */ - point_add_mixed(tx, ty, tz, nx, ny, nz, px, py); - /* The result of point_add_mixed is incorrect if {nx,ny,nz} is zero - * (a.k.a. the point at infinity). We handle that situation by - * copying the point from the table. */ + for (j = 0; j < COMB_TEETH - 1; j++) { + /* a tooth agreeing with the top one is a set bit of the index */ + index |= (limb)(COMB_BIT(rec, base + (u32)j * COMB_SPAN) ^ top ^ 1) + << j; + } + + select_affine_point(px, py, kPrecomputed + blk * 16 * 2 * NLIMBS, index); + felem_diff(negy, kZero, py); + copy_conditional(py, negy, (limb)0 - (limb)(top ^ 1)); + + /* The last addition is the one that can be a point added to itself: + * entering it the accumulator is (k' - B)*G and what it adds is B*G, + * where B is the second block's digit at step zero, so the two meet + * when k' = 2B modulo the order. One scalar below the order does + * that, and point_add_mixed cannot answer it. + * + * So that one addition goes through the complete formula instead. + * The table is affine, so the point just selected is the same three + * numbers read as projective coordinates as read as Jacobian ones -- + * which is what lets a comb built on Jacobian arithmetic step into + * the formula for an addition and back out of it. The accumulator + * is not affine and is converted. + * + * Measured on an M4, thread CPU time, the whole base point + * multiplication is 17.34 us this way against 17.30 us with an extra + * doubling and a mask, which is inside the spread of either. */ + if (i == 0 && blk == 1) { + jacobian_to_projective(jx, jy, jz, nx, ny, nz); + point_add_complete_mixed(cx, cy, cz, jx, jy, jz, px, py); + projective_to_jacobian(tx, ty, tz, cx, cy, cz); + } else { + point_add_mixed(tx, ty, tz, nx, ny, nz, px, py); + } + + /* The accumulator is the infinity until the first of these, and + * point_add_mixed cannot start from it; the point itself is the sum. */ copy_conditional(nx, px, n_is_infinity_mask); copy_conditional(ny, py, n_is_infinity_mask); copy_conditional(nz, kOne, n_is_infinity_mask); - - /* Equally, the result is also wrong if the point from the table is - * zero, which happens when the index is zero. We handle that by - * only copying from {tx,ty,tz} to {nx,ny,nz} if index != 0. */ - p_is_noninfinite_mask = NON_ZERO_TO_ALL_ONES(index); - mask = p_is_noninfinite_mask & ~n_is_infinity_mask; + mask = ~n_is_infinity_mask; copy_conditional(nx, tx, mask); copy_conditional(ny, ty, mask); copy_conditional(nz, tz, mask); - /* If p was not zero, then n is now non-zero. */ - n_is_infinity_mask &= ~p_is_noninfinite_mask; + n_is_infinity_mask = 0; } } + + /* The recoded scalar is the private key in another representation, so it + * does not stay on the stack. */ + crypton_bzero(rec, sizeof(rec)); } /* point_to_affine converts a Jacobian point to an affine point. If the input @@ -424,67 +672,309 @@ felem_mul(y_out, ny, z_inv); } -/* scalar_base_mult sets {nx,ny,nz} = scalar*{x,y}. */ -static void scalar_mult(felem nx, felem ny, felem nz, const felem x, - const felem y, const crypton_p256_int* scalar) { - int i; - felem px, py, pz, tx, ty, tz; - felem precomp[16][3]; - limb n_is_infinity_mask, index, p_is_noninfinite_mask, mask; +/* point_add_mixed_pm sets {xp,yp,zp} = {x1,y1,z1} + {x2,y2} and + * {xm,ym,zm} = {x1,y1,z1} - {x2,y2}, where {x2,y2} is affine. + * + * Negating the second point changes the sign of s2 and so of r, and nothing + * else: z1z1, tmp, u2, z1z1z1, h, i, j, v, the output z and the product y1*j + * are common to the two. What the second point costs over the first is one + * squaring (r*r) and one multiplication (by r), rather than another eleven. + * + * The same restrictions as point_add_mixed: this does not handle P+P, + * infinity+P nor P+infinity. */ +static void point_add_mixed_pm(felem xp, felem yp, felem zp, + felem xm, felem ym, felem zm, + const felem x1, const felem y1, const felem z1, + const felem x2, const felem y2) { + felem z1z1, z1z1z1, s2, u2, h, i, j, r, rr, v, y1j, tmp; - /* We precompute 0,1,2,... times {x,y}. */ - memset(precomp, 0, sizeof(felem) * 3); - memcpy(&precomp[1][0], x, sizeof(felem)); - memcpy(&precomp[1][1], y, sizeof(felem)); - memcpy(&precomp[1][2], kOne, sizeof(felem)); + felem_square(z1z1, z1); + felem_sum(tmp, z1, z1); - for (i = 2; i < 16; i += 2) { - point_double(precomp[i][0], precomp[i][1], precomp[i][2], - precomp[i / 2][0], precomp[i / 2][1], precomp[i / 2][2]); + felem_mul(u2, x2, z1z1); + felem_mul(z1z1z1, z1, z1z1); + felem_mul(s2, y2, z1z1z1); + felem_diff(h, u2, x1); + felem_sum(i, h, h); + felem_square(i, i); + felem_mul(j, h, i); + felem_mul(v, x1, i); + felem_mul(y1j, y1, j); - point_add_mixed(precomp[i + 1][0], precomp[i + 1][1], precomp[i + 1][2], - precomp[i][0], precomp[i][1], precomp[i][2], x, y); + /* The two points share their z. */ + felem_mul(zp, tmp, h); + felem_assign(zm, zp); + + /* X + P */ + felem_diff(r, s2, y1); + felem_sum(r, r, r); + felem_square(rr, r); + felem_diff(xp, rr, j); + felem_diff(xp, xp, v); + felem_diff(xp, xp, v); + felem_diff(tmp, v, xp); + felem_mul(yp, tmp, r); + felem_diff(yp, yp, y1j); + felem_diff(yp, yp, y1j); + + /* X - P. Negating the point negates s2, so r becomes -q where + * q = 2*(s2 + y1). The square is the same either way, and the sign is + * carried into y by taking (xm - v) where the other took (v - xp): + * xm = q^2 - j - 2v + * ym = (v - xm)*(-q) - 2*y1*j = (xm - v)*q - 2*y1*j + * so no field negation is needed. */ + felem_sum(r, s2, y1); + felem_sum(r, r, r); + felem_square(rr, r); + felem_diff(xm, rr, j); + felem_diff(xm, xm, v); + felem_diff(xm, xm, v); + felem_diff(tmp, xm, v); + felem_mul(ym, tmp, r); + felem_diff(ym, ym, y1j); + felem_diff(ym, ym, y1j); +} + +/* select_jacobian_odd sets {out_x,out_y,out_z} to the index'th of the 16 + * entries of table, for index < 16. There is no implicit infinity at index + * zero, as the unsigned window this replaces had: every entry is a real + * point, which is what lets the signed representation below do without the + * infinity masks. */ +static void select_jacobian_odd(felem out_x, felem out_y, felem out_z, + const limb* table, limb index) { + limb i, j; + + memset(out_x, 0, sizeof(felem)); + memset(out_y, 0, sizeof(felem)); + memset(out_z, 0, sizeof(felem)); + + for (i = 0; i < 16; i++) { + limb mask = i ^ index; + mask |= mask >> 2; + mask |= mask >> 1; + mask &= 1; + mask--; + for (j = 0; j < NLIMBS; j++, table++) { + out_x[j] |= *table & mask; + } + for (j = 0; j < NLIMBS; j++, table++) { + out_y[j] |= *table & mask; + } + for (j = 0; j < NLIMBS; j++, table++) { + out_z[j] |= *table & mask; + } } +} - memset(nx, 0, sizeof(felem)); - memset(ny, 0, sizeof(felem)); - memset(nz, 0, sizeof(felem)); - n_is_infinity_mask = -1; +/* The scalar, recoded: 52 signed odd digits, each in {+-1,+-3,...,+-31}, so + * that scalar = sum d_i * 32^i. A digit is one byte: the low four bits are + * the table index (|d|-1)/2, and bit four is set when d is negative. One + * byte rather than a byte and a word because this is the private key in + * another form and has to be wiped afterwards. */ +#define SABS_DIGITS 52 +#define SABS_INDEX(b) ((limb)((b) & 15)) +#define SABS_NEGMASK(b) ((limb)0 - (limb)((b) >> 4)) +typedef struct { + u8 digit[SABS_DIGITS]; +} sabs_scalar; - /* We add in a window of four bits each iteration and do this 64 times. */ - for (i = 0; i < 256; i += 4) { - if (i) { - point_double(nx, ny, nz, nx, ny, nz); - point_double(nx, ny, nz, nx, ny, nz); - point_double(nx, ny, nz, nx, ny, nz); - point_double(nx, ny, nz, nx, ny, nz); + +/* sabs_recode writes the signed representation of |scalar| into |out|. + * + * The recoding is the regular one of Joye and Tunstall: take the low six bits, + * subtract 32, and carry the difference upwards. It needs an odd input, which + * is arranged by adding the group order to an even scalar -- that changes the + * scalar but not the point it selects, the order being the order. A zero + * scalar is replaced by one and the caller is told, since zero times a point + * is the infinity this code deliberately cannot represent. + * + * Constant time in the scalar: every branch below is on a loop counter. */ +static limb sabs_recode(sabs_scalar* out, + const crypton_p256_int* scalar) { + u32 k[9], n[9]; + u32 nonzero; + limb is_zero_mask; + int i, b; + + for (i = 0; i < 9; i++) { + k[i] = 0; + n[i] = 0; + } + /* A word at a time. Bit at a time would be 512 calls into another + * translation unit, which the compiler cannot inline away. */ + for (b = 0; b < 256; b += 32) { + k[b >> 5] = (u32)(P256_DIGIT(scalar, b / P256_BITSPERDIGIT) + >> (b % P256_BITSPERDIGIT)); + n[b >> 5] = (u32)(P256_DIGIT(&crypton_SECP256r1_n, b / P256_BITSPERDIGIT) + >> (b % P256_BITSPERDIGIT)); + } + + /* Replace a zero scalar by one, and report it. */ + nonzero = 0; + for (i = 0; i < 9; i++) { + nonzero |= k[i]; + } + { + u32 z = words_are_zero(nonzero); + k[0] |= z; + is_zero_mask = (limb)0 - (limb)z; + } + + /* An even scalar becomes odd by adding the order. The sum is below 2^257, + * which is why nine words and fifty-two digits are enough. */ + { + u32 addmask = (u32)0 - (u32)((k[0] & 1) ^ 1); + u64 carry = 0; + for (i = 0; i < 9; i++) { + u64 t = (u64)k[i] + (u64)(n[i] & addmask) + carry; + k[i] = (u32)t; + carry = t >> 32; } + } - index = (crypton_p256_get_bit(scalar, 255 - i - 0) << 3) | - (crypton_p256_get_bit(scalar, 255 - i - 1) << 2) | - (crypton_p256_get_bit(scalar, 255 - i - 2) << 1) | - crypton_p256_get_bit(scalar, 255 - i - 3); + for (i = 0; i < SABS_DIGITS - 1; i++) { + u32 r6 = k[0] & 63; /* odd, so never 32 */ + u32 hi = (r6 >> 5) & 1; /* 1 when the digit is positive */ + u32 wabs = ((r6 - 32) & (0u - hi)) | ((32 - r6) & (hi - 1)); + u32 mlo = 32u - r6; /* two's complement of the digit's negation */ + u32 ext = 0u - hi; /* its sign extension */ + u64 carry = 0; + int w; - /* See the comments in scalar_base_mult about handling infinities. */ - select_jacobian_point(px, py, pz, precomp[0][0], index); - point_add(tx, ty, tz, nx, ny, nz, px, py, pz); - copy_conditional(nx, px, n_is_infinity_mask); - copy_conditional(ny, py, n_is_infinity_mask); - copy_conditional(nz, pz, n_is_infinity_mask); + out->digit[i] = (u8)(((wabs - 1) >> 1) | ((hi ^ 1) << 4)); - p_is_noninfinite_mask = NON_ZERO_TO_ALL_ONES(index); - mask = p_is_noninfinite_mask & ~n_is_infinity_mask; + /* k -= digit, i.e. k += -digit, sign extended over the nine words. */ + for (w = 0; w < 9; w++) { + u64 t = (u64)k[w] + (u64)(w == 0 ? mlo : ext) + carry; + k[w] = (u32)t; + carry = t >> 32; + } + /* k >>= 5 */ + for (w = 0; w < 8; w++) { + k[w] = (k[w] >> 5) | (k[w + 1] << 27); + } + k[8] >>= 5; + } - copy_conditional(nx, tx, mask); - copy_conditional(ny, ty, mask); - copy_conditional(nz, tz, mask); - n_is_infinity_mask &= ~p_is_noninfinite_mask; + /* What is left is odd, positive and at most five: the scalar is below + * 2^257 and fifty-one digits have taken 255 bits off it, each leaving a + * remainder below one. */ + out->digit[SABS_DIGITS - 1] = (u8)((k[0] - 1) >> 1); + + return is_zero_mask; +} + +/* scalar_mult sets {nx,ny,nz} = scalar*{x,y}. + * + * A five-bit signed window. The scalar is recoded into 52 digits, every one + * of them odd and none of them zero, so the table holds only the odd + * multiples P, 3P, ..., 31P and a negative digit is served by negating y, + * which is free. Against the four-bit unsigned window this replaces, the + * main loop trades 252 doublings and 64 additions for 255 and 51, and -- + * because no digit is zero and no partial sum is the infinity -- it drops the + * masks that stood in for infinity on every iteration. + * + * The table is built so that each pair of neighbouring odd multiples comes + * out of one doubling and one shared addition: + * + * 2P = 2*P 3P = 2P + P + * 6P = 2*(3P) 5P = 6P - P, 7P = 6P + P + * 10P = 2*(5P) 9P = 10P - P, 11P = 10P + P + * ... + * 30P = 2*(15P) 29P = 30P - P, 31P = 30P + P + * + * which is eight doublings, one mixed addition and seven shared pairs. */ +static void scalar_mult(felem nx, felem ny, felem nz, const felem x, + const felem y, const crypton_p256_int* scalar) { + /* odd[k] is (2k+1)*P, for k in 0..15. */ + felem odd[16][3]; + felem dx, dy, dz, px, py, pz, negy, ddx, ddy, ddz, qx, qy, qz, cx, cy, cz; + sabs_scalar rec; + limb is_zero_mask; + int i, k; + + is_zero_mask = sabs_recode(&rec, scalar); + + felem_assign(odd[0][0], x); + felem_assign(odd[0][1], y); + memcpy(odd[0][2], kOne, sizeof(felem)); + + /* 3P = 2P + P */ + point_double(dx, dy, dz, x, y, kOne); + point_add_mixed(odd[1][0], odd[1][1], odd[1][2], dx, dy, dz, x, y); + + /* (4k+2)P from (2k+1)P, then (4k+1)P and (4k+3)P from it. */ + for (k = 1; k < 8; k++) { + point_double(dx, dy, dz, odd[k][0], odd[k][1], odd[k][2]); + point_add_mixed_pm(odd[2 * k + 1][0], odd[2 * k + 1][1], odd[2 * k + 1][2], + odd[2 * k][0], odd[2 * k][1], odd[2 * k][2], + dx, dy, dz, x, y); } + + /* The top digit initialises the accumulator; it is always positive. */ + select_jacobian_odd(nx, ny, nz, odd[0][0], + SABS_INDEX(rec.digit[SABS_DIGITS - 1])); + + for (i = SABS_DIGITS - 2; i >= 0; i--) { + point_double(nx, ny, nz, nx, ny, nz); + point_double(nx, ny, nz, nx, ny, nz); + point_double(nx, ny, nz, nx, ny, nz); + point_double(nx, ny, nz, nx, ny, nz); + point_double(nx, ny, nz, nx, ny, nz); + + select_jacobian_odd(px, py, pz, odd[0][0], SABS_INDEX(rec.digit[i])); + felem_diff(negy, kZero, py); + copy_conditional(py, negy, SABS_NEGMASK(rec.digit[i])); + + /* On the last step alone the accumulator can be the very point being + * added -- the accumulator is (k' - d0)*P and it adds d0*P, so the two + * meet when k' = 2*d0 modulo the order, which the scalar 30 does with a + * digit of 15 -- and point_add answers the infinity where the truth is + * twice that point. That one addition goes through the complete formula + * instead, with both points converted to projective coordinates and the + * answer converted back. One of fifty-one iterations pays for it, and + * it comes to a field multiplication less than the doubling and the mask + * it replaces. + * + * point_add finishes with z before it touches x, and with each of x and + * y before the next, so on every other step the accumulator can be its + * own output. */ + if (i == 0) { + jacobian_to_projective(ddx, ddy, ddz, nx, ny, nz); + jacobian_to_projective(qx, qy, qz, px, py, pz); + point_add_complete(cx, cy, cz, ddx, ddy, ddz, qx, qy, qz); + projective_to_jacobian(nx, ny, nz, cx, cy, cz); + } else { + point_add(nx, ny, nz, nx, ny, nz, px, py, pz); + } + } + + /* Zero was replaced by one on the way in; put the infinity back. All + * three coordinates, not just z: crypton_p256_points_mul_vartime reads the + * comment above it as saying the whole point is zero. */ + for (i = 0; i < NLIMBS; i++) { + nx[i] &= ~is_zero_mask; + ny[i] &= ~is_zero_mask; + nz[i] &= ~is_zero_mask; + } + + /* The recoded scalar is the private key in another representation, so it + * does not stay on the stack. */ + crypton_bzero(&rec, sizeof(rec)); } /* crypton_p256_base_point_mul sets {out_x,out_y} = nG, where n is < the * order of the group. */ void crypton_p256_base_point_mul(const crypton_p256_int* n, crypton_p256_int* out_x, crypton_p256_int* out_y) { +#ifdef CRYPTON_S2N_BIGNUM + /* The assembly, four times faster, and constant time as this has to be: + * it is how a public key is derived from a private one. */ + uint64_t res[8]; + + crypton_s2n_p256_scalarmulbase(res, P256_DIGITS(n)); + memcpy(P256_DIGITS(out_x), res, P256_NBYTES); + memcpy(P256_DIGITS(out_y), res + P256_NDIGITS, P256_NBYTES); +#else felem x, y, z; scalar_base_mult(x, y, z, n); @@ -496,8 +986,29 @@ from_montgomery(out_x, x_affine); from_montgomery(out_y, y_affine); } +#endif } +#ifdef CRYPTON_S2N_BIGNUM +/* An affine point from the assembly as the Jacobian triple the addition + * below wants, keeping this file's convention that the point at infinity is + * all three coordinates zero -- the assembly says it with (0, 0). */ +static void s2n_lift(felem x, felem y, felem z, const uint64_t res[8]) { + crypton_p256_int t; + uint64_t any = 0; + int i; + + for (i = 0; i < 2 * P256_NDIGITS; i++) + any |= res[i]; + + memcpy(P256_DIGITS(&t), res, P256_NBYTES); + to_montgomery(x, &t); + memcpy(P256_DIGITS(&t), res + P256_NDIGITS, P256_NBYTES); + to_montgomery(y, &t); + memcpy(z, any != 0 ? kOne : kZero, sizeof(felem)); +} +#endif + /* crypton_p256_points_mul_vartime sets {out_x,out_y} = n1*G + n2*{in_x,in_y}, where * n1 and n2 are < the order of the group. * @@ -516,10 +1027,48 @@ return; } +#ifdef CRYPTON_S2N_BIGNUM + { + /* Both scalars at once, in variable time, which is what the two + * multiplications below are not: they are constant time, and pay for it, + * over values that are all public here. It gives up on the one case the + * assembly's addition does not cover -- adding a point to itself -- and + * then the constant-time pair answers instead. */ + uint64_t jr[3 * P256_NDIGITS]; + + if (crypton_p256_verify_mul(jr, P256_DIGITS(n1), P256_DIGITS(n2), + P256_DIGITS(in_x), P256_DIGITS(in_y))) { + crypton_p256_int t; + + memcpy(P256_DIGITS(&t), jr, P256_NBYTES); + to_montgomery(x1, &t); + memcpy(P256_DIGITS(&t), jr + P256_NDIGITS, P256_NBYTES); + to_montgomery(y1, &t); + memcpy(P256_DIGITS(&t), jr + 2 * P256_NDIGITS, P256_NBYTES); + to_montgomery(z1, &t); + + point_to_affine(px, py, x1, y1, z1); + from_montgomery(out_x, px); + from_montgomery(out_y, py); + return; + } + } + { + uint64_t r1[8], r2[8], pt[2 * P256_NDIGITS]; + + memcpy(pt, P256_DIGITS(in_x), P256_NBYTES); + memcpy(pt + P256_NDIGITS, P256_DIGITS(in_y), P256_NBYTES); + crypton_s2n_p256_scalarmulbase(r1, P256_DIGITS(n1)); + crypton_s2n_p256_scalarmul(r2, P256_DIGITS(n2), pt); + s2n_lift(x1, y1, z1, r1); + s2n_lift(x2, y2, z2, r2); + } +#else to_montgomery(px, in_x); to_montgomery(py, in_y); scalar_base_mult(x1, y1, z1, n1); scalar_mult(x2, y2, z2, px, py, n2); +#endif if (crypton_p256_is_zero(n2) != 0) { /* If n2 == 0, then {x2,y2,z2} is zero and the result is just @@ -581,6 +1130,19 @@ void crypton_p256e_point_mul(const crypton_p256_int* n, const crypton_p256_int* in_x, const crypton_p256_int* in_y, crypton_p256_int* out_x, crypton_p256_int* out_y) { +#ifdef CRYPTON_S2N_BIGNUM + /* The vendored assembly, which answers the same thing two and a half to + * three times faster. Both sides are four little-endian 64-bit words of + * an ordinary affine coordinate, so the points cross as they are, and + * both give (0, 0) for the point at infinity. See cbits/s2n/README.md. */ + uint64_t point[8], res[8]; + + memcpy(point, P256_DIGITS(in_x), P256_NBYTES); + memcpy(point + P256_NDIGITS, P256_DIGITS(in_y), P256_NBYTES); + crypton_s2n_p256_scalarmul(res, P256_DIGITS(n), point); + memcpy(P256_DIGITS(out_x), res, P256_NBYTES); + memcpy(P256_DIGITS(out_y), res + P256_NDIGITS, P256_NBYTES); +#else felem x, y, z, px, py; to_montgomery(px, in_x); @@ -589,4 +1151,5 @@ point_to_affine(px, py, x, y, z); from_montgomery(out_x, px); from_montgomery(out_y, py); +#endif } diff --git a/cbits/p256/p256_s2n.c b/cbits/p256/p256_s2n.c new file mode 100644 --- /dev/null +++ b/cbits/p256/p256_s2n.c @@ -0,0 +1,61 @@ +/* + * Choosing between s2n-bignum's two forms of each routine. The reasoning + * is in cbits/s2n/README.md; in short, on ARM the choice is a + * microarchitecture one that no feature bit answers, and on x86-64 it is + * exactly a feature bit. + */ +#include "p256/p256_s2n.h" +#include "crypton_cpu.h" + +extern void p256_scalarmul(uint64_t res[8], const uint64_t scalar[4], + const uint64_t point[8]); +extern void p256_scalarmul_alt(uint64_t res[8], const uint64_t scalar[4], + const uint64_t point[8]); +extern void p256_scalarmulbase(uint64_t res[8], const uint64_t scalar[4], + uint64_t blocksize, const uint64_t *table); +extern void p256_scalarmulbase_alt(uint64_t res[8], const uint64_t scalar[4], + uint64_t blocksize, const uint64_t *table); + +extern const uint64_t crypton_p256_s2n_base_blocksize; +extern const uint64_t crypton_p256_s2n_base_table[]; + +void crypton_s2n_p256_scalarmul(uint64_t res[8], const uint64_t scalar[4], + const uint64_t point[8]) +{ +#if defined(__aarch64__) || defined(__arm64__) +#ifdef __APPLE__ + /* the _alt form is the one written for high multiplier throughput, + * and it is 30-40% faster on Apple silicon */ + p256_scalarmul_alt(res, scalar, point); +#else + p256_scalarmul(res, scalar, point); +#endif +#else + if (crypton_x86_simd_features() & CRYPTON_X86_ADX) + p256_scalarmul(res, scalar, point); + else + p256_scalarmul_alt(res, scalar, point); +#endif +} + +void crypton_s2n_p256_scalarmulbase(uint64_t res[8], const uint64_t scalar[4]) +{ +#if defined(__aarch64__) || defined(__arm64__) +#ifdef __APPLE__ + p256_scalarmulbase_alt(res, scalar, crypton_p256_s2n_base_blocksize, + crypton_p256_s2n_base_table); +#else + p256_scalarmulbase(res, scalar, crypton_p256_s2n_base_blocksize, + crypton_p256_s2n_base_table); +#endif +#else + if (crypton_x86_simd_features() & CRYPTON_X86_ADX) + p256_scalarmulbase(res, scalar, + crypton_p256_s2n_base_blocksize, + crypton_p256_s2n_base_table); + else + p256_scalarmulbase_alt(res, scalar, + crypton_p256_s2n_base_blocksize, + crypton_p256_s2n_base_table); +#endif +} diff --git a/cbits/p256/p256_verify.c b/cbits/p256/p256_verify.c new file mode 100644 --- /dev/null +++ b/cbits/p256/p256_verify.c @@ -0,0 +1,300 @@ +/* + * The double scalar multiplication ECDSA verification does, in variable + * time. + * + * Verification asks for u1*G + u2*Q, and crypton used to work that out as + * two separate constant-time multiplications and an addition. Nothing here + * is secret -- the message, the signature and the public key are all sent in + * the clear -- so the constant-time work is paid for nothing, and the two + * multiplications can share their doublings besides. Measured, those two + * were 84% of a verification. + * + * So this is the usual interleaved windowed form: both scalars in + * width-5 non-adjacent form, a table of odd multiples of each point, and one + * pass down the digits with a doubling at every step and an addition where a + * digit is not zero. It is s2n-bignum's Jacobian point arithmetic + * underneath, the same assembly the constant-time paths use. + * + * s2n-bignum's p256_montjadd is correct except when its two arguments are + * the same point -- that is the side condition its proof carries -- so every + * sum is checked for the sign of that, which is a zero z where neither + * argument had one. There the answer is given up on and the caller falls + * back to the constant-time pair, which has no such condition. With random + * inputs it does not happen; it is here because an attacker chooses the + * public key and the signature. + */ +#include + +#include "p256/p256.h" + +#ifdef CRYPTON_S2N_BIGNUM + +#include "crypton_cpu.h" +#include "p256/p256_verify.h" + +/* a Jacobian triple in the Montgomery domain, as the assembly keeps them */ +#define JAC 12 +#define AFF 8 + +extern void p256_montjadd(uint64_t p3[JAC], const uint64_t p1[JAC], + const uint64_t p2[JAC]); +extern void p256_montjadd_alt(uint64_t p3[JAC], const uint64_t p1[JAC], + const uint64_t p2[JAC]); +extern void p256_montjdouble(uint64_t p3[JAC], const uint64_t p1[JAC]); +extern void p256_montjdouble_alt(uint64_t p3[JAC], const uint64_t p1[JAC]); +extern void p256_montjmixadd(uint64_t p3[JAC], const uint64_t p1[JAC], + const uint64_t p2[AFF]); +extern void p256_montjmixadd_alt(uint64_t p3[JAC], const uint64_t p1[JAC], + const uint64_t p2[AFF]); + +/* the odd multiples of the base point, from cbits/p256/gen_base_table.py */ +extern const uint64_t crypton_p256_wnaf_width; +extern const uint64_t crypton_p256_wnaf_table[]; +extern void bignum_tomont_p256(uint64_t z[4], const uint64_t x[4]); +extern void bignum_demont_p256(uint64_t z[4], const uint64_t x[4]); +extern void bignum_neg_p256(uint64_t z[4], const uint64_t x[4]); +#if !defined(__aarch64__) && !defined(__arm64__) +extern void bignum_tomont_p256_alt(uint64_t z[4], const uint64_t x[4]); +extern void bignum_demont_p256_alt(uint64_t z[4], const uint64_t x[4]); +#endif + +/* The same question as everywhere else in cbits/s2n: a microarchitecture one + * on ARM that no feature bit answers, and exactly a feature bit on x86-64. */ +static int use_alt(void) +{ +#if defined(__aarch64__) || defined(__arm64__) +#ifdef __APPLE__ + return 1; +#else + return 0; +#endif +#else + return (crypton_x86_simd_features() & CRYPTON_X86_ADX) == 0; +#endif +} + +static void padd(uint64_t r[JAC], const uint64_t a[JAC], const uint64_t b[JAC], + int alt) +{ + if (alt) + p256_montjadd_alt(r, a, b); + else + p256_montjadd(r, a, b); +} + +static void pmixadd(uint64_t r[JAC], const uint64_t a[JAC], + const uint64_t b[AFF], int alt) +{ + if (alt) + p256_montjmixadd_alt(r, a, b); + else + p256_montjmixadd(r, a, b); +} + +static void pdouble(uint64_t r[JAC], const uint64_t a[JAC], int alt) +{ + if (alt) + p256_montjdouble_alt(r, a); + else + p256_montjdouble(r, a); +} + +static void tomont(uint64_t z[4], const uint64_t x[4]) +{ +#if defined(__aarch64__) || defined(__arm64__) + bignum_tomont_p256(z, x); +#else + if (use_alt()) + bignum_tomont_p256_alt(z, x); + else + bignum_tomont_p256(z, x); +#endif +} + +static void demont(uint64_t z[4], const uint64_t x[4]) +{ +#if defined(__aarch64__) || defined(__arm64__) + bignum_demont_p256(z, x); +#else + if (use_alt()) + bignum_demont_p256_alt(z, x); + else + bignum_demont_p256(z, x); +#endif +} + +static int is_infinity(const uint64_t p[JAC]) +{ + return (p[8] | p[9] | p[10] | p[11]) == 0; +} + +/* + * The base point's table is a constant, so its window is as wide as the + * table is worth carrying: seven bits, thirty-two odd multiples, two + * kilobytes, and one addition every eight digits. The public key's table + * has to be built for each verification, so five bits is the trade there -- + * eight entries, seven point operations to build, and one addition every + * six digits. + */ +#define WG 7 +#define TG (1 << (WG - 2)) +#define WQ 5 +#define TQ (1 << (WQ - 2)) +#define NAF_MAX 258 + +/* + * The width-W non-adjacent form of a scalar, one signed digit per bit + * position: odd or zero, and never two non-zero digits within W of each + * other. Returns how many digits were written. + * + * The scalar is public, so the loop may look at it. + */ +static int wnaf(int8_t out[NAF_MAX], const uint64_t in[4], int w) +{ + uint64_t k[5]; + int len = 0; + + memcpy(k, in, 32); + k[4] = 0; + + while (k[0] | k[1] | k[2] | k[3] | k[4]) { + int d = 0; + + if (k[0] & 1) { + d = (int) (k[0] & ((1u << w) - 1)); + if (d >= (1 << (w - 1))) + d -= 1 << w; + if (d > 0) { + uint64_t borrow = (uint64_t) d; + int i; + + for (i = 0; i < 5 && borrow; i++) { + uint64_t t = k[i]; + + k[i] = t - borrow; + borrow = (k[i] > t); + } + } else { + uint64_t carry = (uint64_t) (-d); + int i; + + for (i = 0; i < 5 && carry; i++) { + k[i] += carry; + carry = (k[i] < carry); + } + } + } + out[len++] = (int8_t) d; + + { /* k >>= 1 */ + int i; + + for (i = 0; i < 4; i++) + k[i] = (k[i] >> 1) | (k[i + 1] << 63); + k[4] >>= 1; + } + } + return len; +} + +/* P, 3P, 5P, ..., (2*TQ-1)P from a Jacobian P */ +static int build_table(uint64_t t[TQ][JAC], const uint64_t p[JAC], int alt) +{ + uint64_t twice[JAC]; + int i; + + memcpy(t[0], p, sizeof(uint64_t) * JAC); + pdouble(twice, p, alt); + for (i = 1; i < TQ; i++) { + padd(t[i], t[i - 1], twice, alt); + /* the table is built from a point and its double, which are + * never the same point unless the point has order two, and + * P-256 has none */ + if (is_infinity(t[i]) && !is_infinity(t[i - 1]) + && !is_infinity(twice)) + return 0; + } + return 1; +} + +/* the table entry for a digit, negated when the digit is */ +static void pick(uint64_t out[JAC], const uint64_t t[TQ][JAC], int digit) +{ + int idx = (digit > 0 ? digit : -digit) / 2; + + memcpy(out, t[idx], sizeof(uint64_t) * JAC); + if (digit < 0) + bignum_neg_p256(out + 4, out + 4); +} + +/* the same from the base point's affine table */ +static void pick_affine(uint64_t out[AFF], int digit) +{ + int idx = (digit > 0 ? digit : -digit) / 2; + + memcpy(out, crypton_p256_wnaf_table + (size_t) idx * AFF, + sizeof(uint64_t) * AFF); + if (digit < 0) + bignum_neg_p256(out + 4, out + 4); +} + +int crypton_p256_verify_mul(uint64_t out[JAC], const uint64_t n1[4], + const uint64_t n2[4], const uint64_t qx[4], + const uint64_t qy[4]) +{ + /* the Montgomery form of one, which is the z of an affine point */ + static const uint64_t mont_one[4] = { + 0x0000000000000001ULL, 0xffffffff00000000ULL, + 0xffffffffffffffffULL, 0x00000000fffffffeULL + }; + uint64_t tq[TQ][JAC]; + uint64_t q[JAC], acc[JAC], addend[JAC], aff[AFF], sum[JAC]; + int8_t naf1[NAF_MAX], naf2[NAF_MAX]; + int len1, len2, len, i; + /* asked once rather than at every point operation */ + const int alt = use_alt(); + + /* the generated table has to be the width this file walks it at */ + if (crypton_p256_wnaf_width != WG) + return 0; + + tomont(q, qx); + tomont(q + 4, qy); + memcpy(q + 8, mont_one, sizeof mont_one); + + if (!build_table(tq, q, alt)) + return 0; + + len1 = wnaf(naf1, n1, WG); + len2 = wnaf(naf2, n2, WQ); + len = len1 > len2 ? len1 : len2; + + memset(acc, 0, sizeof acc); + for (i = len - 1; i >= 0; i--) { + pdouble(acc, acc, alt); + + if (i < len1 && naf1[i] != 0) { + /* the base point's entries are affine, which is a + * cheaper addition and no table to build */ + pick_affine(aff, naf1[i]); + pmixadd(sum, acc, aff, alt); + if (is_infinity(sum) && !is_infinity(acc)) + return 0; + memcpy(acc, sum, sizeof acc); + } + if (i < len2 && naf2[i] != 0) { + pick(addend, tq, naf2[i]); + padd(sum, acc, addend, alt); + if (is_infinity(sum) && !is_infinity(acc)) + return 0; + memcpy(acc, sum, sizeof acc); + } + } + + demont(out, acc); + demont(out + 4, acc + 4); + demont(out + 8, acc + 8); + return 1; +} + +#endif diff --git a/cbits/p256/p256_verify.h b/cbits/p256/p256_verify.h new file mode 100644 --- /dev/null +++ b/cbits/p256/p256_verify.h @@ -0,0 +1,19 @@ +#ifndef CRYPTON_P256_VERIFY_H +#define CRYPTON_P256_VERIFY_H + +#include + +/* + * n1*G + n2*Q, in variable time, as a Jacobian triple in the plain domain. + * + * Returns 1 when the answer is in `out`, and 0 when the walk met the one + * case s2n-bignum's point addition does not cover -- adding a point to + * itself -- in which case the caller works the answer out the constant-time + * way instead. Nothing here is secret: it is all in the signature and the + * public key. + */ +int crypton_p256_verify_mul(uint64_t out[12], const uint64_t n1[4], + const uint64_t n2[4], const uint64_t qx[4], + const uint64_t qy[4]); + +#endif diff --git a/cbits/p256/p256_wnaf_table.c b/cbits/p256/p256_wnaf_table.c new file mode 100644 --- /dev/null +++ b/cbits/p256/p256_wnaf_table.c @@ -0,0 +1,42 @@ +/* Generated by cbits/p256/gen_base_table.py; do not hand-edit. + * The odd multiples of the base point, in Montgomery-affine + * form, which cbits/p256/p256_verify.c reads. A verification + * is public, so this table is walked in variable time. */ +#include + +const uint64_t crypton_p256_wnaf_width = 7; + +const uint64_t crypton_p256_wnaf_table[256] = { + 0x79e730d418a9143cULL,0x75ba95fc5fedb601ULL,0x79fb732b77622510ULL,0x18905f76a53755c6ULL,0xddf25357ce95560aULL,0x8b4ab8e4ba19e45cULL,0xd2e88688dd21f325ULL,0x8571ff1825885d85ULL, + 0xffac3f904eebc127ULL,0xb027f84a087d81fbULL,0x66ad77dd87cbbc98ULL,0x26936a3fb6ff747eULL,0xb04c5c1fc983a7ebULL,0x583e47ad0861fe1aULL,0x788208311a2ee98eULL,0xd5f06a29e587cc07ULL, + 0xbe1b8aaec45c61f5ULL,0x90ec649a94b9537dULL,0x941cb5aad076c20cULL,0xc9079605890523c8ULL,0xeb309b4ae7ba4f10ULL,0x73c568efe5eb882bULL,0x3540a9877e7a1f68ULL,0x73a076bb2dd1e916ULL, + 0x0746354ea0173b4fULL,0x2bd20213d23c00f7ULL,0xf43eaab50c23bb08ULL,0x13ba5119c3123e03ULL,0x2847d0303f5b9d4dULL,0x6742f2f25da67bddULL,0xef933bdc77c94195ULL,0xeaedd9156e240867ULL, + 0x75c96e8f264e20e8ULL,0xabe6bfed59a7a841ULL,0x2cc09c0444c8eb00ULL,0xe05b3080f0c4e16bULL,0x1eb7777aa45f3314ULL,0x56af7bedce5d45e3ULL,0x2b6e019a88b12f1aULL,0x086659cdfd835f9bULL, + 0xea7d260a6245e404ULL,0x9de407956e7fdfe0ULL,0x1ff3a4158dac1ab5ULL,0x3e7090f1649c9073ULL,0x1a7685612b944e88ULL,0x250f939ee57f61c8ULL,0x0c0daa891ead643dULL,0x68930023e125b88eULL, + 0xccc425634b2ed709ULL,0x0e356769856fd30dULL,0xbcbcd43f559e9811ULL,0x738477ac5395b759ULL,0x35752b90c00ee17fULL,0x68748390742ed2e3ULL,0x7cd06422bd1f5bc1ULL,0xfbc08769c9e7b797ULL, + 0x72bcd8b7bc60055bULL,0x03cc23ee56e27e4bULL,0xee337424e4819370ULL,0xe2aa0e430ad3da09ULL,0x40b8524f6383c45dULL,0xd766355442a41b25ULL,0x64efa6de778a4797ULL,0x2042170a7079adf4ULL, + 0x97091dcbd53c5c9dULL,0xf17624b6ac0a177bULL,0xb0f139752cfe2dffULL,0xc1a35c0a6c7a574eULL,0x227d314693e79987ULL,0x0575bf30e89cb80eULL,0x2f4e247f0d1883bbULL,0xebd512263274c3d0ULL, + 0xfea912baa5659ae8ULL,0x68363aba25e1a16eULL,0xb8842277752c41acULL,0xfe545c282897c3fcULL,0x2d36e9e7dc4c696bULL,0x5806244afba977c5ULL,0x85665e9be39508c1ULL,0xf720ee256d12597bULL, + 0x562e4cecc135b208ULL,0x74e1b2654783f47dULL,0x6d2a506c5a3f3b30ULL,0xecead9f4c16762fcULL,0xf29dd4b2e286e5b9ULL,0x1b0fadc083bb3c61ULL,0x7a75023e7fac29a4ULL,0xc086d5f1c9477fa3ULL, + 0xf4f876532de45068ULL,0x37c7a7e89e2e1f6eULL,0xd0825fa2a3584069ULL,0xaf2cea7c1727bf42ULL,0x0360a4fb9e4785a9ULL,0xe5fda49c27299f4aULL,0x48068e1371ac2f71ULL,0x83d0687b9077666fULL, + 0xa4a319acd837879fULL,0x6fc1b49eed6b67b0ULL,0xe395993332f1f3afULL,0x966742eb65432a2eULL,0x4b8dc9feb4966228ULL,0x96cc631243f43950ULL,0x12068859c9b731eeULL,0x7b948dc356f79968ULL, + 0x042c2af497e2feb4ULL,0xd36a42d7aebf7313ULL,0x49d2c9eb084ffdd7ULL,0x9f8aa54b2ef7c76aULL,0x9200b7ba09895e70ULL,0x3bd0c66fddb7fb58ULL,0x2d97d10878eb4cbbULL,0x2d431068d84bde31ULL, + 0x5e5db46acb66e132ULL,0xf1be963a0d925880ULL,0x944a70270317b9e2ULL,0xe266f95948603d48ULL,0x98db66735c208899ULL,0x90472447a2fb18a3ULL,0x8a966939777c619fULL,0x3798142a2a3be21bULL, + 0xe2f73c696755ff89ULL,0xdd3cf7e7473017e6ULL,0x8ef5689d3cf7600dULL,0x948dc4f8b1fc87b4ULL,0xd9e9fe814ea53299ULL,0x2d921ca298eb6028ULL,0xfaecedfd0c9803fcULL,0xf38ae8914d7b4745ULL, + 0x871514560f664534ULL,0x85ceae7c4b68f103ULL,0xac09c4ae65578ab9ULL,0x33ec6868f044b10cULL,0x6ac4832b3a8ec1f1ULL,0x5509d1285847d5efULL,0xf909604f763f1574ULL,0xb16c4303c32f63c4ULL, + 0xfd16847fdec67ef5ULL,0x742ee464233e76b7ULL,0x0b8e4134efc2b4c8ULL,0xca640b8642a3e521ULL,0x653a01908ceb6aa9ULL,0x313c300c547852d5ULL,0x24e4ab126b237af7ULL,0x2ba901628bb47af8ULL, + 0x00467bc58cce08b5ULL,0xb636458c7f178d55ULL,0xc5748baea677d806ULL,0x2763a387dfa394ebULL,0xa12b448a7d3cebb6ULL,0xe7adda3e6f20d850ULL,0xf63ebce51558462cULL,0x58b36143620088a8ULL, + 0xa9d89488a059c142ULL,0x6f5ae714ff0b9346ULL,0x068f237d16fb3664ULL,0x5853e4c4363186acULL,0xe2d87d2363c52f98ULL,0x2ec4a76681828876ULL,0x47b864fae14e7b1cULL,0x0c0bc0e569192408ULL, + 0x624d60492ed22e91ULL,0x6fdfe0b56f072822ULL,0xeeca111539ce2271ULL,0x98100a4fdb01614fULL,0xb6b0daa2a35c628fULL,0xb6f94d2ec87e9a47ULL,0xc67732591d57d9ceULL,0xf70bfeec03884a7bULL, + 0x4ff23ffd248a7d06ULL,0x80c5bfb4878873faULL,0xb7d9ad9005745981ULL,0x179c85db3db01994ULL,0xba41b06261a6966cULL,0x4d82d052eadce5a8ULL,0x9e91cd3ba5e6a318ULL,0x47795f4f95b2dda0ULL, + 0x1ee426ccd5cd79bfULL,0x0032940b946c6e18ULL,0x1b1e8ae057477f58ULL,0xe94f7d346d823278ULL,0xc747cb96782ba21aULL,0xc5254469f72b33a5ULL,0x772ef6dec7f80c81ULL,0xd73acbfe2cd9e6b5ULL, + 0x283c7513caa76097ULL,0x0a624fa936c83906ULL,0x6b20afec715af2c7ULL,0x4b969974eba78bfdULL,0x220755ccd921d60eULL,0x9b944e107baeca13ULL,0x04819d515ded93d4ULL,0x9bbff86e6dddfd27ULL, + 0x21950b421ff6acd3ULL,0xffe7048453dc6909ULL,0xff4cd0b228766127ULL,0xabdbe6084fb7db2bULL,0x837c92285e1109e8ULL,0x26147d27f4645b5aULL,0x4d78f592f7818ed8ULL,0xd394077ef247fa36ULL, + 0x508cec1c3b3f64c9ULL,0xe20bc0ba1e5edf3fULL,0xda1deb852f4318d4ULL,0xd20ebe0d5c3fa443ULL,0x370b4ea773241ea3ULL,0x61f1511c5e1a5f65ULL,0x99a5e23d82681c62ULL,0xd731e383a2f54c2dULL, + 0x97359638546c4d8dULL,0x5f9c3fc492f24679ULL,0x912e8beda8c8acd9ULL,0xec3a318d306634b0ULL,0x80167f41c31cb264ULL,0x3db82f6f522113f2ULL,0xb155bcd2dcafe197ULL,0xfba1da5943465283ULL, + 0x258bbbf9e7305683ULL,0x31eea5bf07ef5be6ULL,0x0deb0e4a46c814c1ULL,0x5cee8449a7b730ddULL,0xeab495c5a0182bdeULL,0xee759f879e27a6b4ULL,0xc2cf6a6880e518caULL,0x25e8013ff14cf3f4ULL, + 0x3ec832e77acaca28ULL,0x1bfeea57c7385b29ULL,0x068212e3fd1eaf38ULL,0xc13298306acf8cccULL,0xb909f2db2aac9e59ULL,0x5748060db661782aULL,0xc5ab2632c79b7a01ULL,0xda44c6c600017626ULL, + 0x69d44ed65c46aa8eULL,0x2100d5d3a8d063d1ULL,0xcb9727eaa2d17c36ULL,0x4c2bab1b8add53b7ULL,0xa084e90c15426704ULL,0x778afcd3a837ebeaULL,0x6651f7017ce477f8ULL,0xa062499846fb7a8bULL, + 0x3667eb1a7f4c04ccULL,0x59556621a9404f84ULL,0x71cdf6537eceb50aULL,0x994a44a69b8335faULL,0xd7faf819dbeb9b69ULL,0x473c5680eed4350dULL,0xb6658466da44bba2ULL,0x0d1bc780872bdbf3ULL, + 0xb8d3d9319ff91fe5ULL,0x039c4800f0518eedULL,0x95c376329182cb26ULL,0x0763a43482fc568dULL,0x707c04d5383e76baULL,0xac98b930824e8197ULL,0x92bf7c8f91230de0ULL,0x90876a0140959b70ULL, +}; diff --git a/cbits/s2n/COMMIT b/cbits/s2n/COMMIT new file mode 100644 --- /dev/null +++ b/cbits/s2n/COMMIT @@ -0,0 +1,1 @@ +62ec77dc6c2c8cc4c48c768f5f785240b55a47bf diff --git a/cbits/s2n/LICENSE b/cbits/s2n/LICENSE new file mode 100644 --- /dev/null +++ b/cbits/s2n/LICENSE @@ -0,0 +1,222 @@ +SPDX-License-Identifier: Apache-2.0 OR ISC or MIT-0 + + +Apache 2.0 license +------------------------------------- + + + Apache License + Version 2.0, January 2004 + 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Measured against crypton's +own code in the same process, agreeing with it on every scalar tried: + +| | crypton | s2n-bignum | +| --- | ---: | ---: | +| Apple M4 | 52.9 us | **20.6** | +| x86-64 with ADX (EPYC 9V74) | 175.9 | **54.5** | +| x86-64, ADX not advertised | 156.1 | **59.4** | + +The third row is the `_alt` path, which is what crypton picks where `CPUID` +does not report ADX. It was measured on a KVM guest whose `CPUID` says so +while the host underneath runs ADX instructions anyway, so it says what the +two implementations cost relative to each other on that path, not what an +actual pre-Broadwell part would do. + +Each routine also carries a machine-checked proof in HOL-Light that it +computes what it says, and is written in a constant-time style. + +## Licence + +`Apache-2.0 OR ISC OR MIT-0`, one of which is on every file and all three in +`LICENSE`. crypton is BSD-3, so it takes these under **ISC** -- the MIT-0 +option would do as well, and the Apache one is the reason OpenSSL's and +BoringSSL's `ecp_nistz256`, which is Apache-2.0 only, cannot be used here. + +## Which variant + +Both forms of each routine are vendored, because which one is faster is not +the same question on the two architectures: + +* **On ARM**, `_alt` is written for parts with high multiplier throughput, + which is what Apple silicon is, and it wins there by 30-40%. The plain + form is for parts that pipeline `UMULH` less well. There is no feature bit + for this, so the choice is made at compile time on `__APPLE__`. +* **On x86-64**, the plain form uses `MULX`, `ADCX` and `ADOX`, and `_alt` is + the fallback for processors without them. That *is* a feature bit, so the + choice is made at run time, from `crypton_x86_simd_features()`. + +## RSA + +`crypton_powm.c`'s modular exponentiation also borrows from here, but only its +innermost step and only on x86-64: `bignum_kmul_16_32`, `bignum_ksqr_16_32`, +`bignum_kmul_32_64`, `bignum_ksqr_32_64` and `bignum_emontredc_8n` replace the +C's Montgomery multiplication and square. The window, the table and its masked +scan are crypton's throughout. Sixteen limbs is 1024 bits and thirty-two is +2048: the halves a CRT exponentiation works in for RSA-2048 and RSA-4096, and +the whole thing without CRT. The reduction wants ADX, so the choice is made at +run time like the other x86-64 ones. + +It is twice the C, because the C cannot form the two carry chains `ADCX` and +`ADOX` give. Measured on an EPYC 7763 at 1024 bits: + +| | C | s2n-bignum | +| --- | ---: | ---: | +| multiplication | 0.4832 us | **0.2479** | +| square | 0.3984 | **0.1994** | + +**Nothing is vendored for AArch64**, where the same five routines measure level +with the C. That took three attempts to establish, and the first two were +wrong in opposite directions: a reading when the x86-64 routines went in put +the C 5% ahead, and one on 2026-09-26 put the assembly 4% ahead. Both were +wall-clock times on a machine with other work on it, where a swing of that size +says nothing. Measured by thread CPU time, taking the best of twenty-five +batches and alternating the two binaries with the order swapped, one RSA-2048 +CRT private operation is 598.9 us through the C and 597.7 through the assembly: +two tenths of a per cent, which is nothing. The two agree on 200 random cases +at 1024 and 2048 bits, so both were computing the same thing. Five files for +nothing is not a trade, so the C stays. + +The gap to OpenSSL on Apple silicon -- about half its speed -- is assembly and +not the C, and no portable C closes it. BearSSL's `i62`, which is as far as +portable C is known to go -- 62-bit limbs in 64-bit words, so that a +multiply-accumulate fits an `__int128` with no carry chain at all, and a +five-bit window against crypton's four -- was built and measured the same way +on the same machine: 626.4 us against crypton's C at 668.0, a tie. + +`bignum_emontredc_8n_cdiff` was tried too and is not the answer either: it +wants a precomputation this test did not give it, and was slower besides. What +the window is worth, and why it is four and not five, is in +`cbits/crypton_powm.c` beside the constant. + +## What is not here + +s2n-bignum has only x86-64 and AArch64, so crypton's C stays and is what +every other architecture uses. `p384_montjscalarmul` and `p521_jscalarmul` +have no affine wrapper upstream; crypton's is in `cbits/p256/p256_s2n.c`'s +sibling for those curves. There is no fixed-base routine for P-384 or +P-521 at all, so signing on those curves keeps crypton's comb. diff --git a/cbits/s2n/arm/bignum_deamont_p384.S b/cbits/s2n/arm/bignum_deamont_p384.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/bignum_deamont_p384.S @@ -0,0 +1,151 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Convert from almost-Montgomery form, z := (x / 2^384) mod p_384 +// Input x[6]; output z[6] +// +// extern void bignum_deamont_p384(uint64_t z[static 6], +// const uint64_t x[static 6]); +// +// Convert a 6-digit bignum x out of its (optionally almost) Montgomery form, +// "almost" meaning any 6-digit input will work, with no range restriction. +// +// Standard ARM ABI: X0 = z, X1 = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_deamont_p384) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_deamont_p384) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_deamont_p384) + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_deamont_p384_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_deamont_p384_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_deamont_p384_alt) + .text + .balign 4 + +// --------------------------------------------------------------------------- +// Core one-step "short" Montgomery reduction macro. Takes input in +// [d5;d4;d3;d2;d1;d0] and returns result in [d6;d5;d4;d3;d2;d1], +// adding to the existing contents of [d5;d4;d3;d2;d1]. It is fine +// for d6 to be the same register as d0. +// +// We want to add (2^384 - 2^128 - 2^96 + 2^32 - 1) * w +// where w = [d0 + (d0<<32)] mod 2^64 +// --------------------------------------------------------------------------- + +#define montreds(d6,d5,d4,d3,d2,d1,d0, t3,t2,t1) \ +/* Our correction multiplier is w = [d0 + (d0<<32)] mod 2^64 */ \ +/* Recycle d0 (which we know gets implicitly cancelled) to store it */ \ + lsl t1, d0, #32 __LF \ + add d0, t1, d0 __LF \ +/* Now let [t2;t1] = 2^64 * w - w + w_hi where w_hi = floor(w/2^32) */ \ +/* We need to subtract 2^32 * this, and we can ignore its lower 32 */ \ +/* bits since by design it will cancel anyway; we only need the w_hi */ \ +/* part to get the carry propagation going. */ \ + lsr t1, d0, #32 __LF \ + subs t1, t1, d0 __LF \ + sbc t2, d0, xzr __LF \ +/* Now select in t1 the field to subtract from d1 */ \ + extr t1, t2, t1, #32 __LF \ +/* And now get the terms to subtract from d2 and d3 */ \ + lsr t2, t2, #32 __LF \ + adds t2, t2, d0 __LF \ + adc t3, xzr, xzr __LF \ +/* Do the subtraction of that portion */ \ + subs d1, d1, t1 __LF \ + sbcs d2, d2, t2 __LF \ + sbcs d3, d3, t3 __LF \ + sbcs d4, d4, xzr __LF \ + sbcs d5, d5, xzr __LF \ +/* Now effectively add 2^384 * w by taking d0 as the input for last sbc */ \ + sbc d6, d0, xzr + +// Input parameters + +#define z x0 +#define x x1 + +// Rotating registers for the intermediate windows + +#define d0 x2 +#define d1 x3 +#define d2 x4 +#define d3 x5 +#define d4 x6 +#define d5 x7 + +// Other temporaries + +#define u x8 +#define v x9 +#define w x10 + +S2N_BN_SYMBOL(bignum_deamont_p384): + +S2N_BN_SYMBOL(bignum_deamont_p384_alt): + CFI_START + +// Set up an initial window with the input x and an extra leading zero + + ldp d0, d1, [x] + ldp d2, d3, [x, #16] + ldp d4, d5, [x, #32] + +// Systematically scroll left doing 1-step reductions + + montreds(d0,d5,d4,d3,d2,d1,d0, u,v,w) + + montreds(d1,d0,d5,d4,d3,d2,d1, u,v,w) + + montreds(d2,d1,d0,d5,d4,d3,d2, u,v,w) + + montreds(d3,d2,d1,d0,d5,d4,d3, u,v,w) + + montreds(d4,d3,d2,d1,d0,d5,d4, u,v,w) + + montreds(d5,d4,d3,d2,d1,d0,d5, u,v,w) + +// Now compare end result in [d5;d4;d3;d2;d1;d0] = dd with p_384 by *adding* +// 2^384 - p_384 = [0;0;0;w;v;u]. This will set CF if +// dd + (2^384 - p_384) >= 2^384, hence iff dd >= p_384 + + mov u, #0xffffffff00000001 + mov v, #0x00000000ffffffff + mov w, #0x0000000000000001 + + adds xzr, d0, u + adcs xzr, d1, v + adcs xzr, d2, w + adcs xzr, d3, xzr + adcs xzr, d4, xzr + adcs xzr, d5, xzr + +// Convert the condition dd >= p_384 into a bitmask in w and do a masked +// subtraction of p_384, via a masked addition of 2^384 - p_384: + + csetm w, cs + and u, u, w + adds d0, d0, u + and v, v, w + adcs d1, d1, v + and w, w, #1 + adcs d2, d2, w + adcs d3, d3, xzr + adcs d4, d4, xzr + adc d5, d5, xzr + +// Store it back + + stp d0, d1, [z] + stp d2, d3, [z, #16] + stp d4, d5, [z, #32] + + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_deamont_p384) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/arm/bignum_demont_p256.S b/cbits/s2n/arm/bignum_demont_p256.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/bignum_demont_p256.S @@ -0,0 +1,99 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Convert from Montgomery form z := (x / 2^256) mod p_256, assuming x reduced +// Input x[4]; output z[4] +// +// extern void bignum_demont_p256(uint64_t z[static 4], +// const uint64_t x[static 4]); +// +// This assumes the input is < p_256 for correctness. If this is not the case, +// use the variant "bignum_deamont_p256" instead. +// +// Standard ARM ABI: X0 = z, X1 = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_demont_p256) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_demont_p256) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_demont_p256) + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_demont_p256_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_demont_p256_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_demont_p256_alt) + .text + .balign 4 + +// --------------------------------------------------------------------------- +// Core one-step "short" Montgomery reduction macro. Takes input in +// [d3;d2;d1;d0] and returns result in [d4;d3;d2;d1], adding to the +// existing contents of [d3;d2;d1] and generating d4 from zero, re-using +// d0 as a temporary internally together with t0, t1 and t2. +// It is fine for d4 to be the same register as d0, and it often is. +// --------------------------------------------------------------------------- + +#define montreds(d4,d3,d2,d1,d0, t2,t1,t0) \ +/* Let w = d0, the original word we use as offset; d0 gets recycled */ \ +/* First let [t2;t1] = 2^32 * w */ \ +/* then let [d0;t0] = (2^64 - 2^32 + 1) * w (overwrite old d0) */ \ + lsl t1, d0, #32 __LF \ + subs t0, d0, t1 __LF \ + lsr t2, d0, #32 __LF \ + sbc d0, d0, t2 __LF \ +/* Hence [d4;..;d1] := [d3;d2;d1;0] + (2^256 - 2^224 + 2^192 + 2^96) * w */ \ + adds d1, d1, t1 __LF \ + adcs d2, d2, t2 __LF \ + adcs d3, d3, t0 __LF \ + adc d4, d0, xzr + +// Input parameters + +#define z x0 +#define x x1 + +// Rotating registers for the intermediate windows (with repetitions) + +#define d0 x2 +#define d1 x3 +#define d2 x4 +#define d3 x5 + +// Other temporaries + +#define u x6 +#define v x7 +#define w x8 + +S2N_BN_SYMBOL(bignum_demont_p256): + +S2N_BN_SYMBOL(bignum_demont_p256_alt): + CFI_START + +// Set up an initial window with the input x and an extra leading zero + + ldp d0, d1, [x] + ldp d2, d3, [x, #16] + +// Systematically scroll left doing 1-step reductions + + montreds(d0,d3,d2,d1,d0, u,v,w) + + montreds(d1,d0,d3,d2,d1, u,v,w) + + montreds(d2,d1,d0,d3,d2, u,v,w) + + montreds(d3,d2,d1,d0,d3, u,v,w) + +// Write back result + + stp d0, d1, [z] + stp d2, d3, [z, #16] + + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_demont_p256) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/arm/bignum_inv_p521.S b/cbits/s2n/arm/bignum_inv_p521.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/bignum_inv_p521.S @@ -0,0 +1,1701 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Modular inverse modulo p_521 = 2^521 - 1 +// Input x[9]; output z[9] +// +// extern void bignum_inv_p521(uint64_t z[static 9],const uint64_t x[static 9]); +// +// Assuming the 9-digit input x is coprime to p_521, i.e. is not divisible +// by it, returns z < p_521 such that x * z == 1 (mod p_521). Note that +// x does not need to be reduced modulo p_521, but the output always is. +// +// Standard ARM ABI: X0 = z, X1 = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_inv_p521) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_inv_p521) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_inv_p521) + + .text + .balign 4 + +// Size in bytes of a 64-bit word + +#define N 8 + +// Used for the return pointer + +#define res x20 + +// Loop counter and d = 2 * delta value for divstep + +#define i x21 +#define d x22 + +// Registers used for matrix element magnitudes and signs + +#define m00 x10 +#define m01 x11 +#define m10 x12 +#define m11 x13 +#define s00 x14 +#define s01 x15 +#define s10 x16 +#define s11 x17 + +// Initial carries for combinations + +#define car0 x9 +#define car1 x19 + +// Input and output, plain registers treated according to pattern + +#define reg0 x0, #0 +#define reg1 x1, #0 +#define reg2 x2, #0 +#define reg3 x3, #0 +#define reg4 x4, #0 + +#define x x1, #0 +#define z x0, #0 + +// Pointer-offset pairs for temporaries on stack + +#define f sp, #0 +#define g sp, #(9*N) +#define u sp, #(18*N) +#define v sp, #(27*N) + +// Total size to reserve on the stack + +#define NSPACE 36*N + +// Very similar to a subroutine call to the s2n-bignum word_divstep59. +// But different in register usage and returning the final matrix in +// registers as follows +// +// [ m00 m01] +// [ m10 m11] + +#define divstep59() \ + and x4, x2, #0xfffff __LF \ + orr x4, x4, #0xfffffe0000000000 __LF \ + and x5, x3, #0xfffff __LF \ + orr x5, x5, #0xc000000000000000 __LF \ + tst x5, #0x1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + asr x5, x5, #1 __LF \ + add x8, x4, #0x100, lsl #12 __LF \ + sbfx x8, x8, #21, #21 __LF \ + mov x11, #0x100000 __LF \ + add x11, x11, x11, lsl #21 __LF \ + add x9, x4, x11 __LF \ + asr x9, x9, #42 __LF \ + add x10, x5, #0x100, lsl #12 __LF \ + sbfx x10, x10, #21, #21 __LF \ + add x11, x5, x11 __LF \ + asr x11, x11, #42 __LF \ + mul x6, x8, x2 __LF \ + mul x7, x9, x3 __LF \ + mul x2, x10, x2 __LF \ + mul x3, x11, x3 __LF \ + add x4, x6, x7 __LF \ + add x5, x2, x3 __LF \ + asr x2, x4, #20 __LF \ + asr x3, x5, #20 __LF \ + and x4, x2, #0xfffff __LF \ + orr x4, x4, #0xfffffe0000000000 __LF \ + and x5, x3, #0xfffff __LF \ + orr x5, x5, #0xc000000000000000 __LF \ + tst x5, #0x1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + asr x5, x5, #1 __LF \ + add x12, x4, #0x100, lsl #12 __LF \ + sbfx x12, x12, #21, #21 __LF \ + mov x15, #0x100000 __LF \ + add x15, x15, x15, lsl #21 __LF \ + add x13, x4, x15 __LF \ + asr x13, x13, #42 __LF \ + add x14, x5, #0x100, lsl #12 __LF \ + sbfx x14, x14, #21, #21 __LF \ + add x15, x5, x15 __LF \ + asr x15, x15, #42 __LF \ + mul x6, x12, x2 __LF \ + mul x7, x13, x3 __LF \ + mul x2, x14, x2 __LF \ + mul x3, x15, x3 __LF \ + add x4, x6, x7 __LF \ + add x5, x2, x3 __LF \ + asr x2, x4, #20 __LF \ + asr x3, x5, #20 __LF \ + and x4, x2, #0xfffff __LF \ + orr x4, x4, #0xfffffe0000000000 __LF \ + and x5, x3, #0xfffff __LF \ + orr x5, x5, #0xc000000000000000 __LF \ + tst x5, #0x1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + mul x2, x12, x8 __LF \ + mul x3, x12, x9 __LF \ + mul x6, x14, x8 __LF \ + mul x7, x14, x9 __LF \ + madd x8, x13, x10, x2 __LF \ + madd x9, x13, x11, x3 __LF \ + madd x16, x15, x10, x6 __LF \ + madd x17, x15, x11, x7 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + asr x5, x5, #1 __LF \ + add x12, x4, #0x100, lsl #12 __LF \ + sbfx x12, x12, #22, #21 __LF \ + mov x15, #0x100000 __LF \ + add x15, x15, x15, lsl #21 __LF \ + add x13, x4, x15 __LF \ + asr x13, x13, #43 __LF \ + add x14, x5, #0x100, lsl #12 __LF \ + sbfx x14, x14, #22, #21 __LF \ + add x15, x5, x15 __LF \ + asr x15, x15, #43 __LF \ + mneg x2, x12, x8 __LF \ + mneg x3, x12, x9 __LF \ + mneg x4, x14, x8 __LF \ + mneg x5, x14, x9 __LF \ + msub m00, x13, x16, x2 __LF \ + msub m01, x13, x17, x3 __LF \ + msub m10, x15, x16, x4 __LF \ + msub m11, x15, x17, x5 + +// Loading large constants + +#define movbig(nn,n3,n2,n1,n0) \ + movz nn, n0 __LF \ + movk nn, n1, lsl #16 __LF \ + movk nn, n2, lsl #32 __LF \ + movk nn, n3, lsl #48 + +S2N_BN_SYMBOL(bignum_inv_p521): + CFI_START + +// Save registers and make room for temporaries + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_DEC_SP(NSPACE) + +// Save the return pointer for the end so we can overwrite x0 later + + mov res, x0 + +// Copy the prime p_521 = 2^521 - 1 into the f variable + + mov x10, #0xFFFFFFFFFFFFFFFF + stp x10, x10, [f] + stp x10, x10, [f+16] + stp x10, x10, [f+32] + stp x10, x10, [f+48] + mov x11, #0x1FF + str x11, [f+64] + +// Copy the input into the g variable, but reduce it strictly mod p_521 +// so that g <= f as assumed in the bound proof. This code fragment is +// very similar to bignum_mod_p521_9 complete with carry condensation. + + ldr x8, [x1, #64] + lsr x9, x8, #9 + + subs xzr, xzr, xzr + ldp x10, x11, [x1] + adcs xzr, x10, x9 + adcs xzr, x11, xzr + ldp x12, x13, [x1, #16] + and x7, x12, x13 + adcs xzr, x7, xzr + ldp x14, x15, [x1, #32] + and x7, x14, x15 + adcs xzr, x7, xzr + ldp x16, x17, [x1, #48] + and x7, x16, x17 + adcs xzr, x7, xzr + orr x7, x8, #~0x1FF + adcs x7, x7, xzr + + adcs x10, x10, x9 + adcs x11, x11, xzr + adcs x12, x12, xzr + adcs x13, x13, xzr + adcs x14, x14, xzr + adcs x15, x15, xzr + adcs x16, x16, xzr + adcs x17, x17, xzr + adc x8, x8, xzr + and x8, x8, #0x1FF + + stp x10, x11, [g] + stp x12, x13, [g+16] + stp x14, x15, [g+32] + stp x16, x17, [g+48] + str x8, [g+64] + +// Also maintain weakly reduced < 2*p_521 vector [u,v] such that +// [f,g] == x * 2^{1239-59*i} * [u,v] (mod p_521) +// starting with [p_521,x] == x * 2^{1239-59*0} * [0,2^-1239] (mod p_521) +// Note that because (2^{a+521} == 2^a) (mod p_521) we simply have +// (2^-1239 == 2^324) (mod p_521) so the constant initializer is simple. +// +// Based on the standard divstep bound, for inputs <= 2^b we need at least +// n >= (9437 * b + 1) / 4096. Since b is 521, that means 1201 iterations. +// Since we package divstep in multiples of 59 bits, we do 21 blocks of 59 +// making *1239* total. (With a bit more effort we could avoid the full 59 +// divsteps and use a shorter tail computation, but we keep it simple.) +// Hence, after the 21st iteration we have [f,g] == x * [u,v] and since +// |f| = 1 we get the modular inverse from u by flipping its sign with f. + + stp xzr, xzr, [u] + stp xzr, xzr, [u+16] + stp xzr, xzr, [u+32] + stp xzr, xzr, [u+48] + str xzr, [u+64] + + mov x10, #16 + stp xzr, xzr, [v] + stp xzr, xzr, [v+16] + stp xzr, x10, [v+32] + stp xzr, xzr, [v+48] + str xzr, [v+64] + +// Start of main loop. We jump into the middle so that the divstep +// portion is common to the special 21st iteration after a uniform +// first 20. + + mov i, #21 + mov d, #1 + b Lbignum_inv_p521_midloop + +Lbignum_inv_p521_loop: + +// Separate the matrix elements into sign-magnitude pairs + + cmp m00, xzr + csetm s00, mi + cneg m00, m00, mi + + cmp m01, xzr + csetm s01, mi + cneg m01, m01, mi + + cmp m10, xzr + csetm s10, mi + cneg m10, m10, mi + + cmp m11, xzr + csetm s11, mi + cneg m11, m11, mi + +// Adjust the initial values to allow for complement instead of negation +// This initial offset is the same for [f,g] and [u,v] compositions. +// Save it in stable registers for the [u,v] part and do [f,g] first. + + and x0, m00, s00 + and x1, m01, s01 + add car0, x0, x1 + + and x0, m10, s10 + and x1, m11, s11 + add car1, x0, x1 + +// Now the computation of the updated f and g values. This maintains a +// 2-word carry between stages so we can conveniently insert the shift +// right by 59 before storing back, and not overwrite digits we need +// again of the old f and g values. +// +// Digit 0 of [f,g] + + ldr x7, [f] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x4, car0, x0 + adc x2, xzr, x1 + ldr x8, [g] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x4, x4, x0 + adc x2, x2, x1 + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x5, car1, x0 + adc x3, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x5, x5, x0 + adc x3, x3, x1 + +// Digit 1 of [f,g] + + ldr x7, [f+N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [g+N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x2, x2, x0 + adc x6, x6, x1 + extr x4, x2, x4, #59 + str x4, [f] + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x3, x3, x0 + adc x4, x4, x1 + extr x5, x3, x5, #59 + str x5, [g] + +// Digit 2 of [f,g] + + ldr x7, [f+2*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [g+2*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x6, x6, x0 + adc x5, x5, x1 + extr x2, x6, x2, #59 + str x2, [f+N] + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x4, x4, x0 + adc x2, x2, x1 + extr x3, x4, x3, #59 + str x3, [g+N] + +// Digit 3 of [f,g] + + ldr x7, [f+3*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x5, x5, x0 + adc x3, xzr, x1 + ldr x8, [g+3*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x5, x6, #59 + str x6, [f+2*N] + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x2, x2, x0 + adc x6, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x2, x2, x0 + adc x6, x6, x1 + extr x4, x2, x4, #59 + str x4, [g+2*N] + +// Digit 4 of [f,g] + + ldr x7, [f+4*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x3, x3, x0 + adc x4, xzr, x1 + ldr x8, [g+4*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x3, x3, x0 + adc x4, x4, x1 + extr x5, x3, x5, #59 + str x5, [f+3*N] + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x6, x6, x0 + adc x5, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x6, x6, x0 + adc x5, x5, x1 + extr x2, x6, x2, #59 + str x2, [g+3*N] + +// Digit 5 of [f,g] + + ldr x7, [f+5*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x4, x4, x0 + adc x2, xzr, x1 + ldr x8, [g+5*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x4, x4, x0 + adc x2, x2, x1 + extr x3, x4, x3, #59 + str x3, [f+4*N] + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x5, x5, x0 + adc x3, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x5, x6, #59 + str x6, [g+4*N] + +// Digit 6 of [f,g] + + ldr x7, [f+6*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [g+6*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x2, x2, x0 + adc x6, x6, x1 + extr x4, x2, x4, #59 + str x4, [f+5*N] + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x3, x3, x0 + adc x4, x4, x1 + extr x5, x3, x5, #59 + str x5, [g+5*N] + +// Digit 7 of [f,g] + + ldr x7, [f+7*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [g+7*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x6, x6, x0 + adc x5, x5, x1 + extr x2, x6, x2, #59 + str x2, [f+6*N] + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x4, x4, x0 + adc x2, x2, x1 + extr x3, x4, x3, #59 + str x3, [g+6*N] + +// Digits 8 and 9 of [f,g] + + ldr x7, [f+8*N] + eor x1, x7, s00 + asr x3, x1, #63 + and x3, x3, m00 + neg x3, x3 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [g+8*N] + eor x1, x8, s01 + asr x0, x1, #63 + and x0, x0, m01 + sub x3, x3, x0 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x5, x6, #59 + str x6, [f+7*N] + extr x5, x3, x5, #59 + str x5, [f+8*N] + + eor x1, x7, s10 + asr x5, x1, #63 + and x5, x5, m10 + neg x5, x5 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, s11 + asr x0, x1, #63 + and x0, x0, m11 + sub x5, x5, x0 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x2, x2, x0 + adc x5, x5, x1 + extr x4, x2, x4, #59 + str x4, [g+7*N] + extr x2, x5, x2, #59 + str x2, [g+8*N] + +// Now the computation of the updated u and v values and their +// modular reductions. A very similar accumulation except that +// the top words of u and v are unsigned and we don't shift. +// +// Digit 0 of [u,v] + + ldr x7, [u] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x4, car0, x0 + adc x2, xzr, x1 + ldr x8, [v] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x4, x4, x0 + str x4, [u] + adc x2, x2, x1 + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x5, car1, x0 + adc x3, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x5, x5, x0 + str x5, [v] + adc x3, x3, x1 + +// Digit 1 of [u,v] + + ldr x7, [u+N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [v+N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x2, x2, x0 + str x2, [u+N] + adc x6, x6, x1 + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x3, x3, x0 + str x3, [v+N] + adc x4, x4, x1 + +// Digit 2 of [u,v] + + ldr x7, [u+2*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [v+2*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x6, x6, x0 + str x6, [u+2*N] + adc x5, x5, x1 + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x4, x4, x0 + str x4, [v+2*N] + adc x2, x2, x1 + +// Digit 3 of [u,v] + + ldr x7, [u+3*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x5, x5, x0 + adc x3, xzr, x1 + ldr x8, [v+3*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x5, x5, x0 + str x5, [u+3*N] + adc x3, x3, x1 + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x2, x2, x0 + adc x6, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x2, x2, x0 + str x2, [v+3*N] + adc x6, x6, x1 + +// Digit 4 of [u,v] + + ldr x7, [u+4*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x3, x3, x0 + adc x4, xzr, x1 + ldr x8, [v+4*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x3, x3, x0 + str x3, [u+4*N] + adc x4, x4, x1 + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x6, x6, x0 + adc x5, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x6, x6, x0 + str x6, [v+4*N] + adc x5, x5, x1 + +// Digit 5 of [u,v] + + ldr x7, [u+5*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x4, x4, x0 + adc x2, xzr, x1 + ldr x8, [v+5*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x4, x4, x0 + str x4, [u+5*N] + adc x2, x2, x1 + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x5, x5, x0 + adc x3, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x5, x5, x0 + str x5, [v+5*N] + adc x3, x3, x1 + +// Digit 6 of [u,v] + + ldr x7, [u+6*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [v+6*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x2, x2, x0 + str x2, [u+6*N] + adc x6, x6, x1 + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x3, x3, x0 + str x3, [v+6*N] + adc x4, x4, x1 + +// Digit 7 of [u,v] + + ldr x7, [u+7*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [v+7*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x6, x6, x0 + str x6, [u+7*N] + adc x5, x5, x1 + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x4, x4, x0 + str x4, [v+7*N] + adc x2, x2, x1 + +// Digits 8 and 9 of u (top is unsigned) + + ldr x7, [u+8*N] + eor x1, x7, s00 + and x3, s00, m00 + neg x3, x3 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [v+8*N] + eor x1, x8, s01 + and x0, s01, m01 + sub x3, x3, x0 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x5, x5, x0 + adc x3, x3, x1 + +// Modular reduction of u, reloading as needed from u[0],...,u[7],x5,x3 + + extr x6, x3, x5, #9 + ldp x0, x1, [u] + add x6, x6, x3, asr #63 + sub x5, x5, x6, lsl #9 + adds x0, x0, x6 + asr x6, x6, #63 + adcs x1, x1, x6 + stp x0, x1, [u] + ldp x0, x1, [u+16] + adcs x0, x0, x6 + adcs x1, x1, x6 + stp x0, x1, [u+16] + ldp x0, x1, [u+32] + adcs x0, x0, x6 + adcs x1, x1, x6 + stp x0, x1, [u+32] + ldp x0, x1, [u+48] + adcs x0, x0, x6 + adcs x1, x1, x6 + stp x0, x1, [u+48] + adc x5, x5, x6 + str x5, [u+64] + +// Digits 8 and 9 of v (top is unsigned) + + eor x1, x7, s10 + and x5, s10, m10 + neg x5, x5 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, s11 + and x0, s11, m11 + sub x5, x5, x0 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x2, x2, x0 + adc x5, x5, x1 + +// Modular reduction of v, reloading as needed from v[0],...,v[7],x2,x5 + + extr x6, x5, x2, #9 + ldp x0, x1, [v] + add x6, x6, x5, asr #63 + sub x2, x2, x6, lsl #9 + adds x0, x0, x6 + asr x6, x6, #63 + adcs x1, x1, x6 + stp x0, x1, [v] + ldp x0, x1, [v+16] + adcs x0, x0, x6 + adcs x1, x1, x6 + stp x0, x1, [v+16] + ldp x0, x1, [v+32] + adcs x0, x0, x6 + adcs x1, x1, x6 + stp x0, x1, [v+32] + ldp x0, x1, [v+48] + adcs x0, x0, x6 + adcs x1, x1, x6 + stp x0, x1, [v+48] + adc x2, x2, x6 + str x2, [v+64] + +Lbignum_inv_p521_midloop: + + mov x1, d + ldr x2, [f] + ldr x3, [g] + divstep59() + mov d, x1 + +// Next iteration + + subs i, i, #1 + bne Lbignum_inv_p521_loop + +// The 21st and last iteration does not need anything except the +// u value and the sign of f; the latter can be obtained from the +// lowest word of f. So it's done differently from the main loop. +// Find the sign of the new f. For this we just need one digit +// since we know (for in-scope cases) that f is either +1 or -1. +// We don't explicitly shift right by 59 either, but looking at +// bit 63 (or any bit >= 60) of the unshifted result is enough +// to distinguish -1 from +1; this is then made into a mask. + + ldr x0, [f] + ldr x1, [g] + mul x0, x0, m00 + madd x1, x1, m01, x0 + asr x0, x1, #63 + +// Now separate out the matrix into sign-magnitude pairs +// and adjust each one based on the sign of f. +// +// Note that at this point we expect |f|=1 and we got its +// sign above, so then since [f,0] == x * [u,v] (mod p_521) +// we want to flip the sign of u according to that of f. + + cmp m00, xzr + csetm s00, mi + cneg m00, m00, mi + eor s00, s00, x0 + + cmp m01, xzr + csetm s01, mi + cneg m01, m01, mi + eor s01, s01, x0 + + cmp m10, xzr + csetm s10, mi + cneg m10, m10, mi + eor s10, s10, x0 + + cmp m11, xzr + csetm s11, mi + cneg m11, m11, mi + eor s11, s11, x0 + +// Adjust the initial value to allow for complement instead of negation + + and x0, m00, s00 + and x1, m01, s01 + add car0, x0, x1 + +// Digit 0 of [u] + + ldr x7, [u] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x4, car0, x0 + adc x2, xzr, x1 + ldr x8, [v] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x4, x4, x0 + str x4, [u] + adc x2, x2, x1 + +// Digit 1 of [u] + + ldr x7, [u+N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [v+N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x2, x2, x0 + str x2, [u+N] + adc x6, x6, x1 + +// Digit 2 of [u] + + ldr x7, [u+2*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [v+2*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x6, x6, x0 + str x6, [u+2*N] + adc x5, x5, x1 + +// Digit 3 of [u] + + ldr x7, [u+3*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x5, x5, x0 + adc x3, xzr, x1 + ldr x8, [v+3*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x5, x5, x0 + str x5, [u+3*N] + adc x3, x3, x1 + +// Digit 4 of [u] + + ldr x7, [u+4*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x3, x3, x0 + adc x4, xzr, x1 + ldr x8, [v+4*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x3, x3, x0 + str x3, [u+4*N] + adc x4, x4, x1 + +// Digit 5 of [u] + + ldr x7, [u+5*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x4, x4, x0 + adc x2, xzr, x1 + ldr x8, [v+5*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x4, x4, x0 + str x4, [u+5*N] + adc x2, x2, x1 + +// Digit 6 of [u] + + ldr x7, [u+6*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [v+6*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x2, x2, x0 + str x2, [u+6*N] + adc x6, x6, x1 + +// Digit 7 of [u] + + ldr x7, [u+7*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [v+7*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x6, x6, x0 + str x6, [u+7*N] + adc x5, x5, x1 + +// Digits 8 and 9 of u (top is unsigned) + + ldr x7, [u+8*N] + eor x1, x7, s00 + and x3, s00, m00 + neg x3, x3 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [v+8*N] + eor x1, x8, s01 + and x0, s01, m01 + sub x3, x3, x0 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x5, x5, x0 + adc x3, x3, x1 + +// Modular reduction of u, reloading as needed from u[0],...,u[7],x5,x3 + + extr x6, x3, x5, #9 + ldp x10, x11, [u] + add x6, x6, x3, asr #63 + sub x5, x5, x6, lsl #9 + adds x10, x10, x6 + asr x6, x6, #63 + adcs x11, x11, x6 + ldp x12, x13, [u+16] + adcs x12, x12, x6 + adcs x13, x13, x6 + ldp x14, x15, [u+32] + adcs x14, x14, x6 + adcs x15, x15, x6 + ldp x16, x17, [u+48] + adcs x16, x16, x6 + adcs x17, x17, x6 + adc x19, x5, x6 + +// Further strict reduction ready for the output, which just means +// a conditional subtraction of p_521 + + subs x0, x10, #-1 + adcs x1, x11, xzr + adcs x2, x12, xzr + adcs x3, x13, xzr + adcs x4, x14, xzr + adcs x5, x15, xzr + adcs x6, x16, xzr + adcs x7, x17, xzr + mov x8, #0x1FF + sbcs x8, x19, x8 + + csel x0, x0, x10, cs + csel x1, x1, x11, cs + csel x2, x2, x12, cs + csel x3, x3, x13, cs + csel x4, x4, x14, cs + csel x5, x5, x15, cs + csel x6, x6, x16, cs + csel x7, x7, x17, cs + csel x8, x8, x19, cs + +// Store it back to the final output + + stp x0, x1, [res] + stp x2, x3, [res, #16] + stp x4, x5, [res, #32] + stp x6, x7, [res, #48] + str x8, [res, #64] + +// Restore stack and registers + + CFI_INC_SP(NSPACE) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_inv_p521) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/arm/bignum_modinv.S b/cbits/s2n/arm/bignum_modinv.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/bignum_modinv.S @@ -0,0 +1,613 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Invert modulo m, z = (1/a) mod b, assuming b is an odd number > 1, coprime a +// Inputs a[k], b[k]; output z[k]; temporary buffer t[>=3*k] +// +// extern void bignum_modinv(uint64_t k, uint64_t *z, const uint64_t *a, +// const uint64_t *b, uint64_t *t); +// +// k-digit (digit=64 bits) "z := a^-1 mod b" (modular inverse of a modulo b) +// using t as a temporary buffer (t at least 3*k words = 24*k bytes), and +// assuming that a and b are coprime *and* that b is an odd number > 1. +// +// Standard ARM ABI: X0 = k, X1 = z, X2 = a, X3 = b, X4 = t +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_modinv) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_modinv) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_modinv) + .text + .balign 4 + +// We get CHUNKSIZE bits per outer iteration, 64 minus a few for proxy errors + +#define CHUNKSIZE 58 + +// Pervasive variables + +#define k x0 +#define z x1 +#define b x3 +#define w x4 + +// This one is recycled after initial copying in of a as outer loop counter + +#define a x2 +#define t x2 + +// Additional variables; later ones are currently rather high regs + +#define l x5 + +#define m x21 +#define n x22 + +// The matrix of update factors to apply to m and n +// Also used a couple of additional temporary variables for the swapping loop +// Also used as an extra down-counter in corrective negation loops + +#define m_m x6 +#define m_n x7 +#define n_m x8 +#define n_n x9 + +#define j x6 + +// General temporary variables and loop counters + +#define i x10 +#define t1 x11 +#define t2 x12 + +// High and low proxies for the inner loop +// Then re-used for high and carry words during actual cross-multiplications + +#define m_hi x13 +#define n_hi x14 +#define m_lo x15 +#define n_lo x16 + +#define h1 x13 +#define h2 x14 +#define l1 x15 +#define l2 x16 + +#define c1 x17 +#define c2 x19 + +// Negated modular inverse for Montgomery + +#define v x20 + +// Some more intuitive names for temp regs in initial word-level negmodinv. +// These just use t1 and t2 again, though carefully since t1 = initial b[0] + +#define one t2 +#define e1 t2 +#define e2 t1 +#define e4 t2 +#define e8 t1 + +S2N_BN_SYMBOL(bignum_modinv): + CFI_START + +// We make use of registers beyond the modifiable + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + +// If k = 0 then do nothing (this is out of scope anyway) + + cbz k, Lbignum_modinv_end + +// Set up the additional two buffers m and n beyond w in temp space + + lsl i, k, #3 + add m, w, i + add n, m, i + +// Initialize the main buffers with their starting values: +// m = a, n = b, w = b (to be tweaked to b - 1) and z = 0 + + mov i, xzr +Lbignum_modinv_copyloop: + ldr t1, [a, i, lsl #3] + ldr t2, [b, i, lsl #3] + str t1, [m, i, lsl #3] + str t2, [n, i, lsl #3] + str t2, [w, i, lsl #3] + str xzr, [z, i, lsl #3] + add i, i, #1 + cmp i, k + bcc Lbignum_modinv_copyloop + +// Tweak down w to b - 1 (this crude approach is safe as b needs to be odd +// for it to be in scope). We have then established the congruence invariant: +// +// a * w == -m (mod b) +// a * z == n (mod b) +// +// This, with the bound w <= b and z <= b, is maintained round the outer loop + + ldr t1, [w] + sub t2, t1, #1 + str t2, [w] + +// Compute v = negated modular inverse of b mod 2^64, reusing t1 from above +// This is used for Montgomery reduction operations each time round the loop + + lsl v, t1, #2 + sub v, t1, v + eor v, v, #2 + mov one, #1 + madd e1, t1, v, one + mul e2, e1, e1 + madd v, e1, v, v + mul e4, e2, e2 + madd v, e2, v, v + mul e8, e4, e4 + madd v, e4, v, v + madd v, e8, v, v + +// Set up the outer loop count of 128 * k +// The invariant is that m * n < 2^t at all times. + + lsl t, k, #7 + +// Start of the main outer loop iterated t / CHUNKSIZE times + +Lbignum_modinv_outerloop: + +// We need only bother with sharper l = min k (ceil(t/64)) digits +// for the computations on m and n (but we still need k for w and z). +// Either both m and n fit in l digits, or m has become zero and so +// nothing happens in the loop anyway and this makes no difference. + + add i, t, #63 + lsr l, i, #6 + cmp l, k + csel l, k, l, cs + +// Select upper and lower proxies for both m and n to drive the inner +// loop. The lower proxies are simply the lowest digits themselves, +// m_lo = m[0] and n_lo = n[0], while the upper proxies are bitfields +// of the two inputs selected so their top bit (63) aligns with the +// most significant bit of *either* of the two inputs. + + mov h1, xzr // Previous high and low for m + mov l1, xzr + mov h2, xzr // Previous high and low for n + mov l2, xzr + mov c2, xzr // Mask flag: previous word of one was nonzero + // and in this case h1 and h2 are those words + mov i, xzr +Lbignum_modinv_toploop: + ldr t1, [m, i, lsl #3] + ldr t2, [n, i, lsl #3] + orr c1, t1, t2 + cmp c1, xzr + and c1, c2, h1 + csel l1, c1, l1, ne + and c1, c2, h2 + csel l2, c1, l2, ne + csel h1, t1, h1, ne + csel h2, t2, h2, ne + csetm c2, ne + add i, i, #1 + cmp i, l + bcc Lbignum_modinv_toploop + + orr t1, h1, h2 + clz t2, t1 + negs c1, t2 + lsl h1, h1, t2 + csel l1, l1, xzr, ne + lsl h2, h2, t2 + csel l2, l2, xzr, ne + lsr l1, l1, c1 + lsr l2, l2, c1 + orr m_hi, h1, l1 + orr n_hi, h2, l2 + + ldr m_lo, [m] + ldr n_lo, [n] + +// Now the inner loop, with i as loop counter from CHUNKSIZE down. +// This records a matrix of updates to apply to the initial +// values of m and n with, at stage j: +// +// sgn * m' = (m_m * m - m_n * n) / 2^j +// -sgn * n' = (n_m * m - n_n * n) / 2^j +// +// where "sgn" is either +1 or -1, and we lose track of which except +// that both instance above are the same. This throwing away the sign +// costs nothing (since we have to correct in general anyway because +// of the proxied comparison) and makes things a bit simpler. But it +// is simply the parity of the number of times the first condition, +// used as the swapping criterion, fires in this loop. + + mov m_m, #1 + mov m_n, xzr + mov n_m, xzr + mov n_n, #1 + + mov i, #CHUNKSIZE + +// Conceptually in the inner loop we follow these steps: +// +// * If m_lo is odd and m_hi < n_hi, then swap the four pairs +// (m_hi,n_hi); (m_lo,n_lo); (m_m,n_m); (m_n,n_n) +// +// * Now, if m_lo is odd (old or new, doesn't matter as initial n_lo is odd) +// m_hi := m_hi - n_hi, m_lo := m_lo - n_lo +// m_m := m_m + n_m, m_n := m_n + n_n +// +// * Halve and double them +// m_hi := m_hi / 2, m_lo := m_lo / 2 +// n_m := n_m * 2, n_n := n_n * 2 +// +// The actual computation computes updates before actually swapping and +// then corrects as needed. It also maintains the invariant ~ZF <=> odd(m_lo), +// since it seems to reduce the dependent latency. Set that up first. + + ands xzr, m_lo, #1 + +Lbignum_modinv_innerloop: + +// At the start of the loop ~ZF <=> m_lo is odd; mask values accordingly +// Set the flags for m_hi - [~ZF] * n_hi so we know to flip things. + + csel t1, n_hi, xzr, ne + csel t2, n_lo, xzr, ne + csel c1, n_m, xzr, ne + csel c2, n_n, xzr, ne + ccmp m_hi, n_hi, #0x2, ne + +// Compute subtractive updates, trivial in the case ZF <=> even(m_lo). + + sub t1, m_hi, t1 + sub t2, m_lo, t2 + +// If the subtraction borrows, swap things appropriately, negating where +// we've already subtracted so things are as if we actually swapped first. + + csel n_hi, n_hi, m_hi, cs + cneg t1, t1, cc + csel n_lo, n_lo, m_lo, cs + cneg m_lo, t2, cc + csel n_m, n_m, m_m, cs + csel n_n, n_n, m_n, cs + +// Update and shift while setting oddness flag for next iteration +// We look at bit 1 of t2 (m_lo before possible negation), which is +// safe because it is even. + + ands xzr, t2, #2 + add m_m, m_m, c1 + add m_n, m_n, c2 + lsr m_hi, t1, #1 + lsr m_lo, m_lo, #1 + add n_m, n_m, n_m + add n_n, n_n, n_n + +// Next iteration; don't disturb the flags since they are used at entry + + sub i, i, #1 + cbnz i, Lbignum_modinv_innerloop + +// Apply the update to w and z, using addition in this case, and also take +// the chance to shift an additional 6 = 64-CHUNKSIZE bits to be ready for a +// Montgomery multiplication. Because we know that m_m + m_n <= 2^58 and +// w, z <= b < 2^{64k}, we know that both of these fit in k+1 words. +// We do this before the m-n update to allow us to play with c1 and c2 here. +// +// h1::w = 2^6 * (m_m * w + m_n * z) +// h2::z = 2^6 * (n_m * w + n_n * z) +// +// with c1 and c2 recording previous words for the shifting part + + mov h1, xzr + mov h2, xzr + mov c1, xzr + mov c2, xzr + + mov i, xzr +Lbignum_modinv_congloop: + ldr t1, [w, i, lsl #3] + ldr t2, [z, i, lsl #3] + + mul l1, m_m, t1 + mul l2, m_n, t2 + adds l1, l1, h1 + umulh h1, m_m, t1 + adc h1, h1, xzr + adds l1, l1, l2 + extr c1, l1, c1, #CHUNKSIZE + str c1, [w, i, lsl #3] + mov c1, l1 + umulh l1, m_n, t2 + adc h1, h1, l1 + + mul l1, n_m, t1 + mul l2, n_n, t2 + adds l1, l1, h2 + umulh h2, n_m, t1 + adc h2, h2, xzr + adds l1, l1, l2 + extr c2, l1, c2, #CHUNKSIZE + str c2, [z, i, lsl #3] + mov c2, l1 + umulh l1, n_n, t2 + adc h2, h2, l1 + + add i, i, #1 + cmp i, k + bcc Lbignum_modinv_congloop + + extr h1, h1, c1, #CHUNKSIZE + extr h2, h2, c2, #CHUNKSIZE + +// Do a Montgomery reduction of h1::w + + ldr t1, [w] + mul c1, t1, v + ldr t2, [b] + mul l1, c1, t2 + umulh l2, c1, t2 + adds t1, t1, l1 // Will be zero but want the carry + + mov i, #1 + sub t1, k, #1 + cbz t1, Lbignum_modinv_wmontend +Lbignum_modinv_wmontloop: + ldr t1, [b, i, lsl #3] + ldr t2, [w, i, lsl #3] + mul l1, c1, t1 + adcs t2, t2, l2 + umulh l2, c1, t1 + adc l2, l2, xzr + adds t2, t2, l1 + sub l1, i, #1 + str t2, [w, l1, lsl #3] + add i, i, #1 + sub t1, i, k + cbnz t1, Lbignum_modinv_wmontloop +Lbignum_modinv_wmontend: + adcs l2, l2, h1 + adc h1, xzr, xzr + sub l1, i, #1 + str l2, [w, l1, lsl #3] + + subs i, xzr, xzr +Lbignum_modinv_wcmploop: + ldr t1, [w, i, lsl #3] + ldr t2, [b, i, lsl #3] + sbcs xzr, t1, t2 + add i, i, #1 + sub t1, i, k + cbnz t1, Lbignum_modinv_wcmploop + + sbcs xzr, h1, xzr + csetm h1, cs + + subs i, xzr, xzr +Lbignum_modinv_wcorrloop: + ldr t1, [w, i, lsl #3] + ldr t2, [b, i, lsl #3] + and t2, t2, h1 + sbcs t1, t1, t2 + str t1, [w, i, lsl #3] + add i, i, #1 + sub t1, i, k + cbnz t1, Lbignum_modinv_wcorrloop + +// Do a Montgomery reduction of h2::z + + ldr t1, [z] + mul c1, t1, v + ldr t2, [b] + mul l1, c1, t2 + umulh l2, c1, t2 + adds t1, t1, l1 // Will be zero but want the carry + + mov i, #1 + sub t1, k, #1 + cbz t1, Lbignum_modinv_zmontend +Lbignum_modinv_zmontloop: + ldr t1, [b, i, lsl #3] + ldr t2, [z, i, lsl #3] + mul l1, c1, t1 + adcs t2, t2, l2 + umulh l2, c1, t1 + adc l2, l2, xzr + adds t2, t2, l1 + sub l1, i, #1 + str t2, [z, l1, lsl #3] + add i, i, #1 + sub t1, i, k + cbnz t1, Lbignum_modinv_zmontloop +Lbignum_modinv_zmontend: + adcs l2, l2, h2 + adc h2, xzr, xzr + sub l1, i, #1 + str l2, [z, l1, lsl #3] + + subs i, xzr, xzr +Lbignum_modinv_zcmploop: + ldr t1, [z, i, lsl #3] + ldr t2, [b, i, lsl #3] + sbcs xzr, t1, t2 + add i, i, #1 + sub t1, i, k + cbnz t1, Lbignum_modinv_zcmploop + + sbcs xzr, h2, xzr + csetm h2, cs + + subs i, xzr, xzr +Lbignum_modinv_zcorrloop: + ldr t1, [z, i, lsl #3] + ldr t2, [b, i, lsl #3] + and t2, t2, h2 + sbcs t1, t1, t2 + str t1, [z, i, lsl #3] + add i, i, #1 + sub t1, i, k + cbnz t1, Lbignum_modinv_zcorrloop + +// Now actually compute the updates to m and n corresponding to the matrix, +// and correct the signs if they have gone negative. First we compute the +// (k+1)-sized updates with the following invariant (here c1 and c2 are in +// fact carry bitmasks, either 0 or -1): +// +// c1::h1::m = m_m * m - m_n * n +// c2::h2::n = n_m * m - n_n * n + + mov h1, xzr + mov h2, xzr + mov c1, xzr + mov c2, xzr + mov i, xzr +Lbignum_modinv_crossloop: + ldr t1, [m, i, lsl #3] + ldr t2, [n, i, lsl #3] + + mul l1, m_m, t1 + mul l2, m_n, t2 + adds l1, l1, h1 + umulh h1, m_m, t1 + adc h1, h1, xzr + subs l1, l1, l2 + str l1, [m, i, lsl #3] + umulh l1, m_n, t2 + sub c1, l1, c1 + sbcs h1, h1, c1 + csetm c1, cc + + mul l1, n_m, t1 + mul l2, n_n, t2 + adds l1, l1, h2 + umulh h2, n_m, t1 + adc h2, h2, xzr + subs l1, l1, l2 + str l1, [n, i, lsl #3] + umulh l1, n_n, t2 + sub c2, l1, c2 + sbcs h2, h2, c2 + csetm c2, cc + + add i, i, #1 + cmp i, l + bcc Lbignum_modinv_crossloop + +// Write back m optionally negated and shifted right CHUNKSIZE bits + + adds xzr, c1, c1 + + ldr l1, [m] + mov i, xzr + sub j, l, #1 + cbz j, Lbignum_modinv_negskip1 + +Lbignum_modinv_negloop1: + add t1, i, #8 + ldr t2, [m, t1] + extr l1, t2, l1, #CHUNKSIZE + eor l1, l1, c1 + adcs l1, l1, xzr + str l1, [m, i] + mov l1, t2 + add i, i, #8 + sub j, j, #1 + cbnz j, Lbignum_modinv_negloop1 +Lbignum_modinv_negskip1: + extr l1, h1, l1, #CHUNKSIZE + eor l1, l1, c1 + adcs l1, l1, xzr + str l1, [m, i] + +// Write back n optionally negated and shifted right CHUNKSIZE bits + + adds xzr, c2, c2 + + ldr l1, [n] + mov i, xzr + sub j, l, #1 + cbz j, Lbignum_modinv_negskip2 +Lbignum_modinv_negloop2: + add t1, i, #8 + ldr t2, [n, t1] + extr l1, t2, l1, #CHUNKSIZE + eor l1, l1, c2 + adcs l1, l1, xzr + str l1, [n, i] + mov l1, t2 + add i, i, #8 + sub j, j, #1 + cbnz j, Lbignum_modinv_negloop2 +Lbignum_modinv_negskip2: + extr l1, h2, l1, #CHUNKSIZE + eor l1, l1, c2 + adcs l1, l1, xzr + str l1, [n, i] + +// Finally, use the signs c1 and c2 to do optional modular negations of +// w and z respectively, flipping c2 to make signs work. We don't make +// any checks for zero values, but we certainly retain w <= b and z <= b. +// This is enough for the Montgomery step in the next iteration to give +// strict reduction w < b amd z < b, and anyway when we terminate we +// could not have z = b since it violates the coprimality assumption for +// in-scope cases. + + mov i, xzr + adds xzr, c1, c1 +Lbignum_modinv_wfliploop: + ldr t1, [b, i, lsl #3] + ldr t2, [w, i, lsl #3] + and t1, t1, c1 + eor t2, t2, c1 + adcs t1, t1, t2 + str t1, [w, i, lsl #3] + add i, i, #1 + sub t1, i, k + cbnz t1, Lbignum_modinv_wfliploop + + mvn c2, c2 + + mov i, xzr + adds xzr, c2, c2 +Lbignum_modinv_zfliploop: + ldr t1, [b, i, lsl #3] + ldr t2, [z, i, lsl #3] + and t1, t1, c2 + eor t2, t2, c2 + adcs t1, t1, t2 + str t1, [z, i, lsl #3] + add i, i, #1 + sub t1, i, k + cbnz t1, Lbignum_modinv_zfliploop + +// End of main loop. We can stop if t' <= 0 since then m * n < 2^0, which +// since n is odd and m and n are coprime (in the in-scope cases) means +// m = 0, n = 1 and hence from the congruence invariant a * z == 1 (mod b). +// Moreover we do in fact need to maintain strictly t > 0 in the main loop, +// or the computation of the optimized digit bound l could collapse to 0. + + subs t, t, #CHUNKSIZE + bhi Lbignum_modinv_outerloop + +Lbignum_modinv_end: + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_modinv) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/arm/bignum_montinv_p384.S b/cbits/s2n/arm/bignum_montinv_p384.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/bignum_montinv_p384.S @@ -0,0 +1,1493 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Montgomery inverse modulo p_384 = 2^384 - 2^128 - 2^96 + 2^32 - 1 +// Input x[6]; output z[6] +// +// extern void bignum_montinv_p384(uint64_t z[static 6], +// const uint64_t x[static 6]); +// +// If the 6-digit input x is coprime to p_384, i.e. is not divisible +// by it, returns z < p_384 such that x * z == 2^768 (mod p_384). This +// is effectively "Montgomery inverse" because if we consider x and z as +// Montgomery forms of X and Z, i.e. x == 2^384 * X and z == 2^384 * Z +// (both mod p_384) then X * Z == 1 (mod p_384). That is, this function +// gives the analog of the modular inverse bignum_inv_p384 but with both +// input and output in the Montgomery domain. Note that x does not need +// to be reduced modulo p_384, but the output always is. If the input +// is divisible (i.e. is 0 or p_384), then there can be no solution to +// the congruence x * z == 2^768 (mod p_384), and z = 0 is returned. +// +// Standard ARM ABI: X0 = z, X1 = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_montinv_p384) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_montinv_p384) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_montinv_p384) + + .text + .balign 4 + +// Size in bytes of a 64-bit word + +#define N 8 + +// Used for the return pointer + +#define res x20 + +// Loop counter and d = 2 * delta value for divstep + +#define i x21 +#define d x22 + +// Registers used for matrix element magnitudes and signs + +#define m00 x10 +#define m01 x11 +#define m10 x12 +#define m11 x13 +#define s00 x14 +#define s01 x15 +#define s10 x16 +#define s11 x17 + +// Initial carries for combinations + +#define car0 x9 +#define car1 x19 + +// Input and output, plain registers treated according to pattern + +#define reg0 x0, #0 +#define reg1 x1, #0 +#define reg2 x2, #0 +#define reg3 x3, #0 +#define reg4 x4, #0 + +#define x x1, #0 +#define z x0, #0 + +// Pointer-offset pairs for temporaries on stack +// The u and v variables are 6 words each as expected, but the f and g +// variables are 8 words each -- they need to have at least one extra +// word for a sign word, and to preserve alignment we "round up" to 8. +// In fact, we currently keep an extra word in u and v as well. + +#define f sp, #0 +#define g sp, #(8*N) +#define u sp, #(16*N) +#define v sp, #(24*N) + +// Total size to reserve on the stack + +#define NSPACE 32*N + +// --------------------------------------------------------------------------- +// Core signed almost-Montgomery reduction macro. Takes input in +// [d6;d5;d4;d3;d2;d1;d0] and returns result in [d6;d5d4;d3;d2;d1], adding +// to the existing [d6;d5;d4;d3;d2;d1], and re-using d0 as a temporary +// internally as well as t0, t1, t2. This is almost-Montgomery, i.e. the +// result fits in 6 digits but is not necessarily strictly reduced mod p_384. +// --------------------------------------------------------------------------- + +#define amontred(d6,d5,d4,d3,d2,d1,d0, t3,t2,t1) \ +/* We only know the input is -2^444 < x < 2^444. To do traditional */ \ +/* unsigned Montgomery reduction, start by adding 2^61 * p_384. */ \ + mov t1, #0xe000000000000000 __LF \ + adds d0, d0, t1 __LF \ + mov t2, #0x000000001fffffff __LF \ + adcs d1, d1, t2 __LF \ + mov t3, #0xffffffffe0000000 __LF \ + bic t3, t3, #0x2000000000000000 __LF \ + adcs d2, d2, t3 __LF \ + sbcs d3, d3, xzr __LF \ + sbcs d4, d4, xzr __LF \ + sbcs d5, d5, xzr __LF \ + mov t1, #0x1fffffffffffffff __LF \ + adc d6, d6, t1 __LF \ +/* Our correction multiplier is w = [d0 + (d0<<32)] mod 2^64 */ \ +/* Store it back into d0 since we no longer need that digit. */ \ + add d0, d0, d0, lsl #32 __LF \ +/* Now let [t3;t2;t1;-] = (2^384 - p_384) * w */ \ +/* We know the lowest word will cancel d0 so we don't need it */ \ + mov t1, #0xffffffff00000001 __LF \ + umulh t1, t1, d0 __LF \ + mov t2, #0x00000000ffffffff __LF \ + mul t3, t2, d0 __LF \ + umulh t2, t2, d0 __LF \ + adds t1, t1, t3 __LF \ + adcs t2, t2, d0 __LF \ + cset t3, cs __LF \ +/* Now x + p_384 * w = (x + 2^384 * w) - (2^384 - p_384) * w */ \ +/* We catch the net top carry from add-subtract in the digit d0 */ \ + adds d6, d6, d0 __LF \ + cset d0, cs __LF \ + subs d1, d1, t1 __LF \ + sbcs d2, d2, t2 __LF \ + sbcs d3, d3, t3 __LF \ + sbcs d4, d4, xzr __LF \ + sbcs d5, d5, xzr __LF \ + sbcs d6, d6, xzr __LF \ + sbcs d0, d0, xzr __LF \ +/* Now if d0 is nonzero we subtract p_384 (almost-Montgomery) */ \ + neg d0, d0 __LF \ + and t1, d0, #0x00000000ffffffff __LF \ + and t2, d0, #0xffffffff00000000 __LF \ + and t3, d0, #0xfffffffffffffffe __LF \ + subs d1, d1, t1 __LF \ + sbcs d2, d2, t2 __LF \ + sbcs d3, d3, t3 __LF \ + sbcs d4, d4, d0 __LF \ + sbcs d5, d5, d0 __LF \ + sbc d6, d6, d0 + +// Very similar to a subroutine call to the s2n-bignum word_divstep59. +// But different in register usage and returning the final matrix in +// registers as follows +// +// [ m00 m01] +// [ m10 m11] + +#define divstep59() \ + and x4, x2, #0xfffff __LF \ + orr x4, x4, #0xfffffe0000000000 __LF \ + and x5, x3, #0xfffff __LF \ + orr x5, x5, #0xc000000000000000 __LF \ + tst x5, #0x1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + asr x5, x5, #1 __LF \ + add x8, x4, #0x100, lsl #12 __LF \ + sbfx x8, x8, #21, #21 __LF \ + mov x11, #0x100000 __LF \ + add x11, x11, x11, lsl #21 __LF \ + add x9, x4, x11 __LF \ + asr x9, x9, #42 __LF \ + add x10, x5, #0x100, lsl #12 __LF \ + sbfx x10, x10, #21, #21 __LF \ + add x11, x5, x11 __LF \ + asr x11, x11, #42 __LF \ + mul x6, x8, x2 __LF \ + mul x7, x9, x3 __LF \ + mul x2, x10, x2 __LF \ + mul x3, x11, x3 __LF \ + add x4, x6, x7 __LF \ + add x5, x2, x3 __LF \ + asr x2, x4, #20 __LF \ + asr x3, x5, #20 __LF \ + and x4, x2, #0xfffff __LF \ + orr x4, x4, #0xfffffe0000000000 __LF \ + and x5, x3, #0xfffff __LF \ + orr x5, x5, #0xc000000000000000 __LF \ + tst x5, #0x1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + asr x5, x5, #1 __LF \ + add x12, x4, #0x100, lsl #12 __LF \ + sbfx x12, x12, #21, #21 __LF \ + mov x15, #0x100000 __LF \ + add x15, x15, x15, lsl #21 __LF \ + add x13, x4, x15 __LF \ + asr x13, x13, #42 __LF \ + add x14, x5, #0x100, lsl #12 __LF \ + sbfx x14, x14, #21, #21 __LF \ + add x15, x5, x15 __LF \ + asr x15, x15, #42 __LF \ + mul x6, x12, x2 __LF \ + mul x7, x13, x3 __LF \ + mul x2, x14, x2 __LF \ + mul x3, x15, x3 __LF \ + add x4, x6, x7 __LF \ + add x5, x2, x3 __LF \ + asr x2, x4, #20 __LF \ + asr x3, x5, #20 __LF \ + and x4, x2, #0xfffff __LF \ + orr x4, x4, #0xfffffe0000000000 __LF \ + and x5, x3, #0xfffff __LF \ + orr x5, x5, #0xc000000000000000 __LF \ + tst x5, #0x1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + mul x2, x12, x8 __LF \ + mul x3, x12, x9 __LF \ + mul x6, x14, x8 __LF \ + mul x7, x14, x9 __LF \ + madd x8, x13, x10, x2 __LF \ + madd x9, x13, x11, x3 __LF \ + madd x16, x15, x10, x6 __LF \ + madd x17, x15, x11, x7 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + tst x5, #0x2 __LF \ + asr x5, x5, #1 __LF \ + csel x6, x4, xzr, ne __LF \ + ccmp x1, xzr, #0x8, ne __LF \ + cneg x1, x1, ge __LF \ + cneg x6, x6, ge __LF \ + csel x4, x5, x4, ge __LF \ + add x5, x5, x6 __LF \ + add x1, x1, #0x2 __LF \ + asr x5, x5, #1 __LF \ + add x12, x4, #0x100, lsl #12 __LF \ + sbfx x12, x12, #22, #21 __LF \ + mov x15, #0x100000 __LF \ + add x15, x15, x15, lsl #21 __LF \ + add x13, x4, x15 __LF \ + asr x13, x13, #43 __LF \ + add x14, x5, #0x100, lsl #12 __LF \ + sbfx x14, x14, #22, #21 __LF \ + add x15, x5, x15 __LF \ + asr x15, x15, #43 __LF \ + mneg x2, x12, x8 __LF \ + mneg x3, x12, x9 __LF \ + mneg x4, x14, x8 __LF \ + mneg x5, x14, x9 __LF \ + msub m00, x13, x16, x2 __LF \ + msub m01, x13, x17, x3 __LF \ + msub m10, x15, x16, x4 __LF \ + msub m11, x15, x17, x5 + +S2N_BN_SYMBOL(bignum_montinv_p384): + CFI_START + +// Save registers and make room for temporaries + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_DEC_SP(NSPACE) + +// Save the return pointer for the end so we can overwrite x0 later + + mov res, x0 + +// Copy the prime and input into the main f and g variables respectively. +// Make sure x is reduced so that g <= f as assumed in the bound proof. + + mov x10, #0x00000000ffffffff + mov x11, #0xffffffff00000000 + mov x12, #0xfffffffffffffffe + mov x15, #0xffffffffffffffff + stp x10, x11, [f] + stp x12, x15, [f+2*N] + stp x15, x15, [f+4*N] + str xzr, [f+6*N] + + ldp x2, x3, [x1] + subs x10, x2, x10 + sbcs x11, x3, x11 + ldp x4, x5, [x1, #(2*N)] + sbcs x12, x4, x12 + sbcs x13, x5, x15 + ldp x6, x7, [x1, #(4*N)] + sbcs x14, x6, x15 + sbcs x15, x7, x15 + + csel x2, x2, x10, cc + csel x3, x3, x11, cc + csel x4, x4, x12, cc + csel x5, x5, x13, cc + csel x6, x6, x14, cc + csel x7, x7, x15, cc + + stp x2, x3, [g] + stp x4, x5, [g+2*N] + stp x6, x7, [g+4*N] + str xzr, [g+6*N] + +// Also maintain reduced < 2^384 vector [u,v] such that +// [f,g] == x * 2^{5*i-843} * [u,v] (mod p_384) +// starting with [p_384,x] == x * 2^{5*0-843} * [0,2^843] (mod p_384) +// The weird-looking 5*i modifications come in because we are doing +// 64-bit word-sized Montgomery reductions at each stage, which is +// 5 bits more than the 59-bit requirement to keep things stable. +// After the 15th and last iteration and sign adjustment, when +// f == 1 for in-scope cases, we have x * 2^{75-843} * u == 1, i.e. +// x * u == 2^768 as required. + + stp xzr, xzr, [u] + stp xzr, xzr, [u+2*N] + stp xzr, xzr, [u+4*N] + +// The starting constant 2^843 mod p_384 is +// 0x0000000000000800:00001000000007ff:fffff00000000000 +// :00001000000007ff:fffff00000000800:0000000000000000 +// where colons separate 64-bit subwords, least significant at the right. +// Not all of these are single loads on ARM so this is a bit dynamic + + mov x12, #0xfffff00000000000 + orr x10, x12, #0x0000000000000800 + stp xzr, x10, [v] + mov x11, #0x00000000000007ff + orr x11, x11, #0x0000100000000000 + stp x11, x12, [v+2*N] + mov x12, #0x0000000000000800 + stp x11, x12, [v+4*N] + +// Start of main loop. We jump into the middle so that the divstep +// portion is common to the special fifteenth iteration after a uniform +// first 14. + + mov i, #15 + mov d, #1 + b Lbignum_montinv_p384_midloop + +Lbignum_montinv_p384_loop: + +// Separate the matrix elements into sign-magnitude pairs + + cmp m00, xzr + csetm s00, mi + cneg m00, m00, mi + + cmp m01, xzr + csetm s01, mi + cneg m01, m01, mi + + cmp m10, xzr + csetm s10, mi + cneg m10, m10, mi + + cmp m11, xzr + csetm s11, mi + cneg m11, m11, mi + +// Adjust the initial values to allow for complement instead of negation +// This initial offset is the same for [f,g] and [u,v] compositions. +// Save it in stable registers for the [u,v] part and do [f,g] first. + + and x0, m00, s00 + and x1, m01, s01 + add car0, x0, x1 + + and x0, m10, s10 + and x1, m11, s11 + add car1, x0, x1 + +// Now the computation of the updated f and g values. This maintains a +// 2-word carry between stages so we can conveniently insert the shift +// right by 59 before storing back, and not overwrite digits we need +// again of the old f and g values. +// +// Digit 0 of [f,g] + + ldr x7, [f] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x4, car0, x0 + adc x2, xzr, x1 + ldr x8, [g] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x4, x4, x0 + adc x2, x2, x1 + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x5, car1, x0 + adc x3, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x5, x5, x0 + adc x3, x3, x1 + +// Digit 1 of [f,g] + + ldr x7, [f+N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [g+N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x2, x2, x0 + adc x6, x6, x1 + extr x4, x2, x4, #59 + str x4, [f] + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x3, x3, x0 + adc x4, x4, x1 + extr x5, x3, x5, #59 + str x5, [g] + +// Digit 2 of [f,g] + + ldr x7, [f+2*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [g+2*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x6, x6, x0 + adc x5, x5, x1 + extr x2, x6, x2, #59 + str x2, [f+N] + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x4, x4, x0 + adc x2, x2, x1 + extr x3, x4, x3, #59 + str x3, [g+N] + +// Digit 3 of [f,g] + + ldr x7, [f+3*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x5, x5, x0 + adc x3, xzr, x1 + ldr x8, [g+3*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x5, x6, #59 + str x6, [f+2*N] + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x2, x2, x0 + adc x6, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x2, x2, x0 + adc x6, x6, x1 + extr x4, x2, x4, #59 + str x4, [g+2*N] + +// Digit 4 of [f,g] + + ldr x7, [f+4*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x3, x3, x0 + adc x4, xzr, x1 + ldr x8, [g+4*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x3, x3, x0 + adc x4, x4, x1 + extr x5, x3, x5, #59 + str x5, [f+3*N] + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x6, x6, x0 + adc x5, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x6, x6, x0 + adc x5, x5, x1 + extr x2, x6, x2, #59 + str x2, [g+3*N] + +// Digits 5 and 6 of [f,g] + + ldr x7, [f+5*N] + eor x1, x7, s00 + ldr x23, [f+6*N] + eor x2, x23, s00 + and x2, x2, m00 + neg x2, x2 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x4, x4, x0 + adc x2, x2, x1 + ldr x8, [g+5*N] + eor x1, x8, s01 + ldr x24, [g+6*N] + eor x0, x24, s01 + and x0, x0, m01 + sub x2, x2, x0 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x4, x4, x0 + adc x2, x2, x1 + extr x3, x4, x3, #59 + str x3, [f+4*N] + extr x4, x2, x4, #59 + str x4, [f+5*N] + asr x2, x2, #59 + str x2, [f+6*N] + + eor x1, x7, s10 + eor x4, x23, s10 + and x4, x4, m10 + neg x4, x4 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x5, x5, x0 + adc x4, x4, x1 + eor x1, x8, s11 + eor x0, x24, s11 + and x0, x0, m11 + sub x4, x4, x0 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x5, x5, x0 + adc x4, x4, x1 + extr x6, x5, x6, #59 + str x6, [g+4*N] + extr x5, x4, x5, #59 + str x5, [g+5*N] + asr x4, x4, #59 + str x4, [g+6*N] + +// Now the computation of the updated u and v values and their +// Montgomery reductions. A very similar accumulation except that +// the top words of u and v are unsigned and we don't shift. +// +// Digit 0 of [u,v] + + ldr x7, [u] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x4, car0, x0 + adc x2, xzr, x1 + ldr x8, [v] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x4, x4, x0 + str x4, [u] + adc x2, x2, x1 + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x5, car1, x0 + adc x3, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x5, x5, x0 + str x5, [v] + adc x3, x3, x1 + +// Digit 1 of [u,v] + + ldr x7, [u+N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [v+N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x2, x2, x0 + str x2, [u+N] + adc x6, x6, x1 + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x3, x3, x0 + str x3, [v+N] + adc x4, x4, x1 + +// Digit 2 of [u,v] + + ldr x7, [u+2*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [v+2*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x6, x6, x0 + str x6, [u+2*N] + adc x5, x5, x1 + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x4, x4, x0 + str x4, [v+2*N] + adc x2, x2, x1 + +// Digit 3 of [u,v] + + ldr x7, [u+3*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x5, x5, x0 + adc x3, xzr, x1 + ldr x8, [v+3*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x5, x5, x0 + str x5, [u+3*N] + adc x3, x3, x1 + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x2, x2, x0 + adc x6, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x2, x2, x0 + str x2, [v+3*N] + adc x6, x6, x1 + +// Digit 4 of [u,v] + + ldr x7, [u+4*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x3, x3, x0 + adc x4, xzr, x1 + ldr x8, [v+4*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x3, x3, x0 + str x3, [u+4*N] + adc x4, x4, x1 + + eor x1, x7, s10 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x6, x6, x0 + adc x5, xzr, x1 + eor x1, x8, s11 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x6, x6, x0 + str x6, [v+4*N] + adc x5, x5, x1 + +// Digits 5 and 6 of [u,v] (top is unsigned) + + ldr x7, [u+5*N] + eor x1, x7, s00 + and x2, s00, m00 + neg x2, x2 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x4, x4, x0 + adc x2, x2, x1 + ldr x8, [v+5*N] + eor x1, x8, s01 + and x0, s01, m01 + sub x2, x2, x0 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x4, x4, x0 + str x4, [u+5*N] + adc x2, x2, x1 + str x2, [u+6*N] + + eor x1, x7, s10 + and x4, s10, m10 + neg x4, x4 + mul x0, x1, m10 + umulh x1, x1, m10 + adds x5, x5, x0 + adc x4, x4, x1 + eor x1, x8, s11 + and x0, s11, m11 + sub x4, x4, x0 + mul x0, x1, m11 + umulh x1, x1, m11 + adds x5, x5, x0 + str x5, [v+5*N] + adc x4, x4, x1 + str x4, [v+6*N] + +// Montgomery reduction of u + + ldp x0, x1, [u] + ldp x2, x3, [u+16] + ldp x4, x5, [u+32] + ldr x6, [u+48] + amontred(x6,x5,x4,x3,x2,x1,x0, x9,x8,x7) + stp x1, x2, [u] + stp x3, x4, [u+16] + stp x5, x6, [u+32] + +// Montgomery reduction of v + + ldp x0, x1, [v] + ldp x2, x3, [v+16] + ldp x4, x5, [v+32] + ldr x6, [v+48] + amontred(x6,x5,x4,x3,x2,x1,x0, x9,x8,x7) + stp x1, x2, [v] + stp x3, x4, [v+16] + stp x5, x6, [v+32] + +Lbignum_montinv_p384_midloop: + + mov x1, d + ldr x2, [f] + ldr x3, [g] + divstep59() + mov d, x1 + +// Next iteration + + subs i, i, #1 + bne Lbignum_montinv_p384_loop + +// The 15th and last iteration does not need anything except the +// u value and the sign of f; the latter can be obtained from the +// lowest word of f. So it's done differently from the main loop. +// Find the sign of the new f. For this we just need one digit +// since we know (for in-scope cases) that f is either +1 or -1. +// We don't explicitly shift right by 59 either, but looking at +// bit 63 (or any bit >= 60) of the unshifted result is enough +// to distinguish -1 from +1; this is then made into a mask. + + ldr x0, [f] + ldr x1, [g] + mul x0, x0, m00 + madd x1, x1, m01, x0 + asr x0, x1, #63 + +// Now separate out the matrix into sign-magnitude pairs +// and adjust each one based on the sign of f. +// +// Note that at this point we expect |f|=1 and we got its +// sign above, so then since [f,0] == x * 2^{-768} [u,v] (mod p_384) +// we want to flip the sign of u according to that of f. + + cmp m00, xzr + csetm s00, mi + cneg m00, m00, mi + eor s00, s00, x0 + + cmp m01, xzr + csetm s01, mi + cneg m01, m01, mi + eor s01, s01, x0 + + cmp m10, xzr + csetm s10, mi + cneg m10, m10, mi + eor s10, s10, x0 + + cmp m11, xzr + csetm s11, mi + cneg m11, m11, mi + eor s11, s11, x0 + +// Adjust the initial value to allow for complement instead of negation + + and x0, m00, s00 + and x1, m01, s01 + add car0, x0, x1 + +// Digit 0 of [u] + + ldr x7, [u] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x4, car0, x0 + adc x2, xzr, x1 + ldr x8, [v] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x4, x4, x0 + str x4, [u] + adc x2, x2, x1 + +// Digit 1 of [u] + + ldr x7, [u+N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [v+N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x2, x2, x0 + str x2, [u+N] + adc x6, x6, x1 + +// Digit 2 of [u] + + ldr x7, [u+2*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [v+2*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x6, x6, x0 + str x6, [u+2*N] + adc x5, x5, x1 + +// Digit 3 of [u] + + ldr x7, [u+3*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x5, x5, x0 + adc x3, xzr, x1 + ldr x8, [v+3*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x5, x5, x0 + str x5, [u+3*N] + adc x3, x3, x1 + +// Digit 4 of [u] + + ldr x7, [u+4*N] + eor x1, x7, s00 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x3, x3, x0 + adc x4, xzr, x1 + ldr x8, [v+4*N] + eor x1, x8, s01 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x3, x3, x0 + str x3, [u+4*N] + adc x4, x4, x1 + +// Digits 5 and 6 of [u] (top is unsigned) + + ldr x7, [u+5*N] + eor x1, x7, s00 + and x2, s00, m00 + neg x2, x2 + mul x0, x1, m00 + umulh x1, x1, m00 + adds x4, x4, x0 + adc x2, x2, x1 + ldr x8, [v+5*N] + eor x1, x8, s01 + and x0, s01, m01 + sub x2, x2, x0 + mul x0, x1, m01 + umulh x1, x1, m01 + adds x4, x4, x0 + str x4, [u+5*N] + adc x2, x2, x1 + str x2, [u+6*N] + +// Montgomery reduction of u. This needs to be strict not "almost" +// so it is followed by an optional subtraction of p_384 + + ldp x10, x0, [u] + ldp x1, x2, [u+16] + ldp x3, x4, [u+32] + ldr x5, [u+48] + amontred(x5,x4,x3,x2,x1,x0,x10, x9,x8,x7) + + mov x10, #0x00000000ffffffff + subs x10, x0, x10 + mov x11, #0xffffffff00000000 + sbcs x11, x1, x11 + mov x12, #0xfffffffffffffffe + sbcs x12, x2, x12 + mov x15, #0xffffffffffffffff + sbcs x13, x3, x15 + sbcs x14, x4, x15 + sbcs x15, x5, x15 + + csel x0, x0, x10, cc + csel x1, x1, x11, cc + csel x2, x2, x12, cc + csel x3, x3, x13, cc + csel x4, x4, x14, cc + csel x5, x5, x15, cc + +// Store it back to the final output + + stp x0, x1, [res] + stp x2, x3, [res, #16] + stp x4, x5, [res, #32] + +// Restore stack and registers + + CFI_INC_SP(NSPACE) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_montinv_p384) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/arm/bignum_montmul_p384.S b/cbits/s2n/arm/bignum_montmul_p384.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/bignum_montmul_p384.S @@ -0,0 +1,891 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Montgomery multiply, z := (x * y / 2^384) mod p_384 +// Inputs x[6], y[6]; output z[6] +// +// extern void bignum_montmul_p384(uint64_t z[static 6], +// const uint64_t x[static 6], +// const uint64_t y[static 6]); +// +// Does z := (2^{-384} * x * y) mod p_384, assuming that the inputs x and y +// satisfy x * y <= 2^384 * p_384 (in particular this is true if we are in +// the "usual" case x < p_384 and y < p_384). +// +// Standard ARM ABI: X0 = z, X1 = x, X2 = y +// ---------------------------------------------------------------------------- + +// bignum_montmul_p384 is functionally equivalent to +// unopt/bignum_montmul_p384_base. +// It is written in a way that +// 1. A subset of scalar multiplications in bignum_montmul_p384 are carefully +// chosen and vectorized +// 2. The vectorized assembly is rescheduled using the SLOTHY superoptimizer. +// https://github.com/slothy-optimizer/slothy +// +// The output program of step 1. is as follows: +// +// stp x19, x20, [sp, #-16]! +// stp x21, x22, [sp, #-16]! +// stp x23, x24, [sp, #-16]! +// ldp x3, x21, [x1] +// ldr q30, [x1] +// ldp x8, x24, [x1, #16] +// ldp x5, x10, [x1, #32] +// ldp x13, x23, [x2] +// ldr q19, [x2] +// ldp x6, x14, [x2, #16] +// ldp x15, x17, [x2, #32] +// ldr q1, [x1, #32] +// ldr q28, [x2, #32] +// uzp1 v5.4S, v19.4S, v30.4S +// rev64 v19.4S, v19.4S +// uzp1 v0.4S, v30.4S, v30.4S +// mul v21.4S, v19.4S, v30.4S +// uaddlp v19.2D, v21.4S +// shl v19.2D, v19.2D, #32 +// umlal v19.2D, v0.2S, v5.2S +// mov x12, v19.d[0] +// mov x16, v19.d[1] +// mul x20, x8, x6 +// umulh x4, x3, x13 +// umulh x1, x21, x23 +// umulh x2, x8, x6 +// adds x4, x4, x16 +// adcs x19, x1, x20 +// adc x20, x2, xzr +// adds x11, x4, x12 +// adcs x16, x19, x4 +// adcs x1, x20, x19 +// adc x2, x20, xzr +// adds x7, x16, x12 +// adcs x4, x1, x4 +// adcs x9, x2, x19 +// adc x19, x20, xzr +// subs x2, x3, x21 +// cneg x20, x2, cc +// csetm x16, cc +// subs x2, x23, x13 +// cneg x2, x2, cc +// mul x1, x20, x2 +// umulh x2, x20, x2 +// cinv x16, x16, cc +// eor x1, x1, x16 +// eor x2, x2, x16 +// cmn x16, #0x1 +// adcs x11, x11, x1 +// adcs x7, x7, x2 +// adcs x4, x4, x16 +// adcs x9, x9, x16 +// adc x19, x19, x16 +// subs x2, x3, x8 +// cneg x20, x2, cc +// csetm x16, cc +// subs x2, x6, x13 +// cneg x2, x2, cc +// mul x1, x20, x2 +// umulh x2, x20, x2 +// cinv x16, x16, cc +// eor x1, x1, x16 +// eor x2, x2, x16 +// cmn x16, #0x1 +// adcs x7, x7, x1 +// adcs x4, x4, x2 +// adcs x9, x9, x16 +// adc x19, x19, x16 +// subs x2, x21, x8 +// cneg x20, x2, cc +// csetm x16, cc +// subs x2, x6, x23 +// cneg x2, x2, cc +// mul x1, x20, x2 +// umulh x2, x20, x2 +// cinv x16, x16, cc +// eor x1, x1, x16 +// eor x2, x2, x16 +// cmn x16, #0x1 +// adcs x4, x4, x1 +// adcs x20, x9, x2 +// adc x16, x19, x16 +// lsl x2, x12, #32 +// add x19, x2, x12 +// lsr x2, x19, #32 +// subs x1, x2, x19 +// sbc x2, x19, xzr +// extr x1, x2, x1, #32 +// lsr x2, x2, #32 +// adds x12, x2, x19 +// adc x2, xzr, xzr +// subs x1, x11, x1 +// sbcs x7, x7, x12 +// sbcs x4, x4, x2 +// sbcs x20, x20, xzr +// sbcs x16, x16, xzr +// sbc x9, x19, xzr +// lsl x2, x1, #32 +// add x19, x2, x1 +// lsr x2, x19, #32 +// subs x1, x2, x19 +// sbc x2, x19, xzr +// extr x1, x2, x1, #32 +// lsr x2, x2, #32 +// adds x12, x2, x19 +// adc x2, xzr, xzr +// subs x1, x7, x1 +// sbcs x4, x4, x12 +// sbcs x20, x20, x2 +// sbcs x16, x16, xzr +// sbcs x7, x9, xzr +// sbc x9, x19, xzr +// lsl x2, x1, #32 +// add x19, x2, x1 +// lsr x2, x19, #32 +// subs x1, x2, x19 +// sbc x2, x19, xzr +// extr x12, x2, x1, #32 +// lsr x2, x2, #32 +// adds x1, x2, x19 +// adc x2, xzr, xzr +// subs x4, x4, x12 +// sbcs x20, x20, x1 +// sbcs x16, x16, x2 +// sbcs x12, x7, xzr +// sbcs x1, x9, xzr +// sbc x2, x19, xzr +// stp x4, x20, [x0] // @slothy:writes=buffer0 +// stp x16, x12, [x0, #16] // @slothy:writes=buffer16 +// stp x1, x2, [x0, #32] // @slothy:writes=buffer32 +// mul x22, x24, x14 +// movi v31.2D, #0x00000000ffffffff +// uzp2 v16.4S, v28.4S, v28.4S +// xtn v6.2S, v1.2D +// xtn v30.2S, v28.2D +// rev64 v28.4S, v28.4S +// umull v5.2D, v6.2S, v30.2S +// umull v0.2D, v6.2S, v16.2S +// uzp2 v19.4S, v1.4S, v1.4S +// mul v20.4S, v28.4S, v1.4S +// usra v0.2D, v5.2D, #32 +// umull v1.2D, v19.2S, v16.2S +// uaddlp v24.2D, v20.4S +// and v5.16B, v0.16B, v31.16B +// umlal v5.2D, v19.2S, v30.2S +// shl v19.2D, v24.2D, #32 +// usra v1.2D, v0.2D, #32 +// umlal v19.2D, v6.2S, v30.2S +// usra v1.2D, v5.2D, #32 +// mov x20, v19.d[0] +// mov x16, v19.d[1] +// umulh x12, x24, x14 +// mov x1, v1.d[0] +// mov x2, v1.d[1] +// adds x4, x12, x20 +// adcs x20, x1, x16 +// adc x16, x2, xzr +// adds x7, x4, x22 +// adcs x12, x20, x4 +// adcs x1, x16, x20 +// adc x2, x16, xzr +// adds x9, x12, x22 +// adcs x19, x1, x4 +// adcs x4, x2, x20 +// adc x20, x16, xzr +// subs x2, x24, x5 +// cneg x16, x2, cc +// csetm x12, cc +// subs x2, x15, x14 +// cneg x2, x2, cc +// mul x1, x16, x2 +// umulh x2, x16, x2 +// cinv x12, x12, cc +// eor x1, x1, x12 +// eor x2, x2, x12 +// cmn x12, #0x1 +// adcs x11, x7, x1 +// adcs x9, x9, x2 +// adcs x19, x19, x12 +// adcs x4, x4, x12 +// adc x20, x20, x12 +// subs x2, x24, x10 +// cneg x16, x2, cc +// csetm x12, cc +// subs x2, x17, x14 +// cneg x2, x2, cc +// mul x1, x16, x2 +// umulh x2, x16, x2 +// cinv x12, x12, cc +// eor x1, x1, x12 +// eor x2, x2, x12 +// cmn x12, #0x1 +// adcs x7, x9, x1 +// adcs x19, x19, x2 +// adcs x4, x4, x12 +// adc x20, x20, x12 +// subs x2, x5, x10 +// cneg x16, x2, cc +// csetm x12, cc +// subs x2, x17, x15 +// cneg x2, x2, cc +// mul x1, x16, x2 +// umulh x2, x16, x2 +// cinv x16, x12, cc +// eor x1, x1, x16 +// eor x2, x2, x16 +// cmn x16, #0x1 +// adcs x19, x19, x1 +// adcs x12, x4, x2 +// adc x1, x20, x16 +// subs x2, x24, x3 +// sbcs x24, x5, x21 +// sbcs x21, x10, x8 +// ngc x5, xzr +// cmn x5, #0x1 +// eor x2, x2, x5 +// adcs x4, x2, xzr +// eor x2, x24, x5 +// adcs x20, x2, xzr +// eor x2, x21, x5 +// adc x16, x2, xzr +// subs x2, x13, x14 +// sbcs x24, x23, x15 +// sbcs x8, x6, x17 +// ngc x21, xzr +// cmn x21, #0x1 +// eor x2, x2, x21 +// adcs x15, x2, xzr +// eor x2, x24, x21 +// adcs x14, x2, xzr +// eor x2, x8, x21 +// adc x6, x2, xzr +// eor x9, x5, x21 +// ldp x21, x2, [x0] // @slothy:reads=buffer0 +// adds x10, x22, x21 +// adcs x5, x11, x2 +// ldp x21, x2, [x0, #16] // @slothy:reads=buffer16 +// adcs x24, x7, x21 +// adcs x8, x19, x2 +// ldp x21, x2, [x0, #32] // @slothy:reads=buffer32 +// adcs x21, x12, x21 +// adcs x2, x1, x2 +// adc x19, xzr, xzr +// stp x10, x5, [x0] // @slothy:writes=buffer0 +// stp x24, x8, [x0, #16] // @slothy:writes=buffer16 +// stp x21, x2, [x0, #32] // @slothy:writes=buffer32 +// mul x12, x4, x15 +// mul x5, x20, x14 +// mul x24, x16, x6 +// umulh x8, x4, x15 +// umulh x21, x20, x14 +// umulh x2, x16, x6 +// adds x10, x8, x5 +// adcs x5, x21, x24 +// adc x24, x2, xzr +// adds x23, x10, x12 +// adcs x8, x5, x10 +// adcs x21, x24, x5 +// adc x2, x24, xzr +// adds x13, x8, x12 +// adcs x1, x21, x10 +// adcs x10, x2, x5 +// adc x5, x24, xzr +// subs x2, x4, x20 +// cneg x24, x2, cc +// csetm x8, cc +// subs x2, x14, x15 +// cneg x2, x2, cc +// mul x21, x24, x2 +// umulh x2, x24, x2 +// cinv x8, x8, cc +// eor x21, x21, x8 +// eor x2, x2, x8 +// cmn x8, #0x1 +// adcs x23, x23, x21 +// adcs x13, x13, x2 +// adcs x1, x1, x8 +// adcs x10, x10, x8 +// adc x5, x5, x8 +// subs x2, x4, x16 +// cneg x24, x2, cc +// csetm x8, cc +// subs x2, x6, x15 +// cneg x2, x2, cc +// mul x21, x24, x2 +// umulh x2, x24, x2 +// cinv x8, x8, cc +// eor x21, x21, x8 +// eor x2, x2, x8 +// cmn x8, #0x1 +// adcs x4, x13, x21 +// adcs x13, x1, x2 +// adcs x1, x10, x8 +// adc x10, x5, x8 +// subs x2, x20, x16 +// cneg x24, x2, cc +// csetm x8, cc +// subs x2, x6, x14 +// cneg x2, x2, cc +// mul x21, x24, x2 +// umulh x2, x24, x2 +// cinv x5, x8, cc +// eor x21, x21, x5 +// eor x2, x2, x5 +// cmn x5, #0x1 +// adcs x24, x13, x21 +// adcs x8, x1, x2 +// adc x21, x10, x5 +// ldp x20, x16, [x0] // @slothy:reads=buffer0 +// ldp x17, x15, [x0, #16] // @slothy:reads=buffer16 +// ldp x14, x6, [x0, #32] // @slothy:reads=buffer32 +// cmn x9, #0x1 +// eor x2, x12, x9 +// adcs x12, x2, x20 +// eor x2, x23, x9 +// adcs x23, x2, x16 +// eor x2, x4, x9 +// adcs x13, x2, x17 +// eor x2, x24, x9 +// adcs x10, x2, x15 +// eor x2, x8, x9 +// adcs x5, x2, x14 +// eor x2, x21, x9 +// adcs x24, x2, x6 +// adcs x1, x9, x19 +// adcs x8, x9, xzr +// adcs x21, x9, xzr +// adc x2, x9, xzr +// adds x10, x10, x20 +// adcs x5, x5, x16 +// adcs x24, x24, x17 +// adcs x17, x1, x15 +// adcs x15, x8, x14 +// adcs x14, x21, x6 +// adc x6, x2, x19 +// lsl x2, x12, #32 +// add x1, x2, x12 +// lsr x2, x1, #32 +// subs x21, x2, x1 +// sbc x2, x1, xzr +// extr x21, x2, x21, #32 +// lsr x2, x2, #32 +// adds x8, x2, x1 +// adc x2, xzr, xzr +// subs x21, x23, x21 +// sbcs x23, x13, x8 +// sbcs x10, x10, x2 +// sbcs x5, x5, xzr +// sbcs x24, x24, xzr +// sbc x13, x1, xzr +// lsl x2, x21, #32 +// add x1, x2, x21 +// lsr x2, x1, #32 +// subs x21, x2, x1 +// sbc x2, x1, xzr +// extr x21, x2, x21, #32 +// lsr x2, x2, #32 +// adds x8, x2, x1 +// adc x2, xzr, xzr +// subs x21, x23, x21 +// sbcs x10, x10, x8 +// sbcs x5, x5, x2 +// sbcs x24, x24, xzr +// sbcs x23, x13, xzr +// sbc x13, x1, xzr +// lsl x2, x21, #32 +// add x1, x2, x21 +// lsr x2, x1, #32 +// subs x21, x2, x1 +// sbc x2, x1, xzr +// extr x8, x2, x21, #32 +// lsr x2, x2, #32 +// adds x21, x2, x1 +// adc x2, xzr, xzr +// subs x10, x10, x8 +// sbcs x5, x5, x21 +// sbcs x24, x24, x2 +// sbcs x8, x23, xzr +// sbcs x21, x13, xzr +// sbc x2, x1, xzr +// adds x23, x17, x8 +// adcs x13, x15, x21 +// adcs x1, x14, x2 +// adc x2, x6, xzr +// add x8, x2, #0x1 +// lsl x2, x8, #32 +// subs x21, x8, x2 +// sbc x2, x2, xzr +// adds x10, x10, x21 +// adcs x5, x5, x2 +// adcs x24, x24, x8 +// adcs x8, x23, xzr +// adcs x21, x13, xzr +// adcs x13, x1, xzr +// csetm x1, cc +// mov x2, #0xffffffff +// and x2, x2, x1 +// adds x10, x10, x2 +// eor x2, x2, x1 +// adcs x5, x5, x2 +// mov x2, #0xfffffffffffffffe +// and x2, x2, x1 +// adcs x24, x24, x2 +// adcs x8, x8, x1 +// adcs x21, x21, x1 +// adc x2, x13, x1 +// stp x10, x5, [x0] // @slothy:writes=buffer0 +// stp x24, x8, [x0, #16] // @slothy:writes=buffer16 +// stp x21, x2, [x0, #32] // @slothy:writes=buffer32 +// ldp x23, x24, [sp], #16 +// ldp x21, x22, [sp], #16 +// ldp x19, x20, [sp], #16 +// ret +// +// The bash script used for step 2 is as follows: +// +// # Store the assembly instructions except the last 'ret' and +// # callee-register store/loads as, say, 'input.S'. +// export OUTPUTS="[hint_buffer0,hint_buffer16,hint_buffer32]" +// export RESERVED_REGS="[x18,x25,x26,x27,x28,x29,x30,sp,q8,q9,q10,q11,q12,q13,q14,q15,v8,v9,v10,v11,v12,v13,v14,v15]" +// /tools/external/slothy.sh input.S my_out_dir +// # my_out_dir/3.opt.s is the optimized assembly. Its output may differ +// # from this file since the sequence is non-deterministically chosen. +// # Please add 'ret' at the end of the output assembly. + + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_montmul_p384) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_montmul_p384) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_montmul_p384) + .text + .balign 4 + +S2N_BN_SYMBOL(bignum_montmul_p384): + CFI_START + +// Save some registers + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + + ldr q3, [x1] + ldr q25, [x2] + ldp x13, x23, [x2] + ldp x3, x21, [x1] + rev64 v23.4S, v25.4S + uzp1 v17.4S, v25.4S, v3.4S + umulh x15, x3, x13 + mul v6.4S, v23.4S, v3.4S + uzp1 v3.4S, v3.4S, v3.4S + ldr q27, [x2, #32] + ldp x8, x24, [x1, #16] + subs x6, x3, x21 + ldr q0, [x1, #32] + movi v23.2D, #0x00000000ffffffff + csetm x10, cc + umulh x19, x21, x23 + rev64 v4.4S, v27.4S + uzp2 v25.4S, v27.4S, v27.4S + cneg x4, x6, cc + subs x7, x23, x13 + xtn v22.2S, v0.2D + xtn v24.2S, v27.2D + cneg x20, x7, cc + ldp x6, x14, [x2, #16] + mul v27.4S, v4.4S, v0.4S + uaddlp v20.2D, v6.4S + cinv x5, x10, cc + mul x16, x4, x20 + uzp2 v6.4S, v0.4S, v0.4S + umull v21.2D, v22.2S, v25.2S + shl v0.2D, v20.2D, #32 + umlal v0.2D, v3.2S, v17.2S + mul x22, x8, x6 + umull v1.2D, v6.2S, v25.2S + subs x12, x3, x8 + umull v20.2D, v22.2S, v24.2S + cneg x17, x12, cc + umulh x9, x8, x6 + mov x12, v0.d[1] + eor x11, x16, x5 + mov x7, v0.d[0] + csetm x10, cc + usra v21.2D, v20.2D, #32 + adds x15, x15, x12 + adcs x12, x19, x22 + umulh x20, x4, x20 + adc x19, x9, xzr + usra v1.2D, v21.2D, #32 + adds x22, x15, x7 + and v26.16B, v21.16B, v23.16B + adcs x16, x12, x15 + uaddlp v25.2D, v27.4S + adcs x9, x19, x12 + umlal v26.2D, v6.2S, v24.2S + adc x4, x19, xzr + adds x16, x16, x7 + shl v27.2D, v25.2D, #32 + adcs x9, x9, x15 + adcs x4, x4, x12 + eor x12, x20, x5 + adc x15, x19, xzr + subs x20, x6, x13 + cneg x20, x20, cc + cinv x10, x10, cc + cmn x5, #0x1 + mul x19, x17, x20 + adcs x11, x22, x11 + adcs x12, x16, x12 + adcs x9, x9, x5 + umulh x17, x17, x20 + adcs x22, x4, x5 + adc x5, x15, x5 + subs x16, x21, x8 + cneg x20, x16, cc + eor x19, x19, x10 + csetm x4, cc + subs x16, x6, x23 + cneg x16, x16, cc + umlal v27.2D, v22.2S, v24.2S + mul x15, x20, x16 + cinv x4, x4, cc + cmn x10, #0x1 + usra v1.2D, v26.2D, #32 + adcs x19, x12, x19 + eor x17, x17, x10 + adcs x9, x9, x17 + adcs x22, x22, x10 + lsl x12, x7, #32 + umulh x20, x20, x16 + eor x16, x15, x4 + ldp x15, x17, [x2, #32] + add x2, x12, x7 + adc x7, x5, x10 + ldp x5, x10, [x1, #32] + lsr x1, x2, #32 + eor x12, x20, x4 + subs x1, x1, x2 + sbc x20, x2, xzr + cmn x4, #0x1 + adcs x9, x9, x16 + extr x1, x20, x1, #32 + lsr x20, x20, #32 + adcs x22, x22, x12 + adc x16, x7, x4 + adds x12, x20, x2 + umulh x7, x24, x14 + adc x4, xzr, xzr + subs x1, x11, x1 + sbcs x20, x19, x12 + sbcs x12, x9, x4 + lsl x9, x1, #32 + add x1, x9, x1 + sbcs x9, x22, xzr + mul x22, x24, x14 + sbcs x16, x16, xzr + lsr x4, x1, #32 + sbc x19, x2, xzr + subs x4, x4, x1 + sbc x11, x1, xzr + extr x2, x11, x4, #32 + lsr x4, x11, #32 + adds x4, x4, x1 + adc x11, xzr, xzr + subs x2, x20, x2 + sbcs x4, x12, x4 + sbcs x20, x9, x11 + lsl x12, x2, #32 + add x2, x12, x2 + sbcs x9, x16, xzr + lsr x11, x2, #32 + sbcs x19, x19, xzr + sbc x1, x1, xzr + subs x16, x11, x2 + sbc x12, x2, xzr + extr x16, x12, x16, #32 + lsr x12, x12, #32 + adds x11, x12, x2 + adc x12, xzr, xzr + subs x16, x4, x16 + mov x4, v27.d[0] + sbcs x11, x20, x11 + sbcs x20, x9, x12 + stp x16, x11, [x0] + sbcs x11, x19, xzr + sbcs x9, x1, xzr + stp x20, x11, [x0, #16] + mov x1, v1.d[0] + sbc x20, x2, xzr + subs x12, x24, x5 + mov x11, v27.d[1] + cneg x16, x12, cc + csetm x2, cc + subs x19, x15, x14 + mov x12, v1.d[1] + cinv x2, x2, cc + cneg x19, x19, cc + stp x9, x20, [x0, #32] + mul x9, x16, x19 + adds x4, x7, x4 + adcs x11, x1, x11 + adc x1, x12, xzr + adds x20, x4, x22 + umulh x19, x16, x19 + adcs x7, x11, x4 + eor x16, x9, x2 + adcs x9, x1, x11 + adc x12, x1, xzr + adds x7, x7, x22 + adcs x4, x9, x4 + adcs x9, x12, x11 + adc x12, x1, xzr + cmn x2, #0x1 + eor x1, x19, x2 + adcs x11, x20, x16 + adcs x19, x7, x1 + adcs x1, x4, x2 + adcs x20, x9, x2 + adc x2, x12, x2 + subs x12, x24, x10 + cneg x16, x12, cc + csetm x12, cc + subs x9, x17, x14 + cinv x12, x12, cc + cneg x9, x9, cc + subs x3, x24, x3 + sbcs x21, x5, x21 + mul x24, x16, x9 + sbcs x4, x10, x8 + ngc x8, xzr + subs x10, x5, x10 + eor x5, x24, x12 + csetm x7, cc + cneg x24, x10, cc + subs x10, x17, x15 + cinv x7, x7, cc + cneg x10, x10, cc + subs x14, x13, x14 + sbcs x15, x23, x15 + eor x13, x21, x8 + mul x23, x24, x10 + sbcs x17, x6, x17 + eor x6, x3, x8 + ngc x21, xzr + umulh x9, x16, x9 + cmn x8, #0x1 + eor x3, x23, x7 + adcs x23, x6, xzr + adcs x13, x13, xzr + eor x16, x4, x8 + adc x16, x16, xzr + eor x4, x17, x21 + umulh x17, x24, x10 + cmn x21, #0x1 + eor x24, x14, x21 + eor x6, x15, x21 + adcs x15, x24, xzr + adcs x14, x6, xzr + adc x6, x4, xzr + cmn x12, #0x1 + eor x4, x9, x12 + adcs x19, x19, x5 + umulh x5, x23, x15 + adcs x1, x1, x4 + adcs x10, x20, x12 + eor x4, x17, x7 + ldp x20, x9, [x0] + adc x2, x2, x12 + cmn x7, #0x1 + adcs x12, x1, x3 + ldp x17, x24, [x0, #16] + mul x1, x16, x6 + adcs x3, x10, x4 + adc x2, x2, x7 + ldp x7, x4, [x0, #32] + adds x20, x22, x20 + mul x10, x13, x14 + adcs x11, x11, x9 + eor x9, x8, x21 + adcs x21, x19, x17 + stp x20, x11, [x0] + adcs x12, x12, x24 + mul x8, x23, x15 + adcs x3, x3, x7 + stp x21, x12, [x0, #16] + adcs x12, x2, x4 + adc x19, xzr, xzr + subs x21, x23, x16 + umulh x2, x16, x6 + stp x3, x12, [x0, #32] + cneg x3, x21, cc + csetm x24, cc + umulh x11, x13, x14 + subs x21, x13, x16 + eor x7, x8, x9 + cneg x17, x21, cc + csetm x16, cc + subs x21, x6, x15 + cneg x22, x21, cc + cinv x21, x24, cc + subs x20, x23, x13 + umulh x12, x3, x22 + cneg x23, x20, cc + csetm x24, cc + subs x20, x14, x15 + cinv x24, x24, cc + mul x22, x3, x22 + cneg x3, x20, cc + subs x13, x6, x14 + cneg x20, x13, cc + cinv x15, x16, cc + adds x13, x5, x10 + mul x4, x23, x3 + adcs x11, x11, x1 + adc x14, x2, xzr + adds x5, x13, x8 + adcs x16, x11, x13 + umulh x23, x23, x3 + adcs x3, x14, x11 + adc x1, x14, xzr + adds x10, x16, x8 + adcs x6, x3, x13 + adcs x8, x1, x11 + umulh x13, x17, x20 + eor x1, x4, x24 + adc x4, x14, xzr + cmn x24, #0x1 + adcs x1, x5, x1 + eor x16, x23, x24 + eor x11, x1, x9 + adcs x23, x10, x16 + eor x2, x22, x21 + adcs x3, x6, x24 + mul x14, x17, x20 + eor x17, x13, x15 + adcs x13, x8, x24 + adc x8, x4, x24 + cmn x21, #0x1 + adcs x6, x23, x2 + mov x16, #0xfffffffffffffffe + eor x20, x12, x21 + adcs x20, x3, x20 + eor x23, x14, x15 + adcs x2, x13, x21 + adc x8, x8, x21 + cmn x15, #0x1 + ldp x5, x4, [x0] + ldp x21, x12, [x0, #16] + adcs x22, x20, x23 + eor x23, x22, x9 + adcs x17, x2, x17 + adc x22, x8, x15 + cmn x9, #0x1 + adcs x15, x7, x5 + ldp x10, x14, [x0, #32] + eor x1, x6, x9 + lsl x2, x15, #32 + adcs x8, x11, x4 + adcs x13, x1, x21 + eor x1, x22, x9 + adcs x24, x23, x12 + eor x11, x17, x9 + adcs x23, x11, x10 + adcs x7, x1, x14 + adcs x17, x9, x19 + adcs x20, x9, xzr + add x1, x2, x15 + lsr x3, x1, #32 + adcs x11, x9, xzr + adc x9, x9, xzr + subs x3, x3, x1 + sbc x6, x1, xzr + adds x24, x24, x5 + adcs x4, x23, x4 + extr x3, x6, x3, #32 + lsr x6, x6, #32 + adcs x21, x7, x21 + adcs x15, x17, x12 + adcs x7, x20, x10 + adcs x20, x11, x14 + mov x14, #0xffffffff + adc x22, x9, x19 + adds x12, x6, x1 + adc x10, xzr, xzr + subs x3, x8, x3 + sbcs x12, x13, x12 + lsl x9, x3, #32 + add x3, x9, x3 + sbcs x10, x24, x10 + sbcs x24, x4, xzr + lsr x9, x3, #32 + sbcs x21, x21, xzr + sbc x1, x1, xzr + subs x9, x9, x3 + sbc x13, x3, xzr + extr x9, x13, x9, #32 + lsr x13, x13, #32 + adds x13, x13, x3 + adc x6, xzr, xzr + subs x12, x12, x9 + sbcs x17, x10, x13 + lsl x2, x12, #32 + sbcs x10, x24, x6 + add x9, x2, x12 + sbcs x6, x21, xzr + lsr x5, x9, #32 + sbcs x21, x1, xzr + sbc x13, x3, xzr + subs x8, x5, x9 + sbc x19, x9, xzr + lsr x12, x19, #32 + extr x3, x19, x8, #32 + adds x8, x12, x9 + adc x1, xzr, xzr + subs x2, x17, x3 + sbcs x12, x10, x8 + sbcs x5, x6, x1 + sbcs x3, x21, xzr + sbcs x19, x13, xzr + sbc x24, x9, xzr + adds x23, x15, x3 + adcs x8, x7, x19 + adcs x11, x20, x24 + adc x9, x22, xzr + add x24, x9, #0x1 + lsl x7, x24, #32 + subs x21, x24, x7 + sbc x10, x7, xzr + adds x6, x2, x21 + adcs x7, x12, x10 + adcs x24, x5, x24 + adcs x13, x23, xzr + adcs x8, x8, xzr + adcs x15, x11, xzr + csetm x23, cc + and x11, x16, x23 + and x20, x14, x23 + adds x22, x6, x20 + eor x3, x20, x23 + adcs x5, x7, x3 + adcs x14, x24, x11 + stp x22, x5, [x0] + adcs x5, x13, x23 + adcs x21, x8, x23 + stp x14, x5, [x0, #16] + adc x12, x15, x23 + stp x21, x12, [x0, #32] + +// Restore registers and return + + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_montmul_p384) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/arm/bignum_montmul_p384_alt.S b/cbits/s2n/arm/bignum_montmul_p384_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/bignum_montmul_p384_alt.S @@ -0,0 +1,345 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Montgomery multiply, z := (x * y / 2^384) mod p_384 +// Inputs x[6], y[6]; output z[6] +// +// extern void bignum_montmul_p384_alt(uint64_t z[static 6], +// const uint64_t x[static 6], +// const uint64_t y[static 6]); +// +// Does z := (2^{-384} * x * y) mod p_384, assuming that the inputs x and y +// satisfy x * y <= 2^384 * p_384 (in particular this is true if we are in +// the "usual" case x < p_384 and y < p_384). +// +// Standard ARM ABI: X0 = z, X1 = x, X2 = y +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_montmul_p384_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_montmul_p384_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_montmul_p384_alt) + .text + .balign 4 + +// --------------------------------------------------------------------------- +// Core one-step "short" Montgomery reduction macro. Takes input in +// [d5;d4;d3;d2;d1;d0] and returns result in [d6;d5;d4;d3;d2;d1], +// adding to the existing contents of [d5;d4;d3;d2;d1]. It is fine +// for d6 to be the same register as d0. +// +// We want to add (2^384 - 2^128 - 2^96 + 2^32 - 1) * w +// where w = [d0 + (d0<<32)] mod 2^64 +// --------------------------------------------------------------------------- + +#define montreds(d6,d5,d4,d3,d2,d1,d0, t3,t2,t1) \ +/* Our correction multiplier is w = [d0 + (d0<<32)] mod 2^64 */ \ +/* Store it in d6 to make the 2^384 * w contribution already */ \ + lsl t1, d0, #32 __LF \ + add d6, t1, d0 __LF \ +/* Now let [t3;t2;t1;-] = (2^384 - p_384) * w */ \ +/* We know the lowest word will cancel d0 so we don't need it */ \ + mov t1, #0xffffffff00000001 __LF \ + umulh t1, t1, d6 __LF \ + mov t2, #0x00000000ffffffff __LF \ + mul t3, t2, d6 __LF \ + umulh t2, t2, d6 __LF \ + adds t1, t1, t3 __LF \ + adcs t2, t2, d6 __LF \ + adc t3, xzr, xzr __LF \ +/* Now add it, by subtracting from 2^384 * w + x */ \ + subs d1, d1, t1 __LF \ + sbcs d2, d2, t2 __LF \ + sbcs d3, d3, t3 __LF \ + sbcs d4, d4, xzr __LF \ + sbcs d5, d5, xzr __LF \ + sbc d6, d6, xzr + + +#define z x0 +#define x x1 +#define y x2 + +// These are repeated mod 2 as we load pairs of inputs + +#define a0 x3 +#define a1 x4 +#define a2 x3 +#define a3 x4 +#define a4 x3 +#define a5 x4 + +#define b0 x5 +#define b1 x6 +#define b2 x7 +#define b3 x8 +#define b4 x9 +#define b5 x10 + +#define l x11 + +#define u0 x12 +#define u1 x13 +#define u2 x14 +#define u3 x15 +#define u4 x16 +#define u5 x17 +#define u6 x19 +#define u7 x20 +#define u8 x21 +#define u9 x22 +#define u10 x2 // same as y +#define u11 x1 // same as x +#define h b5 // same as b5 + +S2N_BN_SYMBOL(bignum_montmul_p384_alt): + CFI_START + +// Save more registers + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + +// Load operands and set up row 0 = [u6;...;u0] = a0 * [b5;...;b0] + + ldp a0, a1, [x] + ldp b0, b1, [y] + + mul u0, a0, b0 + umulh u1, a0, b0 + mul l, a0, b1 + umulh u2, a0, b1 + adds u1, u1, l + + ldp b2, b3, [y, #16] + + mul l, a0, b2 + umulh u3, a0, b2 + adcs u2, u2, l + + mul l, a0, b3 + umulh u4, a0, b3 + adcs u3, u3, l + + ldp b4, b5, [y, #32] + + mul l, a0, b4 + umulh u5, a0, b4 + adcs u4, u4, l + + mul l, a0, b5 + umulh u6, a0, b5 + adcs u5, u5, l + + adc u6, u6, xzr + +// Row 1 = [u7;...;u0] = [a1;a0] * [b5;...;b0] + + mul l, a1, b0 + adds u1, u1, l + mul l, a1, b1 + adcs u2, u2, l + mul l, a1, b2 + adcs u3, u3, l + mul l, a1, b3 + adcs u4, u4, l + mul l, a1, b4 + adcs u5, u5, l + mul l, a1, b5 + adcs u6, u6, l + cset u7, cs + + umulh l, a1, b0 + adds u2, u2, l + umulh l, a1, b1 + adcs u3, u3, l + umulh l, a1, b2 + adcs u4, u4, l + umulh l, a1, b3 + adcs u5, u5, l + umulh l, a1, b4 + adcs u6, u6, l + umulh l, a1, b5 + adc u7, u7, l + +// Row 2 = [u8;...;u0] = [a2;a1;a0] * [b5;...;b0] + + ldp a2, a3, [x, #16] + + mul l, a2, b0 + adds u2, u2, l + mul l, a2, b1 + adcs u3, u3, l + mul l, a2, b2 + adcs u4, u4, l + mul l, a2, b3 + adcs u5, u5, l + mul l, a2, b4 + adcs u6, u6, l + mul l, a2, b5 + adcs u7, u7, l + cset u8, cs + + umulh l, a2, b0 + adds u3, u3, l + umulh l, a2, b1 + adcs u4, u4, l + umulh l, a2, b2 + adcs u5, u5, l + umulh l, a2, b3 + adcs u6, u6, l + umulh l, a2, b4 + adcs u7, u7, l + umulh l, a2, b5 + adc u8, u8, l + +// Row 3 = [u9;...;u0] = [a3;a2;a1;a0] * [b5;...;b0] + + mul l, a3, b0 + adds u3, u3, l + mul l, a3, b1 + adcs u4, u4, l + mul l, a3, b2 + adcs u5, u5, l + mul l, a3, b3 + adcs u6, u6, l + mul l, a3, b4 + adcs u7, u7, l + mul l, a3, b5 + adcs u8, u8, l + cset u9, cs + + umulh l, a3, b0 + adds u4, u4, l + umulh l, a3, b1 + adcs u5, u5, l + umulh l, a3, b2 + adcs u6, u6, l + umulh l, a3, b3 + adcs u7, u7, l + umulh l, a3, b4 + adcs u8, u8, l + umulh l, a3, b5 + adc u9, u9, l + +// Row 4 = [u10;...;u0] = [a4;a3;a2;a1;a0] * [b5;...;b0] + + ldp a4, a5, [x, #32] + + mul l, a4, b0 + adds u4, u4, l + mul l, a4, b1 + adcs u5, u5, l + mul l, a4, b2 + adcs u6, u6, l + mul l, a4, b3 + adcs u7, u7, l + mul l, a4, b4 + adcs u8, u8, l + mul l, a4, b5 + adcs u9, u9, l + cset u10, cs + + umulh l, a4, b0 + adds u5, u5, l + umulh l, a4, b1 + adcs u6, u6, l + umulh l, a4, b2 + adcs u7, u7, l + umulh l, a4, b3 + adcs u8, u8, l + umulh l, a4, b4 + adcs u9, u9, l + umulh l, a4, b5 + adc u10, u10, l + +// Row 5 = [u11;...;u0] = [a5;a4;a3;a2;a1;a0] * [b5;...;b0] + + mul l, a5, b0 + adds u5, u5, l + mul l, a5, b1 + adcs u6, u6, l + mul l, a5, b2 + adcs u7, u7, l + mul l, a5, b3 + adcs u8, u8, l + mul l, a5, b4 + adcs u9, u9, l + mul l, a5, b5 + adcs u10, u10, l + cset u11, cs + + umulh l, a5, b0 + adds u6, u6, l + umulh l, a5, b1 + adcs u7, u7, l + umulh l, a5, b2 + adcs u8, u8, l + umulh l, a5, b3 + adcs u9, u9, l + umulh l, a5, b4 + adcs u10, u10, l + umulh l, a5, b5 + adc u11, u11, l + +// Montgomery rotate the low half + + montreds(u0,u5,u4,u3,u2,u1,u0, b0,b1,b2) + montreds(u1,u0,u5,u4,u3,u2,u1, b0,b1,b2) + montreds(u2,u1,u0,u5,u4,u3,u2, b0,b1,b2) + montreds(u3,u2,u1,u0,u5,u4,u3, b0,b1,b2) + montreds(u4,u3,u2,u1,u0,u5,u4, b0,b1,b2) + montreds(u5,u4,u3,u2,u1,u0,u5, b0,b1,b2) + +// Add up the high and low parts as [h; u5;u4;u3;u2;u1;u0] = z + + adds u0, u0, u6 + adcs u1, u1, u7 + adcs u2, u2, u8 + adcs u3, u3, u9 + adcs u4, u4, u10 + adcs u5, u5, u11 + adc h, xzr, xzr + +// Now add [h; u11;u10;u9;u8;u7;u6] = z + (2^384 - p_384) + + mov l, #0xffffffff00000001 + adds u6, u0, l + mov l, #0x00000000ffffffff + adcs u7, u1, l + mov l, #0x0000000000000001 + adcs u8, u2, l + adcs u9, u3, xzr + adcs u10, u4, xzr + adcs u11, u5, xzr + adcs h, h, xzr + +// Now z >= p_384 iff h is nonzero, so select accordingly + + csel u0, u0, u6, eq + csel u1, u1, u7, eq + csel u2, u2, u8, eq + csel u3, u3, u9, eq + csel u4, u4, u10, eq + csel u5, u5, u11, eq + +// Store back final result + + stp u0, u1, [z] + stp u2, u3, [z, #16] + stp u4, u5, [z, #32] + +// Restore registers + + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_montmul_p384_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/arm/bignum_montsqr_p384.S b/cbits/s2n/arm/bignum_montsqr_p384.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/bignum_montsqr_p384.S @@ -0,0 +1,671 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Montgomery square, z := (x^2 / 2^384) mod p_384 +// Input x[6]; output z[6] +// +// extern void bignum_montsqr_p384(uint64_t z[static 6], +// const uint64_t x[static 6]); +// +// Does z := (x^2 / 2^384) mod p_384, assuming x^2 <= 2^384 * p_384, which is +// guaranteed in particular if x < p_384 initially (the "intended" case). +// +// Standard ARM ABI: X0 = z, X1 = x +// ---------------------------------------------------------------------------- + +// bignum_montsqr_p384 is functionally equivalent to +// unopt/bignum_montsqr_p384_base. +// It is written in a way that +// 1. A subset of scalar multiplications in bignum_montsqr_p384 are carefully +// chosen and vectorized +// 2. The vectorized assembly is rescheduled using the SLOTHY superoptimizer. +// https://github.com/slothy-optimizer/slothy +// +// The output program of step 1. is as follows: +// +// ldp x9, x2, [x1] +// ldr q18, [x1] +// ldr q19, [x1] +// ldp x4, x6, [x1, #16] +// ldp x5, x10, [x1, #32] +// ldr q21, [x1, #32] +// ldr q28, [x1, #32] +// mul x12, x9, x2 +// mul x1, x9, x4 +// mul x13, x2, x4 +// movi v0.2D, #0x00000000ffffffff +// uzp2 v5.4S, v19.4S, v19.4S +// xtn v25.2S, v18.2D +// xtn v4.2S, v19.2D +// rev64 v23.4S, v19.4S +// umull v20.2D, v25.2S, v4.2S +// umull v30.2D, v25.2S, v5.2S +// uzp2 v19.4S, v18.4S, v18.4S +// mul v22.4S, v23.4S, v18.4S +// usra v30.2D, v20.2D, #32 +// umull v18.2D, v19.2S, v5.2S +// uaddlp v22.2D, v22.4S +// and v20.16B, v30.16B, v0.16B +// umlal v20.2D, v19.2S, v4.2S +// shl v19.2D, v22.2D, #32 +// usra v18.2D, v30.2D, #32 +// umlal v19.2D, v25.2S, v4.2S +// usra v18.2D, v20.2D, #32 +// mov x7, v19.d[0] +// mov x17, v19.d[1] +// mul x16, x4, x4 +// umulh x3, x9, x2 +// adds x15, x1, x3 +// umulh x1, x9, x4 +// adcs x13, x13, x1 +// umulh x1, x2, x4 +// adcs x8, x1, xzr +// mov x11, v18.d[0] +// mov x14, v18.d[1] +// umulh x1, x4, x4 +// adds x3, x12, x12 +// adcs x15, x15, x15 +// adcs x13, x13, x13 +// adcs x12, x8, x8 +// adc x1, x1, xzr +// adds x11, x11, x3 +// adcs x3, x17, x15 +// adcs x17, x14, x13 +// adcs x15, x16, x12 +// adc x13, x1, xzr +// lsl x1, x7, #32 +// add x16, x1, x7 +// lsr x1, x16, #32 +// subs x12, x1, x16 +// sbc x1, x16, xzr +// extr x12, x1, x12, #32 +// lsr x1, x1, #32 +// adds x7, x1, x16 +// adc x1, xzr, xzr +// subs x12, x11, x12 +// sbcs x11, x3, x7 +// sbcs x17, x17, x1 +// sbcs x15, x15, xzr +// sbcs x13, x13, xzr +// sbc x3, x16, xzr +// lsl x1, x12, #32 +// add x16, x1, x12 +// lsr x1, x16, #32 +// subs x12, x1, x16 +// sbc x1, x16, xzr +// extr x12, x1, x12, #32 +// lsr x1, x1, #32 +// adds x7, x1, x16 +// adc x1, xzr, xzr +// subs x12, x11, x12 +// sbcs x17, x17, x7 +// sbcs x15, x15, x1 +// sbcs x13, x13, xzr +// sbcs x11, x3, xzr +// sbc x3, x16, xzr +// lsl x1, x12, #32 +// add x16, x1, x12 +// lsr x1, x16, #32 +// subs x12, x1, x16 +// sbc x1, x16, xzr +// extr x7, x1, x12, #32 +// lsr x1, x1, #32 +// adds x12, x1, x16 +// adc x1, xzr, xzr +// subs x17, x17, x7 +// sbcs x15, x15, x12 +// sbcs x13, x13, x1 +// sbcs x7, x11, xzr +// sbcs x12, x3, xzr +// sbc x1, x16, xzr +// stp x17, x15, [x0] // @slothy:writes=buffer0 +// stp x13, x7, [x0, #16] // @slothy:writes=buffer16 +// stp x12, x1, [x0, #32] // @slothy:writes=buffer32 +// mul x14, x9, x6 +// mul x15, x2, x5 +// mul x13, x4, x10 +// umulh x7, x9, x6 +// umulh x12, x2, x5 +// umulh x1, x4, x10 +// adds x15, x7, x15 +// adcs x16, x12, x13 +// adc x13, x1, xzr +// adds x11, x15, x14 +// adcs x7, x16, x15 +// adcs x12, x13, x16 +// adc x1, x13, xzr +// adds x17, x7, x14 +// adcs x15, x12, x15 +// adcs x3, x1, x16 +// adc x16, x13, xzr +// subs x1, x9, x2 +// cneg x13, x1, cc +// csetm x7, cc +// subs x1, x5, x6 +// cneg x1, x1, cc +// mul x12, x13, x1 +// umulh x1, x13, x1 +// cinv x7, x7, cc +// eor x12, x12, x7 +// eor x1, x1, x7 +// cmn x7, #0x1 +// adcs x11, x11, x12 +// adcs x17, x17, x1 +// adcs x15, x15, x7 +// adcs x3, x3, x7 +// adc x16, x16, x7 +// subs x9, x9, x4 +// cneg x13, x9, cc +// csetm x7, cc +// subs x1, x10, x6 +// cneg x1, x1, cc +// mul x12, x13, x1 +// umulh x1, x13, x1 +// cinv x7, x7, cc +// eor x12, x12, x7 +// eor x1, x1, x7 +// cmn x7, #0x1 +// adcs x17, x17, x12 +// adcs x15, x15, x1 +// adcs x13, x3, x7 +// adc x7, x16, x7 +// subs x2, x2, x4 +// cneg x12, x2, cc +// csetm x1, cc +// subs x2, x10, x5 +// cneg x2, x2, cc +// mul x4, x12, x2 +// umulh x2, x12, x2 +// cinv x1, x1, cc +// eor x4, x4, x1 +// eor x2, x2, x1 +// cmn x1, #0x1 +// adcs x12, x15, x4 +// adcs x4, x13, x2 +// adc x2, x7, x1 +// adds x1, x14, x14 +// adcs x16, x11, x11 +// adcs x17, x17, x17 +// adcs x15, x12, x12 +// adcs x13, x4, x4 +// adcs x7, x2, x2 +// adc x12, xzr, xzr +// ldp x4, x2, [x0] // @slothy:reads=buffer0 +// adds x1, x1, x4 +// adcs x16, x16, x2 +// ldp x4, x2, [x0, #16] // @slothy:reads=buffer16 +// adcs x17, x17, x4 +// adcs x15, x15, x2 +// ldp x4, x2, [x0, #32] // @slothy:reads=buffer32 +// adcs x13, x13, x4 +// adcs x7, x7, x2 +// adc x11, x12, xzr +// lsl x2, x1, #32 +// add x12, x2, x1 +// lsr x2, x12, #32 +// subs x4, x2, x12 +// sbc x2, x12, xzr +// extr x4, x2, x4, #32 +// lsr x2, x2, #32 +// adds x1, x2, x12 +// adc x2, xzr, xzr +// subs x4, x16, x4 +// sbcs x16, x17, x1 +// sbcs x17, x15, x2 +// sbcs x15, x13, xzr +// sbcs x13, x7, xzr +// sbc x7, x12, xzr +// lsl x2, x4, #32 +// add x12, x2, x4 +// lsr x2, x12, #32 +// subs x4, x2, x12 +// sbc x2, x12, xzr +// extr x4, x2, x4, #32 +// lsr x2, x2, #32 +// adds x1, x2, x12 +// adc x2, xzr, xzr +// subs x4, x16, x4 +// sbcs x16, x17, x1 +// sbcs x17, x15, x2 +// sbcs x15, x13, xzr +// sbcs x13, x7, xzr +// sbc x7, x12, xzr +// lsl x2, x4, #32 +// add x12, x2, x4 +// lsr x2, x12, #32 +// subs x4, x2, x12 +// sbc x2, x12, xzr +// extr x1, x2, x4, #32 +// lsr x2, x2, #32 +// adds x4, x2, x12 +// adc x2, xzr, xzr +// subs x3, x16, x1 +// sbcs x17, x17, x4 +// sbcs x15, x15, x2 +// sbcs x1, x13, xzr +// sbcs x4, x7, xzr +// sbc x2, x12, xzr +// adds x13, x11, x1 +// adcs x7, x4, xzr +// adcs x12, x2, xzr +// adcs x16, xzr, xzr +// mul x2, x6, x6 +// adds x3, x3, x2 +// xtn v30.2S, v28.2D +// shrn v26.2S, v28.2D, #32 +// umull v26.2D, v30.2S, v26.2S +// shl v19.2D, v26.2D, #33 +// umlal v19.2D, v30.2S, v30.2S +// mov x1, v19.d[0] +// mov x4, v19.d[1] +// umulh x2, x6, x6 +// adcs x17, x17, x2 +// umulh x2, x5, x5 +// adcs x15, x15, x1 +// adcs x13, x13, x2 +// umulh x2, x10, x10 +// adcs x7, x7, x4 +// adcs x12, x12, x2 +// adc x16, x16, xzr +// dup v28.2D, x6 +// movi v0.2D, #0x00000000ffffffff +// uzp2 v5.4S, v21.4S, v21.4S +// xtn v25.2S, v28.2D +// xtn v4.2S, v21.2D +// rev64 v19.4S, v21.4S +// umull v30.2D, v25.2S, v4.2S +// umull v23.2D, v25.2S, v5.2S +// uzp2 v20.4S, v28.4S, v28.4S +// mul v19.4S, v19.4S, v28.4S +// usra v23.2D, v30.2D, #32 +// umull v18.2D, v20.2S, v5.2S +// uaddlp v19.2D, v19.4S +// and v30.16B, v23.16B, v0.16B +// umlal v30.2D, v20.2S, v4.2S +// shl v19.2D, v19.2D, #32 +// usra v18.2D, v23.2D, #32 +// umlal v19.2D, v25.2S, v4.2S +// usra v18.2D, v30.2D, #32 +// mov x6, v19.d[0] +// mov x1, v19.d[1] +// mul x4, x5, x10 +// mov x2, v18.d[0] +// adds x1, x1, x2 +// mov x2, v18.d[1] +// adcs x4, x4, x2 +// umulh x5, x5, x10 +// adc x2, x5, xzr +// adds x5, x6, x6 +// adcs x6, x1, x1 +// adcs x1, x4, x4 +// adcs x4, x2, x2 +// adc x2, xzr, xzr +// adds x17, x17, x5 +// adcs x15, x15, x6 +// adcs x13, x13, x1 +// adcs x7, x7, x4 +// adcs x12, x12, x2 +// adc x2, x16, xzr +// mov x5, #0xffffffff00000001 +// mov x6, #0xffffffff +// mov x1, #0x1 +// cmn x3, x5 +// adcs xzr, x17, x6 +// adcs xzr, x15, x1 +// adcs xzr, x13, xzr +// adcs xzr, x7, xzr +// adcs xzr, x12, xzr +// adc x2, x2, xzr +// neg x4, x2 +// and x2, x5, x4 +// adds x10, x3, x2 +// and x2, x6, x4 +// adcs x5, x17, x2 +// and x2, x1, x4 +// adcs x6, x15, x2 +// adcs x1, x13, xzr +// adcs x4, x7, xzr +// adc x2, x12, xzr +// stp x10, x5, [x0] // @slothy:writes=buffer0 +// stp x6, x1, [x0, #16] // @slothy:writes=buffer16 +// stp x4, x2, [x0, #32] // @slothy:writes=buffer32 +// ret +// +// The bash script used for step 2 is as follows: +// +// # Store the assembly instructions except the last 'ret' as, say, 'input.S'. +// export OUTPUTS="[hint_buffer0,hint_buffer16,hint_buffer32]" +// export RESERVED_REGS="[x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,sp,q8,q9,q10,q11,q12,q13,q14,q15,v8,v9,v10,v11,v12,v13,v14,v15]" +// /tools/external/slothy.sh input.S my_out_dir +// # my_out_dir/3.opt.s is the optimized assembly. Its output may differ +// # from this file since the sequence is non-deterministically chosen. +// # Please add 'ret' at the end of the output assembly. + + + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_montsqr_p384) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_montsqr_p384) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_montsqr_p384) + .text + .balign 4 + +S2N_BN_SYMBOL(bignum_montsqr_p384): + CFI_START + + ldr q1, [x1] + ldp x9, x2, [x1] + ldr q0, [x1] + ldp x4, x6, [x1, #16] + rev64 v21.4S, v1.4S + uzp2 v28.4S, v1.4S, v1.4S + umulh x7, x9, x2 + xtn v17.2S, v1.2D + mul v27.4S, v21.4S, v0.4S + ldr q20, [x1, #32] + xtn v30.2S, v0.2D + ldr q1, [x1, #32] + uzp2 v31.4S, v0.4S, v0.4S + ldp x5, x10, [x1, #32] + umulh x8, x9, x4 + uaddlp v3.2D, v27.4S + umull v16.2D, v30.2S, v17.2S + mul x16, x9, x4 + umull v27.2D, v30.2S, v28.2S + shrn v0.2S, v20.2D, #32 + xtn v7.2S, v20.2D + shl v20.2D, v3.2D, #32 + umull v3.2D, v31.2S, v28.2S + mul x3, x2, x4 + umlal v20.2D, v30.2S, v17.2S + umull v22.2D, v7.2S, v0.2S + usra v27.2D, v16.2D, #32 + umulh x11, x2, x4 + movi v21.2D, #0x00000000ffffffff + uzp2 v28.4S, v1.4S, v1.4S + adds x15, x16, x7 + and v5.16B, v27.16B, v21.16B + adcs x3, x3, x8 + usra v3.2D, v27.2D, #32 + dup v29.2D, x6 + adcs x16, x11, xzr + mov x14, v20.d[0] + umlal v5.2D, v31.2S, v17.2S + mul x8, x9, x2 + mov x7, v20.d[1] + shl v19.2D, v22.2D, #33 + xtn v25.2S, v29.2D + rev64 v31.4S, v1.4S + lsl x13, x14, #32 + uzp2 v6.4S, v29.4S, v29.4S + umlal v19.2D, v7.2S, v7.2S + usra v3.2D, v5.2D, #32 + adds x1, x8, x8 + umulh x8, x4, x4 + add x12, x13, x14 + mul v17.4S, v31.4S, v29.4S + xtn v4.2S, v1.2D + adcs x14, x15, x15 + lsr x13, x12, #32 + adcs x15, x3, x3 + umull v31.2D, v25.2S, v28.2S + adcs x11, x16, x16 + umull v21.2D, v25.2S, v4.2S + mov x17, v3.d[0] + umull v18.2D, v6.2S, v28.2S + adc x16, x8, xzr + uaddlp v16.2D, v17.4S + movi v1.2D, #0x00000000ffffffff + subs x13, x13, x12 + usra v31.2D, v21.2D, #32 + sbc x8, x12, xzr + adds x17, x17, x1 + mul x1, x4, x4 + shl v28.2D, v16.2D, #32 + mov x3, v3.d[1] + adcs x14, x7, x14 + extr x7, x8, x13, #32 + adcs x13, x3, x15 + and v3.16B, v31.16B, v1.16B + adcs x11, x1, x11 + lsr x1, x8, #32 + umlal v3.2D, v6.2S, v4.2S + usra v18.2D, v31.2D, #32 + adc x3, x16, xzr + adds x1, x1, x12 + umlal v28.2D, v25.2S, v4.2S + adc x16, xzr, xzr + subs x15, x17, x7 + sbcs x7, x14, x1 + lsl x1, x15, #32 + sbcs x16, x13, x16 + add x8, x1, x15 + usra v18.2D, v3.2D, #32 + sbcs x14, x11, xzr + lsr x1, x8, #32 + sbcs x17, x3, xzr + sbc x11, x12, xzr + subs x13, x1, x8 + umulh x12, x4, x10 + sbc x1, x8, xzr + extr x13, x1, x13, #32 + lsr x1, x1, #32 + adds x15, x1, x8 + adc x1, xzr, xzr + subs x7, x7, x13 + sbcs x13, x16, x15 + lsl x3, x7, #32 + umulh x16, x2, x5 + sbcs x15, x14, x1 + add x7, x3, x7 + sbcs x3, x17, xzr + lsr x1, x7, #32 + sbcs x14, x11, xzr + sbc x11, x8, xzr + subs x8, x1, x7 + sbc x1, x7, xzr + extr x8, x1, x8, #32 + lsr x1, x1, #32 + adds x1, x1, x7 + adc x17, xzr, xzr + subs x13, x13, x8 + umulh x8, x9, x6 + sbcs x1, x15, x1 + sbcs x15, x3, x17 + sbcs x3, x14, xzr + mul x17, x2, x5 + sbcs x11, x11, xzr + stp x13, x1, [x0] // @slothy:writes=buffer0 + sbc x14, x7, xzr + mul x7, x4, x10 + subs x1, x9, x2 + stp x15, x3, [x0, #16] // @slothy:writes=buffer16 + csetm x15, cc + cneg x1, x1, cc + stp x11, x14, [x0, #32] // @slothy:writes=buffer32 + mul x14, x9, x6 + adds x17, x8, x17 + adcs x7, x16, x7 + adc x13, x12, xzr + subs x12, x5, x6 + cneg x3, x12, cc + cinv x16, x15, cc + mul x8, x1, x3 + umulh x1, x1, x3 + eor x12, x8, x16 + adds x11, x17, x14 + adcs x3, x7, x17 + adcs x15, x13, x7 + adc x8, x13, xzr + adds x3, x3, x14 + adcs x15, x15, x17 + adcs x17, x8, x7 + eor x1, x1, x16 + adc x13, x13, xzr + subs x9, x9, x4 + csetm x8, cc + cneg x9, x9, cc + subs x4, x2, x4 + cneg x4, x4, cc + csetm x7, cc + subs x2, x10, x6 + cinv x8, x8, cc + cneg x2, x2, cc + cmn x16, #0x1 + adcs x11, x11, x12 + mul x12, x9, x2 + adcs x3, x3, x1 + adcs x15, x15, x16 + umulh x9, x9, x2 + adcs x17, x17, x16 + adc x13, x13, x16 + subs x1, x10, x5 + cinv x2, x7, cc + cneg x1, x1, cc + eor x9, x9, x8 + cmn x8, #0x1 + eor x7, x12, x8 + mul x12, x4, x1 + adcs x3, x3, x7 + adcs x7, x15, x9 + adcs x15, x17, x8 + ldp x9, x17, [x0, #16] // @slothy:reads=buffer16 + umulh x4, x4, x1 + adc x8, x13, x8 + cmn x2, #0x1 + eor x1, x12, x2 + adcs x1, x7, x1 + ldp x7, x16, [x0] // @slothy:reads=buffer0 + eor x12, x4, x2 + adcs x4, x15, x12 + ldp x15, x12, [x0, #32] // @slothy:reads=buffer32 + adc x8, x8, x2 + adds x13, x14, x14 + umulh x14, x5, x10 + adcs x2, x11, x11 + adcs x3, x3, x3 + adcs x1, x1, x1 + adcs x4, x4, x4 + adcs x11, x8, x8 + adc x8, xzr, xzr + adds x13, x13, x7 + adcs x2, x2, x16 + mul x16, x5, x10 + adcs x3, x3, x9 + adcs x1, x1, x17 + umulh x5, x5, x5 + lsl x9, x13, #32 + add x9, x9, x13 + adcs x4, x4, x15 + mov x13, v28.d[1] + adcs x15, x11, x12 + lsr x7, x9, #32 + adc x11, x8, xzr + subs x7, x7, x9 + umulh x10, x10, x10 + sbc x17, x9, xzr + extr x7, x17, x7, #32 + lsr x17, x17, #32 + adds x17, x17, x9 + adc x12, xzr, xzr + subs x8, x2, x7 + sbcs x17, x3, x17 + lsl x7, x8, #32 + sbcs x2, x1, x12 + add x3, x7, x8 + sbcs x12, x4, xzr + lsr x1, x3, #32 + sbcs x7, x15, xzr + sbc x15, x9, xzr + subs x1, x1, x3 + sbc x4, x3, xzr + lsr x9, x4, #32 + extr x8, x4, x1, #32 + adds x9, x9, x3 + adc x4, xzr, xzr + subs x1, x17, x8 + lsl x17, x1, #32 + sbcs x8, x2, x9 + sbcs x9, x12, x4 + add x17, x17, x1 + mov x1, v18.d[1] + lsr x2, x17, #32 + sbcs x7, x7, xzr + mov x12, v18.d[0] + sbcs x15, x15, xzr + sbc x3, x3, xzr + subs x4, x2, x17 + sbc x2, x17, xzr + adds x12, x13, x12 + adcs x16, x16, x1 + lsr x13, x2, #32 + extr x1, x2, x4, #32 + adc x2, x14, xzr + adds x4, x13, x17 + mul x13, x6, x6 + adc x14, xzr, xzr + subs x1, x8, x1 + sbcs x4, x9, x4 + mov x9, v28.d[0] + sbcs x7, x7, x14 + sbcs x8, x15, xzr + sbcs x3, x3, xzr + sbc x14, x17, xzr + adds x17, x9, x9 + adcs x12, x12, x12 + mov x15, v19.d[0] + adcs x9, x16, x16 + umulh x6, x6, x6 + adcs x16, x2, x2 + adc x2, xzr, xzr + adds x11, x11, x8 + adcs x3, x3, xzr + adcs x14, x14, xzr + adcs x8, xzr, xzr + adds x13, x1, x13 + mov x1, v19.d[1] + adcs x6, x4, x6 + mov x4, #0xffffffff + adcs x15, x7, x15 + adcs x7, x11, x5 + adcs x1, x3, x1 + adcs x14, x14, x10 + adc x11, x8, xzr + adds x6, x6, x17 + adcs x8, x15, x12 + adcs x3, x7, x9 + adcs x15, x1, x16 + mov x16, #0xffffffff00000001 + adcs x14, x14, x2 + mov x2, #0x1 + adc x17, x11, xzr + cmn x13, x16 + adcs xzr, x6, x4 + adcs xzr, x8, x2 + adcs xzr, x3, xzr + adcs xzr, x15, xzr + adcs xzr, x14, xzr + adc x1, x17, xzr + neg x9, x1 + and x1, x16, x9 + adds x11, x13, x1 + and x13, x4, x9 + adcs x5, x6, x13 + and x1, x2, x9 + adcs x7, x8, x1 + stp x11, x5, [x0] // @slothy:writes=buffer0 + adcs x11, x3, xzr + adcs x2, x15, xzr + stp x7, x11, [x0, #16] // @slothy:writes=buffer16 + adc x17, x14, xzr + stp x2, x17, [x0, #32] // depth 72 // @slothy:writes=buffer32 + + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_montsqr_p384) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/arm/bignum_montsqr_p384_alt.S b/cbits/s2n/arm/bignum_montsqr_p384_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/bignum_montsqr_p384_alt.S @@ -0,0 +1,273 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Montgomery square, z := (x^2 / 2^384) mod p_384 +// Input x[6]; output z[6] +// +// extern void bignum_montsqr_p384_alt(uint64_t z[static 6], +// const uint64_t x[static 6]); +// +// Does z := (x^2 / 2^384) mod p_384, assuming x^2 <= 2^384 * p_384, which is +// guaranteed in particular if x < p_384 initially (the "intended" case). +// +// Standard ARM ABI: X0 = z, X1 = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_montsqr_p384_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_montsqr_p384_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_montsqr_p384_alt) + .text + .balign 4 + +// --------------------------------------------------------------------------- +// Core one-step "short" Montgomery reduction macro. Takes input in +// [d5;d4;d3;d2;d1;d0] and returns result in [d6;d5;d4;d3;d2;d1], +// adding to the existing contents of [d5;d4;d3;d2;d1]. It is fine +// for d6 to be the same register as d0. +// +// We want to add (2^384 - 2^128 - 2^96 + 2^32 - 1) * w +// where w = [d0 + (d0<<32)] mod 2^64 +// --------------------------------------------------------------------------- + +#define montreds(d6,d5,d4,d3,d2,d1,d0, t3,t2,t1) \ +/* Our correction multiplier is w = [d0 + (d0<<32)] mod 2^64 */ \ +/* Store it in d6 to make the 2^384 * w contribution already */ \ + lsl t1, d0, #32 __LF \ + add d6, t1, d0 __LF \ +/* Now let [t3;t2;t1;-] = (2^384 - p_384) * w */ \ +/* We know the lowest word will cancel d0 so we don't need it */ \ + mov t1, #0xffffffff00000001 __LF \ + umulh t1, t1, d6 __LF \ + mov t2, #0x00000000ffffffff __LF \ + mul t3, t2, d6 __LF \ + umulh t2, t2, d6 __LF \ + adds t1, t1, t3 __LF \ + adcs t2, t2, d6 __LF \ + adc t3, xzr, xzr __LF \ +/* Now add it, by subtracting from 2^384 * w + x */ \ + subs d1, d1, t1 __LF \ + sbcs d2, d2, t2 __LF \ + sbcs d3, d3, t3 __LF \ + sbcs d4, d4, xzr __LF \ + sbcs d5, d5, xzr __LF \ + sbc d6, d6, xzr + +#define z x0 +#define x x1 + +#define a0 x2 +#define a1 x3 +#define a2 x4 +#define a3 x5 +#define a4 x6 +#define a5 x7 + +#define l x8 + +#define u0 x2 // The same as a0, which is safe +#define u1 x9 +#define u2 x10 +#define u3 x11 +#define u4 x12 +#define u5 x13 +#define u6 x14 +#define u7 x15 +#define u8 x16 +#define u9 x17 +#define u10 x19 +#define u11 x20 +#define h x6 // same as a4 + +S2N_BN_SYMBOL(bignum_montsqr_p384_alt): + CFI_START + +// It's convenient to have two more registers to play with + + CFI_PUSH2(x19,x20) + +// Load all the elements as [a5;a4;a3;a2;a1;a0], set up an initial +// window [u8;u7; u6;u5; u4;u3; u2;u1] = [34;05;03;01], and then +// chain in the addition of 02 + 12 + 13 + 14 + 15 to that window +// (no carry-out possible since we add it to the top of a product). + + ldp a0, a1, [x] + + mul u1, a0, a1 + umulh u2, a0, a1 + + ldp a2, a3, [x, #16] + + mul l, a0, a2 + adds u2, u2, l + + mul u3, a0, a3 + mul l, a1, a2 + adcs u3, u3, l + + umulh u4, a0, a3 + mul l, a1, a3 + adcs u4, u4, l + + ldp a4, a5, [x, #32] + + mul u5, a0, a5 + mul l, a1, a4 + adcs u5, u5, l + + umulh u6, a0, a5 + mul l, a1, a5 + adcs u6, u6, l + + mul u7, a3, a4 + adcs u7, u7, xzr + + umulh u8, a3, a4 + adc u8, u8, xzr + + umulh l, a0, a2 + adds u3, u3, l + umulh l, a1, a2 + adcs u4, u4, l + umulh l, a1, a3 + adcs u5, u5, l + umulh l, a1, a4 + adcs u6, u6, l + umulh l, a1, a5 + adcs u7, u7, l + adc u8, u8, xzr + +// Now chain in the 04 + 23 + 24 + 25 + 35 + 45 terms + + mul l, a0, a4 + adds u4, u4, l + mul l, a2, a3 + adcs u5, u5, l + mul l, a2, a4 + adcs u6, u6, l + mul l, a2, a5 + adcs u7, u7, l + mul l, a3, a5 + adcs u8, u8, l + mul u9, a4, a5 + adcs u9, u9, xzr + umulh u10, a4, a5 + adc u10, u10, xzr + + umulh l, a0, a4 + adds u5, u5, l + umulh l, a2, a3 + adcs u6, u6, l + umulh l, a2, a4 + adcs u7, u7, l + umulh l, a2, a5 + adcs u8, u8, l + umulh l, a3, a5 + adcs u9, u9, l + adc u10, u10, xzr + +// Double that, with u11 holding the top carry + + adds u1, u1, u1 + adcs u2, u2, u2 + adcs u3, u3, u3 + adcs u4, u4, u4 + adcs u5, u5, u5 + adcs u6, u6, u6 + adcs u7, u7, u7 + adcs u8, u8, u8 + adcs u9, u9, u9 + adcs u10, u10, u10 + cset u11, cs + +// Add the homogeneous terms 00 + 11 + 22 + 33 + 44 + 55 + + umulh l, a0, a0 + mul u0, a0, a0 + adds u1, u1, l + + mul l, a1, a1 + adcs u2, u2, l + umulh l, a1, a1 + adcs u3, u3, l + + mul l, a2, a2 + adcs u4, u4, l + umulh l, a2, a2 + adcs u5, u5, l + + mul l, a3, a3 + adcs u6, u6, l + umulh l, a3, a3 + adcs u7, u7, l + + mul l, a4, a4 + adcs u8, u8, l + umulh l, a4, a4 + adcs u9, u9, l + + mul l, a5, a5 + adcs u10, u10, l + umulh l, a5, a5 + adc u11, u11, l + +// Montgomery rotate the low half + + montreds(u0,u5,u4,u3,u2,u1,u0, a1,a2,a3) + montreds(u1,u0,u5,u4,u3,u2,u1, a1,a2,a3) + montreds(u2,u1,u0,u5,u4,u3,u2, a1,a2,a3) + montreds(u3,u2,u1,u0,u5,u4,u3, a1,a2,a3) + montreds(u4,u3,u2,u1,u0,u5,u4, a1,a2,a3) + montreds(u5,u4,u3,u2,u1,u0,u5, a1,a2,a3) + +// Add up the high and low parts as [h; u5;u4;u3;u2;u1;u0] = z + + adds u0, u0, u6 + adcs u1, u1, u7 + adcs u2, u2, u8 + adcs u3, u3, u9 + adcs u4, u4, u10 + adcs u5, u5, u11 + adc h, xzr, xzr + +// Now add [h; u11;u10;u9;u8;u7;u6] = z + (2^384 - p_384) + + mov l, #0xffffffff00000001 + adds u6, u0, l + mov l, #0x00000000ffffffff + adcs u7, u1, l + mov l, #0x0000000000000001 + adcs u8, u2, l + adcs u9, u3, xzr + adcs u10, u4, xzr + adcs u11, u5, xzr + adcs h, h, xzr + +// Now z >= p_384 iff h is nonzero, so select accordingly + + csel u0, u0, u6, eq + csel u1, u1, u7, eq + csel u2, u2, u8, eq + csel u3, u3, u9, eq + csel u4, u4, u10, eq + csel u5, u5, u11, eq + +// Store back final result + + stp u0, u1, [z] + stp u2, u3, [z, #16] + stp u4, u5, [z, #32] + +// Restore registers + + CFI_POP2(x19,x20) + + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_montsqr_p384_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/arm/bignum_mul_p521.S b/cbits/s2n/arm/bignum_mul_p521.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/bignum_mul_p521.S @@ -0,0 +1,1407 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Multiply modulo p_521, z := (x * y) mod p_521, assuming x and y reduced +// Inputs x[9], y[9]; output z[9] +// +// extern void bignum_mul_p521(uint64_t z[static 9], const uint64_t x[static 9], +// const uint64_t y[static 9]); +// +// Standard ARM ABI: X0 = z, X1 = x, X2 = y +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + +// bignum_mul_p521 is functionally equivalent to unopt/bignum_mul_p521_base. +// It is written in a way that +// 1. A subset of scalar multiplications in bignum_montmul_p384 are carefully +// chosen and vectorized +// 2. The vectorized assembly is rescheduled using the SLOTHY superoptimizer. +// https://github.com/slothy-optimizer/slothy +// +// The output program of step 1. is as follows: +// +// stp x19, x20, [sp, #-16]! +// stp x21, x22, [sp, #-16]! +// stp x23, x24, [sp, #-16]! +// stp x25, x26, [sp, #-16]! +// sub sp, sp, #80 +// ldp x15, x21, [x1] +// ldp x10, x17, [x1, #16] +// ldp x13, x16, [x2] +// ldr q18, [x1] +// ldr q28, [x2] +// ldp x5, x20, [x2, #16] +// movi v16.2D, #0x00000000ffffffff +// uzp2 v7.4S, v28.4S, v28.4S +// xtn v4.2S, v18.2D +// xtn v1.2S, v28.2D +// rev64 v27.4S, v28.4S +// umull v21.2D, v4.2S, v1.2S +// umull v28.2D, v4.2S, v7.2S +// uzp2 v5.4S, v18.4S, v18.4S +// mul v18.4S, v27.4S, v18.4S +// usra v28.2D, v21.2D, #32 +// umull v29.2D, v5.2S, v7.2S +// uaddlp v18.2D, v18.4S +// and v16.16B, v28.16B, v16.16B +// umlal v16.2D, v5.2S, v1.2S +// shl v18.2D, v18.2D, #32 +// usra v29.2D, v28.2D, #32 +// umlal v18.2D, v4.2S, v1.2S +// usra v29.2D, v16.2D, #32 +// mov x8, v18.d[0] +// mov x9, v18.d[1] +// mul x6, x10, x5 +// mul x19, x17, x20 +// mov x14, v29.d[0] +// adds x9, x9, x14 +// mov x14, v29.d[1] +// adcs x6, x6, x14 +// umulh x14, x10, x5 +// adcs x19, x19, x14 +// umulh x14, x17, x20 +// adc x14, x14, xzr +// adds x11, x9, x8 +// adcs x9, x6, x9 +// adcs x6, x19, x6 +// adcs x19, x14, x19 +// adc x14, xzr, x14 +// adds x3, x9, x8 +// adcs x24, x6, x11 +// adcs x9, x19, x9 +// adcs x6, x14, x6 +// adcs x19, xzr, x19 +// adc x14, xzr, x14 +// subs x4, x10, x17 +// cneg x4, x4, cc +// csetm x7, cc +// subs x23, x20, x5 +// cneg x23, x23, cc +// mul x22, x4, x23 +// umulh x4, x4, x23 +// cinv x7, x7, cc +// cmn x7, #0x1 +// eor x23, x22, x7 +// adcs x6, x6, x23 +// eor x4, x4, x7 +// adcs x19, x19, x4 +// adc x14, x14, x7 +// subs x4, x15, x21 +// cneg x4, x4, cc +// csetm x7, cc +// subs x23, x16, x13 +// cneg x23, x23, cc +// mul x22, x4, x23 +// umulh x4, x4, x23 +// cinv x7, x7, cc +// cmn x7, #0x1 +// eor x23, x22, x7 +// adcs x11, x11, x23 +// eor x4, x4, x7 +// adcs x3, x3, x4 +// adcs x24, x24, x7 +// adcs x9, x9, x7 +// adcs x6, x6, x7 +// adcs x19, x19, x7 +// adc x14, x14, x7 +// subs x4, x21, x17 +// cneg x4, x4, cc +// csetm x7, cc +// subs x23, x20, x16 +// cneg x23, x23, cc +// mul x22, x4, x23 +// umulh x4, x4, x23 +// cinv x7, x7, cc +// cmn x7, #0x1 +// eor x23, x22, x7 +// adcs x9, x9, x23 +// eor x4, x4, x7 +// adcs x6, x6, x4 +// adcs x19, x19, x7 +// adc x14, x14, x7 +// subs x4, x15, x10 +// cneg x4, x4, cc +// csetm x7, cc +// subs x23, x5, x13 +// cneg x23, x23, cc +// mul x22, x4, x23 +// umulh x4, x4, x23 +// cinv x7, x7, cc +// cmn x7, #0x1 +// eor x23, x22, x7 +// adcs x3, x3, x23 +// eor x4, x4, x7 +// adcs x24, x24, x4 +// adcs x9, x9, x7 +// adcs x6, x6, x7 +// adcs x19, x19, x7 +// adc x14, x14, x7 +// subs x17, x15, x17 +// cneg x17, x17, cc +// csetm x4, cc +// subs x13, x20, x13 +// cneg x13, x13, cc +// mul x20, x17, x13 +// umulh x17, x17, x13 +// cinv x13, x4, cc +// cmn x13, #0x1 +// eor x20, x20, x13 +// adcs x20, x24, x20 +// eor x17, x17, x13 +// adcs x17, x9, x17 +// adcs x9, x6, x13 +// adcs x6, x19, x13 +// adc x13, x14, x13 +// subs x21, x21, x10 +// cneg x21, x21, cc +// csetm x10, cc +// subs x16, x5, x16 +// cneg x16, x16, cc +// mul x5, x21, x16 +// umulh x21, x21, x16 +// cinv x10, x10, cc +// cmn x10, #0x1 +// eor x16, x5, x10 +// adcs x16, x20, x16 +// eor x21, x21, x10 +// adcs x21, x17, x21 +// adcs x17, x9, x10 +// adcs x5, x6, x10 +// adc x10, x13, x10 +// lsl x13, x8, #9 +// extr x20, x11, x8, #55 +// extr x8, x3, x11, #55 +// extr x9, x16, x3, #55 +// lsr x16, x16, #55 +// stp x21, x17, [sp] // @slothy:writes=stack0 +// stp x5, x10, [sp, #16] // @slothy:writes=stack16 +// stp x13, x20, [sp, #32] // @slothy:writes=stack32 +// stp x8, x9, [sp, #48] // @slothy:writes=stack48 +// str x16, [sp, #64] // @slothy:writes=stack64 +// ldp x21, x10, [x1, #32] +// ldp x17, x13, [x1, #48] +// ldp x16, x5, [x2, #32] +// ldr q18, [x1, #32] +// ldr q28, [x2, #32] +// ldp x20, x8, [x2, #48] +// movi v16.2D, #0x00000000ffffffff +// uzp2 v7.4S, v28.4S, v28.4S +// xtn v4.2S, v18.2D +// xtn v1.2S, v28.2D +// rev64 v28.4S, v28.4S +// umull v27.2D, v4.2S, v1.2S +// umull v29.2D, v4.2S, v7.2S +// uzp2 v21.4S, v18.4S, v18.4S +// mul v28.4S, v28.4S, v18.4S +// usra v29.2D, v27.2D, #32 +// umull v18.2D, v21.2S, v7.2S +// uaddlp v28.2D, v28.4S +// and v16.16B, v29.16B, v16.16B +// umlal v16.2D, v21.2S, v1.2S +// shl v28.2D, v28.2D, #32 +// usra v18.2D, v29.2D, #32 +// umlal v28.2D, v4.2S, v1.2S +// usra v18.2D, v16.2D, #32 +// mov x9, v28.d[0] +// mov x6, v28.d[1] +// mul x19, x17, x20 +// mul x14, x13, x8 +// mov x11, v18.d[0] +// adds x6, x6, x11 +// mov x11, v18.d[1] +// adcs x19, x19, x11 +// umulh x11, x17, x20 +// adcs x14, x14, x11 +// umulh x11, x13, x8 +// adc x11, x11, xzr +// adds x3, x6, x9 +// adcs x6, x19, x6 +// adcs x19, x14, x19 +// adcs x14, x11, x14 +// adc x11, xzr, x11 +// adds x24, x6, x9 +// adcs x4, x19, x3 +// adcs x6, x14, x6 +// adcs x19, x11, x19 +// adcs x14, xzr, x14 +// adc x11, xzr, x11 +// subs x7, x17, x13 +// cneg x7, x7, cc +// csetm x23, cc +// subs x22, x8, x20 +// cneg x22, x22, cc +// mul x12, x7, x22 +// umulh x7, x7, x22 +// cinv x23, x23, cc +// cmn x23, #0x1 +// eor x22, x12, x23 +// adcs x19, x19, x22 +// eor x7, x7, x23 +// adcs x14, x14, x7 +// adc x11, x11, x23 +// subs x7, x21, x10 +// cneg x7, x7, cc +// csetm x23, cc +// subs x22, x5, x16 +// cneg x22, x22, cc +// mul x12, x7, x22 +// umulh x7, x7, x22 +// cinv x23, x23, cc +// cmn x23, #0x1 +// eor x22, x12, x23 +// adcs x3, x3, x22 +// eor x7, x7, x23 +// adcs x24, x24, x7 +// adcs x4, x4, x23 +// adcs x6, x6, x23 +// adcs x19, x19, x23 +// adcs x14, x14, x23 +// adc x11, x11, x23 +// subs x7, x10, x13 +// cneg x7, x7, cc +// csetm x23, cc +// subs x22, x8, x5 +// cneg x22, x22, cc +// mul x12, x7, x22 +// umulh x7, x7, x22 +// cinv x23, x23, cc +// cmn x23, #0x1 +// eor x22, x12, x23 +// adcs x6, x6, x22 +// eor x7, x7, x23 +// adcs x19, x19, x7 +// adcs x14, x14, x23 +// adc x11, x11, x23 +// subs x7, x21, x17 +// cneg x7, x7, cc +// csetm x23, cc +// subs x22, x20, x16 +// cneg x22, x22, cc +// mul x12, x7, x22 +// umulh x7, x7, x22 +// cinv x23, x23, cc +// cmn x23, #0x1 +// eor x22, x12, x23 +// adcs x24, x24, x22 +// eor x7, x7, x23 +// adcs x4, x4, x7 +// adcs x6, x6, x23 +// adcs x19, x19, x23 +// adcs x14, x14, x23 +// adc x11, x11, x23 +// subs x7, x21, x13 +// cneg x7, x7, cc +// csetm x23, cc +// subs x22, x8, x16 +// cneg x22, x22, cc +// mul x12, x7, x22 +// umulh x7, x7, x22 +// cinv x23, x23, cc +// cmn x23, #0x1 +// eor x22, x12, x23 +// adcs x4, x4, x22 +// eor x7, x7, x23 +// adcs x6, x6, x7 +// adcs x19, x19, x23 +// adcs x14, x14, x23 +// adc x11, x11, x23 +// subs x7, x10, x17 +// cneg x7, x7, cc +// csetm x23, cc +// subs x22, x20, x5 +// cneg x22, x22, cc +// mul x12, x7, x22 +// umulh x7, x7, x22 +// cinv x23, x23, cc +// cmn x23, #0x1 +// eor x22, x12, x23 +// adcs x4, x4, x22 +// eor x7, x7, x23 +// adcs x6, x6, x7 +// adcs x19, x19, x23 +// adcs x14, x14, x23 +// adc x11, x11, x23 +// ldp x7, x23, [sp] // @slothy:reads=stack0 +// adds x9, x9, x7 +// adcs x3, x3, x23 +// stp x9, x3, [sp] // @slothy:writes=stack0 +// ldp x9, x3, [sp, #16] // @slothy:reads=stack16 +// adcs x9, x24, x9 +// adcs x3, x4, x3 +// stp x9, x3, [sp, #16] // @slothy:writes=stack16 +// ldp x9, x3, [sp, #32] // @slothy:reads=stack32 +// adcs x9, x6, x9 +// adcs x6, x19, x3 +// stp x9, x6, [sp, #32] // @slothy:writes=stack32 +// ldp x9, x6, [sp, #48] // @slothy:reads=stack48 +// adcs x9, x14, x9 +// adcs x6, x11, x6 +// stp x9, x6, [sp, #48] // @slothy:writes=stack48 +// ldr x9, [sp, #64] // @slothy:reads=stack64 +// adc x9, x9, xzr +// str x9, [sp, #64] // @slothy:writes=stack64 +// ldp x9, x6, [x1] +// subs x21, x21, x9 +// sbcs x10, x10, x6 +// ldp x9, x6, [x1, #16] +// sbcs x17, x17, x9 +// sbcs x13, x13, x6 +// csetm x9, cc +// ldp x6, x19, [x2] +// subs x16, x6, x16 +// sbcs x5, x19, x5 +// ldp x6, x19, [x2, #16] +// sbcs x20, x6, x20 +// sbcs x8, x19, x8 +// csetm x6, cc +// eor x21, x21, x9 +// subs x21, x21, x9 +// eor x10, x10, x9 +// sbcs x10, x10, x9 +// eor x17, x17, x9 +// sbcs x17, x17, x9 +// eor x13, x13, x9 +// sbc x13, x13, x9 +// eor x16, x16, x6 +// subs x16, x16, x6 +// eor x5, x5, x6 +// sbcs x5, x5, x6 +// eor x20, x20, x6 +// sbcs x20, x20, x6 +// eor x8, x8, x6 +// sbc x8, x8, x6 +// eor x9, x6, x9 +// mul x6, x21, x16 +// mul x19, x10, x5 +// mul x14, x17, x20 +// mul x11, x13, x8 +// umulh x3, x21, x16 +// adds x19, x19, x3 +// umulh x3, x10, x5 +// adcs x14, x14, x3 +// umulh x3, x17, x20 +// adcs x11, x11, x3 +// umulh x3, x13, x8 +// adc x3, x3, xzr +// adds x24, x19, x6 +// adcs x19, x14, x19 +// adcs x14, x11, x14 +// adcs x11, x3, x11 +// adc x3, xzr, x3 +// adds x4, x19, x6 +// adcs x7, x14, x24 +// adcs x19, x11, x19 +// adcs x14, x3, x14 +// adcs x11, xzr, x11 +// adc x3, xzr, x3 +// subs x23, x17, x13 +// cneg x23, x23, cc +// csetm x22, cc +// subs x12, x8, x20 +// cneg x12, x12, cc +// mul x15, x23, x12 +// umulh x23, x23, x12 +// cinv x22, x22, cc +// cmn x22, #0x1 +// eor x12, x15, x22 +// adcs x14, x14, x12 +// eor x23, x23, x22 +// adcs x11, x11, x23 +// adc x3, x3, x22 +// subs x23, x21, x10 +// cneg x23, x23, cc +// csetm x22, cc +// subs x12, x5, x16 +// cneg x12, x12, cc +// mul x15, x23, x12 +// umulh x23, x23, x12 +// cinv x22, x22, cc +// cmn x22, #0x1 +// eor x12, x15, x22 +// adcs x24, x24, x12 +// eor x23, x23, x22 +// adcs x4, x4, x23 +// adcs x7, x7, x22 +// adcs x19, x19, x22 +// adcs x14, x14, x22 +// adcs x11, x11, x22 +// adc x3, x3, x22 +// subs x23, x10, x13 +// cneg x23, x23, cc +// csetm x22, cc +// subs x12, x8, x5 +// cneg x12, x12, cc +// mul x15, x23, x12 +// umulh x23, x23, x12 +// cinv x22, x22, cc +// cmn x22, #0x1 +// eor x12, x15, x22 +// adcs x19, x19, x12 +// eor x23, x23, x22 +// adcs x14, x14, x23 +// adcs x11, x11, x22 +// adc x3, x3, x22 +// subs x23, x21, x17 +// cneg x23, x23, cc +// csetm x22, cc +// subs x12, x20, x16 +// cneg x12, x12, cc +// mul x15, x23, x12 +// umulh x23, x23, x12 +// cinv x22, x22, cc +// cmn x22, #0x1 +// eor x12, x15, x22 +// adcs x4, x4, x12 +// eor x23, x23, x22 +// adcs x7, x7, x23 +// adcs x19, x19, x22 +// adcs x14, x14, x22 +// adcs x11, x11, x22 +// adc x3, x3, x22 +// subs x21, x21, x13 +// cneg x21, x21, cc +// csetm x13, cc +// subs x16, x8, x16 +// cneg x16, x16, cc +// mul x8, x21, x16 +// umulh x21, x21, x16 +// cinv x13, x13, cc +// cmn x13, #0x1 +// eor x16, x8, x13 +// adcs x16, x7, x16 +// eor x21, x21, x13 +// adcs x21, x19, x21 +// adcs x8, x14, x13 +// adcs x19, x11, x13 +// adc x13, x3, x13 +// subs x10, x10, x17 +// cneg x10, x10, cc +// csetm x17, cc +// subs x5, x20, x5 +// cneg x5, x5, cc +// mul x20, x10, x5 +// umulh x10, x10, x5 +// cinv x17, x17, cc +// cmn x17, #0x1 +// eor x5, x20, x17 +// adcs x16, x16, x5 +// eor x10, x10, x17 +// adcs x21, x21, x10 +// adcs x10, x8, x17 +// adcs x5, x19, x17 +// adc x17, x13, x17 +// ldp x13, x20, [sp] // @slothy:reads=stack0 +// ldp x8, x19, [sp, #16] // @slothy:reads=stack16 +// eor x6, x6, x9 +// adds x6, x6, x13 +// eor x14, x24, x9 +// adcs x14, x14, x20 +// eor x11, x4, x9 +// adcs x11, x11, x8 +// eor x16, x16, x9 +// adcs x16, x16, x19 +// eor x21, x21, x9 +// ldp x3, x24, [sp, #32] // @slothy:reads=stack32 +// ldp x4, x7, [sp, #48] // @slothy:reads=stack48 +// ldr x23, [sp, #64] // @slothy:reads=stack64 +// adcs x21, x21, x3 +// eor x10, x10, x9 +// adcs x10, x10, x24 +// eor x5, x5, x9 +// adcs x5, x5, x4 +// eor x17, x17, x9 +// adcs x17, x17, x7 +// adc x22, x23, xzr +// adds x21, x21, x13 +// adcs x10, x10, x20 +// adcs x13, x5, x8 +// adcs x17, x17, x19 +// and x5, x9, #0x1ff +// lsl x20, x6, #9 +// orr x5, x20, x5 +// adcs x5, x3, x5 +// extr x20, x14, x6, #55 +// adcs x20, x24, x20 +// extr x8, x11, x14, #55 +// adcs x8, x4, x8 +// extr x9, x16, x11, #55 +// adcs x9, x7, x9 +// lsr x16, x16, #55 +// adc x16, x16, x23 +// ldr x6, [x2, #64] +// ldp x19, x14, [x1] +// and x11, x19, #0xfffffffffffff +// mul x11, x6, x11 +// ldr x3, [x1, #64] +// ldp x24, x4, [x2] +// and x7, x24, #0xfffffffffffff +// mul x7, x3, x7 +// add x11, x11, x7 +// extr x19, x14, x19, #52 +// and x19, x19, #0xfffffffffffff +// mul x19, x6, x19 +// extr x24, x4, x24, #52 +// and x24, x24, #0xfffffffffffff +// mul x24, x3, x24 +// add x19, x19, x24 +// lsr x24, x11, #52 +// add x19, x19, x24 +// lsl x11, x11, #12 +// extr x11, x19, x11, #12 +// adds x21, x21, x11 +// ldp x11, x24, [x1, #16] +// ldp x7, x23, [x2, #16] +// extr x14, x11, x14, #40 +// and x14, x14, #0xfffffffffffff +// mul x14, x6, x14 +// extr x4, x7, x4, #40 +// and x4, x4, #0xfffffffffffff +// mul x4, x3, x4 +// add x14, x14, x4 +// lsr x4, x19, #52 +// add x14, x14, x4 +// lsl x19, x19, #12 +// extr x19, x14, x19, #24 +// adcs x10, x10, x19 +// extr x19, x24, x11, #28 +// and x19, x19, #0xfffffffffffff +// mul x19, x6, x19 +// extr x11, x23, x7, #28 +// and x11, x11, #0xfffffffffffff +// mul x11, x3, x11 +// add x19, x19, x11 +// lsr x11, x14, #52 +// add x19, x19, x11 +// lsl x14, x14, #12 +// extr x14, x19, x14, #36 +// adcs x13, x13, x14 +// and x14, x10, x13 +// ldp x11, x4, [x1, #32] +// ldp x7, x12, [x2, #32] +// extr x24, x11, x24, #16 +// and x24, x24, #0xfffffffffffff +// mul x24, x6, x24 +// extr x23, x7, x23, #16 +// and x23, x23, #0xfffffffffffff +// mul x23, x3, x23 +// add x24, x24, x23 +// lsl x23, x22, #48 +// add x24, x24, x23 +// lsr x23, x19, #52 +// add x24, x24, x23 +// lsl x19, x19, #12 +// extr x19, x24, x19, #48 +// adcs x17, x17, x19 +// and x19, x14, x17 +// lsr x14, x11, #4 +// and x14, x14, #0xfffffffffffff +// mul x14, x6, x14 +// lsr x23, x7, #4 +// and x23, x23, #0xfffffffffffff +// mul x23, x3, x23 +// add x14, x14, x23 +// lsr x23, x24, #52 +// add x14, x14, x23 +// lsl x24, x24, #12 +// extr x24, x14, x24, #60 +// extr x11, x4, x11, #56 +// and x11, x11, #0xfffffffffffff +// mul x11, x6, x11 +// extr x7, x12, x7, #56 +// and x7, x7, #0xfffffffffffff +// mul x7, x3, x7 +// add x11, x11, x7 +// lsr x14, x14, #52 +// add x14, x11, x14 +// lsl x11, x24, #8 +// extr x11, x14, x11, #8 +// adcs x5, x5, x11 +// and x19, x19, x5 +// ldp x11, x24, [x1, #48] +// ldp x2, x7, [x2, #48] +// extr x4, x11, x4, #44 +// and x4, x4, #0xfffffffffffff +// mul x4, x6, x4 +// extr x23, x2, x12, #44 +// and x23, x23, #0xfffffffffffff +// mul x23, x3, x23 +// add x4, x4, x23 +// lsr x23, x14, #52 +// add x4, x4, x23 +// lsl x14, x14, #12 +// extr x14, x4, x14, #20 +// adcs x20, x20, x14 +// and x19, x19, x20 +// extr x14, x24, x11, #32 +// and x14, x14, #0xfffffffffffff +// mul x14, x6, x14 +// extr x2, x7, x2, #32 +// and x2, x2, #0xfffffffffffff +// mul x2, x3, x2 +// add x2, x14, x2 +// lsr x14, x4, #52 +// add x2, x2, x14 +// lsl x14, x4, #12 +// extr x14, x2, x14, #32 +// adcs x8, x8, x14 +// and x19, x19, x8 +// lsr x14, x24, #20 +// mul x14, x6, x14 +// lsr x11, x7, #20 +// mul x11, x3, x11 +// add x14, x14, x11 +// lsr x11, x2, #52 +// add x14, x14, x11 +// lsl x2, x2, #12 +// extr x2, x14, x2, #44 +// adcs x9, x9, x2 +// and x2, x19, x9 +// mul x6, x6, x3 +// lsr x19, x14, #44 +// add x6, x6, x19 +// adc x16, x16, x6 +// lsr x6, x16, #9 +// orr x16, x16, #0xfffffffffffffe00 +// cmp xzr, xzr +// adcs xzr, x21, x6 +// adcs xzr, x2, xzr +// adcs xzr, x16, xzr +// adcs x21, x21, x6 +// adcs x10, x10, xzr +// adcs x13, x13, xzr +// adcs x17, x17, xzr +// adcs x5, x5, xzr +// adcs x20, x20, xzr +// adcs x8, x8, xzr +// adcs x9, x9, xzr +// adc x16, x16, xzr +// and x2, x21, #0x1ff +// extr x21, x10, x21, #9 +// extr x10, x13, x10, #9 +// stp x21, x10, [x0] // @slothy:writes=buffer0 +// extr x21, x17, x13, #9 +// extr x10, x5, x17, #9 +// stp x21, x10, [x0, #16] // @slothy:writes=buffer16 +// extr x21, x20, x5, #9 +// extr x10, x8, x20, #9 +// stp x21, x10, [x0, #32] // @slothy:writes=buffer32 +// extr x21, x9, x8, #9 +// extr x10, x16, x9, #9 +// stp x21, x10, [x0, #48] // @slothy:writes=buffer48 +// str x2, [x0, #64] // @slothy:writes=buffer64 +// add sp, sp, #80 +// ldp x25, x26, [sp], #16 +// ldp x23, x24, [sp], #16 +// ldp x21, x22, [sp], #16 +// ldp x19, x20, [sp], #16 +// ret +// +// The bash script used for step 2 is as follows: +// +// # Store the assembly instructions except the last 'ret', +// # callee-register store/loads and add/sub sp #80 as, say, 'input.S'. +// export OUTPUTS="[hint_buffer0,hint_buffer16,hint_buffer32,hint_buffer48,hint_buffer64]" +// export RESERVED_REGS="[x18,x27,x28,x29,x30,sp,q8,q9,q10,q11,q12,q13,q14,q15,v8,v9,v10,v11,v12,v13,v14,v15]" +// /tools/external/slothy.sh input.S my_out_dir +// # my_out_dir/3.opt.s is the optimized assembly. Its output may differ +// # from this file since the sequence is non-deterministically chosen. +// # Please add 'ret' at the end of the output assembly. + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_mul_p521) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_mul_p521) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_mul_p521) + .text + .balign 4 + +S2N_BN_SYMBOL(bignum_mul_p521): + CFI_START + +// Save registers and make space for the temporary buffer + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_PUSH2(x25,x26) + CFI_DEC_SP(80) + + ldr q6, [x2] + ldp x10, x17, [x1, #16] + ldr q4, [x1] + ldr q16, [x2, #32] + ldp x5, x20, [x2, #16] + ldr q2, [x1, #32] + movi v31.2D, #0x00000000ffffffff + uzp2 v17.4S, v6.4S, v6.4S + rev64 v7.4S, v6.4S + ldp x15, x21, [x1] + xtn v25.2S, v6.2D + xtn v22.2S, v4.2D + subs x14, x10, x17 + mul v7.4S, v7.4S, v4.4S + csetm x8, cc + rev64 v3.4S, v16.4S + xtn v1.2S, v16.2D + ldp x13, x16, [x2] + mul x26, x10, x5 + uzp2 v16.4S, v16.4S, v16.4S + uaddlp v26.2D, v7.4S + cneg x4, x14, cc + subs x24, x15, x21 + xtn v5.2S, v2.2D + mul v28.4S, v3.4S, v2.4S + shl v26.2D, v26.2D, #32 + mul x22, x17, x20 + umull v20.2D, v22.2S, v25.2S + uzp2 v6.4S, v4.4S, v4.4S + umull v18.2D, v22.2S, v17.2S + uzp2 v4.4S, v2.4S, v2.4S + cneg x14, x24, cc + csetm x7, cc + umulh x11, x17, x20 + usra v18.2D, v20.2D, #32 + uaddlp v7.2D, v28.4S + subs x19, x16, x13 + umlal v26.2D, v22.2S, v25.2S + cneg x19, x19, cc + shl v28.2D, v7.2D, #32 + umull v7.2D, v5.2S, v1.2S + umull v30.2D, v5.2S, v16.2S + cinv x6, x7, cc + mul x25, x14, x19 + umlal v28.2D, v5.2S, v1.2S + umull v21.2D, v6.2S, v17.2S + umulh x14, x14, x19 + usra v30.2D, v7.2D, #32 + subs x9, x20, x5 + and v29.16B, v18.16B, v31.16B + cinv x23, x8, cc + mov x8, v26.d[1] + cneg x12, x9, cc + usra v21.2D, v18.2D, #32 + umlal v29.2D, v6.2S, v25.2S + mul x24, x4, x12 + umull v18.2D, v4.2S, v16.2S + movi v25.2D, #0x00000000ffffffff + eor x9, x14, x6 + and v7.16B, v30.16B, v25.16B + usra v21.2D, v29.2D, #32 + umulh x7, x10, x5 + usra v18.2D, v30.2D, #32 + umlal v7.2D, v4.2S, v1.2S + mov x19, v21.d[0] + umulh x3, x4, x12 + mov x14, v21.d[1] + usra v18.2D, v7.2D, #32 + adds x4, x8, x19 + mov x8, v26.d[0] + adcs x19, x26, x14 + adcs x14, x22, x7 + adc x12, x11, xzr + adds x11, x4, x8 + adcs x26, x19, x4 + adcs x22, x14, x19 + eor x4, x24, x23 + adcs x14, x12, x14 + eor x7, x25, x6 + adc x25, xzr, x12 + eor x19, x3, x23 + adds x3, x26, x8 + adcs x24, x22, x11 + adcs x12, x14, x26 + adcs x22, x25, x22 + adcs x26, xzr, x14 + adc x14, xzr, x25 + cmn x23, #0x1 + adcs x22, x22, x4 + adcs x19, x26, x19 + adc x25, x14, x23 + subs x14, x21, x17 + cneg x23, x14, cc + csetm x26, cc + subs x4, x20, x16 + cneg x14, x4, cc + cinv x4, x26, cc + cmn x6, #0x1 + adcs x11, x11, x7 + mul x7, x23, x14 + adcs x9, x3, x9 + adcs x26, x24, x6 + umulh x3, x23, x14 + adcs x14, x12, x6 + adcs x22, x22, x6 + adcs x12, x19, x6 + extr x24, x11, x8, #55 + adc x6, x25, x6 + subs x19, x15, x17 + csetm x17, cc + cneg x23, x19, cc + subs x19, x20, x13 + lsl x25, x8, #9 + eor x8, x7, x4 + cneg x20, x19, cc + umulh x7, x23, x20 + cinv x19, x17, cc + subs x17, x15, x10 + csetm x15, cc + stp x25, x24, [sp, #32] + cneg x24, x17, cc + mul x20, x23, x20 + subs x25, x5, x13 + cneg x13, x25, cc + cinv x15, x15, cc + mul x25, x24, x13 + subs x21, x21, x10 + csetm x23, cc + cneg x17, x21, cc + subs x21, x5, x16 + umulh x13, x24, x13 + cinv x10, x23, cc + cneg x23, x21, cc + cmn x4, #0x1 + adcs x14, x14, x8 + eor x21, x3, x4 + adcs x21, x22, x21 + eor x5, x20, x19 + adcs x24, x12, x4 + mul x12, x17, x23 + eor x8, x25, x15 + adc x25, x6, x4 + cmn x15, #0x1 + adcs x6, x9, x8 + ldp x20, x8, [x2, #48] + eor x9, x13, x15 + adcs x4, x26, x9 + umulh x26, x17, x23 + ldp x17, x13, [x1, #48] + adcs x9, x14, x15 + adcs x16, x21, x15 + adcs x14, x24, x15 + eor x21, x7, x19 + mul x23, x17, x20 + adc x24, x25, x15 + cmn x19, #0x1 + adcs x7, x4, x5 + adcs x9, x9, x21 + umulh x3, x13, x8 + adcs x16, x16, x19 + adcs x22, x14, x19 + eor x5, x12, x10 + adc x12, x24, x19 + cmn x10, #0x1 + adcs x19, x7, x5 + eor x14, x26, x10 + mov x7, v28.d[1] + adcs x24, x9, x14 + extr x4, x19, x6, #55 + umulh x15, x17, x20 + mov x14, v18.d[1] + lsr x9, x19, #55 + adcs x5, x16, x10 + mov x16, v18.d[0] + adcs x19, x22, x10 + str x9, [sp, #64] + extr x25, x6, x11, #55 + adc x21, x12, x10 + subs x26, x17, x13 + stp x25, x4, [sp, #48] + stp x19, x21, [sp, #16] + csetm x6, cc + cneg x4, x26, cc + mul x19, x13, x8 + subs x11, x8, x20 + stp x24, x5, [sp] + ldp x21, x10, [x1, #32] + cinv x12, x6, cc + cneg x6, x11, cc + mov x9, v28.d[0] + umulh x25, x4, x6 + adds x22, x7, x16 + ldp x16, x5, [x2, #32] + adcs x14, x23, x14 + adcs x11, x19, x15 + adc x24, x3, xzr + adds x3, x22, x9 + adcs x15, x14, x22 + mul x22, x4, x6 + adcs x6, x11, x14 + adcs x4, x24, x11 + eor x14, x25, x12 + adc x26, xzr, x24 + subs x7, x21, x10 + csetm x23, cc + cneg x19, x7, cc + subs x24, x5, x16 + cneg x11, x24, cc + cinv x7, x23, cc + adds x25, x15, x9 + eor x23, x22, x12 + adcs x22, x6, x3 + mul x24, x19, x11 + adcs x15, x4, x15 + adcs x6, x26, x6 + umulh x19, x19, x11 + adcs x11, xzr, x4 + adc x26, xzr, x26 + cmn x12, #0x1 + adcs x4, x6, x23 + eor x6, x24, x7 + adcs x14, x11, x14 + adc x26, x26, x12 + subs x11, x10, x13 + cneg x12, x11, cc + csetm x11, cc + eor x19, x19, x7 + subs x24, x8, x5 + cinv x11, x11, cc + cneg x24, x24, cc + cmn x7, #0x1 + adcs x3, x3, x6 + mul x23, x12, x24 + adcs x25, x25, x19 + adcs x6, x22, x7 + umulh x19, x12, x24 + adcs x22, x15, x7 + adcs x12, x4, x7 + eor x24, x23, x11 + adcs x4, x14, x7 + adc x26, x26, x7 + eor x19, x19, x11 + subs x14, x21, x17 + cneg x7, x14, cc + csetm x14, cc + subs x23, x20, x16 + cinv x14, x14, cc + cneg x23, x23, cc + cmn x11, #0x1 + adcs x22, x22, x24 + mul x24, x7, x23 + adcs x15, x12, x19 + adcs x4, x4, x11 + adc x19, x26, x11 + umulh x26, x7, x23 + subs x7, x21, x13 + eor x11, x24, x14 + cneg x23, x7, cc + csetm x12, cc + subs x7, x8, x16 + cneg x7, x7, cc + cinv x12, x12, cc + cmn x14, #0x1 + eor x26, x26, x14 + adcs x11, x25, x11 + mul x25, x23, x7 + adcs x26, x6, x26 + adcs x6, x22, x14 + adcs x24, x15, x14 + umulh x23, x23, x7 + adcs x4, x4, x14 + adc x22, x19, x14 + eor x14, x25, x12 + eor x7, x23, x12 + cmn x12, #0x1 + adcs x14, x26, x14 + ldp x19, x25, [x2] + ldp x15, x23, [x2, #16] + adcs x26, x6, x7 + adcs x24, x24, x12 + adcs x7, x4, x12 + adc x4, x22, x12 + subs x19, x19, x16 + ldp x16, x22, [x1] + sbcs x6, x25, x5 + ldp x12, x25, [x1, #16] + sbcs x15, x15, x20 + sbcs x8, x23, x8 + csetm x23, cc + subs x21, x21, x16 + eor x16, x19, x23 + sbcs x19, x10, x22 + eor x22, x6, x23 + eor x8, x8, x23 + sbcs x6, x17, x12 + sbcs x13, x13, x25 + csetm x12, cc + subs x10, x10, x17 + cneg x17, x10, cc + csetm x25, cc + subs x5, x20, x5 + eor x10, x19, x12 + cneg x19, x5, cc + eor x20, x15, x23 + eor x21, x21, x12 + cinv x15, x25, cc + mul x25, x17, x19 + subs x16, x16, x23 + sbcs x5, x22, x23 + eor x6, x6, x12 + sbcs x20, x20, x23 + eor x22, x13, x12 + sbc x8, x8, x23 + subs x21, x21, x12 + umulh x19, x17, x19 + sbcs x10, x10, x12 + sbcs x17, x6, x12 + eor x6, x19, x15 + eor x19, x25, x15 + umulh x25, x17, x20 + sbc x13, x22, x12 + cmn x15, #0x1 + adcs x22, x14, x19 + adcs x19, x26, x6 + ldp x6, x26, [sp] + adcs x14, x24, x15 + umulh x24, x21, x16 + adcs x7, x7, x15 + adc x15, x4, x15 + adds x4, x9, x6 + eor x9, x23, x12 + adcs x12, x3, x26 + stp x4, x12, [sp] + ldp x4, x26, [sp, #16] + umulh x12, x10, x5 + ldp x6, x23, [sp, #32] + adcs x3, x11, x4 + mul x4, x13, x8 + adcs x26, x22, x26 + ldp x22, x11, [sp, #48] + adcs x6, x19, x6 + stp x3, x26, [sp, #16] + mul x26, x10, x5 + adcs x14, x14, x23 + stp x6, x14, [sp, #32] + ldr x6, [sp, #64] + adcs x22, x7, x22 + adcs x14, x15, x11 + mul x11, x17, x20 + adc x19, x6, xzr + stp x22, x14, [sp, #48] + adds x14, x26, x24 + str x19, [sp, #64] + umulh x19, x13, x8 + adcs x7, x11, x12 + adcs x22, x4, x25 + mul x6, x21, x16 + adc x19, x19, xzr + subs x11, x17, x13 + cneg x12, x11, cc + csetm x11, cc + subs x24, x8, x20 + cinv x11, x11, cc + cneg x24, x24, cc + adds x4, x14, x6 + adcs x14, x7, x14 + mul x3, x12, x24 + adcs x7, x22, x7 + adcs x22, x19, x22 + umulh x12, x12, x24 + adc x24, xzr, x19 + adds x19, x14, x6 + eor x3, x3, x11 + adcs x26, x7, x4 + adcs x14, x22, x14 + adcs x25, x24, x7 + adcs x23, xzr, x22 + eor x7, x12, x11 + adc x12, xzr, x24 + subs x22, x21, x10 + cneg x24, x22, cc + csetm x22, cc + subs x15, x5, x16 + cinv x22, x22, cc + cneg x15, x15, cc + cmn x11, #0x1 + adcs x3, x25, x3 + mul x25, x24, x15 + adcs x23, x23, x7 + adc x11, x12, x11 + subs x7, x10, x13 + umulh x15, x24, x15 + cneg x12, x7, cc + csetm x7, cc + eor x24, x25, x22 + eor x25, x15, x22 + cmn x22, #0x1 + adcs x24, x4, x24 + adcs x19, x19, x25 + adcs x15, x26, x22 + adcs x4, x14, x22 + adcs x26, x3, x22 + adcs x25, x23, x22 + adc x23, x11, x22 + subs x14, x21, x17 + cneg x3, x14, cc + csetm x11, cc + subs x14, x8, x5 + cneg x14, x14, cc + cinv x7, x7, cc + subs x13, x21, x13 + cneg x21, x13, cc + csetm x13, cc + mul x22, x12, x14 + subs x8, x8, x16 + cinv x13, x13, cc + umulh x14, x12, x14 + cneg x12, x8, cc + subs x8, x20, x16 + cneg x8, x8, cc + cinv x16, x11, cc + eor x22, x22, x7 + cmn x7, #0x1 + eor x14, x14, x7 + adcs x4, x4, x22 + mul x11, x3, x8 + adcs x22, x26, x14 + adcs x14, x25, x7 + eor x25, x24, x9 + adc x26, x23, x7 + umulh x7, x3, x8 + subs x17, x10, x17 + cneg x24, x17, cc + eor x3, x11, x16 + csetm x11, cc + subs x20, x20, x5 + cneg x5, x20, cc + cinv x11, x11, cc + cmn x16, #0x1 + mul x17, x21, x12 + eor x8, x7, x16 + adcs x10, x19, x3 + and x19, x9, #0x1ff + adcs x20, x15, x8 + umulh x15, x21, x12 + eor x12, x10, x9 + eor x8, x6, x9 + adcs x6, x4, x16 + adcs x4, x22, x16 + adcs x21, x14, x16 + adc x7, x26, x16 + mul x10, x24, x5 + cmn x13, #0x1 + ldp x3, x14, [x1] + eor x17, x17, x13 + umulh x5, x24, x5 + adcs x20, x20, x17 + eor x17, x15, x13 + adcs x16, x6, x17 + eor x22, x10, x11 + adcs x23, x4, x13 + extr x10, x14, x3, #52 + and x26, x3, #0xfffffffffffff + adcs x24, x21, x13 + and x15, x10, #0xfffffffffffff + adc x6, x7, x13 + cmn x11, #0x1 + adcs x17, x20, x22 + eor x4, x5, x11 + ldp x21, x10, [sp] + adcs x7, x16, x4 + eor x16, x17, x9 + eor x13, x7, x9 + ldp x3, x17, [sp, #16] + adcs x7, x23, x11 + eor x23, x7, x9 + ldp x5, x22, [sp, #32] + adcs x7, x24, x11 + adc x24, x6, x11 + ldr x6, [x2, #64] + adds x20, x8, x21 + lsl x11, x20, #9 + eor x4, x7, x9 + orr x7, x11, x19 + eor x8, x24, x9 + adcs x11, x25, x10 + mul x26, x6, x26 + ldp x19, x24, [sp, #48] + adcs x12, x12, x3 + adcs x16, x16, x17 + adcs x9, x13, x5 + ldr x25, [sp, #64] + extr x20, x11, x20, #55 + adcs x13, x23, x22 + adcs x4, x4, x19 + extr x23, x12, x11, #55 + adcs x8, x8, x24 + adc x11, x25, xzr + adds x21, x9, x21 + extr x9, x16, x12, #55 + lsr x12, x16, #55 + adcs x10, x13, x10 + mul x15, x6, x15 + adcs x13, x4, x3 + ldp x16, x4, [x2] + ldr x3, [x1, #64] + adcs x17, x8, x17 + adcs x5, x5, x7 + adcs x20, x22, x20 + adcs x8, x19, x23 + and x22, x16, #0xfffffffffffff + ldp x19, x7, [x1, #16] + adcs x9, x24, x9 + extr x24, x4, x16, #52 + adc x16, x12, x25 + mul x22, x3, x22 + and x25, x24, #0xfffffffffffff + extr x14, x19, x14, #40 + and x12, x14, #0xfffffffffffff + extr x23, x7, x19, #28 + ldp x19, x24, [x2, #16] + mul x14, x3, x25 + and x23, x23, #0xfffffffffffff + add x22, x26, x22 + lsl x11, x11, #48 + lsr x26, x22, #52 + lsl x25, x22, #12 + mul x22, x6, x12 + extr x12, x19, x4, #40 + add x4, x15, x14 + mul x15, x6, x23 + add x4, x4, x26 + extr x23, x24, x19, #28 + ldp x14, x19, [x1, #32] + and x26, x12, #0xfffffffffffff + extr x12, x4, x25, #12 + and x25, x23, #0xfffffffffffff + adds x21, x21, x12 + mul x12, x3, x26 + extr x23, x14, x7, #16 + and x23, x23, #0xfffffffffffff + mul x7, x3, x25 + ldp x25, x26, [x2, #32] + add x12, x22, x12 + extr x22, x19, x14, #56 + mul x23, x6, x23 + lsr x14, x14, #4 + extr x24, x25, x24, #16 + add x7, x15, x7 + and x15, x24, #0xfffffffffffff + and x22, x22, #0xfffffffffffff + lsr x24, x4, #52 + mul x15, x3, x15 + and x14, x14, #0xfffffffffffff + add x12, x12, x24 + lsl x24, x4, #12 + lsr x4, x12, #52 + extr x24, x12, x24, #24 + adcs x10, x10, x24 + lsl x24, x12, #12 + add x12, x7, x4 + mul x22, x6, x22 + add x4, x23, x15 + extr x7, x12, x24, #36 + adcs x13, x13, x7 + lsl x15, x12, #12 + add x7, x4, x11 + lsr x24, x12, #52 + ldp x23, x11, [x2, #48] + add x4, x7, x24 + mul x12, x6, x14 + extr x7, x26, x25, #56 + extr x14, x4, x15, #48 + and x2, x7, #0xfffffffffffff + extr x24, x11, x23, #32 + ldp x15, x7, [x1, #48] + and x1, x24, #0xfffffffffffff + lsr x24, x4, #52 + mul x2, x3, x2 + extr x26, x23, x26, #44 + lsr x23, x25, #4 + and x23, x23, #0xfffffffffffff + and x25, x26, #0xfffffffffffff + extr x26, x7, x15, #32 + extr x19, x15, x19, #44 + mul x23, x3, x23 + and x15, x26, #0xfffffffffffff + lsl x26, x4, #12 + and x4, x19, #0xfffffffffffff + lsr x11, x11, #20 + mul x19, x6, x4 + adcs x17, x17, x14 + add x14, x22, x2 + add x22, x12, x23 + lsr x7, x7, #20 + add x22, x22, x24 + extr x2, x22, x26, #60 + mul x24, x3, x25 + lsr x22, x22, #52 + add x14, x14, x22 + lsl x22, x2, #8 + extr x22, x14, x22, #8 + lsl x2, x14, #12 + mul x1, x3, x1 + adcs x12, x5, x22 + mul x5, x6, x15 + and x26, x10, x13 + and x4, x26, x17 + add x23, x19, x24 + lsr x14, x14, #52 + mul x22, x3, x11 + add x11, x23, x14 + extr x25, x11, x2, #20 + lsl x19, x11, #12 + adcs x25, x20, x25 + and x14, x4, x12 + add x1, x5, x1 + and x14, x14, x25 + mul x15, x6, x7 + add x26, x15, x22 + mul x6, x6, x3 + lsr x22, x11, #52 + add x4, x1, x22 + lsr x1, x4, #52 + extr x3, x4, x19, #32 + lsl x15, x4, #12 + add x7, x26, x1 + adcs x23, x8, x3 + extr x20, x7, x15, #44 + and x3, x14, x23 + lsr x19, x7, #44 + adcs x7, x9, x20 + add x11, x6, x19 + adc x4, x16, x11 + lsr x14, x4, #9 + cmp xzr, xzr + and x15, x3, x7 + orr x3, x4, #0xfffffffffffffe00 + adcs xzr, x21, x14 + adcs xzr, x15, xzr + adcs xzr, x3, xzr + adcs x11, x21, x14 + and x14, x11, #0x1ff + adcs x1, x10, xzr + extr x10, x1, x11, #9 + str x14, [x0, #64] + adcs x14, x13, xzr + extr x11, x14, x1, #9 + adcs x1, x17, xzr + extr x4, x1, x14, #9 + stp x10, x11, [x0] + adcs x11, x12, xzr + extr x14, x11, x1, #9 + adcs x10, x25, xzr + extr x11, x10, x11, #9 + stp x4, x14, [x0, #16] + adcs x14, x23, xzr + extr x10, x14, x10, #9 + adcs x1, x7, xzr + stp x11, x10, [x0, #32] + extr x14, x1, x14, #9 + adc x10, x3, xzr + extr x26, x10, x1, #9 + stp x14, x26, [x0, #48] + +// Restore regs and return + + CFI_INC_SP(80) + CFI_POP2(x25,x26) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_mul_p521) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/arm/bignum_mul_p521_alt.S b/cbits/s2n/arm/bignum_mul_p521_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/bignum_mul_p521_alt.S @@ -0,0 +1,538 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Multiply modulo p_521, z := (x * y) mod p_521, assuming x and y reduced +// Inputs x[9], y[9]; output z[9] +// +// extern void bignum_mul_p521_alt(uint64_t z[static 9], +// const uint64_t x[static 9], +// const uint64_t y[static 9]); +// +// Standard ARM ABI: X0 = z, X1 = x, X2 = y +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_mul_p521_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_mul_p521_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_mul_p521_alt) + .text + .balign 4 + +#define z x0 +#define x x1 +#define y x2 + +// These are repeated mod 2 as we load paris of inputs + +#define a0 x3 +#define a1 x4 +#define a2 x3 +#define a3 x4 +#define a4 x3 +#define a5 x4 +#define a6 x3 +#define a7 x4 +#define a8 x3 + +#define b0 x5 +#define b1 x6 +#define b2 x7 +#define b3 x8 +#define b4 x9 +#define b5 x10 +#define b6 x11 +#define b7 x12 +#define b8 x13 + +#define t x14 + +// These repeat mod 11 as we stash some intermediate results in the +// output buffer. + +#define u0 x15 +#define u1 x16 +#define u2 x17 +#define u3 x19 +#define u4 x20 +#define u5 x21 +#define u6 x22 +#define u7 x23 +#define u8 x24 +#define u9 x25 +#define u10 x26 +#define u11 x15 +#define u12 x16 +#define u13 x17 +#define u14 x19 +#define u15 x20 +#define u16 x21 + +S2N_BN_SYMBOL(bignum_mul_p521_alt): + CFI_START + +// Save more registers and make temporary space on stack + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_PUSH2(x25,x26) + CFI_DEC_SP(64) + +// Load operands and set up row 0 = [u9;...;u0] = a0 * [b8;...;b0] + + ldp a0, a1, [x] + ldp b0, b1, [y] + + mul u0, a0, b0 + umulh u1, a0, b0 + mul t, a0, b1 + umulh u2, a0, b1 + adds u1, u1, t + + ldp b2, b3, [y, #16] + + mul t, a0, b2 + umulh u3, a0, b2 + adcs u2, u2, t + + mul t, a0, b3 + umulh u4, a0, b3 + adcs u3, u3, t + + ldp b4, b5, [y, #32] + + mul t, a0, b4 + umulh u5, a0, b4 + adcs u4, u4, t + + mul t, a0, b5 + umulh u6, a0, b5 + adcs u5, u5, t + + ldp b6, b7, [y, #48] + + mul t, a0, b6 + umulh u7, a0, b6 + adcs u6, u6, t + + ldr b8, [y, #64] + + mul t, a0, b7 + umulh u8, a0, b7 + adcs u7, u7, t + + mul t, a0, b8 + umulh u9, a0, b8 + adcs u8, u8, t + + adc u9, u9, xzr + +// Row 1 = [u10;...;u0] = [a1;a0] * [b8;...;b0] + + mul t, a1, b0 + adds u1, u1, t + mul t, a1, b1 + adcs u2, u2, t + mul t, a1, b2 + adcs u3, u3, t + mul t, a1, b3 + adcs u4, u4, t + mul t, a1, b4 + adcs u5, u5, t + mul t, a1, b5 + adcs u6, u6, t + mul t, a1, b6 + adcs u7, u7, t + mul t, a1, b7 + adcs u8, u8, t + mul t, a1, b8 + adcs u9, u9, t + cset u10, cs + + umulh t, a1, b0 + adds u2, u2, t + umulh t, a1, b1 + adcs u3, u3, t + umulh t, a1, b2 + adcs u4, u4, t + umulh t, a1, b3 + adcs u5, u5, t + umulh t, a1, b4 + adcs u6, u6, t + umulh t, a1, b5 + adcs u7, u7, t + umulh t, a1, b6 + adcs u8, u8, t + umulh t, a1, b7 + adcs u9, u9, t + umulh t, a1, b8 + adc u10, u10, t + + stp u0, u1, [sp] + +// Row 2 = [u11;...;u0] = [a2;a1;a0] * [b8;...;b0] + + ldp a2, a3, [x, #16] + + mul t, a2, b0 + adds u2, u2, t + mul t, a2, b1 + adcs u3, u3, t + mul t, a2, b2 + adcs u4, u4, t + mul t, a2, b3 + adcs u5, u5, t + mul t, a2, b4 + adcs u6, u6, t + mul t, a2, b5 + adcs u7, u7, t + mul t, a2, b6 + adcs u8, u8, t + mul t, a2, b7 + adcs u9, u9, t + mul t, a2, b8 + adcs u10, u10, t + cset u11, cs + + umulh t, a2, b0 + adds u3, u3, t + umulh t, a2, b1 + adcs u4, u4, t + umulh t, a2, b2 + adcs u5, u5, t + umulh t, a2, b3 + adcs u6, u6, t + umulh t, a2, b4 + adcs u7, u7, t + umulh t, a2, b5 + adcs u8, u8, t + umulh t, a2, b6 + adcs u9, u9, t + umulh t, a2, b7 + adcs u10, u10, t + umulh t, a2, b8 + adc u11, u11, t + +// Row 3 = [u12;...;u0] = [a3;a2;a1;a0] * [b8;...;b0] + + mul t, a3, b0 + adds u3, u3, t + mul t, a3, b1 + adcs u4, u4, t + mul t, a3, b2 + adcs u5, u5, t + mul t, a3, b3 + adcs u6, u6, t + mul t, a3, b4 + adcs u7, u7, t + mul t, a3, b5 + adcs u8, u8, t + mul t, a3, b6 + adcs u9, u9, t + mul t, a3, b7 + adcs u10, u10, t + mul t, a3, b8 + adcs u11, u11, t + cset u12, cs + + umulh t, a3, b0 + adds u4, u4, t + umulh t, a3, b1 + adcs u5, u5, t + umulh t, a3, b2 + adcs u6, u6, t + umulh t, a3, b3 + adcs u7, u7, t + umulh t, a3, b4 + adcs u8, u8, t + umulh t, a3, b5 + adcs u9, u9, t + umulh t, a3, b6 + adcs u10, u10, t + umulh t, a3, b7 + adcs u11, u11, t + umulh t, a3, b8 + adc u12, u12, t + + stp u2, u3, [sp, #16] + +// Row 4 = [u13;...;u0] = [a4;a3;a2;a1;a0] * [b8;...;b0] + + ldp a4, a5, [x, #32] + + mul t, a4, b0 + adds u4, u4, t + mul t, a4, b1 + adcs u5, u5, t + mul t, a4, b2 + adcs u6, u6, t + mul t, a4, b3 + adcs u7, u7, t + mul t, a4, b4 + adcs u8, u8, t + mul t, a4, b5 + adcs u9, u9, t + mul t, a4, b6 + adcs u10, u10, t + mul t, a4, b7 + adcs u11, u11, t + mul t, a4, b8 + adcs u12, u12, t + cset u13, cs + + umulh t, a4, b0 + adds u5, u5, t + umulh t, a4, b1 + adcs u6, u6, t + umulh t, a4, b2 + adcs u7, u7, t + umulh t, a4, b3 + adcs u8, u8, t + umulh t, a4, b4 + adcs u9, u9, t + umulh t, a4, b5 + adcs u10, u10, t + umulh t, a4, b6 + adcs u11, u11, t + umulh t, a4, b7 + adcs u12, u12, t + umulh t, a4, b8 + adc u13, u13, t + +// Row 5 = [u14;...;u0] = [a5;a4;a3;a2;a1;a0] * [b8;...;b0] + + mul t, a5, b0 + adds u5, u5, t + mul t, a5, b1 + adcs u6, u6, t + mul t, a5, b2 + adcs u7, u7, t + mul t, a5, b3 + adcs u8, u8, t + mul t, a5, b4 + adcs u9, u9, t + mul t, a5, b5 + adcs u10, u10, t + mul t, a5, b6 + adcs u11, u11, t + mul t, a5, b7 + adcs u12, u12, t + mul t, a5, b8 + adcs u13, u13, t + cset u14, cs + + umulh t, a5, b0 + adds u6, u6, t + umulh t, a5, b1 + adcs u7, u7, t + umulh t, a5, b2 + adcs u8, u8, t + umulh t, a5, b3 + adcs u9, u9, t + umulh t, a5, b4 + adcs u10, u10, t + umulh t, a5, b5 + adcs u11, u11, t + umulh t, a5, b6 + adcs u12, u12, t + umulh t, a5, b7 + adcs u13, u13, t + umulh t, a5, b8 + adc u14, u14, t + + stp u4, u5, [sp, #32] + +// Row 6 = [u15;...;u0] = [a6;a5;a4;a3;a2;a1;a0] * [b8;...;b0] + + ldp a6, a7, [x, #48] + + mul t, a6, b0 + adds u6, u6, t + mul t, a6, b1 + adcs u7, u7, t + mul t, a6, b2 + adcs u8, u8, t + mul t, a6, b3 + adcs u9, u9, t + mul t, a6, b4 + adcs u10, u10, t + mul t, a6, b5 + adcs u11, u11, t + mul t, a6, b6 + adcs u12, u12, t + mul t, a6, b7 + adcs u13, u13, t + mul t, a6, b8 + adcs u14, u14, t + cset u15, cs + + umulh t, a6, b0 + adds u7, u7, t + umulh t, a6, b1 + adcs u8, u8, t + umulh t, a6, b2 + adcs u9, u9, t + umulh t, a6, b3 + adcs u10, u10, t + umulh t, a6, b4 + adcs u11, u11, t + umulh t, a6, b5 + adcs u12, u12, t + umulh t, a6, b6 + adcs u13, u13, t + umulh t, a6, b7 + adcs u14, u14, t + umulh t, a6, b8 + adc u15, u15, t + +// Row 7 = [u16;...;u0] = [a7;a6;a5;a4;a3;a2;a1;a0] * [b8;...;b0] + + mul t, a7, b0 + adds u7, u7, t + mul t, a7, b1 + adcs u8, u8, t + mul t, a7, b2 + adcs u9, u9, t + mul t, a7, b3 + adcs u10, u10, t + mul t, a7, b4 + adcs u11, u11, t + mul t, a7, b5 + adcs u12, u12, t + mul t, a7, b6 + adcs u13, u13, t + mul t, a7, b7 + adcs u14, u14, t + mul t, a7, b8 + adcs u15, u15, t + cset u16, cs + + umulh t, a7, b0 + adds u8, u8, t + umulh t, a7, b1 + adcs u9, u9, t + umulh t, a7, b2 + adcs u10, u10, t + umulh t, a7, b3 + adcs u11, u11, t + umulh t, a7, b4 + adcs u12, u12, t + umulh t, a7, b5 + adcs u13, u13, t + umulh t, a7, b6 + adcs u14, u14, t + umulh t, a7, b7 + adcs u15, u15, t + umulh t, a7, b8 + adc u16, u16, t + + stp u6, u7, [sp, #48] + +// Row 8 = [u16;...;u0] = [a8;a7;a6;a5;a4;a3;a2;a1;a0] * [b8;...;b0] + + ldr a8, [x, #64] + + mul t, a8, b0 + adds u8, u8, t + mul t, a8, b1 + adcs u9, u9, t + mul t, a8, b2 + adcs u10, u10, t + mul t, a8, b3 + adcs u11, u11, t + mul t, a8, b4 + adcs u12, u12, t + mul t, a8, b5 + adcs u13, u13, t + mul t, a8, b6 + adcs u14, u14, t + mul t, a8, b7 + adcs u15, u15, t + mul t, a8, b8 + adc u16, u16, t + + umulh t, a8, b0 + adds u9, u9, t + umulh t, a8, b1 + adcs u10, u10, t + umulh t, a8, b2 + adcs u11, u11, t + umulh t, a8, b3 + adcs u12, u12, t + umulh t, a8, b4 + adcs u13, u13, t + umulh t, a8, b5 + adcs u14, u14, t + umulh t, a8, b6 + adcs u15, u15, t + umulh t, a8, b7 + adc u16, u16, t + +// Now we have the full product, which we consider as +// 2^521 * h + l. Form h + l + 1 + + subs xzr, xzr, xzr + ldp b0, b1, [sp] + extr t, u9, u8, #9 + adcs b0, b0, t + extr t, u10, u9, #9 + adcs b1, b1, t + ldp b2, b3, [sp, #16] + extr t, u11, u10, #9 + adcs b2, b2, t + extr t, u12, u11, #9 + adcs b3, b3, t + ldp b4, b5, [sp, #32] + extr t, u13, u12, #9 + adcs b4, b4, t + extr t, u14, u13, #9 + adcs b5, b5, t + ldp b6, b7, [sp, #48] + extr t, u15, u14, #9 + adcs b6, b6, t + extr t, u16, u15, #9 + adcs b7, b7, t + orr b8, u8, #~0x1FF + lsr t, u16, #9 + adcs b8, b8, t + +// Now CF is set if h + l + 1 >= 2^521, which means it's already +// the answer, while if ~CF the answer is h + l so we should subtract +// 1 (all considered in 521 bits). Hence subtract ~CF and mask. + + sbcs b0, b0, xzr + sbcs b1, b1, xzr + sbcs b2, b2, xzr + sbcs b3, b3, xzr + sbcs b4, b4, xzr + sbcs b5, b5, xzr + sbcs b6, b6, xzr + sbcs b7, b7, xzr + sbc b8, b8, xzr + and b8, b8, #0x1FF + +// Store back digits of final result + + stp b0, b1, [z] + stp b2, b3, [z, #16] + stp b4, b5, [z, #32] + stp b6, b7, [z, #48] + str b8, [z, #64] + +// Restore registers + + CFI_INC_SP(64) + CFI_POP2(x25,x26) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_mul_p521_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/arm/bignum_neg_p256.S b/cbits/s2n/arm/bignum_neg_p256.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/bignum_neg_p256.S @@ -0,0 +1,72 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Negate modulo p_256, z := (-x) mod p_256, assuming x reduced +// Input x[4]; output z[4] +// +// extern void bignum_neg_p256(uint64_t z[static 4], const uint64_t x[static 4]); +// +// Standard ARM ABI: X0 = z, X1 = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_neg_p256) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_neg_p256) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_neg_p256) + .text + .balign 4 + +#define z x0 +#define x x1 + +#define p x2 +#define t x3 + +#define d0 x4 +#define d1 x5 +#define d2 x6 +#define d3 x7 + + +S2N_BN_SYMBOL(bignum_neg_p256): + CFI_START + +// Load the 4 digits of x + + ldp d0, d1, [x] + ldp d2, d3, [x, #16] + +// Set a bitmask p for the input being nonzero, so that we avoid doing +// -0 = p_256 and hence maintain strict modular reduction + + orr t, d0, d1 + orr p, d2, d3 + orr p, p, t + cmp p, #0 + csetm p, ne + +// Mask the nontrivial words of p_256 = [n3;0;n1;-1] and subtract + + subs d0, p, d0 + and t, p, #0x00000000ffffffff + sbcs d1, t, d1 + sbcs d2, xzr, d2 + and t, p, #0xffffffff00000001 + sbc d3, t, d3 + +// Write back the result + + stp d0, d1, [z] + stp d2, d3, [z, #16] + +// Return + + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_neg_p256) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/arm/bignum_sqr_p521.S b/cbits/s2n/arm/bignum_sqr_p521.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/bignum_sqr_p521.S @@ -0,0 +1,1125 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Square modulo p_521, z := (x^2) mod p_521, assuming x reduced +// Input x[9]; output z[9] +// +// extern void bignum_sqr_p521(uint64_t z[static 9], const uint64_t x[static 9]); +// +// Standard ARM ABI: X0 = z, X1 = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + +// bignum_sqr_p521 is functionally equivalent to unopt/bignum_sqr_p521_base. +// It is written in a way that +// 1. A subset of scalar multiplications in bignum_montmul_p384 are carefully +// chosen and vectorized +// 2. The vectorized assembly is rescheduled using the SLOTHY superoptimizer. +// https://github.com/slothy-optimizer/slothy +// +// The output program of step 1. is as follows: +// +// stp x19, x20, [sp, #-16]! +// stp x21, x22, [sp, #-16]! +// stp x23, x24, [sp, #-16]! +// ldp x20, x19, [x1] +// ldr q23, [x1] +// ldr q1, [x1] +// ldr q16, [x1] +// ldp x14, x12, [x1, #16] +// ldr q28, [x1, #16] +// ldr q31, [x1, #16] +// ldp x9, x2, [x1, #32] +// ldr q29, [x1, #32] +// ldr q4, [x1, #32] +// ldr q5, [x1] +// ldr q2, [x1, #32] +// ldp x6, x13, [x1, #48] +// ldr q24, [x1, #48] +// ldr q27, [x1, #48] +// ldr q0, [x1, #16] +// ldr q30, [x1, #48] +// mul x17, x9, x6 +// mul x10, x2, x13 +// umulh x24, x9, x6 +// subs x4, x9, x2 +// cneg x4, x4, cc +// csetm x16, cc +// subs x3, x13, x6 +// cneg x23, x3, cc +// mul x3, x4, x23 +// umulh x4, x4, x23 +// cinv x22, x16, cc +// eor x23, x3, x22 +// eor x16, x4, x22 +// adds x3, x17, x24 +// adc x24, x24, xzr +// umulh x4, x2, x13 +// adds x3, x3, x10 +// adcs x24, x24, x4 +// adc x4, x4, xzr +// adds x24, x24, x10 +// adc x10, x4, xzr +// cmn x22, #0x1 +// adcs x4, x3, x23 +// adcs x24, x24, x16 +// adc x10, x10, x22 +// adds x8, x17, x17 +// adcs x22, x4, x4 +// adcs x5, x24, x24 +// adcs x11, x10, x10 +// adc x23, xzr, xzr +// movi v25.2D, #0xffffffff +// uzp2 v19.4S, v4.4S, v4.4S +// xtn v26.2S, v29.2D +// xtn v22.2S, v4.2D +// rev64 v4.4S, v4.4S +// umull v7.2D, v26.2S, v22.2S +// umull v21.2D, v26.2S, v19.2S +// uzp2 v17.4S, v29.4S, v29.4S +// mul v4.4S, v4.4S, v29.4S +// usra v21.2D, v7.2D, #32 +// umull v18.2D, v17.2S, v19.2S +// uaddlp v4.2D, v4.4S +// and v7.16B, v21.16B, v25.16B +// umlal v7.2D, v17.2S, v22.2S +// shl v4.2D, v4.2D, #32 +// usra v18.2D, v21.2D, #32 +// umlal v4.2D, v26.2S, v22.2S +// usra v18.2D, v7.2D, #32 +// mov x15, v4.d[0] +// mov x16, v4.d[1] +// mul x3, x9, x2 +// mov x10, v18.d[0] +// mov x17, v18.d[1] +// umulh x4, x9, x2 +// adds x24, x10, x3 +// adcs x10, x16, x4 +// adc x17, x17, xzr +// adds x7, x24, x3 +// adcs x10, x10, x4 +// adc x17, x17, xzr +// adds x8, x8, x10 +// adcs x22, x22, x17 +// adcs x21, x5, xzr +// adcs x5, x11, xzr +// adc x11, x23, xzr +// movi v25.2D, #0xffffffff +// uzp2 v19.4S, v27.4S, v27.4S +// xtn v26.2S, v24.2D +// xtn v22.2S, v27.2D +// rev64 v4.4S, v27.4S +// umull v7.2D, v26.2S, v22.2S +// umull v21.2D, v26.2S, v19.2S +// uzp2 v17.4S, v24.4S, v24.4S +// mul v4.4S, v4.4S, v24.4S +// usra v21.2D, v7.2D, #32 +// umull v18.2D, v17.2S, v19.2S +// uaddlp v4.2D, v4.4S +// and v7.16B, v21.16B, v25.16B +// umlal v7.2D, v17.2S, v22.2S +// shl v4.2D, v4.2D, #32 +// usra v18.2D, v21.2D, #32 +// umlal v4.2D, v26.2S, v22.2S +// usra v18.2D, v7.2D, #32 +// mov x23, v4.d[0] +// mov x16, v4.d[1] +// mul x3, x6, x13 +// mov x10, v18.d[0] +// mov x17, v18.d[1] +// umulh x4, x6, x13 +// adds x24, x10, x3 +// adcs x10, x16, x4 +// adc x17, x17, xzr +// adds x24, x24, x3 +// adcs x10, x10, x4 +// adc x17, x17, xzr +// adds x23, x23, x21 +// adcs x16, x24, x5 +// adcs x3, x10, x11 +// adc x21, x17, xzr +// ldr x17, [x1, #64] +// add x5, x17, x17 +// mul x11, x17, x17 +// and x17, x20, #0xfffffffffffff +// mul x4, x5, x17 +// extr x17, x19, x20, #52 +// and x17, x17, #0xfffffffffffff +// mul x10, x5, x17 +// lsr x17, x4, #52 +// add x24, x10, x17 +// lsl x17, x4, #12 +// extr x17, x24, x17, #12 +// adds x15, x15, x17 +// extr x17, x14, x19, #40 +// and x17, x17, #0xfffffffffffff +// mul x10, x5, x17 +// lsr x17, x24, #52 +// add x4, x10, x17 +// lsl x17, x24, #12 +// extr x17, x4, x17, #24 +// adcs x7, x7, x17 +// extr x17, x12, x14, #28 +// and x17, x17, #0xfffffffffffff +// mul x10, x5, x17 +// lsr x17, x4, #52 +// add x24, x10, x17 +// lsl x17, x4, #12 +// extr x17, x24, x17, #36 +// adcs x8, x8, x17 +// extr x17, x9, x12, #16 +// and x17, x17, #0xfffffffffffff +// mul x10, x5, x17 +// lsr x17, x24, #52 +// add x4, x10, x17 +// lsl x17, x24, #12 +// extr x17, x4, x17, #48 +// adcs x22, x22, x17 +// lsr x17, x9, #4 +// and x17, x17, #0xfffffffffffff +// mul x10, x5, x17 +// lsr x17, x4, #52 +// add x24, x10, x17 +// lsl x17, x4, #12 +// extr x4, x24, x17, #60 +// extr x17, x2, x9, #56 +// and x17, x17, #0xfffffffffffff +// mul x10, x5, x17 +// lsr x17, x24, #52 +// add x24, x10, x17 +// lsl x17, x4, #8 +// extr x17, x24, x17, #8 +// adcs x23, x23, x17 +// extr x17, x6, x2, #44 +// and x17, x17, #0xfffffffffffff +// mul x10, x5, x17 +// lsr x17, x24, #52 +// add x4, x10, x17 +// lsl x17, x24, #12 +// extr x17, x4, x17, #20 +// adcs x16, x16, x17 +// extr x17, x13, x6, #32 +// and x17, x17, #0xfffffffffffff +// mul x10, x5, x17 +// lsr x17, x4, #52 +// add x24, x10, x17 +// lsl x17, x4, #12 +// extr x17, x24, x17, #32 +// adcs x3, x3, x17 +// lsr x17, x13, #20 +// mul x10, x5, x17 +// lsr x17, x24, #52 +// add x10, x10, x17 +// lsl x17, x24, #12 +// extr x17, x10, x17, #44 +// adcs x4, x21, x17 +// lsr x17, x10, #44 +// adc x24, x11, x17 +// extr x10, x7, x15, #9 +// extr x17, x8, x7, #9 +// stp x10, x17, [x0] // @slothy:writes=buffer0 +// extr x10, x22, x8, #9 +// extr x17, x23, x22, #9 +// stp x10, x17, [x0, #16] // @slothy:writes=buffer16 +// extr x10, x16, x23, #9 +// extr x17, x3, x16, #9 +// stp x10, x17, [x0, #32] // @slothy:writes=buffer32 +// extr x10, x4, x3, #9 +// extr x17, x24, x4, #9 +// stp x10, x17, [x0, #48] // @slothy:writes=buffer48 +// and x10, x15, #0x1ff +// lsr x17, x24, #9 +// add x17, x10, x17 +// str x17, [x0, #64] // @slothy:writes=buffer64 +// uzp1 v17.4S, v28.4S, v23.4S +// rev64 v4.4S, v28.4S +// uzp1 v7.4S, v23.4S, v23.4S +// mul v4.4S, v4.4S, v23.4S +// uaddlp v4.2D, v4.4S +// shl v4.2D, v4.2D, #32 +// umlal v4.2D, v7.2S, v17.2S +// mov x8, v4.d[0] +// mov x22, v4.d[1] +// umulh x23, x20, x14 +// subs x17, x20, x19 +// cneg x4, x17, cc +// csetm x24, cc +// subs x17, x12, x14 +// cneg x17, x17, cc +// mul x10, x4, x17 +// umulh x17, x4, x17 +// cinv x16, x24, cc +// eor x3, x10, x16 +// eor x4, x17, x16 +// adds x24, x8, x23 +// adc x10, x23, xzr +// umulh x17, x19, x12 +// adds x24, x24, x22 +// adcs x10, x10, x17 +// adc x17, x17, xzr +// adds x10, x10, x22 +// adc x17, x17, xzr +// cmn x16, #0x1 +// adcs x24, x24, x3 +// adcs x10, x10, x4 +// adc x17, x17, x16 +// adds x15, x8, x8 +// adcs x7, x24, x24 +// adcs x8, x10, x10 +// adcs x22, x17, x17 +// adc x23, xzr, xzr +// movi v25.2D, #0xffffffff +// uzp2 v19.4S, v16.4S, v16.4S +// xtn v26.2S, v1.2D +// xtn v22.2S, v16.2D +// rev64 v4.4S, v16.4S +// umull v7.2D, v26.2S, v22.2S +// umull v21.2D, v26.2S, v19.2S +// uzp2 v17.4S, v1.4S, v1.4S +// mul v4.4S, v4.4S, v1.4S +// usra v21.2D, v7.2D, #32 +// umull v18.2D, v17.2S, v19.2S +// uaddlp v4.2D, v4.4S +// and v7.16B, v21.16B, v25.16B +// umlal v7.2D, v17.2S, v22.2S +// shl v4.2D, v4.2D, #32 +// usra v18.2D, v21.2D, #32 +// umlal v4.2D, v26.2S, v22.2S +// usra v18.2D, v7.2D, #32 +// mov x21, v4.d[0] +// mov x16, v4.d[1] +// mul x3, x20, x19 +// mov x10, v18.d[0] +// mov x17, v18.d[1] +// umulh x4, x20, x19 +// adds x24, x10, x3 +// adcs x10, x16, x4 +// adc x17, x17, xzr +// adds x5, x24, x3 +// adcs x10, x10, x4 +// adc x17, x17, xzr +// adds x11, x15, x10 +// adcs x15, x7, x17 +// adcs x7, x8, xzr +// adcs x8, x22, xzr +// adc x22, x23, xzr +// xtn v7.2S, v31.2D +// shrn v4.2S, v31.2D, #32 +// umull v4.2D, v7.2S, v4.2S +// shl v4.2D, v4.2D, #33 +// umlal v4.2D, v7.2S, v7.2S +// mov x23, v4.d[0] +// mov x16, v4.d[1] +// mul x3, x14, x12 +// umulh x10, x14, x14 +// umulh x17, x12, x12 +// umulh x4, x14, x12 +// adds x24, x10, x3 +// adcs x10, x16, x4 +// adc x17, x17, xzr +// adds x24, x24, x3 +// adcs x10, x10, x4 +// adc x17, x17, xzr +// adds x16, x23, x7 +// adcs x3, x24, x8 +// adcs x4, x10, x22 +// adc x24, x17, xzr +// ldp x10, x17, [x0] // @slothy:reads=buffer0 +// adds x10, x10, x21 +// adcs x17, x17, x5 +// stp x10, x17, [x0] // @slothy:writes=buffer0 +// ldp x10, x17, [x0, #16] // @slothy:reads=buffer16 +// adcs x10, x10, x11 +// adcs x17, x17, x15 +// stp x10, x17, [x0, #16] // @slothy:writes=buffer16 +// ldp x10, x17, [x0, #32] // @slothy:reads=buffer32 +// adcs x10, x10, x16 +// adcs x17, x17, x3 +// stp x10, x17, [x0, #32] // @slothy:writes=buffer32 +// ldp x10, x17, [x0, #48] // @slothy:reads=buffer48 +// adcs x10, x10, x4 +// adcs x17, x17, x24 +// stp x10, x17, [x0, #48] // @slothy:writes=buffer48 +// ldr x17, [x0, #64] // @slothy:reads=buffer64 +// adc x17, x17, xzr +// str x17, [x0, #64] // @slothy:writes=buffer64 +// movi v25.2D, #0xffffffff +// uzp2 v19.4S, v2.4S, v2.4S +// xtn v26.2S, v5.2D +// xtn v22.2S, v2.2D +// rev64 v4.4S, v2.4S +// umull v7.2D, v26.2S, v22.2S +// umull v21.2D, v26.2S, v19.2S +// uzp2 v17.4S, v5.4S, v5.4S +// mul v4.4S, v4.4S, v5.4S +// usra v21.2D, v7.2D, #32 +// umull v18.2D, v17.2S, v19.2S +// uaddlp v4.2D, v4.4S +// and v7.16B, v21.16B, v25.16B +// umlal v7.2D, v17.2S, v22.2S +// shl v4.2D, v4.2D, #32 +// usra v18.2D, v21.2D, #32 +// umlal v4.2D, v26.2S, v22.2S +// usra v18.2D, v7.2D, #32 +// mov x5, v4.d[0] +// mov x4, v4.d[1] +// movi v25.2D, #0xffffffff +// uzp2 v17.4S, v30.4S, v30.4S +// xtn v19.2S, v0.2D +// xtn v26.2S, v30.2D +// rev64 v4.4S, v30.4S +// umull v7.2D, v19.2S, v26.2S +// umull v22.2D, v19.2S, v17.2S +// uzp2 v21.4S, v0.4S, v0.4S +// mul v4.4S, v4.4S, v0.4S +// usra v22.2D, v7.2D, #32 +// umull v17.2D, v21.2S, v17.2S +// uaddlp v4.2D, v4.4S +// and v7.16B, v22.16B, v25.16B +// umlal v7.2D, v21.2S, v26.2S +// shl v4.2D, v4.2D, #32 +// usra v17.2D, v22.2D, #32 +// umlal v4.2D, v19.2S, v26.2S +// usra v17.2D, v7.2D, #32 +// mov x24, v4.d[0] +// mov x10, v4.d[1] +// mov x17, v18.d[0] +// adds x4, x4, x17 +// mov x17, v18.d[1] +// adcs x24, x24, x17 +// mov x17, v17.d[0] +// adcs x10, x10, x17 +// mov x17, v17.d[1] +// adc x17, x17, xzr +// adds x15, x4, x5 +// adcs x4, x24, x4 +// adcs x24, x10, x24 +// adcs x10, x17, x10 +// adc x17, xzr, x17 +// adds x7, x4, x5 +// adcs x8, x24, x15 +// adcs x22, x10, x4 +// adcs x23, x17, x24 +// adcs x16, xzr, x10 +// adc x3, xzr, x17 +// subs x17, x14, x12 +// cneg x24, x17, cc +// csetm x4, cc +// subs x17, x13, x6 +// cneg x10, x17, cc +// mul x17, x24, x10 +// umulh x24, x24, x10 +// cinv x10, x4, cc +// cmn x10, #0x1 +// eor x17, x17, x10 +// adcs x23, x23, x17 +// eor x17, x24, x10 +// adcs x16, x16, x17 +// adc x3, x3, x10 +// subs x17, x20, x19 +// cneg x24, x17, cc +// csetm x4, cc +// subs x17, x2, x9 +// cneg x10, x17, cc +// mul x17, x24, x10 +// umulh x24, x24, x10 +// cinv x10, x4, cc +// cmn x10, #0x1 +// eor x17, x17, x10 +// adcs x11, x15, x17 +// eor x17, x24, x10 +// adcs x15, x7, x17 +// adcs x7, x8, x10 +// adcs x22, x22, x10 +// adcs x23, x23, x10 +// adcs x16, x16, x10 +// adc x3, x3, x10 +// subs x17, x19, x12 +// cneg x24, x17, cc +// csetm x4, cc +// subs x17, x13, x2 +// cneg x10, x17, cc +// mul x17, x24, x10 +// umulh x24, x24, x10 +// cinv x10, x4, cc +// cmn x10, #0x1 +// eor x17, x17, x10 +// adcs x8, x22, x17 +// eor x17, x24, x10 +// adcs x23, x23, x17 +// adcs x16, x16, x10 +// adc x3, x3, x10 +// subs x17, x20, x14 +// cneg x24, x17, cc +// csetm x4, cc +// subs x17, x6, x9 +// cneg x10, x17, cc +// mul x17, x24, x10 +// umulh x24, x24, x10 +// cinv x10, x4, cc +// cmn x10, #0x1 +// eor x17, x17, x10 +// adcs x22, x15, x17 +// eor x17, x24, x10 +// adcs x4, x7, x17 +// adcs x24, x8, x10 +// adcs x23, x23, x10 +// adcs x16, x16, x10 +// adc x3, x3, x10 +// subs x12, x20, x12 +// cneg x10, x12, cc +// csetm x17, cc +// subs x12, x13, x9 +// cneg x9, x12, cc +// mul x12, x10, x9 +// umulh x13, x10, x9 +// cinv x9, x17, cc +// cmn x9, #0x1 +// eor x12, x12, x9 +// adcs x4, x4, x12 +// eor x12, x13, x9 +// adcs x24, x24, x12 +// adcs x10, x23, x9 +// adcs x17, x16, x9 +// adc x13, x3, x9 +// subs x19, x19, x14 +// cneg x12, x19, cc +// csetm x9, cc +// subs x6, x6, x2 +// cneg x14, x6, cc +// mul x19, x12, x14 +// umulh x12, x12, x14 +// cinv x14, x9, cc +// cmn x14, #0x1 +// eor x19, x19, x14 +// adcs x23, x4, x19 +// eor x19, x12, x14 +// adcs x16, x24, x19 +// adcs x6, x10, x14 +// adcs x2, x17, x14 +// adc x9, x13, x14 +// ldp x12, x14, [x0] // @slothy:reads=buffer0 +// extr x19, x6, x16, #8 +// adds x10, x19, x12 +// extr x19, x2, x6, #8 +// adcs x17, x19, x14 +// ldp x14, x12, [x0, #16] // @slothy:reads=buffer16 +// extr x19, x9, x2, #8 +// adcs x13, x19, x14 +// and x14, x17, x13 +// lsr x19, x9, #8 +// adcs x6, x19, x12 +// and x9, x14, x6 +// ldp x14, x12, [x0, #32] // @slothy:reads=buffer32 +// lsl x19, x5, #1 +// adcs x2, x19, x14 +// and x14, x9, x2 +// extr x19, x11, x5, #63 +// adcs x3, x19, x12 +// and x9, x14, x3 +// ldp x14, x12, [x0, #48] // @slothy:reads=buffer48 +// extr x19, x22, x11, #63 +// adcs x4, x19, x14 +// and x14, x9, x4 +// extr x19, x23, x22, #63 +// adcs x24, x19, x12 +// and x12, x14, x24 +// ldr x14, [x0, #64] // @slothy:reads=buffer64 +// extr x19, x16, x23, #63 +// and x19, x19, #0x1ff +// adc x19, x14, x19 +// lsr x14, x19, #9 +// orr x19, x19, #0xfffffffffffffe00 +// cmp xzr, xzr +// adcs xzr, x10, x14 +// adcs xzr, x12, xzr +// adcs xzr, x19, xzr +// adcs x10, x10, x14 +// adcs x17, x17, xzr +// adcs x13, x13, xzr +// adcs x6, x6, xzr +// adcs x2, x2, xzr +// adcs x9, x3, xzr +// adcs x12, x4, xzr +// adcs x14, x24, xzr +// adc x19, x19, xzr +// and x19, x19, #0x1ff +// stp x10, x17, [x0] // @slothy:writes=buffer0 +// stp x13, x6, [x0, #16] // @slothy:writes=buffer16 +// stp x2, x9, [x0, #32] // @slothy:writes=buffer32 +// stp x12, x14, [x0, #48] // @slothy:writes=buffer48 +// str x19, [x0, #64] // @slothy:writes=buffer64 +// ldp x23, x24, [sp], #16 +// ldp x21, x22, [sp], #16 +// ldp x19, x20, [sp], #16 +// ret +// +// The bash script used for step 2 is as follows: +// +// # Store the assembly instructions except the last 'ret', +// # callee-register store/loads as, say, 'input.S'. +// export OUTPUTS="[hint_buffer0,hint_buffer16,hint_buffer32,hint_buffer48,hint_buffer64]" +// export RESERVED_REGS="[x18,x25,x26,x27,x28,x29,x30,sp,q8,q9,q10,q11,q12,q13,q14,q15,v8,v9,v10,v11,v12,v13,v14,v15]" +// /tools/external/slothy.sh input.S my_out_dir +// # my_out_dir/3.opt.s is the optimized assembly. Its output may differ +// # from this file since the sequence is non-deterministically chosen. +// # Please add 'ret' at the end of the output assembly. + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_sqr_p521) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_sqr_p521) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_sqr_p521) + .text + .balign 4 + +S2N_BN_SYMBOL(bignum_sqr_p521): + CFI_START + +// Save registers + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + + ldr q23, [x1, #32] + ldp x9, x2, [x1, #32] + ldr q16, [x1, #32] + ldr q20, [x1, #48] + ldp x6, x13, [x1, #48] + rev64 v2.4S, v23.4S + mul x14, x9, x2 + ldr q31, [x1, #48] + subs x22, x9, x2 + uzp2 v26.4S, v23.4S, v23.4S + mul v30.4S, v2.4S, v16.4S + xtn v0.2S, v20.2D + csetm x12, cc + xtn v21.2S, v16.2D + xtn v23.2S, v23.2D + umulh x10, x9, x6 + rev64 v27.4S, v31.4S + umull v2.2D, v21.2S, v26.2S + cneg x23, x22, cc + uaddlp v25.2D, v30.4S + umull v18.2D, v21.2S, v23.2S + mul x22, x9, x6 + mul v6.4S, v27.4S, v20.4S + uzp2 v17.4S, v20.4S, v20.4S + shl v20.2D, v25.2D, #32 + uzp2 v27.4S, v31.4S, v31.4S + mul x16, x2, x13 + umlal v20.2D, v21.2S, v23.2S + usra v2.2D, v18.2D, #32 + adds x8, x22, x10 + umull v25.2D, v17.2S, v27.2S + xtn v31.2S, v31.2D + movi v1.2D, #0xffffffff + adc x3, x10, xzr + umulh x21, x2, x13 + uzp2 v21.4S, v16.4S, v16.4S + umull v18.2D, v0.2S, v27.2S + subs x19, x13, x6 + and v7.16B, v2.16B, v1.16B + umull v27.2D, v0.2S, v31.2S + cneg x20, x19, cc + movi v30.2D, #0xffffffff + umull v16.2D, v21.2S, v26.2S + umlal v7.2D, v21.2S, v23.2S + mul x19, x23, x20 + cinv x7, x12, cc + uaddlp v6.2D, v6.4S + eor x12, x19, x7 + adds x11, x8, x16 + umulh x10, x23, x20 + ldr q1, [x1] + usra v16.2D, v2.2D, #32 + adcs x19, x3, x21 + shl v2.2D, v6.2D, #32 + adc x20, x21, xzr + adds x17, x19, x16 + usra v18.2D, v27.2D, #32 + adc x19, x20, xzr + cmn x7, #0x1 + umlal v2.2D, v0.2S, v31.2S + umulh x16, x9, x2 + adcs x8, x11, x12 + usra v16.2D, v7.2D, #32 + ldr x12, [x1, #64] + eor x20, x10, x7 + umulh x10, x6, x13 + mov x23, v2.d[0] + mov x3, v2.d[1] + adcs x21, x17, x20 + usra v25.2D, v18.2D, #32 + and v23.16B, v18.16B, v30.16B + adc x7, x19, x7 + adds x22, x22, x22 + ldr q7, [x1, #16] + adcs x17, x8, x8 + umlal v23.2D, v17.2S, v31.2S + mov x19, v16.d[0] + mul x11, x12, x12 + ldr q4, [x1] + usra v25.2D, v23.2D, #32 + add x5, x12, x12 + adcs x15, x21, x21 + ldr q28, [x1] + mov x12, v20.d[1] + adcs x24, x7, x7 + mov x21, v16.d[1] + adc x4, xzr, xzr + adds x19, x19, x14 + ldr q18, [x1, #16] + xtn v26.2S, v1.2D + adcs x8, x12, x16 + adc x21, x21, xzr + adds x7, x19, x14 + xtn v23.2S, v7.2D + rev64 v21.4S, v28.4S + adcs x12, x8, x16 + ldp x20, x19, [x1] + mov x16, v25.d[1] + xtn v22.2S, v28.2D + adc x14, x21, xzr + adds x8, x22, x12 + uzp2 v24.4S, v28.4S, v28.4S + rev64 v28.4S, v18.4S + mul x12, x6, x13 + mul v16.4S, v21.4S, v1.4S + shrn v31.2S, v7.2D, #32 + adcs x22, x17, x14 + mov x14, v25.d[0] + and x21, x20, #0xfffffffffffff + umull v17.2D, v26.2S, v24.2S + ldr q2, [x1, #32] + adcs x17, x15, xzr + ldr q30, [x1, #48] + umull v7.2D, v26.2S, v22.2S + adcs x15, x24, xzr + ldr q0, [x1, #16] + movi v6.2D, #0xffffffff + adc x4, x4, xzr + adds x14, x14, x12 + uzp1 v27.4S, v18.4S, v4.4S + uzp2 v19.4S, v1.4S, v1.4S + adcs x24, x3, x10 + mul x3, x5, x21 + umull v29.2D, v23.2S, v31.2S + ldr q5, [x1] + adc x21, x16, xzr + adds x16, x14, x12 + extr x12, x19, x20, #52 + umull v18.2D, v19.2S, v24.2S + adcs x24, x24, x10 + and x10, x12, #0xfffffffffffff + ldp x14, x12, [x1, #16] + usra v17.2D, v7.2D, #32 + adc x21, x21, xzr + adds x23, x23, x17 + mul x17, x5, x10 + shl v21.2D, v29.2D, #33 + lsl x10, x3, #12 + lsr x1, x3, #52 + rev64 v29.4S, v2.4S + uaddlp v25.2D, v16.4S + add x17, x17, x1 + adcs x16, x16, x15 + extr x3, x14, x19, #40 + mov x15, v20.d[0] + extr x10, x17, x10, #12 + and x3, x3, #0xfffffffffffff + shl v3.2D, v25.2D, #32 + and v6.16B, v17.16B, v6.16B + mul x1, x5, x3 + usra v18.2D, v17.2D, #32 + adcs x3, x24, x4 + extr x4, x12, x14, #28 + umlal v6.2D, v19.2S, v22.2S + xtn v20.2S, v2.2D + umlal v3.2D, v26.2S, v22.2S + movi v26.2D, #0xffffffff + lsr x24, x17, #52 + and x4, x4, #0xfffffffffffff + uzp2 v19.4S, v2.4S, v2.4S + add x1, x1, x24 + mul x24, x5, x4 + lsl x4, x17, #12 + xtn v24.2S, v5.2D + extr x17, x1, x4, #24 + adc x21, x21, xzr + umlal v21.2D, v23.2S, v23.2S + adds x4, x15, x10 + lsl x10, x1, #12 + adcs x15, x7, x17 + mul v23.4S, v28.4S, v4.4S + and x7, x4, #0x1ff + lsr x17, x1, #52 + umulh x1, x19, x12 + uzp2 v17.4S, v5.4S, v5.4S + extr x4, x15, x4, #9 + add x24, x24, x17 + mul v29.4S, v29.4S, v5.4S + extr x17, x24, x10, #36 + extr x10, x9, x12, #16 + uzp1 v28.4S, v4.4S, v4.4S + adcs x17, x8, x17 + and x8, x10, #0xfffffffffffff + umull v16.2D, v24.2S, v20.2S + extr x10, x17, x15, #9 + mul x15, x5, x8 + stp x4, x10, [x0] + lsl x4, x24, #12 + lsr x8, x9, #4 + uaddlp v4.2D, v23.4S + and x8, x8, #0xfffffffffffff + umull v23.2D, v24.2S, v19.2S + mul x8, x5, x8 + extr x10, x2, x9, #56 + lsr x24, x24, #52 + and x10, x10, #0xfffffffffffff + add x15, x15, x24 + extr x4, x15, x4, #48 + mul x24, x5, x10 + lsr x10, x15, #52 + usra v23.2D, v16.2D, #32 + add x10, x8, x10 + shl v4.2D, v4.2D, #32 + adcs x22, x22, x4 + extr x4, x6, x2, #44 + lsl x15, x15, #12 + lsr x8, x10, #52 + extr x15, x10, x15, #60 + and x10, x4, #0xfffffffffffff + umlal v4.2D, v28.2S, v27.2S + add x8, x24, x8 + extr x4, x13, x6, #32 + mul x24, x5, x10 + uzp2 v16.4S, v30.4S, v30.4S + lsl x10, x15, #8 + rev64 v28.4S, v30.4S + and x15, x4, #0xfffffffffffff + extr x4, x8, x10, #8 + mul x10, x5, x15 + lsl x15, x8, #12 + adcs x23, x23, x4 + lsr x4, x8, #52 + lsr x8, x13, #20 + add x4, x24, x4 + mul x8, x5, x8 + lsr x24, x4, #52 + extr x15, x4, x15, #20 + lsl x4, x4, #12 + add x10, x10, x24 + adcs x15, x16, x15 + extr x4, x10, x4, #32 + umulh x5, x20, x14 + adcs x3, x3, x4 + usra v18.2D, v6.2D, #32 + lsl x16, x10, #12 + extr x24, x15, x23, #9 + lsr x10, x10, #52 + uzp2 v27.4S, v0.4S, v0.4S + add x8, x8, x10 + extr x10, x3, x15, #9 + extr x4, x22, x17, #9 + and v25.16B, v23.16B, v26.16B + lsr x17, x8, #44 + extr x15, x8, x16, #44 + extr x16, x23, x22, #9 + xtn v7.2S, v30.2D + mov x8, v4.d[0] + stp x24, x10, [x0, #32] + uaddlp v30.2D, v29.4S + stp x4, x16, [x0, #16] + umulh x24, x20, x19 + adcs x15, x21, x15 + adc x16, x11, x17 + subs x11, x20, x19 + xtn v5.2S, v0.2D + csetm x17, cc + extr x3, x15, x3, #9 + mov x22, v4.d[1] + cneg x21, x11, cc + subs x10, x12, x14 + mul v31.4S, v28.4S, v0.4S + cneg x10, x10, cc + cinv x11, x17, cc + shl v4.2D, v30.2D, #32 + umull v28.2D, v5.2S, v16.2S + extr x23, x16, x15, #9 + adds x4, x8, x5 + mul x17, x21, x10 + umull v22.2D, v5.2S, v7.2S + adc x15, x5, xzr + adds x4, x4, x22 + uaddlp v2.2D, v31.4S + lsr x5, x16, #9 + adcs x16, x15, x1 + mov x15, v18.d[0] + adc x1, x1, xzr + umulh x10, x21, x10 + adds x22, x16, x22 + umlal v4.2D, v24.2S, v20.2S + umull v30.2D, v27.2S, v16.2S + stp x3, x23, [x0, #48] + add x3, x7, x5 + adc x16, x1, xzr + usra v28.2D, v22.2D, #32 + mul x23, x20, x19 + eor x1, x17, x11 + cmn x11, #0x1 + mov x17, v18.d[1] + umull v18.2D, v17.2S, v19.2S + adcs x7, x4, x1 + eor x1, x10, x11 + umlal v25.2D, v17.2S, v20.2S + movi v16.2D, #0xffffffff + adcs x22, x22, x1 + usra v18.2D, v23.2D, #32 + umulh x4, x14, x14 + adc x1, x16, x11 + adds x10, x8, x8 + shl v23.2D, v2.2D, #32 + str x3, [x0, #64] + adcs x5, x7, x7 + and v16.16B, v28.16B, v16.16B + usra v30.2D, v28.2D, #32 + adcs x7, x22, x22 + mov x21, v3.d[1] + adcs x11, x1, x1 + umlal v16.2D, v27.2S, v7.2S + adc x22, xzr, xzr + adds x16, x15, x23 + mul x8, x14, x12 + umlal v23.2D, v5.2S, v7.2S + usra v18.2D, v25.2D, #32 + umulh x15, x14, x12 + adcs x21, x21, x24 + usra v30.2D, v16.2D, #32 + adc x1, x17, xzr + adds x3, x16, x23 + adcs x21, x21, x24 + adc x1, x1, xzr + adds x24, x10, x21 + umulh x21, x12, x12 + adcs x16, x5, x1 + adcs x10, x7, xzr + mov x17, v21.d[1] + adcs x23, x11, xzr + adc x5, x22, xzr + adds x1, x4, x8 + adcs x22, x17, x15 + ldp x17, x4, [x0] + mov x11, v21.d[0] + adc x21, x21, xzr + adds x1, x1, x8 + adcs x15, x22, x15 + adc x8, x21, xzr + adds x22, x11, x10 + mov x21, v3.d[0] + adcs x11, x1, x23 + ldp x1, x10, [x0, #16] + adcs x15, x15, x5 + adc x7, x8, xzr + adds x8, x17, x21 + mov x23, v4.d[1] + ldp x5, x21, [x0, #32] + adcs x17, x4, x3 + ldr x4, [x0, #64] + mov x3, v18.d[0] + adcs x24, x1, x24 + stp x8, x17, [x0] + adcs x17, x10, x16 + ldp x1, x16, [x0, #48] + adcs x5, x5, x22 + adcs x8, x21, x11 + stp x5, x8, [x0, #32] + adcs x1, x1, x15 + mov x15, v23.d[1] + adcs x21, x16, x7 + stp x1, x21, [x0, #48] + adc x10, x4, xzr + subs x7, x14, x12 + mov x16, v18.d[1] + cneg x5, x7, cc + csetm x4, cc + subs x11, x13, x6 + mov x8, v23.d[0] + cneg x7, x11, cc + cinv x21, x4, cc + mov x11, v30.d[0] + adds x4, x23, x3 + mul x22, x5, x7 + mov x23, v30.d[1] + adcs x8, x8, x16 + adcs x16, x15, x11 + adc x11, x23, xzr + umulh x3, x5, x7 + stp x24, x17, [x0, #16] + mov x5, v4.d[0] + subs x15, x20, x19 + cneg x7, x15, cc + str x10, [x0, #64] + csetm x1, cc + subs x24, x2, x9 + cneg x17, x24, cc + cinv x15, x1, cc + adds x23, x4, x5 + umulh x1, x7, x17 + adcs x24, x8, x4 + adcs x10, x16, x8 + eor x8, x22, x21 + adcs x16, x11, x16 + mul x22, x7, x17 + eor x17, x1, x15 + adc x1, xzr, x11 + adds x11, x24, x5 + eor x7, x3, x21 + adcs x3, x10, x23 + adcs x24, x16, x24 + adcs x4, x1, x10 + eor x10, x22, x15 + adcs x16, xzr, x16 + adc x1, xzr, x1 + cmn x21, #0x1 + adcs x8, x4, x8 + adcs x22, x16, x7 + adc x7, x1, x21 + subs x21, x19, x12 + csetm x4, cc + cneg x1, x21, cc + subs x21, x13, x2 + cinv x16, x4, cc + cneg x4, x21, cc + cmn x15, #0x1 + adcs x21, x23, x10 + mul x23, x1, x4 + adcs x11, x11, x17 + adcs x3, x3, x15 + umulh x1, x1, x4 + adcs x24, x24, x15 + adcs x8, x8, x15 + adcs x22, x22, x15 + eor x17, x23, x16 + adc x15, x7, x15 + subs x7, x20, x14 + cneg x7, x7, cc + csetm x4, cc + subs x10, x20, x12 + cneg x23, x10, cc + csetm x10, cc + subs x12, x6, x9 + cinv x20, x4, cc + cneg x12, x12, cc + cmn x16, #0x1 + eor x1, x1, x16 + adcs x17, x24, x17 + mul x4, x7, x12 + adcs x8, x8, x1 + umulh x1, x7, x12 + adcs x24, x22, x16 + adc x7, x15, x16 + subs x12, x13, x9 + cneg x12, x12, cc + cinv x13, x10, cc + subs x19, x19, x14 + mul x9, x23, x12 + cneg x19, x19, cc + csetm x10, cc + eor x16, x1, x20 + subs x22, x6, x2 + umulh x12, x23, x12 + eor x1, x4, x20 + cinv x4, x10, cc + cneg x22, x22, cc + cmn x20, #0x1 + adcs x15, x11, x1 + eor x6, x12, x13 + adcs x10, x3, x16 + adcs x17, x17, x20 + eor x23, x9, x13 + adcs x2, x8, x20 + mul x11, x19, x22 + adcs x24, x24, x20 + adc x7, x7, x20 + cmn x13, #0x1 + adcs x3, x10, x23 + umulh x22, x19, x22 + adcs x17, x17, x6 + eor x12, x22, x4 + extr x22, x15, x21, #63 + adcs x8, x2, x13 + extr x21, x21, x5, #63 + ldp x16, x23, [x0] + adcs x20, x24, x13 + eor x1, x11, x4 + adc x6, x7, x13 + cmn x4, #0x1 + ldp x2, x7, [x0, #16] + adcs x1, x3, x1 + extr x19, x1, x15, #63 + adcs x14, x17, x12 + extr x1, x14, x1, #63 + lsl x17, x5, #1 + adcs x8, x8, x4 + extr x12, x8, x14, #8 + ldp x15, x11, [x0, #32] + adcs x9, x20, x4 + adc x3, x6, x4 + adds x16, x12, x16 + extr x6, x9, x8, #8 + ldp x14, x12, [x0, #48] + extr x8, x3, x9, #8 + adcs x20, x6, x23 + ldr x24, [x0, #64] + lsr x6, x3, #8 + adcs x8, x8, x2 + and x2, x1, #0x1ff + and x1, x20, x8 + adcs x4, x6, x7 + adcs x3, x17, x15 + and x1, x1, x4 + adcs x9, x21, x11 + and x1, x1, x3 + adcs x6, x22, x14 + and x1, x1, x9 + and x21, x1, x6 + adcs x14, x19, x12 + adc x1, x24, x2 + cmp xzr, xzr + orr x12, x1, #0xfffffffffffffe00 + lsr x1, x1, #9 + adcs xzr, x16, x1 + and x21, x21, x14 + adcs xzr, x21, xzr + adcs xzr, x12, xzr + adcs x21, x16, x1 + adcs x1, x20, xzr + adcs x19, x8, xzr + stp x21, x1, [x0] + adcs x1, x4, xzr + adcs x21, x3, xzr + stp x19, x1, [x0, #16] + adcs x1, x9, xzr + stp x21, x1, [x0, #32] + adcs x21, x6, xzr + adcs x1, x14, xzr + stp x21, x1, [x0, #48] + adc x1, x12, xzr + and x1, x1, #0x1ff + str x1, [x0, #64] + +// Restore regs and return + + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_sqr_p521) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/arm/bignum_sqr_p521_alt.S b/cbits/s2n/arm/bignum_sqr_p521_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/bignum_sqr_p521_alt.S @@ -0,0 +1,374 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Square modulo p_521, z := (x^2) mod p_521, assuming x reduced +// Input x[9]; output z[9] +// +// extern void bignum_sqr_p521_alt(uint64_t z[static 9], +// const uint64_t x[static 9]); +// +// Standard ARM ABI: X0 = z, X1 = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_sqr_p521_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_sqr_p521_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_sqr_p521_alt) + .text + .balign 4 + +#define z x0 +#define x x1 + +#define a0 x2 +#define a1 x3 +#define a2 x4 +#define a3 x5 +#define a4 x6 +#define a5 x7 +#define a6 x8 +#define a7 x9 +#define a8 x1 // Overwrites input argument at last load + +#define l x10 + +#define u0 x2 // The same as a0 +#define u1 x11 +#define u2 x12 +#define u3 x13 +#define u4 x14 +#define u5 x15 +#define u6 x16 +#define u7 x17 +#define u8 x19 +#define u9 x20 +#define u10 x21 +#define u11 x22 +#define u12 x23 +#define u13 x24 +#define u14 x25 +#define u15 x26 +#define u16 x4 // The same as a2 + +S2N_BN_SYMBOL(bignum_sqr_p521_alt): + CFI_START + +// It's convenient to have more registers to play with + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_PUSH2(x25,x26) + +// Load low 8 elements as [a7;a6;a5;a4;a3;a2;a1;a0], set up an initial +// window [u8;u7;u6;u5;u4;u3;u2;u1] = 10 + 20 + 30 + 40 + 50 + 60 + 70 + + ldp a0, a1, [x] + + mul u1, a0, a1 + umulh u2, a0, a1 + + ldp a2, a3, [x, #16] + + mul l, a0, a2 + umulh u3, a0, a2 + adds u2, u2, l + + ldp a4, a5, [x, #32] + + mul l, a0, a3 + umulh u4, a0, a3 + adcs u3, u3, l + + ldp a6, a7, [x, #48] + + mul l, a0, a4 + umulh u5, a0, a4 + adcs u4, u4, l + + mul l, a0, a5 + umulh u6, a0, a5 + adcs u5, u5, l + + mul l, a0, a6 + umulh u7, a0, a6 + adcs u6, u6, l + + mul l, a0, a7 + umulh u8, a0, a7 + adcs u7, u7, l + + adc u8, u8, xzr + +// Add in the next diagonal = 21 + 31 + 41 + 51 + 61 + 71 + 54 + + mul l, a1, a2 + adds u3, u3, l + mul l, a1, a3 + adcs u4, u4, l + mul l, a1, a4 + adcs u5, u5, l + mul l, a1, a5 + adcs u6, u6, l + mul l, a1, a6 + adcs u7, u7, l + mul l, a1, a7 + adcs u8, u8, l + cset u9, cs + + umulh l, a1, a2 + adds u4, u4, l + umulh l, a1, a3 + adcs u5, u5, l + umulh l, a1, a4 + adcs u6, u6, l + umulh l, a1, a5 + adcs u7, u7, l + umulh l, a1, a6 + adcs u8, u8, l + umulh l, a1, a7 + adc u9, u9, l + mul l, a4, a5 + umulh u10, a4, a5 + adds u9, u9, l + adc u10, u10, xzr + +// And the next one = 32 + 42 + 52 + 62 + 72 + 64 + 65 + + mul l, a2, a3 + adds u5, u5, l + mul l, a2, a4 + adcs u6, u6, l + mul l, a2, a5 + adcs u7, u7, l + mul l, a2, a6 + adcs u8, u8, l + mul l, a2, a7 + adcs u9, u9, l + mul l, a4, a6 + adcs u10, u10, l + cset u11, cs + + umulh l, a2, a3 + adds u6, u6, l + umulh l, a2, a4 + adcs u7, u7, l + umulh l, a2, a5 + adcs u8, u8, l + umulh l, a2, a6 + adcs u9, u9, l + umulh l, a2, a7 + adcs u10, u10, l + umulh l, a4, a6 + adc u11, u11, l + mul l, a5, a6 + umulh u12, a5, a6 + adds u11, u11, l + adc u12, u12, xzr + +// And the final one = 43 + 53 + 63 + 73 + 74 + 75 + 76 + + mul l, a3, a4 + adds u7, u7, l + mul l, a3, a5 + adcs u8, u8, l + mul l, a3, a6 + adcs u9, u9, l + mul l, a3, a7 + adcs u10, u10, l + mul l, a4, a7 + adcs u11, u11, l + mul l, a5, a7 + adcs u12, u12, l + cset u13, cs + + umulh l, a3, a4 + adds u8, u8, l + umulh l, a3, a5 + adcs u9, u9, l + umulh l, a3, a6 + adcs u10, u10, l + umulh l, a3, a7 + adcs u11, u11, l + umulh l, a4, a7 + adcs u12, u12, l + umulh l, a5, a7 + adc u13, u13, l + mul l, a6, a7 + umulh u14, a6, a7 + adds u13, u13, l + adc u14, u14, xzr + +// Double that, with u15 holding the top carry + + adds u1, u1, u1 + adcs u2, u2, u2 + adcs u3, u3, u3 + adcs u4, u4, u4 + adcs u5, u5, u5 + adcs u6, u6, u6 + adcs u7, u7, u7 + adcs u8, u8, u8 + adcs u9, u9, u9 + adcs u10, u10, u10 + adcs u11, u11, u11 + adcs u12, u12, u12 + adcs u13, u13, u13 + adcs u14, u14, u14 + cset u15, cs + +// Add the homogeneous terms 00 + 11 + 22 + 33 + 44 + 55 + 66 + 77 + + umulh l, a0, a0 + adds u1, u1, l + + mul l, a1, a1 + adcs u2, u2, l + umulh l, a1, a1 + adcs u3, u3, l + + mul l, a2, a2 + adcs u4, u4, l + umulh l, a2, a2 + adcs u5, u5, l + + mul l, a3, a3 + adcs u6, u6, l + umulh l, a3, a3 + adcs u7, u7, l + + mul l, a4, a4 + adcs u8, u8, l + umulh l, a4, a4 + adcs u9, u9, l + + mul l, a5, a5 + adcs u10, u10, l + umulh l, a5, a5 + adcs u11, u11, l + + mul l, a6, a6 + adcs u12, u12, l + umulh l, a6, a6 + adcs u13, u13, l + + mul l, a7, a7 + adcs u14, u14, l + umulh l, a7, a7 + adc u15, u15, l + +// Now load in the top digit a8, and immediately double the register + + ldr a8, [x, #64] + add a8, a8, a8 + +// Add (2 * a8) * [a7;...;a0] into the top of the buffer +// At the end of the first chain we form u16 = a8 ^ 2. +// This needs us to shift right the modified a8 again but it saves a +// register, and the overall performance impact seems slightly positive. + + mul l, a8, a0 + adds u8, u8, l + umulh l, a8, a0 + adcs u9, u9, l + mul l, a8, a2 + adcs u10, u10, l + umulh l, a8, a2 + adcs u11, u11, l + mul l, a8, a4 + adcs u12, u12, l + umulh l, a8, a4 + adcs u13, u13, l + mul l, a8, a6 + adcs u14, u14, l + umulh l, a8, a6 + adcs u15, u15, l + lsr u16, a8, #1 + mul u16, u16, u16 + adc u16, u16, xzr + + mul l, a8, a1 + adds u9, u9, l + umulh l, a8, a1 + adcs u10, u10, l + mul l, a8, a3 + adcs u11, u11, l + umulh l, a8, a3 + adcs u12, u12, l + mul l, a8, a5 + adcs u13, u13, l + umulh l, a8, a5 + adcs u14, u14, l + mul l, a8, a7 + adcs u15, u15, l + umulh l, a8, a7 + adc u16, u16, l + +// Finally squeeze in the lowest mul. This didn't need to be involved +// in the addition chains and moreover lets us re-use u0 == a0 + + mul u0, a0, a0 + +// Now we have the full product, which we consider as +// 2^521 * h + l. Form h + l + 1 + + subs xzr, xzr, xzr + extr l, u9, u8, #9 + adcs u0, u0, l + extr l, u10, u9, #9 + adcs u1, u1, l + extr l, u11, u10, #9 + adcs u2, u2, l + extr l, u12, u11, #9 + adcs u3, u3, l + extr l, u13, u12, #9 + adcs u4, u4, l + extr l, u14, u13, #9 + adcs u5, u5, l + extr l, u15, u14, #9 + adcs u6, u6, l + extr l, u16, u15, #9 + adcs u7, u7, l + orr u8, u8, #~0x1FF + lsr l, u16, #9 + adcs u8, u8, l + +// Now CF is set if h + l + 1 >= 2^521, which means it's already +// the answer, while if ~CF the answer is h + l so we should subtract +// 1 (all considered in 521 bits). Hence subtract ~CF and mask. + + sbcs u0, u0, xzr + sbcs u1, u1, xzr + sbcs u2, u2, xzr + sbcs u3, u3, xzr + sbcs u4, u4, xzr + sbcs u5, u5, xzr + sbcs u6, u6, xzr + sbcs u7, u7, xzr + sbc u8, u8, xzr + and u8, u8, #0x1FF + +// Store back digits of final result + + stp u0, u1, [z] + stp u2, u3, [z, #16] + stp u4, u5, [z, #32] + stp u6, u7, [z, #48] + str u8, [z, #64] + +// Restore registers and return + + CFI_POP2(x25,x26) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_sqr_p521_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/arm/bignum_tomont_p256.S b/cbits/s2n/arm/bignum_tomont_p256.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/bignum_tomont_p256.S @@ -0,0 +1,122 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Convert to Montgomery form z := (2^256 * x) mod p_256 +// Input x[4]; output z[4] +// +// extern void bignum_tomont_p256(uint64_t z[static 4], +// const uint64_t x[static 4]); +// +// Standard ARM ABI: X0 = z, X1 = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_tomont_p256) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_tomont_p256) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_tomont_p256) + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_tomont_p256_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_tomont_p256_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_tomont_p256_alt) + .text + .balign 4 + +// ---------------------------------------------------------------------------- +// Core "x |-> (2^64 * x) mod p_256" macro, with x assumed to be < p_256. +// Input is in [d4;d3;d2;d1] and output in [d3;d2;d1;d0] +// using d4 as well as t1, t2, t3 as temporaries. +// ---------------------------------------------------------------------------- + +#define modstep_p256(d4, d3,d2,d1,d0, t1,t2,t3) \ +/* Writing the input as z = 2^256 * h + 2^192 * l + t = 2^192 * hl + t, */ \ +/* our quotient approximation is MIN ((hl + hl>>32 + 1)>>64) (2^64 - 1). */ \ + subs xzr, xzr, xzr __LF/* Set carry flag for +1 */ \ + extr t3, d4, d3, #32 __LF \ + adcs xzr, d3, t3 __LF \ + lsr t3, d4, #32 __LF \ + adcs t3, d4, t3 __LF \ + csetm d0, cs __LF \ + orr t3, t3, d0 __LF \ +/* First do [t2;t1] = 2^32 * q, which we use twice */ \ + lsl t1, t3, #32 __LF \ + lsr t2, t3, #32 __LF \ +/* Add 2^224 * q to sum */ \ + adds d3, d3, t1 __LF \ + adc d4, d4, t2 __LF \ +/* Accumulate [t2;t1;d0] = (2^96 - 1) * q */ \ + subs d0, xzr, t3 __LF \ + sbcs t1, t1, xzr __LF \ + sbc t2, t2, xzr __LF \ +/* Subtract (2^256 + 2^192 + 2^96 - 1) * q */ \ + subs d0, xzr, d0 __LF \ + sbcs d1, d1, t1 __LF \ + sbcs d2, d2, t2 __LF \ + sbcs d3, d3, t3 __LF \ + sbcs d4, d4, t3 __LF \ +/* Use top word as mask to correct */ \ + adds d0, d0, d4 __LF \ + mov t1, #0x00000000ffffffff __LF \ + and t1, t1, d4 __LF \ + adcs d1, d1, t1 __LF \ + adcs d2, d2, xzr __LF \ + mov t1, #0xffffffff00000001 __LF \ + and t1, t1, d4 __LF \ + adc d3, d3, t1 + +#define d0 x2 +#define d1 x3 +#define d2 x4 +#define d3 x5 +#define d4 x6 + +#define t0 x1 +#define t1 x7 +#define t2 x8 +#define t3 x9 + +S2N_BN_SYMBOL(bignum_tomont_p256): + +S2N_BN_SYMBOL(bignum_tomont_p256_alt): + CFI_START + +// Load the input + + ldp d0, d1, [x1] + ldp d2, d3, [x1, #16] + +// Do an initial reduction to make sure this is < p_256, using just +// a copy of the bignum_mod_p256_4 code. This is needed to set up the +// invariant "input < p_256" for the main modular reduction steps. + + mov t0, #0xffffffffffffffff + mov t1, #0x00000000ffffffff + mov t3, #0xffffffff00000001 + subs t0, d0, t0 + sbcs t1, d1, t1 + sbcs t2, d2, xzr + sbcs t3, d3, t3 + csel d0, d0, t0, cc + csel d1, d1, t1, cc + csel d2, d2, t2, cc + csel d3, d3, t3, cc + +// Successively multiply by 2^64 and reduce + + modstep_p256(d3,d2,d1,d0,d4, t1,t2,t3) + modstep_p256(d2,d1,d0,d4,d3, t1,t2,t3) + modstep_p256(d1,d0,d4,d3,d2, t1,t2,t3) + modstep_p256(d0,d4,d3,d2,d1, t1,t2,t3) + +// Store the result and return + + stp d1, d2, [x0] + stp d3, d4, [x0, #16] + + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_tomont_p256) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/arm/bignum_tomont_p384.S b/cbits/s2n/arm/bignum_tomont_p384.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/bignum_tomont_p384.S @@ -0,0 +1,138 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Convert to Montgomery form z := (2^384 * x) mod p_384 +// Input x[6]; output z[6] +// +// extern void bignum_tomont_p384(uint64_t z[static 6], +// const uint64_t x[static 6]); +// +// Standard ARM ABI: X0 = z, X1 = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_tomont_p384) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_tomont_p384) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_tomont_p384) + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_tomont_p384_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_tomont_p384_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_tomont_p384_alt) + .text + .balign 4 + +// ---------------------------------------------------------------------------- +// Core "x |-> (2^64 * x) mod p_384" macro, with x assumed to be < p_384. +// Input is in [d6;d5;d4;d3;d2;d1] and output in [d5;d4;d3;d2;d1;d0] +// using d6 as well as t1, t2, t3 as temporaries. +// ---------------------------------------------------------------------------- + +#define modstep_p384(d6,d5,d4,d3,d2,d1,d0, t1,t2,t3) \ +/* Initial quotient approximation q = min (h + 1) (2^64 - 1) */ \ + adds d6, d6, #1 __LF \ + csetm t3, cs __LF \ + add d6, d6, t3 __LF \ + orn t3, xzr, t3 __LF \ + sub t2, d6, #1 __LF \ + sub t1, xzr, d6 __LF \ +/* Correction term [d6;t2;t1;d0] = q * (2^384 - p_384) */ \ + lsl d0, t1, #32 __LF \ + extr t1, t2, t1, #32 __LF \ + lsr t2, t2, #32 __LF \ + adds d0, d0, d6 __LF \ + adcs t1, t1, xzr __LF \ + adcs t2, t2, d6 __LF \ + adc d6, xzr, xzr __LF \ +/* Addition to the initial value */ \ + adds d1, d1, t1 __LF \ + adcs d2, d2, t2 __LF \ + adcs d3, d3, d6 __LF \ + adcs d4, d4, xzr __LF \ + adcs d5, d5, xzr __LF \ + adc t3, t3, xzr __LF \ +/* Use net top of the 7-word answer in t3 for masked correction */ \ + mov t1, #0x00000000ffffffff __LF \ + and t1, t1, t3 __LF \ + adds d0, d0, t1 __LF \ + eor t1, t1, t3 __LF \ + adcs d1, d1, t1 __LF \ + mov t1, #0xfffffffffffffffe __LF \ + and t1, t1, t3 __LF \ + adcs d2, d2, t1 __LF \ + adcs d3, d3, t3 __LF \ + adcs d4, d4, t3 __LF \ + adc d5, d5, t3 + +S2N_BN_SYMBOL(bignum_tomont_p384): + +S2N_BN_SYMBOL(bignum_tomont_p384_alt): + CFI_START + +#define d0 x2 +#define d1 x3 +#define d2 x4 +#define d3 x5 +#define d4 x6 +#define d5 x7 +#define d6 x8 + +#define t1 x9 +#define t2 x10 +#define t3 x11 + +#define n0 x8 +#define n1 x9 +#define n2 x10 +#define n3 x11 +#define n4 x12 +#define n5 x1 + +// Load the inputs + + ldp d0, d1, [x1] + ldp d2, d3, [x1, #16] + ldp d4, d5, [x1, #32] + +// Do an initial reduction to make sure this is < p_384, using just +// a copy of the bignum_mod_p384_6 code. This is needed to set up the +// invariant "input < p_384" for the main modular reduction steps. + + mov n0, #0x00000000ffffffff + mov n1, #0xffffffff00000000 + mov n2, #0xfffffffffffffffe + subs n0, d0, n0 + sbcs n1, d1, n1 + sbcs n2, d2, n2 + adcs n3, d3, xzr + adcs n4, d4, xzr + adcs n5, d5, xzr + csel d0, d0, n0, cc + csel d1, d1, n1, cc + csel d2, d2, n2, cc + csel d3, d3, n3, cc + csel d4, d4, n4, cc + csel d5, d5, n5, cc + +// Successively multiply by 2^64 and reduce + + modstep_p384(d5,d4,d3,d2,d1,d0,d6, t1,t2,t3) + modstep_p384(d4,d3,d2,d1,d0,d6,d5, t1,t2,t3) + modstep_p384(d3,d2,d1,d0,d6,d5,d4, t1,t2,t3) + modstep_p384(d2,d1,d0,d6,d5,d4,d3, t1,t2,t3) + modstep_p384(d1,d0,d6,d5,d4,d3,d2, t1,t2,t3) + modstep_p384(d0,d6,d5,d4,d3,d2,d1, t1,t2,t3) + +// Store the result and return + + stp d1, d2, [x0] + stp d3, d4, [x0, #16] + stp d5, d6, [x0, #32] + + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_tomont_p384) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/arm/curve25519_x25519.S b/cbits/s2n/arm/curve25519_x25519.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/curve25519_x25519.S @@ -0,0 +1,2596 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ********************************************************************** +// This code is substantially derived from Emil Lenngren's implementation +// +// https://github.com/Emill/X25519-AArch64/blob/master/X25519_AArch64.pdf +// https://github.com/Emill/X25519-AArch64 +// +// and the SLOTHY-based re-engineering of that code by Abdulrahman, Becker, +// Kannwischer and Klein: +// +// https://eprint.iacr.org/2022/1303.pdf +// https://github.com/slothy-optimizer/slothy/tree/main/paper +// ********************************************************************** + +// ---------------------------------------------------------------------------- +// The x25519 function for curve25519 +// Inputs scalar[4], point[4]; output res[4] +// +// extern void curve25519_x25519 +// (uint64_t res[static 4],const uint64_t scalar[static 4], +// const uint64_t point[static 4]); +// +// Given a scalar n and the X coordinate of an input point P = (X,Y) on +// curve25519 (Y can live in any extension field of characteristic 2^255-19), +// this returns the X coordinate of n * P = (X, Y), or 0 when n * P is the +// point at infinity. Both n and X inputs are first slightly modified/mangled +// as specified in the relevant RFC (https://www.rfc-editor.org/rfc/rfc7748); +// in particular the lower three bits of n are set to zero. Does not implement +// the zero-check specified in Section 6.1. +// +// Standard ARM ABI: X0 = res, X1 = scalar, X2 = point +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(curve25519_x25519) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(curve25519_x25519) + S2N_BN_SYM_PRIVACY_DIRECTIVE(curve25519_x25519) + + .text + .balign 4 + +// Pointer-offset pairs for temporaries on stack + +#define scalar sp, #0 +#define pointx sp, #32 +#define mask1 sp, #72 +#define mask2 sp, #80 +#define tmpa sp, #88 +#define tmpb sp, #128 +#define xn sp, #128 +#define zn sp, #160 + +#define res sp, #192 +#define i sp, #200 +#define swap sp, #208 + +// Total size to reserve on the stack + +#define NSPACE 224 +#define regsave sp, #NSPACE + +S2N_BN_SYMBOL(curve25519_x25519): + CFI_START + +// Save registers and make additional room #NSPACE for temporaries. +// We only need to save the low 64-bits of the Q8...Q15 registers +// according to the ABI, so we use a save of the D8...D15 forms. + + CFI_DEC_SP(NSPACE+160) + CFI_STACKSAVE2(d8,d9,NSPACE+0) + CFI_STACKSAVE2(d10,d11,NSPACE+16) + CFI_STACKSAVE2(d12,d13,NSPACE+32) + CFI_STACKSAVE2(d14,d15,NSPACE+48) + CFI_STACKSAVE2(x19,x20,NSPACE+64) + CFI_STACKSAVE2(x21,x22,NSPACE+80) + CFI_STACKSAVE2(x23,x24,NSPACE+96) + CFI_STACKSAVE2(x25,x26,NSPACE+112) + CFI_STACKSAVE2(x27,x28,NSPACE+128) + CFI_STACKSAVE2(x29,x30,NSPACE+144) + +// Move the output pointer to a stable place + + str x0, [res] + +// Copy the scalar to the corresponding local variable while +// mangling it. In principle it becomes 01xxx...xxx000 where +// the xxx are the corresponding bits of the original input +// scalar. We actually don't bother forcing the MSB to zero, +// but rather start the main loop below at 254 instead of 255. + + ldp x10, x11, [x1] + bic x10, x10, #7 + stp x10, x11, [scalar] + ldp x12, x13, [x1, #16] + orr x13, x13, #0x4000000000000000 + stp x12, x13, [scalar+16] + +// Discard the MSB of the point X coordinate (this is in +// accordance with the RFC, mod 2^255, *not* 2^255-19). +// Then recode it into the unsaturated base 25.5 form. + + ldp x0, x1, [x2] + ldp x2, x3, [x2, #16] + + lsr x12, x0, #51 + lsr x17, x2, #51 + orr x12, x12, x1, lsl #13 + orr x17, x17, x3, lsl #13 + ubfx x8, x3, #12, #26 + ubfx x9, x3, #38, #25 + ubfx x11, x0, #26, #25 + ubfx x13, x1, #13, #25 + lsr x14, x1, #38 + ubfx x16, x2, #25, #26 + and x10, x0, #0x3ffffff + and x12, x12, #0x3ffffff + and x15, x2, #0x1ffffff + and x17, x17, #0x1ffffff + orr x10, x10, x11, lsl #32 + orr x11, x12, x13, lsl #32 + orr x12, x14, x15, lsl #32 + orr x13, x16, x17, lsl #32 + orr x14, x8, x9, lsl #32 + + stp x10, x11, [pointx+0] + stp x12, x13, [pointx+16] + str x14, [pointx+32] + +// Initialize (X2,Z2) = (1,0), the identity (projective point at infinity) + + mov x1, #1 + mov v0.d[0], x1 + mov v2.d[0], xzr + mov v4.d[0], xzr + mov v6.d[0], xzr + mov v8.d[0], xzr + + mov v1.d[0], xzr + mov v3.d[0], xzr + mov v5.d[0], xzr + mov v7.d[0], xzr + mov v9.d[0], xzr + +// Initialize (X3,Z3) = (X,1), projective representation of X + + mov v10.d[0], x10 + mov v12.d[0], x11 + mov v14.d[0], x12 + mov v16.d[0], x13 + mov v18.d[0], x14 + + mov v11.d[0], x1 + mov v13.d[0], xzr + mov v15.d[0], xzr + mov v17.d[0], xzr + mov v19.d[0], xzr + +// Set up some constants used repeatedly in the main loop: +// +// Q31 = 0x1300000013 (two 32-bit copies of 19) +// Q30 = 0x3ffffff0000000003ffffff (two 64-bit copies of 2^26-1) +// Q29 = mask1 = (0x07ffffc,0x07fffffe) +// Q28 = mask2 = (0x07ffffb4,0x07fffffe) + + mov w0, #19 + add x0, x0, x0, lsl #32 + mov v31.d[0], x0 + mov v31.d[1], xzr + + mov x0, #67108863 // #(1<<26)-1 + mov v30.d[0], x0 + mov v30.d[1], x0 + + mov x0, #0x07fffffe07fffffe + sub x1, x0, #74 // #0xfe-0xb4 + sub x0, x0, #2 + + stp x0, x1, [mask1] + ldp d29, d28, [mask1] + +// The main loop over (modified) bits from i = 254, ..., i = 0 (inclusive); +// we explicitly skip bit 255 because it should be forced to zero initially. +// This is a classic Montgomery ladder using a "swap" variable. +// It's assumed x0 = i at the start of the loop, but that is volatile and +// needs to be reloaded from memory at the end of the loop. + + str xzr, [swap] + mov x0, #254 + str x0, [i] + +Lcurve25519_x25519_scalarloop: + + lsr x1, x0, #6 + ldr x2, [sp, x1, lsl #3] // Exploiting scalar = sp exactly + lsr x2, x2, x0 + and x2, x2, #1 + + ldr x0, [swap] + cmp x0, x2 + str x2, [swap] + +// The following inner loop code is derived closely following Lenngren's +// implementation available at "https://github.com/Emill/X25519-AArch64". +// In particular, the basic dataflow and the organization between integer +// and SIMD units is identical, with only a few minor changes to some +// individual instructions (for miscellaneous reasons). The scheduling +// was redone from scratch by SLOTHY starting from the un-interleaved +// form in the SLOTHY work cited above, and using the same scripts. +// +// The intermediate value annotations were added to provide data that +// is used in the formal proof, indicating which lines assign specific +// digits of the various intermediate results (mainly of field +// operations, sometimes other transformations). The names used for +// the intermediate results are similar but not identical to those in +// the abstract Algorithm 1 description in Lenngren's paper. Almost +// all equations are to be interpreted as field operations, i.e. as +// arithmetic modulo 2^255-19, not simple numeric equalities. +// +// b = x2 - z2 +// d = x3 - z3 +// a = x2 + z2 +// c = x3 + z3 +// f = if flip then c else a +// g = if flip then d else b +// aa = f^2 +// bb = g^2 +// bbalt = bb (change of representation) +// e = aa - bb +// bce = bbalt + 121666 * e +// z4 = bce * e +// bc = b * c +// ad = a * d +// t1 = ad + bc +// t2 = ad - bc +// x5 = t1^2 +// t3 = t2^2 +// x4 = aa * bb +// z5 = x * t3 +// +// Then the main variables are updated for the next iteration as +// +// (x2',z2') = (x4,z4) +// (x3',z3') = (x5,z5) + + add v22.2s, v2.2s, v3.2s // ubignum_of_qreglist 1 // INTERMEDIATE a + sub v21.2s, v28.2s, v1.2s + add v25.2s, v0.2s, v1.2s // ubignum_of_qreglist 0 // INTERMEDIATE a + sub v24.2s, v29.2s, v3.2s + add v3.2s, v18.2s, v19.2s // ubignum_of_qreglist 4 // INTERMEDIATE c + add v0.2s, v0.2s, v21.2s // ubignum_of_qreglist 0 // INTERMEDIATE b + sub v20.2s, v29.2s, v15.2s + sub v1.2s, v29.2s, v5.2s + sub v26.2s, v28.2s, v11.2s + sub v21.2s, v29.2s, v19.2s + add v19.2s, v10.2s, v11.2s // ubignum_of_qreglist 0 // INTERMEDIATE c + add v11.2s, v14.2s, v20.2s // ubignum_of_qreglist 2 // INTERMEDIATE d + add v21.2s, v18.2s, v21.2s // ubignum_of_qreglist 4 // INTERMEDIATE d + sub v20.2s, v29.2s, v17.2s + add v18.2s, v2.2s, v24.2s // ubignum_of_qreglist 1 // INTERMEDIATE b + add v14.2s, v14.2s, v15.2s // ubignum_of_qreglist 2 // INTERMEDIATE c + add v15.2s, v16.2s, v17.2s // ubignum_of_qreglist 3 // INTERMEDIATE c + add v2.2s, v16.2s, v20.2s // ubignum_of_qreglist 3 // INTERMEDIATE d + add v24.2s, v12.2s, v13.2s // ubignum_of_qreglist 1 // INTERMEDIATE c + add v26.2s, v10.2s, v26.2s // ubignum_of_qreglist 0 // INTERMEDIATE d + sub v10.2s, v29.2s, v13.2s + sub v13.2s, v29.2s, v7.2s + add v23.2s, v6.2s, v7.2s // ubignum_of_qreglist 3 // INTERMEDIATE a + sub v7.2s, v29.2s, v9.2s + add v27.2s, v12.2s, v10.2s // ubignum_of_qreglist 1 // INTERMEDIATE d + fcsel d20, d22, d24, eq // ubignum_of_qreglist 1 // INTERMEDIATE f + add v28.2s, v4.2s, v5.2s // ubignum_of_qreglist 2 // INTERMEDIATE a + fcsel d12, d23, d15, eq // ubignum_of_qreglist 3 // INTERMEDIATE f + add v7.2s, v8.2s, v7.2s // ubignum_of_qreglist 4 // INTERMEDIATE b + fcsel d16, d25, d19, eq // ubignum_of_qreglist 0 // INTERMEDIATE f + mov x0, v20.d[0] + fcsel d5, d28, d14, eq // ubignum_of_qreglist 2 // INTERMEDIATE f + mov x21, v12.d[0] + fcsel d29, d7, d21, eq // ubignum_of_qreglist 4 // INTERMEDIATE g + mov x5, v16.d[0] + lsr x26, x0, #32 + add x29, x21, x21 + umull x15, w5, w29 + add v13.2s, v6.2s, v13.2s // ubignum_of_qreglist 3 // INTERMEDIATE b + add x12, x26, x26 + mov x30, v5.d[0] + fcsel d10, d18, d27, eq // ubignum_of_qreglist 1 // INTERMEDIATE g + lsr x11, x5, #32 + lsr x10, x30, #32 + trn2 v20.2s, v21.2s, v3.2s + add v9.2s, v8.2s, v9.2s // ubignum_of_qreglist 4 // INTERMEDIATE a + add x14, x11, x11 + trn2 v6.2s, v2.2s, v15.2s + trn1 v12.2s, v25.2s, v0.2s + add v1.2s, v4.2s, v1.2s // ubignum_of_qreglist 2 // INTERMEDIATE b + trn1 v16.2s, v23.2s, v13.2s + fcsel d8, d13, d2, eq // ubignum_of_qreglist 3 // INTERMEDIATE g + trn2 v17.2s, v27.2s, v24.2s + str d29, [tmpb+32] + add x17, x10, x10 + trn2 v4.2s, v28.2s, v1.2s + trn1 v5.2s, v28.2s, v1.2s + trn1 v28.2s, v2.2s, v15.2s + trn1 v2.2s, v22.2s, v18.2s + fcsel d29, d0, d26, eq // ubignum_of_qreglist 0 // INTERMEDIATE g + trn2 v15.2s, v22.2s, v18.2s + umull v22.2d, v12.2s, v20.2s + umull x22, w30, w17 + stp d29, d10, [tmpb+0] + trn2 v10.2s, v23.2s, v13.2s + trn2 v23.2s, v11.2s, v14.2s + trn1 v13.2s, v27.2s, v24.2s + fcsel d27, d1, d11, eq // ubignum_of_qreglist 2 // INTERMEDIATE g + trn1 v14.2s, v11.2s, v14.2s + umlal v22.2d, v2.2s, v6.2s + umull x25, w30, w30 + umlal v22.2d, v5.2s, v23.2s + add x3, x30, x30 + umlal v22.2d, v16.2s, v17.2s + add w30, w21, w21, lsl #1; + stp d27, d8, [tmpb+16] + add w30, w30, w21, lsl #4 + trn1 v11.2s, v26.2s, v19.2s + trn2 v8.2s, v26.2s, v19.2s + trn2 v19.2s, v25.2s, v0.2s + mul v29.2s, v20.2s, v31.2s + ldr x20, [tmpb+24] + umull v25.2d, v19.2s, v6.2s + add x1, x0, x0 + umull v27.2d, v19.2s, v23.2s + umull x9, w5, w1 + umull v0.2d, v12.2s, v23.2s + lsr x24, x20, #32 + mul v20.2s, v23.2s, v31.2s + lsr x16, x21, #32 + umlal v25.2d, v15.2s, v23.2s + umaddl x13, w11, w14, x9 + umlal v25.2d, v4.2s, v17.2s + umaddl x9, w14, w17, x15 + umull v24.2d, v12.2s, v6.2s + add w2, w16, w16, lsl #1; + fcsel d26, d9, d3, eq // ubignum_of_qreglist 4 // INTERMEDIATE f + add w2, w2, w16, lsl #4 + trn1 v18.2s, v21.2s, v3.2s + umull v3.2d, v19.2s, v29.2s + umull x28, w5, w3 + mul v1.2s, v6.2s, v31.2s + umull x8, w5, w5 + umlal v24.2d, v2.2s, v23.2s + umaddl x13, w21, w30, x13 + mul v23.2s, v17.2s, v31.2s + umaddl x27, w14, w12, x28 + trn2 v6.2s, v9.2s, v7.2s + mov x6, v26.d[0] + umlal v3.2d, v15.2s, v1.2s + add x16, x16, x16 + umlal v3.2d, v4.2s, v20.2s + lsr x4, x6, #32 + umlal v3.2d, v10.2s, v23.2s + add x7, x6, x6 + umull v26.2d, v19.2s, v8.2s + add x23, x4, x4 + umaddl x28, w5, w23, x22 + trn1 v7.2s, v9.2s, v7.2s + umlal v27.2d, v15.2s, v17.2s + add w15, w4, w4, lsl #1; + umlal v27.2d, v4.2s, v8.2s + add w15, w15, w4, lsl #4 + add w22, w10, w10, lsl #1; + umlal v24.2d, v5.2s, v17.2s + add w22, w22, w10, lsl #4 + umaddl x10, w11, w7, x28 + umlal v25.2d, v10.2s, v8.2s + umull x21, w5, w16 + umlal v25.2d, v6.2s, v29.2s + umaddl x23, w15, w23, x25 + umlal v27.2d, v10.2s, v29.2s + umull x19, w5, w12 + umlal v27.2d, v6.2s, v1.2s + umaddl x25, w11, w29, x21 + umlal v0.2d, v2.2s, v17.2s + umaddl x28, w0, w3, x9 + shl v21.2d, v25.2d, #1 + umaddl x4, w11, w1, x19 + umaddl x21, w2, w29, x4 + mul v25.2s, v8.2s, v31.2s + umlal v24.2d, v16.2s, v8.2s + umaddl x19, w0, w17, x25 + umlal v24.2d, v7.2s, v29.2s + umull x25, w5, w17 + umlal v24.2d, v19.2s, v28.2s + umaddl x4, w0, w16, x10 + umull v9.2d, v12.2s, v8.2s + umaddl x23, w5, w7, x23 + umlal v21.2d, v12.2s, v18.2s + add w10, w6, w6, lsl #1; + shl v27.2d, v27.2d, #1 + add w10, w10, w6, lsl #4 + umaddl x28, w26, w12, x28 + umlal v26.2d, v15.2s, v29.2s + umaddl x9, w14, w16, x23 + umlal v9.2d, v2.2s, v29.2s + umaddl x22, w22, w17, x8 + umlal v21.2d, v2.2s, v28.2s + umaddl x28, w6, w10, x28 + umaddl x27, w0, w0, x27 + add x8, x14, x14 + umlal v0.2d, v5.2s, v8.2s + umull x5, w5, w14 + umlal v9.2d, v5.2s, v1.2s + umaddl x14, w0, w29, x9 + umlal v26.2d, v4.2s, v1.2s + umaddl x6, w2, w16, x27 + umlal v22.2d, v7.2s, v8.2s + umaddl x5, w30, w17, x5 + umaddl x5, w2, w3, x5 + add x23, x17, x17 + umlal v27.2d, v12.2s, v28.2s + umaddl x13, w2, w23, x13 + umlal v26.2d, v10.2s, v20.2s + add x9, x12, x12 + umlal v9.2d, v16.2s, v20.2s + umaddl x27, w10, w29, x6 + umlal v0.2d, v16.2s, v29.2s + umaddl x6, w11, w3, x25 + umlal v22.2d, v19.2s, v18.2s + umaddl x19, w26, w3, x19 + mul v18.2s, v18.2s, v31.2s + umaddl x23, w15, w23, x27 + umlal v3.2d, v6.2s, v25.2s + umaddl x0, w0, w12, x6 + umlal v0.2d, v7.2s, v1.2s + add x11, x16, x16 + umlal v9.2d, v7.2s, v23.2s + umaddl x6, w12, w17, x14 + umlal v9.2d, v19.2s, v11.2s + umaddl x25, w26, w29, x4 + umlal v9.2d, v15.2s, v18.2s + umaddl x14, w10, w3, x13 + umull v25.2d, v12.2s, v17.2s + umaddl x27, w10, w16, x0 + umlal v26.2d, v6.2s, v23.2s + add x0, x25, x6, lsr #26 + mul v23.2s, v28.2s, v31.2s + umaddl x12, w10, w12, x5 + shl v3.2d, v3.2d, #1 + add x16, x22, x0, lsr #25 + umlal v21.2d, v5.2s, v14.2s + bic x22, x0, #0x1ffffff + umlal v3.2d, v12.2s, v11.2s + add x26, x16, x22, lsr #24 + umlal v3.2d, v2.2s, v18.2s + umaddl x16, w10, w17, x21 + umlal v3.2d, v5.2s, v23.2s + add x22, x26, x22, lsr #21 + umlal v9.2d, v4.2s, v23.2s + umaddl x5, w15, w29, x27 + umull v17.2d, v19.2s, v17.2s + umaddl x17, w30, w3, x22 + umlal v25.2d, v2.2s, v8.2s + umaddl x25, w15, w3, x16 + umlal v25.2d, v5.2s, v29.2s + umaddl x26, w15, w7, x19 + umlal v0.2d, v19.2s, v14.2s + umaddl x17, w2, w9, x17 + umlal v17.2d, v15.2s, v8.2s + ldr x19, [tmpb+0] + umlal v17.2d, v4.2s, v29.2s + ldr x7, [tmpb+8] + shl v29.2d, v26.2d, #1 + umaddl x13, w10, w1, x17 + umlal v0.2d, v15.2s, v13.2s + lsr x2, x19, #32 + umlal v29.2d, v12.2s, v13.2s + umaddl x27, w15, w1, x12 + umlal v29.2d, v2.2s, v11.2s + umaddl x30, w15, w8, x13 + umlal v29.2d, v5.2s, v18.2s + add x4, x7, x7 + umlal v29.2d, v16.2s, v23.2s + umaddl x29, w15, w9, x14 + umlal v0.2d, v4.2s, v11.2s + add x17, x27, x30, lsr #26 + umlal v0.2d, v10.2s, v18.2s + umaddl x16, w15, w11, x28 + umlal v0.2d, v6.2s, v23.2s + add x1, x29, x17, lsr #25 + umlal v25.2d, v16.2s, v1.2s + umull x11, w19, w4 + ldr x8, [tmpb+32] + mul v26.2s, v14.2s, v31.2s + umlal v17.2d, v10.2s, v1.2s + ldr x15, [tmpb+16] + umlal v17.2d, v6.2s, v20.2s + and x9, x30, #0x3ffffff + bfi x9, x17, #32, #25 // ubignum_of_preglist 0 // INTERMEDIATE aa + add x17, x2, x2 + lsr x10, x15, #32 + add x27, x25, x1, lsr #26 + umlal v25.2d, v7.2s, v20.2s + add x13, x10, x10 + umlal v25.2d, v19.2s, v13.2s + add x29, x23, x27, lsr #25 + umlal v25.2d, v15.2s, v11.2s + lsr x30, x8, #32 + umlal v25.2d, v4.2s, v18.2s + add x23, x5, x29, lsr #26 + umlal v25.2d, v10.2s, v23.2s + and x14, x29, #0x3ffffff + umlal v25.2d, v6.2s, v26.2s + add x5, x16, x23, lsr #25 + shl v8.2d, v17.2d, #1 + umaddl x12, w2, w17, x11 + and x29, x5, #0x3ffffff + umull x21, w19, w19 + umlal v29.2d, v7.2s, v26.2s + add w16, w10, w10, lsl #1; + umlal v3.2d, v16.2s, v26.2s + add w16, w16, w10, lsl #4 + bfi x14, x23, #32, #25 // ubignum_of_preglist 2 // INTERMEDIATE aa + add w10, w24, w24, lsl #1; + add x22, x26, x5, lsr #26 + add w10, w10, w24, lsl #4 + umlal v8.2d, v12.2s, v14.2s + umaddl x25, w16, w13, x21 + umlal v8.2d, v2.2s, v13.2s + bfi x29, x22, #32, #25 // ubignum_of_preglist 3 // INTERMEDIATE aa + umlal v8.2d, v5.2s, v11.2s + add x26, x24, x24 + umlal v8.2d, v16.2s, v18.2s + stp x14, x29, [tmpa+16] + umlal v8.2d, v7.2s, v23.2s + add w24, w30, w30, lsl #1; + usra v25.2d, v29.2d, #26 + add w24, w24, w30, lsl #4 + umull x29, w15, w15 + umlal v27.2d, v2.2s, v14.2s + umull x3, w15, w13 + umlal v27.2d, v5.2s, v13.2s + add x21, x20, x20 + umlal v24.2d, v15.2s, v14.2s + umull x5, w19, w21 + umlal v24.2d, v4.2s, v13.2s + and x11, x1, #0x3ffffff + usra v8.2d, v25.2d, #25 + and x1, x0, #0x1ffffff + umlal v27.2d, v16.2s, v11.2s + umaddl x23, w17, w13, x5 + umlal v27.2d, v7.2s, v18.2s + add x5, x30, x30 + usra v0.2d, v8.2d, #26 + add x0, x15, x15 + umlal v24.2d, v10.2s, v11.2s + umaddl x23, w7, w0, x23 + umlal v24.2d, v6.2s, v18.2s + lsr x30, x7, #32 + usra v27.2d, v0.2d, #25 + add x16, x30, x30 + and v20.16b, v8.16b, v30.16b // ubignum_of_hreglist 4 + ubignum_of_lreglist 4 // INTERMEDIATE H|L = bc|ad + umaddl x15, w30, w16, x23 + ushr v23.2d, v30.2d, #1 + add w23, w8, w8, lsl #1; + usra v24.2d, v27.2d, #26 + add w23, w23, w8, lsl #4 + umaddl x14, w19, w5, x3 + and v8.16b, v27.16b, v30.16b // ubignum_of_hreglist 6 + ubignum_of_lreglist 6 // INTERMEDIATE H|L = bc|ad + add x28, x8, x8 + and v27.16b, v0.16b, v23.16b // ubignum_of_hreglist 5 + ubignum_of_lreglist 5 // INTERMEDIATE H|L = bc|ad + umaddl x8, w8, w23, x15 + and v5.16b, v24.16b, v23.16b // ubignum_of_hreglist 7 + ubignum_of_lreglist 7 // INTERMEDIATE H|L = bc|ad + umaddl x3, w2, w28, x14 + umlal v22.2d, v15.2s, v28.2s + bfi x11, x27, #32, #25 // ubignum_of_preglist 1 // INTERMEDIATE aa + uzp1 v5.4s, v8.4s, v5.4s + umaddl x14, w24, w5, x29 + umaddl x5, w19, w28, x14 + ldr d18, [mask1] + mov v18.d[1], v18.d[0] + umaddl x15, w7, w26, x3 + mul v12.2s, v13.2s, v31.2s + umlal v21.2d, v16.2s, v13.2s + stp x9, x11, [tmpa+0] + umlal v21.2d, v7.2s, v11.2s + umaddl x29, w17, w26, x5 + umlal v22.2d, v4.2s, v14.2s + add w14, w20, w20, lsl #1; + umlal v22.2d, v10.2s, v13.2s + add w14, w14, w20, lsl #4 + umull x3, w19, w0 + umlal v22.2d, v6.2s, v11.2s + umaddl x29, w7, w21, x29 + usra v21.2d, v24.2d, #25 + umaddl x11, w20, w14, x12 + and v0.16b, v25.16b, v23.16b + umaddl x5, w30, w21, x15 + and v14.16b, v29.16b, v30.16b + umaddl x12, w16, w13, x29 + usra v22.2d, v21.2d, #26 + umaddl x29, w17, w16, x3 + umlal v3.2d, v7.2s, v12.2s + add x9, x26, x26 + and v1.16b, v21.16b, v30.16b // ubignum_of_hreglist 8 + ubignum_of_lreglist 8 // INTERMEDIATE H|L = bc|ad + add x27, x5, x12, lsr #26 + bic v8.16b, v22.16b, v23.16b + umaddl x29, w7, w7, x29 + and v17.16b, v22.16b, v23.16b // ubignum_of_hreglist 9 + ubignum_of_lreglist 9 // INTERMEDIATE H|L = bc|ad + add x5, x25, x27, lsr #25 + usra v3.2d, v8.2d, #25 + umaddl x25, w24, w9, x8 + umlal v9.2d, v10.2s, v26.2s + add x8, x13, x13 + trn1 v22.4s, v1.4s, v17.4s + umaddl x11, w10, w8, x11 + usra v3.2d, v8.2d, #24 + umull x20, w19, w16 + add v26.2s, v22.2s, v18.2s + ldr d28, [mask2] + umlal v9.2d, v6.2s, v12.2s + umaddl x3, w23, w0, x11 + usra v3.2d, v8.2d, #21 + umaddl x29, w10, w26, x29 + uzp1 v11.4s, v20.4s, v27.4s + umaddl x20, w2, w4, x20 + umaddl x9, w10, w21, x20 + mov v17.d[0], v22.d[1] + usra v9.2d, v3.2d, #26 + umull x15, w19, w13 + and v7.16b, v3.16b, v30.16b // ubignum_of_hreglist 0 + ubignum_of_lreglist 0 // INTERMEDIATE H|L = bc|ad + add x11, x16, x16 + uzp2 v1.4s, v11.4s, v5.4s + umaddl x20, w23, w13, x9 + and v8.16b, v9.16b, v23.16b // ubignum_of_hreglist 1 + ubignum_of_lreglist 1 // INTERMEDIATE H|L = bc|ad + umaddl x9, w2, w0, x15 + usra v14.2d, v9.2d, #25 + and x6, x6, #0x3ffffff + uzp1 v7.4s, v7.4s, v8.4s + umaddl x29, w23, w21, x29 + uzp1 v27.4s, v11.4s, v5.4s + umull x15, w19, w26 + usra v0.2d, v14.2d, #26 // ubignum_of_hreglist 3 + ubignum_of_lreglist 3 // INTERMEDIATE H|L = bc|ad + add x6, x6, x22, lsr #25 + and v3.16b, v14.16b, v30.16b // ubignum_of_hreglist 2 + ubignum_of_lreglist 2 // INTERMEDIATE H|L = bc|ad + bic x22, x27, #0x1ffffff + sub v2.2s, v26.2s, v17.2s + add v9.2s, v22.2s, v17.2s + uzp1 v14.4s, v3.4s, v0.4s + umaddl x2, w2, w21, x15 + add v5.4s, v27.4s, v18.4s + add x5, x5, x22, lsr #24 + zip1 v22.2s, v2.2s, v9.2s // ubignum_of_h32reglist 8 + ubignum_of_l32reglist 8 // INTERMEDIATE H|L = t1|t2 + mov v18.b[0], v28.b[0] + uzp1 v8.4s, v7.4s, v14.4s + add x22, x5, x22, lsr #21 + uzp2 v3.4s, v7.4s, v14.4s + umaddl x5, w7, w16, x9 + add v25.4s, v8.4s, v18.4s + umaddl x15, w14, w0, x22 + add v12.4s, v27.4s, v1.4s + add x9, x17, x17 + sub v14.4s, v5.4s, v1.4s + umull x19, w19, w17 + sub v18.4s, v25.4s, v3.4s + ldr x22, [tmpa+8] + add v20.4s, v8.4s, v3.4s + umaddl x15, w10, w11, x15 + zip1 v16.4s, v14.4s, v12.4s // ubignum_of_h32reglist 4 + ubignum_of_l32reglist 4 // INTERMEDIATE H|L = t1|t2 + umaddl x14, w14, w13, x19 + zip2 v14.4s, v14.4s, v12.4s // ubignum_of_h32reglist 6 + ubignum_of_l32reglist 6 // INTERMEDIATE H|L = t1|t2 + and x17, x27, #0x1ffffff + zip2 v0.4s, v18.4s, v20.4s // ubignum_of_h32reglist 2 + ubignum_of_l32reglist 2 // INTERMEDIATE H|L = t1|t2 + umaddl x15, w23, w4, x15 + zip1 v1.4s, v18.4s, v20.4s // ubignum_of_h32reglist 0 + ubignum_of_l32reglist 0 // INTERMEDIATE H|L = t1|t2 + umaddl x10, w10, w0, x14 + zip2 v5.2s, v2.2s, v9.2s // ubignum_of_h32reglist 9 + ubignum_of_l32reglist 9 // INTERMEDIATE H|L = t1|t2 + shl v24.2s, v0.2s, #1 + mov v19.d[0], v1.d[1] // ubignum_of_h32reglist 1 + ubignum_of_l32reglist 1 // INTERMEDIATE H|L = t1|t2 + shl v26.2s, v22.2s, #1 + shl v17.2s, v16.2s, #1 + mov v15.d[0], v0.d[1] // ubignum_of_h32reglist 3 + ubignum_of_l32reglist 3 // INTERMEDIATE H|L = t1|t2 + shl v7.2s, v5.2s, #1 + shl v18.2s, v19.2s, #1 + umull v11.2d, v1.2s, v24.2s + umaddl x19, w23, w16, x10 + umull v6.2d, v1.2s, v17.2s + umaddl x10, w7, w13, x2 + mov v4.d[0], v16.d[1] // ubignum_of_h32reglist 5 + ubignum_of_l32reglist 5 // INTERMEDIATE H|L = t1|t2 + mov v10.d[0], v14.d[1] // ubignum_of_h32reglist 7 + ubignum_of_l32reglist 7 // INTERMEDIATE H|L = t1|t2 + umull v9.2d, v1.2s, v26.2s + ldr x13, [tmpa+0] + shl v28.2s, v15.2s, #1 + shl v3.2s, v10.2s, #1 + ldr x14, [tmpa+16] + mul v12.2s, v10.2s, v31.2s + umull v25.2d, v1.2s, v7.2s + ldr x2, [tmpa+24] + umlal v6.2d, v18.2s, v28.2s + umaddl x27, w30, w0, x10 + umaddl x16, w24, w0, x20 + shl v13.2s, v14.2s, #1 + umaddl x5, w23, w26, x5 + mul v2.2s, v22.2s, v31.2s + umull v21.2d, v1.2s, v13.2s + umaddl x23, w24, w8, x29 + umlal v11.2d, v18.2s, v19.2s + mov x10, #0x07fffffe07fffffe + sub x10, x10, #2 + umaddl x26, w24, w21, x5 + mul v29.2s, v14.2s, v31.2s + umlal v25.2d, v19.2s, v26.2s + add x7, x1, x6, lsr #26 + mul v20.2s, v4.2s, v31.2s + and x6, x6, #0x3ffffff + shl v8.2s, v18.2s, #1 + shl v4.2s, v4.2s, #1 + umlal v11.2d, v29.2s, v14.2s + bfi x6, x7, #32, #26 // ubignum_of_preglist 4 // INTERMEDIATE aa + umlal v25.2d, v0.2s, v3.2s + umaddl x0, w24, w4, x19 + umlal v25.2d, v15.2s, v13.2s + str x6, [tmpa+32] + umlal v21.2d, v18.2s, v4.2s + umaddl x8, w24, w11, x3 + umlal v21.2d, v0.2s, v17.2s + ldr x30, [tmpa+32] + mul v14.2s, v5.2s, v31.2s + add x2, x2, x10 + shl v5.2s, v28.2s, #1 + shl v27.2s, v4.2s, #1 + umlal v6.2d, v0.2s, v0.2s + umaddl x11, w24, w9, x15 + umlal v6.2d, v12.2s, v3.2s + add x4, x30, x10 + umlal v11.2d, v14.2s, v5.2s + add x3, x22, x10 + umlal v11.2d, v2.2s, v17.2s + add x6, x0, x11, lsr #26 + umlal v11.2d, v12.2s, v27.2s + add x14, x14, x10 + umlal v6.2d, v14.2s, v27.2s + add x8, x8, x6, lsr #25 + umlal v6.2d, v2.2s, v13.2s + movk x10, #0xffb4 + umlal v25.2d, v16.2s, v4.2s + add x29, x16, x8, lsr #26 + umull v27.2d, v1.2s, v3.2s + and x11, x11, #0x3ffffff + umlal v9.2d, v18.2s, v3.2s + add x19, x13, x10 + umlal v9.2d, v0.2s, v13.2s + and x5, x8, #0x3ffffff + umlal v9.2d, v28.2s, v4.2s + bfi x11, x6, #32, #25 // ubignum_of_preglist 0 // INTERMEDIATE bb + umlal v9.2d, v16.2s, v16.2s + umaddl x30, w24, w28, x27 + umlal v9.2d, v14.2s, v7.2s + sub x13, x19, x11 + umull v10.2d, v1.2s, v18.2s + add x7, x23, x29, lsr #25 + umlal v21.2d, v28.2s, v15.2s + lsr x16, x13, #32 // ubignum_of_wreglist 1 + ubignum_of_wreglist 0 // INTERMEDIATE e + umlal v21.2d, v2.2s, v22.2s + add x0, x26, x7, lsr #26 + usra v25.2d, v9.2d, #26 + and x20, x7, #0x3ffffff + umull v22.2d, v1.2s, v1.2s + add x8, x25, x0, lsr #25 + umull v7.2d, v1.2s, v28.2s + and x1, x29, #0x1ffffff // ubignum_of_xreglist 3 // INTERMEDIATE bbalt + bic v18.16b, v25.16b, v23.16b + and x19, x8, #0x3ffffff + and v16.16b, v9.16b, v30.16b + and x7, x12, #0x3ffffff + usra v22.2d, v18.2d, #25 + add x10, x30, x8, lsr #26 + umlal v7.2d, v19.2s, v24.2s + bfi x5, x29, #32, #25 // ubignum_of_preglist 1 // INTERMEDIATE bb + and v9.16b, v25.16b, v23.16b + add x27, x7, x10, lsr #25 + usra v22.2d, v18.2d, #24 + mov x21, #60833 + lsl x21, x21, #1 + add x15, x17, x27, lsr #26 + shl v25.2s, v3.2s, #1 + umlal v7.2d, v14.2s, v17.2s + and x29, x27, #0x3ffffff + usra v22.2d, v18.2d, #21 + bfi x29, x15, #32, #26 // ubignum_of_preglist 4 // INTERMEDIATE bb // ***SOURCE*** ubignum_of_xreglist 9 // INTERMEDIATE bbalt + umlal v10.2d, v14.2s, v24.2s + and x17, x6, #0x1ffffff // ubignum_of_xreglist 1 // INTERMEDIATE bbalt + umlal v10.2d, v2.2s, v28.2s + sub x6, x3, x5 + umlal v10.2d, v12.2s, v17.2s + umaddl x25, w16, w21, x17 + umlal v10.2d, v29.2s, v4.2s + mov w12, w5 // ubignum_of_xreglist 2 // INTERMEDIATE bbalt + umlal v22.2d, v20.2s, v4.2s + lsr x26, x6, #32 // ubignum_of_wreglist 3 + ubignum_of_wreglist 2 // INTERMEDIATE e + umlal v22.2d, v14.2s, v8.2s + and x24, x0, #0x1ffffff // ubignum_of_xreglist 5 // INTERMEDIATE bbalt + umlal v22.2d, v2.2s, v24.2s + stp x11, x5, [tmpb+0] + umlal v22.2d, v12.2s, v5.2s + bfi x20, x0, #32, #25 // ubignum_of_preglist 2 // INTERMEDIATE bb + umlal v22.2d, v29.2s, v17.2s + umaddl x12, w6, w21, x12 + umull v18.2d, v1.2s, v4.2s + bfi x19, x10, #32, #25 // ubignum_of_preglist 3 // INTERMEDIATE bb + umlal v7.2d, v2.2s, v4.2s + sub x7, x14, x20 + umlal v27.2d, v19.2s, v13.2s + mov w8, w20 // ubignum_of_xreglist 4 // INTERMEDIATE bbalt + usra v10.2d, v22.2d, #26 + lsr x14, x7, #32 // ubignum_of_wreglist 5 + ubignum_of_wreglist 4 // INTERMEDIATE e + umlal v18.2d, v19.2s, v17.2s + and x28, x10, #0x1ffffff // ubignum_of_xreglist 7 // INTERMEDIATE bbalt + umlal v7.2d, v12.2s, v13.2s + sub x5, x2, x19 + usra v11.2d, v10.2d, #25 + mov w2, w19 // ubignum_of_xreglist 6 // INTERMEDIATE bbalt + umlal v27.2d, v0.2s, v4.2s + umlal v21.2d, v14.2s, v25.2s + sub x23, x4, x29 + usra v7.2d, v11.2d, #26 + mov w0, w29 // ubignum_of_xreglist 8 // INTERMEDIATE bbalt + umlal v18.2d, v0.2s, v28.2s + lsr x22, x23, #32 // ubignum_of_wreglist 9 + ubignum_of_wreglist 8 // INTERMEDIATE e + umlal v27.2d, v15.2s, v17.2s + str x29, [tmpb+32] + usra v6.2d, v7.2d, #25 + mov w17, w11 // ubignum_of_xreglist 0 // INTERMEDIATE bbalt + and v0.16b, v22.16b, v30.16b // ubignum_of_hreglist 0 + ubignum_of_lreglist 0 // INTERMEDIATE H|L = x5|t3 + umaddl x27, w26, w21, x1 + umlal v18.2d, v14.2s, v13.2s + umaddl x30, w23, w21, x0 + umlal v18.2d, v2.2s, v3.2s + lsr x10, x5, #32 // ubignum_of_wreglist 7 + ubignum_of_wreglist 6 // INTERMEDIATE e + and v4.16b, v6.16b, v30.16b // ubignum_of_hreglist 4 + ubignum_of_lreglist 4 // INTERMEDIATE H|L = x5|t3 + and v1.16b, v10.16b, v23.16b // ubignum_of_hreglist 1 + ubignum_of_lreglist 1 // INTERMEDIATE H|L = x5|t3 + umaddl x4, w14, w21, x24 + ldr x0, [tmpa+0] + mov v0.s[1], w0 + lsr x0, x0, #32 + mov v1.s[1], w0 + umaddl x9, w7, w21, x8 + usra v18.2d, v6.2d, #26 + umaddl x24, w10, w21, x28 + and v3.16b, v7.16b, v23.16b // ubignum_of_hreglist 3 + ubignum_of_lreglist 3 // INTERMEDIATE H|L = x5|t3 + umaddl x8, w22, w21, x15 + umlal v27.2d, v14.2s, v26.2s + umaddl x15, w13, w21, x17 + usra v21.2d, v18.2d, #25 + stp x20, x19, [tmpb+16] + and v2.16b, v11.16b, v30.16b // ubignum_of_hreglist 2 + ubignum_of_lreglist 2 // INTERMEDIATE H|L = x5|t3 + lsr x29, x8, #25 + ldr x3, [tmpb+0] + mov v10.s[1], w3 + lsr x3, x3, #32 + mov v11.s[1], w3 + add x17, x15, x29 + usra v27.2d, v21.2d, #26 + add x28, x17, x29, lsl #1 + and v6.16b, v21.16b, v30.16b // ubignum_of_hreglist 6 + ubignum_of_lreglist 6 // INTERMEDIATE H|L = x5|t3 + and x20, x8, #0x1ffffff + and v5.16b, v18.16b, v23.16b // ubignum_of_hreglist 5 + ubignum_of_lreglist 5 // INTERMEDIATE H|L = x5|t3 + add x17, x28, x29, lsl #4 + and v7.16b, v27.16b, v23.16b // ubignum_of_hreglist 7 + ubignum_of_lreglist 7 // INTERMEDIATE H|L = x5|t3 + ldr x3, [tmpb+8] + mov v22.s[1], w3 + lsr x3, x3, #32 + mov v23.s[1], w3 + add x29, x25, x17, lsr #26 + ldr x15, [pointx+0] + mov v10.s[0], w15 + lsr x15, x15, #32 + mov v11.s[0], w15 + and x11, x17, #0x3ffffff // ubignum_of_xreglist 0 // INTERMEDIATE bce + usra v16.2d, v27.2d, #25 + add x8, x12, x29, lsr #25 + ldr x3, [tmpb+16] + mov v14.s[1], w3 + lsr x3, x3, #32 + mov v15.s[1], w3 + and x12, x29, #0x1ffffff // ubignum_of_xreglist 1 // INTERMEDIATE bce + ldr x15, [pointx+8] + mov v22.s[0], w15 + lsr x15, x15, #32 + mov v23.s[0], w15 + add x28, x27, x8, lsr #26 + and v8.16b, v16.16b, v30.16b // ubignum_of_hreglist 8 + ubignum_of_lreglist 8 // INTERMEDIATE H|L = x5|t3 + umull x1, w12, w10 + ldr x3, [tmpb+24] + mov v17.s[1], w3 + lsr x3, x3, #32 + mov v18.s[1], w3 + add x25, x9, x28, lsr #25 + ldr x15, [pointx+16] + mov v14.s[0], w15 + lsr x15, x15, #32 + mov v15.s[0], w15 + umaddl x19, w5, w21, x2 + usra v9.2d, v16.2d, #26 // ubignum_of_hreglist 8 + ubignum_of_lreglist 8 // INTERMEDIATE H|L = x5|t3 + add x2, x4, x25, lsr #26 + ldr x3, [tmpb+32] + mov v24.s[1], w3 + lsr x3, x3, #32 + mov v25.s[1], w3 + umull x3, w12, w23 + ldr x15, [pointx+24] + mov v17.s[0], w15 + lsr x15, x15, #32 + mov v18.s[0], w15 + add x29, x19, x2, lsr #25 + umull v26.2d, v0.2s, v23.2s + and x21, x28, #0x1ffffff // ubignum_of_xreglist 3 // INTERMEDIATE bce + ldr x0, [tmpa+8] + mov v2.s[1], w0 + lsr x0, x0, #32 + mov v3.s[1], w0 + umaddl x27, w21, w5, x3 + ldr x15, [pointx+32] + mov v24.s[0], w15 + lsr x15, x15, #32 + mov v25.s[0], w15 + add x17, x24, x29, lsr #26 + umull v29.2d, v1.2s, v18.2s + and x15, x8, #0x3ffffff // ubignum_of_xreglist 2 // INTERMEDIATE bce + umull v20.2d, v0.2s, v15.2s + add x19, x30, x17, lsr #25 + and x3, x17, #0x1ffffff // ubignum_of_xreglist 7 // INTERMEDIATE bce + mul v12.2s, v25.2s, v31.2s + ldr x0, [tmpa+16] + mov v4.s[1], w0 + lsr x0, x0, #32 + mov v5.s[1], w0 + add x4, x20, x19, lsr #26 // ubignum_of_xreglist 9 // INTERMEDIATE bce + umlal v26.2d, v2.2s, v11.2s + add w28, w3, w3, lsl #1; + umlal v20.2d, v2.2s, v23.2s + add w28, w28, w3, lsl #4 + umull x8, w12, w5 + ldr x0, [tmpa+24] + mov v6.s[1], w0 + lsr x0, x0, #32 + mov v7.s[1], w0 + and x30, x25, #0x3ffffff // ubignum_of_xreglist 4 // INTERMEDIATE bce + mul v16.2s, v18.2s, v31.2s + add w17, w4, w4, lsl #1; + umull v21.2d, v1.2s, v15.2s + add w17, w17, w4, lsl #4 + umaddl x25, w21, w7, x8 + umlal v20.2d, v4.2s, v11.2s + add w8, w21, w21, lsl #1; + ldr x0, [tmpa+32] + add w8, w8, w21, lsl #4 + mov v8.s[1], w0 + lsr x0, x0, #32 + mov v9.s[1], w0 + and x2, x2, #0x1ffffff // ubignum_of_xreglist 5 // INTERMEDIATE bce + umlal v29.2d, v3.2s, v15.2s + umaddl x24, w2, w6, x25 + umull v13.2d, v0.2s, v25.2s + umaddl x25, w2, w7, x27 + umaddl x0, w3, w6, x25 + mul v19.2s, v15.2s, v31.2s + umull v27.2d, v0.2s, v18.2s + umaddl x20, w3, w13, x24 + umlal v20.2d, v6.2s, v12.2s + umaddl x24, w21, w14, x1 + umlal v13.2d, v2.2s, v18.2s + umaddl x9, w4, w13, x0 + umull v25.2d, v0.2s, v11.2s + umaddl x20, w17, w23, x20 + umlal v27.2d, v2.2s, v15.2s + umaddl x0, w2, w26, x24 + umull v28.2d, v1.2s, v11.2s + umull x24, w17, w5 + umlal v29.2d, v5.2s, v23.2s + umaddl x9, w11, w22, x9 + umlal v13.2d, v4.2s, v15.2s + umaddl x27, w3, w16, x0 + umlal v27.2d, v4.2s, v23.2s + umull x0, w17, w14 + umlal v27.2d, v6.2s, v11.2s + umull x4, w12, w14 + umlal v27.2d, v8.2s, v12.2s + umaddl x25, w11, w10, x20 + umlal v27.2d, v1.2s, v17.2s + umaddl x0, w28, w10, x0 + umlal v13.2d, v6.2s, v23.2s + umull x3, w17, w6 + umlal v13.2d, v8.2s, v11.2s + umaddl x1, w21, w26, x4 + umlal v20.2d, v8.2s, v16.2s + umaddl x4, w2, w13, x24 + umlal v28.2d, v3.2s, v12.2s + umaddl x20, w28, w7, x3 + umlal v29.2d, v7.2s, v11.2s + and x3, x19, #0x3ffffff // ubignum_of_xreglist 9 // INTERMEDIATE bce + umlal v29.2d, v9.2s, v12.2s + umaddl x19, w17, w22, x27 + add w27, w2, w2, lsl #1; + mul v18.2s, v24.2s, v31.2s + add w27, w27, w2, lsl #4 + umlal v21.2d, v3.2s, v23.2s + umull x24, w17, w7 + umlal v13.2d, v1.2s, v24.2s + add x19, x19, x19 + shl v29.2d, v29.2d, #1 + umaddl x1, w2, w16, x1 + umull v15.2d, v1.2s, v23.2s + umaddl x0, w27, w22, x0 + umlal v29.2d, v0.2s, v24.2s + umaddl x2, w28, w5, x24 + mul v24.2s, v23.2s, v31.2s + umaddl x4, w28, w23, x4 + umlal v21.2d, v5.2s, v11.2s + umaddl x24, w27, w5, x20 + umlal v20.2d, v1.2s, v14.2s + umaddl x20, w11, w23, x19 + umlal v26.2d, v4.2s, v12.2s + umaddl x19, w27, w23, x2 + umlal v26.2d, v6.2s, v16.2s + umaddl x2, w21, w6, x4 + umlal v29.2d, v2.2s, v17.2s + umaddl x24, w8, w23, x24 + umlal v15.2d, v3.2s, v11.2s + umaddl x0, w21, w16, x0 + umaddl x4, w21, w13, x19 + mul v23.2s, v11.2s, v31.2s + umlal v20.2d, v3.2s, v22.2s + umaddl x2, w12, w7, x2 + umlal v20.2d, v5.2s, v10.2s + umaddl x19, w12, w26, x0 + umlal v29.2d, v4.2s, v14.2s + umaddl x0, w12, w13, x24 + umlal v26.2d, v8.2s, v19.2s + umaddl x20, w15, w5, x20 + umlal v26.2d, v1.2s, v22.2s + umaddl x21, w15, w10, x9 + umlal v26.2d, v3.2s, v10.2s + and x9, x29, #0x3ffffff // ubignum_of_xreglist 6 // INTERMEDIATE bce + umlal v29.2d, v6.2s, v22.2s + umaddl x20, w30, w7, x20 + umaddl x1, w28, w22, x1 + add x24, x19, x19 + umull v11.2d, v1.2s, v12.2s + add w19, w3, w3, lsl #1; + umlal v26.2d, v5.2s, v18.2s + add w19, w19, w3, lsl #4 + umaddl x20, w9, w6, x20 + umlal v29.2d, v8.2s, v10.2s + add w29, w9, w9, lsl #1; + umlal v13.2d, v3.2s, v17.2s + add w29, w29, w9, lsl #4 + umaddl x2, w19, w10, x2 + umlal v11.2d, v3.2s, v16.2s + umaddl x21, w30, w14, x21 + umlal v11.2d, v5.2s, v19.2s + umaddl x20, w3, w13, x20 + umlal v11.2d, v7.2s, v24.2s + umaddl x2, w29, w22, x2 + umlal v11.2d, v9.2s, v23.2s + umaddl x21, w9, w26, x21 + ushr v23.2d, v30.2d, #1 + umaddl x1, w17, w10, x1 + umlal v13.2d, v5.2s, v14.2s + umaddl x24, w19, w5, x24 + umlal v27.2d, v3.2s, v14.2s + umaddl x21, w3, w16, x21 + shl v11.2d, v11.2d, #1 + add w3, w30, w30, lsl #1; + umlal v28.2d, v5.2s, v16.2s + add w3, w3, w30, lsl #4 + umaddl x24, w29, w23, x24 + umlal v28.2d, v7.2s, v19.2s + add x1, x1, x1 + umlal v28.2d, v9.2s, v24.2s + umaddl x1, w11, w5, x1 + umlal v15.2d, v5.2s, v12.2s + umaddl x24, w30, w13, x24 + umlal v15.2d, v7.2s, v16.2s + umaddl x25, w15, w14, x25 + umlal v15.2d, v9.2s, v19.2s + umaddl x1, w15, w7, x1 + shl v28.2d, v28.2d, #1 + umaddl x24, w15, w6, x24 + umlal v21.2d, v7.2s, v12.2s + umaddl x2, w30, w16, x2 + umlal v21.2d, v9.2s, v16.2s + umaddl x25, w30, w26, x25 + shl v15.2d, v15.2d, #1 + umaddl x30, w30, w6, x1 + umlal v28.2d, v0.2s, v22.2s + umaddl x1, w15, w26, x2 + umlal v28.2d, v2.2s, v10.2s + umaddl x2, w9, w16, x25 + shl v21.2d, v21.2d, #1 + umaddl x24, w11, w7, x24 + umlal v15.2d, v0.2s, v14.2s + umaddl x1, w11, w14, x1 + umlal v21.2d, v0.2s, v17.2s + umaddl x25, w9, w13, x30 + umlal v28.2d, v4.2s, v18.2s + umaddl x0, w19, w26, x0 + umlal v25.2d, v2.2s, v12.2s + add x1, x1, x24, lsr #26 + umlal v25.2d, v4.2s, v16.2s + umaddl x30, w19, w22, x2 + umlal v21.2d, v2.2s, v14.2s + umaddl x4, w12, w6, x4 + mul v14.2s, v14.2s, v31.2s + umaddl x25, w19, w23, x25 + and x2, x1, #0x1ffffff + mul v16.2s, v17.2s, v31.2s + umlal v25.2d, v6.2s, v19.2s + umaddl x9, w19, w14, x4 + umlal v13.2d, v7.2s, v22.2s + add x25, x25, x1, lsr #25 + umlal v21.2d, v4.2s, v22.2s + umaddl x0, w29, w14, x0 + umlal v26.2d, v7.2s, v16.2s + add x30, x30, x25, lsr #26 + umlal v26.2d, v9.2s, v14.2s + add w1, w15, w15, lsl #1; + umlal v28.2d, v6.2s, v16.2s + add w1, w1, w15, lsl #4 + add x4, x20, x30, lsr #25 + umlal v28.2d, v8.2s, v14.2s + and x25, x25, #0x3ffffff + umlal v15.2d, v2.2s, v22.2s + add x21, x21, x4, lsr #26 + umlal v11.2d, v0.2s, v10.2s + bfi x25, x30, #32, #25 // ubignum_of_preglist 3 // INTERMEDIATE z4 + umlal v11.2d, v2.2s, v18.2s + bic x30, x21, #0x3ffffff + usra v26.2d, v28.2d, #26 + lsr x20, x30, #26 + umlal v15.2d, v4.2s, v10.2s + add x20, x20, x30, lsr #25 + umlal v15.2d, v6.2s, v18.2s + umaddl x9, w29, w10, x9 + umlal v15.2d, v8.2s, v16.2s + add x30, x20, x30, lsr #22 + umlal v27.2d, v5.2s, v22.2s + umull x20, w17, w26 + umlal v20.2d, v7.2s, v18.2s + umaddl x30, w17, w16, x30 + umlal v20.2d, v9.2s, v16.2s + umaddl x17, w3, w10, x0 + usra v15.2d, v26.2d, #25 + umaddl x0, w28, w14, x20 + umlal v27.2d, v7.2s, v10.2s + umaddl x20, w28, w26, x30 + umlal v27.2d, v9.2s, v18.2s + add w28, w12, w12, lsl #1; + usra v20.2d, v15.2d, #26 + add w28, w28, w12, lsl #4 + umaddl x30, w27, w10, x0 + and v17.16b, v15.16b, v30.16b // ubignum_of_hreglist 4 + ubignum_of_lreglist 4 // INTERMEDIATE H|L = x4|z5 + umaddl x27, w27, w14, x20 + umaddl x0, w8, w10, x27 + mul v12.2s, v22.2s, v31.2s + and v15.16b, v20.16b, v23.16b // ubignum_of_hreglist 5 + ubignum_of_lreglist 5 // INTERMEDIATE H|L = x4|z5 + umaddl x14, w3, w22, x9 + umlal v21.2d, v6.2s, v10.2s + umaddl x27, w8, w22, x30 + trn1 v15.4s, v17.4s, v15.4s // FINAL z3 + umaddl x10, w28, w22, x0 + umlal v11.2d, v4.2s, v16.2s + umaddl x30, w15, w16, x14 + and v26.16b, v26.16b, v23.16b + umaddl x28, w12, w16, x27 + umlal v21.2d, v8.2s, v18.2s + add x10, x10, x10 + umlal v25.2d, v8.2s, v24.2s + umaddl x20, w19, w6, x10 + umlal v25.2d, v1.2s, v10.2s + add x28, x28, x28 + umlal v25.2d, v3.2s, v18.2s + umaddl x28, w19, w7, x28 + usra v21.2d, v20.2d, #25 + umaddl x0, w29, w7, x20 + umlal v11.2d, v6.2s, v14.2s + umaddl x10, w11, w26, x30 + umlal v13.2d, v9.2s, v10.2s + umaddl x19, w29, w5, x28 + usra v27.2d, v21.2d, #26 + umaddl x0, w3, w5, x0 + umlal v25.2d, v5.2s, v16.2s + umaddl x20, w1, w22, x17 + and v20.16b, v28.16b, v30.16b + umaddl x29, w3, w23, x19 + usra v29.2d, v27.2d, #25 + umaddl x3, w1, w23, x0 + and v27.16b, v27.16b, v23.16b // ubignum_of_hreglist 7 + ubignum_of_lreglist 7 // INTERMEDIATE H|L = x4|z5 + umlal v11.2d, v8.2s, v12.2s + umaddl x12, w15, w13, x29 + usra v13.2d, v29.2d, #26 + umaddl x7, w11, w13, x3 + trn1 v6.4s, v6.4s, v7.4s + umaddl x17, w11, w16, x20 + umlal v25.2d, v7.2s, v14.2s + and x23, x4, #0x3ffffff + bic v19.16b, v13.16b, v23.16b + umaddl x19, w11, w6, x12 + and v28.16b, v13.16b, v23.16b // ubignum_of_hreglist 9 + ubignum_of_lreglist 9 // INTERMEDIATE H|L = x4|z5 + add x3, x17, x7, lsr #26 + usra v11.2d, v19.2d, #25 + trn1 v2.4s, v2.4s, v3.4s + add x17, x19, x3, lsr #25 + and v13.16b, v21.16b, v30.16b // ubignum_of_hreglist 6 + ubignum_of_lreglist 6 // INTERMEDIATE H|L = x4|z5 + and x5, x7, #0x3ffffff + usra v11.2d, v19.2d, #24 + add x7, x10, x17, lsr #26 + trn1 v0.4s, v0.4s, v1.4s + and x19, x24, #0x3ffffff + and v21.16b, v29.16b, v30.16b // ubignum_of_hreglist 8 + ubignum_of_lreglist 8 // INTERMEDIATE H|L = x4|z5 + add x29, x19, x7, lsr #25 + usra v11.2d, v19.2d, #21 + bfi x5, x3, #32, #25 // ubignum_of_preglist 0 // INTERMEDIATE z4 + trn1 v17.4s, v13.4s, v27.4s // FINAL z3 + add x19, x2, x29, lsr #26 + trn1 v19.4s, v21.4s, v28.4s // FINAL z3 + and x3, x29, #0x3ffffff + mov v16.d[0], v6.d[1] // FINAL x3 + mov v6.d[0], v17.d[1] // FINAL x2 + trn1 v8.4s, v8.4s, v9.4s + bfi x3, x19, #32, #26 // ubignum_of_preglist 2 // INTERMEDIATE z4 + and v21.16b, v11.16b, v30.16b // ubignum_of_hreglist 0 + ubignum_of_lreglist 0 // INTERMEDIATE H|L = x4|z5 + bfi x23, x21, #32, #26 // ubignum_of_preglist 4 // INTERMEDIATE z4 + mov v18.d[0], v8.d[1] // FINAL x3 + mov v8.d[0], v19.d[1] // FINAL x2 + umlal v25.2d, v9.2s, v12.2s + mov v9.d[0], x23 // FINAL z2 + mov v7.d[0], x25 // FINAL z2 + ldr d29, [mask1] + mov v12.d[0], v2.d[1] // FINAL x3 + trn1 v4.4s, v4.4s, v5.4s + and x17, x17, #0x3ffffff + usra v25.2d, v11.2d, #26 + mov v10.d[0], v0.d[1] // FINAL x3 + mov v14.d[0], v4.d[1] // FINAL x3 + mov v4.d[0], v15.d[1] // FINAL x2 + usra v20.2d, v25.2d, #25 + and v27.16b, v25.16b, v23.16b // ubignum_of_hreglist 1 + ubignum_of_lreglist 1 // INTERMEDIATE H|L = x4|z5 + bfi x17, x7, #32, #25 // ubignum_of_preglist 1 // INTERMEDIATE z4 + mov v5.d[0], x3 + mov v1.d[0], x5 // FINAL z2 + usra v26.2d, v20.2d, #26 // ubignum_of_hreglist 3 + ubignum_of_lreglist 3 // INTERMEDIATE H|L = x4|z5 + and v28.16b, v20.16b, v30.16b // ubignum_of_hreglist 2 + ubignum_of_lreglist 2 // INTERMEDIATE H|L = x4|z5 + trn1 v11.4s, v21.4s, v27.4s // FINAL z3 + trn1 v13.4s, v28.4s, v26.4s // FINAL z3 + mov v0.d[0], v11.d[1] // FINAL x2 + mov v3.d[0], x17 // FINAL z2 + mov v2.d[0], v13.d[1] // FINAL x2 + ldr d28, [mask2] + + ldr x0, [i] + subs x0, x0, #1 + str x0, [i] + bcs Lcurve25519_x25519_scalarloop + +// Repack X2 into the saturated representation as 256-bit value xn. +// This does not fully normalize mod 2^255-19 but stays within 256 bits. + + mov w0, v0.s[0] + mov w1, v0.s[1] + mov w2, v2.s[0] + mov w3, v2.s[1] + mov w4, v4.s[0] + mov w5, v4.s[1] + mov w6, v6.s[0] + mov w7, v6.s[1] + mov w8, v8.s[0] + mov w9, v8.s[1] + + add x0, x0, x1, lsl #26 + add x1, x2, x3, lsl #26 + add x2, x4, x5, lsl #26 + add x3, x6, x7, lsl #26 + add x4, x8, x9, lsl #26 + + adds x0, x0, x1, lsl #51 + lsr x6, x1, #13 + lsl x7, x2, #38 + adcs x1, x6, x7 + lsr x8, x2, #26 + lsl x9, x3, #25 + adcs x2, x8, x9 + lsr x10, x3, #39 + lsl x11, x4, #12 + adc x3, x10, x11 + stp x0, x1, [xn] + stp x2, x3, [xn+16] + +// Repack Z2 into the saturated representation as 256-bit value zn. +// This does not fully normalize mod 2^255-19. However since Z2, +// unlike X2, was not repacked (within the last multiplication) in +// right-to-left order, its top digit can be any 26-bit value, on +// the face of it. To make sure we don't overflow 256 bits here +// we remove b = 25th bit of the 9th digit (now scaled by 2^230 +// giving bit 25 a final weighting of 2^255) and add 19 * b to +// to the bottom of the sum here to compensate mod 2^255-19. + + mov w0, v1.s[0] + mov w1, v1.s[1] + mov w2, v3.s[0] + mov w3, v3.s[1] + mov w4, v5.s[0] + mov w5, v5.s[1] + mov w6, v7.s[0] + mov w7, v7.s[1] + mov w8, v9.s[0] + mov w9, v9.s[1] + + mov w10, #19 + add x0, x0, x1, lsl #26 + tst x9, #0x2000000 + add x1, x2, x3, lsl #26 + csel x10, x10, xzr, ne + add x2, x4, x5, lsl #26 + and x9, x9, #0x1FFFFFF + add x3, x6, x7, lsl #26 + add x0, x0, x10 + add x4, x8, x9, lsl #26 + + adds x0, x0, x1, lsl #51 + lsr x6, x1, #13 + lsl x7, x2, #38 + adcs x1, x6, x7 + lsr x8, x2, #26 + lsl x9, x3, #25 + adcs x2, x8, x9 + lsr x10, x3, #39 + lsl x11, x4, #12 + adc x3, x10, x11 + stp x0, x1, [zn] + stp x2, x3, [zn+16] + +// Because the lowest bit (indeed, the three lowest bits) of the scalar +// were forced to zero, we know that the projective result of the scalar +// multiplication was in (X2,Z2) and is now (xn,zn) in saturated form. +// Prepare to call the modular inverse function to get zn' = 1/zn. + + add x0, zn + add x1, zn + +// Inline copy of bignum_inv_p25519, identical except for stripping out +// the prologue and epilogue saving and restoring registers and making +// and reclaiming room on the stack. For more details and explanations see +// "arm/curve25519/bignum_inv_p25519.S". Note that the stack it uses for +// its own temporaries is 128 bytes, so it has no effect on variables +// that are needed in the rest of our computation here: res, xn, and zn. + + mov x20, x0 + mov x10, #0xffffffffffffffed + mov x11, #0xffffffffffffffff + stp x10, x11, [sp] + mov x12, #0x7fffffffffffffff + stp x11, x12, [sp, #16] + ldp x2, x3, [x1] + ldp x4, x5, [x1, #16] + mov x7, #0x13 + lsr x6, x5, #63 + madd x6, x7, x6, x7 + adds x2, x2, x6 + adcs x3, x3, xzr + adcs x4, x4, xzr + orr x5, x5, #0x8000000000000000 + adcs x5, x5, xzr + csel x6, x7, xzr, cc + subs x2, x2, x6 + sbcs x3, x3, xzr + sbcs x4, x4, xzr + sbc x5, x5, xzr + and x5, x5, #0x7fffffffffffffff + stp x2, x3, [sp, #32] + stp x4, x5, [sp, #48] + stp xzr, xzr, [sp, #64] + stp xzr, xzr, [sp, #80] + mov x10, #0x2099 + movk x10, #0x7502, lsl #16 + movk x10, #0x9e23, lsl #32 + movk x10, #0xa0f9, lsl #48 + mov x11, #0x2595 + movk x11, #0x1d13, lsl #16 + movk x11, #0x8f3f, lsl #32 + movk x11, #0xa8c6, lsl #48 + mov x12, #0x5242 + movk x12, #0x5ac, lsl #16 + movk x12, #0x8938, lsl #32 + movk x12, #0x6c6c, lsl #48 + mov x13, #0x615 + movk x13, #0x4177, lsl #16 + movk x13, #0x8b2, lsl #32 + movk x13, #0x2765, lsl #48 + stp x10, x11, [sp, #96] + stp x12, x13, [sp, #112] + mov x21, #0xa + mov x22, #0x1 + b Lcurve25519_x25519_invmidloop +Lcurve25519_x25519_invloop: + cmp x10, xzr + csetm x14, mi + cneg x10, x10, mi + cmp x11, xzr + csetm x15, mi + cneg x11, x11, mi + cmp x12, xzr + csetm x16, mi + cneg x12, x12, mi + cmp x13, xzr + csetm x17, mi + cneg x13, x13, mi + and x0, x10, x14 + and x1, x11, x15 + add x9, x0, x1 + and x0, x12, x16 + and x1, x13, x17 + add x19, x0, x1 + ldr x7, [sp] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #32] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + adc x2, x2, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x5, x19, x0 + adc x3, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x7, [sp, #8] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #40] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + adc x6, x6, x1 + extr x4, x2, x4, #59 + str x4, [sp] + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x3, x3, x0 + adc x4, x4, x1 + extr x5, x3, x5, #59 + str x5, [sp, #32] + ldr x7, [sp, #16] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #48] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + adc x5, x5, x1 + extr x2, x6, x2, #59 + str x2, [sp, #8] + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x4, x4, x0 + adc x2, x2, x1 + extr x3, x4, x3, #59 + str x3, [sp, #40] + ldr x7, [sp, #24] + eor x1, x7, x14 + asr x3, x1, #63 + and x3, x3, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #56] + eor x1, x8, x15 + asr x0, x1, #63 + and x0, x0, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x5, x6, #59 + str x6, [sp, #16] + extr x5, x3, x5, #59 + str x5, [sp, #24] + eor x1, x7, x16 + asr x5, x1, #63 + and x5, x5, x12 + neg x5, x5 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, x17 + asr x0, x1, #63 + and x0, x0, x13 + sub x5, x5, x0 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x2, x2, x0 + adc x5, x5, x1 + extr x4, x2, x4, #59 + str x4, [sp, #48] + extr x2, x5, x2, #59 + str x2, [sp, #56] + ldr x7, [sp, #64] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #96] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + str x4, [sp, #64] + adc x2, x2, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x5, x19, x0 + adc x3, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x5, x5, x0 + str x5, [sp, #96] + adc x3, x3, x1 + ldr x7, [sp, #72] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #104] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + str x2, [sp, #72] + adc x6, x6, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x3, x3, x0 + str x3, [sp, #104] + adc x4, x4, x1 + ldr x7, [sp, #80] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #112] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + str x6, [sp, #80] + adc x5, x5, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x4, x4, x0 + str x4, [sp, #112] + adc x2, x2, x1 + ldr x7, [sp, #88] + eor x1, x7, x14 + and x3, x14, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #120] + eor x1, x8, x15 + and x0, x15, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x3, x5, #63 + ldp x0, x1, [sp, #64] + add x6, x6, x3, asr #63 + mov x3, #0x13 + mul x4, x6, x3 + add x5, x5, x6, lsl #63 + smulh x3, x6, x3 + ldr x6, [sp, #80] + adds x0, x0, x4 + adcs x1, x1, x3 + asr x3, x3, #63 + adcs x6, x6, x3 + adc x5, x5, x3 + stp x0, x1, [sp, #64] + stp x6, x5, [sp, #80] + eor x1, x7, x16 + and x5, x16, x12 + neg x5, x5 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, x17 + and x0, x17, x13 + sub x5, x5, x0 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x2, x2, x0 + adc x5, x5, x1 + extr x6, x5, x2, #63 + ldp x0, x1, [sp, #96] + add x6, x6, x5, asr #63 + mov x5, #0x13 + mul x4, x6, x5 + add x2, x2, x6, lsl #63 + smulh x5, x6, x5 + ldr x3, [sp, #112] + adds x0, x0, x4 + adcs x1, x1, x5 + asr x5, x5, #63 + adcs x3, x3, x5 + adc x2, x2, x5 + stp x0, x1, [sp, #96] + stp x3, x2, [sp, #112] +Lcurve25519_x25519_invmidloop: + mov x1, x22 + ldr x2, [sp] + ldr x3, [sp, #32] + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x8, x4, #0x100, lsl #12 + sbfx x8, x8, #21, #21 + mov x11, #0x100000 + add x11, x11, x11, lsl #21 + add x9, x4, x11 + asr x9, x9, #42 + add x10, x5, #0x100, lsl #12 + sbfx x10, x10, #21, #21 + add x11, x5, x11 + asr x11, x11, #42 + mul x6, x8, x2 + mul x7, x9, x3 + mul x2, x10, x2 + mul x3, x11, x3 + add x4, x6, x7 + add x5, x2, x3 + asr x2, x4, #20 + asr x3, x5, #20 + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x12, x4, #0x100, lsl #12 + sbfx x12, x12, #21, #21 + mov x15, #0x100000 + add x15, x15, x15, lsl #21 + add x13, x4, x15 + asr x13, x13, #42 + add x14, x5, #0x100, lsl #12 + sbfx x14, x14, #21, #21 + add x15, x5, x15 + asr x15, x15, #42 + mul x6, x12, x2 + mul x7, x13, x3 + mul x2, x14, x2 + mul x3, x15, x3 + add x4, x6, x7 + add x5, x2, x3 + asr x2, x4, #20 + asr x3, x5, #20 + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + mul x2, x12, x8 + mul x3, x12, x9 + mul x6, x14, x8 + mul x7, x14, x9 + madd x8, x13, x10, x2 + madd x9, x13, x11, x3 + madd x16, x15, x10, x6 + madd x17, x15, x11, x7 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x12, x4, #0x100, lsl #12 + sbfx x12, x12, #22, #21 + mov x15, #0x100000 + add x15, x15, x15, lsl #21 + add x13, x4, x15 + asr x13, x13, #43 + add x14, x5, #0x100, lsl #12 + sbfx x14, x14, #22, #21 + add x15, x5, x15 + asr x15, x15, #43 + mneg x2, x12, x8 + mneg x3, x12, x9 + mneg x4, x14, x8 + mneg x5, x14, x9 + msub x10, x13, x16, x2 + msub x11, x13, x17, x3 + msub x12, x15, x16, x4 + msub x13, x15, x17, x5 + mov x22, x1 + subs x21, x21, #0x1 + b.ne Lcurve25519_x25519_invloop + ldr x0, [sp] + ldr x1, [sp, #32] + mul x0, x0, x10 + madd x1, x1, x11, x0 + asr x0, x1, #63 + cmp x10, xzr + csetm x14, mi + cneg x10, x10, mi + eor x14, x14, x0 + cmp x11, xzr + csetm x15, mi + cneg x11, x11, mi + eor x15, x15, x0 + cmp x12, xzr + csetm x16, mi + cneg x12, x12, mi + eor x16, x16, x0 + cmp x13, xzr + csetm x17, mi + cneg x13, x13, mi + eor x17, x17, x0 + and x0, x10, x14 + and x1, x11, x15 + add x9, x0, x1 + ldr x7, [sp, #64] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #96] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + str x4, [sp, #64] + adc x2, x2, x1 + ldr x7, [sp, #72] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #104] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + str x2, [sp, #72] + adc x6, x6, x1 + ldr x7, [sp, #80] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #112] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + str x6, [sp, #80] + adc x5, x5, x1 + ldr x7, [sp, #88] + eor x1, x7, x14 + and x3, x14, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #120] + eor x1, x8, x15 + and x0, x15, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x3, x5, #63 + ldp x0, x1, [sp, #64] + tst x3, x3 + cinc x6, x6, pl + mov x3, #0x13 + mul x4, x6, x3 + add x5, x5, x6, lsl #63 + smulh x6, x6, x3 + ldr x2, [sp, #80] + adds x0, x0, x4 + adcs x1, x1, x6 + asr x6, x6, #63 + adcs x2, x2, x6 + adcs x5, x5, x6 + csel x3, x3, xzr, mi + subs x0, x0, x3 + sbcs x1, x1, xzr + sbcs x2, x2, xzr + sbc x5, x5, xzr + and x5, x5, #0x7fffffffffffffff + mov x4, x20 + stp x0, x1, [x4] + stp x2, x5, [x4, #16] + +// Now the result is xn * (1/zn), fully reduced modulo p. +// Note that in the degenerate case zn = 0 (mod p_25519), the +// modular inverse code above will produce 1/zn = 0, giving +// the correct overall X25519 result of zero for the point at +// infinity. The multiplication below is just an inlined +// version of bignum_mul_p25519 except for the detailed +// addressing of inputs and outputs + + ldr x17, [res] + + ldp x3, x4, [xn] + ldp x5, x6, [zn] + umull x7, w3, w5 + lsr x0, x3, #32 + umull x15, w0, w5 + lsr x16, x5, #32 + umull x8, w16, w0 + umull x16, w3, w16 + adds x7, x7, x15, lsl #32 + lsr x15, x15, #32 + adc x8, x8, x15 + adds x7, x7, x16, lsl #32 + lsr x16, x16, #32 + adc x8, x8, x16 + mul x9, x4, x6 + umulh x10, x4, x6 + subs x4, x4, x3 + cneg x4, x4, cc + csetm x16, cc + adds x9, x9, x8 + adc x10, x10, xzr + subs x3, x5, x6 + cneg x3, x3, cc + cinv x16, x16, cc + mul x15, x4, x3 + umulh x3, x4, x3 + adds x8, x7, x9 + adcs x9, x9, x10 + adc x10, x10, xzr + cmn x16, #0x1 + eor x15, x15, x16 + adcs x8, x15, x8 + eor x3, x3, x16 + adcs x9, x3, x9 + adc x10, x10, x16 + ldp x3, x4, [xn+16] + ldp x5, x6, [zn+16] + umull x11, w3, w5 + lsr x0, x3, #32 + umull x15, w0, w5 + lsr x16, x5, #32 + umull x12, w16, w0 + umull x16, w3, w16 + adds x11, x11, x15, lsl #32 + lsr x15, x15, #32 + adc x12, x12, x15 + adds x11, x11, x16, lsl #32 + lsr x16, x16, #32 + adc x12, x12, x16 + mul x13, x4, x6 + umulh x14, x4, x6 + subs x4, x4, x3 + cneg x4, x4, cc + csetm x16, cc + adds x13, x13, x12 + adc x14, x14, xzr + subs x3, x5, x6 + cneg x3, x3, cc + cinv x16, x16, cc + mul x15, x4, x3 + umulh x3, x4, x3 + adds x12, x11, x13 + adcs x13, x13, x14 + adc x14, x14, xzr + cmn x16, #0x1 + eor x15, x15, x16 + adcs x12, x15, x12 + eor x3, x3, x16 + adcs x13, x3, x13 + adc x14, x14, x16 + ldp x3, x4, [xn+16] + ldp x15, x16, [xn] + subs x3, x3, x15 + sbcs x4, x4, x16 + csetm x16, cc + ldp x15, x0, [zn] + subs x5, x15, x5 + sbcs x6, x0, x6 + csetm x0, cc + eor x3, x3, x16 + subs x3, x3, x16 + eor x4, x4, x16 + sbc x4, x4, x16 + eor x5, x5, x0 + subs x5, x5, x0 + eor x6, x6, x0 + sbc x6, x6, x0 + eor x16, x0, x16 + adds x11, x11, x9 + adcs x12, x12, x10 + adcs x13, x13, xzr + adc x14, x14, xzr + mul x2, x3, x5 + umulh x0, x3, x5 + mul x15, x4, x6 + umulh x1, x4, x6 + subs x4, x4, x3 + cneg x4, x4, cc + csetm x9, cc + adds x15, x15, x0 + adc x1, x1, xzr + subs x6, x5, x6 + cneg x6, x6, cc + cinv x9, x9, cc + mul x5, x4, x6 + umulh x6, x4, x6 + adds x0, x2, x15 + adcs x15, x15, x1 + adc x1, x1, xzr + cmn x9, #0x1 + eor x5, x5, x9 + adcs x0, x5, x0 + eor x6, x6, x9 + adcs x15, x6, x15 + adc x1, x1, x9 + adds x9, x11, x7 + adcs x10, x12, x8 + adcs x11, x13, x11 + adcs x12, x14, x12 + adcs x13, x13, xzr + adc x14, x14, xzr + cmn x16, #0x1 + eor x2, x2, x16 + adcs x9, x2, x9 + eor x0, x0, x16 + adcs x10, x0, x10 + eor x15, x15, x16 + adcs x11, x15, x11 + eor x1, x1, x16 + adcs x12, x1, x12 + adcs x13, x13, x16 + adc x14, x14, x16 + mov x3, #0x26 + umull x4, w11, w3 + add x4, x4, w7, uxtw + lsr x7, x7, #32 + lsr x11, x11, #32 + umaddl x11, w11, w3, x7 + mov x7, x4 + umull x4, w12, w3 + add x4, x4, w8, uxtw + lsr x8, x8, #32 + lsr x12, x12, #32 + umaddl x12, w12, w3, x8 + mov x8, x4 + umull x4, w13, w3 + add x4, x4, w9, uxtw + lsr x9, x9, #32 + lsr x13, x13, #32 + umaddl x13, w13, w3, x9 + mov x9, x4 + umull x4, w14, w3 + add x4, x4, w10, uxtw + lsr x10, x10, #32 + lsr x14, x14, #32 + umaddl x14, w14, w3, x10 + mov x10, x4 + lsr x0, x14, #31 + mov x5, #0x13 + umaddl x5, w5, w0, x5 + add x7, x7, x5 + adds x7, x7, x11, lsl #32 + extr x3, x12, x11, #32 + adcs x8, x8, x3 + extr x3, x13, x12, #32 + adcs x9, x9, x3 + extr x3, x14, x13, #32 + lsl x5, x0, #63 + eor x10, x10, x5 + adc x10, x10, x3 + mov x3, #0x13 + tst x10, #0x8000000000000000 + csel x3, x3, xzr, pl + subs x7, x7, x3 + sbcs x8, x8, xzr + sbcs x9, x9, xzr + sbc x10, x10, xzr + and x10, x10, #0x7fffffffffffffff + stp x7, x8, [x17] + stp x9, x10, [x17, #16] + +// Restore stack and registers (this will zero the tops of Q8...Q15). + + CFI_STACKLOAD2(d8,d9,NSPACE+0) + CFI_STACKLOAD2(d10,d11,NSPACE+16) + CFI_STACKLOAD2(d12,d13,NSPACE+32) + CFI_STACKLOAD2(d14,d15,NSPACE+48) + CFI_STACKLOAD2(x19,x20,NSPACE+64) + CFI_STACKLOAD2(x21,x22,NSPACE+80) + CFI_STACKLOAD2(x23,x24,NSPACE+96) + CFI_STACKLOAD2(x25,x26,NSPACE+112) + CFI_STACKLOAD2(x27,x28,NSPACE+128) + CFI_STACKLOAD2(x29,x30,NSPACE+144) + CFI_INC_SP((NSPACE+160)) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(curve25519_x25519) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/arm/curve25519_x25519_alt.S b/cbits/s2n/arm/curve25519_x25519_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/curve25519_x25519_alt.S @@ -0,0 +1,1702 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// The x25519 function for curve25519 +// Inputs scalar[4], point[4]; output res[4] +// +// extern void curve25519_x25519_alt +// (uint64_t res[static 4],const uint64_t scalar[static 4], +// const uint64_t point[static 4]); +// +// Given a scalar n and the X coordinate of an input point P = (X,Y) on +// curve25519 (Y can live in any extension field of characteristic 2^255-19), +// this returns the X coordinate of n * P = (X, Y), or 0 when n * P is the +// point at infinity. Both n and X inputs are first slightly modified/mangled +// as specified in the relevant RFC (https://www.rfc-editor.org/rfc/rfc7748); +// in particular the lower three bits of n are set to zero. Does not implement +// the zero-check specified in Section 6.1. +// +// Standard ARM ABI: X0 = res, X1 = scalar, X2 = point +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(curve25519_x25519_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(curve25519_x25519_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(curve25519_x25519_alt) + + .text + .balign 4 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Stable homes for the input result argument during the whole body +// and other variables that are only needed prior to the modular inverse. + +#define res x23 +#define i x20 +#define swap x21 + +// Pointers to result x coord to be written + +#define resx res, #0 + +// Pointer-offset pairs for temporaries on stack with some aliasing. + +#define scalar sp, #(0*NUMSIZE) + +#define pointx sp, #(1*NUMSIZE) + +#define zm sp, #(2*NUMSIZE) +#define sm sp, #(2*NUMSIZE) +#define dpro sp, #(2*NUMSIZE) + +#define sn sp, #(3*NUMSIZE) + +#define dm sp, #(4*NUMSIZE) + +#define zn sp, #(5*NUMSIZE) +#define dn sp, #(5*NUMSIZE) +#define e sp, #(5*NUMSIZE) + +#define dmsn sp, #(6*NUMSIZE) +#define p sp, #(6*NUMSIZE) + +#define xm sp, #(7*NUMSIZE) +#define dnsm sp, #(7*NUMSIZE) +#define spro sp, #(7*NUMSIZE) + +#define d sp, #(8*NUMSIZE) + +#define xn sp, #(9*NUMSIZE) +#define s sp, #(9*NUMSIZE) + +// Total size to reserve on the stack + +#define NSPACE 10*NUMSIZE + +// Macro wrapping up the basic field operation bignum_mul_p25519_alt, only +// trivially different from a pure function call to that subroutine. + +#define mul_p25519(P0,P1,P2) \ + ldp x3, x4, [P1] __LF \ + ldp x7, x8, [P2] __LF \ + mul x12, x3, x7 __LF \ + umulh x13, x3, x7 __LF \ + mul x11, x3, x8 __LF \ + umulh x14, x3, x8 __LF \ + adds x13, x13, x11 __LF \ + ldp x9, x10, [P2+16] __LF \ + mul x11, x3, x9 __LF \ + umulh x15, x3, x9 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x3, x10 __LF \ + umulh x16, x3, x10 __LF \ + adcs x15, x15, x11 __LF \ + adc x16, x16, xzr __LF \ + ldp x5, x6, [P1+16] __LF \ + mul x11, x4, x7 __LF \ + adds x13, x13, x11 __LF \ + mul x11, x4, x8 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x4, x9 __LF \ + adcs x15, x15, x11 __LF \ + mul x11, x4, x10 __LF \ + adcs x16, x16, x11 __LF \ + umulh x3, x4, x10 __LF \ + adc x3, x3, xzr __LF \ + umulh x11, x4, x7 __LF \ + adds x14, x14, x11 __LF \ + umulh x11, x4, x8 __LF \ + adcs x15, x15, x11 __LF \ + umulh x11, x4, x9 __LF \ + adcs x16, x16, x11 __LF \ + adc x3, x3, xzr __LF \ + mul x11, x5, x7 __LF \ + adds x14, x14, x11 __LF \ + mul x11, x5, x8 __LF \ + adcs x15, x15, x11 __LF \ + mul x11, x5, x9 __LF \ + adcs x16, x16, x11 __LF \ + mul x11, x5, x10 __LF \ + adcs x3, x3, x11 __LF \ + umulh x4, x5, x10 __LF \ + adc x4, x4, xzr __LF \ + umulh x11, x5, x7 __LF \ + adds x15, x15, x11 __LF \ + umulh x11, x5, x8 __LF \ + adcs x16, x16, x11 __LF \ + umulh x11, x5, x9 __LF \ + adcs x3, x3, x11 __LF \ + adc x4, x4, xzr __LF \ + mul x11, x6, x7 __LF \ + adds x15, x15, x11 __LF \ + mul x11, x6, x8 __LF \ + adcs x16, x16, x11 __LF \ + mul x11, x6, x9 __LF \ + adcs x3, x3, x11 __LF \ + mul x11, x6, x10 __LF \ + adcs x4, x4, x11 __LF \ + umulh x5, x6, x10 __LF \ + adc x5, x5, xzr __LF \ + umulh x11, x6, x7 __LF \ + adds x16, x16, x11 __LF \ + umulh x11, x6, x8 __LF \ + adcs x3, x3, x11 __LF \ + umulh x11, x6, x9 __LF \ + adcs x4, x4, x11 __LF \ + adc x5, x5, xzr __LF \ + mov x7, #0x26 __LF \ + mul x11, x7, x16 __LF \ + umulh x9, x7, x16 __LF \ + adds x12, x12, x11 __LF \ + mul x11, x7, x3 __LF \ + umulh x3, x7, x3 __LF \ + adcs x13, x13, x11 __LF \ + mul x11, x7, x4 __LF \ + umulh x4, x7, x4 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x7, x5 __LF \ + umulh x5, x7, x5 __LF \ + adcs x15, x15, x11 __LF \ + cset x16, cs __LF \ + adds x15, x15, x4 __LF \ + adc x16, x16, x5 __LF \ + cmn x15, x15 __LF \ + orr x15, x15, #0x8000000000000000 __LF \ + adc x8, x16, x16 __LF \ + mov x7, #0x13 __LF \ + madd x11, x7, x8, x7 __LF \ + adds x12, x12, x11 __LF \ + adcs x13, x13, x9 __LF \ + adcs x14, x14, x3 __LF \ + adcs x15, x15, xzr __LF \ + csel x7, x7, xzr, cc __LF \ + subs x12, x12, x7 __LF \ + sbcs x13, x13, xzr __LF \ + sbcs x14, x14, xzr __LF \ + sbc x15, x15, xzr __LF \ + and x15, x15, #0x7fffffffffffffff __LF \ + stp x12, x13, [P0] __LF \ + stp x14, x15, [P0+16] + +// A version of multiplication that only guarantees output < 2 * p_25519. +// This basically skips the +1 and final correction in quotient estimation. + +#define mul_4(P0,P1,P2) \ + ldp x3, x4, [P1] __LF \ + ldp x7, x8, [P2] __LF \ + mul x12, x3, x7 __LF \ + umulh x13, x3, x7 __LF \ + mul x11, x3, x8 __LF \ + umulh x14, x3, x8 __LF \ + adds x13, x13, x11 __LF \ + ldp x9, x10, [P2+16] __LF \ + mul x11, x3, x9 __LF \ + umulh x15, x3, x9 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x3, x10 __LF \ + umulh x16, x3, x10 __LF \ + adcs x15, x15, x11 __LF \ + adc x16, x16, xzr __LF \ + ldp x5, x6, [P1+16] __LF \ + mul x11, x4, x7 __LF \ + adds x13, x13, x11 __LF \ + mul x11, x4, x8 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x4, x9 __LF \ + adcs x15, x15, x11 __LF \ + mul x11, x4, x10 __LF \ + adcs x16, x16, x11 __LF \ + umulh x3, x4, x10 __LF \ + adc x3, x3, xzr __LF \ + umulh x11, x4, x7 __LF \ + adds x14, x14, x11 __LF \ + umulh x11, x4, x8 __LF \ + adcs x15, x15, x11 __LF \ + umulh x11, x4, x9 __LF \ + adcs x16, x16, x11 __LF \ + adc x3, x3, xzr __LF \ + mul x11, x5, x7 __LF \ + adds x14, x14, x11 __LF \ + mul x11, x5, x8 __LF \ + adcs x15, x15, x11 __LF \ + mul x11, x5, x9 __LF \ + adcs x16, x16, x11 __LF \ + mul x11, x5, x10 __LF \ + adcs x3, x3, x11 __LF \ + umulh x4, x5, x10 __LF \ + adc x4, x4, xzr __LF \ + umulh x11, x5, x7 __LF \ + adds x15, x15, x11 __LF \ + umulh x11, x5, x8 __LF \ + adcs x16, x16, x11 __LF \ + umulh x11, x5, x9 __LF \ + adcs x3, x3, x11 __LF \ + adc x4, x4, xzr __LF \ + mul x11, x6, x7 __LF \ + adds x15, x15, x11 __LF \ + mul x11, x6, x8 __LF \ + adcs x16, x16, x11 __LF \ + mul x11, x6, x9 __LF \ + adcs x3, x3, x11 __LF \ + mul x11, x6, x10 __LF \ + adcs x4, x4, x11 __LF \ + umulh x5, x6, x10 __LF \ + adc x5, x5, xzr __LF \ + umulh x11, x6, x7 __LF \ + adds x16, x16, x11 __LF \ + umulh x11, x6, x8 __LF \ + adcs x3, x3, x11 __LF \ + umulh x11, x6, x9 __LF \ + adcs x4, x4, x11 __LF \ + adc x5, x5, xzr __LF \ + mov x7, #0x26 __LF \ + mul x11, x7, x16 __LF \ + umulh x9, x7, x16 __LF \ + adds x12, x12, x11 __LF \ + mul x11, x7, x3 __LF \ + umulh x3, x7, x3 __LF \ + adcs x13, x13, x11 __LF \ + mul x11, x7, x4 __LF \ + umulh x4, x7, x4 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x7, x5 __LF \ + umulh x5, x7, x5 __LF \ + adcs x15, x15, x11 __LF \ + cset x16, cs __LF \ + adds x15, x15, x4 __LF \ + adc x16, x16, x5 __LF \ + cmn x15, x15 __LF \ + bic x15, x15, #0x8000000000000000 __LF \ + adc x8, x16, x16 __LF \ + mov x7, #0x13 __LF \ + mul x11, x7, x8 __LF \ + adds x12, x12, x11 __LF \ + adcs x13, x13, x9 __LF \ + adcs x14, x14, x3 __LF \ + adc x15, x15, xzr __LF \ + stp x12, x13, [P0] __LF \ + stp x14, x15, [P0+16] + +// Squaring just giving a result < 2 * p_25519, which is done by +// basically skipping the +1 in the quotient estimate and the final +// optional correction. + +#define sqr_4(P0,P1) \ + ldp x2, x3, [P1] __LF \ + mul x9, x2, x3 __LF \ + umulh x10, x2, x3 __LF \ + ldp x4, x5, [P1+16] __LF \ + mul x11, x2, x5 __LF \ + umulh x12, x2, x5 __LF \ + mul x7, x2, x4 __LF \ + umulh x6, x2, x4 __LF \ + adds x10, x10, x7 __LF \ + adcs x11, x11, x6 __LF \ + mul x7, x3, x4 __LF \ + umulh x6, x3, x4 __LF \ + adc x6, x6, xzr __LF \ + adds x11, x11, x7 __LF \ + mul x13, x4, x5 __LF \ + umulh x14, x4, x5 __LF \ + adcs x12, x12, x6 __LF \ + mul x7, x3, x5 __LF \ + umulh x6, x3, x5 __LF \ + adc x6, x6, xzr __LF \ + adds x12, x12, x7 __LF \ + adcs x13, x13, x6 __LF \ + adc x14, x14, xzr __LF \ + adds x9, x9, x9 __LF \ + adcs x10, x10, x10 __LF \ + adcs x11, x11, x11 __LF \ + adcs x12, x12, x12 __LF \ + adcs x13, x13, x13 __LF \ + adcs x14, x14, x14 __LF \ + cset x6, cs __LF \ + umulh x7, x2, x2 __LF \ + mul x8, x2, x2 __LF \ + adds x9, x9, x7 __LF \ + mul x7, x3, x3 __LF \ + adcs x10, x10, x7 __LF \ + umulh x7, x3, x3 __LF \ + adcs x11, x11, x7 __LF \ + mul x7, x4, x4 __LF \ + adcs x12, x12, x7 __LF \ + umulh x7, x4, x4 __LF \ + adcs x13, x13, x7 __LF \ + mul x7, x5, x5 __LF \ + adcs x14, x14, x7 __LF \ + umulh x7, x5, x5 __LF \ + adc x6, x6, x7 __LF \ + mov x3, #0x26 __LF \ + mul x7, x3, x12 __LF \ + umulh x4, x3, x12 __LF \ + adds x8, x8, x7 __LF \ + mul x7, x3, x13 __LF \ + umulh x13, x3, x13 __LF \ + adcs x9, x9, x7 __LF \ + mul x7, x3, x14 __LF \ + umulh x14, x3, x14 __LF \ + adcs x10, x10, x7 __LF \ + mul x7, x3, x6 __LF \ + umulh x6, x3, x6 __LF \ + adcs x11, x11, x7 __LF \ + cset x12, cs __LF \ + adds x11, x11, x14 __LF \ + adc x12, x12, x6 __LF \ + cmn x11, x11 __LF \ + bic x11, x11, #0x8000000000000000 __LF \ + adc x2, x12, x12 __LF \ + mov x3, #0x13 __LF \ + mul x7, x3, x2 __LF \ + adds x8, x8, x7 __LF \ + adcs x9, x9, x4 __LF \ + adcs x10, x10, x13 __LF \ + adc x11, x11, xzr __LF \ + stp x8, x9, [P0] __LF \ + stp x10, x11, [P0+16] + +// Modular addition with double modulus 2 * p_25519 = 2^256 - 38. +// This only ensures that the result fits in 4 digits, not that it is reduced +// even w.r.t. double modulus. The result is always correct modulo provided +// the sum of the inputs is < 2^256 + 2^256 - 38, so in particular provided +// at least one of them is reduced double modulo. + +#define add_twice4(P0,P1,P2) \ + ldp x3, x4, [P1] __LF \ + ldp x7, x8, [P2] __LF \ + adds x3, x3, x7 __LF \ + adcs x4, x4, x8 __LF \ + ldp x5, x6, [P1+16] __LF \ + ldp x7, x8, [P2+16] __LF \ + adcs x5, x5, x7 __LF \ + adcs x6, x6, x8 __LF \ + mov x9, #38 __LF \ + csel x9, x9, xzr, cs __LF \ + adds x3, x3, x9 __LF \ + adcs x4, x4, xzr __LF \ + adcs x5, x5, xzr __LF \ + adc x6, x6, xzr __LF \ + stp x3, x4, [P0] __LF \ + stp x5, x6, [P0+16] + +// Modular subtraction with double modulus 2 * p_25519 = 2^256 - 38 + +#define sub_twice4(p0,p1,p2) \ + ldp x5, x6, [p1] __LF \ + ldp x4, x3, [p2] __LF \ + subs x5, x5, x4 __LF \ + sbcs x6, x6, x3 __LF \ + ldp x7, x8, [p1+16] __LF \ + ldp x4, x3, [p2+16] __LF \ + sbcs x7, x7, x4 __LF \ + sbcs x8, x8, x3 __LF \ + mov x4, #38 __LF \ + csel x3, x4, xzr, lo __LF \ + subs x5, x5, x3 __LF \ + sbcs x6, x6, xzr __LF \ + sbcs x7, x7, xzr __LF \ + sbc x8, x8, xzr __LF \ + stp x5, x6, [p0] __LF \ + stp x7, x8, [p0+16] + +// Combined z = c * x + y with reduction only < 2 * p_25519 +// where c is initially in the X1 register. It is assumed +// that 19 * (c * x + y) < 2^60 * 2^256 so we don't need a +// high mul in the final part. + +#define cmadd_4(p0,p2,p3) \ + ldp x7, x8, [p2] __LF \ + ldp x9, x10, [p2+16] __LF \ + mul x3, x1, x7 __LF \ + mul x4, x1, x8 __LF \ + mul x5, x1, x9 __LF \ + mul x6, x1, x10 __LF \ + umulh x7, x1, x7 __LF \ + umulh x8, x1, x8 __LF \ + umulh x9, x1, x9 __LF \ + umulh x10, x1, x10 __LF \ + adds x4, x4, x7 __LF \ + adcs x5, x5, x8 __LF \ + adcs x6, x6, x9 __LF \ + adc x10, x10, xzr __LF \ + ldp x7, x8, [p3] __LF \ + adds x3, x3, x7 __LF \ + adcs x4, x4, x8 __LF \ + ldp x7, x8, [p3+16] __LF \ + adcs x5, x5, x7 __LF \ + adcs x6, x6, x8 __LF \ + adc x10, x10, xzr __LF \ + cmn x6, x6 __LF \ + bic x6, x6, #0x8000000000000000 __LF \ + adc x8, x10, x10 __LF \ + mov x9, #19 __LF \ + mul x7, x8, x9 __LF \ + adds x3, x3, x7 __LF \ + adcs x4, x4, xzr __LF \ + adcs x5, x5, xzr __LF \ + adc x6, x6, xzr __LF \ + stp x3, x4, [p0] __LF \ + stp x5, x6, [p0+16] + +// Multiplex: z := if NZ then x else y + +#define mux_4(p0,p1,p2) \ + ldp x0, x1, [p1] __LF \ + ldp x2, x3, [p2] __LF \ + csel x0, x0, x2, ne __LF \ + csel x1, x1, x3, ne __LF \ + stp x0, x1, [p0] __LF \ + ldp x0, x1, [p1+16] __LF \ + ldp x2, x3, [p2+16] __LF \ + csel x0, x0, x2, ne __LF \ + csel x1, x1, x3, ne __LF \ + stp x0, x1, [p0+16] + +S2N_BN_SYMBOL(curve25519_x25519_alt): + CFI_START + +// Save regs and make room for temporaries + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_DEC_SP(NSPACE) + +// Move the output pointer to a stable place + + mov res, x0 + +// Copy the inputs to the local variables with minimal mangling: +// +// - The scalar is in principle turned into 01xxx...xxx000 but +// in the structure below the special handling of these bits is +// explicit in the main computation; the scalar is just copied. +// +// - The point x coord is reduced mod 2^255 by masking off the +// top bit. In the main loop we only need reduction < 2 * p_25519. + + ldp x10, x11, [x1] + stp x10, x11, [scalar] + ldp x12, x13, [x1, #16] + stp x12, x13, [scalar+16] + + ldp x10, x11, [x2] + stp x10, x11, [pointx] + ldp x12, x13, [x2, #16] + and x13, x13, #0x7fffffffffffffff + stp x12, x13, [pointx+16] + +// Initialize with explicit doubling in order to handle set bit 254. +// Set swap = 1 and (xm,zm) = (x,1) then double as (xn,zn) = 2 * (x,1). +// We use the fact that the point x coordinate is still in registers. +// Since zm = 1 we could do the doubling with an operation count of +// 2 * S + M instead of 2 * S + 2 * M, but it doesn't seem worth +// the slight complication arising from a different linear combination. + + mov swap, #1 + stp x10, x11, [xm] + stp x12, x13, [xm+16] + stp swap, xzr, [zm] + stp xzr, xzr, [zm+16] + + sub_twice4(d,xm,zm) + add_twice4(s,xm,zm) + sqr_4(d,d) + sqr_4(s,s) + sub_twice4(p,s,d) + mov x1, 0xdb42 + orr x1, x1, 0x10000 + cmadd_4(e,p,d) + mul_4(xn,s,d) + mul_4(zn,p,e) + +// The main loop over unmodified bits from i = 253, ..., i = 3 (inclusive). +// This is a classic Montgomery ladder, with the main coordinates only +// reduced mod 2 * p_25519, some intermediate results even more loosely. + + mov i, #253 + +Lcurve25519_x25519_alt_scalarloop: + +// sm = xm + zm; sn = xn + zn; dm = xm - zm; dn = xn - zn + + sub_twice4(dm,xm,zm) + add_twice4(sn,xn,zn) + sub_twice4(dn,xn,zn) + add_twice4(sm,xm,zm) + +// ADDING: dmsn = dm * sn +// DOUBLING: mux d = xt - zt and s = xt + zt for appropriate choice of (xt,zt) + + mul_4(dmsn,sn,dm) + + lsr x0, i, #6 + ldr x2, [sp, x0, lsl #3] // Exploiting scalar = sp exactly + lsr x2, x2, i + and x2, x2, #1 + + cmp swap, x2 + mov swap, x2 + + mux_4(d,dm,dn) + mux_4(s,sm,sn) + +// ADDING: dnsm = sm * dn + + mul_4(dnsm,sm,dn) + +// DOUBLING: d = (xt - zt)^2 + + sqr_4(d,d) + +// ADDING: dpro = (dmsn - dnsm)^2, spro = (dmsn + dnsm)^2 +// DOUBLING: s = (xt + zt)^2 + + sub_twice4(dpro,dmsn,dnsm) + sqr_4(s,s) + add_twice4(spro,dmsn,dnsm) + sqr_4(dpro,dpro) + +// DOUBLING: p = 4 * xt * zt = s - d + + sub_twice4(p,s,d) + +// ADDING: xm' = (dmsn + dnsm)^2 + + sqr_4(xm,spro) + +// DOUBLING: e = 121666 * p + d + + mov x1, 0xdb42 + orr x1, x1, 0x10000 + cmadd_4(e,p,d) + +// DOUBLING: xn' = (xt + zt)^2 * (xt - zt)^2 = s * d + + mul_4(xn,s,d) + +// ADDING: zm' = x * (dmsn - dnsm)^2 + + mul_4(zm,dpro,pointx) + +// DOUBLING: zn' = (4 * xt * zt) * ((xt - zt)^2 + 121666 * (4 * xt * zt)) +// = p * (d + 121666 * p) + + mul_4(zn,p,e) + +// Loop down as far as 3 (inclusive) + + sub i, i, #1 + cmp i, #3 + bcs Lcurve25519_x25519_alt_scalarloop + +// Multiplex directly into (xn,zn) then do three pure doubling steps; +// this accounts for the implicit zeroing of the three lowest bits +// of the scalar. + + cmp swap, xzr + mux_4(xn,xm,xn) + mux_4(zn,zm,zn) + + sub_twice4(d,xn,zn) + add_twice4(s,xn,zn) + sqr_4(d,d) + sqr_4(s,s) + sub_twice4(p,s,d) + mov x1, 0xdb42 + orr x1, x1, 0x10000 + cmadd_4(e,p,d) + mul_4(xn,s,d) + mul_4(zn,p,e) + + sub_twice4(d,xn,zn) + add_twice4(s,xn,zn) + sqr_4(d,d) + sqr_4(s,s) + sub_twice4(p,s,d) + mov x1, 0xdb42 + orr x1, x1, 0x10000 + cmadd_4(e,p,d) + mul_4(xn,s,d) + mul_4(zn,p,e) + + sub_twice4(d,xn,zn) + add_twice4(s,xn,zn) + sqr_4(d,d) + sqr_4(s,s) + sub_twice4(p,s,d) + mov x1, 0xdb42 + orr x1, x1, 0x10000 + cmadd_4(e,p,d) + mul_4(xn,s,d) + mul_4(zn,p,e) + +// The projective result of the scalar multiplication is now (xn,zn). +// Prepare to call the modular inverse function to get zn' = 1/zn + + add x0, zn + add x1, zn + +// Inline copy of bignum_inv_p25519, identical except for stripping out +// the prologue and epilogue saving and restoring registers and making +// and reclaiming room on the stack. For more details and explanations see +// "arm/curve25519/bignum_inv_p25519.S". Note that the stack it uses for +// its own temporaries is 128 bytes, so it has no effect on variables +// that are needed in the rest of our computation here: res, xn and zn. + + mov x20, x0 + mov x10, #0xffffffffffffffed + mov x11, #0xffffffffffffffff + stp x10, x11, [sp] + mov x12, #0x7fffffffffffffff + stp x11, x12, [sp, #16] + ldp x2, x3, [x1] + ldp x4, x5, [x1, #16] + mov x7, #0x13 + lsr x6, x5, #63 + madd x6, x7, x6, x7 + adds x2, x2, x6 + adcs x3, x3, xzr + adcs x4, x4, xzr + orr x5, x5, #0x8000000000000000 + adcs x5, x5, xzr + csel x6, x7, xzr, cc + subs x2, x2, x6 + sbcs x3, x3, xzr + sbcs x4, x4, xzr + sbc x5, x5, xzr + and x5, x5, #0x7fffffffffffffff + stp x2, x3, [sp, #32] + stp x4, x5, [sp, #48] + stp xzr, xzr, [sp, #64] + stp xzr, xzr, [sp, #80] + mov x10, #0x2099 + movk x10, #0x7502, lsl #16 + movk x10, #0x9e23, lsl #32 + movk x10, #0xa0f9, lsl #48 + mov x11, #0x2595 + movk x11, #0x1d13, lsl #16 + movk x11, #0x8f3f, lsl #32 + movk x11, #0xa8c6, lsl #48 + mov x12, #0x5242 + movk x12, #0x5ac, lsl #16 + movk x12, #0x8938, lsl #32 + movk x12, #0x6c6c, lsl #48 + mov x13, #0x615 + movk x13, #0x4177, lsl #16 + movk x13, #0x8b2, lsl #32 + movk x13, #0x2765, lsl #48 + stp x10, x11, [sp, #96] + stp x12, x13, [sp, #112] + mov x21, #0xa + mov x22, #0x1 + b Lcurve25519_x25519_alt_invmidloop +Lcurve25519_x25519_alt_invloop: + cmp x10, xzr + csetm x14, mi + cneg x10, x10, mi + cmp x11, xzr + csetm x15, mi + cneg x11, x11, mi + cmp x12, xzr + csetm x16, mi + cneg x12, x12, mi + cmp x13, xzr + csetm x17, mi + cneg x13, x13, mi + and x0, x10, x14 + and x1, x11, x15 + add x9, x0, x1 + and x0, x12, x16 + and x1, x13, x17 + add x19, x0, x1 + ldr x7, [sp] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #32] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + adc x2, x2, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x5, x19, x0 + adc x3, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x7, [sp, #8] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #40] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + adc x6, x6, x1 + extr x4, x2, x4, #59 + str x4, [sp] + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x3, x3, x0 + adc x4, x4, x1 + extr x5, x3, x5, #59 + str x5, [sp, #32] + ldr x7, [sp, #16] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #48] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + adc x5, x5, x1 + extr x2, x6, x2, #59 + str x2, [sp, #8] + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x4, x4, x0 + adc x2, x2, x1 + extr x3, x4, x3, #59 + str x3, [sp, #40] + ldr x7, [sp, #24] + eor x1, x7, x14 + asr x3, x1, #63 + and x3, x3, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #56] + eor x1, x8, x15 + asr x0, x1, #63 + and x0, x0, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x5, x6, #59 + str x6, [sp, #16] + extr x5, x3, x5, #59 + str x5, [sp, #24] + eor x1, x7, x16 + asr x5, x1, #63 + and x5, x5, x12 + neg x5, x5 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, x17 + asr x0, x1, #63 + and x0, x0, x13 + sub x5, x5, x0 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x2, x2, x0 + adc x5, x5, x1 + extr x4, x2, x4, #59 + str x4, [sp, #48] + extr x2, x5, x2, #59 + str x2, [sp, #56] + ldr x7, [sp, #64] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #96] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + str x4, [sp, #64] + adc x2, x2, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x5, x19, x0 + adc x3, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x5, x5, x0 + str x5, [sp, #96] + adc x3, x3, x1 + ldr x7, [sp, #72] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #104] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + str x2, [sp, #72] + adc x6, x6, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x3, x3, x0 + str x3, [sp, #104] + adc x4, x4, x1 + ldr x7, [sp, #80] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #112] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + str x6, [sp, #80] + adc x5, x5, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x4, x4, x0 + str x4, [sp, #112] + adc x2, x2, x1 + ldr x7, [sp, #88] + eor x1, x7, x14 + and x3, x14, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #120] + eor x1, x8, x15 + and x0, x15, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x3, x5, #63 + ldp x0, x1, [sp, #64] + add x6, x6, x3, asr #63 + mov x3, #0x13 + mul x4, x6, x3 + add x5, x5, x6, lsl #63 + smulh x3, x6, x3 + ldr x6, [sp, #80] + adds x0, x0, x4 + adcs x1, x1, x3 + asr x3, x3, #63 + adcs x6, x6, x3 + adc x5, x5, x3 + stp x0, x1, [sp, #64] + stp x6, x5, [sp, #80] + eor x1, x7, x16 + and x5, x16, x12 + neg x5, x5 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, x17 + and x0, x17, x13 + sub x5, x5, x0 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x2, x2, x0 + adc x5, x5, x1 + extr x6, x5, x2, #63 + ldp x0, x1, [sp, #96] + add x6, x6, x5, asr #63 + mov x5, #0x13 + mul x4, x6, x5 + add x2, x2, x6, lsl #63 + smulh x5, x6, x5 + ldr x3, [sp, #112] + adds x0, x0, x4 + adcs x1, x1, x5 + asr x5, x5, #63 + adcs x3, x3, x5 + adc x2, x2, x5 + stp x0, x1, [sp, #96] + stp x3, x2, [sp, #112] +Lcurve25519_x25519_alt_invmidloop: + mov x1, x22 + ldr x2, [sp] + ldr x3, [sp, #32] + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x8, x4, #0x100, lsl #12 + sbfx x8, x8, #21, #21 + mov x11, #0x100000 + add x11, x11, x11, lsl #21 + add x9, x4, x11 + asr x9, x9, #42 + add x10, x5, #0x100, lsl #12 + sbfx x10, x10, #21, #21 + add x11, x5, x11 + asr x11, x11, #42 + mul x6, x8, x2 + mul x7, x9, x3 + mul x2, x10, x2 + mul x3, x11, x3 + add x4, x6, x7 + add x5, x2, x3 + asr x2, x4, #20 + asr x3, x5, #20 + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x12, x4, #0x100, lsl #12 + sbfx x12, x12, #21, #21 + mov x15, #0x100000 + add x15, x15, x15, lsl #21 + add x13, x4, x15 + asr x13, x13, #42 + add x14, x5, #0x100, lsl #12 + sbfx x14, x14, #21, #21 + add x15, x5, x15 + asr x15, x15, #42 + mul x6, x12, x2 + mul x7, x13, x3 + mul x2, x14, x2 + mul x3, x15, x3 + add x4, x6, x7 + add x5, x2, x3 + asr x2, x4, #20 + asr x3, x5, #20 + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + mul x2, x12, x8 + mul x3, x12, x9 + mul x6, x14, x8 + mul x7, x14, x9 + madd x8, x13, x10, x2 + madd x9, x13, x11, x3 + madd x16, x15, x10, x6 + madd x17, x15, x11, x7 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x12, x4, #0x100, lsl #12 + sbfx x12, x12, #22, #21 + mov x15, #0x100000 + add x15, x15, x15, lsl #21 + add x13, x4, x15 + asr x13, x13, #43 + add x14, x5, #0x100, lsl #12 + sbfx x14, x14, #22, #21 + add x15, x5, x15 + asr x15, x15, #43 + mneg x2, x12, x8 + mneg x3, x12, x9 + mneg x4, x14, x8 + mneg x5, x14, x9 + msub x10, x13, x16, x2 + msub x11, x13, x17, x3 + msub x12, x15, x16, x4 + msub x13, x15, x17, x5 + mov x22, x1 + subs x21, x21, #0x1 + b.ne Lcurve25519_x25519_alt_invloop + ldr x0, [sp] + ldr x1, [sp, #32] + mul x0, x0, x10 + madd x1, x1, x11, x0 + asr x0, x1, #63 + cmp x10, xzr + csetm x14, mi + cneg x10, x10, mi + eor x14, x14, x0 + cmp x11, xzr + csetm x15, mi + cneg x11, x11, mi + eor x15, x15, x0 + cmp x12, xzr + csetm x16, mi + cneg x12, x12, mi + eor x16, x16, x0 + cmp x13, xzr + csetm x17, mi + cneg x13, x13, mi + eor x17, x17, x0 + and x0, x10, x14 + and x1, x11, x15 + add x9, x0, x1 + ldr x7, [sp, #64] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #96] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + str x4, [sp, #64] + adc x2, x2, x1 + ldr x7, [sp, #72] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #104] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + str x2, [sp, #72] + adc x6, x6, x1 + ldr x7, [sp, #80] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #112] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + str x6, [sp, #80] + adc x5, x5, x1 + ldr x7, [sp, #88] + eor x1, x7, x14 + and x3, x14, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #120] + eor x1, x8, x15 + and x0, x15, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x3, x5, #63 + ldp x0, x1, [sp, #64] + tst x3, x3 + cinc x6, x6, pl + mov x3, #0x13 + mul x4, x6, x3 + add x5, x5, x6, lsl #63 + smulh x6, x6, x3 + ldr x2, [sp, #80] + adds x0, x0, x4 + adcs x1, x1, x6 + asr x6, x6, #63 + adcs x2, x2, x6 + adcs x5, x5, x6 + csel x3, x3, xzr, mi + subs x0, x0, x3 + sbcs x1, x1, xzr + sbcs x2, x2, xzr + sbc x5, x5, xzr + and x5, x5, #0x7fffffffffffffff + mov x4, x20 + stp x0, x1, [x4] + stp x2, x5, [x4, #16] + +// Now the result is xn * (1/zn), fully reduced modulo p. +// Note that in the degenerate case zn = 0 (mod p_25519), the +// modular inverse code above will produce 1/zn = 0, giving +// the correct overall X25519 result of zero for the point at +// infinity. + + mul_p25519(resx,xn,zn) + +// Restore stack and registers + + CFI_INC_SP(NSPACE) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(curve25519_x25519_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/arm/curve25519_x25519base.S b/cbits/s2n/arm/curve25519_x25519base.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/curve25519_x25519base.S @@ -0,0 +1,9591 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// The x25519 function for curve25519 on base element 9 +// Input scalar[4]; output res[4] +// +// extern void curve25519_x25519base +// (uint64_t res[static 4],const uint64_t scalar[static 4]); +// +// Given a scalar n, returns the X coordinate of n * G where G = (9,...) is +// the standard generator. The scalar is first slightly modified/mangled +// as specified in the relevant RFC (https://www.rfc-editor.org/rfc/rfc7748). +// +// Standard ARM ABI: X0 = res, X1 = scalar +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(curve25519_x25519base) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(curve25519_x25519base) + S2N_BN_SYM_PRIVACY_DIRECTIVE(curve25519_x25519base) + + .text + .balign 4 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Stable home for the input result argument during the whole body + +#define res x23 + +// Other variables that are only needed prior to the modular inverse. + +#define tab x19 + +#define i x20 + +#define bias x21 + +#define bf x22 +#define ix x22 + +// Pointer-offset pairs for result and temporaries on stack with some aliasing. + +#define resx res, #(0*NUMSIZE) + +#define scalar sp, #(0*NUMSIZE) + +#define tabent sp, #(1*NUMSIZE) +#define ymx_2 sp, #(1*NUMSIZE) +#define xpy_2 sp, #(2*NUMSIZE) +#define kxy_2 sp, #(3*NUMSIZE) + +#define acc sp, #(4*NUMSIZE) +#define x_1 sp, #(4*NUMSIZE) +#define y_1 sp, #(5*NUMSIZE) +#define z_1 sp, #(6*NUMSIZE) +#define w_1 sp, #(7*NUMSIZE) +#define x_3 sp, #(4*NUMSIZE) +#define y_3 sp, #(5*NUMSIZE) +#define z_3 sp, #(6*NUMSIZE) +#define w_3 sp, #(7*NUMSIZE) + +#define tmpspace sp, #(8*NUMSIZE) +#define t0 sp, #(8*NUMSIZE) +#define t1 sp, #(9*NUMSIZE) +#define t2 sp, #(10*NUMSIZE) +#define t3 sp, #(11*NUMSIZE) +#define t4 sp, #(12*NUMSIZE) +#define t5 sp, #(13*NUMSIZE) + +// Total size to reserve on the stack + +#define NSPACE 14*NUMSIZE + +// Macro wrapping up the basic field operation bignum_mul_p25519, only +// trivially different from a pure function call to that subroutine. + +#define mul_p25519(P0,P1,P2) \ + ldp x3, x4, [P1] __LF \ + ldp x5, x6, [P2] __LF \ + umull x7, w3, w5 __LF \ + lsr x0, x3, #32 __LF \ + umull x15, w0, w5 __LF \ + lsr x16, x5, #32 __LF \ + umull x8, w16, w0 __LF \ + umull x16, w3, w16 __LF \ + adds x7, x7, x15, lsl #32 __LF \ + lsr x15, x15, #32 __LF \ + adc x8, x8, x15 __LF \ + adds x7, x7, x16, lsl #32 __LF \ + lsr x16, x16, #32 __LF \ + adc x8, x8, x16 __LF \ + mul x9, x4, x6 __LF \ + umulh x10, x4, x6 __LF \ + subs x4, x4, x3 __LF \ + cneg x4, x4, cc __LF \ + csetm x16, cc __LF \ + adds x9, x9, x8 __LF \ + adc x10, x10, xzr __LF \ + subs x3, x5, x6 __LF \ + cneg x3, x3, cc __LF \ + cinv x16, x16, cc __LF \ + mul x15, x4, x3 __LF \ + umulh x3, x4, x3 __LF \ + adds x8, x7, x9 __LF \ + adcs x9, x9, x10 __LF \ + adc x10, x10, xzr __LF \ + cmn x16, #0x1 __LF \ + eor x15, x15, x16 __LF \ + adcs x8, x15, x8 __LF \ + eor x3, x3, x16 __LF \ + adcs x9, x3, x9 __LF \ + adc x10, x10, x16 __LF \ + ldp x3, x4, [P1+16] __LF \ + ldp x5, x6, [P2+16] __LF \ + umull x11, w3, w5 __LF \ + lsr x0, x3, #32 __LF \ + umull x15, w0, w5 __LF \ + lsr x16, x5, #32 __LF \ + umull x12, w16, w0 __LF \ + umull x16, w3, w16 __LF \ + adds x11, x11, x15, lsl #32 __LF \ + lsr x15, x15, #32 __LF \ + adc x12, x12, x15 __LF \ + adds x11, x11, x16, lsl #32 __LF \ + lsr x16, x16, #32 __LF \ + adc x12, x12, x16 __LF \ + mul x13, x4, x6 __LF \ + umulh x14, x4, x6 __LF \ + subs x4, x4, x3 __LF \ + cneg x4, x4, cc __LF \ + csetm x16, cc __LF \ + adds x13, x13, x12 __LF \ + adc x14, x14, xzr __LF \ + subs x3, x5, x6 __LF \ + cneg x3, x3, cc __LF \ + cinv x16, x16, cc __LF \ + mul x15, x4, x3 __LF \ + umulh x3, x4, x3 __LF \ + adds x12, x11, x13 __LF \ + adcs x13, x13, x14 __LF \ + adc x14, x14, xzr __LF \ + cmn x16, #0x1 __LF \ + eor x15, x15, x16 __LF \ + adcs x12, x15, x12 __LF \ + eor x3, x3, x16 __LF \ + adcs x13, x3, x13 __LF \ + adc x14, x14, x16 __LF \ + ldp x3, x4, [P1+16] __LF \ + ldp x15, x16, [P1] __LF \ + subs x3, x3, x15 __LF \ + sbcs x4, x4, x16 __LF \ + csetm x16, cc __LF \ + ldp x15, x0, [P2] __LF \ + subs x5, x15, x5 __LF \ + sbcs x6, x0, x6 __LF \ + csetm x0, cc __LF \ + eor x3, x3, x16 __LF \ + subs x3, x3, x16 __LF \ + eor x4, x4, x16 __LF \ + sbc x4, x4, x16 __LF \ + eor x5, x5, x0 __LF \ + subs x5, x5, x0 __LF \ + eor x6, x6, x0 __LF \ + sbc x6, x6, x0 __LF \ + eor x16, x0, x16 __LF \ + adds x11, x11, x9 __LF \ + adcs x12, x12, x10 __LF \ + adcs x13, x13, xzr __LF \ + adc x14, x14, xzr __LF \ + mul x2, x3, x5 __LF \ + umulh x0, x3, x5 __LF \ + mul x15, x4, x6 __LF \ + umulh x1, x4, x6 __LF \ + subs x4, x4, x3 __LF \ + cneg x4, x4, cc __LF \ + csetm x9, cc __LF \ + adds x15, x15, x0 __LF \ + adc x1, x1, xzr __LF \ + subs x6, x5, x6 __LF \ + cneg x6, x6, cc __LF \ + cinv x9, x9, cc __LF \ + mul x5, x4, x6 __LF \ + umulh x6, x4, x6 __LF \ + adds x0, x2, x15 __LF \ + adcs x15, x15, x1 __LF \ + adc x1, x1, xzr __LF \ + cmn x9, #0x1 __LF \ + eor x5, x5, x9 __LF \ + adcs x0, x5, x0 __LF \ + eor x6, x6, x9 __LF \ + adcs x15, x6, x15 __LF \ + adc x1, x1, x9 __LF \ + adds x9, x11, x7 __LF \ + adcs x10, x12, x8 __LF \ + adcs x11, x13, x11 __LF \ + adcs x12, x14, x12 __LF \ + adcs x13, x13, xzr __LF \ + adc x14, x14, xzr __LF \ + cmn x16, #0x1 __LF \ + eor x2, x2, x16 __LF \ + adcs x9, x2, x9 __LF \ + eor x0, x0, x16 __LF \ + adcs x10, x0, x10 __LF \ + eor x15, x15, x16 __LF \ + adcs x11, x15, x11 __LF \ + eor x1, x1, x16 __LF \ + adcs x12, x1, x12 __LF \ + adcs x13, x13, x16 __LF \ + adc x14, x14, x16 __LF \ + mov x3, #0x26 __LF \ + umull x4, w11, w3 __LF \ + add x4, x4, w7, uxtw __LF \ + lsr x7, x7, #32 __LF \ + lsr x11, x11, #32 __LF \ + umaddl x11, w11, w3, x7 __LF \ + mov x7, x4 __LF \ + umull x4, w12, w3 __LF \ + add x4, x4, w8, uxtw __LF \ + lsr x8, x8, #32 __LF \ + lsr x12, x12, #32 __LF \ + umaddl x12, w12, w3, x8 __LF \ + mov x8, x4 __LF \ + umull x4, w13, w3 __LF \ + add x4, x4, w9, uxtw __LF \ + lsr x9, x9, #32 __LF \ + lsr x13, x13, #32 __LF \ + umaddl x13, w13, w3, x9 __LF \ + mov x9, x4 __LF \ + umull x4, w14, w3 __LF \ + add x4, x4, w10, uxtw __LF \ + lsr x10, x10, #32 __LF \ + lsr x14, x14, #32 __LF \ + umaddl x14, w14, w3, x10 __LF \ + mov x10, x4 __LF \ + lsr x0, x14, #31 __LF \ + mov x5, #0x13 __LF \ + umaddl x5, w5, w0, x5 __LF \ + add x7, x7, x5 __LF \ + adds x7, x7, x11, lsl #32 __LF \ + extr x3, x12, x11, #32 __LF \ + adcs x8, x8, x3 __LF \ + extr x3, x13, x12, #32 __LF \ + adcs x9, x9, x3 __LF \ + extr x3, x14, x13, #32 __LF \ + lsl x5, x0, #63 __LF \ + eor x10, x10, x5 __LF \ + adc x10, x10, x3 __LF \ + mov x3, #0x13 __LF \ + tst x10, #0x8000000000000000 __LF \ + csel x3, x3, xzr, pl __LF \ + subs x7, x7, x3 __LF \ + sbcs x8, x8, xzr __LF \ + sbcs x9, x9, xzr __LF \ + sbc x10, x10, xzr __LF \ + and x10, x10, #0x7fffffffffffffff __LF \ + stp x7, x8, [P0] __LF \ + stp x9, x10, [P0+16] + +// A version of multiplication that only guarantees output < 2 * p_25519. +// This basically skips the +1 and final correction in quotient estimation. + +#define mul_4(P0,P1,P2) \ + ldp x3, x4, [P1] __LF \ + ldp x5, x6, [P2] __LF \ + umull x7, w3, w5 __LF \ + lsr x0, x3, #32 __LF \ + umull x15, w0, w5 __LF \ + lsr x16, x5, #32 __LF \ + umull x8, w16, w0 __LF \ + umull x16, w3, w16 __LF \ + adds x7, x7, x15, lsl #32 __LF \ + lsr x15, x15, #32 __LF \ + adc x8, x8, x15 __LF \ + adds x7, x7, x16, lsl #32 __LF \ + lsr x16, x16, #32 __LF \ + adc x8, x8, x16 __LF \ + mul x9, x4, x6 __LF \ + umulh x10, x4, x6 __LF \ + subs x4, x4, x3 __LF \ + cneg x4, x4, cc __LF \ + csetm x16, cc __LF \ + adds x9, x9, x8 __LF \ + adc x10, x10, xzr __LF \ + subs x3, x5, x6 __LF \ + cneg x3, x3, cc __LF \ + cinv x16, x16, cc __LF \ + mul x15, x4, x3 __LF \ + umulh x3, x4, x3 __LF \ + adds x8, x7, x9 __LF \ + adcs x9, x9, x10 __LF \ + adc x10, x10, xzr __LF \ + cmn x16, #0x1 __LF \ + eor x15, x15, x16 __LF \ + adcs x8, x15, x8 __LF \ + eor x3, x3, x16 __LF \ + adcs x9, x3, x9 __LF \ + adc x10, x10, x16 __LF \ + ldp x3, x4, [P1+16] __LF \ + ldp x5, x6, [P2+16] __LF \ + umull x11, w3, w5 __LF \ + lsr x0, x3, #32 __LF \ + umull x15, w0, w5 __LF \ + lsr x16, x5, #32 __LF \ + umull x12, w16, w0 __LF \ + umull x16, w3, w16 __LF \ + adds x11, x11, x15, lsl #32 __LF \ + lsr x15, x15, #32 __LF \ + adc x12, x12, x15 __LF \ + adds x11, x11, x16, lsl #32 __LF \ + lsr x16, x16, #32 __LF \ + adc x12, x12, x16 __LF \ + mul x13, x4, x6 __LF \ + umulh x14, x4, x6 __LF \ + subs x4, x4, x3 __LF \ + cneg x4, x4, cc __LF \ + csetm x16, cc __LF \ + adds x13, x13, x12 __LF \ + adc x14, x14, xzr __LF \ + subs x3, x5, x6 __LF \ + cneg x3, x3, cc __LF \ + cinv x16, x16, cc __LF \ + mul x15, x4, x3 __LF \ + umulh x3, x4, x3 __LF \ + adds x12, x11, x13 __LF \ + adcs x13, x13, x14 __LF \ + adc x14, x14, xzr __LF \ + cmn x16, #0x1 __LF \ + eor x15, x15, x16 __LF \ + adcs x12, x15, x12 __LF \ + eor x3, x3, x16 __LF \ + adcs x13, x3, x13 __LF \ + adc x14, x14, x16 __LF \ + ldp x3, x4, [P1+16] __LF \ + ldp x15, x16, [P1] __LF \ + subs x3, x3, x15 __LF \ + sbcs x4, x4, x16 __LF \ + csetm x16, cc __LF \ + ldp x15, x0, [P2] __LF \ + subs x5, x15, x5 __LF \ + sbcs x6, x0, x6 __LF \ + csetm x0, cc __LF \ + eor x3, x3, x16 __LF \ + subs x3, x3, x16 __LF \ + eor x4, x4, x16 __LF \ + sbc x4, x4, x16 __LF \ + eor x5, x5, x0 __LF \ + subs x5, x5, x0 __LF \ + eor x6, x6, x0 __LF \ + sbc x6, x6, x0 __LF \ + eor x16, x0, x16 __LF \ + adds x11, x11, x9 __LF \ + adcs x12, x12, x10 __LF \ + adcs x13, x13, xzr __LF \ + adc x14, x14, xzr __LF \ + mul x2, x3, x5 __LF \ + umulh x0, x3, x5 __LF \ + mul x15, x4, x6 __LF \ + umulh x1, x4, x6 __LF \ + subs x4, x4, x3 __LF \ + cneg x4, x4, cc __LF \ + csetm x9, cc __LF \ + adds x15, x15, x0 __LF \ + adc x1, x1, xzr __LF \ + subs x6, x5, x6 __LF \ + cneg x6, x6, cc __LF \ + cinv x9, x9, cc __LF \ + mul x5, x4, x6 __LF \ + umulh x6, x4, x6 __LF \ + adds x0, x2, x15 __LF \ + adcs x15, x15, x1 __LF \ + adc x1, x1, xzr __LF \ + cmn x9, #0x1 __LF \ + eor x5, x5, x9 __LF \ + adcs x0, x5, x0 __LF \ + eor x6, x6, x9 __LF \ + adcs x15, x6, x15 __LF \ + adc x1, x1, x9 __LF \ + adds x9, x11, x7 __LF \ + adcs x10, x12, x8 __LF \ + adcs x11, x13, x11 __LF \ + adcs x12, x14, x12 __LF \ + adcs x13, x13, xzr __LF \ + adc x14, x14, xzr __LF \ + cmn x16, #0x1 __LF \ + eor x2, x2, x16 __LF \ + adcs x9, x2, x9 __LF \ + eor x0, x0, x16 __LF \ + adcs x10, x0, x10 __LF \ + eor x15, x15, x16 __LF \ + adcs x11, x15, x11 __LF \ + eor x1, x1, x16 __LF \ + adcs x12, x1, x12 __LF \ + adcs x13, x13, x16 __LF \ + adc x14, x14, x16 __LF \ + mov x3, #0x26 __LF \ + umull x4, w11, w3 __LF \ + add x4, x4, w7, uxtw __LF \ + lsr x7, x7, #32 __LF \ + lsr x11, x11, #32 __LF \ + umaddl x11, w11, w3, x7 __LF \ + mov x7, x4 __LF \ + umull x4, w12, w3 __LF \ + add x4, x4, w8, uxtw __LF \ + lsr x8, x8, #32 __LF \ + lsr x12, x12, #32 __LF \ + umaddl x12, w12, w3, x8 __LF \ + mov x8, x4 __LF \ + umull x4, w13, w3 __LF \ + add x4, x4, w9, uxtw __LF \ + lsr x9, x9, #32 __LF \ + lsr x13, x13, #32 __LF \ + umaddl x13, w13, w3, x9 __LF \ + mov x9, x4 __LF \ + umull x4, w14, w3 __LF \ + add x4, x4, w10, uxtw __LF \ + lsr x10, x10, #32 __LF \ + lsr x14, x14, #32 __LF \ + umaddl x14, w14, w3, x10 __LF \ + mov x10, x4 __LF \ + lsr x0, x14, #31 __LF \ + mov x5, #0x13 __LF \ + umull x5, w5, w0 __LF \ + add x7, x7, x5 __LF \ + adds x7, x7, x11, lsl #32 __LF \ + extr x3, x12, x11, #32 __LF \ + adcs x8, x8, x3 __LF \ + extr x3, x13, x12, #32 __LF \ + adcs x9, x9, x3 __LF \ + extr x3, x14, x13, #32 __LF \ + lsl x5, x0, #63 __LF \ + eor x10, x10, x5 __LF \ + adc x10, x10, x3 __LF \ + stp x7, x8, [P0] __LF \ + stp x9, x10, [P0+16] + +// Modular subtraction with double modulus 2 * p_25519 = 2^256 - 38 + +#define sub_twice4(P0,P1,P2) \ + ldp x5, x6, [P1] __LF \ + ldp x4, x3, [P2] __LF \ + subs x5, x5, x4 __LF \ + sbcs x6, x6, x3 __LF \ + ldp x7, x8, [P1+16] __LF \ + ldp x4, x3, [P2+16] __LF \ + sbcs x7, x7, x4 __LF \ + sbcs x8, x8, x3 __LF \ + mov x4, #38 __LF \ + csel x3, x4, xzr, lo __LF \ + subs x5, x5, x3 __LF \ + sbcs x6, x6, xzr __LF \ + sbcs x7, x7, xzr __LF \ + sbc x8, x8, xzr __LF \ + stp x5, x6, [P0] __LF \ + stp x7, x8, [P0+16] + +// Modular addition and doubling with double modulus 2 * p_25519 = 2^256 - 38. +// This only ensures that the result fits in 4 digits, not that it is reduced +// even w.r.t. double modulus. The result is always correct modulo provided +// the sum of the inputs is < 2^256 + 2^256 - 38, so in particular provided +// at least one of them is reduced double modulo. + +#define add_twice4(P0,P1,P2) \ + ldp x3, x4, [P1] __LF \ + ldp x7, x8, [P2] __LF \ + adds x3, x3, x7 __LF \ + adcs x4, x4, x8 __LF \ + ldp x5, x6, [P1+16] __LF \ + ldp x7, x8, [P2+16] __LF \ + adcs x5, x5, x7 __LF \ + adcs x6, x6, x8 __LF \ + mov x9, #38 __LF \ + csel x9, x9, xzr, cs __LF \ + adds x3, x3, x9 __LF \ + adcs x4, x4, xzr __LF \ + adcs x5, x5, xzr __LF \ + adc x6, x6, xzr __LF \ + stp x3, x4, [P0] __LF \ + stp x5, x6, [P0+16] + +#define double_twice4(P0,P1) \ + ldp x3, x4, [P1] __LF \ + adds x3, x3, x3 __LF \ + adcs x4, x4, x4 __LF \ + ldp x5, x6, [P1+16] __LF \ + adcs x5, x5, x5 __LF \ + adcs x6, x6, x6 __LF \ + mov x9, #38 __LF \ + csel x9, x9, xzr, cs __LF \ + adds x3, x3, x9 __LF \ + adcs x4, x4, xzr __LF \ + adcs x5, x5, xzr __LF \ + adc x6, x6, xzr __LF \ + stp x3, x4, [P0] __LF \ + stp x5, x6, [P0+16] + +S2N_BN_SYMBOL(curve25519_x25519base): + CFI_START + +// Save regs and make room for temporaries + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_DEC_SP(NSPACE) + +// Move the output pointer to a stable place + + mov res, x0 + +// Copy the input scalar to its local variable while mangling it. +// In principle the mangling is into 01xxx...xxx000, but actually +// we only clear the top two bits so 00xxx...xxxxxx. The additional +// 2^254 * G is taken care of by the starting value for the addition +// chain below, while we never look at the three low bits at all. + + ldp x10, x11, [x1] + stp x10, x11, [scalar] + ldp x12, x13, [x1, #16] + bic x13, x13, #0xc000000000000000 + stp x12, x13, [scalar+16] + +// The main part of the computation is on the edwards25519 curve in +// extended-projective coordinates (X,Y,Z,T), representing a point +// (x,y) via x = X/Z, y = Y/Z and x * y = T/Z (so X * Y = T * Z). +// Only at the very end do we translate back to curve25519. So G +// below means the generator within edwards25519 corresponding to +// (9,...) for curve25519, via the standard isomorphism. +// +// Initialize accumulator "acc" to either (2^254 + 8) * G or just 2^254 * G +// depending on bit 3 of the scalar, the only nonzero bit of the bottom 4. +// Thus, we have effectively dealt with bits 0, 1, 2, 3, 254 and 255. + + ldr x0, [scalar] + ands xzr, x0, #8 + +#if defined(__ELF__) + adrp tab, S2N_BN_SYMBOL(curve25519_x25519base_constant) + add tab, tab, :lo12:S2N_BN_SYMBOL(curve25519_x25519base_constant) +#else + adrp tab, S2N_BN_SYMBOL(curve25519_x25519base_constant)@PAGE + add tab, tab, S2N_BN_SYMBOL(curve25519_x25519base_constant)@PAGEOFF +#endif + + ldp x0, x1, [tab] + ldp x2, x3, [tab, #96] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc] + + ldp x0, x1, [tab, #1*16] + ldp x2, x3, [tab, #96+1*16] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc+1*16] + + ldp x0, x1, [tab, #2*16] + ldp x2, x3, [tab, #96+2*16] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc+2*16] + + ldp x0, x1, [tab, #3*16] + ldp x2, x3, [tab, #96+3*16] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc+3*16] + + mov x0, #1 + stp x0, xzr, [acc+4*16] + stp xzr, xzr, [acc+5*16] + + ldp x0, x1, [tab, #4*16] + ldp x2, x3, [tab, #96+4*16] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc+6*16] + + ldp x0, x1, [tab, #5*16] + ldp x2, x3, [tab, #96+5*16] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc+7*16] + +// The counter "i" tracks the bit position for which the scalar has +// already been absorbed, starting at 4 and going up in chunks of 4. +// +// The pointer "tab" points at the current block of the table for +// multiples (2^i * j) * G at the current bit position i; 1 <= j <= 8. +// +// The bias is always either 0 and 1 and needs to be added to the +// partially processed scalar implicitly. This is used to absorb 4 bits +// of scalar per iteration from 3-bit table indexing by exploiting +// negation: (16 * h + l) * G = (16 * (h + 1) - (16 - l)) * G is used +// when l >= 9. Note that we can't have any bias left over at the +// end because of the clearing of bit 255 of the scalar, meaning the +// l >= 9 case cannot arise on the last iteration. + + mov i, 4 + add tab, tab, #192 + mov bias, xzr + +// Start of the main loop, repeated 63 times for i = 4, 8, ..., 252 + +Lcurve25519_x25519base_scalarloop: + +// Look at the next 4-bit field "bf", adding the previous bias as well. +// Choose the table index "ix" as bf when bf <= 8 and 16 - bf for bf >= 9, +// setting the bias to 1 for the next iteration in the latter case. + + lsr x0, i, #6 + ldr x2, [sp, x0, lsl #3] // Exploiting scalar = sp exactly + lsr x2, x2, i + and x2, x2, #15 + add bf, x2, bias + + cmp bf, 9 + cset bias, cs + + mov x0, 16 + sub x0, x0, bf + cmp bias, xzr + csel ix, x0, bf, ne + +// Perform constant-time lookup in the table to get element number "ix". +// The table entry for the affine point (x,y) is actually a triple +// (y - x,x + y,2 * d * x * y) to precompute parts of the addition. +// Note that "ix" can be 0, so we set up the appropriate identity first. + + mov x0, #1 + mov x1, xzr + mov x2, xzr + mov x3, xzr + mov x4, #1 + mov x5, xzr + mov x6, xzr + mov x7, xzr + mov x8, xzr + mov x9, xzr + mov x10, xzr + mov x11, xzr + + cmp ix, #1 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #2 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #3 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #4 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #5 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #6 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #7 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #8 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + +// We now have the triple from the table in registers as follows +// +// [x3;x2;x1;x0] = y - x +// [x7;x6;x5;x4] = x + y +// [x11;x10;x9;x8] = 2 * d * x * y +// +// In case bias = 1 we need to negate this. For Edwards curves +// -(x,y) = (-x,y), i.e. we need to negate the x coordinate. +// In this processed encoding, that amounts to swapping the +// first two fields and negating the third. +// +// The optional negation here also pretends bias = 0 whenever +// ix = 0 so that it doesn't need to handle the case of zero +// inputs, since no non-trivial table entries are zero. Note +// that in the zero case the whole negation is trivial, and +// so indeed is the swapping. + + cmp bias, #0 + + csel x12, x0, x4, eq + csel x13, x1, x5, eq + csel x14, x2, x6, eq + csel x15, x3, x7, eq + stp x12, x13, [tabent] + stp x14, x15, [tabent+16] + + csel x12, x0, x4, ne + csel x13, x1, x5, ne + csel x14, x2, x6, ne + csel x15, x3, x7, ne + stp x12, x13, [tabent+32] + stp x14, x15, [tabent+48] + + mov x0, #-19 + subs x0, x0, x8 + mov x2, #-1 + sbcs x1, x2, x9 + sbcs x2, x2, x10 + mov x3, #0x7FFFFFFFFFFFFFFF + sbc x3, x3, x11 + + cmp ix, xzr + ccmp bias, xzr, #4, ne + + csel x0, x0, x8, ne + csel x1, x1, x9, ne + stp x0, x1, [tabent+64] + csel x2, x2, x10, ne + csel x3, x3, x11, ne + stp x2, x3, [tabent+80] + +// Extended-projective and precomputed mixed addition. +// This is effectively the same as calling the standalone +// function edwards25519_pepadd(acc,acc,tabent), but we +// only retain slightly weaker normalization < 2 * p_25519 +// throughout the inner loop, so the computation is +// slightly different, and faster overall. + + double_twice4(t0,z_1) + sub_twice4(t1,y_1,x_1) + add_twice4(t2,y_1,x_1) + mul_4(t3,w_1,kxy_2) + mul_4(t1,t1,ymx_2) + mul_4(t2,t2,xpy_2) + sub_twice4(t4,t0,t3) + add_twice4(t0,t0,t3) + sub_twice4(t5,t2,t1) + add_twice4(t1,t2,t1) + mul_4(z_3,t4,t0) + mul_4(x_3,t5,t4) + mul_4(y_3,t0,t1) + mul_4(w_3,t5,t1) + +// End of the main loop; move on by 4 bits. + + add i, i, 4 + cmp i, 256 + bcc Lcurve25519_x25519base_scalarloop + +// Now we need to translate from Edwards curve edwards25519 back +// to the Montgomery form curve25519. The mapping in the affine +// representations is +// +// (x,y) |-> ((1 + y) / (1 - y), c * (1 + y) / ((1 - y) * x)) +// +// For x25519, we only need the x coordinate, and we compute this as +// +// (1 + y) / (1 - y) = (x + x * y) / (x - x * y) +// = (X/Z + T/Z) / (X/Z - T/Z) +// = (X + T) / (X - T) +// = (X + T) * inverse(X - T) +// +// We could equally well use (Z + Y) / (Z - Y), but the above has the +// same cost, and it more explicitly forces zero output whenever X = 0, +// regardless of how the modular inverse behaves on zero inputs. In +// the present setting (base point 9, mangled scalar) that doesn't +// really matter anyway since X = 0 never arises, but it seems a +// little bit tidier. Note that both Edwards point (0,1) which maps to +// the Montgomery point at infinity, and Edwards (0,-1) which maps to +// Montgomery (0,0) [this is the 2-torsion point] are both by definition +// mapped to 0 by the X coordinate mapping used to define curve25519. +// +// First the addition and subtraction: + + add_twice4(t1,x_3,w_3) + sub_twice4(t2,x_3,w_3) + +// Prepare to call the modular inverse function to get t0 = 1/t2 +// Note that this works for the weakly normalized z_3 equally well. +// The non-coprime case z_3 == 0 (mod p_25519) cannot arise anyway. + + add x0, t0 + add x1, t2 + +// Inline copy of bignum_inv_p25519, identical except for stripping out +// the prologue and epilogue saving and restoring registers and making +// and reclaiming room on the stack. For more details and explanations see +// "arm/curve25519/bignum_inv_p25519.S". Note that the stack it uses for +// its own temporaries is 128 bytes, so it has no effect on variables +// that are needed in the rest of our computation here: res, t0, t1, t2. + + mov x20, x0 + mov x10, #0xffffffffffffffed + mov x11, #0xffffffffffffffff + stp x10, x11, [sp] + mov x12, #0x7fffffffffffffff + stp x11, x12, [sp, #16] + ldp x2, x3, [x1] + ldp x4, x5, [x1, #16] + mov x7, #0x13 + lsr x6, x5, #63 + madd x6, x7, x6, x7 + adds x2, x2, x6 + adcs x3, x3, xzr + adcs x4, x4, xzr + orr x5, x5, #0x8000000000000000 + adcs x5, x5, xzr + csel x6, x7, xzr, cc + subs x2, x2, x6 + sbcs x3, x3, xzr + sbcs x4, x4, xzr + sbc x5, x5, xzr + and x5, x5, #0x7fffffffffffffff + stp x2, x3, [sp, #32] + stp x4, x5, [sp, #48] + stp xzr, xzr, [sp, #64] + stp xzr, xzr, [sp, #80] + mov x10, #0x2099 + movk x10, #0x7502, lsl #16 + movk x10, #0x9e23, lsl #32 + movk x10, #0xa0f9, lsl #48 + mov x11, #0x2595 + movk x11, #0x1d13, lsl #16 + movk x11, #0x8f3f, lsl #32 + movk x11, #0xa8c6, lsl #48 + mov x12, #0x5242 + movk x12, #0x5ac, lsl #16 + movk x12, #0x8938, lsl #32 + movk x12, #0x6c6c, lsl #48 + mov x13, #0x615 + movk x13, #0x4177, lsl #16 + movk x13, #0x8b2, lsl #32 + movk x13, #0x2765, lsl #48 + stp x10, x11, [sp, #96] + stp x12, x13, [sp, #112] + mov x21, #0xa + mov x22, #0x1 + b Lcurve25519_x25519base_invmidloop +Lcurve25519_x25519base_invloop: + cmp x10, xzr + csetm x14, mi + cneg x10, x10, mi + cmp x11, xzr + csetm x15, mi + cneg x11, x11, mi + cmp x12, xzr + csetm x16, mi + cneg x12, x12, mi + cmp x13, xzr + csetm x17, mi + cneg x13, x13, mi + and x0, x10, x14 + and x1, x11, x15 + add x9, x0, x1 + and x0, x12, x16 + and x1, x13, x17 + add x19, x0, x1 + ldr x7, [sp] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #32] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + adc x2, x2, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x5, x19, x0 + adc x3, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x7, [sp, #8] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #40] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + adc x6, x6, x1 + extr x4, x2, x4, #59 + str x4, [sp] + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x3, x3, x0 + adc x4, x4, x1 + extr x5, x3, x5, #59 + str x5, [sp, #32] + ldr x7, [sp, #16] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #48] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + adc x5, x5, x1 + extr x2, x6, x2, #59 + str x2, [sp, #8] + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x4, x4, x0 + adc x2, x2, x1 + extr x3, x4, x3, #59 + str x3, [sp, #40] + ldr x7, [sp, #24] + eor x1, x7, x14 + asr x3, x1, #63 + and x3, x3, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #56] + eor x1, x8, x15 + asr x0, x1, #63 + and x0, x0, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x5, x6, #59 + str x6, [sp, #16] + extr x5, x3, x5, #59 + str x5, [sp, #24] + eor x1, x7, x16 + asr x5, x1, #63 + and x5, x5, x12 + neg x5, x5 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, x17 + asr x0, x1, #63 + and x0, x0, x13 + sub x5, x5, x0 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x2, x2, x0 + adc x5, x5, x1 + extr x4, x2, x4, #59 + str x4, [sp, #48] + extr x2, x5, x2, #59 + str x2, [sp, #56] + ldr x7, [sp, #64] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #96] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + str x4, [sp, #64] + adc x2, x2, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x5, x19, x0 + adc x3, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x5, x5, x0 + str x5, [sp, #96] + adc x3, x3, x1 + ldr x7, [sp, #72] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #104] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + str x2, [sp, #72] + adc x6, x6, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x3, x3, x0 + str x3, [sp, #104] + adc x4, x4, x1 + ldr x7, [sp, #80] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #112] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + str x6, [sp, #80] + adc x5, x5, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x4, x4, x0 + str x4, [sp, #112] + adc x2, x2, x1 + ldr x7, [sp, #88] + eor x1, x7, x14 + and x3, x14, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #120] + eor x1, x8, x15 + and x0, x15, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x3, x5, #63 + ldp x0, x1, [sp, #64] + add x6, x6, x3, asr #63 + mov x3, #0x13 + mul x4, x6, x3 + add x5, x5, x6, lsl #63 + smulh x3, x6, x3 + ldr x6, [sp, #80] + adds x0, x0, x4 + adcs x1, x1, x3 + asr x3, x3, #63 + adcs x6, x6, x3 + adc x5, x5, x3 + stp x0, x1, [sp, #64] + stp x6, x5, [sp, #80] + eor x1, x7, x16 + and x5, x16, x12 + neg x5, x5 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, x17 + and x0, x17, x13 + sub x5, x5, x0 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x2, x2, x0 + adc x5, x5, x1 + extr x6, x5, x2, #63 + ldp x0, x1, [sp, #96] + add x6, x6, x5, asr #63 + mov x5, #0x13 + mul x4, x6, x5 + add x2, x2, x6, lsl #63 + smulh x5, x6, x5 + ldr x3, [sp, #112] + adds x0, x0, x4 + adcs x1, x1, x5 + asr x5, x5, #63 + adcs x3, x3, x5 + adc x2, x2, x5 + stp x0, x1, [sp, #96] + stp x3, x2, [sp, #112] +Lcurve25519_x25519base_invmidloop: + mov x1, x22 + ldr x2, [sp] + ldr x3, [sp, #32] + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x8, x4, #0x100, lsl #12 + sbfx x8, x8, #21, #21 + mov x11, #0x100000 + add x11, x11, x11, lsl #21 + add x9, x4, x11 + asr x9, x9, #42 + add x10, x5, #0x100, lsl #12 + sbfx x10, x10, #21, #21 + add x11, x5, x11 + asr x11, x11, #42 + mul x6, x8, x2 + mul x7, x9, x3 + mul x2, x10, x2 + mul x3, x11, x3 + add x4, x6, x7 + add x5, x2, x3 + asr x2, x4, #20 + asr x3, x5, #20 + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x12, x4, #0x100, lsl #12 + sbfx x12, x12, #21, #21 + mov x15, #0x100000 + add x15, x15, x15, lsl #21 + add x13, x4, x15 + asr x13, x13, #42 + add x14, x5, #0x100, lsl #12 + sbfx x14, x14, #21, #21 + add x15, x5, x15 + asr x15, x15, #42 + mul x6, x12, x2 + mul x7, x13, x3 + mul x2, x14, x2 + mul x3, x15, x3 + add x4, x6, x7 + add x5, x2, x3 + asr x2, x4, #20 + asr x3, x5, #20 + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + mul x2, x12, x8 + mul x3, x12, x9 + mul x6, x14, x8 + mul x7, x14, x9 + madd x8, x13, x10, x2 + madd x9, x13, x11, x3 + madd x16, x15, x10, x6 + madd x17, x15, x11, x7 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x12, x4, #0x100, lsl #12 + sbfx x12, x12, #22, #21 + mov x15, #0x100000 + add x15, x15, x15, lsl #21 + add x13, x4, x15 + asr x13, x13, #43 + add x14, x5, #0x100, lsl #12 + sbfx x14, x14, #22, #21 + add x15, x5, x15 + asr x15, x15, #43 + mneg x2, x12, x8 + mneg x3, x12, x9 + mneg x4, x14, x8 + mneg x5, x14, x9 + msub x10, x13, x16, x2 + msub x11, x13, x17, x3 + msub x12, x15, x16, x4 + msub x13, x15, x17, x5 + mov x22, x1 + subs x21, x21, #0x1 + b.ne Lcurve25519_x25519base_invloop + ldr x0, [sp] + ldr x1, [sp, #32] + mul x0, x0, x10 + madd x1, x1, x11, x0 + asr x0, x1, #63 + cmp x10, xzr + csetm x14, mi + cneg x10, x10, mi + eor x14, x14, x0 + cmp x11, xzr + csetm x15, mi + cneg x11, x11, mi + eor x15, x15, x0 + cmp x12, xzr + csetm x16, mi + cneg x12, x12, mi + eor x16, x16, x0 + cmp x13, xzr + csetm x17, mi + cneg x13, x13, mi + eor x17, x17, x0 + and x0, x10, x14 + and x1, x11, x15 + add x9, x0, x1 + ldr x7, [sp, #64] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #96] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + str x4, [sp, #64] + adc x2, x2, x1 + ldr x7, [sp, #72] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #104] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + str x2, [sp, #72] + adc x6, x6, x1 + ldr x7, [sp, #80] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #112] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + str x6, [sp, #80] + adc x5, x5, x1 + ldr x7, [sp, #88] + eor x1, x7, x14 + and x3, x14, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #120] + eor x1, x8, x15 + and x0, x15, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x3, x5, #63 + ldp x0, x1, [sp, #64] + tst x3, x3 + cinc x6, x6, pl + mov x3, #0x13 + mul x4, x6, x3 + add x5, x5, x6, lsl #63 + smulh x6, x6, x3 + ldr x2, [sp, #80] + adds x0, x0, x4 + adcs x1, x1, x6 + asr x6, x6, #63 + adcs x2, x2, x6 + adcs x5, x5, x6 + csel x3, x3, xzr, mi + subs x0, x0, x3 + sbcs x1, x1, xzr + sbcs x2, x2, xzr + sbc x5, x5, xzr + and x5, x5, #0x7fffffffffffffff + mov x4, x20 + stp x0, x1, [x4] + stp x2, x5, [x4, #16] + +// The final result is (X + T) / (X - T) +// This is the only operation in the whole computation that +// fully reduces modulo p_25519 since now we want the canonical +// answer as output. + + mul_p25519(resx,t1,t0) + +// Restore stack and registers + + CFI_INC_SP(NSPACE) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(curve25519_x25519base) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif + +// **************************************************************************** +// The precomputed data (all read-only). +// **************************************************************************** + +#if defined(__ELF__) +.section .rodata +.type S2N_BN_SYMBOL(curve25519_x25519base_constant), %object +.size S2N_BN_SYMBOL(curve25519_x25519base_constant), 48576 +#elif defined(__APPLE__) +.const_data +#endif + +S2N_BN_SYMBOL(curve25519_x25519base_constant): + +// 2^254 * G and (2^254 + 8) * G in extended-projective coordinates +// but with Z = 1 assumed and hence left out, so they are (X,Y,T) only. + + .quad 0x251037f7cf4e861d + .quad 0x10ede0fb19fb128f + .quad 0x96c033b175f5e2c8 + .quad 0x055f070d6c15fb0d + .quad 0x7c52af2c97473e69 + .quad 0x022f82391bad8378 + .quad 0x9991e1b02adb476f + .quad 0x511144a03a99b855 + .quad 0x5fafc3b88ff2e4ae + .quad 0x855e4ff0de1230ff + .quad 0x72e302a348492870 + .quad 0x1253c19e53dbe1bc + + .quad 0x331d086e0d9abcaa + .quad 0x1e23c96d311a10c9 + .quad 0x96d0f95e58c13478 + .quad 0x2f72f7384fcfcc59 + .quad 0x39a6cd1cfd7d87c9 + .quad 0x9867a0abd8ae153a + .quad 0xa49d2a5f35986745 + .quad 0x57012940cdfe82e1 + .quad 0x5046a6532ec5544a + .quad 0x6d674004739ff6c9 + .quad 0x9bbaa44b234a70e3 + .quad 0x5e6d8901138cf386 + +// Precomputed table of multiples of generator for edwards25519 +// all in precomputed extended-projective (y-x,x+y,2*d*x*y) triples. + + // 2^4 * 1 * G + + .quad 0x7ec851ca553e2df3 + .quad 0xa71284cba64878b3 + .quad 0xe6b5e4193288d1e7 + .quad 0x4cf210ec5a9a8883 + .quad 0x322d04a52d9021f6 + .quad 0xb9c19f3375c6bf9c + .quad 0x587a3a4342d20b09 + .quad 0x143b1cf8aa64fe61 + .quad 0x9f867c7d968acaab + .quad 0x5f54258e27092729 + .quad 0xd0a7d34bea180975 + .quad 0x21b546a3374126e1 + + // 2^4 * 2 * G + + .quad 0xa94ff858a2888343 + .quad 0xce0ed4565313ed3c + .quad 0xf55c3dcfb5bf34fa + .quad 0x0a653ca5c9eab371 + .quad 0x490a7a45d185218f + .quad 0x9a15377846049335 + .quad 0x0060ea09cc31e1f6 + .quad 0x7e041577f86ee965 + .quad 0x66b2a496ce5b67f3 + .quad 0xff5492d8bd569796 + .quad 0x503cec294a592cd0 + .quad 0x566943650813acb2 + + // 2^4 * 3 * G + + .quad 0xb818db0c26620798 + .quad 0x5d5c31d9606e354a + .quad 0x0982fa4f00a8cdc7 + .quad 0x17e12bcd4653e2d4 + .quad 0x5672f9eb1dabb69d + .quad 0xba70b535afe853fc + .quad 0x47ac0f752796d66d + .quad 0x32a5351794117275 + .quad 0xd3a644a6df648437 + .quad 0x703b6559880fbfdd + .quad 0xcb852540ad3a1aa5 + .quad 0x0900b3f78e4c6468 + + // 2^4 * 4 * G + + .quad 0x0a851b9f679d651b + .quad 0xe108cb61033342f2 + .quad 0xd601f57fe88b30a3 + .quad 0x371f3acaed2dd714 + .quad 0xed280fbec816ad31 + .quad 0x52d9595bd8e6efe3 + .quad 0x0fe71772f6c623f5 + .quad 0x4314030b051e293c + .quad 0xd560005efbf0bcad + .quad 0x8eb70f2ed1870c5e + .quad 0x201f9033d084e6a0 + .quad 0x4c3a5ae1ce7b6670 + + // 2^4 * 5 * G + + .quad 0x4138a434dcb8fa95 + .quad 0x870cf67d6c96840b + .quad 0xde388574297be82c + .quad 0x7c814db27262a55a + .quad 0xbaf875e4c93da0dd + .quad 0xb93282a771b9294d + .quad 0x80d63fb7f4c6c460 + .quad 0x6de9c73dea66c181 + .quad 0x478904d5a04df8f2 + .quad 0xfafbae4ab10142d3 + .quad 0xf6c8ac63555d0998 + .quad 0x5aac4a412f90b104 + + // 2^4 * 6 * G + + .quad 0xc64f326b3ac92908 + .quad 0x5551b282e663e1e0 + .quad 0x476b35f54a1a4b83 + .quad 0x1b9da3fe189f68c2 + .quad 0x603a0d0abd7f5134 + .quad 0x8089c932e1d3ae46 + .quad 0xdf2591398798bd63 + .quad 0x1c145cd274ba0235 + .quad 0x32e8386475f3d743 + .quad 0x365b8baf6ae5d9ef + .quad 0x825238b6385b681e + .quad 0x234929c1167d65e1 + + // 2^4 * 7 * G + + .quad 0x984decaba077ade8 + .quad 0x383f77ad19eb389d + .quad 0xc7ec6b7e2954d794 + .quad 0x59c77b3aeb7c3a7a + .quad 0x48145cc21d099fcf + .quad 0x4535c192cc28d7e5 + .quad 0x80e7c1e548247e01 + .quad 0x4a5f28743b2973ee + .quad 0xd3add725225ccf62 + .quad 0x911a3381b2152c5d + .quad 0xd8b39fad5b08f87d + .quad 0x6f05606b4799fe3b + + // 2^4 * 8 * G + + .quad 0x9ffe9e92177ba962 + .quad 0x98aee71d0de5cae1 + .quad 0x3ff4ae942d831044 + .quad 0x714de12e58533ac8 + .quad 0x5b433149f91b6483 + .quad 0xadb5dc655a2cbf62 + .quad 0x87fa8412632827b3 + .quad 0x60895e91ab49f8d8 + .quad 0xe9ecf2ed0cf86c18 + .quad 0xb46d06120735dfd4 + .quad 0xbc9da09804b96be7 + .quad 0x73e2e62fd96dc26b + + // 2^8 * 1 * G + + .quad 0xed5b635449aa515e + .quad 0xa865c49f0bc6823a + .quad 0x850c1fe95b42d1c4 + .quad 0x30d76d6f03d315b9 + .quad 0x2eccdd0e632f9c1d + .quad 0x51d0b69676893115 + .quad 0x52dfb76ba8637a58 + .quad 0x6dd37d49a00eef39 + .quad 0x6c4444172106e4c7 + .quad 0xfb53d680928d7f69 + .quad 0xb4739ea4694d3f26 + .quad 0x10c697112e864bb0 + + // 2^8 * 2 * G + + .quad 0x6493c4277dbe5fde + .quad 0x265d4fad19ad7ea2 + .quad 0x0e00dfc846304590 + .quad 0x25e61cabed66fe09 + .quad 0x0ca62aa08358c805 + .quad 0x6a3d4ae37a204247 + .quad 0x7464d3a63b11eddc + .quad 0x03bf9baf550806ef + .quad 0x3f13e128cc586604 + .quad 0x6f5873ecb459747e + .quad 0xa0b63dedcc1268f5 + .quad 0x566d78634586e22c + + // 2^8 * 3 * G + + .quad 0x1637a49f9cc10834 + .quad 0xbc8e56d5a89bc451 + .quad 0x1cb5ec0f7f7fd2db + .quad 0x33975bca5ecc35d9 + .quad 0xa1054285c65a2fd0 + .quad 0x6c64112af31667c3 + .quad 0x680ae240731aee58 + .quad 0x14fba5f34793b22a + .quad 0x3cd746166985f7d4 + .quad 0x593e5e84c9c80057 + .quad 0x2fc3f2b67b61131e + .quad 0x14829cea83fc526c + + // 2^8 * 4 * G + + .quad 0xff437b8497dd95c2 + .quad 0x6c744e30aa4eb5a7 + .quad 0x9e0c5d613c85e88b + .quad 0x2fd9c71e5f758173 + .quad 0x21e70b2f4e71ecb8 + .quad 0xe656ddb940a477e3 + .quad 0xbf6556cece1d4f80 + .quad 0x05fc3bc4535d7b7e + .quad 0x24b8b3ae52afdedd + .quad 0x3495638ced3b30cf + .quad 0x33a4bc83a9be8195 + .quad 0x373767475c651f04 + + // 2^8 * 5 * G + + .quad 0x2fba99fd40d1add9 + .quad 0xb307166f96f4d027 + .quad 0x4363f05215f03bae + .quad 0x1fbea56c3b18f999 + .quad 0x634095cb14246590 + .quad 0xef12144016c15535 + .quad 0x9e38140c8910bc60 + .quad 0x6bf5905730907c8c + .quad 0x0fa778f1e1415b8a + .quad 0x06409ff7bac3a77e + .quad 0x6f52d7b89aa29a50 + .quad 0x02521cf67a635a56 + + // 2^8 * 6 * G + + .quad 0x513fee0b0a9d5294 + .quad 0x8f98e75c0fdf5a66 + .quad 0xd4618688bfe107ce + .quad 0x3fa00a7e71382ced + .quad 0xb1146720772f5ee4 + .quad 0xe8f894b196079ace + .quad 0x4af8224d00ac824a + .quad 0x001753d9f7cd6cc4 + .quad 0x3c69232d963ddb34 + .quad 0x1dde87dab4973858 + .quad 0xaad7d1f9a091f285 + .quad 0x12b5fe2fa048edb6 + + // 2^8 * 7 * G + + .quad 0x71f0fbc496fce34d + .quad 0x73b9826badf35bed + .quad 0xd2047261ff28c561 + .quad 0x749b76f96fb1206f + .quad 0xdf2b7c26ad6f1e92 + .quad 0x4b66d323504b8913 + .quad 0x8c409dc0751c8bc3 + .quad 0x6f7e93c20796c7b8 + .quad 0x1f5af604aea6ae05 + .quad 0xc12351f1bee49c99 + .quad 0x61a808b5eeff6b66 + .quad 0x0fcec10f01e02151 + + // 2^8 * 8 * G + + .quad 0x644d58a649fe1e44 + .quad 0x21fcaea231ad777e + .quad 0x02441c5a887fd0d2 + .quad 0x4901aa7183c511f3 + .quad 0x3df2d29dc4244e45 + .quad 0x2b020e7493d8de0a + .quad 0x6cc8067e820c214d + .quad 0x413779166feab90a + .quad 0x08b1b7548c1af8f0 + .quad 0xce0f7a7c246299b4 + .quad 0xf760b0f91e06d939 + .quad 0x41bb887b726d1213 + + // 2^12 * 1 * G + + .quad 0x9267806c567c49d8 + .quad 0x066d04ccca791e6a + .quad 0xa69f5645e3cc394b + .quad 0x5c95b686a0788cd2 + .quad 0x97d980e0aa39f7d2 + .quad 0x35d0384252c6b51c + .quad 0x7d43f49307cd55aa + .quad 0x56bd36cfb78ac362 + .quad 0x2ac519c10d14a954 + .quad 0xeaf474b494b5fa90 + .quad 0xe6af8382a9f87a5a + .quad 0x0dea6db1879be094 + + // 2^12 * 2 * G + + .quad 0xaa66bf547344e5ab + .quad 0xda1258888f1b4309 + .quad 0x5e87d2b3fd564b2f + .quad 0x5b2c78885483b1dd + .quad 0x15baeb74d6a8797a + .quad 0x7ef55cf1fac41732 + .quad 0x29001f5a3c8b05c5 + .quad 0x0ad7cc8752eaccfb + .quad 0x52151362793408cf + .quad 0xeb0f170319963d94 + .quad 0xa833b2fa883d9466 + .quad 0x093a7fa775003c78 + + // 2^12 * 3 * G + + .quad 0xe5107de63a16d7be + .quad 0xa377ffdc9af332cf + .quad 0x70d5bf18440b677f + .quad 0x6a252b19a4a31403 + .quad 0xb8e9604460a91286 + .quad 0x7f3fd8047778d3de + .quad 0x67d01e31bf8a5e2d + .quad 0x7b038a06c27b653e + .quad 0x9ed919d5d36990f3 + .quad 0x5213aebbdb4eb9f2 + .quad 0xc708ea054cb99135 + .quad 0x58ded57f72260e56 + + // 2^12 * 4 * G + + .quad 0x78e79dade9413d77 + .quad 0xf257f9d59729e67d + .quad 0x59db910ee37aa7e6 + .quad 0x6aa11b5bbb9e039c + .quad 0xda6d53265b0fd48b + .quad 0x8960823193bfa988 + .quad 0xd78ac93261d57e28 + .quad 0x79f2942d3a5c8143 + .quad 0x97da2f25b6c88de9 + .quad 0x251ba7eaacf20169 + .quad 0x09b44f87ef4eb4e4 + .quad 0x7d90ab1bbc6a7da5 + + // 2^12 * 5 * G + + .quad 0x9acca683a7016bfe + .quad 0x90505f4df2c50b6d + .quad 0x6b610d5fcce435aa + .quad 0x19a10d446198ff96 + .quad 0x1a07a3f496b3c397 + .quad 0x11ceaa188f4e2532 + .quad 0x7d9498d5a7751bf0 + .quad 0x19ed161f508dd8a0 + .quad 0x560a2cd687dce6ca + .quad 0x7f3568c48664cf4d + .quad 0x8741e95222803a38 + .quad 0x483bdab1595653fc + + // 2^12 * 6 * G + + .quad 0xfa780f148734fa49 + .quad 0x106f0b70360534e0 + .quad 0x2210776fe3e307bd + .quad 0x3286c109dde6a0fe + .quad 0xd6cf4d0ab4da80f6 + .quad 0x82483e45f8307fe0 + .quad 0x05005269ae6f9da4 + .quad 0x1c7052909cf7877a + .quad 0x32ee7de2874e98d4 + .quad 0x14c362e9b97e0c60 + .quad 0x5781dcde6a60a38a + .quad 0x217dd5eaaa7aa840 + + // 2^12 * 7 * G + + .quad 0x9db7c4d0248e1eb0 + .quad 0xe07697e14d74bf52 + .quad 0x1e6a9b173c562354 + .quad 0x7fa7c21f795a4965 + .quad 0x8bdf1fb9be8c0ec8 + .quad 0x00bae7f8e30a0282 + .quad 0x4963991dad6c4f6c + .quad 0x07058a6e5df6f60a + .quad 0xe9eb02c4db31f67f + .quad 0xed25fd8910bcfb2b + .quad 0x46c8131f5c5cddb4 + .quad 0x33b21c13a0cb9bce + + // 2^12 * 8 * G + + .quad 0x360692f8087d8e31 + .quad 0xf4dcc637d27163f7 + .quad 0x25a4e62065ea5963 + .quad 0x659bf72e5ac160d9 + .quad 0x9aafb9b05ee38c5b + .quad 0xbf9d2d4e071a13c7 + .quad 0x8eee6e6de933290a + .quad 0x1c3bab17ae109717 + .quad 0x1c9ab216c7cab7b0 + .quad 0x7d65d37407bbc3cc + .quad 0x52744750504a58d5 + .quad 0x09f2606b131a2990 + + // 2^16 * 1 * G + + .quad 0x40e87d44744346be + .quad 0x1d48dad415b52b25 + .quad 0x7c3a8a18a13b603e + .quad 0x4eb728c12fcdbdf7 + .quad 0x7e234c597c6691ae + .quad 0x64889d3d0a85b4c8 + .quad 0xdae2c90c354afae7 + .quad 0x0a871e070c6a9e1d + .quad 0x3301b5994bbc8989 + .quad 0x736bae3a5bdd4260 + .quad 0x0d61ade219d59e3c + .quad 0x3ee7300f2685d464 + + // 2^16 * 2 * G + + .quad 0xf5d255e49e7dd6b7 + .quad 0x8016115c610b1eac + .quad 0x3c99975d92e187ca + .quad 0x13815762979125c2 + .quad 0x43fa7947841e7518 + .quad 0xe5c6fa59639c46d7 + .quad 0xa1065e1de3052b74 + .quad 0x7d47c6a2cfb89030 + .quad 0x3fdad0148ef0d6e0 + .quad 0x9d3e749a91546f3c + .quad 0x71ec621026bb8157 + .quad 0x148cf58d34c9ec80 + + // 2^16 * 3 * G + + .quad 0x46a492f67934f027 + .quad 0x469984bef6840aa9 + .quad 0x5ca1bc2a89611854 + .quad 0x3ff2fa1ebd5dbbd4 + .quad 0xe2572f7d9ae4756d + .quad 0x56c345bb88f3487f + .quad 0x9fd10b6d6960a88d + .quad 0x278febad4eaea1b9 + .quad 0xb1aa681f8c933966 + .quad 0x8c21949c20290c98 + .quad 0x39115291219d3c52 + .quad 0x4104dd02fe9c677b + + // 2^16 * 4 * G + + .quad 0x72b2bf5e1124422a + .quad 0xa1fa0c3398a33ab5 + .quad 0x94cb6101fa52b666 + .quad 0x2c863b00afaf53d5 + .quad 0x81214e06db096ab8 + .quad 0x21a8b6c90ce44f35 + .quad 0x6524c12a409e2af5 + .quad 0x0165b5a48efca481 + .quad 0xf190a474a0846a76 + .quad 0x12eff984cd2f7cc0 + .quad 0x695e290658aa2b8f + .quad 0x591b67d9bffec8b8 + + // 2^16 * 5 * G + + .quad 0x312f0d1c80b49bfa + .quad 0x5979515eabf3ec8a + .quad 0x727033c09ef01c88 + .quad 0x3de02ec7ca8f7bcb + .quad 0x99b9b3719f18b55d + .quad 0xe465e5faa18c641e + .quad 0x61081136c29f05ed + .quad 0x489b4f867030128b + .quad 0xd232102d3aeb92ef + .quad 0xe16253b46116a861 + .quad 0x3d7eabe7190baa24 + .quad 0x49f5fbba496cbebf + + // 2^16 * 6 * G + + .quad 0x30949a108a5bcfd4 + .quad 0xdc40dd70bc6473eb + .quad 0x92c294c1307c0d1c + .quad 0x5604a86dcbfa6e74 + .quad 0x155d628c1e9c572e + .quad 0x8a4d86acc5884741 + .quad 0x91a352f6515763eb + .quad 0x06a1a6c28867515b + .quad 0x7288d1d47c1764b6 + .quad 0x72541140e0418b51 + .quad 0x9f031a6018acf6d1 + .quad 0x20989e89fe2742c6 + + // 2^16 * 7 * G + + .quad 0x499777fd3a2dcc7f + .quad 0x32857c2ca54fd892 + .quad 0xa279d864d207e3a0 + .quad 0x0403ed1d0ca67e29 + .quad 0x1674278b85eaec2e + .quad 0x5621dc077acb2bdf + .quad 0x640a4c1661cbf45a + .quad 0x730b9950f70595d3 + .quad 0xc94b2d35874ec552 + .quad 0xc5e6c8cf98246f8d + .quad 0xf7cb46fa16c035ce + .quad 0x5bd7454308303dcc + + // 2^16 * 8 * G + + .quad 0x7f9ad19528b24cc2 + .quad 0x7f6b54656335c181 + .quad 0x66b8b66e4fc07236 + .quad 0x133a78007380ad83 + .quad 0x85c4932115e7792a + .quad 0xc64c89a2bdcdddc9 + .quad 0x9d1e3da8ada3d762 + .quad 0x5bb7db123067f82c + .quad 0x0961f467c6ca62be + .quad 0x04ec21d6211952ee + .quad 0x182360779bd54770 + .quad 0x740dca6d58f0e0d2 + + // 2^20 * 1 * G + + .quad 0x50b70bf5d3f0af0b + .quad 0x4feaf48ae32e71f7 + .quad 0x60e84ed3a55bbd34 + .quad 0x00ed489b3f50d1ed + .quad 0x3906c72aed261ae5 + .quad 0x9ab68fd988e100f7 + .quad 0xf5e9059af3360197 + .quad 0x0e53dc78bf2b6d47 + .quad 0xb90829bf7971877a + .quad 0x5e4444636d17e631 + .quad 0x4d05c52e18276893 + .quad 0x27632d9a5a4a4af5 + + // 2^20 * 2 * G + + .quad 0xd11ff05154b260ce + .quad 0xd86dc38e72f95270 + .quad 0x601fcd0d267cc138 + .quad 0x2b67916429e90ccd + .quad 0xa98285d187eaffdb + .quad 0xa5b4fbbbd8d0a864 + .quad 0xb658f27f022663f7 + .quad 0x3bbc2b22d99ce282 + .quad 0xb917c952583c0a58 + .quad 0x653ff9b80fe4c6f3 + .quad 0x9b0da7d7bcdf3c0c + .quad 0x43a0eeb6ab54d60e + + // 2^20 * 3 * G + + .quad 0x396966a46d4a5487 + .quad 0xf811a18aac2bb3ba + .quad 0x66e4685b5628b26b + .quad 0x70a477029d929b92 + .quad 0x3ac6322357875fe8 + .quad 0xd9d4f4ecf5fbcb8f + .quad 0x8dee8493382bb620 + .quad 0x50c5eaa14c799fdc + .quad 0xdd0edc8bd6f2fb3c + .quad 0x54c63aa79cc7b7a0 + .quad 0xae0b032b2c8d9f1a + .quad 0x6f9ce107602967fb + + // 2^20 * 4 * G + + .quad 0xad1054b1cde1c22a + .quad 0xc4a8e90248eb32df + .quad 0x5f3e7b33accdc0ea + .quad 0x72364713fc79963e + .quad 0x139693063520e0b5 + .quad 0x437fcf7c88ea03fe + .quad 0xf7d4c40bd3c959bc + .quad 0x699154d1f893ded9 + .quad 0x315d5c75b4b27526 + .quad 0xcccb842d0236daa5 + .quad 0x22f0c8a3345fee8e + .quad 0x73975a617d39dbed + + // 2^20 * 5 * G + + .quad 0xe4024df96375da10 + .quad 0x78d3251a1830c870 + .quad 0x902b1948658cd91c + .quad 0x7e18b10b29b7438a + .quad 0x6f37f392f4433e46 + .quad 0x0e19b9a11f566b18 + .quad 0x220fb78a1fd1d662 + .quad 0x362a4258a381c94d + .quad 0x9071d9132b6beb2f + .quad 0x0f26e9ad28418247 + .quad 0xeab91ec9bdec925d + .quad 0x4be65bc8f48af2de + + // 2^20 * 6 * G + + .quad 0x78487feba36e7028 + .quad 0x5f3f13001dd8ce34 + .quad 0x934fb12d4b30c489 + .quad 0x056c244d397f0a2b + .quad 0x1d50fba257c26234 + .quad 0x7bd4823adeb0678b + .quad 0xc2b0dc6ea6538af5 + .quad 0x5665eec6351da73e + .quad 0xdb3ee00943bfb210 + .quad 0x4972018720800ac2 + .quad 0x26ab5d6173bd8667 + .quad 0x20b209c2ab204938 + + // 2^20 * 7 * G + + .quad 0x549e342ac07fb34b + .quad 0x02d8220821373d93 + .quad 0xbc262d70acd1f567 + .quad 0x7a92c9fdfbcac784 + .quad 0x1fcca94516bd3289 + .quad 0x448d65aa41420428 + .quad 0x59c3b7b216a55d62 + .quad 0x49992cc64e612cd8 + .quad 0x65bd1bea70f801de + .quad 0x1befb7c0fe49e28a + .quad 0xa86306cdb1b2ae4a + .quad 0x3b7ac0cd265c2a09 + + // 2^20 * 8 * G + + .quad 0x822bee438c01bcec + .quad 0x530cb525c0fbc73b + .quad 0x48519034c1953fe9 + .quad 0x265cc261e09a0f5b + .quad 0xf0d54e4f22ed39a7 + .quad 0xa2aae91e5608150a + .quad 0xf421b2e9eddae875 + .quad 0x31bc531d6b7de992 + .quad 0xdf3d134da980f971 + .quad 0x7a4fb8d1221a22a7 + .quad 0x3df7d42035aad6d8 + .quad 0x2a14edcc6a1a125e + + // 2^24 * 1 * G + + .quad 0xdf48ee0752cfce4e + .quad 0xc3fffaf306ec08b7 + .quad 0x05710b2ab95459c4 + .quad 0x161d25fa963ea38d + .quad 0x231a8c570478433c + .quad 0xb7b5270ec281439d + .quad 0xdbaa99eae3d9079f + .quad 0x2c03f5256c2b03d9 + .quad 0x790f18757b53a47d + .quad 0x307b0130cf0c5879 + .quad 0x31903d77257ef7f9 + .quad 0x699468bdbd96bbaf + + // 2^24 * 2 * G + + .quad 0xbd1f2f46f4dafecf + .quad 0x7cef0114a47fd6f7 + .quad 0xd31ffdda4a47b37f + .quad 0x525219a473905785 + .quad 0xd8dd3de66aa91948 + .quad 0x485064c22fc0d2cc + .quad 0x9b48246634fdea2f + .quad 0x293e1c4e6c4a2e3a + .quad 0x376e134b925112e1 + .quad 0x703778b5dca15da0 + .quad 0xb04589af461c3111 + .quad 0x5b605c447f032823 + + // 2^24 * 3 * G + + .quad 0xb965805920c47c89 + .quad 0xe7f0100c923b8fcc + .quad 0x0001256502e2ef77 + .quad 0x24a76dcea8aeb3ee + .quad 0x3be9fec6f0e7f04c + .quad 0x866a579e75e34962 + .quad 0x5542ef161e1de61a + .quad 0x2f12fef4cc5abdd5 + .quad 0x0a4522b2dfc0c740 + .quad 0x10d06e7f40c9a407 + .quad 0xc6cf144178cff668 + .quad 0x5e607b2518a43790 + + // 2^24 * 4 * G + + .quad 0x58b31d8f6cdf1818 + .quad 0x35cfa74fc36258a2 + .quad 0xe1b3ff4f66e61d6e + .quad 0x5067acab6ccdd5f7 + .quad 0xa02c431ca596cf14 + .quad 0xe3c42d40aed3e400 + .quad 0xd24526802e0f26db + .quad 0x201f33139e457068 + .quad 0xfd527f6b08039d51 + .quad 0x18b14964017c0006 + .quad 0xd5220eb02e25a4a8 + .quad 0x397cba8862460375 + + // 2^24 * 5 * G + + .quad 0x30c13093f05959b2 + .quad 0xe23aa18de9a97976 + .quad 0x222fd491721d5e26 + .quad 0x2339d320766e6c3a + .quad 0x7815c3fbc81379e7 + .quad 0xa6619420dde12af1 + .quad 0xffa9c0f885a8fdd5 + .quad 0x771b4022c1e1c252 + .quad 0xd87dd986513a2fa7 + .quad 0xf5ac9b71f9d4cf08 + .quad 0xd06bc31b1ea283b3 + .quad 0x331a189219971a76 + + // 2^24 * 6 * G + + .quad 0xf5166f45fb4f80c6 + .quad 0x9c36c7de61c775cf + .quad 0xe3d4e81b9041d91c + .quad 0x31167c6b83bdfe21 + .quad 0x26512f3a9d7572af + .quad 0x5bcbe28868074a9e + .quad 0x84edc1c11180f7c4 + .quad 0x1ac9619ff649a67b + .quad 0xf22b3842524b1068 + .quad 0x5068343bee9ce987 + .quad 0xfc9d71844a6250c8 + .quad 0x612436341f08b111 + + // 2^24 * 7 * G + + .quad 0xd99d41db874e898d + .quad 0x09fea5f16c07dc20 + .quad 0x793d2c67d00f9bbc + .quad 0x46ebe2309e5eff40 + .quad 0x8b6349e31a2d2638 + .quad 0x9ddfb7009bd3fd35 + .quad 0x7f8bf1b8a3a06ba4 + .quad 0x1522aa3178d90445 + .quad 0x2c382f5369614938 + .quad 0xdafe409ab72d6d10 + .quad 0xe8c83391b646f227 + .quad 0x45fe70f50524306c + + // 2^24 * 8 * G + + .quad 0xda4875a6960c0b8c + .quad 0x5b68d076ef0e2f20 + .quad 0x07fb51cf3d0b8fd4 + .quad 0x428d1623a0e392d4 + .quad 0x62f24920c8951491 + .quad 0x05f007c83f630ca2 + .quad 0x6fbb45d2f5c9d4b8 + .quad 0x16619f6db57a2245 + .quad 0x084f4a4401a308fd + .quad 0xa82219c376a5caac + .quad 0xdeb8de4643d1bc7d + .quad 0x1d81592d60bd38c6 + + // 2^28 * 1 * G + + .quad 0xd833d7beec2a4c38 + .quad 0x2c9162830acc20ed + .quad 0xe93a47aa92df7581 + .quad 0x702d67a3333c4a81 + .quad 0x3a4a369a2f89c8a1 + .quad 0x63137a1d7c8de80d + .quad 0xbcac008a78eda015 + .quad 0x2cb8b3a5b483b03f + .quad 0x36e417cbcb1b90a1 + .quad 0x33b3ddaa7f11794e + .quad 0x3f510808885bc607 + .quad 0x24141dc0e6a8020d + + // 2^28 * 2 * G + + .quad 0x59f73c773fefee9d + .quad 0xb3f1ef89c1cf989d + .quad 0xe35dfb42e02e545f + .quad 0x5766120b47a1b47c + .quad 0x91925dccbd83157d + .quad 0x3ca1205322cc8094 + .quad 0x28e57f183f90d6e4 + .quad 0x1a4714cede2e767b + .quad 0xdb20ba0fb8b6b7ff + .quad 0xb732c3b677511fa1 + .quad 0xa92b51c099f02d89 + .quad 0x4f3875ad489ca5f1 + + // 2^28 * 3 * G + + .quad 0xc7fc762f4932ab22 + .quad 0x7ac0edf72f4c3c1b + .quad 0x5f6b55aa9aa895e8 + .quad 0x3680274dad0a0081 + .quad 0x79ed13f6ee73eec0 + .quad 0xa5c6526d69110bb1 + .quad 0xe48928c38603860c + .quad 0x722a1446fd7059f5 + .quad 0xd0959fe9a8cf8819 + .quad 0xd0a995508475a99c + .quad 0x6eac173320b09cc5 + .quad 0x628ecf04331b1095 + + // 2^28 * 4 * G + + .quad 0x98bcb118a9d0ddbc + .quad 0xee449e3408b4802b + .quad 0x87089226b8a6b104 + .quad 0x685f349a45c7915d + .quad 0x9b41acf85c74ccf1 + .quad 0xb673318108265251 + .quad 0x99c92aed11adb147 + .quad 0x7a47d70d34ecb40f + .quad 0x60a0c4cbcc43a4f5 + .quad 0x775c66ca3677bea9 + .quad 0xa17aa1752ff8f5ed + .quad 0x11ded9020e01fdc0 + + // 2^28 * 5 * G + + .quad 0x890e7809caefe704 + .quad 0x8728296de30e8c6c + .quad 0x4c5cd2a392aeb1c9 + .quad 0x194263d15771531f + .quad 0x471f95b03bea93b7 + .quad 0x0552d7d43313abd3 + .quad 0xbd9370e2e17e3f7b + .quad 0x7b120f1db20e5bec + .quad 0x17d2fb3d86502d7a + .quad 0xb564d84450a69352 + .quad 0x7da962c8a60ed75d + .quad 0x00d0f85b318736aa + + // 2^28 * 6 * G + + .quad 0x978b142e777c84fd + .quad 0xf402644705a8c062 + .quad 0xa67ad51be7e612c7 + .quad 0x2f7b459698dd6a33 + .quad 0xa6753c1efd7621c1 + .quad 0x69c0b4a7445671f5 + .quad 0x971f527405b23c11 + .quad 0x387bc74851a8c7cd + .quad 0x81894b4d4a52a9a8 + .quad 0xadd93e12f6b8832f + .quad 0x184d8548b61bd638 + .quad 0x3f1c62dbd6c9f6cd + + // 2^28 * 7 * G + + .quad 0x2e8f1f0091910c1f + .quad 0xa4df4fe0bff2e12c + .quad 0x60c6560aee927438 + .quad 0x6338283facefc8fa + .quad 0x3fad3e40148f693d + .quad 0x052656e194eb9a72 + .quad 0x2f4dcbfd184f4e2f + .quad 0x406f8db1c482e18b + .quad 0x9e630d2c7f191ee4 + .quad 0x4fbf8301bc3ff670 + .quad 0x787d8e4e7afb73c4 + .quad 0x50d83d5be8f58fa5 + + // 2^28 * 8 * G + + .quad 0x85683916c11a1897 + .quad 0x2d69a4efe506d008 + .quad 0x39af1378f664bd01 + .quad 0x65942131361517c6 + .quad 0xc0accf90b4d3b66d + .quad 0xa7059de561732e60 + .quad 0x033d1f7870c6b0ba + .quad 0x584161cd26d946e4 + .quad 0xbbf2b1a072d27ca2 + .quad 0xbf393c59fbdec704 + .quad 0xe98dbbcee262b81e + .quad 0x02eebd0b3029b589 + + // 2^32 * 1 * G + + .quad 0x61368756a60dac5f + .quad 0x17e02f6aebabdc57 + .quad 0x7f193f2d4cce0f7d + .quad 0x20234a7789ecdcf0 + .quad 0x8765b69f7b85c5e8 + .quad 0x6ff0678bd168bab2 + .quad 0x3a70e77c1d330f9b + .quad 0x3a5f6d51b0af8e7c + .quad 0x76d20db67178b252 + .quad 0x071c34f9d51ed160 + .quad 0xf62a4a20b3e41170 + .quad 0x7cd682353cffe366 + + // 2^32 * 2 * G + + .quad 0x0be1a45bd887fab6 + .quad 0x2a846a32ba403b6e + .quad 0xd9921012e96e6000 + .quad 0x2838c8863bdc0943 + .quad 0xa665cd6068acf4f3 + .quad 0x42d92d183cd7e3d3 + .quad 0x5759389d336025d9 + .quad 0x3ef0253b2b2cd8ff + .quad 0xd16bb0cf4a465030 + .quad 0xfa496b4115c577ab + .quad 0x82cfae8af4ab419d + .quad 0x21dcb8a606a82812 + + // 2^32 * 3 * G + + .quad 0x5c6004468c9d9fc8 + .quad 0x2540096ed42aa3cb + .quad 0x125b4d4c12ee2f9c + .quad 0x0bc3d08194a31dab + .quad 0x9a8d00fabe7731ba + .quad 0x8203607e629e1889 + .quad 0xb2cc023743f3d97f + .quad 0x5d840dbf6c6f678b + .quad 0x706e380d309fe18b + .quad 0x6eb02da6b9e165c7 + .quad 0x57bbba997dae20ab + .quad 0x3a4276232ac196dd + + // 2^32 * 4 * G + + .quad 0x4b42432c8a7084fa + .quad 0x898a19e3dfb9e545 + .quad 0xbe9f00219c58e45d + .quad 0x1ff177cea16debd1 + .quad 0x3bf8c172db447ecb + .quad 0x5fcfc41fc6282dbd + .quad 0x80acffc075aa15fe + .quad 0x0770c9e824e1a9f9 + .quad 0xcf61d99a45b5b5fd + .quad 0x860984e91b3a7924 + .quad 0xe7300919303e3e89 + .quad 0x39f264fd41500b1e + + // 2^32 * 5 * G + + .quad 0xa7ad3417dbe7e29c + .quad 0xbd94376a2b9c139c + .quad 0xa0e91b8e93597ba9 + .quad 0x1712d73468889840 + .quad 0xd19b4aabfe097be1 + .quad 0xa46dfce1dfe01929 + .quad 0xc3c908942ca6f1ff + .quad 0x65c621272c35f14e + .quad 0xe72b89f8ce3193dd + .quad 0x4d103356a125c0bb + .quad 0x0419a93d2e1cfe83 + .quad 0x22f9800ab19ce272 + + // 2^32 * 6 * G + + .quad 0x605a368a3e9ef8cb + .quad 0xe3e9c022a5504715 + .quad 0x553d48b05f24248f + .quad 0x13f416cd647626e5 + .quad 0x42029fdd9a6efdac + .quad 0xb912cebe34a54941 + .quad 0x640f64b987bdf37b + .quad 0x4171a4d38598cab4 + .quad 0xfa2758aa99c94c8c + .quad 0x23006f6fb000b807 + .quad 0xfbd291ddadda5392 + .quad 0x508214fa574bd1ab + + // 2^32 * 7 * G + + .quad 0xc20269153ed6fe4b + .quad 0xa65a6739511d77c4 + .quad 0xcbde26462c14af94 + .quad 0x22f960ec6faba74b + .quad 0x461a15bb53d003d6 + .quad 0xb2102888bcf3c965 + .quad 0x27c576756c683a5a + .quad 0x3a7758a4c86cb447 + .quad 0x548111f693ae5076 + .quad 0x1dae21df1dfd54a6 + .quad 0x12248c90f3115e65 + .quad 0x5d9fd15f8de7f494 + + // 2^32 * 8 * G + + .quad 0x031408d36d63727f + .quad 0x6a379aefd7c7b533 + .quad 0xa9e18fc5ccaee24b + .quad 0x332f35914f8fbed3 + .quad 0x3f244d2aeed7521e + .quad 0x8e3a9028432e9615 + .quad 0xe164ba772e9c16d4 + .quad 0x3bc187fa47eb98d8 + .quad 0x6d470115ea86c20c + .quad 0x998ab7cb6c46d125 + .quad 0xd77832b53a660188 + .quad 0x450d81ce906fba03 + + // 2^36 * 1 * G + + .quad 0xf8ae4d2ad8453902 + .quad 0x7018058ee8db2d1d + .quad 0xaab3995fc7d2c11e + .quad 0x53b16d2324ccca79 + .quad 0x23264d66b2cae0b5 + .quad 0x7dbaed33ebca6576 + .quad 0x030ebed6f0d24ac8 + .quad 0x2a887f78f7635510 + .quad 0x2a23b9e75c012d4f + .quad 0x0c974651cae1f2ea + .quad 0x2fb63273675d70ca + .quad 0x0ba7250b864403f5 + + // 2^36 * 2 * G + + .quad 0xbb0d18fd029c6421 + .quad 0xbc2d142189298f02 + .quad 0x8347f8e68b250e96 + .quad 0x7b9f2fe8032d71c9 + .quad 0xdd63589386f86d9c + .quad 0x61699176e13a85a4 + .quad 0x2e5111954eaa7d57 + .quad 0x32c21b57fb60bdfb + .quad 0xd87823cd319e0780 + .quad 0xefc4cfc1897775c5 + .quad 0x4854fb129a0ab3f7 + .quad 0x12c49d417238c371 + + // 2^36 * 3 * G + + .quad 0x0950b533ffe83769 + .quad 0x21861c1d8e1d6bd1 + .quad 0xf022d8381302e510 + .quad 0x2509200c6391cab4 + .quad 0x09b3a01783799542 + .quad 0x626dd08faad5ee3f + .quad 0xba00bceeeb70149f + .quad 0x1421b246a0a444c9 + .quad 0x4aa43a8e8c24a7c7 + .quad 0x04c1f540d8f05ef5 + .quad 0xadba5e0c0b3eb9dc + .quad 0x2ab5504448a49ce3 + + // 2^36 * 4 * G + + .quad 0x2ed227266f0f5dec + .quad 0x9824ee415ed50824 + .quad 0x807bec7c9468d415 + .quad 0x7093bae1b521e23f + .quad 0xdc07ac631c5d3afa + .quad 0x58615171f9df8c6c + .quad 0x72a079d89d73e2b0 + .quad 0x7301f4ceb4eae15d + .quad 0x6409e759d6722c41 + .quad 0xa674e1cf72bf729b + .quad 0xbc0a24eb3c21e569 + .quad 0x390167d24ebacb23 + + // 2^36 * 5 * G + + .quad 0x27f58e3bba353f1c + .quad 0x4c47764dbf6a4361 + .quad 0xafbbc4e56e562650 + .quad 0x07db2ee6aae1a45d + .quad 0xd7bb054ba2f2120b + .quad 0xe2b9ceaeb10589b7 + .quad 0x3fe8bac8f3c0edbe + .quad 0x4cbd40767112cb69 + .quad 0x0b603cc029c58176 + .quad 0x5988e3825cb15d61 + .quad 0x2bb61413dcf0ad8d + .quad 0x7b8eec6c74183287 + + // 2^36 * 6 * G + + .quad 0xe4ca40782cd27cb0 + .quad 0xdaf9c323fbe967bd + .quad 0xb29bd34a8ad41e9e + .quad 0x72810497626ede4d + .quad 0x32fee570fc386b73 + .quad 0xda8b0141da3a8cc7 + .quad 0x975ffd0ac8968359 + .quad 0x6ee809a1b132a855 + .quad 0x9444bb31fcfd863a + .quad 0x2fe3690a3e4e48c5 + .quad 0xdc29c867d088fa25 + .quad 0x13bd1e38d173292e + + // 2^36 * 7 * G + + .quad 0xd32b4cd8696149b5 + .quad 0xe55937d781d8aab7 + .quad 0x0bcb2127ae122b94 + .quad 0x41e86fcfb14099b0 + .quad 0x223fb5cf1dfac521 + .quad 0x325c25316f554450 + .quad 0x030b98d7659177ac + .quad 0x1ed018b64f88a4bd + .quad 0x3630dfa1b802a6b0 + .quad 0x880f874742ad3bd5 + .quad 0x0af90d6ceec5a4d4 + .quad 0x746a247a37cdc5d9 + + // 2^36 * 8 * G + + .quad 0xd531b8bd2b7b9af6 + .quad 0x5005093537fc5b51 + .quad 0x232fcf25c593546d + .quad 0x20a365142bb40f49 + .quad 0x6eccd85278d941ed + .quad 0x2254ae83d22f7843 + .quad 0xc522d02e7bbfcdb7 + .quad 0x681e3351bff0e4e2 + .quad 0x8b64b59d83034f45 + .quad 0x2f8b71f21fa20efb + .quad 0x69249495ba6550e4 + .quad 0x539ef98e45d5472b + + // 2^40 * 1 * G + + .quad 0x6e7bb6a1a6205275 + .quad 0xaa4f21d7413c8e83 + .quad 0x6f56d155e88f5cb2 + .quad 0x2de25d4ba6345be1 + .quad 0xd074d8961cae743f + .quad 0xf86d18f5ee1c63ed + .quad 0x97bdc55be7f4ed29 + .quad 0x4cbad279663ab108 + .quad 0x80d19024a0d71fcd + .quad 0xc525c20afb288af8 + .quad 0xb1a3974b5f3a6419 + .quad 0x7d7fbcefe2007233 + + // 2^40 * 2 * G + + .quad 0xfaef1e6a266b2801 + .quad 0x866c68c4d5739f16 + .quad 0xf68a2fbc1b03762c + .quad 0x5975435e87b75a8d + .quad 0xcd7c5dc5f3c29094 + .quad 0xc781a29a2a9105ab + .quad 0x80c61d36421c3058 + .quad 0x4f9cd196dcd8d4d7 + .quad 0x199297d86a7b3768 + .quad 0xd0d058241ad17a63 + .quad 0xba029cad5c1c0c17 + .quad 0x7ccdd084387a0307 + + // 2^40 * 3 * G + + .quad 0xdca6422c6d260417 + .quad 0xae153d50948240bd + .quad 0xa9c0c1b4fb68c677 + .quad 0x428bd0ed61d0cf53 + .quad 0x9b0c84186760cc93 + .quad 0xcdae007a1ab32a99 + .quad 0xa88dec86620bda18 + .quad 0x3593ca848190ca44 + .quad 0x9213189a5e849aa7 + .quad 0xd4d8c33565d8facd + .quad 0x8c52545b53fdbbd1 + .quad 0x27398308da2d63e6 + + // 2^40 * 4 * G + + .quad 0x42c38d28435ed413 + .quad 0xbd50f3603278ccc9 + .quad 0xbb07ab1a79da03ef + .quad 0x269597aebe8c3355 + .quad 0xb9a10e4c0a702453 + .quad 0x0fa25866d57d1bde + .quad 0xffb9d9b5cd27daf7 + .quad 0x572c2945492c33fd + .quad 0xc77fc745d6cd30be + .quad 0xe4dfe8d3e3baaefb + .quad 0xa22c8830aa5dda0c + .quad 0x7f985498c05bca80 + + // 2^40 * 5 * G + + .quad 0x3849ce889f0be117 + .quad 0x8005ad1b7b54a288 + .quad 0x3da3c39f23fc921c + .quad 0x76c2ec470a31f304 + .quad 0xd35615520fbf6363 + .quad 0x08045a45cf4dfba6 + .quad 0xeec24fbc873fa0c2 + .quad 0x30f2653cd69b12e7 + .quad 0x8a08c938aac10c85 + .quad 0x46179b60db276bcb + .quad 0xa920c01e0e6fac70 + .quad 0x2f1273f1596473da + + // 2^40 * 6 * G + + .quad 0x4739fc7c8ae01e11 + .quad 0xfd5274904a6aab9f + .quad 0x41d98a8287728f2e + .quad 0x5d9e572ad85b69f2 + .quad 0x30488bd755a70bc0 + .quad 0x06d6b5a4f1d442e7 + .quad 0xead1a69ebc596162 + .quad 0x38ac1997edc5f784 + .quad 0x0666b517a751b13b + .quad 0x747d06867e9b858c + .quad 0xacacc011454dde49 + .quad 0x22dfcd9cbfe9e69c + + // 2^40 * 7 * G + + .quad 0x8ddbd2e0c30d0cd9 + .quad 0xad8e665facbb4333 + .quad 0x8f6b258c322a961f + .quad 0x6b2916c05448c1c7 + .quad 0x56ec59b4103be0a1 + .quad 0x2ee3baecd259f969 + .quad 0x797cb29413f5cd32 + .quad 0x0fe9877824cde472 + .quad 0x7edb34d10aba913b + .quad 0x4ea3cd822e6dac0e + .quad 0x66083dff6578f815 + .quad 0x4c303f307ff00a17 + + // 2^40 * 8 * G + + .quad 0xd30a3bd617b28c85 + .quad 0xc5d377b739773bea + .quad 0xc6c6e78c1e6a5cbf + .quad 0x0d61b8f78b2ab7c4 + .quad 0x29fc03580dd94500 + .quad 0xecd27aa46fbbec93 + .quad 0x130a155fc2e2a7f8 + .quad 0x416b151ab706a1d5 + .quad 0x56a8d7efe9c136b0 + .quad 0xbd07e5cd58e44b20 + .quad 0xafe62fda1b57e0ab + .quad 0x191a2af74277e8d2 + + // 2^44 * 1 * G + + .quad 0xd550095bab6f4985 + .quad 0x04f4cd5b4fbfaf1a + .quad 0x9d8e2ed12a0c7540 + .quad 0x2bc24e04b2212286 + .quad 0x09d4b60b2fe09a14 + .quad 0xc384f0afdbb1747e + .quad 0x58e2ea8978b5fd6e + .quad 0x519ef577b5e09b0a + .quad 0x1863d7d91124cca9 + .quad 0x7ac08145b88a708e + .quad 0x2bcd7309857031f5 + .quad 0x62337a6e8ab8fae5 + + // 2^44 * 2 * G + + .quad 0x4bcef17f06ffca16 + .quad 0xde06e1db692ae16a + .quad 0x0753702d614f42b0 + .quad 0x5f6041b45b9212d0 + .quad 0xd1ab324e1b3a1273 + .quad 0x18947cf181055340 + .quad 0x3b5d9567a98c196e + .quad 0x7fa00425802e1e68 + .quad 0x7d531574028c2705 + .quad 0x80317d69db0d75fe + .quad 0x30fface8ef8c8ddd + .quad 0x7e9de97bb6c3e998 + + // 2^44 * 3 * G + + .quad 0x1558967b9e6585a3 + .quad 0x97c99ce098e98b92 + .quad 0x10af149b6eb3adad + .quad 0x42181fe8f4d38cfa + .quad 0xf004be62a24d40dd + .quad 0xba0659910452d41f + .quad 0x81c45ee162a44234 + .quad 0x4cb829d8a22266ef + .quad 0x1dbcaa8407b86681 + .quad 0x081f001e8b26753b + .quad 0x3cd7ce6a84048e81 + .quad 0x78af11633f25f22c + + // 2^44 * 4 * G + + .quad 0x8416ebd40b50babc + .quad 0x1508722628208bee + .quad 0xa3148fafb9c1c36d + .quad 0x0d07daacd32d7d5d + .quad 0x3241c00e7d65318c + .quad 0xe6bee5dcd0e86de7 + .quad 0x118b2dc2fbc08c26 + .quad 0x680d04a7fc603dc3 + .quad 0xf9c2414a695aa3eb + .quad 0xdaa42c4c05a68f21 + .quad 0x7c6c23987f93963e + .quad 0x210e8cd30c3954e3 + + // 2^44 * 5 * G + + .quad 0xac4201f210a71c06 + .quad 0x6a65e0aef3bfb021 + .quad 0xbc42c35c393632f7 + .quad 0x56ea8db1865f0742 + .quad 0x2b50f16137fe6c26 + .quad 0xe102bcd856e404d8 + .quad 0x12b0f1414c561f6b + .quad 0x51b17bc8d028ec91 + .quad 0xfff5fb4bcf535119 + .quad 0xf4989d79df1108a0 + .quad 0xbdfcea659a3ba325 + .quad 0x18a11f1174d1a6f2 + + // 2^44 * 6 * G + + .quad 0x407375ab3f6bba29 + .quad 0x9ec3b6d8991e482e + .quad 0x99c80e82e55f92e9 + .quad 0x307c13b6fb0c0ae1 + .quad 0xfbd63cdad27a5f2c + .quad 0xf00fc4bc8aa106d7 + .quad 0x53fb5c1a8e64a430 + .quad 0x04eaabe50c1a2e85 + .quad 0x24751021cb8ab5e7 + .quad 0xfc2344495c5010eb + .quad 0x5f1e717b4e5610a1 + .quad 0x44da5f18c2710cd5 + + // 2^44 * 7 * G + + .quad 0x033cc55ff1b82eb5 + .quad 0xb15ae36d411cae52 + .quad 0xba40b6198ffbacd3 + .quad 0x768edce1532e861f + .quad 0x9156fe6b89d8eacc + .quad 0xe6b79451e23126a1 + .quad 0xbd7463d93944eb4e + .quad 0x726373f6767203ae + .quad 0xe305ca72eb7ef68a + .quad 0x662cf31f70eadb23 + .quad 0x18f026fdb4c45b68 + .quad 0x513b5384b5d2ecbd + + // 2^44 * 8 * G + + .quad 0x46d46280c729989e + .quad 0x4b93fbd05368a5dd + .quad 0x63df3f81d1765a89 + .quad 0x34cebd64b9a0a223 + .quad 0x5e2702878af34ceb + .quad 0x900b0409b946d6ae + .quad 0x6512ebf7dabd8512 + .quad 0x61d9b76988258f81 + .quad 0xa6c5a71349b7d94b + .quad 0xa3f3d15823eb9446 + .quad 0x0416fbd277484834 + .quad 0x69d45e6f2c70812f + + // 2^48 * 1 * G + + .quad 0xce16f74bc53c1431 + .quad 0x2b9725ce2072edde + .quad 0xb8b9c36fb5b23ee7 + .quad 0x7e2e0e450b5cc908 + .quad 0x9fe62b434f460efb + .quad 0xded303d4a63607d6 + .quad 0xf052210eb7a0da24 + .quad 0x237e7dbe00545b93 + .quad 0x013575ed6701b430 + .quad 0x231094e69f0bfd10 + .quad 0x75320f1583e47f22 + .quad 0x71afa699b11155e3 + + // 2^48 * 2 * G + + .quad 0x65ce6f9b3953b61d + .quad 0xc65839eaafa141e6 + .quad 0x0f435ffda9f759fe + .quad 0x021142e9c2b1c28e + .quad 0xea423c1c473b50d6 + .quad 0x51e87a1f3b38ef10 + .quad 0x9b84bf5fb2c9be95 + .quad 0x00731fbc78f89a1c + .quad 0xe430c71848f81880 + .quad 0xbf960c225ecec119 + .quad 0xb6dae0836bba15e3 + .quad 0x4c4d6f3347e15808 + + // 2^48 * 3 * G + + .quad 0x18f7eccfc17d1fc9 + .quad 0x6c75f5a651403c14 + .quad 0xdbde712bf7ee0cdf + .quad 0x193fddaaa7e47a22 + .quad 0x2f0cddfc988f1970 + .quad 0x6b916227b0b9f51b + .quad 0x6ec7b6c4779176be + .quad 0x38bf9500a88f9fa8 + .quad 0x1fd2c93c37e8876f + .quad 0xa2f61e5a18d1462c + .quad 0x5080f58239241276 + .quad 0x6a6fb99ebf0d4969 + + // 2^48 * 4 * G + + .quad 0x6a46c1bb560855eb + .quad 0x2416bb38f893f09d + .quad 0xd71d11378f71acc1 + .quad 0x75f76914a31896ea + .quad 0xeeb122b5b6e423c6 + .quad 0x939d7010f286ff8e + .quad 0x90a92a831dcf5d8c + .quad 0x136fda9f42c5eb10 + .quad 0xf94cdfb1a305bdd1 + .quad 0x0f364b9d9ff82c08 + .quad 0x2a87d8a5c3bb588a + .quad 0x022183510be8dcba + + // 2^48 * 5 * G + + .quad 0x4af766385ead2d14 + .quad 0xa08ed880ca7c5830 + .quad 0x0d13a6e610211e3d + .quad 0x6a071ce17b806c03 + .quad 0x9d5a710143307a7f + .quad 0xb063de9ec47da45f + .quad 0x22bbfe52be927ad3 + .quad 0x1387c441fd40426c + .quad 0xb5d3c3d187978af8 + .quad 0x722b5a3d7f0e4413 + .quad 0x0d7b4848bb477ca0 + .quad 0x3171b26aaf1edc92 + + // 2^48 * 6 * G + + .quad 0xa92f319097564ca8 + .quad 0xff7bb84c2275e119 + .quad 0x4f55fe37a4875150 + .quad 0x221fd4873cf0835a + .quad 0xa60db7d8b28a47d1 + .quad 0xa6bf14d61770a4f1 + .quad 0xd4a1f89353ddbd58 + .quad 0x6c514a63344243e9 + .quad 0x2322204f3a156341 + .quad 0xfb73e0e9ba0a032d + .quad 0xfce0dd4c410f030e + .quad 0x48daa596fb924aaa + + // 2^48 * 7 * G + + .quad 0x6eca8e665ca59cc7 + .quad 0xa847254b2e38aca0 + .quad 0x31afc708d21e17ce + .quad 0x676dd6fccad84af7 + .quad 0x14f61d5dc84c9793 + .quad 0x9941f9e3ef418206 + .quad 0xcdf5b88f346277ac + .quad 0x58c837fa0e8a79a9 + .quad 0x0cf9688596fc9058 + .quad 0x1ddcbbf37b56a01b + .quad 0xdcc2e77d4935d66a + .quad 0x1c4f73f2c6a57f0a + + // 2^48 * 8 * G + + .quad 0x0e7a4fbd305fa0bb + .quad 0x829d4ce054c663ad + .quad 0xf421c3832fe33848 + .quad 0x795ac80d1bf64c42 + .quad 0xb36e706efc7c3484 + .quad 0x73dfc9b4c3c1cf61 + .quad 0xeb1d79c9781cc7e5 + .quad 0x70459adb7daf675c + .quad 0x1b91db4991b42bb3 + .quad 0x572696234b02dcca + .quad 0x9fdf9ee51f8c78dc + .quad 0x5fe162848ce21fd3 + + // 2^52 * 1 * G + + .quad 0xe2790aae4d077c41 + .quad 0x8b938270db7469a3 + .quad 0x6eb632dc8abd16a2 + .quad 0x720814ecaa064b72 + .quad 0x315c29c795115389 + .quad 0xd7e0e507862f74ce + .quad 0x0c4a762185927432 + .quad 0x72de6c984a25a1e4 + .quad 0xae9ab553bf6aa310 + .quad 0x050a50a9806d6e1b + .quad 0x92bb7403adff5139 + .quad 0x0394d27645be618b + + // 2^52 * 2 * G + + .quad 0x4d572251857eedf4 + .quad 0xe3724edde19e93c5 + .quad 0x8a71420e0b797035 + .quad 0x3b3c833687abe743 + .quad 0xf5396425b23545a4 + .quad 0x15a7a27e98fbb296 + .quad 0xab6c52bc636fdd86 + .quad 0x79d995a8419334ee + .quad 0xcd8a8ea61195dd75 + .quad 0xa504d8a81dd9a82f + .quad 0x540dca81a35879b6 + .quad 0x60dd16a379c86a8a + + // 2^52 * 3 * G + + .quad 0x35a2c8487381e559 + .quad 0x596ffea6d78082cb + .quad 0xcb9771ebdba7b653 + .quad 0x5a08b5019b4da685 + .quad 0x3501d6f8153e47b8 + .quad 0xb7a9675414a2f60c + .quad 0x112ee8b6455d9523 + .quad 0x4e62a3c18112ea8a + .quad 0xc8d4ac04516ab786 + .quad 0x595af3215295b23d + .quad 0xd6edd234db0230c1 + .quad 0x0929efe8825b41cc + + // 2^52 * 4 * G + + .quad 0x5f0601d1cbd0f2d3 + .quad 0x736e412f6132bb7f + .quad 0x83604432238dde87 + .quad 0x1e3a5272f5c0753c + .quad 0x8b3172b7ad56651d + .quad 0x01581b7a3fabd717 + .quad 0x2dc94df6424df6e4 + .quad 0x30376e5d2c29284f + .quad 0xd2918da78159a59c + .quad 0x6bdc1cd93f0713f3 + .quad 0x565f7a934acd6590 + .quad 0x53daacec4cb4c128 + + // 2^52 * 5 * G + + .quad 0x4ca73bd79cc8a7d6 + .quad 0x4d4a738f47e9a9b2 + .quad 0xf4cbf12942f5fe00 + .quad 0x01a13ff9bdbf0752 + .quad 0x99852bc3852cfdb0 + .quad 0x2cc12e9559d6ed0b + .quad 0x70f9e2bf9b5ac27b + .quad 0x4f3b8c117959ae99 + .quad 0x55b6c9c82ff26412 + .quad 0x1ac4a8c91fb667a8 + .quad 0xd527bfcfeb778bf2 + .quad 0x303337da7012a3be + + // 2^52 * 6 * G + + .quad 0x955422228c1c9d7c + .quad 0x01fac1371a9b340f + .quad 0x7e8d9177925b48d7 + .quad 0x53f8ad5661b3e31b + .quad 0x976d3ccbfad2fdd1 + .quad 0xcb88839737a640a8 + .quad 0x2ff00c1d6734cb25 + .quad 0x269ff4dc789c2d2b + .quad 0x0c003fbdc08d678d + .quad 0x4d982fa37ead2b17 + .quad 0xc07e6bcdb2e582f1 + .quad 0x296c7291df412a44 + + // 2^52 * 7 * G + + .quad 0x7903de2b33daf397 + .quad 0xd0ff0619c9a624b3 + .quad 0x8a1d252b555b3e18 + .quad 0x2b6d581c52e0b7c0 + .quad 0xdfb23205dab8b59e + .quad 0x465aeaa0c8092250 + .quad 0xd133c1189a725d18 + .quad 0x2327370261f117d1 + .quad 0x3d0543d3623e7986 + .quad 0x679414c2c278a354 + .quad 0xae43f0cc726196f6 + .quad 0x7836c41f8245eaba + + // 2^52 * 8 * G + + .quad 0xe7a254db49e95a81 + .quad 0x5192d5d008b0ad73 + .quad 0x4d20e5b1d00afc07 + .quad 0x5d55f8012cf25f38 + .quad 0xca651e848011937c + .quad 0xc6b0c46e6ef41a28 + .quad 0xb7021ba75f3f8d52 + .quad 0x119dff99ead7b9fd + .quad 0x43eadfcbf4b31d4d + .quad 0xc6503f7411148892 + .quad 0xfeee68c5060d3b17 + .quad 0x329293b3dd4a0ac8 + + // 2^56 * 1 * G + + .quad 0x4e59214fe194961a + .quad 0x49be7dc70d71cd4f + .quad 0x9300cfd23b50f22d + .quad 0x4789d446fc917232 + .quad 0x2879852d5d7cb208 + .quad 0xb8dedd70687df2e7 + .quad 0xdc0bffab21687891 + .quad 0x2b44c043677daa35 + .quad 0x1a1c87ab074eb78e + .quad 0xfac6d18e99daf467 + .quad 0x3eacbbcd484f9067 + .quad 0x60c52eef2bb9a4e4 + + // 2^56 * 2 * G + + .quad 0x0b5d89bc3bfd8bf1 + .quad 0xb06b9237c9f3551a + .quad 0x0e4c16b0d53028f5 + .quad 0x10bc9c312ccfcaab + .quad 0x702bc5c27cae6d11 + .quad 0x44c7699b54a48cab + .quad 0xefbc4056ba492eb2 + .quad 0x70d77248d9b6676d + .quad 0xaa8ae84b3ec2a05b + .quad 0x98699ef4ed1781e0 + .quad 0x794513e4708e85d1 + .quad 0x63755bd3a976f413 + + // 2^56 * 3 * G + + .quad 0xb55fa03e2ad10853 + .quad 0x356f75909ee63569 + .quad 0x9ff9f1fdbe69b890 + .quad 0x0d8cc1c48bc16f84 + .quad 0x3dc7101897f1acb7 + .quad 0x5dda7d5ec165bbd8 + .quad 0x508e5b9c0fa1020f + .quad 0x2763751737c52a56 + .quad 0x029402d36eb419a9 + .quad 0xf0b44e7e77b460a5 + .quad 0xcfa86230d43c4956 + .quad 0x70c2dd8a7ad166e7 + + // 2^56 * 4 * G + + .quad 0x656194509f6fec0e + .quad 0xee2e7ea946c6518d + .quad 0x9733c1f367e09b5c + .quad 0x2e0fac6363948495 + .quad 0x91d4967db8ed7e13 + .quad 0x74252f0ad776817a + .quad 0xe40982e00d852564 + .quad 0x32b8613816a53ce5 + .quad 0x79e7f7bee448cd64 + .quad 0x6ac83a67087886d0 + .quad 0xf89fd4d9a0e4db2e + .quad 0x4179215c735a4f41 + + // 2^56 * 5 * G + + .quad 0x8c7094e7d7dced2a + .quad 0x97fb8ac347d39c70 + .quad 0xe13be033a906d902 + .quad 0x700344a30cd99d76 + .quad 0xe4ae33b9286bcd34 + .quad 0xb7ef7eb6559dd6dc + .quad 0x278b141fb3d38e1f + .quad 0x31fa85662241c286 + .quad 0xaf826c422e3622f4 + .quad 0xc12029879833502d + .quad 0x9bc1b7e12b389123 + .quad 0x24bb2312a9952489 + + // 2^56 * 6 * G + + .quad 0xb1a8ed1732de67c3 + .quad 0x3cb49418461b4948 + .quad 0x8ebd434376cfbcd2 + .quad 0x0fee3e871e188008 + .quad 0x41f80c2af5f85c6b + .quad 0x687284c304fa6794 + .quad 0x8945df99a3ba1bad + .quad 0x0d1d2af9ffeb5d16 + .quad 0xa9da8aa132621edf + .quad 0x30b822a159226579 + .quad 0x4004197ba79ac193 + .quad 0x16acd79718531d76 + + // 2^56 * 7 * G + + .quad 0x72df72af2d9b1d3d + .quad 0x63462a36a432245a + .quad 0x3ecea07916b39637 + .quad 0x123e0ef6b9302309 + .quad 0xc959c6c57887b6ad + .quad 0x94e19ead5f90feba + .quad 0x16e24e62a342f504 + .quad 0x164ed34b18161700 + .quad 0x487ed94c192fe69a + .quad 0x61ae2cea3a911513 + .quad 0x877bf6d3b9a4de27 + .quad 0x78da0fc61073f3eb + + // 2^56 * 8 * G + + .quad 0x5bf15d28e52bc66a + .quad 0x2c47e31870f01a8e + .quad 0x2419afbc06c28bdd + .quad 0x2d25deeb256b173a + .quad 0xa29f80f1680c3a94 + .quad 0x71f77e151ae9e7e6 + .quad 0x1100f15848017973 + .quad 0x054aa4b316b38ddd + .quad 0xdfc8468d19267cb8 + .quad 0x0b28789c66e54daf + .quad 0x2aeb1d2a666eec17 + .quad 0x134610a6ab7da760 + + // 2^60 * 1 * G + + .quad 0xcaf55ec27c59b23f + .quad 0x99aeed3e154d04f2 + .quad 0x68441d72e14141f4 + .quad 0x140345133932a0a2 + .quad 0xd91430e0dc028c3c + .quad 0x0eb955a85217c771 + .quad 0x4b09e1ed2c99a1fa + .quad 0x42881af2bd6a743c + .quad 0x7bfec69aab5cad3d + .quad 0xc23e8cd34cb2cfad + .quad 0x685dd14bfb37d6a2 + .quad 0x0ad6d64415677a18 + + // 2^60 * 2 * G + + .quad 0x781a439e417becb5 + .quad 0x4ac5938cd10e0266 + .quad 0x5da385110692ac24 + .quad 0x11b065a2ade31233 + .quad 0x7914892847927e9f + .quad 0x33dad6ef370aa877 + .quad 0x1f8f24fa11122703 + .quad 0x5265ac2f2adf9592 + .quad 0x405fdd309afcb346 + .quad 0xd9723d4428e63f54 + .quad 0x94c01df05f65aaae + .quad 0x43e4dc3ae14c0809 + + // 2^60 * 3 * G + + .quad 0xbc12c7f1a938a517 + .quad 0x473028ab3180b2e1 + .quad 0x3f78571efbcd254a + .quad 0x74e534426ff6f90f + .quad 0xea6f7ac3adc2c6a3 + .quad 0xd0e928f6e9717c94 + .quad 0xe2d379ead645eaf5 + .quad 0x46dd8785c51ffbbe + .quad 0x709801be375c8898 + .quad 0x4b06dab5e3fd8348 + .quad 0x75880ced27230714 + .quad 0x2b09468fdd2f4c42 + + // 2^60 * 4 * G + + .quad 0x97c749eeb701cb96 + .quad 0x83f438d4b6a369c3 + .quad 0x62962b8b9a402cd9 + .quad 0x6976c7509888df7b + .quad 0x5b97946582ffa02a + .quad 0xda096a51fea8f549 + .quad 0xa06351375f77af9b + .quad 0x1bcfde61201d1e76 + .quad 0x4a4a5490246a59a2 + .quad 0xd63ebddee87fdd90 + .quad 0xd9437c670d2371fa + .quad 0x69e87308d30f8ed6 + + // 2^60 * 5 * G + + .quad 0x435a8bb15656beb0 + .quad 0xf8fac9ba4f4d5bca + .quad 0xb9b278c41548c075 + .quad 0x3eb0ef76e892b622 + .quad 0x0f80bf028bc80303 + .quad 0x6aae16b37a18cefb + .quad 0xdd47ea47d72cd6a3 + .quad 0x61943588f4ed39aa + .quad 0xd26e5c3e91039f85 + .quad 0xc0e9e77df6f33aa9 + .quad 0xe8968c5570066a93 + .quad 0x3c34d1881faaaddd + + // 2^60 * 6 * G + + .quad 0x3f9d2b5ea09f9ec0 + .quad 0x1dab3b6fb623a890 + .quad 0xa09ba3ea72d926c4 + .quad 0x374193513fd8b36d + .quad 0xbd5b0b8f2fffe0d9 + .quad 0x6aa254103ed24fb9 + .quad 0x2ac7d7bcb26821c4 + .quad 0x605b394b60dca36a + .quad 0xb4e856e45a9d1ed2 + .quad 0xefe848766c97a9a2 + .quad 0xb104cf641e5eee7d + .quad 0x2f50b81c88a71c8f + + // 2^60 * 7 * G + + .quad 0x31723c61fc6811bb + .quad 0x9cb450486211800f + .quad 0x768933d347995753 + .quad 0x3491a53502752fcd + .quad 0x2b552ca0a7da522a + .quad 0x3230b336449b0250 + .quad 0xf2c4c5bca4b99fb9 + .quad 0x7b2c674958074a22 + .quad 0xd55165883ed28cdf + .quad 0x12d84fd2d362de39 + .quad 0x0a874ad3e3378e4f + .quad 0x000d2b1f7c763e74 + + // 2^60 * 8 * G + + .quad 0x3d420811d06d4a67 + .quad 0xbefc048590e0ffe3 + .quad 0xf870c6b7bd487bde + .quad 0x6e2a7316319afa28 + .quad 0x9624778c3e94a8ab + .quad 0x0ad6f3cee9a78bec + .quad 0x948ac7810d743c4f + .quad 0x76627935aaecfccc + .quad 0x56a8ac24d6d59a9f + .quad 0xc8db753e3096f006 + .quad 0x477f41e68f4c5299 + .quad 0x588d851cf6c86114 + + // 2^64 * 1 * G + + .quad 0x51138ec78df6b0fe + .quad 0x5397da89e575f51b + .quad 0x09207a1d717af1b9 + .quad 0x2102fdba2b20d650 + .quad 0xcd2a65e777d1f515 + .quad 0x548991878faa60f1 + .quad 0xb1b73bbcdabc06e5 + .quad 0x654878cba97cc9fb + .quad 0x969ee405055ce6a1 + .quad 0x36bca7681251ad29 + .quad 0x3a1af517aa7da415 + .quad 0x0ad725db29ecb2ba + + // 2^64 * 2 * G + + .quad 0xdc4267b1834e2457 + .quad 0xb67544b570ce1bc5 + .quad 0x1af07a0bf7d15ed7 + .quad 0x4aefcffb71a03650 + .quad 0xfec7bc0c9b056f85 + .quad 0x537d5268e7f5ffd7 + .quad 0x77afc6624312aefa + .quad 0x4f675f5302399fd9 + .quad 0xc32d36360415171e + .quad 0xcd2bef118998483b + .quad 0x870a6eadd0945110 + .quad 0x0bccbb72a2a86561 + + // 2^64 * 3 * G + + .quad 0x185e962feab1a9c8 + .quad 0x86e7e63565147dcd + .quad 0xb092e031bb5b6df2 + .quad 0x4024f0ab59d6b73e + .quad 0x186d5e4c50fe1296 + .quad 0xe0397b82fee89f7e + .quad 0x3bc7f6c5507031b0 + .quad 0x6678fd69108f37c2 + .quad 0x1586fa31636863c2 + .quad 0x07f68c48572d33f2 + .quad 0x4f73cc9f789eaefc + .quad 0x2d42e2108ead4701 + + // 2^64 * 4 * G + + .quad 0x97f5131594dfd29b + .quad 0x6155985d313f4c6a + .quad 0xeba13f0708455010 + .quad 0x676b2608b8d2d322 + .quad 0x21717b0d0f537593 + .quad 0x914e690b131e064c + .quad 0x1bb687ae752ae09f + .quad 0x420bf3a79b423c6e + .quad 0x8138ba651c5b2b47 + .quad 0x8671b6ec311b1b80 + .quad 0x7bff0cb1bc3135b0 + .quad 0x745d2ffa9c0cf1e0 + + // 2^64 * 5 * G + + .quad 0xbf525a1e2bc9c8bd + .quad 0xea5b260826479d81 + .quad 0xd511c70edf0155db + .quad 0x1ae23ceb960cf5d0 + .quad 0x6036df5721d34e6a + .quad 0xb1db8827997bb3d0 + .quad 0xd3c209c3c8756afa + .quad 0x06e15be54c1dc839 + .quad 0x5b725d871932994a + .quad 0x32351cb5ceb1dab0 + .quad 0x7dc41549dab7ca05 + .quad 0x58ded861278ec1f7 + + // 2^64 * 6 * G + + .quad 0xd8173793f266c55c + .quad 0xc8c976c5cc454e49 + .quad 0x5ce382f8bc26c3a8 + .quad 0x2ff39de85485f6f9 + .quad 0x2dfb5ba8b6c2c9a8 + .quad 0x48eeef8ef52c598c + .quad 0x33809107f12d1573 + .quad 0x08ba696b531d5bd8 + .quad 0x77ed3eeec3efc57a + .quad 0x04e05517d4ff4811 + .quad 0xea3d7a3ff1a671cb + .quad 0x120633b4947cfe54 + + // 2^64 * 7 * G + + .quad 0x0b94987891610042 + .quad 0x4ee7b13cecebfae8 + .quad 0x70be739594f0a4c0 + .quad 0x35d30a99b4d59185 + .quad 0x82bd31474912100a + .quad 0xde237b6d7e6fbe06 + .quad 0xe11e761911ea79c6 + .quad 0x07433be3cb393bde + .quad 0xff7944c05ce997f4 + .quad 0x575d3de4b05c51a3 + .quad 0x583381fd5a76847c + .quad 0x2d873ede7af6da9f + + // 2^64 * 8 * G + + .quad 0x157a316443373409 + .quad 0xfab8b7eef4aa81d9 + .quad 0xb093fee6f5a64806 + .quad 0x2e773654707fa7b6 + .quad 0xaa6202e14e5df981 + .quad 0xa20d59175015e1f5 + .quad 0x18a275d3bae21d6c + .quad 0x0543618a01600253 + .quad 0x0deabdf4974c23c1 + .quad 0xaa6f0a259dce4693 + .quad 0x04202cb8a29aba2c + .quad 0x4b1443362d07960d + + // 2^68 * 1 * G + + .quad 0x47b837f753242cec + .quad 0x256dc48cc04212f2 + .quad 0xe222fbfbe1d928c5 + .quad 0x48ea295bad8a2c07 + .quad 0x299b1c3f57c5715e + .quad 0x96cb929e6b686d90 + .quad 0x3004806447235ab3 + .quad 0x2c435c24a44d9fe1 + .quad 0x0607c97c80f8833f + .quad 0x0e851578ca25ec5b + .quad 0x54f7450b161ebb6f + .quad 0x7bcb4792a0def80e + + // 2^68 * 2 * G + + .quad 0x8487e3d02bc73659 + .quad 0x4baf8445059979df + .quad 0xd17c975adcad6fbf + .quad 0x57369f0bdefc96b6 + .quad 0x1cecd0a0045224c2 + .quad 0x757f1b1b69e53952 + .quad 0x775b7a925289f681 + .quad 0x1b6cc62016736148 + .quad 0xf1a9990175638698 + .quad 0x353dd1beeeaa60d3 + .quad 0x849471334c9ba488 + .quad 0x63fa6e6843ade311 + + // 2^68 * 3 * G + + .quad 0xd15c20536597c168 + .quad 0x9f73740098d28789 + .quad 0x18aee7f13257ba1f + .quad 0x3418bfda07346f14 + .quad 0x2195becdd24b5eb7 + .quad 0x5e41f18cc0cd44f9 + .quad 0xdf28074441ca9ede + .quad 0x07073b98f35b7d67 + .quad 0xd03c676c4ce530d4 + .quad 0x0b64c0473b5df9f4 + .quad 0x065cef8b19b3a31e + .quad 0x3084d661533102c9 + + // 2^68 * 4 * G + + .quad 0xe1f6b79ebf8469ad + .quad 0x15801004e2663135 + .quad 0x9a498330af74181b + .quad 0x3ba2504f049b673c + .quad 0x9a6ce876760321fd + .quad 0x7fe2b5109eb63ad8 + .quad 0x00e7d4ae8ac80592 + .quad 0x73d86b7abb6f723a + .quad 0x0b52b5606dba5ab6 + .quad 0xa9134f0fbbb1edab + .quad 0x30a9520d9b04a635 + .quad 0x6813b8f37973e5db + + // 2^68 * 5 * G + + .quad 0x9854b054334127c1 + .quad 0x105d047882fbff25 + .quad 0xdb49f7f944186f4f + .quad 0x1768e838bed0b900 + .quad 0xf194ca56f3157e29 + .quad 0x136d35705ef528a5 + .quad 0xdd4cef778b0599bc + .quad 0x7d5472af24f833ed + .quad 0xd0ef874daf33da47 + .quad 0x00d3be5db6e339f9 + .quad 0x3f2a8a2f9c9ceece + .quad 0x5d1aeb792352435a + + // 2^68 * 6 * G + + .quad 0xf59e6bb319cd63ca + .quad 0x670c159221d06839 + .quad 0xb06d565b2150cab6 + .quad 0x20fb199d104f12a3 + .quad 0x12c7bfaeb61ba775 + .quad 0xb84e621fe263bffd + .quad 0x0b47a5c35c840dcf + .quad 0x7e83be0bccaf8634 + .quad 0x61943dee6d99c120 + .quad 0x86101f2e460b9fe0 + .quad 0x6bb2f1518ee8598d + .quad 0x76b76289fcc475cc + + // 2^68 * 7 * G + + .quad 0x791b4cc1756286fa + .quad 0xdbced317d74a157c + .quad 0x7e732421ea72bde6 + .quad 0x01fe18491131c8e9 + .quad 0x4245f1a1522ec0b3 + .quad 0x558785b22a75656d + .quad 0x1d485a2548a1b3c0 + .quad 0x60959eccd58fe09f + .quad 0x3ebfeb7ba8ed7a09 + .quad 0x49fdc2bbe502789c + .quad 0x44ebce5d3c119428 + .quad 0x35e1eb55be947f4a + + // 2^68 * 8 * G + + .quad 0xdbdae701c5738dd3 + .quad 0xf9c6f635b26f1bee + .quad 0x61e96a8042f15ef4 + .quad 0x3aa1d11faf60a4d8 + .quad 0x14fd6dfa726ccc74 + .quad 0x3b084cfe2f53b965 + .quad 0xf33ae4f552a2c8b4 + .quad 0x59aab07a0d40166a + .quad 0x77bcec4c925eac25 + .quad 0x1848718460137738 + .quad 0x5b374337fea9f451 + .quad 0x1865e78ec8e6aa46 + + // 2^72 * 1 * G + + .quad 0xccc4b7c7b66e1f7a + .quad 0x44157e25f50c2f7e + .quad 0x3ef06dfc713eaf1c + .quad 0x582f446752da63f7 + .quad 0x967c54e91c529ccb + .quad 0x30f6269264c635fb + .quad 0x2747aff478121965 + .quad 0x17038418eaf66f5c + .quad 0xc6317bd320324ce4 + .quad 0xa81042e8a4488bc4 + .quad 0xb21ef18b4e5a1364 + .quad 0x0c2a1c4bcda28dc9 + + // 2^72 * 2 * G + + .quad 0xd24dc7d06f1f0447 + .quad 0xb2269e3edb87c059 + .quad 0xd15b0272fbb2d28f + .quad 0x7c558bd1c6f64877 + .quad 0xedc4814869bd6945 + .quad 0x0d6d907dbe1c8d22 + .quad 0xc63bd212d55cc5ab + .quad 0x5a6a9b30a314dc83 + .quad 0xd0ec1524d396463d + .quad 0x12bb628ac35a24f0 + .quad 0xa50c3a791cbc5fa4 + .quad 0x0404a5ca0afbafc3 + + // 2^72 * 3 * G + + .quad 0x8c1f40070aa743d6 + .quad 0xccbad0cb5b265ee8 + .quad 0x574b046b668fd2de + .quad 0x46395bfdcadd9633 + .quad 0x62bc9e1b2a416fd1 + .quad 0xb5c6f728e350598b + .quad 0x04343fd83d5d6967 + .quad 0x39527516e7f8ee98 + .quad 0x117fdb2d1a5d9a9c + .quad 0x9c7745bcd1005c2a + .quad 0xefd4bef154d56fea + .quad 0x76579a29e822d016 + + // 2^72 * 4 * G + + .quad 0x45b68e7e49c02a17 + .quad 0x23cd51a2bca9a37f + .quad 0x3ed65f11ec224c1b + .quad 0x43a384dc9e05bdb1 + .quad 0x333cb51352b434f2 + .quad 0xd832284993de80e1 + .quad 0xb5512887750d35ce + .quad 0x02c514bb2a2777c1 + .quad 0x684bd5da8bf1b645 + .quad 0xfb8bd37ef6b54b53 + .quad 0x313916d7a9b0d253 + .quad 0x1160920961548059 + + // 2^72 * 5 * G + + .quad 0xb44d166929dacfaa + .quad 0xda529f4c8413598f + .quad 0xe9ef63ca453d5559 + .quad 0x351e125bc5698e0b + .quad 0x7a385616369b4dcd + .quad 0x75c02ca7655c3563 + .quad 0x7dc21bf9d4f18021 + .quad 0x2f637d7491e6e042 + .quad 0xd4b49b461af67bbe + .quad 0xd603037ac8ab8961 + .quad 0x71dee19ff9a699fb + .quad 0x7f182d06e7ce2a9a + + // 2^72 * 6 * G + + .quad 0x7a7c8e64ab0168ec + .quad 0xcb5a4a5515edc543 + .quad 0x095519d347cd0eda + .quad 0x67d4ac8c343e93b0 + .quad 0x09454b728e217522 + .quad 0xaa58e8f4d484b8d8 + .quad 0xd358254d7f46903c + .quad 0x44acc043241c5217 + .quad 0x1c7d6bbb4f7a5777 + .quad 0x8b35fed4918313e1 + .quad 0x4adca1c6c96b4684 + .quad 0x556d1c8312ad71bd + + // 2^72 * 7 * G + + .quad 0x17ef40e30c8d3982 + .quad 0x31f7073e15a3fa34 + .quad 0x4f21f3cb0773646e + .quad 0x746c6c6d1d824eff + .quad 0x81f06756b11be821 + .quad 0x0faff82310a3f3dd + .quad 0xf8b2d0556a99465d + .quad 0x097abe38cc8c7f05 + .quad 0x0c49c9877ea52da4 + .quad 0x4c4369559bdc1d43 + .quad 0x022c3809f7ccebd2 + .quad 0x577e14a34bee84bd + + // 2^72 * 8 * G + + .quad 0xf0e268ac61a73b0a + .quad 0xf2fafa103791a5f5 + .quad 0xc1e13e826b6d00e9 + .quad 0x60fa7ee96fd78f42 + .quad 0x94fecebebd4dd72b + .quad 0xf46a4fda060f2211 + .quad 0x124a5977c0c8d1ff + .quad 0x705304b8fb009295 + .quad 0xb63d1d354d296ec6 + .quad 0xf3c3053e5fad31d8 + .quad 0x670b958cb4bd42ec + .quad 0x21398e0ca16353fd + + // 2^76 * 1 * G + + .quad 0x216ab2ca8da7d2ef + .quad 0x366ad9dd99f42827 + .quad 0xae64b9004fdd3c75 + .quad 0x403a395b53909e62 + .quad 0x86c5fc16861b7e9a + .quad 0xf6a330476a27c451 + .quad 0x01667267a1e93597 + .quad 0x05ffb9cd6082dfeb + .quad 0xa617fa9ff53f6139 + .quad 0x60f2b5e513e66cb6 + .quad 0xd7a8beefb3448aa4 + .quad 0x7a2932856f5ea192 + + // 2^76 * 2 * G + + .quad 0x0b39d761b02de888 + .quad 0x5f550e7ed2414e1f + .quad 0xa6bfa45822e1a940 + .quad 0x050a2f7dfd447b99 + .quad 0xb89c444879639302 + .quad 0x4ae4f19350c67f2c + .quad 0xf0b35da8c81af9c6 + .quad 0x39d0003546871017 + .quad 0x437c3b33a650db77 + .quad 0x6bafe81dbac52bb2 + .quad 0xfe99402d2db7d318 + .quad 0x2b5b7eec372ba6ce + + // 2^76 * 3 * G + + .quad 0xb3bc4bbd83f50eef + .quad 0x508f0c998c927866 + .quad 0x43e76587c8b7e66e + .quad 0x0f7655a3a47f98d9 + .quad 0xa694404d613ac8f4 + .quad 0x500c3c2bfa97e72c + .quad 0x874104d21fcec210 + .quad 0x1b205fb38604a8ee + .quad 0x55ecad37d24b133c + .quad 0x441e147d6038c90b + .quad 0x656683a1d62c6fee + .quad 0x0157d5dc87e0ecae + + // 2^76 * 4 * G + + .quad 0xf2a7af510354c13d + .quad 0xd7a0b145aa372b60 + .quad 0x2869b96a05a3d470 + .quad 0x6528e42d82460173 + .quad 0x95265514d71eb524 + .quad 0xe603d8815df14593 + .quad 0x147cdf410d4de6b7 + .quad 0x5293b1730437c850 + .quad 0x23d0e0814bccf226 + .quad 0x92c745cd8196fb93 + .quad 0x8b61796c59541e5b + .quad 0x40a44df0c021f978 + + // 2^76 * 5 * G + + .quad 0xdaa869894f20ea6a + .quad 0xea14a3d14c620618 + .quad 0x6001fccb090bf8be + .quad 0x35f4e822947e9cf0 + .quad 0x86c96e514bc5d095 + .quad 0xf20d4098fca6804a + .quad 0x27363d89c826ea5d + .quad 0x39ca36565719cacf + .quad 0x97506f2f6f87b75c + .quad 0xc624aea0034ae070 + .quad 0x1ec856e3aad34dd6 + .quad 0x055b0be0e440e58f + + // 2^76 * 6 * G + + .quad 0x6469a17d89735d12 + .quad 0xdb6f27d5e662b9f1 + .quad 0x9fcba3286a395681 + .quad 0x363b8004d269af25 + .quad 0x4d12a04b6ea33da2 + .quad 0x57cf4c15e36126dd + .quad 0x90ec9675ee44d967 + .quad 0x64ca348d2a985aac + .quad 0x99588e19e4c4912d + .quad 0xefcc3b4e1ca5ce6b + .quad 0x4522ea60fa5b98d5 + .quad 0x7064bbab1de4a819 + + // 2^76 * 7 * G + + .quad 0xb919e1515a770641 + .quad 0xa9a2e2c74e7f8039 + .quad 0x7527250b3df23109 + .quad 0x756a7330ac27b78b + .quad 0xa290c06142542129 + .quad 0xf2e2c2aebe8d5b90 + .quad 0xcf2458db76abfe1b + .quad 0x02157ade83d626bf + .quad 0x3e46972a1b9a038b + .quad 0x2e4ee66a7ee03fb4 + .quad 0x81a248776edbb4ca + .quad 0x1a944ee88ecd0563 + + // 2^76 * 8 * G + + .quad 0xd5a91d1151039372 + .quad 0x2ed377b799ca26de + .quad 0xa17202acfd366b6b + .quad 0x0730291bd6901995 + .quad 0xbb40a859182362d6 + .quad 0xb99f55778a4d1abb + .quad 0x8d18b427758559f6 + .quad 0x26c20fe74d26235a + .quad 0x648d1d9fe9cc22f5 + .quad 0x66bc561928dd577c + .quad 0x47d3ed21652439d1 + .quad 0x49d271acedaf8b49 + + // 2^80 * 1 * G + + .quad 0x89f5058a382b33f3 + .quad 0x5ae2ba0bad48c0b4 + .quad 0x8f93b503a53db36e + .quad 0x5aa3ed9d95a232e6 + .quad 0x2798aaf9b4b75601 + .quad 0x5eac72135c8dad72 + .quad 0xd2ceaa6161b7a023 + .quad 0x1bbfb284e98f7d4e + .quad 0x656777e9c7d96561 + .quad 0xcb2b125472c78036 + .quad 0x65053299d9506eee + .quad 0x4a07e14e5e8957cc + + // 2^80 * 2 * G + + .quad 0x4ee412cb980df999 + .quad 0xa315d76f3c6ec771 + .quad 0xbba5edde925c77fd + .quad 0x3f0bac391d313402 + .quad 0x240b58cdc477a49b + .quad 0xfd38dade6447f017 + .quad 0x19928d32a7c86aad + .quad 0x50af7aed84afa081 + .quad 0x6e4fde0115f65be5 + .quad 0x29982621216109b2 + .quad 0x780205810badd6d9 + .quad 0x1921a316baebd006 + + // 2^80 * 3 * G + + .quad 0x89422f7edfb870fc + .quad 0x2c296beb4f76b3bd + .quad 0x0738f1d436c24df7 + .quad 0x6458df41e273aeb0 + .quad 0xd75aad9ad9f3c18b + .quad 0x566a0eef60b1c19c + .quad 0x3e9a0bac255c0ed9 + .quad 0x7b049deca062c7f5 + .quad 0xdccbe37a35444483 + .quad 0x758879330fedbe93 + .quad 0x786004c312c5dd87 + .quad 0x6093dccbc2950e64 + + // 2^80 * 4 * G + + .quad 0x1ff39a8585e0706d + .quad 0x36d0a5d8b3e73933 + .quad 0x43b9f2e1718f453b + .quad 0x57d1ea084827a97c + .quad 0x6bdeeebe6084034b + .quad 0x3199c2b6780fb854 + .quad 0x973376abb62d0695 + .quad 0x6e3180c98b647d90 + .quad 0xee7ab6e7a128b071 + .quad 0xa4c1596d93a88baa + .quad 0xf7b4de82b2216130 + .quad 0x363e999ddd97bd18 + + // 2^80 * 5 * G + + .quad 0x96a843c135ee1fc4 + .quad 0x976eb35508e4c8cf + .quad 0xb42f6801b58cd330 + .quad 0x48ee9b78693a052b + .quad 0x2f1848dce24baec6 + .quad 0x769b7255babcaf60 + .quad 0x90cb3c6e3cefe931 + .quad 0x231f979bc6f9b355 + .quad 0x5c31de4bcc2af3c6 + .quad 0xb04bb030fe208d1f + .quad 0xb78d7009c14fb466 + .quad 0x079bfa9b08792413 + + // 2^80 * 6 * G + + .quad 0xe3903a51da300df4 + .quad 0x843964233da95ab0 + .quad 0xed3cf12d0b356480 + .quad 0x038c77f684817194 + .quad 0xf3c9ed80a2d54245 + .quad 0x0aa08b7877f63952 + .quad 0xd76dac63d1085475 + .quad 0x1ef4fb159470636b + .quad 0x854e5ee65b167bec + .quad 0x59590a4296d0cdc2 + .quad 0x72b2df3498102199 + .quad 0x575ee92a4a0bff56 + + // 2^80 * 7 * G + + .quad 0xd4c080908a182fcf + .quad 0x30e170c299489dbd + .quad 0x05babd5752f733de + .quad 0x43d4e7112cd3fd00 + .quad 0x5d46bc450aa4d801 + .quad 0xc3af1227a533b9d8 + .quad 0x389e3b262b8906c2 + .quad 0x200a1e7e382f581b + .quad 0x518db967eaf93ac5 + .quad 0x71bc989b056652c0 + .quad 0xfe2b85d9567197f5 + .quad 0x050eca52651e4e38 + + // 2^80 * 8 * G + + .quad 0xc3431ade453f0c9c + .quad 0xe9f5045eff703b9b + .quad 0xfcd97ac9ed847b3d + .quad 0x4b0ee6c21c58f4c6 + .quad 0x97ac397660e668ea + .quad 0x9b19bbfe153ab497 + .quad 0x4cb179b534eca79f + .quad 0x6151c09fa131ae57 + .quad 0x3af55c0dfdf05d96 + .quad 0xdd262ee02ab4ee7a + .quad 0x11b2bb8712171709 + .quad 0x1fef24fa800f030b + + // 2^84 * 1 * G + + .quad 0xb496123a6b6c6609 + .quad 0xa750fe8580ab5938 + .quad 0xf471bf39b7c27a5f + .quad 0x507903ce77ac193c + .quad 0xff91a66a90166220 + .quad 0xf22552ae5bf1e009 + .quad 0x7dff85d87f90df7c + .quad 0x4f620ffe0c736fb9 + .quad 0x62f90d65dfde3e34 + .quad 0xcf28c592b9fa5fad + .quad 0x99c86ef9c6164510 + .quad 0x25d448044a256c84 + + // 2^84 * 2 * G + + .quad 0xbd68230ec7e9b16f + .quad 0x0eb1b9c1c1c5795d + .quad 0x7943c8c495b6b1ff + .quad 0x2f9faf620bbacf5e + .quad 0x2c7c4415c9022b55 + .quad 0x56a0d241812eb1fe + .quad 0xf02ea1c9d7b65e0d + .quad 0x4180512fd5323b26 + .quad 0xa4ff3e698a48a5db + .quad 0xba6a3806bd95403b + .quad 0x9f7ce1af47d5b65d + .quad 0x15e087e55939d2fb + + // 2^84 * 3 * G + + .quad 0x12207543745c1496 + .quad 0xdaff3cfdda38610c + .quad 0xe4e797272c71c34f + .quad 0x39c07b1934bdede9 + .quad 0x8894186efb963f38 + .quad 0x48a00e80dc639bd5 + .quad 0xa4e8092be96c1c99 + .quad 0x5a097d54ca573661 + .quad 0x2d45892b17c9e755 + .quad 0xd033fd7289308df8 + .quad 0x6c2fe9d9525b8bd9 + .quad 0x2edbecf1c11cc079 + + // 2^84 * 4 * G + + .quad 0x1616a4e3c715a0d2 + .quad 0x53623cb0f8341d4d + .quad 0x96ef5329c7e899cb + .quad 0x3d4e8dbba668baa6 + .quad 0xee0f0fddd087a25f + .quad 0x9c7531555c3e34ee + .quad 0x660c572e8fab3ab5 + .quad 0x0854fc44544cd3b2 + .quad 0x61eba0c555edad19 + .quad 0x24b533fef0a83de6 + .quad 0x3b77042883baa5f8 + .quad 0x678f82b898a47e8d + + // 2^84 * 5 * G + + .quad 0xb1491d0bd6900c54 + .quad 0x3539722c9d132636 + .quad 0x4db928920b362bc9 + .quad 0x4d7cd1fea68b69df + .quad 0x1e09d94057775696 + .quad 0xeed1265c3cd951db + .quad 0xfa9dac2b20bce16f + .quad 0x0f7f76e0e8d089f4 + .quad 0x36d9ebc5d485b00c + .quad 0xa2596492e4adb365 + .quad 0xc1659480c2119ccd + .quad 0x45306349186e0d5f + + // 2^84 * 6 * G + + .quad 0x94ddd0c1a6cdff1d + .quad 0x55f6f115e84213ae + .quad 0x6c935f85992fcf6a + .quad 0x067ee0f54a37f16f + .quad 0x96a414ec2b072491 + .quad 0x1bb2218127a7b65b + .quad 0x6d2849596e8a4af0 + .quad 0x65f3b08ccd27765f + .quad 0xecb29fff199801f7 + .quad 0x9d361d1fa2a0f72f + .quad 0x25f11d2375fd2f49 + .quad 0x124cefe80fe10fe2 + + // 2^84 * 7 * G + + .quad 0x4c126cf9d18df255 + .quad 0xc1d471e9147a63b6 + .quad 0x2c6d3c73f3c93b5f + .quad 0x6be3a6a2e3ff86a2 + .quad 0x1518e85b31b16489 + .quad 0x8faadcb7db710bfb + .quad 0x39b0bdf4a14ae239 + .quad 0x05f4cbea503d20c1 + .quad 0xce040e9ec04145bc + .quad 0xc71ff4e208f6834c + .quad 0xbd546e8dab8847a3 + .quad 0x64666aa0a4d2aba5 + + // 2^84 * 8 * G + + .quad 0x6841435a7c06d912 + .quad 0xca123c21bb3f830b + .quad 0xd4b37b27b1cbe278 + .quad 0x1d753b84c76f5046 + .quad 0xb0c53bf73337e94c + .quad 0x7cb5697e11e14f15 + .quad 0x4b84abac1930c750 + .quad 0x28dd4abfe0640468 + .quad 0x7dc0b64c44cb9f44 + .quad 0x18a3e1ace3925dbf + .quad 0x7a3034862d0457c4 + .quad 0x4c498bf78a0c892e + + // 2^88 * 1 * G + + .quad 0x37d653fb1aa73196 + .quad 0x0f9495303fd76418 + .quad 0xad200b09fb3a17b2 + .quad 0x544d49292fc8613e + .quad 0x22d2aff530976b86 + .quad 0x8d90b806c2d24604 + .quad 0xdca1896c4de5bae5 + .quad 0x28005fe6c8340c17 + .quad 0x6aefba9f34528688 + .quad 0x5c1bff9425107da1 + .quad 0xf75bbbcd66d94b36 + .quad 0x72e472930f316dfa + + // 2^88 * 2 * G + + .quad 0x2695208c9781084f + .quad 0xb1502a0b23450ee1 + .quad 0xfd9daea603efde02 + .quad 0x5a9d2e8c2733a34c + .quad 0x07f3f635d32a7627 + .quad 0x7aaa4d865f6566f0 + .quad 0x3c85e79728d04450 + .quad 0x1fee7f000fe06438 + .quad 0x765305da03dbf7e5 + .quad 0xa4daf2491434cdbd + .quad 0x7b4ad5cdd24a88ec + .quad 0x00f94051ee040543 + + // 2^88 * 3 * G + + .quad 0x8d356b23c3d330b2 + .quad 0xf21c8b9bb0471b06 + .quad 0xb36c316c6e42b83c + .quad 0x07d79c7e8beab10d + .quad 0xd7ef93bb07af9753 + .quad 0x583ed0cf3db766a7 + .quad 0xce6998bf6e0b1ec5 + .quad 0x47b7ffd25dd40452 + .quad 0x87fbfb9cbc08dd12 + .quad 0x8a066b3ae1eec29b + .quad 0x0d57242bdb1fc1bf + .quad 0x1c3520a35ea64bb6 + + // 2^88 * 4 * G + + .quad 0x80d253a6bccba34a + .quad 0x3e61c3a13838219b + .quad 0x90c3b6019882e396 + .quad 0x1c3d05775d0ee66f + .quad 0xcda86f40216bc059 + .quad 0x1fbb231d12bcd87e + .quad 0xb4956a9e17c70990 + .quad 0x38750c3b66d12e55 + .quad 0x692ef1409422e51a + .quad 0xcbc0c73c2b5df671 + .quad 0x21014fe7744ce029 + .quad 0x0621e2c7d330487c + + // 2^88 * 5 * G + + .quad 0xaf9860cc8259838d + .quad 0x90ea48c1c69f9adc + .quad 0x6526483765581e30 + .quad 0x0007d6097bd3a5bc + .quad 0xb7ae1796b0dbf0f3 + .quad 0x54dfafb9e17ce196 + .quad 0x25923071e9aaa3b4 + .quad 0x5d8e589ca1002e9d + .quad 0xc0bf1d950842a94b + .quad 0xb2d3c363588f2e3e + .quad 0x0a961438bb51e2ef + .quad 0x1583d7783c1cbf86 + + // 2^88 * 6 * G + + .quad 0xeceea2ef5da27ae1 + .quad 0x597c3a1455670174 + .quad 0xc9a62a126609167a + .quad 0x252a5f2e81ed8f70 + .quad 0x90034704cc9d28c7 + .quad 0x1d1b679ef72cc58f + .quad 0x16e12b5fbe5b8726 + .quad 0x4958064e83c5580a + .quad 0x0d2894265066e80d + .quad 0xfcc3f785307c8c6b + .quad 0x1b53da780c1112fd + .quad 0x079c170bd843b388 + + // 2^88 * 7 * G + + .quad 0x0506ece464fa6fff + .quad 0xbee3431e6205e523 + .quad 0x3579422451b8ea42 + .quad 0x6dec05e34ac9fb00 + .quad 0xcdd6cd50c0d5d056 + .quad 0x9af7686dbb03573b + .quad 0x3ca6723ff3c3ef48 + .quad 0x6768c0d7317b8acc + .quad 0x94b625e5f155c1b3 + .quad 0x417bf3a7997b7b91 + .quad 0xc22cbddc6d6b2600 + .quad 0x51445e14ddcd52f4 + + // 2^88 * 8 * G + + .quad 0x57502b4b3b144951 + .quad 0x8e67ff6b444bbcb3 + .quad 0xb8bd6927166385db + .quad 0x13186f31e39295c8 + .quad 0x893147ab2bbea455 + .quad 0x8c53a24f92079129 + .quad 0x4b49f948be30f7a7 + .quad 0x12e990086e4fd43d + .quad 0xf10c96b37fdfbb2e + .quad 0x9f9a935e121ceaf9 + .quad 0xdf1136c43a5b983f + .quad 0x77b2e3f05d3e99af + + // 2^92 * 1 * G + + .quad 0xfd0d75879cf12657 + .quad 0xe82fef94e53a0e29 + .quad 0xcc34a7f05bbb4be7 + .quad 0x0b251172a50c38a2 + .quad 0x9532f48fcc5cd29b + .quad 0x2ba851bea3ce3671 + .quad 0x32dacaa051122941 + .quad 0x478d99d9350004f2 + .quad 0x1d5ad94890bb02c0 + .quad 0x50e208b10ec25115 + .quad 0xa26a22894ef21702 + .quad 0x4dc923343b524805 + + // 2^92 * 2 * G + + .quad 0xe3828c400f8086b6 + .quad 0x3f77e6f7979f0dc8 + .quad 0x7ef6de304df42cb4 + .quad 0x5265797cb6abd784 + .quad 0x3ad3e3ebf36c4975 + .quad 0xd75d25a537862125 + .quad 0xe873943da025a516 + .quad 0x6bbc7cb4c411c847 + .quad 0x3c6f9cd1d4a50d56 + .quad 0xb6244077c6feab7e + .quad 0x6ff9bf483580972e + .quad 0x00375883b332acfb + + // 2^92 * 3 * G + + .quad 0x0001b2cd28cb0940 + .quad 0x63fb51a06f1c24c9 + .quad 0xb5ad8691dcd5ca31 + .quad 0x67238dbd8c450660 + .quad 0xc98bec856c75c99c + .quad 0xe44184c000e33cf4 + .quad 0x0a676b9bba907634 + .quad 0x669e2cb571f379d7 + .quad 0xcb116b73a49bd308 + .quad 0x025aad6b2392729e + .quad 0xb4793efa3f55d9b1 + .quad 0x72a1056140678bb9 + + // 2^92 * 4 * G + + .quad 0xa2b6812b1cc9249d + .quad 0x62866eee21211f58 + .quad 0x2cb5c5b85df10ece + .quad 0x03a6b259e263ae00 + .quad 0x0d8d2909e2e505b6 + .quad 0x98ca78abc0291230 + .quad 0x77ef5569a9b12327 + .quad 0x7c77897b81439b47 + .quad 0xf1c1b5e2de331cb5 + .quad 0x5a9f5d8e15fca420 + .quad 0x9fa438f17bd932b1 + .quad 0x2a381bf01c6146e7 + + // 2^92 * 5 * G + + .quad 0xac9b9879cfc811c1 + .quad 0x8b7d29813756e567 + .quad 0x50da4e607c70edfc + .quad 0x5dbca62f884400b6 + .quad 0xf7c0be32b534166f + .quad 0x27e6ca6419cf70d4 + .quad 0x934df7d7a957a759 + .quad 0x5701461dabdec2aa + .quad 0x2c6747402c915c25 + .quad 0x1bdcd1a80b0d340a + .quad 0x5e5601bd07b43f5f + .quad 0x2555b4e05539a242 + + // 2^92 * 6 * G + + .quad 0x6fc09f5266ddd216 + .quad 0xdce560a7c8e37048 + .quad 0xec65939da2df62fd + .quad 0x7a869ae7e52ed192 + .quad 0x78409b1d87e463d4 + .quad 0xad4da95acdfb639d + .quad 0xec28773755259b9c + .quad 0x69c806e9c31230ab + .quad 0x7b48f57414bb3f22 + .quad 0x68c7cee4aedccc88 + .quad 0xed2f936179ed80be + .quad 0x25d70b885f77bc4b + + // 2^92 * 7 * G + + .quad 0x4151c3d9762bf4de + .quad 0x083f435f2745d82b + .quad 0x29775a2e0d23ddd5 + .quad 0x138e3a6269a5db24 + .quad 0x98459d29bb1ae4d4 + .quad 0x56b9c4c739f954ec + .quad 0x832743f6c29b4b3e + .quad 0x21ea8e2798b6878a + .quad 0x87bef4b46a5a7b9c + .quad 0xd2299d1b5fc1d062 + .quad 0x82409818dd321648 + .quad 0x5c5abeb1e5a2e03d + + // 2^92 * 8 * G + + .quad 0x14722af4b73c2ddb + .quad 0xbc470c5f5a05060d + .quad 0x00943eac2581b02e + .quad 0x0e434b3b1f499c8f + .quad 0x02cde6de1306a233 + .quad 0x7b5a52a2116f8ec7 + .quad 0xe1c681f4c1163b5b + .quad 0x241d350660d32643 + .quad 0x6be4404d0ebc52c7 + .quad 0xae46233bb1a791f5 + .quad 0x2aec170ed25db42b + .quad 0x1d8dfd966645d694 + + // 2^96 * 1 * G + + .quad 0x296fa9c59c2ec4de + .quad 0xbc8b61bf4f84f3cb + .quad 0x1c7706d917a8f908 + .quad 0x63b795fc7ad3255d + .quad 0xd598639c12ddb0a4 + .quad 0xa5d19f30c024866b + .quad 0xd17c2f0358fce460 + .quad 0x07a195152e095e8a + .quad 0xa8368f02389e5fc8 + .quad 0x90433b02cf8de43b + .quad 0xafa1fd5dc5412643 + .quad 0x3e8fe83d032f0137 + + // 2^96 * 2 * G + + .quad 0x2f8b15b90570a294 + .quad 0x94f2427067084549 + .quad 0xde1c5ae161bbfd84 + .quad 0x75ba3b797fac4007 + .quad 0x08704c8de8efd13c + .quad 0xdfc51a8e33e03731 + .quad 0xa59d5da51260cde3 + .quad 0x22d60899a6258c86 + .quad 0x6239dbc070cdd196 + .quad 0x60fe8a8b6c7d8a9a + .quad 0xb38847bceb401260 + .quad 0x0904d07b87779e5e + + // 2^96 * 3 * G + + .quad 0xb4ce1fd4ddba919c + .quad 0xcf31db3ec74c8daa + .quad 0x2c63cc63ad86cc51 + .quad 0x43e2143fbc1dde07 + .quad 0xf4322d6648f940b9 + .quad 0x06952f0cbd2d0c39 + .quad 0x167697ada081f931 + .quad 0x6240aacebaf72a6c + .quad 0xf834749c5ba295a0 + .quad 0xd6947c5bca37d25a + .quad 0x66f13ba7e7c9316a + .quad 0x56bdaf238db40cac + + // 2^96 * 4 * G + + .quad 0x362ab9e3f53533eb + .quad 0x338568d56eb93d40 + .quad 0x9e0e14521d5a5572 + .quad 0x1d24a86d83741318 + .quad 0x1310d36cc19d3bb2 + .quad 0x062a6bb7622386b9 + .quad 0x7c9b8591d7a14f5c + .quad 0x03aa31507e1e5754 + .quad 0xf4ec7648ffd4ce1f + .quad 0xe045eaf054ac8c1c + .quad 0x88d225821d09357c + .quad 0x43b261dc9aeb4859 + + // 2^96 * 5 * G + + .quad 0xe55b1e1988bb79bb + .quad 0xa09ed07dc17a359d + .quad 0xb02c2ee2603dea33 + .quad 0x326055cf5b276bc2 + .quad 0x19513d8b6c951364 + .quad 0x94fe7126000bf47b + .quad 0x028d10ddd54f9567 + .quad 0x02b4d5e242940964 + .quad 0xb4a155cb28d18df2 + .quad 0xeacc4646186ce508 + .quad 0xc49cf4936c824389 + .quad 0x27a6c809ae5d3410 + + // 2^96 * 6 * G + + .quad 0x8ba6ebcd1f0db188 + .quad 0x37d3d73a675a5be8 + .quad 0xf22edfa315f5585a + .quad 0x2cb67174ff60a17e + .quad 0xcd2c270ac43d6954 + .quad 0xdd4a3e576a66cab2 + .quad 0x79fa592469d7036c + .quad 0x221503603d8c2599 + .quad 0x59eecdf9390be1d0 + .quad 0xa9422044728ce3f1 + .quad 0x82891c667a94f0f4 + .quad 0x7b1df4b73890f436 + + // 2^96 * 7 * G + + .quad 0xe492f2e0b3b2a224 + .quad 0x7c6c9e062b551160 + .quad 0x15eb8fe20d7f7b0e + .quad 0x61fcef2658fc5992 + .quad 0x5f2e221807f8f58c + .quad 0xe3555c9fd49409d4 + .quad 0xb2aaa88d1fb6a630 + .quad 0x68698245d352e03d + .quad 0xdbb15d852a18187a + .quad 0xf3e4aad386ddacd7 + .quad 0x44bae2810ff6c482 + .quad 0x46cf4c473daf01cf + + // 2^96 * 8 * G + + .quad 0x426525ed9ec4e5f9 + .quad 0x0e5eda0116903303 + .quad 0x72b1a7f2cbe5cadc + .quad 0x29387bcd14eb5f40 + .quad 0x213c6ea7f1498140 + .quad 0x7c1e7ef8392b4854 + .quad 0x2488c38c5629ceba + .quad 0x1065aae50d8cc5bb + .quad 0x1c2c4525df200d57 + .quad 0x5c3b2dd6bfca674a + .quad 0x0a07e7b1e1834030 + .quad 0x69a198e64f1ce716 + + // 2^100 * 1 * G + + .quad 0x7afcd613efa9d697 + .quad 0x0cc45aa41c067959 + .quad 0xa56fe104c1fada96 + .quad 0x3a73b70472e40365 + .quad 0x7b26e56b9e2d4734 + .quad 0xc4c7132b81c61675 + .quad 0xef5c9525ec9cde7f + .quad 0x39c80b16e71743ad + .quad 0x0f196e0d1b826c68 + .quad 0xf71ff0e24960e3db + .quad 0x6113167023b7436c + .quad 0x0cf0ea5877da7282 + + // 2^100 * 2 * G + + .quad 0x196c80a4ddd4ccbd + .quad 0x22e6f55d95f2dd9d + .quad 0xc75e33c740d6c71b + .quad 0x7bb51279cb3c042f + .quad 0xe332ced43ba6945a + .quad 0xde0b1361e881c05d + .quad 0x1ad40f095e67ed3b + .quad 0x5da8acdab8c63d5d + .quad 0xc4b6664a3a70159f + .quad 0x76194f0f0a904e14 + .quad 0xa5614c39a4096c13 + .quad 0x6cd0ff50979feced + + // 2^100 * 3 * G + + .quad 0xc0e067e78f4428ac + .quad 0x14835ab0a61135e3 + .quad 0xf21d14f338062935 + .quad 0x6390a4c8df04849c + .quad 0x7fecfabdb04ba18e + .quad 0xd0fc7bfc3bddbcf7 + .quad 0xa41d486e057a131c + .quad 0x641a4391f2223a61 + .quad 0xc5c6b95aa606a8db + .quad 0x914b7f9eb06825f1 + .quad 0x2a731f6b44fc9eff + .quad 0x30ddf38562705cfc + + // 2^100 * 4 * G + + .quad 0x4e3dcbdad1bff7f9 + .quad 0xc9118e8220645717 + .quad 0xbacccebc0f189d56 + .quad 0x1b4822e9d4467668 + .quad 0x33bef2bd68bcd52c + .quad 0xc649dbb069482ef2 + .quad 0xb5b6ee0c41cb1aee + .quad 0x5c294d270212a7e5 + .quad 0xab360a7f25563781 + .quad 0x2512228a480f7958 + .quad 0xc75d05276114b4e3 + .quad 0x222d9625d976fe2a + + // 2^100 * 5 * G + + .quad 0x1c717f85b372ace1 + .quad 0x81930e694638bf18 + .quad 0x239cad056bc08b58 + .quad 0x0b34271c87f8fff4 + .quad 0x0f94be7e0a344f85 + .quad 0xeb2faa8c87f22c38 + .quad 0x9ce1e75e4ee16f0f + .quad 0x43e64e5418a08dea + .quad 0x8155e2521a35ce63 + .quad 0xbe100d4df912028e + .quad 0xbff80bf8a57ddcec + .quad 0x57342dc96d6bc6e4 + + // 2^100 * 6 * G + + .quad 0xefeef065c8ce5998 + .quad 0xbf029510b5cbeaa2 + .quad 0x8c64a10620b7c458 + .quad 0x35134fb231c24855 + .quad 0xf3c3bcb71e707bf6 + .quad 0x351d9b8c7291a762 + .quad 0x00502e6edad69a33 + .quad 0x522f521f1ec8807f + .quad 0x272c1f46f9a3902b + .quad 0xc91ba3b799657bcc + .quad 0xae614b304f8a1c0e + .quad 0x7afcaad70b99017b + + // 2^100 * 7 * G + + .quad 0xc25ded54a4b8be41 + .quad 0x902d13e11bb0e2dd + .quad 0x41f43233cde82ab2 + .quad 0x1085faa5c3aae7cb + .quad 0xa88141ecef842b6b + .quad 0x55e7b14797abe6c5 + .quad 0x8c748f9703784ffe + .quad 0x5b50a1f7afcd00b7 + .quad 0x9b840f66f1361315 + .quad 0x18462242701003e9 + .quad 0x65ed45fae4a25080 + .quad 0x0a2862393fda7320 + + // 2^100 * 8 * G + + .quad 0x46ab13c8347cbc9d + .quad 0x3849e8d499c12383 + .quad 0x4cea314087d64ac9 + .quad 0x1f354134b1a29ee7 + .quad 0x960e737b6ecb9d17 + .quad 0xfaf24948d67ceae1 + .quad 0x37e7a9b4d55e1b89 + .quad 0x5cb7173cb46c59eb + .quad 0x4a89e68b82b7abf0 + .quad 0xf41cd9279ba6b7b9 + .quad 0x16e6c210e18d876f + .quad 0x7cacdb0f7f1b09c6 + + // 2^104 * 1 * G + + .quad 0x9062b2e0d91a78bc + .quad 0x47c9889cc8509667 + .quad 0x9df54a66405070b8 + .quad 0x7369e6a92493a1bf + .quad 0xe1014434dcc5caed + .quad 0x47ed5d963c84fb33 + .quad 0x70019576ed86a0e7 + .quad 0x25b2697bd267f9e4 + .quad 0x9d673ffb13986864 + .quad 0x3ca5fbd9415dc7b8 + .quad 0xe04ecc3bdf273b5e + .quad 0x1420683db54e4cd2 + + // 2^104 * 2 * G + + .quad 0xb478bd1e249dd197 + .quad 0x620c35005e58c102 + .quad 0xfb02d32fccbaac5c + .quad 0x60b63bebf508a72d + .quad 0x34eebb6fc1cc5ad0 + .quad 0x6a1b0ce99646ac8b + .quad 0xd3b0da49a66bde53 + .quad 0x31e83b4161d081c1 + .quad 0x97e8c7129e062b4f + .quad 0x49e48f4f29320ad8 + .quad 0x5bece14b6f18683f + .quad 0x55cf1eb62d550317 + + // 2^104 * 3 * G + + .quad 0x5879101065c23d58 + .quad 0x8b9d086d5094819c + .quad 0xe2402fa912c55fa7 + .quad 0x669a6564570891d4 + .quad 0x3076b5e37df58c52 + .quad 0xd73ab9dde799cc36 + .quad 0xbd831ce34913ee20 + .quad 0x1a56fbaa62ba0133 + .quad 0x943e6b505c9dc9ec + .quad 0x302557bba77c371a + .quad 0x9873ae5641347651 + .quad 0x13c4836799c58a5c + + // 2^104 * 4 * G + + .quad 0x423a5d465ab3e1b9 + .quad 0xfc13c187c7f13f61 + .quad 0x19f83664ecb5b9b6 + .quad 0x66f80c93a637b607 + .quad 0xc4dcfb6a5d8bd080 + .quad 0xdeebc4ec571a4842 + .quad 0xd4b2e883b8e55365 + .quad 0x50bdc87dc8e5b827 + .quad 0x606d37836edfe111 + .quad 0x32353e15f011abd9 + .quad 0x64b03ac325b73b96 + .quad 0x1dd56444725fd5ae + + // 2^104 * 5 * G + + .quad 0x8fa47ff83362127d + .quad 0xbc9f6ac471cd7c15 + .quad 0x6e71454349220c8b + .quad 0x0e645912219f732e + .quad 0xc297e60008bac89a + .quad 0x7d4cea11eae1c3e0 + .quad 0xf3e38be19fe7977c + .quad 0x3a3a450f63a305cd + .quad 0x078f2f31d8394627 + .quad 0x389d3183de94a510 + .quad 0xd1e36c6d17996f80 + .quad 0x318c8d9393a9a87b + + // 2^104 * 6 * G + + .quad 0xf2745d032afffe19 + .quad 0x0c9f3c497f24db66 + .quad 0xbc98d3e3ba8598ef + .quad 0x224c7c679a1d5314 + .quad 0x5d669e29ab1dd398 + .quad 0xfc921658342d9e3b + .quad 0x55851dfdf35973cd + .quad 0x509a41c325950af6 + .quad 0xbdc06edca6f925e9 + .quad 0x793ef3f4641b1f33 + .quad 0x82ec12809d833e89 + .quad 0x05bff02328a11389 + + // 2^104 * 7 * G + + .quad 0x3632137023cae00b + .quad 0x544acf0ad1accf59 + .quad 0x96741049d21a1c88 + .quad 0x780b8cc3fa2a44a7 + .quad 0x6881a0dd0dc512e4 + .quad 0x4fe70dc844a5fafe + .quad 0x1f748e6b8f4a5240 + .quad 0x576277cdee01a3ea + .quad 0x1ef38abc234f305f + .quad 0x9a577fbd1405de08 + .quad 0x5e82a51434e62a0d + .quad 0x5ff418726271b7a1 + + // 2^104 * 8 * G + + .quad 0x398e080c1789db9d + .quad 0xa7602025f3e778f5 + .quad 0xfa98894c06bd035d + .quad 0x106a03dc25a966be + .quad 0xe5db47e813b69540 + .quad 0xf35d2a3b432610e1 + .quad 0xac1f26e938781276 + .quad 0x29d4db8ca0a0cb69 + .quad 0xd9ad0aaf333353d0 + .quad 0x38669da5acd309e5 + .quad 0x3c57658ac888f7f0 + .quad 0x4ab38a51052cbefa + + // 2^108 * 1 * G + + .quad 0xdfdacbee4324c0e9 + .quad 0x054442883f955bb7 + .quad 0xdef7aaa8ea31609f + .quad 0x68aee70642287cff + .quad 0xf68fe2e8809de054 + .quad 0xe3bc096a9c82bad1 + .quad 0x076353d40aadbf45 + .quad 0x7b9b1fb5dea1959e + .quad 0xf01cc8f17471cc0c + .quad 0x95242e37579082bb + .quad 0x27776093d3e46b5f + .quad 0x2d13d55a28bd85fb + + // 2^108 * 2 * G + + .quad 0xfac5d2065b35b8da + .quad 0xa8da8a9a85624bb7 + .quad 0xccd2ca913d21cd0f + .quad 0x6b8341ee8bf90d58 + .quad 0xbf019cce7aee7a52 + .quad 0xa8ded2b6e454ead3 + .quad 0x3c619f0b87a8bb19 + .quad 0x3619b5d7560916d8 + .quad 0x3579f26b0282c4b2 + .quad 0x64d592f24fafefae + .quad 0xb7cded7b28c8c7c0 + .quad 0x6a927b6b7173a8d7 + + // 2^108 * 3 * G + + .quad 0x1f6db24f986e4656 + .quad 0x1021c02ed1e9105b + .quad 0xf8ff3fff2cc0a375 + .quad 0x1d2a6bf8c6c82592 + .quad 0x8d7040863ece88eb + .quad 0xf0e307a980eec08c + .quad 0xac2250610d788fda + .quad 0x056d92a43a0d478d + .quad 0x1b05a196fc3da5a1 + .quad 0x77d7a8c243b59ed0 + .quad 0x06da3d6297d17918 + .quad 0x66fbb494f12353f7 + + // 2^108 * 4 * G + + .quad 0x751a50b9d85c0fb8 + .quad 0xd1afdc258bcf097b + .quad 0x2f16a6a38309a969 + .quad 0x14ddff9ee5b00659 + .quad 0xd6d70996f12309d6 + .quad 0xdbfb2385e9c3d539 + .quad 0x46d602b0f7552411 + .quad 0x270a0b0557843e0c + .quad 0x61ff0640a7862bcc + .quad 0x81cac09a5f11abfe + .quad 0x9047830455d12abb + .quad 0x19a4bde1945ae873 + + // 2^108 * 5 * G + + .quad 0x9b9f26f520a6200a + .quad 0x64804443cf13eaf8 + .quad 0x8a63673f8631edd3 + .quad 0x72bbbce11ed39dc1 + .quad 0x40c709dec076c49f + .quad 0x657bfaf27f3e53f6 + .quad 0x40662331eca042c4 + .quad 0x14b375487eb4df04 + .quad 0xae853c94ab66dc47 + .quad 0xeb62343edf762d6e + .quad 0xf08e0e186fb2f7d1 + .quad 0x4f0b1c02700ab37a + + // 2^108 * 6 * G + + .quad 0xe1706787d81951fa + .quad 0xa10a2c8eb290c77b + .quad 0xe7382fa03ed66773 + .quad 0x0a4d84710bcc4b54 + .quad 0x79fd21ccc1b2e23f + .quad 0x4ae7c281453df52a + .quad 0xc8172ec9d151486b + .quad 0x68abe9443e0a7534 + .quad 0xda12c6c407831dcb + .quad 0x0da230d74d5c510d + .quad 0x4ab1531e6bd404e1 + .quad 0x4106b166bcf440ef + + // 2^108 * 7 * G + + .quad 0x02e57a421cd23668 + .quad 0x4ad9fb5d0eaef6fd + .quad 0x954e6727b1244480 + .quad 0x7f792f9d2699f331 + .quad 0xa485ccd539e4ecf2 + .quad 0x5aa3f3ad0555bab5 + .quad 0x145e3439937df82d + .quad 0x1238b51e1214283f + .quad 0x0b886b925fd4d924 + .quad 0x60906f7a3626a80d + .quad 0xecd367b4b98abd12 + .quad 0x2876beb1def344cf + + // 2^108 * 8 * G + + .quad 0xdc84e93563144691 + .quad 0x632fe8a0d61f23f4 + .quad 0x4caa800612a9a8d5 + .quad 0x48f9dbfa0e9918d3 + .quad 0xd594b3333a8a85f8 + .quad 0x4ea37689e78d7d58 + .quad 0x73bf9f455e8e351f + .quad 0x5507d7d2bc41ebb4 + .quad 0x1ceb2903299572fc + .quad 0x7c8ccaa29502d0ee + .quad 0x91bfa43411cce67b + .quad 0x5784481964a831e7 + + // 2^112 * 1 * G + + .quad 0xda7c2b256768d593 + .quad 0x98c1c0574422ca13 + .quad 0xf1a80bd5ca0ace1d + .quad 0x29cdd1adc088a690 + .quad 0xd6cfd1ef5fddc09c + .quad 0xe82b3efdf7575dce + .quad 0x25d56b5d201634c2 + .quad 0x3041c6bb04ed2b9b + .quad 0x0ff2f2f9d956e148 + .quad 0xade797759f356b2e + .quad 0x1a4698bb5f6c025c + .quad 0x104bbd6814049a7b + + // 2^112 * 2 * G + + .quad 0x51f0fd3168f1ed67 + .quad 0x2c811dcdd86f3bc2 + .quad 0x44dc5c4304d2f2de + .quad 0x5be8cc57092a7149 + .quad 0xa95d9a5fd67ff163 + .quad 0xe92be69d4cc75681 + .quad 0xb7f8024cde20f257 + .quad 0x204f2a20fb072df5 + .quad 0xc8143b3d30ebb079 + .quad 0x7589155abd652e30 + .quad 0x653c3c318f6d5c31 + .quad 0x2570fb17c279161f + + // 2^112 * 3 * G + + .quad 0x3efa367f2cb61575 + .quad 0xf5f96f761cd6026c + .quad 0xe8c7142a65b52562 + .quad 0x3dcb65ea53030acd + .quad 0x192ea9550bb8245a + .quad 0xc8e6fba88f9050d1 + .quad 0x7986ea2d88a4c935 + .quad 0x241c5f91de018668 + .quad 0x28d8172940de6caa + .quad 0x8fbf2cf022d9733a + .quad 0x16d7fcdd235b01d1 + .quad 0x08420edd5fcdf0e5 + + // 2^112 * 4 * G + + .quad 0xcdff20ab8362fa4a + .quad 0x57e118d4e21a3e6e + .quad 0xe3179617fc39e62b + .quad 0x0d9a53efbc1769fd + .quad 0x0358c34e04f410ce + .quad 0xb6135b5a276e0685 + .quad 0x5d9670c7ebb91521 + .quad 0x04d654f321db889c + .quad 0x5e7dc116ddbdb5d5 + .quad 0x2954deb68da5dd2d + .quad 0x1cb608173334a292 + .quad 0x4a7a4f2618991ad7 + + // 2^112 * 5 * G + + .quad 0xf4a718025fb15f95 + .quad 0x3df65f346b5c1b8f + .quad 0xcdfcf08500e01112 + .quad 0x11b50c4cddd31848 + .quad 0x24c3b291af372a4b + .quad 0x93da8270718147f2 + .quad 0xdd84856486899ef2 + .quad 0x4a96314223e0ee33 + .quad 0xa6e8274408a4ffd6 + .quad 0x738e177e9c1576d9 + .quad 0x773348b63d02b3f2 + .quad 0x4f4bce4dce6bcc51 + + // 2^112 * 6 * G + + .quad 0xa71fce5ae2242584 + .quad 0x26ea725692f58a9e + .quad 0xd21a09d71cea3cf4 + .quad 0x73fcdd14b71c01e6 + .quad 0x30e2616ec49d0b6f + .quad 0xe456718fcaec2317 + .quad 0x48eb409bf26b4fa6 + .quad 0x3042cee561595f37 + .quad 0x427e7079449bac41 + .quad 0x855ae36dbce2310a + .quad 0x4cae76215f841a7c + .quad 0x389e740c9a9ce1d6 + + // 2^112 * 7 * G + + .quad 0x64fcb3ae34dcb9ce + .quad 0x97500323e348d0ad + .quad 0x45b3f07d62c6381b + .quad 0x61545379465a6788 + .quad 0xc9bd78f6570eac28 + .quad 0xe55b0b3227919ce1 + .quad 0x65fc3eaba19b91ed + .quad 0x25c425e5d6263690 + .quad 0x3f3e06a6f1d7de6e + .quad 0x3ef976278e062308 + .quad 0x8c14f6264e8a6c77 + .quad 0x6539a08915484759 + + // 2^112 * 8 * G + + .quad 0xe9d21f74c3d2f773 + .quad 0xc150544125c46845 + .quad 0x624e5ce8f9b99e33 + .quad 0x11c5e4aac5cd186c + .quad 0xddc4dbd414bb4a19 + .quad 0x19b2bc3c98424f8e + .quad 0x48a89fd736ca7169 + .quad 0x0f65320ef019bd90 + .quad 0xd486d1b1cafde0c6 + .quad 0x4f3fe6e3163b5181 + .quad 0x59a8af0dfaf2939a + .quad 0x4cabc7bdec33072a + + // 2^116 * 1 * G + + .quad 0x16faa8fb532f7428 + .quad 0xdbd42ea046a4e272 + .quad 0x5337653b8b9ea480 + .quad 0x4065947223973f03 + .quad 0xf7c0a19c1a54a044 + .quad 0x4a1c5e2477bd9fbb + .quad 0xa6e3ca115af22972 + .quad 0x1819bb953f2e9e0d + .quad 0x498fbb795e042e84 + .quad 0x7d0dd89a7698b714 + .quad 0x8bfb0ba427fe6295 + .quad 0x36ba82e721200524 + + // 2^116 * 2 * G + + .quad 0xd60ecbb74245ec41 + .quad 0xfd9be89e34348716 + .quad 0xc9240afee42284de + .quad 0x4472f648d0531db4 + .quad 0xc8d69d0a57274ed5 + .quad 0x45ba803260804b17 + .quad 0xdf3cda102255dfac + .quad 0x77d221232709b339 + .quad 0x498a6d7064ad94d8 + .quad 0xa5b5c8fd9af62263 + .quad 0x8ca8ed0545c141f4 + .quad 0x2c63bec3662d358c + + // 2^116 * 3 * G + + .quad 0x7fe60d8bea787955 + .quad 0xb9dc117eb5f401b7 + .quad 0x91c7c09a19355cce + .quad 0x22692ef59442bedf + .quad 0x9a518b3a8586f8bf + .quad 0x9ee71af6cbb196f0 + .quad 0xaa0625e6a2385cf2 + .quad 0x1deb2176ddd7c8d1 + .quad 0x8563d19a2066cf6c + .quad 0x401bfd8c4dcc7cd7 + .quad 0xd976a6becd0d8f62 + .quad 0x67cfd773a278b05e + + // 2^116 * 4 * G + + .quad 0x8dec31faef3ee475 + .quad 0x99dbff8a9e22fd92 + .quad 0x512d11594e26cab1 + .quad 0x0cde561eec4310b9 + .quad 0x2d5fa9855a4e586a + .quad 0x65f8f7a449beab7e + .quad 0xaa074dddf21d33d3 + .quad 0x185cba721bcb9dee + .quad 0x93869da3f4e3cb41 + .quad 0xbf0392f540f7977e + .quad 0x026204fcd0463b83 + .quad 0x3ec91a769eec6eed + + // 2^116 * 5 * G + + .quad 0x1e9df75bf78166ad + .quad 0x4dfda838eb0cd7af + .quad 0xba002ed8c1eaf988 + .quad 0x13fedb3e11f33cfc + .quad 0x0fad2fb7b0a3402f + .quad 0x46615ecbfb69f4a8 + .quad 0xf745bcc8c5f8eaa6 + .quad 0x7a5fa8794a94e896 + .quad 0x52958faa13cd67a1 + .quad 0x965ee0818bdbb517 + .quad 0x16e58daa2e8845b3 + .quad 0x357d397d5499da8f + + // 2^116 * 6 * G + + .quad 0x1ebfa05fb0bace6c + .quad 0xc934620c1caf9a1e + .quad 0xcc771cc41d82b61a + .quad 0x2d94a16aa5f74fec + .quad 0x481dacb4194bfbf8 + .quad 0x4d77e3f1bae58299 + .quad 0x1ef4612e7d1372a0 + .quad 0x3a8d867e70ff69e1 + .quad 0x6f58cd5d55aff958 + .quad 0xba3eaa5c75567721 + .quad 0x75c123999165227d + .quad 0x69be1343c2f2b35e + + // 2^116 * 7 * G + + .quad 0x0e091d5ee197c92a + .quad 0x4f51019f2945119f + .quad 0x143679b9f034e99c + .quad 0x7d88112e4d24c696 + .quad 0x82bbbdac684b8de3 + .quad 0xa2f4c7d03fca0718 + .quad 0x337f92fbe096aaa8 + .quad 0x200d4d8c63587376 + .quad 0x208aed4b4893b32b + .quad 0x3efbf23ebe59b964 + .quad 0xd762deb0dba5e507 + .quad 0x69607bd681bd9d94 + + // 2^116 * 8 * G + + .quad 0xf6be021068de1ce1 + .quad 0xe8d518e70edcbc1f + .quad 0xe3effdd01b5505a5 + .quad 0x35f63353d3ec3fd0 + .quad 0x3b7f3bd49323a902 + .quad 0x7c21b5566b2c6e53 + .quad 0xe5ba8ff53a7852a7 + .quad 0x28bc77a5838ece00 + .quad 0x63ba78a8e25d8036 + .quad 0x63651e0094333490 + .quad 0x48d82f20288ce532 + .quad 0x3a31abfa36b57524 + + // 2^120 * 1 * G + + .quad 0x239e9624089c0a2e + .quad 0xc748c4c03afe4738 + .quad 0x17dbed2a764fa12a + .quad 0x639b93f0321c8582 + .quad 0xc08f788f3f78d289 + .quad 0xfe30a72ca1404d9f + .quad 0xf2778bfccf65cc9d + .quad 0x7ee498165acb2021 + .quad 0x7bd508e39111a1c3 + .quad 0x2b2b90d480907489 + .quad 0xe7d2aec2ae72fd19 + .quad 0x0edf493c85b602a6 + + // 2^120 * 2 * G + + .quad 0xaecc8158599b5a68 + .quad 0xea574f0febade20e + .quad 0x4fe41d7422b67f07 + .quad 0x403b92e3019d4fb4 + .quad 0x6767c4d284764113 + .quad 0xa090403ff7f5f835 + .quad 0x1c8fcffacae6bede + .quad 0x04c00c54d1dfa369 + .quad 0x4dc22f818b465cf8 + .quad 0x71a0f35a1480eff8 + .quad 0xaee8bfad04c7d657 + .quad 0x355bb12ab26176f4 + + // 2^120 * 3 * G + + .quad 0xa71e64cc7493bbf4 + .quad 0xe5bd84d9eca3b0c3 + .quad 0x0a6bc50cfa05e785 + .quad 0x0f9b8132182ec312 + .quad 0xa301dac75a8c7318 + .quad 0xed90039db3ceaa11 + .quad 0x6f077cbf3bae3f2d + .quad 0x7518eaf8e052ad8e + .quad 0xa48859c41b7f6c32 + .quad 0x0f2d60bcf4383298 + .quad 0x1815a929c9b1d1d9 + .quad 0x47c3871bbb1755c4 + + // 2^120 * 4 * G + + .quad 0x5144539771ec4f48 + .quad 0xf805b17dc98c5d6e + .quad 0xf762c11a47c3c66b + .quad 0x00b89b85764699dc + .quad 0xfbe65d50c85066b0 + .quad 0x62ecc4b0b3a299b0 + .quad 0xe53754ea441ae8e0 + .quad 0x08fea02ce8d48d5f + .quad 0x824ddd7668deead0 + .quad 0xc86445204b685d23 + .quad 0xb514cfcd5d89d665 + .quad 0x473829a74f75d537 + + // 2^120 * 5 * G + + .quad 0x82d2da754679c418 + .quad 0xe63bd7d8b2618df0 + .quad 0x355eef24ac47eb0a + .quad 0x2078684c4833c6b4 + .quad 0x23d9533aad3902c9 + .quad 0x64c2ddceef03588f + .quad 0x15257390cfe12fb4 + .quad 0x6c668b4d44e4d390 + .quad 0x3b48cf217a78820c + .quad 0xf76a0ab281273e97 + .quad 0xa96c65a78c8eed7b + .quad 0x7411a6054f8a433f + + // 2^120 * 6 * G + + .quad 0x4d659d32b99dc86d + .quad 0x044cdc75603af115 + .quad 0xb34c712cdcc2e488 + .quad 0x7c136574fb8134ff + .quad 0x579ae53d18b175b4 + .quad 0x68713159f392a102 + .quad 0x8455ecba1eef35f5 + .quad 0x1ec9a872458c398f + .quad 0xb8e6a4d400a2509b + .quad 0x9b81d7020bc882b4 + .quad 0x57e7cc9bf1957561 + .quad 0x3add88a5c7cd6460 + + // 2^120 * 7 * G + + .quad 0xab895770b635dcf2 + .quad 0x02dfef6cf66c1fbc + .quad 0x85530268beb6d187 + .quad 0x249929fccc879e74 + .quad 0x85c298d459393046 + .quad 0x8f7e35985ff659ec + .quad 0x1d2ca22af2f66e3a + .quad 0x61ba1131a406a720 + .quad 0xa3d0a0f116959029 + .quad 0x023b6b6cba7ebd89 + .quad 0x7bf15a3e26783307 + .quad 0x5620310cbbd8ece7 + + // 2^120 * 8 * G + + .quad 0x528993434934d643 + .quad 0xb9dbf806a51222f5 + .quad 0x8f6d878fc3f41c22 + .quad 0x37676a2a4d9d9730 + .quad 0x6646b5f477e285d6 + .quad 0x40e8ff676c8f6193 + .quad 0xa6ec7311abb594dd + .quad 0x7ec846f3658cec4d + .quad 0x9b5e8f3f1da22ec7 + .quad 0x130f1d776c01cd13 + .quad 0x214c8fcfa2989fb8 + .quad 0x6daaf723399b9dd5 + + // 2^124 * 1 * G + + .quad 0x591e4a5610628564 + .quad 0x2a4bb87ca8b4df34 + .quad 0xde2a2572e7a38e43 + .quad 0x3cbdabd9fee5046e + .quad 0x81aebbdd2cd13070 + .quad 0x962e4325f85a0e9e + .quad 0xde9391aacadffecb + .quad 0x53177fda52c230e6 + .quad 0xa7bc970650b9de79 + .quad 0x3d12a7fbc301b59b + .quad 0x02652e68d36ae38c + .quad 0x79d739835a6199dc + + // 2^124 * 2 * G + + .quad 0xd9354df64131c1bd + .quad 0x758094a186ec5822 + .quad 0x4464ee12e459f3c2 + .quad 0x6c11fce4cb133282 + .quad 0x21c9d9920d591737 + .quad 0x9bea41d2e9b46cd6 + .quad 0xe20e84200d89bfca + .quad 0x79d99f946eae5ff8 + .quad 0xf17b483568673205 + .quad 0x387deae83caad96c + .quad 0x61b471fd56ffe386 + .quad 0x31741195b745a599 + + // 2^124 * 3 * G + + .quad 0xe8d10190b77a360b + .quad 0x99b983209995e702 + .quad 0xbd4fdff8fa0247aa + .quad 0x2772e344e0d36a87 + .quad 0x17f8ba683b02a047 + .quad 0x50212096feefb6c8 + .quad 0x70139be21556cbe2 + .quad 0x203e44a11d98915b + .quad 0xd6863eba37b9e39f + .quad 0x105bc169723b5a23 + .quad 0x104f6459a65c0762 + .quad 0x567951295b4d38d4 + + // 2^124 * 4 * G + + .quad 0x535fd60613037524 + .quad 0xe210adf6b0fbc26a + .quad 0xac8d0a9b23e990ae + .quad 0x47204d08d72fdbf9 + .quad 0x07242eb30d4b497f + .quad 0x1ef96306b9bccc87 + .quad 0x37950934d8116f45 + .quad 0x05468d6201405b04 + .quad 0x00f565a9f93267de + .quad 0xcecfd78dc0d58e8a + .quad 0xa215e2dcf318e28e + .quad 0x4599ee919b633352 + + // 2^124 * 5 * G + + .quad 0xd3c220ca70e0e76b + .quad 0xb12bea58ea9f3094 + .quad 0x294ddec8c3271282 + .quad 0x0c3539e1a1d1d028 + .quad 0xac746d6b861ae579 + .quad 0x31ab0650f6aea9dc + .quad 0x241d661140256d4c + .quad 0x2f485e853d21a5de + .quad 0x329744839c0833f3 + .quad 0x6fe6257fd2abc484 + .quad 0x5327d1814b358817 + .quad 0x65712585893fe9bc + + // 2^124 * 6 * G + + .quad 0x9c102fb732a61161 + .quad 0xe48e10dd34d520a8 + .quad 0x365c63546f9a9176 + .quad 0x32f6fe4c046f6006 + .quad 0x81c29f1bd708ee3f + .quad 0xddcb5a05ae6407d0 + .quad 0x97aec1d7d2a3eba7 + .quad 0x1590521a91d50831 + .quad 0x40a3a11ec7910acc + .quad 0x9013dff8f16d27ae + .quad 0x1a9720d8abb195d4 + .quad 0x1bb9fe452ea98463 + + // 2^124 * 7 * G + + .quad 0xe9d1d950b3d54f9e + .quad 0x2d5f9cbee00d33c1 + .quad 0x51c2c656a04fc6ac + .quad 0x65c091ee3c1cbcc9 + .quad 0xcf5e6c95cc36747c + .quad 0x294201536b0bc30d + .quad 0x453ac67cee797af0 + .quad 0x5eae6ab32a8bb3c9 + .quad 0x7083661114f118ea + .quad 0x2b37b87b94349cad + .quad 0x7273f51cb4e99f40 + .quad 0x78a2a95823d75698 + + // 2^124 * 8 * G + + .quad 0xa2b072e95c8c2ace + .quad 0x69cffc96651e9c4b + .quad 0x44328ef842e7b42b + .quad 0x5dd996c122aadeb3 + .quad 0xb4f23c425ef83207 + .quad 0xabf894d3c9a934b5 + .quad 0xd0708c1339fd87f7 + .quad 0x1876789117166130 + .quad 0x925b5ef0670c507c + .quad 0x819bc842b93c33bf + .quad 0x10792e9a70dd003f + .quad 0x59ad4b7a6e28dc74 + + // 2^128 * 1 * G + + .quad 0x5f3a7562eb3dbe47 + .quad 0xf7ea38548ebda0b8 + .quad 0x00c3e53145747299 + .quad 0x1304e9e71627d551 + .quad 0x583b04bfacad8ea2 + .quad 0x29b743e8148be884 + .quad 0x2b1e583b0810c5db + .quad 0x2b5449e58eb3bbaa + .quad 0x789814d26adc9cfe + .quad 0x3c1bab3f8b48dd0b + .quad 0xda0fe1fff979c60a + .quad 0x4468de2d7c2dd693 + + // 2^128 * 2 * G + + .quad 0x51bb355e9419469e + .quad 0x33e6dc4c23ddc754 + .quad 0x93a5b6d6447f9962 + .quad 0x6cce7c6ffb44bd63 + .quad 0x4b9ad8c6f86307ce + .quad 0x21113531435d0c28 + .quad 0xd4a866c5657a772c + .quad 0x5da6427e63247352 + .quad 0x1a94c688deac22ca + .quad 0xb9066ef7bbae1ff8 + .quad 0x88ad8c388d59580f + .quad 0x58f29abfe79f2ca8 + + // 2^128 * 3 * G + + .quad 0xe90ecfab8de73e68 + .quad 0x54036f9f377e76a5 + .quad 0xf0495b0bbe015982 + .quad 0x577629c4a7f41e36 + .quad 0x4b5a64bf710ecdf6 + .quad 0xb14ce538462c293c + .quad 0x3643d056d50b3ab9 + .quad 0x6af93724185b4870 + .quad 0x3220024509c6a888 + .quad 0xd2e036134b558973 + .quad 0x83e236233c33289f + .quad 0x701f25bb0caec18f + + // 2^128 * 4 * G + + .quad 0xc3a8b0f8e4616ced + .quad 0xf700660e9e25a87d + .quad 0x61e3061ff4bca59c + .quad 0x2e0c92bfbdc40be9 + .quad 0x9d18f6d97cbec113 + .quad 0x844a06e674bfdbe4 + .quad 0x20f5b522ac4e60d6 + .quad 0x720a5bc050955e51 + .quad 0x0c3f09439b805a35 + .quad 0xe84e8b376242abfc + .quad 0x691417f35c229346 + .quad 0x0e9b9cbb144ef0ec + + // 2^128 * 5 * G + + .quad 0xfbbad48ffb5720ad + .quad 0xee81916bdbf90d0e + .quad 0xd4813152635543bf + .quad 0x221104eb3f337bd8 + .quad 0x8dee9bd55db1beee + .quad 0xc9c3ab370a723fb9 + .quad 0x44a8f1bf1c68d791 + .quad 0x366d44191cfd3cde + .quad 0x9e3c1743f2bc8c14 + .quad 0x2eda26fcb5856c3b + .quad 0xccb82f0e68a7fb97 + .quad 0x4167a4e6bc593244 + + // 2^128 * 6 * G + + .quad 0x643b9d2876f62700 + .quad 0x5d1d9d400e7668eb + .quad 0x1b4b430321fc0684 + .quad 0x7938bb7e2255246a + .quad 0xc2be2665f8ce8fee + .quad 0xe967ff14e880d62c + .quad 0xf12e6e7e2f364eee + .quad 0x34b33370cb7ed2f6 + .quad 0xcdc591ee8681d6cc + .quad 0xce02109ced85a753 + .quad 0xed7485c158808883 + .quad 0x1176fc6e2dfe65e4 + + // 2^128 * 7 * G + + .quad 0xb4af6cd05b9c619b + .quad 0x2ddfc9f4b2a58480 + .quad 0x3d4fa502ebe94dc4 + .quad 0x08fc3a4c677d5f34 + .quad 0xdb90e28949770eb8 + .quad 0x98fbcc2aacf440a3 + .quad 0x21354ffeded7879b + .quad 0x1f6a3e54f26906b6 + .quad 0x60a4c199d30734ea + .quad 0x40c085b631165cd6 + .quad 0xe2333e23f7598295 + .quad 0x4f2fad0116b900d1 + + // 2^128 * 8 * G + + .quad 0x44beb24194ae4e54 + .quad 0x5f541c511857ef6c + .quad 0xa61e6b2d368d0498 + .quad 0x445484a4972ef7ab + .quad 0x962cd91db73bb638 + .quad 0xe60577aafc129c08 + .quad 0x6f619b39f3b61689 + .quad 0x3451995f2944ee81 + .quad 0x9152fcd09fea7d7c + .quad 0x4a816c94b0935cf6 + .quad 0x258e9aaa47285c40 + .quad 0x10b89ca6042893b7 + + // 2^132 * 1 * G + + .quad 0x9b2a426e3b646025 + .quad 0x32127190385ce4cf + .quad 0xa25cffc2dd6dea45 + .quad 0x06409010bea8de75 + .quad 0xd67cded679d34aa0 + .quad 0xcc0b9ec0cc4db39f + .quad 0xa535a456e35d190f + .quad 0x2e05d9eaf61f6fef + .quad 0xc447901ad61beb59 + .quad 0x661f19bce5dc880a + .quad 0x24685482b7ca6827 + .quad 0x293c778cefe07f26 + + // 2^132 * 2 * G + + .quad 0x86809e7007069096 + .quad 0xaad75b15e4e50189 + .quad 0x07f35715a21a0147 + .quad 0x0487f3f112815d5e + .quad 0x16c795d6a11ff200 + .quad 0xcb70d0e2b15815c9 + .quad 0x89f293209b5395b5 + .quad 0x50b8c2d031e47b4f + .quad 0x48350c08068a4962 + .quad 0x6ffdd05351092c9a + .quad 0x17af4f4aaf6fc8dd + .quad 0x4b0553b53cdba58b + + // 2^132 * 3 * G + + .quad 0x9c65fcbe1b32ff79 + .quad 0xeb75ea9f03b50f9b + .quad 0xfced2a6c6c07e606 + .quad 0x35106cd551717908 + .quad 0xbf05211b27c152d4 + .quad 0x5ec26849bd1af639 + .quad 0x5e0b2caa8e6fab98 + .quad 0x054c8bdd50bd0840 + .quad 0x38a0b12f1dcf073d + .quad 0x4b60a8a3b7f6a276 + .quad 0xfed5ac25d3404f9a + .quad 0x72e82d5e5505c229 + + // 2^132 * 4 * G + + .quad 0x6b0b697ff0d844c8 + .quad 0xbb12f85cd979cb49 + .quad 0xd2a541c6c1da0f1f + .quad 0x7b7c242958ce7211 + .quad 0x00d9cdfd69771d02 + .quad 0x410276cd6cfbf17e + .quad 0x4c45306c1cb12ec7 + .quad 0x2857bf1627500861 + .quad 0x9f21903f0101689e + .quad 0xd779dfd3bf861005 + .quad 0xa122ee5f3deb0f1b + .quad 0x510df84b485a00d4 + + // 2^132 * 5 * G + + .quad 0xa54133bb9277a1fa + .quad 0x74ec3b6263991237 + .quad 0x1a3c54dc35d2f15a + .quad 0x2d347144e482ba3a + .quad 0x24b3c887c70ac15e + .quad 0xb0f3a557fb81b732 + .quad 0x9b2cde2fe578cc1b + .quad 0x4cf7ed0703b54f8e + .quad 0x6bd47c6598fbee0f + .quad 0x9e4733e2ab55be2d + .quad 0x1093f624127610c5 + .quad 0x4e05e26ad0a1eaa4 + + // 2^132 * 6 * G + + .quad 0xda9b6b624b531f20 + .quad 0x429a760e77509abb + .quad 0xdbe9f522e823cb80 + .quad 0x618f1856880c8f82 + .quad 0x1833c773e18fe6c0 + .quad 0xe3c4711ad3c87265 + .quad 0x3bfd3c4f0116b283 + .quad 0x1955875eb4cd4db8 + .quad 0x6da6de8f0e399799 + .quad 0x7ad61aa440fda178 + .quad 0xb32cd8105e3563dd + .quad 0x15f6beae2ae340ae + + // 2^132 * 7 * G + + .quad 0x862bcb0c31ec3a62 + .quad 0x810e2b451138f3c2 + .quad 0x788ec4b839dac2a4 + .quad 0x28f76867ae2a9281 + .quad 0xba9a0f7b9245e215 + .quad 0xf368612dd98c0dbb + .quad 0x2e84e4cbf220b020 + .quad 0x6ba92fe962d90eda + .quad 0x3e4df9655884e2aa + .quad 0xbd62fbdbdbd465a5 + .quad 0xd7596caa0de9e524 + .quad 0x6e8042ccb2b1b3d7 + + // 2^132 * 8 * G + + .quad 0xf10d3c29ce28ca6e + .quad 0xbad34540fcb6093d + .quad 0xe7426ed7a2ea2d3f + .quad 0x08af9d4e4ff298b9 + .quad 0x1530653616521f7e + .quad 0x660d06b896203dba + .quad 0x2d3989bc545f0879 + .quad 0x4b5303af78ebd7b0 + .quad 0x72f8a6c3bebcbde8 + .quad 0x4f0fca4adc3a8e89 + .quad 0x6fa9d4e8c7bfdf7a + .quad 0x0dcf2d679b624eb7 + + // 2^136 * 1 * G + + .quad 0x3d5947499718289c + .quad 0x12ebf8c524533f26 + .quad 0x0262bfcb14c3ef15 + .quad 0x20b878d577b7518e + .quad 0x753941be5a45f06e + .quad 0xd07caeed6d9c5f65 + .quad 0x11776b9c72ff51b6 + .quad 0x17d2d1d9ef0d4da9 + .quad 0x27f2af18073f3e6a + .quad 0xfd3fe519d7521069 + .quad 0x22e3b72c3ca60022 + .quad 0x72214f63cc65c6a7 + + // 2^136 * 2 * G + + .quad 0xb4e37f405307a693 + .quad 0xaba714d72f336795 + .quad 0xd6fbd0a773761099 + .quad 0x5fdf48c58171cbc9 + .quad 0x1d9db7b9f43b29c9 + .quad 0xd605824a4f518f75 + .quad 0xf2c072bd312f9dc4 + .quad 0x1f24ac855a1545b0 + .quad 0x24d608328e9505aa + .quad 0x4748c1d10c1420ee + .quad 0xc7ffe45c06fb25a2 + .quad 0x00ba739e2ae395e6 + + // 2^136 * 3 * G + + .quad 0x592e98de5c8790d6 + .quad 0xe5bfb7d345c2a2df + .quad 0x115a3b60f9b49922 + .quad 0x03283a3e67ad78f3 + .quad 0xae4426f5ea88bb26 + .quad 0x360679d984973bfb + .quad 0x5c9f030c26694e50 + .quad 0x72297de7d518d226 + .quad 0x48241dc7be0cb939 + .quad 0x32f19b4d8b633080 + .quad 0xd3dfc90d02289308 + .quad 0x05e1296846271945 + + // 2^136 * 4 * G + + .quad 0xba82eeb32d9c495a + .quad 0xceefc8fcf12bb97c + .quad 0xb02dabae93b5d1e0 + .quad 0x39c00c9c13698d9b + .quad 0xadbfbbc8242c4550 + .quad 0xbcc80cecd03081d9 + .quad 0x843566a6f5c8df92 + .quad 0x78cf25d38258ce4c + .quad 0x15ae6b8e31489d68 + .quad 0xaa851cab9c2bf087 + .quad 0xc9a75a97f04efa05 + .quad 0x006b52076b3ff832 + + // 2^136 * 5 * G + + .quad 0x29e0cfe19d95781c + .quad 0xb681df18966310e2 + .quad 0x57df39d370516b39 + .quad 0x4d57e3443bc76122 + .quad 0xf5cb7e16b9ce082d + .quad 0x3407f14c417abc29 + .quad 0xd4b36bce2bf4a7ab + .quad 0x7de2e9561a9f75ce + .quad 0xde70d4f4b6a55ecb + .quad 0x4801527f5d85db99 + .quad 0xdbc9c440d3ee9a81 + .quad 0x6b2a90af1a6029ed + + // 2^136 * 6 * G + + .quad 0x6923f4fc9ae61e97 + .quad 0x5735281de03f5fd1 + .quad 0xa764ae43e6edd12d + .quad 0x5fd8f4e9d12d3e4a + .quad 0x77ebf3245bb2d80a + .quad 0xd8301b472fb9079b + .quad 0xc647e6f24cee7333 + .quad 0x465812c8276c2109 + .quad 0x4d43beb22a1062d9 + .quad 0x7065fb753831dc16 + .quad 0x180d4a7bde2968d7 + .quad 0x05b32c2b1cb16790 + + // 2^136 * 7 * G + + .quad 0xc8c05eccd24da8fd + .quad 0xa1cf1aac05dfef83 + .quad 0xdbbeeff27df9cd61 + .quad 0x3b5556a37b471e99 + .quad 0xf7fca42c7ad58195 + .quad 0x3214286e4333f3cc + .quad 0xb6c29d0d340b979d + .quad 0x31771a48567307e1 + .quad 0x32b0c524e14dd482 + .quad 0xedb351541a2ba4b6 + .quad 0xa3d16048282b5af3 + .quad 0x4fc079d27a7336eb + + // 2^136 * 8 * G + + .quad 0x51c938b089bf2f7f + .quad 0x2497bd6502dfe9a7 + .quad 0xffffc09c7880e453 + .quad 0x124567cecaf98e92 + .quad 0xdc348b440c86c50d + .quad 0x1337cbc9cc94e651 + .quad 0x6422f74d643e3cb9 + .quad 0x241170c2bae3cd08 + .quad 0x3ff9ab860ac473b4 + .quad 0xf0911dee0113e435 + .quad 0x4ae75060ebc6c4af + .quad 0x3f8612966c87000d + + // 2^140 * 1 * G + + .quad 0x0c9c5303f7957be4 + .quad 0xa3c31a20e085c145 + .quad 0xb0721d71d0850050 + .quad 0x0aba390eab0bf2da + .quad 0x529fdffe638c7bf3 + .quad 0xdf2b9e60388b4995 + .quad 0xe027b34f1bad0249 + .quad 0x7bc92fc9b9fa74ed + .quad 0x9f97ef2e801ad9f9 + .quad 0x83697d5479afda3a + .quad 0xe906b3ffbd596b50 + .quad 0x02672b37dd3fb8e0 + + // 2^140 * 2 * G + + .quad 0x48b2ca8b260885e4 + .quad 0xa4286bec82b34c1c + .quad 0x937e1a2617f58f74 + .quad 0x741d1fcbab2ca2a5 + .quad 0xee9ba729398ca7f5 + .quad 0xeb9ca6257a4849db + .quad 0x29eb29ce7ec544e1 + .quad 0x232ca21ef736e2c8 + .quad 0xbf61423d253fcb17 + .quad 0x08803ceafa39eb14 + .quad 0xf18602df9851c7af + .quad 0x0400f3a049e3414b + + // 2^140 * 3 * G + + .quad 0xabce0476ba61c55b + .quad 0x36a3d6d7c4d39716 + .quad 0x6eb259d5e8d82d09 + .quad 0x0c9176e984d756fb + .quad 0x2efba412a06e7b06 + .quad 0x146785452c8d2560 + .quad 0xdf9713ebd67a91c7 + .quad 0x32830ac7157eadf3 + .quad 0x0e782a7ab73769e8 + .quad 0x04a05d7875b18e2c + .quad 0x29525226ebcceae1 + .quad 0x0d794f8383eba820 + + // 2^140 * 4 * G + + .quad 0xff35f5cb9e1516f4 + .quad 0xee805bcf648aae45 + .quad 0xf0d73c2bb93a9ef3 + .quad 0x097b0bf22092a6c2 + .quad 0x7be44ce7a7a2e1ac + .quad 0x411fd93efad1b8b7 + .quad 0x1734a1d70d5f7c9b + .quad 0x0d6592233127db16 + .quad 0xc48bab1521a9d733 + .quad 0xa6c2eaead61abb25 + .quad 0x625c6c1cc6cb4305 + .quad 0x7fc90fea93eb3a67 + + // 2^140 * 5 * G + + .quad 0x0408f1fe1f5c5926 + .quad 0x1a8f2f5e3b258bf4 + .quad 0x40a951a2fdc71669 + .quad 0x6598ee93c98b577e + .quad 0xc527deb59c7cb23d + .quad 0x955391695328404e + .quad 0xd64392817ccf2c7a + .quad 0x6ce97dabf7d8fa11 + .quad 0x25b5a8e50ef7c48f + .quad 0xeb6034116f2ce532 + .quad 0xc5e75173e53de537 + .quad 0x73119fa08c12bb03 + + // 2^140 * 6 * G + + .quad 0xed30129453f1a4cb + .quad 0xbce621c9c8f53787 + .quad 0xfacb2b1338bee7b9 + .quad 0x3025798a9ea8428c + .quad 0x7845b94d21f4774d + .quad 0xbf62f16c7897b727 + .quad 0x671857c03c56522b + .quad 0x3cd6a85295621212 + .quad 0x3fecde923aeca999 + .quad 0xbdaa5b0062e8c12f + .quad 0x67b99dfc96988ade + .quad 0x3f52c02852661036 + + // 2^140 * 7 * G + + .quad 0xffeaa48e2a1351c6 + .quad 0x28624754fa7f53d7 + .quad 0x0b5ba9e57582ddf1 + .quad 0x60c0104ba696ac59 + .quad 0x9258bf99eec416c6 + .quad 0xac8a5017a9d2f671 + .quad 0x629549ab16dea4ab + .quad 0x05d0e85c99091569 + .quad 0x051de020de9cbe97 + .quad 0xfa07fc56b50bcf74 + .quad 0x378cec9f0f11df65 + .quad 0x36853c69ab96de4d + + // 2^140 * 8 * G + + .quad 0x36d9b8de78f39b2d + .quad 0x7f42ed71a847b9ec + .quad 0x241cd1d679bd3fde + .quad 0x6a704fec92fbce6b + .quad 0x4433c0b0fac5e7be + .quad 0x724bae854c08dcbe + .quad 0xf1f24cc446978f9b + .quad 0x4a0aff6d62825fc8 + .quad 0xe917fb9e61095301 + .quad 0xc102df9402a092f8 + .quad 0xbf09e2f5fa66190b + .quad 0x681109bee0dcfe37 + + // 2^144 * 1 * G + + .quad 0x559a0cc9782a0dde + .quad 0x551dcdb2ea718385 + .quad 0x7f62865b31ef238c + .quad 0x504aa7767973613d + .quad 0x9c18fcfa36048d13 + .quad 0x29159db373899ddd + .quad 0xdc9f350b9f92d0aa + .quad 0x26f57eee878a19d4 + .quad 0x0cab2cd55687efb1 + .quad 0x5180d162247af17b + .quad 0x85c15a344f5a2467 + .quad 0x4041943d9dba3069 + + // 2^144 * 2 * G + + .quad 0xc3c0eeba43ebcc96 + .quad 0x8d749c9c26ea9caf + .quad 0xd9fa95ee1c77ccc6 + .quad 0x1420a1d97684340f + .quad 0x4b217743a26caadd + .quad 0x47a6b424648ab7ce + .quad 0xcb1d4f7a03fbc9e3 + .quad 0x12d931429800d019 + .quad 0x00c67799d337594f + .quad 0x5e3c5140b23aa47b + .quad 0x44182854e35ff395 + .quad 0x1b4f92314359a012 + + // 2^144 * 3 * G + + .quad 0x3e5c109d89150951 + .quad 0x39cefa912de9696a + .quad 0x20eae43f975f3020 + .quad 0x239b572a7f132dae + .quad 0x33cf3030a49866b1 + .quad 0x251f73d2215f4859 + .quad 0xab82aa4051def4f6 + .quad 0x5ff191d56f9a23f6 + .quad 0x819ed433ac2d9068 + .quad 0x2883ab795fc98523 + .quad 0xef4572805593eb3d + .quad 0x020c526a758f36cb + + // 2^144 * 4 * G + + .quad 0x779834f89ed8dbbc + .quad 0xc8f2aaf9dc7ca46c + .quad 0xa9524cdca3e1b074 + .quad 0x02aacc4615313877 + .quad 0xe931ef59f042cc89 + .quad 0x2c589c9d8e124bb6 + .quad 0xadc8e18aaec75997 + .quad 0x452cfe0a5602c50c + .quad 0x86a0f7a0647877df + .quad 0xbbc464270e607c9f + .quad 0xab17ea25f1fb11c9 + .quad 0x4cfb7d7b304b877b + + // 2^144 * 5 * G + + .quad 0x72b43d6cb89b75fe + .quad 0x54c694d99c6adc80 + .quad 0xb8c3aa373ee34c9f + .quad 0x14b4622b39075364 + .quad 0xe28699c29789ef12 + .quad 0x2b6ecd71df57190d + .quad 0xc343c857ecc970d0 + .quad 0x5b1d4cbc434d3ac5 + .quad 0xb6fb2615cc0a9f26 + .quad 0x3a4f0e2bb88dcce5 + .quad 0x1301498b3369a705 + .quad 0x2f98f71258592dd1 + + // 2^144 * 6 * G + + .quad 0x0c94a74cb50f9e56 + .quad 0x5b1ff4a98e8e1320 + .quad 0x9a2acc2182300f67 + .quad 0x3a6ae249d806aaf9 + .quad 0x2e12ae444f54a701 + .quad 0xfcfe3ef0a9cbd7de + .quad 0xcebf890d75835de0 + .quad 0x1d8062e9e7614554 + .quad 0x657ada85a9907c5a + .quad 0x1a0ea8b591b90f62 + .quad 0x8d0e1dfbdf34b4e9 + .quad 0x298b8ce8aef25ff3 + + // 2^144 * 7 * G + + .quad 0x2a927953eff70cb2 + .quad 0x4b89c92a79157076 + .quad 0x9418457a30a7cf6a + .quad 0x34b8a8404d5ce485 + .quad 0x837a72ea0a2165de + .quad 0x3fab07b40bcf79f6 + .quad 0x521636c77738ae70 + .quad 0x6ba6271803a7d7dc + .quad 0xc26eecb583693335 + .quad 0xd5a813df63b5fefd + .quad 0xa293aa9aa4b22573 + .quad 0x71d62bdd465e1c6a + + // 2^144 * 8 * G + + .quad 0x6533cc28d378df80 + .quad 0xf6db43790a0fa4b4 + .quad 0xe3645ff9f701da5a + .quad 0x74d5f317f3172ba4 + .quad 0xcd2db5dab1f75ef5 + .quad 0xd77f95cf16b065f5 + .quad 0x14571fea3f49f085 + .quad 0x1c333621262b2b3d + .quad 0xa86fe55467d9ca81 + .quad 0x398b7c752b298c37 + .quad 0xda6d0892e3ac623b + .quad 0x4aebcc4547e9d98c + + // 2^148 * 1 * G + + .quad 0x53175a7205d21a77 + .quad 0xb0c04422d3b934d4 + .quad 0xadd9f24bdd5deadc + .quad 0x074f46e69f10ff8c + .quad 0x0de9b204a059a445 + .quad 0xe15cb4aa4b17ad0f + .quad 0xe1bbec521f79c557 + .quad 0x2633f1b9d071081b + .quad 0xc1fb4177018b9910 + .quad 0xa6ea20dc6c0fe140 + .quad 0xd661f3e74354c6ff + .quad 0x5ecb72e6f1a3407a + + // 2^148 * 2 * G + + .quad 0xa515a31b2259fb4e + .quad 0x0960f3972bcac52f + .quad 0xedb52fec8d3454cb + .quad 0x382e2720c476c019 + .quad 0xfeeae106e8e86997 + .quad 0x9863337f98d09383 + .quad 0x9470480eaa06ebef + .quad 0x038b6898d4c5c2d0 + .quad 0xf391c51d8ace50a6 + .quad 0x3142d0b9ae2d2948 + .quad 0xdb4d5a1a7f24ca80 + .quad 0x21aeba8b59250ea8 + + // 2^148 * 3 * G + + .quad 0x24f13b34cf405530 + .quad 0x3c44ea4a43088af7 + .quad 0x5dd5c5170006a482 + .quad 0x118eb8f8890b086d + .quad 0x53853600f0087f23 + .quad 0x4c461879da7d5784 + .quad 0x6af303deb41f6860 + .quad 0x0a3c16c5c27c18ed + .quad 0x17e49c17cc947f3d + .quad 0xccc6eda6aac1d27b + .quad 0xdf6092ceb0f08e56 + .quad 0x4909b3e22c67c36b + + // 2^148 * 4 * G + + .quad 0x9c9c85ea63fe2e89 + .quad 0xbe1baf910e9412ec + .quad 0x8f7baa8a86fbfe7b + .quad 0x0fb17f9fef968b6c + .quad 0x59a16676706ff64e + .quad 0x10b953dd0d86a53d + .quad 0x5848e1e6ce5c0b96 + .quad 0x2d8b78e712780c68 + .quad 0x79d5c62eafc3902b + .quad 0x773a215289e80728 + .quad 0xc38ae640e10120b9 + .quad 0x09ae23717b2b1a6d + + // 2^148 * 5 * G + + .quad 0xbb6a192a4e4d083c + .quad 0x34ace0630029e192 + .quad 0x98245a59aafabaeb + .quad 0x6d9c8a9ada97faac + .quad 0x10ab8fa1ad32b1d0 + .quad 0xe9aced1be2778b24 + .quad 0xa8856bc0373de90f + .quad 0x66f35ddddda53996 + .quad 0xd27d9afb24997323 + .quad 0x1bb7e07ef6f01d2e + .quad 0x2ba7472df52ecc7f + .quad 0x03019b4f646f9dc8 + + // 2^148 * 6 * G + + .quad 0x04a186b5565345cd + .quad 0xeee76610bcc4116a + .quad 0x689c73b478fb2a45 + .quad 0x387dcbff65697512 + .quad 0xaf09b214e6b3dc6b + .quad 0x3f7573b5ad7d2f65 + .quad 0xd019d988100a23b0 + .quad 0x392b63a58b5c35f7 + .quad 0x4093addc9c07c205 + .quad 0xc565be15f532c37e + .quad 0x63dbecfd1583402a + .quad 0x61722b4aef2e032e + + // 2^148 * 7 * G + + .quad 0x0012aafeecbd47af + .quad 0x55a266fb1cd46309 + .quad 0xf203eb680967c72c + .quad 0x39633944ca3c1429 + .quad 0xd6b07a5581cb0e3c + .quad 0x290ff006d9444969 + .quad 0x08680b6a16dcda1f + .quad 0x5568d2b75a06de59 + .quad 0x8d0cb88c1b37cfe1 + .quad 0x05b6a5a3053818f3 + .quad 0xf2e9bc04b787d959 + .quad 0x6beba1249add7f64 + + // 2^148 * 8 * G + + .quad 0x1d06005ca5b1b143 + .quad 0x6d4c6bb87fd1cda2 + .quad 0x6ef5967653fcffe7 + .quad 0x097c29e8c1ce1ea5 + .quad 0x5c3cecb943f5a53b + .quad 0x9cc9a61d06c08df2 + .quad 0xcfba639a85895447 + .quad 0x5a845ae80df09fd5 + .quad 0x4ce97dbe5deb94ca + .quad 0x38d0a4388c709c48 + .quad 0xc43eced4a169d097 + .quad 0x0a1249fff7e587c3 + + // 2^152 * 1 * G + + .quad 0x12f0071b276d01c9 + .quad 0xe7b8bac586c48c70 + .quad 0x5308129b71d6fba9 + .quad 0x5d88fbf95a3db792 + .quad 0x0b408d9e7354b610 + .quad 0x806b32535ba85b6e + .quad 0xdbe63a034a58a207 + .quad 0x173bd9ddc9a1df2c + .quad 0x2b500f1efe5872df + .quad 0x58d6582ed43918c1 + .quad 0xe6ed278ec9673ae0 + .quad 0x06e1cd13b19ea319 + + // 2^152 * 2 * G + + .quad 0x40d0ad516f166f23 + .quad 0x118e32931fab6abe + .quad 0x3fe35e14a04d088e + .quad 0x3080603526e16266 + .quad 0x472baf629e5b0353 + .quad 0x3baa0b90278d0447 + .quad 0x0c785f469643bf27 + .quad 0x7f3a6a1a8d837b13 + .quad 0xf7e644395d3d800b + .quad 0x95a8d555c901edf6 + .quad 0x68cd7830592c6339 + .quad 0x30d0fded2e51307e + + // 2^152 * 3 * G + + .quad 0xe0594d1af21233b3 + .quad 0x1bdbe78ef0cc4d9c + .quad 0x6965187f8f499a77 + .quad 0x0a9214202c099868 + .quad 0x9cb4971e68b84750 + .quad 0xa09572296664bbcf + .quad 0x5c8de72672fa412b + .quad 0x4615084351c589d9 + .quad 0xbc9019c0aeb9a02e + .quad 0x55c7110d16034cae + .quad 0x0e6df501659932ec + .quad 0x3bca0d2895ca5dfe + + // 2^152 * 4 * G + + .quad 0x40f031bc3c5d62a4 + .quad 0x19fc8b3ecff07a60 + .quad 0x98183da2130fb545 + .quad 0x5631deddae8f13cd + .quad 0x9c688eb69ecc01bf + .quad 0xf0bc83ada644896f + .quad 0xca2d955f5f7a9fe2 + .quad 0x4ea8b4038df28241 + .quad 0x2aed460af1cad202 + .quad 0x46305305a48cee83 + .quad 0x9121774549f11a5f + .quad 0x24ce0930542ca463 + + // 2^152 * 5 * G + + .quad 0x1fe890f5fd06c106 + .quad 0xb5c468355d8810f2 + .quad 0x827808fe6e8caf3e + .quad 0x41d4e3c28a06d74b + .quad 0x3fcfa155fdf30b85 + .quad 0xd2f7168e36372ea4 + .quad 0xb2e064de6492f844 + .quad 0x549928a7324f4280 + .quad 0xf26e32a763ee1a2e + .quad 0xae91e4b7d25ffdea + .quad 0xbc3bd33bd17f4d69 + .quad 0x491b66dec0dcff6a + + // 2^152 * 6 * G + + .quad 0x98f5b13dc7ea32a7 + .quad 0xe3d5f8cc7e16db98 + .quad 0xac0abf52cbf8d947 + .quad 0x08f338d0c85ee4ac + .quad 0x75f04a8ed0da64a1 + .quad 0xed222caf67e2284b + .quad 0x8234a3791f7b7ba4 + .quad 0x4cf6b8b0b7018b67 + .quad 0xc383a821991a73bd + .quad 0xab27bc01df320c7a + .quad 0xc13d331b84777063 + .quad 0x530d4a82eb078a99 + + // 2^152 * 7 * G + + .quad 0x004c3630e1f94825 + .quad 0x7e2d78268cab535a + .quad 0xc7482323cc84ff8b + .quad 0x65ea753f101770b9 + .quad 0x6d6973456c9abf9e + .quad 0x257fb2fc4900a880 + .quad 0x2bacf412c8cfb850 + .quad 0x0db3e7e00cbfbd5b + .quad 0x3d66fc3ee2096363 + .quad 0x81d62c7f61b5cb6b + .quad 0x0fbe044213443b1a + .quad 0x02a4ec1921e1a1db + + // 2^152 * 8 * G + + .quad 0x5ce6259a3b24b8a2 + .quad 0xb8577acc45afa0b8 + .quad 0xcccbe6e88ba07037 + .quad 0x3d143c51127809bf + .quad 0xf5c86162f1cf795f + .quad 0x118c861926ee57f2 + .quad 0x172124851c063578 + .quad 0x36d12b5dec067fcf + .quad 0x126d279179154557 + .quad 0xd5e48f5cfc783a0a + .quad 0x36bdb6e8df179bac + .quad 0x2ef517885ba82859 + + // 2^156 * 1 * G + + .quad 0x88bd438cd11e0d4a + .quad 0x30cb610d43ccf308 + .quad 0xe09a0e3791937bcc + .quad 0x4559135b25b1720c + .quad 0x1ea436837c6da1e9 + .quad 0xf9c189af1fb9bdbe + .quad 0x303001fcce5dd155 + .quad 0x28a7c99ebc57be52 + .quad 0xb8fd9399e8d19e9d + .quad 0x908191cb962423ff + .quad 0xb2b948d747c742a3 + .quad 0x37f33226d7fb44c4 + + // 2^156 * 2 * G + + .quad 0x0dae8767b55f6e08 + .quad 0x4a43b3b35b203a02 + .quad 0xe3725a6e80af8c79 + .quad 0x0f7a7fd1705fa7a3 + .quad 0x33912553c821b11d + .quad 0x66ed42c241e301df + .quad 0x066fcc11104222fd + .quad 0x307a3b41c192168f + .quad 0x8eeb5d076eb55ce0 + .quad 0x2fc536bfaa0d925a + .quad 0xbe81830fdcb6c6e8 + .quad 0x556c7045827baf52 + + // 2^156 * 3 * G + + .quad 0x8e2b517302e9d8b7 + .quad 0xe3e52269248714e8 + .quad 0xbd4fbd774ca960b5 + .quad 0x6f4b4199c5ecada9 + .quad 0xb94b90022bf44406 + .quad 0xabd4237eff90b534 + .quad 0x7600a960faf86d3a + .quad 0x2f45abdac2322ee3 + .quad 0x61af4912c8ef8a6a + .quad 0xe58fa4fe43fb6e5e + .quad 0xb5afcc5d6fd427cf + .quad 0x6a5393281e1e11eb + + // 2^156 * 4 * G + + .quad 0xf3da5139a5d1ee89 + .quad 0x8145457cff936988 + .quad 0x3f622fed00e188c4 + .quad 0x0f513815db8b5a3d + .quad 0x0fff04fe149443cf + .quad 0x53cac6d9865cddd7 + .quad 0x31385b03531ed1b7 + .quad 0x5846a27cacd1039d + .quad 0x4ff5cdac1eb08717 + .quad 0x67e8b29590f2e9bc + .quad 0x44093b5e237afa99 + .quad 0x0d414bed8708b8b2 + + // 2^156 * 5 * G + + .quad 0xcfb68265fd0e75f6 + .quad 0xe45b3e28bb90e707 + .quad 0x7242a8de9ff92c7a + .quad 0x685b3201933202dd + .quad 0x81886a92294ac9e8 + .quad 0x23162b45d55547be + .quad 0x94cfbc4403715983 + .quad 0x50eb8fdb134bc401 + .quad 0xc0b73ec6d6b330cd + .quad 0x84e44807132faff1 + .quad 0x732b7352c4a5dee1 + .quad 0x5d7c7cf1aa7cd2d2 + + // 2^156 * 6 * G + + .quad 0xaf3b46bf7a4aafa2 + .quad 0xb78705ec4d40d411 + .quad 0x114f0c6aca7c15e3 + .quad 0x3f364faaa9489d4d + .quad 0x33d1013e9b73a562 + .quad 0x925cef5748ec26e1 + .quad 0xa7fce614dd468058 + .quad 0x78b0fad41e9aa438 + .quad 0xbf56a431ed05b488 + .quad 0xa533e66c9c495c7e + .quad 0xe8652baf87f3651a + .quad 0x0241800059d66c33 + + // 2^156 * 7 * G + + .quad 0xceb077fea37a5be4 + .quad 0xdb642f02e5a5eeb7 + .quad 0xc2e6d0c5471270b8 + .quad 0x4771b65538e4529c + .quad 0x28350c7dcf38ea01 + .quad 0x7c6cdbc0b2917ab6 + .quad 0xace7cfbe857082f7 + .quad 0x4d2845aba2d9a1e0 + .quad 0xbb537fe0447070de + .quad 0xcba744436dd557df + .quad 0xd3b5a3473600dbcb + .quad 0x4aeabbe6f9ffd7f8 + + // 2^156 * 8 * G + + .quad 0x4630119e40d8f78c + .quad 0xa01a9bc53c710e11 + .quad 0x486d2b258910dd79 + .quad 0x1e6c47b3db0324e5 + .quad 0x6a2134bcc4a9c8f2 + .quad 0xfbf8fd1c8ace2e37 + .quad 0x000ae3049911a0ba + .quad 0x046e3a616bc89b9e + .quad 0x14e65442f03906be + .quad 0x4a019d54e362be2a + .quad 0x68ccdfec8dc230c7 + .quad 0x7cfb7e3faf6b861c + + // 2^160 * 1 * G + + .quad 0x4637974e8c58aedc + .quad 0xb9ef22fbabf041a4 + .quad 0xe185d956e980718a + .quad 0x2f1b78fab143a8a6 + .quad 0x96eebffb305b2f51 + .quad 0xd3f938ad889596b8 + .quad 0xf0f52dc746d5dd25 + .quad 0x57968290bb3a0095 + .quad 0xf71ab8430a20e101 + .quad 0xf393658d24f0ec47 + .quad 0xcf7509a86ee2eed1 + .quad 0x7dc43e35dc2aa3e1 + + // 2^160 * 2 * G + + .quad 0x85966665887dd9c3 + .quad 0xc90f9b314bb05355 + .quad 0xc6e08df8ef2079b1 + .quad 0x7ef72016758cc12f + .quad 0x5a782a5c273e9718 + .quad 0x3576c6995e4efd94 + .quad 0x0f2ed8051f237d3e + .quad 0x044fb81d82d50a99 + .quad 0xc1df18c5a907e3d9 + .quad 0x57b3371dce4c6359 + .quad 0xca704534b201bb49 + .quad 0x7f79823f9c30dd2e + + // 2^160 * 3 * G + + .quad 0x8334d239a3b513e8 + .quad 0xc13670d4b91fa8d8 + .quad 0x12b54136f590bd33 + .quad 0x0a4e0373d784d9b4 + .quad 0x6a9c1ff068f587ba + .quad 0x0827894e0050c8de + .quad 0x3cbf99557ded5be7 + .quad 0x64a9b0431c06d6f0 + .quad 0x2eb3d6a15b7d2919 + .quad 0xb0b4f6a0d53a8235 + .quad 0x7156ce4389a45d47 + .quad 0x071a7d0ace18346c + + // 2^160 * 4 * G + + .quad 0xd3072daac887ba0b + .quad 0x01262905bfa562ee + .quad 0xcf543002c0ef768b + .quad 0x2c3bcc7146ea7e9c + .quad 0xcc0c355220e14431 + .quad 0x0d65950709b15141 + .quad 0x9af5621b209d5f36 + .quad 0x7c69bcf7617755d3 + .quad 0x07f0d7eb04e8295f + .quad 0x10db18252f50f37d + .quad 0xe951a9a3171798d7 + .quad 0x6f5a9a7322aca51d + + // 2^160 * 5 * G + + .quad 0x8ba1000c2f41c6c5 + .quad 0xc49f79c10cfefb9b + .quad 0x4efa47703cc51c9f + .quad 0x494e21a2e147afca + .quad 0xe729d4eba3d944be + .quad 0x8d9e09408078af9e + .quad 0x4525567a47869c03 + .quad 0x02ab9680ee8d3b24 + .quad 0xefa48a85dde50d9a + .quad 0x219a224e0fb9a249 + .quad 0xfa091f1dd91ef6d9 + .quad 0x6b5d76cbea46bb34 + + // 2^160 * 6 * G + + .quad 0x8857556cec0cd994 + .quad 0x6472dc6f5cd01dba + .quad 0xaf0169148f42b477 + .quad 0x0ae333f685277354 + .quad 0xe0f941171e782522 + .quad 0xf1e6ae74036936d3 + .quad 0x408b3ea2d0fcc746 + .quad 0x16fb869c03dd313e + .quad 0x288e199733b60962 + .quad 0x24fc72b4d8abe133 + .quad 0x4811f7ed0991d03e + .quad 0x3f81e38b8f70d075 + + // 2^160 * 7 * G + + .quad 0x7f910fcc7ed9affe + .quad 0x545cb8a12465874b + .quad 0xa8397ed24b0c4704 + .quad 0x50510fc104f50993 + .quad 0x0adb7f355f17c824 + .quad 0x74b923c3d74299a4 + .quad 0xd57c3e8bcbf8eaf7 + .quad 0x0ad3e2d34cdedc3d + .quad 0x6f0c0fc5336e249d + .quad 0x745ede19c331cfd9 + .quad 0xf2d6fd0009eefe1c + .quad 0x127c158bf0fa1ebe + + // 2^160 * 8 * G + + .quad 0xf6197c422e9879a2 + .quad 0xa44addd452ca3647 + .quad 0x9b413fc14b4eaccb + .quad 0x354ef87d07ef4f68 + .quad 0xdea28fc4ae51b974 + .quad 0x1d9973d3744dfe96 + .quad 0x6240680b873848a8 + .quad 0x4ed82479d167df95 + .quad 0xfee3b52260c5d975 + .quad 0x50352efceb41b0b8 + .quad 0x8808ac30a9f6653c + .quad 0x302d92d20539236d + + // 2^164 * 1 * G + + .quad 0x4c59023fcb3efb7c + .quad 0x6c2fcb99c63c2a94 + .quad 0xba4190e2c3c7e084 + .quad 0x0e545daea51874d9 + .quad 0x957b8b8b0df53c30 + .quad 0x2a1c770a8e60f098 + .quad 0xbbc7a670345796de + .quad 0x22a48f9a90c99bc9 + .quad 0x6b7dc0dc8d3fac58 + .quad 0x5497cd6ce6e42bfd + .quad 0x542f7d1bf400d305 + .quad 0x4159f47f048d9136 + + // 2^164 * 2 * G + + .quad 0x20ad660839e31e32 + .quad 0xf81e1bd58405be50 + .quad 0xf8064056f4dabc69 + .quad 0x14d23dd4ce71b975 + .quad 0x748515a8bbd24839 + .quad 0x77128347afb02b55 + .quad 0x50ba2ac649a2a17f + .quad 0x060525513ad730f1 + .quad 0xf2398e098aa27f82 + .quad 0x6d7982bb89a1b024 + .quad 0xfa694084214dd24c + .quad 0x71ab966fa32301c3 + + // 2^164 * 3 * G + + .quad 0x2dcbd8e34ded02fc + .quad 0x1151f3ec596f22aa + .quad 0xbca255434e0328da + .quad 0x35768fbe92411b22 + .quad 0xb1088a0702809955 + .quad 0x43b273ea0b43c391 + .quad 0xca9b67aefe0686ed + .quad 0x605eecbf8335f4ed + .quad 0x83200a656c340431 + .quad 0x9fcd71678ee59c2f + .quad 0x75d4613f71300f8a + .quad 0x7a912faf60f542f9 + + // 2^164 * 4 * G + + .quad 0xb204585e5edc1a43 + .quad 0x9f0e16ee5897c73c + .quad 0x5b82c0ae4e70483c + .quad 0x624a170e2bddf9be + .quad 0x253f4f8dfa2d5597 + .quad 0x25e49c405477130c + .quad 0x00c052e5996b1102 + .quad 0x33cb966e33bb6c4a + .quad 0x597028047f116909 + .quad 0x828ac41c1e564467 + .quad 0x70417dbde6217387 + .quad 0x721627aefbac4384 + + // 2^164 * 5 * G + + .quad 0x97d03bc38736add5 + .quad 0x2f1422afc532b130 + .quad 0x3aa68a057101bbc4 + .quad 0x4c946cf7e74f9fa7 + .quad 0xfd3097bc410b2f22 + .quad 0xf1a05da7b5cfa844 + .quad 0x61289a1def57ca74 + .quad 0x245ea199bb821902 + .quad 0xaedca66978d477f8 + .quad 0x1898ba3c29117fe1 + .quad 0xcf73f983720cbd58 + .quad 0x67da12e6b8b56351 + + // 2^164 * 6 * G + + .quad 0x7067e187b4bd6e07 + .quad 0x6e8f0203c7d1fe74 + .quad 0x93c6aa2f38c85a30 + .quad 0x76297d1f3d75a78a + .quad 0x2b7ef3d38ec8308c + .quad 0x828fd7ec71eb94ab + .quad 0x807c3b36c5062abd + .quad 0x0cb64cb831a94141 + .quad 0x3030fc33534c6378 + .quad 0xb9635c5ce541e861 + .quad 0x15d9a9bed9b2c728 + .quad 0x49233ea3f3775dcb + + // 2^164 * 7 * G + + .quad 0x629398fa8dbffc3a + .quad 0xe12fe52dd54db455 + .quad 0xf3be11dfdaf25295 + .quad 0x628b140dce5e7b51 + .quad 0x7b3985fe1c9f249b + .quad 0x4fd6b2d5a1233293 + .quad 0xceb345941adf4d62 + .quad 0x6987ff6f542de50c + .quad 0x47e241428f83753c + .quad 0x6317bebc866af997 + .quad 0xdabb5b433d1a9829 + .quad 0x074d8d245287fb2d + + // 2^164 * 8 * G + + .quad 0x8337d9cd440bfc31 + .quad 0x729d2ca1af318fd7 + .quad 0xa040a4a4772c2070 + .quad 0x46002ef03a7349be + .quad 0x481875c6c0e31488 + .quad 0x219429b2e22034b4 + .quad 0x7223c98a31283b65 + .quad 0x3420d60b342277f9 + .quad 0xfaa23adeaffe65f7 + .quad 0x78261ed45be0764c + .quad 0x441c0a1e2f164403 + .quad 0x5aea8e567a87d395 + + // 2^168 * 1 * G + + .quad 0x7813c1a2bca4283d + .quad 0xed62f091a1863dd9 + .quad 0xaec7bcb8c268fa86 + .quad 0x10e5d3b76f1cae4c + .quad 0x2dbc6fb6e4e0f177 + .quad 0x04e1bf29a4bd6a93 + .quad 0x5e1966d4787af6e8 + .quad 0x0edc5f5eb426d060 + .quad 0x5453bfd653da8e67 + .quad 0xe9dc1eec24a9f641 + .quad 0xbf87263b03578a23 + .quad 0x45b46c51361cba72 + + // 2^168 * 2 * G + + .quad 0xa9402abf314f7fa1 + .quad 0xe257f1dc8e8cf450 + .quad 0x1dbbd54b23a8be84 + .quad 0x2177bfa36dcb713b + .quad 0xce9d4ddd8a7fe3e4 + .quad 0xab13645676620e30 + .quad 0x4b594f7bb30e9958 + .quad 0x5c1c0aef321229df + .quad 0x37081bbcfa79db8f + .quad 0x6048811ec25f59b3 + .quad 0x087a76659c832487 + .quad 0x4ae619387d8ab5bb + + // 2^168 * 3 * G + + .quad 0x8ddbf6aa5344a32e + .quad 0x7d88eab4b41b4078 + .quad 0x5eb0eb974a130d60 + .quad 0x1a00d91b17bf3e03 + .quad 0x61117e44985bfb83 + .quad 0xfce0462a71963136 + .quad 0x83ac3448d425904b + .quad 0x75685abe5ba43d64 + .quad 0x6e960933eb61f2b2 + .quad 0x543d0fa8c9ff4952 + .quad 0xdf7275107af66569 + .quad 0x135529b623b0e6aa + + // 2^168 * 4 * G + + .quad 0x18f0dbd7add1d518 + .quad 0x979f7888cfc11f11 + .quad 0x8732e1f07114759b + .quad 0x79b5b81a65ca3a01 + .quad 0xf5c716bce22e83fe + .quad 0xb42beb19e80985c1 + .quad 0xec9da63714254aae + .quad 0x5972ea051590a613 + .quad 0x0fd4ac20dc8f7811 + .quad 0x9a9ad294ac4d4fa8 + .quad 0xc01b2d64b3360434 + .quad 0x4f7e9c95905f3bdb + + // 2^168 * 5 * G + + .quad 0x62674bbc5781302e + .quad 0xd8520f3989addc0f + .quad 0x8c2999ae53fbd9c6 + .quad 0x31993ad92e638e4c + .quad 0x71c8443d355299fe + .quad 0x8bcd3b1cdbebead7 + .quad 0x8092499ef1a49466 + .quad 0x1942eec4a144adc8 + .quad 0x7dac5319ae234992 + .quad 0x2c1b3d910cea3e92 + .quad 0x553ce494253c1122 + .quad 0x2a0a65314ef9ca75 + + // 2^168 * 6 * G + + .quad 0x2db7937ff7f927c2 + .quad 0xdb741f0617d0a635 + .quad 0x5982f3a21155af76 + .quad 0x4cf6e218647c2ded + .quad 0xcf361acd3c1c793a + .quad 0x2f9ebcac5a35bc3b + .quad 0x60e860e9a8cda6ab + .quad 0x055dc39b6dea1a13 + .quad 0xb119227cc28d5bb6 + .quad 0x07e24ebc774dffab + .quad 0xa83c78cee4a32c89 + .quad 0x121a307710aa24b6 + + // 2^168 * 7 * G + + .quad 0xe4db5d5e9f034a97 + .quad 0xe153fc093034bc2d + .quad 0x460546919551d3b1 + .quad 0x333fc76c7a40e52d + .quad 0xd659713ec77483c9 + .quad 0x88bfe077b82b96af + .quad 0x289e28231097bcd3 + .quad 0x527bb94a6ced3a9b + .quad 0x563d992a995b482e + .quad 0x3405d07c6e383801 + .quad 0x485035de2f64d8e5 + .quad 0x6b89069b20a7a9f7 + + // 2^168 * 8 * G + + .quad 0x812aa0416270220d + .quad 0x995a89faf9245b4e + .quad 0xffadc4ce5072ef05 + .quad 0x23bc2103aa73eb73 + .quad 0x4082fa8cb5c7db77 + .quad 0x068686f8c734c155 + .quad 0x29e6c8d9f6e7a57e + .quad 0x0473d308a7639bcf + .quad 0xcaee792603589e05 + .quad 0x2b4b421246dcc492 + .quad 0x02a1ef74e601a94f + .quad 0x102f73bfde04341a + + // 2^172 * 1 * G + + .quad 0xb5a2d50c7ec20d3e + .quad 0xc64bdd6ea0c97263 + .quad 0x56e89052c1ff734d + .quad 0x4929c6f72b2ffaba + .quad 0x358ecba293a36247 + .quad 0xaf8f9862b268fd65 + .quad 0x412f7e9968a01c89 + .quad 0x5786f312cd754524 + .quad 0x337788ffca14032c + .quad 0xf3921028447f1ee3 + .quad 0x8b14071f231bccad + .quad 0x4c817b4bf2344783 + + // 2^172 * 2 * G + + .quad 0x0ff853852871b96e + .quad 0xe13e9fab60c3f1bb + .quad 0xeefd595325344402 + .quad 0x0a37c37075b7744b + .quad 0x413ba057a40b4484 + .quad 0xba4c2e1a4f5f6a43 + .quad 0x614ba0a5aee1d61c + .quad 0x78a1531a8b05dc53 + .quad 0x6cbdf1703ad0562b + .quad 0x8ecf4830c92521a3 + .quad 0xdaebd303fd8424e7 + .quad 0x72ad82a42e5ec56f + + // 2^172 * 3 * G + + .quad 0x3f9e8e35bafb65f6 + .quad 0x39d69ec8f27293a1 + .quad 0x6cb8cd958cf6a3d0 + .quad 0x1734778173adae6d + .quad 0xc368939167024bc3 + .quad 0x8e69d16d49502fda + .quad 0xfcf2ec3ce45f4b29 + .quad 0x065f669ea3b4cbc4 + .quad 0x8a00aec75532db4d + .quad 0xb869a4e443e31bb1 + .quad 0x4a0f8552d3a7f515 + .quad 0x19adeb7c303d7c08 + + // 2^172 * 4 * G + + .quad 0xc720cb6153ead9a3 + .quad 0x55b2c97f512b636e + .quad 0xb1e35b5fd40290b1 + .quad 0x2fd9ccf13b530ee2 + .quad 0x9d05ba7d43c31794 + .quad 0x2470c8ff93322526 + .quad 0x8323dec816197438 + .quad 0x2852709881569b53 + .quad 0x07bd475b47f796b8 + .quad 0xd2c7b013542c8f54 + .quad 0x2dbd23f43b24f87e + .quad 0x6551afd77b0901d6 + + // 2^172 * 5 * G + + .quad 0x4546baaf54aac27f + .quad 0xf6f66fecb2a45a28 + .quad 0x582d1b5b562bcfe8 + .quad 0x44b123f3920f785f + .quad 0x68a24ce3a1d5c9ac + .quad 0xbb77a33d10ff6461 + .quad 0x0f86ce4425d3166e + .quad 0x56507c0950b9623b + .quad 0x1206f0b7d1713e63 + .quad 0x353fe3d915bafc74 + .quad 0x194ceb970ad9d94d + .quad 0x62fadd7cf9d03ad3 + + // 2^172 * 6 * G + + .quad 0xc6b5967b5598a074 + .quad 0x5efe91ce8e493e25 + .quad 0xd4b72c4549280888 + .quad 0x20ef1149a26740c2 + .quad 0x3cd7bc61e7ce4594 + .quad 0xcd6b35a9b7dd267e + .quad 0xa080abc84366ef27 + .quad 0x6ec7c46f59c79711 + .quad 0x2f07ad636f09a8a2 + .quad 0x8697e6ce24205e7d + .quad 0xc0aefc05ee35a139 + .quad 0x15e80958b5f9d897 + + // 2^172 * 7 * G + + .quad 0x25a5ef7d0c3e235b + .quad 0x6c39c17fbe134ee7 + .quad 0xc774e1342dc5c327 + .quad 0x021354b892021f39 + .quad 0x4dd1ed355bb061c4 + .quad 0x42dc0cef941c0700 + .quad 0x61305dc1fd86340e + .quad 0x56b2cc930e55a443 + .quad 0x1df79da6a6bfc5a2 + .quad 0x02f3a2749fde4369 + .quad 0xb323d9f2cda390a7 + .quad 0x7be0847b8774d363 + + // 2^172 * 8 * G + + .quad 0x8c99cc5a8b3f55c3 + .quad 0x0611d7253fded2a0 + .quad 0xed2995ff36b70a36 + .quad 0x1f699a54d78a2619 + .quad 0x1466f5af5307fa11 + .quad 0x817fcc7ded6c0af2 + .quad 0x0a6de44ec3a4a3fb + .quad 0x74071475bc927d0b + .quad 0xe77292f373e7ea8a + .quad 0x296537d2cb045a31 + .quad 0x1bd0653ed3274fde + .quad 0x2f9a2c4476bd2966 + + // 2^176 * 1 * G + + .quad 0xeb18b9ab7f5745c6 + .quad 0x023a8aee5787c690 + .quad 0xb72712da2df7afa9 + .quad 0x36597d25ea5c013d + .quad 0xa2b4dae0b5511c9a + .quad 0x7ac860292bffff06 + .quad 0x981f375df5504234 + .quad 0x3f6bd725da4ea12d + .quad 0x734d8d7b106058ac + .quad 0xd940579e6fc6905f + .quad 0x6466f8f99202932d + .quad 0x7b7ecc19da60d6d0 + + // 2^176 * 2 * G + + .quad 0x78c2373c695c690d + .quad 0xdd252e660642906e + .quad 0x951d44444ae12bd2 + .quad 0x4235ad7601743956 + .quad 0x6dae4a51a77cfa9b + .quad 0x82263654e7a38650 + .quad 0x09bbffcd8f2d82db + .quad 0x03bedc661bf5caba + .quad 0x6258cb0d078975f5 + .quad 0x492942549189f298 + .quad 0xa0cab423e2e36ee4 + .quad 0x0e7ce2b0cdf066a1 + + // 2^176 * 3 * G + + .quad 0xc494643ac48c85a3 + .quad 0xfd361df43c6139ad + .quad 0x09db17dd3ae94d48 + .quad 0x666e0a5d8fb4674a + .quad 0xfea6fedfd94b70f9 + .quad 0xf130c051c1fcba2d + .quad 0x4882d47e7f2fab89 + .quad 0x615256138aeceeb5 + .quad 0x2abbf64e4870cb0d + .quad 0xcd65bcf0aa458b6b + .quad 0x9abe4eba75e8985d + .quad 0x7f0bc810d514dee4 + + // 2^176 * 4 * G + + .quad 0xb9006ba426f4136f + .quad 0x8d67369e57e03035 + .quad 0xcbc8dfd94f463c28 + .quad 0x0d1f8dbcf8eedbf5 + .quad 0x83ac9dad737213a0 + .quad 0x9ff6f8ba2ef72e98 + .quad 0x311e2edd43ec6957 + .quad 0x1d3a907ddec5ab75 + .quad 0xba1693313ed081dc + .quad 0x29329fad851b3480 + .quad 0x0128013c030321cb + .quad 0x00011b44a31bfde3 + + // 2^176 * 5 * G + + .quad 0x3fdfa06c3fc66c0c + .quad 0x5d40e38e4dd60dd2 + .quad 0x7ae38b38268e4d71 + .quad 0x3ac48d916e8357e1 + .quad 0x16561f696a0aa75c + .quad 0xc1bf725c5852bd6a + .quad 0x11a8dd7f9a7966ad + .quad 0x63d988a2d2851026 + .quad 0x00120753afbd232e + .quad 0xe92bceb8fdd8f683 + .quad 0xf81669b384e72b91 + .quad 0x33fad52b2368a066 + + // 2^176 * 6 * G + + .quad 0x540649c6c5e41e16 + .quad 0x0af86430333f7735 + .quad 0xb2acfcd2f305e746 + .quad 0x16c0f429a256dca7 + .quad 0x8d2cc8d0c422cfe8 + .quad 0x072b4f7b05a13acb + .quad 0xa3feb6e6ecf6a56f + .quad 0x3cc355ccb90a71e2 + .quad 0xe9b69443903e9131 + .quad 0xb8a494cb7a5637ce + .quad 0xc87cd1a4baba9244 + .quad 0x631eaf426bae7568 + + // 2^176 * 7 * G + + .quad 0xb3e90410da66fe9f + .quad 0x85dd4b526c16e5a6 + .quad 0xbc3d97611ef9bf83 + .quad 0x5599648b1ea919b5 + .quad 0x47d975b9a3700de8 + .quad 0x7280c5fbe2f80552 + .quad 0x53658f2732e45de1 + .quad 0x431f2c7f665f80b5 + .quad 0xd6026344858f7b19 + .quad 0x14ab352fa1ea514a + .quad 0x8900441a2090a9d7 + .quad 0x7b04715f91253b26 + + // 2^176 * 8 * G + + .quad 0x83edbd28acf6ae43 + .quad 0x86357c8b7d5c7ab4 + .quad 0xc0404769b7eb2c44 + .quad 0x59b37bf5c2f6583f + .quad 0xb376c280c4e6bac6 + .quad 0x970ed3dd6d1d9b0b + .quad 0xb09a9558450bf944 + .quad 0x48d0acfa57cde223 + .quad 0xb60f26e47dabe671 + .quad 0xf1d1a197622f3a37 + .quad 0x4208ce7ee9960394 + .quad 0x16234191336d3bdb + + // 2^180 * 1 * G + + .quad 0xf19aeac733a63aef + .quad 0x2c7fba5d4442454e + .quad 0x5da87aa04795e441 + .quad 0x413051e1a4e0b0f5 + .quad 0x852dd1fd3d578bbe + .quad 0x2b65ce72c3286108 + .quad 0x658c07f4eace2273 + .quad 0x0933f804ec38ab40 + .quad 0xa7ab69798d496476 + .quad 0x8121aadefcb5abc8 + .quad 0xa5dc12ef7b539472 + .quad 0x07fd47065e45351a + + // 2^180 * 2 * G + + .quad 0xc8583c3d258d2bcd + .quad 0x17029a4daf60b73f + .quad 0xfa0fc9d6416a3781 + .quad 0x1c1e5fba38b3fb23 + .quad 0x304211559ae8e7c3 + .quad 0xf281b229944882a5 + .quad 0x8a13ac2e378250e4 + .quad 0x014afa0954ba48f4 + .quad 0xcb3197001bb3666c + .quad 0x330060524bffecb9 + .quad 0x293711991a88233c + .quad 0x291884363d4ed364 + + // 2^180 * 3 * G + + .quad 0x033c6805dc4babfa + .quad 0x2c15bf5e5596ecc1 + .quad 0x1bc70624b59b1d3b + .quad 0x3ede9850a19f0ec5 + .quad 0xfb9d37c3bc1ab6eb + .quad 0x02be14534d57a240 + .quad 0xf4d73415f8a5e1f6 + .quad 0x5964f4300ccc8188 + .quad 0xe44a23152d096800 + .quad 0x5c08c55970866996 + .quad 0xdf2db60a46affb6e + .quad 0x579155c1f856fd89 + + // 2^180 * 4 * G + + .quad 0x96324edd12e0c9ef + .quad 0x468b878df2420297 + .quad 0x199a3776a4f573be + .quad 0x1e7fbcf18e91e92a + .quad 0xb5f16b630817e7a6 + .quad 0x808c69233c351026 + .quad 0x324a983b54cef201 + .quad 0x53c092084a485345 + .quad 0xd2d41481f1cbafbf + .quad 0x231d2db6716174e5 + .quad 0x0b7d7656e2a55c98 + .quad 0x3e955cd82aa495f6 + + // 2^180 * 5 * G + + .quad 0xe48f535e3ed15433 + .quad 0xd075692a0d7270a3 + .quad 0x40fbd21daade6387 + .quad 0x14264887cf4495f5 + .quad 0xab39f3ef61bb3a3f + .quad 0x8eb400652eb9193e + .quad 0xb5de6ecc38c11f74 + .quad 0x654d7e9626f3c49f + .quad 0xe564cfdd5c7d2ceb + .quad 0x82eeafded737ccb9 + .quad 0x6107db62d1f9b0ab + .quad 0x0b6baac3b4358dbb + + // 2^180 * 6 * G + + .quad 0x7ae62bcb8622fe98 + .quad 0x47762256ceb891af + .quad 0x1a5a92bcf2e406b4 + .quad 0x7d29401784e41501 + .quad 0x204abad63700a93b + .quad 0xbe0023d3da779373 + .quad 0xd85f0346633ab709 + .quad 0x00496dc490820412 + .quad 0x1c74b88dc27e6360 + .quad 0x074854268d14850c + .quad 0xa145fb7b3e0dcb30 + .quad 0x10843f1b43803b23 + + // 2^180 * 7 * G + + .quad 0xc5f90455376276dd + .quad 0xce59158dd7645cd9 + .quad 0x92f65d511d366b39 + .quad 0x11574b6e526996c4 + .quad 0xd56f672de324689b + .quad 0xd1da8aedb394a981 + .quad 0xdd7b58fe9168cfed + .quad 0x7ce246cd4d56c1e8 + .quad 0xb8f4308e7f80be53 + .quad 0x5f3cb8cb34a9d397 + .quad 0x18a961bd33cc2b2c + .quad 0x710045fb3a9af671 + + // 2^180 * 8 * G + + .quad 0x73f93d36101b95eb + .quad 0xfaef33794f6f4486 + .quad 0x5651735f8f15e562 + .quad 0x7fa3f19058b40da1 + .quad 0xa03fc862059d699e + .quad 0x2370cfa19a619e69 + .quad 0xc4fe3b122f823deb + .quad 0x1d1b056fa7f0844e + .quad 0x1bc64631e56bf61f + .quad 0xd379ab106e5382a3 + .quad 0x4d58c57e0540168d + .quad 0x566256628442d8e4 + + // 2^184 * 1 * G + + .quad 0xb9e499def6267ff6 + .quad 0x7772ca7b742c0843 + .quad 0x23a0153fe9a4f2b1 + .quad 0x2cdfdfecd5d05006 + .quad 0xdd499cd61ff38640 + .quad 0x29cd9bc3063625a0 + .quad 0x51e2d8023dd73dc3 + .quad 0x4a25707a203b9231 + .quad 0x2ab7668a53f6ed6a + .quad 0x304242581dd170a1 + .quad 0x4000144c3ae20161 + .quad 0x5721896d248e49fc + + // 2^184 * 2 * G + + .quad 0x0b6e5517fd181bae + .quad 0x9022629f2bb963b4 + .quad 0x5509bce932064625 + .quad 0x578edd74f63c13da + .quad 0x285d5091a1d0da4e + .quad 0x4baa6fa7b5fe3e08 + .quad 0x63e5177ce19393b3 + .quad 0x03c935afc4b030fd + .quad 0x997276c6492b0c3d + .quad 0x47ccc2c4dfe205fc + .quad 0xdcd29b84dd623a3c + .quad 0x3ec2ab590288c7a2 + + // 2^184 * 3 * G + + .quad 0xa1a0d27be4d87bb9 + .quad 0xa98b4deb61391aed + .quad 0x99a0ddd073cb9b83 + .quad 0x2dd5c25a200fcace + .quad 0xa7213a09ae32d1cb + .quad 0x0f2b87df40f5c2d5 + .quad 0x0baea4c6e81eab29 + .quad 0x0e1bf66c6adbac5e + .quad 0xe2abd5e9792c887e + .quad 0x1a020018cb926d5d + .quad 0xbfba69cdbaae5f1e + .quad 0x730548b35ae88f5f + + // 2^184 * 4 * G + + .quad 0xc43551a3cba8b8ee + .quad 0x65a26f1db2115f16 + .quad 0x760f4f52ab8c3850 + .quad 0x3043443b411db8ca + .quad 0x805b094ba1d6e334 + .quad 0xbf3ef17709353f19 + .quad 0x423f06cb0622702b + .quad 0x585a2277d87845dd + .quad 0xa18a5f8233d48962 + .quad 0x6698c4b5ec78257f + .quad 0xa78e6fa5373e41ff + .quad 0x7656278950ef981f + + // 2^184 * 5 * G + + .quad 0x38c3cf59d51fc8c0 + .quad 0x9bedd2fd0506b6f2 + .quad 0x26bf109fab570e8f + .quad 0x3f4160a8c1b846a6 + .quad 0xe17073a3ea86cf9d + .quad 0x3a8cfbb707155fdc + .quad 0x4853e7fc31838a8e + .quad 0x28bbf484b613f616 + .quad 0xf2612f5c6f136c7c + .quad 0xafead107f6dd11be + .quad 0x527e9ad213de6f33 + .quad 0x1e79cb358188f75d + + // 2^184 * 6 * G + + .quad 0x013436c3eef7e3f1 + .quad 0x828b6a7ffe9e10f8 + .quad 0x7ff908e5bcf9defc + .quad 0x65d7951b3a3b3831 + .quad 0x77e953d8f5e08181 + .quad 0x84a50c44299dded9 + .quad 0xdc6c2d0c864525e5 + .quad 0x478ab52d39d1f2f4 + .quad 0x66a6a4d39252d159 + .quad 0xe5dde1bc871ac807 + .quad 0xb82c6b40a6c1c96f + .quad 0x16d87a411a212214 + + // 2^184 * 7 * G + + .quad 0xb3bd7e5a42066215 + .quad 0x879be3cd0c5a24c1 + .quad 0x57c05db1d6f994b7 + .quad 0x28f87c8165f38ca6 + .quad 0xfba4d5e2d54e0583 + .quad 0xe21fafd72ebd99fa + .quad 0x497ac2736ee9778f + .quad 0x1f990b577a5a6dde + .quad 0xa3344ead1be8f7d6 + .quad 0x7d1e50ebacea798f + .quad 0x77c6569e520de052 + .quad 0x45882fe1534d6d3e + + // 2^184 * 8 * G + + .quad 0x6669345d757983d6 + .quad 0x62b6ed1117aa11a6 + .quad 0x7ddd1857985e128f + .quad 0x688fe5b8f626f6dd + .quad 0xd8ac9929943c6fe4 + .quad 0xb5f9f161a38392a2 + .quad 0x2699db13bec89af3 + .quad 0x7dcf843ce405f074 + .quad 0x6c90d6484a4732c0 + .quad 0xd52143fdca563299 + .quad 0xb3be28c3915dc6e1 + .quad 0x6739687e7327191b + + // 2^188 * 1 * G + + .quad 0x9f65c5ea200814cf + .quad 0x840536e169a31740 + .quad 0x8b0ed13925c8b4ad + .quad 0x0080dbafe936361d + .quad 0x8ce5aad0c9cb971f + .quad 0x1156aaa99fd54a29 + .quad 0x41f7247015af9b78 + .quad 0x1fe8cca8420f49aa + .quad 0x72a1848f3c0cc82a + .quad 0x38c560c2877c9e54 + .quad 0x5004e228ce554140 + .quad 0x042418a103429d71 + + // 2^188 * 2 * G + + .quad 0x899dea51abf3ff5f + .quad 0x9b93a8672fc2d8ba + .quad 0x2c38cb97be6ebd5c + .quad 0x114d578497263b5d + .quad 0x58e84c6f20816247 + .quad 0x8db2b2b6e36fd793 + .quad 0x977182561d484d85 + .quad 0x0822024f8632abd7 + .quad 0xb301bb7c6b1beca3 + .quad 0x55393f6dc6eb1375 + .quad 0x910d281097b6e4eb + .quad 0x1ad4548d9d479ea3 + + // 2^188 * 3 * G + + .quad 0xcd5a7da0389a48fd + .quad 0xb38fa4aa9a78371e + .quad 0xc6d9761b2cdb8e6c + .quad 0x35cf51dbc97e1443 + .quad 0xa06fe66d0fe9fed3 + .quad 0xa8733a401c587909 + .quad 0x30d14d800df98953 + .quad 0x41ce5876c7b30258 + .quad 0x59ac3bc5d670c022 + .quad 0xeae67c109b119406 + .quad 0x9798bdf0b3782fda + .quad 0x651e3201fd074092 + + // 2^188 * 4 * G + + .quad 0xd63d8483ef30c5cf + .quad 0x4cd4b4962361cc0c + .quad 0xee90e500a48426ac + .quad 0x0af51d7d18c14eeb + .quad 0xa57ba4a01efcae9e + .quad 0x769f4beedc308a94 + .quad 0xd1f10eeb3603cb2e + .quad 0x4099ce5e7e441278 + .quad 0x1ac98e4f8a5121e9 + .quad 0x7dae9544dbfa2fe0 + .quad 0x8320aa0dd6430df9 + .quad 0x667282652c4a2fb5 + + // 2^188 * 5 * G + + .quad 0x874621f4d86bc9ab + .quad 0xb54c7bbe56fe6fea + .quad 0x077a24257fadc22c + .quad 0x1ab53be419b90d39 + .quad 0xada8b6e02946db23 + .quad 0x1c0ce51a7b253ab7 + .quad 0x8448c85a66dd485b + .quad 0x7f1fc025d0675adf + .quad 0xd8ee1b18319ea6aa + .quad 0x004d88083a21f0da + .quad 0x3bd6aa1d883a4f4b + .quad 0x4db9a3a6dfd9fd14 + + // 2^188 * 6 * G + + .quad 0x8ce7b23bb99c0755 + .quad 0x35c5d6edc4f50f7a + .quad 0x7e1e2ed2ed9b50c3 + .quad 0x36305f16e8934da1 + .quad 0xd95b00bbcbb77c68 + .quad 0xddbc846a91f17849 + .quad 0x7cf700aebe28d9b3 + .quad 0x5ce1285c85d31f3e + .quad 0x31b6972d98b0bde8 + .quad 0x7d920706aca6de5b + .quad 0xe67310f8908a659f + .quad 0x50fac2a6efdf0235 + + // 2^188 * 7 * G + + .quad 0xf3d3a9f35b880f5a + .quad 0xedec050cdb03e7c2 + .quad 0xa896981ff9f0b1a2 + .quad 0x49a4ae2bac5e34a4 + .quad 0x295b1c86f6f449bc + .quad 0x51b2e84a1f0ab4dd + .quad 0xc001cb30aa8e551d + .quad 0x6a28d35944f43662 + .quad 0x28bb12ee04a740e0 + .quad 0x14313bbd9bce8174 + .quad 0x72f5b5e4e8c10c40 + .quad 0x7cbfb19936adcd5b + + // 2^188 * 8 * G + + .quad 0xa311ddc26b89792d + .quad 0x1b30b4c6da512664 + .quad 0x0ca77b4ccf150859 + .quad 0x1de443df1b009408 + .quad 0x8e793a7acc36e6e0 + .quad 0xf9fab7a37d586eed + .quad 0x3a4f9692bae1f4e4 + .quad 0x1c14b03eff5f447e + .quad 0x19647bd114a85291 + .quad 0x57b76cb21034d3af + .quad 0x6329db440f9d6dfa + .quad 0x5ef43e586a571493 + + // 2^192 * 1 * G + + .quad 0xef782014385675a6 + .quad 0xa2649f30aafda9e8 + .quad 0x4cd1eb505cdfa8cb + .quad 0x46115aba1d4dc0b3 + .quad 0xa66dcc9dc80c1ac0 + .quad 0x97a05cf41b38a436 + .quad 0xa7ebf3be95dbd7c6 + .quad 0x7da0b8f68d7e7dab + .quad 0xd40f1953c3b5da76 + .quad 0x1dac6f7321119e9b + .quad 0x03cc6021feb25960 + .quad 0x5a5f887e83674b4b + + // 2^192 * 2 * G + + .quad 0x8f6301cf70a13d11 + .quad 0xcfceb815350dd0c4 + .quad 0xf70297d4a4bca47e + .quad 0x3669b656e44d1434 + .quad 0x9e9628d3a0a643b9 + .quad 0xb5c3cb00e6c32064 + .quad 0x9b5302897c2dec32 + .quad 0x43e37ae2d5d1c70c + .quad 0x387e3f06eda6e133 + .quad 0x67301d5199a13ac0 + .quad 0xbd5ad8f836263811 + .quad 0x6a21e6cd4fd5e9be + + // 2^192 * 3 * G + + .quad 0xf1c6170a3046e65f + .quad 0x58712a2a00d23524 + .quad 0x69dbbd3c8c82b755 + .quad 0x586bf9f1a195ff57 + .quad 0xef4129126699b2e3 + .quad 0x71d30847708d1301 + .quad 0x325432d01182b0bd + .quad 0x45371b07001e8b36 + .quad 0xa6db088d5ef8790b + .quad 0x5278f0dc610937e5 + .quad 0xac0349d261a16eb8 + .quad 0x0eafb03790e52179 + + // 2^192 * 4 * G + + .quad 0x960555c13748042f + .quad 0x219a41e6820baa11 + .quad 0x1c81f73873486d0c + .quad 0x309acc675a02c661 + .quad 0x5140805e0f75ae1d + .quad 0xec02fbe32662cc30 + .quad 0x2cebdf1eea92396d + .quad 0x44ae3344c5435bb3 + .quad 0x9cf289b9bba543ee + .quad 0xf3760e9d5ac97142 + .quad 0x1d82e5c64f9360aa + .quad 0x62d5221b7f94678f + + // 2^192 * 5 * G + + .quad 0x524c299c18d0936d + .quad 0xc86bb56c8a0c1a0c + .quad 0xa375052edb4a8631 + .quad 0x5c0efde4bc754562 + .quad 0x7585d4263af77a3c + .quad 0xdfae7b11fee9144d + .quad 0xa506708059f7193d + .quad 0x14f29a5383922037 + .quad 0xdf717edc25b2d7f5 + .quad 0x21f970db99b53040 + .quad 0xda9234b7c3ed4c62 + .quad 0x5e72365c7bee093e + + // 2^192 * 6 * G + + .quad 0x575bfc074571217f + .quad 0x3779675d0694d95b + .quad 0x9a0a37bbf4191e33 + .quad 0x77f1104c47b4eabc + .quad 0x7d9339062f08b33e + .quad 0x5b9659e5df9f32be + .quad 0xacff3dad1f9ebdfd + .quad 0x70b20555cb7349b7 + .quad 0xbe5113c555112c4c + .quad 0x6688423a9a881fcd + .quad 0x446677855e503b47 + .quad 0x0e34398f4a06404a + + // 2^192 * 7 * G + + .quad 0xb67d22d93ecebde8 + .quad 0x09b3e84127822f07 + .quad 0x743fa61fb05b6d8d + .quad 0x5e5405368a362372 + .quad 0x18930b093e4b1928 + .quad 0x7de3e10e73f3f640 + .quad 0xf43217da73395d6f + .quad 0x6f8aded6ca379c3e + .quad 0xe340123dfdb7b29a + .quad 0x487b97e1a21ab291 + .quad 0xf9967d02fde6949e + .quad 0x780de72ec8d3de97 + + // 2^192 * 8 * G + + .quad 0x0ae28545089ae7bc + .quad 0x388ddecf1c7f4d06 + .quad 0x38ac15510a4811b8 + .quad 0x0eb28bf671928ce4 + .quad 0x671feaf300f42772 + .quad 0x8f72eb2a2a8c41aa + .quad 0x29a17fd797373292 + .quad 0x1defc6ad32b587a6 + .quad 0xaf5bbe1aef5195a7 + .quad 0x148c1277917b15ed + .quad 0x2991f7fb7ae5da2e + .quad 0x467d201bf8dd2867 + + // 2^196 * 1 * G + + .quad 0x7906ee72f7bd2e6b + .quad 0x05d270d6109abf4e + .quad 0x8d5cfe45b941a8a4 + .quad 0x44c218671c974287 + .quad 0x745f9d56296bc318 + .quad 0x993580d4d8152e65 + .quad 0xb0e5b13f5839e9ce + .quad 0x51fc2b28d43921c0 + .quad 0x1b8fd11795e2a98c + .quad 0x1c4e5ee12b6b6291 + .quad 0x5b30e7107424b572 + .quad 0x6e6b9de84c4f4ac6 + + // 2^196 * 2 * G + + .quad 0xdff25fce4b1de151 + .quad 0xd841c0c7e11c4025 + .quad 0x2554b3c854749c87 + .quad 0x2d292459908e0df9 + .quad 0x6b7c5f10f80cb088 + .quad 0x736b54dc56e42151 + .quad 0xc2b620a5c6ef99c4 + .quad 0x5f4c802cc3a06f42 + .quad 0x9b65c8f17d0752da + .quad 0x881ce338c77ee800 + .quad 0xc3b514f05b62f9e3 + .quad 0x66ed5dd5bec10d48 + + // 2^196 * 3 * G + + .quad 0x7d38a1c20bb2089d + .quad 0x808334e196ccd412 + .quad 0xc4a70b8c6c97d313 + .quad 0x2eacf8bc03007f20 + .quad 0xf0adf3c9cbca047d + .quad 0x81c3b2cbf4552f6b + .quad 0xcfda112d44735f93 + .quad 0x1f23a0c77e20048c + .quad 0xf235467be5bc1570 + .quad 0x03d2d9020dbab38c + .quad 0x27529aa2fcf9e09e + .quad 0x0840bef29d34bc50 + + // 2^196 * 4 * G + + .quad 0x796dfb35dc10b287 + .quad 0x27176bcd5c7ff29d + .quad 0x7f3d43e8c7b24905 + .quad 0x0304f5a191c54276 + .quad 0xcd54e06b7f37e4eb + .quad 0x8cc15f87f5e96cca + .quad 0xb8248bb0d3597dce + .quad 0x246affa06074400c + .quad 0x37d88e68fbe45321 + .quad 0x86097548c0d75032 + .quad 0x4e9b13ef894a0d35 + .quad 0x25a83cac5753d325 + + // 2^196 * 5 * G + + .quad 0x10222f48eed8165e + .quad 0x623fc1234b8bcf3a + .quad 0x1e145c09c221e8f0 + .quad 0x7ccfa59fca782630 + .quad 0x9f0f66293952b6e2 + .quad 0x33db5e0e0934267b + .quad 0xff45252bd609fedc + .quad 0x06be10f5c506e0c9 + .quad 0x1a9615a9b62a345f + .quad 0x22050c564a52fecc + .quad 0xa7a2788528bc0dfe + .quad 0x5e82770a1a1ee71d + + // 2^196 * 6 * G + + .quad 0x35425183ad896a5c + .quad 0xe8673afbe78d52f6 + .quad 0x2c66f25f92a35f64 + .quad 0x09d04f3b3b86b102 + .quad 0xe802e80a42339c74 + .quad 0x34175166a7fffae5 + .quad 0x34865d1f1c408cae + .quad 0x2cca982c605bc5ee + .quad 0xfd2d5d35197dbe6e + .quad 0x207c2eea8be4ffa3 + .quad 0x2613d8db325ae918 + .quad 0x7a325d1727741d3e + + // 2^196 * 7 * G + + .quad 0xd036b9bbd16dfde2 + .quad 0xa2055757c497a829 + .quad 0x8e6cc966a7f12667 + .quad 0x4d3b1a791239c180 + .quad 0xecd27d017e2a076a + .quad 0xd788689f1636495e + .quad 0x52a61af0919233e5 + .quad 0x2a479df17bb1ae64 + .quad 0x9e5eee8e33db2710 + .quad 0x189854ded6c43ca5 + .quad 0xa41c22c592718138 + .quad 0x27ad5538a43a5e9b + + // 2^196 * 8 * G + + .quad 0x2746dd4b15350d61 + .quad 0xd03fcbc8ee9521b7 + .quad 0xe86e365a138672ca + .quad 0x510e987f7e7d89e2 + .quad 0xcb5a7d638e47077c + .quad 0x8db7536120a1c059 + .quad 0x549e1e4d8bedfdcc + .quad 0x080153b7503b179d + .quad 0xdda69d930a3ed3e3 + .quad 0x3d386ef1cd60a722 + .quad 0xc817ad58bdaa4ee6 + .quad 0x23be8d554fe7372a + + // 2^200 * 1 * G + + .quad 0x95fe919a74ef4fad + .quad 0x3a827becf6a308a2 + .quad 0x964e01d309a47b01 + .quad 0x71c43c4f5ba3c797 + .quad 0xbc1ef4bd567ae7a9 + .quad 0x3f624cb2d64498bd + .quad 0xe41064d22c1f4ec8 + .quad 0x2ef9c5a5ba384001 + .quad 0xb6fd6df6fa9e74cd + .quad 0xf18278bce4af267a + .quad 0x8255b3d0f1ef990e + .quad 0x5a758ca390c5f293 + + // 2^200 * 2 * G + + .quad 0xa2b72710d9462495 + .quad 0x3aa8c6d2d57d5003 + .quad 0xe3d400bfa0b487ca + .quad 0x2dbae244b3eb72ec + .quad 0x8ce0918b1d61dc94 + .quad 0x8ded36469a813066 + .quad 0xd4e6a829afe8aad3 + .quad 0x0a738027f639d43f + .quad 0x980f4a2f57ffe1cc + .quad 0x00670d0de1839843 + .quad 0x105c3f4a49fb15fd + .quad 0x2698ca635126a69c + + // 2^200 * 3 * G + + .quad 0xe765318832b0ba78 + .quad 0x381831f7925cff8b + .quad 0x08a81b91a0291fcc + .quad 0x1fb43dcc49caeb07 + .quad 0x2e3d702f5e3dd90e + .quad 0x9e3f0918e4d25386 + .quad 0x5e773ef6024da96a + .quad 0x3c004b0c4afa3332 + .quad 0x9aa946ac06f4b82b + .quad 0x1ca284a5a806c4f3 + .quad 0x3ed3265fc6cd4787 + .quad 0x6b43fd01cd1fd217 + + // 2^200 * 4 * G + + .quad 0xc7a75d4b4697c544 + .quad 0x15fdf848df0fffbf + .quad 0x2868b9ebaa46785a + .quad 0x5a68d7105b52f714 + .quad 0xb5c742583e760ef3 + .quad 0x75dc52b9ee0ab990 + .quad 0xbf1427c2072b923f + .quad 0x73420b2d6ff0d9f0 + .quad 0xaf2cf6cb9e851e06 + .quad 0x8f593913c62238c4 + .quad 0xda8ab89699fbf373 + .quad 0x3db5632fea34bc9e + + // 2^200 * 5 * G + + .quad 0xf46eee2bf75dd9d8 + .quad 0x0d17b1f6396759a5 + .quad 0x1bf2d131499e7273 + .quad 0x04321adf49d75f13 + .quad 0x2e4990b1829825d5 + .quad 0xedeaeb873e9a8991 + .quad 0xeef03d394c704af8 + .quad 0x59197ea495df2b0e + .quad 0x04e16019e4e55aae + .quad 0xe77b437a7e2f92e9 + .quad 0xc7ce2dc16f159aa4 + .quad 0x45eafdc1f4d70cc0 + + // 2^200 * 6 * G + + .quad 0x698401858045d72b + .quad 0x4c22faa2cf2f0651 + .quad 0x941a36656b222dc6 + .quad 0x5a5eebc80362dade + .quad 0xb60e4624cfccb1ed + .quad 0x59dbc292bd5c0395 + .quad 0x31a09d1ddc0481c9 + .quad 0x3f73ceea5d56d940 + .quad 0xb7a7bfd10a4e8dc6 + .quad 0xbe57007e44c9b339 + .quad 0x60c1207f1557aefa + .quad 0x26058891266218db + + // 2^200 * 7 * G + + .quad 0x59f704a68360ff04 + .quad 0xc3d93fde7661e6f4 + .quad 0x831b2a7312873551 + .quad 0x54ad0c2e4e615d57 + .quad 0x4c818e3cc676e542 + .quad 0x5e422c9303ceccad + .quad 0xec07cccab4129f08 + .quad 0x0dedfa10b24443b8 + .quad 0xee3b67d5b82b522a + .quad 0x36f163469fa5c1eb + .quad 0xa5b4d2f26ec19fd3 + .quad 0x62ecb2baa77a9408 + + // 2^200 * 8 * G + + .quad 0xe5ed795261152b3d + .quad 0x4962357d0eddd7d1 + .quad 0x7482c8d0b96b4c71 + .quad 0x2e59f919a966d8be + .quad 0x92072836afb62874 + .quad 0x5fcd5e8579e104a5 + .quad 0x5aad01adc630a14a + .quad 0x61913d5075663f98 + .quad 0x0dc62d361a3231da + .quad 0xfa47583294200270 + .quad 0x02d801513f9594ce + .quad 0x3ddbc2a131c05d5c + + // 2^204 * 1 * G + + .quad 0x3f50a50a4ffb81ef + .quad 0xb1e035093bf420bf + .quad 0x9baa8e1cc6aa2cd0 + .quad 0x32239861fa237a40 + .quad 0xfb735ac2004a35d1 + .quad 0x31de0f433a6607c3 + .quad 0x7b8591bfc528d599 + .quad 0x55be9a25f5bb050c + .quad 0x0d005acd33db3dbf + .quad 0x0111b37c80ac35e2 + .quad 0x4892d66c6f88ebeb + .quad 0x770eadb16508fbcd + + // 2^204 * 2 * G + + .quad 0x8451f9e05e4e89dd + .quad 0xc06302ffbc793937 + .quad 0x5d22749556a6495c + .quad 0x09a6755ca05603fb + .quad 0xf1d3b681a05071b9 + .quad 0x2207659a3592ff3a + .quad 0x5f0169297881e40e + .quad 0x16bedd0e86ba374e + .quad 0x5ecccc4f2c2737b5 + .quad 0x43b79e0c2dccb703 + .quad 0x33e008bc4ec43df3 + .quad 0x06c1b840f07566c0 + + // 2^204 * 3 * G + + .quad 0x7688a5c6a388f877 + .quad 0x02a96c14deb2b6ac + .quad 0x64c9f3431b8c2af8 + .quad 0x3628435554a1eed6 + .quad 0x69ee9e7f9b02805c + .quad 0xcbff828a547d1640 + .quad 0x3d93a869b2430968 + .quad 0x46b7b8cd3fe26972 + .quad 0xe9812086fe7eebe0 + .quad 0x4cba6be72f515437 + .quad 0x1d04168b516efae9 + .quad 0x5ea1391043982cb9 + + // 2^204 * 4 * G + + .quad 0x49125c9cf4702ee1 + .quad 0x4520b71f8b25b32d + .quad 0x33193026501fef7e + .quad 0x656d8997c8d2eb2b + .quad 0x6f2b3be4d5d3b002 + .quad 0xafec33d96a09c880 + .quad 0x035f73a4a8bcc4cc + .quad 0x22c5b9284662198b + .quad 0xcb58c8fe433d8939 + .quad 0x89a0cb2e6a8d7e50 + .quad 0x79ca955309fbbe5a + .quad 0x0c626616cd7fc106 + + // 2^204 * 5 * G + + .quad 0x1ffeb80a4879b61f + .quad 0x6396726e4ada21ed + .quad 0x33c7b093368025ba + .quad 0x471aa0c6f3c31788 + .quad 0x8fdfc379fbf454b1 + .quad 0x45a5a970f1a4b771 + .quad 0xac921ef7bad35915 + .quad 0x42d088dca81c2192 + .quad 0x8fda0f37a0165199 + .quad 0x0adadb77c8a0e343 + .quad 0x20fbfdfcc875e820 + .quad 0x1cf2bea80c2206e7 + + // 2^204 * 6 * G + + .quad 0xc2ddf1deb36202ac + .quad 0x92a5fe09d2e27aa5 + .quad 0x7d1648f6fc09f1d3 + .quad 0x74c2cc0513bc4959 + .quad 0x982d6e1a02c0412f + .quad 0x90fa4c83db58e8fe + .quad 0x01c2f5bcdcb18bc0 + .quad 0x686e0c90216abc66 + .quad 0x1fadbadba54395a7 + .quad 0xb41a02a0ae0da66a + .quad 0xbf19f598bba37c07 + .quad 0x6a12b8acde48430d + + // 2^204 * 7 * G + + .quad 0xf8daea1f39d495d9 + .quad 0x592c190e525f1dfc + .quad 0xdb8cbd04c9991d1b + .quad 0x11f7fda3d88f0cb7 + .quad 0x793bdd801aaeeb5f + .quad 0x00a2a0aac1518871 + .quad 0xe8a373a31f2136b4 + .quad 0x48aab888fc91ef19 + .quad 0x041f7e925830f40e + .quad 0x002d6ca979661c06 + .quad 0x86dc9ff92b046a2e + .quad 0x760360928b0493d1 + + // 2^204 * 8 * G + + .quad 0x21bb41c6120cf9c6 + .quad 0xeab2aa12decda59b + .quad 0xc1a72d020aa48b34 + .quad 0x215d4d27e87d3b68 + .quad 0xb43108e5695a0b05 + .quad 0x6cb00ee8ad37a38b + .quad 0x5edad6eea3537381 + .quad 0x3f2602d4b6dc3224 + .quad 0xc8b247b65bcaf19c + .quad 0x49779dc3b1b2c652 + .quad 0x89a180bbd5ece2e2 + .quad 0x13f098a3cec8e039 + + // 2^208 * 1 * G + + .quad 0x9adc0ff9ce5ec54b + .quad 0x039c2a6b8c2f130d + .quad 0x028007c7f0f89515 + .quad 0x78968314ac04b36b + .quad 0xf3aa57a22796bb14 + .quad 0x883abab79b07da21 + .quad 0xe54be21831a0391c + .quad 0x5ee7fb38d83205f9 + .quad 0x538dfdcb41446a8e + .quad 0xa5acfda9434937f9 + .quad 0x46af908d263c8c78 + .quad 0x61d0633c9bca0d09 + + // 2^208 * 2 * G + + .quad 0x63744935ffdb2566 + .quad 0xc5bd6b89780b68bb + .quad 0x6f1b3280553eec03 + .quad 0x6e965fd847aed7f5 + .quad 0xada328bcf8fc73df + .quad 0xee84695da6f037fc + .quad 0x637fb4db38c2a909 + .quad 0x5b23ac2df8067bdc + .quad 0x9ad2b953ee80527b + .quad 0xe88f19aafade6d8d + .quad 0x0e711704150e82cf + .quad 0x79b9bbb9dd95dedc + + // 2^208 * 3 * G + + .quad 0xebb355406a3126c2 + .quad 0xd26383a868c8c393 + .quad 0x6c0c6429e5b97a82 + .quad 0x5065f158c9fd2147 + .quad 0xd1997dae8e9f7374 + .quad 0xa032a2f8cfbb0816 + .quad 0xcd6cba126d445f0a + .quad 0x1ba811460accb834 + .quad 0x708169fb0c429954 + .quad 0xe14600acd76ecf67 + .quad 0x2eaab98a70e645ba + .quad 0x3981f39e58a4faf2 + + // 2^208 * 4 * G + + .quad 0x18fb8a7559230a93 + .quad 0x1d168f6960e6f45d + .quad 0x3a85a94514a93cb5 + .quad 0x38dc083705acd0fd + .quad 0xc845dfa56de66fde + .quad 0xe152a5002c40483a + .quad 0xe9d2e163c7b4f632 + .quad 0x30f4452edcbc1b65 + .quad 0x856d2782c5759740 + .quad 0xfa134569f99cbecc + .quad 0x8844fc73c0ea4e71 + .quad 0x632d9a1a593f2469 + + // 2^208 * 5 * G + + .quad 0xf6bb6b15b807cba6 + .quad 0x1823c7dfbc54f0d7 + .quad 0xbb1d97036e29670b + .quad 0x0b24f48847ed4a57 + .quad 0xbf09fd11ed0c84a7 + .quad 0x63f071810d9f693a + .quad 0x21908c2d57cf8779 + .quad 0x3a5a7df28af64ba2 + .quad 0xdcdad4be511beac7 + .quad 0xa4538075ed26ccf2 + .quad 0xe19cff9f005f9a65 + .quad 0x34fcf74475481f63 + + // 2^208 * 6 * G + + .quad 0xc197e04c789767ca + .quad 0xb8714dcb38d9467d + .quad 0x55de888283f95fa8 + .quad 0x3d3bdc164dfa63f7 + .quad 0xa5bb1dab78cfaa98 + .quad 0x5ceda267190b72f2 + .quad 0x9309c9110a92608e + .quad 0x0119a3042fb374b0 + .quad 0x67a2d89ce8c2177d + .quad 0x669da5f66895d0c1 + .quad 0xf56598e5b282a2b0 + .quad 0x56c088f1ede20a73 + + // 2^208 * 7 * G + + .quad 0x336d3d1110a86e17 + .quad 0xd7f388320b75b2fa + .quad 0xf915337625072988 + .quad 0x09674c6b99108b87 + .quad 0x581b5fac24f38f02 + .quad 0xa90be9febae30cbd + .quad 0x9a2169028acf92f0 + .quad 0x038b7ea48359038f + .quad 0x9f4ef82199316ff8 + .quad 0x2f49d282eaa78d4f + .quad 0x0971a5ab5aef3174 + .quad 0x6e5e31025969eb65 + + // 2^208 * 8 * G + + .quad 0xb16c62f587e593fb + .quad 0x4999eddeca5d3e71 + .quad 0xb491c1e014cc3e6d + .quad 0x08f5114789a8dba8 + .quad 0x3304fb0e63066222 + .quad 0xfb35068987acba3f + .quad 0xbd1924778c1061a3 + .quad 0x3058ad43d1838620 + .quad 0x323c0ffde57663d0 + .quad 0x05c3df38a22ea610 + .quad 0xbdc78abdac994f9a + .quad 0x26549fa4efe3dc99 + + // 2^212 * 1 * G + + .quad 0x738b38d787ce8f89 + .quad 0xb62658e24179a88d + .quad 0x30738c9cf151316d + .quad 0x49128c7f727275c9 + .quad 0x04dbbc17f75396b9 + .quad 0x69e6a2d7d2f86746 + .quad 0xc6409d99f53eabc6 + .quad 0x606175f6332e25d2 + .quad 0x4021370ef540e7dd + .quad 0x0910d6f5a1f1d0a5 + .quad 0x4634aacd5b06b807 + .quad 0x6a39e6356944f235 + + // 2^212 * 2 * G + + .quad 0x96cd5640df90f3e7 + .quad 0x6c3a760edbfa25ea + .quad 0x24f3ef0959e33cc4 + .quad 0x42889e7e530d2e58 + .quad 0x1da1965774049e9d + .quad 0xfbcd6ea198fe352b + .quad 0xb1cbcd50cc5236a6 + .quad 0x1f5ec83d3f9846e2 + .quad 0x8efb23c3328ccb75 + .quad 0xaf42a207dd876ee9 + .quad 0x20fbdadc5dfae796 + .quad 0x241e246b06bf9f51 + + // 2^212 * 3 * G + + .quad 0x29e68e57ad6e98f6 + .quad 0x4c9260c80b462065 + .quad 0x3f00862ea51ebb4b + .quad 0x5bc2c77fb38d9097 + .quad 0x7eaafc9a6280bbb8 + .quad 0x22a70f12f403d809 + .quad 0x31ce40bb1bfc8d20 + .quad 0x2bc65635e8bd53ee + .quad 0xe8d5dc9fa96bad93 + .quad 0xe58fb17dde1947dc + .quad 0x681532ea65185fa3 + .quad 0x1fdd6c3b034a7830 + + // 2^212 * 4 * G + + .quad 0x0a64e28c55dc18fe + .quad 0xe3df9e993399ebdd + .quad 0x79ac432370e2e652 + .quad 0x35ff7fc33ae4cc0e + .quad 0x9c13a6a52dd8f7a9 + .quad 0x2dbb1f8c3efdcabf + .quad 0x961e32405e08f7b5 + .quad 0x48c8a121bbe6c9e5 + .quad 0xfc415a7c59646445 + .quad 0xd224b2d7c128b615 + .quad 0x6035c9c905fbb912 + .quad 0x42d7a91274429fab + + // 2^212 * 5 * G + + .quad 0x4e6213e3eaf72ed3 + .quad 0x6794981a43acd4e7 + .quad 0xff547cde6eb508cb + .quad 0x6fed19dd10fcb532 + .quad 0xa9a48947933da5bc + .quad 0x4a58920ec2e979ec + .quad 0x96d8800013e5ac4c + .quad 0x453692d74b48b147 + .quad 0xdd775d99a8559c6f + .quad 0xf42a2140df003e24 + .quad 0x5223e229da928a66 + .quad 0x063f46ba6d38f22c + + // 2^212 * 6 * G + + .quad 0xd2d242895f536694 + .quad 0xca33a2c542939b2c + .quad 0x986fada6c7ddb95c + .quad 0x5a152c042f712d5d + .quad 0x39843cb737346921 + .quad 0xa747fb0738c89447 + .quad 0xcb8d8031a245307e + .quad 0x67810f8e6d82f068 + .quad 0x3eeb8fbcd2287db4 + .quad 0x72c7d3a301a03e93 + .quad 0x5473e88cbd98265a + .quad 0x7324aa515921b403 + + // 2^212 * 7 * G + + .quad 0x857942f46c3cbe8e + .quad 0xa1d364b14730c046 + .quad 0x1c8ed914d23c41bf + .quad 0x0838e161eef6d5d2 + .quad 0xad23f6dae82354cb + .quad 0x6962502ab6571a6d + .quad 0x9b651636e38e37d1 + .quad 0x5cac5005d1a3312f + .quad 0x8cc154cce9e39904 + .quad 0x5b3a040b84de6846 + .quad 0xc4d8a61cb1be5d6e + .quad 0x40fb897bd8861f02 + + // 2^212 * 8 * G + + .quad 0x84c5aa9062de37a1 + .quad 0x421da5000d1d96e1 + .quad 0x788286306a9242d9 + .quad 0x3c5e464a690d10da + .quad 0xe57ed8475ab10761 + .quad 0x71435e206fd13746 + .quad 0x342f824ecd025632 + .quad 0x4b16281ea8791e7b + .quad 0xd1c101d50b813381 + .quad 0xdee60f1176ee6828 + .quad 0x0cb68893383f6409 + .quad 0x6183c565f6ff484a + + // 2^216 * 1 * G + + .quad 0x741d5a461e6bf9d6 + .quad 0x2305b3fc7777a581 + .quad 0xd45574a26474d3d9 + .quad 0x1926e1dc6401e0ff + .quad 0xdb468549af3f666e + .quad 0xd77fcf04f14a0ea5 + .quad 0x3df23ff7a4ba0c47 + .quad 0x3a10dfe132ce3c85 + .quad 0xe07f4e8aea17cea0 + .quad 0x2fd515463a1fc1fd + .quad 0x175322fd31f2c0f1 + .quad 0x1fa1d01d861e5d15 + + // 2^216 * 2 * G + + .quad 0xcc8055947d599832 + .quad 0x1e4656da37f15520 + .quad 0x99f6f7744e059320 + .quad 0x773563bc6a75cf33 + .quad 0x38dcac00d1df94ab + .quad 0x2e712bddd1080de9 + .quad 0x7f13e93efdd5e262 + .quad 0x73fced18ee9a01e5 + .quad 0x06b1e90863139cb3 + .quad 0xa493da67c5a03ecd + .quad 0x8d77cec8ad638932 + .quad 0x1f426b701b864f44 + + // 2^216 * 3 * G + + .quad 0xefc9264c41911c01 + .quad 0xf1a3b7b817a22c25 + .quad 0x5875da6bf30f1447 + .quad 0x4e1af5271d31b090 + .quad 0xf17e35c891a12552 + .quad 0xb76b8153575e9c76 + .quad 0xfa83406f0d9b723e + .quad 0x0b76bb1b3fa7e438 + .quad 0x08b8c1f97f92939b + .quad 0xbe6771cbd444ab6e + .quad 0x22e5646399bb8017 + .quad 0x7b6dd61eb772a955 + + // 2^216 * 4 * G + + .quad 0xb7adc1e850f33d92 + .quad 0x7998fa4f608cd5cf + .quad 0xad962dbd8dfc5bdb + .quad 0x703e9bceaf1d2f4f + .quad 0x5730abf9ab01d2c7 + .quad 0x16fb76dc40143b18 + .quad 0x866cbe65a0cbb281 + .quad 0x53fa9b659bff6afe + .quad 0x6c14c8e994885455 + .quad 0x843a5d6665aed4e5 + .quad 0x181bb73ebcd65af1 + .quad 0x398d93e5c4c61f50 + + // 2^216 * 5 * G + + .quad 0x1c4bd16733e248f3 + .quad 0xbd9e128715bf0a5f + .quad 0xd43f8cf0a10b0376 + .quad 0x53b09b5ddf191b13 + .quad 0xc3877c60d2e7e3f2 + .quad 0x3b34aaa030828bb1 + .quad 0x283e26e7739ef138 + .quad 0x699c9c9002c30577 + .quad 0xf306a7235946f1cc + .quad 0x921718b5cce5d97d + .quad 0x28cdd24781b4e975 + .quad 0x51caf30c6fcdd907 + + // 2^216 * 6 * G + + .quad 0xa60ba7427674e00a + .quad 0x630e8570a17a7bf3 + .quad 0x3758563dcf3324cc + .quad 0x5504aa292383fdaa + .quad 0x737af99a18ac54c7 + .quad 0x903378dcc51cb30f + .quad 0x2b89bc334ce10cc7 + .quad 0x12ae29c189f8e99a + .quad 0xa99ec0cb1f0d01cf + .quad 0x0dd1efcc3a34f7ae + .quad 0x55ca7521d09c4e22 + .quad 0x5fd14fe958eba5ea + + // 2^216 * 7 * G + + .quad 0xb5dc2ddf2845ab2c + .quad 0x069491b10a7fe993 + .quad 0x4daaf3d64002e346 + .quad 0x093ff26e586474d1 + .quad 0x3c42fe5ebf93cb8e + .quad 0xbedfa85136d4565f + .quad 0xe0f0859e884220e8 + .quad 0x7dd73f960725d128 + .quad 0xb10d24fe68059829 + .quad 0x75730672dbaf23e5 + .quad 0x1367253ab457ac29 + .quad 0x2f59bcbc86b470a4 + + // 2^216 * 8 * G + + .quad 0x83847d429917135f + .quad 0xad1b911f567d03d7 + .quad 0x7e7748d9be77aad1 + .quad 0x5458b42e2e51af4a + .quad 0x7041d560b691c301 + .quad 0x85201b3fadd7e71e + .quad 0x16c2e16311335585 + .quad 0x2aa55e3d010828b1 + .quad 0xed5192e60c07444f + .quad 0x42c54e2d74421d10 + .quad 0x352b4c82fdb5c864 + .quad 0x13e9004a8a768664 + + // 2^220 * 1 * G + + .quad 0xcbb5b5556c032bff + .quad 0xdf7191b729297a3a + .quad 0xc1ff7326aded81bb + .quad 0x71ade8bb68be03f5 + .quad 0x1e6284c5806b467c + .quad 0xc5f6997be75d607b + .quad 0x8b67d958b378d262 + .quad 0x3d88d66a81cd8b70 + .quad 0x8b767a93204ed789 + .quad 0x762fcacb9fa0ae2a + .quad 0x771febcc6dce4887 + .quad 0x343062158ff05fb3 + + // 2^220 * 2 * G + + .quad 0xe05da1a7e1f5bf49 + .quad 0x26457d6dd4736092 + .quad 0x77dcb07773cc32f6 + .quad 0x0a5d94969cdd5fcd + .quad 0xfce219072a7b31b4 + .quad 0x4d7adc75aa578016 + .quad 0x0ec276a687479324 + .quad 0x6d6d9d5d1fda4beb + .quad 0x22b1a58ae9b08183 + .quad 0xfd95d071c15c388b + .quad 0xa9812376850a0517 + .quad 0x33384cbabb7f335e + + // 2^220 * 3 * G + + .quad 0x3c6fa2680ca2c7b5 + .quad 0x1b5082046fb64fda + .quad 0xeb53349c5431d6de + .quad 0x5278b38f6b879c89 + .quad 0x33bc627a26218b8d + .quad 0xea80b21fc7a80c61 + .quad 0x9458b12b173e9ee6 + .quad 0x076247be0e2f3059 + .quad 0x52e105f61416375a + .quad 0xec97af3685abeba4 + .quad 0x26e6b50623a67c36 + .quad 0x5cf0e856f3d4fb01 + + // 2^220 * 4 * G + + .quad 0xf6c968731ae8cab4 + .quad 0x5e20741ecb4f92c5 + .quad 0x2da53be58ccdbc3e + .quad 0x2dddfea269970df7 + .quad 0xbeaece313db342a8 + .quad 0xcba3635b842db7ee + .quad 0xe88c6620817f13ef + .quad 0x1b9438aa4e76d5c6 + .quad 0x8a50777e166f031a + .quad 0x067b39f10fb7a328 + .quad 0x1925c9a6010fbd76 + .quad 0x6df9b575cc740905 + + // 2^220 * 5 * G + + .quad 0x42c1192927f6bdcf + .quad 0x8f91917a403d61ca + .quad 0xdc1c5a668b9e1f61 + .quad 0x1596047804ec0f8d + .quad 0xecdfc35b48cade41 + .quad 0x6a88471fb2328270 + .quad 0x740a4a2440a01b6a + .quad 0x471e5796003b5f29 + .quad 0xda96bbb3aced37ac + .quad 0x7a2423b5e9208cea + .quad 0x24cc5c3038aebae2 + .quad 0x50c356afdc5dae2f + + // 2^220 * 6 * G + + .quad 0x09dcbf4341c30318 + .quad 0xeeba061183181dce + .quad 0xc179c0cedc1e29a1 + .quad 0x1dbf7b89073f35b0 + .quad 0xcfed9cdf1b31b964 + .quad 0xf486a9858ca51af3 + .quad 0x14897265ea8c1f84 + .quad 0x784a53dd932acc00 + .quad 0x2d99f9df14fc4920 + .quad 0x76ccb60cc4499fe5 + .quad 0xa4132cbbe5cf0003 + .quad 0x3f93d82354f000ea + + // 2^220 * 7 * G + + .quad 0x8183e7689e04ce85 + .quad 0x678fb71e04465341 + .quad 0xad92058f6688edac + .quad 0x5da350d3532b099a + .quad 0xeaac12d179e14978 + .quad 0xff923ff3bbebff5e + .quad 0x4af663e40663ce27 + .quad 0x0fd381a811a5f5ff + .quad 0xf256aceca436df54 + .quad 0x108b6168ae69d6e8 + .quad 0x20d986cb6b5d036c + .quad 0x655957b9fee2af50 + + // 2^220 * 8 * G + + .quad 0xaea8b07fa902030f + .quad 0xf88c766af463d143 + .quad 0x15b083663c787a60 + .quad 0x08eab1148267a4a8 + .quad 0xbdc1409bd002d0ac + .quad 0x66660245b5ccd9a6 + .quad 0x82317dc4fade85ec + .quad 0x02fe934b6ad7df0d + .quad 0xef5cf100cfb7ea74 + .quad 0x22897633a1cb42ac + .quad 0xd4ce0c54cef285e2 + .quad 0x30408c048a146a55 + + // 2^224 * 1 * G + + .quad 0x739d8845832fcedb + .quad 0xfa38d6c9ae6bf863 + .quad 0x32bc0dcab74ffef7 + .quad 0x73937e8814bce45e + .quad 0xbb2e00c9193b877f + .quad 0xece3a890e0dc506b + .quad 0xecf3b7c036de649f + .quad 0x5f46040898de9e1a + .quad 0xb9037116297bf48d + .quad 0xa9d13b22d4f06834 + .quad 0xe19715574696bdc6 + .quad 0x2cf8a4e891d5e835 + + // 2^224 * 2 * G + + .quad 0x6d93fd8707110f67 + .quad 0xdd4c09d37c38b549 + .quad 0x7cb16a4cc2736a86 + .quad 0x2049bd6e58252a09 + .quad 0x2cb5487e17d06ba2 + .quad 0x24d2381c3950196b + .quad 0xd7659c8185978a30 + .quad 0x7a6f7f2891d6a4f6 + .quad 0x7d09fd8d6a9aef49 + .quad 0xf0ee60be5b3db90b + .quad 0x4c21b52c519ebfd4 + .quad 0x6011aadfc545941d + + // 2^224 * 3 * G + + .quad 0x5f67926dcf95f83c + .quad 0x7c7e856171289071 + .quad 0xd6a1e7f3998f7a5b + .quad 0x6fc5cc1b0b62f9e0 + .quad 0x63ded0c802cbf890 + .quad 0xfbd098ca0dff6aaa + .quad 0x624d0afdb9b6ed99 + .quad 0x69ce18b779340b1e + .quad 0xd1ef5528b29879cb + .quad 0xdd1aae3cd47e9092 + .quad 0x127e0442189f2352 + .quad 0x15596b3ae57101f1 + + // 2^224 * 4 * G + + .quad 0x462739d23f9179a2 + .quad 0xff83123197d6ddcf + .quad 0x1307deb553f2148a + .quad 0x0d2237687b5f4dda + .quad 0x09ff31167e5124ca + .quad 0x0be4158bd9c745df + .quad 0x292b7d227ef556e5 + .quad 0x3aa4e241afb6d138 + .quad 0x2cc138bf2a3305f5 + .quad 0x48583f8fa2e926c3 + .quad 0x083ab1a25549d2eb + .quad 0x32fcaa6e4687a36c + + // 2^224 * 5 * G + + .quad 0x7bc56e8dc57d9af5 + .quad 0x3e0bd2ed9df0bdf2 + .quad 0xaac014de22efe4a3 + .quad 0x4627e9cefebd6a5c + .quad 0x3207a4732787ccdf + .quad 0x17e31908f213e3f8 + .quad 0xd5b2ecd7f60d964e + .quad 0x746f6336c2600be9 + .quad 0x3f4af345ab6c971c + .quad 0xe288eb729943731f + .quad 0x33596a8a0344186d + .quad 0x7b4917007ed66293 + + // 2^224 * 6 * G + + .quad 0x2d85fb5cab84b064 + .quad 0x497810d289f3bc14 + .quad 0x476adc447b15ce0c + .quad 0x122ba376f844fd7b + .quad 0x54341b28dd53a2dd + .quad 0xaa17905bdf42fc3f + .quad 0x0ff592d94dd2f8f4 + .quad 0x1d03620fe08cd37d + .quad 0xc20232cda2b4e554 + .quad 0x9ed0fd42115d187f + .quad 0x2eabb4be7dd479d9 + .quad 0x02c70bf52b68ec4c + + // 2^224 * 7 * G + + .quad 0xa287ec4b5d0b2fbb + .quad 0x415c5790074882ca + .quad 0xe044a61ec1d0815c + .quad 0x26334f0a409ef5e0 + .quad 0xace532bf458d72e1 + .quad 0x5be768e07cb73cb5 + .quad 0x56cf7d94ee8bbde7 + .quad 0x6b0697e3feb43a03 + .quad 0xb6c8f04adf62a3c0 + .quad 0x3ef000ef076da45d + .quad 0x9c9cb95849f0d2a9 + .quad 0x1cc37f43441b2fae + + // 2^224 * 8 * G + + .quad 0x508f565a5cc7324f + .quad 0xd061c4c0e506a922 + .quad 0xfb18abdb5c45ac19 + .quad 0x6c6809c10380314a + .quad 0xd76656f1c9ceaeb9 + .quad 0x1c5b15f818e5656a + .quad 0x26e72832844c2334 + .quad 0x3a346f772f196838 + .quad 0xd2d55112e2da6ac8 + .quad 0xe9bd0331b1e851ed + .quad 0x960746dd8ec67262 + .quad 0x05911b9f6ef7c5d0 + + // 2^228 * 1 * G + + .quad 0xe9dcd756b637ff2d + .quad 0xec4c348fc987f0c4 + .quad 0xced59285f3fbc7b7 + .quad 0x3305354793e1ea87 + .quad 0x01c18980c5fe9f94 + .quad 0xcd656769716fd5c8 + .quad 0x816045c3d195a086 + .quad 0x6e2b7f3266cc7982 + .quad 0xcc802468f7c3568f + .quad 0x9de9ba8219974cb3 + .quad 0xabb7229cb5b81360 + .quad 0x44e2017a6fbeba62 + + // 2^228 * 2 * G + + .quad 0xc4c2a74354dab774 + .quad 0x8e5d4c3c4eaf031a + .quad 0xb76c23d242838f17 + .quad 0x749a098f68dce4ea + .quad 0x87f82cf3b6ca6ecd + .quad 0x580f893e18f4a0c2 + .quad 0x058930072604e557 + .quad 0x6cab6ac256d19c1d + .quad 0xdcdfe0a02cc1de60 + .quad 0x032665ff51c5575b + .quad 0x2c0c32f1073abeeb + .quad 0x6a882014cd7b8606 + + // 2^228 * 3 * G + + .quad 0xa52a92fea4747fb5 + .quad 0xdc12a4491fa5ab89 + .quad 0xd82da94bb847a4ce + .quad 0x4d77edce9512cc4e + .quad 0xd111d17caf4feb6e + .quad 0x050bba42b33aa4a3 + .quad 0x17514c3ceeb46c30 + .quad 0x54bedb8b1bc27d75 + .quad 0x77c8e14577e2189c + .quad 0xa3e46f6aff99c445 + .quad 0x3144dfc86d335343 + .quad 0x3a96559e7c4216a9 + + // 2^228 * 4 * G + + .quad 0x12550d37f42ad2ee + .quad 0x8b78e00498a1fbf5 + .quad 0x5d53078233894cb2 + .quad 0x02c84e4e3e498d0c + .quad 0x4493896880baaa52 + .quad 0x4c98afc4f285940e + .quad 0xef4aa79ba45448b6 + .quad 0x5278c510a57aae7f + .quad 0xa54dd074294c0b94 + .quad 0xf55d46b8df18ffb6 + .quad 0xf06fecc58dae8366 + .quad 0x588657668190d165 + + // 2^228 * 5 * G + + .quad 0xd47712311aef7117 + .quad 0x50343101229e92c7 + .quad 0x7a95e1849d159b97 + .quad 0x2449959b8b5d29c9 + .quad 0xbf5834f03de25cc3 + .quad 0xb887c8aed6815496 + .quad 0x5105221a9481e892 + .quad 0x6760ed19f7723f93 + .quad 0x669ba3b7ac35e160 + .quad 0x2eccf73fba842056 + .quad 0x1aec1f17c0804f07 + .quad 0x0d96bc031856f4e7 + + // 2^228 * 6 * G + + .quad 0x3318be7775c52d82 + .quad 0x4cb764b554d0aab9 + .quad 0xabcf3d27cc773d91 + .quad 0x3bf4d1848123288a + .quad 0xb1d534b0cc7505e1 + .quad 0x32cd003416c35288 + .quad 0xcb36a5800762c29d + .quad 0x5bfe69b9237a0bf8 + .quad 0x183eab7e78a151ab + .quad 0xbbe990c999093763 + .quad 0xff717d6e4ac7e335 + .quad 0x4c5cddb325f39f88 + + // 2^228 * 7 * G + + .quad 0xc0f6b74d6190a6eb + .quad 0x20ea81a42db8f4e4 + .quad 0xa8bd6f7d97315760 + .quad 0x33b1d60262ac7c21 + .quad 0x57750967e7a9f902 + .quad 0x2c37fdfc4f5b467e + .quad 0xb261663a3177ba46 + .quad 0x3a375e78dc2d532b + .quad 0x8141e72f2d4dddea + .quad 0xe6eafe9862c607c8 + .quad 0x23c28458573cafd0 + .quad 0x46b9476f4ff97346 + + // 2^228 * 8 * G + + .quad 0x0c1ffea44f901e5c + .quad 0x2b0b6fb72184b782 + .quad 0xe587ff910114db88 + .quad 0x37130f364785a142 + .quad 0x1215505c0d58359f + .quad 0x2a2013c7fc28c46b + .quad 0x24a0a1af89ea664e + .quad 0x4400b638a1130e1f + .quad 0x3a01b76496ed19c3 + .quad 0x31e00ab0ed327230 + .quad 0x520a885783ca15b1 + .quad 0x06aab9875accbec7 + + // 2^232 * 1 * G + + .quad 0xc1339983f5df0ebb + .quad 0xc0f3758f512c4cac + .quad 0x2cf1130a0bb398e1 + .quad 0x6b3cecf9aa270c62 + .quad 0x5349acf3512eeaef + .quad 0x20c141d31cc1cb49 + .quad 0x24180c07a99a688d + .quad 0x555ef9d1c64b2d17 + .quad 0x36a770ba3b73bd08 + .quad 0x624aef08a3afbf0c + .quad 0x5737ff98b40946f2 + .quad 0x675f4de13381749d + + // 2^232 * 2 * G + + .quad 0x0e2c52036b1782fc + .quad 0x64816c816cad83b4 + .quad 0xd0dcbdd96964073e + .quad 0x13d99df70164c520 + .quad 0xa12ff6d93bdab31d + .quad 0x0725d80f9d652dfe + .quad 0x019c4ff39abe9487 + .quad 0x60f450b882cd3c43 + .quad 0x014b5ec321e5c0ca + .quad 0x4fcb69c9d719bfa2 + .quad 0x4e5f1c18750023a0 + .quad 0x1c06de9e55edac80 + + // 2^232 * 3 * G + + .quad 0x990f7ad6a33ec4e2 + .quad 0x6608f938be2ee08e + .quad 0x9ca143c563284515 + .quad 0x4cf38a1fec2db60d + .quad 0xffd52b40ff6d69aa + .quad 0x34530b18dc4049bb + .quad 0x5e4a5c2fa34d9897 + .quad 0x78096f8e7d32ba2d + .quad 0xa0aaaa650dfa5ce7 + .quad 0xf9c49e2a48b5478c + .quad 0x4f09cc7d7003725b + .quad 0x373cad3a26091abe + + // 2^232 * 4 * G + + .quad 0xb294634d82c9f57c + .quad 0x1fcbfde124934536 + .quad 0x9e9c4db3418cdb5a + .quad 0x0040f3d9454419fc + .quad 0xf1bea8fb89ddbbad + .quad 0x3bcb2cbc61aeaecb + .quad 0x8f58a7bb1f9b8d9d + .quad 0x21547eda5112a686 + .quad 0xdefde939fd5986d3 + .quad 0xf4272c89510a380c + .quad 0xb72ba407bb3119b9 + .quad 0x63550a334a254df4 + + // 2^232 * 5 * G + + .quad 0x6507d6edb569cf37 + .quad 0x178429b00ca52ee1 + .quad 0xea7c0090eb6bd65d + .quad 0x3eea62c7daf78f51 + .quad 0x9bba584572547b49 + .quad 0xf305c6fae2c408e0 + .quad 0x60e8fa69c734f18d + .quad 0x39a92bafaa7d767a + .quad 0x9d24c713e693274e + .quad 0x5f63857768dbd375 + .quad 0x70525560eb8ab39a + .quad 0x68436a0665c9c4cd + + // 2^232 * 6 * G + + .quad 0xbc0235e8202f3f27 + .quad 0xc75c00e264f975b0 + .quad 0x91a4e9d5a38c2416 + .quad 0x17b6e7f68ab789f9 + .quad 0x1e56d317e820107c + .quad 0xc5266844840ae965 + .quad 0xc1e0a1c6320ffc7a + .quad 0x5373669c91611472 + .quad 0x5d2814ab9a0e5257 + .quad 0x908f2084c9cab3fc + .quad 0xafcaf5885b2d1eca + .quad 0x1cb4b5a678f87d11 + + // 2^232 * 7 * G + + .quad 0xb664c06b394afc6c + .quad 0x0c88de2498da5fb1 + .quad 0x4f8d03164bcad834 + .quad 0x330bca78de7434a2 + .quad 0x6b74aa62a2a007e7 + .quad 0xf311e0b0f071c7b1 + .quad 0x5707e438000be223 + .quad 0x2dc0fd2d82ef6eac + .quad 0x982eff841119744e + .quad 0xf9695e962b074724 + .quad 0xc58ac14fbfc953fb + .quad 0x3c31be1b369f1cf5 + + // 2^232 * 8 * G + + .quad 0xb0f4864d08948aee + .quad 0x07dc19ee91ba1c6f + .quad 0x7975cdaea6aca158 + .quad 0x330b61134262d4bb + .quad 0xc168bc93f9cb4272 + .quad 0xaeb8711fc7cedb98 + .quad 0x7f0e52aa34ac8d7a + .quad 0x41cec1097e7d55bb + .quad 0xf79619d7a26d808a + .quad 0xbb1fd49e1d9e156d + .quad 0x73d7c36cdba1df27 + .quad 0x26b44cd91f28777d + + // 2^236 * 1 * G + + .quad 0x300a9035393aa6d8 + .quad 0x2b501131a12bb1cd + .quad 0x7b1ff677f093c222 + .quad 0x4309c1f8cab82bad + .quad 0xaf44842db0285f37 + .quad 0x8753189047efc8df + .quad 0x9574e091f820979a + .quad 0x0e378d6069615579 + .quad 0xd9fa917183075a55 + .quad 0x4bdb5ad26b009fdc + .quad 0x7829ad2cd63def0e + .quad 0x078fc54975fd3877 + + // 2^236 * 2 * G + + .quad 0x87dfbd1428878f2d + .quad 0x134636dd1e9421a1 + .quad 0x4f17c951257341a3 + .quad 0x5df98d4bad296cb8 + .quad 0xe2004b5bb833a98a + .quad 0x44775dec2d4c3330 + .quad 0x3aa244067eace913 + .quad 0x272630e3d58e00a9 + .quad 0xf3678fd0ecc90b54 + .quad 0xf001459b12043599 + .quad 0x26725fbc3758b89b + .quad 0x4325e4aa73a719ae + + // 2^236 * 3 * G + + .quad 0x657dc6ef433c3493 + .quad 0x65375e9f80dbf8c3 + .quad 0x47fd2d465b372dae + .quad 0x4966ab79796e7947 + .quad 0xed24629acf69f59d + .quad 0x2a4a1ccedd5abbf4 + .quad 0x3535ca1f56b2d67b + .quad 0x5d8c68d043b1b42d + .quad 0xee332d4de3b42b0a + .quad 0xd84e5a2b16a4601c + .quad 0x78243877078ba3e4 + .quad 0x77ed1eb4184ee437 + + // 2^236 * 4 * G + + .quad 0xbfd4e13f201839a0 + .quad 0xaeefffe23e3df161 + .quad 0xb65b04f06b5d1fe3 + .quad 0x52e085fb2b62fbc0 + .quad 0x185d43f89e92ed1a + .quad 0xb04a1eeafe4719c6 + .quad 0x499fbe88a6f03f4f + .quad 0x5d8b0d2f3c859bdd + .quad 0x124079eaa54cf2ba + .quad 0xd72465eb001b26e7 + .quad 0x6843bcfdc97af7fd + .quad 0x0524b42b55eacd02 + + // 2^236 * 5 * G + + .quad 0xfd0d5dbee45447b0 + .quad 0x6cec351a092005ee + .quad 0x99a47844567579cb + .quad 0x59d242a216e7fa45 + .quad 0xbc18dcad9b829eac + .quad 0x23ae7d28b5f579d0 + .quad 0xc346122a69384233 + .quad 0x1a6110b2e7d4ac89 + .quad 0x4f833f6ae66997ac + .quad 0x6849762a361839a4 + .quad 0x6985dec1970ab525 + .quad 0x53045e89dcb1f546 + + // 2^236 * 6 * G + + .quad 0xcb8bb346d75353db + .quad 0xfcfcb24bae511e22 + .quad 0xcba48d40d50ae6ef + .quad 0x26e3bae5f4f7cb5d + .quad 0x84da3cde8d45fe12 + .quad 0xbd42c218e444e2d2 + .quad 0xa85196781f7e3598 + .quad 0x7642c93f5616e2b2 + .quad 0x2323daa74595f8e4 + .quad 0xde688c8b857abeb4 + .quad 0x3fc48e961c59326e + .quad 0x0b2e73ca15c9b8ba + + // 2^236 * 7 * G + + .quad 0xd6bb4428c17f5026 + .quad 0x9eb27223fb5a9ca7 + .quad 0xe37ba5031919c644 + .quad 0x21ce380db59a6602 + .quad 0x0e3fbfaf79c03a55 + .quad 0x3077af054cbb5acf + .quad 0xd5c55245db3de39f + .quad 0x015e68c1476a4af7 + .quad 0xc1d5285220066a38 + .quad 0x95603e523570aef3 + .quad 0x832659a7226b8a4d + .quad 0x5dd689091f8eedc9 + + // 2^236 * 8 * G + + .quad 0xcbac84debfd3c856 + .quad 0x1624c348b35ff244 + .quad 0xb7f88dca5d9cad07 + .quad 0x3b0e574da2c2ebe8 + .quad 0x1d022591a5313084 + .quad 0xca2d4aaed6270872 + .quad 0x86a12b852f0bfd20 + .quad 0x56e6c439ad7da748 + .quad 0xc704ff4942bdbae6 + .quad 0x5e21ade2b2de1f79 + .quad 0xe95db3f35652fad8 + .quad 0x0822b5378f08ebc1 + + // 2^240 * 1 * G + + .quad 0x51f048478f387475 + .quad 0xb25dbcf49cbecb3c + .quad 0x9aab1244d99f2055 + .quad 0x2c709e6c1c10a5d6 + .quad 0xe1b7f29362730383 + .quad 0x4b5279ffebca8a2c + .quad 0xdafc778abfd41314 + .quad 0x7deb10149c72610f + .quad 0xcb62af6a8766ee7a + .quad 0x66cbec045553cd0e + .quad 0x588001380f0be4b5 + .quad 0x08e68e9ff62ce2ea + + // 2^240 * 2 * G + + .quad 0x34ad500a4bc130ad + .quad 0x8d38db493d0bd49c + .quad 0xa25c3d98500a89be + .quad 0x2f1f3f87eeba3b09 + .quad 0x2f2d09d50ab8f2f9 + .quad 0xacb9218dc55923df + .quad 0x4a8f342673766cb9 + .quad 0x4cb13bd738f719f5 + .quad 0xf7848c75e515b64a + .quad 0xa59501badb4a9038 + .quad 0xc20d313f3f751b50 + .quad 0x19a1e353c0ae2ee8 + + // 2^240 * 3 * G + + .quad 0x7d1c7560bafa05c3 + .quad 0xb3e1a0a0c6e55e61 + .quad 0xe3529718c0d66473 + .quad 0x41546b11c20c3486 + .quad 0xb42172cdd596bdbd + .quad 0x93e0454398eefc40 + .quad 0x9fb15347b44109b5 + .quad 0x736bd3990266ae34 + .quad 0x85532d509334b3b4 + .quad 0x46fd114b60816573 + .quad 0xcc5f5f30425c8375 + .quad 0x412295a2b87fab5c + + // 2^240 * 4 * G + + .quad 0x19c99b88f57ed6e9 + .quad 0x5393cb266df8c825 + .quad 0x5cee3213b30ad273 + .quad 0x14e153ebb52d2e34 + .quad 0x2e655261e293eac6 + .quad 0x845a92032133acdb + .quad 0x460975cb7900996b + .quad 0x0760bb8d195add80 + .quad 0x413e1a17cde6818a + .quad 0x57156da9ed69a084 + .quad 0x2cbf268f46caccb1 + .quad 0x6b34be9bc33ac5f2 + + // 2^240 * 5 * G + + .quad 0xf3df2f643a78c0b2 + .quad 0x4c3e971ef22e027c + .quad 0xec7d1c5e49c1b5a3 + .quad 0x2012c18f0922dd2d + .quad 0x11fc69656571f2d3 + .quad 0xc6c9e845530e737a + .quad 0xe33ae7a2d4fe5035 + .quad 0x01b9c7b62e6dd30b + .quad 0x880b55e55ac89d29 + .quad 0x1483241f45a0a763 + .quad 0x3d36efdfc2e76c1f + .quad 0x08af5b784e4bade8 + + // 2^240 * 6 * G + + .quad 0x283499dc881f2533 + .quad 0x9d0525da779323b6 + .quad 0x897addfb673441f4 + .quad 0x32b79d71163a168d + .quad 0xe27314d289cc2c4b + .quad 0x4be4bd11a287178d + .quad 0x18d528d6fa3364ce + .quad 0x6423c1d5afd9826e + .quad 0xcc85f8d9edfcb36a + .quad 0x22bcc28f3746e5f9 + .quad 0xe49de338f9e5d3cd + .quad 0x480a5efbc13e2dcc + + // 2^240 * 7 * G + + .quad 0x0b51e70b01622071 + .quad 0x06b505cf8b1dafc5 + .quad 0x2c6bb061ef5aabcd + .quad 0x47aa27600cb7bf31 + .quad 0xb6614ce442ce221f + .quad 0x6e199dcc4c053928 + .quad 0x663fb4a4dc1cbe03 + .quad 0x24b31d47691c8e06 + .quad 0x2a541eedc015f8c3 + .quad 0x11a4fe7e7c693f7c + .quad 0xf0af66134ea278d6 + .quad 0x545b585d14dda094 + + // 2^240 * 8 * G + + .quad 0x67bf275ea0d43a0f + .quad 0xade68e34089beebe + .quad 0x4289134cd479e72e + .quad 0x0f62f9c332ba5454 + .quad 0x6204e4d0e3b321e1 + .quad 0x3baa637a28ff1e95 + .quad 0x0b0ccffd5b99bd9e + .quad 0x4d22dc3e64c8d071 + .quad 0xfcb46589d63b5f39 + .quad 0x5cae6a3f57cbcf61 + .quad 0xfebac2d2953afa05 + .quad 0x1c0fa01a36371436 + + // 2^244 * 1 * G + + .quad 0xe7547449bc7cd692 + .quad 0x0f9abeaae6f73ddf + .quad 0x4af01ca700837e29 + .quad 0x63ab1b5d3f1bc183 + .quad 0xc11ee5e854c53fae + .quad 0x6a0b06c12b4f3ff4 + .quad 0x33540f80e0b67a72 + .quad 0x15f18fc3cd07e3ef + .quad 0x32750763b028f48c + .quad 0x06020740556a065f + .quad 0xd53bd812c3495b58 + .quad 0x08706c9b865f508d + + // 2^244 * 2 * G + + .quad 0xf37ca2ab3d343dff + .quad 0x1a8c6a2d80abc617 + .quad 0x8e49e035d4ccffca + .quad 0x48b46beebaa1d1b9 + .quad 0xcc991b4138b41246 + .quad 0x243b9c526f9ac26b + .quad 0xb9ef494db7cbabbd + .quad 0x5fba433dd082ed00 + .quad 0x9c49e355c9941ad0 + .quad 0xb9734ade74498f84 + .quad 0x41c3fed066663e5c + .quad 0x0ecfedf8e8e710b3 + + // 2^244 * 3 * G + + .quad 0x76430f9f9cd470d9 + .quad 0xb62acc9ba42f6008 + .quad 0x1898297c59adad5e + .quad 0x7789dd2db78c5080 + .quad 0x744f7463e9403762 + .quad 0xf79a8dee8dfcc9c9 + .quad 0x163a649655e4cde3 + .quad 0x3b61788db284f435 + .quad 0xb22228190d6ef6b2 + .quad 0xa94a66b246ce4bfa + .quad 0x46c1a77a4f0b6cc7 + .quad 0x4236ccffeb7338cf + + // 2^244 * 4 * G + + .quad 0x8497404d0d55e274 + .quad 0x6c6663d9c4ad2b53 + .quad 0xec2fb0d9ada95734 + .quad 0x2617e120cdb8f73c + .quad 0x3bd82dbfda777df6 + .quad 0x71b177cc0b98369e + .quad 0x1d0e8463850c3699 + .quad 0x5a71945b48e2d1f1 + .quad 0x6f203dd5405b4b42 + .quad 0x327ec60410b24509 + .quad 0x9c347230ac2a8846 + .quad 0x77de29fc11ffeb6a + + // 2^244 * 5 * G + + .quad 0xb0ac57c983b778a8 + .quad 0x53cdcca9d7fe912c + .quad 0x61c2b854ff1f59dc + .quad 0x3a1a2cf0f0de7dac + .quad 0x835e138fecced2ca + .quad 0x8c9eaf13ea963b9a + .quad 0xc95fbfc0b2160ea6 + .quad 0x575e66f3ad877892 + .quad 0x99803a27c88fcb3a + .quad 0x345a6789275ec0b0 + .quad 0x459789d0ff6c2be5 + .quad 0x62f882651e70a8b2 + + // 2^244 * 6 * G + + .quad 0x085ae2c759ff1be4 + .quad 0x149145c93b0e40b7 + .quad 0xc467e7fa7ff27379 + .quad 0x4eeecf0ad5c73a95 + .quad 0x6d822986698a19e0 + .quad 0xdc9821e174d78a71 + .quad 0x41a85f31f6cb1f47 + .quad 0x352721c2bcda9c51 + .quad 0x48329952213fc985 + .quad 0x1087cf0d368a1746 + .quad 0x8e5261b166c15aa5 + .quad 0x2d5b2d842ed24c21 + + // 2^244 * 7 * G + + .quad 0x02cfebd9ebd3ded1 + .quad 0xd45b217739021974 + .quad 0x7576f813fe30a1b7 + .quad 0x5691b6f9a34ef6c2 + .quad 0x5eb7d13d196ac533 + .quad 0x377234ecdb80be2b + .quad 0xe144cffc7cf5ae24 + .quad 0x5226bcf9c441acec + .quad 0x79ee6c7223e5b547 + .quad 0x6f5f50768330d679 + .quad 0xed73e1e96d8adce9 + .quad 0x27c3da1e1d8ccc03 + + // 2^244 * 8 * G + + .quad 0x7eb9efb23fe24c74 + .quad 0x3e50f49f1651be01 + .quad 0x3ea732dc21858dea + .quad 0x17377bd75bb810f9 + .quad 0x28302e71630ef9f6 + .quad 0xc2d4a2032b64cee0 + .quad 0x090820304b6292be + .quad 0x5fca747aa82adf18 + .quad 0x232a03c35c258ea5 + .quad 0x86f23a2c6bcb0cf1 + .quad 0x3dad8d0d2e442166 + .quad 0x04a8933cab76862b + + // 2^248 * 1 * G + + .quad 0xd2c604b622943dff + .quad 0xbc8cbece44cfb3a0 + .quad 0x5d254ff397808678 + .quad 0x0fa3614f3b1ca6bf + .quad 0x69082b0e8c936a50 + .quad 0xf9c9a035c1dac5b6 + .quad 0x6fb73e54c4dfb634 + .quad 0x4005419b1d2bc140 + .quad 0xa003febdb9be82f0 + .quad 0x2089c1af3a44ac90 + .quad 0xf8499f911954fa8e + .quad 0x1fba218aef40ab42 + + // 2^248 * 2 * G + + .quad 0xab549448fac8f53e + .quad 0x81f6e89a7ba63741 + .quad 0x74fd6c7d6c2b5e01 + .quad 0x392e3acaa8c86e42 + .quad 0x4f3e57043e7b0194 + .quad 0xa81d3eee08daaf7f + .quad 0xc839c6ab99dcdef1 + .quad 0x6c535d13ff7761d5 + .quad 0x4cbd34e93e8a35af + .quad 0x2e0781445887e816 + .quad 0x19319c76f29ab0ab + .quad 0x25e17fe4d50ac13b + + // 2^248 * 3 * G + + .quad 0x0a289bd71e04f676 + .quad 0x208e1c52d6420f95 + .quad 0x5186d8b034691fab + .quad 0x255751442a9fb351 + .quad 0x915f7ff576f121a7 + .quad 0xc34a32272fcd87e3 + .quad 0xccba2fde4d1be526 + .quad 0x6bba828f8969899b + .quad 0xe2d1bc6690fe3901 + .quad 0x4cb54a18a0997ad5 + .quad 0x971d6914af8460d4 + .quad 0x559d504f7f6b7be4 + + // 2^248 * 4 * G + + .quad 0xa7738378b3eb54d5 + .quad 0x1d69d366a5553c7c + .quad 0x0a26cf62f92800ba + .quad 0x01ab12d5807e3217 + .quad 0x9c4891e7f6d266fd + .quad 0x0744a19b0307781b + .quad 0x88388f1d6061e23b + .quad 0x123ea6a3354bd50e + .quad 0x118d189041e32d96 + .quad 0xb9ede3c2d8315848 + .quad 0x1eab4271d83245d9 + .quad 0x4a3961e2c918a154 + + // 2^248 * 5 * G + + .quad 0x71dc3be0f8e6bba0 + .quad 0xd6cef8347effe30a + .quad 0xa992425fe13a476a + .quad 0x2cd6bce3fb1db763 + .quad 0x0327d644f3233f1e + .quad 0x499a260e34fcf016 + .quad 0x83b5a716f2dab979 + .quad 0x68aceead9bd4111f + .quad 0x38b4c90ef3d7c210 + .quad 0x308e6e24b7ad040c + .quad 0x3860d9f1b7e73e23 + .quad 0x595760d5b508f597 + + // 2^248 * 6 * G + + .quad 0x6129bfe104aa6397 + .quad 0x8f960008a4a7fccb + .quad 0x3f8bc0897d909458 + .quad 0x709fa43edcb291a9 + .quad 0x882acbebfd022790 + .quad 0x89af3305c4115760 + .quad 0x65f492e37d3473f4 + .quad 0x2cb2c5df54515a2b + .quad 0xeb0a5d8c63fd2aca + .quad 0xd22bc1662e694eff + .quad 0x2723f36ef8cbb03a + .quad 0x70f029ecf0c8131f + + // 2^248 * 7 * G + + .quad 0x461307b32eed3e33 + .quad 0xae042f33a45581e7 + .quad 0xc94449d3195f0366 + .quad 0x0b7d5d8a6c314858 + .quad 0x2a6aafaa5e10b0b9 + .quad 0x78f0a370ef041aa9 + .quad 0x773efb77aa3ad61f + .quad 0x44eca5a2a74bd9e1 + .quad 0x25d448327b95d543 + .quad 0x70d38300a3340f1d + .quad 0xde1c531c60e1c52b + .quad 0x272224512c7de9e4 + + // 2^248 * 8 * G + + .quad 0x1abc92af49c5342e + .quad 0xffeed811b2e6fad0 + .quad 0xefa28c8dfcc84e29 + .quad 0x11b5df18a44cc543 + .quad 0xbf7bbb8a42a975fc + .quad 0x8c5c397796ada358 + .quad 0xe27fc76fcdedaa48 + .quad 0x19735fd7f6bc20a6 + .quad 0xe3ab90d042c84266 + .quad 0xeb848e0f7f19547e + .quad 0x2503a1d065a497b9 + .quad 0x0fef911191df895f + + // 2^252 * 1 * G + + .quad 0xb1507ca1ab1c6eb9 + .quad 0xbd448f3e16b687b3 + .quad 0x3455fb7f2c7a91ab + .quad 0x7579229e2f2adec1 + .quad 0x6ab5dcb85b1c16b7 + .quad 0x94c0fce83c7b27a5 + .quad 0xa4b11c1a735517be + .quad 0x499238d0ba0eafaa + .quad 0xecf46e527aba8b57 + .quad 0x15a08c478bd1647b + .quad 0x7af1c6a65f706fef + .quad 0x6345fa78f03a30d5 + + // 2^252 * 2 * G + + .quad 0xdf02f95f1015e7a1 + .quad 0x790ec41da9b40263 + .quad 0x4d3a0ea133ea1107 + .quad 0x54f70be7e33af8c9 + .quad 0x93d3cbe9bdd8f0a4 + .quad 0xdb152c1bfd177302 + .quad 0x7dbddc6d7f17a875 + .quad 0x3e1a71cc8f426efe + .quad 0xc83ca3e390babd62 + .quad 0x80ede3670291c833 + .quad 0xc88038ccd37900c4 + .quad 0x2c5fc0231ec31fa1 + + // 2^252 * 3 * G + + .quad 0xfeba911717038b4f + .quad 0xe5123721c9deef81 + .quad 0x1c97e4e75d0d8834 + .quad 0x68afae7a23dc3bc6 + .quad 0xc422e4d102456e65 + .quad 0x87414ac1cad47b91 + .quad 0x1592e2bba2b6ffdd + .quad 0x75d9d2bff5c2100f + .quad 0x5bd9b4763626e81c + .quad 0x89966936bca02edd + .quad 0x0a41193d61f077b3 + .quad 0x3097a24200ce5471 + + // 2^252 * 4 * G + + .quad 0x57427734c7f8b84c + .quad 0xf141a13e01b270e9 + .quad 0x02d1adfeb4e564a6 + .quad 0x4bb23d92ce83bd48 + .quad 0xa162e7246695c486 + .quad 0x131d633435a89607 + .quad 0x30521561a0d12a37 + .quad 0x56704bada6afb363 + .quad 0xaf6c4aa752f912b9 + .quad 0x5e665f6cd86770c8 + .quad 0x4c35ac83a3c8cd58 + .quad 0x2b7a29c010a58a7e + + // 2^252 * 5 * G + + .quad 0xc4007f77d0c1cec3 + .quad 0x8d1020b6bac492f8 + .quad 0x32ec29d57e69daaf + .quad 0x599408759d95fce0 + .quad 0x33810a23bf00086e + .quad 0xafce925ee736ff7c + .quad 0x3d60e670e24922d4 + .quad 0x11ce9e714f96061b + .quad 0x219ef713d815bac1 + .quad 0xf141465d485be25c + .quad 0x6d5447cc4e513c51 + .quad 0x174926be5ef44393 + + // 2^252 * 6 * G + + .quad 0xb5deb2f9fc5bd5bb + .quad 0x92daa72ae1d810e1 + .quad 0xafc4cfdcb72a1c59 + .quad 0x497d78813fc22a24 + .quad 0x3ef5d41593ea022e + .quad 0x5cbcc1a20ed0eed6 + .quad 0x8fd24ecf07382c8c + .quad 0x6fa42ead06d8e1ad + .quad 0xe276824a1f73371f + .quad 0x7f7cf01c4f5b6736 + .quad 0x7e201fe304fa46e7 + .quad 0x785a36a357808c96 + + // 2^252 * 7 * G + + .quad 0x825fbdfd63014d2b + .quad 0xc852369c6ca7578b + .quad 0x5b2fcd285c0b5df0 + .quad 0x12ab214c58048c8f + .quad 0x070442985d517bc3 + .quad 0x6acd56c7ae653678 + .quad 0x00a27983985a7763 + .quad 0x5167effae512662b + .quad 0xbd4ea9e10f53c4b6 + .quad 0x1673dc5f8ac91a14 + .quad 0xa8f81a4e2acc1aba + .quad 0x33a92a7924332a25 + + // 2^252 * 8 * G + + .quad 0x9dd1f49927996c02 + .quad 0x0cb3b058e04d1752 + .quad 0x1f7e88967fd02c3e + .quad 0x2f964268cb8b3eb1 + .quad 0x7ba95ba0218f2ada + .quad 0xcff42287330fb9ca + .quad 0xdada496d56c6d907 + .quad 0x5380c296f4beee54 + .quad 0x9d4f270466898d0a + .quad 0x3d0987990aff3f7a + .quad 0xd09ef36267daba45 + .quad 0x7761455e7b1c669c diff --git a/cbits/s2n/arm/curve25519_x25519base_alt.S b/cbits/s2n/arm/curve25519_x25519base_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/curve25519_x25519base_alt.S @@ -0,0 +1,9434 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// The x25519 function for curve25519 on base element 9 +// Input scalar[4]; output res[4] +// +// extern void curve25519_x25519base_alt +// (uint64_t res[static 4],const uint64_t scalar[static 4]); +// +// Given a scalar n, returns the X coordinate of n * G where G = (9,...) is +// the standard generator. The scalar is first slightly modified/mangled +// as specified in the relevant RFC (https://www.rfc-editor.org/rfc/rfc7748). +// +// Standard ARM ABI: X0 = res, X1 = scalar +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(curve25519_x25519base_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(curve25519_x25519base_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(curve25519_x25519base_alt) + + .text + .balign 4 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Stable home for the input result argument during the whole body + +#define res x23 + +// Other variables that are only needed prior to the modular inverse. + +#define tab x19 + +#define i x20 + +#define bias x21 + +#define bf x22 +#define ix x22 + +// Pointer-offset pairs for result and temporaries on stack with some aliasing. + +#define resx res, #(0*NUMSIZE) + +#define scalar sp, #(0*NUMSIZE) + +#define tabent sp, #(1*NUMSIZE) +#define ymx_2 sp, #(1*NUMSIZE) +#define xpy_2 sp, #(2*NUMSIZE) +#define kxy_2 sp, #(3*NUMSIZE) + +#define acc sp, #(4*NUMSIZE) +#define x_1 sp, #(4*NUMSIZE) +#define y_1 sp, #(5*NUMSIZE) +#define z_1 sp, #(6*NUMSIZE) +#define w_1 sp, #(7*NUMSIZE) +#define x_3 sp, #(4*NUMSIZE) +#define y_3 sp, #(5*NUMSIZE) +#define z_3 sp, #(6*NUMSIZE) +#define w_3 sp, #(7*NUMSIZE) + +#define tmpspace sp, #(8*NUMSIZE) +#define t0 sp, #(8*NUMSIZE) +#define t1 sp, #(9*NUMSIZE) +#define t2 sp, #(10*NUMSIZE) +#define t3 sp, #(11*NUMSIZE) +#define t4 sp, #(12*NUMSIZE) +#define t5 sp, #(13*NUMSIZE) + +// Total size to reserve on the stack + +#define NSPACE 14*NUMSIZE + +// Macro wrapping up the basic field operation bignum_mul_p25519_alt, only +// trivially different from a pure function call to that subroutine. + +#define mul_p25519(P0,P1,P2) \ + ldp x3, x4, [P1] __LF \ + ldp x7, x8, [P2] __LF \ + mul x12, x3, x7 __LF \ + umulh x13, x3, x7 __LF \ + mul x11, x3, x8 __LF \ + umulh x14, x3, x8 __LF \ + adds x13, x13, x11 __LF \ + ldp x9, x10, [P2+16] __LF \ + mul x11, x3, x9 __LF \ + umulh x15, x3, x9 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x3, x10 __LF \ + umulh x16, x3, x10 __LF \ + adcs x15, x15, x11 __LF \ + adc x16, x16, xzr __LF \ + ldp x5, x6, [P1+16] __LF \ + mul x11, x4, x7 __LF \ + adds x13, x13, x11 __LF \ + mul x11, x4, x8 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x4, x9 __LF \ + adcs x15, x15, x11 __LF \ + mul x11, x4, x10 __LF \ + adcs x16, x16, x11 __LF \ + umulh x3, x4, x10 __LF \ + adc x3, x3, xzr __LF \ + umulh x11, x4, x7 __LF \ + adds x14, x14, x11 __LF \ + umulh x11, x4, x8 __LF \ + adcs x15, x15, x11 __LF \ + umulh x11, x4, x9 __LF \ + adcs x16, x16, x11 __LF \ + adc x3, x3, xzr __LF \ + mul x11, x5, x7 __LF \ + adds x14, x14, x11 __LF \ + mul x11, x5, x8 __LF \ + adcs x15, x15, x11 __LF \ + mul x11, x5, x9 __LF \ + adcs x16, x16, x11 __LF \ + mul x11, x5, x10 __LF \ + adcs x3, x3, x11 __LF \ + umulh x4, x5, x10 __LF \ + adc x4, x4, xzr __LF \ + umulh x11, x5, x7 __LF \ + adds x15, x15, x11 __LF \ + umulh x11, x5, x8 __LF \ + adcs x16, x16, x11 __LF \ + umulh x11, x5, x9 __LF \ + adcs x3, x3, x11 __LF \ + adc x4, x4, xzr __LF \ + mul x11, x6, x7 __LF \ + adds x15, x15, x11 __LF \ + mul x11, x6, x8 __LF \ + adcs x16, x16, x11 __LF \ + mul x11, x6, x9 __LF \ + adcs x3, x3, x11 __LF \ + mul x11, x6, x10 __LF \ + adcs x4, x4, x11 __LF \ + umulh x5, x6, x10 __LF \ + adc x5, x5, xzr __LF \ + umulh x11, x6, x7 __LF \ + adds x16, x16, x11 __LF \ + umulh x11, x6, x8 __LF \ + adcs x3, x3, x11 __LF \ + umulh x11, x6, x9 __LF \ + adcs x4, x4, x11 __LF \ + adc x5, x5, xzr __LF \ + mov x7, #0x26 __LF \ + mul x11, x7, x16 __LF \ + umulh x9, x7, x16 __LF \ + adds x12, x12, x11 __LF \ + mul x11, x7, x3 __LF \ + umulh x3, x7, x3 __LF \ + adcs x13, x13, x11 __LF \ + mul x11, x7, x4 __LF \ + umulh x4, x7, x4 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x7, x5 __LF \ + umulh x5, x7, x5 __LF \ + adcs x15, x15, x11 __LF \ + cset x16, cs __LF \ + adds x15, x15, x4 __LF \ + adc x16, x16, x5 __LF \ + cmn x15, x15 __LF \ + orr x15, x15, #0x8000000000000000 __LF \ + adc x8, x16, x16 __LF \ + mov x7, #0x13 __LF \ + madd x11, x7, x8, x7 __LF \ + adds x12, x12, x11 __LF \ + adcs x13, x13, x9 __LF \ + adcs x14, x14, x3 __LF \ + adcs x15, x15, xzr __LF \ + csel x7, x7, xzr, cc __LF \ + subs x12, x12, x7 __LF \ + sbcs x13, x13, xzr __LF \ + sbcs x14, x14, xzr __LF \ + sbc x15, x15, xzr __LF \ + and x15, x15, #0x7fffffffffffffff __LF \ + stp x12, x13, [P0] __LF \ + stp x14, x15, [P0+16] + +// A version of multiplication that only guarantees output < 2 * p_25519. +// This basically skips the +1 and final correction in quotient estimation. + +#define mul_4(P0,P1,P2) \ + ldp x3, x4, [P1] __LF \ + ldp x7, x8, [P2] __LF \ + mul x12, x3, x7 __LF \ + umulh x13, x3, x7 __LF \ + mul x11, x3, x8 __LF \ + umulh x14, x3, x8 __LF \ + adds x13, x13, x11 __LF \ + ldp x9, x10, [P2+16] __LF \ + mul x11, x3, x9 __LF \ + umulh x15, x3, x9 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x3, x10 __LF \ + umulh x16, x3, x10 __LF \ + adcs x15, x15, x11 __LF \ + adc x16, x16, xzr __LF \ + ldp x5, x6, [P1+16] __LF \ + mul x11, x4, x7 __LF \ + adds x13, x13, x11 __LF \ + mul x11, x4, x8 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x4, x9 __LF \ + adcs x15, x15, x11 __LF \ + mul x11, x4, x10 __LF \ + adcs x16, x16, x11 __LF \ + umulh x3, x4, x10 __LF \ + adc x3, x3, xzr __LF \ + umulh x11, x4, x7 __LF \ + adds x14, x14, x11 __LF \ + umulh x11, x4, x8 __LF \ + adcs x15, x15, x11 __LF \ + umulh x11, x4, x9 __LF \ + adcs x16, x16, x11 __LF \ + adc x3, x3, xzr __LF \ + mul x11, x5, x7 __LF \ + adds x14, x14, x11 __LF \ + mul x11, x5, x8 __LF \ + adcs x15, x15, x11 __LF \ + mul x11, x5, x9 __LF \ + adcs x16, x16, x11 __LF \ + mul x11, x5, x10 __LF \ + adcs x3, x3, x11 __LF \ + umulh x4, x5, x10 __LF \ + adc x4, x4, xzr __LF \ + umulh x11, x5, x7 __LF \ + adds x15, x15, x11 __LF \ + umulh x11, x5, x8 __LF \ + adcs x16, x16, x11 __LF \ + umulh x11, x5, x9 __LF \ + adcs x3, x3, x11 __LF \ + adc x4, x4, xzr __LF \ + mul x11, x6, x7 __LF \ + adds x15, x15, x11 __LF \ + mul x11, x6, x8 __LF \ + adcs x16, x16, x11 __LF \ + mul x11, x6, x9 __LF \ + adcs x3, x3, x11 __LF \ + mul x11, x6, x10 __LF \ + adcs x4, x4, x11 __LF \ + umulh x5, x6, x10 __LF \ + adc x5, x5, xzr __LF \ + umulh x11, x6, x7 __LF \ + adds x16, x16, x11 __LF \ + umulh x11, x6, x8 __LF \ + adcs x3, x3, x11 __LF \ + umulh x11, x6, x9 __LF \ + adcs x4, x4, x11 __LF \ + adc x5, x5, xzr __LF \ + mov x7, #0x26 __LF \ + mul x11, x7, x16 __LF \ + umulh x9, x7, x16 __LF \ + adds x12, x12, x11 __LF \ + mul x11, x7, x3 __LF \ + umulh x3, x7, x3 __LF \ + adcs x13, x13, x11 __LF \ + mul x11, x7, x4 __LF \ + umulh x4, x7, x4 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x7, x5 __LF \ + umulh x5, x7, x5 __LF \ + adcs x15, x15, x11 __LF \ + cset x16, cs __LF \ + adds x15, x15, x4 __LF \ + adc x16, x16, x5 __LF \ + cmn x15, x15 __LF \ + bic x15, x15, #0x8000000000000000 __LF \ + adc x8, x16, x16 __LF \ + mov x7, #0x13 __LF \ + mul x11, x7, x8 __LF \ + adds x12, x12, x11 __LF \ + adcs x13, x13, x9 __LF \ + adcs x14, x14, x3 __LF \ + adc x15, x15, xzr __LF \ + stp x12, x13, [P0] __LF \ + stp x14, x15, [P0+16] + +// Modular subtraction with double modulus 2 * p_25519 = 2^256 - 38 + +#define sub_twice4(P0,P1,P2) \ + ldp x5, x6, [P1] __LF \ + ldp x4, x3, [P2] __LF \ + subs x5, x5, x4 __LF \ + sbcs x6, x6, x3 __LF \ + ldp x7, x8, [P1+16] __LF \ + ldp x4, x3, [P2+16] __LF \ + sbcs x7, x7, x4 __LF \ + sbcs x8, x8, x3 __LF \ + mov x4, #38 __LF \ + csel x3, x4, xzr, lo __LF \ + subs x5, x5, x3 __LF \ + sbcs x6, x6, xzr __LF \ + sbcs x7, x7, xzr __LF \ + sbc x8, x8, xzr __LF \ + stp x5, x6, [P0] __LF \ + stp x7, x8, [P0+16] + +// Modular addition and doubling with double modulus 2 * p_25519 = 2^256 - 38. +// This only ensures that the result fits in 4 digits, not that it is reduced +// even w.r.t. double modulus. The result is always correct modulo provided +// the sum of the inputs is < 2^256 + 2^256 - 38, so in particular provided +// at least one of them is reduced double modulo. + +#define add_twice4(P0,P1,P2) \ + ldp x3, x4, [P1] __LF \ + ldp x7, x8, [P2] __LF \ + adds x3, x3, x7 __LF \ + adcs x4, x4, x8 __LF \ + ldp x5, x6, [P1+16] __LF \ + ldp x7, x8, [P2+16] __LF \ + adcs x5, x5, x7 __LF \ + adcs x6, x6, x8 __LF \ + mov x9, #38 __LF \ + csel x9, x9, xzr, cs __LF \ + adds x3, x3, x9 __LF \ + adcs x4, x4, xzr __LF \ + adcs x5, x5, xzr __LF \ + adc x6, x6, xzr __LF \ + stp x3, x4, [P0] __LF \ + stp x5, x6, [P0+16] + +#define double_twice4(P0,P1) \ + ldp x3, x4, [P1] __LF \ + adds x3, x3, x3 __LF \ + adcs x4, x4, x4 __LF \ + ldp x5, x6, [P1+16] __LF \ + adcs x5, x5, x5 __LF \ + adcs x6, x6, x6 __LF \ + mov x9, #38 __LF \ + csel x9, x9, xzr, cs __LF \ + adds x3, x3, x9 __LF \ + adcs x4, x4, xzr __LF \ + adcs x5, x5, xzr __LF \ + adc x6, x6, xzr __LF \ + stp x3, x4, [P0] __LF \ + stp x5, x6, [P0+16] + +S2N_BN_SYMBOL(curve25519_x25519base_alt): + CFI_START + +// Save regs and make room for temporaries + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_DEC_SP(NSPACE) + +// Move the output pointer to a stable place + + mov res, x0 + +// Copy the input scalar to its local variable while mangling it. +// In principle the mangling is into 01xxx...xxx000, but actually +// we only clear the top two bits so 00xxx...xxxxxx. The additional +// 2^254 * G is taken care of by the starting value for the addition +// chain below, while we never look at the three low bits at all. + + ldp x10, x11, [x1] + stp x10, x11, [scalar] + ldp x12, x13, [x1, #16] + bic x13, x13, #0xc000000000000000 + stp x12, x13, [scalar+16] + +// The main part of the computation is on the edwards25519 curve in +// extended-projective coordinates (X,Y,Z,T), representing a point +// (x,y) via x = X/Z, y = Y/Z and x * y = T/Z (so X * Y = T * Z). +// Only at the very end do we translate back to curve25519. So G +// below means the generator within edwards25519 corresponding to +// (9,...) for curve25519, via the standard isomorphism. +// +// Initialize accumulator "acc" to either (2^254 + 8) * G or just 2^254 * G +// depending on bit 3 of the scalar, the only nonzero bit of the bottom 4. +// Thus, we have effectively dealt with bits 0, 1, 2, 3, 254 and 255. + + ldr x0, [scalar] + ands xzr, x0, #8 + +#if defined(__ELF__) + adrp tab, S2N_BN_SYMBOL(curve25519_x25519base_alt_constant) + add tab, tab, :lo12:S2N_BN_SYMBOL(curve25519_x25519base_alt_constant) +#else + adrp tab, S2N_BN_SYMBOL(curve25519_x25519base_alt_constant)@PAGE + add tab, tab, S2N_BN_SYMBOL(curve25519_x25519base_alt_constant)@PAGEOFF +#endif + + ldp x0, x1, [tab] + ldp x2, x3, [tab, #96] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc] + + ldp x0, x1, [tab, #1*16] + ldp x2, x3, [tab, #96+1*16] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc+1*16] + + ldp x0, x1, [tab, #2*16] + ldp x2, x3, [tab, #96+2*16] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc+2*16] + + ldp x0, x1, [tab, #3*16] + ldp x2, x3, [tab, #96+3*16] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc+3*16] + + mov x0, #1 + stp x0, xzr, [acc+4*16] + stp xzr, xzr, [acc+5*16] + + ldp x0, x1, [tab, #4*16] + ldp x2, x3, [tab, #96+4*16] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc+6*16] + + ldp x0, x1, [tab, #5*16] + ldp x2, x3, [tab, #96+5*16] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc+7*16] + +// The counter "i" tracks the bit position for which the scalar has +// already been absorbed, starting at 4 and going up in chunks of 4. +// +// The pointer "tab" points at the current block of the table for +// multiples (2^i * j) * G at the current bit position i; 1 <= j <= 8. +// +// The bias is always either 0 and 1 and needs to be added to the +// partially processed scalar implicitly. This is used to absorb 4 bits +// of scalar per iteration from 3-bit table indexing by exploiting +// negation: (16 * h + l) * G = (16 * (h + 1) - (16 - l)) * G is used +// when l >= 9. Note that we can't have any bias left over at the +// end because of the clearing of bit 255 of the scalar, meaning the +// l >= 9 case cannot arise on the last iteration. + + mov i, 4 + add tab, tab, #192 + mov bias, xzr + +// Start of the main loop, repeated 63 times for i = 4, 8, ..., 252 + +Lcurve25519_x25519base_alt_scalarloop: + +// Look at the next 4-bit field "bf", adding the previous bias as well. +// Choose the table index "ix" as bf when bf <= 8 and 16 - bf for bf >= 9, +// setting the bias to 1 for the next iteration in the latter case. + + lsr x0, i, #6 + ldr x2, [sp, x0, lsl #3] // Exploiting scalar = sp exactly + lsr x2, x2, i + and x2, x2, #15 + add bf, x2, bias + + cmp bf, 9 + cset bias, cs + + mov x0, 16 + sub x0, x0, bf + cmp bias, xzr + csel ix, x0, bf, ne + +// Perform constant-time lookup in the table to get element number "ix". +// The table entry for the affine point (x,y) is actually a triple +// (y - x,x + y,2 * d * x * y) to precompute parts of the addition. +// Note that "ix" can be 0, so we set up the appropriate identity first. + + mov x0, #1 + mov x1, xzr + mov x2, xzr + mov x3, xzr + mov x4, #1 + mov x5, xzr + mov x6, xzr + mov x7, xzr + mov x8, xzr + mov x9, xzr + mov x10, xzr + mov x11, xzr + + cmp ix, #1 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #2 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #3 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #4 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #5 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #6 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #7 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #8 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + +// We now have the triple from the table in registers as follows +// +// [x3;x2;x1;x0] = y - x +// [x7;x6;x5;x4] = x + y +// [x11;x10;x9;x8] = 2 * d * x * y +// +// In case bias = 1 we need to negate this. For Edwards curves +// -(x,y) = (-x,y), i.e. we need to negate the x coordinate. +// In this processed encoding, that amounts to swapping the +// first two fields and negating the third. +// +// The optional negation here also pretends bias = 0 whenever +// ix = 0 so that it doesn't need to handle the case of zero +// inputs, since no non-trivial table entries are zero. Note +// that in the zero case the whole negation is trivial, and +// so indeed is the swapping. + + cmp bias, #0 + + csel x12, x0, x4, eq + csel x13, x1, x5, eq + csel x14, x2, x6, eq + csel x15, x3, x7, eq + stp x12, x13, [tabent] + stp x14, x15, [tabent+16] + + csel x12, x0, x4, ne + csel x13, x1, x5, ne + csel x14, x2, x6, ne + csel x15, x3, x7, ne + stp x12, x13, [tabent+32] + stp x14, x15, [tabent+48] + + mov x0, #-19 + subs x0, x0, x8 + mov x2, #-1 + sbcs x1, x2, x9 + sbcs x2, x2, x10 + mov x3, #0x7FFFFFFFFFFFFFFF + sbc x3, x3, x11 + + cmp ix, xzr + ccmp bias, xzr, #4, ne + + csel x0, x0, x8, ne + csel x1, x1, x9, ne + stp x0, x1, [tabent+64] + csel x2, x2, x10, ne + csel x3, x3, x11, ne + stp x2, x3, [tabent+80] + +// Extended-projective and precomputed mixed addition. +// This is effectively the same as calling the standalone +// function edwards25519_pepadd(acc,acc,tabent), but we +// only retain slightly weaker normalization < 2 * p_25519 +// throughout the inner loop, so the computation is +// slightly different, and faster overall. + + double_twice4(t0,z_1) + sub_twice4(t1,y_1,x_1) + add_twice4(t2,y_1,x_1) + mul_4(t3,w_1,kxy_2) + mul_4(t1,t1,ymx_2) + mul_4(t2,t2,xpy_2) + sub_twice4(t4,t0,t3) + add_twice4(t0,t0,t3) + sub_twice4(t5,t2,t1) + add_twice4(t1,t2,t1) + mul_4(z_3,t4,t0) + mul_4(x_3,t5,t4) + mul_4(y_3,t0,t1) + mul_4(w_3,t5,t1) + +// End of the main loop; move on by 4 bits. + + add i, i, 4 + cmp i, 256 + bcc Lcurve25519_x25519base_alt_scalarloop + +// Now we need to translate from Edwards curve edwards25519 back +// to the Montgomery form curve25519. The mapping in the affine +// representations is +// +// (x,y) |-> ((1 + y) / (1 - y), c * (1 + y) / ((1 - y) * x)) +// +// For x25519, we only need the x coordinate, and we compute this as +// +// (1 + y) / (1 - y) = (x + x * y) / (x - x * y) +// = (X/Z + T/Z) / (X/Z - T/Z) +// = (X + T) / (X - T) +// = (X + T) * inverse(X - T) +// +// We could equally well use (Z + Y) / (Z - Y), but the above has the +// same cost, and it more explicitly forces zero output whenever X = 0, +// regardless of how the modular inverse behaves on zero inputs. In +// the present setting (base point 9, mangled scalar) that doesn't +// really matter anyway since X = 0 never arises, but it seems a +// little bit tidier. Note that both Edwards point (0,1) which maps to +// the Montgomery point at infinity, and Edwards (0,-1) which maps to +// Montgomery (0,0) [this is the 2-torsion point] are both by definition +// mapped to 0 by the X coordinate mapping used to define curve25519. +// +// First the addition and subtraction: + + add_twice4(t1,x_3,w_3) + sub_twice4(t2,x_3,w_3) + +// Prepare to call the modular inverse function to get t0 = 1/t2 +// Note that this works for the weakly normalized z_3 equally well. +// The non-coprime case z_3 == 0 (mod p_25519) cannot arise anyway. + + add x0, t0 + add x1, t2 + +// Inline copy of bignum_inv_p25519, identical except for stripping out +// the prologue and epilogue saving and restoring registers and making +// and reclaiming room on the stack. For more details and explanations see +// "arm/curve25519/bignum_inv_p25519.S". Note that the stack it uses for +// its own temporaries is 128 bytes, so it has no effect on variables +// that are needed in the rest of our computation here: res, t0, t1, t2. + + mov x20, x0 + mov x10, #0xffffffffffffffed + mov x11, #0xffffffffffffffff + stp x10, x11, [sp] + mov x12, #0x7fffffffffffffff + stp x11, x12, [sp, #16] + ldp x2, x3, [x1] + ldp x4, x5, [x1, #16] + mov x7, #0x13 + lsr x6, x5, #63 + madd x6, x7, x6, x7 + adds x2, x2, x6 + adcs x3, x3, xzr + adcs x4, x4, xzr + orr x5, x5, #0x8000000000000000 + adcs x5, x5, xzr + csel x6, x7, xzr, cc + subs x2, x2, x6 + sbcs x3, x3, xzr + sbcs x4, x4, xzr + sbc x5, x5, xzr + and x5, x5, #0x7fffffffffffffff + stp x2, x3, [sp, #32] + stp x4, x5, [sp, #48] + stp xzr, xzr, [sp, #64] + stp xzr, xzr, [sp, #80] + mov x10, #0x2099 + movk x10, #0x7502, lsl #16 + movk x10, #0x9e23, lsl #32 + movk x10, #0xa0f9, lsl #48 + mov x11, #0x2595 + movk x11, #0x1d13, lsl #16 + movk x11, #0x8f3f, lsl #32 + movk x11, #0xa8c6, lsl #48 + mov x12, #0x5242 + movk x12, #0x5ac, lsl #16 + movk x12, #0x8938, lsl #32 + movk x12, #0x6c6c, lsl #48 + mov x13, #0x615 + movk x13, #0x4177, lsl #16 + movk x13, #0x8b2, lsl #32 + movk x13, #0x2765, lsl #48 + stp x10, x11, [sp, #96] + stp x12, x13, [sp, #112] + mov x21, #0xa + mov x22, #0x1 + b Lcurve25519_x25519base_alt_invmidloop +Lcurve25519_x25519base_alt_invloop: + cmp x10, xzr + csetm x14, mi + cneg x10, x10, mi + cmp x11, xzr + csetm x15, mi + cneg x11, x11, mi + cmp x12, xzr + csetm x16, mi + cneg x12, x12, mi + cmp x13, xzr + csetm x17, mi + cneg x13, x13, mi + and x0, x10, x14 + and x1, x11, x15 + add x9, x0, x1 + and x0, x12, x16 + and x1, x13, x17 + add x19, x0, x1 + ldr x7, [sp] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #32] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + adc x2, x2, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x5, x19, x0 + adc x3, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x7, [sp, #8] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #40] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + adc x6, x6, x1 + extr x4, x2, x4, #59 + str x4, [sp] + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x3, x3, x0 + adc x4, x4, x1 + extr x5, x3, x5, #59 + str x5, [sp, #32] + ldr x7, [sp, #16] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #48] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + adc x5, x5, x1 + extr x2, x6, x2, #59 + str x2, [sp, #8] + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x4, x4, x0 + adc x2, x2, x1 + extr x3, x4, x3, #59 + str x3, [sp, #40] + ldr x7, [sp, #24] + eor x1, x7, x14 + asr x3, x1, #63 + and x3, x3, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #56] + eor x1, x8, x15 + asr x0, x1, #63 + and x0, x0, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x5, x6, #59 + str x6, [sp, #16] + extr x5, x3, x5, #59 + str x5, [sp, #24] + eor x1, x7, x16 + asr x5, x1, #63 + and x5, x5, x12 + neg x5, x5 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, x17 + asr x0, x1, #63 + and x0, x0, x13 + sub x5, x5, x0 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x2, x2, x0 + adc x5, x5, x1 + extr x4, x2, x4, #59 + str x4, [sp, #48] + extr x2, x5, x2, #59 + str x2, [sp, #56] + ldr x7, [sp, #64] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #96] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + str x4, [sp, #64] + adc x2, x2, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x5, x19, x0 + adc x3, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x5, x5, x0 + str x5, [sp, #96] + adc x3, x3, x1 + ldr x7, [sp, #72] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #104] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + str x2, [sp, #72] + adc x6, x6, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x3, x3, x0 + str x3, [sp, #104] + adc x4, x4, x1 + ldr x7, [sp, #80] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #112] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + str x6, [sp, #80] + adc x5, x5, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x4, x4, x0 + str x4, [sp, #112] + adc x2, x2, x1 + ldr x7, [sp, #88] + eor x1, x7, x14 + and x3, x14, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #120] + eor x1, x8, x15 + and x0, x15, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x3, x5, #63 + ldp x0, x1, [sp, #64] + add x6, x6, x3, asr #63 + mov x3, #0x13 + mul x4, x6, x3 + add x5, x5, x6, lsl #63 + smulh x3, x6, x3 + ldr x6, [sp, #80] + adds x0, x0, x4 + adcs x1, x1, x3 + asr x3, x3, #63 + adcs x6, x6, x3 + adc x5, x5, x3 + stp x0, x1, [sp, #64] + stp x6, x5, [sp, #80] + eor x1, x7, x16 + and x5, x16, x12 + neg x5, x5 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, x17 + and x0, x17, x13 + sub x5, x5, x0 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x2, x2, x0 + adc x5, x5, x1 + extr x6, x5, x2, #63 + ldp x0, x1, [sp, #96] + add x6, x6, x5, asr #63 + mov x5, #0x13 + mul x4, x6, x5 + add x2, x2, x6, lsl #63 + smulh x5, x6, x5 + ldr x3, [sp, #112] + adds x0, x0, x4 + adcs x1, x1, x5 + asr x5, x5, #63 + adcs x3, x3, x5 + adc x2, x2, x5 + stp x0, x1, [sp, #96] + stp x3, x2, [sp, #112] +Lcurve25519_x25519base_alt_invmidloop: + mov x1, x22 + ldr x2, [sp] + ldr x3, [sp, #32] + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x8, x4, #0x100, lsl #12 + sbfx x8, x8, #21, #21 + mov x11, #0x100000 + add x11, x11, x11, lsl #21 + add x9, x4, x11 + asr x9, x9, #42 + add x10, x5, #0x100, lsl #12 + sbfx x10, x10, #21, #21 + add x11, x5, x11 + asr x11, x11, #42 + mul x6, x8, x2 + mul x7, x9, x3 + mul x2, x10, x2 + mul x3, x11, x3 + add x4, x6, x7 + add x5, x2, x3 + asr x2, x4, #20 + asr x3, x5, #20 + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x12, x4, #0x100, lsl #12 + sbfx x12, x12, #21, #21 + mov x15, #0x100000 + add x15, x15, x15, lsl #21 + add x13, x4, x15 + asr x13, x13, #42 + add x14, x5, #0x100, lsl #12 + sbfx x14, x14, #21, #21 + add x15, x5, x15 + asr x15, x15, #42 + mul x6, x12, x2 + mul x7, x13, x3 + mul x2, x14, x2 + mul x3, x15, x3 + add x4, x6, x7 + add x5, x2, x3 + asr x2, x4, #20 + asr x3, x5, #20 + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + mul x2, x12, x8 + mul x3, x12, x9 + mul x6, x14, x8 + mul x7, x14, x9 + madd x8, x13, x10, x2 + madd x9, x13, x11, x3 + madd x16, x15, x10, x6 + madd x17, x15, x11, x7 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x12, x4, #0x100, lsl #12 + sbfx x12, x12, #22, #21 + mov x15, #0x100000 + add x15, x15, x15, lsl #21 + add x13, x4, x15 + asr x13, x13, #43 + add x14, x5, #0x100, lsl #12 + sbfx x14, x14, #22, #21 + add x15, x5, x15 + asr x15, x15, #43 + mneg x2, x12, x8 + mneg x3, x12, x9 + mneg x4, x14, x8 + mneg x5, x14, x9 + msub x10, x13, x16, x2 + msub x11, x13, x17, x3 + msub x12, x15, x16, x4 + msub x13, x15, x17, x5 + mov x22, x1 + subs x21, x21, #0x1 + b.ne Lcurve25519_x25519base_alt_invloop + ldr x0, [sp] + ldr x1, [sp, #32] + mul x0, x0, x10 + madd x1, x1, x11, x0 + asr x0, x1, #63 + cmp x10, xzr + csetm x14, mi + cneg x10, x10, mi + eor x14, x14, x0 + cmp x11, xzr + csetm x15, mi + cneg x11, x11, mi + eor x15, x15, x0 + cmp x12, xzr + csetm x16, mi + cneg x12, x12, mi + eor x16, x16, x0 + cmp x13, xzr + csetm x17, mi + cneg x13, x13, mi + eor x17, x17, x0 + and x0, x10, x14 + and x1, x11, x15 + add x9, x0, x1 + ldr x7, [sp, #64] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #96] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + str x4, [sp, #64] + adc x2, x2, x1 + ldr x7, [sp, #72] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #104] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + str x2, [sp, #72] + adc x6, x6, x1 + ldr x7, [sp, #80] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #112] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + str x6, [sp, #80] + adc x5, x5, x1 + ldr x7, [sp, #88] + eor x1, x7, x14 + and x3, x14, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #120] + eor x1, x8, x15 + and x0, x15, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x3, x5, #63 + ldp x0, x1, [sp, #64] + tst x3, x3 + cinc x6, x6, pl + mov x3, #0x13 + mul x4, x6, x3 + add x5, x5, x6, lsl #63 + smulh x6, x6, x3 + ldr x2, [sp, #80] + adds x0, x0, x4 + adcs x1, x1, x6 + asr x6, x6, #63 + adcs x2, x2, x6 + adcs x5, x5, x6 + csel x3, x3, xzr, mi + subs x0, x0, x3 + sbcs x1, x1, xzr + sbcs x2, x2, xzr + sbc x5, x5, xzr + and x5, x5, #0x7fffffffffffffff + mov x4, x20 + stp x0, x1, [x4] + stp x2, x5, [x4, #16] + +// The final result is (X + T) / (X - T) +// This is the only operation in the whole computation that +// fully reduces modulo p_25519 since now we want the canonical +// answer as output. + + mul_p25519(resx,t1,t0) + +// Restore stack and registers + + CFI_INC_SP(NSPACE) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(curve25519_x25519base_alt) + + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif + +// **************************************************************************** +// The precomputed data (all read-only). +// **************************************************************************** + +#if defined(__ELF__) +.section .rodata +.type S2N_BN_SYMBOL(curve25519_x25519base_alt_constant), %object +.size S2N_BN_SYMBOL(curve25519_x25519base_alt_constant), 48576 +#elif defined(__APPLE__) +.const_data +#endif + +S2N_BN_SYMBOL(curve25519_x25519base_alt_constant): + +// 2^254 * G and (2^254 + 8) * G in extended-projective coordinates +// but with Z = 1 assumed and hence left out, so they are (X,Y,T) only. + + .quad 0x251037f7cf4e861d + .quad 0x10ede0fb19fb128f + .quad 0x96c033b175f5e2c8 + .quad 0x055f070d6c15fb0d + .quad 0x7c52af2c97473e69 + .quad 0x022f82391bad8378 + .quad 0x9991e1b02adb476f + .quad 0x511144a03a99b855 + .quad 0x5fafc3b88ff2e4ae + .quad 0x855e4ff0de1230ff + .quad 0x72e302a348492870 + .quad 0x1253c19e53dbe1bc + + .quad 0x331d086e0d9abcaa + .quad 0x1e23c96d311a10c9 + .quad 0x96d0f95e58c13478 + .quad 0x2f72f7384fcfcc59 + .quad 0x39a6cd1cfd7d87c9 + .quad 0x9867a0abd8ae153a + .quad 0xa49d2a5f35986745 + .quad 0x57012940cdfe82e1 + .quad 0x5046a6532ec5544a + .quad 0x6d674004739ff6c9 + .quad 0x9bbaa44b234a70e3 + .quad 0x5e6d8901138cf386 + +// Precomputed table of multiples of generator for edwards25519 +// all in precomputed extended-projective (y-x,x+y,2*d*x*y) triples. + + // 2^4 * 1 * G + + .quad 0x7ec851ca553e2df3 + .quad 0xa71284cba64878b3 + .quad 0xe6b5e4193288d1e7 + .quad 0x4cf210ec5a9a8883 + .quad 0x322d04a52d9021f6 + .quad 0xb9c19f3375c6bf9c + .quad 0x587a3a4342d20b09 + .quad 0x143b1cf8aa64fe61 + .quad 0x9f867c7d968acaab + .quad 0x5f54258e27092729 + .quad 0xd0a7d34bea180975 + .quad 0x21b546a3374126e1 + + // 2^4 * 2 * G + + .quad 0xa94ff858a2888343 + .quad 0xce0ed4565313ed3c + .quad 0xf55c3dcfb5bf34fa + .quad 0x0a653ca5c9eab371 + .quad 0x490a7a45d185218f + .quad 0x9a15377846049335 + .quad 0x0060ea09cc31e1f6 + .quad 0x7e041577f86ee965 + .quad 0x66b2a496ce5b67f3 + .quad 0xff5492d8bd569796 + .quad 0x503cec294a592cd0 + .quad 0x566943650813acb2 + + // 2^4 * 3 * G + + .quad 0xb818db0c26620798 + .quad 0x5d5c31d9606e354a + .quad 0x0982fa4f00a8cdc7 + .quad 0x17e12bcd4653e2d4 + .quad 0x5672f9eb1dabb69d + .quad 0xba70b535afe853fc + .quad 0x47ac0f752796d66d + .quad 0x32a5351794117275 + .quad 0xd3a644a6df648437 + .quad 0x703b6559880fbfdd + .quad 0xcb852540ad3a1aa5 + .quad 0x0900b3f78e4c6468 + + // 2^4 * 4 * G + + .quad 0x0a851b9f679d651b + .quad 0xe108cb61033342f2 + .quad 0xd601f57fe88b30a3 + .quad 0x371f3acaed2dd714 + .quad 0xed280fbec816ad31 + .quad 0x52d9595bd8e6efe3 + .quad 0x0fe71772f6c623f5 + .quad 0x4314030b051e293c + .quad 0xd560005efbf0bcad + .quad 0x8eb70f2ed1870c5e + .quad 0x201f9033d084e6a0 + .quad 0x4c3a5ae1ce7b6670 + + // 2^4 * 5 * G + + .quad 0x4138a434dcb8fa95 + .quad 0x870cf67d6c96840b + .quad 0xde388574297be82c + .quad 0x7c814db27262a55a + .quad 0xbaf875e4c93da0dd + .quad 0xb93282a771b9294d + .quad 0x80d63fb7f4c6c460 + .quad 0x6de9c73dea66c181 + .quad 0x478904d5a04df8f2 + .quad 0xfafbae4ab10142d3 + .quad 0xf6c8ac63555d0998 + .quad 0x5aac4a412f90b104 + + // 2^4 * 6 * G + + .quad 0xc64f326b3ac92908 + .quad 0x5551b282e663e1e0 + .quad 0x476b35f54a1a4b83 + .quad 0x1b9da3fe189f68c2 + .quad 0x603a0d0abd7f5134 + .quad 0x8089c932e1d3ae46 + .quad 0xdf2591398798bd63 + .quad 0x1c145cd274ba0235 + .quad 0x32e8386475f3d743 + .quad 0x365b8baf6ae5d9ef + .quad 0x825238b6385b681e + .quad 0x234929c1167d65e1 + + // 2^4 * 7 * G + + .quad 0x984decaba077ade8 + .quad 0x383f77ad19eb389d + .quad 0xc7ec6b7e2954d794 + .quad 0x59c77b3aeb7c3a7a + .quad 0x48145cc21d099fcf + .quad 0x4535c192cc28d7e5 + .quad 0x80e7c1e548247e01 + .quad 0x4a5f28743b2973ee + .quad 0xd3add725225ccf62 + .quad 0x911a3381b2152c5d + .quad 0xd8b39fad5b08f87d + .quad 0x6f05606b4799fe3b + + // 2^4 * 8 * G + + .quad 0x9ffe9e92177ba962 + .quad 0x98aee71d0de5cae1 + .quad 0x3ff4ae942d831044 + .quad 0x714de12e58533ac8 + .quad 0x5b433149f91b6483 + .quad 0xadb5dc655a2cbf62 + .quad 0x87fa8412632827b3 + .quad 0x60895e91ab49f8d8 + .quad 0xe9ecf2ed0cf86c18 + .quad 0xb46d06120735dfd4 + .quad 0xbc9da09804b96be7 + .quad 0x73e2e62fd96dc26b + + // 2^8 * 1 * G + + .quad 0xed5b635449aa515e + .quad 0xa865c49f0bc6823a + .quad 0x850c1fe95b42d1c4 + .quad 0x30d76d6f03d315b9 + .quad 0x2eccdd0e632f9c1d + .quad 0x51d0b69676893115 + .quad 0x52dfb76ba8637a58 + .quad 0x6dd37d49a00eef39 + .quad 0x6c4444172106e4c7 + .quad 0xfb53d680928d7f69 + .quad 0xb4739ea4694d3f26 + .quad 0x10c697112e864bb0 + + // 2^8 * 2 * G + + .quad 0x6493c4277dbe5fde + .quad 0x265d4fad19ad7ea2 + .quad 0x0e00dfc846304590 + .quad 0x25e61cabed66fe09 + .quad 0x0ca62aa08358c805 + .quad 0x6a3d4ae37a204247 + .quad 0x7464d3a63b11eddc + .quad 0x03bf9baf550806ef + .quad 0x3f13e128cc586604 + .quad 0x6f5873ecb459747e + .quad 0xa0b63dedcc1268f5 + .quad 0x566d78634586e22c + + // 2^8 * 3 * G + + .quad 0x1637a49f9cc10834 + .quad 0xbc8e56d5a89bc451 + .quad 0x1cb5ec0f7f7fd2db + .quad 0x33975bca5ecc35d9 + .quad 0xa1054285c65a2fd0 + .quad 0x6c64112af31667c3 + .quad 0x680ae240731aee58 + .quad 0x14fba5f34793b22a + .quad 0x3cd746166985f7d4 + .quad 0x593e5e84c9c80057 + .quad 0x2fc3f2b67b61131e + .quad 0x14829cea83fc526c + + // 2^8 * 4 * G + + .quad 0xff437b8497dd95c2 + .quad 0x6c744e30aa4eb5a7 + .quad 0x9e0c5d613c85e88b + .quad 0x2fd9c71e5f758173 + .quad 0x21e70b2f4e71ecb8 + .quad 0xe656ddb940a477e3 + .quad 0xbf6556cece1d4f80 + .quad 0x05fc3bc4535d7b7e + .quad 0x24b8b3ae52afdedd + .quad 0x3495638ced3b30cf + .quad 0x33a4bc83a9be8195 + .quad 0x373767475c651f04 + + // 2^8 * 5 * G + + .quad 0x2fba99fd40d1add9 + .quad 0xb307166f96f4d027 + .quad 0x4363f05215f03bae + .quad 0x1fbea56c3b18f999 + .quad 0x634095cb14246590 + .quad 0xef12144016c15535 + .quad 0x9e38140c8910bc60 + .quad 0x6bf5905730907c8c + .quad 0x0fa778f1e1415b8a + .quad 0x06409ff7bac3a77e + .quad 0x6f52d7b89aa29a50 + .quad 0x02521cf67a635a56 + + // 2^8 * 6 * G + + .quad 0x513fee0b0a9d5294 + .quad 0x8f98e75c0fdf5a66 + .quad 0xd4618688bfe107ce + .quad 0x3fa00a7e71382ced + .quad 0xb1146720772f5ee4 + .quad 0xe8f894b196079ace + .quad 0x4af8224d00ac824a + .quad 0x001753d9f7cd6cc4 + .quad 0x3c69232d963ddb34 + .quad 0x1dde87dab4973858 + .quad 0xaad7d1f9a091f285 + .quad 0x12b5fe2fa048edb6 + + // 2^8 * 7 * G + + .quad 0x71f0fbc496fce34d + .quad 0x73b9826badf35bed + .quad 0xd2047261ff28c561 + .quad 0x749b76f96fb1206f + .quad 0xdf2b7c26ad6f1e92 + .quad 0x4b66d323504b8913 + .quad 0x8c409dc0751c8bc3 + .quad 0x6f7e93c20796c7b8 + .quad 0x1f5af604aea6ae05 + .quad 0xc12351f1bee49c99 + .quad 0x61a808b5eeff6b66 + .quad 0x0fcec10f01e02151 + + // 2^8 * 8 * G + + .quad 0x644d58a649fe1e44 + .quad 0x21fcaea231ad777e + .quad 0x02441c5a887fd0d2 + .quad 0x4901aa7183c511f3 + .quad 0x3df2d29dc4244e45 + .quad 0x2b020e7493d8de0a + .quad 0x6cc8067e820c214d + .quad 0x413779166feab90a + .quad 0x08b1b7548c1af8f0 + .quad 0xce0f7a7c246299b4 + .quad 0xf760b0f91e06d939 + .quad 0x41bb887b726d1213 + + // 2^12 * 1 * G + + .quad 0x9267806c567c49d8 + .quad 0x066d04ccca791e6a + .quad 0xa69f5645e3cc394b + .quad 0x5c95b686a0788cd2 + .quad 0x97d980e0aa39f7d2 + .quad 0x35d0384252c6b51c + .quad 0x7d43f49307cd55aa + .quad 0x56bd36cfb78ac362 + .quad 0x2ac519c10d14a954 + .quad 0xeaf474b494b5fa90 + .quad 0xe6af8382a9f87a5a + .quad 0x0dea6db1879be094 + + // 2^12 * 2 * G + + .quad 0xaa66bf547344e5ab + .quad 0xda1258888f1b4309 + .quad 0x5e87d2b3fd564b2f + .quad 0x5b2c78885483b1dd + .quad 0x15baeb74d6a8797a + .quad 0x7ef55cf1fac41732 + .quad 0x29001f5a3c8b05c5 + .quad 0x0ad7cc8752eaccfb + .quad 0x52151362793408cf + .quad 0xeb0f170319963d94 + .quad 0xa833b2fa883d9466 + .quad 0x093a7fa775003c78 + + // 2^12 * 3 * G + + .quad 0xe5107de63a16d7be + .quad 0xa377ffdc9af332cf + .quad 0x70d5bf18440b677f + .quad 0x6a252b19a4a31403 + .quad 0xb8e9604460a91286 + .quad 0x7f3fd8047778d3de + .quad 0x67d01e31bf8a5e2d + .quad 0x7b038a06c27b653e + .quad 0x9ed919d5d36990f3 + .quad 0x5213aebbdb4eb9f2 + .quad 0xc708ea054cb99135 + .quad 0x58ded57f72260e56 + + // 2^12 * 4 * G + + .quad 0x78e79dade9413d77 + .quad 0xf257f9d59729e67d + .quad 0x59db910ee37aa7e6 + .quad 0x6aa11b5bbb9e039c + .quad 0xda6d53265b0fd48b + .quad 0x8960823193bfa988 + .quad 0xd78ac93261d57e28 + .quad 0x79f2942d3a5c8143 + .quad 0x97da2f25b6c88de9 + .quad 0x251ba7eaacf20169 + .quad 0x09b44f87ef4eb4e4 + .quad 0x7d90ab1bbc6a7da5 + + // 2^12 * 5 * G + + .quad 0x9acca683a7016bfe + .quad 0x90505f4df2c50b6d + .quad 0x6b610d5fcce435aa + .quad 0x19a10d446198ff96 + .quad 0x1a07a3f496b3c397 + .quad 0x11ceaa188f4e2532 + .quad 0x7d9498d5a7751bf0 + .quad 0x19ed161f508dd8a0 + .quad 0x560a2cd687dce6ca + .quad 0x7f3568c48664cf4d + .quad 0x8741e95222803a38 + .quad 0x483bdab1595653fc + + // 2^12 * 6 * G + + .quad 0xfa780f148734fa49 + .quad 0x106f0b70360534e0 + .quad 0x2210776fe3e307bd + .quad 0x3286c109dde6a0fe + .quad 0xd6cf4d0ab4da80f6 + .quad 0x82483e45f8307fe0 + .quad 0x05005269ae6f9da4 + .quad 0x1c7052909cf7877a + .quad 0x32ee7de2874e98d4 + .quad 0x14c362e9b97e0c60 + .quad 0x5781dcde6a60a38a + .quad 0x217dd5eaaa7aa840 + + // 2^12 * 7 * G + + .quad 0x9db7c4d0248e1eb0 + .quad 0xe07697e14d74bf52 + .quad 0x1e6a9b173c562354 + .quad 0x7fa7c21f795a4965 + .quad 0x8bdf1fb9be8c0ec8 + .quad 0x00bae7f8e30a0282 + .quad 0x4963991dad6c4f6c + .quad 0x07058a6e5df6f60a + .quad 0xe9eb02c4db31f67f + .quad 0xed25fd8910bcfb2b + .quad 0x46c8131f5c5cddb4 + .quad 0x33b21c13a0cb9bce + + // 2^12 * 8 * G + + .quad 0x360692f8087d8e31 + .quad 0xf4dcc637d27163f7 + .quad 0x25a4e62065ea5963 + .quad 0x659bf72e5ac160d9 + .quad 0x9aafb9b05ee38c5b + .quad 0xbf9d2d4e071a13c7 + .quad 0x8eee6e6de933290a + .quad 0x1c3bab17ae109717 + .quad 0x1c9ab216c7cab7b0 + .quad 0x7d65d37407bbc3cc + .quad 0x52744750504a58d5 + .quad 0x09f2606b131a2990 + + // 2^16 * 1 * G + + .quad 0x40e87d44744346be + .quad 0x1d48dad415b52b25 + .quad 0x7c3a8a18a13b603e + .quad 0x4eb728c12fcdbdf7 + .quad 0x7e234c597c6691ae + .quad 0x64889d3d0a85b4c8 + .quad 0xdae2c90c354afae7 + .quad 0x0a871e070c6a9e1d + .quad 0x3301b5994bbc8989 + .quad 0x736bae3a5bdd4260 + .quad 0x0d61ade219d59e3c + .quad 0x3ee7300f2685d464 + + // 2^16 * 2 * G + + .quad 0xf5d255e49e7dd6b7 + .quad 0x8016115c610b1eac + .quad 0x3c99975d92e187ca + .quad 0x13815762979125c2 + .quad 0x43fa7947841e7518 + .quad 0xe5c6fa59639c46d7 + .quad 0xa1065e1de3052b74 + .quad 0x7d47c6a2cfb89030 + .quad 0x3fdad0148ef0d6e0 + .quad 0x9d3e749a91546f3c + .quad 0x71ec621026bb8157 + .quad 0x148cf58d34c9ec80 + + // 2^16 * 3 * G + + .quad 0x46a492f67934f027 + .quad 0x469984bef6840aa9 + .quad 0x5ca1bc2a89611854 + .quad 0x3ff2fa1ebd5dbbd4 + .quad 0xe2572f7d9ae4756d + .quad 0x56c345bb88f3487f + .quad 0x9fd10b6d6960a88d + .quad 0x278febad4eaea1b9 + .quad 0xb1aa681f8c933966 + .quad 0x8c21949c20290c98 + .quad 0x39115291219d3c52 + .quad 0x4104dd02fe9c677b + + // 2^16 * 4 * G + + .quad 0x72b2bf5e1124422a + .quad 0xa1fa0c3398a33ab5 + .quad 0x94cb6101fa52b666 + .quad 0x2c863b00afaf53d5 + .quad 0x81214e06db096ab8 + .quad 0x21a8b6c90ce44f35 + .quad 0x6524c12a409e2af5 + .quad 0x0165b5a48efca481 + .quad 0xf190a474a0846a76 + .quad 0x12eff984cd2f7cc0 + .quad 0x695e290658aa2b8f + .quad 0x591b67d9bffec8b8 + + // 2^16 * 5 * G + + .quad 0x312f0d1c80b49bfa + .quad 0x5979515eabf3ec8a + .quad 0x727033c09ef01c88 + .quad 0x3de02ec7ca8f7bcb + .quad 0x99b9b3719f18b55d + .quad 0xe465e5faa18c641e + .quad 0x61081136c29f05ed + .quad 0x489b4f867030128b + .quad 0xd232102d3aeb92ef + .quad 0xe16253b46116a861 + .quad 0x3d7eabe7190baa24 + .quad 0x49f5fbba496cbebf + + // 2^16 * 6 * G + + .quad 0x30949a108a5bcfd4 + .quad 0xdc40dd70bc6473eb + .quad 0x92c294c1307c0d1c + .quad 0x5604a86dcbfa6e74 + .quad 0x155d628c1e9c572e + .quad 0x8a4d86acc5884741 + .quad 0x91a352f6515763eb + .quad 0x06a1a6c28867515b + .quad 0x7288d1d47c1764b6 + .quad 0x72541140e0418b51 + .quad 0x9f031a6018acf6d1 + .quad 0x20989e89fe2742c6 + + // 2^16 * 7 * G + + .quad 0x499777fd3a2dcc7f + .quad 0x32857c2ca54fd892 + .quad 0xa279d864d207e3a0 + .quad 0x0403ed1d0ca67e29 + .quad 0x1674278b85eaec2e + .quad 0x5621dc077acb2bdf + .quad 0x640a4c1661cbf45a + .quad 0x730b9950f70595d3 + .quad 0xc94b2d35874ec552 + .quad 0xc5e6c8cf98246f8d + .quad 0xf7cb46fa16c035ce + .quad 0x5bd7454308303dcc + + // 2^16 * 8 * G + + .quad 0x7f9ad19528b24cc2 + .quad 0x7f6b54656335c181 + .quad 0x66b8b66e4fc07236 + .quad 0x133a78007380ad83 + .quad 0x85c4932115e7792a + .quad 0xc64c89a2bdcdddc9 + .quad 0x9d1e3da8ada3d762 + .quad 0x5bb7db123067f82c + .quad 0x0961f467c6ca62be + .quad 0x04ec21d6211952ee + .quad 0x182360779bd54770 + .quad 0x740dca6d58f0e0d2 + + // 2^20 * 1 * G + + .quad 0x50b70bf5d3f0af0b + .quad 0x4feaf48ae32e71f7 + .quad 0x60e84ed3a55bbd34 + .quad 0x00ed489b3f50d1ed + .quad 0x3906c72aed261ae5 + .quad 0x9ab68fd988e100f7 + .quad 0xf5e9059af3360197 + .quad 0x0e53dc78bf2b6d47 + .quad 0xb90829bf7971877a + .quad 0x5e4444636d17e631 + .quad 0x4d05c52e18276893 + .quad 0x27632d9a5a4a4af5 + + // 2^20 * 2 * G + + .quad 0xd11ff05154b260ce + .quad 0xd86dc38e72f95270 + .quad 0x601fcd0d267cc138 + .quad 0x2b67916429e90ccd + .quad 0xa98285d187eaffdb + .quad 0xa5b4fbbbd8d0a864 + .quad 0xb658f27f022663f7 + .quad 0x3bbc2b22d99ce282 + .quad 0xb917c952583c0a58 + .quad 0x653ff9b80fe4c6f3 + .quad 0x9b0da7d7bcdf3c0c + .quad 0x43a0eeb6ab54d60e + + // 2^20 * 3 * G + + .quad 0x396966a46d4a5487 + .quad 0xf811a18aac2bb3ba + .quad 0x66e4685b5628b26b + .quad 0x70a477029d929b92 + .quad 0x3ac6322357875fe8 + .quad 0xd9d4f4ecf5fbcb8f + .quad 0x8dee8493382bb620 + .quad 0x50c5eaa14c799fdc + .quad 0xdd0edc8bd6f2fb3c + .quad 0x54c63aa79cc7b7a0 + .quad 0xae0b032b2c8d9f1a + .quad 0x6f9ce107602967fb + + // 2^20 * 4 * G + + .quad 0xad1054b1cde1c22a + .quad 0xc4a8e90248eb32df + .quad 0x5f3e7b33accdc0ea + .quad 0x72364713fc79963e + .quad 0x139693063520e0b5 + .quad 0x437fcf7c88ea03fe + .quad 0xf7d4c40bd3c959bc + .quad 0x699154d1f893ded9 + .quad 0x315d5c75b4b27526 + .quad 0xcccb842d0236daa5 + .quad 0x22f0c8a3345fee8e + .quad 0x73975a617d39dbed + + // 2^20 * 5 * G + + .quad 0xe4024df96375da10 + .quad 0x78d3251a1830c870 + .quad 0x902b1948658cd91c + .quad 0x7e18b10b29b7438a + .quad 0x6f37f392f4433e46 + .quad 0x0e19b9a11f566b18 + .quad 0x220fb78a1fd1d662 + .quad 0x362a4258a381c94d + .quad 0x9071d9132b6beb2f + .quad 0x0f26e9ad28418247 + .quad 0xeab91ec9bdec925d + .quad 0x4be65bc8f48af2de + + // 2^20 * 6 * G + + .quad 0x78487feba36e7028 + .quad 0x5f3f13001dd8ce34 + .quad 0x934fb12d4b30c489 + .quad 0x056c244d397f0a2b + .quad 0x1d50fba257c26234 + .quad 0x7bd4823adeb0678b + .quad 0xc2b0dc6ea6538af5 + .quad 0x5665eec6351da73e + .quad 0xdb3ee00943bfb210 + .quad 0x4972018720800ac2 + .quad 0x26ab5d6173bd8667 + .quad 0x20b209c2ab204938 + + // 2^20 * 7 * G + + .quad 0x549e342ac07fb34b + .quad 0x02d8220821373d93 + .quad 0xbc262d70acd1f567 + .quad 0x7a92c9fdfbcac784 + .quad 0x1fcca94516bd3289 + .quad 0x448d65aa41420428 + .quad 0x59c3b7b216a55d62 + .quad 0x49992cc64e612cd8 + .quad 0x65bd1bea70f801de + .quad 0x1befb7c0fe49e28a + .quad 0xa86306cdb1b2ae4a + .quad 0x3b7ac0cd265c2a09 + + // 2^20 * 8 * G + + .quad 0x822bee438c01bcec + .quad 0x530cb525c0fbc73b + .quad 0x48519034c1953fe9 + .quad 0x265cc261e09a0f5b + .quad 0xf0d54e4f22ed39a7 + .quad 0xa2aae91e5608150a + .quad 0xf421b2e9eddae875 + .quad 0x31bc531d6b7de992 + .quad 0xdf3d134da980f971 + .quad 0x7a4fb8d1221a22a7 + .quad 0x3df7d42035aad6d8 + .quad 0x2a14edcc6a1a125e + + // 2^24 * 1 * G + + .quad 0xdf48ee0752cfce4e + .quad 0xc3fffaf306ec08b7 + .quad 0x05710b2ab95459c4 + .quad 0x161d25fa963ea38d + .quad 0x231a8c570478433c + .quad 0xb7b5270ec281439d + .quad 0xdbaa99eae3d9079f + .quad 0x2c03f5256c2b03d9 + .quad 0x790f18757b53a47d + .quad 0x307b0130cf0c5879 + .quad 0x31903d77257ef7f9 + .quad 0x699468bdbd96bbaf + + // 2^24 * 2 * G + + .quad 0xbd1f2f46f4dafecf + .quad 0x7cef0114a47fd6f7 + .quad 0xd31ffdda4a47b37f + .quad 0x525219a473905785 + .quad 0xd8dd3de66aa91948 + .quad 0x485064c22fc0d2cc + .quad 0x9b48246634fdea2f + .quad 0x293e1c4e6c4a2e3a + .quad 0x376e134b925112e1 + .quad 0x703778b5dca15da0 + .quad 0xb04589af461c3111 + .quad 0x5b605c447f032823 + + // 2^24 * 3 * G + + .quad 0xb965805920c47c89 + .quad 0xe7f0100c923b8fcc + .quad 0x0001256502e2ef77 + .quad 0x24a76dcea8aeb3ee + .quad 0x3be9fec6f0e7f04c + .quad 0x866a579e75e34962 + .quad 0x5542ef161e1de61a + .quad 0x2f12fef4cc5abdd5 + .quad 0x0a4522b2dfc0c740 + .quad 0x10d06e7f40c9a407 + .quad 0xc6cf144178cff668 + .quad 0x5e607b2518a43790 + + // 2^24 * 4 * G + + .quad 0x58b31d8f6cdf1818 + .quad 0x35cfa74fc36258a2 + .quad 0xe1b3ff4f66e61d6e + .quad 0x5067acab6ccdd5f7 + .quad 0xa02c431ca596cf14 + .quad 0xe3c42d40aed3e400 + .quad 0xd24526802e0f26db + .quad 0x201f33139e457068 + .quad 0xfd527f6b08039d51 + .quad 0x18b14964017c0006 + .quad 0xd5220eb02e25a4a8 + .quad 0x397cba8862460375 + + // 2^24 * 5 * G + + .quad 0x30c13093f05959b2 + .quad 0xe23aa18de9a97976 + .quad 0x222fd491721d5e26 + .quad 0x2339d320766e6c3a + .quad 0x7815c3fbc81379e7 + .quad 0xa6619420dde12af1 + .quad 0xffa9c0f885a8fdd5 + .quad 0x771b4022c1e1c252 + .quad 0xd87dd986513a2fa7 + .quad 0xf5ac9b71f9d4cf08 + .quad 0xd06bc31b1ea283b3 + .quad 0x331a189219971a76 + + // 2^24 * 6 * G + + .quad 0xf5166f45fb4f80c6 + .quad 0x9c36c7de61c775cf + .quad 0xe3d4e81b9041d91c + .quad 0x31167c6b83bdfe21 + .quad 0x26512f3a9d7572af + .quad 0x5bcbe28868074a9e + .quad 0x84edc1c11180f7c4 + .quad 0x1ac9619ff649a67b + .quad 0xf22b3842524b1068 + .quad 0x5068343bee9ce987 + .quad 0xfc9d71844a6250c8 + .quad 0x612436341f08b111 + + // 2^24 * 7 * G + + .quad 0xd99d41db874e898d + .quad 0x09fea5f16c07dc20 + .quad 0x793d2c67d00f9bbc + .quad 0x46ebe2309e5eff40 + .quad 0x8b6349e31a2d2638 + .quad 0x9ddfb7009bd3fd35 + .quad 0x7f8bf1b8a3a06ba4 + .quad 0x1522aa3178d90445 + .quad 0x2c382f5369614938 + .quad 0xdafe409ab72d6d10 + .quad 0xe8c83391b646f227 + .quad 0x45fe70f50524306c + + // 2^24 * 8 * G + + .quad 0xda4875a6960c0b8c + .quad 0x5b68d076ef0e2f20 + .quad 0x07fb51cf3d0b8fd4 + .quad 0x428d1623a0e392d4 + .quad 0x62f24920c8951491 + .quad 0x05f007c83f630ca2 + .quad 0x6fbb45d2f5c9d4b8 + .quad 0x16619f6db57a2245 + .quad 0x084f4a4401a308fd + .quad 0xa82219c376a5caac + .quad 0xdeb8de4643d1bc7d + .quad 0x1d81592d60bd38c6 + + // 2^28 * 1 * G + + .quad 0xd833d7beec2a4c38 + .quad 0x2c9162830acc20ed + .quad 0xe93a47aa92df7581 + .quad 0x702d67a3333c4a81 + .quad 0x3a4a369a2f89c8a1 + .quad 0x63137a1d7c8de80d + .quad 0xbcac008a78eda015 + .quad 0x2cb8b3a5b483b03f + .quad 0x36e417cbcb1b90a1 + .quad 0x33b3ddaa7f11794e + .quad 0x3f510808885bc607 + .quad 0x24141dc0e6a8020d + + // 2^28 * 2 * G + + .quad 0x59f73c773fefee9d + .quad 0xb3f1ef89c1cf989d + .quad 0xe35dfb42e02e545f + .quad 0x5766120b47a1b47c + .quad 0x91925dccbd83157d + .quad 0x3ca1205322cc8094 + .quad 0x28e57f183f90d6e4 + .quad 0x1a4714cede2e767b + .quad 0xdb20ba0fb8b6b7ff + .quad 0xb732c3b677511fa1 + .quad 0xa92b51c099f02d89 + .quad 0x4f3875ad489ca5f1 + + // 2^28 * 3 * G + + .quad 0xc7fc762f4932ab22 + .quad 0x7ac0edf72f4c3c1b + .quad 0x5f6b55aa9aa895e8 + .quad 0x3680274dad0a0081 + .quad 0x79ed13f6ee73eec0 + .quad 0xa5c6526d69110bb1 + .quad 0xe48928c38603860c + .quad 0x722a1446fd7059f5 + .quad 0xd0959fe9a8cf8819 + .quad 0xd0a995508475a99c + .quad 0x6eac173320b09cc5 + .quad 0x628ecf04331b1095 + + // 2^28 * 4 * G + + .quad 0x98bcb118a9d0ddbc + .quad 0xee449e3408b4802b + .quad 0x87089226b8a6b104 + .quad 0x685f349a45c7915d + .quad 0x9b41acf85c74ccf1 + .quad 0xb673318108265251 + .quad 0x99c92aed11adb147 + .quad 0x7a47d70d34ecb40f + .quad 0x60a0c4cbcc43a4f5 + .quad 0x775c66ca3677bea9 + .quad 0xa17aa1752ff8f5ed + .quad 0x11ded9020e01fdc0 + + // 2^28 * 5 * G + + .quad 0x890e7809caefe704 + .quad 0x8728296de30e8c6c + .quad 0x4c5cd2a392aeb1c9 + .quad 0x194263d15771531f + .quad 0x471f95b03bea93b7 + .quad 0x0552d7d43313abd3 + .quad 0xbd9370e2e17e3f7b + .quad 0x7b120f1db20e5bec + .quad 0x17d2fb3d86502d7a + .quad 0xb564d84450a69352 + .quad 0x7da962c8a60ed75d + .quad 0x00d0f85b318736aa + + // 2^28 * 6 * G + + .quad 0x978b142e777c84fd + .quad 0xf402644705a8c062 + .quad 0xa67ad51be7e612c7 + .quad 0x2f7b459698dd6a33 + .quad 0xa6753c1efd7621c1 + .quad 0x69c0b4a7445671f5 + .quad 0x971f527405b23c11 + .quad 0x387bc74851a8c7cd + .quad 0x81894b4d4a52a9a8 + .quad 0xadd93e12f6b8832f + .quad 0x184d8548b61bd638 + .quad 0x3f1c62dbd6c9f6cd + + // 2^28 * 7 * G + + .quad 0x2e8f1f0091910c1f + .quad 0xa4df4fe0bff2e12c + .quad 0x60c6560aee927438 + .quad 0x6338283facefc8fa + .quad 0x3fad3e40148f693d + .quad 0x052656e194eb9a72 + .quad 0x2f4dcbfd184f4e2f + .quad 0x406f8db1c482e18b + .quad 0x9e630d2c7f191ee4 + .quad 0x4fbf8301bc3ff670 + .quad 0x787d8e4e7afb73c4 + .quad 0x50d83d5be8f58fa5 + + // 2^28 * 8 * G + + .quad 0x85683916c11a1897 + .quad 0x2d69a4efe506d008 + .quad 0x39af1378f664bd01 + .quad 0x65942131361517c6 + .quad 0xc0accf90b4d3b66d + .quad 0xa7059de561732e60 + .quad 0x033d1f7870c6b0ba + .quad 0x584161cd26d946e4 + .quad 0xbbf2b1a072d27ca2 + .quad 0xbf393c59fbdec704 + .quad 0xe98dbbcee262b81e + .quad 0x02eebd0b3029b589 + + // 2^32 * 1 * G + + .quad 0x61368756a60dac5f + .quad 0x17e02f6aebabdc57 + .quad 0x7f193f2d4cce0f7d + .quad 0x20234a7789ecdcf0 + .quad 0x8765b69f7b85c5e8 + .quad 0x6ff0678bd168bab2 + .quad 0x3a70e77c1d330f9b + .quad 0x3a5f6d51b0af8e7c + .quad 0x76d20db67178b252 + .quad 0x071c34f9d51ed160 + .quad 0xf62a4a20b3e41170 + .quad 0x7cd682353cffe366 + + // 2^32 * 2 * G + + .quad 0x0be1a45bd887fab6 + .quad 0x2a846a32ba403b6e + .quad 0xd9921012e96e6000 + .quad 0x2838c8863bdc0943 + .quad 0xa665cd6068acf4f3 + .quad 0x42d92d183cd7e3d3 + .quad 0x5759389d336025d9 + .quad 0x3ef0253b2b2cd8ff + .quad 0xd16bb0cf4a465030 + .quad 0xfa496b4115c577ab + .quad 0x82cfae8af4ab419d + .quad 0x21dcb8a606a82812 + + // 2^32 * 3 * G + + .quad 0x5c6004468c9d9fc8 + .quad 0x2540096ed42aa3cb + .quad 0x125b4d4c12ee2f9c + .quad 0x0bc3d08194a31dab + .quad 0x9a8d00fabe7731ba + .quad 0x8203607e629e1889 + .quad 0xb2cc023743f3d97f + .quad 0x5d840dbf6c6f678b + .quad 0x706e380d309fe18b + .quad 0x6eb02da6b9e165c7 + .quad 0x57bbba997dae20ab + .quad 0x3a4276232ac196dd + + // 2^32 * 4 * G + + .quad 0x4b42432c8a7084fa + .quad 0x898a19e3dfb9e545 + .quad 0xbe9f00219c58e45d + .quad 0x1ff177cea16debd1 + .quad 0x3bf8c172db447ecb + .quad 0x5fcfc41fc6282dbd + .quad 0x80acffc075aa15fe + .quad 0x0770c9e824e1a9f9 + .quad 0xcf61d99a45b5b5fd + .quad 0x860984e91b3a7924 + .quad 0xe7300919303e3e89 + .quad 0x39f264fd41500b1e + + // 2^32 * 5 * G + + .quad 0xa7ad3417dbe7e29c + .quad 0xbd94376a2b9c139c + .quad 0xa0e91b8e93597ba9 + .quad 0x1712d73468889840 + .quad 0xd19b4aabfe097be1 + .quad 0xa46dfce1dfe01929 + .quad 0xc3c908942ca6f1ff + .quad 0x65c621272c35f14e + .quad 0xe72b89f8ce3193dd + .quad 0x4d103356a125c0bb + .quad 0x0419a93d2e1cfe83 + .quad 0x22f9800ab19ce272 + + // 2^32 * 6 * G + + .quad 0x605a368a3e9ef8cb + .quad 0xe3e9c022a5504715 + .quad 0x553d48b05f24248f + .quad 0x13f416cd647626e5 + .quad 0x42029fdd9a6efdac + .quad 0xb912cebe34a54941 + .quad 0x640f64b987bdf37b + .quad 0x4171a4d38598cab4 + .quad 0xfa2758aa99c94c8c + .quad 0x23006f6fb000b807 + .quad 0xfbd291ddadda5392 + .quad 0x508214fa574bd1ab + + // 2^32 * 7 * G + + .quad 0xc20269153ed6fe4b + .quad 0xa65a6739511d77c4 + .quad 0xcbde26462c14af94 + .quad 0x22f960ec6faba74b + .quad 0x461a15bb53d003d6 + .quad 0xb2102888bcf3c965 + .quad 0x27c576756c683a5a + .quad 0x3a7758a4c86cb447 + .quad 0x548111f693ae5076 + .quad 0x1dae21df1dfd54a6 + .quad 0x12248c90f3115e65 + .quad 0x5d9fd15f8de7f494 + + // 2^32 * 8 * G + + .quad 0x031408d36d63727f + .quad 0x6a379aefd7c7b533 + .quad 0xa9e18fc5ccaee24b + .quad 0x332f35914f8fbed3 + .quad 0x3f244d2aeed7521e + .quad 0x8e3a9028432e9615 + .quad 0xe164ba772e9c16d4 + .quad 0x3bc187fa47eb98d8 + .quad 0x6d470115ea86c20c + .quad 0x998ab7cb6c46d125 + .quad 0xd77832b53a660188 + .quad 0x450d81ce906fba03 + + // 2^36 * 1 * G + + .quad 0xf8ae4d2ad8453902 + .quad 0x7018058ee8db2d1d + .quad 0xaab3995fc7d2c11e + .quad 0x53b16d2324ccca79 + .quad 0x23264d66b2cae0b5 + .quad 0x7dbaed33ebca6576 + .quad 0x030ebed6f0d24ac8 + .quad 0x2a887f78f7635510 + .quad 0x2a23b9e75c012d4f + .quad 0x0c974651cae1f2ea + .quad 0x2fb63273675d70ca + .quad 0x0ba7250b864403f5 + + // 2^36 * 2 * G + + .quad 0xbb0d18fd029c6421 + .quad 0xbc2d142189298f02 + .quad 0x8347f8e68b250e96 + .quad 0x7b9f2fe8032d71c9 + .quad 0xdd63589386f86d9c + .quad 0x61699176e13a85a4 + .quad 0x2e5111954eaa7d57 + .quad 0x32c21b57fb60bdfb + .quad 0xd87823cd319e0780 + .quad 0xefc4cfc1897775c5 + .quad 0x4854fb129a0ab3f7 + .quad 0x12c49d417238c371 + + // 2^36 * 3 * G + + .quad 0x0950b533ffe83769 + .quad 0x21861c1d8e1d6bd1 + .quad 0xf022d8381302e510 + .quad 0x2509200c6391cab4 + .quad 0x09b3a01783799542 + .quad 0x626dd08faad5ee3f + .quad 0xba00bceeeb70149f + .quad 0x1421b246a0a444c9 + .quad 0x4aa43a8e8c24a7c7 + .quad 0x04c1f540d8f05ef5 + .quad 0xadba5e0c0b3eb9dc + .quad 0x2ab5504448a49ce3 + + // 2^36 * 4 * G + + .quad 0x2ed227266f0f5dec + .quad 0x9824ee415ed50824 + .quad 0x807bec7c9468d415 + .quad 0x7093bae1b521e23f + .quad 0xdc07ac631c5d3afa + .quad 0x58615171f9df8c6c + .quad 0x72a079d89d73e2b0 + .quad 0x7301f4ceb4eae15d + .quad 0x6409e759d6722c41 + .quad 0xa674e1cf72bf729b + .quad 0xbc0a24eb3c21e569 + .quad 0x390167d24ebacb23 + + // 2^36 * 5 * G + + .quad 0x27f58e3bba353f1c + .quad 0x4c47764dbf6a4361 + .quad 0xafbbc4e56e562650 + .quad 0x07db2ee6aae1a45d + .quad 0xd7bb054ba2f2120b + .quad 0xe2b9ceaeb10589b7 + .quad 0x3fe8bac8f3c0edbe + .quad 0x4cbd40767112cb69 + .quad 0x0b603cc029c58176 + .quad 0x5988e3825cb15d61 + .quad 0x2bb61413dcf0ad8d + .quad 0x7b8eec6c74183287 + + // 2^36 * 6 * G + + .quad 0xe4ca40782cd27cb0 + .quad 0xdaf9c323fbe967bd + .quad 0xb29bd34a8ad41e9e + .quad 0x72810497626ede4d + .quad 0x32fee570fc386b73 + .quad 0xda8b0141da3a8cc7 + .quad 0x975ffd0ac8968359 + .quad 0x6ee809a1b132a855 + .quad 0x9444bb31fcfd863a + .quad 0x2fe3690a3e4e48c5 + .quad 0xdc29c867d088fa25 + .quad 0x13bd1e38d173292e + + // 2^36 * 7 * G + + .quad 0xd32b4cd8696149b5 + .quad 0xe55937d781d8aab7 + .quad 0x0bcb2127ae122b94 + .quad 0x41e86fcfb14099b0 + .quad 0x223fb5cf1dfac521 + .quad 0x325c25316f554450 + .quad 0x030b98d7659177ac + .quad 0x1ed018b64f88a4bd + .quad 0x3630dfa1b802a6b0 + .quad 0x880f874742ad3bd5 + .quad 0x0af90d6ceec5a4d4 + .quad 0x746a247a37cdc5d9 + + // 2^36 * 8 * G + + .quad 0xd531b8bd2b7b9af6 + .quad 0x5005093537fc5b51 + .quad 0x232fcf25c593546d + .quad 0x20a365142bb40f49 + .quad 0x6eccd85278d941ed + .quad 0x2254ae83d22f7843 + .quad 0xc522d02e7bbfcdb7 + .quad 0x681e3351bff0e4e2 + .quad 0x8b64b59d83034f45 + .quad 0x2f8b71f21fa20efb + .quad 0x69249495ba6550e4 + .quad 0x539ef98e45d5472b + + // 2^40 * 1 * G + + .quad 0x6e7bb6a1a6205275 + .quad 0xaa4f21d7413c8e83 + .quad 0x6f56d155e88f5cb2 + .quad 0x2de25d4ba6345be1 + .quad 0xd074d8961cae743f + .quad 0xf86d18f5ee1c63ed + .quad 0x97bdc55be7f4ed29 + .quad 0x4cbad279663ab108 + .quad 0x80d19024a0d71fcd + .quad 0xc525c20afb288af8 + .quad 0xb1a3974b5f3a6419 + .quad 0x7d7fbcefe2007233 + + // 2^40 * 2 * G + + .quad 0xfaef1e6a266b2801 + .quad 0x866c68c4d5739f16 + .quad 0xf68a2fbc1b03762c + .quad 0x5975435e87b75a8d + .quad 0xcd7c5dc5f3c29094 + .quad 0xc781a29a2a9105ab + .quad 0x80c61d36421c3058 + .quad 0x4f9cd196dcd8d4d7 + .quad 0x199297d86a7b3768 + .quad 0xd0d058241ad17a63 + .quad 0xba029cad5c1c0c17 + .quad 0x7ccdd084387a0307 + + // 2^40 * 3 * G + + .quad 0xdca6422c6d260417 + .quad 0xae153d50948240bd + .quad 0xa9c0c1b4fb68c677 + .quad 0x428bd0ed61d0cf53 + .quad 0x9b0c84186760cc93 + .quad 0xcdae007a1ab32a99 + .quad 0xa88dec86620bda18 + .quad 0x3593ca848190ca44 + .quad 0x9213189a5e849aa7 + .quad 0xd4d8c33565d8facd + .quad 0x8c52545b53fdbbd1 + .quad 0x27398308da2d63e6 + + // 2^40 * 4 * G + + .quad 0x42c38d28435ed413 + .quad 0xbd50f3603278ccc9 + .quad 0xbb07ab1a79da03ef + .quad 0x269597aebe8c3355 + .quad 0xb9a10e4c0a702453 + .quad 0x0fa25866d57d1bde + .quad 0xffb9d9b5cd27daf7 + .quad 0x572c2945492c33fd + .quad 0xc77fc745d6cd30be + .quad 0xe4dfe8d3e3baaefb + .quad 0xa22c8830aa5dda0c + .quad 0x7f985498c05bca80 + + // 2^40 * 5 * G + + .quad 0x3849ce889f0be117 + .quad 0x8005ad1b7b54a288 + .quad 0x3da3c39f23fc921c + .quad 0x76c2ec470a31f304 + .quad 0xd35615520fbf6363 + .quad 0x08045a45cf4dfba6 + .quad 0xeec24fbc873fa0c2 + .quad 0x30f2653cd69b12e7 + .quad 0x8a08c938aac10c85 + .quad 0x46179b60db276bcb + .quad 0xa920c01e0e6fac70 + .quad 0x2f1273f1596473da + + // 2^40 * 6 * G + + .quad 0x4739fc7c8ae01e11 + .quad 0xfd5274904a6aab9f + .quad 0x41d98a8287728f2e + .quad 0x5d9e572ad85b69f2 + .quad 0x30488bd755a70bc0 + .quad 0x06d6b5a4f1d442e7 + .quad 0xead1a69ebc596162 + .quad 0x38ac1997edc5f784 + .quad 0x0666b517a751b13b + .quad 0x747d06867e9b858c + .quad 0xacacc011454dde49 + .quad 0x22dfcd9cbfe9e69c + + // 2^40 * 7 * G + + .quad 0x8ddbd2e0c30d0cd9 + .quad 0xad8e665facbb4333 + .quad 0x8f6b258c322a961f + .quad 0x6b2916c05448c1c7 + .quad 0x56ec59b4103be0a1 + .quad 0x2ee3baecd259f969 + .quad 0x797cb29413f5cd32 + .quad 0x0fe9877824cde472 + .quad 0x7edb34d10aba913b + .quad 0x4ea3cd822e6dac0e + .quad 0x66083dff6578f815 + .quad 0x4c303f307ff00a17 + + // 2^40 * 8 * G + + .quad 0xd30a3bd617b28c85 + .quad 0xc5d377b739773bea + .quad 0xc6c6e78c1e6a5cbf + .quad 0x0d61b8f78b2ab7c4 + .quad 0x29fc03580dd94500 + .quad 0xecd27aa46fbbec93 + .quad 0x130a155fc2e2a7f8 + .quad 0x416b151ab706a1d5 + .quad 0x56a8d7efe9c136b0 + .quad 0xbd07e5cd58e44b20 + .quad 0xafe62fda1b57e0ab + .quad 0x191a2af74277e8d2 + + // 2^44 * 1 * G + + .quad 0xd550095bab6f4985 + .quad 0x04f4cd5b4fbfaf1a + .quad 0x9d8e2ed12a0c7540 + .quad 0x2bc24e04b2212286 + .quad 0x09d4b60b2fe09a14 + .quad 0xc384f0afdbb1747e + .quad 0x58e2ea8978b5fd6e + .quad 0x519ef577b5e09b0a + .quad 0x1863d7d91124cca9 + .quad 0x7ac08145b88a708e + .quad 0x2bcd7309857031f5 + .quad 0x62337a6e8ab8fae5 + + // 2^44 * 2 * G + + .quad 0x4bcef17f06ffca16 + .quad 0xde06e1db692ae16a + .quad 0x0753702d614f42b0 + .quad 0x5f6041b45b9212d0 + .quad 0xd1ab324e1b3a1273 + .quad 0x18947cf181055340 + .quad 0x3b5d9567a98c196e + .quad 0x7fa00425802e1e68 + .quad 0x7d531574028c2705 + .quad 0x80317d69db0d75fe + .quad 0x30fface8ef8c8ddd + .quad 0x7e9de97bb6c3e998 + + // 2^44 * 3 * G + + .quad 0x1558967b9e6585a3 + .quad 0x97c99ce098e98b92 + .quad 0x10af149b6eb3adad + .quad 0x42181fe8f4d38cfa + .quad 0xf004be62a24d40dd + .quad 0xba0659910452d41f + .quad 0x81c45ee162a44234 + .quad 0x4cb829d8a22266ef + .quad 0x1dbcaa8407b86681 + .quad 0x081f001e8b26753b + .quad 0x3cd7ce6a84048e81 + .quad 0x78af11633f25f22c + + // 2^44 * 4 * G + + .quad 0x8416ebd40b50babc + .quad 0x1508722628208bee + .quad 0xa3148fafb9c1c36d + .quad 0x0d07daacd32d7d5d + .quad 0x3241c00e7d65318c + .quad 0xe6bee5dcd0e86de7 + .quad 0x118b2dc2fbc08c26 + .quad 0x680d04a7fc603dc3 + .quad 0xf9c2414a695aa3eb + .quad 0xdaa42c4c05a68f21 + .quad 0x7c6c23987f93963e + .quad 0x210e8cd30c3954e3 + + // 2^44 * 5 * G + + .quad 0xac4201f210a71c06 + .quad 0x6a65e0aef3bfb021 + .quad 0xbc42c35c393632f7 + .quad 0x56ea8db1865f0742 + .quad 0x2b50f16137fe6c26 + .quad 0xe102bcd856e404d8 + .quad 0x12b0f1414c561f6b + .quad 0x51b17bc8d028ec91 + .quad 0xfff5fb4bcf535119 + .quad 0xf4989d79df1108a0 + .quad 0xbdfcea659a3ba325 + .quad 0x18a11f1174d1a6f2 + + // 2^44 * 6 * G + + .quad 0x407375ab3f6bba29 + .quad 0x9ec3b6d8991e482e + .quad 0x99c80e82e55f92e9 + .quad 0x307c13b6fb0c0ae1 + .quad 0xfbd63cdad27a5f2c + .quad 0xf00fc4bc8aa106d7 + .quad 0x53fb5c1a8e64a430 + .quad 0x04eaabe50c1a2e85 + .quad 0x24751021cb8ab5e7 + .quad 0xfc2344495c5010eb + .quad 0x5f1e717b4e5610a1 + .quad 0x44da5f18c2710cd5 + + // 2^44 * 7 * G + + .quad 0x033cc55ff1b82eb5 + .quad 0xb15ae36d411cae52 + .quad 0xba40b6198ffbacd3 + .quad 0x768edce1532e861f + .quad 0x9156fe6b89d8eacc + .quad 0xe6b79451e23126a1 + .quad 0xbd7463d93944eb4e + .quad 0x726373f6767203ae + .quad 0xe305ca72eb7ef68a + .quad 0x662cf31f70eadb23 + .quad 0x18f026fdb4c45b68 + .quad 0x513b5384b5d2ecbd + + // 2^44 * 8 * G + + .quad 0x46d46280c729989e + .quad 0x4b93fbd05368a5dd + .quad 0x63df3f81d1765a89 + .quad 0x34cebd64b9a0a223 + .quad 0x5e2702878af34ceb + .quad 0x900b0409b946d6ae + .quad 0x6512ebf7dabd8512 + .quad 0x61d9b76988258f81 + .quad 0xa6c5a71349b7d94b + .quad 0xa3f3d15823eb9446 + .quad 0x0416fbd277484834 + .quad 0x69d45e6f2c70812f + + // 2^48 * 1 * G + + .quad 0xce16f74bc53c1431 + .quad 0x2b9725ce2072edde + .quad 0xb8b9c36fb5b23ee7 + .quad 0x7e2e0e450b5cc908 + .quad 0x9fe62b434f460efb + .quad 0xded303d4a63607d6 + .quad 0xf052210eb7a0da24 + .quad 0x237e7dbe00545b93 + .quad 0x013575ed6701b430 + .quad 0x231094e69f0bfd10 + .quad 0x75320f1583e47f22 + .quad 0x71afa699b11155e3 + + // 2^48 * 2 * G + + .quad 0x65ce6f9b3953b61d + .quad 0xc65839eaafa141e6 + .quad 0x0f435ffda9f759fe + .quad 0x021142e9c2b1c28e + .quad 0xea423c1c473b50d6 + .quad 0x51e87a1f3b38ef10 + .quad 0x9b84bf5fb2c9be95 + .quad 0x00731fbc78f89a1c + .quad 0xe430c71848f81880 + .quad 0xbf960c225ecec119 + .quad 0xb6dae0836bba15e3 + .quad 0x4c4d6f3347e15808 + + // 2^48 * 3 * G + + .quad 0x18f7eccfc17d1fc9 + .quad 0x6c75f5a651403c14 + .quad 0xdbde712bf7ee0cdf + .quad 0x193fddaaa7e47a22 + .quad 0x2f0cddfc988f1970 + .quad 0x6b916227b0b9f51b + .quad 0x6ec7b6c4779176be + .quad 0x38bf9500a88f9fa8 + .quad 0x1fd2c93c37e8876f + .quad 0xa2f61e5a18d1462c + .quad 0x5080f58239241276 + .quad 0x6a6fb99ebf0d4969 + + // 2^48 * 4 * G + + .quad 0x6a46c1bb560855eb + .quad 0x2416bb38f893f09d + .quad 0xd71d11378f71acc1 + .quad 0x75f76914a31896ea + .quad 0xeeb122b5b6e423c6 + .quad 0x939d7010f286ff8e + .quad 0x90a92a831dcf5d8c + .quad 0x136fda9f42c5eb10 + .quad 0xf94cdfb1a305bdd1 + .quad 0x0f364b9d9ff82c08 + .quad 0x2a87d8a5c3bb588a + .quad 0x022183510be8dcba + + // 2^48 * 5 * G + + .quad 0x4af766385ead2d14 + .quad 0xa08ed880ca7c5830 + .quad 0x0d13a6e610211e3d + .quad 0x6a071ce17b806c03 + .quad 0x9d5a710143307a7f + .quad 0xb063de9ec47da45f + .quad 0x22bbfe52be927ad3 + .quad 0x1387c441fd40426c + .quad 0xb5d3c3d187978af8 + .quad 0x722b5a3d7f0e4413 + .quad 0x0d7b4848bb477ca0 + .quad 0x3171b26aaf1edc92 + + // 2^48 * 6 * G + + .quad 0xa92f319097564ca8 + .quad 0xff7bb84c2275e119 + .quad 0x4f55fe37a4875150 + .quad 0x221fd4873cf0835a + .quad 0xa60db7d8b28a47d1 + .quad 0xa6bf14d61770a4f1 + .quad 0xd4a1f89353ddbd58 + .quad 0x6c514a63344243e9 + .quad 0x2322204f3a156341 + .quad 0xfb73e0e9ba0a032d + .quad 0xfce0dd4c410f030e + .quad 0x48daa596fb924aaa + + // 2^48 * 7 * G + + .quad 0x6eca8e665ca59cc7 + .quad 0xa847254b2e38aca0 + .quad 0x31afc708d21e17ce + .quad 0x676dd6fccad84af7 + .quad 0x14f61d5dc84c9793 + .quad 0x9941f9e3ef418206 + .quad 0xcdf5b88f346277ac + .quad 0x58c837fa0e8a79a9 + .quad 0x0cf9688596fc9058 + .quad 0x1ddcbbf37b56a01b + .quad 0xdcc2e77d4935d66a + .quad 0x1c4f73f2c6a57f0a + + // 2^48 * 8 * G + + .quad 0x0e7a4fbd305fa0bb + .quad 0x829d4ce054c663ad + .quad 0xf421c3832fe33848 + .quad 0x795ac80d1bf64c42 + .quad 0xb36e706efc7c3484 + .quad 0x73dfc9b4c3c1cf61 + .quad 0xeb1d79c9781cc7e5 + .quad 0x70459adb7daf675c + .quad 0x1b91db4991b42bb3 + .quad 0x572696234b02dcca + .quad 0x9fdf9ee51f8c78dc + .quad 0x5fe162848ce21fd3 + + // 2^52 * 1 * G + + .quad 0xe2790aae4d077c41 + .quad 0x8b938270db7469a3 + .quad 0x6eb632dc8abd16a2 + .quad 0x720814ecaa064b72 + .quad 0x315c29c795115389 + .quad 0xd7e0e507862f74ce + .quad 0x0c4a762185927432 + .quad 0x72de6c984a25a1e4 + .quad 0xae9ab553bf6aa310 + .quad 0x050a50a9806d6e1b + .quad 0x92bb7403adff5139 + .quad 0x0394d27645be618b + + // 2^52 * 2 * G + + .quad 0x4d572251857eedf4 + .quad 0xe3724edde19e93c5 + .quad 0x8a71420e0b797035 + .quad 0x3b3c833687abe743 + .quad 0xf5396425b23545a4 + .quad 0x15a7a27e98fbb296 + .quad 0xab6c52bc636fdd86 + .quad 0x79d995a8419334ee + .quad 0xcd8a8ea61195dd75 + .quad 0xa504d8a81dd9a82f + .quad 0x540dca81a35879b6 + .quad 0x60dd16a379c86a8a + + // 2^52 * 3 * G + + .quad 0x35a2c8487381e559 + .quad 0x596ffea6d78082cb + .quad 0xcb9771ebdba7b653 + .quad 0x5a08b5019b4da685 + .quad 0x3501d6f8153e47b8 + .quad 0xb7a9675414a2f60c + .quad 0x112ee8b6455d9523 + .quad 0x4e62a3c18112ea8a + .quad 0xc8d4ac04516ab786 + .quad 0x595af3215295b23d + .quad 0xd6edd234db0230c1 + .quad 0x0929efe8825b41cc + + // 2^52 * 4 * G + + .quad 0x5f0601d1cbd0f2d3 + .quad 0x736e412f6132bb7f + .quad 0x83604432238dde87 + .quad 0x1e3a5272f5c0753c + .quad 0x8b3172b7ad56651d + .quad 0x01581b7a3fabd717 + .quad 0x2dc94df6424df6e4 + .quad 0x30376e5d2c29284f + .quad 0xd2918da78159a59c + .quad 0x6bdc1cd93f0713f3 + .quad 0x565f7a934acd6590 + .quad 0x53daacec4cb4c128 + + // 2^52 * 5 * G + + .quad 0x4ca73bd79cc8a7d6 + .quad 0x4d4a738f47e9a9b2 + .quad 0xf4cbf12942f5fe00 + .quad 0x01a13ff9bdbf0752 + .quad 0x99852bc3852cfdb0 + .quad 0x2cc12e9559d6ed0b + .quad 0x70f9e2bf9b5ac27b + .quad 0x4f3b8c117959ae99 + .quad 0x55b6c9c82ff26412 + .quad 0x1ac4a8c91fb667a8 + .quad 0xd527bfcfeb778bf2 + .quad 0x303337da7012a3be + + // 2^52 * 6 * G + + .quad 0x955422228c1c9d7c + .quad 0x01fac1371a9b340f + .quad 0x7e8d9177925b48d7 + .quad 0x53f8ad5661b3e31b + .quad 0x976d3ccbfad2fdd1 + .quad 0xcb88839737a640a8 + .quad 0x2ff00c1d6734cb25 + .quad 0x269ff4dc789c2d2b + .quad 0x0c003fbdc08d678d + .quad 0x4d982fa37ead2b17 + .quad 0xc07e6bcdb2e582f1 + .quad 0x296c7291df412a44 + + // 2^52 * 7 * G + + .quad 0x7903de2b33daf397 + .quad 0xd0ff0619c9a624b3 + .quad 0x8a1d252b555b3e18 + .quad 0x2b6d581c52e0b7c0 + .quad 0xdfb23205dab8b59e + .quad 0x465aeaa0c8092250 + .quad 0xd133c1189a725d18 + .quad 0x2327370261f117d1 + .quad 0x3d0543d3623e7986 + .quad 0x679414c2c278a354 + .quad 0xae43f0cc726196f6 + .quad 0x7836c41f8245eaba + + // 2^52 * 8 * G + + .quad 0xe7a254db49e95a81 + .quad 0x5192d5d008b0ad73 + .quad 0x4d20e5b1d00afc07 + .quad 0x5d55f8012cf25f38 + .quad 0xca651e848011937c + .quad 0xc6b0c46e6ef41a28 + .quad 0xb7021ba75f3f8d52 + .quad 0x119dff99ead7b9fd + .quad 0x43eadfcbf4b31d4d + .quad 0xc6503f7411148892 + .quad 0xfeee68c5060d3b17 + .quad 0x329293b3dd4a0ac8 + + // 2^56 * 1 * G + + .quad 0x4e59214fe194961a + .quad 0x49be7dc70d71cd4f + .quad 0x9300cfd23b50f22d + .quad 0x4789d446fc917232 + .quad 0x2879852d5d7cb208 + .quad 0xb8dedd70687df2e7 + .quad 0xdc0bffab21687891 + .quad 0x2b44c043677daa35 + .quad 0x1a1c87ab074eb78e + .quad 0xfac6d18e99daf467 + .quad 0x3eacbbcd484f9067 + .quad 0x60c52eef2bb9a4e4 + + // 2^56 * 2 * G + + .quad 0x0b5d89bc3bfd8bf1 + .quad 0xb06b9237c9f3551a + .quad 0x0e4c16b0d53028f5 + .quad 0x10bc9c312ccfcaab + .quad 0x702bc5c27cae6d11 + .quad 0x44c7699b54a48cab + .quad 0xefbc4056ba492eb2 + .quad 0x70d77248d9b6676d + .quad 0xaa8ae84b3ec2a05b + .quad 0x98699ef4ed1781e0 + .quad 0x794513e4708e85d1 + .quad 0x63755bd3a976f413 + + // 2^56 * 3 * G + + .quad 0xb55fa03e2ad10853 + .quad 0x356f75909ee63569 + .quad 0x9ff9f1fdbe69b890 + .quad 0x0d8cc1c48bc16f84 + .quad 0x3dc7101897f1acb7 + .quad 0x5dda7d5ec165bbd8 + .quad 0x508e5b9c0fa1020f + .quad 0x2763751737c52a56 + .quad 0x029402d36eb419a9 + .quad 0xf0b44e7e77b460a5 + .quad 0xcfa86230d43c4956 + .quad 0x70c2dd8a7ad166e7 + + // 2^56 * 4 * G + + .quad 0x656194509f6fec0e + .quad 0xee2e7ea946c6518d + .quad 0x9733c1f367e09b5c + .quad 0x2e0fac6363948495 + .quad 0x91d4967db8ed7e13 + .quad 0x74252f0ad776817a + .quad 0xe40982e00d852564 + .quad 0x32b8613816a53ce5 + .quad 0x79e7f7bee448cd64 + .quad 0x6ac83a67087886d0 + .quad 0xf89fd4d9a0e4db2e + .quad 0x4179215c735a4f41 + + // 2^56 * 5 * G + + .quad 0x8c7094e7d7dced2a + .quad 0x97fb8ac347d39c70 + .quad 0xe13be033a906d902 + .quad 0x700344a30cd99d76 + .quad 0xe4ae33b9286bcd34 + .quad 0xb7ef7eb6559dd6dc + .quad 0x278b141fb3d38e1f + .quad 0x31fa85662241c286 + .quad 0xaf826c422e3622f4 + .quad 0xc12029879833502d + .quad 0x9bc1b7e12b389123 + .quad 0x24bb2312a9952489 + + // 2^56 * 6 * G + + .quad 0xb1a8ed1732de67c3 + .quad 0x3cb49418461b4948 + .quad 0x8ebd434376cfbcd2 + .quad 0x0fee3e871e188008 + .quad 0x41f80c2af5f85c6b + .quad 0x687284c304fa6794 + .quad 0x8945df99a3ba1bad + .quad 0x0d1d2af9ffeb5d16 + .quad 0xa9da8aa132621edf + .quad 0x30b822a159226579 + .quad 0x4004197ba79ac193 + .quad 0x16acd79718531d76 + + // 2^56 * 7 * G + + .quad 0x72df72af2d9b1d3d + .quad 0x63462a36a432245a + .quad 0x3ecea07916b39637 + .quad 0x123e0ef6b9302309 + .quad 0xc959c6c57887b6ad + .quad 0x94e19ead5f90feba + .quad 0x16e24e62a342f504 + .quad 0x164ed34b18161700 + .quad 0x487ed94c192fe69a + .quad 0x61ae2cea3a911513 + .quad 0x877bf6d3b9a4de27 + .quad 0x78da0fc61073f3eb + + // 2^56 * 8 * G + + .quad 0x5bf15d28e52bc66a + .quad 0x2c47e31870f01a8e + .quad 0x2419afbc06c28bdd + .quad 0x2d25deeb256b173a + .quad 0xa29f80f1680c3a94 + .quad 0x71f77e151ae9e7e6 + .quad 0x1100f15848017973 + .quad 0x054aa4b316b38ddd + .quad 0xdfc8468d19267cb8 + .quad 0x0b28789c66e54daf + .quad 0x2aeb1d2a666eec17 + .quad 0x134610a6ab7da760 + + // 2^60 * 1 * G + + .quad 0xcaf55ec27c59b23f + .quad 0x99aeed3e154d04f2 + .quad 0x68441d72e14141f4 + .quad 0x140345133932a0a2 + .quad 0xd91430e0dc028c3c + .quad 0x0eb955a85217c771 + .quad 0x4b09e1ed2c99a1fa + .quad 0x42881af2bd6a743c + .quad 0x7bfec69aab5cad3d + .quad 0xc23e8cd34cb2cfad + .quad 0x685dd14bfb37d6a2 + .quad 0x0ad6d64415677a18 + + // 2^60 * 2 * G + + .quad 0x781a439e417becb5 + .quad 0x4ac5938cd10e0266 + .quad 0x5da385110692ac24 + .quad 0x11b065a2ade31233 + .quad 0x7914892847927e9f + .quad 0x33dad6ef370aa877 + .quad 0x1f8f24fa11122703 + .quad 0x5265ac2f2adf9592 + .quad 0x405fdd309afcb346 + .quad 0xd9723d4428e63f54 + .quad 0x94c01df05f65aaae + .quad 0x43e4dc3ae14c0809 + + // 2^60 * 3 * G + + .quad 0xbc12c7f1a938a517 + .quad 0x473028ab3180b2e1 + .quad 0x3f78571efbcd254a + .quad 0x74e534426ff6f90f + .quad 0xea6f7ac3adc2c6a3 + .quad 0xd0e928f6e9717c94 + .quad 0xe2d379ead645eaf5 + .quad 0x46dd8785c51ffbbe + .quad 0x709801be375c8898 + .quad 0x4b06dab5e3fd8348 + .quad 0x75880ced27230714 + .quad 0x2b09468fdd2f4c42 + + // 2^60 * 4 * G + + .quad 0x97c749eeb701cb96 + .quad 0x83f438d4b6a369c3 + .quad 0x62962b8b9a402cd9 + .quad 0x6976c7509888df7b + .quad 0x5b97946582ffa02a + .quad 0xda096a51fea8f549 + .quad 0xa06351375f77af9b + .quad 0x1bcfde61201d1e76 + .quad 0x4a4a5490246a59a2 + .quad 0xd63ebddee87fdd90 + .quad 0xd9437c670d2371fa + .quad 0x69e87308d30f8ed6 + + // 2^60 * 5 * G + + .quad 0x435a8bb15656beb0 + .quad 0xf8fac9ba4f4d5bca + .quad 0xb9b278c41548c075 + .quad 0x3eb0ef76e892b622 + .quad 0x0f80bf028bc80303 + .quad 0x6aae16b37a18cefb + .quad 0xdd47ea47d72cd6a3 + .quad 0x61943588f4ed39aa + .quad 0xd26e5c3e91039f85 + .quad 0xc0e9e77df6f33aa9 + .quad 0xe8968c5570066a93 + .quad 0x3c34d1881faaaddd + + // 2^60 * 6 * G + + .quad 0x3f9d2b5ea09f9ec0 + .quad 0x1dab3b6fb623a890 + .quad 0xa09ba3ea72d926c4 + .quad 0x374193513fd8b36d + .quad 0xbd5b0b8f2fffe0d9 + .quad 0x6aa254103ed24fb9 + .quad 0x2ac7d7bcb26821c4 + .quad 0x605b394b60dca36a + .quad 0xb4e856e45a9d1ed2 + .quad 0xefe848766c97a9a2 + .quad 0xb104cf641e5eee7d + .quad 0x2f50b81c88a71c8f + + // 2^60 * 7 * G + + .quad 0x31723c61fc6811bb + .quad 0x9cb450486211800f + .quad 0x768933d347995753 + .quad 0x3491a53502752fcd + .quad 0x2b552ca0a7da522a + .quad 0x3230b336449b0250 + .quad 0xf2c4c5bca4b99fb9 + .quad 0x7b2c674958074a22 + .quad 0xd55165883ed28cdf + .quad 0x12d84fd2d362de39 + .quad 0x0a874ad3e3378e4f + .quad 0x000d2b1f7c763e74 + + // 2^60 * 8 * G + + .quad 0x3d420811d06d4a67 + .quad 0xbefc048590e0ffe3 + .quad 0xf870c6b7bd487bde + .quad 0x6e2a7316319afa28 + .quad 0x9624778c3e94a8ab + .quad 0x0ad6f3cee9a78bec + .quad 0x948ac7810d743c4f + .quad 0x76627935aaecfccc + .quad 0x56a8ac24d6d59a9f + .quad 0xc8db753e3096f006 + .quad 0x477f41e68f4c5299 + .quad 0x588d851cf6c86114 + + // 2^64 * 1 * G + + .quad 0x51138ec78df6b0fe + .quad 0x5397da89e575f51b + .quad 0x09207a1d717af1b9 + .quad 0x2102fdba2b20d650 + .quad 0xcd2a65e777d1f515 + .quad 0x548991878faa60f1 + .quad 0xb1b73bbcdabc06e5 + .quad 0x654878cba97cc9fb + .quad 0x969ee405055ce6a1 + .quad 0x36bca7681251ad29 + .quad 0x3a1af517aa7da415 + .quad 0x0ad725db29ecb2ba + + // 2^64 * 2 * G + + .quad 0xdc4267b1834e2457 + .quad 0xb67544b570ce1bc5 + .quad 0x1af07a0bf7d15ed7 + .quad 0x4aefcffb71a03650 + .quad 0xfec7bc0c9b056f85 + .quad 0x537d5268e7f5ffd7 + .quad 0x77afc6624312aefa + .quad 0x4f675f5302399fd9 + .quad 0xc32d36360415171e + .quad 0xcd2bef118998483b + .quad 0x870a6eadd0945110 + .quad 0x0bccbb72a2a86561 + + // 2^64 * 3 * G + + .quad 0x185e962feab1a9c8 + .quad 0x86e7e63565147dcd + .quad 0xb092e031bb5b6df2 + .quad 0x4024f0ab59d6b73e + .quad 0x186d5e4c50fe1296 + .quad 0xe0397b82fee89f7e + .quad 0x3bc7f6c5507031b0 + .quad 0x6678fd69108f37c2 + .quad 0x1586fa31636863c2 + .quad 0x07f68c48572d33f2 + .quad 0x4f73cc9f789eaefc + .quad 0x2d42e2108ead4701 + + // 2^64 * 4 * G + + .quad 0x97f5131594dfd29b + .quad 0x6155985d313f4c6a + .quad 0xeba13f0708455010 + .quad 0x676b2608b8d2d322 + .quad 0x21717b0d0f537593 + .quad 0x914e690b131e064c + .quad 0x1bb687ae752ae09f + .quad 0x420bf3a79b423c6e + .quad 0x8138ba651c5b2b47 + .quad 0x8671b6ec311b1b80 + .quad 0x7bff0cb1bc3135b0 + .quad 0x745d2ffa9c0cf1e0 + + // 2^64 * 5 * G + + .quad 0xbf525a1e2bc9c8bd + .quad 0xea5b260826479d81 + .quad 0xd511c70edf0155db + .quad 0x1ae23ceb960cf5d0 + .quad 0x6036df5721d34e6a + .quad 0xb1db8827997bb3d0 + .quad 0xd3c209c3c8756afa + .quad 0x06e15be54c1dc839 + .quad 0x5b725d871932994a + .quad 0x32351cb5ceb1dab0 + .quad 0x7dc41549dab7ca05 + .quad 0x58ded861278ec1f7 + + // 2^64 * 6 * G + + .quad 0xd8173793f266c55c + .quad 0xc8c976c5cc454e49 + .quad 0x5ce382f8bc26c3a8 + .quad 0x2ff39de85485f6f9 + .quad 0x2dfb5ba8b6c2c9a8 + .quad 0x48eeef8ef52c598c + .quad 0x33809107f12d1573 + .quad 0x08ba696b531d5bd8 + .quad 0x77ed3eeec3efc57a + .quad 0x04e05517d4ff4811 + .quad 0xea3d7a3ff1a671cb + .quad 0x120633b4947cfe54 + + // 2^64 * 7 * G + + .quad 0x0b94987891610042 + .quad 0x4ee7b13cecebfae8 + .quad 0x70be739594f0a4c0 + .quad 0x35d30a99b4d59185 + .quad 0x82bd31474912100a + .quad 0xde237b6d7e6fbe06 + .quad 0xe11e761911ea79c6 + .quad 0x07433be3cb393bde + .quad 0xff7944c05ce997f4 + .quad 0x575d3de4b05c51a3 + .quad 0x583381fd5a76847c + .quad 0x2d873ede7af6da9f + + // 2^64 * 8 * G + + .quad 0x157a316443373409 + .quad 0xfab8b7eef4aa81d9 + .quad 0xb093fee6f5a64806 + .quad 0x2e773654707fa7b6 + .quad 0xaa6202e14e5df981 + .quad 0xa20d59175015e1f5 + .quad 0x18a275d3bae21d6c + .quad 0x0543618a01600253 + .quad 0x0deabdf4974c23c1 + .quad 0xaa6f0a259dce4693 + .quad 0x04202cb8a29aba2c + .quad 0x4b1443362d07960d + + // 2^68 * 1 * G + + .quad 0x47b837f753242cec + .quad 0x256dc48cc04212f2 + .quad 0xe222fbfbe1d928c5 + .quad 0x48ea295bad8a2c07 + .quad 0x299b1c3f57c5715e + .quad 0x96cb929e6b686d90 + .quad 0x3004806447235ab3 + .quad 0x2c435c24a44d9fe1 + .quad 0x0607c97c80f8833f + .quad 0x0e851578ca25ec5b + .quad 0x54f7450b161ebb6f + .quad 0x7bcb4792a0def80e + + // 2^68 * 2 * G + + .quad 0x8487e3d02bc73659 + .quad 0x4baf8445059979df + .quad 0xd17c975adcad6fbf + .quad 0x57369f0bdefc96b6 + .quad 0x1cecd0a0045224c2 + .quad 0x757f1b1b69e53952 + .quad 0x775b7a925289f681 + .quad 0x1b6cc62016736148 + .quad 0xf1a9990175638698 + .quad 0x353dd1beeeaa60d3 + .quad 0x849471334c9ba488 + .quad 0x63fa6e6843ade311 + + // 2^68 * 3 * G + + .quad 0xd15c20536597c168 + .quad 0x9f73740098d28789 + .quad 0x18aee7f13257ba1f + .quad 0x3418bfda07346f14 + .quad 0x2195becdd24b5eb7 + .quad 0x5e41f18cc0cd44f9 + .quad 0xdf28074441ca9ede + .quad 0x07073b98f35b7d67 + .quad 0xd03c676c4ce530d4 + .quad 0x0b64c0473b5df9f4 + .quad 0x065cef8b19b3a31e + .quad 0x3084d661533102c9 + + // 2^68 * 4 * G + + .quad 0xe1f6b79ebf8469ad + .quad 0x15801004e2663135 + .quad 0x9a498330af74181b + .quad 0x3ba2504f049b673c + .quad 0x9a6ce876760321fd + .quad 0x7fe2b5109eb63ad8 + .quad 0x00e7d4ae8ac80592 + .quad 0x73d86b7abb6f723a + .quad 0x0b52b5606dba5ab6 + .quad 0xa9134f0fbbb1edab + .quad 0x30a9520d9b04a635 + .quad 0x6813b8f37973e5db + + // 2^68 * 5 * G + + .quad 0x9854b054334127c1 + .quad 0x105d047882fbff25 + .quad 0xdb49f7f944186f4f + .quad 0x1768e838bed0b900 + .quad 0xf194ca56f3157e29 + .quad 0x136d35705ef528a5 + .quad 0xdd4cef778b0599bc + .quad 0x7d5472af24f833ed + .quad 0xd0ef874daf33da47 + .quad 0x00d3be5db6e339f9 + .quad 0x3f2a8a2f9c9ceece + .quad 0x5d1aeb792352435a + + // 2^68 * 6 * G + + .quad 0xf59e6bb319cd63ca + .quad 0x670c159221d06839 + .quad 0xb06d565b2150cab6 + .quad 0x20fb199d104f12a3 + .quad 0x12c7bfaeb61ba775 + .quad 0xb84e621fe263bffd + .quad 0x0b47a5c35c840dcf + .quad 0x7e83be0bccaf8634 + .quad 0x61943dee6d99c120 + .quad 0x86101f2e460b9fe0 + .quad 0x6bb2f1518ee8598d + .quad 0x76b76289fcc475cc + + // 2^68 * 7 * G + + .quad 0x791b4cc1756286fa + .quad 0xdbced317d74a157c + .quad 0x7e732421ea72bde6 + .quad 0x01fe18491131c8e9 + .quad 0x4245f1a1522ec0b3 + .quad 0x558785b22a75656d + .quad 0x1d485a2548a1b3c0 + .quad 0x60959eccd58fe09f + .quad 0x3ebfeb7ba8ed7a09 + .quad 0x49fdc2bbe502789c + .quad 0x44ebce5d3c119428 + .quad 0x35e1eb55be947f4a + + // 2^68 * 8 * G + + .quad 0xdbdae701c5738dd3 + .quad 0xf9c6f635b26f1bee + .quad 0x61e96a8042f15ef4 + .quad 0x3aa1d11faf60a4d8 + .quad 0x14fd6dfa726ccc74 + .quad 0x3b084cfe2f53b965 + .quad 0xf33ae4f552a2c8b4 + .quad 0x59aab07a0d40166a + .quad 0x77bcec4c925eac25 + .quad 0x1848718460137738 + .quad 0x5b374337fea9f451 + .quad 0x1865e78ec8e6aa46 + + // 2^72 * 1 * G + + .quad 0xccc4b7c7b66e1f7a + .quad 0x44157e25f50c2f7e + .quad 0x3ef06dfc713eaf1c + .quad 0x582f446752da63f7 + .quad 0x967c54e91c529ccb + .quad 0x30f6269264c635fb + .quad 0x2747aff478121965 + .quad 0x17038418eaf66f5c + .quad 0xc6317bd320324ce4 + .quad 0xa81042e8a4488bc4 + .quad 0xb21ef18b4e5a1364 + .quad 0x0c2a1c4bcda28dc9 + + // 2^72 * 2 * G + + .quad 0xd24dc7d06f1f0447 + .quad 0xb2269e3edb87c059 + .quad 0xd15b0272fbb2d28f + .quad 0x7c558bd1c6f64877 + .quad 0xedc4814869bd6945 + .quad 0x0d6d907dbe1c8d22 + .quad 0xc63bd212d55cc5ab + .quad 0x5a6a9b30a314dc83 + .quad 0xd0ec1524d396463d + .quad 0x12bb628ac35a24f0 + .quad 0xa50c3a791cbc5fa4 + .quad 0x0404a5ca0afbafc3 + + // 2^72 * 3 * G + + .quad 0x8c1f40070aa743d6 + .quad 0xccbad0cb5b265ee8 + .quad 0x574b046b668fd2de + .quad 0x46395bfdcadd9633 + .quad 0x62bc9e1b2a416fd1 + .quad 0xb5c6f728e350598b + .quad 0x04343fd83d5d6967 + .quad 0x39527516e7f8ee98 + .quad 0x117fdb2d1a5d9a9c + .quad 0x9c7745bcd1005c2a + .quad 0xefd4bef154d56fea + .quad 0x76579a29e822d016 + + // 2^72 * 4 * G + + .quad 0x45b68e7e49c02a17 + .quad 0x23cd51a2bca9a37f + .quad 0x3ed65f11ec224c1b + .quad 0x43a384dc9e05bdb1 + .quad 0x333cb51352b434f2 + .quad 0xd832284993de80e1 + .quad 0xb5512887750d35ce + .quad 0x02c514bb2a2777c1 + .quad 0x684bd5da8bf1b645 + .quad 0xfb8bd37ef6b54b53 + .quad 0x313916d7a9b0d253 + .quad 0x1160920961548059 + + // 2^72 * 5 * G + + .quad 0xb44d166929dacfaa + .quad 0xda529f4c8413598f + .quad 0xe9ef63ca453d5559 + .quad 0x351e125bc5698e0b + .quad 0x7a385616369b4dcd + .quad 0x75c02ca7655c3563 + .quad 0x7dc21bf9d4f18021 + .quad 0x2f637d7491e6e042 + .quad 0xd4b49b461af67bbe + .quad 0xd603037ac8ab8961 + .quad 0x71dee19ff9a699fb + .quad 0x7f182d06e7ce2a9a + + // 2^72 * 6 * G + + .quad 0x7a7c8e64ab0168ec + .quad 0xcb5a4a5515edc543 + .quad 0x095519d347cd0eda + .quad 0x67d4ac8c343e93b0 + .quad 0x09454b728e217522 + .quad 0xaa58e8f4d484b8d8 + .quad 0xd358254d7f46903c + .quad 0x44acc043241c5217 + .quad 0x1c7d6bbb4f7a5777 + .quad 0x8b35fed4918313e1 + .quad 0x4adca1c6c96b4684 + .quad 0x556d1c8312ad71bd + + // 2^72 * 7 * G + + .quad 0x17ef40e30c8d3982 + .quad 0x31f7073e15a3fa34 + .quad 0x4f21f3cb0773646e + .quad 0x746c6c6d1d824eff + .quad 0x81f06756b11be821 + .quad 0x0faff82310a3f3dd + .quad 0xf8b2d0556a99465d + .quad 0x097abe38cc8c7f05 + .quad 0x0c49c9877ea52da4 + .quad 0x4c4369559bdc1d43 + .quad 0x022c3809f7ccebd2 + .quad 0x577e14a34bee84bd + + // 2^72 * 8 * G + + .quad 0xf0e268ac61a73b0a + .quad 0xf2fafa103791a5f5 + .quad 0xc1e13e826b6d00e9 + .quad 0x60fa7ee96fd78f42 + .quad 0x94fecebebd4dd72b + .quad 0xf46a4fda060f2211 + .quad 0x124a5977c0c8d1ff + .quad 0x705304b8fb009295 + .quad 0xb63d1d354d296ec6 + .quad 0xf3c3053e5fad31d8 + .quad 0x670b958cb4bd42ec + .quad 0x21398e0ca16353fd + + // 2^76 * 1 * G + + .quad 0x216ab2ca8da7d2ef + .quad 0x366ad9dd99f42827 + .quad 0xae64b9004fdd3c75 + .quad 0x403a395b53909e62 + .quad 0x86c5fc16861b7e9a + .quad 0xf6a330476a27c451 + .quad 0x01667267a1e93597 + .quad 0x05ffb9cd6082dfeb + .quad 0xa617fa9ff53f6139 + .quad 0x60f2b5e513e66cb6 + .quad 0xd7a8beefb3448aa4 + .quad 0x7a2932856f5ea192 + + // 2^76 * 2 * G + + .quad 0x0b39d761b02de888 + .quad 0x5f550e7ed2414e1f + .quad 0xa6bfa45822e1a940 + .quad 0x050a2f7dfd447b99 + .quad 0xb89c444879639302 + .quad 0x4ae4f19350c67f2c + .quad 0xf0b35da8c81af9c6 + .quad 0x39d0003546871017 + .quad 0x437c3b33a650db77 + .quad 0x6bafe81dbac52bb2 + .quad 0xfe99402d2db7d318 + .quad 0x2b5b7eec372ba6ce + + // 2^76 * 3 * G + + .quad 0xb3bc4bbd83f50eef + .quad 0x508f0c998c927866 + .quad 0x43e76587c8b7e66e + .quad 0x0f7655a3a47f98d9 + .quad 0xa694404d613ac8f4 + .quad 0x500c3c2bfa97e72c + .quad 0x874104d21fcec210 + .quad 0x1b205fb38604a8ee + .quad 0x55ecad37d24b133c + .quad 0x441e147d6038c90b + .quad 0x656683a1d62c6fee + .quad 0x0157d5dc87e0ecae + + // 2^76 * 4 * G + + .quad 0xf2a7af510354c13d + .quad 0xd7a0b145aa372b60 + .quad 0x2869b96a05a3d470 + .quad 0x6528e42d82460173 + .quad 0x95265514d71eb524 + .quad 0xe603d8815df14593 + .quad 0x147cdf410d4de6b7 + .quad 0x5293b1730437c850 + .quad 0x23d0e0814bccf226 + .quad 0x92c745cd8196fb93 + .quad 0x8b61796c59541e5b + .quad 0x40a44df0c021f978 + + // 2^76 * 5 * G + + .quad 0xdaa869894f20ea6a + .quad 0xea14a3d14c620618 + .quad 0x6001fccb090bf8be + .quad 0x35f4e822947e9cf0 + .quad 0x86c96e514bc5d095 + .quad 0xf20d4098fca6804a + .quad 0x27363d89c826ea5d + .quad 0x39ca36565719cacf + .quad 0x97506f2f6f87b75c + .quad 0xc624aea0034ae070 + .quad 0x1ec856e3aad34dd6 + .quad 0x055b0be0e440e58f + + // 2^76 * 6 * G + + .quad 0x6469a17d89735d12 + .quad 0xdb6f27d5e662b9f1 + .quad 0x9fcba3286a395681 + .quad 0x363b8004d269af25 + .quad 0x4d12a04b6ea33da2 + .quad 0x57cf4c15e36126dd + .quad 0x90ec9675ee44d967 + .quad 0x64ca348d2a985aac + .quad 0x99588e19e4c4912d + .quad 0xefcc3b4e1ca5ce6b + .quad 0x4522ea60fa5b98d5 + .quad 0x7064bbab1de4a819 + + // 2^76 * 7 * G + + .quad 0xb919e1515a770641 + .quad 0xa9a2e2c74e7f8039 + .quad 0x7527250b3df23109 + .quad 0x756a7330ac27b78b + .quad 0xa290c06142542129 + .quad 0xf2e2c2aebe8d5b90 + .quad 0xcf2458db76abfe1b + .quad 0x02157ade83d626bf + .quad 0x3e46972a1b9a038b + .quad 0x2e4ee66a7ee03fb4 + .quad 0x81a248776edbb4ca + .quad 0x1a944ee88ecd0563 + + // 2^76 * 8 * G + + .quad 0xd5a91d1151039372 + .quad 0x2ed377b799ca26de + .quad 0xa17202acfd366b6b + .quad 0x0730291bd6901995 + .quad 0xbb40a859182362d6 + .quad 0xb99f55778a4d1abb + .quad 0x8d18b427758559f6 + .quad 0x26c20fe74d26235a + .quad 0x648d1d9fe9cc22f5 + .quad 0x66bc561928dd577c + .quad 0x47d3ed21652439d1 + .quad 0x49d271acedaf8b49 + + // 2^80 * 1 * G + + .quad 0x89f5058a382b33f3 + .quad 0x5ae2ba0bad48c0b4 + .quad 0x8f93b503a53db36e + .quad 0x5aa3ed9d95a232e6 + .quad 0x2798aaf9b4b75601 + .quad 0x5eac72135c8dad72 + .quad 0xd2ceaa6161b7a023 + .quad 0x1bbfb284e98f7d4e + .quad 0x656777e9c7d96561 + .quad 0xcb2b125472c78036 + .quad 0x65053299d9506eee + .quad 0x4a07e14e5e8957cc + + // 2^80 * 2 * G + + .quad 0x4ee412cb980df999 + .quad 0xa315d76f3c6ec771 + .quad 0xbba5edde925c77fd + .quad 0x3f0bac391d313402 + .quad 0x240b58cdc477a49b + .quad 0xfd38dade6447f017 + .quad 0x19928d32a7c86aad + .quad 0x50af7aed84afa081 + .quad 0x6e4fde0115f65be5 + .quad 0x29982621216109b2 + .quad 0x780205810badd6d9 + .quad 0x1921a316baebd006 + + // 2^80 * 3 * G + + .quad 0x89422f7edfb870fc + .quad 0x2c296beb4f76b3bd + .quad 0x0738f1d436c24df7 + .quad 0x6458df41e273aeb0 + .quad 0xd75aad9ad9f3c18b + .quad 0x566a0eef60b1c19c + .quad 0x3e9a0bac255c0ed9 + .quad 0x7b049deca062c7f5 + .quad 0xdccbe37a35444483 + .quad 0x758879330fedbe93 + .quad 0x786004c312c5dd87 + .quad 0x6093dccbc2950e64 + + // 2^80 * 4 * G + + .quad 0x1ff39a8585e0706d + .quad 0x36d0a5d8b3e73933 + .quad 0x43b9f2e1718f453b + .quad 0x57d1ea084827a97c + .quad 0x6bdeeebe6084034b + .quad 0x3199c2b6780fb854 + .quad 0x973376abb62d0695 + .quad 0x6e3180c98b647d90 + .quad 0xee7ab6e7a128b071 + .quad 0xa4c1596d93a88baa + .quad 0xf7b4de82b2216130 + .quad 0x363e999ddd97bd18 + + // 2^80 * 5 * G + + .quad 0x96a843c135ee1fc4 + .quad 0x976eb35508e4c8cf + .quad 0xb42f6801b58cd330 + .quad 0x48ee9b78693a052b + .quad 0x2f1848dce24baec6 + .quad 0x769b7255babcaf60 + .quad 0x90cb3c6e3cefe931 + .quad 0x231f979bc6f9b355 + .quad 0x5c31de4bcc2af3c6 + .quad 0xb04bb030fe208d1f + .quad 0xb78d7009c14fb466 + .quad 0x079bfa9b08792413 + + // 2^80 * 6 * G + + .quad 0xe3903a51da300df4 + .quad 0x843964233da95ab0 + .quad 0xed3cf12d0b356480 + .quad 0x038c77f684817194 + .quad 0xf3c9ed80a2d54245 + .quad 0x0aa08b7877f63952 + .quad 0xd76dac63d1085475 + .quad 0x1ef4fb159470636b + .quad 0x854e5ee65b167bec + .quad 0x59590a4296d0cdc2 + .quad 0x72b2df3498102199 + .quad 0x575ee92a4a0bff56 + + // 2^80 * 7 * G + + .quad 0xd4c080908a182fcf + .quad 0x30e170c299489dbd + .quad 0x05babd5752f733de + .quad 0x43d4e7112cd3fd00 + .quad 0x5d46bc450aa4d801 + .quad 0xc3af1227a533b9d8 + .quad 0x389e3b262b8906c2 + .quad 0x200a1e7e382f581b + .quad 0x518db967eaf93ac5 + .quad 0x71bc989b056652c0 + .quad 0xfe2b85d9567197f5 + .quad 0x050eca52651e4e38 + + // 2^80 * 8 * G + + .quad 0xc3431ade453f0c9c + .quad 0xe9f5045eff703b9b + .quad 0xfcd97ac9ed847b3d + .quad 0x4b0ee6c21c58f4c6 + .quad 0x97ac397660e668ea + .quad 0x9b19bbfe153ab497 + .quad 0x4cb179b534eca79f + .quad 0x6151c09fa131ae57 + .quad 0x3af55c0dfdf05d96 + .quad 0xdd262ee02ab4ee7a + .quad 0x11b2bb8712171709 + .quad 0x1fef24fa800f030b + + // 2^84 * 1 * G + + .quad 0xb496123a6b6c6609 + .quad 0xa750fe8580ab5938 + .quad 0xf471bf39b7c27a5f + .quad 0x507903ce77ac193c + .quad 0xff91a66a90166220 + .quad 0xf22552ae5bf1e009 + .quad 0x7dff85d87f90df7c + .quad 0x4f620ffe0c736fb9 + .quad 0x62f90d65dfde3e34 + .quad 0xcf28c592b9fa5fad + .quad 0x99c86ef9c6164510 + .quad 0x25d448044a256c84 + + // 2^84 * 2 * G + + .quad 0xbd68230ec7e9b16f + .quad 0x0eb1b9c1c1c5795d + .quad 0x7943c8c495b6b1ff + .quad 0x2f9faf620bbacf5e + .quad 0x2c7c4415c9022b55 + .quad 0x56a0d241812eb1fe + .quad 0xf02ea1c9d7b65e0d + .quad 0x4180512fd5323b26 + .quad 0xa4ff3e698a48a5db + .quad 0xba6a3806bd95403b + .quad 0x9f7ce1af47d5b65d + .quad 0x15e087e55939d2fb + + // 2^84 * 3 * G + + .quad 0x12207543745c1496 + .quad 0xdaff3cfdda38610c + .quad 0xe4e797272c71c34f + .quad 0x39c07b1934bdede9 + .quad 0x8894186efb963f38 + .quad 0x48a00e80dc639bd5 + .quad 0xa4e8092be96c1c99 + .quad 0x5a097d54ca573661 + .quad 0x2d45892b17c9e755 + .quad 0xd033fd7289308df8 + .quad 0x6c2fe9d9525b8bd9 + .quad 0x2edbecf1c11cc079 + + // 2^84 * 4 * G + + .quad 0x1616a4e3c715a0d2 + .quad 0x53623cb0f8341d4d + .quad 0x96ef5329c7e899cb + .quad 0x3d4e8dbba668baa6 + .quad 0xee0f0fddd087a25f + .quad 0x9c7531555c3e34ee + .quad 0x660c572e8fab3ab5 + .quad 0x0854fc44544cd3b2 + .quad 0x61eba0c555edad19 + .quad 0x24b533fef0a83de6 + .quad 0x3b77042883baa5f8 + .quad 0x678f82b898a47e8d + + // 2^84 * 5 * G + + .quad 0xb1491d0bd6900c54 + .quad 0x3539722c9d132636 + .quad 0x4db928920b362bc9 + .quad 0x4d7cd1fea68b69df + .quad 0x1e09d94057775696 + .quad 0xeed1265c3cd951db + .quad 0xfa9dac2b20bce16f + .quad 0x0f7f76e0e8d089f4 + .quad 0x36d9ebc5d485b00c + .quad 0xa2596492e4adb365 + .quad 0xc1659480c2119ccd + .quad 0x45306349186e0d5f + + // 2^84 * 6 * G + + .quad 0x94ddd0c1a6cdff1d + .quad 0x55f6f115e84213ae + .quad 0x6c935f85992fcf6a + .quad 0x067ee0f54a37f16f + .quad 0x96a414ec2b072491 + .quad 0x1bb2218127a7b65b + .quad 0x6d2849596e8a4af0 + .quad 0x65f3b08ccd27765f + .quad 0xecb29fff199801f7 + .quad 0x9d361d1fa2a0f72f + .quad 0x25f11d2375fd2f49 + .quad 0x124cefe80fe10fe2 + + // 2^84 * 7 * G + + .quad 0x4c126cf9d18df255 + .quad 0xc1d471e9147a63b6 + .quad 0x2c6d3c73f3c93b5f + .quad 0x6be3a6a2e3ff86a2 + .quad 0x1518e85b31b16489 + .quad 0x8faadcb7db710bfb + .quad 0x39b0bdf4a14ae239 + .quad 0x05f4cbea503d20c1 + .quad 0xce040e9ec04145bc + .quad 0xc71ff4e208f6834c + .quad 0xbd546e8dab8847a3 + .quad 0x64666aa0a4d2aba5 + + // 2^84 * 8 * G + + .quad 0x6841435a7c06d912 + .quad 0xca123c21bb3f830b + .quad 0xd4b37b27b1cbe278 + .quad 0x1d753b84c76f5046 + .quad 0xb0c53bf73337e94c + .quad 0x7cb5697e11e14f15 + .quad 0x4b84abac1930c750 + .quad 0x28dd4abfe0640468 + .quad 0x7dc0b64c44cb9f44 + .quad 0x18a3e1ace3925dbf + .quad 0x7a3034862d0457c4 + .quad 0x4c498bf78a0c892e + + // 2^88 * 1 * G + + .quad 0x37d653fb1aa73196 + .quad 0x0f9495303fd76418 + .quad 0xad200b09fb3a17b2 + .quad 0x544d49292fc8613e + .quad 0x22d2aff530976b86 + .quad 0x8d90b806c2d24604 + .quad 0xdca1896c4de5bae5 + .quad 0x28005fe6c8340c17 + .quad 0x6aefba9f34528688 + .quad 0x5c1bff9425107da1 + .quad 0xf75bbbcd66d94b36 + .quad 0x72e472930f316dfa + + // 2^88 * 2 * G + + .quad 0x2695208c9781084f + .quad 0xb1502a0b23450ee1 + .quad 0xfd9daea603efde02 + .quad 0x5a9d2e8c2733a34c + .quad 0x07f3f635d32a7627 + .quad 0x7aaa4d865f6566f0 + .quad 0x3c85e79728d04450 + .quad 0x1fee7f000fe06438 + .quad 0x765305da03dbf7e5 + .quad 0xa4daf2491434cdbd + .quad 0x7b4ad5cdd24a88ec + .quad 0x00f94051ee040543 + + // 2^88 * 3 * G + + .quad 0x8d356b23c3d330b2 + .quad 0xf21c8b9bb0471b06 + .quad 0xb36c316c6e42b83c + .quad 0x07d79c7e8beab10d + .quad 0xd7ef93bb07af9753 + .quad 0x583ed0cf3db766a7 + .quad 0xce6998bf6e0b1ec5 + .quad 0x47b7ffd25dd40452 + .quad 0x87fbfb9cbc08dd12 + .quad 0x8a066b3ae1eec29b + .quad 0x0d57242bdb1fc1bf + .quad 0x1c3520a35ea64bb6 + + // 2^88 * 4 * G + + .quad 0x80d253a6bccba34a + .quad 0x3e61c3a13838219b + .quad 0x90c3b6019882e396 + .quad 0x1c3d05775d0ee66f + .quad 0xcda86f40216bc059 + .quad 0x1fbb231d12bcd87e + .quad 0xb4956a9e17c70990 + .quad 0x38750c3b66d12e55 + .quad 0x692ef1409422e51a + .quad 0xcbc0c73c2b5df671 + .quad 0x21014fe7744ce029 + .quad 0x0621e2c7d330487c + + // 2^88 * 5 * G + + .quad 0xaf9860cc8259838d + .quad 0x90ea48c1c69f9adc + .quad 0x6526483765581e30 + .quad 0x0007d6097bd3a5bc + .quad 0xb7ae1796b0dbf0f3 + .quad 0x54dfafb9e17ce196 + .quad 0x25923071e9aaa3b4 + .quad 0x5d8e589ca1002e9d + .quad 0xc0bf1d950842a94b + .quad 0xb2d3c363588f2e3e + .quad 0x0a961438bb51e2ef + .quad 0x1583d7783c1cbf86 + + // 2^88 * 6 * G + + .quad 0xeceea2ef5da27ae1 + .quad 0x597c3a1455670174 + .quad 0xc9a62a126609167a + .quad 0x252a5f2e81ed8f70 + .quad 0x90034704cc9d28c7 + .quad 0x1d1b679ef72cc58f + .quad 0x16e12b5fbe5b8726 + .quad 0x4958064e83c5580a + .quad 0x0d2894265066e80d + .quad 0xfcc3f785307c8c6b + .quad 0x1b53da780c1112fd + .quad 0x079c170bd843b388 + + // 2^88 * 7 * G + + .quad 0x0506ece464fa6fff + .quad 0xbee3431e6205e523 + .quad 0x3579422451b8ea42 + .quad 0x6dec05e34ac9fb00 + .quad 0xcdd6cd50c0d5d056 + .quad 0x9af7686dbb03573b + .quad 0x3ca6723ff3c3ef48 + .quad 0x6768c0d7317b8acc + .quad 0x94b625e5f155c1b3 + .quad 0x417bf3a7997b7b91 + .quad 0xc22cbddc6d6b2600 + .quad 0x51445e14ddcd52f4 + + // 2^88 * 8 * G + + .quad 0x57502b4b3b144951 + .quad 0x8e67ff6b444bbcb3 + .quad 0xb8bd6927166385db + .quad 0x13186f31e39295c8 + .quad 0x893147ab2bbea455 + .quad 0x8c53a24f92079129 + .quad 0x4b49f948be30f7a7 + .quad 0x12e990086e4fd43d + .quad 0xf10c96b37fdfbb2e + .quad 0x9f9a935e121ceaf9 + .quad 0xdf1136c43a5b983f + .quad 0x77b2e3f05d3e99af + + // 2^92 * 1 * G + + .quad 0xfd0d75879cf12657 + .quad 0xe82fef94e53a0e29 + .quad 0xcc34a7f05bbb4be7 + .quad 0x0b251172a50c38a2 + .quad 0x9532f48fcc5cd29b + .quad 0x2ba851bea3ce3671 + .quad 0x32dacaa051122941 + .quad 0x478d99d9350004f2 + .quad 0x1d5ad94890bb02c0 + .quad 0x50e208b10ec25115 + .quad 0xa26a22894ef21702 + .quad 0x4dc923343b524805 + + // 2^92 * 2 * G + + .quad 0xe3828c400f8086b6 + .quad 0x3f77e6f7979f0dc8 + .quad 0x7ef6de304df42cb4 + .quad 0x5265797cb6abd784 + .quad 0x3ad3e3ebf36c4975 + .quad 0xd75d25a537862125 + .quad 0xe873943da025a516 + .quad 0x6bbc7cb4c411c847 + .quad 0x3c6f9cd1d4a50d56 + .quad 0xb6244077c6feab7e + .quad 0x6ff9bf483580972e + .quad 0x00375883b332acfb + + // 2^92 * 3 * G + + .quad 0x0001b2cd28cb0940 + .quad 0x63fb51a06f1c24c9 + .quad 0xb5ad8691dcd5ca31 + .quad 0x67238dbd8c450660 + .quad 0xc98bec856c75c99c + .quad 0xe44184c000e33cf4 + .quad 0x0a676b9bba907634 + .quad 0x669e2cb571f379d7 + .quad 0xcb116b73a49bd308 + .quad 0x025aad6b2392729e + .quad 0xb4793efa3f55d9b1 + .quad 0x72a1056140678bb9 + + // 2^92 * 4 * G + + .quad 0xa2b6812b1cc9249d + .quad 0x62866eee21211f58 + .quad 0x2cb5c5b85df10ece + .quad 0x03a6b259e263ae00 + .quad 0x0d8d2909e2e505b6 + .quad 0x98ca78abc0291230 + .quad 0x77ef5569a9b12327 + .quad 0x7c77897b81439b47 + .quad 0xf1c1b5e2de331cb5 + .quad 0x5a9f5d8e15fca420 + .quad 0x9fa438f17bd932b1 + .quad 0x2a381bf01c6146e7 + + // 2^92 * 5 * G + + .quad 0xac9b9879cfc811c1 + .quad 0x8b7d29813756e567 + .quad 0x50da4e607c70edfc + .quad 0x5dbca62f884400b6 + .quad 0xf7c0be32b534166f + .quad 0x27e6ca6419cf70d4 + .quad 0x934df7d7a957a759 + .quad 0x5701461dabdec2aa + .quad 0x2c6747402c915c25 + .quad 0x1bdcd1a80b0d340a + .quad 0x5e5601bd07b43f5f + .quad 0x2555b4e05539a242 + + // 2^92 * 6 * G + + .quad 0x6fc09f5266ddd216 + .quad 0xdce560a7c8e37048 + .quad 0xec65939da2df62fd + .quad 0x7a869ae7e52ed192 + .quad 0x78409b1d87e463d4 + .quad 0xad4da95acdfb639d + .quad 0xec28773755259b9c + .quad 0x69c806e9c31230ab + .quad 0x7b48f57414bb3f22 + .quad 0x68c7cee4aedccc88 + .quad 0xed2f936179ed80be + .quad 0x25d70b885f77bc4b + + // 2^92 * 7 * G + + .quad 0x4151c3d9762bf4de + .quad 0x083f435f2745d82b + .quad 0x29775a2e0d23ddd5 + .quad 0x138e3a6269a5db24 + .quad 0x98459d29bb1ae4d4 + .quad 0x56b9c4c739f954ec + .quad 0x832743f6c29b4b3e + .quad 0x21ea8e2798b6878a + .quad 0x87bef4b46a5a7b9c + .quad 0xd2299d1b5fc1d062 + .quad 0x82409818dd321648 + .quad 0x5c5abeb1e5a2e03d + + // 2^92 * 8 * G + + .quad 0x14722af4b73c2ddb + .quad 0xbc470c5f5a05060d + .quad 0x00943eac2581b02e + .quad 0x0e434b3b1f499c8f + .quad 0x02cde6de1306a233 + .quad 0x7b5a52a2116f8ec7 + .quad 0xe1c681f4c1163b5b + .quad 0x241d350660d32643 + .quad 0x6be4404d0ebc52c7 + .quad 0xae46233bb1a791f5 + .quad 0x2aec170ed25db42b + .quad 0x1d8dfd966645d694 + + // 2^96 * 1 * G + + .quad 0x296fa9c59c2ec4de + .quad 0xbc8b61bf4f84f3cb + .quad 0x1c7706d917a8f908 + .quad 0x63b795fc7ad3255d + .quad 0xd598639c12ddb0a4 + .quad 0xa5d19f30c024866b + .quad 0xd17c2f0358fce460 + .quad 0x07a195152e095e8a + .quad 0xa8368f02389e5fc8 + .quad 0x90433b02cf8de43b + .quad 0xafa1fd5dc5412643 + .quad 0x3e8fe83d032f0137 + + // 2^96 * 2 * G + + .quad 0x2f8b15b90570a294 + .quad 0x94f2427067084549 + .quad 0xde1c5ae161bbfd84 + .quad 0x75ba3b797fac4007 + .quad 0x08704c8de8efd13c + .quad 0xdfc51a8e33e03731 + .quad 0xa59d5da51260cde3 + .quad 0x22d60899a6258c86 + .quad 0x6239dbc070cdd196 + .quad 0x60fe8a8b6c7d8a9a + .quad 0xb38847bceb401260 + .quad 0x0904d07b87779e5e + + // 2^96 * 3 * G + + .quad 0xb4ce1fd4ddba919c + .quad 0xcf31db3ec74c8daa + .quad 0x2c63cc63ad86cc51 + .quad 0x43e2143fbc1dde07 + .quad 0xf4322d6648f940b9 + .quad 0x06952f0cbd2d0c39 + .quad 0x167697ada081f931 + .quad 0x6240aacebaf72a6c + .quad 0xf834749c5ba295a0 + .quad 0xd6947c5bca37d25a + .quad 0x66f13ba7e7c9316a + .quad 0x56bdaf238db40cac + + // 2^96 * 4 * G + + .quad 0x362ab9e3f53533eb + .quad 0x338568d56eb93d40 + .quad 0x9e0e14521d5a5572 + .quad 0x1d24a86d83741318 + .quad 0x1310d36cc19d3bb2 + .quad 0x062a6bb7622386b9 + .quad 0x7c9b8591d7a14f5c + .quad 0x03aa31507e1e5754 + .quad 0xf4ec7648ffd4ce1f + .quad 0xe045eaf054ac8c1c + .quad 0x88d225821d09357c + .quad 0x43b261dc9aeb4859 + + // 2^96 * 5 * G + + .quad 0xe55b1e1988bb79bb + .quad 0xa09ed07dc17a359d + .quad 0xb02c2ee2603dea33 + .quad 0x326055cf5b276bc2 + .quad 0x19513d8b6c951364 + .quad 0x94fe7126000bf47b + .quad 0x028d10ddd54f9567 + .quad 0x02b4d5e242940964 + .quad 0xb4a155cb28d18df2 + .quad 0xeacc4646186ce508 + .quad 0xc49cf4936c824389 + .quad 0x27a6c809ae5d3410 + + // 2^96 * 6 * G + + .quad 0x8ba6ebcd1f0db188 + .quad 0x37d3d73a675a5be8 + .quad 0xf22edfa315f5585a + .quad 0x2cb67174ff60a17e + .quad 0xcd2c270ac43d6954 + .quad 0xdd4a3e576a66cab2 + .quad 0x79fa592469d7036c + .quad 0x221503603d8c2599 + .quad 0x59eecdf9390be1d0 + .quad 0xa9422044728ce3f1 + .quad 0x82891c667a94f0f4 + .quad 0x7b1df4b73890f436 + + // 2^96 * 7 * G + + .quad 0xe492f2e0b3b2a224 + .quad 0x7c6c9e062b551160 + .quad 0x15eb8fe20d7f7b0e + .quad 0x61fcef2658fc5992 + .quad 0x5f2e221807f8f58c + .quad 0xe3555c9fd49409d4 + .quad 0xb2aaa88d1fb6a630 + .quad 0x68698245d352e03d + .quad 0xdbb15d852a18187a + .quad 0xf3e4aad386ddacd7 + .quad 0x44bae2810ff6c482 + .quad 0x46cf4c473daf01cf + + // 2^96 * 8 * G + + .quad 0x426525ed9ec4e5f9 + .quad 0x0e5eda0116903303 + .quad 0x72b1a7f2cbe5cadc + .quad 0x29387bcd14eb5f40 + .quad 0x213c6ea7f1498140 + .quad 0x7c1e7ef8392b4854 + .quad 0x2488c38c5629ceba + .quad 0x1065aae50d8cc5bb + .quad 0x1c2c4525df200d57 + .quad 0x5c3b2dd6bfca674a + .quad 0x0a07e7b1e1834030 + .quad 0x69a198e64f1ce716 + + // 2^100 * 1 * G + + .quad 0x7afcd613efa9d697 + .quad 0x0cc45aa41c067959 + .quad 0xa56fe104c1fada96 + .quad 0x3a73b70472e40365 + .quad 0x7b26e56b9e2d4734 + .quad 0xc4c7132b81c61675 + .quad 0xef5c9525ec9cde7f + .quad 0x39c80b16e71743ad + .quad 0x0f196e0d1b826c68 + .quad 0xf71ff0e24960e3db + .quad 0x6113167023b7436c + .quad 0x0cf0ea5877da7282 + + // 2^100 * 2 * G + + .quad 0x196c80a4ddd4ccbd + .quad 0x22e6f55d95f2dd9d + .quad 0xc75e33c740d6c71b + .quad 0x7bb51279cb3c042f + .quad 0xe332ced43ba6945a + .quad 0xde0b1361e881c05d + .quad 0x1ad40f095e67ed3b + .quad 0x5da8acdab8c63d5d + .quad 0xc4b6664a3a70159f + .quad 0x76194f0f0a904e14 + .quad 0xa5614c39a4096c13 + .quad 0x6cd0ff50979feced + + // 2^100 * 3 * G + + .quad 0xc0e067e78f4428ac + .quad 0x14835ab0a61135e3 + .quad 0xf21d14f338062935 + .quad 0x6390a4c8df04849c + .quad 0x7fecfabdb04ba18e + .quad 0xd0fc7bfc3bddbcf7 + .quad 0xa41d486e057a131c + .quad 0x641a4391f2223a61 + .quad 0xc5c6b95aa606a8db + .quad 0x914b7f9eb06825f1 + .quad 0x2a731f6b44fc9eff + .quad 0x30ddf38562705cfc + + // 2^100 * 4 * G + + .quad 0x4e3dcbdad1bff7f9 + .quad 0xc9118e8220645717 + .quad 0xbacccebc0f189d56 + .quad 0x1b4822e9d4467668 + .quad 0x33bef2bd68bcd52c + .quad 0xc649dbb069482ef2 + .quad 0xb5b6ee0c41cb1aee + .quad 0x5c294d270212a7e5 + .quad 0xab360a7f25563781 + .quad 0x2512228a480f7958 + .quad 0xc75d05276114b4e3 + .quad 0x222d9625d976fe2a + + // 2^100 * 5 * G + + .quad 0x1c717f85b372ace1 + .quad 0x81930e694638bf18 + .quad 0x239cad056bc08b58 + .quad 0x0b34271c87f8fff4 + .quad 0x0f94be7e0a344f85 + .quad 0xeb2faa8c87f22c38 + .quad 0x9ce1e75e4ee16f0f + .quad 0x43e64e5418a08dea + .quad 0x8155e2521a35ce63 + .quad 0xbe100d4df912028e + .quad 0xbff80bf8a57ddcec + .quad 0x57342dc96d6bc6e4 + + // 2^100 * 6 * G + + .quad 0xefeef065c8ce5998 + .quad 0xbf029510b5cbeaa2 + .quad 0x8c64a10620b7c458 + .quad 0x35134fb231c24855 + .quad 0xf3c3bcb71e707bf6 + .quad 0x351d9b8c7291a762 + .quad 0x00502e6edad69a33 + .quad 0x522f521f1ec8807f + .quad 0x272c1f46f9a3902b + .quad 0xc91ba3b799657bcc + .quad 0xae614b304f8a1c0e + .quad 0x7afcaad70b99017b + + // 2^100 * 7 * G + + .quad 0xc25ded54a4b8be41 + .quad 0x902d13e11bb0e2dd + .quad 0x41f43233cde82ab2 + .quad 0x1085faa5c3aae7cb + .quad 0xa88141ecef842b6b + .quad 0x55e7b14797abe6c5 + .quad 0x8c748f9703784ffe + .quad 0x5b50a1f7afcd00b7 + .quad 0x9b840f66f1361315 + .quad 0x18462242701003e9 + .quad 0x65ed45fae4a25080 + .quad 0x0a2862393fda7320 + + // 2^100 * 8 * G + + .quad 0x46ab13c8347cbc9d + .quad 0x3849e8d499c12383 + .quad 0x4cea314087d64ac9 + .quad 0x1f354134b1a29ee7 + .quad 0x960e737b6ecb9d17 + .quad 0xfaf24948d67ceae1 + .quad 0x37e7a9b4d55e1b89 + .quad 0x5cb7173cb46c59eb + .quad 0x4a89e68b82b7abf0 + .quad 0xf41cd9279ba6b7b9 + .quad 0x16e6c210e18d876f + .quad 0x7cacdb0f7f1b09c6 + + // 2^104 * 1 * G + + .quad 0x9062b2e0d91a78bc + .quad 0x47c9889cc8509667 + .quad 0x9df54a66405070b8 + .quad 0x7369e6a92493a1bf + .quad 0xe1014434dcc5caed + .quad 0x47ed5d963c84fb33 + .quad 0x70019576ed86a0e7 + .quad 0x25b2697bd267f9e4 + .quad 0x9d673ffb13986864 + .quad 0x3ca5fbd9415dc7b8 + .quad 0xe04ecc3bdf273b5e + .quad 0x1420683db54e4cd2 + + // 2^104 * 2 * G + + .quad 0xb478bd1e249dd197 + .quad 0x620c35005e58c102 + .quad 0xfb02d32fccbaac5c + .quad 0x60b63bebf508a72d + .quad 0x34eebb6fc1cc5ad0 + .quad 0x6a1b0ce99646ac8b + .quad 0xd3b0da49a66bde53 + .quad 0x31e83b4161d081c1 + .quad 0x97e8c7129e062b4f + .quad 0x49e48f4f29320ad8 + .quad 0x5bece14b6f18683f + .quad 0x55cf1eb62d550317 + + // 2^104 * 3 * G + + .quad 0x5879101065c23d58 + .quad 0x8b9d086d5094819c + .quad 0xe2402fa912c55fa7 + .quad 0x669a6564570891d4 + .quad 0x3076b5e37df58c52 + .quad 0xd73ab9dde799cc36 + .quad 0xbd831ce34913ee20 + .quad 0x1a56fbaa62ba0133 + .quad 0x943e6b505c9dc9ec + .quad 0x302557bba77c371a + .quad 0x9873ae5641347651 + .quad 0x13c4836799c58a5c + + // 2^104 * 4 * G + + .quad 0x423a5d465ab3e1b9 + .quad 0xfc13c187c7f13f61 + .quad 0x19f83664ecb5b9b6 + .quad 0x66f80c93a637b607 + .quad 0xc4dcfb6a5d8bd080 + .quad 0xdeebc4ec571a4842 + .quad 0xd4b2e883b8e55365 + .quad 0x50bdc87dc8e5b827 + .quad 0x606d37836edfe111 + .quad 0x32353e15f011abd9 + .quad 0x64b03ac325b73b96 + .quad 0x1dd56444725fd5ae + + // 2^104 * 5 * G + + .quad 0x8fa47ff83362127d + .quad 0xbc9f6ac471cd7c15 + .quad 0x6e71454349220c8b + .quad 0x0e645912219f732e + .quad 0xc297e60008bac89a + .quad 0x7d4cea11eae1c3e0 + .quad 0xf3e38be19fe7977c + .quad 0x3a3a450f63a305cd + .quad 0x078f2f31d8394627 + .quad 0x389d3183de94a510 + .quad 0xd1e36c6d17996f80 + .quad 0x318c8d9393a9a87b + + // 2^104 * 6 * G + + .quad 0xf2745d032afffe19 + .quad 0x0c9f3c497f24db66 + .quad 0xbc98d3e3ba8598ef + .quad 0x224c7c679a1d5314 + .quad 0x5d669e29ab1dd398 + .quad 0xfc921658342d9e3b + .quad 0x55851dfdf35973cd + .quad 0x509a41c325950af6 + .quad 0xbdc06edca6f925e9 + .quad 0x793ef3f4641b1f33 + .quad 0x82ec12809d833e89 + .quad 0x05bff02328a11389 + + // 2^104 * 7 * G + + .quad 0x3632137023cae00b + .quad 0x544acf0ad1accf59 + .quad 0x96741049d21a1c88 + .quad 0x780b8cc3fa2a44a7 + .quad 0x6881a0dd0dc512e4 + .quad 0x4fe70dc844a5fafe + .quad 0x1f748e6b8f4a5240 + .quad 0x576277cdee01a3ea + .quad 0x1ef38abc234f305f + .quad 0x9a577fbd1405de08 + .quad 0x5e82a51434e62a0d + .quad 0x5ff418726271b7a1 + + // 2^104 * 8 * G + + .quad 0x398e080c1789db9d + .quad 0xa7602025f3e778f5 + .quad 0xfa98894c06bd035d + .quad 0x106a03dc25a966be + .quad 0xe5db47e813b69540 + .quad 0xf35d2a3b432610e1 + .quad 0xac1f26e938781276 + .quad 0x29d4db8ca0a0cb69 + .quad 0xd9ad0aaf333353d0 + .quad 0x38669da5acd309e5 + .quad 0x3c57658ac888f7f0 + .quad 0x4ab38a51052cbefa + + // 2^108 * 1 * G + + .quad 0xdfdacbee4324c0e9 + .quad 0x054442883f955bb7 + .quad 0xdef7aaa8ea31609f + .quad 0x68aee70642287cff + .quad 0xf68fe2e8809de054 + .quad 0xe3bc096a9c82bad1 + .quad 0x076353d40aadbf45 + .quad 0x7b9b1fb5dea1959e + .quad 0xf01cc8f17471cc0c + .quad 0x95242e37579082bb + .quad 0x27776093d3e46b5f + .quad 0x2d13d55a28bd85fb + + // 2^108 * 2 * G + + .quad 0xfac5d2065b35b8da + .quad 0xa8da8a9a85624bb7 + .quad 0xccd2ca913d21cd0f + .quad 0x6b8341ee8bf90d58 + .quad 0xbf019cce7aee7a52 + .quad 0xa8ded2b6e454ead3 + .quad 0x3c619f0b87a8bb19 + .quad 0x3619b5d7560916d8 + .quad 0x3579f26b0282c4b2 + .quad 0x64d592f24fafefae + .quad 0xb7cded7b28c8c7c0 + .quad 0x6a927b6b7173a8d7 + + // 2^108 * 3 * G + + .quad 0x1f6db24f986e4656 + .quad 0x1021c02ed1e9105b + .quad 0xf8ff3fff2cc0a375 + .quad 0x1d2a6bf8c6c82592 + .quad 0x8d7040863ece88eb + .quad 0xf0e307a980eec08c + .quad 0xac2250610d788fda + .quad 0x056d92a43a0d478d + .quad 0x1b05a196fc3da5a1 + .quad 0x77d7a8c243b59ed0 + .quad 0x06da3d6297d17918 + .quad 0x66fbb494f12353f7 + + // 2^108 * 4 * G + + .quad 0x751a50b9d85c0fb8 + .quad 0xd1afdc258bcf097b + .quad 0x2f16a6a38309a969 + .quad 0x14ddff9ee5b00659 + .quad 0xd6d70996f12309d6 + .quad 0xdbfb2385e9c3d539 + .quad 0x46d602b0f7552411 + .quad 0x270a0b0557843e0c + .quad 0x61ff0640a7862bcc + .quad 0x81cac09a5f11abfe + .quad 0x9047830455d12abb + .quad 0x19a4bde1945ae873 + + // 2^108 * 5 * G + + .quad 0x9b9f26f520a6200a + .quad 0x64804443cf13eaf8 + .quad 0x8a63673f8631edd3 + .quad 0x72bbbce11ed39dc1 + .quad 0x40c709dec076c49f + .quad 0x657bfaf27f3e53f6 + .quad 0x40662331eca042c4 + .quad 0x14b375487eb4df04 + .quad 0xae853c94ab66dc47 + .quad 0xeb62343edf762d6e + .quad 0xf08e0e186fb2f7d1 + .quad 0x4f0b1c02700ab37a + + // 2^108 * 6 * G + + .quad 0xe1706787d81951fa + .quad 0xa10a2c8eb290c77b + .quad 0xe7382fa03ed66773 + .quad 0x0a4d84710bcc4b54 + .quad 0x79fd21ccc1b2e23f + .quad 0x4ae7c281453df52a + .quad 0xc8172ec9d151486b + .quad 0x68abe9443e0a7534 + .quad 0xda12c6c407831dcb + .quad 0x0da230d74d5c510d + .quad 0x4ab1531e6bd404e1 + .quad 0x4106b166bcf440ef + + // 2^108 * 7 * G + + .quad 0x02e57a421cd23668 + .quad 0x4ad9fb5d0eaef6fd + .quad 0x954e6727b1244480 + .quad 0x7f792f9d2699f331 + .quad 0xa485ccd539e4ecf2 + .quad 0x5aa3f3ad0555bab5 + .quad 0x145e3439937df82d + .quad 0x1238b51e1214283f + .quad 0x0b886b925fd4d924 + .quad 0x60906f7a3626a80d + .quad 0xecd367b4b98abd12 + .quad 0x2876beb1def344cf + + // 2^108 * 8 * G + + .quad 0xdc84e93563144691 + .quad 0x632fe8a0d61f23f4 + .quad 0x4caa800612a9a8d5 + .quad 0x48f9dbfa0e9918d3 + .quad 0xd594b3333a8a85f8 + .quad 0x4ea37689e78d7d58 + .quad 0x73bf9f455e8e351f + .quad 0x5507d7d2bc41ebb4 + .quad 0x1ceb2903299572fc + .quad 0x7c8ccaa29502d0ee + .quad 0x91bfa43411cce67b + .quad 0x5784481964a831e7 + + // 2^112 * 1 * G + + .quad 0xda7c2b256768d593 + .quad 0x98c1c0574422ca13 + .quad 0xf1a80bd5ca0ace1d + .quad 0x29cdd1adc088a690 + .quad 0xd6cfd1ef5fddc09c + .quad 0xe82b3efdf7575dce + .quad 0x25d56b5d201634c2 + .quad 0x3041c6bb04ed2b9b + .quad 0x0ff2f2f9d956e148 + .quad 0xade797759f356b2e + .quad 0x1a4698bb5f6c025c + .quad 0x104bbd6814049a7b + + // 2^112 * 2 * G + + .quad 0x51f0fd3168f1ed67 + .quad 0x2c811dcdd86f3bc2 + .quad 0x44dc5c4304d2f2de + .quad 0x5be8cc57092a7149 + .quad 0xa95d9a5fd67ff163 + .quad 0xe92be69d4cc75681 + .quad 0xb7f8024cde20f257 + .quad 0x204f2a20fb072df5 + .quad 0xc8143b3d30ebb079 + .quad 0x7589155abd652e30 + .quad 0x653c3c318f6d5c31 + .quad 0x2570fb17c279161f + + // 2^112 * 3 * G + + .quad 0x3efa367f2cb61575 + .quad 0xf5f96f761cd6026c + .quad 0xe8c7142a65b52562 + .quad 0x3dcb65ea53030acd + .quad 0x192ea9550bb8245a + .quad 0xc8e6fba88f9050d1 + .quad 0x7986ea2d88a4c935 + .quad 0x241c5f91de018668 + .quad 0x28d8172940de6caa + .quad 0x8fbf2cf022d9733a + .quad 0x16d7fcdd235b01d1 + .quad 0x08420edd5fcdf0e5 + + // 2^112 * 4 * G + + .quad 0xcdff20ab8362fa4a + .quad 0x57e118d4e21a3e6e + .quad 0xe3179617fc39e62b + .quad 0x0d9a53efbc1769fd + .quad 0x0358c34e04f410ce + .quad 0xb6135b5a276e0685 + .quad 0x5d9670c7ebb91521 + .quad 0x04d654f321db889c + .quad 0x5e7dc116ddbdb5d5 + .quad 0x2954deb68da5dd2d + .quad 0x1cb608173334a292 + .quad 0x4a7a4f2618991ad7 + + // 2^112 * 5 * G + + .quad 0xf4a718025fb15f95 + .quad 0x3df65f346b5c1b8f + .quad 0xcdfcf08500e01112 + .quad 0x11b50c4cddd31848 + .quad 0x24c3b291af372a4b + .quad 0x93da8270718147f2 + .quad 0xdd84856486899ef2 + .quad 0x4a96314223e0ee33 + .quad 0xa6e8274408a4ffd6 + .quad 0x738e177e9c1576d9 + .quad 0x773348b63d02b3f2 + .quad 0x4f4bce4dce6bcc51 + + // 2^112 * 6 * G + + .quad 0xa71fce5ae2242584 + .quad 0x26ea725692f58a9e + .quad 0xd21a09d71cea3cf4 + .quad 0x73fcdd14b71c01e6 + .quad 0x30e2616ec49d0b6f + .quad 0xe456718fcaec2317 + .quad 0x48eb409bf26b4fa6 + .quad 0x3042cee561595f37 + .quad 0x427e7079449bac41 + .quad 0x855ae36dbce2310a + .quad 0x4cae76215f841a7c + .quad 0x389e740c9a9ce1d6 + + // 2^112 * 7 * G + + .quad 0x64fcb3ae34dcb9ce + .quad 0x97500323e348d0ad + .quad 0x45b3f07d62c6381b + .quad 0x61545379465a6788 + .quad 0xc9bd78f6570eac28 + .quad 0xe55b0b3227919ce1 + .quad 0x65fc3eaba19b91ed + .quad 0x25c425e5d6263690 + .quad 0x3f3e06a6f1d7de6e + .quad 0x3ef976278e062308 + .quad 0x8c14f6264e8a6c77 + .quad 0x6539a08915484759 + + // 2^112 * 8 * G + + .quad 0xe9d21f74c3d2f773 + .quad 0xc150544125c46845 + .quad 0x624e5ce8f9b99e33 + .quad 0x11c5e4aac5cd186c + .quad 0xddc4dbd414bb4a19 + .quad 0x19b2bc3c98424f8e + .quad 0x48a89fd736ca7169 + .quad 0x0f65320ef019bd90 + .quad 0xd486d1b1cafde0c6 + .quad 0x4f3fe6e3163b5181 + .quad 0x59a8af0dfaf2939a + .quad 0x4cabc7bdec33072a + + // 2^116 * 1 * G + + .quad 0x16faa8fb532f7428 + .quad 0xdbd42ea046a4e272 + .quad 0x5337653b8b9ea480 + .quad 0x4065947223973f03 + .quad 0xf7c0a19c1a54a044 + .quad 0x4a1c5e2477bd9fbb + .quad 0xa6e3ca115af22972 + .quad 0x1819bb953f2e9e0d + .quad 0x498fbb795e042e84 + .quad 0x7d0dd89a7698b714 + .quad 0x8bfb0ba427fe6295 + .quad 0x36ba82e721200524 + + // 2^116 * 2 * G + + .quad 0xd60ecbb74245ec41 + .quad 0xfd9be89e34348716 + .quad 0xc9240afee42284de + .quad 0x4472f648d0531db4 + .quad 0xc8d69d0a57274ed5 + .quad 0x45ba803260804b17 + .quad 0xdf3cda102255dfac + .quad 0x77d221232709b339 + .quad 0x498a6d7064ad94d8 + .quad 0xa5b5c8fd9af62263 + .quad 0x8ca8ed0545c141f4 + .quad 0x2c63bec3662d358c + + // 2^116 * 3 * G + + .quad 0x7fe60d8bea787955 + .quad 0xb9dc117eb5f401b7 + .quad 0x91c7c09a19355cce + .quad 0x22692ef59442bedf + .quad 0x9a518b3a8586f8bf + .quad 0x9ee71af6cbb196f0 + .quad 0xaa0625e6a2385cf2 + .quad 0x1deb2176ddd7c8d1 + .quad 0x8563d19a2066cf6c + .quad 0x401bfd8c4dcc7cd7 + .quad 0xd976a6becd0d8f62 + .quad 0x67cfd773a278b05e + + // 2^116 * 4 * G + + .quad 0x8dec31faef3ee475 + .quad 0x99dbff8a9e22fd92 + .quad 0x512d11594e26cab1 + .quad 0x0cde561eec4310b9 + .quad 0x2d5fa9855a4e586a + .quad 0x65f8f7a449beab7e + .quad 0xaa074dddf21d33d3 + .quad 0x185cba721bcb9dee + .quad 0x93869da3f4e3cb41 + .quad 0xbf0392f540f7977e + .quad 0x026204fcd0463b83 + .quad 0x3ec91a769eec6eed + + // 2^116 * 5 * G + + .quad 0x1e9df75bf78166ad + .quad 0x4dfda838eb0cd7af + .quad 0xba002ed8c1eaf988 + .quad 0x13fedb3e11f33cfc + .quad 0x0fad2fb7b0a3402f + .quad 0x46615ecbfb69f4a8 + .quad 0xf745bcc8c5f8eaa6 + .quad 0x7a5fa8794a94e896 + .quad 0x52958faa13cd67a1 + .quad 0x965ee0818bdbb517 + .quad 0x16e58daa2e8845b3 + .quad 0x357d397d5499da8f + + // 2^116 * 6 * G + + .quad 0x1ebfa05fb0bace6c + .quad 0xc934620c1caf9a1e + .quad 0xcc771cc41d82b61a + .quad 0x2d94a16aa5f74fec + .quad 0x481dacb4194bfbf8 + .quad 0x4d77e3f1bae58299 + .quad 0x1ef4612e7d1372a0 + .quad 0x3a8d867e70ff69e1 + .quad 0x6f58cd5d55aff958 + .quad 0xba3eaa5c75567721 + .quad 0x75c123999165227d + .quad 0x69be1343c2f2b35e + + // 2^116 * 7 * G + + .quad 0x0e091d5ee197c92a + .quad 0x4f51019f2945119f + .quad 0x143679b9f034e99c + .quad 0x7d88112e4d24c696 + .quad 0x82bbbdac684b8de3 + .quad 0xa2f4c7d03fca0718 + .quad 0x337f92fbe096aaa8 + .quad 0x200d4d8c63587376 + .quad 0x208aed4b4893b32b + .quad 0x3efbf23ebe59b964 + .quad 0xd762deb0dba5e507 + .quad 0x69607bd681bd9d94 + + // 2^116 * 8 * G + + .quad 0xf6be021068de1ce1 + .quad 0xe8d518e70edcbc1f + .quad 0xe3effdd01b5505a5 + .quad 0x35f63353d3ec3fd0 + .quad 0x3b7f3bd49323a902 + .quad 0x7c21b5566b2c6e53 + .quad 0xe5ba8ff53a7852a7 + .quad 0x28bc77a5838ece00 + .quad 0x63ba78a8e25d8036 + .quad 0x63651e0094333490 + .quad 0x48d82f20288ce532 + .quad 0x3a31abfa36b57524 + + // 2^120 * 1 * G + + .quad 0x239e9624089c0a2e + .quad 0xc748c4c03afe4738 + .quad 0x17dbed2a764fa12a + .quad 0x639b93f0321c8582 + .quad 0xc08f788f3f78d289 + .quad 0xfe30a72ca1404d9f + .quad 0xf2778bfccf65cc9d + .quad 0x7ee498165acb2021 + .quad 0x7bd508e39111a1c3 + .quad 0x2b2b90d480907489 + .quad 0xe7d2aec2ae72fd19 + .quad 0x0edf493c85b602a6 + + // 2^120 * 2 * G + + .quad 0xaecc8158599b5a68 + .quad 0xea574f0febade20e + .quad 0x4fe41d7422b67f07 + .quad 0x403b92e3019d4fb4 + .quad 0x6767c4d284764113 + .quad 0xa090403ff7f5f835 + .quad 0x1c8fcffacae6bede + .quad 0x04c00c54d1dfa369 + .quad 0x4dc22f818b465cf8 + .quad 0x71a0f35a1480eff8 + .quad 0xaee8bfad04c7d657 + .quad 0x355bb12ab26176f4 + + // 2^120 * 3 * G + + .quad 0xa71e64cc7493bbf4 + .quad 0xe5bd84d9eca3b0c3 + .quad 0x0a6bc50cfa05e785 + .quad 0x0f9b8132182ec312 + .quad 0xa301dac75a8c7318 + .quad 0xed90039db3ceaa11 + .quad 0x6f077cbf3bae3f2d + .quad 0x7518eaf8e052ad8e + .quad 0xa48859c41b7f6c32 + .quad 0x0f2d60bcf4383298 + .quad 0x1815a929c9b1d1d9 + .quad 0x47c3871bbb1755c4 + + // 2^120 * 4 * G + + .quad 0x5144539771ec4f48 + .quad 0xf805b17dc98c5d6e + .quad 0xf762c11a47c3c66b + .quad 0x00b89b85764699dc + .quad 0xfbe65d50c85066b0 + .quad 0x62ecc4b0b3a299b0 + .quad 0xe53754ea441ae8e0 + .quad 0x08fea02ce8d48d5f + .quad 0x824ddd7668deead0 + .quad 0xc86445204b685d23 + .quad 0xb514cfcd5d89d665 + .quad 0x473829a74f75d537 + + // 2^120 * 5 * G + + .quad 0x82d2da754679c418 + .quad 0xe63bd7d8b2618df0 + .quad 0x355eef24ac47eb0a + .quad 0x2078684c4833c6b4 + .quad 0x23d9533aad3902c9 + .quad 0x64c2ddceef03588f + .quad 0x15257390cfe12fb4 + .quad 0x6c668b4d44e4d390 + .quad 0x3b48cf217a78820c + .quad 0xf76a0ab281273e97 + .quad 0xa96c65a78c8eed7b + .quad 0x7411a6054f8a433f + + // 2^120 * 6 * G + + .quad 0x4d659d32b99dc86d + .quad 0x044cdc75603af115 + .quad 0xb34c712cdcc2e488 + .quad 0x7c136574fb8134ff + .quad 0x579ae53d18b175b4 + .quad 0x68713159f392a102 + .quad 0x8455ecba1eef35f5 + .quad 0x1ec9a872458c398f + .quad 0xb8e6a4d400a2509b + .quad 0x9b81d7020bc882b4 + .quad 0x57e7cc9bf1957561 + .quad 0x3add88a5c7cd6460 + + // 2^120 * 7 * G + + .quad 0xab895770b635dcf2 + .quad 0x02dfef6cf66c1fbc + .quad 0x85530268beb6d187 + .quad 0x249929fccc879e74 + .quad 0x85c298d459393046 + .quad 0x8f7e35985ff659ec + .quad 0x1d2ca22af2f66e3a + .quad 0x61ba1131a406a720 + .quad 0xa3d0a0f116959029 + .quad 0x023b6b6cba7ebd89 + .quad 0x7bf15a3e26783307 + .quad 0x5620310cbbd8ece7 + + // 2^120 * 8 * G + + .quad 0x528993434934d643 + .quad 0xb9dbf806a51222f5 + .quad 0x8f6d878fc3f41c22 + .quad 0x37676a2a4d9d9730 + .quad 0x6646b5f477e285d6 + .quad 0x40e8ff676c8f6193 + .quad 0xa6ec7311abb594dd + .quad 0x7ec846f3658cec4d + .quad 0x9b5e8f3f1da22ec7 + .quad 0x130f1d776c01cd13 + .quad 0x214c8fcfa2989fb8 + .quad 0x6daaf723399b9dd5 + + // 2^124 * 1 * G + + .quad 0x591e4a5610628564 + .quad 0x2a4bb87ca8b4df34 + .quad 0xde2a2572e7a38e43 + .quad 0x3cbdabd9fee5046e + .quad 0x81aebbdd2cd13070 + .quad 0x962e4325f85a0e9e + .quad 0xde9391aacadffecb + .quad 0x53177fda52c230e6 + .quad 0xa7bc970650b9de79 + .quad 0x3d12a7fbc301b59b + .quad 0x02652e68d36ae38c + .quad 0x79d739835a6199dc + + // 2^124 * 2 * G + + .quad 0xd9354df64131c1bd + .quad 0x758094a186ec5822 + .quad 0x4464ee12e459f3c2 + .quad 0x6c11fce4cb133282 + .quad 0x21c9d9920d591737 + .quad 0x9bea41d2e9b46cd6 + .quad 0xe20e84200d89bfca + .quad 0x79d99f946eae5ff8 + .quad 0xf17b483568673205 + .quad 0x387deae83caad96c + .quad 0x61b471fd56ffe386 + .quad 0x31741195b745a599 + + // 2^124 * 3 * G + + .quad 0xe8d10190b77a360b + .quad 0x99b983209995e702 + .quad 0xbd4fdff8fa0247aa + .quad 0x2772e344e0d36a87 + .quad 0x17f8ba683b02a047 + .quad 0x50212096feefb6c8 + .quad 0x70139be21556cbe2 + .quad 0x203e44a11d98915b + .quad 0xd6863eba37b9e39f + .quad 0x105bc169723b5a23 + .quad 0x104f6459a65c0762 + .quad 0x567951295b4d38d4 + + // 2^124 * 4 * G + + .quad 0x535fd60613037524 + .quad 0xe210adf6b0fbc26a + .quad 0xac8d0a9b23e990ae + .quad 0x47204d08d72fdbf9 + .quad 0x07242eb30d4b497f + .quad 0x1ef96306b9bccc87 + .quad 0x37950934d8116f45 + .quad 0x05468d6201405b04 + .quad 0x00f565a9f93267de + .quad 0xcecfd78dc0d58e8a + .quad 0xa215e2dcf318e28e + .quad 0x4599ee919b633352 + + // 2^124 * 5 * G + + .quad 0xd3c220ca70e0e76b + .quad 0xb12bea58ea9f3094 + .quad 0x294ddec8c3271282 + .quad 0x0c3539e1a1d1d028 + .quad 0xac746d6b861ae579 + .quad 0x31ab0650f6aea9dc + .quad 0x241d661140256d4c + .quad 0x2f485e853d21a5de + .quad 0x329744839c0833f3 + .quad 0x6fe6257fd2abc484 + .quad 0x5327d1814b358817 + .quad 0x65712585893fe9bc + + // 2^124 * 6 * G + + .quad 0x9c102fb732a61161 + .quad 0xe48e10dd34d520a8 + .quad 0x365c63546f9a9176 + .quad 0x32f6fe4c046f6006 + .quad 0x81c29f1bd708ee3f + .quad 0xddcb5a05ae6407d0 + .quad 0x97aec1d7d2a3eba7 + .quad 0x1590521a91d50831 + .quad 0x40a3a11ec7910acc + .quad 0x9013dff8f16d27ae + .quad 0x1a9720d8abb195d4 + .quad 0x1bb9fe452ea98463 + + // 2^124 * 7 * G + + .quad 0xe9d1d950b3d54f9e + .quad 0x2d5f9cbee00d33c1 + .quad 0x51c2c656a04fc6ac + .quad 0x65c091ee3c1cbcc9 + .quad 0xcf5e6c95cc36747c + .quad 0x294201536b0bc30d + .quad 0x453ac67cee797af0 + .quad 0x5eae6ab32a8bb3c9 + .quad 0x7083661114f118ea + .quad 0x2b37b87b94349cad + .quad 0x7273f51cb4e99f40 + .quad 0x78a2a95823d75698 + + // 2^124 * 8 * G + + .quad 0xa2b072e95c8c2ace + .quad 0x69cffc96651e9c4b + .quad 0x44328ef842e7b42b + .quad 0x5dd996c122aadeb3 + .quad 0xb4f23c425ef83207 + .quad 0xabf894d3c9a934b5 + .quad 0xd0708c1339fd87f7 + .quad 0x1876789117166130 + .quad 0x925b5ef0670c507c + .quad 0x819bc842b93c33bf + .quad 0x10792e9a70dd003f + .quad 0x59ad4b7a6e28dc74 + + // 2^128 * 1 * G + + .quad 0x5f3a7562eb3dbe47 + .quad 0xf7ea38548ebda0b8 + .quad 0x00c3e53145747299 + .quad 0x1304e9e71627d551 + .quad 0x583b04bfacad8ea2 + .quad 0x29b743e8148be884 + .quad 0x2b1e583b0810c5db + .quad 0x2b5449e58eb3bbaa + .quad 0x789814d26adc9cfe + .quad 0x3c1bab3f8b48dd0b + .quad 0xda0fe1fff979c60a + .quad 0x4468de2d7c2dd693 + + // 2^128 * 2 * G + + .quad 0x51bb355e9419469e + .quad 0x33e6dc4c23ddc754 + .quad 0x93a5b6d6447f9962 + .quad 0x6cce7c6ffb44bd63 + .quad 0x4b9ad8c6f86307ce + .quad 0x21113531435d0c28 + .quad 0xd4a866c5657a772c + .quad 0x5da6427e63247352 + .quad 0x1a94c688deac22ca + .quad 0xb9066ef7bbae1ff8 + .quad 0x88ad8c388d59580f + .quad 0x58f29abfe79f2ca8 + + // 2^128 * 3 * G + + .quad 0xe90ecfab8de73e68 + .quad 0x54036f9f377e76a5 + .quad 0xf0495b0bbe015982 + .quad 0x577629c4a7f41e36 + .quad 0x4b5a64bf710ecdf6 + .quad 0xb14ce538462c293c + .quad 0x3643d056d50b3ab9 + .quad 0x6af93724185b4870 + .quad 0x3220024509c6a888 + .quad 0xd2e036134b558973 + .quad 0x83e236233c33289f + .quad 0x701f25bb0caec18f + + // 2^128 * 4 * G + + .quad 0xc3a8b0f8e4616ced + .quad 0xf700660e9e25a87d + .quad 0x61e3061ff4bca59c + .quad 0x2e0c92bfbdc40be9 + .quad 0x9d18f6d97cbec113 + .quad 0x844a06e674bfdbe4 + .quad 0x20f5b522ac4e60d6 + .quad 0x720a5bc050955e51 + .quad 0x0c3f09439b805a35 + .quad 0xe84e8b376242abfc + .quad 0x691417f35c229346 + .quad 0x0e9b9cbb144ef0ec + + // 2^128 * 5 * G + + .quad 0xfbbad48ffb5720ad + .quad 0xee81916bdbf90d0e + .quad 0xd4813152635543bf + .quad 0x221104eb3f337bd8 + .quad 0x8dee9bd55db1beee + .quad 0xc9c3ab370a723fb9 + .quad 0x44a8f1bf1c68d791 + .quad 0x366d44191cfd3cde + .quad 0x9e3c1743f2bc8c14 + .quad 0x2eda26fcb5856c3b + .quad 0xccb82f0e68a7fb97 + .quad 0x4167a4e6bc593244 + + // 2^128 * 6 * G + + .quad 0x643b9d2876f62700 + .quad 0x5d1d9d400e7668eb + .quad 0x1b4b430321fc0684 + .quad 0x7938bb7e2255246a + .quad 0xc2be2665f8ce8fee + .quad 0xe967ff14e880d62c + .quad 0xf12e6e7e2f364eee + .quad 0x34b33370cb7ed2f6 + .quad 0xcdc591ee8681d6cc + .quad 0xce02109ced85a753 + .quad 0xed7485c158808883 + .quad 0x1176fc6e2dfe65e4 + + // 2^128 * 7 * G + + .quad 0xb4af6cd05b9c619b + .quad 0x2ddfc9f4b2a58480 + .quad 0x3d4fa502ebe94dc4 + .quad 0x08fc3a4c677d5f34 + .quad 0xdb90e28949770eb8 + .quad 0x98fbcc2aacf440a3 + .quad 0x21354ffeded7879b + .quad 0x1f6a3e54f26906b6 + .quad 0x60a4c199d30734ea + .quad 0x40c085b631165cd6 + .quad 0xe2333e23f7598295 + .quad 0x4f2fad0116b900d1 + + // 2^128 * 8 * G + + .quad 0x44beb24194ae4e54 + .quad 0x5f541c511857ef6c + .quad 0xa61e6b2d368d0498 + .quad 0x445484a4972ef7ab + .quad 0x962cd91db73bb638 + .quad 0xe60577aafc129c08 + .quad 0x6f619b39f3b61689 + .quad 0x3451995f2944ee81 + .quad 0x9152fcd09fea7d7c + .quad 0x4a816c94b0935cf6 + .quad 0x258e9aaa47285c40 + .quad 0x10b89ca6042893b7 + + // 2^132 * 1 * G + + .quad 0x9b2a426e3b646025 + .quad 0x32127190385ce4cf + .quad 0xa25cffc2dd6dea45 + .quad 0x06409010bea8de75 + .quad 0xd67cded679d34aa0 + .quad 0xcc0b9ec0cc4db39f + .quad 0xa535a456e35d190f + .quad 0x2e05d9eaf61f6fef + .quad 0xc447901ad61beb59 + .quad 0x661f19bce5dc880a + .quad 0x24685482b7ca6827 + .quad 0x293c778cefe07f26 + + // 2^132 * 2 * G + + .quad 0x86809e7007069096 + .quad 0xaad75b15e4e50189 + .quad 0x07f35715a21a0147 + .quad 0x0487f3f112815d5e + .quad 0x16c795d6a11ff200 + .quad 0xcb70d0e2b15815c9 + .quad 0x89f293209b5395b5 + .quad 0x50b8c2d031e47b4f + .quad 0x48350c08068a4962 + .quad 0x6ffdd05351092c9a + .quad 0x17af4f4aaf6fc8dd + .quad 0x4b0553b53cdba58b + + // 2^132 * 3 * G + + .quad 0x9c65fcbe1b32ff79 + .quad 0xeb75ea9f03b50f9b + .quad 0xfced2a6c6c07e606 + .quad 0x35106cd551717908 + .quad 0xbf05211b27c152d4 + .quad 0x5ec26849bd1af639 + .quad 0x5e0b2caa8e6fab98 + .quad 0x054c8bdd50bd0840 + .quad 0x38a0b12f1dcf073d + .quad 0x4b60a8a3b7f6a276 + .quad 0xfed5ac25d3404f9a + .quad 0x72e82d5e5505c229 + + // 2^132 * 4 * G + + .quad 0x6b0b697ff0d844c8 + .quad 0xbb12f85cd979cb49 + .quad 0xd2a541c6c1da0f1f + .quad 0x7b7c242958ce7211 + .quad 0x00d9cdfd69771d02 + .quad 0x410276cd6cfbf17e + .quad 0x4c45306c1cb12ec7 + .quad 0x2857bf1627500861 + .quad 0x9f21903f0101689e + .quad 0xd779dfd3bf861005 + .quad 0xa122ee5f3deb0f1b + .quad 0x510df84b485a00d4 + + // 2^132 * 5 * G + + .quad 0xa54133bb9277a1fa + .quad 0x74ec3b6263991237 + .quad 0x1a3c54dc35d2f15a + .quad 0x2d347144e482ba3a + .quad 0x24b3c887c70ac15e + .quad 0xb0f3a557fb81b732 + .quad 0x9b2cde2fe578cc1b + .quad 0x4cf7ed0703b54f8e + .quad 0x6bd47c6598fbee0f + .quad 0x9e4733e2ab55be2d + .quad 0x1093f624127610c5 + .quad 0x4e05e26ad0a1eaa4 + + // 2^132 * 6 * G + + .quad 0xda9b6b624b531f20 + .quad 0x429a760e77509abb + .quad 0xdbe9f522e823cb80 + .quad 0x618f1856880c8f82 + .quad 0x1833c773e18fe6c0 + .quad 0xe3c4711ad3c87265 + .quad 0x3bfd3c4f0116b283 + .quad 0x1955875eb4cd4db8 + .quad 0x6da6de8f0e399799 + .quad 0x7ad61aa440fda178 + .quad 0xb32cd8105e3563dd + .quad 0x15f6beae2ae340ae + + // 2^132 * 7 * G + + .quad 0x862bcb0c31ec3a62 + .quad 0x810e2b451138f3c2 + .quad 0x788ec4b839dac2a4 + .quad 0x28f76867ae2a9281 + .quad 0xba9a0f7b9245e215 + .quad 0xf368612dd98c0dbb + .quad 0x2e84e4cbf220b020 + .quad 0x6ba92fe962d90eda + .quad 0x3e4df9655884e2aa + .quad 0xbd62fbdbdbd465a5 + .quad 0xd7596caa0de9e524 + .quad 0x6e8042ccb2b1b3d7 + + // 2^132 * 8 * G + + .quad 0xf10d3c29ce28ca6e + .quad 0xbad34540fcb6093d + .quad 0xe7426ed7a2ea2d3f + .quad 0x08af9d4e4ff298b9 + .quad 0x1530653616521f7e + .quad 0x660d06b896203dba + .quad 0x2d3989bc545f0879 + .quad 0x4b5303af78ebd7b0 + .quad 0x72f8a6c3bebcbde8 + .quad 0x4f0fca4adc3a8e89 + .quad 0x6fa9d4e8c7bfdf7a + .quad 0x0dcf2d679b624eb7 + + // 2^136 * 1 * G + + .quad 0x3d5947499718289c + .quad 0x12ebf8c524533f26 + .quad 0x0262bfcb14c3ef15 + .quad 0x20b878d577b7518e + .quad 0x753941be5a45f06e + .quad 0xd07caeed6d9c5f65 + .quad 0x11776b9c72ff51b6 + .quad 0x17d2d1d9ef0d4da9 + .quad 0x27f2af18073f3e6a + .quad 0xfd3fe519d7521069 + .quad 0x22e3b72c3ca60022 + .quad 0x72214f63cc65c6a7 + + // 2^136 * 2 * G + + .quad 0xb4e37f405307a693 + .quad 0xaba714d72f336795 + .quad 0xd6fbd0a773761099 + .quad 0x5fdf48c58171cbc9 + .quad 0x1d9db7b9f43b29c9 + .quad 0xd605824a4f518f75 + .quad 0xf2c072bd312f9dc4 + .quad 0x1f24ac855a1545b0 + .quad 0x24d608328e9505aa + .quad 0x4748c1d10c1420ee + .quad 0xc7ffe45c06fb25a2 + .quad 0x00ba739e2ae395e6 + + // 2^136 * 3 * G + + .quad 0x592e98de5c8790d6 + .quad 0xe5bfb7d345c2a2df + .quad 0x115a3b60f9b49922 + .quad 0x03283a3e67ad78f3 + .quad 0xae4426f5ea88bb26 + .quad 0x360679d984973bfb + .quad 0x5c9f030c26694e50 + .quad 0x72297de7d518d226 + .quad 0x48241dc7be0cb939 + .quad 0x32f19b4d8b633080 + .quad 0xd3dfc90d02289308 + .quad 0x05e1296846271945 + + // 2^136 * 4 * G + + .quad 0xba82eeb32d9c495a + .quad 0xceefc8fcf12bb97c + .quad 0xb02dabae93b5d1e0 + .quad 0x39c00c9c13698d9b + .quad 0xadbfbbc8242c4550 + .quad 0xbcc80cecd03081d9 + .quad 0x843566a6f5c8df92 + .quad 0x78cf25d38258ce4c + .quad 0x15ae6b8e31489d68 + .quad 0xaa851cab9c2bf087 + .quad 0xc9a75a97f04efa05 + .quad 0x006b52076b3ff832 + + // 2^136 * 5 * G + + .quad 0x29e0cfe19d95781c + .quad 0xb681df18966310e2 + .quad 0x57df39d370516b39 + .quad 0x4d57e3443bc76122 + .quad 0xf5cb7e16b9ce082d + .quad 0x3407f14c417abc29 + .quad 0xd4b36bce2bf4a7ab + .quad 0x7de2e9561a9f75ce + .quad 0xde70d4f4b6a55ecb + .quad 0x4801527f5d85db99 + .quad 0xdbc9c440d3ee9a81 + .quad 0x6b2a90af1a6029ed + + // 2^136 * 6 * G + + .quad 0x6923f4fc9ae61e97 + .quad 0x5735281de03f5fd1 + .quad 0xa764ae43e6edd12d + .quad 0x5fd8f4e9d12d3e4a + .quad 0x77ebf3245bb2d80a + .quad 0xd8301b472fb9079b + .quad 0xc647e6f24cee7333 + .quad 0x465812c8276c2109 + .quad 0x4d43beb22a1062d9 + .quad 0x7065fb753831dc16 + .quad 0x180d4a7bde2968d7 + .quad 0x05b32c2b1cb16790 + + // 2^136 * 7 * G + + .quad 0xc8c05eccd24da8fd + .quad 0xa1cf1aac05dfef83 + .quad 0xdbbeeff27df9cd61 + .quad 0x3b5556a37b471e99 + .quad 0xf7fca42c7ad58195 + .quad 0x3214286e4333f3cc + .quad 0xb6c29d0d340b979d + .quad 0x31771a48567307e1 + .quad 0x32b0c524e14dd482 + .quad 0xedb351541a2ba4b6 + .quad 0xa3d16048282b5af3 + .quad 0x4fc079d27a7336eb + + // 2^136 * 8 * G + + .quad 0x51c938b089bf2f7f + .quad 0x2497bd6502dfe9a7 + .quad 0xffffc09c7880e453 + .quad 0x124567cecaf98e92 + .quad 0xdc348b440c86c50d + .quad 0x1337cbc9cc94e651 + .quad 0x6422f74d643e3cb9 + .quad 0x241170c2bae3cd08 + .quad 0x3ff9ab860ac473b4 + .quad 0xf0911dee0113e435 + .quad 0x4ae75060ebc6c4af + .quad 0x3f8612966c87000d + + // 2^140 * 1 * G + + .quad 0x0c9c5303f7957be4 + .quad 0xa3c31a20e085c145 + .quad 0xb0721d71d0850050 + .quad 0x0aba390eab0bf2da + .quad 0x529fdffe638c7bf3 + .quad 0xdf2b9e60388b4995 + .quad 0xe027b34f1bad0249 + .quad 0x7bc92fc9b9fa74ed + .quad 0x9f97ef2e801ad9f9 + .quad 0x83697d5479afda3a + .quad 0xe906b3ffbd596b50 + .quad 0x02672b37dd3fb8e0 + + // 2^140 * 2 * G + + .quad 0x48b2ca8b260885e4 + .quad 0xa4286bec82b34c1c + .quad 0x937e1a2617f58f74 + .quad 0x741d1fcbab2ca2a5 + .quad 0xee9ba729398ca7f5 + .quad 0xeb9ca6257a4849db + .quad 0x29eb29ce7ec544e1 + .quad 0x232ca21ef736e2c8 + .quad 0xbf61423d253fcb17 + .quad 0x08803ceafa39eb14 + .quad 0xf18602df9851c7af + .quad 0x0400f3a049e3414b + + // 2^140 * 3 * G + + .quad 0xabce0476ba61c55b + .quad 0x36a3d6d7c4d39716 + .quad 0x6eb259d5e8d82d09 + .quad 0x0c9176e984d756fb + .quad 0x2efba412a06e7b06 + .quad 0x146785452c8d2560 + .quad 0xdf9713ebd67a91c7 + .quad 0x32830ac7157eadf3 + .quad 0x0e782a7ab73769e8 + .quad 0x04a05d7875b18e2c + .quad 0x29525226ebcceae1 + .quad 0x0d794f8383eba820 + + // 2^140 * 4 * G + + .quad 0xff35f5cb9e1516f4 + .quad 0xee805bcf648aae45 + .quad 0xf0d73c2bb93a9ef3 + .quad 0x097b0bf22092a6c2 + .quad 0x7be44ce7a7a2e1ac + .quad 0x411fd93efad1b8b7 + .quad 0x1734a1d70d5f7c9b + .quad 0x0d6592233127db16 + .quad 0xc48bab1521a9d733 + .quad 0xa6c2eaead61abb25 + .quad 0x625c6c1cc6cb4305 + .quad 0x7fc90fea93eb3a67 + + // 2^140 * 5 * G + + .quad 0x0408f1fe1f5c5926 + .quad 0x1a8f2f5e3b258bf4 + .quad 0x40a951a2fdc71669 + .quad 0x6598ee93c98b577e + .quad 0xc527deb59c7cb23d + .quad 0x955391695328404e + .quad 0xd64392817ccf2c7a + .quad 0x6ce97dabf7d8fa11 + .quad 0x25b5a8e50ef7c48f + .quad 0xeb6034116f2ce532 + .quad 0xc5e75173e53de537 + .quad 0x73119fa08c12bb03 + + // 2^140 * 6 * G + + .quad 0xed30129453f1a4cb + .quad 0xbce621c9c8f53787 + .quad 0xfacb2b1338bee7b9 + .quad 0x3025798a9ea8428c + .quad 0x7845b94d21f4774d + .quad 0xbf62f16c7897b727 + .quad 0x671857c03c56522b + .quad 0x3cd6a85295621212 + .quad 0x3fecde923aeca999 + .quad 0xbdaa5b0062e8c12f + .quad 0x67b99dfc96988ade + .quad 0x3f52c02852661036 + + // 2^140 * 7 * G + + .quad 0xffeaa48e2a1351c6 + .quad 0x28624754fa7f53d7 + .quad 0x0b5ba9e57582ddf1 + .quad 0x60c0104ba696ac59 + .quad 0x9258bf99eec416c6 + .quad 0xac8a5017a9d2f671 + .quad 0x629549ab16dea4ab + .quad 0x05d0e85c99091569 + .quad 0x051de020de9cbe97 + .quad 0xfa07fc56b50bcf74 + .quad 0x378cec9f0f11df65 + .quad 0x36853c69ab96de4d + + // 2^140 * 8 * G + + .quad 0x36d9b8de78f39b2d + .quad 0x7f42ed71a847b9ec + .quad 0x241cd1d679bd3fde + .quad 0x6a704fec92fbce6b + .quad 0x4433c0b0fac5e7be + .quad 0x724bae854c08dcbe + .quad 0xf1f24cc446978f9b + .quad 0x4a0aff6d62825fc8 + .quad 0xe917fb9e61095301 + .quad 0xc102df9402a092f8 + .quad 0xbf09e2f5fa66190b + .quad 0x681109bee0dcfe37 + + // 2^144 * 1 * G + + .quad 0x559a0cc9782a0dde + .quad 0x551dcdb2ea718385 + .quad 0x7f62865b31ef238c + .quad 0x504aa7767973613d + .quad 0x9c18fcfa36048d13 + .quad 0x29159db373899ddd + .quad 0xdc9f350b9f92d0aa + .quad 0x26f57eee878a19d4 + .quad 0x0cab2cd55687efb1 + .quad 0x5180d162247af17b + .quad 0x85c15a344f5a2467 + .quad 0x4041943d9dba3069 + + // 2^144 * 2 * G + + .quad 0xc3c0eeba43ebcc96 + .quad 0x8d749c9c26ea9caf + .quad 0xd9fa95ee1c77ccc6 + .quad 0x1420a1d97684340f + .quad 0x4b217743a26caadd + .quad 0x47a6b424648ab7ce + .quad 0xcb1d4f7a03fbc9e3 + .quad 0x12d931429800d019 + .quad 0x00c67799d337594f + .quad 0x5e3c5140b23aa47b + .quad 0x44182854e35ff395 + .quad 0x1b4f92314359a012 + + // 2^144 * 3 * G + + .quad 0x3e5c109d89150951 + .quad 0x39cefa912de9696a + .quad 0x20eae43f975f3020 + .quad 0x239b572a7f132dae + .quad 0x33cf3030a49866b1 + .quad 0x251f73d2215f4859 + .quad 0xab82aa4051def4f6 + .quad 0x5ff191d56f9a23f6 + .quad 0x819ed433ac2d9068 + .quad 0x2883ab795fc98523 + .quad 0xef4572805593eb3d + .quad 0x020c526a758f36cb + + // 2^144 * 4 * G + + .quad 0x779834f89ed8dbbc + .quad 0xc8f2aaf9dc7ca46c + .quad 0xa9524cdca3e1b074 + .quad 0x02aacc4615313877 + .quad 0xe931ef59f042cc89 + .quad 0x2c589c9d8e124bb6 + .quad 0xadc8e18aaec75997 + .quad 0x452cfe0a5602c50c + .quad 0x86a0f7a0647877df + .quad 0xbbc464270e607c9f + .quad 0xab17ea25f1fb11c9 + .quad 0x4cfb7d7b304b877b + + // 2^144 * 5 * G + + .quad 0x72b43d6cb89b75fe + .quad 0x54c694d99c6adc80 + .quad 0xb8c3aa373ee34c9f + .quad 0x14b4622b39075364 + .quad 0xe28699c29789ef12 + .quad 0x2b6ecd71df57190d + .quad 0xc343c857ecc970d0 + .quad 0x5b1d4cbc434d3ac5 + .quad 0xb6fb2615cc0a9f26 + .quad 0x3a4f0e2bb88dcce5 + .quad 0x1301498b3369a705 + .quad 0x2f98f71258592dd1 + + // 2^144 * 6 * G + + .quad 0x0c94a74cb50f9e56 + .quad 0x5b1ff4a98e8e1320 + .quad 0x9a2acc2182300f67 + .quad 0x3a6ae249d806aaf9 + .quad 0x2e12ae444f54a701 + .quad 0xfcfe3ef0a9cbd7de + .quad 0xcebf890d75835de0 + .quad 0x1d8062e9e7614554 + .quad 0x657ada85a9907c5a + .quad 0x1a0ea8b591b90f62 + .quad 0x8d0e1dfbdf34b4e9 + .quad 0x298b8ce8aef25ff3 + + // 2^144 * 7 * G + + .quad 0x2a927953eff70cb2 + .quad 0x4b89c92a79157076 + .quad 0x9418457a30a7cf6a + .quad 0x34b8a8404d5ce485 + .quad 0x837a72ea0a2165de + .quad 0x3fab07b40bcf79f6 + .quad 0x521636c77738ae70 + .quad 0x6ba6271803a7d7dc + .quad 0xc26eecb583693335 + .quad 0xd5a813df63b5fefd + .quad 0xa293aa9aa4b22573 + .quad 0x71d62bdd465e1c6a + + // 2^144 * 8 * G + + .quad 0x6533cc28d378df80 + .quad 0xf6db43790a0fa4b4 + .quad 0xe3645ff9f701da5a + .quad 0x74d5f317f3172ba4 + .quad 0xcd2db5dab1f75ef5 + .quad 0xd77f95cf16b065f5 + .quad 0x14571fea3f49f085 + .quad 0x1c333621262b2b3d + .quad 0xa86fe55467d9ca81 + .quad 0x398b7c752b298c37 + .quad 0xda6d0892e3ac623b + .quad 0x4aebcc4547e9d98c + + // 2^148 * 1 * G + + .quad 0x53175a7205d21a77 + .quad 0xb0c04422d3b934d4 + .quad 0xadd9f24bdd5deadc + .quad 0x074f46e69f10ff8c + .quad 0x0de9b204a059a445 + .quad 0xe15cb4aa4b17ad0f + .quad 0xe1bbec521f79c557 + .quad 0x2633f1b9d071081b + .quad 0xc1fb4177018b9910 + .quad 0xa6ea20dc6c0fe140 + .quad 0xd661f3e74354c6ff + .quad 0x5ecb72e6f1a3407a + + // 2^148 * 2 * G + + .quad 0xa515a31b2259fb4e + .quad 0x0960f3972bcac52f + .quad 0xedb52fec8d3454cb + .quad 0x382e2720c476c019 + .quad 0xfeeae106e8e86997 + .quad 0x9863337f98d09383 + .quad 0x9470480eaa06ebef + .quad 0x038b6898d4c5c2d0 + .quad 0xf391c51d8ace50a6 + .quad 0x3142d0b9ae2d2948 + .quad 0xdb4d5a1a7f24ca80 + .quad 0x21aeba8b59250ea8 + + // 2^148 * 3 * G + + .quad 0x24f13b34cf405530 + .quad 0x3c44ea4a43088af7 + .quad 0x5dd5c5170006a482 + .quad 0x118eb8f8890b086d + .quad 0x53853600f0087f23 + .quad 0x4c461879da7d5784 + .quad 0x6af303deb41f6860 + .quad 0x0a3c16c5c27c18ed + .quad 0x17e49c17cc947f3d + .quad 0xccc6eda6aac1d27b + .quad 0xdf6092ceb0f08e56 + .quad 0x4909b3e22c67c36b + + // 2^148 * 4 * G + + .quad 0x9c9c85ea63fe2e89 + .quad 0xbe1baf910e9412ec + .quad 0x8f7baa8a86fbfe7b + .quad 0x0fb17f9fef968b6c + .quad 0x59a16676706ff64e + .quad 0x10b953dd0d86a53d + .quad 0x5848e1e6ce5c0b96 + .quad 0x2d8b78e712780c68 + .quad 0x79d5c62eafc3902b + .quad 0x773a215289e80728 + .quad 0xc38ae640e10120b9 + .quad 0x09ae23717b2b1a6d + + // 2^148 * 5 * G + + .quad 0xbb6a192a4e4d083c + .quad 0x34ace0630029e192 + .quad 0x98245a59aafabaeb + .quad 0x6d9c8a9ada97faac + .quad 0x10ab8fa1ad32b1d0 + .quad 0xe9aced1be2778b24 + .quad 0xa8856bc0373de90f + .quad 0x66f35ddddda53996 + .quad 0xd27d9afb24997323 + .quad 0x1bb7e07ef6f01d2e + .quad 0x2ba7472df52ecc7f + .quad 0x03019b4f646f9dc8 + + // 2^148 * 6 * G + + .quad 0x04a186b5565345cd + .quad 0xeee76610bcc4116a + .quad 0x689c73b478fb2a45 + .quad 0x387dcbff65697512 + .quad 0xaf09b214e6b3dc6b + .quad 0x3f7573b5ad7d2f65 + .quad 0xd019d988100a23b0 + .quad 0x392b63a58b5c35f7 + .quad 0x4093addc9c07c205 + .quad 0xc565be15f532c37e + .quad 0x63dbecfd1583402a + .quad 0x61722b4aef2e032e + + // 2^148 * 7 * G + + .quad 0x0012aafeecbd47af + .quad 0x55a266fb1cd46309 + .quad 0xf203eb680967c72c + .quad 0x39633944ca3c1429 + .quad 0xd6b07a5581cb0e3c + .quad 0x290ff006d9444969 + .quad 0x08680b6a16dcda1f + .quad 0x5568d2b75a06de59 + .quad 0x8d0cb88c1b37cfe1 + .quad 0x05b6a5a3053818f3 + .quad 0xf2e9bc04b787d959 + .quad 0x6beba1249add7f64 + + // 2^148 * 8 * G + + .quad 0x1d06005ca5b1b143 + .quad 0x6d4c6bb87fd1cda2 + .quad 0x6ef5967653fcffe7 + .quad 0x097c29e8c1ce1ea5 + .quad 0x5c3cecb943f5a53b + .quad 0x9cc9a61d06c08df2 + .quad 0xcfba639a85895447 + .quad 0x5a845ae80df09fd5 + .quad 0x4ce97dbe5deb94ca + .quad 0x38d0a4388c709c48 + .quad 0xc43eced4a169d097 + .quad 0x0a1249fff7e587c3 + + // 2^152 * 1 * G + + .quad 0x12f0071b276d01c9 + .quad 0xe7b8bac586c48c70 + .quad 0x5308129b71d6fba9 + .quad 0x5d88fbf95a3db792 + .quad 0x0b408d9e7354b610 + .quad 0x806b32535ba85b6e + .quad 0xdbe63a034a58a207 + .quad 0x173bd9ddc9a1df2c + .quad 0x2b500f1efe5872df + .quad 0x58d6582ed43918c1 + .quad 0xe6ed278ec9673ae0 + .quad 0x06e1cd13b19ea319 + + // 2^152 * 2 * G + + .quad 0x40d0ad516f166f23 + .quad 0x118e32931fab6abe + .quad 0x3fe35e14a04d088e + .quad 0x3080603526e16266 + .quad 0x472baf629e5b0353 + .quad 0x3baa0b90278d0447 + .quad 0x0c785f469643bf27 + .quad 0x7f3a6a1a8d837b13 + .quad 0xf7e644395d3d800b + .quad 0x95a8d555c901edf6 + .quad 0x68cd7830592c6339 + .quad 0x30d0fded2e51307e + + // 2^152 * 3 * G + + .quad 0xe0594d1af21233b3 + .quad 0x1bdbe78ef0cc4d9c + .quad 0x6965187f8f499a77 + .quad 0x0a9214202c099868 + .quad 0x9cb4971e68b84750 + .quad 0xa09572296664bbcf + .quad 0x5c8de72672fa412b + .quad 0x4615084351c589d9 + .quad 0xbc9019c0aeb9a02e + .quad 0x55c7110d16034cae + .quad 0x0e6df501659932ec + .quad 0x3bca0d2895ca5dfe + + // 2^152 * 4 * G + + .quad 0x40f031bc3c5d62a4 + .quad 0x19fc8b3ecff07a60 + .quad 0x98183da2130fb545 + .quad 0x5631deddae8f13cd + .quad 0x9c688eb69ecc01bf + .quad 0xf0bc83ada644896f + .quad 0xca2d955f5f7a9fe2 + .quad 0x4ea8b4038df28241 + .quad 0x2aed460af1cad202 + .quad 0x46305305a48cee83 + .quad 0x9121774549f11a5f + .quad 0x24ce0930542ca463 + + // 2^152 * 5 * G + + .quad 0x1fe890f5fd06c106 + .quad 0xb5c468355d8810f2 + .quad 0x827808fe6e8caf3e + .quad 0x41d4e3c28a06d74b + .quad 0x3fcfa155fdf30b85 + .quad 0xd2f7168e36372ea4 + .quad 0xb2e064de6492f844 + .quad 0x549928a7324f4280 + .quad 0xf26e32a763ee1a2e + .quad 0xae91e4b7d25ffdea + .quad 0xbc3bd33bd17f4d69 + .quad 0x491b66dec0dcff6a + + // 2^152 * 6 * G + + .quad 0x98f5b13dc7ea32a7 + .quad 0xe3d5f8cc7e16db98 + .quad 0xac0abf52cbf8d947 + .quad 0x08f338d0c85ee4ac + .quad 0x75f04a8ed0da64a1 + .quad 0xed222caf67e2284b + .quad 0x8234a3791f7b7ba4 + .quad 0x4cf6b8b0b7018b67 + .quad 0xc383a821991a73bd + .quad 0xab27bc01df320c7a + .quad 0xc13d331b84777063 + .quad 0x530d4a82eb078a99 + + // 2^152 * 7 * G + + .quad 0x004c3630e1f94825 + .quad 0x7e2d78268cab535a + .quad 0xc7482323cc84ff8b + .quad 0x65ea753f101770b9 + .quad 0x6d6973456c9abf9e + .quad 0x257fb2fc4900a880 + .quad 0x2bacf412c8cfb850 + .quad 0x0db3e7e00cbfbd5b + .quad 0x3d66fc3ee2096363 + .quad 0x81d62c7f61b5cb6b + .quad 0x0fbe044213443b1a + .quad 0x02a4ec1921e1a1db + + // 2^152 * 8 * G + + .quad 0x5ce6259a3b24b8a2 + .quad 0xb8577acc45afa0b8 + .quad 0xcccbe6e88ba07037 + .quad 0x3d143c51127809bf + .quad 0xf5c86162f1cf795f + .quad 0x118c861926ee57f2 + .quad 0x172124851c063578 + .quad 0x36d12b5dec067fcf + .quad 0x126d279179154557 + .quad 0xd5e48f5cfc783a0a + .quad 0x36bdb6e8df179bac + .quad 0x2ef517885ba82859 + + // 2^156 * 1 * G + + .quad 0x88bd438cd11e0d4a + .quad 0x30cb610d43ccf308 + .quad 0xe09a0e3791937bcc + .quad 0x4559135b25b1720c + .quad 0x1ea436837c6da1e9 + .quad 0xf9c189af1fb9bdbe + .quad 0x303001fcce5dd155 + .quad 0x28a7c99ebc57be52 + .quad 0xb8fd9399e8d19e9d + .quad 0x908191cb962423ff + .quad 0xb2b948d747c742a3 + .quad 0x37f33226d7fb44c4 + + // 2^156 * 2 * G + + .quad 0x0dae8767b55f6e08 + .quad 0x4a43b3b35b203a02 + .quad 0xe3725a6e80af8c79 + .quad 0x0f7a7fd1705fa7a3 + .quad 0x33912553c821b11d + .quad 0x66ed42c241e301df + .quad 0x066fcc11104222fd + .quad 0x307a3b41c192168f + .quad 0x8eeb5d076eb55ce0 + .quad 0x2fc536bfaa0d925a + .quad 0xbe81830fdcb6c6e8 + .quad 0x556c7045827baf52 + + // 2^156 * 3 * G + + .quad 0x8e2b517302e9d8b7 + .quad 0xe3e52269248714e8 + .quad 0xbd4fbd774ca960b5 + .quad 0x6f4b4199c5ecada9 + .quad 0xb94b90022bf44406 + .quad 0xabd4237eff90b534 + .quad 0x7600a960faf86d3a + .quad 0x2f45abdac2322ee3 + .quad 0x61af4912c8ef8a6a + .quad 0xe58fa4fe43fb6e5e + .quad 0xb5afcc5d6fd427cf + .quad 0x6a5393281e1e11eb + + // 2^156 * 4 * G + + .quad 0xf3da5139a5d1ee89 + .quad 0x8145457cff936988 + .quad 0x3f622fed00e188c4 + .quad 0x0f513815db8b5a3d + .quad 0x0fff04fe149443cf + .quad 0x53cac6d9865cddd7 + .quad 0x31385b03531ed1b7 + .quad 0x5846a27cacd1039d + .quad 0x4ff5cdac1eb08717 + .quad 0x67e8b29590f2e9bc + .quad 0x44093b5e237afa99 + .quad 0x0d414bed8708b8b2 + + // 2^156 * 5 * G + + .quad 0xcfb68265fd0e75f6 + .quad 0xe45b3e28bb90e707 + .quad 0x7242a8de9ff92c7a + .quad 0x685b3201933202dd + .quad 0x81886a92294ac9e8 + .quad 0x23162b45d55547be + .quad 0x94cfbc4403715983 + .quad 0x50eb8fdb134bc401 + .quad 0xc0b73ec6d6b330cd + .quad 0x84e44807132faff1 + .quad 0x732b7352c4a5dee1 + .quad 0x5d7c7cf1aa7cd2d2 + + // 2^156 * 6 * G + + .quad 0xaf3b46bf7a4aafa2 + .quad 0xb78705ec4d40d411 + .quad 0x114f0c6aca7c15e3 + .quad 0x3f364faaa9489d4d + .quad 0x33d1013e9b73a562 + .quad 0x925cef5748ec26e1 + .quad 0xa7fce614dd468058 + .quad 0x78b0fad41e9aa438 + .quad 0xbf56a431ed05b488 + .quad 0xa533e66c9c495c7e + .quad 0xe8652baf87f3651a + .quad 0x0241800059d66c33 + + // 2^156 * 7 * G + + .quad 0xceb077fea37a5be4 + .quad 0xdb642f02e5a5eeb7 + .quad 0xc2e6d0c5471270b8 + .quad 0x4771b65538e4529c + .quad 0x28350c7dcf38ea01 + .quad 0x7c6cdbc0b2917ab6 + .quad 0xace7cfbe857082f7 + .quad 0x4d2845aba2d9a1e0 + .quad 0xbb537fe0447070de + .quad 0xcba744436dd557df + .quad 0xd3b5a3473600dbcb + .quad 0x4aeabbe6f9ffd7f8 + + // 2^156 * 8 * G + + .quad 0x4630119e40d8f78c + .quad 0xa01a9bc53c710e11 + .quad 0x486d2b258910dd79 + .quad 0x1e6c47b3db0324e5 + .quad 0x6a2134bcc4a9c8f2 + .quad 0xfbf8fd1c8ace2e37 + .quad 0x000ae3049911a0ba + .quad 0x046e3a616bc89b9e + .quad 0x14e65442f03906be + .quad 0x4a019d54e362be2a + .quad 0x68ccdfec8dc230c7 + .quad 0x7cfb7e3faf6b861c + + // 2^160 * 1 * G + + .quad 0x4637974e8c58aedc + .quad 0xb9ef22fbabf041a4 + .quad 0xe185d956e980718a + .quad 0x2f1b78fab143a8a6 + .quad 0x96eebffb305b2f51 + .quad 0xd3f938ad889596b8 + .quad 0xf0f52dc746d5dd25 + .quad 0x57968290bb3a0095 + .quad 0xf71ab8430a20e101 + .quad 0xf393658d24f0ec47 + .quad 0xcf7509a86ee2eed1 + .quad 0x7dc43e35dc2aa3e1 + + // 2^160 * 2 * G + + .quad 0x85966665887dd9c3 + .quad 0xc90f9b314bb05355 + .quad 0xc6e08df8ef2079b1 + .quad 0x7ef72016758cc12f + .quad 0x5a782a5c273e9718 + .quad 0x3576c6995e4efd94 + .quad 0x0f2ed8051f237d3e + .quad 0x044fb81d82d50a99 + .quad 0xc1df18c5a907e3d9 + .quad 0x57b3371dce4c6359 + .quad 0xca704534b201bb49 + .quad 0x7f79823f9c30dd2e + + // 2^160 * 3 * G + + .quad 0x8334d239a3b513e8 + .quad 0xc13670d4b91fa8d8 + .quad 0x12b54136f590bd33 + .quad 0x0a4e0373d784d9b4 + .quad 0x6a9c1ff068f587ba + .quad 0x0827894e0050c8de + .quad 0x3cbf99557ded5be7 + .quad 0x64a9b0431c06d6f0 + .quad 0x2eb3d6a15b7d2919 + .quad 0xb0b4f6a0d53a8235 + .quad 0x7156ce4389a45d47 + .quad 0x071a7d0ace18346c + + // 2^160 * 4 * G + + .quad 0xd3072daac887ba0b + .quad 0x01262905bfa562ee + .quad 0xcf543002c0ef768b + .quad 0x2c3bcc7146ea7e9c + .quad 0xcc0c355220e14431 + .quad 0x0d65950709b15141 + .quad 0x9af5621b209d5f36 + .quad 0x7c69bcf7617755d3 + .quad 0x07f0d7eb04e8295f + .quad 0x10db18252f50f37d + .quad 0xe951a9a3171798d7 + .quad 0x6f5a9a7322aca51d + + // 2^160 * 5 * G + + .quad 0x8ba1000c2f41c6c5 + .quad 0xc49f79c10cfefb9b + .quad 0x4efa47703cc51c9f + .quad 0x494e21a2e147afca + .quad 0xe729d4eba3d944be + .quad 0x8d9e09408078af9e + .quad 0x4525567a47869c03 + .quad 0x02ab9680ee8d3b24 + .quad 0xefa48a85dde50d9a + .quad 0x219a224e0fb9a249 + .quad 0xfa091f1dd91ef6d9 + .quad 0x6b5d76cbea46bb34 + + // 2^160 * 6 * G + + .quad 0x8857556cec0cd994 + .quad 0x6472dc6f5cd01dba + .quad 0xaf0169148f42b477 + .quad 0x0ae333f685277354 + .quad 0xe0f941171e782522 + .quad 0xf1e6ae74036936d3 + .quad 0x408b3ea2d0fcc746 + .quad 0x16fb869c03dd313e + .quad 0x288e199733b60962 + .quad 0x24fc72b4d8abe133 + .quad 0x4811f7ed0991d03e + .quad 0x3f81e38b8f70d075 + + // 2^160 * 7 * G + + .quad 0x7f910fcc7ed9affe + .quad 0x545cb8a12465874b + .quad 0xa8397ed24b0c4704 + .quad 0x50510fc104f50993 + .quad 0x0adb7f355f17c824 + .quad 0x74b923c3d74299a4 + .quad 0xd57c3e8bcbf8eaf7 + .quad 0x0ad3e2d34cdedc3d + .quad 0x6f0c0fc5336e249d + .quad 0x745ede19c331cfd9 + .quad 0xf2d6fd0009eefe1c + .quad 0x127c158bf0fa1ebe + + // 2^160 * 8 * G + + .quad 0xf6197c422e9879a2 + .quad 0xa44addd452ca3647 + .quad 0x9b413fc14b4eaccb + .quad 0x354ef87d07ef4f68 + .quad 0xdea28fc4ae51b974 + .quad 0x1d9973d3744dfe96 + .quad 0x6240680b873848a8 + .quad 0x4ed82479d167df95 + .quad 0xfee3b52260c5d975 + .quad 0x50352efceb41b0b8 + .quad 0x8808ac30a9f6653c + .quad 0x302d92d20539236d + + // 2^164 * 1 * G + + .quad 0x4c59023fcb3efb7c + .quad 0x6c2fcb99c63c2a94 + .quad 0xba4190e2c3c7e084 + .quad 0x0e545daea51874d9 + .quad 0x957b8b8b0df53c30 + .quad 0x2a1c770a8e60f098 + .quad 0xbbc7a670345796de + .quad 0x22a48f9a90c99bc9 + .quad 0x6b7dc0dc8d3fac58 + .quad 0x5497cd6ce6e42bfd + .quad 0x542f7d1bf400d305 + .quad 0x4159f47f048d9136 + + // 2^164 * 2 * G + + .quad 0x20ad660839e31e32 + .quad 0xf81e1bd58405be50 + .quad 0xf8064056f4dabc69 + .quad 0x14d23dd4ce71b975 + .quad 0x748515a8bbd24839 + .quad 0x77128347afb02b55 + .quad 0x50ba2ac649a2a17f + .quad 0x060525513ad730f1 + .quad 0xf2398e098aa27f82 + .quad 0x6d7982bb89a1b024 + .quad 0xfa694084214dd24c + .quad 0x71ab966fa32301c3 + + // 2^164 * 3 * G + + .quad 0x2dcbd8e34ded02fc + .quad 0x1151f3ec596f22aa + .quad 0xbca255434e0328da + .quad 0x35768fbe92411b22 + .quad 0xb1088a0702809955 + .quad 0x43b273ea0b43c391 + .quad 0xca9b67aefe0686ed + .quad 0x605eecbf8335f4ed + .quad 0x83200a656c340431 + .quad 0x9fcd71678ee59c2f + .quad 0x75d4613f71300f8a + .quad 0x7a912faf60f542f9 + + // 2^164 * 4 * G + + .quad 0xb204585e5edc1a43 + .quad 0x9f0e16ee5897c73c + .quad 0x5b82c0ae4e70483c + .quad 0x624a170e2bddf9be + .quad 0x253f4f8dfa2d5597 + .quad 0x25e49c405477130c + .quad 0x00c052e5996b1102 + .quad 0x33cb966e33bb6c4a + .quad 0x597028047f116909 + .quad 0x828ac41c1e564467 + .quad 0x70417dbde6217387 + .quad 0x721627aefbac4384 + + // 2^164 * 5 * G + + .quad 0x97d03bc38736add5 + .quad 0x2f1422afc532b130 + .quad 0x3aa68a057101bbc4 + .quad 0x4c946cf7e74f9fa7 + .quad 0xfd3097bc410b2f22 + .quad 0xf1a05da7b5cfa844 + .quad 0x61289a1def57ca74 + .quad 0x245ea199bb821902 + .quad 0xaedca66978d477f8 + .quad 0x1898ba3c29117fe1 + .quad 0xcf73f983720cbd58 + .quad 0x67da12e6b8b56351 + + // 2^164 * 6 * G + + .quad 0x7067e187b4bd6e07 + .quad 0x6e8f0203c7d1fe74 + .quad 0x93c6aa2f38c85a30 + .quad 0x76297d1f3d75a78a + .quad 0x2b7ef3d38ec8308c + .quad 0x828fd7ec71eb94ab + .quad 0x807c3b36c5062abd + .quad 0x0cb64cb831a94141 + .quad 0x3030fc33534c6378 + .quad 0xb9635c5ce541e861 + .quad 0x15d9a9bed9b2c728 + .quad 0x49233ea3f3775dcb + + // 2^164 * 7 * G + + .quad 0x629398fa8dbffc3a + .quad 0xe12fe52dd54db455 + .quad 0xf3be11dfdaf25295 + .quad 0x628b140dce5e7b51 + .quad 0x7b3985fe1c9f249b + .quad 0x4fd6b2d5a1233293 + .quad 0xceb345941adf4d62 + .quad 0x6987ff6f542de50c + .quad 0x47e241428f83753c + .quad 0x6317bebc866af997 + .quad 0xdabb5b433d1a9829 + .quad 0x074d8d245287fb2d + + // 2^164 * 8 * G + + .quad 0x8337d9cd440bfc31 + .quad 0x729d2ca1af318fd7 + .quad 0xa040a4a4772c2070 + .quad 0x46002ef03a7349be + .quad 0x481875c6c0e31488 + .quad 0x219429b2e22034b4 + .quad 0x7223c98a31283b65 + .quad 0x3420d60b342277f9 + .quad 0xfaa23adeaffe65f7 + .quad 0x78261ed45be0764c + .quad 0x441c0a1e2f164403 + .quad 0x5aea8e567a87d395 + + // 2^168 * 1 * G + + .quad 0x7813c1a2bca4283d + .quad 0xed62f091a1863dd9 + .quad 0xaec7bcb8c268fa86 + .quad 0x10e5d3b76f1cae4c + .quad 0x2dbc6fb6e4e0f177 + .quad 0x04e1bf29a4bd6a93 + .quad 0x5e1966d4787af6e8 + .quad 0x0edc5f5eb426d060 + .quad 0x5453bfd653da8e67 + .quad 0xe9dc1eec24a9f641 + .quad 0xbf87263b03578a23 + .quad 0x45b46c51361cba72 + + // 2^168 * 2 * G + + .quad 0xa9402abf314f7fa1 + .quad 0xe257f1dc8e8cf450 + .quad 0x1dbbd54b23a8be84 + .quad 0x2177bfa36dcb713b + .quad 0xce9d4ddd8a7fe3e4 + .quad 0xab13645676620e30 + .quad 0x4b594f7bb30e9958 + .quad 0x5c1c0aef321229df + .quad 0x37081bbcfa79db8f + .quad 0x6048811ec25f59b3 + .quad 0x087a76659c832487 + .quad 0x4ae619387d8ab5bb + + // 2^168 * 3 * G + + .quad 0x8ddbf6aa5344a32e + .quad 0x7d88eab4b41b4078 + .quad 0x5eb0eb974a130d60 + .quad 0x1a00d91b17bf3e03 + .quad 0x61117e44985bfb83 + .quad 0xfce0462a71963136 + .quad 0x83ac3448d425904b + .quad 0x75685abe5ba43d64 + .quad 0x6e960933eb61f2b2 + .quad 0x543d0fa8c9ff4952 + .quad 0xdf7275107af66569 + .quad 0x135529b623b0e6aa + + // 2^168 * 4 * G + + .quad 0x18f0dbd7add1d518 + .quad 0x979f7888cfc11f11 + .quad 0x8732e1f07114759b + .quad 0x79b5b81a65ca3a01 + .quad 0xf5c716bce22e83fe + .quad 0xb42beb19e80985c1 + .quad 0xec9da63714254aae + .quad 0x5972ea051590a613 + .quad 0x0fd4ac20dc8f7811 + .quad 0x9a9ad294ac4d4fa8 + .quad 0xc01b2d64b3360434 + .quad 0x4f7e9c95905f3bdb + + // 2^168 * 5 * G + + .quad 0x62674bbc5781302e + .quad 0xd8520f3989addc0f + .quad 0x8c2999ae53fbd9c6 + .quad 0x31993ad92e638e4c + .quad 0x71c8443d355299fe + .quad 0x8bcd3b1cdbebead7 + .quad 0x8092499ef1a49466 + .quad 0x1942eec4a144adc8 + .quad 0x7dac5319ae234992 + .quad 0x2c1b3d910cea3e92 + .quad 0x553ce494253c1122 + .quad 0x2a0a65314ef9ca75 + + // 2^168 * 6 * G + + .quad 0x2db7937ff7f927c2 + .quad 0xdb741f0617d0a635 + .quad 0x5982f3a21155af76 + .quad 0x4cf6e218647c2ded + .quad 0xcf361acd3c1c793a + .quad 0x2f9ebcac5a35bc3b + .quad 0x60e860e9a8cda6ab + .quad 0x055dc39b6dea1a13 + .quad 0xb119227cc28d5bb6 + .quad 0x07e24ebc774dffab + .quad 0xa83c78cee4a32c89 + .quad 0x121a307710aa24b6 + + // 2^168 * 7 * G + + .quad 0xe4db5d5e9f034a97 + .quad 0xe153fc093034bc2d + .quad 0x460546919551d3b1 + .quad 0x333fc76c7a40e52d + .quad 0xd659713ec77483c9 + .quad 0x88bfe077b82b96af + .quad 0x289e28231097bcd3 + .quad 0x527bb94a6ced3a9b + .quad 0x563d992a995b482e + .quad 0x3405d07c6e383801 + .quad 0x485035de2f64d8e5 + .quad 0x6b89069b20a7a9f7 + + // 2^168 * 8 * G + + .quad 0x812aa0416270220d + .quad 0x995a89faf9245b4e + .quad 0xffadc4ce5072ef05 + .quad 0x23bc2103aa73eb73 + .quad 0x4082fa8cb5c7db77 + .quad 0x068686f8c734c155 + .quad 0x29e6c8d9f6e7a57e + .quad 0x0473d308a7639bcf + .quad 0xcaee792603589e05 + .quad 0x2b4b421246dcc492 + .quad 0x02a1ef74e601a94f + .quad 0x102f73bfde04341a + + // 2^172 * 1 * G + + .quad 0xb5a2d50c7ec20d3e + .quad 0xc64bdd6ea0c97263 + .quad 0x56e89052c1ff734d + .quad 0x4929c6f72b2ffaba + .quad 0x358ecba293a36247 + .quad 0xaf8f9862b268fd65 + .quad 0x412f7e9968a01c89 + .quad 0x5786f312cd754524 + .quad 0x337788ffca14032c + .quad 0xf3921028447f1ee3 + .quad 0x8b14071f231bccad + .quad 0x4c817b4bf2344783 + + // 2^172 * 2 * G + + .quad 0x0ff853852871b96e + .quad 0xe13e9fab60c3f1bb + .quad 0xeefd595325344402 + .quad 0x0a37c37075b7744b + .quad 0x413ba057a40b4484 + .quad 0xba4c2e1a4f5f6a43 + .quad 0x614ba0a5aee1d61c + .quad 0x78a1531a8b05dc53 + .quad 0x6cbdf1703ad0562b + .quad 0x8ecf4830c92521a3 + .quad 0xdaebd303fd8424e7 + .quad 0x72ad82a42e5ec56f + + // 2^172 * 3 * G + + .quad 0x3f9e8e35bafb65f6 + .quad 0x39d69ec8f27293a1 + .quad 0x6cb8cd958cf6a3d0 + .quad 0x1734778173adae6d + .quad 0xc368939167024bc3 + .quad 0x8e69d16d49502fda + .quad 0xfcf2ec3ce45f4b29 + .quad 0x065f669ea3b4cbc4 + .quad 0x8a00aec75532db4d + .quad 0xb869a4e443e31bb1 + .quad 0x4a0f8552d3a7f515 + .quad 0x19adeb7c303d7c08 + + // 2^172 * 4 * G + + .quad 0xc720cb6153ead9a3 + .quad 0x55b2c97f512b636e + .quad 0xb1e35b5fd40290b1 + .quad 0x2fd9ccf13b530ee2 + .quad 0x9d05ba7d43c31794 + .quad 0x2470c8ff93322526 + .quad 0x8323dec816197438 + .quad 0x2852709881569b53 + .quad 0x07bd475b47f796b8 + .quad 0xd2c7b013542c8f54 + .quad 0x2dbd23f43b24f87e + .quad 0x6551afd77b0901d6 + + // 2^172 * 5 * G + + .quad 0x4546baaf54aac27f + .quad 0xf6f66fecb2a45a28 + .quad 0x582d1b5b562bcfe8 + .quad 0x44b123f3920f785f + .quad 0x68a24ce3a1d5c9ac + .quad 0xbb77a33d10ff6461 + .quad 0x0f86ce4425d3166e + .quad 0x56507c0950b9623b + .quad 0x1206f0b7d1713e63 + .quad 0x353fe3d915bafc74 + .quad 0x194ceb970ad9d94d + .quad 0x62fadd7cf9d03ad3 + + // 2^172 * 6 * G + + .quad 0xc6b5967b5598a074 + .quad 0x5efe91ce8e493e25 + .quad 0xd4b72c4549280888 + .quad 0x20ef1149a26740c2 + .quad 0x3cd7bc61e7ce4594 + .quad 0xcd6b35a9b7dd267e + .quad 0xa080abc84366ef27 + .quad 0x6ec7c46f59c79711 + .quad 0x2f07ad636f09a8a2 + .quad 0x8697e6ce24205e7d + .quad 0xc0aefc05ee35a139 + .quad 0x15e80958b5f9d897 + + // 2^172 * 7 * G + + .quad 0x25a5ef7d0c3e235b + .quad 0x6c39c17fbe134ee7 + .quad 0xc774e1342dc5c327 + .quad 0x021354b892021f39 + .quad 0x4dd1ed355bb061c4 + .quad 0x42dc0cef941c0700 + .quad 0x61305dc1fd86340e + .quad 0x56b2cc930e55a443 + .quad 0x1df79da6a6bfc5a2 + .quad 0x02f3a2749fde4369 + .quad 0xb323d9f2cda390a7 + .quad 0x7be0847b8774d363 + + // 2^172 * 8 * G + + .quad 0x8c99cc5a8b3f55c3 + .quad 0x0611d7253fded2a0 + .quad 0xed2995ff36b70a36 + .quad 0x1f699a54d78a2619 + .quad 0x1466f5af5307fa11 + .quad 0x817fcc7ded6c0af2 + .quad 0x0a6de44ec3a4a3fb + .quad 0x74071475bc927d0b + .quad 0xe77292f373e7ea8a + .quad 0x296537d2cb045a31 + .quad 0x1bd0653ed3274fde + .quad 0x2f9a2c4476bd2966 + + // 2^176 * 1 * G + + .quad 0xeb18b9ab7f5745c6 + .quad 0x023a8aee5787c690 + .quad 0xb72712da2df7afa9 + .quad 0x36597d25ea5c013d + .quad 0xa2b4dae0b5511c9a + .quad 0x7ac860292bffff06 + .quad 0x981f375df5504234 + .quad 0x3f6bd725da4ea12d + .quad 0x734d8d7b106058ac + .quad 0xd940579e6fc6905f + .quad 0x6466f8f99202932d + .quad 0x7b7ecc19da60d6d0 + + // 2^176 * 2 * G + + .quad 0x78c2373c695c690d + .quad 0xdd252e660642906e + .quad 0x951d44444ae12bd2 + .quad 0x4235ad7601743956 + .quad 0x6dae4a51a77cfa9b + .quad 0x82263654e7a38650 + .quad 0x09bbffcd8f2d82db + .quad 0x03bedc661bf5caba + .quad 0x6258cb0d078975f5 + .quad 0x492942549189f298 + .quad 0xa0cab423e2e36ee4 + .quad 0x0e7ce2b0cdf066a1 + + // 2^176 * 3 * G + + .quad 0xc494643ac48c85a3 + .quad 0xfd361df43c6139ad + .quad 0x09db17dd3ae94d48 + .quad 0x666e0a5d8fb4674a + .quad 0xfea6fedfd94b70f9 + .quad 0xf130c051c1fcba2d + .quad 0x4882d47e7f2fab89 + .quad 0x615256138aeceeb5 + .quad 0x2abbf64e4870cb0d + .quad 0xcd65bcf0aa458b6b + .quad 0x9abe4eba75e8985d + .quad 0x7f0bc810d514dee4 + + // 2^176 * 4 * G + + .quad 0xb9006ba426f4136f + .quad 0x8d67369e57e03035 + .quad 0xcbc8dfd94f463c28 + .quad 0x0d1f8dbcf8eedbf5 + .quad 0x83ac9dad737213a0 + .quad 0x9ff6f8ba2ef72e98 + .quad 0x311e2edd43ec6957 + .quad 0x1d3a907ddec5ab75 + .quad 0xba1693313ed081dc + .quad 0x29329fad851b3480 + .quad 0x0128013c030321cb + .quad 0x00011b44a31bfde3 + + // 2^176 * 5 * G + + .quad 0x3fdfa06c3fc66c0c + .quad 0x5d40e38e4dd60dd2 + .quad 0x7ae38b38268e4d71 + .quad 0x3ac48d916e8357e1 + .quad 0x16561f696a0aa75c + .quad 0xc1bf725c5852bd6a + .quad 0x11a8dd7f9a7966ad + .quad 0x63d988a2d2851026 + .quad 0x00120753afbd232e + .quad 0xe92bceb8fdd8f683 + .quad 0xf81669b384e72b91 + .quad 0x33fad52b2368a066 + + // 2^176 * 6 * G + + .quad 0x540649c6c5e41e16 + .quad 0x0af86430333f7735 + .quad 0xb2acfcd2f305e746 + .quad 0x16c0f429a256dca7 + .quad 0x8d2cc8d0c422cfe8 + .quad 0x072b4f7b05a13acb + .quad 0xa3feb6e6ecf6a56f + .quad 0x3cc355ccb90a71e2 + .quad 0xe9b69443903e9131 + .quad 0xb8a494cb7a5637ce + .quad 0xc87cd1a4baba9244 + .quad 0x631eaf426bae7568 + + // 2^176 * 7 * G + + .quad 0xb3e90410da66fe9f + .quad 0x85dd4b526c16e5a6 + .quad 0xbc3d97611ef9bf83 + .quad 0x5599648b1ea919b5 + .quad 0x47d975b9a3700de8 + .quad 0x7280c5fbe2f80552 + .quad 0x53658f2732e45de1 + .quad 0x431f2c7f665f80b5 + .quad 0xd6026344858f7b19 + .quad 0x14ab352fa1ea514a + .quad 0x8900441a2090a9d7 + .quad 0x7b04715f91253b26 + + // 2^176 * 8 * G + + .quad 0x83edbd28acf6ae43 + .quad 0x86357c8b7d5c7ab4 + .quad 0xc0404769b7eb2c44 + .quad 0x59b37bf5c2f6583f + .quad 0xb376c280c4e6bac6 + .quad 0x970ed3dd6d1d9b0b + .quad 0xb09a9558450bf944 + .quad 0x48d0acfa57cde223 + .quad 0xb60f26e47dabe671 + .quad 0xf1d1a197622f3a37 + .quad 0x4208ce7ee9960394 + .quad 0x16234191336d3bdb + + // 2^180 * 1 * G + + .quad 0xf19aeac733a63aef + .quad 0x2c7fba5d4442454e + .quad 0x5da87aa04795e441 + .quad 0x413051e1a4e0b0f5 + .quad 0x852dd1fd3d578bbe + .quad 0x2b65ce72c3286108 + .quad 0x658c07f4eace2273 + .quad 0x0933f804ec38ab40 + .quad 0xa7ab69798d496476 + .quad 0x8121aadefcb5abc8 + .quad 0xa5dc12ef7b539472 + .quad 0x07fd47065e45351a + + // 2^180 * 2 * G + + .quad 0xc8583c3d258d2bcd + .quad 0x17029a4daf60b73f + .quad 0xfa0fc9d6416a3781 + .quad 0x1c1e5fba38b3fb23 + .quad 0x304211559ae8e7c3 + .quad 0xf281b229944882a5 + .quad 0x8a13ac2e378250e4 + .quad 0x014afa0954ba48f4 + .quad 0xcb3197001bb3666c + .quad 0x330060524bffecb9 + .quad 0x293711991a88233c + .quad 0x291884363d4ed364 + + // 2^180 * 3 * G + + .quad 0x033c6805dc4babfa + .quad 0x2c15bf5e5596ecc1 + .quad 0x1bc70624b59b1d3b + .quad 0x3ede9850a19f0ec5 + .quad 0xfb9d37c3bc1ab6eb + .quad 0x02be14534d57a240 + .quad 0xf4d73415f8a5e1f6 + .quad 0x5964f4300ccc8188 + .quad 0xe44a23152d096800 + .quad 0x5c08c55970866996 + .quad 0xdf2db60a46affb6e + .quad 0x579155c1f856fd89 + + // 2^180 * 4 * G + + .quad 0x96324edd12e0c9ef + .quad 0x468b878df2420297 + .quad 0x199a3776a4f573be + .quad 0x1e7fbcf18e91e92a + .quad 0xb5f16b630817e7a6 + .quad 0x808c69233c351026 + .quad 0x324a983b54cef201 + .quad 0x53c092084a485345 + .quad 0xd2d41481f1cbafbf + .quad 0x231d2db6716174e5 + .quad 0x0b7d7656e2a55c98 + .quad 0x3e955cd82aa495f6 + + // 2^180 * 5 * G + + .quad 0xe48f535e3ed15433 + .quad 0xd075692a0d7270a3 + .quad 0x40fbd21daade6387 + .quad 0x14264887cf4495f5 + .quad 0xab39f3ef61bb3a3f + .quad 0x8eb400652eb9193e + .quad 0xb5de6ecc38c11f74 + .quad 0x654d7e9626f3c49f + .quad 0xe564cfdd5c7d2ceb + .quad 0x82eeafded737ccb9 + .quad 0x6107db62d1f9b0ab + .quad 0x0b6baac3b4358dbb + + // 2^180 * 6 * G + + .quad 0x7ae62bcb8622fe98 + .quad 0x47762256ceb891af + .quad 0x1a5a92bcf2e406b4 + .quad 0x7d29401784e41501 + .quad 0x204abad63700a93b + .quad 0xbe0023d3da779373 + .quad 0xd85f0346633ab709 + .quad 0x00496dc490820412 + .quad 0x1c74b88dc27e6360 + .quad 0x074854268d14850c + .quad 0xa145fb7b3e0dcb30 + .quad 0x10843f1b43803b23 + + // 2^180 * 7 * G + + .quad 0xc5f90455376276dd + .quad 0xce59158dd7645cd9 + .quad 0x92f65d511d366b39 + .quad 0x11574b6e526996c4 + .quad 0xd56f672de324689b + .quad 0xd1da8aedb394a981 + .quad 0xdd7b58fe9168cfed + .quad 0x7ce246cd4d56c1e8 + .quad 0xb8f4308e7f80be53 + .quad 0x5f3cb8cb34a9d397 + .quad 0x18a961bd33cc2b2c + .quad 0x710045fb3a9af671 + + // 2^180 * 8 * G + + .quad 0x73f93d36101b95eb + .quad 0xfaef33794f6f4486 + .quad 0x5651735f8f15e562 + .quad 0x7fa3f19058b40da1 + .quad 0xa03fc862059d699e + .quad 0x2370cfa19a619e69 + .quad 0xc4fe3b122f823deb + .quad 0x1d1b056fa7f0844e + .quad 0x1bc64631e56bf61f + .quad 0xd379ab106e5382a3 + .quad 0x4d58c57e0540168d + .quad 0x566256628442d8e4 + + // 2^184 * 1 * G + + .quad 0xb9e499def6267ff6 + .quad 0x7772ca7b742c0843 + .quad 0x23a0153fe9a4f2b1 + .quad 0x2cdfdfecd5d05006 + .quad 0xdd499cd61ff38640 + .quad 0x29cd9bc3063625a0 + .quad 0x51e2d8023dd73dc3 + .quad 0x4a25707a203b9231 + .quad 0x2ab7668a53f6ed6a + .quad 0x304242581dd170a1 + .quad 0x4000144c3ae20161 + .quad 0x5721896d248e49fc + + // 2^184 * 2 * G + + .quad 0x0b6e5517fd181bae + .quad 0x9022629f2bb963b4 + .quad 0x5509bce932064625 + .quad 0x578edd74f63c13da + .quad 0x285d5091a1d0da4e + .quad 0x4baa6fa7b5fe3e08 + .quad 0x63e5177ce19393b3 + .quad 0x03c935afc4b030fd + .quad 0x997276c6492b0c3d + .quad 0x47ccc2c4dfe205fc + .quad 0xdcd29b84dd623a3c + .quad 0x3ec2ab590288c7a2 + + // 2^184 * 3 * G + + .quad 0xa1a0d27be4d87bb9 + .quad 0xa98b4deb61391aed + .quad 0x99a0ddd073cb9b83 + .quad 0x2dd5c25a200fcace + .quad 0xa7213a09ae32d1cb + .quad 0x0f2b87df40f5c2d5 + .quad 0x0baea4c6e81eab29 + .quad 0x0e1bf66c6adbac5e + .quad 0xe2abd5e9792c887e + .quad 0x1a020018cb926d5d + .quad 0xbfba69cdbaae5f1e + .quad 0x730548b35ae88f5f + + // 2^184 * 4 * G + + .quad 0xc43551a3cba8b8ee + .quad 0x65a26f1db2115f16 + .quad 0x760f4f52ab8c3850 + .quad 0x3043443b411db8ca + .quad 0x805b094ba1d6e334 + .quad 0xbf3ef17709353f19 + .quad 0x423f06cb0622702b + .quad 0x585a2277d87845dd + .quad 0xa18a5f8233d48962 + .quad 0x6698c4b5ec78257f + .quad 0xa78e6fa5373e41ff + .quad 0x7656278950ef981f + + // 2^184 * 5 * G + + .quad 0x38c3cf59d51fc8c0 + .quad 0x9bedd2fd0506b6f2 + .quad 0x26bf109fab570e8f + .quad 0x3f4160a8c1b846a6 + .quad 0xe17073a3ea86cf9d + .quad 0x3a8cfbb707155fdc + .quad 0x4853e7fc31838a8e + .quad 0x28bbf484b613f616 + .quad 0xf2612f5c6f136c7c + .quad 0xafead107f6dd11be + .quad 0x527e9ad213de6f33 + .quad 0x1e79cb358188f75d + + // 2^184 * 6 * G + + .quad 0x013436c3eef7e3f1 + .quad 0x828b6a7ffe9e10f8 + .quad 0x7ff908e5bcf9defc + .quad 0x65d7951b3a3b3831 + .quad 0x77e953d8f5e08181 + .quad 0x84a50c44299dded9 + .quad 0xdc6c2d0c864525e5 + .quad 0x478ab52d39d1f2f4 + .quad 0x66a6a4d39252d159 + .quad 0xe5dde1bc871ac807 + .quad 0xb82c6b40a6c1c96f + .quad 0x16d87a411a212214 + + // 2^184 * 7 * G + + .quad 0xb3bd7e5a42066215 + .quad 0x879be3cd0c5a24c1 + .quad 0x57c05db1d6f994b7 + .quad 0x28f87c8165f38ca6 + .quad 0xfba4d5e2d54e0583 + .quad 0xe21fafd72ebd99fa + .quad 0x497ac2736ee9778f + .quad 0x1f990b577a5a6dde + .quad 0xa3344ead1be8f7d6 + .quad 0x7d1e50ebacea798f + .quad 0x77c6569e520de052 + .quad 0x45882fe1534d6d3e + + // 2^184 * 8 * G + + .quad 0x6669345d757983d6 + .quad 0x62b6ed1117aa11a6 + .quad 0x7ddd1857985e128f + .quad 0x688fe5b8f626f6dd + .quad 0xd8ac9929943c6fe4 + .quad 0xb5f9f161a38392a2 + .quad 0x2699db13bec89af3 + .quad 0x7dcf843ce405f074 + .quad 0x6c90d6484a4732c0 + .quad 0xd52143fdca563299 + .quad 0xb3be28c3915dc6e1 + .quad 0x6739687e7327191b + + // 2^188 * 1 * G + + .quad 0x9f65c5ea200814cf + .quad 0x840536e169a31740 + .quad 0x8b0ed13925c8b4ad + .quad 0x0080dbafe936361d + .quad 0x8ce5aad0c9cb971f + .quad 0x1156aaa99fd54a29 + .quad 0x41f7247015af9b78 + .quad 0x1fe8cca8420f49aa + .quad 0x72a1848f3c0cc82a + .quad 0x38c560c2877c9e54 + .quad 0x5004e228ce554140 + .quad 0x042418a103429d71 + + // 2^188 * 2 * G + + .quad 0x899dea51abf3ff5f + .quad 0x9b93a8672fc2d8ba + .quad 0x2c38cb97be6ebd5c + .quad 0x114d578497263b5d + .quad 0x58e84c6f20816247 + .quad 0x8db2b2b6e36fd793 + .quad 0x977182561d484d85 + .quad 0x0822024f8632abd7 + .quad 0xb301bb7c6b1beca3 + .quad 0x55393f6dc6eb1375 + .quad 0x910d281097b6e4eb + .quad 0x1ad4548d9d479ea3 + + // 2^188 * 3 * G + + .quad 0xcd5a7da0389a48fd + .quad 0xb38fa4aa9a78371e + .quad 0xc6d9761b2cdb8e6c + .quad 0x35cf51dbc97e1443 + .quad 0xa06fe66d0fe9fed3 + .quad 0xa8733a401c587909 + .quad 0x30d14d800df98953 + .quad 0x41ce5876c7b30258 + .quad 0x59ac3bc5d670c022 + .quad 0xeae67c109b119406 + .quad 0x9798bdf0b3782fda + .quad 0x651e3201fd074092 + + // 2^188 * 4 * G + + .quad 0xd63d8483ef30c5cf + .quad 0x4cd4b4962361cc0c + .quad 0xee90e500a48426ac + .quad 0x0af51d7d18c14eeb + .quad 0xa57ba4a01efcae9e + .quad 0x769f4beedc308a94 + .quad 0xd1f10eeb3603cb2e + .quad 0x4099ce5e7e441278 + .quad 0x1ac98e4f8a5121e9 + .quad 0x7dae9544dbfa2fe0 + .quad 0x8320aa0dd6430df9 + .quad 0x667282652c4a2fb5 + + // 2^188 * 5 * G + + .quad 0x874621f4d86bc9ab + .quad 0xb54c7bbe56fe6fea + .quad 0x077a24257fadc22c + .quad 0x1ab53be419b90d39 + .quad 0xada8b6e02946db23 + .quad 0x1c0ce51a7b253ab7 + .quad 0x8448c85a66dd485b + .quad 0x7f1fc025d0675adf + .quad 0xd8ee1b18319ea6aa + .quad 0x004d88083a21f0da + .quad 0x3bd6aa1d883a4f4b + .quad 0x4db9a3a6dfd9fd14 + + // 2^188 * 6 * G + + .quad 0x8ce7b23bb99c0755 + .quad 0x35c5d6edc4f50f7a + .quad 0x7e1e2ed2ed9b50c3 + .quad 0x36305f16e8934da1 + .quad 0xd95b00bbcbb77c68 + .quad 0xddbc846a91f17849 + .quad 0x7cf700aebe28d9b3 + .quad 0x5ce1285c85d31f3e + .quad 0x31b6972d98b0bde8 + .quad 0x7d920706aca6de5b + .quad 0xe67310f8908a659f + .quad 0x50fac2a6efdf0235 + + // 2^188 * 7 * G + + .quad 0xf3d3a9f35b880f5a + .quad 0xedec050cdb03e7c2 + .quad 0xa896981ff9f0b1a2 + .quad 0x49a4ae2bac5e34a4 + .quad 0x295b1c86f6f449bc + .quad 0x51b2e84a1f0ab4dd + .quad 0xc001cb30aa8e551d + .quad 0x6a28d35944f43662 + .quad 0x28bb12ee04a740e0 + .quad 0x14313bbd9bce8174 + .quad 0x72f5b5e4e8c10c40 + .quad 0x7cbfb19936adcd5b + + // 2^188 * 8 * G + + .quad 0xa311ddc26b89792d + .quad 0x1b30b4c6da512664 + .quad 0x0ca77b4ccf150859 + .quad 0x1de443df1b009408 + .quad 0x8e793a7acc36e6e0 + .quad 0xf9fab7a37d586eed + .quad 0x3a4f9692bae1f4e4 + .quad 0x1c14b03eff5f447e + .quad 0x19647bd114a85291 + .quad 0x57b76cb21034d3af + .quad 0x6329db440f9d6dfa + .quad 0x5ef43e586a571493 + + // 2^192 * 1 * G + + .quad 0xef782014385675a6 + .quad 0xa2649f30aafda9e8 + .quad 0x4cd1eb505cdfa8cb + .quad 0x46115aba1d4dc0b3 + .quad 0xa66dcc9dc80c1ac0 + .quad 0x97a05cf41b38a436 + .quad 0xa7ebf3be95dbd7c6 + .quad 0x7da0b8f68d7e7dab + .quad 0xd40f1953c3b5da76 + .quad 0x1dac6f7321119e9b + .quad 0x03cc6021feb25960 + .quad 0x5a5f887e83674b4b + + // 2^192 * 2 * G + + .quad 0x8f6301cf70a13d11 + .quad 0xcfceb815350dd0c4 + .quad 0xf70297d4a4bca47e + .quad 0x3669b656e44d1434 + .quad 0x9e9628d3a0a643b9 + .quad 0xb5c3cb00e6c32064 + .quad 0x9b5302897c2dec32 + .quad 0x43e37ae2d5d1c70c + .quad 0x387e3f06eda6e133 + .quad 0x67301d5199a13ac0 + .quad 0xbd5ad8f836263811 + .quad 0x6a21e6cd4fd5e9be + + // 2^192 * 3 * G + + .quad 0xf1c6170a3046e65f + .quad 0x58712a2a00d23524 + .quad 0x69dbbd3c8c82b755 + .quad 0x586bf9f1a195ff57 + .quad 0xef4129126699b2e3 + .quad 0x71d30847708d1301 + .quad 0x325432d01182b0bd + .quad 0x45371b07001e8b36 + .quad 0xa6db088d5ef8790b + .quad 0x5278f0dc610937e5 + .quad 0xac0349d261a16eb8 + .quad 0x0eafb03790e52179 + + // 2^192 * 4 * G + + .quad 0x960555c13748042f + .quad 0x219a41e6820baa11 + .quad 0x1c81f73873486d0c + .quad 0x309acc675a02c661 + .quad 0x5140805e0f75ae1d + .quad 0xec02fbe32662cc30 + .quad 0x2cebdf1eea92396d + .quad 0x44ae3344c5435bb3 + .quad 0x9cf289b9bba543ee + .quad 0xf3760e9d5ac97142 + .quad 0x1d82e5c64f9360aa + .quad 0x62d5221b7f94678f + + // 2^192 * 5 * G + + .quad 0x524c299c18d0936d + .quad 0xc86bb56c8a0c1a0c + .quad 0xa375052edb4a8631 + .quad 0x5c0efde4bc754562 + .quad 0x7585d4263af77a3c + .quad 0xdfae7b11fee9144d + .quad 0xa506708059f7193d + .quad 0x14f29a5383922037 + .quad 0xdf717edc25b2d7f5 + .quad 0x21f970db99b53040 + .quad 0xda9234b7c3ed4c62 + .quad 0x5e72365c7bee093e + + // 2^192 * 6 * G + + .quad 0x575bfc074571217f + .quad 0x3779675d0694d95b + .quad 0x9a0a37bbf4191e33 + .quad 0x77f1104c47b4eabc + .quad 0x7d9339062f08b33e + .quad 0x5b9659e5df9f32be + .quad 0xacff3dad1f9ebdfd + .quad 0x70b20555cb7349b7 + .quad 0xbe5113c555112c4c + .quad 0x6688423a9a881fcd + .quad 0x446677855e503b47 + .quad 0x0e34398f4a06404a + + // 2^192 * 7 * G + + .quad 0xb67d22d93ecebde8 + .quad 0x09b3e84127822f07 + .quad 0x743fa61fb05b6d8d + .quad 0x5e5405368a362372 + .quad 0x18930b093e4b1928 + .quad 0x7de3e10e73f3f640 + .quad 0xf43217da73395d6f + .quad 0x6f8aded6ca379c3e + .quad 0xe340123dfdb7b29a + .quad 0x487b97e1a21ab291 + .quad 0xf9967d02fde6949e + .quad 0x780de72ec8d3de97 + + // 2^192 * 8 * G + + .quad 0x0ae28545089ae7bc + .quad 0x388ddecf1c7f4d06 + .quad 0x38ac15510a4811b8 + .quad 0x0eb28bf671928ce4 + .quad 0x671feaf300f42772 + .quad 0x8f72eb2a2a8c41aa + .quad 0x29a17fd797373292 + .quad 0x1defc6ad32b587a6 + .quad 0xaf5bbe1aef5195a7 + .quad 0x148c1277917b15ed + .quad 0x2991f7fb7ae5da2e + .quad 0x467d201bf8dd2867 + + // 2^196 * 1 * G + + .quad 0x7906ee72f7bd2e6b + .quad 0x05d270d6109abf4e + .quad 0x8d5cfe45b941a8a4 + .quad 0x44c218671c974287 + .quad 0x745f9d56296bc318 + .quad 0x993580d4d8152e65 + .quad 0xb0e5b13f5839e9ce + .quad 0x51fc2b28d43921c0 + .quad 0x1b8fd11795e2a98c + .quad 0x1c4e5ee12b6b6291 + .quad 0x5b30e7107424b572 + .quad 0x6e6b9de84c4f4ac6 + + // 2^196 * 2 * G + + .quad 0xdff25fce4b1de151 + .quad 0xd841c0c7e11c4025 + .quad 0x2554b3c854749c87 + .quad 0x2d292459908e0df9 + .quad 0x6b7c5f10f80cb088 + .quad 0x736b54dc56e42151 + .quad 0xc2b620a5c6ef99c4 + .quad 0x5f4c802cc3a06f42 + .quad 0x9b65c8f17d0752da + .quad 0x881ce338c77ee800 + .quad 0xc3b514f05b62f9e3 + .quad 0x66ed5dd5bec10d48 + + // 2^196 * 3 * G + + .quad 0x7d38a1c20bb2089d + .quad 0x808334e196ccd412 + .quad 0xc4a70b8c6c97d313 + .quad 0x2eacf8bc03007f20 + .quad 0xf0adf3c9cbca047d + .quad 0x81c3b2cbf4552f6b + .quad 0xcfda112d44735f93 + .quad 0x1f23a0c77e20048c + .quad 0xf235467be5bc1570 + .quad 0x03d2d9020dbab38c + .quad 0x27529aa2fcf9e09e + .quad 0x0840bef29d34bc50 + + // 2^196 * 4 * G + + .quad 0x796dfb35dc10b287 + .quad 0x27176bcd5c7ff29d + .quad 0x7f3d43e8c7b24905 + .quad 0x0304f5a191c54276 + .quad 0xcd54e06b7f37e4eb + .quad 0x8cc15f87f5e96cca + .quad 0xb8248bb0d3597dce + .quad 0x246affa06074400c + .quad 0x37d88e68fbe45321 + .quad 0x86097548c0d75032 + .quad 0x4e9b13ef894a0d35 + .quad 0x25a83cac5753d325 + + // 2^196 * 5 * G + + .quad 0x10222f48eed8165e + .quad 0x623fc1234b8bcf3a + .quad 0x1e145c09c221e8f0 + .quad 0x7ccfa59fca782630 + .quad 0x9f0f66293952b6e2 + .quad 0x33db5e0e0934267b + .quad 0xff45252bd609fedc + .quad 0x06be10f5c506e0c9 + .quad 0x1a9615a9b62a345f + .quad 0x22050c564a52fecc + .quad 0xa7a2788528bc0dfe + .quad 0x5e82770a1a1ee71d + + // 2^196 * 6 * G + + .quad 0x35425183ad896a5c + .quad 0xe8673afbe78d52f6 + .quad 0x2c66f25f92a35f64 + .quad 0x09d04f3b3b86b102 + .quad 0xe802e80a42339c74 + .quad 0x34175166a7fffae5 + .quad 0x34865d1f1c408cae + .quad 0x2cca982c605bc5ee + .quad 0xfd2d5d35197dbe6e + .quad 0x207c2eea8be4ffa3 + .quad 0x2613d8db325ae918 + .quad 0x7a325d1727741d3e + + // 2^196 * 7 * G + + .quad 0xd036b9bbd16dfde2 + .quad 0xa2055757c497a829 + .quad 0x8e6cc966a7f12667 + .quad 0x4d3b1a791239c180 + .quad 0xecd27d017e2a076a + .quad 0xd788689f1636495e + .quad 0x52a61af0919233e5 + .quad 0x2a479df17bb1ae64 + .quad 0x9e5eee8e33db2710 + .quad 0x189854ded6c43ca5 + .quad 0xa41c22c592718138 + .quad 0x27ad5538a43a5e9b + + // 2^196 * 8 * G + + .quad 0x2746dd4b15350d61 + .quad 0xd03fcbc8ee9521b7 + .quad 0xe86e365a138672ca + .quad 0x510e987f7e7d89e2 + .quad 0xcb5a7d638e47077c + .quad 0x8db7536120a1c059 + .quad 0x549e1e4d8bedfdcc + .quad 0x080153b7503b179d + .quad 0xdda69d930a3ed3e3 + .quad 0x3d386ef1cd60a722 + .quad 0xc817ad58bdaa4ee6 + .quad 0x23be8d554fe7372a + + // 2^200 * 1 * G + + .quad 0x95fe919a74ef4fad + .quad 0x3a827becf6a308a2 + .quad 0x964e01d309a47b01 + .quad 0x71c43c4f5ba3c797 + .quad 0xbc1ef4bd567ae7a9 + .quad 0x3f624cb2d64498bd + .quad 0xe41064d22c1f4ec8 + .quad 0x2ef9c5a5ba384001 + .quad 0xb6fd6df6fa9e74cd + .quad 0xf18278bce4af267a + .quad 0x8255b3d0f1ef990e + .quad 0x5a758ca390c5f293 + + // 2^200 * 2 * G + + .quad 0xa2b72710d9462495 + .quad 0x3aa8c6d2d57d5003 + .quad 0xe3d400bfa0b487ca + .quad 0x2dbae244b3eb72ec + .quad 0x8ce0918b1d61dc94 + .quad 0x8ded36469a813066 + .quad 0xd4e6a829afe8aad3 + .quad 0x0a738027f639d43f + .quad 0x980f4a2f57ffe1cc + .quad 0x00670d0de1839843 + .quad 0x105c3f4a49fb15fd + .quad 0x2698ca635126a69c + + // 2^200 * 3 * G + + .quad 0xe765318832b0ba78 + .quad 0x381831f7925cff8b + .quad 0x08a81b91a0291fcc + .quad 0x1fb43dcc49caeb07 + .quad 0x2e3d702f5e3dd90e + .quad 0x9e3f0918e4d25386 + .quad 0x5e773ef6024da96a + .quad 0x3c004b0c4afa3332 + .quad 0x9aa946ac06f4b82b + .quad 0x1ca284a5a806c4f3 + .quad 0x3ed3265fc6cd4787 + .quad 0x6b43fd01cd1fd217 + + // 2^200 * 4 * G + + .quad 0xc7a75d4b4697c544 + .quad 0x15fdf848df0fffbf + .quad 0x2868b9ebaa46785a + .quad 0x5a68d7105b52f714 + .quad 0xb5c742583e760ef3 + .quad 0x75dc52b9ee0ab990 + .quad 0xbf1427c2072b923f + .quad 0x73420b2d6ff0d9f0 + .quad 0xaf2cf6cb9e851e06 + .quad 0x8f593913c62238c4 + .quad 0xda8ab89699fbf373 + .quad 0x3db5632fea34bc9e + + // 2^200 * 5 * G + + .quad 0xf46eee2bf75dd9d8 + .quad 0x0d17b1f6396759a5 + .quad 0x1bf2d131499e7273 + .quad 0x04321adf49d75f13 + .quad 0x2e4990b1829825d5 + .quad 0xedeaeb873e9a8991 + .quad 0xeef03d394c704af8 + .quad 0x59197ea495df2b0e + .quad 0x04e16019e4e55aae + .quad 0xe77b437a7e2f92e9 + .quad 0xc7ce2dc16f159aa4 + .quad 0x45eafdc1f4d70cc0 + + // 2^200 * 6 * G + + .quad 0x698401858045d72b + .quad 0x4c22faa2cf2f0651 + .quad 0x941a36656b222dc6 + .quad 0x5a5eebc80362dade + .quad 0xb60e4624cfccb1ed + .quad 0x59dbc292bd5c0395 + .quad 0x31a09d1ddc0481c9 + .quad 0x3f73ceea5d56d940 + .quad 0xb7a7bfd10a4e8dc6 + .quad 0xbe57007e44c9b339 + .quad 0x60c1207f1557aefa + .quad 0x26058891266218db + + // 2^200 * 7 * G + + .quad 0x59f704a68360ff04 + .quad 0xc3d93fde7661e6f4 + .quad 0x831b2a7312873551 + .quad 0x54ad0c2e4e615d57 + .quad 0x4c818e3cc676e542 + .quad 0x5e422c9303ceccad + .quad 0xec07cccab4129f08 + .quad 0x0dedfa10b24443b8 + .quad 0xee3b67d5b82b522a + .quad 0x36f163469fa5c1eb + .quad 0xa5b4d2f26ec19fd3 + .quad 0x62ecb2baa77a9408 + + // 2^200 * 8 * G + + .quad 0xe5ed795261152b3d + .quad 0x4962357d0eddd7d1 + .quad 0x7482c8d0b96b4c71 + .quad 0x2e59f919a966d8be + .quad 0x92072836afb62874 + .quad 0x5fcd5e8579e104a5 + .quad 0x5aad01adc630a14a + .quad 0x61913d5075663f98 + .quad 0x0dc62d361a3231da + .quad 0xfa47583294200270 + .quad 0x02d801513f9594ce + .quad 0x3ddbc2a131c05d5c + + // 2^204 * 1 * G + + .quad 0x3f50a50a4ffb81ef + .quad 0xb1e035093bf420bf + .quad 0x9baa8e1cc6aa2cd0 + .quad 0x32239861fa237a40 + .quad 0xfb735ac2004a35d1 + .quad 0x31de0f433a6607c3 + .quad 0x7b8591bfc528d599 + .quad 0x55be9a25f5bb050c + .quad 0x0d005acd33db3dbf + .quad 0x0111b37c80ac35e2 + .quad 0x4892d66c6f88ebeb + .quad 0x770eadb16508fbcd + + // 2^204 * 2 * G + + .quad 0x8451f9e05e4e89dd + .quad 0xc06302ffbc793937 + .quad 0x5d22749556a6495c + .quad 0x09a6755ca05603fb + .quad 0xf1d3b681a05071b9 + .quad 0x2207659a3592ff3a + .quad 0x5f0169297881e40e + .quad 0x16bedd0e86ba374e + .quad 0x5ecccc4f2c2737b5 + .quad 0x43b79e0c2dccb703 + .quad 0x33e008bc4ec43df3 + .quad 0x06c1b840f07566c0 + + // 2^204 * 3 * G + + .quad 0x7688a5c6a388f877 + .quad 0x02a96c14deb2b6ac + .quad 0x64c9f3431b8c2af8 + .quad 0x3628435554a1eed6 + .quad 0x69ee9e7f9b02805c + .quad 0xcbff828a547d1640 + .quad 0x3d93a869b2430968 + .quad 0x46b7b8cd3fe26972 + .quad 0xe9812086fe7eebe0 + .quad 0x4cba6be72f515437 + .quad 0x1d04168b516efae9 + .quad 0x5ea1391043982cb9 + + // 2^204 * 4 * G + + .quad 0x49125c9cf4702ee1 + .quad 0x4520b71f8b25b32d + .quad 0x33193026501fef7e + .quad 0x656d8997c8d2eb2b + .quad 0x6f2b3be4d5d3b002 + .quad 0xafec33d96a09c880 + .quad 0x035f73a4a8bcc4cc + .quad 0x22c5b9284662198b + .quad 0xcb58c8fe433d8939 + .quad 0x89a0cb2e6a8d7e50 + .quad 0x79ca955309fbbe5a + .quad 0x0c626616cd7fc106 + + // 2^204 * 5 * G + + .quad 0x1ffeb80a4879b61f + .quad 0x6396726e4ada21ed + .quad 0x33c7b093368025ba + .quad 0x471aa0c6f3c31788 + .quad 0x8fdfc379fbf454b1 + .quad 0x45a5a970f1a4b771 + .quad 0xac921ef7bad35915 + .quad 0x42d088dca81c2192 + .quad 0x8fda0f37a0165199 + .quad 0x0adadb77c8a0e343 + .quad 0x20fbfdfcc875e820 + .quad 0x1cf2bea80c2206e7 + + // 2^204 * 6 * G + + .quad 0xc2ddf1deb36202ac + .quad 0x92a5fe09d2e27aa5 + .quad 0x7d1648f6fc09f1d3 + .quad 0x74c2cc0513bc4959 + .quad 0x982d6e1a02c0412f + .quad 0x90fa4c83db58e8fe + .quad 0x01c2f5bcdcb18bc0 + .quad 0x686e0c90216abc66 + .quad 0x1fadbadba54395a7 + .quad 0xb41a02a0ae0da66a + .quad 0xbf19f598bba37c07 + .quad 0x6a12b8acde48430d + + // 2^204 * 7 * G + + .quad 0xf8daea1f39d495d9 + .quad 0x592c190e525f1dfc + .quad 0xdb8cbd04c9991d1b + .quad 0x11f7fda3d88f0cb7 + .quad 0x793bdd801aaeeb5f + .quad 0x00a2a0aac1518871 + .quad 0xe8a373a31f2136b4 + .quad 0x48aab888fc91ef19 + .quad 0x041f7e925830f40e + .quad 0x002d6ca979661c06 + .quad 0x86dc9ff92b046a2e + .quad 0x760360928b0493d1 + + // 2^204 * 8 * G + + .quad 0x21bb41c6120cf9c6 + .quad 0xeab2aa12decda59b + .quad 0xc1a72d020aa48b34 + .quad 0x215d4d27e87d3b68 + .quad 0xb43108e5695a0b05 + .quad 0x6cb00ee8ad37a38b + .quad 0x5edad6eea3537381 + .quad 0x3f2602d4b6dc3224 + .quad 0xc8b247b65bcaf19c + .quad 0x49779dc3b1b2c652 + .quad 0x89a180bbd5ece2e2 + .quad 0x13f098a3cec8e039 + + // 2^208 * 1 * G + + .quad 0x9adc0ff9ce5ec54b + .quad 0x039c2a6b8c2f130d + .quad 0x028007c7f0f89515 + .quad 0x78968314ac04b36b + .quad 0xf3aa57a22796bb14 + .quad 0x883abab79b07da21 + .quad 0xe54be21831a0391c + .quad 0x5ee7fb38d83205f9 + .quad 0x538dfdcb41446a8e + .quad 0xa5acfda9434937f9 + .quad 0x46af908d263c8c78 + .quad 0x61d0633c9bca0d09 + + // 2^208 * 2 * G + + .quad 0x63744935ffdb2566 + .quad 0xc5bd6b89780b68bb + .quad 0x6f1b3280553eec03 + .quad 0x6e965fd847aed7f5 + .quad 0xada328bcf8fc73df + .quad 0xee84695da6f037fc + .quad 0x637fb4db38c2a909 + .quad 0x5b23ac2df8067bdc + .quad 0x9ad2b953ee80527b + .quad 0xe88f19aafade6d8d + .quad 0x0e711704150e82cf + .quad 0x79b9bbb9dd95dedc + + // 2^208 * 3 * G + + .quad 0xebb355406a3126c2 + .quad 0xd26383a868c8c393 + .quad 0x6c0c6429e5b97a82 + .quad 0x5065f158c9fd2147 + .quad 0xd1997dae8e9f7374 + .quad 0xa032a2f8cfbb0816 + .quad 0xcd6cba126d445f0a + .quad 0x1ba811460accb834 + .quad 0x708169fb0c429954 + .quad 0xe14600acd76ecf67 + .quad 0x2eaab98a70e645ba + .quad 0x3981f39e58a4faf2 + + // 2^208 * 4 * G + + .quad 0x18fb8a7559230a93 + .quad 0x1d168f6960e6f45d + .quad 0x3a85a94514a93cb5 + .quad 0x38dc083705acd0fd + .quad 0xc845dfa56de66fde + .quad 0xe152a5002c40483a + .quad 0xe9d2e163c7b4f632 + .quad 0x30f4452edcbc1b65 + .quad 0x856d2782c5759740 + .quad 0xfa134569f99cbecc + .quad 0x8844fc73c0ea4e71 + .quad 0x632d9a1a593f2469 + + // 2^208 * 5 * G + + .quad 0xf6bb6b15b807cba6 + .quad 0x1823c7dfbc54f0d7 + .quad 0xbb1d97036e29670b + .quad 0x0b24f48847ed4a57 + .quad 0xbf09fd11ed0c84a7 + .quad 0x63f071810d9f693a + .quad 0x21908c2d57cf8779 + .quad 0x3a5a7df28af64ba2 + .quad 0xdcdad4be511beac7 + .quad 0xa4538075ed26ccf2 + .quad 0xe19cff9f005f9a65 + .quad 0x34fcf74475481f63 + + // 2^208 * 6 * G + + .quad 0xc197e04c789767ca + .quad 0xb8714dcb38d9467d + .quad 0x55de888283f95fa8 + .quad 0x3d3bdc164dfa63f7 + .quad 0xa5bb1dab78cfaa98 + .quad 0x5ceda267190b72f2 + .quad 0x9309c9110a92608e + .quad 0x0119a3042fb374b0 + .quad 0x67a2d89ce8c2177d + .quad 0x669da5f66895d0c1 + .quad 0xf56598e5b282a2b0 + .quad 0x56c088f1ede20a73 + + // 2^208 * 7 * G + + .quad 0x336d3d1110a86e17 + .quad 0xd7f388320b75b2fa + .quad 0xf915337625072988 + .quad 0x09674c6b99108b87 + .quad 0x581b5fac24f38f02 + .quad 0xa90be9febae30cbd + .quad 0x9a2169028acf92f0 + .quad 0x038b7ea48359038f + .quad 0x9f4ef82199316ff8 + .quad 0x2f49d282eaa78d4f + .quad 0x0971a5ab5aef3174 + .quad 0x6e5e31025969eb65 + + // 2^208 * 8 * G + + .quad 0xb16c62f587e593fb + .quad 0x4999eddeca5d3e71 + .quad 0xb491c1e014cc3e6d + .quad 0x08f5114789a8dba8 + .quad 0x3304fb0e63066222 + .quad 0xfb35068987acba3f + .quad 0xbd1924778c1061a3 + .quad 0x3058ad43d1838620 + .quad 0x323c0ffde57663d0 + .quad 0x05c3df38a22ea610 + .quad 0xbdc78abdac994f9a + .quad 0x26549fa4efe3dc99 + + // 2^212 * 1 * G + + .quad 0x738b38d787ce8f89 + .quad 0xb62658e24179a88d + .quad 0x30738c9cf151316d + .quad 0x49128c7f727275c9 + .quad 0x04dbbc17f75396b9 + .quad 0x69e6a2d7d2f86746 + .quad 0xc6409d99f53eabc6 + .quad 0x606175f6332e25d2 + .quad 0x4021370ef540e7dd + .quad 0x0910d6f5a1f1d0a5 + .quad 0x4634aacd5b06b807 + .quad 0x6a39e6356944f235 + + // 2^212 * 2 * G + + .quad 0x96cd5640df90f3e7 + .quad 0x6c3a760edbfa25ea + .quad 0x24f3ef0959e33cc4 + .quad 0x42889e7e530d2e58 + .quad 0x1da1965774049e9d + .quad 0xfbcd6ea198fe352b + .quad 0xb1cbcd50cc5236a6 + .quad 0x1f5ec83d3f9846e2 + .quad 0x8efb23c3328ccb75 + .quad 0xaf42a207dd876ee9 + .quad 0x20fbdadc5dfae796 + .quad 0x241e246b06bf9f51 + + // 2^212 * 3 * G + + .quad 0x29e68e57ad6e98f6 + .quad 0x4c9260c80b462065 + .quad 0x3f00862ea51ebb4b + .quad 0x5bc2c77fb38d9097 + .quad 0x7eaafc9a6280bbb8 + .quad 0x22a70f12f403d809 + .quad 0x31ce40bb1bfc8d20 + .quad 0x2bc65635e8bd53ee + .quad 0xe8d5dc9fa96bad93 + .quad 0xe58fb17dde1947dc + .quad 0x681532ea65185fa3 + .quad 0x1fdd6c3b034a7830 + + // 2^212 * 4 * G + + .quad 0x0a64e28c55dc18fe + .quad 0xe3df9e993399ebdd + .quad 0x79ac432370e2e652 + .quad 0x35ff7fc33ae4cc0e + .quad 0x9c13a6a52dd8f7a9 + .quad 0x2dbb1f8c3efdcabf + .quad 0x961e32405e08f7b5 + .quad 0x48c8a121bbe6c9e5 + .quad 0xfc415a7c59646445 + .quad 0xd224b2d7c128b615 + .quad 0x6035c9c905fbb912 + .quad 0x42d7a91274429fab + + // 2^212 * 5 * G + + .quad 0x4e6213e3eaf72ed3 + .quad 0x6794981a43acd4e7 + .quad 0xff547cde6eb508cb + .quad 0x6fed19dd10fcb532 + .quad 0xa9a48947933da5bc + .quad 0x4a58920ec2e979ec + .quad 0x96d8800013e5ac4c + .quad 0x453692d74b48b147 + .quad 0xdd775d99a8559c6f + .quad 0xf42a2140df003e24 + .quad 0x5223e229da928a66 + .quad 0x063f46ba6d38f22c + + // 2^212 * 6 * G + + .quad 0xd2d242895f536694 + .quad 0xca33a2c542939b2c + .quad 0x986fada6c7ddb95c + .quad 0x5a152c042f712d5d + .quad 0x39843cb737346921 + .quad 0xa747fb0738c89447 + .quad 0xcb8d8031a245307e + .quad 0x67810f8e6d82f068 + .quad 0x3eeb8fbcd2287db4 + .quad 0x72c7d3a301a03e93 + .quad 0x5473e88cbd98265a + .quad 0x7324aa515921b403 + + // 2^212 * 7 * G + + .quad 0x857942f46c3cbe8e + .quad 0xa1d364b14730c046 + .quad 0x1c8ed914d23c41bf + .quad 0x0838e161eef6d5d2 + .quad 0xad23f6dae82354cb + .quad 0x6962502ab6571a6d + .quad 0x9b651636e38e37d1 + .quad 0x5cac5005d1a3312f + .quad 0x8cc154cce9e39904 + .quad 0x5b3a040b84de6846 + .quad 0xc4d8a61cb1be5d6e + .quad 0x40fb897bd8861f02 + + // 2^212 * 8 * G + + .quad 0x84c5aa9062de37a1 + .quad 0x421da5000d1d96e1 + .quad 0x788286306a9242d9 + .quad 0x3c5e464a690d10da + .quad 0xe57ed8475ab10761 + .quad 0x71435e206fd13746 + .quad 0x342f824ecd025632 + .quad 0x4b16281ea8791e7b + .quad 0xd1c101d50b813381 + .quad 0xdee60f1176ee6828 + .quad 0x0cb68893383f6409 + .quad 0x6183c565f6ff484a + + // 2^216 * 1 * G + + .quad 0x741d5a461e6bf9d6 + .quad 0x2305b3fc7777a581 + .quad 0xd45574a26474d3d9 + .quad 0x1926e1dc6401e0ff + .quad 0xdb468549af3f666e + .quad 0xd77fcf04f14a0ea5 + .quad 0x3df23ff7a4ba0c47 + .quad 0x3a10dfe132ce3c85 + .quad 0xe07f4e8aea17cea0 + .quad 0x2fd515463a1fc1fd + .quad 0x175322fd31f2c0f1 + .quad 0x1fa1d01d861e5d15 + + // 2^216 * 2 * G + + .quad 0xcc8055947d599832 + .quad 0x1e4656da37f15520 + .quad 0x99f6f7744e059320 + .quad 0x773563bc6a75cf33 + .quad 0x38dcac00d1df94ab + .quad 0x2e712bddd1080de9 + .quad 0x7f13e93efdd5e262 + .quad 0x73fced18ee9a01e5 + .quad 0x06b1e90863139cb3 + .quad 0xa493da67c5a03ecd + .quad 0x8d77cec8ad638932 + .quad 0x1f426b701b864f44 + + // 2^216 * 3 * G + + .quad 0xefc9264c41911c01 + .quad 0xf1a3b7b817a22c25 + .quad 0x5875da6bf30f1447 + .quad 0x4e1af5271d31b090 + .quad 0xf17e35c891a12552 + .quad 0xb76b8153575e9c76 + .quad 0xfa83406f0d9b723e + .quad 0x0b76bb1b3fa7e438 + .quad 0x08b8c1f97f92939b + .quad 0xbe6771cbd444ab6e + .quad 0x22e5646399bb8017 + .quad 0x7b6dd61eb772a955 + + // 2^216 * 4 * G + + .quad 0xb7adc1e850f33d92 + .quad 0x7998fa4f608cd5cf + .quad 0xad962dbd8dfc5bdb + .quad 0x703e9bceaf1d2f4f + .quad 0x5730abf9ab01d2c7 + .quad 0x16fb76dc40143b18 + .quad 0x866cbe65a0cbb281 + .quad 0x53fa9b659bff6afe + .quad 0x6c14c8e994885455 + .quad 0x843a5d6665aed4e5 + .quad 0x181bb73ebcd65af1 + .quad 0x398d93e5c4c61f50 + + // 2^216 * 5 * G + + .quad 0x1c4bd16733e248f3 + .quad 0xbd9e128715bf0a5f + .quad 0xd43f8cf0a10b0376 + .quad 0x53b09b5ddf191b13 + .quad 0xc3877c60d2e7e3f2 + .quad 0x3b34aaa030828bb1 + .quad 0x283e26e7739ef138 + .quad 0x699c9c9002c30577 + .quad 0xf306a7235946f1cc + .quad 0x921718b5cce5d97d + .quad 0x28cdd24781b4e975 + .quad 0x51caf30c6fcdd907 + + // 2^216 * 6 * G + + .quad 0xa60ba7427674e00a + .quad 0x630e8570a17a7bf3 + .quad 0x3758563dcf3324cc + .quad 0x5504aa292383fdaa + .quad 0x737af99a18ac54c7 + .quad 0x903378dcc51cb30f + .quad 0x2b89bc334ce10cc7 + .quad 0x12ae29c189f8e99a + .quad 0xa99ec0cb1f0d01cf + .quad 0x0dd1efcc3a34f7ae + .quad 0x55ca7521d09c4e22 + .quad 0x5fd14fe958eba5ea + + // 2^216 * 7 * G + + .quad 0xb5dc2ddf2845ab2c + .quad 0x069491b10a7fe993 + .quad 0x4daaf3d64002e346 + .quad 0x093ff26e586474d1 + .quad 0x3c42fe5ebf93cb8e + .quad 0xbedfa85136d4565f + .quad 0xe0f0859e884220e8 + .quad 0x7dd73f960725d128 + .quad 0xb10d24fe68059829 + .quad 0x75730672dbaf23e5 + .quad 0x1367253ab457ac29 + .quad 0x2f59bcbc86b470a4 + + // 2^216 * 8 * G + + .quad 0x83847d429917135f + .quad 0xad1b911f567d03d7 + .quad 0x7e7748d9be77aad1 + .quad 0x5458b42e2e51af4a + .quad 0x7041d560b691c301 + .quad 0x85201b3fadd7e71e + .quad 0x16c2e16311335585 + .quad 0x2aa55e3d010828b1 + .quad 0xed5192e60c07444f + .quad 0x42c54e2d74421d10 + .quad 0x352b4c82fdb5c864 + .quad 0x13e9004a8a768664 + + // 2^220 * 1 * G + + .quad 0xcbb5b5556c032bff + .quad 0xdf7191b729297a3a + .quad 0xc1ff7326aded81bb + .quad 0x71ade8bb68be03f5 + .quad 0x1e6284c5806b467c + .quad 0xc5f6997be75d607b + .quad 0x8b67d958b378d262 + .quad 0x3d88d66a81cd8b70 + .quad 0x8b767a93204ed789 + .quad 0x762fcacb9fa0ae2a + .quad 0x771febcc6dce4887 + .quad 0x343062158ff05fb3 + + // 2^220 * 2 * G + + .quad 0xe05da1a7e1f5bf49 + .quad 0x26457d6dd4736092 + .quad 0x77dcb07773cc32f6 + .quad 0x0a5d94969cdd5fcd + .quad 0xfce219072a7b31b4 + .quad 0x4d7adc75aa578016 + .quad 0x0ec276a687479324 + .quad 0x6d6d9d5d1fda4beb + .quad 0x22b1a58ae9b08183 + .quad 0xfd95d071c15c388b + .quad 0xa9812376850a0517 + .quad 0x33384cbabb7f335e + + // 2^220 * 3 * G + + .quad 0x3c6fa2680ca2c7b5 + .quad 0x1b5082046fb64fda + .quad 0xeb53349c5431d6de + .quad 0x5278b38f6b879c89 + .quad 0x33bc627a26218b8d + .quad 0xea80b21fc7a80c61 + .quad 0x9458b12b173e9ee6 + .quad 0x076247be0e2f3059 + .quad 0x52e105f61416375a + .quad 0xec97af3685abeba4 + .quad 0x26e6b50623a67c36 + .quad 0x5cf0e856f3d4fb01 + + // 2^220 * 4 * G + + .quad 0xf6c968731ae8cab4 + .quad 0x5e20741ecb4f92c5 + .quad 0x2da53be58ccdbc3e + .quad 0x2dddfea269970df7 + .quad 0xbeaece313db342a8 + .quad 0xcba3635b842db7ee + .quad 0xe88c6620817f13ef + .quad 0x1b9438aa4e76d5c6 + .quad 0x8a50777e166f031a + .quad 0x067b39f10fb7a328 + .quad 0x1925c9a6010fbd76 + .quad 0x6df9b575cc740905 + + // 2^220 * 5 * G + + .quad 0x42c1192927f6bdcf + .quad 0x8f91917a403d61ca + .quad 0xdc1c5a668b9e1f61 + .quad 0x1596047804ec0f8d + .quad 0xecdfc35b48cade41 + .quad 0x6a88471fb2328270 + .quad 0x740a4a2440a01b6a + .quad 0x471e5796003b5f29 + .quad 0xda96bbb3aced37ac + .quad 0x7a2423b5e9208cea + .quad 0x24cc5c3038aebae2 + .quad 0x50c356afdc5dae2f + + // 2^220 * 6 * G + + .quad 0x09dcbf4341c30318 + .quad 0xeeba061183181dce + .quad 0xc179c0cedc1e29a1 + .quad 0x1dbf7b89073f35b0 + .quad 0xcfed9cdf1b31b964 + .quad 0xf486a9858ca51af3 + .quad 0x14897265ea8c1f84 + .quad 0x784a53dd932acc00 + .quad 0x2d99f9df14fc4920 + .quad 0x76ccb60cc4499fe5 + .quad 0xa4132cbbe5cf0003 + .quad 0x3f93d82354f000ea + + // 2^220 * 7 * G + + .quad 0x8183e7689e04ce85 + .quad 0x678fb71e04465341 + .quad 0xad92058f6688edac + .quad 0x5da350d3532b099a + .quad 0xeaac12d179e14978 + .quad 0xff923ff3bbebff5e + .quad 0x4af663e40663ce27 + .quad 0x0fd381a811a5f5ff + .quad 0xf256aceca436df54 + .quad 0x108b6168ae69d6e8 + .quad 0x20d986cb6b5d036c + .quad 0x655957b9fee2af50 + + // 2^220 * 8 * G + + .quad 0xaea8b07fa902030f + .quad 0xf88c766af463d143 + .quad 0x15b083663c787a60 + .quad 0x08eab1148267a4a8 + .quad 0xbdc1409bd002d0ac + .quad 0x66660245b5ccd9a6 + .quad 0x82317dc4fade85ec + .quad 0x02fe934b6ad7df0d + .quad 0xef5cf100cfb7ea74 + .quad 0x22897633a1cb42ac + .quad 0xd4ce0c54cef285e2 + .quad 0x30408c048a146a55 + + // 2^224 * 1 * G + + .quad 0x739d8845832fcedb + .quad 0xfa38d6c9ae6bf863 + .quad 0x32bc0dcab74ffef7 + .quad 0x73937e8814bce45e + .quad 0xbb2e00c9193b877f + .quad 0xece3a890e0dc506b + .quad 0xecf3b7c036de649f + .quad 0x5f46040898de9e1a + .quad 0xb9037116297bf48d + .quad 0xa9d13b22d4f06834 + .quad 0xe19715574696bdc6 + .quad 0x2cf8a4e891d5e835 + + // 2^224 * 2 * G + + .quad 0x6d93fd8707110f67 + .quad 0xdd4c09d37c38b549 + .quad 0x7cb16a4cc2736a86 + .quad 0x2049bd6e58252a09 + .quad 0x2cb5487e17d06ba2 + .quad 0x24d2381c3950196b + .quad 0xd7659c8185978a30 + .quad 0x7a6f7f2891d6a4f6 + .quad 0x7d09fd8d6a9aef49 + .quad 0xf0ee60be5b3db90b + .quad 0x4c21b52c519ebfd4 + .quad 0x6011aadfc545941d + + // 2^224 * 3 * G + + .quad 0x5f67926dcf95f83c + .quad 0x7c7e856171289071 + .quad 0xd6a1e7f3998f7a5b + .quad 0x6fc5cc1b0b62f9e0 + .quad 0x63ded0c802cbf890 + .quad 0xfbd098ca0dff6aaa + .quad 0x624d0afdb9b6ed99 + .quad 0x69ce18b779340b1e + .quad 0xd1ef5528b29879cb + .quad 0xdd1aae3cd47e9092 + .quad 0x127e0442189f2352 + .quad 0x15596b3ae57101f1 + + // 2^224 * 4 * G + + .quad 0x462739d23f9179a2 + .quad 0xff83123197d6ddcf + .quad 0x1307deb553f2148a + .quad 0x0d2237687b5f4dda + .quad 0x09ff31167e5124ca + .quad 0x0be4158bd9c745df + .quad 0x292b7d227ef556e5 + .quad 0x3aa4e241afb6d138 + .quad 0x2cc138bf2a3305f5 + .quad 0x48583f8fa2e926c3 + .quad 0x083ab1a25549d2eb + .quad 0x32fcaa6e4687a36c + + // 2^224 * 5 * G + + .quad 0x7bc56e8dc57d9af5 + .quad 0x3e0bd2ed9df0bdf2 + .quad 0xaac014de22efe4a3 + .quad 0x4627e9cefebd6a5c + .quad 0x3207a4732787ccdf + .quad 0x17e31908f213e3f8 + .quad 0xd5b2ecd7f60d964e + .quad 0x746f6336c2600be9 + .quad 0x3f4af345ab6c971c + .quad 0xe288eb729943731f + .quad 0x33596a8a0344186d + .quad 0x7b4917007ed66293 + + // 2^224 * 6 * G + + .quad 0x2d85fb5cab84b064 + .quad 0x497810d289f3bc14 + .quad 0x476adc447b15ce0c + .quad 0x122ba376f844fd7b + .quad 0x54341b28dd53a2dd + .quad 0xaa17905bdf42fc3f + .quad 0x0ff592d94dd2f8f4 + .quad 0x1d03620fe08cd37d + .quad 0xc20232cda2b4e554 + .quad 0x9ed0fd42115d187f + .quad 0x2eabb4be7dd479d9 + .quad 0x02c70bf52b68ec4c + + // 2^224 * 7 * G + + .quad 0xa287ec4b5d0b2fbb + .quad 0x415c5790074882ca + .quad 0xe044a61ec1d0815c + .quad 0x26334f0a409ef5e0 + .quad 0xace532bf458d72e1 + .quad 0x5be768e07cb73cb5 + .quad 0x56cf7d94ee8bbde7 + .quad 0x6b0697e3feb43a03 + .quad 0xb6c8f04adf62a3c0 + .quad 0x3ef000ef076da45d + .quad 0x9c9cb95849f0d2a9 + .quad 0x1cc37f43441b2fae + + // 2^224 * 8 * G + + .quad 0x508f565a5cc7324f + .quad 0xd061c4c0e506a922 + .quad 0xfb18abdb5c45ac19 + .quad 0x6c6809c10380314a + .quad 0xd76656f1c9ceaeb9 + .quad 0x1c5b15f818e5656a + .quad 0x26e72832844c2334 + .quad 0x3a346f772f196838 + .quad 0xd2d55112e2da6ac8 + .quad 0xe9bd0331b1e851ed + .quad 0x960746dd8ec67262 + .quad 0x05911b9f6ef7c5d0 + + // 2^228 * 1 * G + + .quad 0xe9dcd756b637ff2d + .quad 0xec4c348fc987f0c4 + .quad 0xced59285f3fbc7b7 + .quad 0x3305354793e1ea87 + .quad 0x01c18980c5fe9f94 + .quad 0xcd656769716fd5c8 + .quad 0x816045c3d195a086 + .quad 0x6e2b7f3266cc7982 + .quad 0xcc802468f7c3568f + .quad 0x9de9ba8219974cb3 + .quad 0xabb7229cb5b81360 + .quad 0x44e2017a6fbeba62 + + // 2^228 * 2 * G + + .quad 0xc4c2a74354dab774 + .quad 0x8e5d4c3c4eaf031a + .quad 0xb76c23d242838f17 + .quad 0x749a098f68dce4ea + .quad 0x87f82cf3b6ca6ecd + .quad 0x580f893e18f4a0c2 + .quad 0x058930072604e557 + .quad 0x6cab6ac256d19c1d + .quad 0xdcdfe0a02cc1de60 + .quad 0x032665ff51c5575b + .quad 0x2c0c32f1073abeeb + .quad 0x6a882014cd7b8606 + + // 2^228 * 3 * G + + .quad 0xa52a92fea4747fb5 + .quad 0xdc12a4491fa5ab89 + .quad 0xd82da94bb847a4ce + .quad 0x4d77edce9512cc4e + .quad 0xd111d17caf4feb6e + .quad 0x050bba42b33aa4a3 + .quad 0x17514c3ceeb46c30 + .quad 0x54bedb8b1bc27d75 + .quad 0x77c8e14577e2189c + .quad 0xa3e46f6aff99c445 + .quad 0x3144dfc86d335343 + .quad 0x3a96559e7c4216a9 + + // 2^228 * 4 * G + + .quad 0x12550d37f42ad2ee + .quad 0x8b78e00498a1fbf5 + .quad 0x5d53078233894cb2 + .quad 0x02c84e4e3e498d0c + .quad 0x4493896880baaa52 + .quad 0x4c98afc4f285940e + .quad 0xef4aa79ba45448b6 + .quad 0x5278c510a57aae7f + .quad 0xa54dd074294c0b94 + .quad 0xf55d46b8df18ffb6 + .quad 0xf06fecc58dae8366 + .quad 0x588657668190d165 + + // 2^228 * 5 * G + + .quad 0xd47712311aef7117 + .quad 0x50343101229e92c7 + .quad 0x7a95e1849d159b97 + .quad 0x2449959b8b5d29c9 + .quad 0xbf5834f03de25cc3 + .quad 0xb887c8aed6815496 + .quad 0x5105221a9481e892 + .quad 0x6760ed19f7723f93 + .quad 0x669ba3b7ac35e160 + .quad 0x2eccf73fba842056 + .quad 0x1aec1f17c0804f07 + .quad 0x0d96bc031856f4e7 + + // 2^228 * 6 * G + + .quad 0x3318be7775c52d82 + .quad 0x4cb764b554d0aab9 + .quad 0xabcf3d27cc773d91 + .quad 0x3bf4d1848123288a + .quad 0xb1d534b0cc7505e1 + .quad 0x32cd003416c35288 + .quad 0xcb36a5800762c29d + .quad 0x5bfe69b9237a0bf8 + .quad 0x183eab7e78a151ab + .quad 0xbbe990c999093763 + .quad 0xff717d6e4ac7e335 + .quad 0x4c5cddb325f39f88 + + // 2^228 * 7 * G + + .quad 0xc0f6b74d6190a6eb + .quad 0x20ea81a42db8f4e4 + .quad 0xa8bd6f7d97315760 + .quad 0x33b1d60262ac7c21 + .quad 0x57750967e7a9f902 + .quad 0x2c37fdfc4f5b467e + .quad 0xb261663a3177ba46 + .quad 0x3a375e78dc2d532b + .quad 0x8141e72f2d4dddea + .quad 0xe6eafe9862c607c8 + .quad 0x23c28458573cafd0 + .quad 0x46b9476f4ff97346 + + // 2^228 * 8 * G + + .quad 0x0c1ffea44f901e5c + .quad 0x2b0b6fb72184b782 + .quad 0xe587ff910114db88 + .quad 0x37130f364785a142 + .quad 0x1215505c0d58359f + .quad 0x2a2013c7fc28c46b + .quad 0x24a0a1af89ea664e + .quad 0x4400b638a1130e1f + .quad 0x3a01b76496ed19c3 + .quad 0x31e00ab0ed327230 + .quad 0x520a885783ca15b1 + .quad 0x06aab9875accbec7 + + // 2^232 * 1 * G + + .quad 0xc1339983f5df0ebb + .quad 0xc0f3758f512c4cac + .quad 0x2cf1130a0bb398e1 + .quad 0x6b3cecf9aa270c62 + .quad 0x5349acf3512eeaef + .quad 0x20c141d31cc1cb49 + .quad 0x24180c07a99a688d + .quad 0x555ef9d1c64b2d17 + .quad 0x36a770ba3b73bd08 + .quad 0x624aef08a3afbf0c + .quad 0x5737ff98b40946f2 + .quad 0x675f4de13381749d + + // 2^232 * 2 * G + + .quad 0x0e2c52036b1782fc + .quad 0x64816c816cad83b4 + .quad 0xd0dcbdd96964073e + .quad 0x13d99df70164c520 + .quad 0xa12ff6d93bdab31d + .quad 0x0725d80f9d652dfe + .quad 0x019c4ff39abe9487 + .quad 0x60f450b882cd3c43 + .quad 0x014b5ec321e5c0ca + .quad 0x4fcb69c9d719bfa2 + .quad 0x4e5f1c18750023a0 + .quad 0x1c06de9e55edac80 + + // 2^232 * 3 * G + + .quad 0x990f7ad6a33ec4e2 + .quad 0x6608f938be2ee08e + .quad 0x9ca143c563284515 + .quad 0x4cf38a1fec2db60d + .quad 0xffd52b40ff6d69aa + .quad 0x34530b18dc4049bb + .quad 0x5e4a5c2fa34d9897 + .quad 0x78096f8e7d32ba2d + .quad 0xa0aaaa650dfa5ce7 + .quad 0xf9c49e2a48b5478c + .quad 0x4f09cc7d7003725b + .quad 0x373cad3a26091abe + + // 2^232 * 4 * G + + .quad 0xb294634d82c9f57c + .quad 0x1fcbfde124934536 + .quad 0x9e9c4db3418cdb5a + .quad 0x0040f3d9454419fc + .quad 0xf1bea8fb89ddbbad + .quad 0x3bcb2cbc61aeaecb + .quad 0x8f58a7bb1f9b8d9d + .quad 0x21547eda5112a686 + .quad 0xdefde939fd5986d3 + .quad 0xf4272c89510a380c + .quad 0xb72ba407bb3119b9 + .quad 0x63550a334a254df4 + + // 2^232 * 5 * G + + .quad 0x6507d6edb569cf37 + .quad 0x178429b00ca52ee1 + .quad 0xea7c0090eb6bd65d + .quad 0x3eea62c7daf78f51 + .quad 0x9bba584572547b49 + .quad 0xf305c6fae2c408e0 + .quad 0x60e8fa69c734f18d + .quad 0x39a92bafaa7d767a + .quad 0x9d24c713e693274e + .quad 0x5f63857768dbd375 + .quad 0x70525560eb8ab39a + .quad 0x68436a0665c9c4cd + + // 2^232 * 6 * G + + .quad 0xbc0235e8202f3f27 + .quad 0xc75c00e264f975b0 + .quad 0x91a4e9d5a38c2416 + .quad 0x17b6e7f68ab789f9 + .quad 0x1e56d317e820107c + .quad 0xc5266844840ae965 + .quad 0xc1e0a1c6320ffc7a + .quad 0x5373669c91611472 + .quad 0x5d2814ab9a0e5257 + .quad 0x908f2084c9cab3fc + .quad 0xafcaf5885b2d1eca + .quad 0x1cb4b5a678f87d11 + + // 2^232 * 7 * G + + .quad 0xb664c06b394afc6c + .quad 0x0c88de2498da5fb1 + .quad 0x4f8d03164bcad834 + .quad 0x330bca78de7434a2 + .quad 0x6b74aa62a2a007e7 + .quad 0xf311e0b0f071c7b1 + .quad 0x5707e438000be223 + .quad 0x2dc0fd2d82ef6eac + .quad 0x982eff841119744e + .quad 0xf9695e962b074724 + .quad 0xc58ac14fbfc953fb + .quad 0x3c31be1b369f1cf5 + + // 2^232 * 8 * G + + .quad 0xb0f4864d08948aee + .quad 0x07dc19ee91ba1c6f + .quad 0x7975cdaea6aca158 + .quad 0x330b61134262d4bb + .quad 0xc168bc93f9cb4272 + .quad 0xaeb8711fc7cedb98 + .quad 0x7f0e52aa34ac8d7a + .quad 0x41cec1097e7d55bb + .quad 0xf79619d7a26d808a + .quad 0xbb1fd49e1d9e156d + .quad 0x73d7c36cdba1df27 + .quad 0x26b44cd91f28777d + + // 2^236 * 1 * G + + .quad 0x300a9035393aa6d8 + .quad 0x2b501131a12bb1cd + .quad 0x7b1ff677f093c222 + .quad 0x4309c1f8cab82bad + .quad 0xaf44842db0285f37 + .quad 0x8753189047efc8df + .quad 0x9574e091f820979a + .quad 0x0e378d6069615579 + .quad 0xd9fa917183075a55 + .quad 0x4bdb5ad26b009fdc + .quad 0x7829ad2cd63def0e + .quad 0x078fc54975fd3877 + + // 2^236 * 2 * G + + .quad 0x87dfbd1428878f2d + .quad 0x134636dd1e9421a1 + .quad 0x4f17c951257341a3 + .quad 0x5df98d4bad296cb8 + .quad 0xe2004b5bb833a98a + .quad 0x44775dec2d4c3330 + .quad 0x3aa244067eace913 + .quad 0x272630e3d58e00a9 + .quad 0xf3678fd0ecc90b54 + .quad 0xf001459b12043599 + .quad 0x26725fbc3758b89b + .quad 0x4325e4aa73a719ae + + // 2^236 * 3 * G + + .quad 0x657dc6ef433c3493 + .quad 0x65375e9f80dbf8c3 + .quad 0x47fd2d465b372dae + .quad 0x4966ab79796e7947 + .quad 0xed24629acf69f59d + .quad 0x2a4a1ccedd5abbf4 + .quad 0x3535ca1f56b2d67b + .quad 0x5d8c68d043b1b42d + .quad 0xee332d4de3b42b0a + .quad 0xd84e5a2b16a4601c + .quad 0x78243877078ba3e4 + .quad 0x77ed1eb4184ee437 + + // 2^236 * 4 * G + + .quad 0xbfd4e13f201839a0 + .quad 0xaeefffe23e3df161 + .quad 0xb65b04f06b5d1fe3 + .quad 0x52e085fb2b62fbc0 + .quad 0x185d43f89e92ed1a + .quad 0xb04a1eeafe4719c6 + .quad 0x499fbe88a6f03f4f + .quad 0x5d8b0d2f3c859bdd + .quad 0x124079eaa54cf2ba + .quad 0xd72465eb001b26e7 + .quad 0x6843bcfdc97af7fd + .quad 0x0524b42b55eacd02 + + // 2^236 * 5 * G + + .quad 0xfd0d5dbee45447b0 + .quad 0x6cec351a092005ee + .quad 0x99a47844567579cb + .quad 0x59d242a216e7fa45 + .quad 0xbc18dcad9b829eac + .quad 0x23ae7d28b5f579d0 + .quad 0xc346122a69384233 + .quad 0x1a6110b2e7d4ac89 + .quad 0x4f833f6ae66997ac + .quad 0x6849762a361839a4 + .quad 0x6985dec1970ab525 + .quad 0x53045e89dcb1f546 + + // 2^236 * 6 * G + + .quad 0xcb8bb346d75353db + .quad 0xfcfcb24bae511e22 + .quad 0xcba48d40d50ae6ef + .quad 0x26e3bae5f4f7cb5d + .quad 0x84da3cde8d45fe12 + .quad 0xbd42c218e444e2d2 + .quad 0xa85196781f7e3598 + .quad 0x7642c93f5616e2b2 + .quad 0x2323daa74595f8e4 + .quad 0xde688c8b857abeb4 + .quad 0x3fc48e961c59326e + .quad 0x0b2e73ca15c9b8ba + + // 2^236 * 7 * G + + .quad 0xd6bb4428c17f5026 + .quad 0x9eb27223fb5a9ca7 + .quad 0xe37ba5031919c644 + .quad 0x21ce380db59a6602 + .quad 0x0e3fbfaf79c03a55 + .quad 0x3077af054cbb5acf + .quad 0xd5c55245db3de39f + .quad 0x015e68c1476a4af7 + .quad 0xc1d5285220066a38 + .quad 0x95603e523570aef3 + .quad 0x832659a7226b8a4d + .quad 0x5dd689091f8eedc9 + + // 2^236 * 8 * G + + .quad 0xcbac84debfd3c856 + .quad 0x1624c348b35ff244 + .quad 0xb7f88dca5d9cad07 + .quad 0x3b0e574da2c2ebe8 + .quad 0x1d022591a5313084 + .quad 0xca2d4aaed6270872 + .quad 0x86a12b852f0bfd20 + .quad 0x56e6c439ad7da748 + .quad 0xc704ff4942bdbae6 + .quad 0x5e21ade2b2de1f79 + .quad 0xe95db3f35652fad8 + .quad 0x0822b5378f08ebc1 + + // 2^240 * 1 * G + + .quad 0x51f048478f387475 + .quad 0xb25dbcf49cbecb3c + .quad 0x9aab1244d99f2055 + .quad 0x2c709e6c1c10a5d6 + .quad 0xe1b7f29362730383 + .quad 0x4b5279ffebca8a2c + .quad 0xdafc778abfd41314 + .quad 0x7deb10149c72610f + .quad 0xcb62af6a8766ee7a + .quad 0x66cbec045553cd0e + .quad 0x588001380f0be4b5 + .quad 0x08e68e9ff62ce2ea + + // 2^240 * 2 * G + + .quad 0x34ad500a4bc130ad + .quad 0x8d38db493d0bd49c + .quad 0xa25c3d98500a89be + .quad 0x2f1f3f87eeba3b09 + .quad 0x2f2d09d50ab8f2f9 + .quad 0xacb9218dc55923df + .quad 0x4a8f342673766cb9 + .quad 0x4cb13bd738f719f5 + .quad 0xf7848c75e515b64a + .quad 0xa59501badb4a9038 + .quad 0xc20d313f3f751b50 + .quad 0x19a1e353c0ae2ee8 + + // 2^240 * 3 * G + + .quad 0x7d1c7560bafa05c3 + .quad 0xb3e1a0a0c6e55e61 + .quad 0xe3529718c0d66473 + .quad 0x41546b11c20c3486 + .quad 0xb42172cdd596bdbd + .quad 0x93e0454398eefc40 + .quad 0x9fb15347b44109b5 + .quad 0x736bd3990266ae34 + .quad 0x85532d509334b3b4 + .quad 0x46fd114b60816573 + .quad 0xcc5f5f30425c8375 + .quad 0x412295a2b87fab5c + + // 2^240 * 4 * G + + .quad 0x19c99b88f57ed6e9 + .quad 0x5393cb266df8c825 + .quad 0x5cee3213b30ad273 + .quad 0x14e153ebb52d2e34 + .quad 0x2e655261e293eac6 + .quad 0x845a92032133acdb + .quad 0x460975cb7900996b + .quad 0x0760bb8d195add80 + .quad 0x413e1a17cde6818a + .quad 0x57156da9ed69a084 + .quad 0x2cbf268f46caccb1 + .quad 0x6b34be9bc33ac5f2 + + // 2^240 * 5 * G + + .quad 0xf3df2f643a78c0b2 + .quad 0x4c3e971ef22e027c + .quad 0xec7d1c5e49c1b5a3 + .quad 0x2012c18f0922dd2d + .quad 0x11fc69656571f2d3 + .quad 0xc6c9e845530e737a + .quad 0xe33ae7a2d4fe5035 + .quad 0x01b9c7b62e6dd30b + .quad 0x880b55e55ac89d29 + .quad 0x1483241f45a0a763 + .quad 0x3d36efdfc2e76c1f + .quad 0x08af5b784e4bade8 + + // 2^240 * 6 * G + + .quad 0x283499dc881f2533 + .quad 0x9d0525da779323b6 + .quad 0x897addfb673441f4 + .quad 0x32b79d71163a168d + .quad 0xe27314d289cc2c4b + .quad 0x4be4bd11a287178d + .quad 0x18d528d6fa3364ce + .quad 0x6423c1d5afd9826e + .quad 0xcc85f8d9edfcb36a + .quad 0x22bcc28f3746e5f9 + .quad 0xe49de338f9e5d3cd + .quad 0x480a5efbc13e2dcc + + // 2^240 * 7 * G + + .quad 0x0b51e70b01622071 + .quad 0x06b505cf8b1dafc5 + .quad 0x2c6bb061ef5aabcd + .quad 0x47aa27600cb7bf31 + .quad 0xb6614ce442ce221f + .quad 0x6e199dcc4c053928 + .quad 0x663fb4a4dc1cbe03 + .quad 0x24b31d47691c8e06 + .quad 0x2a541eedc015f8c3 + .quad 0x11a4fe7e7c693f7c + .quad 0xf0af66134ea278d6 + .quad 0x545b585d14dda094 + + // 2^240 * 8 * G + + .quad 0x67bf275ea0d43a0f + .quad 0xade68e34089beebe + .quad 0x4289134cd479e72e + .quad 0x0f62f9c332ba5454 + .quad 0x6204e4d0e3b321e1 + .quad 0x3baa637a28ff1e95 + .quad 0x0b0ccffd5b99bd9e + .quad 0x4d22dc3e64c8d071 + .quad 0xfcb46589d63b5f39 + .quad 0x5cae6a3f57cbcf61 + .quad 0xfebac2d2953afa05 + .quad 0x1c0fa01a36371436 + + // 2^244 * 1 * G + + .quad 0xe7547449bc7cd692 + .quad 0x0f9abeaae6f73ddf + .quad 0x4af01ca700837e29 + .quad 0x63ab1b5d3f1bc183 + .quad 0xc11ee5e854c53fae + .quad 0x6a0b06c12b4f3ff4 + .quad 0x33540f80e0b67a72 + .quad 0x15f18fc3cd07e3ef + .quad 0x32750763b028f48c + .quad 0x06020740556a065f + .quad 0xd53bd812c3495b58 + .quad 0x08706c9b865f508d + + // 2^244 * 2 * G + + .quad 0xf37ca2ab3d343dff + .quad 0x1a8c6a2d80abc617 + .quad 0x8e49e035d4ccffca + .quad 0x48b46beebaa1d1b9 + .quad 0xcc991b4138b41246 + .quad 0x243b9c526f9ac26b + .quad 0xb9ef494db7cbabbd + .quad 0x5fba433dd082ed00 + .quad 0x9c49e355c9941ad0 + .quad 0xb9734ade74498f84 + .quad 0x41c3fed066663e5c + .quad 0x0ecfedf8e8e710b3 + + // 2^244 * 3 * G + + .quad 0x76430f9f9cd470d9 + .quad 0xb62acc9ba42f6008 + .quad 0x1898297c59adad5e + .quad 0x7789dd2db78c5080 + .quad 0x744f7463e9403762 + .quad 0xf79a8dee8dfcc9c9 + .quad 0x163a649655e4cde3 + .quad 0x3b61788db284f435 + .quad 0xb22228190d6ef6b2 + .quad 0xa94a66b246ce4bfa + .quad 0x46c1a77a4f0b6cc7 + .quad 0x4236ccffeb7338cf + + // 2^244 * 4 * G + + .quad 0x8497404d0d55e274 + .quad 0x6c6663d9c4ad2b53 + .quad 0xec2fb0d9ada95734 + .quad 0x2617e120cdb8f73c + .quad 0x3bd82dbfda777df6 + .quad 0x71b177cc0b98369e + .quad 0x1d0e8463850c3699 + .quad 0x5a71945b48e2d1f1 + .quad 0x6f203dd5405b4b42 + .quad 0x327ec60410b24509 + .quad 0x9c347230ac2a8846 + .quad 0x77de29fc11ffeb6a + + // 2^244 * 5 * G + + .quad 0xb0ac57c983b778a8 + .quad 0x53cdcca9d7fe912c + .quad 0x61c2b854ff1f59dc + .quad 0x3a1a2cf0f0de7dac + .quad 0x835e138fecced2ca + .quad 0x8c9eaf13ea963b9a + .quad 0xc95fbfc0b2160ea6 + .quad 0x575e66f3ad877892 + .quad 0x99803a27c88fcb3a + .quad 0x345a6789275ec0b0 + .quad 0x459789d0ff6c2be5 + .quad 0x62f882651e70a8b2 + + // 2^244 * 6 * G + + .quad 0x085ae2c759ff1be4 + .quad 0x149145c93b0e40b7 + .quad 0xc467e7fa7ff27379 + .quad 0x4eeecf0ad5c73a95 + .quad 0x6d822986698a19e0 + .quad 0xdc9821e174d78a71 + .quad 0x41a85f31f6cb1f47 + .quad 0x352721c2bcda9c51 + .quad 0x48329952213fc985 + .quad 0x1087cf0d368a1746 + .quad 0x8e5261b166c15aa5 + .quad 0x2d5b2d842ed24c21 + + // 2^244 * 7 * G + + .quad 0x02cfebd9ebd3ded1 + .quad 0xd45b217739021974 + .quad 0x7576f813fe30a1b7 + .quad 0x5691b6f9a34ef6c2 + .quad 0x5eb7d13d196ac533 + .quad 0x377234ecdb80be2b + .quad 0xe144cffc7cf5ae24 + .quad 0x5226bcf9c441acec + .quad 0x79ee6c7223e5b547 + .quad 0x6f5f50768330d679 + .quad 0xed73e1e96d8adce9 + .quad 0x27c3da1e1d8ccc03 + + // 2^244 * 8 * G + + .quad 0x7eb9efb23fe24c74 + .quad 0x3e50f49f1651be01 + .quad 0x3ea732dc21858dea + .quad 0x17377bd75bb810f9 + .quad 0x28302e71630ef9f6 + .quad 0xc2d4a2032b64cee0 + .quad 0x090820304b6292be + .quad 0x5fca747aa82adf18 + .quad 0x232a03c35c258ea5 + .quad 0x86f23a2c6bcb0cf1 + .quad 0x3dad8d0d2e442166 + .quad 0x04a8933cab76862b + + // 2^248 * 1 * G + + .quad 0xd2c604b622943dff + .quad 0xbc8cbece44cfb3a0 + .quad 0x5d254ff397808678 + .quad 0x0fa3614f3b1ca6bf + .quad 0x69082b0e8c936a50 + .quad 0xf9c9a035c1dac5b6 + .quad 0x6fb73e54c4dfb634 + .quad 0x4005419b1d2bc140 + .quad 0xa003febdb9be82f0 + .quad 0x2089c1af3a44ac90 + .quad 0xf8499f911954fa8e + .quad 0x1fba218aef40ab42 + + // 2^248 * 2 * G + + .quad 0xab549448fac8f53e + .quad 0x81f6e89a7ba63741 + .quad 0x74fd6c7d6c2b5e01 + .quad 0x392e3acaa8c86e42 + .quad 0x4f3e57043e7b0194 + .quad 0xa81d3eee08daaf7f + .quad 0xc839c6ab99dcdef1 + .quad 0x6c535d13ff7761d5 + .quad 0x4cbd34e93e8a35af + .quad 0x2e0781445887e816 + .quad 0x19319c76f29ab0ab + .quad 0x25e17fe4d50ac13b + + // 2^248 * 3 * G + + .quad 0x0a289bd71e04f676 + .quad 0x208e1c52d6420f95 + .quad 0x5186d8b034691fab + .quad 0x255751442a9fb351 + .quad 0x915f7ff576f121a7 + .quad 0xc34a32272fcd87e3 + .quad 0xccba2fde4d1be526 + .quad 0x6bba828f8969899b + .quad 0xe2d1bc6690fe3901 + .quad 0x4cb54a18a0997ad5 + .quad 0x971d6914af8460d4 + .quad 0x559d504f7f6b7be4 + + // 2^248 * 4 * G + + .quad 0xa7738378b3eb54d5 + .quad 0x1d69d366a5553c7c + .quad 0x0a26cf62f92800ba + .quad 0x01ab12d5807e3217 + .quad 0x9c4891e7f6d266fd + .quad 0x0744a19b0307781b + .quad 0x88388f1d6061e23b + .quad 0x123ea6a3354bd50e + .quad 0x118d189041e32d96 + .quad 0xb9ede3c2d8315848 + .quad 0x1eab4271d83245d9 + .quad 0x4a3961e2c918a154 + + // 2^248 * 5 * G + + .quad 0x71dc3be0f8e6bba0 + .quad 0xd6cef8347effe30a + .quad 0xa992425fe13a476a + .quad 0x2cd6bce3fb1db763 + .quad 0x0327d644f3233f1e + .quad 0x499a260e34fcf016 + .quad 0x83b5a716f2dab979 + .quad 0x68aceead9bd4111f + .quad 0x38b4c90ef3d7c210 + .quad 0x308e6e24b7ad040c + .quad 0x3860d9f1b7e73e23 + .quad 0x595760d5b508f597 + + // 2^248 * 6 * G + + .quad 0x6129bfe104aa6397 + .quad 0x8f960008a4a7fccb + .quad 0x3f8bc0897d909458 + .quad 0x709fa43edcb291a9 + .quad 0x882acbebfd022790 + .quad 0x89af3305c4115760 + .quad 0x65f492e37d3473f4 + .quad 0x2cb2c5df54515a2b + .quad 0xeb0a5d8c63fd2aca + .quad 0xd22bc1662e694eff + .quad 0x2723f36ef8cbb03a + .quad 0x70f029ecf0c8131f + + // 2^248 * 7 * G + + .quad 0x461307b32eed3e33 + .quad 0xae042f33a45581e7 + .quad 0xc94449d3195f0366 + .quad 0x0b7d5d8a6c314858 + .quad 0x2a6aafaa5e10b0b9 + .quad 0x78f0a370ef041aa9 + .quad 0x773efb77aa3ad61f + .quad 0x44eca5a2a74bd9e1 + .quad 0x25d448327b95d543 + .quad 0x70d38300a3340f1d + .quad 0xde1c531c60e1c52b + .quad 0x272224512c7de9e4 + + // 2^248 * 8 * G + + .quad 0x1abc92af49c5342e + .quad 0xffeed811b2e6fad0 + .quad 0xefa28c8dfcc84e29 + .quad 0x11b5df18a44cc543 + .quad 0xbf7bbb8a42a975fc + .quad 0x8c5c397796ada358 + .quad 0xe27fc76fcdedaa48 + .quad 0x19735fd7f6bc20a6 + .quad 0xe3ab90d042c84266 + .quad 0xeb848e0f7f19547e + .quad 0x2503a1d065a497b9 + .quad 0x0fef911191df895f + + // 2^252 * 1 * G + + .quad 0xb1507ca1ab1c6eb9 + .quad 0xbd448f3e16b687b3 + .quad 0x3455fb7f2c7a91ab + .quad 0x7579229e2f2adec1 + .quad 0x6ab5dcb85b1c16b7 + .quad 0x94c0fce83c7b27a5 + .quad 0xa4b11c1a735517be + .quad 0x499238d0ba0eafaa + .quad 0xecf46e527aba8b57 + .quad 0x15a08c478bd1647b + .quad 0x7af1c6a65f706fef + .quad 0x6345fa78f03a30d5 + + // 2^252 * 2 * G + + .quad 0xdf02f95f1015e7a1 + .quad 0x790ec41da9b40263 + .quad 0x4d3a0ea133ea1107 + .quad 0x54f70be7e33af8c9 + .quad 0x93d3cbe9bdd8f0a4 + .quad 0xdb152c1bfd177302 + .quad 0x7dbddc6d7f17a875 + .quad 0x3e1a71cc8f426efe + .quad 0xc83ca3e390babd62 + .quad 0x80ede3670291c833 + .quad 0xc88038ccd37900c4 + .quad 0x2c5fc0231ec31fa1 + + // 2^252 * 3 * G + + .quad 0xfeba911717038b4f + .quad 0xe5123721c9deef81 + .quad 0x1c97e4e75d0d8834 + .quad 0x68afae7a23dc3bc6 + .quad 0xc422e4d102456e65 + .quad 0x87414ac1cad47b91 + .quad 0x1592e2bba2b6ffdd + .quad 0x75d9d2bff5c2100f + .quad 0x5bd9b4763626e81c + .quad 0x89966936bca02edd + .quad 0x0a41193d61f077b3 + .quad 0x3097a24200ce5471 + + // 2^252 * 4 * G + + .quad 0x57427734c7f8b84c + .quad 0xf141a13e01b270e9 + .quad 0x02d1adfeb4e564a6 + .quad 0x4bb23d92ce83bd48 + .quad 0xa162e7246695c486 + .quad 0x131d633435a89607 + .quad 0x30521561a0d12a37 + .quad 0x56704bada6afb363 + .quad 0xaf6c4aa752f912b9 + .quad 0x5e665f6cd86770c8 + .quad 0x4c35ac83a3c8cd58 + .quad 0x2b7a29c010a58a7e + + // 2^252 * 5 * G + + .quad 0xc4007f77d0c1cec3 + .quad 0x8d1020b6bac492f8 + .quad 0x32ec29d57e69daaf + .quad 0x599408759d95fce0 + .quad 0x33810a23bf00086e + .quad 0xafce925ee736ff7c + .quad 0x3d60e670e24922d4 + .quad 0x11ce9e714f96061b + .quad 0x219ef713d815bac1 + .quad 0xf141465d485be25c + .quad 0x6d5447cc4e513c51 + .quad 0x174926be5ef44393 + + // 2^252 * 6 * G + + .quad 0xb5deb2f9fc5bd5bb + .quad 0x92daa72ae1d810e1 + .quad 0xafc4cfdcb72a1c59 + .quad 0x497d78813fc22a24 + .quad 0x3ef5d41593ea022e + .quad 0x5cbcc1a20ed0eed6 + .quad 0x8fd24ecf07382c8c + .quad 0x6fa42ead06d8e1ad + .quad 0xe276824a1f73371f + .quad 0x7f7cf01c4f5b6736 + .quad 0x7e201fe304fa46e7 + .quad 0x785a36a357808c96 + + // 2^252 * 7 * G + + .quad 0x825fbdfd63014d2b + .quad 0xc852369c6ca7578b + .quad 0x5b2fcd285c0b5df0 + .quad 0x12ab214c58048c8f + .quad 0x070442985d517bc3 + .quad 0x6acd56c7ae653678 + .quad 0x00a27983985a7763 + .quad 0x5167effae512662b + .quad 0xbd4ea9e10f53c4b6 + .quad 0x1673dc5f8ac91a14 + .quad 0xa8f81a4e2acc1aba + .quad 0x33a92a7924332a25 + + // 2^252 * 8 * G + + .quad 0x9dd1f49927996c02 + .quad 0x0cb3b058e04d1752 + .quad 0x1f7e88967fd02c3e + .quad 0x2f964268cb8b3eb1 + .quad 0x7ba95ba0218f2ada + .quad 0xcff42287330fb9ca + .quad 0xdada496d56c6d907 + .quad 0x5380c296f4beee54 + .quad 0x9d4f270466898d0a + .quad 0x3d0987990aff3f7a + .quad 0xd09ef36267daba45 + .quad 0x7761455e7b1c669c diff --git a/cbits/s2n/arm/edwards25519_encode.S b/cbits/s2n/arm/edwards25519_encode.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/edwards25519_encode.S @@ -0,0 +1,136 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Encode edwards25519 point into compressed form as 256-bit number +// Input p[8]; output z[32] (bytes) +// +// extern void edwards25519_encode(uint8_t z[static 32], +// const uint64_t p[static 8]); +// +// This assumes that the input buffer p points to a pair of 256-bit +// numbers x (at p) and y (at p+4) representing a point (x,y) on the +// edwards25519 curve. It is assumed that both x and y are < p_25519 +// but there is no checking of this, nor of the fact that (x,y) is +// in fact on the curve. +// +// The output in z is a little-endian array of bytes corresponding to +// the standard compressed encoding of a point as 2^255 * x_0 + y +// where x_0 is the least significant bit of x. +// See "https://datatracker.ietf.org/doc/html/rfc8032#section-5.1.2" +// In this implementation, y is simply truncated to 255 bits, but if +// it is reduced mod p_25519 as expected this does not affect values. +// +// Standard ARM ABI: X0 = z, X1 = p +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(edwards25519_encode) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(edwards25519_encode) + S2N_BN_SYM_PRIVACY_DIRECTIVE(edwards25519_encode) + .text + .balign 4 + +#define z x0 +#define p x1 + +#define y0 x2 +#define y1 x3 +#define y2 x4 +#define y3 x5 +#define y0short w2 +#define y1short w3 +#define y2short w4 +#define y3short w5 +#define xb x6 + +S2N_BN_SYMBOL(edwards25519_encode): + CFI_START + +// Load lowest word of x coordinate in xb and full y as [y3;y2;y1;y0]. + + ldr xb, [p] + ldp y0, y1, [p, #32] + ldp y2, y3, [p, #48] + +// Compute the encoded form, making the LSB of x the MSB of the encoding + + and y3, y3, #0x7FFFFFFFFFFFFFFF + orr y3, y3, xb, lsl #63 + +// Write back in a byte-oriented fashion to be independent of endianness + + strb y0short, [z] + lsr y0, y0, #8 + strb y0short, [z, #1] + lsr y0, y0, #8 + strb y0short, [z, #2] + lsr y0, y0, #8 + strb y0short, [z, #3] + lsr y0, y0, #8 + strb y0short, [z, #4] + lsr y0, y0, #8 + strb y0short, [z, #5] + lsr y0, y0, #8 + strb y0short, [z, #6] + lsr y0, y0, #8 + strb y0short, [z, #7] + + strb y1short, [z, #8] + lsr y1, y1, #8 + strb y1short, [z, #9] + lsr y1, y1, #8 + strb y1short, [z, #10] + lsr y1, y1, #8 + strb y1short, [z, #11] + lsr y1, y1, #8 + strb y1short, [z, #12] + lsr y1, y1, #8 + strb y1short, [z, #13] + lsr y1, y1, #8 + strb y1short, [z, #14] + lsr y1, y1, #8 + strb y1short, [z, #15] + + strb y2short, [z, #16] + lsr y2, y2, #8 + strb y2short, [z, #17] + lsr y2, y2, #8 + strb y2short, [z, #18] + lsr y2, y2, #8 + strb y2short, [z, #19] + lsr y2, y2, #8 + strb y2short, [z, #20] + lsr y2, y2, #8 + strb y2short, [z, #21] + lsr y2, y2, #8 + strb y2short, [z, #22] + lsr y2, y2, #8 + strb y2short, [z, #23] + + strb y3short, [z, #24] + lsr y3, y3, #8 + strb y3short, [z, #25] + lsr y3, y3, #8 + strb y3short, [z, #26] + lsr y3, y3, #8 + strb y3short, [z, #27] + lsr y3, y3, #8 + strb y3short, [z, #28] + lsr y3, y3, #8 + strb y3short, [z, #29] + lsr y3, y3, #8 + strb y3short, [z, #30] + lsr y3, y3, #8 + strb y3short, [z, #31] + +// Return + + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(edwards25519_encode) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/arm/edwards25519_scalarmulbase.S b/cbits/s2n/arm/edwards25519_scalarmulbase.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/edwards25519_scalarmulbase.S @@ -0,0 +1,9635 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Scalar multiplication for the edwards25519 standard basepoint +// Input scalar[4]; output res[8] +// +// extern void edwards25519_scalarmulbase +// (uint64_t res[static 8],const uint64_t scalar[static 4]); +// +// Given a scalar n, returns point (X,Y) = n * B where B = (...,4/5) is +// the standard basepoint for the edwards25519 (Ed25519) curve. +// +// Standard ARM ABI: X0 = res, X1 = scalar +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(edwards25519_scalarmulbase) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(edwards25519_scalarmulbase) + S2N_BN_SYM_PRIVACY_DIRECTIVE(edwards25519_scalarmulbase) + + .text + .balign 4 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Stable home for the input result argument during the whole body + +#define res x23 + +// Other variables that are only needed prior to the modular inverse. + +#define tab x19 + +#define i x20 + +#define bias x21 + +#define bf x22 +#define ix x22 + +// Pointer-offset pairs for result and temporaries on stack with some aliasing. + +#define resx res, #(0*NUMSIZE) +#define resy res, #(1*NUMSIZE) + +#define scalar sp, #(0*NUMSIZE) + +#define tabent sp, #(1*NUMSIZE) +#define ymx_2 sp, #(1*NUMSIZE) +#define xpy_2 sp, #(2*NUMSIZE) +#define kxy_2 sp, #(3*NUMSIZE) + +#define acc sp, #(4*NUMSIZE) +#define x_1 sp, #(4*NUMSIZE) +#define y_1 sp, #(5*NUMSIZE) +#define z_1 sp, #(6*NUMSIZE) +#define w_1 sp, #(7*NUMSIZE) +#define x_3 sp, #(4*NUMSIZE) +#define y_3 sp, #(5*NUMSIZE) +#define z_3 sp, #(6*NUMSIZE) +#define w_3 sp, #(7*NUMSIZE) + +#define tmpspace sp, #(8*NUMSIZE) +#define t0 sp, #(8*NUMSIZE) +#define t1 sp, #(9*NUMSIZE) +#define t2 sp, #(10*NUMSIZE) +#define t3 sp, #(11*NUMSIZE) +#define t4 sp, #(12*NUMSIZE) +#define t5 sp, #(13*NUMSIZE) + +// Total size to reserve on the stack + +#define NSPACE 14*NUMSIZE + +// Load 64-bit immediate into a register + +#define movbig(nn,n3,n2,n1,n0) \ + movz nn, n0 __LF \ + movk nn, n1, lsl #16 __LF \ + movk nn, n2, lsl #32 __LF \ + movk nn, n3, lsl #48 + +// Macro wrapping up the basic field operation bignum_mul_p25519, only +// trivially different from a pure function call to that subroutine. + +#define mul_p25519(P0,P1,P2) \ + ldp x3, x4, [P1] __LF \ + ldp x5, x6, [P2] __LF \ + umull x7, w3, w5 __LF \ + lsr x0, x3, #32 __LF \ + umull x15, w0, w5 __LF \ + lsr x16, x5, #32 __LF \ + umull x8, w16, w0 __LF \ + umull x16, w3, w16 __LF \ + adds x7, x7, x15, lsl #32 __LF \ + lsr x15, x15, #32 __LF \ + adc x8, x8, x15 __LF \ + adds x7, x7, x16, lsl #32 __LF \ + lsr x16, x16, #32 __LF \ + adc x8, x8, x16 __LF \ + mul x9, x4, x6 __LF \ + umulh x10, x4, x6 __LF \ + subs x4, x4, x3 __LF \ + cneg x4, x4, cc __LF \ + csetm x16, cc __LF \ + adds x9, x9, x8 __LF \ + adc x10, x10, xzr __LF \ + subs x3, x5, x6 __LF \ + cneg x3, x3, cc __LF \ + cinv x16, x16, cc __LF \ + mul x15, x4, x3 __LF \ + umulh x3, x4, x3 __LF \ + adds x8, x7, x9 __LF \ + adcs x9, x9, x10 __LF \ + adc x10, x10, xzr __LF \ + cmn x16, #0x1 __LF \ + eor x15, x15, x16 __LF \ + adcs x8, x15, x8 __LF \ + eor x3, x3, x16 __LF \ + adcs x9, x3, x9 __LF \ + adc x10, x10, x16 __LF \ + ldp x3, x4, [P1+16] __LF \ + ldp x5, x6, [P2+16] __LF \ + umull x11, w3, w5 __LF \ + lsr x0, x3, #32 __LF \ + umull x15, w0, w5 __LF \ + lsr x16, x5, #32 __LF \ + umull x12, w16, w0 __LF \ + umull x16, w3, w16 __LF \ + adds x11, x11, x15, lsl #32 __LF \ + lsr x15, x15, #32 __LF \ + adc x12, x12, x15 __LF \ + adds x11, x11, x16, lsl #32 __LF \ + lsr x16, x16, #32 __LF \ + adc x12, x12, x16 __LF \ + mul x13, x4, x6 __LF \ + umulh x14, x4, x6 __LF \ + subs x4, x4, x3 __LF \ + cneg x4, x4, cc __LF \ + csetm x16, cc __LF \ + adds x13, x13, x12 __LF \ + adc x14, x14, xzr __LF \ + subs x3, x5, x6 __LF \ + cneg x3, x3, cc __LF \ + cinv x16, x16, cc __LF \ + mul x15, x4, x3 __LF \ + umulh x3, x4, x3 __LF \ + adds x12, x11, x13 __LF \ + adcs x13, x13, x14 __LF \ + adc x14, x14, xzr __LF \ + cmn x16, #0x1 __LF \ + eor x15, x15, x16 __LF \ + adcs x12, x15, x12 __LF \ + eor x3, x3, x16 __LF \ + adcs x13, x3, x13 __LF \ + adc x14, x14, x16 __LF \ + ldp x3, x4, [P1+16] __LF \ + ldp x15, x16, [P1] __LF \ + subs x3, x3, x15 __LF \ + sbcs x4, x4, x16 __LF \ + csetm x16, cc __LF \ + ldp x15, x0, [P2] __LF \ + subs x5, x15, x5 __LF \ + sbcs x6, x0, x6 __LF \ + csetm x0, cc __LF \ + eor x3, x3, x16 __LF \ + subs x3, x3, x16 __LF \ + eor x4, x4, x16 __LF \ + sbc x4, x4, x16 __LF \ + eor x5, x5, x0 __LF \ + subs x5, x5, x0 __LF \ + eor x6, x6, x0 __LF \ + sbc x6, x6, x0 __LF \ + eor x16, x0, x16 __LF \ + adds x11, x11, x9 __LF \ + adcs x12, x12, x10 __LF \ + adcs x13, x13, xzr __LF \ + adc x14, x14, xzr __LF \ + mul x2, x3, x5 __LF \ + umulh x0, x3, x5 __LF \ + mul x15, x4, x6 __LF \ + umulh x1, x4, x6 __LF \ + subs x4, x4, x3 __LF \ + cneg x4, x4, cc __LF \ + csetm x9, cc __LF \ + adds x15, x15, x0 __LF \ + adc x1, x1, xzr __LF \ + subs x6, x5, x6 __LF \ + cneg x6, x6, cc __LF \ + cinv x9, x9, cc __LF \ + mul x5, x4, x6 __LF \ + umulh x6, x4, x6 __LF \ + adds x0, x2, x15 __LF \ + adcs x15, x15, x1 __LF \ + adc x1, x1, xzr __LF \ + cmn x9, #0x1 __LF \ + eor x5, x5, x9 __LF \ + adcs x0, x5, x0 __LF \ + eor x6, x6, x9 __LF \ + adcs x15, x6, x15 __LF \ + adc x1, x1, x9 __LF \ + adds x9, x11, x7 __LF \ + adcs x10, x12, x8 __LF \ + adcs x11, x13, x11 __LF \ + adcs x12, x14, x12 __LF \ + adcs x13, x13, xzr __LF \ + adc x14, x14, xzr __LF \ + cmn x16, #0x1 __LF \ + eor x2, x2, x16 __LF \ + adcs x9, x2, x9 __LF \ + eor x0, x0, x16 __LF \ + adcs x10, x0, x10 __LF \ + eor x15, x15, x16 __LF \ + adcs x11, x15, x11 __LF \ + eor x1, x1, x16 __LF \ + adcs x12, x1, x12 __LF \ + adcs x13, x13, x16 __LF \ + adc x14, x14, x16 __LF \ + mov x3, #0x26 __LF \ + umull x4, w11, w3 __LF \ + add x4, x4, w7, uxtw __LF \ + lsr x7, x7, #32 __LF \ + lsr x11, x11, #32 __LF \ + umaddl x11, w11, w3, x7 __LF \ + mov x7, x4 __LF \ + umull x4, w12, w3 __LF \ + add x4, x4, w8, uxtw __LF \ + lsr x8, x8, #32 __LF \ + lsr x12, x12, #32 __LF \ + umaddl x12, w12, w3, x8 __LF \ + mov x8, x4 __LF \ + umull x4, w13, w3 __LF \ + add x4, x4, w9, uxtw __LF \ + lsr x9, x9, #32 __LF \ + lsr x13, x13, #32 __LF \ + umaddl x13, w13, w3, x9 __LF \ + mov x9, x4 __LF \ + umull x4, w14, w3 __LF \ + add x4, x4, w10, uxtw __LF \ + lsr x10, x10, #32 __LF \ + lsr x14, x14, #32 __LF \ + umaddl x14, w14, w3, x10 __LF \ + mov x10, x4 __LF \ + lsr x0, x14, #31 __LF \ + mov x5, #0x13 __LF \ + umaddl x5, w5, w0, x5 __LF \ + add x7, x7, x5 __LF \ + adds x7, x7, x11, lsl #32 __LF \ + extr x3, x12, x11, #32 __LF \ + adcs x8, x8, x3 __LF \ + extr x3, x13, x12, #32 __LF \ + adcs x9, x9, x3 __LF \ + extr x3, x14, x13, #32 __LF \ + lsl x5, x0, #63 __LF \ + eor x10, x10, x5 __LF \ + adc x10, x10, x3 __LF \ + mov x3, #0x13 __LF \ + tst x10, #0x8000000000000000 __LF \ + csel x3, x3, xzr, pl __LF \ + subs x7, x7, x3 __LF \ + sbcs x8, x8, xzr __LF \ + sbcs x9, x9, xzr __LF \ + sbc x10, x10, xzr __LF \ + and x10, x10, #0x7fffffffffffffff __LF \ + stp x7, x8, [P0] __LF \ + stp x9, x10, [P0+16] + +// A version of multiplication that only guarantees output < 2 * p_25519. +// This basically skips the +1 and final correction in quotient estimation. + +#define mul_4(P0,P1,P2) \ + ldp x3, x4, [P1] __LF \ + ldp x5, x6, [P2] __LF \ + umull x7, w3, w5 __LF \ + lsr x0, x3, #32 __LF \ + umull x15, w0, w5 __LF \ + lsr x16, x5, #32 __LF \ + umull x8, w16, w0 __LF \ + umull x16, w3, w16 __LF \ + adds x7, x7, x15, lsl #32 __LF \ + lsr x15, x15, #32 __LF \ + adc x8, x8, x15 __LF \ + adds x7, x7, x16, lsl #32 __LF \ + lsr x16, x16, #32 __LF \ + adc x8, x8, x16 __LF \ + mul x9, x4, x6 __LF \ + umulh x10, x4, x6 __LF \ + subs x4, x4, x3 __LF \ + cneg x4, x4, cc __LF \ + csetm x16, cc __LF \ + adds x9, x9, x8 __LF \ + adc x10, x10, xzr __LF \ + subs x3, x5, x6 __LF \ + cneg x3, x3, cc __LF \ + cinv x16, x16, cc __LF \ + mul x15, x4, x3 __LF \ + umulh x3, x4, x3 __LF \ + adds x8, x7, x9 __LF \ + adcs x9, x9, x10 __LF \ + adc x10, x10, xzr __LF \ + cmn x16, #0x1 __LF \ + eor x15, x15, x16 __LF \ + adcs x8, x15, x8 __LF \ + eor x3, x3, x16 __LF \ + adcs x9, x3, x9 __LF \ + adc x10, x10, x16 __LF \ + ldp x3, x4, [P1+16] __LF \ + ldp x5, x6, [P2+16] __LF \ + umull x11, w3, w5 __LF \ + lsr x0, x3, #32 __LF \ + umull x15, w0, w5 __LF \ + lsr x16, x5, #32 __LF \ + umull x12, w16, w0 __LF \ + umull x16, w3, w16 __LF \ + adds x11, x11, x15, lsl #32 __LF \ + lsr x15, x15, #32 __LF \ + adc x12, x12, x15 __LF \ + adds x11, x11, x16, lsl #32 __LF \ + lsr x16, x16, #32 __LF \ + adc x12, x12, x16 __LF \ + mul x13, x4, x6 __LF \ + umulh x14, x4, x6 __LF \ + subs x4, x4, x3 __LF \ + cneg x4, x4, cc __LF \ + csetm x16, cc __LF \ + adds x13, x13, x12 __LF \ + adc x14, x14, xzr __LF \ + subs x3, x5, x6 __LF \ + cneg x3, x3, cc __LF \ + cinv x16, x16, cc __LF \ + mul x15, x4, x3 __LF \ + umulh x3, x4, x3 __LF \ + adds x12, x11, x13 __LF \ + adcs x13, x13, x14 __LF \ + adc x14, x14, xzr __LF \ + cmn x16, #0x1 __LF \ + eor x15, x15, x16 __LF \ + adcs x12, x15, x12 __LF \ + eor x3, x3, x16 __LF \ + adcs x13, x3, x13 __LF \ + adc x14, x14, x16 __LF \ + ldp x3, x4, [P1+16] __LF \ + ldp x15, x16, [P1] __LF \ + subs x3, x3, x15 __LF \ + sbcs x4, x4, x16 __LF \ + csetm x16, cc __LF \ + ldp x15, x0, [P2] __LF \ + subs x5, x15, x5 __LF \ + sbcs x6, x0, x6 __LF \ + csetm x0, cc __LF \ + eor x3, x3, x16 __LF \ + subs x3, x3, x16 __LF \ + eor x4, x4, x16 __LF \ + sbc x4, x4, x16 __LF \ + eor x5, x5, x0 __LF \ + subs x5, x5, x0 __LF \ + eor x6, x6, x0 __LF \ + sbc x6, x6, x0 __LF \ + eor x16, x0, x16 __LF \ + adds x11, x11, x9 __LF \ + adcs x12, x12, x10 __LF \ + adcs x13, x13, xzr __LF \ + adc x14, x14, xzr __LF \ + mul x2, x3, x5 __LF \ + umulh x0, x3, x5 __LF \ + mul x15, x4, x6 __LF \ + umulh x1, x4, x6 __LF \ + subs x4, x4, x3 __LF \ + cneg x4, x4, cc __LF \ + csetm x9, cc __LF \ + adds x15, x15, x0 __LF \ + adc x1, x1, xzr __LF \ + subs x6, x5, x6 __LF \ + cneg x6, x6, cc __LF \ + cinv x9, x9, cc __LF \ + mul x5, x4, x6 __LF \ + umulh x6, x4, x6 __LF \ + adds x0, x2, x15 __LF \ + adcs x15, x15, x1 __LF \ + adc x1, x1, xzr __LF \ + cmn x9, #0x1 __LF \ + eor x5, x5, x9 __LF \ + adcs x0, x5, x0 __LF \ + eor x6, x6, x9 __LF \ + adcs x15, x6, x15 __LF \ + adc x1, x1, x9 __LF \ + adds x9, x11, x7 __LF \ + adcs x10, x12, x8 __LF \ + adcs x11, x13, x11 __LF \ + adcs x12, x14, x12 __LF \ + adcs x13, x13, xzr __LF \ + adc x14, x14, xzr __LF \ + cmn x16, #0x1 __LF \ + eor x2, x2, x16 __LF \ + adcs x9, x2, x9 __LF \ + eor x0, x0, x16 __LF \ + adcs x10, x0, x10 __LF \ + eor x15, x15, x16 __LF \ + adcs x11, x15, x11 __LF \ + eor x1, x1, x16 __LF \ + adcs x12, x1, x12 __LF \ + adcs x13, x13, x16 __LF \ + adc x14, x14, x16 __LF \ + mov x3, #0x26 __LF \ + umull x4, w11, w3 __LF \ + add x4, x4, w7, uxtw __LF \ + lsr x7, x7, #32 __LF \ + lsr x11, x11, #32 __LF \ + umaddl x11, w11, w3, x7 __LF \ + mov x7, x4 __LF \ + umull x4, w12, w3 __LF \ + add x4, x4, w8, uxtw __LF \ + lsr x8, x8, #32 __LF \ + lsr x12, x12, #32 __LF \ + umaddl x12, w12, w3, x8 __LF \ + mov x8, x4 __LF \ + umull x4, w13, w3 __LF \ + add x4, x4, w9, uxtw __LF \ + lsr x9, x9, #32 __LF \ + lsr x13, x13, #32 __LF \ + umaddl x13, w13, w3, x9 __LF \ + mov x9, x4 __LF \ + umull x4, w14, w3 __LF \ + add x4, x4, w10, uxtw __LF \ + lsr x10, x10, #32 __LF \ + lsr x14, x14, #32 __LF \ + umaddl x14, w14, w3, x10 __LF \ + mov x10, x4 __LF \ + lsr x0, x14, #31 __LF \ + mov x5, #0x13 __LF \ + umull x5, w5, w0 __LF \ + add x7, x7, x5 __LF \ + adds x7, x7, x11, lsl #32 __LF \ + extr x3, x12, x11, #32 __LF \ + adcs x8, x8, x3 __LF \ + extr x3, x13, x12, #32 __LF \ + adcs x9, x9, x3 __LF \ + extr x3, x14, x13, #32 __LF \ + lsl x5, x0, #63 __LF \ + eor x10, x10, x5 __LF \ + adc x10, x10, x3 __LF \ + stp x7, x8, [P0] __LF \ + stp x9, x10, [P0+16] + +// Modular subtraction with double modulus 2 * p_25519 = 2^256 - 38 + +#define sub_twice4(P0,P1,P2) \ + ldp x5, x6, [P1] __LF \ + ldp x4, x3, [P2] __LF \ + subs x5, x5, x4 __LF \ + sbcs x6, x6, x3 __LF \ + ldp x7, x8, [P1+16] __LF \ + ldp x4, x3, [P2+16] __LF \ + sbcs x7, x7, x4 __LF \ + sbcs x8, x8, x3 __LF \ + mov x4, #38 __LF \ + csel x3, x4, xzr, lo __LF \ + subs x5, x5, x3 __LF \ + sbcs x6, x6, xzr __LF \ + sbcs x7, x7, xzr __LF \ + sbc x8, x8, xzr __LF \ + stp x5, x6, [P0] __LF \ + stp x7, x8, [P0+16] + +// Modular addition and doubling with double modulus 2 * p_25519 = 2^256 - 38. +// This only ensures that the result fits in 4 digits, not that it is reduced +// even w.r.t. double modulus. The result is always correct modulo provided +// the sum of the inputs is < 2^256 + 2^256 - 38, so in particular provided +// at least one of them is reduced double modulo. + +#define add_twice4(P0,P1,P2) \ + ldp x3, x4, [P1] __LF \ + ldp x7, x8, [P2] __LF \ + adds x3, x3, x7 __LF \ + adcs x4, x4, x8 __LF \ + ldp x5, x6, [P1+16] __LF \ + ldp x7, x8, [P2+16] __LF \ + adcs x5, x5, x7 __LF \ + adcs x6, x6, x8 __LF \ + mov x9, #38 __LF \ + csel x9, x9, xzr, cs __LF \ + adds x3, x3, x9 __LF \ + adcs x4, x4, xzr __LF \ + adcs x5, x5, xzr __LF \ + adc x6, x6, xzr __LF \ + stp x3, x4, [P0] __LF \ + stp x5, x6, [P0+16] + +#define double_twice4(P0,P1) \ + ldp x3, x4, [P1] __LF \ + adds x3, x3, x3 __LF \ + adcs x4, x4, x4 __LF \ + ldp x5, x6, [P1+16] __LF \ + adcs x5, x5, x5 __LF \ + adcs x6, x6, x6 __LF \ + mov x9, #38 __LF \ + csel x9, x9, xzr, cs __LF \ + adds x3, x3, x9 __LF \ + adcs x4, x4, xzr __LF \ + adcs x5, x5, xzr __LF \ + adc x6, x6, xzr __LF \ + stp x3, x4, [P0] __LF \ + stp x5, x6, [P0+16] + +S2N_BN_SYMBOL(edwards25519_scalarmulbase): + CFI_START + +// Save regs and make room for temporaries + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_DEC_SP(NSPACE) + +// Move the output pointer to a stable place + + mov res, x0 + +// Copy the input scalar x to its local variable while reducing it +// modulo 2^252 + m where m = 27742317777372353535851937790883648493; +// this is the order of the basepoint so this doesn't change the result. +// First do q = floor(x/2^252) and x' = x - q * (2^252 + m), which gives +// an initial result -15 * m <= x' < 2^252 + + ldp x10, x11, [x1] + ldp x12, x13, [x1, #16] + + lsr x9, x13, #60 + + movbig(x0,#0x5812,#0x631a,#0x5cf5,#0xd3ed); + movbig(x1,#0x14de,#0xf9de,#0xa2f7,#0x9cd6); + + mul x2, x9, x0 + mul x3, x9, x1 + umulh x4, x9, x0 + umulh x5, x9, x1 + + adds x3, x3, x4 + adc x4, x5, xzr + lsl x5, x9, #60 + + subs x10, x10, x2 + sbcs x11, x11, x3 + sbcs x12, x12, x4 + sbcs x13, x13, x5 + +// If x' < 0 then just directly negate it; this makes sure the +// reduced argument is strictly 0 <= x' < 2^252, but now we need +// to record (done via bit 255 of the reduced scalar, which is +// ignored in the main loop) when we negated so we can flip +// the sign of the eventual point to compensate. + + csetm x9, cc + adds xzr, x9, x9 + eor x10, x10, x9 + adcs x10, x10, xzr + eor x11, x11, x9 + adcs x11, x11, xzr + eor x12, x12, x9 + adcs x12, x12, xzr + eor x13, x13, x9 + adc x13, x13, xzr + + and x9, x9, #0x8000000000000000 + orr x13, x13, x9 + +// And before we store the scalar, test and reset bit 251 to +// initialize the main loop just below. + + stp x10, x11, [scalar] + tst x13, #0x0800000000000000 + bic x13, x13, #0x0800000000000000 + stp x12, x13, [scalar+16] + +// The main part of the computation is in extended-projective coordinates +// (X,Y,Z,T), representing an affine point on the edwards25519 curve +// (x,y) via x = X/Z, y = Y/Z and x * y = T/Z (so X * Y = T * Z). +// In comments B means the standard basepoint (x,4/5) = +// (0x216....f25d51a,0x6666..666658). +// +// Initialize accumulator "acc" to either 0 or 2^251 * B depending on +// bit 251 of the (reduced) scalar. That leaves bits 0..250 to handle. + +#if defined(__ELF__) + adrp tab, S2N_BN_SYMBOL(edwards25519_scalarmulbase_constant) + add tab, tab, :lo12:S2N_BN_SYMBOL(edwards25519_scalarmulbase_constant) +#else + adrp tab, S2N_BN_SYMBOL(edwards25519_scalarmulbase_constant)@PAGE + add tab, tab, S2N_BN_SYMBOL(edwards25519_scalarmulbase_constant)@PAGEOFF +#endif + + ldp x0, x1, [tab] + ldp x2, x3, [tab, #96] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc] + + ldp x0, x1, [tab, #1*16] + ldp x2, x3, [tab, #(96+1*16)] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc+1*16] + + ldp x0, x1, [tab, #2*16] + ldp x2, x3, [tab, #(96+2*16)] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc+2*16] + + ldp x0, x1, [tab, #3*16] + ldp x2, x3, [tab, #(96+3*16)] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc+3*16] + + mov x0, #1 + stp x0, xzr, [acc+4*16] + stp xzr, xzr, [acc+5*16] + + ldp x0, x1, [tab, #4*16] + ldp x2, x3, [tab, #(96+4*16)] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc+6*16] + + ldp x0, x1, [tab, #5*16] + ldp x2, x3, [tab, #(96+5*16)] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc+7*16] + +// The counter "i" tracks the bit position for which the scalar has +// already been absorbed, starting at 0 and going up in chunks of 4. +// +// The pointer "tab" points at the current block of the table for +// multiples (2^i * j) * B at the current bit position i; 1 <= j <= 8. +// +// The bias is always either 0 and 1 and needs to be added to the +// partially processed scalar implicitly. This is used to absorb 4 bits +// of scalar per iteration from 3-bit table indexing by exploiting +// negation: (16 * h + l) * B = (16 * (h + 1) - (16 - l)) * B is used +// when l >= 9. Note that we can't have any bias left over at the +// end because we made sure bit 251 is clear in the reduced scalar. + + mov i, 0 + add tab, tab, #192 + mov bias, xzr + +// Start of the main loop, repeated 63 times for i = 0, 4, 8, ..., 248 + +Ledwards25519_scalarmulbase_scalarloop: + +// Look at the next 4-bit field "bf", adding the previous bias as well. +// Choose the table index "ix" as bf when bf <= 8 and 16 - bf for bf >= 9, +// setting the bias to 1 for the next iteration in the latter case. + + lsr x0, i, #6 + ldr x2, [sp, x0, lsl #3] // Exploiting scalar = sp exactly + lsr x2, x2, i + and x2, x2, #15 + add bf, x2, bias + + cmp bf, 9 + cset bias, cs + + mov x0, 16 + sub x0, x0, bf + cmp bias, xzr + csel ix, x0, bf, ne + +// Perform constant-time lookup in the table to get element number "ix". +// The table entry for the affine point (x,y) is actually a triple +// (y - x,x + y,2 * d * x * y) to precompute parts of the addition. +// Note that "ix" can be 0, so we set up the appropriate identity first. + + mov x0, #1 + mov x1, xzr + mov x2, xzr + mov x3, xzr + mov x4, #1 + mov x5, xzr + mov x6, xzr + mov x7, xzr + mov x8, xzr + mov x9, xzr + mov x10, xzr + mov x11, xzr + + cmp ix, #1 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #2 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #3 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #4 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #5 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #6 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #7 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #8 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + +// We now have the triple from the table in registers as follows +// +// [x3;x2;x1;x0] = y - x +// [x7;x6;x5;x4] = x + y +// [x11;x10;x9;x8] = 2 * d * x * y +// +// In case bias = 1 we need to negate this. For Edwards curves +// -(x,y) = (-x,y), i.e. we need to negate the x coordinate. +// In this processed encoding, that amounts to swapping the +// first two fields and negating the third. +// +// The optional negation here also pretends bias = 0 whenever +// ix = 0 so that it doesn't need to handle the case of zero +// inputs, since no non-trivial table entries are zero. Note +// that in the zero case the whole negation is trivial, and +// so indeed is the swapping. + + cmp bias, #0 + + csel x12, x0, x4, eq + csel x13, x1, x5, eq + csel x14, x2, x6, eq + csel x15, x3, x7, eq + stp x12, x13, [tabent] + stp x14, x15, [tabent+16] + + csel x12, x0, x4, ne + csel x13, x1, x5, ne + csel x14, x2, x6, ne + csel x15, x3, x7, ne + stp x12, x13, [tabent+32] + stp x14, x15, [tabent+48] + + mov x0, #-19 + subs x0, x0, x8 + mov x2, #-1 + sbcs x1, x2, x9 + sbcs x2, x2, x10 + mov x3, #0x7FFFFFFFFFFFFFFF + sbc x3, x3, x11 + + cmp ix, xzr + ccmp bias, xzr, #4, ne + + csel x0, x0, x8, ne + csel x1, x1, x9, ne + stp x0, x1, [tabent+64] + csel x2, x2, x10, ne + csel x3, x3, x11, ne + stp x2, x3, [tabent+80] + +// Extended-projective and precomputed mixed addition. +// This is effectively the same as calling the standalone +// function edwards25519_pepadd_alt(acc,acc,tabent), but we +// only retain slightly weaker normalization < 2 * p_25519 +// throughout the inner loop, so the computation is +// slightly different, and faster overall. + + double_twice4(t0,z_1) + sub_twice4(t1,y_1,x_1) + add_twice4(t2,y_1,x_1) + mul_4(t3,w_1,kxy_2) + mul_4(t1,t1,ymx_2) + mul_4(t2,t2,xpy_2) + sub_twice4(t4,t0,t3) + add_twice4(t0,t0,t3) + sub_twice4(t5,t2,t1) + add_twice4(t1,t2,t1) + mul_4(z_3,t4,t0) + mul_4(x_3,t5,t4) + mul_4(y_3,t0,t1) + mul_4(w_3,t5,t1) + +// End of the main loop; move on by 4 bits. + + add i, i, 4 + cmp i, 252 + bcc Ledwards25519_scalarmulbase_scalarloop + +// Insert the optional negation of the projective X coordinate, and +// so by extension the final affine x coordinate x = X/Z and thus +// the point P = (x,y). We only know X < 2 * p_25519, so we do the +// negation as 2 * p_25519 - X to keep it nonnegative. From this +// point on we don't need any normalization of the coordinates +// except for making sure that they fit in 4 digits. + + ldp x0, x1, [x_3] + ldp x2, x3, [x_3+16] + mov x4, #0xffffffffffffffda + subs x4, x4, x0 + mov x7, #0xffffffffffffffff + sbcs x5, x7, x1 + sbcs x6, x7, x2 + sbc x7, x7, x3 + ldr x10, [scalar+24] + tst x10, #0x8000000000000000 + csel x0, x4, x0, ne + csel x1, x5, x1, ne + csel x2, x6, x2, ne + csel x3, x7, x3, ne + stp x0, x1, [x_3] + stp x2, x3, [x_3+16] + +// Now we need to map out of the extended-projective representation +// (X,Y,Z,W) back to the affine form (x,y) = (X/Z,Y/Z). This means +// first calling the modular inverse to get w_3 = 1/z_3. + + add x0, w_3 + add x1, z_3 + +// Inline copy of bignum_inv_p25519, identical except for stripping out +// the prologue and epilogue saving and restoring registers and making +// and reclaiming room on the stack. For more details and explanations see +// "arm/curve25519/bignum_inv_p25519.S". Note that the stack it uses for +// its own temporaries is 128 bytes, so it has no effect on variables +// that are needed in the rest of our computation here: res, w_3, x_3 +// and y_3. + + mov x20, x0 + mov x10, #0xffffffffffffffed + mov x11, #0xffffffffffffffff + stp x10, x11, [sp] + mov x12, #0x7fffffffffffffff + stp x11, x12, [sp, #16] + ldp x2, x3, [x1] + ldp x4, x5, [x1, #16] + mov x7, #0x13 + lsr x6, x5, #63 + madd x6, x7, x6, x7 + adds x2, x2, x6 + adcs x3, x3, xzr + adcs x4, x4, xzr + orr x5, x5, #0x8000000000000000 + adcs x5, x5, xzr + csel x6, x7, xzr, cc + subs x2, x2, x6 + sbcs x3, x3, xzr + sbcs x4, x4, xzr + sbc x5, x5, xzr + and x5, x5, #0x7fffffffffffffff + stp x2, x3, [sp, #32] + stp x4, x5, [sp, #48] + stp xzr, xzr, [sp, #64] + stp xzr, xzr, [sp, #80] + mov x10, #0x2099 + movk x10, #0x7502, lsl #16 + movk x10, #0x9e23, lsl #32 + movk x10, #0xa0f9, lsl #48 + mov x11, #0x2595 + movk x11, #0x1d13, lsl #16 + movk x11, #0x8f3f, lsl #32 + movk x11, #0xa8c6, lsl #48 + mov x12, #0x5242 + movk x12, #0x5ac, lsl #16 + movk x12, #0x8938, lsl #32 + movk x12, #0x6c6c, lsl #48 + mov x13, #0x615 + movk x13, #0x4177, lsl #16 + movk x13, #0x8b2, lsl #32 + movk x13, #0x2765, lsl #48 + stp x10, x11, [sp, #96] + stp x12, x13, [sp, #112] + mov x21, #0xa + mov x22, #0x1 + b Ledwards25519_scalarmulbase_invmidloop +Ledwards25519_scalarmulbase_invloop: + cmp x10, xzr + csetm x14, mi + cneg x10, x10, mi + cmp x11, xzr + csetm x15, mi + cneg x11, x11, mi + cmp x12, xzr + csetm x16, mi + cneg x12, x12, mi + cmp x13, xzr + csetm x17, mi + cneg x13, x13, mi + and x0, x10, x14 + and x1, x11, x15 + add x9, x0, x1 + and x0, x12, x16 + and x1, x13, x17 + add x19, x0, x1 + ldr x7, [sp] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #32] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + adc x2, x2, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x5, x19, x0 + adc x3, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x7, [sp, #8] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #40] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + adc x6, x6, x1 + extr x4, x2, x4, #59 + str x4, [sp] + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x3, x3, x0 + adc x4, x4, x1 + extr x5, x3, x5, #59 + str x5, [sp, #32] + ldr x7, [sp, #16] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #48] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + adc x5, x5, x1 + extr x2, x6, x2, #59 + str x2, [sp, #8] + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x4, x4, x0 + adc x2, x2, x1 + extr x3, x4, x3, #59 + str x3, [sp, #40] + ldr x7, [sp, #24] + eor x1, x7, x14 + asr x3, x1, #63 + and x3, x3, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #56] + eor x1, x8, x15 + asr x0, x1, #63 + and x0, x0, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x5, x6, #59 + str x6, [sp, #16] + extr x5, x3, x5, #59 + str x5, [sp, #24] + eor x1, x7, x16 + asr x5, x1, #63 + and x5, x5, x12 + neg x5, x5 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, x17 + asr x0, x1, #63 + and x0, x0, x13 + sub x5, x5, x0 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x2, x2, x0 + adc x5, x5, x1 + extr x4, x2, x4, #59 + str x4, [sp, #48] + extr x2, x5, x2, #59 + str x2, [sp, #56] + ldr x7, [sp, #64] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #96] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + str x4, [sp, #64] + adc x2, x2, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x5, x19, x0 + adc x3, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x5, x5, x0 + str x5, [sp, #96] + adc x3, x3, x1 + ldr x7, [sp, #72] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #104] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + str x2, [sp, #72] + adc x6, x6, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x3, x3, x0 + str x3, [sp, #104] + adc x4, x4, x1 + ldr x7, [sp, #80] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #112] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + str x6, [sp, #80] + adc x5, x5, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x4, x4, x0 + str x4, [sp, #112] + adc x2, x2, x1 + ldr x7, [sp, #88] + eor x1, x7, x14 + and x3, x14, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #120] + eor x1, x8, x15 + and x0, x15, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x3, x5, #63 + ldp x0, x1, [sp, #64] + add x6, x6, x3, asr #63 + mov x3, #0x13 + mul x4, x6, x3 + add x5, x5, x6, lsl #63 + smulh x3, x6, x3 + ldr x6, [sp, #80] + adds x0, x0, x4 + adcs x1, x1, x3 + asr x3, x3, #63 + adcs x6, x6, x3 + adc x5, x5, x3 + stp x0, x1, [sp, #64] + stp x6, x5, [sp, #80] + eor x1, x7, x16 + and x5, x16, x12 + neg x5, x5 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, x17 + and x0, x17, x13 + sub x5, x5, x0 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x2, x2, x0 + adc x5, x5, x1 + extr x6, x5, x2, #63 + ldp x0, x1, [sp, #96] + add x6, x6, x5, asr #63 + mov x5, #0x13 + mul x4, x6, x5 + add x2, x2, x6, lsl #63 + smulh x5, x6, x5 + ldr x3, [sp, #112] + adds x0, x0, x4 + adcs x1, x1, x5 + asr x5, x5, #63 + adcs x3, x3, x5 + adc x2, x2, x5 + stp x0, x1, [sp, #96] + stp x3, x2, [sp, #112] +Ledwards25519_scalarmulbase_invmidloop: + mov x1, x22 + ldr x2, [sp] + ldr x3, [sp, #32] + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x8, x4, #0x100, lsl #12 + sbfx x8, x8, #21, #21 + mov x11, #0x100000 + add x11, x11, x11, lsl #21 + add x9, x4, x11 + asr x9, x9, #42 + add x10, x5, #0x100, lsl #12 + sbfx x10, x10, #21, #21 + add x11, x5, x11 + asr x11, x11, #42 + mul x6, x8, x2 + mul x7, x9, x3 + mul x2, x10, x2 + mul x3, x11, x3 + add x4, x6, x7 + add x5, x2, x3 + asr x2, x4, #20 + asr x3, x5, #20 + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x12, x4, #0x100, lsl #12 + sbfx x12, x12, #21, #21 + mov x15, #0x100000 + add x15, x15, x15, lsl #21 + add x13, x4, x15 + asr x13, x13, #42 + add x14, x5, #0x100, lsl #12 + sbfx x14, x14, #21, #21 + add x15, x5, x15 + asr x15, x15, #42 + mul x6, x12, x2 + mul x7, x13, x3 + mul x2, x14, x2 + mul x3, x15, x3 + add x4, x6, x7 + add x5, x2, x3 + asr x2, x4, #20 + asr x3, x5, #20 + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + mul x2, x12, x8 + mul x3, x12, x9 + mul x6, x14, x8 + mul x7, x14, x9 + madd x8, x13, x10, x2 + madd x9, x13, x11, x3 + madd x16, x15, x10, x6 + madd x17, x15, x11, x7 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x12, x4, #0x100, lsl #12 + sbfx x12, x12, #22, #21 + mov x15, #0x100000 + add x15, x15, x15, lsl #21 + add x13, x4, x15 + asr x13, x13, #43 + add x14, x5, #0x100, lsl #12 + sbfx x14, x14, #22, #21 + add x15, x5, x15 + asr x15, x15, #43 + mneg x2, x12, x8 + mneg x3, x12, x9 + mneg x4, x14, x8 + mneg x5, x14, x9 + msub x10, x13, x16, x2 + msub x11, x13, x17, x3 + msub x12, x15, x16, x4 + msub x13, x15, x17, x5 + mov x22, x1 + subs x21, x21, #0x1 + b.ne Ledwards25519_scalarmulbase_invloop + ldr x0, [sp] + ldr x1, [sp, #32] + mul x0, x0, x10 + madd x1, x1, x11, x0 + asr x0, x1, #63 + cmp x10, xzr + csetm x14, mi + cneg x10, x10, mi + eor x14, x14, x0 + cmp x11, xzr + csetm x15, mi + cneg x11, x11, mi + eor x15, x15, x0 + cmp x12, xzr + csetm x16, mi + cneg x12, x12, mi + eor x16, x16, x0 + cmp x13, xzr + csetm x17, mi + cneg x13, x13, mi + eor x17, x17, x0 + and x0, x10, x14 + and x1, x11, x15 + add x9, x0, x1 + ldr x7, [sp, #64] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #96] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + str x4, [sp, #64] + adc x2, x2, x1 + ldr x7, [sp, #72] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #104] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + str x2, [sp, #72] + adc x6, x6, x1 + ldr x7, [sp, #80] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #112] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + str x6, [sp, #80] + adc x5, x5, x1 + ldr x7, [sp, #88] + eor x1, x7, x14 + and x3, x14, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #120] + eor x1, x8, x15 + and x0, x15, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x3, x5, #63 + ldp x0, x1, [sp, #64] + tst x3, x3 + cinc x6, x6, pl + mov x3, #0x13 + mul x4, x6, x3 + add x5, x5, x6, lsl #63 + smulh x6, x6, x3 + ldr x2, [sp, #80] + adds x0, x0, x4 + adcs x1, x1, x6 + asr x6, x6, #63 + adcs x2, x2, x6 + adcs x5, x5, x6 + csel x3, x3, xzr, mi + subs x0, x0, x3 + sbcs x1, x1, xzr + sbcs x2, x2, xzr + sbc x5, x5, xzr + and x5, x5, #0x7fffffffffffffff + mov x4, x20 + stp x0, x1, [x4] + stp x2, x5, [x4, #16] + +// The final result is x = X * inv(Z), y = Y * inv(Z). +// These are the only operations in the whole computation that +// fully reduce modulo p_25519 since now we want the canonical +// answer as output. + + mul_p25519(resx,x_3,w_3) + mul_p25519(resy,y_3,w_3) + +// Restore stack and registers + + CFI_INC_SP(NSPACE) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(edwards25519_scalarmulbase) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif + +// **************************************************************************** +// The precomputed data (all read-only). +// **************************************************************************** + +#if defined(__ELF__) +.section .rodata +.type S2N_BN_SYMBOL(edwards25519_scalarmulbase_constant), %object +.size S2N_BN_SYMBOL(edwards25519_scalarmulbase_constant), 48576 +#elif defined(__APPLE__) +.const_data +#endif + +S2N_BN_SYMBOL(edwards25519_scalarmulbase_constant): + +// 0 * B = 0 and 2^251 * B in extended-projective coordinates +// but with Z = 1 assumed and hence left out, so they are (X,Y,T) only. + + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000001 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + + .quad 0x525f946d7c7220e7 + .quad 0x4636b0b2f1e35444 + .quad 0x796e9d70e892ae0f + .quad 0x03dec05fa937adb1 + .quad 0x6d1c271cc6375515 + .quad 0x462588c4a4ca4f14 + .quad 0x691129fee55afc39 + .quad 0x15949f784d8472f5 + .quad 0xbd89e510afad0049 + .quad 0x4d1f08c073b9860e + .quad 0x07716e8b2d00af9d + .quad 0x70d685f68f859714 + +// Precomputed table of multiples of generator for edwards25519 +// all in precomputed extended-projective (y-x,x+y,2*d*x*y) triples. + + // 2^0 * 1 * G + + .quad 0x9d103905d740913e + .quad 0xfd399f05d140beb3 + .quad 0xa5c18434688f8a09 + .quad 0x44fd2f9298f81267 + .quad 0x2fbc93c6f58c3b85 + .quad 0xcf932dc6fb8c0e19 + .quad 0x270b4898643d42c2 + .quad 0x07cf9d3a33d4ba65 + .quad 0xabc91205877aaa68 + .quad 0x26d9e823ccaac49e + .quad 0x5a1b7dcbdd43598c + .quad 0x6f117b689f0c65a8 + + // 2^0 * 2 * G + + .quad 0x8a99a56042b4d5a8 + .quad 0x8f2b810c4e60acf6 + .quad 0xe09e236bb16e37aa + .quad 0x6bb595a669c92555 + .quad 0x9224e7fc933c71d7 + .quad 0x9f469d967a0ff5b5 + .quad 0x5aa69a65e1d60702 + .quad 0x590c063fa87d2e2e + .quad 0x43faa8b3a59b7a5f + .quad 0x36c16bdd5d9acf78 + .quad 0x500fa0840b3d6a31 + .quad 0x701af5b13ea50b73 + + // 2^0 * 3 * G + + .quad 0x56611fe8a4fcd265 + .quad 0x3bd353fde5c1ba7d + .quad 0x8131f31a214bd6bd + .quad 0x2ab91587555bda62 + .quad 0xaf25b0a84cee9730 + .quad 0x025a8430e8864b8a + .quad 0xc11b50029f016732 + .quad 0x7a164e1b9a80f8f4 + .quad 0x14ae933f0dd0d889 + .quad 0x589423221c35da62 + .quad 0xd170e5458cf2db4c + .quad 0x5a2826af12b9b4c6 + + // 2^0 * 4 * G + + .quad 0x95fe050a056818bf + .quad 0x327e89715660faa9 + .quad 0xc3e8e3cd06a05073 + .quad 0x27933f4c7445a49a + .quad 0x287351b98efc099f + .quad 0x6765c6f47dfd2538 + .quad 0xca348d3dfb0a9265 + .quad 0x680e910321e58727 + .quad 0x5a13fbe9c476ff09 + .quad 0x6e9e39457b5cc172 + .quad 0x5ddbdcf9102b4494 + .quad 0x7f9d0cbf63553e2b + + // 2^0 * 5 * G + + .quad 0x7f9182c3a447d6ba + .quad 0xd50014d14b2729b7 + .quad 0xe33cf11cb864a087 + .quad 0x154a7e73eb1b55f3 + .quad 0xa212bc4408a5bb33 + .quad 0x8d5048c3c75eed02 + .quad 0xdd1beb0c5abfec44 + .quad 0x2945ccf146e206eb + .quad 0xbcbbdbf1812a8285 + .quad 0x270e0807d0bdd1fc + .quad 0xb41b670b1bbda72d + .quad 0x43aabe696b3bb69a + + // 2^0 * 6 * G + + .quad 0x499806b67b7d8ca4 + .quad 0x575be28427d22739 + .quad 0xbb085ce7204553b9 + .quad 0x38b64c41ae417884 + .quad 0x3a0ceeeb77157131 + .quad 0x9b27158900c8af88 + .quad 0x8065b668da59a736 + .quad 0x51e57bb6a2cc38bd + .quad 0x85ac326702ea4b71 + .quad 0xbe70e00341a1bb01 + .quad 0x53e4a24b083bc144 + .quad 0x10b8e91a9f0d61e3 + + // 2^0 * 7 * G + + .quad 0xba6f2c9aaa3221b1 + .quad 0x6ca021533bba23a7 + .quad 0x9dea764f92192c3a + .quad 0x1d6edd5d2e5317e0 + .quad 0x6b1a5cd0944ea3bf + .quad 0x7470353ab39dc0d2 + .quad 0x71b2528228542e49 + .quad 0x461bea69283c927e + .quad 0xf1836dc801b8b3a2 + .quad 0xb3035f47053ea49a + .quad 0x529c41ba5877adf3 + .quad 0x7a9fbb1c6a0f90a7 + + // 2^0 * 8 * G + + .quad 0xe2a75dedf39234d9 + .quad 0x963d7680e1b558f9 + .quad 0x2c2741ac6e3c23fb + .quad 0x3a9024a1320e01c3 + .quad 0x59b7596604dd3e8f + .quad 0x6cb30377e288702c + .quad 0xb1339c665ed9c323 + .quad 0x0915e76061bce52f + .quad 0xe7c1f5d9c9a2911a + .quad 0xb8a371788bcca7d7 + .quad 0x636412190eb62a32 + .quad 0x26907c5c2ecc4e95 + + // 2^4 * 1 * B + + .quad 0x7ec851ca553e2df3 + .quad 0xa71284cba64878b3 + .quad 0xe6b5e4193288d1e7 + .quad 0x4cf210ec5a9a8883 + .quad 0x322d04a52d9021f6 + .quad 0xb9c19f3375c6bf9c + .quad 0x587a3a4342d20b09 + .quad 0x143b1cf8aa64fe61 + .quad 0x9f867c7d968acaab + .quad 0x5f54258e27092729 + .quad 0xd0a7d34bea180975 + .quad 0x21b546a3374126e1 + + // 2^4 * 2 * B + + .quad 0xa94ff858a2888343 + .quad 0xce0ed4565313ed3c + .quad 0xf55c3dcfb5bf34fa + .quad 0x0a653ca5c9eab371 + .quad 0x490a7a45d185218f + .quad 0x9a15377846049335 + .quad 0x0060ea09cc31e1f6 + .quad 0x7e041577f86ee965 + .quad 0x66b2a496ce5b67f3 + .quad 0xff5492d8bd569796 + .quad 0x503cec294a592cd0 + .quad 0x566943650813acb2 + + // 2^4 * 3 * B + + .quad 0xb818db0c26620798 + .quad 0x5d5c31d9606e354a + .quad 0x0982fa4f00a8cdc7 + .quad 0x17e12bcd4653e2d4 + .quad 0x5672f9eb1dabb69d + .quad 0xba70b535afe853fc + .quad 0x47ac0f752796d66d + .quad 0x32a5351794117275 + .quad 0xd3a644a6df648437 + .quad 0x703b6559880fbfdd + .quad 0xcb852540ad3a1aa5 + .quad 0x0900b3f78e4c6468 + + // 2^4 * 4 * B + + .quad 0x0a851b9f679d651b + .quad 0xe108cb61033342f2 + .quad 0xd601f57fe88b30a3 + .quad 0x371f3acaed2dd714 + .quad 0xed280fbec816ad31 + .quad 0x52d9595bd8e6efe3 + .quad 0x0fe71772f6c623f5 + .quad 0x4314030b051e293c + .quad 0xd560005efbf0bcad + .quad 0x8eb70f2ed1870c5e + .quad 0x201f9033d084e6a0 + .quad 0x4c3a5ae1ce7b6670 + + // 2^4 * 5 * B + + .quad 0x4138a434dcb8fa95 + .quad 0x870cf67d6c96840b + .quad 0xde388574297be82c + .quad 0x7c814db27262a55a + .quad 0xbaf875e4c93da0dd + .quad 0xb93282a771b9294d + .quad 0x80d63fb7f4c6c460 + .quad 0x6de9c73dea66c181 + .quad 0x478904d5a04df8f2 + .quad 0xfafbae4ab10142d3 + .quad 0xf6c8ac63555d0998 + .quad 0x5aac4a412f90b104 + + // 2^4 * 6 * B + + .quad 0xc64f326b3ac92908 + .quad 0x5551b282e663e1e0 + .quad 0x476b35f54a1a4b83 + .quad 0x1b9da3fe189f68c2 + .quad 0x603a0d0abd7f5134 + .quad 0x8089c932e1d3ae46 + .quad 0xdf2591398798bd63 + .quad 0x1c145cd274ba0235 + .quad 0x32e8386475f3d743 + .quad 0x365b8baf6ae5d9ef + .quad 0x825238b6385b681e + .quad 0x234929c1167d65e1 + + // 2^4 * 7 * B + + .quad 0x984decaba077ade8 + .quad 0x383f77ad19eb389d + .quad 0xc7ec6b7e2954d794 + .quad 0x59c77b3aeb7c3a7a + .quad 0x48145cc21d099fcf + .quad 0x4535c192cc28d7e5 + .quad 0x80e7c1e548247e01 + .quad 0x4a5f28743b2973ee + .quad 0xd3add725225ccf62 + .quad 0x911a3381b2152c5d + .quad 0xd8b39fad5b08f87d + .quad 0x6f05606b4799fe3b + + // 2^4 * 8 * B + + .quad 0x9ffe9e92177ba962 + .quad 0x98aee71d0de5cae1 + .quad 0x3ff4ae942d831044 + .quad 0x714de12e58533ac8 + .quad 0x5b433149f91b6483 + .quad 0xadb5dc655a2cbf62 + .quad 0x87fa8412632827b3 + .quad 0x60895e91ab49f8d8 + .quad 0xe9ecf2ed0cf86c18 + .quad 0xb46d06120735dfd4 + .quad 0xbc9da09804b96be7 + .quad 0x73e2e62fd96dc26b + + // 2^8 * 1 * B + + .quad 0xed5b635449aa515e + .quad 0xa865c49f0bc6823a + .quad 0x850c1fe95b42d1c4 + .quad 0x30d76d6f03d315b9 + .quad 0x2eccdd0e632f9c1d + .quad 0x51d0b69676893115 + .quad 0x52dfb76ba8637a58 + .quad 0x6dd37d49a00eef39 + .quad 0x6c4444172106e4c7 + .quad 0xfb53d680928d7f69 + .quad 0xb4739ea4694d3f26 + .quad 0x10c697112e864bb0 + + // 2^8 * 2 * B + + .quad 0x6493c4277dbe5fde + .quad 0x265d4fad19ad7ea2 + .quad 0x0e00dfc846304590 + .quad 0x25e61cabed66fe09 + .quad 0x0ca62aa08358c805 + .quad 0x6a3d4ae37a204247 + .quad 0x7464d3a63b11eddc + .quad 0x03bf9baf550806ef + .quad 0x3f13e128cc586604 + .quad 0x6f5873ecb459747e + .quad 0xa0b63dedcc1268f5 + .quad 0x566d78634586e22c + + // 2^8 * 3 * B + + .quad 0x1637a49f9cc10834 + .quad 0xbc8e56d5a89bc451 + .quad 0x1cb5ec0f7f7fd2db + .quad 0x33975bca5ecc35d9 + .quad 0xa1054285c65a2fd0 + .quad 0x6c64112af31667c3 + .quad 0x680ae240731aee58 + .quad 0x14fba5f34793b22a + .quad 0x3cd746166985f7d4 + .quad 0x593e5e84c9c80057 + .quad 0x2fc3f2b67b61131e + .quad 0x14829cea83fc526c + + // 2^8 * 4 * B + + .quad 0xff437b8497dd95c2 + .quad 0x6c744e30aa4eb5a7 + .quad 0x9e0c5d613c85e88b + .quad 0x2fd9c71e5f758173 + .quad 0x21e70b2f4e71ecb8 + .quad 0xe656ddb940a477e3 + .quad 0xbf6556cece1d4f80 + .quad 0x05fc3bc4535d7b7e + .quad 0x24b8b3ae52afdedd + .quad 0x3495638ced3b30cf + .quad 0x33a4bc83a9be8195 + .quad 0x373767475c651f04 + + // 2^8 * 5 * B + + .quad 0x2fba99fd40d1add9 + .quad 0xb307166f96f4d027 + .quad 0x4363f05215f03bae + .quad 0x1fbea56c3b18f999 + .quad 0x634095cb14246590 + .quad 0xef12144016c15535 + .quad 0x9e38140c8910bc60 + .quad 0x6bf5905730907c8c + .quad 0x0fa778f1e1415b8a + .quad 0x06409ff7bac3a77e + .quad 0x6f52d7b89aa29a50 + .quad 0x02521cf67a635a56 + + // 2^8 * 6 * B + + .quad 0x513fee0b0a9d5294 + .quad 0x8f98e75c0fdf5a66 + .quad 0xd4618688bfe107ce + .quad 0x3fa00a7e71382ced + .quad 0xb1146720772f5ee4 + .quad 0xe8f894b196079ace + .quad 0x4af8224d00ac824a + .quad 0x001753d9f7cd6cc4 + .quad 0x3c69232d963ddb34 + .quad 0x1dde87dab4973858 + .quad 0xaad7d1f9a091f285 + .quad 0x12b5fe2fa048edb6 + + // 2^8 * 7 * B + + .quad 0x71f0fbc496fce34d + .quad 0x73b9826badf35bed + .quad 0xd2047261ff28c561 + .quad 0x749b76f96fb1206f + .quad 0xdf2b7c26ad6f1e92 + .quad 0x4b66d323504b8913 + .quad 0x8c409dc0751c8bc3 + .quad 0x6f7e93c20796c7b8 + .quad 0x1f5af604aea6ae05 + .quad 0xc12351f1bee49c99 + .quad 0x61a808b5eeff6b66 + .quad 0x0fcec10f01e02151 + + // 2^8 * 8 * B + + .quad 0x644d58a649fe1e44 + .quad 0x21fcaea231ad777e + .quad 0x02441c5a887fd0d2 + .quad 0x4901aa7183c511f3 + .quad 0x3df2d29dc4244e45 + .quad 0x2b020e7493d8de0a + .quad 0x6cc8067e820c214d + .quad 0x413779166feab90a + .quad 0x08b1b7548c1af8f0 + .quad 0xce0f7a7c246299b4 + .quad 0xf760b0f91e06d939 + .quad 0x41bb887b726d1213 + + // 2^12 * 1 * B + + .quad 0x9267806c567c49d8 + .quad 0x066d04ccca791e6a + .quad 0xa69f5645e3cc394b + .quad 0x5c95b686a0788cd2 + .quad 0x97d980e0aa39f7d2 + .quad 0x35d0384252c6b51c + .quad 0x7d43f49307cd55aa + .quad 0x56bd36cfb78ac362 + .quad 0x2ac519c10d14a954 + .quad 0xeaf474b494b5fa90 + .quad 0xe6af8382a9f87a5a + .quad 0x0dea6db1879be094 + + // 2^12 * 2 * B + + .quad 0xaa66bf547344e5ab + .quad 0xda1258888f1b4309 + .quad 0x5e87d2b3fd564b2f + .quad 0x5b2c78885483b1dd + .quad 0x15baeb74d6a8797a + .quad 0x7ef55cf1fac41732 + .quad 0x29001f5a3c8b05c5 + .quad 0x0ad7cc8752eaccfb + .quad 0x52151362793408cf + .quad 0xeb0f170319963d94 + .quad 0xa833b2fa883d9466 + .quad 0x093a7fa775003c78 + + // 2^12 * 3 * B + + .quad 0xe5107de63a16d7be + .quad 0xa377ffdc9af332cf + .quad 0x70d5bf18440b677f + .quad 0x6a252b19a4a31403 + .quad 0xb8e9604460a91286 + .quad 0x7f3fd8047778d3de + .quad 0x67d01e31bf8a5e2d + .quad 0x7b038a06c27b653e + .quad 0x9ed919d5d36990f3 + .quad 0x5213aebbdb4eb9f2 + .quad 0xc708ea054cb99135 + .quad 0x58ded57f72260e56 + + // 2^12 * 4 * B + + .quad 0x78e79dade9413d77 + .quad 0xf257f9d59729e67d + .quad 0x59db910ee37aa7e6 + .quad 0x6aa11b5bbb9e039c + .quad 0xda6d53265b0fd48b + .quad 0x8960823193bfa988 + .quad 0xd78ac93261d57e28 + .quad 0x79f2942d3a5c8143 + .quad 0x97da2f25b6c88de9 + .quad 0x251ba7eaacf20169 + .quad 0x09b44f87ef4eb4e4 + .quad 0x7d90ab1bbc6a7da5 + + // 2^12 * 5 * B + + .quad 0x9acca683a7016bfe + .quad 0x90505f4df2c50b6d + .quad 0x6b610d5fcce435aa + .quad 0x19a10d446198ff96 + .quad 0x1a07a3f496b3c397 + .quad 0x11ceaa188f4e2532 + .quad 0x7d9498d5a7751bf0 + .quad 0x19ed161f508dd8a0 + .quad 0x560a2cd687dce6ca + .quad 0x7f3568c48664cf4d + .quad 0x8741e95222803a38 + .quad 0x483bdab1595653fc + + // 2^12 * 6 * B + + .quad 0xfa780f148734fa49 + .quad 0x106f0b70360534e0 + .quad 0x2210776fe3e307bd + .quad 0x3286c109dde6a0fe + .quad 0xd6cf4d0ab4da80f6 + .quad 0x82483e45f8307fe0 + .quad 0x05005269ae6f9da4 + .quad 0x1c7052909cf7877a + .quad 0x32ee7de2874e98d4 + .quad 0x14c362e9b97e0c60 + .quad 0x5781dcde6a60a38a + .quad 0x217dd5eaaa7aa840 + + // 2^12 * 7 * B + + .quad 0x9db7c4d0248e1eb0 + .quad 0xe07697e14d74bf52 + .quad 0x1e6a9b173c562354 + .quad 0x7fa7c21f795a4965 + .quad 0x8bdf1fb9be8c0ec8 + .quad 0x00bae7f8e30a0282 + .quad 0x4963991dad6c4f6c + .quad 0x07058a6e5df6f60a + .quad 0xe9eb02c4db31f67f + .quad 0xed25fd8910bcfb2b + .quad 0x46c8131f5c5cddb4 + .quad 0x33b21c13a0cb9bce + + // 2^12 * 8 * B + + .quad 0x360692f8087d8e31 + .quad 0xf4dcc637d27163f7 + .quad 0x25a4e62065ea5963 + .quad 0x659bf72e5ac160d9 + .quad 0x9aafb9b05ee38c5b + .quad 0xbf9d2d4e071a13c7 + .quad 0x8eee6e6de933290a + .quad 0x1c3bab17ae109717 + .quad 0x1c9ab216c7cab7b0 + .quad 0x7d65d37407bbc3cc + .quad 0x52744750504a58d5 + .quad 0x09f2606b131a2990 + + // 2^16 * 1 * B + + .quad 0x40e87d44744346be + .quad 0x1d48dad415b52b25 + .quad 0x7c3a8a18a13b603e + .quad 0x4eb728c12fcdbdf7 + .quad 0x7e234c597c6691ae + .quad 0x64889d3d0a85b4c8 + .quad 0xdae2c90c354afae7 + .quad 0x0a871e070c6a9e1d + .quad 0x3301b5994bbc8989 + .quad 0x736bae3a5bdd4260 + .quad 0x0d61ade219d59e3c + .quad 0x3ee7300f2685d464 + + // 2^16 * 2 * B + + .quad 0xf5d255e49e7dd6b7 + .quad 0x8016115c610b1eac + .quad 0x3c99975d92e187ca + .quad 0x13815762979125c2 + .quad 0x43fa7947841e7518 + .quad 0xe5c6fa59639c46d7 + .quad 0xa1065e1de3052b74 + .quad 0x7d47c6a2cfb89030 + .quad 0x3fdad0148ef0d6e0 + .quad 0x9d3e749a91546f3c + .quad 0x71ec621026bb8157 + .quad 0x148cf58d34c9ec80 + + // 2^16 * 3 * B + + .quad 0x46a492f67934f027 + .quad 0x469984bef6840aa9 + .quad 0x5ca1bc2a89611854 + .quad 0x3ff2fa1ebd5dbbd4 + .quad 0xe2572f7d9ae4756d + .quad 0x56c345bb88f3487f + .quad 0x9fd10b6d6960a88d + .quad 0x278febad4eaea1b9 + .quad 0xb1aa681f8c933966 + .quad 0x8c21949c20290c98 + .quad 0x39115291219d3c52 + .quad 0x4104dd02fe9c677b + + // 2^16 * 4 * B + + .quad 0x72b2bf5e1124422a + .quad 0xa1fa0c3398a33ab5 + .quad 0x94cb6101fa52b666 + .quad 0x2c863b00afaf53d5 + .quad 0x81214e06db096ab8 + .quad 0x21a8b6c90ce44f35 + .quad 0x6524c12a409e2af5 + .quad 0x0165b5a48efca481 + .quad 0xf190a474a0846a76 + .quad 0x12eff984cd2f7cc0 + .quad 0x695e290658aa2b8f + .quad 0x591b67d9bffec8b8 + + // 2^16 * 5 * B + + .quad 0x312f0d1c80b49bfa + .quad 0x5979515eabf3ec8a + .quad 0x727033c09ef01c88 + .quad 0x3de02ec7ca8f7bcb + .quad 0x99b9b3719f18b55d + .quad 0xe465e5faa18c641e + .quad 0x61081136c29f05ed + .quad 0x489b4f867030128b + .quad 0xd232102d3aeb92ef + .quad 0xe16253b46116a861 + .quad 0x3d7eabe7190baa24 + .quad 0x49f5fbba496cbebf + + // 2^16 * 6 * B + + .quad 0x30949a108a5bcfd4 + .quad 0xdc40dd70bc6473eb + .quad 0x92c294c1307c0d1c + .quad 0x5604a86dcbfa6e74 + .quad 0x155d628c1e9c572e + .quad 0x8a4d86acc5884741 + .quad 0x91a352f6515763eb + .quad 0x06a1a6c28867515b + .quad 0x7288d1d47c1764b6 + .quad 0x72541140e0418b51 + .quad 0x9f031a6018acf6d1 + .quad 0x20989e89fe2742c6 + + // 2^16 * 7 * B + + .quad 0x499777fd3a2dcc7f + .quad 0x32857c2ca54fd892 + .quad 0xa279d864d207e3a0 + .quad 0x0403ed1d0ca67e29 + .quad 0x1674278b85eaec2e + .quad 0x5621dc077acb2bdf + .quad 0x640a4c1661cbf45a + .quad 0x730b9950f70595d3 + .quad 0xc94b2d35874ec552 + .quad 0xc5e6c8cf98246f8d + .quad 0xf7cb46fa16c035ce + .quad 0x5bd7454308303dcc + + // 2^16 * 8 * B + + .quad 0x7f9ad19528b24cc2 + .quad 0x7f6b54656335c181 + .quad 0x66b8b66e4fc07236 + .quad 0x133a78007380ad83 + .quad 0x85c4932115e7792a + .quad 0xc64c89a2bdcdddc9 + .quad 0x9d1e3da8ada3d762 + .quad 0x5bb7db123067f82c + .quad 0x0961f467c6ca62be + .quad 0x04ec21d6211952ee + .quad 0x182360779bd54770 + .quad 0x740dca6d58f0e0d2 + + // 2^20 * 1 * B + + .quad 0x50b70bf5d3f0af0b + .quad 0x4feaf48ae32e71f7 + .quad 0x60e84ed3a55bbd34 + .quad 0x00ed489b3f50d1ed + .quad 0x3906c72aed261ae5 + .quad 0x9ab68fd988e100f7 + .quad 0xf5e9059af3360197 + .quad 0x0e53dc78bf2b6d47 + .quad 0xb90829bf7971877a + .quad 0x5e4444636d17e631 + .quad 0x4d05c52e18276893 + .quad 0x27632d9a5a4a4af5 + + // 2^20 * 2 * B + + .quad 0xd11ff05154b260ce + .quad 0xd86dc38e72f95270 + .quad 0x601fcd0d267cc138 + .quad 0x2b67916429e90ccd + .quad 0xa98285d187eaffdb + .quad 0xa5b4fbbbd8d0a864 + .quad 0xb658f27f022663f7 + .quad 0x3bbc2b22d99ce282 + .quad 0xb917c952583c0a58 + .quad 0x653ff9b80fe4c6f3 + .quad 0x9b0da7d7bcdf3c0c + .quad 0x43a0eeb6ab54d60e + + // 2^20 * 3 * B + + .quad 0x396966a46d4a5487 + .quad 0xf811a18aac2bb3ba + .quad 0x66e4685b5628b26b + .quad 0x70a477029d929b92 + .quad 0x3ac6322357875fe8 + .quad 0xd9d4f4ecf5fbcb8f + .quad 0x8dee8493382bb620 + .quad 0x50c5eaa14c799fdc + .quad 0xdd0edc8bd6f2fb3c + .quad 0x54c63aa79cc7b7a0 + .quad 0xae0b032b2c8d9f1a + .quad 0x6f9ce107602967fb + + // 2^20 * 4 * B + + .quad 0xad1054b1cde1c22a + .quad 0xc4a8e90248eb32df + .quad 0x5f3e7b33accdc0ea + .quad 0x72364713fc79963e + .quad 0x139693063520e0b5 + .quad 0x437fcf7c88ea03fe + .quad 0xf7d4c40bd3c959bc + .quad 0x699154d1f893ded9 + .quad 0x315d5c75b4b27526 + .quad 0xcccb842d0236daa5 + .quad 0x22f0c8a3345fee8e + .quad 0x73975a617d39dbed + + // 2^20 * 5 * B + + .quad 0xe4024df96375da10 + .quad 0x78d3251a1830c870 + .quad 0x902b1948658cd91c + .quad 0x7e18b10b29b7438a + .quad 0x6f37f392f4433e46 + .quad 0x0e19b9a11f566b18 + .quad 0x220fb78a1fd1d662 + .quad 0x362a4258a381c94d + .quad 0x9071d9132b6beb2f + .quad 0x0f26e9ad28418247 + .quad 0xeab91ec9bdec925d + .quad 0x4be65bc8f48af2de + + // 2^20 * 6 * B + + .quad 0x78487feba36e7028 + .quad 0x5f3f13001dd8ce34 + .quad 0x934fb12d4b30c489 + .quad 0x056c244d397f0a2b + .quad 0x1d50fba257c26234 + .quad 0x7bd4823adeb0678b + .quad 0xc2b0dc6ea6538af5 + .quad 0x5665eec6351da73e + .quad 0xdb3ee00943bfb210 + .quad 0x4972018720800ac2 + .quad 0x26ab5d6173bd8667 + .quad 0x20b209c2ab204938 + + // 2^20 * 7 * B + + .quad 0x549e342ac07fb34b + .quad 0x02d8220821373d93 + .quad 0xbc262d70acd1f567 + .quad 0x7a92c9fdfbcac784 + .quad 0x1fcca94516bd3289 + .quad 0x448d65aa41420428 + .quad 0x59c3b7b216a55d62 + .quad 0x49992cc64e612cd8 + .quad 0x65bd1bea70f801de + .quad 0x1befb7c0fe49e28a + .quad 0xa86306cdb1b2ae4a + .quad 0x3b7ac0cd265c2a09 + + // 2^20 * 8 * B + + .quad 0x822bee438c01bcec + .quad 0x530cb525c0fbc73b + .quad 0x48519034c1953fe9 + .quad 0x265cc261e09a0f5b + .quad 0xf0d54e4f22ed39a7 + .quad 0xa2aae91e5608150a + .quad 0xf421b2e9eddae875 + .quad 0x31bc531d6b7de992 + .quad 0xdf3d134da980f971 + .quad 0x7a4fb8d1221a22a7 + .quad 0x3df7d42035aad6d8 + .quad 0x2a14edcc6a1a125e + + // 2^24 * 1 * B + + .quad 0xdf48ee0752cfce4e + .quad 0xc3fffaf306ec08b7 + .quad 0x05710b2ab95459c4 + .quad 0x161d25fa963ea38d + .quad 0x231a8c570478433c + .quad 0xb7b5270ec281439d + .quad 0xdbaa99eae3d9079f + .quad 0x2c03f5256c2b03d9 + .quad 0x790f18757b53a47d + .quad 0x307b0130cf0c5879 + .quad 0x31903d77257ef7f9 + .quad 0x699468bdbd96bbaf + + // 2^24 * 2 * B + + .quad 0xbd1f2f46f4dafecf + .quad 0x7cef0114a47fd6f7 + .quad 0xd31ffdda4a47b37f + .quad 0x525219a473905785 + .quad 0xd8dd3de66aa91948 + .quad 0x485064c22fc0d2cc + .quad 0x9b48246634fdea2f + .quad 0x293e1c4e6c4a2e3a + .quad 0x376e134b925112e1 + .quad 0x703778b5dca15da0 + .quad 0xb04589af461c3111 + .quad 0x5b605c447f032823 + + // 2^24 * 3 * B + + .quad 0xb965805920c47c89 + .quad 0xe7f0100c923b8fcc + .quad 0x0001256502e2ef77 + .quad 0x24a76dcea8aeb3ee + .quad 0x3be9fec6f0e7f04c + .quad 0x866a579e75e34962 + .quad 0x5542ef161e1de61a + .quad 0x2f12fef4cc5abdd5 + .quad 0x0a4522b2dfc0c740 + .quad 0x10d06e7f40c9a407 + .quad 0xc6cf144178cff668 + .quad 0x5e607b2518a43790 + + // 2^24 * 4 * B + + .quad 0x58b31d8f6cdf1818 + .quad 0x35cfa74fc36258a2 + .quad 0xe1b3ff4f66e61d6e + .quad 0x5067acab6ccdd5f7 + .quad 0xa02c431ca596cf14 + .quad 0xe3c42d40aed3e400 + .quad 0xd24526802e0f26db + .quad 0x201f33139e457068 + .quad 0xfd527f6b08039d51 + .quad 0x18b14964017c0006 + .quad 0xd5220eb02e25a4a8 + .quad 0x397cba8862460375 + + // 2^24 * 5 * B + + .quad 0x30c13093f05959b2 + .quad 0xe23aa18de9a97976 + .quad 0x222fd491721d5e26 + .quad 0x2339d320766e6c3a + .quad 0x7815c3fbc81379e7 + .quad 0xa6619420dde12af1 + .quad 0xffa9c0f885a8fdd5 + .quad 0x771b4022c1e1c252 + .quad 0xd87dd986513a2fa7 + .quad 0xf5ac9b71f9d4cf08 + .quad 0xd06bc31b1ea283b3 + .quad 0x331a189219971a76 + + // 2^24 * 6 * B + + .quad 0xf5166f45fb4f80c6 + .quad 0x9c36c7de61c775cf + .quad 0xe3d4e81b9041d91c + .quad 0x31167c6b83bdfe21 + .quad 0x26512f3a9d7572af + .quad 0x5bcbe28868074a9e + .quad 0x84edc1c11180f7c4 + .quad 0x1ac9619ff649a67b + .quad 0xf22b3842524b1068 + .quad 0x5068343bee9ce987 + .quad 0xfc9d71844a6250c8 + .quad 0x612436341f08b111 + + // 2^24 * 7 * B + + .quad 0xd99d41db874e898d + .quad 0x09fea5f16c07dc20 + .quad 0x793d2c67d00f9bbc + .quad 0x46ebe2309e5eff40 + .quad 0x8b6349e31a2d2638 + .quad 0x9ddfb7009bd3fd35 + .quad 0x7f8bf1b8a3a06ba4 + .quad 0x1522aa3178d90445 + .quad 0x2c382f5369614938 + .quad 0xdafe409ab72d6d10 + .quad 0xe8c83391b646f227 + .quad 0x45fe70f50524306c + + // 2^24 * 8 * B + + .quad 0xda4875a6960c0b8c + .quad 0x5b68d076ef0e2f20 + .quad 0x07fb51cf3d0b8fd4 + .quad 0x428d1623a0e392d4 + .quad 0x62f24920c8951491 + .quad 0x05f007c83f630ca2 + .quad 0x6fbb45d2f5c9d4b8 + .quad 0x16619f6db57a2245 + .quad 0x084f4a4401a308fd + .quad 0xa82219c376a5caac + .quad 0xdeb8de4643d1bc7d + .quad 0x1d81592d60bd38c6 + + // 2^28 * 1 * B + + .quad 0xd833d7beec2a4c38 + .quad 0x2c9162830acc20ed + .quad 0xe93a47aa92df7581 + .quad 0x702d67a3333c4a81 + .quad 0x3a4a369a2f89c8a1 + .quad 0x63137a1d7c8de80d + .quad 0xbcac008a78eda015 + .quad 0x2cb8b3a5b483b03f + .quad 0x36e417cbcb1b90a1 + .quad 0x33b3ddaa7f11794e + .quad 0x3f510808885bc607 + .quad 0x24141dc0e6a8020d + + // 2^28 * 2 * B + + .quad 0x59f73c773fefee9d + .quad 0xb3f1ef89c1cf989d + .quad 0xe35dfb42e02e545f + .quad 0x5766120b47a1b47c + .quad 0x91925dccbd83157d + .quad 0x3ca1205322cc8094 + .quad 0x28e57f183f90d6e4 + .quad 0x1a4714cede2e767b + .quad 0xdb20ba0fb8b6b7ff + .quad 0xb732c3b677511fa1 + .quad 0xa92b51c099f02d89 + .quad 0x4f3875ad489ca5f1 + + // 2^28 * 3 * B + + .quad 0xc7fc762f4932ab22 + .quad 0x7ac0edf72f4c3c1b + .quad 0x5f6b55aa9aa895e8 + .quad 0x3680274dad0a0081 + .quad 0x79ed13f6ee73eec0 + .quad 0xa5c6526d69110bb1 + .quad 0xe48928c38603860c + .quad 0x722a1446fd7059f5 + .quad 0xd0959fe9a8cf8819 + .quad 0xd0a995508475a99c + .quad 0x6eac173320b09cc5 + .quad 0x628ecf04331b1095 + + // 2^28 * 4 * B + + .quad 0x98bcb118a9d0ddbc + .quad 0xee449e3408b4802b + .quad 0x87089226b8a6b104 + .quad 0x685f349a45c7915d + .quad 0x9b41acf85c74ccf1 + .quad 0xb673318108265251 + .quad 0x99c92aed11adb147 + .quad 0x7a47d70d34ecb40f + .quad 0x60a0c4cbcc43a4f5 + .quad 0x775c66ca3677bea9 + .quad 0xa17aa1752ff8f5ed + .quad 0x11ded9020e01fdc0 + + // 2^28 * 5 * B + + .quad 0x890e7809caefe704 + .quad 0x8728296de30e8c6c + .quad 0x4c5cd2a392aeb1c9 + .quad 0x194263d15771531f + .quad 0x471f95b03bea93b7 + .quad 0x0552d7d43313abd3 + .quad 0xbd9370e2e17e3f7b + .quad 0x7b120f1db20e5bec + .quad 0x17d2fb3d86502d7a + .quad 0xb564d84450a69352 + .quad 0x7da962c8a60ed75d + .quad 0x00d0f85b318736aa + + // 2^28 * 6 * B + + .quad 0x978b142e777c84fd + .quad 0xf402644705a8c062 + .quad 0xa67ad51be7e612c7 + .quad 0x2f7b459698dd6a33 + .quad 0xa6753c1efd7621c1 + .quad 0x69c0b4a7445671f5 + .quad 0x971f527405b23c11 + .quad 0x387bc74851a8c7cd + .quad 0x81894b4d4a52a9a8 + .quad 0xadd93e12f6b8832f + .quad 0x184d8548b61bd638 + .quad 0x3f1c62dbd6c9f6cd + + // 2^28 * 7 * B + + .quad 0x2e8f1f0091910c1f + .quad 0xa4df4fe0bff2e12c + .quad 0x60c6560aee927438 + .quad 0x6338283facefc8fa + .quad 0x3fad3e40148f693d + .quad 0x052656e194eb9a72 + .quad 0x2f4dcbfd184f4e2f + .quad 0x406f8db1c482e18b + .quad 0x9e630d2c7f191ee4 + .quad 0x4fbf8301bc3ff670 + .quad 0x787d8e4e7afb73c4 + .quad 0x50d83d5be8f58fa5 + + // 2^28 * 8 * B + + .quad 0x85683916c11a1897 + .quad 0x2d69a4efe506d008 + .quad 0x39af1378f664bd01 + .quad 0x65942131361517c6 + .quad 0xc0accf90b4d3b66d + .quad 0xa7059de561732e60 + .quad 0x033d1f7870c6b0ba + .quad 0x584161cd26d946e4 + .quad 0xbbf2b1a072d27ca2 + .quad 0xbf393c59fbdec704 + .quad 0xe98dbbcee262b81e + .quad 0x02eebd0b3029b589 + + // 2^32 * 1 * B + + .quad 0x61368756a60dac5f + .quad 0x17e02f6aebabdc57 + .quad 0x7f193f2d4cce0f7d + .quad 0x20234a7789ecdcf0 + .quad 0x8765b69f7b85c5e8 + .quad 0x6ff0678bd168bab2 + .quad 0x3a70e77c1d330f9b + .quad 0x3a5f6d51b0af8e7c + .quad 0x76d20db67178b252 + .quad 0x071c34f9d51ed160 + .quad 0xf62a4a20b3e41170 + .quad 0x7cd682353cffe366 + + // 2^32 * 2 * B + + .quad 0x0be1a45bd887fab6 + .quad 0x2a846a32ba403b6e + .quad 0xd9921012e96e6000 + .quad 0x2838c8863bdc0943 + .quad 0xa665cd6068acf4f3 + .quad 0x42d92d183cd7e3d3 + .quad 0x5759389d336025d9 + .quad 0x3ef0253b2b2cd8ff + .quad 0xd16bb0cf4a465030 + .quad 0xfa496b4115c577ab + .quad 0x82cfae8af4ab419d + .quad 0x21dcb8a606a82812 + + // 2^32 * 3 * B + + .quad 0x5c6004468c9d9fc8 + .quad 0x2540096ed42aa3cb + .quad 0x125b4d4c12ee2f9c + .quad 0x0bc3d08194a31dab + .quad 0x9a8d00fabe7731ba + .quad 0x8203607e629e1889 + .quad 0xb2cc023743f3d97f + .quad 0x5d840dbf6c6f678b + .quad 0x706e380d309fe18b + .quad 0x6eb02da6b9e165c7 + .quad 0x57bbba997dae20ab + .quad 0x3a4276232ac196dd + + // 2^32 * 4 * B + + .quad 0x4b42432c8a7084fa + .quad 0x898a19e3dfb9e545 + .quad 0xbe9f00219c58e45d + .quad 0x1ff177cea16debd1 + .quad 0x3bf8c172db447ecb + .quad 0x5fcfc41fc6282dbd + .quad 0x80acffc075aa15fe + .quad 0x0770c9e824e1a9f9 + .quad 0xcf61d99a45b5b5fd + .quad 0x860984e91b3a7924 + .quad 0xe7300919303e3e89 + .quad 0x39f264fd41500b1e + + // 2^32 * 5 * B + + .quad 0xa7ad3417dbe7e29c + .quad 0xbd94376a2b9c139c + .quad 0xa0e91b8e93597ba9 + .quad 0x1712d73468889840 + .quad 0xd19b4aabfe097be1 + .quad 0xa46dfce1dfe01929 + .quad 0xc3c908942ca6f1ff + .quad 0x65c621272c35f14e + .quad 0xe72b89f8ce3193dd + .quad 0x4d103356a125c0bb + .quad 0x0419a93d2e1cfe83 + .quad 0x22f9800ab19ce272 + + // 2^32 * 6 * B + + .quad 0x605a368a3e9ef8cb + .quad 0xe3e9c022a5504715 + .quad 0x553d48b05f24248f + .quad 0x13f416cd647626e5 + .quad 0x42029fdd9a6efdac + .quad 0xb912cebe34a54941 + .quad 0x640f64b987bdf37b + .quad 0x4171a4d38598cab4 + .quad 0xfa2758aa99c94c8c + .quad 0x23006f6fb000b807 + .quad 0xfbd291ddadda5392 + .quad 0x508214fa574bd1ab + + // 2^32 * 7 * B + + .quad 0xc20269153ed6fe4b + .quad 0xa65a6739511d77c4 + .quad 0xcbde26462c14af94 + .quad 0x22f960ec6faba74b + .quad 0x461a15bb53d003d6 + .quad 0xb2102888bcf3c965 + .quad 0x27c576756c683a5a + .quad 0x3a7758a4c86cb447 + .quad 0x548111f693ae5076 + .quad 0x1dae21df1dfd54a6 + .quad 0x12248c90f3115e65 + .quad 0x5d9fd15f8de7f494 + + // 2^32 * 8 * B + + .quad 0x031408d36d63727f + .quad 0x6a379aefd7c7b533 + .quad 0xa9e18fc5ccaee24b + .quad 0x332f35914f8fbed3 + .quad 0x3f244d2aeed7521e + .quad 0x8e3a9028432e9615 + .quad 0xe164ba772e9c16d4 + .quad 0x3bc187fa47eb98d8 + .quad 0x6d470115ea86c20c + .quad 0x998ab7cb6c46d125 + .quad 0xd77832b53a660188 + .quad 0x450d81ce906fba03 + + // 2^36 * 1 * B + + .quad 0xf8ae4d2ad8453902 + .quad 0x7018058ee8db2d1d + .quad 0xaab3995fc7d2c11e + .quad 0x53b16d2324ccca79 + .quad 0x23264d66b2cae0b5 + .quad 0x7dbaed33ebca6576 + .quad 0x030ebed6f0d24ac8 + .quad 0x2a887f78f7635510 + .quad 0x2a23b9e75c012d4f + .quad 0x0c974651cae1f2ea + .quad 0x2fb63273675d70ca + .quad 0x0ba7250b864403f5 + + // 2^36 * 2 * B + + .quad 0xbb0d18fd029c6421 + .quad 0xbc2d142189298f02 + .quad 0x8347f8e68b250e96 + .quad 0x7b9f2fe8032d71c9 + .quad 0xdd63589386f86d9c + .quad 0x61699176e13a85a4 + .quad 0x2e5111954eaa7d57 + .quad 0x32c21b57fb60bdfb + .quad 0xd87823cd319e0780 + .quad 0xefc4cfc1897775c5 + .quad 0x4854fb129a0ab3f7 + .quad 0x12c49d417238c371 + + // 2^36 * 3 * B + + .quad 0x0950b533ffe83769 + .quad 0x21861c1d8e1d6bd1 + .quad 0xf022d8381302e510 + .quad 0x2509200c6391cab4 + .quad 0x09b3a01783799542 + .quad 0x626dd08faad5ee3f + .quad 0xba00bceeeb70149f + .quad 0x1421b246a0a444c9 + .quad 0x4aa43a8e8c24a7c7 + .quad 0x04c1f540d8f05ef5 + .quad 0xadba5e0c0b3eb9dc + .quad 0x2ab5504448a49ce3 + + // 2^36 * 4 * B + + .quad 0x2ed227266f0f5dec + .quad 0x9824ee415ed50824 + .quad 0x807bec7c9468d415 + .quad 0x7093bae1b521e23f + .quad 0xdc07ac631c5d3afa + .quad 0x58615171f9df8c6c + .quad 0x72a079d89d73e2b0 + .quad 0x7301f4ceb4eae15d + .quad 0x6409e759d6722c41 + .quad 0xa674e1cf72bf729b + .quad 0xbc0a24eb3c21e569 + .quad 0x390167d24ebacb23 + + // 2^36 * 5 * B + + .quad 0x27f58e3bba353f1c + .quad 0x4c47764dbf6a4361 + .quad 0xafbbc4e56e562650 + .quad 0x07db2ee6aae1a45d + .quad 0xd7bb054ba2f2120b + .quad 0xe2b9ceaeb10589b7 + .quad 0x3fe8bac8f3c0edbe + .quad 0x4cbd40767112cb69 + .quad 0x0b603cc029c58176 + .quad 0x5988e3825cb15d61 + .quad 0x2bb61413dcf0ad8d + .quad 0x7b8eec6c74183287 + + // 2^36 * 6 * B + + .quad 0xe4ca40782cd27cb0 + .quad 0xdaf9c323fbe967bd + .quad 0xb29bd34a8ad41e9e + .quad 0x72810497626ede4d + .quad 0x32fee570fc386b73 + .quad 0xda8b0141da3a8cc7 + .quad 0x975ffd0ac8968359 + .quad 0x6ee809a1b132a855 + .quad 0x9444bb31fcfd863a + .quad 0x2fe3690a3e4e48c5 + .quad 0xdc29c867d088fa25 + .quad 0x13bd1e38d173292e + + // 2^36 * 7 * B + + .quad 0xd32b4cd8696149b5 + .quad 0xe55937d781d8aab7 + .quad 0x0bcb2127ae122b94 + .quad 0x41e86fcfb14099b0 + .quad 0x223fb5cf1dfac521 + .quad 0x325c25316f554450 + .quad 0x030b98d7659177ac + .quad 0x1ed018b64f88a4bd + .quad 0x3630dfa1b802a6b0 + .quad 0x880f874742ad3bd5 + .quad 0x0af90d6ceec5a4d4 + .quad 0x746a247a37cdc5d9 + + // 2^36 * 8 * B + + .quad 0xd531b8bd2b7b9af6 + .quad 0x5005093537fc5b51 + .quad 0x232fcf25c593546d + .quad 0x20a365142bb40f49 + .quad 0x6eccd85278d941ed + .quad 0x2254ae83d22f7843 + .quad 0xc522d02e7bbfcdb7 + .quad 0x681e3351bff0e4e2 + .quad 0x8b64b59d83034f45 + .quad 0x2f8b71f21fa20efb + .quad 0x69249495ba6550e4 + .quad 0x539ef98e45d5472b + + // 2^40 * 1 * B + + .quad 0x6e7bb6a1a6205275 + .quad 0xaa4f21d7413c8e83 + .quad 0x6f56d155e88f5cb2 + .quad 0x2de25d4ba6345be1 + .quad 0xd074d8961cae743f + .quad 0xf86d18f5ee1c63ed + .quad 0x97bdc55be7f4ed29 + .quad 0x4cbad279663ab108 + .quad 0x80d19024a0d71fcd + .quad 0xc525c20afb288af8 + .quad 0xb1a3974b5f3a6419 + .quad 0x7d7fbcefe2007233 + + // 2^40 * 2 * B + + .quad 0xfaef1e6a266b2801 + .quad 0x866c68c4d5739f16 + .quad 0xf68a2fbc1b03762c + .quad 0x5975435e87b75a8d + .quad 0xcd7c5dc5f3c29094 + .quad 0xc781a29a2a9105ab + .quad 0x80c61d36421c3058 + .quad 0x4f9cd196dcd8d4d7 + .quad 0x199297d86a7b3768 + .quad 0xd0d058241ad17a63 + .quad 0xba029cad5c1c0c17 + .quad 0x7ccdd084387a0307 + + // 2^40 * 3 * B + + .quad 0xdca6422c6d260417 + .quad 0xae153d50948240bd + .quad 0xa9c0c1b4fb68c677 + .quad 0x428bd0ed61d0cf53 + .quad 0x9b0c84186760cc93 + .quad 0xcdae007a1ab32a99 + .quad 0xa88dec86620bda18 + .quad 0x3593ca848190ca44 + .quad 0x9213189a5e849aa7 + .quad 0xd4d8c33565d8facd + .quad 0x8c52545b53fdbbd1 + .quad 0x27398308da2d63e6 + + // 2^40 * 4 * B + + .quad 0x42c38d28435ed413 + .quad 0xbd50f3603278ccc9 + .quad 0xbb07ab1a79da03ef + .quad 0x269597aebe8c3355 + .quad 0xb9a10e4c0a702453 + .quad 0x0fa25866d57d1bde + .quad 0xffb9d9b5cd27daf7 + .quad 0x572c2945492c33fd + .quad 0xc77fc745d6cd30be + .quad 0xe4dfe8d3e3baaefb + .quad 0xa22c8830aa5dda0c + .quad 0x7f985498c05bca80 + + // 2^40 * 5 * B + + .quad 0x3849ce889f0be117 + .quad 0x8005ad1b7b54a288 + .quad 0x3da3c39f23fc921c + .quad 0x76c2ec470a31f304 + .quad 0xd35615520fbf6363 + .quad 0x08045a45cf4dfba6 + .quad 0xeec24fbc873fa0c2 + .quad 0x30f2653cd69b12e7 + .quad 0x8a08c938aac10c85 + .quad 0x46179b60db276bcb + .quad 0xa920c01e0e6fac70 + .quad 0x2f1273f1596473da + + // 2^40 * 6 * B + + .quad 0x4739fc7c8ae01e11 + .quad 0xfd5274904a6aab9f + .quad 0x41d98a8287728f2e + .quad 0x5d9e572ad85b69f2 + .quad 0x30488bd755a70bc0 + .quad 0x06d6b5a4f1d442e7 + .quad 0xead1a69ebc596162 + .quad 0x38ac1997edc5f784 + .quad 0x0666b517a751b13b + .quad 0x747d06867e9b858c + .quad 0xacacc011454dde49 + .quad 0x22dfcd9cbfe9e69c + + // 2^40 * 7 * B + + .quad 0x8ddbd2e0c30d0cd9 + .quad 0xad8e665facbb4333 + .quad 0x8f6b258c322a961f + .quad 0x6b2916c05448c1c7 + .quad 0x56ec59b4103be0a1 + .quad 0x2ee3baecd259f969 + .quad 0x797cb29413f5cd32 + .quad 0x0fe9877824cde472 + .quad 0x7edb34d10aba913b + .quad 0x4ea3cd822e6dac0e + .quad 0x66083dff6578f815 + .quad 0x4c303f307ff00a17 + + // 2^40 * 8 * B + + .quad 0xd30a3bd617b28c85 + .quad 0xc5d377b739773bea + .quad 0xc6c6e78c1e6a5cbf + .quad 0x0d61b8f78b2ab7c4 + .quad 0x29fc03580dd94500 + .quad 0xecd27aa46fbbec93 + .quad 0x130a155fc2e2a7f8 + .quad 0x416b151ab706a1d5 + .quad 0x56a8d7efe9c136b0 + .quad 0xbd07e5cd58e44b20 + .quad 0xafe62fda1b57e0ab + .quad 0x191a2af74277e8d2 + + // 2^44 * 1 * B + + .quad 0xd550095bab6f4985 + .quad 0x04f4cd5b4fbfaf1a + .quad 0x9d8e2ed12a0c7540 + .quad 0x2bc24e04b2212286 + .quad 0x09d4b60b2fe09a14 + .quad 0xc384f0afdbb1747e + .quad 0x58e2ea8978b5fd6e + .quad 0x519ef577b5e09b0a + .quad 0x1863d7d91124cca9 + .quad 0x7ac08145b88a708e + .quad 0x2bcd7309857031f5 + .quad 0x62337a6e8ab8fae5 + + // 2^44 * 2 * B + + .quad 0x4bcef17f06ffca16 + .quad 0xde06e1db692ae16a + .quad 0x0753702d614f42b0 + .quad 0x5f6041b45b9212d0 + .quad 0xd1ab324e1b3a1273 + .quad 0x18947cf181055340 + .quad 0x3b5d9567a98c196e + .quad 0x7fa00425802e1e68 + .quad 0x7d531574028c2705 + .quad 0x80317d69db0d75fe + .quad 0x30fface8ef8c8ddd + .quad 0x7e9de97bb6c3e998 + + // 2^44 * 3 * B + + .quad 0x1558967b9e6585a3 + .quad 0x97c99ce098e98b92 + .quad 0x10af149b6eb3adad + .quad 0x42181fe8f4d38cfa + .quad 0xf004be62a24d40dd + .quad 0xba0659910452d41f + .quad 0x81c45ee162a44234 + .quad 0x4cb829d8a22266ef + .quad 0x1dbcaa8407b86681 + .quad 0x081f001e8b26753b + .quad 0x3cd7ce6a84048e81 + .quad 0x78af11633f25f22c + + // 2^44 * 4 * B + + .quad 0x8416ebd40b50babc + .quad 0x1508722628208bee + .quad 0xa3148fafb9c1c36d + .quad 0x0d07daacd32d7d5d + .quad 0x3241c00e7d65318c + .quad 0xe6bee5dcd0e86de7 + .quad 0x118b2dc2fbc08c26 + .quad 0x680d04a7fc603dc3 + .quad 0xf9c2414a695aa3eb + .quad 0xdaa42c4c05a68f21 + .quad 0x7c6c23987f93963e + .quad 0x210e8cd30c3954e3 + + // 2^44 * 5 * B + + .quad 0xac4201f210a71c06 + .quad 0x6a65e0aef3bfb021 + .quad 0xbc42c35c393632f7 + .quad 0x56ea8db1865f0742 + .quad 0x2b50f16137fe6c26 + .quad 0xe102bcd856e404d8 + .quad 0x12b0f1414c561f6b + .quad 0x51b17bc8d028ec91 + .quad 0xfff5fb4bcf535119 + .quad 0xf4989d79df1108a0 + .quad 0xbdfcea659a3ba325 + .quad 0x18a11f1174d1a6f2 + + // 2^44 * 6 * B + + .quad 0x407375ab3f6bba29 + .quad 0x9ec3b6d8991e482e + .quad 0x99c80e82e55f92e9 + .quad 0x307c13b6fb0c0ae1 + .quad 0xfbd63cdad27a5f2c + .quad 0xf00fc4bc8aa106d7 + .quad 0x53fb5c1a8e64a430 + .quad 0x04eaabe50c1a2e85 + .quad 0x24751021cb8ab5e7 + .quad 0xfc2344495c5010eb + .quad 0x5f1e717b4e5610a1 + .quad 0x44da5f18c2710cd5 + + // 2^44 * 7 * B + + .quad 0x033cc55ff1b82eb5 + .quad 0xb15ae36d411cae52 + .quad 0xba40b6198ffbacd3 + .quad 0x768edce1532e861f + .quad 0x9156fe6b89d8eacc + .quad 0xe6b79451e23126a1 + .quad 0xbd7463d93944eb4e + .quad 0x726373f6767203ae + .quad 0xe305ca72eb7ef68a + .quad 0x662cf31f70eadb23 + .quad 0x18f026fdb4c45b68 + .quad 0x513b5384b5d2ecbd + + // 2^44 * 8 * B + + .quad 0x46d46280c729989e + .quad 0x4b93fbd05368a5dd + .quad 0x63df3f81d1765a89 + .quad 0x34cebd64b9a0a223 + .quad 0x5e2702878af34ceb + .quad 0x900b0409b946d6ae + .quad 0x6512ebf7dabd8512 + .quad 0x61d9b76988258f81 + .quad 0xa6c5a71349b7d94b + .quad 0xa3f3d15823eb9446 + .quad 0x0416fbd277484834 + .quad 0x69d45e6f2c70812f + + // 2^48 * 1 * B + + .quad 0xce16f74bc53c1431 + .quad 0x2b9725ce2072edde + .quad 0xb8b9c36fb5b23ee7 + .quad 0x7e2e0e450b5cc908 + .quad 0x9fe62b434f460efb + .quad 0xded303d4a63607d6 + .quad 0xf052210eb7a0da24 + .quad 0x237e7dbe00545b93 + .quad 0x013575ed6701b430 + .quad 0x231094e69f0bfd10 + .quad 0x75320f1583e47f22 + .quad 0x71afa699b11155e3 + + // 2^48 * 2 * B + + .quad 0x65ce6f9b3953b61d + .quad 0xc65839eaafa141e6 + .quad 0x0f435ffda9f759fe + .quad 0x021142e9c2b1c28e + .quad 0xea423c1c473b50d6 + .quad 0x51e87a1f3b38ef10 + .quad 0x9b84bf5fb2c9be95 + .quad 0x00731fbc78f89a1c + .quad 0xe430c71848f81880 + .quad 0xbf960c225ecec119 + .quad 0xb6dae0836bba15e3 + .quad 0x4c4d6f3347e15808 + + // 2^48 * 3 * B + + .quad 0x18f7eccfc17d1fc9 + .quad 0x6c75f5a651403c14 + .quad 0xdbde712bf7ee0cdf + .quad 0x193fddaaa7e47a22 + .quad 0x2f0cddfc988f1970 + .quad 0x6b916227b0b9f51b + .quad 0x6ec7b6c4779176be + .quad 0x38bf9500a88f9fa8 + .quad 0x1fd2c93c37e8876f + .quad 0xa2f61e5a18d1462c + .quad 0x5080f58239241276 + .quad 0x6a6fb99ebf0d4969 + + // 2^48 * 4 * B + + .quad 0x6a46c1bb560855eb + .quad 0x2416bb38f893f09d + .quad 0xd71d11378f71acc1 + .quad 0x75f76914a31896ea + .quad 0xeeb122b5b6e423c6 + .quad 0x939d7010f286ff8e + .quad 0x90a92a831dcf5d8c + .quad 0x136fda9f42c5eb10 + .quad 0xf94cdfb1a305bdd1 + .quad 0x0f364b9d9ff82c08 + .quad 0x2a87d8a5c3bb588a + .quad 0x022183510be8dcba + + // 2^48 * 5 * B + + .quad 0x4af766385ead2d14 + .quad 0xa08ed880ca7c5830 + .quad 0x0d13a6e610211e3d + .quad 0x6a071ce17b806c03 + .quad 0x9d5a710143307a7f + .quad 0xb063de9ec47da45f + .quad 0x22bbfe52be927ad3 + .quad 0x1387c441fd40426c + .quad 0xb5d3c3d187978af8 + .quad 0x722b5a3d7f0e4413 + .quad 0x0d7b4848bb477ca0 + .quad 0x3171b26aaf1edc92 + + // 2^48 * 6 * B + + .quad 0xa92f319097564ca8 + .quad 0xff7bb84c2275e119 + .quad 0x4f55fe37a4875150 + .quad 0x221fd4873cf0835a + .quad 0xa60db7d8b28a47d1 + .quad 0xa6bf14d61770a4f1 + .quad 0xd4a1f89353ddbd58 + .quad 0x6c514a63344243e9 + .quad 0x2322204f3a156341 + .quad 0xfb73e0e9ba0a032d + .quad 0xfce0dd4c410f030e + .quad 0x48daa596fb924aaa + + // 2^48 * 7 * B + + .quad 0x6eca8e665ca59cc7 + .quad 0xa847254b2e38aca0 + .quad 0x31afc708d21e17ce + .quad 0x676dd6fccad84af7 + .quad 0x14f61d5dc84c9793 + .quad 0x9941f9e3ef418206 + .quad 0xcdf5b88f346277ac + .quad 0x58c837fa0e8a79a9 + .quad 0x0cf9688596fc9058 + .quad 0x1ddcbbf37b56a01b + .quad 0xdcc2e77d4935d66a + .quad 0x1c4f73f2c6a57f0a + + // 2^48 * 8 * B + + .quad 0x0e7a4fbd305fa0bb + .quad 0x829d4ce054c663ad + .quad 0xf421c3832fe33848 + .quad 0x795ac80d1bf64c42 + .quad 0xb36e706efc7c3484 + .quad 0x73dfc9b4c3c1cf61 + .quad 0xeb1d79c9781cc7e5 + .quad 0x70459adb7daf675c + .quad 0x1b91db4991b42bb3 + .quad 0x572696234b02dcca + .quad 0x9fdf9ee51f8c78dc + .quad 0x5fe162848ce21fd3 + + // 2^52 * 1 * B + + .quad 0xe2790aae4d077c41 + .quad 0x8b938270db7469a3 + .quad 0x6eb632dc8abd16a2 + .quad 0x720814ecaa064b72 + .quad 0x315c29c795115389 + .quad 0xd7e0e507862f74ce + .quad 0x0c4a762185927432 + .quad 0x72de6c984a25a1e4 + .quad 0xae9ab553bf6aa310 + .quad 0x050a50a9806d6e1b + .quad 0x92bb7403adff5139 + .quad 0x0394d27645be618b + + // 2^52 * 2 * B + + .quad 0x4d572251857eedf4 + .quad 0xe3724edde19e93c5 + .quad 0x8a71420e0b797035 + .quad 0x3b3c833687abe743 + .quad 0xf5396425b23545a4 + .quad 0x15a7a27e98fbb296 + .quad 0xab6c52bc636fdd86 + .quad 0x79d995a8419334ee + .quad 0xcd8a8ea61195dd75 + .quad 0xa504d8a81dd9a82f + .quad 0x540dca81a35879b6 + .quad 0x60dd16a379c86a8a + + // 2^52 * 3 * B + + .quad 0x35a2c8487381e559 + .quad 0x596ffea6d78082cb + .quad 0xcb9771ebdba7b653 + .quad 0x5a08b5019b4da685 + .quad 0x3501d6f8153e47b8 + .quad 0xb7a9675414a2f60c + .quad 0x112ee8b6455d9523 + .quad 0x4e62a3c18112ea8a + .quad 0xc8d4ac04516ab786 + .quad 0x595af3215295b23d + .quad 0xd6edd234db0230c1 + .quad 0x0929efe8825b41cc + + // 2^52 * 4 * B + + .quad 0x5f0601d1cbd0f2d3 + .quad 0x736e412f6132bb7f + .quad 0x83604432238dde87 + .quad 0x1e3a5272f5c0753c + .quad 0x8b3172b7ad56651d + .quad 0x01581b7a3fabd717 + .quad 0x2dc94df6424df6e4 + .quad 0x30376e5d2c29284f + .quad 0xd2918da78159a59c + .quad 0x6bdc1cd93f0713f3 + .quad 0x565f7a934acd6590 + .quad 0x53daacec4cb4c128 + + // 2^52 * 5 * B + + .quad 0x4ca73bd79cc8a7d6 + .quad 0x4d4a738f47e9a9b2 + .quad 0xf4cbf12942f5fe00 + .quad 0x01a13ff9bdbf0752 + .quad 0x99852bc3852cfdb0 + .quad 0x2cc12e9559d6ed0b + .quad 0x70f9e2bf9b5ac27b + .quad 0x4f3b8c117959ae99 + .quad 0x55b6c9c82ff26412 + .quad 0x1ac4a8c91fb667a8 + .quad 0xd527bfcfeb778bf2 + .quad 0x303337da7012a3be + + // 2^52 * 6 * B + + .quad 0x955422228c1c9d7c + .quad 0x01fac1371a9b340f + .quad 0x7e8d9177925b48d7 + .quad 0x53f8ad5661b3e31b + .quad 0x976d3ccbfad2fdd1 + .quad 0xcb88839737a640a8 + .quad 0x2ff00c1d6734cb25 + .quad 0x269ff4dc789c2d2b + .quad 0x0c003fbdc08d678d + .quad 0x4d982fa37ead2b17 + .quad 0xc07e6bcdb2e582f1 + .quad 0x296c7291df412a44 + + // 2^52 * 7 * B + + .quad 0x7903de2b33daf397 + .quad 0xd0ff0619c9a624b3 + .quad 0x8a1d252b555b3e18 + .quad 0x2b6d581c52e0b7c0 + .quad 0xdfb23205dab8b59e + .quad 0x465aeaa0c8092250 + .quad 0xd133c1189a725d18 + .quad 0x2327370261f117d1 + .quad 0x3d0543d3623e7986 + .quad 0x679414c2c278a354 + .quad 0xae43f0cc726196f6 + .quad 0x7836c41f8245eaba + + // 2^52 * 8 * B + + .quad 0xe7a254db49e95a81 + .quad 0x5192d5d008b0ad73 + .quad 0x4d20e5b1d00afc07 + .quad 0x5d55f8012cf25f38 + .quad 0xca651e848011937c + .quad 0xc6b0c46e6ef41a28 + .quad 0xb7021ba75f3f8d52 + .quad 0x119dff99ead7b9fd + .quad 0x43eadfcbf4b31d4d + .quad 0xc6503f7411148892 + .quad 0xfeee68c5060d3b17 + .quad 0x329293b3dd4a0ac8 + + // 2^56 * 1 * B + + .quad 0x4e59214fe194961a + .quad 0x49be7dc70d71cd4f + .quad 0x9300cfd23b50f22d + .quad 0x4789d446fc917232 + .quad 0x2879852d5d7cb208 + .quad 0xb8dedd70687df2e7 + .quad 0xdc0bffab21687891 + .quad 0x2b44c043677daa35 + .quad 0x1a1c87ab074eb78e + .quad 0xfac6d18e99daf467 + .quad 0x3eacbbcd484f9067 + .quad 0x60c52eef2bb9a4e4 + + // 2^56 * 2 * B + + .quad 0x0b5d89bc3bfd8bf1 + .quad 0xb06b9237c9f3551a + .quad 0x0e4c16b0d53028f5 + .quad 0x10bc9c312ccfcaab + .quad 0x702bc5c27cae6d11 + .quad 0x44c7699b54a48cab + .quad 0xefbc4056ba492eb2 + .quad 0x70d77248d9b6676d + .quad 0xaa8ae84b3ec2a05b + .quad 0x98699ef4ed1781e0 + .quad 0x794513e4708e85d1 + .quad 0x63755bd3a976f413 + + // 2^56 * 3 * B + + .quad 0xb55fa03e2ad10853 + .quad 0x356f75909ee63569 + .quad 0x9ff9f1fdbe69b890 + .quad 0x0d8cc1c48bc16f84 + .quad 0x3dc7101897f1acb7 + .quad 0x5dda7d5ec165bbd8 + .quad 0x508e5b9c0fa1020f + .quad 0x2763751737c52a56 + .quad 0x029402d36eb419a9 + .quad 0xf0b44e7e77b460a5 + .quad 0xcfa86230d43c4956 + .quad 0x70c2dd8a7ad166e7 + + // 2^56 * 4 * B + + .quad 0x656194509f6fec0e + .quad 0xee2e7ea946c6518d + .quad 0x9733c1f367e09b5c + .quad 0x2e0fac6363948495 + .quad 0x91d4967db8ed7e13 + .quad 0x74252f0ad776817a + .quad 0xe40982e00d852564 + .quad 0x32b8613816a53ce5 + .quad 0x79e7f7bee448cd64 + .quad 0x6ac83a67087886d0 + .quad 0xf89fd4d9a0e4db2e + .quad 0x4179215c735a4f41 + + // 2^56 * 5 * B + + .quad 0x8c7094e7d7dced2a + .quad 0x97fb8ac347d39c70 + .quad 0xe13be033a906d902 + .quad 0x700344a30cd99d76 + .quad 0xe4ae33b9286bcd34 + .quad 0xb7ef7eb6559dd6dc + .quad 0x278b141fb3d38e1f + .quad 0x31fa85662241c286 + .quad 0xaf826c422e3622f4 + .quad 0xc12029879833502d + .quad 0x9bc1b7e12b389123 + .quad 0x24bb2312a9952489 + + // 2^56 * 6 * B + + .quad 0xb1a8ed1732de67c3 + .quad 0x3cb49418461b4948 + .quad 0x8ebd434376cfbcd2 + .quad 0x0fee3e871e188008 + .quad 0x41f80c2af5f85c6b + .quad 0x687284c304fa6794 + .quad 0x8945df99a3ba1bad + .quad 0x0d1d2af9ffeb5d16 + .quad 0xa9da8aa132621edf + .quad 0x30b822a159226579 + .quad 0x4004197ba79ac193 + .quad 0x16acd79718531d76 + + // 2^56 * 7 * B + + .quad 0x72df72af2d9b1d3d + .quad 0x63462a36a432245a + .quad 0x3ecea07916b39637 + .quad 0x123e0ef6b9302309 + .quad 0xc959c6c57887b6ad + .quad 0x94e19ead5f90feba + .quad 0x16e24e62a342f504 + .quad 0x164ed34b18161700 + .quad 0x487ed94c192fe69a + .quad 0x61ae2cea3a911513 + .quad 0x877bf6d3b9a4de27 + .quad 0x78da0fc61073f3eb + + // 2^56 * 8 * B + + .quad 0x5bf15d28e52bc66a + .quad 0x2c47e31870f01a8e + .quad 0x2419afbc06c28bdd + .quad 0x2d25deeb256b173a + .quad 0xa29f80f1680c3a94 + .quad 0x71f77e151ae9e7e6 + .quad 0x1100f15848017973 + .quad 0x054aa4b316b38ddd + .quad 0xdfc8468d19267cb8 + .quad 0x0b28789c66e54daf + .quad 0x2aeb1d2a666eec17 + .quad 0x134610a6ab7da760 + + // 2^60 * 1 * B + + .quad 0xcaf55ec27c59b23f + .quad 0x99aeed3e154d04f2 + .quad 0x68441d72e14141f4 + .quad 0x140345133932a0a2 + .quad 0xd91430e0dc028c3c + .quad 0x0eb955a85217c771 + .quad 0x4b09e1ed2c99a1fa + .quad 0x42881af2bd6a743c + .quad 0x7bfec69aab5cad3d + .quad 0xc23e8cd34cb2cfad + .quad 0x685dd14bfb37d6a2 + .quad 0x0ad6d64415677a18 + + // 2^60 * 2 * B + + .quad 0x781a439e417becb5 + .quad 0x4ac5938cd10e0266 + .quad 0x5da385110692ac24 + .quad 0x11b065a2ade31233 + .quad 0x7914892847927e9f + .quad 0x33dad6ef370aa877 + .quad 0x1f8f24fa11122703 + .quad 0x5265ac2f2adf9592 + .quad 0x405fdd309afcb346 + .quad 0xd9723d4428e63f54 + .quad 0x94c01df05f65aaae + .quad 0x43e4dc3ae14c0809 + + // 2^60 * 3 * B + + .quad 0xbc12c7f1a938a517 + .quad 0x473028ab3180b2e1 + .quad 0x3f78571efbcd254a + .quad 0x74e534426ff6f90f + .quad 0xea6f7ac3adc2c6a3 + .quad 0xd0e928f6e9717c94 + .quad 0xe2d379ead645eaf5 + .quad 0x46dd8785c51ffbbe + .quad 0x709801be375c8898 + .quad 0x4b06dab5e3fd8348 + .quad 0x75880ced27230714 + .quad 0x2b09468fdd2f4c42 + + // 2^60 * 4 * B + + .quad 0x97c749eeb701cb96 + .quad 0x83f438d4b6a369c3 + .quad 0x62962b8b9a402cd9 + .quad 0x6976c7509888df7b + .quad 0x5b97946582ffa02a + .quad 0xda096a51fea8f549 + .quad 0xa06351375f77af9b + .quad 0x1bcfde61201d1e76 + .quad 0x4a4a5490246a59a2 + .quad 0xd63ebddee87fdd90 + .quad 0xd9437c670d2371fa + .quad 0x69e87308d30f8ed6 + + // 2^60 * 5 * B + + .quad 0x435a8bb15656beb0 + .quad 0xf8fac9ba4f4d5bca + .quad 0xb9b278c41548c075 + .quad 0x3eb0ef76e892b622 + .quad 0x0f80bf028bc80303 + .quad 0x6aae16b37a18cefb + .quad 0xdd47ea47d72cd6a3 + .quad 0x61943588f4ed39aa + .quad 0xd26e5c3e91039f85 + .quad 0xc0e9e77df6f33aa9 + .quad 0xe8968c5570066a93 + .quad 0x3c34d1881faaaddd + + // 2^60 * 6 * B + + .quad 0x3f9d2b5ea09f9ec0 + .quad 0x1dab3b6fb623a890 + .quad 0xa09ba3ea72d926c4 + .quad 0x374193513fd8b36d + .quad 0xbd5b0b8f2fffe0d9 + .quad 0x6aa254103ed24fb9 + .quad 0x2ac7d7bcb26821c4 + .quad 0x605b394b60dca36a + .quad 0xb4e856e45a9d1ed2 + .quad 0xefe848766c97a9a2 + .quad 0xb104cf641e5eee7d + .quad 0x2f50b81c88a71c8f + + // 2^60 * 7 * B + + .quad 0x31723c61fc6811bb + .quad 0x9cb450486211800f + .quad 0x768933d347995753 + .quad 0x3491a53502752fcd + .quad 0x2b552ca0a7da522a + .quad 0x3230b336449b0250 + .quad 0xf2c4c5bca4b99fb9 + .quad 0x7b2c674958074a22 + .quad 0xd55165883ed28cdf + .quad 0x12d84fd2d362de39 + .quad 0x0a874ad3e3378e4f + .quad 0x000d2b1f7c763e74 + + // 2^60 * 8 * B + + .quad 0x3d420811d06d4a67 + .quad 0xbefc048590e0ffe3 + .quad 0xf870c6b7bd487bde + .quad 0x6e2a7316319afa28 + .quad 0x9624778c3e94a8ab + .quad 0x0ad6f3cee9a78bec + .quad 0x948ac7810d743c4f + .quad 0x76627935aaecfccc + .quad 0x56a8ac24d6d59a9f + .quad 0xc8db753e3096f006 + .quad 0x477f41e68f4c5299 + .quad 0x588d851cf6c86114 + + // 2^64 * 1 * B + + .quad 0x51138ec78df6b0fe + .quad 0x5397da89e575f51b + .quad 0x09207a1d717af1b9 + .quad 0x2102fdba2b20d650 + .quad 0xcd2a65e777d1f515 + .quad 0x548991878faa60f1 + .quad 0xb1b73bbcdabc06e5 + .quad 0x654878cba97cc9fb + .quad 0x969ee405055ce6a1 + .quad 0x36bca7681251ad29 + .quad 0x3a1af517aa7da415 + .quad 0x0ad725db29ecb2ba + + // 2^64 * 2 * B + + .quad 0xdc4267b1834e2457 + .quad 0xb67544b570ce1bc5 + .quad 0x1af07a0bf7d15ed7 + .quad 0x4aefcffb71a03650 + .quad 0xfec7bc0c9b056f85 + .quad 0x537d5268e7f5ffd7 + .quad 0x77afc6624312aefa + .quad 0x4f675f5302399fd9 + .quad 0xc32d36360415171e + .quad 0xcd2bef118998483b + .quad 0x870a6eadd0945110 + .quad 0x0bccbb72a2a86561 + + // 2^64 * 3 * B + + .quad 0x185e962feab1a9c8 + .quad 0x86e7e63565147dcd + .quad 0xb092e031bb5b6df2 + .quad 0x4024f0ab59d6b73e + .quad 0x186d5e4c50fe1296 + .quad 0xe0397b82fee89f7e + .quad 0x3bc7f6c5507031b0 + .quad 0x6678fd69108f37c2 + .quad 0x1586fa31636863c2 + .quad 0x07f68c48572d33f2 + .quad 0x4f73cc9f789eaefc + .quad 0x2d42e2108ead4701 + + // 2^64 * 4 * B + + .quad 0x97f5131594dfd29b + .quad 0x6155985d313f4c6a + .quad 0xeba13f0708455010 + .quad 0x676b2608b8d2d322 + .quad 0x21717b0d0f537593 + .quad 0x914e690b131e064c + .quad 0x1bb687ae752ae09f + .quad 0x420bf3a79b423c6e + .quad 0x8138ba651c5b2b47 + .quad 0x8671b6ec311b1b80 + .quad 0x7bff0cb1bc3135b0 + .quad 0x745d2ffa9c0cf1e0 + + // 2^64 * 5 * B + + .quad 0xbf525a1e2bc9c8bd + .quad 0xea5b260826479d81 + .quad 0xd511c70edf0155db + .quad 0x1ae23ceb960cf5d0 + .quad 0x6036df5721d34e6a + .quad 0xb1db8827997bb3d0 + .quad 0xd3c209c3c8756afa + .quad 0x06e15be54c1dc839 + .quad 0x5b725d871932994a + .quad 0x32351cb5ceb1dab0 + .quad 0x7dc41549dab7ca05 + .quad 0x58ded861278ec1f7 + + // 2^64 * 6 * B + + .quad 0xd8173793f266c55c + .quad 0xc8c976c5cc454e49 + .quad 0x5ce382f8bc26c3a8 + .quad 0x2ff39de85485f6f9 + .quad 0x2dfb5ba8b6c2c9a8 + .quad 0x48eeef8ef52c598c + .quad 0x33809107f12d1573 + .quad 0x08ba696b531d5bd8 + .quad 0x77ed3eeec3efc57a + .quad 0x04e05517d4ff4811 + .quad 0xea3d7a3ff1a671cb + .quad 0x120633b4947cfe54 + + // 2^64 * 7 * B + + .quad 0x0b94987891610042 + .quad 0x4ee7b13cecebfae8 + .quad 0x70be739594f0a4c0 + .quad 0x35d30a99b4d59185 + .quad 0x82bd31474912100a + .quad 0xde237b6d7e6fbe06 + .quad 0xe11e761911ea79c6 + .quad 0x07433be3cb393bde + .quad 0xff7944c05ce997f4 + .quad 0x575d3de4b05c51a3 + .quad 0x583381fd5a76847c + .quad 0x2d873ede7af6da9f + + // 2^64 * 8 * B + + .quad 0x157a316443373409 + .quad 0xfab8b7eef4aa81d9 + .quad 0xb093fee6f5a64806 + .quad 0x2e773654707fa7b6 + .quad 0xaa6202e14e5df981 + .quad 0xa20d59175015e1f5 + .quad 0x18a275d3bae21d6c + .quad 0x0543618a01600253 + .quad 0x0deabdf4974c23c1 + .quad 0xaa6f0a259dce4693 + .quad 0x04202cb8a29aba2c + .quad 0x4b1443362d07960d + + // 2^68 * 1 * B + + .quad 0x47b837f753242cec + .quad 0x256dc48cc04212f2 + .quad 0xe222fbfbe1d928c5 + .quad 0x48ea295bad8a2c07 + .quad 0x299b1c3f57c5715e + .quad 0x96cb929e6b686d90 + .quad 0x3004806447235ab3 + .quad 0x2c435c24a44d9fe1 + .quad 0x0607c97c80f8833f + .quad 0x0e851578ca25ec5b + .quad 0x54f7450b161ebb6f + .quad 0x7bcb4792a0def80e + + // 2^68 * 2 * B + + .quad 0x8487e3d02bc73659 + .quad 0x4baf8445059979df + .quad 0xd17c975adcad6fbf + .quad 0x57369f0bdefc96b6 + .quad 0x1cecd0a0045224c2 + .quad 0x757f1b1b69e53952 + .quad 0x775b7a925289f681 + .quad 0x1b6cc62016736148 + .quad 0xf1a9990175638698 + .quad 0x353dd1beeeaa60d3 + .quad 0x849471334c9ba488 + .quad 0x63fa6e6843ade311 + + // 2^68 * 3 * B + + .quad 0xd15c20536597c168 + .quad 0x9f73740098d28789 + .quad 0x18aee7f13257ba1f + .quad 0x3418bfda07346f14 + .quad 0x2195becdd24b5eb7 + .quad 0x5e41f18cc0cd44f9 + .quad 0xdf28074441ca9ede + .quad 0x07073b98f35b7d67 + .quad 0xd03c676c4ce530d4 + .quad 0x0b64c0473b5df9f4 + .quad 0x065cef8b19b3a31e + .quad 0x3084d661533102c9 + + // 2^68 * 4 * B + + .quad 0xe1f6b79ebf8469ad + .quad 0x15801004e2663135 + .quad 0x9a498330af74181b + .quad 0x3ba2504f049b673c + .quad 0x9a6ce876760321fd + .quad 0x7fe2b5109eb63ad8 + .quad 0x00e7d4ae8ac80592 + .quad 0x73d86b7abb6f723a + .quad 0x0b52b5606dba5ab6 + .quad 0xa9134f0fbbb1edab + .quad 0x30a9520d9b04a635 + .quad 0x6813b8f37973e5db + + // 2^68 * 5 * B + + .quad 0x9854b054334127c1 + .quad 0x105d047882fbff25 + .quad 0xdb49f7f944186f4f + .quad 0x1768e838bed0b900 + .quad 0xf194ca56f3157e29 + .quad 0x136d35705ef528a5 + .quad 0xdd4cef778b0599bc + .quad 0x7d5472af24f833ed + .quad 0xd0ef874daf33da47 + .quad 0x00d3be5db6e339f9 + .quad 0x3f2a8a2f9c9ceece + .quad 0x5d1aeb792352435a + + // 2^68 * 6 * B + + .quad 0xf59e6bb319cd63ca + .quad 0x670c159221d06839 + .quad 0xb06d565b2150cab6 + .quad 0x20fb199d104f12a3 + .quad 0x12c7bfaeb61ba775 + .quad 0xb84e621fe263bffd + .quad 0x0b47a5c35c840dcf + .quad 0x7e83be0bccaf8634 + .quad 0x61943dee6d99c120 + .quad 0x86101f2e460b9fe0 + .quad 0x6bb2f1518ee8598d + .quad 0x76b76289fcc475cc + + // 2^68 * 7 * B + + .quad 0x791b4cc1756286fa + .quad 0xdbced317d74a157c + .quad 0x7e732421ea72bde6 + .quad 0x01fe18491131c8e9 + .quad 0x4245f1a1522ec0b3 + .quad 0x558785b22a75656d + .quad 0x1d485a2548a1b3c0 + .quad 0x60959eccd58fe09f + .quad 0x3ebfeb7ba8ed7a09 + .quad 0x49fdc2bbe502789c + .quad 0x44ebce5d3c119428 + .quad 0x35e1eb55be947f4a + + // 2^68 * 8 * B + + .quad 0xdbdae701c5738dd3 + .quad 0xf9c6f635b26f1bee + .quad 0x61e96a8042f15ef4 + .quad 0x3aa1d11faf60a4d8 + .quad 0x14fd6dfa726ccc74 + .quad 0x3b084cfe2f53b965 + .quad 0xf33ae4f552a2c8b4 + .quad 0x59aab07a0d40166a + .quad 0x77bcec4c925eac25 + .quad 0x1848718460137738 + .quad 0x5b374337fea9f451 + .quad 0x1865e78ec8e6aa46 + + // 2^72 * 1 * B + + .quad 0xccc4b7c7b66e1f7a + .quad 0x44157e25f50c2f7e + .quad 0x3ef06dfc713eaf1c + .quad 0x582f446752da63f7 + .quad 0x967c54e91c529ccb + .quad 0x30f6269264c635fb + .quad 0x2747aff478121965 + .quad 0x17038418eaf66f5c + .quad 0xc6317bd320324ce4 + .quad 0xa81042e8a4488bc4 + .quad 0xb21ef18b4e5a1364 + .quad 0x0c2a1c4bcda28dc9 + + // 2^72 * 2 * B + + .quad 0xd24dc7d06f1f0447 + .quad 0xb2269e3edb87c059 + .quad 0xd15b0272fbb2d28f + .quad 0x7c558bd1c6f64877 + .quad 0xedc4814869bd6945 + .quad 0x0d6d907dbe1c8d22 + .quad 0xc63bd212d55cc5ab + .quad 0x5a6a9b30a314dc83 + .quad 0xd0ec1524d396463d + .quad 0x12bb628ac35a24f0 + .quad 0xa50c3a791cbc5fa4 + .quad 0x0404a5ca0afbafc3 + + // 2^72 * 3 * B + + .quad 0x8c1f40070aa743d6 + .quad 0xccbad0cb5b265ee8 + .quad 0x574b046b668fd2de + .quad 0x46395bfdcadd9633 + .quad 0x62bc9e1b2a416fd1 + .quad 0xb5c6f728e350598b + .quad 0x04343fd83d5d6967 + .quad 0x39527516e7f8ee98 + .quad 0x117fdb2d1a5d9a9c + .quad 0x9c7745bcd1005c2a + .quad 0xefd4bef154d56fea + .quad 0x76579a29e822d016 + + // 2^72 * 4 * B + + .quad 0x45b68e7e49c02a17 + .quad 0x23cd51a2bca9a37f + .quad 0x3ed65f11ec224c1b + .quad 0x43a384dc9e05bdb1 + .quad 0x333cb51352b434f2 + .quad 0xd832284993de80e1 + .quad 0xb5512887750d35ce + .quad 0x02c514bb2a2777c1 + .quad 0x684bd5da8bf1b645 + .quad 0xfb8bd37ef6b54b53 + .quad 0x313916d7a9b0d253 + .quad 0x1160920961548059 + + // 2^72 * 5 * B + + .quad 0xb44d166929dacfaa + .quad 0xda529f4c8413598f + .quad 0xe9ef63ca453d5559 + .quad 0x351e125bc5698e0b + .quad 0x7a385616369b4dcd + .quad 0x75c02ca7655c3563 + .quad 0x7dc21bf9d4f18021 + .quad 0x2f637d7491e6e042 + .quad 0xd4b49b461af67bbe + .quad 0xd603037ac8ab8961 + .quad 0x71dee19ff9a699fb + .quad 0x7f182d06e7ce2a9a + + // 2^72 * 6 * B + + .quad 0x7a7c8e64ab0168ec + .quad 0xcb5a4a5515edc543 + .quad 0x095519d347cd0eda + .quad 0x67d4ac8c343e93b0 + .quad 0x09454b728e217522 + .quad 0xaa58e8f4d484b8d8 + .quad 0xd358254d7f46903c + .quad 0x44acc043241c5217 + .quad 0x1c7d6bbb4f7a5777 + .quad 0x8b35fed4918313e1 + .quad 0x4adca1c6c96b4684 + .quad 0x556d1c8312ad71bd + + // 2^72 * 7 * B + + .quad 0x17ef40e30c8d3982 + .quad 0x31f7073e15a3fa34 + .quad 0x4f21f3cb0773646e + .quad 0x746c6c6d1d824eff + .quad 0x81f06756b11be821 + .quad 0x0faff82310a3f3dd + .quad 0xf8b2d0556a99465d + .quad 0x097abe38cc8c7f05 + .quad 0x0c49c9877ea52da4 + .quad 0x4c4369559bdc1d43 + .quad 0x022c3809f7ccebd2 + .quad 0x577e14a34bee84bd + + // 2^72 * 8 * B + + .quad 0xf0e268ac61a73b0a + .quad 0xf2fafa103791a5f5 + .quad 0xc1e13e826b6d00e9 + .quad 0x60fa7ee96fd78f42 + .quad 0x94fecebebd4dd72b + .quad 0xf46a4fda060f2211 + .quad 0x124a5977c0c8d1ff + .quad 0x705304b8fb009295 + .quad 0xb63d1d354d296ec6 + .quad 0xf3c3053e5fad31d8 + .quad 0x670b958cb4bd42ec + .quad 0x21398e0ca16353fd + + // 2^76 * 1 * B + + .quad 0x216ab2ca8da7d2ef + .quad 0x366ad9dd99f42827 + .quad 0xae64b9004fdd3c75 + .quad 0x403a395b53909e62 + .quad 0x86c5fc16861b7e9a + .quad 0xf6a330476a27c451 + .quad 0x01667267a1e93597 + .quad 0x05ffb9cd6082dfeb + .quad 0xa617fa9ff53f6139 + .quad 0x60f2b5e513e66cb6 + .quad 0xd7a8beefb3448aa4 + .quad 0x7a2932856f5ea192 + + // 2^76 * 2 * B + + .quad 0x0b39d761b02de888 + .quad 0x5f550e7ed2414e1f + .quad 0xa6bfa45822e1a940 + .quad 0x050a2f7dfd447b99 + .quad 0xb89c444879639302 + .quad 0x4ae4f19350c67f2c + .quad 0xf0b35da8c81af9c6 + .quad 0x39d0003546871017 + .quad 0x437c3b33a650db77 + .quad 0x6bafe81dbac52bb2 + .quad 0xfe99402d2db7d318 + .quad 0x2b5b7eec372ba6ce + + // 2^76 * 3 * B + + .quad 0xb3bc4bbd83f50eef + .quad 0x508f0c998c927866 + .quad 0x43e76587c8b7e66e + .quad 0x0f7655a3a47f98d9 + .quad 0xa694404d613ac8f4 + .quad 0x500c3c2bfa97e72c + .quad 0x874104d21fcec210 + .quad 0x1b205fb38604a8ee + .quad 0x55ecad37d24b133c + .quad 0x441e147d6038c90b + .quad 0x656683a1d62c6fee + .quad 0x0157d5dc87e0ecae + + // 2^76 * 4 * B + + .quad 0xf2a7af510354c13d + .quad 0xd7a0b145aa372b60 + .quad 0x2869b96a05a3d470 + .quad 0x6528e42d82460173 + .quad 0x95265514d71eb524 + .quad 0xe603d8815df14593 + .quad 0x147cdf410d4de6b7 + .quad 0x5293b1730437c850 + .quad 0x23d0e0814bccf226 + .quad 0x92c745cd8196fb93 + .quad 0x8b61796c59541e5b + .quad 0x40a44df0c021f978 + + // 2^76 * 5 * B + + .quad 0xdaa869894f20ea6a + .quad 0xea14a3d14c620618 + .quad 0x6001fccb090bf8be + .quad 0x35f4e822947e9cf0 + .quad 0x86c96e514bc5d095 + .quad 0xf20d4098fca6804a + .quad 0x27363d89c826ea5d + .quad 0x39ca36565719cacf + .quad 0x97506f2f6f87b75c + .quad 0xc624aea0034ae070 + .quad 0x1ec856e3aad34dd6 + .quad 0x055b0be0e440e58f + + // 2^76 * 6 * B + + .quad 0x6469a17d89735d12 + .quad 0xdb6f27d5e662b9f1 + .quad 0x9fcba3286a395681 + .quad 0x363b8004d269af25 + .quad 0x4d12a04b6ea33da2 + .quad 0x57cf4c15e36126dd + .quad 0x90ec9675ee44d967 + .quad 0x64ca348d2a985aac + .quad 0x99588e19e4c4912d + .quad 0xefcc3b4e1ca5ce6b + .quad 0x4522ea60fa5b98d5 + .quad 0x7064bbab1de4a819 + + // 2^76 * 7 * B + + .quad 0xb919e1515a770641 + .quad 0xa9a2e2c74e7f8039 + .quad 0x7527250b3df23109 + .quad 0x756a7330ac27b78b + .quad 0xa290c06142542129 + .quad 0xf2e2c2aebe8d5b90 + .quad 0xcf2458db76abfe1b + .quad 0x02157ade83d626bf + .quad 0x3e46972a1b9a038b + .quad 0x2e4ee66a7ee03fb4 + .quad 0x81a248776edbb4ca + .quad 0x1a944ee88ecd0563 + + // 2^76 * 8 * B + + .quad 0xd5a91d1151039372 + .quad 0x2ed377b799ca26de + .quad 0xa17202acfd366b6b + .quad 0x0730291bd6901995 + .quad 0xbb40a859182362d6 + .quad 0xb99f55778a4d1abb + .quad 0x8d18b427758559f6 + .quad 0x26c20fe74d26235a + .quad 0x648d1d9fe9cc22f5 + .quad 0x66bc561928dd577c + .quad 0x47d3ed21652439d1 + .quad 0x49d271acedaf8b49 + + // 2^80 * 1 * B + + .quad 0x89f5058a382b33f3 + .quad 0x5ae2ba0bad48c0b4 + .quad 0x8f93b503a53db36e + .quad 0x5aa3ed9d95a232e6 + .quad 0x2798aaf9b4b75601 + .quad 0x5eac72135c8dad72 + .quad 0xd2ceaa6161b7a023 + .quad 0x1bbfb284e98f7d4e + .quad 0x656777e9c7d96561 + .quad 0xcb2b125472c78036 + .quad 0x65053299d9506eee + .quad 0x4a07e14e5e8957cc + + // 2^80 * 2 * B + + .quad 0x4ee412cb980df999 + .quad 0xa315d76f3c6ec771 + .quad 0xbba5edde925c77fd + .quad 0x3f0bac391d313402 + .quad 0x240b58cdc477a49b + .quad 0xfd38dade6447f017 + .quad 0x19928d32a7c86aad + .quad 0x50af7aed84afa081 + .quad 0x6e4fde0115f65be5 + .quad 0x29982621216109b2 + .quad 0x780205810badd6d9 + .quad 0x1921a316baebd006 + + // 2^80 * 3 * B + + .quad 0x89422f7edfb870fc + .quad 0x2c296beb4f76b3bd + .quad 0x0738f1d436c24df7 + .quad 0x6458df41e273aeb0 + .quad 0xd75aad9ad9f3c18b + .quad 0x566a0eef60b1c19c + .quad 0x3e9a0bac255c0ed9 + .quad 0x7b049deca062c7f5 + .quad 0xdccbe37a35444483 + .quad 0x758879330fedbe93 + .quad 0x786004c312c5dd87 + .quad 0x6093dccbc2950e64 + + // 2^80 * 4 * B + + .quad 0x1ff39a8585e0706d + .quad 0x36d0a5d8b3e73933 + .quad 0x43b9f2e1718f453b + .quad 0x57d1ea084827a97c + .quad 0x6bdeeebe6084034b + .quad 0x3199c2b6780fb854 + .quad 0x973376abb62d0695 + .quad 0x6e3180c98b647d90 + .quad 0xee7ab6e7a128b071 + .quad 0xa4c1596d93a88baa + .quad 0xf7b4de82b2216130 + .quad 0x363e999ddd97bd18 + + // 2^80 * 5 * B + + .quad 0x96a843c135ee1fc4 + .quad 0x976eb35508e4c8cf + .quad 0xb42f6801b58cd330 + .quad 0x48ee9b78693a052b + .quad 0x2f1848dce24baec6 + .quad 0x769b7255babcaf60 + .quad 0x90cb3c6e3cefe931 + .quad 0x231f979bc6f9b355 + .quad 0x5c31de4bcc2af3c6 + .quad 0xb04bb030fe208d1f + .quad 0xb78d7009c14fb466 + .quad 0x079bfa9b08792413 + + // 2^80 * 6 * B + + .quad 0xe3903a51da300df4 + .quad 0x843964233da95ab0 + .quad 0xed3cf12d0b356480 + .quad 0x038c77f684817194 + .quad 0xf3c9ed80a2d54245 + .quad 0x0aa08b7877f63952 + .quad 0xd76dac63d1085475 + .quad 0x1ef4fb159470636b + .quad 0x854e5ee65b167bec + .quad 0x59590a4296d0cdc2 + .quad 0x72b2df3498102199 + .quad 0x575ee92a4a0bff56 + + // 2^80 * 7 * B + + .quad 0xd4c080908a182fcf + .quad 0x30e170c299489dbd + .quad 0x05babd5752f733de + .quad 0x43d4e7112cd3fd00 + .quad 0x5d46bc450aa4d801 + .quad 0xc3af1227a533b9d8 + .quad 0x389e3b262b8906c2 + .quad 0x200a1e7e382f581b + .quad 0x518db967eaf93ac5 + .quad 0x71bc989b056652c0 + .quad 0xfe2b85d9567197f5 + .quad 0x050eca52651e4e38 + + // 2^80 * 8 * B + + .quad 0xc3431ade453f0c9c + .quad 0xe9f5045eff703b9b + .quad 0xfcd97ac9ed847b3d + .quad 0x4b0ee6c21c58f4c6 + .quad 0x97ac397660e668ea + .quad 0x9b19bbfe153ab497 + .quad 0x4cb179b534eca79f + .quad 0x6151c09fa131ae57 + .quad 0x3af55c0dfdf05d96 + .quad 0xdd262ee02ab4ee7a + .quad 0x11b2bb8712171709 + .quad 0x1fef24fa800f030b + + // 2^84 * 1 * B + + .quad 0xb496123a6b6c6609 + .quad 0xa750fe8580ab5938 + .quad 0xf471bf39b7c27a5f + .quad 0x507903ce77ac193c + .quad 0xff91a66a90166220 + .quad 0xf22552ae5bf1e009 + .quad 0x7dff85d87f90df7c + .quad 0x4f620ffe0c736fb9 + .quad 0x62f90d65dfde3e34 + .quad 0xcf28c592b9fa5fad + .quad 0x99c86ef9c6164510 + .quad 0x25d448044a256c84 + + // 2^84 * 2 * B + + .quad 0xbd68230ec7e9b16f + .quad 0x0eb1b9c1c1c5795d + .quad 0x7943c8c495b6b1ff + .quad 0x2f9faf620bbacf5e + .quad 0x2c7c4415c9022b55 + .quad 0x56a0d241812eb1fe + .quad 0xf02ea1c9d7b65e0d + .quad 0x4180512fd5323b26 + .quad 0xa4ff3e698a48a5db + .quad 0xba6a3806bd95403b + .quad 0x9f7ce1af47d5b65d + .quad 0x15e087e55939d2fb + + // 2^84 * 3 * B + + .quad 0x12207543745c1496 + .quad 0xdaff3cfdda38610c + .quad 0xe4e797272c71c34f + .quad 0x39c07b1934bdede9 + .quad 0x8894186efb963f38 + .quad 0x48a00e80dc639bd5 + .quad 0xa4e8092be96c1c99 + .quad 0x5a097d54ca573661 + .quad 0x2d45892b17c9e755 + .quad 0xd033fd7289308df8 + .quad 0x6c2fe9d9525b8bd9 + .quad 0x2edbecf1c11cc079 + + // 2^84 * 4 * B + + .quad 0x1616a4e3c715a0d2 + .quad 0x53623cb0f8341d4d + .quad 0x96ef5329c7e899cb + .quad 0x3d4e8dbba668baa6 + .quad 0xee0f0fddd087a25f + .quad 0x9c7531555c3e34ee + .quad 0x660c572e8fab3ab5 + .quad 0x0854fc44544cd3b2 + .quad 0x61eba0c555edad19 + .quad 0x24b533fef0a83de6 + .quad 0x3b77042883baa5f8 + .quad 0x678f82b898a47e8d + + // 2^84 * 5 * B + + .quad 0xb1491d0bd6900c54 + .quad 0x3539722c9d132636 + .quad 0x4db928920b362bc9 + .quad 0x4d7cd1fea68b69df + .quad 0x1e09d94057775696 + .quad 0xeed1265c3cd951db + .quad 0xfa9dac2b20bce16f + .quad 0x0f7f76e0e8d089f4 + .quad 0x36d9ebc5d485b00c + .quad 0xa2596492e4adb365 + .quad 0xc1659480c2119ccd + .quad 0x45306349186e0d5f + + // 2^84 * 6 * B + + .quad 0x94ddd0c1a6cdff1d + .quad 0x55f6f115e84213ae + .quad 0x6c935f85992fcf6a + .quad 0x067ee0f54a37f16f + .quad 0x96a414ec2b072491 + .quad 0x1bb2218127a7b65b + .quad 0x6d2849596e8a4af0 + .quad 0x65f3b08ccd27765f + .quad 0xecb29fff199801f7 + .quad 0x9d361d1fa2a0f72f + .quad 0x25f11d2375fd2f49 + .quad 0x124cefe80fe10fe2 + + // 2^84 * 7 * B + + .quad 0x4c126cf9d18df255 + .quad 0xc1d471e9147a63b6 + .quad 0x2c6d3c73f3c93b5f + .quad 0x6be3a6a2e3ff86a2 + .quad 0x1518e85b31b16489 + .quad 0x8faadcb7db710bfb + .quad 0x39b0bdf4a14ae239 + .quad 0x05f4cbea503d20c1 + .quad 0xce040e9ec04145bc + .quad 0xc71ff4e208f6834c + .quad 0xbd546e8dab8847a3 + .quad 0x64666aa0a4d2aba5 + + // 2^84 * 8 * B + + .quad 0x6841435a7c06d912 + .quad 0xca123c21bb3f830b + .quad 0xd4b37b27b1cbe278 + .quad 0x1d753b84c76f5046 + .quad 0xb0c53bf73337e94c + .quad 0x7cb5697e11e14f15 + .quad 0x4b84abac1930c750 + .quad 0x28dd4abfe0640468 + .quad 0x7dc0b64c44cb9f44 + .quad 0x18a3e1ace3925dbf + .quad 0x7a3034862d0457c4 + .quad 0x4c498bf78a0c892e + + // 2^88 * 1 * B + + .quad 0x37d653fb1aa73196 + .quad 0x0f9495303fd76418 + .quad 0xad200b09fb3a17b2 + .quad 0x544d49292fc8613e + .quad 0x22d2aff530976b86 + .quad 0x8d90b806c2d24604 + .quad 0xdca1896c4de5bae5 + .quad 0x28005fe6c8340c17 + .quad 0x6aefba9f34528688 + .quad 0x5c1bff9425107da1 + .quad 0xf75bbbcd66d94b36 + .quad 0x72e472930f316dfa + + // 2^88 * 2 * B + + .quad 0x2695208c9781084f + .quad 0xb1502a0b23450ee1 + .quad 0xfd9daea603efde02 + .quad 0x5a9d2e8c2733a34c + .quad 0x07f3f635d32a7627 + .quad 0x7aaa4d865f6566f0 + .quad 0x3c85e79728d04450 + .quad 0x1fee7f000fe06438 + .quad 0x765305da03dbf7e5 + .quad 0xa4daf2491434cdbd + .quad 0x7b4ad5cdd24a88ec + .quad 0x00f94051ee040543 + + // 2^88 * 3 * B + + .quad 0x8d356b23c3d330b2 + .quad 0xf21c8b9bb0471b06 + .quad 0xb36c316c6e42b83c + .quad 0x07d79c7e8beab10d + .quad 0xd7ef93bb07af9753 + .quad 0x583ed0cf3db766a7 + .quad 0xce6998bf6e0b1ec5 + .quad 0x47b7ffd25dd40452 + .quad 0x87fbfb9cbc08dd12 + .quad 0x8a066b3ae1eec29b + .quad 0x0d57242bdb1fc1bf + .quad 0x1c3520a35ea64bb6 + + // 2^88 * 4 * B + + .quad 0x80d253a6bccba34a + .quad 0x3e61c3a13838219b + .quad 0x90c3b6019882e396 + .quad 0x1c3d05775d0ee66f + .quad 0xcda86f40216bc059 + .quad 0x1fbb231d12bcd87e + .quad 0xb4956a9e17c70990 + .quad 0x38750c3b66d12e55 + .quad 0x692ef1409422e51a + .quad 0xcbc0c73c2b5df671 + .quad 0x21014fe7744ce029 + .quad 0x0621e2c7d330487c + + // 2^88 * 5 * B + + .quad 0xaf9860cc8259838d + .quad 0x90ea48c1c69f9adc + .quad 0x6526483765581e30 + .quad 0x0007d6097bd3a5bc + .quad 0xb7ae1796b0dbf0f3 + .quad 0x54dfafb9e17ce196 + .quad 0x25923071e9aaa3b4 + .quad 0x5d8e589ca1002e9d + .quad 0xc0bf1d950842a94b + .quad 0xb2d3c363588f2e3e + .quad 0x0a961438bb51e2ef + .quad 0x1583d7783c1cbf86 + + // 2^88 * 6 * B + + .quad 0xeceea2ef5da27ae1 + .quad 0x597c3a1455670174 + .quad 0xc9a62a126609167a + .quad 0x252a5f2e81ed8f70 + .quad 0x90034704cc9d28c7 + .quad 0x1d1b679ef72cc58f + .quad 0x16e12b5fbe5b8726 + .quad 0x4958064e83c5580a + .quad 0x0d2894265066e80d + .quad 0xfcc3f785307c8c6b + .quad 0x1b53da780c1112fd + .quad 0x079c170bd843b388 + + // 2^88 * 7 * B + + .quad 0x0506ece464fa6fff + .quad 0xbee3431e6205e523 + .quad 0x3579422451b8ea42 + .quad 0x6dec05e34ac9fb00 + .quad 0xcdd6cd50c0d5d056 + .quad 0x9af7686dbb03573b + .quad 0x3ca6723ff3c3ef48 + .quad 0x6768c0d7317b8acc + .quad 0x94b625e5f155c1b3 + .quad 0x417bf3a7997b7b91 + .quad 0xc22cbddc6d6b2600 + .quad 0x51445e14ddcd52f4 + + // 2^88 * 8 * B + + .quad 0x57502b4b3b144951 + .quad 0x8e67ff6b444bbcb3 + .quad 0xb8bd6927166385db + .quad 0x13186f31e39295c8 + .quad 0x893147ab2bbea455 + .quad 0x8c53a24f92079129 + .quad 0x4b49f948be30f7a7 + .quad 0x12e990086e4fd43d + .quad 0xf10c96b37fdfbb2e + .quad 0x9f9a935e121ceaf9 + .quad 0xdf1136c43a5b983f + .quad 0x77b2e3f05d3e99af + + // 2^92 * 1 * B + + .quad 0xfd0d75879cf12657 + .quad 0xe82fef94e53a0e29 + .quad 0xcc34a7f05bbb4be7 + .quad 0x0b251172a50c38a2 + .quad 0x9532f48fcc5cd29b + .quad 0x2ba851bea3ce3671 + .quad 0x32dacaa051122941 + .quad 0x478d99d9350004f2 + .quad 0x1d5ad94890bb02c0 + .quad 0x50e208b10ec25115 + .quad 0xa26a22894ef21702 + .quad 0x4dc923343b524805 + + // 2^92 * 2 * B + + .quad 0xe3828c400f8086b6 + .quad 0x3f77e6f7979f0dc8 + .quad 0x7ef6de304df42cb4 + .quad 0x5265797cb6abd784 + .quad 0x3ad3e3ebf36c4975 + .quad 0xd75d25a537862125 + .quad 0xe873943da025a516 + .quad 0x6bbc7cb4c411c847 + .quad 0x3c6f9cd1d4a50d56 + .quad 0xb6244077c6feab7e + .quad 0x6ff9bf483580972e + .quad 0x00375883b332acfb + + // 2^92 * 3 * B + + .quad 0x0001b2cd28cb0940 + .quad 0x63fb51a06f1c24c9 + .quad 0xb5ad8691dcd5ca31 + .quad 0x67238dbd8c450660 + .quad 0xc98bec856c75c99c + .quad 0xe44184c000e33cf4 + .quad 0x0a676b9bba907634 + .quad 0x669e2cb571f379d7 + .quad 0xcb116b73a49bd308 + .quad 0x025aad6b2392729e + .quad 0xb4793efa3f55d9b1 + .quad 0x72a1056140678bb9 + + // 2^92 * 4 * B + + .quad 0xa2b6812b1cc9249d + .quad 0x62866eee21211f58 + .quad 0x2cb5c5b85df10ece + .quad 0x03a6b259e263ae00 + .quad 0x0d8d2909e2e505b6 + .quad 0x98ca78abc0291230 + .quad 0x77ef5569a9b12327 + .quad 0x7c77897b81439b47 + .quad 0xf1c1b5e2de331cb5 + .quad 0x5a9f5d8e15fca420 + .quad 0x9fa438f17bd932b1 + .quad 0x2a381bf01c6146e7 + + // 2^92 * 5 * B + + .quad 0xac9b9879cfc811c1 + .quad 0x8b7d29813756e567 + .quad 0x50da4e607c70edfc + .quad 0x5dbca62f884400b6 + .quad 0xf7c0be32b534166f + .quad 0x27e6ca6419cf70d4 + .quad 0x934df7d7a957a759 + .quad 0x5701461dabdec2aa + .quad 0x2c6747402c915c25 + .quad 0x1bdcd1a80b0d340a + .quad 0x5e5601bd07b43f5f + .quad 0x2555b4e05539a242 + + // 2^92 * 6 * B + + .quad 0x6fc09f5266ddd216 + .quad 0xdce560a7c8e37048 + .quad 0xec65939da2df62fd + .quad 0x7a869ae7e52ed192 + .quad 0x78409b1d87e463d4 + .quad 0xad4da95acdfb639d + .quad 0xec28773755259b9c + .quad 0x69c806e9c31230ab + .quad 0x7b48f57414bb3f22 + .quad 0x68c7cee4aedccc88 + .quad 0xed2f936179ed80be + .quad 0x25d70b885f77bc4b + + // 2^92 * 7 * B + + .quad 0x4151c3d9762bf4de + .quad 0x083f435f2745d82b + .quad 0x29775a2e0d23ddd5 + .quad 0x138e3a6269a5db24 + .quad 0x98459d29bb1ae4d4 + .quad 0x56b9c4c739f954ec + .quad 0x832743f6c29b4b3e + .quad 0x21ea8e2798b6878a + .quad 0x87bef4b46a5a7b9c + .quad 0xd2299d1b5fc1d062 + .quad 0x82409818dd321648 + .quad 0x5c5abeb1e5a2e03d + + // 2^92 * 8 * B + + .quad 0x14722af4b73c2ddb + .quad 0xbc470c5f5a05060d + .quad 0x00943eac2581b02e + .quad 0x0e434b3b1f499c8f + .quad 0x02cde6de1306a233 + .quad 0x7b5a52a2116f8ec7 + .quad 0xe1c681f4c1163b5b + .quad 0x241d350660d32643 + .quad 0x6be4404d0ebc52c7 + .quad 0xae46233bb1a791f5 + .quad 0x2aec170ed25db42b + .quad 0x1d8dfd966645d694 + + // 2^96 * 1 * B + + .quad 0x296fa9c59c2ec4de + .quad 0xbc8b61bf4f84f3cb + .quad 0x1c7706d917a8f908 + .quad 0x63b795fc7ad3255d + .quad 0xd598639c12ddb0a4 + .quad 0xa5d19f30c024866b + .quad 0xd17c2f0358fce460 + .quad 0x07a195152e095e8a + .quad 0xa8368f02389e5fc8 + .quad 0x90433b02cf8de43b + .quad 0xafa1fd5dc5412643 + .quad 0x3e8fe83d032f0137 + + // 2^96 * 2 * B + + .quad 0x2f8b15b90570a294 + .quad 0x94f2427067084549 + .quad 0xde1c5ae161bbfd84 + .quad 0x75ba3b797fac4007 + .quad 0x08704c8de8efd13c + .quad 0xdfc51a8e33e03731 + .quad 0xa59d5da51260cde3 + .quad 0x22d60899a6258c86 + .quad 0x6239dbc070cdd196 + .quad 0x60fe8a8b6c7d8a9a + .quad 0xb38847bceb401260 + .quad 0x0904d07b87779e5e + + // 2^96 * 3 * B + + .quad 0xb4ce1fd4ddba919c + .quad 0xcf31db3ec74c8daa + .quad 0x2c63cc63ad86cc51 + .quad 0x43e2143fbc1dde07 + .quad 0xf4322d6648f940b9 + .quad 0x06952f0cbd2d0c39 + .quad 0x167697ada081f931 + .quad 0x6240aacebaf72a6c + .quad 0xf834749c5ba295a0 + .quad 0xd6947c5bca37d25a + .quad 0x66f13ba7e7c9316a + .quad 0x56bdaf238db40cac + + // 2^96 * 4 * B + + .quad 0x362ab9e3f53533eb + .quad 0x338568d56eb93d40 + .quad 0x9e0e14521d5a5572 + .quad 0x1d24a86d83741318 + .quad 0x1310d36cc19d3bb2 + .quad 0x062a6bb7622386b9 + .quad 0x7c9b8591d7a14f5c + .quad 0x03aa31507e1e5754 + .quad 0xf4ec7648ffd4ce1f + .quad 0xe045eaf054ac8c1c + .quad 0x88d225821d09357c + .quad 0x43b261dc9aeb4859 + + // 2^96 * 5 * B + + .quad 0xe55b1e1988bb79bb + .quad 0xa09ed07dc17a359d + .quad 0xb02c2ee2603dea33 + .quad 0x326055cf5b276bc2 + .quad 0x19513d8b6c951364 + .quad 0x94fe7126000bf47b + .quad 0x028d10ddd54f9567 + .quad 0x02b4d5e242940964 + .quad 0xb4a155cb28d18df2 + .quad 0xeacc4646186ce508 + .quad 0xc49cf4936c824389 + .quad 0x27a6c809ae5d3410 + + // 2^96 * 6 * B + + .quad 0x8ba6ebcd1f0db188 + .quad 0x37d3d73a675a5be8 + .quad 0xf22edfa315f5585a + .quad 0x2cb67174ff60a17e + .quad 0xcd2c270ac43d6954 + .quad 0xdd4a3e576a66cab2 + .quad 0x79fa592469d7036c + .quad 0x221503603d8c2599 + .quad 0x59eecdf9390be1d0 + .quad 0xa9422044728ce3f1 + .quad 0x82891c667a94f0f4 + .quad 0x7b1df4b73890f436 + + // 2^96 * 7 * B + + .quad 0xe492f2e0b3b2a224 + .quad 0x7c6c9e062b551160 + .quad 0x15eb8fe20d7f7b0e + .quad 0x61fcef2658fc5992 + .quad 0x5f2e221807f8f58c + .quad 0xe3555c9fd49409d4 + .quad 0xb2aaa88d1fb6a630 + .quad 0x68698245d352e03d + .quad 0xdbb15d852a18187a + .quad 0xf3e4aad386ddacd7 + .quad 0x44bae2810ff6c482 + .quad 0x46cf4c473daf01cf + + // 2^96 * 8 * B + + .quad 0x426525ed9ec4e5f9 + .quad 0x0e5eda0116903303 + .quad 0x72b1a7f2cbe5cadc + .quad 0x29387bcd14eb5f40 + .quad 0x213c6ea7f1498140 + .quad 0x7c1e7ef8392b4854 + .quad 0x2488c38c5629ceba + .quad 0x1065aae50d8cc5bb + .quad 0x1c2c4525df200d57 + .quad 0x5c3b2dd6bfca674a + .quad 0x0a07e7b1e1834030 + .quad 0x69a198e64f1ce716 + + // 2^100 * 1 * B + + .quad 0x7afcd613efa9d697 + .quad 0x0cc45aa41c067959 + .quad 0xa56fe104c1fada96 + .quad 0x3a73b70472e40365 + .quad 0x7b26e56b9e2d4734 + .quad 0xc4c7132b81c61675 + .quad 0xef5c9525ec9cde7f + .quad 0x39c80b16e71743ad + .quad 0x0f196e0d1b826c68 + .quad 0xf71ff0e24960e3db + .quad 0x6113167023b7436c + .quad 0x0cf0ea5877da7282 + + // 2^100 * 2 * B + + .quad 0x196c80a4ddd4ccbd + .quad 0x22e6f55d95f2dd9d + .quad 0xc75e33c740d6c71b + .quad 0x7bb51279cb3c042f + .quad 0xe332ced43ba6945a + .quad 0xde0b1361e881c05d + .quad 0x1ad40f095e67ed3b + .quad 0x5da8acdab8c63d5d + .quad 0xc4b6664a3a70159f + .quad 0x76194f0f0a904e14 + .quad 0xa5614c39a4096c13 + .quad 0x6cd0ff50979feced + + // 2^100 * 3 * B + + .quad 0xc0e067e78f4428ac + .quad 0x14835ab0a61135e3 + .quad 0xf21d14f338062935 + .quad 0x6390a4c8df04849c + .quad 0x7fecfabdb04ba18e + .quad 0xd0fc7bfc3bddbcf7 + .quad 0xa41d486e057a131c + .quad 0x641a4391f2223a61 + .quad 0xc5c6b95aa606a8db + .quad 0x914b7f9eb06825f1 + .quad 0x2a731f6b44fc9eff + .quad 0x30ddf38562705cfc + + // 2^100 * 4 * B + + .quad 0x4e3dcbdad1bff7f9 + .quad 0xc9118e8220645717 + .quad 0xbacccebc0f189d56 + .quad 0x1b4822e9d4467668 + .quad 0x33bef2bd68bcd52c + .quad 0xc649dbb069482ef2 + .quad 0xb5b6ee0c41cb1aee + .quad 0x5c294d270212a7e5 + .quad 0xab360a7f25563781 + .quad 0x2512228a480f7958 + .quad 0xc75d05276114b4e3 + .quad 0x222d9625d976fe2a + + // 2^100 * 5 * B + + .quad 0x1c717f85b372ace1 + .quad 0x81930e694638bf18 + .quad 0x239cad056bc08b58 + .quad 0x0b34271c87f8fff4 + .quad 0x0f94be7e0a344f85 + .quad 0xeb2faa8c87f22c38 + .quad 0x9ce1e75e4ee16f0f + .quad 0x43e64e5418a08dea + .quad 0x8155e2521a35ce63 + .quad 0xbe100d4df912028e + .quad 0xbff80bf8a57ddcec + .quad 0x57342dc96d6bc6e4 + + // 2^100 * 6 * B + + .quad 0xefeef065c8ce5998 + .quad 0xbf029510b5cbeaa2 + .quad 0x8c64a10620b7c458 + .quad 0x35134fb231c24855 + .quad 0xf3c3bcb71e707bf6 + .quad 0x351d9b8c7291a762 + .quad 0x00502e6edad69a33 + .quad 0x522f521f1ec8807f + .quad 0x272c1f46f9a3902b + .quad 0xc91ba3b799657bcc + .quad 0xae614b304f8a1c0e + .quad 0x7afcaad70b99017b + + // 2^100 * 7 * B + + .quad 0xc25ded54a4b8be41 + .quad 0x902d13e11bb0e2dd + .quad 0x41f43233cde82ab2 + .quad 0x1085faa5c3aae7cb + .quad 0xa88141ecef842b6b + .quad 0x55e7b14797abe6c5 + .quad 0x8c748f9703784ffe + .quad 0x5b50a1f7afcd00b7 + .quad 0x9b840f66f1361315 + .quad 0x18462242701003e9 + .quad 0x65ed45fae4a25080 + .quad 0x0a2862393fda7320 + + // 2^100 * 8 * B + + .quad 0x46ab13c8347cbc9d + .quad 0x3849e8d499c12383 + .quad 0x4cea314087d64ac9 + .quad 0x1f354134b1a29ee7 + .quad 0x960e737b6ecb9d17 + .quad 0xfaf24948d67ceae1 + .quad 0x37e7a9b4d55e1b89 + .quad 0x5cb7173cb46c59eb + .quad 0x4a89e68b82b7abf0 + .quad 0xf41cd9279ba6b7b9 + .quad 0x16e6c210e18d876f + .quad 0x7cacdb0f7f1b09c6 + + // 2^104 * 1 * B + + .quad 0x9062b2e0d91a78bc + .quad 0x47c9889cc8509667 + .quad 0x9df54a66405070b8 + .quad 0x7369e6a92493a1bf + .quad 0xe1014434dcc5caed + .quad 0x47ed5d963c84fb33 + .quad 0x70019576ed86a0e7 + .quad 0x25b2697bd267f9e4 + .quad 0x9d673ffb13986864 + .quad 0x3ca5fbd9415dc7b8 + .quad 0xe04ecc3bdf273b5e + .quad 0x1420683db54e4cd2 + + // 2^104 * 2 * B + + .quad 0xb478bd1e249dd197 + .quad 0x620c35005e58c102 + .quad 0xfb02d32fccbaac5c + .quad 0x60b63bebf508a72d + .quad 0x34eebb6fc1cc5ad0 + .quad 0x6a1b0ce99646ac8b + .quad 0xd3b0da49a66bde53 + .quad 0x31e83b4161d081c1 + .quad 0x97e8c7129e062b4f + .quad 0x49e48f4f29320ad8 + .quad 0x5bece14b6f18683f + .quad 0x55cf1eb62d550317 + + // 2^104 * 3 * B + + .quad 0x5879101065c23d58 + .quad 0x8b9d086d5094819c + .quad 0xe2402fa912c55fa7 + .quad 0x669a6564570891d4 + .quad 0x3076b5e37df58c52 + .quad 0xd73ab9dde799cc36 + .quad 0xbd831ce34913ee20 + .quad 0x1a56fbaa62ba0133 + .quad 0x943e6b505c9dc9ec + .quad 0x302557bba77c371a + .quad 0x9873ae5641347651 + .quad 0x13c4836799c58a5c + + // 2^104 * 4 * B + + .quad 0x423a5d465ab3e1b9 + .quad 0xfc13c187c7f13f61 + .quad 0x19f83664ecb5b9b6 + .quad 0x66f80c93a637b607 + .quad 0xc4dcfb6a5d8bd080 + .quad 0xdeebc4ec571a4842 + .quad 0xd4b2e883b8e55365 + .quad 0x50bdc87dc8e5b827 + .quad 0x606d37836edfe111 + .quad 0x32353e15f011abd9 + .quad 0x64b03ac325b73b96 + .quad 0x1dd56444725fd5ae + + // 2^104 * 5 * B + + .quad 0x8fa47ff83362127d + .quad 0xbc9f6ac471cd7c15 + .quad 0x6e71454349220c8b + .quad 0x0e645912219f732e + .quad 0xc297e60008bac89a + .quad 0x7d4cea11eae1c3e0 + .quad 0xf3e38be19fe7977c + .quad 0x3a3a450f63a305cd + .quad 0x078f2f31d8394627 + .quad 0x389d3183de94a510 + .quad 0xd1e36c6d17996f80 + .quad 0x318c8d9393a9a87b + + // 2^104 * 6 * B + + .quad 0xf2745d032afffe19 + .quad 0x0c9f3c497f24db66 + .quad 0xbc98d3e3ba8598ef + .quad 0x224c7c679a1d5314 + .quad 0x5d669e29ab1dd398 + .quad 0xfc921658342d9e3b + .quad 0x55851dfdf35973cd + .quad 0x509a41c325950af6 + .quad 0xbdc06edca6f925e9 + .quad 0x793ef3f4641b1f33 + .quad 0x82ec12809d833e89 + .quad 0x05bff02328a11389 + + // 2^104 * 7 * B + + .quad 0x3632137023cae00b + .quad 0x544acf0ad1accf59 + .quad 0x96741049d21a1c88 + .quad 0x780b8cc3fa2a44a7 + .quad 0x6881a0dd0dc512e4 + .quad 0x4fe70dc844a5fafe + .quad 0x1f748e6b8f4a5240 + .quad 0x576277cdee01a3ea + .quad 0x1ef38abc234f305f + .quad 0x9a577fbd1405de08 + .quad 0x5e82a51434e62a0d + .quad 0x5ff418726271b7a1 + + // 2^104 * 8 * B + + .quad 0x398e080c1789db9d + .quad 0xa7602025f3e778f5 + .quad 0xfa98894c06bd035d + .quad 0x106a03dc25a966be + .quad 0xe5db47e813b69540 + .quad 0xf35d2a3b432610e1 + .quad 0xac1f26e938781276 + .quad 0x29d4db8ca0a0cb69 + .quad 0xd9ad0aaf333353d0 + .quad 0x38669da5acd309e5 + .quad 0x3c57658ac888f7f0 + .quad 0x4ab38a51052cbefa + + // 2^108 * 1 * B + + .quad 0xdfdacbee4324c0e9 + .quad 0x054442883f955bb7 + .quad 0xdef7aaa8ea31609f + .quad 0x68aee70642287cff + .quad 0xf68fe2e8809de054 + .quad 0xe3bc096a9c82bad1 + .quad 0x076353d40aadbf45 + .quad 0x7b9b1fb5dea1959e + .quad 0xf01cc8f17471cc0c + .quad 0x95242e37579082bb + .quad 0x27776093d3e46b5f + .quad 0x2d13d55a28bd85fb + + // 2^108 * 2 * B + + .quad 0xfac5d2065b35b8da + .quad 0xa8da8a9a85624bb7 + .quad 0xccd2ca913d21cd0f + .quad 0x6b8341ee8bf90d58 + .quad 0xbf019cce7aee7a52 + .quad 0xa8ded2b6e454ead3 + .quad 0x3c619f0b87a8bb19 + .quad 0x3619b5d7560916d8 + .quad 0x3579f26b0282c4b2 + .quad 0x64d592f24fafefae + .quad 0xb7cded7b28c8c7c0 + .quad 0x6a927b6b7173a8d7 + + // 2^108 * 3 * B + + .quad 0x1f6db24f986e4656 + .quad 0x1021c02ed1e9105b + .quad 0xf8ff3fff2cc0a375 + .quad 0x1d2a6bf8c6c82592 + .quad 0x8d7040863ece88eb + .quad 0xf0e307a980eec08c + .quad 0xac2250610d788fda + .quad 0x056d92a43a0d478d + .quad 0x1b05a196fc3da5a1 + .quad 0x77d7a8c243b59ed0 + .quad 0x06da3d6297d17918 + .quad 0x66fbb494f12353f7 + + // 2^108 * 4 * B + + .quad 0x751a50b9d85c0fb8 + .quad 0xd1afdc258bcf097b + .quad 0x2f16a6a38309a969 + .quad 0x14ddff9ee5b00659 + .quad 0xd6d70996f12309d6 + .quad 0xdbfb2385e9c3d539 + .quad 0x46d602b0f7552411 + .quad 0x270a0b0557843e0c + .quad 0x61ff0640a7862bcc + .quad 0x81cac09a5f11abfe + .quad 0x9047830455d12abb + .quad 0x19a4bde1945ae873 + + // 2^108 * 5 * B + + .quad 0x9b9f26f520a6200a + .quad 0x64804443cf13eaf8 + .quad 0x8a63673f8631edd3 + .quad 0x72bbbce11ed39dc1 + .quad 0x40c709dec076c49f + .quad 0x657bfaf27f3e53f6 + .quad 0x40662331eca042c4 + .quad 0x14b375487eb4df04 + .quad 0xae853c94ab66dc47 + .quad 0xeb62343edf762d6e + .quad 0xf08e0e186fb2f7d1 + .quad 0x4f0b1c02700ab37a + + // 2^108 * 6 * B + + .quad 0xe1706787d81951fa + .quad 0xa10a2c8eb290c77b + .quad 0xe7382fa03ed66773 + .quad 0x0a4d84710bcc4b54 + .quad 0x79fd21ccc1b2e23f + .quad 0x4ae7c281453df52a + .quad 0xc8172ec9d151486b + .quad 0x68abe9443e0a7534 + .quad 0xda12c6c407831dcb + .quad 0x0da230d74d5c510d + .quad 0x4ab1531e6bd404e1 + .quad 0x4106b166bcf440ef + + // 2^108 * 7 * B + + .quad 0x02e57a421cd23668 + .quad 0x4ad9fb5d0eaef6fd + .quad 0x954e6727b1244480 + .quad 0x7f792f9d2699f331 + .quad 0xa485ccd539e4ecf2 + .quad 0x5aa3f3ad0555bab5 + .quad 0x145e3439937df82d + .quad 0x1238b51e1214283f + .quad 0x0b886b925fd4d924 + .quad 0x60906f7a3626a80d + .quad 0xecd367b4b98abd12 + .quad 0x2876beb1def344cf + + // 2^108 * 8 * B + + .quad 0xdc84e93563144691 + .quad 0x632fe8a0d61f23f4 + .quad 0x4caa800612a9a8d5 + .quad 0x48f9dbfa0e9918d3 + .quad 0xd594b3333a8a85f8 + .quad 0x4ea37689e78d7d58 + .quad 0x73bf9f455e8e351f + .quad 0x5507d7d2bc41ebb4 + .quad 0x1ceb2903299572fc + .quad 0x7c8ccaa29502d0ee + .quad 0x91bfa43411cce67b + .quad 0x5784481964a831e7 + + // 2^112 * 1 * B + + .quad 0xda7c2b256768d593 + .quad 0x98c1c0574422ca13 + .quad 0xf1a80bd5ca0ace1d + .quad 0x29cdd1adc088a690 + .quad 0xd6cfd1ef5fddc09c + .quad 0xe82b3efdf7575dce + .quad 0x25d56b5d201634c2 + .quad 0x3041c6bb04ed2b9b + .quad 0x0ff2f2f9d956e148 + .quad 0xade797759f356b2e + .quad 0x1a4698bb5f6c025c + .quad 0x104bbd6814049a7b + + // 2^112 * 2 * B + + .quad 0x51f0fd3168f1ed67 + .quad 0x2c811dcdd86f3bc2 + .quad 0x44dc5c4304d2f2de + .quad 0x5be8cc57092a7149 + .quad 0xa95d9a5fd67ff163 + .quad 0xe92be69d4cc75681 + .quad 0xb7f8024cde20f257 + .quad 0x204f2a20fb072df5 + .quad 0xc8143b3d30ebb079 + .quad 0x7589155abd652e30 + .quad 0x653c3c318f6d5c31 + .quad 0x2570fb17c279161f + + // 2^112 * 3 * B + + .quad 0x3efa367f2cb61575 + .quad 0xf5f96f761cd6026c + .quad 0xe8c7142a65b52562 + .quad 0x3dcb65ea53030acd + .quad 0x192ea9550bb8245a + .quad 0xc8e6fba88f9050d1 + .quad 0x7986ea2d88a4c935 + .quad 0x241c5f91de018668 + .quad 0x28d8172940de6caa + .quad 0x8fbf2cf022d9733a + .quad 0x16d7fcdd235b01d1 + .quad 0x08420edd5fcdf0e5 + + // 2^112 * 4 * B + + .quad 0xcdff20ab8362fa4a + .quad 0x57e118d4e21a3e6e + .quad 0xe3179617fc39e62b + .quad 0x0d9a53efbc1769fd + .quad 0x0358c34e04f410ce + .quad 0xb6135b5a276e0685 + .quad 0x5d9670c7ebb91521 + .quad 0x04d654f321db889c + .quad 0x5e7dc116ddbdb5d5 + .quad 0x2954deb68da5dd2d + .quad 0x1cb608173334a292 + .quad 0x4a7a4f2618991ad7 + + // 2^112 * 5 * B + + .quad 0xf4a718025fb15f95 + .quad 0x3df65f346b5c1b8f + .quad 0xcdfcf08500e01112 + .quad 0x11b50c4cddd31848 + .quad 0x24c3b291af372a4b + .quad 0x93da8270718147f2 + .quad 0xdd84856486899ef2 + .quad 0x4a96314223e0ee33 + .quad 0xa6e8274408a4ffd6 + .quad 0x738e177e9c1576d9 + .quad 0x773348b63d02b3f2 + .quad 0x4f4bce4dce6bcc51 + + // 2^112 * 6 * B + + .quad 0xa71fce5ae2242584 + .quad 0x26ea725692f58a9e + .quad 0xd21a09d71cea3cf4 + .quad 0x73fcdd14b71c01e6 + .quad 0x30e2616ec49d0b6f + .quad 0xe456718fcaec2317 + .quad 0x48eb409bf26b4fa6 + .quad 0x3042cee561595f37 + .quad 0x427e7079449bac41 + .quad 0x855ae36dbce2310a + .quad 0x4cae76215f841a7c + .quad 0x389e740c9a9ce1d6 + + // 2^112 * 7 * B + + .quad 0x64fcb3ae34dcb9ce + .quad 0x97500323e348d0ad + .quad 0x45b3f07d62c6381b + .quad 0x61545379465a6788 + .quad 0xc9bd78f6570eac28 + .quad 0xe55b0b3227919ce1 + .quad 0x65fc3eaba19b91ed + .quad 0x25c425e5d6263690 + .quad 0x3f3e06a6f1d7de6e + .quad 0x3ef976278e062308 + .quad 0x8c14f6264e8a6c77 + .quad 0x6539a08915484759 + + // 2^112 * 8 * B + + .quad 0xe9d21f74c3d2f773 + .quad 0xc150544125c46845 + .quad 0x624e5ce8f9b99e33 + .quad 0x11c5e4aac5cd186c + .quad 0xddc4dbd414bb4a19 + .quad 0x19b2bc3c98424f8e + .quad 0x48a89fd736ca7169 + .quad 0x0f65320ef019bd90 + .quad 0xd486d1b1cafde0c6 + .quad 0x4f3fe6e3163b5181 + .quad 0x59a8af0dfaf2939a + .quad 0x4cabc7bdec33072a + + // 2^116 * 1 * B + + .quad 0x16faa8fb532f7428 + .quad 0xdbd42ea046a4e272 + .quad 0x5337653b8b9ea480 + .quad 0x4065947223973f03 + .quad 0xf7c0a19c1a54a044 + .quad 0x4a1c5e2477bd9fbb + .quad 0xa6e3ca115af22972 + .quad 0x1819bb953f2e9e0d + .quad 0x498fbb795e042e84 + .quad 0x7d0dd89a7698b714 + .quad 0x8bfb0ba427fe6295 + .quad 0x36ba82e721200524 + + // 2^116 * 2 * B + + .quad 0xd60ecbb74245ec41 + .quad 0xfd9be89e34348716 + .quad 0xc9240afee42284de + .quad 0x4472f648d0531db4 + .quad 0xc8d69d0a57274ed5 + .quad 0x45ba803260804b17 + .quad 0xdf3cda102255dfac + .quad 0x77d221232709b339 + .quad 0x498a6d7064ad94d8 + .quad 0xa5b5c8fd9af62263 + .quad 0x8ca8ed0545c141f4 + .quad 0x2c63bec3662d358c + + // 2^116 * 3 * B + + .quad 0x7fe60d8bea787955 + .quad 0xb9dc117eb5f401b7 + .quad 0x91c7c09a19355cce + .quad 0x22692ef59442bedf + .quad 0x9a518b3a8586f8bf + .quad 0x9ee71af6cbb196f0 + .quad 0xaa0625e6a2385cf2 + .quad 0x1deb2176ddd7c8d1 + .quad 0x8563d19a2066cf6c + .quad 0x401bfd8c4dcc7cd7 + .quad 0xd976a6becd0d8f62 + .quad 0x67cfd773a278b05e + + // 2^116 * 4 * B + + .quad 0x8dec31faef3ee475 + .quad 0x99dbff8a9e22fd92 + .quad 0x512d11594e26cab1 + .quad 0x0cde561eec4310b9 + .quad 0x2d5fa9855a4e586a + .quad 0x65f8f7a449beab7e + .quad 0xaa074dddf21d33d3 + .quad 0x185cba721bcb9dee + .quad 0x93869da3f4e3cb41 + .quad 0xbf0392f540f7977e + .quad 0x026204fcd0463b83 + .quad 0x3ec91a769eec6eed + + // 2^116 * 5 * B + + .quad 0x1e9df75bf78166ad + .quad 0x4dfda838eb0cd7af + .quad 0xba002ed8c1eaf988 + .quad 0x13fedb3e11f33cfc + .quad 0x0fad2fb7b0a3402f + .quad 0x46615ecbfb69f4a8 + .quad 0xf745bcc8c5f8eaa6 + .quad 0x7a5fa8794a94e896 + .quad 0x52958faa13cd67a1 + .quad 0x965ee0818bdbb517 + .quad 0x16e58daa2e8845b3 + .quad 0x357d397d5499da8f + + // 2^116 * 6 * B + + .quad 0x1ebfa05fb0bace6c + .quad 0xc934620c1caf9a1e + .quad 0xcc771cc41d82b61a + .quad 0x2d94a16aa5f74fec + .quad 0x481dacb4194bfbf8 + .quad 0x4d77e3f1bae58299 + .quad 0x1ef4612e7d1372a0 + .quad 0x3a8d867e70ff69e1 + .quad 0x6f58cd5d55aff958 + .quad 0xba3eaa5c75567721 + .quad 0x75c123999165227d + .quad 0x69be1343c2f2b35e + + // 2^116 * 7 * B + + .quad 0x0e091d5ee197c92a + .quad 0x4f51019f2945119f + .quad 0x143679b9f034e99c + .quad 0x7d88112e4d24c696 + .quad 0x82bbbdac684b8de3 + .quad 0xa2f4c7d03fca0718 + .quad 0x337f92fbe096aaa8 + .quad 0x200d4d8c63587376 + .quad 0x208aed4b4893b32b + .quad 0x3efbf23ebe59b964 + .quad 0xd762deb0dba5e507 + .quad 0x69607bd681bd9d94 + + // 2^116 * 8 * B + + .quad 0xf6be021068de1ce1 + .quad 0xe8d518e70edcbc1f + .quad 0xe3effdd01b5505a5 + .quad 0x35f63353d3ec3fd0 + .quad 0x3b7f3bd49323a902 + .quad 0x7c21b5566b2c6e53 + .quad 0xe5ba8ff53a7852a7 + .quad 0x28bc77a5838ece00 + .quad 0x63ba78a8e25d8036 + .quad 0x63651e0094333490 + .quad 0x48d82f20288ce532 + .quad 0x3a31abfa36b57524 + + // 2^120 * 1 * B + + .quad 0x239e9624089c0a2e + .quad 0xc748c4c03afe4738 + .quad 0x17dbed2a764fa12a + .quad 0x639b93f0321c8582 + .quad 0xc08f788f3f78d289 + .quad 0xfe30a72ca1404d9f + .quad 0xf2778bfccf65cc9d + .quad 0x7ee498165acb2021 + .quad 0x7bd508e39111a1c3 + .quad 0x2b2b90d480907489 + .quad 0xe7d2aec2ae72fd19 + .quad 0x0edf493c85b602a6 + + // 2^120 * 2 * B + + .quad 0xaecc8158599b5a68 + .quad 0xea574f0febade20e + .quad 0x4fe41d7422b67f07 + .quad 0x403b92e3019d4fb4 + .quad 0x6767c4d284764113 + .quad 0xa090403ff7f5f835 + .quad 0x1c8fcffacae6bede + .quad 0x04c00c54d1dfa369 + .quad 0x4dc22f818b465cf8 + .quad 0x71a0f35a1480eff8 + .quad 0xaee8bfad04c7d657 + .quad 0x355bb12ab26176f4 + + // 2^120 * 3 * B + + .quad 0xa71e64cc7493bbf4 + .quad 0xe5bd84d9eca3b0c3 + .quad 0x0a6bc50cfa05e785 + .quad 0x0f9b8132182ec312 + .quad 0xa301dac75a8c7318 + .quad 0xed90039db3ceaa11 + .quad 0x6f077cbf3bae3f2d + .quad 0x7518eaf8e052ad8e + .quad 0xa48859c41b7f6c32 + .quad 0x0f2d60bcf4383298 + .quad 0x1815a929c9b1d1d9 + .quad 0x47c3871bbb1755c4 + + // 2^120 * 4 * B + + .quad 0x5144539771ec4f48 + .quad 0xf805b17dc98c5d6e + .quad 0xf762c11a47c3c66b + .quad 0x00b89b85764699dc + .quad 0xfbe65d50c85066b0 + .quad 0x62ecc4b0b3a299b0 + .quad 0xe53754ea441ae8e0 + .quad 0x08fea02ce8d48d5f + .quad 0x824ddd7668deead0 + .quad 0xc86445204b685d23 + .quad 0xb514cfcd5d89d665 + .quad 0x473829a74f75d537 + + // 2^120 * 5 * B + + .quad 0x82d2da754679c418 + .quad 0xe63bd7d8b2618df0 + .quad 0x355eef24ac47eb0a + .quad 0x2078684c4833c6b4 + .quad 0x23d9533aad3902c9 + .quad 0x64c2ddceef03588f + .quad 0x15257390cfe12fb4 + .quad 0x6c668b4d44e4d390 + .quad 0x3b48cf217a78820c + .quad 0xf76a0ab281273e97 + .quad 0xa96c65a78c8eed7b + .quad 0x7411a6054f8a433f + + // 2^120 * 6 * B + + .quad 0x4d659d32b99dc86d + .quad 0x044cdc75603af115 + .quad 0xb34c712cdcc2e488 + .quad 0x7c136574fb8134ff + .quad 0x579ae53d18b175b4 + .quad 0x68713159f392a102 + .quad 0x8455ecba1eef35f5 + .quad 0x1ec9a872458c398f + .quad 0xb8e6a4d400a2509b + .quad 0x9b81d7020bc882b4 + .quad 0x57e7cc9bf1957561 + .quad 0x3add88a5c7cd6460 + + // 2^120 * 7 * B + + .quad 0xab895770b635dcf2 + .quad 0x02dfef6cf66c1fbc + .quad 0x85530268beb6d187 + .quad 0x249929fccc879e74 + .quad 0x85c298d459393046 + .quad 0x8f7e35985ff659ec + .quad 0x1d2ca22af2f66e3a + .quad 0x61ba1131a406a720 + .quad 0xa3d0a0f116959029 + .quad 0x023b6b6cba7ebd89 + .quad 0x7bf15a3e26783307 + .quad 0x5620310cbbd8ece7 + + // 2^120 * 8 * B + + .quad 0x528993434934d643 + .quad 0xb9dbf806a51222f5 + .quad 0x8f6d878fc3f41c22 + .quad 0x37676a2a4d9d9730 + .quad 0x6646b5f477e285d6 + .quad 0x40e8ff676c8f6193 + .quad 0xa6ec7311abb594dd + .quad 0x7ec846f3658cec4d + .quad 0x9b5e8f3f1da22ec7 + .quad 0x130f1d776c01cd13 + .quad 0x214c8fcfa2989fb8 + .quad 0x6daaf723399b9dd5 + + // 2^124 * 1 * B + + .quad 0x591e4a5610628564 + .quad 0x2a4bb87ca8b4df34 + .quad 0xde2a2572e7a38e43 + .quad 0x3cbdabd9fee5046e + .quad 0x81aebbdd2cd13070 + .quad 0x962e4325f85a0e9e + .quad 0xde9391aacadffecb + .quad 0x53177fda52c230e6 + .quad 0xa7bc970650b9de79 + .quad 0x3d12a7fbc301b59b + .quad 0x02652e68d36ae38c + .quad 0x79d739835a6199dc + + // 2^124 * 2 * B + + .quad 0xd9354df64131c1bd + .quad 0x758094a186ec5822 + .quad 0x4464ee12e459f3c2 + .quad 0x6c11fce4cb133282 + .quad 0x21c9d9920d591737 + .quad 0x9bea41d2e9b46cd6 + .quad 0xe20e84200d89bfca + .quad 0x79d99f946eae5ff8 + .quad 0xf17b483568673205 + .quad 0x387deae83caad96c + .quad 0x61b471fd56ffe386 + .quad 0x31741195b745a599 + + // 2^124 * 3 * B + + .quad 0xe8d10190b77a360b + .quad 0x99b983209995e702 + .quad 0xbd4fdff8fa0247aa + .quad 0x2772e344e0d36a87 + .quad 0x17f8ba683b02a047 + .quad 0x50212096feefb6c8 + .quad 0x70139be21556cbe2 + .quad 0x203e44a11d98915b + .quad 0xd6863eba37b9e39f + .quad 0x105bc169723b5a23 + .quad 0x104f6459a65c0762 + .quad 0x567951295b4d38d4 + + // 2^124 * 4 * B + + .quad 0x535fd60613037524 + .quad 0xe210adf6b0fbc26a + .quad 0xac8d0a9b23e990ae + .quad 0x47204d08d72fdbf9 + .quad 0x07242eb30d4b497f + .quad 0x1ef96306b9bccc87 + .quad 0x37950934d8116f45 + .quad 0x05468d6201405b04 + .quad 0x00f565a9f93267de + .quad 0xcecfd78dc0d58e8a + .quad 0xa215e2dcf318e28e + .quad 0x4599ee919b633352 + + // 2^124 * 5 * B + + .quad 0xd3c220ca70e0e76b + .quad 0xb12bea58ea9f3094 + .quad 0x294ddec8c3271282 + .quad 0x0c3539e1a1d1d028 + .quad 0xac746d6b861ae579 + .quad 0x31ab0650f6aea9dc + .quad 0x241d661140256d4c + .quad 0x2f485e853d21a5de + .quad 0x329744839c0833f3 + .quad 0x6fe6257fd2abc484 + .quad 0x5327d1814b358817 + .quad 0x65712585893fe9bc + + // 2^124 * 6 * B + + .quad 0x9c102fb732a61161 + .quad 0xe48e10dd34d520a8 + .quad 0x365c63546f9a9176 + .quad 0x32f6fe4c046f6006 + .quad 0x81c29f1bd708ee3f + .quad 0xddcb5a05ae6407d0 + .quad 0x97aec1d7d2a3eba7 + .quad 0x1590521a91d50831 + .quad 0x40a3a11ec7910acc + .quad 0x9013dff8f16d27ae + .quad 0x1a9720d8abb195d4 + .quad 0x1bb9fe452ea98463 + + // 2^124 * 7 * B + + .quad 0xe9d1d950b3d54f9e + .quad 0x2d5f9cbee00d33c1 + .quad 0x51c2c656a04fc6ac + .quad 0x65c091ee3c1cbcc9 + .quad 0xcf5e6c95cc36747c + .quad 0x294201536b0bc30d + .quad 0x453ac67cee797af0 + .quad 0x5eae6ab32a8bb3c9 + .quad 0x7083661114f118ea + .quad 0x2b37b87b94349cad + .quad 0x7273f51cb4e99f40 + .quad 0x78a2a95823d75698 + + // 2^124 * 8 * B + + .quad 0xa2b072e95c8c2ace + .quad 0x69cffc96651e9c4b + .quad 0x44328ef842e7b42b + .quad 0x5dd996c122aadeb3 + .quad 0xb4f23c425ef83207 + .quad 0xabf894d3c9a934b5 + .quad 0xd0708c1339fd87f7 + .quad 0x1876789117166130 + .quad 0x925b5ef0670c507c + .quad 0x819bc842b93c33bf + .quad 0x10792e9a70dd003f + .quad 0x59ad4b7a6e28dc74 + + // 2^128 * 1 * B + + .quad 0x5f3a7562eb3dbe47 + .quad 0xf7ea38548ebda0b8 + .quad 0x00c3e53145747299 + .quad 0x1304e9e71627d551 + .quad 0x583b04bfacad8ea2 + .quad 0x29b743e8148be884 + .quad 0x2b1e583b0810c5db + .quad 0x2b5449e58eb3bbaa + .quad 0x789814d26adc9cfe + .quad 0x3c1bab3f8b48dd0b + .quad 0xda0fe1fff979c60a + .quad 0x4468de2d7c2dd693 + + // 2^128 * 2 * B + + .quad 0x51bb355e9419469e + .quad 0x33e6dc4c23ddc754 + .quad 0x93a5b6d6447f9962 + .quad 0x6cce7c6ffb44bd63 + .quad 0x4b9ad8c6f86307ce + .quad 0x21113531435d0c28 + .quad 0xd4a866c5657a772c + .quad 0x5da6427e63247352 + .quad 0x1a94c688deac22ca + .quad 0xb9066ef7bbae1ff8 + .quad 0x88ad8c388d59580f + .quad 0x58f29abfe79f2ca8 + + // 2^128 * 3 * B + + .quad 0xe90ecfab8de73e68 + .quad 0x54036f9f377e76a5 + .quad 0xf0495b0bbe015982 + .quad 0x577629c4a7f41e36 + .quad 0x4b5a64bf710ecdf6 + .quad 0xb14ce538462c293c + .quad 0x3643d056d50b3ab9 + .quad 0x6af93724185b4870 + .quad 0x3220024509c6a888 + .quad 0xd2e036134b558973 + .quad 0x83e236233c33289f + .quad 0x701f25bb0caec18f + + // 2^128 * 4 * B + + .quad 0xc3a8b0f8e4616ced + .quad 0xf700660e9e25a87d + .quad 0x61e3061ff4bca59c + .quad 0x2e0c92bfbdc40be9 + .quad 0x9d18f6d97cbec113 + .quad 0x844a06e674bfdbe4 + .quad 0x20f5b522ac4e60d6 + .quad 0x720a5bc050955e51 + .quad 0x0c3f09439b805a35 + .quad 0xe84e8b376242abfc + .quad 0x691417f35c229346 + .quad 0x0e9b9cbb144ef0ec + + // 2^128 * 5 * B + + .quad 0xfbbad48ffb5720ad + .quad 0xee81916bdbf90d0e + .quad 0xd4813152635543bf + .quad 0x221104eb3f337bd8 + .quad 0x8dee9bd55db1beee + .quad 0xc9c3ab370a723fb9 + .quad 0x44a8f1bf1c68d791 + .quad 0x366d44191cfd3cde + .quad 0x9e3c1743f2bc8c14 + .quad 0x2eda26fcb5856c3b + .quad 0xccb82f0e68a7fb97 + .quad 0x4167a4e6bc593244 + + // 2^128 * 6 * B + + .quad 0x643b9d2876f62700 + .quad 0x5d1d9d400e7668eb + .quad 0x1b4b430321fc0684 + .quad 0x7938bb7e2255246a + .quad 0xc2be2665f8ce8fee + .quad 0xe967ff14e880d62c + .quad 0xf12e6e7e2f364eee + .quad 0x34b33370cb7ed2f6 + .quad 0xcdc591ee8681d6cc + .quad 0xce02109ced85a753 + .quad 0xed7485c158808883 + .quad 0x1176fc6e2dfe65e4 + + // 2^128 * 7 * B + + .quad 0xb4af6cd05b9c619b + .quad 0x2ddfc9f4b2a58480 + .quad 0x3d4fa502ebe94dc4 + .quad 0x08fc3a4c677d5f34 + .quad 0xdb90e28949770eb8 + .quad 0x98fbcc2aacf440a3 + .quad 0x21354ffeded7879b + .quad 0x1f6a3e54f26906b6 + .quad 0x60a4c199d30734ea + .quad 0x40c085b631165cd6 + .quad 0xe2333e23f7598295 + .quad 0x4f2fad0116b900d1 + + // 2^128 * 8 * B + + .quad 0x44beb24194ae4e54 + .quad 0x5f541c511857ef6c + .quad 0xa61e6b2d368d0498 + .quad 0x445484a4972ef7ab + .quad 0x962cd91db73bb638 + .quad 0xe60577aafc129c08 + .quad 0x6f619b39f3b61689 + .quad 0x3451995f2944ee81 + .quad 0x9152fcd09fea7d7c + .quad 0x4a816c94b0935cf6 + .quad 0x258e9aaa47285c40 + .quad 0x10b89ca6042893b7 + + // 2^132 * 1 * B + + .quad 0x9b2a426e3b646025 + .quad 0x32127190385ce4cf + .quad 0xa25cffc2dd6dea45 + .quad 0x06409010bea8de75 + .quad 0xd67cded679d34aa0 + .quad 0xcc0b9ec0cc4db39f + .quad 0xa535a456e35d190f + .quad 0x2e05d9eaf61f6fef + .quad 0xc447901ad61beb59 + .quad 0x661f19bce5dc880a + .quad 0x24685482b7ca6827 + .quad 0x293c778cefe07f26 + + // 2^132 * 2 * B + + .quad 0x86809e7007069096 + .quad 0xaad75b15e4e50189 + .quad 0x07f35715a21a0147 + .quad 0x0487f3f112815d5e + .quad 0x16c795d6a11ff200 + .quad 0xcb70d0e2b15815c9 + .quad 0x89f293209b5395b5 + .quad 0x50b8c2d031e47b4f + .quad 0x48350c08068a4962 + .quad 0x6ffdd05351092c9a + .quad 0x17af4f4aaf6fc8dd + .quad 0x4b0553b53cdba58b + + // 2^132 * 3 * B + + .quad 0x9c65fcbe1b32ff79 + .quad 0xeb75ea9f03b50f9b + .quad 0xfced2a6c6c07e606 + .quad 0x35106cd551717908 + .quad 0xbf05211b27c152d4 + .quad 0x5ec26849bd1af639 + .quad 0x5e0b2caa8e6fab98 + .quad 0x054c8bdd50bd0840 + .quad 0x38a0b12f1dcf073d + .quad 0x4b60a8a3b7f6a276 + .quad 0xfed5ac25d3404f9a + .quad 0x72e82d5e5505c229 + + // 2^132 * 4 * B + + .quad 0x6b0b697ff0d844c8 + .quad 0xbb12f85cd979cb49 + .quad 0xd2a541c6c1da0f1f + .quad 0x7b7c242958ce7211 + .quad 0x00d9cdfd69771d02 + .quad 0x410276cd6cfbf17e + .quad 0x4c45306c1cb12ec7 + .quad 0x2857bf1627500861 + .quad 0x9f21903f0101689e + .quad 0xd779dfd3bf861005 + .quad 0xa122ee5f3deb0f1b + .quad 0x510df84b485a00d4 + + // 2^132 * 5 * B + + .quad 0xa54133bb9277a1fa + .quad 0x74ec3b6263991237 + .quad 0x1a3c54dc35d2f15a + .quad 0x2d347144e482ba3a + .quad 0x24b3c887c70ac15e + .quad 0xb0f3a557fb81b732 + .quad 0x9b2cde2fe578cc1b + .quad 0x4cf7ed0703b54f8e + .quad 0x6bd47c6598fbee0f + .quad 0x9e4733e2ab55be2d + .quad 0x1093f624127610c5 + .quad 0x4e05e26ad0a1eaa4 + + // 2^132 * 6 * B + + .quad 0xda9b6b624b531f20 + .quad 0x429a760e77509abb + .quad 0xdbe9f522e823cb80 + .quad 0x618f1856880c8f82 + .quad 0x1833c773e18fe6c0 + .quad 0xe3c4711ad3c87265 + .quad 0x3bfd3c4f0116b283 + .quad 0x1955875eb4cd4db8 + .quad 0x6da6de8f0e399799 + .quad 0x7ad61aa440fda178 + .quad 0xb32cd8105e3563dd + .quad 0x15f6beae2ae340ae + + // 2^132 * 7 * B + + .quad 0x862bcb0c31ec3a62 + .quad 0x810e2b451138f3c2 + .quad 0x788ec4b839dac2a4 + .quad 0x28f76867ae2a9281 + .quad 0xba9a0f7b9245e215 + .quad 0xf368612dd98c0dbb + .quad 0x2e84e4cbf220b020 + .quad 0x6ba92fe962d90eda + .quad 0x3e4df9655884e2aa + .quad 0xbd62fbdbdbd465a5 + .quad 0xd7596caa0de9e524 + .quad 0x6e8042ccb2b1b3d7 + + // 2^132 * 8 * B + + .quad 0xf10d3c29ce28ca6e + .quad 0xbad34540fcb6093d + .quad 0xe7426ed7a2ea2d3f + .quad 0x08af9d4e4ff298b9 + .quad 0x1530653616521f7e + .quad 0x660d06b896203dba + .quad 0x2d3989bc545f0879 + .quad 0x4b5303af78ebd7b0 + .quad 0x72f8a6c3bebcbde8 + .quad 0x4f0fca4adc3a8e89 + .quad 0x6fa9d4e8c7bfdf7a + .quad 0x0dcf2d679b624eb7 + + // 2^136 * 1 * B + + .quad 0x3d5947499718289c + .quad 0x12ebf8c524533f26 + .quad 0x0262bfcb14c3ef15 + .quad 0x20b878d577b7518e + .quad 0x753941be5a45f06e + .quad 0xd07caeed6d9c5f65 + .quad 0x11776b9c72ff51b6 + .quad 0x17d2d1d9ef0d4da9 + .quad 0x27f2af18073f3e6a + .quad 0xfd3fe519d7521069 + .quad 0x22e3b72c3ca60022 + .quad 0x72214f63cc65c6a7 + + // 2^136 * 2 * B + + .quad 0xb4e37f405307a693 + .quad 0xaba714d72f336795 + .quad 0xd6fbd0a773761099 + .quad 0x5fdf48c58171cbc9 + .quad 0x1d9db7b9f43b29c9 + .quad 0xd605824a4f518f75 + .quad 0xf2c072bd312f9dc4 + .quad 0x1f24ac855a1545b0 + .quad 0x24d608328e9505aa + .quad 0x4748c1d10c1420ee + .quad 0xc7ffe45c06fb25a2 + .quad 0x00ba739e2ae395e6 + + // 2^136 * 3 * B + + .quad 0x592e98de5c8790d6 + .quad 0xe5bfb7d345c2a2df + .quad 0x115a3b60f9b49922 + .quad 0x03283a3e67ad78f3 + .quad 0xae4426f5ea88bb26 + .quad 0x360679d984973bfb + .quad 0x5c9f030c26694e50 + .quad 0x72297de7d518d226 + .quad 0x48241dc7be0cb939 + .quad 0x32f19b4d8b633080 + .quad 0xd3dfc90d02289308 + .quad 0x05e1296846271945 + + // 2^136 * 4 * B + + .quad 0xba82eeb32d9c495a + .quad 0xceefc8fcf12bb97c + .quad 0xb02dabae93b5d1e0 + .quad 0x39c00c9c13698d9b + .quad 0xadbfbbc8242c4550 + .quad 0xbcc80cecd03081d9 + .quad 0x843566a6f5c8df92 + .quad 0x78cf25d38258ce4c + .quad 0x15ae6b8e31489d68 + .quad 0xaa851cab9c2bf087 + .quad 0xc9a75a97f04efa05 + .quad 0x006b52076b3ff832 + + // 2^136 * 5 * B + + .quad 0x29e0cfe19d95781c + .quad 0xb681df18966310e2 + .quad 0x57df39d370516b39 + .quad 0x4d57e3443bc76122 + .quad 0xf5cb7e16b9ce082d + .quad 0x3407f14c417abc29 + .quad 0xd4b36bce2bf4a7ab + .quad 0x7de2e9561a9f75ce + .quad 0xde70d4f4b6a55ecb + .quad 0x4801527f5d85db99 + .quad 0xdbc9c440d3ee9a81 + .quad 0x6b2a90af1a6029ed + + // 2^136 * 6 * B + + .quad 0x6923f4fc9ae61e97 + .quad 0x5735281de03f5fd1 + .quad 0xa764ae43e6edd12d + .quad 0x5fd8f4e9d12d3e4a + .quad 0x77ebf3245bb2d80a + .quad 0xd8301b472fb9079b + .quad 0xc647e6f24cee7333 + .quad 0x465812c8276c2109 + .quad 0x4d43beb22a1062d9 + .quad 0x7065fb753831dc16 + .quad 0x180d4a7bde2968d7 + .quad 0x05b32c2b1cb16790 + + // 2^136 * 7 * B + + .quad 0xc8c05eccd24da8fd + .quad 0xa1cf1aac05dfef83 + .quad 0xdbbeeff27df9cd61 + .quad 0x3b5556a37b471e99 + .quad 0xf7fca42c7ad58195 + .quad 0x3214286e4333f3cc + .quad 0xb6c29d0d340b979d + .quad 0x31771a48567307e1 + .quad 0x32b0c524e14dd482 + .quad 0xedb351541a2ba4b6 + .quad 0xa3d16048282b5af3 + .quad 0x4fc079d27a7336eb + + // 2^136 * 8 * B + + .quad 0x51c938b089bf2f7f + .quad 0x2497bd6502dfe9a7 + .quad 0xffffc09c7880e453 + .quad 0x124567cecaf98e92 + .quad 0xdc348b440c86c50d + .quad 0x1337cbc9cc94e651 + .quad 0x6422f74d643e3cb9 + .quad 0x241170c2bae3cd08 + .quad 0x3ff9ab860ac473b4 + .quad 0xf0911dee0113e435 + .quad 0x4ae75060ebc6c4af + .quad 0x3f8612966c87000d + + // 2^140 * 1 * B + + .quad 0x0c9c5303f7957be4 + .quad 0xa3c31a20e085c145 + .quad 0xb0721d71d0850050 + .quad 0x0aba390eab0bf2da + .quad 0x529fdffe638c7bf3 + .quad 0xdf2b9e60388b4995 + .quad 0xe027b34f1bad0249 + .quad 0x7bc92fc9b9fa74ed + .quad 0x9f97ef2e801ad9f9 + .quad 0x83697d5479afda3a + .quad 0xe906b3ffbd596b50 + .quad 0x02672b37dd3fb8e0 + + // 2^140 * 2 * B + + .quad 0x48b2ca8b260885e4 + .quad 0xa4286bec82b34c1c + .quad 0x937e1a2617f58f74 + .quad 0x741d1fcbab2ca2a5 + .quad 0xee9ba729398ca7f5 + .quad 0xeb9ca6257a4849db + .quad 0x29eb29ce7ec544e1 + .quad 0x232ca21ef736e2c8 + .quad 0xbf61423d253fcb17 + .quad 0x08803ceafa39eb14 + .quad 0xf18602df9851c7af + .quad 0x0400f3a049e3414b + + // 2^140 * 3 * B + + .quad 0xabce0476ba61c55b + .quad 0x36a3d6d7c4d39716 + .quad 0x6eb259d5e8d82d09 + .quad 0x0c9176e984d756fb + .quad 0x2efba412a06e7b06 + .quad 0x146785452c8d2560 + .quad 0xdf9713ebd67a91c7 + .quad 0x32830ac7157eadf3 + .quad 0x0e782a7ab73769e8 + .quad 0x04a05d7875b18e2c + .quad 0x29525226ebcceae1 + .quad 0x0d794f8383eba820 + + // 2^140 * 4 * B + + .quad 0xff35f5cb9e1516f4 + .quad 0xee805bcf648aae45 + .quad 0xf0d73c2bb93a9ef3 + .quad 0x097b0bf22092a6c2 + .quad 0x7be44ce7a7a2e1ac + .quad 0x411fd93efad1b8b7 + .quad 0x1734a1d70d5f7c9b + .quad 0x0d6592233127db16 + .quad 0xc48bab1521a9d733 + .quad 0xa6c2eaead61abb25 + .quad 0x625c6c1cc6cb4305 + .quad 0x7fc90fea93eb3a67 + + // 2^140 * 5 * B + + .quad 0x0408f1fe1f5c5926 + .quad 0x1a8f2f5e3b258bf4 + .quad 0x40a951a2fdc71669 + .quad 0x6598ee93c98b577e + .quad 0xc527deb59c7cb23d + .quad 0x955391695328404e + .quad 0xd64392817ccf2c7a + .quad 0x6ce97dabf7d8fa11 + .quad 0x25b5a8e50ef7c48f + .quad 0xeb6034116f2ce532 + .quad 0xc5e75173e53de537 + .quad 0x73119fa08c12bb03 + + // 2^140 * 6 * B + + .quad 0xed30129453f1a4cb + .quad 0xbce621c9c8f53787 + .quad 0xfacb2b1338bee7b9 + .quad 0x3025798a9ea8428c + .quad 0x7845b94d21f4774d + .quad 0xbf62f16c7897b727 + .quad 0x671857c03c56522b + .quad 0x3cd6a85295621212 + .quad 0x3fecde923aeca999 + .quad 0xbdaa5b0062e8c12f + .quad 0x67b99dfc96988ade + .quad 0x3f52c02852661036 + + // 2^140 * 7 * B + + .quad 0xffeaa48e2a1351c6 + .quad 0x28624754fa7f53d7 + .quad 0x0b5ba9e57582ddf1 + .quad 0x60c0104ba696ac59 + .quad 0x9258bf99eec416c6 + .quad 0xac8a5017a9d2f671 + .quad 0x629549ab16dea4ab + .quad 0x05d0e85c99091569 + .quad 0x051de020de9cbe97 + .quad 0xfa07fc56b50bcf74 + .quad 0x378cec9f0f11df65 + .quad 0x36853c69ab96de4d + + // 2^140 * 8 * B + + .quad 0x36d9b8de78f39b2d + .quad 0x7f42ed71a847b9ec + .quad 0x241cd1d679bd3fde + .quad 0x6a704fec92fbce6b + .quad 0x4433c0b0fac5e7be + .quad 0x724bae854c08dcbe + .quad 0xf1f24cc446978f9b + .quad 0x4a0aff6d62825fc8 + .quad 0xe917fb9e61095301 + .quad 0xc102df9402a092f8 + .quad 0xbf09e2f5fa66190b + .quad 0x681109bee0dcfe37 + + // 2^144 * 1 * B + + .quad 0x559a0cc9782a0dde + .quad 0x551dcdb2ea718385 + .quad 0x7f62865b31ef238c + .quad 0x504aa7767973613d + .quad 0x9c18fcfa36048d13 + .quad 0x29159db373899ddd + .quad 0xdc9f350b9f92d0aa + .quad 0x26f57eee878a19d4 + .quad 0x0cab2cd55687efb1 + .quad 0x5180d162247af17b + .quad 0x85c15a344f5a2467 + .quad 0x4041943d9dba3069 + + // 2^144 * 2 * B + + .quad 0xc3c0eeba43ebcc96 + .quad 0x8d749c9c26ea9caf + .quad 0xd9fa95ee1c77ccc6 + .quad 0x1420a1d97684340f + .quad 0x4b217743a26caadd + .quad 0x47a6b424648ab7ce + .quad 0xcb1d4f7a03fbc9e3 + .quad 0x12d931429800d019 + .quad 0x00c67799d337594f + .quad 0x5e3c5140b23aa47b + .quad 0x44182854e35ff395 + .quad 0x1b4f92314359a012 + + // 2^144 * 3 * B + + .quad 0x3e5c109d89150951 + .quad 0x39cefa912de9696a + .quad 0x20eae43f975f3020 + .quad 0x239b572a7f132dae + .quad 0x33cf3030a49866b1 + .quad 0x251f73d2215f4859 + .quad 0xab82aa4051def4f6 + .quad 0x5ff191d56f9a23f6 + .quad 0x819ed433ac2d9068 + .quad 0x2883ab795fc98523 + .quad 0xef4572805593eb3d + .quad 0x020c526a758f36cb + + // 2^144 * 4 * B + + .quad 0x779834f89ed8dbbc + .quad 0xc8f2aaf9dc7ca46c + .quad 0xa9524cdca3e1b074 + .quad 0x02aacc4615313877 + .quad 0xe931ef59f042cc89 + .quad 0x2c589c9d8e124bb6 + .quad 0xadc8e18aaec75997 + .quad 0x452cfe0a5602c50c + .quad 0x86a0f7a0647877df + .quad 0xbbc464270e607c9f + .quad 0xab17ea25f1fb11c9 + .quad 0x4cfb7d7b304b877b + + // 2^144 * 5 * B + + .quad 0x72b43d6cb89b75fe + .quad 0x54c694d99c6adc80 + .quad 0xb8c3aa373ee34c9f + .quad 0x14b4622b39075364 + .quad 0xe28699c29789ef12 + .quad 0x2b6ecd71df57190d + .quad 0xc343c857ecc970d0 + .quad 0x5b1d4cbc434d3ac5 + .quad 0xb6fb2615cc0a9f26 + .quad 0x3a4f0e2bb88dcce5 + .quad 0x1301498b3369a705 + .quad 0x2f98f71258592dd1 + + // 2^144 * 6 * B + + .quad 0x0c94a74cb50f9e56 + .quad 0x5b1ff4a98e8e1320 + .quad 0x9a2acc2182300f67 + .quad 0x3a6ae249d806aaf9 + .quad 0x2e12ae444f54a701 + .quad 0xfcfe3ef0a9cbd7de + .quad 0xcebf890d75835de0 + .quad 0x1d8062e9e7614554 + .quad 0x657ada85a9907c5a + .quad 0x1a0ea8b591b90f62 + .quad 0x8d0e1dfbdf34b4e9 + .quad 0x298b8ce8aef25ff3 + + // 2^144 * 7 * B + + .quad 0x2a927953eff70cb2 + .quad 0x4b89c92a79157076 + .quad 0x9418457a30a7cf6a + .quad 0x34b8a8404d5ce485 + .quad 0x837a72ea0a2165de + .quad 0x3fab07b40bcf79f6 + .quad 0x521636c77738ae70 + .quad 0x6ba6271803a7d7dc + .quad 0xc26eecb583693335 + .quad 0xd5a813df63b5fefd + .quad 0xa293aa9aa4b22573 + .quad 0x71d62bdd465e1c6a + + // 2^144 * 8 * B + + .quad 0x6533cc28d378df80 + .quad 0xf6db43790a0fa4b4 + .quad 0xe3645ff9f701da5a + .quad 0x74d5f317f3172ba4 + .quad 0xcd2db5dab1f75ef5 + .quad 0xd77f95cf16b065f5 + .quad 0x14571fea3f49f085 + .quad 0x1c333621262b2b3d + .quad 0xa86fe55467d9ca81 + .quad 0x398b7c752b298c37 + .quad 0xda6d0892e3ac623b + .quad 0x4aebcc4547e9d98c + + // 2^148 * 1 * B + + .quad 0x53175a7205d21a77 + .quad 0xb0c04422d3b934d4 + .quad 0xadd9f24bdd5deadc + .quad 0x074f46e69f10ff8c + .quad 0x0de9b204a059a445 + .quad 0xe15cb4aa4b17ad0f + .quad 0xe1bbec521f79c557 + .quad 0x2633f1b9d071081b + .quad 0xc1fb4177018b9910 + .quad 0xa6ea20dc6c0fe140 + .quad 0xd661f3e74354c6ff + .quad 0x5ecb72e6f1a3407a + + // 2^148 * 2 * B + + .quad 0xa515a31b2259fb4e + .quad 0x0960f3972bcac52f + .quad 0xedb52fec8d3454cb + .quad 0x382e2720c476c019 + .quad 0xfeeae106e8e86997 + .quad 0x9863337f98d09383 + .quad 0x9470480eaa06ebef + .quad 0x038b6898d4c5c2d0 + .quad 0xf391c51d8ace50a6 + .quad 0x3142d0b9ae2d2948 + .quad 0xdb4d5a1a7f24ca80 + .quad 0x21aeba8b59250ea8 + + // 2^148 * 3 * B + + .quad 0x24f13b34cf405530 + .quad 0x3c44ea4a43088af7 + .quad 0x5dd5c5170006a482 + .quad 0x118eb8f8890b086d + .quad 0x53853600f0087f23 + .quad 0x4c461879da7d5784 + .quad 0x6af303deb41f6860 + .quad 0x0a3c16c5c27c18ed + .quad 0x17e49c17cc947f3d + .quad 0xccc6eda6aac1d27b + .quad 0xdf6092ceb0f08e56 + .quad 0x4909b3e22c67c36b + + // 2^148 * 4 * B + + .quad 0x9c9c85ea63fe2e89 + .quad 0xbe1baf910e9412ec + .quad 0x8f7baa8a86fbfe7b + .quad 0x0fb17f9fef968b6c + .quad 0x59a16676706ff64e + .quad 0x10b953dd0d86a53d + .quad 0x5848e1e6ce5c0b96 + .quad 0x2d8b78e712780c68 + .quad 0x79d5c62eafc3902b + .quad 0x773a215289e80728 + .quad 0xc38ae640e10120b9 + .quad 0x09ae23717b2b1a6d + + // 2^148 * 5 * B + + .quad 0xbb6a192a4e4d083c + .quad 0x34ace0630029e192 + .quad 0x98245a59aafabaeb + .quad 0x6d9c8a9ada97faac + .quad 0x10ab8fa1ad32b1d0 + .quad 0xe9aced1be2778b24 + .quad 0xa8856bc0373de90f + .quad 0x66f35ddddda53996 + .quad 0xd27d9afb24997323 + .quad 0x1bb7e07ef6f01d2e + .quad 0x2ba7472df52ecc7f + .quad 0x03019b4f646f9dc8 + + // 2^148 * 6 * B + + .quad 0x04a186b5565345cd + .quad 0xeee76610bcc4116a + .quad 0x689c73b478fb2a45 + .quad 0x387dcbff65697512 + .quad 0xaf09b214e6b3dc6b + .quad 0x3f7573b5ad7d2f65 + .quad 0xd019d988100a23b0 + .quad 0x392b63a58b5c35f7 + .quad 0x4093addc9c07c205 + .quad 0xc565be15f532c37e + .quad 0x63dbecfd1583402a + .quad 0x61722b4aef2e032e + + // 2^148 * 7 * B + + .quad 0x0012aafeecbd47af + .quad 0x55a266fb1cd46309 + .quad 0xf203eb680967c72c + .quad 0x39633944ca3c1429 + .quad 0xd6b07a5581cb0e3c + .quad 0x290ff006d9444969 + .quad 0x08680b6a16dcda1f + .quad 0x5568d2b75a06de59 + .quad 0x8d0cb88c1b37cfe1 + .quad 0x05b6a5a3053818f3 + .quad 0xf2e9bc04b787d959 + .quad 0x6beba1249add7f64 + + // 2^148 * 8 * B + + .quad 0x1d06005ca5b1b143 + .quad 0x6d4c6bb87fd1cda2 + .quad 0x6ef5967653fcffe7 + .quad 0x097c29e8c1ce1ea5 + .quad 0x5c3cecb943f5a53b + .quad 0x9cc9a61d06c08df2 + .quad 0xcfba639a85895447 + .quad 0x5a845ae80df09fd5 + .quad 0x4ce97dbe5deb94ca + .quad 0x38d0a4388c709c48 + .quad 0xc43eced4a169d097 + .quad 0x0a1249fff7e587c3 + + // 2^152 * 1 * B + + .quad 0x12f0071b276d01c9 + .quad 0xe7b8bac586c48c70 + .quad 0x5308129b71d6fba9 + .quad 0x5d88fbf95a3db792 + .quad 0x0b408d9e7354b610 + .quad 0x806b32535ba85b6e + .quad 0xdbe63a034a58a207 + .quad 0x173bd9ddc9a1df2c + .quad 0x2b500f1efe5872df + .quad 0x58d6582ed43918c1 + .quad 0xe6ed278ec9673ae0 + .quad 0x06e1cd13b19ea319 + + // 2^152 * 2 * B + + .quad 0x40d0ad516f166f23 + .quad 0x118e32931fab6abe + .quad 0x3fe35e14a04d088e + .quad 0x3080603526e16266 + .quad 0x472baf629e5b0353 + .quad 0x3baa0b90278d0447 + .quad 0x0c785f469643bf27 + .quad 0x7f3a6a1a8d837b13 + .quad 0xf7e644395d3d800b + .quad 0x95a8d555c901edf6 + .quad 0x68cd7830592c6339 + .quad 0x30d0fded2e51307e + + // 2^152 * 3 * B + + .quad 0xe0594d1af21233b3 + .quad 0x1bdbe78ef0cc4d9c + .quad 0x6965187f8f499a77 + .quad 0x0a9214202c099868 + .quad 0x9cb4971e68b84750 + .quad 0xa09572296664bbcf + .quad 0x5c8de72672fa412b + .quad 0x4615084351c589d9 + .quad 0xbc9019c0aeb9a02e + .quad 0x55c7110d16034cae + .quad 0x0e6df501659932ec + .quad 0x3bca0d2895ca5dfe + + // 2^152 * 4 * B + + .quad 0x40f031bc3c5d62a4 + .quad 0x19fc8b3ecff07a60 + .quad 0x98183da2130fb545 + .quad 0x5631deddae8f13cd + .quad 0x9c688eb69ecc01bf + .quad 0xf0bc83ada644896f + .quad 0xca2d955f5f7a9fe2 + .quad 0x4ea8b4038df28241 + .quad 0x2aed460af1cad202 + .quad 0x46305305a48cee83 + .quad 0x9121774549f11a5f + .quad 0x24ce0930542ca463 + + // 2^152 * 5 * B + + .quad 0x1fe890f5fd06c106 + .quad 0xb5c468355d8810f2 + .quad 0x827808fe6e8caf3e + .quad 0x41d4e3c28a06d74b + .quad 0x3fcfa155fdf30b85 + .quad 0xd2f7168e36372ea4 + .quad 0xb2e064de6492f844 + .quad 0x549928a7324f4280 + .quad 0xf26e32a763ee1a2e + .quad 0xae91e4b7d25ffdea + .quad 0xbc3bd33bd17f4d69 + .quad 0x491b66dec0dcff6a + + // 2^152 * 6 * B + + .quad 0x98f5b13dc7ea32a7 + .quad 0xe3d5f8cc7e16db98 + .quad 0xac0abf52cbf8d947 + .quad 0x08f338d0c85ee4ac + .quad 0x75f04a8ed0da64a1 + .quad 0xed222caf67e2284b + .quad 0x8234a3791f7b7ba4 + .quad 0x4cf6b8b0b7018b67 + .quad 0xc383a821991a73bd + .quad 0xab27bc01df320c7a + .quad 0xc13d331b84777063 + .quad 0x530d4a82eb078a99 + + // 2^152 * 7 * B + + .quad 0x004c3630e1f94825 + .quad 0x7e2d78268cab535a + .quad 0xc7482323cc84ff8b + .quad 0x65ea753f101770b9 + .quad 0x6d6973456c9abf9e + .quad 0x257fb2fc4900a880 + .quad 0x2bacf412c8cfb850 + .quad 0x0db3e7e00cbfbd5b + .quad 0x3d66fc3ee2096363 + .quad 0x81d62c7f61b5cb6b + .quad 0x0fbe044213443b1a + .quad 0x02a4ec1921e1a1db + + // 2^152 * 8 * B + + .quad 0x5ce6259a3b24b8a2 + .quad 0xb8577acc45afa0b8 + .quad 0xcccbe6e88ba07037 + .quad 0x3d143c51127809bf + .quad 0xf5c86162f1cf795f + .quad 0x118c861926ee57f2 + .quad 0x172124851c063578 + .quad 0x36d12b5dec067fcf + .quad 0x126d279179154557 + .quad 0xd5e48f5cfc783a0a + .quad 0x36bdb6e8df179bac + .quad 0x2ef517885ba82859 + + // 2^156 * 1 * B + + .quad 0x88bd438cd11e0d4a + .quad 0x30cb610d43ccf308 + .quad 0xe09a0e3791937bcc + .quad 0x4559135b25b1720c + .quad 0x1ea436837c6da1e9 + .quad 0xf9c189af1fb9bdbe + .quad 0x303001fcce5dd155 + .quad 0x28a7c99ebc57be52 + .quad 0xb8fd9399e8d19e9d + .quad 0x908191cb962423ff + .quad 0xb2b948d747c742a3 + .quad 0x37f33226d7fb44c4 + + // 2^156 * 2 * B + + .quad 0x0dae8767b55f6e08 + .quad 0x4a43b3b35b203a02 + .quad 0xe3725a6e80af8c79 + .quad 0x0f7a7fd1705fa7a3 + .quad 0x33912553c821b11d + .quad 0x66ed42c241e301df + .quad 0x066fcc11104222fd + .quad 0x307a3b41c192168f + .quad 0x8eeb5d076eb55ce0 + .quad 0x2fc536bfaa0d925a + .quad 0xbe81830fdcb6c6e8 + .quad 0x556c7045827baf52 + + // 2^156 * 3 * B + + .quad 0x8e2b517302e9d8b7 + .quad 0xe3e52269248714e8 + .quad 0xbd4fbd774ca960b5 + .quad 0x6f4b4199c5ecada9 + .quad 0xb94b90022bf44406 + .quad 0xabd4237eff90b534 + .quad 0x7600a960faf86d3a + .quad 0x2f45abdac2322ee3 + .quad 0x61af4912c8ef8a6a + .quad 0xe58fa4fe43fb6e5e + .quad 0xb5afcc5d6fd427cf + .quad 0x6a5393281e1e11eb + + // 2^156 * 4 * B + + .quad 0xf3da5139a5d1ee89 + .quad 0x8145457cff936988 + .quad 0x3f622fed00e188c4 + .quad 0x0f513815db8b5a3d + .quad 0x0fff04fe149443cf + .quad 0x53cac6d9865cddd7 + .quad 0x31385b03531ed1b7 + .quad 0x5846a27cacd1039d + .quad 0x4ff5cdac1eb08717 + .quad 0x67e8b29590f2e9bc + .quad 0x44093b5e237afa99 + .quad 0x0d414bed8708b8b2 + + // 2^156 * 5 * B + + .quad 0xcfb68265fd0e75f6 + .quad 0xe45b3e28bb90e707 + .quad 0x7242a8de9ff92c7a + .quad 0x685b3201933202dd + .quad 0x81886a92294ac9e8 + .quad 0x23162b45d55547be + .quad 0x94cfbc4403715983 + .quad 0x50eb8fdb134bc401 + .quad 0xc0b73ec6d6b330cd + .quad 0x84e44807132faff1 + .quad 0x732b7352c4a5dee1 + .quad 0x5d7c7cf1aa7cd2d2 + + // 2^156 * 6 * B + + .quad 0xaf3b46bf7a4aafa2 + .quad 0xb78705ec4d40d411 + .quad 0x114f0c6aca7c15e3 + .quad 0x3f364faaa9489d4d + .quad 0x33d1013e9b73a562 + .quad 0x925cef5748ec26e1 + .quad 0xa7fce614dd468058 + .quad 0x78b0fad41e9aa438 + .quad 0xbf56a431ed05b488 + .quad 0xa533e66c9c495c7e + .quad 0xe8652baf87f3651a + .quad 0x0241800059d66c33 + + // 2^156 * 7 * B + + .quad 0xceb077fea37a5be4 + .quad 0xdb642f02e5a5eeb7 + .quad 0xc2e6d0c5471270b8 + .quad 0x4771b65538e4529c + .quad 0x28350c7dcf38ea01 + .quad 0x7c6cdbc0b2917ab6 + .quad 0xace7cfbe857082f7 + .quad 0x4d2845aba2d9a1e0 + .quad 0xbb537fe0447070de + .quad 0xcba744436dd557df + .quad 0xd3b5a3473600dbcb + .quad 0x4aeabbe6f9ffd7f8 + + // 2^156 * 8 * B + + .quad 0x4630119e40d8f78c + .quad 0xa01a9bc53c710e11 + .quad 0x486d2b258910dd79 + .quad 0x1e6c47b3db0324e5 + .quad 0x6a2134bcc4a9c8f2 + .quad 0xfbf8fd1c8ace2e37 + .quad 0x000ae3049911a0ba + .quad 0x046e3a616bc89b9e + .quad 0x14e65442f03906be + .quad 0x4a019d54e362be2a + .quad 0x68ccdfec8dc230c7 + .quad 0x7cfb7e3faf6b861c + + // 2^160 * 1 * B + + .quad 0x4637974e8c58aedc + .quad 0xb9ef22fbabf041a4 + .quad 0xe185d956e980718a + .quad 0x2f1b78fab143a8a6 + .quad 0x96eebffb305b2f51 + .quad 0xd3f938ad889596b8 + .quad 0xf0f52dc746d5dd25 + .quad 0x57968290bb3a0095 + .quad 0xf71ab8430a20e101 + .quad 0xf393658d24f0ec47 + .quad 0xcf7509a86ee2eed1 + .quad 0x7dc43e35dc2aa3e1 + + // 2^160 * 2 * B + + .quad 0x85966665887dd9c3 + .quad 0xc90f9b314bb05355 + .quad 0xc6e08df8ef2079b1 + .quad 0x7ef72016758cc12f + .quad 0x5a782a5c273e9718 + .quad 0x3576c6995e4efd94 + .quad 0x0f2ed8051f237d3e + .quad 0x044fb81d82d50a99 + .quad 0xc1df18c5a907e3d9 + .quad 0x57b3371dce4c6359 + .quad 0xca704534b201bb49 + .quad 0x7f79823f9c30dd2e + + // 2^160 * 3 * B + + .quad 0x8334d239a3b513e8 + .quad 0xc13670d4b91fa8d8 + .quad 0x12b54136f590bd33 + .quad 0x0a4e0373d784d9b4 + .quad 0x6a9c1ff068f587ba + .quad 0x0827894e0050c8de + .quad 0x3cbf99557ded5be7 + .quad 0x64a9b0431c06d6f0 + .quad 0x2eb3d6a15b7d2919 + .quad 0xb0b4f6a0d53a8235 + .quad 0x7156ce4389a45d47 + .quad 0x071a7d0ace18346c + + // 2^160 * 4 * B + + .quad 0xd3072daac887ba0b + .quad 0x01262905bfa562ee + .quad 0xcf543002c0ef768b + .quad 0x2c3bcc7146ea7e9c + .quad 0xcc0c355220e14431 + .quad 0x0d65950709b15141 + .quad 0x9af5621b209d5f36 + .quad 0x7c69bcf7617755d3 + .quad 0x07f0d7eb04e8295f + .quad 0x10db18252f50f37d + .quad 0xe951a9a3171798d7 + .quad 0x6f5a9a7322aca51d + + // 2^160 * 5 * B + + .quad 0x8ba1000c2f41c6c5 + .quad 0xc49f79c10cfefb9b + .quad 0x4efa47703cc51c9f + .quad 0x494e21a2e147afca + .quad 0xe729d4eba3d944be + .quad 0x8d9e09408078af9e + .quad 0x4525567a47869c03 + .quad 0x02ab9680ee8d3b24 + .quad 0xefa48a85dde50d9a + .quad 0x219a224e0fb9a249 + .quad 0xfa091f1dd91ef6d9 + .quad 0x6b5d76cbea46bb34 + + // 2^160 * 6 * B + + .quad 0x8857556cec0cd994 + .quad 0x6472dc6f5cd01dba + .quad 0xaf0169148f42b477 + .quad 0x0ae333f685277354 + .quad 0xe0f941171e782522 + .quad 0xf1e6ae74036936d3 + .quad 0x408b3ea2d0fcc746 + .quad 0x16fb869c03dd313e + .quad 0x288e199733b60962 + .quad 0x24fc72b4d8abe133 + .quad 0x4811f7ed0991d03e + .quad 0x3f81e38b8f70d075 + + // 2^160 * 7 * B + + .quad 0x7f910fcc7ed9affe + .quad 0x545cb8a12465874b + .quad 0xa8397ed24b0c4704 + .quad 0x50510fc104f50993 + .quad 0x0adb7f355f17c824 + .quad 0x74b923c3d74299a4 + .quad 0xd57c3e8bcbf8eaf7 + .quad 0x0ad3e2d34cdedc3d + .quad 0x6f0c0fc5336e249d + .quad 0x745ede19c331cfd9 + .quad 0xf2d6fd0009eefe1c + .quad 0x127c158bf0fa1ebe + + // 2^160 * 8 * B + + .quad 0xf6197c422e9879a2 + .quad 0xa44addd452ca3647 + .quad 0x9b413fc14b4eaccb + .quad 0x354ef87d07ef4f68 + .quad 0xdea28fc4ae51b974 + .quad 0x1d9973d3744dfe96 + .quad 0x6240680b873848a8 + .quad 0x4ed82479d167df95 + .quad 0xfee3b52260c5d975 + .quad 0x50352efceb41b0b8 + .quad 0x8808ac30a9f6653c + .quad 0x302d92d20539236d + + // 2^164 * 1 * B + + .quad 0x4c59023fcb3efb7c + .quad 0x6c2fcb99c63c2a94 + .quad 0xba4190e2c3c7e084 + .quad 0x0e545daea51874d9 + .quad 0x957b8b8b0df53c30 + .quad 0x2a1c770a8e60f098 + .quad 0xbbc7a670345796de + .quad 0x22a48f9a90c99bc9 + .quad 0x6b7dc0dc8d3fac58 + .quad 0x5497cd6ce6e42bfd + .quad 0x542f7d1bf400d305 + .quad 0x4159f47f048d9136 + + // 2^164 * 2 * B + + .quad 0x20ad660839e31e32 + .quad 0xf81e1bd58405be50 + .quad 0xf8064056f4dabc69 + .quad 0x14d23dd4ce71b975 + .quad 0x748515a8bbd24839 + .quad 0x77128347afb02b55 + .quad 0x50ba2ac649a2a17f + .quad 0x060525513ad730f1 + .quad 0xf2398e098aa27f82 + .quad 0x6d7982bb89a1b024 + .quad 0xfa694084214dd24c + .quad 0x71ab966fa32301c3 + + // 2^164 * 3 * B + + .quad 0x2dcbd8e34ded02fc + .quad 0x1151f3ec596f22aa + .quad 0xbca255434e0328da + .quad 0x35768fbe92411b22 + .quad 0xb1088a0702809955 + .quad 0x43b273ea0b43c391 + .quad 0xca9b67aefe0686ed + .quad 0x605eecbf8335f4ed + .quad 0x83200a656c340431 + .quad 0x9fcd71678ee59c2f + .quad 0x75d4613f71300f8a + .quad 0x7a912faf60f542f9 + + // 2^164 * 4 * B + + .quad 0xb204585e5edc1a43 + .quad 0x9f0e16ee5897c73c + .quad 0x5b82c0ae4e70483c + .quad 0x624a170e2bddf9be + .quad 0x253f4f8dfa2d5597 + .quad 0x25e49c405477130c + .quad 0x00c052e5996b1102 + .quad 0x33cb966e33bb6c4a + .quad 0x597028047f116909 + .quad 0x828ac41c1e564467 + .quad 0x70417dbde6217387 + .quad 0x721627aefbac4384 + + // 2^164 * 5 * B + + .quad 0x97d03bc38736add5 + .quad 0x2f1422afc532b130 + .quad 0x3aa68a057101bbc4 + .quad 0x4c946cf7e74f9fa7 + .quad 0xfd3097bc410b2f22 + .quad 0xf1a05da7b5cfa844 + .quad 0x61289a1def57ca74 + .quad 0x245ea199bb821902 + .quad 0xaedca66978d477f8 + .quad 0x1898ba3c29117fe1 + .quad 0xcf73f983720cbd58 + .quad 0x67da12e6b8b56351 + + // 2^164 * 6 * B + + .quad 0x7067e187b4bd6e07 + .quad 0x6e8f0203c7d1fe74 + .quad 0x93c6aa2f38c85a30 + .quad 0x76297d1f3d75a78a + .quad 0x2b7ef3d38ec8308c + .quad 0x828fd7ec71eb94ab + .quad 0x807c3b36c5062abd + .quad 0x0cb64cb831a94141 + .quad 0x3030fc33534c6378 + .quad 0xb9635c5ce541e861 + .quad 0x15d9a9bed9b2c728 + .quad 0x49233ea3f3775dcb + + // 2^164 * 7 * B + + .quad 0x629398fa8dbffc3a + .quad 0xe12fe52dd54db455 + .quad 0xf3be11dfdaf25295 + .quad 0x628b140dce5e7b51 + .quad 0x7b3985fe1c9f249b + .quad 0x4fd6b2d5a1233293 + .quad 0xceb345941adf4d62 + .quad 0x6987ff6f542de50c + .quad 0x47e241428f83753c + .quad 0x6317bebc866af997 + .quad 0xdabb5b433d1a9829 + .quad 0x074d8d245287fb2d + + // 2^164 * 8 * B + + .quad 0x8337d9cd440bfc31 + .quad 0x729d2ca1af318fd7 + .quad 0xa040a4a4772c2070 + .quad 0x46002ef03a7349be + .quad 0x481875c6c0e31488 + .quad 0x219429b2e22034b4 + .quad 0x7223c98a31283b65 + .quad 0x3420d60b342277f9 + .quad 0xfaa23adeaffe65f7 + .quad 0x78261ed45be0764c + .quad 0x441c0a1e2f164403 + .quad 0x5aea8e567a87d395 + + // 2^168 * 1 * B + + .quad 0x7813c1a2bca4283d + .quad 0xed62f091a1863dd9 + .quad 0xaec7bcb8c268fa86 + .quad 0x10e5d3b76f1cae4c + .quad 0x2dbc6fb6e4e0f177 + .quad 0x04e1bf29a4bd6a93 + .quad 0x5e1966d4787af6e8 + .quad 0x0edc5f5eb426d060 + .quad 0x5453bfd653da8e67 + .quad 0xe9dc1eec24a9f641 + .quad 0xbf87263b03578a23 + .quad 0x45b46c51361cba72 + + // 2^168 * 2 * B + + .quad 0xa9402abf314f7fa1 + .quad 0xe257f1dc8e8cf450 + .quad 0x1dbbd54b23a8be84 + .quad 0x2177bfa36dcb713b + .quad 0xce9d4ddd8a7fe3e4 + .quad 0xab13645676620e30 + .quad 0x4b594f7bb30e9958 + .quad 0x5c1c0aef321229df + .quad 0x37081bbcfa79db8f + .quad 0x6048811ec25f59b3 + .quad 0x087a76659c832487 + .quad 0x4ae619387d8ab5bb + + // 2^168 * 3 * B + + .quad 0x8ddbf6aa5344a32e + .quad 0x7d88eab4b41b4078 + .quad 0x5eb0eb974a130d60 + .quad 0x1a00d91b17bf3e03 + .quad 0x61117e44985bfb83 + .quad 0xfce0462a71963136 + .quad 0x83ac3448d425904b + .quad 0x75685abe5ba43d64 + .quad 0x6e960933eb61f2b2 + .quad 0x543d0fa8c9ff4952 + .quad 0xdf7275107af66569 + .quad 0x135529b623b0e6aa + + // 2^168 * 4 * B + + .quad 0x18f0dbd7add1d518 + .quad 0x979f7888cfc11f11 + .quad 0x8732e1f07114759b + .quad 0x79b5b81a65ca3a01 + .quad 0xf5c716bce22e83fe + .quad 0xb42beb19e80985c1 + .quad 0xec9da63714254aae + .quad 0x5972ea051590a613 + .quad 0x0fd4ac20dc8f7811 + .quad 0x9a9ad294ac4d4fa8 + .quad 0xc01b2d64b3360434 + .quad 0x4f7e9c95905f3bdb + + // 2^168 * 5 * B + + .quad 0x62674bbc5781302e + .quad 0xd8520f3989addc0f + .quad 0x8c2999ae53fbd9c6 + .quad 0x31993ad92e638e4c + .quad 0x71c8443d355299fe + .quad 0x8bcd3b1cdbebead7 + .quad 0x8092499ef1a49466 + .quad 0x1942eec4a144adc8 + .quad 0x7dac5319ae234992 + .quad 0x2c1b3d910cea3e92 + .quad 0x553ce494253c1122 + .quad 0x2a0a65314ef9ca75 + + // 2^168 * 6 * B + + .quad 0x2db7937ff7f927c2 + .quad 0xdb741f0617d0a635 + .quad 0x5982f3a21155af76 + .quad 0x4cf6e218647c2ded + .quad 0xcf361acd3c1c793a + .quad 0x2f9ebcac5a35bc3b + .quad 0x60e860e9a8cda6ab + .quad 0x055dc39b6dea1a13 + .quad 0xb119227cc28d5bb6 + .quad 0x07e24ebc774dffab + .quad 0xa83c78cee4a32c89 + .quad 0x121a307710aa24b6 + + // 2^168 * 7 * B + + .quad 0xe4db5d5e9f034a97 + .quad 0xe153fc093034bc2d + .quad 0x460546919551d3b1 + .quad 0x333fc76c7a40e52d + .quad 0xd659713ec77483c9 + .quad 0x88bfe077b82b96af + .quad 0x289e28231097bcd3 + .quad 0x527bb94a6ced3a9b + .quad 0x563d992a995b482e + .quad 0x3405d07c6e383801 + .quad 0x485035de2f64d8e5 + .quad 0x6b89069b20a7a9f7 + + // 2^168 * 8 * B + + .quad 0x812aa0416270220d + .quad 0x995a89faf9245b4e + .quad 0xffadc4ce5072ef05 + .quad 0x23bc2103aa73eb73 + .quad 0x4082fa8cb5c7db77 + .quad 0x068686f8c734c155 + .quad 0x29e6c8d9f6e7a57e + .quad 0x0473d308a7639bcf + .quad 0xcaee792603589e05 + .quad 0x2b4b421246dcc492 + .quad 0x02a1ef74e601a94f + .quad 0x102f73bfde04341a + + // 2^172 * 1 * B + + .quad 0xb5a2d50c7ec20d3e + .quad 0xc64bdd6ea0c97263 + .quad 0x56e89052c1ff734d + .quad 0x4929c6f72b2ffaba + .quad 0x358ecba293a36247 + .quad 0xaf8f9862b268fd65 + .quad 0x412f7e9968a01c89 + .quad 0x5786f312cd754524 + .quad 0x337788ffca14032c + .quad 0xf3921028447f1ee3 + .quad 0x8b14071f231bccad + .quad 0x4c817b4bf2344783 + + // 2^172 * 2 * B + + .quad 0x0ff853852871b96e + .quad 0xe13e9fab60c3f1bb + .quad 0xeefd595325344402 + .quad 0x0a37c37075b7744b + .quad 0x413ba057a40b4484 + .quad 0xba4c2e1a4f5f6a43 + .quad 0x614ba0a5aee1d61c + .quad 0x78a1531a8b05dc53 + .quad 0x6cbdf1703ad0562b + .quad 0x8ecf4830c92521a3 + .quad 0xdaebd303fd8424e7 + .quad 0x72ad82a42e5ec56f + + // 2^172 * 3 * B + + .quad 0x3f9e8e35bafb65f6 + .quad 0x39d69ec8f27293a1 + .quad 0x6cb8cd958cf6a3d0 + .quad 0x1734778173adae6d + .quad 0xc368939167024bc3 + .quad 0x8e69d16d49502fda + .quad 0xfcf2ec3ce45f4b29 + .quad 0x065f669ea3b4cbc4 + .quad 0x8a00aec75532db4d + .quad 0xb869a4e443e31bb1 + .quad 0x4a0f8552d3a7f515 + .quad 0x19adeb7c303d7c08 + + // 2^172 * 4 * B + + .quad 0xc720cb6153ead9a3 + .quad 0x55b2c97f512b636e + .quad 0xb1e35b5fd40290b1 + .quad 0x2fd9ccf13b530ee2 + .quad 0x9d05ba7d43c31794 + .quad 0x2470c8ff93322526 + .quad 0x8323dec816197438 + .quad 0x2852709881569b53 + .quad 0x07bd475b47f796b8 + .quad 0xd2c7b013542c8f54 + .quad 0x2dbd23f43b24f87e + .quad 0x6551afd77b0901d6 + + // 2^172 * 5 * B + + .quad 0x4546baaf54aac27f + .quad 0xf6f66fecb2a45a28 + .quad 0x582d1b5b562bcfe8 + .quad 0x44b123f3920f785f + .quad 0x68a24ce3a1d5c9ac + .quad 0xbb77a33d10ff6461 + .quad 0x0f86ce4425d3166e + .quad 0x56507c0950b9623b + .quad 0x1206f0b7d1713e63 + .quad 0x353fe3d915bafc74 + .quad 0x194ceb970ad9d94d + .quad 0x62fadd7cf9d03ad3 + + // 2^172 * 6 * B + + .quad 0xc6b5967b5598a074 + .quad 0x5efe91ce8e493e25 + .quad 0xd4b72c4549280888 + .quad 0x20ef1149a26740c2 + .quad 0x3cd7bc61e7ce4594 + .quad 0xcd6b35a9b7dd267e + .quad 0xa080abc84366ef27 + .quad 0x6ec7c46f59c79711 + .quad 0x2f07ad636f09a8a2 + .quad 0x8697e6ce24205e7d + .quad 0xc0aefc05ee35a139 + .quad 0x15e80958b5f9d897 + + // 2^172 * 7 * B + + .quad 0x25a5ef7d0c3e235b + .quad 0x6c39c17fbe134ee7 + .quad 0xc774e1342dc5c327 + .quad 0x021354b892021f39 + .quad 0x4dd1ed355bb061c4 + .quad 0x42dc0cef941c0700 + .quad 0x61305dc1fd86340e + .quad 0x56b2cc930e55a443 + .quad 0x1df79da6a6bfc5a2 + .quad 0x02f3a2749fde4369 + .quad 0xb323d9f2cda390a7 + .quad 0x7be0847b8774d363 + + // 2^172 * 8 * B + + .quad 0x8c99cc5a8b3f55c3 + .quad 0x0611d7253fded2a0 + .quad 0xed2995ff36b70a36 + .quad 0x1f699a54d78a2619 + .quad 0x1466f5af5307fa11 + .quad 0x817fcc7ded6c0af2 + .quad 0x0a6de44ec3a4a3fb + .quad 0x74071475bc927d0b + .quad 0xe77292f373e7ea8a + .quad 0x296537d2cb045a31 + .quad 0x1bd0653ed3274fde + .quad 0x2f9a2c4476bd2966 + + // 2^176 * 1 * B + + .quad 0xeb18b9ab7f5745c6 + .quad 0x023a8aee5787c690 + .quad 0xb72712da2df7afa9 + .quad 0x36597d25ea5c013d + .quad 0xa2b4dae0b5511c9a + .quad 0x7ac860292bffff06 + .quad 0x981f375df5504234 + .quad 0x3f6bd725da4ea12d + .quad 0x734d8d7b106058ac + .quad 0xd940579e6fc6905f + .quad 0x6466f8f99202932d + .quad 0x7b7ecc19da60d6d0 + + // 2^176 * 2 * B + + .quad 0x78c2373c695c690d + .quad 0xdd252e660642906e + .quad 0x951d44444ae12bd2 + .quad 0x4235ad7601743956 + .quad 0x6dae4a51a77cfa9b + .quad 0x82263654e7a38650 + .quad 0x09bbffcd8f2d82db + .quad 0x03bedc661bf5caba + .quad 0x6258cb0d078975f5 + .quad 0x492942549189f298 + .quad 0xa0cab423e2e36ee4 + .quad 0x0e7ce2b0cdf066a1 + + // 2^176 * 3 * B + + .quad 0xc494643ac48c85a3 + .quad 0xfd361df43c6139ad + .quad 0x09db17dd3ae94d48 + .quad 0x666e0a5d8fb4674a + .quad 0xfea6fedfd94b70f9 + .quad 0xf130c051c1fcba2d + .quad 0x4882d47e7f2fab89 + .quad 0x615256138aeceeb5 + .quad 0x2abbf64e4870cb0d + .quad 0xcd65bcf0aa458b6b + .quad 0x9abe4eba75e8985d + .quad 0x7f0bc810d514dee4 + + // 2^176 * 4 * B + + .quad 0xb9006ba426f4136f + .quad 0x8d67369e57e03035 + .quad 0xcbc8dfd94f463c28 + .quad 0x0d1f8dbcf8eedbf5 + .quad 0x83ac9dad737213a0 + .quad 0x9ff6f8ba2ef72e98 + .quad 0x311e2edd43ec6957 + .quad 0x1d3a907ddec5ab75 + .quad 0xba1693313ed081dc + .quad 0x29329fad851b3480 + .quad 0x0128013c030321cb + .quad 0x00011b44a31bfde3 + + // 2^176 * 5 * B + + .quad 0x3fdfa06c3fc66c0c + .quad 0x5d40e38e4dd60dd2 + .quad 0x7ae38b38268e4d71 + .quad 0x3ac48d916e8357e1 + .quad 0x16561f696a0aa75c + .quad 0xc1bf725c5852bd6a + .quad 0x11a8dd7f9a7966ad + .quad 0x63d988a2d2851026 + .quad 0x00120753afbd232e + .quad 0xe92bceb8fdd8f683 + .quad 0xf81669b384e72b91 + .quad 0x33fad52b2368a066 + + // 2^176 * 6 * B + + .quad 0x540649c6c5e41e16 + .quad 0x0af86430333f7735 + .quad 0xb2acfcd2f305e746 + .quad 0x16c0f429a256dca7 + .quad 0x8d2cc8d0c422cfe8 + .quad 0x072b4f7b05a13acb + .quad 0xa3feb6e6ecf6a56f + .quad 0x3cc355ccb90a71e2 + .quad 0xe9b69443903e9131 + .quad 0xb8a494cb7a5637ce + .quad 0xc87cd1a4baba9244 + .quad 0x631eaf426bae7568 + + // 2^176 * 7 * B + + .quad 0xb3e90410da66fe9f + .quad 0x85dd4b526c16e5a6 + .quad 0xbc3d97611ef9bf83 + .quad 0x5599648b1ea919b5 + .quad 0x47d975b9a3700de8 + .quad 0x7280c5fbe2f80552 + .quad 0x53658f2732e45de1 + .quad 0x431f2c7f665f80b5 + .quad 0xd6026344858f7b19 + .quad 0x14ab352fa1ea514a + .quad 0x8900441a2090a9d7 + .quad 0x7b04715f91253b26 + + // 2^176 * 8 * B + + .quad 0x83edbd28acf6ae43 + .quad 0x86357c8b7d5c7ab4 + .quad 0xc0404769b7eb2c44 + .quad 0x59b37bf5c2f6583f + .quad 0xb376c280c4e6bac6 + .quad 0x970ed3dd6d1d9b0b + .quad 0xb09a9558450bf944 + .quad 0x48d0acfa57cde223 + .quad 0xb60f26e47dabe671 + .quad 0xf1d1a197622f3a37 + .quad 0x4208ce7ee9960394 + .quad 0x16234191336d3bdb + + // 2^180 * 1 * B + + .quad 0xf19aeac733a63aef + .quad 0x2c7fba5d4442454e + .quad 0x5da87aa04795e441 + .quad 0x413051e1a4e0b0f5 + .quad 0x852dd1fd3d578bbe + .quad 0x2b65ce72c3286108 + .quad 0x658c07f4eace2273 + .quad 0x0933f804ec38ab40 + .quad 0xa7ab69798d496476 + .quad 0x8121aadefcb5abc8 + .quad 0xa5dc12ef7b539472 + .quad 0x07fd47065e45351a + + // 2^180 * 2 * B + + .quad 0xc8583c3d258d2bcd + .quad 0x17029a4daf60b73f + .quad 0xfa0fc9d6416a3781 + .quad 0x1c1e5fba38b3fb23 + .quad 0x304211559ae8e7c3 + .quad 0xf281b229944882a5 + .quad 0x8a13ac2e378250e4 + .quad 0x014afa0954ba48f4 + .quad 0xcb3197001bb3666c + .quad 0x330060524bffecb9 + .quad 0x293711991a88233c + .quad 0x291884363d4ed364 + + // 2^180 * 3 * B + + .quad 0x033c6805dc4babfa + .quad 0x2c15bf5e5596ecc1 + .quad 0x1bc70624b59b1d3b + .quad 0x3ede9850a19f0ec5 + .quad 0xfb9d37c3bc1ab6eb + .quad 0x02be14534d57a240 + .quad 0xf4d73415f8a5e1f6 + .quad 0x5964f4300ccc8188 + .quad 0xe44a23152d096800 + .quad 0x5c08c55970866996 + .quad 0xdf2db60a46affb6e + .quad 0x579155c1f856fd89 + + // 2^180 * 4 * B + + .quad 0x96324edd12e0c9ef + .quad 0x468b878df2420297 + .quad 0x199a3776a4f573be + .quad 0x1e7fbcf18e91e92a + .quad 0xb5f16b630817e7a6 + .quad 0x808c69233c351026 + .quad 0x324a983b54cef201 + .quad 0x53c092084a485345 + .quad 0xd2d41481f1cbafbf + .quad 0x231d2db6716174e5 + .quad 0x0b7d7656e2a55c98 + .quad 0x3e955cd82aa495f6 + + // 2^180 * 5 * B + + .quad 0xe48f535e3ed15433 + .quad 0xd075692a0d7270a3 + .quad 0x40fbd21daade6387 + .quad 0x14264887cf4495f5 + .quad 0xab39f3ef61bb3a3f + .quad 0x8eb400652eb9193e + .quad 0xb5de6ecc38c11f74 + .quad 0x654d7e9626f3c49f + .quad 0xe564cfdd5c7d2ceb + .quad 0x82eeafded737ccb9 + .quad 0x6107db62d1f9b0ab + .quad 0x0b6baac3b4358dbb + + // 2^180 * 6 * B + + .quad 0x7ae62bcb8622fe98 + .quad 0x47762256ceb891af + .quad 0x1a5a92bcf2e406b4 + .quad 0x7d29401784e41501 + .quad 0x204abad63700a93b + .quad 0xbe0023d3da779373 + .quad 0xd85f0346633ab709 + .quad 0x00496dc490820412 + .quad 0x1c74b88dc27e6360 + .quad 0x074854268d14850c + .quad 0xa145fb7b3e0dcb30 + .quad 0x10843f1b43803b23 + + // 2^180 * 7 * B + + .quad 0xc5f90455376276dd + .quad 0xce59158dd7645cd9 + .quad 0x92f65d511d366b39 + .quad 0x11574b6e526996c4 + .quad 0xd56f672de324689b + .quad 0xd1da8aedb394a981 + .quad 0xdd7b58fe9168cfed + .quad 0x7ce246cd4d56c1e8 + .quad 0xb8f4308e7f80be53 + .quad 0x5f3cb8cb34a9d397 + .quad 0x18a961bd33cc2b2c + .quad 0x710045fb3a9af671 + + // 2^180 * 8 * B + + .quad 0x73f93d36101b95eb + .quad 0xfaef33794f6f4486 + .quad 0x5651735f8f15e562 + .quad 0x7fa3f19058b40da1 + .quad 0xa03fc862059d699e + .quad 0x2370cfa19a619e69 + .quad 0xc4fe3b122f823deb + .quad 0x1d1b056fa7f0844e + .quad 0x1bc64631e56bf61f + .quad 0xd379ab106e5382a3 + .quad 0x4d58c57e0540168d + .quad 0x566256628442d8e4 + + // 2^184 * 1 * B + + .quad 0xb9e499def6267ff6 + .quad 0x7772ca7b742c0843 + .quad 0x23a0153fe9a4f2b1 + .quad 0x2cdfdfecd5d05006 + .quad 0xdd499cd61ff38640 + .quad 0x29cd9bc3063625a0 + .quad 0x51e2d8023dd73dc3 + .quad 0x4a25707a203b9231 + .quad 0x2ab7668a53f6ed6a + .quad 0x304242581dd170a1 + .quad 0x4000144c3ae20161 + .quad 0x5721896d248e49fc + + // 2^184 * 2 * B + + .quad 0x0b6e5517fd181bae + .quad 0x9022629f2bb963b4 + .quad 0x5509bce932064625 + .quad 0x578edd74f63c13da + .quad 0x285d5091a1d0da4e + .quad 0x4baa6fa7b5fe3e08 + .quad 0x63e5177ce19393b3 + .quad 0x03c935afc4b030fd + .quad 0x997276c6492b0c3d + .quad 0x47ccc2c4dfe205fc + .quad 0xdcd29b84dd623a3c + .quad 0x3ec2ab590288c7a2 + + // 2^184 * 3 * B + + .quad 0xa1a0d27be4d87bb9 + .quad 0xa98b4deb61391aed + .quad 0x99a0ddd073cb9b83 + .quad 0x2dd5c25a200fcace + .quad 0xa7213a09ae32d1cb + .quad 0x0f2b87df40f5c2d5 + .quad 0x0baea4c6e81eab29 + .quad 0x0e1bf66c6adbac5e + .quad 0xe2abd5e9792c887e + .quad 0x1a020018cb926d5d + .quad 0xbfba69cdbaae5f1e + .quad 0x730548b35ae88f5f + + // 2^184 * 4 * B + + .quad 0xc43551a3cba8b8ee + .quad 0x65a26f1db2115f16 + .quad 0x760f4f52ab8c3850 + .quad 0x3043443b411db8ca + .quad 0x805b094ba1d6e334 + .quad 0xbf3ef17709353f19 + .quad 0x423f06cb0622702b + .quad 0x585a2277d87845dd + .quad 0xa18a5f8233d48962 + .quad 0x6698c4b5ec78257f + .quad 0xa78e6fa5373e41ff + .quad 0x7656278950ef981f + + // 2^184 * 5 * B + + .quad 0x38c3cf59d51fc8c0 + .quad 0x9bedd2fd0506b6f2 + .quad 0x26bf109fab570e8f + .quad 0x3f4160a8c1b846a6 + .quad 0xe17073a3ea86cf9d + .quad 0x3a8cfbb707155fdc + .quad 0x4853e7fc31838a8e + .quad 0x28bbf484b613f616 + .quad 0xf2612f5c6f136c7c + .quad 0xafead107f6dd11be + .quad 0x527e9ad213de6f33 + .quad 0x1e79cb358188f75d + + // 2^184 * 6 * B + + .quad 0x013436c3eef7e3f1 + .quad 0x828b6a7ffe9e10f8 + .quad 0x7ff908e5bcf9defc + .quad 0x65d7951b3a3b3831 + .quad 0x77e953d8f5e08181 + .quad 0x84a50c44299dded9 + .quad 0xdc6c2d0c864525e5 + .quad 0x478ab52d39d1f2f4 + .quad 0x66a6a4d39252d159 + .quad 0xe5dde1bc871ac807 + .quad 0xb82c6b40a6c1c96f + .quad 0x16d87a411a212214 + + // 2^184 * 7 * B + + .quad 0xb3bd7e5a42066215 + .quad 0x879be3cd0c5a24c1 + .quad 0x57c05db1d6f994b7 + .quad 0x28f87c8165f38ca6 + .quad 0xfba4d5e2d54e0583 + .quad 0xe21fafd72ebd99fa + .quad 0x497ac2736ee9778f + .quad 0x1f990b577a5a6dde + .quad 0xa3344ead1be8f7d6 + .quad 0x7d1e50ebacea798f + .quad 0x77c6569e520de052 + .quad 0x45882fe1534d6d3e + + // 2^184 * 8 * B + + .quad 0x6669345d757983d6 + .quad 0x62b6ed1117aa11a6 + .quad 0x7ddd1857985e128f + .quad 0x688fe5b8f626f6dd + .quad 0xd8ac9929943c6fe4 + .quad 0xb5f9f161a38392a2 + .quad 0x2699db13bec89af3 + .quad 0x7dcf843ce405f074 + .quad 0x6c90d6484a4732c0 + .quad 0xd52143fdca563299 + .quad 0xb3be28c3915dc6e1 + .quad 0x6739687e7327191b + + // 2^188 * 1 * B + + .quad 0x9f65c5ea200814cf + .quad 0x840536e169a31740 + .quad 0x8b0ed13925c8b4ad + .quad 0x0080dbafe936361d + .quad 0x8ce5aad0c9cb971f + .quad 0x1156aaa99fd54a29 + .quad 0x41f7247015af9b78 + .quad 0x1fe8cca8420f49aa + .quad 0x72a1848f3c0cc82a + .quad 0x38c560c2877c9e54 + .quad 0x5004e228ce554140 + .quad 0x042418a103429d71 + + // 2^188 * 2 * B + + .quad 0x899dea51abf3ff5f + .quad 0x9b93a8672fc2d8ba + .quad 0x2c38cb97be6ebd5c + .quad 0x114d578497263b5d + .quad 0x58e84c6f20816247 + .quad 0x8db2b2b6e36fd793 + .quad 0x977182561d484d85 + .quad 0x0822024f8632abd7 + .quad 0xb301bb7c6b1beca3 + .quad 0x55393f6dc6eb1375 + .quad 0x910d281097b6e4eb + .quad 0x1ad4548d9d479ea3 + + // 2^188 * 3 * B + + .quad 0xcd5a7da0389a48fd + .quad 0xb38fa4aa9a78371e + .quad 0xc6d9761b2cdb8e6c + .quad 0x35cf51dbc97e1443 + .quad 0xa06fe66d0fe9fed3 + .quad 0xa8733a401c587909 + .quad 0x30d14d800df98953 + .quad 0x41ce5876c7b30258 + .quad 0x59ac3bc5d670c022 + .quad 0xeae67c109b119406 + .quad 0x9798bdf0b3782fda + .quad 0x651e3201fd074092 + + // 2^188 * 4 * B + + .quad 0xd63d8483ef30c5cf + .quad 0x4cd4b4962361cc0c + .quad 0xee90e500a48426ac + .quad 0x0af51d7d18c14eeb + .quad 0xa57ba4a01efcae9e + .quad 0x769f4beedc308a94 + .quad 0xd1f10eeb3603cb2e + .quad 0x4099ce5e7e441278 + .quad 0x1ac98e4f8a5121e9 + .quad 0x7dae9544dbfa2fe0 + .quad 0x8320aa0dd6430df9 + .quad 0x667282652c4a2fb5 + + // 2^188 * 5 * B + + .quad 0x874621f4d86bc9ab + .quad 0xb54c7bbe56fe6fea + .quad 0x077a24257fadc22c + .quad 0x1ab53be419b90d39 + .quad 0xada8b6e02946db23 + .quad 0x1c0ce51a7b253ab7 + .quad 0x8448c85a66dd485b + .quad 0x7f1fc025d0675adf + .quad 0xd8ee1b18319ea6aa + .quad 0x004d88083a21f0da + .quad 0x3bd6aa1d883a4f4b + .quad 0x4db9a3a6dfd9fd14 + + // 2^188 * 6 * B + + .quad 0x8ce7b23bb99c0755 + .quad 0x35c5d6edc4f50f7a + .quad 0x7e1e2ed2ed9b50c3 + .quad 0x36305f16e8934da1 + .quad 0xd95b00bbcbb77c68 + .quad 0xddbc846a91f17849 + .quad 0x7cf700aebe28d9b3 + .quad 0x5ce1285c85d31f3e + .quad 0x31b6972d98b0bde8 + .quad 0x7d920706aca6de5b + .quad 0xe67310f8908a659f + .quad 0x50fac2a6efdf0235 + + // 2^188 * 7 * B + + .quad 0xf3d3a9f35b880f5a + .quad 0xedec050cdb03e7c2 + .quad 0xa896981ff9f0b1a2 + .quad 0x49a4ae2bac5e34a4 + .quad 0x295b1c86f6f449bc + .quad 0x51b2e84a1f0ab4dd + .quad 0xc001cb30aa8e551d + .quad 0x6a28d35944f43662 + .quad 0x28bb12ee04a740e0 + .quad 0x14313bbd9bce8174 + .quad 0x72f5b5e4e8c10c40 + .quad 0x7cbfb19936adcd5b + + // 2^188 * 8 * B + + .quad 0xa311ddc26b89792d + .quad 0x1b30b4c6da512664 + .quad 0x0ca77b4ccf150859 + .quad 0x1de443df1b009408 + .quad 0x8e793a7acc36e6e0 + .quad 0xf9fab7a37d586eed + .quad 0x3a4f9692bae1f4e4 + .quad 0x1c14b03eff5f447e + .quad 0x19647bd114a85291 + .quad 0x57b76cb21034d3af + .quad 0x6329db440f9d6dfa + .quad 0x5ef43e586a571493 + + // 2^192 * 1 * B + + .quad 0xef782014385675a6 + .quad 0xa2649f30aafda9e8 + .quad 0x4cd1eb505cdfa8cb + .quad 0x46115aba1d4dc0b3 + .quad 0xa66dcc9dc80c1ac0 + .quad 0x97a05cf41b38a436 + .quad 0xa7ebf3be95dbd7c6 + .quad 0x7da0b8f68d7e7dab + .quad 0xd40f1953c3b5da76 + .quad 0x1dac6f7321119e9b + .quad 0x03cc6021feb25960 + .quad 0x5a5f887e83674b4b + + // 2^192 * 2 * B + + .quad 0x8f6301cf70a13d11 + .quad 0xcfceb815350dd0c4 + .quad 0xf70297d4a4bca47e + .quad 0x3669b656e44d1434 + .quad 0x9e9628d3a0a643b9 + .quad 0xb5c3cb00e6c32064 + .quad 0x9b5302897c2dec32 + .quad 0x43e37ae2d5d1c70c + .quad 0x387e3f06eda6e133 + .quad 0x67301d5199a13ac0 + .quad 0xbd5ad8f836263811 + .quad 0x6a21e6cd4fd5e9be + + // 2^192 * 3 * B + + .quad 0xf1c6170a3046e65f + .quad 0x58712a2a00d23524 + .quad 0x69dbbd3c8c82b755 + .quad 0x586bf9f1a195ff57 + .quad 0xef4129126699b2e3 + .quad 0x71d30847708d1301 + .quad 0x325432d01182b0bd + .quad 0x45371b07001e8b36 + .quad 0xa6db088d5ef8790b + .quad 0x5278f0dc610937e5 + .quad 0xac0349d261a16eb8 + .quad 0x0eafb03790e52179 + + // 2^192 * 4 * B + + .quad 0x960555c13748042f + .quad 0x219a41e6820baa11 + .quad 0x1c81f73873486d0c + .quad 0x309acc675a02c661 + .quad 0x5140805e0f75ae1d + .quad 0xec02fbe32662cc30 + .quad 0x2cebdf1eea92396d + .quad 0x44ae3344c5435bb3 + .quad 0x9cf289b9bba543ee + .quad 0xf3760e9d5ac97142 + .quad 0x1d82e5c64f9360aa + .quad 0x62d5221b7f94678f + + // 2^192 * 5 * B + + .quad 0x524c299c18d0936d + .quad 0xc86bb56c8a0c1a0c + .quad 0xa375052edb4a8631 + .quad 0x5c0efde4bc754562 + .quad 0x7585d4263af77a3c + .quad 0xdfae7b11fee9144d + .quad 0xa506708059f7193d + .quad 0x14f29a5383922037 + .quad 0xdf717edc25b2d7f5 + .quad 0x21f970db99b53040 + .quad 0xda9234b7c3ed4c62 + .quad 0x5e72365c7bee093e + + // 2^192 * 6 * B + + .quad 0x575bfc074571217f + .quad 0x3779675d0694d95b + .quad 0x9a0a37bbf4191e33 + .quad 0x77f1104c47b4eabc + .quad 0x7d9339062f08b33e + .quad 0x5b9659e5df9f32be + .quad 0xacff3dad1f9ebdfd + .quad 0x70b20555cb7349b7 + .quad 0xbe5113c555112c4c + .quad 0x6688423a9a881fcd + .quad 0x446677855e503b47 + .quad 0x0e34398f4a06404a + + // 2^192 * 7 * B + + .quad 0xb67d22d93ecebde8 + .quad 0x09b3e84127822f07 + .quad 0x743fa61fb05b6d8d + .quad 0x5e5405368a362372 + .quad 0x18930b093e4b1928 + .quad 0x7de3e10e73f3f640 + .quad 0xf43217da73395d6f + .quad 0x6f8aded6ca379c3e + .quad 0xe340123dfdb7b29a + .quad 0x487b97e1a21ab291 + .quad 0xf9967d02fde6949e + .quad 0x780de72ec8d3de97 + + // 2^192 * 8 * B + + .quad 0x0ae28545089ae7bc + .quad 0x388ddecf1c7f4d06 + .quad 0x38ac15510a4811b8 + .quad 0x0eb28bf671928ce4 + .quad 0x671feaf300f42772 + .quad 0x8f72eb2a2a8c41aa + .quad 0x29a17fd797373292 + .quad 0x1defc6ad32b587a6 + .quad 0xaf5bbe1aef5195a7 + .quad 0x148c1277917b15ed + .quad 0x2991f7fb7ae5da2e + .quad 0x467d201bf8dd2867 + + // 2^196 * 1 * B + + .quad 0x7906ee72f7bd2e6b + .quad 0x05d270d6109abf4e + .quad 0x8d5cfe45b941a8a4 + .quad 0x44c218671c974287 + .quad 0x745f9d56296bc318 + .quad 0x993580d4d8152e65 + .quad 0xb0e5b13f5839e9ce + .quad 0x51fc2b28d43921c0 + .quad 0x1b8fd11795e2a98c + .quad 0x1c4e5ee12b6b6291 + .quad 0x5b30e7107424b572 + .quad 0x6e6b9de84c4f4ac6 + + // 2^196 * 2 * B + + .quad 0xdff25fce4b1de151 + .quad 0xd841c0c7e11c4025 + .quad 0x2554b3c854749c87 + .quad 0x2d292459908e0df9 + .quad 0x6b7c5f10f80cb088 + .quad 0x736b54dc56e42151 + .quad 0xc2b620a5c6ef99c4 + .quad 0x5f4c802cc3a06f42 + .quad 0x9b65c8f17d0752da + .quad 0x881ce338c77ee800 + .quad 0xc3b514f05b62f9e3 + .quad 0x66ed5dd5bec10d48 + + // 2^196 * 3 * B + + .quad 0x7d38a1c20bb2089d + .quad 0x808334e196ccd412 + .quad 0xc4a70b8c6c97d313 + .quad 0x2eacf8bc03007f20 + .quad 0xf0adf3c9cbca047d + .quad 0x81c3b2cbf4552f6b + .quad 0xcfda112d44735f93 + .quad 0x1f23a0c77e20048c + .quad 0xf235467be5bc1570 + .quad 0x03d2d9020dbab38c + .quad 0x27529aa2fcf9e09e + .quad 0x0840bef29d34bc50 + + // 2^196 * 4 * B + + .quad 0x796dfb35dc10b287 + .quad 0x27176bcd5c7ff29d + .quad 0x7f3d43e8c7b24905 + .quad 0x0304f5a191c54276 + .quad 0xcd54e06b7f37e4eb + .quad 0x8cc15f87f5e96cca + .quad 0xb8248bb0d3597dce + .quad 0x246affa06074400c + .quad 0x37d88e68fbe45321 + .quad 0x86097548c0d75032 + .quad 0x4e9b13ef894a0d35 + .quad 0x25a83cac5753d325 + + // 2^196 * 5 * B + + .quad 0x10222f48eed8165e + .quad 0x623fc1234b8bcf3a + .quad 0x1e145c09c221e8f0 + .quad 0x7ccfa59fca782630 + .quad 0x9f0f66293952b6e2 + .quad 0x33db5e0e0934267b + .quad 0xff45252bd609fedc + .quad 0x06be10f5c506e0c9 + .quad 0x1a9615a9b62a345f + .quad 0x22050c564a52fecc + .quad 0xa7a2788528bc0dfe + .quad 0x5e82770a1a1ee71d + + // 2^196 * 6 * B + + .quad 0x35425183ad896a5c + .quad 0xe8673afbe78d52f6 + .quad 0x2c66f25f92a35f64 + .quad 0x09d04f3b3b86b102 + .quad 0xe802e80a42339c74 + .quad 0x34175166a7fffae5 + .quad 0x34865d1f1c408cae + .quad 0x2cca982c605bc5ee + .quad 0xfd2d5d35197dbe6e + .quad 0x207c2eea8be4ffa3 + .quad 0x2613d8db325ae918 + .quad 0x7a325d1727741d3e + + // 2^196 * 7 * B + + .quad 0xd036b9bbd16dfde2 + .quad 0xa2055757c497a829 + .quad 0x8e6cc966a7f12667 + .quad 0x4d3b1a791239c180 + .quad 0xecd27d017e2a076a + .quad 0xd788689f1636495e + .quad 0x52a61af0919233e5 + .quad 0x2a479df17bb1ae64 + .quad 0x9e5eee8e33db2710 + .quad 0x189854ded6c43ca5 + .quad 0xa41c22c592718138 + .quad 0x27ad5538a43a5e9b + + // 2^196 * 8 * B + + .quad 0x2746dd4b15350d61 + .quad 0xd03fcbc8ee9521b7 + .quad 0xe86e365a138672ca + .quad 0x510e987f7e7d89e2 + .quad 0xcb5a7d638e47077c + .quad 0x8db7536120a1c059 + .quad 0x549e1e4d8bedfdcc + .quad 0x080153b7503b179d + .quad 0xdda69d930a3ed3e3 + .quad 0x3d386ef1cd60a722 + .quad 0xc817ad58bdaa4ee6 + .quad 0x23be8d554fe7372a + + // 2^200 * 1 * B + + .quad 0x95fe919a74ef4fad + .quad 0x3a827becf6a308a2 + .quad 0x964e01d309a47b01 + .quad 0x71c43c4f5ba3c797 + .quad 0xbc1ef4bd567ae7a9 + .quad 0x3f624cb2d64498bd + .quad 0xe41064d22c1f4ec8 + .quad 0x2ef9c5a5ba384001 + .quad 0xb6fd6df6fa9e74cd + .quad 0xf18278bce4af267a + .quad 0x8255b3d0f1ef990e + .quad 0x5a758ca390c5f293 + + // 2^200 * 2 * B + + .quad 0xa2b72710d9462495 + .quad 0x3aa8c6d2d57d5003 + .quad 0xe3d400bfa0b487ca + .quad 0x2dbae244b3eb72ec + .quad 0x8ce0918b1d61dc94 + .quad 0x8ded36469a813066 + .quad 0xd4e6a829afe8aad3 + .quad 0x0a738027f639d43f + .quad 0x980f4a2f57ffe1cc + .quad 0x00670d0de1839843 + .quad 0x105c3f4a49fb15fd + .quad 0x2698ca635126a69c + + // 2^200 * 3 * B + + .quad 0xe765318832b0ba78 + .quad 0x381831f7925cff8b + .quad 0x08a81b91a0291fcc + .quad 0x1fb43dcc49caeb07 + .quad 0x2e3d702f5e3dd90e + .quad 0x9e3f0918e4d25386 + .quad 0x5e773ef6024da96a + .quad 0x3c004b0c4afa3332 + .quad 0x9aa946ac06f4b82b + .quad 0x1ca284a5a806c4f3 + .quad 0x3ed3265fc6cd4787 + .quad 0x6b43fd01cd1fd217 + + // 2^200 * 4 * B + + .quad 0xc7a75d4b4697c544 + .quad 0x15fdf848df0fffbf + .quad 0x2868b9ebaa46785a + .quad 0x5a68d7105b52f714 + .quad 0xb5c742583e760ef3 + .quad 0x75dc52b9ee0ab990 + .quad 0xbf1427c2072b923f + .quad 0x73420b2d6ff0d9f0 + .quad 0xaf2cf6cb9e851e06 + .quad 0x8f593913c62238c4 + .quad 0xda8ab89699fbf373 + .quad 0x3db5632fea34bc9e + + // 2^200 * 5 * B + + .quad 0xf46eee2bf75dd9d8 + .quad 0x0d17b1f6396759a5 + .quad 0x1bf2d131499e7273 + .quad 0x04321adf49d75f13 + .quad 0x2e4990b1829825d5 + .quad 0xedeaeb873e9a8991 + .quad 0xeef03d394c704af8 + .quad 0x59197ea495df2b0e + .quad 0x04e16019e4e55aae + .quad 0xe77b437a7e2f92e9 + .quad 0xc7ce2dc16f159aa4 + .quad 0x45eafdc1f4d70cc0 + + // 2^200 * 6 * B + + .quad 0x698401858045d72b + .quad 0x4c22faa2cf2f0651 + .quad 0x941a36656b222dc6 + .quad 0x5a5eebc80362dade + .quad 0xb60e4624cfccb1ed + .quad 0x59dbc292bd5c0395 + .quad 0x31a09d1ddc0481c9 + .quad 0x3f73ceea5d56d940 + .quad 0xb7a7bfd10a4e8dc6 + .quad 0xbe57007e44c9b339 + .quad 0x60c1207f1557aefa + .quad 0x26058891266218db + + // 2^200 * 7 * B + + .quad 0x59f704a68360ff04 + .quad 0xc3d93fde7661e6f4 + .quad 0x831b2a7312873551 + .quad 0x54ad0c2e4e615d57 + .quad 0x4c818e3cc676e542 + .quad 0x5e422c9303ceccad + .quad 0xec07cccab4129f08 + .quad 0x0dedfa10b24443b8 + .quad 0xee3b67d5b82b522a + .quad 0x36f163469fa5c1eb + .quad 0xa5b4d2f26ec19fd3 + .quad 0x62ecb2baa77a9408 + + // 2^200 * 8 * B + + .quad 0xe5ed795261152b3d + .quad 0x4962357d0eddd7d1 + .quad 0x7482c8d0b96b4c71 + .quad 0x2e59f919a966d8be + .quad 0x92072836afb62874 + .quad 0x5fcd5e8579e104a5 + .quad 0x5aad01adc630a14a + .quad 0x61913d5075663f98 + .quad 0x0dc62d361a3231da + .quad 0xfa47583294200270 + .quad 0x02d801513f9594ce + .quad 0x3ddbc2a131c05d5c + + // 2^204 * 1 * B + + .quad 0x3f50a50a4ffb81ef + .quad 0xb1e035093bf420bf + .quad 0x9baa8e1cc6aa2cd0 + .quad 0x32239861fa237a40 + .quad 0xfb735ac2004a35d1 + .quad 0x31de0f433a6607c3 + .quad 0x7b8591bfc528d599 + .quad 0x55be9a25f5bb050c + .quad 0x0d005acd33db3dbf + .quad 0x0111b37c80ac35e2 + .quad 0x4892d66c6f88ebeb + .quad 0x770eadb16508fbcd + + // 2^204 * 2 * B + + .quad 0x8451f9e05e4e89dd + .quad 0xc06302ffbc793937 + .quad 0x5d22749556a6495c + .quad 0x09a6755ca05603fb + .quad 0xf1d3b681a05071b9 + .quad 0x2207659a3592ff3a + .quad 0x5f0169297881e40e + .quad 0x16bedd0e86ba374e + .quad 0x5ecccc4f2c2737b5 + .quad 0x43b79e0c2dccb703 + .quad 0x33e008bc4ec43df3 + .quad 0x06c1b840f07566c0 + + // 2^204 * 3 * B + + .quad 0x7688a5c6a388f877 + .quad 0x02a96c14deb2b6ac + .quad 0x64c9f3431b8c2af8 + .quad 0x3628435554a1eed6 + .quad 0x69ee9e7f9b02805c + .quad 0xcbff828a547d1640 + .quad 0x3d93a869b2430968 + .quad 0x46b7b8cd3fe26972 + .quad 0xe9812086fe7eebe0 + .quad 0x4cba6be72f515437 + .quad 0x1d04168b516efae9 + .quad 0x5ea1391043982cb9 + + // 2^204 * 4 * B + + .quad 0x49125c9cf4702ee1 + .quad 0x4520b71f8b25b32d + .quad 0x33193026501fef7e + .quad 0x656d8997c8d2eb2b + .quad 0x6f2b3be4d5d3b002 + .quad 0xafec33d96a09c880 + .quad 0x035f73a4a8bcc4cc + .quad 0x22c5b9284662198b + .quad 0xcb58c8fe433d8939 + .quad 0x89a0cb2e6a8d7e50 + .quad 0x79ca955309fbbe5a + .quad 0x0c626616cd7fc106 + + // 2^204 * 5 * B + + .quad 0x1ffeb80a4879b61f + .quad 0x6396726e4ada21ed + .quad 0x33c7b093368025ba + .quad 0x471aa0c6f3c31788 + .quad 0x8fdfc379fbf454b1 + .quad 0x45a5a970f1a4b771 + .quad 0xac921ef7bad35915 + .quad 0x42d088dca81c2192 + .quad 0x8fda0f37a0165199 + .quad 0x0adadb77c8a0e343 + .quad 0x20fbfdfcc875e820 + .quad 0x1cf2bea80c2206e7 + + // 2^204 * 6 * B + + .quad 0xc2ddf1deb36202ac + .quad 0x92a5fe09d2e27aa5 + .quad 0x7d1648f6fc09f1d3 + .quad 0x74c2cc0513bc4959 + .quad 0x982d6e1a02c0412f + .quad 0x90fa4c83db58e8fe + .quad 0x01c2f5bcdcb18bc0 + .quad 0x686e0c90216abc66 + .quad 0x1fadbadba54395a7 + .quad 0xb41a02a0ae0da66a + .quad 0xbf19f598bba37c07 + .quad 0x6a12b8acde48430d + + // 2^204 * 7 * B + + .quad 0xf8daea1f39d495d9 + .quad 0x592c190e525f1dfc + .quad 0xdb8cbd04c9991d1b + .quad 0x11f7fda3d88f0cb7 + .quad 0x793bdd801aaeeb5f + .quad 0x00a2a0aac1518871 + .quad 0xe8a373a31f2136b4 + .quad 0x48aab888fc91ef19 + .quad 0x041f7e925830f40e + .quad 0x002d6ca979661c06 + .quad 0x86dc9ff92b046a2e + .quad 0x760360928b0493d1 + + // 2^204 * 8 * B + + .quad 0x21bb41c6120cf9c6 + .quad 0xeab2aa12decda59b + .quad 0xc1a72d020aa48b34 + .quad 0x215d4d27e87d3b68 + .quad 0xb43108e5695a0b05 + .quad 0x6cb00ee8ad37a38b + .quad 0x5edad6eea3537381 + .quad 0x3f2602d4b6dc3224 + .quad 0xc8b247b65bcaf19c + .quad 0x49779dc3b1b2c652 + .quad 0x89a180bbd5ece2e2 + .quad 0x13f098a3cec8e039 + + // 2^208 * 1 * B + + .quad 0x9adc0ff9ce5ec54b + .quad 0x039c2a6b8c2f130d + .quad 0x028007c7f0f89515 + .quad 0x78968314ac04b36b + .quad 0xf3aa57a22796bb14 + .quad 0x883abab79b07da21 + .quad 0xe54be21831a0391c + .quad 0x5ee7fb38d83205f9 + .quad 0x538dfdcb41446a8e + .quad 0xa5acfda9434937f9 + .quad 0x46af908d263c8c78 + .quad 0x61d0633c9bca0d09 + + // 2^208 * 2 * B + + .quad 0x63744935ffdb2566 + .quad 0xc5bd6b89780b68bb + .quad 0x6f1b3280553eec03 + .quad 0x6e965fd847aed7f5 + .quad 0xada328bcf8fc73df + .quad 0xee84695da6f037fc + .quad 0x637fb4db38c2a909 + .quad 0x5b23ac2df8067bdc + .quad 0x9ad2b953ee80527b + .quad 0xe88f19aafade6d8d + .quad 0x0e711704150e82cf + .quad 0x79b9bbb9dd95dedc + + // 2^208 * 3 * B + + .quad 0xebb355406a3126c2 + .quad 0xd26383a868c8c393 + .quad 0x6c0c6429e5b97a82 + .quad 0x5065f158c9fd2147 + .quad 0xd1997dae8e9f7374 + .quad 0xa032a2f8cfbb0816 + .quad 0xcd6cba126d445f0a + .quad 0x1ba811460accb834 + .quad 0x708169fb0c429954 + .quad 0xe14600acd76ecf67 + .quad 0x2eaab98a70e645ba + .quad 0x3981f39e58a4faf2 + + // 2^208 * 4 * B + + .quad 0x18fb8a7559230a93 + .quad 0x1d168f6960e6f45d + .quad 0x3a85a94514a93cb5 + .quad 0x38dc083705acd0fd + .quad 0xc845dfa56de66fde + .quad 0xe152a5002c40483a + .quad 0xe9d2e163c7b4f632 + .quad 0x30f4452edcbc1b65 + .quad 0x856d2782c5759740 + .quad 0xfa134569f99cbecc + .quad 0x8844fc73c0ea4e71 + .quad 0x632d9a1a593f2469 + + // 2^208 * 5 * B + + .quad 0xf6bb6b15b807cba6 + .quad 0x1823c7dfbc54f0d7 + .quad 0xbb1d97036e29670b + .quad 0x0b24f48847ed4a57 + .quad 0xbf09fd11ed0c84a7 + .quad 0x63f071810d9f693a + .quad 0x21908c2d57cf8779 + .quad 0x3a5a7df28af64ba2 + .quad 0xdcdad4be511beac7 + .quad 0xa4538075ed26ccf2 + .quad 0xe19cff9f005f9a65 + .quad 0x34fcf74475481f63 + + // 2^208 * 6 * B + + .quad 0xc197e04c789767ca + .quad 0xb8714dcb38d9467d + .quad 0x55de888283f95fa8 + .quad 0x3d3bdc164dfa63f7 + .quad 0xa5bb1dab78cfaa98 + .quad 0x5ceda267190b72f2 + .quad 0x9309c9110a92608e + .quad 0x0119a3042fb374b0 + .quad 0x67a2d89ce8c2177d + .quad 0x669da5f66895d0c1 + .quad 0xf56598e5b282a2b0 + .quad 0x56c088f1ede20a73 + + // 2^208 * 7 * B + + .quad 0x336d3d1110a86e17 + .quad 0xd7f388320b75b2fa + .quad 0xf915337625072988 + .quad 0x09674c6b99108b87 + .quad 0x581b5fac24f38f02 + .quad 0xa90be9febae30cbd + .quad 0x9a2169028acf92f0 + .quad 0x038b7ea48359038f + .quad 0x9f4ef82199316ff8 + .quad 0x2f49d282eaa78d4f + .quad 0x0971a5ab5aef3174 + .quad 0x6e5e31025969eb65 + + // 2^208 * 8 * B + + .quad 0xb16c62f587e593fb + .quad 0x4999eddeca5d3e71 + .quad 0xb491c1e014cc3e6d + .quad 0x08f5114789a8dba8 + .quad 0x3304fb0e63066222 + .quad 0xfb35068987acba3f + .quad 0xbd1924778c1061a3 + .quad 0x3058ad43d1838620 + .quad 0x323c0ffde57663d0 + .quad 0x05c3df38a22ea610 + .quad 0xbdc78abdac994f9a + .quad 0x26549fa4efe3dc99 + + // 2^212 * 1 * B + + .quad 0x738b38d787ce8f89 + .quad 0xb62658e24179a88d + .quad 0x30738c9cf151316d + .quad 0x49128c7f727275c9 + .quad 0x04dbbc17f75396b9 + .quad 0x69e6a2d7d2f86746 + .quad 0xc6409d99f53eabc6 + .quad 0x606175f6332e25d2 + .quad 0x4021370ef540e7dd + .quad 0x0910d6f5a1f1d0a5 + .quad 0x4634aacd5b06b807 + .quad 0x6a39e6356944f235 + + // 2^212 * 2 * B + + .quad 0x96cd5640df90f3e7 + .quad 0x6c3a760edbfa25ea + .quad 0x24f3ef0959e33cc4 + .quad 0x42889e7e530d2e58 + .quad 0x1da1965774049e9d + .quad 0xfbcd6ea198fe352b + .quad 0xb1cbcd50cc5236a6 + .quad 0x1f5ec83d3f9846e2 + .quad 0x8efb23c3328ccb75 + .quad 0xaf42a207dd876ee9 + .quad 0x20fbdadc5dfae796 + .quad 0x241e246b06bf9f51 + + // 2^212 * 3 * B + + .quad 0x29e68e57ad6e98f6 + .quad 0x4c9260c80b462065 + .quad 0x3f00862ea51ebb4b + .quad 0x5bc2c77fb38d9097 + .quad 0x7eaafc9a6280bbb8 + .quad 0x22a70f12f403d809 + .quad 0x31ce40bb1bfc8d20 + .quad 0x2bc65635e8bd53ee + .quad 0xe8d5dc9fa96bad93 + .quad 0xe58fb17dde1947dc + .quad 0x681532ea65185fa3 + .quad 0x1fdd6c3b034a7830 + + // 2^212 * 4 * B + + .quad 0x0a64e28c55dc18fe + .quad 0xe3df9e993399ebdd + .quad 0x79ac432370e2e652 + .quad 0x35ff7fc33ae4cc0e + .quad 0x9c13a6a52dd8f7a9 + .quad 0x2dbb1f8c3efdcabf + .quad 0x961e32405e08f7b5 + .quad 0x48c8a121bbe6c9e5 + .quad 0xfc415a7c59646445 + .quad 0xd224b2d7c128b615 + .quad 0x6035c9c905fbb912 + .quad 0x42d7a91274429fab + + // 2^212 * 5 * B + + .quad 0x4e6213e3eaf72ed3 + .quad 0x6794981a43acd4e7 + .quad 0xff547cde6eb508cb + .quad 0x6fed19dd10fcb532 + .quad 0xa9a48947933da5bc + .quad 0x4a58920ec2e979ec + .quad 0x96d8800013e5ac4c + .quad 0x453692d74b48b147 + .quad 0xdd775d99a8559c6f + .quad 0xf42a2140df003e24 + .quad 0x5223e229da928a66 + .quad 0x063f46ba6d38f22c + + // 2^212 * 6 * B + + .quad 0xd2d242895f536694 + .quad 0xca33a2c542939b2c + .quad 0x986fada6c7ddb95c + .quad 0x5a152c042f712d5d + .quad 0x39843cb737346921 + .quad 0xa747fb0738c89447 + .quad 0xcb8d8031a245307e + .quad 0x67810f8e6d82f068 + .quad 0x3eeb8fbcd2287db4 + .quad 0x72c7d3a301a03e93 + .quad 0x5473e88cbd98265a + .quad 0x7324aa515921b403 + + // 2^212 * 7 * B + + .quad 0x857942f46c3cbe8e + .quad 0xa1d364b14730c046 + .quad 0x1c8ed914d23c41bf + .quad 0x0838e161eef6d5d2 + .quad 0xad23f6dae82354cb + .quad 0x6962502ab6571a6d + .quad 0x9b651636e38e37d1 + .quad 0x5cac5005d1a3312f + .quad 0x8cc154cce9e39904 + .quad 0x5b3a040b84de6846 + .quad 0xc4d8a61cb1be5d6e + .quad 0x40fb897bd8861f02 + + // 2^212 * 8 * B + + .quad 0x84c5aa9062de37a1 + .quad 0x421da5000d1d96e1 + .quad 0x788286306a9242d9 + .quad 0x3c5e464a690d10da + .quad 0xe57ed8475ab10761 + .quad 0x71435e206fd13746 + .quad 0x342f824ecd025632 + .quad 0x4b16281ea8791e7b + .quad 0xd1c101d50b813381 + .quad 0xdee60f1176ee6828 + .quad 0x0cb68893383f6409 + .quad 0x6183c565f6ff484a + + // 2^216 * 1 * B + + .quad 0x741d5a461e6bf9d6 + .quad 0x2305b3fc7777a581 + .quad 0xd45574a26474d3d9 + .quad 0x1926e1dc6401e0ff + .quad 0xdb468549af3f666e + .quad 0xd77fcf04f14a0ea5 + .quad 0x3df23ff7a4ba0c47 + .quad 0x3a10dfe132ce3c85 + .quad 0xe07f4e8aea17cea0 + .quad 0x2fd515463a1fc1fd + .quad 0x175322fd31f2c0f1 + .quad 0x1fa1d01d861e5d15 + + // 2^216 * 2 * B + + .quad 0xcc8055947d599832 + .quad 0x1e4656da37f15520 + .quad 0x99f6f7744e059320 + .quad 0x773563bc6a75cf33 + .quad 0x38dcac00d1df94ab + .quad 0x2e712bddd1080de9 + .quad 0x7f13e93efdd5e262 + .quad 0x73fced18ee9a01e5 + .quad 0x06b1e90863139cb3 + .quad 0xa493da67c5a03ecd + .quad 0x8d77cec8ad638932 + .quad 0x1f426b701b864f44 + + // 2^216 * 3 * B + + .quad 0xefc9264c41911c01 + .quad 0xf1a3b7b817a22c25 + .quad 0x5875da6bf30f1447 + .quad 0x4e1af5271d31b090 + .quad 0xf17e35c891a12552 + .quad 0xb76b8153575e9c76 + .quad 0xfa83406f0d9b723e + .quad 0x0b76bb1b3fa7e438 + .quad 0x08b8c1f97f92939b + .quad 0xbe6771cbd444ab6e + .quad 0x22e5646399bb8017 + .quad 0x7b6dd61eb772a955 + + // 2^216 * 4 * B + + .quad 0xb7adc1e850f33d92 + .quad 0x7998fa4f608cd5cf + .quad 0xad962dbd8dfc5bdb + .quad 0x703e9bceaf1d2f4f + .quad 0x5730abf9ab01d2c7 + .quad 0x16fb76dc40143b18 + .quad 0x866cbe65a0cbb281 + .quad 0x53fa9b659bff6afe + .quad 0x6c14c8e994885455 + .quad 0x843a5d6665aed4e5 + .quad 0x181bb73ebcd65af1 + .quad 0x398d93e5c4c61f50 + + // 2^216 * 5 * B + + .quad 0x1c4bd16733e248f3 + .quad 0xbd9e128715bf0a5f + .quad 0xd43f8cf0a10b0376 + .quad 0x53b09b5ddf191b13 + .quad 0xc3877c60d2e7e3f2 + .quad 0x3b34aaa030828bb1 + .quad 0x283e26e7739ef138 + .quad 0x699c9c9002c30577 + .quad 0xf306a7235946f1cc + .quad 0x921718b5cce5d97d + .quad 0x28cdd24781b4e975 + .quad 0x51caf30c6fcdd907 + + // 2^216 * 6 * B + + .quad 0xa60ba7427674e00a + .quad 0x630e8570a17a7bf3 + .quad 0x3758563dcf3324cc + .quad 0x5504aa292383fdaa + .quad 0x737af99a18ac54c7 + .quad 0x903378dcc51cb30f + .quad 0x2b89bc334ce10cc7 + .quad 0x12ae29c189f8e99a + .quad 0xa99ec0cb1f0d01cf + .quad 0x0dd1efcc3a34f7ae + .quad 0x55ca7521d09c4e22 + .quad 0x5fd14fe958eba5ea + + // 2^216 * 7 * B + + .quad 0xb5dc2ddf2845ab2c + .quad 0x069491b10a7fe993 + .quad 0x4daaf3d64002e346 + .quad 0x093ff26e586474d1 + .quad 0x3c42fe5ebf93cb8e + .quad 0xbedfa85136d4565f + .quad 0xe0f0859e884220e8 + .quad 0x7dd73f960725d128 + .quad 0xb10d24fe68059829 + .quad 0x75730672dbaf23e5 + .quad 0x1367253ab457ac29 + .quad 0x2f59bcbc86b470a4 + + // 2^216 * 8 * B + + .quad 0x83847d429917135f + .quad 0xad1b911f567d03d7 + .quad 0x7e7748d9be77aad1 + .quad 0x5458b42e2e51af4a + .quad 0x7041d560b691c301 + .quad 0x85201b3fadd7e71e + .quad 0x16c2e16311335585 + .quad 0x2aa55e3d010828b1 + .quad 0xed5192e60c07444f + .quad 0x42c54e2d74421d10 + .quad 0x352b4c82fdb5c864 + .quad 0x13e9004a8a768664 + + // 2^220 * 1 * B + + .quad 0xcbb5b5556c032bff + .quad 0xdf7191b729297a3a + .quad 0xc1ff7326aded81bb + .quad 0x71ade8bb68be03f5 + .quad 0x1e6284c5806b467c + .quad 0xc5f6997be75d607b + .quad 0x8b67d958b378d262 + .quad 0x3d88d66a81cd8b70 + .quad 0x8b767a93204ed789 + .quad 0x762fcacb9fa0ae2a + .quad 0x771febcc6dce4887 + .quad 0x343062158ff05fb3 + + // 2^220 * 2 * B + + .quad 0xe05da1a7e1f5bf49 + .quad 0x26457d6dd4736092 + .quad 0x77dcb07773cc32f6 + .quad 0x0a5d94969cdd5fcd + .quad 0xfce219072a7b31b4 + .quad 0x4d7adc75aa578016 + .quad 0x0ec276a687479324 + .quad 0x6d6d9d5d1fda4beb + .quad 0x22b1a58ae9b08183 + .quad 0xfd95d071c15c388b + .quad 0xa9812376850a0517 + .quad 0x33384cbabb7f335e + + // 2^220 * 3 * B + + .quad 0x3c6fa2680ca2c7b5 + .quad 0x1b5082046fb64fda + .quad 0xeb53349c5431d6de + .quad 0x5278b38f6b879c89 + .quad 0x33bc627a26218b8d + .quad 0xea80b21fc7a80c61 + .quad 0x9458b12b173e9ee6 + .quad 0x076247be0e2f3059 + .quad 0x52e105f61416375a + .quad 0xec97af3685abeba4 + .quad 0x26e6b50623a67c36 + .quad 0x5cf0e856f3d4fb01 + + // 2^220 * 4 * B + + .quad 0xf6c968731ae8cab4 + .quad 0x5e20741ecb4f92c5 + .quad 0x2da53be58ccdbc3e + .quad 0x2dddfea269970df7 + .quad 0xbeaece313db342a8 + .quad 0xcba3635b842db7ee + .quad 0xe88c6620817f13ef + .quad 0x1b9438aa4e76d5c6 + .quad 0x8a50777e166f031a + .quad 0x067b39f10fb7a328 + .quad 0x1925c9a6010fbd76 + .quad 0x6df9b575cc740905 + + // 2^220 * 5 * B + + .quad 0x42c1192927f6bdcf + .quad 0x8f91917a403d61ca + .quad 0xdc1c5a668b9e1f61 + .quad 0x1596047804ec0f8d + .quad 0xecdfc35b48cade41 + .quad 0x6a88471fb2328270 + .quad 0x740a4a2440a01b6a + .quad 0x471e5796003b5f29 + .quad 0xda96bbb3aced37ac + .quad 0x7a2423b5e9208cea + .quad 0x24cc5c3038aebae2 + .quad 0x50c356afdc5dae2f + + // 2^220 * 6 * B + + .quad 0x09dcbf4341c30318 + .quad 0xeeba061183181dce + .quad 0xc179c0cedc1e29a1 + .quad 0x1dbf7b89073f35b0 + .quad 0xcfed9cdf1b31b964 + .quad 0xf486a9858ca51af3 + .quad 0x14897265ea8c1f84 + .quad 0x784a53dd932acc00 + .quad 0x2d99f9df14fc4920 + .quad 0x76ccb60cc4499fe5 + .quad 0xa4132cbbe5cf0003 + .quad 0x3f93d82354f000ea + + // 2^220 * 7 * B + + .quad 0x8183e7689e04ce85 + .quad 0x678fb71e04465341 + .quad 0xad92058f6688edac + .quad 0x5da350d3532b099a + .quad 0xeaac12d179e14978 + .quad 0xff923ff3bbebff5e + .quad 0x4af663e40663ce27 + .quad 0x0fd381a811a5f5ff + .quad 0xf256aceca436df54 + .quad 0x108b6168ae69d6e8 + .quad 0x20d986cb6b5d036c + .quad 0x655957b9fee2af50 + + // 2^220 * 8 * B + + .quad 0xaea8b07fa902030f + .quad 0xf88c766af463d143 + .quad 0x15b083663c787a60 + .quad 0x08eab1148267a4a8 + .quad 0xbdc1409bd002d0ac + .quad 0x66660245b5ccd9a6 + .quad 0x82317dc4fade85ec + .quad 0x02fe934b6ad7df0d + .quad 0xef5cf100cfb7ea74 + .quad 0x22897633a1cb42ac + .quad 0xd4ce0c54cef285e2 + .quad 0x30408c048a146a55 + + // 2^224 * 1 * B + + .quad 0x739d8845832fcedb + .quad 0xfa38d6c9ae6bf863 + .quad 0x32bc0dcab74ffef7 + .quad 0x73937e8814bce45e + .quad 0xbb2e00c9193b877f + .quad 0xece3a890e0dc506b + .quad 0xecf3b7c036de649f + .quad 0x5f46040898de9e1a + .quad 0xb9037116297bf48d + .quad 0xa9d13b22d4f06834 + .quad 0xe19715574696bdc6 + .quad 0x2cf8a4e891d5e835 + + // 2^224 * 2 * B + + .quad 0x6d93fd8707110f67 + .quad 0xdd4c09d37c38b549 + .quad 0x7cb16a4cc2736a86 + .quad 0x2049bd6e58252a09 + .quad 0x2cb5487e17d06ba2 + .quad 0x24d2381c3950196b + .quad 0xd7659c8185978a30 + .quad 0x7a6f7f2891d6a4f6 + .quad 0x7d09fd8d6a9aef49 + .quad 0xf0ee60be5b3db90b + .quad 0x4c21b52c519ebfd4 + .quad 0x6011aadfc545941d + + // 2^224 * 3 * B + + .quad 0x5f67926dcf95f83c + .quad 0x7c7e856171289071 + .quad 0xd6a1e7f3998f7a5b + .quad 0x6fc5cc1b0b62f9e0 + .quad 0x63ded0c802cbf890 + .quad 0xfbd098ca0dff6aaa + .quad 0x624d0afdb9b6ed99 + .quad 0x69ce18b779340b1e + .quad 0xd1ef5528b29879cb + .quad 0xdd1aae3cd47e9092 + .quad 0x127e0442189f2352 + .quad 0x15596b3ae57101f1 + + // 2^224 * 4 * B + + .quad 0x462739d23f9179a2 + .quad 0xff83123197d6ddcf + .quad 0x1307deb553f2148a + .quad 0x0d2237687b5f4dda + .quad 0x09ff31167e5124ca + .quad 0x0be4158bd9c745df + .quad 0x292b7d227ef556e5 + .quad 0x3aa4e241afb6d138 + .quad 0x2cc138bf2a3305f5 + .quad 0x48583f8fa2e926c3 + .quad 0x083ab1a25549d2eb + .quad 0x32fcaa6e4687a36c + + // 2^224 * 5 * B + + .quad 0x7bc56e8dc57d9af5 + .quad 0x3e0bd2ed9df0bdf2 + .quad 0xaac014de22efe4a3 + .quad 0x4627e9cefebd6a5c + .quad 0x3207a4732787ccdf + .quad 0x17e31908f213e3f8 + .quad 0xd5b2ecd7f60d964e + .quad 0x746f6336c2600be9 + .quad 0x3f4af345ab6c971c + .quad 0xe288eb729943731f + .quad 0x33596a8a0344186d + .quad 0x7b4917007ed66293 + + // 2^224 * 6 * B + + .quad 0x2d85fb5cab84b064 + .quad 0x497810d289f3bc14 + .quad 0x476adc447b15ce0c + .quad 0x122ba376f844fd7b + .quad 0x54341b28dd53a2dd + .quad 0xaa17905bdf42fc3f + .quad 0x0ff592d94dd2f8f4 + .quad 0x1d03620fe08cd37d + .quad 0xc20232cda2b4e554 + .quad 0x9ed0fd42115d187f + .quad 0x2eabb4be7dd479d9 + .quad 0x02c70bf52b68ec4c + + // 2^224 * 7 * B + + .quad 0xa287ec4b5d0b2fbb + .quad 0x415c5790074882ca + .quad 0xe044a61ec1d0815c + .quad 0x26334f0a409ef5e0 + .quad 0xace532bf458d72e1 + .quad 0x5be768e07cb73cb5 + .quad 0x56cf7d94ee8bbde7 + .quad 0x6b0697e3feb43a03 + .quad 0xb6c8f04adf62a3c0 + .quad 0x3ef000ef076da45d + .quad 0x9c9cb95849f0d2a9 + .quad 0x1cc37f43441b2fae + + // 2^224 * 8 * B + + .quad 0x508f565a5cc7324f + .quad 0xd061c4c0e506a922 + .quad 0xfb18abdb5c45ac19 + .quad 0x6c6809c10380314a + .quad 0xd76656f1c9ceaeb9 + .quad 0x1c5b15f818e5656a + .quad 0x26e72832844c2334 + .quad 0x3a346f772f196838 + .quad 0xd2d55112e2da6ac8 + .quad 0xe9bd0331b1e851ed + .quad 0x960746dd8ec67262 + .quad 0x05911b9f6ef7c5d0 + + // 2^228 * 1 * B + + .quad 0xe9dcd756b637ff2d + .quad 0xec4c348fc987f0c4 + .quad 0xced59285f3fbc7b7 + .quad 0x3305354793e1ea87 + .quad 0x01c18980c5fe9f94 + .quad 0xcd656769716fd5c8 + .quad 0x816045c3d195a086 + .quad 0x6e2b7f3266cc7982 + .quad 0xcc802468f7c3568f + .quad 0x9de9ba8219974cb3 + .quad 0xabb7229cb5b81360 + .quad 0x44e2017a6fbeba62 + + // 2^228 * 2 * B + + .quad 0xc4c2a74354dab774 + .quad 0x8e5d4c3c4eaf031a + .quad 0xb76c23d242838f17 + .quad 0x749a098f68dce4ea + .quad 0x87f82cf3b6ca6ecd + .quad 0x580f893e18f4a0c2 + .quad 0x058930072604e557 + .quad 0x6cab6ac256d19c1d + .quad 0xdcdfe0a02cc1de60 + .quad 0x032665ff51c5575b + .quad 0x2c0c32f1073abeeb + .quad 0x6a882014cd7b8606 + + // 2^228 * 3 * B + + .quad 0xa52a92fea4747fb5 + .quad 0xdc12a4491fa5ab89 + .quad 0xd82da94bb847a4ce + .quad 0x4d77edce9512cc4e + .quad 0xd111d17caf4feb6e + .quad 0x050bba42b33aa4a3 + .quad 0x17514c3ceeb46c30 + .quad 0x54bedb8b1bc27d75 + .quad 0x77c8e14577e2189c + .quad 0xa3e46f6aff99c445 + .quad 0x3144dfc86d335343 + .quad 0x3a96559e7c4216a9 + + // 2^228 * 4 * B + + .quad 0x12550d37f42ad2ee + .quad 0x8b78e00498a1fbf5 + .quad 0x5d53078233894cb2 + .quad 0x02c84e4e3e498d0c + .quad 0x4493896880baaa52 + .quad 0x4c98afc4f285940e + .quad 0xef4aa79ba45448b6 + .quad 0x5278c510a57aae7f + .quad 0xa54dd074294c0b94 + .quad 0xf55d46b8df18ffb6 + .quad 0xf06fecc58dae8366 + .quad 0x588657668190d165 + + // 2^228 * 5 * B + + .quad 0xd47712311aef7117 + .quad 0x50343101229e92c7 + .quad 0x7a95e1849d159b97 + .quad 0x2449959b8b5d29c9 + .quad 0xbf5834f03de25cc3 + .quad 0xb887c8aed6815496 + .quad 0x5105221a9481e892 + .quad 0x6760ed19f7723f93 + .quad 0x669ba3b7ac35e160 + .quad 0x2eccf73fba842056 + .quad 0x1aec1f17c0804f07 + .quad 0x0d96bc031856f4e7 + + // 2^228 * 6 * B + + .quad 0x3318be7775c52d82 + .quad 0x4cb764b554d0aab9 + .quad 0xabcf3d27cc773d91 + .quad 0x3bf4d1848123288a + .quad 0xb1d534b0cc7505e1 + .quad 0x32cd003416c35288 + .quad 0xcb36a5800762c29d + .quad 0x5bfe69b9237a0bf8 + .quad 0x183eab7e78a151ab + .quad 0xbbe990c999093763 + .quad 0xff717d6e4ac7e335 + .quad 0x4c5cddb325f39f88 + + // 2^228 * 7 * B + + .quad 0xc0f6b74d6190a6eb + .quad 0x20ea81a42db8f4e4 + .quad 0xa8bd6f7d97315760 + .quad 0x33b1d60262ac7c21 + .quad 0x57750967e7a9f902 + .quad 0x2c37fdfc4f5b467e + .quad 0xb261663a3177ba46 + .quad 0x3a375e78dc2d532b + .quad 0x8141e72f2d4dddea + .quad 0xe6eafe9862c607c8 + .quad 0x23c28458573cafd0 + .quad 0x46b9476f4ff97346 + + // 2^228 * 8 * B + + .quad 0x0c1ffea44f901e5c + .quad 0x2b0b6fb72184b782 + .quad 0xe587ff910114db88 + .quad 0x37130f364785a142 + .quad 0x1215505c0d58359f + .quad 0x2a2013c7fc28c46b + .quad 0x24a0a1af89ea664e + .quad 0x4400b638a1130e1f + .quad 0x3a01b76496ed19c3 + .quad 0x31e00ab0ed327230 + .quad 0x520a885783ca15b1 + .quad 0x06aab9875accbec7 + + // 2^232 * 1 * B + + .quad 0xc1339983f5df0ebb + .quad 0xc0f3758f512c4cac + .quad 0x2cf1130a0bb398e1 + .quad 0x6b3cecf9aa270c62 + .quad 0x5349acf3512eeaef + .quad 0x20c141d31cc1cb49 + .quad 0x24180c07a99a688d + .quad 0x555ef9d1c64b2d17 + .quad 0x36a770ba3b73bd08 + .quad 0x624aef08a3afbf0c + .quad 0x5737ff98b40946f2 + .quad 0x675f4de13381749d + + // 2^232 * 2 * B + + .quad 0x0e2c52036b1782fc + .quad 0x64816c816cad83b4 + .quad 0xd0dcbdd96964073e + .quad 0x13d99df70164c520 + .quad 0xa12ff6d93bdab31d + .quad 0x0725d80f9d652dfe + .quad 0x019c4ff39abe9487 + .quad 0x60f450b882cd3c43 + .quad 0x014b5ec321e5c0ca + .quad 0x4fcb69c9d719bfa2 + .quad 0x4e5f1c18750023a0 + .quad 0x1c06de9e55edac80 + + // 2^232 * 3 * B + + .quad 0x990f7ad6a33ec4e2 + .quad 0x6608f938be2ee08e + .quad 0x9ca143c563284515 + .quad 0x4cf38a1fec2db60d + .quad 0xffd52b40ff6d69aa + .quad 0x34530b18dc4049bb + .quad 0x5e4a5c2fa34d9897 + .quad 0x78096f8e7d32ba2d + .quad 0xa0aaaa650dfa5ce7 + .quad 0xf9c49e2a48b5478c + .quad 0x4f09cc7d7003725b + .quad 0x373cad3a26091abe + + // 2^232 * 4 * B + + .quad 0xb294634d82c9f57c + .quad 0x1fcbfde124934536 + .quad 0x9e9c4db3418cdb5a + .quad 0x0040f3d9454419fc + .quad 0xf1bea8fb89ddbbad + .quad 0x3bcb2cbc61aeaecb + .quad 0x8f58a7bb1f9b8d9d + .quad 0x21547eda5112a686 + .quad 0xdefde939fd5986d3 + .quad 0xf4272c89510a380c + .quad 0xb72ba407bb3119b9 + .quad 0x63550a334a254df4 + + // 2^232 * 5 * B + + .quad 0x6507d6edb569cf37 + .quad 0x178429b00ca52ee1 + .quad 0xea7c0090eb6bd65d + .quad 0x3eea62c7daf78f51 + .quad 0x9bba584572547b49 + .quad 0xf305c6fae2c408e0 + .quad 0x60e8fa69c734f18d + .quad 0x39a92bafaa7d767a + .quad 0x9d24c713e693274e + .quad 0x5f63857768dbd375 + .quad 0x70525560eb8ab39a + .quad 0x68436a0665c9c4cd + + // 2^232 * 6 * B + + .quad 0xbc0235e8202f3f27 + .quad 0xc75c00e264f975b0 + .quad 0x91a4e9d5a38c2416 + .quad 0x17b6e7f68ab789f9 + .quad 0x1e56d317e820107c + .quad 0xc5266844840ae965 + .quad 0xc1e0a1c6320ffc7a + .quad 0x5373669c91611472 + .quad 0x5d2814ab9a0e5257 + .quad 0x908f2084c9cab3fc + .quad 0xafcaf5885b2d1eca + .quad 0x1cb4b5a678f87d11 + + // 2^232 * 7 * B + + .quad 0xb664c06b394afc6c + .quad 0x0c88de2498da5fb1 + .quad 0x4f8d03164bcad834 + .quad 0x330bca78de7434a2 + .quad 0x6b74aa62a2a007e7 + .quad 0xf311e0b0f071c7b1 + .quad 0x5707e438000be223 + .quad 0x2dc0fd2d82ef6eac + .quad 0x982eff841119744e + .quad 0xf9695e962b074724 + .quad 0xc58ac14fbfc953fb + .quad 0x3c31be1b369f1cf5 + + // 2^232 * 8 * B + + .quad 0xb0f4864d08948aee + .quad 0x07dc19ee91ba1c6f + .quad 0x7975cdaea6aca158 + .quad 0x330b61134262d4bb + .quad 0xc168bc93f9cb4272 + .quad 0xaeb8711fc7cedb98 + .quad 0x7f0e52aa34ac8d7a + .quad 0x41cec1097e7d55bb + .quad 0xf79619d7a26d808a + .quad 0xbb1fd49e1d9e156d + .quad 0x73d7c36cdba1df27 + .quad 0x26b44cd91f28777d + + // 2^236 * 1 * B + + .quad 0x300a9035393aa6d8 + .quad 0x2b501131a12bb1cd + .quad 0x7b1ff677f093c222 + .quad 0x4309c1f8cab82bad + .quad 0xaf44842db0285f37 + .quad 0x8753189047efc8df + .quad 0x9574e091f820979a + .quad 0x0e378d6069615579 + .quad 0xd9fa917183075a55 + .quad 0x4bdb5ad26b009fdc + .quad 0x7829ad2cd63def0e + .quad 0x078fc54975fd3877 + + // 2^236 * 2 * B + + .quad 0x87dfbd1428878f2d + .quad 0x134636dd1e9421a1 + .quad 0x4f17c951257341a3 + .quad 0x5df98d4bad296cb8 + .quad 0xe2004b5bb833a98a + .quad 0x44775dec2d4c3330 + .quad 0x3aa244067eace913 + .quad 0x272630e3d58e00a9 + .quad 0xf3678fd0ecc90b54 + .quad 0xf001459b12043599 + .quad 0x26725fbc3758b89b + .quad 0x4325e4aa73a719ae + + // 2^236 * 3 * B + + .quad 0x657dc6ef433c3493 + .quad 0x65375e9f80dbf8c3 + .quad 0x47fd2d465b372dae + .quad 0x4966ab79796e7947 + .quad 0xed24629acf69f59d + .quad 0x2a4a1ccedd5abbf4 + .quad 0x3535ca1f56b2d67b + .quad 0x5d8c68d043b1b42d + .quad 0xee332d4de3b42b0a + .quad 0xd84e5a2b16a4601c + .quad 0x78243877078ba3e4 + .quad 0x77ed1eb4184ee437 + + // 2^236 * 4 * B + + .quad 0xbfd4e13f201839a0 + .quad 0xaeefffe23e3df161 + .quad 0xb65b04f06b5d1fe3 + .quad 0x52e085fb2b62fbc0 + .quad 0x185d43f89e92ed1a + .quad 0xb04a1eeafe4719c6 + .quad 0x499fbe88a6f03f4f + .quad 0x5d8b0d2f3c859bdd + .quad 0x124079eaa54cf2ba + .quad 0xd72465eb001b26e7 + .quad 0x6843bcfdc97af7fd + .quad 0x0524b42b55eacd02 + + // 2^236 * 5 * B + + .quad 0xfd0d5dbee45447b0 + .quad 0x6cec351a092005ee + .quad 0x99a47844567579cb + .quad 0x59d242a216e7fa45 + .quad 0xbc18dcad9b829eac + .quad 0x23ae7d28b5f579d0 + .quad 0xc346122a69384233 + .quad 0x1a6110b2e7d4ac89 + .quad 0x4f833f6ae66997ac + .quad 0x6849762a361839a4 + .quad 0x6985dec1970ab525 + .quad 0x53045e89dcb1f546 + + // 2^236 * 6 * B + + .quad 0xcb8bb346d75353db + .quad 0xfcfcb24bae511e22 + .quad 0xcba48d40d50ae6ef + .quad 0x26e3bae5f4f7cb5d + .quad 0x84da3cde8d45fe12 + .quad 0xbd42c218e444e2d2 + .quad 0xa85196781f7e3598 + .quad 0x7642c93f5616e2b2 + .quad 0x2323daa74595f8e4 + .quad 0xde688c8b857abeb4 + .quad 0x3fc48e961c59326e + .quad 0x0b2e73ca15c9b8ba + + // 2^236 * 7 * B + + .quad 0xd6bb4428c17f5026 + .quad 0x9eb27223fb5a9ca7 + .quad 0xe37ba5031919c644 + .quad 0x21ce380db59a6602 + .quad 0x0e3fbfaf79c03a55 + .quad 0x3077af054cbb5acf + .quad 0xd5c55245db3de39f + .quad 0x015e68c1476a4af7 + .quad 0xc1d5285220066a38 + .quad 0x95603e523570aef3 + .quad 0x832659a7226b8a4d + .quad 0x5dd689091f8eedc9 + + // 2^236 * 8 * B + + .quad 0xcbac84debfd3c856 + .quad 0x1624c348b35ff244 + .quad 0xb7f88dca5d9cad07 + .quad 0x3b0e574da2c2ebe8 + .quad 0x1d022591a5313084 + .quad 0xca2d4aaed6270872 + .quad 0x86a12b852f0bfd20 + .quad 0x56e6c439ad7da748 + .quad 0xc704ff4942bdbae6 + .quad 0x5e21ade2b2de1f79 + .quad 0xe95db3f35652fad8 + .quad 0x0822b5378f08ebc1 + + // 2^240 * 1 * B + + .quad 0x51f048478f387475 + .quad 0xb25dbcf49cbecb3c + .quad 0x9aab1244d99f2055 + .quad 0x2c709e6c1c10a5d6 + .quad 0xe1b7f29362730383 + .quad 0x4b5279ffebca8a2c + .quad 0xdafc778abfd41314 + .quad 0x7deb10149c72610f + .quad 0xcb62af6a8766ee7a + .quad 0x66cbec045553cd0e + .quad 0x588001380f0be4b5 + .quad 0x08e68e9ff62ce2ea + + // 2^240 * 2 * B + + .quad 0x34ad500a4bc130ad + .quad 0x8d38db493d0bd49c + .quad 0xa25c3d98500a89be + .quad 0x2f1f3f87eeba3b09 + .quad 0x2f2d09d50ab8f2f9 + .quad 0xacb9218dc55923df + .quad 0x4a8f342673766cb9 + .quad 0x4cb13bd738f719f5 + .quad 0xf7848c75e515b64a + .quad 0xa59501badb4a9038 + .quad 0xc20d313f3f751b50 + .quad 0x19a1e353c0ae2ee8 + + // 2^240 * 3 * B + + .quad 0x7d1c7560bafa05c3 + .quad 0xb3e1a0a0c6e55e61 + .quad 0xe3529718c0d66473 + .quad 0x41546b11c20c3486 + .quad 0xb42172cdd596bdbd + .quad 0x93e0454398eefc40 + .quad 0x9fb15347b44109b5 + .quad 0x736bd3990266ae34 + .quad 0x85532d509334b3b4 + .quad 0x46fd114b60816573 + .quad 0xcc5f5f30425c8375 + .quad 0x412295a2b87fab5c + + // 2^240 * 4 * B + + .quad 0x19c99b88f57ed6e9 + .quad 0x5393cb266df8c825 + .quad 0x5cee3213b30ad273 + .quad 0x14e153ebb52d2e34 + .quad 0x2e655261e293eac6 + .quad 0x845a92032133acdb + .quad 0x460975cb7900996b + .quad 0x0760bb8d195add80 + .quad 0x413e1a17cde6818a + .quad 0x57156da9ed69a084 + .quad 0x2cbf268f46caccb1 + .quad 0x6b34be9bc33ac5f2 + + // 2^240 * 5 * B + + .quad 0xf3df2f643a78c0b2 + .quad 0x4c3e971ef22e027c + .quad 0xec7d1c5e49c1b5a3 + .quad 0x2012c18f0922dd2d + .quad 0x11fc69656571f2d3 + .quad 0xc6c9e845530e737a + .quad 0xe33ae7a2d4fe5035 + .quad 0x01b9c7b62e6dd30b + .quad 0x880b55e55ac89d29 + .quad 0x1483241f45a0a763 + .quad 0x3d36efdfc2e76c1f + .quad 0x08af5b784e4bade8 + + // 2^240 * 6 * B + + .quad 0x283499dc881f2533 + .quad 0x9d0525da779323b6 + .quad 0x897addfb673441f4 + .quad 0x32b79d71163a168d + .quad 0xe27314d289cc2c4b + .quad 0x4be4bd11a287178d + .quad 0x18d528d6fa3364ce + .quad 0x6423c1d5afd9826e + .quad 0xcc85f8d9edfcb36a + .quad 0x22bcc28f3746e5f9 + .quad 0xe49de338f9e5d3cd + .quad 0x480a5efbc13e2dcc + + // 2^240 * 7 * B + + .quad 0x0b51e70b01622071 + .quad 0x06b505cf8b1dafc5 + .quad 0x2c6bb061ef5aabcd + .quad 0x47aa27600cb7bf31 + .quad 0xb6614ce442ce221f + .quad 0x6e199dcc4c053928 + .quad 0x663fb4a4dc1cbe03 + .quad 0x24b31d47691c8e06 + .quad 0x2a541eedc015f8c3 + .quad 0x11a4fe7e7c693f7c + .quad 0xf0af66134ea278d6 + .quad 0x545b585d14dda094 + + // 2^240 * 8 * B + + .quad 0x67bf275ea0d43a0f + .quad 0xade68e34089beebe + .quad 0x4289134cd479e72e + .quad 0x0f62f9c332ba5454 + .quad 0x6204e4d0e3b321e1 + .quad 0x3baa637a28ff1e95 + .quad 0x0b0ccffd5b99bd9e + .quad 0x4d22dc3e64c8d071 + .quad 0xfcb46589d63b5f39 + .quad 0x5cae6a3f57cbcf61 + .quad 0xfebac2d2953afa05 + .quad 0x1c0fa01a36371436 + + // 2^244 * 1 * B + + .quad 0xe7547449bc7cd692 + .quad 0x0f9abeaae6f73ddf + .quad 0x4af01ca700837e29 + .quad 0x63ab1b5d3f1bc183 + .quad 0xc11ee5e854c53fae + .quad 0x6a0b06c12b4f3ff4 + .quad 0x33540f80e0b67a72 + .quad 0x15f18fc3cd07e3ef + .quad 0x32750763b028f48c + .quad 0x06020740556a065f + .quad 0xd53bd812c3495b58 + .quad 0x08706c9b865f508d + + // 2^244 * 2 * B + + .quad 0xf37ca2ab3d343dff + .quad 0x1a8c6a2d80abc617 + .quad 0x8e49e035d4ccffca + .quad 0x48b46beebaa1d1b9 + .quad 0xcc991b4138b41246 + .quad 0x243b9c526f9ac26b + .quad 0xb9ef494db7cbabbd + .quad 0x5fba433dd082ed00 + .quad 0x9c49e355c9941ad0 + .quad 0xb9734ade74498f84 + .quad 0x41c3fed066663e5c + .quad 0x0ecfedf8e8e710b3 + + // 2^244 * 3 * B + + .quad 0x76430f9f9cd470d9 + .quad 0xb62acc9ba42f6008 + .quad 0x1898297c59adad5e + .quad 0x7789dd2db78c5080 + .quad 0x744f7463e9403762 + .quad 0xf79a8dee8dfcc9c9 + .quad 0x163a649655e4cde3 + .quad 0x3b61788db284f435 + .quad 0xb22228190d6ef6b2 + .quad 0xa94a66b246ce4bfa + .quad 0x46c1a77a4f0b6cc7 + .quad 0x4236ccffeb7338cf + + // 2^244 * 4 * B + + .quad 0x8497404d0d55e274 + .quad 0x6c6663d9c4ad2b53 + .quad 0xec2fb0d9ada95734 + .quad 0x2617e120cdb8f73c + .quad 0x3bd82dbfda777df6 + .quad 0x71b177cc0b98369e + .quad 0x1d0e8463850c3699 + .quad 0x5a71945b48e2d1f1 + .quad 0x6f203dd5405b4b42 + .quad 0x327ec60410b24509 + .quad 0x9c347230ac2a8846 + .quad 0x77de29fc11ffeb6a + + // 2^244 * 5 * B + + .quad 0xb0ac57c983b778a8 + .quad 0x53cdcca9d7fe912c + .quad 0x61c2b854ff1f59dc + .quad 0x3a1a2cf0f0de7dac + .quad 0x835e138fecced2ca + .quad 0x8c9eaf13ea963b9a + .quad 0xc95fbfc0b2160ea6 + .quad 0x575e66f3ad877892 + .quad 0x99803a27c88fcb3a + .quad 0x345a6789275ec0b0 + .quad 0x459789d0ff6c2be5 + .quad 0x62f882651e70a8b2 + + // 2^244 * 6 * B + + .quad 0x085ae2c759ff1be4 + .quad 0x149145c93b0e40b7 + .quad 0xc467e7fa7ff27379 + .quad 0x4eeecf0ad5c73a95 + .quad 0x6d822986698a19e0 + .quad 0xdc9821e174d78a71 + .quad 0x41a85f31f6cb1f47 + .quad 0x352721c2bcda9c51 + .quad 0x48329952213fc985 + .quad 0x1087cf0d368a1746 + .quad 0x8e5261b166c15aa5 + .quad 0x2d5b2d842ed24c21 + + // 2^244 * 7 * B + + .quad 0x02cfebd9ebd3ded1 + .quad 0xd45b217739021974 + .quad 0x7576f813fe30a1b7 + .quad 0x5691b6f9a34ef6c2 + .quad 0x5eb7d13d196ac533 + .quad 0x377234ecdb80be2b + .quad 0xe144cffc7cf5ae24 + .quad 0x5226bcf9c441acec + .quad 0x79ee6c7223e5b547 + .quad 0x6f5f50768330d679 + .quad 0xed73e1e96d8adce9 + .quad 0x27c3da1e1d8ccc03 + + // 2^244 * 8 * B + + .quad 0x7eb9efb23fe24c74 + .quad 0x3e50f49f1651be01 + .quad 0x3ea732dc21858dea + .quad 0x17377bd75bb810f9 + .quad 0x28302e71630ef9f6 + .quad 0xc2d4a2032b64cee0 + .quad 0x090820304b6292be + .quad 0x5fca747aa82adf18 + .quad 0x232a03c35c258ea5 + .quad 0x86f23a2c6bcb0cf1 + .quad 0x3dad8d0d2e442166 + .quad 0x04a8933cab76862b + + // 2^248 * 1 * B + + .quad 0xd2c604b622943dff + .quad 0xbc8cbece44cfb3a0 + .quad 0x5d254ff397808678 + .quad 0x0fa3614f3b1ca6bf + .quad 0x69082b0e8c936a50 + .quad 0xf9c9a035c1dac5b6 + .quad 0x6fb73e54c4dfb634 + .quad 0x4005419b1d2bc140 + .quad 0xa003febdb9be82f0 + .quad 0x2089c1af3a44ac90 + .quad 0xf8499f911954fa8e + .quad 0x1fba218aef40ab42 + + // 2^248 * 2 * B + + .quad 0xab549448fac8f53e + .quad 0x81f6e89a7ba63741 + .quad 0x74fd6c7d6c2b5e01 + .quad 0x392e3acaa8c86e42 + .quad 0x4f3e57043e7b0194 + .quad 0xa81d3eee08daaf7f + .quad 0xc839c6ab99dcdef1 + .quad 0x6c535d13ff7761d5 + .quad 0x4cbd34e93e8a35af + .quad 0x2e0781445887e816 + .quad 0x19319c76f29ab0ab + .quad 0x25e17fe4d50ac13b + + // 2^248 * 3 * B + + .quad 0x0a289bd71e04f676 + .quad 0x208e1c52d6420f95 + .quad 0x5186d8b034691fab + .quad 0x255751442a9fb351 + .quad 0x915f7ff576f121a7 + .quad 0xc34a32272fcd87e3 + .quad 0xccba2fde4d1be526 + .quad 0x6bba828f8969899b + .quad 0xe2d1bc6690fe3901 + .quad 0x4cb54a18a0997ad5 + .quad 0x971d6914af8460d4 + .quad 0x559d504f7f6b7be4 + + // 2^248 * 4 * B + + .quad 0xa7738378b3eb54d5 + .quad 0x1d69d366a5553c7c + .quad 0x0a26cf62f92800ba + .quad 0x01ab12d5807e3217 + .quad 0x9c4891e7f6d266fd + .quad 0x0744a19b0307781b + .quad 0x88388f1d6061e23b + .quad 0x123ea6a3354bd50e + .quad 0x118d189041e32d96 + .quad 0xb9ede3c2d8315848 + .quad 0x1eab4271d83245d9 + .quad 0x4a3961e2c918a154 + + // 2^248 * 5 * B + + .quad 0x71dc3be0f8e6bba0 + .quad 0xd6cef8347effe30a + .quad 0xa992425fe13a476a + .quad 0x2cd6bce3fb1db763 + .quad 0x0327d644f3233f1e + .quad 0x499a260e34fcf016 + .quad 0x83b5a716f2dab979 + .quad 0x68aceead9bd4111f + .quad 0x38b4c90ef3d7c210 + .quad 0x308e6e24b7ad040c + .quad 0x3860d9f1b7e73e23 + .quad 0x595760d5b508f597 + + // 2^248 * 6 * B + + .quad 0x6129bfe104aa6397 + .quad 0x8f960008a4a7fccb + .quad 0x3f8bc0897d909458 + .quad 0x709fa43edcb291a9 + .quad 0x882acbebfd022790 + .quad 0x89af3305c4115760 + .quad 0x65f492e37d3473f4 + .quad 0x2cb2c5df54515a2b + .quad 0xeb0a5d8c63fd2aca + .quad 0xd22bc1662e694eff + .quad 0x2723f36ef8cbb03a + .quad 0x70f029ecf0c8131f + + // 2^248 * 7 * B + + .quad 0x461307b32eed3e33 + .quad 0xae042f33a45581e7 + .quad 0xc94449d3195f0366 + .quad 0x0b7d5d8a6c314858 + .quad 0x2a6aafaa5e10b0b9 + .quad 0x78f0a370ef041aa9 + .quad 0x773efb77aa3ad61f + .quad 0x44eca5a2a74bd9e1 + .quad 0x25d448327b95d543 + .quad 0x70d38300a3340f1d + .quad 0xde1c531c60e1c52b + .quad 0x272224512c7de9e4 + + // 2^248 * 8 * B + + .quad 0x1abc92af49c5342e + .quad 0xffeed811b2e6fad0 + .quad 0xefa28c8dfcc84e29 + .quad 0x11b5df18a44cc543 + .quad 0xbf7bbb8a42a975fc + .quad 0x8c5c397796ada358 + .quad 0xe27fc76fcdedaa48 + .quad 0x19735fd7f6bc20a6 + .quad 0xe3ab90d042c84266 + .quad 0xeb848e0f7f19547e + .quad 0x2503a1d065a497b9 + .quad 0x0fef911191df895f diff --git a/cbits/s2n/arm/edwards25519_scalarmulbase_alt.S b/cbits/s2n/arm/edwards25519_scalarmulbase_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/edwards25519_scalarmulbase_alt.S @@ -0,0 +1,9477 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Scalar multiplication for the edwards25519 standard basepoint +// Input scalar[4]; output res[8] +// +// extern void edwards25519_scalarmulbase_alt +// (uint64_t res[static 8],const uint64_t scalar[static 4]); +// +// Given a scalar n, returns point (X,Y) = n * B where B = (...,4/5) is +// the standard basepoint for the edwards25519 (Ed25519) curve. +// +// Standard ARM ABI: X0 = res, X1 = scalar +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(edwards25519_scalarmulbase_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(edwards25519_scalarmulbase_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(edwards25519_scalarmulbase_alt) + + .text + .balign 4 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Stable home for the input result argument during the whole body + +#define res x23 + +// Other variables that are only needed prior to the modular inverse. + +#define tab x19 + +#define i x20 + +#define bias x21 + +#define bf x22 +#define ix x22 + +// Pointer-offset pairs for result and temporaries on stack with some aliasing. + +#define resx res, #(0*NUMSIZE) +#define resy res, #(1*NUMSIZE) + +#define scalar sp, #(0*NUMSIZE) + +#define tabent sp, #(1*NUMSIZE) +#define ymx_2 sp, #(1*NUMSIZE) +#define xpy_2 sp, #(2*NUMSIZE) +#define kxy_2 sp, #(3*NUMSIZE) + +#define acc sp, #(4*NUMSIZE) +#define x_1 sp, #(4*NUMSIZE) +#define y_1 sp, #(5*NUMSIZE) +#define z_1 sp, #(6*NUMSIZE) +#define w_1 sp, #(7*NUMSIZE) +#define x_3 sp, #(4*NUMSIZE) +#define y_3 sp, #(5*NUMSIZE) +#define z_3 sp, #(6*NUMSIZE) +#define w_3 sp, #(7*NUMSIZE) + +#define tmpspace sp, #(8*NUMSIZE) +#define t0 sp, #(8*NUMSIZE) +#define t1 sp, #(9*NUMSIZE) +#define t2 sp, #(10*NUMSIZE) +#define t3 sp, #(11*NUMSIZE) +#define t4 sp, #(12*NUMSIZE) +#define t5 sp, #(13*NUMSIZE) + +// Total size to reserve on the stack + +#define NSPACE 14*NUMSIZE + +// Load 64-bit immediate into a register + +#define movbig(nn,n3,n2,n1,n0) \ + movz nn, n0 __LF \ + movk nn, n1, lsl #16 __LF \ + movk nn, n2, lsl #32 __LF \ + movk nn, n3, lsl #48 + +// Macro wrapping up the basic field operation bignum_mul_p25519_alt, only +// trivially different from a pure function call to that subroutine. + +#define mul_p25519(P0,P1,P2) \ + ldp x3, x4, [P1] __LF \ + ldp x7, x8, [P2] __LF \ + mul x12, x3, x7 __LF \ + umulh x13, x3, x7 __LF \ + mul x11, x3, x8 __LF \ + umulh x14, x3, x8 __LF \ + adds x13, x13, x11 __LF \ + ldp x9, x10, [P2+16] __LF \ + mul x11, x3, x9 __LF \ + umulh x15, x3, x9 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x3, x10 __LF \ + umulh x16, x3, x10 __LF \ + adcs x15, x15, x11 __LF \ + adc x16, x16, xzr __LF \ + ldp x5, x6, [P1+16] __LF \ + mul x11, x4, x7 __LF \ + adds x13, x13, x11 __LF \ + mul x11, x4, x8 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x4, x9 __LF \ + adcs x15, x15, x11 __LF \ + mul x11, x4, x10 __LF \ + adcs x16, x16, x11 __LF \ + umulh x3, x4, x10 __LF \ + adc x3, x3, xzr __LF \ + umulh x11, x4, x7 __LF \ + adds x14, x14, x11 __LF \ + umulh x11, x4, x8 __LF \ + adcs x15, x15, x11 __LF \ + umulh x11, x4, x9 __LF \ + adcs x16, x16, x11 __LF \ + adc x3, x3, xzr __LF \ + mul x11, x5, x7 __LF \ + adds x14, x14, x11 __LF \ + mul x11, x5, x8 __LF \ + adcs x15, x15, x11 __LF \ + mul x11, x5, x9 __LF \ + adcs x16, x16, x11 __LF \ + mul x11, x5, x10 __LF \ + adcs x3, x3, x11 __LF \ + umulh x4, x5, x10 __LF \ + adc x4, x4, xzr __LF \ + umulh x11, x5, x7 __LF \ + adds x15, x15, x11 __LF \ + umulh x11, x5, x8 __LF \ + adcs x16, x16, x11 __LF \ + umulh x11, x5, x9 __LF \ + adcs x3, x3, x11 __LF \ + adc x4, x4, xzr __LF \ + mul x11, x6, x7 __LF \ + adds x15, x15, x11 __LF \ + mul x11, x6, x8 __LF \ + adcs x16, x16, x11 __LF \ + mul x11, x6, x9 __LF \ + adcs x3, x3, x11 __LF \ + mul x11, x6, x10 __LF \ + adcs x4, x4, x11 __LF \ + umulh x5, x6, x10 __LF \ + adc x5, x5, xzr __LF \ + umulh x11, x6, x7 __LF \ + adds x16, x16, x11 __LF \ + umulh x11, x6, x8 __LF \ + adcs x3, x3, x11 __LF \ + umulh x11, x6, x9 __LF \ + adcs x4, x4, x11 __LF \ + adc x5, x5, xzr __LF \ + mov x7, #0x26 __LF \ + mul x11, x7, x16 __LF \ + umulh x9, x7, x16 __LF \ + adds x12, x12, x11 __LF \ + mul x11, x7, x3 __LF \ + umulh x3, x7, x3 __LF \ + adcs x13, x13, x11 __LF \ + mul x11, x7, x4 __LF \ + umulh x4, x7, x4 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x7, x5 __LF \ + umulh x5, x7, x5 __LF \ + adcs x15, x15, x11 __LF \ + cset x16, cs __LF \ + adds x15, x15, x4 __LF \ + adc x16, x16, x5 __LF \ + cmn x15, x15 __LF \ + orr x15, x15, #0x8000000000000000 __LF \ + adc x8, x16, x16 __LF \ + mov x7, #0x13 __LF \ + madd x11, x7, x8, x7 __LF \ + adds x12, x12, x11 __LF \ + adcs x13, x13, x9 __LF \ + adcs x14, x14, x3 __LF \ + adcs x15, x15, xzr __LF \ + csel x7, x7, xzr, cc __LF \ + subs x12, x12, x7 __LF \ + sbcs x13, x13, xzr __LF \ + sbcs x14, x14, xzr __LF \ + sbc x15, x15, xzr __LF \ + and x15, x15, #0x7fffffffffffffff __LF \ + stp x12, x13, [P0] __LF \ + stp x14, x15, [P0+16] + +// A version of multiplication that only guarantees output < 2 * p_25519. +// This basically skips the +1 and final correction in quotient estimation. + +#define mul_4(P0,P1,P2) \ + ldp x3, x4, [P1] __LF \ + ldp x7, x8, [P2] __LF \ + mul x12, x3, x7 __LF \ + umulh x13, x3, x7 __LF \ + mul x11, x3, x8 __LF \ + umulh x14, x3, x8 __LF \ + adds x13, x13, x11 __LF \ + ldp x9, x10, [P2+16] __LF \ + mul x11, x3, x9 __LF \ + umulh x15, x3, x9 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x3, x10 __LF \ + umulh x16, x3, x10 __LF \ + adcs x15, x15, x11 __LF \ + adc x16, x16, xzr __LF \ + ldp x5, x6, [P1+16] __LF \ + mul x11, x4, x7 __LF \ + adds x13, x13, x11 __LF \ + mul x11, x4, x8 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x4, x9 __LF \ + adcs x15, x15, x11 __LF \ + mul x11, x4, x10 __LF \ + adcs x16, x16, x11 __LF \ + umulh x3, x4, x10 __LF \ + adc x3, x3, xzr __LF \ + umulh x11, x4, x7 __LF \ + adds x14, x14, x11 __LF \ + umulh x11, x4, x8 __LF \ + adcs x15, x15, x11 __LF \ + umulh x11, x4, x9 __LF \ + adcs x16, x16, x11 __LF \ + adc x3, x3, xzr __LF \ + mul x11, x5, x7 __LF \ + adds x14, x14, x11 __LF \ + mul x11, x5, x8 __LF \ + adcs x15, x15, x11 __LF \ + mul x11, x5, x9 __LF \ + adcs x16, x16, x11 __LF \ + mul x11, x5, x10 __LF \ + adcs x3, x3, x11 __LF \ + umulh x4, x5, x10 __LF \ + adc x4, x4, xzr __LF \ + umulh x11, x5, x7 __LF \ + adds x15, x15, x11 __LF \ + umulh x11, x5, x8 __LF \ + adcs x16, x16, x11 __LF \ + umulh x11, x5, x9 __LF \ + adcs x3, x3, x11 __LF \ + adc x4, x4, xzr __LF \ + mul x11, x6, x7 __LF \ + adds x15, x15, x11 __LF \ + mul x11, x6, x8 __LF \ + adcs x16, x16, x11 __LF \ + mul x11, x6, x9 __LF \ + adcs x3, x3, x11 __LF \ + mul x11, x6, x10 __LF \ + adcs x4, x4, x11 __LF \ + umulh x5, x6, x10 __LF \ + adc x5, x5, xzr __LF \ + umulh x11, x6, x7 __LF \ + adds x16, x16, x11 __LF \ + umulh x11, x6, x8 __LF \ + adcs x3, x3, x11 __LF \ + umulh x11, x6, x9 __LF \ + adcs x4, x4, x11 __LF \ + adc x5, x5, xzr __LF \ + mov x7, #0x26 __LF \ + mul x11, x7, x16 __LF \ + umulh x9, x7, x16 __LF \ + adds x12, x12, x11 __LF \ + mul x11, x7, x3 __LF \ + umulh x3, x7, x3 __LF \ + adcs x13, x13, x11 __LF \ + mul x11, x7, x4 __LF \ + umulh x4, x7, x4 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x7, x5 __LF \ + umulh x5, x7, x5 __LF \ + adcs x15, x15, x11 __LF \ + cset x16, cs __LF \ + adds x15, x15, x4 __LF \ + adc x16, x16, x5 __LF \ + cmn x15, x15 __LF \ + bic x15, x15, #0x8000000000000000 __LF \ + adc x8, x16, x16 __LF \ + mov x7, #0x13 __LF \ + mul x11, x7, x8 __LF \ + adds x12, x12, x11 __LF \ + adcs x13, x13, x9 __LF \ + adcs x14, x14, x3 __LF \ + adc x15, x15, xzr __LF \ + stp x12, x13, [P0] __LF \ + stp x14, x15, [P0+16] + +// Modular subtraction with double modulus 2 * p_25519 = 2^256 - 38 + +#define sub_twice4(P0,P1,P2) \ + ldp x5, x6, [P1] __LF \ + ldp x4, x3, [P2] __LF \ + subs x5, x5, x4 __LF \ + sbcs x6, x6, x3 __LF \ + ldp x7, x8, [P1+16] __LF \ + ldp x4, x3, [P2+16] __LF \ + sbcs x7, x7, x4 __LF \ + sbcs x8, x8, x3 __LF \ + mov x4, #38 __LF \ + csel x3, x4, xzr, lo __LF \ + subs x5, x5, x3 __LF \ + sbcs x6, x6, xzr __LF \ + sbcs x7, x7, xzr __LF \ + sbc x8, x8, xzr __LF \ + stp x5, x6, [P0] __LF \ + stp x7, x8, [P0+16] + +// Modular addition and doubling with double modulus 2 * p_25519 = 2^256 - 38. +// This only ensures that the result fits in 4 digits, not that it is reduced +// even w.r.t. double modulus. The result is always correct modulo provided +// the sum of the inputs is < 2^256 + 2^256 - 38, so in particular provided +// at least one of them is reduced double modulo. + +#define add_twice4(P0,P1,P2) \ + ldp x3, x4, [P1] __LF \ + ldp x7, x8, [P2] __LF \ + adds x3, x3, x7 __LF \ + adcs x4, x4, x8 __LF \ + ldp x5, x6, [P1+16] __LF \ + ldp x7, x8, [P2+16] __LF \ + adcs x5, x5, x7 __LF \ + adcs x6, x6, x8 __LF \ + mov x9, #38 __LF \ + csel x9, x9, xzr, cs __LF \ + adds x3, x3, x9 __LF \ + adcs x4, x4, xzr __LF \ + adcs x5, x5, xzr __LF \ + adc x6, x6, xzr __LF \ + stp x3, x4, [P0] __LF \ + stp x5, x6, [P0+16] + +#define double_twice4(P0,P1) \ + ldp x3, x4, [P1] __LF \ + adds x3, x3, x3 __LF \ + adcs x4, x4, x4 __LF \ + ldp x5, x6, [P1+16] __LF \ + adcs x5, x5, x5 __LF \ + adcs x6, x6, x6 __LF \ + mov x9, #38 __LF \ + csel x9, x9, xzr, cs __LF \ + adds x3, x3, x9 __LF \ + adcs x4, x4, xzr __LF \ + adcs x5, x5, xzr __LF \ + adc x6, x6, xzr __LF \ + stp x3, x4, [P0] __LF \ + stp x5, x6, [P0+16] + +S2N_BN_SYMBOL(edwards25519_scalarmulbase_alt): + CFI_START + +// Save regs and make room for temporaries + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_DEC_SP(NSPACE) + +// Move the output pointer to a stable place + + mov res, x0 + +// Copy the input scalar x to its local variable while reducing it +// modulo 2^252 + m where m = 27742317777372353535851937790883648493; +// this is the order of the basepoint so this doesn't change the result. +// First do q = floor(x/2^252) and x' = x - q * (2^252 + m), which gives +// an initial result -15 * m <= x' < 2^252 + + ldp x10, x11, [x1] + ldp x12, x13, [x1, #16] + + lsr x9, x13, #60 + + movbig(x0,#0x5812,#0x631a,#0x5cf5,#0xd3ed); + movbig(x1,#0x14de,#0xf9de,#0xa2f7,#0x9cd6); + + mul x2, x9, x0 + mul x3, x9, x1 + umulh x4, x9, x0 + umulh x5, x9, x1 + + adds x3, x3, x4 + adc x4, x5, xzr + lsl x5, x9, #60 + + subs x10, x10, x2 + sbcs x11, x11, x3 + sbcs x12, x12, x4 + sbcs x13, x13, x5 + +// If x' < 0 then just directly negate it; this makes sure the +// reduced argument is strictly 0 <= x' < 2^252, but now we need +// to record (done via bit 255 of the reduced scalar, which is +// ignored in the main loop) when we negated so we can flip +// the sign of the eventual point to compensate. + + csetm x9, cc + adds xzr, x9, x9 + eor x10, x10, x9 + adcs x10, x10, xzr + eor x11, x11, x9 + adcs x11, x11, xzr + eor x12, x12, x9 + adcs x12, x12, xzr + eor x13, x13, x9 + adc x13, x13, xzr + + and x9, x9, #0x8000000000000000 + orr x13, x13, x9 + +// And before we store the scalar, test and reset bit 251 to +// initialize the main loop just below. + + stp x10, x11, [scalar] + tst x13, #0x0800000000000000 + bic x13, x13, #0x0800000000000000 + stp x12, x13, [scalar+16] + +// The main part of the computation is in extended-projective coordinates +// (X,Y,Z,T), representing an affine point on the edwards25519 curve +// (x,y) via x = X/Z, y = Y/Z and x * y = T/Z (so X * Y = T * Z). +// In comments B means the standard basepoint (x,4/5) = +// (0x216....f25d51a,0x6666..666658). +// +// Initialize accumulator "acc" to either 0 or 2^251 * B depending on +// bit 251 of the (reduced) scalar. That leaves bits 0..250 to handle. + +#if defined(__ELF__) + adrp tab, S2N_BN_SYMBOL(edwards25519_scalarmulbase_alt_constant) + add tab, tab, :lo12:S2N_BN_SYMBOL(edwards25519_scalarmulbase_alt_constant) +#else + adrp tab, S2N_BN_SYMBOL(edwards25519_scalarmulbase_alt_constant)@PAGE + add tab, tab, S2N_BN_SYMBOL(edwards25519_scalarmulbase_alt_constant)@PAGEOFF +#endif + + ldp x0, x1, [tab] + ldp x2, x3, [tab, #96] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc] + + ldp x0, x1, [tab, #1*16] + ldp x2, x3, [tab, #(96+1*16)] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc+1*16] + + ldp x0, x1, [tab, #2*16] + ldp x2, x3, [tab, #(96+2*16)] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc+2*16] + + ldp x0, x1, [tab, #3*16] + ldp x2, x3, [tab, #(96+3*16)] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc+3*16] + + mov x0, #1 + stp x0, xzr, [acc+4*16] + stp xzr, xzr, [acc+5*16] + + ldp x0, x1, [tab, #4*16] + ldp x2, x3, [tab, #(96+4*16)] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc+6*16] + + ldp x0, x1, [tab, #5*16] + ldp x2, x3, [tab, #(96+5*16)] + csel x0, x0, x2, eq + csel x1, x1, x3, eq + stp x0, x1, [acc+7*16] + +// The counter "i" tracks the bit position for which the scalar has +// already been absorbed, starting at 0 and going up in chunks of 4. +// +// The pointer "tab" points at the current block of the table for +// multiples (2^i * j) * B at the current bit position i; 1 <= j <= 8. +// +// The bias is always either 0 and 1 and needs to be added to the +// partially processed scalar implicitly. This is used to absorb 4 bits +// of scalar per iteration from 3-bit table indexing by exploiting +// negation: (16 * h + l) * B = (16 * (h + 1) - (16 - l)) * B is used +// when l >= 9. Note that we can't have any bias left over at the +// end because we made sure bit 251 is clear in the reduced scalar. + + mov i, 0 + add tab, tab, #192 + mov bias, xzr + +// Start of the main loop, repeated 63 times for i = 0, 4, 8, ..., 248 + +Ledwards25519_scalarmulbase_alt_scalarloop: + +// Look at the next 4-bit field "bf", adding the previous bias as well. +// Choose the table index "ix" as bf when bf <= 8 and 16 - bf for bf >= 9, +// setting the bias to 1 for the next iteration in the latter case. + + lsr x0, i, #6 + ldr x2, [sp, x0, lsl #3] // Exploiting scalar = sp exactly + lsr x2, x2, i + and x2, x2, #15 + add bf, x2, bias + + cmp bf, 9 + cset bias, cs + + mov x0, 16 + sub x0, x0, bf + cmp bias, xzr + csel ix, x0, bf, ne + +// Perform constant-time lookup in the table to get element number "ix". +// The table entry for the affine point (x,y) is actually a triple +// (y - x,x + y,2 * d * x * y) to precompute parts of the addition. +// Note that "ix" can be 0, so we set up the appropriate identity first. + + mov x0, #1 + mov x1, xzr + mov x2, xzr + mov x3, xzr + mov x4, #1 + mov x5, xzr + mov x6, xzr + mov x7, xzr + mov x8, xzr + mov x9, xzr + mov x10, xzr + mov x11, xzr + + cmp ix, #1 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #2 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #3 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #4 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #5 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #6 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #7 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + + cmp ix, #8 + ldp x12, x13, [tab] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x12, x13, [tab, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x12, x13, [tab, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x12, x13, [tab, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x12, x13, [tab, #64] + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x12, x13, [tab, #80] + csel x10, x10, x12, ne + csel x11, x11, x13, ne + add tab, tab, #96 + +// We now have the triple from the table in registers as follows +// +// [x3;x2;x1;x0] = y - x +// [x7;x6;x5;x4] = x + y +// [x11;x10;x9;x8] = 2 * d * x * y +// +// In case bias = 1 we need to negate this. For Edwards curves +// -(x,y) = (-x,y), i.e. we need to negate the x coordinate. +// In this processed encoding, that amounts to swapping the +// first two fields and negating the third. +// +// The optional negation here also pretends bias = 0 whenever +// ix = 0 so that it doesn't need to handle the case of zero +// inputs, since no non-trivial table entries are zero. Note +// that in the zero case the whole negation is trivial, and +// so indeed is the swapping. + + cmp bias, #0 + + csel x12, x0, x4, eq + csel x13, x1, x5, eq + csel x14, x2, x6, eq + csel x15, x3, x7, eq + stp x12, x13, [tabent] + stp x14, x15, [tabent+16] + + csel x12, x0, x4, ne + csel x13, x1, x5, ne + csel x14, x2, x6, ne + csel x15, x3, x7, ne + stp x12, x13, [tabent+32] + stp x14, x15, [tabent+48] + + mov x0, #-19 + subs x0, x0, x8 + mov x2, #-1 + sbcs x1, x2, x9 + sbcs x2, x2, x10 + mov x3, #0x7FFFFFFFFFFFFFFF + sbc x3, x3, x11 + + cmp ix, xzr + ccmp bias, xzr, #4, ne + + csel x0, x0, x8, ne + csel x1, x1, x9, ne + stp x0, x1, [tabent+64] + csel x2, x2, x10, ne + csel x3, x3, x11, ne + stp x2, x3, [tabent+80] + +// Extended-projective and precomputed mixed addition. +// This is effectively the same as calling the standalone +// function edwards25519_pepadd_alt(acc,acc,tabent), but we +// only retain slightly weaker normalization < 2 * p_25519 +// throughout the inner loop, so the computation is +// slightly different, and faster overall. + + double_twice4(t0,z_1) + sub_twice4(t1,y_1,x_1) + add_twice4(t2,y_1,x_1) + mul_4(t3,w_1,kxy_2) + mul_4(t1,t1,ymx_2) + mul_4(t2,t2,xpy_2) + sub_twice4(t4,t0,t3) + add_twice4(t0,t0,t3) + sub_twice4(t5,t2,t1) + add_twice4(t1,t2,t1) + mul_4(z_3,t4,t0) + mul_4(x_3,t5,t4) + mul_4(y_3,t0,t1) + mul_4(w_3,t5,t1) + +// End of the main loop; move on by 4 bits. + + add i, i, 4 + cmp i, 252 + bcc Ledwards25519_scalarmulbase_alt_scalarloop + +// Insert the optional negation of the projective X coordinate, and +// so by extension the final affine x coordinate x = X/Z and thus +// the point P = (x,y). We only know X < 2 * p_25519, so we do the +// negation as 2 * p_25519 - X to keep it nonnegative. From this +// point on we don't need any normalization of the coordinates +// except for making sure that they fit in 4 digits. + + ldp x0, x1, [x_3] + ldp x2, x3, [x_3+16] + mov x4, #0xffffffffffffffda + subs x4, x4, x0 + mov x7, #0xffffffffffffffff + sbcs x5, x7, x1 + sbcs x6, x7, x2 + sbc x7, x7, x3 + ldr x10, [scalar+24] + tst x10, #0x8000000000000000 + csel x0, x4, x0, ne + csel x1, x5, x1, ne + csel x2, x6, x2, ne + csel x3, x7, x3, ne + stp x0, x1, [x_3] + stp x2, x3, [x_3+16] + +// Now we need to map out of the extended-projective representation +// (X,Y,Z,W) back to the affine form (x,y) = (X/Z,Y/Z). This means +// first calling the modular inverse to get w_3 = 1/z_3. + + add x0, w_3 + add x1, z_3 + +// Inline copy of bignum_inv_p25519, identical except for stripping out +// the prologue and epilogue saving and restoring registers and making +// and reclaiming room on the stack. For more details and explanations see +// "arm/curve25519/bignum_inv_p25519.S". Note that the stack it uses for +// its own temporaries is 128 bytes, so it has no effect on variables +// that are needed in the rest of our computation here: res, w_3, x_3 +// and y_3. + + mov x20, x0 + mov x10, #0xffffffffffffffed + mov x11, #0xffffffffffffffff + stp x10, x11, [sp] + mov x12, #0x7fffffffffffffff + stp x11, x12, [sp, #16] + ldp x2, x3, [x1] + ldp x4, x5, [x1, #16] + mov x7, #0x13 + lsr x6, x5, #63 + madd x6, x7, x6, x7 + adds x2, x2, x6 + adcs x3, x3, xzr + adcs x4, x4, xzr + orr x5, x5, #0x8000000000000000 + adcs x5, x5, xzr + csel x6, x7, xzr, cc + subs x2, x2, x6 + sbcs x3, x3, xzr + sbcs x4, x4, xzr + sbc x5, x5, xzr + and x5, x5, #0x7fffffffffffffff + stp x2, x3, [sp, #32] + stp x4, x5, [sp, #48] + stp xzr, xzr, [sp, #64] + stp xzr, xzr, [sp, #80] + mov x10, #0x2099 + movk x10, #0x7502, lsl #16 + movk x10, #0x9e23, lsl #32 + movk x10, #0xa0f9, lsl #48 + mov x11, #0x2595 + movk x11, #0x1d13, lsl #16 + movk x11, #0x8f3f, lsl #32 + movk x11, #0xa8c6, lsl #48 + mov x12, #0x5242 + movk x12, #0x5ac, lsl #16 + movk x12, #0x8938, lsl #32 + movk x12, #0x6c6c, lsl #48 + mov x13, #0x615 + movk x13, #0x4177, lsl #16 + movk x13, #0x8b2, lsl #32 + movk x13, #0x2765, lsl #48 + stp x10, x11, [sp, #96] + stp x12, x13, [sp, #112] + mov x21, #0xa + mov x22, #0x1 + b Ledwards25519_scalarmulbase_alt_invmidloop +Ledwards25519_scalarmulbase_alt_invloop: + cmp x10, xzr + csetm x14, mi + cneg x10, x10, mi + cmp x11, xzr + csetm x15, mi + cneg x11, x11, mi + cmp x12, xzr + csetm x16, mi + cneg x12, x12, mi + cmp x13, xzr + csetm x17, mi + cneg x13, x13, mi + and x0, x10, x14 + and x1, x11, x15 + add x9, x0, x1 + and x0, x12, x16 + and x1, x13, x17 + add x19, x0, x1 + ldr x7, [sp] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #32] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + adc x2, x2, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x5, x19, x0 + adc x3, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x7, [sp, #8] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #40] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + adc x6, x6, x1 + extr x4, x2, x4, #59 + str x4, [sp] + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x3, x3, x0 + adc x4, x4, x1 + extr x5, x3, x5, #59 + str x5, [sp, #32] + ldr x7, [sp, #16] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #48] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + adc x5, x5, x1 + extr x2, x6, x2, #59 + str x2, [sp, #8] + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x4, x4, x0 + adc x2, x2, x1 + extr x3, x4, x3, #59 + str x3, [sp, #40] + ldr x7, [sp, #24] + eor x1, x7, x14 + asr x3, x1, #63 + and x3, x3, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #56] + eor x1, x8, x15 + asr x0, x1, #63 + and x0, x0, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x5, x6, #59 + str x6, [sp, #16] + extr x5, x3, x5, #59 + str x5, [sp, #24] + eor x1, x7, x16 + asr x5, x1, #63 + and x5, x5, x12 + neg x5, x5 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, x17 + asr x0, x1, #63 + and x0, x0, x13 + sub x5, x5, x0 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x2, x2, x0 + adc x5, x5, x1 + extr x4, x2, x4, #59 + str x4, [sp, #48] + extr x2, x5, x2, #59 + str x2, [sp, #56] + ldr x7, [sp, #64] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #96] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + str x4, [sp, #64] + adc x2, x2, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x5, x19, x0 + adc x3, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x5, x5, x0 + str x5, [sp, #96] + adc x3, x3, x1 + ldr x7, [sp, #72] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #104] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + str x2, [sp, #72] + adc x6, x6, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x3, x3, x0 + str x3, [sp, #104] + adc x4, x4, x1 + ldr x7, [sp, #80] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #112] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + str x6, [sp, #80] + adc x5, x5, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x4, x4, x0 + str x4, [sp, #112] + adc x2, x2, x1 + ldr x7, [sp, #88] + eor x1, x7, x14 + and x3, x14, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #120] + eor x1, x8, x15 + and x0, x15, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x3, x5, #63 + ldp x0, x1, [sp, #64] + add x6, x6, x3, asr #63 + mov x3, #0x13 + mul x4, x6, x3 + add x5, x5, x6, lsl #63 + smulh x3, x6, x3 + ldr x6, [sp, #80] + adds x0, x0, x4 + adcs x1, x1, x3 + asr x3, x3, #63 + adcs x6, x6, x3 + adc x5, x5, x3 + stp x0, x1, [sp, #64] + stp x6, x5, [sp, #80] + eor x1, x7, x16 + and x5, x16, x12 + neg x5, x5 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, x17 + and x0, x17, x13 + sub x5, x5, x0 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x2, x2, x0 + adc x5, x5, x1 + extr x6, x5, x2, #63 + ldp x0, x1, [sp, #96] + add x6, x6, x5, asr #63 + mov x5, #0x13 + mul x4, x6, x5 + add x2, x2, x6, lsl #63 + smulh x5, x6, x5 + ldr x3, [sp, #112] + adds x0, x0, x4 + adcs x1, x1, x5 + asr x5, x5, #63 + adcs x3, x3, x5 + adc x2, x2, x5 + stp x0, x1, [sp, #96] + stp x3, x2, [sp, #112] +Ledwards25519_scalarmulbase_alt_invmidloop: + mov x1, x22 + ldr x2, [sp] + ldr x3, [sp, #32] + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x8, x4, #0x100, lsl #12 + sbfx x8, x8, #21, #21 + mov x11, #0x100000 + add x11, x11, x11, lsl #21 + add x9, x4, x11 + asr x9, x9, #42 + add x10, x5, #0x100, lsl #12 + sbfx x10, x10, #21, #21 + add x11, x5, x11 + asr x11, x11, #42 + mul x6, x8, x2 + mul x7, x9, x3 + mul x2, x10, x2 + mul x3, x11, x3 + add x4, x6, x7 + add x5, x2, x3 + asr x2, x4, #20 + asr x3, x5, #20 + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x12, x4, #0x100, lsl #12 + sbfx x12, x12, #21, #21 + mov x15, #0x100000 + add x15, x15, x15, lsl #21 + add x13, x4, x15 + asr x13, x13, #42 + add x14, x5, #0x100, lsl #12 + sbfx x14, x14, #21, #21 + add x15, x5, x15 + asr x15, x15, #42 + mul x6, x12, x2 + mul x7, x13, x3 + mul x2, x14, x2 + mul x3, x15, x3 + add x4, x6, x7 + add x5, x2, x3 + asr x2, x4, #20 + asr x3, x5, #20 + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + mul x2, x12, x8 + mul x3, x12, x9 + mul x6, x14, x8 + mul x7, x14, x9 + madd x8, x13, x10, x2 + madd x9, x13, x11, x3 + madd x16, x15, x10, x6 + madd x17, x15, x11, x7 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x12, x4, #0x100, lsl #12 + sbfx x12, x12, #22, #21 + mov x15, #0x100000 + add x15, x15, x15, lsl #21 + add x13, x4, x15 + asr x13, x13, #43 + add x14, x5, #0x100, lsl #12 + sbfx x14, x14, #22, #21 + add x15, x5, x15 + asr x15, x15, #43 + mneg x2, x12, x8 + mneg x3, x12, x9 + mneg x4, x14, x8 + mneg x5, x14, x9 + msub x10, x13, x16, x2 + msub x11, x13, x17, x3 + msub x12, x15, x16, x4 + msub x13, x15, x17, x5 + mov x22, x1 + subs x21, x21, #0x1 + b.ne Ledwards25519_scalarmulbase_alt_invloop + ldr x0, [sp] + ldr x1, [sp, #32] + mul x0, x0, x10 + madd x1, x1, x11, x0 + asr x0, x1, #63 + cmp x10, xzr + csetm x14, mi + cneg x10, x10, mi + eor x14, x14, x0 + cmp x11, xzr + csetm x15, mi + cneg x11, x11, mi + eor x15, x15, x0 + cmp x12, xzr + csetm x16, mi + cneg x12, x12, mi + eor x16, x16, x0 + cmp x13, xzr + csetm x17, mi + cneg x13, x13, mi + eor x17, x17, x0 + and x0, x10, x14 + and x1, x11, x15 + add x9, x0, x1 + ldr x7, [sp, #64] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #96] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + str x4, [sp, #64] + adc x2, x2, x1 + ldr x7, [sp, #72] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #104] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + str x2, [sp, #72] + adc x6, x6, x1 + ldr x7, [sp, #80] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #112] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + str x6, [sp, #80] + adc x5, x5, x1 + ldr x7, [sp, #88] + eor x1, x7, x14 + and x3, x14, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #120] + eor x1, x8, x15 + and x0, x15, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x3, x5, #63 + ldp x0, x1, [sp, #64] + tst x3, x3 + cinc x6, x6, pl + mov x3, #0x13 + mul x4, x6, x3 + add x5, x5, x6, lsl #63 + smulh x6, x6, x3 + ldr x2, [sp, #80] + adds x0, x0, x4 + adcs x1, x1, x6 + asr x6, x6, #63 + adcs x2, x2, x6 + adcs x5, x5, x6 + csel x3, x3, xzr, mi + subs x0, x0, x3 + sbcs x1, x1, xzr + sbcs x2, x2, xzr + sbc x5, x5, xzr + and x5, x5, #0x7fffffffffffffff + mov x4, x20 + stp x0, x1, [x4] + stp x2, x5, [x4, #16] + +// The final result is x = X * inv(Z), y = Y * inv(Z). +// These are the only operations in the whole computation that +// fully reduce modulo p_25519 since now we want the canonical +// answer as output. + + mul_p25519(resx,x_3,w_3) + mul_p25519(resy,y_3,w_3) + +// Restore stack and registers + + CFI_INC_SP(NSPACE) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(edwards25519_scalarmulbase_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif + +// **************************************************************************** +// The precomputed data (all read-only). +// **************************************************************************** + +#if defined(__ELF__) +.section .rodata +.type S2N_BN_SYMBOL(edwards25519_scalarmulbase_alt_constant), %object +.size S2N_BN_SYMBOL(edwards25519_scalarmulbase_alt_constant), 48576 +#elif defined(__APPLE__) +.const_data +#endif + +S2N_BN_SYMBOL(edwards25519_scalarmulbase_alt_constant): + +// 0 * B = 0 and 2^251 * B in extended-projective coordinates +// but with Z = 1 assumed and hence left out, so they are (X,Y,T) only. + + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000001 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + + .quad 0x525f946d7c7220e7 + .quad 0x4636b0b2f1e35444 + .quad 0x796e9d70e892ae0f + .quad 0x03dec05fa937adb1 + .quad 0x6d1c271cc6375515 + .quad 0x462588c4a4ca4f14 + .quad 0x691129fee55afc39 + .quad 0x15949f784d8472f5 + .quad 0xbd89e510afad0049 + .quad 0x4d1f08c073b9860e + .quad 0x07716e8b2d00af9d + .quad 0x70d685f68f859714 + +// Precomputed table of multiples of generator for edwards25519 +// all in precomputed extended-projective (y-x,x+y,2*d*x*y) triples. + + // 2^0 * 1 * G + + .quad 0x9d103905d740913e + .quad 0xfd399f05d140beb3 + .quad 0xa5c18434688f8a09 + .quad 0x44fd2f9298f81267 + .quad 0x2fbc93c6f58c3b85 + .quad 0xcf932dc6fb8c0e19 + .quad 0x270b4898643d42c2 + .quad 0x07cf9d3a33d4ba65 + .quad 0xabc91205877aaa68 + .quad 0x26d9e823ccaac49e + .quad 0x5a1b7dcbdd43598c + .quad 0x6f117b689f0c65a8 + + // 2^0 * 2 * G + + .quad 0x8a99a56042b4d5a8 + .quad 0x8f2b810c4e60acf6 + .quad 0xe09e236bb16e37aa + .quad 0x6bb595a669c92555 + .quad 0x9224e7fc933c71d7 + .quad 0x9f469d967a0ff5b5 + .quad 0x5aa69a65e1d60702 + .quad 0x590c063fa87d2e2e + .quad 0x43faa8b3a59b7a5f + .quad 0x36c16bdd5d9acf78 + .quad 0x500fa0840b3d6a31 + .quad 0x701af5b13ea50b73 + + // 2^0 * 3 * G + + .quad 0x56611fe8a4fcd265 + .quad 0x3bd353fde5c1ba7d + .quad 0x8131f31a214bd6bd + .quad 0x2ab91587555bda62 + .quad 0xaf25b0a84cee9730 + .quad 0x025a8430e8864b8a + .quad 0xc11b50029f016732 + .quad 0x7a164e1b9a80f8f4 + .quad 0x14ae933f0dd0d889 + .quad 0x589423221c35da62 + .quad 0xd170e5458cf2db4c + .quad 0x5a2826af12b9b4c6 + + // 2^0 * 4 * G + + .quad 0x95fe050a056818bf + .quad 0x327e89715660faa9 + .quad 0xc3e8e3cd06a05073 + .quad 0x27933f4c7445a49a + .quad 0x287351b98efc099f + .quad 0x6765c6f47dfd2538 + .quad 0xca348d3dfb0a9265 + .quad 0x680e910321e58727 + .quad 0x5a13fbe9c476ff09 + .quad 0x6e9e39457b5cc172 + .quad 0x5ddbdcf9102b4494 + .quad 0x7f9d0cbf63553e2b + + // 2^0 * 5 * G + + .quad 0x7f9182c3a447d6ba + .quad 0xd50014d14b2729b7 + .quad 0xe33cf11cb864a087 + .quad 0x154a7e73eb1b55f3 + .quad 0xa212bc4408a5bb33 + .quad 0x8d5048c3c75eed02 + .quad 0xdd1beb0c5abfec44 + .quad 0x2945ccf146e206eb + .quad 0xbcbbdbf1812a8285 + .quad 0x270e0807d0bdd1fc + .quad 0xb41b670b1bbda72d + .quad 0x43aabe696b3bb69a + + // 2^0 * 6 * G + + .quad 0x499806b67b7d8ca4 + .quad 0x575be28427d22739 + .quad 0xbb085ce7204553b9 + .quad 0x38b64c41ae417884 + .quad 0x3a0ceeeb77157131 + .quad 0x9b27158900c8af88 + .quad 0x8065b668da59a736 + .quad 0x51e57bb6a2cc38bd + .quad 0x85ac326702ea4b71 + .quad 0xbe70e00341a1bb01 + .quad 0x53e4a24b083bc144 + .quad 0x10b8e91a9f0d61e3 + + // 2^0 * 7 * G + + .quad 0xba6f2c9aaa3221b1 + .quad 0x6ca021533bba23a7 + .quad 0x9dea764f92192c3a + .quad 0x1d6edd5d2e5317e0 + .quad 0x6b1a5cd0944ea3bf + .quad 0x7470353ab39dc0d2 + .quad 0x71b2528228542e49 + .quad 0x461bea69283c927e + .quad 0xf1836dc801b8b3a2 + .quad 0xb3035f47053ea49a + .quad 0x529c41ba5877adf3 + .quad 0x7a9fbb1c6a0f90a7 + + // 2^0 * 8 * G + + .quad 0xe2a75dedf39234d9 + .quad 0x963d7680e1b558f9 + .quad 0x2c2741ac6e3c23fb + .quad 0x3a9024a1320e01c3 + .quad 0x59b7596604dd3e8f + .quad 0x6cb30377e288702c + .quad 0xb1339c665ed9c323 + .quad 0x0915e76061bce52f + .quad 0xe7c1f5d9c9a2911a + .quad 0xb8a371788bcca7d7 + .quad 0x636412190eb62a32 + .quad 0x26907c5c2ecc4e95 + + // 2^4 * 1 * B + + .quad 0x7ec851ca553e2df3 + .quad 0xa71284cba64878b3 + .quad 0xe6b5e4193288d1e7 + .quad 0x4cf210ec5a9a8883 + .quad 0x322d04a52d9021f6 + .quad 0xb9c19f3375c6bf9c + .quad 0x587a3a4342d20b09 + .quad 0x143b1cf8aa64fe61 + .quad 0x9f867c7d968acaab + .quad 0x5f54258e27092729 + .quad 0xd0a7d34bea180975 + .quad 0x21b546a3374126e1 + + // 2^4 * 2 * B + + .quad 0xa94ff858a2888343 + .quad 0xce0ed4565313ed3c + .quad 0xf55c3dcfb5bf34fa + .quad 0x0a653ca5c9eab371 + .quad 0x490a7a45d185218f + .quad 0x9a15377846049335 + .quad 0x0060ea09cc31e1f6 + .quad 0x7e041577f86ee965 + .quad 0x66b2a496ce5b67f3 + .quad 0xff5492d8bd569796 + .quad 0x503cec294a592cd0 + .quad 0x566943650813acb2 + + // 2^4 * 3 * B + + .quad 0xb818db0c26620798 + .quad 0x5d5c31d9606e354a + .quad 0x0982fa4f00a8cdc7 + .quad 0x17e12bcd4653e2d4 + .quad 0x5672f9eb1dabb69d + .quad 0xba70b535afe853fc + .quad 0x47ac0f752796d66d + .quad 0x32a5351794117275 + .quad 0xd3a644a6df648437 + .quad 0x703b6559880fbfdd + .quad 0xcb852540ad3a1aa5 + .quad 0x0900b3f78e4c6468 + + // 2^4 * 4 * B + + .quad 0x0a851b9f679d651b + .quad 0xe108cb61033342f2 + .quad 0xd601f57fe88b30a3 + .quad 0x371f3acaed2dd714 + .quad 0xed280fbec816ad31 + .quad 0x52d9595bd8e6efe3 + .quad 0x0fe71772f6c623f5 + .quad 0x4314030b051e293c + .quad 0xd560005efbf0bcad + .quad 0x8eb70f2ed1870c5e + .quad 0x201f9033d084e6a0 + .quad 0x4c3a5ae1ce7b6670 + + // 2^4 * 5 * B + + .quad 0x4138a434dcb8fa95 + .quad 0x870cf67d6c96840b + .quad 0xde388574297be82c + .quad 0x7c814db27262a55a + .quad 0xbaf875e4c93da0dd + .quad 0xb93282a771b9294d + .quad 0x80d63fb7f4c6c460 + .quad 0x6de9c73dea66c181 + .quad 0x478904d5a04df8f2 + .quad 0xfafbae4ab10142d3 + .quad 0xf6c8ac63555d0998 + .quad 0x5aac4a412f90b104 + + // 2^4 * 6 * B + + .quad 0xc64f326b3ac92908 + .quad 0x5551b282e663e1e0 + .quad 0x476b35f54a1a4b83 + .quad 0x1b9da3fe189f68c2 + .quad 0x603a0d0abd7f5134 + .quad 0x8089c932e1d3ae46 + .quad 0xdf2591398798bd63 + .quad 0x1c145cd274ba0235 + .quad 0x32e8386475f3d743 + .quad 0x365b8baf6ae5d9ef + .quad 0x825238b6385b681e + .quad 0x234929c1167d65e1 + + // 2^4 * 7 * B + + .quad 0x984decaba077ade8 + .quad 0x383f77ad19eb389d + .quad 0xc7ec6b7e2954d794 + .quad 0x59c77b3aeb7c3a7a + .quad 0x48145cc21d099fcf + .quad 0x4535c192cc28d7e5 + .quad 0x80e7c1e548247e01 + .quad 0x4a5f28743b2973ee + .quad 0xd3add725225ccf62 + .quad 0x911a3381b2152c5d + .quad 0xd8b39fad5b08f87d + .quad 0x6f05606b4799fe3b + + // 2^4 * 8 * B + + .quad 0x9ffe9e92177ba962 + .quad 0x98aee71d0de5cae1 + .quad 0x3ff4ae942d831044 + .quad 0x714de12e58533ac8 + .quad 0x5b433149f91b6483 + .quad 0xadb5dc655a2cbf62 + .quad 0x87fa8412632827b3 + .quad 0x60895e91ab49f8d8 + .quad 0xe9ecf2ed0cf86c18 + .quad 0xb46d06120735dfd4 + .quad 0xbc9da09804b96be7 + .quad 0x73e2e62fd96dc26b + + // 2^8 * 1 * B + + .quad 0xed5b635449aa515e + .quad 0xa865c49f0bc6823a + .quad 0x850c1fe95b42d1c4 + .quad 0x30d76d6f03d315b9 + .quad 0x2eccdd0e632f9c1d + .quad 0x51d0b69676893115 + .quad 0x52dfb76ba8637a58 + .quad 0x6dd37d49a00eef39 + .quad 0x6c4444172106e4c7 + .quad 0xfb53d680928d7f69 + .quad 0xb4739ea4694d3f26 + .quad 0x10c697112e864bb0 + + // 2^8 * 2 * B + + .quad 0x6493c4277dbe5fde + .quad 0x265d4fad19ad7ea2 + .quad 0x0e00dfc846304590 + .quad 0x25e61cabed66fe09 + .quad 0x0ca62aa08358c805 + .quad 0x6a3d4ae37a204247 + .quad 0x7464d3a63b11eddc + .quad 0x03bf9baf550806ef + .quad 0x3f13e128cc586604 + .quad 0x6f5873ecb459747e + .quad 0xa0b63dedcc1268f5 + .quad 0x566d78634586e22c + + // 2^8 * 3 * B + + .quad 0x1637a49f9cc10834 + .quad 0xbc8e56d5a89bc451 + .quad 0x1cb5ec0f7f7fd2db + .quad 0x33975bca5ecc35d9 + .quad 0xa1054285c65a2fd0 + .quad 0x6c64112af31667c3 + .quad 0x680ae240731aee58 + .quad 0x14fba5f34793b22a + .quad 0x3cd746166985f7d4 + .quad 0x593e5e84c9c80057 + .quad 0x2fc3f2b67b61131e + .quad 0x14829cea83fc526c + + // 2^8 * 4 * B + + .quad 0xff437b8497dd95c2 + .quad 0x6c744e30aa4eb5a7 + .quad 0x9e0c5d613c85e88b + .quad 0x2fd9c71e5f758173 + .quad 0x21e70b2f4e71ecb8 + .quad 0xe656ddb940a477e3 + .quad 0xbf6556cece1d4f80 + .quad 0x05fc3bc4535d7b7e + .quad 0x24b8b3ae52afdedd + .quad 0x3495638ced3b30cf + .quad 0x33a4bc83a9be8195 + .quad 0x373767475c651f04 + + // 2^8 * 5 * B + + .quad 0x2fba99fd40d1add9 + .quad 0xb307166f96f4d027 + .quad 0x4363f05215f03bae + .quad 0x1fbea56c3b18f999 + .quad 0x634095cb14246590 + .quad 0xef12144016c15535 + .quad 0x9e38140c8910bc60 + .quad 0x6bf5905730907c8c + .quad 0x0fa778f1e1415b8a + .quad 0x06409ff7bac3a77e + .quad 0x6f52d7b89aa29a50 + .quad 0x02521cf67a635a56 + + // 2^8 * 6 * B + + .quad 0x513fee0b0a9d5294 + .quad 0x8f98e75c0fdf5a66 + .quad 0xd4618688bfe107ce + .quad 0x3fa00a7e71382ced + .quad 0xb1146720772f5ee4 + .quad 0xe8f894b196079ace + .quad 0x4af8224d00ac824a + .quad 0x001753d9f7cd6cc4 + .quad 0x3c69232d963ddb34 + .quad 0x1dde87dab4973858 + .quad 0xaad7d1f9a091f285 + .quad 0x12b5fe2fa048edb6 + + // 2^8 * 7 * B + + .quad 0x71f0fbc496fce34d + .quad 0x73b9826badf35bed + .quad 0xd2047261ff28c561 + .quad 0x749b76f96fb1206f + .quad 0xdf2b7c26ad6f1e92 + .quad 0x4b66d323504b8913 + .quad 0x8c409dc0751c8bc3 + .quad 0x6f7e93c20796c7b8 + .quad 0x1f5af604aea6ae05 + .quad 0xc12351f1bee49c99 + .quad 0x61a808b5eeff6b66 + .quad 0x0fcec10f01e02151 + + // 2^8 * 8 * B + + .quad 0x644d58a649fe1e44 + .quad 0x21fcaea231ad777e + .quad 0x02441c5a887fd0d2 + .quad 0x4901aa7183c511f3 + .quad 0x3df2d29dc4244e45 + .quad 0x2b020e7493d8de0a + .quad 0x6cc8067e820c214d + .quad 0x413779166feab90a + .quad 0x08b1b7548c1af8f0 + .quad 0xce0f7a7c246299b4 + .quad 0xf760b0f91e06d939 + .quad 0x41bb887b726d1213 + + // 2^12 * 1 * B + + .quad 0x9267806c567c49d8 + .quad 0x066d04ccca791e6a + .quad 0xa69f5645e3cc394b + .quad 0x5c95b686a0788cd2 + .quad 0x97d980e0aa39f7d2 + .quad 0x35d0384252c6b51c + .quad 0x7d43f49307cd55aa + .quad 0x56bd36cfb78ac362 + .quad 0x2ac519c10d14a954 + .quad 0xeaf474b494b5fa90 + .quad 0xe6af8382a9f87a5a + .quad 0x0dea6db1879be094 + + // 2^12 * 2 * B + + .quad 0xaa66bf547344e5ab + .quad 0xda1258888f1b4309 + .quad 0x5e87d2b3fd564b2f + .quad 0x5b2c78885483b1dd + .quad 0x15baeb74d6a8797a + .quad 0x7ef55cf1fac41732 + .quad 0x29001f5a3c8b05c5 + .quad 0x0ad7cc8752eaccfb + .quad 0x52151362793408cf + .quad 0xeb0f170319963d94 + .quad 0xa833b2fa883d9466 + .quad 0x093a7fa775003c78 + + // 2^12 * 3 * B + + .quad 0xe5107de63a16d7be + .quad 0xa377ffdc9af332cf + .quad 0x70d5bf18440b677f + .quad 0x6a252b19a4a31403 + .quad 0xb8e9604460a91286 + .quad 0x7f3fd8047778d3de + .quad 0x67d01e31bf8a5e2d + .quad 0x7b038a06c27b653e + .quad 0x9ed919d5d36990f3 + .quad 0x5213aebbdb4eb9f2 + .quad 0xc708ea054cb99135 + .quad 0x58ded57f72260e56 + + // 2^12 * 4 * B + + .quad 0x78e79dade9413d77 + .quad 0xf257f9d59729e67d + .quad 0x59db910ee37aa7e6 + .quad 0x6aa11b5bbb9e039c + .quad 0xda6d53265b0fd48b + .quad 0x8960823193bfa988 + .quad 0xd78ac93261d57e28 + .quad 0x79f2942d3a5c8143 + .quad 0x97da2f25b6c88de9 + .quad 0x251ba7eaacf20169 + .quad 0x09b44f87ef4eb4e4 + .quad 0x7d90ab1bbc6a7da5 + + // 2^12 * 5 * B + + .quad 0x9acca683a7016bfe + .quad 0x90505f4df2c50b6d + .quad 0x6b610d5fcce435aa + .quad 0x19a10d446198ff96 + .quad 0x1a07a3f496b3c397 + .quad 0x11ceaa188f4e2532 + .quad 0x7d9498d5a7751bf0 + .quad 0x19ed161f508dd8a0 + .quad 0x560a2cd687dce6ca + .quad 0x7f3568c48664cf4d + .quad 0x8741e95222803a38 + .quad 0x483bdab1595653fc + + // 2^12 * 6 * B + + .quad 0xfa780f148734fa49 + .quad 0x106f0b70360534e0 + .quad 0x2210776fe3e307bd + .quad 0x3286c109dde6a0fe + .quad 0xd6cf4d0ab4da80f6 + .quad 0x82483e45f8307fe0 + .quad 0x05005269ae6f9da4 + .quad 0x1c7052909cf7877a + .quad 0x32ee7de2874e98d4 + .quad 0x14c362e9b97e0c60 + .quad 0x5781dcde6a60a38a + .quad 0x217dd5eaaa7aa840 + + // 2^12 * 7 * B + + .quad 0x9db7c4d0248e1eb0 + .quad 0xe07697e14d74bf52 + .quad 0x1e6a9b173c562354 + .quad 0x7fa7c21f795a4965 + .quad 0x8bdf1fb9be8c0ec8 + .quad 0x00bae7f8e30a0282 + .quad 0x4963991dad6c4f6c + .quad 0x07058a6e5df6f60a + .quad 0xe9eb02c4db31f67f + .quad 0xed25fd8910bcfb2b + .quad 0x46c8131f5c5cddb4 + .quad 0x33b21c13a0cb9bce + + // 2^12 * 8 * B + + .quad 0x360692f8087d8e31 + .quad 0xf4dcc637d27163f7 + .quad 0x25a4e62065ea5963 + .quad 0x659bf72e5ac160d9 + .quad 0x9aafb9b05ee38c5b + .quad 0xbf9d2d4e071a13c7 + .quad 0x8eee6e6de933290a + .quad 0x1c3bab17ae109717 + .quad 0x1c9ab216c7cab7b0 + .quad 0x7d65d37407bbc3cc + .quad 0x52744750504a58d5 + .quad 0x09f2606b131a2990 + + // 2^16 * 1 * B + + .quad 0x40e87d44744346be + .quad 0x1d48dad415b52b25 + .quad 0x7c3a8a18a13b603e + .quad 0x4eb728c12fcdbdf7 + .quad 0x7e234c597c6691ae + .quad 0x64889d3d0a85b4c8 + .quad 0xdae2c90c354afae7 + .quad 0x0a871e070c6a9e1d + .quad 0x3301b5994bbc8989 + .quad 0x736bae3a5bdd4260 + .quad 0x0d61ade219d59e3c + .quad 0x3ee7300f2685d464 + + // 2^16 * 2 * B + + .quad 0xf5d255e49e7dd6b7 + .quad 0x8016115c610b1eac + .quad 0x3c99975d92e187ca + .quad 0x13815762979125c2 + .quad 0x43fa7947841e7518 + .quad 0xe5c6fa59639c46d7 + .quad 0xa1065e1de3052b74 + .quad 0x7d47c6a2cfb89030 + .quad 0x3fdad0148ef0d6e0 + .quad 0x9d3e749a91546f3c + .quad 0x71ec621026bb8157 + .quad 0x148cf58d34c9ec80 + + // 2^16 * 3 * B + + .quad 0x46a492f67934f027 + .quad 0x469984bef6840aa9 + .quad 0x5ca1bc2a89611854 + .quad 0x3ff2fa1ebd5dbbd4 + .quad 0xe2572f7d9ae4756d + .quad 0x56c345bb88f3487f + .quad 0x9fd10b6d6960a88d + .quad 0x278febad4eaea1b9 + .quad 0xb1aa681f8c933966 + .quad 0x8c21949c20290c98 + .quad 0x39115291219d3c52 + .quad 0x4104dd02fe9c677b + + // 2^16 * 4 * B + + .quad 0x72b2bf5e1124422a + .quad 0xa1fa0c3398a33ab5 + .quad 0x94cb6101fa52b666 + .quad 0x2c863b00afaf53d5 + .quad 0x81214e06db096ab8 + .quad 0x21a8b6c90ce44f35 + .quad 0x6524c12a409e2af5 + .quad 0x0165b5a48efca481 + .quad 0xf190a474a0846a76 + .quad 0x12eff984cd2f7cc0 + .quad 0x695e290658aa2b8f + .quad 0x591b67d9bffec8b8 + + // 2^16 * 5 * B + + .quad 0x312f0d1c80b49bfa + .quad 0x5979515eabf3ec8a + .quad 0x727033c09ef01c88 + .quad 0x3de02ec7ca8f7bcb + .quad 0x99b9b3719f18b55d + .quad 0xe465e5faa18c641e + .quad 0x61081136c29f05ed + .quad 0x489b4f867030128b + .quad 0xd232102d3aeb92ef + .quad 0xe16253b46116a861 + .quad 0x3d7eabe7190baa24 + .quad 0x49f5fbba496cbebf + + // 2^16 * 6 * B + + .quad 0x30949a108a5bcfd4 + .quad 0xdc40dd70bc6473eb + .quad 0x92c294c1307c0d1c + .quad 0x5604a86dcbfa6e74 + .quad 0x155d628c1e9c572e + .quad 0x8a4d86acc5884741 + .quad 0x91a352f6515763eb + .quad 0x06a1a6c28867515b + .quad 0x7288d1d47c1764b6 + .quad 0x72541140e0418b51 + .quad 0x9f031a6018acf6d1 + .quad 0x20989e89fe2742c6 + + // 2^16 * 7 * B + + .quad 0x499777fd3a2dcc7f + .quad 0x32857c2ca54fd892 + .quad 0xa279d864d207e3a0 + .quad 0x0403ed1d0ca67e29 + .quad 0x1674278b85eaec2e + .quad 0x5621dc077acb2bdf + .quad 0x640a4c1661cbf45a + .quad 0x730b9950f70595d3 + .quad 0xc94b2d35874ec552 + .quad 0xc5e6c8cf98246f8d + .quad 0xf7cb46fa16c035ce + .quad 0x5bd7454308303dcc + + // 2^16 * 8 * B + + .quad 0x7f9ad19528b24cc2 + .quad 0x7f6b54656335c181 + .quad 0x66b8b66e4fc07236 + .quad 0x133a78007380ad83 + .quad 0x85c4932115e7792a + .quad 0xc64c89a2bdcdddc9 + .quad 0x9d1e3da8ada3d762 + .quad 0x5bb7db123067f82c + .quad 0x0961f467c6ca62be + .quad 0x04ec21d6211952ee + .quad 0x182360779bd54770 + .quad 0x740dca6d58f0e0d2 + + // 2^20 * 1 * B + + .quad 0x50b70bf5d3f0af0b + .quad 0x4feaf48ae32e71f7 + .quad 0x60e84ed3a55bbd34 + .quad 0x00ed489b3f50d1ed + .quad 0x3906c72aed261ae5 + .quad 0x9ab68fd988e100f7 + .quad 0xf5e9059af3360197 + .quad 0x0e53dc78bf2b6d47 + .quad 0xb90829bf7971877a + .quad 0x5e4444636d17e631 + .quad 0x4d05c52e18276893 + .quad 0x27632d9a5a4a4af5 + + // 2^20 * 2 * B + + .quad 0xd11ff05154b260ce + .quad 0xd86dc38e72f95270 + .quad 0x601fcd0d267cc138 + .quad 0x2b67916429e90ccd + .quad 0xa98285d187eaffdb + .quad 0xa5b4fbbbd8d0a864 + .quad 0xb658f27f022663f7 + .quad 0x3bbc2b22d99ce282 + .quad 0xb917c952583c0a58 + .quad 0x653ff9b80fe4c6f3 + .quad 0x9b0da7d7bcdf3c0c + .quad 0x43a0eeb6ab54d60e + + // 2^20 * 3 * B + + .quad 0x396966a46d4a5487 + .quad 0xf811a18aac2bb3ba + .quad 0x66e4685b5628b26b + .quad 0x70a477029d929b92 + .quad 0x3ac6322357875fe8 + .quad 0xd9d4f4ecf5fbcb8f + .quad 0x8dee8493382bb620 + .quad 0x50c5eaa14c799fdc + .quad 0xdd0edc8bd6f2fb3c + .quad 0x54c63aa79cc7b7a0 + .quad 0xae0b032b2c8d9f1a + .quad 0x6f9ce107602967fb + + // 2^20 * 4 * B + + .quad 0xad1054b1cde1c22a + .quad 0xc4a8e90248eb32df + .quad 0x5f3e7b33accdc0ea + .quad 0x72364713fc79963e + .quad 0x139693063520e0b5 + .quad 0x437fcf7c88ea03fe + .quad 0xf7d4c40bd3c959bc + .quad 0x699154d1f893ded9 + .quad 0x315d5c75b4b27526 + .quad 0xcccb842d0236daa5 + .quad 0x22f0c8a3345fee8e + .quad 0x73975a617d39dbed + + // 2^20 * 5 * B + + .quad 0xe4024df96375da10 + .quad 0x78d3251a1830c870 + .quad 0x902b1948658cd91c + .quad 0x7e18b10b29b7438a + .quad 0x6f37f392f4433e46 + .quad 0x0e19b9a11f566b18 + .quad 0x220fb78a1fd1d662 + .quad 0x362a4258a381c94d + .quad 0x9071d9132b6beb2f + .quad 0x0f26e9ad28418247 + .quad 0xeab91ec9bdec925d + .quad 0x4be65bc8f48af2de + + // 2^20 * 6 * B + + .quad 0x78487feba36e7028 + .quad 0x5f3f13001dd8ce34 + .quad 0x934fb12d4b30c489 + .quad 0x056c244d397f0a2b + .quad 0x1d50fba257c26234 + .quad 0x7bd4823adeb0678b + .quad 0xc2b0dc6ea6538af5 + .quad 0x5665eec6351da73e + .quad 0xdb3ee00943bfb210 + .quad 0x4972018720800ac2 + .quad 0x26ab5d6173bd8667 + .quad 0x20b209c2ab204938 + + // 2^20 * 7 * B + + .quad 0x549e342ac07fb34b + .quad 0x02d8220821373d93 + .quad 0xbc262d70acd1f567 + .quad 0x7a92c9fdfbcac784 + .quad 0x1fcca94516bd3289 + .quad 0x448d65aa41420428 + .quad 0x59c3b7b216a55d62 + .quad 0x49992cc64e612cd8 + .quad 0x65bd1bea70f801de + .quad 0x1befb7c0fe49e28a + .quad 0xa86306cdb1b2ae4a + .quad 0x3b7ac0cd265c2a09 + + // 2^20 * 8 * B + + .quad 0x822bee438c01bcec + .quad 0x530cb525c0fbc73b + .quad 0x48519034c1953fe9 + .quad 0x265cc261e09a0f5b + .quad 0xf0d54e4f22ed39a7 + .quad 0xa2aae91e5608150a + .quad 0xf421b2e9eddae875 + .quad 0x31bc531d6b7de992 + .quad 0xdf3d134da980f971 + .quad 0x7a4fb8d1221a22a7 + .quad 0x3df7d42035aad6d8 + .quad 0x2a14edcc6a1a125e + + // 2^24 * 1 * B + + .quad 0xdf48ee0752cfce4e + .quad 0xc3fffaf306ec08b7 + .quad 0x05710b2ab95459c4 + .quad 0x161d25fa963ea38d + .quad 0x231a8c570478433c + .quad 0xb7b5270ec281439d + .quad 0xdbaa99eae3d9079f + .quad 0x2c03f5256c2b03d9 + .quad 0x790f18757b53a47d + .quad 0x307b0130cf0c5879 + .quad 0x31903d77257ef7f9 + .quad 0x699468bdbd96bbaf + + // 2^24 * 2 * B + + .quad 0xbd1f2f46f4dafecf + .quad 0x7cef0114a47fd6f7 + .quad 0xd31ffdda4a47b37f + .quad 0x525219a473905785 + .quad 0xd8dd3de66aa91948 + .quad 0x485064c22fc0d2cc + .quad 0x9b48246634fdea2f + .quad 0x293e1c4e6c4a2e3a + .quad 0x376e134b925112e1 + .quad 0x703778b5dca15da0 + .quad 0xb04589af461c3111 + .quad 0x5b605c447f032823 + + // 2^24 * 3 * B + + .quad 0xb965805920c47c89 + .quad 0xe7f0100c923b8fcc + .quad 0x0001256502e2ef77 + .quad 0x24a76dcea8aeb3ee + .quad 0x3be9fec6f0e7f04c + .quad 0x866a579e75e34962 + .quad 0x5542ef161e1de61a + .quad 0x2f12fef4cc5abdd5 + .quad 0x0a4522b2dfc0c740 + .quad 0x10d06e7f40c9a407 + .quad 0xc6cf144178cff668 + .quad 0x5e607b2518a43790 + + // 2^24 * 4 * B + + .quad 0x58b31d8f6cdf1818 + .quad 0x35cfa74fc36258a2 + .quad 0xe1b3ff4f66e61d6e + .quad 0x5067acab6ccdd5f7 + .quad 0xa02c431ca596cf14 + .quad 0xe3c42d40aed3e400 + .quad 0xd24526802e0f26db + .quad 0x201f33139e457068 + .quad 0xfd527f6b08039d51 + .quad 0x18b14964017c0006 + .quad 0xd5220eb02e25a4a8 + .quad 0x397cba8862460375 + + // 2^24 * 5 * B + + .quad 0x30c13093f05959b2 + .quad 0xe23aa18de9a97976 + .quad 0x222fd491721d5e26 + .quad 0x2339d320766e6c3a + .quad 0x7815c3fbc81379e7 + .quad 0xa6619420dde12af1 + .quad 0xffa9c0f885a8fdd5 + .quad 0x771b4022c1e1c252 + .quad 0xd87dd986513a2fa7 + .quad 0xf5ac9b71f9d4cf08 + .quad 0xd06bc31b1ea283b3 + .quad 0x331a189219971a76 + + // 2^24 * 6 * B + + .quad 0xf5166f45fb4f80c6 + .quad 0x9c36c7de61c775cf + .quad 0xe3d4e81b9041d91c + .quad 0x31167c6b83bdfe21 + .quad 0x26512f3a9d7572af + .quad 0x5bcbe28868074a9e + .quad 0x84edc1c11180f7c4 + .quad 0x1ac9619ff649a67b + .quad 0xf22b3842524b1068 + .quad 0x5068343bee9ce987 + .quad 0xfc9d71844a6250c8 + .quad 0x612436341f08b111 + + // 2^24 * 7 * B + + .quad 0xd99d41db874e898d + .quad 0x09fea5f16c07dc20 + .quad 0x793d2c67d00f9bbc + .quad 0x46ebe2309e5eff40 + .quad 0x8b6349e31a2d2638 + .quad 0x9ddfb7009bd3fd35 + .quad 0x7f8bf1b8a3a06ba4 + .quad 0x1522aa3178d90445 + .quad 0x2c382f5369614938 + .quad 0xdafe409ab72d6d10 + .quad 0xe8c83391b646f227 + .quad 0x45fe70f50524306c + + // 2^24 * 8 * B + + .quad 0xda4875a6960c0b8c + .quad 0x5b68d076ef0e2f20 + .quad 0x07fb51cf3d0b8fd4 + .quad 0x428d1623a0e392d4 + .quad 0x62f24920c8951491 + .quad 0x05f007c83f630ca2 + .quad 0x6fbb45d2f5c9d4b8 + .quad 0x16619f6db57a2245 + .quad 0x084f4a4401a308fd + .quad 0xa82219c376a5caac + .quad 0xdeb8de4643d1bc7d + .quad 0x1d81592d60bd38c6 + + // 2^28 * 1 * B + + .quad 0xd833d7beec2a4c38 + .quad 0x2c9162830acc20ed + .quad 0xe93a47aa92df7581 + .quad 0x702d67a3333c4a81 + .quad 0x3a4a369a2f89c8a1 + .quad 0x63137a1d7c8de80d + .quad 0xbcac008a78eda015 + .quad 0x2cb8b3a5b483b03f + .quad 0x36e417cbcb1b90a1 + .quad 0x33b3ddaa7f11794e + .quad 0x3f510808885bc607 + .quad 0x24141dc0e6a8020d + + // 2^28 * 2 * B + + .quad 0x59f73c773fefee9d + .quad 0xb3f1ef89c1cf989d + .quad 0xe35dfb42e02e545f + .quad 0x5766120b47a1b47c + .quad 0x91925dccbd83157d + .quad 0x3ca1205322cc8094 + .quad 0x28e57f183f90d6e4 + .quad 0x1a4714cede2e767b + .quad 0xdb20ba0fb8b6b7ff + .quad 0xb732c3b677511fa1 + .quad 0xa92b51c099f02d89 + .quad 0x4f3875ad489ca5f1 + + // 2^28 * 3 * B + + .quad 0xc7fc762f4932ab22 + .quad 0x7ac0edf72f4c3c1b + .quad 0x5f6b55aa9aa895e8 + .quad 0x3680274dad0a0081 + .quad 0x79ed13f6ee73eec0 + .quad 0xa5c6526d69110bb1 + .quad 0xe48928c38603860c + .quad 0x722a1446fd7059f5 + .quad 0xd0959fe9a8cf8819 + .quad 0xd0a995508475a99c + .quad 0x6eac173320b09cc5 + .quad 0x628ecf04331b1095 + + // 2^28 * 4 * B + + .quad 0x98bcb118a9d0ddbc + .quad 0xee449e3408b4802b + .quad 0x87089226b8a6b104 + .quad 0x685f349a45c7915d + .quad 0x9b41acf85c74ccf1 + .quad 0xb673318108265251 + .quad 0x99c92aed11adb147 + .quad 0x7a47d70d34ecb40f + .quad 0x60a0c4cbcc43a4f5 + .quad 0x775c66ca3677bea9 + .quad 0xa17aa1752ff8f5ed + .quad 0x11ded9020e01fdc0 + + // 2^28 * 5 * B + + .quad 0x890e7809caefe704 + .quad 0x8728296de30e8c6c + .quad 0x4c5cd2a392aeb1c9 + .quad 0x194263d15771531f + .quad 0x471f95b03bea93b7 + .quad 0x0552d7d43313abd3 + .quad 0xbd9370e2e17e3f7b + .quad 0x7b120f1db20e5bec + .quad 0x17d2fb3d86502d7a + .quad 0xb564d84450a69352 + .quad 0x7da962c8a60ed75d + .quad 0x00d0f85b318736aa + + // 2^28 * 6 * B + + .quad 0x978b142e777c84fd + .quad 0xf402644705a8c062 + .quad 0xa67ad51be7e612c7 + .quad 0x2f7b459698dd6a33 + .quad 0xa6753c1efd7621c1 + .quad 0x69c0b4a7445671f5 + .quad 0x971f527405b23c11 + .quad 0x387bc74851a8c7cd + .quad 0x81894b4d4a52a9a8 + .quad 0xadd93e12f6b8832f + .quad 0x184d8548b61bd638 + .quad 0x3f1c62dbd6c9f6cd + + // 2^28 * 7 * B + + .quad 0x2e8f1f0091910c1f + .quad 0xa4df4fe0bff2e12c + .quad 0x60c6560aee927438 + .quad 0x6338283facefc8fa + .quad 0x3fad3e40148f693d + .quad 0x052656e194eb9a72 + .quad 0x2f4dcbfd184f4e2f + .quad 0x406f8db1c482e18b + .quad 0x9e630d2c7f191ee4 + .quad 0x4fbf8301bc3ff670 + .quad 0x787d8e4e7afb73c4 + .quad 0x50d83d5be8f58fa5 + + // 2^28 * 8 * B + + .quad 0x85683916c11a1897 + .quad 0x2d69a4efe506d008 + .quad 0x39af1378f664bd01 + .quad 0x65942131361517c6 + .quad 0xc0accf90b4d3b66d + .quad 0xa7059de561732e60 + .quad 0x033d1f7870c6b0ba + .quad 0x584161cd26d946e4 + .quad 0xbbf2b1a072d27ca2 + .quad 0xbf393c59fbdec704 + .quad 0xe98dbbcee262b81e + .quad 0x02eebd0b3029b589 + + // 2^32 * 1 * B + + .quad 0x61368756a60dac5f + .quad 0x17e02f6aebabdc57 + .quad 0x7f193f2d4cce0f7d + .quad 0x20234a7789ecdcf0 + .quad 0x8765b69f7b85c5e8 + .quad 0x6ff0678bd168bab2 + .quad 0x3a70e77c1d330f9b + .quad 0x3a5f6d51b0af8e7c + .quad 0x76d20db67178b252 + .quad 0x071c34f9d51ed160 + .quad 0xf62a4a20b3e41170 + .quad 0x7cd682353cffe366 + + // 2^32 * 2 * B + + .quad 0x0be1a45bd887fab6 + .quad 0x2a846a32ba403b6e + .quad 0xd9921012e96e6000 + .quad 0x2838c8863bdc0943 + .quad 0xa665cd6068acf4f3 + .quad 0x42d92d183cd7e3d3 + .quad 0x5759389d336025d9 + .quad 0x3ef0253b2b2cd8ff + .quad 0xd16bb0cf4a465030 + .quad 0xfa496b4115c577ab + .quad 0x82cfae8af4ab419d + .quad 0x21dcb8a606a82812 + + // 2^32 * 3 * B + + .quad 0x5c6004468c9d9fc8 + .quad 0x2540096ed42aa3cb + .quad 0x125b4d4c12ee2f9c + .quad 0x0bc3d08194a31dab + .quad 0x9a8d00fabe7731ba + .quad 0x8203607e629e1889 + .quad 0xb2cc023743f3d97f + .quad 0x5d840dbf6c6f678b + .quad 0x706e380d309fe18b + .quad 0x6eb02da6b9e165c7 + .quad 0x57bbba997dae20ab + .quad 0x3a4276232ac196dd + + // 2^32 * 4 * B + + .quad 0x4b42432c8a7084fa + .quad 0x898a19e3dfb9e545 + .quad 0xbe9f00219c58e45d + .quad 0x1ff177cea16debd1 + .quad 0x3bf8c172db447ecb + .quad 0x5fcfc41fc6282dbd + .quad 0x80acffc075aa15fe + .quad 0x0770c9e824e1a9f9 + .quad 0xcf61d99a45b5b5fd + .quad 0x860984e91b3a7924 + .quad 0xe7300919303e3e89 + .quad 0x39f264fd41500b1e + + // 2^32 * 5 * B + + .quad 0xa7ad3417dbe7e29c + .quad 0xbd94376a2b9c139c + .quad 0xa0e91b8e93597ba9 + .quad 0x1712d73468889840 + .quad 0xd19b4aabfe097be1 + .quad 0xa46dfce1dfe01929 + .quad 0xc3c908942ca6f1ff + .quad 0x65c621272c35f14e + .quad 0xe72b89f8ce3193dd + .quad 0x4d103356a125c0bb + .quad 0x0419a93d2e1cfe83 + .quad 0x22f9800ab19ce272 + + // 2^32 * 6 * B + + .quad 0x605a368a3e9ef8cb + .quad 0xe3e9c022a5504715 + .quad 0x553d48b05f24248f + .quad 0x13f416cd647626e5 + .quad 0x42029fdd9a6efdac + .quad 0xb912cebe34a54941 + .quad 0x640f64b987bdf37b + .quad 0x4171a4d38598cab4 + .quad 0xfa2758aa99c94c8c + .quad 0x23006f6fb000b807 + .quad 0xfbd291ddadda5392 + .quad 0x508214fa574bd1ab + + // 2^32 * 7 * B + + .quad 0xc20269153ed6fe4b + .quad 0xa65a6739511d77c4 + .quad 0xcbde26462c14af94 + .quad 0x22f960ec6faba74b + .quad 0x461a15bb53d003d6 + .quad 0xb2102888bcf3c965 + .quad 0x27c576756c683a5a + .quad 0x3a7758a4c86cb447 + .quad 0x548111f693ae5076 + .quad 0x1dae21df1dfd54a6 + .quad 0x12248c90f3115e65 + .quad 0x5d9fd15f8de7f494 + + // 2^32 * 8 * B + + .quad 0x031408d36d63727f + .quad 0x6a379aefd7c7b533 + .quad 0xa9e18fc5ccaee24b + .quad 0x332f35914f8fbed3 + .quad 0x3f244d2aeed7521e + .quad 0x8e3a9028432e9615 + .quad 0xe164ba772e9c16d4 + .quad 0x3bc187fa47eb98d8 + .quad 0x6d470115ea86c20c + .quad 0x998ab7cb6c46d125 + .quad 0xd77832b53a660188 + .quad 0x450d81ce906fba03 + + // 2^36 * 1 * B + + .quad 0xf8ae4d2ad8453902 + .quad 0x7018058ee8db2d1d + .quad 0xaab3995fc7d2c11e + .quad 0x53b16d2324ccca79 + .quad 0x23264d66b2cae0b5 + .quad 0x7dbaed33ebca6576 + .quad 0x030ebed6f0d24ac8 + .quad 0x2a887f78f7635510 + .quad 0x2a23b9e75c012d4f + .quad 0x0c974651cae1f2ea + .quad 0x2fb63273675d70ca + .quad 0x0ba7250b864403f5 + + // 2^36 * 2 * B + + .quad 0xbb0d18fd029c6421 + .quad 0xbc2d142189298f02 + .quad 0x8347f8e68b250e96 + .quad 0x7b9f2fe8032d71c9 + .quad 0xdd63589386f86d9c + .quad 0x61699176e13a85a4 + .quad 0x2e5111954eaa7d57 + .quad 0x32c21b57fb60bdfb + .quad 0xd87823cd319e0780 + .quad 0xefc4cfc1897775c5 + .quad 0x4854fb129a0ab3f7 + .quad 0x12c49d417238c371 + + // 2^36 * 3 * B + + .quad 0x0950b533ffe83769 + .quad 0x21861c1d8e1d6bd1 + .quad 0xf022d8381302e510 + .quad 0x2509200c6391cab4 + .quad 0x09b3a01783799542 + .quad 0x626dd08faad5ee3f + .quad 0xba00bceeeb70149f + .quad 0x1421b246a0a444c9 + .quad 0x4aa43a8e8c24a7c7 + .quad 0x04c1f540d8f05ef5 + .quad 0xadba5e0c0b3eb9dc + .quad 0x2ab5504448a49ce3 + + // 2^36 * 4 * B + + .quad 0x2ed227266f0f5dec + .quad 0x9824ee415ed50824 + .quad 0x807bec7c9468d415 + .quad 0x7093bae1b521e23f + .quad 0xdc07ac631c5d3afa + .quad 0x58615171f9df8c6c + .quad 0x72a079d89d73e2b0 + .quad 0x7301f4ceb4eae15d + .quad 0x6409e759d6722c41 + .quad 0xa674e1cf72bf729b + .quad 0xbc0a24eb3c21e569 + .quad 0x390167d24ebacb23 + + // 2^36 * 5 * B + + .quad 0x27f58e3bba353f1c + .quad 0x4c47764dbf6a4361 + .quad 0xafbbc4e56e562650 + .quad 0x07db2ee6aae1a45d + .quad 0xd7bb054ba2f2120b + .quad 0xe2b9ceaeb10589b7 + .quad 0x3fe8bac8f3c0edbe + .quad 0x4cbd40767112cb69 + .quad 0x0b603cc029c58176 + .quad 0x5988e3825cb15d61 + .quad 0x2bb61413dcf0ad8d + .quad 0x7b8eec6c74183287 + + // 2^36 * 6 * B + + .quad 0xe4ca40782cd27cb0 + .quad 0xdaf9c323fbe967bd + .quad 0xb29bd34a8ad41e9e + .quad 0x72810497626ede4d + .quad 0x32fee570fc386b73 + .quad 0xda8b0141da3a8cc7 + .quad 0x975ffd0ac8968359 + .quad 0x6ee809a1b132a855 + .quad 0x9444bb31fcfd863a + .quad 0x2fe3690a3e4e48c5 + .quad 0xdc29c867d088fa25 + .quad 0x13bd1e38d173292e + + // 2^36 * 7 * B + + .quad 0xd32b4cd8696149b5 + .quad 0xe55937d781d8aab7 + .quad 0x0bcb2127ae122b94 + .quad 0x41e86fcfb14099b0 + .quad 0x223fb5cf1dfac521 + .quad 0x325c25316f554450 + .quad 0x030b98d7659177ac + .quad 0x1ed018b64f88a4bd + .quad 0x3630dfa1b802a6b0 + .quad 0x880f874742ad3bd5 + .quad 0x0af90d6ceec5a4d4 + .quad 0x746a247a37cdc5d9 + + // 2^36 * 8 * B + + .quad 0xd531b8bd2b7b9af6 + .quad 0x5005093537fc5b51 + .quad 0x232fcf25c593546d + .quad 0x20a365142bb40f49 + .quad 0x6eccd85278d941ed + .quad 0x2254ae83d22f7843 + .quad 0xc522d02e7bbfcdb7 + .quad 0x681e3351bff0e4e2 + .quad 0x8b64b59d83034f45 + .quad 0x2f8b71f21fa20efb + .quad 0x69249495ba6550e4 + .quad 0x539ef98e45d5472b + + // 2^40 * 1 * B + + .quad 0x6e7bb6a1a6205275 + .quad 0xaa4f21d7413c8e83 + .quad 0x6f56d155e88f5cb2 + .quad 0x2de25d4ba6345be1 + .quad 0xd074d8961cae743f + .quad 0xf86d18f5ee1c63ed + .quad 0x97bdc55be7f4ed29 + .quad 0x4cbad279663ab108 + .quad 0x80d19024a0d71fcd + .quad 0xc525c20afb288af8 + .quad 0xb1a3974b5f3a6419 + .quad 0x7d7fbcefe2007233 + + // 2^40 * 2 * B + + .quad 0xfaef1e6a266b2801 + .quad 0x866c68c4d5739f16 + .quad 0xf68a2fbc1b03762c + .quad 0x5975435e87b75a8d + .quad 0xcd7c5dc5f3c29094 + .quad 0xc781a29a2a9105ab + .quad 0x80c61d36421c3058 + .quad 0x4f9cd196dcd8d4d7 + .quad 0x199297d86a7b3768 + .quad 0xd0d058241ad17a63 + .quad 0xba029cad5c1c0c17 + .quad 0x7ccdd084387a0307 + + // 2^40 * 3 * B + + .quad 0xdca6422c6d260417 + .quad 0xae153d50948240bd + .quad 0xa9c0c1b4fb68c677 + .quad 0x428bd0ed61d0cf53 + .quad 0x9b0c84186760cc93 + .quad 0xcdae007a1ab32a99 + .quad 0xa88dec86620bda18 + .quad 0x3593ca848190ca44 + .quad 0x9213189a5e849aa7 + .quad 0xd4d8c33565d8facd + .quad 0x8c52545b53fdbbd1 + .quad 0x27398308da2d63e6 + + // 2^40 * 4 * B + + .quad 0x42c38d28435ed413 + .quad 0xbd50f3603278ccc9 + .quad 0xbb07ab1a79da03ef + .quad 0x269597aebe8c3355 + .quad 0xb9a10e4c0a702453 + .quad 0x0fa25866d57d1bde + .quad 0xffb9d9b5cd27daf7 + .quad 0x572c2945492c33fd + .quad 0xc77fc745d6cd30be + .quad 0xe4dfe8d3e3baaefb + .quad 0xa22c8830aa5dda0c + .quad 0x7f985498c05bca80 + + // 2^40 * 5 * B + + .quad 0x3849ce889f0be117 + .quad 0x8005ad1b7b54a288 + .quad 0x3da3c39f23fc921c + .quad 0x76c2ec470a31f304 + .quad 0xd35615520fbf6363 + .quad 0x08045a45cf4dfba6 + .quad 0xeec24fbc873fa0c2 + .quad 0x30f2653cd69b12e7 + .quad 0x8a08c938aac10c85 + .quad 0x46179b60db276bcb + .quad 0xa920c01e0e6fac70 + .quad 0x2f1273f1596473da + + // 2^40 * 6 * B + + .quad 0x4739fc7c8ae01e11 + .quad 0xfd5274904a6aab9f + .quad 0x41d98a8287728f2e + .quad 0x5d9e572ad85b69f2 + .quad 0x30488bd755a70bc0 + .quad 0x06d6b5a4f1d442e7 + .quad 0xead1a69ebc596162 + .quad 0x38ac1997edc5f784 + .quad 0x0666b517a751b13b + .quad 0x747d06867e9b858c + .quad 0xacacc011454dde49 + .quad 0x22dfcd9cbfe9e69c + + // 2^40 * 7 * B + + .quad 0x8ddbd2e0c30d0cd9 + .quad 0xad8e665facbb4333 + .quad 0x8f6b258c322a961f + .quad 0x6b2916c05448c1c7 + .quad 0x56ec59b4103be0a1 + .quad 0x2ee3baecd259f969 + .quad 0x797cb29413f5cd32 + .quad 0x0fe9877824cde472 + .quad 0x7edb34d10aba913b + .quad 0x4ea3cd822e6dac0e + .quad 0x66083dff6578f815 + .quad 0x4c303f307ff00a17 + + // 2^40 * 8 * B + + .quad 0xd30a3bd617b28c85 + .quad 0xc5d377b739773bea + .quad 0xc6c6e78c1e6a5cbf + .quad 0x0d61b8f78b2ab7c4 + .quad 0x29fc03580dd94500 + .quad 0xecd27aa46fbbec93 + .quad 0x130a155fc2e2a7f8 + .quad 0x416b151ab706a1d5 + .quad 0x56a8d7efe9c136b0 + .quad 0xbd07e5cd58e44b20 + .quad 0xafe62fda1b57e0ab + .quad 0x191a2af74277e8d2 + + // 2^44 * 1 * B + + .quad 0xd550095bab6f4985 + .quad 0x04f4cd5b4fbfaf1a + .quad 0x9d8e2ed12a0c7540 + .quad 0x2bc24e04b2212286 + .quad 0x09d4b60b2fe09a14 + .quad 0xc384f0afdbb1747e + .quad 0x58e2ea8978b5fd6e + .quad 0x519ef577b5e09b0a + .quad 0x1863d7d91124cca9 + .quad 0x7ac08145b88a708e + .quad 0x2bcd7309857031f5 + .quad 0x62337a6e8ab8fae5 + + // 2^44 * 2 * B + + .quad 0x4bcef17f06ffca16 + .quad 0xde06e1db692ae16a + .quad 0x0753702d614f42b0 + .quad 0x5f6041b45b9212d0 + .quad 0xd1ab324e1b3a1273 + .quad 0x18947cf181055340 + .quad 0x3b5d9567a98c196e + .quad 0x7fa00425802e1e68 + .quad 0x7d531574028c2705 + .quad 0x80317d69db0d75fe + .quad 0x30fface8ef8c8ddd + .quad 0x7e9de97bb6c3e998 + + // 2^44 * 3 * B + + .quad 0x1558967b9e6585a3 + .quad 0x97c99ce098e98b92 + .quad 0x10af149b6eb3adad + .quad 0x42181fe8f4d38cfa + .quad 0xf004be62a24d40dd + .quad 0xba0659910452d41f + .quad 0x81c45ee162a44234 + .quad 0x4cb829d8a22266ef + .quad 0x1dbcaa8407b86681 + .quad 0x081f001e8b26753b + .quad 0x3cd7ce6a84048e81 + .quad 0x78af11633f25f22c + + // 2^44 * 4 * B + + .quad 0x8416ebd40b50babc + .quad 0x1508722628208bee + .quad 0xa3148fafb9c1c36d + .quad 0x0d07daacd32d7d5d + .quad 0x3241c00e7d65318c + .quad 0xe6bee5dcd0e86de7 + .quad 0x118b2dc2fbc08c26 + .quad 0x680d04a7fc603dc3 + .quad 0xf9c2414a695aa3eb + .quad 0xdaa42c4c05a68f21 + .quad 0x7c6c23987f93963e + .quad 0x210e8cd30c3954e3 + + // 2^44 * 5 * B + + .quad 0xac4201f210a71c06 + .quad 0x6a65e0aef3bfb021 + .quad 0xbc42c35c393632f7 + .quad 0x56ea8db1865f0742 + .quad 0x2b50f16137fe6c26 + .quad 0xe102bcd856e404d8 + .quad 0x12b0f1414c561f6b + .quad 0x51b17bc8d028ec91 + .quad 0xfff5fb4bcf535119 + .quad 0xf4989d79df1108a0 + .quad 0xbdfcea659a3ba325 + .quad 0x18a11f1174d1a6f2 + + // 2^44 * 6 * B + + .quad 0x407375ab3f6bba29 + .quad 0x9ec3b6d8991e482e + .quad 0x99c80e82e55f92e9 + .quad 0x307c13b6fb0c0ae1 + .quad 0xfbd63cdad27a5f2c + .quad 0xf00fc4bc8aa106d7 + .quad 0x53fb5c1a8e64a430 + .quad 0x04eaabe50c1a2e85 + .quad 0x24751021cb8ab5e7 + .quad 0xfc2344495c5010eb + .quad 0x5f1e717b4e5610a1 + .quad 0x44da5f18c2710cd5 + + // 2^44 * 7 * B + + .quad 0x033cc55ff1b82eb5 + .quad 0xb15ae36d411cae52 + .quad 0xba40b6198ffbacd3 + .quad 0x768edce1532e861f + .quad 0x9156fe6b89d8eacc + .quad 0xe6b79451e23126a1 + .quad 0xbd7463d93944eb4e + .quad 0x726373f6767203ae + .quad 0xe305ca72eb7ef68a + .quad 0x662cf31f70eadb23 + .quad 0x18f026fdb4c45b68 + .quad 0x513b5384b5d2ecbd + + // 2^44 * 8 * B + + .quad 0x46d46280c729989e + .quad 0x4b93fbd05368a5dd + .quad 0x63df3f81d1765a89 + .quad 0x34cebd64b9a0a223 + .quad 0x5e2702878af34ceb + .quad 0x900b0409b946d6ae + .quad 0x6512ebf7dabd8512 + .quad 0x61d9b76988258f81 + .quad 0xa6c5a71349b7d94b + .quad 0xa3f3d15823eb9446 + .quad 0x0416fbd277484834 + .quad 0x69d45e6f2c70812f + + // 2^48 * 1 * B + + .quad 0xce16f74bc53c1431 + .quad 0x2b9725ce2072edde + .quad 0xb8b9c36fb5b23ee7 + .quad 0x7e2e0e450b5cc908 + .quad 0x9fe62b434f460efb + .quad 0xded303d4a63607d6 + .quad 0xf052210eb7a0da24 + .quad 0x237e7dbe00545b93 + .quad 0x013575ed6701b430 + .quad 0x231094e69f0bfd10 + .quad 0x75320f1583e47f22 + .quad 0x71afa699b11155e3 + + // 2^48 * 2 * B + + .quad 0x65ce6f9b3953b61d + .quad 0xc65839eaafa141e6 + .quad 0x0f435ffda9f759fe + .quad 0x021142e9c2b1c28e + .quad 0xea423c1c473b50d6 + .quad 0x51e87a1f3b38ef10 + .quad 0x9b84bf5fb2c9be95 + .quad 0x00731fbc78f89a1c + .quad 0xe430c71848f81880 + .quad 0xbf960c225ecec119 + .quad 0xb6dae0836bba15e3 + .quad 0x4c4d6f3347e15808 + + // 2^48 * 3 * B + + .quad 0x18f7eccfc17d1fc9 + .quad 0x6c75f5a651403c14 + .quad 0xdbde712bf7ee0cdf + .quad 0x193fddaaa7e47a22 + .quad 0x2f0cddfc988f1970 + .quad 0x6b916227b0b9f51b + .quad 0x6ec7b6c4779176be + .quad 0x38bf9500a88f9fa8 + .quad 0x1fd2c93c37e8876f + .quad 0xa2f61e5a18d1462c + .quad 0x5080f58239241276 + .quad 0x6a6fb99ebf0d4969 + + // 2^48 * 4 * B + + .quad 0x6a46c1bb560855eb + .quad 0x2416bb38f893f09d + .quad 0xd71d11378f71acc1 + .quad 0x75f76914a31896ea + .quad 0xeeb122b5b6e423c6 + .quad 0x939d7010f286ff8e + .quad 0x90a92a831dcf5d8c + .quad 0x136fda9f42c5eb10 + .quad 0xf94cdfb1a305bdd1 + .quad 0x0f364b9d9ff82c08 + .quad 0x2a87d8a5c3bb588a + .quad 0x022183510be8dcba + + // 2^48 * 5 * B + + .quad 0x4af766385ead2d14 + .quad 0xa08ed880ca7c5830 + .quad 0x0d13a6e610211e3d + .quad 0x6a071ce17b806c03 + .quad 0x9d5a710143307a7f + .quad 0xb063de9ec47da45f + .quad 0x22bbfe52be927ad3 + .quad 0x1387c441fd40426c + .quad 0xb5d3c3d187978af8 + .quad 0x722b5a3d7f0e4413 + .quad 0x0d7b4848bb477ca0 + .quad 0x3171b26aaf1edc92 + + // 2^48 * 6 * B + + .quad 0xa92f319097564ca8 + .quad 0xff7bb84c2275e119 + .quad 0x4f55fe37a4875150 + .quad 0x221fd4873cf0835a + .quad 0xa60db7d8b28a47d1 + .quad 0xa6bf14d61770a4f1 + .quad 0xd4a1f89353ddbd58 + .quad 0x6c514a63344243e9 + .quad 0x2322204f3a156341 + .quad 0xfb73e0e9ba0a032d + .quad 0xfce0dd4c410f030e + .quad 0x48daa596fb924aaa + + // 2^48 * 7 * B + + .quad 0x6eca8e665ca59cc7 + .quad 0xa847254b2e38aca0 + .quad 0x31afc708d21e17ce + .quad 0x676dd6fccad84af7 + .quad 0x14f61d5dc84c9793 + .quad 0x9941f9e3ef418206 + .quad 0xcdf5b88f346277ac + .quad 0x58c837fa0e8a79a9 + .quad 0x0cf9688596fc9058 + .quad 0x1ddcbbf37b56a01b + .quad 0xdcc2e77d4935d66a + .quad 0x1c4f73f2c6a57f0a + + // 2^48 * 8 * B + + .quad 0x0e7a4fbd305fa0bb + .quad 0x829d4ce054c663ad + .quad 0xf421c3832fe33848 + .quad 0x795ac80d1bf64c42 + .quad 0xb36e706efc7c3484 + .quad 0x73dfc9b4c3c1cf61 + .quad 0xeb1d79c9781cc7e5 + .quad 0x70459adb7daf675c + .quad 0x1b91db4991b42bb3 + .quad 0x572696234b02dcca + .quad 0x9fdf9ee51f8c78dc + .quad 0x5fe162848ce21fd3 + + // 2^52 * 1 * B + + .quad 0xe2790aae4d077c41 + .quad 0x8b938270db7469a3 + .quad 0x6eb632dc8abd16a2 + .quad 0x720814ecaa064b72 + .quad 0x315c29c795115389 + .quad 0xd7e0e507862f74ce + .quad 0x0c4a762185927432 + .quad 0x72de6c984a25a1e4 + .quad 0xae9ab553bf6aa310 + .quad 0x050a50a9806d6e1b + .quad 0x92bb7403adff5139 + .quad 0x0394d27645be618b + + // 2^52 * 2 * B + + .quad 0x4d572251857eedf4 + .quad 0xe3724edde19e93c5 + .quad 0x8a71420e0b797035 + .quad 0x3b3c833687abe743 + .quad 0xf5396425b23545a4 + .quad 0x15a7a27e98fbb296 + .quad 0xab6c52bc636fdd86 + .quad 0x79d995a8419334ee + .quad 0xcd8a8ea61195dd75 + .quad 0xa504d8a81dd9a82f + .quad 0x540dca81a35879b6 + .quad 0x60dd16a379c86a8a + + // 2^52 * 3 * B + + .quad 0x35a2c8487381e559 + .quad 0x596ffea6d78082cb + .quad 0xcb9771ebdba7b653 + .quad 0x5a08b5019b4da685 + .quad 0x3501d6f8153e47b8 + .quad 0xb7a9675414a2f60c + .quad 0x112ee8b6455d9523 + .quad 0x4e62a3c18112ea8a + .quad 0xc8d4ac04516ab786 + .quad 0x595af3215295b23d + .quad 0xd6edd234db0230c1 + .quad 0x0929efe8825b41cc + + // 2^52 * 4 * B + + .quad 0x5f0601d1cbd0f2d3 + .quad 0x736e412f6132bb7f + .quad 0x83604432238dde87 + .quad 0x1e3a5272f5c0753c + .quad 0x8b3172b7ad56651d + .quad 0x01581b7a3fabd717 + .quad 0x2dc94df6424df6e4 + .quad 0x30376e5d2c29284f + .quad 0xd2918da78159a59c + .quad 0x6bdc1cd93f0713f3 + .quad 0x565f7a934acd6590 + .quad 0x53daacec4cb4c128 + + // 2^52 * 5 * B + + .quad 0x4ca73bd79cc8a7d6 + .quad 0x4d4a738f47e9a9b2 + .quad 0xf4cbf12942f5fe00 + .quad 0x01a13ff9bdbf0752 + .quad 0x99852bc3852cfdb0 + .quad 0x2cc12e9559d6ed0b + .quad 0x70f9e2bf9b5ac27b + .quad 0x4f3b8c117959ae99 + .quad 0x55b6c9c82ff26412 + .quad 0x1ac4a8c91fb667a8 + .quad 0xd527bfcfeb778bf2 + .quad 0x303337da7012a3be + + // 2^52 * 6 * B + + .quad 0x955422228c1c9d7c + .quad 0x01fac1371a9b340f + .quad 0x7e8d9177925b48d7 + .quad 0x53f8ad5661b3e31b + .quad 0x976d3ccbfad2fdd1 + .quad 0xcb88839737a640a8 + .quad 0x2ff00c1d6734cb25 + .quad 0x269ff4dc789c2d2b + .quad 0x0c003fbdc08d678d + .quad 0x4d982fa37ead2b17 + .quad 0xc07e6bcdb2e582f1 + .quad 0x296c7291df412a44 + + // 2^52 * 7 * B + + .quad 0x7903de2b33daf397 + .quad 0xd0ff0619c9a624b3 + .quad 0x8a1d252b555b3e18 + .quad 0x2b6d581c52e0b7c0 + .quad 0xdfb23205dab8b59e + .quad 0x465aeaa0c8092250 + .quad 0xd133c1189a725d18 + .quad 0x2327370261f117d1 + .quad 0x3d0543d3623e7986 + .quad 0x679414c2c278a354 + .quad 0xae43f0cc726196f6 + .quad 0x7836c41f8245eaba + + // 2^52 * 8 * B + + .quad 0xe7a254db49e95a81 + .quad 0x5192d5d008b0ad73 + .quad 0x4d20e5b1d00afc07 + .quad 0x5d55f8012cf25f38 + .quad 0xca651e848011937c + .quad 0xc6b0c46e6ef41a28 + .quad 0xb7021ba75f3f8d52 + .quad 0x119dff99ead7b9fd + .quad 0x43eadfcbf4b31d4d + .quad 0xc6503f7411148892 + .quad 0xfeee68c5060d3b17 + .quad 0x329293b3dd4a0ac8 + + // 2^56 * 1 * B + + .quad 0x4e59214fe194961a + .quad 0x49be7dc70d71cd4f + .quad 0x9300cfd23b50f22d + .quad 0x4789d446fc917232 + .quad 0x2879852d5d7cb208 + .quad 0xb8dedd70687df2e7 + .quad 0xdc0bffab21687891 + .quad 0x2b44c043677daa35 + .quad 0x1a1c87ab074eb78e + .quad 0xfac6d18e99daf467 + .quad 0x3eacbbcd484f9067 + .quad 0x60c52eef2bb9a4e4 + + // 2^56 * 2 * B + + .quad 0x0b5d89bc3bfd8bf1 + .quad 0xb06b9237c9f3551a + .quad 0x0e4c16b0d53028f5 + .quad 0x10bc9c312ccfcaab + .quad 0x702bc5c27cae6d11 + .quad 0x44c7699b54a48cab + .quad 0xefbc4056ba492eb2 + .quad 0x70d77248d9b6676d + .quad 0xaa8ae84b3ec2a05b + .quad 0x98699ef4ed1781e0 + .quad 0x794513e4708e85d1 + .quad 0x63755bd3a976f413 + + // 2^56 * 3 * B + + .quad 0xb55fa03e2ad10853 + .quad 0x356f75909ee63569 + .quad 0x9ff9f1fdbe69b890 + .quad 0x0d8cc1c48bc16f84 + .quad 0x3dc7101897f1acb7 + .quad 0x5dda7d5ec165bbd8 + .quad 0x508e5b9c0fa1020f + .quad 0x2763751737c52a56 + .quad 0x029402d36eb419a9 + .quad 0xf0b44e7e77b460a5 + .quad 0xcfa86230d43c4956 + .quad 0x70c2dd8a7ad166e7 + + // 2^56 * 4 * B + + .quad 0x656194509f6fec0e + .quad 0xee2e7ea946c6518d + .quad 0x9733c1f367e09b5c + .quad 0x2e0fac6363948495 + .quad 0x91d4967db8ed7e13 + .quad 0x74252f0ad776817a + .quad 0xe40982e00d852564 + .quad 0x32b8613816a53ce5 + .quad 0x79e7f7bee448cd64 + .quad 0x6ac83a67087886d0 + .quad 0xf89fd4d9a0e4db2e + .quad 0x4179215c735a4f41 + + // 2^56 * 5 * B + + .quad 0x8c7094e7d7dced2a + .quad 0x97fb8ac347d39c70 + .quad 0xe13be033a906d902 + .quad 0x700344a30cd99d76 + .quad 0xe4ae33b9286bcd34 + .quad 0xb7ef7eb6559dd6dc + .quad 0x278b141fb3d38e1f + .quad 0x31fa85662241c286 + .quad 0xaf826c422e3622f4 + .quad 0xc12029879833502d + .quad 0x9bc1b7e12b389123 + .quad 0x24bb2312a9952489 + + // 2^56 * 6 * B + + .quad 0xb1a8ed1732de67c3 + .quad 0x3cb49418461b4948 + .quad 0x8ebd434376cfbcd2 + .quad 0x0fee3e871e188008 + .quad 0x41f80c2af5f85c6b + .quad 0x687284c304fa6794 + .quad 0x8945df99a3ba1bad + .quad 0x0d1d2af9ffeb5d16 + .quad 0xa9da8aa132621edf + .quad 0x30b822a159226579 + .quad 0x4004197ba79ac193 + .quad 0x16acd79718531d76 + + // 2^56 * 7 * B + + .quad 0x72df72af2d9b1d3d + .quad 0x63462a36a432245a + .quad 0x3ecea07916b39637 + .quad 0x123e0ef6b9302309 + .quad 0xc959c6c57887b6ad + .quad 0x94e19ead5f90feba + .quad 0x16e24e62a342f504 + .quad 0x164ed34b18161700 + .quad 0x487ed94c192fe69a + .quad 0x61ae2cea3a911513 + .quad 0x877bf6d3b9a4de27 + .quad 0x78da0fc61073f3eb + + // 2^56 * 8 * B + + .quad 0x5bf15d28e52bc66a + .quad 0x2c47e31870f01a8e + .quad 0x2419afbc06c28bdd + .quad 0x2d25deeb256b173a + .quad 0xa29f80f1680c3a94 + .quad 0x71f77e151ae9e7e6 + .quad 0x1100f15848017973 + .quad 0x054aa4b316b38ddd + .quad 0xdfc8468d19267cb8 + .quad 0x0b28789c66e54daf + .quad 0x2aeb1d2a666eec17 + .quad 0x134610a6ab7da760 + + // 2^60 * 1 * B + + .quad 0xcaf55ec27c59b23f + .quad 0x99aeed3e154d04f2 + .quad 0x68441d72e14141f4 + .quad 0x140345133932a0a2 + .quad 0xd91430e0dc028c3c + .quad 0x0eb955a85217c771 + .quad 0x4b09e1ed2c99a1fa + .quad 0x42881af2bd6a743c + .quad 0x7bfec69aab5cad3d + .quad 0xc23e8cd34cb2cfad + .quad 0x685dd14bfb37d6a2 + .quad 0x0ad6d64415677a18 + + // 2^60 * 2 * B + + .quad 0x781a439e417becb5 + .quad 0x4ac5938cd10e0266 + .quad 0x5da385110692ac24 + .quad 0x11b065a2ade31233 + .quad 0x7914892847927e9f + .quad 0x33dad6ef370aa877 + .quad 0x1f8f24fa11122703 + .quad 0x5265ac2f2adf9592 + .quad 0x405fdd309afcb346 + .quad 0xd9723d4428e63f54 + .quad 0x94c01df05f65aaae + .quad 0x43e4dc3ae14c0809 + + // 2^60 * 3 * B + + .quad 0xbc12c7f1a938a517 + .quad 0x473028ab3180b2e1 + .quad 0x3f78571efbcd254a + .quad 0x74e534426ff6f90f + .quad 0xea6f7ac3adc2c6a3 + .quad 0xd0e928f6e9717c94 + .quad 0xe2d379ead645eaf5 + .quad 0x46dd8785c51ffbbe + .quad 0x709801be375c8898 + .quad 0x4b06dab5e3fd8348 + .quad 0x75880ced27230714 + .quad 0x2b09468fdd2f4c42 + + // 2^60 * 4 * B + + .quad 0x97c749eeb701cb96 + .quad 0x83f438d4b6a369c3 + .quad 0x62962b8b9a402cd9 + .quad 0x6976c7509888df7b + .quad 0x5b97946582ffa02a + .quad 0xda096a51fea8f549 + .quad 0xa06351375f77af9b + .quad 0x1bcfde61201d1e76 + .quad 0x4a4a5490246a59a2 + .quad 0xd63ebddee87fdd90 + .quad 0xd9437c670d2371fa + .quad 0x69e87308d30f8ed6 + + // 2^60 * 5 * B + + .quad 0x435a8bb15656beb0 + .quad 0xf8fac9ba4f4d5bca + .quad 0xb9b278c41548c075 + .quad 0x3eb0ef76e892b622 + .quad 0x0f80bf028bc80303 + .quad 0x6aae16b37a18cefb + .quad 0xdd47ea47d72cd6a3 + .quad 0x61943588f4ed39aa + .quad 0xd26e5c3e91039f85 + .quad 0xc0e9e77df6f33aa9 + .quad 0xe8968c5570066a93 + .quad 0x3c34d1881faaaddd + + // 2^60 * 6 * B + + .quad 0x3f9d2b5ea09f9ec0 + .quad 0x1dab3b6fb623a890 + .quad 0xa09ba3ea72d926c4 + .quad 0x374193513fd8b36d + .quad 0xbd5b0b8f2fffe0d9 + .quad 0x6aa254103ed24fb9 + .quad 0x2ac7d7bcb26821c4 + .quad 0x605b394b60dca36a + .quad 0xb4e856e45a9d1ed2 + .quad 0xefe848766c97a9a2 + .quad 0xb104cf641e5eee7d + .quad 0x2f50b81c88a71c8f + + // 2^60 * 7 * B + + .quad 0x31723c61fc6811bb + .quad 0x9cb450486211800f + .quad 0x768933d347995753 + .quad 0x3491a53502752fcd + .quad 0x2b552ca0a7da522a + .quad 0x3230b336449b0250 + .quad 0xf2c4c5bca4b99fb9 + .quad 0x7b2c674958074a22 + .quad 0xd55165883ed28cdf + .quad 0x12d84fd2d362de39 + .quad 0x0a874ad3e3378e4f + .quad 0x000d2b1f7c763e74 + + // 2^60 * 8 * B + + .quad 0x3d420811d06d4a67 + .quad 0xbefc048590e0ffe3 + .quad 0xf870c6b7bd487bde + .quad 0x6e2a7316319afa28 + .quad 0x9624778c3e94a8ab + .quad 0x0ad6f3cee9a78bec + .quad 0x948ac7810d743c4f + .quad 0x76627935aaecfccc + .quad 0x56a8ac24d6d59a9f + .quad 0xc8db753e3096f006 + .quad 0x477f41e68f4c5299 + .quad 0x588d851cf6c86114 + + // 2^64 * 1 * B + + .quad 0x51138ec78df6b0fe + .quad 0x5397da89e575f51b + .quad 0x09207a1d717af1b9 + .quad 0x2102fdba2b20d650 + .quad 0xcd2a65e777d1f515 + .quad 0x548991878faa60f1 + .quad 0xb1b73bbcdabc06e5 + .quad 0x654878cba97cc9fb + .quad 0x969ee405055ce6a1 + .quad 0x36bca7681251ad29 + .quad 0x3a1af517aa7da415 + .quad 0x0ad725db29ecb2ba + + // 2^64 * 2 * B + + .quad 0xdc4267b1834e2457 + .quad 0xb67544b570ce1bc5 + .quad 0x1af07a0bf7d15ed7 + .quad 0x4aefcffb71a03650 + .quad 0xfec7bc0c9b056f85 + .quad 0x537d5268e7f5ffd7 + .quad 0x77afc6624312aefa + .quad 0x4f675f5302399fd9 + .quad 0xc32d36360415171e + .quad 0xcd2bef118998483b + .quad 0x870a6eadd0945110 + .quad 0x0bccbb72a2a86561 + + // 2^64 * 3 * B + + .quad 0x185e962feab1a9c8 + .quad 0x86e7e63565147dcd + .quad 0xb092e031bb5b6df2 + .quad 0x4024f0ab59d6b73e + .quad 0x186d5e4c50fe1296 + .quad 0xe0397b82fee89f7e + .quad 0x3bc7f6c5507031b0 + .quad 0x6678fd69108f37c2 + .quad 0x1586fa31636863c2 + .quad 0x07f68c48572d33f2 + .quad 0x4f73cc9f789eaefc + .quad 0x2d42e2108ead4701 + + // 2^64 * 4 * B + + .quad 0x97f5131594dfd29b + .quad 0x6155985d313f4c6a + .quad 0xeba13f0708455010 + .quad 0x676b2608b8d2d322 + .quad 0x21717b0d0f537593 + .quad 0x914e690b131e064c + .quad 0x1bb687ae752ae09f + .quad 0x420bf3a79b423c6e + .quad 0x8138ba651c5b2b47 + .quad 0x8671b6ec311b1b80 + .quad 0x7bff0cb1bc3135b0 + .quad 0x745d2ffa9c0cf1e0 + + // 2^64 * 5 * B + + .quad 0xbf525a1e2bc9c8bd + .quad 0xea5b260826479d81 + .quad 0xd511c70edf0155db + .quad 0x1ae23ceb960cf5d0 + .quad 0x6036df5721d34e6a + .quad 0xb1db8827997bb3d0 + .quad 0xd3c209c3c8756afa + .quad 0x06e15be54c1dc839 + .quad 0x5b725d871932994a + .quad 0x32351cb5ceb1dab0 + .quad 0x7dc41549dab7ca05 + .quad 0x58ded861278ec1f7 + + // 2^64 * 6 * B + + .quad 0xd8173793f266c55c + .quad 0xc8c976c5cc454e49 + .quad 0x5ce382f8bc26c3a8 + .quad 0x2ff39de85485f6f9 + .quad 0x2dfb5ba8b6c2c9a8 + .quad 0x48eeef8ef52c598c + .quad 0x33809107f12d1573 + .quad 0x08ba696b531d5bd8 + .quad 0x77ed3eeec3efc57a + .quad 0x04e05517d4ff4811 + .quad 0xea3d7a3ff1a671cb + .quad 0x120633b4947cfe54 + + // 2^64 * 7 * B + + .quad 0x0b94987891610042 + .quad 0x4ee7b13cecebfae8 + .quad 0x70be739594f0a4c0 + .quad 0x35d30a99b4d59185 + .quad 0x82bd31474912100a + .quad 0xde237b6d7e6fbe06 + .quad 0xe11e761911ea79c6 + .quad 0x07433be3cb393bde + .quad 0xff7944c05ce997f4 + .quad 0x575d3de4b05c51a3 + .quad 0x583381fd5a76847c + .quad 0x2d873ede7af6da9f + + // 2^64 * 8 * B + + .quad 0x157a316443373409 + .quad 0xfab8b7eef4aa81d9 + .quad 0xb093fee6f5a64806 + .quad 0x2e773654707fa7b6 + .quad 0xaa6202e14e5df981 + .quad 0xa20d59175015e1f5 + .quad 0x18a275d3bae21d6c + .quad 0x0543618a01600253 + .quad 0x0deabdf4974c23c1 + .quad 0xaa6f0a259dce4693 + .quad 0x04202cb8a29aba2c + .quad 0x4b1443362d07960d + + // 2^68 * 1 * B + + .quad 0x47b837f753242cec + .quad 0x256dc48cc04212f2 + .quad 0xe222fbfbe1d928c5 + .quad 0x48ea295bad8a2c07 + .quad 0x299b1c3f57c5715e + .quad 0x96cb929e6b686d90 + .quad 0x3004806447235ab3 + .quad 0x2c435c24a44d9fe1 + .quad 0x0607c97c80f8833f + .quad 0x0e851578ca25ec5b + .quad 0x54f7450b161ebb6f + .quad 0x7bcb4792a0def80e + + // 2^68 * 2 * B + + .quad 0x8487e3d02bc73659 + .quad 0x4baf8445059979df + .quad 0xd17c975adcad6fbf + .quad 0x57369f0bdefc96b6 + .quad 0x1cecd0a0045224c2 + .quad 0x757f1b1b69e53952 + .quad 0x775b7a925289f681 + .quad 0x1b6cc62016736148 + .quad 0xf1a9990175638698 + .quad 0x353dd1beeeaa60d3 + .quad 0x849471334c9ba488 + .quad 0x63fa6e6843ade311 + + // 2^68 * 3 * B + + .quad 0xd15c20536597c168 + .quad 0x9f73740098d28789 + .quad 0x18aee7f13257ba1f + .quad 0x3418bfda07346f14 + .quad 0x2195becdd24b5eb7 + .quad 0x5e41f18cc0cd44f9 + .quad 0xdf28074441ca9ede + .quad 0x07073b98f35b7d67 + .quad 0xd03c676c4ce530d4 + .quad 0x0b64c0473b5df9f4 + .quad 0x065cef8b19b3a31e + .quad 0x3084d661533102c9 + + // 2^68 * 4 * B + + .quad 0xe1f6b79ebf8469ad + .quad 0x15801004e2663135 + .quad 0x9a498330af74181b + .quad 0x3ba2504f049b673c + .quad 0x9a6ce876760321fd + .quad 0x7fe2b5109eb63ad8 + .quad 0x00e7d4ae8ac80592 + .quad 0x73d86b7abb6f723a + .quad 0x0b52b5606dba5ab6 + .quad 0xa9134f0fbbb1edab + .quad 0x30a9520d9b04a635 + .quad 0x6813b8f37973e5db + + // 2^68 * 5 * B + + .quad 0x9854b054334127c1 + .quad 0x105d047882fbff25 + .quad 0xdb49f7f944186f4f + .quad 0x1768e838bed0b900 + .quad 0xf194ca56f3157e29 + .quad 0x136d35705ef528a5 + .quad 0xdd4cef778b0599bc + .quad 0x7d5472af24f833ed + .quad 0xd0ef874daf33da47 + .quad 0x00d3be5db6e339f9 + .quad 0x3f2a8a2f9c9ceece + .quad 0x5d1aeb792352435a + + // 2^68 * 6 * B + + .quad 0xf59e6bb319cd63ca + .quad 0x670c159221d06839 + .quad 0xb06d565b2150cab6 + .quad 0x20fb199d104f12a3 + .quad 0x12c7bfaeb61ba775 + .quad 0xb84e621fe263bffd + .quad 0x0b47a5c35c840dcf + .quad 0x7e83be0bccaf8634 + .quad 0x61943dee6d99c120 + .quad 0x86101f2e460b9fe0 + .quad 0x6bb2f1518ee8598d + .quad 0x76b76289fcc475cc + + // 2^68 * 7 * B + + .quad 0x791b4cc1756286fa + .quad 0xdbced317d74a157c + .quad 0x7e732421ea72bde6 + .quad 0x01fe18491131c8e9 + .quad 0x4245f1a1522ec0b3 + .quad 0x558785b22a75656d + .quad 0x1d485a2548a1b3c0 + .quad 0x60959eccd58fe09f + .quad 0x3ebfeb7ba8ed7a09 + .quad 0x49fdc2bbe502789c + .quad 0x44ebce5d3c119428 + .quad 0x35e1eb55be947f4a + + // 2^68 * 8 * B + + .quad 0xdbdae701c5738dd3 + .quad 0xf9c6f635b26f1bee + .quad 0x61e96a8042f15ef4 + .quad 0x3aa1d11faf60a4d8 + .quad 0x14fd6dfa726ccc74 + .quad 0x3b084cfe2f53b965 + .quad 0xf33ae4f552a2c8b4 + .quad 0x59aab07a0d40166a + .quad 0x77bcec4c925eac25 + .quad 0x1848718460137738 + .quad 0x5b374337fea9f451 + .quad 0x1865e78ec8e6aa46 + + // 2^72 * 1 * B + + .quad 0xccc4b7c7b66e1f7a + .quad 0x44157e25f50c2f7e + .quad 0x3ef06dfc713eaf1c + .quad 0x582f446752da63f7 + .quad 0x967c54e91c529ccb + .quad 0x30f6269264c635fb + .quad 0x2747aff478121965 + .quad 0x17038418eaf66f5c + .quad 0xc6317bd320324ce4 + .quad 0xa81042e8a4488bc4 + .quad 0xb21ef18b4e5a1364 + .quad 0x0c2a1c4bcda28dc9 + + // 2^72 * 2 * B + + .quad 0xd24dc7d06f1f0447 + .quad 0xb2269e3edb87c059 + .quad 0xd15b0272fbb2d28f + .quad 0x7c558bd1c6f64877 + .quad 0xedc4814869bd6945 + .quad 0x0d6d907dbe1c8d22 + .quad 0xc63bd212d55cc5ab + .quad 0x5a6a9b30a314dc83 + .quad 0xd0ec1524d396463d + .quad 0x12bb628ac35a24f0 + .quad 0xa50c3a791cbc5fa4 + .quad 0x0404a5ca0afbafc3 + + // 2^72 * 3 * B + + .quad 0x8c1f40070aa743d6 + .quad 0xccbad0cb5b265ee8 + .quad 0x574b046b668fd2de + .quad 0x46395bfdcadd9633 + .quad 0x62bc9e1b2a416fd1 + .quad 0xb5c6f728e350598b + .quad 0x04343fd83d5d6967 + .quad 0x39527516e7f8ee98 + .quad 0x117fdb2d1a5d9a9c + .quad 0x9c7745bcd1005c2a + .quad 0xefd4bef154d56fea + .quad 0x76579a29e822d016 + + // 2^72 * 4 * B + + .quad 0x45b68e7e49c02a17 + .quad 0x23cd51a2bca9a37f + .quad 0x3ed65f11ec224c1b + .quad 0x43a384dc9e05bdb1 + .quad 0x333cb51352b434f2 + .quad 0xd832284993de80e1 + .quad 0xb5512887750d35ce + .quad 0x02c514bb2a2777c1 + .quad 0x684bd5da8bf1b645 + .quad 0xfb8bd37ef6b54b53 + .quad 0x313916d7a9b0d253 + .quad 0x1160920961548059 + + // 2^72 * 5 * B + + .quad 0xb44d166929dacfaa + .quad 0xda529f4c8413598f + .quad 0xe9ef63ca453d5559 + .quad 0x351e125bc5698e0b + .quad 0x7a385616369b4dcd + .quad 0x75c02ca7655c3563 + .quad 0x7dc21bf9d4f18021 + .quad 0x2f637d7491e6e042 + .quad 0xd4b49b461af67bbe + .quad 0xd603037ac8ab8961 + .quad 0x71dee19ff9a699fb + .quad 0x7f182d06e7ce2a9a + + // 2^72 * 6 * B + + .quad 0x7a7c8e64ab0168ec + .quad 0xcb5a4a5515edc543 + .quad 0x095519d347cd0eda + .quad 0x67d4ac8c343e93b0 + .quad 0x09454b728e217522 + .quad 0xaa58e8f4d484b8d8 + .quad 0xd358254d7f46903c + .quad 0x44acc043241c5217 + .quad 0x1c7d6bbb4f7a5777 + .quad 0x8b35fed4918313e1 + .quad 0x4adca1c6c96b4684 + .quad 0x556d1c8312ad71bd + + // 2^72 * 7 * B + + .quad 0x17ef40e30c8d3982 + .quad 0x31f7073e15a3fa34 + .quad 0x4f21f3cb0773646e + .quad 0x746c6c6d1d824eff + .quad 0x81f06756b11be821 + .quad 0x0faff82310a3f3dd + .quad 0xf8b2d0556a99465d + .quad 0x097abe38cc8c7f05 + .quad 0x0c49c9877ea52da4 + .quad 0x4c4369559bdc1d43 + .quad 0x022c3809f7ccebd2 + .quad 0x577e14a34bee84bd + + // 2^72 * 8 * B + + .quad 0xf0e268ac61a73b0a + .quad 0xf2fafa103791a5f5 + .quad 0xc1e13e826b6d00e9 + .quad 0x60fa7ee96fd78f42 + .quad 0x94fecebebd4dd72b + .quad 0xf46a4fda060f2211 + .quad 0x124a5977c0c8d1ff + .quad 0x705304b8fb009295 + .quad 0xb63d1d354d296ec6 + .quad 0xf3c3053e5fad31d8 + .quad 0x670b958cb4bd42ec + .quad 0x21398e0ca16353fd + + // 2^76 * 1 * B + + .quad 0x216ab2ca8da7d2ef + .quad 0x366ad9dd99f42827 + .quad 0xae64b9004fdd3c75 + .quad 0x403a395b53909e62 + .quad 0x86c5fc16861b7e9a + .quad 0xf6a330476a27c451 + .quad 0x01667267a1e93597 + .quad 0x05ffb9cd6082dfeb + .quad 0xa617fa9ff53f6139 + .quad 0x60f2b5e513e66cb6 + .quad 0xd7a8beefb3448aa4 + .quad 0x7a2932856f5ea192 + + // 2^76 * 2 * B + + .quad 0x0b39d761b02de888 + .quad 0x5f550e7ed2414e1f + .quad 0xa6bfa45822e1a940 + .quad 0x050a2f7dfd447b99 + .quad 0xb89c444879639302 + .quad 0x4ae4f19350c67f2c + .quad 0xf0b35da8c81af9c6 + .quad 0x39d0003546871017 + .quad 0x437c3b33a650db77 + .quad 0x6bafe81dbac52bb2 + .quad 0xfe99402d2db7d318 + .quad 0x2b5b7eec372ba6ce + + // 2^76 * 3 * B + + .quad 0xb3bc4bbd83f50eef + .quad 0x508f0c998c927866 + .quad 0x43e76587c8b7e66e + .quad 0x0f7655a3a47f98d9 + .quad 0xa694404d613ac8f4 + .quad 0x500c3c2bfa97e72c + .quad 0x874104d21fcec210 + .quad 0x1b205fb38604a8ee + .quad 0x55ecad37d24b133c + .quad 0x441e147d6038c90b + .quad 0x656683a1d62c6fee + .quad 0x0157d5dc87e0ecae + + // 2^76 * 4 * B + + .quad 0xf2a7af510354c13d + .quad 0xd7a0b145aa372b60 + .quad 0x2869b96a05a3d470 + .quad 0x6528e42d82460173 + .quad 0x95265514d71eb524 + .quad 0xe603d8815df14593 + .quad 0x147cdf410d4de6b7 + .quad 0x5293b1730437c850 + .quad 0x23d0e0814bccf226 + .quad 0x92c745cd8196fb93 + .quad 0x8b61796c59541e5b + .quad 0x40a44df0c021f978 + + // 2^76 * 5 * B + + .quad 0xdaa869894f20ea6a + .quad 0xea14a3d14c620618 + .quad 0x6001fccb090bf8be + .quad 0x35f4e822947e9cf0 + .quad 0x86c96e514bc5d095 + .quad 0xf20d4098fca6804a + .quad 0x27363d89c826ea5d + .quad 0x39ca36565719cacf + .quad 0x97506f2f6f87b75c + .quad 0xc624aea0034ae070 + .quad 0x1ec856e3aad34dd6 + .quad 0x055b0be0e440e58f + + // 2^76 * 6 * B + + .quad 0x6469a17d89735d12 + .quad 0xdb6f27d5e662b9f1 + .quad 0x9fcba3286a395681 + .quad 0x363b8004d269af25 + .quad 0x4d12a04b6ea33da2 + .quad 0x57cf4c15e36126dd + .quad 0x90ec9675ee44d967 + .quad 0x64ca348d2a985aac + .quad 0x99588e19e4c4912d + .quad 0xefcc3b4e1ca5ce6b + .quad 0x4522ea60fa5b98d5 + .quad 0x7064bbab1de4a819 + + // 2^76 * 7 * B + + .quad 0xb919e1515a770641 + .quad 0xa9a2e2c74e7f8039 + .quad 0x7527250b3df23109 + .quad 0x756a7330ac27b78b + .quad 0xa290c06142542129 + .quad 0xf2e2c2aebe8d5b90 + .quad 0xcf2458db76abfe1b + .quad 0x02157ade83d626bf + .quad 0x3e46972a1b9a038b + .quad 0x2e4ee66a7ee03fb4 + .quad 0x81a248776edbb4ca + .quad 0x1a944ee88ecd0563 + + // 2^76 * 8 * B + + .quad 0xd5a91d1151039372 + .quad 0x2ed377b799ca26de + .quad 0xa17202acfd366b6b + .quad 0x0730291bd6901995 + .quad 0xbb40a859182362d6 + .quad 0xb99f55778a4d1abb + .quad 0x8d18b427758559f6 + .quad 0x26c20fe74d26235a + .quad 0x648d1d9fe9cc22f5 + .quad 0x66bc561928dd577c + .quad 0x47d3ed21652439d1 + .quad 0x49d271acedaf8b49 + + // 2^80 * 1 * B + + .quad 0x89f5058a382b33f3 + .quad 0x5ae2ba0bad48c0b4 + .quad 0x8f93b503a53db36e + .quad 0x5aa3ed9d95a232e6 + .quad 0x2798aaf9b4b75601 + .quad 0x5eac72135c8dad72 + .quad 0xd2ceaa6161b7a023 + .quad 0x1bbfb284e98f7d4e + .quad 0x656777e9c7d96561 + .quad 0xcb2b125472c78036 + .quad 0x65053299d9506eee + .quad 0x4a07e14e5e8957cc + + // 2^80 * 2 * B + + .quad 0x4ee412cb980df999 + .quad 0xa315d76f3c6ec771 + .quad 0xbba5edde925c77fd + .quad 0x3f0bac391d313402 + .quad 0x240b58cdc477a49b + .quad 0xfd38dade6447f017 + .quad 0x19928d32a7c86aad + .quad 0x50af7aed84afa081 + .quad 0x6e4fde0115f65be5 + .quad 0x29982621216109b2 + .quad 0x780205810badd6d9 + .quad 0x1921a316baebd006 + + // 2^80 * 3 * B + + .quad 0x89422f7edfb870fc + .quad 0x2c296beb4f76b3bd + .quad 0x0738f1d436c24df7 + .quad 0x6458df41e273aeb0 + .quad 0xd75aad9ad9f3c18b + .quad 0x566a0eef60b1c19c + .quad 0x3e9a0bac255c0ed9 + .quad 0x7b049deca062c7f5 + .quad 0xdccbe37a35444483 + .quad 0x758879330fedbe93 + .quad 0x786004c312c5dd87 + .quad 0x6093dccbc2950e64 + + // 2^80 * 4 * B + + .quad 0x1ff39a8585e0706d + .quad 0x36d0a5d8b3e73933 + .quad 0x43b9f2e1718f453b + .quad 0x57d1ea084827a97c + .quad 0x6bdeeebe6084034b + .quad 0x3199c2b6780fb854 + .quad 0x973376abb62d0695 + .quad 0x6e3180c98b647d90 + .quad 0xee7ab6e7a128b071 + .quad 0xa4c1596d93a88baa + .quad 0xf7b4de82b2216130 + .quad 0x363e999ddd97bd18 + + // 2^80 * 5 * B + + .quad 0x96a843c135ee1fc4 + .quad 0x976eb35508e4c8cf + .quad 0xb42f6801b58cd330 + .quad 0x48ee9b78693a052b + .quad 0x2f1848dce24baec6 + .quad 0x769b7255babcaf60 + .quad 0x90cb3c6e3cefe931 + .quad 0x231f979bc6f9b355 + .quad 0x5c31de4bcc2af3c6 + .quad 0xb04bb030fe208d1f + .quad 0xb78d7009c14fb466 + .quad 0x079bfa9b08792413 + + // 2^80 * 6 * B + + .quad 0xe3903a51da300df4 + .quad 0x843964233da95ab0 + .quad 0xed3cf12d0b356480 + .quad 0x038c77f684817194 + .quad 0xf3c9ed80a2d54245 + .quad 0x0aa08b7877f63952 + .quad 0xd76dac63d1085475 + .quad 0x1ef4fb159470636b + .quad 0x854e5ee65b167bec + .quad 0x59590a4296d0cdc2 + .quad 0x72b2df3498102199 + .quad 0x575ee92a4a0bff56 + + // 2^80 * 7 * B + + .quad 0xd4c080908a182fcf + .quad 0x30e170c299489dbd + .quad 0x05babd5752f733de + .quad 0x43d4e7112cd3fd00 + .quad 0x5d46bc450aa4d801 + .quad 0xc3af1227a533b9d8 + .quad 0x389e3b262b8906c2 + .quad 0x200a1e7e382f581b + .quad 0x518db967eaf93ac5 + .quad 0x71bc989b056652c0 + .quad 0xfe2b85d9567197f5 + .quad 0x050eca52651e4e38 + + // 2^80 * 8 * B + + .quad 0xc3431ade453f0c9c + .quad 0xe9f5045eff703b9b + .quad 0xfcd97ac9ed847b3d + .quad 0x4b0ee6c21c58f4c6 + .quad 0x97ac397660e668ea + .quad 0x9b19bbfe153ab497 + .quad 0x4cb179b534eca79f + .quad 0x6151c09fa131ae57 + .quad 0x3af55c0dfdf05d96 + .quad 0xdd262ee02ab4ee7a + .quad 0x11b2bb8712171709 + .quad 0x1fef24fa800f030b + + // 2^84 * 1 * B + + .quad 0xb496123a6b6c6609 + .quad 0xa750fe8580ab5938 + .quad 0xf471bf39b7c27a5f + .quad 0x507903ce77ac193c + .quad 0xff91a66a90166220 + .quad 0xf22552ae5bf1e009 + .quad 0x7dff85d87f90df7c + .quad 0x4f620ffe0c736fb9 + .quad 0x62f90d65dfde3e34 + .quad 0xcf28c592b9fa5fad + .quad 0x99c86ef9c6164510 + .quad 0x25d448044a256c84 + + // 2^84 * 2 * B + + .quad 0xbd68230ec7e9b16f + .quad 0x0eb1b9c1c1c5795d + .quad 0x7943c8c495b6b1ff + .quad 0x2f9faf620bbacf5e + .quad 0x2c7c4415c9022b55 + .quad 0x56a0d241812eb1fe + .quad 0xf02ea1c9d7b65e0d + .quad 0x4180512fd5323b26 + .quad 0xa4ff3e698a48a5db + .quad 0xba6a3806bd95403b + .quad 0x9f7ce1af47d5b65d + .quad 0x15e087e55939d2fb + + // 2^84 * 3 * B + + .quad 0x12207543745c1496 + .quad 0xdaff3cfdda38610c + .quad 0xe4e797272c71c34f + .quad 0x39c07b1934bdede9 + .quad 0x8894186efb963f38 + .quad 0x48a00e80dc639bd5 + .quad 0xa4e8092be96c1c99 + .quad 0x5a097d54ca573661 + .quad 0x2d45892b17c9e755 + .quad 0xd033fd7289308df8 + .quad 0x6c2fe9d9525b8bd9 + .quad 0x2edbecf1c11cc079 + + // 2^84 * 4 * B + + .quad 0x1616a4e3c715a0d2 + .quad 0x53623cb0f8341d4d + .quad 0x96ef5329c7e899cb + .quad 0x3d4e8dbba668baa6 + .quad 0xee0f0fddd087a25f + .quad 0x9c7531555c3e34ee + .quad 0x660c572e8fab3ab5 + .quad 0x0854fc44544cd3b2 + .quad 0x61eba0c555edad19 + .quad 0x24b533fef0a83de6 + .quad 0x3b77042883baa5f8 + .quad 0x678f82b898a47e8d + + // 2^84 * 5 * B + + .quad 0xb1491d0bd6900c54 + .quad 0x3539722c9d132636 + .quad 0x4db928920b362bc9 + .quad 0x4d7cd1fea68b69df + .quad 0x1e09d94057775696 + .quad 0xeed1265c3cd951db + .quad 0xfa9dac2b20bce16f + .quad 0x0f7f76e0e8d089f4 + .quad 0x36d9ebc5d485b00c + .quad 0xa2596492e4adb365 + .quad 0xc1659480c2119ccd + .quad 0x45306349186e0d5f + + // 2^84 * 6 * B + + .quad 0x94ddd0c1a6cdff1d + .quad 0x55f6f115e84213ae + .quad 0x6c935f85992fcf6a + .quad 0x067ee0f54a37f16f + .quad 0x96a414ec2b072491 + .quad 0x1bb2218127a7b65b + .quad 0x6d2849596e8a4af0 + .quad 0x65f3b08ccd27765f + .quad 0xecb29fff199801f7 + .quad 0x9d361d1fa2a0f72f + .quad 0x25f11d2375fd2f49 + .quad 0x124cefe80fe10fe2 + + // 2^84 * 7 * B + + .quad 0x4c126cf9d18df255 + .quad 0xc1d471e9147a63b6 + .quad 0x2c6d3c73f3c93b5f + .quad 0x6be3a6a2e3ff86a2 + .quad 0x1518e85b31b16489 + .quad 0x8faadcb7db710bfb + .quad 0x39b0bdf4a14ae239 + .quad 0x05f4cbea503d20c1 + .quad 0xce040e9ec04145bc + .quad 0xc71ff4e208f6834c + .quad 0xbd546e8dab8847a3 + .quad 0x64666aa0a4d2aba5 + + // 2^84 * 8 * B + + .quad 0x6841435a7c06d912 + .quad 0xca123c21bb3f830b + .quad 0xd4b37b27b1cbe278 + .quad 0x1d753b84c76f5046 + .quad 0xb0c53bf73337e94c + .quad 0x7cb5697e11e14f15 + .quad 0x4b84abac1930c750 + .quad 0x28dd4abfe0640468 + .quad 0x7dc0b64c44cb9f44 + .quad 0x18a3e1ace3925dbf + .quad 0x7a3034862d0457c4 + .quad 0x4c498bf78a0c892e + + // 2^88 * 1 * B + + .quad 0x37d653fb1aa73196 + .quad 0x0f9495303fd76418 + .quad 0xad200b09fb3a17b2 + .quad 0x544d49292fc8613e + .quad 0x22d2aff530976b86 + .quad 0x8d90b806c2d24604 + .quad 0xdca1896c4de5bae5 + .quad 0x28005fe6c8340c17 + .quad 0x6aefba9f34528688 + .quad 0x5c1bff9425107da1 + .quad 0xf75bbbcd66d94b36 + .quad 0x72e472930f316dfa + + // 2^88 * 2 * B + + .quad 0x2695208c9781084f + .quad 0xb1502a0b23450ee1 + .quad 0xfd9daea603efde02 + .quad 0x5a9d2e8c2733a34c + .quad 0x07f3f635d32a7627 + .quad 0x7aaa4d865f6566f0 + .quad 0x3c85e79728d04450 + .quad 0x1fee7f000fe06438 + .quad 0x765305da03dbf7e5 + .quad 0xa4daf2491434cdbd + .quad 0x7b4ad5cdd24a88ec + .quad 0x00f94051ee040543 + + // 2^88 * 3 * B + + .quad 0x8d356b23c3d330b2 + .quad 0xf21c8b9bb0471b06 + .quad 0xb36c316c6e42b83c + .quad 0x07d79c7e8beab10d + .quad 0xd7ef93bb07af9753 + .quad 0x583ed0cf3db766a7 + .quad 0xce6998bf6e0b1ec5 + .quad 0x47b7ffd25dd40452 + .quad 0x87fbfb9cbc08dd12 + .quad 0x8a066b3ae1eec29b + .quad 0x0d57242bdb1fc1bf + .quad 0x1c3520a35ea64bb6 + + // 2^88 * 4 * B + + .quad 0x80d253a6bccba34a + .quad 0x3e61c3a13838219b + .quad 0x90c3b6019882e396 + .quad 0x1c3d05775d0ee66f + .quad 0xcda86f40216bc059 + .quad 0x1fbb231d12bcd87e + .quad 0xb4956a9e17c70990 + .quad 0x38750c3b66d12e55 + .quad 0x692ef1409422e51a + .quad 0xcbc0c73c2b5df671 + .quad 0x21014fe7744ce029 + .quad 0x0621e2c7d330487c + + // 2^88 * 5 * B + + .quad 0xaf9860cc8259838d + .quad 0x90ea48c1c69f9adc + .quad 0x6526483765581e30 + .quad 0x0007d6097bd3a5bc + .quad 0xb7ae1796b0dbf0f3 + .quad 0x54dfafb9e17ce196 + .quad 0x25923071e9aaa3b4 + .quad 0x5d8e589ca1002e9d + .quad 0xc0bf1d950842a94b + .quad 0xb2d3c363588f2e3e + .quad 0x0a961438bb51e2ef + .quad 0x1583d7783c1cbf86 + + // 2^88 * 6 * B + + .quad 0xeceea2ef5da27ae1 + .quad 0x597c3a1455670174 + .quad 0xc9a62a126609167a + .quad 0x252a5f2e81ed8f70 + .quad 0x90034704cc9d28c7 + .quad 0x1d1b679ef72cc58f + .quad 0x16e12b5fbe5b8726 + .quad 0x4958064e83c5580a + .quad 0x0d2894265066e80d + .quad 0xfcc3f785307c8c6b + .quad 0x1b53da780c1112fd + .quad 0x079c170bd843b388 + + // 2^88 * 7 * B + + .quad 0x0506ece464fa6fff + .quad 0xbee3431e6205e523 + .quad 0x3579422451b8ea42 + .quad 0x6dec05e34ac9fb00 + .quad 0xcdd6cd50c0d5d056 + .quad 0x9af7686dbb03573b + .quad 0x3ca6723ff3c3ef48 + .quad 0x6768c0d7317b8acc + .quad 0x94b625e5f155c1b3 + .quad 0x417bf3a7997b7b91 + .quad 0xc22cbddc6d6b2600 + .quad 0x51445e14ddcd52f4 + + // 2^88 * 8 * B + + .quad 0x57502b4b3b144951 + .quad 0x8e67ff6b444bbcb3 + .quad 0xb8bd6927166385db + .quad 0x13186f31e39295c8 + .quad 0x893147ab2bbea455 + .quad 0x8c53a24f92079129 + .quad 0x4b49f948be30f7a7 + .quad 0x12e990086e4fd43d + .quad 0xf10c96b37fdfbb2e + .quad 0x9f9a935e121ceaf9 + .quad 0xdf1136c43a5b983f + .quad 0x77b2e3f05d3e99af + + // 2^92 * 1 * B + + .quad 0xfd0d75879cf12657 + .quad 0xe82fef94e53a0e29 + .quad 0xcc34a7f05bbb4be7 + .quad 0x0b251172a50c38a2 + .quad 0x9532f48fcc5cd29b + .quad 0x2ba851bea3ce3671 + .quad 0x32dacaa051122941 + .quad 0x478d99d9350004f2 + .quad 0x1d5ad94890bb02c0 + .quad 0x50e208b10ec25115 + .quad 0xa26a22894ef21702 + .quad 0x4dc923343b524805 + + // 2^92 * 2 * B + + .quad 0xe3828c400f8086b6 + .quad 0x3f77e6f7979f0dc8 + .quad 0x7ef6de304df42cb4 + .quad 0x5265797cb6abd784 + .quad 0x3ad3e3ebf36c4975 + .quad 0xd75d25a537862125 + .quad 0xe873943da025a516 + .quad 0x6bbc7cb4c411c847 + .quad 0x3c6f9cd1d4a50d56 + .quad 0xb6244077c6feab7e + .quad 0x6ff9bf483580972e + .quad 0x00375883b332acfb + + // 2^92 * 3 * B + + .quad 0x0001b2cd28cb0940 + .quad 0x63fb51a06f1c24c9 + .quad 0xb5ad8691dcd5ca31 + .quad 0x67238dbd8c450660 + .quad 0xc98bec856c75c99c + .quad 0xe44184c000e33cf4 + .quad 0x0a676b9bba907634 + .quad 0x669e2cb571f379d7 + .quad 0xcb116b73a49bd308 + .quad 0x025aad6b2392729e + .quad 0xb4793efa3f55d9b1 + .quad 0x72a1056140678bb9 + + // 2^92 * 4 * B + + .quad 0xa2b6812b1cc9249d + .quad 0x62866eee21211f58 + .quad 0x2cb5c5b85df10ece + .quad 0x03a6b259e263ae00 + .quad 0x0d8d2909e2e505b6 + .quad 0x98ca78abc0291230 + .quad 0x77ef5569a9b12327 + .quad 0x7c77897b81439b47 + .quad 0xf1c1b5e2de331cb5 + .quad 0x5a9f5d8e15fca420 + .quad 0x9fa438f17bd932b1 + .quad 0x2a381bf01c6146e7 + + // 2^92 * 5 * B + + .quad 0xac9b9879cfc811c1 + .quad 0x8b7d29813756e567 + .quad 0x50da4e607c70edfc + .quad 0x5dbca62f884400b6 + .quad 0xf7c0be32b534166f + .quad 0x27e6ca6419cf70d4 + .quad 0x934df7d7a957a759 + .quad 0x5701461dabdec2aa + .quad 0x2c6747402c915c25 + .quad 0x1bdcd1a80b0d340a + .quad 0x5e5601bd07b43f5f + .quad 0x2555b4e05539a242 + + // 2^92 * 6 * B + + .quad 0x6fc09f5266ddd216 + .quad 0xdce560a7c8e37048 + .quad 0xec65939da2df62fd + .quad 0x7a869ae7e52ed192 + .quad 0x78409b1d87e463d4 + .quad 0xad4da95acdfb639d + .quad 0xec28773755259b9c + .quad 0x69c806e9c31230ab + .quad 0x7b48f57414bb3f22 + .quad 0x68c7cee4aedccc88 + .quad 0xed2f936179ed80be + .quad 0x25d70b885f77bc4b + + // 2^92 * 7 * B + + .quad 0x4151c3d9762bf4de + .quad 0x083f435f2745d82b + .quad 0x29775a2e0d23ddd5 + .quad 0x138e3a6269a5db24 + .quad 0x98459d29bb1ae4d4 + .quad 0x56b9c4c739f954ec + .quad 0x832743f6c29b4b3e + .quad 0x21ea8e2798b6878a + .quad 0x87bef4b46a5a7b9c + .quad 0xd2299d1b5fc1d062 + .quad 0x82409818dd321648 + .quad 0x5c5abeb1e5a2e03d + + // 2^92 * 8 * B + + .quad 0x14722af4b73c2ddb + .quad 0xbc470c5f5a05060d + .quad 0x00943eac2581b02e + .quad 0x0e434b3b1f499c8f + .quad 0x02cde6de1306a233 + .quad 0x7b5a52a2116f8ec7 + .quad 0xe1c681f4c1163b5b + .quad 0x241d350660d32643 + .quad 0x6be4404d0ebc52c7 + .quad 0xae46233bb1a791f5 + .quad 0x2aec170ed25db42b + .quad 0x1d8dfd966645d694 + + // 2^96 * 1 * B + + .quad 0x296fa9c59c2ec4de + .quad 0xbc8b61bf4f84f3cb + .quad 0x1c7706d917a8f908 + .quad 0x63b795fc7ad3255d + .quad 0xd598639c12ddb0a4 + .quad 0xa5d19f30c024866b + .quad 0xd17c2f0358fce460 + .quad 0x07a195152e095e8a + .quad 0xa8368f02389e5fc8 + .quad 0x90433b02cf8de43b + .quad 0xafa1fd5dc5412643 + .quad 0x3e8fe83d032f0137 + + // 2^96 * 2 * B + + .quad 0x2f8b15b90570a294 + .quad 0x94f2427067084549 + .quad 0xde1c5ae161bbfd84 + .quad 0x75ba3b797fac4007 + .quad 0x08704c8de8efd13c + .quad 0xdfc51a8e33e03731 + .quad 0xa59d5da51260cde3 + .quad 0x22d60899a6258c86 + .quad 0x6239dbc070cdd196 + .quad 0x60fe8a8b6c7d8a9a + .quad 0xb38847bceb401260 + .quad 0x0904d07b87779e5e + + // 2^96 * 3 * B + + .quad 0xb4ce1fd4ddba919c + .quad 0xcf31db3ec74c8daa + .quad 0x2c63cc63ad86cc51 + .quad 0x43e2143fbc1dde07 + .quad 0xf4322d6648f940b9 + .quad 0x06952f0cbd2d0c39 + .quad 0x167697ada081f931 + .quad 0x6240aacebaf72a6c + .quad 0xf834749c5ba295a0 + .quad 0xd6947c5bca37d25a + .quad 0x66f13ba7e7c9316a + .quad 0x56bdaf238db40cac + + // 2^96 * 4 * B + + .quad 0x362ab9e3f53533eb + .quad 0x338568d56eb93d40 + .quad 0x9e0e14521d5a5572 + .quad 0x1d24a86d83741318 + .quad 0x1310d36cc19d3bb2 + .quad 0x062a6bb7622386b9 + .quad 0x7c9b8591d7a14f5c + .quad 0x03aa31507e1e5754 + .quad 0xf4ec7648ffd4ce1f + .quad 0xe045eaf054ac8c1c + .quad 0x88d225821d09357c + .quad 0x43b261dc9aeb4859 + + // 2^96 * 5 * B + + .quad 0xe55b1e1988bb79bb + .quad 0xa09ed07dc17a359d + .quad 0xb02c2ee2603dea33 + .quad 0x326055cf5b276bc2 + .quad 0x19513d8b6c951364 + .quad 0x94fe7126000bf47b + .quad 0x028d10ddd54f9567 + .quad 0x02b4d5e242940964 + .quad 0xb4a155cb28d18df2 + .quad 0xeacc4646186ce508 + .quad 0xc49cf4936c824389 + .quad 0x27a6c809ae5d3410 + + // 2^96 * 6 * B + + .quad 0x8ba6ebcd1f0db188 + .quad 0x37d3d73a675a5be8 + .quad 0xf22edfa315f5585a + .quad 0x2cb67174ff60a17e + .quad 0xcd2c270ac43d6954 + .quad 0xdd4a3e576a66cab2 + .quad 0x79fa592469d7036c + .quad 0x221503603d8c2599 + .quad 0x59eecdf9390be1d0 + .quad 0xa9422044728ce3f1 + .quad 0x82891c667a94f0f4 + .quad 0x7b1df4b73890f436 + + // 2^96 * 7 * B + + .quad 0xe492f2e0b3b2a224 + .quad 0x7c6c9e062b551160 + .quad 0x15eb8fe20d7f7b0e + .quad 0x61fcef2658fc5992 + .quad 0x5f2e221807f8f58c + .quad 0xe3555c9fd49409d4 + .quad 0xb2aaa88d1fb6a630 + .quad 0x68698245d352e03d + .quad 0xdbb15d852a18187a + .quad 0xf3e4aad386ddacd7 + .quad 0x44bae2810ff6c482 + .quad 0x46cf4c473daf01cf + + // 2^96 * 8 * B + + .quad 0x426525ed9ec4e5f9 + .quad 0x0e5eda0116903303 + .quad 0x72b1a7f2cbe5cadc + .quad 0x29387bcd14eb5f40 + .quad 0x213c6ea7f1498140 + .quad 0x7c1e7ef8392b4854 + .quad 0x2488c38c5629ceba + .quad 0x1065aae50d8cc5bb + .quad 0x1c2c4525df200d57 + .quad 0x5c3b2dd6bfca674a + .quad 0x0a07e7b1e1834030 + .quad 0x69a198e64f1ce716 + + // 2^100 * 1 * B + + .quad 0x7afcd613efa9d697 + .quad 0x0cc45aa41c067959 + .quad 0xa56fe104c1fada96 + .quad 0x3a73b70472e40365 + .quad 0x7b26e56b9e2d4734 + .quad 0xc4c7132b81c61675 + .quad 0xef5c9525ec9cde7f + .quad 0x39c80b16e71743ad + .quad 0x0f196e0d1b826c68 + .quad 0xf71ff0e24960e3db + .quad 0x6113167023b7436c + .quad 0x0cf0ea5877da7282 + + // 2^100 * 2 * B + + .quad 0x196c80a4ddd4ccbd + .quad 0x22e6f55d95f2dd9d + .quad 0xc75e33c740d6c71b + .quad 0x7bb51279cb3c042f + .quad 0xe332ced43ba6945a + .quad 0xde0b1361e881c05d + .quad 0x1ad40f095e67ed3b + .quad 0x5da8acdab8c63d5d + .quad 0xc4b6664a3a70159f + .quad 0x76194f0f0a904e14 + .quad 0xa5614c39a4096c13 + .quad 0x6cd0ff50979feced + + // 2^100 * 3 * B + + .quad 0xc0e067e78f4428ac + .quad 0x14835ab0a61135e3 + .quad 0xf21d14f338062935 + .quad 0x6390a4c8df04849c + .quad 0x7fecfabdb04ba18e + .quad 0xd0fc7bfc3bddbcf7 + .quad 0xa41d486e057a131c + .quad 0x641a4391f2223a61 + .quad 0xc5c6b95aa606a8db + .quad 0x914b7f9eb06825f1 + .quad 0x2a731f6b44fc9eff + .quad 0x30ddf38562705cfc + + // 2^100 * 4 * B + + .quad 0x4e3dcbdad1bff7f9 + .quad 0xc9118e8220645717 + .quad 0xbacccebc0f189d56 + .quad 0x1b4822e9d4467668 + .quad 0x33bef2bd68bcd52c + .quad 0xc649dbb069482ef2 + .quad 0xb5b6ee0c41cb1aee + .quad 0x5c294d270212a7e5 + .quad 0xab360a7f25563781 + .quad 0x2512228a480f7958 + .quad 0xc75d05276114b4e3 + .quad 0x222d9625d976fe2a + + // 2^100 * 5 * B + + .quad 0x1c717f85b372ace1 + .quad 0x81930e694638bf18 + .quad 0x239cad056bc08b58 + .quad 0x0b34271c87f8fff4 + .quad 0x0f94be7e0a344f85 + .quad 0xeb2faa8c87f22c38 + .quad 0x9ce1e75e4ee16f0f + .quad 0x43e64e5418a08dea + .quad 0x8155e2521a35ce63 + .quad 0xbe100d4df912028e + .quad 0xbff80bf8a57ddcec + .quad 0x57342dc96d6bc6e4 + + // 2^100 * 6 * B + + .quad 0xefeef065c8ce5998 + .quad 0xbf029510b5cbeaa2 + .quad 0x8c64a10620b7c458 + .quad 0x35134fb231c24855 + .quad 0xf3c3bcb71e707bf6 + .quad 0x351d9b8c7291a762 + .quad 0x00502e6edad69a33 + .quad 0x522f521f1ec8807f + .quad 0x272c1f46f9a3902b + .quad 0xc91ba3b799657bcc + .quad 0xae614b304f8a1c0e + .quad 0x7afcaad70b99017b + + // 2^100 * 7 * B + + .quad 0xc25ded54a4b8be41 + .quad 0x902d13e11bb0e2dd + .quad 0x41f43233cde82ab2 + .quad 0x1085faa5c3aae7cb + .quad 0xa88141ecef842b6b + .quad 0x55e7b14797abe6c5 + .quad 0x8c748f9703784ffe + .quad 0x5b50a1f7afcd00b7 + .quad 0x9b840f66f1361315 + .quad 0x18462242701003e9 + .quad 0x65ed45fae4a25080 + .quad 0x0a2862393fda7320 + + // 2^100 * 8 * B + + .quad 0x46ab13c8347cbc9d + .quad 0x3849e8d499c12383 + .quad 0x4cea314087d64ac9 + .quad 0x1f354134b1a29ee7 + .quad 0x960e737b6ecb9d17 + .quad 0xfaf24948d67ceae1 + .quad 0x37e7a9b4d55e1b89 + .quad 0x5cb7173cb46c59eb + .quad 0x4a89e68b82b7abf0 + .quad 0xf41cd9279ba6b7b9 + .quad 0x16e6c210e18d876f + .quad 0x7cacdb0f7f1b09c6 + + // 2^104 * 1 * B + + .quad 0x9062b2e0d91a78bc + .quad 0x47c9889cc8509667 + .quad 0x9df54a66405070b8 + .quad 0x7369e6a92493a1bf + .quad 0xe1014434dcc5caed + .quad 0x47ed5d963c84fb33 + .quad 0x70019576ed86a0e7 + .quad 0x25b2697bd267f9e4 + .quad 0x9d673ffb13986864 + .quad 0x3ca5fbd9415dc7b8 + .quad 0xe04ecc3bdf273b5e + .quad 0x1420683db54e4cd2 + + // 2^104 * 2 * B + + .quad 0xb478bd1e249dd197 + .quad 0x620c35005e58c102 + .quad 0xfb02d32fccbaac5c + .quad 0x60b63bebf508a72d + .quad 0x34eebb6fc1cc5ad0 + .quad 0x6a1b0ce99646ac8b + .quad 0xd3b0da49a66bde53 + .quad 0x31e83b4161d081c1 + .quad 0x97e8c7129e062b4f + .quad 0x49e48f4f29320ad8 + .quad 0x5bece14b6f18683f + .quad 0x55cf1eb62d550317 + + // 2^104 * 3 * B + + .quad 0x5879101065c23d58 + .quad 0x8b9d086d5094819c + .quad 0xe2402fa912c55fa7 + .quad 0x669a6564570891d4 + .quad 0x3076b5e37df58c52 + .quad 0xd73ab9dde799cc36 + .quad 0xbd831ce34913ee20 + .quad 0x1a56fbaa62ba0133 + .quad 0x943e6b505c9dc9ec + .quad 0x302557bba77c371a + .quad 0x9873ae5641347651 + .quad 0x13c4836799c58a5c + + // 2^104 * 4 * B + + .quad 0x423a5d465ab3e1b9 + .quad 0xfc13c187c7f13f61 + .quad 0x19f83664ecb5b9b6 + .quad 0x66f80c93a637b607 + .quad 0xc4dcfb6a5d8bd080 + .quad 0xdeebc4ec571a4842 + .quad 0xd4b2e883b8e55365 + .quad 0x50bdc87dc8e5b827 + .quad 0x606d37836edfe111 + .quad 0x32353e15f011abd9 + .quad 0x64b03ac325b73b96 + .quad 0x1dd56444725fd5ae + + // 2^104 * 5 * B + + .quad 0x8fa47ff83362127d + .quad 0xbc9f6ac471cd7c15 + .quad 0x6e71454349220c8b + .quad 0x0e645912219f732e + .quad 0xc297e60008bac89a + .quad 0x7d4cea11eae1c3e0 + .quad 0xf3e38be19fe7977c + .quad 0x3a3a450f63a305cd + .quad 0x078f2f31d8394627 + .quad 0x389d3183de94a510 + .quad 0xd1e36c6d17996f80 + .quad 0x318c8d9393a9a87b + + // 2^104 * 6 * B + + .quad 0xf2745d032afffe19 + .quad 0x0c9f3c497f24db66 + .quad 0xbc98d3e3ba8598ef + .quad 0x224c7c679a1d5314 + .quad 0x5d669e29ab1dd398 + .quad 0xfc921658342d9e3b + .quad 0x55851dfdf35973cd + .quad 0x509a41c325950af6 + .quad 0xbdc06edca6f925e9 + .quad 0x793ef3f4641b1f33 + .quad 0x82ec12809d833e89 + .quad 0x05bff02328a11389 + + // 2^104 * 7 * B + + .quad 0x3632137023cae00b + .quad 0x544acf0ad1accf59 + .quad 0x96741049d21a1c88 + .quad 0x780b8cc3fa2a44a7 + .quad 0x6881a0dd0dc512e4 + .quad 0x4fe70dc844a5fafe + .quad 0x1f748e6b8f4a5240 + .quad 0x576277cdee01a3ea + .quad 0x1ef38abc234f305f + .quad 0x9a577fbd1405de08 + .quad 0x5e82a51434e62a0d + .quad 0x5ff418726271b7a1 + + // 2^104 * 8 * B + + .quad 0x398e080c1789db9d + .quad 0xa7602025f3e778f5 + .quad 0xfa98894c06bd035d + .quad 0x106a03dc25a966be + .quad 0xe5db47e813b69540 + .quad 0xf35d2a3b432610e1 + .quad 0xac1f26e938781276 + .quad 0x29d4db8ca0a0cb69 + .quad 0xd9ad0aaf333353d0 + .quad 0x38669da5acd309e5 + .quad 0x3c57658ac888f7f0 + .quad 0x4ab38a51052cbefa + + // 2^108 * 1 * B + + .quad 0xdfdacbee4324c0e9 + .quad 0x054442883f955bb7 + .quad 0xdef7aaa8ea31609f + .quad 0x68aee70642287cff + .quad 0xf68fe2e8809de054 + .quad 0xe3bc096a9c82bad1 + .quad 0x076353d40aadbf45 + .quad 0x7b9b1fb5dea1959e + .quad 0xf01cc8f17471cc0c + .quad 0x95242e37579082bb + .quad 0x27776093d3e46b5f + .quad 0x2d13d55a28bd85fb + + // 2^108 * 2 * B + + .quad 0xfac5d2065b35b8da + .quad 0xa8da8a9a85624bb7 + .quad 0xccd2ca913d21cd0f + .quad 0x6b8341ee8bf90d58 + .quad 0xbf019cce7aee7a52 + .quad 0xa8ded2b6e454ead3 + .quad 0x3c619f0b87a8bb19 + .quad 0x3619b5d7560916d8 + .quad 0x3579f26b0282c4b2 + .quad 0x64d592f24fafefae + .quad 0xb7cded7b28c8c7c0 + .quad 0x6a927b6b7173a8d7 + + // 2^108 * 3 * B + + .quad 0x1f6db24f986e4656 + .quad 0x1021c02ed1e9105b + .quad 0xf8ff3fff2cc0a375 + .quad 0x1d2a6bf8c6c82592 + .quad 0x8d7040863ece88eb + .quad 0xf0e307a980eec08c + .quad 0xac2250610d788fda + .quad 0x056d92a43a0d478d + .quad 0x1b05a196fc3da5a1 + .quad 0x77d7a8c243b59ed0 + .quad 0x06da3d6297d17918 + .quad 0x66fbb494f12353f7 + + // 2^108 * 4 * B + + .quad 0x751a50b9d85c0fb8 + .quad 0xd1afdc258bcf097b + .quad 0x2f16a6a38309a969 + .quad 0x14ddff9ee5b00659 + .quad 0xd6d70996f12309d6 + .quad 0xdbfb2385e9c3d539 + .quad 0x46d602b0f7552411 + .quad 0x270a0b0557843e0c + .quad 0x61ff0640a7862bcc + .quad 0x81cac09a5f11abfe + .quad 0x9047830455d12abb + .quad 0x19a4bde1945ae873 + + // 2^108 * 5 * B + + .quad 0x9b9f26f520a6200a + .quad 0x64804443cf13eaf8 + .quad 0x8a63673f8631edd3 + .quad 0x72bbbce11ed39dc1 + .quad 0x40c709dec076c49f + .quad 0x657bfaf27f3e53f6 + .quad 0x40662331eca042c4 + .quad 0x14b375487eb4df04 + .quad 0xae853c94ab66dc47 + .quad 0xeb62343edf762d6e + .quad 0xf08e0e186fb2f7d1 + .quad 0x4f0b1c02700ab37a + + // 2^108 * 6 * B + + .quad 0xe1706787d81951fa + .quad 0xa10a2c8eb290c77b + .quad 0xe7382fa03ed66773 + .quad 0x0a4d84710bcc4b54 + .quad 0x79fd21ccc1b2e23f + .quad 0x4ae7c281453df52a + .quad 0xc8172ec9d151486b + .quad 0x68abe9443e0a7534 + .quad 0xda12c6c407831dcb + .quad 0x0da230d74d5c510d + .quad 0x4ab1531e6bd404e1 + .quad 0x4106b166bcf440ef + + // 2^108 * 7 * B + + .quad 0x02e57a421cd23668 + .quad 0x4ad9fb5d0eaef6fd + .quad 0x954e6727b1244480 + .quad 0x7f792f9d2699f331 + .quad 0xa485ccd539e4ecf2 + .quad 0x5aa3f3ad0555bab5 + .quad 0x145e3439937df82d + .quad 0x1238b51e1214283f + .quad 0x0b886b925fd4d924 + .quad 0x60906f7a3626a80d + .quad 0xecd367b4b98abd12 + .quad 0x2876beb1def344cf + + // 2^108 * 8 * B + + .quad 0xdc84e93563144691 + .quad 0x632fe8a0d61f23f4 + .quad 0x4caa800612a9a8d5 + .quad 0x48f9dbfa0e9918d3 + .quad 0xd594b3333a8a85f8 + .quad 0x4ea37689e78d7d58 + .quad 0x73bf9f455e8e351f + .quad 0x5507d7d2bc41ebb4 + .quad 0x1ceb2903299572fc + .quad 0x7c8ccaa29502d0ee + .quad 0x91bfa43411cce67b + .quad 0x5784481964a831e7 + + // 2^112 * 1 * B + + .quad 0xda7c2b256768d593 + .quad 0x98c1c0574422ca13 + .quad 0xf1a80bd5ca0ace1d + .quad 0x29cdd1adc088a690 + .quad 0xd6cfd1ef5fddc09c + .quad 0xe82b3efdf7575dce + .quad 0x25d56b5d201634c2 + .quad 0x3041c6bb04ed2b9b + .quad 0x0ff2f2f9d956e148 + .quad 0xade797759f356b2e + .quad 0x1a4698bb5f6c025c + .quad 0x104bbd6814049a7b + + // 2^112 * 2 * B + + .quad 0x51f0fd3168f1ed67 + .quad 0x2c811dcdd86f3bc2 + .quad 0x44dc5c4304d2f2de + .quad 0x5be8cc57092a7149 + .quad 0xa95d9a5fd67ff163 + .quad 0xe92be69d4cc75681 + .quad 0xb7f8024cde20f257 + .quad 0x204f2a20fb072df5 + .quad 0xc8143b3d30ebb079 + .quad 0x7589155abd652e30 + .quad 0x653c3c318f6d5c31 + .quad 0x2570fb17c279161f + + // 2^112 * 3 * B + + .quad 0x3efa367f2cb61575 + .quad 0xf5f96f761cd6026c + .quad 0xe8c7142a65b52562 + .quad 0x3dcb65ea53030acd + .quad 0x192ea9550bb8245a + .quad 0xc8e6fba88f9050d1 + .quad 0x7986ea2d88a4c935 + .quad 0x241c5f91de018668 + .quad 0x28d8172940de6caa + .quad 0x8fbf2cf022d9733a + .quad 0x16d7fcdd235b01d1 + .quad 0x08420edd5fcdf0e5 + + // 2^112 * 4 * B + + .quad 0xcdff20ab8362fa4a + .quad 0x57e118d4e21a3e6e + .quad 0xe3179617fc39e62b + .quad 0x0d9a53efbc1769fd + .quad 0x0358c34e04f410ce + .quad 0xb6135b5a276e0685 + .quad 0x5d9670c7ebb91521 + .quad 0x04d654f321db889c + .quad 0x5e7dc116ddbdb5d5 + .quad 0x2954deb68da5dd2d + .quad 0x1cb608173334a292 + .quad 0x4a7a4f2618991ad7 + + // 2^112 * 5 * B + + .quad 0xf4a718025fb15f95 + .quad 0x3df65f346b5c1b8f + .quad 0xcdfcf08500e01112 + .quad 0x11b50c4cddd31848 + .quad 0x24c3b291af372a4b + .quad 0x93da8270718147f2 + .quad 0xdd84856486899ef2 + .quad 0x4a96314223e0ee33 + .quad 0xa6e8274408a4ffd6 + .quad 0x738e177e9c1576d9 + .quad 0x773348b63d02b3f2 + .quad 0x4f4bce4dce6bcc51 + + // 2^112 * 6 * B + + .quad 0xa71fce5ae2242584 + .quad 0x26ea725692f58a9e + .quad 0xd21a09d71cea3cf4 + .quad 0x73fcdd14b71c01e6 + .quad 0x30e2616ec49d0b6f + .quad 0xe456718fcaec2317 + .quad 0x48eb409bf26b4fa6 + .quad 0x3042cee561595f37 + .quad 0x427e7079449bac41 + .quad 0x855ae36dbce2310a + .quad 0x4cae76215f841a7c + .quad 0x389e740c9a9ce1d6 + + // 2^112 * 7 * B + + .quad 0x64fcb3ae34dcb9ce + .quad 0x97500323e348d0ad + .quad 0x45b3f07d62c6381b + .quad 0x61545379465a6788 + .quad 0xc9bd78f6570eac28 + .quad 0xe55b0b3227919ce1 + .quad 0x65fc3eaba19b91ed + .quad 0x25c425e5d6263690 + .quad 0x3f3e06a6f1d7de6e + .quad 0x3ef976278e062308 + .quad 0x8c14f6264e8a6c77 + .quad 0x6539a08915484759 + + // 2^112 * 8 * B + + .quad 0xe9d21f74c3d2f773 + .quad 0xc150544125c46845 + .quad 0x624e5ce8f9b99e33 + .quad 0x11c5e4aac5cd186c + .quad 0xddc4dbd414bb4a19 + .quad 0x19b2bc3c98424f8e + .quad 0x48a89fd736ca7169 + .quad 0x0f65320ef019bd90 + .quad 0xd486d1b1cafde0c6 + .quad 0x4f3fe6e3163b5181 + .quad 0x59a8af0dfaf2939a + .quad 0x4cabc7bdec33072a + + // 2^116 * 1 * B + + .quad 0x16faa8fb532f7428 + .quad 0xdbd42ea046a4e272 + .quad 0x5337653b8b9ea480 + .quad 0x4065947223973f03 + .quad 0xf7c0a19c1a54a044 + .quad 0x4a1c5e2477bd9fbb + .quad 0xa6e3ca115af22972 + .quad 0x1819bb953f2e9e0d + .quad 0x498fbb795e042e84 + .quad 0x7d0dd89a7698b714 + .quad 0x8bfb0ba427fe6295 + .quad 0x36ba82e721200524 + + // 2^116 * 2 * B + + .quad 0xd60ecbb74245ec41 + .quad 0xfd9be89e34348716 + .quad 0xc9240afee42284de + .quad 0x4472f648d0531db4 + .quad 0xc8d69d0a57274ed5 + .quad 0x45ba803260804b17 + .quad 0xdf3cda102255dfac + .quad 0x77d221232709b339 + .quad 0x498a6d7064ad94d8 + .quad 0xa5b5c8fd9af62263 + .quad 0x8ca8ed0545c141f4 + .quad 0x2c63bec3662d358c + + // 2^116 * 3 * B + + .quad 0x7fe60d8bea787955 + .quad 0xb9dc117eb5f401b7 + .quad 0x91c7c09a19355cce + .quad 0x22692ef59442bedf + .quad 0x9a518b3a8586f8bf + .quad 0x9ee71af6cbb196f0 + .quad 0xaa0625e6a2385cf2 + .quad 0x1deb2176ddd7c8d1 + .quad 0x8563d19a2066cf6c + .quad 0x401bfd8c4dcc7cd7 + .quad 0xd976a6becd0d8f62 + .quad 0x67cfd773a278b05e + + // 2^116 * 4 * B + + .quad 0x8dec31faef3ee475 + .quad 0x99dbff8a9e22fd92 + .quad 0x512d11594e26cab1 + .quad 0x0cde561eec4310b9 + .quad 0x2d5fa9855a4e586a + .quad 0x65f8f7a449beab7e + .quad 0xaa074dddf21d33d3 + .quad 0x185cba721bcb9dee + .quad 0x93869da3f4e3cb41 + .quad 0xbf0392f540f7977e + .quad 0x026204fcd0463b83 + .quad 0x3ec91a769eec6eed + + // 2^116 * 5 * B + + .quad 0x1e9df75bf78166ad + .quad 0x4dfda838eb0cd7af + .quad 0xba002ed8c1eaf988 + .quad 0x13fedb3e11f33cfc + .quad 0x0fad2fb7b0a3402f + .quad 0x46615ecbfb69f4a8 + .quad 0xf745bcc8c5f8eaa6 + .quad 0x7a5fa8794a94e896 + .quad 0x52958faa13cd67a1 + .quad 0x965ee0818bdbb517 + .quad 0x16e58daa2e8845b3 + .quad 0x357d397d5499da8f + + // 2^116 * 6 * B + + .quad 0x1ebfa05fb0bace6c + .quad 0xc934620c1caf9a1e + .quad 0xcc771cc41d82b61a + .quad 0x2d94a16aa5f74fec + .quad 0x481dacb4194bfbf8 + .quad 0x4d77e3f1bae58299 + .quad 0x1ef4612e7d1372a0 + .quad 0x3a8d867e70ff69e1 + .quad 0x6f58cd5d55aff958 + .quad 0xba3eaa5c75567721 + .quad 0x75c123999165227d + .quad 0x69be1343c2f2b35e + + // 2^116 * 7 * B + + .quad 0x0e091d5ee197c92a + .quad 0x4f51019f2945119f + .quad 0x143679b9f034e99c + .quad 0x7d88112e4d24c696 + .quad 0x82bbbdac684b8de3 + .quad 0xa2f4c7d03fca0718 + .quad 0x337f92fbe096aaa8 + .quad 0x200d4d8c63587376 + .quad 0x208aed4b4893b32b + .quad 0x3efbf23ebe59b964 + .quad 0xd762deb0dba5e507 + .quad 0x69607bd681bd9d94 + + // 2^116 * 8 * B + + .quad 0xf6be021068de1ce1 + .quad 0xe8d518e70edcbc1f + .quad 0xe3effdd01b5505a5 + .quad 0x35f63353d3ec3fd0 + .quad 0x3b7f3bd49323a902 + .quad 0x7c21b5566b2c6e53 + .quad 0xe5ba8ff53a7852a7 + .quad 0x28bc77a5838ece00 + .quad 0x63ba78a8e25d8036 + .quad 0x63651e0094333490 + .quad 0x48d82f20288ce532 + .quad 0x3a31abfa36b57524 + + // 2^120 * 1 * B + + .quad 0x239e9624089c0a2e + .quad 0xc748c4c03afe4738 + .quad 0x17dbed2a764fa12a + .quad 0x639b93f0321c8582 + .quad 0xc08f788f3f78d289 + .quad 0xfe30a72ca1404d9f + .quad 0xf2778bfccf65cc9d + .quad 0x7ee498165acb2021 + .quad 0x7bd508e39111a1c3 + .quad 0x2b2b90d480907489 + .quad 0xe7d2aec2ae72fd19 + .quad 0x0edf493c85b602a6 + + // 2^120 * 2 * B + + .quad 0xaecc8158599b5a68 + .quad 0xea574f0febade20e + .quad 0x4fe41d7422b67f07 + .quad 0x403b92e3019d4fb4 + .quad 0x6767c4d284764113 + .quad 0xa090403ff7f5f835 + .quad 0x1c8fcffacae6bede + .quad 0x04c00c54d1dfa369 + .quad 0x4dc22f818b465cf8 + .quad 0x71a0f35a1480eff8 + .quad 0xaee8bfad04c7d657 + .quad 0x355bb12ab26176f4 + + // 2^120 * 3 * B + + .quad 0xa71e64cc7493bbf4 + .quad 0xe5bd84d9eca3b0c3 + .quad 0x0a6bc50cfa05e785 + .quad 0x0f9b8132182ec312 + .quad 0xa301dac75a8c7318 + .quad 0xed90039db3ceaa11 + .quad 0x6f077cbf3bae3f2d + .quad 0x7518eaf8e052ad8e + .quad 0xa48859c41b7f6c32 + .quad 0x0f2d60bcf4383298 + .quad 0x1815a929c9b1d1d9 + .quad 0x47c3871bbb1755c4 + + // 2^120 * 4 * B + + .quad 0x5144539771ec4f48 + .quad 0xf805b17dc98c5d6e + .quad 0xf762c11a47c3c66b + .quad 0x00b89b85764699dc + .quad 0xfbe65d50c85066b0 + .quad 0x62ecc4b0b3a299b0 + .quad 0xe53754ea441ae8e0 + .quad 0x08fea02ce8d48d5f + .quad 0x824ddd7668deead0 + .quad 0xc86445204b685d23 + .quad 0xb514cfcd5d89d665 + .quad 0x473829a74f75d537 + + // 2^120 * 5 * B + + .quad 0x82d2da754679c418 + .quad 0xe63bd7d8b2618df0 + .quad 0x355eef24ac47eb0a + .quad 0x2078684c4833c6b4 + .quad 0x23d9533aad3902c9 + .quad 0x64c2ddceef03588f + .quad 0x15257390cfe12fb4 + .quad 0x6c668b4d44e4d390 + .quad 0x3b48cf217a78820c + .quad 0xf76a0ab281273e97 + .quad 0xa96c65a78c8eed7b + .quad 0x7411a6054f8a433f + + // 2^120 * 6 * B + + .quad 0x4d659d32b99dc86d + .quad 0x044cdc75603af115 + .quad 0xb34c712cdcc2e488 + .quad 0x7c136574fb8134ff + .quad 0x579ae53d18b175b4 + .quad 0x68713159f392a102 + .quad 0x8455ecba1eef35f5 + .quad 0x1ec9a872458c398f + .quad 0xb8e6a4d400a2509b + .quad 0x9b81d7020bc882b4 + .quad 0x57e7cc9bf1957561 + .quad 0x3add88a5c7cd6460 + + // 2^120 * 7 * B + + .quad 0xab895770b635dcf2 + .quad 0x02dfef6cf66c1fbc + .quad 0x85530268beb6d187 + .quad 0x249929fccc879e74 + .quad 0x85c298d459393046 + .quad 0x8f7e35985ff659ec + .quad 0x1d2ca22af2f66e3a + .quad 0x61ba1131a406a720 + .quad 0xa3d0a0f116959029 + .quad 0x023b6b6cba7ebd89 + .quad 0x7bf15a3e26783307 + .quad 0x5620310cbbd8ece7 + + // 2^120 * 8 * B + + .quad 0x528993434934d643 + .quad 0xb9dbf806a51222f5 + .quad 0x8f6d878fc3f41c22 + .quad 0x37676a2a4d9d9730 + .quad 0x6646b5f477e285d6 + .quad 0x40e8ff676c8f6193 + .quad 0xa6ec7311abb594dd + .quad 0x7ec846f3658cec4d + .quad 0x9b5e8f3f1da22ec7 + .quad 0x130f1d776c01cd13 + .quad 0x214c8fcfa2989fb8 + .quad 0x6daaf723399b9dd5 + + // 2^124 * 1 * B + + .quad 0x591e4a5610628564 + .quad 0x2a4bb87ca8b4df34 + .quad 0xde2a2572e7a38e43 + .quad 0x3cbdabd9fee5046e + .quad 0x81aebbdd2cd13070 + .quad 0x962e4325f85a0e9e + .quad 0xde9391aacadffecb + .quad 0x53177fda52c230e6 + .quad 0xa7bc970650b9de79 + .quad 0x3d12a7fbc301b59b + .quad 0x02652e68d36ae38c + .quad 0x79d739835a6199dc + + // 2^124 * 2 * B + + .quad 0xd9354df64131c1bd + .quad 0x758094a186ec5822 + .quad 0x4464ee12e459f3c2 + .quad 0x6c11fce4cb133282 + .quad 0x21c9d9920d591737 + .quad 0x9bea41d2e9b46cd6 + .quad 0xe20e84200d89bfca + .quad 0x79d99f946eae5ff8 + .quad 0xf17b483568673205 + .quad 0x387deae83caad96c + .quad 0x61b471fd56ffe386 + .quad 0x31741195b745a599 + + // 2^124 * 3 * B + + .quad 0xe8d10190b77a360b + .quad 0x99b983209995e702 + .quad 0xbd4fdff8fa0247aa + .quad 0x2772e344e0d36a87 + .quad 0x17f8ba683b02a047 + .quad 0x50212096feefb6c8 + .quad 0x70139be21556cbe2 + .quad 0x203e44a11d98915b + .quad 0xd6863eba37b9e39f + .quad 0x105bc169723b5a23 + .quad 0x104f6459a65c0762 + .quad 0x567951295b4d38d4 + + // 2^124 * 4 * B + + .quad 0x535fd60613037524 + .quad 0xe210adf6b0fbc26a + .quad 0xac8d0a9b23e990ae + .quad 0x47204d08d72fdbf9 + .quad 0x07242eb30d4b497f + .quad 0x1ef96306b9bccc87 + .quad 0x37950934d8116f45 + .quad 0x05468d6201405b04 + .quad 0x00f565a9f93267de + .quad 0xcecfd78dc0d58e8a + .quad 0xa215e2dcf318e28e + .quad 0x4599ee919b633352 + + // 2^124 * 5 * B + + .quad 0xd3c220ca70e0e76b + .quad 0xb12bea58ea9f3094 + .quad 0x294ddec8c3271282 + .quad 0x0c3539e1a1d1d028 + .quad 0xac746d6b861ae579 + .quad 0x31ab0650f6aea9dc + .quad 0x241d661140256d4c + .quad 0x2f485e853d21a5de + .quad 0x329744839c0833f3 + .quad 0x6fe6257fd2abc484 + .quad 0x5327d1814b358817 + .quad 0x65712585893fe9bc + + // 2^124 * 6 * B + + .quad 0x9c102fb732a61161 + .quad 0xe48e10dd34d520a8 + .quad 0x365c63546f9a9176 + .quad 0x32f6fe4c046f6006 + .quad 0x81c29f1bd708ee3f + .quad 0xddcb5a05ae6407d0 + .quad 0x97aec1d7d2a3eba7 + .quad 0x1590521a91d50831 + .quad 0x40a3a11ec7910acc + .quad 0x9013dff8f16d27ae + .quad 0x1a9720d8abb195d4 + .quad 0x1bb9fe452ea98463 + + // 2^124 * 7 * B + + .quad 0xe9d1d950b3d54f9e + .quad 0x2d5f9cbee00d33c1 + .quad 0x51c2c656a04fc6ac + .quad 0x65c091ee3c1cbcc9 + .quad 0xcf5e6c95cc36747c + .quad 0x294201536b0bc30d + .quad 0x453ac67cee797af0 + .quad 0x5eae6ab32a8bb3c9 + .quad 0x7083661114f118ea + .quad 0x2b37b87b94349cad + .quad 0x7273f51cb4e99f40 + .quad 0x78a2a95823d75698 + + // 2^124 * 8 * B + + .quad 0xa2b072e95c8c2ace + .quad 0x69cffc96651e9c4b + .quad 0x44328ef842e7b42b + .quad 0x5dd996c122aadeb3 + .quad 0xb4f23c425ef83207 + .quad 0xabf894d3c9a934b5 + .quad 0xd0708c1339fd87f7 + .quad 0x1876789117166130 + .quad 0x925b5ef0670c507c + .quad 0x819bc842b93c33bf + .quad 0x10792e9a70dd003f + .quad 0x59ad4b7a6e28dc74 + + // 2^128 * 1 * B + + .quad 0x5f3a7562eb3dbe47 + .quad 0xf7ea38548ebda0b8 + .quad 0x00c3e53145747299 + .quad 0x1304e9e71627d551 + .quad 0x583b04bfacad8ea2 + .quad 0x29b743e8148be884 + .quad 0x2b1e583b0810c5db + .quad 0x2b5449e58eb3bbaa + .quad 0x789814d26adc9cfe + .quad 0x3c1bab3f8b48dd0b + .quad 0xda0fe1fff979c60a + .quad 0x4468de2d7c2dd693 + + // 2^128 * 2 * B + + .quad 0x51bb355e9419469e + .quad 0x33e6dc4c23ddc754 + .quad 0x93a5b6d6447f9962 + .quad 0x6cce7c6ffb44bd63 + .quad 0x4b9ad8c6f86307ce + .quad 0x21113531435d0c28 + .quad 0xd4a866c5657a772c + .quad 0x5da6427e63247352 + .quad 0x1a94c688deac22ca + .quad 0xb9066ef7bbae1ff8 + .quad 0x88ad8c388d59580f + .quad 0x58f29abfe79f2ca8 + + // 2^128 * 3 * B + + .quad 0xe90ecfab8de73e68 + .quad 0x54036f9f377e76a5 + .quad 0xf0495b0bbe015982 + .quad 0x577629c4a7f41e36 + .quad 0x4b5a64bf710ecdf6 + .quad 0xb14ce538462c293c + .quad 0x3643d056d50b3ab9 + .quad 0x6af93724185b4870 + .quad 0x3220024509c6a888 + .quad 0xd2e036134b558973 + .quad 0x83e236233c33289f + .quad 0x701f25bb0caec18f + + // 2^128 * 4 * B + + .quad 0xc3a8b0f8e4616ced + .quad 0xf700660e9e25a87d + .quad 0x61e3061ff4bca59c + .quad 0x2e0c92bfbdc40be9 + .quad 0x9d18f6d97cbec113 + .quad 0x844a06e674bfdbe4 + .quad 0x20f5b522ac4e60d6 + .quad 0x720a5bc050955e51 + .quad 0x0c3f09439b805a35 + .quad 0xe84e8b376242abfc + .quad 0x691417f35c229346 + .quad 0x0e9b9cbb144ef0ec + + // 2^128 * 5 * B + + .quad 0xfbbad48ffb5720ad + .quad 0xee81916bdbf90d0e + .quad 0xd4813152635543bf + .quad 0x221104eb3f337bd8 + .quad 0x8dee9bd55db1beee + .quad 0xc9c3ab370a723fb9 + .quad 0x44a8f1bf1c68d791 + .quad 0x366d44191cfd3cde + .quad 0x9e3c1743f2bc8c14 + .quad 0x2eda26fcb5856c3b + .quad 0xccb82f0e68a7fb97 + .quad 0x4167a4e6bc593244 + + // 2^128 * 6 * B + + .quad 0x643b9d2876f62700 + .quad 0x5d1d9d400e7668eb + .quad 0x1b4b430321fc0684 + .quad 0x7938bb7e2255246a + .quad 0xc2be2665f8ce8fee + .quad 0xe967ff14e880d62c + .quad 0xf12e6e7e2f364eee + .quad 0x34b33370cb7ed2f6 + .quad 0xcdc591ee8681d6cc + .quad 0xce02109ced85a753 + .quad 0xed7485c158808883 + .quad 0x1176fc6e2dfe65e4 + + // 2^128 * 7 * B + + .quad 0xb4af6cd05b9c619b + .quad 0x2ddfc9f4b2a58480 + .quad 0x3d4fa502ebe94dc4 + .quad 0x08fc3a4c677d5f34 + .quad 0xdb90e28949770eb8 + .quad 0x98fbcc2aacf440a3 + .quad 0x21354ffeded7879b + .quad 0x1f6a3e54f26906b6 + .quad 0x60a4c199d30734ea + .quad 0x40c085b631165cd6 + .quad 0xe2333e23f7598295 + .quad 0x4f2fad0116b900d1 + + // 2^128 * 8 * B + + .quad 0x44beb24194ae4e54 + .quad 0x5f541c511857ef6c + .quad 0xa61e6b2d368d0498 + .quad 0x445484a4972ef7ab + .quad 0x962cd91db73bb638 + .quad 0xe60577aafc129c08 + .quad 0x6f619b39f3b61689 + .quad 0x3451995f2944ee81 + .quad 0x9152fcd09fea7d7c + .quad 0x4a816c94b0935cf6 + .quad 0x258e9aaa47285c40 + .quad 0x10b89ca6042893b7 + + // 2^132 * 1 * B + + .quad 0x9b2a426e3b646025 + .quad 0x32127190385ce4cf + .quad 0xa25cffc2dd6dea45 + .quad 0x06409010bea8de75 + .quad 0xd67cded679d34aa0 + .quad 0xcc0b9ec0cc4db39f + .quad 0xa535a456e35d190f + .quad 0x2e05d9eaf61f6fef + .quad 0xc447901ad61beb59 + .quad 0x661f19bce5dc880a + .quad 0x24685482b7ca6827 + .quad 0x293c778cefe07f26 + + // 2^132 * 2 * B + + .quad 0x86809e7007069096 + .quad 0xaad75b15e4e50189 + .quad 0x07f35715a21a0147 + .quad 0x0487f3f112815d5e + .quad 0x16c795d6a11ff200 + .quad 0xcb70d0e2b15815c9 + .quad 0x89f293209b5395b5 + .quad 0x50b8c2d031e47b4f + .quad 0x48350c08068a4962 + .quad 0x6ffdd05351092c9a + .quad 0x17af4f4aaf6fc8dd + .quad 0x4b0553b53cdba58b + + // 2^132 * 3 * B + + .quad 0x9c65fcbe1b32ff79 + .quad 0xeb75ea9f03b50f9b + .quad 0xfced2a6c6c07e606 + .quad 0x35106cd551717908 + .quad 0xbf05211b27c152d4 + .quad 0x5ec26849bd1af639 + .quad 0x5e0b2caa8e6fab98 + .quad 0x054c8bdd50bd0840 + .quad 0x38a0b12f1dcf073d + .quad 0x4b60a8a3b7f6a276 + .quad 0xfed5ac25d3404f9a + .quad 0x72e82d5e5505c229 + + // 2^132 * 4 * B + + .quad 0x6b0b697ff0d844c8 + .quad 0xbb12f85cd979cb49 + .quad 0xd2a541c6c1da0f1f + .quad 0x7b7c242958ce7211 + .quad 0x00d9cdfd69771d02 + .quad 0x410276cd6cfbf17e + .quad 0x4c45306c1cb12ec7 + .quad 0x2857bf1627500861 + .quad 0x9f21903f0101689e + .quad 0xd779dfd3bf861005 + .quad 0xa122ee5f3deb0f1b + .quad 0x510df84b485a00d4 + + // 2^132 * 5 * B + + .quad 0xa54133bb9277a1fa + .quad 0x74ec3b6263991237 + .quad 0x1a3c54dc35d2f15a + .quad 0x2d347144e482ba3a + .quad 0x24b3c887c70ac15e + .quad 0xb0f3a557fb81b732 + .quad 0x9b2cde2fe578cc1b + .quad 0x4cf7ed0703b54f8e + .quad 0x6bd47c6598fbee0f + .quad 0x9e4733e2ab55be2d + .quad 0x1093f624127610c5 + .quad 0x4e05e26ad0a1eaa4 + + // 2^132 * 6 * B + + .quad 0xda9b6b624b531f20 + .quad 0x429a760e77509abb + .quad 0xdbe9f522e823cb80 + .quad 0x618f1856880c8f82 + .quad 0x1833c773e18fe6c0 + .quad 0xe3c4711ad3c87265 + .quad 0x3bfd3c4f0116b283 + .quad 0x1955875eb4cd4db8 + .quad 0x6da6de8f0e399799 + .quad 0x7ad61aa440fda178 + .quad 0xb32cd8105e3563dd + .quad 0x15f6beae2ae340ae + + // 2^132 * 7 * B + + .quad 0x862bcb0c31ec3a62 + .quad 0x810e2b451138f3c2 + .quad 0x788ec4b839dac2a4 + .quad 0x28f76867ae2a9281 + .quad 0xba9a0f7b9245e215 + .quad 0xf368612dd98c0dbb + .quad 0x2e84e4cbf220b020 + .quad 0x6ba92fe962d90eda + .quad 0x3e4df9655884e2aa + .quad 0xbd62fbdbdbd465a5 + .quad 0xd7596caa0de9e524 + .quad 0x6e8042ccb2b1b3d7 + + // 2^132 * 8 * B + + .quad 0xf10d3c29ce28ca6e + .quad 0xbad34540fcb6093d + .quad 0xe7426ed7a2ea2d3f + .quad 0x08af9d4e4ff298b9 + .quad 0x1530653616521f7e + .quad 0x660d06b896203dba + .quad 0x2d3989bc545f0879 + .quad 0x4b5303af78ebd7b0 + .quad 0x72f8a6c3bebcbde8 + .quad 0x4f0fca4adc3a8e89 + .quad 0x6fa9d4e8c7bfdf7a + .quad 0x0dcf2d679b624eb7 + + // 2^136 * 1 * B + + .quad 0x3d5947499718289c + .quad 0x12ebf8c524533f26 + .quad 0x0262bfcb14c3ef15 + .quad 0x20b878d577b7518e + .quad 0x753941be5a45f06e + .quad 0xd07caeed6d9c5f65 + .quad 0x11776b9c72ff51b6 + .quad 0x17d2d1d9ef0d4da9 + .quad 0x27f2af18073f3e6a + .quad 0xfd3fe519d7521069 + .quad 0x22e3b72c3ca60022 + .quad 0x72214f63cc65c6a7 + + // 2^136 * 2 * B + + .quad 0xb4e37f405307a693 + .quad 0xaba714d72f336795 + .quad 0xd6fbd0a773761099 + .quad 0x5fdf48c58171cbc9 + .quad 0x1d9db7b9f43b29c9 + .quad 0xd605824a4f518f75 + .quad 0xf2c072bd312f9dc4 + .quad 0x1f24ac855a1545b0 + .quad 0x24d608328e9505aa + .quad 0x4748c1d10c1420ee + .quad 0xc7ffe45c06fb25a2 + .quad 0x00ba739e2ae395e6 + + // 2^136 * 3 * B + + .quad 0x592e98de5c8790d6 + .quad 0xe5bfb7d345c2a2df + .quad 0x115a3b60f9b49922 + .quad 0x03283a3e67ad78f3 + .quad 0xae4426f5ea88bb26 + .quad 0x360679d984973bfb + .quad 0x5c9f030c26694e50 + .quad 0x72297de7d518d226 + .quad 0x48241dc7be0cb939 + .quad 0x32f19b4d8b633080 + .quad 0xd3dfc90d02289308 + .quad 0x05e1296846271945 + + // 2^136 * 4 * B + + .quad 0xba82eeb32d9c495a + .quad 0xceefc8fcf12bb97c + .quad 0xb02dabae93b5d1e0 + .quad 0x39c00c9c13698d9b + .quad 0xadbfbbc8242c4550 + .quad 0xbcc80cecd03081d9 + .quad 0x843566a6f5c8df92 + .quad 0x78cf25d38258ce4c + .quad 0x15ae6b8e31489d68 + .quad 0xaa851cab9c2bf087 + .quad 0xc9a75a97f04efa05 + .quad 0x006b52076b3ff832 + + // 2^136 * 5 * B + + .quad 0x29e0cfe19d95781c + .quad 0xb681df18966310e2 + .quad 0x57df39d370516b39 + .quad 0x4d57e3443bc76122 + .quad 0xf5cb7e16b9ce082d + .quad 0x3407f14c417abc29 + .quad 0xd4b36bce2bf4a7ab + .quad 0x7de2e9561a9f75ce + .quad 0xde70d4f4b6a55ecb + .quad 0x4801527f5d85db99 + .quad 0xdbc9c440d3ee9a81 + .quad 0x6b2a90af1a6029ed + + // 2^136 * 6 * B + + .quad 0x6923f4fc9ae61e97 + .quad 0x5735281de03f5fd1 + .quad 0xa764ae43e6edd12d + .quad 0x5fd8f4e9d12d3e4a + .quad 0x77ebf3245bb2d80a + .quad 0xd8301b472fb9079b + .quad 0xc647e6f24cee7333 + .quad 0x465812c8276c2109 + .quad 0x4d43beb22a1062d9 + .quad 0x7065fb753831dc16 + .quad 0x180d4a7bde2968d7 + .quad 0x05b32c2b1cb16790 + + // 2^136 * 7 * B + + .quad 0xc8c05eccd24da8fd + .quad 0xa1cf1aac05dfef83 + .quad 0xdbbeeff27df9cd61 + .quad 0x3b5556a37b471e99 + .quad 0xf7fca42c7ad58195 + .quad 0x3214286e4333f3cc + .quad 0xb6c29d0d340b979d + .quad 0x31771a48567307e1 + .quad 0x32b0c524e14dd482 + .quad 0xedb351541a2ba4b6 + .quad 0xa3d16048282b5af3 + .quad 0x4fc079d27a7336eb + + // 2^136 * 8 * B + + .quad 0x51c938b089bf2f7f + .quad 0x2497bd6502dfe9a7 + .quad 0xffffc09c7880e453 + .quad 0x124567cecaf98e92 + .quad 0xdc348b440c86c50d + .quad 0x1337cbc9cc94e651 + .quad 0x6422f74d643e3cb9 + .quad 0x241170c2bae3cd08 + .quad 0x3ff9ab860ac473b4 + .quad 0xf0911dee0113e435 + .quad 0x4ae75060ebc6c4af + .quad 0x3f8612966c87000d + + // 2^140 * 1 * B + + .quad 0x0c9c5303f7957be4 + .quad 0xa3c31a20e085c145 + .quad 0xb0721d71d0850050 + .quad 0x0aba390eab0bf2da + .quad 0x529fdffe638c7bf3 + .quad 0xdf2b9e60388b4995 + .quad 0xe027b34f1bad0249 + .quad 0x7bc92fc9b9fa74ed + .quad 0x9f97ef2e801ad9f9 + .quad 0x83697d5479afda3a + .quad 0xe906b3ffbd596b50 + .quad 0x02672b37dd3fb8e0 + + // 2^140 * 2 * B + + .quad 0x48b2ca8b260885e4 + .quad 0xa4286bec82b34c1c + .quad 0x937e1a2617f58f74 + .quad 0x741d1fcbab2ca2a5 + .quad 0xee9ba729398ca7f5 + .quad 0xeb9ca6257a4849db + .quad 0x29eb29ce7ec544e1 + .quad 0x232ca21ef736e2c8 + .quad 0xbf61423d253fcb17 + .quad 0x08803ceafa39eb14 + .quad 0xf18602df9851c7af + .quad 0x0400f3a049e3414b + + // 2^140 * 3 * B + + .quad 0xabce0476ba61c55b + .quad 0x36a3d6d7c4d39716 + .quad 0x6eb259d5e8d82d09 + .quad 0x0c9176e984d756fb + .quad 0x2efba412a06e7b06 + .quad 0x146785452c8d2560 + .quad 0xdf9713ebd67a91c7 + .quad 0x32830ac7157eadf3 + .quad 0x0e782a7ab73769e8 + .quad 0x04a05d7875b18e2c + .quad 0x29525226ebcceae1 + .quad 0x0d794f8383eba820 + + // 2^140 * 4 * B + + .quad 0xff35f5cb9e1516f4 + .quad 0xee805bcf648aae45 + .quad 0xf0d73c2bb93a9ef3 + .quad 0x097b0bf22092a6c2 + .quad 0x7be44ce7a7a2e1ac + .quad 0x411fd93efad1b8b7 + .quad 0x1734a1d70d5f7c9b + .quad 0x0d6592233127db16 + .quad 0xc48bab1521a9d733 + .quad 0xa6c2eaead61abb25 + .quad 0x625c6c1cc6cb4305 + .quad 0x7fc90fea93eb3a67 + + // 2^140 * 5 * B + + .quad 0x0408f1fe1f5c5926 + .quad 0x1a8f2f5e3b258bf4 + .quad 0x40a951a2fdc71669 + .quad 0x6598ee93c98b577e + .quad 0xc527deb59c7cb23d + .quad 0x955391695328404e + .quad 0xd64392817ccf2c7a + .quad 0x6ce97dabf7d8fa11 + .quad 0x25b5a8e50ef7c48f + .quad 0xeb6034116f2ce532 + .quad 0xc5e75173e53de537 + .quad 0x73119fa08c12bb03 + + // 2^140 * 6 * B + + .quad 0xed30129453f1a4cb + .quad 0xbce621c9c8f53787 + .quad 0xfacb2b1338bee7b9 + .quad 0x3025798a9ea8428c + .quad 0x7845b94d21f4774d + .quad 0xbf62f16c7897b727 + .quad 0x671857c03c56522b + .quad 0x3cd6a85295621212 + .quad 0x3fecde923aeca999 + .quad 0xbdaa5b0062e8c12f + .quad 0x67b99dfc96988ade + .quad 0x3f52c02852661036 + + // 2^140 * 7 * B + + .quad 0xffeaa48e2a1351c6 + .quad 0x28624754fa7f53d7 + .quad 0x0b5ba9e57582ddf1 + .quad 0x60c0104ba696ac59 + .quad 0x9258bf99eec416c6 + .quad 0xac8a5017a9d2f671 + .quad 0x629549ab16dea4ab + .quad 0x05d0e85c99091569 + .quad 0x051de020de9cbe97 + .quad 0xfa07fc56b50bcf74 + .quad 0x378cec9f0f11df65 + .quad 0x36853c69ab96de4d + + // 2^140 * 8 * B + + .quad 0x36d9b8de78f39b2d + .quad 0x7f42ed71a847b9ec + .quad 0x241cd1d679bd3fde + .quad 0x6a704fec92fbce6b + .quad 0x4433c0b0fac5e7be + .quad 0x724bae854c08dcbe + .quad 0xf1f24cc446978f9b + .quad 0x4a0aff6d62825fc8 + .quad 0xe917fb9e61095301 + .quad 0xc102df9402a092f8 + .quad 0xbf09e2f5fa66190b + .quad 0x681109bee0dcfe37 + + // 2^144 * 1 * B + + .quad 0x559a0cc9782a0dde + .quad 0x551dcdb2ea718385 + .quad 0x7f62865b31ef238c + .quad 0x504aa7767973613d + .quad 0x9c18fcfa36048d13 + .quad 0x29159db373899ddd + .quad 0xdc9f350b9f92d0aa + .quad 0x26f57eee878a19d4 + .quad 0x0cab2cd55687efb1 + .quad 0x5180d162247af17b + .quad 0x85c15a344f5a2467 + .quad 0x4041943d9dba3069 + + // 2^144 * 2 * B + + .quad 0xc3c0eeba43ebcc96 + .quad 0x8d749c9c26ea9caf + .quad 0xd9fa95ee1c77ccc6 + .quad 0x1420a1d97684340f + .quad 0x4b217743a26caadd + .quad 0x47a6b424648ab7ce + .quad 0xcb1d4f7a03fbc9e3 + .quad 0x12d931429800d019 + .quad 0x00c67799d337594f + .quad 0x5e3c5140b23aa47b + .quad 0x44182854e35ff395 + .quad 0x1b4f92314359a012 + + // 2^144 * 3 * B + + .quad 0x3e5c109d89150951 + .quad 0x39cefa912de9696a + .quad 0x20eae43f975f3020 + .quad 0x239b572a7f132dae + .quad 0x33cf3030a49866b1 + .quad 0x251f73d2215f4859 + .quad 0xab82aa4051def4f6 + .quad 0x5ff191d56f9a23f6 + .quad 0x819ed433ac2d9068 + .quad 0x2883ab795fc98523 + .quad 0xef4572805593eb3d + .quad 0x020c526a758f36cb + + // 2^144 * 4 * B + + .quad 0x779834f89ed8dbbc + .quad 0xc8f2aaf9dc7ca46c + .quad 0xa9524cdca3e1b074 + .quad 0x02aacc4615313877 + .quad 0xe931ef59f042cc89 + .quad 0x2c589c9d8e124bb6 + .quad 0xadc8e18aaec75997 + .quad 0x452cfe0a5602c50c + .quad 0x86a0f7a0647877df + .quad 0xbbc464270e607c9f + .quad 0xab17ea25f1fb11c9 + .quad 0x4cfb7d7b304b877b + + // 2^144 * 5 * B + + .quad 0x72b43d6cb89b75fe + .quad 0x54c694d99c6adc80 + .quad 0xb8c3aa373ee34c9f + .quad 0x14b4622b39075364 + .quad 0xe28699c29789ef12 + .quad 0x2b6ecd71df57190d + .quad 0xc343c857ecc970d0 + .quad 0x5b1d4cbc434d3ac5 + .quad 0xb6fb2615cc0a9f26 + .quad 0x3a4f0e2bb88dcce5 + .quad 0x1301498b3369a705 + .quad 0x2f98f71258592dd1 + + // 2^144 * 6 * B + + .quad 0x0c94a74cb50f9e56 + .quad 0x5b1ff4a98e8e1320 + .quad 0x9a2acc2182300f67 + .quad 0x3a6ae249d806aaf9 + .quad 0x2e12ae444f54a701 + .quad 0xfcfe3ef0a9cbd7de + .quad 0xcebf890d75835de0 + .quad 0x1d8062e9e7614554 + .quad 0x657ada85a9907c5a + .quad 0x1a0ea8b591b90f62 + .quad 0x8d0e1dfbdf34b4e9 + .quad 0x298b8ce8aef25ff3 + + // 2^144 * 7 * B + + .quad 0x2a927953eff70cb2 + .quad 0x4b89c92a79157076 + .quad 0x9418457a30a7cf6a + .quad 0x34b8a8404d5ce485 + .quad 0x837a72ea0a2165de + .quad 0x3fab07b40bcf79f6 + .quad 0x521636c77738ae70 + .quad 0x6ba6271803a7d7dc + .quad 0xc26eecb583693335 + .quad 0xd5a813df63b5fefd + .quad 0xa293aa9aa4b22573 + .quad 0x71d62bdd465e1c6a + + // 2^144 * 8 * B + + .quad 0x6533cc28d378df80 + .quad 0xf6db43790a0fa4b4 + .quad 0xe3645ff9f701da5a + .quad 0x74d5f317f3172ba4 + .quad 0xcd2db5dab1f75ef5 + .quad 0xd77f95cf16b065f5 + .quad 0x14571fea3f49f085 + .quad 0x1c333621262b2b3d + .quad 0xa86fe55467d9ca81 + .quad 0x398b7c752b298c37 + .quad 0xda6d0892e3ac623b + .quad 0x4aebcc4547e9d98c + + // 2^148 * 1 * B + + .quad 0x53175a7205d21a77 + .quad 0xb0c04422d3b934d4 + .quad 0xadd9f24bdd5deadc + .quad 0x074f46e69f10ff8c + .quad 0x0de9b204a059a445 + .quad 0xe15cb4aa4b17ad0f + .quad 0xe1bbec521f79c557 + .quad 0x2633f1b9d071081b + .quad 0xc1fb4177018b9910 + .quad 0xa6ea20dc6c0fe140 + .quad 0xd661f3e74354c6ff + .quad 0x5ecb72e6f1a3407a + + // 2^148 * 2 * B + + .quad 0xa515a31b2259fb4e + .quad 0x0960f3972bcac52f + .quad 0xedb52fec8d3454cb + .quad 0x382e2720c476c019 + .quad 0xfeeae106e8e86997 + .quad 0x9863337f98d09383 + .quad 0x9470480eaa06ebef + .quad 0x038b6898d4c5c2d0 + .quad 0xf391c51d8ace50a6 + .quad 0x3142d0b9ae2d2948 + .quad 0xdb4d5a1a7f24ca80 + .quad 0x21aeba8b59250ea8 + + // 2^148 * 3 * B + + .quad 0x24f13b34cf405530 + .quad 0x3c44ea4a43088af7 + .quad 0x5dd5c5170006a482 + .quad 0x118eb8f8890b086d + .quad 0x53853600f0087f23 + .quad 0x4c461879da7d5784 + .quad 0x6af303deb41f6860 + .quad 0x0a3c16c5c27c18ed + .quad 0x17e49c17cc947f3d + .quad 0xccc6eda6aac1d27b + .quad 0xdf6092ceb0f08e56 + .quad 0x4909b3e22c67c36b + + // 2^148 * 4 * B + + .quad 0x9c9c85ea63fe2e89 + .quad 0xbe1baf910e9412ec + .quad 0x8f7baa8a86fbfe7b + .quad 0x0fb17f9fef968b6c + .quad 0x59a16676706ff64e + .quad 0x10b953dd0d86a53d + .quad 0x5848e1e6ce5c0b96 + .quad 0x2d8b78e712780c68 + .quad 0x79d5c62eafc3902b + .quad 0x773a215289e80728 + .quad 0xc38ae640e10120b9 + .quad 0x09ae23717b2b1a6d + + // 2^148 * 5 * B + + .quad 0xbb6a192a4e4d083c + .quad 0x34ace0630029e192 + .quad 0x98245a59aafabaeb + .quad 0x6d9c8a9ada97faac + .quad 0x10ab8fa1ad32b1d0 + .quad 0xe9aced1be2778b24 + .quad 0xa8856bc0373de90f + .quad 0x66f35ddddda53996 + .quad 0xd27d9afb24997323 + .quad 0x1bb7e07ef6f01d2e + .quad 0x2ba7472df52ecc7f + .quad 0x03019b4f646f9dc8 + + // 2^148 * 6 * B + + .quad 0x04a186b5565345cd + .quad 0xeee76610bcc4116a + .quad 0x689c73b478fb2a45 + .quad 0x387dcbff65697512 + .quad 0xaf09b214e6b3dc6b + .quad 0x3f7573b5ad7d2f65 + .quad 0xd019d988100a23b0 + .quad 0x392b63a58b5c35f7 + .quad 0x4093addc9c07c205 + .quad 0xc565be15f532c37e + .quad 0x63dbecfd1583402a + .quad 0x61722b4aef2e032e + + // 2^148 * 7 * B + + .quad 0x0012aafeecbd47af + .quad 0x55a266fb1cd46309 + .quad 0xf203eb680967c72c + .quad 0x39633944ca3c1429 + .quad 0xd6b07a5581cb0e3c + .quad 0x290ff006d9444969 + .quad 0x08680b6a16dcda1f + .quad 0x5568d2b75a06de59 + .quad 0x8d0cb88c1b37cfe1 + .quad 0x05b6a5a3053818f3 + .quad 0xf2e9bc04b787d959 + .quad 0x6beba1249add7f64 + + // 2^148 * 8 * B + + .quad 0x1d06005ca5b1b143 + .quad 0x6d4c6bb87fd1cda2 + .quad 0x6ef5967653fcffe7 + .quad 0x097c29e8c1ce1ea5 + .quad 0x5c3cecb943f5a53b + .quad 0x9cc9a61d06c08df2 + .quad 0xcfba639a85895447 + .quad 0x5a845ae80df09fd5 + .quad 0x4ce97dbe5deb94ca + .quad 0x38d0a4388c709c48 + .quad 0xc43eced4a169d097 + .quad 0x0a1249fff7e587c3 + + // 2^152 * 1 * B + + .quad 0x12f0071b276d01c9 + .quad 0xe7b8bac586c48c70 + .quad 0x5308129b71d6fba9 + .quad 0x5d88fbf95a3db792 + .quad 0x0b408d9e7354b610 + .quad 0x806b32535ba85b6e + .quad 0xdbe63a034a58a207 + .quad 0x173bd9ddc9a1df2c + .quad 0x2b500f1efe5872df + .quad 0x58d6582ed43918c1 + .quad 0xe6ed278ec9673ae0 + .quad 0x06e1cd13b19ea319 + + // 2^152 * 2 * B + + .quad 0x40d0ad516f166f23 + .quad 0x118e32931fab6abe + .quad 0x3fe35e14a04d088e + .quad 0x3080603526e16266 + .quad 0x472baf629e5b0353 + .quad 0x3baa0b90278d0447 + .quad 0x0c785f469643bf27 + .quad 0x7f3a6a1a8d837b13 + .quad 0xf7e644395d3d800b + .quad 0x95a8d555c901edf6 + .quad 0x68cd7830592c6339 + .quad 0x30d0fded2e51307e + + // 2^152 * 3 * B + + .quad 0xe0594d1af21233b3 + .quad 0x1bdbe78ef0cc4d9c + .quad 0x6965187f8f499a77 + .quad 0x0a9214202c099868 + .quad 0x9cb4971e68b84750 + .quad 0xa09572296664bbcf + .quad 0x5c8de72672fa412b + .quad 0x4615084351c589d9 + .quad 0xbc9019c0aeb9a02e + .quad 0x55c7110d16034cae + .quad 0x0e6df501659932ec + .quad 0x3bca0d2895ca5dfe + + // 2^152 * 4 * B + + .quad 0x40f031bc3c5d62a4 + .quad 0x19fc8b3ecff07a60 + .quad 0x98183da2130fb545 + .quad 0x5631deddae8f13cd + .quad 0x9c688eb69ecc01bf + .quad 0xf0bc83ada644896f + .quad 0xca2d955f5f7a9fe2 + .quad 0x4ea8b4038df28241 + .quad 0x2aed460af1cad202 + .quad 0x46305305a48cee83 + .quad 0x9121774549f11a5f + .quad 0x24ce0930542ca463 + + // 2^152 * 5 * B + + .quad 0x1fe890f5fd06c106 + .quad 0xb5c468355d8810f2 + .quad 0x827808fe6e8caf3e + .quad 0x41d4e3c28a06d74b + .quad 0x3fcfa155fdf30b85 + .quad 0xd2f7168e36372ea4 + .quad 0xb2e064de6492f844 + .quad 0x549928a7324f4280 + .quad 0xf26e32a763ee1a2e + .quad 0xae91e4b7d25ffdea + .quad 0xbc3bd33bd17f4d69 + .quad 0x491b66dec0dcff6a + + // 2^152 * 6 * B + + .quad 0x98f5b13dc7ea32a7 + .quad 0xe3d5f8cc7e16db98 + .quad 0xac0abf52cbf8d947 + .quad 0x08f338d0c85ee4ac + .quad 0x75f04a8ed0da64a1 + .quad 0xed222caf67e2284b + .quad 0x8234a3791f7b7ba4 + .quad 0x4cf6b8b0b7018b67 + .quad 0xc383a821991a73bd + .quad 0xab27bc01df320c7a + .quad 0xc13d331b84777063 + .quad 0x530d4a82eb078a99 + + // 2^152 * 7 * B + + .quad 0x004c3630e1f94825 + .quad 0x7e2d78268cab535a + .quad 0xc7482323cc84ff8b + .quad 0x65ea753f101770b9 + .quad 0x6d6973456c9abf9e + .quad 0x257fb2fc4900a880 + .quad 0x2bacf412c8cfb850 + .quad 0x0db3e7e00cbfbd5b + .quad 0x3d66fc3ee2096363 + .quad 0x81d62c7f61b5cb6b + .quad 0x0fbe044213443b1a + .quad 0x02a4ec1921e1a1db + + // 2^152 * 8 * B + + .quad 0x5ce6259a3b24b8a2 + .quad 0xb8577acc45afa0b8 + .quad 0xcccbe6e88ba07037 + .quad 0x3d143c51127809bf + .quad 0xf5c86162f1cf795f + .quad 0x118c861926ee57f2 + .quad 0x172124851c063578 + .quad 0x36d12b5dec067fcf + .quad 0x126d279179154557 + .quad 0xd5e48f5cfc783a0a + .quad 0x36bdb6e8df179bac + .quad 0x2ef517885ba82859 + + // 2^156 * 1 * B + + .quad 0x88bd438cd11e0d4a + .quad 0x30cb610d43ccf308 + .quad 0xe09a0e3791937bcc + .quad 0x4559135b25b1720c + .quad 0x1ea436837c6da1e9 + .quad 0xf9c189af1fb9bdbe + .quad 0x303001fcce5dd155 + .quad 0x28a7c99ebc57be52 + .quad 0xb8fd9399e8d19e9d + .quad 0x908191cb962423ff + .quad 0xb2b948d747c742a3 + .quad 0x37f33226d7fb44c4 + + // 2^156 * 2 * B + + .quad 0x0dae8767b55f6e08 + .quad 0x4a43b3b35b203a02 + .quad 0xe3725a6e80af8c79 + .quad 0x0f7a7fd1705fa7a3 + .quad 0x33912553c821b11d + .quad 0x66ed42c241e301df + .quad 0x066fcc11104222fd + .quad 0x307a3b41c192168f + .quad 0x8eeb5d076eb55ce0 + .quad 0x2fc536bfaa0d925a + .quad 0xbe81830fdcb6c6e8 + .quad 0x556c7045827baf52 + + // 2^156 * 3 * B + + .quad 0x8e2b517302e9d8b7 + .quad 0xe3e52269248714e8 + .quad 0xbd4fbd774ca960b5 + .quad 0x6f4b4199c5ecada9 + .quad 0xb94b90022bf44406 + .quad 0xabd4237eff90b534 + .quad 0x7600a960faf86d3a + .quad 0x2f45abdac2322ee3 + .quad 0x61af4912c8ef8a6a + .quad 0xe58fa4fe43fb6e5e + .quad 0xb5afcc5d6fd427cf + .quad 0x6a5393281e1e11eb + + // 2^156 * 4 * B + + .quad 0xf3da5139a5d1ee89 + .quad 0x8145457cff936988 + .quad 0x3f622fed00e188c4 + .quad 0x0f513815db8b5a3d + .quad 0x0fff04fe149443cf + .quad 0x53cac6d9865cddd7 + .quad 0x31385b03531ed1b7 + .quad 0x5846a27cacd1039d + .quad 0x4ff5cdac1eb08717 + .quad 0x67e8b29590f2e9bc + .quad 0x44093b5e237afa99 + .quad 0x0d414bed8708b8b2 + + // 2^156 * 5 * B + + .quad 0xcfb68265fd0e75f6 + .quad 0xe45b3e28bb90e707 + .quad 0x7242a8de9ff92c7a + .quad 0x685b3201933202dd + .quad 0x81886a92294ac9e8 + .quad 0x23162b45d55547be + .quad 0x94cfbc4403715983 + .quad 0x50eb8fdb134bc401 + .quad 0xc0b73ec6d6b330cd + .quad 0x84e44807132faff1 + .quad 0x732b7352c4a5dee1 + .quad 0x5d7c7cf1aa7cd2d2 + + // 2^156 * 6 * B + + .quad 0xaf3b46bf7a4aafa2 + .quad 0xb78705ec4d40d411 + .quad 0x114f0c6aca7c15e3 + .quad 0x3f364faaa9489d4d + .quad 0x33d1013e9b73a562 + .quad 0x925cef5748ec26e1 + .quad 0xa7fce614dd468058 + .quad 0x78b0fad41e9aa438 + .quad 0xbf56a431ed05b488 + .quad 0xa533e66c9c495c7e + .quad 0xe8652baf87f3651a + .quad 0x0241800059d66c33 + + // 2^156 * 7 * B + + .quad 0xceb077fea37a5be4 + .quad 0xdb642f02e5a5eeb7 + .quad 0xc2e6d0c5471270b8 + .quad 0x4771b65538e4529c + .quad 0x28350c7dcf38ea01 + .quad 0x7c6cdbc0b2917ab6 + .quad 0xace7cfbe857082f7 + .quad 0x4d2845aba2d9a1e0 + .quad 0xbb537fe0447070de + .quad 0xcba744436dd557df + .quad 0xd3b5a3473600dbcb + .quad 0x4aeabbe6f9ffd7f8 + + // 2^156 * 8 * B + + .quad 0x4630119e40d8f78c + .quad 0xa01a9bc53c710e11 + .quad 0x486d2b258910dd79 + .quad 0x1e6c47b3db0324e5 + .quad 0x6a2134bcc4a9c8f2 + .quad 0xfbf8fd1c8ace2e37 + .quad 0x000ae3049911a0ba + .quad 0x046e3a616bc89b9e + .quad 0x14e65442f03906be + .quad 0x4a019d54e362be2a + .quad 0x68ccdfec8dc230c7 + .quad 0x7cfb7e3faf6b861c + + // 2^160 * 1 * B + + .quad 0x4637974e8c58aedc + .quad 0xb9ef22fbabf041a4 + .quad 0xe185d956e980718a + .quad 0x2f1b78fab143a8a6 + .quad 0x96eebffb305b2f51 + .quad 0xd3f938ad889596b8 + .quad 0xf0f52dc746d5dd25 + .quad 0x57968290bb3a0095 + .quad 0xf71ab8430a20e101 + .quad 0xf393658d24f0ec47 + .quad 0xcf7509a86ee2eed1 + .quad 0x7dc43e35dc2aa3e1 + + // 2^160 * 2 * B + + .quad 0x85966665887dd9c3 + .quad 0xc90f9b314bb05355 + .quad 0xc6e08df8ef2079b1 + .quad 0x7ef72016758cc12f + .quad 0x5a782a5c273e9718 + .quad 0x3576c6995e4efd94 + .quad 0x0f2ed8051f237d3e + .quad 0x044fb81d82d50a99 + .quad 0xc1df18c5a907e3d9 + .quad 0x57b3371dce4c6359 + .quad 0xca704534b201bb49 + .quad 0x7f79823f9c30dd2e + + // 2^160 * 3 * B + + .quad 0x8334d239a3b513e8 + .quad 0xc13670d4b91fa8d8 + .quad 0x12b54136f590bd33 + .quad 0x0a4e0373d784d9b4 + .quad 0x6a9c1ff068f587ba + .quad 0x0827894e0050c8de + .quad 0x3cbf99557ded5be7 + .quad 0x64a9b0431c06d6f0 + .quad 0x2eb3d6a15b7d2919 + .quad 0xb0b4f6a0d53a8235 + .quad 0x7156ce4389a45d47 + .quad 0x071a7d0ace18346c + + // 2^160 * 4 * B + + .quad 0xd3072daac887ba0b + .quad 0x01262905bfa562ee + .quad 0xcf543002c0ef768b + .quad 0x2c3bcc7146ea7e9c + .quad 0xcc0c355220e14431 + .quad 0x0d65950709b15141 + .quad 0x9af5621b209d5f36 + .quad 0x7c69bcf7617755d3 + .quad 0x07f0d7eb04e8295f + .quad 0x10db18252f50f37d + .quad 0xe951a9a3171798d7 + .quad 0x6f5a9a7322aca51d + + // 2^160 * 5 * B + + .quad 0x8ba1000c2f41c6c5 + .quad 0xc49f79c10cfefb9b + .quad 0x4efa47703cc51c9f + .quad 0x494e21a2e147afca + .quad 0xe729d4eba3d944be + .quad 0x8d9e09408078af9e + .quad 0x4525567a47869c03 + .quad 0x02ab9680ee8d3b24 + .quad 0xefa48a85dde50d9a + .quad 0x219a224e0fb9a249 + .quad 0xfa091f1dd91ef6d9 + .quad 0x6b5d76cbea46bb34 + + // 2^160 * 6 * B + + .quad 0x8857556cec0cd994 + .quad 0x6472dc6f5cd01dba + .quad 0xaf0169148f42b477 + .quad 0x0ae333f685277354 + .quad 0xe0f941171e782522 + .quad 0xf1e6ae74036936d3 + .quad 0x408b3ea2d0fcc746 + .quad 0x16fb869c03dd313e + .quad 0x288e199733b60962 + .quad 0x24fc72b4d8abe133 + .quad 0x4811f7ed0991d03e + .quad 0x3f81e38b8f70d075 + + // 2^160 * 7 * B + + .quad 0x7f910fcc7ed9affe + .quad 0x545cb8a12465874b + .quad 0xa8397ed24b0c4704 + .quad 0x50510fc104f50993 + .quad 0x0adb7f355f17c824 + .quad 0x74b923c3d74299a4 + .quad 0xd57c3e8bcbf8eaf7 + .quad 0x0ad3e2d34cdedc3d + .quad 0x6f0c0fc5336e249d + .quad 0x745ede19c331cfd9 + .quad 0xf2d6fd0009eefe1c + .quad 0x127c158bf0fa1ebe + + // 2^160 * 8 * B + + .quad 0xf6197c422e9879a2 + .quad 0xa44addd452ca3647 + .quad 0x9b413fc14b4eaccb + .quad 0x354ef87d07ef4f68 + .quad 0xdea28fc4ae51b974 + .quad 0x1d9973d3744dfe96 + .quad 0x6240680b873848a8 + .quad 0x4ed82479d167df95 + .quad 0xfee3b52260c5d975 + .quad 0x50352efceb41b0b8 + .quad 0x8808ac30a9f6653c + .quad 0x302d92d20539236d + + // 2^164 * 1 * B + + .quad 0x4c59023fcb3efb7c + .quad 0x6c2fcb99c63c2a94 + .quad 0xba4190e2c3c7e084 + .quad 0x0e545daea51874d9 + .quad 0x957b8b8b0df53c30 + .quad 0x2a1c770a8e60f098 + .quad 0xbbc7a670345796de + .quad 0x22a48f9a90c99bc9 + .quad 0x6b7dc0dc8d3fac58 + .quad 0x5497cd6ce6e42bfd + .quad 0x542f7d1bf400d305 + .quad 0x4159f47f048d9136 + + // 2^164 * 2 * B + + .quad 0x20ad660839e31e32 + .quad 0xf81e1bd58405be50 + .quad 0xf8064056f4dabc69 + .quad 0x14d23dd4ce71b975 + .quad 0x748515a8bbd24839 + .quad 0x77128347afb02b55 + .quad 0x50ba2ac649a2a17f + .quad 0x060525513ad730f1 + .quad 0xf2398e098aa27f82 + .quad 0x6d7982bb89a1b024 + .quad 0xfa694084214dd24c + .quad 0x71ab966fa32301c3 + + // 2^164 * 3 * B + + .quad 0x2dcbd8e34ded02fc + .quad 0x1151f3ec596f22aa + .quad 0xbca255434e0328da + .quad 0x35768fbe92411b22 + .quad 0xb1088a0702809955 + .quad 0x43b273ea0b43c391 + .quad 0xca9b67aefe0686ed + .quad 0x605eecbf8335f4ed + .quad 0x83200a656c340431 + .quad 0x9fcd71678ee59c2f + .quad 0x75d4613f71300f8a + .quad 0x7a912faf60f542f9 + + // 2^164 * 4 * B + + .quad 0xb204585e5edc1a43 + .quad 0x9f0e16ee5897c73c + .quad 0x5b82c0ae4e70483c + .quad 0x624a170e2bddf9be + .quad 0x253f4f8dfa2d5597 + .quad 0x25e49c405477130c + .quad 0x00c052e5996b1102 + .quad 0x33cb966e33bb6c4a + .quad 0x597028047f116909 + .quad 0x828ac41c1e564467 + .quad 0x70417dbde6217387 + .quad 0x721627aefbac4384 + + // 2^164 * 5 * B + + .quad 0x97d03bc38736add5 + .quad 0x2f1422afc532b130 + .quad 0x3aa68a057101bbc4 + .quad 0x4c946cf7e74f9fa7 + .quad 0xfd3097bc410b2f22 + .quad 0xf1a05da7b5cfa844 + .quad 0x61289a1def57ca74 + .quad 0x245ea199bb821902 + .quad 0xaedca66978d477f8 + .quad 0x1898ba3c29117fe1 + .quad 0xcf73f983720cbd58 + .quad 0x67da12e6b8b56351 + + // 2^164 * 6 * B + + .quad 0x7067e187b4bd6e07 + .quad 0x6e8f0203c7d1fe74 + .quad 0x93c6aa2f38c85a30 + .quad 0x76297d1f3d75a78a + .quad 0x2b7ef3d38ec8308c + .quad 0x828fd7ec71eb94ab + .quad 0x807c3b36c5062abd + .quad 0x0cb64cb831a94141 + .quad 0x3030fc33534c6378 + .quad 0xb9635c5ce541e861 + .quad 0x15d9a9bed9b2c728 + .quad 0x49233ea3f3775dcb + + // 2^164 * 7 * B + + .quad 0x629398fa8dbffc3a + .quad 0xe12fe52dd54db455 + .quad 0xf3be11dfdaf25295 + .quad 0x628b140dce5e7b51 + .quad 0x7b3985fe1c9f249b + .quad 0x4fd6b2d5a1233293 + .quad 0xceb345941adf4d62 + .quad 0x6987ff6f542de50c + .quad 0x47e241428f83753c + .quad 0x6317bebc866af997 + .quad 0xdabb5b433d1a9829 + .quad 0x074d8d245287fb2d + + // 2^164 * 8 * B + + .quad 0x8337d9cd440bfc31 + .quad 0x729d2ca1af318fd7 + .quad 0xa040a4a4772c2070 + .quad 0x46002ef03a7349be + .quad 0x481875c6c0e31488 + .quad 0x219429b2e22034b4 + .quad 0x7223c98a31283b65 + .quad 0x3420d60b342277f9 + .quad 0xfaa23adeaffe65f7 + .quad 0x78261ed45be0764c + .quad 0x441c0a1e2f164403 + .quad 0x5aea8e567a87d395 + + // 2^168 * 1 * B + + .quad 0x7813c1a2bca4283d + .quad 0xed62f091a1863dd9 + .quad 0xaec7bcb8c268fa86 + .quad 0x10e5d3b76f1cae4c + .quad 0x2dbc6fb6e4e0f177 + .quad 0x04e1bf29a4bd6a93 + .quad 0x5e1966d4787af6e8 + .quad 0x0edc5f5eb426d060 + .quad 0x5453bfd653da8e67 + .quad 0xe9dc1eec24a9f641 + .quad 0xbf87263b03578a23 + .quad 0x45b46c51361cba72 + + // 2^168 * 2 * B + + .quad 0xa9402abf314f7fa1 + .quad 0xe257f1dc8e8cf450 + .quad 0x1dbbd54b23a8be84 + .quad 0x2177bfa36dcb713b + .quad 0xce9d4ddd8a7fe3e4 + .quad 0xab13645676620e30 + .quad 0x4b594f7bb30e9958 + .quad 0x5c1c0aef321229df + .quad 0x37081bbcfa79db8f + .quad 0x6048811ec25f59b3 + .quad 0x087a76659c832487 + .quad 0x4ae619387d8ab5bb + + // 2^168 * 3 * B + + .quad 0x8ddbf6aa5344a32e + .quad 0x7d88eab4b41b4078 + .quad 0x5eb0eb974a130d60 + .quad 0x1a00d91b17bf3e03 + .quad 0x61117e44985bfb83 + .quad 0xfce0462a71963136 + .quad 0x83ac3448d425904b + .quad 0x75685abe5ba43d64 + .quad 0x6e960933eb61f2b2 + .quad 0x543d0fa8c9ff4952 + .quad 0xdf7275107af66569 + .quad 0x135529b623b0e6aa + + // 2^168 * 4 * B + + .quad 0x18f0dbd7add1d518 + .quad 0x979f7888cfc11f11 + .quad 0x8732e1f07114759b + .quad 0x79b5b81a65ca3a01 + .quad 0xf5c716bce22e83fe + .quad 0xb42beb19e80985c1 + .quad 0xec9da63714254aae + .quad 0x5972ea051590a613 + .quad 0x0fd4ac20dc8f7811 + .quad 0x9a9ad294ac4d4fa8 + .quad 0xc01b2d64b3360434 + .quad 0x4f7e9c95905f3bdb + + // 2^168 * 5 * B + + .quad 0x62674bbc5781302e + .quad 0xd8520f3989addc0f + .quad 0x8c2999ae53fbd9c6 + .quad 0x31993ad92e638e4c + .quad 0x71c8443d355299fe + .quad 0x8bcd3b1cdbebead7 + .quad 0x8092499ef1a49466 + .quad 0x1942eec4a144adc8 + .quad 0x7dac5319ae234992 + .quad 0x2c1b3d910cea3e92 + .quad 0x553ce494253c1122 + .quad 0x2a0a65314ef9ca75 + + // 2^168 * 6 * B + + .quad 0x2db7937ff7f927c2 + .quad 0xdb741f0617d0a635 + .quad 0x5982f3a21155af76 + .quad 0x4cf6e218647c2ded + .quad 0xcf361acd3c1c793a + .quad 0x2f9ebcac5a35bc3b + .quad 0x60e860e9a8cda6ab + .quad 0x055dc39b6dea1a13 + .quad 0xb119227cc28d5bb6 + .quad 0x07e24ebc774dffab + .quad 0xa83c78cee4a32c89 + .quad 0x121a307710aa24b6 + + // 2^168 * 7 * B + + .quad 0xe4db5d5e9f034a97 + .quad 0xe153fc093034bc2d + .quad 0x460546919551d3b1 + .quad 0x333fc76c7a40e52d + .quad 0xd659713ec77483c9 + .quad 0x88bfe077b82b96af + .quad 0x289e28231097bcd3 + .quad 0x527bb94a6ced3a9b + .quad 0x563d992a995b482e + .quad 0x3405d07c6e383801 + .quad 0x485035de2f64d8e5 + .quad 0x6b89069b20a7a9f7 + + // 2^168 * 8 * B + + .quad 0x812aa0416270220d + .quad 0x995a89faf9245b4e + .quad 0xffadc4ce5072ef05 + .quad 0x23bc2103aa73eb73 + .quad 0x4082fa8cb5c7db77 + .quad 0x068686f8c734c155 + .quad 0x29e6c8d9f6e7a57e + .quad 0x0473d308a7639bcf + .quad 0xcaee792603589e05 + .quad 0x2b4b421246dcc492 + .quad 0x02a1ef74e601a94f + .quad 0x102f73bfde04341a + + // 2^172 * 1 * B + + .quad 0xb5a2d50c7ec20d3e + .quad 0xc64bdd6ea0c97263 + .quad 0x56e89052c1ff734d + .quad 0x4929c6f72b2ffaba + .quad 0x358ecba293a36247 + .quad 0xaf8f9862b268fd65 + .quad 0x412f7e9968a01c89 + .quad 0x5786f312cd754524 + .quad 0x337788ffca14032c + .quad 0xf3921028447f1ee3 + .quad 0x8b14071f231bccad + .quad 0x4c817b4bf2344783 + + // 2^172 * 2 * B + + .quad 0x0ff853852871b96e + .quad 0xe13e9fab60c3f1bb + .quad 0xeefd595325344402 + .quad 0x0a37c37075b7744b + .quad 0x413ba057a40b4484 + .quad 0xba4c2e1a4f5f6a43 + .quad 0x614ba0a5aee1d61c + .quad 0x78a1531a8b05dc53 + .quad 0x6cbdf1703ad0562b + .quad 0x8ecf4830c92521a3 + .quad 0xdaebd303fd8424e7 + .quad 0x72ad82a42e5ec56f + + // 2^172 * 3 * B + + .quad 0x3f9e8e35bafb65f6 + .quad 0x39d69ec8f27293a1 + .quad 0x6cb8cd958cf6a3d0 + .quad 0x1734778173adae6d + .quad 0xc368939167024bc3 + .quad 0x8e69d16d49502fda + .quad 0xfcf2ec3ce45f4b29 + .quad 0x065f669ea3b4cbc4 + .quad 0x8a00aec75532db4d + .quad 0xb869a4e443e31bb1 + .quad 0x4a0f8552d3a7f515 + .quad 0x19adeb7c303d7c08 + + // 2^172 * 4 * B + + .quad 0xc720cb6153ead9a3 + .quad 0x55b2c97f512b636e + .quad 0xb1e35b5fd40290b1 + .quad 0x2fd9ccf13b530ee2 + .quad 0x9d05ba7d43c31794 + .quad 0x2470c8ff93322526 + .quad 0x8323dec816197438 + .quad 0x2852709881569b53 + .quad 0x07bd475b47f796b8 + .quad 0xd2c7b013542c8f54 + .quad 0x2dbd23f43b24f87e + .quad 0x6551afd77b0901d6 + + // 2^172 * 5 * B + + .quad 0x4546baaf54aac27f + .quad 0xf6f66fecb2a45a28 + .quad 0x582d1b5b562bcfe8 + .quad 0x44b123f3920f785f + .quad 0x68a24ce3a1d5c9ac + .quad 0xbb77a33d10ff6461 + .quad 0x0f86ce4425d3166e + .quad 0x56507c0950b9623b + .quad 0x1206f0b7d1713e63 + .quad 0x353fe3d915bafc74 + .quad 0x194ceb970ad9d94d + .quad 0x62fadd7cf9d03ad3 + + // 2^172 * 6 * B + + .quad 0xc6b5967b5598a074 + .quad 0x5efe91ce8e493e25 + .quad 0xd4b72c4549280888 + .quad 0x20ef1149a26740c2 + .quad 0x3cd7bc61e7ce4594 + .quad 0xcd6b35a9b7dd267e + .quad 0xa080abc84366ef27 + .quad 0x6ec7c46f59c79711 + .quad 0x2f07ad636f09a8a2 + .quad 0x8697e6ce24205e7d + .quad 0xc0aefc05ee35a139 + .quad 0x15e80958b5f9d897 + + // 2^172 * 7 * B + + .quad 0x25a5ef7d0c3e235b + .quad 0x6c39c17fbe134ee7 + .quad 0xc774e1342dc5c327 + .quad 0x021354b892021f39 + .quad 0x4dd1ed355bb061c4 + .quad 0x42dc0cef941c0700 + .quad 0x61305dc1fd86340e + .quad 0x56b2cc930e55a443 + .quad 0x1df79da6a6bfc5a2 + .quad 0x02f3a2749fde4369 + .quad 0xb323d9f2cda390a7 + .quad 0x7be0847b8774d363 + + // 2^172 * 8 * B + + .quad 0x8c99cc5a8b3f55c3 + .quad 0x0611d7253fded2a0 + .quad 0xed2995ff36b70a36 + .quad 0x1f699a54d78a2619 + .quad 0x1466f5af5307fa11 + .quad 0x817fcc7ded6c0af2 + .quad 0x0a6de44ec3a4a3fb + .quad 0x74071475bc927d0b + .quad 0xe77292f373e7ea8a + .quad 0x296537d2cb045a31 + .quad 0x1bd0653ed3274fde + .quad 0x2f9a2c4476bd2966 + + // 2^176 * 1 * B + + .quad 0xeb18b9ab7f5745c6 + .quad 0x023a8aee5787c690 + .quad 0xb72712da2df7afa9 + .quad 0x36597d25ea5c013d + .quad 0xa2b4dae0b5511c9a + .quad 0x7ac860292bffff06 + .quad 0x981f375df5504234 + .quad 0x3f6bd725da4ea12d + .quad 0x734d8d7b106058ac + .quad 0xd940579e6fc6905f + .quad 0x6466f8f99202932d + .quad 0x7b7ecc19da60d6d0 + + // 2^176 * 2 * B + + .quad 0x78c2373c695c690d + .quad 0xdd252e660642906e + .quad 0x951d44444ae12bd2 + .quad 0x4235ad7601743956 + .quad 0x6dae4a51a77cfa9b + .quad 0x82263654e7a38650 + .quad 0x09bbffcd8f2d82db + .quad 0x03bedc661bf5caba + .quad 0x6258cb0d078975f5 + .quad 0x492942549189f298 + .quad 0xa0cab423e2e36ee4 + .quad 0x0e7ce2b0cdf066a1 + + // 2^176 * 3 * B + + .quad 0xc494643ac48c85a3 + .quad 0xfd361df43c6139ad + .quad 0x09db17dd3ae94d48 + .quad 0x666e0a5d8fb4674a + .quad 0xfea6fedfd94b70f9 + .quad 0xf130c051c1fcba2d + .quad 0x4882d47e7f2fab89 + .quad 0x615256138aeceeb5 + .quad 0x2abbf64e4870cb0d + .quad 0xcd65bcf0aa458b6b + .quad 0x9abe4eba75e8985d + .quad 0x7f0bc810d514dee4 + + // 2^176 * 4 * B + + .quad 0xb9006ba426f4136f + .quad 0x8d67369e57e03035 + .quad 0xcbc8dfd94f463c28 + .quad 0x0d1f8dbcf8eedbf5 + .quad 0x83ac9dad737213a0 + .quad 0x9ff6f8ba2ef72e98 + .quad 0x311e2edd43ec6957 + .quad 0x1d3a907ddec5ab75 + .quad 0xba1693313ed081dc + .quad 0x29329fad851b3480 + .quad 0x0128013c030321cb + .quad 0x00011b44a31bfde3 + + // 2^176 * 5 * B + + .quad 0x3fdfa06c3fc66c0c + .quad 0x5d40e38e4dd60dd2 + .quad 0x7ae38b38268e4d71 + .quad 0x3ac48d916e8357e1 + .quad 0x16561f696a0aa75c + .quad 0xc1bf725c5852bd6a + .quad 0x11a8dd7f9a7966ad + .quad 0x63d988a2d2851026 + .quad 0x00120753afbd232e + .quad 0xe92bceb8fdd8f683 + .quad 0xf81669b384e72b91 + .quad 0x33fad52b2368a066 + + // 2^176 * 6 * B + + .quad 0x540649c6c5e41e16 + .quad 0x0af86430333f7735 + .quad 0xb2acfcd2f305e746 + .quad 0x16c0f429a256dca7 + .quad 0x8d2cc8d0c422cfe8 + .quad 0x072b4f7b05a13acb + .quad 0xa3feb6e6ecf6a56f + .quad 0x3cc355ccb90a71e2 + .quad 0xe9b69443903e9131 + .quad 0xb8a494cb7a5637ce + .quad 0xc87cd1a4baba9244 + .quad 0x631eaf426bae7568 + + // 2^176 * 7 * B + + .quad 0xb3e90410da66fe9f + .quad 0x85dd4b526c16e5a6 + .quad 0xbc3d97611ef9bf83 + .quad 0x5599648b1ea919b5 + .quad 0x47d975b9a3700de8 + .quad 0x7280c5fbe2f80552 + .quad 0x53658f2732e45de1 + .quad 0x431f2c7f665f80b5 + .quad 0xd6026344858f7b19 + .quad 0x14ab352fa1ea514a + .quad 0x8900441a2090a9d7 + .quad 0x7b04715f91253b26 + + // 2^176 * 8 * B + + .quad 0x83edbd28acf6ae43 + .quad 0x86357c8b7d5c7ab4 + .quad 0xc0404769b7eb2c44 + .quad 0x59b37bf5c2f6583f + .quad 0xb376c280c4e6bac6 + .quad 0x970ed3dd6d1d9b0b + .quad 0xb09a9558450bf944 + .quad 0x48d0acfa57cde223 + .quad 0xb60f26e47dabe671 + .quad 0xf1d1a197622f3a37 + .quad 0x4208ce7ee9960394 + .quad 0x16234191336d3bdb + + // 2^180 * 1 * B + + .quad 0xf19aeac733a63aef + .quad 0x2c7fba5d4442454e + .quad 0x5da87aa04795e441 + .quad 0x413051e1a4e0b0f5 + .quad 0x852dd1fd3d578bbe + .quad 0x2b65ce72c3286108 + .quad 0x658c07f4eace2273 + .quad 0x0933f804ec38ab40 + .quad 0xa7ab69798d496476 + .quad 0x8121aadefcb5abc8 + .quad 0xa5dc12ef7b539472 + .quad 0x07fd47065e45351a + + // 2^180 * 2 * B + + .quad 0xc8583c3d258d2bcd + .quad 0x17029a4daf60b73f + .quad 0xfa0fc9d6416a3781 + .quad 0x1c1e5fba38b3fb23 + .quad 0x304211559ae8e7c3 + .quad 0xf281b229944882a5 + .quad 0x8a13ac2e378250e4 + .quad 0x014afa0954ba48f4 + .quad 0xcb3197001bb3666c + .quad 0x330060524bffecb9 + .quad 0x293711991a88233c + .quad 0x291884363d4ed364 + + // 2^180 * 3 * B + + .quad 0x033c6805dc4babfa + .quad 0x2c15bf5e5596ecc1 + .quad 0x1bc70624b59b1d3b + .quad 0x3ede9850a19f0ec5 + .quad 0xfb9d37c3bc1ab6eb + .quad 0x02be14534d57a240 + .quad 0xf4d73415f8a5e1f6 + .quad 0x5964f4300ccc8188 + .quad 0xe44a23152d096800 + .quad 0x5c08c55970866996 + .quad 0xdf2db60a46affb6e + .quad 0x579155c1f856fd89 + + // 2^180 * 4 * B + + .quad 0x96324edd12e0c9ef + .quad 0x468b878df2420297 + .quad 0x199a3776a4f573be + .quad 0x1e7fbcf18e91e92a + .quad 0xb5f16b630817e7a6 + .quad 0x808c69233c351026 + .quad 0x324a983b54cef201 + .quad 0x53c092084a485345 + .quad 0xd2d41481f1cbafbf + .quad 0x231d2db6716174e5 + .quad 0x0b7d7656e2a55c98 + .quad 0x3e955cd82aa495f6 + + // 2^180 * 5 * B + + .quad 0xe48f535e3ed15433 + .quad 0xd075692a0d7270a3 + .quad 0x40fbd21daade6387 + .quad 0x14264887cf4495f5 + .quad 0xab39f3ef61bb3a3f + .quad 0x8eb400652eb9193e + .quad 0xb5de6ecc38c11f74 + .quad 0x654d7e9626f3c49f + .quad 0xe564cfdd5c7d2ceb + .quad 0x82eeafded737ccb9 + .quad 0x6107db62d1f9b0ab + .quad 0x0b6baac3b4358dbb + + // 2^180 * 6 * B + + .quad 0x7ae62bcb8622fe98 + .quad 0x47762256ceb891af + .quad 0x1a5a92bcf2e406b4 + .quad 0x7d29401784e41501 + .quad 0x204abad63700a93b + .quad 0xbe0023d3da779373 + .quad 0xd85f0346633ab709 + .quad 0x00496dc490820412 + .quad 0x1c74b88dc27e6360 + .quad 0x074854268d14850c + .quad 0xa145fb7b3e0dcb30 + .quad 0x10843f1b43803b23 + + // 2^180 * 7 * B + + .quad 0xc5f90455376276dd + .quad 0xce59158dd7645cd9 + .quad 0x92f65d511d366b39 + .quad 0x11574b6e526996c4 + .quad 0xd56f672de324689b + .quad 0xd1da8aedb394a981 + .quad 0xdd7b58fe9168cfed + .quad 0x7ce246cd4d56c1e8 + .quad 0xb8f4308e7f80be53 + .quad 0x5f3cb8cb34a9d397 + .quad 0x18a961bd33cc2b2c + .quad 0x710045fb3a9af671 + + // 2^180 * 8 * B + + .quad 0x73f93d36101b95eb + .quad 0xfaef33794f6f4486 + .quad 0x5651735f8f15e562 + .quad 0x7fa3f19058b40da1 + .quad 0xa03fc862059d699e + .quad 0x2370cfa19a619e69 + .quad 0xc4fe3b122f823deb + .quad 0x1d1b056fa7f0844e + .quad 0x1bc64631e56bf61f + .quad 0xd379ab106e5382a3 + .quad 0x4d58c57e0540168d + .quad 0x566256628442d8e4 + + // 2^184 * 1 * B + + .quad 0xb9e499def6267ff6 + .quad 0x7772ca7b742c0843 + .quad 0x23a0153fe9a4f2b1 + .quad 0x2cdfdfecd5d05006 + .quad 0xdd499cd61ff38640 + .quad 0x29cd9bc3063625a0 + .quad 0x51e2d8023dd73dc3 + .quad 0x4a25707a203b9231 + .quad 0x2ab7668a53f6ed6a + .quad 0x304242581dd170a1 + .quad 0x4000144c3ae20161 + .quad 0x5721896d248e49fc + + // 2^184 * 2 * B + + .quad 0x0b6e5517fd181bae + .quad 0x9022629f2bb963b4 + .quad 0x5509bce932064625 + .quad 0x578edd74f63c13da + .quad 0x285d5091a1d0da4e + .quad 0x4baa6fa7b5fe3e08 + .quad 0x63e5177ce19393b3 + .quad 0x03c935afc4b030fd + .quad 0x997276c6492b0c3d + .quad 0x47ccc2c4dfe205fc + .quad 0xdcd29b84dd623a3c + .quad 0x3ec2ab590288c7a2 + + // 2^184 * 3 * B + + .quad 0xa1a0d27be4d87bb9 + .quad 0xa98b4deb61391aed + .quad 0x99a0ddd073cb9b83 + .quad 0x2dd5c25a200fcace + .quad 0xa7213a09ae32d1cb + .quad 0x0f2b87df40f5c2d5 + .quad 0x0baea4c6e81eab29 + .quad 0x0e1bf66c6adbac5e + .quad 0xe2abd5e9792c887e + .quad 0x1a020018cb926d5d + .quad 0xbfba69cdbaae5f1e + .quad 0x730548b35ae88f5f + + // 2^184 * 4 * B + + .quad 0xc43551a3cba8b8ee + .quad 0x65a26f1db2115f16 + .quad 0x760f4f52ab8c3850 + .quad 0x3043443b411db8ca + .quad 0x805b094ba1d6e334 + .quad 0xbf3ef17709353f19 + .quad 0x423f06cb0622702b + .quad 0x585a2277d87845dd + .quad 0xa18a5f8233d48962 + .quad 0x6698c4b5ec78257f + .quad 0xa78e6fa5373e41ff + .quad 0x7656278950ef981f + + // 2^184 * 5 * B + + .quad 0x38c3cf59d51fc8c0 + .quad 0x9bedd2fd0506b6f2 + .quad 0x26bf109fab570e8f + .quad 0x3f4160a8c1b846a6 + .quad 0xe17073a3ea86cf9d + .quad 0x3a8cfbb707155fdc + .quad 0x4853e7fc31838a8e + .quad 0x28bbf484b613f616 + .quad 0xf2612f5c6f136c7c + .quad 0xafead107f6dd11be + .quad 0x527e9ad213de6f33 + .quad 0x1e79cb358188f75d + + // 2^184 * 6 * B + + .quad 0x013436c3eef7e3f1 + .quad 0x828b6a7ffe9e10f8 + .quad 0x7ff908e5bcf9defc + .quad 0x65d7951b3a3b3831 + .quad 0x77e953d8f5e08181 + .quad 0x84a50c44299dded9 + .quad 0xdc6c2d0c864525e5 + .quad 0x478ab52d39d1f2f4 + .quad 0x66a6a4d39252d159 + .quad 0xe5dde1bc871ac807 + .quad 0xb82c6b40a6c1c96f + .quad 0x16d87a411a212214 + + // 2^184 * 7 * B + + .quad 0xb3bd7e5a42066215 + .quad 0x879be3cd0c5a24c1 + .quad 0x57c05db1d6f994b7 + .quad 0x28f87c8165f38ca6 + .quad 0xfba4d5e2d54e0583 + .quad 0xe21fafd72ebd99fa + .quad 0x497ac2736ee9778f + .quad 0x1f990b577a5a6dde + .quad 0xa3344ead1be8f7d6 + .quad 0x7d1e50ebacea798f + .quad 0x77c6569e520de052 + .quad 0x45882fe1534d6d3e + + // 2^184 * 8 * B + + .quad 0x6669345d757983d6 + .quad 0x62b6ed1117aa11a6 + .quad 0x7ddd1857985e128f + .quad 0x688fe5b8f626f6dd + .quad 0xd8ac9929943c6fe4 + .quad 0xb5f9f161a38392a2 + .quad 0x2699db13bec89af3 + .quad 0x7dcf843ce405f074 + .quad 0x6c90d6484a4732c0 + .quad 0xd52143fdca563299 + .quad 0xb3be28c3915dc6e1 + .quad 0x6739687e7327191b + + // 2^188 * 1 * B + + .quad 0x9f65c5ea200814cf + .quad 0x840536e169a31740 + .quad 0x8b0ed13925c8b4ad + .quad 0x0080dbafe936361d + .quad 0x8ce5aad0c9cb971f + .quad 0x1156aaa99fd54a29 + .quad 0x41f7247015af9b78 + .quad 0x1fe8cca8420f49aa + .quad 0x72a1848f3c0cc82a + .quad 0x38c560c2877c9e54 + .quad 0x5004e228ce554140 + .quad 0x042418a103429d71 + + // 2^188 * 2 * B + + .quad 0x899dea51abf3ff5f + .quad 0x9b93a8672fc2d8ba + .quad 0x2c38cb97be6ebd5c + .quad 0x114d578497263b5d + .quad 0x58e84c6f20816247 + .quad 0x8db2b2b6e36fd793 + .quad 0x977182561d484d85 + .quad 0x0822024f8632abd7 + .quad 0xb301bb7c6b1beca3 + .quad 0x55393f6dc6eb1375 + .quad 0x910d281097b6e4eb + .quad 0x1ad4548d9d479ea3 + + // 2^188 * 3 * B + + .quad 0xcd5a7da0389a48fd + .quad 0xb38fa4aa9a78371e + .quad 0xc6d9761b2cdb8e6c + .quad 0x35cf51dbc97e1443 + .quad 0xa06fe66d0fe9fed3 + .quad 0xa8733a401c587909 + .quad 0x30d14d800df98953 + .quad 0x41ce5876c7b30258 + .quad 0x59ac3bc5d670c022 + .quad 0xeae67c109b119406 + .quad 0x9798bdf0b3782fda + .quad 0x651e3201fd074092 + + // 2^188 * 4 * B + + .quad 0xd63d8483ef30c5cf + .quad 0x4cd4b4962361cc0c + .quad 0xee90e500a48426ac + .quad 0x0af51d7d18c14eeb + .quad 0xa57ba4a01efcae9e + .quad 0x769f4beedc308a94 + .quad 0xd1f10eeb3603cb2e + .quad 0x4099ce5e7e441278 + .quad 0x1ac98e4f8a5121e9 + .quad 0x7dae9544dbfa2fe0 + .quad 0x8320aa0dd6430df9 + .quad 0x667282652c4a2fb5 + + // 2^188 * 5 * B + + .quad 0x874621f4d86bc9ab + .quad 0xb54c7bbe56fe6fea + .quad 0x077a24257fadc22c + .quad 0x1ab53be419b90d39 + .quad 0xada8b6e02946db23 + .quad 0x1c0ce51a7b253ab7 + .quad 0x8448c85a66dd485b + .quad 0x7f1fc025d0675adf + .quad 0xd8ee1b18319ea6aa + .quad 0x004d88083a21f0da + .quad 0x3bd6aa1d883a4f4b + .quad 0x4db9a3a6dfd9fd14 + + // 2^188 * 6 * B + + .quad 0x8ce7b23bb99c0755 + .quad 0x35c5d6edc4f50f7a + .quad 0x7e1e2ed2ed9b50c3 + .quad 0x36305f16e8934da1 + .quad 0xd95b00bbcbb77c68 + .quad 0xddbc846a91f17849 + .quad 0x7cf700aebe28d9b3 + .quad 0x5ce1285c85d31f3e + .quad 0x31b6972d98b0bde8 + .quad 0x7d920706aca6de5b + .quad 0xe67310f8908a659f + .quad 0x50fac2a6efdf0235 + + // 2^188 * 7 * B + + .quad 0xf3d3a9f35b880f5a + .quad 0xedec050cdb03e7c2 + .quad 0xa896981ff9f0b1a2 + .quad 0x49a4ae2bac5e34a4 + .quad 0x295b1c86f6f449bc + .quad 0x51b2e84a1f0ab4dd + .quad 0xc001cb30aa8e551d + .quad 0x6a28d35944f43662 + .quad 0x28bb12ee04a740e0 + .quad 0x14313bbd9bce8174 + .quad 0x72f5b5e4e8c10c40 + .quad 0x7cbfb19936adcd5b + + // 2^188 * 8 * B + + .quad 0xa311ddc26b89792d + .quad 0x1b30b4c6da512664 + .quad 0x0ca77b4ccf150859 + .quad 0x1de443df1b009408 + .quad 0x8e793a7acc36e6e0 + .quad 0xf9fab7a37d586eed + .quad 0x3a4f9692bae1f4e4 + .quad 0x1c14b03eff5f447e + .quad 0x19647bd114a85291 + .quad 0x57b76cb21034d3af + .quad 0x6329db440f9d6dfa + .quad 0x5ef43e586a571493 + + // 2^192 * 1 * B + + .quad 0xef782014385675a6 + .quad 0xa2649f30aafda9e8 + .quad 0x4cd1eb505cdfa8cb + .quad 0x46115aba1d4dc0b3 + .quad 0xa66dcc9dc80c1ac0 + .quad 0x97a05cf41b38a436 + .quad 0xa7ebf3be95dbd7c6 + .quad 0x7da0b8f68d7e7dab + .quad 0xd40f1953c3b5da76 + .quad 0x1dac6f7321119e9b + .quad 0x03cc6021feb25960 + .quad 0x5a5f887e83674b4b + + // 2^192 * 2 * B + + .quad 0x8f6301cf70a13d11 + .quad 0xcfceb815350dd0c4 + .quad 0xf70297d4a4bca47e + .quad 0x3669b656e44d1434 + .quad 0x9e9628d3a0a643b9 + .quad 0xb5c3cb00e6c32064 + .quad 0x9b5302897c2dec32 + .quad 0x43e37ae2d5d1c70c + .quad 0x387e3f06eda6e133 + .quad 0x67301d5199a13ac0 + .quad 0xbd5ad8f836263811 + .quad 0x6a21e6cd4fd5e9be + + // 2^192 * 3 * B + + .quad 0xf1c6170a3046e65f + .quad 0x58712a2a00d23524 + .quad 0x69dbbd3c8c82b755 + .quad 0x586bf9f1a195ff57 + .quad 0xef4129126699b2e3 + .quad 0x71d30847708d1301 + .quad 0x325432d01182b0bd + .quad 0x45371b07001e8b36 + .quad 0xa6db088d5ef8790b + .quad 0x5278f0dc610937e5 + .quad 0xac0349d261a16eb8 + .quad 0x0eafb03790e52179 + + // 2^192 * 4 * B + + .quad 0x960555c13748042f + .quad 0x219a41e6820baa11 + .quad 0x1c81f73873486d0c + .quad 0x309acc675a02c661 + .quad 0x5140805e0f75ae1d + .quad 0xec02fbe32662cc30 + .quad 0x2cebdf1eea92396d + .quad 0x44ae3344c5435bb3 + .quad 0x9cf289b9bba543ee + .quad 0xf3760e9d5ac97142 + .quad 0x1d82e5c64f9360aa + .quad 0x62d5221b7f94678f + + // 2^192 * 5 * B + + .quad 0x524c299c18d0936d + .quad 0xc86bb56c8a0c1a0c + .quad 0xa375052edb4a8631 + .quad 0x5c0efde4bc754562 + .quad 0x7585d4263af77a3c + .quad 0xdfae7b11fee9144d + .quad 0xa506708059f7193d + .quad 0x14f29a5383922037 + .quad 0xdf717edc25b2d7f5 + .quad 0x21f970db99b53040 + .quad 0xda9234b7c3ed4c62 + .quad 0x5e72365c7bee093e + + // 2^192 * 6 * B + + .quad 0x575bfc074571217f + .quad 0x3779675d0694d95b + .quad 0x9a0a37bbf4191e33 + .quad 0x77f1104c47b4eabc + .quad 0x7d9339062f08b33e + .quad 0x5b9659e5df9f32be + .quad 0xacff3dad1f9ebdfd + .quad 0x70b20555cb7349b7 + .quad 0xbe5113c555112c4c + .quad 0x6688423a9a881fcd + .quad 0x446677855e503b47 + .quad 0x0e34398f4a06404a + + // 2^192 * 7 * B + + .quad 0xb67d22d93ecebde8 + .quad 0x09b3e84127822f07 + .quad 0x743fa61fb05b6d8d + .quad 0x5e5405368a362372 + .quad 0x18930b093e4b1928 + .quad 0x7de3e10e73f3f640 + .quad 0xf43217da73395d6f + .quad 0x6f8aded6ca379c3e + .quad 0xe340123dfdb7b29a + .quad 0x487b97e1a21ab291 + .quad 0xf9967d02fde6949e + .quad 0x780de72ec8d3de97 + + // 2^192 * 8 * B + + .quad 0x0ae28545089ae7bc + .quad 0x388ddecf1c7f4d06 + .quad 0x38ac15510a4811b8 + .quad 0x0eb28bf671928ce4 + .quad 0x671feaf300f42772 + .quad 0x8f72eb2a2a8c41aa + .quad 0x29a17fd797373292 + .quad 0x1defc6ad32b587a6 + .quad 0xaf5bbe1aef5195a7 + .quad 0x148c1277917b15ed + .quad 0x2991f7fb7ae5da2e + .quad 0x467d201bf8dd2867 + + // 2^196 * 1 * B + + .quad 0x7906ee72f7bd2e6b + .quad 0x05d270d6109abf4e + .quad 0x8d5cfe45b941a8a4 + .quad 0x44c218671c974287 + .quad 0x745f9d56296bc318 + .quad 0x993580d4d8152e65 + .quad 0xb0e5b13f5839e9ce + .quad 0x51fc2b28d43921c0 + .quad 0x1b8fd11795e2a98c + .quad 0x1c4e5ee12b6b6291 + .quad 0x5b30e7107424b572 + .quad 0x6e6b9de84c4f4ac6 + + // 2^196 * 2 * B + + .quad 0xdff25fce4b1de151 + .quad 0xd841c0c7e11c4025 + .quad 0x2554b3c854749c87 + .quad 0x2d292459908e0df9 + .quad 0x6b7c5f10f80cb088 + .quad 0x736b54dc56e42151 + .quad 0xc2b620a5c6ef99c4 + .quad 0x5f4c802cc3a06f42 + .quad 0x9b65c8f17d0752da + .quad 0x881ce338c77ee800 + .quad 0xc3b514f05b62f9e3 + .quad 0x66ed5dd5bec10d48 + + // 2^196 * 3 * B + + .quad 0x7d38a1c20bb2089d + .quad 0x808334e196ccd412 + .quad 0xc4a70b8c6c97d313 + .quad 0x2eacf8bc03007f20 + .quad 0xf0adf3c9cbca047d + .quad 0x81c3b2cbf4552f6b + .quad 0xcfda112d44735f93 + .quad 0x1f23a0c77e20048c + .quad 0xf235467be5bc1570 + .quad 0x03d2d9020dbab38c + .quad 0x27529aa2fcf9e09e + .quad 0x0840bef29d34bc50 + + // 2^196 * 4 * B + + .quad 0x796dfb35dc10b287 + .quad 0x27176bcd5c7ff29d + .quad 0x7f3d43e8c7b24905 + .quad 0x0304f5a191c54276 + .quad 0xcd54e06b7f37e4eb + .quad 0x8cc15f87f5e96cca + .quad 0xb8248bb0d3597dce + .quad 0x246affa06074400c + .quad 0x37d88e68fbe45321 + .quad 0x86097548c0d75032 + .quad 0x4e9b13ef894a0d35 + .quad 0x25a83cac5753d325 + + // 2^196 * 5 * B + + .quad 0x10222f48eed8165e + .quad 0x623fc1234b8bcf3a + .quad 0x1e145c09c221e8f0 + .quad 0x7ccfa59fca782630 + .quad 0x9f0f66293952b6e2 + .quad 0x33db5e0e0934267b + .quad 0xff45252bd609fedc + .quad 0x06be10f5c506e0c9 + .quad 0x1a9615a9b62a345f + .quad 0x22050c564a52fecc + .quad 0xa7a2788528bc0dfe + .quad 0x5e82770a1a1ee71d + + // 2^196 * 6 * B + + .quad 0x35425183ad896a5c + .quad 0xe8673afbe78d52f6 + .quad 0x2c66f25f92a35f64 + .quad 0x09d04f3b3b86b102 + .quad 0xe802e80a42339c74 + .quad 0x34175166a7fffae5 + .quad 0x34865d1f1c408cae + .quad 0x2cca982c605bc5ee + .quad 0xfd2d5d35197dbe6e + .quad 0x207c2eea8be4ffa3 + .quad 0x2613d8db325ae918 + .quad 0x7a325d1727741d3e + + // 2^196 * 7 * B + + .quad 0xd036b9bbd16dfde2 + .quad 0xa2055757c497a829 + .quad 0x8e6cc966a7f12667 + .quad 0x4d3b1a791239c180 + .quad 0xecd27d017e2a076a + .quad 0xd788689f1636495e + .quad 0x52a61af0919233e5 + .quad 0x2a479df17bb1ae64 + .quad 0x9e5eee8e33db2710 + .quad 0x189854ded6c43ca5 + .quad 0xa41c22c592718138 + .quad 0x27ad5538a43a5e9b + + // 2^196 * 8 * B + + .quad 0x2746dd4b15350d61 + .quad 0xd03fcbc8ee9521b7 + .quad 0xe86e365a138672ca + .quad 0x510e987f7e7d89e2 + .quad 0xcb5a7d638e47077c + .quad 0x8db7536120a1c059 + .quad 0x549e1e4d8bedfdcc + .quad 0x080153b7503b179d + .quad 0xdda69d930a3ed3e3 + .quad 0x3d386ef1cd60a722 + .quad 0xc817ad58bdaa4ee6 + .quad 0x23be8d554fe7372a + + // 2^200 * 1 * B + + .quad 0x95fe919a74ef4fad + .quad 0x3a827becf6a308a2 + .quad 0x964e01d309a47b01 + .quad 0x71c43c4f5ba3c797 + .quad 0xbc1ef4bd567ae7a9 + .quad 0x3f624cb2d64498bd + .quad 0xe41064d22c1f4ec8 + .quad 0x2ef9c5a5ba384001 + .quad 0xb6fd6df6fa9e74cd + .quad 0xf18278bce4af267a + .quad 0x8255b3d0f1ef990e + .quad 0x5a758ca390c5f293 + + // 2^200 * 2 * B + + .quad 0xa2b72710d9462495 + .quad 0x3aa8c6d2d57d5003 + .quad 0xe3d400bfa0b487ca + .quad 0x2dbae244b3eb72ec + .quad 0x8ce0918b1d61dc94 + .quad 0x8ded36469a813066 + .quad 0xd4e6a829afe8aad3 + .quad 0x0a738027f639d43f + .quad 0x980f4a2f57ffe1cc + .quad 0x00670d0de1839843 + .quad 0x105c3f4a49fb15fd + .quad 0x2698ca635126a69c + + // 2^200 * 3 * B + + .quad 0xe765318832b0ba78 + .quad 0x381831f7925cff8b + .quad 0x08a81b91a0291fcc + .quad 0x1fb43dcc49caeb07 + .quad 0x2e3d702f5e3dd90e + .quad 0x9e3f0918e4d25386 + .quad 0x5e773ef6024da96a + .quad 0x3c004b0c4afa3332 + .quad 0x9aa946ac06f4b82b + .quad 0x1ca284a5a806c4f3 + .quad 0x3ed3265fc6cd4787 + .quad 0x6b43fd01cd1fd217 + + // 2^200 * 4 * B + + .quad 0xc7a75d4b4697c544 + .quad 0x15fdf848df0fffbf + .quad 0x2868b9ebaa46785a + .quad 0x5a68d7105b52f714 + .quad 0xb5c742583e760ef3 + .quad 0x75dc52b9ee0ab990 + .quad 0xbf1427c2072b923f + .quad 0x73420b2d6ff0d9f0 + .quad 0xaf2cf6cb9e851e06 + .quad 0x8f593913c62238c4 + .quad 0xda8ab89699fbf373 + .quad 0x3db5632fea34bc9e + + // 2^200 * 5 * B + + .quad 0xf46eee2bf75dd9d8 + .quad 0x0d17b1f6396759a5 + .quad 0x1bf2d131499e7273 + .quad 0x04321adf49d75f13 + .quad 0x2e4990b1829825d5 + .quad 0xedeaeb873e9a8991 + .quad 0xeef03d394c704af8 + .quad 0x59197ea495df2b0e + .quad 0x04e16019e4e55aae + .quad 0xe77b437a7e2f92e9 + .quad 0xc7ce2dc16f159aa4 + .quad 0x45eafdc1f4d70cc0 + + // 2^200 * 6 * B + + .quad 0x698401858045d72b + .quad 0x4c22faa2cf2f0651 + .quad 0x941a36656b222dc6 + .quad 0x5a5eebc80362dade + .quad 0xb60e4624cfccb1ed + .quad 0x59dbc292bd5c0395 + .quad 0x31a09d1ddc0481c9 + .quad 0x3f73ceea5d56d940 + .quad 0xb7a7bfd10a4e8dc6 + .quad 0xbe57007e44c9b339 + .quad 0x60c1207f1557aefa + .quad 0x26058891266218db + + // 2^200 * 7 * B + + .quad 0x59f704a68360ff04 + .quad 0xc3d93fde7661e6f4 + .quad 0x831b2a7312873551 + .quad 0x54ad0c2e4e615d57 + .quad 0x4c818e3cc676e542 + .quad 0x5e422c9303ceccad + .quad 0xec07cccab4129f08 + .quad 0x0dedfa10b24443b8 + .quad 0xee3b67d5b82b522a + .quad 0x36f163469fa5c1eb + .quad 0xa5b4d2f26ec19fd3 + .quad 0x62ecb2baa77a9408 + + // 2^200 * 8 * B + + .quad 0xe5ed795261152b3d + .quad 0x4962357d0eddd7d1 + .quad 0x7482c8d0b96b4c71 + .quad 0x2e59f919a966d8be + .quad 0x92072836afb62874 + .quad 0x5fcd5e8579e104a5 + .quad 0x5aad01adc630a14a + .quad 0x61913d5075663f98 + .quad 0x0dc62d361a3231da + .quad 0xfa47583294200270 + .quad 0x02d801513f9594ce + .quad 0x3ddbc2a131c05d5c + + // 2^204 * 1 * B + + .quad 0x3f50a50a4ffb81ef + .quad 0xb1e035093bf420bf + .quad 0x9baa8e1cc6aa2cd0 + .quad 0x32239861fa237a40 + .quad 0xfb735ac2004a35d1 + .quad 0x31de0f433a6607c3 + .quad 0x7b8591bfc528d599 + .quad 0x55be9a25f5bb050c + .quad 0x0d005acd33db3dbf + .quad 0x0111b37c80ac35e2 + .quad 0x4892d66c6f88ebeb + .quad 0x770eadb16508fbcd + + // 2^204 * 2 * B + + .quad 0x8451f9e05e4e89dd + .quad 0xc06302ffbc793937 + .quad 0x5d22749556a6495c + .quad 0x09a6755ca05603fb + .quad 0xf1d3b681a05071b9 + .quad 0x2207659a3592ff3a + .quad 0x5f0169297881e40e + .quad 0x16bedd0e86ba374e + .quad 0x5ecccc4f2c2737b5 + .quad 0x43b79e0c2dccb703 + .quad 0x33e008bc4ec43df3 + .quad 0x06c1b840f07566c0 + + // 2^204 * 3 * B + + .quad 0x7688a5c6a388f877 + .quad 0x02a96c14deb2b6ac + .quad 0x64c9f3431b8c2af8 + .quad 0x3628435554a1eed6 + .quad 0x69ee9e7f9b02805c + .quad 0xcbff828a547d1640 + .quad 0x3d93a869b2430968 + .quad 0x46b7b8cd3fe26972 + .quad 0xe9812086fe7eebe0 + .quad 0x4cba6be72f515437 + .quad 0x1d04168b516efae9 + .quad 0x5ea1391043982cb9 + + // 2^204 * 4 * B + + .quad 0x49125c9cf4702ee1 + .quad 0x4520b71f8b25b32d + .quad 0x33193026501fef7e + .quad 0x656d8997c8d2eb2b + .quad 0x6f2b3be4d5d3b002 + .quad 0xafec33d96a09c880 + .quad 0x035f73a4a8bcc4cc + .quad 0x22c5b9284662198b + .quad 0xcb58c8fe433d8939 + .quad 0x89a0cb2e6a8d7e50 + .quad 0x79ca955309fbbe5a + .quad 0x0c626616cd7fc106 + + // 2^204 * 5 * B + + .quad 0x1ffeb80a4879b61f + .quad 0x6396726e4ada21ed + .quad 0x33c7b093368025ba + .quad 0x471aa0c6f3c31788 + .quad 0x8fdfc379fbf454b1 + .quad 0x45a5a970f1a4b771 + .quad 0xac921ef7bad35915 + .quad 0x42d088dca81c2192 + .quad 0x8fda0f37a0165199 + .quad 0x0adadb77c8a0e343 + .quad 0x20fbfdfcc875e820 + .quad 0x1cf2bea80c2206e7 + + // 2^204 * 6 * B + + .quad 0xc2ddf1deb36202ac + .quad 0x92a5fe09d2e27aa5 + .quad 0x7d1648f6fc09f1d3 + .quad 0x74c2cc0513bc4959 + .quad 0x982d6e1a02c0412f + .quad 0x90fa4c83db58e8fe + .quad 0x01c2f5bcdcb18bc0 + .quad 0x686e0c90216abc66 + .quad 0x1fadbadba54395a7 + .quad 0xb41a02a0ae0da66a + .quad 0xbf19f598bba37c07 + .quad 0x6a12b8acde48430d + + // 2^204 * 7 * B + + .quad 0xf8daea1f39d495d9 + .quad 0x592c190e525f1dfc + .quad 0xdb8cbd04c9991d1b + .quad 0x11f7fda3d88f0cb7 + .quad 0x793bdd801aaeeb5f + .quad 0x00a2a0aac1518871 + .quad 0xe8a373a31f2136b4 + .quad 0x48aab888fc91ef19 + .quad 0x041f7e925830f40e + .quad 0x002d6ca979661c06 + .quad 0x86dc9ff92b046a2e + .quad 0x760360928b0493d1 + + // 2^204 * 8 * B + + .quad 0x21bb41c6120cf9c6 + .quad 0xeab2aa12decda59b + .quad 0xc1a72d020aa48b34 + .quad 0x215d4d27e87d3b68 + .quad 0xb43108e5695a0b05 + .quad 0x6cb00ee8ad37a38b + .quad 0x5edad6eea3537381 + .quad 0x3f2602d4b6dc3224 + .quad 0xc8b247b65bcaf19c + .quad 0x49779dc3b1b2c652 + .quad 0x89a180bbd5ece2e2 + .quad 0x13f098a3cec8e039 + + // 2^208 * 1 * B + + .quad 0x9adc0ff9ce5ec54b + .quad 0x039c2a6b8c2f130d + .quad 0x028007c7f0f89515 + .quad 0x78968314ac04b36b + .quad 0xf3aa57a22796bb14 + .quad 0x883abab79b07da21 + .quad 0xe54be21831a0391c + .quad 0x5ee7fb38d83205f9 + .quad 0x538dfdcb41446a8e + .quad 0xa5acfda9434937f9 + .quad 0x46af908d263c8c78 + .quad 0x61d0633c9bca0d09 + + // 2^208 * 2 * B + + .quad 0x63744935ffdb2566 + .quad 0xc5bd6b89780b68bb + .quad 0x6f1b3280553eec03 + .quad 0x6e965fd847aed7f5 + .quad 0xada328bcf8fc73df + .quad 0xee84695da6f037fc + .quad 0x637fb4db38c2a909 + .quad 0x5b23ac2df8067bdc + .quad 0x9ad2b953ee80527b + .quad 0xe88f19aafade6d8d + .quad 0x0e711704150e82cf + .quad 0x79b9bbb9dd95dedc + + // 2^208 * 3 * B + + .quad 0xebb355406a3126c2 + .quad 0xd26383a868c8c393 + .quad 0x6c0c6429e5b97a82 + .quad 0x5065f158c9fd2147 + .quad 0xd1997dae8e9f7374 + .quad 0xa032a2f8cfbb0816 + .quad 0xcd6cba126d445f0a + .quad 0x1ba811460accb834 + .quad 0x708169fb0c429954 + .quad 0xe14600acd76ecf67 + .quad 0x2eaab98a70e645ba + .quad 0x3981f39e58a4faf2 + + // 2^208 * 4 * B + + .quad 0x18fb8a7559230a93 + .quad 0x1d168f6960e6f45d + .quad 0x3a85a94514a93cb5 + .quad 0x38dc083705acd0fd + .quad 0xc845dfa56de66fde + .quad 0xe152a5002c40483a + .quad 0xe9d2e163c7b4f632 + .quad 0x30f4452edcbc1b65 + .quad 0x856d2782c5759740 + .quad 0xfa134569f99cbecc + .quad 0x8844fc73c0ea4e71 + .quad 0x632d9a1a593f2469 + + // 2^208 * 5 * B + + .quad 0xf6bb6b15b807cba6 + .quad 0x1823c7dfbc54f0d7 + .quad 0xbb1d97036e29670b + .quad 0x0b24f48847ed4a57 + .quad 0xbf09fd11ed0c84a7 + .quad 0x63f071810d9f693a + .quad 0x21908c2d57cf8779 + .quad 0x3a5a7df28af64ba2 + .quad 0xdcdad4be511beac7 + .quad 0xa4538075ed26ccf2 + .quad 0xe19cff9f005f9a65 + .quad 0x34fcf74475481f63 + + // 2^208 * 6 * B + + .quad 0xc197e04c789767ca + .quad 0xb8714dcb38d9467d + .quad 0x55de888283f95fa8 + .quad 0x3d3bdc164dfa63f7 + .quad 0xa5bb1dab78cfaa98 + .quad 0x5ceda267190b72f2 + .quad 0x9309c9110a92608e + .quad 0x0119a3042fb374b0 + .quad 0x67a2d89ce8c2177d + .quad 0x669da5f66895d0c1 + .quad 0xf56598e5b282a2b0 + .quad 0x56c088f1ede20a73 + + // 2^208 * 7 * B + + .quad 0x336d3d1110a86e17 + .quad 0xd7f388320b75b2fa + .quad 0xf915337625072988 + .quad 0x09674c6b99108b87 + .quad 0x581b5fac24f38f02 + .quad 0xa90be9febae30cbd + .quad 0x9a2169028acf92f0 + .quad 0x038b7ea48359038f + .quad 0x9f4ef82199316ff8 + .quad 0x2f49d282eaa78d4f + .quad 0x0971a5ab5aef3174 + .quad 0x6e5e31025969eb65 + + // 2^208 * 8 * B + + .quad 0xb16c62f587e593fb + .quad 0x4999eddeca5d3e71 + .quad 0xb491c1e014cc3e6d + .quad 0x08f5114789a8dba8 + .quad 0x3304fb0e63066222 + .quad 0xfb35068987acba3f + .quad 0xbd1924778c1061a3 + .quad 0x3058ad43d1838620 + .quad 0x323c0ffde57663d0 + .quad 0x05c3df38a22ea610 + .quad 0xbdc78abdac994f9a + .quad 0x26549fa4efe3dc99 + + // 2^212 * 1 * B + + .quad 0x738b38d787ce8f89 + .quad 0xb62658e24179a88d + .quad 0x30738c9cf151316d + .quad 0x49128c7f727275c9 + .quad 0x04dbbc17f75396b9 + .quad 0x69e6a2d7d2f86746 + .quad 0xc6409d99f53eabc6 + .quad 0x606175f6332e25d2 + .quad 0x4021370ef540e7dd + .quad 0x0910d6f5a1f1d0a5 + .quad 0x4634aacd5b06b807 + .quad 0x6a39e6356944f235 + + // 2^212 * 2 * B + + .quad 0x96cd5640df90f3e7 + .quad 0x6c3a760edbfa25ea + .quad 0x24f3ef0959e33cc4 + .quad 0x42889e7e530d2e58 + .quad 0x1da1965774049e9d + .quad 0xfbcd6ea198fe352b + .quad 0xb1cbcd50cc5236a6 + .quad 0x1f5ec83d3f9846e2 + .quad 0x8efb23c3328ccb75 + .quad 0xaf42a207dd876ee9 + .quad 0x20fbdadc5dfae796 + .quad 0x241e246b06bf9f51 + + // 2^212 * 3 * B + + .quad 0x29e68e57ad6e98f6 + .quad 0x4c9260c80b462065 + .quad 0x3f00862ea51ebb4b + .quad 0x5bc2c77fb38d9097 + .quad 0x7eaafc9a6280bbb8 + .quad 0x22a70f12f403d809 + .quad 0x31ce40bb1bfc8d20 + .quad 0x2bc65635e8bd53ee + .quad 0xe8d5dc9fa96bad93 + .quad 0xe58fb17dde1947dc + .quad 0x681532ea65185fa3 + .quad 0x1fdd6c3b034a7830 + + // 2^212 * 4 * B + + .quad 0x0a64e28c55dc18fe + .quad 0xe3df9e993399ebdd + .quad 0x79ac432370e2e652 + .quad 0x35ff7fc33ae4cc0e + .quad 0x9c13a6a52dd8f7a9 + .quad 0x2dbb1f8c3efdcabf + .quad 0x961e32405e08f7b5 + .quad 0x48c8a121bbe6c9e5 + .quad 0xfc415a7c59646445 + .quad 0xd224b2d7c128b615 + .quad 0x6035c9c905fbb912 + .quad 0x42d7a91274429fab + + // 2^212 * 5 * B + + .quad 0x4e6213e3eaf72ed3 + .quad 0x6794981a43acd4e7 + .quad 0xff547cde6eb508cb + .quad 0x6fed19dd10fcb532 + .quad 0xa9a48947933da5bc + .quad 0x4a58920ec2e979ec + .quad 0x96d8800013e5ac4c + .quad 0x453692d74b48b147 + .quad 0xdd775d99a8559c6f + .quad 0xf42a2140df003e24 + .quad 0x5223e229da928a66 + .quad 0x063f46ba6d38f22c + + // 2^212 * 6 * B + + .quad 0xd2d242895f536694 + .quad 0xca33a2c542939b2c + .quad 0x986fada6c7ddb95c + .quad 0x5a152c042f712d5d + .quad 0x39843cb737346921 + .quad 0xa747fb0738c89447 + .quad 0xcb8d8031a245307e + .quad 0x67810f8e6d82f068 + .quad 0x3eeb8fbcd2287db4 + .quad 0x72c7d3a301a03e93 + .quad 0x5473e88cbd98265a + .quad 0x7324aa515921b403 + + // 2^212 * 7 * B + + .quad 0x857942f46c3cbe8e + .quad 0xa1d364b14730c046 + .quad 0x1c8ed914d23c41bf + .quad 0x0838e161eef6d5d2 + .quad 0xad23f6dae82354cb + .quad 0x6962502ab6571a6d + .quad 0x9b651636e38e37d1 + .quad 0x5cac5005d1a3312f + .quad 0x8cc154cce9e39904 + .quad 0x5b3a040b84de6846 + .quad 0xc4d8a61cb1be5d6e + .quad 0x40fb897bd8861f02 + + // 2^212 * 8 * B + + .quad 0x84c5aa9062de37a1 + .quad 0x421da5000d1d96e1 + .quad 0x788286306a9242d9 + .quad 0x3c5e464a690d10da + .quad 0xe57ed8475ab10761 + .quad 0x71435e206fd13746 + .quad 0x342f824ecd025632 + .quad 0x4b16281ea8791e7b + .quad 0xd1c101d50b813381 + .quad 0xdee60f1176ee6828 + .quad 0x0cb68893383f6409 + .quad 0x6183c565f6ff484a + + // 2^216 * 1 * B + + .quad 0x741d5a461e6bf9d6 + .quad 0x2305b3fc7777a581 + .quad 0xd45574a26474d3d9 + .quad 0x1926e1dc6401e0ff + .quad 0xdb468549af3f666e + .quad 0xd77fcf04f14a0ea5 + .quad 0x3df23ff7a4ba0c47 + .quad 0x3a10dfe132ce3c85 + .quad 0xe07f4e8aea17cea0 + .quad 0x2fd515463a1fc1fd + .quad 0x175322fd31f2c0f1 + .quad 0x1fa1d01d861e5d15 + + // 2^216 * 2 * B + + .quad 0xcc8055947d599832 + .quad 0x1e4656da37f15520 + .quad 0x99f6f7744e059320 + .quad 0x773563bc6a75cf33 + .quad 0x38dcac00d1df94ab + .quad 0x2e712bddd1080de9 + .quad 0x7f13e93efdd5e262 + .quad 0x73fced18ee9a01e5 + .quad 0x06b1e90863139cb3 + .quad 0xa493da67c5a03ecd + .quad 0x8d77cec8ad638932 + .quad 0x1f426b701b864f44 + + // 2^216 * 3 * B + + .quad 0xefc9264c41911c01 + .quad 0xf1a3b7b817a22c25 + .quad 0x5875da6bf30f1447 + .quad 0x4e1af5271d31b090 + .quad 0xf17e35c891a12552 + .quad 0xb76b8153575e9c76 + .quad 0xfa83406f0d9b723e + .quad 0x0b76bb1b3fa7e438 + .quad 0x08b8c1f97f92939b + .quad 0xbe6771cbd444ab6e + .quad 0x22e5646399bb8017 + .quad 0x7b6dd61eb772a955 + + // 2^216 * 4 * B + + .quad 0xb7adc1e850f33d92 + .quad 0x7998fa4f608cd5cf + .quad 0xad962dbd8dfc5bdb + .quad 0x703e9bceaf1d2f4f + .quad 0x5730abf9ab01d2c7 + .quad 0x16fb76dc40143b18 + .quad 0x866cbe65a0cbb281 + .quad 0x53fa9b659bff6afe + .quad 0x6c14c8e994885455 + .quad 0x843a5d6665aed4e5 + .quad 0x181bb73ebcd65af1 + .quad 0x398d93e5c4c61f50 + + // 2^216 * 5 * B + + .quad 0x1c4bd16733e248f3 + .quad 0xbd9e128715bf0a5f + .quad 0xd43f8cf0a10b0376 + .quad 0x53b09b5ddf191b13 + .quad 0xc3877c60d2e7e3f2 + .quad 0x3b34aaa030828bb1 + .quad 0x283e26e7739ef138 + .quad 0x699c9c9002c30577 + .quad 0xf306a7235946f1cc + .quad 0x921718b5cce5d97d + .quad 0x28cdd24781b4e975 + .quad 0x51caf30c6fcdd907 + + // 2^216 * 6 * B + + .quad 0xa60ba7427674e00a + .quad 0x630e8570a17a7bf3 + .quad 0x3758563dcf3324cc + .quad 0x5504aa292383fdaa + .quad 0x737af99a18ac54c7 + .quad 0x903378dcc51cb30f + .quad 0x2b89bc334ce10cc7 + .quad 0x12ae29c189f8e99a + .quad 0xa99ec0cb1f0d01cf + .quad 0x0dd1efcc3a34f7ae + .quad 0x55ca7521d09c4e22 + .quad 0x5fd14fe958eba5ea + + // 2^216 * 7 * B + + .quad 0xb5dc2ddf2845ab2c + .quad 0x069491b10a7fe993 + .quad 0x4daaf3d64002e346 + .quad 0x093ff26e586474d1 + .quad 0x3c42fe5ebf93cb8e + .quad 0xbedfa85136d4565f + .quad 0xe0f0859e884220e8 + .quad 0x7dd73f960725d128 + .quad 0xb10d24fe68059829 + .quad 0x75730672dbaf23e5 + .quad 0x1367253ab457ac29 + .quad 0x2f59bcbc86b470a4 + + // 2^216 * 8 * B + + .quad 0x83847d429917135f + .quad 0xad1b911f567d03d7 + .quad 0x7e7748d9be77aad1 + .quad 0x5458b42e2e51af4a + .quad 0x7041d560b691c301 + .quad 0x85201b3fadd7e71e + .quad 0x16c2e16311335585 + .quad 0x2aa55e3d010828b1 + .quad 0xed5192e60c07444f + .quad 0x42c54e2d74421d10 + .quad 0x352b4c82fdb5c864 + .quad 0x13e9004a8a768664 + + // 2^220 * 1 * B + + .quad 0xcbb5b5556c032bff + .quad 0xdf7191b729297a3a + .quad 0xc1ff7326aded81bb + .quad 0x71ade8bb68be03f5 + .quad 0x1e6284c5806b467c + .quad 0xc5f6997be75d607b + .quad 0x8b67d958b378d262 + .quad 0x3d88d66a81cd8b70 + .quad 0x8b767a93204ed789 + .quad 0x762fcacb9fa0ae2a + .quad 0x771febcc6dce4887 + .quad 0x343062158ff05fb3 + + // 2^220 * 2 * B + + .quad 0xe05da1a7e1f5bf49 + .quad 0x26457d6dd4736092 + .quad 0x77dcb07773cc32f6 + .quad 0x0a5d94969cdd5fcd + .quad 0xfce219072a7b31b4 + .quad 0x4d7adc75aa578016 + .quad 0x0ec276a687479324 + .quad 0x6d6d9d5d1fda4beb + .quad 0x22b1a58ae9b08183 + .quad 0xfd95d071c15c388b + .quad 0xa9812376850a0517 + .quad 0x33384cbabb7f335e + + // 2^220 * 3 * B + + .quad 0x3c6fa2680ca2c7b5 + .quad 0x1b5082046fb64fda + .quad 0xeb53349c5431d6de + .quad 0x5278b38f6b879c89 + .quad 0x33bc627a26218b8d + .quad 0xea80b21fc7a80c61 + .quad 0x9458b12b173e9ee6 + .quad 0x076247be0e2f3059 + .quad 0x52e105f61416375a + .quad 0xec97af3685abeba4 + .quad 0x26e6b50623a67c36 + .quad 0x5cf0e856f3d4fb01 + + // 2^220 * 4 * B + + .quad 0xf6c968731ae8cab4 + .quad 0x5e20741ecb4f92c5 + .quad 0x2da53be58ccdbc3e + .quad 0x2dddfea269970df7 + .quad 0xbeaece313db342a8 + .quad 0xcba3635b842db7ee + .quad 0xe88c6620817f13ef + .quad 0x1b9438aa4e76d5c6 + .quad 0x8a50777e166f031a + .quad 0x067b39f10fb7a328 + .quad 0x1925c9a6010fbd76 + .quad 0x6df9b575cc740905 + + // 2^220 * 5 * B + + .quad 0x42c1192927f6bdcf + .quad 0x8f91917a403d61ca + .quad 0xdc1c5a668b9e1f61 + .quad 0x1596047804ec0f8d + .quad 0xecdfc35b48cade41 + .quad 0x6a88471fb2328270 + .quad 0x740a4a2440a01b6a + .quad 0x471e5796003b5f29 + .quad 0xda96bbb3aced37ac + .quad 0x7a2423b5e9208cea + .quad 0x24cc5c3038aebae2 + .quad 0x50c356afdc5dae2f + + // 2^220 * 6 * B + + .quad 0x09dcbf4341c30318 + .quad 0xeeba061183181dce + .quad 0xc179c0cedc1e29a1 + .quad 0x1dbf7b89073f35b0 + .quad 0xcfed9cdf1b31b964 + .quad 0xf486a9858ca51af3 + .quad 0x14897265ea8c1f84 + .quad 0x784a53dd932acc00 + .quad 0x2d99f9df14fc4920 + .quad 0x76ccb60cc4499fe5 + .quad 0xa4132cbbe5cf0003 + .quad 0x3f93d82354f000ea + + // 2^220 * 7 * B + + .quad 0x8183e7689e04ce85 + .quad 0x678fb71e04465341 + .quad 0xad92058f6688edac + .quad 0x5da350d3532b099a + .quad 0xeaac12d179e14978 + .quad 0xff923ff3bbebff5e + .quad 0x4af663e40663ce27 + .quad 0x0fd381a811a5f5ff + .quad 0xf256aceca436df54 + .quad 0x108b6168ae69d6e8 + .quad 0x20d986cb6b5d036c + .quad 0x655957b9fee2af50 + + // 2^220 * 8 * B + + .quad 0xaea8b07fa902030f + .quad 0xf88c766af463d143 + .quad 0x15b083663c787a60 + .quad 0x08eab1148267a4a8 + .quad 0xbdc1409bd002d0ac + .quad 0x66660245b5ccd9a6 + .quad 0x82317dc4fade85ec + .quad 0x02fe934b6ad7df0d + .quad 0xef5cf100cfb7ea74 + .quad 0x22897633a1cb42ac + .quad 0xd4ce0c54cef285e2 + .quad 0x30408c048a146a55 + + // 2^224 * 1 * B + + .quad 0x739d8845832fcedb + .quad 0xfa38d6c9ae6bf863 + .quad 0x32bc0dcab74ffef7 + .quad 0x73937e8814bce45e + .quad 0xbb2e00c9193b877f + .quad 0xece3a890e0dc506b + .quad 0xecf3b7c036de649f + .quad 0x5f46040898de9e1a + .quad 0xb9037116297bf48d + .quad 0xa9d13b22d4f06834 + .quad 0xe19715574696bdc6 + .quad 0x2cf8a4e891d5e835 + + // 2^224 * 2 * B + + .quad 0x6d93fd8707110f67 + .quad 0xdd4c09d37c38b549 + .quad 0x7cb16a4cc2736a86 + .quad 0x2049bd6e58252a09 + .quad 0x2cb5487e17d06ba2 + .quad 0x24d2381c3950196b + .quad 0xd7659c8185978a30 + .quad 0x7a6f7f2891d6a4f6 + .quad 0x7d09fd8d6a9aef49 + .quad 0xf0ee60be5b3db90b + .quad 0x4c21b52c519ebfd4 + .quad 0x6011aadfc545941d + + // 2^224 * 3 * B + + .quad 0x5f67926dcf95f83c + .quad 0x7c7e856171289071 + .quad 0xd6a1e7f3998f7a5b + .quad 0x6fc5cc1b0b62f9e0 + .quad 0x63ded0c802cbf890 + .quad 0xfbd098ca0dff6aaa + .quad 0x624d0afdb9b6ed99 + .quad 0x69ce18b779340b1e + .quad 0xd1ef5528b29879cb + .quad 0xdd1aae3cd47e9092 + .quad 0x127e0442189f2352 + .quad 0x15596b3ae57101f1 + + // 2^224 * 4 * B + + .quad 0x462739d23f9179a2 + .quad 0xff83123197d6ddcf + .quad 0x1307deb553f2148a + .quad 0x0d2237687b5f4dda + .quad 0x09ff31167e5124ca + .quad 0x0be4158bd9c745df + .quad 0x292b7d227ef556e5 + .quad 0x3aa4e241afb6d138 + .quad 0x2cc138bf2a3305f5 + .quad 0x48583f8fa2e926c3 + .quad 0x083ab1a25549d2eb + .quad 0x32fcaa6e4687a36c + + // 2^224 * 5 * B + + .quad 0x7bc56e8dc57d9af5 + .quad 0x3e0bd2ed9df0bdf2 + .quad 0xaac014de22efe4a3 + .quad 0x4627e9cefebd6a5c + .quad 0x3207a4732787ccdf + .quad 0x17e31908f213e3f8 + .quad 0xd5b2ecd7f60d964e + .quad 0x746f6336c2600be9 + .quad 0x3f4af345ab6c971c + .quad 0xe288eb729943731f + .quad 0x33596a8a0344186d + .quad 0x7b4917007ed66293 + + // 2^224 * 6 * B + + .quad 0x2d85fb5cab84b064 + .quad 0x497810d289f3bc14 + .quad 0x476adc447b15ce0c + .quad 0x122ba376f844fd7b + .quad 0x54341b28dd53a2dd + .quad 0xaa17905bdf42fc3f + .quad 0x0ff592d94dd2f8f4 + .quad 0x1d03620fe08cd37d + .quad 0xc20232cda2b4e554 + .quad 0x9ed0fd42115d187f + .quad 0x2eabb4be7dd479d9 + .quad 0x02c70bf52b68ec4c + + // 2^224 * 7 * B + + .quad 0xa287ec4b5d0b2fbb + .quad 0x415c5790074882ca + .quad 0xe044a61ec1d0815c + .quad 0x26334f0a409ef5e0 + .quad 0xace532bf458d72e1 + .quad 0x5be768e07cb73cb5 + .quad 0x56cf7d94ee8bbde7 + .quad 0x6b0697e3feb43a03 + .quad 0xb6c8f04adf62a3c0 + .quad 0x3ef000ef076da45d + .quad 0x9c9cb95849f0d2a9 + .quad 0x1cc37f43441b2fae + + // 2^224 * 8 * B + + .quad 0x508f565a5cc7324f + .quad 0xd061c4c0e506a922 + .quad 0xfb18abdb5c45ac19 + .quad 0x6c6809c10380314a + .quad 0xd76656f1c9ceaeb9 + .quad 0x1c5b15f818e5656a + .quad 0x26e72832844c2334 + .quad 0x3a346f772f196838 + .quad 0xd2d55112e2da6ac8 + .quad 0xe9bd0331b1e851ed + .quad 0x960746dd8ec67262 + .quad 0x05911b9f6ef7c5d0 + + // 2^228 * 1 * B + + .quad 0xe9dcd756b637ff2d + .quad 0xec4c348fc987f0c4 + .quad 0xced59285f3fbc7b7 + .quad 0x3305354793e1ea87 + .quad 0x01c18980c5fe9f94 + .quad 0xcd656769716fd5c8 + .quad 0x816045c3d195a086 + .quad 0x6e2b7f3266cc7982 + .quad 0xcc802468f7c3568f + .quad 0x9de9ba8219974cb3 + .quad 0xabb7229cb5b81360 + .quad 0x44e2017a6fbeba62 + + // 2^228 * 2 * B + + .quad 0xc4c2a74354dab774 + .quad 0x8e5d4c3c4eaf031a + .quad 0xb76c23d242838f17 + .quad 0x749a098f68dce4ea + .quad 0x87f82cf3b6ca6ecd + .quad 0x580f893e18f4a0c2 + .quad 0x058930072604e557 + .quad 0x6cab6ac256d19c1d + .quad 0xdcdfe0a02cc1de60 + .quad 0x032665ff51c5575b + .quad 0x2c0c32f1073abeeb + .quad 0x6a882014cd7b8606 + + // 2^228 * 3 * B + + .quad 0xa52a92fea4747fb5 + .quad 0xdc12a4491fa5ab89 + .quad 0xd82da94bb847a4ce + .quad 0x4d77edce9512cc4e + .quad 0xd111d17caf4feb6e + .quad 0x050bba42b33aa4a3 + .quad 0x17514c3ceeb46c30 + .quad 0x54bedb8b1bc27d75 + .quad 0x77c8e14577e2189c + .quad 0xa3e46f6aff99c445 + .quad 0x3144dfc86d335343 + .quad 0x3a96559e7c4216a9 + + // 2^228 * 4 * B + + .quad 0x12550d37f42ad2ee + .quad 0x8b78e00498a1fbf5 + .quad 0x5d53078233894cb2 + .quad 0x02c84e4e3e498d0c + .quad 0x4493896880baaa52 + .quad 0x4c98afc4f285940e + .quad 0xef4aa79ba45448b6 + .quad 0x5278c510a57aae7f + .quad 0xa54dd074294c0b94 + .quad 0xf55d46b8df18ffb6 + .quad 0xf06fecc58dae8366 + .quad 0x588657668190d165 + + // 2^228 * 5 * B + + .quad 0xd47712311aef7117 + .quad 0x50343101229e92c7 + .quad 0x7a95e1849d159b97 + .quad 0x2449959b8b5d29c9 + .quad 0xbf5834f03de25cc3 + .quad 0xb887c8aed6815496 + .quad 0x5105221a9481e892 + .quad 0x6760ed19f7723f93 + .quad 0x669ba3b7ac35e160 + .quad 0x2eccf73fba842056 + .quad 0x1aec1f17c0804f07 + .quad 0x0d96bc031856f4e7 + + // 2^228 * 6 * B + + .quad 0x3318be7775c52d82 + .quad 0x4cb764b554d0aab9 + .quad 0xabcf3d27cc773d91 + .quad 0x3bf4d1848123288a + .quad 0xb1d534b0cc7505e1 + .quad 0x32cd003416c35288 + .quad 0xcb36a5800762c29d + .quad 0x5bfe69b9237a0bf8 + .quad 0x183eab7e78a151ab + .quad 0xbbe990c999093763 + .quad 0xff717d6e4ac7e335 + .quad 0x4c5cddb325f39f88 + + // 2^228 * 7 * B + + .quad 0xc0f6b74d6190a6eb + .quad 0x20ea81a42db8f4e4 + .quad 0xa8bd6f7d97315760 + .quad 0x33b1d60262ac7c21 + .quad 0x57750967e7a9f902 + .quad 0x2c37fdfc4f5b467e + .quad 0xb261663a3177ba46 + .quad 0x3a375e78dc2d532b + .quad 0x8141e72f2d4dddea + .quad 0xe6eafe9862c607c8 + .quad 0x23c28458573cafd0 + .quad 0x46b9476f4ff97346 + + // 2^228 * 8 * B + + .quad 0x0c1ffea44f901e5c + .quad 0x2b0b6fb72184b782 + .quad 0xe587ff910114db88 + .quad 0x37130f364785a142 + .quad 0x1215505c0d58359f + .quad 0x2a2013c7fc28c46b + .quad 0x24a0a1af89ea664e + .quad 0x4400b638a1130e1f + .quad 0x3a01b76496ed19c3 + .quad 0x31e00ab0ed327230 + .quad 0x520a885783ca15b1 + .quad 0x06aab9875accbec7 + + // 2^232 * 1 * B + + .quad 0xc1339983f5df0ebb + .quad 0xc0f3758f512c4cac + .quad 0x2cf1130a0bb398e1 + .quad 0x6b3cecf9aa270c62 + .quad 0x5349acf3512eeaef + .quad 0x20c141d31cc1cb49 + .quad 0x24180c07a99a688d + .quad 0x555ef9d1c64b2d17 + .quad 0x36a770ba3b73bd08 + .quad 0x624aef08a3afbf0c + .quad 0x5737ff98b40946f2 + .quad 0x675f4de13381749d + + // 2^232 * 2 * B + + .quad 0x0e2c52036b1782fc + .quad 0x64816c816cad83b4 + .quad 0xd0dcbdd96964073e + .quad 0x13d99df70164c520 + .quad 0xa12ff6d93bdab31d + .quad 0x0725d80f9d652dfe + .quad 0x019c4ff39abe9487 + .quad 0x60f450b882cd3c43 + .quad 0x014b5ec321e5c0ca + .quad 0x4fcb69c9d719bfa2 + .quad 0x4e5f1c18750023a0 + .quad 0x1c06de9e55edac80 + + // 2^232 * 3 * B + + .quad 0x990f7ad6a33ec4e2 + .quad 0x6608f938be2ee08e + .quad 0x9ca143c563284515 + .quad 0x4cf38a1fec2db60d + .quad 0xffd52b40ff6d69aa + .quad 0x34530b18dc4049bb + .quad 0x5e4a5c2fa34d9897 + .quad 0x78096f8e7d32ba2d + .quad 0xa0aaaa650dfa5ce7 + .quad 0xf9c49e2a48b5478c + .quad 0x4f09cc7d7003725b + .quad 0x373cad3a26091abe + + // 2^232 * 4 * B + + .quad 0xb294634d82c9f57c + .quad 0x1fcbfde124934536 + .quad 0x9e9c4db3418cdb5a + .quad 0x0040f3d9454419fc + .quad 0xf1bea8fb89ddbbad + .quad 0x3bcb2cbc61aeaecb + .quad 0x8f58a7bb1f9b8d9d + .quad 0x21547eda5112a686 + .quad 0xdefde939fd5986d3 + .quad 0xf4272c89510a380c + .quad 0xb72ba407bb3119b9 + .quad 0x63550a334a254df4 + + // 2^232 * 5 * B + + .quad 0x6507d6edb569cf37 + .quad 0x178429b00ca52ee1 + .quad 0xea7c0090eb6bd65d + .quad 0x3eea62c7daf78f51 + .quad 0x9bba584572547b49 + .quad 0xf305c6fae2c408e0 + .quad 0x60e8fa69c734f18d + .quad 0x39a92bafaa7d767a + .quad 0x9d24c713e693274e + .quad 0x5f63857768dbd375 + .quad 0x70525560eb8ab39a + .quad 0x68436a0665c9c4cd + + // 2^232 * 6 * B + + .quad 0xbc0235e8202f3f27 + .quad 0xc75c00e264f975b0 + .quad 0x91a4e9d5a38c2416 + .quad 0x17b6e7f68ab789f9 + .quad 0x1e56d317e820107c + .quad 0xc5266844840ae965 + .quad 0xc1e0a1c6320ffc7a + .quad 0x5373669c91611472 + .quad 0x5d2814ab9a0e5257 + .quad 0x908f2084c9cab3fc + .quad 0xafcaf5885b2d1eca + .quad 0x1cb4b5a678f87d11 + + // 2^232 * 7 * B + + .quad 0xb664c06b394afc6c + .quad 0x0c88de2498da5fb1 + .quad 0x4f8d03164bcad834 + .quad 0x330bca78de7434a2 + .quad 0x6b74aa62a2a007e7 + .quad 0xf311e0b0f071c7b1 + .quad 0x5707e438000be223 + .quad 0x2dc0fd2d82ef6eac + .quad 0x982eff841119744e + .quad 0xf9695e962b074724 + .quad 0xc58ac14fbfc953fb + .quad 0x3c31be1b369f1cf5 + + // 2^232 * 8 * B + + .quad 0xb0f4864d08948aee + .quad 0x07dc19ee91ba1c6f + .quad 0x7975cdaea6aca158 + .quad 0x330b61134262d4bb + .quad 0xc168bc93f9cb4272 + .quad 0xaeb8711fc7cedb98 + .quad 0x7f0e52aa34ac8d7a + .quad 0x41cec1097e7d55bb + .quad 0xf79619d7a26d808a + .quad 0xbb1fd49e1d9e156d + .quad 0x73d7c36cdba1df27 + .quad 0x26b44cd91f28777d + + // 2^236 * 1 * B + + .quad 0x300a9035393aa6d8 + .quad 0x2b501131a12bb1cd + .quad 0x7b1ff677f093c222 + .quad 0x4309c1f8cab82bad + .quad 0xaf44842db0285f37 + .quad 0x8753189047efc8df + .quad 0x9574e091f820979a + .quad 0x0e378d6069615579 + .quad 0xd9fa917183075a55 + .quad 0x4bdb5ad26b009fdc + .quad 0x7829ad2cd63def0e + .quad 0x078fc54975fd3877 + + // 2^236 * 2 * B + + .quad 0x87dfbd1428878f2d + .quad 0x134636dd1e9421a1 + .quad 0x4f17c951257341a3 + .quad 0x5df98d4bad296cb8 + .quad 0xe2004b5bb833a98a + .quad 0x44775dec2d4c3330 + .quad 0x3aa244067eace913 + .quad 0x272630e3d58e00a9 + .quad 0xf3678fd0ecc90b54 + .quad 0xf001459b12043599 + .quad 0x26725fbc3758b89b + .quad 0x4325e4aa73a719ae + + // 2^236 * 3 * B + + .quad 0x657dc6ef433c3493 + .quad 0x65375e9f80dbf8c3 + .quad 0x47fd2d465b372dae + .quad 0x4966ab79796e7947 + .quad 0xed24629acf69f59d + .quad 0x2a4a1ccedd5abbf4 + .quad 0x3535ca1f56b2d67b + .quad 0x5d8c68d043b1b42d + .quad 0xee332d4de3b42b0a + .quad 0xd84e5a2b16a4601c + .quad 0x78243877078ba3e4 + .quad 0x77ed1eb4184ee437 + + // 2^236 * 4 * B + + .quad 0xbfd4e13f201839a0 + .quad 0xaeefffe23e3df161 + .quad 0xb65b04f06b5d1fe3 + .quad 0x52e085fb2b62fbc0 + .quad 0x185d43f89e92ed1a + .quad 0xb04a1eeafe4719c6 + .quad 0x499fbe88a6f03f4f + .quad 0x5d8b0d2f3c859bdd + .quad 0x124079eaa54cf2ba + .quad 0xd72465eb001b26e7 + .quad 0x6843bcfdc97af7fd + .quad 0x0524b42b55eacd02 + + // 2^236 * 5 * B + + .quad 0xfd0d5dbee45447b0 + .quad 0x6cec351a092005ee + .quad 0x99a47844567579cb + .quad 0x59d242a216e7fa45 + .quad 0xbc18dcad9b829eac + .quad 0x23ae7d28b5f579d0 + .quad 0xc346122a69384233 + .quad 0x1a6110b2e7d4ac89 + .quad 0x4f833f6ae66997ac + .quad 0x6849762a361839a4 + .quad 0x6985dec1970ab525 + .quad 0x53045e89dcb1f546 + + // 2^236 * 6 * B + + .quad 0xcb8bb346d75353db + .quad 0xfcfcb24bae511e22 + .quad 0xcba48d40d50ae6ef + .quad 0x26e3bae5f4f7cb5d + .quad 0x84da3cde8d45fe12 + .quad 0xbd42c218e444e2d2 + .quad 0xa85196781f7e3598 + .quad 0x7642c93f5616e2b2 + .quad 0x2323daa74595f8e4 + .quad 0xde688c8b857abeb4 + .quad 0x3fc48e961c59326e + .quad 0x0b2e73ca15c9b8ba + + // 2^236 * 7 * B + + .quad 0xd6bb4428c17f5026 + .quad 0x9eb27223fb5a9ca7 + .quad 0xe37ba5031919c644 + .quad 0x21ce380db59a6602 + .quad 0x0e3fbfaf79c03a55 + .quad 0x3077af054cbb5acf + .quad 0xd5c55245db3de39f + .quad 0x015e68c1476a4af7 + .quad 0xc1d5285220066a38 + .quad 0x95603e523570aef3 + .quad 0x832659a7226b8a4d + .quad 0x5dd689091f8eedc9 + + // 2^236 * 8 * B + + .quad 0xcbac84debfd3c856 + .quad 0x1624c348b35ff244 + .quad 0xb7f88dca5d9cad07 + .quad 0x3b0e574da2c2ebe8 + .quad 0x1d022591a5313084 + .quad 0xca2d4aaed6270872 + .quad 0x86a12b852f0bfd20 + .quad 0x56e6c439ad7da748 + .quad 0xc704ff4942bdbae6 + .quad 0x5e21ade2b2de1f79 + .quad 0xe95db3f35652fad8 + .quad 0x0822b5378f08ebc1 + + // 2^240 * 1 * B + + .quad 0x51f048478f387475 + .quad 0xb25dbcf49cbecb3c + .quad 0x9aab1244d99f2055 + .quad 0x2c709e6c1c10a5d6 + .quad 0xe1b7f29362730383 + .quad 0x4b5279ffebca8a2c + .quad 0xdafc778abfd41314 + .quad 0x7deb10149c72610f + .quad 0xcb62af6a8766ee7a + .quad 0x66cbec045553cd0e + .quad 0x588001380f0be4b5 + .quad 0x08e68e9ff62ce2ea + + // 2^240 * 2 * B + + .quad 0x34ad500a4bc130ad + .quad 0x8d38db493d0bd49c + .quad 0xa25c3d98500a89be + .quad 0x2f1f3f87eeba3b09 + .quad 0x2f2d09d50ab8f2f9 + .quad 0xacb9218dc55923df + .quad 0x4a8f342673766cb9 + .quad 0x4cb13bd738f719f5 + .quad 0xf7848c75e515b64a + .quad 0xa59501badb4a9038 + .quad 0xc20d313f3f751b50 + .quad 0x19a1e353c0ae2ee8 + + // 2^240 * 3 * B + + .quad 0x7d1c7560bafa05c3 + .quad 0xb3e1a0a0c6e55e61 + .quad 0xe3529718c0d66473 + .quad 0x41546b11c20c3486 + .quad 0xb42172cdd596bdbd + .quad 0x93e0454398eefc40 + .quad 0x9fb15347b44109b5 + .quad 0x736bd3990266ae34 + .quad 0x85532d509334b3b4 + .quad 0x46fd114b60816573 + .quad 0xcc5f5f30425c8375 + .quad 0x412295a2b87fab5c + + // 2^240 * 4 * B + + .quad 0x19c99b88f57ed6e9 + .quad 0x5393cb266df8c825 + .quad 0x5cee3213b30ad273 + .quad 0x14e153ebb52d2e34 + .quad 0x2e655261e293eac6 + .quad 0x845a92032133acdb + .quad 0x460975cb7900996b + .quad 0x0760bb8d195add80 + .quad 0x413e1a17cde6818a + .quad 0x57156da9ed69a084 + .quad 0x2cbf268f46caccb1 + .quad 0x6b34be9bc33ac5f2 + + // 2^240 * 5 * B + + .quad 0xf3df2f643a78c0b2 + .quad 0x4c3e971ef22e027c + .quad 0xec7d1c5e49c1b5a3 + .quad 0x2012c18f0922dd2d + .quad 0x11fc69656571f2d3 + .quad 0xc6c9e845530e737a + .quad 0xe33ae7a2d4fe5035 + .quad 0x01b9c7b62e6dd30b + .quad 0x880b55e55ac89d29 + .quad 0x1483241f45a0a763 + .quad 0x3d36efdfc2e76c1f + .quad 0x08af5b784e4bade8 + + // 2^240 * 6 * B + + .quad 0x283499dc881f2533 + .quad 0x9d0525da779323b6 + .quad 0x897addfb673441f4 + .quad 0x32b79d71163a168d + .quad 0xe27314d289cc2c4b + .quad 0x4be4bd11a287178d + .quad 0x18d528d6fa3364ce + .quad 0x6423c1d5afd9826e + .quad 0xcc85f8d9edfcb36a + .quad 0x22bcc28f3746e5f9 + .quad 0xe49de338f9e5d3cd + .quad 0x480a5efbc13e2dcc + + // 2^240 * 7 * B + + .quad 0x0b51e70b01622071 + .quad 0x06b505cf8b1dafc5 + .quad 0x2c6bb061ef5aabcd + .quad 0x47aa27600cb7bf31 + .quad 0xb6614ce442ce221f + .quad 0x6e199dcc4c053928 + .quad 0x663fb4a4dc1cbe03 + .quad 0x24b31d47691c8e06 + .quad 0x2a541eedc015f8c3 + .quad 0x11a4fe7e7c693f7c + .quad 0xf0af66134ea278d6 + .quad 0x545b585d14dda094 + + // 2^240 * 8 * B + + .quad 0x67bf275ea0d43a0f + .quad 0xade68e34089beebe + .quad 0x4289134cd479e72e + .quad 0x0f62f9c332ba5454 + .quad 0x6204e4d0e3b321e1 + .quad 0x3baa637a28ff1e95 + .quad 0x0b0ccffd5b99bd9e + .quad 0x4d22dc3e64c8d071 + .quad 0xfcb46589d63b5f39 + .quad 0x5cae6a3f57cbcf61 + .quad 0xfebac2d2953afa05 + .quad 0x1c0fa01a36371436 + + // 2^244 * 1 * B + + .quad 0xe7547449bc7cd692 + .quad 0x0f9abeaae6f73ddf + .quad 0x4af01ca700837e29 + .quad 0x63ab1b5d3f1bc183 + .quad 0xc11ee5e854c53fae + .quad 0x6a0b06c12b4f3ff4 + .quad 0x33540f80e0b67a72 + .quad 0x15f18fc3cd07e3ef + .quad 0x32750763b028f48c + .quad 0x06020740556a065f + .quad 0xd53bd812c3495b58 + .quad 0x08706c9b865f508d + + // 2^244 * 2 * B + + .quad 0xf37ca2ab3d343dff + .quad 0x1a8c6a2d80abc617 + .quad 0x8e49e035d4ccffca + .quad 0x48b46beebaa1d1b9 + .quad 0xcc991b4138b41246 + .quad 0x243b9c526f9ac26b + .quad 0xb9ef494db7cbabbd + .quad 0x5fba433dd082ed00 + .quad 0x9c49e355c9941ad0 + .quad 0xb9734ade74498f84 + .quad 0x41c3fed066663e5c + .quad 0x0ecfedf8e8e710b3 + + // 2^244 * 3 * B + + .quad 0x76430f9f9cd470d9 + .quad 0xb62acc9ba42f6008 + .quad 0x1898297c59adad5e + .quad 0x7789dd2db78c5080 + .quad 0x744f7463e9403762 + .quad 0xf79a8dee8dfcc9c9 + .quad 0x163a649655e4cde3 + .quad 0x3b61788db284f435 + .quad 0xb22228190d6ef6b2 + .quad 0xa94a66b246ce4bfa + .quad 0x46c1a77a4f0b6cc7 + .quad 0x4236ccffeb7338cf + + // 2^244 * 4 * B + + .quad 0x8497404d0d55e274 + .quad 0x6c6663d9c4ad2b53 + .quad 0xec2fb0d9ada95734 + .quad 0x2617e120cdb8f73c + .quad 0x3bd82dbfda777df6 + .quad 0x71b177cc0b98369e + .quad 0x1d0e8463850c3699 + .quad 0x5a71945b48e2d1f1 + .quad 0x6f203dd5405b4b42 + .quad 0x327ec60410b24509 + .quad 0x9c347230ac2a8846 + .quad 0x77de29fc11ffeb6a + + // 2^244 * 5 * B + + .quad 0xb0ac57c983b778a8 + .quad 0x53cdcca9d7fe912c + .quad 0x61c2b854ff1f59dc + .quad 0x3a1a2cf0f0de7dac + .quad 0x835e138fecced2ca + .quad 0x8c9eaf13ea963b9a + .quad 0xc95fbfc0b2160ea6 + .quad 0x575e66f3ad877892 + .quad 0x99803a27c88fcb3a + .quad 0x345a6789275ec0b0 + .quad 0x459789d0ff6c2be5 + .quad 0x62f882651e70a8b2 + + // 2^244 * 6 * B + + .quad 0x085ae2c759ff1be4 + .quad 0x149145c93b0e40b7 + .quad 0xc467e7fa7ff27379 + .quad 0x4eeecf0ad5c73a95 + .quad 0x6d822986698a19e0 + .quad 0xdc9821e174d78a71 + .quad 0x41a85f31f6cb1f47 + .quad 0x352721c2bcda9c51 + .quad 0x48329952213fc985 + .quad 0x1087cf0d368a1746 + .quad 0x8e5261b166c15aa5 + .quad 0x2d5b2d842ed24c21 + + // 2^244 * 7 * B + + .quad 0x02cfebd9ebd3ded1 + .quad 0xd45b217739021974 + .quad 0x7576f813fe30a1b7 + .quad 0x5691b6f9a34ef6c2 + .quad 0x5eb7d13d196ac533 + .quad 0x377234ecdb80be2b + .quad 0xe144cffc7cf5ae24 + .quad 0x5226bcf9c441acec + .quad 0x79ee6c7223e5b547 + .quad 0x6f5f50768330d679 + .quad 0xed73e1e96d8adce9 + .quad 0x27c3da1e1d8ccc03 + + // 2^244 * 8 * B + + .quad 0x7eb9efb23fe24c74 + .quad 0x3e50f49f1651be01 + .quad 0x3ea732dc21858dea + .quad 0x17377bd75bb810f9 + .quad 0x28302e71630ef9f6 + .quad 0xc2d4a2032b64cee0 + .quad 0x090820304b6292be + .quad 0x5fca747aa82adf18 + .quad 0x232a03c35c258ea5 + .quad 0x86f23a2c6bcb0cf1 + .quad 0x3dad8d0d2e442166 + .quad 0x04a8933cab76862b + + // 2^248 * 1 * B + + .quad 0xd2c604b622943dff + .quad 0xbc8cbece44cfb3a0 + .quad 0x5d254ff397808678 + .quad 0x0fa3614f3b1ca6bf + .quad 0x69082b0e8c936a50 + .quad 0xf9c9a035c1dac5b6 + .quad 0x6fb73e54c4dfb634 + .quad 0x4005419b1d2bc140 + .quad 0xa003febdb9be82f0 + .quad 0x2089c1af3a44ac90 + .quad 0xf8499f911954fa8e + .quad 0x1fba218aef40ab42 + + // 2^248 * 2 * B + + .quad 0xab549448fac8f53e + .quad 0x81f6e89a7ba63741 + .quad 0x74fd6c7d6c2b5e01 + .quad 0x392e3acaa8c86e42 + .quad 0x4f3e57043e7b0194 + .quad 0xa81d3eee08daaf7f + .quad 0xc839c6ab99dcdef1 + .quad 0x6c535d13ff7761d5 + .quad 0x4cbd34e93e8a35af + .quad 0x2e0781445887e816 + .quad 0x19319c76f29ab0ab + .quad 0x25e17fe4d50ac13b + + // 2^248 * 3 * B + + .quad 0x0a289bd71e04f676 + .quad 0x208e1c52d6420f95 + .quad 0x5186d8b034691fab + .quad 0x255751442a9fb351 + .quad 0x915f7ff576f121a7 + .quad 0xc34a32272fcd87e3 + .quad 0xccba2fde4d1be526 + .quad 0x6bba828f8969899b + .quad 0xe2d1bc6690fe3901 + .quad 0x4cb54a18a0997ad5 + .quad 0x971d6914af8460d4 + .quad 0x559d504f7f6b7be4 + + // 2^248 * 4 * B + + .quad 0xa7738378b3eb54d5 + .quad 0x1d69d366a5553c7c + .quad 0x0a26cf62f92800ba + .quad 0x01ab12d5807e3217 + .quad 0x9c4891e7f6d266fd + .quad 0x0744a19b0307781b + .quad 0x88388f1d6061e23b + .quad 0x123ea6a3354bd50e + .quad 0x118d189041e32d96 + .quad 0xb9ede3c2d8315848 + .quad 0x1eab4271d83245d9 + .quad 0x4a3961e2c918a154 + + // 2^248 * 5 * B + + .quad 0x71dc3be0f8e6bba0 + .quad 0xd6cef8347effe30a + .quad 0xa992425fe13a476a + .quad 0x2cd6bce3fb1db763 + .quad 0x0327d644f3233f1e + .quad 0x499a260e34fcf016 + .quad 0x83b5a716f2dab979 + .quad 0x68aceead9bd4111f + .quad 0x38b4c90ef3d7c210 + .quad 0x308e6e24b7ad040c + .quad 0x3860d9f1b7e73e23 + .quad 0x595760d5b508f597 + + // 2^248 * 6 * B + + .quad 0x6129bfe104aa6397 + .quad 0x8f960008a4a7fccb + .quad 0x3f8bc0897d909458 + .quad 0x709fa43edcb291a9 + .quad 0x882acbebfd022790 + .quad 0x89af3305c4115760 + .quad 0x65f492e37d3473f4 + .quad 0x2cb2c5df54515a2b + .quad 0xeb0a5d8c63fd2aca + .quad 0xd22bc1662e694eff + .quad 0x2723f36ef8cbb03a + .quad 0x70f029ecf0c8131f + + // 2^248 * 7 * B + + .quad 0x461307b32eed3e33 + .quad 0xae042f33a45581e7 + .quad 0xc94449d3195f0366 + .quad 0x0b7d5d8a6c314858 + .quad 0x2a6aafaa5e10b0b9 + .quad 0x78f0a370ef041aa9 + .quad 0x773efb77aa3ad61f + .quad 0x44eca5a2a74bd9e1 + .quad 0x25d448327b95d543 + .quad 0x70d38300a3340f1d + .quad 0xde1c531c60e1c52b + .quad 0x272224512c7de9e4 + + // 2^248 * 8 * B + + .quad 0x1abc92af49c5342e + .quad 0xffeed811b2e6fad0 + .quad 0xefa28c8dfcc84e29 + .quad 0x11b5df18a44cc543 + .quad 0xbf7bbb8a42a975fc + .quad 0x8c5c397796ada358 + .quad 0xe27fc76fcdedaa48 + .quad 0x19735fd7f6bc20a6 + .quad 0xe3ab90d042c84266 + .quad 0xeb848e0f7f19547e + .quad 0x2503a1d065a497b9 + .quad 0x0fef911191df895f diff --git a/cbits/s2n/arm/p256_montjadd.S b/cbits/s2n/arm/p256_montjadd.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/p256_montjadd.S @@ -0,0 +1,3165 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Point addition on NIST curve P-256 in Montgomery-Jacobian coordinates +// +// extern void p256_montjadd(uint64_t p3[static 12], const uint64_t p1[static 12], +// const uint64_t p2[static 12]); +// +// Does p3 := p1 + p2 where all points are regarded as Jacobian triples with +// each coordinate in the Montgomery domain, i.e. x' = (2^256 * x) mod p_256. +// A Jacobian triple (x',y',z') represents affine point (x/z^2,y/z^3). +// +// Standard ARM ABI: X0 = p3, X1 = p1, X2 = p2 +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + +// This is functionally equivalent to p256_montjadd in unopt/p256_montjadd.S. +// This is the result of doing the following sequence of optimizations: +// 1. Function inlining +// 2. Eliminating redundant load/store instructions +// 3. Folding (add addr, const) + load/store +// Function inlining is done manually. The second and third optimizations are +// done by a script. + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p256_montjadd) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p256_montjadd) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p256_montjadd) + + .text + .balign 4 + +#define NUMSIZE 32 +#define NSPACE NUMSIZE*7 + +S2N_BN_SYMBOL(p256_montjadd): + CFI_START + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_PUSH2(x25,x26) + CFI_PUSH2(x27,x30) + CFI_DEC_SP(NSPACE) + + mov x21, x0 + mov x22, x1 + mov x23, x2 + mov x0, sp + ldr q19, [x22, #64] + ldp x9, x13, [x22, #64] + ldr q23, [x22, #80] + ldr q0, [x22, #64] + ldp x1, x10, [x22, #80] + uzp2 v29.4s, v19.4s, v19.4s + xtn v4.2s, v19.2d + umulh x8, x9, x13 + rev64 v20.4s, v23.4s + umull v16.2d, v19.2s, v19.2s + umull v1.2d, v29.2s, v4.2s + mul v20.4s, v20.4s, v0.4s + subs x14, x9, x13 + umulh x15, x9, x1 + mov x16, v16.d[1] + umull2 v4.2d, v19.4s, v19.4s + mov x4, v16.d[0] + uzp1 v17.4s, v23.4s, v0.4s + uaddlp v19.2d, v20.4s + lsr x7, x8, #63 + mul x11, x9, x13 + mov x12, v1.d[0] + csetm x5, cc + cneg x6, x14, cc + mov x3, v4.d[1] + mov x14, v4.d[0] + subs x2, x10, x1 + mov x9, v1.d[1] + cneg x17, x2, cc + cinv x2, x5, cc + adds x5, x4, x12, lsl #33 + extr x4, x8, x11, #63 + lsr x8, x12, #31 + uzp1 v20.4s, v0.4s, v0.4s + shl v19.2d, v19.2d, #32 + adc x16, x16, x8 + adds x8, x14, x9, lsl #33 + lsr x14, x9, #31 + lsl x9, x5, #32 + umlal v19.2d, v20.2s, v17.2s + adc x14, x3, x14 + adds x16, x16, x11, lsl #1 + lsr x3, x5, #32 + umulh x12, x6, x17 + adcs x4, x8, x4 + adc x11, x14, x7 + subs x8, x5, x9 + sbc x5, x5, x3 + adds x16, x16, x9 + mov x14, v19.d[0] + mul x17, x6, x17 + adcs x3, x4, x3 + lsl x7, x16, #32 + umulh x13, x13, x10 + adcs x11, x11, x8 + lsr x8, x16, #32 + adc x5, x5, xzr + subs x9, x16, x7 + sbc x16, x16, x8 + adds x7, x3, x7 + mov x3, v19.d[1] + adcs x6, x11, x8 + umulh x11, x1, x10 + adcs x5, x5, x9 + eor x8, x12, x2 + adc x9, x16, xzr + adds x16, x14, x15 + adc x15, x15, xzr + adds x12, x16, x3 + eor x16, x17, x2 + mul x4, x1, x10 + adcs x15, x15, x13 + adc x17, x13, xzr + adds x15, x15, x3 + adc x3, x17, xzr + cmn x2, #0x1 + mul x17, x10, x10 + adcs x12, x12, x16 + adcs x16, x15, x8 + umulh x10, x10, x10 + adc x2, x3, x2 + adds x14, x14, x14 + adcs x12, x12, x12 + adcs x16, x16, x16 + adcs x2, x2, x2 + adc x15, xzr, xzr + adds x14, x14, x7 + mul x3, x1, x1 + adcs x12, x12, x6 + lsr x7, x14, #32 + adcs x16, x16, x5 + lsl x5, x14, #32 + umulh x13, x1, x1 + adcs x2, x2, x9 + mov x6, #0xffffffff + adc x15, x15, xzr + adds x8, x4, x4 + adcs x1, x11, x11 + mov x11, #0xffffffff00000001 + adc x4, xzr, xzr + subs x9, x14, x5 + sbc x14, x14, x7 + adds x12, x12, x5 + adcs x16, x16, x7 + lsl x5, x12, #32 + lsr x7, x12, #32 + adcs x2, x2, x9 + adcs x14, x15, x14 + adc x15, xzr, xzr + subs x9, x12, x5 + sbc x12, x12, x7 + adds x16, x16, x5 + adcs x2, x2, x7 + adcs x14, x14, x9 + adcs x12, x15, x12 + adc x15, xzr, xzr + adds x16, x16, x3 + adcs x2, x2, x13 + adcs x14, x14, x17 + adcs x12, x12, x10 + adc x15, x15, xzr + adds x2, x2, x8 + adcs x14, x14, x1 + adcs x12, x12, x4 + adcs x15, x15, xzr + adds x3, x16, #0x1 + sbcs x5, x2, x6 + sbcs x8, x14, xzr + sbcs x11, x12, x11 + sbcs xzr, x15, xzr + csel x19, x3, x16, cs + csel x14, x8, x14, cs + csel x12, x11, x12, cs + csel x20, x5, x2, cs + stp x14, x12, [x0, #16] + stp x19, x20, [x0] + ldr q19, [x23, #64] + ldp x9, x13, [x23, #64] + ldr q23, [x23, #80] + ldr q0, [x23, #64] + ldp x1, x10, [x23, #80] + uzp2 v29.4s, v19.4s, v19.4s + xtn v4.2s, v19.2d + umulh x8, x9, x13 + rev64 v20.4s, v23.4s + umull v16.2d, v19.2s, v19.2s + umull v1.2d, v29.2s, v4.2s + mul v20.4s, v20.4s, v0.4s + subs x14, x9, x13 + umulh x15, x9, x1 + mov x16, v16.d[1] + umull2 v4.2d, v19.4s, v19.4s + mov x4, v16.d[0] + uzp1 v17.4s, v23.4s, v0.4s + uaddlp v19.2d, v20.4s + lsr x7, x8, #63 + mul x11, x9, x13 + mov x12, v1.d[0] + csetm x5, cc + cneg x6, x14, cc + mov x3, v4.d[1] + mov x14, v4.d[0] + subs x2, x10, x1 + mov x9, v1.d[1] + cneg x17, x2, cc + cinv x2, x5, cc + adds x5, x4, x12, lsl #33 + extr x4, x8, x11, #63 + lsr x8, x12, #31 + uzp1 v20.4s, v0.4s, v0.4s + shl v19.2d, v19.2d, #32 + adc x16, x16, x8 + adds x8, x14, x9, lsl #33 + lsr x14, x9, #31 + lsl x9, x5, #32 + umlal v19.2d, v20.2s, v17.2s + adc x14, x3, x14 + adds x16, x16, x11, lsl #1 + lsr x3, x5, #32 + umulh x12, x6, x17 + adcs x4, x8, x4 + adc x11, x14, x7 + subs x8, x5, x9 + sbc x5, x5, x3 + adds x16, x16, x9 + mov x14, v19.d[0] + mul x17, x6, x17 + adcs x3, x4, x3 + lsl x7, x16, #32 + umulh x13, x13, x10 + adcs x11, x11, x8 + lsr x8, x16, #32 + adc x5, x5, xzr + subs x9, x16, x7 + sbc x16, x16, x8 + adds x7, x3, x7 + mov x3, v19.d[1] + adcs x6, x11, x8 + umulh x11, x1, x10 + adcs x5, x5, x9 + eor x8, x12, x2 + adc x9, x16, xzr + adds x16, x14, x15 + adc x15, x15, xzr + adds x12, x16, x3 + eor x16, x17, x2 + mul x4, x1, x10 + adcs x15, x15, x13 + adc x17, x13, xzr + adds x15, x15, x3 + adc x3, x17, xzr + cmn x2, #0x1 + mul x17, x10, x10 + adcs x12, x12, x16 + adcs x16, x15, x8 + umulh x10, x10, x10 + adc x2, x3, x2 + adds x14, x14, x14 + adcs x12, x12, x12 + adcs x16, x16, x16 + adcs x2, x2, x2 + adc x15, xzr, xzr + adds x14, x14, x7 + mul x3, x1, x1 + adcs x12, x12, x6 + lsr x7, x14, #32 + adcs x16, x16, x5 + lsl x5, x14, #32 + umulh x13, x1, x1 + adcs x2, x2, x9 + mov x6, #0xffffffff + adc x15, x15, xzr + adds x8, x4, x4 + adcs x1, x11, x11 + mov x11, #0xffffffff00000001 + adc x4, xzr, xzr + subs x9, x14, x5 + sbc x14, x14, x7 + adds x12, x12, x5 + adcs x16, x16, x7 + lsl x5, x12, #32 + lsr x7, x12, #32 + adcs x2, x2, x9 + adcs x14, x15, x14 + adc x15, xzr, xzr + subs x9, x12, x5 + sbc x12, x12, x7 + adds x16, x16, x5 + adcs x2, x2, x7 + adcs x14, x14, x9 + adcs x12, x15, x12 + adc x15, xzr, xzr + adds x16, x16, x3 + adcs x2, x2, x13 + adcs x14, x14, x17 + adcs x12, x12, x10 + adc x15, x15, xzr + adds x2, x2, x8 + adcs x14, x14, x1 + adcs x12, x12, x4 + adcs x15, x15, xzr + adds x3, x16, #0x1 + sbcs x5, x2, x6 + sbcs x8, x14, xzr + sbcs x11, x12, x11 + sbcs xzr, x15, xzr + csel x16, x3, x16, cs + csel x14, x8, x14, cs + csel x12, x11, x12, cs + csel x2, x5, x2, cs + stp x14, x12, [sp, #176] + stp x16, x2, [sp, #160] + ldr q20, [x22, #32] + ldp x7, x17, [x23, #64] + ldr q0, [x23, #64] + ldp x6, x10, [x22, #32] + ldp x11, x15, [x23, #80] + rev64 v16.4s, v20.4s + subs x4, x7, x17 + csetm x3, cc + cneg x13, x4, cc + mul v16.4s, v16.4s, v0.4s + umulh x12, x17, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x7 + ldr q20, [x22, #48] + sbcs x5, x15, x17 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x7, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc + shl v17.2d, v27.2d, #32 + csetm x15, cc + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc + cinv x9, x3, cc + cmn x17, #0x1 + ldr q28, [x23, #80] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [x22, #48] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc + cneg x6, x6, cc + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x24, x3, x13 + adcs x25, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x26, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x27, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x24 + adcs x15, x16, x25 + eor x5, x17, x4 + adcs x9, x1, x26 + eor x1, x10, x5 + adcs x16, x2, x27 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 + adds x11, x11, x13 + and x1, x1, x13 + adcs x4, x4, x1 + and x1, x12, x13 + stp x11, x4, [sp, #192] + adcs x4, x7, xzr + adc x1, x17, x1 + stp x4, x1, [sp, #208] + ldr q20, [x23, #32] + ldp x7, x17, [x22, #64] + ldr q0, [x22, #64] + ldp x6, x10, [x23, #32] + ldp x11, x15, [x22, #80] + rev64 v16.4s, v20.4s + subs x4, x7, x17 + csetm x3, cc + cneg x13, x4, cc + mul v16.4s, v16.4s, v0.4s + umulh x12, x17, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x7 + ldr q20, [x23, #48] + sbcs x5, x15, x17 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x7, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc + shl v17.2d, v27.2d, #32 + csetm x15, cc + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc + cinv x9, x3, cc + cmn x17, #0x1 + ldr q28, [x22, #80] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [x23, #48] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc + cneg x6, x6, cc + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x24, x3, x13 + adcs x25, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x26, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x27, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x24 + adcs x15, x16, x25 + eor x5, x17, x4 + adcs x9, x1, x26 + eor x1, x10, x5 + adcs x16, x2, x27 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 + adds x24, x11, x13 + and x1, x1, x13 + adcs x25, x4, x1 + and x1, x12, x13 + stp x24, x25, [sp, #32] + adcs x4, x7, xzr + adc x1, x17, x1 + stp x4, x1, [sp, #48] + mov x1, sp + ldr q20, [x23, #0] + ldr q0, [x1] + ldp x6, x10, [x23, #0] + ldp x11, x15, [x1, #16] + rev64 v16.4s, v20.4s + subs x4, x19, x20 + csetm x3, cc + cneg x13, x4, cc + mul v16.4s, v16.4s, v0.4s + umulh x12, x20, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x19 + ldr q20, [x23, #16] + sbcs x5, x15, x20 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x19, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc + shl v17.2d, v27.2d, #32 + csetm x15, cc + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc + cinv x9, x3, cc + cmn x17, #0x1 + ldr q28, [x1, #16] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [x23, #16] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc + cneg x6, x6, cc + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x19, x3, x13 + adcs x20, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x26, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x27, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x19 + adcs x15, x16, x20 + eor x5, x17, x4 + adcs x9, x1, x26 + eor x1, x10, x5 + adcs x16, x2, x27 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 + adds x11, x11, x13 + and x1, x1, x13 + adcs x4, x4, x1 + and x1, x12, x13 + stp x11, x4, [sp, #64] + adcs x4, x7, xzr + adc x1, x17, x1 + stp x4, x1, [sp, #80] + ldr q20, [x22, #0] + ldp x7, x17, [sp, #160] + ldr q0, [sp, #160] + ldp x6, x10, [x22, #0] + ldp x11, x15, [sp, #176] + rev64 v16.4s, v20.4s + subs x4, x7, x17 + csetm x3, cc + cneg x13, x4, cc + mul v16.4s, v16.4s, v0.4s + umulh x12, x17, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x7 + ldr q20, [x22, #16] + sbcs x5, x15, x17 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x7, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc + shl v17.2d, v27.2d, #32 + csetm x15, cc + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc + cinv x9, x3, cc + cmn x17, #0x1 + ldr q28, [sp, #176] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [x22, #16] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc + cneg x6, x6, cc + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x19, x3, x13 + adcs x20, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x26, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x27, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x19 + adcs x15, x16, x20 + eor x5, x17, x4 + adcs x9, x1, x26 + eor x1, x10, x5 + adcs x16, x2, x27 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 + adds x11, x11, x13 + and x1, x1, x13 + adcs x4, x4, x1 + and x1, x12, x13 + stp x11, x4, [sp, #128] + adcs x4, x7, xzr + adc x1, x17, x1 + stp x4, x1, [sp, #144] + mov x1, sp + ldr q20, [sp, #32] + ldp x7, x17, [x1] + ldr q0, [x1] + ldp x11, x15, [x1, #16] + rev64 v16.4s, v20.4s + subs x4, x7, x17 + csetm x3, cc + cneg x13, x4, cc + mul v16.4s, v16.4s, v0.4s + umulh x12, x17, x25 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x7 + ldr q20, [sp, #48] + sbcs x5, x15, x17 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x7, x24 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc + shl v17.2d, v27.2d, #32 + csetm x15, cc + subs x9, x25, x24 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc + cinv x9, x3, cc + cmn x17, #0x1 + ldr q28, [x1, #16] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [sp, #48] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x24, x7 + sbcs x9, x25, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc + cneg x6, x6, cc + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x19, x3, x13 + adcs x20, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x24, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x25, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x19 + adcs x15, x16, x20 + eor x5, x17, x4 + adcs x9, x1, x24 + eor x1, x10, x5 + adcs x16, x2, x25 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 + adds x19, x11, x13 + and x1, x1, x13 + adcs x20, x4, x1 + and x1, x12, x13 + adcs x4, x7, xzr + adc x1, x17, x1 + stp x4, x1, [sp, #48] + ldr q20, [sp, #192] + ldp x7, x17, [sp, #160] + ldr q0, [sp, #160] + ldp x6, x10, [sp, #192] + ldp x11, x15, [sp, #176] + rev64 v16.4s, v20.4s + subs x4, x7, x17 + csetm x3, cc + cneg x13, x4, cc + mul v16.4s, v16.4s, v0.4s + umulh x12, x17, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x7 + ldr q20, [sp, #208] + sbcs x5, x15, x17 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x7, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc + shl v17.2d, v27.2d, #32 + csetm x15, cc + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc + cinv x9, x3, cc + cmn x17, #0x1 + ldr q28, [sp, #176] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [sp, #208] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc + cneg x6, x6, cc + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x24, x3, x13 + adcs x25, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x26, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x27, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x24 + adcs x15, x16, x25 + eor x5, x17, x4 + adcs x9, x1, x26 + eor x1, x10, x5 + adcs x16, x2, x27 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 + adds x9, x11, x13 + and x1, x1, x13 + adcs x10, x4, x1 + and x1, x12, x13 + stp x9, x10, [sp, #192] + adcs x11, x7, xzr + adc x12, x17, x1 + stp x11, x12, [sp, #208] + ldp x5, x6, [sp, #64] + ldp x4, x3, [sp, #128] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #80] + ldp x4, x3, [sp, #144] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x13, x5, x3 + and x4, x3, #0xffffffff + adcs x24, x6, x4 + adcs x25, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x26, x8, x4 + stp x13, x24, [sp, #160] + stp x25, x26, [sp, #176] + subs x5, x19, x9 + sbcs x6, x20, x10 + ldp x7, x8, [sp, #48] + sbcs x7, x7, x11 + sbcs x8, x8, x12 + csetm x3, cc + adds x19, x5, x3 + and x4, x3, #0xffffffff + adcs x20, x6, x4 + adcs x7, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x8, x8, x4 + stp x19, x20, [sp, #32] + stp x7, x8, [sp, #48] + ldr q19, [sp, #160] + ldr q23, [sp, #176] + ldr q0, [sp, #160] + uzp2 v29.4s, v19.4s, v19.4s + xtn v4.2s, v19.2d + umulh x8, x13, x24 + rev64 v20.4s, v23.4s + umull v16.2d, v19.2s, v19.2s + umull v1.2d, v29.2s, v4.2s + mul v20.4s, v20.4s, v0.4s + subs x14, x13, x24 + umulh x15, x13, x25 + mov x16, v16.d[1] + umull2 v4.2d, v19.4s, v19.4s + mov x4, v16.d[0] + uzp1 v17.4s, v23.4s, v0.4s + uaddlp v19.2d, v20.4s + lsr x7, x8, #63 + mul x11, x13, x24 + mov x12, v1.d[0] + csetm x5, cc + cneg x6, x14, cc + mov x3, v4.d[1] + mov x14, v4.d[0] + subs x2, x26, x25 + mov x9, v1.d[1] + cneg x17, x2, cc + cinv x2, x5, cc + adds x5, x4, x12, lsl #33 + extr x4, x8, x11, #63 + lsr x8, x12, #31 + uzp1 v20.4s, v0.4s, v0.4s + shl v19.2d, v19.2d, #32 + adc x16, x16, x8 + adds x8, x14, x9, lsl #33 + lsr x14, x9, #31 + lsl x9, x5, #32 + umlal v19.2d, v20.2s, v17.2s + adc x14, x3, x14 + adds x16, x16, x11, lsl #1 + lsr x3, x5, #32 + umulh x12, x6, x17 + adcs x4, x8, x4 + adc x11, x14, x7 + subs x8, x5, x9 + sbc x5, x5, x3 + adds x16, x16, x9 + mov x14, v19.d[0] + mul x17, x6, x17 + adcs x3, x4, x3 + lsl x7, x16, #32 + umulh x13, x24, x26 + adcs x11, x11, x8 + lsr x8, x16, #32 + adc x5, x5, xzr + subs x9, x16, x7 + sbc x16, x16, x8 + adds x7, x3, x7 + mov x3, v19.d[1] + adcs x6, x11, x8 + umulh x11, x25, x26 + adcs x5, x5, x9 + eor x8, x12, x2 + adc x9, x16, xzr + adds x16, x14, x15 + adc x15, x15, xzr + adds x12, x16, x3 + eor x16, x17, x2 + mul x4, x25, x26 + adcs x15, x15, x13 + adc x17, x13, xzr + adds x15, x15, x3 + adc x3, x17, xzr + cmn x2, #0x1 + mul x17, x26, x26 + adcs x12, x12, x16 + adcs x16, x15, x8 + umulh x10, x26, x26 + adc x2, x3, x2 + adds x14, x14, x14 + adcs x12, x12, x12 + adcs x16, x16, x16 + adcs x2, x2, x2 + adc x15, xzr, xzr + adds x14, x14, x7 + mul x3, x25, x25 + adcs x12, x12, x6 + lsr x7, x14, #32 + adcs x16, x16, x5 + lsl x5, x14, #32 + umulh x13, x25, x25 + adcs x2, x2, x9 + mov x6, #0xffffffff + adc x15, x15, xzr + adds x8, x4, x4 + adcs x1, x11, x11 + mov x11, #0xffffffff00000001 + adc x4, xzr, xzr + subs x9, x14, x5 + sbc x14, x14, x7 + adds x12, x12, x5 + adcs x16, x16, x7 + lsl x5, x12, #32 + lsr x7, x12, #32 + adcs x2, x2, x9 + adcs x14, x15, x14 + adc x15, xzr, xzr + subs x9, x12, x5 + sbc x12, x12, x7 + adds x16, x16, x5 + adcs x2, x2, x7 + adcs x14, x14, x9 + adcs x12, x15, x12 + adc x15, xzr, xzr + adds x16, x16, x3 + adcs x2, x2, x13 + adcs x14, x14, x17 + adcs x12, x12, x10 + adc x15, x15, xzr + adds x2, x2, x8 + adcs x14, x14, x1 + adcs x12, x12, x4 + adcs x15, x15, xzr + adds x3, x16, #0x1 + sbcs x5, x2, x6 + sbcs x8, x14, xzr + sbcs x11, x12, x11 + sbcs xzr, x15, xzr + csel x24, x3, x16, cs + csel x25, x8, x14, cs + csel x26, x11, x12, cs + csel x27, x5, x2, cs + stp x25, x26, [sp, #112] + stp x24, x27, [sp, #96] + mov x0, sp + ldr q19, [sp, #32] + ldr q23, [sp, #48] + ldr q0, [sp, #32] + ldp x1, x10, [sp, #48] + uzp2 v29.4s, v19.4s, v19.4s + xtn v4.2s, v19.2d + umulh x8, x19, x20 + rev64 v20.4s, v23.4s + umull v16.2d, v19.2s, v19.2s + umull v1.2d, v29.2s, v4.2s + mul v20.4s, v20.4s, v0.4s + subs x14, x19, x20 + umulh x15, x19, x1 + mov x16, v16.d[1] + umull2 v4.2d, v19.4s, v19.4s + mov x4, v16.d[0] + uzp1 v17.4s, v23.4s, v0.4s + uaddlp v19.2d, v20.4s + lsr x7, x8, #63 + mul x11, x19, x20 + mov x12, v1.d[0] + csetm x5, cc + cneg x6, x14, cc + mov x3, v4.d[1] + mov x14, v4.d[0] + subs x2, x10, x1 + mov x9, v1.d[1] + cneg x17, x2, cc + cinv x2, x5, cc + adds x5, x4, x12, lsl #33 + extr x4, x8, x11, #63 + lsr x8, x12, #31 + uzp1 v20.4s, v0.4s, v0.4s + shl v19.2d, v19.2d, #32 + adc x16, x16, x8 + adds x8, x14, x9, lsl #33 + lsr x14, x9, #31 + lsl x9, x5, #32 + umlal v19.2d, v20.2s, v17.2s + adc x14, x3, x14 + adds x16, x16, x11, lsl #1 + lsr x3, x5, #32 + umulh x12, x6, x17 + adcs x4, x8, x4 + adc x11, x14, x7 + subs x8, x5, x9 + sbc x5, x5, x3 + adds x16, x16, x9 + mov x14, v19.d[0] + mul x17, x6, x17 + adcs x3, x4, x3 + lsl x7, x16, #32 + umulh x13, x20, x10 + adcs x11, x11, x8 + lsr x8, x16, #32 + adc x5, x5, xzr + subs x9, x16, x7 + sbc x16, x16, x8 + adds x7, x3, x7 + mov x3, v19.d[1] + adcs x6, x11, x8 + umulh x11, x1, x10 + adcs x5, x5, x9 + eor x8, x12, x2 + adc x9, x16, xzr + adds x16, x14, x15 + adc x15, x15, xzr + adds x12, x16, x3 + eor x16, x17, x2 + mul x4, x1, x10 + adcs x15, x15, x13 + adc x17, x13, xzr + adds x15, x15, x3 + adc x3, x17, xzr + cmn x2, #0x1 + mul x17, x10, x10 + adcs x12, x12, x16 + adcs x16, x15, x8 + umulh x10, x10, x10 + adc x2, x3, x2 + adds x14, x14, x14 + adcs x12, x12, x12 + adcs x16, x16, x16 + adcs x2, x2, x2 + adc x15, xzr, xzr + adds x14, x14, x7 + mul x3, x1, x1 + adcs x12, x12, x6 + lsr x7, x14, #32 + adcs x16, x16, x5 + lsl x5, x14, #32 + umulh x13, x1, x1 + adcs x2, x2, x9 + mov x6, #0xffffffff + adc x15, x15, xzr + adds x8, x4, x4 + adcs x1, x11, x11 + mov x11, #0xffffffff00000001 + adc x4, xzr, xzr + subs x9, x14, x5 + sbc x14, x14, x7 + adds x12, x12, x5 + adcs x16, x16, x7 + lsl x5, x12, #32 + lsr x7, x12, #32 + adcs x2, x2, x9 + adcs x14, x15, x14 + adc x15, xzr, xzr + subs x9, x12, x5 + sbc x12, x12, x7 + adds x16, x16, x5 + adcs x2, x2, x7 + adcs x14, x14, x9 + adcs x12, x15, x12 + adc x15, xzr, xzr + adds x16, x16, x3 + adcs x2, x2, x13 + adcs x14, x14, x17 + adcs x12, x12, x10 + adc x15, x15, xzr + adds x2, x2, x8 + adcs x14, x14, x1 + adcs x12, x12, x4 + adcs x15, x15, xzr + adds x3, x16, #0x1 + sbcs x5, x2, x6 + sbcs x8, x14, xzr + sbcs x11, x12, x11 + sbcs xzr, x15, xzr + csel x16, x3, x16, cs + csel x14, x8, x14, cs + csel x12, x11, x12, cs + csel x2, x5, x2, cs + stp x14, x12, [x0, #16] + stp x16, x2, [x0] + ldr q20, [sp, #128] + ldr q0, [sp, #96] + ldp x6, x10, [sp, #128] + rev64 v16.4s, v20.4s + subs x4, x24, x27 + csetm x3, cc + cneg x13, x4, cc + mul v16.4s, v16.4s, v0.4s + umulh x12, x27, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x25, x24 + ldr q20, [sp, #144] + sbcs x5, x26, x27 + ngc x17, xzr + subs x8, x25, x26 + uaddlp v27.2d, v16.4s + umulh x4, x24, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc + shl v17.2d, v27.2d, #32 + csetm x15, cc + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc + cinv x9, x3, cc + cmn x17, #0x1 + ldr q28, [sp, #112] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [sp, #144] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc + cneg x6, x6, cc + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x19, x3, x13 + adcs x20, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x25, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x26, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x19 + adcs x15, x16, x20 + eor x5, x17, x4 + adcs x9, x1, x25 + eor x1, x10, x5 + adcs x16, x2, x26 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 + adds x19, x11, x13 + and x1, x1, x13 + adcs x20, x4, x1 + and x1, x12, x13 + stp x19, x20, [sp, #128] + adcs x4, x7, xzr + adc x1, x17, x1 + stp x4, x1, [sp, #144] + ldr q20, [sp, #64] + ldr q0, [sp, #96] + ldp x6, x10, [sp, #64] + ldp x11, x15, [sp, #112] + rev64 v16.4s, v20.4s + subs x4, x24, x27 + csetm x3, cc + cneg x13, x4, cc + mul v16.4s, v16.4s, v0.4s + umulh x12, x27, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x24 + ldr q20, [sp, #80] + sbcs x5, x15, x27 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x24, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc + shl v17.2d, v27.2d, #32 + csetm x15, cc + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc + cinv x9, x3, cc + cmn x17, #0x1 + ldr q28, [sp, #112] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [sp, #80] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc + cneg x6, x6, cc + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x24, x3, x13 + adcs x25, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x26, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x27, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x24 + adcs x15, x16, x25 + eor x5, x17, x4 + adcs x9, x1, x26 + eor x1, x10, x5 + adcs x16, x2, x27 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 + adds x9, x11, x13 + and x1, x1, x13 + adcs x10, x4, x1 + and x1, x12, x13 + stp x9, x10, [sp, #64] + adcs x11, x7, xzr + adc x12, x17, x1 + stp x11, x12, [sp, #80] + mov x0, sp + mov x1, sp + ldp x5, x6, [x1] + subs x5, x5, x19 + sbcs x6, x6, x20 + ldp x7, x8, [x1, #16] + ldp x4, x3, [sp, #144] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x24, x5, x3 + and x4, x3, #0xffffffff + adcs x25, x6, x4 + adcs x7, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x8, x8, x4 + stp x7, x8, [x0, #16] + subs x5, x9, x19 + sbcs x6, x10, x20 + ldp x4, x3, [sp, #144] + sbcs x7, x11, x4 + sbcs x8, x12, x3 + csetm x3, cc + adds x5, x5, x3 + and x4, x3, #0xffffffff + adcs x6, x6, x4 + adcs x7, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x8, x8, x4 + stp x5, x6, [sp, #96] + stp x7, x8, [sp, #112] + ldr q20, [x22, #64] + ldp x7, x17, [sp, #160] + ldr q0, [sp, #160] + ldp x6, x10, [x22, #64] + ldp x11, x15, [sp, #176] + rev64 v16.4s, v20.4s + subs x4, x7, x17 + csetm x3, cc + cneg x13, x4, cc + mul v16.4s, v16.4s, v0.4s + umulh x12, x17, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x7 + ldr q20, [x22, #80] + sbcs x5, x15, x17 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x7, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc + shl v17.2d, v27.2d, #32 + csetm x15, cc + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc + cinv x9, x3, cc + cmn x17, #0x1 + ldr q28, [sp, #176] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [x22, #80] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc + cneg x6, x6, cc + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x19, x3, x13 + adcs x20, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x26, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x27, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x19 + adcs x15, x16, x20 + eor x5, x17, x4 + adcs x9, x1, x26 + eor x1, x10, x5 + adcs x16, x2, x27 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 + adds x11, x11, x13 + and x1, x1, x13 + adcs x4, x4, x1 + and x1, x12, x13 + stp x11, x4, [sp, #160] + adcs x19, x7, xzr + adc x20, x17, x1 + stp x19, x20, [sp, #176] + mov x0, sp + mov x1, sp + ldp x4, x3, [sp, #64] + subs x5, x24, x4 + sbcs x6, x25, x3 + ldp x7, x8, [x1, #16] + ldp x4, x3, [sp, #80] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x9, x5, x3 + and x4, x3, #0xffffffff + adcs x10, x6, x4 + adcs x11, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x3, x8, x4 + stp x9, x10, [x0] + stp x11, x3, [x0, #16] + ldp x5, x6, [sp, #128] + subs x5, x5, x9 + sbcs x6, x6, x10 + ldp x7, x8, [sp, #144] + sbcs x7, x7, x11 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + and x4, x3, #0xffffffff + adcs x6, x6, x4 + adcs x7, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x8, x8, x4 + stp x5, x6, [sp, #128] + stp x7, x8, [sp, #144] + ldr q20, [sp, #192] + ldp x7, x17, [sp, #96] + ldr q0, [sp, #96] + ldp x6, x10, [sp, #192] + ldp x11, x15, [sp, #112] + rev64 v16.4s, v20.4s + subs x4, x7, x17 + csetm x3, cc + cneg x13, x4, cc + mul v16.4s, v16.4s, v0.4s + umulh x12, x17, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x7 + ldr q20, [sp, #208] + sbcs x5, x15, x17 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x7, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc + shl v17.2d, v27.2d, #32 + csetm x15, cc + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc + cinv x9, x3, cc + cmn x17, #0x1 + ldr q28, [sp, #112] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [sp, #208] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc + cneg x6, x6, cc + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x24, x3, x13 + adcs x25, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x26, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x27, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x24 + adcs x15, x16, x25 + eor x5, x17, x4 + adcs x9, x1, x26 + eor x1, x10, x5 + adcs x16, x2, x27 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 + adds x11, x11, x13 + and x1, x1, x13 + adcs x4, x4, x1 + and x1, x12, x13 + stp x11, x4, [sp, #96] + adcs x4, x7, xzr + adc x1, x17, x1 + stp x4, x1, [sp, #112] + ldr q20, [x23, #64] + ldp x7, x17, [sp, #160] + ldr q0, [sp, #160] + ldp x6, x10, [x23, #64] + rev64 v16.4s, v20.4s + subs x4, x7, x17 + csetm x3, cc + cneg x13, x4, cc + mul v16.4s, v16.4s, v0.4s + umulh x12, x17, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x19, x7 + ldr q20, [x23, #80] + sbcs x5, x20, x17 + ngc x17, xzr + subs x8, x19, x20 + uaddlp v27.2d, v16.4s + umulh x4, x7, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc + shl v17.2d, v27.2d, #32 + csetm x15, cc + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc + cinv x9, x3, cc + cmn x17, #0x1 + ldr q28, [sp, #176] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [x23, #80] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc + cneg x6, x6, cc + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x19, x3, x13 + adcs x20, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x24, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x25, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x19 + adcs x15, x16, x20 + eor x5, x17, x4 + adcs x9, x1, x24 + eor x1, x10, x5 + adcs x16, x2, x25 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 + adds x19, x11, x13 + and x1, x1, x13 + adcs x20, x4, x1 + and x1, x12, x13 + stp x19, x20, [sp, #160] + adcs x4, x7, xzr + adc x1, x17, x1 + stp x4, x1, [sp, #176] + ldr q20, [sp, #128] + ldp x7, x17, [sp, #32] + ldr q0, [sp, #32] + ldp x6, x10, [sp, #128] + ldp x11, x15, [sp, #48] + rev64 v16.4s, v20.4s + subs x4, x7, x17 + csetm x3, cc + cneg x13, x4, cc + mul v16.4s, v16.4s, v0.4s + umulh x12, x17, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x7 + ldr q20, [sp, #144] + sbcs x5, x15, x17 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x7, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc + shl v17.2d, v27.2d, #32 + csetm x15, cc + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc + cinv x9, x3, cc + cmn x17, #0x1 + ldr q28, [sp, #48] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [sp, #144] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc + cneg x6, x6, cc + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x24, x3, x13 + adcs x25, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x26, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x27, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x24 + adcs x15, x16, x25 + eor x5, x17, x4 + adcs x9, x1, x26 + eor x1, x10, x5 + adcs x16, x2, x27 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 + adds x5, x11, x13 + and x1, x1, x13 + adcs x6, x4, x1 + and x1, x12, x13 + adcs x7, x7, xzr + adc x9, x17, x1 + ldp x4, x3, [sp, #96] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x4, x3, [sp, #112] + sbcs x7, x7, x4 + sbcs x8, x9, x3 + csetm x3, cc + adds x15, x5, x3 + and x4, x3, #0xffffffff + adcs x24, x6, x4 + adcs x25, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x26, x8, x4 + stp x15, x24, [sp, #128] + stp x25, x26, [sp, #144] + ldp x0, x1, [x22, #64] + ldp x2, x3, [x22, #80] + orr x12, x0, x1 + orr x13, x2, x3 + orr x12, x12, x13 + cmp x12, xzr + cset x12, ne + ldp x4, x5, [x23, #64] + ldp x6, x7, [x23, #80] + orr x13, x4, x5 + orr x14, x6, x7 + orr x13, x13, x14 + cmp x13, xzr + cset x13, ne + cmp x13, x12 + csel x8, x0, x19, cc + csel x9, x1, x20, cc + csel x8, x4, x8, hi + csel x9, x5, x9, hi + ldp x10, x11, [sp, #176] + csel x10, x2, x10, cc + csel x11, x3, x11, cc + csel x10, x6, x10, hi + csel x11, x7, x11, hi + ldp x12, x13, [x22] + ldp x0, x1, [sp] + csel x0, x12, x0, cc + csel x1, x13, x1, cc + ldp x12, x13, [x23] + csel x0, x12, x0, hi + csel x1, x13, x1, hi + ldp x12, x13, [x22, #16] + ldp x2, x3, [sp, #16] + csel x2, x12, x2, cc + csel x3, x13, x3, cc + ldp x12, x13, [x23, #16] + csel x2, x12, x2, hi + csel x3, x13, x3, hi + ldp x12, x13, [x22, #32] + csel x4, x12, x15, cc + csel x5, x13, x24, cc + ldp x12, x13, [x23, #32] + csel x4, x12, x4, hi + csel x5, x13, x5, hi + ldp x12, x13, [x22, #48] + csel x6, x12, x25, cc + csel x7, x13, x26, cc + ldp x12, x13, [x23, #48] + csel x6, x12, x6, hi + csel x7, x13, x7, hi + stp x0, x1, [x21] + stp x2, x3, [x21, #16] + stp x4, x5, [x21, #32] + stp x6, x7, [x21, #48] + stp x8, x9, [x21, #64] + stp x10, x11, [x21, #80] + + CFI_INC_SP(NSPACE) + CFI_POP2(x27,x30) + CFI_POP2(x25,x26) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p256_montjadd) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/arm/p256_montjadd_alt.S b/cbits/s2n/arm/p256_montjadd_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/p256_montjadd_alt.S @@ -0,0 +1,555 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Point addition on NIST curve P-256 in Montgomery-Jacobian coordinates +// +// extern void p256_montjadd_alt(uint64_t p3[static 12], +// const uint64_t p1[static 12], +// const uint64_t p2[static 12]); +// +// Does p3 := p1 + p2 where all points are regarded as Jacobian triples with +// each coordinate in the Montgomery domain, i.e. x' = (2^256 * x) mod p_256. +// A Jacobian triple (x',y',z') represents affine point (x/z^2,y/z^3). +// +// Standard ARM ABI: X0 = p3, X1 = p1, X2 = p2 +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p256_montjadd_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p256_montjadd_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p256_montjadd_alt) + + .text + .balign 4 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Stable homes for input arguments during main code sequence + +#define input_z x15 +#define input_x x16 +#define input_y x17 + +// Pointer-offset pairs for inputs and outputs + +#define x_1 input_x, #0 +#define y_1 input_x, #NUMSIZE +#define z_1 input_x, #(2*NUMSIZE) + +#define x_2 input_y, #0 +#define y_2 input_y, #NUMSIZE +#define z_2 input_y, #(2*NUMSIZE) + +#define x_3 input_z, #0 +#define y_3 input_z, #NUMSIZE +#define z_3 input_z, #(2*NUMSIZE) + +// Pointer-offset pairs for temporaries, with some aliasing +// #NSPACE is the total stack needed for these temporaries + +#define z1sq sp, #(NUMSIZE*0) +#define ww sp, #(NUMSIZE*0) +#define resx sp, #(NUMSIZE*0) + +#define yd sp, #(NUMSIZE*1) +#define y2a sp, #(NUMSIZE*1) + +#define x2a sp, #(NUMSIZE*2) +#define zzx2 sp, #(NUMSIZE*2) + +#define zz sp, #(NUMSIZE*3) +#define t1 sp, #(NUMSIZE*3) + +#define t2 sp, #(NUMSIZE*4) +#define x1a sp, #(NUMSIZE*4) +#define zzx1 sp, #(NUMSIZE*4) +#define resy sp, #(NUMSIZE*4) + +#define xd sp, #(NUMSIZE*5) +#define z2sq sp, #(NUMSIZE*5) +#define resz sp, #(NUMSIZE*5) + +#define y1a sp, #(NUMSIZE*6) + +#define NSPACE NUMSIZE*7 + +// Corresponds to bignum_montmul_p256_alt except registers + +#define montmul_p256(P0,P1,P2) \ + ldp x3, x4, [P1] __LF \ + ldp x7, x8, [P2] __LF \ + mul x12, x3, x7 __LF \ + umulh x13, x3, x7 __LF \ + mul x11, x3, x8 __LF \ + umulh x14, x3, x8 __LF \ + adds x13, x13, x11 __LF \ + ldp x9, x10, [P2+16] __LF \ + mul x11, x3, x9 __LF \ + umulh x0, x3, x9 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x3, x10 __LF \ + umulh x1, x3, x10 __LF \ + adcs x0, x0, x11 __LF \ + adc x1, x1, xzr __LF \ + ldp x5, x6, [P1+16] __LF \ + mul x11, x4, x7 __LF \ + adds x13, x13, x11 __LF \ + mul x11, x4, x8 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x4, x9 __LF \ + adcs x0, x0, x11 __LF \ + mul x11, x4, x10 __LF \ + adcs x1, x1, x11 __LF \ + umulh x3, x4, x10 __LF \ + adc x3, x3, xzr __LF \ + umulh x11, x4, x7 __LF \ + adds x14, x14, x11 __LF \ + umulh x11, x4, x8 __LF \ + adcs x0, x0, x11 __LF \ + umulh x11, x4, x9 __LF \ + adcs x1, x1, x11 __LF \ + adc x3, x3, xzr __LF \ + mul x11, x5, x7 __LF \ + adds x14, x14, x11 __LF \ + mul x11, x5, x8 __LF \ + adcs x0, x0, x11 __LF \ + mul x11, x5, x9 __LF \ + adcs x1, x1, x11 __LF \ + mul x11, x5, x10 __LF \ + adcs x3, x3, x11 __LF \ + umulh x4, x5, x10 __LF \ + adc x4, x4, xzr __LF \ + umulh x11, x5, x7 __LF \ + adds x0, x0, x11 __LF \ + umulh x11, x5, x8 __LF \ + adcs x1, x1, x11 __LF \ + umulh x11, x5, x9 __LF \ + adcs x3, x3, x11 __LF \ + adc x4, x4, xzr __LF \ + mul x11, x6, x7 __LF \ + adds x0, x0, x11 __LF \ + mul x11, x6, x8 __LF \ + adcs x1, x1, x11 __LF \ + mul x11, x6, x9 __LF \ + adcs x3, x3, x11 __LF \ + mul x11, x6, x10 __LF \ + adcs x4, x4, x11 __LF \ + umulh x5, x6, x10 __LF \ + adc x5, x5, xzr __LF \ + mov x10, #0xffffffff00000001 __LF \ + adds x13, x13, x12, lsl #32 __LF \ + lsr x11, x12, #32 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x12, x10 __LF \ + umulh x12, x12, x10 __LF \ + adcs x0, x0, x11 __LF \ + adc x12, x12, xzr __LF \ + umulh x11, x6, x7 __LF \ + adds x1, x1, x11 __LF \ + umulh x11, x6, x8 __LF \ + adcs x3, x3, x11 __LF \ + umulh x11, x6, x9 __LF \ + adcs x4, x4, x11 __LF \ + adc x5, x5, xzr __LF \ + adds x14, x14, x13, lsl #32 __LF \ + lsr x11, x13, #32 __LF \ + adcs x0, x0, x11 __LF \ + mul x11, x13, x10 __LF \ + umulh x13, x13, x10 __LF \ + adcs x12, x12, x11 __LF \ + adc x13, x13, xzr __LF \ + adds x0, x0, x14, lsl #32 __LF \ + lsr x11, x14, #32 __LF \ + adcs x12, x12, x11 __LF \ + mul x11, x14, x10 __LF \ + umulh x14, x14, x10 __LF \ + adcs x13, x13, x11 __LF \ + adc x14, x14, xzr __LF \ + adds x12, x12, x0, lsl #32 __LF \ + lsr x11, x0, #32 __LF \ + adcs x13, x13, x11 __LF \ + mul x11, x0, x10 __LF \ + umulh x0, x0, x10 __LF \ + adcs x14, x14, x11 __LF \ + adc x0, x0, xzr __LF \ + adds x12, x12, x1 __LF \ + adcs x13, x13, x3 __LF \ + adcs x14, x14, x4 __LF \ + adcs x0, x0, x5 __LF \ + cset x8, cs __LF \ + mov x11, #0xffffffff __LF \ + adds x1, x12, #0x1 __LF \ + sbcs x3, x13, x11 __LF \ + sbcs x4, x14, xzr __LF \ + sbcs x5, x0, x10 __LF \ + sbcs xzr, x8, xzr __LF \ + csel x12, x12, x1, cc __LF \ + csel x13, x13, x3, cc __LF \ + csel x14, x14, x4, cc __LF \ + csel x0, x0, x5, cc __LF \ + stp x12, x13, [P0] __LF \ + stp x14, x0, [P0+16] + +// Corresponds exactly to bignum_montsqr_p256_alt + +#define montsqr_p256(P0,P1) \ + ldp x2, x3, [P1] __LF \ + mul x9, x2, x3 __LF \ + umulh x10, x2, x3 __LF \ + ldp x4, x5, [P1+16] __LF \ + mul x11, x2, x5 __LF \ + umulh x12, x2, x5 __LF \ + mul x6, x2, x4 __LF \ + umulh x7, x2, x4 __LF \ + adds x10, x10, x6 __LF \ + adcs x11, x11, x7 __LF \ + mul x6, x3, x4 __LF \ + umulh x7, x3, x4 __LF \ + adc x7, x7, xzr __LF \ + adds x11, x11, x6 __LF \ + mul x13, x4, x5 __LF \ + umulh x14, x4, x5 __LF \ + adcs x12, x12, x7 __LF \ + mul x6, x3, x5 __LF \ + umulh x7, x3, x5 __LF \ + adc x7, x7, xzr __LF \ + adds x12, x12, x6 __LF \ + adcs x13, x13, x7 __LF \ + adc x14, x14, xzr __LF \ + adds x9, x9, x9 __LF \ + adcs x10, x10, x10 __LF \ + adcs x11, x11, x11 __LF \ + adcs x12, x12, x12 __LF \ + adcs x13, x13, x13 __LF \ + adcs x14, x14, x14 __LF \ + cset x7, cs __LF \ + umulh x6, x2, x2 __LF \ + mul x8, x2, x2 __LF \ + adds x9, x9, x6 __LF \ + mul x6, x3, x3 __LF \ + adcs x10, x10, x6 __LF \ + umulh x6, x3, x3 __LF \ + adcs x11, x11, x6 __LF \ + mul x6, x4, x4 __LF \ + adcs x12, x12, x6 __LF \ + umulh x6, x4, x4 __LF \ + adcs x13, x13, x6 __LF \ + mul x6, x5, x5 __LF \ + adcs x14, x14, x6 __LF \ + umulh x6, x5, x5 __LF \ + adc x7, x7, x6 __LF \ + adds x9, x9, x8, lsl #32 __LF \ + lsr x3, x8, #32 __LF \ + adcs x10, x10, x3 __LF \ + mov x3, #0xffffffff00000001 __LF \ + mul x2, x8, x3 __LF \ + umulh x8, x8, x3 __LF \ + adcs x11, x11, x2 __LF \ + adc x8, x8, xzr __LF \ + adds x10, x10, x9, lsl #32 __LF \ + lsr x3, x9, #32 __LF \ + adcs x11, x11, x3 __LF \ + mov x3, #0xffffffff00000001 __LF \ + mul x2, x9, x3 __LF \ + umulh x9, x9, x3 __LF \ + adcs x8, x8, x2 __LF \ + adc x9, x9, xzr __LF \ + adds x11, x11, x10, lsl #32 __LF \ + lsr x3, x10, #32 __LF \ + adcs x8, x8, x3 __LF \ + mov x3, #0xffffffff00000001 __LF \ + mul x2, x10, x3 __LF \ + umulh x10, x10, x3 __LF \ + adcs x9, x9, x2 __LF \ + adc x10, x10, xzr __LF \ + adds x8, x8, x11, lsl #32 __LF \ + lsr x3, x11, #32 __LF \ + adcs x9, x9, x3 __LF \ + mov x3, #0xffffffff00000001 __LF \ + mul x2, x11, x3 __LF \ + umulh x11, x11, x3 __LF \ + adcs x10, x10, x2 __LF \ + adc x11, x11, xzr __LF \ + adds x8, x8, x12 __LF \ + adcs x9, x9, x13 __LF \ + adcs x10, x10, x14 __LF \ + adcs x11, x11, x7 __LF \ + cset x2, cs __LF \ + mov x3, #0xffffffff __LF \ + mov x5, #0xffffffff00000001 __LF \ + adds x12, x8, #0x1 __LF \ + sbcs x13, x9, x3 __LF \ + sbcs x14, x10, xzr __LF \ + sbcs x7, x11, x5 __LF \ + sbcs xzr, x2, xzr __LF \ + csel x8, x8, x12, cc __LF \ + csel x9, x9, x13, cc __LF \ + csel x10, x10, x14, cc __LF \ + csel x11, x11, x7, cc __LF \ + stp x8, x9, [P0] __LF \ + stp x10, x11, [P0+16] + +// Almost-Montgomery variant which we use when an input to other muls +// with the other argument fully reduced (which is always safe). + +#define amontsqr_p256(P0,P1) \ + ldp x2, x3, [P1] __LF \ + mul x9, x2, x3 __LF \ + umulh x10, x2, x3 __LF \ + ldp x4, x5, [P1+16] __LF \ + mul x11, x2, x5 __LF \ + umulh x12, x2, x5 __LF \ + mul x6, x2, x4 __LF \ + umulh x7, x2, x4 __LF \ + adds x10, x10, x6 __LF \ + adcs x11, x11, x7 __LF \ + mul x6, x3, x4 __LF \ + umulh x7, x3, x4 __LF \ + adc x7, x7, xzr __LF \ + adds x11, x11, x6 __LF \ + mul x13, x4, x5 __LF \ + umulh x14, x4, x5 __LF \ + adcs x12, x12, x7 __LF \ + mul x6, x3, x5 __LF \ + umulh x7, x3, x5 __LF \ + adc x7, x7, xzr __LF \ + adds x12, x12, x6 __LF \ + adcs x13, x13, x7 __LF \ + adc x14, x14, xzr __LF \ + adds x9, x9, x9 __LF \ + adcs x10, x10, x10 __LF \ + adcs x11, x11, x11 __LF \ + adcs x12, x12, x12 __LF \ + adcs x13, x13, x13 __LF \ + adcs x14, x14, x14 __LF \ + cset x7, cs __LF \ + umulh x6, x2, x2 __LF \ + mul x8, x2, x2 __LF \ + adds x9, x9, x6 __LF \ + mul x6, x3, x3 __LF \ + adcs x10, x10, x6 __LF \ + umulh x6, x3, x3 __LF \ + adcs x11, x11, x6 __LF \ + mul x6, x4, x4 __LF \ + adcs x12, x12, x6 __LF \ + umulh x6, x4, x4 __LF \ + adcs x13, x13, x6 __LF \ + mul x6, x5, x5 __LF \ + adcs x14, x14, x6 __LF \ + umulh x6, x5, x5 __LF \ + adc x7, x7, x6 __LF \ + adds x9, x9, x8, lsl #32 __LF \ + lsr x3, x8, #32 __LF \ + adcs x10, x10, x3 __LF \ + mov x3, #0xffffffff00000001 __LF \ + mul x2, x8, x3 __LF \ + umulh x8, x8, x3 __LF \ + adcs x11, x11, x2 __LF \ + adc x8, x8, xzr __LF \ + adds x10, x10, x9, lsl #32 __LF \ + lsr x3, x9, #32 __LF \ + adcs x11, x11, x3 __LF \ + mov x3, #0xffffffff00000001 __LF \ + mul x2, x9, x3 __LF \ + umulh x9, x9, x3 __LF \ + adcs x8, x8, x2 __LF \ + adc x9, x9, xzr __LF \ + adds x11, x11, x10, lsl #32 __LF \ + lsr x3, x10, #32 __LF \ + adcs x8, x8, x3 __LF \ + mov x3, #0xffffffff00000001 __LF \ + mul x2, x10, x3 __LF \ + umulh x10, x10, x3 __LF \ + adcs x9, x9, x2 __LF \ + adc x10, x10, xzr __LF \ + adds x8, x8, x11, lsl #32 __LF \ + lsr x3, x11, #32 __LF \ + adcs x9, x9, x3 __LF \ + mov x3, #0xffffffff00000001 __LF \ + mul x2, x11, x3 __LF \ + umulh x11, x11, x3 __LF \ + adcs x10, x10, x2 __LF \ + adc x11, x11, xzr __LF \ + adds x8, x8, x12 __LF \ + adcs x9, x9, x13 __LF \ + adcs x10, x10, x14 __LF \ + adcs x11, x11, x7 __LF \ + mov x2, #0xffffffffffffffff __LF \ + csel x2, xzr, x2, cc __LF \ + mov x3, #0xffffffff __LF \ + csel x3, xzr, x3, cc __LF \ + mov x5, #0xffffffff00000001 __LF \ + csel x5, xzr, x5, cc __LF \ + subs x8, x8, x2 __LF \ + sbcs x9, x9, x3 __LF \ + sbcs x10, x10, xzr __LF \ + sbc x11, x11, x5 __LF \ + stp x8, x9, [P0] __LF \ + stp x10, x11, [P0+16] + +// Corresponds exactly to bignum_sub_p256 + +#define sub_p256(P0,P1,P2) \ + ldp x5, x6, [P1] __LF \ + ldp x4, x3, [P2] __LF \ + subs x5, x5, x4 __LF \ + sbcs x6, x6, x3 __LF \ + ldp x7, x8, [P1+16] __LF \ + ldp x4, x3, [P2+16] __LF \ + sbcs x7, x7, x4 __LF \ + sbcs x8, x8, x3 __LF \ + csetm x3, cc __LF \ + adds x5, x5, x3 __LF \ + mov x4, #0xffffffff __LF \ + and x4, x4, x3 __LF \ + adcs x6, x6, x4 __LF \ + adcs x7, x7, xzr __LF \ + mov x4, #0xffffffff00000001 __LF \ + and x4, x4, x3 __LF \ + adc x8, x8, x4 __LF \ + stp x5, x6, [P0] __LF \ + stp x7, x8, [P0+16] + +S2N_BN_SYMBOL(p256_montjadd_alt): + CFI_START + +// Make room on stack for temporary variables +// Move the input arguments to stable places + + CFI_DEC_SP(NSPACE) + + mov input_z, x0 + mov input_x, x1 + mov input_y, x2 + +// Main code, just a sequence of basic field operations +// 12 * multiply + 4 * square + 7 * subtract + + amontsqr_p256(z1sq,z_1) + amontsqr_p256(z2sq,z_2) + + montmul_p256(y1a,z_2,y_1) + montmul_p256(y2a,z_1,y_2) + + montmul_p256(x2a,z1sq,x_2) + montmul_p256(x1a,z2sq,x_1) + montmul_p256(y2a,z1sq,y2a) + montmul_p256(y1a,z2sq,y1a) + + sub_p256(xd,x2a,x1a) + sub_p256(yd,y2a,y1a) + + amontsqr_p256(zz,xd) + montsqr_p256(ww,yd) + + montmul_p256(zzx1,zz,x1a) + montmul_p256(zzx2,zz,x2a) + + sub_p256(resx,ww,zzx1) + sub_p256(t1,zzx2,zzx1) + + montmul_p256(xd,xd,z_1) + + sub_p256(resx,resx,zzx2) + + sub_p256(t2,zzx1,resx) + + montmul_p256(t1,t1,y1a) + montmul_p256(resz,xd,z_2) + montmul_p256(t2,yd,t2) + + sub_p256(resy,t2,t1) + +// Load in the z coordinates of the inputs to check for P1 = 0 and P2 = 0 +// The condition codes get set by a comparison (P2 != 0) - (P1 != 0) +// So "HI" <=> CF /\ ~ZF <=> P1 = 0 /\ ~(P2 = 0) +// and "LO" <=> ~CF <=> ~(P1 = 0) /\ P2 = 0 + + ldp x0, x1, [z_1] + ldp x2, x3, [z_1+16] + + orr x12, x0, x1 + orr x13, x2, x3 + orr x12, x12, x13 + cmp x12, xzr + cset x12, ne + + ldp x4, x5, [z_2] + ldp x6, x7, [z_2+16] + + orr x13, x4, x5 + orr x14, x6, x7 + orr x13, x13, x14 + cmp x13, xzr + cset x13, ne + + cmp x13, x12 + +// Multiplex the outputs accordingly, re-using the z's in registers + + ldp x8, x9, [resz] + csel x8, x0, x8, lo + csel x9, x1, x9, lo + csel x8, x4, x8, hi + csel x9, x5, x9, hi + ldp x10, x11, [resz+16] + csel x10, x2, x10, lo + csel x11, x3, x11, lo + csel x10, x6, x10, hi + csel x11, x7, x11, hi + + ldp x12, x13, [x_1] + ldp x0, x1, [resx] + csel x0, x12, x0, lo + csel x1, x13, x1, lo + ldp x12, x13, [x_2] + csel x0, x12, x0, hi + csel x1, x13, x1, hi + + ldp x12, x13, [x_1+16] + ldp x2, x3, [resx+16] + csel x2, x12, x2, lo + csel x3, x13, x3, lo + ldp x12, x13, [x_2+16] + csel x2, x12, x2, hi + csel x3, x13, x3, hi + + ldp x12, x13, [y_1] + ldp x4, x5, [resy] + csel x4, x12, x4, lo + csel x5, x13, x5, lo + ldp x12, x13, [y_2] + csel x4, x12, x4, hi + csel x5, x13, x5, hi + + ldp x12, x13, [y_1+16] + ldp x6, x7, [resy+16] + csel x6, x12, x6, lo + csel x7, x13, x7, lo + ldp x12, x13, [y_2+16] + csel x6, x12, x6, hi + csel x7, x13, x7, hi + +// Finally store back the multiplexed values + + stp x0, x1, [x_3] + stp x2, x3, [x_3+16] + stp x4, x5, [y_3] + stp x6, x7, [y_3+16] + stp x8, x9, [z_3] + stp x10, x11, [z_3+16] + +// Restore registers and return + + CFI_INC_SP(NSPACE) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p256_montjadd_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/arm/p256_montjdouble.S b/cbits/s2n/arm/p256_montjdouble.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/p256_montjdouble.S @@ -0,0 +1,1555 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Point doubling on NIST curve P-256 in Montgomery-Jacobian coordinates +// +// extern void p256_montjdouble(uint64_t p3[static 12], +// const uint64_t p1[static 12]); +// +// Does p3 := 2 * p1 where all points are regarded as Jacobian triples with +// each coordinate in the Montgomery domain, i.e. x' = (2^256 * x) mod p_256. +// A Jacobian triple (x',y',z') represents affine point (x/z^2,y/z^3). +// +// Standard ARM ABI: X0 = p3, X1 = p1 +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + +// This is functionally equivalent to p256_montjdouble in unopt/p256_montjdouble.S. +// This is the result of doing the following sequence of optimizations: +// 1. Function inlining +// 2. Eliminating redundant load/store instructions +// 3. Folding (add addr, const) + load/store +// Function inlining is done manually. The second and third optimizations are +// done by a script. + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p256_montjdouble) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p256_montjdouble) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p256_montjdouble) + .text + .balign 4 + +#define NUMSIZE 32 +#define NSPACE NUMSIZE*6 + +S2N_BN_SYMBOL(p256_montjdouble): + CFI_START + + CFI_DEC_SP(NSPACE+80) + CFI_STACKSAVE2(x19,x20,NSPACE) + CFI_STACKSAVE2(x21,x22,NSPACE+16) + CFI_STACKSAVE2(x23,x24,NSPACE+32) + CFI_STACKSAVE2(x25,x26,NSPACE+48) + CFI_STACKSAVE1Z(x27,NSPACE+64) + + mov x19, x0 + mov x20, x1 + mov x0, sp + ldr q19, [x20, #64] + ldp x9, x13, [x20, #64] + ldr q23, [x20, #80] + ldr q0, [x20, #64] + ldp x1, x10, [x20, #80] + uzp2 v29.4s, v19.4s, v19.4s + xtn v4.2s, v19.2d + umulh x8, x9, x13 + rev64 v20.4s, v23.4s + umull v16.2d, v19.2s, v19.2s + umull v1.2d, v29.2s, v4.2s + mul v20.4s, v20.4s, v0.4s + subs x14, x9, x13 + umulh x15, x9, x1 + mov x16, v16.d[1] + umull2 v4.2d, v19.4s, v19.4s + mov x4, v16.d[0] + uzp1 v17.4s, v23.4s, v0.4s + uaddlp v19.2d, v20.4s + lsr x7, x8, #63 + mul x11, x9, x13 + mov x12, v1.d[0] + csetm x5, cc + cneg x6, x14, cc + mov x3, v4.d[1] + mov x14, v4.d[0] + subs x2, x10, x1 + mov x9, v1.d[1] + cneg x17, x2, cc + cinv x2, x5, cc + adds x5, x4, x12, lsl #33 + extr x4, x8, x11, #63 + lsr x8, x12, #31 + uzp1 v20.4s, v0.4s, v0.4s + shl v19.2d, v19.2d, #32 + adc x16, x16, x8 + adds x8, x14, x9, lsl #33 + lsr x14, x9, #31 + lsl x9, x5, #32 + umlal v19.2d, v20.2s, v17.2s + adc x14, x3, x14 + adds x16, x16, x11, lsl #1 + lsr x3, x5, #32 + umulh x12, x6, x17 + adcs x4, x8, x4 + adc x11, x14, x7 + subs x8, x5, x9 + sbc x5, x5, x3 + adds x16, x16, x9 + mov x14, v19.d[0] + mul x17, x6, x17 + adcs x3, x4, x3 + lsl x7, x16, #32 + umulh x13, x13, x10 + adcs x11, x11, x8 + lsr x8, x16, #32 + adc x5, x5, xzr + subs x9, x16, x7 + sbc x16, x16, x8 + adds x7, x3, x7 + mov x3, v19.d[1] + adcs x6, x11, x8 + umulh x11, x1, x10 + adcs x5, x5, x9 + eor x8, x12, x2 + adc x9, x16, xzr + adds x16, x14, x15 + adc x15, x15, xzr + adds x12, x16, x3 + eor x16, x17, x2 + mul x4, x1, x10 + adcs x15, x15, x13 + adc x17, x13, xzr + adds x15, x15, x3 + adc x3, x17, xzr + cmn x2, #0x1 + mul x17, x10, x10 + adcs x12, x12, x16 + adcs x16, x15, x8 + umulh x10, x10, x10 + adc x2, x3, x2 + adds x14, x14, x14 + adcs x12, x12, x12 + adcs x16, x16, x16 + adcs x2, x2, x2 + adc x15, xzr, xzr + adds x14, x14, x7 + mul x3, x1, x1 + adcs x12, x12, x6 + lsr x7, x14, #32 + adcs x16, x16, x5 + lsl x5, x14, #32 + umulh x13, x1, x1 + adcs x2, x2, x9 + mov x6, #0xffffffff + adc x15, x15, xzr + adds x8, x4, x4 + adcs x1, x11, x11 + mov x11, #0xffffffff00000001 + adc x4, xzr, xzr + subs x9, x14, x5 + sbc x14, x14, x7 + adds x12, x12, x5 + adcs x16, x16, x7 + lsl x5, x12, #32 + lsr x7, x12, #32 + adcs x2, x2, x9 + adcs x14, x15, x14 + adc x15, xzr, xzr + subs x9, x12, x5 + sbc x12, x12, x7 + adds x16, x16, x5 + adcs x2, x2, x7 + adcs x14, x14, x9 + adcs x12, x15, x12 + adc x15, xzr, xzr + adds x16, x16, x3 + adcs x2, x2, x13 + adcs x14, x14, x17 + adcs x12, x12, x10 + adc x15, x15, xzr + adds x2, x2, x8 + adcs x14, x14, x1 + adcs x12, x12, x4 + adcs x15, x15, xzr + adds x3, x16, #0x1 + sbcs x5, x2, x6 + sbcs x8, x14, xzr + sbcs x11, x12, x11 + sbcs xzr, x15, xzr + csel x21, x3, x16, cs + csel x22, x8, x14, cs + csel x23, x11, x12, cs + csel x24, x5, x2, cs + stp x22, x23, [x0, #16] + stp x21, x24, [x0] + ldr q19, [x20, #32] + ldp x9, x13, [x20, #32] + ldr q23, [x20, #48] + ldr q0, [x20, #32] + ldp x1, x10, [x20, #48] + uzp2 v29.4s, v19.4s, v19.4s + xtn v4.2s, v19.2d + umulh x8, x9, x13 + rev64 v20.4s, v23.4s + umull v16.2d, v19.2s, v19.2s + umull v1.2d, v29.2s, v4.2s + mul v20.4s, v20.4s, v0.4s + subs x14, x9, x13 + umulh x15, x9, x1 + mov x16, v16.d[1] + umull2 v4.2d, v19.4s, v19.4s + mov x4, v16.d[0] + uzp1 v17.4s, v23.4s, v0.4s + uaddlp v19.2d, v20.4s + lsr x7, x8, #63 + mul x11, x9, x13 + mov x12, v1.d[0] + csetm x5, cc + cneg x6, x14, cc + mov x3, v4.d[1] + mov x14, v4.d[0] + subs x2, x10, x1 + mov x9, v1.d[1] + cneg x17, x2, cc + cinv x2, x5, cc + adds x5, x4, x12, lsl #33 + extr x4, x8, x11, #63 + lsr x8, x12, #31 + uzp1 v20.4s, v0.4s, v0.4s + shl v19.2d, v19.2d, #32 + adc x16, x16, x8 + adds x8, x14, x9, lsl #33 + lsr x14, x9, #31 + lsl x9, x5, #32 + umlal v19.2d, v20.2s, v17.2s + adc x14, x3, x14 + adds x16, x16, x11, lsl #1 + lsr x3, x5, #32 + umulh x12, x6, x17 + adcs x4, x8, x4 + adc x11, x14, x7 + subs x8, x5, x9 + sbc x5, x5, x3 + adds x16, x16, x9 + mov x14, v19.d[0] + mul x17, x6, x17 + adcs x3, x4, x3 + lsl x7, x16, #32 + umulh x13, x13, x10 + adcs x11, x11, x8 + lsr x8, x16, #32 + adc x5, x5, xzr + subs x9, x16, x7 + sbc x16, x16, x8 + adds x7, x3, x7 + mov x3, v19.d[1] + adcs x6, x11, x8 + umulh x11, x1, x10 + adcs x5, x5, x9 + eor x8, x12, x2 + adc x9, x16, xzr + adds x16, x14, x15 + adc x15, x15, xzr + adds x12, x16, x3 + eor x16, x17, x2 + mul x4, x1, x10 + adcs x15, x15, x13 + adc x17, x13, xzr + adds x15, x15, x3 + adc x3, x17, xzr + cmn x2, #0x1 + mul x17, x10, x10 + adcs x12, x12, x16 + adcs x16, x15, x8 + umulh x10, x10, x10 + adc x2, x3, x2 + adds x14, x14, x14 + adcs x12, x12, x12 + adcs x16, x16, x16 + adcs x2, x2, x2 + adc x15, xzr, xzr + adds x14, x14, x7 + mul x3, x1, x1 + adcs x12, x12, x6 + lsr x7, x14, #32 + adcs x16, x16, x5 + lsl x5, x14, #32 + umulh x13, x1, x1 + adcs x2, x2, x9 + mov x6, #0xffffffff + adc x15, x15, xzr + adds x8, x4, x4 + adcs x1, x11, x11 + mov x11, #0xffffffff00000001 + adc x4, xzr, xzr + subs x9, x14, x5 + sbc x14, x14, x7 + adds x12, x12, x5 + adcs x16, x16, x7 + lsl x5, x12, #32 + lsr x7, x12, #32 + adcs x2, x2, x9 + adcs x14, x15, x14 + adc x15, xzr, xzr + subs x9, x12, x5 + sbc x12, x12, x7 + adds x16, x16, x5 + adcs x2, x2, x7 + adcs x14, x14, x9 + adcs x12, x15, x12 + adc x15, xzr, xzr + adds x16, x16, x3 + adcs x2, x2, x13 + adcs x14, x14, x17 + adcs x12, x12, x10 + adc x15, x15, xzr + adds x2, x2, x8 + adcs x14, x14, x1 + adcs x12, x12, x4 + adcs x15, x15, xzr + adds x3, x16, #0x1 + sbcs x5, x2, x6 + sbcs x8, x14, xzr + sbcs x11, x12, x11 + sbcs xzr, x15, xzr + csel x16, x3, x16, cs + csel x14, x8, x14, cs + csel x12, x11, x12, cs + csel x2, x5, x2, cs + stp x14, x12, [sp, #48] + stp x16, x2, [sp, #32] + ldp x5, x6, [x20, #0] + subs x5, x5, x21 + sbcs x6, x6, x24 + ldp x7, x8, [x20, #16] + sbcs x7, x7, x22 + sbcs x8, x8, x23 + csetm x3, cc + adds x10, x5, x3 + and x4, x3, #0xffffffff + adcs x25, x6, x4 + adcs x26, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x27, x8, x4 + stp x10, x25, [sp, #96] + stp x26, x27, [sp, #112] + ldp x5, x6, [x20] + adds x5, x5, x21 + adcs x6, x6, x24 + ldp x7, x8, [x20, #16] + adcs x7, x7, x22 + adcs x8, x8, x23 + csetm x3, cs + subs x9, x5, x3 + and x1, x3, #0xffffffff + sbcs x5, x6, x1 + sbcs x7, x7, xzr + and x2, x3, #0xffffffff00000001 + sbc x8, x8, x2 + stp x9, x5, [sp, #64] + stp x7, x8, [sp, #80] + ldr q20, [sp, #96] + ldr q0, [sp, #64] + rev64 v16.4s, v20.4s + subs x4, x9, x5 + csetm x3, cc + cneg x13, x4, cc + mul v16.4s, v16.4s, v0.4s + umulh x12, x5, x25 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x7, x9 + ldr q20, [sp, #112] + sbcs x5, x8, x5 + ngc x17, xzr + subs x8, x7, x8 + uaddlp v27.2d, v16.4s + umulh x4, x9, x10 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc + shl v17.2d, v27.2d, #32 + csetm x15, cc + subs x9, x25, x10 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc + cinv x9, x3, cc + cmn x17, #0x1 + ldr q28, [sp, #80] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x10, x26 + sbcs x9, x25, x27 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x27, x26 + cinv x2, x15, cc + cneg x6, x6, cc + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x21, x3, x13 + adcs x22, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x23, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x24, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x21 + adcs x15, x16, x22 + eor x5, x17, x4 + adcs x9, x1, x23 + eor x1, x10, x5 + adcs x16, x2, x24 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 + adds x21, x11, x13 + and x1, x1, x13 + adcs x22, x4, x1 + and x1, x12, x13 + stp x21, x22, [sp, #96] + adcs x23, x7, xzr + adc x24, x17, x1 + stp x23, x24, [sp, #112] + ldp x4, x5, [x20, #32] + ldp x8, x9, [x20, #64] + adds x4, x4, x8 + adcs x5, x5, x9 + ldp x6, x7, [x20, #48] + ldp x10, x11, [x20, #80] + adcs x6, x6, x10 + adcs x7, x7, x11 + adc x3, xzr, xzr + adds x8, x4, #0x1 + mov x9, #0xffffffff + sbcs x9, x5, x9 + sbcs x10, x6, xzr + mov x11, #0xffffffff00000001 + sbcs x11, x7, x11 + sbcs x3, x3, xzr + csel x4, x4, x8, cc + csel x5, x5, x9, cc + csel x6, x6, x10, cc + csel x7, x7, x11, cc + stp x4, x5, [sp, #64] + stp x6, x7, [sp, #80] + ldr q20, [sp, #32] + ldp x7, x17, [x20, #0] + ldr q0, [x20, #0] + ldp x6, x10, [sp, #32] + ldp x11, x15, [x20, #16] + rev64 v16.4s, v20.4s + subs x4, x7, x17 + csetm x3, cc + cneg x13, x4, cc + mul v16.4s, v16.4s, v0.4s + umulh x12, x17, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x7 + ldr q20, [sp, #48] + sbcs x5, x15, x17 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x7, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc + shl v17.2d, v27.2d, #32 + csetm x15, cc + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc + cinv x9, x3, cc + cmn x17, #0x1 + ldr q28, [x20, #16] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [sp, #48] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc + cneg x6, x6, cc + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x20, x3, x13 + adcs x25, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x26, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x27, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x20 + adcs x15, x16, x25 + eor x5, x17, x4 + adcs x9, x1, x26 + eor x1, x10, x5 + adcs x16, x2, x27 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 + adds x20, x11, x13 + and x1, x1, x13 + adcs x25, x4, x1 + and x1, x12, x13 + stp x20, x25, [sp, #128] + adcs x4, x7, xzr + adc x1, x17, x1 + stp x4, x1, [sp, #144] + ldr q19, [sp, #96] + ldr q23, [sp, #112] + ldr q0, [sp, #96] + uzp2 v29.4s, v19.4s, v19.4s + xtn v4.2s, v19.2d + umulh x8, x21, x22 + rev64 v20.4s, v23.4s + umull v16.2d, v19.2s, v19.2s + umull v1.2d, v29.2s, v4.2s + mul v20.4s, v20.4s, v0.4s + subs x14, x21, x22 + umulh x15, x21, x23 + mov x16, v16.d[1] + umull2 v4.2d, v19.4s, v19.4s + mov x4, v16.d[0] + uzp1 v17.4s, v23.4s, v0.4s + uaddlp v19.2d, v20.4s + lsr x7, x8, #63 + mul x11, x21, x22 + mov x12, v1.d[0] + csetm x5, cc + cneg x6, x14, cc + mov x3, v4.d[1] + mov x14, v4.d[0] + subs x2, x24, x23 + mov x9, v1.d[1] + cneg x17, x2, cc + cinv x2, x5, cc + adds x5, x4, x12, lsl #33 + extr x4, x8, x11, #63 + lsr x8, x12, #31 + uzp1 v20.4s, v0.4s, v0.4s + shl v19.2d, v19.2d, #32 + adc x16, x16, x8 + adds x8, x14, x9, lsl #33 + lsr x14, x9, #31 + lsl x9, x5, #32 + umlal v19.2d, v20.2s, v17.2s + adc x14, x3, x14 + adds x16, x16, x11, lsl #1 + lsr x3, x5, #32 + umulh x12, x6, x17 + adcs x4, x8, x4 + adc x11, x14, x7 + subs x8, x5, x9 + sbc x5, x5, x3 + adds x16, x16, x9 + mov x14, v19.d[0] + mul x17, x6, x17 + adcs x3, x4, x3 + lsl x7, x16, #32 + umulh x13, x22, x24 + adcs x11, x11, x8 + lsr x8, x16, #32 + adc x5, x5, xzr + subs x9, x16, x7 + sbc x16, x16, x8 + adds x7, x3, x7 + mov x3, v19.d[1] + adcs x6, x11, x8 + umulh x11, x23, x24 + adcs x5, x5, x9 + eor x8, x12, x2 + adc x9, x16, xzr + adds x16, x14, x15 + adc x15, x15, xzr + adds x12, x16, x3 + eor x16, x17, x2 + mul x4, x23, x24 + adcs x15, x15, x13 + adc x17, x13, xzr + adds x15, x15, x3 + adc x3, x17, xzr + cmn x2, #0x1 + mul x17, x24, x24 + adcs x12, x12, x16 + adcs x16, x15, x8 + umulh x10, x24, x24 + adc x2, x3, x2 + adds x14, x14, x14 + adcs x12, x12, x12 + adcs x16, x16, x16 + adcs x2, x2, x2 + adc x15, xzr, xzr + adds x14, x14, x7 + mul x3, x23, x23 + adcs x12, x12, x6 + lsr x7, x14, #32 + adcs x16, x16, x5 + lsl x5, x14, #32 + umulh x13, x23, x23 + adcs x2, x2, x9 + mov x6, #0xffffffff + adc x15, x15, xzr + adds x8, x4, x4 + adcs x1, x11, x11 + mov x11, #0xffffffff00000001 + adc x4, xzr, xzr + subs x9, x14, x5 + sbc x14, x14, x7 + adds x12, x12, x5 + adcs x16, x16, x7 + lsl x5, x12, #32 + lsr x7, x12, #32 + adcs x2, x2, x9 + adcs x14, x15, x14 + adc x15, xzr, xzr + subs x9, x12, x5 + sbc x12, x12, x7 + adds x16, x16, x5 + adcs x2, x2, x7 + adcs x14, x14, x9 + adcs x12, x15, x12 + adc x15, xzr, xzr + adds x16, x16, x3 + adcs x2, x2, x13 + adcs x14, x14, x17 + adcs x12, x12, x10 + adc x15, x15, xzr + adds x2, x2, x8 + adcs x14, x14, x1 + adcs x12, x12, x4 + adcs x15, x15, xzr + adds x3, x16, #0x1 + sbcs x5, x2, x6 + sbcs x8, x14, xzr + sbcs x11, x12, x11 + sbcs xzr, x15, xzr + csel x21, x3, x16, cs + csel x22, x8, x14, cs + csel x23, x11, x12, cs + csel x24, x5, x2, cs + ldr q19, [sp, #64] + ldp x9, x13, [sp, #64] + ldr q23, [sp, #80] + ldr q0, [sp, #64] + ldp x1, x10, [sp, #80] + uzp2 v29.4s, v19.4s, v19.4s + xtn v4.2s, v19.2d + umulh x8, x9, x13 + rev64 v20.4s, v23.4s + umull v16.2d, v19.2s, v19.2s + umull v1.2d, v29.2s, v4.2s + mul v20.4s, v20.4s, v0.4s + subs x14, x9, x13 + umulh x15, x9, x1 + mov x16, v16.d[1] + umull2 v4.2d, v19.4s, v19.4s + mov x4, v16.d[0] + uzp1 v17.4s, v23.4s, v0.4s + uaddlp v19.2d, v20.4s + lsr x7, x8, #63 + mul x11, x9, x13 + mov x12, v1.d[0] + csetm x5, cc + cneg x6, x14, cc + mov x3, v4.d[1] + mov x14, v4.d[0] + subs x2, x10, x1 + mov x9, v1.d[1] + cneg x17, x2, cc + cinv x2, x5, cc + adds x5, x4, x12, lsl #33 + extr x4, x8, x11, #63 + lsr x8, x12, #31 + uzp1 v20.4s, v0.4s, v0.4s + shl v19.2d, v19.2d, #32 + adc x16, x16, x8 + adds x8, x14, x9, lsl #33 + lsr x14, x9, #31 + lsl x9, x5, #32 + umlal v19.2d, v20.2s, v17.2s + adc x14, x3, x14 + adds x16, x16, x11, lsl #1 + lsr x3, x5, #32 + umulh x12, x6, x17 + adcs x4, x8, x4 + adc x11, x14, x7 + subs x8, x5, x9 + sbc x5, x5, x3 + adds x16, x16, x9 + mov x14, v19.d[0] + mul x17, x6, x17 + adcs x3, x4, x3 + lsl x7, x16, #32 + umulh x13, x13, x10 + adcs x11, x11, x8 + lsr x8, x16, #32 + adc x5, x5, xzr + subs x9, x16, x7 + sbc x16, x16, x8 + adds x7, x3, x7 + mov x3, v19.d[1] + adcs x6, x11, x8 + umulh x11, x1, x10 + adcs x5, x5, x9 + eor x8, x12, x2 + adc x9, x16, xzr + adds x16, x14, x15 + adc x15, x15, xzr + adds x12, x16, x3 + eor x16, x17, x2 + mul x4, x1, x10 + adcs x15, x15, x13 + adc x17, x13, xzr + adds x15, x15, x3 + adc x3, x17, xzr + cmn x2, #0x1 + mul x17, x10, x10 + adcs x12, x12, x16 + adcs x16, x15, x8 + umulh x10, x10, x10 + adc x2, x3, x2 + adds x14, x14, x14 + adcs x12, x12, x12 + adcs x16, x16, x16 + adcs x2, x2, x2 + adc x15, xzr, xzr + adds x14, x14, x7 + mul x3, x1, x1 + adcs x12, x12, x6 + lsr x7, x14, #32 + adcs x16, x16, x5 + lsl x5, x14, #32 + umulh x13, x1, x1 + adcs x2, x2, x9 + mov x6, #0xffffffff + adc x15, x15, xzr + adds x8, x4, x4 + adcs x1, x11, x11 + mov x11, #0xffffffff00000001 + adc x4, xzr, xzr + subs x9, x14, x5 + sbc x14, x14, x7 + adds x12, x12, x5 + adcs x16, x16, x7 + lsl x5, x12, #32 + lsr x7, x12, #32 + adcs x2, x2, x9 + adcs x14, x15, x14 + adc x15, xzr, xzr + subs x9, x12, x5 + sbc x12, x12, x7 + adds x16, x16, x5 + adcs x2, x2, x7 + adcs x14, x14, x9 + adcs x12, x15, x12 + adc x15, xzr, xzr + adds x16, x16, x3 + adcs x2, x2, x13 + adcs x14, x14, x17 + adcs x12, x12, x10 + adc x15, x15, xzr + adds x2, x2, x8 + adcs x14, x14, x1 + adcs x12, x12, x4 + adcs x15, x15, xzr + adds x3, x16, #0x1 + sbcs x5, x2, x6 + sbcs x8, x14, xzr + sbcs x11, x12, x11 + sbcs xzr, x15, xzr + csel x13, x3, x16, cs + csel x14, x8, x14, cs + csel x15, x11, x12, cs + csel x26, x5, x2, cs + mov x1, #0x9 + mov x2, #0xffffffffffffffff + subs x9, x2, x21 + mov x2, #0xffffffff + sbcs x10, x2, x24 + ngcs x11, x22 + mov x2, #0xffffffff00000001 + sbc x12, x2, x23 + mul x3, x1, x9 + mul x4, x1, x10 + mul x5, x1, x11 + mul x6, x1, x12 + umulh x9, x1, x9 + umulh x10, x1, x10 + umulh x11, x1, x11 + umulh x7, x1, x12 + adds x4, x4, x9 + adcs x5, x5, x10 + adcs x6, x6, x11 + adc x7, x7, xzr + mov x1, #0xc + mul x8, x20, x1 + umulh x9, x20, x1 + adds x3, x3, x8 + mul x8, x25, x1 + umulh x10, x25, x1 + adcs x4, x4, x8 + ldp x11, x12, [sp, #144] + mul x8, x11, x1 + umulh x11, x11, x1 + adcs x5, x5, x8 + mul x8, x12, x1 + umulh x12, x12, x1 + adcs x6, x6, x8 + adc x7, x7, xzr + adds x4, x4, x9 + adcs x5, x5, x10 + adcs x6, x6, x11 + adc x7, x7, x12 + add x8, x7, #0x1 + lsl x10, x8, #32 + adds x6, x6, x10 + adc x7, x7, xzr + neg x9, x8 + sub x10, x10, #0x1 + subs x3, x3, x9 + sbcs x4, x4, x10 + sbcs x5, x5, xzr + sbcs x6, x6, x8 + sbc x8, x7, x8 + adds x20, x3, x8 + and x9, x8, #0xffffffff + adcs x21, x4, x9 + adcs x22, x5, xzr + neg x10, x9 + adc x23, x6, x10 + stp x20, x21, [sp, #160] + stp x22, x23, [sp, #176] + mov x2, sp + ldp x4, x3, [x2] + subs x5, x13, x4 + sbcs x6, x26, x3 + ldp x4, x3, [x2, #16] + sbcs x7, x14, x4 + sbcs x8, x15, x3 + csetm x3, cc + adds x5, x5, x3 + and x4, x3, #0xffffffff + adcs x6, x6, x4 + adcs x7, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x8, x8, x4 + stp x5, x6, [sp, #64] + stp x7, x8, [sp, #80] + mov x0, sp + ldr q19, [sp, #32] + ldp x9, x13, [sp, #32] + ldr q23, [sp, #48] + ldr q0, [sp, #32] + ldp x1, x10, [sp, #48] + uzp2 v29.4s, v19.4s, v19.4s + xtn v4.2s, v19.2d + umulh x8, x9, x13 + rev64 v20.4s, v23.4s + umull v16.2d, v19.2s, v19.2s + umull v1.2d, v29.2s, v4.2s + mul v20.4s, v20.4s, v0.4s + subs x14, x9, x13 + umulh x15, x9, x1 + mov x16, v16.d[1] + umull2 v4.2d, v19.4s, v19.4s + mov x4, v16.d[0] + uzp1 v17.4s, v23.4s, v0.4s + uaddlp v19.2d, v20.4s + lsr x7, x8, #63 + mul x11, x9, x13 + mov x12, v1.d[0] + csetm x5, cc + cneg x6, x14, cc + mov x3, v4.d[1] + mov x14, v4.d[0] + subs x2, x10, x1 + mov x9, v1.d[1] + cneg x17, x2, cc + cinv x2, x5, cc + adds x5, x4, x12, lsl #33 + extr x4, x8, x11, #63 + lsr x8, x12, #31 + uzp1 v20.4s, v0.4s, v0.4s + shl v19.2d, v19.2d, #32 + adc x16, x16, x8 + adds x8, x14, x9, lsl #33 + lsr x14, x9, #31 + lsl x9, x5, #32 + umlal v19.2d, v20.2s, v17.2s + adc x14, x3, x14 + adds x16, x16, x11, lsl #1 + lsr x3, x5, #32 + umulh x12, x6, x17 + adcs x4, x8, x4 + adc x11, x14, x7 + subs x8, x5, x9 + sbc x5, x5, x3 + adds x16, x16, x9 + mov x14, v19.d[0] + mul x17, x6, x17 + adcs x3, x4, x3 + lsl x7, x16, #32 + umulh x13, x13, x10 + adcs x11, x11, x8 + lsr x8, x16, #32 + adc x5, x5, xzr + subs x9, x16, x7 + sbc x16, x16, x8 + adds x7, x3, x7 + mov x3, v19.d[1] + adcs x6, x11, x8 + umulh x11, x1, x10 + adcs x5, x5, x9 + eor x8, x12, x2 + adc x9, x16, xzr + adds x16, x14, x15 + adc x15, x15, xzr + adds x12, x16, x3 + eor x16, x17, x2 + mul x4, x1, x10 + adcs x15, x15, x13 + adc x17, x13, xzr + adds x15, x15, x3 + adc x3, x17, xzr + cmn x2, #0x1 + mul x17, x10, x10 + adcs x12, x12, x16 + adcs x16, x15, x8 + umulh x10, x10, x10 + adc x2, x3, x2 + adds x14, x14, x14 + adcs x12, x12, x12 + adcs x16, x16, x16 + adcs x2, x2, x2 + adc x15, xzr, xzr + adds x14, x14, x7 + mul x3, x1, x1 + adcs x12, x12, x6 + lsr x7, x14, #32 + adcs x16, x16, x5 + lsl x5, x14, #32 + umulh x13, x1, x1 + adcs x2, x2, x9 + mov x6, #0xffffffff + adc x15, x15, xzr + adds x8, x4, x4 + adcs x1, x11, x11 + mov x11, #0xffffffff00000001 + adc x4, xzr, xzr + subs x9, x14, x5 + sbc x14, x14, x7 + adds x12, x12, x5 + adcs x16, x16, x7 + lsl x5, x12, #32 + lsr x7, x12, #32 + adcs x2, x2, x9 + adcs x14, x15, x14 + adc x15, xzr, xzr + subs x9, x12, x5 + sbc x12, x12, x7 + adds x16, x16, x5 + adcs x2, x2, x7 + adcs x14, x14, x9 + adcs x12, x15, x12 + adc x15, xzr, xzr + adds x16, x16, x3 + adcs x2, x2, x13 + adcs x14, x14, x17 + adcs x12, x12, x10 + adc x15, x15, xzr + adds x2, x2, x8 + adcs x14, x14, x1 + adcs x12, x12, x4 + adcs x15, x15, xzr + adds x3, x16, #0x1 + sbcs x5, x2, x6 + sbcs x8, x14, xzr + sbcs x11, x12, x11 + sbcs xzr, x15, xzr + csel x24, x3, x16, cs + csel x25, x8, x14, cs + csel x26, x11, x12, cs + csel x27, x5, x2, cs + stp x25, x26, [x0, #16] + stp x24, x27, [x0] + ldr q20, [sp, #96] + ldr q0, [sp, #160] + ldp x6, x10, [sp, #96] + rev64 v16.4s, v20.4s + subs x4, x20, x21 + csetm x3, cc + cneg x13, x4, cc + mul v16.4s, v16.4s, v0.4s + umulh x12, x21, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x22, x20 + ldr q20, [sp, #112] + sbcs x5, x23, x21 + ngc x17, xzr + subs x8, x22, x23 + uaddlp v27.2d, v16.4s + umulh x4, x20, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc + shl v17.2d, v27.2d, #32 + csetm x15, cc + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc + cinv x9, x3, cc + cmn x17, #0x1 + ldr q28, [sp, #176] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [sp, #112] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc + cneg x6, x6, cc + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x20, x3, x13 + adcs x21, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x22, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x23, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x20 + adcs x15, x16, x21 + eor x5, x17, x4 + adcs x9, x1, x22 + eor x1, x10, x5 + adcs x16, x2, x23 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 + adds x14, x11, x13 + and x1, x1, x13 + adcs x15, x4, x1 + and x1, x12, x13 + stp x14, x15, [sp, #96] + adcs x13, x7, xzr + adc x20, x17, x1 + stp x13, x20, [sp, #112] + ldp x5, x6, [sp, #64] + ldp x4, x3, [sp, #32] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #80] + ldp x4, x3, [sp, #48] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + and x4, x3, #0xffffffff + adcs x6, x6, x4 + adcs x7, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x8, x8, x4 + stp x5, x6, [x19, #64] + stp x7, x8, [x19, #80] + ldp x1, x2, [sp, #128] + lsl x0, x1, #2 + ldp x6, x7, [sp, #160] + subs x0, x0, x6 + extr x1, x2, x1, #62 + sbcs x1, x1, x7 + ldp x3, x4, [sp, #144] + extr x2, x3, x2, #62 + ldp x6, x7, [sp, #176] + sbcs x2, x2, x6 + extr x3, x4, x3, #62 + sbcs x3, x3, x7 + lsr x4, x4, #62 + sbc x4, x4, xzr + add x5, x4, #0x1 + lsl x8, x5, #32 + negs x6, x8 + ngcs x7, xzr + sbc x8, x8, x5 + adds x0, x0, x5 + adcs x1, x1, x6 + adcs x2, x2, x7 + adcs x3, x3, x8 + csetm x5, cc + adds x0, x0, x5 + and x6, x5, #0xffffffff + adcs x1, x1, x6 + adcs x2, x2, xzr + neg x7, x6 + adc x3, x3, x7 + stp x0, x1, [x19] + stp x2, x3, [x19, #16] + mov x2, #0xffffffffffffffff + subs x9, x2, x24 + mov x2, #0xffffffff + sbcs x10, x2, x27 + ngcs x11, x25 + mov x2, #0xffffffff00000001 + sbc x12, x2, x26 + lsl x3, x9, #3 + extr x4, x10, x9, #61 + extr x5, x11, x10, #61 + extr x6, x12, x11, #61 + lsr x7, x12, #61 + mov x1, #0x3 + mul x8, x14, x1 + umulh x9, x14, x1 + adds x3, x3, x8 + mul x8, x15, x1 + umulh x10, x15, x1 + adcs x4, x4, x8 + mul x8, x13, x1 + umulh x11, x13, x1 + adcs x5, x5, x8 + mul x8, x20, x1 + umulh x12, x20, x1 + adcs x6, x6, x8 + adc x7, x7, xzr + adds x4, x4, x9 + adcs x5, x5, x10 + adcs x6, x6, x11 + adc x7, x7, x12 + add x8, x7, #0x1 + lsl x10, x8, #32 + adds x6, x6, x10 + adc x7, x7, xzr + neg x9, x8 + sub x10, x10, #0x1 + subs x3, x3, x9 + sbcs x4, x4, x10 + sbcs x5, x5, xzr + sbcs x6, x6, x8 + sbc x8, x7, x8 + adds x3, x3, x8 + and x9, x8, #0xffffffff + adcs x4, x4, x9 + adcs x5, x5, xzr + neg x10, x9 + adc x6, x6, x10 + stp x3, x4, [x19, #32] + stp x5, x6, [x19, #48] + + CFI_STACKLOAD1Z(x27,NSPACE+64) + CFI_STACKLOAD2(x25,x26,NSPACE+48) + CFI_STACKLOAD2(x23,x24,NSPACE+32) + CFI_STACKLOAD2(x21,x22,NSPACE+16) + CFI_STACKLOAD2(x19,x20,NSPACE) + CFI_INC_SP((NSPACE+80)) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p256_montjdouble) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/arm/p256_montjdouble_alt.S b/cbits/s2n/arm/p256_montjdouble_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/p256_montjdouble_alt.S @@ -0,0 +1,587 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Point doubling on NIST curve P-256 in Montgomery-Jacobian coordinates +// +// extern void p256_montjdouble_alt(uint64_t p3[static 12], +// const uint64_t p1[static 12]); +// +// Does p3 := 2 * p1 where all points are regarded as Jacobian triples with +// each coordinate in the Montgomery domain, i.e. x' = (2^256 * x) mod p_256. +// A Jacobian triple (x',y',z') represents affine point (x/z^2,y/z^3). +// +// Standard ARM ABI: X0 = p3, X1 = p1 +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p256_montjdouble_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p256_montjdouble_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p256_montjdouble_alt) + .text + .balign 4 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Stable homes for input arguments during main code sequence + +#define input_z x15 +#define input_x x16 + +// Pointer-offset pairs for inputs and outputs + +#define x_1 input_x, #0 +#define y_1 input_x, #NUMSIZE +#define z_1 input_x, #(2*NUMSIZE) + +#define x_3 input_z, #0 +#define y_3 input_z, #NUMSIZE +#define z_3 input_z, #(2*NUMSIZE) + +// Pointer-offset pairs for temporaries, with some aliasing +// #NSPACE is the total stack needed for these temporaries + +#define z2 sp, #(NUMSIZE*0) +#define y4 sp, #(NUMSIZE*0) + +#define y2 sp, #(NUMSIZE*1) + +#define t1 sp, #(NUMSIZE*2) + +#define t2 sp, #(NUMSIZE*3) +#define x2p sp, #(NUMSIZE*3) +#define dx2 sp, #(NUMSIZE*3) + +#define xy2 sp, #(NUMSIZE*4) + +#define x4p sp, #(NUMSIZE*5) +#define d sp, #(NUMSIZE*5) + +#define NSPACE NUMSIZE*6 + +// Corresponds exactly to bignum_montmul_p256_alt except registers + +#define montmul_p256(P0,P1,P2) \ + ldp x3, x4, [P1] __LF \ + ldp x7, x8, [P2] __LF \ + mul x12, x3, x7 __LF \ + umulh x13, x3, x7 __LF \ + mul x11, x3, x8 __LF \ + umulh x14, x3, x8 __LF \ + adds x13, x13, x11 __LF \ + ldp x9, x10, [P2+16] __LF \ + mul x11, x3, x9 __LF \ + umulh x0, x3, x9 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x3, x10 __LF \ + umulh x1, x3, x10 __LF \ + adcs x0, x0, x11 __LF \ + adc x1, x1, xzr __LF \ + ldp x5, x6, [P1+16] __LF \ + mul x11, x4, x7 __LF \ + adds x13, x13, x11 __LF \ + mul x11, x4, x8 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x4, x9 __LF \ + adcs x0, x0, x11 __LF \ + mul x11, x4, x10 __LF \ + adcs x1, x1, x11 __LF \ + umulh x3, x4, x10 __LF \ + adc x3, x3, xzr __LF \ + umulh x11, x4, x7 __LF \ + adds x14, x14, x11 __LF \ + umulh x11, x4, x8 __LF \ + adcs x0, x0, x11 __LF \ + umulh x11, x4, x9 __LF \ + adcs x1, x1, x11 __LF \ + adc x3, x3, xzr __LF \ + mul x11, x5, x7 __LF \ + adds x14, x14, x11 __LF \ + mul x11, x5, x8 __LF \ + adcs x0, x0, x11 __LF \ + mul x11, x5, x9 __LF \ + adcs x1, x1, x11 __LF \ + mul x11, x5, x10 __LF \ + adcs x3, x3, x11 __LF \ + umulh x4, x5, x10 __LF \ + adc x4, x4, xzr __LF \ + umulh x11, x5, x7 __LF \ + adds x0, x0, x11 __LF \ + umulh x11, x5, x8 __LF \ + adcs x1, x1, x11 __LF \ + umulh x11, x5, x9 __LF \ + adcs x3, x3, x11 __LF \ + adc x4, x4, xzr __LF \ + mul x11, x6, x7 __LF \ + adds x0, x0, x11 __LF \ + mul x11, x6, x8 __LF \ + adcs x1, x1, x11 __LF \ + mul x11, x6, x9 __LF \ + adcs x3, x3, x11 __LF \ + mul x11, x6, x10 __LF \ + adcs x4, x4, x11 __LF \ + umulh x5, x6, x10 __LF \ + adc x5, x5, xzr __LF \ + mov x10, #0xffffffff00000001 __LF \ + adds x13, x13, x12, lsl #32 __LF \ + lsr x11, x12, #32 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x12, x10 __LF \ + umulh x12, x12, x10 __LF \ + adcs x0, x0, x11 __LF \ + adc x12, x12, xzr __LF \ + umulh x11, x6, x7 __LF \ + adds x1, x1, x11 __LF \ + umulh x11, x6, x8 __LF \ + adcs x3, x3, x11 __LF \ + umulh x11, x6, x9 __LF \ + adcs x4, x4, x11 __LF \ + adc x5, x5, xzr __LF \ + adds x14, x14, x13, lsl #32 __LF \ + lsr x11, x13, #32 __LF \ + adcs x0, x0, x11 __LF \ + mul x11, x13, x10 __LF \ + umulh x13, x13, x10 __LF \ + adcs x12, x12, x11 __LF \ + adc x13, x13, xzr __LF \ + adds x0, x0, x14, lsl #32 __LF \ + lsr x11, x14, #32 __LF \ + adcs x12, x12, x11 __LF \ + mul x11, x14, x10 __LF \ + umulh x14, x14, x10 __LF \ + adcs x13, x13, x11 __LF \ + adc x14, x14, xzr __LF \ + adds x12, x12, x0, lsl #32 __LF \ + lsr x11, x0, #32 __LF \ + adcs x13, x13, x11 __LF \ + mul x11, x0, x10 __LF \ + umulh x0, x0, x10 __LF \ + adcs x14, x14, x11 __LF \ + adc x0, x0, xzr __LF \ + adds x12, x12, x1 __LF \ + adcs x13, x13, x3 __LF \ + adcs x14, x14, x4 __LF \ + adcs x0, x0, x5 __LF \ + cset x8, cs __LF \ + mov x11, #0xffffffff __LF \ + adds x1, x12, #0x1 __LF \ + sbcs x3, x13, x11 __LF \ + sbcs x4, x14, xzr __LF \ + sbcs x5, x0, x10 __LF \ + sbcs xzr, x8, xzr __LF \ + csel x12, x12, x1, cc __LF \ + csel x13, x13, x3, cc __LF \ + csel x14, x14, x4, cc __LF \ + csel x0, x0, x5, cc __LF \ + stp x12, x13, [P0] __LF \ + stp x14, x0, [P0+16] + +// Corresponds exactly to bignum_montsqr_p256_alt + +#define montsqr_p256(P0,P1) \ + ldp x2, x3, [P1] __LF \ + mul x9, x2, x3 __LF \ + umulh x10, x2, x3 __LF \ + ldp x4, x5, [P1+16] __LF \ + mul x11, x2, x5 __LF \ + umulh x12, x2, x5 __LF \ + mul x6, x2, x4 __LF \ + umulh x7, x2, x4 __LF \ + adds x10, x10, x6 __LF \ + adcs x11, x11, x7 __LF \ + mul x6, x3, x4 __LF \ + umulh x7, x3, x4 __LF \ + adc x7, x7, xzr __LF \ + adds x11, x11, x6 __LF \ + mul x13, x4, x5 __LF \ + umulh x14, x4, x5 __LF \ + adcs x12, x12, x7 __LF \ + mul x6, x3, x5 __LF \ + umulh x7, x3, x5 __LF \ + adc x7, x7, xzr __LF \ + adds x12, x12, x6 __LF \ + adcs x13, x13, x7 __LF \ + adc x14, x14, xzr __LF \ + adds x9, x9, x9 __LF \ + adcs x10, x10, x10 __LF \ + adcs x11, x11, x11 __LF \ + adcs x12, x12, x12 __LF \ + adcs x13, x13, x13 __LF \ + adcs x14, x14, x14 __LF \ + cset x7, hs __LF \ + umulh x6, x2, x2 __LF \ + mul x8, x2, x2 __LF \ + adds x9, x9, x6 __LF \ + mul x6, x3, x3 __LF \ + adcs x10, x10, x6 __LF \ + umulh x6, x3, x3 __LF \ + adcs x11, x11, x6 __LF \ + mul x6, x4, x4 __LF \ + adcs x12, x12, x6 __LF \ + umulh x6, x4, x4 __LF \ + adcs x13, x13, x6 __LF \ + mul x6, x5, x5 __LF \ + adcs x14, x14, x6 __LF \ + umulh x6, x5, x5 __LF \ + adc x7, x7, x6 __LF \ + mov x5, #-4294967295 __LF \ + adds x9, x9, x8, lsl #32 __LF \ + lsr x3, x8, #32 __LF \ + adcs x10, x10, x3 __LF \ + mul x2, x8, x5 __LF \ + umulh x8, x8, x5 __LF \ + adcs x11, x11, x2 __LF \ + adc x8, x8, xzr __LF \ + adds x10, x10, x9, lsl #32 __LF \ + lsr x3, x9, #32 __LF \ + adcs x11, x11, x3 __LF \ + mul x2, x9, x5 __LF \ + umulh x9, x9, x5 __LF \ + adcs x8, x8, x2 __LF \ + adc x9, x9, xzr __LF \ + adds x11, x11, x10, lsl #32 __LF \ + lsr x3, x10, #32 __LF \ + adcs x8, x8, x3 __LF \ + mul x2, x10, x5 __LF \ + umulh x10, x10, x5 __LF \ + adcs x9, x9, x2 __LF \ + adc x10, x10, xzr __LF \ + adds x8, x8, x11, lsl #32 __LF \ + lsr x3, x11, #32 __LF \ + adcs x9, x9, x3 __LF \ + mul x2, x11, x5 __LF \ + umulh x11, x11, x5 __LF \ + adcs x10, x10, x2 __LF \ + adc x11, x11, xzr __LF \ + adds x8, x8, x12 __LF \ + adcs x9, x9, x13 __LF \ + adcs x10, x10, x14 __LF \ + adcs x11, x11, x7 __LF \ + cset x2, hs __LF \ + mov x3, #4294967295 __LF \ + adds x12, x8, #1 __LF \ + sbcs x13, x9, x3 __LF \ + sbcs x14, x10, xzr __LF \ + sbcs x7, x11, x5 __LF \ + sbcs xzr, x2, xzr __LF \ + csel x8, x8, x12, lo __LF \ + csel x9, x9, x13, lo __LF \ + csel x10, x10, x14, lo __LF \ + csel x11, x11, x7, lo __LF \ + stp x8, x9, [P0] __LF \ + stp x10, x11, [P0+16] + +// Corresponds exactly to bignum_sub_p256 + +#define sub_p256(P0,P1,P2) \ + ldp x5, x6, [P1] __LF \ + ldp x4, x3, [P2] __LF \ + subs x5, x5, x4 __LF \ + sbcs x6, x6, x3 __LF \ + ldp x7, x8, [P1+16] __LF \ + ldp x4, x3, [P2+16] __LF \ + sbcs x7, x7, x4 __LF \ + sbcs x8, x8, x3 __LF \ + csetm x3, lo __LF \ + adds x5, x5, x3 __LF \ + and x4, x3, #0xffffffff __LF \ + adcs x6, x6, x4 __LF \ + adcs x7, x7, xzr __LF \ + and x4, x3, #0xffffffff00000001 __LF \ + adc x8, x8, x4 __LF \ + stp x5, x6, [P0] __LF \ + stp x7, x8, [P0+16] + +// Corresponds exactly to bignum_add_p256 + +#define add_p256(P0,P1,P2) \ + ldp x5, x6, [P1] __LF \ + ldp x4, x3, [P2] __LF \ + adds x5, x5, x4 __LF \ + adcs x6, x6, x3 __LF \ + ldp x7, x8, [P1+16] __LF \ + ldp x4, x3, [P2+16] __LF \ + adcs x7, x7, x4 __LF \ + adcs x8, x8, x3 __LF \ + adc x3, xzr, xzr __LF \ + cmn x5, #1 __LF \ + mov x4, #4294967295 __LF \ + sbcs xzr, x6, x4 __LF \ + sbcs xzr, x7, xzr __LF \ + mov x4, #-4294967295 __LF \ + sbcs xzr, x8, x4 __LF \ + adcs x3, x3, xzr __LF \ + csetm x3, ne __LF \ + subs x5, x5, x3 __LF \ + and x4, x3, #0xffffffff __LF \ + sbcs x6, x6, x4 __LF \ + sbcs x7, x7, xzr __LF \ + and x4, x3, #0xffffffff00000001 __LF \ + sbc x8, x8, x4 __LF \ + stp x5, x6, [P0] __LF \ + stp x7, x8, [P0+16] + +// A weak version of add that only guarantees sum in 4 digits + +#define weakadd_p256(P0,P1,P2) \ + ldp x5, x6, [P1] __LF \ + ldp x4, x3, [P2] __LF \ + adds x5, x5, x4 __LF \ + adcs x6, x6, x3 __LF \ + ldp x7, x8, [P1+16] __LF \ + ldp x4, x3, [P2+16] __LF \ + adcs x7, x7, x4 __LF \ + adcs x8, x8, x3 __LF \ + csetm x3, cs __LF \ + subs x5, x5, x3 __LF \ + and x1, x3, #4294967295 __LF \ + sbcs x6, x6, x1 __LF \ + sbcs x7, x7, xzr __LF \ + and x2, x3, #-4294967295 __LF \ + sbc x8, x8, x2 __LF \ + stp x5, x6, [P0] __LF \ + stp x7, x8, [P0+16] + +// P0 = C * P1 - D * P2 computed as D * (p_256 - P2) + C * P1 +// Quotient estimation is done just as q = h + 1 as in bignum_triple_p256 +// This also applies to the other functions following. + +#define cmsub_p256(P0,C,P1,D,P2) \ + mov x1, D __LF \ + mov x2, #-1 __LF \ + ldp x9, x10, [P2] __LF \ + subs x9, x2, x9 __LF \ + mov x2, #4294967295 __LF \ + sbcs x10, x2, x10 __LF \ + ldp x11, x12, [P2+16] __LF \ + sbcs x11, xzr, x11 __LF \ + mov x2, #-4294967295 __LF \ + sbc x12, x2, x12 __LF \ + mul x3, x1, x9 __LF \ + mul x4, x1, x10 __LF \ + mul x5, x1, x11 __LF \ + mul x6, x1, x12 __LF \ + umulh x9, x1, x9 __LF \ + umulh x10, x1, x10 __LF \ + umulh x11, x1, x11 __LF \ + umulh x7, x1, x12 __LF \ + adds x4, x4, x9 __LF \ + adcs x5, x5, x10 __LF \ + adcs x6, x6, x11 __LF \ + adc x7, x7, xzr __LF \ + mov x1, C __LF \ + ldp x9, x10, [P1] __LF \ + mul x8, x9, x1 __LF \ + umulh x9, x9, x1 __LF \ + adds x3, x3, x8 __LF \ + mul x8, x10, x1 __LF \ + umulh x10, x10, x1 __LF \ + adcs x4, x4, x8 __LF \ + ldp x11, x12, [P1+16] __LF \ + mul x8, x11, x1 __LF \ + umulh x11, x11, x1 __LF \ + adcs x5, x5, x8 __LF \ + mul x8, x12, x1 __LF \ + umulh x12, x12, x1 __LF \ + adcs x6, x6, x8 __LF \ + adc x7, x7, xzr __LF \ + adds x4, x4, x9 __LF \ + adcs x5, x5, x10 __LF \ + adcs x6, x6, x11 __LF \ + adc x7, x7, x12 __LF \ + add x8, x7, #1 __LF \ + lsl x10, x8, #32 __LF \ + adds x6, x6, x10 __LF \ + adc x7, x7, xzr __LF \ + neg x9, x8 __LF \ + sub x10, x10, #1 __LF \ + subs x3, x3, x9 __LF \ + sbcs x4, x4, x10 __LF \ + sbcs x5, x5, xzr __LF \ + sbcs x6, x6, x8 __LF \ + sbc x8, x7, x8 __LF \ + adds x3, x3, x8 __LF \ + and x9, x8, #4294967295 __LF \ + adcs x4, x4, x9 __LF \ + adcs x5, x5, xzr __LF \ + neg x10, x9 __LF \ + adc x6, x6, x10 __LF \ + stp x3, x4, [P0] __LF \ + stp x5, x6, [P0+16] + +// P0 = 4 * P1 - P2, by direct subtraction of P2; the method +// in bignum_cmul_p256 etc. for quotient estimation still +// works when the value to be reduced is negative, as +// long as it is > -p_256, which is the case here. The +// actual accumulation of q * p_256 is done a bit differently +// so it works for the q = 0 case. + +#define cmsub41_p256(P0,P1,P2) \ + ldp x1, x2, [P1] __LF \ + lsl x0, x1, #2 __LF \ + ldp x6, x7, [P2] __LF \ + subs x0, x0, x6 __LF \ + extr x1, x2, x1, #62 __LF \ + sbcs x1, x1, x7 __LF \ + ldp x3, x4, [P1+16] __LF \ + extr x2, x3, x2, #62 __LF \ + ldp x6, x7, [P2+16] __LF \ + sbcs x2, x2, x6 __LF \ + extr x3, x4, x3, #62 __LF \ + sbcs x3, x3, x7 __LF \ + lsr x4, x4, #62 __LF \ + sbc x4, x4, xzr __LF \ + add x5, x4, #1 __LF \ + lsl x8, x5, #32 __LF \ + subs x6, xzr, x8 __LF \ + sbcs x7, xzr, xzr __LF \ + sbc x8, x8, x5 __LF \ + adds x0, x0, x5 __LF \ + adcs x1, x1, x6 __LF \ + adcs x2, x2, x7 __LF \ + adcs x3, x3, x8 __LF \ + csetm x5, cc __LF \ + adds x0, x0, x5 __LF \ + and x6, x5, #4294967295 __LF \ + adcs x1, x1, x6 __LF \ + adcs x2, x2, xzr __LF \ + neg x7, x6 __LF \ + adc x3, x3, x7 __LF \ + stp x0, x1, [P0] __LF \ + stp x2, x3, [P0+16] + +// P0 = 3 * P1 - 8 * P2, computed as (p_256 - P2) << 3 + 3 * P1 + +#define cmsub38_p256(P0,P1,P2) \ + mov x1, 8 __LF \ + mov x2, #-1 __LF \ + ldp x9, x10, [P2] __LF \ + subs x9, x2, x9 __LF \ + mov x2, #4294967295 __LF \ + sbcs x10, x2, x10 __LF \ + ldp x11, x12, [P2+16] __LF \ + sbcs x11, xzr, x11 __LF \ + mov x2, #-4294967295 __LF \ + sbc x12, x2, x12 __LF \ + lsl x3, x9, #3 __LF \ + extr x4, x10, x9, #61 __LF \ + extr x5, x11, x10, #61 __LF \ + extr x6, x12, x11, #61 __LF \ + lsr x7, x12, #61 __LF \ + mov x1, 3 __LF \ + ldp x9, x10, [P1] __LF \ + mul x8, x9, x1 __LF \ + umulh x9, x9, x1 __LF \ + adds x3, x3, x8 __LF \ + mul x8, x10, x1 __LF \ + umulh x10, x10, x1 __LF \ + adcs x4, x4, x8 __LF \ + ldp x11, x12, [P1+16] __LF \ + mul x8, x11, x1 __LF \ + umulh x11, x11, x1 __LF \ + adcs x5, x5, x8 __LF \ + mul x8, x12, x1 __LF \ + umulh x12, x12, x1 __LF \ + adcs x6, x6, x8 __LF \ + adc x7, x7, xzr __LF \ + adds x4, x4, x9 __LF \ + adcs x5, x5, x10 __LF \ + adcs x6, x6, x11 __LF \ + adc x7, x7, x12 __LF \ + add x8, x7, #1 __LF \ + lsl x10, x8, #32 __LF \ + adds x6, x6, x10 __LF \ + adc x7, x7, xzr __LF \ + neg x9, x8 __LF \ + sub x10, x10, #1 __LF \ + subs x3, x3, x9 __LF \ + sbcs x4, x4, x10 __LF \ + sbcs x5, x5, xzr __LF \ + sbcs x6, x6, x8 __LF \ + sbc x8, x7, x8 __LF \ + adds x3, x3, x8 __LF \ + and x9, x8, #4294967295 __LF \ + adcs x4, x4, x9 __LF \ + adcs x5, x5, xzr __LF \ + neg x10, x9 __LF \ + adc x6, x6, x10 __LF \ + stp x3, x4, [P0] __LF \ + stp x5, x6, [P0+16] + +S2N_BN_SYMBOL(p256_montjdouble_alt): + CFI_START + +// Make room on stack for temporary variables + + CFI_DEC_SP(NSPACE) + +// Move the input arguments to stable places + + mov input_z, x0 + mov input_x, x1 + +// Main code, just a sequence of basic field operations + +// z2 = z^2 +// y2 = y^2 + + montsqr_p256(z2,z_1) + montsqr_p256(y2,y_1) + +// x2p = x^2 - z^4 = (x + z^2) * (x - z^2) + + sub_p256(t2,x_1,z2) + weakadd_p256(t1,x_1,z2) + montmul_p256(x2p,t1,t2) + +// t1 = y + z +// xy2 = x * y^2 +// x4p = x2p^2 + + add_p256(t1,y_1,z_1) + montmul_p256(xy2,x_1,y2) + montsqr_p256(x4p,x2p) + +// t1 = (y + z)^2 + + montsqr_p256(t1,t1) + +// d = 12 * xy2 - 9 * x4p +// t1 = y^2 + 2 * y * z + + cmsub_p256(d,12,xy2,9,x4p) + sub_p256(t1,t1,z2) + +// y4 = y^4 + + montsqr_p256(y4,y2) + +// dx2 = d * x2p + + montmul_p256(dx2,d,x2p) + +// z_3' = 2 * y * z + + sub_p256(z_3,t1,y2) + +// x' = 4 * xy2 - d + + cmsub41_p256(x_3,xy2,d) + +// y' = 3 * dx2 - 8 * y4 + + cmsub38_p256(y_3,dx2,y4) + +// Restore stack and return + + CFI_INC_SP(NSPACE) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p256_montjdouble_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/arm/p256_montjmixadd.S b/cbits/s2n/arm/p256_montjmixadd.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/p256_montjmixadd.S @@ -0,0 +1,513 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Point mixed addition on NIST curve P-256 in Montgomery-Jacobian coordinates +// +// extern void p256_montjmixadd(uint64_t p3[static 12], +// const uint64_t p1[static 12], +// const uint64_t p2[static 8]); +// +// Does p3 := p1 + p2 where all points are regarded as Jacobian triples with +// each coordinate in the Montgomery domain, i.e. x' = (2^256 * x) mod p_256. +// A Jacobian triple (x',y',z') represents affine point (x/z^2,y/z^3). +// The "mixed" part means that p2 only has x and y coordinates, with the +// implicit z coordinate assumed to be the identity. +// +// Standard ARM ABI: X0 = p3, X1 = p1, X2 = p2 +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p256_montjmixadd) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p256_montjmixadd) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p256_montjmixadd) + + .text + .balign 4 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Stable homes for input arguments during main code sequence + +#define input_z x17 +#define input_x x19 +#define input_y x20 + +// Pointer-offset pairs for inputs and outputs + +#define x_1 input_x, #0 +#define y_1 input_x, #NUMSIZE +#define z_1 input_x, #(2*NUMSIZE) + +#define x_2 input_y, #0 +#define y_2 input_y, #NUMSIZE + +#define x_3 input_z, #0 +#define y_3 input_z, #NUMSIZE +#define z_3 input_z, #(2*NUMSIZE) + +// Pointer-offset pairs for temporaries, with some aliasing +// #NSPACE is the total stack needed for these temporaries + +#define zp2 sp, #(NUMSIZE*0) +#define ww sp, #(NUMSIZE*0) +#define resx sp, #(NUMSIZE*0) + +#define yd sp, #(NUMSIZE*1) +#define y2a sp, #(NUMSIZE*1) + +#define x2a sp, #(NUMSIZE*2) +#define zzx2 sp, #(NUMSIZE*2) + +#define zz sp, #(NUMSIZE*3) +#define t1 sp, #(NUMSIZE*3) + +#define t2 sp, #(NUMSIZE*4) +#define zzx1 sp, #(NUMSIZE*4) +#define resy sp, #(NUMSIZE*4) + +#define xd sp, #(NUMSIZE*5) +#define resz sp, #(NUMSIZE*5) + +#define NSPACE NUMSIZE*6 + +// Corresponds to bignum_montmul_p256 but uses x0 in place of x17 + +#define montmul_p256(P0,P1,P2) \ + ldp x3, x4, [P1] __LF \ + ldp x5, x6, [P1+16] __LF \ + ldp x7, x8, [P2] __LF \ + ldp x9, x10, [P2+16] __LF \ + mul x11, x3, x7 __LF \ + mul x13, x4, x8 __LF \ + umulh x12, x3, x7 __LF \ + adds x16, x11, x13 __LF \ + umulh x14, x4, x8 __LF \ + adcs x0, x12, x14 __LF \ + adcs x14, x14, xzr __LF \ + adds x12, x12, x16 __LF \ + adcs x13, x13, x0 __LF \ + adcs x14, x14, xzr __LF \ + subs x15, x3, x4 __LF \ + cneg x15, x15, lo __LF \ + csetm x1, lo __LF \ + subs x0, x8, x7 __LF \ + cneg x0, x0, lo __LF \ + mul x16, x15, x0 __LF \ + umulh x0, x15, x0 __LF \ + cinv x1, x1, lo __LF \ + eor x16, x16, x1 __LF \ + eor x0, x0, x1 __LF \ + cmn x1, #1 __LF \ + adcs x12, x12, x16 __LF \ + adcs x13, x13, x0 __LF \ + adc x14, x14, x1 __LF \ + lsl x0, x11, #32 __LF \ + subs x1, x11, x0 __LF \ + lsr x16, x11, #32 __LF \ + sbc x11, x11, x16 __LF \ + adds x12, x12, x0 __LF \ + adcs x13, x13, x16 __LF \ + adcs x14, x14, x1 __LF \ + adc x11, x11, xzr __LF \ + lsl x0, x12, #32 __LF \ + subs x1, x12, x0 __LF \ + lsr x16, x12, #32 __LF \ + sbc x12, x12, x16 __LF \ + adds x13, x13, x0 __LF \ + adcs x14, x14, x16 __LF \ + adcs x11, x11, x1 __LF \ + adc x12, x12, xzr __LF \ + stp x13, x14, [P0] __LF \ + stp x11, x12, [P0+16] __LF \ + mul x11, x5, x9 __LF \ + mul x13, x6, x10 __LF \ + umulh x12, x5, x9 __LF \ + adds x16, x11, x13 __LF \ + umulh x14, x6, x10 __LF \ + adcs x0, x12, x14 __LF \ + adcs x14, x14, xzr __LF \ + adds x12, x12, x16 __LF \ + adcs x13, x13, x0 __LF \ + adcs x14, x14, xzr __LF \ + subs x15, x5, x6 __LF \ + cneg x15, x15, lo __LF \ + csetm x1, lo __LF \ + subs x0, x10, x9 __LF \ + cneg x0, x0, lo __LF \ + mul x16, x15, x0 __LF \ + umulh x0, x15, x0 __LF \ + cinv x1, x1, lo __LF \ + eor x16, x16, x1 __LF \ + eor x0, x0, x1 __LF \ + cmn x1, #1 __LF \ + adcs x12, x12, x16 __LF \ + adcs x13, x13, x0 __LF \ + adc x14, x14, x1 __LF \ + subs x3, x5, x3 __LF \ + sbcs x4, x6, x4 __LF \ + ngc x5, xzr __LF \ + cmn x5, #1 __LF \ + eor x3, x3, x5 __LF \ + adcs x3, x3, xzr __LF \ + eor x4, x4, x5 __LF \ + adcs x4, x4, xzr __LF \ + subs x7, x7, x9 __LF \ + sbcs x8, x8, x10 __LF \ + ngc x9, xzr __LF \ + cmn x9, #1 __LF \ + eor x7, x7, x9 __LF \ + adcs x7, x7, xzr __LF \ + eor x8, x8, x9 __LF \ + adcs x8, x8, xzr __LF \ + eor x10, x5, x9 __LF \ + ldp x15, x1, [P0] __LF \ + adds x15, x11, x15 __LF \ + adcs x1, x12, x1 __LF \ + ldp x5, x9, [P0+16] __LF \ + adcs x5, x13, x5 __LF \ + adcs x9, x14, x9 __LF \ + adc x2, xzr, xzr __LF \ + mul x11, x3, x7 __LF \ + mul x13, x4, x8 __LF \ + umulh x12, x3, x7 __LF \ + adds x16, x11, x13 __LF \ + umulh x14, x4, x8 __LF \ + adcs x0, x12, x14 __LF \ + adcs x14, x14, xzr __LF \ + adds x12, x12, x16 __LF \ + adcs x13, x13, x0 __LF \ + adcs x14, x14, xzr __LF \ + subs x3, x3, x4 __LF \ + cneg x3, x3, lo __LF \ + csetm x4, lo __LF \ + subs x0, x8, x7 __LF \ + cneg x0, x0, lo __LF \ + mul x16, x3, x0 __LF \ + umulh x0, x3, x0 __LF \ + cinv x4, x4, lo __LF \ + eor x16, x16, x4 __LF \ + eor x0, x0, x4 __LF \ + cmn x4, #1 __LF \ + adcs x12, x12, x16 __LF \ + adcs x13, x13, x0 __LF \ + adc x14, x14, x4 __LF \ + cmn x10, #1 __LF \ + eor x11, x11, x10 __LF \ + adcs x11, x11, x15 __LF \ + eor x12, x12, x10 __LF \ + adcs x12, x12, x1 __LF \ + eor x13, x13, x10 __LF \ + adcs x13, x13, x5 __LF \ + eor x14, x14, x10 __LF \ + adcs x14, x14, x9 __LF \ + adcs x3, x2, x10 __LF \ + adcs x4, x10, xzr __LF \ + adc x10, x10, xzr __LF \ + adds x13, x13, x15 __LF \ + adcs x14, x14, x1 __LF \ + adcs x3, x3, x5 __LF \ + adcs x4, x4, x9 __LF \ + adc x10, x10, x2 __LF \ + lsl x0, x11, #32 __LF \ + subs x1, x11, x0 __LF \ + lsr x16, x11, #32 __LF \ + sbc x11, x11, x16 __LF \ + adds x12, x12, x0 __LF \ + adcs x13, x13, x16 __LF \ + adcs x14, x14, x1 __LF \ + adc x11, x11, xzr __LF \ + lsl x0, x12, #32 __LF \ + subs x1, x12, x0 __LF \ + lsr x16, x12, #32 __LF \ + sbc x12, x12, x16 __LF \ + adds x13, x13, x0 __LF \ + adcs x14, x14, x16 __LF \ + adcs x11, x11, x1 __LF \ + adc x12, x12, xzr __LF \ + adds x3, x3, x11 __LF \ + adcs x4, x4, x12 __LF \ + adc x10, x10, xzr __LF \ + add x2, x10, #1 __LF \ + lsl x16, x2, #32 __LF \ + adds x4, x4, x16 __LF \ + adc x10, x10, xzr __LF \ + neg x15, x2 __LF \ + sub x16, x16, #1 __LF \ + subs x13, x13, x15 __LF \ + sbcs x14, x14, x16 __LF \ + sbcs x3, x3, xzr __LF \ + sbcs x4, x4, x2 __LF \ + sbcs x7, x10, x2 __LF \ + adds x13, x13, x7 __LF \ + mov x10, #4294967295 __LF \ + and x10, x10, x7 __LF \ + adcs x14, x14, x10 __LF \ + adcs x3, x3, xzr __LF \ + mov x10, #-4294967295 __LF \ + and x10, x10, x7 __LF \ + adc x4, x4, x10 __LF \ + stp x13, x14, [P0] __LF \ + stp x3, x4, [P0+16] + +// Corresponds to bignum_montsqr_p256 but uses x0 in place of x17 + +#define montsqr_p256(P0,P1) \ + ldp x2, x3, [P1] __LF \ + ldp x4, x5, [P1+16] __LF \ + umull x15, w2, w2 __LF \ + lsr x11, x2, #32 __LF \ + umull x16, w11, w11 __LF \ + umull x11, w2, w11 __LF \ + adds x15, x15, x11, lsl #33 __LF \ + lsr x11, x11, #31 __LF \ + adc x16, x16, x11 __LF \ + umull x0, w3, w3 __LF \ + lsr x11, x3, #32 __LF \ + umull x1, w11, w11 __LF \ + umull x11, w3, w11 __LF \ + mul x12, x2, x3 __LF \ + umulh x13, x2, x3 __LF \ + adds x0, x0, x11, lsl #33 __LF \ + lsr x11, x11, #31 __LF \ + adc x1, x1, x11 __LF \ + adds x12, x12, x12 __LF \ + adcs x13, x13, x13 __LF \ + adc x1, x1, xzr __LF \ + adds x16, x16, x12 __LF \ + adcs x0, x0, x13 __LF \ + adc x1, x1, xzr __LF \ + lsl x12, x15, #32 __LF \ + subs x13, x15, x12 __LF \ + lsr x11, x15, #32 __LF \ + sbc x15, x15, x11 __LF \ + adds x16, x16, x12 __LF \ + adcs x0, x0, x11 __LF \ + adcs x1, x1, x13 __LF \ + adc x15, x15, xzr __LF \ + lsl x12, x16, #32 __LF \ + subs x13, x16, x12 __LF \ + lsr x11, x16, #32 __LF \ + sbc x16, x16, x11 __LF \ + adds x0, x0, x12 __LF \ + adcs x1, x1, x11 __LF \ + adcs x15, x15, x13 __LF \ + adc x16, x16, xzr __LF \ + mul x6, x2, x4 __LF \ + mul x14, x3, x5 __LF \ + umulh x8, x2, x4 __LF \ + subs x10, x2, x3 __LF \ + cneg x10, x10, lo __LF \ + csetm x13, lo __LF \ + subs x12, x5, x4 __LF \ + cneg x12, x12, lo __LF \ + mul x11, x10, x12 __LF \ + umulh x12, x10, x12 __LF \ + cinv x13, x13, lo __LF \ + eor x11, x11, x13 __LF \ + eor x12, x12, x13 __LF \ + adds x7, x6, x8 __LF \ + adc x8, x8, xzr __LF \ + umulh x9, x3, x5 __LF \ + adds x7, x7, x14 __LF \ + adcs x8, x8, x9 __LF \ + adc x9, x9, xzr __LF \ + adds x8, x8, x14 __LF \ + adc x9, x9, xzr __LF \ + cmn x13, #1 __LF \ + adcs x7, x7, x11 __LF \ + adcs x8, x8, x12 __LF \ + adc x9, x9, x13 __LF \ + adds x6, x6, x6 __LF \ + adcs x7, x7, x7 __LF \ + adcs x8, x8, x8 __LF \ + adcs x9, x9, x9 __LF \ + adc x10, xzr, xzr __LF \ + adds x6, x6, x0 __LF \ + adcs x7, x7, x1 __LF \ + adcs x8, x8, x15 __LF \ + adcs x9, x9, x16 __LF \ + adc x10, x10, xzr __LF \ + lsl x12, x6, #32 __LF \ + subs x13, x6, x12 __LF \ + lsr x11, x6, #32 __LF \ + sbc x6, x6, x11 __LF \ + adds x7, x7, x12 __LF \ + adcs x8, x8, x11 __LF \ + adcs x9, x9, x13 __LF \ + adcs x10, x10, x6 __LF \ + adc x6, xzr, xzr __LF \ + lsl x12, x7, #32 __LF \ + subs x13, x7, x12 __LF \ + lsr x11, x7, #32 __LF \ + sbc x7, x7, x11 __LF \ + adds x8, x8, x12 __LF \ + adcs x9, x9, x11 __LF \ + adcs x10, x10, x13 __LF \ + adcs x6, x6, x7 __LF \ + adc x7, xzr, xzr __LF \ + mul x11, x4, x4 __LF \ + adds x8, x8, x11 __LF \ + mul x12, x5, x5 __LF \ + umulh x11, x4, x4 __LF \ + adcs x9, x9, x11 __LF \ + adcs x10, x10, x12 __LF \ + umulh x12, x5, x5 __LF \ + adcs x6, x6, x12 __LF \ + adc x7, x7, xzr __LF \ + mul x11, x4, x5 __LF \ + umulh x12, x4, x5 __LF \ + adds x11, x11, x11 __LF \ + adcs x12, x12, x12 __LF \ + adc x13, xzr, xzr __LF \ + adds x9, x9, x11 __LF \ + adcs x10, x10, x12 __LF \ + adcs x6, x6, x13 __LF \ + adcs x7, x7, xzr __LF \ + mov x11, #4294967295 __LF \ + adds x5, x8, #1 __LF \ + sbcs x11, x9, x11 __LF \ + mov x13, #-4294967295 __LF \ + sbcs x12, x10, xzr __LF \ + sbcs x13, x6, x13 __LF \ + sbcs xzr, x7, xzr __LF \ + csel x8, x5, x8, hs __LF \ + csel x9, x11, x9, hs __LF \ + csel x10, x12, x10, hs __LF \ + csel x6, x13, x6, hs __LF \ + stp x8, x9, [P0] __LF \ + stp x10, x6, [P0+16] + +// Corresponds exactly to bignum_sub_p256 + +#define sub_p256(P0,P1,P2) \ + ldp x5, x6, [P1] __LF \ + ldp x4, x3, [P2] __LF \ + subs x5, x5, x4 __LF \ + sbcs x6, x6, x3 __LF \ + ldp x7, x8, [P1+16] __LF \ + ldp x4, x3, [P2+16] __LF \ + sbcs x7, x7, x4 __LF \ + sbcs x8, x8, x3 __LF \ + csetm x3, cc __LF \ + adds x5, x5, x3 __LF \ + mov x4, #0xffffffff __LF \ + and x4, x4, x3 __LF \ + adcs x6, x6, x4 __LF \ + adcs x7, x7, xzr __LF \ + mov x4, #0xffffffff00000001 __LF \ + and x4, x4, x3 __LF \ + adc x8, x8, x4 __LF \ + stp x5, x6, [P0] __LF \ + stp x7, x8, [P0+16] + +S2N_BN_SYMBOL(p256_montjmixadd): + CFI_START + +// Save regs and make room on stack for temporary variables + + CFI_PUSH2(x19,x20) + CFI_DEC_SP(NSPACE) + +// Move the input arguments to stable places + + mov input_z, x0 + mov input_x, x1 + mov input_y, x2 + +// Main code, just a sequence of basic field operations +// 8 * multiply + 3 * square + 7 * subtract + + montsqr_p256(zp2,z_1) + montmul_p256(y2a,z_1,y_2) + + montmul_p256(x2a,zp2,x_2) + montmul_p256(y2a,zp2,y2a) + + sub_p256(xd,x2a,x_1) + sub_p256(yd,y2a,y_1) + + montsqr_p256(zz,xd) + montsqr_p256(ww,yd) + + montmul_p256(zzx1,zz,x_1) + montmul_p256(zzx2,zz,x2a) + + sub_p256(resx,ww,zzx1) + sub_p256(t1,zzx2,zzx1) + + montmul_p256(resz,xd,z_1) + + sub_p256(resx,resx,zzx2) + + sub_p256(t2,zzx1,resx) + + montmul_p256(t1,t1,y_1) + montmul_p256(t2,yd,t2) + + sub_p256(resy,t2,t1) + +// Test if z_1 = 0 to decide if p1 = 0 (up to projective equivalence) + + ldp x0, x1, [z_1] + ldp x2, x3, [z_1+16] + orr x4, x0, x1 + orr x5, x2, x3 + orr x4, x4, x5 + cmp x4, xzr + +// Multiplex: if p1 <> 0 just copy the computed result from the staging area. +// If p1 = 0 then return the point p2 augmented with a z = 1 coordinate (in +// Montgomery form so not the simple constant 1 but rather 2^256 - p_256), +// hence giving 0 + p2 = p2 for the final result. + + ldp x0, x1, [resx] + ldp x12, x13, [x_2] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x2, x3, [resx+16] + ldp x12, x13, [x_2+16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + + ldp x4, x5, [resy] + ldp x12, x13, [y_2] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x6, x7, [resy+16] + ldp x12, x13, [y_2+16] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + + ldp x8, x9, [resz] + mov x12, #0x0000000000000001 + mov x13, #0xffffffff00000000 + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x10, x11, [resz+16] + mov x12, #0xffffffffffffffff + mov x13, #0x00000000fffffffe + csel x10, x10, x12, ne + csel x11, x11, x13, ne + + stp x0, x1, [x_3] + stp x2, x3, [x_3+16] + stp x4, x5, [y_3] + stp x6, x7, [y_3+16] + stp x8, x9, [z_3] + stp x10, x11, [z_3+16] + +// Restore registers and return + + CFI_INC_SP(NSPACE) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p256_montjmixadd) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/arm/p256_montjmixadd_alt.S b/cbits/s2n/arm/p256_montjmixadd_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/p256_montjmixadd_alt.S @@ -0,0 +1,517 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Point mixed addition on NIST curve P-256 in Montgomery-Jacobian coordinates +// +// extern void p256_montjmixadd_alt(uint64_t p3[static 12], +// const uint64_t p1[static 12], +// const uint64_t p2[static 8]); +// +// Does p3 := p1 + p2 where all points are regarded as Jacobian triples with +// each coordinate in the Montgomery domain, i.e. x' = (2^256 * x) mod p_256. +// A Jacobian triple (x',y',z') represents affine point (x/z^2,y/z^3). +// The "mixed" part means that p2 only has x and y coordinates, with the +// implicit z coordinate assumed to be the identity. +// +// Standard ARM ABI: X0 = p3, X1 = p1, X2 = p2 +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p256_montjmixadd_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p256_montjmixadd_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p256_montjmixadd_alt) + + .text + .balign 4 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Stable homes for input arguments during main code sequence + +#define input_z x15 +#define input_x x16 +#define input_y x17 + +// Pointer-offset pairs for inputs and outputs + +#define x_1 input_x, #0 +#define y_1 input_x, #NUMSIZE +#define z_1 input_x, #(2*NUMSIZE) + +#define x_2 input_y, #0 +#define y_2 input_y, #NUMSIZE + +#define x_3 input_z, #0 +#define y_3 input_z, #NUMSIZE +#define z_3 input_z, #(2*NUMSIZE) + +// Pointer-offset pairs for temporaries, with some aliasing +// #NSPACE is the total stack needed for these temporaries + +#define zp2 sp, #(NUMSIZE*0) +#define ww sp, #(NUMSIZE*0) +#define resx sp, #(NUMSIZE*0) + +#define yd sp, #(NUMSIZE*1) +#define y2a sp, #(NUMSIZE*1) + +#define x2a sp, #(NUMSIZE*2) +#define zzx2 sp, #(NUMSIZE*2) + +#define zz sp, #(NUMSIZE*3) +#define t1 sp, #(NUMSIZE*3) + +#define t2 sp, #(NUMSIZE*4) +#define zzx1 sp, #(NUMSIZE*4) +#define resy sp, #(NUMSIZE*4) + +#define xd sp, #(NUMSIZE*5) +#define resz sp, #(NUMSIZE*5) + +#define NSPACE NUMSIZE*6 + +// Corresponds to bignum_montmul_p256_alt except registers + +#define montmul_p256(P0,P1,P2) \ + ldp x3, x4, [P1] __LF \ + ldp x7, x8, [P2] __LF \ + mul x12, x3, x7 __LF \ + umulh x13, x3, x7 __LF \ + mul x11, x3, x8 __LF \ + umulh x14, x3, x8 __LF \ + adds x13, x13, x11 __LF \ + ldp x9, x10, [P2+16] __LF \ + mul x11, x3, x9 __LF \ + umulh x0, x3, x9 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x3, x10 __LF \ + umulh x1, x3, x10 __LF \ + adcs x0, x0, x11 __LF \ + adc x1, x1, xzr __LF \ + ldp x5, x6, [P1+16] __LF \ + mul x11, x4, x7 __LF \ + adds x13, x13, x11 __LF \ + mul x11, x4, x8 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x4, x9 __LF \ + adcs x0, x0, x11 __LF \ + mul x11, x4, x10 __LF \ + adcs x1, x1, x11 __LF \ + umulh x3, x4, x10 __LF \ + adc x3, x3, xzr __LF \ + umulh x11, x4, x7 __LF \ + adds x14, x14, x11 __LF \ + umulh x11, x4, x8 __LF \ + adcs x0, x0, x11 __LF \ + umulh x11, x4, x9 __LF \ + adcs x1, x1, x11 __LF \ + adc x3, x3, xzr __LF \ + mul x11, x5, x7 __LF \ + adds x14, x14, x11 __LF \ + mul x11, x5, x8 __LF \ + adcs x0, x0, x11 __LF \ + mul x11, x5, x9 __LF \ + adcs x1, x1, x11 __LF \ + mul x11, x5, x10 __LF \ + adcs x3, x3, x11 __LF \ + umulh x4, x5, x10 __LF \ + adc x4, x4, xzr __LF \ + umulh x11, x5, x7 __LF \ + adds x0, x0, x11 __LF \ + umulh x11, x5, x8 __LF \ + adcs x1, x1, x11 __LF \ + umulh x11, x5, x9 __LF \ + adcs x3, x3, x11 __LF \ + adc x4, x4, xzr __LF \ + mul x11, x6, x7 __LF \ + adds x0, x0, x11 __LF \ + mul x11, x6, x8 __LF \ + adcs x1, x1, x11 __LF \ + mul x11, x6, x9 __LF \ + adcs x3, x3, x11 __LF \ + mul x11, x6, x10 __LF \ + adcs x4, x4, x11 __LF \ + umulh x5, x6, x10 __LF \ + adc x5, x5, xzr __LF \ + mov x10, #0xffffffff00000001 __LF \ + adds x13, x13, x12, lsl #32 __LF \ + lsr x11, x12, #32 __LF \ + adcs x14, x14, x11 __LF \ + mul x11, x12, x10 __LF \ + umulh x12, x12, x10 __LF \ + adcs x0, x0, x11 __LF \ + adc x12, x12, xzr __LF \ + umulh x11, x6, x7 __LF \ + adds x1, x1, x11 __LF \ + umulh x11, x6, x8 __LF \ + adcs x3, x3, x11 __LF \ + umulh x11, x6, x9 __LF \ + adcs x4, x4, x11 __LF \ + adc x5, x5, xzr __LF \ + adds x14, x14, x13, lsl #32 __LF \ + lsr x11, x13, #32 __LF \ + adcs x0, x0, x11 __LF \ + mul x11, x13, x10 __LF \ + umulh x13, x13, x10 __LF \ + adcs x12, x12, x11 __LF \ + adc x13, x13, xzr __LF \ + adds x0, x0, x14, lsl #32 __LF \ + lsr x11, x14, #32 __LF \ + adcs x12, x12, x11 __LF \ + mul x11, x14, x10 __LF \ + umulh x14, x14, x10 __LF \ + adcs x13, x13, x11 __LF \ + adc x14, x14, xzr __LF \ + adds x12, x12, x0, lsl #32 __LF \ + lsr x11, x0, #32 __LF \ + adcs x13, x13, x11 __LF \ + mul x11, x0, x10 __LF \ + umulh x0, x0, x10 __LF \ + adcs x14, x14, x11 __LF \ + adc x0, x0, xzr __LF \ + adds x12, x12, x1 __LF \ + adcs x13, x13, x3 __LF \ + adcs x14, x14, x4 __LF \ + adcs x0, x0, x5 __LF \ + cset x8, cs __LF \ + mov x11, #0xffffffff __LF \ + adds x1, x12, #0x1 __LF \ + sbcs x3, x13, x11 __LF \ + sbcs x4, x14, xzr __LF \ + sbcs x5, x0, x10 __LF \ + sbcs xzr, x8, xzr __LF \ + csel x12, x12, x1, cc __LF \ + csel x13, x13, x3, cc __LF \ + csel x14, x14, x4, cc __LF \ + csel x0, x0, x5, cc __LF \ + stp x12, x13, [P0] __LF \ + stp x14, x0, [P0+16] + +// Corresponds exactly to bignum_montsqr_p256_alt + +#define montsqr_p256(P0,P1) \ + ldp x2, x3, [P1] __LF \ + mul x9, x2, x3 __LF \ + umulh x10, x2, x3 __LF \ + ldp x4, x5, [P1+16] __LF \ + mul x11, x2, x5 __LF \ + umulh x12, x2, x5 __LF \ + mul x6, x2, x4 __LF \ + umulh x7, x2, x4 __LF \ + adds x10, x10, x6 __LF \ + adcs x11, x11, x7 __LF \ + mul x6, x3, x4 __LF \ + umulh x7, x3, x4 __LF \ + adc x7, x7, xzr __LF \ + adds x11, x11, x6 __LF \ + mul x13, x4, x5 __LF \ + umulh x14, x4, x5 __LF \ + adcs x12, x12, x7 __LF \ + mul x6, x3, x5 __LF \ + umulh x7, x3, x5 __LF \ + adc x7, x7, xzr __LF \ + adds x12, x12, x6 __LF \ + adcs x13, x13, x7 __LF \ + adc x14, x14, xzr __LF \ + adds x9, x9, x9 __LF \ + adcs x10, x10, x10 __LF \ + adcs x11, x11, x11 __LF \ + adcs x12, x12, x12 __LF \ + adcs x13, x13, x13 __LF \ + adcs x14, x14, x14 __LF \ + cset x7, cs __LF \ + umulh x6, x2, x2 __LF \ + mul x8, x2, x2 __LF \ + adds x9, x9, x6 __LF \ + mul x6, x3, x3 __LF \ + adcs x10, x10, x6 __LF \ + umulh x6, x3, x3 __LF \ + adcs x11, x11, x6 __LF \ + mul x6, x4, x4 __LF \ + adcs x12, x12, x6 __LF \ + umulh x6, x4, x4 __LF \ + adcs x13, x13, x6 __LF \ + mul x6, x5, x5 __LF \ + adcs x14, x14, x6 __LF \ + umulh x6, x5, x5 __LF \ + adc x7, x7, x6 __LF \ + adds x9, x9, x8, lsl #32 __LF \ + lsr x3, x8, #32 __LF \ + adcs x10, x10, x3 __LF \ + mov x3, #0xffffffff00000001 __LF \ + mul x2, x8, x3 __LF \ + umulh x8, x8, x3 __LF \ + adcs x11, x11, x2 __LF \ + adc x8, x8, xzr __LF \ + adds x10, x10, x9, lsl #32 __LF \ + lsr x3, x9, #32 __LF \ + adcs x11, x11, x3 __LF \ + mov x3, #0xffffffff00000001 __LF \ + mul x2, x9, x3 __LF \ + umulh x9, x9, x3 __LF \ + adcs x8, x8, x2 __LF \ + adc x9, x9, xzr __LF \ + adds x11, x11, x10, lsl #32 __LF \ + lsr x3, x10, #32 __LF \ + adcs x8, x8, x3 __LF \ + mov x3, #0xffffffff00000001 __LF \ + mul x2, x10, x3 __LF \ + umulh x10, x10, x3 __LF \ + adcs x9, x9, x2 __LF \ + adc x10, x10, xzr __LF \ + adds x8, x8, x11, lsl #32 __LF \ + lsr x3, x11, #32 __LF \ + adcs x9, x9, x3 __LF \ + mov x3, #0xffffffff00000001 __LF \ + mul x2, x11, x3 __LF \ + umulh x11, x11, x3 __LF \ + adcs x10, x10, x2 __LF \ + adc x11, x11, xzr __LF \ + adds x8, x8, x12 __LF \ + adcs x9, x9, x13 __LF \ + adcs x10, x10, x14 __LF \ + adcs x11, x11, x7 __LF \ + cset x2, cs __LF \ + mov x3, #0xffffffff __LF \ + mov x5, #0xffffffff00000001 __LF \ + adds x12, x8, #0x1 __LF \ + sbcs x13, x9, x3 __LF \ + sbcs x14, x10, xzr __LF \ + sbcs x7, x11, x5 __LF \ + sbcs xzr, x2, xzr __LF \ + csel x8, x8, x12, cc __LF \ + csel x9, x9, x13, cc __LF \ + csel x10, x10, x14, cc __LF \ + csel x11, x11, x7, cc __LF \ + stp x8, x9, [P0] __LF \ + stp x10, x11, [P0+16] + +// Almost-Montgomery variant which we use when an input to other muls +// with the other argument fully reduced (which is always safe). + +#define amontsqr_p256(P0,P1) \ + ldp x2, x3, [P1] __LF \ + mul x9, x2, x3 __LF \ + umulh x10, x2, x3 __LF \ + ldp x4, x5, [P1+16] __LF \ + mul x11, x2, x5 __LF \ + umulh x12, x2, x5 __LF \ + mul x6, x2, x4 __LF \ + umulh x7, x2, x4 __LF \ + adds x10, x10, x6 __LF \ + adcs x11, x11, x7 __LF \ + mul x6, x3, x4 __LF \ + umulh x7, x3, x4 __LF \ + adc x7, x7, xzr __LF \ + adds x11, x11, x6 __LF \ + mul x13, x4, x5 __LF \ + umulh x14, x4, x5 __LF \ + adcs x12, x12, x7 __LF \ + mul x6, x3, x5 __LF \ + umulh x7, x3, x5 __LF \ + adc x7, x7, xzr __LF \ + adds x12, x12, x6 __LF \ + adcs x13, x13, x7 __LF \ + adc x14, x14, xzr __LF \ + adds x9, x9, x9 __LF \ + adcs x10, x10, x10 __LF \ + adcs x11, x11, x11 __LF \ + adcs x12, x12, x12 __LF \ + adcs x13, x13, x13 __LF \ + adcs x14, x14, x14 __LF \ + cset x7, cs __LF \ + umulh x6, x2, x2 __LF \ + mul x8, x2, x2 __LF \ + adds x9, x9, x6 __LF \ + mul x6, x3, x3 __LF \ + adcs x10, x10, x6 __LF \ + umulh x6, x3, x3 __LF \ + adcs x11, x11, x6 __LF \ + mul x6, x4, x4 __LF \ + adcs x12, x12, x6 __LF \ + umulh x6, x4, x4 __LF \ + adcs x13, x13, x6 __LF \ + mul x6, x5, x5 __LF \ + adcs x14, x14, x6 __LF \ + umulh x6, x5, x5 __LF \ + adc x7, x7, x6 __LF \ + adds x9, x9, x8, lsl #32 __LF \ + lsr x3, x8, #32 __LF \ + adcs x10, x10, x3 __LF \ + mov x3, #0xffffffff00000001 __LF \ + mul x2, x8, x3 __LF \ + umulh x8, x8, x3 __LF \ + adcs x11, x11, x2 __LF \ + adc x8, x8, xzr __LF \ + adds x10, x10, x9, lsl #32 __LF \ + lsr x3, x9, #32 __LF \ + adcs x11, x11, x3 __LF \ + mov x3, #0xffffffff00000001 __LF \ + mul x2, x9, x3 __LF \ + umulh x9, x9, x3 __LF \ + adcs x8, x8, x2 __LF \ + adc x9, x9, xzr __LF \ + adds x11, x11, x10, lsl #32 __LF \ + lsr x3, x10, #32 __LF \ + adcs x8, x8, x3 __LF \ + mov x3, #0xffffffff00000001 __LF \ + mul x2, x10, x3 __LF \ + umulh x10, x10, x3 __LF \ + adcs x9, x9, x2 __LF \ + adc x10, x10, xzr __LF \ + adds x8, x8, x11, lsl #32 __LF \ + lsr x3, x11, #32 __LF \ + adcs x9, x9, x3 __LF \ + mov x3, #0xffffffff00000001 __LF \ + mul x2, x11, x3 __LF \ + umulh x11, x11, x3 __LF \ + adcs x10, x10, x2 __LF \ + adc x11, x11, xzr __LF \ + adds x8, x8, x12 __LF \ + adcs x9, x9, x13 __LF \ + adcs x10, x10, x14 __LF \ + adcs x11, x11, x7 __LF \ + mov x2, #0xffffffffffffffff __LF \ + csel x2, xzr, x2, cc __LF \ + mov x3, #0xffffffff __LF \ + csel x3, xzr, x3, cc __LF \ + mov x5, #0xffffffff00000001 __LF \ + csel x5, xzr, x5, cc __LF \ + subs x8, x8, x2 __LF \ + sbcs x9, x9, x3 __LF \ + sbcs x10, x10, xzr __LF \ + sbc x11, x11, x5 __LF \ + stp x8, x9, [P0] __LF \ + stp x10, x11, [P0+16] + +// Corresponds exactly to bignum_sub_p256 + +#define sub_p256(P0,P1,P2) \ + ldp x5, x6, [P1] __LF \ + ldp x4, x3, [P2] __LF \ + subs x5, x5, x4 __LF \ + sbcs x6, x6, x3 __LF \ + ldp x7, x8, [P1+16] __LF \ + ldp x4, x3, [P2+16] __LF \ + sbcs x7, x7, x4 __LF \ + sbcs x8, x8, x3 __LF \ + csetm x3, cc __LF \ + adds x5, x5, x3 __LF \ + mov x4, #0xffffffff __LF \ + and x4, x4, x3 __LF \ + adcs x6, x6, x4 __LF \ + adcs x7, x7, xzr __LF \ + mov x4, #0xffffffff00000001 __LF \ + and x4, x4, x3 __LF \ + adc x8, x8, x4 __LF \ + stp x5, x6, [P0] __LF \ + stp x7, x8, [P0+16] + +S2N_BN_SYMBOL(p256_montjmixadd_alt): + CFI_START + +// Make room on stack for temporary variables +// Move the input arguments to stable places + + CFI_DEC_SP(NSPACE) + + mov input_z, x0 + mov input_x, x1 + mov input_y, x2 + +// Main code, just a sequence of basic field operations +// 8 * multiply + 3 * square + 7 * subtract + + amontsqr_p256(zp2,z_1) + montmul_p256(y2a,z_1,y_2) + + montmul_p256(x2a,zp2,x_2) + montmul_p256(y2a,zp2,y2a) + + sub_p256(xd,x2a,x_1) + sub_p256(yd,y2a,y_1) + + amontsqr_p256(zz,xd) + montsqr_p256(ww,yd) + + montmul_p256(zzx1,zz,x_1) + montmul_p256(zzx2,zz,x2a) + + sub_p256(resx,ww,zzx1) + sub_p256(t1,zzx2,zzx1) + + montmul_p256(resz,xd,z_1) + + sub_p256(resx,resx,zzx2) + + sub_p256(t2,zzx1,resx) + + montmul_p256(t1,t1,y_1) + montmul_p256(t2,yd,t2) + + sub_p256(resy,t2,t1) + +// Test if z_1 = 0 to decide if p1 = 0 (up to projective equivalence) + + ldp x0, x1, [z_1] + ldp x2, x3, [z_1+16] + orr x4, x0, x1 + orr x5, x2, x3 + orr x4, x4, x5 + cmp x4, xzr + +// Multiplex: if p1 <> 0 just copy the computed result from the staging area. +// If p1 = 0 then return the point p2 augmented with a z = 1 coordinate (in +// Montgomery form so not the simple constant 1 but rather 2^256 - p_256), +// hence giving 0 + p2 = p2 for the final result. + + ldp x0, x1, [resx] + ldp x12, x13, [x_2] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x2, x3, [resx+16] + ldp x12, x13, [x_2+16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + + ldp x4, x5, [resy] + ldp x12, x13, [y_2] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x6, x7, [resy+16] + ldp x12, x13, [y_2+16] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + + ldp x8, x9, [resz] + mov x12, #0x0000000000000001 + mov x13, #0xffffffff00000000 + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x10, x11, [resz+16] + mov x12, #0xffffffffffffffff + mov x13, #0x00000000fffffffe + csel x10, x10, x12, ne + csel x11, x11, x13, ne + + stp x0, x1, [x_3] + stp x2, x3, [x_3+16] + stp x4, x5, [y_3] + stp x6, x7, [y_3+16] + stp x8, x9, [z_3] + stp x10, x11, [z_3+16] + +// Restore stack and return + + CFI_INC_SP(NSPACE) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p256_montjmixadd_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/arm/p256_scalarmul.S b/cbits/s2n/arm/p256_scalarmul.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/p256_scalarmul.S @@ -0,0 +1,8620 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Scalar multiplication for P-256 +// Input scalar[4], point[8]; output res[8] +// +// extern void p256_scalarmul +// (uint64_t res[static 8], +// const uint64_t scalar[static 4], +// const uint64_t point[static 8]); +// +// Given scalar = n and point = P, assumed to be on the NIST elliptic +// curve P-256, returns the point (X,Y) = n * P. The input and output +// are affine points, and in the case of the point at infinity as +// the result, (0,0) is returned. +// +// Standard ARM ABI: X0 = res, X1 = scalar, X2 = point +// ---------------------------------------------------------------------------- + + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p256_scalarmul) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p256_scalarmul) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p256_scalarmul) + + + .text + .balign 4 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Safe copies of inputs (res lasts the whole code, point not so long) +// and additional values in variables, with some aliasing + +#define res x19 +#define sgn x20 +#define j x20 +#define point x21 + +// Intermediate variables on the stack. The last z2, z3 values can +// safely be overlaid on the table, which is no longer needed at the end. + +#define scalarb sp, #(0*NUMSIZE) +#define acc sp, #(1*NUMSIZE) +#define tabent sp, #(4*NUMSIZE) + +#define tab sp, #(7*NUMSIZE) + +#define z2 sp, #(7*NUMSIZE) +#define z3 sp, #(8*NUMSIZE) + +#define NSPACE 31*NUMSIZE + +// Loading large constants + +#define movbig(nn,n3,n2,n1,n0) \ + movz nn, n0 __LF \ + movk nn, n1, lsl #16 __LF \ + movk nn, n2, lsl #32 __LF \ + movk nn, n3, lsl #48 + +S2N_BN_SYMBOL(p256_scalarmul): + CFI_START + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x30) + CFI_DEC_SP(NSPACE) + +// Preserve the "res" and "point" input arguments. We load and process the +// scalar immediately so we don't bother preserving that input argument. +// Also, "point" is only needed early on and so its register gets re-used. + + mov res, x0 + mov point, x2 + +// Load the digits of group order n_256 = [x12;x13;x14;x15] + + movbig(x12, #0xf3b9, #0xcac2, #0xfc63, #0x2551) + movbig(x13, #0xbce6, #0xfaad, #0xa717, #0x9e84) + mov x14, #0xffffffffffffffff + mov x15, #0xffffffff00000000 + +// First, reduce the input scalar mod n_256, i.e. conditionally subtract n_256 + + ldp x2, x3, [x1] + ldp x4, x5, [x1, #16] + + subs x6, x2, x12 + sbcs x7, x3, x13 + sbcs x8, x4, x14 + sbcs x9, x5, x15 + + csel x2, x2, x6, cc + csel x3, x3, x7, cc + csel x4, x4, x8, cc + csel x5, x5, x9, cc + +// Now if the top bit of the reduced scalar is set, negate it mod n_256, +// i.e. do n |-> n_256 - n. Remember the sign as "sgn" so we can +// correspondingly negate the point below. + + subs x6, x12, x2 + sbcs x7, x13, x3 + sbcs x8, x14, x4 + sbc x9, x15, x5 + + tst x5, #0x8000000000000000 + csel x2, x2, x6, eq + csel x3, x3, x7, eq + csel x4, x4, x8, eq + csel x5, x5, x9, eq + cset sgn, ne + +// In either case then add the recoding constant 0x08888...888 to allow +// signed digits. + + mov x6, 0x8888888888888888 + adds x2, x2, x6 + adcs x3, x3, x6 + bic x7, x6, #0xF000000000000000 + adcs x4, x4, x6 + adc x5, x5, x7 + + stp x2, x3, [scalarb] + stp x4, x5, [scalarb+16] + +// Set the tab[0] table entry to Montgomery-Jacobian point = 1 * P +// The z coordinate is just the Montgomery form of the constant 1. + + add x0, tab + mov x1, point + CFI_BL(Lp256_scalarmul_local_tomont_p256) + + add x1, point, #32 + add x0, tab+32 + CFI_BL(Lp256_scalarmul_local_tomont_p256) + + mov x0, #0x0000000000000001 + mov x1, #0xffffffff00000000 + stp x0, x1, [tab+64] + mov x2, #0xffffffffffffffff + mov x3, #0x00000000fffffffe + stp x2, x3, [tab+80] + +// If the top bit of the scalar was set, negate (y coordinate of) the point + + ldp x4, x5, [tab+32] + ldp x6, x7, [tab+48] + + mov x0, 0xffffffffffffffff + subs x0, x0, x4 + mov x1, 0x00000000ffffffff + sbcs x1, x1, x5 + mov x3, 0xffffffff00000001 + sbcs x2, xzr, x6 + sbc x3, x3, x7 + + cmp sgn, xzr + csel x4, x0, x4, ne + csel x5, x1, x5, ne + csel x6, x2, x6, ne + csel x7, x3, x7, ne + + stp x4, x5, [tab+32] + stp x6, x7, [tab+48] + +// Compute and record tab[1] = 2 * p, ..., tab[7] = 8 * P + + add x0, tab+96*1 + add x1, tab + CFI_BL(Lp256_scalarmul_local_p256_montjdouble) + + add x0, tab+96*2 + add x1, tab+96*1 + add x2, tab + CFI_BL(Lp256_scalarmul_local_p256_montjmixadd) + + add x0, tab+96*3 + add x1, tab+96*1 + CFI_BL(Lp256_scalarmul_local_p256_montjdouble) + + add x0, tab+96*4 + add x1, tab+96*3 + add x2, tab + CFI_BL(Lp256_scalarmul_local_p256_montjmixadd) + + add x0, tab+96*5 + add x1, tab+96*2 + CFI_BL(Lp256_scalarmul_local_p256_montjdouble) + + add x0, tab+96*6 + add x1, tab+96*5 + add x2, tab + CFI_BL(Lp256_scalarmul_local_p256_montjmixadd) + + add x0, tab+96*7 + add x1, tab+96*3 + CFI_BL(Lp256_scalarmul_local_p256_montjdouble) + +// Initialize the accumulator as a table entry for top 4 bits (unrecoded) + + ldr x14, [scalarb+24] + lsr x14, x14, #60 + + mov x0, xzr + mov x1, xzr + mov x2, xzr + mov x3, xzr + mov x4, xzr + mov x5, xzr + mov x6, xzr + mov x7, xzr + mov x8, xzr + mov x9, xzr + mov x10, xzr + mov x11, xzr + add x15, tab + + .set i, 1 +.rep 8 + cmp x14, #i + ldp x12, x13, [x15] + csel x0, x12, x0, eq + csel x1, x13, x1, eq + ldp x12, x13, [x15, #16] + csel x2, x12, x2, eq + csel x3, x13, x3, eq + ldp x12, x13, [x15, #32] + csel x4, x12, x4, eq + csel x5, x13, x5, eq + ldp x12, x13, [x15, #48] + csel x6, x12, x6, eq + csel x7, x13, x7, eq + ldp x12, x13, [x15, #64] + csel x8, x12, x8, eq + csel x9, x13, x9, eq + ldp x12, x13, [x15, #80] + csel x10, x12, x10, eq + csel x11, x13, x11, eq + add x15, x15, #96 + .set i, (i+1) +.endr + stp x0, x1, [acc] + stp x2, x3, [acc+16] + stp x4, x5, [acc+32] + stp x6, x7, [acc+48] + stp x8, x9, [acc+64] + stp x10, x11, [acc+80] + + mov j, #252 + +// Main loop over size-4 bitfields: double 4 times then add signed digit + +Lp256_scalarmul_loop: + sub j, j, #4 + + add x0, acc + add x1, acc + CFI_BL(Lp256_scalarmul_local_p256_montjdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp256_scalarmul_local_p256_montjdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp256_scalarmul_local_p256_montjdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp256_scalarmul_local_p256_montjdouble) + + lsr x2, j, #6 + ldr x14, [sp, x2, lsl #3] // Exploits scalarb = sp exactly + lsr x14, x14, j + and x14, x14, #15 + + subs x14, x14, #8 + cset x16, lo // x16 = sign of digit (1 = negative) + cneg x14, x14, lo // x14 = absolute value of digit + +// Conditionally select the table entry tab[i-1] = i * P in constant time + + mov x0, xzr + mov x1, xzr + mov x2, xzr + mov x3, xzr + mov x4, xzr + mov x5, xzr + mov x6, xzr + mov x7, xzr + mov x8, xzr + mov x9, xzr + mov x10, xzr + mov x11, xzr + add x15, tab + .set i, 1 +.rep 8 + cmp x14, #i + ldp x12, x13, [x15] + csel x0, x12, x0, eq + csel x1, x13, x1, eq + ldp x12, x13, [x15, #16] + csel x2, x12, x2, eq + csel x3, x13, x3, eq + ldp x12, x13, [x15, #32] + csel x4, x12, x4, eq + csel x5, x13, x5, eq + ldp x12, x13, [x15, #48] + csel x6, x12, x6, eq + csel x7, x13, x7, eq + ldp x12, x13, [x15, #64] + csel x8, x12, x8, eq + csel x9, x13, x9, eq + ldp x12, x13, [x15, #80] + csel x10, x12, x10, eq + csel x11, x13, x11, eq + add x15, x15, #96 + .set i, (i+1) +.endr + +// Store it to "tabent" with the y coordinate optionally negated + + stp x0, x1, [tabent] + stp x2, x3, [tabent+16] + + mov x0, 0xffffffffffffffff + subs x0, x0, x4 + mov x1, 0x00000000ffffffff + sbcs x1, x1, x5 + mov x3, 0xffffffff00000001 + sbcs x2, xzr, x6 + sbc x3, x3, x7 + + cmp x16, xzr + csel x4, x0, x4, ne + csel x5, x1, x5, ne + csel x6, x2, x6, ne + csel x7, x3, x7, ne + + stp x4, x5, [tabent+32] + stp x6, x7, [tabent+48] + stp x8, x9, [tabent+64] + stp x10, x11, [tabent+80] + + add x0, acc + add x1, acc + add x2, tabent + CFI_BL(Lp256_scalarmul_local_p256_montjadd) + + cbnz j, Lp256_scalarmul_loop + +// That's the end of the main loop, and we just need to translate +// back from the Jacobian representation to affine. First of all, +// let z2 = 1/z^2 and z3 = 1/z^3, both without Montgomery form + + add x0, z2 + add x1, acc+64 + CFI_BL(Lp256_scalarmul_local_montsqr_p256) + + add x0, z3 + add x2, z2 + add x1, acc+64 + CFI_BL(Lp256_scalarmul_local_montmul_p256) + + add x0, z2 + add x1, z3 + CFI_BL(Lp256_scalarmul_local_demont_p256) + + add x0, z3 + add x1, z2 + CFI_BL(Lp256_scalarmul_local_inv_p256) + + add x0, z2 + add x2, z3 + add x1, acc+64 + CFI_BL(Lp256_scalarmul_local_montmul_p256) + +// Convert back from Jacobian (X,Y,Z) |-> (X/Z^2, Y/Z^3) + + add x1, acc + add x2, z2 + mov x0, res + CFI_BL(Lp256_scalarmul_local_montmul_p256) + + add x0, res, #32 + add x1, acc+32 + add x2, z3 + CFI_BL(Lp256_scalarmul_local_montmul_p256) + +// Restore stack and registers and return + + CFI_INC_SP(NSPACE) + CFI_POP2(x21,x30) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p256_scalarmul) + +// Local copies of subroutines, complete clones at the moment + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmul_local_demont_p256) + +Lp256_scalarmul_local_demont_p256: + CFI_START + ldp x2, x3, [x1] + ldp x4, x5, [x1, #16] + lsl x7, x2, #32 + subs x8, x2, x7 + lsr x6, x2, #32 + sbc x2, x2, x6 + adds x3, x3, x7 + adcs x4, x4, x6 + adcs x5, x5, x8 + adc x2, x2, xzr + lsl x7, x3, #32 + subs x8, x3, x7 + lsr x6, x3, #32 + sbc x3, x3, x6 + adds x4, x4, x7 + adcs x5, x5, x6 + adcs x2, x2, x8 + adc x3, x3, xzr + lsl x7, x4, #32 + subs x8, x4, x7 + lsr x6, x4, #32 + sbc x4, x4, x6 + adds x5, x5, x7 + adcs x2, x2, x6 + adcs x3, x3, x8 + adc x4, x4, xzr + lsl x7, x5, #32 + subs x8, x5, x7 + lsr x6, x5, #32 + sbc x5, x5, x6 + adds x2, x2, x7 + adcs x3, x3, x6 + adcs x4, x4, x8 + adc x5, x5, xzr + stp x2, x3, [x0] + stp x4, x5, [x0, #16] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmul_local_demont_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmul_local_inv_p256) + +Lp256_scalarmul_local_inv_p256: + CFI_START + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_DEC_SP(160) + mov x20, x0 + mov x10, #0xffffffffffffffff + mov x11, #0xffffffff + mov x13, #0xffffffff00000001 + stp x10, x11, [sp] + stp xzr, x13, [sp, #16] + str xzr, [sp, #32] + ldp x2, x3, [x1] + subs x10, x2, x10 + sbcs x11, x3, x11 + ldp x4, x5, [x1, #16] + sbcs x12, x4, xzr + sbcs x13, x5, x13 + csel x2, x2, x10, cc + csel x3, x3, x11, cc + csel x4, x4, x12, cc + csel x5, x5, x13, cc + stp x2, x3, [sp, #48] + stp x4, x5, [sp, #64] + str xzr, [sp, #80] + stp xzr, xzr, [sp, #96] + stp xzr, xzr, [sp, #112] + mov x10, #0x4000000000000 + stp x10, xzr, [sp, #128] + stp xzr, xzr, [sp, #144] + mov x21, #0xa + mov x22, #0x1 + b Lp256_scalarmul_inv_midloop +Lp256_scalarmul_inv_loop: + cmp x10, xzr + csetm x14, mi + cneg x10, x10, mi + cmp x11, xzr + csetm x15, mi + cneg x11, x11, mi + cmp x12, xzr + csetm x16, mi + cneg x12, x12, mi + cmp x13, xzr + csetm x17, mi + cneg x13, x13, mi + and x0, x10, x14 + and x1, x11, x15 + add x9, x0, x1 + and x0, x12, x16 + and x1, x13, x17 + add x19, x0, x1 + ldr x7, [sp] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #48] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + adc x2, x2, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x5, x19, x0 + adc x3, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x7, [sp, #8] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #56] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + adc x6, x6, x1 + extr x4, x2, x4, #59 + str x4, [sp] + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x3, x3, x0 + adc x4, x4, x1 + extr x5, x3, x5, #59 + str x5, [sp, #48] + ldr x7, [sp, #16] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #64] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + adc x5, x5, x1 + extr x2, x6, x2, #59 + str x2, [sp, #8] + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x4, x4, x0 + adc x2, x2, x1 + extr x3, x4, x3, #59 + str x3, [sp, #56] + ldr x7, [sp, #24] + eor x1, x7, x14 + ldr x23, [sp, #32] + eor x3, x23, x14 + and x3, x3, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #72] + eor x1, x8, x15 + ldr x24, [sp, #80] + eor x0, x24, x15 + and x0, x0, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x5, x6, #59 + str x6, [sp, #16] + extr x5, x3, x5, #59 + str x5, [sp, #24] + asr x3, x3, #59 + str x3, [sp, #32] + eor x1, x7, x16 + eor x5, x23, x16 + and x5, x5, x12 + neg x5, x5 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, x17 + eor x0, x24, x17 + and x0, x0, x13 + sub x5, x5, x0 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x2, x2, x0 + adc x5, x5, x1 + extr x4, x2, x4, #59 + str x4, [sp, #64] + extr x2, x5, x2, #59 + str x2, [sp, #72] + asr x5, x5, #59 + str x5, [sp, #80] + ldr x7, [sp, #96] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #128] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + str x4, [sp, #96] + adc x2, x2, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x5, x19, x0 + adc x3, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x5, x5, x0 + str x5, [sp, #128] + adc x3, x3, x1 + ldr x7, [sp, #104] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #136] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + str x2, [sp, #104] + adc x6, x6, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x3, x3, x0 + str x3, [sp, #136] + adc x4, x4, x1 + ldr x7, [sp, #112] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #144] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + str x6, [sp, #112] + adc x5, x5, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x4, x4, x0 + str x4, [sp, #144] + adc x2, x2, x1 + ldr x7, [sp, #120] + eor x1, x7, x14 + and x3, x14, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #152] + eor x1, x8, x15 + and x0, x15, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + ldp x0, x1, [sp, #96] + ldr x6, [sp, #112] + mov x14, #0xe000000000000000 + adds x0, x0, x14 + sbcs x1, x1, xzr + mov x11, #0x1fffffff + adcs x6, x6, x11 + mov x10, #0x2000000000000000 + adcs x5, x5, x10 + mov x14, #0x1fffffffe0000000 + adc x3, x3, x14 + lsl x11, x0, #32 + subs x14, x0, x11 + lsr x10, x0, #32 + sbc x0, x0, x10 + adds x1, x1, x11 + adcs x6, x6, x10 + adcs x5, x5, x14 + adcs x3, x3, x0 + mov x14, #0xffffffffffffffff + mov x11, #0xffffffff + mov x10, #0xffffffff00000001 + csel x14, x14, xzr, cs + csel x11, x11, xzr, cs + csel x10, x10, xzr, cs + subs x1, x1, x14 + sbcs x6, x6, x11 + sbcs x5, x5, xzr + sbc x3, x3, x10 + stp x1, x6, [sp, #96] + stp x5, x3, [sp, #112] + eor x1, x7, x16 + and x5, x16, x12 + neg x5, x5 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, x17 + and x0, x17, x13 + sub x5, x5, x0 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x2, x2, x0 + adc x5, x5, x1 + ldp x0, x1, [sp, #128] + ldr x3, [sp, #144] + mov x14, #0xe000000000000000 + adds x0, x0, x14 + sbcs x1, x1, xzr + mov x11, #0x1fffffff + adcs x3, x3, x11 + mov x10, #0x2000000000000000 + adcs x2, x2, x10 + mov x14, #0x1fffffffe0000000 + adc x5, x5, x14 + lsl x11, x0, #32 + subs x14, x0, x11 + lsr x10, x0, #32 + sbc x0, x0, x10 + adds x1, x1, x11 + adcs x3, x3, x10 + adcs x2, x2, x14 + adcs x5, x5, x0 + mov x14, #0xffffffffffffffff + mov x11, #0xffffffff + mov x10, #0xffffffff00000001 + csel x14, x14, xzr, cs + csel x11, x11, xzr, cs + csel x10, x10, xzr, cs + subs x1, x1, x14 + sbcs x3, x3, x11 + sbcs x2, x2, xzr + sbc x5, x5, x10 + stp x1, x3, [sp, #128] + stp x2, x5, [sp, #144] +Lp256_scalarmul_inv_midloop: + mov x1, x22 + ldr x2, [sp] + ldr x3, [sp, #48] + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x8, x4, #0x100, lsl #12 + sbfx x8, x8, #21, #21 + mov x11, #0x100000 + add x11, x11, x11, lsl #21 + add x9, x4, x11 + asr x9, x9, #42 + add x10, x5, #0x100, lsl #12 + sbfx x10, x10, #21, #21 + add x11, x5, x11 + asr x11, x11, #42 + mul x6, x8, x2 + mul x7, x9, x3 + mul x2, x10, x2 + mul x3, x11, x3 + add x4, x6, x7 + add x5, x2, x3 + asr x2, x4, #20 + asr x3, x5, #20 + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x12, x4, #0x100, lsl #12 + sbfx x12, x12, #21, #21 + mov x15, #0x100000 + add x15, x15, x15, lsl #21 + add x13, x4, x15 + asr x13, x13, #42 + add x14, x5, #0x100, lsl #12 + sbfx x14, x14, #21, #21 + add x15, x5, x15 + asr x15, x15, #42 + mul x6, x12, x2 + mul x7, x13, x3 + mul x2, x14, x2 + mul x3, x15, x3 + add x4, x6, x7 + add x5, x2, x3 + asr x2, x4, #20 + asr x3, x5, #20 + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + mul x2, x12, x8 + mul x3, x12, x9 + mul x6, x14, x8 + mul x7, x14, x9 + madd x8, x13, x10, x2 + madd x9, x13, x11, x3 + madd x16, x15, x10, x6 + madd x17, x15, x11, x7 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x12, x4, #0x100, lsl #12 + sbfx x12, x12, #22, #21 + mov x15, #0x100000 + add x15, x15, x15, lsl #21 + add x13, x4, x15 + asr x13, x13, #43 + add x14, x5, #0x100, lsl #12 + sbfx x14, x14, #22, #21 + add x15, x5, x15 + asr x15, x15, #43 + mneg x2, x12, x8 + mneg x3, x12, x9 + mneg x4, x14, x8 + mneg x5, x14, x9 + msub x10, x13, x16, x2 + msub x11, x13, x17, x3 + msub x12, x15, x16, x4 + msub x13, x15, x17, x5 + mov x22, x1 + subs x21, x21, #0x1 + b.ne Lp256_scalarmul_inv_loop + ldr x0, [sp] + ldr x1, [sp, #48] + mul x0, x0, x10 + madd x1, x1, x11, x0 + asr x0, x1, #63 + cmp x10, xzr + csetm x14, mi + cneg x10, x10, mi + eor x14, x14, x0 + cmp x11, xzr + csetm x15, mi + cneg x11, x11, mi + eor x15, x15, x0 + cmp x12, xzr + csetm x16, mi + cneg x12, x12, mi + eor x16, x16, x0 + cmp x13, xzr + csetm x17, mi + cneg x13, x13, mi + eor x17, x17, x0 + and x0, x10, x14 + and x1, x11, x15 + add x9, x0, x1 + ldr x7, [sp, #96] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #128] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + str x4, [sp, #96] + adc x2, x2, x1 + ldr x7, [sp, #104] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #136] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + str x2, [sp, #104] + adc x6, x6, x1 + ldr x7, [sp, #112] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #144] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + str x6, [sp, #112] + adc x5, x5, x1 + ldr x7, [sp, #120] + eor x1, x7, x14 + and x3, x14, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #152] + eor x1, x8, x15 + and x0, x15, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + ldp x0, x1, [sp, #96] + ldr x2, [sp, #112] + mov x14, #0xe000000000000000 + adds x0, x0, x14 + sbcs x1, x1, xzr + mov x11, #0x1fffffff + adcs x2, x2, x11 + mov x10, #0x2000000000000000 + adcs x5, x5, x10 + mov x14, #0x1fffffffe0000000 + adc x3, x3, x14 + lsl x11, x0, #32 + subs x14, x0, x11 + lsr x10, x0, #32 + sbc x0, x0, x10 + adds x1, x1, x11 + adcs x2, x2, x10 + adcs x5, x5, x14 + adcs x3, x3, x0 + mov x14, #0xffffffffffffffff + mov x11, #0xffffffff + mov x10, #0xffffffff00000001 + csel x14, x14, xzr, cs + csel x11, x11, xzr, cs + csel x10, x10, xzr, cs + subs x1, x1, x14 + sbcs x2, x2, x11 + sbcs x5, x5, xzr + sbc x3, x3, x10 + mov x10, #0xffffffffffffffff + subs x10, x1, x10 + mov x11, #0xffffffff + sbcs x11, x2, x11 + mov x13, #0xffffffff00000001 + sbcs x12, x5, xzr + sbcs x13, x3, x13 + csel x10, x1, x10, cc + csel x11, x2, x11, cc + csel x12, x5, x12, cc + csel x13, x3, x13, cc + stp x10, x11, [x20] + stp x12, x13, [x20, #16] + CFI_INC_SP(160) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmul_local_inv_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmul_local_montmul_p256) + +Lp256_scalarmul_local_montmul_p256: + CFI_START + ldr q20, [x2] + ldp x7, x17, [x1] + ldr q0, [x1] + ldp x6, x10, [x2] + ldp x11, x15, [x1, #16] + rev64 v16.4S, v20.4S + subs x4, x7, x17 + csetm x3, cc + cneg x13, x4, cc + mul v16.4S, v16.4S, v0.4S + umulh x12, x17, x10 + uzp1 v28.4S, v20.4S, v0.4S + subs x14, x11, x7 + ldr q20, [x2, #16] + sbcs x5, x15, x17 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2D, v16.4S + umulh x4, x7, x6 + uzp1 v21.4S, v0.4S, v0.4S + cneg x11, x8, cc + shl v17.2D, v27.2D, #32 + csetm x15, cc + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2D, v21.2S, v28.2S + cneg x8, x9, cc + cinv x9, x3, cc + cmn x17, #0x1 + ldr q28, [x1, #16] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2S, v20.2D + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4S, v20.4S, v20.4S + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2S, v28.2D + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [x2, #16] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc + cneg x6, x6, cc + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x9, x3, x13 + adcs x3, x8, x7 + umulh x8, x14, x11 + umull v21.2D, v0.2S, v1.2S + adcs x12, x10, x12 + umull v3.2D, v0.2S, v16.2S + adc x15, x15, xzr + rev64 v24.4S, v20.4S + stp x12, x15, [x0, #16] + movi v2.2D, #0x00000000ffffffff + mul x10, x14, x11 + mul v4.4S, v24.4S, v28.4S + subs x13, x14, x5 + uzp2 v19.4S, v28.4S, v28.4S + csetm x15, cc + usra v3.2D, v21.2D, #32 + mul x7, x5, x1 + umull v21.2D, v19.2S, v16.2S + cneg x13, x13, cc + uaddlp v5.2D, v4.4S + subs x11, x1, x11 + and v16.16B, v3.16B, v2.16B + umulh x5, x5, x1 + shl v24.2D, v5.2D, #32 + cneg x11, x11, cc + umlal v16.2D, v19.2S, v1.2S + cinv x12, x15, cc + umlal v24.2D, v0.2S, v1.2S + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + stp x9, x3, [x0] + usra v21.2D, v3.2D, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2D, v16.2D, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + ldp x15, x8, [x0] + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + ldp x9, x13, [x0, #16] + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x15 + adcs x15, x16, x8 + eor x5, x17, x4 + adcs x9, x1, x9 + eor x1, x10, x5 + adcs x16, x2, x13 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 + adds x11, x11, x13 + and x1, x1, x13 + adcs x4, x4, x1 + and x1, x12, x13 + stp x11, x4, [x0] + adcs x4, x7, xzr + adc x1, x17, x1 + stp x4, x1, [x0, #16] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmul_local_montmul_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmul_local_montsqr_p256) + +Lp256_scalarmul_local_montsqr_p256: + CFI_START + ldr q19, [x1] + ldp x9, x13, [x1] + ldr q23, [x1, #16] + ldr q0, [x1] + ldp x1, x10, [x1, #16] + uzp2 v29.4S, v19.4S, v19.4S + xtn v4.2S, v19.2D + umulh x8, x9, x13 + rev64 v20.4S, v23.4S + umull v16.2D, v19.2S, v19.2S + umull v1.2D, v29.2S, v4.2S + mul v20.4S, v20.4S, v0.4S + subs x14, x9, x13 + umulh x15, x9, x1 + mov x16, v16.d[1] + umull2 v4.2D, v19.4S, v19.4S + mov x4, v16.d[0] + uzp1 v17.4S, v23.4S, v0.4S + uaddlp v19.2D, v20.4S + lsr x7, x8, #63 + mul x11, x9, x13 + mov x12, v1.d[0] + csetm x5, cc + cneg x6, x14, cc + mov x3, v4.d[1] + mov x14, v4.d[0] + subs x2, x10, x1 + mov x9, v1.d[1] + cneg x17, x2, cc + cinv x2, x5, cc + adds x5, x4, x12, lsl #33 + extr x4, x8, x11, #63 + lsr x8, x12, #31 + uzp1 v20.4S, v0.4S, v0.4S + shl v19.2D, v19.2D, #32 + adc x16, x16, x8 + adds x8, x14, x9, lsl #33 + lsr x14, x9, #31 + lsl x9, x5, #32 + umlal v19.2D, v20.2S, v17.2S + adc x14, x3, x14 + adds x16, x16, x11, lsl #1 + lsr x3, x5, #32 + umulh x12, x6, x17 + adcs x4, x8, x4 + adc x11, x14, x7 + subs x8, x5, x9 + sbc x5, x5, x3 + adds x16, x16, x9 + mov x14, v19.d[0] + mul x17, x6, x17 + adcs x3, x4, x3 + lsl x7, x16, #32 + umulh x13, x13, x10 + adcs x11, x11, x8 + lsr x8, x16, #32 + adc x5, x5, xzr + subs x9, x16, x7 + sbc x16, x16, x8 + adds x7, x3, x7 + mov x3, v19.d[1] + adcs x6, x11, x8 + umulh x11, x1, x10 + adcs x5, x5, x9 + eor x8, x12, x2 + adc x9, x16, xzr + adds x16, x14, x15 + adc x15, x15, xzr + adds x12, x16, x3 + eor x16, x17, x2 + mul x4, x1, x10 + adcs x15, x15, x13 + adc x17, x13, xzr + adds x15, x15, x3 + adc x3, x17, xzr + cmn x2, #0x1 + mul x17, x10, x10 + adcs x12, x12, x16 + adcs x16, x15, x8 + umulh x10, x10, x10 + adc x2, x3, x2 + adds x14, x14, x14 + adcs x12, x12, x12 + adcs x16, x16, x16 + adcs x2, x2, x2 + adc x15, xzr, xzr + adds x14, x14, x7 + mul x3, x1, x1 + adcs x12, x12, x6 + lsr x7, x14, #32 + adcs x16, x16, x5 + lsl x5, x14, #32 + umulh x13, x1, x1 + adcs x2, x2, x9 + mov x6, #0xffffffff + adc x15, x15, xzr + adds x8, x4, x4 + adcs x1, x11, x11 + mov x11, #0xffffffff00000001 + adc x4, xzr, xzr + subs x9, x14, x5 + sbc x14, x14, x7 + adds x12, x12, x5 + adcs x16, x16, x7 + lsl x5, x12, #32 + lsr x7, x12, #32 + adcs x2, x2, x9 + adcs x14, x15, x14 + adc x15, xzr, xzr + subs x9, x12, x5 + sbc x12, x12, x7 + adds x16, x16, x5 + adcs x2, x2, x7 + adcs x14, x14, x9 + adcs x12, x15, x12 + adc x15, xzr, xzr + adds x16, x16, x3 + adcs x2, x2, x13 + adcs x14, x14, x17 + adcs x12, x12, x10 + adc x15, x15, xzr + adds x2, x2, x8 + adcs x14, x14, x1 + adcs x12, x12, x4 + adcs x15, x15, xzr + adds x3, x16, #0x1 + sbcs x5, x2, x6 + sbcs x8, x14, xzr + sbcs x11, x12, x11 + sbcs xzr, x15, xzr + csel x16, x3, x16, cs + csel x14, x8, x14, cs + csel x12, x11, x12, cs + csel x2, x5, x2, cs + stp x14, x12, [x0, #16] + stp x16, x2, [x0] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmul_local_montsqr_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmul_local_tomont_p256) + +Lp256_scalarmul_local_tomont_p256: + CFI_START + ldp x2, x3, [x1] + ldp x4, x5, [x1, #16] + mov x1, #0xffffffffffffffff + mov x7, #0xffffffff + mov x9, #0xffffffff00000001 + subs x1, x2, x1 + sbcs x7, x3, x7 + sbcs x8, x4, xzr + sbcs x9, x5, x9 + csel x2, x2, x1, cc + csel x3, x3, x7, cc + csel x4, x4, x8, cc + csel x5, x5, x9, cc + cmp xzr, xzr + extr x9, x5, x4, #32 + adcs xzr, x4, x9 + lsr x9, x5, #32 + adcs x9, x5, x9 + csetm x6, cs + orr x9, x9, x6 + lsl x7, x9, #32 + lsr x8, x9, #32 + adds x4, x4, x7 + adc x5, x5, x8 + negs x6, x9 + sbcs x7, x7, xzr + sbc x8, x8, xzr + negs x6, x6 + sbcs x2, x2, x7 + sbcs x3, x3, x8 + sbcs x4, x4, x9 + sbcs x5, x5, x9 + adds x6, x6, x5 + mov x7, #0xffffffff + and x7, x7, x5 + adcs x2, x2, x7 + adcs x3, x3, xzr + mov x7, #0xffffffff00000001 + and x7, x7, x5 + adc x4, x4, x7 + cmp xzr, xzr + extr x9, x4, x3, #32 + adcs xzr, x3, x9 + lsr x9, x4, #32 + adcs x9, x4, x9 + csetm x5, cs + orr x9, x9, x5 + lsl x7, x9, #32 + lsr x8, x9, #32 + adds x3, x3, x7 + adc x4, x4, x8 + negs x5, x9 + sbcs x7, x7, xzr + sbc x8, x8, xzr + negs x5, x5 + sbcs x6, x6, x7 + sbcs x2, x2, x8 + sbcs x3, x3, x9 + sbcs x4, x4, x9 + adds x5, x5, x4 + mov x7, #0xffffffff + and x7, x7, x4 + adcs x6, x6, x7 + adcs x2, x2, xzr + mov x7, #0xffffffff00000001 + and x7, x7, x4 + adc x3, x3, x7 + cmp xzr, xzr + extr x9, x3, x2, #32 + adcs xzr, x2, x9 + lsr x9, x3, #32 + adcs x9, x3, x9 + csetm x4, cs + orr x9, x9, x4 + lsl x7, x9, #32 + lsr x8, x9, #32 + adds x2, x2, x7 + adc x3, x3, x8 + negs x4, x9 + sbcs x7, x7, xzr + sbc x8, x8, xzr + negs x4, x4 + sbcs x5, x5, x7 + sbcs x6, x6, x8 + sbcs x2, x2, x9 + sbcs x3, x3, x9 + adds x4, x4, x3 + mov x7, #0xffffffff + and x7, x7, x3 + adcs x5, x5, x7 + adcs x6, x6, xzr + mov x7, #0xffffffff00000001 + and x7, x7, x3 + adc x2, x2, x7 + cmp xzr, xzr + extr x9, x2, x6, #32 + adcs xzr, x6, x9 + lsr x9, x2, #32 + adcs x9, x2, x9 + csetm x3, cs + orr x9, x9, x3 + lsl x7, x9, #32 + lsr x8, x9, #32 + adds x6, x6, x7 + adc x2, x2, x8 + negs x3, x9 + sbcs x7, x7, xzr + sbc x8, x8, xzr + negs x3, x3 + sbcs x4, x4, x7 + sbcs x5, x5, x8 + sbcs x6, x6, x9 + sbcs x2, x2, x9 + adds x3, x3, x2 + mov x7, #0xffffffff + and x7, x7, x2 + adcs x4, x4, x7 + adcs x5, x5, xzr + mov x7, #0xffffffff00000001 + and x7, x7, x2 + adc x6, x6, x7 + stp x3, x4, [x0] + stp x5, x6, [x0, #16] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmul_local_tomont_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmul_local_p256_montjadd) + +Lp256_scalarmul_local_p256_montjadd: + CFI_START + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_PUSH2(x25,x26) + CFI_PUSH2(x27,x30) + CFI_DEC_SP(224) + mov x21, x0 + mov x22, x1 + mov x23, x2 + mov x0, sp + ldr q19, [x22, #64] + ldp x9, x13, [x22, #64] + ldr q23, [x22, #80] + ldr q0, [x22, #64] + ldp x1, x10, [x22, #80] + uzp2 v29.4s, v19.4s, v19.4s + xtn v4.2s, v19.2d + umulh x8, x9, x13 + rev64 v20.4s, v23.4s + umull v16.2d, v19.2s, v19.2s + umull v1.2d, v29.2s, v4.2s + mul v20.4s, v20.4s, v0.4s + subs x14, x9, x13 + umulh x15, x9, x1 + mov x16, v16.d[1] + umull2 v4.2d, v19.4s, v19.4s + mov x4, v16.d[0] + uzp1 v17.4s, v23.4s, v0.4s + uaddlp v19.2d, v20.4s + lsr x7, x8, #63 + mul x11, x9, x13 + mov x12, v1.d[0] + csetm x5, cc // cc = lo, ul, last + cneg x6, x14, cc // cc = lo, ul, last + mov x3, v4.d[1] + mov x14, v4.d[0] + subs x2, x10, x1 + mov x9, v1.d[1] + cneg x17, x2, cc // cc = lo, ul, last + cinv x2, x5, cc // cc = lo, ul, last + adds x5, x4, x12, lsl #33 + extr x4, x8, x11, #63 + lsr x8, x12, #31 + uzp1 v20.4s, v0.4s, v0.4s + shl v19.2d, v19.2d, #32 + adc x16, x16, x8 + adds x8, x14, x9, lsl #33 + lsr x14, x9, #31 + lsl x9, x5, #32 + umlal v19.2d, v20.2s, v17.2s + adc x14, x3, x14 + adds x16, x16, x11, lsl #1 + lsr x3, x5, #32 + umulh x12, x6, x17 + adcs x4, x8, x4 + adc x11, x14, x7 + subs x8, x5, x9 + sbc x5, x5, x3 + adds x16, x16, x9 + mov x14, v19.d[0] + mul x17, x6, x17 + adcs x3, x4, x3 + lsl x7, x16, #32 + umulh x13, x13, x10 + adcs x11, x11, x8 + lsr x8, x16, #32 + adc x5, x5, xzr + subs x9, x16, x7 + sbc x16, x16, x8 + adds x7, x3, x7 + mov x3, v19.d[1] + adcs x6, x11, x8 + umulh x11, x1, x10 + adcs x5, x5, x9 + eor x8, x12, x2 + adc x9, x16, xzr + adds x16, x14, x15 + adc x15, x15, xzr + adds x12, x16, x3 + eor x16, x17, x2 + mul x4, x1, x10 + adcs x15, x15, x13 + adc x17, x13, xzr + adds x15, x15, x3 + adc x3, x17, xzr + cmn x2, #0x1 + mul x17, x10, x10 + adcs x12, x12, x16 + adcs x16, x15, x8 + umulh x10, x10, x10 + adc x2, x3, x2 + adds x14, x14, x14 + adcs x12, x12, x12 + adcs x16, x16, x16 + adcs x2, x2, x2 + adc x15, xzr, xzr + adds x14, x14, x7 + mul x3, x1, x1 + adcs x12, x12, x6 + lsr x7, x14, #32 + adcs x16, x16, x5 + lsl x5, x14, #32 + umulh x13, x1, x1 + adcs x2, x2, x9 + mov x6, #0xffffffff // #4294967295 + adc x15, x15, xzr + adds x8, x4, x4 + adcs x1, x11, x11 + mov x11, #0xffffffff00000001 // #-4294967295 + adc x4, xzr, xzr + subs x9, x14, x5 + sbc x14, x14, x7 + adds x12, x12, x5 + adcs x16, x16, x7 + lsl x5, x12, #32 + lsr x7, x12, #32 + adcs x2, x2, x9 + adcs x14, x15, x14 + adc x15, xzr, xzr + subs x9, x12, x5 + sbc x12, x12, x7 + adds x16, x16, x5 + adcs x2, x2, x7 + adcs x14, x14, x9 + adcs x12, x15, x12 + adc x15, xzr, xzr + adds x16, x16, x3 + adcs x2, x2, x13 + adcs x14, x14, x17 + adcs x12, x12, x10 + adc x15, x15, xzr + adds x2, x2, x8 + adcs x14, x14, x1 + adcs x12, x12, x4 + adcs x15, x15, xzr + adds x3, x16, #0x1 + sbcs x5, x2, x6 + sbcs x8, x14, xzr + sbcs x11, x12, x11 + sbcs xzr, x15, xzr + csel x19, x3, x16, cs // cs = hs, nlast + csel x14, x8, x14, cs // cs = hs, nlast + csel x12, x11, x12, cs // cs = hs, nlast + csel x20, x5, x2, cs // cs = hs, nlast + stp x14, x12, [x0, #16] + stp x19, x20, [x0] + ldr q19, [x23, #64] + ldp x9, x13, [x23, #64] + ldr q23, [x23, #80] + ldr q0, [x23, #64] + ldp x1, x10, [x23, #80] + uzp2 v29.4s, v19.4s, v19.4s + xtn v4.2s, v19.2d + umulh x8, x9, x13 + rev64 v20.4s, v23.4s + umull v16.2d, v19.2s, v19.2s + umull v1.2d, v29.2s, v4.2s + mul v20.4s, v20.4s, v0.4s + subs x14, x9, x13 + umulh x15, x9, x1 + mov x16, v16.d[1] + umull2 v4.2d, v19.4s, v19.4s + mov x4, v16.d[0] + uzp1 v17.4s, v23.4s, v0.4s + uaddlp v19.2d, v20.4s + lsr x7, x8, #63 + mul x11, x9, x13 + mov x12, v1.d[0] + csetm x5, cc // cc = lo, ul, last + cneg x6, x14, cc // cc = lo, ul, last + mov x3, v4.d[1] + mov x14, v4.d[0] + subs x2, x10, x1 + mov x9, v1.d[1] + cneg x17, x2, cc // cc = lo, ul, last + cinv x2, x5, cc // cc = lo, ul, last + adds x5, x4, x12, lsl #33 + extr x4, x8, x11, #63 + lsr x8, x12, #31 + uzp1 v20.4s, v0.4s, v0.4s + shl v19.2d, v19.2d, #32 + adc x16, x16, x8 + adds x8, x14, x9, lsl #33 + lsr x14, x9, #31 + lsl x9, x5, #32 + umlal v19.2d, v20.2s, v17.2s + adc x14, x3, x14 + adds x16, x16, x11, lsl #1 + lsr x3, x5, #32 + umulh x12, x6, x17 + adcs x4, x8, x4 + adc x11, x14, x7 + subs x8, x5, x9 + sbc x5, x5, x3 + adds x16, x16, x9 + mov x14, v19.d[0] + mul x17, x6, x17 + adcs x3, x4, x3 + lsl x7, x16, #32 + umulh x13, x13, x10 + adcs x11, x11, x8 + lsr x8, x16, #32 + adc x5, x5, xzr + subs x9, x16, x7 + sbc x16, x16, x8 + adds x7, x3, x7 + mov x3, v19.d[1] + adcs x6, x11, x8 + umulh x11, x1, x10 + adcs x5, x5, x9 + eor x8, x12, x2 + adc x9, x16, xzr + adds x16, x14, x15 + adc x15, x15, xzr + adds x12, x16, x3 + eor x16, x17, x2 + mul x4, x1, x10 + adcs x15, x15, x13 + adc x17, x13, xzr + adds x15, x15, x3 + adc x3, x17, xzr + cmn x2, #0x1 + mul x17, x10, x10 + adcs x12, x12, x16 + adcs x16, x15, x8 + umulh x10, x10, x10 + adc x2, x3, x2 + adds x14, x14, x14 + adcs x12, x12, x12 + adcs x16, x16, x16 + adcs x2, x2, x2 + adc x15, xzr, xzr + adds x14, x14, x7 + mul x3, x1, x1 + adcs x12, x12, x6 + lsr x7, x14, #32 + adcs x16, x16, x5 + lsl x5, x14, #32 + umulh x13, x1, x1 + adcs x2, x2, x9 + mov x6, #0xffffffff // #4294967295 + adc x15, x15, xzr + adds x8, x4, x4 + adcs x1, x11, x11 + mov x11, #0xffffffff00000001 // #-4294967295 + adc x4, xzr, xzr + subs x9, x14, x5 + sbc x14, x14, x7 + adds x12, x12, x5 + adcs x16, x16, x7 + lsl x5, x12, #32 + lsr x7, x12, #32 + adcs x2, x2, x9 + adcs x14, x15, x14 + adc x15, xzr, xzr + subs x9, x12, x5 + sbc x12, x12, x7 + adds x16, x16, x5 + adcs x2, x2, x7 + adcs x14, x14, x9 + adcs x12, x15, x12 + adc x15, xzr, xzr + adds x16, x16, x3 + adcs x2, x2, x13 + adcs x14, x14, x17 + adcs x12, x12, x10 + adc x15, x15, xzr + adds x2, x2, x8 + adcs x14, x14, x1 + adcs x12, x12, x4 + adcs x15, x15, xzr + adds x3, x16, #0x1 + sbcs x5, x2, x6 + sbcs x8, x14, xzr + sbcs x11, x12, x11 + sbcs xzr, x15, xzr + csel x16, x3, x16, cs // cs = hs, nlast + csel x14, x8, x14, cs // cs = hs, nlast + csel x12, x11, x12, cs // cs = hs, nlast + csel x2, x5, x2, cs // cs = hs, nlast + stp x14, x12, [sp, #176] + stp x16, x2, [sp, #160] + ldr q20, [x22, #32] + ldp x7, x17, [x23, #64] + ldr q0, [x23, #64] + ldp x6, x10, [x22, #32] + ldp x11, x15, [x23, #80] + rev64 v16.4s, v20.4s + subs x4, x7, x17 + csetm x3, cc // cc = lo, ul, last + cneg x13, x4, cc // cc = lo, ul, last + mul v16.4s, v16.4s, v0.4s + umulh x12, x17, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x7 + ldr q20, [x22, #48] + sbcs x5, x15, x17 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x7, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc // cc = lo, ul, last + shl v17.2d, v27.2d, #32 + csetm x15, cc // cc = lo, ul, last + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc // cc = lo, ul, last + cinv x9, x3, cc // cc = lo, ul, last + cmn x17, #0x1 + ldr q28, [x23, #80] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [x22, #48] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc // cc = lo, ul, last + cneg x6, x6, cc // cc = lo, ul, last + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x24, x3, x13 + adcs x25, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x26, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x27, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc // cc = lo, ul, last + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc // cc = lo, ul, last + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc // cc = lo, ul, last + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc // cc = lo, ul, last + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x24 + adcs x15, x16, x25 + eor x5, x17, x4 + adcs x9, x1, x26 + eor x1, x10, x5 + adcs x16, x2, x27 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff // #4294967295 + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 // #-4294967295 + adds x11, x11, x13 + and x1, x1, x13 + adcs x4, x4, x1 + and x1, x12, x13 + stp x11, x4, [sp, #192] + adcs x4, x7, xzr + adc x1, x17, x1 + stp x4, x1, [sp, #208] + ldr q20, [x23, #32] + ldp x7, x17, [x22, #64] + ldr q0, [x22, #64] + ldp x6, x10, [x23, #32] + ldp x11, x15, [x22, #80] + rev64 v16.4s, v20.4s + subs x4, x7, x17 + csetm x3, cc // cc = lo, ul, last + cneg x13, x4, cc // cc = lo, ul, last + mul v16.4s, v16.4s, v0.4s + umulh x12, x17, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x7 + ldr q20, [x23, #48] + sbcs x5, x15, x17 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x7, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc // cc = lo, ul, last + shl v17.2d, v27.2d, #32 + csetm x15, cc // cc = lo, ul, last + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc // cc = lo, ul, last + cinv x9, x3, cc // cc = lo, ul, last + cmn x17, #0x1 + ldr q28, [x22, #80] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [x23, #48] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc // cc = lo, ul, last + cneg x6, x6, cc // cc = lo, ul, last + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x24, x3, x13 + adcs x25, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x26, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x27, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc // cc = lo, ul, last + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc // cc = lo, ul, last + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc // cc = lo, ul, last + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc // cc = lo, ul, last + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x24 + adcs x15, x16, x25 + eor x5, x17, x4 + adcs x9, x1, x26 + eor x1, x10, x5 + adcs x16, x2, x27 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff // #4294967295 + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 // #-4294967295 + adds x24, x11, x13 + and x1, x1, x13 + adcs x25, x4, x1 + and x1, x12, x13 + stp x24, x25, [sp, #32] + adcs x4, x7, xzr + adc x1, x17, x1 + stp x4, x1, [sp, #48] + mov x1, sp + ldr q20, [x23] + ldr q0, [x1] + ldp x6, x10, [x23] + ldp x11, x15, [x1, #16] + rev64 v16.4s, v20.4s + subs x4, x19, x20 + csetm x3, cc // cc = lo, ul, last + cneg x13, x4, cc // cc = lo, ul, last + mul v16.4s, v16.4s, v0.4s + umulh x12, x20, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x19 + ldr q20, [x23, #16] + sbcs x5, x15, x20 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x19, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc // cc = lo, ul, last + shl v17.2d, v27.2d, #32 + csetm x15, cc // cc = lo, ul, last + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc // cc = lo, ul, last + cinv x9, x3, cc // cc = lo, ul, last + cmn x17, #0x1 + ldr q28, [x1, #16] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [x23, #16] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc // cc = lo, ul, last + cneg x6, x6, cc // cc = lo, ul, last + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x19, x3, x13 + adcs x20, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x26, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x27, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc // cc = lo, ul, last + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc // cc = lo, ul, last + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc // cc = lo, ul, last + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc // cc = lo, ul, last + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x19 + adcs x15, x16, x20 + eor x5, x17, x4 + adcs x9, x1, x26 + eor x1, x10, x5 + adcs x16, x2, x27 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff // #4294967295 + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 // #-4294967295 + adds x11, x11, x13 + and x1, x1, x13 + adcs x4, x4, x1 + and x1, x12, x13 + stp x11, x4, [sp, #64] + adcs x4, x7, xzr + adc x1, x17, x1 + stp x4, x1, [sp, #80] + ldr q20, [x22] + ldp x7, x17, [sp, #160] + ldr q0, [sp, #160] + ldp x6, x10, [x22] + ldp x11, x15, [sp, #176] + rev64 v16.4s, v20.4s + subs x4, x7, x17 + csetm x3, cc // cc = lo, ul, last + cneg x13, x4, cc // cc = lo, ul, last + mul v16.4s, v16.4s, v0.4s + umulh x12, x17, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x7 + ldr q20, [x22, #16] + sbcs x5, x15, x17 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x7, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc // cc = lo, ul, last + shl v17.2d, v27.2d, #32 + csetm x15, cc // cc = lo, ul, last + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc // cc = lo, ul, last + cinv x9, x3, cc // cc = lo, ul, last + cmn x17, #0x1 + ldr q28, [sp, #176] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [x22, #16] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc // cc = lo, ul, last + cneg x6, x6, cc // cc = lo, ul, last + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x19, x3, x13 + adcs x20, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x26, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x27, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc // cc = lo, ul, last + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc // cc = lo, ul, last + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc // cc = lo, ul, last + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc // cc = lo, ul, last + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x19 + adcs x15, x16, x20 + eor x5, x17, x4 + adcs x9, x1, x26 + eor x1, x10, x5 + adcs x16, x2, x27 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff // #4294967295 + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 // #-4294967295 + adds x11, x11, x13 + and x1, x1, x13 + adcs x4, x4, x1 + and x1, x12, x13 + stp x11, x4, [sp, #128] + adcs x4, x7, xzr + adc x1, x17, x1 + stp x4, x1, [sp, #144] + mov x1, sp + ldr q20, [sp, #32] + ldp x7, x17, [x1] + ldr q0, [x1] + ldp x11, x15, [x1, #16] + rev64 v16.4s, v20.4s + subs x4, x7, x17 + csetm x3, cc // cc = lo, ul, last + cneg x13, x4, cc // cc = lo, ul, last + mul v16.4s, v16.4s, v0.4s + umulh x12, x17, x25 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x7 + ldr q20, [sp, #48] + sbcs x5, x15, x17 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x7, x24 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc // cc = lo, ul, last + shl v17.2d, v27.2d, #32 + csetm x15, cc // cc = lo, ul, last + subs x9, x25, x24 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc // cc = lo, ul, last + cinv x9, x3, cc // cc = lo, ul, last + cmn x17, #0x1 + ldr q28, [x1, #16] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [sp, #48] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x24, x7 + sbcs x9, x25, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc // cc = lo, ul, last + cneg x6, x6, cc // cc = lo, ul, last + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x19, x3, x13 + adcs x20, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x24, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x25, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc // cc = lo, ul, last + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc // cc = lo, ul, last + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc // cc = lo, ul, last + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc // cc = lo, ul, last + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x19 + adcs x15, x16, x20 + eor x5, x17, x4 + adcs x9, x1, x24 + eor x1, x10, x5 + adcs x16, x2, x25 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff // #4294967295 + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 // #-4294967295 + adds x19, x11, x13 + and x1, x1, x13 + adcs x20, x4, x1 + and x1, x12, x13 + adcs x4, x7, xzr + adc x1, x17, x1 + stp x4, x1, [sp, #48] + ldr q20, [sp, #192] + ldp x7, x17, [sp, #160] + ldr q0, [sp, #160] + ldp x6, x10, [sp, #192] + ldp x11, x15, [sp, #176] + rev64 v16.4s, v20.4s + subs x4, x7, x17 + csetm x3, cc // cc = lo, ul, last + cneg x13, x4, cc // cc = lo, ul, last + mul v16.4s, v16.4s, v0.4s + umulh x12, x17, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x7 + ldr q20, [sp, #208] + sbcs x5, x15, x17 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x7, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc // cc = lo, ul, last + shl v17.2d, v27.2d, #32 + csetm x15, cc // cc = lo, ul, last + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc // cc = lo, ul, last + cinv x9, x3, cc // cc = lo, ul, last + cmn x17, #0x1 + ldr q28, [sp, #176] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [sp, #208] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc // cc = lo, ul, last + cneg x6, x6, cc // cc = lo, ul, last + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x24, x3, x13 + adcs x25, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x26, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x27, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc // cc = lo, ul, last + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc // cc = lo, ul, last + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc // cc = lo, ul, last + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc // cc = lo, ul, last + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x24 + adcs x15, x16, x25 + eor x5, x17, x4 + adcs x9, x1, x26 + eor x1, x10, x5 + adcs x16, x2, x27 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff // #4294967295 + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 // #-4294967295 + adds x9, x11, x13 + and x1, x1, x13 + adcs x10, x4, x1 + and x1, x12, x13 + stp x9, x10, [sp, #192] + adcs x11, x7, xzr + adc x12, x17, x1 + stp x11, x12, [sp, #208] + ldp x5, x6, [sp, #64] + ldp x4, x3, [sp, #128] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #80] + ldp x4, x3, [sp, #144] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc // cc = lo, ul, last + adds x13, x5, x3 + and x4, x3, #0xffffffff + adcs x24, x6, x4 + adcs x25, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x26, x8, x4 + stp x13, x24, [sp, #160] + stp x25, x26, [sp, #176] + subs x5, x19, x9 + sbcs x6, x20, x10 + ldp x7, x8, [sp, #48] + sbcs x7, x7, x11 + sbcs x8, x8, x12 + csetm x3, cc // cc = lo, ul, last + adds x19, x5, x3 + and x4, x3, #0xffffffff + adcs x20, x6, x4 + adcs x7, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x8, x8, x4 + stp x19, x20, [sp, #32] + stp x7, x8, [sp, #48] + ldr q19, [sp, #160] + ldr q23, [sp, #176] + ldr q0, [sp, #160] + uzp2 v29.4s, v19.4s, v19.4s + xtn v4.2s, v19.2d + umulh x8, x13, x24 + rev64 v20.4s, v23.4s + umull v16.2d, v19.2s, v19.2s + umull v1.2d, v29.2s, v4.2s + mul v20.4s, v20.4s, v0.4s + subs x14, x13, x24 + umulh x15, x13, x25 + mov x16, v16.d[1] + umull2 v4.2d, v19.4s, v19.4s + mov x4, v16.d[0] + uzp1 v17.4s, v23.4s, v0.4s + uaddlp v19.2d, v20.4s + lsr x7, x8, #63 + mul x11, x13, x24 + mov x12, v1.d[0] + csetm x5, cc // cc = lo, ul, last + cneg x6, x14, cc // cc = lo, ul, last + mov x3, v4.d[1] + mov x14, v4.d[0] + subs x2, x26, x25 + mov x9, v1.d[1] + cneg x17, x2, cc // cc = lo, ul, last + cinv x2, x5, cc // cc = lo, ul, last + adds x5, x4, x12, lsl #33 + extr x4, x8, x11, #63 + lsr x8, x12, #31 + uzp1 v20.4s, v0.4s, v0.4s + shl v19.2d, v19.2d, #32 + adc x16, x16, x8 + adds x8, x14, x9, lsl #33 + lsr x14, x9, #31 + lsl x9, x5, #32 + umlal v19.2d, v20.2s, v17.2s + adc x14, x3, x14 + adds x16, x16, x11, lsl #1 + lsr x3, x5, #32 + umulh x12, x6, x17 + adcs x4, x8, x4 + adc x11, x14, x7 + subs x8, x5, x9 + sbc x5, x5, x3 + adds x16, x16, x9 + mov x14, v19.d[0] + mul x17, x6, x17 + adcs x3, x4, x3 + lsl x7, x16, #32 + umulh x13, x24, x26 + adcs x11, x11, x8 + lsr x8, x16, #32 + adc x5, x5, xzr + subs x9, x16, x7 + sbc x16, x16, x8 + adds x7, x3, x7 + mov x3, v19.d[1] + adcs x6, x11, x8 + umulh x11, x25, x26 + adcs x5, x5, x9 + eor x8, x12, x2 + adc x9, x16, xzr + adds x16, x14, x15 + adc x15, x15, xzr + adds x12, x16, x3 + eor x16, x17, x2 + mul x4, x25, x26 + adcs x15, x15, x13 + adc x17, x13, xzr + adds x15, x15, x3 + adc x3, x17, xzr + cmn x2, #0x1 + mul x17, x26, x26 + adcs x12, x12, x16 + adcs x16, x15, x8 + umulh x10, x26, x26 + adc x2, x3, x2 + adds x14, x14, x14 + adcs x12, x12, x12 + adcs x16, x16, x16 + adcs x2, x2, x2 + adc x15, xzr, xzr + adds x14, x14, x7 + mul x3, x25, x25 + adcs x12, x12, x6 + lsr x7, x14, #32 + adcs x16, x16, x5 + lsl x5, x14, #32 + umulh x13, x25, x25 + adcs x2, x2, x9 + mov x6, #0xffffffff // #4294967295 + adc x15, x15, xzr + adds x8, x4, x4 + adcs x1, x11, x11 + mov x11, #0xffffffff00000001 // #-4294967295 + adc x4, xzr, xzr + subs x9, x14, x5 + sbc x14, x14, x7 + adds x12, x12, x5 + adcs x16, x16, x7 + lsl x5, x12, #32 + lsr x7, x12, #32 + adcs x2, x2, x9 + adcs x14, x15, x14 + adc x15, xzr, xzr + subs x9, x12, x5 + sbc x12, x12, x7 + adds x16, x16, x5 + adcs x2, x2, x7 + adcs x14, x14, x9 + adcs x12, x15, x12 + adc x15, xzr, xzr + adds x16, x16, x3 + adcs x2, x2, x13 + adcs x14, x14, x17 + adcs x12, x12, x10 + adc x15, x15, xzr + adds x2, x2, x8 + adcs x14, x14, x1 + adcs x12, x12, x4 + adcs x15, x15, xzr + adds x3, x16, #0x1 + sbcs x5, x2, x6 + sbcs x8, x14, xzr + sbcs x11, x12, x11 + sbcs xzr, x15, xzr + csel x24, x3, x16, cs // cs = hs, nlast + csel x25, x8, x14, cs // cs = hs, nlast + csel x26, x11, x12, cs // cs = hs, nlast + csel x27, x5, x2, cs // cs = hs, nlast + stp x25, x26, [sp, #112] + stp x24, x27, [sp, #96] + mov x0, sp + ldr q19, [sp, #32] + ldr q23, [sp, #48] + ldr q0, [sp, #32] + ldp x1, x10, [sp, #48] + uzp2 v29.4s, v19.4s, v19.4s + xtn v4.2s, v19.2d + umulh x8, x19, x20 + rev64 v20.4s, v23.4s + umull v16.2d, v19.2s, v19.2s + umull v1.2d, v29.2s, v4.2s + mul v20.4s, v20.4s, v0.4s + subs x14, x19, x20 + umulh x15, x19, x1 + mov x16, v16.d[1] + umull2 v4.2d, v19.4s, v19.4s + mov x4, v16.d[0] + uzp1 v17.4s, v23.4s, v0.4s + uaddlp v19.2d, v20.4s + lsr x7, x8, #63 + mul x11, x19, x20 + mov x12, v1.d[0] + csetm x5, cc // cc = lo, ul, last + cneg x6, x14, cc // cc = lo, ul, last + mov x3, v4.d[1] + mov x14, v4.d[0] + subs x2, x10, x1 + mov x9, v1.d[1] + cneg x17, x2, cc // cc = lo, ul, last + cinv x2, x5, cc // cc = lo, ul, last + adds x5, x4, x12, lsl #33 + extr x4, x8, x11, #63 + lsr x8, x12, #31 + uzp1 v20.4s, v0.4s, v0.4s + shl v19.2d, v19.2d, #32 + adc x16, x16, x8 + adds x8, x14, x9, lsl #33 + lsr x14, x9, #31 + lsl x9, x5, #32 + umlal v19.2d, v20.2s, v17.2s + adc x14, x3, x14 + adds x16, x16, x11, lsl #1 + lsr x3, x5, #32 + umulh x12, x6, x17 + adcs x4, x8, x4 + adc x11, x14, x7 + subs x8, x5, x9 + sbc x5, x5, x3 + adds x16, x16, x9 + mov x14, v19.d[0] + mul x17, x6, x17 + adcs x3, x4, x3 + lsl x7, x16, #32 + umulh x13, x20, x10 + adcs x11, x11, x8 + lsr x8, x16, #32 + adc x5, x5, xzr + subs x9, x16, x7 + sbc x16, x16, x8 + adds x7, x3, x7 + mov x3, v19.d[1] + adcs x6, x11, x8 + umulh x11, x1, x10 + adcs x5, x5, x9 + eor x8, x12, x2 + adc x9, x16, xzr + adds x16, x14, x15 + adc x15, x15, xzr + adds x12, x16, x3 + eor x16, x17, x2 + mul x4, x1, x10 + adcs x15, x15, x13 + adc x17, x13, xzr + adds x15, x15, x3 + adc x3, x17, xzr + cmn x2, #0x1 + mul x17, x10, x10 + adcs x12, x12, x16 + adcs x16, x15, x8 + umulh x10, x10, x10 + adc x2, x3, x2 + adds x14, x14, x14 + adcs x12, x12, x12 + adcs x16, x16, x16 + adcs x2, x2, x2 + adc x15, xzr, xzr + adds x14, x14, x7 + mul x3, x1, x1 + adcs x12, x12, x6 + lsr x7, x14, #32 + adcs x16, x16, x5 + lsl x5, x14, #32 + umulh x13, x1, x1 + adcs x2, x2, x9 + mov x6, #0xffffffff // #4294967295 + adc x15, x15, xzr + adds x8, x4, x4 + adcs x1, x11, x11 + mov x11, #0xffffffff00000001 // #-4294967295 + adc x4, xzr, xzr + subs x9, x14, x5 + sbc x14, x14, x7 + adds x12, x12, x5 + adcs x16, x16, x7 + lsl x5, x12, #32 + lsr x7, x12, #32 + adcs x2, x2, x9 + adcs x14, x15, x14 + adc x15, xzr, xzr + subs x9, x12, x5 + sbc x12, x12, x7 + adds x16, x16, x5 + adcs x2, x2, x7 + adcs x14, x14, x9 + adcs x12, x15, x12 + adc x15, xzr, xzr + adds x16, x16, x3 + adcs x2, x2, x13 + adcs x14, x14, x17 + adcs x12, x12, x10 + adc x15, x15, xzr + adds x2, x2, x8 + adcs x14, x14, x1 + adcs x12, x12, x4 + adcs x15, x15, xzr + adds x3, x16, #0x1 + sbcs x5, x2, x6 + sbcs x8, x14, xzr + sbcs x11, x12, x11 + sbcs xzr, x15, xzr + csel x16, x3, x16, cs // cs = hs, nlast + csel x14, x8, x14, cs // cs = hs, nlast + csel x12, x11, x12, cs // cs = hs, nlast + csel x2, x5, x2, cs // cs = hs, nlast + stp x14, x12, [x0, #16] + stp x16, x2, [x0] + ldr q20, [sp, #128] + ldr q0, [sp, #96] + ldp x6, x10, [sp, #128] + rev64 v16.4s, v20.4s + subs x4, x24, x27 + csetm x3, cc // cc = lo, ul, last + cneg x13, x4, cc // cc = lo, ul, last + mul v16.4s, v16.4s, v0.4s + umulh x12, x27, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x25, x24 + ldr q20, [sp, #144] + sbcs x5, x26, x27 + ngc x17, xzr + subs x8, x25, x26 + uaddlp v27.2d, v16.4s + umulh x4, x24, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc // cc = lo, ul, last + shl v17.2d, v27.2d, #32 + csetm x15, cc // cc = lo, ul, last + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc // cc = lo, ul, last + cinv x9, x3, cc // cc = lo, ul, last + cmn x17, #0x1 + ldr q28, [sp, #112] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [sp, #144] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc // cc = lo, ul, last + cneg x6, x6, cc // cc = lo, ul, last + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x19, x3, x13 + adcs x20, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x25, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x26, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc // cc = lo, ul, last + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc // cc = lo, ul, last + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc // cc = lo, ul, last + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc // cc = lo, ul, last + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x19 + adcs x15, x16, x20 + eor x5, x17, x4 + adcs x9, x1, x25 + eor x1, x10, x5 + adcs x16, x2, x26 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff // #4294967295 + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 // #-4294967295 + adds x19, x11, x13 + and x1, x1, x13 + adcs x20, x4, x1 + and x1, x12, x13 + stp x19, x20, [sp, #128] + adcs x4, x7, xzr + adc x1, x17, x1 + stp x4, x1, [sp, #144] + ldr q20, [sp, #64] + ldr q0, [sp, #96] + ldp x6, x10, [sp, #64] + ldp x11, x15, [sp, #112] + rev64 v16.4s, v20.4s + subs x4, x24, x27 + csetm x3, cc // cc = lo, ul, last + cneg x13, x4, cc // cc = lo, ul, last + mul v16.4s, v16.4s, v0.4s + umulh x12, x27, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x24 + ldr q20, [sp, #80] + sbcs x5, x15, x27 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x24, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc // cc = lo, ul, last + shl v17.2d, v27.2d, #32 + csetm x15, cc // cc = lo, ul, last + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc // cc = lo, ul, last + cinv x9, x3, cc // cc = lo, ul, last + cmn x17, #0x1 + ldr q28, [sp, #112] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [sp, #80] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc // cc = lo, ul, last + cneg x6, x6, cc // cc = lo, ul, last + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x24, x3, x13 + adcs x25, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x26, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x27, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc // cc = lo, ul, last + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc // cc = lo, ul, last + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc // cc = lo, ul, last + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc // cc = lo, ul, last + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x24 + adcs x15, x16, x25 + eor x5, x17, x4 + adcs x9, x1, x26 + eor x1, x10, x5 + adcs x16, x2, x27 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff // #4294967295 + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 // #-4294967295 + adds x9, x11, x13 + and x1, x1, x13 + adcs x10, x4, x1 + and x1, x12, x13 + stp x9, x10, [sp, #64] + adcs x11, x7, xzr + adc x12, x17, x1 + stp x11, x12, [sp, #80] + mov x0, sp + mov x1, sp + ldp x5, x6, [x1] + subs x5, x5, x19 + sbcs x6, x6, x20 + ldp x7, x8, [x1, #16] + ldp x4, x3, [sp, #144] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc // cc = lo, ul, last + adds x24, x5, x3 + and x4, x3, #0xffffffff + adcs x25, x6, x4 + adcs x7, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x8, x8, x4 + stp x7, x8, [x0, #16] + subs x5, x9, x19 + sbcs x6, x10, x20 + ldp x4, x3, [sp, #144] + sbcs x7, x11, x4 + sbcs x8, x12, x3 + csetm x3, cc // cc = lo, ul, last + adds x5, x5, x3 + and x4, x3, #0xffffffff + adcs x6, x6, x4 + adcs x7, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x8, x8, x4 + stp x5, x6, [sp, #96] + stp x7, x8, [sp, #112] + ldr q20, [x22, #64] + ldp x7, x17, [sp, #160] + ldr q0, [sp, #160] + ldp x6, x10, [x22, #64] + ldp x11, x15, [sp, #176] + rev64 v16.4s, v20.4s + subs x4, x7, x17 + csetm x3, cc // cc = lo, ul, last + cneg x13, x4, cc // cc = lo, ul, last + mul v16.4s, v16.4s, v0.4s + umulh x12, x17, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x7 + ldr q20, [x22, #80] + sbcs x5, x15, x17 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x7, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc // cc = lo, ul, last + shl v17.2d, v27.2d, #32 + csetm x15, cc // cc = lo, ul, last + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc // cc = lo, ul, last + cinv x9, x3, cc // cc = lo, ul, last + cmn x17, #0x1 + ldr q28, [sp, #176] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [x22, #80] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc // cc = lo, ul, last + cneg x6, x6, cc // cc = lo, ul, last + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x19, x3, x13 + adcs x20, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x26, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x27, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc // cc = lo, ul, last + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc // cc = lo, ul, last + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc // cc = lo, ul, last + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc // cc = lo, ul, last + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x19 + adcs x15, x16, x20 + eor x5, x17, x4 + adcs x9, x1, x26 + eor x1, x10, x5 + adcs x16, x2, x27 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff // #4294967295 + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 // #-4294967295 + adds x11, x11, x13 + and x1, x1, x13 + adcs x4, x4, x1 + and x1, x12, x13 + stp x11, x4, [sp, #160] + adcs x19, x7, xzr + adc x20, x17, x1 + stp x19, x20, [sp, #176] + mov x0, sp + mov x1, sp + ldp x4, x3, [sp, #64] + subs x5, x24, x4 + sbcs x6, x25, x3 + ldp x7, x8, [x1, #16] + ldp x4, x3, [sp, #80] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc // cc = lo, ul, last + adds x9, x5, x3 + and x4, x3, #0xffffffff + adcs x10, x6, x4 + adcs x11, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x3, x8, x4 + stp x9, x10, [x0] + stp x11, x3, [x0, #16] + ldp x5, x6, [sp, #128] + subs x5, x5, x9 + sbcs x6, x6, x10 + ldp x7, x8, [sp, #144] + sbcs x7, x7, x11 + sbcs x8, x8, x3 + csetm x3, cc // cc = lo, ul, last + adds x5, x5, x3 + and x4, x3, #0xffffffff + adcs x6, x6, x4 + adcs x7, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x8, x8, x4 + stp x5, x6, [sp, #128] + stp x7, x8, [sp, #144] + ldr q20, [sp, #192] + ldp x7, x17, [sp, #96] + ldr q0, [sp, #96] + ldp x6, x10, [sp, #192] + ldp x11, x15, [sp, #112] + rev64 v16.4s, v20.4s + subs x4, x7, x17 + csetm x3, cc // cc = lo, ul, last + cneg x13, x4, cc // cc = lo, ul, last + mul v16.4s, v16.4s, v0.4s + umulh x12, x17, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x7 + ldr q20, [sp, #208] + sbcs x5, x15, x17 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x7, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc // cc = lo, ul, last + shl v17.2d, v27.2d, #32 + csetm x15, cc // cc = lo, ul, last + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc // cc = lo, ul, last + cinv x9, x3, cc // cc = lo, ul, last + cmn x17, #0x1 + ldr q28, [sp, #112] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [sp, #208] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc // cc = lo, ul, last + cneg x6, x6, cc // cc = lo, ul, last + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x24, x3, x13 + adcs x25, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x26, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x27, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc // cc = lo, ul, last + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc // cc = lo, ul, last + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc // cc = lo, ul, last + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc // cc = lo, ul, last + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x24 + adcs x15, x16, x25 + eor x5, x17, x4 + adcs x9, x1, x26 + eor x1, x10, x5 + adcs x16, x2, x27 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff // #4294967295 + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 // #-4294967295 + adds x11, x11, x13 + and x1, x1, x13 + adcs x4, x4, x1 + and x1, x12, x13 + stp x11, x4, [sp, #96] + adcs x4, x7, xzr + adc x1, x17, x1 + stp x4, x1, [sp, #112] + ldr q20, [x23, #64] + ldp x7, x17, [sp, #160] + ldr q0, [sp, #160] + ldp x6, x10, [x23, #64] + rev64 v16.4s, v20.4s + subs x4, x7, x17 + csetm x3, cc // cc = lo, ul, last + cneg x13, x4, cc // cc = lo, ul, last + mul v16.4s, v16.4s, v0.4s + umulh x12, x17, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x19, x7 + ldr q20, [x23, #80] + sbcs x5, x20, x17 + ngc x17, xzr + subs x8, x19, x20 + uaddlp v27.2d, v16.4s + umulh x4, x7, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc // cc = lo, ul, last + shl v17.2d, v27.2d, #32 + csetm x15, cc // cc = lo, ul, last + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc // cc = lo, ul, last + cinv x9, x3, cc // cc = lo, ul, last + cmn x17, #0x1 + ldr q28, [sp, #176] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [x23, #80] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc // cc = lo, ul, last + cneg x6, x6, cc // cc = lo, ul, last + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x19, x3, x13 + adcs x20, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x24, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x25, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc // cc = lo, ul, last + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc // cc = lo, ul, last + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc // cc = lo, ul, last + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc // cc = lo, ul, last + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x19 + adcs x15, x16, x20 + eor x5, x17, x4 + adcs x9, x1, x24 + eor x1, x10, x5 + adcs x16, x2, x25 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff // #4294967295 + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 // #-4294967295 + adds x19, x11, x13 + and x1, x1, x13 + adcs x20, x4, x1 + and x1, x12, x13 + stp x19, x20, [sp, #160] + adcs x4, x7, xzr + adc x1, x17, x1 + stp x4, x1, [sp, #176] + ldr q20, [sp, #128] + ldp x7, x17, [sp, #32] + ldr q0, [sp, #32] + ldp x6, x10, [sp, #128] + ldp x11, x15, [sp, #48] + rev64 v16.4s, v20.4s + subs x4, x7, x17 + csetm x3, cc // cc = lo, ul, last + cneg x13, x4, cc // cc = lo, ul, last + mul v16.4s, v16.4s, v0.4s + umulh x12, x17, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x7 + ldr q20, [sp, #144] + sbcs x5, x15, x17 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x7, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc // cc = lo, ul, last + shl v17.2d, v27.2d, #32 + csetm x15, cc // cc = lo, ul, last + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc // cc = lo, ul, last + cinv x9, x3, cc // cc = lo, ul, last + cmn x17, #0x1 + ldr q28, [sp, #48] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [sp, #144] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc // cc = lo, ul, last + cneg x6, x6, cc // cc = lo, ul, last + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x24, x3, x13 + adcs x25, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x26, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x27, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc // cc = lo, ul, last + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc // cc = lo, ul, last + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc // cc = lo, ul, last + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc // cc = lo, ul, last + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x24 + adcs x15, x16, x25 + eor x5, x17, x4 + adcs x9, x1, x26 + eor x1, x10, x5 + adcs x16, x2, x27 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff // #4294967295 + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 // #-4294967295 + adds x5, x11, x13 + and x1, x1, x13 + adcs x6, x4, x1 + and x1, x12, x13 + adcs x7, x7, xzr + adc x9, x17, x1 + ldp x4, x3, [sp, #96] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x4, x3, [sp, #112] + sbcs x7, x7, x4 + sbcs x8, x9, x3 + csetm x3, cc // cc = lo, ul, last + adds x15, x5, x3 + and x4, x3, #0xffffffff + adcs x24, x6, x4 + adcs x25, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x26, x8, x4 + stp x15, x24, [sp, #128] + stp x25, x26, [sp, #144] + ldp x0, x1, [x22, #64] + ldp x2, x3, [x22, #80] + orr x12, x0, x1 + orr x13, x2, x3 + orr x12, x12, x13 + cmp x12, xzr + cset x12, ne // ne = any + ldp x4, x5, [x23, #64] + ldp x6, x7, [x23, #80] + orr x13, x4, x5 + orr x14, x6, x7 + orr x13, x13, x14 + cmp x13, xzr + cset x13, ne // ne = any + cmp x13, x12 + csel x8, x0, x19, cc // cc = lo, ul, last + csel x9, x1, x20, cc // cc = lo, ul, last + csel x8, x4, x8, hi // hi = pmore + csel x9, x5, x9, hi // hi = pmore + ldp x10, x11, [sp, #176] + csel x10, x2, x10, cc // cc = lo, ul, last + csel x11, x3, x11, cc // cc = lo, ul, last + csel x10, x6, x10, hi // hi = pmore + csel x11, x7, x11, hi // hi = pmore + ldp x12, x13, [x22] + ldp x0, x1, [sp] + csel x0, x12, x0, cc // cc = lo, ul, last + csel x1, x13, x1, cc // cc = lo, ul, last + ldp x12, x13, [x23] + csel x0, x12, x0, hi // hi = pmore + csel x1, x13, x1, hi // hi = pmore + ldp x12, x13, [x22, #16] + ldp x2, x3, [sp, #16] + csel x2, x12, x2, cc // cc = lo, ul, last + csel x3, x13, x3, cc // cc = lo, ul, last + ldp x12, x13, [x23, #16] + csel x2, x12, x2, hi // hi = pmore + csel x3, x13, x3, hi // hi = pmore + ldp x12, x13, [x22, #32] + csel x4, x12, x15, cc // cc = lo, ul, last + csel x5, x13, x24, cc // cc = lo, ul, last + ldp x12, x13, [x23, #32] + csel x4, x12, x4, hi // hi = pmore + csel x5, x13, x5, hi // hi = pmore + ldp x12, x13, [x22, #48] + csel x6, x12, x25, cc // cc = lo, ul, last + csel x7, x13, x26, cc // cc = lo, ul, last + ldp x12, x13, [x23, #48] + csel x6, x12, x6, hi // hi = pmore + csel x7, x13, x7, hi // hi = pmore + stp x0, x1, [x21] + stp x2, x3, [x21, #16] + stp x4, x5, [x21, #32] + stp x6, x7, [x21, #48] + stp x8, x9, [x21, #64] + stp x10, x11, [x21, #80] + CFI_INC_SP(224) + CFI_POP2(x27,x30) + CFI_POP2(x25,x26) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmul_local_p256_montjadd) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmul_local_p256_montjdouble) + +Lp256_scalarmul_local_p256_montjdouble: + CFI_START + CFI_DEC_SP(272) + stp x19, x20, [sp, #192] + stp x21, x22, [sp, #208] + stp x23, x24, [sp, #224] + stp x25, x26, [sp, #240] + stp x27, xzr, [sp, #256] + mov x19, x0 + mov x20, x1 + mov x0, sp + ldr q19, [x20, #64] + ldp x9, x13, [x20, #64] + ldr q23, [x20, #80] + ldr q0, [x20, #64] + ldp x1, x10, [x20, #80] + uzp2 v29.4s, v19.4s, v19.4s + xtn v4.2s, v19.2d + umulh x8, x9, x13 + rev64 v20.4s, v23.4s + umull v16.2d, v19.2s, v19.2s + umull v1.2d, v29.2s, v4.2s + mul v20.4s, v20.4s, v0.4s + subs x14, x9, x13 + umulh x15, x9, x1 + mov x16, v16.d[1] + umull2 v4.2d, v19.4s, v19.4s + mov x4, v16.d[0] + uzp1 v17.4s, v23.4s, v0.4s + uaddlp v19.2d, v20.4s + lsr x7, x8, #63 + mul x11, x9, x13 + mov x12, v1.d[0] + csetm x5, cc // cc = lo, ul, last + cneg x6, x14, cc // cc = lo, ul, last + mov x3, v4.d[1] + mov x14, v4.d[0] + subs x2, x10, x1 + mov x9, v1.d[1] + cneg x17, x2, cc // cc = lo, ul, last + cinv x2, x5, cc // cc = lo, ul, last + adds x5, x4, x12, lsl #33 + extr x4, x8, x11, #63 + lsr x8, x12, #31 + uzp1 v20.4s, v0.4s, v0.4s + shl v19.2d, v19.2d, #32 + adc x16, x16, x8 + adds x8, x14, x9, lsl #33 + lsr x14, x9, #31 + lsl x9, x5, #32 + umlal v19.2d, v20.2s, v17.2s + adc x14, x3, x14 + adds x16, x16, x11, lsl #1 + lsr x3, x5, #32 + umulh x12, x6, x17 + adcs x4, x8, x4 + adc x11, x14, x7 + subs x8, x5, x9 + sbc x5, x5, x3 + adds x16, x16, x9 + mov x14, v19.d[0] + mul x17, x6, x17 + adcs x3, x4, x3 + lsl x7, x16, #32 + umulh x13, x13, x10 + adcs x11, x11, x8 + lsr x8, x16, #32 + adc x5, x5, xzr + subs x9, x16, x7 + sbc x16, x16, x8 + adds x7, x3, x7 + mov x3, v19.d[1] + adcs x6, x11, x8 + umulh x11, x1, x10 + adcs x5, x5, x9 + eor x8, x12, x2 + adc x9, x16, xzr + adds x16, x14, x15 + adc x15, x15, xzr + adds x12, x16, x3 + eor x16, x17, x2 + mul x4, x1, x10 + adcs x15, x15, x13 + adc x17, x13, xzr + adds x15, x15, x3 + adc x3, x17, xzr + cmn x2, #0x1 + mul x17, x10, x10 + adcs x12, x12, x16 + adcs x16, x15, x8 + umulh x10, x10, x10 + adc x2, x3, x2 + adds x14, x14, x14 + adcs x12, x12, x12 + adcs x16, x16, x16 + adcs x2, x2, x2 + adc x15, xzr, xzr + adds x14, x14, x7 + mul x3, x1, x1 + adcs x12, x12, x6 + lsr x7, x14, #32 + adcs x16, x16, x5 + lsl x5, x14, #32 + umulh x13, x1, x1 + adcs x2, x2, x9 + mov x6, #0xffffffff // #4294967295 + adc x15, x15, xzr + adds x8, x4, x4 + adcs x1, x11, x11 + mov x11, #0xffffffff00000001 // #-4294967295 + adc x4, xzr, xzr + subs x9, x14, x5 + sbc x14, x14, x7 + adds x12, x12, x5 + adcs x16, x16, x7 + lsl x5, x12, #32 + lsr x7, x12, #32 + adcs x2, x2, x9 + adcs x14, x15, x14 + adc x15, xzr, xzr + subs x9, x12, x5 + sbc x12, x12, x7 + adds x16, x16, x5 + adcs x2, x2, x7 + adcs x14, x14, x9 + adcs x12, x15, x12 + adc x15, xzr, xzr + adds x16, x16, x3 + adcs x2, x2, x13 + adcs x14, x14, x17 + adcs x12, x12, x10 + adc x15, x15, xzr + adds x2, x2, x8 + adcs x14, x14, x1 + adcs x12, x12, x4 + adcs x15, x15, xzr + adds x3, x16, #0x1 + sbcs x5, x2, x6 + sbcs x8, x14, xzr + sbcs x11, x12, x11 + sbcs xzr, x15, xzr + csel x21, x3, x16, cs // cs = hs, nlast + csel x22, x8, x14, cs // cs = hs, nlast + csel x23, x11, x12, cs // cs = hs, nlast + csel x24, x5, x2, cs // cs = hs, nlast + stp x22, x23, [x0, #16] + stp x21, x24, [x0] + ldr q19, [x20, #32] + ldp x9, x13, [x20, #32] + ldr q23, [x20, #48] + ldr q0, [x20, #32] + ldp x1, x10, [x20, #48] + uzp2 v29.4s, v19.4s, v19.4s + xtn v4.2s, v19.2d + umulh x8, x9, x13 + rev64 v20.4s, v23.4s + umull v16.2d, v19.2s, v19.2s + umull v1.2d, v29.2s, v4.2s + mul v20.4s, v20.4s, v0.4s + subs x14, x9, x13 + umulh x15, x9, x1 + mov x16, v16.d[1] + umull2 v4.2d, v19.4s, v19.4s + mov x4, v16.d[0] + uzp1 v17.4s, v23.4s, v0.4s + uaddlp v19.2d, v20.4s + lsr x7, x8, #63 + mul x11, x9, x13 + mov x12, v1.d[0] + csetm x5, cc // cc = lo, ul, last + cneg x6, x14, cc // cc = lo, ul, last + mov x3, v4.d[1] + mov x14, v4.d[0] + subs x2, x10, x1 + mov x9, v1.d[1] + cneg x17, x2, cc // cc = lo, ul, last + cinv x2, x5, cc // cc = lo, ul, last + adds x5, x4, x12, lsl #33 + extr x4, x8, x11, #63 + lsr x8, x12, #31 + uzp1 v20.4s, v0.4s, v0.4s + shl v19.2d, v19.2d, #32 + adc x16, x16, x8 + adds x8, x14, x9, lsl #33 + lsr x14, x9, #31 + lsl x9, x5, #32 + umlal v19.2d, v20.2s, v17.2s + adc x14, x3, x14 + adds x16, x16, x11, lsl #1 + lsr x3, x5, #32 + umulh x12, x6, x17 + adcs x4, x8, x4 + adc x11, x14, x7 + subs x8, x5, x9 + sbc x5, x5, x3 + adds x16, x16, x9 + mov x14, v19.d[0] + mul x17, x6, x17 + adcs x3, x4, x3 + lsl x7, x16, #32 + umulh x13, x13, x10 + adcs x11, x11, x8 + lsr x8, x16, #32 + adc x5, x5, xzr + subs x9, x16, x7 + sbc x16, x16, x8 + adds x7, x3, x7 + mov x3, v19.d[1] + adcs x6, x11, x8 + umulh x11, x1, x10 + adcs x5, x5, x9 + eor x8, x12, x2 + adc x9, x16, xzr + adds x16, x14, x15 + adc x15, x15, xzr + adds x12, x16, x3 + eor x16, x17, x2 + mul x4, x1, x10 + adcs x15, x15, x13 + adc x17, x13, xzr + adds x15, x15, x3 + adc x3, x17, xzr + cmn x2, #0x1 + mul x17, x10, x10 + adcs x12, x12, x16 + adcs x16, x15, x8 + umulh x10, x10, x10 + adc x2, x3, x2 + adds x14, x14, x14 + adcs x12, x12, x12 + adcs x16, x16, x16 + adcs x2, x2, x2 + adc x15, xzr, xzr + adds x14, x14, x7 + mul x3, x1, x1 + adcs x12, x12, x6 + lsr x7, x14, #32 + adcs x16, x16, x5 + lsl x5, x14, #32 + umulh x13, x1, x1 + adcs x2, x2, x9 + mov x6, #0xffffffff // #4294967295 + adc x15, x15, xzr + adds x8, x4, x4 + adcs x1, x11, x11 + mov x11, #0xffffffff00000001 // #-4294967295 + adc x4, xzr, xzr + subs x9, x14, x5 + sbc x14, x14, x7 + adds x12, x12, x5 + adcs x16, x16, x7 + lsl x5, x12, #32 + lsr x7, x12, #32 + adcs x2, x2, x9 + adcs x14, x15, x14 + adc x15, xzr, xzr + subs x9, x12, x5 + sbc x12, x12, x7 + adds x16, x16, x5 + adcs x2, x2, x7 + adcs x14, x14, x9 + adcs x12, x15, x12 + adc x15, xzr, xzr + adds x16, x16, x3 + adcs x2, x2, x13 + adcs x14, x14, x17 + adcs x12, x12, x10 + adc x15, x15, xzr + adds x2, x2, x8 + adcs x14, x14, x1 + adcs x12, x12, x4 + adcs x15, x15, xzr + adds x3, x16, #0x1 + sbcs x5, x2, x6 + sbcs x8, x14, xzr + sbcs x11, x12, x11 + sbcs xzr, x15, xzr + csel x16, x3, x16, cs // cs = hs, nlast + csel x14, x8, x14, cs // cs = hs, nlast + csel x12, x11, x12, cs // cs = hs, nlast + csel x2, x5, x2, cs // cs = hs, nlast + stp x14, x12, [sp, #48] + stp x16, x2, [sp, #32] + ldp x5, x6, [x20] + subs x5, x5, x21 + sbcs x6, x6, x24 + ldp x7, x8, [x20, #16] + sbcs x7, x7, x22 + sbcs x8, x8, x23 + csetm x3, cc // cc = lo, ul, last + adds x10, x5, x3 + and x4, x3, #0xffffffff + adcs x25, x6, x4 + adcs x26, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x27, x8, x4 + stp x10, x25, [sp, #96] + stp x26, x27, [sp, #112] + ldp x5, x6, [x20] + adds x5, x5, x21 + adcs x6, x6, x24 + ldp x7, x8, [x20, #16] + adcs x7, x7, x22 + adcs x8, x8, x23 + csetm x3, cs // cs = hs, nlast + subs x9, x5, x3 + and x1, x3, #0xffffffff + sbcs x5, x6, x1 + sbcs x7, x7, xzr + and x2, x3, #0xffffffff00000001 + sbc x8, x8, x2 + stp x9, x5, [sp, #64] + stp x7, x8, [sp, #80] + ldr q20, [sp, #96] + ldr q0, [sp, #64] + rev64 v16.4s, v20.4s + subs x4, x9, x5 + csetm x3, cc // cc = lo, ul, last + cneg x13, x4, cc // cc = lo, ul, last + mul v16.4s, v16.4s, v0.4s + umulh x12, x5, x25 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x7, x9 + ldr q20, [sp, #112] + sbcs x5, x8, x5 + ngc x17, xzr + subs x8, x7, x8 + uaddlp v27.2d, v16.4s + umulh x4, x9, x10 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc // cc = lo, ul, last + shl v17.2d, v27.2d, #32 + csetm x15, cc // cc = lo, ul, last + subs x9, x25, x10 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc // cc = lo, ul, last + cinv x9, x3, cc // cc = lo, ul, last + cmn x17, #0x1 + ldr q28, [sp, #80] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x10, x26 + sbcs x9, x25, x27 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x27, x26 + cinv x2, x15, cc // cc = lo, ul, last + cneg x6, x6, cc // cc = lo, ul, last + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x21, x3, x13 + adcs x22, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x23, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x24, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc // cc = lo, ul, last + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc // cc = lo, ul, last + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc // cc = lo, ul, last + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc // cc = lo, ul, last + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x21 + adcs x15, x16, x22 + eor x5, x17, x4 + adcs x9, x1, x23 + eor x1, x10, x5 + adcs x16, x2, x24 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff // #4294967295 + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 // #-4294967295 + adds x21, x11, x13 + and x1, x1, x13 + adcs x22, x4, x1 + and x1, x12, x13 + stp x21, x22, [sp, #96] + adcs x23, x7, xzr + adc x24, x17, x1 + stp x23, x24, [sp, #112] + ldp x4, x5, [x20, #32] + ldp x8, x9, [x20, #64] + adds x4, x4, x8 + adcs x5, x5, x9 + ldp x6, x7, [x20, #48] + ldp x10, x11, [x20, #80] + adcs x6, x6, x10 + adcs x7, x7, x11 + adc x3, xzr, xzr + adds x8, x4, #0x1 + mov x9, #0xffffffff // #4294967295 + sbcs x9, x5, x9 + sbcs x10, x6, xzr + mov x11, #0xffffffff00000001 // #-4294967295 + sbcs x11, x7, x11 + sbcs x3, x3, xzr + csel x4, x4, x8, cc // cc = lo, ul, last + csel x5, x5, x9, cc // cc = lo, ul, last + csel x6, x6, x10, cc // cc = lo, ul, last + csel x7, x7, x11, cc // cc = lo, ul, last + stp x4, x5, [sp, #64] + stp x6, x7, [sp, #80] + ldr q20, [sp, #32] + ldp x7, x17, [x20] + ldr q0, [x20] + ldp x6, x10, [sp, #32] + ldp x11, x15, [x20, #16] + rev64 v16.4s, v20.4s + subs x4, x7, x17 + csetm x3, cc // cc = lo, ul, last + cneg x13, x4, cc // cc = lo, ul, last + mul v16.4s, v16.4s, v0.4s + umulh x12, x17, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x11, x7 + ldr q20, [sp, #48] + sbcs x5, x15, x17 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2d, v16.4s + umulh x4, x7, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc // cc = lo, ul, last + shl v17.2d, v27.2d, #32 + csetm x15, cc // cc = lo, ul, last + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc // cc = lo, ul, last + cinv x9, x3, cc // cc = lo, ul, last + cmn x17, #0x1 + ldr q28, [x20, #16] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [sp, #48] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc // cc = lo, ul, last + cneg x6, x6, cc // cc = lo, ul, last + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x20, x3, x13 + adcs x25, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x26, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x27, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc // cc = lo, ul, last + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc // cc = lo, ul, last + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc // cc = lo, ul, last + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc // cc = lo, ul, last + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x20 + adcs x15, x16, x25 + eor x5, x17, x4 + adcs x9, x1, x26 + eor x1, x10, x5 + adcs x16, x2, x27 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff // #4294967295 + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 // #-4294967295 + adds x20, x11, x13 + and x1, x1, x13 + adcs x25, x4, x1 + and x1, x12, x13 + stp x20, x25, [sp, #128] + adcs x4, x7, xzr + adc x1, x17, x1 + stp x4, x1, [sp, #144] + ldr q19, [sp, #96] + ldr q23, [sp, #112] + ldr q0, [sp, #96] + uzp2 v29.4s, v19.4s, v19.4s + xtn v4.2s, v19.2d + umulh x8, x21, x22 + rev64 v20.4s, v23.4s + umull v16.2d, v19.2s, v19.2s + umull v1.2d, v29.2s, v4.2s + mul v20.4s, v20.4s, v0.4s + subs x14, x21, x22 + umulh x15, x21, x23 + mov x16, v16.d[1] + umull2 v4.2d, v19.4s, v19.4s + mov x4, v16.d[0] + uzp1 v17.4s, v23.4s, v0.4s + uaddlp v19.2d, v20.4s + lsr x7, x8, #63 + mul x11, x21, x22 + mov x12, v1.d[0] + csetm x5, cc // cc = lo, ul, last + cneg x6, x14, cc // cc = lo, ul, last + mov x3, v4.d[1] + mov x14, v4.d[0] + subs x2, x24, x23 + mov x9, v1.d[1] + cneg x17, x2, cc // cc = lo, ul, last + cinv x2, x5, cc // cc = lo, ul, last + adds x5, x4, x12, lsl #33 + extr x4, x8, x11, #63 + lsr x8, x12, #31 + uzp1 v20.4s, v0.4s, v0.4s + shl v19.2d, v19.2d, #32 + adc x16, x16, x8 + adds x8, x14, x9, lsl #33 + lsr x14, x9, #31 + lsl x9, x5, #32 + umlal v19.2d, v20.2s, v17.2s + adc x14, x3, x14 + adds x16, x16, x11, lsl #1 + lsr x3, x5, #32 + umulh x12, x6, x17 + adcs x4, x8, x4 + adc x11, x14, x7 + subs x8, x5, x9 + sbc x5, x5, x3 + adds x16, x16, x9 + mov x14, v19.d[0] + mul x17, x6, x17 + adcs x3, x4, x3 + lsl x7, x16, #32 + umulh x13, x22, x24 + adcs x11, x11, x8 + lsr x8, x16, #32 + adc x5, x5, xzr + subs x9, x16, x7 + sbc x16, x16, x8 + adds x7, x3, x7 + mov x3, v19.d[1] + adcs x6, x11, x8 + umulh x11, x23, x24 + adcs x5, x5, x9 + eor x8, x12, x2 + adc x9, x16, xzr + adds x16, x14, x15 + adc x15, x15, xzr + adds x12, x16, x3 + eor x16, x17, x2 + mul x4, x23, x24 + adcs x15, x15, x13 + adc x17, x13, xzr + adds x15, x15, x3 + adc x3, x17, xzr + cmn x2, #0x1 + mul x17, x24, x24 + adcs x12, x12, x16 + adcs x16, x15, x8 + umulh x10, x24, x24 + adc x2, x3, x2 + adds x14, x14, x14 + adcs x12, x12, x12 + adcs x16, x16, x16 + adcs x2, x2, x2 + adc x15, xzr, xzr + adds x14, x14, x7 + mul x3, x23, x23 + adcs x12, x12, x6 + lsr x7, x14, #32 + adcs x16, x16, x5 + lsl x5, x14, #32 + umulh x13, x23, x23 + adcs x2, x2, x9 + mov x6, #0xffffffff // #4294967295 + adc x15, x15, xzr + adds x8, x4, x4 + adcs x1, x11, x11 + mov x11, #0xffffffff00000001 // #-4294967295 + adc x4, xzr, xzr + subs x9, x14, x5 + sbc x14, x14, x7 + adds x12, x12, x5 + adcs x16, x16, x7 + lsl x5, x12, #32 + lsr x7, x12, #32 + adcs x2, x2, x9 + adcs x14, x15, x14 + adc x15, xzr, xzr + subs x9, x12, x5 + sbc x12, x12, x7 + adds x16, x16, x5 + adcs x2, x2, x7 + adcs x14, x14, x9 + adcs x12, x15, x12 + adc x15, xzr, xzr + adds x16, x16, x3 + adcs x2, x2, x13 + adcs x14, x14, x17 + adcs x12, x12, x10 + adc x15, x15, xzr + adds x2, x2, x8 + adcs x14, x14, x1 + adcs x12, x12, x4 + adcs x15, x15, xzr + adds x3, x16, #0x1 + sbcs x5, x2, x6 + sbcs x8, x14, xzr + sbcs x11, x12, x11 + sbcs xzr, x15, xzr + csel x21, x3, x16, cs // cs = hs, nlast + csel x22, x8, x14, cs // cs = hs, nlast + csel x23, x11, x12, cs // cs = hs, nlast + csel x24, x5, x2, cs // cs = hs, nlast + ldr q19, [sp, #64] + ldp x9, x13, [sp, #64] + ldr q23, [sp, #80] + ldr q0, [sp, #64] + ldp x1, x10, [sp, #80] + uzp2 v29.4s, v19.4s, v19.4s + xtn v4.2s, v19.2d + umulh x8, x9, x13 + rev64 v20.4s, v23.4s + umull v16.2d, v19.2s, v19.2s + umull v1.2d, v29.2s, v4.2s + mul v20.4s, v20.4s, v0.4s + subs x14, x9, x13 + umulh x15, x9, x1 + mov x16, v16.d[1] + umull2 v4.2d, v19.4s, v19.4s + mov x4, v16.d[0] + uzp1 v17.4s, v23.4s, v0.4s + uaddlp v19.2d, v20.4s + lsr x7, x8, #63 + mul x11, x9, x13 + mov x12, v1.d[0] + csetm x5, cc // cc = lo, ul, last + cneg x6, x14, cc // cc = lo, ul, last + mov x3, v4.d[1] + mov x14, v4.d[0] + subs x2, x10, x1 + mov x9, v1.d[1] + cneg x17, x2, cc // cc = lo, ul, last + cinv x2, x5, cc // cc = lo, ul, last + adds x5, x4, x12, lsl #33 + extr x4, x8, x11, #63 + lsr x8, x12, #31 + uzp1 v20.4s, v0.4s, v0.4s + shl v19.2d, v19.2d, #32 + adc x16, x16, x8 + adds x8, x14, x9, lsl #33 + lsr x14, x9, #31 + lsl x9, x5, #32 + umlal v19.2d, v20.2s, v17.2s + adc x14, x3, x14 + adds x16, x16, x11, lsl #1 + lsr x3, x5, #32 + umulh x12, x6, x17 + adcs x4, x8, x4 + adc x11, x14, x7 + subs x8, x5, x9 + sbc x5, x5, x3 + adds x16, x16, x9 + mov x14, v19.d[0] + mul x17, x6, x17 + adcs x3, x4, x3 + lsl x7, x16, #32 + umulh x13, x13, x10 + adcs x11, x11, x8 + lsr x8, x16, #32 + adc x5, x5, xzr + subs x9, x16, x7 + sbc x16, x16, x8 + adds x7, x3, x7 + mov x3, v19.d[1] + adcs x6, x11, x8 + umulh x11, x1, x10 + adcs x5, x5, x9 + eor x8, x12, x2 + adc x9, x16, xzr + adds x16, x14, x15 + adc x15, x15, xzr + adds x12, x16, x3 + eor x16, x17, x2 + mul x4, x1, x10 + adcs x15, x15, x13 + adc x17, x13, xzr + adds x15, x15, x3 + adc x3, x17, xzr + cmn x2, #0x1 + mul x17, x10, x10 + adcs x12, x12, x16 + adcs x16, x15, x8 + umulh x10, x10, x10 + adc x2, x3, x2 + adds x14, x14, x14 + adcs x12, x12, x12 + adcs x16, x16, x16 + adcs x2, x2, x2 + adc x15, xzr, xzr + adds x14, x14, x7 + mul x3, x1, x1 + adcs x12, x12, x6 + lsr x7, x14, #32 + adcs x16, x16, x5 + lsl x5, x14, #32 + umulh x13, x1, x1 + adcs x2, x2, x9 + mov x6, #0xffffffff // #4294967295 + adc x15, x15, xzr + adds x8, x4, x4 + adcs x1, x11, x11 + mov x11, #0xffffffff00000001 // #-4294967295 + adc x4, xzr, xzr + subs x9, x14, x5 + sbc x14, x14, x7 + adds x12, x12, x5 + adcs x16, x16, x7 + lsl x5, x12, #32 + lsr x7, x12, #32 + adcs x2, x2, x9 + adcs x14, x15, x14 + adc x15, xzr, xzr + subs x9, x12, x5 + sbc x12, x12, x7 + adds x16, x16, x5 + adcs x2, x2, x7 + adcs x14, x14, x9 + adcs x12, x15, x12 + adc x15, xzr, xzr + adds x16, x16, x3 + adcs x2, x2, x13 + adcs x14, x14, x17 + adcs x12, x12, x10 + adc x15, x15, xzr + adds x2, x2, x8 + adcs x14, x14, x1 + adcs x12, x12, x4 + adcs x15, x15, xzr + adds x3, x16, #0x1 + sbcs x5, x2, x6 + sbcs x8, x14, xzr + sbcs x11, x12, x11 + sbcs xzr, x15, xzr + csel x13, x3, x16, cs // cs = hs, nlast + csel x14, x8, x14, cs // cs = hs, nlast + csel x15, x11, x12, cs // cs = hs, nlast + csel x26, x5, x2, cs // cs = hs, nlast + mov x1, #0x9 // #9 + mov x2, #0xffffffffffffffff // #-1 + subs x9, x2, x21 + mov x2, #0xffffffff // #4294967295 + sbcs x10, x2, x24 + ngcs x11, x22 + mov x2, #0xffffffff00000001 // #-4294967295 + sbc x12, x2, x23 + mul x3, x1, x9 + mul x4, x1, x10 + mul x5, x1, x11 + mul x6, x1, x12 + umulh x9, x1, x9 + umulh x10, x1, x10 + umulh x11, x1, x11 + umulh x7, x1, x12 + adds x4, x4, x9 + adcs x5, x5, x10 + adcs x6, x6, x11 + adc x7, x7, xzr + mov x1, #0xc // #12 + mul x8, x20, x1 + umulh x9, x20, x1 + adds x3, x3, x8 + mul x8, x25, x1 + umulh x10, x25, x1 + adcs x4, x4, x8 + ldp x11, x12, [sp, #144] + mul x8, x11, x1 + umulh x11, x11, x1 + adcs x5, x5, x8 + mul x8, x12, x1 + umulh x12, x12, x1 + adcs x6, x6, x8 + adc x7, x7, xzr + adds x4, x4, x9 + adcs x5, x5, x10 + adcs x6, x6, x11 + adc x7, x7, x12 + add x8, x7, #0x1 + lsl x10, x8, #32 + adds x6, x6, x10 + adc x7, x7, xzr + neg x9, x8 + sub x10, x10, #0x1 + subs x3, x3, x9 + sbcs x4, x4, x10 + sbcs x5, x5, xzr + sbcs x6, x6, x8 + sbc x8, x7, x8 + adds x20, x3, x8 + and x9, x8, #0xffffffff + adcs x21, x4, x9 + adcs x22, x5, xzr + neg x10, x9 + adc x23, x6, x10 + stp x20, x21, [sp, #160] + stp x22, x23, [sp, #176] + mov x2, sp + ldp x4, x3, [x2] + subs x5, x13, x4 + sbcs x6, x26, x3 + ldp x4, x3, [x2, #16] + sbcs x7, x14, x4 + sbcs x8, x15, x3 + csetm x3, cc // cc = lo, ul, last + adds x5, x5, x3 + and x4, x3, #0xffffffff + adcs x6, x6, x4 + adcs x7, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x8, x8, x4 + stp x5, x6, [sp, #64] + stp x7, x8, [sp, #80] + mov x0, sp + ldr q19, [sp, #32] + ldp x9, x13, [sp, #32] + ldr q23, [sp, #48] + ldr q0, [sp, #32] + ldp x1, x10, [sp, #48] + uzp2 v29.4s, v19.4s, v19.4s + xtn v4.2s, v19.2d + umulh x8, x9, x13 + rev64 v20.4s, v23.4s + umull v16.2d, v19.2s, v19.2s + umull v1.2d, v29.2s, v4.2s + mul v20.4s, v20.4s, v0.4s + subs x14, x9, x13 + umulh x15, x9, x1 + mov x16, v16.d[1] + umull2 v4.2d, v19.4s, v19.4s + mov x4, v16.d[0] + uzp1 v17.4s, v23.4s, v0.4s + uaddlp v19.2d, v20.4s + lsr x7, x8, #63 + mul x11, x9, x13 + mov x12, v1.d[0] + csetm x5, cc // cc = lo, ul, last + cneg x6, x14, cc // cc = lo, ul, last + mov x3, v4.d[1] + mov x14, v4.d[0] + subs x2, x10, x1 + mov x9, v1.d[1] + cneg x17, x2, cc // cc = lo, ul, last + cinv x2, x5, cc // cc = lo, ul, last + adds x5, x4, x12, lsl #33 + extr x4, x8, x11, #63 + lsr x8, x12, #31 + uzp1 v20.4s, v0.4s, v0.4s + shl v19.2d, v19.2d, #32 + adc x16, x16, x8 + adds x8, x14, x9, lsl #33 + lsr x14, x9, #31 + lsl x9, x5, #32 + umlal v19.2d, v20.2s, v17.2s + adc x14, x3, x14 + adds x16, x16, x11, lsl #1 + lsr x3, x5, #32 + umulh x12, x6, x17 + adcs x4, x8, x4 + adc x11, x14, x7 + subs x8, x5, x9 + sbc x5, x5, x3 + adds x16, x16, x9 + mov x14, v19.d[0] + mul x17, x6, x17 + adcs x3, x4, x3 + lsl x7, x16, #32 + umulh x13, x13, x10 + adcs x11, x11, x8 + lsr x8, x16, #32 + adc x5, x5, xzr + subs x9, x16, x7 + sbc x16, x16, x8 + adds x7, x3, x7 + mov x3, v19.d[1] + adcs x6, x11, x8 + umulh x11, x1, x10 + adcs x5, x5, x9 + eor x8, x12, x2 + adc x9, x16, xzr + adds x16, x14, x15 + adc x15, x15, xzr + adds x12, x16, x3 + eor x16, x17, x2 + mul x4, x1, x10 + adcs x15, x15, x13 + adc x17, x13, xzr + adds x15, x15, x3 + adc x3, x17, xzr + cmn x2, #0x1 + mul x17, x10, x10 + adcs x12, x12, x16 + adcs x16, x15, x8 + umulh x10, x10, x10 + adc x2, x3, x2 + adds x14, x14, x14 + adcs x12, x12, x12 + adcs x16, x16, x16 + adcs x2, x2, x2 + adc x15, xzr, xzr + adds x14, x14, x7 + mul x3, x1, x1 + adcs x12, x12, x6 + lsr x7, x14, #32 + adcs x16, x16, x5 + lsl x5, x14, #32 + umulh x13, x1, x1 + adcs x2, x2, x9 + mov x6, #0xffffffff // #4294967295 + adc x15, x15, xzr + adds x8, x4, x4 + adcs x1, x11, x11 + mov x11, #0xffffffff00000001 // #-4294967295 + adc x4, xzr, xzr + subs x9, x14, x5 + sbc x14, x14, x7 + adds x12, x12, x5 + adcs x16, x16, x7 + lsl x5, x12, #32 + lsr x7, x12, #32 + adcs x2, x2, x9 + adcs x14, x15, x14 + adc x15, xzr, xzr + subs x9, x12, x5 + sbc x12, x12, x7 + adds x16, x16, x5 + adcs x2, x2, x7 + adcs x14, x14, x9 + adcs x12, x15, x12 + adc x15, xzr, xzr + adds x16, x16, x3 + adcs x2, x2, x13 + adcs x14, x14, x17 + adcs x12, x12, x10 + adc x15, x15, xzr + adds x2, x2, x8 + adcs x14, x14, x1 + adcs x12, x12, x4 + adcs x15, x15, xzr + adds x3, x16, #0x1 + sbcs x5, x2, x6 + sbcs x8, x14, xzr + sbcs x11, x12, x11 + sbcs xzr, x15, xzr + csel x24, x3, x16, cs // cs = hs, nlast + csel x25, x8, x14, cs // cs = hs, nlast + csel x26, x11, x12, cs // cs = hs, nlast + csel x27, x5, x2, cs // cs = hs, nlast + stp x25, x26, [x0, #16] + stp x24, x27, [x0] + ldr q20, [sp, #96] + ldr q0, [sp, #160] + ldp x6, x10, [sp, #96] + rev64 v16.4s, v20.4s + subs x4, x20, x21 + csetm x3, cc // cc = lo, ul, last + cneg x13, x4, cc // cc = lo, ul, last + mul v16.4s, v16.4s, v0.4s + umulh x12, x21, x10 + uzp1 v28.4s, v20.4s, v0.4s + subs x14, x22, x20 + ldr q20, [sp, #112] + sbcs x5, x23, x21 + ngc x17, xzr + subs x8, x22, x23 + uaddlp v27.2d, v16.4s + umulh x4, x20, x6 + uzp1 v21.4s, v0.4s, v0.4s + cneg x11, x8, cc // cc = lo, ul, last + shl v17.2d, v27.2d, #32 + csetm x15, cc // cc = lo, ul, last + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2d, v21.2s, v28.2s + cneg x8, x9, cc // cc = lo, ul, last + cinv x9, x3, cc // cc = lo, ul, last + cmn x17, #0x1 + ldr q28, [sp, #176] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2s, v20.2d + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4s, v20.4s, v20.4s + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2s, v28.2d + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [sp, #112] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc // cc = lo, ul, last + cneg x6, x6, cc // cc = lo, ul, last + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x20, x3, x13 + adcs x21, x8, x7 + umulh x8, x14, x11 + umull v21.2d, v0.2s, v1.2s + adcs x22, x10, x12 + umull v3.2d, v0.2s, v16.2s + adc x23, x15, xzr + rev64 v24.4s, v20.4s + movi v2.2d, #0xffffffff + mul x10, x14, x11 + mul v4.4s, v24.4s, v28.4s + subs x13, x14, x5 + uzp2 v19.4s, v28.4s, v28.4s + csetm x15, cc // cc = lo, ul, last + usra v3.2d, v21.2d, #32 + mul x7, x5, x1 + umull v21.2d, v19.2s, v16.2s + cneg x13, x13, cc // cc = lo, ul, last + uaddlp v5.2d, v4.4s + subs x11, x1, x11 + and v16.16b, v3.16b, v2.16b + umulh x5, x5, x1 + shl v24.2d, v5.2d, #32 + cneg x11, x11, cc // cc = lo, ul, last + umlal v16.2d, v19.2s, v1.2s + cinv x12, x15, cc // cc = lo, ul, last + umlal v24.2d, v0.2s, v1.2s + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + usra v21.2d, v3.2d, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2d, v16.2d, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x20 + adcs x15, x16, x21 + eor x5, x17, x4 + adcs x9, x1, x22 + eor x1, x10, x5 + adcs x16, x2, x23 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff // #4294967295 + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 // #-4294967295 + adds x14, x11, x13 + and x1, x1, x13 + adcs x15, x4, x1 + and x1, x12, x13 + stp x14, x15, [sp, #96] + adcs x13, x7, xzr + adc x20, x17, x1 + stp x13, x20, [sp, #112] + ldp x5, x6, [sp, #64] + ldp x4, x3, [sp, #32] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #80] + ldp x4, x3, [sp, #48] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc // cc = lo, ul, last + adds x5, x5, x3 + and x4, x3, #0xffffffff + adcs x6, x6, x4 + adcs x7, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x8, x8, x4 + stp x5, x6, [x19, #64] + stp x7, x8, [x19, #80] + ldp x1, x2, [sp, #128] + lsl x0, x1, #2 + ldp x6, x7, [sp, #160] + subs x0, x0, x6 + extr x1, x2, x1, #62 + sbcs x1, x1, x7 + ldp x3, x4, [sp, #144] + extr x2, x3, x2, #62 + ldp x6, x7, [sp, #176] + sbcs x2, x2, x6 + extr x3, x4, x3, #62 + sbcs x3, x3, x7 + lsr x4, x4, #62 + sbc x4, x4, xzr + add x5, x4, #0x1 + lsl x8, x5, #32 + negs x6, x8 + ngcs x7, xzr + sbc x8, x8, x5 + adds x0, x0, x5 + adcs x1, x1, x6 + adcs x2, x2, x7 + adcs x3, x3, x8 + csetm x5, cc // cc = lo, ul, last + adds x0, x0, x5 + and x6, x5, #0xffffffff + adcs x1, x1, x6 + adcs x2, x2, xzr + neg x7, x6 + adc x3, x3, x7 + stp x0, x1, [x19] + stp x2, x3, [x19, #16] + mov x2, #0xffffffffffffffff // #-1 + subs x9, x2, x24 + mov x2, #0xffffffff // #4294967295 + sbcs x10, x2, x27 + ngcs x11, x25 + mov x2, #0xffffffff00000001 // #-4294967295 + sbc x12, x2, x26 + lsl x3, x9, #3 + extr x4, x10, x9, #61 + extr x5, x11, x10, #61 + extr x6, x12, x11, #61 + lsr x7, x12, #61 + mov x1, #0x3 // #3 + mul x8, x14, x1 + umulh x9, x14, x1 + adds x3, x3, x8 + mul x8, x15, x1 + umulh x10, x15, x1 + adcs x4, x4, x8 + mul x8, x13, x1 + umulh x11, x13, x1 + adcs x5, x5, x8 + mul x8, x20, x1 + umulh x12, x20, x1 + adcs x6, x6, x8 + adc x7, x7, xzr + adds x4, x4, x9 + adcs x5, x5, x10 + adcs x6, x6, x11 + adc x7, x7, x12 + add x8, x7, #0x1 + lsl x10, x8, #32 + adds x6, x6, x10 + adc x7, x7, xzr + neg x9, x8 + sub x10, x10, #0x1 + subs x3, x3, x9 + sbcs x4, x4, x10 + sbcs x5, x5, xzr + sbcs x6, x6, x8 + sbc x8, x7, x8 + adds x3, x3, x8 + and x9, x8, #0xffffffff + adcs x4, x4, x9 + adcs x5, x5, xzr + neg x10, x9 + adc x6, x6, x10 + stp x3, x4, [x19, #32] + stp x5, x6, [x19, #48] + ldp x27, xzr, [sp, #256] + ldp x25, x26, [sp, #240] + ldp x23, x24, [sp, #224] + ldp x21, x22, [sp, #208] + ldp x19, x20, [sp, #192] + CFI_INC_SP(272) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmul_local_p256_montjdouble) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmul_local_p256_montjmixadd) + +Lp256_scalarmul_local_p256_montjmixadd: + CFI_START + CFI_PUSH2(x19,x20) + CFI_DEC_SP(192) + mov x17, x0 + mov x19, x1 + mov x20, x2 + ldp x2, x3, [x19, #64] + ldp x4, x5, [x19, #80] + umull x15, w2, w2 + lsr x11, x2, #32 + umull x16, w11, w11 + umull x11, w2, w11 + adds x15, x15, x11, lsl #33 + lsr x11, x11, #31 + adc x16, x16, x11 + umull x0, w3, w3 + lsr x11, x3, #32 + umull x1, w11, w11 + umull x11, w3, w11 + mul x12, x2, x3 + umulh x13, x2, x3 + adds x0, x0, x11, lsl #33 + lsr x11, x11, #31 + adc x1, x1, x11 + adds x12, x12, x12 + adcs x13, x13, x13 + adc x1, x1, xzr + adds x16, x16, x12 + adcs x0, x0, x13 + adc x1, x1, xzr + lsl x12, x15, #32 + subs x13, x15, x12 + lsr x11, x15, #32 + sbc x15, x15, x11 + adds x16, x16, x12 + adcs x0, x0, x11 + adcs x1, x1, x13 + adc x15, x15, xzr + lsl x12, x16, #32 + subs x13, x16, x12 + lsr x11, x16, #32 + sbc x16, x16, x11 + adds x0, x0, x12 + adcs x1, x1, x11 + adcs x15, x15, x13 + adc x16, x16, xzr + mul x6, x2, x4 + mul x14, x3, x5 + umulh x8, x2, x4 + subs x10, x2, x3 + cneg x10, x10, cc + csetm x13, cc + subs x12, x5, x4 + cneg x12, x12, cc + mul x11, x10, x12 + umulh x12, x10, x12 + cinv x13, x13, cc + eor x11, x11, x13 + eor x12, x12, x13 + adds x7, x6, x8 + adc x8, x8, xzr + umulh x9, x3, x5 + adds x7, x7, x14 + adcs x8, x8, x9 + adc x9, x9, xzr + adds x8, x8, x14 + adc x9, x9, xzr + cmn x13, #0x1 + adcs x7, x7, x11 + adcs x8, x8, x12 + adc x9, x9, x13 + adds x6, x6, x6 + adcs x7, x7, x7 + adcs x8, x8, x8 + adcs x9, x9, x9 + adc x10, xzr, xzr + adds x6, x6, x0 + adcs x7, x7, x1 + adcs x8, x8, x15 + adcs x9, x9, x16 + adc x10, x10, xzr + lsl x12, x6, #32 + subs x13, x6, x12 + lsr x11, x6, #32 + sbc x6, x6, x11 + adds x7, x7, x12 + adcs x8, x8, x11 + adcs x9, x9, x13 + adcs x10, x10, x6 + adc x6, xzr, xzr + lsl x12, x7, #32 + subs x13, x7, x12 + lsr x11, x7, #32 + sbc x7, x7, x11 + adds x8, x8, x12 + adcs x9, x9, x11 + adcs x10, x10, x13 + adcs x6, x6, x7 + adc x7, xzr, xzr + mul x11, x4, x4 + adds x8, x8, x11 + mul x12, x5, x5 + umulh x11, x4, x4 + adcs x9, x9, x11 + adcs x10, x10, x12 + umulh x12, x5, x5 + adcs x6, x6, x12 + adc x7, x7, xzr + mul x11, x4, x5 + umulh x12, x4, x5 + adds x11, x11, x11 + adcs x12, x12, x12 + adc x13, xzr, xzr + adds x9, x9, x11 + adcs x10, x10, x12 + adcs x6, x6, x13 + adcs x7, x7, xzr + mov x11, #0xffffffff + adds x5, x8, #0x1 + sbcs x11, x9, x11 + mov x13, #0xffffffff00000001 + sbcs x12, x10, xzr + sbcs x13, x6, x13 + sbcs xzr, x7, xzr + csel x8, x5, x8, cs + csel x9, x11, x9, cs + csel x10, x12, x10, cs + csel x6, x13, x6, cs + stp x8, x9, [sp] + stp x10, x6, [sp, #16] + ldp x3, x4, [x19, #64] + ldp x5, x6, [x19, #80] + ldp x7, x8, [x20, #32] + ldp x9, x10, [x20, #48] + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x3, x4 + cneg x15, x15, cc + csetm x1, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + stp x13, x14, [sp, #32] + stp x11, x12, [sp, #48] + mul x11, x5, x9 + mul x13, x6, x10 + umulh x12, x5, x9 + adds x16, x11, x13 + umulh x14, x6, x10 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x5, x6 + cneg x15, x15, cc + csetm x1, cc + subs x0, x10, x9 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + subs x3, x5, x3 + sbcs x4, x6, x4 + ngc x5, xzr + cmn x5, #0x1 + eor x3, x3, x5 + adcs x3, x3, xzr + eor x4, x4, x5 + adcs x4, x4, xzr + subs x7, x7, x9 + sbcs x8, x8, x10 + ngc x9, xzr + cmn x9, #0x1 + eor x7, x7, x9 + adcs x7, x7, xzr + eor x8, x8, x9 + adcs x8, x8, xzr + eor x10, x5, x9 + ldp x15, x1, [sp, #32] + adds x15, x11, x15 + adcs x1, x12, x1 + ldp x5, x9, [sp, #48] + adcs x5, x13, x5 + adcs x9, x14, x9 + adc x2, xzr, xzr + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x3, x3, x4 + cneg x3, x3, cc + csetm x4, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x3, x0 + umulh x0, x3, x0 + cinv x4, x4, cc + eor x16, x16, x4 + eor x0, x0, x4 + cmn x4, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x4 + cmn x10, #0x1 + eor x11, x11, x10 + adcs x11, x11, x15 + eor x12, x12, x10 + adcs x12, x12, x1 + eor x13, x13, x10 + adcs x13, x13, x5 + eor x14, x14, x10 + adcs x14, x14, x9 + adcs x3, x2, x10 + adcs x4, x10, xzr + adc x10, x10, xzr + adds x13, x13, x15 + adcs x14, x14, x1 + adcs x3, x3, x5 + adcs x4, x4, x9 + adc x10, x10, x2 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + adds x3, x3, x11 + adcs x4, x4, x12 + adc x10, x10, xzr + add x2, x10, #0x1 + lsl x16, x2, #32 + adds x4, x4, x16 + adc x10, x10, xzr + neg x15, x2 + sub x16, x16, #0x1 + subs x13, x13, x15 + sbcs x14, x14, x16 + sbcs x3, x3, xzr + sbcs x4, x4, x2 + sbcs x7, x10, x2 + adds x13, x13, x7 + mov x10, #0xffffffff + and x10, x10, x7 + adcs x14, x14, x10 + adcs x3, x3, xzr + mov x10, #0xffffffff00000001 + and x10, x10, x7 + adc x4, x4, x10 + stp x13, x14, [sp, #32] + stp x3, x4, [sp, #48] + ldp x3, x4, [sp] + ldp x5, x6, [sp, #16] + ldp x7, x8, [x20] + ldp x9, x10, [x20, #16] + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x3, x4 + cneg x15, x15, cc + csetm x1, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + stp x13, x14, [sp, #64] + stp x11, x12, [sp, #80] + mul x11, x5, x9 + mul x13, x6, x10 + umulh x12, x5, x9 + adds x16, x11, x13 + umulh x14, x6, x10 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x5, x6 + cneg x15, x15, cc + csetm x1, cc + subs x0, x10, x9 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + subs x3, x5, x3 + sbcs x4, x6, x4 + ngc x5, xzr + cmn x5, #0x1 + eor x3, x3, x5 + adcs x3, x3, xzr + eor x4, x4, x5 + adcs x4, x4, xzr + subs x7, x7, x9 + sbcs x8, x8, x10 + ngc x9, xzr + cmn x9, #0x1 + eor x7, x7, x9 + adcs x7, x7, xzr + eor x8, x8, x9 + adcs x8, x8, xzr + eor x10, x5, x9 + ldp x15, x1, [sp, #64] + adds x15, x11, x15 + adcs x1, x12, x1 + ldp x5, x9, [sp, #80] + adcs x5, x13, x5 + adcs x9, x14, x9 + adc x2, xzr, xzr + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x3, x3, x4 + cneg x3, x3, cc + csetm x4, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x3, x0 + umulh x0, x3, x0 + cinv x4, x4, cc + eor x16, x16, x4 + eor x0, x0, x4 + cmn x4, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x4 + cmn x10, #0x1 + eor x11, x11, x10 + adcs x11, x11, x15 + eor x12, x12, x10 + adcs x12, x12, x1 + eor x13, x13, x10 + adcs x13, x13, x5 + eor x14, x14, x10 + adcs x14, x14, x9 + adcs x3, x2, x10 + adcs x4, x10, xzr + adc x10, x10, xzr + adds x13, x13, x15 + adcs x14, x14, x1 + adcs x3, x3, x5 + adcs x4, x4, x9 + adc x10, x10, x2 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + adds x3, x3, x11 + adcs x4, x4, x12 + adc x10, x10, xzr + add x2, x10, #0x1 + lsl x16, x2, #32 + adds x4, x4, x16 + adc x10, x10, xzr + neg x15, x2 + sub x16, x16, #0x1 + subs x13, x13, x15 + sbcs x14, x14, x16 + sbcs x3, x3, xzr + sbcs x4, x4, x2 + sbcs x7, x10, x2 + adds x13, x13, x7 + mov x10, #0xffffffff + and x10, x10, x7 + adcs x14, x14, x10 + adcs x3, x3, xzr + mov x10, #0xffffffff00000001 + and x10, x10, x7 + adc x4, x4, x10 + stp x13, x14, [sp, #64] + stp x3, x4, [sp, #80] + ldp x3, x4, [sp] + ldp x5, x6, [sp, #16] + ldp x7, x8, [sp, #32] + ldp x9, x10, [sp, #48] + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x3, x4 + cneg x15, x15, cc + csetm x1, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + stp x13, x14, [sp, #32] + stp x11, x12, [sp, #48] + mul x11, x5, x9 + mul x13, x6, x10 + umulh x12, x5, x9 + adds x16, x11, x13 + umulh x14, x6, x10 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x5, x6 + cneg x15, x15, cc + csetm x1, cc + subs x0, x10, x9 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + subs x3, x5, x3 + sbcs x4, x6, x4 + ngc x5, xzr + cmn x5, #0x1 + eor x3, x3, x5 + adcs x3, x3, xzr + eor x4, x4, x5 + adcs x4, x4, xzr + subs x7, x7, x9 + sbcs x8, x8, x10 + ngc x9, xzr + cmn x9, #0x1 + eor x7, x7, x9 + adcs x7, x7, xzr + eor x8, x8, x9 + adcs x8, x8, xzr + eor x10, x5, x9 + ldp x15, x1, [sp, #32] + adds x15, x11, x15 + adcs x1, x12, x1 + ldp x5, x9, [sp, #48] + adcs x5, x13, x5 + adcs x9, x14, x9 + adc x2, xzr, xzr + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x3, x3, x4 + cneg x3, x3, cc + csetm x4, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x3, x0 + umulh x0, x3, x0 + cinv x4, x4, cc + eor x16, x16, x4 + eor x0, x0, x4 + cmn x4, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x4 + cmn x10, #0x1 + eor x11, x11, x10 + adcs x11, x11, x15 + eor x12, x12, x10 + adcs x12, x12, x1 + eor x13, x13, x10 + adcs x13, x13, x5 + eor x14, x14, x10 + adcs x14, x14, x9 + adcs x3, x2, x10 + adcs x4, x10, xzr + adc x10, x10, xzr + adds x13, x13, x15 + adcs x14, x14, x1 + adcs x3, x3, x5 + adcs x4, x4, x9 + adc x10, x10, x2 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + adds x3, x3, x11 + adcs x4, x4, x12 + adc x10, x10, xzr + add x2, x10, #0x1 + lsl x16, x2, #32 + adds x4, x4, x16 + adc x10, x10, xzr + neg x15, x2 + sub x16, x16, #0x1 + subs x13, x13, x15 + sbcs x14, x14, x16 + sbcs x3, x3, xzr + sbcs x4, x4, x2 + sbcs x7, x10, x2 + adds x13, x13, x7 + mov x10, #0xffffffff + and x10, x10, x7 + adcs x14, x14, x10 + adcs x3, x3, xzr + mov x10, #0xffffffff00000001 + and x10, x10, x7 + adc x4, x4, x10 + stp x13, x14, [sp, #32] + stp x3, x4, [sp, #48] + ldp x5, x6, [sp, #64] + ldp x4, x3, [x19] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #80] + ldp x4, x3, [x19, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #160] + stp x7, x8, [sp, #176] + ldp x5, x6, [sp, #32] + ldp x4, x3, [x19, #32] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #48] + ldp x4, x3, [x19, #48] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #32] + stp x7, x8, [sp, #48] + ldp x2, x3, [sp, #160] + ldp x4, x5, [sp, #176] + umull x15, w2, w2 + lsr x11, x2, #32 + umull x16, w11, w11 + umull x11, w2, w11 + adds x15, x15, x11, lsl #33 + lsr x11, x11, #31 + adc x16, x16, x11 + umull x0, w3, w3 + lsr x11, x3, #32 + umull x1, w11, w11 + umull x11, w3, w11 + mul x12, x2, x3 + umulh x13, x2, x3 + adds x0, x0, x11, lsl #33 + lsr x11, x11, #31 + adc x1, x1, x11 + adds x12, x12, x12 + adcs x13, x13, x13 + adc x1, x1, xzr + adds x16, x16, x12 + adcs x0, x0, x13 + adc x1, x1, xzr + lsl x12, x15, #32 + subs x13, x15, x12 + lsr x11, x15, #32 + sbc x15, x15, x11 + adds x16, x16, x12 + adcs x0, x0, x11 + adcs x1, x1, x13 + adc x15, x15, xzr + lsl x12, x16, #32 + subs x13, x16, x12 + lsr x11, x16, #32 + sbc x16, x16, x11 + adds x0, x0, x12 + adcs x1, x1, x11 + adcs x15, x15, x13 + adc x16, x16, xzr + mul x6, x2, x4 + mul x14, x3, x5 + umulh x8, x2, x4 + subs x10, x2, x3 + cneg x10, x10, cc + csetm x13, cc + subs x12, x5, x4 + cneg x12, x12, cc + mul x11, x10, x12 + umulh x12, x10, x12 + cinv x13, x13, cc + eor x11, x11, x13 + eor x12, x12, x13 + adds x7, x6, x8 + adc x8, x8, xzr + umulh x9, x3, x5 + adds x7, x7, x14 + adcs x8, x8, x9 + adc x9, x9, xzr + adds x8, x8, x14 + adc x9, x9, xzr + cmn x13, #0x1 + adcs x7, x7, x11 + adcs x8, x8, x12 + adc x9, x9, x13 + adds x6, x6, x6 + adcs x7, x7, x7 + adcs x8, x8, x8 + adcs x9, x9, x9 + adc x10, xzr, xzr + adds x6, x6, x0 + adcs x7, x7, x1 + adcs x8, x8, x15 + adcs x9, x9, x16 + adc x10, x10, xzr + lsl x12, x6, #32 + subs x13, x6, x12 + lsr x11, x6, #32 + sbc x6, x6, x11 + adds x7, x7, x12 + adcs x8, x8, x11 + adcs x9, x9, x13 + adcs x10, x10, x6 + adc x6, xzr, xzr + lsl x12, x7, #32 + subs x13, x7, x12 + lsr x11, x7, #32 + sbc x7, x7, x11 + adds x8, x8, x12 + adcs x9, x9, x11 + adcs x10, x10, x13 + adcs x6, x6, x7 + adc x7, xzr, xzr + mul x11, x4, x4 + adds x8, x8, x11 + mul x12, x5, x5 + umulh x11, x4, x4 + adcs x9, x9, x11 + adcs x10, x10, x12 + umulh x12, x5, x5 + adcs x6, x6, x12 + adc x7, x7, xzr + mul x11, x4, x5 + umulh x12, x4, x5 + adds x11, x11, x11 + adcs x12, x12, x12 + adc x13, xzr, xzr + adds x9, x9, x11 + adcs x10, x10, x12 + adcs x6, x6, x13 + adcs x7, x7, xzr + mov x11, #0xffffffff + adds x5, x8, #0x1 + sbcs x11, x9, x11 + mov x13, #0xffffffff00000001 + sbcs x12, x10, xzr + sbcs x13, x6, x13 + sbcs xzr, x7, xzr + csel x8, x5, x8, cs + csel x9, x11, x9, cs + csel x10, x12, x10, cs + csel x6, x13, x6, cs + stp x8, x9, [sp, #96] + stp x10, x6, [sp, #112] + ldp x2, x3, [sp, #32] + ldp x4, x5, [sp, #48] + umull x15, w2, w2 + lsr x11, x2, #32 + umull x16, w11, w11 + umull x11, w2, w11 + adds x15, x15, x11, lsl #33 + lsr x11, x11, #31 + adc x16, x16, x11 + umull x0, w3, w3 + lsr x11, x3, #32 + umull x1, w11, w11 + umull x11, w3, w11 + mul x12, x2, x3 + umulh x13, x2, x3 + adds x0, x0, x11, lsl #33 + lsr x11, x11, #31 + adc x1, x1, x11 + adds x12, x12, x12 + adcs x13, x13, x13 + adc x1, x1, xzr + adds x16, x16, x12 + adcs x0, x0, x13 + adc x1, x1, xzr + lsl x12, x15, #32 + subs x13, x15, x12 + lsr x11, x15, #32 + sbc x15, x15, x11 + adds x16, x16, x12 + adcs x0, x0, x11 + adcs x1, x1, x13 + adc x15, x15, xzr + lsl x12, x16, #32 + subs x13, x16, x12 + lsr x11, x16, #32 + sbc x16, x16, x11 + adds x0, x0, x12 + adcs x1, x1, x11 + adcs x15, x15, x13 + adc x16, x16, xzr + mul x6, x2, x4 + mul x14, x3, x5 + umulh x8, x2, x4 + subs x10, x2, x3 + cneg x10, x10, cc + csetm x13, cc + subs x12, x5, x4 + cneg x12, x12, cc + mul x11, x10, x12 + umulh x12, x10, x12 + cinv x13, x13, cc + eor x11, x11, x13 + eor x12, x12, x13 + adds x7, x6, x8 + adc x8, x8, xzr + umulh x9, x3, x5 + adds x7, x7, x14 + adcs x8, x8, x9 + adc x9, x9, xzr + adds x8, x8, x14 + adc x9, x9, xzr + cmn x13, #0x1 + adcs x7, x7, x11 + adcs x8, x8, x12 + adc x9, x9, x13 + adds x6, x6, x6 + adcs x7, x7, x7 + adcs x8, x8, x8 + adcs x9, x9, x9 + adc x10, xzr, xzr + adds x6, x6, x0 + adcs x7, x7, x1 + adcs x8, x8, x15 + adcs x9, x9, x16 + adc x10, x10, xzr + lsl x12, x6, #32 + subs x13, x6, x12 + lsr x11, x6, #32 + sbc x6, x6, x11 + adds x7, x7, x12 + adcs x8, x8, x11 + adcs x9, x9, x13 + adcs x10, x10, x6 + adc x6, xzr, xzr + lsl x12, x7, #32 + subs x13, x7, x12 + lsr x11, x7, #32 + sbc x7, x7, x11 + adds x8, x8, x12 + adcs x9, x9, x11 + adcs x10, x10, x13 + adcs x6, x6, x7 + adc x7, xzr, xzr + mul x11, x4, x4 + adds x8, x8, x11 + mul x12, x5, x5 + umulh x11, x4, x4 + adcs x9, x9, x11 + adcs x10, x10, x12 + umulh x12, x5, x5 + adcs x6, x6, x12 + adc x7, x7, xzr + mul x11, x4, x5 + umulh x12, x4, x5 + adds x11, x11, x11 + adcs x12, x12, x12 + adc x13, xzr, xzr + adds x9, x9, x11 + adcs x10, x10, x12 + adcs x6, x6, x13 + adcs x7, x7, xzr + mov x11, #0xffffffff + adds x5, x8, #0x1 + sbcs x11, x9, x11 + mov x13, #0xffffffff00000001 + sbcs x12, x10, xzr + sbcs x13, x6, x13 + sbcs xzr, x7, xzr + csel x8, x5, x8, cs + csel x9, x11, x9, cs + csel x10, x12, x10, cs + csel x6, x13, x6, cs + stp x8, x9, [sp] + stp x10, x6, [sp, #16] + ldp x3, x4, [sp, #96] + ldp x5, x6, [sp, #112] + ldp x7, x8, [x19] + ldp x9, x10, [x19, #16] + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x3, x4 + cneg x15, x15, cc + csetm x1, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + stp x13, x14, [sp, #128] + stp x11, x12, [sp, #144] + mul x11, x5, x9 + mul x13, x6, x10 + umulh x12, x5, x9 + adds x16, x11, x13 + umulh x14, x6, x10 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x5, x6 + cneg x15, x15, cc + csetm x1, cc + subs x0, x10, x9 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + subs x3, x5, x3 + sbcs x4, x6, x4 + ngc x5, xzr + cmn x5, #0x1 + eor x3, x3, x5 + adcs x3, x3, xzr + eor x4, x4, x5 + adcs x4, x4, xzr + subs x7, x7, x9 + sbcs x8, x8, x10 + ngc x9, xzr + cmn x9, #0x1 + eor x7, x7, x9 + adcs x7, x7, xzr + eor x8, x8, x9 + adcs x8, x8, xzr + eor x10, x5, x9 + ldp x15, x1, [sp, #128] + adds x15, x11, x15 + adcs x1, x12, x1 + ldp x5, x9, [sp, #144] + adcs x5, x13, x5 + adcs x9, x14, x9 + adc x2, xzr, xzr + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x3, x3, x4 + cneg x3, x3, cc + csetm x4, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x3, x0 + umulh x0, x3, x0 + cinv x4, x4, cc + eor x16, x16, x4 + eor x0, x0, x4 + cmn x4, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x4 + cmn x10, #0x1 + eor x11, x11, x10 + adcs x11, x11, x15 + eor x12, x12, x10 + adcs x12, x12, x1 + eor x13, x13, x10 + adcs x13, x13, x5 + eor x14, x14, x10 + adcs x14, x14, x9 + adcs x3, x2, x10 + adcs x4, x10, xzr + adc x10, x10, xzr + adds x13, x13, x15 + adcs x14, x14, x1 + adcs x3, x3, x5 + adcs x4, x4, x9 + adc x10, x10, x2 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + adds x3, x3, x11 + adcs x4, x4, x12 + adc x10, x10, xzr + add x2, x10, #0x1 + lsl x16, x2, #32 + adds x4, x4, x16 + adc x10, x10, xzr + neg x15, x2 + sub x16, x16, #0x1 + subs x13, x13, x15 + sbcs x14, x14, x16 + sbcs x3, x3, xzr + sbcs x4, x4, x2 + sbcs x7, x10, x2 + adds x13, x13, x7 + mov x10, #0xffffffff + and x10, x10, x7 + adcs x14, x14, x10 + adcs x3, x3, xzr + mov x10, #0xffffffff00000001 + and x10, x10, x7 + adc x4, x4, x10 + stp x13, x14, [sp, #128] + stp x3, x4, [sp, #144] + ldp x3, x4, [sp, #96] + ldp x5, x6, [sp, #112] + ldp x7, x8, [sp, #64] + ldp x9, x10, [sp, #80] + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x3, x4 + cneg x15, x15, cc + csetm x1, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + stp x13, x14, [sp, #64] + stp x11, x12, [sp, #80] + mul x11, x5, x9 + mul x13, x6, x10 + umulh x12, x5, x9 + adds x16, x11, x13 + umulh x14, x6, x10 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x5, x6 + cneg x15, x15, cc + csetm x1, cc + subs x0, x10, x9 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + subs x3, x5, x3 + sbcs x4, x6, x4 + ngc x5, xzr + cmn x5, #0x1 + eor x3, x3, x5 + adcs x3, x3, xzr + eor x4, x4, x5 + adcs x4, x4, xzr + subs x7, x7, x9 + sbcs x8, x8, x10 + ngc x9, xzr + cmn x9, #0x1 + eor x7, x7, x9 + adcs x7, x7, xzr + eor x8, x8, x9 + adcs x8, x8, xzr + eor x10, x5, x9 + ldp x15, x1, [sp, #64] + adds x15, x11, x15 + adcs x1, x12, x1 + ldp x5, x9, [sp, #80] + adcs x5, x13, x5 + adcs x9, x14, x9 + adc x2, xzr, xzr + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x3, x3, x4 + cneg x3, x3, cc + csetm x4, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x3, x0 + umulh x0, x3, x0 + cinv x4, x4, cc + eor x16, x16, x4 + eor x0, x0, x4 + cmn x4, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x4 + cmn x10, #0x1 + eor x11, x11, x10 + adcs x11, x11, x15 + eor x12, x12, x10 + adcs x12, x12, x1 + eor x13, x13, x10 + adcs x13, x13, x5 + eor x14, x14, x10 + adcs x14, x14, x9 + adcs x3, x2, x10 + adcs x4, x10, xzr + adc x10, x10, xzr + adds x13, x13, x15 + adcs x14, x14, x1 + adcs x3, x3, x5 + adcs x4, x4, x9 + adc x10, x10, x2 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + adds x3, x3, x11 + adcs x4, x4, x12 + adc x10, x10, xzr + add x2, x10, #0x1 + lsl x16, x2, #32 + adds x4, x4, x16 + adc x10, x10, xzr + neg x15, x2 + sub x16, x16, #0x1 + subs x13, x13, x15 + sbcs x14, x14, x16 + sbcs x3, x3, xzr + sbcs x4, x4, x2 + sbcs x7, x10, x2 + adds x13, x13, x7 + mov x10, #0xffffffff + and x10, x10, x7 + adcs x14, x14, x10 + adcs x3, x3, xzr + mov x10, #0xffffffff00000001 + and x10, x10, x7 + adc x4, x4, x10 + stp x13, x14, [sp, #64] + stp x3, x4, [sp, #80] + ldp x5, x6, [sp] + ldp x4, x3, [sp, #128] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #16] + ldp x4, x3, [sp, #144] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp] + stp x7, x8, [sp, #16] + ldp x5, x6, [sp, #64] + ldp x4, x3, [sp, #128] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #80] + ldp x4, x3, [sp, #144] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #96] + stp x7, x8, [sp, #112] + ldp x3, x4, [sp, #160] + ldp x5, x6, [sp, #176] + ldp x7, x8, [x19, #64] + ldp x9, x10, [x19, #80] + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x3, x4 + cneg x15, x15, cc + csetm x1, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + stp x13, x14, [sp, #160] + stp x11, x12, [sp, #176] + mul x11, x5, x9 + mul x13, x6, x10 + umulh x12, x5, x9 + adds x16, x11, x13 + umulh x14, x6, x10 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x5, x6 + cneg x15, x15, cc + csetm x1, cc + subs x0, x10, x9 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + subs x3, x5, x3 + sbcs x4, x6, x4 + ngc x5, xzr + cmn x5, #0x1 + eor x3, x3, x5 + adcs x3, x3, xzr + eor x4, x4, x5 + adcs x4, x4, xzr + subs x7, x7, x9 + sbcs x8, x8, x10 + ngc x9, xzr + cmn x9, #0x1 + eor x7, x7, x9 + adcs x7, x7, xzr + eor x8, x8, x9 + adcs x8, x8, xzr + eor x10, x5, x9 + ldp x15, x1, [sp, #160] + adds x15, x11, x15 + adcs x1, x12, x1 + ldp x5, x9, [sp, #176] + adcs x5, x13, x5 + adcs x9, x14, x9 + adc x2, xzr, xzr + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x3, x3, x4 + cneg x3, x3, cc + csetm x4, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x3, x0 + umulh x0, x3, x0 + cinv x4, x4, cc + eor x16, x16, x4 + eor x0, x0, x4 + cmn x4, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x4 + cmn x10, #0x1 + eor x11, x11, x10 + adcs x11, x11, x15 + eor x12, x12, x10 + adcs x12, x12, x1 + eor x13, x13, x10 + adcs x13, x13, x5 + eor x14, x14, x10 + adcs x14, x14, x9 + adcs x3, x2, x10 + adcs x4, x10, xzr + adc x10, x10, xzr + adds x13, x13, x15 + adcs x14, x14, x1 + adcs x3, x3, x5 + adcs x4, x4, x9 + adc x10, x10, x2 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + adds x3, x3, x11 + adcs x4, x4, x12 + adc x10, x10, xzr + add x2, x10, #0x1 + lsl x16, x2, #32 + adds x4, x4, x16 + adc x10, x10, xzr + neg x15, x2 + sub x16, x16, #0x1 + subs x13, x13, x15 + sbcs x14, x14, x16 + sbcs x3, x3, xzr + sbcs x4, x4, x2 + sbcs x7, x10, x2 + adds x13, x13, x7 + mov x10, #0xffffffff + and x10, x10, x7 + adcs x14, x14, x10 + adcs x3, x3, xzr + mov x10, #0xffffffff00000001 + and x10, x10, x7 + adc x4, x4, x10 + stp x13, x14, [sp, #160] + stp x3, x4, [sp, #176] + ldp x5, x6, [sp] + ldp x4, x3, [sp, #64] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #16] + ldp x4, x3, [sp, #80] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp] + stp x7, x8, [sp, #16] + ldp x5, x6, [sp, #128] + ldp x4, x3, [sp] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #144] + ldp x4, x3, [sp, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #128] + stp x7, x8, [sp, #144] + ldp x3, x4, [sp, #96] + ldp x5, x6, [sp, #112] + ldp x7, x8, [x19, #32] + ldp x9, x10, [x19, #48] + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x3, x4 + cneg x15, x15, cc + csetm x1, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + stp x13, x14, [sp, #96] + stp x11, x12, [sp, #112] + mul x11, x5, x9 + mul x13, x6, x10 + umulh x12, x5, x9 + adds x16, x11, x13 + umulh x14, x6, x10 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x5, x6 + cneg x15, x15, cc + csetm x1, cc + subs x0, x10, x9 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + subs x3, x5, x3 + sbcs x4, x6, x4 + ngc x5, xzr + cmn x5, #0x1 + eor x3, x3, x5 + adcs x3, x3, xzr + eor x4, x4, x5 + adcs x4, x4, xzr + subs x7, x7, x9 + sbcs x8, x8, x10 + ngc x9, xzr + cmn x9, #0x1 + eor x7, x7, x9 + adcs x7, x7, xzr + eor x8, x8, x9 + adcs x8, x8, xzr + eor x10, x5, x9 + ldp x15, x1, [sp, #96] + adds x15, x11, x15 + adcs x1, x12, x1 + ldp x5, x9, [sp, #112] + adcs x5, x13, x5 + adcs x9, x14, x9 + adc x2, xzr, xzr + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x3, x3, x4 + cneg x3, x3, cc + csetm x4, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x3, x0 + umulh x0, x3, x0 + cinv x4, x4, cc + eor x16, x16, x4 + eor x0, x0, x4 + cmn x4, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x4 + cmn x10, #0x1 + eor x11, x11, x10 + adcs x11, x11, x15 + eor x12, x12, x10 + adcs x12, x12, x1 + eor x13, x13, x10 + adcs x13, x13, x5 + eor x14, x14, x10 + adcs x14, x14, x9 + adcs x3, x2, x10 + adcs x4, x10, xzr + adc x10, x10, xzr + adds x13, x13, x15 + adcs x14, x14, x1 + adcs x3, x3, x5 + adcs x4, x4, x9 + adc x10, x10, x2 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + adds x3, x3, x11 + adcs x4, x4, x12 + adc x10, x10, xzr + add x2, x10, #0x1 + lsl x16, x2, #32 + adds x4, x4, x16 + adc x10, x10, xzr + neg x15, x2 + sub x16, x16, #0x1 + subs x13, x13, x15 + sbcs x14, x14, x16 + sbcs x3, x3, xzr + sbcs x4, x4, x2 + sbcs x7, x10, x2 + adds x13, x13, x7 + mov x10, #0xffffffff + and x10, x10, x7 + adcs x14, x14, x10 + adcs x3, x3, xzr + mov x10, #0xffffffff00000001 + and x10, x10, x7 + adc x4, x4, x10 + stp x13, x14, [sp, #96] + stp x3, x4, [sp, #112] + ldp x3, x4, [sp, #32] + ldp x5, x6, [sp, #48] + ldp x7, x8, [sp, #128] + ldp x9, x10, [sp, #144] + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x3, x4 + cneg x15, x15, cc + csetm x1, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + stp x13, x14, [sp, #128] + stp x11, x12, [sp, #144] + mul x11, x5, x9 + mul x13, x6, x10 + umulh x12, x5, x9 + adds x16, x11, x13 + umulh x14, x6, x10 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x5, x6 + cneg x15, x15, cc + csetm x1, cc + subs x0, x10, x9 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + subs x3, x5, x3 + sbcs x4, x6, x4 + ngc x5, xzr + cmn x5, #0x1 + eor x3, x3, x5 + adcs x3, x3, xzr + eor x4, x4, x5 + adcs x4, x4, xzr + subs x7, x7, x9 + sbcs x8, x8, x10 + ngc x9, xzr + cmn x9, #0x1 + eor x7, x7, x9 + adcs x7, x7, xzr + eor x8, x8, x9 + adcs x8, x8, xzr + eor x10, x5, x9 + ldp x15, x1, [sp, #128] + adds x15, x11, x15 + adcs x1, x12, x1 + ldp x5, x9, [sp, #144] + adcs x5, x13, x5 + adcs x9, x14, x9 + adc x2, xzr, xzr + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x3, x3, x4 + cneg x3, x3, cc + csetm x4, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x3, x0 + umulh x0, x3, x0 + cinv x4, x4, cc + eor x16, x16, x4 + eor x0, x0, x4 + cmn x4, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x4 + cmn x10, #0x1 + eor x11, x11, x10 + adcs x11, x11, x15 + eor x12, x12, x10 + adcs x12, x12, x1 + eor x13, x13, x10 + adcs x13, x13, x5 + eor x14, x14, x10 + adcs x14, x14, x9 + adcs x3, x2, x10 + adcs x4, x10, xzr + adc x10, x10, xzr + adds x13, x13, x15 + adcs x14, x14, x1 + adcs x3, x3, x5 + adcs x4, x4, x9 + adc x10, x10, x2 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + adds x3, x3, x11 + adcs x4, x4, x12 + adc x10, x10, xzr + add x2, x10, #0x1 + lsl x16, x2, #32 + adds x4, x4, x16 + adc x10, x10, xzr + neg x15, x2 + sub x16, x16, #0x1 + subs x13, x13, x15 + sbcs x14, x14, x16 + sbcs x3, x3, xzr + sbcs x4, x4, x2 + sbcs x7, x10, x2 + adds x13, x13, x7 + mov x10, #0xffffffff + and x10, x10, x7 + adcs x14, x14, x10 + adcs x3, x3, xzr + mov x10, #0xffffffff00000001 + and x10, x10, x7 + adc x4, x4, x10 + stp x13, x14, [sp, #128] + stp x3, x4, [sp, #144] + ldp x5, x6, [sp, #128] + ldp x4, x3, [sp, #96] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #144] + ldp x4, x3, [sp, #112] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #128] + stp x7, x8, [sp, #144] + ldp x0, x1, [x19, #64] + ldp x2, x3, [x19, #80] + orr x4, x0, x1 + orr x5, x2, x3 + orr x4, x4, x5 + cmp x4, xzr + ldp x0, x1, [sp] + ldp x12, x13, [x20] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x2, x3, [sp, #16] + ldp x12, x13, [x20, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x4, x5, [sp, #128] + ldp x12, x13, [x20, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x6, x7, [sp, #144] + ldp x12, x13, [x20, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x8, x9, [sp, #160] + mov x12, #0x1 + mov x13, #0xffffffff00000000 + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x10, x11, [sp, #176] + mov x12, #0xffffffffffffffff + mov x13, #0xfffffffe + csel x10, x10, x12, ne + csel x11, x11, x13, ne + stp x0, x1, [x17] + stp x2, x3, [x17, #16] + stp x4, x5, [x17, #32] + stp x6, x7, [x17, #48] + stp x8, x9, [x17, #64] + stp x10, x11, [x17, #80] + CFI_INC_SP(192) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmul_local_p256_montjmixadd) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/arm/p256_scalarmul_alt.S b/cbits/s2n/arm/p256_scalarmul_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/p256_scalarmul_alt.S @@ -0,0 +1,6235 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Scalar multiplication for P-256 +// Input scalar[4], point[8]; output res[8] +// +// extern void p256_scalarmul_alt +// (uint64_t res[static 8], +// const uint64_t scalar[static 4], +// const uint64_t point[static 8]); +// +// Given scalar = n and point = P, assumed to be on the NIST elliptic +// curve P-256, returns the point (X,Y) = n * P. The input and output +// are affine points, and in the case of the point at infinity as +// the result, (0,0) is returned. +// +// Standard ARM ABI: X0 = res, X1 = scalar, X2 = point +// ---------------------------------------------------------------------------- + + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p256_scalarmul_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p256_scalarmul_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p256_scalarmul_alt) + + + .text + .balign 4 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Safe copies of inputs (res lasts the whole code, point not so long) +// and additional values in variables, with some aliasing + +#define res x19 +#define sgn x20 +#define j x20 +#define point x21 + +// Intermediate variables on the stack. The last z2, z3 values can +// safely be overlaid on the table, which is no longer needed at the end. + +#define scalarb sp, #(0*NUMSIZE) +#define acc sp, #(1*NUMSIZE) +#define tabent sp, #(4*NUMSIZE) + +#define tab sp, #(7*NUMSIZE) + +#define z2 sp, #(7*NUMSIZE) +#define z3 sp, #(8*NUMSIZE) + +#define NSPACE 31*NUMSIZE + +// Loading large constants + +#define movbig(nn,n3,n2,n1,n0) \ + movz nn, n0 __LF \ + movk nn, n1, lsl #16 __LF \ + movk nn, n2, lsl #32 __LF \ + movk nn, n3, lsl #48 + +S2N_BN_SYMBOL(p256_scalarmul_alt): + CFI_START + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x30) + CFI_DEC_SP(NSPACE) + +// Preserve the "res" and "point" input arguments. We load and process the +// scalar immediately so we don't bother preserving that input argument. +// Also, "point" is only needed early on and so its register gets re-used. + + mov res, x0 + mov point, x2 + +// Load the digits of group order n_256 = [x12;x13;x14;x15] + + movbig(x12, #0xf3b9, #0xcac2, #0xfc63, #0x2551) + movbig(x13, #0xbce6, #0xfaad, #0xa717, #0x9e84) + mov x14, #0xffffffffffffffff + mov x15, #0xffffffff00000000 + +// First, reduce the input scalar mod n_256, i.e. conditionally subtract n_256 + + ldp x2, x3, [x1] + ldp x4, x5, [x1, #16] + + subs x6, x2, x12 + sbcs x7, x3, x13 + sbcs x8, x4, x14 + sbcs x9, x5, x15 + + csel x2, x2, x6, cc + csel x3, x3, x7, cc + csel x4, x4, x8, cc + csel x5, x5, x9, cc + +// Now if the top bit of the reduced scalar is set, negate it mod n_256, +// i.e. do n |-> n_256 - n. Remember the sign as "sgn" so we can +// correspondingly negate the point below. + + subs x6, x12, x2 + sbcs x7, x13, x3 + sbcs x8, x14, x4 + sbc x9, x15, x5 + + tst x5, #0x8000000000000000 + csel x2, x2, x6, eq + csel x3, x3, x7, eq + csel x4, x4, x8, eq + csel x5, x5, x9, eq + cset sgn, ne + +// In either case then add the recoding constant 0x08888...888 to allow +// signed digits. + + mov x6, 0x8888888888888888 + adds x2, x2, x6 + adcs x3, x3, x6 + bic x7, x6, #0xF000000000000000 + adcs x4, x4, x6 + adc x5, x5, x7 + + stp x2, x3, [scalarb] + stp x4, x5, [scalarb+16] + +// Set the tab[0] table entry to Montgomery-Jacobian point = 1 * P +// The z coordinate is just the Montgomery form of the constant 1. + + add x0, tab + mov x1, point + CFI_BL(Lp256_scalarmul_alt_local_tomont_p256) + + add x1, point, #32 + add x0, tab+32 + CFI_BL(Lp256_scalarmul_alt_local_tomont_p256) + + mov x0, #0x0000000000000001 + mov x1, #0xffffffff00000000 + stp x0, x1, [tab+64] + mov x2, #0xffffffffffffffff + mov x3, #0x00000000fffffffe + stp x2, x3, [tab+80] + +// If the top bit of the scalar was set, negate (y coordinate of) the point + + ldp x4, x5, [tab+32] + ldp x6, x7, [tab+48] + + mov x0, 0xffffffffffffffff + subs x0, x0, x4 + mov x1, 0x00000000ffffffff + sbcs x1, x1, x5 + mov x3, 0xffffffff00000001 + sbcs x2, xzr, x6 + sbc x3, x3, x7 + + cmp sgn, xzr + csel x4, x0, x4, ne + csel x5, x1, x5, ne + csel x6, x2, x6, ne + csel x7, x3, x7, ne + + stp x4, x5, [tab+32] + stp x6, x7, [tab+48] + +// Compute and record tab[1] = 2 * p, ..., tab[7] = 8 * P + + add x0, tab+96*1 + add x1, tab + CFI_BL(Lp256_scalarmul_alt_local_p256_montjdouble) + + add x0, tab+96*2 + add x1, tab+96*1 + add x2, tab + CFI_BL(Lp256_scalarmul_alt_local_p256_montjmixadd) + + add x0, tab+96*3 + add x1, tab+96*1 + CFI_BL(Lp256_scalarmul_alt_local_p256_montjdouble) + + add x0, tab+96*4 + add x1, tab+96*3 + add x2, tab + CFI_BL(Lp256_scalarmul_alt_local_p256_montjmixadd) + + add x0, tab+96*5 + add x1, tab+96*2 + CFI_BL(Lp256_scalarmul_alt_local_p256_montjdouble) + + add x0, tab+96*6 + add x1, tab+96*5 + add x2, tab + CFI_BL(Lp256_scalarmul_alt_local_p256_montjmixadd) + + add x0, tab+96*7 + add x1, tab+96*3 + CFI_BL(Lp256_scalarmul_alt_local_p256_montjdouble) + +// Initialize the accumulator as a table entry for top 4 bits (unrecoded) + + ldr x14, [scalarb+24] + lsr x14, x14, #60 + + mov x0, xzr + mov x1, xzr + mov x2, xzr + mov x3, xzr + mov x4, xzr + mov x5, xzr + mov x6, xzr + mov x7, xzr + mov x8, xzr + mov x9, xzr + mov x10, xzr + mov x11, xzr + add x15, tab + + .set i, 1 +.rep 8 + cmp x14, #i + ldp x12, x13, [x15] + csel x0, x12, x0, eq + csel x1, x13, x1, eq + ldp x12, x13, [x15, #16] + csel x2, x12, x2, eq + csel x3, x13, x3, eq + ldp x12, x13, [x15, #32] + csel x4, x12, x4, eq + csel x5, x13, x5, eq + ldp x12, x13, [x15, #48] + csel x6, x12, x6, eq + csel x7, x13, x7, eq + ldp x12, x13, [x15, #64] + csel x8, x12, x8, eq + csel x9, x13, x9, eq + ldp x12, x13, [x15, #80] + csel x10, x12, x10, eq + csel x11, x13, x11, eq + add x15, x15, #96 + .set i, (i+1) +.endr + stp x0, x1, [acc] + stp x2, x3, [acc+16] + stp x4, x5, [acc+32] + stp x6, x7, [acc+48] + stp x8, x9, [acc+64] + stp x10, x11, [acc+80] + + mov j, #252 + +// Main loop over size-4 bitfields: double 4 times then add signed digit + +Lp256_scalarmul_alt_loop: + sub j, j, #4 + + add x0, acc + add x1, acc + CFI_BL(Lp256_scalarmul_alt_local_p256_montjdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp256_scalarmul_alt_local_p256_montjdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp256_scalarmul_alt_local_p256_montjdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp256_scalarmul_alt_local_p256_montjdouble) + + lsr x2, j, #6 + ldr x14, [sp, x2, lsl #3] // Exploits scalarb = sp exactly + lsr x14, x14, j + and x14, x14, #15 + + subs x14, x14, #8 + cset x16, lo // x16 = sign of digit (1 = negative) + cneg x14, x14, lo // x14 = absolute value of digit + +// Conditionally select the table entry tab[i-1] = i * P in constant time + + mov x0, xzr + mov x1, xzr + mov x2, xzr + mov x3, xzr + mov x4, xzr + mov x5, xzr + mov x6, xzr + mov x7, xzr + mov x8, xzr + mov x9, xzr + mov x10, xzr + mov x11, xzr + add x15, tab + .set i, 1 +.rep 8 + cmp x14, #i + ldp x12, x13, [x15] + csel x0, x12, x0, eq + csel x1, x13, x1, eq + ldp x12, x13, [x15, #16] + csel x2, x12, x2, eq + csel x3, x13, x3, eq + ldp x12, x13, [x15, #32] + csel x4, x12, x4, eq + csel x5, x13, x5, eq + ldp x12, x13, [x15, #48] + csel x6, x12, x6, eq + csel x7, x13, x7, eq + ldp x12, x13, [x15, #64] + csel x8, x12, x8, eq + csel x9, x13, x9, eq + ldp x12, x13, [x15, #80] + csel x10, x12, x10, eq + csel x11, x13, x11, eq + add x15, x15, #96 + .set i, (i+1) +.endr + +// Store it to "tabent" with the y coordinate optionally negated + + stp x0, x1, [tabent] + stp x2, x3, [tabent+16] + + mov x0, 0xffffffffffffffff + subs x0, x0, x4 + mov x1, 0x00000000ffffffff + sbcs x1, x1, x5 + mov x3, 0xffffffff00000001 + sbcs x2, xzr, x6 + sbc x3, x3, x7 + + cmp x16, xzr + csel x4, x0, x4, ne + csel x5, x1, x5, ne + csel x6, x2, x6, ne + csel x7, x3, x7, ne + + stp x4, x5, [tabent+32] + stp x6, x7, [tabent+48] + stp x8, x9, [tabent+64] + stp x10, x11, [tabent+80] + + add x0, acc + add x1, acc + add x2, tabent + CFI_BL(Lp256_scalarmul_alt_local_p256_montjadd) + + cbnz j, Lp256_scalarmul_alt_loop + +// That's the end of the main loop, and we just need to translate +// back from the Jacobian representation to affine. First of all, +// let z2 = 1/z^2 and z3 = 1/z^3, both without Montgomery form + + add x0, z2 + add x1, acc+64 + CFI_BL(Lp256_scalarmul_alt_local_montsqr_p256) + + add x0, z3 + add x2, z2 + add x1, acc+64 + CFI_BL(Lp256_scalarmul_alt_local_montmul_p256) + + add x0, z2 + add x1, z3 + CFI_BL(Lp256_scalarmul_alt_local_demont_p256) + + add x0, z3 + add x1, z2 + CFI_BL(Lp256_scalarmul_alt_local_inv_p256) + + add x0, z2 + add x2, z3 + add x1, acc+64 + CFI_BL(Lp256_scalarmul_alt_local_montmul_p256) + +// Convert back from Jacobian (X,Y,Z) |-> (X/Z^2, Y/Z^3) + + add x1, acc + add x2, z2 + mov x0, res + CFI_BL(Lp256_scalarmul_alt_local_montmul_p256) + + add x0, res, #32 + add x1, acc+32 + add x2, z3 + CFI_BL(Lp256_scalarmul_alt_local_montmul_p256) + +// Restore stack and registers and return + + CFI_INC_SP(NSPACE) + CFI_POP2(x21,x30) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p256_scalarmul_alt) + +// Local copies of subroutines, complete clones at the moment + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmul_alt_local_demont_p256) + +Lp256_scalarmul_alt_local_demont_p256: + CFI_START + ldp x2, x3, [x1] + ldp x4, x5, [x1, #16] + lsl x7, x2, #32 + subs x8, x2, x7 + lsr x6, x2, #32 + sbc x2, x2, x6 + adds x3, x3, x7 + adcs x4, x4, x6 + adcs x5, x5, x8 + adc x2, x2, xzr + lsl x7, x3, #32 + subs x8, x3, x7 + lsr x6, x3, #32 + sbc x3, x3, x6 + adds x4, x4, x7 + adcs x5, x5, x6 + adcs x2, x2, x8 + adc x3, x3, xzr + lsl x7, x4, #32 + subs x8, x4, x7 + lsr x6, x4, #32 + sbc x4, x4, x6 + adds x5, x5, x7 + adcs x2, x2, x6 + adcs x3, x3, x8 + adc x4, x4, xzr + lsl x7, x5, #32 + subs x8, x5, x7 + lsr x6, x5, #32 + sbc x5, x5, x6 + adds x2, x2, x7 + adcs x3, x3, x6 + adcs x4, x4, x8 + adc x5, x5, xzr + stp x2, x3, [x0] + stp x4, x5, [x0, #16] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmul_alt_local_demont_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmul_alt_local_inv_p256) + +Lp256_scalarmul_alt_local_inv_p256: + CFI_START + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_DEC_SP(160) + mov x20, x0 + mov x10, #0xffffffffffffffff + mov x11, #0xffffffff + mov x13, #0xffffffff00000001 + stp x10, x11, [sp] + stp xzr, x13, [sp, #16] + str xzr, [sp, #32] + ldp x2, x3, [x1] + subs x10, x2, x10 + sbcs x11, x3, x11 + ldp x4, x5, [x1, #16] + sbcs x12, x4, xzr + sbcs x13, x5, x13 + csel x2, x2, x10, cc + csel x3, x3, x11, cc + csel x4, x4, x12, cc + csel x5, x5, x13, cc + stp x2, x3, [sp, #48] + stp x4, x5, [sp, #64] + str xzr, [sp, #80] + stp xzr, xzr, [sp, #96] + stp xzr, xzr, [sp, #112] + mov x10, #0x4000000000000 + stp x10, xzr, [sp, #128] + stp xzr, xzr, [sp, #144] + mov x21, #0xa + mov x22, #0x1 + b Lp256_scalarmul_alt_inv_midloop +Lp256_scalarmul_alt_inv_loop: + cmp x10, xzr + csetm x14, mi + cneg x10, x10, mi + cmp x11, xzr + csetm x15, mi + cneg x11, x11, mi + cmp x12, xzr + csetm x16, mi + cneg x12, x12, mi + cmp x13, xzr + csetm x17, mi + cneg x13, x13, mi + and x0, x10, x14 + and x1, x11, x15 + add x9, x0, x1 + and x0, x12, x16 + and x1, x13, x17 + add x19, x0, x1 + ldr x7, [sp] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #48] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + adc x2, x2, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x5, x19, x0 + adc x3, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x7, [sp, #8] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #56] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + adc x6, x6, x1 + extr x4, x2, x4, #59 + str x4, [sp] + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x3, x3, x0 + adc x4, x4, x1 + extr x5, x3, x5, #59 + str x5, [sp, #48] + ldr x7, [sp, #16] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #64] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + adc x5, x5, x1 + extr x2, x6, x2, #59 + str x2, [sp, #8] + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x4, x4, x0 + adc x2, x2, x1 + extr x3, x4, x3, #59 + str x3, [sp, #56] + ldr x7, [sp, #24] + eor x1, x7, x14 + ldr x23, [sp, #32] + eor x3, x23, x14 + and x3, x3, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #72] + eor x1, x8, x15 + ldr x24, [sp, #80] + eor x0, x24, x15 + and x0, x0, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x5, x6, #59 + str x6, [sp, #16] + extr x5, x3, x5, #59 + str x5, [sp, #24] + asr x3, x3, #59 + str x3, [sp, #32] + eor x1, x7, x16 + eor x5, x23, x16 + and x5, x5, x12 + neg x5, x5 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, x17 + eor x0, x24, x17 + and x0, x0, x13 + sub x5, x5, x0 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x2, x2, x0 + adc x5, x5, x1 + extr x4, x2, x4, #59 + str x4, [sp, #64] + extr x2, x5, x2, #59 + str x2, [sp, #72] + asr x5, x5, #59 + str x5, [sp, #80] + ldr x7, [sp, #96] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #128] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + str x4, [sp, #96] + adc x2, x2, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x5, x19, x0 + adc x3, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x5, x5, x0 + str x5, [sp, #128] + adc x3, x3, x1 + ldr x7, [sp, #104] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #136] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + str x2, [sp, #104] + adc x6, x6, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x3, x3, x0 + str x3, [sp, #136] + adc x4, x4, x1 + ldr x7, [sp, #112] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #144] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + str x6, [sp, #112] + adc x5, x5, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x4, x4, x0 + str x4, [sp, #144] + adc x2, x2, x1 + ldr x7, [sp, #120] + eor x1, x7, x14 + and x3, x14, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #152] + eor x1, x8, x15 + and x0, x15, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + ldp x0, x1, [sp, #96] + ldr x6, [sp, #112] + mov x14, #0xe000000000000000 + adds x0, x0, x14 + sbcs x1, x1, xzr + mov x11, #0x1fffffff + adcs x6, x6, x11 + mov x10, #0x2000000000000000 + adcs x5, x5, x10 + mov x14, #0x1fffffffe0000000 + adc x3, x3, x14 + lsl x11, x0, #32 + subs x14, x0, x11 + lsr x10, x0, #32 + sbc x0, x0, x10 + adds x1, x1, x11 + adcs x6, x6, x10 + adcs x5, x5, x14 + adcs x3, x3, x0 + mov x14, #0xffffffffffffffff + mov x11, #0xffffffff + mov x10, #0xffffffff00000001 + csel x14, x14, xzr, cs + csel x11, x11, xzr, cs + csel x10, x10, xzr, cs + subs x1, x1, x14 + sbcs x6, x6, x11 + sbcs x5, x5, xzr + sbc x3, x3, x10 + stp x1, x6, [sp, #96] + stp x5, x3, [sp, #112] + eor x1, x7, x16 + and x5, x16, x12 + neg x5, x5 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, x17 + and x0, x17, x13 + sub x5, x5, x0 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x2, x2, x0 + adc x5, x5, x1 + ldp x0, x1, [sp, #128] + ldr x3, [sp, #144] + mov x14, #0xe000000000000000 + adds x0, x0, x14 + sbcs x1, x1, xzr + mov x11, #0x1fffffff + adcs x3, x3, x11 + mov x10, #0x2000000000000000 + adcs x2, x2, x10 + mov x14, #0x1fffffffe0000000 + adc x5, x5, x14 + lsl x11, x0, #32 + subs x14, x0, x11 + lsr x10, x0, #32 + sbc x0, x0, x10 + adds x1, x1, x11 + adcs x3, x3, x10 + adcs x2, x2, x14 + adcs x5, x5, x0 + mov x14, #0xffffffffffffffff + mov x11, #0xffffffff + mov x10, #0xffffffff00000001 + csel x14, x14, xzr, cs + csel x11, x11, xzr, cs + csel x10, x10, xzr, cs + subs x1, x1, x14 + sbcs x3, x3, x11 + sbcs x2, x2, xzr + sbc x5, x5, x10 + stp x1, x3, [sp, #128] + stp x2, x5, [sp, #144] +Lp256_scalarmul_alt_inv_midloop: + mov x1, x22 + ldr x2, [sp] + ldr x3, [sp, #48] + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x8, x4, #0x100, lsl #12 + sbfx x8, x8, #21, #21 + mov x11, #0x100000 + add x11, x11, x11, lsl #21 + add x9, x4, x11 + asr x9, x9, #42 + add x10, x5, #0x100, lsl #12 + sbfx x10, x10, #21, #21 + add x11, x5, x11 + asr x11, x11, #42 + mul x6, x8, x2 + mul x7, x9, x3 + mul x2, x10, x2 + mul x3, x11, x3 + add x4, x6, x7 + add x5, x2, x3 + asr x2, x4, #20 + asr x3, x5, #20 + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x12, x4, #0x100, lsl #12 + sbfx x12, x12, #21, #21 + mov x15, #0x100000 + add x15, x15, x15, lsl #21 + add x13, x4, x15 + asr x13, x13, #42 + add x14, x5, #0x100, lsl #12 + sbfx x14, x14, #21, #21 + add x15, x5, x15 + asr x15, x15, #42 + mul x6, x12, x2 + mul x7, x13, x3 + mul x2, x14, x2 + mul x3, x15, x3 + add x4, x6, x7 + add x5, x2, x3 + asr x2, x4, #20 + asr x3, x5, #20 + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + mul x2, x12, x8 + mul x3, x12, x9 + mul x6, x14, x8 + mul x7, x14, x9 + madd x8, x13, x10, x2 + madd x9, x13, x11, x3 + madd x16, x15, x10, x6 + madd x17, x15, x11, x7 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x12, x4, #0x100, lsl #12 + sbfx x12, x12, #22, #21 + mov x15, #0x100000 + add x15, x15, x15, lsl #21 + add x13, x4, x15 + asr x13, x13, #43 + add x14, x5, #0x100, lsl #12 + sbfx x14, x14, #22, #21 + add x15, x5, x15 + asr x15, x15, #43 + mneg x2, x12, x8 + mneg x3, x12, x9 + mneg x4, x14, x8 + mneg x5, x14, x9 + msub x10, x13, x16, x2 + msub x11, x13, x17, x3 + msub x12, x15, x16, x4 + msub x13, x15, x17, x5 + mov x22, x1 + subs x21, x21, #0x1 + b.ne Lp256_scalarmul_alt_inv_loop + ldr x0, [sp] + ldr x1, [sp, #48] + mul x0, x0, x10 + madd x1, x1, x11, x0 + asr x0, x1, #63 + cmp x10, xzr + csetm x14, mi + cneg x10, x10, mi + eor x14, x14, x0 + cmp x11, xzr + csetm x15, mi + cneg x11, x11, mi + eor x15, x15, x0 + cmp x12, xzr + csetm x16, mi + cneg x12, x12, mi + eor x16, x16, x0 + cmp x13, xzr + csetm x17, mi + cneg x13, x13, mi + eor x17, x17, x0 + and x0, x10, x14 + and x1, x11, x15 + add x9, x0, x1 + ldr x7, [sp, #96] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #128] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + str x4, [sp, #96] + adc x2, x2, x1 + ldr x7, [sp, #104] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #136] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + str x2, [sp, #104] + adc x6, x6, x1 + ldr x7, [sp, #112] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #144] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + str x6, [sp, #112] + adc x5, x5, x1 + ldr x7, [sp, #120] + eor x1, x7, x14 + and x3, x14, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #152] + eor x1, x8, x15 + and x0, x15, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + ldp x0, x1, [sp, #96] + ldr x2, [sp, #112] + mov x14, #0xe000000000000000 + adds x0, x0, x14 + sbcs x1, x1, xzr + mov x11, #0x1fffffff + adcs x2, x2, x11 + mov x10, #0x2000000000000000 + adcs x5, x5, x10 + mov x14, #0x1fffffffe0000000 + adc x3, x3, x14 + lsl x11, x0, #32 + subs x14, x0, x11 + lsr x10, x0, #32 + sbc x0, x0, x10 + adds x1, x1, x11 + adcs x2, x2, x10 + adcs x5, x5, x14 + adcs x3, x3, x0 + mov x14, #0xffffffffffffffff + mov x11, #0xffffffff + mov x10, #0xffffffff00000001 + csel x14, x14, xzr, cs + csel x11, x11, xzr, cs + csel x10, x10, xzr, cs + subs x1, x1, x14 + sbcs x2, x2, x11 + sbcs x5, x5, xzr + sbc x3, x3, x10 + mov x10, #0xffffffffffffffff + subs x10, x1, x10 + mov x11, #0xffffffff + sbcs x11, x2, x11 + mov x13, #0xffffffff00000001 + sbcs x12, x5, xzr + sbcs x13, x3, x13 + csel x10, x1, x10, cc + csel x11, x2, x11, cc + csel x12, x5, x12, cc + csel x13, x3, x13, cc + stp x10, x11, [x20] + stp x12, x13, [x20, #16] + CFI_INC_SP(160) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmul_alt_local_inv_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmul_alt_local_montmul_p256) + +Lp256_scalarmul_alt_local_montmul_p256: + CFI_START + ldp x3, x4, [x1] + ldp x7, x8, [x2] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [x2, #16] + mul x11, x3, x9 + umulh x15, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x16, x3, x10 + adcs x15, x15, x11 + adc x16, x16, xzr + ldp x5, x6, [x1, #16] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x15, x15, x11 + mul x11, x4, x10 + adcs x16, x16, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x15, x15, x11 + umulh x11, x4, x9 + adcs x16, x16, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x15, x15, x11 + mul x11, x5, x9 + adcs x16, x16, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x15, x15, x11 + umulh x11, x5, x8 + adcs x16, x16, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x15, x15, x11 + mul x11, x6, x8 + adcs x16, x16, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x15, x15, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x16, x16, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x15, x15, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x15, x15, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x15, lsl #32 + lsr x11, x15, #32 + adcs x13, x13, x11 + mul x11, x15, x10 + umulh x15, x15, x10 + adcs x14, x14, x11 + adc x15, x15, xzr + adds x12, x12, x16 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x15, x15, x5 + cset x8, cs + mov x11, #0xffffffff + adds x16, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x15, x10 + sbcs xzr, x8, xzr + csel x12, x12, x16, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x15, x15, x5, cc + stp x12, x13, [x0] + stp x14, x15, [x0, #16] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmul_alt_local_montmul_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmul_alt_local_montsqr_p256) + +Lp256_scalarmul_alt_local_montsqr_p256: + CFI_START + ldp x2, x3, [x1] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [x1, #16] + mul x11, x2, x5 + umulh x12, x2, x5 + mul x6, x2, x4 + umulh x7, x2, x4 + adds x10, x10, x6 + adcs x11, x11, x7 + mul x6, x3, x4 + umulh x7, x3, x4 + adc x7, x7, xzr + adds x11, x11, x6 + mul x13, x4, x5 + umulh x14, x4, x5 + adcs x12, x12, x7 + mul x6, x3, x5 + umulh x7, x3, x5 + adc x7, x7, xzr + adds x12, x12, x6 + adcs x13, x13, x7 + adc x14, x14, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + cset x7, cs + umulh x6, x2, x2 + mul x8, x2, x2 + adds x9, x9, x6 + mul x6, x3, x3 + adcs x10, x10, x6 + umulh x6, x3, x3 + adcs x11, x11, x6 + mul x6, x4, x4 + adcs x12, x12, x6 + umulh x6, x4, x4 + adcs x13, x13, x6 + mul x6, x5, x5 + adcs x14, x14, x6 + umulh x6, x5, x5 + adc x7, x7, x6 + mov x5, #0xffffffff00000001 + adds x9, x9, x8, lsl #32 + lsr x2, x8, #32 + adcs x10, x10, x2 + mul x2, x8, x5 + umulh x8, x8, x5 + adcs x11, x11, x2 + adc x8, x8, xzr + adds x10, x10, x9, lsl #32 + lsr x2, x9, #32 + adcs x11, x11, x2 + mul x2, x9, x5 + umulh x9, x9, x5 + adcs x8, x8, x2 + adc x9, x9, xzr + adds x11, x11, x10, lsl #32 + lsr x2, x10, #32 + adcs x8, x8, x2 + mul x2, x10, x5 + umulh x10, x10, x5 + adcs x9, x9, x2 + adc x10, x10, xzr + adds x8, x8, x11, lsl #32 + lsr x2, x11, #32 + adcs x9, x9, x2 + mul x2, x11, x5 + umulh x11, x11, x5 + adcs x10, x10, x2 + adc x11, x11, xzr + adds x8, x8, x12 + adcs x9, x9, x13 + adcs x10, x10, x14 + adcs x11, x11, x7 + cset x2, cs + mov x3, #0xffffffff + adds x12, x8, #0x1 + sbcs x13, x9, x3 + sbcs x14, x10, xzr + sbcs x7, x11, x5 + sbcs xzr, x2, xzr + csel x8, x8, x12, cc + csel x9, x9, x13, cc + csel x10, x10, x14, cc + csel x11, x11, x7, cc + stp x8, x9, [x0] + stp x10, x11, [x0, #16] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmul_alt_local_montsqr_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmul_alt_local_tomont_p256) + +Lp256_scalarmul_alt_local_tomont_p256: + CFI_START + ldp x2, x3, [x1] + ldp x4, x5, [x1, #16] + mov x1, #0xffffffffffffffff + mov x7, #0xffffffff + mov x9, #0xffffffff00000001 + subs x1, x2, x1 + sbcs x7, x3, x7 + sbcs x8, x4, xzr + sbcs x9, x5, x9 + csel x2, x2, x1, cc + csel x3, x3, x7, cc + csel x4, x4, x8, cc + csel x5, x5, x9, cc + cmp xzr, xzr + extr x9, x5, x4, #32 + adcs xzr, x4, x9 + lsr x9, x5, #32 + adcs x9, x5, x9 + csetm x6, cs + orr x9, x9, x6 + lsl x7, x9, #32 + lsr x8, x9, #32 + adds x4, x4, x7 + adc x5, x5, x8 + negs x6, x9 + sbcs x7, x7, xzr + sbc x8, x8, xzr + negs x6, x6 + sbcs x2, x2, x7 + sbcs x3, x3, x8 + sbcs x4, x4, x9 + sbcs x5, x5, x9 + adds x6, x6, x5 + mov x7, #0xffffffff + and x7, x7, x5 + adcs x2, x2, x7 + adcs x3, x3, xzr + mov x7, #0xffffffff00000001 + and x7, x7, x5 + adc x4, x4, x7 + cmp xzr, xzr + extr x9, x4, x3, #32 + adcs xzr, x3, x9 + lsr x9, x4, #32 + adcs x9, x4, x9 + csetm x5, cs + orr x9, x9, x5 + lsl x7, x9, #32 + lsr x8, x9, #32 + adds x3, x3, x7 + adc x4, x4, x8 + negs x5, x9 + sbcs x7, x7, xzr + sbc x8, x8, xzr + negs x5, x5 + sbcs x6, x6, x7 + sbcs x2, x2, x8 + sbcs x3, x3, x9 + sbcs x4, x4, x9 + adds x5, x5, x4 + mov x7, #0xffffffff + and x7, x7, x4 + adcs x6, x6, x7 + adcs x2, x2, xzr + mov x7, #0xffffffff00000001 + and x7, x7, x4 + adc x3, x3, x7 + cmp xzr, xzr + extr x9, x3, x2, #32 + adcs xzr, x2, x9 + lsr x9, x3, #32 + adcs x9, x3, x9 + csetm x4, cs + orr x9, x9, x4 + lsl x7, x9, #32 + lsr x8, x9, #32 + adds x2, x2, x7 + adc x3, x3, x8 + negs x4, x9 + sbcs x7, x7, xzr + sbc x8, x8, xzr + negs x4, x4 + sbcs x5, x5, x7 + sbcs x6, x6, x8 + sbcs x2, x2, x9 + sbcs x3, x3, x9 + adds x4, x4, x3 + mov x7, #0xffffffff + and x7, x7, x3 + adcs x5, x5, x7 + adcs x6, x6, xzr + mov x7, #0xffffffff00000001 + and x7, x7, x3 + adc x2, x2, x7 + cmp xzr, xzr + extr x9, x2, x6, #32 + adcs xzr, x6, x9 + lsr x9, x2, #32 + adcs x9, x2, x9 + csetm x3, cs + orr x9, x9, x3 + lsl x7, x9, #32 + lsr x8, x9, #32 + adds x6, x6, x7 + adc x2, x2, x8 + negs x3, x9 + sbcs x7, x7, xzr + sbc x8, x8, xzr + negs x3, x3 + sbcs x4, x4, x7 + sbcs x5, x5, x8 + sbcs x6, x6, x9 + sbcs x2, x2, x9 + adds x3, x3, x2 + mov x7, #0xffffffff + and x7, x7, x2 + adcs x4, x4, x7 + adcs x5, x5, xzr + mov x7, #0xffffffff00000001 + and x7, x7, x2 + adc x6, x6, x7 + stp x3, x4, [x0] + stp x5, x6, [x0, #16] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmul_alt_local_tomont_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmul_alt_local_p256_montjadd) + +Lp256_scalarmul_alt_local_p256_montjadd: + CFI_START + CFI_DEC_SP(224) + mov x15, x0 + mov x16, x1 + mov x17, x2 + ldp x2, x3, [x16, #64] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [x16, #80] + mul x11, x2, x5 + umulh x12, x2, x5 + mul x6, x2, x4 + umulh x7, x2, x4 + adds x10, x10, x6 + adcs x11, x11, x7 + mul x6, x3, x4 + umulh x7, x3, x4 + adc x7, x7, xzr + adds x11, x11, x6 + mul x13, x4, x5 + umulh x14, x4, x5 + adcs x12, x12, x7 + mul x6, x3, x5 + umulh x7, x3, x5 + adc x7, x7, xzr + adds x12, x12, x6 + adcs x13, x13, x7 + adc x14, x14, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + cset x7, cs + umulh x6, x2, x2 + mul x8, x2, x2 + adds x9, x9, x6 + mul x6, x3, x3 + adcs x10, x10, x6 + umulh x6, x3, x3 + adcs x11, x11, x6 + mul x6, x4, x4 + adcs x12, x12, x6 + umulh x6, x4, x4 + adcs x13, x13, x6 + mul x6, x5, x5 + adcs x14, x14, x6 + umulh x6, x5, x5 + adc x7, x7, x6 + adds x9, x9, x8, lsl #32 + lsr x3, x8, #32 + adcs x10, x10, x3 + mov x3, #0xffffffff00000001 + mul x2, x8, x3 + umulh x8, x8, x3 + adcs x11, x11, x2 + adc x8, x8, xzr + adds x10, x10, x9, lsl #32 + lsr x3, x9, #32 + adcs x11, x11, x3 + mov x3, #0xffffffff00000001 + mul x2, x9, x3 + umulh x9, x9, x3 + adcs x8, x8, x2 + adc x9, x9, xzr + adds x11, x11, x10, lsl #32 + lsr x3, x10, #32 + adcs x8, x8, x3 + mov x3, #0xffffffff00000001 + mul x2, x10, x3 + umulh x10, x10, x3 + adcs x9, x9, x2 + adc x10, x10, xzr + adds x8, x8, x11, lsl #32 + lsr x3, x11, #32 + adcs x9, x9, x3 + mov x3, #0xffffffff00000001 + mul x2, x11, x3 + umulh x11, x11, x3 + adcs x10, x10, x2 + adc x11, x11, xzr + adds x8, x8, x12 + adcs x9, x9, x13 + adcs x10, x10, x14 + adcs x11, x11, x7 + mov x2, #0xffffffffffffffff + csel x2, xzr, x2, cc + mov x3, #0xffffffff + csel x3, xzr, x3, cc + mov x5, #0xffffffff00000001 + csel x5, xzr, x5, cc + subs x8, x8, x2 + sbcs x9, x9, x3 + sbcs x10, x10, xzr + sbc x11, x11, x5 + stp x8, x9, [sp] + stp x10, x11, [sp, #16] + ldp x2, x3, [x17, #64] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [x17, #80] + mul x11, x2, x5 + umulh x12, x2, x5 + mul x6, x2, x4 + umulh x7, x2, x4 + adds x10, x10, x6 + adcs x11, x11, x7 + mul x6, x3, x4 + umulh x7, x3, x4 + adc x7, x7, xzr + adds x11, x11, x6 + mul x13, x4, x5 + umulh x14, x4, x5 + adcs x12, x12, x7 + mul x6, x3, x5 + umulh x7, x3, x5 + adc x7, x7, xzr + adds x12, x12, x6 + adcs x13, x13, x7 + adc x14, x14, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + cset x7, cs + umulh x6, x2, x2 + mul x8, x2, x2 + adds x9, x9, x6 + mul x6, x3, x3 + adcs x10, x10, x6 + umulh x6, x3, x3 + adcs x11, x11, x6 + mul x6, x4, x4 + adcs x12, x12, x6 + umulh x6, x4, x4 + adcs x13, x13, x6 + mul x6, x5, x5 + adcs x14, x14, x6 + umulh x6, x5, x5 + adc x7, x7, x6 + adds x9, x9, x8, lsl #32 + lsr x3, x8, #32 + adcs x10, x10, x3 + mov x3, #0xffffffff00000001 + mul x2, x8, x3 + umulh x8, x8, x3 + adcs x11, x11, x2 + adc x8, x8, xzr + adds x10, x10, x9, lsl #32 + lsr x3, x9, #32 + adcs x11, x11, x3 + mov x3, #0xffffffff00000001 + mul x2, x9, x3 + umulh x9, x9, x3 + adcs x8, x8, x2 + adc x9, x9, xzr + adds x11, x11, x10, lsl #32 + lsr x3, x10, #32 + adcs x8, x8, x3 + mov x3, #0xffffffff00000001 + mul x2, x10, x3 + umulh x10, x10, x3 + adcs x9, x9, x2 + adc x10, x10, xzr + adds x8, x8, x11, lsl #32 + lsr x3, x11, #32 + adcs x9, x9, x3 + mov x3, #0xffffffff00000001 + mul x2, x11, x3 + umulh x11, x11, x3 + adcs x10, x10, x2 + adc x11, x11, xzr + adds x8, x8, x12 + adcs x9, x9, x13 + adcs x10, x10, x14 + adcs x11, x11, x7 + mov x2, #0xffffffffffffffff + csel x2, xzr, x2, cc + mov x3, #0xffffffff + csel x3, xzr, x3, cc + mov x5, #0xffffffff00000001 + csel x5, xzr, x5, cc + subs x8, x8, x2 + sbcs x9, x9, x3 + sbcs x10, x10, xzr + sbc x11, x11, x5 + stp x8, x9, [sp, #160] + stp x10, x11, [sp, #176] + ldp x3, x4, [x17, #64] + ldp x7, x8, [x16, #32] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [x16, #48] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [x17, #80] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #192] + stp x14, x0, [sp, #208] + ldp x3, x4, [x16, #64] + ldp x7, x8, [x17, #32] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [x17, #48] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [x16, #80] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #32] + stp x14, x0, [sp, #48] + ldp x3, x4, [sp] + ldp x7, x8, [x17] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [x17, #16] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #16] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #64] + stp x14, x0, [sp, #80] + ldp x3, x4, [sp, #160] + ldp x7, x8, [x16] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [x16, #16] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #176] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #128] + stp x14, x0, [sp, #144] + ldp x3, x4, [sp] + ldp x7, x8, [sp, #32] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [sp, #48] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #16] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #32] + stp x14, x0, [sp, #48] + ldp x3, x4, [sp, #160] + ldp x7, x8, [sp, #192] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [sp, #208] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #176] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #192] + stp x14, x0, [sp, #208] + ldp x5, x6, [sp, #64] + ldp x4, x3, [sp, #128] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #80] + ldp x4, x3, [sp, #144] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #160] + stp x7, x8, [sp, #176] + ldp x5, x6, [sp, #32] + ldp x4, x3, [sp, #192] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #48] + ldp x4, x3, [sp, #208] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #32] + stp x7, x8, [sp, #48] + ldp x2, x3, [sp, #160] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [sp, #176] + mul x11, x2, x5 + umulh x12, x2, x5 + mul x6, x2, x4 + umulh x7, x2, x4 + adds x10, x10, x6 + adcs x11, x11, x7 + mul x6, x3, x4 + umulh x7, x3, x4 + adc x7, x7, xzr + adds x11, x11, x6 + mul x13, x4, x5 + umulh x14, x4, x5 + adcs x12, x12, x7 + mul x6, x3, x5 + umulh x7, x3, x5 + adc x7, x7, xzr + adds x12, x12, x6 + adcs x13, x13, x7 + adc x14, x14, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + cset x7, cs + umulh x6, x2, x2 + mul x8, x2, x2 + adds x9, x9, x6 + mul x6, x3, x3 + adcs x10, x10, x6 + umulh x6, x3, x3 + adcs x11, x11, x6 + mul x6, x4, x4 + adcs x12, x12, x6 + umulh x6, x4, x4 + adcs x13, x13, x6 + mul x6, x5, x5 + adcs x14, x14, x6 + umulh x6, x5, x5 + adc x7, x7, x6 + adds x9, x9, x8, lsl #32 + lsr x3, x8, #32 + adcs x10, x10, x3 + mov x3, #0xffffffff00000001 + mul x2, x8, x3 + umulh x8, x8, x3 + adcs x11, x11, x2 + adc x8, x8, xzr + adds x10, x10, x9, lsl #32 + lsr x3, x9, #32 + adcs x11, x11, x3 + mov x3, #0xffffffff00000001 + mul x2, x9, x3 + umulh x9, x9, x3 + adcs x8, x8, x2 + adc x9, x9, xzr + adds x11, x11, x10, lsl #32 + lsr x3, x10, #32 + adcs x8, x8, x3 + mov x3, #0xffffffff00000001 + mul x2, x10, x3 + umulh x10, x10, x3 + adcs x9, x9, x2 + adc x10, x10, xzr + adds x8, x8, x11, lsl #32 + lsr x3, x11, #32 + adcs x9, x9, x3 + mov x3, #0xffffffff00000001 + mul x2, x11, x3 + umulh x11, x11, x3 + adcs x10, x10, x2 + adc x11, x11, xzr + adds x8, x8, x12 + adcs x9, x9, x13 + adcs x10, x10, x14 + adcs x11, x11, x7 + mov x2, #0xffffffffffffffff + csel x2, xzr, x2, cc + mov x3, #0xffffffff + csel x3, xzr, x3, cc + mov x5, #0xffffffff00000001 + csel x5, xzr, x5, cc + subs x8, x8, x2 + sbcs x9, x9, x3 + sbcs x10, x10, xzr + sbc x11, x11, x5 + stp x8, x9, [sp, #96] + stp x10, x11, [sp, #112] + ldp x2, x3, [sp, #32] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [sp, #48] + mul x11, x2, x5 + umulh x12, x2, x5 + mul x6, x2, x4 + umulh x7, x2, x4 + adds x10, x10, x6 + adcs x11, x11, x7 + mul x6, x3, x4 + umulh x7, x3, x4 + adc x7, x7, xzr + adds x11, x11, x6 + mul x13, x4, x5 + umulh x14, x4, x5 + adcs x12, x12, x7 + mul x6, x3, x5 + umulh x7, x3, x5 + adc x7, x7, xzr + adds x12, x12, x6 + adcs x13, x13, x7 + adc x14, x14, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + cset x7, cs + umulh x6, x2, x2 + mul x8, x2, x2 + adds x9, x9, x6 + mul x6, x3, x3 + adcs x10, x10, x6 + umulh x6, x3, x3 + adcs x11, x11, x6 + mul x6, x4, x4 + adcs x12, x12, x6 + umulh x6, x4, x4 + adcs x13, x13, x6 + mul x6, x5, x5 + adcs x14, x14, x6 + umulh x6, x5, x5 + adc x7, x7, x6 + adds x9, x9, x8, lsl #32 + lsr x3, x8, #32 + adcs x10, x10, x3 + mov x3, #0xffffffff00000001 + mul x2, x8, x3 + umulh x8, x8, x3 + adcs x11, x11, x2 + adc x8, x8, xzr + adds x10, x10, x9, lsl #32 + lsr x3, x9, #32 + adcs x11, x11, x3 + mov x3, #0xffffffff00000001 + mul x2, x9, x3 + umulh x9, x9, x3 + adcs x8, x8, x2 + adc x9, x9, xzr + adds x11, x11, x10, lsl #32 + lsr x3, x10, #32 + adcs x8, x8, x3 + mov x3, #0xffffffff00000001 + mul x2, x10, x3 + umulh x10, x10, x3 + adcs x9, x9, x2 + adc x10, x10, xzr + adds x8, x8, x11, lsl #32 + lsr x3, x11, #32 + adcs x9, x9, x3 + mov x3, #0xffffffff00000001 + mul x2, x11, x3 + umulh x11, x11, x3 + adcs x10, x10, x2 + adc x11, x11, xzr + adds x8, x8, x12 + adcs x9, x9, x13 + adcs x10, x10, x14 + adcs x11, x11, x7 + cset x2, cs + mov x3, #0xffffffff + mov x5, #0xffffffff00000001 + adds x12, x8, #0x1 + sbcs x13, x9, x3 + sbcs x14, x10, xzr + sbcs x7, x11, x5 + sbcs xzr, x2, xzr + csel x8, x8, x12, cc + csel x9, x9, x13, cc + csel x10, x10, x14, cc + csel x11, x11, x7, cc + stp x8, x9, [sp] + stp x10, x11, [sp, #16] + ldp x3, x4, [sp, #96] + ldp x7, x8, [sp, #128] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [sp, #144] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #112] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #128] + stp x14, x0, [sp, #144] + ldp x3, x4, [sp, #96] + ldp x7, x8, [sp, #64] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [sp, #80] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #112] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #64] + stp x14, x0, [sp, #80] + ldp x5, x6, [sp] + ldp x4, x3, [sp, #128] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #16] + ldp x4, x3, [sp, #144] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp] + stp x7, x8, [sp, #16] + ldp x5, x6, [sp, #64] + ldp x4, x3, [sp, #128] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #80] + ldp x4, x3, [sp, #144] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #96] + stp x7, x8, [sp, #112] + ldp x3, x4, [sp, #160] + ldp x7, x8, [x16, #64] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [x16, #80] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #176] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #160] + stp x14, x0, [sp, #176] + ldp x5, x6, [sp] + ldp x4, x3, [sp, #64] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #16] + ldp x4, x3, [sp, #80] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp] + stp x7, x8, [sp, #16] + ldp x5, x6, [sp, #128] + ldp x4, x3, [sp] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #144] + ldp x4, x3, [sp, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #128] + stp x7, x8, [sp, #144] + ldp x3, x4, [sp, #96] + ldp x7, x8, [sp, #192] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [sp, #208] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #112] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #96] + stp x14, x0, [sp, #112] + ldp x3, x4, [sp, #160] + ldp x7, x8, [x17, #64] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [x17, #80] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #176] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #160] + stp x14, x0, [sp, #176] + ldp x3, x4, [sp, #32] + ldp x7, x8, [sp, #128] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [sp, #144] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #48] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #128] + stp x14, x0, [sp, #144] + ldp x5, x6, [sp, #128] + ldp x4, x3, [sp, #96] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #144] + ldp x4, x3, [sp, #112] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #128] + stp x7, x8, [sp, #144] + ldp x0, x1, [x16, #64] + ldp x2, x3, [x16, #80] + orr x12, x0, x1 + orr x13, x2, x3 + orr x12, x12, x13 + cmp x12, xzr + cset x12, ne + ldp x4, x5, [x17, #64] + ldp x6, x7, [x17, #80] + orr x13, x4, x5 + orr x14, x6, x7 + orr x13, x13, x14 + cmp x13, xzr + cset x13, ne + cmp x13, x12 + ldp x8, x9, [sp, #160] + csel x8, x0, x8, cc + csel x9, x1, x9, cc + csel x8, x4, x8, hi + csel x9, x5, x9, hi + ldp x10, x11, [sp, #176] + csel x10, x2, x10, cc + csel x11, x3, x11, cc + csel x10, x6, x10, hi + csel x11, x7, x11, hi + ldp x12, x13, [x16] + ldp x0, x1, [sp] + csel x0, x12, x0, cc + csel x1, x13, x1, cc + ldp x12, x13, [x17] + csel x0, x12, x0, hi + csel x1, x13, x1, hi + ldp x12, x13, [x16, #16] + ldp x2, x3, [sp, #16] + csel x2, x12, x2, cc + csel x3, x13, x3, cc + ldp x12, x13, [x17, #16] + csel x2, x12, x2, hi + csel x3, x13, x3, hi + ldp x12, x13, [x16, #32] + ldp x4, x5, [sp, #128] + csel x4, x12, x4, cc + csel x5, x13, x5, cc + ldp x12, x13, [x17, #32] + csel x4, x12, x4, hi + csel x5, x13, x5, hi + ldp x12, x13, [x16, #48] + ldp x6, x7, [sp, #144] + csel x6, x12, x6, cc + csel x7, x13, x7, cc + ldp x12, x13, [x17, #48] + csel x6, x12, x6, hi + csel x7, x13, x7, hi + stp x0, x1, [x15] + stp x2, x3, [x15, #16] + stp x4, x5, [x15, #32] + stp x6, x7, [x15, #48] + stp x8, x9, [x15, #64] + stp x10, x11, [x15, #80] + CFI_INC_SP(224) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmul_alt_local_p256_montjadd) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmul_alt_local_p256_montjdouble) + +Lp256_scalarmul_alt_local_p256_montjdouble: + CFI_START + CFI_DEC_SP(192) + mov x15, x0 + mov x16, x1 + ldp x2, x3, [x16, #64] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [x16, #80] + mul x11, x2, x5 + umulh x12, x2, x5 + mul x6, x2, x4 + umulh x7, x2, x4 + adds x10, x10, x6 + adcs x11, x11, x7 + mul x6, x3, x4 + umulh x7, x3, x4 + adc x7, x7, xzr + adds x11, x11, x6 + mul x13, x4, x5 + umulh x14, x4, x5 + adcs x12, x12, x7 + mul x6, x3, x5 + umulh x7, x3, x5 + adc x7, x7, xzr + adds x12, x12, x6 + adcs x13, x13, x7 + adc x14, x14, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + cset x7, cs + umulh x6, x2, x2 + mul x8, x2, x2 + adds x9, x9, x6 + mul x6, x3, x3 + adcs x10, x10, x6 + umulh x6, x3, x3 + adcs x11, x11, x6 + mul x6, x4, x4 + adcs x12, x12, x6 + umulh x6, x4, x4 + adcs x13, x13, x6 + mul x6, x5, x5 + adcs x14, x14, x6 + umulh x6, x5, x5 + adc x7, x7, x6 + mov x5, #0xffffffff00000001 + adds x9, x9, x8, lsl #32 + lsr x3, x8, #32 + adcs x10, x10, x3 + mul x2, x8, x5 + umulh x8, x8, x5 + adcs x11, x11, x2 + adc x8, x8, xzr + adds x10, x10, x9, lsl #32 + lsr x3, x9, #32 + adcs x11, x11, x3 + mul x2, x9, x5 + umulh x9, x9, x5 + adcs x8, x8, x2 + adc x9, x9, xzr + adds x11, x11, x10, lsl #32 + lsr x3, x10, #32 + adcs x8, x8, x3 + mul x2, x10, x5 + umulh x10, x10, x5 + adcs x9, x9, x2 + adc x10, x10, xzr + adds x8, x8, x11, lsl #32 + lsr x3, x11, #32 + adcs x9, x9, x3 + mul x2, x11, x5 + umulh x11, x11, x5 + adcs x10, x10, x2 + adc x11, x11, xzr + adds x8, x8, x12 + adcs x9, x9, x13 + adcs x10, x10, x14 + adcs x11, x11, x7 + cset x2, cs + mov x3, #0xffffffff + adds x12, x8, #0x1 + sbcs x13, x9, x3 + sbcs x14, x10, xzr + sbcs x7, x11, x5 + sbcs xzr, x2, xzr + csel x8, x8, x12, cc + csel x9, x9, x13, cc + csel x10, x10, x14, cc + csel x11, x11, x7, cc + stp x8, x9, [sp] + stp x10, x11, [sp, #16] + ldp x2, x3, [x16, #32] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [x16, #48] + mul x11, x2, x5 + umulh x12, x2, x5 + mul x6, x2, x4 + umulh x7, x2, x4 + adds x10, x10, x6 + adcs x11, x11, x7 + mul x6, x3, x4 + umulh x7, x3, x4 + adc x7, x7, xzr + adds x11, x11, x6 + mul x13, x4, x5 + umulh x14, x4, x5 + adcs x12, x12, x7 + mul x6, x3, x5 + umulh x7, x3, x5 + adc x7, x7, xzr + adds x12, x12, x6 + adcs x13, x13, x7 + adc x14, x14, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + cset x7, cs + umulh x6, x2, x2 + mul x8, x2, x2 + adds x9, x9, x6 + mul x6, x3, x3 + adcs x10, x10, x6 + umulh x6, x3, x3 + adcs x11, x11, x6 + mul x6, x4, x4 + adcs x12, x12, x6 + umulh x6, x4, x4 + adcs x13, x13, x6 + mul x6, x5, x5 + adcs x14, x14, x6 + umulh x6, x5, x5 + adc x7, x7, x6 + mov x5, #0xffffffff00000001 + adds x9, x9, x8, lsl #32 + lsr x3, x8, #32 + adcs x10, x10, x3 + mul x2, x8, x5 + umulh x8, x8, x5 + adcs x11, x11, x2 + adc x8, x8, xzr + adds x10, x10, x9, lsl #32 + lsr x3, x9, #32 + adcs x11, x11, x3 + mul x2, x9, x5 + umulh x9, x9, x5 + adcs x8, x8, x2 + adc x9, x9, xzr + adds x11, x11, x10, lsl #32 + lsr x3, x10, #32 + adcs x8, x8, x3 + mul x2, x10, x5 + umulh x10, x10, x5 + adcs x9, x9, x2 + adc x10, x10, xzr + adds x8, x8, x11, lsl #32 + lsr x3, x11, #32 + adcs x9, x9, x3 + mul x2, x11, x5 + umulh x11, x11, x5 + adcs x10, x10, x2 + adc x11, x11, xzr + adds x8, x8, x12 + adcs x9, x9, x13 + adcs x10, x10, x14 + adcs x11, x11, x7 + cset x2, cs + mov x3, #0xffffffff + adds x12, x8, #0x1 + sbcs x13, x9, x3 + sbcs x14, x10, xzr + sbcs x7, x11, x5 + sbcs xzr, x2, xzr + csel x8, x8, x12, cc + csel x9, x9, x13, cc + csel x10, x10, x14, cc + csel x11, x11, x7, cc + stp x8, x9, [sp, #32] + stp x10, x11, [sp, #48] + ldp x5, x6, [x16] + ldp x4, x3, [sp] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [x16, #16] + ldp x4, x3, [sp, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + and x4, x3, #0xffffffff + adcs x6, x6, x4 + adcs x7, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x8, x8, x4 + stp x5, x6, [sp, #96] + stp x7, x8, [sp, #112] + ldp x5, x6, [x16] + ldp x4, x3, [sp] + adds x5, x5, x4 + adcs x6, x6, x3 + ldp x7, x8, [x16, #16] + ldp x4, x3, [sp, #16] + adcs x7, x7, x4 + adcs x8, x8, x3 + csetm x3, cs + subs x5, x5, x3 + and x1, x3, #0xffffffff + sbcs x6, x6, x1 + sbcs x7, x7, xzr + and x2, x3, #0xffffffff00000001 + sbc x8, x8, x2 + stp x5, x6, [sp, #64] + stp x7, x8, [sp, #80] + ldp x3, x4, [sp, #64] + ldp x7, x8, [sp, #96] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [sp, #112] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #80] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #96] + stp x14, x0, [sp, #112] + ldp x5, x6, [x16, #32] + ldp x4, x3, [x16, #64] + adds x5, x5, x4 + adcs x6, x6, x3 + ldp x7, x8, [x16, #48] + ldp x4, x3, [x16, #80] + adcs x7, x7, x4 + adcs x8, x8, x3 + adc x3, xzr, xzr + cmn x5, #0x1 + mov x4, #0xffffffff + sbcs xzr, x6, x4 + sbcs xzr, x7, xzr + mov x4, #0xffffffff00000001 + sbcs xzr, x8, x4 + adcs x3, x3, xzr + csetm x3, ne + subs x5, x5, x3 + and x4, x3, #0xffffffff + sbcs x6, x6, x4 + sbcs x7, x7, xzr + and x4, x3, #0xffffffff00000001 + sbc x8, x8, x4 + stp x5, x6, [sp, #64] + stp x7, x8, [sp, #80] + ldp x3, x4, [x16] + ldp x7, x8, [sp, #32] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [sp, #48] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [x16, #16] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #128] + stp x14, x0, [sp, #144] + ldp x2, x3, [sp, #96] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [sp, #112] + mul x11, x2, x5 + umulh x12, x2, x5 + mul x6, x2, x4 + umulh x7, x2, x4 + adds x10, x10, x6 + adcs x11, x11, x7 + mul x6, x3, x4 + umulh x7, x3, x4 + adc x7, x7, xzr + adds x11, x11, x6 + mul x13, x4, x5 + umulh x14, x4, x5 + adcs x12, x12, x7 + mul x6, x3, x5 + umulh x7, x3, x5 + adc x7, x7, xzr + adds x12, x12, x6 + adcs x13, x13, x7 + adc x14, x14, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + cset x7, cs + umulh x6, x2, x2 + mul x8, x2, x2 + adds x9, x9, x6 + mul x6, x3, x3 + adcs x10, x10, x6 + umulh x6, x3, x3 + adcs x11, x11, x6 + mul x6, x4, x4 + adcs x12, x12, x6 + umulh x6, x4, x4 + adcs x13, x13, x6 + mul x6, x5, x5 + adcs x14, x14, x6 + umulh x6, x5, x5 + adc x7, x7, x6 + mov x5, #0xffffffff00000001 + adds x9, x9, x8, lsl #32 + lsr x3, x8, #32 + adcs x10, x10, x3 + mul x2, x8, x5 + umulh x8, x8, x5 + adcs x11, x11, x2 + adc x8, x8, xzr + adds x10, x10, x9, lsl #32 + lsr x3, x9, #32 + adcs x11, x11, x3 + mul x2, x9, x5 + umulh x9, x9, x5 + adcs x8, x8, x2 + adc x9, x9, xzr + adds x11, x11, x10, lsl #32 + lsr x3, x10, #32 + adcs x8, x8, x3 + mul x2, x10, x5 + umulh x10, x10, x5 + adcs x9, x9, x2 + adc x10, x10, xzr + adds x8, x8, x11, lsl #32 + lsr x3, x11, #32 + adcs x9, x9, x3 + mul x2, x11, x5 + umulh x11, x11, x5 + adcs x10, x10, x2 + adc x11, x11, xzr + adds x8, x8, x12 + adcs x9, x9, x13 + adcs x10, x10, x14 + adcs x11, x11, x7 + cset x2, cs + mov x3, #0xffffffff + adds x12, x8, #0x1 + sbcs x13, x9, x3 + sbcs x14, x10, xzr + sbcs x7, x11, x5 + sbcs xzr, x2, xzr + csel x8, x8, x12, cc + csel x9, x9, x13, cc + csel x10, x10, x14, cc + csel x11, x11, x7, cc + stp x8, x9, [sp, #160] + stp x10, x11, [sp, #176] + ldp x2, x3, [sp, #64] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [sp, #80] + mul x11, x2, x5 + umulh x12, x2, x5 + mul x6, x2, x4 + umulh x7, x2, x4 + adds x10, x10, x6 + adcs x11, x11, x7 + mul x6, x3, x4 + umulh x7, x3, x4 + adc x7, x7, xzr + adds x11, x11, x6 + mul x13, x4, x5 + umulh x14, x4, x5 + adcs x12, x12, x7 + mul x6, x3, x5 + umulh x7, x3, x5 + adc x7, x7, xzr + adds x12, x12, x6 + adcs x13, x13, x7 + adc x14, x14, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + cset x7, cs + umulh x6, x2, x2 + mul x8, x2, x2 + adds x9, x9, x6 + mul x6, x3, x3 + adcs x10, x10, x6 + umulh x6, x3, x3 + adcs x11, x11, x6 + mul x6, x4, x4 + adcs x12, x12, x6 + umulh x6, x4, x4 + adcs x13, x13, x6 + mul x6, x5, x5 + adcs x14, x14, x6 + umulh x6, x5, x5 + adc x7, x7, x6 + mov x5, #0xffffffff00000001 + adds x9, x9, x8, lsl #32 + lsr x3, x8, #32 + adcs x10, x10, x3 + mul x2, x8, x5 + umulh x8, x8, x5 + adcs x11, x11, x2 + adc x8, x8, xzr + adds x10, x10, x9, lsl #32 + lsr x3, x9, #32 + adcs x11, x11, x3 + mul x2, x9, x5 + umulh x9, x9, x5 + adcs x8, x8, x2 + adc x9, x9, xzr + adds x11, x11, x10, lsl #32 + lsr x3, x10, #32 + adcs x8, x8, x3 + mul x2, x10, x5 + umulh x10, x10, x5 + adcs x9, x9, x2 + adc x10, x10, xzr + adds x8, x8, x11, lsl #32 + lsr x3, x11, #32 + adcs x9, x9, x3 + mul x2, x11, x5 + umulh x11, x11, x5 + adcs x10, x10, x2 + adc x11, x11, xzr + adds x8, x8, x12 + adcs x9, x9, x13 + adcs x10, x10, x14 + adcs x11, x11, x7 + cset x2, cs + mov x3, #0xffffffff + adds x12, x8, #0x1 + sbcs x13, x9, x3 + sbcs x14, x10, xzr + sbcs x7, x11, x5 + sbcs xzr, x2, xzr + csel x8, x8, x12, cc + csel x9, x9, x13, cc + csel x10, x10, x14, cc + csel x11, x11, x7, cc + stp x8, x9, [sp, #64] + stp x10, x11, [sp, #80] + mov x1, #0x9 + mov x2, #0xffffffffffffffff + ldp x9, x10, [sp, #160] + subs x9, x2, x9 + mov x2, #0xffffffff + sbcs x10, x2, x10 + ldp x11, x12, [sp, #176] + ngcs x11, x11 + mov x2, #0xffffffff00000001 + sbc x12, x2, x12 + mul x3, x1, x9 + mul x4, x1, x10 + mul x5, x1, x11 + mul x6, x1, x12 + umulh x9, x1, x9 + umulh x10, x1, x10 + umulh x11, x1, x11 + umulh x7, x1, x12 + adds x4, x4, x9 + adcs x5, x5, x10 + adcs x6, x6, x11 + adc x7, x7, xzr + mov x1, #0xc + ldp x9, x10, [sp, #128] + mul x8, x9, x1 + umulh x9, x9, x1 + adds x3, x3, x8 + mul x8, x10, x1 + umulh x10, x10, x1 + adcs x4, x4, x8 + ldp x11, x12, [sp, #144] + mul x8, x11, x1 + umulh x11, x11, x1 + adcs x5, x5, x8 + mul x8, x12, x1 + umulh x12, x12, x1 + adcs x6, x6, x8 + adc x7, x7, xzr + adds x4, x4, x9 + adcs x5, x5, x10 + adcs x6, x6, x11 + adc x7, x7, x12 + add x8, x7, #0x1 + lsl x10, x8, #32 + adds x6, x6, x10 + adc x7, x7, xzr + neg x9, x8 + sub x10, x10, #0x1 + subs x3, x3, x9 + sbcs x4, x4, x10 + sbcs x5, x5, xzr + sbcs x6, x6, x8 + sbc x8, x7, x8 + adds x3, x3, x8 + and x9, x8, #0xffffffff + adcs x4, x4, x9 + adcs x5, x5, xzr + neg x10, x9 + adc x6, x6, x10 + stp x3, x4, [sp, #160] + stp x5, x6, [sp, #176] + ldp x5, x6, [sp, #64] + ldp x4, x3, [sp] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #80] + ldp x4, x3, [sp, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + and x4, x3, #0xffffffff + adcs x6, x6, x4 + adcs x7, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x8, x8, x4 + stp x5, x6, [sp, #64] + stp x7, x8, [sp, #80] + ldp x2, x3, [sp, #32] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [sp, #48] + mul x11, x2, x5 + umulh x12, x2, x5 + mul x6, x2, x4 + umulh x7, x2, x4 + adds x10, x10, x6 + adcs x11, x11, x7 + mul x6, x3, x4 + umulh x7, x3, x4 + adc x7, x7, xzr + adds x11, x11, x6 + mul x13, x4, x5 + umulh x14, x4, x5 + adcs x12, x12, x7 + mul x6, x3, x5 + umulh x7, x3, x5 + adc x7, x7, xzr + adds x12, x12, x6 + adcs x13, x13, x7 + adc x14, x14, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + cset x7, cs + umulh x6, x2, x2 + mul x8, x2, x2 + adds x9, x9, x6 + mul x6, x3, x3 + adcs x10, x10, x6 + umulh x6, x3, x3 + adcs x11, x11, x6 + mul x6, x4, x4 + adcs x12, x12, x6 + umulh x6, x4, x4 + adcs x13, x13, x6 + mul x6, x5, x5 + adcs x14, x14, x6 + umulh x6, x5, x5 + adc x7, x7, x6 + mov x5, #0xffffffff00000001 + adds x9, x9, x8, lsl #32 + lsr x3, x8, #32 + adcs x10, x10, x3 + mul x2, x8, x5 + umulh x8, x8, x5 + adcs x11, x11, x2 + adc x8, x8, xzr + adds x10, x10, x9, lsl #32 + lsr x3, x9, #32 + adcs x11, x11, x3 + mul x2, x9, x5 + umulh x9, x9, x5 + adcs x8, x8, x2 + adc x9, x9, xzr + adds x11, x11, x10, lsl #32 + lsr x3, x10, #32 + adcs x8, x8, x3 + mul x2, x10, x5 + umulh x10, x10, x5 + adcs x9, x9, x2 + adc x10, x10, xzr + adds x8, x8, x11, lsl #32 + lsr x3, x11, #32 + adcs x9, x9, x3 + mul x2, x11, x5 + umulh x11, x11, x5 + adcs x10, x10, x2 + adc x11, x11, xzr + adds x8, x8, x12 + adcs x9, x9, x13 + adcs x10, x10, x14 + adcs x11, x11, x7 + cset x2, cs + mov x3, #0xffffffff + adds x12, x8, #0x1 + sbcs x13, x9, x3 + sbcs x14, x10, xzr + sbcs x7, x11, x5 + sbcs xzr, x2, xzr + csel x8, x8, x12, cc + csel x9, x9, x13, cc + csel x10, x10, x14, cc + csel x11, x11, x7, cc + stp x8, x9, [sp] + stp x10, x11, [sp, #16] + ldp x3, x4, [sp, #160] + ldp x7, x8, [sp, #96] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [sp, #112] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #176] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #96] + stp x14, x0, [sp, #112] + ldp x5, x6, [sp, #64] + ldp x4, x3, [sp, #32] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #80] + ldp x4, x3, [sp, #48] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + and x4, x3, #0xffffffff + adcs x6, x6, x4 + adcs x7, x7, xzr + and x4, x3, #0xffffffff00000001 + adc x8, x8, x4 + stp x5, x6, [x15, #64] + stp x7, x8, [x15, #80] + ldp x1, x2, [sp, #128] + lsl x0, x1, #2 + ldp x6, x7, [sp, #160] + subs x0, x0, x6 + extr x1, x2, x1, #62 + sbcs x1, x1, x7 + ldp x3, x4, [sp, #144] + extr x2, x3, x2, #62 + ldp x6, x7, [sp, #176] + sbcs x2, x2, x6 + extr x3, x4, x3, #62 + sbcs x3, x3, x7 + lsr x4, x4, #62 + sbc x4, x4, xzr + add x5, x4, #0x1 + lsl x8, x5, #32 + negs x6, x8 + ngcs x7, xzr + sbc x8, x8, x5 + adds x0, x0, x5 + adcs x1, x1, x6 + adcs x2, x2, x7 + adcs x3, x3, x8 + csetm x5, cc + adds x0, x0, x5 + and x6, x5, #0xffffffff + adcs x1, x1, x6 + adcs x2, x2, xzr + neg x7, x6 + adc x3, x3, x7 + stp x0, x1, [x15] + stp x2, x3, [x15, #16] + mov x1, #0x8 + mov x2, #0xffffffffffffffff + ldp x9, x10, [sp] + subs x9, x2, x9 + mov x2, #0xffffffff + sbcs x10, x2, x10 + ldp x11, x12, [sp, #16] + ngcs x11, x11 + mov x2, #0xffffffff00000001 + sbc x12, x2, x12 + lsl x3, x9, #3 + extr x4, x10, x9, #61 + extr x5, x11, x10, #61 + extr x6, x12, x11, #61 + lsr x7, x12, #61 + mov x1, #0x3 + ldp x9, x10, [sp, #96] + mul x8, x9, x1 + umulh x9, x9, x1 + adds x3, x3, x8 + mul x8, x10, x1 + umulh x10, x10, x1 + adcs x4, x4, x8 + ldp x11, x12, [sp, #112] + mul x8, x11, x1 + umulh x11, x11, x1 + adcs x5, x5, x8 + mul x8, x12, x1 + umulh x12, x12, x1 + adcs x6, x6, x8 + adc x7, x7, xzr + adds x4, x4, x9 + adcs x5, x5, x10 + adcs x6, x6, x11 + adc x7, x7, x12 + add x8, x7, #0x1 + lsl x10, x8, #32 + adds x6, x6, x10 + adc x7, x7, xzr + neg x9, x8 + sub x10, x10, #0x1 + subs x3, x3, x9 + sbcs x4, x4, x10 + sbcs x5, x5, xzr + sbcs x6, x6, x8 + sbc x8, x7, x8 + adds x3, x3, x8 + and x9, x8, #0xffffffff + adcs x4, x4, x9 + adcs x5, x5, xzr + neg x10, x9 + adc x6, x6, x10 + stp x3, x4, [x15, #32] + stp x5, x6, [x15, #48] + CFI_INC_SP(192) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmul_alt_local_p256_montjdouble) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmul_alt_local_p256_montjmixadd) + +Lp256_scalarmul_alt_local_p256_montjmixadd: + CFI_START + CFI_DEC_SP(192) + mov x15, x0 + mov x16, x1 + mov x17, x2 + ldp x2, x3, [x16, #64] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [x16, #80] + mul x11, x2, x5 + umulh x12, x2, x5 + mul x6, x2, x4 + umulh x7, x2, x4 + adds x10, x10, x6 + adcs x11, x11, x7 + mul x6, x3, x4 + umulh x7, x3, x4 + adc x7, x7, xzr + adds x11, x11, x6 + mul x13, x4, x5 + umulh x14, x4, x5 + adcs x12, x12, x7 + mul x6, x3, x5 + umulh x7, x3, x5 + adc x7, x7, xzr + adds x12, x12, x6 + adcs x13, x13, x7 + adc x14, x14, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + cset x7, cs + umulh x6, x2, x2 + mul x8, x2, x2 + adds x9, x9, x6 + mul x6, x3, x3 + adcs x10, x10, x6 + umulh x6, x3, x3 + adcs x11, x11, x6 + mul x6, x4, x4 + adcs x12, x12, x6 + umulh x6, x4, x4 + adcs x13, x13, x6 + mul x6, x5, x5 + adcs x14, x14, x6 + umulh x6, x5, x5 + adc x7, x7, x6 + adds x9, x9, x8, lsl #32 + lsr x3, x8, #32 + adcs x10, x10, x3 + mov x3, #0xffffffff00000001 + mul x2, x8, x3 + umulh x8, x8, x3 + adcs x11, x11, x2 + adc x8, x8, xzr + adds x10, x10, x9, lsl #32 + lsr x3, x9, #32 + adcs x11, x11, x3 + mov x3, #0xffffffff00000001 + mul x2, x9, x3 + umulh x9, x9, x3 + adcs x8, x8, x2 + adc x9, x9, xzr + adds x11, x11, x10, lsl #32 + lsr x3, x10, #32 + adcs x8, x8, x3 + mov x3, #0xffffffff00000001 + mul x2, x10, x3 + umulh x10, x10, x3 + adcs x9, x9, x2 + adc x10, x10, xzr + adds x8, x8, x11, lsl #32 + lsr x3, x11, #32 + adcs x9, x9, x3 + mov x3, #0xffffffff00000001 + mul x2, x11, x3 + umulh x11, x11, x3 + adcs x10, x10, x2 + adc x11, x11, xzr + adds x8, x8, x12 + adcs x9, x9, x13 + adcs x10, x10, x14 + adcs x11, x11, x7 + mov x2, #0xffffffffffffffff + csel x2, xzr, x2, cc + mov x3, #0xffffffff + csel x3, xzr, x3, cc + mov x5, #0xffffffff00000001 + csel x5, xzr, x5, cc + subs x8, x8, x2 + sbcs x9, x9, x3 + sbcs x10, x10, xzr + sbc x11, x11, x5 + stp x8, x9, [sp] + stp x10, x11, [sp, #16] + ldp x3, x4, [x16, #64] + ldp x7, x8, [x17, #32] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [x17, #48] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [x16, #80] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #32] + stp x14, x0, [sp, #48] + ldp x3, x4, [sp] + ldp x7, x8, [x17] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [x17, #16] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #16] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #64] + stp x14, x0, [sp, #80] + ldp x3, x4, [sp] + ldp x7, x8, [sp, #32] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [sp, #48] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #16] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #32] + stp x14, x0, [sp, #48] + ldp x5, x6, [sp, #64] + ldp x4, x3, [x16] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #80] + ldp x4, x3, [x16, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #160] + stp x7, x8, [sp, #176] + ldp x5, x6, [sp, #32] + ldp x4, x3, [x16, #32] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #48] + ldp x4, x3, [x16, #48] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #32] + stp x7, x8, [sp, #48] + ldp x2, x3, [sp, #160] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [sp, #176] + mul x11, x2, x5 + umulh x12, x2, x5 + mul x6, x2, x4 + umulh x7, x2, x4 + adds x10, x10, x6 + adcs x11, x11, x7 + mul x6, x3, x4 + umulh x7, x3, x4 + adc x7, x7, xzr + adds x11, x11, x6 + mul x13, x4, x5 + umulh x14, x4, x5 + adcs x12, x12, x7 + mul x6, x3, x5 + umulh x7, x3, x5 + adc x7, x7, xzr + adds x12, x12, x6 + adcs x13, x13, x7 + adc x14, x14, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + cset x7, cs + umulh x6, x2, x2 + mul x8, x2, x2 + adds x9, x9, x6 + mul x6, x3, x3 + adcs x10, x10, x6 + umulh x6, x3, x3 + adcs x11, x11, x6 + mul x6, x4, x4 + adcs x12, x12, x6 + umulh x6, x4, x4 + adcs x13, x13, x6 + mul x6, x5, x5 + adcs x14, x14, x6 + umulh x6, x5, x5 + adc x7, x7, x6 + adds x9, x9, x8, lsl #32 + lsr x3, x8, #32 + adcs x10, x10, x3 + mov x3, #0xffffffff00000001 + mul x2, x8, x3 + umulh x8, x8, x3 + adcs x11, x11, x2 + adc x8, x8, xzr + adds x10, x10, x9, lsl #32 + lsr x3, x9, #32 + adcs x11, x11, x3 + mov x3, #0xffffffff00000001 + mul x2, x9, x3 + umulh x9, x9, x3 + adcs x8, x8, x2 + adc x9, x9, xzr + adds x11, x11, x10, lsl #32 + lsr x3, x10, #32 + adcs x8, x8, x3 + mov x3, #0xffffffff00000001 + mul x2, x10, x3 + umulh x10, x10, x3 + adcs x9, x9, x2 + adc x10, x10, xzr + adds x8, x8, x11, lsl #32 + lsr x3, x11, #32 + adcs x9, x9, x3 + mov x3, #0xffffffff00000001 + mul x2, x11, x3 + umulh x11, x11, x3 + adcs x10, x10, x2 + adc x11, x11, xzr + adds x8, x8, x12 + adcs x9, x9, x13 + adcs x10, x10, x14 + adcs x11, x11, x7 + mov x2, #0xffffffffffffffff + csel x2, xzr, x2, cc + mov x3, #0xffffffff + csel x3, xzr, x3, cc + mov x5, #0xffffffff00000001 + csel x5, xzr, x5, cc + subs x8, x8, x2 + sbcs x9, x9, x3 + sbcs x10, x10, xzr + sbc x11, x11, x5 + stp x8, x9, [sp, #96] + stp x10, x11, [sp, #112] + ldp x2, x3, [sp, #32] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [sp, #48] + mul x11, x2, x5 + umulh x12, x2, x5 + mul x6, x2, x4 + umulh x7, x2, x4 + adds x10, x10, x6 + adcs x11, x11, x7 + mul x6, x3, x4 + umulh x7, x3, x4 + adc x7, x7, xzr + adds x11, x11, x6 + mul x13, x4, x5 + umulh x14, x4, x5 + adcs x12, x12, x7 + mul x6, x3, x5 + umulh x7, x3, x5 + adc x7, x7, xzr + adds x12, x12, x6 + adcs x13, x13, x7 + adc x14, x14, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + cset x7, cs + umulh x6, x2, x2 + mul x8, x2, x2 + adds x9, x9, x6 + mul x6, x3, x3 + adcs x10, x10, x6 + umulh x6, x3, x3 + adcs x11, x11, x6 + mul x6, x4, x4 + adcs x12, x12, x6 + umulh x6, x4, x4 + adcs x13, x13, x6 + mul x6, x5, x5 + adcs x14, x14, x6 + umulh x6, x5, x5 + adc x7, x7, x6 + adds x9, x9, x8, lsl #32 + lsr x3, x8, #32 + adcs x10, x10, x3 + mov x3, #0xffffffff00000001 + mul x2, x8, x3 + umulh x8, x8, x3 + adcs x11, x11, x2 + adc x8, x8, xzr + adds x10, x10, x9, lsl #32 + lsr x3, x9, #32 + adcs x11, x11, x3 + mov x3, #0xffffffff00000001 + mul x2, x9, x3 + umulh x9, x9, x3 + adcs x8, x8, x2 + adc x9, x9, xzr + adds x11, x11, x10, lsl #32 + lsr x3, x10, #32 + adcs x8, x8, x3 + mov x3, #0xffffffff00000001 + mul x2, x10, x3 + umulh x10, x10, x3 + adcs x9, x9, x2 + adc x10, x10, xzr + adds x8, x8, x11, lsl #32 + lsr x3, x11, #32 + adcs x9, x9, x3 + mov x3, #0xffffffff00000001 + mul x2, x11, x3 + umulh x11, x11, x3 + adcs x10, x10, x2 + adc x11, x11, xzr + adds x8, x8, x12 + adcs x9, x9, x13 + adcs x10, x10, x14 + adcs x11, x11, x7 + cset x2, cs + mov x3, #0xffffffff + mov x5, #0xffffffff00000001 + adds x12, x8, #0x1 + sbcs x13, x9, x3 + sbcs x14, x10, xzr + sbcs x7, x11, x5 + sbcs xzr, x2, xzr + csel x8, x8, x12, cc + csel x9, x9, x13, cc + csel x10, x10, x14, cc + csel x11, x11, x7, cc + stp x8, x9, [sp] + stp x10, x11, [sp, #16] + ldp x3, x4, [sp, #96] + ldp x7, x8, [x16] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [x16, #16] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #112] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #128] + stp x14, x0, [sp, #144] + ldp x3, x4, [sp, #96] + ldp x7, x8, [sp, #64] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [sp, #80] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #112] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #64] + stp x14, x0, [sp, #80] + ldp x5, x6, [sp] + ldp x4, x3, [sp, #128] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #16] + ldp x4, x3, [sp, #144] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp] + stp x7, x8, [sp, #16] + ldp x5, x6, [sp, #64] + ldp x4, x3, [sp, #128] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #80] + ldp x4, x3, [sp, #144] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #96] + stp x7, x8, [sp, #112] + ldp x3, x4, [sp, #160] + ldp x7, x8, [x16, #64] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [x16, #80] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #176] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #160] + stp x14, x0, [sp, #176] + ldp x5, x6, [sp] + ldp x4, x3, [sp, #64] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #16] + ldp x4, x3, [sp, #80] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp] + stp x7, x8, [sp, #16] + ldp x5, x6, [sp, #128] + ldp x4, x3, [sp] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #144] + ldp x4, x3, [sp, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #128] + stp x7, x8, [sp, #144] + ldp x3, x4, [sp, #96] + ldp x7, x8, [x16, #32] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [x16, #48] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #112] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #96] + stp x14, x0, [sp, #112] + ldp x3, x4, [sp, #32] + ldp x7, x8, [sp, #128] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [sp, #144] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #48] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #128] + stp x14, x0, [sp, #144] + ldp x5, x6, [sp, #128] + ldp x4, x3, [sp, #96] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #144] + ldp x4, x3, [sp, #112] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #128] + stp x7, x8, [sp, #144] + ldp x0, x1, [x16, #64] + ldp x2, x3, [x16, #80] + orr x4, x0, x1 + orr x5, x2, x3 + orr x4, x4, x5 + cmp x4, xzr + ldp x0, x1, [sp] + ldp x12, x13, [x17] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x2, x3, [sp, #16] + ldp x12, x13, [x17, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x4, x5, [sp, #128] + ldp x12, x13, [x17, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x6, x7, [sp, #144] + ldp x12, x13, [x17, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x8, x9, [sp, #160] + mov x12, #0x1 + mov x13, #0xffffffff00000000 + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x10, x11, [sp, #176] + mov x12, #0xffffffffffffffff + mov x13, #0xfffffffe + csel x10, x10, x12, ne + csel x11, x11, x13, ne + stp x0, x1, [x15] + stp x2, x3, [x15, #16] + stp x4, x5, [x15, #32] + stp x6, x7, [x15, #48] + stp x8, x9, [x15, #64] + stp x10, x11, [x15, #80] + CFI_INC_SP(192) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmul_alt_local_p256_montjmixadd) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/arm/p256_scalarmulbase.S b/cbits/s2n/arm/p256_scalarmulbase.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/p256_scalarmulbase.S @@ -0,0 +1,3782 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Scalar multiplication for precomputed point on NIST curve P-256 +// Input scalar[4], blocksize, table[]; output res[8] +// +// extern void p256_scalarmulbase +// (uint64_t res[static 8], +// const uint64_t scalar[static 4], +// uint64_t blocksize, +// const uint64_t *table); +// +// Given scalar = n and point = P, assumed to be on the NIST elliptic +// curve P-256, the input argument "table" is expected to be a table of +// multiples of the point P in Montgomery-affine form, with each block +// corresponding to "blocksize" bits of the scalar as follows, where +// B = 2^{blocksize-1} (e.g. B = 8 for blocksize = 4): +// +// For each i,j with blocksize * i <= 256 and 1 <= j <= B +// the multiple 2^{blocksize * i} * j * P is stored at +// tab[8 * (B * i + (j - 1))], considered as uint64_t pointers +// or tab + 64 * (B * i + (j - 1)) as byte pointers. +// +// Standard ARM ABI: X0 = res, X1 = scalar, X2 = blocksize, X3 = table +// ---------------------------------------------------------------------------- + + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p256_scalarmulbase) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p256_scalarmulbase) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p256_scalarmulbase) + + + .text + .balign 4 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Safe copies of inputs and additional variables, with some aliasing + +#define res x19 +#define blocksize x20 +#define table x21 +#define i x22 +#define bf x23 +#define cf x24 +#define j x25 + +// Intermediate variables on the stack. The last z2, z3 values can +// safely be overlaid on "nacc", which is no longer needed at the end. +// Uppercase syntactic variants make x86_att version simpler to generate + +#define rscalar sp, #(0*NUMSIZE) +#define acc sp, #(1*NUMSIZE) +#define nacc sp, #(4*NUMSIZE) +#define tabent sp, #(7*NUMSIZE) + +#define z2 sp, #(4*NUMSIZE) +#define z3 sp, #(5*NUMSIZE) + +#define NSPACE 9*NUMSIZE + +// Loading large constants + +#define movbig(nn,n3,n2,n1,n0) \ + movz nn, n0 __LF \ + movk nn, n1, lsl #16 __LF \ + movk nn, n2, lsl #32 __LF \ + movk nn, n3, lsl #48 + +S2N_BN_SYMBOL(p256_scalarmulbase): + CFI_START + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_PUSH2(x25,x30) + CFI_DEC_SP(NSPACE) + +// Preserve the input arguments except the scalar, since that gets absorbed +// immediately. The "table" value subsequently gets shifted up each iteration +// of the loop, while "res" and "blocksize" are static throughout. + + mov res, x0 + mov blocksize, x2 + mov table, x3 + +// Load the digits of group order n_256 = [x15;x14;x13;x12] + + movbig(x12, #0xf3b9, #0xcac2, #0xfc63, #0x2551) + movbig(x13, #0xbce6, #0xfaad, #0xa717, #0x9e84) + mov x14, #0xffffffffffffffff + mov x15, #0xffffffff00000000 + +// First, reduce the input scalar mod n_256, i.e. conditionally subtract n_256 +// Store it to "rscalar" (reduced scalar) + + ldp x2, x3, [x1] + ldp x4, x5, [x1, #16] + + subs x6, x2, x12 + sbcs x7, x3, x13 + sbcs x8, x4, x14 + sbcs x9, x5, x15 + + csel x2, x2, x6, cc + csel x3, x3, x7, cc + csel x4, x4, x8, cc + csel x5, x5, x9, cc + + stp x2, x3, [rscalar] + stp x4, x5, [rscalar+16] + +// Initialize the accumulator to all zeros and the "carry flag" cf to 0 + + stp xzr, xzr, [acc] + stp xzr, xzr, [acc+16] + stp xzr, xzr, [acc+32] + stp xzr, xzr, [acc+48] + stp xzr, xzr, [acc+64] + stp xzr, xzr, [acc+80] + mov cf, xzr + +// Main loop over {i >= 0 | blocksize * i <= 256}. Note the non-strict +// inequality, to allow top carry for any choices of blocksize. + + mov i, xzr + +Lp256_scalarmulbase_loop: + +// The next raw bitfield is bf = bitfield(blocksize * i,blocksize) + cf, +// adding in the deferred carry cf. We then shift the whole scalar right +// by blocksize so we can keep picking bitfield(0,blocksize). + + ldp x0, x1, [rscalar] + ldp x2, x3, [rscalar+16] + + mov x4, #1 + lsl x4, x4, blocksize + sub x4, x4, #1 + and x4, x4, x0 + add bf, x4, cf + + neg x8, blocksize + + lsl x5, x1, x8 + + lsr x0, x0, blocksize + orr x0, x0, x5 + + lsl x6, x2, x8 + lsr x1, x1, blocksize + orr x1, x1, x6 + + lsl x7, x3, x8 + lsr x2, x2, blocksize + orr x2, x2, x7 + + lsr x3, x3, blocksize + + stp x0, x1, [rscalar] + stp x2, x3, [rscalar+16] + +// Now if bf <= B we just select entry j, unnegated and set cf = 0. +// If bf > B we set j = 2 * B - bf and negate the j'th entry, setting cf = 1. +// In either case we ultimately add bf, in the latter case with deferred +// carry as 2 * B - (2 * B - bf) = bf. + + mov x0, #1 + lsl x1, x0, blocksize + lsr x0, x1, #1 + + sub x2, x1, bf + + cmp x0, bf + cset cf, cc + csel j, x2, bf, cc + +// Load table entry j - 1 for nonzero j in constant-time style. + + mov x16, #1 + lsl x16, x16, blocksize + lsr x16, x16, #1 + mov x17, j + +Lp256_scalarmulbase_tabloop: + ldp x8, x9, [table] + ldp x10, x11, [table, #16] + ldp x12, x13, [table, #32] + ldp x14, x15, [table, #48] + + subs x17, x17, #1 + csel x0, x8, x0, eq + csel x1, x9, x1, eq + csel x2, x10, x2, eq + csel x3, x11, x3, eq + csel x4, x12, x4, eq + csel x5, x13, x5, eq + csel x6, x14, x6, eq + csel x7, x15, x7, eq + + add table, table, #64 + + sub x16, x16, #1 + cbnz x16, Lp256_scalarmulbase_tabloop + +// Before storing back, optionally negate the y coordinate of the table entry + + stp x0, x1, [tabent] + stp x2, x3, [tabent+16] + + mov x0, 0xffffffffffffffff + subs x0, x0, x4 + mov x1, 0x00000000ffffffff + sbcs x1, x1, x5 + mov x3, 0xffffffff00000001 + sbcs x2, xzr, x6 + sbc x3, x3, x7 + + cmp cf, xzr + csel x4, x0, x4, ne + csel x5, x1, x5, ne + csel x6, x2, x6, ne + csel x7, x3, x7, ne + + stp x4, x5, [tabent+32] + stp x6, x7, [tabent+48] + +// Add the adjusted table point to the accumulator + + add x0, nacc + add x1, acc + add x2, tabent + CFI_BL(Lp256_scalarmulbase_local_p256_montjmixadd) + +// However, only commit that update to the accumulator if j is nonzero, +// because the mixed addition function does not handle this case directly, +// and in any case we didn't choose the table entry appropriately. + + cmp j, xzr + ldp x0, x1, [acc] + ldp x12, x13, [nacc] + csel x0, x12, x0, ne + csel x1, x13, x1, ne + + ldp x2, x3, [acc+16] + ldp x12, x13, [nacc+16] + csel x2, x12, x2, ne + csel x3, x13, x3, ne + + ldp x4, x5, [acc+32] + ldp x12, x13, [nacc+32] + csel x4, x12, x4, ne + csel x5, x13, x5, ne + + ldp x6, x7, [acc+48] + ldp x12, x13, [nacc+48] + csel x6, x12, x6, ne + csel x7, x13, x7, ne + + ldp x8, x9, [acc+64] + ldp x12, x13, [nacc+64] + csel x8, x12, x8, ne + csel x9, x13, x9, ne + + ldp x10, x11, [acc+80] + ldp x12, x13, [nacc+80] + csel x10, x12, x10, ne + csel x11, x13, x11, ne + + stp x0, x1, [acc] + stp x2, x3, [acc+16] + stp x4, x5, [acc+32] + stp x6, x7, [acc+48] + stp x8, x9, [acc+64] + stp x10, x11, [acc+80] + +// Loop while blocksize * i <= 256 + + add i, i, #1 + mul x0, blocksize, i + cmp x0, #257 + bcc Lp256_scalarmulbase_loop + +// That's the end of the main loop, and we just need to translate +// back from the Jacobian representation to affine. First of all, +// let z2 = 1/z^2 and z3 = 1/z^3, both without Montgomery form + + add x0, z2 + add x1, acc+64 + CFI_BL(Lp256_scalarmulbase_local_montsqr_p256) + + add x0, z3 + add x1, acc+64 + add x2, z2 + CFI_BL(Lp256_scalarmulbase_local_montmul_p256) + + add x0, z2 + add x1, z3 + CFI_BL(Lp256_scalarmulbase_local_demont_p256) + + add x0, z3 + add x1, z2 + CFI_BL(Lp256_scalarmulbase_local_inv_p256) + + add x0, z2 + add x1, acc+64 + add x2, z3 + CFI_BL(Lp256_scalarmulbase_local_montmul_p256) + +// Convert back from Jacobian (X,Y,Z) |-> (X/Z^2, Y/Z^3) + + mov x0, res + add x1, acc + add x2, z2 + CFI_BL(Lp256_scalarmulbase_local_montmul_p256) + + add x0, res, #32 + add x1, acc+32 + add x2, z3 + CFI_BL(Lp256_scalarmulbase_local_montmul_p256) + +// Restore stack and registers and return + + CFI_INC_SP(NSPACE) + CFI_POP2(x25,x30) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p256_scalarmulbase) + +// Local copies of subroutines, complete clones at the moment + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_local_demont_p256) + +Lp256_scalarmulbase_local_demont_p256: + CFI_START + ldp x2, x3, [x1] + ldp x4, x5, [x1, #16] + lsl x7, x2, #32 + subs x8, x2, x7 + lsr x6, x2, #32 + sbc x2, x2, x6 + adds x3, x3, x7 + adcs x4, x4, x6 + adcs x5, x5, x8 + adc x2, x2, xzr + lsl x7, x3, #32 + subs x8, x3, x7 + lsr x6, x3, #32 + sbc x3, x3, x6 + adds x4, x4, x7 + adcs x5, x5, x6 + adcs x2, x2, x8 + adc x3, x3, xzr + lsl x7, x4, #32 + subs x8, x4, x7 + lsr x6, x4, #32 + sbc x4, x4, x6 + adds x5, x5, x7 + adcs x2, x2, x6 + adcs x3, x3, x8 + adc x4, x4, xzr + lsl x7, x5, #32 + subs x8, x5, x7 + lsr x6, x5, #32 + sbc x5, x5, x6 + adds x2, x2, x7 + adcs x3, x3, x6 + adcs x4, x4, x8 + adc x5, x5, xzr + stp x2, x3, [x0] + stp x4, x5, [x0, #16] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_local_demont_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_local_inv_p256) + +Lp256_scalarmulbase_local_inv_p256: + CFI_START + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_DEC_SP(160) + mov x20, x0 + mov x10, #0xffffffffffffffff + mov x11, #0xffffffff + mov x13, #0xffffffff00000001 + stp x10, x11, [sp] + stp xzr, x13, [sp, #16] + str xzr, [sp, #32] + ldp x2, x3, [x1] + subs x10, x2, x10 + sbcs x11, x3, x11 + ldp x4, x5, [x1, #16] + sbcs x12, x4, xzr + sbcs x13, x5, x13 + csel x2, x2, x10, cc + csel x3, x3, x11, cc + csel x4, x4, x12, cc + csel x5, x5, x13, cc + stp x2, x3, [sp, #48] + stp x4, x5, [sp, #64] + str xzr, [sp, #80] + stp xzr, xzr, [sp, #96] + stp xzr, xzr, [sp, #112] + mov x10, #0x4000000000000 + stp x10, xzr, [sp, #128] + stp xzr, xzr, [sp, #144] + mov x21, #0xa + mov x22, #0x1 + b Lp256_scalarmulbase_inv_midloop +Lp256_scalarmulbase_inv_loop: + cmp x10, xzr + csetm x14, mi + cneg x10, x10, mi + cmp x11, xzr + csetm x15, mi + cneg x11, x11, mi + cmp x12, xzr + csetm x16, mi + cneg x12, x12, mi + cmp x13, xzr + csetm x17, mi + cneg x13, x13, mi + and x0, x10, x14 + and x1, x11, x15 + add x9, x0, x1 + and x0, x12, x16 + and x1, x13, x17 + add x19, x0, x1 + ldr x7, [sp] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #48] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + adc x2, x2, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x5, x19, x0 + adc x3, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x7, [sp, #8] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #56] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + adc x6, x6, x1 + extr x4, x2, x4, #59 + str x4, [sp] + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x3, x3, x0 + adc x4, x4, x1 + extr x5, x3, x5, #59 + str x5, [sp, #48] + ldr x7, [sp, #16] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #64] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + adc x5, x5, x1 + extr x2, x6, x2, #59 + str x2, [sp, #8] + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x4, x4, x0 + adc x2, x2, x1 + extr x3, x4, x3, #59 + str x3, [sp, #56] + ldr x7, [sp, #24] + eor x1, x7, x14 + ldr x23, [sp, #32] + eor x3, x23, x14 + and x3, x3, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #72] + eor x1, x8, x15 + ldr x24, [sp, #80] + eor x0, x24, x15 + and x0, x0, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x5, x6, #59 + str x6, [sp, #16] + extr x5, x3, x5, #59 + str x5, [sp, #24] + asr x3, x3, #59 + str x3, [sp, #32] + eor x1, x7, x16 + eor x5, x23, x16 + and x5, x5, x12 + neg x5, x5 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, x17 + eor x0, x24, x17 + and x0, x0, x13 + sub x5, x5, x0 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x2, x2, x0 + adc x5, x5, x1 + extr x4, x2, x4, #59 + str x4, [sp, #64] + extr x2, x5, x2, #59 + str x2, [sp, #72] + asr x5, x5, #59 + str x5, [sp, #80] + ldr x7, [sp, #96] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #128] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + str x4, [sp, #96] + adc x2, x2, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x5, x19, x0 + adc x3, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x5, x5, x0 + str x5, [sp, #128] + adc x3, x3, x1 + ldr x7, [sp, #104] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #136] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + str x2, [sp, #104] + adc x6, x6, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x3, x3, x0 + str x3, [sp, #136] + adc x4, x4, x1 + ldr x7, [sp, #112] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #144] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + str x6, [sp, #112] + adc x5, x5, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x4, x4, x0 + str x4, [sp, #144] + adc x2, x2, x1 + ldr x7, [sp, #120] + eor x1, x7, x14 + and x3, x14, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #152] + eor x1, x8, x15 + and x0, x15, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + ldp x0, x1, [sp, #96] + ldr x6, [sp, #112] + mov x14, #0xe000000000000000 + adds x0, x0, x14 + sbcs x1, x1, xzr + mov x11, #0x1fffffff + adcs x6, x6, x11 + mov x10, #0x2000000000000000 + adcs x5, x5, x10 + mov x14, #0x1fffffffe0000000 + adc x3, x3, x14 + lsl x11, x0, #32 + subs x14, x0, x11 + lsr x10, x0, #32 + sbc x0, x0, x10 + adds x1, x1, x11 + adcs x6, x6, x10 + adcs x5, x5, x14 + adcs x3, x3, x0 + mov x14, #0xffffffffffffffff + mov x11, #0xffffffff + mov x10, #0xffffffff00000001 + csel x14, x14, xzr, cs + csel x11, x11, xzr, cs + csel x10, x10, xzr, cs + subs x1, x1, x14 + sbcs x6, x6, x11 + sbcs x5, x5, xzr + sbc x3, x3, x10 + stp x1, x6, [sp, #96] + stp x5, x3, [sp, #112] + eor x1, x7, x16 + and x5, x16, x12 + neg x5, x5 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, x17 + and x0, x17, x13 + sub x5, x5, x0 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x2, x2, x0 + adc x5, x5, x1 + ldp x0, x1, [sp, #128] + ldr x3, [sp, #144] + mov x14, #0xe000000000000000 + adds x0, x0, x14 + sbcs x1, x1, xzr + mov x11, #0x1fffffff + adcs x3, x3, x11 + mov x10, #0x2000000000000000 + adcs x2, x2, x10 + mov x14, #0x1fffffffe0000000 + adc x5, x5, x14 + lsl x11, x0, #32 + subs x14, x0, x11 + lsr x10, x0, #32 + sbc x0, x0, x10 + adds x1, x1, x11 + adcs x3, x3, x10 + adcs x2, x2, x14 + adcs x5, x5, x0 + mov x14, #0xffffffffffffffff + mov x11, #0xffffffff + mov x10, #0xffffffff00000001 + csel x14, x14, xzr, cs + csel x11, x11, xzr, cs + csel x10, x10, xzr, cs + subs x1, x1, x14 + sbcs x3, x3, x11 + sbcs x2, x2, xzr + sbc x5, x5, x10 + stp x1, x3, [sp, #128] + stp x2, x5, [sp, #144] +Lp256_scalarmulbase_inv_midloop: + mov x1, x22 + ldr x2, [sp] + ldr x3, [sp, #48] + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x8, x4, #0x100, lsl #12 + sbfx x8, x8, #21, #21 + mov x11, #0x100000 + add x11, x11, x11, lsl #21 + add x9, x4, x11 + asr x9, x9, #42 + add x10, x5, #0x100, lsl #12 + sbfx x10, x10, #21, #21 + add x11, x5, x11 + asr x11, x11, #42 + mul x6, x8, x2 + mul x7, x9, x3 + mul x2, x10, x2 + mul x3, x11, x3 + add x4, x6, x7 + add x5, x2, x3 + asr x2, x4, #20 + asr x3, x5, #20 + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x12, x4, #0x100, lsl #12 + sbfx x12, x12, #21, #21 + mov x15, #0x100000 + add x15, x15, x15, lsl #21 + add x13, x4, x15 + asr x13, x13, #42 + add x14, x5, #0x100, lsl #12 + sbfx x14, x14, #21, #21 + add x15, x5, x15 + asr x15, x15, #42 + mul x6, x12, x2 + mul x7, x13, x3 + mul x2, x14, x2 + mul x3, x15, x3 + add x4, x6, x7 + add x5, x2, x3 + asr x2, x4, #20 + asr x3, x5, #20 + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + mul x2, x12, x8 + mul x3, x12, x9 + mul x6, x14, x8 + mul x7, x14, x9 + madd x8, x13, x10, x2 + madd x9, x13, x11, x3 + madd x16, x15, x10, x6 + madd x17, x15, x11, x7 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x12, x4, #0x100, lsl #12 + sbfx x12, x12, #22, #21 + mov x15, #0x100000 + add x15, x15, x15, lsl #21 + add x13, x4, x15 + asr x13, x13, #43 + add x14, x5, #0x100, lsl #12 + sbfx x14, x14, #22, #21 + add x15, x5, x15 + asr x15, x15, #43 + mneg x2, x12, x8 + mneg x3, x12, x9 + mneg x4, x14, x8 + mneg x5, x14, x9 + msub x10, x13, x16, x2 + msub x11, x13, x17, x3 + msub x12, x15, x16, x4 + msub x13, x15, x17, x5 + mov x22, x1 + subs x21, x21, #0x1 + bne Lp256_scalarmulbase_inv_loop + ldr x0, [sp] + ldr x1, [sp, #48] + mul x0, x0, x10 + madd x1, x1, x11, x0 + asr x0, x1, #63 + cmp x10, xzr + csetm x14, mi + cneg x10, x10, mi + eor x14, x14, x0 + cmp x11, xzr + csetm x15, mi + cneg x11, x11, mi + eor x15, x15, x0 + cmp x12, xzr + csetm x16, mi + cneg x12, x12, mi + eor x16, x16, x0 + cmp x13, xzr + csetm x17, mi + cneg x13, x13, mi + eor x17, x17, x0 + and x0, x10, x14 + and x1, x11, x15 + add x9, x0, x1 + ldr x7, [sp, #96] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #128] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + str x4, [sp, #96] + adc x2, x2, x1 + ldr x7, [sp, #104] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #136] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + str x2, [sp, #104] + adc x6, x6, x1 + ldr x7, [sp, #112] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #144] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + str x6, [sp, #112] + adc x5, x5, x1 + ldr x7, [sp, #120] + eor x1, x7, x14 + and x3, x14, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #152] + eor x1, x8, x15 + and x0, x15, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + ldp x0, x1, [sp, #96] + ldr x2, [sp, #112] + mov x14, #0xe000000000000000 + adds x0, x0, x14 + sbcs x1, x1, xzr + mov x11, #0x1fffffff + adcs x2, x2, x11 + mov x10, #0x2000000000000000 + adcs x5, x5, x10 + mov x14, #0x1fffffffe0000000 + adc x3, x3, x14 + lsl x11, x0, #32 + subs x14, x0, x11 + lsr x10, x0, #32 + sbc x0, x0, x10 + adds x1, x1, x11 + adcs x2, x2, x10 + adcs x5, x5, x14 + adcs x3, x3, x0 + mov x14, #0xffffffffffffffff + mov x11, #0xffffffff + mov x10, #0xffffffff00000001 + csel x14, x14, xzr, cs + csel x11, x11, xzr, cs + csel x10, x10, xzr, cs + subs x1, x1, x14 + sbcs x2, x2, x11 + sbcs x5, x5, xzr + sbc x3, x3, x10 + mov x10, #0xffffffffffffffff + subs x10, x1, x10 + mov x11, #0xffffffff + sbcs x11, x2, x11 + mov x13, #0xffffffff00000001 + sbcs x12, x5, xzr + sbcs x13, x3, x13 + csel x10, x1, x10, cc + csel x11, x2, x11, cc + csel x12, x5, x12, cc + csel x13, x3, x13, cc + stp x10, x11, [x20] + stp x12, x13, [x20, #16] + CFI_INC_SP(160) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_local_inv_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_local_montmul_p256) + +Lp256_scalarmulbase_local_montmul_p256: + CFI_START + ldr q20, [x2] + ldp x7, x17, [x1] + ldr q0, [x1] + ldp x6, x10, [x2] + ldp x11, x15, [x1, #16] + rev64 v16.4S, v20.4S + subs x4, x7, x17 + csetm x3, cc + cneg x13, x4, cc + mul v16.4S, v16.4S, v0.4S + umulh x12, x17, x10 + uzp1 v28.4S, v20.4S, v0.4S + subs x14, x11, x7 + ldr q20, [x2, #16] + sbcs x5, x15, x17 + ngc x17, xzr + subs x8, x11, x15 + uaddlp v27.2D, v16.4S + umulh x4, x7, x6 + uzp1 v21.4S, v0.4S, v0.4S + cneg x11, x8, cc + shl v17.2D, v27.2D, #32 + csetm x15, cc + subs x9, x10, x6 + eor x7, x14, x17 + umlal v17.2D, v21.2S, v28.2S + cneg x8, x9, cc + cinv x9, x3, cc + cmn x17, #0x1 + ldr q28, [x1, #16] + adcs x14, x7, xzr + mul x7, x13, x8 + eor x1, x5, x17 + adcs x5, x1, xzr + xtn v1.2S, v20.2D + mov x1, v17.d[0] + mov x3, v17.d[1] + uzp2 v16.4S, v20.4S, v20.4S + umulh x16, x13, x8 + eor x13, x7, x9 + adds x8, x1, x3 + adcs x7, x4, x12 + xtn v0.2S, v28.2D + adcs x12, x12, xzr + adds x8, x4, x8 + adcs x3, x3, x7 + ldp x7, x2, [x2, #16] + adcs x12, x12, xzr + cmn x9, #0x1 + adcs x8, x8, x13 + eor x13, x16, x9 + adcs x16, x3, x13 + lsl x3, x1, #32 + adc x13, x12, x9 + subs x12, x6, x7 + sbcs x9, x10, x2 + lsr x10, x1, #32 + ngc x4, xzr + subs x6, x2, x7 + cinv x2, x15, cc + cneg x6, x6, cc + subs x7, x1, x3 + eor x9, x9, x4 + sbc x1, x1, x10 + adds x15, x8, x3 + adcs x3, x16, x10 + mul x16, x11, x6 + adcs x8, x13, x7 + eor x13, x12, x4 + adc x10, x1, xzr + cmn x4, #0x1 + umulh x6, x11, x6 + adcs x11, x13, xzr + adcs x1, x9, xzr + lsl x13, x15, #32 + subs x12, x15, x13 + lsr x7, x15, #32 + sbc x15, x15, x7 + adds x9, x3, x13 + adcs x3, x8, x7 + umulh x8, x14, x11 + umull v21.2D, v0.2S, v1.2S + adcs x12, x10, x12 + umull v3.2D, v0.2S, v16.2S + adc x15, x15, xzr + rev64 v24.4S, v20.4S + stp x12, x15, [x0, #16] + movi v2.2D, #0x00000000ffffffff + mul x10, x14, x11 + mul v4.4S, v24.4S, v28.4S + subs x13, x14, x5 + uzp2 v19.4S, v28.4S, v28.4S + csetm x15, cc + usra v3.2D, v21.2D, #32 + mul x7, x5, x1 + umull v21.2D, v19.2S, v16.2S + cneg x13, x13, cc + uaddlp v5.2D, v4.4S + subs x11, x1, x11 + and v16.16B, v3.16B, v2.16B + umulh x5, x5, x1 + shl v24.2D, v5.2D, #32 + cneg x11, x11, cc + umlal v16.2D, v19.2S, v1.2S + cinv x12, x15, cc + umlal v24.2D, v0.2S, v1.2S + adds x15, x10, x7 + mul x14, x13, x11 + eor x1, x6, x2 + adcs x6, x8, x5 + stp x9, x3, [x0] + usra v21.2D, v3.2D, #32 + adcs x9, x5, xzr + umulh x11, x13, x11 + adds x15, x8, x15 + adcs x7, x7, x6 + eor x8, x14, x12 + usra v21.2D, v16.2D, #32 + adcs x13, x9, xzr + cmn x12, #0x1 + mov x9, v24.d[1] + adcs x14, x15, x8 + eor x6, x11, x12 + adcs x6, x7, x6 + mov x5, v24.d[0] + mov x11, v21.d[1] + mov x7, v21.d[0] + adc x3, x13, x12 + adds x12, x5, x9 + adcs x13, x7, x11 + ldp x15, x8, [x0] + adcs x11, x11, xzr + adds x12, x7, x12 + eor x16, x16, x2 + adcs x7, x9, x13 + adcs x11, x11, xzr + cmn x2, #0x1 + ldp x9, x13, [x0, #16] + adcs x16, x12, x16 + adcs x1, x7, x1 + adc x2, x11, x2 + adds x7, x5, x15 + adcs x15, x16, x8 + eor x5, x17, x4 + adcs x9, x1, x9 + eor x1, x10, x5 + adcs x16, x2, x13 + adc x2, xzr, xzr + cmn x5, #0x1 + eor x13, x14, x5 + adcs x14, x1, x7 + eor x1, x6, x5 + adcs x6, x13, x15 + adcs x10, x1, x9 + eor x4, x3, x5 + mov x1, #0xffffffff + adcs x8, x4, x16 + lsr x13, x14, #32 + adcs x17, x2, x5 + adcs x11, x5, xzr + adc x4, x5, xzr + adds x12, x10, x7 + adcs x7, x8, x15 + adcs x5, x17, x9 + adcs x9, x11, x16 + lsl x11, x14, #32 + adc x10, x4, x2 + subs x17, x14, x11 + sbc x4, x14, x13 + adds x11, x6, x11 + adcs x12, x12, x13 + lsl x15, x11, #32 + adcs x17, x7, x17 + lsr x7, x11, #32 + adc x13, x4, xzr + subs x4, x11, x15 + sbc x11, x11, x7 + adds x8, x12, x15 + adcs x15, x17, x7 + adcs x4, x13, x4 + adc x11, x11, xzr + adds x7, x5, x4 + adcs x17, x9, x11 + adc x13, x10, xzr + add x12, x13, #0x1 + neg x11, x12 + lsl x4, x12, #32 + adds x17, x17, x4 + sub x4, x4, #0x1 + adc x13, x13, xzr + subs x11, x8, x11 + sbcs x4, x15, x4 + sbcs x7, x7, xzr + sbcs x17, x17, x12 + sbcs x13, x13, x12 + mov x12, #0xffffffff00000001 + adds x11, x11, x13 + and x1, x1, x13 + adcs x4, x4, x1 + and x1, x12, x13 + stp x11, x4, [x0] + adcs x4, x7, xzr + adc x1, x17, x1 + stp x4, x1, [x0, #16] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_local_montmul_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_local_montsqr_p256) + +Lp256_scalarmulbase_local_montsqr_p256: + CFI_START + ldr q19, [x1] + ldp x9, x13, [x1] + ldr q23, [x1, #16] + ldr q0, [x1] + ldp x1, x10, [x1, #16] + uzp2 v29.4S, v19.4S, v19.4S + xtn v4.2S, v19.2D + umulh x8, x9, x13 + rev64 v20.4S, v23.4S + umull v16.2D, v19.2S, v19.2S + umull v1.2D, v29.2S, v4.2S + mul v20.4S, v20.4S, v0.4S + subs x14, x9, x13 + umulh x15, x9, x1 + mov x16, v16.d[1] + umull2 v4.2D, v19.4S, v19.4S + mov x4, v16.d[0] + uzp1 v17.4S, v23.4S, v0.4S + uaddlp v19.2D, v20.4S + lsr x7, x8, #63 + mul x11, x9, x13 + mov x12, v1.d[0] + csetm x5, cc + cneg x6, x14, cc + mov x3, v4.d[1] + mov x14, v4.d[0] + subs x2, x10, x1 + mov x9, v1.d[1] + cneg x17, x2, cc + cinv x2, x5, cc + adds x5, x4, x12, lsl #33 + extr x4, x8, x11, #63 + lsr x8, x12, #31 + uzp1 v20.4S, v0.4S, v0.4S + shl v19.2D, v19.2D, #32 + adc x16, x16, x8 + adds x8, x14, x9, lsl #33 + lsr x14, x9, #31 + lsl x9, x5, #32 + umlal v19.2D, v20.2S, v17.2S + adc x14, x3, x14 + adds x16, x16, x11, lsl #1 + lsr x3, x5, #32 + umulh x12, x6, x17 + adcs x4, x8, x4 + adc x11, x14, x7 + subs x8, x5, x9 + sbc x5, x5, x3 + adds x16, x16, x9 + mov x14, v19.d[0] + mul x17, x6, x17 + adcs x3, x4, x3 + lsl x7, x16, #32 + umulh x13, x13, x10 + adcs x11, x11, x8 + lsr x8, x16, #32 + adc x5, x5, xzr + subs x9, x16, x7 + sbc x16, x16, x8 + adds x7, x3, x7 + mov x3, v19.d[1] + adcs x6, x11, x8 + umulh x11, x1, x10 + adcs x5, x5, x9 + eor x8, x12, x2 + adc x9, x16, xzr + adds x16, x14, x15 + adc x15, x15, xzr + adds x12, x16, x3 + eor x16, x17, x2 + mul x4, x1, x10 + adcs x15, x15, x13 + adc x17, x13, xzr + adds x15, x15, x3 + adc x3, x17, xzr + cmn x2, #0x1 + mul x17, x10, x10 + adcs x12, x12, x16 + adcs x16, x15, x8 + umulh x10, x10, x10 + adc x2, x3, x2 + adds x14, x14, x14 + adcs x12, x12, x12 + adcs x16, x16, x16 + adcs x2, x2, x2 + adc x15, xzr, xzr + adds x14, x14, x7 + mul x3, x1, x1 + adcs x12, x12, x6 + lsr x7, x14, #32 + adcs x16, x16, x5 + lsl x5, x14, #32 + umulh x13, x1, x1 + adcs x2, x2, x9 + mov x6, #0xffffffff + adc x15, x15, xzr + adds x8, x4, x4 + adcs x1, x11, x11 + mov x11, #0xffffffff00000001 + adc x4, xzr, xzr + subs x9, x14, x5 + sbc x14, x14, x7 + adds x12, x12, x5 + adcs x16, x16, x7 + lsl x5, x12, #32 + lsr x7, x12, #32 + adcs x2, x2, x9 + adcs x14, x15, x14 + adc x15, xzr, xzr + subs x9, x12, x5 + sbc x12, x12, x7 + adds x16, x16, x5 + adcs x2, x2, x7 + adcs x14, x14, x9 + adcs x12, x15, x12 + adc x15, xzr, xzr + adds x16, x16, x3 + adcs x2, x2, x13 + adcs x14, x14, x17 + adcs x12, x12, x10 + adc x15, x15, xzr + adds x2, x2, x8 + adcs x14, x14, x1 + adcs x12, x12, x4 + adcs x15, x15, xzr + adds x3, x16, #0x1 + sbcs x5, x2, x6 + sbcs x8, x14, xzr + sbcs x11, x12, x11 + sbcs xzr, x15, xzr + csel x16, x3, x16, cs + csel x14, x8, x14, cs + csel x12, x11, x12, cs + csel x2, x5, x2, cs + stp x14, x12, [x0, #16] + stp x16, x2, [x0] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_local_montsqr_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_local_p256_montjmixadd) + +Lp256_scalarmulbase_local_p256_montjmixadd: + CFI_START + CFI_PUSH2(x19,x20) + CFI_DEC_SP(192) + mov x17, x0 + mov x19, x1 + mov x20, x2 + ldp x2, x3, [x19, #64] + ldp x4, x5, [x19, #80] + umull x15, w2, w2 + lsr x11, x2, #32 + umull x16, w11, w11 + umull x11, w2, w11 + adds x15, x15, x11, lsl #33 + lsr x11, x11, #31 + adc x16, x16, x11 + umull x0, w3, w3 + lsr x11, x3, #32 + umull x1, w11, w11 + umull x11, w3, w11 + mul x12, x2, x3 + umulh x13, x2, x3 + adds x0, x0, x11, lsl #33 + lsr x11, x11, #31 + adc x1, x1, x11 + adds x12, x12, x12 + adcs x13, x13, x13 + adc x1, x1, xzr + adds x16, x16, x12 + adcs x0, x0, x13 + adc x1, x1, xzr + lsl x12, x15, #32 + subs x13, x15, x12 + lsr x11, x15, #32 + sbc x15, x15, x11 + adds x16, x16, x12 + adcs x0, x0, x11 + adcs x1, x1, x13 + adc x15, x15, xzr + lsl x12, x16, #32 + subs x13, x16, x12 + lsr x11, x16, #32 + sbc x16, x16, x11 + adds x0, x0, x12 + adcs x1, x1, x11 + adcs x15, x15, x13 + adc x16, x16, xzr + mul x6, x2, x4 + mul x14, x3, x5 + umulh x8, x2, x4 + subs x10, x2, x3 + cneg x10, x10, cc + csetm x13, cc + subs x12, x5, x4 + cneg x12, x12, cc + mul x11, x10, x12 + umulh x12, x10, x12 + cinv x13, x13, cc + eor x11, x11, x13 + eor x12, x12, x13 + adds x7, x6, x8 + adc x8, x8, xzr + umulh x9, x3, x5 + adds x7, x7, x14 + adcs x8, x8, x9 + adc x9, x9, xzr + adds x8, x8, x14 + adc x9, x9, xzr + cmn x13, #0x1 + adcs x7, x7, x11 + adcs x8, x8, x12 + adc x9, x9, x13 + adds x6, x6, x6 + adcs x7, x7, x7 + adcs x8, x8, x8 + adcs x9, x9, x9 + adc x10, xzr, xzr + adds x6, x6, x0 + adcs x7, x7, x1 + adcs x8, x8, x15 + adcs x9, x9, x16 + adc x10, x10, xzr + lsl x12, x6, #32 + subs x13, x6, x12 + lsr x11, x6, #32 + sbc x6, x6, x11 + adds x7, x7, x12 + adcs x8, x8, x11 + adcs x9, x9, x13 + adcs x10, x10, x6 + adc x6, xzr, xzr + lsl x12, x7, #32 + subs x13, x7, x12 + lsr x11, x7, #32 + sbc x7, x7, x11 + adds x8, x8, x12 + adcs x9, x9, x11 + adcs x10, x10, x13 + adcs x6, x6, x7 + adc x7, xzr, xzr + mul x11, x4, x4 + adds x8, x8, x11 + mul x12, x5, x5 + umulh x11, x4, x4 + adcs x9, x9, x11 + adcs x10, x10, x12 + umulh x12, x5, x5 + adcs x6, x6, x12 + adc x7, x7, xzr + mul x11, x4, x5 + umulh x12, x4, x5 + adds x11, x11, x11 + adcs x12, x12, x12 + adc x13, xzr, xzr + adds x9, x9, x11 + adcs x10, x10, x12 + adcs x6, x6, x13 + adcs x7, x7, xzr + mov x11, #0xffffffff + adds x5, x8, #0x1 + sbcs x11, x9, x11 + mov x13, #0xffffffff00000001 + sbcs x12, x10, xzr + sbcs x13, x6, x13 + sbcs xzr, x7, xzr + csel x8, x5, x8, cs + csel x9, x11, x9, cs + csel x10, x12, x10, cs + csel x6, x13, x6, cs + stp x8, x9, [sp] + stp x10, x6, [sp, #16] + ldp x3, x4, [x19, #64] + ldp x5, x6, [x19, #80] + ldp x7, x8, [x20, #32] + ldp x9, x10, [x20, #48] + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x3, x4 + cneg x15, x15, cc + csetm x1, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + stp x13, x14, [sp, #32] + stp x11, x12, [sp, #48] + mul x11, x5, x9 + mul x13, x6, x10 + umulh x12, x5, x9 + adds x16, x11, x13 + umulh x14, x6, x10 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x5, x6 + cneg x15, x15, cc + csetm x1, cc + subs x0, x10, x9 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + subs x3, x5, x3 + sbcs x4, x6, x4 + ngc x5, xzr + cmn x5, #0x1 + eor x3, x3, x5 + adcs x3, x3, xzr + eor x4, x4, x5 + adcs x4, x4, xzr + subs x7, x7, x9 + sbcs x8, x8, x10 + ngc x9, xzr + cmn x9, #0x1 + eor x7, x7, x9 + adcs x7, x7, xzr + eor x8, x8, x9 + adcs x8, x8, xzr + eor x10, x5, x9 + ldp x15, x1, [sp, #32] + adds x15, x11, x15 + adcs x1, x12, x1 + ldp x5, x9, [sp, #48] + adcs x5, x13, x5 + adcs x9, x14, x9 + adc x2, xzr, xzr + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x3, x3, x4 + cneg x3, x3, cc + csetm x4, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x3, x0 + umulh x0, x3, x0 + cinv x4, x4, cc + eor x16, x16, x4 + eor x0, x0, x4 + cmn x4, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x4 + cmn x10, #0x1 + eor x11, x11, x10 + adcs x11, x11, x15 + eor x12, x12, x10 + adcs x12, x12, x1 + eor x13, x13, x10 + adcs x13, x13, x5 + eor x14, x14, x10 + adcs x14, x14, x9 + adcs x3, x2, x10 + adcs x4, x10, xzr + adc x10, x10, xzr + adds x13, x13, x15 + adcs x14, x14, x1 + adcs x3, x3, x5 + adcs x4, x4, x9 + adc x10, x10, x2 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + adds x3, x3, x11 + adcs x4, x4, x12 + adc x10, x10, xzr + add x2, x10, #0x1 + lsl x16, x2, #32 + adds x4, x4, x16 + adc x10, x10, xzr + neg x15, x2 + sub x16, x16, #0x1 + subs x13, x13, x15 + sbcs x14, x14, x16 + sbcs x3, x3, xzr + sbcs x4, x4, x2 + sbcs x7, x10, x2 + adds x13, x13, x7 + mov x10, #0xffffffff + and x10, x10, x7 + adcs x14, x14, x10 + adcs x3, x3, xzr + mov x10, #0xffffffff00000001 + and x10, x10, x7 + adc x4, x4, x10 + stp x13, x14, [sp, #32] + stp x3, x4, [sp, #48] + ldp x3, x4, [sp] + ldp x5, x6, [sp, #16] + ldp x7, x8, [x20] + ldp x9, x10, [x20, #16] + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x3, x4 + cneg x15, x15, cc + csetm x1, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + stp x13, x14, [sp, #64] + stp x11, x12, [sp, #80] + mul x11, x5, x9 + mul x13, x6, x10 + umulh x12, x5, x9 + adds x16, x11, x13 + umulh x14, x6, x10 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x5, x6 + cneg x15, x15, cc + csetm x1, cc + subs x0, x10, x9 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + subs x3, x5, x3 + sbcs x4, x6, x4 + ngc x5, xzr + cmn x5, #0x1 + eor x3, x3, x5 + adcs x3, x3, xzr + eor x4, x4, x5 + adcs x4, x4, xzr + subs x7, x7, x9 + sbcs x8, x8, x10 + ngc x9, xzr + cmn x9, #0x1 + eor x7, x7, x9 + adcs x7, x7, xzr + eor x8, x8, x9 + adcs x8, x8, xzr + eor x10, x5, x9 + ldp x15, x1, [sp, #64] + adds x15, x11, x15 + adcs x1, x12, x1 + ldp x5, x9, [sp, #80] + adcs x5, x13, x5 + adcs x9, x14, x9 + adc x2, xzr, xzr + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x3, x3, x4 + cneg x3, x3, cc + csetm x4, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x3, x0 + umulh x0, x3, x0 + cinv x4, x4, cc + eor x16, x16, x4 + eor x0, x0, x4 + cmn x4, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x4 + cmn x10, #0x1 + eor x11, x11, x10 + adcs x11, x11, x15 + eor x12, x12, x10 + adcs x12, x12, x1 + eor x13, x13, x10 + adcs x13, x13, x5 + eor x14, x14, x10 + adcs x14, x14, x9 + adcs x3, x2, x10 + adcs x4, x10, xzr + adc x10, x10, xzr + adds x13, x13, x15 + adcs x14, x14, x1 + adcs x3, x3, x5 + adcs x4, x4, x9 + adc x10, x10, x2 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + adds x3, x3, x11 + adcs x4, x4, x12 + adc x10, x10, xzr + add x2, x10, #0x1 + lsl x16, x2, #32 + adds x4, x4, x16 + adc x10, x10, xzr + neg x15, x2 + sub x16, x16, #0x1 + subs x13, x13, x15 + sbcs x14, x14, x16 + sbcs x3, x3, xzr + sbcs x4, x4, x2 + sbcs x7, x10, x2 + adds x13, x13, x7 + mov x10, #0xffffffff + and x10, x10, x7 + adcs x14, x14, x10 + adcs x3, x3, xzr + mov x10, #0xffffffff00000001 + and x10, x10, x7 + adc x4, x4, x10 + stp x13, x14, [sp, #64] + stp x3, x4, [sp, #80] + ldp x3, x4, [sp] + ldp x5, x6, [sp, #16] + ldp x7, x8, [sp, #32] + ldp x9, x10, [sp, #48] + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x3, x4 + cneg x15, x15, cc + csetm x1, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + stp x13, x14, [sp, #32] + stp x11, x12, [sp, #48] + mul x11, x5, x9 + mul x13, x6, x10 + umulh x12, x5, x9 + adds x16, x11, x13 + umulh x14, x6, x10 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x5, x6 + cneg x15, x15, cc + csetm x1, cc + subs x0, x10, x9 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + subs x3, x5, x3 + sbcs x4, x6, x4 + ngc x5, xzr + cmn x5, #0x1 + eor x3, x3, x5 + adcs x3, x3, xzr + eor x4, x4, x5 + adcs x4, x4, xzr + subs x7, x7, x9 + sbcs x8, x8, x10 + ngc x9, xzr + cmn x9, #0x1 + eor x7, x7, x9 + adcs x7, x7, xzr + eor x8, x8, x9 + adcs x8, x8, xzr + eor x10, x5, x9 + ldp x15, x1, [sp, #32] + adds x15, x11, x15 + adcs x1, x12, x1 + ldp x5, x9, [sp, #48] + adcs x5, x13, x5 + adcs x9, x14, x9 + adc x2, xzr, xzr + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x3, x3, x4 + cneg x3, x3, cc + csetm x4, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x3, x0 + umulh x0, x3, x0 + cinv x4, x4, cc + eor x16, x16, x4 + eor x0, x0, x4 + cmn x4, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x4 + cmn x10, #0x1 + eor x11, x11, x10 + adcs x11, x11, x15 + eor x12, x12, x10 + adcs x12, x12, x1 + eor x13, x13, x10 + adcs x13, x13, x5 + eor x14, x14, x10 + adcs x14, x14, x9 + adcs x3, x2, x10 + adcs x4, x10, xzr + adc x10, x10, xzr + adds x13, x13, x15 + adcs x14, x14, x1 + adcs x3, x3, x5 + adcs x4, x4, x9 + adc x10, x10, x2 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + adds x3, x3, x11 + adcs x4, x4, x12 + adc x10, x10, xzr + add x2, x10, #0x1 + lsl x16, x2, #32 + adds x4, x4, x16 + adc x10, x10, xzr + neg x15, x2 + sub x16, x16, #0x1 + subs x13, x13, x15 + sbcs x14, x14, x16 + sbcs x3, x3, xzr + sbcs x4, x4, x2 + sbcs x7, x10, x2 + adds x13, x13, x7 + mov x10, #0xffffffff + and x10, x10, x7 + adcs x14, x14, x10 + adcs x3, x3, xzr + mov x10, #0xffffffff00000001 + and x10, x10, x7 + adc x4, x4, x10 + stp x13, x14, [sp, #32] + stp x3, x4, [sp, #48] + ldp x5, x6, [sp, #64] + ldp x4, x3, [x19] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #80] + ldp x4, x3, [x19, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #160] + stp x7, x8, [sp, #176] + ldp x5, x6, [sp, #32] + ldp x4, x3, [x19, #32] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #48] + ldp x4, x3, [x19, #48] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #32] + stp x7, x8, [sp, #48] + ldp x2, x3, [sp, #160] + ldp x4, x5, [sp, #176] + umull x15, w2, w2 + lsr x11, x2, #32 + umull x16, w11, w11 + umull x11, w2, w11 + adds x15, x15, x11, lsl #33 + lsr x11, x11, #31 + adc x16, x16, x11 + umull x0, w3, w3 + lsr x11, x3, #32 + umull x1, w11, w11 + umull x11, w3, w11 + mul x12, x2, x3 + umulh x13, x2, x3 + adds x0, x0, x11, lsl #33 + lsr x11, x11, #31 + adc x1, x1, x11 + adds x12, x12, x12 + adcs x13, x13, x13 + adc x1, x1, xzr + adds x16, x16, x12 + adcs x0, x0, x13 + adc x1, x1, xzr + lsl x12, x15, #32 + subs x13, x15, x12 + lsr x11, x15, #32 + sbc x15, x15, x11 + adds x16, x16, x12 + adcs x0, x0, x11 + adcs x1, x1, x13 + adc x15, x15, xzr + lsl x12, x16, #32 + subs x13, x16, x12 + lsr x11, x16, #32 + sbc x16, x16, x11 + adds x0, x0, x12 + adcs x1, x1, x11 + adcs x15, x15, x13 + adc x16, x16, xzr + mul x6, x2, x4 + mul x14, x3, x5 + umulh x8, x2, x4 + subs x10, x2, x3 + cneg x10, x10, cc + csetm x13, cc + subs x12, x5, x4 + cneg x12, x12, cc + mul x11, x10, x12 + umulh x12, x10, x12 + cinv x13, x13, cc + eor x11, x11, x13 + eor x12, x12, x13 + adds x7, x6, x8 + adc x8, x8, xzr + umulh x9, x3, x5 + adds x7, x7, x14 + adcs x8, x8, x9 + adc x9, x9, xzr + adds x8, x8, x14 + adc x9, x9, xzr + cmn x13, #0x1 + adcs x7, x7, x11 + adcs x8, x8, x12 + adc x9, x9, x13 + adds x6, x6, x6 + adcs x7, x7, x7 + adcs x8, x8, x8 + adcs x9, x9, x9 + adc x10, xzr, xzr + adds x6, x6, x0 + adcs x7, x7, x1 + adcs x8, x8, x15 + adcs x9, x9, x16 + adc x10, x10, xzr + lsl x12, x6, #32 + subs x13, x6, x12 + lsr x11, x6, #32 + sbc x6, x6, x11 + adds x7, x7, x12 + adcs x8, x8, x11 + adcs x9, x9, x13 + adcs x10, x10, x6 + adc x6, xzr, xzr + lsl x12, x7, #32 + subs x13, x7, x12 + lsr x11, x7, #32 + sbc x7, x7, x11 + adds x8, x8, x12 + adcs x9, x9, x11 + adcs x10, x10, x13 + adcs x6, x6, x7 + adc x7, xzr, xzr + mul x11, x4, x4 + adds x8, x8, x11 + mul x12, x5, x5 + umulh x11, x4, x4 + adcs x9, x9, x11 + adcs x10, x10, x12 + umulh x12, x5, x5 + adcs x6, x6, x12 + adc x7, x7, xzr + mul x11, x4, x5 + umulh x12, x4, x5 + adds x11, x11, x11 + adcs x12, x12, x12 + adc x13, xzr, xzr + adds x9, x9, x11 + adcs x10, x10, x12 + adcs x6, x6, x13 + adcs x7, x7, xzr + mov x11, #0xffffffff + adds x5, x8, #0x1 + sbcs x11, x9, x11 + mov x13, #0xffffffff00000001 + sbcs x12, x10, xzr + sbcs x13, x6, x13 + sbcs xzr, x7, xzr + csel x8, x5, x8, cs + csel x9, x11, x9, cs + csel x10, x12, x10, cs + csel x6, x13, x6, cs + stp x8, x9, [sp, #96] + stp x10, x6, [sp, #112] + ldp x2, x3, [sp, #32] + ldp x4, x5, [sp, #48] + umull x15, w2, w2 + lsr x11, x2, #32 + umull x16, w11, w11 + umull x11, w2, w11 + adds x15, x15, x11, lsl #33 + lsr x11, x11, #31 + adc x16, x16, x11 + umull x0, w3, w3 + lsr x11, x3, #32 + umull x1, w11, w11 + umull x11, w3, w11 + mul x12, x2, x3 + umulh x13, x2, x3 + adds x0, x0, x11, lsl #33 + lsr x11, x11, #31 + adc x1, x1, x11 + adds x12, x12, x12 + adcs x13, x13, x13 + adc x1, x1, xzr + adds x16, x16, x12 + adcs x0, x0, x13 + adc x1, x1, xzr + lsl x12, x15, #32 + subs x13, x15, x12 + lsr x11, x15, #32 + sbc x15, x15, x11 + adds x16, x16, x12 + adcs x0, x0, x11 + adcs x1, x1, x13 + adc x15, x15, xzr + lsl x12, x16, #32 + subs x13, x16, x12 + lsr x11, x16, #32 + sbc x16, x16, x11 + adds x0, x0, x12 + adcs x1, x1, x11 + adcs x15, x15, x13 + adc x16, x16, xzr + mul x6, x2, x4 + mul x14, x3, x5 + umulh x8, x2, x4 + subs x10, x2, x3 + cneg x10, x10, cc + csetm x13, cc + subs x12, x5, x4 + cneg x12, x12, cc + mul x11, x10, x12 + umulh x12, x10, x12 + cinv x13, x13, cc + eor x11, x11, x13 + eor x12, x12, x13 + adds x7, x6, x8 + adc x8, x8, xzr + umulh x9, x3, x5 + adds x7, x7, x14 + adcs x8, x8, x9 + adc x9, x9, xzr + adds x8, x8, x14 + adc x9, x9, xzr + cmn x13, #0x1 + adcs x7, x7, x11 + adcs x8, x8, x12 + adc x9, x9, x13 + adds x6, x6, x6 + adcs x7, x7, x7 + adcs x8, x8, x8 + adcs x9, x9, x9 + adc x10, xzr, xzr + adds x6, x6, x0 + adcs x7, x7, x1 + adcs x8, x8, x15 + adcs x9, x9, x16 + adc x10, x10, xzr + lsl x12, x6, #32 + subs x13, x6, x12 + lsr x11, x6, #32 + sbc x6, x6, x11 + adds x7, x7, x12 + adcs x8, x8, x11 + adcs x9, x9, x13 + adcs x10, x10, x6 + adc x6, xzr, xzr + lsl x12, x7, #32 + subs x13, x7, x12 + lsr x11, x7, #32 + sbc x7, x7, x11 + adds x8, x8, x12 + adcs x9, x9, x11 + adcs x10, x10, x13 + adcs x6, x6, x7 + adc x7, xzr, xzr + mul x11, x4, x4 + adds x8, x8, x11 + mul x12, x5, x5 + umulh x11, x4, x4 + adcs x9, x9, x11 + adcs x10, x10, x12 + umulh x12, x5, x5 + adcs x6, x6, x12 + adc x7, x7, xzr + mul x11, x4, x5 + umulh x12, x4, x5 + adds x11, x11, x11 + adcs x12, x12, x12 + adc x13, xzr, xzr + adds x9, x9, x11 + adcs x10, x10, x12 + adcs x6, x6, x13 + adcs x7, x7, xzr + mov x11, #0xffffffff + adds x5, x8, #0x1 + sbcs x11, x9, x11 + mov x13, #0xffffffff00000001 + sbcs x12, x10, xzr + sbcs x13, x6, x13 + sbcs xzr, x7, xzr + csel x8, x5, x8, cs + csel x9, x11, x9, cs + csel x10, x12, x10, cs + csel x6, x13, x6, cs + stp x8, x9, [sp] + stp x10, x6, [sp, #16] + ldp x3, x4, [sp, #96] + ldp x5, x6, [sp, #112] + ldp x7, x8, [x19] + ldp x9, x10, [x19, #16] + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x3, x4 + cneg x15, x15, cc + csetm x1, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + stp x13, x14, [sp, #128] + stp x11, x12, [sp, #144] + mul x11, x5, x9 + mul x13, x6, x10 + umulh x12, x5, x9 + adds x16, x11, x13 + umulh x14, x6, x10 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x5, x6 + cneg x15, x15, cc + csetm x1, cc + subs x0, x10, x9 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + subs x3, x5, x3 + sbcs x4, x6, x4 + ngc x5, xzr + cmn x5, #0x1 + eor x3, x3, x5 + adcs x3, x3, xzr + eor x4, x4, x5 + adcs x4, x4, xzr + subs x7, x7, x9 + sbcs x8, x8, x10 + ngc x9, xzr + cmn x9, #0x1 + eor x7, x7, x9 + adcs x7, x7, xzr + eor x8, x8, x9 + adcs x8, x8, xzr + eor x10, x5, x9 + ldp x15, x1, [sp, #128] + adds x15, x11, x15 + adcs x1, x12, x1 + ldp x5, x9, [sp, #144] + adcs x5, x13, x5 + adcs x9, x14, x9 + adc x2, xzr, xzr + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x3, x3, x4 + cneg x3, x3, cc + csetm x4, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x3, x0 + umulh x0, x3, x0 + cinv x4, x4, cc + eor x16, x16, x4 + eor x0, x0, x4 + cmn x4, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x4 + cmn x10, #0x1 + eor x11, x11, x10 + adcs x11, x11, x15 + eor x12, x12, x10 + adcs x12, x12, x1 + eor x13, x13, x10 + adcs x13, x13, x5 + eor x14, x14, x10 + adcs x14, x14, x9 + adcs x3, x2, x10 + adcs x4, x10, xzr + adc x10, x10, xzr + adds x13, x13, x15 + adcs x14, x14, x1 + adcs x3, x3, x5 + adcs x4, x4, x9 + adc x10, x10, x2 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + adds x3, x3, x11 + adcs x4, x4, x12 + adc x10, x10, xzr + add x2, x10, #0x1 + lsl x16, x2, #32 + adds x4, x4, x16 + adc x10, x10, xzr + neg x15, x2 + sub x16, x16, #0x1 + subs x13, x13, x15 + sbcs x14, x14, x16 + sbcs x3, x3, xzr + sbcs x4, x4, x2 + sbcs x7, x10, x2 + adds x13, x13, x7 + mov x10, #0xffffffff + and x10, x10, x7 + adcs x14, x14, x10 + adcs x3, x3, xzr + mov x10, #0xffffffff00000001 + and x10, x10, x7 + adc x4, x4, x10 + stp x13, x14, [sp, #128] + stp x3, x4, [sp, #144] + ldp x3, x4, [sp, #96] + ldp x5, x6, [sp, #112] + ldp x7, x8, [sp, #64] + ldp x9, x10, [sp, #80] + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x3, x4 + cneg x15, x15, cc + csetm x1, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + stp x13, x14, [sp, #64] + stp x11, x12, [sp, #80] + mul x11, x5, x9 + mul x13, x6, x10 + umulh x12, x5, x9 + adds x16, x11, x13 + umulh x14, x6, x10 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x5, x6 + cneg x15, x15, cc + csetm x1, cc + subs x0, x10, x9 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + subs x3, x5, x3 + sbcs x4, x6, x4 + ngc x5, xzr + cmn x5, #0x1 + eor x3, x3, x5 + adcs x3, x3, xzr + eor x4, x4, x5 + adcs x4, x4, xzr + subs x7, x7, x9 + sbcs x8, x8, x10 + ngc x9, xzr + cmn x9, #0x1 + eor x7, x7, x9 + adcs x7, x7, xzr + eor x8, x8, x9 + adcs x8, x8, xzr + eor x10, x5, x9 + ldp x15, x1, [sp, #64] + adds x15, x11, x15 + adcs x1, x12, x1 + ldp x5, x9, [sp, #80] + adcs x5, x13, x5 + adcs x9, x14, x9 + adc x2, xzr, xzr + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x3, x3, x4 + cneg x3, x3, cc + csetm x4, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x3, x0 + umulh x0, x3, x0 + cinv x4, x4, cc + eor x16, x16, x4 + eor x0, x0, x4 + cmn x4, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x4 + cmn x10, #0x1 + eor x11, x11, x10 + adcs x11, x11, x15 + eor x12, x12, x10 + adcs x12, x12, x1 + eor x13, x13, x10 + adcs x13, x13, x5 + eor x14, x14, x10 + adcs x14, x14, x9 + adcs x3, x2, x10 + adcs x4, x10, xzr + adc x10, x10, xzr + adds x13, x13, x15 + adcs x14, x14, x1 + adcs x3, x3, x5 + adcs x4, x4, x9 + adc x10, x10, x2 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + adds x3, x3, x11 + adcs x4, x4, x12 + adc x10, x10, xzr + add x2, x10, #0x1 + lsl x16, x2, #32 + adds x4, x4, x16 + adc x10, x10, xzr + neg x15, x2 + sub x16, x16, #0x1 + subs x13, x13, x15 + sbcs x14, x14, x16 + sbcs x3, x3, xzr + sbcs x4, x4, x2 + sbcs x7, x10, x2 + adds x13, x13, x7 + mov x10, #0xffffffff + and x10, x10, x7 + adcs x14, x14, x10 + adcs x3, x3, xzr + mov x10, #0xffffffff00000001 + and x10, x10, x7 + adc x4, x4, x10 + stp x13, x14, [sp, #64] + stp x3, x4, [sp, #80] + ldp x5, x6, [sp] + ldp x4, x3, [sp, #128] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #16] + ldp x4, x3, [sp, #144] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp] + stp x7, x8, [sp, #16] + ldp x5, x6, [sp, #64] + ldp x4, x3, [sp, #128] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #80] + ldp x4, x3, [sp, #144] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #96] + stp x7, x8, [sp, #112] + ldp x3, x4, [sp, #160] + ldp x5, x6, [sp, #176] + ldp x7, x8, [x19, #64] + ldp x9, x10, [x19, #80] + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x3, x4 + cneg x15, x15, cc + csetm x1, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + stp x13, x14, [sp, #160] + stp x11, x12, [sp, #176] + mul x11, x5, x9 + mul x13, x6, x10 + umulh x12, x5, x9 + adds x16, x11, x13 + umulh x14, x6, x10 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x5, x6 + cneg x15, x15, cc + csetm x1, cc + subs x0, x10, x9 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + subs x3, x5, x3 + sbcs x4, x6, x4 + ngc x5, xzr + cmn x5, #0x1 + eor x3, x3, x5 + adcs x3, x3, xzr + eor x4, x4, x5 + adcs x4, x4, xzr + subs x7, x7, x9 + sbcs x8, x8, x10 + ngc x9, xzr + cmn x9, #0x1 + eor x7, x7, x9 + adcs x7, x7, xzr + eor x8, x8, x9 + adcs x8, x8, xzr + eor x10, x5, x9 + ldp x15, x1, [sp, #160] + adds x15, x11, x15 + adcs x1, x12, x1 + ldp x5, x9, [sp, #176] + adcs x5, x13, x5 + adcs x9, x14, x9 + adc x2, xzr, xzr + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x3, x3, x4 + cneg x3, x3, cc + csetm x4, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x3, x0 + umulh x0, x3, x0 + cinv x4, x4, cc + eor x16, x16, x4 + eor x0, x0, x4 + cmn x4, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x4 + cmn x10, #0x1 + eor x11, x11, x10 + adcs x11, x11, x15 + eor x12, x12, x10 + adcs x12, x12, x1 + eor x13, x13, x10 + adcs x13, x13, x5 + eor x14, x14, x10 + adcs x14, x14, x9 + adcs x3, x2, x10 + adcs x4, x10, xzr + adc x10, x10, xzr + adds x13, x13, x15 + adcs x14, x14, x1 + adcs x3, x3, x5 + adcs x4, x4, x9 + adc x10, x10, x2 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + adds x3, x3, x11 + adcs x4, x4, x12 + adc x10, x10, xzr + add x2, x10, #0x1 + lsl x16, x2, #32 + adds x4, x4, x16 + adc x10, x10, xzr + neg x15, x2 + sub x16, x16, #0x1 + subs x13, x13, x15 + sbcs x14, x14, x16 + sbcs x3, x3, xzr + sbcs x4, x4, x2 + sbcs x7, x10, x2 + adds x13, x13, x7 + mov x10, #0xffffffff + and x10, x10, x7 + adcs x14, x14, x10 + adcs x3, x3, xzr + mov x10, #0xffffffff00000001 + and x10, x10, x7 + adc x4, x4, x10 + stp x13, x14, [sp, #160] + stp x3, x4, [sp, #176] + ldp x5, x6, [sp] + ldp x4, x3, [sp, #64] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #16] + ldp x4, x3, [sp, #80] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp] + stp x7, x8, [sp, #16] + ldp x5, x6, [sp, #128] + ldp x4, x3, [sp] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #144] + ldp x4, x3, [sp, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #128] + stp x7, x8, [sp, #144] + ldp x3, x4, [sp, #96] + ldp x5, x6, [sp, #112] + ldp x7, x8, [x19, #32] + ldp x9, x10, [x19, #48] + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x3, x4 + cneg x15, x15, cc + csetm x1, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + stp x13, x14, [sp, #96] + stp x11, x12, [sp, #112] + mul x11, x5, x9 + mul x13, x6, x10 + umulh x12, x5, x9 + adds x16, x11, x13 + umulh x14, x6, x10 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x5, x6 + cneg x15, x15, cc + csetm x1, cc + subs x0, x10, x9 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + subs x3, x5, x3 + sbcs x4, x6, x4 + ngc x5, xzr + cmn x5, #0x1 + eor x3, x3, x5 + adcs x3, x3, xzr + eor x4, x4, x5 + adcs x4, x4, xzr + subs x7, x7, x9 + sbcs x8, x8, x10 + ngc x9, xzr + cmn x9, #0x1 + eor x7, x7, x9 + adcs x7, x7, xzr + eor x8, x8, x9 + adcs x8, x8, xzr + eor x10, x5, x9 + ldp x15, x1, [sp, #96] + adds x15, x11, x15 + adcs x1, x12, x1 + ldp x5, x9, [sp, #112] + adcs x5, x13, x5 + adcs x9, x14, x9 + adc x2, xzr, xzr + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x3, x3, x4 + cneg x3, x3, cc + csetm x4, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x3, x0 + umulh x0, x3, x0 + cinv x4, x4, cc + eor x16, x16, x4 + eor x0, x0, x4 + cmn x4, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x4 + cmn x10, #0x1 + eor x11, x11, x10 + adcs x11, x11, x15 + eor x12, x12, x10 + adcs x12, x12, x1 + eor x13, x13, x10 + adcs x13, x13, x5 + eor x14, x14, x10 + adcs x14, x14, x9 + adcs x3, x2, x10 + adcs x4, x10, xzr + adc x10, x10, xzr + adds x13, x13, x15 + adcs x14, x14, x1 + adcs x3, x3, x5 + adcs x4, x4, x9 + adc x10, x10, x2 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + adds x3, x3, x11 + adcs x4, x4, x12 + adc x10, x10, xzr + add x2, x10, #0x1 + lsl x16, x2, #32 + adds x4, x4, x16 + adc x10, x10, xzr + neg x15, x2 + sub x16, x16, #0x1 + subs x13, x13, x15 + sbcs x14, x14, x16 + sbcs x3, x3, xzr + sbcs x4, x4, x2 + sbcs x7, x10, x2 + adds x13, x13, x7 + mov x10, #0xffffffff + and x10, x10, x7 + adcs x14, x14, x10 + adcs x3, x3, xzr + mov x10, #0xffffffff00000001 + and x10, x10, x7 + adc x4, x4, x10 + stp x13, x14, [sp, #96] + stp x3, x4, [sp, #112] + ldp x3, x4, [sp, #32] + ldp x5, x6, [sp, #48] + ldp x7, x8, [sp, #128] + ldp x9, x10, [sp, #144] + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x3, x4 + cneg x15, x15, cc + csetm x1, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + stp x13, x14, [sp, #128] + stp x11, x12, [sp, #144] + mul x11, x5, x9 + mul x13, x6, x10 + umulh x12, x5, x9 + adds x16, x11, x13 + umulh x14, x6, x10 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x15, x5, x6 + cneg x15, x15, cc + csetm x1, cc + subs x0, x10, x9 + cneg x0, x0, cc + mul x16, x15, x0 + umulh x0, x15, x0 + cinv x1, x1, cc + eor x16, x16, x1 + eor x0, x0, x1 + cmn x1, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x1 + subs x3, x5, x3 + sbcs x4, x6, x4 + ngc x5, xzr + cmn x5, #0x1 + eor x3, x3, x5 + adcs x3, x3, xzr + eor x4, x4, x5 + adcs x4, x4, xzr + subs x7, x7, x9 + sbcs x8, x8, x10 + ngc x9, xzr + cmn x9, #0x1 + eor x7, x7, x9 + adcs x7, x7, xzr + eor x8, x8, x9 + adcs x8, x8, xzr + eor x10, x5, x9 + ldp x15, x1, [sp, #128] + adds x15, x11, x15 + adcs x1, x12, x1 + ldp x5, x9, [sp, #144] + adcs x5, x13, x5 + adcs x9, x14, x9 + adc x2, xzr, xzr + mul x11, x3, x7 + mul x13, x4, x8 + umulh x12, x3, x7 + adds x16, x11, x13 + umulh x14, x4, x8 + adcs x0, x12, x14 + adcs x14, x14, xzr + adds x12, x12, x16 + adcs x13, x13, x0 + adcs x14, x14, xzr + subs x3, x3, x4 + cneg x3, x3, cc + csetm x4, cc + subs x0, x8, x7 + cneg x0, x0, cc + mul x16, x3, x0 + umulh x0, x3, x0 + cinv x4, x4, cc + eor x16, x16, x4 + eor x0, x0, x4 + cmn x4, #0x1 + adcs x12, x12, x16 + adcs x13, x13, x0 + adc x14, x14, x4 + cmn x10, #0x1 + eor x11, x11, x10 + adcs x11, x11, x15 + eor x12, x12, x10 + adcs x12, x12, x1 + eor x13, x13, x10 + adcs x13, x13, x5 + eor x14, x14, x10 + adcs x14, x14, x9 + adcs x3, x2, x10 + adcs x4, x10, xzr + adc x10, x10, xzr + adds x13, x13, x15 + adcs x14, x14, x1 + adcs x3, x3, x5 + adcs x4, x4, x9 + adc x10, x10, x2 + lsl x0, x11, #32 + subs x1, x11, x0 + lsr x16, x11, #32 + sbc x11, x11, x16 + adds x12, x12, x0 + adcs x13, x13, x16 + adcs x14, x14, x1 + adc x11, x11, xzr + lsl x0, x12, #32 + subs x1, x12, x0 + lsr x16, x12, #32 + sbc x12, x12, x16 + adds x13, x13, x0 + adcs x14, x14, x16 + adcs x11, x11, x1 + adc x12, x12, xzr + adds x3, x3, x11 + adcs x4, x4, x12 + adc x10, x10, xzr + add x2, x10, #0x1 + lsl x16, x2, #32 + adds x4, x4, x16 + adc x10, x10, xzr + neg x15, x2 + sub x16, x16, #0x1 + subs x13, x13, x15 + sbcs x14, x14, x16 + sbcs x3, x3, xzr + sbcs x4, x4, x2 + sbcs x7, x10, x2 + adds x13, x13, x7 + mov x10, #0xffffffff + and x10, x10, x7 + adcs x14, x14, x10 + adcs x3, x3, xzr + mov x10, #0xffffffff00000001 + and x10, x10, x7 + adc x4, x4, x10 + stp x13, x14, [sp, #128] + stp x3, x4, [sp, #144] + ldp x5, x6, [sp, #128] + ldp x4, x3, [sp, #96] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #144] + ldp x4, x3, [sp, #112] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #128] + stp x7, x8, [sp, #144] + ldp x0, x1, [x19, #64] + ldp x2, x3, [x19, #80] + orr x4, x0, x1 + orr x5, x2, x3 + orr x4, x4, x5 + cmp x4, xzr + ldp x0, x1, [sp] + ldp x12, x13, [x20] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x2, x3, [sp, #16] + ldp x12, x13, [x20, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x4, x5, [sp, #128] + ldp x12, x13, [x20, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x6, x7, [sp, #144] + ldp x12, x13, [x20, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x8, x9, [sp, #160] + mov x12, #0x1 + mov x13, #0xffffffff00000000 + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x10, x11, [sp, #176] + mov x12, #0xffffffffffffffff + mov x13, #0xfffffffe + csel x10, x10, x12, ne + csel x11, x11, x13, ne + stp x0, x1, [x17] + stp x2, x3, [x17, #16] + stp x4, x5, [x17, #32] + stp x6, x7, [x17, #48] + stp x8, x9, [x17, #64] + stp x10, x11, [x17, #80] + CFI_INC_SP(192) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_local_p256_montjmixadd) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/arm/p256_scalarmulbase_alt.S b/cbits/s2n/arm/p256_scalarmulbase_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/p256_scalarmulbase_alt.S @@ -0,0 +1,3057 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Scalar multiplication for precomputed point on NIST curve P-256 +// Input scalar[4], blocksize, table[]; output res[8] +// +// extern void p256_scalarmulbase_alt +// (uint64_t res[static 8], +// const uint64_t scalar[static 4], +// uint64_t blocksize, +// const uint64_t *table); +// +// Given scalar = n and point = P, assumed to be on the NIST elliptic +// curve P-256, the input argument "table" is expected to be a table of +// multiples of the point P in Montgomery-affine form, with each block +// corresponding to "blocksize" bits of the scalar as follows, where +// B = 2^{blocksize-1} (e.g. B = 8 for blocksize = 4): +// +// For each i,j with blocksize * i <= 256 and 1 <= j <= B +// the multiple 2^{blocksize * i} * j * P is stored at +// tab[8 * (B * i + (j - 1))], considered as uint64_t pointers +// or tab + 64 * (B * i + (j - 1)) as byte pointers. +// +// Standard ARM ABI: X0 = res, X1 = scalar, X2 = blocksize, X3 = table +// ---------------------------------------------------------------------------- + + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p256_scalarmulbase_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p256_scalarmulbase_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p256_scalarmulbase_alt) + + + .text + .balign 4 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Safe copies of inputs and additional variables, with some aliasing + +#define res x19 +#define blocksize x20 +#define table x21 +#define i x22 +#define bf x23 +#define cf x24 +#define j x25 + +// Intermediate variables on the stack. The last z2, z3 values can +// safely be overlaid on "nacc", which is no longer needed at the end. +// Uppercase syntactic variants make x86_att version simpler to generate + +#define rscalar sp, #(0*NUMSIZE) +#define acc sp, #(1*NUMSIZE) +#define nacc sp, #(4*NUMSIZE) +#define tabent sp, #(7*NUMSIZE) + +#define z2 sp, #(4*NUMSIZE) +#define z3 sp, #(5*NUMSIZE) + +#define NSPACE 9*NUMSIZE + +// Loading large constants + +#define movbig(nn,n3,n2,n1,n0) \ + movz nn, n0 __LF \ + movk nn, n1, lsl #16 __LF \ + movk nn, n2, lsl #32 __LF \ + movk nn, n3, lsl #48 + +S2N_BN_SYMBOL(p256_scalarmulbase_alt): + CFI_START + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_PUSH2(x25,x30) + CFI_DEC_SP(NSPACE) + +// Preserve the input arguments except the scalar, since that gets absorbed +// immediately. The "table" value subsequently gets shifted up each iteration +// of the loop, while "res" and "blocksize" are static throughout. + + mov res, x0 + mov blocksize, x2 + mov table, x3 + +// Load the digits of group order n_256 = [x15;x14;x13;x12] + + movbig(x12, #0xf3b9, #0xcac2, #0xfc63, #0x2551) + movbig(x13, #0xbce6, #0xfaad, #0xa717, #0x9e84) + mov x14, #0xffffffffffffffff + mov x15, #0xffffffff00000000 + +// First, reduce the input scalar mod n_256, i.e. conditionally subtract n_256 +// Store it to "rscalar" (reduced scalar) + + ldp x2, x3, [x1] + ldp x4, x5, [x1, #16] + + subs x6, x2, x12 + sbcs x7, x3, x13 + sbcs x8, x4, x14 + sbcs x9, x5, x15 + + csel x2, x2, x6, cc + csel x3, x3, x7, cc + csel x4, x4, x8, cc + csel x5, x5, x9, cc + + stp x2, x3, [rscalar] + stp x4, x5, [rscalar+16] + +// Initialize the accumulator to all zeros and the "carry flag" cf to 0 + + stp xzr, xzr, [acc] + stp xzr, xzr, [acc+16] + stp xzr, xzr, [acc+32] + stp xzr, xzr, [acc+48] + stp xzr, xzr, [acc+64] + stp xzr, xzr, [acc+80] + mov cf, xzr + +// Main loop over {i >= 0 | blocksize * i <= 256}. Note the non-strict +// inequality, to allow top carry for any choices of blocksize. + + mov i, xzr + +Lp256_scalarmulbase_alt_loop: + +// The next raw bitfield is bf = bitfield(blocksize * i,blocksize) + cf, +// adding in the deferred carry cf. We then shift the whole scalar right +// by blocksize so we can keep picking bitfield(0,blocksize). + + ldp x0, x1, [rscalar] + ldp x2, x3, [rscalar+16] + + mov x4, #1 + lsl x4, x4, blocksize + sub x4, x4, #1 + and x4, x4, x0 + add bf, x4, cf + + neg x8, blocksize + + lsl x5, x1, x8 + + lsr x0, x0, blocksize + orr x0, x0, x5 + + lsl x6, x2, x8 + lsr x1, x1, blocksize + orr x1, x1, x6 + + lsl x7, x3, x8 + lsr x2, x2, blocksize + orr x2, x2, x7 + + lsr x3, x3, blocksize + + stp x0, x1, [rscalar] + stp x2, x3, [rscalar+16] + +// Now if bf <= B we just select entry j, unnegated and set cf = 0. +// If bf > B we set j = 2 * B - bf and negate the j'th entry, setting cf = 1. +// In either case we ultimately add bf, in the latter case with deferred +// carry as 2 * B - (2 * B - bf) = bf. + + mov x0, #1 + lsl x1, x0, blocksize + lsr x0, x1, #1 + + sub x2, x1, bf + + cmp x0, bf + cset cf, cc + csel j, x2, bf, cc + +// Load table entry j - 1 for nonzero j in constant-time style. + + mov x16, #1 + lsl x16, x16, blocksize + lsr x16, x16, #1 + mov x17, j + +Lp256_scalarmulbase_alt_tabloop: + ldp x8, x9, [table] + ldp x10, x11, [table, #16] + ldp x12, x13, [table, #32] + ldp x14, x15, [table, #48] + + subs x17, x17, #1 + csel x0, x8, x0, eq + csel x1, x9, x1, eq + csel x2, x10, x2, eq + csel x3, x11, x3, eq + csel x4, x12, x4, eq + csel x5, x13, x5, eq + csel x6, x14, x6, eq + csel x7, x15, x7, eq + + add table, table, #64 + + sub x16, x16, #1 + cbnz x16, Lp256_scalarmulbase_alt_tabloop + +// Before storing back, optionally negate the y coordinate of the table entry + + stp x0, x1, [tabent] + stp x2, x3, [tabent+16] + + mov x0, 0xffffffffffffffff + subs x0, x0, x4 + mov x1, 0x00000000ffffffff + sbcs x1, x1, x5 + mov x3, 0xffffffff00000001 + sbcs x2, xzr, x6 + sbc x3, x3, x7 + + cmp cf, xzr + csel x4, x0, x4, ne + csel x5, x1, x5, ne + csel x6, x2, x6, ne + csel x7, x3, x7, ne + + stp x4, x5, [tabent+32] + stp x6, x7, [tabent+48] + +// Add the adjusted table point to the accumulator + + add x0, nacc + add x1, acc + add x2, tabent + CFI_BL(Lp256_scalarmulbase_alt_local_p256_montjmixadd) + +// However, only commit that update to the accumulator if j is nonzero, +// because the mixed addition function does not handle this case directly, +// and in any case we didn't choose the table entry appropriately. + + cmp j, xzr + ldp x0, x1, [acc] + ldp x12, x13, [nacc] + csel x0, x12, x0, ne + csel x1, x13, x1, ne + + ldp x2, x3, [acc+16] + ldp x12, x13, [nacc+16] + csel x2, x12, x2, ne + csel x3, x13, x3, ne + + ldp x4, x5, [acc+32] + ldp x12, x13, [nacc+32] + csel x4, x12, x4, ne + csel x5, x13, x5, ne + + ldp x6, x7, [acc+48] + ldp x12, x13, [nacc+48] + csel x6, x12, x6, ne + csel x7, x13, x7, ne + + ldp x8, x9, [acc+64] + ldp x12, x13, [nacc+64] + csel x8, x12, x8, ne + csel x9, x13, x9, ne + + ldp x10, x11, [acc+80] + ldp x12, x13, [nacc+80] + csel x10, x12, x10, ne + csel x11, x13, x11, ne + + stp x0, x1, [acc] + stp x2, x3, [acc+16] + stp x4, x5, [acc+32] + stp x6, x7, [acc+48] + stp x8, x9, [acc+64] + stp x10, x11, [acc+80] + +// Loop while blocksize * i <= 256 + + add i, i, #1 + mul x0, blocksize, i + cmp x0, #257 + bcc Lp256_scalarmulbase_alt_loop + +// That's the end of the main loop, and we just need to translate +// back from the Jacobian representation to affine. First of all, +// let z2 = 1/z^2 and z3 = 1/z^3, both without Montgomery form + + add x0, z2 + add x1, acc+64 + CFI_BL(Lp256_scalarmulbase_alt_local_montsqr_p256) + + add x0, z3 + add x1, acc+64 + add x2, z2 + CFI_BL(Lp256_scalarmulbase_alt_local_montmul_p256) + + add x0, z2 + add x1, z3 + CFI_BL(Lp256_scalarmulbase_alt_local_demont_p256) + + add x0, z3 + add x1, z2 + CFI_BL(Lp256_scalarmulbase_alt_local_inv_p256) + + add x0, z2 + add x1, acc+64 + add x2, z3 + CFI_BL(Lp256_scalarmulbase_alt_local_montmul_p256) + +// Convert back from Jacobian (X,Y,Z) |-> (X/Z^2, Y/Z^3) + + mov x0, res + add x1, acc + add x2, z2 + CFI_BL(Lp256_scalarmulbase_alt_local_montmul_p256) + + add x0, res, #32 + add x1, acc+32 + add x2, z3 + CFI_BL(Lp256_scalarmulbase_alt_local_montmul_p256) + +// Restore stack and registers and return + + CFI_INC_SP(NSPACE) + CFI_POP2(x25,x30) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p256_scalarmulbase_alt) + +// Local copies of subroutines, complete clones at the moment + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_alt_local_demont_p256) + +Lp256_scalarmulbase_alt_local_demont_p256: + CFI_START + ldp x2, x3, [x1] + ldp x4, x5, [x1, #16] + lsl x7, x2, #32 + subs x8, x2, x7 + lsr x6, x2, #32 + sbc x2, x2, x6 + adds x3, x3, x7 + adcs x4, x4, x6 + adcs x5, x5, x8 + adc x2, x2, xzr + lsl x7, x3, #32 + subs x8, x3, x7 + lsr x6, x3, #32 + sbc x3, x3, x6 + adds x4, x4, x7 + adcs x5, x5, x6 + adcs x2, x2, x8 + adc x3, x3, xzr + lsl x7, x4, #32 + subs x8, x4, x7 + lsr x6, x4, #32 + sbc x4, x4, x6 + adds x5, x5, x7 + adcs x2, x2, x6 + adcs x3, x3, x8 + adc x4, x4, xzr + lsl x7, x5, #32 + subs x8, x5, x7 + lsr x6, x5, #32 + sbc x5, x5, x6 + adds x2, x2, x7 + adcs x3, x3, x6 + adcs x4, x4, x8 + adc x5, x5, xzr + stp x2, x3, [x0] + stp x4, x5, [x0, #16] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_alt_local_demont_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_alt_local_inv_p256) + +Lp256_scalarmulbase_alt_local_inv_p256: + CFI_START + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_DEC_SP(160) + mov x20, x0 + mov x10, #0xffffffffffffffff + mov x11, #0xffffffff + mov x13, #0xffffffff00000001 + stp x10, x11, [sp] + stp xzr, x13, [sp, #16] + str xzr, [sp, #32] + ldp x2, x3, [x1] + subs x10, x2, x10 + sbcs x11, x3, x11 + ldp x4, x5, [x1, #16] + sbcs x12, x4, xzr + sbcs x13, x5, x13 + csel x2, x2, x10, cc + csel x3, x3, x11, cc + csel x4, x4, x12, cc + csel x5, x5, x13, cc + stp x2, x3, [sp, #48] + stp x4, x5, [sp, #64] + str xzr, [sp, #80] + stp xzr, xzr, [sp, #96] + stp xzr, xzr, [sp, #112] + mov x10, #0x4000000000000 + stp x10, xzr, [sp, #128] + stp xzr, xzr, [sp, #144] + mov x21, #0xa + mov x22, #0x1 + b Lp256_scalarmulbase_alt_inv_midloop +Lp256_scalarmulbase_alt_inv_loop: + cmp x10, xzr + csetm x14, mi + cneg x10, x10, mi + cmp x11, xzr + csetm x15, mi + cneg x11, x11, mi + cmp x12, xzr + csetm x16, mi + cneg x12, x12, mi + cmp x13, xzr + csetm x17, mi + cneg x13, x13, mi + and x0, x10, x14 + and x1, x11, x15 + add x9, x0, x1 + and x0, x12, x16 + and x1, x13, x17 + add x19, x0, x1 + ldr x7, [sp] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #48] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + adc x2, x2, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x5, x19, x0 + adc x3, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x7, [sp, #8] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #56] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + adc x6, x6, x1 + extr x4, x2, x4, #59 + str x4, [sp] + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x3, x3, x0 + adc x4, x4, x1 + extr x5, x3, x5, #59 + str x5, [sp, #48] + ldr x7, [sp, #16] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #64] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + adc x5, x5, x1 + extr x2, x6, x2, #59 + str x2, [sp, #8] + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x4, x4, x0 + adc x2, x2, x1 + extr x3, x4, x3, #59 + str x3, [sp, #56] + ldr x7, [sp, #24] + eor x1, x7, x14 + ldr x23, [sp, #32] + eor x3, x23, x14 + and x3, x3, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #72] + eor x1, x8, x15 + ldr x24, [sp, #80] + eor x0, x24, x15 + and x0, x0, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + extr x6, x5, x6, #59 + str x6, [sp, #16] + extr x5, x3, x5, #59 + str x5, [sp, #24] + asr x3, x3, #59 + str x3, [sp, #32] + eor x1, x7, x16 + eor x5, x23, x16 + and x5, x5, x12 + neg x5, x5 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, x17 + eor x0, x24, x17 + and x0, x0, x13 + sub x5, x5, x0 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x2, x2, x0 + adc x5, x5, x1 + extr x4, x2, x4, #59 + str x4, [sp, #64] + extr x2, x5, x2, #59 + str x2, [sp, #72] + asr x5, x5, #59 + str x5, [sp, #80] + ldr x7, [sp, #96] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #128] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + str x4, [sp, #96] + adc x2, x2, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x5, x19, x0 + adc x3, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x5, x5, x0 + str x5, [sp, #128] + adc x3, x3, x1 + ldr x7, [sp, #104] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #136] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + str x2, [sp, #104] + adc x6, x6, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x3, x3, x0 + adc x4, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x3, x3, x0 + str x3, [sp, #136] + adc x4, x4, x1 + ldr x7, [sp, #112] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #144] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + str x6, [sp, #112] + adc x5, x5, x1 + eor x1, x7, x16 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x4, x4, x0 + adc x2, xzr, x1 + eor x1, x8, x17 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x4, x4, x0 + str x4, [sp, #144] + adc x2, x2, x1 + ldr x7, [sp, #120] + eor x1, x7, x14 + and x3, x14, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #152] + eor x1, x8, x15 + and x0, x15, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + ldp x0, x1, [sp, #96] + ldr x6, [sp, #112] + mov x14, #0xe000000000000000 + adds x0, x0, x14 + sbcs x1, x1, xzr + mov x11, #0x1fffffff + adcs x6, x6, x11 + mov x10, #0x2000000000000000 + adcs x5, x5, x10 + mov x14, #0x1fffffffe0000000 + adc x3, x3, x14 + lsl x11, x0, #32 + subs x14, x0, x11 + lsr x10, x0, #32 + sbc x0, x0, x10 + adds x1, x1, x11 + adcs x6, x6, x10 + adcs x5, x5, x14 + adcs x3, x3, x0 + mov x14, #0xffffffffffffffff + mov x11, #0xffffffff + mov x10, #0xffffffff00000001 + csel x14, x14, xzr, cs + csel x11, x11, xzr, cs + csel x10, x10, xzr, cs + subs x1, x1, x14 + sbcs x6, x6, x11 + sbcs x5, x5, xzr + sbc x3, x3, x10 + stp x1, x6, [sp, #96] + stp x5, x3, [sp, #112] + eor x1, x7, x16 + and x5, x16, x12 + neg x5, x5 + mul x0, x1, x12 + umulh x1, x1, x12 + adds x2, x2, x0 + adc x5, x5, x1 + eor x1, x8, x17 + and x0, x17, x13 + sub x5, x5, x0 + mul x0, x1, x13 + umulh x1, x1, x13 + adds x2, x2, x0 + adc x5, x5, x1 + ldp x0, x1, [sp, #128] + ldr x3, [sp, #144] + mov x14, #0xe000000000000000 + adds x0, x0, x14 + sbcs x1, x1, xzr + mov x11, #0x1fffffff + adcs x3, x3, x11 + mov x10, #0x2000000000000000 + adcs x2, x2, x10 + mov x14, #0x1fffffffe0000000 + adc x5, x5, x14 + lsl x11, x0, #32 + subs x14, x0, x11 + lsr x10, x0, #32 + sbc x0, x0, x10 + adds x1, x1, x11 + adcs x3, x3, x10 + adcs x2, x2, x14 + adcs x5, x5, x0 + mov x14, #0xffffffffffffffff + mov x11, #0xffffffff + mov x10, #0xffffffff00000001 + csel x14, x14, xzr, cs + csel x11, x11, xzr, cs + csel x10, x10, xzr, cs + subs x1, x1, x14 + sbcs x3, x3, x11 + sbcs x2, x2, xzr + sbc x5, x5, x10 + stp x1, x3, [sp, #128] + stp x2, x5, [sp, #144] +Lp256_scalarmulbase_alt_inv_midloop: + mov x1, x22 + ldr x2, [sp] + ldr x3, [sp, #48] + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x8, x4, #0x100, lsl #12 + sbfx x8, x8, #21, #21 + mov x11, #0x100000 + add x11, x11, x11, lsl #21 + add x9, x4, x11 + asr x9, x9, #42 + add x10, x5, #0x100, lsl #12 + sbfx x10, x10, #21, #21 + add x11, x5, x11 + asr x11, x11, #42 + mul x6, x8, x2 + mul x7, x9, x3 + mul x2, x10, x2 + mul x3, x11, x3 + add x4, x6, x7 + add x5, x2, x3 + asr x2, x4, #20 + asr x3, x5, #20 + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x12, x4, #0x100, lsl #12 + sbfx x12, x12, #21, #21 + mov x15, #0x100000 + add x15, x15, x15, lsl #21 + add x13, x4, x15 + asr x13, x13, #42 + add x14, x5, #0x100, lsl #12 + sbfx x14, x14, #21, #21 + add x15, x5, x15 + asr x15, x15, #42 + mul x6, x12, x2 + mul x7, x13, x3 + mul x2, x14, x2 + mul x3, x15, x3 + add x4, x6, x7 + add x5, x2, x3 + asr x2, x4, #20 + asr x3, x5, #20 + and x4, x2, #0xfffff + orr x4, x4, #0xfffffe0000000000 + and x5, x3, #0xfffff + orr x5, x5, #0xc000000000000000 + tst x5, #0x1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + mul x2, x12, x8 + mul x3, x12, x9 + mul x6, x14, x8 + mul x7, x14, x9 + madd x8, x13, x10, x2 + madd x9, x13, x11, x3 + madd x16, x15, x10, x6 + madd x17, x15, x11, x7 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + tst x5, #0x2 + asr x5, x5, #1 + csel x6, x4, xzr, ne + ccmp x1, xzr, #0x8, ne + cneg x1, x1, ge + cneg x6, x6, ge + csel x4, x5, x4, ge + add x5, x5, x6 + add x1, x1, #0x2 + asr x5, x5, #1 + add x12, x4, #0x100, lsl #12 + sbfx x12, x12, #22, #21 + mov x15, #0x100000 + add x15, x15, x15, lsl #21 + add x13, x4, x15 + asr x13, x13, #43 + add x14, x5, #0x100, lsl #12 + sbfx x14, x14, #22, #21 + add x15, x5, x15 + asr x15, x15, #43 + mneg x2, x12, x8 + mneg x3, x12, x9 + mneg x4, x14, x8 + mneg x5, x14, x9 + msub x10, x13, x16, x2 + msub x11, x13, x17, x3 + msub x12, x15, x16, x4 + msub x13, x15, x17, x5 + mov x22, x1 + subs x21, x21, #0x1 + bne Lp256_scalarmulbase_alt_inv_loop + ldr x0, [sp] + ldr x1, [sp, #48] + mul x0, x0, x10 + madd x1, x1, x11, x0 + asr x0, x1, #63 + cmp x10, xzr + csetm x14, mi + cneg x10, x10, mi + eor x14, x14, x0 + cmp x11, xzr + csetm x15, mi + cneg x11, x11, mi + eor x15, x15, x0 + cmp x12, xzr + csetm x16, mi + cneg x12, x12, mi + eor x16, x16, x0 + cmp x13, xzr + csetm x17, mi + cneg x13, x13, mi + eor x17, x17, x0 + and x0, x10, x14 + and x1, x11, x15 + add x9, x0, x1 + ldr x7, [sp, #96] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x4, x9, x0 + adc x2, xzr, x1 + ldr x8, [sp, #128] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x4, x4, x0 + str x4, [sp, #96] + adc x2, x2, x1 + ldr x7, [sp, #104] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x2, x2, x0 + adc x6, xzr, x1 + ldr x8, [sp, #136] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x2, x2, x0 + str x2, [sp, #104] + adc x6, x6, x1 + ldr x7, [sp, #112] + eor x1, x7, x14 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x6, x6, x0 + adc x5, xzr, x1 + ldr x8, [sp, #144] + eor x1, x8, x15 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x6, x6, x0 + str x6, [sp, #112] + adc x5, x5, x1 + ldr x7, [sp, #120] + eor x1, x7, x14 + and x3, x14, x10 + neg x3, x3 + mul x0, x1, x10 + umulh x1, x1, x10 + adds x5, x5, x0 + adc x3, x3, x1 + ldr x8, [sp, #152] + eor x1, x8, x15 + and x0, x15, x11 + sub x3, x3, x0 + mul x0, x1, x11 + umulh x1, x1, x11 + adds x5, x5, x0 + adc x3, x3, x1 + ldp x0, x1, [sp, #96] + ldr x2, [sp, #112] + mov x14, #0xe000000000000000 + adds x0, x0, x14 + sbcs x1, x1, xzr + mov x11, #0x1fffffff + adcs x2, x2, x11 + mov x10, #0x2000000000000000 + adcs x5, x5, x10 + mov x14, #0x1fffffffe0000000 + adc x3, x3, x14 + lsl x11, x0, #32 + subs x14, x0, x11 + lsr x10, x0, #32 + sbc x0, x0, x10 + adds x1, x1, x11 + adcs x2, x2, x10 + adcs x5, x5, x14 + adcs x3, x3, x0 + mov x14, #0xffffffffffffffff + mov x11, #0xffffffff + mov x10, #0xffffffff00000001 + csel x14, x14, xzr, cs + csel x11, x11, xzr, cs + csel x10, x10, xzr, cs + subs x1, x1, x14 + sbcs x2, x2, x11 + sbcs x5, x5, xzr + sbc x3, x3, x10 + mov x10, #0xffffffffffffffff + subs x10, x1, x10 + mov x11, #0xffffffff + sbcs x11, x2, x11 + mov x13, #0xffffffff00000001 + sbcs x12, x5, xzr + sbcs x13, x3, x13 + csel x10, x1, x10, cc + csel x11, x2, x11, cc + csel x12, x5, x12, cc + csel x13, x3, x13, cc + stp x10, x11, [x20] + stp x12, x13, [x20, #16] + CFI_INC_SP(160) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_alt_local_inv_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_alt_local_montmul_p256) + +Lp256_scalarmulbase_alt_local_montmul_p256: + CFI_START + ldp x3, x4, [x1] + ldp x7, x8, [x2] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [x2, #16] + mul x11, x3, x9 + umulh x15, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x16, x3, x10 + adcs x15, x15, x11 + adc x16, x16, xzr + ldp x5, x6, [x1, #16] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x15, x15, x11 + mul x11, x4, x10 + adcs x16, x16, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x15, x15, x11 + umulh x11, x4, x9 + adcs x16, x16, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x15, x15, x11 + mul x11, x5, x9 + adcs x16, x16, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x15, x15, x11 + umulh x11, x5, x8 + adcs x16, x16, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x15, x15, x11 + mul x11, x6, x8 + adcs x16, x16, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x15, x15, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x16, x16, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x15, x15, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x15, x15, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x15, lsl #32 + lsr x11, x15, #32 + adcs x13, x13, x11 + mul x11, x15, x10 + umulh x15, x15, x10 + adcs x14, x14, x11 + adc x15, x15, xzr + adds x12, x12, x16 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x15, x15, x5 + cset x8, cs + mov x11, #0xffffffff + adds x16, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x15, x10 + sbcs xzr, x8, xzr + csel x12, x12, x16, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x15, x15, x5, cc + stp x12, x13, [x0] + stp x14, x15, [x0, #16] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_alt_local_montmul_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_alt_local_montsqr_p256) + +Lp256_scalarmulbase_alt_local_montsqr_p256: + CFI_START + ldp x2, x3, [x1] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [x1, #16] + mul x11, x2, x5 + umulh x12, x2, x5 + mul x6, x2, x4 + umulh x7, x2, x4 + adds x10, x10, x6 + adcs x11, x11, x7 + mul x6, x3, x4 + umulh x7, x3, x4 + adc x7, x7, xzr + adds x11, x11, x6 + mul x13, x4, x5 + umulh x14, x4, x5 + adcs x12, x12, x7 + mul x6, x3, x5 + umulh x7, x3, x5 + adc x7, x7, xzr + adds x12, x12, x6 + adcs x13, x13, x7 + adc x14, x14, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + cset x7, cs + umulh x6, x2, x2 + mul x8, x2, x2 + adds x9, x9, x6 + mul x6, x3, x3 + adcs x10, x10, x6 + umulh x6, x3, x3 + adcs x11, x11, x6 + mul x6, x4, x4 + adcs x12, x12, x6 + umulh x6, x4, x4 + adcs x13, x13, x6 + mul x6, x5, x5 + adcs x14, x14, x6 + umulh x6, x5, x5 + adc x7, x7, x6 + mov x5, #0xffffffff00000001 + adds x9, x9, x8, lsl #32 + lsr x2, x8, #32 + adcs x10, x10, x2 + mul x2, x8, x5 + umulh x8, x8, x5 + adcs x11, x11, x2 + adc x8, x8, xzr + adds x10, x10, x9, lsl #32 + lsr x2, x9, #32 + adcs x11, x11, x2 + mul x2, x9, x5 + umulh x9, x9, x5 + adcs x8, x8, x2 + adc x9, x9, xzr + adds x11, x11, x10, lsl #32 + lsr x2, x10, #32 + adcs x8, x8, x2 + mul x2, x10, x5 + umulh x10, x10, x5 + adcs x9, x9, x2 + adc x10, x10, xzr + adds x8, x8, x11, lsl #32 + lsr x2, x11, #32 + adcs x9, x9, x2 + mul x2, x11, x5 + umulh x11, x11, x5 + adcs x10, x10, x2 + adc x11, x11, xzr + adds x8, x8, x12 + adcs x9, x9, x13 + adcs x10, x10, x14 + adcs x11, x11, x7 + cset x2, cs + mov x3, #0xffffffff + adds x12, x8, #0x1 + sbcs x13, x9, x3 + sbcs x14, x10, xzr + sbcs x7, x11, x5 + sbcs xzr, x2, xzr + csel x8, x8, x12, cc + csel x9, x9, x13, cc + csel x10, x10, x14, cc + csel x11, x11, x7, cc + stp x8, x9, [x0] + stp x10, x11, [x0, #16] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_alt_local_montsqr_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_alt_local_p256_montjmixadd) + +Lp256_scalarmulbase_alt_local_p256_montjmixadd: + CFI_START + CFI_DEC_SP(192) + mov x15, x0 + mov x16, x1 + mov x17, x2 + ldp x2, x3, [x16, #64] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [x16, #80] + mul x11, x2, x5 + umulh x12, x2, x5 + mul x6, x2, x4 + umulh x7, x2, x4 + adds x10, x10, x6 + adcs x11, x11, x7 + mul x6, x3, x4 + umulh x7, x3, x4 + adc x7, x7, xzr + adds x11, x11, x6 + mul x13, x4, x5 + umulh x14, x4, x5 + adcs x12, x12, x7 + mul x6, x3, x5 + umulh x7, x3, x5 + adc x7, x7, xzr + adds x12, x12, x6 + adcs x13, x13, x7 + adc x14, x14, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + cset x7, cs + umulh x6, x2, x2 + mul x8, x2, x2 + adds x9, x9, x6 + mul x6, x3, x3 + adcs x10, x10, x6 + umulh x6, x3, x3 + adcs x11, x11, x6 + mul x6, x4, x4 + adcs x12, x12, x6 + umulh x6, x4, x4 + adcs x13, x13, x6 + mul x6, x5, x5 + adcs x14, x14, x6 + umulh x6, x5, x5 + adc x7, x7, x6 + adds x9, x9, x8, lsl #32 + lsr x3, x8, #32 + adcs x10, x10, x3 + mov x3, #0xffffffff00000001 + mul x2, x8, x3 + umulh x8, x8, x3 + adcs x11, x11, x2 + adc x8, x8, xzr + adds x10, x10, x9, lsl #32 + lsr x3, x9, #32 + adcs x11, x11, x3 + mov x3, #0xffffffff00000001 + mul x2, x9, x3 + umulh x9, x9, x3 + adcs x8, x8, x2 + adc x9, x9, xzr + adds x11, x11, x10, lsl #32 + lsr x3, x10, #32 + adcs x8, x8, x3 + mov x3, #0xffffffff00000001 + mul x2, x10, x3 + umulh x10, x10, x3 + adcs x9, x9, x2 + adc x10, x10, xzr + adds x8, x8, x11, lsl #32 + lsr x3, x11, #32 + adcs x9, x9, x3 + mov x3, #0xffffffff00000001 + mul x2, x11, x3 + umulh x11, x11, x3 + adcs x10, x10, x2 + adc x11, x11, xzr + adds x8, x8, x12 + adcs x9, x9, x13 + adcs x10, x10, x14 + adcs x11, x11, x7 + mov x2, #0xffffffffffffffff + csel x2, xzr, x2, cc + mov x3, #0xffffffff + csel x3, xzr, x3, cc + mov x5, #0xffffffff00000001 + csel x5, xzr, x5, cc + subs x8, x8, x2 + sbcs x9, x9, x3 + sbcs x10, x10, xzr + sbc x11, x11, x5 + stp x8, x9, [sp] + stp x10, x11, [sp, #16] + ldp x3, x4, [x16, #64] + ldp x7, x8, [x17, #32] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [x17, #48] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [x16, #80] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #32] + stp x14, x0, [sp, #48] + ldp x3, x4, [sp] + ldp x7, x8, [x17] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [x17, #16] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #16] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #64] + stp x14, x0, [sp, #80] + ldp x3, x4, [sp] + ldp x7, x8, [sp, #32] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [sp, #48] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #16] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #32] + stp x14, x0, [sp, #48] + ldp x5, x6, [sp, #64] + ldp x4, x3, [x16] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #80] + ldp x4, x3, [x16, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #160] + stp x7, x8, [sp, #176] + ldp x5, x6, [sp, #32] + ldp x4, x3, [x16, #32] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #48] + ldp x4, x3, [x16, #48] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #32] + stp x7, x8, [sp, #48] + ldp x2, x3, [sp, #160] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [sp, #176] + mul x11, x2, x5 + umulh x12, x2, x5 + mul x6, x2, x4 + umulh x7, x2, x4 + adds x10, x10, x6 + adcs x11, x11, x7 + mul x6, x3, x4 + umulh x7, x3, x4 + adc x7, x7, xzr + adds x11, x11, x6 + mul x13, x4, x5 + umulh x14, x4, x5 + adcs x12, x12, x7 + mul x6, x3, x5 + umulh x7, x3, x5 + adc x7, x7, xzr + adds x12, x12, x6 + adcs x13, x13, x7 + adc x14, x14, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + cset x7, cs + umulh x6, x2, x2 + mul x8, x2, x2 + adds x9, x9, x6 + mul x6, x3, x3 + adcs x10, x10, x6 + umulh x6, x3, x3 + adcs x11, x11, x6 + mul x6, x4, x4 + adcs x12, x12, x6 + umulh x6, x4, x4 + adcs x13, x13, x6 + mul x6, x5, x5 + adcs x14, x14, x6 + umulh x6, x5, x5 + adc x7, x7, x6 + adds x9, x9, x8, lsl #32 + lsr x3, x8, #32 + adcs x10, x10, x3 + mov x3, #0xffffffff00000001 + mul x2, x8, x3 + umulh x8, x8, x3 + adcs x11, x11, x2 + adc x8, x8, xzr + adds x10, x10, x9, lsl #32 + lsr x3, x9, #32 + adcs x11, x11, x3 + mov x3, #0xffffffff00000001 + mul x2, x9, x3 + umulh x9, x9, x3 + adcs x8, x8, x2 + adc x9, x9, xzr + adds x11, x11, x10, lsl #32 + lsr x3, x10, #32 + adcs x8, x8, x3 + mov x3, #0xffffffff00000001 + mul x2, x10, x3 + umulh x10, x10, x3 + adcs x9, x9, x2 + adc x10, x10, xzr + adds x8, x8, x11, lsl #32 + lsr x3, x11, #32 + adcs x9, x9, x3 + mov x3, #0xffffffff00000001 + mul x2, x11, x3 + umulh x11, x11, x3 + adcs x10, x10, x2 + adc x11, x11, xzr + adds x8, x8, x12 + adcs x9, x9, x13 + adcs x10, x10, x14 + adcs x11, x11, x7 + mov x2, #0xffffffffffffffff + csel x2, xzr, x2, cc + mov x3, #0xffffffff + csel x3, xzr, x3, cc + mov x5, #0xffffffff00000001 + csel x5, xzr, x5, cc + subs x8, x8, x2 + sbcs x9, x9, x3 + sbcs x10, x10, xzr + sbc x11, x11, x5 + stp x8, x9, [sp, #96] + stp x10, x11, [sp, #112] + ldp x2, x3, [sp, #32] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [sp, #48] + mul x11, x2, x5 + umulh x12, x2, x5 + mul x6, x2, x4 + umulh x7, x2, x4 + adds x10, x10, x6 + adcs x11, x11, x7 + mul x6, x3, x4 + umulh x7, x3, x4 + adc x7, x7, xzr + adds x11, x11, x6 + mul x13, x4, x5 + umulh x14, x4, x5 + adcs x12, x12, x7 + mul x6, x3, x5 + umulh x7, x3, x5 + adc x7, x7, xzr + adds x12, x12, x6 + adcs x13, x13, x7 + adc x14, x14, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + cset x7, cs + umulh x6, x2, x2 + mul x8, x2, x2 + adds x9, x9, x6 + mul x6, x3, x3 + adcs x10, x10, x6 + umulh x6, x3, x3 + adcs x11, x11, x6 + mul x6, x4, x4 + adcs x12, x12, x6 + umulh x6, x4, x4 + adcs x13, x13, x6 + mul x6, x5, x5 + adcs x14, x14, x6 + umulh x6, x5, x5 + adc x7, x7, x6 + adds x9, x9, x8, lsl #32 + lsr x3, x8, #32 + adcs x10, x10, x3 + mov x3, #0xffffffff00000001 + mul x2, x8, x3 + umulh x8, x8, x3 + adcs x11, x11, x2 + adc x8, x8, xzr + adds x10, x10, x9, lsl #32 + lsr x3, x9, #32 + adcs x11, x11, x3 + mov x3, #0xffffffff00000001 + mul x2, x9, x3 + umulh x9, x9, x3 + adcs x8, x8, x2 + adc x9, x9, xzr + adds x11, x11, x10, lsl #32 + lsr x3, x10, #32 + adcs x8, x8, x3 + mov x3, #0xffffffff00000001 + mul x2, x10, x3 + umulh x10, x10, x3 + adcs x9, x9, x2 + adc x10, x10, xzr + adds x8, x8, x11, lsl #32 + lsr x3, x11, #32 + adcs x9, x9, x3 + mov x3, #0xffffffff00000001 + mul x2, x11, x3 + umulh x11, x11, x3 + adcs x10, x10, x2 + adc x11, x11, xzr + adds x8, x8, x12 + adcs x9, x9, x13 + adcs x10, x10, x14 + adcs x11, x11, x7 + cset x2, cs + mov x3, #0xffffffff + mov x5, #0xffffffff00000001 + adds x12, x8, #0x1 + sbcs x13, x9, x3 + sbcs x14, x10, xzr + sbcs x7, x11, x5 + sbcs xzr, x2, xzr + csel x8, x8, x12, cc + csel x9, x9, x13, cc + csel x10, x10, x14, cc + csel x11, x11, x7, cc + stp x8, x9, [sp] + stp x10, x11, [sp, #16] + ldp x3, x4, [sp, #96] + ldp x7, x8, [x16] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [x16, #16] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #112] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #128] + stp x14, x0, [sp, #144] + ldp x3, x4, [sp, #96] + ldp x7, x8, [sp, #64] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [sp, #80] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #112] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #64] + stp x14, x0, [sp, #80] + ldp x5, x6, [sp] + ldp x4, x3, [sp, #128] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #16] + ldp x4, x3, [sp, #144] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp] + stp x7, x8, [sp, #16] + ldp x5, x6, [sp, #64] + ldp x4, x3, [sp, #128] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #80] + ldp x4, x3, [sp, #144] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #96] + stp x7, x8, [sp, #112] + ldp x3, x4, [sp, #160] + ldp x7, x8, [x16, #64] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [x16, #80] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #176] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #160] + stp x14, x0, [sp, #176] + ldp x5, x6, [sp] + ldp x4, x3, [sp, #64] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #16] + ldp x4, x3, [sp, #80] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp] + stp x7, x8, [sp, #16] + ldp x5, x6, [sp, #128] + ldp x4, x3, [sp] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #144] + ldp x4, x3, [sp, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #128] + stp x7, x8, [sp, #144] + ldp x3, x4, [sp, #96] + ldp x7, x8, [x16, #32] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [x16, #48] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #112] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #96] + stp x14, x0, [sp, #112] + ldp x3, x4, [sp, #32] + ldp x7, x8, [sp, #128] + mul x12, x3, x7 + umulh x13, x3, x7 + mul x11, x3, x8 + umulh x14, x3, x8 + adds x13, x13, x11 + ldp x9, x10, [sp, #144] + mul x11, x3, x9 + umulh x0, x3, x9 + adcs x14, x14, x11 + mul x11, x3, x10 + umulh x1, x3, x10 + adcs x0, x0, x11 + adc x1, x1, xzr + ldp x5, x6, [sp, #48] + mul x11, x4, x7 + adds x13, x13, x11 + mul x11, x4, x8 + adcs x14, x14, x11 + mul x11, x4, x9 + adcs x0, x0, x11 + mul x11, x4, x10 + adcs x1, x1, x11 + umulh x3, x4, x10 + adc x3, x3, xzr + umulh x11, x4, x7 + adds x14, x14, x11 + umulh x11, x4, x8 + adcs x0, x0, x11 + umulh x11, x4, x9 + adcs x1, x1, x11 + adc x3, x3, xzr + mul x11, x5, x7 + adds x14, x14, x11 + mul x11, x5, x8 + adcs x0, x0, x11 + mul x11, x5, x9 + adcs x1, x1, x11 + mul x11, x5, x10 + adcs x3, x3, x11 + umulh x4, x5, x10 + adc x4, x4, xzr + umulh x11, x5, x7 + adds x0, x0, x11 + umulh x11, x5, x8 + adcs x1, x1, x11 + umulh x11, x5, x9 + adcs x3, x3, x11 + adc x4, x4, xzr + mul x11, x6, x7 + adds x0, x0, x11 + mul x11, x6, x8 + adcs x1, x1, x11 + mul x11, x6, x9 + adcs x3, x3, x11 + mul x11, x6, x10 + adcs x4, x4, x11 + umulh x5, x6, x10 + adc x5, x5, xzr + mov x10, #0xffffffff00000001 + adds x13, x13, x12, lsl #32 + lsr x11, x12, #32 + adcs x14, x14, x11 + mul x11, x12, x10 + umulh x12, x12, x10 + adcs x0, x0, x11 + adc x12, x12, xzr + umulh x11, x6, x7 + adds x1, x1, x11 + umulh x11, x6, x8 + adcs x3, x3, x11 + umulh x11, x6, x9 + adcs x4, x4, x11 + adc x5, x5, xzr + adds x14, x14, x13, lsl #32 + lsr x11, x13, #32 + adcs x0, x0, x11 + mul x11, x13, x10 + umulh x13, x13, x10 + adcs x12, x12, x11 + adc x13, x13, xzr + adds x0, x0, x14, lsl #32 + lsr x11, x14, #32 + adcs x12, x12, x11 + mul x11, x14, x10 + umulh x14, x14, x10 + adcs x13, x13, x11 + adc x14, x14, xzr + adds x12, x12, x0, lsl #32 + lsr x11, x0, #32 + adcs x13, x13, x11 + mul x11, x0, x10 + umulh x0, x0, x10 + adcs x14, x14, x11 + adc x0, x0, xzr + adds x12, x12, x1 + adcs x13, x13, x3 + adcs x14, x14, x4 + adcs x0, x0, x5 + cset x8, cs + mov x11, #0xffffffff + adds x1, x12, #0x1 + sbcs x3, x13, x11 + sbcs x4, x14, xzr + sbcs x5, x0, x10 + sbcs xzr, x8, xzr + csel x12, x12, x1, cc + csel x13, x13, x3, cc + csel x14, x14, x4, cc + csel x0, x0, x5, cc + stp x12, x13, [sp, #128] + stp x14, x0, [sp, #144] + ldp x5, x6, [sp, #128] + ldp x4, x3, [sp, #96] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #144] + ldp x4, x3, [sp, #112] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + csetm x3, cc + adds x5, x5, x3 + mov x4, #0xffffffff + and x4, x4, x3 + adcs x6, x6, x4 + adcs x7, x7, xzr + mov x4, #0xffffffff00000001 + and x4, x4, x3 + adc x8, x8, x4 + stp x5, x6, [sp, #128] + stp x7, x8, [sp, #144] + ldp x0, x1, [x16, #64] + ldp x2, x3, [x16, #80] + orr x4, x0, x1 + orr x5, x2, x3 + orr x4, x4, x5 + cmp x4, xzr + ldp x0, x1, [sp] + ldp x12, x13, [x17] + csel x0, x0, x12, ne + csel x1, x1, x13, ne + ldp x2, x3, [sp, #16] + ldp x12, x13, [x17, #16] + csel x2, x2, x12, ne + csel x3, x3, x13, ne + ldp x4, x5, [sp, #128] + ldp x12, x13, [x17, #32] + csel x4, x4, x12, ne + csel x5, x5, x13, ne + ldp x6, x7, [sp, #144] + ldp x12, x13, [x17, #48] + csel x6, x6, x12, ne + csel x7, x7, x13, ne + ldp x8, x9, [sp, #160] + mov x12, #0x1 + mov x13, #0xffffffff00000000 + csel x8, x8, x12, ne + csel x9, x9, x13, ne + ldp x10, x11, [sp, #176] + mov x12, #0xffffffffffffffff + mov x13, #0xfffffffe + csel x10, x10, x12, ne + csel x11, x11, x13, ne + stp x0, x1, [x15] + stp x2, x3, [x15, #16] + stp x4, x5, [x15, #32] + stp x6, x7, [x15, #48] + stp x8, x9, [x15, #64] + stp x10, x11, [x15, #80] + CFI_INC_SP(192) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_alt_local_p256_montjmixadd) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/arm/p384_montjscalarmul.S b/cbits/s2n/arm/p384_montjscalarmul.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/p384_montjscalarmul.S @@ -0,0 +1,10004 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Montgomery-Jacobian form scalar multiplication for P-384 +// Input scalar[6], point[18]; output res[18] +// +// extern void p384_montjscalarmul +// (uint64_t res[static 18], +// const uint64_t scalar[static 6], +// const uint64_t point[static 18]); +// +// This function is a variant of its affine point version p384_scalarmul. +// Here, input and output points are assumed to be in Jacobian form with +// their coordinates in the Montgomery domain. Thus, if priming indicates +// Montgomery form, x' = (2^384 * x) mod p_384 etc., each point argument +// is a triple (x',y',z') representing the affine point (x/z^2,y/z^3) when +// z' is nonzero or the point at infinity (group identity) if z' = 0. +// +// Given scalar = n and point = P, assumed to be on the NIST elliptic +// curve P-384, returns a representation of n * P. If the result is the +// point at infinity (either because the input point was or because the +// scalar was a multiple of p_384) then the output is guaranteed to +// represent the point at infinity, i.e. to have its z coordinate zero. +// +// Standard ARM ABI: X0 = res, X1 = scalar, X2 = point +// ---------------------------------------------------------------------------- + + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p384_montjscalarmul) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p384_montjscalarmul) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p384_montjscalarmul) + + + .text + .balign 4 + +// Size of individual field elements + +#define NUMSIZE 48 +#define JACSIZE (3*NUMSIZE) + +// Safe copies of input res and additional values in variables. + +#define bf x22 +#define sgn x23 +#define j x24 +#define res x25 + +// Intermediate variables on the stack. +// The table is 16 entries, each of size JACSIZE = 3 * NUMSIZE + +#define scalarb sp, #(0*NUMSIZE) +#define acc sp, #(1*NUMSIZE) +#define tabent sp, #(4*NUMSIZE) + +#define tab sp, #(7*NUMSIZE) + +#define NSPACE 55*NUMSIZE + +// Avoid using .rep for the sake of the BoringSSL/AWS-LC delocator, +// which doesn't accept repetitions, assembler macros etc. + +#define selectblock(I) \ + cmp bf, #(1*I) __LF \ + ldp x20, x21, [x19] __LF \ + csel x0, x20, x0, eq __LF \ + csel x1, x21, x1, eq __LF \ + ldp x20, x21, [x19, #16] __LF \ + csel x2, x20, x2, eq __LF \ + csel x3, x21, x3, eq __LF \ + ldp x20, x21, [x19, #32] __LF \ + csel x4, x20, x4, eq __LF \ + csel x5, x21, x5, eq __LF \ + ldp x20, x21, [x19, #48] __LF \ + csel x6, x20, x6, eq __LF \ + csel x7, x21, x7, eq __LF \ + ldp x20, x21, [x19, #64] __LF \ + csel x8, x20, x8, eq __LF \ + csel x9, x21, x9, eq __LF \ + ldp x20, x21, [x19, #80] __LF \ + csel x10, x20, x10, eq __LF \ + csel x11, x21, x11, eq __LF \ + ldp x20, x21, [x19, #96] __LF \ + csel x12, x20, x12, eq __LF \ + csel x13, x21, x13, eq __LF \ + ldp x20, x21, [x19, #112] __LF \ + csel x14, x20, x14, eq __LF \ + csel x15, x21, x15, eq __LF \ + ldp x20, x21, [x19, #128] __LF \ + csel x16, x20, x16, eq __LF \ + csel x17, x21, x17, eq __LF \ + add x19, x19, #JACSIZE + +// Loading large constants + +#define movbig(nn,n3,n2,n1,n0) \ + movz nn, n0 __LF \ + movk nn, n1, lsl #16 __LF \ + movk nn, n2, lsl #32 __LF \ + movk nn, n3, lsl #48 + +S2N_BN_SYMBOL(p384_montjscalarmul): + CFI_START + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_PUSH2(x25,x30) + CFI_DEC_SP(NSPACE) + +// Preserve the "res" input argument; others get processed early. + + mov res, x0 + +// Reduce the input scalar mod n_384, i.e. conditionally subtract n_384. +// Store it to "scalarb". + + ldp x3, x4, [x1] + movbig(x15, #0xecec, #0x196a, #0xccc5, #0x2973) + ldp x5, x6, [x1, #16] + movbig(x16, #0x581a, #0x0db2, #0x48b0, #0xa77a) + ldp x7, x8, [x1, #32] + movbig(x17, #0xc763, #0x4d81, #0xf437, #0x2ddf) + + subs x9, x3, x15 + sbcs x10, x4, x16 + sbcs x11, x5, x17 + adcs x12, x6, xzr + adcs x13, x7, xzr + adcs x14, x8, xzr + + csel x3, x3, x9, cc + csel x4, x4, x10, cc + csel x5, x5, x11, cc + csel x6, x6, x12, cc + csel x7, x7, x13, cc + csel x8, x8, x14, cc + + stp x3, x4, [scalarb] + stp x5, x6, [scalarb+16] + stp x7, x8, [scalarb+32] + +// Set the tab[0] table entry to the input point = 1 * P + + ldp x10, x11, [x2] + stp x10, x11, [tab] + ldp x12, x13, [x2, #16] + stp x12, x13, [tab+16] + ldp x14, x15, [x2, #32] + stp x14, x15, [tab+32] + + ldp x10, x11, [x2, #48] + stp x10, x11, [tab+48] + ldp x12, x13, [x2, #64] + stp x12, x13, [tab+64] + ldp x14, x15, [x2, #80] + stp x14, x15, [tab+80] + + ldp x10, x11, [x2, #96] + stp x10, x11, [tab+96] + ldp x12, x13, [x2, #112] + stp x12, x13, [tab+112] + ldp x14, x15, [x2, #128] + stp x14, x15, [tab+128] + +// Compute and record tab[1] = 2 * p, ..., tab[15] = 16 * P + + add x0, tab+JACSIZE*1 + add x1, tab + CFI_BL(Lp384_montjscalarmul_p384_montjdouble) + + add x0, tab+JACSIZE*2 + add x1, tab+JACSIZE*1 + add x2, tab + CFI_BL(Lp384_montjscalarmul_p384_montjadd) + + add x0, tab+JACSIZE*3 + add x1, tab+JACSIZE*1 + CFI_BL(Lp384_montjscalarmul_p384_montjdouble) + + add x0, tab+JACSIZE*4 + add x1, tab+JACSIZE*3 + add x2, tab + CFI_BL(Lp384_montjscalarmul_p384_montjadd) + + add x0, tab+JACSIZE*5 + add x1, tab+JACSIZE*2 + CFI_BL(Lp384_montjscalarmul_p384_montjdouble) + + add x0, tab+JACSIZE*6 + add x1, tab+JACSIZE*5 + add x2, tab + CFI_BL(Lp384_montjscalarmul_p384_montjadd) + + add x0, tab+JACSIZE*7 + add x1, tab+JACSIZE*3 + CFI_BL(Lp384_montjscalarmul_p384_montjdouble) + + add x0, tab+JACSIZE*8 + add x1, tab+JACSIZE*7 + add x2, tab + CFI_BL(Lp384_montjscalarmul_p384_montjadd) + + add x0, tab+JACSIZE*9 + add x1, tab+JACSIZE*4 + CFI_BL(Lp384_montjscalarmul_p384_montjdouble) + + add x0, tab+JACSIZE*10 + add x1, tab+JACSIZE*9 + add x2, tab + CFI_BL(Lp384_montjscalarmul_p384_montjadd) + + add x0, tab+JACSIZE*11 + add x1, tab+JACSIZE*5 + CFI_BL(Lp384_montjscalarmul_p384_montjdouble) + + add x0, tab+JACSIZE*12 + add x1, tab+JACSIZE*11 + add x2, tab + CFI_BL(Lp384_montjscalarmul_p384_montjadd) + + add x0, tab+JACSIZE*13 + add x1, tab+JACSIZE*6 + CFI_BL(Lp384_montjscalarmul_p384_montjdouble) + + add x0, tab+JACSIZE*14 + add x1, tab+JACSIZE*13 + add x2, tab + CFI_BL(Lp384_montjscalarmul_p384_montjadd) + + add x0, tab+JACSIZE*15 + add x1, tab+JACSIZE*7 + CFI_BL(Lp384_montjscalarmul_p384_montjdouble) + +// Add the recoding constant sum_i(16 * 32^i) to the scalar to allow signed +// digits. The digits of the constant, in lowest-to-highest order, are as +// follows; they are generated dynamically since none is a simple ARM load. +// +// 0x0842108421084210 +// 0x1084210842108421 +// 0x2108421084210842 +// 0x4210842108421084 +// 0x8421084210842108 +// 0x0842108421084210 + + ldp x0, x1, [scalarb] + ldp x2, x3, [scalarb+16] + ldp x4, x5, [scalarb+32] + movbig(x8, #0x1084, #0x2108, #0x4210, #0x8421) + adds x0, x0, x8, lsr #1 + adcs x1, x1, x8 + lsl x8, x8, #1 + adcs x2, x2, x8 + lsl x8, x8, #1 + adcs x3, x3, x8 + lsl x8, x8, #1 + adcs x4, x4, x8 + lsr x8, x8, #4 + adcs x5, x5, x8 + cset x6, cs + +// Record the top bitfield then shift the whole scalar left 4 bits +// to align the top of the next bitfield with the MSB (bits 379..383). + + extr bf, x6, x5, #60 + extr x5, x5, x4, #60 + extr x4, x4, x3, #60 + extr x3, x3, x2, #60 + extr x2, x2, x1, #60 + extr x1, x1, x0, #60 + lsl x0, x0, #4 + stp x0, x1, [scalarb] + stp x2, x3, [scalarb+16] + stp x4, x5, [scalarb+32] + +// Initialize the accumulator to the corresponding entry using constant-time +// lookup in the table. This top digit, uniquely, is not recoded so there is +// no sign adjustment to make. + + mov x0, xzr + mov x1, xzr + mov x2, xzr + mov x3, xzr + mov x4, xzr + mov x5, xzr + mov x6, xzr + mov x7, xzr + mov x8, xzr + mov x9, xzr + mov x10, xzr + mov x11, xzr + mov x12, xzr + mov x13, xzr + mov x14, xzr + mov x15, xzr + mov x16, xzr + mov x17, xzr + + add x19, tab + + selectblock(1) + selectblock(2) + selectblock(3) + selectblock(4) + selectblock(5) + selectblock(6) + selectblock(7) + selectblock(8) + selectblock(9) + selectblock(10) + selectblock(11) + selectblock(12) + selectblock(13) + selectblock(14) + selectblock(15) + selectblock(16) + + stp x0, x1, [acc] + stp x2, x3, [acc+16] + stp x4, x5, [acc+32] + stp x6, x7, [acc+48] + stp x8, x9, [acc+64] + stp x10, x11, [acc+80] + stp x12, x13, [acc+96] + stp x14, x15, [acc+112] + stp x16, x17, [acc+128] + + mov j, #380 + +// Main loop over size-5 bitfields: double 5 times then add signed digit +// At each stage we shift the scalar left by 5 bits so we can simply pick +// the top 5 bits as the bitfield, saving some fiddle over indexing. + +Lp384_montjscalarmul_mainloop: + sub j, j, #5 + + add x0, acc + add x1, acc + CFI_BL(Lp384_montjscalarmul_p384_montjdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp384_montjscalarmul_p384_montjdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp384_montjscalarmul_p384_montjdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp384_montjscalarmul_p384_montjdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp384_montjscalarmul_p384_montjdouble) + +// Choose the bitfield and adjust it to sign and magnitude + + ldp x0, x1, [scalarb] + ldp x2, x3, [scalarb+16] + ldp x4, x5, [scalarb+32] + lsr bf, x5, #59 + extr x5, x5, x4, #59 + extr x4, x4, x3, #59 + extr x3, x3, x2, #59 + extr x2, x2, x1, #59 + extr x1, x1, x0, #59 + lsl x0, x0, #5 + stp x0, x1, [scalarb] + stp x2, x3, [scalarb+16] + stp x4, x5, [scalarb+32] + + subs bf, bf, #16 + cset sgn, lo // sgn = sign of digit (1 = negative) + cneg bf, bf, lo // bf = absolute value of digit + +// Conditionally select the table entry tab[i-1] = i * P in constant time + + mov x0, xzr + mov x1, xzr + mov x2, xzr + mov x3, xzr + mov x4, xzr + mov x5, xzr + mov x6, xzr + mov x7, xzr + mov x8, xzr + mov x9, xzr + mov x10, xzr + mov x11, xzr + mov x12, xzr + mov x13, xzr + mov x14, xzr + mov x15, xzr + mov x16, xzr + mov x17, xzr + + add x19, tab + + selectblock(1) + selectblock(2) + selectblock(3) + selectblock(4) + selectblock(5) + selectblock(6) + selectblock(7) + selectblock(8) + selectblock(9) + selectblock(10) + selectblock(11) + selectblock(12) + selectblock(13) + selectblock(14) + selectblock(15) + selectblock(16) + +// Store it to "tabent" with the y coordinate optionally negated. +// This is done carefully to give coordinates < p_384 even in +// the degenerate case y = 0 (when z = 0 for points on the curve). + + stp x0, x1, [tabent] + stp x2, x3, [tabent+16] + stp x4, x5, [tabent+32] + + stp x12, x13, [tabent+96] + stp x14, x15, [tabent+112] + stp x16, x17, [tabent+128] + + mov x0, #0x00000000ffffffff + subs x0, x0, x6 + orr x12, x6, x7 + mov x1, #0xffffffff00000000 + sbcs x1, x1, x7 + orr x13, x8, x9 + mov x2, #0xfffffffffffffffe + sbcs x2, x2, x8 + orr x14, x10, x11 + mov x5, #0xffffffffffffffff + sbcs x3, x5, x9 + orr x12, x12, x13 + sbcs x4, x5, x10 + orr x12, x12, x14 + sbcs x5, x5, x11 + + cmp sgn, xzr + ccmp x12, xzr, #4, ne + + csel x6, x0, x6, ne + csel x7, x1, x7, ne + csel x8, x2, x8, ne + csel x9, x3, x9, ne + csel x10, x4, x10, ne + csel x11, x5, x11, ne + + stp x6, x7, [tabent+48] + stp x8, x9, [tabent+64] + stp x10, x11, [tabent+80] + +// Add to the accumulator + + add x0, acc + add x1, acc + add x2, tabent + CFI_BL(Lp384_montjscalarmul_p384_montjadd) + + cbnz j, Lp384_montjscalarmul_mainloop + +// That's the end of the main loop, and we just need to copy the +// result in "acc" to the output. + + ldp x0, x1, [acc] + stp x0, x1, [res] + ldp x0, x1, [acc+16] + stp x0, x1, [res, #16] + ldp x0, x1, [acc+32] + stp x0, x1, [res, #32] + ldp x0, x1, [acc+48] + stp x0, x1, [res, #48] + ldp x0, x1, [acc+64] + stp x0, x1, [res, #64] + ldp x0, x1, [acc+80] + stp x0, x1, [res, #80] + ldp x0, x1, [acc+96] + stp x0, x1, [res, #96] + ldp x0, x1, [acc+112] + stp x0, x1, [res, #112] + ldp x0, x1, [acc+128] + stp x0, x1, [res, #128] + +// Restore stack and registers and return + + CFI_INC_SP(NSPACE) + CFI_POP2(x25,x30) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p384_montjscalarmul) + +// Local copies of subroutines, complete clones at the moment + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp384_montjscalarmul_p384_montjadd) + +Lp384_montjscalarmul_p384_montjadd: + CFI_START + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_PUSH2(x25,x26) + CFI_PUSH1Z(x27) + CFI_DEC_SP(384) + mov x24, x0 + mov x25, x1 + mov x26, x2 + mov x0, sp + ldr q1, [x25, #96] + ldp x9, x2, [x25, #96] + ldr q0, [x25, #96] + ldp x4, x6, [x25, #112] + rev64 v21.4s, v1.4s + uzp2 v28.4s, v1.4s, v1.4s + umulh x7, x9, x2 + xtn v17.2s, v1.2d + mul v27.4s, v21.4s, v0.4s + ldr q20, [x25, #128] + xtn v30.2s, v0.2d + ldr q1, [x25, #128] + uzp2 v31.4s, v0.4s, v0.4s + ldp x5, x10, [x25, #128] + umulh x8, x9, x4 + uaddlp v3.2d, v27.4s + umull v16.2d, v30.2s, v17.2s + mul x16, x9, x4 + umull v27.2d, v30.2s, v28.2s + shrn v0.2s, v20.2d, #32 + xtn v7.2s, v20.2d + shl v20.2d, v3.2d, #32 + umull v3.2d, v31.2s, v28.2s + mul x3, x2, x4 + umlal v20.2d, v30.2s, v17.2s + umull v22.2d, v7.2s, v0.2s + usra v27.2d, v16.2d, #32 + umulh x11, x2, x4 + movi v21.2d, #0xffffffff + uzp2 v28.4s, v1.4s, v1.4s + adds x15, x16, x7 + and v5.16b, v27.16b, v21.16b + adcs x3, x3, x8 + usra v3.2d, v27.2d, #32 + dup v29.2d, x6 + adcs x16, x11, xzr + mov x14, v20.d[0] + umlal v5.2d, v31.2s, v17.2s + mul x8, x9, x2 + mov x7, v20.d[1] + shl v19.2d, v22.2d, #33 + xtn v25.2s, v29.2d + rev64 v31.4s, v1.4s + lsl x13, x14, #32 + uzp2 v6.4s, v29.4s, v29.4s + umlal v19.2d, v7.2s, v7.2s + usra v3.2d, v5.2d, #32 + adds x1, x8, x8 + umulh x8, x4, x4 + add x12, x13, x14 + mul v17.4s, v31.4s, v29.4s + xtn v4.2s, v1.2d + adcs x14, x15, x15 + lsr x13, x12, #32 + adcs x15, x3, x3 + umull v31.2d, v25.2s, v28.2s + adcs x11, x16, x16 + umull v21.2d, v25.2s, v4.2s + mov x17, v3.d[0] + umull v18.2d, v6.2s, v28.2s + adc x16, x8, xzr + uaddlp v16.2d, v17.4s + movi v1.2d, #0xffffffff + subs x13, x13, x12 + usra v31.2d, v21.2d, #32 + sbc x8, x12, xzr + adds x17, x17, x1 + mul x1, x4, x4 + shl v28.2d, v16.2d, #32 + mov x3, v3.d[1] + adcs x14, x7, x14 + extr x7, x8, x13, #32 + adcs x13, x3, x15 + and v3.16b, v31.16b, v1.16b + adcs x11, x1, x11 + lsr x1, x8, #32 + umlal v3.2d, v6.2s, v4.2s + usra v18.2d, v31.2d, #32 + adc x3, x16, xzr + adds x1, x1, x12 + umlal v28.2d, v25.2s, v4.2s + adc x16, xzr, xzr + subs x15, x17, x7 + sbcs x7, x14, x1 + lsl x1, x15, #32 + sbcs x16, x13, x16 + add x8, x1, x15 + usra v18.2d, v3.2d, #32 + sbcs x14, x11, xzr + lsr x1, x8, #32 + sbcs x17, x3, xzr + sbc x11, x12, xzr + subs x13, x1, x8 + umulh x12, x4, x10 + sbc x1, x8, xzr + extr x13, x1, x13, #32 + lsr x1, x1, #32 + adds x15, x1, x8 + adc x1, xzr, xzr + subs x7, x7, x13 + sbcs x13, x16, x15 + lsl x3, x7, #32 + umulh x16, x2, x5 + sbcs x15, x14, x1 + add x7, x3, x7 + sbcs x3, x17, xzr + lsr x1, x7, #32 + sbcs x14, x11, xzr + sbc x11, x8, xzr + subs x8, x1, x7 + sbc x1, x7, xzr + extr x8, x1, x8, #32 + lsr x1, x1, #32 + adds x1, x1, x7 + adc x17, xzr, xzr + subs x13, x13, x8 + umulh x8, x9, x6 + sbcs x1, x15, x1 + sbcs x15, x3, x17 + sbcs x3, x14, xzr + mul x17, x2, x5 + sbcs x11, x11, xzr + stp x13, x1, [x0] + sbc x14, x7, xzr + mul x7, x4, x10 + subs x1, x9, x2 + stp x15, x3, [x0, #16] + csetm x15, cc // cc = lo, ul, last + cneg x1, x1, cc // cc = lo, ul, last + stp x11, x14, [x0, #32] + mul x14, x9, x6 + adds x17, x8, x17 + adcs x7, x16, x7 + adc x13, x12, xzr + subs x12, x5, x6 + cneg x3, x12, cc // cc = lo, ul, last + cinv x16, x15, cc // cc = lo, ul, last + mul x8, x1, x3 + umulh x1, x1, x3 + eor x12, x8, x16 + adds x11, x17, x14 + adcs x3, x7, x17 + adcs x15, x13, x7 + adc x8, x13, xzr + adds x3, x3, x14 + adcs x15, x15, x17 + adcs x17, x8, x7 + eor x1, x1, x16 + adc x13, x13, xzr + subs x9, x9, x4 + csetm x8, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x4, x2, x4 + cneg x4, x4, cc // cc = lo, ul, last + csetm x7, cc // cc = lo, ul, last + subs x2, x10, x6 + cinv x8, x8, cc // cc = lo, ul, last + cneg x2, x2, cc // cc = lo, ul, last + cmn x16, #0x1 + adcs x11, x11, x12 + mul x12, x9, x2 + adcs x3, x3, x1 + adcs x15, x15, x16 + umulh x9, x9, x2 + adcs x17, x17, x16 + adc x13, x13, x16 + subs x1, x10, x5 + cinv x2, x7, cc // cc = lo, ul, last + cneg x1, x1, cc // cc = lo, ul, last + eor x9, x9, x8 + cmn x8, #0x1 + eor x7, x12, x8 + mul x12, x4, x1 + adcs x3, x3, x7 + adcs x7, x15, x9 + adcs x15, x17, x8 + ldp x9, x17, [x0, #16] + umulh x4, x4, x1 + adc x8, x13, x8 + cmn x2, #0x1 + eor x1, x12, x2 + adcs x1, x7, x1 + ldp x7, x16, [x0] + eor x12, x4, x2 + adcs x4, x15, x12 + ldp x15, x12, [x0, #32] + adc x8, x8, x2 + adds x13, x14, x14 + umulh x14, x5, x10 + adcs x2, x11, x11 + adcs x3, x3, x3 + adcs x1, x1, x1 + adcs x4, x4, x4 + adcs x11, x8, x8 + adc x8, xzr, xzr + adds x13, x13, x7 + adcs x2, x2, x16 + mul x16, x5, x10 + adcs x3, x3, x9 + adcs x1, x1, x17 + umulh x5, x5, x5 + lsl x9, x13, #32 + add x9, x9, x13 + adcs x4, x4, x15 + mov x13, v28.d[1] + adcs x15, x11, x12 + lsr x7, x9, #32 + adc x11, x8, xzr + subs x7, x7, x9 + umulh x10, x10, x10 + sbc x17, x9, xzr + extr x7, x17, x7, #32 + lsr x17, x17, #32 + adds x17, x17, x9 + adc x12, xzr, xzr + subs x8, x2, x7 + sbcs x17, x3, x17 + lsl x7, x8, #32 + sbcs x2, x1, x12 + add x3, x7, x8 + sbcs x12, x4, xzr + lsr x1, x3, #32 + sbcs x7, x15, xzr + sbc x15, x9, xzr + subs x1, x1, x3 + sbc x4, x3, xzr + lsr x9, x4, #32 + extr x8, x4, x1, #32 + adds x9, x9, x3 + adc x4, xzr, xzr + subs x1, x17, x8 + lsl x17, x1, #32 + sbcs x8, x2, x9 + sbcs x9, x12, x4 + add x17, x17, x1 + mov x1, v18.d[1] + lsr x2, x17, #32 + sbcs x7, x7, xzr + mov x12, v18.d[0] + sbcs x15, x15, xzr + sbc x3, x3, xzr + subs x4, x2, x17 + sbc x2, x17, xzr + adds x12, x13, x12 + adcs x16, x16, x1 + lsr x13, x2, #32 + extr x1, x2, x4, #32 + adc x2, x14, xzr + adds x4, x13, x17 + mul x13, x6, x6 + adc x14, xzr, xzr + subs x1, x8, x1 + sbcs x4, x9, x4 + mov x9, v28.d[0] + sbcs x7, x7, x14 + sbcs x8, x15, xzr + sbcs x3, x3, xzr + sbc x14, x17, xzr + adds x17, x9, x9 + adcs x12, x12, x12 + mov x15, v19.d[0] + adcs x9, x16, x16 + umulh x6, x6, x6 + adcs x16, x2, x2 + adc x2, xzr, xzr + adds x11, x11, x8 + adcs x3, x3, xzr + adcs x14, x14, xzr + adcs x8, xzr, xzr + adds x13, x1, x13 + mov x1, v19.d[1] + adcs x6, x4, x6 + mov x4, #0xffffffff // #4294967295 + adcs x15, x7, x15 + adcs x7, x11, x5 + adcs x1, x3, x1 + adcs x14, x14, x10 + adc x11, x8, xzr + adds x6, x6, x17 + adcs x8, x15, x12 + adcs x3, x7, x9 + adcs x15, x1, x16 + mov x16, #0xffffffff00000001 // #-4294967295 + adcs x14, x14, x2 + mov x2, #0x1 // #1 + adc x17, x11, xzr + cmn x13, x16 + adcs xzr, x6, x4 + adcs xzr, x8, x2 + adcs xzr, x3, xzr + adcs xzr, x15, xzr + adcs xzr, x14, xzr + adc x1, x17, xzr + neg x9, x1 + and x1, x16, x9 + adds x11, x13, x1 + and x13, x4, x9 + adcs x5, x6, x13 + and x1, x2, x9 + adcs x7, x8, x1 + stp x11, x5, [x0] + adcs x11, x3, xzr + adcs x2, x15, xzr + stp x7, x11, [x0, #16] + adc x17, x14, xzr + stp x2, x17, [x0, #32] + ldr q1, [x26, #96] + ldp x9, x2, [x26, #96] + ldr q0, [x26, #96] + ldp x4, x6, [x26, #112] + rev64 v21.4s, v1.4s + uzp2 v28.4s, v1.4s, v1.4s + umulh x7, x9, x2 + xtn v17.2s, v1.2d + mul v27.4s, v21.4s, v0.4s + ldr q20, [x26, #128] + xtn v30.2s, v0.2d + ldr q1, [x26, #128] + uzp2 v31.4s, v0.4s, v0.4s + ldp x5, x10, [x26, #128] + umulh x8, x9, x4 + uaddlp v3.2d, v27.4s + umull v16.2d, v30.2s, v17.2s + mul x16, x9, x4 + umull v27.2d, v30.2s, v28.2s + shrn v0.2s, v20.2d, #32 + xtn v7.2s, v20.2d + shl v20.2d, v3.2d, #32 + umull v3.2d, v31.2s, v28.2s + mul x3, x2, x4 + umlal v20.2d, v30.2s, v17.2s + umull v22.2d, v7.2s, v0.2s + usra v27.2d, v16.2d, #32 + umulh x11, x2, x4 + movi v21.2d, #0xffffffff + uzp2 v28.4s, v1.4s, v1.4s + adds x15, x16, x7 + and v5.16b, v27.16b, v21.16b + adcs x3, x3, x8 + usra v3.2d, v27.2d, #32 + dup v29.2d, x6 + adcs x16, x11, xzr + mov x14, v20.d[0] + umlal v5.2d, v31.2s, v17.2s + mul x8, x9, x2 + mov x7, v20.d[1] + shl v19.2d, v22.2d, #33 + xtn v25.2s, v29.2d + rev64 v31.4s, v1.4s + lsl x13, x14, #32 + uzp2 v6.4s, v29.4s, v29.4s + umlal v19.2d, v7.2s, v7.2s + usra v3.2d, v5.2d, #32 + adds x1, x8, x8 + umulh x8, x4, x4 + add x12, x13, x14 + mul v17.4s, v31.4s, v29.4s + xtn v4.2s, v1.2d + adcs x14, x15, x15 + lsr x13, x12, #32 + adcs x15, x3, x3 + umull v31.2d, v25.2s, v28.2s + adcs x11, x16, x16 + umull v21.2d, v25.2s, v4.2s + mov x17, v3.d[0] + umull v18.2d, v6.2s, v28.2s + adc x16, x8, xzr + uaddlp v16.2d, v17.4s + movi v1.2d, #0xffffffff + subs x13, x13, x12 + usra v31.2d, v21.2d, #32 + sbc x8, x12, xzr + adds x17, x17, x1 + mul x1, x4, x4 + shl v28.2d, v16.2d, #32 + mov x3, v3.d[1] + adcs x14, x7, x14 + extr x7, x8, x13, #32 + adcs x13, x3, x15 + and v3.16b, v31.16b, v1.16b + adcs x11, x1, x11 + lsr x1, x8, #32 + umlal v3.2d, v6.2s, v4.2s + usra v18.2d, v31.2d, #32 + adc x3, x16, xzr + adds x1, x1, x12 + umlal v28.2d, v25.2s, v4.2s + adc x16, xzr, xzr + subs x15, x17, x7 + sbcs x7, x14, x1 + lsl x1, x15, #32 + sbcs x16, x13, x16 + add x8, x1, x15 + usra v18.2d, v3.2d, #32 + sbcs x14, x11, xzr + lsr x1, x8, #32 + sbcs x17, x3, xzr + sbc x11, x12, xzr + subs x13, x1, x8 + umulh x12, x4, x10 + sbc x1, x8, xzr + extr x13, x1, x13, #32 + lsr x1, x1, #32 + adds x15, x1, x8 + adc x1, xzr, xzr + subs x7, x7, x13 + sbcs x13, x16, x15 + lsl x3, x7, #32 + umulh x16, x2, x5 + sbcs x15, x14, x1 + add x7, x3, x7 + sbcs x3, x17, xzr + lsr x1, x7, #32 + sbcs x14, x11, xzr + sbc x11, x8, xzr + subs x8, x1, x7 + sbc x1, x7, xzr + extr x8, x1, x8, #32 + lsr x1, x1, #32 + adds x1, x1, x7 + adc x17, xzr, xzr + subs x13, x13, x8 + umulh x8, x9, x6 + sbcs x1, x15, x1 + sbcs x15, x3, x17 + sbcs x3, x14, xzr + mul x17, x2, x5 + sbcs x11, x11, xzr + stp x13, x1, [sp, #240] + sbc x14, x7, xzr + mul x7, x4, x10 + subs x1, x9, x2 + stp x15, x3, [sp, #256] + csetm x15, cc // cc = lo, ul, last + cneg x1, x1, cc // cc = lo, ul, last + stp x11, x14, [sp, #272] + mul x14, x9, x6 + adds x17, x8, x17 + adcs x7, x16, x7 + adc x13, x12, xzr + subs x12, x5, x6 + cneg x3, x12, cc // cc = lo, ul, last + cinv x16, x15, cc // cc = lo, ul, last + mul x8, x1, x3 + umulh x1, x1, x3 + eor x12, x8, x16 + adds x11, x17, x14 + adcs x3, x7, x17 + adcs x15, x13, x7 + adc x8, x13, xzr + adds x3, x3, x14 + adcs x15, x15, x17 + adcs x17, x8, x7 + eor x1, x1, x16 + adc x13, x13, xzr + subs x9, x9, x4 + csetm x8, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x4, x2, x4 + cneg x4, x4, cc // cc = lo, ul, last + csetm x7, cc // cc = lo, ul, last + subs x2, x10, x6 + cinv x8, x8, cc // cc = lo, ul, last + cneg x2, x2, cc // cc = lo, ul, last + cmn x16, #0x1 + adcs x11, x11, x12 + mul x12, x9, x2 + adcs x3, x3, x1 + adcs x15, x15, x16 + umulh x9, x9, x2 + adcs x17, x17, x16 + adc x13, x13, x16 + subs x1, x10, x5 + cinv x2, x7, cc // cc = lo, ul, last + cneg x1, x1, cc // cc = lo, ul, last + eor x9, x9, x8 + cmn x8, #0x1 + eor x7, x12, x8 + mul x12, x4, x1 + adcs x3, x3, x7 + adcs x7, x15, x9 + adcs x15, x17, x8 + ldp x9, x17, [sp, #256] + umulh x4, x4, x1 + adc x8, x13, x8 + cmn x2, #0x1 + eor x1, x12, x2 + adcs x1, x7, x1 + ldp x7, x16, [sp, #240] + eor x12, x4, x2 + adcs x4, x15, x12 + ldp x15, x12, [sp, #272] + adc x8, x8, x2 + adds x13, x14, x14 + umulh x14, x5, x10 + adcs x2, x11, x11 + adcs x3, x3, x3 + adcs x1, x1, x1 + adcs x4, x4, x4 + adcs x11, x8, x8 + adc x8, xzr, xzr + adds x13, x13, x7 + adcs x2, x2, x16 + mul x16, x5, x10 + adcs x3, x3, x9 + adcs x1, x1, x17 + umulh x5, x5, x5 + lsl x9, x13, #32 + add x9, x9, x13 + adcs x4, x4, x15 + mov x13, v28.d[1] + adcs x15, x11, x12 + lsr x7, x9, #32 + adc x11, x8, xzr + subs x7, x7, x9 + umulh x10, x10, x10 + sbc x17, x9, xzr + extr x7, x17, x7, #32 + lsr x17, x17, #32 + adds x17, x17, x9 + adc x12, xzr, xzr + subs x8, x2, x7 + sbcs x17, x3, x17 + lsl x7, x8, #32 + sbcs x2, x1, x12 + add x3, x7, x8 + sbcs x12, x4, xzr + lsr x1, x3, #32 + sbcs x7, x15, xzr + sbc x15, x9, xzr + subs x1, x1, x3 + sbc x4, x3, xzr + lsr x9, x4, #32 + extr x8, x4, x1, #32 + adds x9, x9, x3 + adc x4, xzr, xzr + subs x1, x17, x8 + lsl x17, x1, #32 + sbcs x8, x2, x9 + sbcs x9, x12, x4 + add x17, x17, x1 + mov x1, v18.d[1] + lsr x2, x17, #32 + sbcs x7, x7, xzr + mov x12, v18.d[0] + sbcs x15, x15, xzr + sbc x3, x3, xzr + subs x4, x2, x17 + sbc x2, x17, xzr + adds x12, x13, x12 + adcs x16, x16, x1 + lsr x13, x2, #32 + extr x1, x2, x4, #32 + adc x2, x14, xzr + adds x4, x13, x17 + mul x13, x6, x6 + adc x14, xzr, xzr + subs x1, x8, x1 + sbcs x4, x9, x4 + mov x9, v28.d[0] + sbcs x7, x7, x14 + sbcs x8, x15, xzr + sbcs x3, x3, xzr + sbc x14, x17, xzr + adds x17, x9, x9 + adcs x12, x12, x12 + mov x15, v19.d[0] + adcs x9, x16, x16 + umulh x6, x6, x6 + adcs x16, x2, x2 + adc x2, xzr, xzr + adds x11, x11, x8 + adcs x3, x3, xzr + adcs x14, x14, xzr + adcs x8, xzr, xzr + adds x13, x1, x13 + mov x1, v19.d[1] + adcs x6, x4, x6 + mov x4, #0xffffffff // #4294967295 + adcs x15, x7, x15 + adcs x7, x11, x5 + adcs x1, x3, x1 + adcs x14, x14, x10 + adc x11, x8, xzr + adds x6, x6, x17 + adcs x8, x15, x12 + adcs x3, x7, x9 + adcs x15, x1, x16 + mov x16, #0xffffffff00000001 // #-4294967295 + adcs x14, x14, x2 + mov x2, #0x1 // #1 + adc x17, x11, xzr + cmn x13, x16 + adcs xzr, x6, x4 + adcs xzr, x8, x2 + adcs xzr, x3, xzr + adcs xzr, x15, xzr + adcs xzr, x14, xzr + adc x1, x17, xzr + neg x9, x1 + and x1, x16, x9 + adds x11, x13, x1 + and x13, x4, x9 + adcs x5, x6, x13 + and x1, x2, x9 + adcs x7, x8, x1 + stp x11, x5, [sp, #240] + adcs x11, x3, xzr + adcs x2, x15, xzr + stp x7, x11, [sp, #256] + adc x17, x14, xzr + stp x2, x17, [sp, #272] + stp x23, x24, [sp, #0x150] + ldr q3, [x26, #96] + ldr q25, [x25, #48] + ldp x13, x23, [x25, #48] + ldp x3, x21, [x26, #96] + rev64 v23.4s, v25.4s + uzp1 v17.4s, v25.4s, v3.4s + umulh x15, x3, x13 + mul v6.4s, v23.4s, v3.4s + uzp1 v3.4s, v3.4s, v3.4s + ldr q27, [x25, #80] + ldp x8, x24, [x26, #112] + subs x6, x3, x21 + ldr q0, [x26, #128] + movi v23.2d, #0xffffffff + csetm x10, cc // cc = lo, ul, last + umulh x19, x21, x23 + rev64 v4.4s, v27.4s + uzp2 v25.4s, v27.4s, v27.4s + cneg x4, x6, cc // cc = lo, ul, last + subs x7, x23, x13 + xtn v22.2s, v0.2d + xtn v24.2s, v27.2d + cneg x20, x7, cc // cc = lo, ul, last + ldp x6, x14, [x25, #64] + mul v27.4s, v4.4s, v0.4s + uaddlp v20.2d, v6.4s + cinv x5, x10, cc // cc = lo, ul, last + mul x16, x4, x20 + uzp2 v6.4s, v0.4s, v0.4s + umull v21.2d, v22.2s, v25.2s + shl v0.2d, v20.2d, #32 + umlal v0.2d, v3.2s, v17.2s + mul x22, x8, x6 + umull v1.2d, v6.2s, v25.2s + subs x12, x3, x8 + umull v20.2d, v22.2s, v24.2s + cneg x17, x12, cc // cc = lo, ul, last + umulh x9, x8, x6 + mov x12, v0.d[1] + eor x11, x16, x5 + mov x7, v0.d[0] + csetm x10, cc // cc = lo, ul, last + usra v21.2d, v20.2d, #32 + adds x15, x15, x12 + adcs x12, x19, x22 + umulh x20, x4, x20 + adc x19, x9, xzr + usra v1.2d, v21.2d, #32 + adds x22, x15, x7 + and v26.16b, v21.16b, v23.16b + adcs x16, x12, x15 + uaddlp v25.2d, v27.4s + adcs x9, x19, x12 + umlal v26.2d, v6.2s, v24.2s + adc x4, x19, xzr + adds x16, x16, x7 + shl v27.2d, v25.2d, #32 + adcs x9, x9, x15 + adcs x4, x4, x12 + eor x12, x20, x5 + adc x15, x19, xzr + subs x20, x6, x13 + cneg x20, x20, cc // cc = lo, ul, last + cinv x10, x10, cc // cc = lo, ul, last + cmn x5, #0x1 + mul x19, x17, x20 + adcs x11, x22, x11 + adcs x12, x16, x12 + adcs x9, x9, x5 + umulh x17, x17, x20 + adcs x22, x4, x5 + adc x5, x15, x5 + subs x16, x21, x8 + cneg x20, x16, cc // cc = lo, ul, last + eor x19, x19, x10 + csetm x4, cc // cc = lo, ul, last + subs x16, x6, x23 + cneg x16, x16, cc // cc = lo, ul, last + umlal v27.2d, v22.2s, v24.2s + mul x15, x20, x16 + cinv x4, x4, cc // cc = lo, ul, last + cmn x10, #0x1 + usra v1.2d, v26.2d, #32 + adcs x19, x12, x19 + eor x17, x17, x10 + adcs x9, x9, x17 + adcs x22, x22, x10 + lsl x12, x7, #32 + umulh x20, x20, x16 + eor x16, x15, x4 + ldp x15, x17, [x25, #80] + add x2, x12, x7 + adc x7, x5, x10 + ldp x5, x10, [x26, #128] + lsr x1, x2, #32 + eor x12, x20, x4 + subs x1, x1, x2 + sbc x20, x2, xzr + cmn x4, #0x1 + adcs x9, x9, x16 + extr x1, x20, x1, #32 + lsr x20, x20, #32 + adcs x22, x22, x12 + adc x16, x7, x4 + adds x12, x20, x2 + umulh x7, x24, x14 + adc x4, xzr, xzr + subs x1, x11, x1 + sbcs x20, x19, x12 + sbcs x12, x9, x4 + lsl x9, x1, #32 + add x1, x9, x1 + sbcs x9, x22, xzr + mul x22, x24, x14 + sbcs x16, x16, xzr + lsr x4, x1, #32 + sbc x19, x2, xzr + subs x4, x4, x1 + sbc x11, x1, xzr + extr x2, x11, x4, #32 + lsr x4, x11, #32 + adds x4, x4, x1 + adc x11, xzr, xzr + subs x2, x20, x2 + sbcs x4, x12, x4 + sbcs x20, x9, x11 + lsl x12, x2, #32 + add x2, x12, x2 + sbcs x9, x16, xzr + lsr x11, x2, #32 + sbcs x19, x19, xzr + sbc x1, x1, xzr + subs x16, x11, x2 + sbc x12, x2, xzr + extr x16, x12, x16, #32 + lsr x12, x12, #32 + adds x11, x12, x2 + adc x12, xzr, xzr + subs x16, x4, x16 + mov x4, v27.d[0] + sbcs x11, x20, x11 + sbcs x20, x9, x12 + stp x16, x11, [sp, #288] + sbcs x11, x19, xzr + sbcs x9, x1, xzr + stp x20, x11, [sp, #304] + mov x1, v1.d[0] + sbc x20, x2, xzr + subs x12, x24, x5 + mov x11, v27.d[1] + cneg x16, x12, cc // cc = lo, ul, last + csetm x2, cc // cc = lo, ul, last + subs x19, x15, x14 + mov x12, v1.d[1] + cinv x2, x2, cc // cc = lo, ul, last + cneg x19, x19, cc // cc = lo, ul, last + stp x9, x20, [sp, #320] + mul x9, x16, x19 + adds x4, x7, x4 + adcs x11, x1, x11 + adc x1, x12, xzr + adds x20, x4, x22 + umulh x19, x16, x19 + adcs x7, x11, x4 + eor x16, x9, x2 + adcs x9, x1, x11 + adc x12, x1, xzr + adds x7, x7, x22 + adcs x4, x9, x4 + adcs x9, x12, x11 + adc x12, x1, xzr + cmn x2, #0x1 + eor x1, x19, x2 + adcs x11, x20, x16 + adcs x19, x7, x1 + adcs x1, x4, x2 + adcs x20, x9, x2 + adc x2, x12, x2 + subs x12, x24, x10 + cneg x16, x12, cc // cc = lo, ul, last + csetm x12, cc // cc = lo, ul, last + subs x9, x17, x14 + cinv x12, x12, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x3, x24, x3 + sbcs x21, x5, x21 + mul x24, x16, x9 + sbcs x4, x10, x8 + ngc x8, xzr + subs x10, x5, x10 + eor x5, x24, x12 + csetm x7, cc // cc = lo, ul, last + cneg x24, x10, cc // cc = lo, ul, last + subs x10, x17, x15 + cinv x7, x7, cc // cc = lo, ul, last + cneg x10, x10, cc // cc = lo, ul, last + subs x14, x13, x14 + sbcs x15, x23, x15 + eor x13, x21, x8 + mul x23, x24, x10 + sbcs x17, x6, x17 + eor x6, x3, x8 + ngc x21, xzr + umulh x9, x16, x9 + cmn x8, #0x1 + eor x3, x23, x7 + adcs x23, x6, xzr + adcs x13, x13, xzr + eor x16, x4, x8 + adc x16, x16, xzr + eor x4, x17, x21 + umulh x17, x24, x10 + cmn x21, #0x1 + eor x24, x14, x21 + eor x6, x15, x21 + adcs x15, x24, xzr + adcs x14, x6, xzr + adc x6, x4, xzr + cmn x12, #0x1 + eor x4, x9, x12 + adcs x19, x19, x5 + umulh x5, x23, x15 + adcs x1, x1, x4 + adcs x10, x20, x12 + eor x4, x17, x7 + ldp x20, x9, [sp, #288] + adc x2, x2, x12 + cmn x7, #0x1 + adcs x12, x1, x3 + ldp x17, x24, [sp, #304] + mul x1, x16, x6 + adcs x3, x10, x4 + adc x2, x2, x7 + ldp x7, x4, [sp, #320] + adds x20, x22, x20 + mul x10, x13, x14 + adcs x11, x11, x9 + eor x9, x8, x21 + adcs x21, x19, x17 + stp x20, x11, [sp, #288] + adcs x12, x12, x24 + mul x8, x23, x15 + adcs x3, x3, x7 + stp x21, x12, [sp, #304] + adcs x12, x2, x4 + adc x19, xzr, xzr + subs x21, x23, x16 + umulh x2, x16, x6 + stp x3, x12, [sp, #320] + cneg x3, x21, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + umulh x11, x13, x14 + subs x21, x13, x16 + eor x7, x8, x9 + cneg x17, x21, cc // cc = lo, ul, last + csetm x16, cc // cc = lo, ul, last + subs x21, x6, x15 + cneg x22, x21, cc // cc = lo, ul, last + cinv x21, x24, cc // cc = lo, ul, last + subs x20, x23, x13 + umulh x12, x3, x22 + cneg x23, x20, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + subs x20, x14, x15 + cinv x24, x24, cc // cc = lo, ul, last + mul x22, x3, x22 + cneg x3, x20, cc // cc = lo, ul, last + subs x13, x6, x14 + cneg x20, x13, cc // cc = lo, ul, last + cinv x15, x16, cc // cc = lo, ul, last + adds x13, x5, x10 + mul x4, x23, x3 + adcs x11, x11, x1 + adc x14, x2, xzr + adds x5, x13, x8 + adcs x16, x11, x13 + umulh x23, x23, x3 + adcs x3, x14, x11 + adc x1, x14, xzr + adds x10, x16, x8 + adcs x6, x3, x13 + adcs x8, x1, x11 + umulh x13, x17, x20 + eor x1, x4, x24 + adc x4, x14, xzr + cmn x24, #0x1 + adcs x1, x5, x1 + eor x16, x23, x24 + eor x11, x1, x9 + adcs x23, x10, x16 + eor x2, x22, x21 + adcs x3, x6, x24 + mul x14, x17, x20 + eor x17, x13, x15 + adcs x13, x8, x24 + adc x8, x4, x24 + cmn x21, #0x1 + adcs x6, x23, x2 + mov x16, #0xfffffffffffffffe // #-2 + eor x20, x12, x21 + adcs x20, x3, x20 + eor x23, x14, x15 + adcs x2, x13, x21 + adc x8, x8, x21 + cmn x15, #0x1 + ldp x5, x4, [sp, #288] + ldp x21, x12, [sp, #304] + adcs x22, x20, x23 + eor x23, x22, x9 + adcs x17, x2, x17 + adc x22, x8, x15 + cmn x9, #0x1 + adcs x15, x7, x5 + ldp x10, x14, [sp, #320] + eor x1, x6, x9 + lsl x2, x15, #32 + adcs x8, x11, x4 + adcs x13, x1, x21 + eor x1, x22, x9 + adcs x24, x23, x12 + eor x11, x17, x9 + adcs x23, x11, x10 + adcs x7, x1, x14 + adcs x17, x9, x19 + adcs x20, x9, xzr + add x1, x2, x15 + lsr x3, x1, #32 + adcs x11, x9, xzr + adc x9, x9, xzr + subs x3, x3, x1 + sbc x6, x1, xzr + adds x24, x24, x5 + adcs x4, x23, x4 + extr x3, x6, x3, #32 + lsr x6, x6, #32 + adcs x21, x7, x21 + adcs x15, x17, x12 + adcs x7, x20, x10 + adcs x20, x11, x14 + mov x14, #0xffffffff // #4294967295 + adc x22, x9, x19 + adds x12, x6, x1 + adc x10, xzr, xzr + subs x3, x8, x3 + sbcs x12, x13, x12 + lsl x9, x3, #32 + add x3, x9, x3 + sbcs x10, x24, x10 + sbcs x24, x4, xzr + lsr x9, x3, #32 + sbcs x21, x21, xzr + sbc x1, x1, xzr + subs x9, x9, x3 + sbc x13, x3, xzr + extr x9, x13, x9, #32 + lsr x13, x13, #32 + adds x13, x13, x3 + adc x6, xzr, xzr + subs x12, x12, x9 + sbcs x17, x10, x13 + lsl x2, x12, #32 + sbcs x10, x24, x6 + add x9, x2, x12 + sbcs x6, x21, xzr + lsr x5, x9, #32 + sbcs x21, x1, xzr + sbc x13, x3, xzr + subs x8, x5, x9 + sbc x19, x9, xzr + lsr x12, x19, #32 + extr x3, x19, x8, #32 + adds x8, x12, x9 + adc x1, xzr, xzr + subs x2, x17, x3 + sbcs x12, x10, x8 + sbcs x5, x6, x1 + sbcs x3, x21, xzr + sbcs x19, x13, xzr + sbc x24, x9, xzr + adds x23, x15, x3 + adcs x8, x7, x19 + adcs x11, x20, x24 + adc x9, x22, xzr + add x24, x9, #0x1 + lsl x7, x24, #32 + subs x21, x24, x7 + sbc x10, x7, xzr + adds x6, x2, x21 + adcs x7, x12, x10 + adcs x24, x5, x24 + adcs x13, x23, xzr + adcs x8, x8, xzr + adcs x15, x11, xzr + csetm x23, cc // cc = lo, ul, last + and x11, x16, x23 + and x20, x14, x23 + adds x22, x6, x20 + eor x3, x20, x23 + adcs x5, x7, x3 + adcs x14, x24, x11 + stp x22, x5, [sp, #288] + adcs x5, x13, x23 + adcs x21, x8, x23 + stp x14, x5, [sp, #304] + adc x12, x15, x23 + stp x21, x12, [sp, #320] + ldr q3, [x25, #96] + ldr q25, [x26, #48] + ldp x13, x23, [x26, #48] + ldp x3, x21, [x25, #96] + rev64 v23.4s, v25.4s + uzp1 v17.4s, v25.4s, v3.4s + umulh x15, x3, x13 + mul v6.4s, v23.4s, v3.4s + uzp1 v3.4s, v3.4s, v3.4s + ldr q27, [x26, #80] + ldp x8, x24, [x25, #112] + subs x6, x3, x21 + ldr q0, [x25, #128] + movi v23.2d, #0xffffffff + csetm x10, cc // cc = lo, ul, last + umulh x19, x21, x23 + rev64 v4.4s, v27.4s + uzp2 v25.4s, v27.4s, v27.4s + cneg x4, x6, cc // cc = lo, ul, last + subs x7, x23, x13 + xtn v22.2s, v0.2d + xtn v24.2s, v27.2d + cneg x20, x7, cc // cc = lo, ul, last + ldp x6, x14, [x26, #64] + mul v27.4s, v4.4s, v0.4s + uaddlp v20.2d, v6.4s + cinv x5, x10, cc // cc = lo, ul, last + mul x16, x4, x20 + uzp2 v6.4s, v0.4s, v0.4s + umull v21.2d, v22.2s, v25.2s + shl v0.2d, v20.2d, #32 + umlal v0.2d, v3.2s, v17.2s + mul x22, x8, x6 + umull v1.2d, v6.2s, v25.2s + subs x12, x3, x8 + umull v20.2d, v22.2s, v24.2s + cneg x17, x12, cc // cc = lo, ul, last + umulh x9, x8, x6 + mov x12, v0.d[1] + eor x11, x16, x5 + mov x7, v0.d[0] + csetm x10, cc // cc = lo, ul, last + usra v21.2d, v20.2d, #32 + adds x15, x15, x12 + adcs x12, x19, x22 + umulh x20, x4, x20 + adc x19, x9, xzr + usra v1.2d, v21.2d, #32 + adds x22, x15, x7 + and v26.16b, v21.16b, v23.16b + adcs x16, x12, x15 + uaddlp v25.2d, v27.4s + adcs x9, x19, x12 + umlal v26.2d, v6.2s, v24.2s + adc x4, x19, xzr + adds x16, x16, x7 + shl v27.2d, v25.2d, #32 + adcs x9, x9, x15 + adcs x4, x4, x12 + eor x12, x20, x5 + adc x15, x19, xzr + subs x20, x6, x13 + cneg x20, x20, cc // cc = lo, ul, last + cinv x10, x10, cc // cc = lo, ul, last + cmn x5, #0x1 + mul x19, x17, x20 + adcs x11, x22, x11 + adcs x12, x16, x12 + adcs x9, x9, x5 + umulh x17, x17, x20 + adcs x22, x4, x5 + adc x5, x15, x5 + subs x16, x21, x8 + cneg x20, x16, cc // cc = lo, ul, last + eor x19, x19, x10 + csetm x4, cc // cc = lo, ul, last + subs x16, x6, x23 + cneg x16, x16, cc // cc = lo, ul, last + umlal v27.2d, v22.2s, v24.2s + mul x15, x20, x16 + cinv x4, x4, cc // cc = lo, ul, last + cmn x10, #0x1 + usra v1.2d, v26.2d, #32 + adcs x19, x12, x19 + eor x17, x17, x10 + adcs x9, x9, x17 + adcs x22, x22, x10 + lsl x12, x7, #32 + umulh x20, x20, x16 + eor x16, x15, x4 + ldp x15, x17, [x26, #80] + add x2, x12, x7 + adc x7, x5, x10 + ldp x5, x10, [x25, #128] + lsr x1, x2, #32 + eor x12, x20, x4 + subs x1, x1, x2 + sbc x20, x2, xzr + cmn x4, #0x1 + adcs x9, x9, x16 + extr x1, x20, x1, #32 + lsr x20, x20, #32 + adcs x22, x22, x12 + adc x16, x7, x4 + adds x12, x20, x2 + umulh x7, x24, x14 + adc x4, xzr, xzr + subs x1, x11, x1 + sbcs x20, x19, x12 + sbcs x12, x9, x4 + lsl x9, x1, #32 + add x1, x9, x1 + sbcs x9, x22, xzr + mul x22, x24, x14 + sbcs x16, x16, xzr + lsr x4, x1, #32 + sbc x19, x2, xzr + subs x4, x4, x1 + sbc x11, x1, xzr + extr x2, x11, x4, #32 + lsr x4, x11, #32 + adds x4, x4, x1 + adc x11, xzr, xzr + subs x2, x20, x2 + sbcs x4, x12, x4 + sbcs x20, x9, x11 + lsl x12, x2, #32 + add x2, x12, x2 + sbcs x9, x16, xzr + lsr x11, x2, #32 + sbcs x19, x19, xzr + sbc x1, x1, xzr + subs x16, x11, x2 + sbc x12, x2, xzr + extr x16, x12, x16, #32 + lsr x12, x12, #32 + adds x11, x12, x2 + adc x12, xzr, xzr + subs x16, x4, x16 + mov x4, v27.d[0] + sbcs x11, x20, x11 + sbcs x20, x9, x12 + stp x16, x11, [sp, #48] + sbcs x11, x19, xzr + sbcs x9, x1, xzr + stp x20, x11, [sp, #64] + mov x1, v1.d[0] + sbc x20, x2, xzr + subs x12, x24, x5 + mov x11, v27.d[1] + cneg x16, x12, cc // cc = lo, ul, last + csetm x2, cc // cc = lo, ul, last + subs x19, x15, x14 + mov x12, v1.d[1] + cinv x2, x2, cc // cc = lo, ul, last + cneg x19, x19, cc // cc = lo, ul, last + stp x9, x20, [sp, #80] + mul x9, x16, x19 + adds x4, x7, x4 + adcs x11, x1, x11 + adc x1, x12, xzr + adds x20, x4, x22 + umulh x19, x16, x19 + adcs x7, x11, x4 + eor x16, x9, x2 + adcs x9, x1, x11 + adc x12, x1, xzr + adds x7, x7, x22 + adcs x4, x9, x4 + adcs x9, x12, x11 + adc x12, x1, xzr + cmn x2, #0x1 + eor x1, x19, x2 + adcs x11, x20, x16 + adcs x19, x7, x1 + adcs x1, x4, x2 + adcs x20, x9, x2 + adc x2, x12, x2 + subs x12, x24, x10 + cneg x16, x12, cc // cc = lo, ul, last + csetm x12, cc // cc = lo, ul, last + subs x9, x17, x14 + cinv x12, x12, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x3, x24, x3 + sbcs x21, x5, x21 + mul x24, x16, x9 + sbcs x4, x10, x8 + ngc x8, xzr + subs x10, x5, x10 + eor x5, x24, x12 + csetm x7, cc // cc = lo, ul, last + cneg x24, x10, cc // cc = lo, ul, last + subs x10, x17, x15 + cinv x7, x7, cc // cc = lo, ul, last + cneg x10, x10, cc // cc = lo, ul, last + subs x14, x13, x14 + sbcs x15, x23, x15 + eor x13, x21, x8 + mul x23, x24, x10 + sbcs x17, x6, x17 + eor x6, x3, x8 + ngc x21, xzr + umulh x9, x16, x9 + cmn x8, #0x1 + eor x3, x23, x7 + adcs x23, x6, xzr + adcs x13, x13, xzr + eor x16, x4, x8 + adc x16, x16, xzr + eor x4, x17, x21 + umulh x17, x24, x10 + cmn x21, #0x1 + eor x24, x14, x21 + eor x6, x15, x21 + adcs x15, x24, xzr + adcs x14, x6, xzr + adc x6, x4, xzr + cmn x12, #0x1 + eor x4, x9, x12 + adcs x19, x19, x5 + umulh x5, x23, x15 + adcs x1, x1, x4 + adcs x10, x20, x12 + eor x4, x17, x7 + ldp x20, x9, [sp, #48] + adc x2, x2, x12 + cmn x7, #0x1 + adcs x12, x1, x3 + ldp x17, x24, [sp, #64] + mul x1, x16, x6 + adcs x3, x10, x4 + adc x2, x2, x7 + ldp x7, x4, [sp, #80] + adds x20, x22, x20 + mul x10, x13, x14 + adcs x11, x11, x9 + eor x9, x8, x21 + adcs x21, x19, x17 + stp x20, x11, [sp, #48] + adcs x12, x12, x24 + mul x8, x23, x15 + adcs x3, x3, x7 + stp x21, x12, [sp, #64] + adcs x12, x2, x4 + adc x19, xzr, xzr + subs x21, x23, x16 + umulh x2, x16, x6 + stp x3, x12, [sp, #80] + cneg x3, x21, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + umulh x11, x13, x14 + subs x21, x13, x16 + eor x7, x8, x9 + cneg x17, x21, cc // cc = lo, ul, last + csetm x16, cc // cc = lo, ul, last + subs x21, x6, x15 + cneg x22, x21, cc // cc = lo, ul, last + cinv x21, x24, cc // cc = lo, ul, last + subs x20, x23, x13 + umulh x12, x3, x22 + cneg x23, x20, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + subs x20, x14, x15 + cinv x24, x24, cc // cc = lo, ul, last + mul x22, x3, x22 + cneg x3, x20, cc // cc = lo, ul, last + subs x13, x6, x14 + cneg x20, x13, cc // cc = lo, ul, last + cinv x15, x16, cc // cc = lo, ul, last + adds x13, x5, x10 + mul x4, x23, x3 + adcs x11, x11, x1 + adc x14, x2, xzr + adds x5, x13, x8 + adcs x16, x11, x13 + umulh x23, x23, x3 + adcs x3, x14, x11 + adc x1, x14, xzr + adds x10, x16, x8 + adcs x6, x3, x13 + adcs x8, x1, x11 + umulh x13, x17, x20 + eor x1, x4, x24 + adc x4, x14, xzr + cmn x24, #0x1 + adcs x1, x5, x1 + eor x16, x23, x24 + eor x11, x1, x9 + adcs x23, x10, x16 + eor x2, x22, x21 + adcs x3, x6, x24 + mul x14, x17, x20 + eor x17, x13, x15 + adcs x13, x8, x24 + adc x8, x4, x24 + cmn x21, #0x1 + adcs x6, x23, x2 + mov x16, #0xfffffffffffffffe // #-2 + eor x20, x12, x21 + adcs x20, x3, x20 + eor x23, x14, x15 + adcs x2, x13, x21 + adc x8, x8, x21 + cmn x15, #0x1 + ldp x5, x4, [sp, #48] + ldp x21, x12, [sp, #64] + adcs x22, x20, x23 + eor x23, x22, x9 + adcs x17, x2, x17 + adc x22, x8, x15 + cmn x9, #0x1 + adcs x15, x7, x5 + ldp x10, x14, [sp, #80] + eor x1, x6, x9 + lsl x2, x15, #32 + adcs x8, x11, x4 + adcs x13, x1, x21 + eor x1, x22, x9 + adcs x24, x23, x12 + eor x11, x17, x9 + adcs x23, x11, x10 + adcs x7, x1, x14 + adcs x17, x9, x19 + adcs x20, x9, xzr + add x1, x2, x15 + lsr x3, x1, #32 + adcs x11, x9, xzr + adc x9, x9, xzr + subs x3, x3, x1 + sbc x6, x1, xzr + adds x24, x24, x5 + adcs x4, x23, x4 + extr x3, x6, x3, #32 + lsr x6, x6, #32 + adcs x21, x7, x21 + adcs x15, x17, x12 + adcs x7, x20, x10 + adcs x20, x11, x14 + mov x14, #0xffffffff // #4294967295 + adc x22, x9, x19 + adds x12, x6, x1 + adc x10, xzr, xzr + subs x3, x8, x3 + sbcs x12, x13, x12 + lsl x9, x3, #32 + add x3, x9, x3 + sbcs x10, x24, x10 + sbcs x24, x4, xzr + lsr x9, x3, #32 + sbcs x21, x21, xzr + sbc x1, x1, xzr + subs x9, x9, x3 + sbc x13, x3, xzr + extr x9, x13, x9, #32 + lsr x13, x13, #32 + adds x13, x13, x3 + adc x6, xzr, xzr + subs x12, x12, x9 + sbcs x17, x10, x13 + lsl x2, x12, #32 + sbcs x10, x24, x6 + add x9, x2, x12 + sbcs x6, x21, xzr + lsr x5, x9, #32 + sbcs x21, x1, xzr + sbc x13, x3, xzr + subs x8, x5, x9 + sbc x19, x9, xzr + lsr x12, x19, #32 + extr x3, x19, x8, #32 + adds x8, x12, x9 + adc x1, xzr, xzr + subs x2, x17, x3 + sbcs x12, x10, x8 + sbcs x5, x6, x1 + sbcs x3, x21, xzr + sbcs x19, x13, xzr + sbc x24, x9, xzr + adds x23, x15, x3 + adcs x8, x7, x19 + adcs x11, x20, x24 + adc x9, x22, xzr + add x24, x9, #0x1 + lsl x7, x24, #32 + subs x21, x24, x7 + sbc x10, x7, xzr + adds x6, x2, x21 + adcs x7, x12, x10 + adcs x24, x5, x24 + adcs x13, x23, xzr + adcs x8, x8, xzr + adcs x15, x11, xzr + csetm x23, cc // cc = lo, ul, last + and x11, x16, x23 + and x20, x14, x23 + adds x22, x6, x20 + eor x3, x20, x23 + adcs x5, x7, x3 + adcs x14, x24, x11 + stp x22, x5, [sp, #48] + adcs x5, x13, x23 + adcs x21, x8, x23 + stp x14, x5, [sp, #64] + adc x12, x15, x23 + stp x21, x12, [sp, #80] + mov x1, sp + ldr q3, [x1] + ldr q25, [x26] + ldp x13, x23, [x26] + ldp x3, x21, [x1] + rev64 v23.4s, v25.4s + uzp1 v17.4s, v25.4s, v3.4s + umulh x15, x3, x13 + mul v6.4s, v23.4s, v3.4s + uzp1 v3.4s, v3.4s, v3.4s + ldr q27, [x26, #32] + ldp x8, x24, [x1, #16] + subs x6, x3, x21 + ldr q0, [x1, #32] + movi v23.2d, #0xffffffff + csetm x10, cc // cc = lo, ul, last + umulh x19, x21, x23 + rev64 v4.4s, v27.4s + uzp2 v25.4s, v27.4s, v27.4s + cneg x4, x6, cc // cc = lo, ul, last + subs x7, x23, x13 + xtn v22.2s, v0.2d + xtn v24.2s, v27.2d + cneg x20, x7, cc // cc = lo, ul, last + ldp x6, x14, [x26, #16] + mul v27.4s, v4.4s, v0.4s + uaddlp v20.2d, v6.4s + cinv x5, x10, cc // cc = lo, ul, last + mul x16, x4, x20 + uzp2 v6.4s, v0.4s, v0.4s + umull v21.2d, v22.2s, v25.2s + shl v0.2d, v20.2d, #32 + umlal v0.2d, v3.2s, v17.2s + mul x22, x8, x6 + umull v1.2d, v6.2s, v25.2s + subs x12, x3, x8 + umull v20.2d, v22.2s, v24.2s + cneg x17, x12, cc // cc = lo, ul, last + umulh x9, x8, x6 + mov x12, v0.d[1] + eor x11, x16, x5 + mov x7, v0.d[0] + csetm x10, cc // cc = lo, ul, last + usra v21.2d, v20.2d, #32 + adds x15, x15, x12 + adcs x12, x19, x22 + umulh x20, x4, x20 + adc x19, x9, xzr + usra v1.2d, v21.2d, #32 + adds x22, x15, x7 + and v26.16b, v21.16b, v23.16b + adcs x16, x12, x15 + uaddlp v25.2d, v27.4s + adcs x9, x19, x12 + umlal v26.2d, v6.2s, v24.2s + adc x4, x19, xzr + adds x16, x16, x7 + shl v27.2d, v25.2d, #32 + adcs x9, x9, x15 + adcs x4, x4, x12 + eor x12, x20, x5 + adc x15, x19, xzr + subs x20, x6, x13 + cneg x20, x20, cc // cc = lo, ul, last + cinv x10, x10, cc // cc = lo, ul, last + cmn x5, #0x1 + mul x19, x17, x20 + adcs x11, x22, x11 + adcs x12, x16, x12 + adcs x9, x9, x5 + umulh x17, x17, x20 + adcs x22, x4, x5 + adc x5, x15, x5 + subs x16, x21, x8 + cneg x20, x16, cc // cc = lo, ul, last + eor x19, x19, x10 + csetm x4, cc // cc = lo, ul, last + subs x16, x6, x23 + cneg x16, x16, cc // cc = lo, ul, last + umlal v27.2d, v22.2s, v24.2s + mul x15, x20, x16 + cinv x4, x4, cc // cc = lo, ul, last + cmn x10, #0x1 + usra v1.2d, v26.2d, #32 + adcs x19, x12, x19 + eor x17, x17, x10 + adcs x9, x9, x17 + adcs x22, x22, x10 + lsl x12, x7, #32 + umulh x20, x20, x16 + eor x16, x15, x4 + ldp x15, x17, [x26, #32] + add x2, x12, x7 + adc x7, x5, x10 + ldp x5, x10, [x1, #32] + lsr x1, x2, #32 + eor x12, x20, x4 + subs x1, x1, x2 + sbc x20, x2, xzr + cmn x4, #0x1 + adcs x9, x9, x16 + extr x1, x20, x1, #32 + lsr x20, x20, #32 + adcs x22, x22, x12 + adc x16, x7, x4 + adds x12, x20, x2 + umulh x7, x24, x14 + adc x4, xzr, xzr + subs x1, x11, x1 + sbcs x20, x19, x12 + sbcs x12, x9, x4 + lsl x9, x1, #32 + add x1, x9, x1 + sbcs x9, x22, xzr + mul x22, x24, x14 + sbcs x16, x16, xzr + lsr x4, x1, #32 + sbc x19, x2, xzr + subs x4, x4, x1 + sbc x11, x1, xzr + extr x2, x11, x4, #32 + lsr x4, x11, #32 + adds x4, x4, x1 + adc x11, xzr, xzr + subs x2, x20, x2 + sbcs x4, x12, x4 + sbcs x20, x9, x11 + lsl x12, x2, #32 + add x2, x12, x2 + sbcs x9, x16, xzr + lsr x11, x2, #32 + sbcs x19, x19, xzr + sbc x1, x1, xzr + subs x16, x11, x2 + sbc x12, x2, xzr + extr x16, x12, x16, #32 + lsr x12, x12, #32 + adds x11, x12, x2 + adc x12, xzr, xzr + subs x16, x4, x16 + mov x4, v27.d[0] + sbcs x11, x20, x11 + sbcs x20, x9, x12 + stp x16, x11, [sp, #96] + sbcs x11, x19, xzr + sbcs x9, x1, xzr + stp x20, x11, [sp, #112] + mov x1, v1.d[0] + sbc x20, x2, xzr + subs x12, x24, x5 + mov x11, v27.d[1] + cneg x16, x12, cc // cc = lo, ul, last + csetm x2, cc // cc = lo, ul, last + subs x19, x15, x14 + mov x12, v1.d[1] + cinv x2, x2, cc // cc = lo, ul, last + cneg x19, x19, cc // cc = lo, ul, last + stp x9, x20, [sp, #128] + mul x9, x16, x19 + adds x4, x7, x4 + adcs x11, x1, x11 + adc x1, x12, xzr + adds x20, x4, x22 + umulh x19, x16, x19 + adcs x7, x11, x4 + eor x16, x9, x2 + adcs x9, x1, x11 + adc x12, x1, xzr + adds x7, x7, x22 + adcs x4, x9, x4 + adcs x9, x12, x11 + adc x12, x1, xzr + cmn x2, #0x1 + eor x1, x19, x2 + adcs x11, x20, x16 + adcs x19, x7, x1 + adcs x1, x4, x2 + adcs x20, x9, x2 + adc x2, x12, x2 + subs x12, x24, x10 + cneg x16, x12, cc // cc = lo, ul, last + csetm x12, cc // cc = lo, ul, last + subs x9, x17, x14 + cinv x12, x12, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x3, x24, x3 + sbcs x21, x5, x21 + mul x24, x16, x9 + sbcs x4, x10, x8 + ngc x8, xzr + subs x10, x5, x10 + eor x5, x24, x12 + csetm x7, cc // cc = lo, ul, last + cneg x24, x10, cc // cc = lo, ul, last + subs x10, x17, x15 + cinv x7, x7, cc // cc = lo, ul, last + cneg x10, x10, cc // cc = lo, ul, last + subs x14, x13, x14 + sbcs x15, x23, x15 + eor x13, x21, x8 + mul x23, x24, x10 + sbcs x17, x6, x17 + eor x6, x3, x8 + ngc x21, xzr + umulh x9, x16, x9 + cmn x8, #0x1 + eor x3, x23, x7 + adcs x23, x6, xzr + adcs x13, x13, xzr + eor x16, x4, x8 + adc x16, x16, xzr + eor x4, x17, x21 + umulh x17, x24, x10 + cmn x21, #0x1 + eor x24, x14, x21 + eor x6, x15, x21 + adcs x15, x24, xzr + adcs x14, x6, xzr + adc x6, x4, xzr + cmn x12, #0x1 + eor x4, x9, x12 + adcs x19, x19, x5 + umulh x5, x23, x15 + adcs x1, x1, x4 + adcs x10, x20, x12 + eor x4, x17, x7 + ldp x20, x9, [sp, #96] + adc x2, x2, x12 + cmn x7, #0x1 + adcs x12, x1, x3 + ldp x17, x24, [sp, #112] + mul x1, x16, x6 + adcs x3, x10, x4 + adc x2, x2, x7 + ldp x7, x4, [sp, #128] + adds x20, x22, x20 + mul x10, x13, x14 + adcs x11, x11, x9 + eor x9, x8, x21 + adcs x21, x19, x17 + stp x20, x11, [sp, #96] + adcs x12, x12, x24 + mul x8, x23, x15 + adcs x3, x3, x7 + stp x21, x12, [sp, #112] + adcs x12, x2, x4 + adc x19, xzr, xzr + subs x21, x23, x16 + umulh x2, x16, x6 + stp x3, x12, [sp, #128] + cneg x3, x21, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + umulh x11, x13, x14 + subs x21, x13, x16 + eor x7, x8, x9 + cneg x17, x21, cc // cc = lo, ul, last + csetm x16, cc // cc = lo, ul, last + subs x21, x6, x15 + cneg x22, x21, cc // cc = lo, ul, last + cinv x21, x24, cc // cc = lo, ul, last + subs x20, x23, x13 + umulh x12, x3, x22 + cneg x23, x20, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + subs x20, x14, x15 + cinv x24, x24, cc // cc = lo, ul, last + mul x22, x3, x22 + cneg x3, x20, cc // cc = lo, ul, last + subs x13, x6, x14 + cneg x20, x13, cc // cc = lo, ul, last + cinv x15, x16, cc // cc = lo, ul, last + adds x13, x5, x10 + mul x4, x23, x3 + adcs x11, x11, x1 + adc x14, x2, xzr + adds x5, x13, x8 + adcs x16, x11, x13 + umulh x23, x23, x3 + adcs x3, x14, x11 + adc x1, x14, xzr + adds x10, x16, x8 + adcs x6, x3, x13 + adcs x8, x1, x11 + umulh x13, x17, x20 + eor x1, x4, x24 + adc x4, x14, xzr + cmn x24, #0x1 + adcs x1, x5, x1 + eor x16, x23, x24 + eor x11, x1, x9 + adcs x23, x10, x16 + eor x2, x22, x21 + adcs x3, x6, x24 + mul x14, x17, x20 + eor x17, x13, x15 + adcs x13, x8, x24 + adc x8, x4, x24 + cmn x21, #0x1 + adcs x6, x23, x2 + mov x16, #0xfffffffffffffffe // #-2 + eor x20, x12, x21 + adcs x20, x3, x20 + eor x23, x14, x15 + adcs x2, x13, x21 + adc x8, x8, x21 + cmn x15, #0x1 + ldp x5, x4, [sp, #96] + ldp x21, x12, [sp, #112] + adcs x22, x20, x23 + eor x23, x22, x9 + adcs x17, x2, x17 + adc x22, x8, x15 + cmn x9, #0x1 + adcs x15, x7, x5 + ldp x10, x14, [sp, #128] + eor x1, x6, x9 + lsl x2, x15, #32 + adcs x8, x11, x4 + adcs x13, x1, x21 + eor x1, x22, x9 + adcs x24, x23, x12 + eor x11, x17, x9 + adcs x23, x11, x10 + adcs x7, x1, x14 + adcs x17, x9, x19 + adcs x20, x9, xzr + add x1, x2, x15 + lsr x3, x1, #32 + adcs x11, x9, xzr + adc x9, x9, xzr + subs x3, x3, x1 + sbc x6, x1, xzr + adds x24, x24, x5 + adcs x4, x23, x4 + extr x3, x6, x3, #32 + lsr x6, x6, #32 + adcs x21, x7, x21 + adcs x15, x17, x12 + adcs x7, x20, x10 + adcs x20, x11, x14 + mov x14, #0xffffffff // #4294967295 + adc x22, x9, x19 + adds x12, x6, x1 + adc x10, xzr, xzr + subs x3, x8, x3 + sbcs x12, x13, x12 + lsl x9, x3, #32 + add x3, x9, x3 + sbcs x10, x24, x10 + sbcs x24, x4, xzr + lsr x9, x3, #32 + sbcs x21, x21, xzr + sbc x1, x1, xzr + subs x9, x9, x3 + sbc x13, x3, xzr + extr x9, x13, x9, #32 + lsr x13, x13, #32 + adds x13, x13, x3 + adc x6, xzr, xzr + subs x12, x12, x9 + sbcs x17, x10, x13 + lsl x2, x12, #32 + sbcs x10, x24, x6 + add x9, x2, x12 + sbcs x6, x21, xzr + lsr x5, x9, #32 + sbcs x21, x1, xzr + sbc x13, x3, xzr + subs x8, x5, x9 + sbc x19, x9, xzr + lsr x12, x19, #32 + extr x3, x19, x8, #32 + adds x8, x12, x9 + adc x1, xzr, xzr + subs x2, x17, x3 + sbcs x12, x10, x8 + sbcs x5, x6, x1 + sbcs x3, x21, xzr + sbcs x19, x13, xzr + sbc x24, x9, xzr + adds x23, x15, x3 + adcs x8, x7, x19 + adcs x11, x20, x24 + adc x9, x22, xzr + add x24, x9, #0x1 + lsl x7, x24, #32 + subs x21, x24, x7 + sbc x10, x7, xzr + adds x6, x2, x21 + adcs x7, x12, x10 + adcs x24, x5, x24 + adcs x13, x23, xzr + adcs x8, x8, xzr + adcs x15, x11, xzr + csetm x23, cc // cc = lo, ul, last + and x11, x16, x23 + and x20, x14, x23 + adds x22, x6, x20 + eor x3, x20, x23 + adcs x5, x7, x3 + adcs x14, x24, x11 + stp x22, x5, [sp, #96] + adcs x5, x13, x23 + adcs x21, x8, x23 + stp x14, x5, [sp, #112] + adc x12, x15, x23 + stp x21, x12, [sp, #128] + ldr q3, [sp, #240] + ldr q25, [x25] + ldp x13, x23, [x25] + ldp x3, x21, [sp, #240] + rev64 v23.4s, v25.4s + uzp1 v17.4s, v25.4s, v3.4s + umulh x15, x3, x13 + mul v6.4s, v23.4s, v3.4s + uzp1 v3.4s, v3.4s, v3.4s + ldr q27, [x25, #32] + ldp x8, x24, [sp, #256] + subs x6, x3, x21 + ldr q0, [sp, #272] + movi v23.2d, #0xffffffff + csetm x10, cc // cc = lo, ul, last + umulh x19, x21, x23 + rev64 v4.4s, v27.4s + uzp2 v25.4s, v27.4s, v27.4s + cneg x4, x6, cc // cc = lo, ul, last + subs x7, x23, x13 + xtn v22.2s, v0.2d + xtn v24.2s, v27.2d + cneg x20, x7, cc // cc = lo, ul, last + ldp x6, x14, [x25, #16] + mul v27.4s, v4.4s, v0.4s + uaddlp v20.2d, v6.4s + cinv x5, x10, cc // cc = lo, ul, last + mul x16, x4, x20 + uzp2 v6.4s, v0.4s, v0.4s + umull v21.2d, v22.2s, v25.2s + shl v0.2d, v20.2d, #32 + umlal v0.2d, v3.2s, v17.2s + mul x22, x8, x6 + umull v1.2d, v6.2s, v25.2s + subs x12, x3, x8 + umull v20.2d, v22.2s, v24.2s + cneg x17, x12, cc // cc = lo, ul, last + umulh x9, x8, x6 + mov x12, v0.d[1] + eor x11, x16, x5 + mov x7, v0.d[0] + csetm x10, cc // cc = lo, ul, last + usra v21.2d, v20.2d, #32 + adds x15, x15, x12 + adcs x12, x19, x22 + umulh x20, x4, x20 + adc x19, x9, xzr + usra v1.2d, v21.2d, #32 + adds x22, x15, x7 + and v26.16b, v21.16b, v23.16b + adcs x16, x12, x15 + uaddlp v25.2d, v27.4s + adcs x9, x19, x12 + umlal v26.2d, v6.2s, v24.2s + adc x4, x19, xzr + adds x16, x16, x7 + shl v27.2d, v25.2d, #32 + adcs x9, x9, x15 + adcs x4, x4, x12 + eor x12, x20, x5 + adc x15, x19, xzr + subs x20, x6, x13 + cneg x20, x20, cc // cc = lo, ul, last + cinv x10, x10, cc // cc = lo, ul, last + cmn x5, #0x1 + mul x19, x17, x20 + adcs x11, x22, x11 + adcs x12, x16, x12 + adcs x9, x9, x5 + umulh x17, x17, x20 + adcs x22, x4, x5 + adc x5, x15, x5 + subs x16, x21, x8 + cneg x20, x16, cc // cc = lo, ul, last + eor x19, x19, x10 + csetm x4, cc // cc = lo, ul, last + subs x16, x6, x23 + cneg x16, x16, cc // cc = lo, ul, last + umlal v27.2d, v22.2s, v24.2s + mul x15, x20, x16 + cinv x4, x4, cc // cc = lo, ul, last + cmn x10, #0x1 + usra v1.2d, v26.2d, #32 + adcs x19, x12, x19 + eor x17, x17, x10 + adcs x9, x9, x17 + adcs x22, x22, x10 + lsl x12, x7, #32 + umulh x20, x20, x16 + eor x16, x15, x4 + ldp x15, x17, [x25, #32] + add x2, x12, x7 + adc x7, x5, x10 + ldp x5, x10, [sp, #272] + lsr x1, x2, #32 + eor x12, x20, x4 + subs x1, x1, x2 + sbc x20, x2, xzr + cmn x4, #0x1 + adcs x9, x9, x16 + extr x1, x20, x1, #32 + lsr x20, x20, #32 + adcs x22, x22, x12 + adc x16, x7, x4 + adds x12, x20, x2 + umulh x7, x24, x14 + adc x4, xzr, xzr + subs x1, x11, x1 + sbcs x20, x19, x12 + sbcs x12, x9, x4 + lsl x9, x1, #32 + add x1, x9, x1 + sbcs x9, x22, xzr + mul x22, x24, x14 + sbcs x16, x16, xzr + lsr x4, x1, #32 + sbc x19, x2, xzr + subs x4, x4, x1 + sbc x11, x1, xzr + extr x2, x11, x4, #32 + lsr x4, x11, #32 + adds x4, x4, x1 + adc x11, xzr, xzr + subs x2, x20, x2 + sbcs x4, x12, x4 + sbcs x20, x9, x11 + lsl x12, x2, #32 + add x2, x12, x2 + sbcs x9, x16, xzr + lsr x11, x2, #32 + sbcs x19, x19, xzr + sbc x1, x1, xzr + subs x16, x11, x2 + sbc x12, x2, xzr + extr x16, x12, x16, #32 + lsr x12, x12, #32 + adds x11, x12, x2 + adc x12, xzr, xzr + subs x16, x4, x16 + mov x4, v27.d[0] + sbcs x11, x20, x11 + sbcs x20, x9, x12 + stp x16, x11, [sp, #192] + sbcs x11, x19, xzr + sbcs x9, x1, xzr + stp x20, x11, [sp, #208] + mov x1, v1.d[0] + sbc x20, x2, xzr + subs x12, x24, x5 + mov x11, v27.d[1] + cneg x16, x12, cc // cc = lo, ul, last + csetm x2, cc // cc = lo, ul, last + subs x19, x15, x14 + mov x12, v1.d[1] + cinv x2, x2, cc // cc = lo, ul, last + cneg x19, x19, cc // cc = lo, ul, last + stp x9, x20, [sp, #224] + mul x9, x16, x19 + adds x4, x7, x4 + adcs x11, x1, x11 + adc x1, x12, xzr + adds x20, x4, x22 + umulh x19, x16, x19 + adcs x7, x11, x4 + eor x16, x9, x2 + adcs x9, x1, x11 + adc x12, x1, xzr + adds x7, x7, x22 + adcs x4, x9, x4 + adcs x9, x12, x11 + adc x12, x1, xzr + cmn x2, #0x1 + eor x1, x19, x2 + adcs x11, x20, x16 + adcs x19, x7, x1 + adcs x1, x4, x2 + adcs x20, x9, x2 + adc x2, x12, x2 + subs x12, x24, x10 + cneg x16, x12, cc // cc = lo, ul, last + csetm x12, cc // cc = lo, ul, last + subs x9, x17, x14 + cinv x12, x12, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x3, x24, x3 + sbcs x21, x5, x21 + mul x24, x16, x9 + sbcs x4, x10, x8 + ngc x8, xzr + subs x10, x5, x10 + eor x5, x24, x12 + csetm x7, cc // cc = lo, ul, last + cneg x24, x10, cc // cc = lo, ul, last + subs x10, x17, x15 + cinv x7, x7, cc // cc = lo, ul, last + cneg x10, x10, cc // cc = lo, ul, last + subs x14, x13, x14 + sbcs x15, x23, x15 + eor x13, x21, x8 + mul x23, x24, x10 + sbcs x17, x6, x17 + eor x6, x3, x8 + ngc x21, xzr + umulh x9, x16, x9 + cmn x8, #0x1 + eor x3, x23, x7 + adcs x23, x6, xzr + adcs x13, x13, xzr + eor x16, x4, x8 + adc x16, x16, xzr + eor x4, x17, x21 + umulh x17, x24, x10 + cmn x21, #0x1 + eor x24, x14, x21 + eor x6, x15, x21 + adcs x15, x24, xzr + adcs x14, x6, xzr + adc x6, x4, xzr + cmn x12, #0x1 + eor x4, x9, x12 + adcs x19, x19, x5 + umulh x5, x23, x15 + adcs x1, x1, x4 + adcs x10, x20, x12 + eor x4, x17, x7 + ldp x20, x9, [sp, #192] + adc x2, x2, x12 + cmn x7, #0x1 + adcs x12, x1, x3 + ldp x17, x24, [sp, #208] + mul x1, x16, x6 + adcs x3, x10, x4 + adc x2, x2, x7 + ldp x7, x4, [sp, #224] + adds x20, x22, x20 + mul x10, x13, x14 + adcs x11, x11, x9 + eor x9, x8, x21 + adcs x21, x19, x17 + stp x20, x11, [sp, #192] + adcs x12, x12, x24 + mul x8, x23, x15 + adcs x3, x3, x7 + stp x21, x12, [sp, #208] + adcs x12, x2, x4 + adc x19, xzr, xzr + subs x21, x23, x16 + umulh x2, x16, x6 + stp x3, x12, [sp, #224] + cneg x3, x21, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + umulh x11, x13, x14 + subs x21, x13, x16 + eor x7, x8, x9 + cneg x17, x21, cc // cc = lo, ul, last + csetm x16, cc // cc = lo, ul, last + subs x21, x6, x15 + cneg x22, x21, cc // cc = lo, ul, last + cinv x21, x24, cc // cc = lo, ul, last + subs x20, x23, x13 + umulh x12, x3, x22 + cneg x23, x20, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + subs x20, x14, x15 + cinv x24, x24, cc // cc = lo, ul, last + mul x22, x3, x22 + cneg x3, x20, cc // cc = lo, ul, last + subs x13, x6, x14 + cneg x20, x13, cc // cc = lo, ul, last + cinv x15, x16, cc // cc = lo, ul, last + adds x13, x5, x10 + mul x4, x23, x3 + adcs x11, x11, x1 + adc x14, x2, xzr + adds x5, x13, x8 + adcs x16, x11, x13 + umulh x23, x23, x3 + adcs x3, x14, x11 + adc x1, x14, xzr + adds x10, x16, x8 + adcs x6, x3, x13 + adcs x8, x1, x11 + umulh x13, x17, x20 + eor x1, x4, x24 + adc x4, x14, xzr + cmn x24, #0x1 + adcs x1, x5, x1 + eor x16, x23, x24 + eor x11, x1, x9 + adcs x23, x10, x16 + eor x2, x22, x21 + adcs x3, x6, x24 + mul x14, x17, x20 + eor x17, x13, x15 + adcs x13, x8, x24 + adc x8, x4, x24 + cmn x21, #0x1 + adcs x6, x23, x2 + mov x16, #0xfffffffffffffffe // #-2 + eor x20, x12, x21 + adcs x20, x3, x20 + eor x23, x14, x15 + adcs x2, x13, x21 + adc x8, x8, x21 + cmn x15, #0x1 + ldp x5, x4, [sp, #192] + ldp x21, x12, [sp, #208] + adcs x22, x20, x23 + eor x23, x22, x9 + adcs x17, x2, x17 + adc x22, x8, x15 + cmn x9, #0x1 + adcs x15, x7, x5 + ldp x10, x14, [sp, #224] + eor x1, x6, x9 + lsl x2, x15, #32 + adcs x8, x11, x4 + adcs x13, x1, x21 + eor x1, x22, x9 + adcs x24, x23, x12 + eor x11, x17, x9 + adcs x23, x11, x10 + adcs x7, x1, x14 + adcs x17, x9, x19 + adcs x20, x9, xzr + add x1, x2, x15 + lsr x3, x1, #32 + adcs x11, x9, xzr + adc x9, x9, xzr + subs x3, x3, x1 + sbc x6, x1, xzr + adds x24, x24, x5 + adcs x4, x23, x4 + extr x3, x6, x3, #32 + lsr x6, x6, #32 + adcs x21, x7, x21 + adcs x15, x17, x12 + adcs x7, x20, x10 + adcs x20, x11, x14 + mov x14, #0xffffffff // #4294967295 + adc x22, x9, x19 + adds x12, x6, x1 + adc x10, xzr, xzr + subs x3, x8, x3 + sbcs x12, x13, x12 + lsl x9, x3, #32 + add x3, x9, x3 + sbcs x10, x24, x10 + sbcs x24, x4, xzr + lsr x9, x3, #32 + sbcs x21, x21, xzr + sbc x1, x1, xzr + subs x9, x9, x3 + sbc x13, x3, xzr + extr x9, x13, x9, #32 + lsr x13, x13, #32 + adds x13, x13, x3 + adc x6, xzr, xzr + subs x12, x12, x9 + sbcs x17, x10, x13 + lsl x2, x12, #32 + sbcs x10, x24, x6 + add x9, x2, x12 + sbcs x6, x21, xzr + lsr x5, x9, #32 + sbcs x21, x1, xzr + sbc x13, x3, xzr + subs x8, x5, x9 + sbc x19, x9, xzr + lsr x12, x19, #32 + extr x3, x19, x8, #32 + adds x8, x12, x9 + adc x1, xzr, xzr + subs x2, x17, x3 + sbcs x12, x10, x8 + sbcs x5, x6, x1 + sbcs x3, x21, xzr + sbcs x19, x13, xzr + sbc x24, x9, xzr + adds x23, x15, x3 + adcs x8, x7, x19 + adcs x11, x20, x24 + adc x9, x22, xzr + add x24, x9, #0x1 + lsl x7, x24, #32 + subs x21, x24, x7 + sbc x10, x7, xzr + adds x6, x2, x21 + adcs x7, x12, x10 + adcs x24, x5, x24 + adcs x13, x23, xzr + adcs x8, x8, xzr + adcs x15, x11, xzr + csetm x23, cc // cc = lo, ul, last + and x11, x16, x23 + and x20, x14, x23 + adds x22, x6, x20 + eor x3, x20, x23 + adcs x5, x7, x3 + adcs x14, x24, x11 + stp x22, x5, [sp, #192] + adcs x5, x13, x23 + adcs x21, x8, x23 + stp x14, x5, [sp, #208] + adc x12, x15, x23 + stp x21, x12, [sp, #224] + mov x1, sp + ldr q3, [x1] + ldr q25, [sp, #48] + ldp x13, x23, [sp, #48] + ldp x3, x21, [x1] + rev64 v23.4s, v25.4s + uzp1 v17.4s, v25.4s, v3.4s + umulh x15, x3, x13 + mul v6.4s, v23.4s, v3.4s + uzp1 v3.4s, v3.4s, v3.4s + ldr q27, [sp, #80] + ldp x8, x24, [x1, #16] + subs x6, x3, x21 + ldr q0, [x1, #32] + movi v23.2d, #0xffffffff + csetm x10, cc // cc = lo, ul, last + umulh x19, x21, x23 + rev64 v4.4s, v27.4s + uzp2 v25.4s, v27.4s, v27.4s + cneg x4, x6, cc // cc = lo, ul, last + subs x7, x23, x13 + xtn v22.2s, v0.2d + xtn v24.2s, v27.2d + cneg x20, x7, cc // cc = lo, ul, last + ldp x6, x14, [sp, #64] + mul v27.4s, v4.4s, v0.4s + uaddlp v20.2d, v6.4s + cinv x5, x10, cc // cc = lo, ul, last + mul x16, x4, x20 + uzp2 v6.4s, v0.4s, v0.4s + umull v21.2d, v22.2s, v25.2s + shl v0.2d, v20.2d, #32 + umlal v0.2d, v3.2s, v17.2s + mul x22, x8, x6 + umull v1.2d, v6.2s, v25.2s + subs x12, x3, x8 + umull v20.2d, v22.2s, v24.2s + cneg x17, x12, cc // cc = lo, ul, last + umulh x9, x8, x6 + mov x12, v0.d[1] + eor x11, x16, x5 + mov x7, v0.d[0] + csetm x10, cc // cc = lo, ul, last + usra v21.2d, v20.2d, #32 + adds x15, x15, x12 + adcs x12, x19, x22 + umulh x20, x4, x20 + adc x19, x9, xzr + usra v1.2d, v21.2d, #32 + adds x22, x15, x7 + and v26.16b, v21.16b, v23.16b + adcs x16, x12, x15 + uaddlp v25.2d, v27.4s + adcs x9, x19, x12 + umlal v26.2d, v6.2s, v24.2s + adc x4, x19, xzr + adds x16, x16, x7 + shl v27.2d, v25.2d, #32 + adcs x9, x9, x15 + adcs x4, x4, x12 + eor x12, x20, x5 + adc x15, x19, xzr + subs x20, x6, x13 + cneg x20, x20, cc // cc = lo, ul, last + cinv x10, x10, cc // cc = lo, ul, last + cmn x5, #0x1 + mul x19, x17, x20 + adcs x11, x22, x11 + adcs x12, x16, x12 + adcs x9, x9, x5 + umulh x17, x17, x20 + adcs x22, x4, x5 + adc x5, x15, x5 + subs x16, x21, x8 + cneg x20, x16, cc // cc = lo, ul, last + eor x19, x19, x10 + csetm x4, cc // cc = lo, ul, last + subs x16, x6, x23 + cneg x16, x16, cc // cc = lo, ul, last + umlal v27.2d, v22.2s, v24.2s + mul x15, x20, x16 + cinv x4, x4, cc // cc = lo, ul, last + cmn x10, #0x1 + usra v1.2d, v26.2d, #32 + adcs x19, x12, x19 + eor x17, x17, x10 + adcs x9, x9, x17 + adcs x22, x22, x10 + lsl x12, x7, #32 + umulh x20, x20, x16 + eor x16, x15, x4 + ldp x15, x17, [sp, #80] + add x2, x12, x7 + adc x7, x5, x10 + ldp x5, x10, [x1, #32] + lsr x1, x2, #32 + eor x12, x20, x4 + subs x1, x1, x2 + sbc x20, x2, xzr + cmn x4, #0x1 + adcs x9, x9, x16 + extr x1, x20, x1, #32 + lsr x20, x20, #32 + adcs x22, x22, x12 + adc x16, x7, x4 + adds x12, x20, x2 + umulh x7, x24, x14 + adc x4, xzr, xzr + subs x1, x11, x1 + sbcs x20, x19, x12 + sbcs x12, x9, x4 + lsl x9, x1, #32 + add x1, x9, x1 + sbcs x9, x22, xzr + mul x22, x24, x14 + sbcs x16, x16, xzr + lsr x4, x1, #32 + sbc x19, x2, xzr + subs x4, x4, x1 + sbc x11, x1, xzr + extr x2, x11, x4, #32 + lsr x4, x11, #32 + adds x4, x4, x1 + adc x11, xzr, xzr + subs x2, x20, x2 + sbcs x4, x12, x4 + sbcs x20, x9, x11 + lsl x12, x2, #32 + add x2, x12, x2 + sbcs x9, x16, xzr + lsr x11, x2, #32 + sbcs x19, x19, xzr + sbc x1, x1, xzr + subs x16, x11, x2 + sbc x12, x2, xzr + extr x16, x12, x16, #32 + lsr x12, x12, #32 + adds x11, x12, x2 + adc x12, xzr, xzr + subs x16, x4, x16 + mov x4, v27.d[0] + sbcs x11, x20, x11 + sbcs x20, x9, x12 + stp x16, x11, [sp, #48] + sbcs x11, x19, xzr + sbcs x9, x1, xzr + stp x20, x11, [sp, #64] + mov x1, v1.d[0] + sbc x20, x2, xzr + subs x12, x24, x5 + mov x11, v27.d[1] + cneg x16, x12, cc // cc = lo, ul, last + csetm x2, cc // cc = lo, ul, last + subs x19, x15, x14 + mov x12, v1.d[1] + cinv x2, x2, cc // cc = lo, ul, last + cneg x19, x19, cc // cc = lo, ul, last + stp x9, x20, [sp, #80] + mul x9, x16, x19 + adds x4, x7, x4 + adcs x11, x1, x11 + adc x1, x12, xzr + adds x20, x4, x22 + umulh x19, x16, x19 + adcs x7, x11, x4 + eor x16, x9, x2 + adcs x9, x1, x11 + adc x12, x1, xzr + adds x7, x7, x22 + adcs x4, x9, x4 + adcs x9, x12, x11 + adc x12, x1, xzr + cmn x2, #0x1 + eor x1, x19, x2 + adcs x11, x20, x16 + adcs x19, x7, x1 + adcs x1, x4, x2 + adcs x20, x9, x2 + adc x2, x12, x2 + subs x12, x24, x10 + cneg x16, x12, cc // cc = lo, ul, last + csetm x12, cc // cc = lo, ul, last + subs x9, x17, x14 + cinv x12, x12, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x3, x24, x3 + sbcs x21, x5, x21 + mul x24, x16, x9 + sbcs x4, x10, x8 + ngc x8, xzr + subs x10, x5, x10 + eor x5, x24, x12 + csetm x7, cc // cc = lo, ul, last + cneg x24, x10, cc // cc = lo, ul, last + subs x10, x17, x15 + cinv x7, x7, cc // cc = lo, ul, last + cneg x10, x10, cc // cc = lo, ul, last + subs x14, x13, x14 + sbcs x15, x23, x15 + eor x13, x21, x8 + mul x23, x24, x10 + sbcs x17, x6, x17 + eor x6, x3, x8 + ngc x21, xzr + umulh x9, x16, x9 + cmn x8, #0x1 + eor x3, x23, x7 + adcs x23, x6, xzr + adcs x13, x13, xzr + eor x16, x4, x8 + adc x16, x16, xzr + eor x4, x17, x21 + umulh x17, x24, x10 + cmn x21, #0x1 + eor x24, x14, x21 + eor x6, x15, x21 + adcs x15, x24, xzr + adcs x14, x6, xzr + adc x6, x4, xzr + cmn x12, #0x1 + eor x4, x9, x12 + adcs x19, x19, x5 + umulh x5, x23, x15 + adcs x1, x1, x4 + adcs x10, x20, x12 + eor x4, x17, x7 + ldp x20, x9, [sp, #48] + adc x2, x2, x12 + cmn x7, #0x1 + adcs x12, x1, x3 + ldp x17, x24, [sp, #64] + mul x1, x16, x6 + adcs x3, x10, x4 + adc x2, x2, x7 + ldp x7, x4, [sp, #80] + adds x20, x22, x20 + mul x10, x13, x14 + adcs x11, x11, x9 + eor x9, x8, x21 + adcs x21, x19, x17 + stp x20, x11, [sp, #48] + adcs x12, x12, x24 + mul x8, x23, x15 + adcs x3, x3, x7 + stp x21, x12, [sp, #64] + adcs x12, x2, x4 + adc x19, xzr, xzr + subs x21, x23, x16 + umulh x2, x16, x6 + stp x3, x12, [sp, #80] + cneg x3, x21, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + umulh x11, x13, x14 + subs x21, x13, x16 + eor x7, x8, x9 + cneg x17, x21, cc // cc = lo, ul, last + csetm x16, cc // cc = lo, ul, last + subs x21, x6, x15 + cneg x22, x21, cc // cc = lo, ul, last + cinv x21, x24, cc // cc = lo, ul, last + subs x20, x23, x13 + umulh x12, x3, x22 + cneg x23, x20, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + subs x20, x14, x15 + cinv x24, x24, cc // cc = lo, ul, last + mul x22, x3, x22 + cneg x3, x20, cc // cc = lo, ul, last + subs x13, x6, x14 + cneg x20, x13, cc // cc = lo, ul, last + cinv x15, x16, cc // cc = lo, ul, last + adds x13, x5, x10 + mul x4, x23, x3 + adcs x11, x11, x1 + adc x14, x2, xzr + adds x5, x13, x8 + adcs x16, x11, x13 + umulh x23, x23, x3 + adcs x3, x14, x11 + adc x1, x14, xzr + adds x10, x16, x8 + adcs x6, x3, x13 + adcs x8, x1, x11 + umulh x13, x17, x20 + eor x1, x4, x24 + adc x4, x14, xzr + cmn x24, #0x1 + adcs x1, x5, x1 + eor x16, x23, x24 + eor x11, x1, x9 + adcs x23, x10, x16 + eor x2, x22, x21 + adcs x3, x6, x24 + mul x14, x17, x20 + eor x17, x13, x15 + adcs x13, x8, x24 + adc x8, x4, x24 + cmn x21, #0x1 + adcs x6, x23, x2 + mov x16, #0xfffffffffffffffe // #-2 + eor x20, x12, x21 + adcs x20, x3, x20 + eor x23, x14, x15 + adcs x2, x13, x21 + adc x8, x8, x21 + cmn x15, #0x1 + ldp x5, x4, [sp, #48] + ldp x21, x12, [sp, #64] + adcs x22, x20, x23 + eor x23, x22, x9 + adcs x17, x2, x17 + adc x22, x8, x15 + cmn x9, #0x1 + adcs x15, x7, x5 + ldp x10, x14, [sp, #80] + eor x1, x6, x9 + lsl x2, x15, #32 + adcs x8, x11, x4 + adcs x13, x1, x21 + eor x1, x22, x9 + adcs x24, x23, x12 + eor x11, x17, x9 + adcs x23, x11, x10 + adcs x7, x1, x14 + adcs x17, x9, x19 + adcs x20, x9, xzr + add x1, x2, x15 + lsr x3, x1, #32 + adcs x11, x9, xzr + adc x9, x9, xzr + subs x3, x3, x1 + sbc x6, x1, xzr + adds x24, x24, x5 + adcs x4, x23, x4 + extr x3, x6, x3, #32 + lsr x6, x6, #32 + adcs x21, x7, x21 + adcs x15, x17, x12 + adcs x7, x20, x10 + adcs x20, x11, x14 + mov x14, #0xffffffff // #4294967295 + adc x22, x9, x19 + adds x12, x6, x1 + adc x10, xzr, xzr + subs x3, x8, x3 + sbcs x12, x13, x12 + lsl x9, x3, #32 + add x3, x9, x3 + sbcs x10, x24, x10 + sbcs x24, x4, xzr + lsr x9, x3, #32 + sbcs x21, x21, xzr + sbc x1, x1, xzr + subs x9, x9, x3 + sbc x13, x3, xzr + extr x9, x13, x9, #32 + lsr x13, x13, #32 + adds x13, x13, x3 + adc x6, xzr, xzr + subs x12, x12, x9 + sbcs x17, x10, x13 + lsl x2, x12, #32 + sbcs x10, x24, x6 + add x9, x2, x12 + sbcs x6, x21, xzr + lsr x5, x9, #32 + sbcs x21, x1, xzr + sbc x13, x3, xzr + subs x8, x5, x9 + sbc x19, x9, xzr + lsr x12, x19, #32 + extr x3, x19, x8, #32 + adds x8, x12, x9 + adc x1, xzr, xzr + subs x2, x17, x3 + sbcs x12, x10, x8 + sbcs x5, x6, x1 + sbcs x3, x21, xzr + sbcs x19, x13, xzr + sbc x24, x9, xzr + adds x23, x15, x3 + adcs x8, x7, x19 + adcs x11, x20, x24 + adc x9, x22, xzr + add x24, x9, #0x1 + lsl x7, x24, #32 + subs x21, x24, x7 + sbc x10, x7, xzr + adds x6, x2, x21 + adcs x7, x12, x10 + adcs x24, x5, x24 + adcs x13, x23, xzr + adcs x8, x8, xzr + adcs x15, x11, xzr + csetm x23, cc // cc = lo, ul, last + and x11, x16, x23 + and x20, x14, x23 + adds x22, x6, x20 + eor x3, x20, x23 + adcs x5, x7, x3 + adcs x14, x24, x11 + stp x22, x5, [sp, #48] + adcs x5, x13, x23 + adcs x21, x8, x23 + stp x14, x5, [sp, #64] + adc x12, x15, x23 + stp x21, x12, [sp, #80] + ldr q3, [sp, #240] + ldr q25, [sp, #288] + ldp x13, x23, [sp, #288] + ldp x3, x21, [sp, #240] + rev64 v23.4s, v25.4s + uzp1 v17.4s, v25.4s, v3.4s + umulh x15, x3, x13 + mul v6.4s, v23.4s, v3.4s + uzp1 v3.4s, v3.4s, v3.4s + ldr q27, [sp, #320] + ldp x8, x24, [sp, #256] + subs x6, x3, x21 + ldr q0, [sp, #272] + movi v23.2d, #0xffffffff + csetm x10, cc // cc = lo, ul, last + umulh x19, x21, x23 + rev64 v4.4s, v27.4s + uzp2 v25.4s, v27.4s, v27.4s + cneg x4, x6, cc // cc = lo, ul, last + subs x7, x23, x13 + xtn v22.2s, v0.2d + xtn v24.2s, v27.2d + cneg x20, x7, cc // cc = lo, ul, last + ldp x6, x14, [sp, #304] + mul v27.4s, v4.4s, v0.4s + uaddlp v20.2d, v6.4s + cinv x5, x10, cc // cc = lo, ul, last + mul x16, x4, x20 + uzp2 v6.4s, v0.4s, v0.4s + umull v21.2d, v22.2s, v25.2s + shl v0.2d, v20.2d, #32 + umlal v0.2d, v3.2s, v17.2s + mul x22, x8, x6 + umull v1.2d, v6.2s, v25.2s + subs x12, x3, x8 + umull v20.2d, v22.2s, v24.2s + cneg x17, x12, cc // cc = lo, ul, last + umulh x9, x8, x6 + mov x12, v0.d[1] + eor x11, x16, x5 + mov x7, v0.d[0] + csetm x10, cc // cc = lo, ul, last + usra v21.2d, v20.2d, #32 + adds x15, x15, x12 + adcs x12, x19, x22 + umulh x20, x4, x20 + adc x19, x9, xzr + usra v1.2d, v21.2d, #32 + adds x22, x15, x7 + and v26.16b, v21.16b, v23.16b + adcs x16, x12, x15 + uaddlp v25.2d, v27.4s + adcs x9, x19, x12 + umlal v26.2d, v6.2s, v24.2s + adc x4, x19, xzr + adds x16, x16, x7 + shl v27.2d, v25.2d, #32 + adcs x9, x9, x15 + adcs x4, x4, x12 + eor x12, x20, x5 + adc x15, x19, xzr + subs x20, x6, x13 + cneg x20, x20, cc // cc = lo, ul, last + cinv x10, x10, cc // cc = lo, ul, last + cmn x5, #0x1 + mul x19, x17, x20 + adcs x11, x22, x11 + adcs x12, x16, x12 + adcs x9, x9, x5 + umulh x17, x17, x20 + adcs x22, x4, x5 + adc x5, x15, x5 + subs x16, x21, x8 + cneg x20, x16, cc // cc = lo, ul, last + eor x19, x19, x10 + csetm x4, cc // cc = lo, ul, last + subs x16, x6, x23 + cneg x16, x16, cc // cc = lo, ul, last + umlal v27.2d, v22.2s, v24.2s + mul x15, x20, x16 + cinv x4, x4, cc // cc = lo, ul, last + cmn x10, #0x1 + usra v1.2d, v26.2d, #32 + adcs x19, x12, x19 + eor x17, x17, x10 + adcs x9, x9, x17 + adcs x22, x22, x10 + lsl x12, x7, #32 + umulh x20, x20, x16 + eor x16, x15, x4 + ldp x15, x17, [sp, #320] + add x2, x12, x7 + adc x7, x5, x10 + ldp x5, x10, [sp, #272] + lsr x1, x2, #32 + eor x12, x20, x4 + subs x1, x1, x2 + sbc x20, x2, xzr + cmn x4, #0x1 + adcs x9, x9, x16 + extr x1, x20, x1, #32 + lsr x20, x20, #32 + adcs x22, x22, x12 + adc x16, x7, x4 + adds x12, x20, x2 + umulh x7, x24, x14 + adc x4, xzr, xzr + subs x1, x11, x1 + sbcs x20, x19, x12 + sbcs x12, x9, x4 + lsl x9, x1, #32 + add x1, x9, x1 + sbcs x9, x22, xzr + mul x22, x24, x14 + sbcs x16, x16, xzr + lsr x4, x1, #32 + sbc x19, x2, xzr + subs x4, x4, x1 + sbc x11, x1, xzr + extr x2, x11, x4, #32 + lsr x4, x11, #32 + adds x4, x4, x1 + adc x11, xzr, xzr + subs x2, x20, x2 + sbcs x4, x12, x4 + sbcs x20, x9, x11 + lsl x12, x2, #32 + add x2, x12, x2 + sbcs x9, x16, xzr + lsr x11, x2, #32 + sbcs x19, x19, xzr + sbc x1, x1, xzr + subs x16, x11, x2 + sbc x12, x2, xzr + extr x16, x12, x16, #32 + lsr x12, x12, #32 + adds x11, x12, x2 + adc x12, xzr, xzr + subs x16, x4, x16 + mov x4, v27.d[0] + sbcs x11, x20, x11 + sbcs x20, x9, x12 + stp x16, x11, [sp, #288] + sbcs x11, x19, xzr + sbcs x9, x1, xzr + stp x20, x11, [sp, #304] + mov x1, v1.d[0] + sbc x20, x2, xzr + subs x12, x24, x5 + mov x11, v27.d[1] + cneg x16, x12, cc // cc = lo, ul, last + csetm x2, cc // cc = lo, ul, last + subs x19, x15, x14 + mov x12, v1.d[1] + cinv x2, x2, cc // cc = lo, ul, last + cneg x19, x19, cc // cc = lo, ul, last + stp x9, x20, [sp, #320] + mul x9, x16, x19 + adds x4, x7, x4 + adcs x11, x1, x11 + adc x1, x12, xzr + adds x20, x4, x22 + umulh x19, x16, x19 + adcs x7, x11, x4 + eor x16, x9, x2 + adcs x9, x1, x11 + adc x12, x1, xzr + adds x7, x7, x22 + adcs x4, x9, x4 + adcs x9, x12, x11 + adc x12, x1, xzr + cmn x2, #0x1 + eor x1, x19, x2 + adcs x11, x20, x16 + adcs x19, x7, x1 + adcs x1, x4, x2 + adcs x20, x9, x2 + adc x2, x12, x2 + subs x12, x24, x10 + cneg x16, x12, cc // cc = lo, ul, last + csetm x12, cc // cc = lo, ul, last + subs x9, x17, x14 + cinv x12, x12, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x3, x24, x3 + sbcs x21, x5, x21 + mul x24, x16, x9 + sbcs x4, x10, x8 + ngc x8, xzr + subs x10, x5, x10 + eor x5, x24, x12 + csetm x7, cc // cc = lo, ul, last + cneg x24, x10, cc // cc = lo, ul, last + subs x10, x17, x15 + cinv x7, x7, cc // cc = lo, ul, last + cneg x10, x10, cc // cc = lo, ul, last + subs x14, x13, x14 + sbcs x15, x23, x15 + eor x13, x21, x8 + mul x23, x24, x10 + sbcs x17, x6, x17 + eor x6, x3, x8 + ngc x21, xzr + umulh x9, x16, x9 + cmn x8, #0x1 + eor x3, x23, x7 + adcs x23, x6, xzr + adcs x13, x13, xzr + eor x16, x4, x8 + adc x16, x16, xzr + eor x4, x17, x21 + umulh x17, x24, x10 + cmn x21, #0x1 + eor x24, x14, x21 + eor x6, x15, x21 + adcs x15, x24, xzr + adcs x14, x6, xzr + adc x6, x4, xzr + cmn x12, #0x1 + eor x4, x9, x12 + adcs x19, x19, x5 + umulh x5, x23, x15 + adcs x1, x1, x4 + adcs x10, x20, x12 + eor x4, x17, x7 + ldp x20, x9, [sp, #288] + adc x2, x2, x12 + cmn x7, #0x1 + adcs x12, x1, x3 + ldp x17, x24, [sp, #304] + mul x1, x16, x6 + adcs x3, x10, x4 + adc x2, x2, x7 + ldp x7, x4, [sp, #320] + adds x20, x22, x20 + mul x10, x13, x14 + adcs x11, x11, x9 + eor x9, x8, x21 + adcs x21, x19, x17 + stp x20, x11, [sp, #288] + adcs x12, x12, x24 + mul x8, x23, x15 + adcs x3, x3, x7 + stp x21, x12, [sp, #304] + adcs x12, x2, x4 + adc x19, xzr, xzr + subs x21, x23, x16 + umulh x2, x16, x6 + stp x3, x12, [sp, #320] + cneg x3, x21, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + umulh x11, x13, x14 + subs x21, x13, x16 + eor x7, x8, x9 + cneg x17, x21, cc // cc = lo, ul, last + csetm x16, cc // cc = lo, ul, last + subs x21, x6, x15 + cneg x22, x21, cc // cc = lo, ul, last + cinv x21, x24, cc // cc = lo, ul, last + subs x20, x23, x13 + umulh x12, x3, x22 + cneg x23, x20, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + subs x20, x14, x15 + cinv x24, x24, cc // cc = lo, ul, last + mul x22, x3, x22 + cneg x3, x20, cc // cc = lo, ul, last + subs x13, x6, x14 + cneg x20, x13, cc // cc = lo, ul, last + cinv x15, x16, cc // cc = lo, ul, last + adds x13, x5, x10 + mul x4, x23, x3 + adcs x11, x11, x1 + adc x14, x2, xzr + adds x5, x13, x8 + adcs x16, x11, x13 + umulh x23, x23, x3 + adcs x3, x14, x11 + adc x1, x14, xzr + adds x10, x16, x8 + adcs x6, x3, x13 + adcs x8, x1, x11 + umulh x13, x17, x20 + eor x1, x4, x24 + adc x4, x14, xzr + cmn x24, #0x1 + adcs x1, x5, x1 + eor x16, x23, x24 + eor x11, x1, x9 + adcs x23, x10, x16 + eor x2, x22, x21 + adcs x3, x6, x24 + mul x14, x17, x20 + eor x17, x13, x15 + adcs x13, x8, x24 + adc x8, x4, x24 + cmn x21, #0x1 + adcs x6, x23, x2 + mov x16, #0xfffffffffffffffe // #-2 + eor x20, x12, x21 + adcs x20, x3, x20 + eor x23, x14, x15 + adcs x2, x13, x21 + adc x8, x8, x21 + cmn x15, #0x1 + ldp x5, x4, [sp, #288] + ldp x21, x12, [sp, #304] + adcs x22, x20, x23 + eor x23, x22, x9 + adcs x17, x2, x17 + adc x22, x8, x15 + cmn x9, #0x1 + adcs x15, x7, x5 + ldp x10, x14, [sp, #320] + eor x1, x6, x9 + lsl x2, x15, #32 + adcs x8, x11, x4 + adcs x13, x1, x21 + eor x1, x22, x9 + adcs x24, x23, x12 + eor x11, x17, x9 + adcs x23, x11, x10 + adcs x7, x1, x14 + adcs x17, x9, x19 + adcs x20, x9, xzr + add x1, x2, x15 + lsr x3, x1, #32 + adcs x11, x9, xzr + adc x9, x9, xzr + subs x3, x3, x1 + sbc x6, x1, xzr + adds x24, x24, x5 + adcs x4, x23, x4 + extr x3, x6, x3, #32 + lsr x6, x6, #32 + adcs x21, x7, x21 + adcs x15, x17, x12 + adcs x7, x20, x10 + adcs x20, x11, x14 + mov x14, #0xffffffff // #4294967295 + adc x22, x9, x19 + adds x12, x6, x1 + adc x10, xzr, xzr + subs x3, x8, x3 + sbcs x12, x13, x12 + lsl x9, x3, #32 + add x3, x9, x3 + sbcs x10, x24, x10 + sbcs x24, x4, xzr + lsr x9, x3, #32 + sbcs x21, x21, xzr + sbc x1, x1, xzr + subs x9, x9, x3 + sbc x13, x3, xzr + extr x9, x13, x9, #32 + lsr x13, x13, #32 + adds x13, x13, x3 + adc x6, xzr, xzr + subs x12, x12, x9 + sbcs x17, x10, x13 + lsl x2, x12, #32 + sbcs x10, x24, x6 + add x9, x2, x12 + sbcs x6, x21, xzr + lsr x5, x9, #32 + sbcs x21, x1, xzr + sbc x13, x3, xzr + subs x8, x5, x9 + sbc x19, x9, xzr + lsr x12, x19, #32 + extr x3, x19, x8, #32 + adds x8, x12, x9 + adc x1, xzr, xzr + subs x2, x17, x3 + sbcs x12, x10, x8 + sbcs x5, x6, x1 + sbcs x3, x21, xzr + sbcs x19, x13, xzr + sbc x24, x9, xzr + adds x23, x15, x3 + adcs x8, x7, x19 + adcs x11, x20, x24 + adc x9, x22, xzr + add x24, x9, #0x1 + lsl x7, x24, #32 + subs x21, x24, x7 + sbc x10, x7, xzr + adds x6, x2, x21 + adcs x7, x12, x10 + adcs x24, x5, x24 + adcs x13, x23, xzr + adcs x8, x8, xzr + adcs x15, x11, xzr + csetm x23, cc // cc = lo, ul, last + and x11, x16, x23 + and x20, x14, x23 + adds x22, x6, x20 + eor x3, x20, x23 + adcs x5, x7, x3 + adcs x2, x24, x11 + stp x22, x5, [sp, #288] + adcs x11, x13, x23 + adcs x12, x8, x23 + stp x2, x11, [sp, #304] + adc x13, x15, x23 + stp x12, x13, [sp, #320] + ldp x5, x6, [sp, #96] + ldp x4, x3, [sp, #192] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #112] + ldp x4, x3, [sp, #208] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [sp, #128] + ldp x4, x3, [sp, #224] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + csetm x3, cc // cc = lo, ul, last + mov x4, #0xffffffff // #4294967295 + and x4, x4, x3 + adds x5, x5, x4 + eor x4, x4, x3 + adcs x6, x6, x4 + mov x4, #0xfffffffffffffffe // #-2 + and x4, x4, x3 + adcs x7, x7, x4 + adcs x8, x8, x3 + adcs x9, x9, x3 + adc x10, x10, x3 + stp x5, x6, [sp, #240] + stp x7, x8, [sp, #256] + stp x9, x10, [sp, #272] + ldp x5, x6, [sp, #48] + ldp x4, x3, [sp, #288] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #64] + sbcs x7, x7, x2 + sbcs x8, x8, x11 + ldp x9, x10, [sp, #80] + sbcs x9, x9, x12 + sbcs x10, x10, x13 + csetm x3, cc // cc = lo, ul, last + mov x4, #0xffffffff // #4294967295 + and x4, x4, x3 + adds x5, x5, x4 + eor x4, x4, x3 + adcs x6, x6, x4 + mov x4, #0xfffffffffffffffe // #-2 + and x4, x4, x3 + adcs x7, x7, x4 + adcs x8, x8, x3 + adcs x9, x9, x3 + adc x10, x10, x3 + stp x5, x6, [sp, #48] + stp x7, x8, [sp, #64] + stp x9, x10, [sp, #80] + ldr q1, [sp, #240] + ldp x9, x2, [sp, #240] + ldr q0, [sp, #240] + ldp x4, x6, [sp, #256] + rev64 v21.4s, v1.4s + uzp2 v28.4s, v1.4s, v1.4s + umulh x7, x9, x2 + xtn v17.2s, v1.2d + mul v27.4s, v21.4s, v0.4s + ldr q20, [sp, #272] + xtn v30.2s, v0.2d + ldr q1, [sp, #272] + uzp2 v31.4s, v0.4s, v0.4s + ldp x5, x10, [sp, #272] + umulh x8, x9, x4 + uaddlp v3.2d, v27.4s + umull v16.2d, v30.2s, v17.2s + mul x16, x9, x4 + umull v27.2d, v30.2s, v28.2s + shrn v0.2s, v20.2d, #32 + xtn v7.2s, v20.2d + shl v20.2d, v3.2d, #32 + umull v3.2d, v31.2s, v28.2s + mul x3, x2, x4 + umlal v20.2d, v30.2s, v17.2s + umull v22.2d, v7.2s, v0.2s + usra v27.2d, v16.2d, #32 + umulh x11, x2, x4 + movi v21.2d, #0xffffffff + uzp2 v28.4s, v1.4s, v1.4s + adds x15, x16, x7 + and v5.16b, v27.16b, v21.16b + adcs x3, x3, x8 + usra v3.2d, v27.2d, #32 + dup v29.2d, x6 + adcs x16, x11, xzr + mov x14, v20.d[0] + umlal v5.2d, v31.2s, v17.2s + mul x8, x9, x2 + mov x7, v20.d[1] + shl v19.2d, v22.2d, #33 + xtn v25.2s, v29.2d + rev64 v31.4s, v1.4s + lsl x13, x14, #32 + uzp2 v6.4s, v29.4s, v29.4s + umlal v19.2d, v7.2s, v7.2s + usra v3.2d, v5.2d, #32 + adds x1, x8, x8 + umulh x8, x4, x4 + add x12, x13, x14 + mul v17.4s, v31.4s, v29.4s + xtn v4.2s, v1.2d + adcs x14, x15, x15 + lsr x13, x12, #32 + adcs x15, x3, x3 + umull v31.2d, v25.2s, v28.2s + adcs x11, x16, x16 + umull v21.2d, v25.2s, v4.2s + mov x17, v3.d[0] + umull v18.2d, v6.2s, v28.2s + adc x16, x8, xzr + uaddlp v16.2d, v17.4s + movi v1.2d, #0xffffffff + subs x13, x13, x12 + usra v31.2d, v21.2d, #32 + sbc x8, x12, xzr + adds x17, x17, x1 + mul x1, x4, x4 + shl v28.2d, v16.2d, #32 + mov x3, v3.d[1] + adcs x14, x7, x14 + extr x7, x8, x13, #32 + adcs x13, x3, x15 + and v3.16b, v31.16b, v1.16b + adcs x11, x1, x11 + lsr x1, x8, #32 + umlal v3.2d, v6.2s, v4.2s + usra v18.2d, v31.2d, #32 + adc x3, x16, xzr + adds x1, x1, x12 + umlal v28.2d, v25.2s, v4.2s + adc x16, xzr, xzr + subs x15, x17, x7 + sbcs x7, x14, x1 + lsl x1, x15, #32 + sbcs x16, x13, x16 + add x8, x1, x15 + usra v18.2d, v3.2d, #32 + sbcs x14, x11, xzr + lsr x1, x8, #32 + sbcs x17, x3, xzr + sbc x11, x12, xzr + subs x13, x1, x8 + umulh x12, x4, x10 + sbc x1, x8, xzr + extr x13, x1, x13, #32 + lsr x1, x1, #32 + adds x15, x1, x8 + adc x1, xzr, xzr + subs x7, x7, x13 + sbcs x13, x16, x15 + lsl x3, x7, #32 + umulh x16, x2, x5 + sbcs x15, x14, x1 + add x7, x3, x7 + sbcs x3, x17, xzr + lsr x1, x7, #32 + sbcs x14, x11, xzr + sbc x11, x8, xzr + subs x8, x1, x7 + sbc x1, x7, xzr + extr x8, x1, x8, #32 + lsr x1, x1, #32 + adds x1, x1, x7 + adc x17, xzr, xzr + subs x13, x13, x8 + umulh x8, x9, x6 + sbcs x1, x15, x1 + sbcs x15, x3, x17 + sbcs x3, x14, xzr + mul x17, x2, x5 + sbcs x11, x11, xzr + stp x13, x1, [sp, #144] + sbc x14, x7, xzr + mul x7, x4, x10 + subs x1, x9, x2 + stp x15, x3, [sp, #160] + csetm x15, cc // cc = lo, ul, last + cneg x1, x1, cc // cc = lo, ul, last + stp x11, x14, [sp, #176] + mul x14, x9, x6 + adds x17, x8, x17 + adcs x7, x16, x7 + adc x13, x12, xzr + subs x12, x5, x6 + cneg x3, x12, cc // cc = lo, ul, last + cinv x16, x15, cc // cc = lo, ul, last + mul x8, x1, x3 + umulh x1, x1, x3 + eor x12, x8, x16 + adds x11, x17, x14 + adcs x3, x7, x17 + adcs x15, x13, x7 + adc x8, x13, xzr + adds x3, x3, x14 + adcs x15, x15, x17 + adcs x17, x8, x7 + eor x1, x1, x16 + adc x13, x13, xzr + subs x9, x9, x4 + csetm x8, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x4, x2, x4 + cneg x4, x4, cc // cc = lo, ul, last + csetm x7, cc // cc = lo, ul, last + subs x2, x10, x6 + cinv x8, x8, cc // cc = lo, ul, last + cneg x2, x2, cc // cc = lo, ul, last + cmn x16, #0x1 + adcs x11, x11, x12 + mul x12, x9, x2 + adcs x3, x3, x1 + adcs x15, x15, x16 + umulh x9, x9, x2 + adcs x17, x17, x16 + adc x13, x13, x16 + subs x1, x10, x5 + cinv x2, x7, cc // cc = lo, ul, last + cneg x1, x1, cc // cc = lo, ul, last + eor x9, x9, x8 + cmn x8, #0x1 + eor x7, x12, x8 + mul x12, x4, x1 + adcs x3, x3, x7 + adcs x7, x15, x9 + adcs x15, x17, x8 + ldp x9, x17, [sp, #160] + umulh x4, x4, x1 + adc x8, x13, x8 + cmn x2, #0x1 + eor x1, x12, x2 + adcs x1, x7, x1 + ldp x7, x16, [sp, #144] + eor x12, x4, x2 + adcs x4, x15, x12 + ldp x15, x12, [sp, #176] + adc x8, x8, x2 + adds x13, x14, x14 + umulh x14, x5, x10 + adcs x2, x11, x11 + adcs x3, x3, x3 + adcs x1, x1, x1 + adcs x4, x4, x4 + adcs x11, x8, x8 + adc x8, xzr, xzr + adds x13, x13, x7 + adcs x2, x2, x16 + mul x16, x5, x10 + adcs x3, x3, x9 + adcs x1, x1, x17 + umulh x5, x5, x5 + lsl x9, x13, #32 + add x9, x9, x13 + adcs x4, x4, x15 + mov x13, v28.d[1] + adcs x15, x11, x12 + lsr x7, x9, #32 + adc x11, x8, xzr + subs x7, x7, x9 + umulh x10, x10, x10 + sbc x17, x9, xzr + extr x7, x17, x7, #32 + lsr x17, x17, #32 + adds x17, x17, x9 + adc x12, xzr, xzr + subs x8, x2, x7 + sbcs x17, x3, x17 + lsl x7, x8, #32 + sbcs x2, x1, x12 + add x3, x7, x8 + sbcs x12, x4, xzr + lsr x1, x3, #32 + sbcs x7, x15, xzr + sbc x15, x9, xzr + subs x1, x1, x3 + sbc x4, x3, xzr + lsr x9, x4, #32 + extr x8, x4, x1, #32 + adds x9, x9, x3 + adc x4, xzr, xzr + subs x1, x17, x8 + lsl x17, x1, #32 + sbcs x8, x2, x9 + sbcs x9, x12, x4 + add x17, x17, x1 + mov x1, v18.d[1] + lsr x2, x17, #32 + sbcs x7, x7, xzr + mov x12, v18.d[0] + sbcs x15, x15, xzr + sbc x3, x3, xzr + subs x4, x2, x17 + sbc x2, x17, xzr + adds x12, x13, x12 + adcs x16, x16, x1 + lsr x13, x2, #32 + extr x1, x2, x4, #32 + adc x2, x14, xzr + adds x4, x13, x17 + mul x13, x6, x6 + adc x14, xzr, xzr + subs x1, x8, x1 + sbcs x4, x9, x4 + mov x9, v28.d[0] + sbcs x7, x7, x14 + sbcs x8, x15, xzr + sbcs x3, x3, xzr + sbc x14, x17, xzr + adds x17, x9, x9 + adcs x12, x12, x12 + mov x15, v19.d[0] + adcs x9, x16, x16 + umulh x6, x6, x6 + adcs x16, x2, x2 + adc x2, xzr, xzr + adds x11, x11, x8 + adcs x3, x3, xzr + adcs x14, x14, xzr + adcs x8, xzr, xzr + adds x13, x1, x13 + mov x1, v19.d[1] + adcs x6, x4, x6 + mov x4, #0xffffffff // #4294967295 + adcs x15, x7, x15 + adcs x7, x11, x5 + adcs x1, x3, x1 + adcs x14, x14, x10 + adc x11, x8, xzr + adds x6, x6, x17 + adcs x8, x15, x12 + adcs x3, x7, x9 + adcs x15, x1, x16 + mov x16, #0xffffffff00000001 // #-4294967295 + adcs x14, x14, x2 + mov x2, #0x1 // #1 + adc x17, x11, xzr + cmn x13, x16 + adcs xzr, x6, x4 + adcs xzr, x8, x2 + adcs xzr, x3, xzr + adcs xzr, x15, xzr + adcs xzr, x14, xzr + adc x1, x17, xzr + neg x9, x1 + and x1, x16, x9 + adds x11, x13, x1 + and x13, x4, x9 + adcs x5, x6, x13 + and x1, x2, x9 + adcs x7, x8, x1 + stp x11, x5, [sp, #144] + adcs x11, x3, xzr + adcs x2, x15, xzr + stp x7, x11, [sp, #160] + adc x17, x14, xzr + stp x2, x17, [sp, #176] + mov x0, sp + ldr q1, [sp, #48] + ldp x9, x2, [sp, #48] + ldr q0, [sp, #48] + ldp x4, x6, [sp, #64] + rev64 v21.4s, v1.4s + uzp2 v28.4s, v1.4s, v1.4s + umulh x7, x9, x2 + xtn v17.2s, v1.2d + mul v27.4s, v21.4s, v0.4s + ldr q20, [sp, #80] + xtn v30.2s, v0.2d + ldr q1, [sp, #80] + uzp2 v31.4s, v0.4s, v0.4s + ldp x5, x10, [sp, #80] + umulh x8, x9, x4 + uaddlp v3.2d, v27.4s + umull v16.2d, v30.2s, v17.2s + mul x16, x9, x4 + umull v27.2d, v30.2s, v28.2s + shrn v0.2s, v20.2d, #32 + xtn v7.2s, v20.2d + shl v20.2d, v3.2d, #32 + umull v3.2d, v31.2s, v28.2s + mul x3, x2, x4 + umlal v20.2d, v30.2s, v17.2s + umull v22.2d, v7.2s, v0.2s + usra v27.2d, v16.2d, #32 + umulh x11, x2, x4 + movi v21.2d, #0xffffffff + uzp2 v28.4s, v1.4s, v1.4s + adds x15, x16, x7 + and v5.16b, v27.16b, v21.16b + adcs x3, x3, x8 + usra v3.2d, v27.2d, #32 + dup v29.2d, x6 + adcs x16, x11, xzr + mov x14, v20.d[0] + umlal v5.2d, v31.2s, v17.2s + mul x8, x9, x2 + mov x7, v20.d[1] + shl v19.2d, v22.2d, #33 + xtn v25.2s, v29.2d + rev64 v31.4s, v1.4s + lsl x13, x14, #32 + uzp2 v6.4s, v29.4s, v29.4s + umlal v19.2d, v7.2s, v7.2s + usra v3.2d, v5.2d, #32 + adds x1, x8, x8 + umulh x8, x4, x4 + add x12, x13, x14 + mul v17.4s, v31.4s, v29.4s + xtn v4.2s, v1.2d + adcs x14, x15, x15 + lsr x13, x12, #32 + adcs x15, x3, x3 + umull v31.2d, v25.2s, v28.2s + adcs x11, x16, x16 + umull v21.2d, v25.2s, v4.2s + mov x17, v3.d[0] + umull v18.2d, v6.2s, v28.2s + adc x16, x8, xzr + uaddlp v16.2d, v17.4s + movi v1.2d, #0xffffffff + subs x13, x13, x12 + usra v31.2d, v21.2d, #32 + sbc x8, x12, xzr + adds x17, x17, x1 + mul x1, x4, x4 + shl v28.2d, v16.2d, #32 + mov x3, v3.d[1] + adcs x14, x7, x14 + extr x7, x8, x13, #32 + adcs x13, x3, x15 + and v3.16b, v31.16b, v1.16b + adcs x11, x1, x11 + lsr x1, x8, #32 + umlal v3.2d, v6.2s, v4.2s + usra v18.2d, v31.2d, #32 + adc x3, x16, xzr + adds x1, x1, x12 + umlal v28.2d, v25.2s, v4.2s + adc x16, xzr, xzr + subs x15, x17, x7 + sbcs x7, x14, x1 + lsl x1, x15, #32 + sbcs x16, x13, x16 + add x8, x1, x15 + usra v18.2d, v3.2d, #32 + sbcs x14, x11, xzr + lsr x1, x8, #32 + sbcs x17, x3, xzr + sbc x11, x12, xzr + subs x13, x1, x8 + umulh x12, x4, x10 + sbc x1, x8, xzr + extr x13, x1, x13, #32 + lsr x1, x1, #32 + adds x15, x1, x8 + adc x1, xzr, xzr + subs x7, x7, x13 + sbcs x13, x16, x15 + lsl x3, x7, #32 + umulh x16, x2, x5 + sbcs x15, x14, x1 + add x7, x3, x7 + sbcs x3, x17, xzr + lsr x1, x7, #32 + sbcs x14, x11, xzr + sbc x11, x8, xzr + subs x8, x1, x7 + sbc x1, x7, xzr + extr x8, x1, x8, #32 + lsr x1, x1, #32 + adds x1, x1, x7 + adc x17, xzr, xzr + subs x13, x13, x8 + umulh x8, x9, x6 + sbcs x1, x15, x1 + sbcs x15, x3, x17 + sbcs x3, x14, xzr + mul x17, x2, x5 + sbcs x11, x11, xzr + stp x13, x1, [x0] + sbc x14, x7, xzr + mul x7, x4, x10 + subs x1, x9, x2 + stp x15, x3, [x0, #16] + csetm x15, cc // cc = lo, ul, last + cneg x1, x1, cc // cc = lo, ul, last + stp x11, x14, [x0, #32] + mul x14, x9, x6 + adds x17, x8, x17 + adcs x7, x16, x7 + adc x13, x12, xzr + subs x12, x5, x6 + cneg x3, x12, cc // cc = lo, ul, last + cinv x16, x15, cc // cc = lo, ul, last + mul x8, x1, x3 + umulh x1, x1, x3 + eor x12, x8, x16 + adds x11, x17, x14 + adcs x3, x7, x17 + adcs x15, x13, x7 + adc x8, x13, xzr + adds x3, x3, x14 + adcs x15, x15, x17 + adcs x17, x8, x7 + eor x1, x1, x16 + adc x13, x13, xzr + subs x9, x9, x4 + csetm x8, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x4, x2, x4 + cneg x4, x4, cc // cc = lo, ul, last + csetm x7, cc // cc = lo, ul, last + subs x2, x10, x6 + cinv x8, x8, cc // cc = lo, ul, last + cneg x2, x2, cc // cc = lo, ul, last + cmn x16, #0x1 + adcs x11, x11, x12 + mul x12, x9, x2 + adcs x3, x3, x1 + adcs x15, x15, x16 + umulh x9, x9, x2 + adcs x17, x17, x16 + adc x13, x13, x16 + subs x1, x10, x5 + cinv x2, x7, cc // cc = lo, ul, last + cneg x1, x1, cc // cc = lo, ul, last + eor x9, x9, x8 + cmn x8, #0x1 + eor x7, x12, x8 + mul x12, x4, x1 + adcs x3, x3, x7 + adcs x7, x15, x9 + adcs x15, x17, x8 + ldp x9, x17, [x0, #16] + umulh x4, x4, x1 + adc x8, x13, x8 + cmn x2, #0x1 + eor x1, x12, x2 + adcs x1, x7, x1 + ldp x7, x16, [x0] + eor x12, x4, x2 + adcs x4, x15, x12 + ldp x15, x12, [x0, #32] + adc x8, x8, x2 + adds x13, x14, x14 + umulh x14, x5, x10 + adcs x2, x11, x11 + adcs x3, x3, x3 + adcs x1, x1, x1 + adcs x4, x4, x4 + adcs x11, x8, x8 + adc x8, xzr, xzr + adds x13, x13, x7 + adcs x2, x2, x16 + mul x16, x5, x10 + adcs x3, x3, x9 + adcs x1, x1, x17 + umulh x5, x5, x5 + lsl x9, x13, #32 + add x9, x9, x13 + adcs x4, x4, x15 + mov x13, v28.d[1] + adcs x15, x11, x12 + lsr x7, x9, #32 + adc x11, x8, xzr + subs x7, x7, x9 + umulh x10, x10, x10 + sbc x17, x9, xzr + extr x7, x17, x7, #32 + lsr x17, x17, #32 + adds x17, x17, x9 + adc x12, xzr, xzr + subs x8, x2, x7 + sbcs x17, x3, x17 + lsl x7, x8, #32 + sbcs x2, x1, x12 + add x3, x7, x8 + sbcs x12, x4, xzr + lsr x1, x3, #32 + sbcs x7, x15, xzr + sbc x15, x9, xzr + subs x1, x1, x3 + sbc x4, x3, xzr + lsr x9, x4, #32 + extr x8, x4, x1, #32 + adds x9, x9, x3 + adc x4, xzr, xzr + subs x1, x17, x8 + lsl x17, x1, #32 + sbcs x8, x2, x9 + sbcs x9, x12, x4 + add x17, x17, x1 + mov x1, v18.d[1] + lsr x2, x17, #32 + sbcs x7, x7, xzr + mov x12, v18.d[0] + sbcs x15, x15, xzr + sbc x3, x3, xzr + subs x4, x2, x17 + sbc x2, x17, xzr + adds x12, x13, x12 + adcs x16, x16, x1 + lsr x13, x2, #32 + extr x1, x2, x4, #32 + adc x2, x14, xzr + adds x4, x13, x17 + mul x13, x6, x6 + adc x14, xzr, xzr + subs x1, x8, x1 + sbcs x4, x9, x4 + mov x9, v28.d[0] + sbcs x7, x7, x14 + sbcs x8, x15, xzr + sbcs x3, x3, xzr + sbc x14, x17, xzr + adds x17, x9, x9 + adcs x12, x12, x12 + mov x15, v19.d[0] + adcs x9, x16, x16 + umulh x6, x6, x6 + adcs x16, x2, x2 + adc x2, xzr, xzr + adds x11, x11, x8 + adcs x3, x3, xzr + adcs x14, x14, xzr + adcs x8, xzr, xzr + adds x13, x1, x13 + mov x1, v19.d[1] + adcs x6, x4, x6 + mov x4, #0xffffffff // #4294967295 + adcs x15, x7, x15 + adcs x7, x11, x5 + adcs x1, x3, x1 + adcs x14, x14, x10 + adc x11, x8, xzr + adds x6, x6, x17 + adcs x8, x15, x12 + adcs x3, x7, x9 + adcs x15, x1, x16 + mov x16, #0xffffffff00000001 // #-4294967295 + adcs x14, x14, x2 + mov x2, #0x1 // #1 + adc x17, x11, xzr + cmn x13, x16 + adcs xzr, x6, x4 + adcs xzr, x8, x2 + adcs xzr, x3, xzr + adcs xzr, x15, xzr + adcs xzr, x14, xzr + adc x1, x17, xzr + neg x9, x1 + and x1, x16, x9 + adds x11, x13, x1 + and x13, x4, x9 + adcs x5, x6, x13 + and x1, x2, x9 + adcs x7, x8, x1 + stp x11, x5, [x0] + adcs x11, x3, xzr + adcs x2, x15, xzr + stp x7, x11, [x0, #16] + adc x17, x14, xzr + stp x2, x17, [x0, #32] + ldr q3, [sp, #144] + ldr q25, [sp, #192] + ldp x13, x23, [sp, #192] + ldp x3, x21, [sp, #144] + rev64 v23.4s, v25.4s + uzp1 v17.4s, v25.4s, v3.4s + umulh x15, x3, x13 + mul v6.4s, v23.4s, v3.4s + uzp1 v3.4s, v3.4s, v3.4s + ldr q27, [sp, #224] + ldp x8, x24, [sp, #160] + subs x6, x3, x21 + ldr q0, [sp, #176] + movi v23.2d, #0xffffffff + csetm x10, cc // cc = lo, ul, last + umulh x19, x21, x23 + rev64 v4.4s, v27.4s + uzp2 v25.4s, v27.4s, v27.4s + cneg x4, x6, cc // cc = lo, ul, last + subs x7, x23, x13 + xtn v22.2s, v0.2d + xtn v24.2s, v27.2d + cneg x20, x7, cc // cc = lo, ul, last + ldp x6, x14, [sp, #208] + mul v27.4s, v4.4s, v0.4s + uaddlp v20.2d, v6.4s + cinv x5, x10, cc // cc = lo, ul, last + mul x16, x4, x20 + uzp2 v6.4s, v0.4s, v0.4s + umull v21.2d, v22.2s, v25.2s + shl v0.2d, v20.2d, #32 + umlal v0.2d, v3.2s, v17.2s + mul x22, x8, x6 + umull v1.2d, v6.2s, v25.2s + subs x12, x3, x8 + umull v20.2d, v22.2s, v24.2s + cneg x17, x12, cc // cc = lo, ul, last + umulh x9, x8, x6 + mov x12, v0.d[1] + eor x11, x16, x5 + mov x7, v0.d[0] + csetm x10, cc // cc = lo, ul, last + usra v21.2d, v20.2d, #32 + adds x15, x15, x12 + adcs x12, x19, x22 + umulh x20, x4, x20 + adc x19, x9, xzr + usra v1.2d, v21.2d, #32 + adds x22, x15, x7 + and v26.16b, v21.16b, v23.16b + adcs x16, x12, x15 + uaddlp v25.2d, v27.4s + adcs x9, x19, x12 + umlal v26.2d, v6.2s, v24.2s + adc x4, x19, xzr + adds x16, x16, x7 + shl v27.2d, v25.2d, #32 + adcs x9, x9, x15 + adcs x4, x4, x12 + eor x12, x20, x5 + adc x15, x19, xzr + subs x20, x6, x13 + cneg x20, x20, cc // cc = lo, ul, last + cinv x10, x10, cc // cc = lo, ul, last + cmn x5, #0x1 + mul x19, x17, x20 + adcs x11, x22, x11 + adcs x12, x16, x12 + adcs x9, x9, x5 + umulh x17, x17, x20 + adcs x22, x4, x5 + adc x5, x15, x5 + subs x16, x21, x8 + cneg x20, x16, cc // cc = lo, ul, last + eor x19, x19, x10 + csetm x4, cc // cc = lo, ul, last + subs x16, x6, x23 + cneg x16, x16, cc // cc = lo, ul, last + umlal v27.2d, v22.2s, v24.2s + mul x15, x20, x16 + cinv x4, x4, cc // cc = lo, ul, last + cmn x10, #0x1 + usra v1.2d, v26.2d, #32 + adcs x19, x12, x19 + eor x17, x17, x10 + adcs x9, x9, x17 + adcs x22, x22, x10 + lsl x12, x7, #32 + umulh x20, x20, x16 + eor x16, x15, x4 + ldp x15, x17, [sp, #224] + add x2, x12, x7 + adc x7, x5, x10 + ldp x5, x10, [sp, #176] + lsr x1, x2, #32 + eor x12, x20, x4 + subs x1, x1, x2 + sbc x20, x2, xzr + cmn x4, #0x1 + adcs x9, x9, x16 + extr x1, x20, x1, #32 + lsr x20, x20, #32 + adcs x22, x22, x12 + adc x16, x7, x4 + adds x12, x20, x2 + umulh x7, x24, x14 + adc x4, xzr, xzr + subs x1, x11, x1 + sbcs x20, x19, x12 + sbcs x12, x9, x4 + lsl x9, x1, #32 + add x1, x9, x1 + sbcs x9, x22, xzr + mul x22, x24, x14 + sbcs x16, x16, xzr + lsr x4, x1, #32 + sbc x19, x2, xzr + subs x4, x4, x1 + sbc x11, x1, xzr + extr x2, x11, x4, #32 + lsr x4, x11, #32 + adds x4, x4, x1 + adc x11, xzr, xzr + subs x2, x20, x2 + sbcs x4, x12, x4 + sbcs x20, x9, x11 + lsl x12, x2, #32 + add x2, x12, x2 + sbcs x9, x16, xzr + lsr x11, x2, #32 + sbcs x19, x19, xzr + sbc x1, x1, xzr + subs x16, x11, x2 + sbc x12, x2, xzr + extr x16, x12, x16, #32 + lsr x12, x12, #32 + adds x11, x12, x2 + adc x12, xzr, xzr + subs x16, x4, x16 + mov x4, v27.d[0] + sbcs x11, x20, x11 + sbcs x20, x9, x12 + stp x16, x11, [sp, #192] + sbcs x11, x19, xzr + sbcs x9, x1, xzr + stp x20, x11, [sp, #208] + mov x1, v1.d[0] + sbc x20, x2, xzr + subs x12, x24, x5 + mov x11, v27.d[1] + cneg x16, x12, cc // cc = lo, ul, last + csetm x2, cc // cc = lo, ul, last + subs x19, x15, x14 + mov x12, v1.d[1] + cinv x2, x2, cc // cc = lo, ul, last + cneg x19, x19, cc // cc = lo, ul, last + stp x9, x20, [sp, #224] + mul x9, x16, x19 + adds x4, x7, x4 + adcs x11, x1, x11 + adc x1, x12, xzr + adds x20, x4, x22 + umulh x19, x16, x19 + adcs x7, x11, x4 + eor x16, x9, x2 + adcs x9, x1, x11 + adc x12, x1, xzr + adds x7, x7, x22 + adcs x4, x9, x4 + adcs x9, x12, x11 + adc x12, x1, xzr + cmn x2, #0x1 + eor x1, x19, x2 + adcs x11, x20, x16 + adcs x19, x7, x1 + adcs x1, x4, x2 + adcs x20, x9, x2 + adc x2, x12, x2 + subs x12, x24, x10 + cneg x16, x12, cc // cc = lo, ul, last + csetm x12, cc // cc = lo, ul, last + subs x9, x17, x14 + cinv x12, x12, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x3, x24, x3 + sbcs x21, x5, x21 + mul x24, x16, x9 + sbcs x4, x10, x8 + ngc x8, xzr + subs x10, x5, x10 + eor x5, x24, x12 + csetm x7, cc // cc = lo, ul, last + cneg x24, x10, cc // cc = lo, ul, last + subs x10, x17, x15 + cinv x7, x7, cc // cc = lo, ul, last + cneg x10, x10, cc // cc = lo, ul, last + subs x14, x13, x14 + sbcs x15, x23, x15 + eor x13, x21, x8 + mul x23, x24, x10 + sbcs x17, x6, x17 + eor x6, x3, x8 + ngc x21, xzr + umulh x9, x16, x9 + cmn x8, #0x1 + eor x3, x23, x7 + adcs x23, x6, xzr + adcs x13, x13, xzr + eor x16, x4, x8 + adc x16, x16, xzr + eor x4, x17, x21 + umulh x17, x24, x10 + cmn x21, #0x1 + eor x24, x14, x21 + eor x6, x15, x21 + adcs x15, x24, xzr + adcs x14, x6, xzr + adc x6, x4, xzr + cmn x12, #0x1 + eor x4, x9, x12 + adcs x19, x19, x5 + umulh x5, x23, x15 + adcs x1, x1, x4 + adcs x10, x20, x12 + eor x4, x17, x7 + ldp x20, x9, [sp, #192] + adc x2, x2, x12 + cmn x7, #0x1 + adcs x12, x1, x3 + ldp x17, x24, [sp, #208] + mul x1, x16, x6 + adcs x3, x10, x4 + adc x2, x2, x7 + ldp x7, x4, [sp, #224] + adds x20, x22, x20 + mul x10, x13, x14 + adcs x11, x11, x9 + eor x9, x8, x21 + adcs x21, x19, x17 + stp x20, x11, [sp, #192] + adcs x12, x12, x24 + mul x8, x23, x15 + adcs x3, x3, x7 + stp x21, x12, [sp, #208] + adcs x12, x2, x4 + adc x19, xzr, xzr + subs x21, x23, x16 + umulh x2, x16, x6 + stp x3, x12, [sp, #224] + cneg x3, x21, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + umulh x11, x13, x14 + subs x21, x13, x16 + eor x7, x8, x9 + cneg x17, x21, cc // cc = lo, ul, last + csetm x16, cc // cc = lo, ul, last + subs x21, x6, x15 + cneg x22, x21, cc // cc = lo, ul, last + cinv x21, x24, cc // cc = lo, ul, last + subs x20, x23, x13 + umulh x12, x3, x22 + cneg x23, x20, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + subs x20, x14, x15 + cinv x24, x24, cc // cc = lo, ul, last + mul x22, x3, x22 + cneg x3, x20, cc // cc = lo, ul, last + subs x13, x6, x14 + cneg x20, x13, cc // cc = lo, ul, last + cinv x15, x16, cc // cc = lo, ul, last + adds x13, x5, x10 + mul x4, x23, x3 + adcs x11, x11, x1 + adc x14, x2, xzr + adds x5, x13, x8 + adcs x16, x11, x13 + umulh x23, x23, x3 + adcs x3, x14, x11 + adc x1, x14, xzr + adds x10, x16, x8 + adcs x6, x3, x13 + adcs x8, x1, x11 + umulh x13, x17, x20 + eor x1, x4, x24 + adc x4, x14, xzr + cmn x24, #0x1 + adcs x1, x5, x1 + eor x16, x23, x24 + eor x11, x1, x9 + adcs x23, x10, x16 + eor x2, x22, x21 + adcs x3, x6, x24 + mul x14, x17, x20 + eor x17, x13, x15 + adcs x13, x8, x24 + adc x8, x4, x24 + cmn x21, #0x1 + adcs x6, x23, x2 + mov x16, #0xfffffffffffffffe // #-2 + eor x20, x12, x21 + adcs x20, x3, x20 + eor x23, x14, x15 + adcs x2, x13, x21 + adc x8, x8, x21 + cmn x15, #0x1 + ldp x5, x4, [sp, #192] + ldp x21, x12, [sp, #208] + adcs x22, x20, x23 + eor x23, x22, x9 + adcs x17, x2, x17 + adc x22, x8, x15 + cmn x9, #0x1 + adcs x15, x7, x5 + ldp x10, x14, [sp, #224] + eor x1, x6, x9 + lsl x2, x15, #32 + adcs x8, x11, x4 + adcs x13, x1, x21 + eor x1, x22, x9 + adcs x24, x23, x12 + eor x11, x17, x9 + adcs x23, x11, x10 + adcs x7, x1, x14 + adcs x17, x9, x19 + adcs x20, x9, xzr + add x1, x2, x15 + lsr x3, x1, #32 + adcs x11, x9, xzr + adc x9, x9, xzr + subs x3, x3, x1 + sbc x6, x1, xzr + adds x24, x24, x5 + adcs x4, x23, x4 + extr x3, x6, x3, #32 + lsr x6, x6, #32 + adcs x21, x7, x21 + adcs x15, x17, x12 + adcs x7, x20, x10 + adcs x20, x11, x14 + mov x14, #0xffffffff // #4294967295 + adc x22, x9, x19 + adds x12, x6, x1 + adc x10, xzr, xzr + subs x3, x8, x3 + sbcs x12, x13, x12 + lsl x9, x3, #32 + add x3, x9, x3 + sbcs x10, x24, x10 + sbcs x24, x4, xzr + lsr x9, x3, #32 + sbcs x21, x21, xzr + sbc x1, x1, xzr + subs x9, x9, x3 + sbc x13, x3, xzr + extr x9, x13, x9, #32 + lsr x13, x13, #32 + adds x13, x13, x3 + adc x6, xzr, xzr + subs x12, x12, x9 + sbcs x17, x10, x13 + lsl x2, x12, #32 + sbcs x10, x24, x6 + add x9, x2, x12 + sbcs x6, x21, xzr + lsr x5, x9, #32 + sbcs x21, x1, xzr + sbc x13, x3, xzr + subs x8, x5, x9 + sbc x19, x9, xzr + lsr x12, x19, #32 + extr x3, x19, x8, #32 + adds x8, x12, x9 + adc x1, xzr, xzr + subs x2, x17, x3 + sbcs x12, x10, x8 + sbcs x5, x6, x1 + sbcs x3, x21, xzr + sbcs x19, x13, xzr + sbc x24, x9, xzr + adds x23, x15, x3 + adcs x8, x7, x19 + adcs x11, x20, x24 + adc x9, x22, xzr + add x24, x9, #0x1 + lsl x7, x24, #32 + subs x21, x24, x7 + sbc x10, x7, xzr + adds x6, x2, x21 + adcs x7, x12, x10 + adcs x24, x5, x24 + adcs x13, x23, xzr + adcs x8, x8, xzr + adcs x15, x11, xzr + csetm x23, cc // cc = lo, ul, last + and x11, x16, x23 + and x20, x14, x23 + adds x22, x6, x20 + eor x3, x20, x23 + adcs x5, x7, x3 + adcs x14, x24, x11 + stp x22, x5, [sp, #192] + adcs x5, x13, x23 + adcs x21, x8, x23 + stp x14, x5, [sp, #208] + adc x12, x15, x23 + stp x21, x12, [sp, #224] + ldr q3, [sp, #144] + ldr q25, [sp, #96] + ldp x13, x23, [sp, #96] + ldp x3, x21, [sp, #144] + rev64 v23.4s, v25.4s + uzp1 v17.4s, v25.4s, v3.4s + umulh x15, x3, x13 + mul v6.4s, v23.4s, v3.4s + uzp1 v3.4s, v3.4s, v3.4s + ldr q27, [sp, #128] + ldp x8, x24, [sp, #160] + subs x6, x3, x21 + ldr q0, [sp, #176] + movi v23.2d, #0xffffffff + csetm x10, cc // cc = lo, ul, last + umulh x19, x21, x23 + rev64 v4.4s, v27.4s + uzp2 v25.4s, v27.4s, v27.4s + cneg x4, x6, cc // cc = lo, ul, last + subs x7, x23, x13 + xtn v22.2s, v0.2d + xtn v24.2s, v27.2d + cneg x20, x7, cc // cc = lo, ul, last + ldp x6, x14, [sp, #112] + mul v27.4s, v4.4s, v0.4s + uaddlp v20.2d, v6.4s + cinv x5, x10, cc // cc = lo, ul, last + mul x16, x4, x20 + uzp2 v6.4s, v0.4s, v0.4s + umull v21.2d, v22.2s, v25.2s + shl v0.2d, v20.2d, #32 + umlal v0.2d, v3.2s, v17.2s + mul x22, x8, x6 + umull v1.2d, v6.2s, v25.2s + subs x12, x3, x8 + umull v20.2d, v22.2s, v24.2s + cneg x17, x12, cc // cc = lo, ul, last + umulh x9, x8, x6 + mov x12, v0.d[1] + eor x11, x16, x5 + mov x7, v0.d[0] + csetm x10, cc // cc = lo, ul, last + usra v21.2d, v20.2d, #32 + adds x15, x15, x12 + adcs x12, x19, x22 + umulh x20, x4, x20 + adc x19, x9, xzr + usra v1.2d, v21.2d, #32 + adds x22, x15, x7 + and v26.16b, v21.16b, v23.16b + adcs x16, x12, x15 + uaddlp v25.2d, v27.4s + adcs x9, x19, x12 + umlal v26.2d, v6.2s, v24.2s + adc x4, x19, xzr + adds x16, x16, x7 + shl v27.2d, v25.2d, #32 + adcs x9, x9, x15 + adcs x4, x4, x12 + eor x12, x20, x5 + adc x15, x19, xzr + subs x20, x6, x13 + cneg x20, x20, cc // cc = lo, ul, last + cinv x10, x10, cc // cc = lo, ul, last + cmn x5, #0x1 + mul x19, x17, x20 + adcs x11, x22, x11 + adcs x12, x16, x12 + adcs x9, x9, x5 + umulh x17, x17, x20 + adcs x22, x4, x5 + adc x5, x15, x5 + subs x16, x21, x8 + cneg x20, x16, cc // cc = lo, ul, last + eor x19, x19, x10 + csetm x4, cc // cc = lo, ul, last + subs x16, x6, x23 + cneg x16, x16, cc // cc = lo, ul, last + umlal v27.2d, v22.2s, v24.2s + mul x15, x20, x16 + cinv x4, x4, cc // cc = lo, ul, last + cmn x10, #0x1 + usra v1.2d, v26.2d, #32 + adcs x19, x12, x19 + eor x17, x17, x10 + adcs x9, x9, x17 + adcs x22, x22, x10 + lsl x12, x7, #32 + umulh x20, x20, x16 + eor x16, x15, x4 + ldp x15, x17, [sp, #128] + add x2, x12, x7 + adc x7, x5, x10 + ldp x5, x10, [sp, #176] + lsr x1, x2, #32 + eor x12, x20, x4 + subs x1, x1, x2 + sbc x20, x2, xzr + cmn x4, #0x1 + adcs x9, x9, x16 + extr x1, x20, x1, #32 + lsr x20, x20, #32 + adcs x22, x22, x12 + adc x16, x7, x4 + adds x12, x20, x2 + umulh x7, x24, x14 + adc x4, xzr, xzr + subs x1, x11, x1 + sbcs x20, x19, x12 + sbcs x12, x9, x4 + lsl x9, x1, #32 + add x1, x9, x1 + sbcs x9, x22, xzr + mul x22, x24, x14 + sbcs x16, x16, xzr + lsr x4, x1, #32 + sbc x19, x2, xzr + subs x4, x4, x1 + sbc x11, x1, xzr + extr x2, x11, x4, #32 + lsr x4, x11, #32 + adds x4, x4, x1 + adc x11, xzr, xzr + subs x2, x20, x2 + sbcs x4, x12, x4 + sbcs x20, x9, x11 + lsl x12, x2, #32 + add x2, x12, x2 + sbcs x9, x16, xzr + lsr x11, x2, #32 + sbcs x19, x19, xzr + sbc x1, x1, xzr + subs x16, x11, x2 + sbc x12, x2, xzr + extr x16, x12, x16, #32 + lsr x12, x12, #32 + adds x11, x12, x2 + adc x12, xzr, xzr + subs x16, x4, x16 + mov x4, v27.d[0] + sbcs x11, x20, x11 + sbcs x20, x9, x12 + stp x16, x11, [sp, #96] + sbcs x11, x19, xzr + sbcs x9, x1, xzr + stp x20, x11, [sp, #112] + mov x1, v1.d[0] + sbc x20, x2, xzr + subs x12, x24, x5 + mov x11, v27.d[1] + cneg x16, x12, cc // cc = lo, ul, last + csetm x2, cc // cc = lo, ul, last + subs x19, x15, x14 + mov x12, v1.d[1] + cinv x2, x2, cc // cc = lo, ul, last + cneg x19, x19, cc // cc = lo, ul, last + stp x9, x20, [sp, #128] + mul x9, x16, x19 + adds x4, x7, x4 + adcs x11, x1, x11 + adc x1, x12, xzr + adds x20, x4, x22 + umulh x19, x16, x19 + adcs x7, x11, x4 + eor x16, x9, x2 + adcs x9, x1, x11 + adc x12, x1, xzr + adds x7, x7, x22 + adcs x4, x9, x4 + adcs x9, x12, x11 + adc x12, x1, xzr + cmn x2, #0x1 + eor x1, x19, x2 + adcs x11, x20, x16 + adcs x19, x7, x1 + adcs x1, x4, x2 + adcs x20, x9, x2 + adc x2, x12, x2 + subs x12, x24, x10 + cneg x16, x12, cc // cc = lo, ul, last + csetm x12, cc // cc = lo, ul, last + subs x9, x17, x14 + cinv x12, x12, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x3, x24, x3 + sbcs x21, x5, x21 + mul x24, x16, x9 + sbcs x4, x10, x8 + ngc x8, xzr + subs x10, x5, x10 + eor x5, x24, x12 + csetm x7, cc // cc = lo, ul, last + cneg x24, x10, cc // cc = lo, ul, last + subs x10, x17, x15 + cinv x7, x7, cc // cc = lo, ul, last + cneg x10, x10, cc // cc = lo, ul, last + subs x14, x13, x14 + sbcs x15, x23, x15 + eor x13, x21, x8 + mul x23, x24, x10 + sbcs x17, x6, x17 + eor x6, x3, x8 + ngc x21, xzr + umulh x9, x16, x9 + cmn x8, #0x1 + eor x3, x23, x7 + adcs x23, x6, xzr + adcs x13, x13, xzr + eor x16, x4, x8 + adc x16, x16, xzr + eor x4, x17, x21 + umulh x17, x24, x10 + cmn x21, #0x1 + eor x24, x14, x21 + eor x6, x15, x21 + adcs x15, x24, xzr + adcs x14, x6, xzr + adc x6, x4, xzr + cmn x12, #0x1 + eor x4, x9, x12 + adcs x19, x19, x5 + umulh x5, x23, x15 + adcs x1, x1, x4 + adcs x10, x20, x12 + eor x4, x17, x7 + ldp x20, x9, [sp, #96] + adc x2, x2, x12 + cmn x7, #0x1 + adcs x12, x1, x3 + ldp x17, x24, [sp, #112] + mul x1, x16, x6 + adcs x3, x10, x4 + adc x2, x2, x7 + ldp x7, x4, [sp, #128] + adds x20, x22, x20 + mul x10, x13, x14 + adcs x11, x11, x9 + eor x9, x8, x21 + adcs x21, x19, x17 + stp x20, x11, [sp, #96] + adcs x12, x12, x24 + mul x8, x23, x15 + adcs x3, x3, x7 + stp x21, x12, [sp, #112] + adcs x12, x2, x4 + adc x19, xzr, xzr + subs x21, x23, x16 + umulh x2, x16, x6 + stp x3, x12, [sp, #128] + cneg x3, x21, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + umulh x11, x13, x14 + subs x21, x13, x16 + eor x7, x8, x9 + cneg x17, x21, cc // cc = lo, ul, last + csetm x16, cc // cc = lo, ul, last + subs x21, x6, x15 + cneg x22, x21, cc // cc = lo, ul, last + cinv x21, x24, cc // cc = lo, ul, last + subs x20, x23, x13 + umulh x12, x3, x22 + cneg x23, x20, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + subs x20, x14, x15 + cinv x24, x24, cc // cc = lo, ul, last + mul x22, x3, x22 + cneg x3, x20, cc // cc = lo, ul, last + subs x13, x6, x14 + cneg x20, x13, cc // cc = lo, ul, last + cinv x15, x16, cc // cc = lo, ul, last + adds x13, x5, x10 + mul x4, x23, x3 + adcs x11, x11, x1 + adc x14, x2, xzr + adds x5, x13, x8 + adcs x16, x11, x13 + umulh x23, x23, x3 + adcs x3, x14, x11 + adc x1, x14, xzr + adds x10, x16, x8 + adcs x6, x3, x13 + adcs x8, x1, x11 + umulh x13, x17, x20 + eor x1, x4, x24 + adc x4, x14, xzr + cmn x24, #0x1 + adcs x1, x5, x1 + eor x16, x23, x24 + eor x11, x1, x9 + adcs x23, x10, x16 + eor x2, x22, x21 + adcs x3, x6, x24 + mul x14, x17, x20 + eor x17, x13, x15 + adcs x13, x8, x24 + adc x8, x4, x24 + cmn x21, #0x1 + adcs x6, x23, x2 + mov x16, #0xfffffffffffffffe // #-2 + eor x20, x12, x21 + adcs x20, x3, x20 + eor x23, x14, x15 + adcs x2, x13, x21 + adc x8, x8, x21 + cmn x15, #0x1 + ldp x5, x4, [sp, #96] + ldp x21, x12, [sp, #112] + adcs x22, x20, x23 + eor x23, x22, x9 + adcs x17, x2, x17 + adc x22, x8, x15 + cmn x9, #0x1 + adcs x15, x7, x5 + ldp x10, x14, [sp, #128] + eor x1, x6, x9 + lsl x2, x15, #32 + adcs x8, x11, x4 + adcs x13, x1, x21 + eor x1, x22, x9 + adcs x24, x23, x12 + eor x11, x17, x9 + adcs x23, x11, x10 + adcs x7, x1, x14 + adcs x17, x9, x19 + adcs x20, x9, xzr + add x1, x2, x15 + lsr x3, x1, #32 + adcs x11, x9, xzr + adc x9, x9, xzr + subs x3, x3, x1 + sbc x6, x1, xzr + adds x24, x24, x5 + adcs x4, x23, x4 + extr x3, x6, x3, #32 + lsr x6, x6, #32 + adcs x21, x7, x21 + adcs x15, x17, x12 + adcs x7, x20, x10 + adcs x20, x11, x14 + mov x14, #0xffffffff // #4294967295 + adc x22, x9, x19 + adds x12, x6, x1 + adc x10, xzr, xzr + subs x3, x8, x3 + sbcs x12, x13, x12 + lsl x9, x3, #32 + add x3, x9, x3 + sbcs x10, x24, x10 + sbcs x24, x4, xzr + lsr x9, x3, #32 + sbcs x21, x21, xzr + sbc x1, x1, xzr + subs x9, x9, x3 + sbc x13, x3, xzr + extr x9, x13, x9, #32 + lsr x13, x13, #32 + adds x13, x13, x3 + adc x6, xzr, xzr + subs x12, x12, x9 + sbcs x17, x10, x13 + lsl x2, x12, #32 + sbcs x10, x24, x6 + add x9, x2, x12 + sbcs x6, x21, xzr + lsr x5, x9, #32 + sbcs x21, x1, xzr + sbc x13, x3, xzr + subs x8, x5, x9 + sbc x19, x9, xzr + lsr x12, x19, #32 + extr x3, x19, x8, #32 + adds x8, x12, x9 + adc x1, xzr, xzr + subs x2, x17, x3 + sbcs x12, x10, x8 + sbcs x5, x6, x1 + sbcs x3, x21, xzr + sbcs x19, x13, xzr + sbc x24, x9, xzr + adds x23, x15, x3 + adcs x8, x7, x19 + adcs x11, x20, x24 + adc x9, x22, xzr + add x24, x9, #0x1 + lsl x7, x24, #32 + subs x21, x24, x7 + sbc x10, x7, xzr + adds x6, x2, x21 + adcs x7, x12, x10 + adcs x24, x5, x24 + adcs x13, x23, xzr + adcs x8, x8, xzr + adcs x15, x11, xzr + csetm x23, cc // cc = lo, ul, last + and x11, x16, x23 + and x20, x14, x23 + adds x22, x6, x20 + eor x3, x20, x23 + adcs x5, x7, x3 + adcs x2, x24, x11 + stp x22, x5, [sp, #96] + adcs x11, x13, x23 + adcs x12, x8, x23 + stp x2, x11, [sp, #112] + adc x13, x15, x23 + stp x12, x13, [sp, #128] + mov x0, sp + mov x1, sp + ldp x5, x6, [x1] + ldp x4, x3, [sp, #192] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [x1, #16] + ldp x4, x3, [sp, #208] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [x1, #32] + ldp x4, x3, [sp, #224] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + csetm x3, cc // cc = lo, ul, last + mov x4, #0xffffffff // #4294967295 + and x4, x4, x3 + adds x5, x5, x4 + eor x4, x4, x3 + adcs x6, x6, x4 + mov x4, #0xfffffffffffffffe // #-2 + and x4, x4, x3 + adcs x7, x7, x4 + adcs x8, x8, x3 + adcs x9, x9, x3 + adc x10, x10, x3 + stp x5, x6, [x0] + stp x7, x8, [x0, #16] + stp x9, x10, [x0, #32] + ldp x5, x6, [sp, #96] + ldp x4, x3, [sp, #192] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x4, x3, [sp, #208] + sbcs x7, x2, x4 + sbcs x8, x11, x3 + ldp x4, x3, [sp, #224] + sbcs x9, x12, x4 + sbcs x10, x13, x3 + csetm x3, cc // cc = lo, ul, last + mov x4, #0xffffffff // #4294967295 + and x4, x4, x3 + adds x5, x5, x4 + eor x4, x4, x3 + adcs x6, x6, x4 + mov x4, #0xfffffffffffffffe // #-2 + and x4, x4, x3 + adcs x7, x7, x4 + adcs x8, x8, x3 + adcs x9, x9, x3 + adc x10, x10, x3 + stp x5, x6, [sp, #144] + stp x7, x8, [sp, #160] + stp x9, x10, [sp, #176] + ldr q3, [sp, #240] + ldr q25, [x25, #96] + ldp x13, x23, [x25, #96] + ldp x3, x21, [sp, #240] + rev64 v23.4s, v25.4s + uzp1 v17.4s, v25.4s, v3.4s + umulh x15, x3, x13 + mul v6.4s, v23.4s, v3.4s + uzp1 v3.4s, v3.4s, v3.4s + ldr q27, [x25, #128] + ldp x8, x24, [sp, #256] + subs x6, x3, x21 + ldr q0, [sp, #272] + movi v23.2d, #0xffffffff + csetm x10, cc // cc = lo, ul, last + umulh x19, x21, x23 + rev64 v4.4s, v27.4s + uzp2 v25.4s, v27.4s, v27.4s + cneg x4, x6, cc // cc = lo, ul, last + subs x7, x23, x13 + xtn v22.2s, v0.2d + xtn v24.2s, v27.2d + cneg x20, x7, cc // cc = lo, ul, last + ldp x6, x14, [x25, #112] + mul v27.4s, v4.4s, v0.4s + uaddlp v20.2d, v6.4s + cinv x5, x10, cc // cc = lo, ul, last + mul x16, x4, x20 + uzp2 v6.4s, v0.4s, v0.4s + umull v21.2d, v22.2s, v25.2s + shl v0.2d, v20.2d, #32 + umlal v0.2d, v3.2s, v17.2s + mul x22, x8, x6 + umull v1.2d, v6.2s, v25.2s + subs x12, x3, x8 + umull v20.2d, v22.2s, v24.2s + cneg x17, x12, cc // cc = lo, ul, last + umulh x9, x8, x6 + mov x12, v0.d[1] + eor x11, x16, x5 + mov x7, v0.d[0] + csetm x10, cc // cc = lo, ul, last + usra v21.2d, v20.2d, #32 + adds x15, x15, x12 + adcs x12, x19, x22 + umulh x20, x4, x20 + adc x19, x9, xzr + usra v1.2d, v21.2d, #32 + adds x22, x15, x7 + and v26.16b, v21.16b, v23.16b + adcs x16, x12, x15 + uaddlp v25.2d, v27.4s + adcs x9, x19, x12 + umlal v26.2d, v6.2s, v24.2s + adc x4, x19, xzr + adds x16, x16, x7 + shl v27.2d, v25.2d, #32 + adcs x9, x9, x15 + adcs x4, x4, x12 + eor x12, x20, x5 + adc x15, x19, xzr + subs x20, x6, x13 + cneg x20, x20, cc // cc = lo, ul, last + cinv x10, x10, cc // cc = lo, ul, last + cmn x5, #0x1 + mul x19, x17, x20 + adcs x11, x22, x11 + adcs x12, x16, x12 + adcs x9, x9, x5 + umulh x17, x17, x20 + adcs x22, x4, x5 + adc x5, x15, x5 + subs x16, x21, x8 + cneg x20, x16, cc // cc = lo, ul, last + eor x19, x19, x10 + csetm x4, cc // cc = lo, ul, last + subs x16, x6, x23 + cneg x16, x16, cc // cc = lo, ul, last + umlal v27.2d, v22.2s, v24.2s + mul x15, x20, x16 + cinv x4, x4, cc // cc = lo, ul, last + cmn x10, #0x1 + usra v1.2d, v26.2d, #32 + adcs x19, x12, x19 + eor x17, x17, x10 + adcs x9, x9, x17 + adcs x22, x22, x10 + lsl x12, x7, #32 + umulh x20, x20, x16 + eor x16, x15, x4 + ldp x15, x17, [x25, #128] + add x2, x12, x7 + adc x7, x5, x10 + ldp x5, x10, [sp, #272] + lsr x1, x2, #32 + eor x12, x20, x4 + subs x1, x1, x2 + sbc x20, x2, xzr + cmn x4, #0x1 + adcs x9, x9, x16 + extr x1, x20, x1, #32 + lsr x20, x20, #32 + adcs x22, x22, x12 + adc x16, x7, x4 + adds x12, x20, x2 + umulh x7, x24, x14 + adc x4, xzr, xzr + subs x1, x11, x1 + sbcs x20, x19, x12 + sbcs x12, x9, x4 + lsl x9, x1, #32 + add x1, x9, x1 + sbcs x9, x22, xzr + mul x22, x24, x14 + sbcs x16, x16, xzr + lsr x4, x1, #32 + sbc x19, x2, xzr + subs x4, x4, x1 + sbc x11, x1, xzr + extr x2, x11, x4, #32 + lsr x4, x11, #32 + adds x4, x4, x1 + adc x11, xzr, xzr + subs x2, x20, x2 + sbcs x4, x12, x4 + sbcs x20, x9, x11 + lsl x12, x2, #32 + add x2, x12, x2 + sbcs x9, x16, xzr + lsr x11, x2, #32 + sbcs x19, x19, xzr + sbc x1, x1, xzr + subs x16, x11, x2 + sbc x12, x2, xzr + extr x16, x12, x16, #32 + lsr x12, x12, #32 + adds x11, x12, x2 + adc x12, xzr, xzr + subs x16, x4, x16 + mov x4, v27.d[0] + sbcs x11, x20, x11 + sbcs x20, x9, x12 + stp x16, x11, [sp, #240] + sbcs x11, x19, xzr + sbcs x9, x1, xzr + stp x20, x11, [sp, #256] + mov x1, v1.d[0] + sbc x20, x2, xzr + subs x12, x24, x5 + mov x11, v27.d[1] + cneg x16, x12, cc // cc = lo, ul, last + csetm x2, cc // cc = lo, ul, last + subs x19, x15, x14 + mov x12, v1.d[1] + cinv x2, x2, cc // cc = lo, ul, last + cneg x19, x19, cc // cc = lo, ul, last + stp x9, x20, [sp, #272] + mul x9, x16, x19 + adds x4, x7, x4 + adcs x11, x1, x11 + adc x1, x12, xzr + adds x20, x4, x22 + umulh x19, x16, x19 + adcs x7, x11, x4 + eor x16, x9, x2 + adcs x9, x1, x11 + adc x12, x1, xzr + adds x7, x7, x22 + adcs x4, x9, x4 + adcs x9, x12, x11 + adc x12, x1, xzr + cmn x2, #0x1 + eor x1, x19, x2 + adcs x11, x20, x16 + adcs x19, x7, x1 + adcs x1, x4, x2 + adcs x20, x9, x2 + adc x2, x12, x2 + subs x12, x24, x10 + cneg x16, x12, cc // cc = lo, ul, last + csetm x12, cc // cc = lo, ul, last + subs x9, x17, x14 + cinv x12, x12, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x3, x24, x3 + sbcs x21, x5, x21 + mul x24, x16, x9 + sbcs x4, x10, x8 + ngc x8, xzr + subs x10, x5, x10 + eor x5, x24, x12 + csetm x7, cc // cc = lo, ul, last + cneg x24, x10, cc // cc = lo, ul, last + subs x10, x17, x15 + cinv x7, x7, cc // cc = lo, ul, last + cneg x10, x10, cc // cc = lo, ul, last + subs x14, x13, x14 + sbcs x15, x23, x15 + eor x13, x21, x8 + mul x23, x24, x10 + sbcs x17, x6, x17 + eor x6, x3, x8 + ngc x21, xzr + umulh x9, x16, x9 + cmn x8, #0x1 + eor x3, x23, x7 + adcs x23, x6, xzr + adcs x13, x13, xzr + eor x16, x4, x8 + adc x16, x16, xzr + eor x4, x17, x21 + umulh x17, x24, x10 + cmn x21, #0x1 + eor x24, x14, x21 + eor x6, x15, x21 + adcs x15, x24, xzr + adcs x14, x6, xzr + adc x6, x4, xzr + cmn x12, #0x1 + eor x4, x9, x12 + adcs x19, x19, x5 + umulh x5, x23, x15 + adcs x1, x1, x4 + adcs x10, x20, x12 + eor x4, x17, x7 + ldp x20, x9, [sp, #240] + adc x2, x2, x12 + cmn x7, #0x1 + adcs x12, x1, x3 + ldp x17, x24, [sp, #256] + mul x1, x16, x6 + adcs x3, x10, x4 + adc x2, x2, x7 + ldp x7, x4, [sp, #272] + adds x20, x22, x20 + mul x10, x13, x14 + adcs x11, x11, x9 + eor x9, x8, x21 + adcs x21, x19, x17 + stp x20, x11, [sp, #240] + adcs x12, x12, x24 + mul x8, x23, x15 + adcs x3, x3, x7 + stp x21, x12, [sp, #256] + adcs x12, x2, x4 + adc x19, xzr, xzr + subs x21, x23, x16 + umulh x2, x16, x6 + stp x3, x12, [sp, #272] + cneg x3, x21, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + umulh x11, x13, x14 + subs x21, x13, x16 + eor x7, x8, x9 + cneg x17, x21, cc // cc = lo, ul, last + csetm x16, cc // cc = lo, ul, last + subs x21, x6, x15 + cneg x22, x21, cc // cc = lo, ul, last + cinv x21, x24, cc // cc = lo, ul, last + subs x20, x23, x13 + umulh x12, x3, x22 + cneg x23, x20, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + subs x20, x14, x15 + cinv x24, x24, cc // cc = lo, ul, last + mul x22, x3, x22 + cneg x3, x20, cc // cc = lo, ul, last + subs x13, x6, x14 + cneg x20, x13, cc // cc = lo, ul, last + cinv x15, x16, cc // cc = lo, ul, last + adds x13, x5, x10 + mul x4, x23, x3 + adcs x11, x11, x1 + adc x14, x2, xzr + adds x5, x13, x8 + adcs x16, x11, x13 + umulh x23, x23, x3 + adcs x3, x14, x11 + adc x1, x14, xzr + adds x10, x16, x8 + adcs x6, x3, x13 + adcs x8, x1, x11 + umulh x13, x17, x20 + eor x1, x4, x24 + adc x4, x14, xzr + cmn x24, #0x1 + adcs x1, x5, x1 + eor x16, x23, x24 + eor x11, x1, x9 + adcs x23, x10, x16 + eor x2, x22, x21 + adcs x3, x6, x24 + mul x14, x17, x20 + eor x17, x13, x15 + adcs x13, x8, x24 + adc x8, x4, x24 + cmn x21, #0x1 + adcs x6, x23, x2 + mov x16, #0xfffffffffffffffe // #-2 + eor x20, x12, x21 + adcs x20, x3, x20 + eor x23, x14, x15 + adcs x2, x13, x21 + adc x8, x8, x21 + cmn x15, #0x1 + ldp x5, x4, [sp, #240] + ldp x21, x12, [sp, #256] + adcs x22, x20, x23 + eor x23, x22, x9 + adcs x17, x2, x17 + adc x22, x8, x15 + cmn x9, #0x1 + adcs x15, x7, x5 + ldp x10, x14, [sp, #272] + eor x1, x6, x9 + lsl x2, x15, #32 + adcs x8, x11, x4 + adcs x13, x1, x21 + eor x1, x22, x9 + adcs x24, x23, x12 + eor x11, x17, x9 + adcs x23, x11, x10 + adcs x7, x1, x14 + adcs x17, x9, x19 + adcs x20, x9, xzr + add x1, x2, x15 + lsr x3, x1, #32 + adcs x11, x9, xzr + adc x9, x9, xzr + subs x3, x3, x1 + sbc x6, x1, xzr + adds x24, x24, x5 + adcs x4, x23, x4 + extr x3, x6, x3, #32 + lsr x6, x6, #32 + adcs x21, x7, x21 + adcs x15, x17, x12 + adcs x7, x20, x10 + adcs x20, x11, x14 + mov x14, #0xffffffff // #4294967295 + adc x22, x9, x19 + adds x12, x6, x1 + adc x10, xzr, xzr + subs x3, x8, x3 + sbcs x12, x13, x12 + lsl x9, x3, #32 + add x3, x9, x3 + sbcs x10, x24, x10 + sbcs x24, x4, xzr + lsr x9, x3, #32 + sbcs x21, x21, xzr + sbc x1, x1, xzr + subs x9, x9, x3 + sbc x13, x3, xzr + extr x9, x13, x9, #32 + lsr x13, x13, #32 + adds x13, x13, x3 + adc x6, xzr, xzr + subs x12, x12, x9 + sbcs x17, x10, x13 + lsl x2, x12, #32 + sbcs x10, x24, x6 + add x9, x2, x12 + sbcs x6, x21, xzr + lsr x5, x9, #32 + sbcs x21, x1, xzr + sbc x13, x3, xzr + subs x8, x5, x9 + sbc x19, x9, xzr + lsr x12, x19, #32 + extr x3, x19, x8, #32 + adds x8, x12, x9 + adc x1, xzr, xzr + subs x2, x17, x3 + sbcs x12, x10, x8 + sbcs x5, x6, x1 + sbcs x3, x21, xzr + sbcs x19, x13, xzr + sbc x24, x9, xzr + adds x23, x15, x3 + adcs x8, x7, x19 + adcs x11, x20, x24 + adc x9, x22, xzr + add x24, x9, #0x1 + lsl x7, x24, #32 + subs x21, x24, x7 + sbc x10, x7, xzr + adds x6, x2, x21 + adcs x7, x12, x10 + adcs x24, x5, x24 + adcs x13, x23, xzr + adcs x8, x8, xzr + adcs x15, x11, xzr + csetm x23, cc // cc = lo, ul, last + and x11, x16, x23 + and x20, x14, x23 + adds x22, x6, x20 + eor x3, x20, x23 + adcs x5, x7, x3 + adcs x14, x24, x11 + stp x22, x5, [sp, #240] + adcs x5, x13, x23 + adcs x21, x8, x23 + stp x14, x5, [sp, #256] + adc x12, x15, x23 + stp x21, x12, [sp, #272] + mov x0, sp + mov x1, sp + ldp x5, x6, [x1] + ldp x4, x3, [sp, #96] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [x1, #16] + ldp x4, x3, [sp, #112] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [x1, #32] + ldp x4, x3, [sp, #128] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + csetm x3, cc // cc = lo, ul, last + mov x4, #0xffffffff // #4294967295 + and x4, x4, x3 + adds x2, x5, x4 + eor x4, x4, x3 + adcs x11, x6, x4 + mov x4, #0xfffffffffffffffe // #-2 + and x4, x4, x3 + adcs x4, x7, x4 + adcs x12, x8, x3 + adcs x13, x9, x3 + adc x3, x10, x3 + stp x2, x11, [x0] + stp x4, x12, [x0, #16] + stp x13, x3, [x0, #32] + ldp x5, x6, [sp, #192] + subs x5, x5, x2 + sbcs x6, x6, x11 + ldp x7, x8, [sp, #208] + sbcs x7, x7, x4 + sbcs x8, x8, x12 + ldp x9, x10, [sp, #224] + sbcs x9, x9, x13 + sbcs x10, x10, x3 + csetm x3, cc // cc = lo, ul, last + mov x4, #0xffffffff // #4294967295 + and x4, x4, x3 + adds x5, x5, x4 + eor x4, x4, x3 + adcs x6, x6, x4 + mov x4, #0xfffffffffffffffe // #-2 + and x4, x4, x3 + adcs x7, x7, x4 + adcs x8, x8, x3 + adcs x9, x9, x3 + adc x10, x10, x3 + stp x5, x6, [sp, #192] + stp x7, x8, [sp, #208] + stp x9, x10, [sp, #224] + ldr q3, [sp, #144] + ldr q25, [sp, #288] + ldp x13, x23, [sp, #288] + ldp x3, x21, [sp, #144] + rev64 v23.4s, v25.4s + uzp1 v17.4s, v25.4s, v3.4s + umulh x15, x3, x13 + mul v6.4s, v23.4s, v3.4s + uzp1 v3.4s, v3.4s, v3.4s + ldr q27, [sp, #320] + ldp x8, x24, [sp, #160] + subs x6, x3, x21 + ldr q0, [sp, #176] + movi v23.2d, #0xffffffff + csetm x10, cc // cc = lo, ul, last + umulh x19, x21, x23 + rev64 v4.4s, v27.4s + uzp2 v25.4s, v27.4s, v27.4s + cneg x4, x6, cc // cc = lo, ul, last + subs x7, x23, x13 + xtn v22.2s, v0.2d + xtn v24.2s, v27.2d + cneg x20, x7, cc // cc = lo, ul, last + ldp x6, x14, [sp, #304] + mul v27.4s, v4.4s, v0.4s + uaddlp v20.2d, v6.4s + cinv x5, x10, cc // cc = lo, ul, last + mul x16, x4, x20 + uzp2 v6.4s, v0.4s, v0.4s + umull v21.2d, v22.2s, v25.2s + shl v0.2d, v20.2d, #32 + umlal v0.2d, v3.2s, v17.2s + mul x22, x8, x6 + umull v1.2d, v6.2s, v25.2s + subs x12, x3, x8 + umull v20.2d, v22.2s, v24.2s + cneg x17, x12, cc // cc = lo, ul, last + umulh x9, x8, x6 + mov x12, v0.d[1] + eor x11, x16, x5 + mov x7, v0.d[0] + csetm x10, cc // cc = lo, ul, last + usra v21.2d, v20.2d, #32 + adds x15, x15, x12 + adcs x12, x19, x22 + umulh x20, x4, x20 + adc x19, x9, xzr + usra v1.2d, v21.2d, #32 + adds x22, x15, x7 + and v26.16b, v21.16b, v23.16b + adcs x16, x12, x15 + uaddlp v25.2d, v27.4s + adcs x9, x19, x12 + umlal v26.2d, v6.2s, v24.2s + adc x4, x19, xzr + adds x16, x16, x7 + shl v27.2d, v25.2d, #32 + adcs x9, x9, x15 + adcs x4, x4, x12 + eor x12, x20, x5 + adc x15, x19, xzr + subs x20, x6, x13 + cneg x20, x20, cc // cc = lo, ul, last + cinv x10, x10, cc // cc = lo, ul, last + cmn x5, #0x1 + mul x19, x17, x20 + adcs x11, x22, x11 + adcs x12, x16, x12 + adcs x9, x9, x5 + umulh x17, x17, x20 + adcs x22, x4, x5 + adc x5, x15, x5 + subs x16, x21, x8 + cneg x20, x16, cc // cc = lo, ul, last + eor x19, x19, x10 + csetm x4, cc // cc = lo, ul, last + subs x16, x6, x23 + cneg x16, x16, cc // cc = lo, ul, last + umlal v27.2d, v22.2s, v24.2s + mul x15, x20, x16 + cinv x4, x4, cc // cc = lo, ul, last + cmn x10, #0x1 + usra v1.2d, v26.2d, #32 + adcs x19, x12, x19 + eor x17, x17, x10 + adcs x9, x9, x17 + adcs x22, x22, x10 + lsl x12, x7, #32 + umulh x20, x20, x16 + eor x16, x15, x4 + ldp x15, x17, [sp, #320] + add x2, x12, x7 + adc x7, x5, x10 + ldp x5, x10, [sp, #176] + lsr x1, x2, #32 + eor x12, x20, x4 + subs x1, x1, x2 + sbc x20, x2, xzr + cmn x4, #0x1 + adcs x9, x9, x16 + extr x1, x20, x1, #32 + lsr x20, x20, #32 + adcs x22, x22, x12 + adc x16, x7, x4 + adds x12, x20, x2 + umulh x7, x24, x14 + adc x4, xzr, xzr + subs x1, x11, x1 + sbcs x20, x19, x12 + sbcs x12, x9, x4 + lsl x9, x1, #32 + add x1, x9, x1 + sbcs x9, x22, xzr + mul x22, x24, x14 + sbcs x16, x16, xzr + lsr x4, x1, #32 + sbc x19, x2, xzr + subs x4, x4, x1 + sbc x11, x1, xzr + extr x2, x11, x4, #32 + lsr x4, x11, #32 + adds x4, x4, x1 + adc x11, xzr, xzr + subs x2, x20, x2 + sbcs x4, x12, x4 + sbcs x20, x9, x11 + lsl x12, x2, #32 + add x2, x12, x2 + sbcs x9, x16, xzr + lsr x11, x2, #32 + sbcs x19, x19, xzr + sbc x1, x1, xzr + subs x16, x11, x2 + sbc x12, x2, xzr + extr x16, x12, x16, #32 + lsr x12, x12, #32 + adds x11, x12, x2 + adc x12, xzr, xzr + subs x16, x4, x16 + mov x4, v27.d[0] + sbcs x11, x20, x11 + sbcs x20, x9, x12 + stp x16, x11, [sp, #144] + sbcs x11, x19, xzr + sbcs x9, x1, xzr + stp x20, x11, [sp, #160] + mov x1, v1.d[0] + sbc x20, x2, xzr + subs x12, x24, x5 + mov x11, v27.d[1] + cneg x16, x12, cc // cc = lo, ul, last + csetm x2, cc // cc = lo, ul, last + subs x19, x15, x14 + mov x12, v1.d[1] + cinv x2, x2, cc // cc = lo, ul, last + cneg x19, x19, cc // cc = lo, ul, last + stp x9, x20, [sp, #176] + mul x9, x16, x19 + adds x4, x7, x4 + adcs x11, x1, x11 + adc x1, x12, xzr + adds x20, x4, x22 + umulh x19, x16, x19 + adcs x7, x11, x4 + eor x16, x9, x2 + adcs x9, x1, x11 + adc x12, x1, xzr + adds x7, x7, x22 + adcs x4, x9, x4 + adcs x9, x12, x11 + adc x12, x1, xzr + cmn x2, #0x1 + eor x1, x19, x2 + adcs x11, x20, x16 + adcs x19, x7, x1 + adcs x1, x4, x2 + adcs x20, x9, x2 + adc x2, x12, x2 + subs x12, x24, x10 + cneg x16, x12, cc // cc = lo, ul, last + csetm x12, cc // cc = lo, ul, last + subs x9, x17, x14 + cinv x12, x12, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x3, x24, x3 + sbcs x21, x5, x21 + mul x24, x16, x9 + sbcs x4, x10, x8 + ngc x8, xzr + subs x10, x5, x10 + eor x5, x24, x12 + csetm x7, cc // cc = lo, ul, last + cneg x24, x10, cc // cc = lo, ul, last + subs x10, x17, x15 + cinv x7, x7, cc // cc = lo, ul, last + cneg x10, x10, cc // cc = lo, ul, last + subs x14, x13, x14 + sbcs x15, x23, x15 + eor x13, x21, x8 + mul x23, x24, x10 + sbcs x17, x6, x17 + eor x6, x3, x8 + ngc x21, xzr + umulh x9, x16, x9 + cmn x8, #0x1 + eor x3, x23, x7 + adcs x23, x6, xzr + adcs x13, x13, xzr + eor x16, x4, x8 + adc x16, x16, xzr + eor x4, x17, x21 + umulh x17, x24, x10 + cmn x21, #0x1 + eor x24, x14, x21 + eor x6, x15, x21 + adcs x15, x24, xzr + adcs x14, x6, xzr + adc x6, x4, xzr + cmn x12, #0x1 + eor x4, x9, x12 + adcs x19, x19, x5 + umulh x5, x23, x15 + adcs x1, x1, x4 + adcs x10, x20, x12 + eor x4, x17, x7 + ldp x20, x9, [sp, #144] + adc x2, x2, x12 + cmn x7, #0x1 + adcs x12, x1, x3 + ldp x17, x24, [sp, #160] + mul x1, x16, x6 + adcs x3, x10, x4 + adc x2, x2, x7 + ldp x7, x4, [sp, #176] + adds x20, x22, x20 + mul x10, x13, x14 + adcs x11, x11, x9 + eor x9, x8, x21 + adcs x21, x19, x17 + stp x20, x11, [sp, #144] + adcs x12, x12, x24 + mul x8, x23, x15 + adcs x3, x3, x7 + stp x21, x12, [sp, #160] + adcs x12, x2, x4 + adc x19, xzr, xzr + subs x21, x23, x16 + umulh x2, x16, x6 + stp x3, x12, [sp, #176] + cneg x3, x21, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + umulh x11, x13, x14 + subs x21, x13, x16 + eor x7, x8, x9 + cneg x17, x21, cc // cc = lo, ul, last + csetm x16, cc // cc = lo, ul, last + subs x21, x6, x15 + cneg x22, x21, cc // cc = lo, ul, last + cinv x21, x24, cc // cc = lo, ul, last + subs x20, x23, x13 + umulh x12, x3, x22 + cneg x23, x20, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + subs x20, x14, x15 + cinv x24, x24, cc // cc = lo, ul, last + mul x22, x3, x22 + cneg x3, x20, cc // cc = lo, ul, last + subs x13, x6, x14 + cneg x20, x13, cc // cc = lo, ul, last + cinv x15, x16, cc // cc = lo, ul, last + adds x13, x5, x10 + mul x4, x23, x3 + adcs x11, x11, x1 + adc x14, x2, xzr + adds x5, x13, x8 + adcs x16, x11, x13 + umulh x23, x23, x3 + adcs x3, x14, x11 + adc x1, x14, xzr + adds x10, x16, x8 + adcs x6, x3, x13 + adcs x8, x1, x11 + umulh x13, x17, x20 + eor x1, x4, x24 + adc x4, x14, xzr + cmn x24, #0x1 + adcs x1, x5, x1 + eor x16, x23, x24 + eor x11, x1, x9 + adcs x23, x10, x16 + eor x2, x22, x21 + adcs x3, x6, x24 + mul x14, x17, x20 + eor x17, x13, x15 + adcs x13, x8, x24 + adc x8, x4, x24 + cmn x21, #0x1 + adcs x6, x23, x2 + mov x16, #0xfffffffffffffffe // #-2 + eor x20, x12, x21 + adcs x20, x3, x20 + eor x23, x14, x15 + adcs x2, x13, x21 + adc x8, x8, x21 + cmn x15, #0x1 + ldp x5, x4, [sp, #144] + ldp x21, x12, [sp, #160] + adcs x22, x20, x23 + eor x23, x22, x9 + adcs x17, x2, x17 + adc x22, x8, x15 + cmn x9, #0x1 + adcs x15, x7, x5 + ldp x10, x14, [sp, #176] + eor x1, x6, x9 + lsl x2, x15, #32 + adcs x8, x11, x4 + adcs x13, x1, x21 + eor x1, x22, x9 + adcs x24, x23, x12 + eor x11, x17, x9 + adcs x23, x11, x10 + adcs x7, x1, x14 + adcs x17, x9, x19 + adcs x20, x9, xzr + add x1, x2, x15 + lsr x3, x1, #32 + adcs x11, x9, xzr + adc x9, x9, xzr + subs x3, x3, x1 + sbc x6, x1, xzr + adds x24, x24, x5 + adcs x4, x23, x4 + extr x3, x6, x3, #32 + lsr x6, x6, #32 + adcs x21, x7, x21 + adcs x15, x17, x12 + adcs x7, x20, x10 + adcs x20, x11, x14 + mov x14, #0xffffffff // #4294967295 + adc x22, x9, x19 + adds x12, x6, x1 + adc x10, xzr, xzr + subs x3, x8, x3 + sbcs x12, x13, x12 + lsl x9, x3, #32 + add x3, x9, x3 + sbcs x10, x24, x10 + sbcs x24, x4, xzr + lsr x9, x3, #32 + sbcs x21, x21, xzr + sbc x1, x1, xzr + subs x9, x9, x3 + sbc x13, x3, xzr + extr x9, x13, x9, #32 + lsr x13, x13, #32 + adds x13, x13, x3 + adc x6, xzr, xzr + subs x12, x12, x9 + sbcs x17, x10, x13 + lsl x2, x12, #32 + sbcs x10, x24, x6 + add x9, x2, x12 + sbcs x6, x21, xzr + lsr x5, x9, #32 + sbcs x21, x1, xzr + sbc x13, x3, xzr + subs x8, x5, x9 + sbc x19, x9, xzr + lsr x12, x19, #32 + extr x3, x19, x8, #32 + adds x8, x12, x9 + adc x1, xzr, xzr + subs x2, x17, x3 + sbcs x12, x10, x8 + sbcs x5, x6, x1 + sbcs x3, x21, xzr + sbcs x19, x13, xzr + sbc x24, x9, xzr + adds x23, x15, x3 + adcs x8, x7, x19 + adcs x11, x20, x24 + adc x9, x22, xzr + add x24, x9, #0x1 + lsl x7, x24, #32 + subs x21, x24, x7 + sbc x10, x7, xzr + adds x6, x2, x21 + adcs x7, x12, x10 + adcs x24, x5, x24 + adcs x13, x23, xzr + adcs x8, x8, xzr + adcs x15, x11, xzr + csetm x23, cc // cc = lo, ul, last + and x11, x16, x23 + and x20, x14, x23 + adds x22, x6, x20 + eor x3, x20, x23 + adcs x5, x7, x3 + adcs x14, x24, x11 + stp x22, x5, [sp, #144] + adcs x5, x13, x23 + adcs x21, x8, x23 + stp x14, x5, [sp, #160] + adc x12, x15, x23 + stp x21, x12, [sp, #176] + ldr q3, [sp, #240] + ldr q25, [x26, #96] + ldp x13, x23, [x26, #96] + ldp x3, x21, [sp, #240] + rev64 v23.4s, v25.4s + uzp1 v17.4s, v25.4s, v3.4s + umulh x15, x3, x13 + mul v6.4s, v23.4s, v3.4s + uzp1 v3.4s, v3.4s, v3.4s + ldr q27, [x26, #128] + ldp x8, x24, [sp, #256] + subs x6, x3, x21 + ldr q0, [sp, #272] + movi v23.2d, #0xffffffff + csetm x10, cc // cc = lo, ul, last + umulh x19, x21, x23 + rev64 v4.4s, v27.4s + uzp2 v25.4s, v27.4s, v27.4s + cneg x4, x6, cc // cc = lo, ul, last + subs x7, x23, x13 + xtn v22.2s, v0.2d + xtn v24.2s, v27.2d + cneg x20, x7, cc // cc = lo, ul, last + ldp x6, x14, [x26, #112] + mul v27.4s, v4.4s, v0.4s + uaddlp v20.2d, v6.4s + cinv x5, x10, cc // cc = lo, ul, last + mul x16, x4, x20 + uzp2 v6.4s, v0.4s, v0.4s + umull v21.2d, v22.2s, v25.2s + shl v0.2d, v20.2d, #32 + umlal v0.2d, v3.2s, v17.2s + mul x22, x8, x6 + umull v1.2d, v6.2s, v25.2s + subs x12, x3, x8 + umull v20.2d, v22.2s, v24.2s + cneg x17, x12, cc // cc = lo, ul, last + umulh x9, x8, x6 + mov x12, v0.d[1] + eor x11, x16, x5 + mov x7, v0.d[0] + csetm x10, cc // cc = lo, ul, last + usra v21.2d, v20.2d, #32 + adds x15, x15, x12 + adcs x12, x19, x22 + umulh x20, x4, x20 + adc x19, x9, xzr + usra v1.2d, v21.2d, #32 + adds x22, x15, x7 + and v26.16b, v21.16b, v23.16b + adcs x16, x12, x15 + uaddlp v25.2d, v27.4s + adcs x9, x19, x12 + umlal v26.2d, v6.2s, v24.2s + adc x4, x19, xzr + adds x16, x16, x7 + shl v27.2d, v25.2d, #32 + adcs x9, x9, x15 + adcs x4, x4, x12 + eor x12, x20, x5 + adc x15, x19, xzr + subs x20, x6, x13 + cneg x20, x20, cc // cc = lo, ul, last + cinv x10, x10, cc // cc = lo, ul, last + cmn x5, #0x1 + mul x19, x17, x20 + adcs x11, x22, x11 + adcs x12, x16, x12 + adcs x9, x9, x5 + umulh x17, x17, x20 + adcs x22, x4, x5 + adc x5, x15, x5 + subs x16, x21, x8 + cneg x20, x16, cc // cc = lo, ul, last + eor x19, x19, x10 + csetm x4, cc // cc = lo, ul, last + subs x16, x6, x23 + cneg x16, x16, cc // cc = lo, ul, last + umlal v27.2d, v22.2s, v24.2s + mul x15, x20, x16 + cinv x4, x4, cc // cc = lo, ul, last + cmn x10, #0x1 + usra v1.2d, v26.2d, #32 + adcs x19, x12, x19 + eor x17, x17, x10 + adcs x9, x9, x17 + adcs x22, x22, x10 + lsl x12, x7, #32 + umulh x20, x20, x16 + eor x16, x15, x4 + ldp x15, x17, [x26, #128] + add x2, x12, x7 + adc x7, x5, x10 + ldp x5, x10, [sp, #272] + lsr x1, x2, #32 + eor x12, x20, x4 + subs x1, x1, x2 + sbc x20, x2, xzr + cmn x4, #0x1 + adcs x9, x9, x16 + extr x1, x20, x1, #32 + lsr x20, x20, #32 + adcs x22, x22, x12 + adc x16, x7, x4 + adds x12, x20, x2 + umulh x7, x24, x14 + adc x4, xzr, xzr + subs x1, x11, x1 + sbcs x20, x19, x12 + sbcs x12, x9, x4 + lsl x9, x1, #32 + add x1, x9, x1 + sbcs x9, x22, xzr + mul x22, x24, x14 + sbcs x16, x16, xzr + lsr x4, x1, #32 + sbc x19, x2, xzr + subs x4, x4, x1 + sbc x11, x1, xzr + extr x2, x11, x4, #32 + lsr x4, x11, #32 + adds x4, x4, x1 + adc x11, xzr, xzr + subs x2, x20, x2 + sbcs x4, x12, x4 + sbcs x20, x9, x11 + lsl x12, x2, #32 + add x2, x12, x2 + sbcs x9, x16, xzr + lsr x11, x2, #32 + sbcs x19, x19, xzr + sbc x1, x1, xzr + subs x16, x11, x2 + sbc x12, x2, xzr + extr x16, x12, x16, #32 + lsr x12, x12, #32 + adds x11, x12, x2 + adc x12, xzr, xzr + subs x16, x4, x16 + mov x4, v27.d[0] + sbcs x11, x20, x11 + sbcs x20, x9, x12 + stp x16, x11, [sp, #240] + sbcs x11, x19, xzr + sbcs x9, x1, xzr + stp x20, x11, [sp, #256] + mov x1, v1.d[0] + sbc x20, x2, xzr + subs x12, x24, x5 + mov x11, v27.d[1] + cneg x16, x12, cc // cc = lo, ul, last + csetm x2, cc // cc = lo, ul, last + subs x19, x15, x14 + mov x12, v1.d[1] + cinv x2, x2, cc // cc = lo, ul, last + cneg x19, x19, cc // cc = lo, ul, last + stp x9, x20, [sp, #272] + mul x9, x16, x19 + adds x4, x7, x4 + adcs x11, x1, x11 + adc x1, x12, xzr + adds x20, x4, x22 + umulh x19, x16, x19 + adcs x7, x11, x4 + eor x16, x9, x2 + adcs x9, x1, x11 + adc x12, x1, xzr + adds x7, x7, x22 + adcs x4, x9, x4 + adcs x9, x12, x11 + adc x12, x1, xzr + cmn x2, #0x1 + eor x1, x19, x2 + adcs x11, x20, x16 + adcs x19, x7, x1 + adcs x1, x4, x2 + adcs x20, x9, x2 + adc x2, x12, x2 + subs x12, x24, x10 + cneg x16, x12, cc // cc = lo, ul, last + csetm x12, cc // cc = lo, ul, last + subs x9, x17, x14 + cinv x12, x12, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x3, x24, x3 + sbcs x21, x5, x21 + mul x24, x16, x9 + sbcs x4, x10, x8 + ngc x8, xzr + subs x10, x5, x10 + eor x5, x24, x12 + csetm x7, cc // cc = lo, ul, last + cneg x24, x10, cc // cc = lo, ul, last + subs x10, x17, x15 + cinv x7, x7, cc // cc = lo, ul, last + cneg x10, x10, cc // cc = lo, ul, last + subs x14, x13, x14 + sbcs x15, x23, x15 + eor x13, x21, x8 + mul x23, x24, x10 + sbcs x17, x6, x17 + eor x6, x3, x8 + ngc x21, xzr + umulh x9, x16, x9 + cmn x8, #0x1 + eor x3, x23, x7 + adcs x23, x6, xzr + adcs x13, x13, xzr + eor x16, x4, x8 + adc x16, x16, xzr + eor x4, x17, x21 + umulh x17, x24, x10 + cmn x21, #0x1 + eor x24, x14, x21 + eor x6, x15, x21 + adcs x15, x24, xzr + adcs x14, x6, xzr + adc x6, x4, xzr + cmn x12, #0x1 + eor x4, x9, x12 + adcs x19, x19, x5 + umulh x5, x23, x15 + adcs x1, x1, x4 + adcs x10, x20, x12 + eor x4, x17, x7 + ldp x20, x9, [sp, #240] + adc x2, x2, x12 + cmn x7, #0x1 + adcs x12, x1, x3 + ldp x17, x24, [sp, #256] + mul x1, x16, x6 + adcs x3, x10, x4 + adc x2, x2, x7 + ldp x7, x4, [sp, #272] + adds x20, x22, x20 + mul x10, x13, x14 + adcs x11, x11, x9 + eor x9, x8, x21 + adcs x21, x19, x17 + stp x20, x11, [sp, #240] + adcs x12, x12, x24 + mul x8, x23, x15 + adcs x3, x3, x7 + stp x21, x12, [sp, #256] + adcs x12, x2, x4 + adc x19, xzr, xzr + subs x21, x23, x16 + umulh x2, x16, x6 + stp x3, x12, [sp, #272] + cneg x3, x21, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + umulh x11, x13, x14 + subs x21, x13, x16 + eor x7, x8, x9 + cneg x17, x21, cc // cc = lo, ul, last + csetm x16, cc // cc = lo, ul, last + subs x21, x6, x15 + cneg x22, x21, cc // cc = lo, ul, last + cinv x21, x24, cc // cc = lo, ul, last + subs x20, x23, x13 + umulh x12, x3, x22 + cneg x23, x20, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + subs x20, x14, x15 + cinv x24, x24, cc // cc = lo, ul, last + mul x22, x3, x22 + cneg x3, x20, cc // cc = lo, ul, last + subs x13, x6, x14 + cneg x20, x13, cc // cc = lo, ul, last + cinv x15, x16, cc // cc = lo, ul, last + adds x13, x5, x10 + mul x4, x23, x3 + adcs x11, x11, x1 + adc x14, x2, xzr + adds x5, x13, x8 + adcs x16, x11, x13 + umulh x23, x23, x3 + adcs x3, x14, x11 + adc x1, x14, xzr + adds x10, x16, x8 + adcs x6, x3, x13 + adcs x8, x1, x11 + umulh x13, x17, x20 + eor x1, x4, x24 + adc x4, x14, xzr + cmn x24, #0x1 + adcs x1, x5, x1 + eor x16, x23, x24 + eor x11, x1, x9 + adcs x23, x10, x16 + eor x2, x22, x21 + adcs x3, x6, x24 + mul x14, x17, x20 + eor x17, x13, x15 + adcs x13, x8, x24 + adc x8, x4, x24 + cmn x21, #0x1 + adcs x6, x23, x2 + mov x16, #0xfffffffffffffffe // #-2 + eor x20, x12, x21 + adcs x20, x3, x20 + eor x23, x14, x15 + adcs x2, x13, x21 + adc x8, x8, x21 + cmn x15, #0x1 + ldp x5, x4, [sp, #240] + ldp x21, x12, [sp, #256] + adcs x22, x20, x23 + eor x23, x22, x9 + adcs x17, x2, x17 + adc x22, x8, x15 + cmn x9, #0x1 + adcs x15, x7, x5 + ldp x10, x14, [sp, #272] + eor x1, x6, x9 + lsl x2, x15, #32 + adcs x8, x11, x4 + adcs x13, x1, x21 + eor x1, x22, x9 + adcs x24, x23, x12 + eor x11, x17, x9 + adcs x23, x11, x10 + adcs x7, x1, x14 + adcs x17, x9, x19 + adcs x20, x9, xzr + add x1, x2, x15 + lsr x3, x1, #32 + adcs x11, x9, xzr + adc x9, x9, xzr + subs x3, x3, x1 + sbc x6, x1, xzr + adds x24, x24, x5 + adcs x4, x23, x4 + extr x3, x6, x3, #32 + lsr x6, x6, #32 + adcs x21, x7, x21 + adcs x15, x17, x12 + adcs x7, x20, x10 + adcs x20, x11, x14 + mov x14, #0xffffffff // #4294967295 + adc x22, x9, x19 + adds x12, x6, x1 + adc x10, xzr, xzr + subs x3, x8, x3 + sbcs x12, x13, x12 + lsl x9, x3, #32 + add x3, x9, x3 + sbcs x10, x24, x10 + sbcs x24, x4, xzr + lsr x9, x3, #32 + sbcs x21, x21, xzr + sbc x1, x1, xzr + subs x9, x9, x3 + sbc x13, x3, xzr + extr x9, x13, x9, #32 + lsr x13, x13, #32 + adds x13, x13, x3 + adc x6, xzr, xzr + subs x12, x12, x9 + sbcs x17, x10, x13 + lsl x2, x12, #32 + sbcs x10, x24, x6 + add x9, x2, x12 + sbcs x6, x21, xzr + lsr x5, x9, #32 + sbcs x21, x1, xzr + sbc x13, x3, xzr + subs x8, x5, x9 + sbc x19, x9, xzr + lsr x12, x19, #32 + extr x3, x19, x8, #32 + adds x8, x12, x9 + adc x1, xzr, xzr + subs x2, x17, x3 + sbcs x12, x10, x8 + sbcs x5, x6, x1 + sbcs x3, x21, xzr + sbcs x19, x13, xzr + sbc x24, x9, xzr + adds x23, x15, x3 + adcs x8, x7, x19 + adcs x11, x20, x24 + adc x9, x22, xzr + add x24, x9, #0x1 + lsl x7, x24, #32 + subs x21, x24, x7 + sbc x10, x7, xzr + adds x6, x2, x21 + adcs x7, x12, x10 + adcs x24, x5, x24 + adcs x13, x23, xzr + adcs x8, x8, xzr + adcs x15, x11, xzr + csetm x23, cc // cc = lo, ul, last + and x11, x16, x23 + and x20, x14, x23 + adds x22, x6, x20 + eor x3, x20, x23 + adcs x5, x7, x3 + adcs x14, x24, x11 + stp x22, x5, [sp, #240] + adcs x5, x13, x23 + adcs x21, x8, x23 + stp x14, x5, [sp, #256] + adc x12, x15, x23 + stp x21, x12, [sp, #272] + ldp x2, x27, [sp, #0x150] + ldr q3, [sp, #48] + ldr q25, [sp, #192] + ldp x13, x23, [sp, #192] + ldp x3, x21, [sp, #48] + rev64 v23.4s, v25.4s + uzp1 v17.4s, v25.4s, v3.4s + umulh x15, x3, x13 + mul v6.4s, v23.4s, v3.4s + uzp1 v3.4s, v3.4s, v3.4s + ldr q27, [sp, #224] + ldp x8, x24, [sp, #64] + subs x6, x3, x21 + ldr q0, [sp, #80] + movi v23.2d, #0xffffffff + csetm x10, cc // cc = lo, ul, last + umulh x19, x21, x23 + rev64 v4.4s, v27.4s + uzp2 v25.4s, v27.4s, v27.4s + cneg x4, x6, cc // cc = lo, ul, last + subs x7, x23, x13 + xtn v22.2s, v0.2d + xtn v24.2s, v27.2d + cneg x20, x7, cc // cc = lo, ul, last + ldp x6, x14, [sp, #208] + mul v27.4s, v4.4s, v0.4s + uaddlp v20.2d, v6.4s + cinv x5, x10, cc // cc = lo, ul, last + mul x16, x4, x20 + uzp2 v6.4s, v0.4s, v0.4s + umull v21.2d, v22.2s, v25.2s + shl v0.2d, v20.2d, #32 + umlal v0.2d, v3.2s, v17.2s + mul x22, x8, x6 + umull v1.2d, v6.2s, v25.2s + subs x12, x3, x8 + umull v20.2d, v22.2s, v24.2s + cneg x17, x12, cc // cc = lo, ul, last + umulh x9, x8, x6 + mov x12, v0.d[1] + eor x11, x16, x5 + mov x7, v0.d[0] + csetm x10, cc // cc = lo, ul, last + usra v21.2d, v20.2d, #32 + adds x15, x15, x12 + adcs x12, x19, x22 + umulh x20, x4, x20 + adc x19, x9, xzr + usra v1.2d, v21.2d, #32 + adds x22, x15, x7 + and v26.16b, v21.16b, v23.16b + adcs x16, x12, x15 + uaddlp v25.2d, v27.4s + adcs x9, x19, x12 + umlal v26.2d, v6.2s, v24.2s + adc x4, x19, xzr + adds x16, x16, x7 + shl v27.2d, v25.2d, #32 + adcs x9, x9, x15 + adcs x4, x4, x12 + eor x12, x20, x5 + adc x15, x19, xzr + subs x20, x6, x13 + cneg x20, x20, cc // cc = lo, ul, last + cinv x10, x10, cc // cc = lo, ul, last + cmn x5, #0x1 + mul x19, x17, x20 + adcs x11, x22, x11 + adcs x12, x16, x12 + adcs x9, x9, x5 + umulh x17, x17, x20 + adcs x22, x4, x5 + adc x5, x15, x5 + subs x16, x21, x8 + cneg x20, x16, cc // cc = lo, ul, last + eor x19, x19, x10 + csetm x4, cc // cc = lo, ul, last + subs x16, x6, x23 + cneg x16, x16, cc // cc = lo, ul, last + umlal v27.2d, v22.2s, v24.2s + mul x15, x20, x16 + cinv x4, x4, cc // cc = lo, ul, last + cmn x10, #0x1 + usra v1.2d, v26.2d, #32 + adcs x19, x12, x19 + eor x17, x17, x10 + adcs x9, x9, x17 + adcs x22, x22, x10 + lsl x12, x7, #32 + umulh x20, x20, x16 + eor x16, x15, x4 + ldp x15, x17, [sp, #224] + add x2, x12, x7 + adc x7, x5, x10 + ldp x5, x10, [sp, #80] + lsr x1, x2, #32 + eor x12, x20, x4 + subs x1, x1, x2 + sbc x20, x2, xzr + cmn x4, #0x1 + adcs x9, x9, x16 + extr x1, x20, x1, #32 + lsr x20, x20, #32 + adcs x22, x22, x12 + adc x16, x7, x4 + adds x12, x20, x2 + umulh x7, x24, x14 + adc x4, xzr, xzr + subs x1, x11, x1 + sbcs x20, x19, x12 + sbcs x12, x9, x4 + lsl x9, x1, #32 + add x1, x9, x1 + sbcs x9, x22, xzr + mul x22, x24, x14 + sbcs x16, x16, xzr + lsr x4, x1, #32 + sbc x19, x2, xzr + subs x4, x4, x1 + sbc x11, x1, xzr + extr x2, x11, x4, #32 + lsr x4, x11, #32 + adds x4, x4, x1 + adc x11, xzr, xzr + subs x2, x20, x2 + sbcs x4, x12, x4 + sbcs x20, x9, x11 + lsl x12, x2, #32 + add x2, x12, x2 + sbcs x9, x16, xzr + lsr x11, x2, #32 + sbcs x19, x19, xzr + sbc x1, x1, xzr + subs x16, x11, x2 + sbc x12, x2, xzr + extr x16, x12, x16, #32 + lsr x12, x12, #32 + adds x11, x12, x2 + adc x12, xzr, xzr + subs x16, x4, x16 + mov x4, v27.d[0] + sbcs x11, x20, x11 + sbcs x20, x9, x12 + stp x16, x11, [sp, #192] + sbcs x11, x19, xzr + sbcs x9, x1, xzr + stp x20, x11, [sp, #208] + mov x1, v1.d[0] + sbc x20, x2, xzr + subs x12, x24, x5 + mov x11, v27.d[1] + cneg x16, x12, cc // cc = lo, ul, last + csetm x2, cc // cc = lo, ul, last + subs x19, x15, x14 + mov x12, v1.d[1] + cinv x2, x2, cc // cc = lo, ul, last + cneg x19, x19, cc // cc = lo, ul, last + stp x9, x20, [sp, #224] + mul x9, x16, x19 + adds x4, x7, x4 + adcs x11, x1, x11 + adc x1, x12, xzr + adds x20, x4, x22 + umulh x19, x16, x19 + adcs x7, x11, x4 + eor x16, x9, x2 + adcs x9, x1, x11 + adc x12, x1, xzr + adds x7, x7, x22 + adcs x4, x9, x4 + adcs x9, x12, x11 + adc x12, x1, xzr + cmn x2, #0x1 + eor x1, x19, x2 + adcs x11, x20, x16 + adcs x19, x7, x1 + adcs x1, x4, x2 + adcs x20, x9, x2 + adc x2, x12, x2 + subs x12, x24, x10 + cneg x16, x12, cc // cc = lo, ul, last + csetm x12, cc // cc = lo, ul, last + subs x9, x17, x14 + cinv x12, x12, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x3, x24, x3 + sbcs x21, x5, x21 + mul x24, x16, x9 + sbcs x4, x10, x8 + ngc x8, xzr + subs x10, x5, x10 + eor x5, x24, x12 + csetm x7, cc // cc = lo, ul, last + cneg x24, x10, cc // cc = lo, ul, last + subs x10, x17, x15 + cinv x7, x7, cc // cc = lo, ul, last + cneg x10, x10, cc // cc = lo, ul, last + subs x14, x13, x14 + sbcs x15, x23, x15 + eor x13, x21, x8 + mul x23, x24, x10 + sbcs x17, x6, x17 + eor x6, x3, x8 + ngc x21, xzr + umulh x9, x16, x9 + cmn x8, #0x1 + eor x3, x23, x7 + adcs x23, x6, xzr + adcs x13, x13, xzr + eor x16, x4, x8 + adc x16, x16, xzr + eor x4, x17, x21 + umulh x17, x24, x10 + cmn x21, #0x1 + eor x24, x14, x21 + eor x6, x15, x21 + adcs x15, x24, xzr + adcs x14, x6, xzr + adc x6, x4, xzr + cmn x12, #0x1 + eor x4, x9, x12 + adcs x19, x19, x5 + umulh x5, x23, x15 + adcs x1, x1, x4 + adcs x10, x20, x12 + eor x4, x17, x7 + ldp x20, x9, [sp, #192] + adc x2, x2, x12 + cmn x7, #0x1 + adcs x12, x1, x3 + ldp x17, x24, [sp, #208] + mul x1, x16, x6 + adcs x3, x10, x4 + adc x2, x2, x7 + ldp x7, x4, [sp, #224] + adds x20, x22, x20 + mul x10, x13, x14 + adcs x11, x11, x9 + eor x9, x8, x21 + adcs x21, x19, x17 + stp x20, x11, [sp, #192] + adcs x12, x12, x24 + mul x8, x23, x15 + adcs x3, x3, x7 + stp x21, x12, [sp, #208] + adcs x12, x2, x4 + adc x19, xzr, xzr + subs x21, x23, x16 + umulh x2, x16, x6 + stp x3, x12, [sp, #224] + cneg x3, x21, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + umulh x11, x13, x14 + subs x21, x13, x16 + eor x7, x8, x9 + cneg x17, x21, cc // cc = lo, ul, last + csetm x16, cc // cc = lo, ul, last + subs x21, x6, x15 + cneg x22, x21, cc // cc = lo, ul, last + cinv x21, x24, cc // cc = lo, ul, last + subs x20, x23, x13 + umulh x12, x3, x22 + cneg x23, x20, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + subs x20, x14, x15 + cinv x24, x24, cc // cc = lo, ul, last + mul x22, x3, x22 + cneg x3, x20, cc // cc = lo, ul, last + subs x13, x6, x14 + cneg x20, x13, cc // cc = lo, ul, last + cinv x15, x16, cc // cc = lo, ul, last + adds x13, x5, x10 + mul x4, x23, x3 + adcs x11, x11, x1 + adc x14, x2, xzr + adds x5, x13, x8 + adcs x16, x11, x13 + umulh x23, x23, x3 + adcs x3, x14, x11 + adc x1, x14, xzr + adds x10, x16, x8 + adcs x6, x3, x13 + adcs x8, x1, x11 + umulh x13, x17, x20 + eor x1, x4, x24 + adc x4, x14, xzr + cmn x24, #0x1 + adcs x1, x5, x1 + eor x16, x23, x24 + eor x11, x1, x9 + adcs x23, x10, x16 + eor x2, x22, x21 + adcs x3, x6, x24 + mul x14, x17, x20 + eor x17, x13, x15 + adcs x13, x8, x24 + adc x8, x4, x24 + cmn x21, #0x1 + adcs x6, x23, x2 + mov x16, #0xfffffffffffffffe // #-2 + eor x20, x12, x21 + adcs x20, x3, x20 + eor x23, x14, x15 + adcs x2, x13, x21 + adc x8, x8, x21 + cmn x15, #0x1 + ldp x5, x4, [sp, #192] + ldp x21, x12, [sp, #208] + adcs x22, x20, x23 + eor x23, x22, x9 + adcs x17, x2, x17 + adc x22, x8, x15 + cmn x9, #0x1 + adcs x15, x7, x5 + ldp x10, x14, [sp, #224] + eor x1, x6, x9 + lsl x2, x15, #32 + adcs x8, x11, x4 + adcs x13, x1, x21 + eor x1, x22, x9 + adcs x24, x23, x12 + eor x11, x17, x9 + adcs x23, x11, x10 + adcs x7, x1, x14 + adcs x17, x9, x19 + adcs x20, x9, xzr + add x1, x2, x15 + lsr x3, x1, #32 + adcs x11, x9, xzr + adc x9, x9, xzr + subs x3, x3, x1 + sbc x6, x1, xzr + adds x24, x24, x5 + adcs x4, x23, x4 + extr x3, x6, x3, #32 + lsr x6, x6, #32 + adcs x21, x7, x21 + adcs x15, x17, x12 + adcs x7, x20, x10 + adcs x20, x11, x14 + mov x14, #0xffffffff // #4294967295 + adc x22, x9, x19 + adds x12, x6, x1 + adc x10, xzr, xzr + subs x3, x8, x3 + sbcs x12, x13, x12 + lsl x9, x3, #32 + add x3, x9, x3 + sbcs x10, x24, x10 + sbcs x24, x4, xzr + lsr x9, x3, #32 + sbcs x21, x21, xzr + sbc x1, x1, xzr + subs x9, x9, x3 + sbc x13, x3, xzr + extr x9, x13, x9, #32 + lsr x13, x13, #32 + adds x13, x13, x3 + adc x6, xzr, xzr + subs x12, x12, x9 + sbcs x17, x10, x13 + lsl x2, x12, #32 + sbcs x10, x24, x6 + add x9, x2, x12 + sbcs x6, x21, xzr + lsr x5, x9, #32 + sbcs x21, x1, xzr + sbc x13, x3, xzr + subs x8, x5, x9 + sbc x19, x9, xzr + lsr x12, x19, #32 + extr x3, x19, x8, #32 + adds x8, x12, x9 + adc x1, xzr, xzr + subs x2, x17, x3 + sbcs x12, x10, x8 + sbcs x5, x6, x1 + sbcs x3, x21, xzr + sbcs x19, x13, xzr + sbc x24, x9, xzr + adds x23, x15, x3 + adcs x8, x7, x19 + adcs x11, x20, x24 + adc x9, x22, xzr + add x24, x9, #0x1 + lsl x7, x24, #32 + subs x21, x24, x7 + sbc x10, x7, xzr + adds x6, x2, x21 + adcs x7, x12, x10 + adcs x24, x5, x24 + adcs x13, x23, xzr + adcs x8, x8, xzr + adcs x15, x11, xzr + csetm x23, cc // cc = lo, ul, last + and x11, x16, x23 + and x20, x14, x23 + adds x2, x6, x20 + eor x3, x20, x23 + adcs x6, x7, x3 + adcs x7, x24, x11 + adcs x9, x13, x23 + adcs x10, x8, x23 + adc x11, x15, x23 + ldp x4, x3, [sp, #144] + subs x5, x2, x4 + sbcs x6, x6, x3 + ldp x4, x3, [sp, #160] + sbcs x7, x7, x4 + sbcs x8, x9, x3 + ldp x4, x3, [sp, #176] + sbcs x9, x10, x4 + sbcs x10, x11, x3 + csetm x3, cc // cc = lo, ul, last + mov x4, #0xffffffff // #4294967295 + and x4, x4, x3 + adds x19, x5, x4 + eor x4, x4, x3 + adcs x24, x6, x4 + mov x4, #0xfffffffffffffffe // #-2 + and x4, x4, x3 + adcs x7, x7, x4 + adcs x8, x8, x3 + adcs x9, x9, x3 + adc x10, x10, x3 + stp x7, x8, [sp, #208] + stp x9, x10, [sp, #224] + ldp x0, x1, [x25, #96] + ldp x2, x3, [x25, #112] + ldp x4, x5, [x25, #128] + orr x20, x0, x1 + orr x21, x2, x3 + orr x22, x4, x5 + orr x20, x20, x21 + orr x20, x20, x22 + cmp x20, xzr + cset x20, ne // ne = any + ldp x6, x7, [x26, #96] + ldp x8, x9, [x26, #112] + ldp x10, x11, [x26, #128] + orr x21, x6, x7 + orr x22, x8, x9 + orr x23, x10, x11 + orr x21, x21, x22 + orr x21, x21, x23 + cmp x21, xzr + cset x21, ne // ne = any + cmp x21, x20 + ldp x12, x13, [sp, #240] + csel x12, x0, x12, cc // cc = lo, ul, last + csel x13, x1, x13, cc // cc = lo, ul, last + csel x12, x6, x12, hi // hi = pmore + csel x13, x7, x13, hi // hi = pmore + ldp x14, x15, [sp, #256] + csel x14, x2, x14, cc // cc = lo, ul, last + csel x15, x3, x15, cc // cc = lo, ul, last + csel x14, x8, x14, hi // hi = pmore + csel x15, x9, x15, hi // hi = pmore + ldp x16, x17, [sp, #272] + csel x16, x4, x16, cc // cc = lo, ul, last + csel x17, x5, x17, cc // cc = lo, ul, last + csel x16, x10, x16, hi // hi = pmore + csel x17, x11, x17, hi // hi = pmore + ldp x20, x21, [x25] + ldp x0, x1, [sp] + csel x0, x20, x0, cc // cc = lo, ul, last + csel x1, x21, x1, cc // cc = lo, ul, last + ldp x20, x21, [x26] + csel x0, x20, x0, hi // hi = pmore + csel x1, x21, x1, hi // hi = pmore + ldp x20, x21, [x25, #16] + ldp x2, x3, [sp, #16] + csel x2, x20, x2, cc // cc = lo, ul, last + csel x3, x21, x3, cc // cc = lo, ul, last + ldp x20, x21, [x26, #16] + csel x2, x20, x2, hi // hi = pmore + csel x3, x21, x3, hi // hi = pmore + ldp x20, x21, [x25, #32] + ldp x4, x5, [sp, #32] + csel x4, x20, x4, cc // cc = lo, ul, last + csel x5, x21, x5, cc // cc = lo, ul, last + ldp x20, x21, [x26, #32] + csel x4, x20, x4, hi // hi = pmore + csel x5, x21, x5, hi // hi = pmore + ldp x20, x21, [x25, #48] + csel x6, x20, x19, cc // cc = lo, ul, last + csel x7, x21, x24, cc // cc = lo, ul, last + ldp x20, x21, [x26, #48] + csel x6, x20, x6, hi // hi = pmore + csel x7, x21, x7, hi // hi = pmore + ldp x20, x21, [x25, #64] + ldp x8, x9, [sp, #208] + csel x8, x20, x8, cc // cc = lo, ul, last + csel x9, x21, x9, cc // cc = lo, ul, last + ldp x20, x21, [x26, #64] + csel x8, x20, x8, hi // hi = pmore + csel x9, x21, x9, hi // hi = pmore + ldp x20, x21, [x25, #80] + ldp x10, x11, [sp, #224] + csel x10, x20, x10, cc // cc = lo, ul, last + csel x11, x21, x11, cc // cc = lo, ul, last + ldp x20, x21, [x26, #80] + csel x10, x20, x10, hi // hi = pmore + csel x11, x21, x11, hi // hi = pmore + stp x0, x1, [x27] + stp x2, x3, [x27, #16] + stp x4, x5, [x27, #32] + stp x6, x7, [x27, #48] + stp x8, x9, [x27, #64] + stp x10, x11, [x27, #80] + stp x12, x13, [x27, #96] + stp x14, x15, [x27, #112] + stp x16, x17, [x27, #128] + CFI_INC_SP(384) + CFI_POP1Z(x27) + CFI_POP2(x25,x26) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp384_montjscalarmul_p384_montjadd) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp384_montjscalarmul_p384_montjdouble) + +Lp384_montjscalarmul_p384_montjdouble: + CFI_START + CFI_DEC_SP(416) + stp x19, x20, [sp, #336] + stp x21, x22, [sp, #352] + stp x23, x24, [sp, #368] + stp x25, x26, [sp, #384] + stp x27, xzr, [sp, #400] + mov x25, x0 + mov x26, x1 + mov x0, sp + ldr q1, [x26, #96] + ldp x9, x2, [x26, #96] + ldr q0, [x26, #96] + ldp x4, x6, [x26, #112] + rev64 v21.4s, v1.4s + uzp2 v28.4s, v1.4s, v1.4s + umulh x7, x9, x2 + xtn v17.2s, v1.2d + mul v27.4s, v21.4s, v0.4s + ldr q20, [x26, #128] + xtn v30.2s, v0.2d + ldr q1, [x26, #128] + uzp2 v31.4s, v0.4s, v0.4s + ldp x5, x10, [x26, #128] + umulh x8, x9, x4 + uaddlp v3.2d, v27.4s + umull v16.2d, v30.2s, v17.2s + mul x16, x9, x4 + umull v27.2d, v30.2s, v28.2s + shrn v0.2s, v20.2d, #32 + xtn v7.2s, v20.2d + shl v20.2d, v3.2d, #32 + umull v3.2d, v31.2s, v28.2s + mul x3, x2, x4 + umlal v20.2d, v30.2s, v17.2s + umull v22.2d, v7.2s, v0.2s + usra v27.2d, v16.2d, #32 + umulh x11, x2, x4 + movi v21.2d, #0xffffffff + uzp2 v28.4s, v1.4s, v1.4s + adds x15, x16, x7 + and v5.16b, v27.16b, v21.16b + adcs x3, x3, x8 + usra v3.2d, v27.2d, #32 + dup v29.2d, x6 + adcs x16, x11, xzr + mov x14, v20.d[0] + umlal v5.2d, v31.2s, v17.2s + mul x8, x9, x2 + mov x7, v20.d[1] + shl v19.2d, v22.2d, #33 + xtn v25.2s, v29.2d + rev64 v31.4s, v1.4s + lsl x13, x14, #32 + uzp2 v6.4s, v29.4s, v29.4s + umlal v19.2d, v7.2s, v7.2s + usra v3.2d, v5.2d, #32 + adds x1, x8, x8 + umulh x8, x4, x4 + add x12, x13, x14 + mul v17.4s, v31.4s, v29.4s + xtn v4.2s, v1.2d + adcs x14, x15, x15 + lsr x13, x12, #32 + adcs x15, x3, x3 + umull v31.2d, v25.2s, v28.2s + adcs x11, x16, x16 + umull v21.2d, v25.2s, v4.2s + mov x17, v3.d[0] + umull v18.2d, v6.2s, v28.2s + adc x16, x8, xzr + uaddlp v16.2d, v17.4s + movi v1.2d, #0xffffffff + subs x13, x13, x12 + usra v31.2d, v21.2d, #32 + sbc x8, x12, xzr + adds x17, x17, x1 + mul x1, x4, x4 + shl v28.2d, v16.2d, #32 + mov x3, v3.d[1] + adcs x14, x7, x14 + extr x7, x8, x13, #32 + adcs x13, x3, x15 + and v3.16b, v31.16b, v1.16b + adcs x11, x1, x11 + lsr x1, x8, #32 + umlal v3.2d, v6.2s, v4.2s + usra v18.2d, v31.2d, #32 + adc x3, x16, xzr + adds x1, x1, x12 + umlal v28.2d, v25.2s, v4.2s + adc x16, xzr, xzr + subs x15, x17, x7 + sbcs x7, x14, x1 + lsl x1, x15, #32 + sbcs x16, x13, x16 + add x8, x1, x15 + usra v18.2d, v3.2d, #32 + sbcs x14, x11, xzr + lsr x1, x8, #32 + sbcs x17, x3, xzr + sbc x11, x12, xzr + subs x13, x1, x8 + umulh x12, x4, x10 + sbc x1, x8, xzr + extr x13, x1, x13, #32 + lsr x1, x1, #32 + adds x15, x1, x8 + adc x1, xzr, xzr + subs x7, x7, x13 + sbcs x13, x16, x15 + lsl x3, x7, #32 + umulh x16, x2, x5 + sbcs x15, x14, x1 + add x7, x3, x7 + sbcs x3, x17, xzr + lsr x1, x7, #32 + sbcs x14, x11, xzr + sbc x11, x8, xzr + subs x8, x1, x7 + sbc x1, x7, xzr + extr x8, x1, x8, #32 + lsr x1, x1, #32 + adds x1, x1, x7 + adc x17, xzr, xzr + subs x13, x13, x8 + umulh x8, x9, x6 + sbcs x1, x15, x1 + sbcs x15, x3, x17 + sbcs x3, x14, xzr + mul x17, x2, x5 + sbcs x11, x11, xzr + stp x13, x1, [x0] + sbc x14, x7, xzr + mul x7, x4, x10 + subs x1, x9, x2 + stp x15, x3, [x0, #16] + csetm x15, cc // cc = lo, ul, last + cneg x1, x1, cc // cc = lo, ul, last + stp x11, x14, [x0, #32] + mul x14, x9, x6 + adds x17, x8, x17 + adcs x7, x16, x7 + adc x13, x12, xzr + subs x12, x5, x6 + cneg x3, x12, cc // cc = lo, ul, last + cinv x16, x15, cc // cc = lo, ul, last + mul x8, x1, x3 + umulh x1, x1, x3 + eor x12, x8, x16 + adds x11, x17, x14 + adcs x3, x7, x17 + adcs x15, x13, x7 + adc x8, x13, xzr + adds x3, x3, x14 + adcs x15, x15, x17 + adcs x17, x8, x7 + eor x1, x1, x16 + adc x13, x13, xzr + subs x9, x9, x4 + csetm x8, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x4, x2, x4 + cneg x4, x4, cc // cc = lo, ul, last + csetm x7, cc // cc = lo, ul, last + subs x2, x10, x6 + cinv x8, x8, cc // cc = lo, ul, last + cneg x2, x2, cc // cc = lo, ul, last + cmn x16, #0x1 + adcs x11, x11, x12 + mul x12, x9, x2 + adcs x3, x3, x1 + adcs x15, x15, x16 + umulh x9, x9, x2 + adcs x17, x17, x16 + adc x13, x13, x16 + subs x1, x10, x5 + cinv x2, x7, cc // cc = lo, ul, last + cneg x1, x1, cc // cc = lo, ul, last + eor x9, x9, x8 + cmn x8, #0x1 + eor x7, x12, x8 + mul x12, x4, x1 + adcs x3, x3, x7 + adcs x7, x15, x9 + adcs x15, x17, x8 + ldp x9, x17, [x0, #16] + umulh x4, x4, x1 + adc x8, x13, x8 + cmn x2, #0x1 + eor x1, x12, x2 + adcs x1, x7, x1 + ldp x7, x16, [x0] + eor x12, x4, x2 + adcs x4, x15, x12 + ldp x15, x12, [x0, #32] + adc x8, x8, x2 + adds x13, x14, x14 + umulh x14, x5, x10 + adcs x2, x11, x11 + adcs x3, x3, x3 + adcs x1, x1, x1 + adcs x4, x4, x4 + adcs x11, x8, x8 + adc x8, xzr, xzr + adds x13, x13, x7 + adcs x2, x2, x16 + mul x16, x5, x10 + adcs x3, x3, x9 + adcs x1, x1, x17 + umulh x5, x5, x5 + lsl x9, x13, #32 + add x9, x9, x13 + adcs x4, x4, x15 + mov x13, v28.d[1] + adcs x15, x11, x12 + lsr x7, x9, #32 + adc x11, x8, xzr + subs x7, x7, x9 + umulh x10, x10, x10 + sbc x17, x9, xzr + extr x7, x17, x7, #32 + lsr x17, x17, #32 + adds x17, x17, x9 + adc x12, xzr, xzr + subs x8, x2, x7 + sbcs x17, x3, x17 + lsl x7, x8, #32 + sbcs x2, x1, x12 + add x3, x7, x8 + sbcs x12, x4, xzr + lsr x1, x3, #32 + sbcs x7, x15, xzr + sbc x15, x9, xzr + subs x1, x1, x3 + sbc x4, x3, xzr + lsr x9, x4, #32 + extr x8, x4, x1, #32 + adds x9, x9, x3 + adc x4, xzr, xzr + subs x1, x17, x8 + lsl x17, x1, #32 + sbcs x8, x2, x9 + sbcs x9, x12, x4 + add x17, x17, x1 + mov x1, v18.d[1] + lsr x2, x17, #32 + sbcs x7, x7, xzr + mov x12, v18.d[0] + sbcs x15, x15, xzr + sbc x3, x3, xzr + subs x4, x2, x17 + sbc x2, x17, xzr + adds x12, x13, x12 + adcs x16, x16, x1 + lsr x13, x2, #32 + extr x1, x2, x4, #32 + adc x2, x14, xzr + adds x4, x13, x17 + mul x13, x6, x6 + adc x14, xzr, xzr + subs x1, x8, x1 + sbcs x4, x9, x4 + mov x9, v28.d[0] + sbcs x7, x7, x14 + sbcs x8, x15, xzr + sbcs x3, x3, xzr + sbc x14, x17, xzr + adds x17, x9, x9 + adcs x12, x12, x12 + mov x15, v19.d[0] + adcs x9, x16, x16 + umulh x6, x6, x6 + adcs x16, x2, x2 + adc x2, xzr, xzr + adds x11, x11, x8 + adcs x3, x3, xzr + adcs x14, x14, xzr + adcs x8, xzr, xzr + adds x13, x1, x13 + mov x1, v19.d[1] + adcs x6, x4, x6 + mov x4, #0xffffffff // #4294967295 + adcs x15, x7, x15 + adcs x7, x11, x5 + adcs x1, x3, x1 + adcs x14, x14, x10 + adc x11, x8, xzr + adds x6, x6, x17 + adcs x8, x15, x12 + adcs x3, x7, x9 + adcs x15, x1, x16 + mov x16, #0xffffffff00000001 // #-4294967295 + adcs x14, x14, x2 + mov x2, #0x1 // #1 + adc x17, x11, xzr + cmn x13, x16 + adcs xzr, x6, x4 + adcs xzr, x8, x2 + adcs xzr, x3, xzr + adcs xzr, x15, xzr + adcs xzr, x14, xzr + adc x1, x17, xzr + neg x9, x1 + and x1, x16, x9 + adds x11, x13, x1 + and x13, x4, x9 + adcs x5, x6, x13 + and x1, x2, x9 + adcs x7, x8, x1 + stp x11, x5, [x0] + adcs x11, x3, xzr + adcs x2, x15, xzr + stp x7, x11, [x0, #16] + adc x17, x14, xzr + stp x2, x17, [x0, #32] + ldr q1, [x26, #48] + ldp x9, x2, [x26, #48] + ldr q0, [x26, #48] + ldp x4, x6, [x26, #64] + rev64 v21.4s, v1.4s + uzp2 v28.4s, v1.4s, v1.4s + umulh x7, x9, x2 + xtn v17.2s, v1.2d + mul v27.4s, v21.4s, v0.4s + ldr q20, [x26, #80] + xtn v30.2s, v0.2d + ldr q1, [x26, #80] + uzp2 v31.4s, v0.4s, v0.4s + ldp x5, x10, [x26, #80] + umulh x8, x9, x4 + uaddlp v3.2d, v27.4s + umull v16.2d, v30.2s, v17.2s + mul x16, x9, x4 + umull v27.2d, v30.2s, v28.2s + shrn v0.2s, v20.2d, #32 + xtn v7.2s, v20.2d + shl v20.2d, v3.2d, #32 + umull v3.2d, v31.2s, v28.2s + mul x3, x2, x4 + umlal v20.2d, v30.2s, v17.2s + umull v22.2d, v7.2s, v0.2s + usra v27.2d, v16.2d, #32 + umulh x11, x2, x4 + movi v21.2d, #0xffffffff + uzp2 v28.4s, v1.4s, v1.4s + adds x15, x16, x7 + and v5.16b, v27.16b, v21.16b + adcs x3, x3, x8 + usra v3.2d, v27.2d, #32 + dup v29.2d, x6 + adcs x16, x11, xzr + mov x14, v20.d[0] + umlal v5.2d, v31.2s, v17.2s + mul x8, x9, x2 + mov x7, v20.d[1] + shl v19.2d, v22.2d, #33 + xtn v25.2s, v29.2d + rev64 v31.4s, v1.4s + lsl x13, x14, #32 + uzp2 v6.4s, v29.4s, v29.4s + umlal v19.2d, v7.2s, v7.2s + usra v3.2d, v5.2d, #32 + adds x1, x8, x8 + umulh x8, x4, x4 + add x12, x13, x14 + mul v17.4s, v31.4s, v29.4s + xtn v4.2s, v1.2d + adcs x14, x15, x15 + lsr x13, x12, #32 + adcs x15, x3, x3 + umull v31.2d, v25.2s, v28.2s + adcs x11, x16, x16 + umull v21.2d, v25.2s, v4.2s + mov x17, v3.d[0] + umull v18.2d, v6.2s, v28.2s + adc x16, x8, xzr + uaddlp v16.2d, v17.4s + movi v1.2d, #0xffffffff + subs x13, x13, x12 + usra v31.2d, v21.2d, #32 + sbc x8, x12, xzr + adds x17, x17, x1 + mul x1, x4, x4 + shl v28.2d, v16.2d, #32 + mov x3, v3.d[1] + adcs x14, x7, x14 + extr x7, x8, x13, #32 + adcs x13, x3, x15 + and v3.16b, v31.16b, v1.16b + adcs x11, x1, x11 + lsr x1, x8, #32 + umlal v3.2d, v6.2s, v4.2s + usra v18.2d, v31.2d, #32 + adc x3, x16, xzr + adds x1, x1, x12 + umlal v28.2d, v25.2s, v4.2s + adc x16, xzr, xzr + subs x15, x17, x7 + sbcs x7, x14, x1 + lsl x1, x15, #32 + sbcs x16, x13, x16 + add x8, x1, x15 + usra v18.2d, v3.2d, #32 + sbcs x14, x11, xzr + lsr x1, x8, #32 + sbcs x17, x3, xzr + sbc x11, x12, xzr + subs x13, x1, x8 + umulh x12, x4, x10 + sbc x1, x8, xzr + extr x13, x1, x13, #32 + lsr x1, x1, #32 + adds x15, x1, x8 + adc x1, xzr, xzr + subs x7, x7, x13 + sbcs x13, x16, x15 + lsl x3, x7, #32 + umulh x16, x2, x5 + sbcs x15, x14, x1 + add x7, x3, x7 + sbcs x3, x17, xzr + lsr x1, x7, #32 + sbcs x14, x11, xzr + sbc x11, x8, xzr + subs x8, x1, x7 + sbc x1, x7, xzr + extr x8, x1, x8, #32 + lsr x1, x1, #32 + adds x1, x1, x7 + adc x17, xzr, xzr + subs x13, x13, x8 + umulh x8, x9, x6 + sbcs x1, x15, x1 + sbcs x15, x3, x17 + sbcs x3, x14, xzr + mul x17, x2, x5 + sbcs x11, x11, xzr + stp x13, x1, [sp, #48] + sbc x14, x7, xzr + mul x7, x4, x10 + subs x1, x9, x2 + stp x15, x3, [sp, #64] + csetm x15, cc // cc = lo, ul, last + cneg x1, x1, cc // cc = lo, ul, last + stp x11, x14, [sp, #80] + mul x14, x9, x6 + adds x17, x8, x17 + adcs x7, x16, x7 + adc x13, x12, xzr + subs x12, x5, x6 + cneg x3, x12, cc // cc = lo, ul, last + cinv x16, x15, cc // cc = lo, ul, last + mul x8, x1, x3 + umulh x1, x1, x3 + eor x12, x8, x16 + adds x11, x17, x14 + adcs x3, x7, x17 + adcs x15, x13, x7 + adc x8, x13, xzr + adds x3, x3, x14 + adcs x15, x15, x17 + adcs x17, x8, x7 + eor x1, x1, x16 + adc x13, x13, xzr + subs x9, x9, x4 + csetm x8, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x4, x2, x4 + cneg x4, x4, cc // cc = lo, ul, last + csetm x7, cc // cc = lo, ul, last + subs x2, x10, x6 + cinv x8, x8, cc // cc = lo, ul, last + cneg x2, x2, cc // cc = lo, ul, last + cmn x16, #0x1 + adcs x11, x11, x12 + mul x12, x9, x2 + adcs x3, x3, x1 + adcs x15, x15, x16 + umulh x9, x9, x2 + adcs x17, x17, x16 + adc x13, x13, x16 + subs x1, x10, x5 + cinv x2, x7, cc // cc = lo, ul, last + cneg x1, x1, cc // cc = lo, ul, last + eor x9, x9, x8 + cmn x8, #0x1 + eor x7, x12, x8 + mul x12, x4, x1 + adcs x3, x3, x7 + adcs x7, x15, x9 + adcs x15, x17, x8 + ldp x9, x17, [sp, #64] + umulh x4, x4, x1 + adc x8, x13, x8 + cmn x2, #0x1 + eor x1, x12, x2 + adcs x1, x7, x1 + ldp x7, x16, [sp, #48] + eor x12, x4, x2 + adcs x4, x15, x12 + ldp x15, x12, [sp, #80] + adc x8, x8, x2 + adds x13, x14, x14 + umulh x14, x5, x10 + adcs x2, x11, x11 + adcs x3, x3, x3 + adcs x1, x1, x1 + adcs x4, x4, x4 + adcs x11, x8, x8 + adc x8, xzr, xzr + adds x13, x13, x7 + adcs x2, x2, x16 + mul x16, x5, x10 + adcs x3, x3, x9 + adcs x1, x1, x17 + umulh x5, x5, x5 + lsl x9, x13, #32 + add x9, x9, x13 + adcs x4, x4, x15 + mov x13, v28.d[1] + adcs x15, x11, x12 + lsr x7, x9, #32 + adc x11, x8, xzr + subs x7, x7, x9 + umulh x10, x10, x10 + sbc x17, x9, xzr + extr x7, x17, x7, #32 + lsr x17, x17, #32 + adds x17, x17, x9 + adc x12, xzr, xzr + subs x8, x2, x7 + sbcs x17, x3, x17 + lsl x7, x8, #32 + sbcs x2, x1, x12 + add x3, x7, x8 + sbcs x12, x4, xzr + lsr x1, x3, #32 + sbcs x7, x15, xzr + sbc x15, x9, xzr + subs x1, x1, x3 + sbc x4, x3, xzr + lsr x9, x4, #32 + extr x8, x4, x1, #32 + adds x9, x9, x3 + adc x4, xzr, xzr + subs x1, x17, x8 + lsl x17, x1, #32 + sbcs x8, x2, x9 + sbcs x9, x12, x4 + add x17, x17, x1 + mov x1, v18.d[1] + lsr x2, x17, #32 + sbcs x7, x7, xzr + mov x12, v18.d[0] + sbcs x15, x15, xzr + sbc x3, x3, xzr + subs x4, x2, x17 + sbc x2, x17, xzr + adds x12, x13, x12 + adcs x16, x16, x1 + lsr x13, x2, #32 + extr x1, x2, x4, #32 + adc x2, x14, xzr + adds x4, x13, x17 + mul x13, x6, x6 + adc x14, xzr, xzr + subs x1, x8, x1 + sbcs x4, x9, x4 + mov x9, v28.d[0] + sbcs x7, x7, x14 + sbcs x8, x15, xzr + sbcs x3, x3, xzr + sbc x14, x17, xzr + adds x17, x9, x9 + adcs x12, x12, x12 + mov x15, v19.d[0] + adcs x9, x16, x16 + umulh x6, x6, x6 + adcs x16, x2, x2 + adc x2, xzr, xzr + adds x11, x11, x8 + adcs x3, x3, xzr + adcs x14, x14, xzr + adcs x8, xzr, xzr + adds x13, x1, x13 + mov x1, v19.d[1] + adcs x6, x4, x6 + mov x4, #0xffffffff // #4294967295 + adcs x15, x7, x15 + adcs x7, x11, x5 + adcs x1, x3, x1 + adcs x14, x14, x10 + adc x11, x8, xzr + adds x6, x6, x17 + adcs x8, x15, x12 + adcs x3, x7, x9 + adcs x15, x1, x16 + mov x16, #0xffffffff00000001 // #-4294967295 + adcs x14, x14, x2 + mov x2, #0x1 // #1 + adc x17, x11, xzr + cmn x13, x16 + adcs xzr, x6, x4 + adcs xzr, x8, x2 + adcs xzr, x3, xzr + adcs xzr, x15, xzr + adcs xzr, x14, xzr + adc x1, x17, xzr + neg x9, x1 + and x1, x16, x9 + adds x11, x13, x1 + and x13, x4, x9 + adcs x5, x6, x13 + and x1, x2, x9 + adcs x7, x8, x1 + stp x11, x5, [sp, #48] + adcs x11, x3, xzr + adcs x2, x15, xzr + stp x7, x11, [sp, #64] + adc x17, x14, xzr + stp x2, x17, [sp, #80] + ldp x5, x6, [x26] + ldp x4, x3, [sp] + adds x5, x5, x4 + adcs x6, x6, x3 + ldp x7, x8, [x26, #16] + ldp x4, x3, [sp, #16] + adcs x7, x7, x4 + adcs x8, x8, x3 + ldp x9, x10, [x26, #32] + ldp x4, x3, [sp, #32] + adcs x9, x9, x4 + adcs x10, x10, x3 + csetm x3, cs // cs = hs, nlast + mov x4, #0xffffffff // #4294967295 + and x4, x4, x3 + subs x5, x5, x4 + eor x4, x4, x3 + sbcs x6, x6, x4 + mov x4, #0xfffffffffffffffe // #-2 + and x4, x4, x3 + sbcs x7, x7, x4 + sbcs x8, x8, x3 + sbcs x9, x9, x3 + sbc x10, x10, x3 + stp x5, x6, [sp, #240] + stp x7, x8, [sp, #256] + stp x9, x10, [sp, #272] + mov x2, sp + ldp x5, x6, [x26] + ldp x4, x3, [x2] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [x26, #16] + ldp x4, x3, [x2, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [x26, #32] + ldp x4, x3, [x2, #32] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + csetm x3, cc // cc = lo, ul, last + mov x4, #0xffffffff // #4294967295 + and x4, x4, x3 + adds x13, x5, x4 + eor x4, x4, x3 + adcs x23, x6, x4 + mov x4, #0xfffffffffffffffe // #-2 + and x4, x4, x3 + adcs x7, x7, x4 + adcs x8, x8, x3 + adcs x9, x9, x3 + adc x10, x10, x3 + stp x13, x23, [sp, #192] + stp x7, x8, [sp, #208] + stp x9, x10, [sp, #224] + ldr q3, [sp, #240] + ldr q25, [sp, #192] + ldp x3, x21, [sp, #240] + rev64 v23.4s, v25.4s + uzp1 v17.4s, v25.4s, v3.4s + umulh x15, x3, x13 + mul v6.4s, v23.4s, v3.4s + uzp1 v3.4s, v3.4s, v3.4s + ldr q27, [sp, #224] + ldp x8, x24, [sp, #256] + subs x6, x3, x21 + ldr q0, [sp, #272] + movi v23.2d, #0xffffffff + csetm x10, cc // cc = lo, ul, last + umulh x19, x21, x23 + rev64 v4.4s, v27.4s + uzp2 v25.4s, v27.4s, v27.4s + cneg x4, x6, cc // cc = lo, ul, last + subs x7, x23, x13 + xtn v22.2s, v0.2d + xtn v24.2s, v27.2d + cneg x20, x7, cc // cc = lo, ul, last + ldp x6, x14, [sp, #208] + mul v27.4s, v4.4s, v0.4s + uaddlp v20.2d, v6.4s + cinv x5, x10, cc // cc = lo, ul, last + mul x16, x4, x20 + uzp2 v6.4s, v0.4s, v0.4s + umull v21.2d, v22.2s, v25.2s + shl v0.2d, v20.2d, #32 + umlal v0.2d, v3.2s, v17.2s + mul x22, x8, x6 + umull v1.2d, v6.2s, v25.2s + subs x12, x3, x8 + umull v20.2d, v22.2s, v24.2s + cneg x17, x12, cc // cc = lo, ul, last + umulh x9, x8, x6 + mov x12, v0.d[1] + eor x11, x16, x5 + mov x7, v0.d[0] + csetm x10, cc // cc = lo, ul, last + usra v21.2d, v20.2d, #32 + adds x15, x15, x12 + adcs x12, x19, x22 + umulh x20, x4, x20 + adc x19, x9, xzr + usra v1.2d, v21.2d, #32 + adds x22, x15, x7 + and v26.16b, v21.16b, v23.16b + adcs x16, x12, x15 + uaddlp v25.2d, v27.4s + adcs x9, x19, x12 + umlal v26.2d, v6.2s, v24.2s + adc x4, x19, xzr + adds x16, x16, x7 + shl v27.2d, v25.2d, #32 + adcs x9, x9, x15 + adcs x4, x4, x12 + eor x12, x20, x5 + adc x15, x19, xzr + subs x20, x6, x13 + cneg x20, x20, cc // cc = lo, ul, last + cinv x10, x10, cc // cc = lo, ul, last + cmn x5, #0x1 + mul x19, x17, x20 + adcs x11, x22, x11 + adcs x12, x16, x12 + adcs x9, x9, x5 + umulh x17, x17, x20 + adcs x22, x4, x5 + adc x5, x15, x5 + subs x16, x21, x8 + cneg x20, x16, cc // cc = lo, ul, last + eor x19, x19, x10 + csetm x4, cc // cc = lo, ul, last + subs x16, x6, x23 + cneg x16, x16, cc // cc = lo, ul, last + umlal v27.2d, v22.2s, v24.2s + mul x15, x20, x16 + cinv x4, x4, cc // cc = lo, ul, last + cmn x10, #0x1 + usra v1.2d, v26.2d, #32 + adcs x19, x12, x19 + eor x17, x17, x10 + adcs x9, x9, x17 + adcs x22, x22, x10 + lsl x12, x7, #32 + umulh x20, x20, x16 + eor x16, x15, x4 + ldp x15, x17, [sp, #224] + add x2, x12, x7 + adc x7, x5, x10 + ldp x5, x10, [sp, #272] + lsr x1, x2, #32 + eor x12, x20, x4 + subs x1, x1, x2 + sbc x20, x2, xzr + cmn x4, #0x1 + adcs x9, x9, x16 + extr x1, x20, x1, #32 + lsr x20, x20, #32 + adcs x22, x22, x12 + adc x16, x7, x4 + adds x12, x20, x2 + umulh x7, x24, x14 + adc x4, xzr, xzr + subs x1, x11, x1 + sbcs x20, x19, x12 + sbcs x12, x9, x4 + lsl x9, x1, #32 + add x1, x9, x1 + sbcs x9, x22, xzr + mul x22, x24, x14 + sbcs x16, x16, xzr + lsr x4, x1, #32 + sbc x19, x2, xzr + subs x4, x4, x1 + sbc x11, x1, xzr + extr x2, x11, x4, #32 + lsr x4, x11, #32 + adds x4, x4, x1 + adc x11, xzr, xzr + subs x2, x20, x2 + sbcs x4, x12, x4 + sbcs x20, x9, x11 + lsl x12, x2, #32 + add x2, x12, x2 + sbcs x9, x16, xzr + lsr x11, x2, #32 + sbcs x19, x19, xzr + sbc x1, x1, xzr + subs x16, x11, x2 + sbc x12, x2, xzr + extr x16, x12, x16, #32 + lsr x12, x12, #32 + adds x11, x12, x2 + adc x12, xzr, xzr + subs x16, x4, x16 + mov x4, v27.d[0] + sbcs x11, x20, x11 + sbcs x20, x9, x12 + stp x16, x11, [sp, #96] + sbcs x11, x19, xzr + sbcs x9, x1, xzr + stp x20, x11, [sp, #112] + mov x1, v1.d[0] + sbc x20, x2, xzr + subs x12, x24, x5 + mov x11, v27.d[1] + cneg x16, x12, cc // cc = lo, ul, last + csetm x2, cc // cc = lo, ul, last + subs x19, x15, x14 + mov x12, v1.d[1] + cinv x2, x2, cc // cc = lo, ul, last + cneg x19, x19, cc // cc = lo, ul, last + stp x9, x20, [sp, #128] + mul x9, x16, x19 + adds x4, x7, x4 + adcs x11, x1, x11 + adc x1, x12, xzr + adds x20, x4, x22 + umulh x19, x16, x19 + adcs x7, x11, x4 + eor x16, x9, x2 + adcs x9, x1, x11 + adc x12, x1, xzr + adds x7, x7, x22 + adcs x4, x9, x4 + adcs x9, x12, x11 + adc x12, x1, xzr + cmn x2, #0x1 + eor x1, x19, x2 + adcs x11, x20, x16 + adcs x19, x7, x1 + adcs x1, x4, x2 + adcs x20, x9, x2 + adc x2, x12, x2 + subs x12, x24, x10 + cneg x16, x12, cc // cc = lo, ul, last + csetm x12, cc // cc = lo, ul, last + subs x9, x17, x14 + cinv x12, x12, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x3, x24, x3 + sbcs x21, x5, x21 + mul x24, x16, x9 + sbcs x4, x10, x8 + ngc x8, xzr + subs x10, x5, x10 + eor x5, x24, x12 + csetm x7, cc // cc = lo, ul, last + cneg x24, x10, cc // cc = lo, ul, last + subs x10, x17, x15 + cinv x7, x7, cc // cc = lo, ul, last + cneg x10, x10, cc // cc = lo, ul, last + subs x14, x13, x14 + sbcs x15, x23, x15 + eor x13, x21, x8 + mul x23, x24, x10 + sbcs x17, x6, x17 + eor x6, x3, x8 + ngc x21, xzr + umulh x9, x16, x9 + cmn x8, #0x1 + eor x3, x23, x7 + adcs x23, x6, xzr + adcs x13, x13, xzr + eor x16, x4, x8 + adc x16, x16, xzr + eor x4, x17, x21 + umulh x17, x24, x10 + cmn x21, #0x1 + eor x24, x14, x21 + eor x6, x15, x21 + adcs x15, x24, xzr + adcs x14, x6, xzr + adc x6, x4, xzr + cmn x12, #0x1 + eor x4, x9, x12 + adcs x19, x19, x5 + umulh x5, x23, x15 + adcs x1, x1, x4 + adcs x10, x20, x12 + eor x4, x17, x7 + ldp x20, x9, [sp, #96] + adc x2, x2, x12 + cmn x7, #0x1 + adcs x12, x1, x3 + ldp x17, x24, [sp, #112] + mul x1, x16, x6 + adcs x3, x10, x4 + adc x2, x2, x7 + ldp x7, x4, [sp, #128] + adds x20, x22, x20 + mul x10, x13, x14 + adcs x11, x11, x9 + eor x9, x8, x21 + adcs x21, x19, x17 + stp x20, x11, [sp, #96] + adcs x12, x12, x24 + mul x8, x23, x15 + adcs x3, x3, x7 + stp x21, x12, [sp, #112] + adcs x12, x2, x4 + adc x19, xzr, xzr + subs x21, x23, x16 + umulh x2, x16, x6 + stp x3, x12, [sp, #128] + cneg x3, x21, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + umulh x11, x13, x14 + subs x21, x13, x16 + eor x7, x8, x9 + cneg x17, x21, cc // cc = lo, ul, last + csetm x16, cc // cc = lo, ul, last + subs x21, x6, x15 + cneg x22, x21, cc // cc = lo, ul, last + cinv x21, x24, cc // cc = lo, ul, last + subs x20, x23, x13 + umulh x12, x3, x22 + cneg x23, x20, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + subs x20, x14, x15 + cinv x24, x24, cc // cc = lo, ul, last + mul x22, x3, x22 + cneg x3, x20, cc // cc = lo, ul, last + subs x13, x6, x14 + cneg x20, x13, cc // cc = lo, ul, last + cinv x15, x16, cc // cc = lo, ul, last + adds x13, x5, x10 + mul x4, x23, x3 + adcs x11, x11, x1 + adc x14, x2, xzr + adds x5, x13, x8 + adcs x16, x11, x13 + umulh x23, x23, x3 + adcs x3, x14, x11 + adc x1, x14, xzr + adds x10, x16, x8 + adcs x6, x3, x13 + adcs x8, x1, x11 + umulh x13, x17, x20 + eor x1, x4, x24 + adc x4, x14, xzr + cmn x24, #0x1 + adcs x1, x5, x1 + eor x16, x23, x24 + eor x11, x1, x9 + adcs x23, x10, x16 + eor x2, x22, x21 + adcs x3, x6, x24 + mul x14, x17, x20 + eor x17, x13, x15 + adcs x13, x8, x24 + adc x8, x4, x24 + cmn x21, #0x1 + adcs x6, x23, x2 + mov x16, #0xfffffffffffffffe // #-2 + eor x20, x12, x21 + adcs x20, x3, x20 + eor x23, x14, x15 + adcs x2, x13, x21 + adc x8, x8, x21 + cmn x15, #0x1 + ldp x5, x4, [sp, #96] + ldp x21, x12, [sp, #112] + adcs x22, x20, x23 + eor x23, x22, x9 + adcs x17, x2, x17 + adc x22, x8, x15 + cmn x9, #0x1 + adcs x15, x7, x5 + ldp x10, x14, [sp, #128] + eor x1, x6, x9 + lsl x2, x15, #32 + adcs x8, x11, x4 + adcs x13, x1, x21 + eor x1, x22, x9 + adcs x24, x23, x12 + eor x11, x17, x9 + adcs x23, x11, x10 + adcs x7, x1, x14 + adcs x17, x9, x19 + adcs x20, x9, xzr + add x1, x2, x15 + lsr x3, x1, #32 + adcs x11, x9, xzr + adc x9, x9, xzr + subs x3, x3, x1 + sbc x6, x1, xzr + adds x24, x24, x5 + adcs x4, x23, x4 + extr x3, x6, x3, #32 + lsr x6, x6, #32 + adcs x21, x7, x21 + adcs x15, x17, x12 + adcs x7, x20, x10 + adcs x20, x11, x14 + mov x14, #0xffffffff // #4294967295 + adc x22, x9, x19 + adds x12, x6, x1 + adc x10, xzr, xzr + subs x3, x8, x3 + sbcs x12, x13, x12 + lsl x9, x3, #32 + add x3, x9, x3 + sbcs x10, x24, x10 + sbcs x24, x4, xzr + lsr x9, x3, #32 + sbcs x21, x21, xzr + sbc x1, x1, xzr + subs x9, x9, x3 + sbc x13, x3, xzr + extr x9, x13, x9, #32 + lsr x13, x13, #32 + adds x13, x13, x3 + adc x6, xzr, xzr + subs x12, x12, x9 + sbcs x17, x10, x13 + lsl x2, x12, #32 + sbcs x10, x24, x6 + add x9, x2, x12 + sbcs x6, x21, xzr + lsr x5, x9, #32 + sbcs x21, x1, xzr + sbc x13, x3, xzr + subs x8, x5, x9 + sbc x19, x9, xzr + lsr x12, x19, #32 + extr x3, x19, x8, #32 + adds x8, x12, x9 + adc x1, xzr, xzr + subs x2, x17, x3 + sbcs x12, x10, x8 + sbcs x5, x6, x1 + sbcs x3, x21, xzr + sbcs x19, x13, xzr + sbc x24, x9, xzr + adds x23, x15, x3 + adcs x8, x7, x19 + adcs x11, x20, x24 + adc x9, x22, xzr + add x24, x9, #0x1 + lsl x7, x24, #32 + subs x21, x24, x7 + sbc x10, x7, xzr + adds x6, x2, x21 + adcs x7, x12, x10 + adcs x24, x5, x24 + adcs x13, x23, xzr + adcs x8, x8, xzr + adcs x15, x11, xzr + csetm x23, cc // cc = lo, ul, last + and x11, x16, x23 + and x20, x14, x23 + adds x22, x6, x20 + eor x3, x20, x23 + adcs x5, x7, x3 + adcs x14, x24, x11 + stp x22, x5, [sp, #96] + adcs x5, x13, x23 + adcs x21, x8, x23 + stp x14, x5, [sp, #112] + adc x12, x15, x23 + stp x21, x12, [sp, #128] + ldp x5, x6, [x26, #48] + ldp x4, x3, [x26, #96] + adds x5, x5, x4 + adcs x6, x6, x3 + ldp x7, x8, [x26, #64] + ldp x4, x3, [x26, #112] + adcs x7, x7, x4 + adcs x8, x8, x3 + ldp x9, x10, [x26, #80] + ldp x4, x3, [x26, #128] + adcs x9, x9, x4 + adcs x10, x10, x3 + adc x3, xzr, xzr + mov x4, #0xffffffff // #4294967295 + cmp x5, x4 + mov x4, #0xffffffff00000000 // #-4294967296 + sbcs xzr, x6, x4 + mov x4, #0xfffffffffffffffe // #-2 + sbcs xzr, x7, x4 + adcs xzr, x8, xzr + adcs xzr, x9, xzr + adcs xzr, x10, xzr + adcs x3, x3, xzr + csetm x3, ne // ne = any + mov x4, #0xffffffff // #4294967295 + and x4, x4, x3 + subs x5, x5, x4 + eor x4, x4, x3 + sbcs x6, x6, x4 + mov x4, #0xfffffffffffffffe // #-2 + and x4, x4, x3 + sbcs x7, x7, x4 + sbcs x8, x8, x3 + sbcs x9, x9, x3 + sbc x10, x10, x3 + stp x5, x6, [sp, #240] + stp x7, x8, [sp, #256] + stp x9, x10, [sp, #272] + ldr q1, [sp, #96] + ldp x9, x2, [sp, #96] + ldr q0, [sp, #96] + ldp x4, x6, [sp, #112] + rev64 v21.4s, v1.4s + uzp2 v28.4s, v1.4s, v1.4s + umulh x7, x9, x2 + xtn v17.2s, v1.2d + mul v27.4s, v21.4s, v0.4s + ldr q20, [sp, #128] + xtn v30.2s, v0.2d + ldr q1, [sp, #128] + uzp2 v31.4s, v0.4s, v0.4s + ldp x5, x10, [sp, #128] + umulh x8, x9, x4 + uaddlp v3.2d, v27.4s + umull v16.2d, v30.2s, v17.2s + mul x16, x9, x4 + umull v27.2d, v30.2s, v28.2s + shrn v0.2s, v20.2d, #32 + xtn v7.2s, v20.2d + shl v20.2d, v3.2d, #32 + umull v3.2d, v31.2s, v28.2s + mul x3, x2, x4 + umlal v20.2d, v30.2s, v17.2s + umull v22.2d, v7.2s, v0.2s + usra v27.2d, v16.2d, #32 + umulh x11, x2, x4 + movi v21.2d, #0xffffffff + uzp2 v28.4s, v1.4s, v1.4s + adds x15, x16, x7 + and v5.16b, v27.16b, v21.16b + adcs x3, x3, x8 + usra v3.2d, v27.2d, #32 + dup v29.2d, x6 + adcs x16, x11, xzr + mov x14, v20.d[0] + umlal v5.2d, v31.2s, v17.2s + mul x8, x9, x2 + mov x7, v20.d[1] + shl v19.2d, v22.2d, #33 + xtn v25.2s, v29.2d + rev64 v31.4s, v1.4s + lsl x13, x14, #32 + uzp2 v6.4s, v29.4s, v29.4s + umlal v19.2d, v7.2s, v7.2s + usra v3.2d, v5.2d, #32 + adds x1, x8, x8 + umulh x8, x4, x4 + add x12, x13, x14 + mul v17.4s, v31.4s, v29.4s + xtn v4.2s, v1.2d + adcs x14, x15, x15 + lsr x13, x12, #32 + adcs x15, x3, x3 + umull v31.2d, v25.2s, v28.2s + adcs x11, x16, x16 + umull v21.2d, v25.2s, v4.2s + mov x17, v3.d[0] + umull v18.2d, v6.2s, v28.2s + adc x16, x8, xzr + uaddlp v16.2d, v17.4s + movi v1.2d, #0xffffffff + subs x13, x13, x12 + usra v31.2d, v21.2d, #32 + sbc x8, x12, xzr + adds x17, x17, x1 + mul x1, x4, x4 + shl v28.2d, v16.2d, #32 + mov x3, v3.d[1] + adcs x14, x7, x14 + extr x7, x8, x13, #32 + adcs x13, x3, x15 + and v3.16b, v31.16b, v1.16b + adcs x11, x1, x11 + lsr x1, x8, #32 + umlal v3.2d, v6.2s, v4.2s + usra v18.2d, v31.2d, #32 + adc x3, x16, xzr + adds x1, x1, x12 + umlal v28.2d, v25.2s, v4.2s + adc x16, xzr, xzr + subs x15, x17, x7 + sbcs x7, x14, x1 + lsl x1, x15, #32 + sbcs x16, x13, x16 + add x8, x1, x15 + usra v18.2d, v3.2d, #32 + sbcs x14, x11, xzr + lsr x1, x8, #32 + sbcs x17, x3, xzr + sbc x11, x12, xzr + subs x13, x1, x8 + umulh x12, x4, x10 + sbc x1, x8, xzr + extr x13, x1, x13, #32 + lsr x1, x1, #32 + adds x15, x1, x8 + adc x1, xzr, xzr + subs x7, x7, x13 + sbcs x13, x16, x15 + lsl x3, x7, #32 + umulh x16, x2, x5 + sbcs x15, x14, x1 + add x7, x3, x7 + sbcs x3, x17, xzr + lsr x1, x7, #32 + sbcs x14, x11, xzr + sbc x11, x8, xzr + subs x8, x1, x7 + sbc x1, x7, xzr + extr x8, x1, x8, #32 + lsr x1, x1, #32 + adds x1, x1, x7 + adc x17, xzr, xzr + subs x13, x13, x8 + umulh x8, x9, x6 + sbcs x1, x15, x1 + sbcs x15, x3, x17 + sbcs x3, x14, xzr + mul x17, x2, x5 + sbcs x11, x11, xzr + stp x13, x1, [sp, #288] + sbc x14, x7, xzr + mul x7, x4, x10 + subs x1, x9, x2 + stp x15, x3, [sp, #304] + csetm x15, cc // cc = lo, ul, last + cneg x1, x1, cc // cc = lo, ul, last + stp x11, x14, [sp, #320] + mul x14, x9, x6 + adds x17, x8, x17 + adcs x7, x16, x7 + adc x13, x12, xzr + subs x12, x5, x6 + cneg x3, x12, cc // cc = lo, ul, last + cinv x16, x15, cc // cc = lo, ul, last + mul x8, x1, x3 + umulh x1, x1, x3 + eor x12, x8, x16 + adds x11, x17, x14 + adcs x3, x7, x17 + adcs x15, x13, x7 + adc x8, x13, xzr + adds x3, x3, x14 + adcs x15, x15, x17 + adcs x17, x8, x7 + eor x1, x1, x16 + adc x13, x13, xzr + subs x9, x9, x4 + csetm x8, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x4, x2, x4 + cneg x4, x4, cc // cc = lo, ul, last + csetm x7, cc // cc = lo, ul, last + subs x2, x10, x6 + cinv x8, x8, cc // cc = lo, ul, last + cneg x2, x2, cc // cc = lo, ul, last + cmn x16, #0x1 + adcs x11, x11, x12 + mul x12, x9, x2 + adcs x3, x3, x1 + adcs x15, x15, x16 + umulh x9, x9, x2 + adcs x17, x17, x16 + adc x13, x13, x16 + subs x1, x10, x5 + cinv x2, x7, cc // cc = lo, ul, last + cneg x1, x1, cc // cc = lo, ul, last + eor x9, x9, x8 + cmn x8, #0x1 + eor x7, x12, x8 + mul x12, x4, x1 + adcs x3, x3, x7 + adcs x7, x15, x9 + adcs x15, x17, x8 + ldp x9, x17, [sp, #304] + umulh x4, x4, x1 + adc x8, x13, x8 + cmn x2, #0x1 + eor x1, x12, x2 + adcs x1, x7, x1 + ldp x7, x16, [sp, #288] + eor x12, x4, x2 + adcs x4, x15, x12 + ldp x15, x12, [sp, #320] + adc x8, x8, x2 + adds x13, x14, x14 + umulh x14, x5, x10 + adcs x2, x11, x11 + adcs x3, x3, x3 + adcs x1, x1, x1 + adcs x4, x4, x4 + adcs x11, x8, x8 + adc x8, xzr, xzr + adds x13, x13, x7 + adcs x2, x2, x16 + mul x16, x5, x10 + adcs x3, x3, x9 + adcs x1, x1, x17 + umulh x5, x5, x5 + lsl x9, x13, #32 + add x9, x9, x13 + adcs x4, x4, x15 + mov x13, v28.d[1] + adcs x15, x11, x12 + lsr x7, x9, #32 + adc x11, x8, xzr + subs x7, x7, x9 + umulh x10, x10, x10 + sbc x17, x9, xzr + extr x7, x17, x7, #32 + lsr x17, x17, #32 + adds x17, x17, x9 + adc x12, xzr, xzr + subs x8, x2, x7 + sbcs x17, x3, x17 + lsl x7, x8, #32 + sbcs x2, x1, x12 + add x3, x7, x8 + sbcs x12, x4, xzr + lsr x1, x3, #32 + sbcs x7, x15, xzr + sbc x15, x9, xzr + subs x1, x1, x3 + sbc x4, x3, xzr + lsr x9, x4, #32 + extr x8, x4, x1, #32 + adds x9, x9, x3 + adc x4, xzr, xzr + subs x1, x17, x8 + lsl x17, x1, #32 + sbcs x8, x2, x9 + sbcs x9, x12, x4 + add x17, x17, x1 + mov x1, v18.d[1] + lsr x2, x17, #32 + sbcs x7, x7, xzr + mov x12, v18.d[0] + sbcs x15, x15, xzr + sbc x3, x3, xzr + subs x4, x2, x17 + sbc x2, x17, xzr + adds x12, x13, x12 + adcs x16, x16, x1 + lsr x13, x2, #32 + extr x1, x2, x4, #32 + adc x2, x14, xzr + adds x4, x13, x17 + mul x13, x6, x6 + adc x14, xzr, xzr + subs x1, x8, x1 + sbcs x4, x9, x4 + mov x9, v28.d[0] + sbcs x7, x7, x14 + sbcs x8, x15, xzr + sbcs x3, x3, xzr + sbc x14, x17, xzr + adds x17, x9, x9 + adcs x12, x12, x12 + mov x15, v19.d[0] + adcs x9, x16, x16 + umulh x6, x6, x6 + adcs x16, x2, x2 + adc x2, xzr, xzr + adds x11, x11, x8 + adcs x3, x3, xzr + adcs x14, x14, xzr + adcs x8, xzr, xzr + adds x13, x1, x13 + mov x1, v19.d[1] + adcs x6, x4, x6 + mov x4, #0xffffffff // #4294967295 + adcs x15, x7, x15 + adcs x7, x11, x5 + adcs x1, x3, x1 + adcs x14, x14, x10 + adc x11, x8, xzr + adds x6, x6, x17 + adcs x8, x15, x12 + adcs x3, x7, x9 + adcs x15, x1, x16 + mov x16, #0xffffffff00000001 // #-4294967295 + adcs x14, x14, x2 + mov x2, #0x1 // #1 + adc x17, x11, xzr + cmn x13, x16 + adcs xzr, x6, x4 + adcs xzr, x8, x2 + adcs xzr, x3, xzr + adcs xzr, x15, xzr + adcs xzr, x14, xzr + adc x1, x17, xzr + neg x9, x1 + and x1, x16, x9 + adds x11, x13, x1 + and x13, x4, x9 + adcs x5, x6, x13 + and x1, x2, x9 + adcs x7, x8, x1 + stp x11, x5, [sp, #288] + adcs x11, x3, xzr + adcs x2, x15, xzr + stp x7, x11, [sp, #304] + adc x17, x14, xzr + stp x2, x17, [sp, #320] + ldr q3, [x26] + ldr q25, [sp, #48] + ldp x13, x23, [sp, #48] + ldp x3, x21, [x26] + rev64 v23.4s, v25.4s + uzp1 v17.4s, v25.4s, v3.4s + umulh x15, x3, x13 + mul v6.4s, v23.4s, v3.4s + uzp1 v3.4s, v3.4s, v3.4s + ldr q27, [sp, #80] + ldp x8, x24, [x26, #16] + subs x6, x3, x21 + ldr q0, [x26, #32] + movi v23.2d, #0xffffffff + csetm x10, cc // cc = lo, ul, last + umulh x19, x21, x23 + rev64 v4.4s, v27.4s + uzp2 v25.4s, v27.4s, v27.4s + cneg x4, x6, cc // cc = lo, ul, last + subs x7, x23, x13 + xtn v22.2s, v0.2d + xtn v24.2s, v27.2d + cneg x20, x7, cc // cc = lo, ul, last + ldp x6, x14, [sp, #64] + mul v27.4s, v4.4s, v0.4s + uaddlp v20.2d, v6.4s + cinv x5, x10, cc // cc = lo, ul, last + mul x16, x4, x20 + uzp2 v6.4s, v0.4s, v0.4s + umull v21.2d, v22.2s, v25.2s + shl v0.2d, v20.2d, #32 + umlal v0.2d, v3.2s, v17.2s + mul x22, x8, x6 + umull v1.2d, v6.2s, v25.2s + subs x12, x3, x8 + umull v20.2d, v22.2s, v24.2s + cneg x17, x12, cc // cc = lo, ul, last + umulh x9, x8, x6 + mov x12, v0.d[1] + eor x11, x16, x5 + mov x7, v0.d[0] + csetm x10, cc // cc = lo, ul, last + usra v21.2d, v20.2d, #32 + adds x15, x15, x12 + adcs x12, x19, x22 + umulh x20, x4, x20 + adc x19, x9, xzr + usra v1.2d, v21.2d, #32 + adds x22, x15, x7 + and v26.16b, v21.16b, v23.16b + adcs x16, x12, x15 + uaddlp v25.2d, v27.4s + adcs x9, x19, x12 + umlal v26.2d, v6.2s, v24.2s + adc x4, x19, xzr + adds x16, x16, x7 + shl v27.2d, v25.2d, #32 + adcs x9, x9, x15 + adcs x4, x4, x12 + eor x12, x20, x5 + adc x15, x19, xzr + subs x20, x6, x13 + cneg x20, x20, cc // cc = lo, ul, last + cinv x10, x10, cc // cc = lo, ul, last + cmn x5, #0x1 + mul x19, x17, x20 + adcs x11, x22, x11 + adcs x12, x16, x12 + adcs x9, x9, x5 + umulh x17, x17, x20 + adcs x22, x4, x5 + adc x5, x15, x5 + subs x16, x21, x8 + cneg x20, x16, cc // cc = lo, ul, last + eor x19, x19, x10 + csetm x4, cc // cc = lo, ul, last + subs x16, x6, x23 + cneg x16, x16, cc // cc = lo, ul, last + umlal v27.2d, v22.2s, v24.2s + mul x15, x20, x16 + cinv x4, x4, cc // cc = lo, ul, last + cmn x10, #0x1 + usra v1.2d, v26.2d, #32 + adcs x19, x12, x19 + eor x17, x17, x10 + adcs x9, x9, x17 + adcs x22, x22, x10 + lsl x12, x7, #32 + umulh x20, x20, x16 + eor x16, x15, x4 + ldp x15, x17, [sp, #80] + add x2, x12, x7 + adc x7, x5, x10 + ldp x5, x10, [x26, #32] + lsr x1, x2, #32 + eor x12, x20, x4 + subs x1, x1, x2 + sbc x20, x2, xzr + cmn x4, #0x1 + adcs x9, x9, x16 + extr x1, x20, x1, #32 + lsr x20, x20, #32 + adcs x22, x22, x12 + adc x16, x7, x4 + adds x12, x20, x2 + umulh x7, x24, x14 + adc x4, xzr, xzr + subs x1, x11, x1 + sbcs x20, x19, x12 + sbcs x12, x9, x4 + lsl x9, x1, #32 + add x1, x9, x1 + sbcs x9, x22, xzr + mul x22, x24, x14 + sbcs x16, x16, xzr + lsr x4, x1, #32 + sbc x19, x2, xzr + subs x4, x4, x1 + sbc x11, x1, xzr + extr x2, x11, x4, #32 + lsr x4, x11, #32 + adds x4, x4, x1 + adc x11, xzr, xzr + subs x2, x20, x2 + sbcs x4, x12, x4 + sbcs x20, x9, x11 + lsl x12, x2, #32 + add x2, x12, x2 + sbcs x9, x16, xzr + lsr x11, x2, #32 + sbcs x19, x19, xzr + sbc x1, x1, xzr + subs x16, x11, x2 + sbc x12, x2, xzr + extr x16, x12, x16, #32 + lsr x12, x12, #32 + adds x11, x12, x2 + adc x12, xzr, xzr + subs x26, x4, x16 + mov x4, v27.d[0] + sbcs x27, x20, x11 + sbcs x20, x9, x12 + sbcs x11, x19, xzr + sbcs x9, x1, xzr + stp x20, x11, [sp, #160] + mov x1, v1.d[0] + sbc x20, x2, xzr + subs x12, x24, x5 + mov x11, v27.d[1] + cneg x16, x12, cc // cc = lo, ul, last + csetm x2, cc // cc = lo, ul, last + subs x19, x15, x14 + mov x12, v1.d[1] + cinv x2, x2, cc // cc = lo, ul, last + cneg x19, x19, cc // cc = lo, ul, last + stp x9, x20, [sp, #176] + mul x9, x16, x19 + adds x4, x7, x4 + adcs x11, x1, x11 + adc x1, x12, xzr + adds x20, x4, x22 + umulh x19, x16, x19 + adcs x7, x11, x4 + eor x16, x9, x2 + adcs x9, x1, x11 + adc x12, x1, xzr + adds x7, x7, x22 + adcs x4, x9, x4 + adcs x9, x12, x11 + adc x12, x1, xzr + cmn x2, #0x1 + eor x1, x19, x2 + adcs x11, x20, x16 + adcs x19, x7, x1 + adcs x1, x4, x2 + adcs x20, x9, x2 + adc x2, x12, x2 + subs x12, x24, x10 + cneg x16, x12, cc // cc = lo, ul, last + csetm x12, cc // cc = lo, ul, last + subs x9, x17, x14 + cinv x12, x12, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x3, x24, x3 + sbcs x21, x5, x21 + mul x24, x16, x9 + sbcs x4, x10, x8 + ngc x8, xzr + subs x10, x5, x10 + eor x5, x24, x12 + csetm x7, cc // cc = lo, ul, last + cneg x24, x10, cc // cc = lo, ul, last + subs x10, x17, x15 + cinv x7, x7, cc // cc = lo, ul, last + cneg x10, x10, cc // cc = lo, ul, last + subs x14, x13, x14 + sbcs x15, x23, x15 + eor x13, x21, x8 + mul x23, x24, x10 + sbcs x17, x6, x17 + eor x6, x3, x8 + ngc x21, xzr + umulh x9, x16, x9 + cmn x8, #0x1 + eor x3, x23, x7 + adcs x23, x6, xzr + adcs x13, x13, xzr + eor x16, x4, x8 + adc x16, x16, xzr + eor x4, x17, x21 + umulh x17, x24, x10 + cmn x21, #0x1 + eor x24, x14, x21 + eor x6, x15, x21 + adcs x15, x24, xzr + adcs x14, x6, xzr + adc x6, x4, xzr + cmn x12, #0x1 + eor x4, x9, x12 + adcs x19, x19, x5 + umulh x5, x23, x15 + adcs x1, x1, x4 + adcs x10, x20, x12 + eor x4, x17, x7 + adc x2, x2, x12 + cmn x7, #0x1 + adcs x12, x1, x3 + ldp x17, x24, [sp, #160] + mul x1, x16, x6 + adcs x3, x10, x4 + adc x2, x2, x7 + ldp x7, x4, [sp, #176] + adds x20, x22, x26 + mul x10, x13, x14 + adcs x11, x11, x27 + eor x9, x8, x21 + adcs x26, x19, x17 + stp x20, x11, [sp, #144] + adcs x27, x12, x24 + mul x8, x23, x15 + adcs x3, x3, x7 + adcs x12, x2, x4 + adc x19, xzr, xzr + subs x21, x23, x16 + umulh x2, x16, x6 + stp x3, x12, [sp, #176] + cneg x3, x21, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + umulh x11, x13, x14 + subs x21, x13, x16 + eor x7, x8, x9 + cneg x17, x21, cc // cc = lo, ul, last + csetm x16, cc // cc = lo, ul, last + subs x21, x6, x15 + cneg x22, x21, cc // cc = lo, ul, last + cinv x21, x24, cc // cc = lo, ul, last + subs x20, x23, x13 + umulh x12, x3, x22 + cneg x23, x20, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + subs x20, x14, x15 + cinv x24, x24, cc // cc = lo, ul, last + mul x22, x3, x22 + cneg x3, x20, cc // cc = lo, ul, last + subs x13, x6, x14 + cneg x20, x13, cc // cc = lo, ul, last + cinv x15, x16, cc // cc = lo, ul, last + adds x13, x5, x10 + mul x4, x23, x3 + adcs x11, x11, x1 + adc x14, x2, xzr + adds x5, x13, x8 + adcs x16, x11, x13 + umulh x23, x23, x3 + adcs x3, x14, x11 + adc x1, x14, xzr + adds x10, x16, x8 + adcs x6, x3, x13 + adcs x8, x1, x11 + umulh x13, x17, x20 + eor x1, x4, x24 + adc x4, x14, xzr + cmn x24, #0x1 + adcs x1, x5, x1 + eor x16, x23, x24 + eor x11, x1, x9 + adcs x23, x10, x16 + eor x2, x22, x21 + adcs x3, x6, x24 + mul x14, x17, x20 + eor x17, x13, x15 + adcs x13, x8, x24 + adc x8, x4, x24 + cmn x21, #0x1 + adcs x6, x23, x2 + mov x16, #0xfffffffffffffffe // #-2 + eor x20, x12, x21 + adcs x20, x3, x20 + eor x23, x14, x15 + adcs x2, x13, x21 + adc x8, x8, x21 + cmn x15, #0x1 + ldp x5, x4, [sp, #144] + adcs x22, x20, x23 + eor x23, x22, x9 + adcs x17, x2, x17 + adc x22, x8, x15 + cmn x9, #0x1 + adcs x15, x7, x5 + ldp x10, x14, [sp, #176] + eor x1, x6, x9 + lsl x2, x15, #32 + adcs x8, x11, x4 + adcs x13, x1, x26 + eor x1, x22, x9 + adcs x24, x23, x27 + eor x11, x17, x9 + adcs x23, x11, x10 + adcs x7, x1, x14 + adcs x17, x9, x19 + adcs x20, x9, xzr + add x1, x2, x15 + lsr x3, x1, #32 + adcs x11, x9, xzr + adc x9, x9, xzr + subs x3, x3, x1 + sbc x6, x1, xzr + adds x24, x24, x5 + adcs x4, x23, x4 + extr x3, x6, x3, #32 + lsr x6, x6, #32 + adcs x21, x7, x26 + adcs x15, x17, x27 + adcs x7, x20, x10 + adcs x20, x11, x14 + mov x14, #0xffffffff // #4294967295 + adc x22, x9, x19 + adds x12, x6, x1 + adc x10, xzr, xzr + subs x3, x8, x3 + sbcs x12, x13, x12 + lsl x9, x3, #32 + add x3, x9, x3 + sbcs x10, x24, x10 + sbcs x24, x4, xzr + lsr x9, x3, #32 + sbcs x21, x21, xzr + sbc x1, x1, xzr + subs x9, x9, x3 + sbc x13, x3, xzr + extr x9, x13, x9, #32 + lsr x13, x13, #32 + adds x13, x13, x3 + adc x6, xzr, xzr + subs x12, x12, x9 + sbcs x17, x10, x13 + lsl x2, x12, #32 + sbcs x10, x24, x6 + add x9, x2, x12 + sbcs x6, x21, xzr + lsr x5, x9, #32 + sbcs x21, x1, xzr + sbc x13, x3, xzr + subs x8, x5, x9 + sbc x19, x9, xzr + lsr x12, x19, #32 + extr x3, x19, x8, #32 + adds x8, x12, x9 + adc x1, xzr, xzr + subs x2, x17, x3 + sbcs x12, x10, x8 + sbcs x5, x6, x1 + sbcs x3, x21, xzr + sbcs x19, x13, xzr + sbc x24, x9, xzr + adds x23, x15, x3 + adcs x8, x7, x19 + adcs x11, x20, x24 + adc x9, x22, xzr + add x24, x9, #0x1 + lsl x7, x24, #32 + subs x21, x24, x7 + sbc x10, x7, xzr + adds x6, x2, x21 + adcs x7, x12, x10 + adcs x24, x5, x24 + adcs x13, x23, xzr + adcs x8, x8, xzr + adcs x15, x11, xzr + csetm x23, cc // cc = lo, ul, last + and x11, x16, x23 + and x20, x14, x23 + adds x22, x6, x20 + eor x3, x20, x23 + adcs x5, x7, x3 + adcs x14, x24, x11 + stp x22, x5, [sp, #144] + adcs x5, x13, x23 + adcs x21, x8, x23 + stp x14, x5, [sp, #160] + adc x12, x15, x23 + stp x21, x12, [sp, #176] + ldr q1, [sp, #240] + ldp x9, x2, [sp, #240] + ldr q0, [sp, #240] + ldp x4, x6, [sp, #256] + rev64 v21.4s, v1.4s + uzp2 v28.4s, v1.4s, v1.4s + umulh x7, x9, x2 + xtn v17.2s, v1.2d + mul v27.4s, v21.4s, v0.4s + ldr q20, [sp, #272] + xtn v30.2s, v0.2d + ldr q1, [sp, #272] + uzp2 v31.4s, v0.4s, v0.4s + ldp x5, x10, [sp, #272] + umulh x8, x9, x4 + uaddlp v3.2d, v27.4s + umull v16.2d, v30.2s, v17.2s + mul x16, x9, x4 + umull v27.2d, v30.2s, v28.2s + shrn v0.2s, v20.2d, #32 + xtn v7.2s, v20.2d + shl v20.2d, v3.2d, #32 + umull v3.2d, v31.2s, v28.2s + mul x3, x2, x4 + umlal v20.2d, v30.2s, v17.2s + umull v22.2d, v7.2s, v0.2s + usra v27.2d, v16.2d, #32 + umulh x11, x2, x4 + movi v21.2d, #0xffffffff + uzp2 v28.4s, v1.4s, v1.4s + adds x15, x16, x7 + and v5.16b, v27.16b, v21.16b + adcs x3, x3, x8 + usra v3.2d, v27.2d, #32 + dup v29.2d, x6 + adcs x16, x11, xzr + mov x14, v20.d[0] + umlal v5.2d, v31.2s, v17.2s + mul x8, x9, x2 + mov x7, v20.d[1] + shl v19.2d, v22.2d, #33 + xtn v25.2s, v29.2d + rev64 v31.4s, v1.4s + lsl x13, x14, #32 + uzp2 v6.4s, v29.4s, v29.4s + umlal v19.2d, v7.2s, v7.2s + usra v3.2d, v5.2d, #32 + adds x1, x8, x8 + umulh x8, x4, x4 + add x12, x13, x14 + mul v17.4s, v31.4s, v29.4s + xtn v4.2s, v1.2d + adcs x14, x15, x15 + lsr x13, x12, #32 + adcs x15, x3, x3 + umull v31.2d, v25.2s, v28.2s + adcs x11, x16, x16 + umull v21.2d, v25.2s, v4.2s + mov x17, v3.d[0] + umull v18.2d, v6.2s, v28.2s + adc x16, x8, xzr + uaddlp v16.2d, v17.4s + movi v1.2d, #0xffffffff + subs x13, x13, x12 + usra v31.2d, v21.2d, #32 + sbc x8, x12, xzr + adds x17, x17, x1 + mul x1, x4, x4 + shl v28.2d, v16.2d, #32 + mov x3, v3.d[1] + adcs x14, x7, x14 + extr x7, x8, x13, #32 + adcs x13, x3, x15 + and v3.16b, v31.16b, v1.16b + adcs x11, x1, x11 + lsr x1, x8, #32 + umlal v3.2d, v6.2s, v4.2s + usra v18.2d, v31.2d, #32 + adc x3, x16, xzr + adds x1, x1, x12 + umlal v28.2d, v25.2s, v4.2s + adc x16, xzr, xzr + subs x15, x17, x7 + sbcs x7, x14, x1 + lsl x1, x15, #32 + sbcs x16, x13, x16 + add x8, x1, x15 + usra v18.2d, v3.2d, #32 + sbcs x14, x11, xzr + lsr x1, x8, #32 + sbcs x17, x3, xzr + sbc x11, x12, xzr + subs x13, x1, x8 + umulh x12, x4, x10 + sbc x1, x8, xzr + extr x13, x1, x13, #32 + lsr x1, x1, #32 + adds x15, x1, x8 + adc x1, xzr, xzr + subs x7, x7, x13 + sbcs x13, x16, x15 + lsl x3, x7, #32 + umulh x16, x2, x5 + sbcs x15, x14, x1 + add x7, x3, x7 + sbcs x3, x17, xzr + lsr x1, x7, #32 + sbcs x14, x11, xzr + sbc x11, x8, xzr + subs x8, x1, x7 + sbc x1, x7, xzr + extr x8, x1, x8, #32 + lsr x1, x1, #32 + adds x1, x1, x7 + adc x17, xzr, xzr + subs x13, x13, x8 + umulh x8, x9, x6 + sbcs x1, x15, x1 + sbcs x19, x3, x17 + sbcs x20, x14, xzr + mul x17, x2, x5 + sbcs x11, x11, xzr + stp x13, x1, [sp, #192] + sbc x14, x7, xzr + mul x7, x4, x10 + subs x1, x9, x2 + csetm x15, cc // cc = lo, ul, last + cneg x1, x1, cc // cc = lo, ul, last + stp x11, x14, [sp, #224] + mul x14, x9, x6 + adds x17, x8, x17 + adcs x7, x16, x7 + adc x13, x12, xzr + subs x12, x5, x6 + cneg x3, x12, cc // cc = lo, ul, last + cinv x16, x15, cc // cc = lo, ul, last + mul x8, x1, x3 + umulh x1, x1, x3 + eor x12, x8, x16 + adds x11, x17, x14 + adcs x3, x7, x17 + adcs x15, x13, x7 + adc x8, x13, xzr + adds x3, x3, x14 + adcs x15, x15, x17 + adcs x17, x8, x7 + eor x1, x1, x16 + adc x13, x13, xzr + subs x9, x9, x4 + csetm x8, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x4, x2, x4 + cneg x4, x4, cc // cc = lo, ul, last + csetm x7, cc // cc = lo, ul, last + subs x2, x10, x6 + cinv x8, x8, cc // cc = lo, ul, last + cneg x2, x2, cc // cc = lo, ul, last + cmn x16, #0x1 + adcs x11, x11, x12 + mul x12, x9, x2 + adcs x3, x3, x1 + adcs x15, x15, x16 + umulh x9, x9, x2 + adcs x17, x17, x16 + adc x13, x13, x16 + subs x1, x10, x5 + cinv x2, x7, cc // cc = lo, ul, last + cneg x1, x1, cc // cc = lo, ul, last + eor x9, x9, x8 + cmn x8, #0x1 + eor x7, x12, x8 + mul x12, x4, x1 + adcs x3, x3, x7 + adcs x7, x15, x9 + adcs x15, x17, x8 + umulh x4, x4, x1 + adc x8, x13, x8 + cmn x2, #0x1 + eor x1, x12, x2 + adcs x1, x7, x1 + ldp x7, x16, [sp, #192] + eor x12, x4, x2 + adcs x4, x15, x12 + ldp x15, x12, [sp, #224] + adc x8, x8, x2 + adds x13, x14, x14 + umulh x14, x5, x10 + adcs x2, x11, x11 + adcs x3, x3, x3 + adcs x1, x1, x1 + adcs x4, x4, x4 + adcs x11, x8, x8 + adc x8, xzr, xzr + adds x13, x13, x7 + adcs x2, x2, x16 + mul x16, x5, x10 + adcs x3, x3, x19 + adcs x1, x1, x20 + umulh x5, x5, x5 + lsl x9, x13, #32 + add x9, x9, x13 + adcs x4, x4, x15 + mov x13, v28.d[1] + adcs x15, x11, x12 + lsr x7, x9, #32 + adc x11, x8, xzr + subs x7, x7, x9 + umulh x10, x10, x10 + sbc x17, x9, xzr + extr x7, x17, x7, #32 + lsr x17, x17, #32 + adds x17, x17, x9 + adc x12, xzr, xzr + subs x8, x2, x7 + sbcs x17, x3, x17 + lsl x7, x8, #32 + sbcs x2, x1, x12 + add x3, x7, x8 + sbcs x12, x4, xzr + lsr x1, x3, #32 + sbcs x7, x15, xzr + sbc x15, x9, xzr + subs x1, x1, x3 + sbc x4, x3, xzr + lsr x9, x4, #32 + extr x8, x4, x1, #32 + adds x9, x9, x3 + adc x4, xzr, xzr + subs x1, x17, x8 + lsl x17, x1, #32 + sbcs x8, x2, x9 + sbcs x9, x12, x4 + add x17, x17, x1 + mov x1, v18.d[1] + lsr x2, x17, #32 + sbcs x7, x7, xzr + mov x12, v18.d[0] + sbcs x15, x15, xzr + sbc x3, x3, xzr + subs x4, x2, x17 + sbc x2, x17, xzr + adds x12, x13, x12 + adcs x16, x16, x1 + lsr x13, x2, #32 + extr x1, x2, x4, #32 + adc x2, x14, xzr + adds x4, x13, x17 + mul x13, x6, x6 + adc x14, xzr, xzr + subs x1, x8, x1 + sbcs x4, x9, x4 + mov x9, v28.d[0] + sbcs x7, x7, x14 + sbcs x8, x15, xzr + sbcs x3, x3, xzr + sbc x14, x17, xzr + adds x17, x9, x9 + adcs x12, x12, x12 + mov x15, v19.d[0] + adcs x9, x16, x16 + umulh x6, x6, x6 + adcs x16, x2, x2 + adc x2, xzr, xzr + adds x11, x11, x8 + adcs x3, x3, xzr + adcs x14, x14, xzr + adcs x8, xzr, xzr + adds x13, x1, x13 + mov x1, v19.d[1] + adcs x6, x4, x6 + mov x4, #0xffffffff // #4294967295 + adcs x15, x7, x15 + adcs x7, x11, x5 + adcs x1, x3, x1 + adcs x14, x14, x10 + adc x11, x8, xzr + adds x6, x6, x17 + adcs x8, x15, x12 + adcs x3, x7, x9 + adcs x15, x1, x16 + mov x16, #0xffffffff00000001 // #-4294967295 + adcs x14, x14, x2 + mov x2, #0x1 // #1 + adc x17, x11, xzr + cmn x13, x16 + adcs xzr, x6, x4 + adcs xzr, x8, x2 + adcs xzr, x3, xzr + adcs xzr, x15, xzr + adcs xzr, x14, xzr + adc x1, x17, xzr + neg x9, x1 + and x1, x16, x9 + adds x19, x13, x1 + and x13, x4, x9 + adcs x20, x6, x13 + and x1, x2, x9 + adcs x7, x8, x1 + adcs x11, x3, xzr + adcs x2, x15, xzr + stp x7, x11, [sp, #208] + adc x17, x14, xzr + stp x2, x17, [sp, #224] + ldp x0, x1, [sp, #288] + mov x6, #0xffffffff // #4294967295 + subs x6, x6, x0 + mov x7, #0xffffffff00000000 // #-4294967296 + sbcs x7, x7, x1 + ldp x0, x1, [sp, #304] + mov x8, #0xfffffffffffffffe // #-2 + sbcs x8, x8, x0 + mov x13, #0xffffffffffffffff // #-1 + sbcs x9, x13, x1 + ldp x0, x1, [sp, #320] + sbcs x10, x13, x0 + sbc x11, x13, x1 + mov x12, #0x9 // #9 + mul x0, x12, x6 + mul x1, x12, x7 + mul x2, x12, x8 + mul x3, x12, x9 + mul x4, x12, x10 + mul x5, x12, x11 + umulh x6, x12, x6 + umulh x7, x12, x7 + umulh x8, x12, x8 + umulh x9, x12, x9 + umulh x10, x12, x10 + umulh x12, x12, x11 + adds x1, x1, x6 + adcs x2, x2, x7 + adcs x3, x3, x8 + adcs x4, x4, x9 + adcs x5, x5, x10 + mov x6, #0x1 // #1 + adc x6, x12, x6 + ldp x8, x9, [sp, #144] + ldp x10, x11, [sp, #160] + ldp x12, x13, [sp, #176] + mov x14, #0xc // #12 + mul x15, x14, x8 + umulh x8, x14, x8 + adds x0, x0, x15 + mul x15, x14, x9 + umulh x9, x14, x9 + adcs x1, x1, x15 + mul x15, x14, x10 + umulh x10, x14, x10 + adcs x2, x2, x15 + mul x15, x14, x11 + umulh x11, x14, x11 + adcs x3, x3, x15 + mul x15, x14, x12 + umulh x12, x14, x12 + adcs x4, x4, x15 + mul x15, x14, x13 + umulh x13, x14, x13 + adcs x5, x5, x15 + adc x6, x6, xzr + adds x1, x1, x8 + adcs x2, x2, x9 + adcs x3, x3, x10 + adcs x4, x4, x11 + adcs x5, x5, x12 + adcs x6, x6, x13 + lsl x7, x6, #32 + subs x8, x6, x7 + sbc x7, x7, xzr + adds x0, x0, x8 + adcs x1, x1, x7 + adcs x2, x2, x6 + adcs x3, x3, xzr + adcs x4, x4, xzr + adcs x5, x5, xzr + csetm x6, cc // cc = lo, ul, last + mov x7, #0xffffffff // #4294967295 + and x7, x7, x6 + adds x0, x0, x7 + eor x7, x7, x6 + adcs x1, x1, x7 + mov x7, #0xfffffffffffffffe // #-2 + and x7, x7, x6 + adcs x2, x2, x7 + adcs x3, x3, x6 + adcs x4, x4, x6 + adc x5, x5, x6 + stp x0, x1, [sp, #288] + stp x2, x3, [sp, #304] + stp x4, x5, [sp, #320] + mov x2, sp + ldp x4, x3, [x2] + subs x5, x19, x4 + sbcs x6, x20, x3 + ldp x7, x8, [sp, #208] + ldp x4, x3, [x2, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [sp, #224] + ldp x4, x3, [x2, #32] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + csetm x3, cc // cc = lo, ul, last + mov x4, #0xffffffff // #4294967295 + and x4, x4, x3 + adds x5, x5, x4 + eor x4, x4, x3 + adcs x6, x6, x4 + mov x4, #0xfffffffffffffffe // #-2 + and x4, x4, x3 + adcs x7, x7, x4 + adcs x8, x8, x3 + adcs x9, x9, x3 + adc x10, x10, x3 + stp x5, x6, [sp, #240] + stp x7, x8, [sp, #256] + stp x9, x10, [sp, #272] + ldr q1, [sp, #48] + ldp x9, x2, [sp, #48] + ldr q0, [sp, #48] + ldp x4, x6, [sp, #64] + rev64 v21.4s, v1.4s + uzp2 v28.4s, v1.4s, v1.4s + umulh x7, x9, x2 + xtn v17.2s, v1.2d + mul v27.4s, v21.4s, v0.4s + ldr q20, [sp, #80] + xtn v30.2s, v0.2d + ldr q1, [sp, #80] + uzp2 v31.4s, v0.4s, v0.4s + ldp x5, x10, [sp, #80] + umulh x8, x9, x4 + uaddlp v3.2d, v27.4s + umull v16.2d, v30.2s, v17.2s + mul x16, x9, x4 + umull v27.2d, v30.2s, v28.2s + shrn v0.2s, v20.2d, #32 + xtn v7.2s, v20.2d + shl v20.2d, v3.2d, #32 + umull v3.2d, v31.2s, v28.2s + mul x3, x2, x4 + umlal v20.2d, v30.2s, v17.2s + umull v22.2d, v7.2s, v0.2s + usra v27.2d, v16.2d, #32 + umulh x11, x2, x4 + movi v21.2d, #0xffffffff + uzp2 v28.4s, v1.4s, v1.4s + adds x15, x16, x7 + and v5.16b, v27.16b, v21.16b + adcs x3, x3, x8 + usra v3.2d, v27.2d, #32 + dup v29.2d, x6 + adcs x16, x11, xzr + mov x14, v20.d[0] + umlal v5.2d, v31.2s, v17.2s + mul x8, x9, x2 + mov x7, v20.d[1] + shl v19.2d, v22.2d, #33 + xtn v25.2s, v29.2d + rev64 v31.4s, v1.4s + lsl x13, x14, #32 + uzp2 v6.4s, v29.4s, v29.4s + umlal v19.2d, v7.2s, v7.2s + usra v3.2d, v5.2d, #32 + adds x1, x8, x8 + umulh x8, x4, x4 + add x12, x13, x14 + mul v17.4s, v31.4s, v29.4s + xtn v4.2s, v1.2d + adcs x14, x15, x15 + lsr x13, x12, #32 + adcs x15, x3, x3 + umull v31.2d, v25.2s, v28.2s + adcs x11, x16, x16 + umull v21.2d, v25.2s, v4.2s + mov x17, v3.d[0] + umull v18.2d, v6.2s, v28.2s + adc x16, x8, xzr + uaddlp v16.2d, v17.4s + movi v1.2d, #0xffffffff + subs x13, x13, x12 + usra v31.2d, v21.2d, #32 + sbc x8, x12, xzr + adds x17, x17, x1 + mul x1, x4, x4 + shl v28.2d, v16.2d, #32 + mov x3, v3.d[1] + adcs x14, x7, x14 + extr x7, x8, x13, #32 + adcs x13, x3, x15 + and v3.16b, v31.16b, v1.16b + adcs x11, x1, x11 + lsr x1, x8, #32 + umlal v3.2d, v6.2s, v4.2s + usra v18.2d, v31.2d, #32 + adc x3, x16, xzr + adds x1, x1, x12 + umlal v28.2d, v25.2s, v4.2s + adc x16, xzr, xzr + subs x15, x17, x7 + sbcs x7, x14, x1 + lsl x1, x15, #32 + sbcs x16, x13, x16 + add x8, x1, x15 + usra v18.2d, v3.2d, #32 + sbcs x14, x11, xzr + lsr x1, x8, #32 + sbcs x17, x3, xzr + sbc x11, x12, xzr + subs x13, x1, x8 + umulh x12, x4, x10 + sbc x1, x8, xzr + extr x13, x1, x13, #32 + lsr x1, x1, #32 + adds x15, x1, x8 + adc x1, xzr, xzr + subs x7, x7, x13 + sbcs x13, x16, x15 + lsl x3, x7, #32 + umulh x16, x2, x5 + sbcs x15, x14, x1 + add x7, x3, x7 + sbcs x3, x17, xzr + lsr x1, x7, #32 + sbcs x14, x11, xzr + sbc x11, x8, xzr + subs x8, x1, x7 + sbc x1, x7, xzr + extr x8, x1, x8, #32 + lsr x1, x1, #32 + adds x1, x1, x7 + adc x17, xzr, xzr + subs x13, x13, x8 + umulh x8, x9, x6 + sbcs x1, x15, x1 + sbcs x19, x3, x17 + sbcs x20, x14, xzr + mul x17, x2, x5 + sbcs x11, x11, xzr + stp x13, x1, [sp, #192] + sbc x14, x7, xzr + mul x7, x4, x10 + subs x1, x9, x2 + csetm x15, cc // cc = lo, ul, last + cneg x1, x1, cc // cc = lo, ul, last + stp x11, x14, [sp, #224] + mul x14, x9, x6 + adds x17, x8, x17 + adcs x7, x16, x7 + adc x13, x12, xzr + subs x12, x5, x6 + cneg x3, x12, cc // cc = lo, ul, last + cinv x16, x15, cc // cc = lo, ul, last + mul x8, x1, x3 + umulh x1, x1, x3 + eor x12, x8, x16 + adds x11, x17, x14 + adcs x3, x7, x17 + adcs x15, x13, x7 + adc x8, x13, xzr + adds x3, x3, x14 + adcs x15, x15, x17 + adcs x17, x8, x7 + eor x1, x1, x16 + adc x13, x13, xzr + subs x9, x9, x4 + csetm x8, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x4, x2, x4 + cneg x4, x4, cc // cc = lo, ul, last + csetm x7, cc // cc = lo, ul, last + subs x2, x10, x6 + cinv x8, x8, cc // cc = lo, ul, last + cneg x2, x2, cc // cc = lo, ul, last + cmn x16, #0x1 + adcs x11, x11, x12 + mul x12, x9, x2 + adcs x3, x3, x1 + adcs x15, x15, x16 + umulh x9, x9, x2 + adcs x17, x17, x16 + adc x13, x13, x16 + subs x1, x10, x5 + cinv x2, x7, cc // cc = lo, ul, last + cneg x1, x1, cc // cc = lo, ul, last + eor x9, x9, x8 + cmn x8, #0x1 + eor x7, x12, x8 + mul x12, x4, x1 + adcs x3, x3, x7 + adcs x7, x15, x9 + adcs x15, x17, x8 + umulh x4, x4, x1 + adc x8, x13, x8 + cmn x2, #0x1 + eor x1, x12, x2 + adcs x1, x7, x1 + ldp x7, x16, [sp, #192] + eor x12, x4, x2 + adcs x4, x15, x12 + ldp x15, x12, [sp, #224] + adc x8, x8, x2 + adds x13, x14, x14 + umulh x14, x5, x10 + adcs x2, x11, x11 + adcs x3, x3, x3 + adcs x1, x1, x1 + adcs x4, x4, x4 + adcs x11, x8, x8 + adc x8, xzr, xzr + adds x13, x13, x7 + adcs x2, x2, x16 + mul x16, x5, x10 + adcs x3, x3, x19 + adcs x1, x1, x20 + umulh x5, x5, x5 + lsl x9, x13, #32 + add x9, x9, x13 + adcs x4, x4, x15 + mov x13, v28.d[1] + adcs x15, x11, x12 + lsr x7, x9, #32 + adc x11, x8, xzr + subs x7, x7, x9 + umulh x10, x10, x10 + sbc x17, x9, xzr + extr x7, x17, x7, #32 + lsr x17, x17, #32 + adds x17, x17, x9 + adc x12, xzr, xzr + subs x8, x2, x7 + sbcs x17, x3, x17 + lsl x7, x8, #32 + sbcs x2, x1, x12 + add x3, x7, x8 + sbcs x12, x4, xzr + lsr x1, x3, #32 + sbcs x7, x15, xzr + sbc x15, x9, xzr + subs x1, x1, x3 + sbc x4, x3, xzr + lsr x9, x4, #32 + extr x8, x4, x1, #32 + adds x9, x9, x3 + adc x4, xzr, xzr + subs x1, x17, x8 + lsl x17, x1, #32 + sbcs x8, x2, x9 + sbcs x9, x12, x4 + add x17, x17, x1 + mov x1, v18.d[1] + lsr x2, x17, #32 + sbcs x7, x7, xzr + mov x12, v18.d[0] + sbcs x15, x15, xzr + sbc x3, x3, xzr + subs x4, x2, x17 + sbc x2, x17, xzr + adds x12, x13, x12 + adcs x16, x16, x1 + lsr x13, x2, #32 + extr x1, x2, x4, #32 + adc x2, x14, xzr + adds x4, x13, x17 + mul x13, x6, x6 + adc x14, xzr, xzr + subs x1, x8, x1 + sbcs x4, x9, x4 + mov x9, v28.d[0] + sbcs x7, x7, x14 + sbcs x8, x15, xzr + sbcs x3, x3, xzr + sbc x14, x17, xzr + adds x17, x9, x9 + adcs x12, x12, x12 + mov x15, v19.d[0] + adcs x9, x16, x16 + umulh x6, x6, x6 + adcs x16, x2, x2 + adc x2, xzr, xzr + adds x11, x11, x8 + adcs x3, x3, xzr + adcs x14, x14, xzr + adcs x8, xzr, xzr + adds x13, x1, x13 + mov x1, v19.d[1] + adcs x6, x4, x6 + mov x4, #0xffffffff // #4294967295 + adcs x15, x7, x15 + adcs x7, x11, x5 + adcs x1, x3, x1 + adcs x14, x14, x10 + adc x11, x8, xzr + adds x6, x6, x17 + adcs x8, x15, x12 + adcs x3, x7, x9 + adcs x15, x1, x16 + mov x16, #0xffffffff00000001 // #-4294967295 + adcs x14, x14, x2 + mov x2, #0x1 // #1 + adc x17, x11, xzr + cmn x13, x16 + adcs xzr, x6, x4 + adcs xzr, x8, x2 + adcs xzr, x3, xzr + adcs xzr, x15, xzr + adcs xzr, x14, xzr + adc x1, x17, xzr + neg x9, x1 + and x1, x16, x9 + adds x11, x13, x1 + and x13, x4, x9 + adcs x5, x6, x13 + and x1, x2, x9 + adcs x7, x8, x1 + stp x11, x5, [sp, #192] + adcs x11, x3, xzr + adcs x2, x15, xzr + stp x7, x11, [sp, #208] + adc x17, x14, xzr + stp x2, x17, [sp, #224] + ldp x5, x6, [sp, #240] + ldp x4, x3, [sp, #48] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #256] + ldp x4, x3, [sp, #64] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [sp, #272] + ldp x4, x3, [sp, #80] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + csetm x3, cc // cc = lo, ul, last + mov x4, #0xffffffff // #4294967295 + and x4, x4, x3 + adds x5, x5, x4 + eor x4, x4, x3 + adcs x6, x6, x4 + mov x4, #0xfffffffffffffffe // #-2 + and x4, x4, x3 + adcs x7, x7, x4 + adcs x8, x8, x3 + adcs x9, x9, x3 + adc x10, x10, x3 + stp x5, x6, [x25, #96] + stp x7, x8, [x25, #112] + stp x9, x10, [x25, #128] + ldr q3, [sp, #288] + ldr q25, [sp, #96] + ldp x13, x23, [sp, #96] + ldp x3, x21, [sp, #288] + rev64 v23.4s, v25.4s + uzp1 v17.4s, v25.4s, v3.4s + umulh x15, x3, x13 + mul v6.4s, v23.4s, v3.4s + uzp1 v3.4s, v3.4s, v3.4s + ldr q27, [sp, #128] + ldp x8, x24, [sp, #304] + subs x6, x3, x21 + ldr q0, [sp, #320] + movi v23.2d, #0xffffffff + csetm x10, cc // cc = lo, ul, last + umulh x19, x21, x23 + rev64 v4.4s, v27.4s + uzp2 v25.4s, v27.4s, v27.4s + cneg x4, x6, cc // cc = lo, ul, last + subs x7, x23, x13 + xtn v22.2s, v0.2d + xtn v24.2s, v27.2d + cneg x20, x7, cc // cc = lo, ul, last + ldp x6, x14, [sp, #112] + mul v27.4s, v4.4s, v0.4s + uaddlp v20.2d, v6.4s + cinv x5, x10, cc // cc = lo, ul, last + mul x16, x4, x20 + uzp2 v6.4s, v0.4s, v0.4s + umull v21.2d, v22.2s, v25.2s + shl v0.2d, v20.2d, #32 + umlal v0.2d, v3.2s, v17.2s + mul x22, x8, x6 + umull v1.2d, v6.2s, v25.2s + subs x12, x3, x8 + umull v20.2d, v22.2s, v24.2s + cneg x17, x12, cc // cc = lo, ul, last + umulh x9, x8, x6 + mov x12, v0.d[1] + eor x11, x16, x5 + mov x7, v0.d[0] + csetm x10, cc // cc = lo, ul, last + usra v21.2d, v20.2d, #32 + adds x15, x15, x12 + adcs x12, x19, x22 + umulh x20, x4, x20 + adc x19, x9, xzr + usra v1.2d, v21.2d, #32 + adds x22, x15, x7 + and v26.16b, v21.16b, v23.16b + adcs x16, x12, x15 + uaddlp v25.2d, v27.4s + adcs x9, x19, x12 + umlal v26.2d, v6.2s, v24.2s + adc x4, x19, xzr + adds x16, x16, x7 + shl v27.2d, v25.2d, #32 + adcs x9, x9, x15 + adcs x4, x4, x12 + eor x12, x20, x5 + adc x15, x19, xzr + subs x20, x6, x13 + cneg x20, x20, cc // cc = lo, ul, last + cinv x10, x10, cc // cc = lo, ul, last + cmn x5, #0x1 + mul x19, x17, x20 + adcs x11, x22, x11 + adcs x12, x16, x12 + adcs x9, x9, x5 + umulh x17, x17, x20 + adcs x22, x4, x5 + adc x5, x15, x5 + subs x16, x21, x8 + cneg x20, x16, cc // cc = lo, ul, last + eor x19, x19, x10 + csetm x4, cc // cc = lo, ul, last + subs x16, x6, x23 + cneg x16, x16, cc // cc = lo, ul, last + umlal v27.2d, v22.2s, v24.2s + mul x15, x20, x16 + cinv x4, x4, cc // cc = lo, ul, last + cmn x10, #0x1 + usra v1.2d, v26.2d, #32 + adcs x19, x12, x19 + eor x17, x17, x10 + adcs x9, x9, x17 + adcs x22, x22, x10 + lsl x12, x7, #32 + umulh x20, x20, x16 + eor x16, x15, x4 + ldp x15, x17, [sp, #128] + add x2, x12, x7 + adc x7, x5, x10 + ldp x5, x10, [sp, #320] + lsr x1, x2, #32 + eor x12, x20, x4 + subs x1, x1, x2 + sbc x20, x2, xzr + cmn x4, #0x1 + adcs x9, x9, x16 + extr x1, x20, x1, #32 + lsr x20, x20, #32 + adcs x22, x22, x12 + adc x16, x7, x4 + adds x12, x20, x2 + umulh x7, x24, x14 + adc x4, xzr, xzr + subs x1, x11, x1 + sbcs x20, x19, x12 + sbcs x12, x9, x4 + lsl x9, x1, #32 + add x1, x9, x1 + sbcs x9, x22, xzr + mul x22, x24, x14 + sbcs x16, x16, xzr + lsr x4, x1, #32 + sbc x19, x2, xzr + subs x4, x4, x1 + sbc x11, x1, xzr + extr x2, x11, x4, #32 + lsr x4, x11, #32 + adds x4, x4, x1 + adc x11, xzr, xzr + subs x2, x20, x2 + sbcs x4, x12, x4 + sbcs x20, x9, x11 + lsl x12, x2, #32 + add x2, x12, x2 + sbcs x9, x16, xzr + lsr x11, x2, #32 + sbcs x19, x19, xzr + sbc x1, x1, xzr + subs x16, x11, x2 + sbc x12, x2, xzr + extr x16, x12, x16, #32 + lsr x12, x12, #32 + adds x11, x12, x2 + adc x12, xzr, xzr + subs x26, x4, x16 + mov x4, v27.d[0] + sbcs x27, x20, x11 + sbcs x20, x9, x12 + sbcs x11, x19, xzr + sbcs x9, x1, xzr + stp x20, x11, [sp, #256] + mov x1, v1.d[0] + sbc x20, x2, xzr + subs x12, x24, x5 + mov x11, v27.d[1] + cneg x16, x12, cc // cc = lo, ul, last + csetm x2, cc // cc = lo, ul, last + subs x19, x15, x14 + mov x12, v1.d[1] + cinv x2, x2, cc // cc = lo, ul, last + cneg x19, x19, cc // cc = lo, ul, last + stp x9, x20, [sp, #272] + mul x9, x16, x19 + adds x4, x7, x4 + adcs x11, x1, x11 + adc x1, x12, xzr + adds x20, x4, x22 + umulh x19, x16, x19 + adcs x7, x11, x4 + eor x16, x9, x2 + adcs x9, x1, x11 + adc x12, x1, xzr + adds x7, x7, x22 + adcs x4, x9, x4 + adcs x9, x12, x11 + adc x12, x1, xzr + cmn x2, #0x1 + eor x1, x19, x2 + adcs x11, x20, x16 + adcs x19, x7, x1 + adcs x1, x4, x2 + adcs x20, x9, x2 + adc x2, x12, x2 + subs x12, x24, x10 + cneg x16, x12, cc // cc = lo, ul, last + csetm x12, cc // cc = lo, ul, last + subs x9, x17, x14 + cinv x12, x12, cc // cc = lo, ul, last + cneg x9, x9, cc // cc = lo, ul, last + subs x3, x24, x3 + sbcs x21, x5, x21 + mul x24, x16, x9 + sbcs x4, x10, x8 + ngc x8, xzr + subs x10, x5, x10 + eor x5, x24, x12 + csetm x7, cc // cc = lo, ul, last + cneg x24, x10, cc // cc = lo, ul, last + subs x10, x17, x15 + cinv x7, x7, cc // cc = lo, ul, last + cneg x10, x10, cc // cc = lo, ul, last + subs x14, x13, x14 + sbcs x15, x23, x15 + eor x13, x21, x8 + mul x23, x24, x10 + sbcs x17, x6, x17 + eor x6, x3, x8 + ngc x21, xzr + umulh x9, x16, x9 + cmn x8, #0x1 + eor x3, x23, x7 + adcs x23, x6, xzr + adcs x13, x13, xzr + eor x16, x4, x8 + adc x16, x16, xzr + eor x4, x17, x21 + umulh x17, x24, x10 + cmn x21, #0x1 + eor x24, x14, x21 + eor x6, x15, x21 + adcs x15, x24, xzr + adcs x14, x6, xzr + adc x6, x4, xzr + cmn x12, #0x1 + eor x4, x9, x12 + adcs x19, x19, x5 + umulh x5, x23, x15 + adcs x1, x1, x4 + adcs x10, x20, x12 + eor x4, x17, x7 + adc x2, x2, x12 + cmn x7, #0x1 + adcs x12, x1, x3 + ldp x17, x24, [sp, #256] + mul x1, x16, x6 + adcs x3, x10, x4 + adc x2, x2, x7 + ldp x7, x4, [sp, #272] + adds x20, x22, x26 + mul x10, x13, x14 + adcs x11, x11, x27 + eor x9, x8, x21 + adcs x26, x19, x17 + stp x20, x11, [sp, #240] + adcs x27, x12, x24 + mul x8, x23, x15 + adcs x3, x3, x7 + adcs x12, x2, x4 + adc x19, xzr, xzr + subs x21, x23, x16 + umulh x2, x16, x6 + stp x3, x12, [sp, #272] + cneg x3, x21, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + umulh x11, x13, x14 + subs x21, x13, x16 + eor x7, x8, x9 + cneg x17, x21, cc // cc = lo, ul, last + csetm x16, cc // cc = lo, ul, last + subs x21, x6, x15 + cneg x22, x21, cc // cc = lo, ul, last + cinv x21, x24, cc // cc = lo, ul, last + subs x20, x23, x13 + umulh x12, x3, x22 + cneg x23, x20, cc // cc = lo, ul, last + csetm x24, cc // cc = lo, ul, last + subs x20, x14, x15 + cinv x24, x24, cc // cc = lo, ul, last + mul x22, x3, x22 + cneg x3, x20, cc // cc = lo, ul, last + subs x13, x6, x14 + cneg x20, x13, cc // cc = lo, ul, last + cinv x15, x16, cc // cc = lo, ul, last + adds x13, x5, x10 + mul x4, x23, x3 + adcs x11, x11, x1 + adc x14, x2, xzr + adds x5, x13, x8 + adcs x16, x11, x13 + umulh x23, x23, x3 + adcs x3, x14, x11 + adc x1, x14, xzr + adds x10, x16, x8 + adcs x6, x3, x13 + adcs x8, x1, x11 + umulh x13, x17, x20 + eor x1, x4, x24 + adc x4, x14, xzr + cmn x24, #0x1 + adcs x1, x5, x1 + eor x16, x23, x24 + eor x11, x1, x9 + adcs x23, x10, x16 + eor x2, x22, x21 + adcs x3, x6, x24 + mul x14, x17, x20 + eor x17, x13, x15 + adcs x13, x8, x24 + adc x8, x4, x24 + cmn x21, #0x1 + adcs x6, x23, x2 + mov x16, #0xfffffffffffffffe // #-2 + eor x20, x12, x21 + adcs x20, x3, x20 + eor x23, x14, x15 + adcs x2, x13, x21 + adc x8, x8, x21 + cmn x15, #0x1 + ldp x5, x4, [sp, #240] + adcs x22, x20, x23 + eor x23, x22, x9 + adcs x17, x2, x17 + adc x22, x8, x15 + cmn x9, #0x1 + adcs x15, x7, x5 + ldp x10, x14, [sp, #272] + eor x1, x6, x9 + lsl x2, x15, #32 + adcs x8, x11, x4 + adcs x13, x1, x26 + eor x1, x22, x9 + adcs x24, x23, x27 + eor x11, x17, x9 + adcs x23, x11, x10 + adcs x7, x1, x14 + adcs x17, x9, x19 + adcs x20, x9, xzr + add x1, x2, x15 + lsr x3, x1, #32 + adcs x11, x9, xzr + adc x9, x9, xzr + subs x3, x3, x1 + sbc x6, x1, xzr + adds x24, x24, x5 + adcs x4, x23, x4 + extr x3, x6, x3, #32 + lsr x6, x6, #32 + adcs x21, x7, x26 + adcs x15, x17, x27 + adcs x7, x20, x10 + adcs x20, x11, x14 + mov x14, #0xffffffff // #4294967295 + adc x22, x9, x19 + adds x12, x6, x1 + adc x10, xzr, xzr + subs x3, x8, x3 + sbcs x12, x13, x12 + lsl x9, x3, #32 + add x3, x9, x3 + sbcs x10, x24, x10 + sbcs x24, x4, xzr + lsr x9, x3, #32 + sbcs x21, x21, xzr + sbc x1, x1, xzr + subs x9, x9, x3 + sbc x13, x3, xzr + extr x9, x13, x9, #32 + lsr x13, x13, #32 + adds x13, x13, x3 + adc x6, xzr, xzr + subs x12, x12, x9 + sbcs x17, x10, x13 + lsl x2, x12, #32 + sbcs x10, x24, x6 + add x9, x2, x12 + sbcs x6, x21, xzr + lsr x5, x9, #32 + sbcs x21, x1, xzr + sbc x13, x3, xzr + subs x8, x5, x9 + sbc x19, x9, xzr + lsr x12, x19, #32 + extr x3, x19, x8, #32 + adds x8, x12, x9 + adc x1, xzr, xzr + subs x2, x17, x3 + sbcs x12, x10, x8 + sbcs x5, x6, x1 + sbcs x3, x21, xzr + sbcs x19, x13, xzr + sbc x24, x9, xzr + adds x23, x15, x3 + adcs x8, x7, x19 + adcs x11, x20, x24 + adc x9, x22, xzr + add x24, x9, #0x1 + lsl x7, x24, #32 + subs x21, x24, x7 + sbc x10, x7, xzr + adds x6, x2, x21 + adcs x7, x12, x10 + adcs x24, x5, x24 + adcs x13, x23, xzr + adcs x8, x8, xzr + adcs x15, x11, xzr + csetm x23, cc // cc = lo, ul, last + and x11, x16, x23 + and x20, x14, x23 + adds x22, x6, x20 + eor x3, x20, x23 + adcs x5, x7, x3 + adcs x14, x24, x11 + stp x22, x5, [sp, #240] + adcs x5, x13, x23 + adcs x12, x8, x23 + stp x14, x5, [sp, #256] + adc x19, x15, x23 + ldp x1, x2, [sp, #144] + ldp x3, x4, [sp, #160] + ldp x5, x6, [sp, #176] + lsl x0, x1, #2 + ldp x7, x8, [sp, #288] + subs x0, x0, x7 + extr x1, x2, x1, #62 + sbcs x1, x1, x8 + ldp x7, x8, [sp, #304] + extr x2, x3, x2, #62 + sbcs x2, x2, x7 + extr x3, x4, x3, #62 + sbcs x3, x3, x8 + extr x4, x5, x4, #62 + ldp x7, x8, [sp, #320] + sbcs x4, x4, x7 + extr x5, x6, x5, #62 + sbcs x5, x5, x8 + lsr x6, x6, #62 + adc x6, x6, xzr + lsl x7, x6, #32 + subs x8, x6, x7 + sbc x7, x7, xzr + adds x0, x0, x8 + adcs x1, x1, x7 + adcs x2, x2, x6 + adcs x3, x3, xzr + adcs x4, x4, xzr + adcs x5, x5, xzr + csetm x8, cc // cc = lo, ul, last + mov x9, #0xffffffff // #4294967295 + and x9, x9, x8 + adds x0, x0, x9 + eor x9, x9, x8 + adcs x1, x1, x9 + mov x9, #0xfffffffffffffffe // #-2 + and x9, x9, x8 + adcs x2, x2, x9 + adcs x3, x3, x8 + adcs x4, x4, x8 + adc x5, x5, x8 + stp x0, x1, [x25] + stp x2, x3, [x25, #16] + stp x4, x5, [x25, #32] + ldp x0, x1, [sp, #192] + mov x6, #0xffffffff // #4294967295 + subs x6, x6, x0 + mov x7, #0xffffffff00000000 // #-4294967296 + sbcs x7, x7, x1 + ldp x0, x1, [sp, #208] + mov x8, #0xfffffffffffffffe // #-2 + sbcs x8, x8, x0 + mov x13, #0xffffffffffffffff // #-1 + sbcs x9, x13, x1 + ldp x0, x1, [sp, #224] + sbcs x10, x13, x0 + sbc x11, x13, x1 + lsl x0, x6, #3 + extr x1, x7, x6, #61 + extr x2, x8, x7, #61 + extr x3, x9, x8, #61 + extr x4, x10, x9, #61 + extr x5, x11, x10, #61 + lsr x6, x11, #61 + add x6, x6, #0x1 + ldp x8, x9, [sp, #240] + ldp x10, x11, [sp, #256] + mov x14, #0x3 // #3 + mul x15, x14, x8 + umulh x8, x14, x8 + adds x0, x0, x15 + mul x15, x14, x9 + umulh x9, x14, x9 + adcs x1, x1, x15 + mul x15, x14, x10 + umulh x10, x14, x10 + adcs x2, x2, x15 + mul x15, x14, x11 + umulh x11, x14, x11 + adcs x3, x3, x15 + mul x15, x14, x12 + umulh x12, x14, x12 + adcs x4, x4, x15 + mul x15, x14, x19 + umulh x13, x14, x19 + adcs x5, x5, x15 + adc x6, x6, xzr + adds x1, x1, x8 + adcs x2, x2, x9 + adcs x3, x3, x10 + adcs x4, x4, x11 + adcs x5, x5, x12 + adcs x6, x6, x13 + lsl x7, x6, #32 + subs x8, x6, x7 + sbc x7, x7, xzr + adds x0, x0, x8 + adcs x1, x1, x7 + adcs x2, x2, x6 + adcs x3, x3, xzr + adcs x4, x4, xzr + adcs x5, x5, xzr + csetm x6, cc // cc = lo, ul, last + mov x7, #0xffffffff // #4294967295 + and x7, x7, x6 + adds x0, x0, x7 + eor x7, x7, x6 + adcs x1, x1, x7 + mov x7, #0xfffffffffffffffe // #-2 + and x7, x7, x6 + adcs x2, x2, x7 + adcs x3, x3, x6 + adcs x4, x4, x6 + adc x5, x5, x6 + stp x0, x1, [x25, #48] + stp x2, x3, [x25, #64] + stp x4, x5, [x25, #80] + ldp x19, x20, [sp, #336] + ldp x21, x22, [sp, #352] + ldp x23, x24, [sp, #368] + ldp x25, x26, [sp, #384] + ldp x27, xzr, [sp, #400] + CFI_INC_SP(416) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp384_montjscalarmul_p384_montjdouble) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/arm/p384_montjscalarmul_alt.S b/cbits/s2n/arm/p384_montjscalarmul_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/p384_montjscalarmul_alt.S @@ -0,0 +1,7155 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Montgomery-Jacobian form scalar multiplication for P-384 +// Input scalar[6], point[18]; output res[18] +// +// extern void p384_montjscalarmul_alt +// (uint64_t res[static 18], +// const uint64_t scalar[static 6], +// const uint64_t point[static 18]); +// +// This function is a variant of its affine point version p384_scalarmul_alt. +// Here, input and output points are assumed to be in Jacobian form with +// their coordinates in the Montgomery domain. Thus, if priming indicates +// Montgomery form, x' = (2^384 * x) mod p_384 etc., each point argument +// is a triple (x',y',z') representing the affine point (x/z^2,y/z^3) when +// z' is nonzero or the point at infinity (group identity) if z' = 0. +// +// Given scalar = n and point = P, assumed to be on the NIST elliptic +// curve P-384, returns a representation of n * P. If the result is the +// point at infinity (either because the input point was or because the +// scalar was a multiple of p_384) then the output is guaranteed to +// represent the point at infinity, i.e. to have its z coordinate zero. +// +// Standard ARM ABI: X0 = res, X1 = scalar, X2 = point +// ---------------------------------------------------------------------------- + + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p384_montjscalarmul_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p384_montjscalarmul_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p384_montjscalarmul_alt) + + + .text + .balign 4 + +// Size of individual field elements + +#define NUMSIZE 48 +#define JACSIZE (3*NUMSIZE) + +// Safe copies of input res and additional values in variables. + +#define bf x22 +#define sgn x23 +#define j x24 +#define res x25 + +// Intermediate variables on the stack. +// The table is 16 entries, each of size JACSIZE = 3 * NUMSIZE + +#define scalarb sp, #(0*NUMSIZE) +#define acc sp, #(1*NUMSIZE) +#define tabent sp, #(4*NUMSIZE) + +#define tab sp, #(7*NUMSIZE) + +#define NSPACE 55*NUMSIZE + +// Avoid using .rep for the sake of the BoringSSL/AWS-LC delocator, +// which doesn't accept repetitions, assembler macros etc. + +#define selectblock(I) \ + cmp bf, #(1*I) __LF \ + ldp x20, x21, [x19] __LF \ + csel x0, x20, x0, eq __LF \ + csel x1, x21, x1, eq __LF \ + ldp x20, x21, [x19, #16] __LF \ + csel x2, x20, x2, eq __LF \ + csel x3, x21, x3, eq __LF \ + ldp x20, x21, [x19, #32] __LF \ + csel x4, x20, x4, eq __LF \ + csel x5, x21, x5, eq __LF \ + ldp x20, x21, [x19, #48] __LF \ + csel x6, x20, x6, eq __LF \ + csel x7, x21, x7, eq __LF \ + ldp x20, x21, [x19, #64] __LF \ + csel x8, x20, x8, eq __LF \ + csel x9, x21, x9, eq __LF \ + ldp x20, x21, [x19, #80] __LF \ + csel x10, x20, x10, eq __LF \ + csel x11, x21, x11, eq __LF \ + ldp x20, x21, [x19, #96] __LF \ + csel x12, x20, x12, eq __LF \ + csel x13, x21, x13, eq __LF \ + ldp x20, x21, [x19, #112] __LF \ + csel x14, x20, x14, eq __LF \ + csel x15, x21, x15, eq __LF \ + ldp x20, x21, [x19, #128] __LF \ + csel x16, x20, x16, eq __LF \ + csel x17, x21, x17, eq __LF \ + add x19, x19, #JACSIZE + +// Loading large constants + +#define movbig(nn,n3,n2,n1,n0) \ + movz nn, n0 __LF \ + movk nn, n1, lsl #16 __LF \ + movk nn, n2, lsl #32 __LF \ + movk nn, n3, lsl #48 + +S2N_BN_SYMBOL(p384_montjscalarmul_alt): + CFI_START + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_PUSH2(x25,x30) + CFI_DEC_SP(NSPACE) + +// Preserve the "res" input argument; others get processed early. + + mov res, x0 + +// Reduce the input scalar mod n_384, i.e. conditionally subtract n_384. +// Store it to "scalarb". + + ldp x3, x4, [x1] + movbig(x15, #0xecec, #0x196a, #0xccc5, #0x2973) + ldp x5, x6, [x1, #16] + movbig(x16, #0x581a, #0x0db2, #0x48b0, #0xa77a) + ldp x7, x8, [x1, #32] + movbig(x17, #0xc763, #0x4d81, #0xf437, #0x2ddf) + + subs x9, x3, x15 + sbcs x10, x4, x16 + sbcs x11, x5, x17 + adcs x12, x6, xzr + adcs x13, x7, xzr + adcs x14, x8, xzr + + csel x3, x3, x9, cc + csel x4, x4, x10, cc + csel x5, x5, x11, cc + csel x6, x6, x12, cc + csel x7, x7, x13, cc + csel x8, x8, x14, cc + + stp x3, x4, [scalarb] + stp x5, x6, [scalarb+16] + stp x7, x8, [scalarb+32] + +// Set the tab[0] table entry to the input point = 1 * P + + ldp x10, x11, [x2] + stp x10, x11, [tab] + ldp x12, x13, [x2, #16] + stp x12, x13, [tab+16] + ldp x14, x15, [x2, #32] + stp x14, x15, [tab+32] + + ldp x10, x11, [x2, #48] + stp x10, x11, [tab+48] + ldp x12, x13, [x2, #64] + stp x12, x13, [tab+64] + ldp x14, x15, [x2, #80] + stp x14, x15, [tab+80] + + ldp x10, x11, [x2, #96] + stp x10, x11, [tab+96] + ldp x12, x13, [x2, #112] + stp x12, x13, [tab+112] + ldp x14, x15, [x2, #128] + stp x14, x15, [tab+128] + +// Compute and record tab[1] = 2 * p, ..., tab[15] = 16 * P + + add x0, tab+JACSIZE*1 + add x1, tab + CFI_BL(Lp384_montjscalarmul_alt_p384_montjdouble) + + add x0, tab+JACSIZE*2 + add x1, tab+JACSIZE*1 + add x2, tab + CFI_BL(Lp384_montjscalarmul_alt_p384_montjadd) + + add x0, tab+JACSIZE*3 + add x1, tab+JACSIZE*1 + CFI_BL(Lp384_montjscalarmul_alt_p384_montjdouble) + + add x0, tab+JACSIZE*4 + add x1, tab+JACSIZE*3 + add x2, tab + CFI_BL(Lp384_montjscalarmul_alt_p384_montjadd) + + add x0, tab+JACSIZE*5 + add x1, tab+JACSIZE*2 + CFI_BL(Lp384_montjscalarmul_alt_p384_montjdouble) + + add x0, tab+JACSIZE*6 + add x1, tab+JACSIZE*5 + add x2, tab + CFI_BL(Lp384_montjscalarmul_alt_p384_montjadd) + + add x0, tab+JACSIZE*7 + add x1, tab+JACSIZE*3 + CFI_BL(Lp384_montjscalarmul_alt_p384_montjdouble) + + add x0, tab+JACSIZE*8 + add x1, tab+JACSIZE*7 + add x2, tab + CFI_BL(Lp384_montjscalarmul_alt_p384_montjadd) + + add x0, tab+JACSIZE*9 + add x1, tab+JACSIZE*4 + CFI_BL(Lp384_montjscalarmul_alt_p384_montjdouble) + + add x0, tab+JACSIZE*10 + add x1, tab+JACSIZE*9 + add x2, tab + CFI_BL(Lp384_montjscalarmul_alt_p384_montjadd) + + add x0, tab+JACSIZE*11 + add x1, tab+JACSIZE*5 + CFI_BL(Lp384_montjscalarmul_alt_p384_montjdouble) + + add x0, tab+JACSIZE*12 + add x1, tab+JACSIZE*11 + add x2, tab + CFI_BL(Lp384_montjscalarmul_alt_p384_montjadd) + + add x0, tab+JACSIZE*13 + add x1, tab+JACSIZE*6 + CFI_BL(Lp384_montjscalarmul_alt_p384_montjdouble) + + add x0, tab+JACSIZE*14 + add x1, tab+JACSIZE*13 + add x2, tab + CFI_BL(Lp384_montjscalarmul_alt_p384_montjadd) + + add x0, tab+JACSIZE*15 + add x1, tab+JACSIZE*7 + CFI_BL(Lp384_montjscalarmul_alt_p384_montjdouble) + +// Add the recoding constant sum_i(16 * 32^i) to the scalar to allow signed +// digits. The digits of the constant, in lowest-to-highest order, are as +// follows; they are generated dynamically since none is a simple ARM load. +// +// 0x0842108421084210 +// 0x1084210842108421 +// 0x2108421084210842 +// 0x4210842108421084 +// 0x8421084210842108 +// 0x0842108421084210 + + ldp x0, x1, [scalarb] + ldp x2, x3, [scalarb+16] + ldp x4, x5, [scalarb+32] + movbig(x8, #0x1084, #0x2108, #0x4210, #0x8421) + adds x0, x0, x8, lsr #1 + adcs x1, x1, x8 + lsl x8, x8, #1 + adcs x2, x2, x8 + lsl x8, x8, #1 + adcs x3, x3, x8 + lsl x8, x8, #1 + adcs x4, x4, x8 + lsr x8, x8, #4 + adcs x5, x5, x8 + cset x6, cs + +// Record the top bitfield then shift the whole scalar left 4 bits +// to align the top of the next bitfield with the MSB (bits 379..383). + + extr bf, x6, x5, #60 + extr x5, x5, x4, #60 + extr x4, x4, x3, #60 + extr x3, x3, x2, #60 + extr x2, x2, x1, #60 + extr x1, x1, x0, #60 + lsl x0, x0, #4 + stp x0, x1, [scalarb] + stp x2, x3, [scalarb+16] + stp x4, x5, [scalarb+32] + +// Initialize the accumulator to the corresponding entry using constant-time +// lookup in the table. This top digit, uniquely, is not recoded so there is +// no sign adjustment to make. + + mov x0, xzr + mov x1, xzr + mov x2, xzr + mov x3, xzr + mov x4, xzr + mov x5, xzr + mov x6, xzr + mov x7, xzr + mov x8, xzr + mov x9, xzr + mov x10, xzr + mov x11, xzr + mov x12, xzr + mov x13, xzr + mov x14, xzr + mov x15, xzr + mov x16, xzr + mov x17, xzr + + add x19, tab + + selectblock(1) + selectblock(2) + selectblock(3) + selectblock(4) + selectblock(5) + selectblock(6) + selectblock(7) + selectblock(8) + selectblock(9) + selectblock(10) + selectblock(11) + selectblock(12) + selectblock(13) + selectblock(14) + selectblock(15) + selectblock(16) + + stp x0, x1, [acc] + stp x2, x3, [acc+16] + stp x4, x5, [acc+32] + stp x6, x7, [acc+48] + stp x8, x9, [acc+64] + stp x10, x11, [acc+80] + stp x12, x13, [acc+96] + stp x14, x15, [acc+112] + stp x16, x17, [acc+128] + + mov j, #380 + +// Main loop over size-5 bitfields: double 5 times then add signed digit +// At each stage we shift the scalar left by 5 bits so we can simply pick +// the top 5 bits as the bitfield, saving some fiddle over indexing. + +Lp384_montjscalarmul_alt_mainloop: + sub j, j, #5 + + add x0, acc + add x1, acc + CFI_BL(Lp384_montjscalarmul_alt_p384_montjdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp384_montjscalarmul_alt_p384_montjdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp384_montjscalarmul_alt_p384_montjdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp384_montjscalarmul_alt_p384_montjdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp384_montjscalarmul_alt_p384_montjdouble) + +// Choose the bitfield and adjust it to sign and magnitude + + ldp x0, x1, [scalarb] + ldp x2, x3, [scalarb+16] + ldp x4, x5, [scalarb+32] + lsr bf, x5, #59 + extr x5, x5, x4, #59 + extr x4, x4, x3, #59 + extr x3, x3, x2, #59 + extr x2, x2, x1, #59 + extr x1, x1, x0, #59 + lsl x0, x0, #5 + stp x0, x1, [scalarb] + stp x2, x3, [scalarb+16] + stp x4, x5, [scalarb+32] + + subs bf, bf, #16 + cset sgn, lo // sgn = sign of digit (1 = negative) + cneg bf, bf, lo // bf = absolute value of digit + +// Conditionally select the table entry tab[i-1] = i * P in constant time + + mov x0, xzr + mov x1, xzr + mov x2, xzr + mov x3, xzr + mov x4, xzr + mov x5, xzr + mov x6, xzr + mov x7, xzr + mov x8, xzr + mov x9, xzr + mov x10, xzr + mov x11, xzr + mov x12, xzr + mov x13, xzr + mov x14, xzr + mov x15, xzr + mov x16, xzr + mov x17, xzr + + add x19, tab + + selectblock(1) + selectblock(2) + selectblock(3) + selectblock(4) + selectblock(5) + selectblock(6) + selectblock(7) + selectblock(8) + selectblock(9) + selectblock(10) + selectblock(11) + selectblock(12) + selectblock(13) + selectblock(14) + selectblock(15) + selectblock(16) + +// Store it to "tabent" with the y coordinate optionally negated. +// This is done carefully to give coordinates < p_384 even in +// the degenerate case y = 0 (when z = 0 for points on the curve). + + stp x0, x1, [tabent] + stp x2, x3, [tabent+16] + stp x4, x5, [tabent+32] + + stp x12, x13, [tabent+96] + stp x14, x15, [tabent+112] + stp x16, x17, [tabent+128] + + mov x0, #0x00000000ffffffff + subs x0, x0, x6 + orr x12, x6, x7 + mov x1, #0xffffffff00000000 + sbcs x1, x1, x7 + orr x13, x8, x9 + mov x2, #0xfffffffffffffffe + sbcs x2, x2, x8 + orr x14, x10, x11 + mov x5, #0xffffffffffffffff + sbcs x3, x5, x9 + orr x12, x12, x13 + sbcs x4, x5, x10 + orr x12, x12, x14 + sbcs x5, x5, x11 + + cmp sgn, xzr + ccmp x12, xzr, #4, ne + + csel x6, x0, x6, ne + csel x7, x1, x7, ne + csel x8, x2, x8, ne + csel x9, x3, x9, ne + csel x10, x4, x10, ne + csel x11, x5, x11, ne + + stp x6, x7, [tabent+48] + stp x8, x9, [tabent+64] + stp x10, x11, [tabent+80] + +// Add to the accumulator + + add x0, acc + add x1, acc + add x2, tabent + CFI_BL(Lp384_montjscalarmul_alt_p384_montjadd) + + cbnz j, Lp384_montjscalarmul_alt_mainloop + +// That's the end of the main loop, and we just need to copy the +// result in "acc" to the output. + + ldp x0, x1, [acc] + stp x0, x1, [res] + ldp x0, x1, [acc+16] + stp x0, x1, [res, #16] + ldp x0, x1, [acc+32] + stp x0, x1, [res, #32] + ldp x0, x1, [acc+48] + stp x0, x1, [res, #48] + ldp x0, x1, [acc+64] + stp x0, x1, [res, #64] + ldp x0, x1, [acc+80] + stp x0, x1, [res, #80] + ldp x0, x1, [acc+96] + stp x0, x1, [res, #96] + ldp x0, x1, [acc+112] + stp x0, x1, [res, #112] + ldp x0, x1, [acc+128] + stp x0, x1, [res, #128] + +// Restore stack and registers and return + + CFI_INC_SP(NSPACE) + CFI_POP2(x25,x30) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p384_montjscalarmul_alt) + +// Local copies of subroutines, complete clones at the moment + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp384_montjscalarmul_alt_p384_montjadd) + +Lp384_montjscalarmul_alt_p384_montjadd: + CFI_START + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_PUSH2(x25,x26) + CFI_DEC_SP(336) + mov x24, x0 + mov x25, x1 + mov x26, x2 + ldp x2, x3, [x25, #96] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [x25, #112] + mul x8, x2, x4 + adds x10, x10, x8 + mul x11, x2, x5 + mul x8, x3, x4 + adcs x11, x11, x8 + umulh x12, x2, x5 + mul x8, x3, x5 + adcs x12, x12, x8 + ldp x6, x7, [x25, #128] + mul x13, x2, x7 + mul x8, x3, x6 + adcs x13, x13, x8 + umulh x14, x2, x7 + mul x8, x3, x7 + adcs x14, x14, x8 + mul x15, x5, x6 + adcs x15, x15, xzr + umulh x16, x5, x6 + adc x16, x16, xzr + umulh x8, x2, x4 + adds x11, x11, x8 + umulh x8, x3, x4 + adcs x12, x12, x8 + umulh x8, x3, x5 + adcs x13, x13, x8 + umulh x8, x3, x6 + adcs x14, x14, x8 + umulh x8, x3, x7 + adcs x15, x15, x8 + adc x16, x16, xzr + mul x8, x2, x6 + adds x12, x12, x8 + mul x8, x4, x5 + adcs x13, x13, x8 + mul x8, x4, x6 + adcs x14, x14, x8 + mul x8, x4, x7 + adcs x15, x15, x8 + mul x8, x5, x7 + adcs x16, x16, x8 + mul x17, x6, x7 + adcs x17, x17, xzr + umulh x19, x6, x7 + adc x19, x19, xzr + umulh x8, x2, x6 + adds x13, x13, x8 + umulh x8, x4, x5 + adcs x14, x14, x8 + umulh x8, x4, x6 + adcs x15, x15, x8 + umulh x8, x4, x7 + adcs x16, x16, x8 + umulh x8, x5, x7 + adcs x17, x17, x8 + adc x19, x19, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + adcs x15, x15, x15 + adcs x16, x16, x16 + adcs x17, x17, x17 + adcs x19, x19, x19 + cset x20, hs + umulh x8, x2, x2 + mul x2, x2, x2 + adds x9, x9, x8 + mul x8, x3, x3 + adcs x10, x10, x8 + umulh x8, x3, x3 + adcs x11, x11, x8 + mul x8, x4, x4 + adcs x12, x12, x8 + umulh x8, x4, x4 + adcs x13, x13, x8 + mul x8, x5, x5 + adcs x14, x14, x8 + umulh x8, x5, x5 + adcs x15, x15, x8 + mul x8, x6, x6 + adcs x16, x16, x8 + umulh x8, x6, x6 + adcs x17, x17, x8 + mul x8, x7, x7 + adcs x19, x19, x8 + umulh x8, x7, x7 + adc x20, x20, x8 + lsl x5, x2, #32 + add x2, x5, x2 + mov x5, #-4294967295 + umulh x5, x5, x2 + mov x4, #4294967295 + mul x3, x4, x2 + umulh x4, x4, x2 + adds x5, x5, x3 + adcs x4, x4, x2 + adc x3, xzr, xzr + subs x9, x9, x5 + sbcs x10, x10, x4 + sbcs x11, x11, x3 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x2, x2, xzr + lsl x5, x9, #32 + add x9, x5, x9 + mov x5, #-4294967295 + umulh x5, x5, x9 + mov x4, #4294967295 + mul x3, x4, x9 + umulh x4, x4, x9 + adds x5, x5, x3 + adcs x4, x4, x9 + adc x3, xzr, xzr + subs x10, x10, x5 + sbcs x11, x11, x4 + sbcs x12, x12, x3 + sbcs x13, x13, xzr + sbcs x2, x2, xzr + sbc x9, x9, xzr + lsl x5, x10, #32 + add x10, x5, x10 + mov x5, #-4294967295 + umulh x5, x5, x10 + mov x4, #4294967295 + mul x3, x4, x10 + umulh x4, x4, x10 + adds x5, x5, x3 + adcs x4, x4, x10 + adc x3, xzr, xzr + subs x11, x11, x5 + sbcs x12, x12, x4 + sbcs x13, x13, x3 + sbcs x2, x2, xzr + sbcs x9, x9, xzr + sbc x10, x10, xzr + lsl x5, x11, #32 + add x11, x5, x11 + mov x5, #-4294967295 + umulh x5, x5, x11 + mov x4, #4294967295 + mul x3, x4, x11 + umulh x4, x4, x11 + adds x5, x5, x3 + adcs x4, x4, x11 + adc x3, xzr, xzr + subs x12, x12, x5 + sbcs x13, x13, x4 + sbcs x2, x2, x3 + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbc x11, x11, xzr + lsl x5, x12, #32 + add x12, x5, x12 + mov x5, #-4294967295 + umulh x5, x5, x12 + mov x4, #4294967295 + mul x3, x4, x12 + umulh x4, x4, x12 + adds x5, x5, x3 + adcs x4, x4, x12 + adc x3, xzr, xzr + subs x13, x13, x5 + sbcs x2, x2, x4 + sbcs x9, x9, x3 + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbc x12, x12, xzr + lsl x5, x13, #32 + add x13, x5, x13 + mov x5, #-4294967295 + umulh x5, x5, x13 + mov x4, #4294967295 + mul x3, x4, x13 + umulh x4, x4, x13 + adds x5, x5, x3 + adcs x4, x4, x13 + adc x3, xzr, xzr + subs x2, x2, x5 + sbcs x9, x9, x4 + sbcs x10, x10, x3 + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + adds x2, x2, x14 + adcs x9, x9, x15 + adcs x10, x10, x16 + adcs x11, x11, x17 + adcs x12, x12, x19 + adcs x13, x13, x20 + mov x14, #-4294967295 + mov x15, #4294967295 + csel x14, x14, xzr, hs + csel x15, x15, xzr, hs + cset x16, hs + adds x2, x2, x14 + adcs x9, x9, x15 + adcs x10, x10, x16 + adcs x11, x11, xzr + adcs x12, x12, xzr + adc x13, x13, xzr + stp x2, x9, [sp] + stp x10, x11, [sp, #16] + stp x12, x13, [sp, #32] + ldp x2, x3, [x26, #96] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [x26, #112] + mul x8, x2, x4 + adds x10, x10, x8 + mul x11, x2, x5 + mul x8, x3, x4 + adcs x11, x11, x8 + umulh x12, x2, x5 + mul x8, x3, x5 + adcs x12, x12, x8 + ldp x6, x7, [x26, #128] + mul x13, x2, x7 + mul x8, x3, x6 + adcs x13, x13, x8 + umulh x14, x2, x7 + mul x8, x3, x7 + adcs x14, x14, x8 + mul x15, x5, x6 + adcs x15, x15, xzr + umulh x16, x5, x6 + adc x16, x16, xzr + umulh x8, x2, x4 + adds x11, x11, x8 + umulh x8, x3, x4 + adcs x12, x12, x8 + umulh x8, x3, x5 + adcs x13, x13, x8 + umulh x8, x3, x6 + adcs x14, x14, x8 + umulh x8, x3, x7 + adcs x15, x15, x8 + adc x16, x16, xzr + mul x8, x2, x6 + adds x12, x12, x8 + mul x8, x4, x5 + adcs x13, x13, x8 + mul x8, x4, x6 + adcs x14, x14, x8 + mul x8, x4, x7 + adcs x15, x15, x8 + mul x8, x5, x7 + adcs x16, x16, x8 + mul x17, x6, x7 + adcs x17, x17, xzr + umulh x19, x6, x7 + adc x19, x19, xzr + umulh x8, x2, x6 + adds x13, x13, x8 + umulh x8, x4, x5 + adcs x14, x14, x8 + umulh x8, x4, x6 + adcs x15, x15, x8 + umulh x8, x4, x7 + adcs x16, x16, x8 + umulh x8, x5, x7 + adcs x17, x17, x8 + adc x19, x19, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + adcs x15, x15, x15 + adcs x16, x16, x16 + adcs x17, x17, x17 + adcs x19, x19, x19 + cset x20, hs + umulh x8, x2, x2 + mul x2, x2, x2 + adds x9, x9, x8 + mul x8, x3, x3 + adcs x10, x10, x8 + umulh x8, x3, x3 + adcs x11, x11, x8 + mul x8, x4, x4 + adcs x12, x12, x8 + umulh x8, x4, x4 + adcs x13, x13, x8 + mul x8, x5, x5 + adcs x14, x14, x8 + umulh x8, x5, x5 + adcs x15, x15, x8 + mul x8, x6, x6 + adcs x16, x16, x8 + umulh x8, x6, x6 + adcs x17, x17, x8 + mul x8, x7, x7 + adcs x19, x19, x8 + umulh x8, x7, x7 + adc x20, x20, x8 + lsl x5, x2, #32 + add x2, x5, x2 + mov x5, #-4294967295 + umulh x5, x5, x2 + mov x4, #4294967295 + mul x3, x4, x2 + umulh x4, x4, x2 + adds x5, x5, x3 + adcs x4, x4, x2 + adc x3, xzr, xzr + subs x9, x9, x5 + sbcs x10, x10, x4 + sbcs x11, x11, x3 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x2, x2, xzr + lsl x5, x9, #32 + add x9, x5, x9 + mov x5, #-4294967295 + umulh x5, x5, x9 + mov x4, #4294967295 + mul x3, x4, x9 + umulh x4, x4, x9 + adds x5, x5, x3 + adcs x4, x4, x9 + adc x3, xzr, xzr + subs x10, x10, x5 + sbcs x11, x11, x4 + sbcs x12, x12, x3 + sbcs x13, x13, xzr + sbcs x2, x2, xzr + sbc x9, x9, xzr + lsl x5, x10, #32 + add x10, x5, x10 + mov x5, #-4294967295 + umulh x5, x5, x10 + mov x4, #4294967295 + mul x3, x4, x10 + umulh x4, x4, x10 + adds x5, x5, x3 + adcs x4, x4, x10 + adc x3, xzr, xzr + subs x11, x11, x5 + sbcs x12, x12, x4 + sbcs x13, x13, x3 + sbcs x2, x2, xzr + sbcs x9, x9, xzr + sbc x10, x10, xzr + lsl x5, x11, #32 + add x11, x5, x11 + mov x5, #-4294967295 + umulh x5, x5, x11 + mov x4, #4294967295 + mul x3, x4, x11 + umulh x4, x4, x11 + adds x5, x5, x3 + adcs x4, x4, x11 + adc x3, xzr, xzr + subs x12, x12, x5 + sbcs x13, x13, x4 + sbcs x2, x2, x3 + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbc x11, x11, xzr + lsl x5, x12, #32 + add x12, x5, x12 + mov x5, #-4294967295 + umulh x5, x5, x12 + mov x4, #4294967295 + mul x3, x4, x12 + umulh x4, x4, x12 + adds x5, x5, x3 + adcs x4, x4, x12 + adc x3, xzr, xzr + subs x13, x13, x5 + sbcs x2, x2, x4 + sbcs x9, x9, x3 + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbc x12, x12, xzr + lsl x5, x13, #32 + add x13, x5, x13 + mov x5, #-4294967295 + umulh x5, x5, x13 + mov x4, #4294967295 + mul x3, x4, x13 + umulh x4, x4, x13 + adds x5, x5, x3 + adcs x4, x4, x13 + adc x3, xzr, xzr + subs x2, x2, x5 + sbcs x9, x9, x4 + sbcs x10, x10, x3 + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + adds x2, x2, x14 + adcs x9, x9, x15 + adcs x10, x10, x16 + adcs x11, x11, x17 + adcs x12, x12, x19 + adcs x13, x13, x20 + mov x14, #-4294967295 + mov x15, #4294967295 + csel x14, x14, xzr, hs + csel x15, x15, xzr, hs + cset x16, hs + adds x2, x2, x14 + adcs x9, x9, x15 + adcs x10, x10, x16 + adcs x11, x11, xzr + adcs x12, x12, xzr + adc x13, x13, xzr + stp x2, x9, [sp, #240] + stp x10, x11, [sp, #256] + stp x12, x13, [sp, #272] + ldp x3, x4, [x26, #96] + ldp x5, x6, [x25, #48] + mul x12, x3, x5 + umulh x13, x3, x5 + mul x11, x3, x6 + umulh x14, x3, x6 + adds x13, x13, x11 + ldp x7, x8, [x25, #64] + mul x11, x3, x7 + umulh x15, x3, x7 + adcs x14, x14, x11 + mul x11, x3, x8 + umulh x16, x3, x8 + adcs x15, x15, x11 + ldp x9, x10, [x25, #80] + mul x11, x3, x9 + umulh x17, x3, x9 + adcs x16, x16, x11 + mul x11, x3, x10 + umulh x19, x3, x10 + adcs x17, x17, x11 + adc x19, x19, xzr + mul x11, x4, x5 + adds x13, x13, x11 + mul x11, x4, x6 + adcs x14, x14, x11 + mul x11, x4, x7 + adcs x15, x15, x11 + mul x11, x4, x8 + adcs x16, x16, x11 + mul x11, x4, x9 + adcs x17, x17, x11 + mul x11, x4, x10 + adcs x19, x19, x11 + cset x20, hs + umulh x11, x4, x5 + adds x14, x14, x11 + umulh x11, x4, x6 + adcs x15, x15, x11 + umulh x11, x4, x7 + adcs x16, x16, x11 + umulh x11, x4, x8 + adcs x17, x17, x11 + umulh x11, x4, x9 + adcs x19, x19, x11 + umulh x11, x4, x10 + adc x20, x20, x11 + ldp x3, x4, [x26, #112] + mul x11, x3, x5 + adds x14, x14, x11 + mul x11, x3, x6 + adcs x15, x15, x11 + mul x11, x3, x7 + adcs x16, x16, x11 + mul x11, x3, x8 + adcs x17, x17, x11 + mul x11, x3, x9 + adcs x19, x19, x11 + mul x11, x3, x10 + adcs x20, x20, x11 + cset x21, hs + umulh x11, x3, x5 + adds x15, x15, x11 + umulh x11, x3, x6 + adcs x16, x16, x11 + umulh x11, x3, x7 + adcs x17, x17, x11 + umulh x11, x3, x8 + adcs x19, x19, x11 + umulh x11, x3, x9 + adcs x20, x20, x11 + umulh x11, x3, x10 + adc x21, x21, x11 + mul x11, x4, x5 + adds x15, x15, x11 + mul x11, x4, x6 + adcs x16, x16, x11 + mul x11, x4, x7 + adcs x17, x17, x11 + mul x11, x4, x8 + adcs x19, x19, x11 + mul x11, x4, x9 + adcs x20, x20, x11 + mul x11, x4, x10 + adcs x21, x21, x11 + cset x22, hs + umulh x11, x4, x5 + adds x16, x16, x11 + umulh x11, x4, x6 + adcs x17, x17, x11 + umulh x11, x4, x7 + adcs x19, x19, x11 + umulh x11, x4, x8 + adcs x20, x20, x11 + umulh x11, x4, x9 + adcs x21, x21, x11 + umulh x11, x4, x10 + adc x22, x22, x11 + ldp x3, x4, [x26, #128] + mul x11, x3, x5 + adds x16, x16, x11 + mul x11, x3, x6 + adcs x17, x17, x11 + mul x11, x3, x7 + adcs x19, x19, x11 + mul x11, x3, x8 + adcs x20, x20, x11 + mul x11, x3, x9 + adcs x21, x21, x11 + mul x11, x3, x10 + adcs x22, x22, x11 + cset x2, hs + umulh x11, x3, x5 + adds x17, x17, x11 + umulh x11, x3, x6 + adcs x19, x19, x11 + umulh x11, x3, x7 + adcs x20, x20, x11 + umulh x11, x3, x8 + adcs x21, x21, x11 + umulh x11, x3, x9 + adcs x22, x22, x11 + umulh x11, x3, x10 + adc x2, x2, x11 + mul x11, x4, x5 + adds x17, x17, x11 + mul x11, x4, x6 + adcs x19, x19, x11 + mul x11, x4, x7 + adcs x20, x20, x11 + mul x11, x4, x8 + adcs x21, x21, x11 + mul x11, x4, x9 + adcs x22, x22, x11 + mul x11, x4, x10 + adcs x2, x2, x11 + cset x1, hs + umulh x11, x4, x5 + adds x19, x19, x11 + umulh x11, x4, x6 + adcs x20, x20, x11 + umulh x11, x4, x7 + adcs x21, x21, x11 + umulh x11, x4, x8 + adcs x22, x22, x11 + umulh x11, x4, x9 + adcs x2, x2, x11 + umulh x11, x4, x10 + adc x1, x1, x11 + lsl x7, x12, #32 + add x12, x7, x12 + mov x7, #-4294967295 + umulh x7, x7, x12 + mov x6, #4294967295 + mul x5, x6, x12 + umulh x6, x6, x12 + adds x7, x7, x5 + adcs x6, x6, x12 + adc x5, xzr, xzr + subs x13, x13, x7 + sbcs x14, x14, x6 + sbcs x15, x15, x5 + sbcs x16, x16, xzr + sbcs x17, x17, xzr + sbc x12, x12, xzr + lsl x7, x13, #32 + add x13, x7, x13 + mov x7, #-4294967295 + umulh x7, x7, x13 + mov x6, #4294967295 + mul x5, x6, x13 + umulh x6, x6, x13 + adds x7, x7, x5 + adcs x6, x6, x13 + adc x5, xzr, xzr + subs x14, x14, x7 + sbcs x15, x15, x6 + sbcs x16, x16, x5 + sbcs x17, x17, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + lsl x7, x14, #32 + add x14, x7, x14 + mov x7, #-4294967295 + umulh x7, x7, x14 + mov x6, #4294967295 + mul x5, x6, x14 + umulh x6, x6, x14 + adds x7, x7, x5 + adcs x6, x6, x14 + adc x5, xzr, xzr + subs x15, x15, x7 + sbcs x16, x16, x6 + sbcs x17, x17, x5 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x14, x14, xzr + lsl x7, x15, #32 + add x15, x7, x15 + mov x7, #-4294967295 + umulh x7, x7, x15 + mov x6, #4294967295 + mul x5, x6, x15 + umulh x6, x6, x15 + adds x7, x7, x5 + adcs x6, x6, x15 + adc x5, xzr, xzr + subs x16, x16, x7 + sbcs x17, x17, x6 + sbcs x12, x12, x5 + sbcs x13, x13, xzr + sbcs x14, x14, xzr + sbc x15, x15, xzr + lsl x7, x16, #32 + add x16, x7, x16 + mov x7, #-4294967295 + umulh x7, x7, x16 + mov x6, #4294967295 + mul x5, x6, x16 + umulh x6, x6, x16 + adds x7, x7, x5 + adcs x6, x6, x16 + adc x5, xzr, xzr + subs x17, x17, x7 + sbcs x12, x12, x6 + sbcs x13, x13, x5 + sbcs x14, x14, xzr + sbcs x15, x15, xzr + sbc x16, x16, xzr + lsl x7, x17, #32 + add x17, x7, x17 + mov x7, #-4294967295 + umulh x7, x7, x17 + mov x6, #4294967295 + mul x5, x6, x17 + umulh x6, x6, x17 + adds x7, x7, x5 + adcs x6, x6, x17 + adc x5, xzr, xzr + subs x12, x12, x7 + sbcs x13, x13, x6 + sbcs x14, x14, x5 + sbcs x15, x15, xzr + sbcs x16, x16, xzr + sbc x17, x17, xzr + adds x12, x12, x19 + adcs x13, x13, x20 + adcs x14, x14, x21 + adcs x15, x15, x22 + adcs x16, x16, x2 + adcs x17, x17, x1 + adc x10, xzr, xzr + mov x11, #-4294967295 + adds x19, x12, x11 + mov x11, #4294967295 + adcs x20, x13, x11 + mov x11, #1 + adcs x21, x14, x11 + adcs x22, x15, xzr + adcs x2, x16, xzr + adcs x1, x17, xzr + adcs x10, x10, xzr + csel x12, x12, x19, eq + csel x13, x13, x20, eq + csel x14, x14, x21, eq + csel x15, x15, x22, eq + csel x16, x16, x2, eq + csel x17, x17, x1, eq + stp x12, x13, [sp, #288] + stp x14, x15, [sp, #304] + stp x16, x17, [sp, #320] + ldp x3, x4, [x25, #96] + ldp x5, x6, [x26, #48] + mul x12, x3, x5 + umulh x13, x3, x5 + mul x11, x3, x6 + umulh x14, x3, x6 + adds x13, x13, x11 + ldp x7, x8, [x26, #64] + mul x11, x3, x7 + umulh x15, x3, x7 + adcs x14, x14, x11 + mul x11, x3, x8 + umulh x16, x3, x8 + adcs x15, x15, x11 + ldp x9, x10, [x26, #80] + mul x11, x3, x9 + umulh x17, x3, x9 + adcs x16, x16, x11 + mul x11, x3, x10 + umulh x19, x3, x10 + adcs x17, x17, x11 + adc x19, x19, xzr + mul x11, x4, x5 + adds x13, x13, x11 + mul x11, x4, x6 + adcs x14, x14, x11 + mul x11, x4, x7 + adcs x15, x15, x11 + mul x11, x4, x8 + adcs x16, x16, x11 + mul x11, x4, x9 + adcs x17, x17, x11 + mul x11, x4, x10 + adcs x19, x19, x11 + cset x20, hs + umulh x11, x4, x5 + adds x14, x14, x11 + umulh x11, x4, x6 + adcs x15, x15, x11 + umulh x11, x4, x7 + adcs x16, x16, x11 + umulh x11, x4, x8 + adcs x17, x17, x11 + umulh x11, x4, x9 + adcs x19, x19, x11 + umulh x11, x4, x10 + adc x20, x20, x11 + ldp x3, x4, [x25, #112] + mul x11, x3, x5 + adds x14, x14, x11 + mul x11, x3, x6 + adcs x15, x15, x11 + mul x11, x3, x7 + adcs x16, x16, x11 + mul x11, x3, x8 + adcs x17, x17, x11 + mul x11, x3, x9 + adcs x19, x19, x11 + mul x11, x3, x10 + adcs x20, x20, x11 + cset x21, hs + umulh x11, x3, x5 + adds x15, x15, x11 + umulh x11, x3, x6 + adcs x16, x16, x11 + umulh x11, x3, x7 + adcs x17, x17, x11 + umulh x11, x3, x8 + adcs x19, x19, x11 + umulh x11, x3, x9 + adcs x20, x20, x11 + umulh x11, x3, x10 + adc x21, x21, x11 + mul x11, x4, x5 + adds x15, x15, x11 + mul x11, x4, x6 + adcs x16, x16, x11 + mul x11, x4, x7 + adcs x17, x17, x11 + mul x11, x4, x8 + adcs x19, x19, x11 + mul x11, x4, x9 + adcs x20, x20, x11 + mul x11, x4, x10 + adcs x21, x21, x11 + cset x22, hs + umulh x11, x4, x5 + adds x16, x16, x11 + umulh x11, x4, x6 + adcs x17, x17, x11 + umulh x11, x4, x7 + adcs x19, x19, x11 + umulh x11, x4, x8 + adcs x20, x20, x11 + umulh x11, x4, x9 + adcs x21, x21, x11 + umulh x11, x4, x10 + adc x22, x22, x11 + ldp x3, x4, [x25, #128] + mul x11, x3, x5 + adds x16, x16, x11 + mul x11, x3, x6 + adcs x17, x17, x11 + mul x11, x3, x7 + adcs x19, x19, x11 + mul x11, x3, x8 + adcs x20, x20, x11 + mul x11, x3, x9 + adcs x21, x21, x11 + mul x11, x3, x10 + adcs x22, x22, x11 + cset x2, hs + umulh x11, x3, x5 + adds x17, x17, x11 + umulh x11, x3, x6 + adcs x19, x19, x11 + umulh x11, x3, x7 + adcs x20, x20, x11 + umulh x11, x3, x8 + adcs x21, x21, x11 + umulh x11, x3, x9 + adcs x22, x22, x11 + umulh x11, x3, x10 + adc x2, x2, x11 + mul x11, x4, x5 + adds x17, x17, x11 + mul x11, x4, x6 + adcs x19, x19, x11 + mul x11, x4, x7 + adcs x20, x20, x11 + mul x11, x4, x8 + adcs x21, x21, x11 + mul x11, x4, x9 + adcs x22, x22, x11 + mul x11, x4, x10 + adcs x2, x2, x11 + cset x1, hs + umulh x11, x4, x5 + adds x19, x19, x11 + umulh x11, x4, x6 + adcs x20, x20, x11 + umulh x11, x4, x7 + adcs x21, x21, x11 + umulh x11, x4, x8 + adcs x22, x22, x11 + umulh x11, x4, x9 + adcs x2, x2, x11 + umulh x11, x4, x10 + adc x1, x1, x11 + lsl x7, x12, #32 + add x12, x7, x12 + mov x7, #-4294967295 + umulh x7, x7, x12 + mov x6, #4294967295 + mul x5, x6, x12 + umulh x6, x6, x12 + adds x7, x7, x5 + adcs x6, x6, x12 + adc x5, xzr, xzr + subs x13, x13, x7 + sbcs x14, x14, x6 + sbcs x15, x15, x5 + sbcs x16, x16, xzr + sbcs x17, x17, xzr + sbc x12, x12, xzr + lsl x7, x13, #32 + add x13, x7, x13 + mov x7, #-4294967295 + umulh x7, x7, x13 + mov x6, #4294967295 + mul x5, x6, x13 + umulh x6, x6, x13 + adds x7, x7, x5 + adcs x6, x6, x13 + adc x5, xzr, xzr + subs x14, x14, x7 + sbcs x15, x15, x6 + sbcs x16, x16, x5 + sbcs x17, x17, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + lsl x7, x14, #32 + add x14, x7, x14 + mov x7, #-4294967295 + umulh x7, x7, x14 + mov x6, #4294967295 + mul x5, x6, x14 + umulh x6, x6, x14 + adds x7, x7, x5 + adcs x6, x6, x14 + adc x5, xzr, xzr + subs x15, x15, x7 + sbcs x16, x16, x6 + sbcs x17, x17, x5 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x14, x14, xzr + lsl x7, x15, #32 + add x15, x7, x15 + mov x7, #-4294967295 + umulh x7, x7, x15 + mov x6, #4294967295 + mul x5, x6, x15 + umulh x6, x6, x15 + adds x7, x7, x5 + adcs x6, x6, x15 + adc x5, xzr, xzr + subs x16, x16, x7 + sbcs x17, x17, x6 + sbcs x12, x12, x5 + sbcs x13, x13, xzr + sbcs x14, x14, xzr + sbc x15, x15, xzr + lsl x7, x16, #32 + add x16, x7, x16 + mov x7, #-4294967295 + umulh x7, x7, x16 + mov x6, #4294967295 + mul x5, x6, x16 + umulh x6, x6, x16 + adds x7, x7, x5 + adcs x6, x6, x16 + adc x5, xzr, xzr + subs x17, x17, x7 + sbcs x12, x12, x6 + sbcs x13, x13, x5 + sbcs x14, x14, xzr + sbcs x15, x15, xzr + sbc x16, x16, xzr + lsl x7, x17, #32 + add x17, x7, x17 + mov x7, #-4294967295 + umulh x7, x7, x17 + mov x6, #4294967295 + mul x5, x6, x17 + umulh x6, x6, x17 + adds x7, x7, x5 + adcs x6, x6, x17 + adc x5, xzr, xzr + subs x12, x12, x7 + sbcs x13, x13, x6 + sbcs x14, x14, x5 + sbcs x15, x15, xzr + sbcs x16, x16, xzr + sbc x17, x17, xzr + adds x12, x12, x19 + adcs x13, x13, x20 + adcs x14, x14, x21 + adcs x15, x15, x22 + adcs x16, x16, x2 + adcs x17, x17, x1 + adc x10, xzr, xzr + mov x11, #-4294967295 + adds x19, x12, x11 + mov x11, #4294967295 + adcs x20, x13, x11 + mov x11, #1 + adcs x21, x14, x11 + adcs x22, x15, xzr + adcs x2, x16, xzr + adcs x1, x17, xzr + adcs x10, x10, xzr + csel x12, x12, x19, eq + csel x13, x13, x20, eq + csel x14, x14, x21, eq + csel x15, x15, x22, eq + csel x16, x16, x2, eq + csel x17, x17, x1, eq + stp x12, x13, [sp, #48] + stp x14, x15, [sp, #64] + stp x16, x17, [sp, #80] + ldp x3, x4, [sp] + ldp x5, x6, [x26] + mul x12, x3, x5 + umulh x13, x3, x5 + mul x11, x3, x6 + umulh x14, x3, x6 + adds x13, x13, x11 + ldp x7, x8, [x26, #16] + mul x11, x3, x7 + umulh x15, x3, x7 + adcs x14, x14, x11 + mul x11, x3, x8 + umulh x16, x3, x8 + adcs x15, x15, x11 + ldp x9, x10, [x26, #32] + mul x11, x3, x9 + umulh x17, x3, x9 + adcs x16, x16, x11 + mul x11, x3, x10 + umulh x19, x3, x10 + adcs x17, x17, x11 + adc x19, x19, xzr + mul x11, x4, x5 + adds x13, x13, x11 + mul x11, x4, x6 + adcs x14, x14, x11 + mul x11, x4, x7 + adcs x15, x15, x11 + mul x11, x4, x8 + adcs x16, x16, x11 + mul x11, x4, x9 + adcs x17, x17, x11 + mul x11, x4, x10 + adcs x19, x19, x11 + cset x20, hs + umulh x11, x4, x5 + adds x14, x14, x11 + umulh x11, x4, x6 + adcs x15, x15, x11 + umulh x11, x4, x7 + adcs x16, x16, x11 + umulh x11, x4, x8 + adcs x17, x17, x11 + umulh x11, x4, x9 + adcs x19, x19, x11 + umulh x11, x4, x10 + adc x20, x20, x11 + ldp x3, x4, [sp, #16] + mul x11, x3, x5 + adds x14, x14, x11 + mul x11, x3, x6 + adcs x15, x15, x11 + mul x11, x3, x7 + adcs x16, x16, x11 + mul x11, x3, x8 + adcs x17, x17, x11 + mul x11, x3, x9 + adcs x19, x19, x11 + mul x11, x3, x10 + adcs x20, x20, x11 + cset x21, hs + umulh x11, x3, x5 + adds x15, x15, x11 + umulh x11, x3, x6 + adcs x16, x16, x11 + umulh x11, x3, x7 + adcs x17, x17, x11 + umulh x11, x3, x8 + adcs x19, x19, x11 + umulh x11, x3, x9 + adcs x20, x20, x11 + umulh x11, x3, x10 + adc x21, x21, x11 + mul x11, x4, x5 + adds x15, x15, x11 + mul x11, x4, x6 + adcs x16, x16, x11 + mul x11, x4, x7 + adcs x17, x17, x11 + mul x11, x4, x8 + adcs x19, x19, x11 + mul x11, x4, x9 + adcs x20, x20, x11 + mul x11, x4, x10 + adcs x21, x21, x11 + cset x22, hs + umulh x11, x4, x5 + adds x16, x16, x11 + umulh x11, x4, x6 + adcs x17, x17, x11 + umulh x11, x4, x7 + adcs x19, x19, x11 + umulh x11, x4, x8 + adcs x20, x20, x11 + umulh x11, x4, x9 + adcs x21, x21, x11 + umulh x11, x4, x10 + adc x22, x22, x11 + ldp x3, x4, [sp, #32] + mul x11, x3, x5 + adds x16, x16, x11 + mul x11, x3, x6 + adcs x17, x17, x11 + mul x11, x3, x7 + adcs x19, x19, x11 + mul x11, x3, x8 + adcs x20, x20, x11 + mul x11, x3, x9 + adcs x21, x21, x11 + mul x11, x3, x10 + adcs x22, x22, x11 + cset x2, hs + umulh x11, x3, x5 + adds x17, x17, x11 + umulh x11, x3, x6 + adcs x19, x19, x11 + umulh x11, x3, x7 + adcs x20, x20, x11 + umulh x11, x3, x8 + adcs x21, x21, x11 + umulh x11, x3, x9 + adcs x22, x22, x11 + umulh x11, x3, x10 + adc x2, x2, x11 + mul x11, x4, x5 + adds x17, x17, x11 + mul x11, x4, x6 + adcs x19, x19, x11 + mul x11, x4, x7 + adcs x20, x20, x11 + mul x11, x4, x8 + adcs x21, x21, x11 + mul x11, x4, x9 + adcs x22, x22, x11 + mul x11, x4, x10 + adcs x2, x2, x11 + cset x1, hs + umulh x11, x4, x5 + adds x19, x19, x11 + umulh x11, x4, x6 + adcs x20, x20, x11 + umulh x11, x4, x7 + adcs x21, x21, x11 + umulh x11, x4, x8 + adcs x22, x22, x11 + umulh x11, x4, x9 + adcs x2, x2, x11 + umulh x11, x4, x10 + adc x1, x1, x11 + lsl x7, x12, #32 + add x12, x7, x12 + mov x7, #-4294967295 + umulh x7, x7, x12 + mov x6, #4294967295 + mul x5, x6, x12 + umulh x6, x6, x12 + adds x7, x7, x5 + adcs x6, x6, x12 + adc x5, xzr, xzr + subs x13, x13, x7 + sbcs x14, x14, x6 + sbcs x15, x15, x5 + sbcs x16, x16, xzr + sbcs x17, x17, xzr + sbc x12, x12, xzr + lsl x7, x13, #32 + add x13, x7, x13 + mov x7, #-4294967295 + umulh x7, x7, x13 + mov x6, #4294967295 + mul x5, x6, x13 + umulh x6, x6, x13 + adds x7, x7, x5 + adcs x6, x6, x13 + adc x5, xzr, xzr + subs x14, x14, x7 + sbcs x15, x15, x6 + sbcs x16, x16, x5 + sbcs x17, x17, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + lsl x7, x14, #32 + add x14, x7, x14 + mov x7, #-4294967295 + umulh x7, x7, x14 + mov x6, #4294967295 + mul x5, x6, x14 + umulh x6, x6, x14 + adds x7, x7, x5 + adcs x6, x6, x14 + adc x5, xzr, xzr + subs x15, x15, x7 + sbcs x16, x16, x6 + sbcs x17, x17, x5 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x14, x14, xzr + lsl x7, x15, #32 + add x15, x7, x15 + mov x7, #-4294967295 + umulh x7, x7, x15 + mov x6, #4294967295 + mul x5, x6, x15 + umulh x6, x6, x15 + adds x7, x7, x5 + adcs x6, x6, x15 + adc x5, xzr, xzr + subs x16, x16, x7 + sbcs x17, x17, x6 + sbcs x12, x12, x5 + sbcs x13, x13, xzr + sbcs x14, x14, xzr + sbc x15, x15, xzr + lsl x7, x16, #32 + add x16, x7, x16 + mov x7, #-4294967295 + umulh x7, x7, x16 + mov x6, #4294967295 + mul x5, x6, x16 + umulh x6, x6, x16 + adds x7, x7, x5 + adcs x6, x6, x16 + adc x5, xzr, xzr + subs x17, x17, x7 + sbcs x12, x12, x6 + sbcs x13, x13, x5 + sbcs x14, x14, xzr + sbcs x15, x15, xzr + sbc x16, x16, xzr + lsl x7, x17, #32 + add x17, x7, x17 + mov x7, #-4294967295 + umulh x7, x7, x17 + mov x6, #4294967295 + mul x5, x6, x17 + umulh x6, x6, x17 + adds x7, x7, x5 + adcs x6, x6, x17 + adc x5, xzr, xzr + subs x12, x12, x7 + sbcs x13, x13, x6 + sbcs x14, x14, x5 + sbcs x15, x15, xzr + sbcs x16, x16, xzr + sbc x17, x17, xzr + adds x12, x12, x19 + adcs x13, x13, x20 + adcs x14, x14, x21 + adcs x15, x15, x22 + adcs x16, x16, x2 + adcs x17, x17, x1 + adc x10, xzr, xzr + mov x11, #-4294967295 + adds x19, x12, x11 + mov x11, #4294967295 + adcs x20, x13, x11 + mov x11, #1 + adcs x21, x14, x11 + adcs x22, x15, xzr + adcs x2, x16, xzr + adcs x1, x17, xzr + adcs x10, x10, xzr + csel x12, x12, x19, eq + csel x13, x13, x20, eq + csel x14, x14, x21, eq + csel x15, x15, x22, eq + csel x16, x16, x2, eq + csel x17, x17, x1, eq + stp x12, x13, [sp, #96] + stp x14, x15, [sp, #112] + stp x16, x17, [sp, #128] + ldp x3, x4, [sp, #240] + ldp x5, x6, [x25] + mul x12, x3, x5 + umulh x13, x3, x5 + mul x11, x3, x6 + umulh x14, x3, x6 + adds x13, x13, x11 + ldp x7, x8, [x25, #16] + mul x11, x3, x7 + umulh x15, x3, x7 + adcs x14, x14, x11 + mul x11, x3, x8 + umulh x16, x3, x8 + adcs x15, x15, x11 + ldp x9, x10, [x25, #32] + mul x11, x3, x9 + umulh x17, x3, x9 + adcs x16, x16, x11 + mul x11, x3, x10 + umulh x19, x3, x10 + adcs x17, x17, x11 + adc x19, x19, xzr + mul x11, x4, x5 + adds x13, x13, x11 + mul x11, x4, x6 + adcs x14, x14, x11 + mul x11, x4, x7 + adcs x15, x15, x11 + mul x11, x4, x8 + adcs x16, x16, x11 + mul x11, x4, x9 + adcs x17, x17, x11 + mul x11, x4, x10 + adcs x19, x19, x11 + cset x20, hs + umulh x11, x4, x5 + adds x14, x14, x11 + umulh x11, x4, x6 + adcs x15, x15, x11 + umulh x11, x4, x7 + adcs x16, x16, x11 + umulh x11, x4, x8 + adcs x17, x17, x11 + umulh x11, x4, x9 + adcs x19, x19, x11 + umulh x11, x4, x10 + adc x20, x20, x11 + ldp x3, x4, [sp, #256] + mul x11, x3, x5 + adds x14, x14, x11 + mul x11, x3, x6 + adcs x15, x15, x11 + mul x11, x3, x7 + adcs x16, x16, x11 + mul x11, x3, x8 + adcs x17, x17, x11 + mul x11, x3, x9 + adcs x19, x19, x11 + mul x11, x3, x10 + adcs x20, x20, x11 + cset x21, hs + umulh x11, x3, x5 + adds x15, x15, x11 + umulh x11, x3, x6 + adcs x16, x16, x11 + umulh x11, x3, x7 + adcs x17, x17, x11 + umulh x11, x3, x8 + adcs x19, x19, x11 + umulh x11, x3, x9 + adcs x20, x20, x11 + umulh x11, x3, x10 + adc x21, x21, x11 + mul x11, x4, x5 + adds x15, x15, x11 + mul x11, x4, x6 + adcs x16, x16, x11 + mul x11, x4, x7 + adcs x17, x17, x11 + mul x11, x4, x8 + adcs x19, x19, x11 + mul x11, x4, x9 + adcs x20, x20, x11 + mul x11, x4, x10 + adcs x21, x21, x11 + cset x22, hs + umulh x11, x4, x5 + adds x16, x16, x11 + umulh x11, x4, x6 + adcs x17, x17, x11 + umulh x11, x4, x7 + adcs x19, x19, x11 + umulh x11, x4, x8 + adcs x20, x20, x11 + umulh x11, x4, x9 + adcs x21, x21, x11 + umulh x11, x4, x10 + adc x22, x22, x11 + ldp x3, x4, [sp, #272] + mul x11, x3, x5 + adds x16, x16, x11 + mul x11, x3, x6 + adcs x17, x17, x11 + mul x11, x3, x7 + adcs x19, x19, x11 + mul x11, x3, x8 + adcs x20, x20, x11 + mul x11, x3, x9 + adcs x21, x21, x11 + mul x11, x3, x10 + adcs x22, x22, x11 + cset x2, hs + umulh x11, x3, x5 + adds x17, x17, x11 + umulh x11, x3, x6 + adcs x19, x19, x11 + umulh x11, x3, x7 + adcs x20, x20, x11 + umulh x11, x3, x8 + adcs x21, x21, x11 + umulh x11, x3, x9 + adcs x22, x22, x11 + umulh x11, x3, x10 + adc x2, x2, x11 + mul x11, x4, x5 + adds x17, x17, x11 + mul x11, x4, x6 + adcs x19, x19, x11 + mul x11, x4, x7 + adcs x20, x20, x11 + mul x11, x4, x8 + adcs x21, x21, x11 + mul x11, x4, x9 + adcs x22, x22, x11 + mul x11, x4, x10 + adcs x2, x2, x11 + cset x1, hs + umulh x11, x4, x5 + adds x19, x19, x11 + umulh x11, x4, x6 + adcs x20, x20, x11 + umulh x11, x4, x7 + adcs x21, x21, x11 + umulh x11, x4, x8 + adcs x22, x22, x11 + umulh x11, x4, x9 + adcs x2, x2, x11 + umulh x11, x4, x10 + adc x1, x1, x11 + lsl x7, x12, #32 + add x12, x7, x12 + mov x7, #-4294967295 + umulh x7, x7, x12 + mov x6, #4294967295 + mul x5, x6, x12 + umulh x6, x6, x12 + adds x7, x7, x5 + adcs x6, x6, x12 + adc x5, xzr, xzr + subs x13, x13, x7 + sbcs x14, x14, x6 + sbcs x15, x15, x5 + sbcs x16, x16, xzr + sbcs x17, x17, xzr + sbc x12, x12, xzr + lsl x7, x13, #32 + add x13, x7, x13 + mov x7, #-4294967295 + umulh x7, x7, x13 + mov x6, #4294967295 + mul x5, x6, x13 + umulh x6, x6, x13 + adds x7, x7, x5 + adcs x6, x6, x13 + adc x5, xzr, xzr + subs x14, x14, x7 + sbcs x15, x15, x6 + sbcs x16, x16, x5 + sbcs x17, x17, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + lsl x7, x14, #32 + add x14, x7, x14 + mov x7, #-4294967295 + umulh x7, x7, x14 + mov x6, #4294967295 + mul x5, x6, x14 + umulh x6, x6, x14 + adds x7, x7, x5 + adcs x6, x6, x14 + adc x5, xzr, xzr + subs x15, x15, x7 + sbcs x16, x16, x6 + sbcs x17, x17, x5 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x14, x14, xzr + lsl x7, x15, #32 + add x15, x7, x15 + mov x7, #-4294967295 + umulh x7, x7, x15 + mov x6, #4294967295 + mul x5, x6, x15 + umulh x6, x6, x15 + adds x7, x7, x5 + adcs x6, x6, x15 + adc x5, xzr, xzr + subs x16, x16, x7 + sbcs x17, x17, x6 + sbcs x12, x12, x5 + sbcs x13, x13, xzr + sbcs x14, x14, xzr + sbc x15, x15, xzr + lsl x7, x16, #32 + add x16, x7, x16 + mov x7, #-4294967295 + umulh x7, x7, x16 + mov x6, #4294967295 + mul x5, x6, x16 + umulh x6, x6, x16 + adds x7, x7, x5 + adcs x6, x6, x16 + adc x5, xzr, xzr + subs x17, x17, x7 + sbcs x12, x12, x6 + sbcs x13, x13, x5 + sbcs x14, x14, xzr + sbcs x15, x15, xzr + sbc x16, x16, xzr + lsl x7, x17, #32 + add x17, x7, x17 + mov x7, #-4294967295 + umulh x7, x7, x17 + mov x6, #4294967295 + mul x5, x6, x17 + umulh x6, x6, x17 + adds x7, x7, x5 + adcs x6, x6, x17 + adc x5, xzr, xzr + subs x12, x12, x7 + sbcs x13, x13, x6 + sbcs x14, x14, x5 + sbcs x15, x15, xzr + sbcs x16, x16, xzr + sbc x17, x17, xzr + adds x12, x12, x19 + adcs x13, x13, x20 + adcs x14, x14, x21 + adcs x15, x15, x22 + adcs x16, x16, x2 + adcs x17, x17, x1 + adc x10, xzr, xzr + mov x11, #-4294967295 + adds x19, x12, x11 + mov x11, #4294967295 + adcs x20, x13, x11 + mov x11, #1 + adcs x21, x14, x11 + adcs x22, x15, xzr + adcs x2, x16, xzr + adcs x1, x17, xzr + adcs x10, x10, xzr + csel x12, x12, x19, eq + csel x13, x13, x20, eq + csel x14, x14, x21, eq + csel x15, x15, x22, eq + csel x16, x16, x2, eq + csel x17, x17, x1, eq + stp x12, x13, [sp, #192] + stp x14, x15, [sp, #208] + stp x16, x17, [sp, #224] + ldp x3, x4, [sp] + ldp x5, x6, [sp, #48] + mul x12, x3, x5 + umulh x13, x3, x5 + mul x11, x3, x6 + umulh x14, x3, x6 + adds x13, x13, x11 + ldp x7, x8, [sp, #64] + mul x11, x3, x7 + umulh x15, x3, x7 + adcs x14, x14, x11 + mul x11, x3, x8 + umulh x16, x3, x8 + adcs x15, x15, x11 + ldp x9, x10, [sp, #80] + mul x11, x3, x9 + umulh x17, x3, x9 + adcs x16, x16, x11 + mul x11, x3, x10 + umulh x19, x3, x10 + adcs x17, x17, x11 + adc x19, x19, xzr + mul x11, x4, x5 + adds x13, x13, x11 + mul x11, x4, x6 + adcs x14, x14, x11 + mul x11, x4, x7 + adcs x15, x15, x11 + mul x11, x4, x8 + adcs x16, x16, x11 + mul x11, x4, x9 + adcs x17, x17, x11 + mul x11, x4, x10 + adcs x19, x19, x11 + cset x20, hs + umulh x11, x4, x5 + adds x14, x14, x11 + umulh x11, x4, x6 + adcs x15, x15, x11 + umulh x11, x4, x7 + adcs x16, x16, x11 + umulh x11, x4, x8 + adcs x17, x17, x11 + umulh x11, x4, x9 + adcs x19, x19, x11 + umulh x11, x4, x10 + adc x20, x20, x11 + ldp x3, x4, [sp, #16] + mul x11, x3, x5 + adds x14, x14, x11 + mul x11, x3, x6 + adcs x15, x15, x11 + mul x11, x3, x7 + adcs x16, x16, x11 + mul x11, x3, x8 + adcs x17, x17, x11 + mul x11, x3, x9 + adcs x19, x19, x11 + mul x11, x3, x10 + adcs x20, x20, x11 + cset x21, hs + umulh x11, x3, x5 + adds x15, x15, x11 + umulh x11, x3, x6 + adcs x16, x16, x11 + umulh x11, x3, x7 + adcs x17, x17, x11 + umulh x11, x3, x8 + adcs x19, x19, x11 + umulh x11, x3, x9 + adcs x20, x20, x11 + umulh x11, x3, x10 + adc x21, x21, x11 + mul x11, x4, x5 + adds x15, x15, x11 + mul x11, x4, x6 + adcs x16, x16, x11 + mul x11, x4, x7 + adcs x17, x17, x11 + mul x11, x4, x8 + adcs x19, x19, x11 + mul x11, x4, x9 + adcs x20, x20, x11 + mul x11, x4, x10 + adcs x21, x21, x11 + cset x22, hs + umulh x11, x4, x5 + adds x16, x16, x11 + umulh x11, x4, x6 + adcs x17, x17, x11 + umulh x11, x4, x7 + adcs x19, x19, x11 + umulh x11, x4, x8 + adcs x20, x20, x11 + umulh x11, x4, x9 + adcs x21, x21, x11 + umulh x11, x4, x10 + adc x22, x22, x11 + ldp x3, x4, [sp, #32] + mul x11, x3, x5 + adds x16, x16, x11 + mul x11, x3, x6 + adcs x17, x17, x11 + mul x11, x3, x7 + adcs x19, x19, x11 + mul x11, x3, x8 + adcs x20, x20, x11 + mul x11, x3, x9 + adcs x21, x21, x11 + mul x11, x3, x10 + adcs x22, x22, x11 + cset x2, hs + umulh x11, x3, x5 + adds x17, x17, x11 + umulh x11, x3, x6 + adcs x19, x19, x11 + umulh x11, x3, x7 + adcs x20, x20, x11 + umulh x11, x3, x8 + adcs x21, x21, x11 + umulh x11, x3, x9 + adcs x22, x22, x11 + umulh x11, x3, x10 + adc x2, x2, x11 + mul x11, x4, x5 + adds x17, x17, x11 + mul x11, x4, x6 + adcs x19, x19, x11 + mul x11, x4, x7 + adcs x20, x20, x11 + mul x11, x4, x8 + adcs x21, x21, x11 + mul x11, x4, x9 + adcs x22, x22, x11 + mul x11, x4, x10 + adcs x2, x2, x11 + cset x1, hs + umulh x11, x4, x5 + adds x19, x19, x11 + umulh x11, x4, x6 + adcs x20, x20, x11 + umulh x11, x4, x7 + adcs x21, x21, x11 + umulh x11, x4, x8 + adcs x22, x22, x11 + umulh x11, x4, x9 + adcs x2, x2, x11 + umulh x11, x4, x10 + adc x1, x1, x11 + lsl x7, x12, #32 + add x12, x7, x12 + mov x7, #-4294967295 + umulh x7, x7, x12 + mov x6, #4294967295 + mul x5, x6, x12 + umulh x6, x6, x12 + adds x7, x7, x5 + adcs x6, x6, x12 + adc x5, xzr, xzr + subs x13, x13, x7 + sbcs x14, x14, x6 + sbcs x15, x15, x5 + sbcs x16, x16, xzr + sbcs x17, x17, xzr + sbc x12, x12, xzr + lsl x7, x13, #32 + add x13, x7, x13 + mov x7, #-4294967295 + umulh x7, x7, x13 + mov x6, #4294967295 + mul x5, x6, x13 + umulh x6, x6, x13 + adds x7, x7, x5 + adcs x6, x6, x13 + adc x5, xzr, xzr + subs x14, x14, x7 + sbcs x15, x15, x6 + sbcs x16, x16, x5 + sbcs x17, x17, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + lsl x7, x14, #32 + add x14, x7, x14 + mov x7, #-4294967295 + umulh x7, x7, x14 + mov x6, #4294967295 + mul x5, x6, x14 + umulh x6, x6, x14 + adds x7, x7, x5 + adcs x6, x6, x14 + adc x5, xzr, xzr + subs x15, x15, x7 + sbcs x16, x16, x6 + sbcs x17, x17, x5 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x14, x14, xzr + lsl x7, x15, #32 + add x15, x7, x15 + mov x7, #-4294967295 + umulh x7, x7, x15 + mov x6, #4294967295 + mul x5, x6, x15 + umulh x6, x6, x15 + adds x7, x7, x5 + adcs x6, x6, x15 + adc x5, xzr, xzr + subs x16, x16, x7 + sbcs x17, x17, x6 + sbcs x12, x12, x5 + sbcs x13, x13, xzr + sbcs x14, x14, xzr + sbc x15, x15, xzr + lsl x7, x16, #32 + add x16, x7, x16 + mov x7, #-4294967295 + umulh x7, x7, x16 + mov x6, #4294967295 + mul x5, x6, x16 + umulh x6, x6, x16 + adds x7, x7, x5 + adcs x6, x6, x16 + adc x5, xzr, xzr + subs x17, x17, x7 + sbcs x12, x12, x6 + sbcs x13, x13, x5 + sbcs x14, x14, xzr + sbcs x15, x15, xzr + sbc x16, x16, xzr + lsl x7, x17, #32 + add x17, x7, x17 + mov x7, #-4294967295 + umulh x7, x7, x17 + mov x6, #4294967295 + mul x5, x6, x17 + umulh x6, x6, x17 + adds x7, x7, x5 + adcs x6, x6, x17 + adc x5, xzr, xzr + subs x12, x12, x7 + sbcs x13, x13, x6 + sbcs x14, x14, x5 + sbcs x15, x15, xzr + sbcs x16, x16, xzr + sbc x17, x17, xzr + adds x12, x12, x19 + adcs x13, x13, x20 + adcs x14, x14, x21 + adcs x15, x15, x22 + adcs x16, x16, x2 + adcs x17, x17, x1 + adc x10, xzr, xzr + mov x11, #-4294967295 + adds x19, x12, x11 + mov x11, #4294967295 + adcs x20, x13, x11 + mov x11, #1 + adcs x21, x14, x11 + adcs x22, x15, xzr + adcs x2, x16, xzr + adcs x1, x17, xzr + adcs x10, x10, xzr + csel x12, x12, x19, eq + csel x13, x13, x20, eq + csel x14, x14, x21, eq + csel x15, x15, x22, eq + csel x16, x16, x2, eq + csel x17, x17, x1, eq + stp x12, x13, [sp, #48] + stp x14, x15, [sp, #64] + stp x16, x17, [sp, #80] + ldp x3, x4, [sp, #240] + ldp x5, x6, [sp, #288] + mul x12, x3, x5 + umulh x13, x3, x5 + mul x11, x3, x6 + umulh x14, x3, x6 + adds x13, x13, x11 + ldp x7, x8, [sp, #304] + mul x11, x3, x7 + umulh x15, x3, x7 + adcs x14, x14, x11 + mul x11, x3, x8 + umulh x16, x3, x8 + adcs x15, x15, x11 + ldp x9, x10, [sp, #320] + mul x11, x3, x9 + umulh x17, x3, x9 + adcs x16, x16, x11 + mul x11, x3, x10 + umulh x19, x3, x10 + adcs x17, x17, x11 + adc x19, x19, xzr + mul x11, x4, x5 + adds x13, x13, x11 + mul x11, x4, x6 + adcs x14, x14, x11 + mul x11, x4, x7 + adcs x15, x15, x11 + mul x11, x4, x8 + adcs x16, x16, x11 + mul x11, x4, x9 + adcs x17, x17, x11 + mul x11, x4, x10 + adcs x19, x19, x11 + cset x20, hs + umulh x11, x4, x5 + adds x14, x14, x11 + umulh x11, x4, x6 + adcs x15, x15, x11 + umulh x11, x4, x7 + adcs x16, x16, x11 + umulh x11, x4, x8 + adcs x17, x17, x11 + umulh x11, x4, x9 + adcs x19, x19, x11 + umulh x11, x4, x10 + adc x20, x20, x11 + ldp x3, x4, [sp, #256] + mul x11, x3, x5 + adds x14, x14, x11 + mul x11, x3, x6 + adcs x15, x15, x11 + mul x11, x3, x7 + adcs x16, x16, x11 + mul x11, x3, x8 + adcs x17, x17, x11 + mul x11, x3, x9 + adcs x19, x19, x11 + mul x11, x3, x10 + adcs x20, x20, x11 + cset x21, hs + umulh x11, x3, x5 + adds x15, x15, x11 + umulh x11, x3, x6 + adcs x16, x16, x11 + umulh x11, x3, x7 + adcs x17, x17, x11 + umulh x11, x3, x8 + adcs x19, x19, x11 + umulh x11, x3, x9 + adcs x20, x20, x11 + umulh x11, x3, x10 + adc x21, x21, x11 + mul x11, x4, x5 + adds x15, x15, x11 + mul x11, x4, x6 + adcs x16, x16, x11 + mul x11, x4, x7 + adcs x17, x17, x11 + mul x11, x4, x8 + adcs x19, x19, x11 + mul x11, x4, x9 + adcs x20, x20, x11 + mul x11, x4, x10 + adcs x21, x21, x11 + cset x22, hs + umulh x11, x4, x5 + adds x16, x16, x11 + umulh x11, x4, x6 + adcs x17, x17, x11 + umulh x11, x4, x7 + adcs x19, x19, x11 + umulh x11, x4, x8 + adcs x20, x20, x11 + umulh x11, x4, x9 + adcs x21, x21, x11 + umulh x11, x4, x10 + adc x22, x22, x11 + ldp x3, x4, [sp, #272] + mul x11, x3, x5 + adds x16, x16, x11 + mul x11, x3, x6 + adcs x17, x17, x11 + mul x11, x3, x7 + adcs x19, x19, x11 + mul x11, x3, x8 + adcs x20, x20, x11 + mul x11, x3, x9 + adcs x21, x21, x11 + mul x11, x3, x10 + adcs x22, x22, x11 + cset x2, hs + umulh x11, x3, x5 + adds x17, x17, x11 + umulh x11, x3, x6 + adcs x19, x19, x11 + umulh x11, x3, x7 + adcs x20, x20, x11 + umulh x11, x3, x8 + adcs x21, x21, x11 + umulh x11, x3, x9 + adcs x22, x22, x11 + umulh x11, x3, x10 + adc x2, x2, x11 + mul x11, x4, x5 + adds x17, x17, x11 + mul x11, x4, x6 + adcs x19, x19, x11 + mul x11, x4, x7 + adcs x20, x20, x11 + mul x11, x4, x8 + adcs x21, x21, x11 + mul x11, x4, x9 + adcs x22, x22, x11 + mul x11, x4, x10 + adcs x2, x2, x11 + cset x1, hs + umulh x11, x4, x5 + adds x19, x19, x11 + umulh x11, x4, x6 + adcs x20, x20, x11 + umulh x11, x4, x7 + adcs x21, x21, x11 + umulh x11, x4, x8 + adcs x22, x22, x11 + umulh x11, x4, x9 + adcs x2, x2, x11 + umulh x11, x4, x10 + adc x1, x1, x11 + lsl x7, x12, #32 + add x12, x7, x12 + mov x7, #-4294967295 + umulh x7, x7, x12 + mov x6, #4294967295 + mul x5, x6, x12 + umulh x6, x6, x12 + adds x7, x7, x5 + adcs x6, x6, x12 + adc x5, xzr, xzr + subs x13, x13, x7 + sbcs x14, x14, x6 + sbcs x15, x15, x5 + sbcs x16, x16, xzr + sbcs x17, x17, xzr + sbc x12, x12, xzr + lsl x7, x13, #32 + add x13, x7, x13 + mov x7, #-4294967295 + umulh x7, x7, x13 + mov x6, #4294967295 + mul x5, x6, x13 + umulh x6, x6, x13 + adds x7, x7, x5 + adcs x6, x6, x13 + adc x5, xzr, xzr + subs x14, x14, x7 + sbcs x15, x15, x6 + sbcs x16, x16, x5 + sbcs x17, x17, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + lsl x7, x14, #32 + add x14, x7, x14 + mov x7, #-4294967295 + umulh x7, x7, x14 + mov x6, #4294967295 + mul x5, x6, x14 + umulh x6, x6, x14 + adds x7, x7, x5 + adcs x6, x6, x14 + adc x5, xzr, xzr + subs x15, x15, x7 + sbcs x16, x16, x6 + sbcs x17, x17, x5 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x14, x14, xzr + lsl x7, x15, #32 + add x15, x7, x15 + mov x7, #-4294967295 + umulh x7, x7, x15 + mov x6, #4294967295 + mul x5, x6, x15 + umulh x6, x6, x15 + adds x7, x7, x5 + adcs x6, x6, x15 + adc x5, xzr, xzr + subs x16, x16, x7 + sbcs x17, x17, x6 + sbcs x12, x12, x5 + sbcs x13, x13, xzr + sbcs x14, x14, xzr + sbc x15, x15, xzr + lsl x7, x16, #32 + add x16, x7, x16 + mov x7, #-4294967295 + umulh x7, x7, x16 + mov x6, #4294967295 + mul x5, x6, x16 + umulh x6, x6, x16 + adds x7, x7, x5 + adcs x6, x6, x16 + adc x5, xzr, xzr + subs x17, x17, x7 + sbcs x12, x12, x6 + sbcs x13, x13, x5 + sbcs x14, x14, xzr + sbcs x15, x15, xzr + sbc x16, x16, xzr + lsl x7, x17, #32 + add x17, x7, x17 + mov x7, #-4294967295 + umulh x7, x7, x17 + mov x6, #4294967295 + mul x5, x6, x17 + umulh x6, x6, x17 + adds x7, x7, x5 + adcs x6, x6, x17 + adc x5, xzr, xzr + subs x12, x12, x7 + sbcs x13, x13, x6 + sbcs x14, x14, x5 + sbcs x15, x15, xzr + sbcs x16, x16, xzr + sbc x17, x17, xzr + adds x12, x12, x19 + adcs x13, x13, x20 + adcs x14, x14, x21 + adcs x15, x15, x22 + adcs x16, x16, x2 + adcs x17, x17, x1 + adc x10, xzr, xzr + mov x11, #-4294967295 + adds x19, x12, x11 + mov x11, #4294967295 + adcs x20, x13, x11 + mov x11, #1 + adcs x21, x14, x11 + adcs x22, x15, xzr + adcs x2, x16, xzr + adcs x1, x17, xzr + adcs x10, x10, xzr + csel x12, x12, x19, eq + csel x13, x13, x20, eq + csel x14, x14, x21, eq + csel x15, x15, x22, eq + csel x16, x16, x2, eq + csel x17, x17, x1, eq + stp x12, x13, [sp, #288] + stp x14, x15, [sp, #304] + stp x16, x17, [sp, #320] + ldp x5, x6, [sp, #96] + ldp x4, x3, [sp, #192] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #112] + ldp x4, x3, [sp, #208] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [sp, #128] + ldp x4, x3, [sp, #224] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + csetm x3, lo + mov x4, #4294967295 + and x4, x4, x3 + adds x5, x5, x4 + eor x4, x4, x3 + adcs x6, x6, x4 + mov x4, #-2 + and x4, x4, x3 + adcs x7, x7, x4 + adcs x8, x8, x3 + adcs x9, x9, x3 + adc x10, x10, x3 + stp x5, x6, [sp, #240] + stp x7, x8, [sp, #256] + stp x9, x10, [sp, #272] + ldp x5, x6, [sp, #48] + ldp x4, x3, [sp, #288] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #64] + ldp x4, x3, [sp, #304] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [sp, #80] + ldp x4, x3, [sp, #320] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + csetm x3, lo + mov x4, #4294967295 + and x4, x4, x3 + adds x5, x5, x4 + eor x4, x4, x3 + adcs x6, x6, x4 + mov x4, #-2 + and x4, x4, x3 + adcs x7, x7, x4 + adcs x8, x8, x3 + adcs x9, x9, x3 + adc x10, x10, x3 + stp x5, x6, [sp, #48] + stp x7, x8, [sp, #64] + stp x9, x10, [sp, #80] + ldp x2, x3, [sp, #240] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [sp, #256] + mul x8, x2, x4 + adds x10, x10, x8 + mul x11, x2, x5 + mul x8, x3, x4 + adcs x11, x11, x8 + umulh x12, x2, x5 + mul x8, x3, x5 + adcs x12, x12, x8 + ldp x6, x7, [sp, #272] + mul x13, x2, x7 + mul x8, x3, x6 + adcs x13, x13, x8 + umulh x14, x2, x7 + mul x8, x3, x7 + adcs x14, x14, x8 + mul x15, x5, x6 + adcs x15, x15, xzr + umulh x16, x5, x6 + adc x16, x16, xzr + umulh x8, x2, x4 + adds x11, x11, x8 + umulh x8, x3, x4 + adcs x12, x12, x8 + umulh x8, x3, x5 + adcs x13, x13, x8 + umulh x8, x3, x6 + adcs x14, x14, x8 + umulh x8, x3, x7 + adcs x15, x15, x8 + adc x16, x16, xzr + mul x8, x2, x6 + adds x12, x12, x8 + mul x8, x4, x5 + adcs x13, x13, x8 + mul x8, x4, x6 + adcs x14, x14, x8 + mul x8, x4, x7 + adcs x15, x15, x8 + mul x8, x5, x7 + adcs x16, x16, x8 + mul x17, x6, x7 + adcs x17, x17, xzr + umulh x19, x6, x7 + adc x19, x19, xzr + umulh x8, x2, x6 + adds x13, x13, x8 + umulh x8, x4, x5 + adcs x14, x14, x8 + umulh x8, x4, x6 + adcs x15, x15, x8 + umulh x8, x4, x7 + adcs x16, x16, x8 + umulh x8, x5, x7 + adcs x17, x17, x8 + adc x19, x19, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + adcs x15, x15, x15 + adcs x16, x16, x16 + adcs x17, x17, x17 + adcs x19, x19, x19 + cset x20, hs + umulh x8, x2, x2 + mul x2, x2, x2 + adds x9, x9, x8 + mul x8, x3, x3 + adcs x10, x10, x8 + umulh x8, x3, x3 + adcs x11, x11, x8 + mul x8, x4, x4 + adcs x12, x12, x8 + umulh x8, x4, x4 + adcs x13, x13, x8 + mul x8, x5, x5 + adcs x14, x14, x8 + umulh x8, x5, x5 + adcs x15, x15, x8 + mul x8, x6, x6 + adcs x16, x16, x8 + umulh x8, x6, x6 + adcs x17, x17, x8 + mul x8, x7, x7 + adcs x19, x19, x8 + umulh x8, x7, x7 + adc x20, x20, x8 + lsl x5, x2, #32 + add x2, x5, x2 + mov x5, #-4294967295 + umulh x5, x5, x2 + mov x4, #4294967295 + mul x3, x4, x2 + umulh x4, x4, x2 + adds x5, x5, x3 + adcs x4, x4, x2 + adc x3, xzr, xzr + subs x9, x9, x5 + sbcs x10, x10, x4 + sbcs x11, x11, x3 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x2, x2, xzr + lsl x5, x9, #32 + add x9, x5, x9 + mov x5, #-4294967295 + umulh x5, x5, x9 + mov x4, #4294967295 + mul x3, x4, x9 + umulh x4, x4, x9 + adds x5, x5, x3 + adcs x4, x4, x9 + adc x3, xzr, xzr + subs x10, x10, x5 + sbcs x11, x11, x4 + sbcs x12, x12, x3 + sbcs x13, x13, xzr + sbcs x2, x2, xzr + sbc x9, x9, xzr + lsl x5, x10, #32 + add x10, x5, x10 + mov x5, #-4294967295 + umulh x5, x5, x10 + mov x4, #4294967295 + mul x3, x4, x10 + umulh x4, x4, x10 + adds x5, x5, x3 + adcs x4, x4, x10 + adc x3, xzr, xzr + subs x11, x11, x5 + sbcs x12, x12, x4 + sbcs x13, x13, x3 + sbcs x2, x2, xzr + sbcs x9, x9, xzr + sbc x10, x10, xzr + lsl x5, x11, #32 + add x11, x5, x11 + mov x5, #-4294967295 + umulh x5, x5, x11 + mov x4, #4294967295 + mul x3, x4, x11 + umulh x4, x4, x11 + adds x5, x5, x3 + adcs x4, x4, x11 + adc x3, xzr, xzr + subs x12, x12, x5 + sbcs x13, x13, x4 + sbcs x2, x2, x3 + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbc x11, x11, xzr + lsl x5, x12, #32 + add x12, x5, x12 + mov x5, #-4294967295 + umulh x5, x5, x12 + mov x4, #4294967295 + mul x3, x4, x12 + umulh x4, x4, x12 + adds x5, x5, x3 + adcs x4, x4, x12 + adc x3, xzr, xzr + subs x13, x13, x5 + sbcs x2, x2, x4 + sbcs x9, x9, x3 + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbc x12, x12, xzr + lsl x5, x13, #32 + add x13, x5, x13 + mov x5, #-4294967295 + umulh x5, x5, x13 + mov x4, #4294967295 + mul x3, x4, x13 + umulh x4, x4, x13 + adds x5, x5, x3 + adcs x4, x4, x13 + adc x3, xzr, xzr + subs x2, x2, x5 + sbcs x9, x9, x4 + sbcs x10, x10, x3 + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + adds x2, x2, x14 + adcs x9, x9, x15 + adcs x10, x10, x16 + adcs x11, x11, x17 + adcs x12, x12, x19 + adcs x13, x13, x20 + mov x14, #-4294967295 + mov x15, #4294967295 + csel x14, x14, xzr, hs + csel x15, x15, xzr, hs + cset x16, hs + adds x2, x2, x14 + adcs x9, x9, x15 + adcs x10, x10, x16 + adcs x11, x11, xzr + adcs x12, x12, xzr + adc x13, x13, xzr + stp x2, x9, [sp, #144] + stp x10, x11, [sp, #160] + stp x12, x13, [sp, #176] + ldp x2, x3, [sp, #48] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [sp, #64] + mul x8, x2, x4 + adds x10, x10, x8 + mul x11, x2, x5 + mul x8, x3, x4 + adcs x11, x11, x8 + umulh x12, x2, x5 + mul x8, x3, x5 + adcs x12, x12, x8 + ldp x6, x7, [sp, #80] + mul x13, x2, x7 + mul x8, x3, x6 + adcs x13, x13, x8 + umulh x14, x2, x7 + mul x8, x3, x7 + adcs x14, x14, x8 + mul x15, x5, x6 + adcs x15, x15, xzr + umulh x16, x5, x6 + adc x16, x16, xzr + umulh x8, x2, x4 + adds x11, x11, x8 + umulh x8, x3, x4 + adcs x12, x12, x8 + umulh x8, x3, x5 + adcs x13, x13, x8 + umulh x8, x3, x6 + adcs x14, x14, x8 + umulh x8, x3, x7 + adcs x15, x15, x8 + adc x16, x16, xzr + mul x8, x2, x6 + adds x12, x12, x8 + mul x8, x4, x5 + adcs x13, x13, x8 + mul x8, x4, x6 + adcs x14, x14, x8 + mul x8, x4, x7 + adcs x15, x15, x8 + mul x8, x5, x7 + adcs x16, x16, x8 + mul x17, x6, x7 + adcs x17, x17, xzr + umulh x19, x6, x7 + adc x19, x19, xzr + umulh x8, x2, x6 + adds x13, x13, x8 + umulh x8, x4, x5 + adcs x14, x14, x8 + umulh x8, x4, x6 + adcs x15, x15, x8 + umulh x8, x4, x7 + adcs x16, x16, x8 + umulh x8, x5, x7 + adcs x17, x17, x8 + adc x19, x19, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + adcs x15, x15, x15 + adcs x16, x16, x16 + adcs x17, x17, x17 + adcs x19, x19, x19 + cset x20, hs + umulh x8, x2, x2 + mul x2, x2, x2 + adds x9, x9, x8 + mul x8, x3, x3 + adcs x10, x10, x8 + umulh x8, x3, x3 + adcs x11, x11, x8 + mul x8, x4, x4 + adcs x12, x12, x8 + umulh x8, x4, x4 + adcs x13, x13, x8 + mul x8, x5, x5 + adcs x14, x14, x8 + umulh x8, x5, x5 + adcs x15, x15, x8 + mul x8, x6, x6 + adcs x16, x16, x8 + umulh x8, x6, x6 + adcs x17, x17, x8 + mul x8, x7, x7 + adcs x19, x19, x8 + umulh x8, x7, x7 + adc x20, x20, x8 + lsl x5, x2, #32 + add x2, x5, x2 + mov x5, #-4294967295 + umulh x5, x5, x2 + mov x4, #4294967295 + mul x3, x4, x2 + umulh x4, x4, x2 + adds x5, x5, x3 + adcs x4, x4, x2 + adc x3, xzr, xzr + subs x9, x9, x5 + sbcs x10, x10, x4 + sbcs x11, x11, x3 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x2, x2, xzr + lsl x5, x9, #32 + add x9, x5, x9 + mov x5, #-4294967295 + umulh x5, x5, x9 + mov x4, #4294967295 + mul x3, x4, x9 + umulh x4, x4, x9 + adds x5, x5, x3 + adcs x4, x4, x9 + adc x3, xzr, xzr + subs x10, x10, x5 + sbcs x11, x11, x4 + sbcs x12, x12, x3 + sbcs x13, x13, xzr + sbcs x2, x2, xzr + sbc x9, x9, xzr + lsl x5, x10, #32 + add x10, x5, x10 + mov x5, #-4294967295 + umulh x5, x5, x10 + mov x4, #4294967295 + mul x3, x4, x10 + umulh x4, x4, x10 + adds x5, x5, x3 + adcs x4, x4, x10 + adc x3, xzr, xzr + subs x11, x11, x5 + sbcs x12, x12, x4 + sbcs x13, x13, x3 + sbcs x2, x2, xzr + sbcs x9, x9, xzr + sbc x10, x10, xzr + lsl x5, x11, #32 + add x11, x5, x11 + mov x5, #-4294967295 + umulh x5, x5, x11 + mov x4, #4294967295 + mul x3, x4, x11 + umulh x4, x4, x11 + adds x5, x5, x3 + adcs x4, x4, x11 + adc x3, xzr, xzr + subs x12, x12, x5 + sbcs x13, x13, x4 + sbcs x2, x2, x3 + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbc x11, x11, xzr + lsl x5, x12, #32 + add x12, x5, x12 + mov x5, #-4294967295 + umulh x5, x5, x12 + mov x4, #4294967295 + mul x3, x4, x12 + umulh x4, x4, x12 + adds x5, x5, x3 + adcs x4, x4, x12 + adc x3, xzr, xzr + subs x13, x13, x5 + sbcs x2, x2, x4 + sbcs x9, x9, x3 + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbc x12, x12, xzr + lsl x5, x13, #32 + add x13, x5, x13 + mov x5, #-4294967295 + umulh x5, x5, x13 + mov x4, #4294967295 + mul x3, x4, x13 + umulh x4, x4, x13 + adds x5, x5, x3 + adcs x4, x4, x13 + adc x3, xzr, xzr + subs x2, x2, x5 + sbcs x9, x9, x4 + sbcs x10, x10, x3 + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + adds x2, x2, x14 + adcs x9, x9, x15 + adcs x10, x10, x16 + adcs x11, x11, x17 + adcs x12, x12, x19 + adcs x13, x13, x20 + adc x6, xzr, xzr + mov x8, #-4294967295 + adds x14, x2, x8 + mov x8, #4294967295 + adcs x15, x9, x8 + mov x8, #1 + adcs x16, x10, x8 + adcs x17, x11, xzr + adcs x19, x12, xzr + adcs x20, x13, xzr + adcs x6, x6, xzr + csel x2, x2, x14, eq + csel x9, x9, x15, eq + csel x10, x10, x16, eq + csel x11, x11, x17, eq + csel x12, x12, x19, eq + csel x13, x13, x20, eq + stp x2, x9, [sp] + stp x10, x11, [sp, #16] + stp x12, x13, [sp, #32] + ldp x3, x4, [sp, #144] + ldp x5, x6, [sp, #192] + mul x12, x3, x5 + umulh x13, x3, x5 + mul x11, x3, x6 + umulh x14, x3, x6 + adds x13, x13, x11 + ldp x7, x8, [sp, #208] + mul x11, x3, x7 + umulh x15, x3, x7 + adcs x14, x14, x11 + mul x11, x3, x8 + umulh x16, x3, x8 + adcs x15, x15, x11 + ldp x9, x10, [sp, #224] + mul x11, x3, x9 + umulh x17, x3, x9 + adcs x16, x16, x11 + mul x11, x3, x10 + umulh x19, x3, x10 + adcs x17, x17, x11 + adc x19, x19, xzr + mul x11, x4, x5 + adds x13, x13, x11 + mul x11, x4, x6 + adcs x14, x14, x11 + mul x11, x4, x7 + adcs x15, x15, x11 + mul x11, x4, x8 + adcs x16, x16, x11 + mul x11, x4, x9 + adcs x17, x17, x11 + mul x11, x4, x10 + adcs x19, x19, x11 + cset x20, hs + umulh x11, x4, x5 + adds x14, x14, x11 + umulh x11, x4, x6 + adcs x15, x15, x11 + umulh x11, x4, x7 + adcs x16, x16, x11 + umulh x11, x4, x8 + adcs x17, x17, x11 + umulh x11, x4, x9 + adcs x19, x19, x11 + umulh x11, x4, x10 + adc x20, x20, x11 + ldp x3, x4, [sp, #160] + mul x11, x3, x5 + adds x14, x14, x11 + mul x11, x3, x6 + adcs x15, x15, x11 + mul x11, x3, x7 + adcs x16, x16, x11 + mul x11, x3, x8 + adcs x17, x17, x11 + mul x11, x3, x9 + adcs x19, x19, x11 + mul x11, x3, x10 + adcs x20, x20, x11 + cset x21, hs + umulh x11, x3, x5 + adds x15, x15, x11 + umulh x11, x3, x6 + adcs x16, x16, x11 + umulh x11, x3, x7 + adcs x17, x17, x11 + umulh x11, x3, x8 + adcs x19, x19, x11 + umulh x11, x3, x9 + adcs x20, x20, x11 + umulh x11, x3, x10 + adc x21, x21, x11 + mul x11, x4, x5 + adds x15, x15, x11 + mul x11, x4, x6 + adcs x16, x16, x11 + mul x11, x4, x7 + adcs x17, x17, x11 + mul x11, x4, x8 + adcs x19, x19, x11 + mul x11, x4, x9 + adcs x20, x20, x11 + mul x11, x4, x10 + adcs x21, x21, x11 + cset x22, hs + umulh x11, x4, x5 + adds x16, x16, x11 + umulh x11, x4, x6 + adcs x17, x17, x11 + umulh x11, x4, x7 + adcs x19, x19, x11 + umulh x11, x4, x8 + adcs x20, x20, x11 + umulh x11, x4, x9 + adcs x21, x21, x11 + umulh x11, x4, x10 + adc x22, x22, x11 + ldp x3, x4, [sp, #176] + mul x11, x3, x5 + adds x16, x16, x11 + mul x11, x3, x6 + adcs x17, x17, x11 + mul x11, x3, x7 + adcs x19, x19, x11 + mul x11, x3, x8 + adcs x20, x20, x11 + mul x11, x3, x9 + adcs x21, x21, x11 + mul x11, x3, x10 + adcs x22, x22, x11 + cset x2, hs + umulh x11, x3, x5 + adds x17, x17, x11 + umulh x11, x3, x6 + adcs x19, x19, x11 + umulh x11, x3, x7 + adcs x20, x20, x11 + umulh x11, x3, x8 + adcs x21, x21, x11 + umulh x11, x3, x9 + adcs x22, x22, x11 + umulh x11, x3, x10 + adc x2, x2, x11 + mul x11, x4, x5 + adds x17, x17, x11 + mul x11, x4, x6 + adcs x19, x19, x11 + mul x11, x4, x7 + adcs x20, x20, x11 + mul x11, x4, x8 + adcs x21, x21, x11 + mul x11, x4, x9 + adcs x22, x22, x11 + mul x11, x4, x10 + adcs x2, x2, x11 + cset x1, hs + umulh x11, x4, x5 + adds x19, x19, x11 + umulh x11, x4, x6 + adcs x20, x20, x11 + umulh x11, x4, x7 + adcs x21, x21, x11 + umulh x11, x4, x8 + adcs x22, x22, x11 + umulh x11, x4, x9 + adcs x2, x2, x11 + umulh x11, x4, x10 + adc x1, x1, x11 + lsl x7, x12, #32 + add x12, x7, x12 + mov x7, #-4294967295 + umulh x7, x7, x12 + mov x6, #4294967295 + mul x5, x6, x12 + umulh x6, x6, x12 + adds x7, x7, x5 + adcs x6, x6, x12 + adc x5, xzr, xzr + subs x13, x13, x7 + sbcs x14, x14, x6 + sbcs x15, x15, x5 + sbcs x16, x16, xzr + sbcs x17, x17, xzr + sbc x12, x12, xzr + lsl x7, x13, #32 + add x13, x7, x13 + mov x7, #-4294967295 + umulh x7, x7, x13 + mov x6, #4294967295 + mul x5, x6, x13 + umulh x6, x6, x13 + adds x7, x7, x5 + adcs x6, x6, x13 + adc x5, xzr, xzr + subs x14, x14, x7 + sbcs x15, x15, x6 + sbcs x16, x16, x5 + sbcs x17, x17, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + lsl x7, x14, #32 + add x14, x7, x14 + mov x7, #-4294967295 + umulh x7, x7, x14 + mov x6, #4294967295 + mul x5, x6, x14 + umulh x6, x6, x14 + adds x7, x7, x5 + adcs x6, x6, x14 + adc x5, xzr, xzr + subs x15, x15, x7 + sbcs x16, x16, x6 + sbcs x17, x17, x5 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x14, x14, xzr + lsl x7, x15, #32 + add x15, x7, x15 + mov x7, #-4294967295 + umulh x7, x7, x15 + mov x6, #4294967295 + mul x5, x6, x15 + umulh x6, x6, x15 + adds x7, x7, x5 + adcs x6, x6, x15 + adc x5, xzr, xzr + subs x16, x16, x7 + sbcs x17, x17, x6 + sbcs x12, x12, x5 + sbcs x13, x13, xzr + sbcs x14, x14, xzr + sbc x15, x15, xzr + lsl x7, x16, #32 + add x16, x7, x16 + mov x7, #-4294967295 + umulh x7, x7, x16 + mov x6, #4294967295 + mul x5, x6, x16 + umulh x6, x6, x16 + adds x7, x7, x5 + adcs x6, x6, x16 + adc x5, xzr, xzr + subs x17, x17, x7 + sbcs x12, x12, x6 + sbcs x13, x13, x5 + sbcs x14, x14, xzr + sbcs x15, x15, xzr + sbc x16, x16, xzr + lsl x7, x17, #32 + add x17, x7, x17 + mov x7, #-4294967295 + umulh x7, x7, x17 + mov x6, #4294967295 + mul x5, x6, x17 + umulh x6, x6, x17 + adds x7, x7, x5 + adcs x6, x6, x17 + adc x5, xzr, xzr + subs x12, x12, x7 + sbcs x13, x13, x6 + sbcs x14, x14, x5 + sbcs x15, x15, xzr + sbcs x16, x16, xzr + sbc x17, x17, xzr + adds x12, x12, x19 + adcs x13, x13, x20 + adcs x14, x14, x21 + adcs x15, x15, x22 + adcs x16, x16, x2 + adcs x17, x17, x1 + adc x10, xzr, xzr + mov x11, #-4294967295 + adds x19, x12, x11 + mov x11, #4294967295 + adcs x20, x13, x11 + mov x11, #1 + adcs x21, x14, x11 + adcs x22, x15, xzr + adcs x2, x16, xzr + adcs x1, x17, xzr + adcs x10, x10, xzr + csel x12, x12, x19, eq + csel x13, x13, x20, eq + csel x14, x14, x21, eq + csel x15, x15, x22, eq + csel x16, x16, x2, eq + csel x17, x17, x1, eq + stp x12, x13, [sp, #192] + stp x14, x15, [sp, #208] + stp x16, x17, [sp, #224] + ldp x3, x4, [sp, #144] + ldp x5, x6, [sp, #96] + mul x12, x3, x5 + umulh x13, x3, x5 + mul x11, x3, x6 + umulh x14, x3, x6 + adds x13, x13, x11 + ldp x7, x8, [sp, #112] + mul x11, x3, x7 + umulh x15, x3, x7 + adcs x14, x14, x11 + mul x11, x3, x8 + umulh x16, x3, x8 + adcs x15, x15, x11 + ldp x9, x10, [sp, #128] + mul x11, x3, x9 + umulh x17, x3, x9 + adcs x16, x16, x11 + mul x11, x3, x10 + umulh x19, x3, x10 + adcs x17, x17, x11 + adc x19, x19, xzr + mul x11, x4, x5 + adds x13, x13, x11 + mul x11, x4, x6 + adcs x14, x14, x11 + mul x11, x4, x7 + adcs x15, x15, x11 + mul x11, x4, x8 + adcs x16, x16, x11 + mul x11, x4, x9 + adcs x17, x17, x11 + mul x11, x4, x10 + adcs x19, x19, x11 + cset x20, hs + umulh x11, x4, x5 + adds x14, x14, x11 + umulh x11, x4, x6 + adcs x15, x15, x11 + umulh x11, x4, x7 + adcs x16, x16, x11 + umulh x11, x4, x8 + adcs x17, x17, x11 + umulh x11, x4, x9 + adcs x19, x19, x11 + umulh x11, x4, x10 + adc x20, x20, x11 + ldp x3, x4, [sp, #160] + mul x11, x3, x5 + adds x14, x14, x11 + mul x11, x3, x6 + adcs x15, x15, x11 + mul x11, x3, x7 + adcs x16, x16, x11 + mul x11, x3, x8 + adcs x17, x17, x11 + mul x11, x3, x9 + adcs x19, x19, x11 + mul x11, x3, x10 + adcs x20, x20, x11 + cset x21, hs + umulh x11, x3, x5 + adds x15, x15, x11 + umulh x11, x3, x6 + adcs x16, x16, x11 + umulh x11, x3, x7 + adcs x17, x17, x11 + umulh x11, x3, x8 + adcs x19, x19, x11 + umulh x11, x3, x9 + adcs x20, x20, x11 + umulh x11, x3, x10 + adc x21, x21, x11 + mul x11, x4, x5 + adds x15, x15, x11 + mul x11, x4, x6 + adcs x16, x16, x11 + mul x11, x4, x7 + adcs x17, x17, x11 + mul x11, x4, x8 + adcs x19, x19, x11 + mul x11, x4, x9 + adcs x20, x20, x11 + mul x11, x4, x10 + adcs x21, x21, x11 + cset x22, hs + umulh x11, x4, x5 + adds x16, x16, x11 + umulh x11, x4, x6 + adcs x17, x17, x11 + umulh x11, x4, x7 + adcs x19, x19, x11 + umulh x11, x4, x8 + adcs x20, x20, x11 + umulh x11, x4, x9 + adcs x21, x21, x11 + umulh x11, x4, x10 + adc x22, x22, x11 + ldp x3, x4, [sp, #176] + mul x11, x3, x5 + adds x16, x16, x11 + mul x11, x3, x6 + adcs x17, x17, x11 + mul x11, x3, x7 + adcs x19, x19, x11 + mul x11, x3, x8 + adcs x20, x20, x11 + mul x11, x3, x9 + adcs x21, x21, x11 + mul x11, x3, x10 + adcs x22, x22, x11 + cset x2, hs + umulh x11, x3, x5 + adds x17, x17, x11 + umulh x11, x3, x6 + adcs x19, x19, x11 + umulh x11, x3, x7 + adcs x20, x20, x11 + umulh x11, x3, x8 + adcs x21, x21, x11 + umulh x11, x3, x9 + adcs x22, x22, x11 + umulh x11, x3, x10 + adc x2, x2, x11 + mul x11, x4, x5 + adds x17, x17, x11 + mul x11, x4, x6 + adcs x19, x19, x11 + mul x11, x4, x7 + adcs x20, x20, x11 + mul x11, x4, x8 + adcs x21, x21, x11 + mul x11, x4, x9 + adcs x22, x22, x11 + mul x11, x4, x10 + adcs x2, x2, x11 + cset x1, hs + umulh x11, x4, x5 + adds x19, x19, x11 + umulh x11, x4, x6 + adcs x20, x20, x11 + umulh x11, x4, x7 + adcs x21, x21, x11 + umulh x11, x4, x8 + adcs x22, x22, x11 + umulh x11, x4, x9 + adcs x2, x2, x11 + umulh x11, x4, x10 + adc x1, x1, x11 + lsl x7, x12, #32 + add x12, x7, x12 + mov x7, #-4294967295 + umulh x7, x7, x12 + mov x6, #4294967295 + mul x5, x6, x12 + umulh x6, x6, x12 + adds x7, x7, x5 + adcs x6, x6, x12 + adc x5, xzr, xzr + subs x13, x13, x7 + sbcs x14, x14, x6 + sbcs x15, x15, x5 + sbcs x16, x16, xzr + sbcs x17, x17, xzr + sbc x12, x12, xzr + lsl x7, x13, #32 + add x13, x7, x13 + mov x7, #-4294967295 + umulh x7, x7, x13 + mov x6, #4294967295 + mul x5, x6, x13 + umulh x6, x6, x13 + adds x7, x7, x5 + adcs x6, x6, x13 + adc x5, xzr, xzr + subs x14, x14, x7 + sbcs x15, x15, x6 + sbcs x16, x16, x5 + sbcs x17, x17, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + lsl x7, x14, #32 + add x14, x7, x14 + mov x7, #-4294967295 + umulh x7, x7, x14 + mov x6, #4294967295 + mul x5, x6, x14 + umulh x6, x6, x14 + adds x7, x7, x5 + adcs x6, x6, x14 + adc x5, xzr, xzr + subs x15, x15, x7 + sbcs x16, x16, x6 + sbcs x17, x17, x5 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x14, x14, xzr + lsl x7, x15, #32 + add x15, x7, x15 + mov x7, #-4294967295 + umulh x7, x7, x15 + mov x6, #4294967295 + mul x5, x6, x15 + umulh x6, x6, x15 + adds x7, x7, x5 + adcs x6, x6, x15 + adc x5, xzr, xzr + subs x16, x16, x7 + sbcs x17, x17, x6 + sbcs x12, x12, x5 + sbcs x13, x13, xzr + sbcs x14, x14, xzr + sbc x15, x15, xzr + lsl x7, x16, #32 + add x16, x7, x16 + mov x7, #-4294967295 + umulh x7, x7, x16 + mov x6, #4294967295 + mul x5, x6, x16 + umulh x6, x6, x16 + adds x7, x7, x5 + adcs x6, x6, x16 + adc x5, xzr, xzr + subs x17, x17, x7 + sbcs x12, x12, x6 + sbcs x13, x13, x5 + sbcs x14, x14, xzr + sbcs x15, x15, xzr + sbc x16, x16, xzr + lsl x7, x17, #32 + add x17, x7, x17 + mov x7, #-4294967295 + umulh x7, x7, x17 + mov x6, #4294967295 + mul x5, x6, x17 + umulh x6, x6, x17 + adds x7, x7, x5 + adcs x6, x6, x17 + adc x5, xzr, xzr + subs x12, x12, x7 + sbcs x13, x13, x6 + sbcs x14, x14, x5 + sbcs x15, x15, xzr + sbcs x16, x16, xzr + sbc x17, x17, xzr + adds x12, x12, x19 + adcs x13, x13, x20 + adcs x14, x14, x21 + adcs x15, x15, x22 + adcs x16, x16, x2 + adcs x17, x17, x1 + adc x10, xzr, xzr + mov x11, #-4294967295 + adds x19, x12, x11 + mov x11, #4294967295 + adcs x20, x13, x11 + mov x11, #1 + adcs x21, x14, x11 + adcs x22, x15, xzr + adcs x2, x16, xzr + adcs x1, x17, xzr + adcs x10, x10, xzr + csel x12, x12, x19, eq + csel x13, x13, x20, eq + csel x14, x14, x21, eq + csel x15, x15, x22, eq + csel x16, x16, x2, eq + csel x17, x17, x1, eq + stp x12, x13, [sp, #96] + stp x14, x15, [sp, #112] + stp x16, x17, [sp, #128] + ldp x5, x6, [sp] + ldp x4, x3, [sp, #192] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #16] + ldp x4, x3, [sp, #208] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [sp, #32] + ldp x4, x3, [sp, #224] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + csetm x3, lo + mov x4, #4294967295 + and x4, x4, x3 + adds x5, x5, x4 + eor x4, x4, x3 + adcs x6, x6, x4 + mov x4, #-2 + and x4, x4, x3 + adcs x7, x7, x4 + adcs x8, x8, x3 + adcs x9, x9, x3 + adc x10, x10, x3 + stp x5, x6, [sp] + stp x7, x8, [sp, #16] + stp x9, x10, [sp, #32] + ldp x5, x6, [sp, #96] + ldp x4, x3, [sp, #192] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #112] + ldp x4, x3, [sp, #208] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [sp, #128] + ldp x4, x3, [sp, #224] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + csetm x3, lo + mov x4, #4294967295 + and x4, x4, x3 + adds x5, x5, x4 + eor x4, x4, x3 + adcs x6, x6, x4 + mov x4, #-2 + and x4, x4, x3 + adcs x7, x7, x4 + adcs x8, x8, x3 + adcs x9, x9, x3 + adc x10, x10, x3 + stp x5, x6, [sp, #144] + stp x7, x8, [sp, #160] + stp x9, x10, [sp, #176] + ldp x3, x4, [sp, #240] + ldp x5, x6, [x25, #96] + mul x12, x3, x5 + umulh x13, x3, x5 + mul x11, x3, x6 + umulh x14, x3, x6 + adds x13, x13, x11 + ldp x7, x8, [x25, #112] + mul x11, x3, x7 + umulh x15, x3, x7 + adcs x14, x14, x11 + mul x11, x3, x8 + umulh x16, x3, x8 + adcs x15, x15, x11 + ldp x9, x10, [x25, #128] + mul x11, x3, x9 + umulh x17, x3, x9 + adcs x16, x16, x11 + mul x11, x3, x10 + umulh x19, x3, x10 + adcs x17, x17, x11 + adc x19, x19, xzr + mul x11, x4, x5 + adds x13, x13, x11 + mul x11, x4, x6 + adcs x14, x14, x11 + mul x11, x4, x7 + adcs x15, x15, x11 + mul x11, x4, x8 + adcs x16, x16, x11 + mul x11, x4, x9 + adcs x17, x17, x11 + mul x11, x4, x10 + adcs x19, x19, x11 + cset x20, hs + umulh x11, x4, x5 + adds x14, x14, x11 + umulh x11, x4, x6 + adcs x15, x15, x11 + umulh x11, x4, x7 + adcs x16, x16, x11 + umulh x11, x4, x8 + adcs x17, x17, x11 + umulh x11, x4, x9 + adcs x19, x19, x11 + umulh x11, x4, x10 + adc x20, x20, x11 + ldp x3, x4, [sp, #256] + mul x11, x3, x5 + adds x14, x14, x11 + mul x11, x3, x6 + adcs x15, x15, x11 + mul x11, x3, x7 + adcs x16, x16, x11 + mul x11, x3, x8 + adcs x17, x17, x11 + mul x11, x3, x9 + adcs x19, x19, x11 + mul x11, x3, x10 + adcs x20, x20, x11 + cset x21, hs + umulh x11, x3, x5 + adds x15, x15, x11 + umulh x11, x3, x6 + adcs x16, x16, x11 + umulh x11, x3, x7 + adcs x17, x17, x11 + umulh x11, x3, x8 + adcs x19, x19, x11 + umulh x11, x3, x9 + adcs x20, x20, x11 + umulh x11, x3, x10 + adc x21, x21, x11 + mul x11, x4, x5 + adds x15, x15, x11 + mul x11, x4, x6 + adcs x16, x16, x11 + mul x11, x4, x7 + adcs x17, x17, x11 + mul x11, x4, x8 + adcs x19, x19, x11 + mul x11, x4, x9 + adcs x20, x20, x11 + mul x11, x4, x10 + adcs x21, x21, x11 + cset x22, hs + umulh x11, x4, x5 + adds x16, x16, x11 + umulh x11, x4, x6 + adcs x17, x17, x11 + umulh x11, x4, x7 + adcs x19, x19, x11 + umulh x11, x4, x8 + adcs x20, x20, x11 + umulh x11, x4, x9 + adcs x21, x21, x11 + umulh x11, x4, x10 + adc x22, x22, x11 + ldp x3, x4, [sp, #272] + mul x11, x3, x5 + adds x16, x16, x11 + mul x11, x3, x6 + adcs x17, x17, x11 + mul x11, x3, x7 + adcs x19, x19, x11 + mul x11, x3, x8 + adcs x20, x20, x11 + mul x11, x3, x9 + adcs x21, x21, x11 + mul x11, x3, x10 + adcs x22, x22, x11 + cset x2, hs + umulh x11, x3, x5 + adds x17, x17, x11 + umulh x11, x3, x6 + adcs x19, x19, x11 + umulh x11, x3, x7 + adcs x20, x20, x11 + umulh x11, x3, x8 + adcs x21, x21, x11 + umulh x11, x3, x9 + adcs x22, x22, x11 + umulh x11, x3, x10 + adc x2, x2, x11 + mul x11, x4, x5 + adds x17, x17, x11 + mul x11, x4, x6 + adcs x19, x19, x11 + mul x11, x4, x7 + adcs x20, x20, x11 + mul x11, x4, x8 + adcs x21, x21, x11 + mul x11, x4, x9 + adcs x22, x22, x11 + mul x11, x4, x10 + adcs x2, x2, x11 + cset x1, hs + umulh x11, x4, x5 + adds x19, x19, x11 + umulh x11, x4, x6 + adcs x20, x20, x11 + umulh x11, x4, x7 + adcs x21, x21, x11 + umulh x11, x4, x8 + adcs x22, x22, x11 + umulh x11, x4, x9 + adcs x2, x2, x11 + umulh x11, x4, x10 + adc x1, x1, x11 + lsl x7, x12, #32 + add x12, x7, x12 + mov x7, #-4294967295 + umulh x7, x7, x12 + mov x6, #4294967295 + mul x5, x6, x12 + umulh x6, x6, x12 + adds x7, x7, x5 + adcs x6, x6, x12 + adc x5, xzr, xzr + subs x13, x13, x7 + sbcs x14, x14, x6 + sbcs x15, x15, x5 + sbcs x16, x16, xzr + sbcs x17, x17, xzr + sbc x12, x12, xzr + lsl x7, x13, #32 + add x13, x7, x13 + mov x7, #-4294967295 + umulh x7, x7, x13 + mov x6, #4294967295 + mul x5, x6, x13 + umulh x6, x6, x13 + adds x7, x7, x5 + adcs x6, x6, x13 + adc x5, xzr, xzr + subs x14, x14, x7 + sbcs x15, x15, x6 + sbcs x16, x16, x5 + sbcs x17, x17, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + lsl x7, x14, #32 + add x14, x7, x14 + mov x7, #-4294967295 + umulh x7, x7, x14 + mov x6, #4294967295 + mul x5, x6, x14 + umulh x6, x6, x14 + adds x7, x7, x5 + adcs x6, x6, x14 + adc x5, xzr, xzr + subs x15, x15, x7 + sbcs x16, x16, x6 + sbcs x17, x17, x5 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x14, x14, xzr + lsl x7, x15, #32 + add x15, x7, x15 + mov x7, #-4294967295 + umulh x7, x7, x15 + mov x6, #4294967295 + mul x5, x6, x15 + umulh x6, x6, x15 + adds x7, x7, x5 + adcs x6, x6, x15 + adc x5, xzr, xzr + subs x16, x16, x7 + sbcs x17, x17, x6 + sbcs x12, x12, x5 + sbcs x13, x13, xzr + sbcs x14, x14, xzr + sbc x15, x15, xzr + lsl x7, x16, #32 + add x16, x7, x16 + mov x7, #-4294967295 + umulh x7, x7, x16 + mov x6, #4294967295 + mul x5, x6, x16 + umulh x6, x6, x16 + adds x7, x7, x5 + adcs x6, x6, x16 + adc x5, xzr, xzr + subs x17, x17, x7 + sbcs x12, x12, x6 + sbcs x13, x13, x5 + sbcs x14, x14, xzr + sbcs x15, x15, xzr + sbc x16, x16, xzr + lsl x7, x17, #32 + add x17, x7, x17 + mov x7, #-4294967295 + umulh x7, x7, x17 + mov x6, #4294967295 + mul x5, x6, x17 + umulh x6, x6, x17 + adds x7, x7, x5 + adcs x6, x6, x17 + adc x5, xzr, xzr + subs x12, x12, x7 + sbcs x13, x13, x6 + sbcs x14, x14, x5 + sbcs x15, x15, xzr + sbcs x16, x16, xzr + sbc x17, x17, xzr + adds x12, x12, x19 + adcs x13, x13, x20 + adcs x14, x14, x21 + adcs x15, x15, x22 + adcs x16, x16, x2 + adcs x17, x17, x1 + adc x10, xzr, xzr + mov x11, #-4294967295 + adds x19, x12, x11 + mov x11, #4294967295 + adcs x20, x13, x11 + mov x11, #1 + adcs x21, x14, x11 + adcs x22, x15, xzr + adcs x2, x16, xzr + adcs x1, x17, xzr + adcs x10, x10, xzr + csel x12, x12, x19, eq + csel x13, x13, x20, eq + csel x14, x14, x21, eq + csel x15, x15, x22, eq + csel x16, x16, x2, eq + csel x17, x17, x1, eq + stp x12, x13, [sp, #240] + stp x14, x15, [sp, #256] + stp x16, x17, [sp, #272] + ldp x5, x6, [sp] + ldp x4, x3, [sp, #96] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #16] + ldp x4, x3, [sp, #112] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [sp, #32] + ldp x4, x3, [sp, #128] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + csetm x3, lo + mov x4, #4294967295 + and x4, x4, x3 + adds x5, x5, x4 + eor x4, x4, x3 + adcs x6, x6, x4 + mov x4, #-2 + and x4, x4, x3 + adcs x7, x7, x4 + adcs x8, x8, x3 + adcs x9, x9, x3 + adc x10, x10, x3 + stp x5, x6, [sp] + stp x7, x8, [sp, #16] + stp x9, x10, [sp, #32] + ldp x5, x6, [sp, #192] + ldp x4, x3, [sp] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #208] + ldp x4, x3, [sp, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [sp, #224] + ldp x4, x3, [sp, #32] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + csetm x3, lo + mov x4, #4294967295 + and x4, x4, x3 + adds x5, x5, x4 + eor x4, x4, x3 + adcs x6, x6, x4 + mov x4, #-2 + and x4, x4, x3 + adcs x7, x7, x4 + adcs x8, x8, x3 + adcs x9, x9, x3 + adc x10, x10, x3 + stp x5, x6, [sp, #192] + stp x7, x8, [sp, #208] + stp x9, x10, [sp, #224] + ldp x3, x4, [sp, #144] + ldp x5, x6, [sp, #288] + mul x12, x3, x5 + umulh x13, x3, x5 + mul x11, x3, x6 + umulh x14, x3, x6 + adds x13, x13, x11 + ldp x7, x8, [sp, #304] + mul x11, x3, x7 + umulh x15, x3, x7 + adcs x14, x14, x11 + mul x11, x3, x8 + umulh x16, x3, x8 + adcs x15, x15, x11 + ldp x9, x10, [sp, #320] + mul x11, x3, x9 + umulh x17, x3, x9 + adcs x16, x16, x11 + mul x11, x3, x10 + umulh x19, x3, x10 + adcs x17, x17, x11 + adc x19, x19, xzr + mul x11, x4, x5 + adds x13, x13, x11 + mul x11, x4, x6 + adcs x14, x14, x11 + mul x11, x4, x7 + adcs x15, x15, x11 + mul x11, x4, x8 + adcs x16, x16, x11 + mul x11, x4, x9 + adcs x17, x17, x11 + mul x11, x4, x10 + adcs x19, x19, x11 + cset x20, hs + umulh x11, x4, x5 + adds x14, x14, x11 + umulh x11, x4, x6 + adcs x15, x15, x11 + umulh x11, x4, x7 + adcs x16, x16, x11 + umulh x11, x4, x8 + adcs x17, x17, x11 + umulh x11, x4, x9 + adcs x19, x19, x11 + umulh x11, x4, x10 + adc x20, x20, x11 + ldp x3, x4, [sp, #160] + mul x11, x3, x5 + adds x14, x14, x11 + mul x11, x3, x6 + adcs x15, x15, x11 + mul x11, x3, x7 + adcs x16, x16, x11 + mul x11, x3, x8 + adcs x17, x17, x11 + mul x11, x3, x9 + adcs x19, x19, x11 + mul x11, x3, x10 + adcs x20, x20, x11 + cset x21, hs + umulh x11, x3, x5 + adds x15, x15, x11 + umulh x11, x3, x6 + adcs x16, x16, x11 + umulh x11, x3, x7 + adcs x17, x17, x11 + umulh x11, x3, x8 + adcs x19, x19, x11 + umulh x11, x3, x9 + adcs x20, x20, x11 + umulh x11, x3, x10 + adc x21, x21, x11 + mul x11, x4, x5 + adds x15, x15, x11 + mul x11, x4, x6 + adcs x16, x16, x11 + mul x11, x4, x7 + adcs x17, x17, x11 + mul x11, x4, x8 + adcs x19, x19, x11 + mul x11, x4, x9 + adcs x20, x20, x11 + mul x11, x4, x10 + adcs x21, x21, x11 + cset x22, hs + umulh x11, x4, x5 + adds x16, x16, x11 + umulh x11, x4, x6 + adcs x17, x17, x11 + umulh x11, x4, x7 + adcs x19, x19, x11 + umulh x11, x4, x8 + adcs x20, x20, x11 + umulh x11, x4, x9 + adcs x21, x21, x11 + umulh x11, x4, x10 + adc x22, x22, x11 + ldp x3, x4, [sp, #176] + mul x11, x3, x5 + adds x16, x16, x11 + mul x11, x3, x6 + adcs x17, x17, x11 + mul x11, x3, x7 + adcs x19, x19, x11 + mul x11, x3, x8 + adcs x20, x20, x11 + mul x11, x3, x9 + adcs x21, x21, x11 + mul x11, x3, x10 + adcs x22, x22, x11 + cset x2, hs + umulh x11, x3, x5 + adds x17, x17, x11 + umulh x11, x3, x6 + adcs x19, x19, x11 + umulh x11, x3, x7 + adcs x20, x20, x11 + umulh x11, x3, x8 + adcs x21, x21, x11 + umulh x11, x3, x9 + adcs x22, x22, x11 + umulh x11, x3, x10 + adc x2, x2, x11 + mul x11, x4, x5 + adds x17, x17, x11 + mul x11, x4, x6 + adcs x19, x19, x11 + mul x11, x4, x7 + adcs x20, x20, x11 + mul x11, x4, x8 + adcs x21, x21, x11 + mul x11, x4, x9 + adcs x22, x22, x11 + mul x11, x4, x10 + adcs x2, x2, x11 + cset x1, hs + umulh x11, x4, x5 + adds x19, x19, x11 + umulh x11, x4, x6 + adcs x20, x20, x11 + umulh x11, x4, x7 + adcs x21, x21, x11 + umulh x11, x4, x8 + adcs x22, x22, x11 + umulh x11, x4, x9 + adcs x2, x2, x11 + umulh x11, x4, x10 + adc x1, x1, x11 + lsl x7, x12, #32 + add x12, x7, x12 + mov x7, #-4294967295 + umulh x7, x7, x12 + mov x6, #4294967295 + mul x5, x6, x12 + umulh x6, x6, x12 + adds x7, x7, x5 + adcs x6, x6, x12 + adc x5, xzr, xzr + subs x13, x13, x7 + sbcs x14, x14, x6 + sbcs x15, x15, x5 + sbcs x16, x16, xzr + sbcs x17, x17, xzr + sbc x12, x12, xzr + lsl x7, x13, #32 + add x13, x7, x13 + mov x7, #-4294967295 + umulh x7, x7, x13 + mov x6, #4294967295 + mul x5, x6, x13 + umulh x6, x6, x13 + adds x7, x7, x5 + adcs x6, x6, x13 + adc x5, xzr, xzr + subs x14, x14, x7 + sbcs x15, x15, x6 + sbcs x16, x16, x5 + sbcs x17, x17, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + lsl x7, x14, #32 + add x14, x7, x14 + mov x7, #-4294967295 + umulh x7, x7, x14 + mov x6, #4294967295 + mul x5, x6, x14 + umulh x6, x6, x14 + adds x7, x7, x5 + adcs x6, x6, x14 + adc x5, xzr, xzr + subs x15, x15, x7 + sbcs x16, x16, x6 + sbcs x17, x17, x5 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x14, x14, xzr + lsl x7, x15, #32 + add x15, x7, x15 + mov x7, #-4294967295 + umulh x7, x7, x15 + mov x6, #4294967295 + mul x5, x6, x15 + umulh x6, x6, x15 + adds x7, x7, x5 + adcs x6, x6, x15 + adc x5, xzr, xzr + subs x16, x16, x7 + sbcs x17, x17, x6 + sbcs x12, x12, x5 + sbcs x13, x13, xzr + sbcs x14, x14, xzr + sbc x15, x15, xzr + lsl x7, x16, #32 + add x16, x7, x16 + mov x7, #-4294967295 + umulh x7, x7, x16 + mov x6, #4294967295 + mul x5, x6, x16 + umulh x6, x6, x16 + adds x7, x7, x5 + adcs x6, x6, x16 + adc x5, xzr, xzr + subs x17, x17, x7 + sbcs x12, x12, x6 + sbcs x13, x13, x5 + sbcs x14, x14, xzr + sbcs x15, x15, xzr + sbc x16, x16, xzr + lsl x7, x17, #32 + add x17, x7, x17 + mov x7, #-4294967295 + umulh x7, x7, x17 + mov x6, #4294967295 + mul x5, x6, x17 + umulh x6, x6, x17 + adds x7, x7, x5 + adcs x6, x6, x17 + adc x5, xzr, xzr + subs x12, x12, x7 + sbcs x13, x13, x6 + sbcs x14, x14, x5 + sbcs x15, x15, xzr + sbcs x16, x16, xzr + sbc x17, x17, xzr + adds x12, x12, x19 + adcs x13, x13, x20 + adcs x14, x14, x21 + adcs x15, x15, x22 + adcs x16, x16, x2 + adcs x17, x17, x1 + adc x10, xzr, xzr + mov x11, #-4294967295 + adds x19, x12, x11 + mov x11, #4294967295 + adcs x20, x13, x11 + mov x11, #1 + adcs x21, x14, x11 + adcs x22, x15, xzr + adcs x2, x16, xzr + adcs x1, x17, xzr + adcs x10, x10, xzr + csel x12, x12, x19, eq + csel x13, x13, x20, eq + csel x14, x14, x21, eq + csel x15, x15, x22, eq + csel x16, x16, x2, eq + csel x17, x17, x1, eq + stp x12, x13, [sp, #144] + stp x14, x15, [sp, #160] + stp x16, x17, [sp, #176] + ldp x3, x4, [sp, #240] + ldp x5, x6, [x26, #96] + mul x12, x3, x5 + umulh x13, x3, x5 + mul x11, x3, x6 + umulh x14, x3, x6 + adds x13, x13, x11 + ldp x7, x8, [x26, #112] + mul x11, x3, x7 + umulh x15, x3, x7 + adcs x14, x14, x11 + mul x11, x3, x8 + umulh x16, x3, x8 + adcs x15, x15, x11 + ldp x9, x10, [x26, #128] + mul x11, x3, x9 + umulh x17, x3, x9 + adcs x16, x16, x11 + mul x11, x3, x10 + umulh x19, x3, x10 + adcs x17, x17, x11 + adc x19, x19, xzr + mul x11, x4, x5 + adds x13, x13, x11 + mul x11, x4, x6 + adcs x14, x14, x11 + mul x11, x4, x7 + adcs x15, x15, x11 + mul x11, x4, x8 + adcs x16, x16, x11 + mul x11, x4, x9 + adcs x17, x17, x11 + mul x11, x4, x10 + adcs x19, x19, x11 + cset x20, hs + umulh x11, x4, x5 + adds x14, x14, x11 + umulh x11, x4, x6 + adcs x15, x15, x11 + umulh x11, x4, x7 + adcs x16, x16, x11 + umulh x11, x4, x8 + adcs x17, x17, x11 + umulh x11, x4, x9 + adcs x19, x19, x11 + umulh x11, x4, x10 + adc x20, x20, x11 + ldp x3, x4, [sp, #256] + mul x11, x3, x5 + adds x14, x14, x11 + mul x11, x3, x6 + adcs x15, x15, x11 + mul x11, x3, x7 + adcs x16, x16, x11 + mul x11, x3, x8 + adcs x17, x17, x11 + mul x11, x3, x9 + adcs x19, x19, x11 + mul x11, x3, x10 + adcs x20, x20, x11 + cset x21, hs + umulh x11, x3, x5 + adds x15, x15, x11 + umulh x11, x3, x6 + adcs x16, x16, x11 + umulh x11, x3, x7 + adcs x17, x17, x11 + umulh x11, x3, x8 + adcs x19, x19, x11 + umulh x11, x3, x9 + adcs x20, x20, x11 + umulh x11, x3, x10 + adc x21, x21, x11 + mul x11, x4, x5 + adds x15, x15, x11 + mul x11, x4, x6 + adcs x16, x16, x11 + mul x11, x4, x7 + adcs x17, x17, x11 + mul x11, x4, x8 + adcs x19, x19, x11 + mul x11, x4, x9 + adcs x20, x20, x11 + mul x11, x4, x10 + adcs x21, x21, x11 + cset x22, hs + umulh x11, x4, x5 + adds x16, x16, x11 + umulh x11, x4, x6 + adcs x17, x17, x11 + umulh x11, x4, x7 + adcs x19, x19, x11 + umulh x11, x4, x8 + adcs x20, x20, x11 + umulh x11, x4, x9 + adcs x21, x21, x11 + umulh x11, x4, x10 + adc x22, x22, x11 + ldp x3, x4, [sp, #272] + mul x11, x3, x5 + adds x16, x16, x11 + mul x11, x3, x6 + adcs x17, x17, x11 + mul x11, x3, x7 + adcs x19, x19, x11 + mul x11, x3, x8 + adcs x20, x20, x11 + mul x11, x3, x9 + adcs x21, x21, x11 + mul x11, x3, x10 + adcs x22, x22, x11 + cset x2, hs + umulh x11, x3, x5 + adds x17, x17, x11 + umulh x11, x3, x6 + adcs x19, x19, x11 + umulh x11, x3, x7 + adcs x20, x20, x11 + umulh x11, x3, x8 + adcs x21, x21, x11 + umulh x11, x3, x9 + adcs x22, x22, x11 + umulh x11, x3, x10 + adc x2, x2, x11 + mul x11, x4, x5 + adds x17, x17, x11 + mul x11, x4, x6 + adcs x19, x19, x11 + mul x11, x4, x7 + adcs x20, x20, x11 + mul x11, x4, x8 + adcs x21, x21, x11 + mul x11, x4, x9 + adcs x22, x22, x11 + mul x11, x4, x10 + adcs x2, x2, x11 + cset x1, hs + umulh x11, x4, x5 + adds x19, x19, x11 + umulh x11, x4, x6 + adcs x20, x20, x11 + umulh x11, x4, x7 + adcs x21, x21, x11 + umulh x11, x4, x8 + adcs x22, x22, x11 + umulh x11, x4, x9 + adcs x2, x2, x11 + umulh x11, x4, x10 + adc x1, x1, x11 + lsl x7, x12, #32 + add x12, x7, x12 + mov x7, #-4294967295 + umulh x7, x7, x12 + mov x6, #4294967295 + mul x5, x6, x12 + umulh x6, x6, x12 + adds x7, x7, x5 + adcs x6, x6, x12 + adc x5, xzr, xzr + subs x13, x13, x7 + sbcs x14, x14, x6 + sbcs x15, x15, x5 + sbcs x16, x16, xzr + sbcs x17, x17, xzr + sbc x12, x12, xzr + lsl x7, x13, #32 + add x13, x7, x13 + mov x7, #-4294967295 + umulh x7, x7, x13 + mov x6, #4294967295 + mul x5, x6, x13 + umulh x6, x6, x13 + adds x7, x7, x5 + adcs x6, x6, x13 + adc x5, xzr, xzr + subs x14, x14, x7 + sbcs x15, x15, x6 + sbcs x16, x16, x5 + sbcs x17, x17, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + lsl x7, x14, #32 + add x14, x7, x14 + mov x7, #-4294967295 + umulh x7, x7, x14 + mov x6, #4294967295 + mul x5, x6, x14 + umulh x6, x6, x14 + adds x7, x7, x5 + adcs x6, x6, x14 + adc x5, xzr, xzr + subs x15, x15, x7 + sbcs x16, x16, x6 + sbcs x17, x17, x5 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x14, x14, xzr + lsl x7, x15, #32 + add x15, x7, x15 + mov x7, #-4294967295 + umulh x7, x7, x15 + mov x6, #4294967295 + mul x5, x6, x15 + umulh x6, x6, x15 + adds x7, x7, x5 + adcs x6, x6, x15 + adc x5, xzr, xzr + subs x16, x16, x7 + sbcs x17, x17, x6 + sbcs x12, x12, x5 + sbcs x13, x13, xzr + sbcs x14, x14, xzr + sbc x15, x15, xzr + lsl x7, x16, #32 + add x16, x7, x16 + mov x7, #-4294967295 + umulh x7, x7, x16 + mov x6, #4294967295 + mul x5, x6, x16 + umulh x6, x6, x16 + adds x7, x7, x5 + adcs x6, x6, x16 + adc x5, xzr, xzr + subs x17, x17, x7 + sbcs x12, x12, x6 + sbcs x13, x13, x5 + sbcs x14, x14, xzr + sbcs x15, x15, xzr + sbc x16, x16, xzr + lsl x7, x17, #32 + add x17, x7, x17 + mov x7, #-4294967295 + umulh x7, x7, x17 + mov x6, #4294967295 + mul x5, x6, x17 + umulh x6, x6, x17 + adds x7, x7, x5 + adcs x6, x6, x17 + adc x5, xzr, xzr + subs x12, x12, x7 + sbcs x13, x13, x6 + sbcs x14, x14, x5 + sbcs x15, x15, xzr + sbcs x16, x16, xzr + sbc x17, x17, xzr + adds x12, x12, x19 + adcs x13, x13, x20 + adcs x14, x14, x21 + adcs x15, x15, x22 + adcs x16, x16, x2 + adcs x17, x17, x1 + adc x10, xzr, xzr + mov x11, #-4294967295 + adds x19, x12, x11 + mov x11, #4294967295 + adcs x20, x13, x11 + mov x11, #1 + adcs x21, x14, x11 + adcs x22, x15, xzr + adcs x2, x16, xzr + adcs x1, x17, xzr + adcs x10, x10, xzr + csel x12, x12, x19, eq + csel x13, x13, x20, eq + csel x14, x14, x21, eq + csel x15, x15, x22, eq + csel x16, x16, x2, eq + csel x17, x17, x1, eq + stp x12, x13, [sp, #240] + stp x14, x15, [sp, #256] + stp x16, x17, [sp, #272] + ldp x3, x4, [sp, #48] + ldp x5, x6, [sp, #192] + mul x12, x3, x5 + umulh x13, x3, x5 + mul x11, x3, x6 + umulh x14, x3, x6 + adds x13, x13, x11 + ldp x7, x8, [sp, #208] + mul x11, x3, x7 + umulh x15, x3, x7 + adcs x14, x14, x11 + mul x11, x3, x8 + umulh x16, x3, x8 + adcs x15, x15, x11 + ldp x9, x10, [sp, #224] + mul x11, x3, x9 + umulh x17, x3, x9 + adcs x16, x16, x11 + mul x11, x3, x10 + umulh x19, x3, x10 + adcs x17, x17, x11 + adc x19, x19, xzr + mul x11, x4, x5 + adds x13, x13, x11 + mul x11, x4, x6 + adcs x14, x14, x11 + mul x11, x4, x7 + adcs x15, x15, x11 + mul x11, x4, x8 + adcs x16, x16, x11 + mul x11, x4, x9 + adcs x17, x17, x11 + mul x11, x4, x10 + adcs x19, x19, x11 + cset x20, hs + umulh x11, x4, x5 + adds x14, x14, x11 + umulh x11, x4, x6 + adcs x15, x15, x11 + umulh x11, x4, x7 + adcs x16, x16, x11 + umulh x11, x4, x8 + adcs x17, x17, x11 + umulh x11, x4, x9 + adcs x19, x19, x11 + umulh x11, x4, x10 + adc x20, x20, x11 + ldp x3, x4, [sp, #64] + mul x11, x3, x5 + adds x14, x14, x11 + mul x11, x3, x6 + adcs x15, x15, x11 + mul x11, x3, x7 + adcs x16, x16, x11 + mul x11, x3, x8 + adcs x17, x17, x11 + mul x11, x3, x9 + adcs x19, x19, x11 + mul x11, x3, x10 + adcs x20, x20, x11 + cset x21, hs + umulh x11, x3, x5 + adds x15, x15, x11 + umulh x11, x3, x6 + adcs x16, x16, x11 + umulh x11, x3, x7 + adcs x17, x17, x11 + umulh x11, x3, x8 + adcs x19, x19, x11 + umulh x11, x3, x9 + adcs x20, x20, x11 + umulh x11, x3, x10 + adc x21, x21, x11 + mul x11, x4, x5 + adds x15, x15, x11 + mul x11, x4, x6 + adcs x16, x16, x11 + mul x11, x4, x7 + adcs x17, x17, x11 + mul x11, x4, x8 + adcs x19, x19, x11 + mul x11, x4, x9 + adcs x20, x20, x11 + mul x11, x4, x10 + adcs x21, x21, x11 + cset x22, hs + umulh x11, x4, x5 + adds x16, x16, x11 + umulh x11, x4, x6 + adcs x17, x17, x11 + umulh x11, x4, x7 + adcs x19, x19, x11 + umulh x11, x4, x8 + adcs x20, x20, x11 + umulh x11, x4, x9 + adcs x21, x21, x11 + umulh x11, x4, x10 + adc x22, x22, x11 + ldp x3, x4, [sp, #80] + mul x11, x3, x5 + adds x16, x16, x11 + mul x11, x3, x6 + adcs x17, x17, x11 + mul x11, x3, x7 + adcs x19, x19, x11 + mul x11, x3, x8 + adcs x20, x20, x11 + mul x11, x3, x9 + adcs x21, x21, x11 + mul x11, x3, x10 + adcs x22, x22, x11 + cset x2, hs + umulh x11, x3, x5 + adds x17, x17, x11 + umulh x11, x3, x6 + adcs x19, x19, x11 + umulh x11, x3, x7 + adcs x20, x20, x11 + umulh x11, x3, x8 + adcs x21, x21, x11 + umulh x11, x3, x9 + adcs x22, x22, x11 + umulh x11, x3, x10 + adc x2, x2, x11 + mul x11, x4, x5 + adds x17, x17, x11 + mul x11, x4, x6 + adcs x19, x19, x11 + mul x11, x4, x7 + adcs x20, x20, x11 + mul x11, x4, x8 + adcs x21, x21, x11 + mul x11, x4, x9 + adcs x22, x22, x11 + mul x11, x4, x10 + adcs x2, x2, x11 + cset x1, hs + umulh x11, x4, x5 + adds x19, x19, x11 + umulh x11, x4, x6 + adcs x20, x20, x11 + umulh x11, x4, x7 + adcs x21, x21, x11 + umulh x11, x4, x8 + adcs x22, x22, x11 + umulh x11, x4, x9 + adcs x2, x2, x11 + umulh x11, x4, x10 + adc x1, x1, x11 + lsl x7, x12, #32 + add x12, x7, x12 + mov x7, #-4294967295 + umulh x7, x7, x12 + mov x6, #4294967295 + mul x5, x6, x12 + umulh x6, x6, x12 + adds x7, x7, x5 + adcs x6, x6, x12 + adc x5, xzr, xzr + subs x13, x13, x7 + sbcs x14, x14, x6 + sbcs x15, x15, x5 + sbcs x16, x16, xzr + sbcs x17, x17, xzr + sbc x12, x12, xzr + lsl x7, x13, #32 + add x13, x7, x13 + mov x7, #-4294967295 + umulh x7, x7, x13 + mov x6, #4294967295 + mul x5, x6, x13 + umulh x6, x6, x13 + adds x7, x7, x5 + adcs x6, x6, x13 + adc x5, xzr, xzr + subs x14, x14, x7 + sbcs x15, x15, x6 + sbcs x16, x16, x5 + sbcs x17, x17, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + lsl x7, x14, #32 + add x14, x7, x14 + mov x7, #-4294967295 + umulh x7, x7, x14 + mov x6, #4294967295 + mul x5, x6, x14 + umulh x6, x6, x14 + adds x7, x7, x5 + adcs x6, x6, x14 + adc x5, xzr, xzr + subs x15, x15, x7 + sbcs x16, x16, x6 + sbcs x17, x17, x5 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x14, x14, xzr + lsl x7, x15, #32 + add x15, x7, x15 + mov x7, #-4294967295 + umulh x7, x7, x15 + mov x6, #4294967295 + mul x5, x6, x15 + umulh x6, x6, x15 + adds x7, x7, x5 + adcs x6, x6, x15 + adc x5, xzr, xzr + subs x16, x16, x7 + sbcs x17, x17, x6 + sbcs x12, x12, x5 + sbcs x13, x13, xzr + sbcs x14, x14, xzr + sbc x15, x15, xzr + lsl x7, x16, #32 + add x16, x7, x16 + mov x7, #-4294967295 + umulh x7, x7, x16 + mov x6, #4294967295 + mul x5, x6, x16 + umulh x6, x6, x16 + adds x7, x7, x5 + adcs x6, x6, x16 + adc x5, xzr, xzr + subs x17, x17, x7 + sbcs x12, x12, x6 + sbcs x13, x13, x5 + sbcs x14, x14, xzr + sbcs x15, x15, xzr + sbc x16, x16, xzr + lsl x7, x17, #32 + add x17, x7, x17 + mov x7, #-4294967295 + umulh x7, x7, x17 + mov x6, #4294967295 + mul x5, x6, x17 + umulh x6, x6, x17 + adds x7, x7, x5 + adcs x6, x6, x17 + adc x5, xzr, xzr + subs x12, x12, x7 + sbcs x13, x13, x6 + sbcs x14, x14, x5 + sbcs x15, x15, xzr + sbcs x16, x16, xzr + sbc x17, x17, xzr + adds x12, x12, x19 + adcs x13, x13, x20 + adcs x14, x14, x21 + adcs x15, x15, x22 + adcs x16, x16, x2 + adcs x17, x17, x1 + adc x10, xzr, xzr + mov x11, #-4294967295 + adds x19, x12, x11 + mov x11, #4294967295 + adcs x20, x13, x11 + mov x11, #1 + adcs x21, x14, x11 + adcs x22, x15, xzr + adcs x2, x16, xzr + adcs x1, x17, xzr + adcs x10, x10, xzr + csel x12, x12, x19, eq + csel x13, x13, x20, eq + csel x14, x14, x21, eq + csel x15, x15, x22, eq + csel x16, x16, x2, eq + csel x17, x17, x1, eq + stp x12, x13, [sp, #192] + stp x14, x15, [sp, #208] + stp x16, x17, [sp, #224] + ldp x5, x6, [sp, #192] + ldp x4, x3, [sp, #144] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #208] + ldp x4, x3, [sp, #160] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [sp, #224] + ldp x4, x3, [sp, #176] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + csetm x3, lo + mov x4, #4294967295 + and x4, x4, x3 + adds x5, x5, x4 + eor x4, x4, x3 + adcs x6, x6, x4 + mov x4, #-2 + and x4, x4, x3 + adcs x7, x7, x4 + adcs x8, x8, x3 + adcs x9, x9, x3 + adc x10, x10, x3 + stp x5, x6, [sp, #192] + stp x7, x8, [sp, #208] + stp x9, x10, [sp, #224] + ldp x0, x1, [x25, #96] + ldp x2, x3, [x25, #112] + ldp x4, x5, [x25, #128] + orr x20, x0, x1 + orr x21, x2, x3 + orr x22, x4, x5 + orr x20, x20, x21 + orr x20, x20, x22 + cmp x20, xzr + cset x20, ne + ldp x6, x7, [x26, #96] + ldp x8, x9, [x26, #112] + ldp x10, x11, [x26, #128] + orr x21, x6, x7 + orr x22, x8, x9 + orr x23, x10, x11 + orr x21, x21, x22 + orr x21, x21, x23 + cmp x21, xzr + cset x21, ne + cmp x21, x20 + ldp x12, x13, [sp, #240] + csel x12, x0, x12, lo + csel x13, x1, x13, lo + csel x12, x6, x12, hi + csel x13, x7, x13, hi + ldp x14, x15, [sp, #256] + csel x14, x2, x14, lo + csel x15, x3, x15, lo + csel x14, x8, x14, hi + csel x15, x9, x15, hi + ldp x16, x17, [sp, #272] + csel x16, x4, x16, lo + csel x17, x5, x17, lo + csel x16, x10, x16, hi + csel x17, x11, x17, hi + ldp x20, x21, [x25] + ldp x0, x1, [sp] + csel x0, x20, x0, lo + csel x1, x21, x1, lo + ldp x20, x21, [x26] + csel x0, x20, x0, hi + csel x1, x21, x1, hi + ldp x20, x21, [x25, #16] + ldp x2, x3, [sp, #16] + csel x2, x20, x2, lo + csel x3, x21, x3, lo + ldp x20, x21, [x26, #16] + csel x2, x20, x2, hi + csel x3, x21, x3, hi + ldp x20, x21, [x25, #32] + ldp x4, x5, [sp, #32] + csel x4, x20, x4, lo + csel x5, x21, x5, lo + ldp x20, x21, [x26, #32] + csel x4, x20, x4, hi + csel x5, x21, x5, hi + ldp x20, x21, [x25, #48] + ldp x6, x7, [sp, #192] + csel x6, x20, x6, lo + csel x7, x21, x7, lo + ldp x20, x21, [x26, #48] + csel x6, x20, x6, hi + csel x7, x21, x7, hi + ldp x20, x21, [x25, #64] + ldp x8, x9, [sp, #208] + csel x8, x20, x8, lo + csel x9, x21, x9, lo + ldp x20, x21, [x26, #64] + csel x8, x20, x8, hi + csel x9, x21, x9, hi + ldp x20, x21, [x25, #80] + ldp x10, x11, [sp, #224] + csel x10, x20, x10, lo + csel x11, x21, x11, lo + ldp x20, x21, [x26, #80] + csel x10, x20, x10, hi + csel x11, x21, x11, hi + stp x0, x1, [x24] + stp x2, x3, [x24, #16] + stp x4, x5, [x24, #32] + stp x6, x7, [x24, #48] + stp x8, x9, [x24, #64] + stp x10, x11, [x24, #80] + stp x12, x13, [x24, #96] + stp x14, x15, [x24, #112] + stp x16, x17, [x24, #128] + CFI_INC_SP(336) + CFI_POP2(x25,x26) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp384_montjscalarmul_alt_p384_montjadd) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp384_montjscalarmul_alt_p384_montjdouble) + +Lp384_montjscalarmul_alt_p384_montjdouble: + CFI_START + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_DEC_SP(336) + mov x23, x0 + mov x24, x1 + ldp x2, x3, [x24, #96] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [x24, #112] + mul x8, x2, x4 + adds x10, x10, x8 + mul x11, x2, x5 + mul x8, x3, x4 + adcs x11, x11, x8 + umulh x12, x2, x5 + mul x8, x3, x5 + adcs x12, x12, x8 + ldp x6, x7, [x24, #128] + mul x13, x2, x7 + mul x8, x3, x6 + adcs x13, x13, x8 + umulh x14, x2, x7 + mul x8, x3, x7 + adcs x14, x14, x8 + mul x15, x5, x6 + adcs x15, x15, xzr + umulh x16, x5, x6 + adc x16, x16, xzr + umulh x8, x2, x4 + adds x11, x11, x8 + umulh x8, x3, x4 + adcs x12, x12, x8 + umulh x8, x3, x5 + adcs x13, x13, x8 + umulh x8, x3, x6 + adcs x14, x14, x8 + umulh x8, x3, x7 + adcs x15, x15, x8 + adc x16, x16, xzr + mul x8, x2, x6 + adds x12, x12, x8 + mul x8, x4, x5 + adcs x13, x13, x8 + mul x8, x4, x6 + adcs x14, x14, x8 + mul x8, x4, x7 + adcs x15, x15, x8 + mul x8, x5, x7 + adcs x16, x16, x8 + mul x17, x6, x7 + adcs x17, x17, xzr + umulh x19, x6, x7 + adc x19, x19, xzr + umulh x8, x2, x6 + adds x13, x13, x8 + umulh x8, x4, x5 + adcs x14, x14, x8 + umulh x8, x4, x6 + adcs x15, x15, x8 + umulh x8, x4, x7 + adcs x16, x16, x8 + umulh x8, x5, x7 + adcs x17, x17, x8 + adc x19, x19, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + adcs x15, x15, x15 + adcs x16, x16, x16 + adcs x17, x17, x17 + adcs x19, x19, x19 + cset x20, hs + umulh x8, x2, x2 + mul x2, x2, x2 + adds x9, x9, x8 + mul x8, x3, x3 + adcs x10, x10, x8 + umulh x8, x3, x3 + adcs x11, x11, x8 + mul x8, x4, x4 + adcs x12, x12, x8 + umulh x8, x4, x4 + adcs x13, x13, x8 + mul x8, x5, x5 + adcs x14, x14, x8 + umulh x8, x5, x5 + adcs x15, x15, x8 + mul x8, x6, x6 + adcs x16, x16, x8 + umulh x8, x6, x6 + adcs x17, x17, x8 + mul x8, x7, x7 + adcs x19, x19, x8 + umulh x8, x7, x7 + adc x20, x20, x8 + lsl x5, x2, #32 + add x2, x5, x2 + mov x5, #-4294967295 + umulh x5, x5, x2 + mov x4, #4294967295 + mul x3, x4, x2 + umulh x4, x4, x2 + adds x5, x5, x3 + adcs x4, x4, x2 + adc x3, xzr, xzr + subs x9, x9, x5 + sbcs x10, x10, x4 + sbcs x11, x11, x3 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x2, x2, xzr + lsl x5, x9, #32 + add x9, x5, x9 + mov x5, #-4294967295 + umulh x5, x5, x9 + mov x4, #4294967295 + mul x3, x4, x9 + umulh x4, x4, x9 + adds x5, x5, x3 + adcs x4, x4, x9 + adc x3, xzr, xzr + subs x10, x10, x5 + sbcs x11, x11, x4 + sbcs x12, x12, x3 + sbcs x13, x13, xzr + sbcs x2, x2, xzr + sbc x9, x9, xzr + lsl x5, x10, #32 + add x10, x5, x10 + mov x5, #-4294967295 + umulh x5, x5, x10 + mov x4, #4294967295 + mul x3, x4, x10 + umulh x4, x4, x10 + adds x5, x5, x3 + adcs x4, x4, x10 + adc x3, xzr, xzr + subs x11, x11, x5 + sbcs x12, x12, x4 + sbcs x13, x13, x3 + sbcs x2, x2, xzr + sbcs x9, x9, xzr + sbc x10, x10, xzr + lsl x5, x11, #32 + add x11, x5, x11 + mov x5, #-4294967295 + umulh x5, x5, x11 + mov x4, #4294967295 + mul x3, x4, x11 + umulh x4, x4, x11 + adds x5, x5, x3 + adcs x4, x4, x11 + adc x3, xzr, xzr + subs x12, x12, x5 + sbcs x13, x13, x4 + sbcs x2, x2, x3 + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbc x11, x11, xzr + lsl x5, x12, #32 + add x12, x5, x12 + mov x5, #-4294967295 + umulh x5, x5, x12 + mov x4, #4294967295 + mul x3, x4, x12 + umulh x4, x4, x12 + adds x5, x5, x3 + adcs x4, x4, x12 + adc x3, xzr, xzr + subs x13, x13, x5 + sbcs x2, x2, x4 + sbcs x9, x9, x3 + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbc x12, x12, xzr + lsl x5, x13, #32 + add x13, x5, x13 + mov x5, #-4294967295 + umulh x5, x5, x13 + mov x4, #4294967295 + mul x3, x4, x13 + umulh x4, x4, x13 + adds x5, x5, x3 + adcs x4, x4, x13 + adc x3, xzr, xzr + subs x2, x2, x5 + sbcs x9, x9, x4 + sbcs x10, x10, x3 + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + adds x2, x2, x14 + adcs x9, x9, x15 + adcs x10, x10, x16 + adcs x11, x11, x17 + adcs x12, x12, x19 + adcs x13, x13, x20 + adc x6, xzr, xzr + mov x8, #-4294967295 + adds x14, x2, x8 + mov x8, #4294967295 + adcs x15, x9, x8 + mov x8, #1 + adcs x16, x10, x8 + adcs x17, x11, xzr + adcs x19, x12, xzr + adcs x20, x13, xzr + adcs x6, x6, xzr + csel x2, x2, x14, eq + csel x9, x9, x15, eq + csel x10, x10, x16, eq + csel x11, x11, x17, eq + csel x12, x12, x19, eq + csel x13, x13, x20, eq + stp x2, x9, [sp] + stp x10, x11, [sp, #16] + stp x12, x13, [sp, #32] + ldp x2, x3, [x24, #48] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [x24, #64] + mul x8, x2, x4 + adds x10, x10, x8 + mul x11, x2, x5 + mul x8, x3, x4 + adcs x11, x11, x8 + umulh x12, x2, x5 + mul x8, x3, x5 + adcs x12, x12, x8 + ldp x6, x7, [x24, #80] + mul x13, x2, x7 + mul x8, x3, x6 + adcs x13, x13, x8 + umulh x14, x2, x7 + mul x8, x3, x7 + adcs x14, x14, x8 + mul x15, x5, x6 + adcs x15, x15, xzr + umulh x16, x5, x6 + adc x16, x16, xzr + umulh x8, x2, x4 + adds x11, x11, x8 + umulh x8, x3, x4 + adcs x12, x12, x8 + umulh x8, x3, x5 + adcs x13, x13, x8 + umulh x8, x3, x6 + adcs x14, x14, x8 + umulh x8, x3, x7 + adcs x15, x15, x8 + adc x16, x16, xzr + mul x8, x2, x6 + adds x12, x12, x8 + mul x8, x4, x5 + adcs x13, x13, x8 + mul x8, x4, x6 + adcs x14, x14, x8 + mul x8, x4, x7 + adcs x15, x15, x8 + mul x8, x5, x7 + adcs x16, x16, x8 + mul x17, x6, x7 + adcs x17, x17, xzr + umulh x19, x6, x7 + adc x19, x19, xzr + umulh x8, x2, x6 + adds x13, x13, x8 + umulh x8, x4, x5 + adcs x14, x14, x8 + umulh x8, x4, x6 + adcs x15, x15, x8 + umulh x8, x4, x7 + adcs x16, x16, x8 + umulh x8, x5, x7 + adcs x17, x17, x8 + adc x19, x19, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + adcs x15, x15, x15 + adcs x16, x16, x16 + adcs x17, x17, x17 + adcs x19, x19, x19 + cset x20, hs + umulh x8, x2, x2 + mul x2, x2, x2 + adds x9, x9, x8 + mul x8, x3, x3 + adcs x10, x10, x8 + umulh x8, x3, x3 + adcs x11, x11, x8 + mul x8, x4, x4 + adcs x12, x12, x8 + umulh x8, x4, x4 + adcs x13, x13, x8 + mul x8, x5, x5 + adcs x14, x14, x8 + umulh x8, x5, x5 + adcs x15, x15, x8 + mul x8, x6, x6 + adcs x16, x16, x8 + umulh x8, x6, x6 + adcs x17, x17, x8 + mul x8, x7, x7 + adcs x19, x19, x8 + umulh x8, x7, x7 + adc x20, x20, x8 + lsl x5, x2, #32 + add x2, x5, x2 + mov x5, #-4294967295 + umulh x5, x5, x2 + mov x4, #4294967295 + mul x3, x4, x2 + umulh x4, x4, x2 + adds x5, x5, x3 + adcs x4, x4, x2 + adc x3, xzr, xzr + subs x9, x9, x5 + sbcs x10, x10, x4 + sbcs x11, x11, x3 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x2, x2, xzr + lsl x5, x9, #32 + add x9, x5, x9 + mov x5, #-4294967295 + umulh x5, x5, x9 + mov x4, #4294967295 + mul x3, x4, x9 + umulh x4, x4, x9 + adds x5, x5, x3 + adcs x4, x4, x9 + adc x3, xzr, xzr + subs x10, x10, x5 + sbcs x11, x11, x4 + sbcs x12, x12, x3 + sbcs x13, x13, xzr + sbcs x2, x2, xzr + sbc x9, x9, xzr + lsl x5, x10, #32 + add x10, x5, x10 + mov x5, #-4294967295 + umulh x5, x5, x10 + mov x4, #4294967295 + mul x3, x4, x10 + umulh x4, x4, x10 + adds x5, x5, x3 + adcs x4, x4, x10 + adc x3, xzr, xzr + subs x11, x11, x5 + sbcs x12, x12, x4 + sbcs x13, x13, x3 + sbcs x2, x2, xzr + sbcs x9, x9, xzr + sbc x10, x10, xzr + lsl x5, x11, #32 + add x11, x5, x11 + mov x5, #-4294967295 + umulh x5, x5, x11 + mov x4, #4294967295 + mul x3, x4, x11 + umulh x4, x4, x11 + adds x5, x5, x3 + adcs x4, x4, x11 + adc x3, xzr, xzr + subs x12, x12, x5 + sbcs x13, x13, x4 + sbcs x2, x2, x3 + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbc x11, x11, xzr + lsl x5, x12, #32 + add x12, x5, x12 + mov x5, #-4294967295 + umulh x5, x5, x12 + mov x4, #4294967295 + mul x3, x4, x12 + umulh x4, x4, x12 + adds x5, x5, x3 + adcs x4, x4, x12 + adc x3, xzr, xzr + subs x13, x13, x5 + sbcs x2, x2, x4 + sbcs x9, x9, x3 + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbc x12, x12, xzr + lsl x5, x13, #32 + add x13, x5, x13 + mov x5, #-4294967295 + umulh x5, x5, x13 + mov x4, #4294967295 + mul x3, x4, x13 + umulh x4, x4, x13 + adds x5, x5, x3 + adcs x4, x4, x13 + adc x3, xzr, xzr + subs x2, x2, x5 + sbcs x9, x9, x4 + sbcs x10, x10, x3 + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + adds x2, x2, x14 + adcs x9, x9, x15 + adcs x10, x10, x16 + adcs x11, x11, x17 + adcs x12, x12, x19 + adcs x13, x13, x20 + adc x6, xzr, xzr + mov x8, #-4294967295 + adds x14, x2, x8 + mov x8, #4294967295 + adcs x15, x9, x8 + mov x8, #1 + adcs x16, x10, x8 + adcs x17, x11, xzr + adcs x19, x12, xzr + adcs x20, x13, xzr + adcs x6, x6, xzr + csel x2, x2, x14, eq + csel x9, x9, x15, eq + csel x10, x10, x16, eq + csel x11, x11, x17, eq + csel x12, x12, x19, eq + csel x13, x13, x20, eq + stp x2, x9, [sp, #48] + stp x10, x11, [sp, #64] + stp x12, x13, [sp, #80] + ldp x5, x6, [x24] + ldp x4, x3, [sp] + adds x5, x5, x4 + adcs x6, x6, x3 + ldp x7, x8, [x24, #16] + ldp x4, x3, [sp, #16] + adcs x7, x7, x4 + adcs x8, x8, x3 + ldp x9, x10, [x24, #32] + ldp x4, x3, [sp, #32] + adcs x9, x9, x4 + adcs x10, x10, x3 + csetm x3, hs + mov x4, #4294967295 + and x4, x4, x3 + subs x5, x5, x4 + eor x4, x4, x3 + sbcs x6, x6, x4 + mov x4, #-2 + and x4, x4, x3 + sbcs x7, x7, x4 + sbcs x8, x8, x3 + sbcs x9, x9, x3 + sbc x10, x10, x3 + stp x5, x6, [sp, #240] + stp x7, x8, [sp, #256] + stp x9, x10, [sp, #272] + ldp x5, x6, [x24] + ldp x4, x3, [sp] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [x24, #16] + ldp x4, x3, [sp, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [x24, #32] + ldp x4, x3, [sp, #32] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + csetm x3, lo + mov x4, #4294967295 + and x4, x4, x3 + adds x5, x5, x4 + eor x4, x4, x3 + adcs x6, x6, x4 + mov x4, #-2 + and x4, x4, x3 + adcs x7, x7, x4 + adcs x8, x8, x3 + adcs x9, x9, x3 + adc x10, x10, x3 + stp x5, x6, [sp, #192] + stp x7, x8, [sp, #208] + stp x9, x10, [sp, #224] + ldp x3, x4, [sp, #240] + ldp x5, x6, [sp, #192] + mul x12, x3, x5 + umulh x13, x3, x5 + mul x11, x3, x6 + umulh x14, x3, x6 + adds x13, x13, x11 + ldp x7, x8, [sp, #208] + mul x11, x3, x7 + umulh x15, x3, x7 + adcs x14, x14, x11 + mul x11, x3, x8 + umulh x16, x3, x8 + adcs x15, x15, x11 + ldp x9, x10, [sp, #224] + mul x11, x3, x9 + umulh x17, x3, x9 + adcs x16, x16, x11 + mul x11, x3, x10 + umulh x19, x3, x10 + adcs x17, x17, x11 + adc x19, x19, xzr + mul x11, x4, x5 + adds x13, x13, x11 + mul x11, x4, x6 + adcs x14, x14, x11 + mul x11, x4, x7 + adcs x15, x15, x11 + mul x11, x4, x8 + adcs x16, x16, x11 + mul x11, x4, x9 + adcs x17, x17, x11 + mul x11, x4, x10 + adcs x19, x19, x11 + cset x20, hs + umulh x11, x4, x5 + adds x14, x14, x11 + umulh x11, x4, x6 + adcs x15, x15, x11 + umulh x11, x4, x7 + adcs x16, x16, x11 + umulh x11, x4, x8 + adcs x17, x17, x11 + umulh x11, x4, x9 + adcs x19, x19, x11 + umulh x11, x4, x10 + adc x20, x20, x11 + ldp x3, x4, [sp, #256] + mul x11, x3, x5 + adds x14, x14, x11 + mul x11, x3, x6 + adcs x15, x15, x11 + mul x11, x3, x7 + adcs x16, x16, x11 + mul x11, x3, x8 + adcs x17, x17, x11 + mul x11, x3, x9 + adcs x19, x19, x11 + mul x11, x3, x10 + adcs x20, x20, x11 + cset x21, hs + umulh x11, x3, x5 + adds x15, x15, x11 + umulh x11, x3, x6 + adcs x16, x16, x11 + umulh x11, x3, x7 + adcs x17, x17, x11 + umulh x11, x3, x8 + adcs x19, x19, x11 + umulh x11, x3, x9 + adcs x20, x20, x11 + umulh x11, x3, x10 + adc x21, x21, x11 + mul x11, x4, x5 + adds x15, x15, x11 + mul x11, x4, x6 + adcs x16, x16, x11 + mul x11, x4, x7 + adcs x17, x17, x11 + mul x11, x4, x8 + adcs x19, x19, x11 + mul x11, x4, x9 + adcs x20, x20, x11 + mul x11, x4, x10 + adcs x21, x21, x11 + cset x22, hs + umulh x11, x4, x5 + adds x16, x16, x11 + umulh x11, x4, x6 + adcs x17, x17, x11 + umulh x11, x4, x7 + adcs x19, x19, x11 + umulh x11, x4, x8 + adcs x20, x20, x11 + umulh x11, x4, x9 + adcs x21, x21, x11 + umulh x11, x4, x10 + adc x22, x22, x11 + ldp x3, x4, [sp, #272] + mul x11, x3, x5 + adds x16, x16, x11 + mul x11, x3, x6 + adcs x17, x17, x11 + mul x11, x3, x7 + adcs x19, x19, x11 + mul x11, x3, x8 + adcs x20, x20, x11 + mul x11, x3, x9 + adcs x21, x21, x11 + mul x11, x3, x10 + adcs x22, x22, x11 + cset x2, hs + umulh x11, x3, x5 + adds x17, x17, x11 + umulh x11, x3, x6 + adcs x19, x19, x11 + umulh x11, x3, x7 + adcs x20, x20, x11 + umulh x11, x3, x8 + adcs x21, x21, x11 + umulh x11, x3, x9 + adcs x22, x22, x11 + umulh x11, x3, x10 + adc x2, x2, x11 + mul x11, x4, x5 + adds x17, x17, x11 + mul x11, x4, x6 + adcs x19, x19, x11 + mul x11, x4, x7 + adcs x20, x20, x11 + mul x11, x4, x8 + adcs x21, x21, x11 + mul x11, x4, x9 + adcs x22, x22, x11 + mul x11, x4, x10 + adcs x2, x2, x11 + cset x1, hs + umulh x11, x4, x5 + adds x19, x19, x11 + umulh x11, x4, x6 + adcs x20, x20, x11 + umulh x11, x4, x7 + adcs x21, x21, x11 + umulh x11, x4, x8 + adcs x22, x22, x11 + umulh x11, x4, x9 + adcs x2, x2, x11 + umulh x11, x4, x10 + adc x1, x1, x11 + lsl x7, x12, #32 + add x12, x7, x12 + mov x7, #-4294967295 + umulh x7, x7, x12 + mov x6, #4294967295 + mul x5, x6, x12 + umulh x6, x6, x12 + adds x7, x7, x5 + adcs x6, x6, x12 + adc x5, xzr, xzr + subs x13, x13, x7 + sbcs x14, x14, x6 + sbcs x15, x15, x5 + sbcs x16, x16, xzr + sbcs x17, x17, xzr + sbc x12, x12, xzr + lsl x7, x13, #32 + add x13, x7, x13 + mov x7, #-4294967295 + umulh x7, x7, x13 + mov x6, #4294967295 + mul x5, x6, x13 + umulh x6, x6, x13 + adds x7, x7, x5 + adcs x6, x6, x13 + adc x5, xzr, xzr + subs x14, x14, x7 + sbcs x15, x15, x6 + sbcs x16, x16, x5 + sbcs x17, x17, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + lsl x7, x14, #32 + add x14, x7, x14 + mov x7, #-4294967295 + umulh x7, x7, x14 + mov x6, #4294967295 + mul x5, x6, x14 + umulh x6, x6, x14 + adds x7, x7, x5 + adcs x6, x6, x14 + adc x5, xzr, xzr + subs x15, x15, x7 + sbcs x16, x16, x6 + sbcs x17, x17, x5 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x14, x14, xzr + lsl x7, x15, #32 + add x15, x7, x15 + mov x7, #-4294967295 + umulh x7, x7, x15 + mov x6, #4294967295 + mul x5, x6, x15 + umulh x6, x6, x15 + adds x7, x7, x5 + adcs x6, x6, x15 + adc x5, xzr, xzr + subs x16, x16, x7 + sbcs x17, x17, x6 + sbcs x12, x12, x5 + sbcs x13, x13, xzr + sbcs x14, x14, xzr + sbc x15, x15, xzr + lsl x7, x16, #32 + add x16, x7, x16 + mov x7, #-4294967295 + umulh x7, x7, x16 + mov x6, #4294967295 + mul x5, x6, x16 + umulh x6, x6, x16 + adds x7, x7, x5 + adcs x6, x6, x16 + adc x5, xzr, xzr + subs x17, x17, x7 + sbcs x12, x12, x6 + sbcs x13, x13, x5 + sbcs x14, x14, xzr + sbcs x15, x15, xzr + sbc x16, x16, xzr + lsl x7, x17, #32 + add x17, x7, x17 + mov x7, #-4294967295 + umulh x7, x7, x17 + mov x6, #4294967295 + mul x5, x6, x17 + umulh x6, x6, x17 + adds x7, x7, x5 + adcs x6, x6, x17 + adc x5, xzr, xzr + subs x12, x12, x7 + sbcs x13, x13, x6 + sbcs x14, x14, x5 + sbcs x15, x15, xzr + sbcs x16, x16, xzr + sbc x17, x17, xzr + adds x12, x12, x19 + adcs x13, x13, x20 + adcs x14, x14, x21 + adcs x15, x15, x22 + adcs x16, x16, x2 + adcs x17, x17, x1 + adc x10, xzr, xzr + mov x11, #-4294967295 + adds x19, x12, x11 + mov x11, #4294967295 + adcs x20, x13, x11 + mov x11, #1 + adcs x21, x14, x11 + adcs x22, x15, xzr + adcs x2, x16, xzr + adcs x1, x17, xzr + adcs x10, x10, xzr + csel x12, x12, x19, eq + csel x13, x13, x20, eq + csel x14, x14, x21, eq + csel x15, x15, x22, eq + csel x16, x16, x2, eq + csel x17, x17, x1, eq + stp x12, x13, [sp, #96] + stp x14, x15, [sp, #112] + stp x16, x17, [sp, #128] + ldp x5, x6, [x24, #48] + ldp x4, x3, [x24, #96] + adds x5, x5, x4 + adcs x6, x6, x3 + ldp x7, x8, [x24, #64] + ldp x4, x3, [x24, #112] + adcs x7, x7, x4 + adcs x8, x8, x3 + ldp x9, x10, [x24, #80] + ldp x4, x3, [x24, #128] + adcs x9, x9, x4 + adcs x10, x10, x3 + adc x3, xzr, xzr + mov x4, #4294967295 + cmp x5, x4 + mov x4, #-4294967296 + sbcs xzr, x6, x4 + mov x4, #-2 + sbcs xzr, x7, x4 + adcs xzr, x8, xzr + adcs xzr, x9, xzr + adcs xzr, x10, xzr + adcs x3, x3, xzr + csetm x3, ne + mov x4, #4294967295 + and x4, x4, x3 + subs x5, x5, x4 + eor x4, x4, x3 + sbcs x6, x6, x4 + mov x4, #-2 + and x4, x4, x3 + sbcs x7, x7, x4 + sbcs x8, x8, x3 + sbcs x9, x9, x3 + sbc x10, x10, x3 + stp x5, x6, [sp, #240] + stp x7, x8, [sp, #256] + stp x9, x10, [sp, #272] + ldp x2, x3, [sp, #96] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [sp, #112] + mul x8, x2, x4 + adds x10, x10, x8 + mul x11, x2, x5 + mul x8, x3, x4 + adcs x11, x11, x8 + umulh x12, x2, x5 + mul x8, x3, x5 + adcs x12, x12, x8 + ldp x6, x7, [sp, #128] + mul x13, x2, x7 + mul x8, x3, x6 + adcs x13, x13, x8 + umulh x14, x2, x7 + mul x8, x3, x7 + adcs x14, x14, x8 + mul x15, x5, x6 + adcs x15, x15, xzr + umulh x16, x5, x6 + adc x16, x16, xzr + umulh x8, x2, x4 + adds x11, x11, x8 + umulh x8, x3, x4 + adcs x12, x12, x8 + umulh x8, x3, x5 + adcs x13, x13, x8 + umulh x8, x3, x6 + adcs x14, x14, x8 + umulh x8, x3, x7 + adcs x15, x15, x8 + adc x16, x16, xzr + mul x8, x2, x6 + adds x12, x12, x8 + mul x8, x4, x5 + adcs x13, x13, x8 + mul x8, x4, x6 + adcs x14, x14, x8 + mul x8, x4, x7 + adcs x15, x15, x8 + mul x8, x5, x7 + adcs x16, x16, x8 + mul x17, x6, x7 + adcs x17, x17, xzr + umulh x19, x6, x7 + adc x19, x19, xzr + umulh x8, x2, x6 + adds x13, x13, x8 + umulh x8, x4, x5 + adcs x14, x14, x8 + umulh x8, x4, x6 + adcs x15, x15, x8 + umulh x8, x4, x7 + adcs x16, x16, x8 + umulh x8, x5, x7 + adcs x17, x17, x8 + adc x19, x19, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + adcs x15, x15, x15 + adcs x16, x16, x16 + adcs x17, x17, x17 + adcs x19, x19, x19 + cset x20, hs + umulh x8, x2, x2 + mul x2, x2, x2 + adds x9, x9, x8 + mul x8, x3, x3 + adcs x10, x10, x8 + umulh x8, x3, x3 + adcs x11, x11, x8 + mul x8, x4, x4 + adcs x12, x12, x8 + umulh x8, x4, x4 + adcs x13, x13, x8 + mul x8, x5, x5 + adcs x14, x14, x8 + umulh x8, x5, x5 + adcs x15, x15, x8 + mul x8, x6, x6 + adcs x16, x16, x8 + umulh x8, x6, x6 + adcs x17, x17, x8 + mul x8, x7, x7 + adcs x19, x19, x8 + umulh x8, x7, x7 + adc x20, x20, x8 + lsl x5, x2, #32 + add x2, x5, x2 + mov x5, #-4294967295 + umulh x5, x5, x2 + mov x4, #4294967295 + mul x3, x4, x2 + umulh x4, x4, x2 + adds x5, x5, x3 + adcs x4, x4, x2 + adc x3, xzr, xzr + subs x9, x9, x5 + sbcs x10, x10, x4 + sbcs x11, x11, x3 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x2, x2, xzr + lsl x5, x9, #32 + add x9, x5, x9 + mov x5, #-4294967295 + umulh x5, x5, x9 + mov x4, #4294967295 + mul x3, x4, x9 + umulh x4, x4, x9 + adds x5, x5, x3 + adcs x4, x4, x9 + adc x3, xzr, xzr + subs x10, x10, x5 + sbcs x11, x11, x4 + sbcs x12, x12, x3 + sbcs x13, x13, xzr + sbcs x2, x2, xzr + sbc x9, x9, xzr + lsl x5, x10, #32 + add x10, x5, x10 + mov x5, #-4294967295 + umulh x5, x5, x10 + mov x4, #4294967295 + mul x3, x4, x10 + umulh x4, x4, x10 + adds x5, x5, x3 + adcs x4, x4, x10 + adc x3, xzr, xzr + subs x11, x11, x5 + sbcs x12, x12, x4 + sbcs x13, x13, x3 + sbcs x2, x2, xzr + sbcs x9, x9, xzr + sbc x10, x10, xzr + lsl x5, x11, #32 + add x11, x5, x11 + mov x5, #-4294967295 + umulh x5, x5, x11 + mov x4, #4294967295 + mul x3, x4, x11 + umulh x4, x4, x11 + adds x5, x5, x3 + adcs x4, x4, x11 + adc x3, xzr, xzr + subs x12, x12, x5 + sbcs x13, x13, x4 + sbcs x2, x2, x3 + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbc x11, x11, xzr + lsl x5, x12, #32 + add x12, x5, x12 + mov x5, #-4294967295 + umulh x5, x5, x12 + mov x4, #4294967295 + mul x3, x4, x12 + umulh x4, x4, x12 + adds x5, x5, x3 + adcs x4, x4, x12 + adc x3, xzr, xzr + subs x13, x13, x5 + sbcs x2, x2, x4 + sbcs x9, x9, x3 + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbc x12, x12, xzr + lsl x5, x13, #32 + add x13, x5, x13 + mov x5, #-4294967295 + umulh x5, x5, x13 + mov x4, #4294967295 + mul x3, x4, x13 + umulh x4, x4, x13 + adds x5, x5, x3 + adcs x4, x4, x13 + adc x3, xzr, xzr + subs x2, x2, x5 + sbcs x9, x9, x4 + sbcs x10, x10, x3 + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + adds x2, x2, x14 + adcs x9, x9, x15 + adcs x10, x10, x16 + adcs x11, x11, x17 + adcs x12, x12, x19 + adcs x13, x13, x20 + adc x6, xzr, xzr + mov x8, #-4294967295 + adds x14, x2, x8 + mov x8, #4294967295 + adcs x15, x9, x8 + mov x8, #1 + adcs x16, x10, x8 + adcs x17, x11, xzr + adcs x19, x12, xzr + adcs x20, x13, xzr + adcs x6, x6, xzr + csel x2, x2, x14, eq + csel x9, x9, x15, eq + csel x10, x10, x16, eq + csel x11, x11, x17, eq + csel x12, x12, x19, eq + csel x13, x13, x20, eq + stp x2, x9, [sp, #288] + stp x10, x11, [sp, #304] + stp x12, x13, [sp, #320] + ldp x3, x4, [x24] + ldp x5, x6, [sp, #48] + mul x12, x3, x5 + umulh x13, x3, x5 + mul x11, x3, x6 + umulh x14, x3, x6 + adds x13, x13, x11 + ldp x7, x8, [sp, #64] + mul x11, x3, x7 + umulh x15, x3, x7 + adcs x14, x14, x11 + mul x11, x3, x8 + umulh x16, x3, x8 + adcs x15, x15, x11 + ldp x9, x10, [sp, #80] + mul x11, x3, x9 + umulh x17, x3, x9 + adcs x16, x16, x11 + mul x11, x3, x10 + umulh x19, x3, x10 + adcs x17, x17, x11 + adc x19, x19, xzr + mul x11, x4, x5 + adds x13, x13, x11 + mul x11, x4, x6 + adcs x14, x14, x11 + mul x11, x4, x7 + adcs x15, x15, x11 + mul x11, x4, x8 + adcs x16, x16, x11 + mul x11, x4, x9 + adcs x17, x17, x11 + mul x11, x4, x10 + adcs x19, x19, x11 + cset x20, hs + umulh x11, x4, x5 + adds x14, x14, x11 + umulh x11, x4, x6 + adcs x15, x15, x11 + umulh x11, x4, x7 + adcs x16, x16, x11 + umulh x11, x4, x8 + adcs x17, x17, x11 + umulh x11, x4, x9 + adcs x19, x19, x11 + umulh x11, x4, x10 + adc x20, x20, x11 + ldp x3, x4, [x24, #16] + mul x11, x3, x5 + adds x14, x14, x11 + mul x11, x3, x6 + adcs x15, x15, x11 + mul x11, x3, x7 + adcs x16, x16, x11 + mul x11, x3, x8 + adcs x17, x17, x11 + mul x11, x3, x9 + adcs x19, x19, x11 + mul x11, x3, x10 + adcs x20, x20, x11 + cset x21, hs + umulh x11, x3, x5 + adds x15, x15, x11 + umulh x11, x3, x6 + adcs x16, x16, x11 + umulh x11, x3, x7 + adcs x17, x17, x11 + umulh x11, x3, x8 + adcs x19, x19, x11 + umulh x11, x3, x9 + adcs x20, x20, x11 + umulh x11, x3, x10 + adc x21, x21, x11 + mul x11, x4, x5 + adds x15, x15, x11 + mul x11, x4, x6 + adcs x16, x16, x11 + mul x11, x4, x7 + adcs x17, x17, x11 + mul x11, x4, x8 + adcs x19, x19, x11 + mul x11, x4, x9 + adcs x20, x20, x11 + mul x11, x4, x10 + adcs x21, x21, x11 + cset x22, hs + umulh x11, x4, x5 + adds x16, x16, x11 + umulh x11, x4, x6 + adcs x17, x17, x11 + umulh x11, x4, x7 + adcs x19, x19, x11 + umulh x11, x4, x8 + adcs x20, x20, x11 + umulh x11, x4, x9 + adcs x21, x21, x11 + umulh x11, x4, x10 + adc x22, x22, x11 + ldp x3, x4, [x24, #32] + mul x11, x3, x5 + adds x16, x16, x11 + mul x11, x3, x6 + adcs x17, x17, x11 + mul x11, x3, x7 + adcs x19, x19, x11 + mul x11, x3, x8 + adcs x20, x20, x11 + mul x11, x3, x9 + adcs x21, x21, x11 + mul x11, x3, x10 + adcs x22, x22, x11 + cset x2, hs + umulh x11, x3, x5 + adds x17, x17, x11 + umulh x11, x3, x6 + adcs x19, x19, x11 + umulh x11, x3, x7 + adcs x20, x20, x11 + umulh x11, x3, x8 + adcs x21, x21, x11 + umulh x11, x3, x9 + adcs x22, x22, x11 + umulh x11, x3, x10 + adc x2, x2, x11 + mul x11, x4, x5 + adds x17, x17, x11 + mul x11, x4, x6 + adcs x19, x19, x11 + mul x11, x4, x7 + adcs x20, x20, x11 + mul x11, x4, x8 + adcs x21, x21, x11 + mul x11, x4, x9 + adcs x22, x22, x11 + mul x11, x4, x10 + adcs x2, x2, x11 + cset x1, hs + umulh x11, x4, x5 + adds x19, x19, x11 + umulh x11, x4, x6 + adcs x20, x20, x11 + umulh x11, x4, x7 + adcs x21, x21, x11 + umulh x11, x4, x8 + adcs x22, x22, x11 + umulh x11, x4, x9 + adcs x2, x2, x11 + umulh x11, x4, x10 + adc x1, x1, x11 + lsl x7, x12, #32 + add x12, x7, x12 + mov x7, #-4294967295 + umulh x7, x7, x12 + mov x6, #4294967295 + mul x5, x6, x12 + umulh x6, x6, x12 + adds x7, x7, x5 + adcs x6, x6, x12 + adc x5, xzr, xzr + subs x13, x13, x7 + sbcs x14, x14, x6 + sbcs x15, x15, x5 + sbcs x16, x16, xzr + sbcs x17, x17, xzr + sbc x12, x12, xzr + lsl x7, x13, #32 + add x13, x7, x13 + mov x7, #-4294967295 + umulh x7, x7, x13 + mov x6, #4294967295 + mul x5, x6, x13 + umulh x6, x6, x13 + adds x7, x7, x5 + adcs x6, x6, x13 + adc x5, xzr, xzr + subs x14, x14, x7 + sbcs x15, x15, x6 + sbcs x16, x16, x5 + sbcs x17, x17, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + lsl x7, x14, #32 + add x14, x7, x14 + mov x7, #-4294967295 + umulh x7, x7, x14 + mov x6, #4294967295 + mul x5, x6, x14 + umulh x6, x6, x14 + adds x7, x7, x5 + adcs x6, x6, x14 + adc x5, xzr, xzr + subs x15, x15, x7 + sbcs x16, x16, x6 + sbcs x17, x17, x5 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x14, x14, xzr + lsl x7, x15, #32 + add x15, x7, x15 + mov x7, #-4294967295 + umulh x7, x7, x15 + mov x6, #4294967295 + mul x5, x6, x15 + umulh x6, x6, x15 + adds x7, x7, x5 + adcs x6, x6, x15 + adc x5, xzr, xzr + subs x16, x16, x7 + sbcs x17, x17, x6 + sbcs x12, x12, x5 + sbcs x13, x13, xzr + sbcs x14, x14, xzr + sbc x15, x15, xzr + lsl x7, x16, #32 + add x16, x7, x16 + mov x7, #-4294967295 + umulh x7, x7, x16 + mov x6, #4294967295 + mul x5, x6, x16 + umulh x6, x6, x16 + adds x7, x7, x5 + adcs x6, x6, x16 + adc x5, xzr, xzr + subs x17, x17, x7 + sbcs x12, x12, x6 + sbcs x13, x13, x5 + sbcs x14, x14, xzr + sbcs x15, x15, xzr + sbc x16, x16, xzr + lsl x7, x17, #32 + add x17, x7, x17 + mov x7, #-4294967295 + umulh x7, x7, x17 + mov x6, #4294967295 + mul x5, x6, x17 + umulh x6, x6, x17 + adds x7, x7, x5 + adcs x6, x6, x17 + adc x5, xzr, xzr + subs x12, x12, x7 + sbcs x13, x13, x6 + sbcs x14, x14, x5 + sbcs x15, x15, xzr + sbcs x16, x16, xzr + sbc x17, x17, xzr + adds x12, x12, x19 + adcs x13, x13, x20 + adcs x14, x14, x21 + adcs x15, x15, x22 + adcs x16, x16, x2 + adcs x17, x17, x1 + adc x10, xzr, xzr + mov x11, #-4294967295 + adds x19, x12, x11 + mov x11, #4294967295 + adcs x20, x13, x11 + mov x11, #1 + adcs x21, x14, x11 + adcs x22, x15, xzr + adcs x2, x16, xzr + adcs x1, x17, xzr + adcs x10, x10, xzr + csel x12, x12, x19, eq + csel x13, x13, x20, eq + csel x14, x14, x21, eq + csel x15, x15, x22, eq + csel x16, x16, x2, eq + csel x17, x17, x1, eq + stp x12, x13, [sp, #144] + stp x14, x15, [sp, #160] + stp x16, x17, [sp, #176] + ldp x2, x3, [sp, #240] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [sp, #256] + mul x8, x2, x4 + adds x10, x10, x8 + mul x11, x2, x5 + mul x8, x3, x4 + adcs x11, x11, x8 + umulh x12, x2, x5 + mul x8, x3, x5 + adcs x12, x12, x8 + ldp x6, x7, [sp, #272] + mul x13, x2, x7 + mul x8, x3, x6 + adcs x13, x13, x8 + umulh x14, x2, x7 + mul x8, x3, x7 + adcs x14, x14, x8 + mul x15, x5, x6 + adcs x15, x15, xzr + umulh x16, x5, x6 + adc x16, x16, xzr + umulh x8, x2, x4 + adds x11, x11, x8 + umulh x8, x3, x4 + adcs x12, x12, x8 + umulh x8, x3, x5 + adcs x13, x13, x8 + umulh x8, x3, x6 + adcs x14, x14, x8 + umulh x8, x3, x7 + adcs x15, x15, x8 + adc x16, x16, xzr + mul x8, x2, x6 + adds x12, x12, x8 + mul x8, x4, x5 + adcs x13, x13, x8 + mul x8, x4, x6 + adcs x14, x14, x8 + mul x8, x4, x7 + adcs x15, x15, x8 + mul x8, x5, x7 + adcs x16, x16, x8 + mul x17, x6, x7 + adcs x17, x17, xzr + umulh x19, x6, x7 + adc x19, x19, xzr + umulh x8, x2, x6 + adds x13, x13, x8 + umulh x8, x4, x5 + adcs x14, x14, x8 + umulh x8, x4, x6 + adcs x15, x15, x8 + umulh x8, x4, x7 + adcs x16, x16, x8 + umulh x8, x5, x7 + adcs x17, x17, x8 + adc x19, x19, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + adcs x15, x15, x15 + adcs x16, x16, x16 + adcs x17, x17, x17 + adcs x19, x19, x19 + cset x20, hs + umulh x8, x2, x2 + mul x2, x2, x2 + adds x9, x9, x8 + mul x8, x3, x3 + adcs x10, x10, x8 + umulh x8, x3, x3 + adcs x11, x11, x8 + mul x8, x4, x4 + adcs x12, x12, x8 + umulh x8, x4, x4 + adcs x13, x13, x8 + mul x8, x5, x5 + adcs x14, x14, x8 + umulh x8, x5, x5 + adcs x15, x15, x8 + mul x8, x6, x6 + adcs x16, x16, x8 + umulh x8, x6, x6 + adcs x17, x17, x8 + mul x8, x7, x7 + adcs x19, x19, x8 + umulh x8, x7, x7 + adc x20, x20, x8 + lsl x5, x2, #32 + add x2, x5, x2 + mov x5, #-4294967295 + umulh x5, x5, x2 + mov x4, #4294967295 + mul x3, x4, x2 + umulh x4, x4, x2 + adds x5, x5, x3 + adcs x4, x4, x2 + adc x3, xzr, xzr + subs x9, x9, x5 + sbcs x10, x10, x4 + sbcs x11, x11, x3 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x2, x2, xzr + lsl x5, x9, #32 + add x9, x5, x9 + mov x5, #-4294967295 + umulh x5, x5, x9 + mov x4, #4294967295 + mul x3, x4, x9 + umulh x4, x4, x9 + adds x5, x5, x3 + adcs x4, x4, x9 + adc x3, xzr, xzr + subs x10, x10, x5 + sbcs x11, x11, x4 + sbcs x12, x12, x3 + sbcs x13, x13, xzr + sbcs x2, x2, xzr + sbc x9, x9, xzr + lsl x5, x10, #32 + add x10, x5, x10 + mov x5, #-4294967295 + umulh x5, x5, x10 + mov x4, #4294967295 + mul x3, x4, x10 + umulh x4, x4, x10 + adds x5, x5, x3 + adcs x4, x4, x10 + adc x3, xzr, xzr + subs x11, x11, x5 + sbcs x12, x12, x4 + sbcs x13, x13, x3 + sbcs x2, x2, xzr + sbcs x9, x9, xzr + sbc x10, x10, xzr + lsl x5, x11, #32 + add x11, x5, x11 + mov x5, #-4294967295 + umulh x5, x5, x11 + mov x4, #4294967295 + mul x3, x4, x11 + umulh x4, x4, x11 + adds x5, x5, x3 + adcs x4, x4, x11 + adc x3, xzr, xzr + subs x12, x12, x5 + sbcs x13, x13, x4 + sbcs x2, x2, x3 + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbc x11, x11, xzr + lsl x5, x12, #32 + add x12, x5, x12 + mov x5, #-4294967295 + umulh x5, x5, x12 + mov x4, #4294967295 + mul x3, x4, x12 + umulh x4, x4, x12 + adds x5, x5, x3 + adcs x4, x4, x12 + adc x3, xzr, xzr + subs x13, x13, x5 + sbcs x2, x2, x4 + sbcs x9, x9, x3 + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbc x12, x12, xzr + lsl x5, x13, #32 + add x13, x5, x13 + mov x5, #-4294967295 + umulh x5, x5, x13 + mov x4, #4294967295 + mul x3, x4, x13 + umulh x4, x4, x13 + adds x5, x5, x3 + adcs x4, x4, x13 + adc x3, xzr, xzr + subs x2, x2, x5 + sbcs x9, x9, x4 + sbcs x10, x10, x3 + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + adds x2, x2, x14 + adcs x9, x9, x15 + adcs x10, x10, x16 + adcs x11, x11, x17 + adcs x12, x12, x19 + adcs x13, x13, x20 + adc x6, xzr, xzr + mov x8, #-4294967295 + adds x14, x2, x8 + mov x8, #4294967295 + adcs x15, x9, x8 + mov x8, #1 + adcs x16, x10, x8 + adcs x17, x11, xzr + adcs x19, x12, xzr + adcs x20, x13, xzr + adcs x6, x6, xzr + csel x2, x2, x14, eq + csel x9, x9, x15, eq + csel x10, x10, x16, eq + csel x11, x11, x17, eq + csel x12, x12, x19, eq + csel x13, x13, x20, eq + stp x2, x9, [sp, #192] + stp x10, x11, [sp, #208] + stp x12, x13, [sp, #224] + ldp x0, x1, [sp, #288] + mov x6, #4294967295 + subs x6, x6, x0 + mov x7, #-4294967296 + sbcs x7, x7, x1 + ldp x0, x1, [sp, #304] + mov x8, #-2 + sbcs x8, x8, x0 + mov x13, #-1 + sbcs x9, x13, x1 + ldp x0, x1, [sp, #320] + sbcs x10, x13, x0 + sbc x11, x13, x1 + mov x12, #9 + mul x0, x12, x6 + mul x1, x12, x7 + mul x2, x12, x8 + mul x3, x12, x9 + mul x4, x12, x10 + mul x5, x12, x11 + umulh x6, x12, x6 + umulh x7, x12, x7 + umulh x8, x12, x8 + umulh x9, x12, x9 + umulh x10, x12, x10 + umulh x12, x12, x11 + adds x1, x1, x6 + adcs x2, x2, x7 + adcs x3, x3, x8 + adcs x4, x4, x9 + adcs x5, x5, x10 + mov x6, #1 + adc x6, x12, x6 + ldp x8, x9, [sp, #144] + ldp x10, x11, [sp, #160] + ldp x12, x13, [sp, #176] + mov x14, #12 + mul x15, x14, x8 + umulh x8, x14, x8 + adds x0, x0, x15 + mul x15, x14, x9 + umulh x9, x14, x9 + adcs x1, x1, x15 + mul x15, x14, x10 + umulh x10, x14, x10 + adcs x2, x2, x15 + mul x15, x14, x11 + umulh x11, x14, x11 + adcs x3, x3, x15 + mul x15, x14, x12 + umulh x12, x14, x12 + adcs x4, x4, x15 + mul x15, x14, x13 + umulh x13, x14, x13 + adcs x5, x5, x15 + adc x6, x6, xzr + adds x1, x1, x8 + adcs x2, x2, x9 + adcs x3, x3, x10 + adcs x4, x4, x11 + adcs x5, x5, x12 + adcs x6, x6, x13 + lsl x7, x6, #32 + subs x8, x6, x7 + sbc x7, x7, xzr + adds x0, x0, x8 + adcs x1, x1, x7 + adcs x2, x2, x6 + adcs x3, x3, xzr + adcs x4, x4, xzr + adcs x5, x5, xzr + csetm x6, lo + mov x7, #4294967295 + and x7, x7, x6 + adds x0, x0, x7 + eor x7, x7, x6 + adcs x1, x1, x7 + mov x7, #-2 + and x7, x7, x6 + adcs x2, x2, x7 + adcs x3, x3, x6 + adcs x4, x4, x6 + adc x5, x5, x6 + stp x0, x1, [sp, #288] + stp x2, x3, [sp, #304] + stp x4, x5, [sp, #320] + ldp x5, x6, [sp, #192] + ldp x4, x3, [sp] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #208] + ldp x4, x3, [sp, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [sp, #224] + ldp x4, x3, [sp, #32] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + csetm x3, lo + mov x4, #4294967295 + and x4, x4, x3 + adds x5, x5, x4 + eor x4, x4, x3 + adcs x6, x6, x4 + mov x4, #-2 + and x4, x4, x3 + adcs x7, x7, x4 + adcs x8, x8, x3 + adcs x9, x9, x3 + adc x10, x10, x3 + stp x5, x6, [sp, #240] + stp x7, x8, [sp, #256] + stp x9, x10, [sp, #272] + ldp x2, x3, [sp, #48] + mul x9, x2, x3 + umulh x10, x2, x3 + ldp x4, x5, [sp, #64] + mul x8, x2, x4 + adds x10, x10, x8 + mul x11, x2, x5 + mul x8, x3, x4 + adcs x11, x11, x8 + umulh x12, x2, x5 + mul x8, x3, x5 + adcs x12, x12, x8 + ldp x6, x7, [sp, #80] + mul x13, x2, x7 + mul x8, x3, x6 + adcs x13, x13, x8 + umulh x14, x2, x7 + mul x8, x3, x7 + adcs x14, x14, x8 + mul x15, x5, x6 + adcs x15, x15, xzr + umulh x16, x5, x6 + adc x16, x16, xzr + umulh x8, x2, x4 + adds x11, x11, x8 + umulh x8, x3, x4 + adcs x12, x12, x8 + umulh x8, x3, x5 + adcs x13, x13, x8 + umulh x8, x3, x6 + adcs x14, x14, x8 + umulh x8, x3, x7 + adcs x15, x15, x8 + adc x16, x16, xzr + mul x8, x2, x6 + adds x12, x12, x8 + mul x8, x4, x5 + adcs x13, x13, x8 + mul x8, x4, x6 + adcs x14, x14, x8 + mul x8, x4, x7 + adcs x15, x15, x8 + mul x8, x5, x7 + adcs x16, x16, x8 + mul x17, x6, x7 + adcs x17, x17, xzr + umulh x19, x6, x7 + adc x19, x19, xzr + umulh x8, x2, x6 + adds x13, x13, x8 + umulh x8, x4, x5 + adcs x14, x14, x8 + umulh x8, x4, x6 + adcs x15, x15, x8 + umulh x8, x4, x7 + adcs x16, x16, x8 + umulh x8, x5, x7 + adcs x17, x17, x8 + adc x19, x19, xzr + adds x9, x9, x9 + adcs x10, x10, x10 + adcs x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + adcs x15, x15, x15 + adcs x16, x16, x16 + adcs x17, x17, x17 + adcs x19, x19, x19 + cset x20, hs + umulh x8, x2, x2 + mul x2, x2, x2 + adds x9, x9, x8 + mul x8, x3, x3 + adcs x10, x10, x8 + umulh x8, x3, x3 + adcs x11, x11, x8 + mul x8, x4, x4 + adcs x12, x12, x8 + umulh x8, x4, x4 + adcs x13, x13, x8 + mul x8, x5, x5 + adcs x14, x14, x8 + umulh x8, x5, x5 + adcs x15, x15, x8 + mul x8, x6, x6 + adcs x16, x16, x8 + umulh x8, x6, x6 + adcs x17, x17, x8 + mul x8, x7, x7 + adcs x19, x19, x8 + umulh x8, x7, x7 + adc x20, x20, x8 + lsl x5, x2, #32 + add x2, x5, x2 + mov x5, #-4294967295 + umulh x5, x5, x2 + mov x4, #4294967295 + mul x3, x4, x2 + umulh x4, x4, x2 + adds x5, x5, x3 + adcs x4, x4, x2 + adc x3, xzr, xzr + subs x9, x9, x5 + sbcs x10, x10, x4 + sbcs x11, x11, x3 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x2, x2, xzr + lsl x5, x9, #32 + add x9, x5, x9 + mov x5, #-4294967295 + umulh x5, x5, x9 + mov x4, #4294967295 + mul x3, x4, x9 + umulh x4, x4, x9 + adds x5, x5, x3 + adcs x4, x4, x9 + adc x3, xzr, xzr + subs x10, x10, x5 + sbcs x11, x11, x4 + sbcs x12, x12, x3 + sbcs x13, x13, xzr + sbcs x2, x2, xzr + sbc x9, x9, xzr + lsl x5, x10, #32 + add x10, x5, x10 + mov x5, #-4294967295 + umulh x5, x5, x10 + mov x4, #4294967295 + mul x3, x4, x10 + umulh x4, x4, x10 + adds x5, x5, x3 + adcs x4, x4, x10 + adc x3, xzr, xzr + subs x11, x11, x5 + sbcs x12, x12, x4 + sbcs x13, x13, x3 + sbcs x2, x2, xzr + sbcs x9, x9, xzr + sbc x10, x10, xzr + lsl x5, x11, #32 + add x11, x5, x11 + mov x5, #-4294967295 + umulh x5, x5, x11 + mov x4, #4294967295 + mul x3, x4, x11 + umulh x4, x4, x11 + adds x5, x5, x3 + adcs x4, x4, x11 + adc x3, xzr, xzr + subs x12, x12, x5 + sbcs x13, x13, x4 + sbcs x2, x2, x3 + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbc x11, x11, xzr + lsl x5, x12, #32 + add x12, x5, x12 + mov x5, #-4294967295 + umulh x5, x5, x12 + mov x4, #4294967295 + mul x3, x4, x12 + umulh x4, x4, x12 + adds x5, x5, x3 + adcs x4, x4, x12 + adc x3, xzr, xzr + subs x13, x13, x5 + sbcs x2, x2, x4 + sbcs x9, x9, x3 + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbc x12, x12, xzr + lsl x5, x13, #32 + add x13, x5, x13 + mov x5, #-4294967295 + umulh x5, x5, x13 + mov x4, #4294967295 + mul x3, x4, x13 + umulh x4, x4, x13 + adds x5, x5, x3 + adcs x4, x4, x13 + adc x3, xzr, xzr + subs x2, x2, x5 + sbcs x9, x9, x4 + sbcs x10, x10, x3 + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + adds x2, x2, x14 + adcs x9, x9, x15 + adcs x10, x10, x16 + adcs x11, x11, x17 + adcs x12, x12, x19 + adcs x13, x13, x20 + adc x6, xzr, xzr + mov x8, #-4294967295 + adds x14, x2, x8 + mov x8, #4294967295 + adcs x15, x9, x8 + mov x8, #1 + adcs x16, x10, x8 + adcs x17, x11, xzr + adcs x19, x12, xzr + adcs x20, x13, xzr + adcs x6, x6, xzr + csel x2, x2, x14, eq + csel x9, x9, x15, eq + csel x10, x10, x16, eq + csel x11, x11, x17, eq + csel x12, x12, x19, eq + csel x13, x13, x20, eq + stp x2, x9, [sp, #192] + stp x10, x11, [sp, #208] + stp x12, x13, [sp, #224] + ldp x5, x6, [sp, #240] + ldp x4, x3, [sp, #48] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #256] + ldp x4, x3, [sp, #64] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [sp, #272] + ldp x4, x3, [sp, #80] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + csetm x3, lo + mov x4, #4294967295 + and x4, x4, x3 + adds x5, x5, x4 + eor x4, x4, x3 + adcs x6, x6, x4 + mov x4, #-2 + and x4, x4, x3 + adcs x7, x7, x4 + adcs x8, x8, x3 + adcs x9, x9, x3 + adc x10, x10, x3 + stp x5, x6, [x23, #96] + stp x7, x8, [x23, #112] + stp x9, x10, [x23, #128] + ldp x3, x4, [sp, #288] + ldp x5, x6, [sp, #96] + mul x12, x3, x5 + umulh x13, x3, x5 + mul x11, x3, x6 + umulh x14, x3, x6 + adds x13, x13, x11 + ldp x7, x8, [sp, #112] + mul x11, x3, x7 + umulh x15, x3, x7 + adcs x14, x14, x11 + mul x11, x3, x8 + umulh x16, x3, x8 + adcs x15, x15, x11 + ldp x9, x10, [sp, #128] + mul x11, x3, x9 + umulh x17, x3, x9 + adcs x16, x16, x11 + mul x11, x3, x10 + umulh x19, x3, x10 + adcs x17, x17, x11 + adc x19, x19, xzr + mul x11, x4, x5 + adds x13, x13, x11 + mul x11, x4, x6 + adcs x14, x14, x11 + mul x11, x4, x7 + adcs x15, x15, x11 + mul x11, x4, x8 + adcs x16, x16, x11 + mul x11, x4, x9 + adcs x17, x17, x11 + mul x11, x4, x10 + adcs x19, x19, x11 + cset x20, hs + umulh x11, x4, x5 + adds x14, x14, x11 + umulh x11, x4, x6 + adcs x15, x15, x11 + umulh x11, x4, x7 + adcs x16, x16, x11 + umulh x11, x4, x8 + adcs x17, x17, x11 + umulh x11, x4, x9 + adcs x19, x19, x11 + umulh x11, x4, x10 + adc x20, x20, x11 + ldp x3, x4, [sp, #304] + mul x11, x3, x5 + adds x14, x14, x11 + mul x11, x3, x6 + adcs x15, x15, x11 + mul x11, x3, x7 + adcs x16, x16, x11 + mul x11, x3, x8 + adcs x17, x17, x11 + mul x11, x3, x9 + adcs x19, x19, x11 + mul x11, x3, x10 + adcs x20, x20, x11 + cset x21, hs + umulh x11, x3, x5 + adds x15, x15, x11 + umulh x11, x3, x6 + adcs x16, x16, x11 + umulh x11, x3, x7 + adcs x17, x17, x11 + umulh x11, x3, x8 + adcs x19, x19, x11 + umulh x11, x3, x9 + adcs x20, x20, x11 + umulh x11, x3, x10 + adc x21, x21, x11 + mul x11, x4, x5 + adds x15, x15, x11 + mul x11, x4, x6 + adcs x16, x16, x11 + mul x11, x4, x7 + adcs x17, x17, x11 + mul x11, x4, x8 + adcs x19, x19, x11 + mul x11, x4, x9 + adcs x20, x20, x11 + mul x11, x4, x10 + adcs x21, x21, x11 + cset x22, hs + umulh x11, x4, x5 + adds x16, x16, x11 + umulh x11, x4, x6 + adcs x17, x17, x11 + umulh x11, x4, x7 + adcs x19, x19, x11 + umulh x11, x4, x8 + adcs x20, x20, x11 + umulh x11, x4, x9 + adcs x21, x21, x11 + umulh x11, x4, x10 + adc x22, x22, x11 + ldp x3, x4, [sp, #320] + mul x11, x3, x5 + adds x16, x16, x11 + mul x11, x3, x6 + adcs x17, x17, x11 + mul x11, x3, x7 + adcs x19, x19, x11 + mul x11, x3, x8 + adcs x20, x20, x11 + mul x11, x3, x9 + adcs x21, x21, x11 + mul x11, x3, x10 + adcs x22, x22, x11 + cset x2, hs + umulh x11, x3, x5 + adds x17, x17, x11 + umulh x11, x3, x6 + adcs x19, x19, x11 + umulh x11, x3, x7 + adcs x20, x20, x11 + umulh x11, x3, x8 + adcs x21, x21, x11 + umulh x11, x3, x9 + adcs x22, x22, x11 + umulh x11, x3, x10 + adc x2, x2, x11 + mul x11, x4, x5 + adds x17, x17, x11 + mul x11, x4, x6 + adcs x19, x19, x11 + mul x11, x4, x7 + adcs x20, x20, x11 + mul x11, x4, x8 + adcs x21, x21, x11 + mul x11, x4, x9 + adcs x22, x22, x11 + mul x11, x4, x10 + adcs x2, x2, x11 + cset x1, hs + umulh x11, x4, x5 + adds x19, x19, x11 + umulh x11, x4, x6 + adcs x20, x20, x11 + umulh x11, x4, x7 + adcs x21, x21, x11 + umulh x11, x4, x8 + adcs x22, x22, x11 + umulh x11, x4, x9 + adcs x2, x2, x11 + umulh x11, x4, x10 + adc x1, x1, x11 + lsl x7, x12, #32 + add x12, x7, x12 + mov x7, #-4294967295 + umulh x7, x7, x12 + mov x6, #4294967295 + mul x5, x6, x12 + umulh x6, x6, x12 + adds x7, x7, x5 + adcs x6, x6, x12 + adc x5, xzr, xzr + subs x13, x13, x7 + sbcs x14, x14, x6 + sbcs x15, x15, x5 + sbcs x16, x16, xzr + sbcs x17, x17, xzr + sbc x12, x12, xzr + lsl x7, x13, #32 + add x13, x7, x13 + mov x7, #-4294967295 + umulh x7, x7, x13 + mov x6, #4294967295 + mul x5, x6, x13 + umulh x6, x6, x13 + adds x7, x7, x5 + adcs x6, x6, x13 + adc x5, xzr, xzr + subs x14, x14, x7 + sbcs x15, x15, x6 + sbcs x16, x16, x5 + sbcs x17, x17, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + lsl x7, x14, #32 + add x14, x7, x14 + mov x7, #-4294967295 + umulh x7, x7, x14 + mov x6, #4294967295 + mul x5, x6, x14 + umulh x6, x6, x14 + adds x7, x7, x5 + adcs x6, x6, x14 + adc x5, xzr, xzr + subs x15, x15, x7 + sbcs x16, x16, x6 + sbcs x17, x17, x5 + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x14, x14, xzr + lsl x7, x15, #32 + add x15, x7, x15 + mov x7, #-4294967295 + umulh x7, x7, x15 + mov x6, #4294967295 + mul x5, x6, x15 + umulh x6, x6, x15 + adds x7, x7, x5 + adcs x6, x6, x15 + adc x5, xzr, xzr + subs x16, x16, x7 + sbcs x17, x17, x6 + sbcs x12, x12, x5 + sbcs x13, x13, xzr + sbcs x14, x14, xzr + sbc x15, x15, xzr + lsl x7, x16, #32 + add x16, x7, x16 + mov x7, #-4294967295 + umulh x7, x7, x16 + mov x6, #4294967295 + mul x5, x6, x16 + umulh x6, x6, x16 + adds x7, x7, x5 + adcs x6, x6, x16 + adc x5, xzr, xzr + subs x17, x17, x7 + sbcs x12, x12, x6 + sbcs x13, x13, x5 + sbcs x14, x14, xzr + sbcs x15, x15, xzr + sbc x16, x16, xzr + lsl x7, x17, #32 + add x17, x7, x17 + mov x7, #-4294967295 + umulh x7, x7, x17 + mov x6, #4294967295 + mul x5, x6, x17 + umulh x6, x6, x17 + adds x7, x7, x5 + adcs x6, x6, x17 + adc x5, xzr, xzr + subs x12, x12, x7 + sbcs x13, x13, x6 + sbcs x14, x14, x5 + sbcs x15, x15, xzr + sbcs x16, x16, xzr + sbc x17, x17, xzr + adds x12, x12, x19 + adcs x13, x13, x20 + adcs x14, x14, x21 + adcs x15, x15, x22 + adcs x16, x16, x2 + adcs x17, x17, x1 + adc x10, xzr, xzr + mov x11, #-4294967295 + adds x19, x12, x11 + mov x11, #4294967295 + adcs x20, x13, x11 + mov x11, #1 + adcs x21, x14, x11 + adcs x22, x15, xzr + adcs x2, x16, xzr + adcs x1, x17, xzr + adcs x10, x10, xzr + csel x12, x12, x19, eq + csel x13, x13, x20, eq + csel x14, x14, x21, eq + csel x15, x15, x22, eq + csel x16, x16, x2, eq + csel x17, x17, x1, eq + stp x12, x13, [sp, #240] + stp x14, x15, [sp, #256] + stp x16, x17, [sp, #272] + ldp x1, x2, [sp, #144] + ldp x3, x4, [sp, #160] + ldp x5, x6, [sp, #176] + lsl x0, x1, #2 + ldp x7, x8, [sp, #288] + subs x0, x0, x7 + extr x1, x2, x1, #62 + sbcs x1, x1, x8 + ldp x7, x8, [sp, #304] + extr x2, x3, x2, #62 + sbcs x2, x2, x7 + extr x3, x4, x3, #62 + sbcs x3, x3, x8 + extr x4, x5, x4, #62 + ldp x7, x8, [sp, #320] + sbcs x4, x4, x7 + extr x5, x6, x5, #62 + sbcs x5, x5, x8 + lsr x6, x6, #62 + adc x6, x6, xzr + lsl x7, x6, #32 + subs x8, x6, x7 + sbc x7, x7, xzr + adds x0, x0, x8 + adcs x1, x1, x7 + adcs x2, x2, x6 + adcs x3, x3, xzr + adcs x4, x4, xzr + adcs x5, x5, xzr + csetm x8, lo + mov x9, #4294967295 + and x9, x9, x8 + adds x0, x0, x9 + eor x9, x9, x8 + adcs x1, x1, x9 + mov x9, #-2 + and x9, x9, x8 + adcs x2, x2, x9 + adcs x3, x3, x8 + adcs x4, x4, x8 + adc x5, x5, x8 + stp x0, x1, [x23] + stp x2, x3, [x23, #16] + stp x4, x5, [x23, #32] + ldp x0, x1, [sp, #192] + mov x6, #4294967295 + subs x6, x6, x0 + mov x7, #-4294967296 + sbcs x7, x7, x1 + ldp x0, x1, [sp, #208] + mov x8, #-2 + sbcs x8, x8, x0 + mov x13, #-1 + sbcs x9, x13, x1 + ldp x0, x1, [sp, #224] + sbcs x10, x13, x0 + sbc x11, x13, x1 + lsl x0, x6, #3 + extr x1, x7, x6, #61 + extr x2, x8, x7, #61 + extr x3, x9, x8, #61 + extr x4, x10, x9, #61 + extr x5, x11, x10, #61 + lsr x6, x11, #61 + add x6, x6, #1 + ldp x8, x9, [sp, #240] + ldp x10, x11, [sp, #256] + ldp x12, x13, [sp, #272] + mov x14, #3 + mul x15, x14, x8 + umulh x8, x14, x8 + adds x0, x0, x15 + mul x15, x14, x9 + umulh x9, x14, x9 + adcs x1, x1, x15 + mul x15, x14, x10 + umulh x10, x14, x10 + adcs x2, x2, x15 + mul x15, x14, x11 + umulh x11, x14, x11 + adcs x3, x3, x15 + mul x15, x14, x12 + umulh x12, x14, x12 + adcs x4, x4, x15 + mul x15, x14, x13 + umulh x13, x14, x13 + adcs x5, x5, x15 + adc x6, x6, xzr + adds x1, x1, x8 + adcs x2, x2, x9 + adcs x3, x3, x10 + adcs x4, x4, x11 + adcs x5, x5, x12 + adcs x6, x6, x13 + lsl x7, x6, #32 + subs x8, x6, x7 + sbc x7, x7, xzr + adds x0, x0, x8 + adcs x1, x1, x7 + adcs x2, x2, x6 + adcs x3, x3, xzr + adcs x4, x4, xzr + adcs x5, x5, xzr + csetm x6, lo + mov x7, #4294967295 + and x7, x7, x6 + adds x0, x0, x7 + eor x7, x7, x6 + adcs x1, x1, x7 + mov x7, #-2 + and x7, x7, x6 + adcs x2, x2, x7 + adcs x3, x3, x6 + adcs x4, x4, x6 + adc x5, x5, x6 + stp x0, x1, [x23, #48] + stp x2, x3, [x23, #64] + stp x4, x5, [x23, #80] + CFI_INC_SP(336) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp384_montjscalarmul_alt_p384_montjdouble) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/arm/p521_jscalarmul.S b/cbits/s2n/arm/p521_jscalarmul.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/p521_jscalarmul.S @@ -0,0 +1,2747 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Jacobian form scalar multiplication for P-521 +// Input scalar[9], point[27]; output res[27] +// +// extern void p521_jscalarmul +// (uint64_t res[static 27], +// const uint64_t scalar[static 9], +// const uint64_t point[static 27]); +// +// This function is a variant of its affine point version p521_scalarmul. +// Here, input and output points are assumed to be in Jacobian form with +// a triple (x,y,z) representing the affine point (x/z^2,y/z^3) when +// z is nonzero or the point at infinity (group identity) if z = 0. +// +// Given scalar = n and point = P, assumed to be on the NIST elliptic +// curve P-521, returns a representation of n * P. If the result is the +// point at infinity (either because the input point was or because the +// scalar was a multiple of p_521) then the output is guaranteed to +// represent the point at infinity, i.e. to have its z coordinate zero. +// +// Standard ARM ABI: X0 = res, X1 = scalar, X2 = point +// ---------------------------------------------------------------------------- + + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p521_jscalarmul) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p521_jscalarmul) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p521_jscalarmul) + + + .text + .balign 4 + +// Size of individual field elements + +#define NUMSIZE 72 +#define JACSIZE (3*NUMSIZE) + +// Safe copies of input res and additional values in variables. + +#define tabup x15 +#define bf x16 +#define sgn x17 +#define j x19 +#define res x20 + +// Intermediate variables on the stack. +// The table is 16 entries, each of size JACSIZE = 3 * NUMSIZE + +#define scalarb sp, #(0*NUMSIZE) +#define acc sp, #(1*NUMSIZE) +#define tabent sp, #(4*NUMSIZE) + +#define tab sp, #(7*NUMSIZE) + +// Round up to maintain stack alignment + +#define NSPACE 3968 + +#define selectblock(I) \ + cmp bf, #(1*I) __LF \ + ldp x10, x11, [tabup] __LF \ + csel x0, x10, x0, eq __LF \ + csel x1, x11, x1, eq __LF \ + ldp x10, x11, [tabup, #16] __LF \ + csel x2, x10, x2, eq __LF \ + csel x3, x11, x3, eq __LF \ + ldp x10, x11, [tabup, #32] __LF \ + csel x4, x10, x4, eq __LF \ + csel x5, x11, x5, eq __LF \ + ldp x10, x11, [tabup, #48] __LF \ + csel x6, x10, x6, eq __LF \ + csel x7, x11, x7, eq __LF \ + ldr x10, [tabup, #64] __LF \ + csel x8, x10, x8, eq __LF \ + add tabup, tabup, #JACSIZE + +// Loading large constants + +#define movbig(nn,n3,n2,n1,n0) \ + movz nn, n0 __LF \ + movk nn, n1, lsl #16 __LF \ + movk nn, n2, lsl #32 __LF \ + movk nn, n3, lsl #48 + +S2N_BN_SYMBOL(p521_jscalarmul): + CFI_START + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x30) + CFI_DEC_SP(NSPACE) + +// Preserve the "res" input argument; others get processed early. + + mov res, x0 + +// Reduce the input scalar mod n_521 and store it to "scalarb". + + mov x19, x2 + add x0, scalarb + CFI_BL(Lp521_jscalarmul_bignum_mod_n521_9) + mov x2, x19 + +// Set the tab[0] table entry to the input point = 1 * P, but also +// reduce all coordinates modulo p. In principle we assume reduction +// as a precondition, but this reduces the scope for surprise, e.g. +// making sure that any input with z = 0 is treated as zero, even +// if the other coordinates are not in fact reduced. + + add x0, tab + mov x1, x19 + CFI_BL(Lp521_jscalarmul_bignum_mod_p521_9) + + add x0, tab+NUMSIZE + add x1, x19, #NUMSIZE + CFI_BL(Lp521_jscalarmul_bignum_mod_p521_9) + + add x0, tab+2*NUMSIZE + add x1, x19, #(2*NUMSIZE) + CFI_BL(Lp521_jscalarmul_bignum_mod_p521_9) + +// If bit 520 of the scalar is set, then negate the scalar mod n_521, +// i.e. do scalar |-> n_521 - scalar, and also the point to compensate +// by negating its y coordinate. This further step is not needed by +// the indexing scheme (the top window is only a couple of bits either +// way), but is convenient to exclude a problem with the specific value +// scalar = n_521 - 18, where the last Jacobian addition is of the form +// (n_521 - 9) * P + -(9 * P) and hence is a degenerate doubling case. + + ldp x0, x1, [scalarb] + movbig(x10, #0xbb6f, #0xb71e, #0x9138, #0x6409) + subs x10, x10, x0 + movbig(x11, #0x3bb5, #0xc9b8, #0x899c, #0x47ae) + sbcs x11, x11, x1 + ldp x2, x3, [scalarb+16] + movbig(x12, #0x7fcc, #0x0148, #0xf709, #0xa5d0) + sbcs x12, x12, x2 + movbig(x13, #0x5186, #0x8783, #0xbf2f, #0x966b) + sbcs x13, x13, x3 + ldp x4, x5, [scalarb+32] + mov x14, 0xfffffffffffffffa + sbcs x14, x14, x4 + mov x15, 0xffffffffffffffff + sbcs x15, x15, x5 + ldp x6, x7, [scalarb+48] + mov x16, 0xffffffffffffffff + sbcs x16, x16, x6 + mov x17, 0xffffffffffffffff + sbcs x17, x17, x7 + ldr x8, [scalarb+64] + mov x19, 0x00000000000001ff + sbc x19, x19, x8 + tst x8, 0x100 + csetm x9, ne + csel x0, x10, x0, ne + csel x1, x11, x1, ne + csel x2, x12, x2, ne + csel x3, x13, x3, ne + csel x4, x14, x4, ne + csel x5, x15, x5, ne + csel x6, x16, x6, ne + csel x7, x17, x7, ne + csel x8, x19, x8, ne + stp x0, x1, [scalarb] + stp x2, x3, [scalarb+16] + stp x4, x5, [scalarb+32] + stp x6, x7, [scalarb+48] + str x8, [scalarb+64] + + add tabup, tab + ldp x0, x1, [tabup, #NUMSIZE] + ldp x2, x3, [tabup, #NUMSIZE+16] + ldp x4, x5, [tabup, #NUMSIZE+32] + ldp x6, x7, [tabup, #NUMSIZE+48] + ldr x8, [tabup, #NUMSIZE+64] + orr x10, x0, x1 + orr x11, x2, x3 + orr x12, x4, x5 + orr x13, x6, x7 + orr x10, x10, x11 + orr x12, x12, x13 + orr x12, x12, x8 + orr x10, x10, x12 + cmp x10, xzr + csel x9, x9, xzr, ne + eor x0, x0, x9 + eor x1, x1, x9 + eor x2, x2, x9 + eor x3, x3, x9 + eor x4, x4, x9 + eor x5, x5, x9 + eor x6, x6, x9 + eor x7, x7, x9 + and x9, x9, #0x1FF + eor x8, x8, x9 + stp x0, x1, [tabup, #NUMSIZE] + stp x2, x3, [tabup, #NUMSIZE+16] + stp x4, x5, [tabup, #NUMSIZE+32] + stp x6, x7, [tabup, #NUMSIZE+48] + str x8, [tabup, #NUMSIZE+64] + +// Compute and record tab[1] = 2 * p, ..., tab[15] = 16 * P + + add x0, tab+JACSIZE*1 + add x1, tab + CFI_BL(Lp521_jscalarmul_jdouble) + + add x0, tab+JACSIZE*2 + add x1, tab+JACSIZE*1 + add x2, tab + CFI_BL(Lp521_jscalarmul_jadd) + + add x0, tab+JACSIZE*3 + add x1, tab+JACSIZE*1 + CFI_BL(Lp521_jscalarmul_jdouble) + + add x0, tab+JACSIZE*4 + add x1, tab+JACSIZE*3 + add x2, tab + CFI_BL(Lp521_jscalarmul_jadd) + + add x0, tab+JACSIZE*5 + add x1, tab+JACSIZE*2 + CFI_BL(Lp521_jscalarmul_jdouble) + + add x0, tab+JACSIZE*6 + add x1, tab+JACSIZE*5 + add x2, tab + CFI_BL(Lp521_jscalarmul_jadd) + + add x0, tab+JACSIZE*7 + add x1, tab+JACSIZE*3 + CFI_BL(Lp521_jscalarmul_jdouble) + + add x0, tab+JACSIZE*8 + add x1, tab+JACSIZE*7 + add x2, tab + CFI_BL(Lp521_jscalarmul_jadd) + + add x0, tab+JACSIZE*9 + add x1, tab+JACSIZE*4 + CFI_BL(Lp521_jscalarmul_jdouble) + + add x0, tab+JACSIZE*10 + add x1, tab+JACSIZE*9 + add x2, tab + CFI_BL(Lp521_jscalarmul_jadd) + + add x0, tab+JACSIZE*11 + add x1, tab+JACSIZE*5 + CFI_BL(Lp521_jscalarmul_jdouble) + + add x0, tab+JACSIZE*12 + add x1, tab+JACSIZE*11 + add x2, tab + CFI_BL(Lp521_jscalarmul_jadd) + + add x0, tab+JACSIZE*13 + add x1, tab+JACSIZE*6 + CFI_BL(Lp521_jscalarmul_jdouble) + + add x0, tab+JACSIZE*14 + add x1, tab+JACSIZE*13 + add x2, tab + CFI_BL(Lp521_jscalarmul_jadd) + + add x0, tab+JACSIZE*15 + add x1, tab+JACSIZE*7 + CFI_BL(Lp521_jscalarmul_jdouble) + +// Add the recoding constant sum_i(16 * 32^i) to the scalar to allow signed +// digits. The digits of the constant, in lowest-to-highest order, are as +// follows; they are generated dynamically since none is a simple ARM load. +// +// 0x0842108421084210 +// 0x1084210842108421 +// 0x2108421084210842 +// 0x4210842108421084 +// 0x8421084210842108 +// 0x0842108421084210 +// 0x1084210842108421 +// 0x2108421084210842 +// 0x0000000000000084 + + ldp x0, x1, [scalarb] + ldp x2, x3, [scalarb+16] + ldp x4, x5, [scalarb+32] + ldp x6, x7, [scalarb+48] + ldr x8, [scalarb+64] + + movbig(x10, #0x1084, #0x2108, #0x4210, #0x8421) + adds x0, x0, x10, lsr #1 + adcs x1, x1, x10 + lsl x10, x10, #1 + adcs x2, x2, x10 + lsl x10, x10, #1 + adcs x3, x3, x10 + lsl x10, x10, #1 + adcs x4, x4, x10 + lsr x11, x10, #4 + adcs x5, x5, x11 + lsr x10, x10, #3 + adcs x6, x6, x10 + lsl x10, x10, #1 + adcs x7, x7, x10 + lsl x10, x10, #1 + and x10, x10, #0xFF + adc x8, x8, x10 + +// Because of the initial reduction the top bitfield (>= bits 520) is <= 1, +// i.e. just a single bit. Record that in "bf", then shift the whole +// scalar left 56 bits to align the top of the next bitfield with the MSB +// (bits 571..575). + + lsr bf, x8, #8 + extr x8, x8, x7, #8 + extr x7, x7, x6, #8 + extr x6, x6, x5, #8 + extr x5, x5, x4, #8 + extr x4, x4, x3, #8 + extr x3, x3, x2, #8 + extr x2, x2, x1, #8 + extr x1, x1, x0, #8 + lsl x0, x0, #56 + stp x0, x1, [scalarb] + stp x2, x3, [scalarb+16] + stp x4, x5, [scalarb+32] + stp x6, x7, [scalarb+48] + str x8, [scalarb+64] + +// According to the top bit, initialize the accumulator to P or 0. This top +// digit, uniquely, is not recoded so there is no sign adjustment to make. +// We only really need to adjust the z coordinate to zero, but do all three. + + add tabup, tab + cmp bf, xzr + + ldp x0, x1, [tabup] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc] + ldp x0, x1, [tabup, #16] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+16] + ldp x0, x1, [tabup, #32] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+32] + ldp x0, x1, [tabup, #48] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+48] + ldp x0, x1, [tabup, #64] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+64] + ldp x0, x1, [tabup, #80] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+80] + ldp x0, x1, [tabup, #96] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+96] + ldp x0, x1, [tabup, #112] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+112] + ldp x0, x1, [tabup, #128] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+128] + ldp x0, x1, [tabup, #144] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+144] + ldp x0, x1, [tabup, #160] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+160] + ldp x0, x1, [tabup, #176] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+176] + ldp x0, x1, [tabup, #192] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+192] + ldr x0, [tabup, #208] + csel x0, x0, xzr, ne + str x0, [acc+208] + +// Main loop over size-5 bitfields: double 5 times then add signed digit +// At each stage we shift the scalar left by 5 bits so we can simply pick +// the top 5 bits as the bitfield, saving some fiddle over indexing. + + mov j, #520 + +Lp521_jscalarmul_mainloop: + sub j, j, #5 + + add x0, acc + add x1, acc + CFI_BL(Lp521_jscalarmul_jdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp521_jscalarmul_jdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp521_jscalarmul_jdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp521_jscalarmul_jdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp521_jscalarmul_jdouble) + +// Choose the bitfield and adjust it to sign and magnitude + + ldp x0, x1, [scalarb] + ldp x2, x3, [scalarb+16] + ldp x4, x5, [scalarb+32] + ldp x6, x7, [scalarb+48] + ldr x8, [scalarb+64] + lsr bf, x8, #59 + extr x8, x8, x7, #59 + extr x7, x7, x6, #59 + extr x6, x6, x5, #59 + extr x5, x5, x4, #59 + extr x4, x4, x3, #59 + extr x3, x3, x2, #59 + extr x2, x2, x1, #59 + extr x1, x1, x0, #59 + lsl x0, x0, #5 + stp x0, x1, [scalarb] + stp x2, x3, [scalarb+16] + stp x4, x5, [scalarb+32] + stp x6, x7, [scalarb+48] + str x8, [scalarb+64] + + subs bf, bf, #16 + csetm sgn, lo // sgn = sign of digit (1 = negative) + cneg bf, bf, lo // bf = absolute value of digit + +// Conditionally select the table entry tab[i-1] = i * P in constant time + + mov x0, xzr + mov x1, xzr + mov x2, xzr + mov x3, xzr + mov x4, xzr + mov x5, xzr + mov x6, xzr + mov x7, xzr + mov x8, xzr + add tabup, tab + selectblock(1) + selectblock(2) + selectblock(3) + selectblock(4) + selectblock(5) + selectblock(6) + selectblock(7) + selectblock(8) + selectblock(9) + selectblock(10) + selectblock(11) + selectblock(12) + selectblock(13) + selectblock(14) + selectblock(15) + selectblock(16) + stp x0, x1, [tabent] + stp x2, x3, [tabent+16] + stp x4, x5, [tabent+32] + stp x6, x7, [tabent+48] + str x8, [tabent+64] + + mov x0, xzr + mov x1, xzr + mov x2, xzr + mov x3, xzr + mov x4, xzr + mov x5, xzr + mov x6, xzr + mov x7, xzr + mov x8, xzr + add tabup, tab+2*NUMSIZE + selectblock(1) + selectblock(2) + selectblock(3) + selectblock(4) + selectblock(5) + selectblock(6) + selectblock(7) + selectblock(8) + selectblock(9) + selectblock(10) + selectblock(11) + selectblock(12) + selectblock(13) + selectblock(14) + selectblock(15) + selectblock(16) + stp x0, x1, [tabent+2*NUMSIZE] + stp x2, x3, [tabent+2*NUMSIZE+16] + stp x4, x5, [tabent+2*NUMSIZE+32] + stp x6, x7, [tabent+2*NUMSIZE+48] + str x8, [tabent+2*NUMSIZE+64] + + mov x0, xzr + mov x1, xzr + mov x2, xzr + mov x3, xzr + mov x4, xzr + mov x5, xzr + mov x6, xzr + mov x7, xzr + mov x8, xzr + add tabup, tab+NUMSIZE + selectblock(1) + selectblock(2) + selectblock(3) + selectblock(4) + selectblock(5) + selectblock(6) + selectblock(7) + selectblock(8) + selectblock(9) + selectblock(10) + selectblock(11) + selectblock(12) + selectblock(13) + selectblock(14) + selectblock(15) + selectblock(16) + +// Store it to "tabent" with the y coordinate optionally negated. +// This is done carefully to give coordinates < p_521 even in +// the degenerate case y = 0 (when z = 0 for points on the curve). + + orr x10, x0, x1 + orr x11, x2, x3 + orr x12, x4, x5 + orr x13, x6, x7 + orr x10, x10, x11 + orr x12, x12, x13 + orr x12, x12, x8 + orr x10, x10, x12 + cmp x10, xzr + csel sgn, sgn, xzr, ne + + eor x0, x0, sgn + eor x1, x1, sgn + eor x2, x2, sgn + eor x3, x3, sgn + eor x4, x4, sgn + eor x5, x5, sgn + eor x6, x6, sgn + eor x7, x7, sgn + and sgn, sgn, #0x1FF + eor x8, x8, sgn + + stp x0, x1, [tabent+NUMSIZE] + stp x2, x3, [tabent+NUMSIZE+16] + stp x4, x5, [tabent+NUMSIZE+32] + stp x6, x7, [tabent+NUMSIZE+48] + str x8, [tabent+NUMSIZE+64] + +// Add to the accumulator + + add x0, acc + add x1, acc + add x2, tabent + CFI_BL(Lp521_jscalarmul_jadd) + + cbnz j, Lp521_jscalarmul_mainloop + +// That's the end of the main loop, and we just need to copy the +// result in "acc" to the output. + + ldp x0, x1, [acc] + stp x0, x1, [res] + ldp x0, x1, [acc+16] + stp x0, x1, [res, #16] + ldp x0, x1, [acc+32] + stp x0, x1, [res, #32] + ldp x0, x1, [acc+48] + stp x0, x1, [res, #48] + ldp x0, x1, [acc+64] + stp x0, x1, [res, #64] + ldp x0, x1, [acc+80] + stp x0, x1, [res, #80] + ldp x0, x1, [acc+96] + stp x0, x1, [res, #96] + ldp x0, x1, [acc+112] + stp x0, x1, [res, #112] + ldp x0, x1, [acc+128] + stp x0, x1, [res, #128] + ldp x0, x1, [acc+144] + stp x0, x1, [res, #144] + ldp x0, x1, [acc+160] + stp x0, x1, [res, #160] + ldp x0, x1, [acc+176] + stp x0, x1, [res, #176] + ldp x0, x1, [acc+192] + stp x0, x1, [res, #192] + ldr x0, [acc+208] + str x0, [res, #208] + +// Restore stack and registers and return + + CFI_INC_SP(NSPACE) + CFI_POP2(x21,x30) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p521_jscalarmul) + +// Local copies of subroutines, complete clones at the moment except +// that we share multiplication and squaring between the point operations. + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_bignum_mod_p521_9) + +Lp521_jscalarmul_bignum_mod_p521_9: + CFI_START + ldr x12, [x1, #64] + lsr x2, x12, #9 + cmp xzr, xzr + ldp x4, x5, [x1] + adcs xzr, x4, x2 + adcs xzr, x5, xzr + ldp x6, x7, [x1, #16] + and x3, x6, x7 + adcs xzr, x3, xzr + ldp x8, x9, [x1, #32] + and x3, x8, x9 + adcs xzr, x3, xzr + ldp x10, x11, [x1, #48] + and x3, x10, x11 + adcs xzr, x3, xzr + orr x3, x12, #0xfffffffffffffe00 + adcs x3, x3, xzr + adcs x4, x4, x2 + adcs x5, x5, xzr + adcs x6, x6, xzr + adcs x7, x7, xzr + adcs x8, x8, xzr + adcs x9, x9, xzr + adcs x10, x10, xzr + adcs x11, x11, xzr + adc x12, x12, xzr + and x12, x12, #0x1ff + stp x4, x5, [x0] + stp x6, x7, [x0, #16] + stp x8, x9, [x0, #32] + stp x10, x11, [x0, #48] + str x12, [x0, #64] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_bignum_mod_p521_9) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_bignum_mod_n521_9) + +Lp521_jscalarmul_bignum_mod_n521_9: + CFI_START + ldr x14, [x1, #64] + lsr x15, x14, #9 + add x15, x15, #1 + mov x2, #39927 + movk x2, #28359, lsl #16 + movk x2, #18657, lsl #32 + movk x2, #17552, lsl #48 + mul x6, x2, x15 + mov x3, #47185 + movk x3, #30307, lsl #16 + movk x3, #13895, lsl #32 + movk x3, #50250, lsl #48 + mul x7, x3, x15 + mov x4, #23087 + movk x4, #2294, lsl #16 + movk x4, #65207, lsl #32 + movk x4, #32819, lsl #48 + mul x8, x4, x15 + mov x5, #27028 + movk x5, #16592, lsl #16 + movk x5, #30844, lsl #32 + movk x5, #44665, lsl #48 + mul x9, x5, x15 + lsl x10, x15, #2 + add x10, x10, x15 + umulh x13, x2, x15 + adds x7, x7, x13 + umulh x13, x3, x15 + adcs x8, x8, x13 + umulh x13, x4, x15 + adcs x9, x9, x13 + umulh x13, x5, x15 + adc x10, x10, x13 + ldp x12, x13, [x1] + adds x6, x6, x12 + adcs x7, x7, x13 + ldp x12, x13, [x1, #16] + adcs x8, x8, x12 + adcs x9, x9, x13 + ldp x13, x11, [x1, #32] + adcs x10, x10, x13 + adcs x11, x11, xzr + ldp x12, x13, [x1, #48] + adcs x12, x12, xzr + adcs x13, x13, xzr + orr x14, x14, #0xfffffffffffffe00 + adcs x14, x14, xzr + csetm x15, lo + and x2, x2, x15 + subs x6, x6, x2 + and x3, x3, x15 + sbcs x7, x7, x3 + and x4, x4, x15 + sbcs x8, x8, x4 + and x5, x5, x15 + sbcs x9, x9, x5 + mov x2, #5 + and x2, x2, x15 + sbcs x10, x10, x2 + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x14, x14, xzr + and x14, x14, #0x1ff + stp x6, x7, [x0] + stp x8, x9, [x0, #16] + stp x10, x11, [x0, #32] + stp x12, x13, [x0, #48] + str x14, [x0, #64] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_bignum_mod_n521_9) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_jadd) + +Lp521_jscalarmul_jadd: + CFI_START + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_PUSH2(x25,x26) + CFI_PUSH2(x27,x28) + CFI_PUSH2(x29,x30) + CFI_DEC_SP(576) + mov x26, x0 + mov x27, x1 + mov x28, x2 + mov x0, sp + add x1, x27, #0x90 + CFI_BL(Lp521_jscalarmul_sqr_p521) + add x0, sp, #0x168 + add x1, x28, #0x90 + CFI_BL(Lp521_jscalarmul_sqr_p521) + add x0, sp, #0x1f8 + add x1, x28, #0x90 + add x2, x27, #0x48 + CFI_BL(Lp521_jscalarmul_mul_p521) + add x0, sp, #0x48 + add x1, x27, #0x90 + add x2, x28, #0x48 + CFI_BL(Lp521_jscalarmul_mul_p521) + add x0, sp, #0x90 + mov x1, sp + add x2, x28, #0x0 + CFI_BL(Lp521_jscalarmul_mul_p521) + add x0, sp, #0x120 + add x1, sp, #0x168 + add x2, x27, #0x0 + CFI_BL(Lp521_jscalarmul_mul_p521) + add x0, sp, #0x48 + mov x1, sp + add x2, sp, #0x48 + CFI_BL(Lp521_jscalarmul_mul_p521) + add x0, sp, #0x1f8 + add x1, sp, #0x168 + add x2, sp, #0x1f8 + CFI_BL(Lp521_jscalarmul_mul_p521) + add x0, sp, #0x168 + add x1, sp, #0x90 + add x2, sp, #0x120 + CFI_BL(Lp521_jscalarmul_sub_p521) + add x0, sp, #0x48 + add x1, sp, #0x48 + add x2, sp, #0x1f8 + CFI_BL(Lp521_jscalarmul_sub_p521) + add x0, sp, #0xd8 + add x1, sp, #0x168 + CFI_BL(Lp521_jscalarmul_sqr_p521) + mov x0, sp + add x1, sp, #0x48 + CFI_BL(Lp521_jscalarmul_sqr_p521) + add x0, sp, #0x120 + add x1, sp, #0xd8 + add x2, sp, #0x120 + CFI_BL(Lp521_jscalarmul_mul_p521) + add x0, sp, #0x90 + add x1, sp, #0xd8 + add x2, sp, #0x90 + CFI_BL(Lp521_jscalarmul_mul_p521) + mov x0, sp + mov x1, sp + add x2, sp, #0x120 + CFI_BL(Lp521_jscalarmul_sub_p521) + add x0, sp, #0xd8 + add x1, sp, #0x90 + add x2, sp, #0x120 + CFI_BL(Lp521_jscalarmul_sub_p521) + add x0, sp, #0x168 + add x1, sp, #0x168 + add x2, x27, #0x90 + CFI_BL(Lp521_jscalarmul_mul_p521) + mov x0, sp + mov x1, sp + add x2, sp, #0x90 + CFI_BL(Lp521_jscalarmul_sub_p521) + add x0, sp, #0x120 + add x1, sp, #0x120 + mov x2, sp + CFI_BL(Lp521_jscalarmul_sub_p521) + add x0, sp, #0xd8 + add x1, sp, #0xd8 + add x2, sp, #0x1f8 + CFI_BL(Lp521_jscalarmul_mul_p521) + add x0, sp, #0x168 + add x1, sp, #0x168 + add x2, x28, #0x90 + CFI_BL(Lp521_jscalarmul_mul_p521) + add x0, sp, #0x120 + add x1, sp, #0x48 + add x2, sp, #0x120 + CFI_BL(Lp521_jscalarmul_mul_p521) + add x0, sp, #0x120 + add x1, sp, #0x120 + add x2, sp, #0xd8 + CFI_BL(Lp521_jscalarmul_sub_p521) + ldp x0, x1, [x27, #144] + ldp x2, x3, [x27, #160] + ldp x4, x5, [x27, #176] + ldp x6, x7, [x27, #192] + ldr x8, [x27, #208] + orr x20, x0, x1 + orr x21, x2, x3 + orr x22, x4, x5 + orr x23, x6, x7 + orr x20, x20, x21 + orr x22, x22, x23 + orr x20, x20, x8 + orr x20, x20, x22 + cmp x20, xzr + cset x20, ne + ldp x10, x11, [x28, #144] + ldp x12, x13, [x28, #160] + ldp x14, x15, [x28, #176] + ldp x16, x17, [x28, #192] + ldr x19, [x28, #208] + orr x21, x10, x11 + orr x22, x12, x13 + orr x23, x14, x15 + orr x24, x16, x17 + orr x21, x21, x22 + orr x23, x23, x24 + orr x21, x21, x19 + orr x21, x21, x23 + csel x0, x0, x10, ne + csel x1, x1, x11, ne + csel x2, x2, x12, ne + csel x3, x3, x13, ne + csel x4, x4, x14, ne + csel x5, x5, x15, ne + csel x6, x6, x16, ne + csel x7, x7, x17, ne + csel x8, x8, x19, ne + cmp x21, xzr + cset x21, ne + cmp x21, x20 + ldp x10, x11, [sp, #360] + ldp x12, x13, [sp, #376] + ldp x14, x15, [sp, #392] + ldp x16, x17, [sp, #408] + ldr x19, [sp, #424] + csel x0, x0, x10, ne + csel x1, x1, x11, ne + csel x2, x2, x12, ne + csel x3, x3, x13, ne + csel x4, x4, x14, ne + csel x5, x5, x15, ne + csel x6, x6, x16, ne + csel x7, x7, x17, ne + csel x8, x8, x19, ne + stp x0, x1, [sp, #360] + stp x2, x3, [sp, #376] + stp x4, x5, [sp, #392] + stp x6, x7, [sp, #408] + str x8, [sp, #424] + ldp x20, x21, [x27] + ldp x0, x1, [sp] + csel x0, x20, x0, cc + csel x1, x21, x1, cc + ldp x20, x21, [x28] + csel x0, x20, x0, hi + csel x1, x21, x1, hi + ldp x20, x21, [x27, #16] + ldp x2, x3, [sp, #16] + csel x2, x20, x2, cc + csel x3, x21, x3, cc + ldp x20, x21, [x28, #16] + csel x2, x20, x2, hi + csel x3, x21, x3, hi + ldp x20, x21, [x27, #32] + ldp x4, x5, [sp, #32] + csel x4, x20, x4, cc + csel x5, x21, x5, cc + ldp x20, x21, [x28, #32] + csel x4, x20, x4, hi + csel x5, x21, x5, hi + ldp x20, x21, [x27, #48] + ldp x6, x7, [sp, #48] + csel x6, x20, x6, cc + csel x7, x21, x7, cc + ldp x20, x21, [x28, #48] + csel x6, x20, x6, hi + csel x7, x21, x7, hi + ldr x20, [x27, #64] + ldr x8, [sp, #64] + csel x8, x20, x8, cc + ldr x21, [x28, #64] + csel x8, x21, x8, hi + ldp x20, x21, [x27, #72] + ldp x10, x11, [sp, #288] + csel x10, x20, x10, cc + csel x11, x21, x11, cc + ldp x20, x21, [x28, #72] + csel x10, x20, x10, hi + csel x11, x21, x11, hi + ldp x20, x21, [x27, #88] + ldp x12, x13, [sp, #304] + csel x12, x20, x12, cc + csel x13, x21, x13, cc + ldp x20, x21, [x28, #88] + csel x12, x20, x12, hi + csel x13, x21, x13, hi + ldp x20, x21, [x27, #104] + ldp x14, x15, [sp, #320] + csel x14, x20, x14, cc + csel x15, x21, x15, cc + ldp x20, x21, [x28, #104] + csel x14, x20, x14, hi + csel x15, x21, x15, hi + ldp x20, x21, [x27, #120] + ldp x16, x17, [sp, #336] + csel x16, x20, x16, cc + csel x17, x21, x17, cc + ldp x20, x21, [x28, #120] + csel x16, x20, x16, hi + csel x17, x21, x17, hi + ldr x20, [x27, #136] + ldr x19, [sp, #352] + csel x19, x20, x19, cc + ldr x21, [x28, #136] + csel x19, x21, x19, hi + stp x0, x1, [x26] + stp x2, x3, [x26, #16] + stp x4, x5, [x26, #32] + stp x6, x7, [x26, #48] + str x8, [x26, #64] + ldp x0, x1, [sp, #360] + ldp x2, x3, [sp, #376] + ldp x4, x5, [sp, #392] + ldp x6, x7, [sp, #408] + ldr x8, [sp, #424] + stp x10, x11, [x26, #72] + stp x12, x13, [x26, #88] + stp x14, x15, [x26, #104] + stp x16, x17, [x26, #120] + str x19, [x26, #136] + stp x0, x1, [x26, #144] + stp x2, x3, [x26, #160] + stp x4, x5, [x26, #176] + stp x6, x7, [x26, #192] + str x8, [x26, #208] + CFI_INC_SP(576) + CFI_POP2(x29,x30) + CFI_POP2(x27,x28) + CFI_POP2(x25,x26) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_jadd) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_jdouble) + +Lp521_jscalarmul_jdouble: + CFI_START + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_PUSH2(x25,x26) + CFI_PUSH2(x27,x28) + CFI_PUSH2(x29,x30) + CFI_DEC_SP(512) + mov x26, x0 + mov x27, x1 + mov x0, sp + add x1, x27, #0x90 + CFI_BL(Lp521_jscalarmul_sqr_p521) + add x0, sp, #0x48 + add x1, x27, #0x48 + CFI_BL(Lp521_jscalarmul_sqr_p521) + ldp x5, x6, [x27] + ldp x4, x3, [sp] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [x27, #16] + ldp x4, x3, [sp, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [x27, #32] + ldp x4, x3, [sp, #32] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + ldp x11, x12, [x27, #48] + ldp x4, x3, [sp, #48] + sbcs x11, x11, x4 + sbcs x12, x12, x3 + ldr x13, [x27, #64] + ldr x4, [sp, #64] + sbcs x13, x13, x4 + sbcs x5, x5, xzr + sbcs x6, x6, xzr + sbcs x7, x7, xzr + sbcs x8, x8, xzr + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbcs x13, x13, xzr + and x13, x13, #0x1ff + stp x5, x6, [sp, #216] + stp x7, x8, [sp, #232] + stp x9, x10, [sp, #248] + stp x11, x12, [sp, #264] + str x13, [sp, #280] + cmp xzr, xzr + ldp x5, x6, [x27] + ldp x4, x3, [sp] + adcs x5, x5, x4 + adcs x6, x6, x3 + ldp x7, x8, [x27, #16] + ldp x4, x3, [sp, #16] + adcs x7, x7, x4 + adcs x8, x8, x3 + ldp x9, x10, [x27, #32] + ldp x4, x3, [sp, #32] + adcs x9, x9, x4 + adcs x10, x10, x3 + ldp x11, x12, [x27, #48] + ldp x4, x3, [sp, #48] + adcs x11, x11, x4 + adcs x12, x12, x3 + ldr x13, [x27, #64] + ldr x4, [sp, #64] + adc x13, x13, x4 + subs x4, x13, #0x200 + csetm x4, cs + sbcs x5, x5, xzr + and x4, x4, #0x200 + sbcs x6, x6, xzr + sbcs x7, x7, xzr + sbcs x8, x8, xzr + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbc x13, x13, x4 + stp x5, x6, [sp, #144] + stp x7, x8, [sp, #160] + stp x9, x10, [sp, #176] + stp x11, x12, [sp, #192] + str x13, [sp, #208] + add x0, sp, #0xd8 + add x1, sp, #0x90 + add x2, sp, #0xd8 + CFI_BL(Lp521_jscalarmul_mul_p521) + cmp xzr, xzr + ldp x5, x6, [x27, #72] + ldp x4, x3, [x27, #144] + adcs x5, x5, x4 + adcs x6, x6, x3 + ldp x7, x8, [x27, #88] + ldp x4, x3, [x27, #160] + adcs x7, x7, x4 + adcs x8, x8, x3 + ldp x9, x10, [x27, #104] + ldp x4, x3, [x27, #176] + adcs x9, x9, x4 + adcs x10, x10, x3 + ldp x11, x12, [x27, #120] + ldp x4, x3, [x27, #192] + adcs x11, x11, x4 + adcs x12, x12, x3 + ldr x13, [x27, #136] + ldr x4, [x27, #208] + adc x13, x13, x4 + subs x4, x13, #0x200 + csetm x4, cs + sbcs x5, x5, xzr + and x4, x4, #0x200 + sbcs x6, x6, xzr + sbcs x7, x7, xzr + sbcs x8, x8, xzr + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbc x13, x13, x4 + stp x5, x6, [sp, #144] + stp x7, x8, [sp, #160] + stp x9, x10, [sp, #176] + stp x11, x12, [sp, #192] + str x13, [sp, #208] + add x0, sp, #0x120 + add x1, x27, #0x0 + add x2, sp, #0x48 + CFI_BL(Lp521_jscalarmul_mul_p521) + add x0, sp, #0x168 + add x1, sp, #0xd8 + CFI_BL(Lp521_jscalarmul_sqr_p521) + add x0, sp, #0x90 + add x1, sp, #0x90 + CFI_BL(Lp521_jscalarmul_sqr_p521) + ldp x6, x7, [sp, #288] + mov x1, #0xc + mul x3, x1, x6 + mul x4, x1, x7 + umulh x6, x1, x6 + adds x4, x4, x6 + umulh x7, x1, x7 + ldp x8, x9, [sp, #304] + mul x5, x1, x8 + mul x6, x1, x9 + umulh x8, x1, x8 + adcs x5, x5, x7 + umulh x9, x1, x9 + adcs x6, x6, x8 + ldp x10, x11, [sp, #320] + mul x7, x1, x10 + mul x8, x1, x11 + umulh x10, x1, x10 + adcs x7, x7, x9 + umulh x11, x1, x11 + adcs x8, x8, x10 + ldp x12, x13, [sp, #336] + mul x9, x1, x12 + mul x10, x1, x13 + umulh x12, x1, x12 + adcs x9, x9, x11 + umulh x13, x1, x13 + adcs x10, x10, x12 + ldr x14, [sp, #352] + mul x11, x1, x14 + adc x11, x11, x13 + mov x1, #0x9 + ldp x20, x21, [sp, #360] + mvn x20, x20 + mul x0, x1, x20 + umulh x20, x1, x20 + adds x3, x3, x0 + mvn x21, x21 + mul x0, x1, x21 + umulh x21, x1, x21 + adcs x4, x4, x0 + ldp x22, x23, [sp, #376] + mvn x22, x22 + mul x0, x1, x22 + umulh x22, x1, x22 + adcs x5, x5, x0 + mvn x23, x23 + mul x0, x1, x23 + umulh x23, x1, x23 + adcs x6, x6, x0 + ldp x17, x19, [sp, #392] + mvn x17, x17 + mul x0, x1, x17 + umulh x17, x1, x17 + adcs x7, x7, x0 + mvn x19, x19 + mul x0, x1, x19 + umulh x19, x1, x19 + adcs x8, x8, x0 + ldp x2, x16, [sp, #408] + mvn x2, x2 + mul x0, x1, x2 + umulh x2, x1, x2 + adcs x9, x9, x0 + mvn x16, x16 + mul x0, x1, x16 + umulh x16, x1, x16 + adcs x10, x10, x0 + ldr x0, [sp, #424] + eor x0, x0, #0x1ff + mul x0, x1, x0 + adc x11, x11, x0 + adds x4, x4, x20 + adcs x5, x5, x21 + and x15, x4, x5 + adcs x6, x6, x22 + and x15, x15, x6 + adcs x7, x7, x23 + and x15, x15, x7 + adcs x8, x8, x17 + and x15, x15, x8 + adcs x9, x9, x19 + and x15, x15, x9 + adcs x10, x10, x2 + and x15, x15, x10 + adc x11, x11, x16 + lsr x12, x11, #9 + orr x11, x11, #0xfffffffffffffe00 + cmp xzr, xzr + adcs xzr, x3, x12 + adcs xzr, x15, xzr + adcs xzr, x11, xzr + adcs x3, x3, x12 + adcs x4, x4, xzr + adcs x5, x5, xzr + adcs x6, x6, xzr + adcs x7, x7, xzr + adcs x8, x8, xzr + adcs x9, x9, xzr + adcs x10, x10, xzr + adc x11, x11, xzr + and x11, x11, #0x1ff + stp x3, x4, [sp, #360] + stp x5, x6, [sp, #376] + stp x7, x8, [sp, #392] + stp x9, x10, [sp, #408] + str x11, [sp, #424] + ldp x5, x6, [sp, #144] + ldp x4, x3, [sp] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #160] + ldp x4, x3, [sp, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [sp, #176] + ldp x4, x3, [sp, #32] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + ldp x11, x12, [sp, #192] + ldp x4, x3, [sp, #48] + sbcs x11, x11, x4 + sbcs x12, x12, x3 + ldr x13, [sp, #208] + ldr x4, [sp, #64] + sbcs x13, x13, x4 + sbcs x5, x5, xzr + sbcs x6, x6, xzr + sbcs x7, x7, xzr + sbcs x8, x8, xzr + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbcs x13, x13, xzr + and x13, x13, #0x1ff + stp x5, x6, [sp, #144] + stp x7, x8, [sp, #160] + stp x9, x10, [sp, #176] + stp x11, x12, [sp, #192] + str x13, [sp, #208] + mov x0, sp + add x1, sp, #0x48 + CFI_BL(Lp521_jscalarmul_sqr_p521) + add x0, sp, #0xd8 + add x1, sp, #0x168 + add x2, sp, #0xd8 + CFI_BL(Lp521_jscalarmul_mul_p521) + ldp x5, x6, [sp, #144] + ldp x4, x3, [sp, #72] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #160] + ldp x4, x3, [sp, #88] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [sp, #176] + ldp x4, x3, [sp, #104] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + ldp x11, x12, [sp, #192] + ldp x4, x3, [sp, #120] + sbcs x11, x11, x4 + sbcs x12, x12, x3 + ldr x13, [sp, #208] + ldr x4, [sp, #136] + sbcs x13, x13, x4 + sbcs x5, x5, xzr + sbcs x6, x6, xzr + sbcs x7, x7, xzr + sbcs x8, x8, xzr + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbcs x13, x13, xzr + and x13, x13, #0x1ff + stp x5, x6, [x26, #144] + stp x7, x8, [x26, #160] + stp x9, x10, [x26, #176] + stp x11, x12, [x26, #192] + str x13, [x26, #208] + ldp x6, x7, [sp, #288] + lsl x3, x6, #2 + extr x4, x7, x6, #62 + ldp x8, x9, [sp, #304] + extr x5, x8, x7, #62 + extr x6, x9, x8, #62 + ldp x10, x11, [sp, #320] + extr x7, x10, x9, #62 + extr x8, x11, x10, #62 + ldp x12, x13, [sp, #336] + extr x9, x12, x11, #62 + extr x10, x13, x12, #62 + ldr x14, [sp, #352] + extr x11, x14, x13, #62 + ldp x0, x1, [sp, #360] + mvn x0, x0 + adds x3, x3, x0 + sbcs x4, x4, x1 + ldp x0, x1, [sp, #376] + sbcs x5, x5, x0 + and x15, x4, x5 + sbcs x6, x6, x1 + and x15, x15, x6 + ldp x0, x1, [sp, #392] + sbcs x7, x7, x0 + and x15, x15, x7 + sbcs x8, x8, x1 + and x15, x15, x8 + ldp x0, x1, [sp, #408] + sbcs x9, x9, x0 + and x15, x15, x9 + sbcs x10, x10, x1 + and x15, x15, x10 + ldr x0, [sp, #424] + eor x0, x0, #0x1ff + adc x11, x11, x0 + lsr x12, x11, #9 + orr x11, x11, #0xfffffffffffffe00 + cmp xzr, xzr + adcs xzr, x3, x12 + adcs xzr, x15, xzr + adcs xzr, x11, xzr + adcs x3, x3, x12 + adcs x4, x4, xzr + adcs x5, x5, xzr + adcs x6, x6, xzr + adcs x7, x7, xzr + adcs x8, x8, xzr + adcs x9, x9, xzr + adcs x10, x10, xzr + adc x11, x11, xzr + and x11, x11, #0x1ff + stp x3, x4, [x26] + stp x5, x6, [x26, #16] + stp x7, x8, [x26, #32] + stp x9, x10, [x26, #48] + str x11, [x26, #64] + ldp x6, x7, [sp, #216] + lsl x3, x6, #1 + adds x3, x3, x6 + extr x4, x7, x6, #63 + adcs x4, x4, x7 + ldp x8, x9, [sp, #232] + extr x5, x8, x7, #63 + adcs x5, x5, x8 + extr x6, x9, x8, #63 + adcs x6, x6, x9 + ldp x10, x11, [sp, #248] + extr x7, x10, x9, #63 + adcs x7, x7, x10 + extr x8, x11, x10, #63 + adcs x8, x8, x11 + ldp x12, x13, [sp, #264] + extr x9, x12, x11, #63 + adcs x9, x9, x12 + extr x10, x13, x12, #63 + adcs x10, x10, x13 + ldr x14, [sp, #280] + extr x11, x14, x13, #63 + adc x11, x11, x14 + ldp x20, x21, [sp] + mvn x20, x20 + lsl x0, x20, #3 + adds x3, x3, x0 + mvn x21, x21 + extr x0, x21, x20, #61 + adcs x4, x4, x0 + ldp x22, x23, [sp, #16] + mvn x22, x22 + extr x0, x22, x21, #61 + adcs x5, x5, x0 + and x15, x4, x5 + mvn x23, x23 + extr x0, x23, x22, #61 + adcs x6, x6, x0 + and x15, x15, x6 + ldp x20, x21, [sp, #32] + mvn x20, x20 + extr x0, x20, x23, #61 + adcs x7, x7, x0 + and x15, x15, x7 + mvn x21, x21 + extr x0, x21, x20, #61 + adcs x8, x8, x0 + and x15, x15, x8 + ldp x22, x23, [sp, #48] + mvn x22, x22 + extr x0, x22, x21, #61 + adcs x9, x9, x0 + and x15, x15, x9 + mvn x23, x23 + extr x0, x23, x22, #61 + adcs x10, x10, x0 + and x15, x15, x10 + ldr x0, [sp, #64] + eor x0, x0, #0x1ff + extr x0, x0, x23, #61 + adc x11, x11, x0 + lsr x12, x11, #9 + orr x11, x11, #0xfffffffffffffe00 + cmp xzr, xzr + adcs xzr, x3, x12 + adcs xzr, x15, xzr + adcs xzr, x11, xzr + adcs x3, x3, x12 + adcs x4, x4, xzr + adcs x5, x5, xzr + adcs x6, x6, xzr + adcs x7, x7, xzr + adcs x8, x8, xzr + adcs x9, x9, xzr + adcs x10, x10, xzr + adc x11, x11, xzr + and x11, x11, #0x1ff + stp x3, x4, [x26, #72] + stp x5, x6, [x26, #88] + stp x7, x8, [x26, #104] + stp x9, x10, [x26, #120] + str x11, [x26, #136] + CFI_INC_SP(512) + CFI_POP2(x29,x30) + CFI_POP2(x27,x28) + CFI_POP2(x25,x26) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_jdouble) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_mul_p521) + +Lp521_jscalarmul_mul_p521: + CFI_START + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_PUSH2(x25,x26) + CFI_DEC_SP(80) + ldr q6, [x2] + ldp x10, x17, [x1, #16] + ldr q4, [x1] + ldr q16, [x2, #32] + ldp x5, x20, [x2, #16] + ldr q2, [x1, #32] + movi v31.2D, #0x00000000ffffffff + uzp2 v17.4S, v6.4S, v6.4S + rev64 v7.4S, v6.4S + ldp x15, x21, [x1] + xtn v25.2S, v6.2D + xtn v22.2S, v4.2D + subs x14, x10, x17 + mul v7.4S, v7.4S, v4.4S + csetm x8, cc + rev64 v3.4S, v16.4S + xtn v1.2S, v16.2D + ldp x13, x16, [x2] + mul x26, x10, x5 + uzp2 v16.4S, v16.4S, v16.4S + uaddlp v26.2D, v7.4S + cneg x4, x14, cc + subs x24, x15, x21 + xtn v5.2S, v2.2D + mul v28.4S, v3.4S, v2.4S + shl v26.2D, v26.2D, #32 + mul x22, x17, x20 + umull v20.2D, v22.2S, v25.2S + uzp2 v6.4S, v4.4S, v4.4S + umull v18.2D, v22.2S, v17.2S + uzp2 v4.4S, v2.4S, v2.4S + cneg x14, x24, cc + csetm x7, cc + umulh x11, x17, x20 + usra v18.2D, v20.2D, #32 + uaddlp v7.2D, v28.4S + subs x19, x16, x13 + umlal v26.2D, v22.2S, v25.2S + cneg x19, x19, cc + shl v28.2D, v7.2D, #32 + umull v7.2D, v5.2S, v1.2S + umull v30.2D, v5.2S, v16.2S + cinv x6, x7, cc + mul x25, x14, x19 + umlal v28.2D, v5.2S, v1.2S + umull v21.2D, v6.2S, v17.2S + umulh x14, x14, x19 + usra v30.2D, v7.2D, #32 + subs x9, x20, x5 + and v29.16B, v18.16B, v31.16B + cinv x23, x8, cc + mov x8, v26.d[1] + cneg x12, x9, cc + usra v21.2D, v18.2D, #32 + umlal v29.2D, v6.2S, v25.2S + mul x24, x4, x12 + umull v18.2D, v4.2S, v16.2S + movi v25.2D, #0x00000000ffffffff + eor x9, x14, x6 + and v7.16B, v30.16B, v25.16B + usra v21.2D, v29.2D, #32 + umulh x7, x10, x5 + usra v18.2D, v30.2D, #32 + umlal v7.2D, v4.2S, v1.2S + mov x19, v21.d[0] + umulh x3, x4, x12 + mov x14, v21.d[1] + usra v18.2D, v7.2D, #32 + adds x4, x8, x19 + mov x8, v26.d[0] + adcs x19, x26, x14 + adcs x14, x22, x7 + adc x12, x11, xzr + adds x11, x4, x8 + adcs x26, x19, x4 + adcs x22, x14, x19 + eor x4, x24, x23 + adcs x14, x12, x14 + eor x7, x25, x6 + adc x25, xzr, x12 + eor x19, x3, x23 + adds x3, x26, x8 + adcs x24, x22, x11 + adcs x12, x14, x26 + adcs x22, x25, x22 + adcs x26, xzr, x14 + adc x14, xzr, x25 + cmn x23, #0x1 + adcs x22, x22, x4 + adcs x19, x26, x19 + adc x25, x14, x23 + subs x14, x21, x17 + cneg x23, x14, cc + csetm x26, cc + subs x4, x20, x16 + cneg x14, x4, cc + cinv x4, x26, cc + cmn x6, #0x1 + adcs x11, x11, x7 + mul x7, x23, x14 + adcs x9, x3, x9 + adcs x26, x24, x6 + umulh x3, x23, x14 + adcs x14, x12, x6 + adcs x22, x22, x6 + adcs x12, x19, x6 + extr x24, x11, x8, #55 + adc x6, x25, x6 + subs x19, x15, x17 + csetm x17, cc + cneg x23, x19, cc + subs x19, x20, x13 + lsl x25, x8, #9 + eor x8, x7, x4 + cneg x20, x19, cc + umulh x7, x23, x20 + cinv x19, x17, cc + subs x17, x15, x10 + csetm x15, cc + stp x25, x24, [sp, #32] + cneg x24, x17, cc + mul x20, x23, x20 + subs x25, x5, x13 + cneg x13, x25, cc + cinv x15, x15, cc + mul x25, x24, x13 + subs x21, x21, x10 + csetm x23, cc + cneg x17, x21, cc + subs x21, x5, x16 + umulh x13, x24, x13 + cinv x10, x23, cc + cneg x23, x21, cc + cmn x4, #0x1 + adcs x14, x14, x8 + eor x21, x3, x4 + adcs x21, x22, x21 + eor x5, x20, x19 + adcs x24, x12, x4 + mul x12, x17, x23 + eor x8, x25, x15 + adc x25, x6, x4 + cmn x15, #0x1 + adcs x6, x9, x8 + ldp x20, x8, [x2, #48] + eor x9, x13, x15 + adcs x4, x26, x9 + umulh x26, x17, x23 + ldp x17, x13, [x1, #48] + adcs x9, x14, x15 + adcs x16, x21, x15 + adcs x14, x24, x15 + eor x21, x7, x19 + mul x23, x17, x20 + adc x24, x25, x15 + cmn x19, #0x1 + adcs x7, x4, x5 + adcs x9, x9, x21 + umulh x3, x13, x8 + adcs x16, x16, x19 + adcs x22, x14, x19 + eor x5, x12, x10 + adc x12, x24, x19 + cmn x10, #0x1 + adcs x19, x7, x5 + eor x14, x26, x10 + mov x7, v28.d[1] + adcs x24, x9, x14 + extr x4, x19, x6, #55 + umulh x15, x17, x20 + mov x14, v18.d[1] + lsr x9, x19, #55 + adcs x5, x16, x10 + mov x16, v18.d[0] + adcs x19, x22, x10 + str x9, [sp, #64] + extr x25, x6, x11, #55 + adc x21, x12, x10 + subs x26, x17, x13 + stp x25, x4, [sp, #48] + stp x19, x21, [sp, #16] + csetm x6, cc + cneg x4, x26, cc + mul x19, x13, x8 + subs x11, x8, x20 + stp x24, x5, [sp] + ldp x21, x10, [x1, #32] + cinv x12, x6, cc + cneg x6, x11, cc + mov x9, v28.d[0] + umulh x25, x4, x6 + adds x22, x7, x16 + ldp x16, x5, [x2, #32] + adcs x14, x23, x14 + adcs x11, x19, x15 + adc x24, x3, xzr + adds x3, x22, x9 + adcs x15, x14, x22 + mul x22, x4, x6 + adcs x6, x11, x14 + adcs x4, x24, x11 + eor x14, x25, x12 + adc x26, xzr, x24 + subs x7, x21, x10 + csetm x23, cc + cneg x19, x7, cc + subs x24, x5, x16 + cneg x11, x24, cc + cinv x7, x23, cc + adds x25, x15, x9 + eor x23, x22, x12 + adcs x22, x6, x3 + mul x24, x19, x11 + adcs x15, x4, x15 + adcs x6, x26, x6 + umulh x19, x19, x11 + adcs x11, xzr, x4 + adc x26, xzr, x26 + cmn x12, #0x1 + adcs x4, x6, x23 + eor x6, x24, x7 + adcs x14, x11, x14 + adc x26, x26, x12 + subs x11, x10, x13 + cneg x12, x11, cc + csetm x11, cc + eor x19, x19, x7 + subs x24, x8, x5 + cinv x11, x11, cc + cneg x24, x24, cc + cmn x7, #0x1 + adcs x3, x3, x6 + mul x23, x12, x24 + adcs x25, x25, x19 + adcs x6, x22, x7 + umulh x19, x12, x24 + adcs x22, x15, x7 + adcs x12, x4, x7 + eor x24, x23, x11 + adcs x4, x14, x7 + adc x26, x26, x7 + eor x19, x19, x11 + subs x14, x21, x17 + cneg x7, x14, cc + csetm x14, cc + subs x23, x20, x16 + cinv x14, x14, cc + cneg x23, x23, cc + cmn x11, #0x1 + adcs x22, x22, x24 + mul x24, x7, x23 + adcs x15, x12, x19 + adcs x4, x4, x11 + adc x19, x26, x11 + umulh x26, x7, x23 + subs x7, x21, x13 + eor x11, x24, x14 + cneg x23, x7, cc + csetm x12, cc + subs x7, x8, x16 + cneg x7, x7, cc + cinv x12, x12, cc + cmn x14, #0x1 + eor x26, x26, x14 + adcs x11, x25, x11 + mul x25, x23, x7 + adcs x26, x6, x26 + adcs x6, x22, x14 + adcs x24, x15, x14 + umulh x23, x23, x7 + adcs x4, x4, x14 + adc x22, x19, x14 + eor x14, x25, x12 + eor x7, x23, x12 + cmn x12, #0x1 + adcs x14, x26, x14 + ldp x19, x25, [x2] + ldp x15, x23, [x2, #16] + adcs x26, x6, x7 + adcs x24, x24, x12 + adcs x7, x4, x12 + adc x4, x22, x12 + subs x19, x19, x16 + ldp x16, x22, [x1] + sbcs x6, x25, x5 + ldp x12, x25, [x1, #16] + sbcs x15, x15, x20 + sbcs x8, x23, x8 + csetm x23, cc + subs x21, x21, x16 + eor x16, x19, x23 + sbcs x19, x10, x22 + eor x22, x6, x23 + eor x8, x8, x23 + sbcs x6, x17, x12 + sbcs x13, x13, x25 + csetm x12, cc + subs x10, x10, x17 + cneg x17, x10, cc + csetm x25, cc + subs x5, x20, x5 + eor x10, x19, x12 + cneg x19, x5, cc + eor x20, x15, x23 + eor x21, x21, x12 + cinv x15, x25, cc + mul x25, x17, x19 + subs x16, x16, x23 + sbcs x5, x22, x23 + eor x6, x6, x12 + sbcs x20, x20, x23 + eor x22, x13, x12 + sbc x8, x8, x23 + subs x21, x21, x12 + umulh x19, x17, x19 + sbcs x10, x10, x12 + sbcs x17, x6, x12 + eor x6, x19, x15 + eor x19, x25, x15 + umulh x25, x17, x20 + sbc x13, x22, x12 + cmn x15, #0x1 + adcs x22, x14, x19 + adcs x19, x26, x6 + ldp x6, x26, [sp] + adcs x14, x24, x15 + umulh x24, x21, x16 + adcs x7, x7, x15 + adc x15, x4, x15 + adds x4, x9, x6 + eor x9, x23, x12 + adcs x12, x3, x26 + stp x4, x12, [sp] + ldp x4, x26, [sp, #16] + umulh x12, x10, x5 + ldp x6, x23, [sp, #32] + adcs x3, x11, x4 + mul x4, x13, x8 + adcs x26, x22, x26 + ldp x22, x11, [sp, #48] + adcs x6, x19, x6 + stp x3, x26, [sp, #16] + mul x26, x10, x5 + adcs x14, x14, x23 + stp x6, x14, [sp, #32] + ldr x6, [sp, #64] + adcs x22, x7, x22 + adcs x14, x15, x11 + mul x11, x17, x20 + adc x19, x6, xzr + stp x22, x14, [sp, #48] + adds x14, x26, x24 + str x19, [sp, #64] + umulh x19, x13, x8 + adcs x7, x11, x12 + adcs x22, x4, x25 + mul x6, x21, x16 + adc x19, x19, xzr + subs x11, x17, x13 + cneg x12, x11, cc + csetm x11, cc + subs x24, x8, x20 + cinv x11, x11, cc + cneg x24, x24, cc + adds x4, x14, x6 + adcs x14, x7, x14 + mul x3, x12, x24 + adcs x7, x22, x7 + adcs x22, x19, x22 + umulh x12, x12, x24 + adc x24, xzr, x19 + adds x19, x14, x6 + eor x3, x3, x11 + adcs x26, x7, x4 + adcs x14, x22, x14 + adcs x25, x24, x7 + adcs x23, xzr, x22 + eor x7, x12, x11 + adc x12, xzr, x24 + subs x22, x21, x10 + cneg x24, x22, cc + csetm x22, cc + subs x15, x5, x16 + cinv x22, x22, cc + cneg x15, x15, cc + cmn x11, #0x1 + adcs x3, x25, x3 + mul x25, x24, x15 + adcs x23, x23, x7 + adc x11, x12, x11 + subs x7, x10, x13 + umulh x15, x24, x15 + cneg x12, x7, cc + csetm x7, cc + eor x24, x25, x22 + eor x25, x15, x22 + cmn x22, #0x1 + adcs x24, x4, x24 + adcs x19, x19, x25 + adcs x15, x26, x22 + adcs x4, x14, x22 + adcs x26, x3, x22 + adcs x25, x23, x22 + adc x23, x11, x22 + subs x14, x21, x17 + cneg x3, x14, cc + csetm x11, cc + subs x14, x8, x5 + cneg x14, x14, cc + cinv x7, x7, cc + subs x13, x21, x13 + cneg x21, x13, cc + csetm x13, cc + mul x22, x12, x14 + subs x8, x8, x16 + cinv x13, x13, cc + umulh x14, x12, x14 + cneg x12, x8, cc + subs x8, x20, x16 + cneg x8, x8, cc + cinv x16, x11, cc + eor x22, x22, x7 + cmn x7, #0x1 + eor x14, x14, x7 + adcs x4, x4, x22 + mul x11, x3, x8 + adcs x22, x26, x14 + adcs x14, x25, x7 + eor x25, x24, x9 + adc x26, x23, x7 + umulh x7, x3, x8 + subs x17, x10, x17 + cneg x24, x17, cc + eor x3, x11, x16 + csetm x11, cc + subs x20, x20, x5 + cneg x5, x20, cc + cinv x11, x11, cc + cmn x16, #0x1 + mul x17, x21, x12 + eor x8, x7, x16 + adcs x10, x19, x3 + and x19, x9, #0x1ff + adcs x20, x15, x8 + umulh x15, x21, x12 + eor x12, x10, x9 + eor x8, x6, x9 + adcs x6, x4, x16 + adcs x4, x22, x16 + adcs x21, x14, x16 + adc x7, x26, x16 + mul x10, x24, x5 + cmn x13, #0x1 + ldp x3, x14, [x1] + eor x17, x17, x13 + umulh x5, x24, x5 + adcs x20, x20, x17 + eor x17, x15, x13 + adcs x16, x6, x17 + eor x22, x10, x11 + adcs x23, x4, x13 + extr x10, x14, x3, #52 + and x26, x3, #0xfffffffffffff + adcs x24, x21, x13 + and x15, x10, #0xfffffffffffff + adc x6, x7, x13 + cmn x11, #0x1 + adcs x17, x20, x22 + eor x4, x5, x11 + ldp x21, x10, [sp] + adcs x7, x16, x4 + eor x16, x17, x9 + eor x13, x7, x9 + ldp x3, x17, [sp, #16] + adcs x7, x23, x11 + eor x23, x7, x9 + ldp x5, x22, [sp, #32] + adcs x7, x24, x11 + adc x24, x6, x11 + ldr x6, [x2, #64] + adds x20, x8, x21 + lsl x11, x20, #9 + eor x4, x7, x9 + orr x7, x11, x19 + eor x8, x24, x9 + adcs x11, x25, x10 + mul x26, x6, x26 + ldp x19, x24, [sp, #48] + adcs x12, x12, x3 + adcs x16, x16, x17 + adcs x9, x13, x5 + ldr x25, [sp, #64] + extr x20, x11, x20, #55 + adcs x13, x23, x22 + adcs x4, x4, x19 + extr x23, x12, x11, #55 + adcs x8, x8, x24 + adc x11, x25, xzr + adds x21, x9, x21 + extr x9, x16, x12, #55 + lsr x12, x16, #55 + adcs x10, x13, x10 + mul x15, x6, x15 + adcs x13, x4, x3 + ldp x16, x4, [x2] + ldr x3, [x1, #64] + adcs x17, x8, x17 + adcs x5, x5, x7 + adcs x20, x22, x20 + adcs x8, x19, x23 + and x22, x16, #0xfffffffffffff + ldp x19, x7, [x1, #16] + adcs x9, x24, x9 + extr x24, x4, x16, #52 + adc x16, x12, x25 + mul x22, x3, x22 + and x25, x24, #0xfffffffffffff + extr x14, x19, x14, #40 + and x12, x14, #0xfffffffffffff + extr x23, x7, x19, #28 + ldp x19, x24, [x2, #16] + mul x14, x3, x25 + and x23, x23, #0xfffffffffffff + add x22, x26, x22 + lsl x11, x11, #48 + lsr x26, x22, #52 + lsl x25, x22, #12 + mul x22, x6, x12 + extr x12, x19, x4, #40 + add x4, x15, x14 + mul x15, x6, x23 + add x4, x4, x26 + extr x23, x24, x19, #28 + ldp x14, x19, [x1, #32] + and x26, x12, #0xfffffffffffff + extr x12, x4, x25, #12 + and x25, x23, #0xfffffffffffff + adds x21, x21, x12 + mul x12, x3, x26 + extr x23, x14, x7, #16 + and x23, x23, #0xfffffffffffff + mul x7, x3, x25 + ldp x25, x26, [x2, #32] + add x12, x22, x12 + extr x22, x19, x14, #56 + mul x23, x6, x23 + lsr x14, x14, #4 + extr x24, x25, x24, #16 + add x7, x15, x7 + and x15, x24, #0xfffffffffffff + and x22, x22, #0xfffffffffffff + lsr x24, x4, #52 + mul x15, x3, x15 + and x14, x14, #0xfffffffffffff + add x12, x12, x24 + lsl x24, x4, #12 + lsr x4, x12, #52 + extr x24, x12, x24, #24 + adcs x10, x10, x24 + lsl x24, x12, #12 + add x12, x7, x4 + mul x22, x6, x22 + add x4, x23, x15 + extr x7, x12, x24, #36 + adcs x13, x13, x7 + lsl x15, x12, #12 + add x7, x4, x11 + lsr x24, x12, #52 + ldp x23, x11, [x2, #48] + add x4, x7, x24 + mul x12, x6, x14 + extr x7, x26, x25, #56 + extr x14, x4, x15, #48 + and x2, x7, #0xfffffffffffff + extr x24, x11, x23, #32 + ldp x15, x7, [x1, #48] + and x1, x24, #0xfffffffffffff + lsr x24, x4, #52 + mul x2, x3, x2 + extr x26, x23, x26, #44 + lsr x23, x25, #4 + and x23, x23, #0xfffffffffffff + and x25, x26, #0xfffffffffffff + extr x26, x7, x15, #32 + extr x19, x15, x19, #44 + mul x23, x3, x23 + and x15, x26, #0xfffffffffffff + lsl x26, x4, #12 + and x4, x19, #0xfffffffffffff + lsr x11, x11, #20 + mul x19, x6, x4 + adcs x17, x17, x14 + add x14, x22, x2 + add x22, x12, x23 + lsr x7, x7, #20 + add x22, x22, x24 + extr x2, x22, x26, #60 + mul x24, x3, x25 + lsr x22, x22, #52 + add x14, x14, x22 + lsl x22, x2, #8 + extr x22, x14, x22, #8 + lsl x2, x14, #12 + mul x1, x3, x1 + adcs x12, x5, x22 + mul x5, x6, x15 + and x26, x10, x13 + and x4, x26, x17 + add x23, x19, x24 + lsr x14, x14, #52 + mul x22, x3, x11 + add x11, x23, x14 + extr x25, x11, x2, #20 + lsl x19, x11, #12 + adcs x25, x20, x25 + and x14, x4, x12 + add x1, x5, x1 + and x14, x14, x25 + mul x15, x6, x7 + add x26, x15, x22 + mul x6, x6, x3 + lsr x22, x11, #52 + add x4, x1, x22 + lsr x1, x4, #52 + extr x3, x4, x19, #32 + lsl x15, x4, #12 + add x7, x26, x1 + adcs x23, x8, x3 + extr x20, x7, x15, #44 + and x3, x14, x23 + lsr x19, x7, #44 + adcs x7, x9, x20 + add x11, x6, x19 + adc x4, x16, x11 + lsr x14, x4, #9 + cmp xzr, xzr + and x15, x3, x7 + orr x3, x4, #0xfffffffffffffe00 + adcs xzr, x21, x14 + adcs xzr, x15, xzr + adcs xzr, x3, xzr + adcs x11, x21, x14 + and x14, x11, #0x1ff + adcs x1, x10, xzr + extr x10, x1, x11, #9 + str x14, [x0, #64] + adcs x14, x13, xzr + extr x11, x14, x1, #9 + adcs x1, x17, xzr + extr x4, x1, x14, #9 + stp x10, x11, [x0] + adcs x11, x12, xzr + extr x14, x11, x1, #9 + adcs x10, x25, xzr + extr x11, x10, x11, #9 + stp x4, x14, [x0, #16] + adcs x14, x23, xzr + extr x10, x14, x10, #9 + adcs x1, x7, xzr + stp x11, x10, [x0, #32] + extr x14, x1, x14, #9 + adc x10, x3, xzr + extr x26, x10, x1, #9 + stp x14, x26, [x0, #48] + CFI_INC_SP(80) + CFI_POP2(x25,x26) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_mul_p521) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_sqr_p521) + +Lp521_jscalarmul_sqr_p521: + CFI_START + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + ldr q23, [x1, #32] + ldp x9, x2, [x1, #32] + ldr q16, [x1, #32] + ldr q20, [x1, #48] + ldp x6, x13, [x1, #48] + rev64 v2.4S, v23.4S + mul x14, x9, x2 + ldr q31, [x1, #48] + subs x22, x9, x2 + uzp2 v26.4S, v23.4S, v23.4S + mul v30.4S, v2.4S, v16.4S + xtn v0.2S, v20.2D + csetm x12, cc + xtn v21.2S, v16.2D + xtn v23.2S, v23.2D + umulh x10, x9, x6 + rev64 v27.4S, v31.4S + umull v2.2D, v21.2S, v26.2S + cneg x23, x22, cc + uaddlp v25.2D, v30.4S + umull v18.2D, v21.2S, v23.2S + mul x22, x9, x6 + mul v6.4S, v27.4S, v20.4S + uzp2 v17.4S, v20.4S, v20.4S + shl v20.2D, v25.2D, #32 + uzp2 v27.4S, v31.4S, v31.4S + mul x16, x2, x13 + umlal v20.2D, v21.2S, v23.2S + usra v2.2D, v18.2D, #32 + adds x8, x22, x10 + umull v25.2D, v17.2S, v27.2S + xtn v31.2S, v31.2D + movi v1.2D, #0xffffffff + adc x3, x10, xzr + umulh x21, x2, x13 + uzp2 v21.4S, v16.4S, v16.4S + umull v18.2D, v0.2S, v27.2S + subs x19, x13, x6 + and v7.16B, v2.16B, v1.16B + umull v27.2D, v0.2S, v31.2S + cneg x20, x19, cc + movi v30.2D, #0xffffffff + umull v16.2D, v21.2S, v26.2S + umlal v7.2D, v21.2S, v23.2S + mul x19, x23, x20 + cinv x7, x12, cc + uaddlp v6.2D, v6.4S + eor x12, x19, x7 + adds x11, x8, x16 + umulh x10, x23, x20 + ldr q1, [x1] + usra v16.2D, v2.2D, #32 + adcs x19, x3, x21 + shl v2.2D, v6.2D, #32 + adc x20, x21, xzr + adds x17, x19, x16 + usra v18.2D, v27.2D, #32 + adc x19, x20, xzr + cmn x7, #0x1 + umlal v2.2D, v0.2S, v31.2S + umulh x16, x9, x2 + adcs x8, x11, x12 + usra v16.2D, v7.2D, #32 + ldr x12, [x1, #64] + eor x20, x10, x7 + umulh x10, x6, x13 + mov x23, v2.d[0] + mov x3, v2.d[1] + adcs x21, x17, x20 + usra v25.2D, v18.2D, #32 + and v23.16B, v18.16B, v30.16B + adc x7, x19, x7 + adds x22, x22, x22 + ldr q7, [x1, #16] + adcs x17, x8, x8 + umlal v23.2D, v17.2S, v31.2S + mov x19, v16.d[0] + mul x11, x12, x12 + ldr q4, [x1] + usra v25.2D, v23.2D, #32 + add x5, x12, x12 + adcs x15, x21, x21 + ldr q28, [x1] + mov x12, v20.d[1] + adcs x24, x7, x7 + mov x21, v16.d[1] + adc x4, xzr, xzr + adds x19, x19, x14 + ldr q18, [x1, #16] + xtn v26.2S, v1.2D + adcs x8, x12, x16 + adc x21, x21, xzr + adds x7, x19, x14 + xtn v23.2S, v7.2D + rev64 v21.4S, v28.4S + adcs x12, x8, x16 + ldp x20, x19, [x1] + mov x16, v25.d[1] + xtn v22.2S, v28.2D + adc x14, x21, xzr + adds x8, x22, x12 + uzp2 v24.4S, v28.4S, v28.4S + rev64 v28.4S, v18.4S + mul x12, x6, x13 + mul v16.4S, v21.4S, v1.4S + shrn v31.2S, v7.2D, #32 + adcs x22, x17, x14 + mov x14, v25.d[0] + and x21, x20, #0xfffffffffffff + umull v17.2D, v26.2S, v24.2S + ldr q2, [x1, #32] + adcs x17, x15, xzr + ldr q30, [x1, #48] + umull v7.2D, v26.2S, v22.2S + adcs x15, x24, xzr + ldr q0, [x1, #16] + movi v6.2D, #0xffffffff + adc x4, x4, xzr + adds x14, x14, x12 + uzp1 v27.4S, v18.4S, v4.4S + uzp2 v19.4S, v1.4S, v1.4S + adcs x24, x3, x10 + mul x3, x5, x21 + umull v29.2D, v23.2S, v31.2S + ldr q5, [x1] + adc x21, x16, xzr + adds x16, x14, x12 + extr x12, x19, x20, #52 + umull v18.2D, v19.2S, v24.2S + adcs x24, x24, x10 + and x10, x12, #0xfffffffffffff + ldp x14, x12, [x1, #16] + usra v17.2D, v7.2D, #32 + adc x21, x21, xzr + adds x23, x23, x17 + mul x17, x5, x10 + shl v21.2D, v29.2D, #33 + lsl x10, x3, #12 + lsr x1, x3, #52 + rev64 v29.4S, v2.4S + uaddlp v25.2D, v16.4S + add x17, x17, x1 + adcs x16, x16, x15 + extr x3, x14, x19, #40 + mov x15, v20.d[0] + extr x10, x17, x10, #12 + and x3, x3, #0xfffffffffffff + shl v3.2D, v25.2D, #32 + and v6.16B, v17.16B, v6.16B + mul x1, x5, x3 + usra v18.2D, v17.2D, #32 + adcs x3, x24, x4 + extr x4, x12, x14, #28 + umlal v6.2D, v19.2S, v22.2S + xtn v20.2S, v2.2D + umlal v3.2D, v26.2S, v22.2S + movi v26.2D, #0xffffffff + lsr x24, x17, #52 + and x4, x4, #0xfffffffffffff + uzp2 v19.4S, v2.4S, v2.4S + add x1, x1, x24 + mul x24, x5, x4 + lsl x4, x17, #12 + xtn v24.2S, v5.2D + extr x17, x1, x4, #24 + adc x21, x21, xzr + umlal v21.2D, v23.2S, v23.2S + adds x4, x15, x10 + lsl x10, x1, #12 + adcs x15, x7, x17 + mul v23.4S, v28.4S, v4.4S + and x7, x4, #0x1ff + lsr x17, x1, #52 + umulh x1, x19, x12 + uzp2 v17.4S, v5.4S, v5.4S + extr x4, x15, x4, #9 + add x24, x24, x17 + mul v29.4S, v29.4S, v5.4S + extr x17, x24, x10, #36 + extr x10, x9, x12, #16 + uzp1 v28.4S, v4.4S, v4.4S + adcs x17, x8, x17 + and x8, x10, #0xfffffffffffff + umull v16.2D, v24.2S, v20.2S + extr x10, x17, x15, #9 + mul x15, x5, x8 + stp x4, x10, [x0] + lsl x4, x24, #12 + lsr x8, x9, #4 + uaddlp v4.2D, v23.4S + and x8, x8, #0xfffffffffffff + umull v23.2D, v24.2S, v19.2S + mul x8, x5, x8 + extr x10, x2, x9, #56 + lsr x24, x24, #52 + and x10, x10, #0xfffffffffffff + add x15, x15, x24 + extr x4, x15, x4, #48 + mul x24, x5, x10 + lsr x10, x15, #52 + usra v23.2D, v16.2D, #32 + add x10, x8, x10 + shl v4.2D, v4.2D, #32 + adcs x22, x22, x4 + extr x4, x6, x2, #44 + lsl x15, x15, #12 + lsr x8, x10, #52 + extr x15, x10, x15, #60 + and x10, x4, #0xfffffffffffff + umlal v4.2D, v28.2S, v27.2S + add x8, x24, x8 + extr x4, x13, x6, #32 + mul x24, x5, x10 + uzp2 v16.4S, v30.4S, v30.4S + lsl x10, x15, #8 + rev64 v28.4S, v30.4S + and x15, x4, #0xfffffffffffff + extr x4, x8, x10, #8 + mul x10, x5, x15 + lsl x15, x8, #12 + adcs x23, x23, x4 + lsr x4, x8, #52 + lsr x8, x13, #20 + add x4, x24, x4 + mul x8, x5, x8 + lsr x24, x4, #52 + extr x15, x4, x15, #20 + lsl x4, x4, #12 + add x10, x10, x24 + adcs x15, x16, x15 + extr x4, x10, x4, #32 + umulh x5, x20, x14 + adcs x3, x3, x4 + usra v18.2D, v6.2D, #32 + lsl x16, x10, #12 + extr x24, x15, x23, #9 + lsr x10, x10, #52 + uzp2 v27.4S, v0.4S, v0.4S + add x8, x8, x10 + extr x10, x3, x15, #9 + extr x4, x22, x17, #9 + and v25.16B, v23.16B, v26.16B + lsr x17, x8, #44 + extr x15, x8, x16, #44 + extr x16, x23, x22, #9 + xtn v7.2S, v30.2D + mov x8, v4.d[0] + stp x24, x10, [x0, #32] + uaddlp v30.2D, v29.4S + stp x4, x16, [x0, #16] + umulh x24, x20, x19 + adcs x15, x21, x15 + adc x16, x11, x17 + subs x11, x20, x19 + xtn v5.2S, v0.2D + csetm x17, cc + extr x3, x15, x3, #9 + mov x22, v4.d[1] + cneg x21, x11, cc + subs x10, x12, x14 + mul v31.4S, v28.4S, v0.4S + cneg x10, x10, cc + cinv x11, x17, cc + shl v4.2D, v30.2D, #32 + umull v28.2D, v5.2S, v16.2S + extr x23, x16, x15, #9 + adds x4, x8, x5 + mul x17, x21, x10 + umull v22.2D, v5.2S, v7.2S + adc x15, x5, xzr + adds x4, x4, x22 + uaddlp v2.2D, v31.4S + lsr x5, x16, #9 + adcs x16, x15, x1 + mov x15, v18.d[0] + adc x1, x1, xzr + umulh x10, x21, x10 + adds x22, x16, x22 + umlal v4.2D, v24.2S, v20.2S + umull v30.2D, v27.2S, v16.2S + stp x3, x23, [x0, #48] + add x3, x7, x5 + adc x16, x1, xzr + usra v28.2D, v22.2D, #32 + mul x23, x20, x19 + eor x1, x17, x11 + cmn x11, #0x1 + mov x17, v18.d[1] + umull v18.2D, v17.2S, v19.2S + adcs x7, x4, x1 + eor x1, x10, x11 + umlal v25.2D, v17.2S, v20.2S + movi v16.2D, #0xffffffff + adcs x22, x22, x1 + usra v18.2D, v23.2D, #32 + umulh x4, x14, x14 + adc x1, x16, x11 + adds x10, x8, x8 + shl v23.2D, v2.2D, #32 + str x3, [x0, #64] + adcs x5, x7, x7 + and v16.16B, v28.16B, v16.16B + usra v30.2D, v28.2D, #32 + adcs x7, x22, x22 + mov x21, v3.d[1] + adcs x11, x1, x1 + umlal v16.2D, v27.2S, v7.2S + adc x22, xzr, xzr + adds x16, x15, x23 + mul x8, x14, x12 + umlal v23.2D, v5.2S, v7.2S + usra v18.2D, v25.2D, #32 + umulh x15, x14, x12 + adcs x21, x21, x24 + usra v30.2D, v16.2D, #32 + adc x1, x17, xzr + adds x3, x16, x23 + adcs x21, x21, x24 + adc x1, x1, xzr + adds x24, x10, x21 + umulh x21, x12, x12 + adcs x16, x5, x1 + adcs x10, x7, xzr + mov x17, v21.d[1] + adcs x23, x11, xzr + adc x5, x22, xzr + adds x1, x4, x8 + adcs x22, x17, x15 + ldp x17, x4, [x0] + mov x11, v21.d[0] + adc x21, x21, xzr + adds x1, x1, x8 + adcs x15, x22, x15 + adc x8, x21, xzr + adds x22, x11, x10 + mov x21, v3.d[0] + adcs x11, x1, x23 + ldp x1, x10, [x0, #16] + adcs x15, x15, x5 + adc x7, x8, xzr + adds x8, x17, x21 + mov x23, v4.d[1] + ldp x5, x21, [x0, #32] + adcs x17, x4, x3 + ldr x4, [x0, #64] + mov x3, v18.d[0] + adcs x24, x1, x24 + stp x8, x17, [x0] + adcs x17, x10, x16 + ldp x1, x16, [x0, #48] + adcs x5, x5, x22 + adcs x8, x21, x11 + stp x5, x8, [x0, #32] + adcs x1, x1, x15 + mov x15, v23.d[1] + adcs x21, x16, x7 + stp x1, x21, [x0, #48] + adc x10, x4, xzr + subs x7, x14, x12 + mov x16, v18.d[1] + cneg x5, x7, cc + csetm x4, cc + subs x11, x13, x6 + mov x8, v23.d[0] + cneg x7, x11, cc + cinv x21, x4, cc + mov x11, v30.d[0] + adds x4, x23, x3 + mul x22, x5, x7 + mov x23, v30.d[1] + adcs x8, x8, x16 + adcs x16, x15, x11 + adc x11, x23, xzr + umulh x3, x5, x7 + stp x24, x17, [x0, #16] + mov x5, v4.d[0] + subs x15, x20, x19 + cneg x7, x15, cc + str x10, [x0, #64] + csetm x1, cc + subs x24, x2, x9 + cneg x17, x24, cc + cinv x15, x1, cc + adds x23, x4, x5 + umulh x1, x7, x17 + adcs x24, x8, x4 + adcs x10, x16, x8 + eor x8, x22, x21 + adcs x16, x11, x16 + mul x22, x7, x17 + eor x17, x1, x15 + adc x1, xzr, x11 + adds x11, x24, x5 + eor x7, x3, x21 + adcs x3, x10, x23 + adcs x24, x16, x24 + adcs x4, x1, x10 + eor x10, x22, x15 + adcs x16, xzr, x16 + adc x1, xzr, x1 + cmn x21, #0x1 + adcs x8, x4, x8 + adcs x22, x16, x7 + adc x7, x1, x21 + subs x21, x19, x12 + csetm x4, cc + cneg x1, x21, cc + subs x21, x13, x2 + cinv x16, x4, cc + cneg x4, x21, cc + cmn x15, #0x1 + adcs x21, x23, x10 + mul x23, x1, x4 + adcs x11, x11, x17 + adcs x3, x3, x15 + umulh x1, x1, x4 + adcs x24, x24, x15 + adcs x8, x8, x15 + adcs x22, x22, x15 + eor x17, x23, x16 + adc x15, x7, x15 + subs x7, x20, x14 + cneg x7, x7, cc + csetm x4, cc + subs x10, x20, x12 + cneg x23, x10, cc + csetm x10, cc + subs x12, x6, x9 + cinv x20, x4, cc + cneg x12, x12, cc + cmn x16, #0x1 + eor x1, x1, x16 + adcs x17, x24, x17 + mul x4, x7, x12 + adcs x8, x8, x1 + umulh x1, x7, x12 + adcs x24, x22, x16 + adc x7, x15, x16 + subs x12, x13, x9 + cneg x12, x12, cc + cinv x13, x10, cc + subs x19, x19, x14 + mul x9, x23, x12 + cneg x19, x19, cc + csetm x10, cc + eor x16, x1, x20 + subs x22, x6, x2 + umulh x12, x23, x12 + eor x1, x4, x20 + cinv x4, x10, cc + cneg x22, x22, cc + cmn x20, #0x1 + adcs x15, x11, x1 + eor x6, x12, x13 + adcs x10, x3, x16 + adcs x17, x17, x20 + eor x23, x9, x13 + adcs x2, x8, x20 + mul x11, x19, x22 + adcs x24, x24, x20 + adc x7, x7, x20 + cmn x13, #0x1 + adcs x3, x10, x23 + umulh x22, x19, x22 + adcs x17, x17, x6 + eor x12, x22, x4 + extr x22, x15, x21, #63 + adcs x8, x2, x13 + extr x21, x21, x5, #63 + ldp x16, x23, [x0] + adcs x20, x24, x13 + eor x1, x11, x4 + adc x6, x7, x13 + cmn x4, #0x1 + ldp x2, x7, [x0, #16] + adcs x1, x3, x1 + extr x19, x1, x15, #63 + adcs x14, x17, x12 + extr x1, x14, x1, #63 + lsl x17, x5, #1 + adcs x8, x8, x4 + extr x12, x8, x14, #8 + ldp x15, x11, [x0, #32] + adcs x9, x20, x4 + adc x3, x6, x4 + adds x16, x12, x16 + extr x6, x9, x8, #8 + ldp x14, x12, [x0, #48] + extr x8, x3, x9, #8 + adcs x20, x6, x23 + ldr x24, [x0, #64] + lsr x6, x3, #8 + adcs x8, x8, x2 + and x2, x1, #0x1ff + and x1, x20, x8 + adcs x4, x6, x7 + adcs x3, x17, x15 + and x1, x1, x4 + adcs x9, x21, x11 + and x1, x1, x3 + adcs x6, x22, x14 + and x1, x1, x9 + and x21, x1, x6 + adcs x14, x19, x12 + adc x1, x24, x2 + cmp xzr, xzr + orr x12, x1, #0xfffffffffffffe00 + lsr x1, x1, #9 + adcs xzr, x16, x1 + and x21, x21, x14 + adcs xzr, x21, xzr + adcs xzr, x12, xzr + adcs x21, x16, x1 + adcs x1, x20, xzr + adcs x19, x8, xzr + stp x21, x1, [x0] + adcs x1, x4, xzr + adcs x21, x3, xzr + stp x19, x1, [x0, #16] + adcs x1, x9, xzr + stp x21, x1, [x0, #32] + adcs x21, x6, xzr + adcs x1, x14, xzr + stp x21, x1, [x0, #48] + adc x1, x12, xzr + and x1, x1, #0x1ff + str x1, [x0, #64] + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_sqr_p521) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_sub_p521) + +Lp521_jscalarmul_sub_p521: + CFI_START + ldp x5, x6, [x1] + ldp x4, x3, [x2] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [x1, #16] + ldp x4, x3, [x2, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [x1, #32] + ldp x4, x3, [x2, #32] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + ldp x11, x12, [x1, #48] + ldp x4, x3, [x2, #48] + sbcs x11, x11, x4 + sbcs x12, x12, x3 + ldr x13, [x1, #64] + ldr x4, [x2, #64] + sbcs x13, x13, x4 + sbcs x5, x5, xzr + sbcs x6, x6, xzr + sbcs x7, x7, xzr + sbcs x8, x8, xzr + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbcs x13, x13, xzr + and x13, x13, #0x1ff + stp x5, x6, [x0] + stp x7, x8, [x0, #16] + stp x9, x10, [x0, #32] + stp x11, x12, [x0, #48] + str x13, [x0, #64] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_sub_p521) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/arm/p521_jscalarmul_alt.S b/cbits/s2n/arm/p521_jscalarmul_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/arm/p521_jscalarmul_alt.S @@ -0,0 +1,2143 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Jacobian form scalar multiplication for P-521 +// Input scalar[9], point[27]; output res[27] +// +// extern void p521_jscalarmul_alt +// (uint64_t res[static 27], +// const uint64_t scalar[static 9], +// const uint64_t point[static 27]); +// +// This function is a variant of its affine point version p521_scalarmul. +// Here, input and output points are assumed to be in Jacobian form with +// a triple (x,y,z) representing the affine point (x/z^2,y/z^3) when +// z is nonzero or the point at infinity (group identity) if z = 0. +// +// Given scalar = n and point = P, assumed to be on the NIST elliptic +// curve P-521, returns a representation of n * P. If the result is the +// point at infinity (either because the input point was or because the +// scalar was a multiple of p_521) then the output is guaranteed to +// represent the point at infinity, i.e. to have its z coordinate zero. +// +// Standard ARM ABI: X0 = res, X1 = scalar, X2 = point +// ---------------------------------------------------------------------------- + + +#include "_internal_s2n_bignum_arm.h" + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p521_jscalarmul_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p521_jscalarmul_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p521_jscalarmul_alt) + + + .text + .balign 4 + +// Size of individual field elements + +#define NUMSIZE 72 +#define JACSIZE (3*NUMSIZE) + +// Safe copies of input res and additional values in variables. + +#define tabup x15 +#define bf x16 +#define sgn x17 +#define j x19 +#define res x20 + +// Intermediate variables on the stack. +// The table is 16 entries, each of size JACSIZE = 3 * NUMSIZE + +#define scalarb sp, #(0*NUMSIZE) +#define acc sp, #(1*NUMSIZE) +#define tabent sp, #(4*NUMSIZE) + +#define tab sp, #(7*NUMSIZE) + +// Round up to maintain stack alignment + +#define NSPACE 3968 + +#define selectblock(I) \ + cmp bf, #(1*I) __LF \ + ldp x10, x11, [tabup] __LF \ + csel x0, x10, x0, eq __LF \ + csel x1, x11, x1, eq __LF \ + ldp x10, x11, [tabup, #16] __LF \ + csel x2, x10, x2, eq __LF \ + csel x3, x11, x3, eq __LF \ + ldp x10, x11, [tabup, #32] __LF \ + csel x4, x10, x4, eq __LF \ + csel x5, x11, x5, eq __LF \ + ldp x10, x11, [tabup, #48] __LF \ + csel x6, x10, x6, eq __LF \ + csel x7, x11, x7, eq __LF \ + ldr x10, [tabup, #64] __LF \ + csel x8, x10, x8, eq __LF \ + add tabup, tabup, #JACSIZE + +// Loading large constants + +#define movbig(nn,n3,n2,n1,n0) \ + movz nn, n0 __LF \ + movk nn, n1, lsl #16 __LF \ + movk nn, n2, lsl #32 __LF \ + movk nn, n3, lsl #48 + +S2N_BN_SYMBOL(p521_jscalarmul_alt): + CFI_START + + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x30) + CFI_DEC_SP(NSPACE) + +// Preserve the "res" input argument; others get processed early. + + mov res, x0 + +// Reduce the input scalar mod n_521 and store it to "scalarb". + + mov x19, x2 + add x0, scalarb + CFI_BL(Lp521_jscalarmul_alt_bignum_mod_n521_9) + mov x2, x19 + +// Set the tab[0] table entry to the input point = 1 * P, but also +// reduce all coordinates modulo p. In principle we assume reduction +// as a precondition, but this reduces the scope for surprise, e.g. +// making sure that any input with z = 0 is treated as zero, even +// if the other coordinates are not in fact reduced. + + add x0, tab + mov x1, x19 + CFI_BL(Lp521_jscalarmul_alt_bignum_mod_p521_9) + + add x0, tab+NUMSIZE + add x1, x19, #NUMSIZE + CFI_BL(Lp521_jscalarmul_alt_bignum_mod_p521_9) + + add x0, tab+2*NUMSIZE + add x1, x19, #(2*NUMSIZE) + CFI_BL(Lp521_jscalarmul_alt_bignum_mod_p521_9) + +// If bit 520 of the scalar is set, then negate the scalar mod n_521, +// i.e. do scalar |-> n_521 - scalar, and also the point to compensate +// by negating its y coordinate. This further step is not needed by +// the indexing scheme (the top window is only a couple of bits either +// way), but is convenient to exclude a problem with the specific value +// scalar = n_521 - 18, where the last Jacobian addition is of the form +// (n_521 - 9) * P + -(9 * P) and hence is a degenerate doubling case. + + ldp x0, x1, [scalarb] + movbig(x10, #0xbb6f, #0xb71e, #0x9138, #0x6409) + subs x10, x10, x0 + movbig(x11, #0x3bb5, #0xc9b8, #0x899c, #0x47ae) + sbcs x11, x11, x1 + ldp x2, x3, [scalarb+16] + movbig(x12, #0x7fcc, #0x0148, #0xf709, #0xa5d0) + sbcs x12, x12, x2 + movbig(x13, #0x5186, #0x8783, #0xbf2f, #0x966b) + sbcs x13, x13, x3 + ldp x4, x5, [scalarb+32] + mov x14, 0xfffffffffffffffa + sbcs x14, x14, x4 + mov x15, 0xffffffffffffffff + sbcs x15, x15, x5 + ldp x6, x7, [scalarb+48] + mov x16, 0xffffffffffffffff + sbcs x16, x16, x6 + mov x17, 0xffffffffffffffff + sbcs x17, x17, x7 + ldr x8, [scalarb+64] + mov x19, 0x00000000000001ff + sbc x19, x19, x8 + tst x8, 0x100 + csetm x9, ne + csel x0, x10, x0, ne + csel x1, x11, x1, ne + csel x2, x12, x2, ne + csel x3, x13, x3, ne + csel x4, x14, x4, ne + csel x5, x15, x5, ne + csel x6, x16, x6, ne + csel x7, x17, x7, ne + csel x8, x19, x8, ne + stp x0, x1, [scalarb] + stp x2, x3, [scalarb+16] + stp x4, x5, [scalarb+32] + stp x6, x7, [scalarb+48] + str x8, [scalarb+64] + + add tabup, tab + ldp x0, x1, [tabup, #NUMSIZE] + ldp x2, x3, [tabup, #NUMSIZE+16] + ldp x4, x5, [tabup, #NUMSIZE+32] + ldp x6, x7, [tabup, #NUMSIZE+48] + ldr x8, [tabup, #NUMSIZE+64] + orr x10, x0, x1 + orr x11, x2, x3 + orr x12, x4, x5 + orr x13, x6, x7 + orr x10, x10, x11 + orr x12, x12, x13 + orr x12, x12, x8 + orr x10, x10, x12 + cmp x10, xzr + csel x9, x9, xzr, ne + eor x0, x0, x9 + eor x1, x1, x9 + eor x2, x2, x9 + eor x3, x3, x9 + eor x4, x4, x9 + eor x5, x5, x9 + eor x6, x6, x9 + eor x7, x7, x9 + and x9, x9, #0x1FF + eor x8, x8, x9 + stp x0, x1, [tabup, #NUMSIZE] + stp x2, x3, [tabup, #NUMSIZE+16] + stp x4, x5, [tabup, #NUMSIZE+32] + stp x6, x7, [tabup, #NUMSIZE+48] + str x8, [tabup, #NUMSIZE+64] + +// Compute and record tab[1] = 2 * p, ..., tab[15] = 16 * P + + add x0, tab+JACSIZE*1 + add x1, tab + CFI_BL(Lp521_jscalarmul_alt_jdouble) + + add x0, tab+JACSIZE*2 + add x1, tab+JACSIZE*1 + add x2, tab + CFI_BL(Lp521_jscalarmul_alt_jadd) + + add x0, tab+JACSIZE*3 + add x1, tab+JACSIZE*1 + CFI_BL(Lp521_jscalarmul_alt_jdouble) + + add x0, tab+JACSIZE*4 + add x1, tab+JACSIZE*3 + add x2, tab + CFI_BL(Lp521_jscalarmul_alt_jadd) + + add x0, tab+JACSIZE*5 + add x1, tab+JACSIZE*2 + CFI_BL(Lp521_jscalarmul_alt_jdouble) + + add x0, tab+JACSIZE*6 + add x1, tab+JACSIZE*5 + add x2, tab + CFI_BL(Lp521_jscalarmul_alt_jadd) + + add x0, tab+JACSIZE*7 + add x1, tab+JACSIZE*3 + CFI_BL(Lp521_jscalarmul_alt_jdouble) + + add x0, tab+JACSIZE*8 + add x1, tab+JACSIZE*7 + add x2, tab + CFI_BL(Lp521_jscalarmul_alt_jadd) + + add x0, tab+JACSIZE*9 + add x1, tab+JACSIZE*4 + CFI_BL(Lp521_jscalarmul_alt_jdouble) + + add x0, tab+JACSIZE*10 + add x1, tab+JACSIZE*9 + add x2, tab + CFI_BL(Lp521_jscalarmul_alt_jadd) + + add x0, tab+JACSIZE*11 + add x1, tab+JACSIZE*5 + CFI_BL(Lp521_jscalarmul_alt_jdouble) + + add x0, tab+JACSIZE*12 + add x1, tab+JACSIZE*11 + add x2, tab + CFI_BL(Lp521_jscalarmul_alt_jadd) + + add x0, tab+JACSIZE*13 + add x1, tab+JACSIZE*6 + CFI_BL(Lp521_jscalarmul_alt_jdouble) + + add x0, tab+JACSIZE*14 + add x1, tab+JACSIZE*13 + add x2, tab + CFI_BL(Lp521_jscalarmul_alt_jadd) + + add x0, tab+JACSIZE*15 + add x1, tab+JACSIZE*7 + CFI_BL(Lp521_jscalarmul_alt_jdouble) + +// Add the recoding constant sum_i(16 * 32^i) to the scalar to allow signed +// digits. The digits of the constant, in lowest-to-highest order, are as +// follows; they are generated dynamically since none is a simple ARM load. +// +// 0x0842108421084210 +// 0x1084210842108421 +// 0x2108421084210842 +// 0x4210842108421084 +// 0x8421084210842108 +// 0x0842108421084210 +// 0x1084210842108421 +// 0x2108421084210842 +// 0x0000000000000084 + + ldp x0, x1, [scalarb] + ldp x2, x3, [scalarb+16] + ldp x4, x5, [scalarb+32] + ldp x6, x7, [scalarb+48] + ldr x8, [scalarb+64] + + movbig(x10, #0x1084, #0x2108, #0x4210, #0x8421) + adds x0, x0, x10, lsr #1 + adcs x1, x1, x10 + lsl x10, x10, #1 + adcs x2, x2, x10 + lsl x10, x10, #1 + adcs x3, x3, x10 + lsl x10, x10, #1 + adcs x4, x4, x10 + lsr x11, x10, #4 + adcs x5, x5, x11 + lsr x10, x10, #3 + adcs x6, x6, x10 + lsl x10, x10, #1 + adcs x7, x7, x10 + lsl x10, x10, #1 + and x10, x10, #0xFF + adc x8, x8, x10 + +// Because of the initial reduction the top bitfield (>= bits 520) is <= 1, +// i.e. just a single bit. Record that in "bf", then shift the whole +// scalar left 56 bits to align the top of the next bitfield with the MSB +// (bits 571..575). + + lsr bf, x8, #8 + extr x8, x8, x7, #8 + extr x7, x7, x6, #8 + extr x6, x6, x5, #8 + extr x5, x5, x4, #8 + extr x4, x4, x3, #8 + extr x3, x3, x2, #8 + extr x2, x2, x1, #8 + extr x1, x1, x0, #8 + lsl x0, x0, #56 + stp x0, x1, [scalarb] + stp x2, x3, [scalarb+16] + stp x4, x5, [scalarb+32] + stp x6, x7, [scalarb+48] + str x8, [scalarb+64] + +// According to the top bit, initialize the accumulator to P or 0. This top +// digit, uniquely, is not recoded so there is no sign adjustment to make. +// We only really need to adjust the z coordinate to zero, but do all three. + + add tabup, tab + cmp bf, xzr + + ldp x0, x1, [tabup] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc] + ldp x0, x1, [tabup, #16] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+16] + ldp x0, x1, [tabup, #32] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+32] + ldp x0, x1, [tabup, #48] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+48] + ldp x0, x1, [tabup, #64] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+64] + ldp x0, x1, [tabup, #80] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+80] + ldp x0, x1, [tabup, #96] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+96] + ldp x0, x1, [tabup, #112] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+112] + ldp x0, x1, [tabup, #128] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+128] + ldp x0, x1, [tabup, #144] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+144] + ldp x0, x1, [tabup, #160] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+160] + ldp x0, x1, [tabup, #176] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+176] + ldp x0, x1, [tabup, #192] + csel x0, x0, xzr, ne + csel x1, x1, xzr, ne + stp x0, x1, [acc+192] + ldr x0, [tabup, #208] + csel x0, x0, xzr, ne + str x0, [acc+208] + +// Main loop over size-5 bitfields: double 5 times then add signed digit +// At each stage we shift the scalar left by 5 bits so we can simply pick +// the top 5 bits as the bitfield, saving some fiddle over indexing. + + mov j, #520 + +Lp521_jscalarmul_alt_mainloop: + sub j, j, #5 + + add x0, acc + add x1, acc + CFI_BL(Lp521_jscalarmul_alt_jdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp521_jscalarmul_alt_jdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp521_jscalarmul_alt_jdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp521_jscalarmul_alt_jdouble) + + add x0, acc + add x1, acc + CFI_BL(Lp521_jscalarmul_alt_jdouble) + +// Choose the bitfield and adjust it to sign and magnitude + + ldp x0, x1, [scalarb] + ldp x2, x3, [scalarb+16] + ldp x4, x5, [scalarb+32] + ldp x6, x7, [scalarb+48] + ldr x8, [scalarb+64] + lsr bf, x8, #59 + extr x8, x8, x7, #59 + extr x7, x7, x6, #59 + extr x6, x6, x5, #59 + extr x5, x5, x4, #59 + extr x4, x4, x3, #59 + extr x3, x3, x2, #59 + extr x2, x2, x1, #59 + extr x1, x1, x0, #59 + lsl x0, x0, #5 + stp x0, x1, [scalarb] + stp x2, x3, [scalarb+16] + stp x4, x5, [scalarb+32] + stp x6, x7, [scalarb+48] + str x8, [scalarb+64] + + subs bf, bf, #16 + csetm sgn, lo // sgn = sign of digit (1 = negative) + cneg bf, bf, lo // bf = absolute value of digit + +// Conditionally select the table entry tab[i-1] = i * P in constant time + + mov x0, xzr + mov x1, xzr + mov x2, xzr + mov x3, xzr + mov x4, xzr + mov x5, xzr + mov x6, xzr + mov x7, xzr + mov x8, xzr + add tabup, tab + selectblock(1) + selectblock(2) + selectblock(3) + selectblock(4) + selectblock(5) + selectblock(6) + selectblock(7) + selectblock(8) + selectblock(9) + selectblock(10) + selectblock(11) + selectblock(12) + selectblock(13) + selectblock(14) + selectblock(15) + selectblock(16) + stp x0, x1, [tabent] + stp x2, x3, [tabent+16] + stp x4, x5, [tabent+32] + stp x6, x7, [tabent+48] + str x8, [tabent+64] + + mov x0, xzr + mov x1, xzr + mov x2, xzr + mov x3, xzr + mov x4, xzr + mov x5, xzr + mov x6, xzr + mov x7, xzr + mov x8, xzr + add tabup, tab+2*NUMSIZE + selectblock(1) + selectblock(2) + selectblock(3) + selectblock(4) + selectblock(5) + selectblock(6) + selectblock(7) + selectblock(8) + selectblock(9) + selectblock(10) + selectblock(11) + selectblock(12) + selectblock(13) + selectblock(14) + selectblock(15) + selectblock(16) + stp x0, x1, [tabent+2*NUMSIZE] + stp x2, x3, [tabent+2*NUMSIZE+16] + stp x4, x5, [tabent+2*NUMSIZE+32] + stp x6, x7, [tabent+2*NUMSIZE+48] + str x8, [tabent+2*NUMSIZE+64] + + mov x0, xzr + mov x1, xzr + mov x2, xzr + mov x3, xzr + mov x4, xzr + mov x5, xzr + mov x6, xzr + mov x7, xzr + mov x8, xzr + add tabup, tab+NUMSIZE + selectblock(1) + selectblock(2) + selectblock(3) + selectblock(4) + selectblock(5) + selectblock(6) + selectblock(7) + selectblock(8) + selectblock(9) + selectblock(10) + selectblock(11) + selectblock(12) + selectblock(13) + selectblock(14) + selectblock(15) + selectblock(16) + +// Store it to "tabent" with the y coordinate optionally negated. +// This is done carefully to give coordinates < p_521 even in +// the degenerate case y = 0 (when z = 0 for points on the curve). + + orr x10, x0, x1 + orr x11, x2, x3 + orr x12, x4, x5 + orr x13, x6, x7 + orr x10, x10, x11 + orr x12, x12, x13 + orr x12, x12, x8 + orr x10, x10, x12 + cmp x10, xzr + csel sgn, sgn, xzr, ne + + eor x0, x0, sgn + eor x1, x1, sgn + eor x2, x2, sgn + eor x3, x3, sgn + eor x4, x4, sgn + eor x5, x5, sgn + eor x6, x6, sgn + eor x7, x7, sgn + and sgn, sgn, #0x1FF + eor x8, x8, sgn + + stp x0, x1, [tabent+NUMSIZE] + stp x2, x3, [tabent+NUMSIZE+16] + stp x4, x5, [tabent+NUMSIZE+32] + stp x6, x7, [tabent+NUMSIZE+48] + str x8, [tabent+NUMSIZE+64] + +// Add to the accumulator + + add x0, acc + add x1, acc + add x2, tabent + CFI_BL(Lp521_jscalarmul_alt_jadd) + + cbnz j, Lp521_jscalarmul_alt_mainloop + +// That's the end of the main loop, and we just need to copy the +// result in "acc" to the output. + + ldp x0, x1, [acc] + stp x0, x1, [res] + ldp x0, x1, [acc+16] + stp x0, x1, [res, #16] + ldp x0, x1, [acc+32] + stp x0, x1, [res, #32] + ldp x0, x1, [acc+48] + stp x0, x1, [res, #48] + ldp x0, x1, [acc+64] + stp x0, x1, [res, #64] + ldp x0, x1, [acc+80] + stp x0, x1, [res, #80] + ldp x0, x1, [acc+96] + stp x0, x1, [res, #96] + ldp x0, x1, [acc+112] + stp x0, x1, [res, #112] + ldp x0, x1, [acc+128] + stp x0, x1, [res, #128] + ldp x0, x1, [acc+144] + stp x0, x1, [res, #144] + ldp x0, x1, [acc+160] + stp x0, x1, [res, #160] + ldp x0, x1, [acc+176] + stp x0, x1, [res, #176] + ldp x0, x1, [acc+192] + stp x0, x1, [res, #192] + ldr x0, [acc+208] + str x0, [res, #208] + +// Restore stack and registers and return + + CFI_INC_SP(NSPACE) + CFI_POP2(x21,x30) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p521_jscalarmul_alt) + +// Local copies of subroutines, complete clones at the moment except +// that we share multiplication and squaring between the point operations. + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_alt_bignum_mod_p521_9) + +Lp521_jscalarmul_alt_bignum_mod_p521_9: + CFI_START + ldr x12, [x1, #64] + lsr x2, x12, #9 + cmp xzr, xzr + ldp x4, x5, [x1] + adcs xzr, x4, x2 + adcs xzr, x5, xzr + ldp x6, x7, [x1, #16] + and x3, x6, x7 + adcs xzr, x3, xzr + ldp x8, x9, [x1, #32] + and x3, x8, x9 + adcs xzr, x3, xzr + ldp x10, x11, [x1, #48] + and x3, x10, x11 + adcs xzr, x3, xzr + orr x3, x12, #0xfffffffffffffe00 + adcs x3, x3, xzr + adcs x4, x4, x2 + adcs x5, x5, xzr + adcs x6, x6, xzr + adcs x7, x7, xzr + adcs x8, x8, xzr + adcs x9, x9, xzr + adcs x10, x10, xzr + adcs x11, x11, xzr + adc x12, x12, xzr + and x12, x12, #0x1ff + stp x4, x5, [x0] + stp x6, x7, [x0, #16] + stp x8, x9, [x0, #32] + stp x10, x11, [x0, #48] + str x12, [x0, #64] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_alt_bignum_mod_p521_9) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_alt_bignum_mod_n521_9) + +Lp521_jscalarmul_alt_bignum_mod_n521_9: + CFI_START + ldr x14, [x1, #64] + lsr x15, x14, #9 + add x15, x15, #1 + mov x2, #39927 + movk x2, #28359, lsl #16 + movk x2, #18657, lsl #32 + movk x2, #17552, lsl #48 + mul x6, x2, x15 + mov x3, #47185 + movk x3, #30307, lsl #16 + movk x3, #13895, lsl #32 + movk x3, #50250, lsl #48 + mul x7, x3, x15 + mov x4, #23087 + movk x4, #2294, lsl #16 + movk x4, #65207, lsl #32 + movk x4, #32819, lsl #48 + mul x8, x4, x15 + mov x5, #27028 + movk x5, #16592, lsl #16 + movk x5, #30844, lsl #32 + movk x5, #44665, lsl #48 + mul x9, x5, x15 + lsl x10, x15, #2 + add x10, x10, x15 + umulh x13, x2, x15 + adds x7, x7, x13 + umulh x13, x3, x15 + adcs x8, x8, x13 + umulh x13, x4, x15 + adcs x9, x9, x13 + umulh x13, x5, x15 + adc x10, x10, x13 + ldp x12, x13, [x1] + adds x6, x6, x12 + adcs x7, x7, x13 + ldp x12, x13, [x1, #16] + adcs x8, x8, x12 + adcs x9, x9, x13 + ldp x13, x11, [x1, #32] + adcs x10, x10, x13 + adcs x11, x11, xzr + ldp x12, x13, [x1, #48] + adcs x12, x12, xzr + adcs x13, x13, xzr + orr x14, x14, #0xfffffffffffffe00 + adcs x14, x14, xzr + csetm x15, lo + and x2, x2, x15 + subs x6, x6, x2 + and x3, x3, x15 + sbcs x7, x7, x3 + and x4, x4, x15 + sbcs x8, x8, x4 + and x5, x5, x15 + sbcs x9, x9, x5 + mov x2, #5 + and x2, x2, x15 + sbcs x10, x10, x2 + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbc x14, x14, xzr + and x14, x14, #0x1ff + stp x6, x7, [x0] + stp x8, x9, [x0, #16] + stp x10, x11, [x0, #32] + stp x12, x13, [x0, #48] + str x14, [x0, #64] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_alt_bignum_mod_n521_9) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_alt_jadd) + +Lp521_jscalarmul_alt_jadd: + CFI_START + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_PUSH2(x25,x26) + CFI_PUSH2(x27,x28) + CFI_PUSH2(x29,x30) + CFI_DEC_SP(576) + mov x27, x0 + mov x28, x1 + mov x29, x2 + mov x0, sp + add x1, x28, #0x90 + CFI_BL(Lp521_jscalarmul_alt_sqr_p521) + add x0, sp, #0x168 + add x1, x29, #0x90 + CFI_BL(Lp521_jscalarmul_alt_sqr_p521) + add x0, sp, #0x1f8 + add x1, x29, #0x90 + add x2, x28, #0x48 + CFI_BL(Lp521_jscalarmul_alt_mul_p521) + add x0, sp, #0x48 + add x1, x28, #0x90 + add x2, x29, #0x48 + CFI_BL(Lp521_jscalarmul_alt_mul_p521) + add x0, sp, #0x90 + mov x1, sp + add x2, x29, #0x0 + CFI_BL(Lp521_jscalarmul_alt_mul_p521) + add x0, sp, #0x120 + add x1, sp, #0x168 + add x2, x28, #0x0 + CFI_BL(Lp521_jscalarmul_alt_mul_p521) + add x0, sp, #0x48 + mov x1, sp + add x2, sp, #0x48 + CFI_BL(Lp521_jscalarmul_alt_mul_p521) + add x0, sp, #0x1f8 + add x1, sp, #0x168 + add x2, sp, #0x1f8 + CFI_BL(Lp521_jscalarmul_alt_mul_p521) + add x0, sp, #0x168 + add x1, sp, #0x90 + add x2, sp, #0x120 + CFI_BL(Lp521_jscalarmul_alt_sub_p521) + add x0, sp, #0x48 + add x1, sp, #0x48 + add x2, sp, #0x1f8 + CFI_BL(Lp521_jscalarmul_alt_sub_p521) + add x0, sp, #0xd8 + add x1, sp, #0x168 + CFI_BL(Lp521_jscalarmul_alt_sqr_p521) + mov x0, sp + add x1, sp, #0x48 + CFI_BL(Lp521_jscalarmul_alt_sqr_p521) + add x0, sp, #0x120 + add x1, sp, #0xd8 + add x2, sp, #0x120 + CFI_BL(Lp521_jscalarmul_alt_mul_p521) + add x0, sp, #0x90 + add x1, sp, #0xd8 + add x2, sp, #0x90 + CFI_BL(Lp521_jscalarmul_alt_mul_p521) + mov x0, sp + mov x1, sp + add x2, sp, #0x120 + CFI_BL(Lp521_jscalarmul_alt_sub_p521) + add x0, sp, #0xd8 + add x1, sp, #0x90 + add x2, sp, #0x120 + CFI_BL(Lp521_jscalarmul_alt_sub_p521) + add x0, sp, #0x168 + add x1, sp, #0x168 + add x2, x28, #0x90 + CFI_BL(Lp521_jscalarmul_alt_mul_p521) + mov x0, sp + mov x1, sp + add x2, sp, #0x90 + CFI_BL(Lp521_jscalarmul_alt_sub_p521) + add x0, sp, #0x120 + add x1, sp, #0x120 + mov x2, sp + CFI_BL(Lp521_jscalarmul_alt_sub_p521) + add x0, sp, #0xd8 + add x1, sp, #0xd8 + add x2, sp, #0x1f8 + CFI_BL(Lp521_jscalarmul_alt_mul_p521) + add x0, sp, #0x168 + add x1, sp, #0x168 + add x2, x29, #0x90 + CFI_BL(Lp521_jscalarmul_alt_mul_p521) + add x0, sp, #0x120 + add x1, sp, #0x48 + add x2, sp, #0x120 + CFI_BL(Lp521_jscalarmul_alt_mul_p521) + add x0, sp, #0x120 + add x1, sp, #0x120 + add x2, sp, #0xd8 + CFI_BL(Lp521_jscalarmul_alt_sub_p521) + ldp x0, x1, [x28, #144] + ldp x2, x3, [x28, #160] + ldp x4, x5, [x28, #176] + ldp x6, x7, [x28, #192] + ldr x8, [x28, #208] + orr x20, x0, x1 + orr x21, x2, x3 + orr x22, x4, x5 + orr x23, x6, x7 + orr x20, x20, x21 + orr x22, x22, x23 + orr x20, x20, x8 + orr x20, x20, x22 + cmp x20, xzr + cset x20, ne + ldp x10, x11, [x29, #144] + ldp x12, x13, [x29, #160] + ldp x14, x15, [x29, #176] + ldp x16, x17, [x29, #192] + ldr x19, [x29, #208] + orr x21, x10, x11 + orr x22, x12, x13 + orr x23, x14, x15 + orr x24, x16, x17 + orr x21, x21, x22 + orr x23, x23, x24 + orr x21, x21, x19 + orr x21, x21, x23 + csel x0, x0, x10, ne + csel x1, x1, x11, ne + csel x2, x2, x12, ne + csel x3, x3, x13, ne + csel x4, x4, x14, ne + csel x5, x5, x15, ne + csel x6, x6, x16, ne + csel x7, x7, x17, ne + csel x8, x8, x19, ne + cmp x21, xzr + cset x21, ne + cmp x21, x20 + ldp x10, x11, [sp, #360] + ldp x12, x13, [sp, #376] + ldp x14, x15, [sp, #392] + ldp x16, x17, [sp, #408] + ldr x19, [sp, #424] + csel x0, x0, x10, ne + csel x1, x1, x11, ne + csel x2, x2, x12, ne + csel x3, x3, x13, ne + csel x4, x4, x14, ne + csel x5, x5, x15, ne + csel x6, x6, x16, ne + csel x7, x7, x17, ne + csel x8, x8, x19, ne + stp x0, x1, [sp, #360] + stp x2, x3, [sp, #376] + stp x4, x5, [sp, #392] + stp x6, x7, [sp, #408] + str x8, [sp, #424] + ldp x20, x21, [x28] + ldp x0, x1, [sp] + csel x0, x20, x0, cc + csel x1, x21, x1, cc + ldp x20, x21, [x29] + csel x0, x20, x0, hi + csel x1, x21, x1, hi + ldp x20, x21, [x28, #16] + ldp x2, x3, [sp, #16] + csel x2, x20, x2, cc + csel x3, x21, x3, cc + ldp x20, x21, [x29, #16] + csel x2, x20, x2, hi + csel x3, x21, x3, hi + ldp x20, x21, [x28, #32] + ldp x4, x5, [sp, #32] + csel x4, x20, x4, cc + csel x5, x21, x5, cc + ldp x20, x21, [x29, #32] + csel x4, x20, x4, hi + csel x5, x21, x5, hi + ldp x20, x21, [x28, #48] + ldp x6, x7, [sp, #48] + csel x6, x20, x6, cc + csel x7, x21, x7, cc + ldp x20, x21, [x29, #48] + csel x6, x20, x6, hi + csel x7, x21, x7, hi + ldr x20, [x28, #64] + ldr x8, [sp, #64] + csel x8, x20, x8, cc + ldr x21, [x29, #64] + csel x8, x21, x8, hi + ldp x20, x21, [x28, #72] + ldp x10, x11, [sp, #288] + csel x10, x20, x10, cc + csel x11, x21, x11, cc + ldp x20, x21, [x29, #72] + csel x10, x20, x10, hi + csel x11, x21, x11, hi + ldp x20, x21, [x28, #88] + ldp x12, x13, [sp, #304] + csel x12, x20, x12, cc + csel x13, x21, x13, cc + ldp x20, x21, [x29, #88] + csel x12, x20, x12, hi + csel x13, x21, x13, hi + ldp x20, x21, [x28, #104] + ldp x14, x15, [sp, #320] + csel x14, x20, x14, cc + csel x15, x21, x15, cc + ldp x20, x21, [x29, #104] + csel x14, x20, x14, hi + csel x15, x21, x15, hi + ldp x20, x21, [x28, #120] + ldp x16, x17, [sp, #336] + csel x16, x20, x16, cc + csel x17, x21, x17, cc + ldp x20, x21, [x29, #120] + csel x16, x20, x16, hi + csel x17, x21, x17, hi + ldr x20, [x28, #136] + ldr x19, [sp, #352] + csel x19, x20, x19, cc + ldr x21, [x29, #136] + csel x19, x21, x19, hi + stp x0, x1, [x27] + stp x2, x3, [x27, #16] + stp x4, x5, [x27, #32] + stp x6, x7, [x27, #48] + str x8, [x27, #64] + ldp x0, x1, [sp, #360] + ldp x2, x3, [sp, #376] + ldp x4, x5, [sp, #392] + ldp x6, x7, [sp, #408] + ldr x8, [sp, #424] + stp x10, x11, [x27, #72] + stp x12, x13, [x27, #88] + stp x14, x15, [x27, #104] + stp x16, x17, [x27, #120] + str x19, [x27, #136] + stp x0, x1, [x27, #144] + stp x2, x3, [x27, #160] + stp x4, x5, [x27, #176] + stp x6, x7, [x27, #192] + str x8, [x27, #208] + CFI_INC_SP(576) + CFI_POP2(x29,x30) + CFI_POP2(x27,x28) + CFI_POP2(x25,x26) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_alt_jadd) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_alt_jdouble) + +Lp521_jscalarmul_alt_jdouble: + CFI_START + CFI_PUSH2(x19,x20) + CFI_PUSH2(x21,x22) + CFI_PUSH2(x23,x24) + CFI_PUSH2(x25,x26) + CFI_PUSH2(x27,x28) + CFI_PUSH2(x29,x30) + CFI_DEC_SP(512) + mov x27, x0 + mov x28, x1 + mov x0, sp + add x1, x28, #0x90 + CFI_BL(Lp521_jscalarmul_alt_sqr_p521) + add x0, sp, #0x48 + add x1, x28, #0x48 + CFI_BL(Lp521_jscalarmul_alt_sqr_p521) + ldp x5, x6, [x28] + ldp x4, x3, [sp] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [x28, #16] + ldp x4, x3, [sp, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [x28, #32] + ldp x4, x3, [sp, #32] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + ldp x11, x12, [x28, #48] + ldp x4, x3, [sp, #48] + sbcs x11, x11, x4 + sbcs x12, x12, x3 + ldr x13, [x28, #64] + ldr x4, [sp, #64] + sbcs x13, x13, x4 + sbcs x5, x5, xzr + sbcs x6, x6, xzr + sbcs x7, x7, xzr + sbcs x8, x8, xzr + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbcs x13, x13, xzr + and x13, x13, #0x1ff + stp x5, x6, [sp, #216] + stp x7, x8, [sp, #232] + stp x9, x10, [sp, #248] + stp x11, x12, [sp, #264] + str x13, [sp, #280] + cmp xzr, xzr + ldp x5, x6, [x28] + ldp x4, x3, [sp] + adcs x5, x5, x4 + adcs x6, x6, x3 + ldp x7, x8, [x28, #16] + ldp x4, x3, [sp, #16] + adcs x7, x7, x4 + adcs x8, x8, x3 + ldp x9, x10, [x28, #32] + ldp x4, x3, [sp, #32] + adcs x9, x9, x4 + adcs x10, x10, x3 + ldp x11, x12, [x28, #48] + ldp x4, x3, [sp, #48] + adcs x11, x11, x4 + adcs x12, x12, x3 + ldr x13, [x28, #64] + ldr x4, [sp, #64] + adc x13, x13, x4 + subs x4, x13, #0x200 + csetm x4, cs + sbcs x5, x5, xzr + and x4, x4, #0x200 + sbcs x6, x6, xzr + sbcs x7, x7, xzr + sbcs x8, x8, xzr + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbc x13, x13, x4 + stp x5, x6, [sp, #144] + stp x7, x8, [sp, #160] + stp x9, x10, [sp, #176] + stp x11, x12, [sp, #192] + str x13, [sp, #208] + add x0, sp, #0xd8 + add x1, sp, #0x90 + add x2, sp, #0xd8 + CFI_BL(Lp521_jscalarmul_alt_mul_p521) + cmp xzr, xzr + ldp x5, x6, [x28, #72] + ldp x4, x3, [x28, #144] + adcs x5, x5, x4 + adcs x6, x6, x3 + ldp x7, x8, [x28, #88] + ldp x4, x3, [x28, #160] + adcs x7, x7, x4 + adcs x8, x8, x3 + ldp x9, x10, [x28, #104] + ldp x4, x3, [x28, #176] + adcs x9, x9, x4 + adcs x10, x10, x3 + ldp x11, x12, [x28, #120] + ldp x4, x3, [x28, #192] + adcs x11, x11, x4 + adcs x12, x12, x3 + ldr x13, [x28, #136] + ldr x4, [x28, #208] + adc x13, x13, x4 + subs x4, x13, #0x200 + csetm x4, cs + sbcs x5, x5, xzr + and x4, x4, #0x200 + sbcs x6, x6, xzr + sbcs x7, x7, xzr + sbcs x8, x8, xzr + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbc x13, x13, x4 + stp x5, x6, [sp, #144] + stp x7, x8, [sp, #160] + stp x9, x10, [sp, #176] + stp x11, x12, [sp, #192] + str x13, [sp, #208] + add x0, sp, #0x120 + add x1, x28, #0x0 + add x2, sp, #0x48 + CFI_BL(Lp521_jscalarmul_alt_mul_p521) + add x0, sp, #0x168 + add x1, sp, #0xd8 + CFI_BL(Lp521_jscalarmul_alt_sqr_p521) + add x0, sp, #0x90 + add x1, sp, #0x90 + CFI_BL(Lp521_jscalarmul_alt_sqr_p521) + ldp x6, x7, [sp, #288] + mov x1, #0xc + mul x3, x1, x6 + mul x4, x1, x7 + umulh x6, x1, x6 + adds x4, x4, x6 + umulh x7, x1, x7 + ldp x8, x9, [sp, #304] + mul x5, x1, x8 + mul x6, x1, x9 + umulh x8, x1, x8 + adcs x5, x5, x7 + umulh x9, x1, x9 + adcs x6, x6, x8 + ldp x10, x11, [sp, #320] + mul x7, x1, x10 + mul x8, x1, x11 + umulh x10, x1, x10 + adcs x7, x7, x9 + umulh x11, x1, x11 + adcs x8, x8, x10 + ldp x12, x13, [sp, #336] + mul x9, x1, x12 + mul x10, x1, x13 + umulh x12, x1, x12 + adcs x9, x9, x11 + umulh x13, x1, x13 + adcs x10, x10, x12 + ldr x14, [sp, #352] + mul x11, x1, x14 + adc x11, x11, x13 + mov x1, #0x9 + ldp x20, x21, [sp, #360] + mvn x20, x20 + mul x0, x1, x20 + umulh x20, x1, x20 + adds x3, x3, x0 + mvn x21, x21 + mul x0, x1, x21 + umulh x21, x1, x21 + adcs x4, x4, x0 + ldp x22, x23, [sp, #376] + mvn x22, x22 + mul x0, x1, x22 + umulh x22, x1, x22 + adcs x5, x5, x0 + mvn x23, x23 + mul x0, x1, x23 + umulh x23, x1, x23 + adcs x6, x6, x0 + ldp x17, x19, [sp, #392] + mvn x17, x17 + mul x0, x1, x17 + umulh x17, x1, x17 + adcs x7, x7, x0 + mvn x19, x19 + mul x0, x1, x19 + umulh x19, x1, x19 + adcs x8, x8, x0 + ldp x2, x16, [sp, #408] + mvn x2, x2 + mul x0, x1, x2 + umulh x2, x1, x2 + adcs x9, x9, x0 + mvn x16, x16 + mul x0, x1, x16 + umulh x16, x1, x16 + adcs x10, x10, x0 + ldr x0, [sp, #424] + eor x0, x0, #0x1ff + mul x0, x1, x0 + adc x11, x11, x0 + adds x4, x4, x20 + adcs x5, x5, x21 + and x15, x4, x5 + adcs x6, x6, x22 + and x15, x15, x6 + adcs x7, x7, x23 + and x15, x15, x7 + adcs x8, x8, x17 + and x15, x15, x8 + adcs x9, x9, x19 + and x15, x15, x9 + adcs x10, x10, x2 + and x15, x15, x10 + adc x11, x11, x16 + lsr x12, x11, #9 + orr x11, x11, #0xfffffffffffffe00 + cmp xzr, xzr + adcs xzr, x3, x12 + adcs xzr, x15, xzr + adcs xzr, x11, xzr + adcs x3, x3, x12 + adcs x4, x4, xzr + adcs x5, x5, xzr + adcs x6, x6, xzr + adcs x7, x7, xzr + adcs x8, x8, xzr + adcs x9, x9, xzr + adcs x10, x10, xzr + adc x11, x11, xzr + and x11, x11, #0x1ff + stp x3, x4, [sp, #360] + stp x5, x6, [sp, #376] + stp x7, x8, [sp, #392] + stp x9, x10, [sp, #408] + str x11, [sp, #424] + ldp x5, x6, [sp, #144] + ldp x4, x3, [sp] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #160] + ldp x4, x3, [sp, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [sp, #176] + ldp x4, x3, [sp, #32] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + ldp x11, x12, [sp, #192] + ldp x4, x3, [sp, #48] + sbcs x11, x11, x4 + sbcs x12, x12, x3 + ldr x13, [sp, #208] + ldr x4, [sp, #64] + sbcs x13, x13, x4 + sbcs x5, x5, xzr + sbcs x6, x6, xzr + sbcs x7, x7, xzr + sbcs x8, x8, xzr + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbcs x13, x13, xzr + and x13, x13, #0x1ff + stp x5, x6, [sp, #144] + stp x7, x8, [sp, #160] + stp x9, x10, [sp, #176] + stp x11, x12, [sp, #192] + str x13, [sp, #208] + mov x0, sp + add x1, sp, #0x48 + CFI_BL(Lp521_jscalarmul_alt_sqr_p521) + add x0, sp, #0xd8 + add x1, sp, #0x168 + add x2, sp, #0xd8 + CFI_BL(Lp521_jscalarmul_alt_mul_p521) + ldp x5, x6, [sp, #144] + ldp x4, x3, [sp, #72] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [sp, #160] + ldp x4, x3, [sp, #88] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [sp, #176] + ldp x4, x3, [sp, #104] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + ldp x11, x12, [sp, #192] + ldp x4, x3, [sp, #120] + sbcs x11, x11, x4 + sbcs x12, x12, x3 + ldr x13, [sp, #208] + ldr x4, [sp, #136] + sbcs x13, x13, x4 + sbcs x5, x5, xzr + sbcs x6, x6, xzr + sbcs x7, x7, xzr + sbcs x8, x8, xzr + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbcs x13, x13, xzr + and x13, x13, #0x1ff + stp x5, x6, [x27, #144] + stp x7, x8, [x27, #160] + stp x9, x10, [x27, #176] + stp x11, x12, [x27, #192] + str x13, [x27, #208] + ldp x6, x7, [sp, #288] + lsl x3, x6, #2 + extr x4, x7, x6, #62 + ldp x8, x9, [sp, #304] + extr x5, x8, x7, #62 + extr x6, x9, x8, #62 + ldp x10, x11, [sp, #320] + extr x7, x10, x9, #62 + extr x8, x11, x10, #62 + ldp x12, x13, [sp, #336] + extr x9, x12, x11, #62 + extr x10, x13, x12, #62 + ldr x14, [sp, #352] + extr x11, x14, x13, #62 + ldp x0, x1, [sp, #360] + mvn x0, x0 + adds x3, x3, x0 + sbcs x4, x4, x1 + ldp x0, x1, [sp, #376] + sbcs x5, x5, x0 + and x15, x4, x5 + sbcs x6, x6, x1 + and x15, x15, x6 + ldp x0, x1, [sp, #392] + sbcs x7, x7, x0 + and x15, x15, x7 + sbcs x8, x8, x1 + and x15, x15, x8 + ldp x0, x1, [sp, #408] + sbcs x9, x9, x0 + and x15, x15, x9 + sbcs x10, x10, x1 + and x15, x15, x10 + ldr x0, [sp, #424] + eor x0, x0, #0x1ff + adc x11, x11, x0 + lsr x12, x11, #9 + orr x11, x11, #0xfffffffffffffe00 + cmp xzr, xzr + adcs xzr, x3, x12 + adcs xzr, x15, xzr + adcs xzr, x11, xzr + adcs x3, x3, x12 + adcs x4, x4, xzr + adcs x5, x5, xzr + adcs x6, x6, xzr + adcs x7, x7, xzr + adcs x8, x8, xzr + adcs x9, x9, xzr + adcs x10, x10, xzr + adc x11, x11, xzr + and x11, x11, #0x1ff + stp x3, x4, [x27] + stp x5, x6, [x27, #16] + stp x7, x8, [x27, #32] + stp x9, x10, [x27, #48] + str x11, [x27, #64] + ldp x6, x7, [sp, #216] + lsl x3, x6, #1 + adds x3, x3, x6 + extr x4, x7, x6, #63 + adcs x4, x4, x7 + ldp x8, x9, [sp, #232] + extr x5, x8, x7, #63 + adcs x5, x5, x8 + extr x6, x9, x8, #63 + adcs x6, x6, x9 + ldp x10, x11, [sp, #248] + extr x7, x10, x9, #63 + adcs x7, x7, x10 + extr x8, x11, x10, #63 + adcs x8, x8, x11 + ldp x12, x13, [sp, #264] + extr x9, x12, x11, #63 + adcs x9, x9, x12 + extr x10, x13, x12, #63 + adcs x10, x10, x13 + ldr x14, [sp, #280] + extr x11, x14, x13, #63 + adc x11, x11, x14 + ldp x20, x21, [sp] + mvn x20, x20 + lsl x0, x20, #3 + adds x3, x3, x0 + mvn x21, x21 + extr x0, x21, x20, #61 + adcs x4, x4, x0 + ldp x22, x23, [sp, #16] + mvn x22, x22 + extr x0, x22, x21, #61 + adcs x5, x5, x0 + and x15, x4, x5 + mvn x23, x23 + extr x0, x23, x22, #61 + adcs x6, x6, x0 + and x15, x15, x6 + ldp x20, x21, [sp, #32] + mvn x20, x20 + extr x0, x20, x23, #61 + adcs x7, x7, x0 + and x15, x15, x7 + mvn x21, x21 + extr x0, x21, x20, #61 + adcs x8, x8, x0 + and x15, x15, x8 + ldp x22, x23, [sp, #48] + mvn x22, x22 + extr x0, x22, x21, #61 + adcs x9, x9, x0 + and x15, x15, x9 + mvn x23, x23 + extr x0, x23, x22, #61 + adcs x10, x10, x0 + and x15, x15, x10 + ldr x0, [sp, #64] + eor x0, x0, #0x1ff + extr x0, x0, x23, #61 + adc x11, x11, x0 + lsr x12, x11, #9 + orr x11, x11, #0xfffffffffffffe00 + cmp xzr, xzr + adcs xzr, x3, x12 + adcs xzr, x15, xzr + adcs xzr, x11, xzr + adcs x3, x3, x12 + adcs x4, x4, xzr + adcs x5, x5, xzr + adcs x6, x6, xzr + adcs x7, x7, xzr + adcs x8, x8, xzr + adcs x9, x9, xzr + adcs x10, x10, xzr + adc x11, x11, xzr + and x11, x11, #0x1ff + stp x3, x4, [x27, #72] + stp x5, x6, [x27, #88] + stp x7, x8, [x27, #104] + stp x9, x10, [x27, #120] + str x11, [x27, #136] + CFI_INC_SP(512) + CFI_POP2(x29,x30) + CFI_POP2(x27,x28) + CFI_POP2(x25,x26) + CFI_POP2(x23,x24) + CFI_POP2(x21,x22) + CFI_POP2(x19,x20) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_alt_jdouble) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_alt_mul_p521) + +Lp521_jscalarmul_alt_mul_p521: + CFI_START + ldp x3, x4, [x1] + ldp x5, x6, [x2] + mul x15, x3, x5 + umulh x16, x3, x5 + mul x14, x3, x6 + umulh x17, x3, x6 + adds x16, x16, x14 + ldp x7, x8, [x2, #16] + mul x14, x3, x7 + umulh x19, x3, x7 + adcs x17, x17, x14 + mul x14, x3, x8 + umulh x20, x3, x8 + adcs x19, x19, x14 + ldp x9, x10, [x2, #32] + mul x14, x3, x9 + umulh x21, x3, x9 + adcs x20, x20, x14 + mul x14, x3, x10 + umulh x22, x3, x10 + adcs x21, x21, x14 + ldp x11, x12, [x2, #48] + mul x14, x3, x11 + umulh x23, x3, x11 + adcs x22, x22, x14 + ldr x13, [x2, #64] + mul x14, x3, x12 + umulh x24, x3, x12 + adcs x23, x23, x14 + mul x14, x3, x13 + umulh x25, x3, x13 + adcs x24, x24, x14 + adc x25, x25, xzr + mul x14, x4, x5 + adds x16, x16, x14 + mul x14, x4, x6 + adcs x17, x17, x14 + mul x14, x4, x7 + adcs x19, x19, x14 + mul x14, x4, x8 + adcs x20, x20, x14 + mul x14, x4, x9 + adcs x21, x21, x14 + mul x14, x4, x10 + adcs x22, x22, x14 + mul x14, x4, x11 + adcs x23, x23, x14 + mul x14, x4, x12 + adcs x24, x24, x14 + mul x14, x4, x13 + adcs x25, x25, x14 + cset x26, cs + umulh x14, x4, x5 + adds x17, x17, x14 + umulh x14, x4, x6 + adcs x19, x19, x14 + umulh x14, x4, x7 + adcs x20, x20, x14 + umulh x14, x4, x8 + adcs x21, x21, x14 + umulh x14, x4, x9 + adcs x22, x22, x14 + umulh x14, x4, x10 + adcs x23, x23, x14 + umulh x14, x4, x11 + adcs x24, x24, x14 + umulh x14, x4, x12 + adcs x25, x25, x14 + umulh x14, x4, x13 + adc x26, x26, x14 + stp x15, x16, [sp, #432] + ldp x3, x4, [x1, #16] + mul x14, x3, x5 + adds x17, x17, x14 + mul x14, x3, x6 + adcs x19, x19, x14 + mul x14, x3, x7 + adcs x20, x20, x14 + mul x14, x3, x8 + adcs x21, x21, x14 + mul x14, x3, x9 + adcs x22, x22, x14 + mul x14, x3, x10 + adcs x23, x23, x14 + mul x14, x3, x11 + adcs x24, x24, x14 + mul x14, x3, x12 + adcs x25, x25, x14 + mul x14, x3, x13 + adcs x26, x26, x14 + cset x15, cs + umulh x14, x3, x5 + adds x19, x19, x14 + umulh x14, x3, x6 + adcs x20, x20, x14 + umulh x14, x3, x7 + adcs x21, x21, x14 + umulh x14, x3, x8 + adcs x22, x22, x14 + umulh x14, x3, x9 + adcs x23, x23, x14 + umulh x14, x3, x10 + adcs x24, x24, x14 + umulh x14, x3, x11 + adcs x25, x25, x14 + umulh x14, x3, x12 + adcs x26, x26, x14 + umulh x14, x3, x13 + adc x15, x15, x14 + mul x14, x4, x5 + adds x19, x19, x14 + mul x14, x4, x6 + adcs x20, x20, x14 + mul x14, x4, x7 + adcs x21, x21, x14 + mul x14, x4, x8 + adcs x22, x22, x14 + mul x14, x4, x9 + adcs x23, x23, x14 + mul x14, x4, x10 + adcs x24, x24, x14 + mul x14, x4, x11 + adcs x25, x25, x14 + mul x14, x4, x12 + adcs x26, x26, x14 + mul x14, x4, x13 + adcs x15, x15, x14 + cset x16, cs + umulh x14, x4, x5 + adds x20, x20, x14 + umulh x14, x4, x6 + adcs x21, x21, x14 + umulh x14, x4, x7 + adcs x22, x22, x14 + umulh x14, x4, x8 + adcs x23, x23, x14 + umulh x14, x4, x9 + adcs x24, x24, x14 + umulh x14, x4, x10 + adcs x25, x25, x14 + umulh x14, x4, x11 + adcs x26, x26, x14 + umulh x14, x4, x12 + adcs x15, x15, x14 + umulh x14, x4, x13 + adc x16, x16, x14 + stp x17, x19, [sp, #448] + ldp x3, x4, [x1, #32] + mul x14, x3, x5 + adds x20, x20, x14 + mul x14, x3, x6 + adcs x21, x21, x14 + mul x14, x3, x7 + adcs x22, x22, x14 + mul x14, x3, x8 + adcs x23, x23, x14 + mul x14, x3, x9 + adcs x24, x24, x14 + mul x14, x3, x10 + adcs x25, x25, x14 + mul x14, x3, x11 + adcs x26, x26, x14 + mul x14, x3, x12 + adcs x15, x15, x14 + mul x14, x3, x13 + adcs x16, x16, x14 + cset x17, cs + umulh x14, x3, x5 + adds x21, x21, x14 + umulh x14, x3, x6 + adcs x22, x22, x14 + umulh x14, x3, x7 + adcs x23, x23, x14 + umulh x14, x3, x8 + adcs x24, x24, x14 + umulh x14, x3, x9 + adcs x25, x25, x14 + umulh x14, x3, x10 + adcs x26, x26, x14 + umulh x14, x3, x11 + adcs x15, x15, x14 + umulh x14, x3, x12 + adcs x16, x16, x14 + umulh x14, x3, x13 + adc x17, x17, x14 + mul x14, x4, x5 + adds x21, x21, x14 + mul x14, x4, x6 + adcs x22, x22, x14 + mul x14, x4, x7 + adcs x23, x23, x14 + mul x14, x4, x8 + adcs x24, x24, x14 + mul x14, x4, x9 + adcs x25, x25, x14 + mul x14, x4, x10 + adcs x26, x26, x14 + mul x14, x4, x11 + adcs x15, x15, x14 + mul x14, x4, x12 + adcs x16, x16, x14 + mul x14, x4, x13 + adcs x17, x17, x14 + cset x19, cs + umulh x14, x4, x5 + adds x22, x22, x14 + umulh x14, x4, x6 + adcs x23, x23, x14 + umulh x14, x4, x7 + adcs x24, x24, x14 + umulh x14, x4, x8 + adcs x25, x25, x14 + umulh x14, x4, x9 + adcs x26, x26, x14 + umulh x14, x4, x10 + adcs x15, x15, x14 + umulh x14, x4, x11 + adcs x16, x16, x14 + umulh x14, x4, x12 + adcs x17, x17, x14 + umulh x14, x4, x13 + adc x19, x19, x14 + stp x20, x21, [sp, #464] + ldp x3, x4, [x1, #48] + mul x14, x3, x5 + adds x22, x22, x14 + mul x14, x3, x6 + adcs x23, x23, x14 + mul x14, x3, x7 + adcs x24, x24, x14 + mul x14, x3, x8 + adcs x25, x25, x14 + mul x14, x3, x9 + adcs x26, x26, x14 + mul x14, x3, x10 + adcs x15, x15, x14 + mul x14, x3, x11 + adcs x16, x16, x14 + mul x14, x3, x12 + adcs x17, x17, x14 + mul x14, x3, x13 + adcs x19, x19, x14 + cset x20, cs + umulh x14, x3, x5 + adds x23, x23, x14 + umulh x14, x3, x6 + adcs x24, x24, x14 + umulh x14, x3, x7 + adcs x25, x25, x14 + umulh x14, x3, x8 + adcs x26, x26, x14 + umulh x14, x3, x9 + adcs x15, x15, x14 + umulh x14, x3, x10 + adcs x16, x16, x14 + umulh x14, x3, x11 + adcs x17, x17, x14 + umulh x14, x3, x12 + adcs x19, x19, x14 + umulh x14, x3, x13 + adc x20, x20, x14 + mul x14, x4, x5 + adds x23, x23, x14 + mul x14, x4, x6 + adcs x24, x24, x14 + mul x14, x4, x7 + adcs x25, x25, x14 + mul x14, x4, x8 + adcs x26, x26, x14 + mul x14, x4, x9 + adcs x15, x15, x14 + mul x14, x4, x10 + adcs x16, x16, x14 + mul x14, x4, x11 + adcs x17, x17, x14 + mul x14, x4, x12 + adcs x19, x19, x14 + mul x14, x4, x13 + adcs x20, x20, x14 + cset x21, cs + umulh x14, x4, x5 + adds x24, x24, x14 + umulh x14, x4, x6 + adcs x25, x25, x14 + umulh x14, x4, x7 + adcs x26, x26, x14 + umulh x14, x4, x8 + adcs x15, x15, x14 + umulh x14, x4, x9 + adcs x16, x16, x14 + umulh x14, x4, x10 + adcs x17, x17, x14 + umulh x14, x4, x11 + adcs x19, x19, x14 + umulh x14, x4, x12 + adcs x20, x20, x14 + umulh x14, x4, x13 + adc x21, x21, x14 + stp x22, x23, [sp, #480] + ldr x3, [x1, #64] + mul x14, x3, x5 + adds x24, x24, x14 + mul x14, x3, x6 + adcs x25, x25, x14 + mul x14, x3, x7 + adcs x26, x26, x14 + mul x14, x3, x8 + adcs x15, x15, x14 + mul x14, x3, x9 + adcs x16, x16, x14 + mul x14, x3, x10 + adcs x17, x17, x14 + mul x14, x3, x11 + adcs x19, x19, x14 + mul x14, x3, x12 + adcs x20, x20, x14 + mul x14, x3, x13 + adc x21, x21, x14 + umulh x14, x3, x5 + adds x25, x25, x14 + umulh x14, x3, x6 + adcs x26, x26, x14 + umulh x14, x3, x7 + adcs x15, x15, x14 + umulh x14, x3, x8 + adcs x16, x16, x14 + umulh x14, x3, x9 + adcs x17, x17, x14 + umulh x14, x3, x10 + adcs x19, x19, x14 + umulh x14, x3, x11 + adcs x20, x20, x14 + umulh x14, x3, x12 + adc x21, x21, x14 + cmp xzr, xzr + ldp x5, x6, [sp, #432] + extr x14, x25, x24, #9 + adcs x5, x5, x14 + extr x14, x26, x25, #9 + adcs x6, x6, x14 + ldp x7, x8, [sp, #448] + extr x14, x15, x26, #9 + adcs x7, x7, x14 + extr x14, x16, x15, #9 + adcs x8, x8, x14 + ldp x9, x10, [sp, #464] + extr x14, x17, x16, #9 + adcs x9, x9, x14 + extr x14, x19, x17, #9 + adcs x10, x10, x14 + ldp x11, x12, [sp, #480] + extr x14, x20, x19, #9 + adcs x11, x11, x14 + extr x14, x21, x20, #9 + adcs x12, x12, x14 + orr x13, x24, #0xfffffffffffffe00 + lsr x14, x21, #9 + adcs x13, x13, x14 + sbcs x5, x5, xzr + sbcs x6, x6, xzr + sbcs x7, x7, xzr + sbcs x8, x8, xzr + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbc x13, x13, xzr + and x13, x13, #0x1ff + stp x5, x6, [x0] + stp x7, x8, [x0, #16] + stp x9, x10, [x0, #32] + stp x11, x12, [x0, #48] + str x13, [x0, #64] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_alt_mul_p521) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_alt_sqr_p521) + +Lp521_jscalarmul_alt_sqr_p521: + CFI_START + ldp x2, x3, [x1] + mul x11, x2, x3 + umulh x12, x2, x3 + ldp x4, x5, [x1, #16] + mul x10, x2, x4 + umulh x13, x2, x4 + adds x12, x12, x10 + ldp x6, x7, [x1, #32] + mul x10, x2, x5 + umulh x14, x2, x5 + adcs x13, x13, x10 + ldp x8, x9, [x1, #48] + mul x10, x2, x6 + umulh x15, x2, x6 + adcs x14, x14, x10 + mul x10, x2, x7 + umulh x16, x2, x7 + adcs x15, x15, x10 + mul x10, x2, x8 + umulh x17, x2, x8 + adcs x16, x16, x10 + mul x10, x2, x9 + umulh x19, x2, x9 + adcs x17, x17, x10 + adc x19, x19, xzr + mul x10, x3, x4 + adds x13, x13, x10 + mul x10, x3, x5 + adcs x14, x14, x10 + mul x10, x3, x6 + adcs x15, x15, x10 + mul x10, x3, x7 + adcs x16, x16, x10 + mul x10, x3, x8 + adcs x17, x17, x10 + mul x10, x3, x9 + adcs x19, x19, x10 + cset x20, cs + umulh x10, x3, x4 + adds x14, x14, x10 + umulh x10, x3, x5 + adcs x15, x15, x10 + umulh x10, x3, x6 + adcs x16, x16, x10 + umulh x10, x3, x7 + adcs x17, x17, x10 + umulh x10, x3, x8 + adcs x19, x19, x10 + umulh x10, x3, x9 + adc x20, x20, x10 + mul x10, x6, x7 + umulh x21, x6, x7 + adds x20, x20, x10 + adc x21, x21, xzr + mul x10, x4, x5 + adds x15, x15, x10 + mul x10, x4, x6 + adcs x16, x16, x10 + mul x10, x4, x7 + adcs x17, x17, x10 + mul x10, x4, x8 + adcs x19, x19, x10 + mul x10, x4, x9 + adcs x20, x20, x10 + mul x10, x6, x8 + adcs x21, x21, x10 + cset x22, cs + umulh x10, x4, x5 + adds x16, x16, x10 + umulh x10, x4, x6 + adcs x17, x17, x10 + umulh x10, x4, x7 + adcs x19, x19, x10 + umulh x10, x4, x8 + adcs x20, x20, x10 + umulh x10, x4, x9 + adcs x21, x21, x10 + umulh x10, x6, x8 + adc x22, x22, x10 + mul x10, x7, x8 + umulh x23, x7, x8 + adds x22, x22, x10 + adc x23, x23, xzr + mul x10, x5, x6 + adds x17, x17, x10 + mul x10, x5, x7 + adcs x19, x19, x10 + mul x10, x5, x8 + adcs x20, x20, x10 + mul x10, x5, x9 + adcs x21, x21, x10 + mul x10, x6, x9 + adcs x22, x22, x10 + mul x10, x7, x9 + adcs x23, x23, x10 + cset x24, cs + umulh x10, x5, x6 + adds x19, x19, x10 + umulh x10, x5, x7 + adcs x20, x20, x10 + umulh x10, x5, x8 + adcs x21, x21, x10 + umulh x10, x5, x9 + adcs x22, x22, x10 + umulh x10, x6, x9 + adcs x23, x23, x10 + umulh x10, x7, x9 + adc x24, x24, x10 + mul x10, x8, x9 + umulh x25, x8, x9 + adds x24, x24, x10 + adc x25, x25, xzr + adds x11, x11, x11 + adcs x12, x12, x12 + adcs x13, x13, x13 + adcs x14, x14, x14 + adcs x15, x15, x15 + adcs x16, x16, x16 + adcs x17, x17, x17 + adcs x19, x19, x19 + adcs x20, x20, x20 + adcs x21, x21, x21 + adcs x22, x22, x22 + adcs x23, x23, x23 + adcs x24, x24, x24 + adcs x25, x25, x25 + cset x26, cs + umulh x10, x2, x2 + adds x11, x11, x10 + mul x10, x3, x3 + adcs x12, x12, x10 + umulh x10, x3, x3 + adcs x13, x13, x10 + mul x10, x4, x4 + adcs x14, x14, x10 + umulh x10, x4, x4 + adcs x15, x15, x10 + mul x10, x5, x5 + adcs x16, x16, x10 + umulh x10, x5, x5 + adcs x17, x17, x10 + mul x10, x6, x6 + adcs x19, x19, x10 + umulh x10, x6, x6 + adcs x20, x20, x10 + mul x10, x7, x7 + adcs x21, x21, x10 + umulh x10, x7, x7 + adcs x22, x22, x10 + mul x10, x8, x8 + adcs x23, x23, x10 + umulh x10, x8, x8 + adcs x24, x24, x10 + mul x10, x9, x9 + adcs x25, x25, x10 + umulh x10, x9, x9 + adc x26, x26, x10 + ldr x1, [x1, #64] + add x1, x1, x1 + mul x10, x1, x2 + adds x19, x19, x10 + umulh x10, x1, x2 + adcs x20, x20, x10 + mul x10, x1, x4 + adcs x21, x21, x10 + umulh x10, x1, x4 + adcs x22, x22, x10 + mul x10, x1, x6 + adcs x23, x23, x10 + umulh x10, x1, x6 + adcs x24, x24, x10 + mul x10, x1, x8 + adcs x25, x25, x10 + umulh x10, x1, x8 + adcs x26, x26, x10 + lsr x4, x1, #1 + mul x4, x4, x4 + adc x4, x4, xzr + mul x10, x1, x3 + adds x20, x20, x10 + umulh x10, x1, x3 + adcs x21, x21, x10 + mul x10, x1, x5 + adcs x22, x22, x10 + umulh x10, x1, x5 + adcs x23, x23, x10 + mul x10, x1, x7 + adcs x24, x24, x10 + umulh x10, x1, x7 + adcs x25, x25, x10 + mul x10, x1, x9 + adcs x26, x26, x10 + umulh x10, x1, x9 + adc x4, x4, x10 + mul x2, x2, x2 + cmp xzr, xzr + extr x10, x20, x19, #9 + adcs x2, x2, x10 + extr x10, x21, x20, #9 + adcs x11, x11, x10 + extr x10, x22, x21, #9 + adcs x12, x12, x10 + extr x10, x23, x22, #9 + adcs x13, x13, x10 + extr x10, x24, x23, #9 + adcs x14, x14, x10 + extr x10, x25, x24, #9 + adcs x15, x15, x10 + extr x10, x26, x25, #9 + adcs x16, x16, x10 + extr x10, x4, x26, #9 + adcs x17, x17, x10 + orr x19, x19, #0xfffffffffffffe00 + lsr x10, x4, #9 + adcs x19, x19, x10 + sbcs x2, x2, xzr + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbcs x13, x13, xzr + sbcs x14, x14, xzr + sbcs x15, x15, xzr + sbcs x16, x16, xzr + sbcs x17, x17, xzr + sbc x19, x19, xzr + and x19, x19, #0x1ff + stp x2, x11, [x0] + stp x12, x13, [x0, #16] + stp x14, x15, [x0, #32] + stp x16, x17, [x0, #48] + str x19, [x0, #64] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_alt_sqr_p521) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_alt_sub_p521) + +Lp521_jscalarmul_alt_sub_p521: + CFI_START + ldp x5, x6, [x1] + ldp x4, x3, [x2] + subs x5, x5, x4 + sbcs x6, x6, x3 + ldp x7, x8, [x1, #16] + ldp x4, x3, [x2, #16] + sbcs x7, x7, x4 + sbcs x8, x8, x3 + ldp x9, x10, [x1, #32] + ldp x4, x3, [x2, #32] + sbcs x9, x9, x4 + sbcs x10, x10, x3 + ldp x11, x12, [x1, #48] + ldp x4, x3, [x2, #48] + sbcs x11, x11, x4 + sbcs x12, x12, x3 + ldr x13, [x1, #64] + ldr x4, [x2, #64] + sbcs x13, x13, x4 + sbcs x5, x5, xzr + sbcs x6, x6, xzr + sbcs x7, x7, xzr + sbcs x8, x8, xzr + sbcs x9, x9, xzr + sbcs x10, x10, xzr + sbcs x11, x11, xzr + sbcs x12, x12, xzr + sbcs x13, x13, xzr + and x13, x13, #0x1ff + stp x5, x6, [x0] + stp x7, x8, [x0, #16] + stp x9, x10, [x0, #32] + stp x11, x12, [x0, #48] + str x13, [x0, #64] + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_alt_sub_p521) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/import.sh b/cbits/s2n/import.sh new file mode 100644 --- /dev/null +++ b/cbits/s2n/import.sh @@ -0,0 +1,112 @@ +#!/bin/sh +# Re-import the vendored parts of AWS's s2n-bignum. +# +# Only the files crypton calls are kept, and they are kept unmodified -- the +# dispatch that chooses between the two variants of each is in +# cbits/p256/p256_s2n.c, not in here. Run this from cbits/s2n: +# +# ./import.sh [commit] +# +# and commit the result together with the COMMIT line it writes, so that the +# tree always says which upstream revision it holds. +set -eu + +REPO=https://github.com/awslabs/s2n-bignum +REV=${1:-main} +HERE=$(cd "$(dirname "$0")" && pwd) +TMP=$(mktemp -d) +trap 'rm -rf "$TMP"' EXIT + +git clone -q "$REPO" "$TMP/s2n" +git -C "$TMP/s2n" checkout -q "$REV" + +# The headers every vendored file includes. +for h in _internal_s2n_bignum_arm.h _internal_s2n_bignum_x86_att.h; do + cp "$TMP/s2n/include/$h" "$HERE/include/$h" +done +cp "$TMP/s2n/LICENSE" "$HERE/LICENSE" + +# Both variants of each routine are taken, since which one is faster is not +# the same question on the two architectures -- see README.md. Where the +# upstream tree has no separate _alt file the plain one defines both symbols, +# so "copy it if it is there" gets the right set either way. +# x86-64 only, for the things AArch64 does not want -- see README.md. +take_x86() { + dir=$1 + name=$2 + cp "$TMP/s2n/x86_att/$dir/$name.S" "$HERE/x86_att/$name.S" +} + +take() { + curve=$1 + name=$2 + for arch in arm x86_att; do + for v in "" _alt; do + src="$TMP/s2n/$arch/$curve/$name$v.S" + if [ -f "$src" ]; then + cp "$src" "$HERE/$arch/$name$v.S" + fi + done + done +} + +# P-256: variable-point scalar multiplication, affine in and out, and the +# fixed-base one, which reads a table of its own that +# cbits/p256/gen_base_table.py builds. +take p256 p256_scalarmul +take p256 p256_scalarmulbase + +# The Jacobian point operations, which ECDSA verification walks itself: it +# multiplies two scalars at once, in variable time, which is allowed there +# because everything it touches is public. See cbits/p256/p256_verify.c. +take p256 p256_montjadd +take p256 p256_montjdouble +take p256 p256_montjmixadd +take p256 bignum_tomont_p256 +take p256 bignum_demont_p256 +take p256 bignum_neg_p256 + +# P-384 and P-521 have no affine wrapper upstream, so the Montgomery and +# Jacobian conversions are built here out of these; the glue is in +# cbits/crypton_ecc_s2n.c. +take p384 p384_montjscalarmul +take p384 bignum_tomont_p384 +take p384 bignum_deamont_p384 +take p384 bignum_montmul_p384 +take p384 bignum_montsqr_p384 +take p384 bignum_montinv_p384 + +take p521 p521_jscalarmul +take p521 bignum_mul_p521 +take p521 bignum_sqr_p521 +take p521 bignum_inv_p521 + +# X25519, both the general one and the fixed-base one that a key is +# generated with. The word form, which both architectures have, rather than +# the byte form that only AArch64 has: they measure the same and this way +# there is one code path. +take curve25519 curve25519_x25519 +take curve25519 curve25519_x25519base + +# Ed25519's base point multiplication, which signing does twice -- once for +# the nonce's point and once for the public key it derives from the secret +# key every time -- and the encoding of the result, which has one form. +take curve25519 edwards25519_scalarmulbase +take curve25519 edwards25519_encode + +# Inversion modulo an odd number of any size, which is what ECDSA does once +# per signature and once per verification. It uses no instruction beyond +# the base architecture, so there is one of it and no run-time question. +take generic bignum_modinv + +# Modular exponentiation at RSA sizes. Only x86-64: on AArch64 crypton's C +# is the faster of the two, measured, so nothing is taken for it. The +# Karatsuba multiplications and the reduction all want ADX. +take_x86 fastmul bignum_kmul_16_32 +take_x86 fastmul bignum_ksqr_16_32 +take_x86 fastmul bignum_kmul_32_64 +take_x86 fastmul bignum_ksqr_32_64 +take_x86 fastmul bignum_emontredc_8n + +git -C "$TMP/s2n" rev-parse HEAD > "$HERE/COMMIT" +echo "imported $(cat "$HERE/COMMIT")" diff --git a/cbits/s2n/include/_internal_s2n_bignum_arm.h b/cbits/s2n/include/_internal_s2n_bignum_arm.h new file mode 100644 --- /dev/null +++ b/cbits/s2n/include/_internal_s2n_bignum_arm.h @@ -0,0 +1,103 @@ +#ifdef __APPLE__ +# define S2N_BN_SYMBOL(NAME) _##NAME +# if defined(__AARCH64EL__) || defined(__ARMEL__) +# define __LF %% +# else +# define __LF ; +# endif +#else +# define S2N_BN_SYMBOL(name) name +# define __LF ; +#endif + +#define S2N_BN_SYM_VISIBILITY_DIRECTIVE(name) .globl S2N_BN_SYMBOL(name) + +#ifdef S2N_BN_HIDE_SYMBOLS +# ifdef __APPLE__ +# define S2N_BN_SYM_PRIVACY_DIRECTIVE(name) .private_extern S2N_BN_SYMBOL(name) +# else +# define S2N_BN_SYM_PRIVACY_DIRECTIVE(name) .hidden S2N_BN_SYMBOL(name) +# endif +#else +# define S2N_BN_SYM_PRIVACY_DIRECTIVE(name) /* NO-OP: S2N_BN_SYM_PRIVACY_DIRECTIVE */ +#endif + +#ifdef __APPLE__ +# define S2N_BN_FUNCTION_TYPE_DIRECTIVE(name) /* Not used in Mach-O */ +#else +# define S2N_BN_FUNCTION_TYPE_DIRECTIVE(name) .type name, %function +#endif + +#ifdef __APPLE__ +# define S2N_BN_SIZE_DIRECTIVE(name) /* Not used in Mach-O */ +#else +# define S2N_BN_SIZE_DIRECTIVE(name) .size S2N_BN_SYMBOL(name), .-S2N_BN_SYMBOL(name) +#endif + +// Enable branch target identification (BTI) support unless explicitly disabled +// with -DNO_IBT, mirroring the x86 _CET_ENDBR machinery. AARCH64_VALID_CALL_TARGET +// is emitted at each entry point unconditionally by default, since BTI 'c' is in +// the hint space and so behaves as a NOP on all pre-Armv8.5-A processors. The name +// matches AWS-LC's macro, whose definition we defer to if already present, just as +// the x86 side defers to . Unlike CET, BTI also needs a .note.gnu.property +// section: it has GNU_PROPERTY_AARCH64_FEATURE_1_AND semantics, so one object +// without the note silently disables BTI program-wide, hence emitting it here. + +#if NO_IBT +# if defined(AARCH64_VALID_CALL_TARGET) +# error "The s2n-bignum build option NO_IBT was configured, but AARCH64_VALID_CALL_TARGET is defined in this compilation unit. That is weird, so failing the build." +# endif +# define AARCH64_VALID_CALL_TARGET +#elif !defined(AARCH64_VALID_CALL_TARGET) +# define AARCH64_VALID_CALL_TARGET hint #34 /* BTI c */ +# ifndef __APPLE__ + .pushsection .note.gnu.property, "a" + .balign 8 + .long 4 /* n_namesz: sizeof "GNU\0" */ + .long 0x10 /* n_descsz: 16 bytes of property data */ + .long 0x5 /* n_type: NT_GNU_PROPERTY_TYPE_0 */ + .asciz "GNU" + .long 0xc0000000 /* pr_type: GNU_PROPERTY_AARCH64_FEATURE_1_AND */ + .long 4 /* pr_datasz: 4 bytes */ + .long 1 /* pr_data: GNU_PROPERTY_AARCH64_FEATURE_1_BTI */ + .long 0 /* pad to 8-byte alignment */ + .popsection +# endif +#endif + +// Variants of instructions including CFI (call frame information) annotations + +#define CFI_START .cfi_startproc +#define CFI_RET ret __LF .cfi_endproc + +#define CFI_BL(target) bl target + +#define CFI_PUSH2(lo,hi) stp lo, hi, [sp, #-16]! __LF .cfi_adjust_cfa_offset 16 __LF .cfi_rel_offset lo, 0 __LF .cfi_rel_offset hi, 8 +#define CFI_PUSH1Z(reg) stp reg, xzr, [sp, #-16]! __LF .cfi_adjust_cfa_offset 16 __LF .cfi_rel_offset reg, 0 + +#define CFI_POP2(lo,hi) ldp lo, hi, [sp], #16 __LF .cfi_adjust_cfa_offset -16 __LF .cfi_restore lo __LF .cfi_restore hi +#define CFI_POP1Z(reg) ldp reg, xzr, [sp], #16 __LF .cfi_adjust_cfa_offset -16 __LF .cfi_restore reg + +#define CFI_STACKSAVE2(lo,hi,offset) stp lo, hi, [sp, #(offset)] __LF .cfi_rel_offset lo, offset __LF .cfi_rel_offset hi, offset+8 + +// This is an alternative to CFI_STACKSAVE2 to work around delocator problems +// in the AWS-LC FIPS build, avoiding certain composite expressions. It is +// expected that offset8 = offset+8 as in an invocation of CFI_STACKSAVE2. +// Likewise the (offset+0) oddities in the following macros are driven by +// delocator problems. + +#define CFI_STACKSAVE2X(lo,hi,offset,offset8) stp lo, hi, [sp, #(offset+0)] __LF .cfi_rel_offset lo, offset __LF .cfi_rel_offset hi, offset8 + +#define CFI_STACKSAVE1Z(reg,offset) stp reg, xzr, [sp, #(offset+0)] __LF .cfi_rel_offset reg, offset + +#define CFI_STACKLOAD2(lo,hi,offset) ldp lo, hi, [sp, #(offset+0)] __LF .cfi_restore lo __LF .cfi_restore hi +#define CFI_STACKLOAD1Z(reg,offset) ldp reg, xzr, [sp, #(offset+0)] __LF .cfi_restore reg + +// It would be better to use -(offset) not -offset, but again there seem +// to be delocator issues. We adopt a discipline of not using dangerous +// composite expressions in this macro, e.g. parenthesizing the argument +// or just using numeric constants or products where the association is +// not a problem. + +#define CFI_INC_SP(offset) add sp, sp, #(offset+0) __LF .cfi_adjust_cfa_offset -offset +#define CFI_DEC_SP(offset) sub sp, sp, #(offset+0) __LF .cfi_adjust_cfa_offset offset diff --git a/cbits/s2n/include/_internal_s2n_bignum_x86_att.h b/cbits/s2n/include/_internal_s2n_bignum_x86_att.h new file mode 100644 --- /dev/null +++ b/cbits/s2n/include/_internal_s2n_bignum_x86_att.h @@ -0,0 +1,68 @@ +#ifdef __APPLE__ +# define S2N_BN_SYMBOL(NAME) _##NAME +#else +# define S2N_BN_SYMBOL(name) name +#endif + +#define S2N_BN_SYM_VISIBILITY_DIRECTIVE(name) .globl S2N_BN_SYMBOL(name) + +#ifdef S2N_BN_HIDE_SYMBOLS +# ifdef __APPLE__ +# define S2N_BN_SYM_PRIVACY_DIRECTIVE(name) .private_extern S2N_BN_SYMBOL(name) +# else +# define S2N_BN_SYM_PRIVACY_DIRECTIVE(name) .hidden S2N_BN_SYMBOL(name) +# endif +#else +# define S2N_BN_SYM_PRIVACY_DIRECTIVE(name) /* NO-OP: S2N_BN_SYM_PRIVACY_DIRECTIVE */ +#endif + +#ifdef __APPLE__ +# define S2N_BN_FUNCTION_TYPE_DIRECTIVE(name) /* Not used in Mach-O */ +#else +# define S2N_BN_FUNCTION_TYPE_DIRECTIVE(name) .type name, %function +#endif + +#ifdef __APPLE__ +# define S2N_BN_SIZE_DIRECTIVE(name) /* Not used in Mach-O */ +#else +# define S2N_BN_SIZE_DIRECTIVE(name) .size S2N_BN_SYMBOL(name), .-S2N_BN_SYMBOL(name) +#endif + +// Enable indirect branch tracking support unless explicitly disabled +// with -DNO_IBT. If the platform supports CET, simply inherit this from +// the usual header. Otherwise manually define _CET_ENDBR, used at each +// x86 entry point, to be the ENDBR64 instruction, with an explicit byte +// sequence for compilers/assemblers that don't know about it. Note that +// it is safe to use ENDBR64 on all platforms, since the encoding is by +// design interpreted as a NOP on all pre-CET x86_64 processors. The only +// downside is a small increase in code size and potentially a modest +// slowdown from executing one more instruction. + +#if NO_IBT +# if defined(_CET_ENDBR) +# error "The s2n-bignum build option NO_IBT was configured, but _CET_ENDBR is defined in this compilation unit. That is weird, so failing the build." +# endif +# define _CET_ENDBR +#elif defined(__CET__) +# include +#elif !defined(_CET_ENDBR) +# define _CET_ENDBR .byte 0xf3,0x0f,0x1e,0xfa +#endif + +// Variants of instructions including CFI (call frame information) annotations + +#define CFI_START .cfi_startproc +#define CFI_RET retq ; .cfi_endproc + +#define CFI_CALL(target) callq target + +#define CFI_PUSH(reg) pushq reg ; .cfi_adjust_cfa_offset 8 ; .cfi_rel_offset reg, 0 +#define CFI_POP(reg) popq reg ; .cfi_adjust_cfa_offset -8 ; .cfi_restore reg + +#define CFI_INC_RSP(offset) addq $offset, %rsp ; .cfi_adjust_cfa_offset -offset +#define CFI_DEC_RSP(offset) subq $offset, %rsp ; .cfi_adjust_cfa_offset offset + +#define CFI_STACKSAVE(reg,offset) mov reg, offset(%rsp) ; .cfi_rel_offset reg, offset +#define CFI_STACKLOAD(reg,offset) mov offset(%rsp), reg ; .cfi_restore reg +#define CFI_STACKSAVEU(reg,offset) movups reg, offset(%rsp) ; .cfi_rel_offset reg, offset +#define CFI_STACKLOADU(reg,offset) movups offset(%rsp), reg ; .cfi_restore reg diff --git a/cbits/s2n/x86_att/bignum_deamont_p384.S b/cbits/s2n/x86_att/bignum_deamont_p384.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_deamont_p384.S @@ -0,0 +1,184 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Convert from almost-Montgomery form, z := (x / 2^384) mod p_384 +// Input x[6]; output z[6] +// +// extern void bignum_deamont_p384(uint64_t z[static 6], +// const uint64_t x[static 6]); +// +// Convert a 6-digit bignum x out of its (optionally almost) Montgomery form, +// "almost" meaning any 6-digit input will work, with no range restriction. +// +// Standard x86-64 ABI: RDI = z, RSI = x +// Microsoft x64 ABI: RCX = z, RDX = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_deamont_p384) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_deamont_p384) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_deamont_p384) + .text + +#define z %rdi +#define x %rsi + +// Additional temps in the correction phase + +#define u %rax +#define v %rcx +#define w %rdx + +#define vshort %ecx + +// Core one-step "short" Montgomery reduction macro. Takes input in +// [d5;d4;d3;d2;d1;d0] and returns result in [d6;d5;d4;d3;d2;d1], +// adding to the existing contents of [d5;d4;d3;d2;d1;d0]. This +// is intended only for 6-word inputs as in mapping out of Montgomery, +// not for the general case of Montgomery multiplication. It is fine +// for d6 to be the same register as d0. +// +// Parms: montreds(d6,d5,d4,d3,d2,d1,d0) +// +// We want to add (2^384 - 2^128 - 2^96 + 2^32 - 1) * w +// where w = [d0 + (d0<<32)] mod 2^64 + +#define montreds(d6,d5,d4,d3,d2,d1,d0) \ +/* Our correction multiplier is w = [d0 + (d0<<32)] mod 2^64 */ \ + movq d0, %rdx ; \ + shlq $32, %rdx ; \ + addq d0, %rdx ; \ +/* Construct [%rsi;%rcx;%rax;-] = (2^384 - p_384) * w */ \ +/* We know the lowest word will cancel so we can re-use d0 */ \ +/* as a temp. */ \ + xorq %rsi, %rsi ; \ + movq $0xffffffff00000001, %rax ; \ + mulxq %rax, %rcx, %rax ; \ + movl $0x00000000ffffffff, %ecx ; \ + mulxq %rcx, d0, %rcx ; \ + adcq d0, %rax ; \ + adcq %rdx, %rcx ; \ + adcq $0, %rsi ; \ +/* Now subtract that and add 2^384 * w */ \ + subq %rax, d1 ; \ + sbbq %rcx, d2 ; \ + sbbq %rsi, d3 ; \ + sbbq $0, d4 ; \ + sbbq $0, d5 ; \ + movq %rdx, d6 ; \ + sbbq $0, d6 + +S2N_BN_SYMBOL(bignum_deamont_p384): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi +#endif + +// Save more registers to play with + + CFI_PUSH(%r12) + CFI_PUSH(%r13) + +// Set up an initial window [%r13,%r12,%r11,%r10,%r9,%r8] = x + + movq (x), %r8 + movq 8(x), %r9 + movq 16(x), %r10 + movq 24(x), %r11 + movq 32(x), %r12 + movq 40(x), %r13 + +// Montgomery reduce window 0 + + montreds(%r8,%r13,%r12,%r11,%r10,%r9,%r8) + +// Montgomery reduce window 1 + + montreds(%r9,%r8,%r13,%r12,%r11,%r10,%r9) + +// Montgomery reduce window 2 + + montreds(%r10,%r9,%r8,%r13,%r12,%r11,%r10) + +// Montgomery reduce window 3 + + montreds(%r11,%r10,%r9,%r8,%r13,%r12,%r11) + +// Montgomery reduce window 4 + + montreds(%r12,%r11,%r10,%r9,%r8,%r13,%r12) + +// Montgomery reduce window 5 + + montreds(%r13,%r12,%r11,%r10,%r9,%r8,%r13) + +// Do a test addition of dd = [%r13;%r12;%r11;%r10;%r9;%r8] and +// 2^384 - p_384 = [0;0;0;1;v;u], hence setting CF iff +// dd + (2^384 - p_384) >= 2^384, hence iff dd >= p_384. + + movq $0xffffffff00000001, u + movl $0x00000000ffffffff, vshort + + movq %r8, w + addq u, w + movq %r9, w + adcq v, w + movq %r10, w + adcq $1, w + movq %r11, w + adcq $0, w + movq %r12, w + adcq $0, w + movq %r13, w + adcq $0, w + +// Convert CF to a bitmask in w + + sbbq w, w + +// Masked addition of 2^384 - p_384, hence subtraction of p_384 + + andq w, u + andq w, v + andq $1, w + + addq u, %r8 + adcq v, %r9 + adcq w, %r10 + adcq $0, %r11 + adcq $0, %r12 + adcq $0, %r13 + +// Write back the result + + movq %r8, (z) + movq %r9, 8(z) + movq %r10, 16(z) + movq %r11, 24(z) + movq %r12, 32(z) + movq %r13, 40(z) + +// Restore registers and return + + CFI_POP(%r13) + CFI_POP(%r12) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_deamont_p384) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_deamont_p384_alt.S b/cbits/s2n/x86_att/bignum_deamont_p384_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_deamont_p384_alt.S @@ -0,0 +1,184 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Convert from almost-Montgomery form, z := (x / 2^384) mod p_384 +// Input x[6]; output z[6] +// +// extern void bignum_deamont_p384_alt(uint64_t z[static 6], +// const uint64_t x[static 6]); +// +// Convert a 6-digit bignum x out of its (optionally almost) Montgomery form, +// "almost" meaning any 6-digit input will work, with no range restriction. +// +// Standard x86-64 ABI: RDI = z, RSI = x +// Microsoft x64 ABI: RCX = z, RDX = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_deamont_p384_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_deamont_p384_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_deamont_p384_alt) + .text + +#define z %rdi +#define x %rsi + +// Additional temps in the correction phase + +#define u %rax +#define v %rcx +#define w %rdx + +#define vshort %ecx + +// Core one-step "short" Montgomery reduction macro. Takes input in +// [d5;d4;d3;d2;d1;d0] and returns result in [d6;d5;d4;d3;d2;d1], +// adding to the existing [d5;d4;d3;d2;d1] and re-using d0 as a +// temporary internally, as well as %rax, %rcx and %rdx. +// It is OK for d6 and d0 to be the same register (they often are) +// +// We want to add (2^384 - 2^128 - 2^96 + 2^32 - 1) * w +// where w = [d0 + (d0<<32)] mod 2^64 +// +// montreds(d6,d5,d4,d3,d2,d1,d0) + +#define montreds(d6,d5,d4,d3,d2,d1,d0) \ +/* Our correction multiplier is w = [d0 + (d0<<32)] mod 2^64 */ \ + movq d0, %rcx ; \ + shlq $32, %rcx ; \ + addq d0, %rcx ; \ +/* Construct [%rax;%rdx;d0;-] = (2^384 - p_384) * w */ \ +/* We know the lowest word will cancel so we can re-use d0 */ \ +/* and %rcx as temps. */ \ + movq $0xffffffff00000001, %rax ; \ + mulq %rcx; \ + movq %rdx, d0 ; \ + movq $0x00000000ffffffff, %rax ; \ + mulq %rcx; \ + addq %rax, d0 ; \ + movl $0, %eax ; \ + adcq %rcx, %rdx ; \ + adcl %eax, %eax ; \ +/* Now subtract that and add 2^384 * w */ \ + subq d0, d1 ; \ + sbbq %rdx, d2 ; \ + sbbq %rax, d3 ; \ + sbbq $0, d4 ; \ + sbbq $0, d5 ; \ + movq %rcx, d6 ; \ + sbbq $0, d6 + +S2N_BN_SYMBOL(bignum_deamont_p384_alt): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi +#endif + +// Save more registers to play with + + CFI_PUSH(%r12) + CFI_PUSH(%r13) + +// Set up an initial window [%r13,%r12,%r11,%r10,%r9,%r8] = x + + movq (x), %r8 + movq 8(x), %r9 + movq 16(x), %r10 + movq 24(x), %r11 + movq 32(x), %r12 + movq 40(x), %r13 + +// Montgomery reduce window 0 + + montreds(%r8,%r13,%r12,%r11,%r10,%r9,%r8) + +// Montgomery reduce window 1 + + montreds(%r9,%r8,%r13,%r12,%r11,%r10,%r9) + +// Montgomery reduce window 2 + + montreds(%r10,%r9,%r8,%r13,%r12,%r11,%r10) + +// Montgomery reduce window 3 + + montreds(%r11,%r10,%r9,%r8,%r13,%r12,%r11) + +// Montgomery reduce window 4 + + montreds(%r12,%r11,%r10,%r9,%r8,%r13,%r12) + +// Montgomery reduce window 5 + + montreds(%r13,%r12,%r11,%r10,%r9,%r8,%r13) + +// Do a test addition of dd = [%r13;%r12;%r11;%r10;%r9;%r8] and +// 2^384 - p_384 = [0;0;0;1;v;u], hence setting CF iff +// dd + (2^384 - p_384) >= 2^384, hence iff dd >= p_384. + + movq $0xffffffff00000001, u + movl $0x00000000ffffffff, vshort + + movq %r8, w + addq u, w + movq %r9, w + adcq v, w + movq %r10, w + adcq $1, w + movq %r11, w + adcq $0, w + movq %r12, w + adcq $0, w + movq %r13, w + adcq $0, w + +// Convert CF to a bitmask in w + + sbbq w, w + +// Masked addition of 2^384 - p_384, hence subtraction of p_384 + + andq w, u + andq w, v + andq $1, w + + addq u, %r8 + adcq v, %r9 + adcq w, %r10 + adcq $0, %r11 + adcq $0, %r12 + adcq $0, %r13 + +// Write back the result + + movq %r8, (z) + movq %r9, 8(z) + movq %r10, 16(z) + movq %r11, 24(z) + movq %r12, 32(z) + movq %r13, 40(z) + +// Restore registers and return + + CFI_POP(%r13) + CFI_POP(%r12) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_deamont_p384_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_demont_p256.S b/cbits/s2n/x86_att/bignum_demont_p256.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_demont_p256.S @@ -0,0 +1,116 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Convert from Montgomery form z := (x / 2^256) mod p_256, assuming x reduced +// Input x[4]; output z[4] +// +// extern void bignum_demont_p256(uint64_t z[static 4], +// const uint64_t x[static 4]); +// +// This assumes the input is < p_256 for correctness. If this is not the case, +// use the variant "bignum_deamont_p256" instead. +// +// Standard x86-64 ABI: RDI = z, RSI = x +// Microsoft x64 ABI: RCX = z, RDX = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_demont_p256) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_demont_p256) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_demont_p256) + .text + +#define z %rdi +#define x %rsi + +// Add %rdx * m into a register-pair (high,low) +// maintaining consistent double-carrying with adcx and adox, +// using %rax and %rcx as temporaries + +#define mulpadd(high,low,m) \ + mulxq m, %rax, %rcx ; \ + adcxq %rax, low ; \ + adoxq %rcx, high + +S2N_BN_SYMBOL(bignum_demont_p256): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi +#endif + +// Save one more register to play with + + CFI_PUSH(%rbx) + +// Set up an initial 4-word window [%r11,%r10,%r9,%r8] = x + + movq (x), %r8 + movq 8(x), %r9 + movq 16(x), %r10 + movq 24(x), %r11 + +// Fill in two zeros to the left + + xorq %rbx, %rbx + xorq %rsi, %rsi + +// Montgomery reduce windows 0 and 1 together + + movq $0x0000000100000000, %rdx + mulpadd(%r10,%r9,%r8) + mulpadd(%r11,%r10,%r9) + movq $0xffffffff00000001, %rdx + mulpadd(%rbx,%r11,%r8) + mulpadd(%rsi,%rbx,%r9) + movl $0, %r8d + adcxq %r8, %rsi + +// Append just one more leading zero (by the above %r8 = 0 already). + + xorq %r9, %r9 + +// Montgomery reduce windows 2 and 3 together + + movq $0x0000000100000000, %rdx + mulpadd(%rbx,%r11,%r10) + mulpadd(%rsi,%rbx,%r11) + movq $0xffffffff00000001, %rdx + mulpadd(%r8,%rsi,%r10) + mulpadd(%r9,%r8,%r11) + movl $0, %r10d + adcxq %r10, %r9 + +// Since the input was assumed reduced modulo, i.e. < p, we actually know that +// 2^256 * [carries; %r9;%r8;%rsi;%rbx] is <= (p - 1) + (2^256 - 1) p +// and hence [carries; %r9;%r8;%rsi;%rbx] < p. This means in fact carries = 0 +// and [%r9;%r8;%rsi;%rbx] is already our answer, without further correction. +// Write that back. + + movq %rbx, (z) + movq %rsi, 8(z) + movq %r8, 16(z) + movq %r9, 24(z) + +// Restore saved register and return + + CFI_POP(%rbx) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_demont_p256) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_demont_p256_alt.S b/cbits/s2n/x86_att/bignum_demont_p256_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_demont_p256_alt.S @@ -0,0 +1,134 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Convert from Montgomery form z := (x / 2^256) mod p_256, assuming x reduced +// Input x[4]; output z[4] +// +// extern void bignum_demont_p256_alt(uint64_t z[static 4], +// const uint64_t x[static 4]); +// +// This assumes the input is < p_256 for correctness. If this is not the case, +// use the variant "bignum_deamont_p256" instead. +// +// Standard x86-64 ABI: RDI = z, RSI = x +// Microsoft x64 ABI: RCX = z, RDX = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_demont_p256_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_demont_p256_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_demont_p256_alt) + .text + +#define z %rdi +#define x %rsi + +// Add %rdx * m into a register-pair (high,low) +// maintaining consistent double-carrying with adcx and adox, +// using %rax and %rcx as temporaries + +#define mulpado(high,low,m) \ + mulxq m, %rax, %rcx ; \ + adcxq %rax, low ; \ + adoxq %rcx, high + +// Add %rcx * m into a register-pair (high,low) maintaining consistent +// carry-catching with carry (negated, as bitmask) and using %rax and %rdx +// as temporaries + +#define mulpadd(carry,high,low,m) \ + movq m, %rax ; \ + mulq %rcx; \ + subq carry, %rdx ; \ + addq %rax, low ; \ + adcq %rdx, high ; \ + sbbq carry, carry + +// Initial version assuming no carry-in + +#define mulpadi(carry,high,low,m) \ + movq m, %rax ; \ + mulq %rcx; \ + addq %rax, low ; \ + adcq %rdx, high ; \ + sbbq carry, carry + +// Version with no carry in or out + +#define mulpadn(high,low,m) \ + movq m, %rax ; \ + mulq %rcx; \ + addq %rax, low ; \ + adcq %rdx, high + +S2N_BN_SYMBOL(bignum_demont_p256_alt): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi +#endif + +// Set up an initial 4-word window [%r11,%r10,%r9,%r8] = x + + movq (x), %r8 + movq 8(x), %r9 + movq 16(x), %r10 + movq 24(x), %r11 + +// Load constant 2^32; %rcx toggles between this and (1 - %rcx) below + + movq $0x0000000100000000, %rcx + +// Montgomery reduce windows 0 and 1 together as [%r8;%rsi;%r11;%r10] + + mulpadi(%rsi,%r10,%r9,%r8) + mulpadd(%rsi,%r11,%r10,%r9) + negq %rcx + negq %rsi + incq %rcx + mulpadi(%r8,%rsi,%r11,%r8) + negq %r8 + mulpadn(%r8,%rsi,%r9) + +// Montgomery reduce windows 2 and 3 together as [%r10;%r9;%r8;%rsi] + + negq %rcx + incq %rcx + mulpadi(%r9,%rsi,%r11,%r10) + mulpadd(%r9,%r8,%rsi,%r11) + negq %rcx + negq %r9 + incq %rcx + mulpadi(%r10,%r9,%r8,%r10) + negq %r10 + mulpadn(%r10,%r9,%r11) + +// Since the input was assumed reduced modulo, i.e. < p, we actually know that +// 2^256 * [carries; %r10;%r9;%r8;%rsi] is <= (p - 1) + (2^256 - 1) p +// and hence [carries; %r10;%r9;%r8;%rsi] < p. This means in fact carries = 0 +// and [%r10;%r9;%r8;%rsi] is already our answer, without further correction. +// Write that back. + + movq %rsi, (z) + movq %r8, 8(z) + movq %r9, 16(z) + movq %r10, 24(z) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_demont_p256_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_emontredc_8n.S b/cbits/s2n/x86_att/bignum_emontredc_8n.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_emontredc_8n.S @@ -0,0 +1,427 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Extended Montgomery reduce in 8-digit blocks, results in input-output buffer +// Inputs z[2*k], m[k], w; outputs function return (extra result bit) and z[2*k] +// +// extern uint64_t bignum_emontredc_8n(uint64_t k, uint64_t *z, const uint64_t *m, +// uint64_t w); +// +// Functionally equivalent to bignum_emontredc (see that file for more detail). +// But in general assumes that the input k is a multiple of 8. +// +// Standard x86-64 ABI: RDI = k, RSI = z, RDX = m, RCX = w, returns RAX +// Microsoft x64 ABI: RCX = k, RDX = z, R8 = m, R9 = w, returns RAX +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_emontredc_8n) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_emontredc_8n) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_emontredc_8n) + .text + .balign 32 + +// Original input parameters are here + +#define z %rsi +#define w %rcx + +// This is copied in early once we stash away k + +#define m %rdi + +// A variable z pointer + +#define zz %rbp + +// Stack-based variables + +#define carry (%rsp) +#define innercount 8(%rsp) +#define outercount 16(%rsp) +#define k8m1 24(%rsp) + +// ----------------------------------------------------------------------------- +// Standard macros as used in pure multiplier arrays +// ----------------------------------------------------------------------------- + +// mulpadd i, j adds z[i] * rdx (now assumed = m[j]) into the window at i+j + +.macro mulpadd arg1,arg2 + mulxq 8*\arg1(z), %rax, %rbx +.if ((\arg1 + \arg2) % 8 == 0) + adcxq %rax, %r8 + adoxq %rbx, %r9 +.elseif ((\arg1 + \arg2) % 8 == 1) + adcxq %rax, %r9 + adoxq %rbx, %r10 +.elseif ((\arg1 + \arg2) % 8 == 2) + adcxq %rax, %r10 + adoxq %rbx, %r11 +.elseif ((\arg1 + \arg2) % 8 == 3) + adcxq %rax, %r11 + adoxq %rbx, %r12 +.elseif ((\arg1 + \arg2) % 8 == 4) + adcxq %rax, %r12 + adoxq %rbx, %r13 +.elseif ((\arg1 + \arg2) % 8 == 5) + adcxq %rax, %r13 + adoxq %rbx, %r14 +.elseif ((\arg1 + \arg2) % 8 == 6) + adcxq %rax, %r14 + adoxq %rbx, %r15 +.elseif ((\arg1 + \arg2) % 8 == 7) + adcxq %rax, %r15 + adoxq %rbx, %r8 +.endif + +.endm + +// addrow i adds z[i] + zz[0..7] * m[j] into the window + +.macro addrow arg1 + movq 8*\arg1(m), %rdx + xorl %eax, %eax // Get a known flag state + +.if (\arg1 % 8 == 0) + adoxq 8*\arg1(zz), %r8 +.elseif (\arg1 % 8 == 1) + adoxq 8*\arg1(zz), %r9 +.elseif (\arg1 % 8 == 2) + adoxq 8*\arg1(zz), %r10 +.elseif (\arg1 % 8 == 3) + adoxq 8*\arg1(zz), %r11 +.elseif (\arg1 % 8 == 4) + adoxq 8*\arg1(zz), %r12 +.elseif (\arg1 % 8 == 5) + adoxq 8*\arg1(zz), %r13 +.elseif (\arg1 % 8 == 6) + adoxq 8*\arg1(zz), %r14 +.elseif (\arg1 % 8 == 7) + adoxq 8*\arg1(zz), %r15 +.endif + + mulpadd 0, \arg1 + +.if (\arg1 % 8 == 0) + movq %r8, 8*\arg1(zz) + movl $0, %r8d +.elseif (\arg1 % 8 == 1) + movq %r9, 8*\arg1(zz) + movl $0, %r9d +.elseif (\arg1 % 8 == 2) + movq %r10, 8*\arg1(zz) + movl $0, %r10d +.elseif (\arg1 % 8 == 3) + movq %r11, 8*\arg1(zz) + movl $0, %r11d +.elseif (\arg1 % 8 == 4) + movq %r12, 8*\arg1(zz) + movl $0, %r12d +.elseif (\arg1 % 8 == 5) + movq %r13, 8*\arg1(zz) + movl $0, %r13d +.elseif (\arg1 % 8 == 6) + movq %r14, 8*\arg1(zz) + movl $0, %r14d +.elseif (\arg1 % 8 == 7) + movq %r15, 8*\arg1(zz) + movl $0, %r15d +.endif + + mulpadd 1, \arg1 + mulpadd 2, \arg1 + mulpadd 3, \arg1 + mulpadd 4, \arg1 + mulpadd 5, \arg1 + mulpadd 6, \arg1 + mulpadd 7, \arg1 + +.if (\arg1 % 8 == 0) + adcq $0, %r8 +.elseif (\arg1 % 8 == 1) + adcq $0, %r9 +.elseif (\arg1 % 8 == 2) + adcq $0, %r10 +.elseif (\arg1 % 8 == 3) + adcq $0, %r11 +.elseif (\arg1 % 8 == 4) + adcq $0, %r12 +.elseif (\arg1 % 8 == 5) + adcq $0, %r13 +.elseif (\arg1 % 8 == 6) + adcq $0, %r14 +.elseif (\arg1 % 8 == 7) + adcq $0, %r15 +.endif + + +.endm + +// ----------------------------------------------------------------------------- +// Anti-matter versions with z and m switched, and also not writing back the z +// words, but the inverses instead, *and* also adding in the z[0..7] at the +// beginning. The aim is to use this in Montgomery where we discover z[j] +// entries as we go along. +// ----------------------------------------------------------------------------- + +.macro mulpadda arg1,arg2 + mulxq 8*\arg1(m), %rax, %rbx +.if ((\arg1 + \arg2) % 8 == 0) + adcxq %rax, %r8 + adoxq %rbx, %r9 +.elseif ((\arg1 + \arg2) % 8 == 1) + adcxq %rax, %r9 + adoxq %rbx, %r10 +.elseif ((\arg1 + \arg2) % 8 == 2) + adcxq %rax, %r10 + adoxq %rbx, %r11 +.elseif ((\arg1 + \arg2) % 8 == 3) + adcxq %rax, %r11 + adoxq %rbx, %r12 +.elseif ((\arg1 + \arg2) % 8 == 4) + adcxq %rax, %r12 + adoxq %rbx, %r13 +.elseif ((\arg1 + \arg2) % 8 == 5) + adcxq %rax, %r13 + adoxq %rbx, %r14 +.elseif ((\arg1 + \arg2) % 8 == 6) + adcxq %rax, %r14 + adoxq %rbx, %r15 +.elseif ((\arg1 + \arg2) % 8 == 7) + adcxq %rax, %r15 + adoxq %rbx, %r8 +.endif + +.endm + +.macro adurowa arg1 + movq w, %rdx // Get the word-level modular inverse + xorl %eax, %eax // Get a known flag state +.if (\arg1 % 8 == 0) + mulxq %r8, %rdx, %rax +.elseif (\arg1 % 8 == 1) + mulxq %r9, %rdx, %rax +.elseif (\arg1 % 8 == 2) + mulxq %r10, %rdx, %rax +.elseif (\arg1 % 8 == 3) + mulxq %r11, %rdx, %rax +.elseif (\arg1 % 8 == 4) + mulxq %r12, %rdx, %rax +.elseif (\arg1 % 8 == 5) + mulxq %r13, %rdx, %rax +.elseif (\arg1 % 8 == 6) + mulxq %r14, %rdx, %rax +.elseif (\arg1 % 8 == 7) + mulxq %r15, %rdx, %rax +.endif + + movq %rdx, 8*\arg1(z) // Store multiplier word + + mulpadda 0, \arg1 + + // Note that the bottom reg of the window is zero by construction + // So it's safe just to use "mulpadda 7" here + + mulpadda 1, \arg1 + mulpadda 2, \arg1 + mulpadda 3, \arg1 + mulpadda 4, \arg1 + mulpadda 5, \arg1 + mulpadda 6, \arg1 + mulpadda 7, \arg1 // window lowest = 0 beforehand by construction + +.if (\arg1 % 8 == 0) + adcq $0, %r8 +.elseif (\arg1 % 8 == 1) + adcq $0, %r9 +.elseif (\arg1 % 8 == 2) + adcq $0, %r10 +.elseif (\arg1 % 8 == 3) + adcq $0, %r11 +.elseif (\arg1 % 8 == 4) + adcq $0, %r12 +.elseif (\arg1 % 8 == 5) + adcq $0, %r13 +.elseif (\arg1 % 8 == 6) + adcq $0, %r14 +.elseif (\arg1 % 8 == 7) + adcq $0, %r15 +.endif + +.endm + +.macro adurowza + movq w, %rdx // Get the word-level modular inverse + xorl %eax, %eax // Get a known flag state + + movq (z), %r8 // %r8 = zeroth word + mulxq %r8, %rdx, %rax // Compute multiplier word + movq %rdx, (z) // Store multiplier word + movq 8(z), %r9 + + mulpadda 0, 0 + movq 16(z), %r10 + mulpadda 1, 0 + movq 24(z), %r11 + mulpadda 2, 0 + movq 32(z), %r12 + mulpadda 3, 0 + movq 40(z), %r13 + mulpadda 4, 0 + movq 48(z), %r14 + mulpadda 5, 0 + movq 56(z), %r15 + mulpadda 6, 0 + mulpadda 7, 0 // r8 = 0 beforehand by construction + adcq $0, %r8 +.endm + +// ----------------------------------------------------------------------------- +// Hybrid top, doing an 8 block specially then multiple additional 8 blocks +// ----------------------------------------------------------------------------- + +// Multiply-add: z := z + x[i...i+7] * m + +.macro addrows + + adurowza + adurowa 1 + adurowa 2 + adurowa 3 + adurowa 4 + adurowa 5 + adurowa 6 + adurowa 7 + + movq z, zz + + movq k8m1, %rax + testq %rax, %rax + jz Lbignum_emontredc_8n_innerend + movq %rax, innercount +Lbignum_emontredc_8n_innerloop: + addq $64, zz + addq $64, m + addrow 0 + addrow 1 + addrow 2 + addrow 3 + addrow 4 + addrow 5 + addrow 6 + addrow 7 + subq $64, innercount + jnz Lbignum_emontredc_8n_innerloop + + movq k8m1, %rax +Lbignum_emontredc_8n_innerend: + subq %rax, m + + movq carry, %rbx + negq %rbx + adcq %r8, 64(z,%rax,1) + adcq %r9, 72(z,%rax,1) + adcq %r10, 80(z,%rax,1) + adcq %r11, 88(z,%rax,1) + adcq %r12, 96(z,%rax,1) + adcq %r13, 104(z,%rax,1) + adcq %r14, 112(z,%rax,1) + adcq %r15, 120(z,%rax,1) + movl $0, %eax + adcq $0, %rax + movq %rax, carry +.endm + +// ----------------------------------------------------------------------------- +// Main code. +// ----------------------------------------------------------------------------- + +S2N_BN_SYMBOL(bignum_emontredc_8n): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx + movq %r9, %rcx +#endif + +// Save more registers to play with + + CFI_PUSH(%rbp) + CFI_PUSH(%rbx) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + +// Pre-initialize the return value to 0 just in case of early exit below + + xorl %eax, %eax + +// Divide the input k by 8, and push k8m1 = (k/8 - 1)<<6 which is used as +// the scaled inner loop counter / pointer adjustment repeatedly. Also push +// k/8 itself which is here initializing the outer loop count. + + shrq $3, %rdi + jz Lbignum_emontredc_8n_end + + leaq -1(%rdi), %rbx + shlq $6, %rbx + CFI_PUSH(%rbx) + CFI_PUSH(%rdi) + +// Make space for two more variables, and set between-stages carry to 0 + + CFI_DEC_RSP(16) + movq $0, carry + +// Copy m into its main home + + movq %rdx, m + +// Now just systematically add in the rows + +Lbignum_emontredc_8n_outerloop: + addrows + addq $64, z + subq $1, outercount + jnz Lbignum_emontredc_8n_outerloop + +// Pop the carry-out "p", which was stored at [%rsp], put in %rax for return + + CFI_POP(%rax) + +// Adjust the stack + + CFI_INC_RSP(24) + +// Reset of epilog + +Lbignum_emontredc_8n_end: + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbx) + CFI_POP(%rbp) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_emontredc_8n) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_inv_p521.S b/cbits/s2n/x86_att/bignum_inv_p521.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_inv_p521.S @@ -0,0 +1,2093 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Modular inverse modulo p_521 = 2^521 - 1 +// Input x[9]; output z[9] +// +// extern void bignum_inv_p521(uint64_t z[static 9],const uint64_t x[static 9]); +// +// Assuming the 9-digit input x is coprime to p_521, i.e. is not divisible +// by it, returns z < p_521 such that x * z == 1 (mod p_521). Note that +// x does not need to be reduced modulo p_521, but the output always is. +// +// Standard x86-64 ABI: RDI = z, RSI = x +// Microsoft x64 ABI: RCX = z, RDX = x +// ---------------------------------------------------------------------------- +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_inv_p521) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_inv_p521) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_inv_p521) + .text + .balign 32 + +// Size in bytes of a 64-bit word + +#define N 8 + +// Pointer-offset pairs for temporaries on stack + +#define f 0(%rsp) +#define g (9*N)(%rsp) +#define u (18*N)(%rsp) +#define v (27*N)(%rsp) +#define tmp (36*N)(%rsp) +#define tmp2 (37*N)(%rsp) +#define i (38*N)(%rsp) +#define d (39*N)(%rsp) + +#define mat (40*N)(%rsp) + +// Backup for the input pointer + +#define res (44*N)(%rsp) + +// Total size to reserve on the stack + +#define NSPACE 45*N + +// Syntactic variants to make x86_att version simpler to generate + +#define F 0 +#define G (9*N) +#define U (18*N) +#define V (27*N) +#define MAT (40*N) + +#define ff (%rsp) +#define gg (9*N)(%rsp) + +// Very similar to a subroutine call to the s2n-bignum word_divstep59. +// But different in register usage and returning the final matrix as +// +// [ %r8 %r10] +// [ %r12 %r14] +// +// and also returning the matrix still negated (which doesn't matter) + +#define divstep59(din,fin,gin) \ + movq din, %rsi ; \ + movq fin, %rdx ; \ + movq gin, %rcx ; \ + movq %rdx, %rbx ; \ + andq $0xfffff, %rbx ; \ + movabsq $0xfffffe0000000000, %rax ; \ + orq %rax, %rbx ; \ + andq $0xfffff, %rcx ; \ + movabsq $0xc000000000000000, %rax ; \ + orq %rax, %rcx ; \ + movq $0xfffffffffffffffe, %rax ; \ + xorl %ebp, %ebp ; \ + movl $0x2, %edx ; \ + movq %rbx, %rdi ; \ + movq %rax, %r8 ; \ + testq %rsi, %rsi ; \ + cmovs %rbp, %r8 ; \ + testq $0x1, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + sarq $1, %rcx ; \ + movl $0x100000, %eax ; \ + leaq (%rbx,%rax), %rdx ; \ + leaq (%rcx,%rax), %rdi ; \ + shlq $0x16, %rdx ; \ + shlq $0x16, %rdi ; \ + sarq $0x2b, %rdx ; \ + sarq $0x2b, %rdi ; \ + movabsq $0x20000100000, %rax ; \ + leaq (%rbx,%rax), %rbx ; \ + leaq (%rcx,%rax), %rcx ; \ + sarq $0x2a, %rbx ; \ + sarq $0x2a, %rcx ; \ + movq %rdx, MAT(%rsp) ; \ + movq %rbx, MAT+0x8(%rsp) ; \ + movq %rdi, MAT+0x10(%rsp) ; \ + movq %rcx, MAT+0x18(%rsp) ; \ + movq fin, %r12 ; \ + imulq %r12, %rdi ; \ + imulq %rdx, %r12 ; \ + movq gin, %r13 ; \ + imulq %r13, %rbx ; \ + imulq %rcx, %r13 ; \ + addq %rbx, %r12 ; \ + addq %rdi, %r13 ; \ + sarq $0x14, %r12 ; \ + sarq $0x14, %r13 ; \ + movq %r12, %rbx ; \ + andq $0xfffff, %rbx ; \ + movabsq $0xfffffe0000000000, %rax ; \ + orq %rax, %rbx ; \ + movq %r13, %rcx ; \ + andq $0xfffff, %rcx ; \ + movabsq $0xc000000000000000, %rax ; \ + orq %rax, %rcx ; \ + movq $0xfffffffffffffffe, %rax ; \ + movl $0x2, %edx ; \ + movq %rbx, %rdi ; \ + movq %rax, %r8 ; \ + testq %rsi, %rsi ; \ + cmovs %rbp, %r8 ; \ + testq $0x1, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + sarq $1, %rcx ; \ + movl $0x100000, %eax ; \ + leaq (%rbx,%rax), %r8 ; \ + leaq (%rcx,%rax), %r10 ; \ + shlq $0x16, %r8 ; \ + shlq $0x16, %r10 ; \ + sarq $0x2b, %r8 ; \ + sarq $0x2b, %r10 ; \ + movabsq $0x20000100000, %rax ; \ + leaq (%rbx,%rax), %r15 ; \ + leaq (%rcx,%rax), %r11 ; \ + sarq $0x2a, %r15 ; \ + sarq $0x2a, %r11 ; \ + movq %r13, %rbx ; \ + movq %r12, %rcx ; \ + imulq %r8, %r12 ; \ + imulq %r15, %rbx ; \ + addq %rbx, %r12 ; \ + imulq %r11, %r13 ; \ + imulq %r10, %rcx ; \ + addq %rcx, %r13 ; \ + sarq $0x14, %r12 ; \ + sarq $0x14, %r13 ; \ + movq %r12, %rbx ; \ + andq $0xfffff, %rbx ; \ + movabsq $0xfffffe0000000000, %rax ; \ + orq %rax, %rbx ; \ + movq %r13, %rcx ; \ + andq $0xfffff, %rcx ; \ + movabsq $0xc000000000000000, %rax ; \ + orq %rax, %rcx ; \ + movq MAT(%rsp), %rax ; \ + imulq %r8, %rax ; \ + movq MAT+0x10(%rsp), %rdx ; \ + imulq %r15, %rdx ; \ + imulq MAT+0x8(%rsp), %r8 ; \ + imulq MAT+0x18(%rsp), %r15 ; \ + addq %r8, %r15 ; \ + leaq (%rax,%rdx), %r9 ; \ + movq MAT(%rsp), %rax ; \ + imulq %r10, %rax ; \ + movq MAT+0x10(%rsp), %rdx ; \ + imulq %r11, %rdx ; \ + imulq MAT+0x8(%rsp), %r10 ; \ + imulq MAT+0x18(%rsp), %r11 ; \ + addq %r10, %r11 ; \ + leaq (%rax,%rdx), %r13 ; \ + movq $0xfffffffffffffffe, %rax ; \ + movl $0x2, %edx ; \ + movq %rbx, %rdi ; \ + movq %rax, %r8 ; \ + testq %rsi, %rsi ; \ + cmovs %rbp, %r8 ; \ + testq $0x1, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + sarq $1, %rcx ; \ + movl $0x100000, %eax ; \ + leaq (%rbx,%rax), %r8 ; \ + leaq (%rcx,%rax), %r12 ; \ + shlq $0x15, %r8 ; \ + shlq $0x15, %r12 ; \ + sarq $0x2b, %r8 ; \ + sarq $0x2b, %r12 ; \ + movabsq $0x20000100000, %rax ; \ + leaq (%rbx,%rax), %r10 ; \ + leaq (%rcx,%rax), %r14 ; \ + sarq $0x2b, %r10 ; \ + sarq $0x2b, %r14 ; \ + movq %r9, %rax ; \ + imulq %r8, %rax ; \ + movq %r13, %rdx ; \ + imulq %r10, %rdx ; \ + imulq %r15, %r8 ; \ + imulq %r11, %r10 ; \ + addq %r8, %r10 ; \ + leaq (%rax,%rdx), %r8 ; \ + movq %r9, %rax ; \ + imulq %r12, %rax ; \ + movq %r13, %rdx ; \ + imulq %r14, %rdx ; \ + imulq %r15, %r12 ; \ + imulq %r11, %r14 ; \ + addq %r12, %r14 ; \ + leaq (%rax,%rdx), %r12 + +S2N_BN_SYMBOL(bignum_inv_p521): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi +#endif + +// Save registers and make room for temporaries + + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + + CFI_DEC_RSP(NSPACE) + +// Save the return pointer for the end so we can overwrite %rdi later + + movq %rdi, res + +// Copy the prime p_521 = 2^521 - 1 into the f variable + + xorl %eax, %eax + notq %rax + movq %rax, F(%rsp) + movq %rax, F+8(%rsp) + movq %rax, F+16(%rsp) + movq %rax, F+24(%rsp) + movq %rax, F+32(%rsp) + movq %rax, F+40(%rsp) + movq %rax, F+48(%rsp) + movq %rax, F+56(%rsp) + movl $0x1FF, %eax + movq %rax, F+64(%rsp) + +// Copy the input into the g variable, but reduce it strictly mod p_521 +// so that g <= f as assumed in the bound proof. This code fragment is +// very similar to bignum_mod_p521_9. + + movq 64(%rsi), %r8 + movl $0x1FF, %ebx + andq %r8, %rbx + shrq $9, %r8 + + stc + adcq (%rsi), %r8 + movq 8(%rsi), %r9 + adcq $0, %r9 + movq 16(%rsi), %r10 + adcq $0, %r10 + movq 24(%rsi), %r11 + adcq $0, %r11 + movq 32(%rsi), %r12 + adcq $0, %r12 + movq 40(%rsi), %r13 + adcq $0, %r13 + movq 48(%rsi), %r14 + adcq $0, %r14 + movq 56(%rsi), %r15 + adcq $0, %r15 + adcq $0, %rbx + + cmpq $512, %rbx + + sbbq $0, %r8 + movq %r8, G(%rsp) + sbbq $0, %r9 + movq %r9, G+8(%rsp) + sbbq $0, %r10 + movq %r10, G+16(%rsp) + sbbq $0, %r11 + movq %r11, G+24(%rsp) + sbbq $0, %r12 + movq %r12, G+32(%rsp) + sbbq $0, %r13 + movq %r13, G+40(%rsp) + sbbq $0, %r14 + movq %r14, G+48(%rsp) + sbbq $0, %r15 + movq %r15, G+56(%rsp) + sbbq $0, %rbx + andq $0x1FF, %rbx + movq %rbx, G+64(%rsp) + +// Also maintain weakly reduced < 2*p_521 vector [u,v] such that +// [f,g] == x * 2^{1239-59*i} * [u,v] (mod p_521) +// starting with [p_521,x] == x * 2^{1239-59*0} * [0,2^-1239] (mod p_521) +// Note that because (2^{a+521} == 2^a) (mod p_521) we simply have +// (2^-1239 == 2^324) (mod p_521) so the constant initializer is simple. +// +// Based on the standard divstep bound, for inputs <= 2^b we need at least +// n >= (9437 * b + 1) / 4096. Since b is 521, that means 1201 iterations. +// Since we package divstep in multiples of 59 bits, we do 21 blocks of 59 +// making *1239* total. (With a bit more effort we could avoid the full 59 +// divsteps and use a shorter tail computation, but we keep it simple.) +// Hence, after the 21st iteration we have [f,g] == x * [u,v] and since +// |f| = 1 we get the modular inverse from u by flipping its sign with f. + + xorl %eax, %eax + movq %rax, U(%rsp) + movq %rax, U+8(%rsp) + movq %rax, U+16(%rsp) + movq %rax, U+24(%rsp) + movq %rax, U+32(%rsp) + movq %rax, U+40(%rsp) + movq %rax, U+48(%rsp) + movq %rax, U+56(%rsp) + movq %rax, U+64(%rsp) + + movl $16, %ebx + movq %rax, V(%rsp) + movq %rax, V+8(%rsp) + movq %rax, V+16(%rsp) + movq %rax, V+24(%rsp) + movq %rax, V+32(%rsp) + movq %rbx, V+40(%rsp) + movq %rax, V+48(%rsp) + movq %rax, V+56(%rsp) + movq %rax, V+64(%rsp) + +// Start of main loop. We jump into the middle so that the divstep +// portion is common to the special 21st iteration after a uniform +// first 20. + + movq $21, i + movq $1, d + jmp Lbignum_inv_p521_midloop + +Lbignum_inv_p521_loop: + +// Separate out the matrix into sign-magnitude pairs + + movq %r8, %r9 + sarq $63, %r9 + xorq %r9, %r8 + subq %r9, %r8 + + movq %r10, %r11 + sarq $63, %r11 + xorq %r11, %r10 + subq %r11, %r10 + + movq %r12, %r13 + sarq $63, %r13 + xorq %r13, %r12 + subq %r13, %r12 + + movq %r14, %r15 + sarq $63, %r15 + xorq %r15, %r14 + subq %r15, %r14 + +// Adjust the initial values to allow for complement instead of negation +// This initial offset is the same for [f,g] and [u,v] compositions. +// Save it in temporary storage for the [u,v] part and do [f,g] first. + + movq %r8, %rax + andq %r9, %rax + movq %r10, %rdi + andq %r11, %rdi + addq %rax, %rdi + movq %rdi, tmp + + movq %r12, %rax + andq %r13, %rax + movq %r14, %rsi + andq %r15, %rsi + addq %rax, %rsi + movq %rsi, tmp2 + +// Now the computation of the updated f and g values. This maintains a +// 2-word carry between stages so we can conveniently insert the shift +// right by 59 before storing back, and not overwrite digits we need +// again of the old f and g values. +// +// Digit 0 of [f,g] + + xorl %ebx, %ebx + movq F(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rdi + adcq %rdx, %rbx + movq G(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rdi + adcq %rdx, %rbx + + xorl %ebp, %ebp + movq F(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rbp + movq G(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + +// Digit 1 of [f,g] + + xorl %ecx, %ecx + movq F+N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq G+N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + shrdq $59, %rbx, %rdi + movq %rdi, F(%rsp) + + xorl %edi, %edi + movq F+N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rbp + adcq %rdx, %rdi + movq G+N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rdi + shrdq $59, %rbp, %rsi + movq %rsi, G(%rsp) + +// Digit 2 of [f,g] + + xorl %esi, %esi + movq F+2*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rsi + movq G+2*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rsi + shrdq $59, %rcx, %rbx + movq %rbx, F+N(%rsp) + + xorl %ebx, %ebx + movq F+2*N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rdi + adcq %rdx, %rbx + movq G+2*N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rdi + adcq %rdx, %rbx + shrdq $59, %rdi, %rbp + movq %rbp, G+N(%rsp) + +// Digit 3 of [f,g] + + xorl %ebp, %ebp + movq F+3*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rsi + adcq %rdx, %rbp + movq G+3*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rsi + adcq %rdx, %rbp + shrdq $59, %rsi, %rcx + movq %rcx, F+2*N(%rsp) + + xorl %ecx, %ecx + movq F+3*N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rbx + adcq %rdx, %rcx + movq G+3*N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbx + adcq %rdx, %rcx + shrdq $59, %rbx, %rdi + movq %rdi, G+2*N(%rsp) + +// Digit 4 of [f,g] + + xorl %edi, %edi + movq F+4*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbp + adcq %rdx, %rdi + movq G+4*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbp + adcq %rdx, %rdi + shrdq $59, %rbp, %rsi + movq %rsi, F+3*N(%rsp) + + xorl %esi, %esi + movq F+4*N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rcx + adcq %rdx, %rsi + movq G+4*N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rcx + adcq %rdx, %rsi + shrdq $59, %rcx, %rbx + movq %rbx, G+3*N(%rsp) + +// Digit 5 of [f,g] + + xorl %ebx, %ebx + movq F+5*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rdi + adcq %rdx, %rbx + movq G+5*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rdi + adcq %rdx, %rbx + shrdq $59, %rdi, %rbp + movq %rbp, F+4*N(%rsp) + + xorl %ebp, %ebp + movq F+5*N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rbp + movq G+5*N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + shrdq $59, %rsi, %rcx + movq %rcx, G+4*N(%rsp) + +// Digit 6 of [f,g] + + xorl %ecx, %ecx + movq F+6*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq G+6*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + shrdq $59, %rbx, %rdi + movq %rdi, F+5*N(%rsp) + + xorl %edi, %edi + movq F+6*N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rbp + adcq %rdx, %rdi + movq G+6*N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rdi + shrdq $59, %rbp, %rsi + movq %rsi, G+5*N(%rsp) + +// Digit 7 of [f,g] + + xorl %esi, %esi + movq F+7*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rsi + movq G+7*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rsi + shrdq $59, %rcx, %rbx + movq %rbx, F+6*N(%rsp) + + xorl %ebx, %ebx + movq F+7*N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rdi + adcq %rdx, %rbx + movq G+7*N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rdi + adcq %rdx, %rbx + shrdq $59, %rdi, %rbp + movq %rbp, G+6*N(%rsp) + +// Digits 8 and 9 of [f,g] + + movq F+8*N(%rsp), %rax + xorq %r9, %rax + movq %rax, %rbp + sarq $63, %rbp + andq %r8, %rbp + negq %rbp + mulq %r8 + addq %rax, %rsi + adcq %rdx, %rbp + movq G+8*N(%rsp), %rax + xorq %r11, %rax + movq %rax, %rdx + sarq $63, %rdx + andq %r10, %rdx + subq %rdx, %rbp + mulq %r10 + addq %rax, %rsi + adcq %rdx, %rbp + shrdq $59, %rsi, %rcx + movq %rcx, F+7*N(%rsp) + shrdq $59, %rbp, %rsi + + movq F+8*N(%rsp), %rax + movq %rsi, F+8*N(%rsp) + + xorq %r13, %rax + movq %rax, %rsi + sarq $63, %rsi + andq %r12, %rsi + negq %rsi + mulq %r12 + addq %rax, %rbx + adcq %rdx, %rsi + movq G+8*N(%rsp), %rax + xorq %r15, %rax + movq %rax, %rdx + sarq $63, %rdx + andq %r14, %rdx + subq %rdx, %rsi + mulq %r14 + addq %rax, %rbx + adcq %rdx, %rsi + shrdq $59, %rbx, %rdi + movq %rdi, G+7*N(%rsp) + shrdq $59, %rsi, %rbx + movq %rbx, G+8*N(%rsp) + +// Get the initial carries back from storage and do the [u,v] accumulation + + movq tmp, %rbx + movq tmp2, %rbp + +// Digit 0 of [u,v] + + xorl %ecx, %ecx + movq U(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq V(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + + xorl %esi, %esi + movq U(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, U(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq V(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, V(%rsp) + +// Digit 1 of [u,v] + + xorl %ebx, %ebx + movq U+N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq V+N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rbx + + xorl %ebp, %ebp + movq U+N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rcx, U+N(%rsp) + addq %rax, %rsi + adcq %rdx, %rbp + movq V+N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + movq %rsi, V+N(%rsp) + +// Digit 2 of [u,v] + + xorl %ecx, %ecx + movq U+2*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq V+2*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + + xorl %esi, %esi + movq U+2*N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, U+2*N(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq V+2*N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, V+2*N(%rsp) + +// Digit 3 of [u,v] + + xorl %ebx, %ebx + movq U+3*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq V+3*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rbx + + xorl %ebp, %ebp + movq U+3*N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rcx, U+3*N(%rsp) + addq %rax, %rsi + adcq %rdx, %rbp + movq V+3*N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + movq %rsi, V+3*N(%rsp) + +// Digit 4 of [u,v] + + xorl %ecx, %ecx + movq U+4*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq V+4*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + + xorl %esi, %esi + movq U+4*N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, U+4*N(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq V+4*N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, V+4*N(%rsp) + +// Digit 5 of [u,v] + + xorl %ebx, %ebx + movq U+5*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq V+5*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rbx + + xorl %ebp, %ebp + movq U+5*N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rcx, U+5*N(%rsp) + addq %rax, %rsi + adcq %rdx, %rbp + movq V+5*N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + movq %rsi, V+5*N(%rsp) + +// Digit 6 of [u,v] + + xorl %ecx, %ecx + movq U+6*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq V+6*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + + xorl %esi, %esi + movq U+6*N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, U+6*N(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq V+6*N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, V+6*N(%rsp) + +// Digit 7 of [u,v] + + xorl %ebx, %ebx + movq U+7*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq V+7*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rbx + + xorl %ebp, %ebp + movq U+7*N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rcx, U+7*N(%rsp) + addq %rax, %rsi + adcq %rdx, %rbp + movq V+7*N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + movq %rsi, V+7*N(%rsp) + +// Digits 8 and 9 of u (top is unsigned) + + movq U+8*N(%rsp), %rax + xorq %r9, %rax + movq %r9, %rcx + andq %r8, %rcx + negq %rcx + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq V+8*N(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %rcx + mulq %r10 + addq %rax, %rbx + adcq %rcx, %rdx + +// Modular reduction of u + + movq %rdx, %rax + shldq $55, %rbx, %rdx + sarq $63, %rax + addq %rax, %rdx + movq %rdx, %rax + shlq $9, %rdx + subq %rdx, %rbx + movq %rax, %rdx + sarq $63, %rax + movq U(%rsp), %rcx + addq %rdx, %rcx + movq %rcx, U(%rsp) + movq U+N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, U+N(%rsp) + movq U+2*N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, U+2*N(%rsp) + movq U+3*N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, U+3*N(%rsp) + movq U+4*N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, U+4*N(%rsp) + movq U+5*N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, U+5*N(%rsp) + movq U+6*N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, U+6*N(%rsp) + movq U+7*N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, U+7*N(%rsp) + adcq %rax, %rbx + +// Preload for last use of old u digit 8 + + movq U+8*N(%rsp), %rax + movq %rbx, U+8*N(%rsp) + +// Digits 8 and 9 of v (top is unsigned) + + xorq %r13, %rax + movq %r13, %rbx + andq %r12, %rbx + negq %rbx + mulq %r12 + addq %rax, %rbp + adcq %rdx, %rbx + movq V+8*N(%rsp), %rax + xorq %r15, %rax + movq %r15, %rdx + andq %r14, %rdx + subq %rdx, %rbx + mulq %r14 + addq %rax, %rbp + adcq %rbx, %rdx + +// Modular reduction of v + + movq %rdx, %rax + shldq $55, %rbp, %rdx + sarq $63, %rax + addq %rax, %rdx + movq %rdx, %rax + shlq $9, %rdx + subq %rdx, %rbp + movq %rax, %rdx + sarq $63, %rax + movq V(%rsp), %rcx + addq %rdx, %rcx + movq %rcx, V(%rsp) + movq V+N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, V+N(%rsp) + movq V+2*N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, V+2*N(%rsp) + movq V+3*N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, V+3*N(%rsp) + movq V+4*N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, V+4*N(%rsp) + movq V+5*N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, V+5*N(%rsp) + movq V+6*N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, V+6*N(%rsp) + movq V+7*N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, V+7*N(%rsp) + adcq %rax, %rbp + movq %rbp, V+8*N(%rsp) + +Lbignum_inv_p521_midloop: + + divstep59(d,ff,gg) + movq %rsi, d + +// Next iteration + + decq i + jnz Lbignum_inv_p521_loop + +// The 21st and last iteration does not need anything except the +// u value and the sign of f; the latter can be obtained from the +// lowest word of f. So it's done differently from the main loop. +// Find the sign of the new f. For this we just need one digit +// since we know (for in-scope cases) that f is either +1 or -1. +// We don't explicitly shift right by 59 either, but looking at +// bit 63 (or any bit >= 60) of the unshifted result is enough +// to distinguish -1 from +1; this is then made into a mask. + + movq F(%rsp), %rax + movq G(%rsp), %rcx + imulq %r8, %rax + imulq %r10, %rcx + addq %rcx, %rax + sarq $63, %rax + +// Now separate out the matrix into sign-magnitude pairs +// and adjust each one based on the sign of f. +// +// Note that at this point we expect |f|=1 and we got its +// sign above, so then since [f,0] == x * [u,v] (mod p_521) +// we want to flip the sign of u according to that of f. + + movq %r8, %r9 + sarq $63, %r9 + xorq %r9, %r8 + subq %r9, %r8 + xorq %rax, %r9 + + movq %r10, %r11 + sarq $63, %r11 + xorq %r11, %r10 + subq %r11, %r10 + xorq %rax, %r11 + + movq %r12, %r13 + sarq $63, %r13 + xorq %r13, %r12 + subq %r13, %r12 + xorq %rax, %r13 + + movq %r14, %r15 + sarq $63, %r15 + xorq %r15, %r14 + subq %r15, %r14 + xorq %rax, %r15 + +// Adjust the initial value to allow for complement instead of negation + + movq %r8, %rax + andq %r9, %rax + movq %r10, %rbx + andq %r11, %rbx + addq %rax, %rbx + +// Digit 0 of u + + xorl %ecx, %ecx + movq U(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq V(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + movq %rbx, U(%rsp) + adcq %rdx, %rcx + +// Digit 1 of u + + xorl %ebx, %ebx + movq U+N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq V+N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + movq %rcx, U+N(%rsp) + adcq %rdx, %rbx + +// Digit 2 of u + + xorl %ecx, %ecx + movq U+2*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq V+2*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + movq %rbx, U+2*N(%rsp) + adcq %rdx, %rcx + +// Digit 3 of u + + xorl %ebx, %ebx + movq U+3*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq V+3*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + movq %rcx, U+3*N(%rsp) + adcq %rdx, %rbx + +// Digit 4 of u + + xorl %ecx, %ecx + movq U+4*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq V+4*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + movq %rbx, U+4*N(%rsp) + adcq %rdx, %rcx + +// Digit 5 of u + + xorl %ebx, %ebx + movq U+5*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq V+5*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + movq %rcx, U+5*N(%rsp) + adcq %rdx, %rbx + +// Digit 6 of u + + xorl %ecx, %ecx + movq U+6*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq V+6*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + movq %rbx, U+6*N(%rsp) + adcq %rdx, %rcx + +// Digit 7 of u + + xorl %ebx, %ebx + movq U+7*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq V+7*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + movq %rcx, U+7*N(%rsp) + adcq %rdx, %rbx + +// Digits 8 and 9 of u (top is unsigned) + + movq U+8*N(%rsp), %rax + xorq %r9, %rax + movq %r9, %rcx + andq %r8, %rcx + negq %rcx + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq V+8*N(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %rcx + mulq %r10 + addq %rax, %rbx + adcq %rcx, %rdx + +// Modular reduction of u + + movq %rdx, %rax + shldq $55, %rbx, %rdx + sarq $63, %rax + addq %rax, %rdx + movq %rdx, %rax + shlq $9, %rdx + subq %rdx, %rbx + movq %rax, %rdx + sarq $63, %rax + movq U(%rsp), %rcx + addq %rdx, %rcx + movq %rcx, U(%rsp) + movq U+N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, U+N(%rsp) + movq U+2*N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, U+2*N(%rsp) + movq U+3*N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, U+3*N(%rsp) + movq U+4*N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, U+4*N(%rsp) + movq U+5*N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, U+5*N(%rsp) + movq U+6*N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, U+6*N(%rsp) + movq U+7*N(%rsp), %rcx + adcq %rax, %rcx + movq %rcx, U+7*N(%rsp) + adcq %rax, %rbx + movq %rbx, U+8*N(%rsp) + +// Further strict reduction ready for the output, which just means +// a conditional subtraction of p_521 + + xorl %eax, %eax + notq %rax + movq U(%rsp), %r8 + subq %rax, %r8 + movq U+N(%rsp), %r9 + sbbq %rax, %r9 + movq U+2*N(%rsp), %r10 + sbbq %rax, %r10 + movq U+3*N(%rsp), %r11 + sbbq %rax, %r11 + movq U+4*N(%rsp), %r12 + sbbq %rax, %r12 + movq U+5*N(%rsp), %r13 + sbbq %rax, %r13 + movq U+6*N(%rsp), %r14 + sbbq %rax, %r14 + movq U+7*N(%rsp), %r15 + sbbq %rax, %r15 + movl $0x1FF, %eax + movq U+8*N(%rsp), %rbp + sbbq %rax, %rbp + + cmovcq U(%rsp), %r8 + cmovcq U+N(%rsp), %r9 + cmovcq U+2*N(%rsp), %r10 + cmovcq U+3*N(%rsp), %r11 + cmovcq U+4*N(%rsp), %r12 + cmovcq U+5*N(%rsp), %r13 + cmovcq U+6*N(%rsp), %r14 + cmovcq U+7*N(%rsp), %r15 + cmovcq U+8*N(%rsp), %rbp + +// Store it back to the final output + + movq res, %rdi + movq %r8, (%rdi) + movq %r9, N(%rdi) + movq %r10, 2*N(%rdi) + movq %r11, 3*N(%rdi) + movq %r12, 4*N(%rdi) + movq %r13, 5*N(%rdi) + movq %r14, 6*N(%rdi) + movq %r15, 7*N(%rdi) + movq %rbp, 8*N(%rdi) + +// Restore stack and registers + + CFI_INC_RSP(NSPACE) + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_inv_p521) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_kmul_16_32.S b/cbits/s2n/x86_att/bignum_kmul_16_32.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_kmul_16_32.S @@ -0,0 +1,513 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Multiply z := x * y +// Inputs x[16], y[16]; output z[32]; temporary buffer t[>=32] +// +// extern void bignum_kmul_16_32(uint64_t z[static 32], +// const uint64_t x[static 16], +// const uint64_t y[static 16], +// uint64_t t[static 32]); +// +// In this x86 code the final temporary space argument t is unused, but +// it is retained in the prototype above for API consistency with ARM. +// +// Standard x86-64 ABI: RDI = z, RSI = x, RDX = y, RCX = t +// Microsoft x64 ABI: RCX = z, RDX = x, R8 = y, R9 = t +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_kmul_16_32) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_kmul_16_32) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_kmul_16_32) + .text + +// These parameters are kept where they come in + +#define z %rdi +#define x %rsi + +// This one gets moved to free up %rdx for muls + +#define y %rcx + +// Often used for zero + +#define zero %rbp +#define zeroe %ebp + +// mulpadd i, j adds x[i] * rdx (now assumed = y[j]) into the window at i+j + +.macro mulpadd arg1,arg2 + mulxq 8*\arg1(x), %rax, %rbx +.if ((\arg1 + \arg2) % 8 == 0) + adcxq %rax, %r8 + adoxq %rbx, %r9 +.elseif ((\arg1 + \arg2) % 8 == 1) + adcxq %rax, %r9 + adoxq %rbx, %r10 +.elseif ((\arg1 + \arg2) % 8 == 2) + adcxq %rax, %r10 + adoxq %rbx, %r11 +.elseif ((\arg1 + \arg2) % 8 == 3) + adcxq %rax, %r11 + adoxq %rbx, %r12 +.elseif ((\arg1 + \arg2) % 8 == 4) + adcxq %rax, %r12 + adoxq %rbx, %r13 +.elseif ((\arg1 + \arg2) % 8 == 5) + adcxq %rax, %r13 + adoxq %rbx, %r14 +.elseif ((\arg1 + \arg2) % 8 == 6) + adcxq %rax, %r14 + adoxq %rbx, %r15 +.elseif ((\arg1 + \arg2) % 8 == 7) + adcxq %rax, %r15 + adoxq %rbx, %r8 +.endif + +.endm + +// mulpade i, j adds x[i] * rdx (now assumed = y[j]) into the window at i+j +// but re-creates the top word assuming nothing to add there + +.macro mulpade arg1,arg2 +.if ((\arg1 + \arg2) % 8 == 0) + mulxq 8*\arg1(x), %rax, %r9 + adcxq %rax, %r8 + adoxq zero, %r9 +.elseif ((\arg1 + \arg2) % 8 == 1) + mulxq 8*\arg1(x), %rax, %r10 + adcxq %rax, %r9 + adoxq zero, %r10 +.elseif ((\arg1 + \arg2) % 8 == 2) + mulxq 8*\arg1(x), %rax, %r11 + adcxq %rax, %r10 + adoxq zero, %r11 +.elseif ((\arg1 + \arg2) % 8 == 3) + mulxq 8*\arg1(x), %rax, %r12 + adcxq %rax, %r11 + adoxq zero, %r12 +.elseif ((\arg1 + \arg2) % 8 == 4) + mulxq 8*\arg1(x), %rax, %r13 + adcxq %rax, %r12 + adoxq zero, %r13 +.elseif ((\arg1 + \arg2) % 8 == 5) + mulxq 8*\arg1(x), %rax, %r14 + adcxq %rax, %r13 + adoxq zero, %r14 +.elseif ((\arg1 + \arg2) % 8 == 6) + mulxq 8*\arg1(x), %rax, %r15 + adcxq %rax, %r14 + adoxq zero, %r15 +.elseif ((\arg1 + \arg2) % 8 == 7) + mulxq 8*\arg1(x), %rax, %r8 + adcxq %rax, %r15 + adoxq zero, %r8 +.endif + +.endm + +// addrow i adds z[i] + x[0..7] * y[i] into the window + +.macro addrow arg1 + movq 8*\arg1(y), %rdx + xorl zeroe, zeroe + +.if (\arg1 % 8 == 0) + adoxq 8*\arg1(z), %r8 +.elseif (\arg1 % 8 == 1) + adoxq 8*\arg1(z), %r9 +.elseif (\arg1 % 8 == 2) + adoxq 8*\arg1(z), %r10 +.elseif (\arg1 % 8 == 3) + adoxq 8*\arg1(z), %r11 +.elseif (\arg1 % 8 == 4) + adoxq 8*\arg1(z), %r12 +.elseif (\arg1 % 8 == 5) + adoxq 8*\arg1(z), %r13 +.elseif (\arg1 % 8 == 6) + adoxq 8*\arg1(z), %r14 +.elseif (\arg1 % 8 == 7) + adoxq 8*\arg1(z), %r15 +.endif + + mulpadd 0, \arg1 + +.if (\arg1 % 8 == 0) + movq %r8, 8*\arg1(z) +.elseif (\arg1 % 8 == 1) + movq %r9, 8*\arg1(z) +.elseif (\arg1 % 8 == 2) + movq %r10, 8*\arg1(z) +.elseif (\arg1 % 8 == 3) + movq %r11, 8*\arg1(z) +.elseif (\arg1 % 8 == 4) + movq %r12, 8*\arg1(z) +.elseif (\arg1 % 8 == 5) + movq %r13, 8*\arg1(z) +.elseif (\arg1 % 8 == 6) + movq %r14, 8*\arg1(z) +.elseif (\arg1 % 8 == 7) + movq %r15, 8*\arg1(z) +.endif + + mulpadd 1, \arg1 + mulpadd 2, \arg1 + mulpadd 3, \arg1 + mulpadd 4, \arg1 + mulpadd 5, \arg1 + mulpadd 6, \arg1 + mulpade 7, \arg1 + +.if (\arg1 % 8 == 0) + adcq zero, %r8 +.elseif (\arg1 % 8 == 1) + adcq zero, %r9 +.elseif (\arg1 % 8 == 2) + adcq zero, %r10 +.elseif (\arg1 % 8 == 3) + adcq zero, %r11 +.elseif (\arg1 % 8 == 4) + adcq zero, %r12 +.elseif (\arg1 % 8 == 5) + adcq zero, %r13 +.elseif (\arg1 % 8 == 6) + adcq zero, %r14 +.elseif (\arg1 % 8 == 7) + adcq zero, %r15 +.endif + +.endm + +// Special zero version of addrow, setting up the window from scratch + +.macro addrowz + movq (y), %rdx + xorl zeroe, zeroe + + mulxq (x), %rax, %r9 + adcq %rax, (z) + + mulxq 8(x), %rax, %r10 + adcq %rax, %r9 + + mulxq 16(x), %rax, %r11 + adcq %rax, %r10 + + mulxq 24(x), %rax, %r12 + adcq %rax, %r11 + + mulxq 32(x), %rax, %r13 + adcq %rax, %r12 + + mulxq 40(x), %rax, %r14 + adcq %rax, %r13 + + mulxq 48(x), %rax, %r15 + adcq %rax, %r14 + + mulxq 56(x), %rax, %r8 + adcq %rax, %r15 + + adcq zero, %r8 +.endm + +// This is a variant where we add the initial z[0..7] at the outset. +// This makes the initialization process a bit less wasteful. By doing +// a block of 8 we get the same effect except that we add z[0..7] +// +// adurow i adds 2^{7*64} * z[i+7] + x[0..7] * y[i] into the window + +.macro adurow arg1 + movq 8*\arg1(y), %rdx + xorl zeroe, zeroe + + mulpadd 0, \arg1 + +.if (\arg1 % 8 == 0) + movq %r8, 8*\arg1(z) +.elseif (\arg1 % 8 == 1) + movq %r9, 8*\arg1(z) +.elseif (\arg1 % 8 == 2) + movq %r10, 8*\arg1(z) +.elseif (\arg1 % 8 == 3) + movq %r11, 8*\arg1(z) +.elseif (\arg1 % 8 == 4) + movq %r12, 8*\arg1(z) +.elseif (\arg1 % 8 == 5) + movq %r13, 8*\arg1(z) +.elseif (\arg1 % 8 == 6) + movq %r14, 8*\arg1(z) +.elseif (\arg1 % 8 == 7) + movq %r15, 8*\arg1(z) +.endif + + mulpadd 1, \arg1 + mulpadd 2, \arg1 + mulpadd 3, \arg1 + mulpadd 4, \arg1 + mulpadd 5, \arg1 + mulpadd 6, \arg1 + mulpade 7, \arg1 + +.if (\arg1 % 8 == 0) + adcq zero, %r8 +.elseif (\arg1 % 8 == 1) + adcq zero, %r9 +.elseif (\arg1 % 8 == 2) + adcq zero, %r10 +.elseif (\arg1 % 8 == 3) + adcq zero, %r11 +.elseif (\arg1 % 8 == 4) + adcq zero, %r12 +.elseif (\arg1 % 8 == 5) + adcq zero, %r13 +.elseif (\arg1 % 8 == 6) + adcq zero, %r14 +.elseif (\arg1 % 8 == 7) + adcq zero, %r15 +.endif + +.endm + +// Special "adurow 0" case to do first stage + +.macro adurowz + movq (y), %rdx + xorl zeroe, zeroe + + movq (z), %r8 + movq 8(z), %r9 + + mulpadd 0, 0 + movq %r8, (z) + + movq 16(z), %r10 + mulpadd 1, 0 + movq 24(z), %r11 + mulpadd 2, 0 + movq 32(z), %r12 + mulpadd 3, 0 + movq 40(z), %r13 + mulpadd 4, 0 + movq 48(z), %r14 + mulpadd 5, 0 + movq 56(z), %r15 + mulpadd 6, 0 + + mulxq 56(x), %rax, %r8 + adcxq %rax, %r15 + adoxq zero, %r8 + adcxq zero, %r8 +.endm + +// Multiply-add: z := z + x[0..7] * y + +.macro addrows + adurowz + adurow 1 + adurow 2 + adurow 3 + adurow 4 + adurow 5 + adurow 6 + adurow 7 + addrow 8 + addrow 9 + addrow 10 + addrow 11 + addrow 12 + addrow 13 + addrow 14 + addrow 15 + + movq %r8, 128(z) + movq %r9, 136(z) + movq %r10, 144(z) + movq %r11, 152(z) + movq %r12, 160(z) + movq %r13, 168(z) + movq %r14, 176(z) + movq %r15, 184(z) + +.endm + +// mulrow i adds x[0..7] * y[i] into the window +// just like addrow but no addition of z[i] + +.macro mulrow arg1 + movq 8*\arg1(y), %rdx + xorl zeroe, zeroe + + mulpadd 0, \arg1 + +.if (\arg1 % 8 == 0) + movq %r8, 8*\arg1(z) +.elseif (\arg1 % 8 == 1) + movq %r9, 8*\arg1(z) +.elseif (\arg1 % 8 == 2) + movq %r10, 8*\arg1(z) +.elseif (\arg1 % 8 == 3) + movq %r11, 8*\arg1(z) +.elseif (\arg1 % 8 == 4) + movq %r12, 8*\arg1(z) +.elseif (\arg1 % 8 == 5) + movq %r13, 8*\arg1(z) +.elseif (\arg1 % 8 == 6) + movq %r14, 8*\arg1(z) +.elseif (\arg1 % 8 == 7) + movq %r15, 8*\arg1(z) +.endif + + mulpadd 1, \arg1 + mulpadd 2, \arg1 + mulpadd 3, \arg1 + mulpadd 4, \arg1 + mulpadd 5, \arg1 + mulpadd 6, \arg1 + mulpade 7, \arg1 + +.if (\arg1 % 8 == 0) + adcq zero, %r8 +.elseif (\arg1 % 8 == 1) + adcq zero, %r9 +.elseif (\arg1 % 8 == 2) + adcq zero, %r10 +.elseif (\arg1 % 8 == 3) + adcq zero, %r11 +.elseif (\arg1 % 8 == 4) + adcq zero, %r12 +.elseif (\arg1 % 8 == 5) + adcq zero, %r13 +.elseif (\arg1 % 8 == 6) + adcq zero, %r14 +.elseif (\arg1 % 8 == 7) + adcq zero, %r15 +.endif + + +.endm + +// Special zero version of mulrow, setting up the window from scratch + +.macro mulrowz + movq (y), %rdx + xorl zeroe, zeroe + + mulxq (x), %rax, %r9 + movq %rax, (z) + + mulxq 8(x), %rax, %r10 + adcxq %rax, %r9 + + mulxq 16(x), %rax, %r11 + adcxq %rax, %r10 + + mulxq 24(x), %rax, %r12 + adcxq %rax, %r11 + + mulxq 32(x), %rax, %r13 + adcxq %rax, %r12 + + mulxq 40(x), %rax, %r14 + adcxq %rax, %r13 + + mulxq 48(x), %rax, %r15 + adcxq %rax, %r14 + + mulxq 56(x), %rax, %r8 + adcxq %rax, %r15 + + adcq zero, %r8 +.endm + +// Multiply-add: z := x[0..7] * y plus window + +.macro mulrows + mulrowz + mulrow 1 + mulrow 2 + mulrow 3 + mulrow 4 + mulrow 5 + mulrow 6 + mulrow 7 + + mulrow 8 + mulrow 9 + mulrow 10 + mulrow 11 + mulrow 12 + mulrow 13 + mulrow 14 + mulrow 15 + + movq %r8, 128(z) + movq %r9, 136(z) + movq %r10, 144(z) + movq %r11, 152(z) + movq %r12, 160(z) + movq %r13, 168(z) + movq %r14, 176(z) + movq %r15, 184(z) + +.endm + + +S2N_BN_SYMBOL(bignum_kmul_16_32): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx +#endif + +// Save more registers to play with + + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + +// Move y into its permanent home, freeing up %rdx for its special role in muls + + movq %rdx, y + +// Do the zeroth row as a pure product then the next as multiply-add + + mulrows + + addq $64, z + addq $64, x + addrows + +// Restore registers and return + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_kmul_16_32) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_kmul_32_64.S b/cbits/s2n/x86_att/bignum_kmul_32_64.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_kmul_32_64.S @@ -0,0 +1,1161 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Multiply z := x * y +// Inputs x[32], y[32]; output z[64]; temporary buffer t[>=96] +// +// extern void bignum_kmul_32_64(uint64_t z[static 64], +// const uint64_t x[static 32], +// const uint64_t y[static 32], +// uint64_t t[static 96]); +// +// This is a Karatsuba-style function multiplying half-sized results +// internally and using temporary buffer t for intermediate results. The size +// of 96 is an overstatement for compatibility with the ARM version; it +// actually only uses 65 elements of t (64 + 1 for a stashed sign). +// +// Standard x86-64 ABI: RDI = z, RSI = x, RDX = y, RCX = t +// Microsoft x64 ABI: RCX = z, RDX = x, R8 = y, R9 = t +// ----------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_kmul_32_64) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_kmul_32_64) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_kmul_32_64) + + + .text + +#define K 16 + +#define z %rdi +#define x %rsi +#define y %rcx + +#define s %r9 + +// We re-use the y variable to point at t later on, when this seems clearer + +#define t %rcx + +S2N_BN_SYMBOL(bignum_kmul_32_64): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx + movq %r9, %rcx +#endif + +// Save callee-saved registers and also push t onto the stack; we'll +// use this space to back up both t and later z. Then move the y variable +// into its longer-term home for the first few stages. + + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + + CFI_PUSH(%rcx) + movq %rdx, y + +// Multiply the low halves + + CFI_CALL(Lbignum_kmul_32_64_local_bignum_kmul_16_32) + +// Multiply the high halves + + leaq 16*K-0x40(%rdi), %rdi + leaq 8*K-0x40(%rsi), %rsi + leaq 8*K(%rcx), %rcx + CFI_CALL(Lbignum_kmul_32_64_local_bignum_kmul_16_32) + +// Establish %r8 as the t pointer and use the cell to back up z now + + movq (%rsp), %r8 + subq $16*K+0x40, %rdi + movq %rdi, (%rsp) + +// Form |x_lo - x_hi| starting at t + + movq -8*K-0x40(%rsi), %rax + subq -8*K-0x40+8*K(%rsi), %rax + movq %rax, (%r8) + .set I, 1 + .rep K-1 + movq -8*K-0x40+8*I(%rsi), %rax + sbbq -8*K-0x40+8*K+8*I(%rsi), %rax + movq %rax, 8*I(%r8) + .set I, (I+1) + .endr + + movl $0, %ebx + sbbq s, s // Maintain CF, set ZF for cmovs, record sign + + .set I, 0 + .rep K + movq 8*I(%r8), %rdx + movq %rdx, %rax + notq %rdx + cmovzq %rax, %rdx + adcxq %rbx, %rdx + movq %rdx, 8*I(%r8) + .set I, (I+1) + .endr + +// Form |y_hi - y_lo| (note opposite order) starting at t[K] + + movq -8*K+8*K(%rcx), %rax + subq -8*K(%rcx), %rax + movq %rax, 8*K(%r8) + .set I, 1 + .rep K-1 + movq -8*K+8*K+8*I(%rcx), %rax + sbbq -8*K+8*I(%rcx), %rax + movq %rax, 8*K+8*I(%r8) + .set I, (I+1) + .endr + + movl $0, %ebx + sbbq %rbp, %rbp // Maintain CF, set ZF for cmovs + + .set I, 0 + .rep K + movq 8*K+8*I(%r8), %rdx + movq %rdx, %rax + notq %rdx + cmovzq %rax, %rdx + adcxq %rbx, %rdx + movq %rdx, 8*K+8*I(%r8) + .set I, (I+1) + .endr + +// Stash the final sign with which to add things at t[4*K] + + xorq %rbp, s + movq s, 32*K(%r8) + +// Multiply the absolute differences, putting the result at t[2*K] +// This has the side-effect of putting t in the "right" register %rcx +// so after the load of z, we have both z and t pointers straight. + + movq %r8, %rcx + leaq 8*K(%r8), %rsi + leaq 16*K(%r8), %rdi + CFI_CALL(Lbignum_kmul_32_64_local_bignum_kmul_16_32) + movq (%rsp), z + +// Compose the middle parts [2,1] + [1,0] + [3,2], saving carry in %rbx. +// Put the sum at t, overwriting the absolute differences we no longer need. + + xorl %ebx, %ebx + .set I, 0 + .rep 2*K + movq 8*K+8*I(z), %rax + adcxq 8*I(z), %rax + adoxq 16*K+8*I(z), %rax + movq %rax, 8*I(t) + .set I, (I+1) + .endr + adoxq %rbx, %rbx + adcq $0, %rbx + +// Sign-aware addition or subtraction of the complicated term. +// We double-negate it to set CF/ZF while not spoiling its +// actual form: note that we eventually adcx to it below. + + movq 32*K(t), s + negq s + negq s + + .set I, 0 + .rep 2*K + movq 16*K+8*I(t), %rdx + movq %rdx, %rax + notq %rdx + cmovzq %rax, %rdx + adcxq 8*I(t), %rdx + movq %rdx, 8*K+8*I(z) + .set I, (I+1) + .endr + +// Bump the accumulated carry. This must end up >= 0 because it's the top +// word of a value of the form ... + h * h' + l * l' - (h - l) * (h' - l') >= 0 + + adcxq s, %rbx + +// Finally propagate the carry to the top part + + xorl %eax, %eax + addq %rbx, 24*K(z) + .set I, 1 + .rep K-1 + adcq %rax, 24*K+8*I(z) + .set I, (I+1) + .endr + +// Restore and return. The first pop is not needed for the ABI but +// we need to adjust the stack anyway so it seems reasonable. + + CFI_POP(%rcx) + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +// Local copy of half-length subroutine. This has a slightly different +// interface, expecting y argument in %rcx directly, and not doing any +// save-restore of the other registers. It naturally moves z and x on by +// 0x40, which we compensate for when it is called by adjusting offsets. + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lbignum_kmul_32_64_local_bignum_kmul_16_32) + +Lbignum_kmul_32_64_local_bignum_kmul_16_32: + CFI_START + movq (%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %r9 + movq %rax, (%rdi) + mulxq 0x8(%rsi), %rax, %r10 + adcxq %rax, %r9 + mulxq 0x10(%rsi), %rax, %r11 + adcxq %rax, %r10 + mulxq 0x18(%rsi), %rax, %r12 + adcxq %rax, %r11 + mulxq 0x20(%rsi), %rax, %r13 + adcxq %rax, %r12 + mulxq 0x28(%rsi), %rax, %r14 + adcxq %rax, %r13 + mulxq 0x30(%rsi), %rax, %r15 + adcxq %rax, %r14 + mulxq 0x38(%rsi), %rax, %r8 + adcxq %rax, %r15 + adcq %rbp, %r8 + movq 0x8(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + movq %r9, 0x8(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x38(%rsi), %rax, %r9 + adcxq %rax, %r8 + adoxq %rbp, %r9 + adcq %rbp, %r9 + movq 0x10(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq %r10, 0x10(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x38(%rsi), %rax, %r10 + adcxq %rax, %r9 + adoxq %rbp, %r10 + adcq %rbp, %r10 + movq 0x18(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq %r11, 0x18(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x38(%rsi), %rax, %r11 + adcxq %rax, %r10 + adoxq %rbp, %r11 + adcq %rbp, %r11 + movq 0x20(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq %r12, 0x20(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x38(%rsi), %rax, %r12 + adcxq %rax, %r11 + adoxq %rbp, %r12 + adcq %rbp, %r12 + movq 0x28(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + movq %r13, 0x28(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x38(%rsi), %rax, %r13 + adcxq %rax, %r12 + adoxq %rbp, %r13 + adcq %rbp, %r13 + movq 0x30(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + movq %r14, 0x30(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x38(%rsi), %rax, %r14 + adcxq %rax, %r13 + adoxq %rbp, %r14 + adcq %rbp, %r14 + movq 0x38(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + movq %r15, 0x38(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x38(%rsi), %rax, %r15 + adcxq %rax, %r14 + adoxq %rbp, %r15 + adcq %rbp, %r15 + movq 0x40(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + movq %r8, 0x40(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x38(%rsi), %rax, %r8 + adcxq %rax, %r15 + adoxq %rbp, %r8 + adcq %rbp, %r8 + movq 0x48(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + movq %r9, 0x48(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x38(%rsi), %rax, %r9 + adcxq %rax, %r8 + adoxq %rbp, %r9 + adcq %rbp, %r9 + movq 0x50(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq %r10, 0x50(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x38(%rsi), %rax, %r10 + adcxq %rax, %r9 + adoxq %rbp, %r10 + adcq %rbp, %r10 + movq 0x58(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq %r11, 0x58(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x38(%rsi), %rax, %r11 + adcxq %rax, %r10 + adoxq %rbp, %r11 + adcq %rbp, %r11 + movq 0x60(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq %r12, 0x60(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x38(%rsi), %rax, %r12 + adcxq %rax, %r11 + adoxq %rbp, %r12 + adcq %rbp, %r12 + movq 0x68(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + movq %r13, 0x68(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x38(%rsi), %rax, %r13 + adcxq %rax, %r12 + adoxq %rbp, %r13 + adcq %rbp, %r13 + movq 0x70(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + movq %r14, 0x70(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x38(%rsi), %rax, %r14 + adcxq %rax, %r13 + adoxq %rbp, %r14 + adcq %rbp, %r14 + movq 0x78(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + movq %r15, 0x78(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x38(%rsi), %rax, %r15 + adcxq %rax, %r14 + adoxq %rbp, %r15 + adcq %rbp, %r15 + movq %r8, 0x80(%rdi) + movq %r9, 0x88(%rdi) + movq %r10, 0x90(%rdi) + movq %r11, 0x98(%rdi) + movq %r12, 0xa0(%rdi) + movq %r13, 0xa8(%rdi) + movq %r14, 0xb0(%rdi) + movq %r15, 0xb8(%rdi) + addq $0x40, %rdi + addq $0x40, %rsi + movq (%rcx), %rdx + xorl %ebp, %ebp + movq (%rdi), %r8 + movq 0x8(%rdi), %r9 + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + movq %r8, (%rdi) + movq 0x10(%rdi), %r10 + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + movq 0x18(%rdi), %r11 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq 0x20(%rdi), %r12 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x28(%rdi), %r13 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq 0x30(%rdi), %r14 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + movq 0x38(%rdi), %r15 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x38(%rsi), %rax, %r8 + adcxq %rax, %r15 + adoxq %rbp, %r8 + adcxq %rbp, %r8 + movq 0x8(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + movq %r9, 0x8(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x38(%rsi), %rax, %r9 + adcxq %rax, %r8 + adoxq %rbp, %r9 + adcq %rbp, %r9 + movq 0x10(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq %r10, 0x10(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x38(%rsi), %rax, %r10 + adcxq %rax, %r9 + adoxq %rbp, %r10 + adcq %rbp, %r10 + movq 0x18(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq %r11, 0x18(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x38(%rsi), %rax, %r11 + adcxq %rax, %r10 + adoxq %rbp, %r11 + adcq %rbp, %r11 + movq 0x20(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq %r12, 0x20(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x38(%rsi), %rax, %r12 + adcxq %rax, %r11 + adoxq %rbp, %r12 + adcq %rbp, %r12 + movq 0x28(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + movq %r13, 0x28(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x38(%rsi), %rax, %r13 + adcxq %rax, %r12 + adoxq %rbp, %r13 + adcq %rbp, %r13 + movq 0x30(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + movq %r14, 0x30(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x38(%rsi), %rax, %r14 + adcxq %rax, %r13 + adoxq %rbp, %r14 + adcq %rbp, %r14 + movq 0x38(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + movq %r15, 0x38(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x38(%rsi), %rax, %r15 + adcxq %rax, %r14 + adoxq %rbp, %r15 + adcq %rbp, %r15 + movq 0x40(%rcx), %rdx + xorl %ebp, %ebp + adoxq 0x40(%rdi), %r8 + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + movq %r8, 0x40(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x38(%rsi), %rax, %r8 + adcxq %rax, %r15 + adoxq %rbp, %r8 + adcq %rbp, %r8 + movq 0x48(%rcx), %rdx + xorl %ebp, %ebp + adoxq 0x48(%rdi), %r9 + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + movq %r9, 0x48(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x38(%rsi), %rax, %r9 + adcxq %rax, %r8 + adoxq %rbp, %r9 + adcq %rbp, %r9 + movq 0x50(%rcx), %rdx + xorl %ebp, %ebp + adoxq 0x50(%rdi), %r10 + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq %r10, 0x50(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x38(%rsi), %rax, %r10 + adcxq %rax, %r9 + adoxq %rbp, %r10 + adcq %rbp, %r10 + movq 0x58(%rcx), %rdx + xorl %ebp, %ebp + adoxq 0x58(%rdi), %r11 + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq %r11, 0x58(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x38(%rsi), %rax, %r11 + adcxq %rax, %r10 + adoxq %rbp, %r11 + adcq %rbp, %r11 + movq 0x60(%rcx), %rdx + xorl %ebp, %ebp + adoxq 0x60(%rdi), %r12 + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq %r12, 0x60(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x38(%rsi), %rax, %r12 + adcxq %rax, %r11 + adoxq %rbp, %r12 + adcq %rbp, %r12 + movq 0x68(%rcx), %rdx + xorl %ebp, %ebp + adoxq 0x68(%rdi), %r13 + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + movq %r13, 0x68(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x38(%rsi), %rax, %r13 + adcxq %rax, %r12 + adoxq %rbp, %r13 + adcq %rbp, %r13 + movq 0x70(%rcx), %rdx + xorl %ebp, %ebp + adoxq 0x70(%rdi), %r14 + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + movq %r14, 0x70(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x38(%rsi), %rax, %r14 + adcxq %rax, %r13 + adoxq %rbp, %r14 + adcq %rbp, %r14 + movq 0x78(%rcx), %rdx + xorl %ebp, %ebp + adoxq 0x78(%rdi), %r15 + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + movq %r15, 0x78(%rdi) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x38(%rsi), %rax, %r15 + adcxq %rax, %r14 + adoxq %rbp, %r15 + adcq %rbp, %r15 + movq %r8, 0x80(%rdi) + movq %r9, 0x88(%rdi) + movq %r10, 0x90(%rdi) + movq %r11, 0x98(%rdi) + movq %r12, 0xa0(%rdi) + movq %r13, 0xa8(%rdi) + movq %r14, 0xb0(%rdi) + movq %r15, 0xb8(%rdi) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lbignum_kmul_32_64_local_bignum_kmul_16_32) + +S2N_BN_SIZE_DIRECTIVE(bignum_kmul_32_64) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_ksqr_16_32.S b/cbits/s2n/x86_att/bignum_ksqr_16_32.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_ksqr_16_32.S @@ -0,0 +1,545 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Square, z := x^2 +// Input x[16]; output z[32]; temporary buffer t[>=24] +// +// extern void bignum_ksqr_16_32(uint64_t z[static 32], +// const uint64_t x[static 16], +// uint64_t t[static 24]); +// +// In this x86 code the final temporary space argument t is unused, but +// it is retained in the prototype above for API consistency with ARM. +// +// Standard x86-64 ABI: RDI = z, RSI = x, RDX = t +// Microsoft x64 ABI: RCX = z, RDX = x, R8 = t +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_ksqr_16_32) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_ksqr_16_32) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_ksqr_16_32) + .text + +#define z %rdi +#define x %rsi + +// A zero register + +#define zero %rbp +#define zeroe %ebp + +// ------------------------------------------------------------------------ +// mulpadd i, j adds rdx * x[i] into the window at the i+j point +// ------------------------------------------------------------------------ + +.macro mulpadd arg1,arg2 + mulxq 8*\arg1(x), %rax, %rcx +.if ((\arg1 + \arg2) % 8 == 0) + adcxq %rax, %r8 + adoxq %rcx, %r9 +.elseif ((\arg1 + \arg2) % 8 == 1) + adcxq %rax, %r9 + adoxq %rcx, %r10 +.elseif ((\arg1 + \arg2) % 8 == 2) + adcxq %rax, %r10 + adoxq %rcx, %r11 +.elseif ((\arg1 + \arg2) % 8 == 3) + adcxq %rax, %r11 + adoxq %rcx, %r12 +.elseif ((\arg1 + \arg2) % 8 == 4) + adcxq %rax, %r12 + adoxq %rcx, %r13 +.elseif ((\arg1 + \arg2) % 8 == 5) + adcxq %rax, %r13 + adoxq %rcx, %r14 +.elseif ((\arg1 + \arg2) % 8 == 6) + adcxq %rax, %r14 + adoxq %rcx, %r15 +.elseif ((\arg1 + \arg2) % 8 == 7) + adcxq %rax, %r15 + adoxq %rcx, %r8 +.endif + +.endm + +// ------------------------------------------------------------------------ +// mulpade i, j adds rdx * x[i] into the window at i+j +// but re-creates the top word assuming nothing to add there +// ------------------------------------------------------------------------ + +.macro mulpade arg1,arg2 +.if ((\arg1 + \arg2) % 8 == 0) + mulxq 8*\arg1(x), %rax, %r9 + adcxq %rax, %r8 + adoxq zero, %r9 +.elseif ((\arg1 + \arg2) % 8 == 1) + mulxq 8*\arg1(x), %rax, %r10 + adcxq %rax, %r9 + adoxq zero, %r10 +.elseif ((\arg1 + \arg2) % 8 == 2) + mulxq 8*\arg1(x), %rax, %r11 + adcxq %rax, %r10 + adoxq zero, %r11 +.elseif ((\arg1 + \arg2) % 8 == 3) + mulxq 8*\arg1(x), %rax, %r12 + adcxq %rax, %r11 + adoxq zero, %r12 +.elseif ((\arg1 + \arg2) % 8 == 4) + mulxq 8*\arg1(x), %rax, %r13 + adcxq %rax, %r12 + adoxq zero, %r13 +.elseif ((\arg1 + \arg2) % 8 == 5) + mulxq 8*\arg1(x), %rax, %r14 + adcxq %rax, %r13 + adoxq zero, %r14 +.elseif ((\arg1 + \arg2) % 8 == 6) + mulxq 8*\arg1(x), %rax, %r15 + adcxq %rax, %r14 + adoxq zero, %r15 +.elseif ((\arg1 + \arg2) % 8 == 7) + mulxq 8*\arg1(x), %rax, %r8 + adcxq %rax, %r15 + adoxq zero, %r8 +.endif + +.endm + +// ------------------------------------------------------------------------ +// addrow i,j adds z[i+j] + x[i..i+7] * x[j] into the window +// ------------------------------------------------------------------------ + +.macro addrow arg1,arg2 + movq 8*\arg2(x), %rdx + xorl zeroe, zeroe // Get a known flag state and give a zero reg + +.if ((\arg1 + \arg2) % 8 == 0) + adoxq 8*(\arg1+\arg2)(z), %r8 +.elseif ((\arg1 + \arg2) % 8 == 1) + adoxq 8*(\arg1+\arg2)(z), %r9 +.elseif ((\arg1 + \arg2) % 8 == 2) + adoxq 8*(\arg1+\arg2)(z), %r10 +.elseif ((\arg1 + \arg2) % 8 == 3) + adoxq 8*(\arg1+\arg2)(z), %r11 +.elseif ((\arg1 + \arg2) % 8 == 4) + adoxq 8*(\arg1+\arg2)(z), %r12 +.elseif ((\arg1 + \arg2) % 8 == 5) + adoxq 8*(\arg1+\arg2)(z), %r13 +.elseif ((\arg1 + \arg2) % 8 == 6) + adoxq 8*(\arg1+\arg2)(z), %r14 +.elseif ((\arg1 + \arg2) % 8 == 7) + adoxq 8*(\arg1+\arg2)(z), %r15 +.endif + + mulpadd \arg1, \arg2 + +.if ((\arg1 + \arg2) % 8 == 0) + movq %r8, 8*(\arg1+\arg2)(z) +.elseif ((\arg1 + \arg2) % 8 == 1) + movq %r9, 8*(\arg1+\arg2)(z) +.elseif ((\arg1 + \arg2) % 8 == 2) + movq %r10, 8*(\arg1+\arg2)(z) +.elseif ((\arg1 + \arg2) % 8 == 3) + movq %r11, 8*(\arg1+\arg2)(z) +.elseif ((\arg1 + \arg2) % 8 == 4) + movq %r12, 8*(\arg1+\arg2)(z) +.elseif ((\arg1 + \arg2) % 8 == 5) + movq %r13, 8*(\arg1+\arg2)(z) +.elseif ((\arg1 + \arg2) % 8 == 6) + movq %r14, 8*(\arg1+\arg2)(z) +.elseif ((\arg1 + \arg2) % 8 == 7) + movq %r15, 8*(\arg1+\arg2)(z) +.endif + + mulpadd (\arg1+1), \arg2 + mulpadd (\arg1+2), \arg2 + mulpadd (\arg1+3), \arg2 + mulpadd (\arg1+4), \arg2 + mulpadd (\arg1+5), \arg2 + mulpade (\arg1+6), \arg2 + mulpade (\arg1+7), \arg2 + +.if ((\arg1 + \arg2) % 8 == 0) + adcxq zero, %r8 +.elseif ((\arg1 + \arg2) % 8 == 1) + adcxq zero, %r9 +.elseif ((\arg1 + \arg2) % 8 == 2) + adcxq zero, %r10 +.elseif ((\arg1 + \arg2) % 8 == 3) + adcxq zero, %r11 +.elseif ((\arg1 + \arg2) % 8 == 4) + adcxq zero, %r12 +.elseif ((\arg1 + \arg2) % 8 == 5) + adcxq zero, %r13 +.elseif ((\arg1 + \arg2) % 8 == 6) + adcxq zero, %r14 +.elseif ((\arg1 + \arg2) % 8 == 7) + adcxq zero, %r15 +.endif + + +.endm + + +// ------------------------------------------------------------------------ +// Adds off-diagonal part of x[i..i+7]^2 into the window, writes 0..7 back +// ------------------------------------------------------------------------ + +.macro sqr arg1 + + xorl zeroe, zeroe + +// Set up the initial window + + movq 16*\arg1+8(z), %r9 + movq 16*\arg1+16(z), %r10 + movq 16*\arg1+24(z), %r11 + movq 16*\arg1+32(z), %r12 + movq 16*\arg1+40(z), %r13 + movq 16*\arg1+48(z), %r14 + movq 16*\arg1+56(z), %r15 + +// Add in the first diagonal [%r8..%r10] + 2 wb = 10 + 20 + 30 + 40 + 50 + 60 + 70 + + movq 8*\arg1(x), %rdx + mulpadd (\arg1+1), (\arg1+0) + movq %r9, 16*\arg1+8(z) + mulpadd (\arg1+2), (\arg1+0) + movq %r10, 16*\arg1+16(z) + mulpadd (\arg1+3), (\arg1+0) + mulpadd (\arg1+4), (\arg1+0) + mulpadd (\arg1+5), (\arg1+0) + mulpadd (\arg1+6), (\arg1+0) + mulpade (\arg1+7), (\arg1+0) + adcxq zero, %r8 + +// Add in the next diagonal = 21 + 31 + 41 + 51 + 61 + 71 + 54 + + xorl zeroe, zeroe + movq 8*\arg1+8(x), %rdx + mulpadd (\arg1+2), (\arg1+1) + movq %r11, 16*\arg1+24(z) + mulpadd (\arg1+3), (\arg1+1) + movq %r12, 16*\arg1+32(z) + mulpadd (\arg1+4), (\arg1+1) + mulpadd (\arg1+5), (\arg1+1) + mulpadd (\arg1+6), (\arg1+1) + mulpade (\arg1+7), (\arg1+1) + movq 8*\arg1+32(x), %rdx + mulpade (\arg1+5), (\arg1+4) + adcxq zero, %r10 + +// And the next one = 32 + 42 + 52 + 62 + 72 + 64 + 65 + + xorl zeroe, zeroe + movq 8*\arg1+16(x), %rdx + mulpadd (\arg1+3), (\arg1+2) + movq %r13, 16*\arg1+40(z) + mulpadd (\arg1+4), (\arg1+2) + movq %r14, 16*\arg1+48(z) + mulpadd (\arg1+5), (\arg1+2) + mulpadd (\arg1+6), (\arg1+2) + mulpadd (\arg1+7), (\arg1+2) + movq 8*\arg1+48(x), %rdx + mulpade (\arg1+4), (\arg1+6) + mulpade (\arg1+5), (\arg1+6) + adcxq zero, %r12 + +// And the final one = 43 + 53 + 63 + 73 + 74 + 75 + 76 + + xorl zeroe, zeroe + movq 8*\arg1+24(x), %rdx + mulpadd (\arg1+4), (\arg1+3) + movq %r15, 16*\arg1+56(z) + mulpadd (\arg1+5), (\arg1+3) + mulpadd (\arg1+6), (\arg1+3) + mulpadd (\arg1+7), (\arg1+3) + movq 8*\arg1+56(x), %rdx + mulpadd (\arg1+4), (\arg1+7) + mulpade (\arg1+5), (\arg1+7) + mulpade (\arg1+6), (\arg1+7) + adcxq zero, %r14 +.endm + +// ------------------------------------------------------------------------ +// Multiply-add: z := z + x[i...i+7] * x +// ------------------------------------------------------------------------ + +.macro addrows arg1 + + sqr \arg1 + + .set I, (\arg1+8) +.rep (8-\arg1) + addrow \arg1, I + .set I, (I+1) +.endr + + movq %r8, 8*(16+\arg1)(z) + movq %r9, 8*(17+\arg1)(z) + movq %r10, 8*(18+\arg1)(z) + movq %r11, 8*(19+\arg1)(z) + movq %r12, 8*(20+\arg1)(z) + movq %r13, 8*(21+\arg1)(z) + movq %r14, 8*(22+\arg1)(z) +.endm + + +// ------------------------------------------------------------------------ +// mulrow i,j adds x[i..i+7] * x[j] into the window +// just like addrow but no addition of z[i+j] +// ------------------------------------------------------------------------ + +.macro mulrow arg1,arg2 + movq 8*\arg2(x), %rdx + xorl zeroe, zeroe // Get a known flag state and give a zero reg + + mulpadd \arg1, \arg2 + +.if ((\arg1 + \arg2) % 8 == 0) + movq %r8, 8*(\arg1+\arg2)(z) +.elseif ((\arg1 + \arg2) % 8 == 1) + movq %r9, 8*(\arg1+\arg2)(z) +.elseif ((\arg1 + \arg2) % 8 == 2) + movq %r10, 8*(\arg1+\arg2)(z) +.elseif ((\arg1 + \arg2) % 8 == 3) + movq %r11, 8*(\arg1+\arg2)(z) +.elseif ((\arg1 + \arg2) % 8 == 4) + movq %r12, 8*(\arg1+\arg2)(z) +.elseif ((\arg1 + \arg2) % 8 == 5) + movq %r13, 8*(\arg1+\arg2)(z) +.elseif ((\arg1 + \arg2) % 8 == 6) + movq %r14, 8*(\arg1+\arg2)(z) +.elseif ((\arg1 + \arg2) % 8 == 7) + movq %r15, 8*(\arg1+\arg2)(z) +.endif + + mulpadd (\arg1+1), \arg2 + mulpadd (\arg1+2), \arg2 + mulpadd (\arg1+3), \arg2 + mulpadd (\arg1+4), \arg2 + mulpadd (\arg1+5), \arg2 +.if ((\arg1 + \arg2) % 8 == 0) + mulpade (\arg1+6), \arg2 +.else + mulpadd (\arg1+6), \arg2 +.endif + + mulpade (\arg1+7), \arg2 + +.if ((\arg1 + \arg2) % 8 == 0) + adcxq zero, %r8 +.elseif ((\arg1 + \arg2) % 8 == 1) + adcxq zero, %r9 +.elseif ((\arg1 + \arg2) % 8 == 2) + adcxq zero, %r10 +.elseif ((\arg1 + \arg2) % 8 == 3) + adcxq zero, %r11 +.elseif ((\arg1 + \arg2) % 8 == 4) + adcxq zero, %r12 +.elseif ((\arg1 + \arg2) % 8 == 5) + adcxq zero, %r13 +.elseif ((\arg1 + \arg2) % 8 == 6) + adcxq zero, %r14 +.elseif ((\arg1 + \arg2) % 8 == 7) + adcxq zero, %r15 +.endif + + +.endm + +// ------------------------------------------------------------------------ +// Compute off-diagonal part of x[0..7]^2, write back 1..7 elements and +// set up the high part in the standard register window. DOES NOT WRITE z[0]! +// ------------------------------------------------------------------------ + +.macro sqrz + + xorl zeroe, zeroe + +// Set initial window [%r8..%r10] + 2 wb = 10 + 20 + 30 + 40 + 50 + 60 + 70 + + movq (x), %rdx + mulxq 8(x), %r9, %rax + movq %r9, 8(z) + mulxq 16(x), %r10, %rcx + adcxq %rax, %r10 + movq %r10, 16(z) + mulxq 24(x), %r11, %rax + adcxq %rcx, %r11 + mulxq 32(x), %r12, %rcx + adcxq %rax, %r12 + mulxq 40(x), %r13, %rax + adcxq %rcx, %r13 + mulxq 48(x), %r14, %rcx + adcxq %rax, %r14 + mulxq 56(x), %r15, %r8 + adcxq %rcx, %r15 + adcxq zero, %r8 + +// Add in the next diagonal = 21 + 31 + 41 + 51 + 61 + 71 + 54 + + xorl zeroe, zeroe + movq 8(x), %rdx + mulpadd 2, 1 + movq %r11, 24(z) + mulpadd 3, 1 + movq %r12, 32(z) + mulpadd 4, 1 + mulpadd 5, 1 + mulpadd 6, 1 + mulpade 7, 1 + movq 32(x), %rdx + mulpade 5, 4 + adcxq zero, %r10 + +// And the next one = 32 + 42 + 52 + 62 + 72 + 64 + 65 + + xorl zeroe, zeroe + movq 16(x), %rdx + mulpadd 3, 2 + movq %r13, 40(z) + mulpadd 4, 2 + movq %r14, 48(z) + mulpadd 5, 2 + mulpadd 6, 2 + mulpadd 7, 2 + movq 48(x), %rdx + mulpade 4, 6 + mulpade 5, 6 + adcxq zero, %r12 + +// And the final one = 43 + 53 + 63 + 73 + 74 + 75 + 76 + + xorl zeroe, zeroe + movq 24(x), %rdx + mulpadd 4, 3 + movq %r15, 56(z) + mulpadd 5, 3 + mulpadd 6, 3 + mulpadd 7, 3 + movq 56(x), %rdx + mulpadd 4, 7 + mulpade 5, 7 + mulpade 6, 7 + adcxq zero, %r14 +.endm + +// ------------------------------------------------------------------------ +// Multiply-add: z := x[0...7] * x off-diagonal elements +// ------------------------------------------------------------------------ + +.macro mulrows + sqrz + + .set I, 8 +.rep 8 + mulrow 0, I + .set I, (I+1) +.endr + + movq %r8, 128(z) + movq %r9, 136(z) + movq %r10, 144(z) + movq %r11, 152(z) + movq %r12, 160(z) + movq %r13, 168(z) + movq %r14, 176(z) + movq %r15, 184(z) +.endm + +// ------------------------------------------------------------------------ +// The actual code +// ------------------------------------------------------------------------ + + + +S2N_BN_SYMBOL(bignum_ksqr_16_32): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi +#endif + +// Save more registers to play with + + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + +// Now just systematically add in the rows to get all off-diagonal elements + + mulrows + addrows 8 + +// Double and add the diagonal elements. Note that z[0] was never written above + + xorl zeroe, zeroe + movq (x), %rdx + mulxq %rdx, %rax, %rcx + movq %rax, (z) + + movq 8(z), %rdx + adcxq %rdx, %rdx + adoxq %rcx, %rdx + movq %rdx, 8(z) + + .set I, 1 +.rep 14 + movq 8*I(x), %rdx + mulxq %rdx, %rax, %rcx + + movq 8*(2*I)(z), %rdx + adcxq %rdx, %rdx + adoxq %rax, %rdx + movq %rdx, 8*(2*I)(z) + + movq 8*(2*I+1)(z), %rdx + adcxq %rdx, %rdx + adoxq %rcx, %rdx + movq %rdx, 8*(2*I+1)(z) + .set I, (I+1) +.endr + + movq 8*I(x), %rdx + mulxq %rdx, %rax, %rcx + + movq 8*(2*I)(z), %rdx + adcxq %rdx, %rdx + adoxq %rax, %rdx + movq %rdx, 8*(2*I)(z) + + adcxq zero, %rcx + adoxq zero, %rcx + movq %rcx, 8*(2*I+1)(z) + .set I, (I+1) + + +// Restore registers and return + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_ksqr_16_32) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_ksqr_32_64.S b/cbits/s2n/x86_att/bignum_ksqr_32_64.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_ksqr_32_64.S @@ -0,0 +1,809 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Square, z := x^2 +// Input x[32]; output z[64]; temporary buffer t[>=72] +// +// extern void bignum_ksqr_32_64(uint64_t z[static 64], +// const uint64_t x[static 32], +// uint64_t t[static 72]); +// +// This is a Karatsuba-style function squaring half-sized results +// and using temporary buffer t for intermediate results. The size of 72 +// is an overstatement for compatibility with the ARM version; it actually +// only uses 65 elements of t (64 + 1 for a suspended carry). +// +// Standard x86-64 ABI: RDI = z, RSI = x, RDX = t +// Microsoft x64 ABI: RCX = z, RDX = x, R8 = t +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_ksqr_32_64) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_ksqr_32_64) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_ksqr_32_64) + + .text + +#define K 16 + +#define z %rdi +#define x %rsi +#define t %rcx + +S2N_BN_SYMBOL(bignum_ksqr_32_64): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx +#endif + +// Save callee-preserved registers once and for all at the outset +// Later we further reshuffle the input arguments to avoid extra saves + + CFI_PUSH(%rbp) + CFI_PUSH(%rbx) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + +// Move the temp space pointer since we need %rdx for multiplications + + movq %rdx, t + +// Square the low half + + CFI_CALL(Lbignum_ksqr_32_64_local_bignum_sqr_16_32) + +// Square the high half; from here on x and z are modified + + leaq 8*K(x), x // input at x+8*K + leaq 16*K(z), z // result at z+16*K + CFI_CALL(Lbignum_ksqr_32_64_local_bignum_sqr_16_32) + +// Form |x_lo - x_hi|, stored at t + + movq -8*K(x), %rax + subq (x), %rax + movq %rax, (t) + .set I, 1 + .rep K-1 + movq -8*K+8*I(x), %rax + sbbq 8*I(x), %rax + movq %rax, 8*I(t) + .set I, (I+1) + .endr + + movl $0, %ebx + sbbq %rax, %rax // Maintain CF, set ZF for cmovs + + .set I, 0 + .rep K + movq 8*I(t), %rdx + movq %rdx, %rax + notq %rdx + adcxq %rbx, %rdx + cmovzq %rax, %rdx + movq %rdx, 8*I(t) + .set I, (I+1) + .endr + +// Compose the middle parts [2,1] + [1,0] + [3,2] +// Put the low half of this at t[K] and the top half in place at z[2*K]; a +// fully in-place version is awkward with the otherwise beneficial double +// carry chain. Stash the carry suspended from the 3k position at the end of +// the temp buffer t[4*K]. + + xorl %edx, %edx + .set I, 0 + .rep K + movq -16*K+8*K+8*I(z), %rax + adcxq -16*K+8*I(z), %rax + adoxq -16*K+16*K+8*I(z), %rax + movq %rax, 8*K+8*I(t) + .set I, (I+1) + .endr + + .rep K + movq -16*K+8*K+8*I(z), %rax + adcxq -16*K+8*I(z), %rax + adoxq -16*K+16*K+8*I(z), %rax + movq %rax, -16*K+8*K+8*I(z) + .set I, (I+1) + .endr + + adoxq %rdx, %rdx + adcq $0, %rdx + movq %rdx, 32*K(t) + +// Square the absolute difference, putting the result M at t[2*K]. +// This involves another shuffle so now t' = z_orig and x' = t_orig +// while z' points within the temp buffer to the product M itself + + movq t, x + leaq -16*K(z), t + leaq 16*K(x), z + CFI_CALL(Lbignum_ksqr_32_64_local_bignum_sqr_16_32) + +// Subtract M, pausing at the 3k position to bump down accumulated carry. +// The carry cannot go negative since it's the top word of a value +// of the form ... + h^2 + l^2 - (h - l)^2 >= 0 + + movq 8*K(x), %rax + subq (z), %rax + movq %rax, 8*K(t) + + .set I, 1 + + .rep (K-1) + movq 8*K+8*I(x), %rax + sbbq 8*I(z), %rax + movq %rax, 8*K+8*I(t) + .set I, (I+1) + .endr + + .rep K + movq 8*K+8*I(t), %rax + sbbq 8*I(z), %rax + movq %rax, 8*K+8*I(t) + .set I, (I+1) + .endr + + movq 32*K(x), %rdx + sbbq $0, %rdx + +// Finally propagate the carry to the top quarter + + xorl %eax, %eax + addq %rdx, 24*K(t) + .set I, 1 + .rep K-1 + adcq %rax, 24*K+8*I(t) + .set I, (I+1) + .endr + +// Restore registers and return + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbx) + CFI_POP(%rbp) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +// Local copy of the half-length subroutine + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lbignum_ksqr_32_64_local_bignum_sqr_16_32) + +Lbignum_ksqr_32_64_local_bignum_sqr_16_32: + CFI_START + xorl %ebp, %ebp + movq (x), %rdx + mulxq 0x8(x), %r9, %rax + movq %r9, 0x8(z) + mulxq 0x10(x), %r10, %rbx + adcxq %rax, %r10 + movq %r10, 0x10(z) + mulxq 0x18(x), %r11, %rax + adcxq %rbx, %r11 + mulxq 0x20(x), %r12, %rbx + adcxq %rax, %r12 + mulxq 0x28(x), %r13, %rax + adcxq %rbx, %r13 + mulxq 0x30(x), %r14, %rbx + adcxq %rax, %r14 + mulxq 0x38(x), %r15, %r8 + adcxq %rbx, %r15 + adcxq %rbp, %r8 + xorl %ebp, %ebp + movq 0x8(x), %rdx + mulxq 0x10(x), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq %r11, 0x18(z) + mulxq 0x18(x), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq %r12, 0x20(z) + mulxq 0x20(x), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x28(x), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x30(x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x38(x), %rax, %r9 + adcxq %rax, %r8 + adoxq %rbp, %r9 + movq 0x20(x), %rdx + mulxq 0x28(x), %rax, %r10 + adcxq %rax, %r9 + adoxq %rbp, %r10 + adcxq %rbp, %r10 + xorl %ebp, %ebp + movq 0x10(x), %rdx + mulxq 0x18(x), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + movq %r13, 0x28(z) + mulxq 0x20(x), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + movq %r14, 0x30(z) + mulxq 0x28(x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x30(x), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x38(x), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + movq 0x30(x), %rdx + mulxq 0x20(x), %rax, %r11 + adcxq %rax, %r10 + adoxq %rbp, %r11 + mulxq 0x28(x), %rax, %r12 + adcxq %rax, %r11 + adoxq %rbp, %r12 + adcxq %rbp, %r12 + xorl %ebp, %ebp + movq 0x18(x), %rdx + mulxq 0x20(x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + movq %r15, 0x38(z) + mulxq 0x28(x), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x30(x), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x38(x), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq 0x38(x), %rdx + mulxq 0x20(x), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x28(x), %rax, %r13 + adcxq %rax, %r12 + adoxq %rbp, %r13 + mulxq 0x30(x), %rax, %r14 + adcxq %rax, %r13 + adoxq %rbp, %r14 + adcxq %rbp, %r14 + movq 0x40(x), %rdx + xorl %ebp, %ebp + mulxq (x), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + movq %r8, 0x40(z) + mulxq 0x8(x), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x10(x), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x18(x), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x20(x), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x28(x), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x30(x), %rax, %r15 + adcxq %rax, %r14 + adoxq %rbp, %r15 + mulxq 0x38(x), %rax, %r8 + adcxq %rax, %r15 + adoxq %rbp, %r8 + adcxq %rbp, %r8 + movq 0x48(x), %rdx + xorl %ebp, %ebp + mulxq (x), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + movq %r9, 0x48(z) + mulxq 0x8(x), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x10(x), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x18(x), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x20(x), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x28(x), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x30(x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x38(x), %rax, %r9 + adcxq %rax, %r8 + adoxq %rbp, %r9 + adcxq %rbp, %r9 + movq 0x50(x), %rdx + xorl %ebp, %ebp + mulxq (x), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq %r10, 0x50(z) + mulxq 0x8(x), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x10(x), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x18(x), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x20(x), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x28(x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x30(x), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x38(x), %rax, %r10 + adcxq %rax, %r9 + adoxq %rbp, %r10 + adcxq %rbp, %r10 + movq 0x58(x), %rdx + xorl %ebp, %ebp + mulxq (x), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq %r11, 0x58(z) + mulxq 0x8(x), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x10(x), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x18(x), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x20(x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x28(x), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x30(x), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x38(x), %rax, %r11 + adcxq %rax, %r10 + adoxq %rbp, %r11 + adcxq %rbp, %r11 + movq 0x60(x), %rdx + xorl %ebp, %ebp + mulxq (x), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq %r12, 0x60(z) + mulxq 0x8(x), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x10(x), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x18(x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x20(x), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x28(x), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x30(x), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x38(x), %rax, %r12 + adcxq %rax, %r11 + adoxq %rbp, %r12 + adcxq %rbp, %r12 + movq 0x68(x), %rdx + xorl %ebp, %ebp + mulxq (x), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + movq %r13, 0x68(z) + mulxq 0x8(x), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x10(x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x18(x), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x20(x), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x28(x), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x30(x), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x38(x), %rax, %r13 + adcxq %rax, %r12 + adoxq %rbp, %r13 + adcxq %rbp, %r13 + movq 0x70(x), %rdx + xorl %ebp, %ebp + mulxq (x), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + movq %r14, 0x70(z) + mulxq 0x8(x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x10(x), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x18(x), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x20(x), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x28(x), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x30(x), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x38(x), %rax, %r14 + adcxq %rax, %r13 + adoxq %rbp, %r14 + adcxq %rbp, %r14 + movq 0x78(x), %rdx + xorl %ebp, %ebp + mulxq (x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + movq %r15, 0x78(z) + mulxq 0x8(x), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x10(x), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x18(x), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x20(x), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x28(x), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x30(x), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x38(x), %rax, %r15 + adcxq %rax, %r14 + adoxq %rbp, %r15 + adcxq %rbp, %r15 + movq %r8, 0x80(z) + movq %r9, 0x88(z) + movq %r10, 0x90(z) + movq %r11, 0x98(z) + movq %r12, 0xa0(z) + movq %r13, 0xa8(z) + movq %r14, 0xb0(z) + movq %r15, 0xb8(z) + xorl %ebp, %ebp + movq 0x88(z), %r9 + movq 0x90(z), %r10 + movq 0x98(z), %r11 + movq 0xa0(z), %r12 + movq 0xa8(z), %r13 + movq 0xb0(z), %r14 + movq 0xb8(z), %r15 + movq 0x40(x), %rdx + mulxq 0x48(x), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + movq %r9, 0x88(z) + mulxq 0x50(x), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq %r10, 0x90(z) + mulxq 0x58(x), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x60(x), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x68(x), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x70(x), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x78(x), %rax, %r8 + adcxq %rax, %r15 + adoxq %rbp, %r8 + adcxq %rbp, %r8 + xorl %ebp, %ebp + movq 0x48(x), %rdx + mulxq 0x50(x), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq %r11, 0x98(z) + mulxq 0x58(x), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq %r12, 0xa0(z) + mulxq 0x60(x), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x68(x), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x70(x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x78(x), %rax, %r9 + adcxq %rax, %r8 + adoxq %rbp, %r9 + movq 0x60(x), %rdx + mulxq 0x68(x), %rax, %r10 + adcxq %rax, %r9 + adoxq %rbp, %r10 + adcxq %rbp, %r10 + xorl %ebp, %ebp + movq 0x50(x), %rdx + mulxq 0x58(x), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + movq %r13, 0xa8(z) + mulxq 0x60(x), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + movq %r14, 0xb0(z) + mulxq 0x68(x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x70(x), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x78(x), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + movq 0x70(x), %rdx + mulxq 0x60(x), %rax, %r11 + adcxq %rax, %r10 + adoxq %rbp, %r11 + mulxq 0x68(x), %rax, %r12 + adcxq %rax, %r11 + adoxq %rbp, %r12 + adcxq %rbp, %r12 + xorl %ebp, %ebp + movq 0x58(x), %rdx + mulxq 0x60(x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + movq %r15, 0xb8(z) + mulxq 0x68(x), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x70(x), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x78(x), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq 0x78(x), %rdx + mulxq 0x60(x), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x68(x), %rax, %r13 + adcxq %rax, %r12 + adoxq %rbp, %r13 + mulxq 0x70(x), %rax, %r14 + adcxq %rax, %r13 + adoxq %rbp, %r14 + adcxq %rbp, %r14 + movq %r8, 0xc0(z) + movq %r9, 0xc8(z) + movq %r10, 0xd0(z) + movq %r11, 0xd8(z) + movq %r12, 0xe0(z) + movq %r13, 0xe8(z) + movq %r14, 0xf0(z) + xorl %ebp, %ebp + movq (x), %rdx + mulxq %rdx, %rax, %rbx + movq %rax, (z) + movq 0x8(z), %rdx + adcxq %rdx, %rdx + adoxq %rbx, %rdx + movq %rdx, 0x8(z) + movq 0x8(x), %rdx + mulxq %rdx, %rax, %rbx + movq 0x10(z), %rdx + adcxq %rdx, %rdx + adoxq %rax, %rdx + movq %rdx, 0x10(z) + movq 0x18(z), %rdx + adcxq %rdx, %rdx + adoxq %rbx, %rdx + movq %rdx, 0x18(z) + movq 0x10(x), %rdx + mulxq %rdx, %rax, %rbx + movq 0x20(z), %rdx + adcxq %rdx, %rdx + adoxq %rax, %rdx + movq %rdx, 0x20(z) + movq 0x28(z), %rdx + adcxq %rdx, %rdx + adoxq %rbx, %rdx + movq %rdx, 0x28(z) + movq 0x18(x), %rdx + mulxq %rdx, %rax, %rbx + movq 0x30(z), %rdx + adcxq %rdx, %rdx + adoxq %rax, %rdx + movq %rdx, 0x30(z) + movq 0x38(z), %rdx + adcxq %rdx, %rdx + adoxq %rbx, %rdx + movq %rdx, 0x38(z) + movq 0x20(x), %rdx + mulxq %rdx, %rax, %rbx + movq 0x40(z), %rdx + adcxq %rdx, %rdx + adoxq %rax, %rdx + movq %rdx, 0x40(z) + movq 0x48(z), %rdx + adcxq %rdx, %rdx + adoxq %rbx, %rdx + movq %rdx, 0x48(z) + movq 0x28(x), %rdx + mulxq %rdx, %rax, %rbx + movq 0x50(z), %rdx + adcxq %rdx, %rdx + adoxq %rax, %rdx + movq %rdx, 0x50(z) + movq 0x58(z), %rdx + adcxq %rdx, %rdx + adoxq %rbx, %rdx + movq %rdx, 0x58(z) + movq 0x30(x), %rdx + mulxq %rdx, %rax, %rbx + movq 0x60(z), %rdx + adcxq %rdx, %rdx + adoxq %rax, %rdx + movq %rdx, 0x60(z) + movq 0x68(z), %rdx + adcxq %rdx, %rdx + adoxq %rbx, %rdx + movq %rdx, 0x68(z) + movq 0x38(x), %rdx + mulxq %rdx, %rax, %rbx + movq 0x70(z), %rdx + adcxq %rdx, %rdx + adoxq %rax, %rdx + movq %rdx, 0x70(z) + movq 0x78(z), %rdx + adcxq %rdx, %rdx + adoxq %rbx, %rdx + movq %rdx, 0x78(z) + movq 0x40(x), %rdx + mulxq %rdx, %rax, %rbx + movq 0x80(z), %rdx + adcxq %rdx, %rdx + adoxq %rax, %rdx + movq %rdx, 0x80(z) + movq 0x88(z), %rdx + adcxq %rdx, %rdx + adoxq %rbx, %rdx + movq %rdx, 0x88(z) + movq 0x48(x), %rdx + mulxq %rdx, %rax, %rbx + movq 0x90(z), %rdx + adcxq %rdx, %rdx + adoxq %rax, %rdx + movq %rdx, 0x90(z) + movq 0x98(z), %rdx + adcxq %rdx, %rdx + adoxq %rbx, %rdx + movq %rdx, 0x98(z) + movq 0x50(x), %rdx + mulxq %rdx, %rax, %rbx + movq 0xa0(z), %rdx + adcxq %rdx, %rdx + adoxq %rax, %rdx + movq %rdx, 0xa0(z) + movq 0xa8(z), %rdx + adcxq %rdx, %rdx + adoxq %rbx, %rdx + movq %rdx, 0xa8(z) + movq 0x58(x), %rdx + mulxq %rdx, %rax, %rbx + movq 0xb0(z), %rdx + adcxq %rdx, %rdx + adoxq %rax, %rdx + movq %rdx, 0xb0(z) + movq 0xb8(z), %rdx + adcxq %rdx, %rdx + adoxq %rbx, %rdx + movq %rdx, 0xb8(z) + movq 0x60(x), %rdx + mulxq %rdx, %rax, %rbx + movq 0xc0(z), %rdx + adcxq %rdx, %rdx + adoxq %rax, %rdx + movq %rdx, 0xc0(z) + movq 0xc8(z), %rdx + adcxq %rdx, %rdx + adoxq %rbx, %rdx + movq %rdx, 0xc8(z) + movq 0x68(x), %rdx + mulxq %rdx, %rax, %rbx + movq 0xd0(z), %rdx + adcxq %rdx, %rdx + adoxq %rax, %rdx + movq %rdx, 0xd0(z) + movq 0xd8(z), %rdx + adcxq %rdx, %rdx + adoxq %rbx, %rdx + movq %rdx, 0xd8(z) + movq 0x70(x), %rdx + mulxq %rdx, %rax, %rbx + movq 0xe0(z), %rdx + adcxq %rdx, %rdx + adoxq %rax, %rdx + movq %rdx, 0xe0(z) + movq 0xe8(z), %rdx + adcxq %rdx, %rdx + adoxq %rbx, %rdx + movq %rdx, 0xe8(z) + movq 0x78(x), %rdx + mulxq %rdx, %rax, %rbx + movq 0xf0(z), %rdx + adcxq %rdx, %rdx + adoxq %rax, %rdx + movq %rdx, 0xf0(z) + adcxq %rbp, %rbx + adoxq %rbp, %rbx + movq %rbx, 0xf8(z) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lbignum_ksqr_32_64_local_bignum_sqr_16_32) + +S2N_BN_SIZE_DIRECTIVE(bignum_ksqr_32_64) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_modinv.S b/cbits/s2n/x86_att/bignum_modinv.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_modinv.S @@ -0,0 +1,714 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Invert modulo m, z = (1/a) mod b, assuming b is an odd number > 1, coprime a +// Inputs a[k], b[k]; output z[k]; temporary buffer t[>=3*k] +// +// extern void bignum_modinv(uint64_t k, uint64_t *z, const uint64_t *a, +// const uint64_t *b, uint64_t *t); +// +// k-digit (digit=64 bits) "z := a^-1 mod b" (modular inverse of a modulo b) +// using t as a temporary buffer (t at least 3*k words = 24*k bytes), and +// assuming that a and b are coprime *and* that b is an odd number > 1. +// +// Standard x86-64 ABI: RDI = k, RSI = z, RDX = a, RCX = b, R8 = t +// Microsoft x64 ABI: RCX = k, RDX = z, R8 = a, R9 = b, [RSP+40] = t +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_modinv) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_modinv) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_modinv) + .text + .balign 32 + +// We get CHUNKSIZE bits per outer iteration, 64 minus a few for proxy errors + +#define CHUNKSIZE 58 + +// These variables are so fundamental we keep them consistently in registers. +// k actually stays where it was at the beginning, while l gets set up later + +#define k %rdi +#define l %r13 + +// These are kept on the stack since there aren't enough registers + +#define mat_mm (%rsp) +#define mat_mn 8(%rsp) +#define mat_nm 16(%rsp) +#define mat_nn 24(%rsp) +#define t 32(%rsp) +// Modular inverse +#define v 40(%rsp) +// We reconstruct n as m + 8*k as needed +#define m 48(%rsp) +#define w 56(%rsp) +#define z 64(%rsp) +// Original b pointer, not b the temp +#define bm 72(%rsp) + +#define STACKVARSIZE 80 + +// These get set to m/n or w/z during the cross-multiplications etc. +// Otherwise they can be used as additional temporaries + +#define p1 %r8 +#define p2 %r15 + +// These are shorthands for common temporary registers + +#define a %rax +#define b %rbx +#define c %rcx +#define d %rdx +#define i %r9 + +// Temporaries for the top proxy selection part + +#define c1 %r10 +#define c2 %r11 +#define h1 %r12 +#define h2 %rbp +#define l1 %r14 +#define l2 %rsi + +// Re-use for the actual proxies; m_hi = h1 and n_hi = h2 are assumed + +#define m_hi %r12 +#define n_hi %rbp +#define m_lo %r14 +#define n_lo %rsi + +// Re-use for the matrix entries in the inner loop, though they +// get spilled to the corresponding memory locations mat_... + +#define m_m %r10 +#define m_n %r11 +#define n_m %rcx +#define n_n %rdx + +#define ashort %eax +#define ishort %r9d +#define m_mshort %r10d +#define m_nshort %r11d +#define n_mshort %ecx +#define n_nshort %edx + +S2N_BN_SYMBOL(bignum_modinv): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx + movq %r9, %rcx + movq 56(%rsp), %r8 +#endif + +// Save all required registers and make room on stack for all the above vars + + CFI_PUSH(%rbp) + CFI_PUSH(%rbx) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(STACKVARSIZE) + +// If k = 0 then do nothing (this is out of scope anyway) + + testq k, k + jz Lbignum_modinv_end + +// Set up the additional two buffers m and n beyond w in temp space +// and record all pointers m, n, w and z in stack-based variables + + movq %rsi, z + movq %r8, w + movq %rcx, bm + leaq (%r8,k,8), %r10 + movq %r10, m + leaq (%r10,k,8), p2 + +// Initialize the main buffers with their starting values: +// m = a, n = b, w = b (to be tweaked to b - 1) and z = 0 + + xorq %r11, %r11 + xorq i, i +Lbignum_modinv_copyloop: + movq (%rdx,i,8), a + movq (%rcx,i,8), b + movq a, (%r10,i,8) + movq b, (p2,i,8) + movq b, (%r8,i,8) + movq %r11, (%rsi,i,8) + incq i + cmpq k, i + jc Lbignum_modinv_copyloop + +// Tweak down w to b - 1 (this crude approach is safe as b needs to be odd +// for it to be in scope). We have then established the congruence invariant: +// +// a * w == -m (mod b) +// a * z == n (mod b) +// +// This, with the bounds w <= b and z <= b, is maintained round the outer loop + + movq (%r8), a + movq a, b + decq b + movq b, (%r8) + +// Compute v = negated modular inverse of b mod 2^64, reusing a from above +// This is used for Montgomery reduction operations each time round the loop + + movq a, h2 + movq a, h1 + shlq $2, h2 + subq h2, h1 + xorq $2, h1 + + movq h1, h2 + imulq a, h2 + movl $2, ashort + addq h2, a + addq $1, h2 + + imulq a, h1 + + imulq h2, h2 + movl $1, ashort + addq h2, a + imulq a, h1 + + imulq h2, h2 + movl $1, ashort + addq h2, a + imulq a, h1 + + imulq h2, h2 + movl $1, ashort + addq h2, a + imulq a, h1 + + movq h1, v + +// Set up the outer loop count of 128 * k +// The invariant is that m * n < 2^t at all times. + + movq k, a + shlq $7, a + movq a, t + +// Start of the main outer loop iterated t / CHUNKSIZE times + +Lbignum_modinv_outerloop: + +// We need only bother with sharper l = min k (ceil(t/64)) digits +// for the computations on m and n (but we still need k for w and z). +// Either both m and n fit in l digits, or m has become zero and so +// nothing happens in the loop anyway and this makes no difference. + + movq t, l + addq $63, l + shrq $6, l + cmpq k, l + cmovncq k, l + +// Select upper and lower proxies for both m and n to drive the inner +// loop. The lower proxies are simply the lowest digits themselves, +// m_lo = m[0] and n_lo = n[0], while the upper proxies are bitfields +// of the two inputs selected so their top bit (63) aligns with the +// most significant bit of *either* of the two inputs. + + xorq h1, h1 // Previous high and low for m + xorq l1, l1 + xorq h2, h2 // Previous high and low for n + xorq l2, l2 + xorq c2, c2 // Mask flag: previous word of one was nonzero + // and in this case h1 and h2 are those words + + movq m, p1 + leaq (p1,k,8), p2 + xorq i, i +Lbignum_modinv_toploop: + movq (p1,i,8), b + movq (p2,i,8), c + movq c2, c1 + andq h1, c1 + andq h2, c2 + movq b, a + orq c, a + negq a + cmovcq c1, l1 + cmovcq c2, l2 + cmovcq b, h1 + cmovcq c, h2 + sbbq c2, c2 + incq i + cmpq l, i + jc Lbignum_modinv_toploop + + movq h1, a + orq h2, a + bsrq a, c + xorq $63, c + shldq %cl, l1, h1 + shldq %cl, l2, h2 + +// m_lo = m[0], n_lo = n[0]; + + movq (p1), %rax + movq %rax, m_lo + + movq (p2), %rax + movq %rax, n_lo + +// Now the inner loop, with i as loop counter from CHUNKSIZE down. +// This records a matrix of updates to apply to the initial +// values of m and n with, at stage j: +// +// sgn * m' = (m_m * m - m_n * n) / 2^j +// -sgn * n' = (n_m * m - n_n * n) / 2^j +// +// where "sgn" is either +1 or -1, and we lose track of which except +// that both instance above are the same. This throwing away the sign +// costs nothing (since we have to correct in general anyway because +// of the proxied comparison) and makes things a bit simpler. But it +// is simply the parity of the number of times the first condition, +// used as the swapping criterion, fires in this loop. + + movl $1, m_mshort + movl $0, m_nshort + movl $0, n_mshort + movl $1, n_nshort + movl $CHUNKSIZE, ishort + +// Stash more variables over the inner loop to free up regs + + movq k, mat_mn + movq l, mat_nm + movq p1, mat_mm + movq p2, mat_nn + +// Conceptually in the inner loop we follow these steps: +// +// * If m_lo is odd and m_hi < n_hi, then swap the four pairs +// (m_hi,n_hi); (m_lo,n_lo); (m_m,n_m); (m_n,n_n) +// +// * Now, if m_lo is odd (old or new, doesn't matter as initial n_lo is odd) +// m_hi := m_hi - n_hi, m_lo := m_lo - n_lo +// m_m := m_m + n_m, m_n := m_n + n_n +// +// * Halve and double them +// m_hi := m_hi / 2, m_lo := m_lo / 2 +// n_m := n_m * 2, n_n := n_n * 2 +// +// The actual computation computes updates before actually swapping and +// then corrects as needed. + +Lbignum_modinv_innerloop: + + xorl %eax, %eax + xorl %ebx, %ebx + xorq p1, p1 + xorq p2, p2 + btq $0, m_lo + + cmovcq n_hi, %rax + cmovcq n_lo, %rbx + cmovcq n_m, p1 + cmovcq n_n, p2 + + movq m_lo, l + subq %rbx, m_lo + subq l, %rbx + movq m_hi, k + subq %rax, k + cmovcq m_hi, n_hi + leaq -1(k), m_hi + cmovcq %rbx, m_lo + cmovcq l, n_lo + notq m_hi + cmovcq m_m, n_m + cmovcq m_n, n_n + cmovncq k, m_hi + + shrq $1, m_lo + addq p1, m_m + addq p2, m_n + shrq $1, m_hi + addq n_m, n_m + addq n_n, n_n + +// End of the inner for-loop + + decq i + jnz Lbignum_modinv_innerloop + +// Unstash the temporary variables + + movq mat_mn, k + movq mat_nm, l + movq mat_mm, p1 + movq mat_nn, p2 + +// Put the matrix entries in memory since we're out of registers +// We pull them out repeatedly in the next loop + + movq m_m, mat_mm + movq m_n, mat_mn + movq n_m, mat_nm + movq n_n, mat_nn + +// Apply the update to w and z, using addition in this case, and also take +// the chance to shift an additional 6 = 64-CHUNKSIZE bits to be ready for a +// Montgomery multiplication. Because we know that m_m + m_n <= 2^58 and +// w, z <= b < 2^{64k}, we know that both of these fit in k+1 words. +// We do this before the m-n update to allow us to play with c1 and c2 here. +// +// l1::w = 2^6 * (m_m * w + m_n * z) +// l2::z = 2^6 * (n_m * w + n_n * z) +// +// with c1 and c2 recording previous words for the shifting part + + movq w, p1 + movq z, p2 + xorq l1, l1 + xorq l2, l2 + xorq c1, c1 + xorq c2, c2 + xorq i, i +Lbignum_modinv_congloop: + + movq (p1,i,8), c + movq mat_mm, a + mulq c + addq a, l1 + adcq $0, d + movq d, h1 // Now h1::l1 := m_m * w + l1_in + + movq mat_nm, a + mulq c + addq a, l2 + adcq $0, d + movq d, h2 // Now h2::l2 := n_m * w + l2_in + + movq (p2,i,8), c + movq mat_mn, a + mulq c + addq a, l1 + adcq d, h1 // h1::l1 := m_m * w + m_n * z + l1_in + shrdq $CHUNKSIZE, l1, c1 + movq c1, (p1,i,8) + movq l1, c1 + movq h1, l1 + + movq mat_nn, a + mulq c + addq a, l2 + adcq d, h2 // h2::l2 := n_m * w + n_n * z + l2_in + shrdq $CHUNKSIZE, l2, c2 + movq c2, (p2,i,8) + movq l2, c2 + movq h2, l2 + + incq i + cmpq k, i + jc Lbignum_modinv_congloop + + shldq $64-CHUNKSIZE, c1, l1 + shldq $64-CHUNKSIZE, c2, l2 + +// Do a Montgomery reduction of l1::w + + movq bm, p2 + + movq (p1), b + movq v, h1 + imulq b, h1 + movq (p2), a + mulq h1 + addq b, a // Will be zero but want the carry + movq %rdx, c1 + movl $1, ishort + movq k, c + decq c + jz Lbignum_modinv_wmontend + +Lbignum_modinv_wmontloop: + adcq (p1,i,8), c1 + sbbq b, b + movq (p2,i,8), a + mulq h1 + subq b, %rdx + addq c1, a + movq a, -8(p1,i,8) + movq %rdx, c1 + incq i + decq c + jnz Lbignum_modinv_wmontloop + +Lbignum_modinv_wmontend: + adcq l1, c1 + movq c1, -8(p1,k,8) + sbbq c1, c1 + negq c1 + + movq k, c + xorq i, i +Lbignum_modinv_wcmploop: + movq (p1,i,8), a + sbbq (p2,i,8), a + incq i + decq c + jnz Lbignum_modinv_wcmploop + sbbq $0, c1 + sbbq c1, c1 + notq c1 + + xorq c, c + xorq i, i +Lbignum_modinv_wcorrloop: + movq (p1,i,8), a + movq (p2,i,8), b + andq c1, b + negq c + sbbq b, a + sbbq c, c + movq a, (p1,i,8) + incq i + cmpq k, i + jc Lbignum_modinv_wcorrloop + +// Do a Montgomery reduction of l2::z + + movq z, p1 + + movq (p1), b + movq v, h2 + imulq b, h2 + movq (p2), a + mulq h2 + addq b, a // Will be zero but want the carry + movq %rdx, c2 + movl $1, ishort + movq k, c + decq c + jz Lbignum_modinv_zmontend + +Lbignum_modinv_zmontloop: + adcq (p1,i,8), c2 + sbbq b, b + movq (p2,i,8), a + mulq h2 + subq b, %rdx + addq c2, a + movq a, -8(p1,i,8) + movq %rdx, c2 + incq i + decq c + jnz Lbignum_modinv_zmontloop + +Lbignum_modinv_zmontend: + adcq l2, c2 + movq c2, -8(p1,k,8) + sbbq c2, c2 + negq c2 + + movq k, c + xorq i, i +Lbignum_modinv_zcmploop: + movq (p1,i,8), a + sbbq (p2,i,8), a + incq i + decq c + jnz Lbignum_modinv_zcmploop + sbbq $0, c2 + sbbq c2, c2 + notq c2 + + xorq c, c + xorq i, i +Lbignum_modinv_zcorrloop: + movq (p1,i,8), a + movq (p2,i,8), b + andq c2, b + negq c + sbbq b, a + sbbq c, c + movq a, (p1,i,8) + incq i + cmpq k, i + jc Lbignum_modinv_zcorrloop + +// Now actually compute the updates to m and n corresponding to the matrix, +// and correct the signs if they have gone negative. First we compute the +// (k+1)-sized updates with the following invariant (here h1 and h2 are in +// fact carry bitmasks, either 0 or -1): +// +// h1::l1::m = m_m * m - m_n * n +// h2::l2::n = n_m * m - n_n * n + + movq m, p1 + leaq (p1,k,8), p2 + xorq i, i + xorq h1, h1 + xorq l1, l1 + xorq h2, h2 + xorq l2, l2 +Lbignum_modinv_crossloop: + + movq (p1,i,8), c + movq mat_mm, a + mulq c + addq a, l1 + adcq $0, d + movq d, c1 // Now c1::l1 is +ve part 1 + + movq mat_nm, a + mulq c + addq a, l2 + adcq $0, d + movq d, c2 // Now c2::l2 is +ve part 2 + + movq (p2,i,8), c + movq mat_mn, a + mulq c + subq h1, d // Now d::a is -ve part 1 + + subq a, l1 + sbbq d, c1 + sbbq h1, h1 + movq l1, (p1,i,8) + movq c1, l1 + + movq mat_nn, a + mulq c + subq h2, d // Now d::a is -ve part 2 + + subq a, l2 + sbbq d, c2 + sbbq h2, h2 + movq l2, (p2,i,8) + movq c2, l2 + + incq i + cmpq l, i + jc Lbignum_modinv_crossloop + +// Now fix the signs of m and n if they have gone negative + + xorq i, i + movq h1, c1 // carry-in coded up as well + movq h2, c2 // carry-in coded up as well + xorq h1, l1 // for the Lbignum_modinv_end digit + xorq h2, l2 // for the Lbignum_modinv_end digit +Lbignum_modinv_optnegloop: + movq (p1,i,8), a + xorq h1, a + negq c1 + adcq $0, a + sbbq c1, c1 + movq a, (p1,i,8) + movq (p2,i,8), a + xorq h2, a + negq c2 + adcq $0, a + sbbq c2, c2 + movq a, (p2,i,8) + incq i + cmpq l, i + jc Lbignum_modinv_optnegloop + subq c1, l1 + subq c2, l2 + +// Now shift them right CHUNKSIZE bits + + movq l, i +Lbignum_modinv_shiftloop: + movq -8(p1,i,8), a + movq a, c1 + shrdq $CHUNKSIZE, l1, a + movq a, -8(p1,i,8) + movq c1, l1 + movq -8(p2,i,8), a + movq a, c2 + shrdq $CHUNKSIZE, l2, a + movq a, -8(p2,i,8) + movq c2, l2 + decq i + jnz Lbignum_modinv_shiftloop + +// Finally, use the signs h1 and h2 to do optional modular negations of +// w and z respectively, flipping h2 to make signs work. We don't make +// any checks for zero values, but we certainly retain w <= b and z <= b. +// This is enough for the Montgomery step in the next iteration to give +// strict reduction w < b amd z < b, and anyway when we terminate we +// could not have z = b since it violates the coprimality assumption for +// in-scope cases. + + notq h2 + movq bm, c + movq w, p1 + movq z, p2 + movq h1, c1 + movq h2, c2 + xorq i, i +Lbignum_modinv_fliploop: + movq h2, d + movq (c,i,8), a + andq a, d + andq h1, a + movq (p1,i,8), b + xorq h1, b + negq c1 + adcq b, a + sbbq c1, c1 + movq a, (p1,i,8) + movq (p2,i,8), b + xorq h2, b + negq c2 + adcq b, d + sbbq c2, c2 + movq d, (p2,i,8) + incq i + cmpq k, i + jc Lbignum_modinv_fliploop + +// End of main loop. We can stop if t' <= 0 since then m * n < 2^0, which +// since n is odd and m and n are coprime (in the in-scope cases) means +// m = 0, n = 1 and hence from the congruence invariant a * z == 1 (mod b). +// Moreover we do in fact need to maintain strictly t > 0 in the main loop, +// or the computation of the optimized digit bound l could collapse to 0. + + subq $CHUNKSIZE, t + jnbe Lbignum_modinv_outerloop + +Lbignum_modinv_end: + CFI_INC_RSP(STACKVARSIZE) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbx) + CFI_POP(%rbp) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_modinv) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_montinv_p384.S b/cbits/s2n/x86_att/bignum_montinv_p384.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_montinv_p384.S @@ -0,0 +1,1834 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Montgomery inverse modulo p_384 = 2^384 - 2^128 - 2^96 + 2^32 - 1 +// Input x[6]; output z[6] +// +// extern void bignum_montinv_p384(uint64_t z[static 6], +// const uint64_t x[static 6]); +// +// If the 6-digit input x is coprime to p_384, i.e. is not divisible +// by it, returns z < p_384 such that x * z == 2^768 (mod p_384). This +// is effectively "Montgomery inverse" because if we consider x and z as +// Montgomery forms of X and Z, i.e. x == 2^384 * X and z == 2^384 * Z +// (both mod p_384) then X * Z == 1 (mod p_384). That is, this function +// gives the analog of the modular inverse bignum_inv_p384 but with both +// input and output in the Montgomery domain. Note that x does not need +// to be reduced modulo p_384, but the output always is. If the input +// is divisible (i.e. is 0 or p_384), then there can be no solution to +// the congruence x * z == 2^768 (mod p_384), and z = 0 is returned. +// +// Standard x86-64 ABI: RDI = z, RSI = x +// Microsoft x64 ABI: RCX = z, RDX = x +// ---------------------------------------------------------------------------- +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_montinv_p384) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_montinv_p384) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_montinv_p384) + .text + .balign 32 + +// Size in bytes of a 64-bit word + +#define N 8 + +// Pointer-offset pairs for temporaries on stack +// The u and v variables are 6 words each as expected, but the f and g +// variables are 8 words each -- they need to have at least one extra +// word for a sign word, and to preserve alignment we "round up" to 8. +// In fact, we currently keep an extra word in u and v as well. + +#define f 0(%rsp) +#define g (8*N)(%rsp) +#define u (16*N)(%rsp) +#define v (24*N)(%rsp) +#define tmp (32*N)(%rsp) +#define tmp2 (33*N)(%rsp) +#define i (34*N)(%rsp) +#define d (35*N)(%rsp) + +#define mat (36*N)(%rsp) + +// Backup for the input pointer + +#define res (40*N)(%rsp) + +// Total size to reserve on the stack + +#define NSPACE 42*N + +// Syntactic variants to make x86_att version simpler to generate + +#define F 0 +#define G (8*N) +#define U (16*N) +#define V (24*N) +#define MAT (36*N) + +#define ff (%rsp) +#define gg (8*N)(%rsp) + +// --------------------------------------------------------------------------- +// Core signed almost-Montgomery reduction macro from P[6..0] to P[5..0]. +// --------------------------------------------------------------------------- + +#define amontred(P) \ +/* We only know the input is -2^444 < x < 2^444. To do traditional */ \ +/* unsigned Montgomery reduction, start by adding 2^61 * p_384. */ \ + movq $0xe000000000000000, %r8 ; \ + xorl %eax, %eax ; \ + addq P, %r8 ; \ + movq $0x000000001fffffff, %r9 ; \ + leaq -1(%rax), %rax ; \ + adcq N+P, %r9 ; \ + movq $0xdfffffffe0000000, %r10 ; \ + adcq 2*N+P, %r10 ; \ + movq 3*N+P, %r11 ; \ + adcq %rax, %r11 ; \ + movq 4*N+P, %r12 ; \ + adcq %rax, %r12 ; \ + movq 5*N+P, %r13 ; \ + adcq %rax, %r13 ; \ + movq $0x1fffffffffffffff, %r14 ; \ + adcq 6*N+P, %r14 ; \ +/* Correction multiplier is %rbx = w = [d0 + (d0<<32)] mod 2^64 */ \ + movq %r8, %rbx ; \ + shlq $32, %rbx ; \ + addq %r8, %rbx ; \ +/* Construct [%rbp;%rdx;%rax;-] = (2^384 - p_384) * w */ \ +/* We know lowest word will cancel so can re-use %r8 as a temp */ \ + xorl %ebp, %ebp ; \ + movq $0xffffffff00000001, %rax ; \ + mulq %rbx; \ + movq %rdx, %r8 ; \ + movq $0x00000000ffffffff, %rax ; \ + mulq %rbx; \ + addq %r8, %rax ; \ + adcq %rbx, %rdx ; \ + adcl %ebp, %ebp ; \ +/* Now subtract that and add 2^384 * w, catching carry in %rax */ \ + subq %rax, %r9 ; \ + sbbq %rdx, %r10 ; \ + sbbq %rbp, %r11 ; \ + sbbq $0, %r12 ; \ + sbbq $0, %r13 ; \ + sbbq $0, %r14 ; \ + sbbq %rax, %rax ; \ + addq %rbx, %r14 ; \ + adcq $0, %rax ; \ +/* Now if top is nonzero we subtract p_384 (almost-Montgomery) */ \ + negq %rax; \ + movq $0x00000000ffffffff, %rbx ; \ + andq %rax, %rbx ; \ + movq $0xffffffff00000000, %rcx ; \ + andq %rax, %rcx ; \ + movq $0xfffffffffffffffe, %rdx ; \ + andq %rax, %rdx ; \ + subq %rbx, %r9 ; \ + movq %r9, P ; \ + sbbq %rcx, %r10 ; \ + movq %r10, N+P ; \ + sbbq %rdx, %r11 ; \ + movq %r11, 2*N+P ; \ + sbbq %rax, %r12 ; \ + movq %r12, 3*N+P ; \ + sbbq %rax, %r13 ; \ + movq %r13, 4*N+P ; \ + sbbq %rax, %r14 ; \ + movq %r14, 5*N+P + +// Very similar to a subroutine call to the s2n-bignum word_divstep59. +// But different in register usage and returning the final matrix as +// +// [ %r8 %r10] +// [ %r12 %r14] +// +// and also returning the matrix still negated (which doesn't matter) + +#define divstep59(din,fin,gin) \ + movq din, %rsi ; \ + movq fin, %rdx ; \ + movq gin, %rcx ; \ + movq %rdx, %rbx ; \ + andq $0xfffff, %rbx ; \ + movabsq $0xfffffe0000000000, %rax ; \ + orq %rax, %rbx ; \ + andq $0xfffff, %rcx ; \ + movabsq $0xc000000000000000, %rax ; \ + orq %rax, %rcx ; \ + movq $0xfffffffffffffffe, %rax ; \ + xorl %ebp, %ebp ; \ + movl $0x2, %edx ; \ + movq %rbx, %rdi ; \ + movq %rax, %r8 ; \ + testq %rsi, %rsi ; \ + cmovs %rbp, %r8 ; \ + testq $0x1, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + sarq $1, %rcx ; \ + movl $0x100000, %eax ; \ + leaq (%rbx,%rax), %rdx ; \ + leaq (%rcx,%rax), %rdi ; \ + shlq $0x16, %rdx ; \ + shlq $0x16, %rdi ; \ + sarq $0x2b, %rdx ; \ + sarq $0x2b, %rdi ; \ + movabsq $0x20000100000, %rax ; \ + leaq (%rbx,%rax), %rbx ; \ + leaq (%rcx,%rax), %rcx ; \ + sarq $0x2a, %rbx ; \ + sarq $0x2a, %rcx ; \ + movq %rdx, MAT(%rsp) ; \ + movq %rbx, MAT+0x8(%rsp) ; \ + movq %rdi, MAT+0x10(%rsp) ; \ + movq %rcx, MAT+0x18(%rsp) ; \ + movq fin, %r12 ; \ + imulq %r12, %rdi ; \ + imulq %rdx, %r12 ; \ + movq gin, %r13 ; \ + imulq %r13, %rbx ; \ + imulq %rcx, %r13 ; \ + addq %rbx, %r12 ; \ + addq %rdi, %r13 ; \ + sarq $0x14, %r12 ; \ + sarq $0x14, %r13 ; \ + movq %r12, %rbx ; \ + andq $0xfffff, %rbx ; \ + movabsq $0xfffffe0000000000, %rax ; \ + orq %rax, %rbx ; \ + movq %r13, %rcx ; \ + andq $0xfffff, %rcx ; \ + movabsq $0xc000000000000000, %rax ; \ + orq %rax, %rcx ; \ + movq $0xfffffffffffffffe, %rax ; \ + movl $0x2, %edx ; \ + movq %rbx, %rdi ; \ + movq %rax, %r8 ; \ + testq %rsi, %rsi ; \ + cmovs %rbp, %r8 ; \ + testq $0x1, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + sarq $1, %rcx ; \ + movl $0x100000, %eax ; \ + leaq (%rbx,%rax), %r8 ; \ + leaq (%rcx,%rax), %r10 ; \ + shlq $0x16, %r8 ; \ + shlq $0x16, %r10 ; \ + sarq $0x2b, %r8 ; \ + sarq $0x2b, %r10 ; \ + movabsq $0x20000100000, %rax ; \ + leaq (%rbx,%rax), %r15 ; \ + leaq (%rcx,%rax), %r11 ; \ + sarq $0x2a, %r15 ; \ + sarq $0x2a, %r11 ; \ + movq %r13, %rbx ; \ + movq %r12, %rcx ; \ + imulq %r8, %r12 ; \ + imulq %r15, %rbx ; \ + addq %rbx, %r12 ; \ + imulq %r11, %r13 ; \ + imulq %r10, %rcx ; \ + addq %rcx, %r13 ; \ + sarq $0x14, %r12 ; \ + sarq $0x14, %r13 ; \ + movq %r12, %rbx ; \ + andq $0xfffff, %rbx ; \ + movabsq $0xfffffe0000000000, %rax ; \ + orq %rax, %rbx ; \ + movq %r13, %rcx ; \ + andq $0xfffff, %rcx ; \ + movabsq $0xc000000000000000, %rax ; \ + orq %rax, %rcx ; \ + movq MAT(%rsp), %rax ; \ + imulq %r8, %rax ; \ + movq MAT+0x10(%rsp), %rdx ; \ + imulq %r15, %rdx ; \ + imulq MAT+0x8(%rsp), %r8 ; \ + imulq MAT+0x18(%rsp), %r15 ; \ + addq %r8, %r15 ; \ + leaq (%rax,%rdx), %r9 ; \ + movq MAT(%rsp), %rax ; \ + imulq %r10, %rax ; \ + movq MAT+0x10(%rsp), %rdx ; \ + imulq %r11, %rdx ; \ + imulq MAT+0x8(%rsp), %r10 ; \ + imulq MAT+0x18(%rsp), %r11 ; \ + addq %r10, %r11 ; \ + leaq (%rax,%rdx), %r13 ; \ + movq $0xfffffffffffffffe, %rax ; \ + movl $0x2, %edx ; \ + movq %rbx, %rdi ; \ + movq %rax, %r8 ; \ + testq %rsi, %rsi ; \ + cmovs %rbp, %r8 ; \ + testq $0x1, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + cmovs %rbp, %r8 ; \ + movq %rbx, %rdi ; \ + testq %rdx, %rcx ; \ + cmoveq %rbp, %r8 ; \ + cmoveq %rbp, %rdi ; \ + sarq $1, %rcx ; \ + xorq %r8, %rdi ; \ + xorq %r8, %rsi ; \ + btq $0x3f, %r8 ; \ + cmovbq %rcx, %rbx ; \ + movq %rax, %r8 ; \ + subq %rax, %rsi ; \ + leaq (%rcx,%rdi), %rcx ; \ + sarq $1, %rcx ; \ + movl $0x100000, %eax ; \ + leaq (%rbx,%rax), %r8 ; \ + leaq (%rcx,%rax), %r12 ; \ + shlq $0x15, %r8 ; \ + shlq $0x15, %r12 ; \ + sarq $0x2b, %r8 ; \ + sarq $0x2b, %r12 ; \ + movabsq $0x20000100000, %rax ; \ + leaq (%rbx,%rax), %r10 ; \ + leaq (%rcx,%rax), %r14 ; \ + sarq $0x2b, %r10 ; \ + sarq $0x2b, %r14 ; \ + movq %r9, %rax ; \ + imulq %r8, %rax ; \ + movq %r13, %rdx ; \ + imulq %r10, %rdx ; \ + imulq %r15, %r8 ; \ + imulq %r11, %r10 ; \ + addq %r8, %r10 ; \ + leaq (%rax,%rdx), %r8 ; \ + movq %r9, %rax ; \ + imulq %r12, %rax ; \ + movq %r13, %rdx ; \ + imulq %r14, %rdx ; \ + imulq %r15, %r12 ; \ + imulq %r11, %r14 ; \ + addq %r12, %r14 ; \ + leaq (%rax,%rdx), %r12 + +S2N_BN_SYMBOL(bignum_montinv_p384): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi +#endif + +// Save registers and make room for temporaries + + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + + CFI_DEC_RSP(NSPACE) + +// Save the return pointer for the end so we can overwrite %rdi later + + movq %rdi, res + +// Copy the constant p_384 into f including the 7th zero digit + + movl $0xffffffff, %eax + movq %rax, F(%rsp) + movq %rax, %rbx + notq %rbx + movq %rbx, F+N(%rsp) + xorl %ebp, %ebp + leaq -2(%rbp), %rcx + movq %rcx, F+2*N(%rsp) + leaq -1(%rbp), %rdx + movq %rdx, F+3*N(%rsp) + movq %rdx, F+4*N(%rsp) + movq %rdx, F+5*N(%rsp) + movq %rbp, F+6*N(%rsp) + +// Copy input but to g, reduced mod p_384 so that g <= f as assumed +// in the divstep bound proof. + + movq (%rsi), %r8 + subq %rax, %r8 + movq N(%rsi), %r9 + sbbq %rbx, %r9 + movq 2*N(%rsi), %r10 + sbbq %rcx, %r10 + movq 3*N(%rsi), %r11 + sbbq %rdx, %r11 + movq 4*N(%rsi), %r12 + sbbq %rdx, %r12 + movq 5*N(%rsi), %r13 + sbbq %rdx, %r13 + + cmovcq (%rsi), %r8 + cmovcq N(%rsi), %r9 + cmovcq 2*N(%rsi), %r10 + cmovcq 3*N(%rsi), %r11 + cmovcq 4*N(%rsi), %r12 + cmovcq 5*N(%rsi), %r13 + + movq %r8, G(%rsp) + movq %r9, G+N(%rsp) + movq %r10, G+2*N(%rsp) + movq %r11, G+3*N(%rsp) + movq %r12, G+4*N(%rsp) + movq %r13, G+5*N(%rsp) + movq %rbp, G+6*N(%rsp) + +// Also maintain reduced < 2^384 vector [u,v] such that +// [f,g] == x * 2^{5*i-843} * [u,v] (mod p_384) +// starting with [p_384,x] == x * 2^{5*0-843} * [0,2^843] (mod p_384) +// The weird-looking 5*i modifications come in because we are doing +// 64-bit word-sized Montgomery reductions at each stage, which is +// 5 bits more than the 59-bit requirement to keep things stable. +// After the 15th and last iteration and sign adjustment, when +// f == 1 for in-scope cases, we have x * 2^{75-843} * u == 1, i.e. +// x * u == 2^768 as required. + + xorl %eax, %eax + movq %rax, U(%rsp) + movq %rax, U+N(%rsp) + movq %rax, U+2*N(%rsp) + movq %rax, U+3*N(%rsp) + movq %rax, U+4*N(%rsp) + movq %rax, U+5*N(%rsp) + +// The starting constant 2^843 mod p_384 is +// 0x0000000000000800:00001000000007ff:fffff00000000000 +// :00001000000007ff:fffff00000000800:0000000000000000 +// where colons separate 64-bit subwords, least significant at the right. +// These are constructed dynamically to reduce large constant loads. + + movq %rax, V(%rsp) + movq $0xfffff00000000800, %rcx + movq %rcx, V+N(%rsp) + movq $0x00001000000007ff, %rdx + movq %rdx, V+2*N(%rsp) + btr $11, %rcx + movq %rcx, V+3*N(%rsp) + movq %rdx, V+4*N(%rsp) + bts $11, %rax + movq %rax, V+5*N(%rsp) + +// Start of main loop. We jump into the middle so that the divstep +// portion is common to the special fifteenth iteration after a uniform +// first 14. + + movq $15, i + movq $1, d + jmp Lbignum_montinv_p384_midloop + +Lbignum_montinv_p384_loop: + +// Separate out the matrix into sign-magnitude pairs + + movq %r8, %r9 + sarq $63, %r9 + xorq %r9, %r8 + subq %r9, %r8 + + movq %r10, %r11 + sarq $63, %r11 + xorq %r11, %r10 + subq %r11, %r10 + + movq %r12, %r13 + sarq $63, %r13 + xorq %r13, %r12 + subq %r13, %r12 + + movq %r14, %r15 + sarq $63, %r15 + xorq %r15, %r14 + subq %r15, %r14 + +// Adjust the initial values to allow for complement instead of negation +// This initial offset is the same for [f,g] and [u,v] compositions. +// Save it in temporary storage for the [u,v] part and do [f,g] first. + + movq %r8, %rax + andq %r9, %rax + movq %r10, %rdi + andq %r11, %rdi + addq %rax, %rdi + movq %rdi, tmp + + movq %r12, %rax + andq %r13, %rax + movq %r14, %rsi + andq %r15, %rsi + addq %rax, %rsi + movq %rsi, tmp2 + +// Now the computation of the updated f and g values. This maintains a +// 2-word carry between stages so we can conveniently insert the shift +// right by 59 before storing back, and not overwrite digits we need +// again of the old f and g values. +// +// Digit 0 of [f,g] + + xorl %ebx, %ebx + movq F(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rdi + adcq %rdx, %rbx + movq G(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rdi + adcq %rdx, %rbx + + xorl %ebp, %ebp + movq F(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rbp + movq G(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + +// Digit 1 of [f,g] + + xorl %ecx, %ecx + movq F+N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq G+N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + shrdq $59, %rbx, %rdi + movq %rdi, F(%rsp) + + xorl %edi, %edi + movq F+N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rbp + adcq %rdx, %rdi + movq G+N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rdi + shrdq $59, %rbp, %rsi + movq %rsi, G(%rsp) + +// Digit 2 of [f,g] + + xorl %esi, %esi + movq F+2*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rsi + movq G+2*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rsi + shrdq $59, %rcx, %rbx + movq %rbx, F+N(%rsp) + + xorl %ebx, %ebx + movq F+2*N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rdi + adcq %rdx, %rbx + movq G+2*N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rdi + adcq %rdx, %rbx + shrdq $59, %rdi, %rbp + movq %rbp, G+N(%rsp) + +// Digit 3 of [f,g] + + xorl %ebp, %ebp + movq F+3*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rsi + adcq %rdx, %rbp + movq G+3*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rsi + adcq %rdx, %rbp + shrdq $59, %rsi, %rcx + movq %rcx, F+2*N(%rsp) + + xorl %ecx, %ecx + movq F+3*N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rbx + adcq %rdx, %rcx + movq G+3*N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbx + adcq %rdx, %rcx + shrdq $59, %rbx, %rdi + movq %rdi, G+2*N(%rsp) + +// Digit 4 of [f,g] + + xorl %edi, %edi + movq F+4*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbp + adcq %rdx, %rdi + movq G+4*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbp + adcq %rdx, %rdi + shrdq $59, %rbp, %rsi + movq %rsi, F+3*N(%rsp) + + xorl %esi, %esi + movq F+4*N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rcx + adcq %rdx, %rsi + movq G+4*N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rcx + adcq %rdx, %rsi + shrdq $59, %rcx, %rbx + movq %rbx, G+3*N(%rsp) + +// Digits 5 and 6 of [f,g] + + movq F+5*N(%rsp), %rax + xorq %r9, %rax + movq F+6*N(%rsp), %rbx + xorq %r9, %rbx + andq %r8, %rbx + negq %rbx + mulq %r8 + addq %rax, %rdi + adcq %rdx, %rbx + movq G+5*N(%rsp), %rax + xorq %r11, %rax + movq G+6*N(%rsp), %rdx + xorq %r11, %rdx + andq %r10, %rdx + subq %rdx, %rbx + mulq %r10 + addq %rax, %rdi + adcq %rdx, %rbx + shrdq $59, %rdi, %rbp + movq %rbp, F+4*N(%rsp) + shrdq $59, %rbx, %rdi + sarq $59, %rbx + + movq F+5*N(%rsp), %rax + movq %rdi, F+5*N(%rsp) + + movq F+6*N(%rsp), %rdi + movq %rbx, F+6*N(%rsp) + + xorq %r13, %rax + xorq %r13, %rdi + andq %r12, %rdi + negq %rdi + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rdi + movq G+5*N(%rsp), %rax + xorq %r15, %rax + movq G+6*N(%rsp), %rdx + xorq %r15, %rdx + andq %r14, %rdx + subq %rdx, %rdi + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rdi + shrdq $59, %rsi, %rcx + movq %rcx, G+4*N(%rsp) + shrdq $59, %rdi, %rsi + movq %rsi, G+5*N(%rsp) + sarq $59, %rdi + movq %rdi, G+6*N(%rsp) + +// Get the initial carries back from storage and do the [u,v] accumulation + + movq tmp, %rbx + movq tmp2, %rbp + +// Digit 0 of [u,v] + + xorl %ecx, %ecx + movq U(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq V(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + + xorl %esi, %esi + movq U(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, U(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq V(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, V(%rsp) + +// Digit 1 of [u,v] + + xorl %ebx, %ebx + movq U+N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq V+N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rbx + + xorl %ebp, %ebp + movq U+N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rcx, U+N(%rsp) + addq %rax, %rsi + adcq %rdx, %rbp + movq V+N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + movq %rsi, V+N(%rsp) + +// Digit 2 of [u,v] + + xorl %ecx, %ecx + movq U+2*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq V+2*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + + xorl %esi, %esi + movq U+2*N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, U+2*N(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq V+2*N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, V+2*N(%rsp) + +// Digit 3 of [u,v] + + xorl %ebx, %ebx + movq U+3*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq V+3*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rbx + + xorl %ebp, %ebp + movq U+3*N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rcx, U+3*N(%rsp) + addq %rax, %rsi + adcq %rdx, %rbp + movq V+3*N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + movq %rsi, V+3*N(%rsp) + +// Digit 4 of [u,v] + + xorl %ecx, %ecx + movq U+4*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq V+4*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + + xorl %esi, %esi + movq U+4*N(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, U+4*N(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq V+4*N(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, V+4*N(%rsp) + +// Digits 5 and 6 of u (top is unsigned) + + movq U+5*N(%rsp), %rax + xorq %r9, %rax + movq %r9, %rbx + andq %r8, %rbx + negq %rbx + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq V+5*N(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %rbx + mulq %r10 + addq %rax, %rcx + adcq %rbx, %rdx + +// Preload for last use of old u digit 3 + + movq U+5*N(%rsp), %rax + movq %rcx, U+5*N(%rsp) + movq %rdx, U+6*N(%rsp) + +// Digits 5 and 6 of v (top is unsigned) + + xorq %r13, %rax + movq %r13, %rcx + andq %r12, %rcx + negq %rcx + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rcx + movq V+5*N(%rsp), %rax + xorq %r15, %rax + movq %r15, %rdx + andq %r14, %rdx + subq %rdx, %rcx + mulq %r14 + addq %rax, %rsi + adcq %rcx, %rdx + movq %rsi, V+5*N(%rsp) + movq %rdx, V+6*N(%rsp) + +// Montgomery reduction of u + + amontred(u) + +// Montgomery reduction of v + + amontred(v) + +Lbignum_montinv_p384_midloop: + + divstep59(d,ff,gg) + movq %rsi, d + +// Next iteration + + decq i + jnz Lbignum_montinv_p384_loop + +// The 15th and last iteration does not need anything except the +// u value and the sign of f; the latter can be obtained from the +// lowest word of f. So it's done differently from the main loop. +// Find the sign of the new f. For this we just need one digit +// since we know (for in-scope cases) that f is either +1 or -1. +// We don't explicitly shift right by 59 either, but looking at +// bit 63 (or any bit >= 60) of the unshifted result is enough +// to distinguish -1 from +1; this is then made into a mask. + + movq F(%rsp), %rax + movq G(%rsp), %rcx + imulq %r8, %rax + imulq %r10, %rcx + addq %rcx, %rax + sarq $63, %rax + +// Now separate out the matrix into sign-magnitude pairs +// and adjust each one based on the sign of f. +// +// Note that at this point we expect |f|=1 and we got its +// sign above, so then since [f,0] == x * 2^{-768} [u,v] (mod p_384) +// we want to flip the sign of u according to that of f. + + movq %r8, %r9 + sarq $63, %r9 + xorq %r9, %r8 + subq %r9, %r8 + xorq %rax, %r9 + + movq %r10, %r11 + sarq $63, %r11 + xorq %r11, %r10 + subq %r11, %r10 + xorq %rax, %r11 + + movq %r12, %r13 + sarq $63, %r13 + xorq %r13, %r12 + subq %r13, %r12 + xorq %rax, %r13 + + movq %r14, %r15 + sarq $63, %r15 + xorq %r15, %r14 + subq %r15, %r14 + xorq %rax, %r15 + +// Adjust the initial value to allow for complement instead of negation + + movq %r8, %rax + andq %r9, %rax + movq %r10, %r12 + andq %r11, %r12 + addq %rax, %r12 + +// Digit 0 of [u] + + xorl %r13d, %r13d + movq U(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r12 + adcq %rdx, %r13 + movq V(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r12 + movq %r12, U(%rsp) + adcq %rdx, %r13 + +// Digit 1 of [u] + + xorl %r14d, %r14d + movq U+N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r13 + adcq %rdx, %r14 + movq V+N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r13 + movq %r13, U+N(%rsp) + adcq %rdx, %r14 + +// Digit 2 of [u] + + xorl %r15d, %r15d + movq U+2*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r14 + adcq %rdx, %r15 + movq V+2*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r14 + movq %r14, U+2*N(%rsp) + adcq %rdx, %r15 + +// Digit 3 of [u] + + xorl %r14d, %r14d + movq U+3*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r15 + adcq %rdx, %r14 + movq V+3*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r15 + movq %r15, U+3*N(%rsp) + adcq %rdx, %r14 + +// Digit 4 of [u] + + xorl %r15d, %r15d + movq U+4*N(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r14 + adcq %rdx, %r15 + movq V+4*N(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r14 + movq %r14, U+4*N(%rsp) + adcq %rdx, %r15 + +// Digits 5 and 6 of u (top is unsigned) + + movq U+5*N(%rsp), %rax + xorq %r9, %rax + andq %r8, %r9 + negq %r9 + mulq %r8 + addq %rax, %r15 + adcq %rdx, %r9 + movq V+5*N(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %r9 + mulq %r10 + addq %rax, %r15 + movq %r15, U+5*N(%rsp) + adcq %rdx, %r9 + movq %r9, U+6*N(%rsp) + +// Montgomery reduce u + + amontred(u) + +// Perform final strict reduction mod p_384 and copy to output + + movl $0xffffffff, %eax + movq %rax, %rbx + notq %rbx + xorl %ebp, %ebp + leaq -2(%rbp), %rcx + leaq -1(%rbp), %rdx + + movq U(%rsp), %r8 + subq %rax, %r8 + movq U+N(%rsp), %r9 + sbbq %rbx, %r9 + movq U+2*N(%rsp), %r10 + sbbq %rcx, %r10 + movq U+3*N(%rsp), %r11 + sbbq %rdx, %r11 + movq U+4*N(%rsp), %r12 + sbbq %rdx, %r12 + movq U+5*N(%rsp), %r13 + sbbq %rdx, %r13 + + cmovcq U(%rsp), %r8 + cmovcq U+N(%rsp), %r9 + cmovcq U+2*N(%rsp), %r10 + cmovcq U+3*N(%rsp), %r11 + cmovcq U+4*N(%rsp), %r12 + cmovcq U+5*N(%rsp), %r13 + + movq res, %rdi + movq %r8, (%rdi) + movq %r9, N(%rdi) + movq %r10, 2*N(%rdi) + movq %r11, 3*N(%rdi) + movq %r12, 4*N(%rdi) + movq %r13, 5*N(%rdi) + +// Restore stack and registers + + CFI_INC_RSP(NSPACE) + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_montinv_p384) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_montmul_p384.S b/cbits/s2n/x86_att/bignum_montmul_p384.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_montmul_p384.S @@ -0,0 +1,291 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Montgomery multiply, z := (x * y / 2^384) mod p_384 +// Inputs x[6], y[6]; output z[6] +// +// extern void bignum_montmul_p384(uint64_t z[static 6], +// const uint64_t x[static 6], +// const uint64_t y[static 6]); +// +// Does z := (2^{-384} * x * y) mod p_384, assuming that the inputs x and y +// satisfy x * y <= 2^384 * p_384 (in particular this is true if we are in +// the "usual" case x < p_384 and y < p_384). +// +// Standard x86-64 ABI: RDI = z, RSI = x, RDX = y +// Microsoft x64 ABI: RCX = z, RDX = x, R8 = y +// ----------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_montmul_p384) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_montmul_p384) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_montmul_p384) + .text + +#define z %rdi +#define x %rsi + +// We move the y argument here so we can use %rdx for multipliers + +#define y %rcx + +// Some temp registers for the last correction stage + +#define d %rax +#define u %rdx +#define v %rcx +#define w %rbx + +// Add %rdx * m into a register-pair (high,low) +// maintaining consistent double-carrying with adcx and adox, +// using %rax and %rbx as temporaries + +#define mulpadd(high,low,m) \ + mulxq m, %rax, %rbx ; \ + adcxq %rax, low ; \ + adoxq %rbx, high + +// Core one-step Montgomery reduction macro. Takes input in +// [d7;d6;d5;d4;d3;d2;d1;d0] and returns result in [d7;d6;d5;d4;d3;d2;d1], +// adding to the existing contents, re-using d0 as a temporary internally +// +// We want to add (2^384 - 2^128 - 2^96 + 2^32 - 1) * w +// where w = [d0 + (d0<<32)] mod 2^64 +// +// montredc(d7,d6,d5,d4,d3,d2,d1,d0) +// +// This particular variant, with its mix of addition and subtraction +// at the top, is not intended to maintain a coherent carry or borrow out. +// It is assumed the final result would fit in [d7;d6;d5;d4;d3;d2;d1]. +// which is always the case here as the top word is even always in {0,1} + +#define montredc(d7,d6,d5,d4,d3,d2,d1,d0) \ +/* Our correction multiplier is w = [d0 + (d0<<32)] mod 2^64 */ \ + movq d0, %rdx ; \ + shlq $32, %rdx ; \ + addq d0, %rdx ; \ +/* Construct [%rbp;%rbx;%rax;-] = (2^384 - p_384) * w */ \ +/* We know the lowest word will cancel so we can re-use d0 as a temp */ \ + xorl %ebp, %ebp ; \ + movq $0xffffffff00000001, %rax ; \ + mulxq %rax, %rbx, %rax ; \ + movl $0x00000000ffffffff, %ebx ; \ + mulxq %rbx, d0, %rbx ; \ + adcq d0, %rax ; \ + adcq %rdx, %rbx ; \ + adcl %ebp, %ebp ; \ +/* Now subtract that and add 2^384 * w */ \ + subq %rax, d1 ; \ + sbbq %rbx, d2 ; \ + sbbq %rbp, d3 ; \ + sbbq $0, d4 ; \ + sbbq $0, d5 ; \ + sbbq $0, %rdx ; \ + addq %rdx, d6 ; \ + adcq $0, d7 + +S2N_BN_SYMBOL(bignum_montmul_p384): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx +#endif + +// Save more registers to play with + + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + +// Copy y into a safe register to start with + + movq %rdx, y + +// Do row 0 computation, which is a bit different: +// set up initial window [%r14,%r13,%r12,%r11,%r10,%r9,%r8] = y[0] * x +// Unlike later, we only need a single carry chain + + movq (y), %rdx + xorl %r15d, %r15d + mulxq (x), %r8, %r9 + mulxq 8(x), %rbx, %r10 + addq %rbx, %r9 + mulxq 16(x), %rbx, %r11 + adcq %rbx, %r10 + mulxq 24(x), %rbx, %r12 + adcq %rbx, %r11 + mulxq 32(x), %rbx, %r13 + adcq %rbx, %r12 + mulxq 40(x), %rbx, %r14 + adcq %rbx, %r13 + adcq %r15, %r14 + +// Montgomery reduce the zeroth window + + montredc(%r15, %r14,%r13,%r12,%r11,%r10,%r9,%r8) + +// Add row 1 + + movq 8(y), %rdx + xorl %r8d, %r8d + mulpadd(%r10,%r9,(x)) + mulpadd(%r11,%r10, 8(x)) + mulpadd(%r12,%r11,16(x)) + mulpadd(%r13,%r12,24(x)) + mulpadd(%r14,%r13,32(x)) + adoxq %r8, %r15 + mulxq 40(x), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r8, %r8 + +// Montgomery reduce window 1 + + montredc(%r8, %r15,%r14,%r13,%r12,%r11,%r10,%r9) + +// Add row 2 + + movq 16(y), %rdx + xorl %r9d, %r9d + mulpadd(%r11,%r10,(x)) + mulpadd(%r12,%r11,8(x)) + mulpadd(%r13,%r12,16(x)) + mulpadd(%r14,%r13,24(x)) + mulpadd(%r15,%r14,32(x)) + adoxq %r9, %r8 + mulxq 40(x), %rax, %rbx + adcq %rax, %r15 + adcq %rbx, %r8 + adcq %r9, %r9 + +// Montgomery reduce window 2 + + montredc(%r9, %r8,%r15,%r14,%r13,%r12,%r11,%r10) + +// Add row 3 + + movq 24(y), %rdx + xorl %r10d, %r10d + mulpadd(%r12,%r11,(x)) + mulpadd(%r13,%r12,8(x)) + mulpadd(%r14,%r13,16(x)) + mulpadd(%r15,%r14,24(x)) + mulpadd(%r8,%r15,32(x)) + adoxq %r10, %r9 + mulxq 40(x), %rax, %rbx + adcq %rax, %r8 + adcq %rbx, %r9 + adcq %r10, %r10 + +// Montgomery reduce window 3 + + montredc(%r10, %r9,%r8,%r15,%r14,%r13,%r12,%r11) + +// Add row 4 + + movq 32(y), %rdx + xorl %r11d, %r11d + mulpadd(%r13,%r12,(x)) + mulpadd(%r14,%r13,8(x)) + mulpadd(%r15,%r14,16(x)) + mulpadd(%r8,%r15,24(x)) + mulpadd(%r9,%r8,32(x)) + adoxq %r11, %r10 + mulxq 40(x), %rax, %rbx + adcq %rax, %r9 + adcq %rbx, %r10 + adcq %r11, %r11 + +// Montgomery reduce window 4 + + montredc(%r11, %r10,%r9,%r8,%r15,%r14,%r13,%r12) + +// Add row 5 + + movq 40(y), %rdx + xorl %r12d, %r12d + mulpadd(%r14,%r13,(x)) + mulpadd(%r15,%r14,8(x)) + mulpadd(%r8,%r15,16(x)) + mulpadd(%r9,%r8,24(x)) + mulpadd(%r10,%r9,32(x)) + adoxq %r12, %r11 + mulxq 40(x), %rax, %rbx + adcq %rax, %r10 + adcq %rbx, %r11 + adcq %r12, %r12 + +// Montgomery reduce window 5 + + montredc(%r12, %r11,%r10,%r9,%r8,%r15,%r14,%r13) + +// We now have a pre-reduced 7-word form z = [%r12; %r11;%r10;%r9;%r8;%r15;%r14] +// Next, accumulate in different registers z - p_384, or more precisely +// +// [%r12; %r13;%rbp;%rdx;%rcx;%rbx;%rax] = z + (2^384 - p_384) + + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + + movq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0x00000000ffffffff, %ebx + adcq %r15, %rbx + movl $0x0000000000000001, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0, %r12 + +// ~ZF <=> %r12 >= 1 <=> z + (2^384 - p_384) >= 2^384 <=> z >= p_384, which +// determines whether to use the further reduced argument or the original z. + + cmovnzq %rax, %r14 + cmovnzq %rbx, %r15 + cmovnzq %rcx, %r8 + cmovnzq %rdx, %r9 + cmovnzq %rbp, %r10 + cmovnzq %r13, %r11 + +// Write back the result + + movq %r14, (z) + movq %r15, 8(z) + movq %r8, 16(z) + movq %r9, 24(z) + movq %r10, 32(z) + movq %r11, 40(z) + +// Restore registers and return + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_montmul_p384) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_montmul_p384_alt.S b/cbits/s2n/x86_att/bignum_montmul_p384_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_montmul_p384_alt.S @@ -0,0 +1,316 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Montgomery multiply, z := (x * y / 2^384) mod p_384 +// Inputs x[6], y[6]; output z[6] +// +// extern void bignum_montmul_p384_alt(uint64_t z[static 6], +// const uint64_t x[static 6], +// const uint64_t y[static 6]); +// +// Does z := (2^{-384} * x * y) mod p_384, assuming that the inputs x and y +// satisfy x * y <= 2^384 * p_384 (in particular this is true if we are in +// the "usual" case x < p_384 and y < p_384). +// +// Standard x86-64 ABI: RDI = z, RSI = x, RDX = y +// Microsoft x64 ABI: RCX = z, RDX = x, R8 = y +// ----------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_montmul_p384_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_montmul_p384_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_montmul_p384_alt) + .text + +#define z %rdi +#define x %rsi + +// We move the y argument here so we can use %rdx for multipliers + +#define y %rcx + +// Some temp registers for the last correction stage + +#define d %rax +#define u %rdx +#define v %rcx +#define w %rbx + +// Add %rbx * m into a register-pair (high,low) maintaining consistent +// carry-catching with carry (negated, as bitmask) and using %rax and %rdx +// as temporaries + +#define mulpadd(carry,high,low,m) \ + movq m, %rax ; \ + mulq %rbx; \ + subq carry, %rdx ; \ + addq %rax, low ; \ + adcq %rdx, high ; \ + sbbq carry, carry + +// Initial version assuming no carry-in + +#define mulpadi(carry,high,low,m) \ + movq m, %rax ; \ + mulq %rbx; \ + addq %rax, low ; \ + adcq %rdx, high ; \ + sbbq carry, carry + +// End version not catching the top carry-out + +#define mulpade(carry,high,low,m) \ + movq m, %rax ; \ + mulq %rbx; \ + subq carry, %rdx ; \ + addq %rax, low ; \ + adcq %rdx, high + +// Core one-step Montgomery reduction macro. Takes input in +// [d7;d6;d5;d4;d3;d2;d1;d0] and returns result in [d7;d6;d5;d4;d3;d2;d1], +// adding to the existing contents, re-using d0 as a temporary internally +// +// We want to add (2^384 - 2^128 - 2^96 + 2^32 - 1) * w +// where w = [d0 + (d0<<32)] mod 2^64 +// +// montredc(d7,d6,d5,d4,d3,d2,d1,d0) +// +// This particular variant, with its mix of addition and subtraction +// at the top, is not intended to maintain a coherent carry or borrow out. +// It is assumed the final result would fit in [d7;d6;d5;d4;d3;d2;d1]. +// which is always the case here as the top word is even always in {0,1} + +#define montredc(d7,d6,d5,d4,d3,d2,d1,d0) \ +/* Our correction multiplier is w = [d0 + (d0<<32)] mod 2^64 */ \ + movq d0, %rbx ; \ + shlq $32, %rbx ; \ + addq d0, %rbx ; \ +/* Construct [%rbp;%rdx;%rax;-] = (2^384 - p_384) * w */ \ +/* We know the lowest word will cancel so we can re-use d0 as a temp */ \ + xorl %ebp, %ebp ; \ + movq $0xffffffff00000001, %rax ; \ + mulq %rbx; \ + movq %rdx, d0 ; \ + movq $0x00000000ffffffff, %rax ; \ + mulq %rbx; \ + addq d0, %rax ; \ + adcq %rbx, %rdx ; \ + adcl %ebp, %ebp ; \ +/* Now subtract that and add 2^384 * w */ \ + subq %rax, d1 ; \ + sbbq %rdx, d2 ; \ + sbbq %rbp, d3 ; \ + sbbq $0, d4 ; \ + sbbq $0, d5 ; \ + sbbq $0, %rbx ; \ + addq %rbx, d6 ; \ + adcq $0, d7 + +S2N_BN_SYMBOL(bignum_montmul_p384_alt): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx +#endif + +// Save more registers to play with + + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + +// Copy y into a safe register to start with + + movq %rdx, y + +// Do row 0 computation, which is a bit different: +// set up initial window [%r14,%r13,%r12,%r11,%r10,%r9,%r8] = y[0] * x +// Unlike later, we only need a single carry chain + + movq (y), %rbx + movq (x), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + + movq 8(x), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + + movq 16(x), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + + movq 24(x), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + + movq 32(x), %rax + mulq %rbx + xorl %r13d, %r13d + addq %rax, %r12 + adcq %rdx, %r13 + + movq 40(x), %rax + mulq %rbx + xorl %r14d, %r14d + addq %rax, %r13 + adcq %rdx, %r14 + + xorl %r15d, %r15d + +// Montgomery reduce the zeroth window + + montredc(%r15, %r14,%r13,%r12,%r11,%r10,%r9,%r8) + +// Add row 1 + + movq 8(y), %rbx + mulpadi(%r8,%r10,%r9,(x)) + mulpadd(%r8,%r11,%r10,8(x)) + mulpadd(%r8,%r12,%r11,16(x)) + mulpadd(%r8,%r13,%r12,24(x)) + mulpadd(%r8,%r14,%r13,32(x)) + mulpadd(%r8,%r15,%r14,40(x)) + negq %r8 + +// Montgomery reduce window 1 + + montredc(%r8, %r15,%r14,%r13,%r12,%r11,%r10,%r9) + +// Add row 2 + + movq 16(y), %rbx + mulpadi(%r9,%r11,%r10,(x)) + mulpadd(%r9,%r12,%r11,8(x)) + mulpadd(%r9,%r13,%r12,16(x)) + mulpadd(%r9,%r14,%r13,24(x)) + mulpadd(%r9,%r15,%r14,32(x)) + mulpadd(%r9,%r8,%r15,40(x)) + negq %r9 + +// Montgomery reduce window 2 + + montredc(%r9, %r8,%r15,%r14,%r13,%r12,%r11,%r10) + +// Add row 3 + + movq 24(y), %rbx + mulpadi(%r10,%r12,%r11,(x)) + mulpadd(%r10,%r13,%r12,8(x)) + mulpadd(%r10,%r14,%r13,16(x)) + mulpadd(%r10,%r15,%r14,24(x)) + mulpadd(%r10,%r8,%r15,32(x)) + mulpadd(%r10,%r9,%r8,40(x)) + negq %r10 + +// Montgomery reduce window 3 + + montredc(%r10, %r9,%r8,%r15,%r14,%r13,%r12,%r11) + +// Add row 4 + + movq 32(y), %rbx + mulpadi(%r11,%r13,%r12,(x)) + mulpadd(%r11,%r14,%r13,8(x)) + mulpadd(%r11,%r15,%r14,16(x)) + mulpadd(%r11,%r8,%r15,24(x)) + mulpadd(%r11,%r9,%r8,32(x)) + mulpadd(%r11,%r10,%r9,40(x)) + negq %r11 + +// Montgomery reduce window 4 + + montredc(%r11, %r10,%r9,%r8,%r15,%r14,%r13,%r12) + +// Add row 5 + + movq 40(y), %rbx + mulpadi(%r12,%r14,%r13,(x)) + mulpadd(%r12,%r15,%r14,8(x)) + mulpadd(%r12,%r8,%r15,16(x)) + mulpadd(%r12,%r9,%r8,24(x)) + mulpadd(%r12,%r10,%r9,32(x)) + mulpadd(%r12,%r11,%r10,40(x)) + negq %r12 + +// Montgomery reduce window 5 + + montredc(%r12, %r11,%r10,%r9,%r8,%r15,%r14,%r13) + +// We now have a pre-reduced 7-word form z = [%r12; %r11;%r10;%r9;%r8;%r15;%r14] +// Next, accumulate in different registers z - p_384, or more precisely +// +// [%r12; %r13;%rbp;%rdx;%rcx;%rbx;%rax] = z + (2^384 - p_384) + + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + + movq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0x00000000ffffffff, %ebx + adcq %r15, %rbx + movl $0x0000000000000001, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0, %r12 + +// ~ZF <=> %r12 >= 1 <=> z + (2^384 - p_384) >= 2^384 <=> z >= p_384, which +// determines whether to use the further reduced argument or the original z. + + cmovnzq %rax, %r14 + cmovnzq %rbx, %r15 + cmovnzq %rcx, %r8 + cmovnzq %rdx, %r9 + cmovnzq %rbp, %r10 + cmovnzq %r13, %r11 + +// Write back the result + + movq %r14, (z) + movq %r15, 8(z) + movq %r8, 16(z) + movq %r9, 24(z) + movq %r10, 32(z) + movq %r11, 40(z) + +// Restore registers and return + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_montmul_p384_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_montsqr_p384.S b/cbits/s2n/x86_att/bignum_montsqr_p384.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_montsqr_p384.S @@ -0,0 +1,294 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Montgomery square, z := (x^2 / 2^384) mod p_384 +// Input x[6]; output z[6] +// +// extern void bignum_montsqr_p384(uint64_t z[static 6], +// const uint64_t x[static 6]); +// +// Does z := (x^2 / 2^384) mod p_384, assuming x^2 <= 2^384 * p_384, which is +// guaranteed in particular if x < p_384 initially (the "intended" case). +// +// Standard x86-64 ABI: RDI = z, RSI = x +// Microsoft x64 ABI: RCX = z, RDX = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_montsqr_p384) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_montsqr_p384) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_montsqr_p384) + .text + +#define z %rdi +#define x %rsi + +// Some temp registers for the last correction stage + +#define d %rax +#define u %rdx +#define v %r10 +#define w %r11 + +// A zero register, very often + +#define zero %rbp +#define zeroe %ebp + +// Add %rdx * m into a register-pair (high,low) +// maintaining consistent double-carrying with adcx and adox, +// using %rax and %rbx as temporaries + +#define mulpadd(high,low,m) \ + mulxq m, %rax, %rbx ; \ + adcxq %rax, low ; \ + adoxq %rbx, high + +// Core one-step "short" Montgomery reduction macro. Takes input in +// [d5;d4;d3;d2;d1;d0] and returns result in [d6;d5;d4;d3;d2;d1], +// adding to the existing [d5;d4;d3;d2;d1] and re-using d0 as a +// temporary internally, as well as %rax, %rbx and %rdx. +// It is OK for d6 and d0 to be the same register (they often are) +// +// We want to add (2^384 - 2^128 - 2^96 + 2^32 - 1) * w +// where w = [d0 + (d0<<32)] mod 2^64 +// +// montreds(d6,d5,d4,d3,d2,d1,d0) + +#define montreds(d6,d5,d4,d3,d2,d1,d0) \ +/* Our correction multiplier is w = [d0 + (d0<<32)] mod 2^64 */ \ + movq d0, %rdx ; \ + shlq $32, %rdx ; \ + addq d0, %rdx ; \ +/* Construct [%rbx;d0;%rax;-] = (2^384 - p_384) * w */ \ +/* We know the lowest word will cancel so we can re-use d0 */ \ +/* and %rbx as temps. */ \ + movq $0xffffffff00000001, %rax ; \ + mulxq %rax, d0, %rax ; \ + movl $0x00000000ffffffff, %ebx ; \ + mulxq %rbx, %rbx, d0 ; \ + addq %rbx, %rax ; \ + adcq %rdx, d0 ; \ + movl $0, %ebx ; \ + adcq %rbx, %rbx ; \ +/* Now subtract that and add 2^384 * w */ \ + subq %rax, d1 ; \ + sbbq d0, d2 ; \ + sbbq %rbx, d3 ; \ + sbbq $0, d4 ; \ + sbbq $0, d5 ; \ + movq %rdx, d6 ; \ + sbbq $0, d6 + +S2N_BN_SYMBOL(bignum_montsqr_p384): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi +#endif + +// Save more registers to play with + + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + +// Set up an initial window [%rcx;%r15;...%r9] = [34;05;03;01] +// Note that we are using %rcx as the first step past the rotating window + + movq (x), %rdx + mulxq 8(x), %r9, %r10 + mulxq 24(x), %r11, %r12 + mulxq 40(x), %r13, %r14 + movq 24(x), %rdx + mulxq 32(x), %r15, %rcx + +// Clear our zero register, and also initialize the flags for the carry chain + + xorl zeroe, zeroe + +// Chain in the addition of 02 + 12 + 13 + 14 + 15 to that window +// (no carry-out possible) + + movq 16(x), %rdx + mulpadd(%r11,%r10,(x)) + mulpadd(%r12,%r11,8(x)) + movq 8(x), %rdx + mulpadd(%r13,%r12,24(x)) + mulpadd(%r14,%r13,32(x)) + mulpadd(%r15,%r14,40(x)) + adcxq zero, %r15 + adoxq zero, %rcx + adcq zero, %rcx + +// Again zero out the flags. Actually they are already cleared but it may +// help decouple these in the OOO engine not to wait for the chain above + + xorl zeroe, zeroe + +// Now chain in the 04 + 23 + 24 + 25 + 35 + 45 terms +// We are running out of registers in our rotating window, so we start +// using %rbx (and hence need care with using mulpadd after this). Thus +// our result so far is in [%rbp;%rbx;%rcx;%r15;...%r9] + + movq 32(x), %rdx + mulpadd(%r13,%r12,(x)) + movq 16(x), %rdx + mulpadd(%r14,%r13,24(x)) + mulpadd(%r15,%r14,32(x)) + mulxq 40(x), %rax, %rdx + adcxq %rax, %r15 + adoxq %rdx, %rcx + +// First set up the last couple of spots in our window, [%rbp;%rbx] = 45 +// then add the last other term 35 + + movq 40(x), %rdx + mulxq 32(x), %rbx, %rbp + mulxq 24(x), %rax, %rdx + adcxq %rax, %rcx + adoxq %rdx, %rbx + movl $0, %eax + adcxq %rax, %rbx + adoxq %rax, %rbp + adcq %rax, %rbp + +// Just for a clear fresh start for the flags; we don't use the zero + + xorq %rax, %rax + +// Double and add to the 00 + 11 + 22 + 33 + 44 + 55 terms +// For one glorious moment the entire squaring result is all in the +// register file as [%rsi;%rbp;%rbx;%rcx;%r15;...;%r8] +// (since we've now finished with x we can re-use %rsi) + + movq (x), %rdx + mulxq (x), %r8, %rax + adcxq %r9, %r9 + adoxq %rax, %r9 + movq 8(x), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 16(x), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 24(x), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %r15, %r15 + adoxq %rdx, %r15 + movq 32(x), %rdx + mulxq %rdx, %rax, %rdx + adcxq %rcx, %rcx + adoxq %rax, %rcx + adcxq %rbx, %rbx + adoxq %rdx, %rbx + movq 40(x), %rdx + mulxq %rdx, %rax, %rsi + adcxq %rbp, %rbp + adoxq %rax, %rbp + movl $0, %eax + adcxq %rax, %rsi + adoxq %rax, %rsi + +// We need just *one* more register as a temp for the Montgomery steps. +// Since we are writing to the z buffer anyway, make use of that to stash %rbx. + + movq %rbx, (z) + +// Montgomery reduce the %r13,...,%r8 window 6 times + + montreds(%r8,%r13,%r12,%r11,%r10,%r9,%r8) + montreds(%r9,%r8,%r13,%r12,%r11,%r10,%r9) + montreds(%r10,%r9,%r8,%r13,%r12,%r11,%r10) + montreds(%r11,%r10,%r9,%r8,%r13,%r12,%r11) + montreds(%r12,%r11,%r10,%r9,%r8,%r13,%r12) + montreds(%r13,%r12,%r11,%r10,%r9,%r8,%r13) + +// Now we can safely restore %rbx before accumulating + + movq (z), %rbx + + addq %r8, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r11, %rbx + adcq %r12, %rbp + adcq %r13, %rsi + movl $0, %r8d + adcq %r8, %r8 + +// We now have a pre-reduced 7-word form z = [%r8; %rsi;%rbp;%rbx;%rcx;%r15;%r14] +// Next, accumulate in different registers z - p_384, or more precisely +// +// [%r8; %r13;%r12;%r11;%r10;%r9;%rax] = z + (2^384 - p_384) + + xorq %r11, %r11 + xorq %r12, %r12 + xorq %r13, %r13 + movq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0x00000000ffffffff, %r9d + adcq %r15, %r9 + movl $0x0000000000000001, %r10d + adcq %rcx, %r10 + adcq %rbx, %r11 + adcq %rbp, %r12 + adcq %rsi, %r13 + adcq $0, %r8 + +// ~ZF <=> %r12 >= 1 <=> z + (2^384 - p_384) >= 2^384 <=> z >= p_384, which +// determines whether to use the further reduced argument or the original z. + + cmovnzq %rax, %r14 + cmovnzq %r9, %r15 + cmovnzq %r10, %rcx + cmovnzq %r11, %rbx + cmovnzq %r12, %rbp + cmovnzq %r13, %rsi + +// Write back the result + + movq %r14, (z) + movq %r15, 8(z) + movq %rcx, 16(z) + movq %rbx, 24(z) + movq %rbp, 32(z) + movq %rsi, 40(z) + +// Restore registers and return + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_montsqr_p384) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_montsqr_p384_alt.S b/cbits/s2n/x86_att/bignum_montsqr_p384_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_montsqr_p384_alt.S @@ -0,0 +1,339 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Montgomery square, z := (x^2 / 2^384) mod p_384 +// Input x[6]; output z[6] +// +// extern void bignum_montsqr_p384_alt(uint64_t z[static 6], +// const uint64_t x[static 6]); +// +// Does z := (x^2 / 2^384) mod p_384, assuming x^2 <= 2^384 * p_384, which is +// guaranteed in particular if x < p_384 initially (the "intended" case). +// +// Standard x86-64 ABI: RDI = z, RSI = x +// Microsoft x64 ABI: RCX = z, RDX = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_montsqr_p384_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_montsqr_p384_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_montsqr_p384_alt) + .text + +#define z %rdi +#define x %rsi + +// Some temp registers for the last correction stage + +#define d %rax +#define u %rdx +#define v %r10 +#define w %r11 + +// A zero register, very often + +#define zero %rbp +#define zeroe %ebp + +// Add %rbx * m into a register-pair (high,low) maintaining consistent +// carry-catching with carry (negated, as bitmask) and using %rax and %rdx +// as temporaries + +#define mulpadd(carry,high,low,m) \ + movq m, %rax ; \ + mulq %rbx; \ + subq carry, %rdx ; \ + addq %rax, low ; \ + adcq %rdx, high ; \ + sbbq carry, carry + +// Initial version assuming no carry-in + +#define mulpadi(carry,high,low,m) \ + movq m, %rax ; \ + mulq %rbx; \ + addq %rax, low ; \ + adcq %rdx, high ; \ + sbbq carry, carry + +// End version not catching the top carry-out + +#define mulpade(carry,high,low,m) \ + movq m, %rax ; \ + mulq %rbx; \ + subq carry, %rdx ; \ + addq %rax, low ; \ + adcq %rdx, high + +// Core one-step "short" Montgomery reduction macro. Takes input in +// [d5;d4;d3;d2;d1;d0] and returns result in [d6;d5;d4;d3;d2;d1], +// adding to the existing [d5;d4;d3;d2;d1] and re-using d0 as a +// temporary internally, as well as %rax, %rbx and %rdx. +// It is OK for d6 and d0 to be the same register (they often are) +// +// We want to add (2^384 - 2^128 - 2^96 + 2^32 - 1) * w +// where w = [d0 + (d0<<32)] mod 2^64 +// +// montreds(d6,d5,d4,d3,d2,d1,d0) + +#define montreds(d6,d5,d4,d3,d2,d1,d0) \ +/* Our correction multiplier is w = [d0 + (d0<<32)] mod 2^64 */ \ + movq d0, %rbx ; \ + shlq $32, %rbx ; \ + addq d0, %rbx ; \ +/* Construct [%rax;%rdx;d0;-] = (2^384 - p_384) * w */ \ +/* We know the lowest word will cancel so we can re-use d0 */ \ +/* and %rbx as temps. */ \ + movq $0xffffffff00000001, %rax ; \ + mulq %rbx; \ + movq %rdx, d0 ; \ + movq $0x00000000ffffffff, %rax ; \ + mulq %rbx; \ + addq %rax, d0 ; \ + movl $0, %eax ; \ + adcq %rbx, %rdx ; \ + adcl %eax, %eax ; \ +/* Now subtract that and add 2^384 * w */ \ + subq d0, d1 ; \ + sbbq %rdx, d2 ; \ + sbbq %rax, d3 ; \ + sbbq $0, d4 ; \ + sbbq $0, d5 ; \ + movq %rbx, d6 ; \ + sbbq $0, d6 + +S2N_BN_SYMBOL(bignum_montsqr_p384_alt): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi +#endif + +// Save more registers to play with + + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + +// Set up an initial window [%rcx;%r15;...%r9] = [34;05;03;01] +// Note that we are using %rcx as the first step past the rotating window + + movq (x), %rbx + movq 8(x), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + + movq 24(x), %rax + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + + movq 40(x), %rax + mulq %rbx + movq %rax, %r13 + movq %rdx, %r14 + + movq 24(x), %rax + mulq 32(x) + movq %rax, %r15 + movq %rdx, %rcx + +// Chain in the addition of 02 + 12 + 13 + 14 + 15 to that window +// (no carry-out possible) + + movq 16(x), %rbx + mulpadi(%rbp,%r11,%r10,(x)) + mulpadd(%rbp,%r12,%r11,8(x)) + movq 8(x), %rbx + mulpadd(%rbp,%r13,%r12,24(x)) + mulpadd(%rbp,%r14,%r13,32(x)) + mulpade(%rbp,%r15,%r14,40(x)) + adcq $0, %rcx + +// Now chain in the 04 + 23 + 24 + 25 + 35 + 45 terms +// We are running out of registers in our rotating window, so we start +// using %rbx (and hence need care with using mulpadd after this). Thus +// our result so far is in [%rbp;%rbx;%rcx;%r15;...%r9] + + movq 32(x), %rbx + mulpadi(%rbp,%r13,%r12,(x)) + movq 16(x), %rbx + mulpadd(%rbp,%r14,%r13,24(x)) + mulpadd(%rbp,%r15,%r14,32(x)) + mulpadd(%rbp,%rcx,%r15,40(x)) + + xorl %ebx, %ebx + movq 24(x), %rax + mulq 40(x) + subq %rbp, %rdx + xorl %ebp, %ebp + addq %rax, %rcx + adcq %rdx, %rbx + adcl %ebp, %ebp + movq 32(x), %rax + mulq 40(x) + addq %rax, %rbx + adcq %rdx, %rbp + +// Double the window as [%r8;%rbp;%rbx;%rcx;%r15;...%r9] + + xorl %r8d, %r8d + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %r15, %r15 + adcq %rcx, %rcx + adcq %rbx, %rbx + adcq %rbp, %rbp + adcl %r8d, %r8d + +// Add the doubled window to the 00 + 11 + 22 + 33 + 44 + 55 terms +// For one glorious moment the entire squaring result is all in the +// register file as [%rsi;%rbp;%rbx;%rcx;%r15;...;%r8] +// (since we've now finished with x we can re-use %rsi). But since +// we are so close to running out of registers, we do a bit of +// reshuffling and temporary storage in the output buffer. + + movq (x), %rax + mulq %rax + movq %r8, (z) + movq %rax, %r8 + movq 8(x), %rax + movq %rbp, 8(z) + addq %rdx, %r9 + sbbq %rbp, %rbp + + mulq %rax + negq %rbp + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + + movq 16(x), %rax + mulq %rax + negq %rbp + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + + movq 24(x), %rax + mulq %rax + negq %rbp + adcq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + + movq 32(x), %rax + mulq %rax + negq %rbp + adcq %rax, %rcx + adcq %rdx, %rbx + sbbq %rbp, %rbp + + movq 40(x), %rax + mulq %rax + negq %rbp + adcq 8(z), %rax + adcq (z), %rdx + movq %rax, %rbp + movq %rdx, %rsi + +// We need just *one* more register as a temp for the Montgomery steps. +// Since we are writing to the z buffer anyway, make use of that again +// to stash %rbx. + + movq %rbx, (z) + +// Montgomery reduce the %r13,...,%r8 window 6 times + + montreds(%r8,%r13,%r12,%r11,%r10,%r9,%r8) + montreds(%r9,%r8,%r13,%r12,%r11,%r10,%r9) + montreds(%r10,%r9,%r8,%r13,%r12,%r11,%r10) + montreds(%r11,%r10,%r9,%r8,%r13,%r12,%r11) + montreds(%r12,%r11,%r10,%r9,%r8,%r13,%r12) + montreds(%r13,%r12,%r11,%r10,%r9,%r8,%r13) + +// Now we can safely restore %rbx before accumulating + + movq (z), %rbx + + addq %r8, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r11, %rbx + adcq %r12, %rbp + adcq %r13, %rsi + movl $0, %r8d + adcq %r8, %r8 + +// We now have a pre-reduced 7-word form z = [%r8; %rsi;%rbp;%rbx;%rcx;%r15;%r14] +// Next, accumulate in different registers z - p_384, or more precisely +// +// [%r8; %r13;%r12;%r11;%r10;%r9;%rax] = z + (2^384 - p_384) + + xorq %r11, %r11 + xorq %r12, %r12 + xorq %r13, %r13 + movq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0x00000000ffffffff, %r9d + adcq %r15, %r9 + movl $0x0000000000000001, %r10d + adcq %rcx, %r10 + adcq %rbx, %r11 + adcq %rbp, %r12 + adcq %rsi, %r13 + adcq $0, %r8 + +// ~ZF <=> %r12 >= 1 <=> z + (2^384 - p_384) >= 2^384 <=> z >= p_384, which +// determines whether to use the further reduced argument or the original z. + + cmovnzq %rax, %r14 + cmovnzq %r9, %r15 + cmovnzq %r10, %rcx + cmovnzq %r11, %rbx + cmovnzq %r12, %rbp + cmovnzq %r13, %rsi + +// Write back the result + + movq %r14, (z) + movq %r15, 8(z) + movq %rcx, 16(z) + movq %rbx, 24(z) + movq %rbp, 32(z) + movq %rsi, 40(z) + +// Restore registers and return + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_montsqr_p384_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_mul_p521.S b/cbits/s2n/x86_att/bignum_mul_p521.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_mul_p521.S @@ -0,0 +1,394 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Multiply modulo p_521, z := (x * y) mod p_521, assuming x and y reduced +// Inputs x[9], y[9]; output z[9] +// +// extern void bignum_mul_p521(uint64_t z[static 9], const uint64_t x[static 9], +// const uint64_t y[static 9]); +// +// Standard x86-64 ABI: RDI = z, RSI = x, RDX = y +// Microsoft x64 ABI: RCX = z, RDX = x, R8 = y +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_mul_p521) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_mul_p521) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_mul_p521) + .text + +#define z %rdi +#define x %rsi + +// Copied in + +#define y %rcx + +// mulpadd (high,low,x) adds rdx * x to a register-pair (high,low) +// maintaining consistent double-carrying with adcx and adox, +// using %rax and %rbx as temporaries. + +#define mulpadd(high,low,x) \ + mulxq x, %rax, %rbx ; \ + adcxq %rax, low ; \ + adoxq %rbx, high + +S2N_BN_SYMBOL(bignum_mul_p521): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx +#endif + +// Save more registers to play with and make temporary space on stack + + CFI_PUSH(%rbp) + CFI_PUSH(%rbx) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(64) + +// Copy y into a safe register to start with + + movq %rdx, y + +// Clone of the main body of bignum_8_16, writing back the low 8 words to +// the temporary buffer on the stack and keeping the top half in %r15,...,%r8 + + xorl %ebp, %ebp + movq (y), %rdx + mulxq (x), %r8, %r9 + movq %r8, (%rsp) + mulxq 0x8(x), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x10(x), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x18(x), %rbx, %r12 + adcq %rbx, %r11 + mulxq 0x20(x), %rbx, %r13 + adcq %rbx, %r12 + mulxq 0x28(x), %rbx, %r14 + adcq %rbx, %r13 + mulxq 0x30(x), %rbx, %r15 + adcq %rbx, %r14 + mulxq 0x38(x), %rbx, %r8 + adcq %rbx, %r15 + adcq %rbp, %r8 + movq 0x8(y), %rdx + xorl %ebp, %ebp + mulxq (x), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + movq %r9, 0x8(%rsp) + mulxq 0x8(x), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x10(x), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x18(x), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x20(x), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x28(x), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x30(x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x38(x), %rax, %r9 + adcxq %rax, %r8 + adoxq %rbp, %r9 + adcq %rbp, %r9 + movq 0x10(y), %rdx + xorl %ebp, %ebp + mulxq (x), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq %r10, 0x10(%rsp) + mulxq 0x8(x), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x10(x), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x18(x), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x20(x), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x28(x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x30(x), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x38(x), %rax, %r10 + adcxq %rax, %r9 + adoxq %rbp, %r10 + adcq %rbp, %r10 + movq 0x18(y), %rdx + xorl %ebp, %ebp + mulxq (x), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq %r11, 0x18(%rsp) + mulxq 0x8(x), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x10(x), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x18(x), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x20(x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x28(x), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x30(x), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x38(x), %rax, %r11 + adcxq %rax, %r10 + adoxq %rbp, %r11 + adcq %rbp, %r11 + movq 0x20(y), %rdx + xorl %ebp, %ebp + mulxq (x), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq %r12, 0x20(%rsp) + mulxq 0x8(x), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x10(x), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x18(x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x20(x), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x28(x), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x30(x), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x38(x), %rax, %r12 + adcxq %rax, %r11 + adoxq %rbp, %r12 + adcq %rbp, %r12 + movq 0x28(y), %rdx + xorl %ebp, %ebp + mulxq (x), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + movq %r13, 0x28(%rsp) + mulxq 0x8(x), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x10(x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x18(x), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x20(x), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x28(x), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x30(x), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x38(x), %rax, %r13 + adcxq %rax, %r12 + adoxq %rbp, %r13 + adcq %rbp, %r13 + movq 0x30(y), %rdx + xorl %ebp, %ebp + mulxq (x), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + movq %r14, 0x30(%rsp) + mulxq 0x8(x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x10(x), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x18(x), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x20(x), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x28(x), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x30(x), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x38(x), %rax, %r14 + adcxq %rax, %r13 + adoxq %rbp, %r14 + adcq %rbp, %r14 + movq 0x38(y), %rdx + xorl %ebp, %ebp + mulxq (x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + movq %r15, 0x38(%rsp) + mulxq 0x8(x), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x10(x), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x18(x), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x20(x), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x28(x), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x30(x), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x38(x), %rax, %r15 + adcxq %rax, %r14 + adoxq %rbp, %r15 + adcq %rbp, %r15 + +// Accumulate x[8] * y[0..7], extending the window to %rbp,%r15,...,%r8 + + movq 64(x), %rdx + xorl %ebp, %ebp + mulpadd(%r9,%r8,(y)) + mulpadd(%r10,%r9,8(y)) + mulpadd(%r11,%r10,16(y)) + mulpadd(%r12,%r11,24(y)) + mulpadd(%r13,%r12,32(y)) + mulpadd(%r14,%r13,40(y)) + mulpadd(%r15,%r14,48(y)) + mulxq 56(y), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbp, %rbx + adcq %rbx, %rbp + +// Accumulate y[8] * x[0..8] within this extended window %rbp,%r15,...,%r8 + + movq 64(y), %rdx + xorl %eax, %eax + mulpadd(%r9,%r8,(x)) + mulpadd(%r10,%r9,8(x)) + mulpadd(%r11,%r10,16(x)) + mulpadd(%r12,%r11,24(x)) + mulpadd(%r13,%r12,32(x)) + mulpadd(%r14,%r13,40(x)) + mulpadd(%r15,%r14,48(x)) + mulxq 56(x), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %rbp + mulxq 64(x), %rax, %rbx + adcq %rax, %rbp + +// Rotate the upper portion right 9 bits since 2^512 == 2^-9 (mod p_521) +// Let rotated result %rbp,%r15,%r14,...,%r8 be h (high) and %rsp[0..7] be l (low) + + movq %r8, %rax + andq $0x1FF, %rax + shrdq $9, %r9, %r8 + shrdq $9, %r10, %r9 + shrdq $9, %r11, %r10 + shrdq $9, %r12, %r11 + shrdq $9, %r13, %r12 + shrdq $9, %r14, %r13 + shrdq $9, %r15, %r14 + shrdq $9, %rbp, %r15 + shrq $9, %rbp + addq %rax, %rbp + +// Force carry-in then add to get s = h + l + 1 +// but actually add all 1s in the top 53 bits to get simple carry out + + stc + adcq (%rsp), %r8 + adcq 8(%rsp), %r9 + adcq 16(%rsp), %r10 + adcq 24(%rsp), %r11 + adcq 32(%rsp), %r12 + adcq 40(%rsp), %r13 + adcq 48(%rsp), %r14 + adcq 56(%rsp), %r15 + adcq $~0x1FF, %rbp + +// Now CF is set <=> h + l + 1 >= 2^521 <=> h + l >= p_521, +// in which case the lower 521 bits are already right. Otherwise if +// CF is clear, we want to subtract 1. Hence subtract the complement +// of the carry flag then mask the top word, which scrubs the +// padding in either case. Write digits back as they are created. + + cmc + sbbq $0, %r8 + movq %r8, (z) + sbbq $0, %r9 + movq %r9, 8(z) + sbbq $0, %r10 + movq %r10, 16(z) + sbbq $0, %r11 + movq %r11, 24(z) + sbbq $0, %r12 + movq %r12, 32(z) + sbbq $0, %r13 + movq %r13, 40(z) + sbbq $0, %r14 + movq %r14, 48(z) + sbbq $0, %r15 + movq %r15, 56(z) + sbbq $0, %rbp + andq $0x1FF, %rbp + movq %rbp, 64(z) + +// Restore registers and return + + CFI_INC_RSP(64) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbx) + CFI_POP(%rbp) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_mul_p521) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_mul_p521_alt.S b/cbits/s2n/x86_att/bignum_mul_p521_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_mul_p521_alt.S @@ -0,0 +1,321 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Multiply modulo p_521, z := (x * y) mod p_521, assuming x and y reduced +// Inputs x[9], y[9]; output z[9] +// +// extern void bignum_mul_p521_alt(uint64_t z[static 9], +// const uint64_t x[static 9], +// const uint64_t y[static 9]); +// +// Standard x86-64 ABI: RDI = z, RSI = x, RDX = y +// Microsoft x64 ABI: RCX = z, RDX = x, R8 = y +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_mul_p521_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_mul_p521_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_mul_p521_alt) + .text + +#define z %rdi +#define x %rsi + +// This is moved from %rdx to free it for muls + +#define y %rcx + +// Macro for the key "multiply and add to (c,h,l)" step + +#define combadd(c,h,l,numa,numb) \ + movq numa, %rax ; \ + mulq numb; \ + addq %rax, l ; \ + adcq %rdx, h ; \ + adcq $0, c + +// A minutely shorter form for when c = 0 initially + +#define combadz(c,h,l,numa,numb) \ + movq numa, %rax ; \ + mulq numb; \ + addq %rax, l ; \ + adcq %rdx, h ; \ + adcq c, c + +// A short form where we don't expect a top carry + +#define combads(h,l,numa,numb) \ + movq numa, %rax ; \ + mulq numb; \ + addq %rax, l ; \ + adcq %rdx, h + +S2N_BN_SYMBOL(bignum_mul_p521_alt): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx +#endif + +// Make more registers available and make temporary space on stack + + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(72) + +// Copy y into a safe register to start with + + movq %rdx, y + +// Start doing a conventional columnwise multiplication, +// temporarily storing the lower 9 digits to the stack. +// Start with result term 0 + + movq (x), %rax + mulq (y) + + movq %rax, (%rsp) + movq %rdx, %r9 + xorq %r10, %r10 + +// Result term 1 + + xorq %r11, %r11 + combads(%r10,%r9,(x),8(y)) + combadz(%r11,%r10,%r9,8(x),(y)) + movq %r9, 8(%rsp) + +// Result term 2 + + xorq %r12, %r12 + combadz(%r12,%r11,%r10,(x),16(y)) + combadd(%r12,%r11,%r10,8(x),8(y)) + combadd(%r12,%r11,%r10,16(x),(y)) + movq %r10, 16(%rsp) + +// Result term 3 + + xorq %r13, %r13 + combadz(%r13,%r12,%r11,(x),24(y)) + combadd(%r13,%r12,%r11,8(x),16(y)) + combadd(%r13,%r12,%r11,16(x),8(y)) + combadd(%r13,%r12,%r11,24(x),(y)) + movq %r11, 24(%rsp) + +// Result term 4 + + xorq %r14, %r14 + combadz(%r14,%r13,%r12,(x),32(y)) + combadd(%r14,%r13,%r12,8(x),24(y)) + combadd(%r14,%r13,%r12,16(x),16(y)) + combadd(%r14,%r13,%r12,24(x),8(y)) + combadd(%r14,%r13,%r12,32(x),(y)) + movq %r12, 32(%rsp) + +// Result term 5 + + xorq %r15, %r15 + combadz(%r15,%r14,%r13,(x),40(y)) + combadd(%r15,%r14,%r13,8(x),32(y)) + combadd(%r15,%r14,%r13,16(x),24(y)) + combadd(%r15,%r14,%r13,24(x),16(y)) + combadd(%r15,%r14,%r13,32(x),8(y)) + combadd(%r15,%r14,%r13,40(x),(y)) + movq %r13, 40(%rsp) + +// Result term 6 + + xorq %r8, %r8 + combadz(%r8,%r15,%r14,(x),48(y)) + combadd(%r8,%r15,%r14,8(x),40(y)) + combadd(%r8,%r15,%r14,16(x),32(y)) + combadd(%r8,%r15,%r14,24(x),24(y)) + combadd(%r8,%r15,%r14,32(x),16(y)) + combadd(%r8,%r15,%r14,40(x),8(y)) + combadd(%r8,%r15,%r14,48(x),(y)) + movq %r14, 48(%rsp) + +// Result term 7 + + xorq %r9, %r9 + combadz(%r9,%r8,%r15,(x),56(y)) + combadd(%r9,%r8,%r15,8(x),48(y)) + combadd(%r9,%r8,%r15,16(x),40(y)) + combadd(%r9,%r8,%r15,24(x),32(y)) + combadd(%r9,%r8,%r15,32(x),24(y)) + combadd(%r9,%r8,%r15,40(x),16(y)) + combadd(%r9,%r8,%r15,48(x),8(y)) + combadd(%r9,%r8,%r15,56(x),(y)) + movq %r15, 56(%rsp) + +// Result term 8 + + xorq %r10, %r10 + combadz(%r10,%r9,%r8,(x),64(y)) + combadd(%r10,%r9,%r8,8(x),56(y)) + combadd(%r10,%r9,%r8,16(x),48(y)) + combadd(%r10,%r9,%r8,24(x),40(y)) + combadd(%r10,%r9,%r8,32(x),32(y)) + combadd(%r10,%r9,%r8,40(x),24(y)) + combadd(%r10,%r9,%r8,48(x),16(y)) + combadd(%r10,%r9,%r8,56(x),8(y)) + combadd(%r10,%r9,%r8,64(x),(y)) + movq %r8, 64(%rsp) + +// At this point we suspend writing back results and collect them +// in a register window. Next is result term 9 + + xorq %r11, %r11 + combadz(%r11,%r10,%r9,8(x),64(y)) + combadd(%r11,%r10,%r9,16(x),56(y)) + combadd(%r11,%r10,%r9,24(x),48(y)) + combadd(%r11,%r10,%r9,32(x),40(y)) + combadd(%r11,%r10,%r9,40(x),32(y)) + combadd(%r11,%r10,%r9,48(x),24(y)) + combadd(%r11,%r10,%r9,56(x),16(y)) + combadd(%r11,%r10,%r9,64(x),8(y)) + +// Result term 10 + + xorq %r12, %r12 + combadz(%r12,%r11,%r10,16(x),64(y)) + combadd(%r12,%r11,%r10,24(x),56(y)) + combadd(%r12,%r11,%r10,32(x),48(y)) + combadd(%r12,%r11,%r10,40(x),40(y)) + combadd(%r12,%r11,%r10,48(x),32(y)) + combadd(%r12,%r11,%r10,56(x),24(y)) + combadd(%r12,%r11,%r10,64(x),16(y)) + +// Result term 11 + + xorq %r13, %r13 + combadz(%r13,%r12,%r11,24(x),64(y)) + combadd(%r13,%r12,%r11,32(x),56(y)) + combadd(%r13,%r12,%r11,40(x),48(y)) + combadd(%r13,%r12,%r11,48(x),40(y)) + combadd(%r13,%r12,%r11,56(x),32(y)) + combadd(%r13,%r12,%r11,64(x),24(y)) + +// Result term 12 + + xorq %r14, %r14 + combadz(%r14,%r13,%r12,32(x),64(y)) + combadd(%r14,%r13,%r12,40(x),56(y)) + combadd(%r14,%r13,%r12,48(x),48(y)) + combadd(%r14,%r13,%r12,56(x),40(y)) + combadd(%r14,%r13,%r12,64(x),32(y)) + +// Result term 13 + + xorq %r15, %r15 + combadz(%r15,%r14,%r13,40(x),64(y)) + combadd(%r15,%r14,%r13,48(x),56(y)) + combadd(%r15,%r14,%r13,56(x),48(y)) + combadd(%r15,%r14,%r13,64(x),40(y)) + +// Result term 14 + + xorq %r8, %r8 + combadz(%r8,%r15,%r14,48(x),64(y)) + combadd(%r8,%r15,%r14,56(x),56(y)) + combadd(%r8,%r15,%r14,64(x),48(y)) + +// Result term 15 + + combads(%r8,%r15,56(x),64(y)) + combads(%r8,%r15,64(x),56(y)) + +// Result term 16 + + movq 64(x), %rax + imulq 64(y), %rax + addq %r8, %rax + +// Now the upper portion is [%rax;%r15;%r14;%r13;%r12;%r11;%r10;%r9;[%rsp+64]]. +// Rotate the upper portion right 9 bits since 2^512 == 2^-9 (mod p_521) +// Let rotated result %rdx,%r15,%r14,...,%r8 be h (high) and %rsp[0..7] be l (low) + + movq 64(%rsp), %r8 + movq %r8, %rdx + andq $0x1FF, %rdx + shrdq $9, %r9, %r8 + shrdq $9, %r10, %r9 + shrdq $9, %r11, %r10 + shrdq $9, %r12, %r11 + shrdq $9, %r13, %r12 + shrdq $9, %r14, %r13 + shrdq $9, %r15, %r14 + shrdq $9, %rax, %r15 + shrq $9, %rax + addq %rax, %rdx + +// Force carry-in then add to get s = h + l + 1 +// but actually add all 1s in the top 53 bits to get simple carry out + + stc + adcq (%rsp), %r8 + adcq 8(%rsp), %r9 + adcq 16(%rsp), %r10 + adcq 24(%rsp), %r11 + adcq 32(%rsp), %r12 + adcq 40(%rsp), %r13 + adcq 48(%rsp), %r14 + adcq 56(%rsp), %r15 + adcq $~0x1FF, %rdx + +// Now CF is set <=> h + l + 1 >= 2^521 <=> h + l >= p_521, +// in which case the lower 521 bits are already right. Otherwise if +// CF is clear, we want to subtract 1. Hence subtract the complement +// of the carry flag then mask the top word, which scrubs the +// padding in either case. Write digits back as they are created. + + cmc + sbbq $0, %r8 + movq %r8, (z) + sbbq $0, %r9 + movq %r9, 8(z) + sbbq $0, %r10 + movq %r10, 16(z) + sbbq $0, %r11 + movq %r11, 24(z) + sbbq $0, %r12 + movq %r12, 32(z) + sbbq $0, %r13 + movq %r13, 40(z) + sbbq $0, %r14 + movq %r14, 48(z) + sbbq $0, %r15 + movq %r15, 56(z) + sbbq $0, %rdx + andq $0x1FF, %rdx + movq %rdx, 64(z) + +// Restore registers and return + + CFI_INC_RSP(72) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_mul_p521_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_neg_p256.S b/cbits/s2n/x86_att/bignum_neg_p256.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_neg_p256.S @@ -0,0 +1,97 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Negate modulo p_256, z := (-x) mod p_256, assuming x reduced +// Input x[4]; output z[4] +// +// extern void bignum_neg_p256(uint64_t z[static 4], const uint64_t x[static 4]); +// +// Standard x86-64 ABI: RDI = z, RSI = x +// Microsoft x64 ABI: RCX = z, RDX = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_neg_p256) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_neg_p256) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_neg_p256) + .text + +#define z %rdi +#define x %rsi + +#define q %rdx + +#define d0 %rax +#define d1 %rcx +#define d2 %r8 +#define d3 %r9 + +#define n1 %r10 +#define n3 %r11 + +#define d0short %eax +#define n1short %r10d + +S2N_BN_SYMBOL(bignum_neg_p256): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi +#endif + +// Load the input digits as [d3;d2;d1;d0] and also set a bitmask q +// for the input being nonzero, so that we avoid doing -0 = p_256 +// and hence maintain strict modular reduction + + movq (x), d0 + movq 8(x), d1 + movq d0, n1 + orq d1, n1 + movq 16(x), d2 + movq 24(x), d3 + movq d2, n3 + orq d3, n3 + orq n1, n3 + negq n3 + sbbq q, q + +// Load the non-trivial words of p_256 = [n3;0;n1;-1] and mask them with q + + movl $0x00000000ffffffff, n1short + movq $0xffffffff00000001, n3 + andq q, n1 + andq q, n3 + +// Do the subtraction, getting it as [n3;d0;n1;q] to avoid moves + + subq d0, q + movl $0, d0short + sbbq d1, n1 + sbbq d2, d0 + sbbq d3, n3 + +// Write back + + movq q, (z) + movq n1, 8(z) + movq d0, 16(z) + movq n3, 24(z) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_neg_p256) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_sqr_p521.S b/cbits/s2n/x86_att/bignum_sqr_p521.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_sqr_p521.S @@ -0,0 +1,302 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Square modulo p_521, z := (x^2) mod p_521, assuming x reduced +// Input x[9]; output z[9] +// +// extern void bignum_sqr_p521(uint64_t z[static 9], const uint64_t x[static 9]); +// +// Standard x86-64 ABI: RDI = z, RSI = x +// Microsoft x64 ABI: RCX = z, RDX = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_sqr_p521) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_sqr_p521) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_sqr_p521) + .text + +#define z %rdi +#define x %rsi + +// A zero register + +#define zero %rbp +#define zeroe %ebp + +// mulpadd(high,low,i) adds %rdx * x[i] to a register-pair (high,low) +// maintaining consistent double-carrying with adcx and adox, +// using %rax and %rcx as temporaries. + +#define mulpadd(high,low,I) \ + mulxq I(x), %rax, %rcx ; \ + adcxq %rax, low ; \ + adoxq %rcx, high + +// mulpade(high,low,i) adds %rdx * x[i] to a register-pair (high,low) +// maintaining consistent double-carrying with adcx and adox, +// using %rax as a temporary, assuming high created from scratch +// and that zero has value zero. + +#define mulpade(high,low,I) \ + mulxq I(x), %rax, high ; \ + adcxq %rax, low ; \ + adoxq zero, high + +S2N_BN_SYMBOL(bignum_sqr_p521): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi +#endif + +// Save more registers to play with and make temporary space on stack + + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(64) + +// Do a basic 8x8 squaring stashing in %rsp[0..7] but keeping the +// top half in the usual rotating register window %r15,...,%r8. Except +// for the lack of full writeback this is the same as bignum_sqr_8_16. + + xorl zeroe, zeroe + + movq (x), %rdx + mulxq 8(x), %r9, %rax + movq %r9, 8(%rsp) + mulxq 16(x), %r10, %rcx + adcxq %rax, %r10 + movq %r10, 16(%rsp) + mulxq 24(x), %r11, %rax + adcxq %rcx, %r11 + mulxq 32(x), %r12, %rcx + adcxq %rax, %r12 + mulxq 40(x), %r13, %rax + adcxq %rcx, %r13 + mulxq 48(x), %r14, %rcx + adcxq %rax, %r14 + mulxq 56(x), %r15, %r8 + adcxq %rcx, %r15 + adcxq zero, %r8 + + xorl zeroe, zeroe + movq 8(x), %rdx + mulpadd(%r12,%r11,16) + movq %r11, 24(%rsp) + mulpadd(%r13,%r12,24) + movq %r12, 32(%rsp) + mulpadd(%r14,%r13,32) + mulpadd(%r15,%r14,40) + mulpadd(%r8,%r15,48) + mulpade(%r9,%r8,56) + movq 32(x), %rdx + mulpade(%r10,%r9,40) + adcxq zero, %r10 + + xorl zeroe, zeroe + movq 16(x), %rdx + mulpadd(%r14,%r13,24) + movq %r13, 40(%rsp) + mulpadd(%r15,%r14,32) + movq %r14, 48(%rsp) + mulpadd(%r8,%r15,40) + mulpadd(%r9,%r8,48) + mulpadd(%r10,%r9,56) + movq 48(x), %rdx + mulpade(%r11,%r10,32) + mulpade(%r12,%r11,40) + adcxq zero, %r12 + + xorl zeroe, zeroe + movq 24(x), %rdx + mulpadd(%r8,%r15,32) + movq %r15, 56(%rsp) + mulpadd(%r9,%r8,40) + mulpadd(%r10,%r9,48) + mulpadd(%r11,%r10,56) + movq 56(x), %rdx + mulpadd(%r12,%r11,32) + mulpade(%r13,%r12,40) + mulpade(%r14,%r13,48) + adcxq zero, %r14 + + xorl zeroe, zeroe + movq (x), %rdx + mulxq %rdx, %rax, %rcx + movq %rax, (%rsp) + movq 8(%rsp), %rax + adcxq %rax, %rax + adoxq %rcx, %rax + movq %rax, 8(%rsp) + + movq 16(%rsp), %rax + movq 8(x), %rdx + mulxq %rdx, %rdx, %rcx + adcxq %rax, %rax + adoxq %rdx, %rax + movq %rax, 16(%rsp) + movq 24(%rsp), %rax + adcxq %rax, %rax + adoxq %rcx, %rax + movq %rax, 24(%rsp) + + movq 32(%rsp), %rax + movq 16(x), %rdx + mulxq %rdx, %rdx, %rcx + adcxq %rax, %rax + adoxq %rdx, %rax + movq %rax, 32(%rsp) + movq 40(%rsp), %rax + adcxq %rax, %rax + adoxq %rcx, %rax + movq %rax, 40(%rsp) + + movq 48(%rsp), %rax + movq 24(x), %rdx + mulxq %rdx, %rdx, %rcx + adcxq %rax, %rax + adoxq %rdx, %rax + movq %rax, 48(%rsp) + movq 56(%rsp), %rax + adcxq %rax, %rax + adoxq %rcx, %rax + movq %rax, 56(%rsp) + + movq 32(x), %rdx + mulxq %rdx, %rdx, %rcx + adcxq %r8, %r8 + adoxq %rdx, %r8 + adcxq %r9, %r9 + adoxq %rcx, %r9 + + movq 40(x), %rdx + mulxq %rdx, %rdx, %rcx + adcxq %r10, %r10 + adoxq %rdx, %r10 + adcxq %r11, %r11 + adoxq %rcx, %r11 + + movq 48(x), %rdx + mulxq %rdx, %rdx, %rcx + adcxq %r12, %r12 + adoxq %rdx, %r12 + adcxq %r13, %r13 + adoxq %rcx, %r13 + + movq 56(x), %rdx + mulxq %rdx, %rdx, %r15 + adcxq %r14, %r14 + adoxq %rdx, %r14 + adcxq zero, %r15 + adoxq zero, %r15 + +// Augment the high part with the contribution from the top little word C. +// If we write the input as 2^512 * C + x then we are otherwise just doing +// x^2, so we need to add to the high part 2^512 * C^2 + (2 * C) * x. +// The initial doubling add of C also clears the CF and OF flags as desired. +// We extend the window now to the 9-element %rbp,%r15,%r14,...,%r8. + + movq 64(x), %rdx + movq %rdx, %rbp + imulq %rbp, %rbp + addq %rdx, %rdx + mulpadd(%r9,%r8,0) + mulpadd(%r10,%r9,8) + mulpadd(%r11,%r10,16) + mulpadd(%r12,%r11,24) + mulpadd(%r13,%r12,32) + mulpadd(%r14,%r13,40) + mulpadd(%r15,%r14,48) + mulxq 56(x), %rax, %rcx + adcxq %rax, %r15 + adoxq %rcx, %rbp + adcq $0, %rbp + +// Rotate the upper portion right 9 bits since 2^512 == 2^-9 (mod p_521) +// Let rotated result %rbp,%r15,%r14,...,%r8 be h (high) and %rsp[0..7] be l (low) + + movq %r8, %rax + andq $0x1FF, %rax + shrdq $9, %r9, %r8 + shrdq $9, %r10, %r9 + shrdq $9, %r11, %r10 + shrdq $9, %r12, %r11 + shrdq $9, %r13, %r12 + shrdq $9, %r14, %r13 + shrdq $9, %r15, %r14 + shrdq $9, %rbp, %r15 + shrq $9, %rbp + addq %rax, %rbp + +// Force carry-in then add to get s = h + l + 1 +// but actually add all 1s in the top 53 bits to get simple carry out + + stc + adcq (%rsp), %r8 + adcq 8(%rsp), %r9 + adcq 16(%rsp), %r10 + adcq 24(%rsp), %r11 + adcq 32(%rsp), %r12 + adcq 40(%rsp), %r13 + adcq 48(%rsp), %r14 + adcq 56(%rsp), %r15 + adcq $~0x1FF, %rbp + +// Now CF is set <=> h + l + 1 >= 2^521 <=> h + l >= p_521, +// in which case the lower 521 bits are already right. Otherwise if +// CF is clear, we want to subtract 1. Hence subtract the complement +// of the carry flag then mask the top word, which scrubs the +// padding in either case. Write digits back as they are created. + + cmc + sbbq $0, %r8 + movq %r8, (z) + sbbq $0, %r9 + movq %r9, 8(z) + sbbq $0, %r10 + movq %r10, 16(z) + sbbq $0, %r11 + movq %r11, 24(z) + sbbq $0, %r12 + movq %r12, 32(z) + sbbq $0, %r13 + movq %r13, 40(z) + sbbq $0, %r14 + movq %r14, 48(z) + sbbq $0, %r15 + movq %r15, 56(z) + sbbq $0, %rbp + andq $0x1FF, %rbp + movq %rbp, 64(z) + +// Restore registers and return + + CFI_INC_RSP(64) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_sqr_p521) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_sqr_p521_alt.S b/cbits/s2n/x86_att/bignum_sqr_p521_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_sqr_p521_alt.S @@ -0,0 +1,315 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Square modulo p_521, z := (x^2) mod p_521, assuming x reduced +// Input x[9]; output z[9] +// +// extern void bignum_sqr_p521_alt(uint64_t z[static 9], +// const uint64_t x[static 9]); +// +// Standard x86-64 ABI: RDI = z, RSI = x +// Microsoft x64 ABI: RCX = z, RDX = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_sqr_p521_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_sqr_p521_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_sqr_p521_alt) + .text + +// Input arguments + +#define z %rdi +#define x %rsi + +// Macro for the key "multiply and add to (c,h,l)" step + +#define combadd(c,h,l,numa,numb) \ + movq numa, %rax ; \ + mulq numb; \ + addq %rax, l ; \ + adcq %rdx, h ; \ + adcq $0, c + +// Set up initial window (c,h,l) = numa * numb + +#define combaddz(c,h,l,numa,numb) \ + movq numa, %rax ; \ + mulq numb; \ + xorq c, c ; \ + movq %rax, l ; \ + movq %rdx, h + +// Doubling step (c,h,l) = 2 * (c,hh,ll) + (0,h,l) + +#define doubladd(c,h,l,hh,ll) \ + addq ll, ll ; \ + adcq hh, hh ; \ + adcq c, c ; \ + addq ll, l ; \ + adcq hh, h ; \ + adcq $0, c + +// Square term incorporation (c,h,l) += numba^2 + +#define combadd1(c,h,l,numa) \ + movq numa, %rax ; \ + mulq %rax; \ + addq %rax, l ; \ + adcq %rdx, h ; \ + adcq $0, c + +// A short form where we don't expect a top carry + +#define combads(h,l,numa) \ + movq numa, %rax ; \ + mulq %rax; \ + addq %rax, l ; \ + adcq %rdx, h + +// A version doubling directly before adding, for single non-square terms + +#define combadd2(c,h,l,numa,numb) \ + movq numa, %rax ; \ + mulq numb; \ + addq %rax, %rax ; \ + adcq %rdx, %rdx ; \ + adcq $0, c ; \ + addq %rax, l ; \ + adcq %rdx, h ; \ + adcq $0, c + +S2N_BN_SYMBOL(bignum_sqr_p521_alt): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi +#endif + +// Make more registers available and make temporary space on stack + + CFI_PUSH(%rbx) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(72) + +// Start doing a conventional columnwise squaring, +// temporarily storing the lower 9 digits on the stack. +// Start with result term 0 + + movq (x), %rax + mulq %rax + + movq %rax, (%rsp) + movq %rdx, %r9 + xorq %r10, %r10 + +// Result term 1 + + xorq %r11, %r11 + combadd2(%r11,%r10,%r9,(x),8(x)) + movq %r9, 8(%rsp) + +// Result term 2 + + xorq %r12, %r12 + combadd1(%r12,%r11,%r10,8(x)) + combadd2(%r12,%r11,%r10,(x),16(x)) + movq %r10, 16(%rsp) + +// Result term 3 + + combaddz(%r13,%rcx,%rbx,(x),24(x)) + combadd(%r13,%rcx,%rbx,8(x),16(x)) + doubladd(%r13,%r12,%r11,%rcx,%rbx) + movq %r11, 24(%rsp) + +// Result term 4 + + combaddz(%r14,%rcx,%rbx,(x),32(x)) + combadd(%r14,%rcx,%rbx,8(x),24(x)) + doubladd(%r14,%r13,%r12,%rcx,%rbx) + combadd1(%r14,%r13,%r12,16(x)) + movq %r12, 32(%rsp) + +// Result term 5 + + combaddz(%r15,%rcx,%rbx,(x),40(x)) + combadd(%r15,%rcx,%rbx,8(x),32(x)) + combadd(%r15,%rcx,%rbx,16(x),24(x)) + doubladd(%r15,%r14,%r13,%rcx,%rbx) + movq %r13, 40(%rsp) + +// Result term 6 + + combaddz(%r8,%rcx,%rbx,(x),48(x)) + combadd(%r8,%rcx,%rbx,8(x),40(x)) + combadd(%r8,%rcx,%rbx,16(x),32(x)) + doubladd(%r8,%r15,%r14,%rcx,%rbx) + combadd1(%r8,%r15,%r14,24(x)) + movq %r14, 48(%rsp) + +// Result term 7 + + combaddz(%r9,%rcx,%rbx,(x),56(x)) + combadd(%r9,%rcx,%rbx,8(x),48(x)) + combadd(%r9,%rcx,%rbx,16(x),40(x)) + combadd(%r9,%rcx,%rbx,24(x),32(x)) + doubladd(%r9,%r8,%r15,%rcx,%rbx) + movq %r15, 56(%rsp) + +// Result term 8 + + combaddz(%r10,%rcx,%rbx,(x),64(x)) + combadd(%r10,%rcx,%rbx,8(x),56(x)) + combadd(%r10,%rcx,%rbx,16(x),48(x)) + combadd(%r10,%rcx,%rbx,24(x),40(x)) + doubladd(%r10,%r9,%r8,%rcx,%rbx) + combadd1(%r10,%r9,%r8,32(x)) + movq %r8, 64(%rsp) + +// We now stop writing back and keep remaining results in a register window. +// Continue with result term 9 + + combaddz(%r11,%rcx,%rbx,8(x),64(x)) + combadd(%r11,%rcx,%rbx,16(x),56(x)) + combadd(%r11,%rcx,%rbx,24(x),48(x)) + combadd(%r11,%rcx,%rbx,32(x),40(x)) + doubladd(%r11,%r10,%r9,%rcx,%rbx) + +// Result term 10 + + combaddz(%r12,%rcx,%rbx,16(x),64(x)) + combadd(%r12,%rcx,%rbx,24(x),56(x)) + combadd(%r12,%rcx,%rbx,32(x),48(x)) + doubladd(%r12,%r11,%r10,%rcx,%rbx) + combadd1(%r12,%r11,%r10,40(x)) + +// Result term 11 + + combaddz(%r13,%rcx,%rbx,24(x),64(x)) + combadd(%r13,%rcx,%rbx,32(x),56(x)) + combadd(%r13,%rcx,%rbx,40(x),48(x)) + doubladd(%r13,%r12,%r11,%rcx,%rbx) + +// Result term 12 + + combaddz(%r14,%rcx,%rbx,32(x),64(x)) + combadd(%r14,%rcx,%rbx,40(x),56(x)) + doubladd(%r14,%r13,%r12,%rcx,%rbx) + combadd1(%r14,%r13,%r12,48(x)) + +// Result term 13 + + combaddz(%r15,%rcx,%rbx,40(x),64(x)) + combadd(%r15,%rcx,%rbx,48(x),56(x)) + doubladd(%r15,%r14,%r13,%rcx,%rbx); + +// Result term 14 + + xorq %r8, %r8 + combadd1(%r8,%r15,%r14,56(x)) + combadd2(%r8,%r15,%r14,48(x),64(x)) + +// Result term 15 + + movq 56(x), %rax + mulq 64(x) + addq %rax, %rax + adcq %rdx, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + +// Result term 16 + + movq 64(x), %rax + imulq %rax, %rax + addq %r8, %rax + +// Now the upper portion is [%rax;%r15;%r14;%r13;%r12;%r11;%r10;%r9;[%rsp+64]]. +// Rotate the upper portion right 9 bits since 2^512 == 2^-9 (mod p_521) +// Let rotated result %rdx,%r15,%r14,...,%r8 be h (high) and %rsp[0..7] be l (low) + + movq 64(%rsp), %r8 + movq %r8, %rdx + andq $0x1FF, %rdx + shrdq $9, %r9, %r8 + shrdq $9, %r10, %r9 + shrdq $9, %r11, %r10 + shrdq $9, %r12, %r11 + shrdq $9, %r13, %r12 + shrdq $9, %r14, %r13 + shrdq $9, %r15, %r14 + shrdq $9, %rax, %r15 + shrq $9, %rax + addq %rax, %rdx + +// Force carry-in then add to get s = h + l + 1 +// but actually add all 1s in the top 53 bits to get simple carry out + + stc + adcq (%rsp), %r8 + adcq 8(%rsp), %r9 + adcq 16(%rsp), %r10 + adcq 24(%rsp), %r11 + adcq 32(%rsp), %r12 + adcq 40(%rsp), %r13 + adcq 48(%rsp), %r14 + adcq 56(%rsp), %r15 + adcq $~0x1FF, %rdx + +// Now CF is set <=> h + l + 1 >= 2^521 <=> h + l >= p_521, +// in which case the lower 521 bits are already right. Otherwise if +// CF is clear, we want to subtract 1. Hence subtract the complement +// of the carry flag then mask the top word, which scrubs the +// padding in either case. Write digits back as they are created. + + cmc + sbbq $0, %r8 + movq %r8, (z) + sbbq $0, %r9 + movq %r9, 8(z) + sbbq $0, %r10 + movq %r10, 16(z) + sbbq $0, %r11 + movq %r11, 24(z) + sbbq $0, %r12 + movq %r12, 32(z) + sbbq $0, %r13 + movq %r13, 40(z) + sbbq $0, %r14 + movq %r14, 48(z) + sbbq $0, %r15 + movq %r15, 56(z) + sbbq $0, %rdx + andq $0x1FF, %rdx + movq %rdx, 64(z) + +// Restore registers and return + + CFI_INC_RSP(72) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbx) +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_sqr_p521_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_tomont_p256.S b/cbits/s2n/x86_att/bignum_tomont_p256.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_tomont_p256.S @@ -0,0 +1,195 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Convert to Montgomery form z := (2^256 * x) mod p_256 +// Input x[4]; output z[4] +// +// extern void bignum_tomont_p256(uint64_t z[static 4], +// const uint64_t x[static 4]); +// +// Standard x86-64 ABI: RDI = z, RSI = x +// Microsoft x64 ABI: RCX = z, RDX = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_tomont_p256) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_tomont_p256) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_tomont_p256) + .text + +#define z %rdi +#define x %rsi + +// Some temp registers for the last correction stage + +#define d %rax +#define u %rdx +#define v %rcx + +#define dshort %eax +#define ushort %edx + +// Add %rdx * m into a register-pair (high,low) +// maintaining consistent double-carrying with adcx and adox, +// using %rax and %rbx as temporaries + +#define mulpadd(high,low,m) \ + mulxq m, %rax, %rcx ; \ + adcxq %rax, low ; \ + adoxq %rcx, high + +S2N_BN_SYMBOL(bignum_tomont_p256): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi +#endif + +// We are essentially just doing a Montgomery multiplication of x and the +// precomputed constant y = 2^512 mod p, so the code is almost the same +// modulo a few registers and the change from loading y[i] to using constants. +// Because there is no y pointer to keep, we use one register less. + + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + +// Do row 0 computation, which is a bit different: +// set up initial window [%r12,%r11,%r10,%r9,%r8] = y[0] * x +// Unlike later, we only need a single carry chain + + xorq %r13, %r13 + movl $0x0000000000000003, %edx + mulxq (x), %r8, %r9 + mulxq 8(x), %rcx, %r10 + adcxq %rcx, %r9 + mulxq 16(x), %rcx, %r11 + adcxq %rcx, %r10 + mulxq 24(x), %rcx, %r12 + adcxq %rcx, %r11 + adcxq %r13, %r12 + +// Add row 1 + + movq $0xfffffffbffffffff, %rdx + xorq %r14, %r14 + mulpadd(%r10,%r9,(x)) + mulpadd(%r11,%r10,8(x)) + mulpadd(%r12,%r11,16(x)) + mulpadd(%r13,%r12,24(x)) + adcq %r14, %r13 + +// Montgomery reduce windows 0 and 1 together + + xorq %r15, %r15 + movq $0x0000000100000000, %rdx + mulpadd(%r10,%r9,%r8) + mulpadd(%r11,%r10,%r9) + movq $0xffffffff00000001, %rdx + mulpadd(%r12,%r11,%r8) + mulpadd(%r13,%r12,%r9) + adcxq %r15, %r13 + adoxq %r15, %r14 + adcxq %r15, %r14 + +// Add row 2 + + movq $0xfffffffffffffffe, %rdx + xorq %r8, %r8 + mulpadd(%r11,%r10,(x)) + mulpadd(%r12,%r11,8(x)) + mulpadd(%r13,%r12,16(x)) + mulpadd(%r14,%r13,24(x)) + adcxq %r8, %r14 + adoxq %r8, %r15 + adcxq %r8, %r15 + +// Add row 3 + + movq $0x00000004fffffffd, %rdx + xorq %r9, %r9 + mulpadd(%r12,%r11,(x)) + mulpadd(%r13,%r12,8(x)) + mulpadd(%r14,%r13,16(x)) + mulpadd(%r15,%r14,24(x)) + adcxq %r9, %r15 + adoxq %r9, %r8 + adcxq %r9, %r8 + +// Montgomery reduce windows 2 and 3 together + + xorq %r9, %r9 + movq $0x0000000100000000, %rdx + mulpadd(%r12,%r11,%r10) + mulpadd(%r13,%r12,%r11) + movq $0xffffffff00000001, %rdx + mulpadd(%r14,%r13,%r10) + mulpadd(%r15,%r14,%r11) + adcxq %r9, %r15 + adoxq %r9, %r8 + adcxq %r9, %r8 + +// We now have a pre-reduced 5-word form [%r8; %r15;%r14;%r13;%r12] +// Load non-trivial digits of p_256 = [v; 0; u; -1] + + movl $0x00000000ffffffff, ushort + movq $0xffffffff00000001, v + +// Now do the subtraction (0,p_256-1) - (%r8,%r15,%r14,%r13,%r12) to get the carry + + movq $-2, d + subq %r12, d + movq u, d + sbbq %r13, d + movl $0, dshort + sbbq %r14, d + movq v, d + sbbq %r15, d + +// This last comparison in the chain will actually even set the mask +// for us, so we don't need to separately create it from the carry. +// This means p_256 - 1 < (c,d1,d0,d5,d4), i.e. we are so far >= p_256 + + movl $0, dshort + sbbq %r8, d + andq d, u + andq d, v + +// Do a masked subtraction of p_256 and write back + + subq d, %r12 + sbbq u, %r13 + sbbq $0, %r14 + sbbq v, %r15 + + movq %r12, (z) + movq %r13, 8(z) + movq %r14, 16(z) + movq %r15, 24(z) + +// Restore registers and return + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_tomont_p256) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_tomont_p256_alt.S b/cbits/s2n/x86_att/bignum_tomont_p256_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_tomont_p256_alt.S @@ -0,0 +1,203 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Convert to Montgomery form z := (2^256 * x) mod p_256 +// Input x[4]; output z[4] +// +// extern void bignum_tomont_p256_alt(uint64_t z[static 4], +// const uint64_t x[static 4]); +// +// Standard x86-64 ABI: RDI = z, RSI = x +// Microsoft x64 ABI: RCX = z, RDX = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_tomont_p256_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_tomont_p256_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_tomont_p256_alt) + .text + +#define z %rdi +#define x %rsi + +// Add %rcx * m into a register-pair (high,low) maintaining consistent +// carry-catching with carry (negated, as bitmask) and using %rax and %rdx +// as temporaries + +#define mulpadd(carry,high,low,m) \ + movq m, %rax ; \ + mulq %rcx; \ + subq carry, %rdx ; \ + addq %rax, low ; \ + adcq %rdx, high ; \ + sbbq carry, carry + +// Initial version assuming no carry-in + +#define mulpadi(carry,high,low,m) \ + movq m, %rax ; \ + mulq %rcx; \ + addq %rax, low ; \ + adcq %rdx, high ; \ + sbbq carry, carry + +// End version not catching the top carry-out + +#define mulpade(carry,high,low,m) \ + movq m, %rax ; \ + mulq %rcx; \ + subq carry, %rdx ; \ + addq %rax, low ; \ + adcq %rdx, high + +S2N_BN_SYMBOL(bignum_tomont_p256_alt): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi +#endif + +// Save more registers to play with + + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + +// Do row 0 computation, which is a bit different: +// set up initial window [%r12,%r11,%r10,%r9,%r8] = y[0] * x +// Unlike later, we only need a single carry chain + + movl $0x0000000000000003, %ecx + movq (x), %rax + mulq %rcx + movq %rax, %r8 + movq %rdx, %r9 + + movq 8(x), %rax + mulq %rcx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + + movq 16(x), %rax + mulq %rcx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + + movq 24(x), %rax + mulq %rcx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + +// Add row 1 + + movq $0xfffffffbffffffff, %rcx + xorl %r13d, %r13d + mulpadi(%r14,%r10,%r9,(x)) + mulpadd(%r14,%r11,%r10,8(x)) + mulpadd(%r14,%r12,%r11,16(x)) + mulpade(%r14,%r13,%r12,24(x)) + +// Montgomery reduce windows 0 and 1 together + + xorl %r14d, %r14d + movq $0x0000000100000000, %rcx + mulpadi(%r15,%r10,%r9,%r8) + mulpadd(%r15,%r11,%r10,%r9) + notq %rcx + leaq 2(%rcx), %rcx + mulpadd(%r15,%r12,%r11,%r8) + mulpade(%r15,%r13,%r12,%r9) + adcq %r14, %r14 + +// Add row 2 + + movq $0xfffffffffffffffe, %rcx + xorl %r15d, %r15d + mulpadi(%r8,%r11,%r10,(x)) + mulpadd(%r8,%r12,%r11,8(x)) + mulpadd(%r8,%r13,%r12,16(x)) + mulpade(%r8,%r14,%r13,24(x)) + adcq %r15, %r15 + +// Add row 3 + + movq $0x00000004fffffffd, %rcx + xorl %r8d, %r8d + mulpadi(%r9,%r12,%r11,(x)) + mulpadd(%r9,%r13,%r12,8(x)) + mulpadd(%r9,%r14,%r13,16(x)) + mulpade(%r9,%r15,%r14,24(x)) + adcq %r8, %r8 + +// Montgomery reduce windows 2 and 3 together + + movq $0x0000000100000000, %rcx + mulpadi(%r9,%r12,%r11,%r10) + mulpadd(%r9,%r13,%r12,%r11) + notq %rcx + leaq 2(%rcx), %rcx + mulpadd(%r9,%r14,%r13,%r10) + mulpadd(%r9,%r15,%r14,%r11) + subq %r9, %r8 + +// We now have a pre-reduced 5-word form [%r8; %r15;%r14;%r13;%r12] +// Load [%rax;%r11;%r9;%rcx;%rdx] = 2^320 - p_256, re-using earlier numbers a bit +// Do [%rax;%r11;%r9;%rcx;%rdx] = [%r8;%r15;%r14;%r13;%r12] + (2^320 - p_256) + + xorl %edx, %edx + leaq -1(%rdx), %r9 + incq %rdx + addq %r12, %rdx + decq %rcx + adcq %r13, %rcx + movq %r9, %rax + adcq %r14, %r9 + movl $0x00000000fffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + +// Now carry is set if r + (2^320 - p_256) >= 2^320, i.e. r >= p_256 +// where r is the pre-reduced form. So conditionally select the +// output accordingly. + + cmovcq %rdx, %r12 + cmovcq %rcx, %r13 + cmovcq %r9, %r14 + cmovcq %r11, %r15 + +// Write back reduced value + + movq %r12, (z) + movq %r13, 8(z) + movq %r14, 16(z) + movq %r15, 24(z) + +// Restore registers and return + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_tomont_p256_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_tomont_p384.S b/cbits/s2n/x86_att/bignum_tomont_p384.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_tomont_p384.S @@ -0,0 +1,295 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Convert to Montgomery form z := (2^384 * x) mod p_384 +// Input x[6]; output z[6] +// +// extern void bignum_tomont_p384(uint64_t z[static 6], +// const uint64_t x[static 6]); +// +// Standard x86-64 ABI: RDI = z, RSI = x +// Microsoft x64 ABI: RCX = z, RDX = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_tomont_p384) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_tomont_p384) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_tomont_p384) + .text + +#define z %rdi +#define x %rsi + +// Fairly consistently used as a zero register + +#define zero %rbp + +// Some temp registers for the last correction stage + +#define d %rax +#define u %rdx +#define v %rcx +#define w %rsi + +#define vshort %ecx +#define wshort %esi + +// Add %rdx * m into a register-pair (high,low) +// maintaining consistent double-carrying with adcx and adox, +// using %rax and %rcx as temporaries + +#define mulpadd(high,low,m) \ + mulxq m, %rax, %rcx ; \ + adcxq %rax, low ; \ + adoxq %rcx, high + +// Core one-step Montgomery reduction macro. Takes input in +// [d7;d6;d5;d4;d3;d2;d1;d0] and returns result in [d7;d6;d5;d4;d3;d2;d1], +// adding to the existing contents, re-using d0 as a temporary internally +// +// We want to add (2^384 - 2^128 - 2^96 + 2^32 - 1) * w +// where w = [d0 + (d0<<32)] mod 2^64 +// +// montredc(d7,d6,d5,d4,d3,d2,d1,d0) +// +// This particular variant, with its mix of addition and subtraction +// at the top, is not intended to maintain a coherent carry or borrow out. +// It is assumed the final result would fit in [d7;d6;d5;d4;d3;d2;d1]. +// which is always the case here as the top word is even always in {0,1} + +#define montredc(d7,d6,d5,d4,d3,d2,d1,d0) \ +/* Our correction multiplier is w = [d0 + (d0<<32)] mod 2^64 */ \ + movq d0, %rdx ; \ + shlq $32, %rdx ; \ + addq d0, %rdx ; \ +/* Construct [%rbp;%rcx;%rax;-] = (2^384 - p_384) * w */ \ +/* We know the lowest word will cancel so we can re-use d0 as a temp */ \ + xorl %ebp, %ebp ; \ + movq $0xffffffff00000001, %rax ; \ + mulxq %rax, %rcx, %rax ; \ + movl $0x00000000ffffffff, %ecx ; \ + mulxq %rcx, d0, %rcx ; \ + adcq d0, %rax ; \ + adcq %rdx, %rcx ; \ + adcl %ebp, %ebp ; \ +/* Now subtract that and add 2^384 * w */ \ + subq %rax, d1 ; \ + sbbq %rcx, d2 ; \ + sbbq %rbp, d3 ; \ + sbbq $0, d4 ; \ + sbbq $0, d5 ; \ + sbbq $0, %rdx ; \ + addq %rdx, d6 ; \ + adcq $0, d7 + +S2N_BN_SYMBOL(bignum_tomont_p384): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi +#endif + +// We are essentially just doing a Montgomery multiplication of x and the +// precomputed constant y = 2^768 mod p, so the code is almost the same +// modulo a few registers and the change from loading y[i] to using constants, +// plus the easy digits y[4] = 1 and y[5] = 0 being treated specially. +// Because there is no y pointer to keep, we use one register less. + + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + +// Do row 0 computation, which is a bit different: +// set up initial window [%r14,%r13,%r12,%r11,%r10,%r9,%r8] = y[0] * x +// Unlike later, we only need a single carry chain + + movq $0xfffffffe00000001, %rdx + mulxq (x), %r8, %r9 + mulxq 8(x), %rcx, %r10 + addq %rcx, %r9 + mulxq 16(x), %rcx, %r11 + adcq %rcx, %r10 + mulxq 24(x), %rcx, %r12 + adcq %rcx, %r11 + mulxq 32(x), %rcx, %r13 + adcq %rcx, %r12 + mulxq 40(x), %rcx, %r14 + adcq %rcx, %r13 + adcq $0, %r14 + +// Montgomery reduce the zeroth window + + xorq %r15, %r15 + montredc(%r15, %r14,%r13,%r12,%r11,%r10,%r9,%r8) + +// Add row 1 + + xorq zero, zero + movq $0x0000000200000000, %rdx + xorq %r8, %r8 + mulpadd(%r10,%r9,(x)) + mulpadd(%r11,%r10,8(x)) + mulpadd(%r12,%r11,16(x)) + mulpadd(%r13,%r12,24(x)) + mulpadd(%r14,%r13,32(x)) + mulpadd(%r15,%r14,40(x)) + adcxq zero, %r15 + adoxq zero, %r8 + adcxq zero, %r8 + +// Montgomery reduce window 1 + + montredc(%r8, %r15,%r14,%r13,%r12,%r11,%r10,%r9) + +// Add row 2 + + xorq zero, zero + movq $0xfffffffe00000000, %rdx + xorq %r9, %r9 + mulpadd(%r11,%r10,(x)) + mulpadd(%r12,%r11,8(x)) + mulpadd(%r13,%r12,16(x)) + mulpadd(%r14,%r13,24(x)) + mulpadd(%r15,%r14,32(x)) + mulpadd(%r8,%r15,40(x)) + adcxq zero, %r8 + adoxq zero, %r9 + adcxq zero, %r9 + +// Montgomery reduce window 2 + + montredc(%r9, %r8,%r15,%r14,%r13,%r12,%r11,%r10) + +// Add row 3 + + xorq zero, zero + movq $0x0000000200000000, %rdx + xorq %r10, %r10 + mulpadd(%r12,%r11,(x)) + mulpadd(%r13,%r12,8(x)) + mulpadd(%r14,%r13,16(x)) + mulpadd(%r15,%r14,24(x)) + mulpadd(%r8,%r15,32(x)) + mulpadd(%r9,%r8,40(x)) + adcxq zero, %r9 + adoxq zero, %r10 + adcxq zero, %r10 + +// Montgomery reduce window 3 + + montredc(%r10, %r9,%r8,%r15,%r14,%r13,%r12,%r11) + +// Add row 4. The multiplier y[4] = 1, so we just add x to the window +// while extending it with one more digit, initially this carry + + xorq %r11, %r11 + addq (x), %r12 + adcq 8(x), %r13 + adcq 16(x), %r14 + adcq 24(x), %r15 + adcq 32(x), %r8 + adcq 40(x), %r9 + adcq $0, %r10 + adcq $0, %r11 + +// Montgomery reduce window 4 + + montredc(%r11, %r10,%r9,%r8,%r15,%r14,%r13,%r12) + +// Add row 5, The multiplier y[5] = 0, so this is trivial: all we do is +// bring down another zero digit into the window. + + xorq %r12, %r12 + +// Montgomery reduce window 5 + + montredc(%r12, %r11,%r10,%r9,%r8,%r15,%r14,%r13) + +// We now have a pre-reduced 7-word form [%r12;%r11;%r10;%r9;%r8;%r15;%r14] + +// We know, writing B = 2^{6*64} that the full implicit result is +// B^2 c <= z + (B - 1) * p < B * p + (B - 1) * p < 2 * B * p, +// so the top half is certainly < 2 * p. If c = 1 already, we know +// subtracting p will give the reduced modulus. But now we do a +// comparison to catch cases where the residue is >= p. +// First set [0;0;0;w;v;u] = 2^384 - p_384 + + movq $0xffffffff00000001, u + movl $0x00000000ffffffff, vshort + movl $0x0000000000000001, wshort + +// Let dd = [%r11;%r10;%r9;%r8;%r15;%r14] be the topless 6-word intermediate result. +// Set CF if the addition dd + (2^384 - p_384) >= 2^384, hence iff dd >= p_384. + + movq %r14, d + addq u, d + movq %r15, d + adcq v, d + movq %r8, d + adcq w, d + movq %r9, d + adcq $0, d + movq %r10, d + adcq $0, d + movq %r11, d + adcq $0, d + +// Now just add this new carry into the existing %r12. It's easy to see they +// can't both be 1 by our range assumptions, so this gives us a {0,1} flag + + adcq $0, %r12 + +// Now convert it into a bitmask + + negq %r12 + +// Masked addition of 2^384 - p_384, hence subtraction of p_384 + + andq %r12, u + andq %r12, v + andq %r12, w + + addq u, %r14 + adcq v, %r15 + adcq w, %r8 + adcq $0, %r9 + adcq $0, %r10 + adcq $0, %r11 + +// Write back the result + + movq %r14, (z) + movq %r15, 8(z) + movq %r8, 16(z) + movq %r9, 24(z) + movq %r10, 32(z) + movq %r11, 40(z) + +// Restore registers and return + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_tomont_p384) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/bignum_tomont_p384_alt.S b/cbits/s2n/x86_att/bignum_tomont_p384_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/bignum_tomont_p384_alt.S @@ -0,0 +1,324 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Convert to Montgomery form z := (2^384 * x) mod p_384 +// Input x[6]; output z[6] +// +// extern void bignum_tomont_p384_alt(uint64_t z[static 6], +// const uint64_t x[static 6]); +// +// Standard x86-64 ABI: RDI = z, RSI = x +// Microsoft x64 ABI: RCX = z, RDX = x +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(bignum_tomont_p384_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(bignum_tomont_p384_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(bignum_tomont_p384_alt) + .text + +#define z %rdi +#define x %rsi + +// Some temp registers for the last correction stage + +#define d %rax +#define u %rdx +#define v %rcx +#define w %rsi + +#define vshort %ecx +#define wshort %esi + +// Add %rbx * m into a register-pair (high,low) maintaining consistent +// carry-catching with carry (negated, as bitmask) and using %rax and %rdx +// as temporaries + +#define mulpadd(carry,high,low,m) \ + movq m, %rax ; \ + mulq %rbx; \ + subq carry, %rdx ; \ + addq %rax, low ; \ + adcq %rdx, high ; \ + sbbq carry, carry + +// Initial version assuming no carry-in + +#define mulpadi(carry,high,low,m) \ + movq m, %rax ; \ + mulq %rbx; \ + addq %rax, low ; \ + adcq %rdx, high ; \ + sbbq carry, carry + +// End version not catching the top carry-out + +#define mulpade(carry,high,low,m) \ + movq m, %rax ; \ + mulq %rbx; \ + subq carry, %rdx ; \ + addq %rax, low ; \ + adcq %rdx, high + +// Core one-step Montgomery reduction macro. Takes input in +// [d7;d6;d5;d4;d3;d2;d1;d0] and returns result in [d7;d6;d5;d4;d3;d2;d1], +// adding to the existing contents, re-using d0 as a temporary internally +// +// We want to add (2^384 - 2^128 - 2^96 + 2^32 - 1) * w +// where w = [d0 + (d0<<32)] mod 2^64 +// +// montredc(d7,d6,d5,d4,d3,d2,d1,d0) +// +// This particular variant, with its mix of addition and subtraction +// at the top, is not intended to maintain a coherent carry or borrow out. +// It is assumed the final result would fit in [d7;d6;d5;d4;d3;d2;d1]. +// which is always the case here as the top word is even always in {0,1} + +#define montredc(d7,d6,d5,d4,d3,d2,d1,d0) \ +/* Our correction multiplier is w = [d0 + (d0<<32)] mod 2^64 */ \ + movq d0, %rbx ; \ + shlq $32, %rbx ; \ + addq d0, %rbx ; \ +/* Construct [%rcx;%rdx;%rax;-] = (2^384 - p_384) * w */ \ +/* We know the lowest word will cancel so we can re-use d0 as a temp */ \ + xorl %ecx, %ecx ; \ + movq $0xffffffff00000001, %rax ; \ + mulq %rbx; \ + movq %rdx, d0 ; \ + movq $0x00000000ffffffff, %rax ; \ + mulq %rbx; \ + addq d0, %rax ; \ + adcq %rbx, %rdx ; \ + adcl %ecx, %ecx ; \ +/* Now subtract that and add 2^384 * w */ \ + subq %rax, d1 ; \ + sbbq %rdx, d2 ; \ + sbbq %rcx, d3 ; \ + sbbq $0, d4 ; \ + sbbq $0, d5 ; \ + sbbq $0, %rbx ; \ + addq %rbx, d6 ; \ + adcq $0, d7 + +S2N_BN_SYMBOL(bignum_tomont_p384_alt): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi +#endif + +// We are essentially just doing a Montgomery multiplication of x and the +// precomputed constant y = 2^768 mod p, so the code is almost the same +// modulo a few registers and the change from loading y[i] to using constants, +// plus the easy digits y[4] = 1 and y[5] = 0 being treated specially. +// Because there is no y pointer to keep, we use one register less. + + CFI_PUSH(%rbx) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + +// Do row 0 computation, which is a bit different: +// set up initial window [%r14,%r13,%r12,%r11,%r10,%r9,%r8] = y[0] * x +// Unlike later, we only need a single carry chain + + movq $0xfffffffe00000001, %rbx + movq (x), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + + movq 8(x), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + + movq 16(x), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + + movq 24(x), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + + movq 32(x), %rax + mulq %rbx + xorl %r13d, %r13d + addq %rax, %r12 + adcq %rdx, %r13 + + movq 40(x), %rax + mulq %rbx + xorl %r14d, %r14d + addq %rax, %r13 + adcq %rdx, %r14 + + xorl %r15d, %r15d + +// Montgomery reduce the zeroth window + + montredc(%r15, %r14,%r13,%r12,%r11,%r10,%r9,%r8) + +// Add row 1 + + movq $0x0000000200000000, %rbx + mulpadi(%r8,%r10,%r9,(x)) + mulpadd(%r8,%r11,%r10,8(x)) + mulpadd(%r8,%r12,%r11,16(x)) + mulpadd(%r8,%r13,%r12,24(x)) + mulpadd(%r8,%r14,%r13,32(x)) + mulpadd(%r8,%r15,%r14,40(x)) + negq %r8 + +// Montgomery reduce window 1 + + montredc(%r8, %r15,%r14,%r13,%r12,%r11,%r10,%r9) + +// Add row 2 + + movq $0xfffffffe00000000, %rbx + mulpadi(%r9,%r11,%r10,(x)) + mulpadd(%r9,%r12,%r11,8(x)) + mulpadd(%r9,%r13,%r12,16(x)) + mulpadd(%r9,%r14,%r13,24(x)) + mulpadd(%r9,%r15,%r14,32(x)) + mulpadd(%r9,%r8,%r15,40(x)) + negq %r9 + +// Montgomery reduce window 2 + + montredc(%r9, %r8,%r15,%r14,%r13,%r12,%r11,%r10) + +// Add row 3 + + movq $0x0000000200000000, %rbx + mulpadi(%r10,%r12,%r11,(x)) + mulpadd(%r10,%r13,%r12,8(x)) + mulpadd(%r10,%r14,%r13,16(x)) + mulpadd(%r10,%r15,%r14,24(x)) + mulpadd(%r10,%r8,%r15,32(x)) + mulpadd(%r10,%r9,%r8,40(x)) + negq %r10 + +// Montgomery reduce window 3 + + montredc(%r10, %r9,%r8,%r15,%r14,%r13,%r12,%r11) + +// Add row 4. The multiplier y[4] = 1, so we just add x to the window +// while extending it with one more digit, initially this carry + + xorq %r11, %r11 + addq (x), %r12 + adcq 8(x), %r13 + adcq 16(x), %r14 + adcq 24(x), %r15 + adcq 32(x), %r8 + adcq 40(x), %r9 + adcq %r11, %r10 + adcq %r11, %r11 + +// Montgomery reduce window 4 + + montredc(%r11, %r10,%r9,%r8,%r15,%r14,%r13,%r12) + +// Add row 5, The multiplier y[5] = 0, so this is trivial: all we do is +// bring down another zero digit into the window. + + xorq %r12, %r12 + +// Montgomery reduce window 5 + + montredc(%r12, %r11,%r10,%r9,%r8,%r15,%r14,%r13) + +// We now have a pre-reduced 7-word form [%r12;%r11;%r10;%r9;%r8;%r15;%r14] + +// We know, writing B = 2^{6*64} that the full implicit result is +// B^2 c <= z + (B - 1) * p < B * p + (B - 1) * p < 2 * B * p, +// so the top half is certainly < 2 * p. If c = 1 already, we know +// subtracting p will give the reduced modulus. But now we do a +// comparison to catch cases where the residue is >= p. +// First set [0;0;0;w;v;u] = 2^384 - p_384 + + movq $0xffffffff00000001, u + movl $0x00000000ffffffff, vshort + movl $0x0000000000000001, wshort + +// Let dd = [%r11;%r10;%r9;%r8;%r15;%r14] be the topless 6-word intermediate result. +// Set CF if the addition dd + (2^384 - p_384) >= 2^384, hence iff dd >= p_384. + + movq %r14, d + addq u, d + movq %r15, d + adcq v, d + movq %r8, d + adcq w, d + movq %r9, d + adcq $0, d + movq %r10, d + adcq $0, d + movq %r11, d + adcq $0, d + +// Now just add this new carry into the existing %r12. It's easy to see they +// can't both be 1 by our range assumptions, so this gives us a {0,1} flag + + adcq $0, %r12 + +// Now convert it into a bitmask + + negq %r12 + +// Masked addition of 2^384 - p_384, hence subtraction of p_384 + + andq %r12, u + andq %r12, v + andq %r12, w + + addq u, %r14 + adcq v, %r15 + adcq w, %r8 + adcq $0, %r9 + adcq $0, %r10 + adcq $0, %r11 + +// Write back the result + + movq %r14, (z) + movq %r15, 8(z) + movq %r8, 16(z) + movq %r9, 24(z) + movq %r10, 32(z) + movq %r11, 40(z) + +// Restore registers and return + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbx) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(bignum_tomont_p384_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/curve25519_x25519.S b/cbits/s2n/x86_att/curve25519_x25519.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/curve25519_x25519.S @@ -0,0 +1,2189 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// The x25519 function for curve25519 +// Inputs scalar[4], point[4]; output res[4] +// +// extern void curve25519_x25519 +// (uint64_t res[static 4],const uint64_t scalar[static 4], +// const uint64_t point[static 4]); +// +// The function has a second prototype considering the arguments as arrays +// of bytes rather than 64-bit words. The underlying code is the same, since +// the x86 platform is little-endian. +// +// extern void curve25519_x25519_byte +// (uint8_t res[static 32],const uint8_t scalar[static 32], +// const uint8_t point[static 32]); +// +// Given a scalar n and the X coordinate of an input point P = (X,Y) on +// curve25519 (Y can live in any extension field of characteristic 2^255-19), +// this returns the X coordinate of n * P = (X, Y), or 0 when n * P is the +// point at infinity. Both n and X inputs are first slightly modified/mangled +// as specified in the relevant RFC (https://www.rfc-editor.org/rfc/rfc7748); +// in particular the lower three bits of n are set to zero. Does not implement +// the zero-check specified in Section 6.1. +// +// Standard x86-64 ABI: RDI = res, RSI = scalar, RDX = point +// Microsoft x64 ABI: RCX = res, RDX = scalar, R8 = point +// ---------------------------------------------------------------------------- +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(curve25519_x25519) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(curve25519_x25519) + S2N_BN_SYM_PRIVACY_DIRECTIVE(curve25519_x25519) + S2N_BN_SYM_VISIBILITY_DIRECTIVE(curve25519_x25519_byte) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(curve25519_x25519_byte) + S2N_BN_SYM_PRIVACY_DIRECTIVE(curve25519_x25519_byte) + .text + .balign 32 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Stable homes for the input result argument during the whole body +// and other variables that are only needed prior to the modular inverse. + +#define res 12*NUMSIZE(%rsp) +#define i 12*NUMSIZE+8(%rsp) +#define swap 12*NUMSIZE+16(%rsp) + +// Pointers to result x coord to be written, assuming the base "res" +// has been loaded into %rbp + +#define resx 0(%rbp) + +// Pointer-offset pairs for temporaries on stack with some aliasing. +// Both dmsn and dnsm need space for >= 5 digits, and we allocate 8 + +#define scalar (0*NUMSIZE)(%rsp) + +#define pointx (1*NUMSIZE)(%rsp) + +#define dm (2*NUMSIZE)(%rsp) + +#define zm (3*NUMSIZE)(%rsp) +#define sm (3*NUMSIZE)(%rsp) +#define dpro (3*NUMSIZE)(%rsp) + +#define sn (4*NUMSIZE)(%rsp) + +#define dn (5*NUMSIZE)(%rsp) +#define e (5*NUMSIZE)(%rsp) + +#define dmsn (6*NUMSIZE)(%rsp) +#define p (6*NUMSIZE)(%rsp) +#define zn (7*NUMSIZE)(%rsp) + +#define xm (8*NUMSIZE)(%rsp) +#define dnsm (8*NUMSIZE)(%rsp) +#define spro (8*NUMSIZE)(%rsp) + +#define xn (10*NUMSIZE)(%rsp) +#define s (10*NUMSIZE)(%rsp) + +#define d (11*NUMSIZE)(%rsp) + +// Total size to reserve on the stack +// This includes space for the 3 other variables above +// and rounds up to a multiple of 32 + +#define NSPACE 13*NUMSIZE + +// Macro wrapping up the basic field operation bignum_mul_p25519, only +// trivially different from a pure function call to that subroutine. + +#define mul_p25519(P0,P1,P2) \ + xorl %edi, %edi ; \ + movq P2, %rdx ; \ + mulxq P1, %r8, %r9 ; \ + mulxq 0x8+P1, %rax, %r10 ; \ + addq %rax, %r9 ; \ + mulxq 0x10+P1, %rax, %r11 ; \ + adcq %rax, %r10 ; \ + mulxq 0x18+P1, %rax, %r12 ; \ + adcq %rax, %r11 ; \ + adcq %rdi, %r12 ; \ + xorl %edi, %edi ; \ + movq 0x8+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x18+P1, %rax, %r13 ; \ + adcxq %rax, %r12 ; \ + adoxq %rdi, %r13 ; \ + adcxq %rdi, %r13 ; \ + xorl %edi, %edi ; \ + movq 0x10+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + mulxq 0x18+P1, %rax, %r14 ; \ + adcxq %rax, %r13 ; \ + adoxq %rdi, %r14 ; \ + adcxq %rdi, %r14 ; \ + xorl %edi, %edi ; \ + movq 0x18+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r13 ; \ + adoxq %rbx, %r14 ; \ + mulxq 0x18+P1, %rax, %r15 ; \ + adcxq %rax, %r14 ; \ + adoxq %rdi, %r15 ; \ + adcxq %rdi, %r15 ; \ + movl $0x26, %edx ; \ + xorl %edi, %edi ; \ + mulxq %r12, %rax, %rbx ; \ + adcxq %rax, %r8 ; \ + adoxq %rbx, %r9 ; \ + mulxq %r13, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq %r14, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq %r15, %rax, %r12 ; \ + adcxq %rax, %r11 ; \ + adoxq %rdi, %r12 ; \ + adcxq %rdi, %r12 ; \ + shldq $0x1, %r11, %r12 ; \ + movl $0x13, %edx ; \ + incq %r12; \ + bts $63, %r11 ; \ + mulxq %r12, %rax, %rbx ; \ + addq %rax, %r8 ; \ + adcq %rbx, %r9 ; \ + adcq %rdi, %r10 ; \ + adcq %rdi, %r11 ; \ + sbbq %rax, %rax ; \ + notq %rax; \ + andq %rdx, %rax ; \ + subq %rax, %r8 ; \ + sbbq %rdi, %r9 ; \ + sbbq %rdi, %r10 ; \ + sbbq %rdi, %r11 ; \ + btr $63, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// A version of multiplication that only guarantees output < 2 * p_25519. +// This basically skips the +1 and final correction in quotient estimation. + +#define mul_4(P0,P1,P2) \ + xorl %ecx, %ecx ; \ + movq P2, %rdx ; \ + mulxq P1, %r8, %r9 ; \ + mulxq 0x8+P1, %rax, %r10 ; \ + addq %rax, %r9 ; \ + mulxq 0x10+P1, %rax, %r11 ; \ + adcq %rax, %r10 ; \ + mulxq 0x18+P1, %rax, %r12 ; \ + adcq %rax, %r11 ; \ + adcq %rcx, %r12 ; \ + xorl %ecx, %ecx ; \ + movq 0x8+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x18+P1, %rax, %r13 ; \ + adcxq %rax, %r12 ; \ + adoxq %rcx, %r13 ; \ + adcxq %rcx, %r13 ; \ + xorl %ecx, %ecx ; \ + movq 0x10+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + mulxq 0x18+P1, %rax, %r14 ; \ + adcxq %rax, %r13 ; \ + adoxq %rcx, %r14 ; \ + adcxq %rcx, %r14 ; \ + xorl %ecx, %ecx ; \ + movq 0x18+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r13 ; \ + adoxq %rbx, %r14 ; \ + mulxq 0x18+P1, %rax, %r15 ; \ + adcxq %rax, %r14 ; \ + adoxq %rcx, %r15 ; \ + adcxq %rcx, %r15 ; \ + movl $0x26, %edx ; \ + xorl %ecx, %ecx ; \ + mulxq %r12, %rax, %rbx ; \ + adcxq %rax, %r8 ; \ + adoxq %rbx, %r9 ; \ + mulxq %r13, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq %r14, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq %r15, %rax, %r12 ; \ + adcxq %rax, %r11 ; \ + adoxq %rcx, %r12 ; \ + adcxq %rcx, %r12 ; \ + shldq $0x1, %r11, %r12 ; \ + btr $0x3f, %r11 ; \ + movl $0x13, %edx ; \ + imulq %r12, %rdx ; \ + addq %rdx, %r8 ; \ + adcq %rcx, %r9 ; \ + adcq %rcx, %r10 ; \ + adcq %rcx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// Multiplication just giving a 5-digit result (actually < 39 * p_25519) +// by not doing anything beyond the first stage of reduction + +#define mul_5(P0,P1,P2) \ + xorl %edi, %edi ; \ + movq P2, %rdx ; \ + mulxq P1, %r8, %r9 ; \ + mulxq 0x8+P1, %rax, %r10 ; \ + addq %rax, %r9 ; \ + mulxq 0x10+P1, %rax, %r11 ; \ + adcq %rax, %r10 ; \ + mulxq 0x18+P1, %rax, %r12 ; \ + adcq %rax, %r11 ; \ + adcq %rdi, %r12 ; \ + xorl %edi, %edi ; \ + movq 0x8+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x18+P1, %rax, %r13 ; \ + adcxq %rax, %r12 ; \ + adoxq %rdi, %r13 ; \ + adcxq %rdi, %r13 ; \ + xorl %edi, %edi ; \ + movq 0x10+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + mulxq 0x18+P1, %rax, %r14 ; \ + adcxq %rax, %r13 ; \ + adoxq %rdi, %r14 ; \ + adcxq %rdi, %r14 ; \ + xorl %edi, %edi ; \ + movq 0x18+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r13 ; \ + adoxq %rbx, %r14 ; \ + mulxq 0x18+P1, %rax, %r15 ; \ + adcxq %rax, %r14 ; \ + adoxq %rdi, %r15 ; \ + adcxq %rdi, %r15 ; \ + movl $0x26, %edx ; \ + xorl %edi, %edi ; \ + mulxq %r12, %rax, %rbx ; \ + adcxq %rax, %r8 ; \ + adoxq %rbx, %r9 ; \ + mulxq %r13, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq %r14, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq %r15, %rax, %r12 ; \ + adcxq %rax, %r11 ; \ + adoxq %rdi, %r12 ; \ + adcxq %rdi, %r12 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 ; \ + movq %r12, 0x20+P0 + +// Squaring just giving a result < 2 * p_25519, which is done by +// basically skipping the +1 in the quotient estimate and the final +// optional correction. + +#define sqr_4(P0,P1) \ + movq P1, %rdx ; \ + mulxq %rdx, %r8, %r15 ; \ + mulxq 0x8+P1, %r9, %r10 ; \ + mulxq 0x18+P1, %r11, %r12 ; \ + movq 0x10+P1, %rdx ; \ + mulxq 0x18+P1, %r13, %r14 ; \ + xorl %ebx, %ebx ; \ + mulxq P1, %rax, %rcx ; \ + adcxq %rax, %r10 ; \ + adoxq %rcx, %r11 ; \ + mulxq 0x8+P1, %rax, %rcx ; \ + adcxq %rax, %r11 ; \ + adoxq %rcx, %r12 ; \ + movq 0x18+P1, %rdx ; \ + mulxq 0x8+P1, %rax, %rcx ; \ + adcxq %rax, %r12 ; \ + adoxq %rcx, %r13 ; \ + adcxq %rbx, %r13 ; \ + adoxq %rbx, %r14 ; \ + adcq %rbx, %r14 ; \ + xorl %ebx, %ebx ; \ + adcxq %r9, %r9 ; \ + adoxq %r15, %r9 ; \ + movq 0x8+P1, %rdx ; \ + mulxq %rdx, %rax, %rdx ; \ + adcxq %r10, %r10 ; \ + adoxq %rax, %r10 ; \ + adcxq %r11, %r11 ; \ + adoxq %rdx, %r11 ; \ + movq 0x10+P1, %rdx ; \ + mulxq %rdx, %rax, %rdx ; \ + adcxq %r12, %r12 ; \ + adoxq %rax, %r12 ; \ + adcxq %r13, %r13 ; \ + adoxq %rdx, %r13 ; \ + movq 0x18+P1, %rdx ; \ + mulxq %rdx, %rax, %r15 ; \ + adcxq %r14, %r14 ; \ + adoxq %rax, %r14 ; \ + adcxq %rbx, %r15 ; \ + adoxq %rbx, %r15 ; \ + movl $0x26, %edx ; \ + xorl %ebx, %ebx ; \ + mulxq %r12, %rax, %rcx ; \ + adcxq %rax, %r8 ; \ + adoxq %rcx, %r9 ; \ + mulxq %r13, %rax, %rcx ; \ + adcxq %rax, %r9 ; \ + adoxq %rcx, %r10 ; \ + mulxq %r14, %rax, %rcx ; \ + adcxq %rax, %r10 ; \ + adoxq %rcx, %r11 ; \ + mulxq %r15, %rax, %r12 ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + adcxq %rbx, %r12 ; \ + shldq $0x1, %r11, %r12 ; \ + btr $0x3f, %r11 ; \ + movl $0x13, %edx ; \ + imulq %r12, %rdx ; \ + addq %rdx, %r8 ; \ + adcq %rbx, %r9 ; \ + adcq %rbx, %r10 ; \ + adcq %rbx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// Add 5-digit inputs and normalize to 4 digits + +#define add5_4(P0,P1,P2) \ + movq P1, %r8 ; \ + addq P2, %r8 ; \ + movq 8+P1, %r9 ; \ + adcq 8+P2, %r9 ; \ + movq 16+P1, %r10 ; \ + adcq 16+P2, %r10 ; \ + movq 24+P1, %r11 ; \ + adcq 24+P2, %r11 ; \ + movq 32+P1, %r12 ; \ + adcq 32+P2, %r12 ; \ + xorl %ebx, %ebx ; \ + shldq $0x1, %r11, %r12 ; \ + btr $0x3f, %r11 ; \ + movl $0x13, %edx ; \ + imulq %r12, %rdx ; \ + addq %rdx, %r8 ; \ + adcq %rbx, %r9 ; \ + adcq %rbx, %r10 ; \ + adcq %rbx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// Modular addition with double modulus 2 * p_25519 = 2^256 - 38. +// This only ensures that the result fits in 4 digits, not that it is reduced +// even w.r.t. double modulus. The result is always correct modulo provided +// the sum of the inputs is < 2^256 + 2^256 - 38, so in particular provided +// at least one of them is reduced double modulo. + +#define add_twice4(P0,P1,P2) \ + movq P1, %r8 ; \ + xorl %ecx, %ecx ; \ + addq P2, %r8 ; \ + movq 0x8+P1, %r9 ; \ + adcq 0x8+P2, %r9 ; \ + movq 0x10+P1, %r10 ; \ + adcq 0x10+P2, %r10 ; \ + movq 0x18+P1, %r11 ; \ + adcq 0x18+P2, %r11 ; \ + movl $38, %eax ; \ + cmovncq %rcx, %rax ; \ + addq %rax, %r8 ; \ + adcq %rcx, %r9 ; \ + adcq %rcx, %r10 ; \ + adcq %rcx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// Modular subtraction with double modulus 2 * p_25519 = 2^256 - 38 + +#define sub_twice4(P0,P1,P2) \ + movq P1, %r8 ; \ + xorl %ebx, %ebx ; \ + subq P2, %r8 ; \ + movq 8+P1, %r9 ; \ + sbbq 8+P2, %r9 ; \ + movl $38, %ecx ; \ + movq 16+P1, %r10 ; \ + sbbq 16+P2, %r10 ; \ + movq 24+P1, %rax ; \ + sbbq 24+P2, %rax ; \ + cmovncq %rbx, %rcx ; \ + subq %rcx, %r8 ; \ + sbbq %rbx, %r9 ; \ + sbbq %rbx, %r10 ; \ + sbbq %rbx, %rax ; \ + movq %r8, P0 ; \ + movq %r9, 8+P0 ; \ + movq %r10, 16+P0 ; \ + movq %rax, 24+P0 + +// 5-digit subtraction with upward bias to make it positive, adding +// 1000 * (2^255 - 19) = 2^256 * 500 - 19000, then normalizing to 4 digits + +#define sub5_4(P0,P1,P2) \ + movq P1, %r8 ; \ + subq P2, %r8 ; \ + movq 8+P1, %r9 ; \ + sbbq 8+P2, %r9 ; \ + movq 16+P1, %r10 ; \ + sbbq 16+P2, %r10 ; \ + movq 24+P1, %r11 ; \ + sbbq 24+P2, %r11 ; \ + movq 32+P1, %r12 ; \ + sbbq 32+P2, %r12 ; \ + xorl %ebx, %ebx ; \ + subq $19000, %r8 ; \ + sbbq %rbx, %r9 ; \ + sbbq %rbx, %r10 ; \ + sbbq %rbx, %r11 ; \ + sbbq %rbx, %r12 ; \ + addq $500, %r12 ; \ + shldq $0x1, %r11, %r12 ; \ + btr $0x3f, %r11 ; \ + movl $0x13, %edx ; \ + imulq %r12, %rdx ; \ + addq %rdx, %r8 ; \ + adcq %rbx, %r9 ; \ + adcq %rbx, %r10 ; \ + adcq %rbx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// Combined z = c * x + y with reduction only < 2 * p_25519 +// It is assumed that 19 * (c * x + y) < 2^60 * 2^256 so we +// don't need a high mul in the final part. + +#define cmadd_4(P0,C1,P2,P3) \ + movq P3, %r8 ; \ + movq 8+P3, %r9 ; \ + movq 16+P3, %r10 ; \ + movq 24+P3, %r11 ; \ + xorl %edi, %edi ; \ + movq $C1, %rdx ; \ + mulxq P2, %rax, %rbx ; \ + adcxq %rax, %r8 ; \ + adoxq %rbx, %r9 ; \ + mulxq 8+P2, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq 16+P2, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 24+P2, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rdi, %rbx ; \ + adcxq %rdi, %rbx ; \ + shldq $0x1, %r11, %rbx ; \ + btr $63, %r11 ; \ + movl $0x13, %edx ; \ + imulq %rdx, %rbx ; \ + addq %rbx, %r8 ; \ + adcq %rdi, %r9 ; \ + adcq %rdi, %r10 ; \ + adcq %rdi, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// Multiplex: z := if NZ then x else y + +#define mux_4(P0,P1,P2) \ + movq P1, %rax ; \ + movq P2, %rcx ; \ + cmovzq %rcx, %rax ; \ + movq %rax, P0 ; \ + movq 8+P1, %rax ; \ + movq 8+P2, %rcx ; \ + cmovzq %rcx, %rax ; \ + movq %rax, 8+P0 ; \ + movq 16+P1, %rax ; \ + movq 16+P2, %rcx ; \ + cmovzq %rcx, %rax ; \ + movq %rax, 16+P0 ; \ + movq 24+P1, %rax ; \ + movq 24+P2, %rcx ; \ + cmovzq %rcx, %rax ; \ + movq %rax, 24+P0 + +S2N_BN_SYMBOL(curve25519_x25519): +S2N_BN_SYMBOL(curve25519_x25519_byte): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx +#endif + +// Save registers, make room for temps, preserve input arguments. + + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(NSPACE) + +// Move the output pointer to a stable place + + movq %rdi, res + +// Copy the inputs to the local variables with minimal mangling: +// +// - The scalar is in principle turned into 01xxx...xxx000 but +// in the structure below the special handling of these bits is +// explicit in the main computation; the scalar is just copied. +// +// - The point x coord is reduced mod 2^255 by masking off the +// top bit. In the main loop we only need reduction < 2 * p_25519. + + movq (%rsi), %rax + movq %rax, (%rsp) + movq 8(%rsi), %rax + movq %rax, 8(%rsp) + movq 16(%rsi), %rax + movq %rax, 16(%rsp) + movq 24(%rsi), %rax + movq %rax, 24(%rsp) + + movq (%rdx), %r8 + movq 8(%rdx), %r9 + movq 16(%rdx), %r10 + movq 24(%rdx), %r11 + btr $63, %r11 + movq %r8, 32(%rsp) + movq %r9, 40(%rsp) + movq %r10, 48(%rsp) + movq %r11, 56(%rsp) + +// Initialize with explicit doubling in order to handle set bit 254. +// Set swap = 1 and (xm,zm) = (x,1) then double as (xn,zn) = 2 * (x,1). +// We use the fact that the point x coordinate is still in registers. +// Since zm = 1 we could do the doubling with an operation count of +// 2 * S + M instead of 2 * S + 2 * M, but it doesn't seem worth +// the slight complication arising from a different linear combination. + + movl $1, %eax + movq %rax, swap + movq %r8, 256(%rsp) + movq %rax, 96(%rsp) + xorl %eax, %eax + movq %r9, 264(%rsp) + movq %rax, 104(%rsp) + movq %r10, 272(%rsp) + movq %rax, 112(%rsp) + movq %r11, 280(%rsp) + movq %rax, 120(%rsp) + + sub_twice4(d,xm,zm) + add_twice4(s,xm,zm) + sqr_4(d,d) + sqr_4(s,s) + sub_twice4(p,s,d) + cmadd_4(e,0x1db42,p,d) + mul_4(xn,s,d) + mul_4(zn,p,e) + +// The main loop over unmodified bits from i = 253, ..., i = 3 (inclusive). +// This is a classic Montgomery ladder, with the main coordinates only +// reduced mod 2 * p_25519, some intermediate results even more loosely. + + movl $253, %eax + movq %rax, i + +Lcurve25519_x25519_scalarloop: + +// sm = xm + zm; sn = xn + zn; dm = xm - zm; dn = xn - zn + + sub_twice4(dm,xm,zm) + add_twice4(sn,xn,zn) + sub_twice4(dn,xn,zn) + add_twice4(sm,xm,zm) + +// DOUBLING: mux d = xt - zt and s = xt + zt for appropriate choice of (xt,zt) + + movq i, %rdx + movq %rdx, %rcx + shrq $6, %rdx + movq (%rsp,%rdx,8), %rdx + shrq %cl, %rdx + andq $1, %rdx + cmpq swap, %rdx + movq %rdx, swap + mux_4(d,dm,dn) + mux_4(s,sm,sn) + +// ADDING: dmsn = dm * sn; dnsm = sm * dn + + mul_5(dnsm,sm,dn) + mul_5(dmsn,sn,dm) + +// DOUBLING: d = (xt - zt)^2 + + sqr_4(d,d) + +// ADDING: dpro = (dmsn - dnsm)^2, spro = (dmsn + dnsm)^2 +// DOUBLING: s = (xt + zt)^2 + + sub5_4(dpro,dmsn,dnsm) + add5_4(spro,dmsn,dnsm) + sqr_4(s,s) + sqr_4(dpro,dpro) + +// DOUBLING: p = 4 * xt * zt = s - d + + sub_twice4(p,s,d) + +// ADDING: xm' = (dmsn + dnsm)^2 + + sqr_4(xm,spro) + +// DOUBLING: e = 121666 * p + d + + cmadd_4(e,0x1db42,p,d) + +// DOUBLING: xn' = (xt + zt)^2 * (xt - zt)^2 = s * d + + mul_4(xn,s,d) + +// DOUBLING: zn' = (4 * xt * zt) * ((xt - zt)^2 + 121666 * (4 * xt * zt)) +// = p * (d + 121666 * p) + + mul_4(zn,p,e) + +// ADDING: zm' = x * (dmsn - dnsm)^2 + + mul_4(zm,dpro,pointx) + +// Loop down as far as 3 (inclusive) + + movq i, %rax + subq $1, %rax + movq %rax, i + cmpq $3, %rax + jnc Lcurve25519_x25519_scalarloop + +// Multiplex directly into (xn,zn) then do three pure doubling steps; +// this accounts for the implicit zeroing of the three lowest bits +// of the scalar. + + movq swap, %rdx + testq %rdx, %rdx + mux_4(xn,xm,xn) + mux_4(zn,zm,zn) + + sub_twice4(d,xn,zn) + add_twice4(s,xn,zn) + sqr_4(d,d) + sqr_4(s,s) + sub_twice4(p,s,d) + cmadd_4(e,0x1db42,p,d) + mul_4(xn,s,d) + mul_4(zn,p,e) + + sub_twice4(d,xn,zn) + add_twice4(s,xn,zn) + sqr_4(d,d) + sqr_4(s,s) + sub_twice4(p,s,d) + cmadd_4(e,0x1db42,p,d) + mul_4(xn,s,d) + mul_4(zn,p,e) + + sub_twice4(d,xn,zn) + add_twice4(s,xn,zn) + sqr_4(d,d) + sqr_4(s,s) + sub_twice4(p,s,d) + cmadd_4(e,0x1db42,p,d) + mul_4(xn,s,d) + mul_4(zn,p,e) + +// The projective result of the scalar multiplication is now (xn,zn). +// Prepare to call the modular inverse function to get zn' = 1/zn + + leaq 224(%rsp), %rdi + leaq 224(%rsp), %rsi + +// Inline copy of bignum_inv_p25519, identical except for stripping out +// the prologue and epilogue saving and restoring registers and making +// and reclaiming room on the stack. For more details and explanations see +// "x86/curve25519/bignum_inv_p25519.S". Note that the stack it uses for +// its own temporaries is 208 bytes, so it has no effect on variables +// that are needed in the rest of our computation here: res, xn and zn. + + movq %rdi, 0xc0(%rsp) + xorl %eax, %eax + leaq -0x13(%rax), %rcx + notq %rax + movq %rcx, (%rsp) + movq %rax, 0x8(%rsp) + movq %rax, 0x10(%rsp) + btr $0x3f, %rax + movq %rax, 0x18(%rsp) + movq (%rsi), %rdx + movq 0x8(%rsi), %rcx + movq 0x10(%rsi), %r8 + movq 0x18(%rsi), %r9 + movl $0x1, %eax + xorl %r10d, %r10d + bts $0x3f, %r9 + adcq %r10, %rax + imulq $0x13, %rax, %rax + addq %rax, %rdx + adcq %r10, %rcx + adcq %r10, %r8 + adcq %r10, %r9 + movl $0x13, %eax + cmovbq %r10, %rax + subq %rax, %rdx + sbbq %r10, %rcx + sbbq %r10, %r8 + sbbq %r10, %r9 + btr $0x3f, %r9 + movq %rdx, 0x20(%rsp) + movq %rcx, 0x28(%rsp) + movq %r8, 0x30(%rsp) + movq %r9, 0x38(%rsp) + xorl %eax, %eax + movq %rax, 0x40(%rsp) + movq %rax, 0x48(%rsp) + movq %rax, 0x50(%rsp) + movq %rax, 0x58(%rsp) + movabsq $0xa0f99e2375022099, %rax + movq %rax, 0x60(%rsp) + movabsq $0xa8c68f3f1d132595, %rax + movq %rax, 0x68(%rsp) + movabsq $0x6c6c893805ac5242, %rax + movq %rax, 0x70(%rsp) + movabsq $0x276508b241770615, %rax + movq %rax, 0x78(%rsp) + movq $0xa, 0x90(%rsp) + movq $0x1, 0x98(%rsp) + jmp Lcurve25519_x25519_midloop +Lcurve25519_x25519_inverseloop: + movq %r8, %r9 + sarq $0x3f, %r9 + xorq %r9, %r8 + subq %r9, %r8 + movq %r10, %r11 + sarq $0x3f, %r11 + xorq %r11, %r10 + subq %r11, %r10 + movq %r12, %r13 + sarq $0x3f, %r13 + xorq %r13, %r12 + subq %r13, %r12 + movq %r14, %r15 + sarq $0x3f, %r15 + xorq %r15, %r14 + subq %r15, %r14 + movq %r8, %rax + andq %r9, %rax + movq %r10, %rdi + andq %r11, %rdi + addq %rax, %rdi + movq %rdi, 0x80(%rsp) + movq %r12, %rax + andq %r13, %rax + movq %r14, %rsi + andq %r15, %rsi + addq %rax, %rsi + movq %rsi, 0x88(%rsp) + xorl %ebx, %ebx + movq (%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rdi + adcq %rdx, %rbx + movq 0x20(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rdi + adcq %rdx, %rbx + xorl %ebp, %ebp + movq (%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x20(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + xorl %ecx, %ecx + movq 0x8(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x28(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + shrdq $0x3b, %rbx, %rdi + movq %rdi, (%rsp) + xorl %edi, %edi + movq 0x8(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rbp + adcq %rdx, %rdi + movq 0x28(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rdi + shrdq $0x3b, %rbp, %rsi + movq %rsi, 0x20(%rsp) + xorl %esi, %esi + movq 0x10(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rsi + movq 0x30(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rsi + shrdq $0x3b, %rcx, %rbx + movq %rbx, 0x8(%rsp) + xorl %ebx, %ebx + movq 0x10(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rdi + adcq %rdx, %rbx + movq 0x30(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rdi + adcq %rdx, %rbx + shrdq $0x3b, %rdi, %rbp + movq %rbp, 0x28(%rsp) + movq 0x18(%rsp), %rax + xorq %r9, %rax + movq %rax, %rbp + sarq $0x3f, %rbp + andq %r8, %rbp + negq %rbp + mulq %r8 + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x38(%rsp), %rax + xorq %r11, %rax + movq %rax, %rdx + sarq $0x3f, %rdx + andq %r10, %rdx + subq %rdx, %rbp + mulq %r10 + addq %rax, %rsi + adcq %rdx, %rbp + shrdq $0x3b, %rsi, %rcx + movq %rcx, 0x10(%rsp) + shrdq $0x3b, %rbp, %rsi + movq 0x18(%rsp), %rax + movq %rsi, 0x18(%rsp) + xorq %r13, %rax + movq %rax, %rsi + sarq $0x3f, %rsi + andq %r12, %rsi + negq %rsi + mulq %r12 + addq %rax, %rbx + adcq %rdx, %rsi + movq 0x38(%rsp), %rax + xorq %r15, %rax + movq %rax, %rdx + sarq $0x3f, %rdx + andq %r14, %rdx + subq %rdx, %rsi + mulq %r14 + addq %rax, %rbx + adcq %rdx, %rsi + shrdq $0x3b, %rbx, %rdi + movq %rdi, 0x30(%rsp) + shrdq $0x3b, %rsi, %rbx + movq %rbx, 0x38(%rsp) + movq 0x80(%rsp), %rbx + movq 0x88(%rsp), %rbp + xorl %ecx, %ecx + movq 0x40(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x60(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + xorl %esi, %esi + movq 0x40(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, 0x40(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq 0x60(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, 0x60(%rsp) + xorl %ebx, %ebx + movq 0x48(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq 0x68(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rbx + xorl %ebp, %ebp + movq 0x48(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rcx, 0x48(%rsp) + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x68(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + movq %rsi, 0x68(%rsp) + xorl %ecx, %ecx + movq 0x50(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x70(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + xorl %esi, %esi + movq 0x50(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, 0x50(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq 0x70(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, 0x70(%rsp) + movq 0x58(%rsp), %rax + xorq %r9, %rax + movq %r9, %rbx + andq %r8, %rbx + negq %rbx + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq 0x78(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %rbx + mulq %r10 + addq %rax, %rcx + adcq %rbx, %rdx + movq %rdx, %rbx + shldq $0x1, %rcx, %rdx + sarq $0x3f, %rbx + addq %rbx, %rdx + movl $0x13, %eax + imulq %rdx + movq 0x40(%rsp), %r8 + addq %rax, %r8 + movq %r8, 0x40(%rsp) + movq 0x48(%rsp), %r8 + adcq %rdx, %r8 + movq %r8, 0x48(%rsp) + movq 0x50(%rsp), %r8 + adcq %rbx, %r8 + movq %r8, 0x50(%rsp) + adcq %rbx, %rcx + shlq $0x3f, %rax + addq %rax, %rcx + movq 0x58(%rsp), %rax + movq %rcx, 0x58(%rsp) + xorq %r13, %rax + movq %r13, %rcx + andq %r12, %rcx + negq %rcx + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rcx + movq 0x78(%rsp), %rax + xorq %r15, %rax + movq %r15, %rdx + andq %r14, %rdx + subq %rdx, %rcx + mulq %r14 + addq %rax, %rsi + adcq %rcx, %rdx + movq %rdx, %rcx + shldq $0x1, %rsi, %rdx + sarq $0x3f, %rcx + movl $0x13, %eax + addq %rcx, %rdx + imulq %rdx + movq 0x60(%rsp), %r8 + addq %rax, %r8 + movq %r8, 0x60(%rsp) + movq 0x68(%rsp), %r8 + adcq %rdx, %r8 + movq %r8, 0x68(%rsp) + movq 0x70(%rsp), %r8 + adcq %rcx, %r8 + movq %r8, 0x70(%rsp) + adcq %rcx, %rsi + shlq $0x3f, %rax + addq %rax, %rsi + movq %rsi, 0x78(%rsp) +Lcurve25519_x25519_midloop: + movq 0x98(%rsp), %rsi + movq (%rsp), %rdx + movq 0x20(%rsp), %rcx + movq %rdx, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq $0xfffffffffffffffe, %rax + xorl %ebp, %ebp + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %rdx + leaq (%rcx,%rax), %rdi + shlq $0x16, %rdx + shlq $0x16, %rdi + sarq $0x2b, %rdx + sarq $0x2b, %rdi + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %rbx + leaq (%rcx,%rax), %rcx + sarq $0x2a, %rbx + sarq $0x2a, %rcx + movq %rdx, 0xa0(%rsp) + movq %rbx, 0xa8(%rsp) + movq %rdi, 0xb0(%rsp) + movq %rcx, 0xb8(%rsp) + movq (%rsp), %r12 + imulq %r12, %rdi + imulq %rdx, %r12 + movq 0x20(%rsp), %r13 + imulq %r13, %rbx + imulq %rcx, %r13 + addq %rbx, %r12 + addq %rdi, %r13 + sarq $0x14, %r12 + sarq $0x14, %r13 + movq %r12, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + movq %r13, %rcx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq $0xfffffffffffffffe, %rax + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %r8 + leaq (%rcx,%rax), %r10 + shlq $0x16, %r8 + shlq $0x16, %r10 + sarq $0x2b, %r8 + sarq $0x2b, %r10 + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %r15 + leaq (%rcx,%rax), %r11 + sarq $0x2a, %r15 + sarq $0x2a, %r11 + movq %r13, %rbx + movq %r12, %rcx + imulq %r8, %r12 + imulq %r15, %rbx + addq %rbx, %r12 + imulq %r11, %r13 + imulq %r10, %rcx + addq %rcx, %r13 + sarq $0x14, %r12 + sarq $0x14, %r13 + movq %r12, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + movq %r13, %rcx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq 0xa0(%rsp), %rax + imulq %r8, %rax + movq 0xb0(%rsp), %rdx + imulq %r15, %rdx + imulq 0xa8(%rsp), %r8 + imulq 0xb8(%rsp), %r15 + addq %r8, %r15 + leaq (%rax,%rdx), %r9 + movq 0xa0(%rsp), %rax + imulq %r10, %rax + movq 0xb0(%rsp), %rdx + imulq %r11, %rdx + imulq 0xa8(%rsp), %r10 + imulq 0xb8(%rsp), %r11 + addq %r10, %r11 + leaq (%rax,%rdx), %r13 + movq $0xfffffffffffffffe, %rax + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %r8 + leaq (%rcx,%rax), %r12 + shlq $0x15, %r8 + shlq $0x15, %r12 + sarq $0x2b, %r8 + sarq $0x2b, %r12 + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %r10 + leaq (%rcx,%rax), %r14 + sarq $0x2b, %r10 + sarq $0x2b, %r14 + movq %r9, %rax + imulq %r8, %rax + movq %r13, %rdx + imulq %r10, %rdx + imulq %r15, %r8 + imulq %r11, %r10 + addq %r8, %r10 + leaq (%rax,%rdx), %r8 + movq %r9, %rax + imulq %r12, %rax + movq %r13, %rdx + imulq %r14, %rdx + imulq %r15, %r12 + imulq %r11, %r14 + addq %r12, %r14 + leaq (%rax,%rdx), %r12 + movq %rsi, 0x98(%rsp) + decq 0x90(%rsp) + jne Lcurve25519_x25519_inverseloop + movq (%rsp), %rax + movq 0x20(%rsp), %rcx + imulq %r8, %rax + imulq %r10, %rcx + addq %rcx, %rax + sarq $0x3f, %rax + movq %r8, %r9 + sarq $0x3f, %r9 + xorq %r9, %r8 + subq %r9, %r8 + xorq %rax, %r9 + movq %r10, %r11 + sarq $0x3f, %r11 + xorq %r11, %r10 + subq %r11, %r10 + xorq %rax, %r11 + movq %r12, %r13 + sarq $0x3f, %r13 + xorq %r13, %r12 + subq %r13, %r12 + xorq %rax, %r13 + movq %r14, %r15 + sarq $0x3f, %r15 + xorq %r15, %r14 + subq %r15, %r14 + xorq %rax, %r15 + movq %r8, %rax + andq %r9, %rax + movq %r10, %r12 + andq %r11, %r12 + addq %rax, %r12 + xorl %r13d, %r13d + movq 0x40(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x60(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movq 0x48(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r13 + adcq %rdx, %r14 + movq 0x68(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq 0x50(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x70(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x58(%rsp), %rax + xorq %r9, %rax + andq %r8, %r9 + negq %r9 + mulq %r8 + addq %rax, %r15 + adcq %rdx, %r9 + movq 0x78(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %r9 + mulq %r10 + addq %rax, %r15 + adcq %rdx, %r9 + movq %r9, %rax + shldq $0x1, %r15, %rax + sarq $0x3f, %r9 + movl $0x13, %ebx + leaq 0x1(%rax,%r9,1), %rax + imulq %rbx + xorl %ebp, %ebp + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r9, %r14 + adcq %r9, %r15 + shlq $0x3f, %rax + addq %rax, %r15 + cmovns %rbp, %rbx + subq %rbx, %r12 + sbbq %rbp, %r13 + sbbq %rbp, %r14 + sbbq %rbp, %r15 + btr $0x3f, %r15 + movq 0xc0(%rsp), %rdi + movq %r12, (%rdi) + movq %r13, 0x8(%rdi) + movq %r14, 0x10(%rdi) + movq %r15, 0x18(%rdi) + +// Now the result is xn * (1/zn), fully reduced modulo p. +// Note that in the degenerate case zn = 0 (mod p_25519), the +// modular inverse code above will produce 1/zn = 0, giving +// the correct overall X25519 result of zero for the point at +// infinity. + + movq res, %rbp + mul_p25519(resx,xn,zn) + +// Restore stack and registers + + CFI_INC_RSP(NSPACE) + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(curve25519_x25519) +S2N_BN_SIZE_DIRECTIVE(curve25519_x25519_byte) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/x86_att/curve25519_x25519_alt.S b/cbits/s2n/x86_att/curve25519_x25519_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/curve25519_x25519_alt.S @@ -0,0 +1,2350 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// The x25519 function for curve25519 +// Inputs scalar[4], point[4]; output res[4] +// +// extern void curve25519_x25519_alt +// (uint64_t res[static 4],const uint64_t scalar[static 4], +// const uint64_t point[static 4]); +// +// The function has a second prototype considering the arguments as arrays +// of bytes rather than 64-bit words. The underlying code is the same, since +// the x86 platform is little-endian. +// +// extern void curve25519_x25519_byte_alt +// (uint8_t res[static 32],const uint8_t scalar[static 32], +// const uint8_t point[static 32]); +// +// Given a scalar n and the X coordinate of an input point P = (X,Y) on +// curve25519 (Y can live in any extension field of characteristic 2^255-19), +// this returns the X coordinate of n * P = (X, Y), or 0 when n * P is the +// point at infinity. Both n and X inputs are first slightly modified/mangled +// as specified in the relevant RFC (https://www.rfc-editor.org/rfc/rfc7748); +// in particular the lower three bits of n are set to zero. Does not implement +// the zero-check specified in Section 6.1. +// +// Standard x86-64 ABI: RDI = res, RSI = scalar, RDX = point +// Microsoft x64 ABI: RCX = res, RDX = scalar, R8 = point +// ---------------------------------------------------------------------------- +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(curve25519_x25519_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(curve25519_x25519_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(curve25519_x25519_alt) + S2N_BN_SYM_VISIBILITY_DIRECTIVE(curve25519_x25519_byte_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(curve25519_x25519_byte_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(curve25519_x25519_byte_alt) + .text + .balign 32 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Stable homes for the input result argument during the whole body +// and other variables that are only needed prior to the modular inverse. + +#define res 12*NUMSIZE(%rsp) +#define i 12*NUMSIZE+8(%rsp) +#define swap 12*NUMSIZE+16(%rsp) + +// Pointers to result x coord to be written, assuming the base "res" +// has been loaded into %rbp + +#define resx 0(%rbp) + +// Pointer-offset pairs for temporaries on stack with some aliasing. +// Both dmsn and dnsm need space for >= 5 digits, and we allocate 8 + +#define scalar (0*NUMSIZE)(%rsp) + +#define pointx (1*NUMSIZE)(%rsp) + +#define dm (2*NUMSIZE)(%rsp) + +#define zm (3*NUMSIZE)(%rsp) +#define sm (3*NUMSIZE)(%rsp) +#define dpro (3*NUMSIZE)(%rsp) + +#define sn (4*NUMSIZE)(%rsp) + +#define dn (5*NUMSIZE)(%rsp) +#define e (5*NUMSIZE)(%rsp) + +#define dmsn (6*NUMSIZE)(%rsp) +#define p (6*NUMSIZE)(%rsp) +#define zn (7*NUMSIZE)(%rsp) + +#define xm (8*NUMSIZE)(%rsp) +#define dnsm (8*NUMSIZE)(%rsp) +#define spro (8*NUMSIZE)(%rsp) + +#define xn (10*NUMSIZE)(%rsp) +#define s (10*NUMSIZE)(%rsp) + +#define d (11*NUMSIZE)(%rsp) + +// Total size to reserve on the stack +// This includes space for the 3 other variables above +// and rounds up to a multiple of 32 + +#define NSPACE 13*NUMSIZE + +// Macro wrapping up the basic field operation bignum_mul_p25519_alt, only +// trivially different from a pure function call to that subroutine. + +#define mul_p25519(P0,P1,P2) \ + movq P1, %rax ; \ + mulq P2; \ + movq %rax, %r8 ; \ + movq %rdx, %r9 ; \ + xorq %r10, %r10 ; \ + xorq %r11, %r11 ; \ + movq P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + movq 0x8+P1, %rax ; \ + mulq P2; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + adcq $0x0, %r11 ; \ + xorq %r12, %r12 ; \ + movq P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq %r12, %r12 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq $0x0, %r12 ; \ + movq 0x10+P1, %rax ; \ + mulq P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq $0x0, %r12 ; \ + xorq %r13, %r13 ; \ + movq P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq %r13, %r13 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + movq 0x18+P1, %rax ; \ + mulq P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + xorq %r14, %r14 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq %r14, %r14 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq $0x0, %r14 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq $0x0, %r14 ; \ + xorq %r15, %r15 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + adcq %r15, %r15 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + adcq $0x0, %r15 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r14 ; \ + adcq %rdx, %r15 ; \ + movl $0x26, %esi ; \ + movq %r12, %rax ; \ + mulq %rsi; \ + addq %rax, %r8 ; \ + adcq %rdx, %r9 ; \ + sbbq %rcx, %rcx ; \ + movq %r13, %rax ; \ + mulq %rsi; \ + subq %rcx, %rdx ; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + sbbq %rcx, %rcx ; \ + movq %r14, %rax ; \ + mulq %rsi; \ + subq %rcx, %rdx ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %rcx, %rcx ; \ + movq %r15, %rax ; \ + mulq %rsi; \ + subq %rcx, %rdx ; \ + xorq %rcx, %rcx ; \ + addq %rax, %r11 ; \ + movq %rdx, %r12 ; \ + adcq %rcx, %r12 ; \ + shldq $0x1, %r11, %r12 ; \ + leaq 0x1(%r12), %rax ; \ + movl $0x13, %esi ; \ + bts $63, %r11 ; \ + imulq %rsi, %rax ; \ + addq %rax, %r8 ; \ + adcq %rcx, %r9 ; \ + adcq %rcx, %r10 ; \ + adcq %rcx, %r11 ; \ + sbbq %rax, %rax ; \ + notq %rax; \ + andq %rsi, %rax ; \ + subq %rax, %r8 ; \ + sbbq %rcx, %r9 ; \ + sbbq %rcx, %r10 ; \ + sbbq %rcx, %r11 ; \ + btr $63, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// A version of multiplication that only guarantees output < 2 * p_25519. +// This basically skips the +1 and final correction in quotient estimation. + +#define mul_4(P0,P1,P2) \ + movq P1, %rax ; \ + mulq P2; \ + movq %rax, %r8 ; \ + movq %rdx, %r9 ; \ + xorq %r10, %r10 ; \ + xorq %r11, %r11 ; \ + movq P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + movq 0x8+P1, %rax ; \ + mulq P2; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + adcq $0x0, %r11 ; \ + xorq %r12, %r12 ; \ + movq P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq %r12, %r12 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq $0x0, %r12 ; \ + movq 0x10+P1, %rax ; \ + mulq P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq $0x0, %r12 ; \ + xorq %r13, %r13 ; \ + movq P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq %r13, %r13 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + movq 0x18+P1, %rax ; \ + mulq P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + xorq %r14, %r14 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq %r14, %r14 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq $0x0, %r14 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq $0x0, %r14 ; \ + xorq %r15, %r15 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + adcq %r15, %r15 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + adcq $0x0, %r15 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r14 ; \ + adcq %rdx, %r15 ; \ + movl $0x26, %esi ; \ + movq %r12, %rax ; \ + mulq %rsi; \ + addq %rax, %r8 ; \ + adcq %rdx, %r9 ; \ + sbbq %rcx, %rcx ; \ + movq %r13, %rax ; \ + mulq %rsi; \ + subq %rcx, %rdx ; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + sbbq %rcx, %rcx ; \ + movq %r14, %rax ; \ + mulq %rsi; \ + subq %rcx, %rdx ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %rcx, %rcx ; \ + movq %r15, %rax ; \ + mulq %rsi; \ + subq %rcx, %rdx ; \ + xorq %rcx, %rcx ; \ + addq %rax, %r11 ; \ + movq %rdx, %r12 ; \ + adcq %rcx, %r12 ; \ + shldq $0x1, %r11, %r12 ; \ + btr $0x3f, %r11 ; \ + movl $0x13, %edx ; \ + imulq %r12, %rdx ; \ + addq %rdx, %r8 ; \ + adcq %rcx, %r9 ; \ + adcq %rcx, %r10 ; \ + adcq %rcx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// Multiplication just giving a 5-digit result (actually < 39 * p_25519) +// by not doing anything beyond the first stage of reduction + +#define mul_5(P0,P1,P2) \ + movq P1, %rax ; \ + mulq P2; \ + movq %rax, %r8 ; \ + movq %rdx, %r9 ; \ + xorq %r10, %r10 ; \ + xorq %r11, %r11 ; \ + movq P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + movq 0x8+P1, %rax ; \ + mulq P2; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + adcq $0x0, %r11 ; \ + xorq %r12, %r12 ; \ + movq P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq %r12, %r12 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq $0x0, %r12 ; \ + movq 0x10+P1, %rax ; \ + mulq P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq $0x0, %r12 ; \ + xorq %r13, %r13 ; \ + movq P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq %r13, %r13 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + movq 0x18+P1, %rax ; \ + mulq P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + xorq %r14, %r14 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq %r14, %r14 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq $0x0, %r14 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq $0x0, %r14 ; \ + xorq %r15, %r15 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + adcq %r15, %r15 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + adcq $0x0, %r15 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r14 ; \ + adcq %rdx, %r15 ; \ + movl $0x26, %esi ; \ + movq %r12, %rax ; \ + mulq %rsi; \ + addq %rax, %r8 ; \ + adcq %rdx, %r9 ; \ + sbbq %rcx, %rcx ; \ + movq %r13, %rax ; \ + mulq %rsi; \ + subq %rcx, %rdx ; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + sbbq %rcx, %rcx ; \ + movq %r14, %rax ; \ + mulq %rsi; \ + subq %rcx, %rdx ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %rcx, %rcx ; \ + movq %r15, %rax ; \ + mulq %rsi; \ + subq %rcx, %rdx ; \ + xorq %rcx, %rcx ; \ + addq %rax, %r11 ; \ + movq %rdx, %r12 ; \ + adcq %rcx, %r12 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 ; \ + movq %r12, 0x20+P0 + +// Squaring just giving a result < 2 * p_25519, which is done by +// basically skipping the +1 in the quotient estimate and the final +// optional correction. + +#define sqr_4(P0,P1) \ + movq P1, %rax ; \ + mulq %rax; \ + movq %rax, %r8 ; \ + movq %rdx, %r9 ; \ + xorq %r10, %r10 ; \ + xorq %r11, %r11 ; \ + movq P1, %rax ; \ + mulq 0x8+P1; \ + addq %rax, %rax ; \ + adcq %rdx, %rdx ; \ + adcq $0x0, %r11 ; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + adcq $0x0, %r11 ; \ + xorq %r12, %r12 ; \ + movq 0x8+P1, %rax ; \ + mulq %rax; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq $0x0, %r12 ; \ + movq P1, %rax ; \ + mulq 0x10+P1; \ + addq %rax, %rax ; \ + adcq %rdx, %rdx ; \ + adcq $0x0, %r12 ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq $0x0, %r12 ; \ + xorq %r13, %r13 ; \ + movq P1, %rax ; \ + mulq 0x18+P1; \ + addq %rax, %rax ; \ + adcq %rdx, %rdx ; \ + adcq $0x0, %r13 ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x10+P1; \ + addq %rax, %rax ; \ + adcq %rdx, %rdx ; \ + adcq $0x0, %r13 ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + xorq %r14, %r14 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x18+P1; \ + addq %rax, %rax ; \ + adcq %rdx, %rdx ; \ + adcq $0x0, %r14 ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq $0x0, %r14 ; \ + movq 0x10+P1, %rax ; \ + mulq %rax; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq $0x0, %r14 ; \ + xorq %r15, %r15 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x18+P1; \ + addq %rax, %rax ; \ + adcq %rdx, %rdx ; \ + adcq $0x0, %r15 ; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + adcq $0x0, %r15 ; \ + movq 0x18+P1, %rax ; \ + mulq %rax; \ + addq %rax, %r14 ; \ + adcq %rdx, %r15 ; \ + movl $0x26, %esi ; \ + movq %r12, %rax ; \ + mulq %rsi; \ + addq %rax, %r8 ; \ + adcq %rdx, %r9 ; \ + sbbq %rcx, %rcx ; \ + movq %r13, %rax ; \ + mulq %rsi; \ + subq %rcx, %rdx ; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + sbbq %rcx, %rcx ; \ + movq %r14, %rax ; \ + mulq %rsi; \ + subq %rcx, %rdx ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %rcx, %rcx ; \ + movq %r15, %rax ; \ + mulq %rsi; \ + subq %rcx, %rdx ; \ + xorq %rcx, %rcx ; \ + addq %rax, %r11 ; \ + movq %rdx, %r12 ; \ + adcq %rcx, %r12 ; \ + shldq $0x1, %r11, %r12 ; \ + btr $0x3f, %r11 ; \ + movl $0x13, %edx ; \ + imulq %r12, %rdx ; \ + addq %rdx, %r8 ; \ + adcq %rcx, %r9 ; \ + adcq %rcx, %r10 ; \ + adcq %rcx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// Add 5-digit inputs and normalize to 4 digits + +#define add5_4(P0,P1,P2) \ + movq P1, %r8 ; \ + addq P2, %r8 ; \ + movq 8+P1, %r9 ; \ + adcq 8+P2, %r9 ; \ + movq 16+P1, %r10 ; \ + adcq 16+P2, %r10 ; \ + movq 24+P1, %r11 ; \ + adcq 24+P2, %r11 ; \ + movq 32+P1, %r12 ; \ + adcq 32+P2, %r12 ; \ + xorl %ebx, %ebx ; \ + shldq $0x1, %r11, %r12 ; \ + btr $0x3f, %r11 ; \ + movl $0x13, %edx ; \ + imulq %r12, %rdx ; \ + addq %rdx, %r8 ; \ + adcq %rbx, %r9 ; \ + adcq %rbx, %r10 ; \ + adcq %rbx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// Modular addition with double modulus 2 * p_25519 = 2^256 - 38. +// This only ensures that the result fits in 4 digits, not that it is reduced +// even w.r.t. double modulus. The result is always correct modulo provided +// the sum of the inputs is < 2^256 + 2^256 - 38, so in particular provided +// at least one of them is reduced double modulo. + +#define add_twice4(P0,P1,P2) \ + movq P1, %r8 ; \ + xorl %ecx, %ecx ; \ + addq P2, %r8 ; \ + movq 0x8+P1, %r9 ; \ + adcq 0x8+P2, %r9 ; \ + movq 0x10+P1, %r10 ; \ + adcq 0x10+P2, %r10 ; \ + movq 0x18+P1, %r11 ; \ + adcq 0x18+P2, %r11 ; \ + movl $38, %eax ; \ + cmovncq %rcx, %rax ; \ + addq %rax, %r8 ; \ + adcq %rcx, %r9 ; \ + adcq %rcx, %r10 ; \ + adcq %rcx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// Modular subtraction with double modulus 2 * p_25519 = 2^256 - 38 + +#define sub_twice4(P0,P1,P2) \ + movq P1, %r8 ; \ + xorl %ebx, %ebx ; \ + subq P2, %r8 ; \ + movq 8+P1, %r9 ; \ + sbbq 8+P2, %r9 ; \ + movl $38, %ecx ; \ + movq 16+P1, %r10 ; \ + sbbq 16+P2, %r10 ; \ + movq 24+P1, %rax ; \ + sbbq 24+P2, %rax ; \ + cmovncq %rbx, %rcx ; \ + subq %rcx, %r8 ; \ + sbbq %rbx, %r9 ; \ + sbbq %rbx, %r10 ; \ + sbbq %rbx, %rax ; \ + movq %r8, P0 ; \ + movq %r9, 8+P0 ; \ + movq %r10, 16+P0 ; \ + movq %rax, 24+P0 + +// 5-digit subtraction with upward bias to make it positive, adding +// 1000 * (2^255 - 19) = 2^256 * 500 - 19000, then normalizing to 4 digits + +#define sub5_4(P0,P1,P2) \ + movq P1, %r8 ; \ + subq P2, %r8 ; \ + movq 8+P1, %r9 ; \ + sbbq 8+P2, %r9 ; \ + movq 16+P1, %r10 ; \ + sbbq 16+P2, %r10 ; \ + movq 24+P1, %r11 ; \ + sbbq 24+P2, %r11 ; \ + movq 32+P1, %r12 ; \ + sbbq 32+P2, %r12 ; \ + xorl %ebx, %ebx ; \ + subq $19000, %r8 ; \ + sbbq %rbx, %r9 ; \ + sbbq %rbx, %r10 ; \ + sbbq %rbx, %r11 ; \ + sbbq %rbx, %r12 ; \ + addq $500, %r12 ; \ + shldq $0x1, %r11, %r12 ; \ + btr $0x3f, %r11 ; \ + movl $0x13, %edx ; \ + imulq %r12, %rdx ; \ + addq %rdx, %r8 ; \ + adcq %rbx, %r9 ; \ + adcq %rbx, %r10 ; \ + adcq %rbx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// Combined z = c * x + y with reduction only < 2 * p_25519 +// It is assumed that 19 * (c * x + y) < 2^60 * 2^256 so we +// don't need a high mul in the final part. + +#define cmadd_4(P0,C1,P2,P3) \ + movq $C1, %rsi ; \ + movq P2, %rax ; \ + mulq %rsi; \ + movq %rax, %r8 ; \ + movq %rdx, %r9 ; \ + movq 0x8+P2, %rax ; \ + xorq %r10, %r10 ; \ + mulq %rsi; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + movq 0x10+P2, %rax ; \ + mulq %rsi; \ + addq %rax, %r10 ; \ + adcq $0x0, %rdx ; \ + movq 0x18+P2, %rax ; \ + movq %rdx, %r11 ; \ + mulq %rsi; \ + xorl %esi, %esi ; \ + addq %rax, %r11 ; \ + adcq %rsi, %rdx ; \ + addq P3, %r8 ; \ + adcq 0x8+P3, %r9 ; \ + adcq 0x10+P3, %r10 ; \ + adcq 0x18+P3, %r11 ; \ + adcq %rsi, %rdx ; \ + shldq $0x1, %r11, %rdx ; \ + btr $63, %r11 ; \ + movl $0x13, %ebx ; \ + imulq %rbx, %rdx ; \ + addq %rdx, %r8 ; \ + adcq %rsi, %r9 ; \ + adcq %rsi, %r10 ; \ + adcq %rsi, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// Multiplex: z := if NZ then x else y + +#define mux_4(P0,P1,P2) \ + movq P1, %rax ; \ + movq P2, %rcx ; \ + cmovzq %rcx, %rax ; \ + movq %rax, P0 ; \ + movq 8+P1, %rax ; \ + movq 8+P2, %rcx ; \ + cmovzq %rcx, %rax ; \ + movq %rax, 8+P0 ; \ + movq 16+P1, %rax ; \ + movq 16+P2, %rcx ; \ + cmovzq %rcx, %rax ; \ + movq %rax, 16+P0 ; \ + movq 24+P1, %rax ; \ + movq 24+P2, %rcx ; \ + cmovzq %rcx, %rax ; \ + movq %rax, 24+P0 + +S2N_BN_SYMBOL(curve25519_x25519_alt): +S2N_BN_SYMBOL(curve25519_x25519_byte_alt): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx +#endif + +// Save registers, make room for temps, preserve input arguments. + + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(NSPACE) + +// Move the output pointer to a stable place + + movq %rdi, res + +// Copy the inputs to the local variables with minimal mangling: +// +// - The scalar is in principle turned into 01xxx...xxx000 but +// in the structure below the special handling of these bits is +// explicit in the main computation; the scalar is just copied. +// +// - The point x coord is reduced mod 2^255 by masking off the +// top bit. In the main loop we only need reduction < 2 * p_25519. + + movq (%rsi), %rax + movq %rax, (%rsp) + movq 8(%rsi), %rax + movq %rax, 8(%rsp) + movq 16(%rsi), %rax + movq %rax, 16(%rsp) + movq 24(%rsi), %rax + movq %rax, 24(%rsp) + + movq (%rdx), %r8 + movq 8(%rdx), %r9 + movq 16(%rdx), %r10 + movq 24(%rdx), %r11 + btr $63, %r11 + movq %r8, 32(%rsp) + movq %r9, 40(%rsp) + movq %r10, 48(%rsp) + movq %r11, 56(%rsp) + +// Initialize with explicit doubling in order to handle set bit 254. +// Set swap = 1 and (xm,zm) = (x,1) then double as (xn,zn) = 2 * (x,1). +// We use the fact that the point x coordinate is still in registers. +// Since zm = 1 we could do the doubling with an operation count of +// 2 * S + M instead of 2 * S + 2 * M, but it doesn't seem worth +// the slight complication arising from a different linear combination. + + movl $1, %eax + movq %rax, swap + movq %r8, 256(%rsp) + movq %rax, 96(%rsp) + xorl %eax, %eax + movq %r9, 264(%rsp) + movq %rax, 104(%rsp) + movq %r10, 272(%rsp) + movq %rax, 112(%rsp) + movq %r11, 280(%rsp) + movq %rax, 120(%rsp) + + sub_twice4(d,xm,zm) + add_twice4(s,xm,zm) + sqr_4(d,d) + sqr_4(s,s) + sub_twice4(p,s,d) + cmadd_4(e,0x1db42,p,d) + mul_4(xn,s,d) + mul_4(zn,p,e) + +// The main loop over unmodified bits from i = 253, ..., i = 3 (inclusive). +// This is a classic Montgomery ladder, with the main coordinates only +// reduced mod 2 * p_25519, some intermediate results even more loosely. + + movl $253, %eax + movq %rax, i + +Lcurve25519_x25519_alt_scalarloop: + +// sm = xm + zm; sn = xn + zn; dm = xm - zm; dn = xn - zn + + sub_twice4(dm,xm,zm) + add_twice4(sn,xn,zn) + sub_twice4(dn,xn,zn) + add_twice4(sm,xm,zm) + +// DOUBLING: mux d = xt - zt and s = xt + zt for appropriate choice of (xt,zt) + + movq i, %rdx + movq %rdx, %rcx + shrq $6, %rdx + movq (%rsp,%rdx,8), %rdx + shrq %cl, %rdx + andq $1, %rdx + cmpq swap, %rdx + movq %rdx, swap + mux_4(d,dm,dn) + mux_4(s,sm,sn) + +// ADDING: dmsn = dm * sn; dnsm = sm * dn + + mul_5(dnsm,sm,dn) + mul_5(dmsn,sn,dm) + +// DOUBLING: d = (xt - zt)^2 + + sqr_4(d,d) + +// ADDING: dpro = (dmsn - dnsm)^2, spro = (dmsn + dnsm)^2 +// DOUBLING: s = (xt + zt)^2 + + sub5_4(dpro,dmsn,dnsm) + add5_4(spro,dmsn,dnsm) + sqr_4(s,s) + sqr_4(dpro,dpro) + +// DOUBLING: p = 4 * xt * zt = s - d + + sub_twice4(p,s,d) + +// ADDING: xm' = (dmsn + dnsm)^2 + + sqr_4(xm,spro) + +// DOUBLING: e = 121666 * p + d + + cmadd_4(e,0x1db42,p,d) + +// DOUBLING: xn' = (xt + zt)^2 * (xt - zt)^2 = s * d + + mul_4(xn,s,d) + +// DOUBLING: zn' = (4 * xt * zt) * ((xt - zt)^2 + 121666 * (4 * xt * zt)) +// = p * (d + 121666 * p) + + mul_4(zn,p,e) + +// ADDING: zm' = x * (dmsn - dnsm)^2 + + mul_4(zm,dpro,pointx) + +// Loop down as far as 3 (inclusive) + + movq i, %rax + subq $1, %rax + movq %rax, i + cmpq $3, %rax + jnc Lcurve25519_x25519_alt_scalarloop + +// Multiplex directly into (xn,zn) then do three pure doubling steps; +// this accounts for the implicit zeroing of the three lowest bits +// of the scalar. + + movq swap, %rdx + testq %rdx, %rdx + mux_4(xn,xm,xn) + mux_4(zn,zm,zn) + + sub_twice4(d,xn,zn) + add_twice4(s,xn,zn) + sqr_4(d,d) + sqr_4(s,s) + sub_twice4(p,s,d) + cmadd_4(e,0x1db42,p,d) + mul_4(xn,s,d) + mul_4(zn,p,e) + + sub_twice4(d,xn,zn) + add_twice4(s,xn,zn) + sqr_4(d,d) + sqr_4(s,s) + sub_twice4(p,s,d) + cmadd_4(e,0x1db42,p,d) + mul_4(xn,s,d) + mul_4(zn,p,e) + + sub_twice4(d,xn,zn) + add_twice4(s,xn,zn) + sqr_4(d,d) + sqr_4(s,s) + sub_twice4(p,s,d) + cmadd_4(e,0x1db42,p,d) + mul_4(xn,s,d) + mul_4(zn,p,e) + +// The projective result of the scalar multiplication is now (xn,zn). +// Prepare to call the modular inverse function to get zn' = 1/zn + + leaq 224(%rsp), %rdi + leaq 224(%rsp), %rsi + +// Inline copy of bignum_inv_p25519, identical except for stripping out +// the prologue and epilogue saving and restoring registers and making +// and reclaiming room on the stack. For more details and explanations see +// "x86/curve25519/bignum_inv_p25519.S". Note that the stack it uses for +// its own temporaries is 208 bytes, so it has no effect on variables +// that are needed in the rest of our computation here: res, xn and zn. + + movq %rdi, 0xc0(%rsp) + xorl %eax, %eax + leaq -0x13(%rax), %rcx + notq %rax + movq %rcx, (%rsp) + movq %rax, 0x8(%rsp) + movq %rax, 0x10(%rsp) + btr $0x3f, %rax + movq %rax, 0x18(%rsp) + movq (%rsi), %rdx + movq 0x8(%rsi), %rcx + movq 0x10(%rsi), %r8 + movq 0x18(%rsi), %r9 + movl $0x1, %eax + xorl %r10d, %r10d + bts $0x3f, %r9 + adcq %r10, %rax + imulq $0x13, %rax, %rax + addq %rax, %rdx + adcq %r10, %rcx + adcq %r10, %r8 + adcq %r10, %r9 + movl $0x13, %eax + cmovbq %r10, %rax + subq %rax, %rdx + sbbq %r10, %rcx + sbbq %r10, %r8 + sbbq %r10, %r9 + btr $0x3f, %r9 + movq %rdx, 0x20(%rsp) + movq %rcx, 0x28(%rsp) + movq %r8, 0x30(%rsp) + movq %r9, 0x38(%rsp) + xorl %eax, %eax + movq %rax, 0x40(%rsp) + movq %rax, 0x48(%rsp) + movq %rax, 0x50(%rsp) + movq %rax, 0x58(%rsp) + movabsq $0xa0f99e2375022099, %rax + movq %rax, 0x60(%rsp) + movabsq $0xa8c68f3f1d132595, %rax + movq %rax, 0x68(%rsp) + movabsq $0x6c6c893805ac5242, %rax + movq %rax, 0x70(%rsp) + movabsq $0x276508b241770615, %rax + movq %rax, 0x78(%rsp) + movq $0xa, 0x90(%rsp) + movq $0x1, 0x98(%rsp) + jmp Lcurve25519_x25519_alt_midloop +Lcurve25519_x25519_alt_inverseloop: + movq %r8, %r9 + sarq $0x3f, %r9 + xorq %r9, %r8 + subq %r9, %r8 + movq %r10, %r11 + sarq $0x3f, %r11 + xorq %r11, %r10 + subq %r11, %r10 + movq %r12, %r13 + sarq $0x3f, %r13 + xorq %r13, %r12 + subq %r13, %r12 + movq %r14, %r15 + sarq $0x3f, %r15 + xorq %r15, %r14 + subq %r15, %r14 + movq %r8, %rax + andq %r9, %rax + movq %r10, %rdi + andq %r11, %rdi + addq %rax, %rdi + movq %rdi, 0x80(%rsp) + movq %r12, %rax + andq %r13, %rax + movq %r14, %rsi + andq %r15, %rsi + addq %rax, %rsi + movq %rsi, 0x88(%rsp) + xorl %ebx, %ebx + movq (%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rdi + adcq %rdx, %rbx + movq 0x20(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rdi + adcq %rdx, %rbx + xorl %ebp, %ebp + movq (%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x20(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + xorl %ecx, %ecx + movq 0x8(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x28(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + shrdq $0x3b, %rbx, %rdi + movq %rdi, (%rsp) + xorl %edi, %edi + movq 0x8(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rbp + adcq %rdx, %rdi + movq 0x28(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rdi + shrdq $0x3b, %rbp, %rsi + movq %rsi, 0x20(%rsp) + xorl %esi, %esi + movq 0x10(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rsi + movq 0x30(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rsi + shrdq $0x3b, %rcx, %rbx + movq %rbx, 0x8(%rsp) + xorl %ebx, %ebx + movq 0x10(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rdi + adcq %rdx, %rbx + movq 0x30(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rdi + adcq %rdx, %rbx + shrdq $0x3b, %rdi, %rbp + movq %rbp, 0x28(%rsp) + movq 0x18(%rsp), %rax + xorq %r9, %rax + movq %rax, %rbp + sarq $0x3f, %rbp + andq %r8, %rbp + negq %rbp + mulq %r8 + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x38(%rsp), %rax + xorq %r11, %rax + movq %rax, %rdx + sarq $0x3f, %rdx + andq %r10, %rdx + subq %rdx, %rbp + mulq %r10 + addq %rax, %rsi + adcq %rdx, %rbp + shrdq $0x3b, %rsi, %rcx + movq %rcx, 0x10(%rsp) + shrdq $0x3b, %rbp, %rsi + movq 0x18(%rsp), %rax + movq %rsi, 0x18(%rsp) + xorq %r13, %rax + movq %rax, %rsi + sarq $0x3f, %rsi + andq %r12, %rsi + negq %rsi + mulq %r12 + addq %rax, %rbx + adcq %rdx, %rsi + movq 0x38(%rsp), %rax + xorq %r15, %rax + movq %rax, %rdx + sarq $0x3f, %rdx + andq %r14, %rdx + subq %rdx, %rsi + mulq %r14 + addq %rax, %rbx + adcq %rdx, %rsi + shrdq $0x3b, %rbx, %rdi + movq %rdi, 0x30(%rsp) + shrdq $0x3b, %rsi, %rbx + movq %rbx, 0x38(%rsp) + movq 0x80(%rsp), %rbx + movq 0x88(%rsp), %rbp + xorl %ecx, %ecx + movq 0x40(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x60(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + xorl %esi, %esi + movq 0x40(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, 0x40(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq 0x60(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, 0x60(%rsp) + xorl %ebx, %ebx + movq 0x48(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq 0x68(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rbx + xorl %ebp, %ebp + movq 0x48(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rcx, 0x48(%rsp) + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x68(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + movq %rsi, 0x68(%rsp) + xorl %ecx, %ecx + movq 0x50(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x70(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + xorl %esi, %esi + movq 0x50(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, 0x50(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq 0x70(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, 0x70(%rsp) + movq 0x58(%rsp), %rax + xorq %r9, %rax + movq %r9, %rbx + andq %r8, %rbx + negq %rbx + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq 0x78(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %rbx + mulq %r10 + addq %rax, %rcx + adcq %rbx, %rdx + movq %rdx, %rbx + shldq $0x1, %rcx, %rdx + sarq $0x3f, %rbx + addq %rbx, %rdx + movl $0x13, %eax + imulq %rdx + movq 0x40(%rsp), %r8 + addq %rax, %r8 + movq %r8, 0x40(%rsp) + movq 0x48(%rsp), %r8 + adcq %rdx, %r8 + movq %r8, 0x48(%rsp) + movq 0x50(%rsp), %r8 + adcq %rbx, %r8 + movq %r8, 0x50(%rsp) + adcq %rbx, %rcx + shlq $0x3f, %rax + addq %rax, %rcx + movq 0x58(%rsp), %rax + movq %rcx, 0x58(%rsp) + xorq %r13, %rax + movq %r13, %rcx + andq %r12, %rcx + negq %rcx + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rcx + movq 0x78(%rsp), %rax + xorq %r15, %rax + movq %r15, %rdx + andq %r14, %rdx + subq %rdx, %rcx + mulq %r14 + addq %rax, %rsi + adcq %rcx, %rdx + movq %rdx, %rcx + shldq $0x1, %rsi, %rdx + sarq $0x3f, %rcx + movl $0x13, %eax + addq %rcx, %rdx + imulq %rdx + movq 0x60(%rsp), %r8 + addq %rax, %r8 + movq %r8, 0x60(%rsp) + movq 0x68(%rsp), %r8 + adcq %rdx, %r8 + movq %r8, 0x68(%rsp) + movq 0x70(%rsp), %r8 + adcq %rcx, %r8 + movq %r8, 0x70(%rsp) + adcq %rcx, %rsi + shlq $0x3f, %rax + addq %rax, %rsi + movq %rsi, 0x78(%rsp) +Lcurve25519_x25519_alt_midloop: + movq 0x98(%rsp), %rsi + movq (%rsp), %rdx + movq 0x20(%rsp), %rcx + movq %rdx, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq $0xfffffffffffffffe, %rax + xorl %ebp, %ebp + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %rdx + leaq (%rcx,%rax), %rdi + shlq $0x16, %rdx + shlq $0x16, %rdi + sarq $0x2b, %rdx + sarq $0x2b, %rdi + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %rbx + leaq (%rcx,%rax), %rcx + sarq $0x2a, %rbx + sarq $0x2a, %rcx + movq %rdx, 0xa0(%rsp) + movq %rbx, 0xa8(%rsp) + movq %rdi, 0xb0(%rsp) + movq %rcx, 0xb8(%rsp) + movq (%rsp), %r12 + imulq %r12, %rdi + imulq %rdx, %r12 + movq 0x20(%rsp), %r13 + imulq %r13, %rbx + imulq %rcx, %r13 + addq %rbx, %r12 + addq %rdi, %r13 + sarq $0x14, %r12 + sarq $0x14, %r13 + movq %r12, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + movq %r13, %rcx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq $0xfffffffffffffffe, %rax + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %r8 + leaq (%rcx,%rax), %r10 + shlq $0x16, %r8 + shlq $0x16, %r10 + sarq $0x2b, %r8 + sarq $0x2b, %r10 + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %r15 + leaq (%rcx,%rax), %r11 + sarq $0x2a, %r15 + sarq $0x2a, %r11 + movq %r13, %rbx + movq %r12, %rcx + imulq %r8, %r12 + imulq %r15, %rbx + addq %rbx, %r12 + imulq %r11, %r13 + imulq %r10, %rcx + addq %rcx, %r13 + sarq $0x14, %r12 + sarq $0x14, %r13 + movq %r12, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + movq %r13, %rcx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq 0xa0(%rsp), %rax + imulq %r8, %rax + movq 0xb0(%rsp), %rdx + imulq %r15, %rdx + imulq 0xa8(%rsp), %r8 + imulq 0xb8(%rsp), %r15 + addq %r8, %r15 + leaq (%rax,%rdx), %r9 + movq 0xa0(%rsp), %rax + imulq %r10, %rax + movq 0xb0(%rsp), %rdx + imulq %r11, %rdx + imulq 0xa8(%rsp), %r10 + imulq 0xb8(%rsp), %r11 + addq %r10, %r11 + leaq (%rax,%rdx), %r13 + movq $0xfffffffffffffffe, %rax + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %r8 + leaq (%rcx,%rax), %r12 + shlq $0x15, %r8 + shlq $0x15, %r12 + sarq $0x2b, %r8 + sarq $0x2b, %r12 + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %r10 + leaq (%rcx,%rax), %r14 + sarq $0x2b, %r10 + sarq $0x2b, %r14 + movq %r9, %rax + imulq %r8, %rax + movq %r13, %rdx + imulq %r10, %rdx + imulq %r15, %r8 + imulq %r11, %r10 + addq %r8, %r10 + leaq (%rax,%rdx), %r8 + movq %r9, %rax + imulq %r12, %rax + movq %r13, %rdx + imulq %r14, %rdx + imulq %r15, %r12 + imulq %r11, %r14 + addq %r12, %r14 + leaq (%rax,%rdx), %r12 + movq %rsi, 0x98(%rsp) + decq 0x90(%rsp) + jne Lcurve25519_x25519_alt_inverseloop + movq (%rsp), %rax + movq 0x20(%rsp), %rcx + imulq %r8, %rax + imulq %r10, %rcx + addq %rcx, %rax + sarq $0x3f, %rax + movq %r8, %r9 + sarq $0x3f, %r9 + xorq %r9, %r8 + subq %r9, %r8 + xorq %rax, %r9 + movq %r10, %r11 + sarq $0x3f, %r11 + xorq %r11, %r10 + subq %r11, %r10 + xorq %rax, %r11 + movq %r12, %r13 + sarq $0x3f, %r13 + xorq %r13, %r12 + subq %r13, %r12 + xorq %rax, %r13 + movq %r14, %r15 + sarq $0x3f, %r15 + xorq %r15, %r14 + subq %r15, %r14 + xorq %rax, %r15 + movq %r8, %rax + andq %r9, %rax + movq %r10, %r12 + andq %r11, %r12 + addq %rax, %r12 + xorl %r13d, %r13d + movq 0x40(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x60(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movq 0x48(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r13 + adcq %rdx, %r14 + movq 0x68(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq 0x50(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x70(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x58(%rsp), %rax + xorq %r9, %rax + andq %r8, %r9 + negq %r9 + mulq %r8 + addq %rax, %r15 + adcq %rdx, %r9 + movq 0x78(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %r9 + mulq %r10 + addq %rax, %r15 + adcq %rdx, %r9 + movq %r9, %rax + shldq $0x1, %r15, %rax + sarq $0x3f, %r9 + movl $0x13, %ebx + leaq 0x1(%rax,%r9,1), %rax + imulq %rbx + xorl %ebp, %ebp + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r9, %r14 + adcq %r9, %r15 + shlq $0x3f, %rax + addq %rax, %r15 + cmovns %rbp, %rbx + subq %rbx, %r12 + sbbq %rbp, %r13 + sbbq %rbp, %r14 + sbbq %rbp, %r15 + btr $0x3f, %r15 + movq 0xc0(%rsp), %rdi + movq %r12, (%rdi) + movq %r13, 0x8(%rdi) + movq %r14, 0x10(%rdi) + movq %r15, 0x18(%rdi) + +// Now the result is xn * (1/zn), fully reduced modulo p. +// Note that in the degenerate case zn = 0 (mod p_25519), the +// modular inverse code above will produce 1/zn = 0, giving +// the correct overall X25519 result of zero for the point at +// infinity. + + movq res, %rbp + mul_p25519(resx,xn,zn) + +// Restore stack and registers + + CFI_INC_RSP(NSPACE) + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(curve25519_x25519_alt) +S2N_BN_SIZE_DIRECTIVE(curve25519_x25519_byte_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/x86_att/curve25519_x25519base.S b/cbits/s2n/x86_att/curve25519_x25519base.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/curve25519_x25519base.S @@ -0,0 +1,9890 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// The x25519 function for curve25519 on base element 9 +// Input scalar[4]; output res[4] +// +// extern void curve25519_x25519base +// (uint64_t res[static 4], const uint64_t scalar[static 4]); +// +// The function has a second prototype considering the arguments as arrays +// of bytes rather than 64-bit words. The underlying code is the same, since +// the x86 platform is little-endian. +// +// extern void curve25519_x25519base_byte +// (uint8_t res[static 32],const uint8_t scalar[static 32]); +// +// Given a scalar n, returns the X coordinate of n * G where G = (9,...) is +// the standard generator. The scalar is first slightly modified/mangled +// as specified in the relevant RFC (https://www.rfc-editor.org/rfc/rfc7748). +// +// Standard x86-64 ABI: RDI = res, RSI = scalar +// Microsoft x64 ABI: RCX = res, RDX = scalar +// ---------------------------------------------------------------------------- +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(curve25519_x25519base) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(curve25519_x25519base) + S2N_BN_SYM_PRIVACY_DIRECTIVE(curve25519_x25519base) + S2N_BN_SYM_VISIBILITY_DIRECTIVE(curve25519_x25519base_byte) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(curve25519_x25519base_byte) + S2N_BN_SYM_PRIVACY_DIRECTIVE(curve25519_x25519base_byte) + + .text + .balign 32 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Pointer-offset pairs for result and temporaries on stack with some aliasing. +// The result "resx" assumes the "res" pointer has been preloaded into %rbp. + +#define resx (0*NUMSIZE)(%rbp) + +#define scalar (0*NUMSIZE)(%rsp) + +#define tabent (1*NUMSIZE)(%rsp) +#define ymx_2 (1*NUMSIZE)(%rsp) +#define xpy_2 (2*NUMSIZE)(%rsp) +#define kxy_2 (3*NUMSIZE)(%rsp) + +#define acc (4*NUMSIZE)(%rsp) +#define x_1 (4*NUMSIZE)(%rsp) +#define y_1 (5*NUMSIZE)(%rsp) +#define z_1 (6*NUMSIZE)(%rsp) +#define w_1 (7*NUMSIZE)(%rsp) +#define x_3 (4*NUMSIZE)(%rsp) +#define y_3 (5*NUMSIZE)(%rsp) +#define z_3 (6*NUMSIZE)(%rsp) +#define w_3 (7*NUMSIZE)(%rsp) + +#define tmpspace (8*NUMSIZE)(%rsp) +#define t0 (8*NUMSIZE)(%rsp) +#define t1 (9*NUMSIZE)(%rsp) +#define t2 (10*NUMSIZE)(%rsp) +#define t3 (11*NUMSIZE)(%rsp) +#define t4 (12*NUMSIZE)(%rsp) +#define t5 (13*NUMSIZE)(%rsp) + +// Stable homes for the input result pointer, and other variables + +#define res 14*NUMSIZE(%rsp) + +#define i 14*NUMSIZE+8(%rsp) + +#define bias 14*NUMSIZE+16(%rsp) + +#define bf 14*NUMSIZE+24(%rsp) +#define ix 14*NUMSIZE+24(%rsp) + +#define tab 15*NUMSIZE(%rsp) + +// Total size to reserve on the stack + +#define NSPACE 488 + +// Macro wrapping up the basic field multiplication, only trivially +// different from a pure function call to bignum_mul_p25519. + +#define mul_p25519(P0,P1,P2) \ + xorl %esi, %esi ; \ + movq P2, %rdx ; \ + mulxq P1, %r8, %r9 ; \ + mulxq 0x8+P1, %rax, %r10 ; \ + addq %rax, %r9 ; \ + mulxq 0x10+P1, %rax, %r11 ; \ + adcq %rax, %r10 ; \ + mulxq 0x18+P1, %rax, %r12 ; \ + adcq %rax, %r11 ; \ + adcq %rsi, %r12 ; \ + xorl %esi, %esi ; \ + movq 0x8+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x18+P1, %rax, %r13 ; \ + adcxq %rax, %r12 ; \ + adoxq %rsi, %r13 ; \ + adcxq %rsi, %r13 ; \ + xorl %esi, %esi ; \ + movq 0x10+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + mulxq 0x18+P1, %rax, %r14 ; \ + adcxq %rax, %r13 ; \ + adoxq %rsi, %r14 ; \ + adcxq %rsi, %r14 ; \ + xorl %esi, %esi ; \ + movq 0x18+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r13 ; \ + adoxq %rbx, %r14 ; \ + mulxq 0x18+P1, %rax, %r15 ; \ + adcxq %rax, %r14 ; \ + adoxq %rsi, %r15 ; \ + adcxq %rsi, %r15 ; \ + movl $0x26, %edx ; \ + xorl %esi, %esi ; \ + mulxq %r12, %rax, %rbx ; \ + adcxq %rax, %r8 ; \ + adoxq %rbx, %r9 ; \ + mulxq %r13, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq %r14, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq %r15, %rax, %r12 ; \ + adcxq %rax, %r11 ; \ + adoxq %rsi, %r12 ; \ + adcxq %rsi, %r12 ; \ + shldq $0x1, %r11, %r12 ; \ + movl $0x13, %edx ; \ + incq %r12; \ + bts $63, %r11 ; \ + mulxq %r12, %rax, %rbx ; \ + addq %rax, %r8 ; \ + adcq %rbx, %r9 ; \ + adcq %rsi, %r10 ; \ + adcq %rsi, %r11 ; \ + sbbq %rax, %rax ; \ + notq %rax; \ + andq %rdx, %rax ; \ + subq %rax, %r8 ; \ + sbbq %rsi, %r9 ; \ + sbbq %rsi, %r10 ; \ + sbbq %rsi, %r11 ; \ + btr $63, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// A version of multiplication that only guarantees output < 2 * p_25519. +// This basically skips the +1 and final correction in quotient estimation. + +#define mul_4(P0,P1,P2) \ + xorl %ecx, %ecx ; \ + movq P2, %rdx ; \ + mulxq P1, %r8, %r9 ; \ + mulxq 0x8+P1, %rax, %r10 ; \ + addq %rax, %r9 ; \ + mulxq 0x10+P1, %rax, %r11 ; \ + adcq %rax, %r10 ; \ + mulxq 0x18+P1, %rax, %r12 ; \ + adcq %rax, %r11 ; \ + adcq %rcx, %r12 ; \ + xorl %ecx, %ecx ; \ + movq 0x8+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x18+P1, %rax, %r13 ; \ + adcxq %rax, %r12 ; \ + adoxq %rcx, %r13 ; \ + adcxq %rcx, %r13 ; \ + xorl %ecx, %ecx ; \ + movq 0x10+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + mulxq 0x18+P1, %rax, %r14 ; \ + adcxq %rax, %r13 ; \ + adoxq %rcx, %r14 ; \ + adcxq %rcx, %r14 ; \ + xorl %ecx, %ecx ; \ + movq 0x18+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r13 ; \ + adoxq %rbx, %r14 ; \ + mulxq 0x18+P1, %rax, %r15 ; \ + adcxq %rax, %r14 ; \ + adoxq %rcx, %r15 ; \ + adcxq %rcx, %r15 ; \ + movl $0x26, %edx ; \ + xorl %ecx, %ecx ; \ + mulxq %r12, %rax, %rbx ; \ + adcxq %rax, %r8 ; \ + adoxq %rbx, %r9 ; \ + mulxq %r13, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq %r14, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq %r15, %rax, %r12 ; \ + adcxq %rax, %r11 ; \ + adoxq %rcx, %r12 ; \ + adcxq %rcx, %r12 ; \ + shldq $0x1, %r11, %r12 ; \ + btr $0x3f, %r11 ; \ + movl $0x13, %edx ; \ + imulq %r12, %rdx ; \ + addq %rdx, %r8 ; \ + adcq %rcx, %r9 ; \ + adcq %rcx, %r10 ; \ + adcq %rcx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// Modular subtraction with double modulus 2 * p_25519 = 2^256 - 38 + +#define sub_twice4(P0,P1,P2) \ + movq P1, %r8 ; \ + xorl %ebx, %ebx ; \ + subq P2, %r8 ; \ + movq 8+P1, %r9 ; \ + sbbq 8+P2, %r9 ; \ + movl $38, %ecx ; \ + movq 16+P1, %r10 ; \ + sbbq 16+P2, %r10 ; \ + movq 24+P1, %rax ; \ + sbbq 24+P2, %rax ; \ + cmovncq %rbx, %rcx ; \ + subq %rcx, %r8 ; \ + sbbq %rbx, %r9 ; \ + sbbq %rbx, %r10 ; \ + sbbq %rbx, %rax ; \ + movq %r8, P0 ; \ + movq %r9, 8+P0 ; \ + movq %r10, 16+P0 ; \ + movq %rax, 24+P0 + +// Modular addition and doubling with double modulus 2 * p_25519 = 2^256 - 38. +// This only ensures that the result fits in 4 digits, not that it is reduced +// even w.r.t. double modulus. The result is always correct modulo provided +// the sum of the inputs is < 2^256 + 2^256 - 38, so in particular provided +// at least one of them is reduced double modulo. + +#define add_twice4(P0,P1,P2) \ + movq P1, %r8 ; \ + xorl %ecx, %ecx ; \ + addq P2, %r8 ; \ + movq 0x8+P1, %r9 ; \ + adcq 0x8+P2, %r9 ; \ + movq 0x10+P1, %r10 ; \ + adcq 0x10+P2, %r10 ; \ + movq 0x18+P1, %r11 ; \ + adcq 0x18+P2, %r11 ; \ + movl $38, %eax ; \ + cmovncq %rcx, %rax ; \ + addq %rax, %r8 ; \ + adcq %rcx, %r9 ; \ + adcq %rcx, %r10 ; \ + adcq %rcx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +#define double_twice4(P0,P1) \ + movq P1, %r8 ; \ + xorl %ecx, %ecx ; \ + addq %r8, %r8 ; \ + movq 0x8+P1, %r9 ; \ + adcq %r9, %r9 ; \ + movq 0x10+P1, %r10 ; \ + adcq %r10, %r10 ; \ + movq 0x18+P1, %r11 ; \ + adcq %r11, %r11 ; \ + movl $38, %eax ; \ + cmovncq %rcx, %rax ; \ + addq %rax, %r8 ; \ + adcq %rcx, %r9 ; \ + adcq %rcx, %r10 ; \ + adcq %rcx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +S2N_BN_SYMBOL(curve25519_x25519base): +S2N_BN_SYMBOL(curve25519_x25519base_byte): + CFI_START + _CET_ENDBR + +// In this case the Windows form literally makes a subroutine call. +// This avoids hassle arising from keeping code and data together. + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + CFI_CALL(Lcurve25519_x25519base_standard) + CFI_POP(%rsi) + CFI_POP(%rdi) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(curve25519_x25519base) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lcurve25519_x25519base_standard) + +Lcurve25519_x25519base_standard: + CFI_START +#endif + +// Save registers, make room for temps, preserve input arguments. + + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(NSPACE) + +// Move the output pointer to a stable place + + movq %rdi, res + +// Copy the input scalar to its local variable while mangling it. +// In principle the mangling is into 01xxx...xxx000, but actually +// we only clear the top two bits so 00xxx...xxxxxx. The additional +// 2^254 * G is taken care of by the starting value for the addition +// chain below, while we never look at the three low bits at all. + + movq (%rsi), %rax + movq %rax, (%rsp) + movq 8(%rsi), %rax + movq %rax, 8(%rsp) + movq 16(%rsi), %rax + movq %rax, 16(%rsp) + movq $0x3fffffffffffffff, %rax + andq 24(%rsi), %rax + movq %rax, 24(%rsp) + +// The main part of the computation is on the edwards25519 curve in +// extended-projective coordinates (X,Y,Z,T), representing a point +// (x,y) via x = X/Z, y = Y/Z and x * y = T/Z (so X * Y = T * Z). +// Only at the very end do we translate back to curve25519. So G +// below means the generator within edwards25519 corresponding to +// (9,...) for curve25519, via the standard isomorphism. +// +// Initialize accumulator "acc" to either (2^254 + 8) * G or just 2^254 * G +// depending on bit 3 of the scalar, the only nonzero bit of the bottom 4. +// Thus, we have effectively dealt with bits 0, 1, 2, 3, 254 and 255. + + movq (%rsp), %rax + andq $8, %rax + + leaq S2N_BN_SYMBOL(curve25519_x25519base_constant)(%rip), %r10 + leaq 8*12(%r10), %r11 + + movq (%r10), %rax + movq (%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*16(%rsp) + + movq 8*1(%r10), %rax + movq 8*1(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*17(%rsp) + + movq 8*2(%r10), %rax + movq 8*2(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*18(%rsp) + + movq 8*3(%r10), %rax + movq 8*3(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*19(%rsp) + + movq 8*4(%r10), %rax + movq 8*4(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*20(%rsp) + + movq 8*5(%r10), %rax + movq 8*5(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*21(%rsp) + + movq 8*6(%r10), %rax + movq 8*6(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*22(%rsp) + + movq 8*7(%r10), %rax + movq 8*7(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*23(%rsp) + + movl $1, %eax + movq %rax, 8*24(%rsp) + movl $0, %eax + movq %rax, 8*25(%rsp) + movq %rax, 8*26(%rsp) + movq %rax, 8*27(%rsp) + + movq 8*8(%r10), %rax + movq 8*8(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*28(%rsp) + + movq 8*9(%r10), %rax + movq 8*9(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*29(%rsp) + + movq 8*10(%r10), %rax + movq 8*10(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*30(%rsp) + + movq 8*11(%r10), %rax + movq 8*11(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*31(%rsp) + +// The counter "i" tracks the bit position for which the scalar has +// already been absorbed, starting at 4 and going up in chunks of 4. +// +// The pointer "tab" points at the current block of the table for +// multiples (2^i * j) * G at the current bit position i; 1 <= j <= 8. +// +// The bias is always either 0 and 1 and needs to be added to the +// partially processed scalar implicitly. This is used to absorb 4 bits +// of scalar per iteration from 3-bit table indexing by exploiting +// negation: (16 * h + l) * G = (16 * (h + 1) - (16 - l)) * G is used +// when l >= 9. Note that we can't have any bias left over at the +// end because of the clearing of bit 255 of the scalar, meaning the +// l >= 9 case cannot arise on the last iteration. + + movq $4, i + leaq 8*24(%r10), %rax + movq %rax, tab + movq $0, bias + +// Start of the main loop, repeated 63 times for i = 4, 8, ..., 252 + +Lcurve25519_x25519base_scalarloop: + +// Look at the next 4-bit field "bf", adding the previous bias as well. +// Choose the table index "ix" as bf when bf <= 8 and 16 - bf for bf >= 9, +// setting the bias to 1 for the next iteration in the latter case. + + movq i, %rax + movq %rax, %rcx + shrq $6, %rax + movq (%rsp,%rax,8), %rax // Exploiting scalar = sp exactly + shrq %cl, %rax + andq $15, %rax + addq bias, %rax + movq %rax, bf + + cmpq $9, bf + sbbq %rax, %rax + incq %rax + movq %rax, bias + + movq $16, %rdi + subq bf, %rdi + cmpq $0, bias + cmovzq bf, %rdi + movq %rdi, ix + +// Perform constant-time lookup in the table to get element number "ix". +// The table entry for the affine point (x,y) is actually a triple +// (y - x,x + y,2 * d * x * y) to precompute parts of the addition. +// Note that "ix" can be 0, so we set up the appropriate identity first. + + movl $1, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + movl $1, %r8d + xorl %r9d, %r9d + xorl %r10d, %r10d + xorl %r11d, %r11d + xorl %r12d, %r12d + xorl %r13d, %r13d + xorl %r14d, %r14d + xorl %r15d, %r15d + + movq tab, %rbp + + cmpq $1, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $2, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $3, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $4, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $5, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $6, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $7, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $8, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + + addq $96, %rbp + movq %rbp, tab + +// We now have the triple from the table in registers as follows +// +// [%rdx;%rcx;%rbx;%rax] = y - x +// [%r11;%r10;%r9;%r8] = x + y +// [%r15;%r14;%r13;%r12] = 2 * d * x * y +// +// In case bias = 1 we need to negate this. For Edwards curves +// -(x,y) = (-x,y), i.e. we need to negate the x coordinate. +// In this processed encoding, that amounts to swapping the +// first two fields and negating the third. +// +// The optional negation here also pretends bias = 0 whenever +// ix = 0 so that it doesn't need to handle the case of zero +// inputs, since no non-trivial table entries are zero. Note +// that in the zero case the whole negation is trivial, and +// so indeed is the swapping. + + cmpq $0, bias + + movq %rax, %rsi + cmovnzq %r8, %rsi + cmovnzq %rax, %r8 + movq %rsi, 32(%rsp) + movq %r8, 64(%rsp) + + movq %rbx, %rsi + cmovnzq %r9, %rsi + cmovnzq %rbx, %r9 + movq %rsi, 40(%rsp) + movq %r9, 72(%rsp) + + movq %rcx, %rsi + cmovnzq %r10, %rsi + cmovnzq %rcx, %r10 + movq %rsi, 48(%rsp) + movq %r10, 80(%rsp) + + movq %rdx, %rsi + cmovnzq %r11, %rsi + cmovnzq %rdx, %r11 + movq %rsi, 56(%rsp) + movq %r11, 88(%rsp) + + movq $-19, %rax + movq $-1, %rbx + movq $-1, %rcx + movq $0x7fffffffffffffff, %rdx + subq %r12, %rax + sbbq %r13, %rbx + sbbq %r14, %rcx + sbbq %r15, %rdx + + movq ix, %r8 + movq bias, %r9 + testq %r8, %r8 + cmovzq %r8, %r9 + testq %r9, %r9 + + cmovzq %r12, %rax + cmovzq %r13, %rbx + cmovzq %r14, %rcx + cmovzq %r15, %rdx + movq %rax, 96(%rsp) + movq %rbx, 104(%rsp) + movq %rcx, 112(%rsp) + movq %rdx, 120(%rsp) + +// Extended-projective and precomputed mixed addition. +// This is effectively the same as calling the standalone +// function edwards25519_pepadd(acc,acc,tabent), but we +// only retain slightly weaker normalization < 2 * p_25519 +// throughout the inner loop, so the computation is +// slightly different, and faster overall. + + double_twice4(t0,z_1) + sub_twice4(t1,y_1,x_1) + add_twice4(t2,y_1,x_1) + mul_4(t3,w_1,kxy_2) + mul_4(t1,t1,ymx_2) + mul_4(t2,t2,xpy_2) + sub_twice4(t4,t0,t3) + add_twice4(t0,t0,t3) + sub_twice4(t5,t2,t1) + add_twice4(t1,t2,t1) + mul_4(z_3,t4,t0) + mul_4(x_3,t5,t4) + mul_4(y_3,t0,t1) + mul_4(w_3,t5,t1) + +// End of the main loop; move on by 4 bits. + + addq $4, i + cmpq $256, i + jc Lcurve25519_x25519base_scalarloop + +// Now we need to translate from Edwards curve edwards25519 back +// to the Montgomery form curve25519. The mapping in the affine +// representations is +// +// (x,y) |-> ((1 + y) / (1 - y), c * (1 + y) / ((1 - y) * x)) +// +// For x25519, we only need the x coordinate, and we compute this as +// +// (1 + y) / (1 - y) = (x + x * y) / (x - x * y) +// = (X/Z + T/Z) / (X/Z - T/Z) +// = (X + T) / (X - T) +// = (X + T) * inverse(X - T) +// +// We could equally well use (Z + Y) / (Z - Y), but the above has the +// same cost, and it more explicitly forces zero output whenever X = 0, +// regardless of how the modular inverse behaves on zero inputs. In +// the present setting (base point 9, mangled scalar) that doesn't +// really matter anyway since X = 0 never arises, but it seems a +// little bit tidier. Note that both Edwards point (0,1) which maps to +// the Montgomery point at infinity, and Edwards (0,-1) which maps to +// Montgomery (0,0) [this is the 2-torsion point] are both by definition +// mapped to 0 by the X coordinate mapping used to define curve25519. +// +// First the addition and subtraction: + + add_twice4(t1,x_3,w_3) + sub_twice4(t2,x_3,w_3) + +// Prepare to call the modular inverse function to get t0 = 1/t2 +// Note that this works for the weakly normalized z_3 equally well. +// The non-coprime case z_3 == 0 (mod p_25519) cannot arise anyway. + + leaq 256(%rsp), %rdi + leaq 320(%rsp), %rsi + +// Inline copy of bignum_inv_p25519, identical except for stripping out +// the prologue and epilogue saving and restoring registers and making +// and reclaiming room on the stack. For more details and explanations see +// "x86/curve25519/bignum_inv_p25519.S". Note that the stack it uses for +// its own temporaries is 208 bytes, so it has no effect on variables +// that are needed in the rest of our computation here: res, t0, t1, t2. + + movq %rdi, 0xc0(%rsp) + xorl %eax, %eax + leaq -0x13(%rax), %rcx + notq %rax + movq %rcx, (%rsp) + movq %rax, 0x8(%rsp) + movq %rax, 0x10(%rsp) + btr $0x3f, %rax + movq %rax, 0x18(%rsp) + movq (%rsi), %rdx + movq 0x8(%rsi), %rcx + movq 0x10(%rsi), %r8 + movq 0x18(%rsi), %r9 + movl $0x1, %eax + xorl %r10d, %r10d + bts $0x3f, %r9 + adcq %r10, %rax + imulq $0x13, %rax, %rax + addq %rax, %rdx + adcq %r10, %rcx + adcq %r10, %r8 + adcq %r10, %r9 + movl $0x13, %eax + cmovbq %r10, %rax + subq %rax, %rdx + sbbq %r10, %rcx + sbbq %r10, %r8 + sbbq %r10, %r9 + btr $0x3f, %r9 + movq %rdx, 0x20(%rsp) + movq %rcx, 0x28(%rsp) + movq %r8, 0x30(%rsp) + movq %r9, 0x38(%rsp) + xorl %eax, %eax + movq %rax, 0x40(%rsp) + movq %rax, 0x48(%rsp) + movq %rax, 0x50(%rsp) + movq %rax, 0x58(%rsp) + movabsq $0xa0f99e2375022099, %rax + movq %rax, 0x60(%rsp) + movabsq $0xa8c68f3f1d132595, %rax + movq %rax, 0x68(%rsp) + movabsq $0x6c6c893805ac5242, %rax + movq %rax, 0x70(%rsp) + movabsq $0x276508b241770615, %rax + movq %rax, 0x78(%rsp) + movq $0xa, 0x90(%rsp) + movq $0x1, 0x98(%rsp) + jmp Lcurve25519_x25519base_midloop +Lcurve25519_x25519base_inverseloop: + movq %r8, %r9 + sarq $0x3f, %r9 + xorq %r9, %r8 + subq %r9, %r8 + movq %r10, %r11 + sarq $0x3f, %r11 + xorq %r11, %r10 + subq %r11, %r10 + movq %r12, %r13 + sarq $0x3f, %r13 + xorq %r13, %r12 + subq %r13, %r12 + movq %r14, %r15 + sarq $0x3f, %r15 + xorq %r15, %r14 + subq %r15, %r14 + movq %r8, %rax + andq %r9, %rax + movq %r10, %rdi + andq %r11, %rdi + addq %rax, %rdi + movq %rdi, 0x80(%rsp) + movq %r12, %rax + andq %r13, %rax + movq %r14, %rsi + andq %r15, %rsi + addq %rax, %rsi + movq %rsi, 0x88(%rsp) + xorl %ebx, %ebx + movq (%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rdi + adcq %rdx, %rbx + movq 0x20(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rdi + adcq %rdx, %rbx + xorl %ebp, %ebp + movq (%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x20(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + xorl %ecx, %ecx + movq 0x8(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x28(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + shrdq $0x3b, %rbx, %rdi + movq %rdi, (%rsp) + xorl %edi, %edi + movq 0x8(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rbp + adcq %rdx, %rdi + movq 0x28(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rdi + shrdq $0x3b, %rbp, %rsi + movq %rsi, 0x20(%rsp) + xorl %esi, %esi + movq 0x10(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rsi + movq 0x30(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rsi + shrdq $0x3b, %rcx, %rbx + movq %rbx, 0x8(%rsp) + xorl %ebx, %ebx + movq 0x10(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rdi + adcq %rdx, %rbx + movq 0x30(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rdi + adcq %rdx, %rbx + shrdq $0x3b, %rdi, %rbp + movq %rbp, 0x28(%rsp) + movq 0x18(%rsp), %rax + xorq %r9, %rax + movq %rax, %rbp + sarq $0x3f, %rbp + andq %r8, %rbp + negq %rbp + mulq %r8 + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x38(%rsp), %rax + xorq %r11, %rax + movq %rax, %rdx + sarq $0x3f, %rdx + andq %r10, %rdx + subq %rdx, %rbp + mulq %r10 + addq %rax, %rsi + adcq %rdx, %rbp + shrdq $0x3b, %rsi, %rcx + movq %rcx, 0x10(%rsp) + shrdq $0x3b, %rbp, %rsi + movq 0x18(%rsp), %rax + movq %rsi, 0x18(%rsp) + xorq %r13, %rax + movq %rax, %rsi + sarq $0x3f, %rsi + andq %r12, %rsi + negq %rsi + mulq %r12 + addq %rax, %rbx + adcq %rdx, %rsi + movq 0x38(%rsp), %rax + xorq %r15, %rax + movq %rax, %rdx + sarq $0x3f, %rdx + andq %r14, %rdx + subq %rdx, %rsi + mulq %r14 + addq %rax, %rbx + adcq %rdx, %rsi + shrdq $0x3b, %rbx, %rdi + movq %rdi, 0x30(%rsp) + shrdq $0x3b, %rsi, %rbx + movq %rbx, 0x38(%rsp) + movq 0x80(%rsp), %rbx + movq 0x88(%rsp), %rbp + xorl %ecx, %ecx + movq 0x40(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x60(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + xorl %esi, %esi + movq 0x40(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, 0x40(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq 0x60(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, 0x60(%rsp) + xorl %ebx, %ebx + movq 0x48(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq 0x68(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rbx + xorl %ebp, %ebp + movq 0x48(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rcx, 0x48(%rsp) + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x68(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + movq %rsi, 0x68(%rsp) + xorl %ecx, %ecx + movq 0x50(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x70(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + xorl %esi, %esi + movq 0x50(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, 0x50(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq 0x70(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, 0x70(%rsp) + movq 0x58(%rsp), %rax + xorq %r9, %rax + movq %r9, %rbx + andq %r8, %rbx + negq %rbx + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq 0x78(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %rbx + mulq %r10 + addq %rax, %rcx + adcq %rbx, %rdx + movq %rdx, %rbx + shldq $0x1, %rcx, %rdx + sarq $0x3f, %rbx + addq %rbx, %rdx + movl $0x13, %eax + imulq %rdx + movq 0x40(%rsp), %r8 + addq %rax, %r8 + movq %r8, 0x40(%rsp) + movq 0x48(%rsp), %r8 + adcq %rdx, %r8 + movq %r8, 0x48(%rsp) + movq 0x50(%rsp), %r8 + adcq %rbx, %r8 + movq %r8, 0x50(%rsp) + adcq %rbx, %rcx + shlq $0x3f, %rax + addq %rax, %rcx + movq 0x58(%rsp), %rax + movq %rcx, 0x58(%rsp) + xorq %r13, %rax + movq %r13, %rcx + andq %r12, %rcx + negq %rcx + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rcx + movq 0x78(%rsp), %rax + xorq %r15, %rax + movq %r15, %rdx + andq %r14, %rdx + subq %rdx, %rcx + mulq %r14 + addq %rax, %rsi + adcq %rcx, %rdx + movq %rdx, %rcx + shldq $0x1, %rsi, %rdx + sarq $0x3f, %rcx + movl $0x13, %eax + addq %rcx, %rdx + imulq %rdx + movq 0x60(%rsp), %r8 + addq %rax, %r8 + movq %r8, 0x60(%rsp) + movq 0x68(%rsp), %r8 + adcq %rdx, %r8 + movq %r8, 0x68(%rsp) + movq 0x70(%rsp), %r8 + adcq %rcx, %r8 + movq %r8, 0x70(%rsp) + adcq %rcx, %rsi + shlq $0x3f, %rax + addq %rax, %rsi + movq %rsi, 0x78(%rsp) +Lcurve25519_x25519base_midloop: + movq 0x98(%rsp), %rsi + movq (%rsp), %rdx + movq 0x20(%rsp), %rcx + movq %rdx, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq $0xfffffffffffffffe, %rax + xorl %ebp, %ebp + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %rdx + leaq (%rcx,%rax), %rdi + shlq $0x16, %rdx + shlq $0x16, %rdi + sarq $0x2b, %rdx + sarq $0x2b, %rdi + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %rbx + leaq (%rcx,%rax), %rcx + sarq $0x2a, %rbx + sarq $0x2a, %rcx + movq %rdx, 0xa0(%rsp) + movq %rbx, 0xa8(%rsp) + movq %rdi, 0xb0(%rsp) + movq %rcx, 0xb8(%rsp) + movq (%rsp), %r12 + imulq %r12, %rdi + imulq %rdx, %r12 + movq 0x20(%rsp), %r13 + imulq %r13, %rbx + imulq %rcx, %r13 + addq %rbx, %r12 + addq %rdi, %r13 + sarq $0x14, %r12 + sarq $0x14, %r13 + movq %r12, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + movq %r13, %rcx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq $0xfffffffffffffffe, %rax + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %r8 + leaq (%rcx,%rax), %r10 + shlq $0x16, %r8 + shlq $0x16, %r10 + sarq $0x2b, %r8 + sarq $0x2b, %r10 + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %r15 + leaq (%rcx,%rax), %r11 + sarq $0x2a, %r15 + sarq $0x2a, %r11 + movq %r13, %rbx + movq %r12, %rcx + imulq %r8, %r12 + imulq %r15, %rbx + addq %rbx, %r12 + imulq %r11, %r13 + imulq %r10, %rcx + addq %rcx, %r13 + sarq $0x14, %r12 + sarq $0x14, %r13 + movq %r12, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + movq %r13, %rcx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq 0xa0(%rsp), %rax + imulq %r8, %rax + movq 0xb0(%rsp), %rdx + imulq %r15, %rdx + imulq 0xa8(%rsp), %r8 + imulq 0xb8(%rsp), %r15 + addq %r8, %r15 + leaq (%rax,%rdx), %r9 + movq 0xa0(%rsp), %rax + imulq %r10, %rax + movq 0xb0(%rsp), %rdx + imulq %r11, %rdx + imulq 0xa8(%rsp), %r10 + imulq 0xb8(%rsp), %r11 + addq %r10, %r11 + leaq (%rax,%rdx), %r13 + movq $0xfffffffffffffffe, %rax + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %r8 + leaq (%rcx,%rax), %r12 + shlq $0x15, %r8 + shlq $0x15, %r12 + sarq $0x2b, %r8 + sarq $0x2b, %r12 + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %r10 + leaq (%rcx,%rax), %r14 + sarq $0x2b, %r10 + sarq $0x2b, %r14 + movq %r9, %rax + imulq %r8, %rax + movq %r13, %rdx + imulq %r10, %rdx + imulq %r15, %r8 + imulq %r11, %r10 + addq %r8, %r10 + leaq (%rax,%rdx), %r8 + movq %r9, %rax + imulq %r12, %rax + movq %r13, %rdx + imulq %r14, %rdx + imulq %r15, %r12 + imulq %r11, %r14 + addq %r12, %r14 + leaq (%rax,%rdx), %r12 + movq %rsi, 0x98(%rsp) + decq 0x90(%rsp) + jne Lcurve25519_x25519base_inverseloop + movq (%rsp), %rax + movq 0x20(%rsp), %rcx + imulq %r8, %rax + imulq %r10, %rcx + addq %rcx, %rax + sarq $0x3f, %rax + movq %r8, %r9 + sarq $0x3f, %r9 + xorq %r9, %r8 + subq %r9, %r8 + xorq %rax, %r9 + movq %r10, %r11 + sarq $0x3f, %r11 + xorq %r11, %r10 + subq %r11, %r10 + xorq %rax, %r11 + movq %r12, %r13 + sarq $0x3f, %r13 + xorq %r13, %r12 + subq %r13, %r12 + xorq %rax, %r13 + movq %r14, %r15 + sarq $0x3f, %r15 + xorq %r15, %r14 + subq %r15, %r14 + xorq %rax, %r15 + movq %r8, %rax + andq %r9, %rax + movq %r10, %r12 + andq %r11, %r12 + addq %rax, %r12 + xorl %r13d, %r13d + movq 0x40(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x60(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movq 0x48(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r13 + adcq %rdx, %r14 + movq 0x68(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq 0x50(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x70(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x58(%rsp), %rax + xorq %r9, %rax + andq %r8, %r9 + negq %r9 + mulq %r8 + addq %rax, %r15 + adcq %rdx, %r9 + movq 0x78(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %r9 + mulq %r10 + addq %rax, %r15 + adcq %rdx, %r9 + movq %r9, %rax + shldq $0x1, %r15, %rax + sarq $0x3f, %r9 + movl $0x13, %ebx + leaq 0x1(%rax,%r9,1), %rax + imulq %rbx + xorl %ebp, %ebp + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r9, %r14 + adcq %r9, %r15 + shlq $0x3f, %rax + addq %rax, %r15 + cmovns %rbp, %rbx + subq %rbx, %r12 + sbbq %rbp, %r13 + sbbq %rbp, %r14 + sbbq %rbp, %r15 + btr $0x3f, %r15 + movq 0xc0(%rsp), %rdi + movq %r12, (%rdi) + movq %r13, 0x8(%rdi) + movq %r14, 0x10(%rdi) + movq %r15, 0x18(%rdi) + +// The final result is (X + T) / (X - T) +// This is the only operation in the whole computation that +// fully reduces modulo p_25519 since now we want the canonical +// answer as output. + + movq res, %rbp + mul_p25519(resx,t1,t0) + +// Restore stack and registers + + CFI_INC_RSP(NSPACE) + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +#if WINDOWS_ABI +S2N_BN_SIZE_DIRECTIVE(Lcurve25519_x25519base_standard) +#else +S2N_BN_SIZE_DIRECTIVE(curve25519_x25519base) +#endif + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif + +// **************************************************************************** +// The precomputed data (all read-only). +// **************************************************************************** + +#if defined(__ELF__) +.section .rodata +.type S2N_BN_SYMBOL(curve25519_x25519base_constant), %object +.size S2N_BN_SYMBOL(curve25519_x25519base_constant), 48576 +#elif defined(__APPLE__) +.const_data +#endif + +S2N_BN_SYMBOL(curve25519_x25519base_constant): + +// 2^254 * G and (2^254 + 8) * G in extended-projective coordinates +// but with z = 1 assumed and hence left out, so they are (X,Y,T) only. + + .quad 0x251037f7cf4e861d + .quad 0x10ede0fb19fb128f + .quad 0x96c033b175f5e2c8 + .quad 0x055f070d6c15fb0d + + .quad 0x7c52af2c97473e69 + .quad 0x022f82391bad8378 + .quad 0x9991e1b02adb476f + .quad 0x511144a03a99b855 + + .quad 0x5fafc3b88ff2e4ae + .quad 0x855e4ff0de1230ff + .quad 0x72e302a348492870 + .quad 0x1253c19e53dbe1bc + + + .quad 0x331d086e0d9abcaa + .quad 0x1e23c96d311a10c9 + .quad 0x96d0f95e58c13478 + .quad 0x2f72f7384fcfcc59 + + .quad 0x39a6cd1cfd7d87c9 + .quad 0x9867a0abd8ae153a + .quad 0xa49d2a5f35986745 + .quad 0x57012940cdfe82e1 + + .quad 0x5046a6532ec5544a + .quad 0x6d674004739ff6c9 + .quad 0x9bbaa44b234a70e3 + .quad 0x5e6d8901138cf386 + +// Precomputed table of multiples of generator for edwards25519 +// all in precomputed extended-projective (y-x,x+y,2*d*x*y) triples. + + // 2^4 * 1 * G + + .quad 0x7ec851ca553e2df3 + .quad 0xa71284cba64878b3 + .quad 0xe6b5e4193288d1e7 + .quad 0x4cf210ec5a9a8883 + .quad 0x322d04a52d9021f6 + .quad 0xb9c19f3375c6bf9c + .quad 0x587a3a4342d20b09 + .quad 0x143b1cf8aa64fe61 + .quad 0x9f867c7d968acaab + .quad 0x5f54258e27092729 + .quad 0xd0a7d34bea180975 + .quad 0x21b546a3374126e1 + + // 2^4 * 2 * G + + .quad 0xa94ff858a2888343 + .quad 0xce0ed4565313ed3c + .quad 0xf55c3dcfb5bf34fa + .quad 0x0a653ca5c9eab371 + .quad 0x490a7a45d185218f + .quad 0x9a15377846049335 + .quad 0x0060ea09cc31e1f6 + .quad 0x7e041577f86ee965 + .quad 0x66b2a496ce5b67f3 + .quad 0xff5492d8bd569796 + .quad 0x503cec294a592cd0 + .quad 0x566943650813acb2 + + // 2^4 * 3 * G + + .quad 0xb818db0c26620798 + .quad 0x5d5c31d9606e354a + .quad 0x0982fa4f00a8cdc7 + .quad 0x17e12bcd4653e2d4 + .quad 0x5672f9eb1dabb69d + .quad 0xba70b535afe853fc + .quad 0x47ac0f752796d66d + .quad 0x32a5351794117275 + .quad 0xd3a644a6df648437 + .quad 0x703b6559880fbfdd + .quad 0xcb852540ad3a1aa5 + .quad 0x0900b3f78e4c6468 + + // 2^4 * 4 * G + + .quad 0x0a851b9f679d651b + .quad 0xe108cb61033342f2 + .quad 0xd601f57fe88b30a3 + .quad 0x371f3acaed2dd714 + .quad 0xed280fbec816ad31 + .quad 0x52d9595bd8e6efe3 + .quad 0x0fe71772f6c623f5 + .quad 0x4314030b051e293c + .quad 0xd560005efbf0bcad + .quad 0x8eb70f2ed1870c5e + .quad 0x201f9033d084e6a0 + .quad 0x4c3a5ae1ce7b6670 + + // 2^4 * 5 * G + + .quad 0x4138a434dcb8fa95 + .quad 0x870cf67d6c96840b + .quad 0xde388574297be82c + .quad 0x7c814db27262a55a + .quad 0xbaf875e4c93da0dd + .quad 0xb93282a771b9294d + .quad 0x80d63fb7f4c6c460 + .quad 0x6de9c73dea66c181 + .quad 0x478904d5a04df8f2 + .quad 0xfafbae4ab10142d3 + .quad 0xf6c8ac63555d0998 + .quad 0x5aac4a412f90b104 + + // 2^4 * 6 * G + + .quad 0xc64f326b3ac92908 + .quad 0x5551b282e663e1e0 + .quad 0x476b35f54a1a4b83 + .quad 0x1b9da3fe189f68c2 + .quad 0x603a0d0abd7f5134 + .quad 0x8089c932e1d3ae46 + .quad 0xdf2591398798bd63 + .quad 0x1c145cd274ba0235 + .quad 0x32e8386475f3d743 + .quad 0x365b8baf6ae5d9ef + .quad 0x825238b6385b681e + .quad 0x234929c1167d65e1 + + // 2^4 * 7 * G + + .quad 0x984decaba077ade8 + .quad 0x383f77ad19eb389d + .quad 0xc7ec6b7e2954d794 + .quad 0x59c77b3aeb7c3a7a + .quad 0x48145cc21d099fcf + .quad 0x4535c192cc28d7e5 + .quad 0x80e7c1e548247e01 + .quad 0x4a5f28743b2973ee + .quad 0xd3add725225ccf62 + .quad 0x911a3381b2152c5d + .quad 0xd8b39fad5b08f87d + .quad 0x6f05606b4799fe3b + + // 2^4 * 8 * G + + .quad 0x9ffe9e92177ba962 + .quad 0x98aee71d0de5cae1 + .quad 0x3ff4ae942d831044 + .quad 0x714de12e58533ac8 + .quad 0x5b433149f91b6483 + .quad 0xadb5dc655a2cbf62 + .quad 0x87fa8412632827b3 + .quad 0x60895e91ab49f8d8 + .quad 0xe9ecf2ed0cf86c18 + .quad 0xb46d06120735dfd4 + .quad 0xbc9da09804b96be7 + .quad 0x73e2e62fd96dc26b + + // 2^8 * 1 * G + + .quad 0xed5b635449aa515e + .quad 0xa865c49f0bc6823a + .quad 0x850c1fe95b42d1c4 + .quad 0x30d76d6f03d315b9 + .quad 0x2eccdd0e632f9c1d + .quad 0x51d0b69676893115 + .quad 0x52dfb76ba8637a58 + .quad 0x6dd37d49a00eef39 + .quad 0x6c4444172106e4c7 + .quad 0xfb53d680928d7f69 + .quad 0xb4739ea4694d3f26 + .quad 0x10c697112e864bb0 + + // 2^8 * 2 * G + + .quad 0x6493c4277dbe5fde + .quad 0x265d4fad19ad7ea2 + .quad 0x0e00dfc846304590 + .quad 0x25e61cabed66fe09 + .quad 0x0ca62aa08358c805 + .quad 0x6a3d4ae37a204247 + .quad 0x7464d3a63b11eddc + .quad 0x03bf9baf550806ef + .quad 0x3f13e128cc586604 + .quad 0x6f5873ecb459747e + .quad 0xa0b63dedcc1268f5 + .quad 0x566d78634586e22c + + // 2^8 * 3 * G + + .quad 0x1637a49f9cc10834 + .quad 0xbc8e56d5a89bc451 + .quad 0x1cb5ec0f7f7fd2db + .quad 0x33975bca5ecc35d9 + .quad 0xa1054285c65a2fd0 + .quad 0x6c64112af31667c3 + .quad 0x680ae240731aee58 + .quad 0x14fba5f34793b22a + .quad 0x3cd746166985f7d4 + .quad 0x593e5e84c9c80057 + .quad 0x2fc3f2b67b61131e + .quad 0x14829cea83fc526c + + // 2^8 * 4 * G + + .quad 0xff437b8497dd95c2 + .quad 0x6c744e30aa4eb5a7 + .quad 0x9e0c5d613c85e88b + .quad 0x2fd9c71e5f758173 + .quad 0x21e70b2f4e71ecb8 + .quad 0xe656ddb940a477e3 + .quad 0xbf6556cece1d4f80 + .quad 0x05fc3bc4535d7b7e + .quad 0x24b8b3ae52afdedd + .quad 0x3495638ced3b30cf + .quad 0x33a4bc83a9be8195 + .quad 0x373767475c651f04 + + // 2^8 * 5 * G + + .quad 0x2fba99fd40d1add9 + .quad 0xb307166f96f4d027 + .quad 0x4363f05215f03bae + .quad 0x1fbea56c3b18f999 + .quad 0x634095cb14246590 + .quad 0xef12144016c15535 + .quad 0x9e38140c8910bc60 + .quad 0x6bf5905730907c8c + .quad 0x0fa778f1e1415b8a + .quad 0x06409ff7bac3a77e + .quad 0x6f52d7b89aa29a50 + .quad 0x02521cf67a635a56 + + // 2^8 * 6 * G + + .quad 0x513fee0b0a9d5294 + .quad 0x8f98e75c0fdf5a66 + .quad 0xd4618688bfe107ce + .quad 0x3fa00a7e71382ced + .quad 0xb1146720772f5ee4 + .quad 0xe8f894b196079ace + .quad 0x4af8224d00ac824a + .quad 0x001753d9f7cd6cc4 + .quad 0x3c69232d963ddb34 + .quad 0x1dde87dab4973858 + .quad 0xaad7d1f9a091f285 + .quad 0x12b5fe2fa048edb6 + + // 2^8 * 7 * G + + .quad 0x71f0fbc496fce34d + .quad 0x73b9826badf35bed + .quad 0xd2047261ff28c561 + .quad 0x749b76f96fb1206f + .quad 0xdf2b7c26ad6f1e92 + .quad 0x4b66d323504b8913 + .quad 0x8c409dc0751c8bc3 + .quad 0x6f7e93c20796c7b8 + .quad 0x1f5af604aea6ae05 + .quad 0xc12351f1bee49c99 + .quad 0x61a808b5eeff6b66 + .quad 0x0fcec10f01e02151 + + // 2^8 * 8 * G + + .quad 0x644d58a649fe1e44 + .quad 0x21fcaea231ad777e + .quad 0x02441c5a887fd0d2 + .quad 0x4901aa7183c511f3 + .quad 0x3df2d29dc4244e45 + .quad 0x2b020e7493d8de0a + .quad 0x6cc8067e820c214d + .quad 0x413779166feab90a + .quad 0x08b1b7548c1af8f0 + .quad 0xce0f7a7c246299b4 + .quad 0xf760b0f91e06d939 + .quad 0x41bb887b726d1213 + + // 2^12 * 1 * G + + .quad 0x9267806c567c49d8 + .quad 0x066d04ccca791e6a + .quad 0xa69f5645e3cc394b + .quad 0x5c95b686a0788cd2 + .quad 0x97d980e0aa39f7d2 + .quad 0x35d0384252c6b51c + .quad 0x7d43f49307cd55aa + .quad 0x56bd36cfb78ac362 + .quad 0x2ac519c10d14a954 + .quad 0xeaf474b494b5fa90 + .quad 0xe6af8382a9f87a5a + .quad 0x0dea6db1879be094 + + // 2^12 * 2 * G + + .quad 0xaa66bf547344e5ab + .quad 0xda1258888f1b4309 + .quad 0x5e87d2b3fd564b2f + .quad 0x5b2c78885483b1dd + .quad 0x15baeb74d6a8797a + .quad 0x7ef55cf1fac41732 + .quad 0x29001f5a3c8b05c5 + .quad 0x0ad7cc8752eaccfb + .quad 0x52151362793408cf + .quad 0xeb0f170319963d94 + .quad 0xa833b2fa883d9466 + .quad 0x093a7fa775003c78 + + // 2^12 * 3 * G + + .quad 0xe5107de63a16d7be + .quad 0xa377ffdc9af332cf + .quad 0x70d5bf18440b677f + .quad 0x6a252b19a4a31403 + .quad 0xb8e9604460a91286 + .quad 0x7f3fd8047778d3de + .quad 0x67d01e31bf8a5e2d + .quad 0x7b038a06c27b653e + .quad 0x9ed919d5d36990f3 + .quad 0x5213aebbdb4eb9f2 + .quad 0xc708ea054cb99135 + .quad 0x58ded57f72260e56 + + // 2^12 * 4 * G + + .quad 0x78e79dade9413d77 + .quad 0xf257f9d59729e67d + .quad 0x59db910ee37aa7e6 + .quad 0x6aa11b5bbb9e039c + .quad 0xda6d53265b0fd48b + .quad 0x8960823193bfa988 + .quad 0xd78ac93261d57e28 + .quad 0x79f2942d3a5c8143 + .quad 0x97da2f25b6c88de9 + .quad 0x251ba7eaacf20169 + .quad 0x09b44f87ef4eb4e4 + .quad 0x7d90ab1bbc6a7da5 + + // 2^12 * 5 * G + + .quad 0x9acca683a7016bfe + .quad 0x90505f4df2c50b6d + .quad 0x6b610d5fcce435aa + .quad 0x19a10d446198ff96 + .quad 0x1a07a3f496b3c397 + .quad 0x11ceaa188f4e2532 + .quad 0x7d9498d5a7751bf0 + .quad 0x19ed161f508dd8a0 + .quad 0x560a2cd687dce6ca + .quad 0x7f3568c48664cf4d + .quad 0x8741e95222803a38 + .quad 0x483bdab1595653fc + + // 2^12 * 6 * G + + .quad 0xfa780f148734fa49 + .quad 0x106f0b70360534e0 + .quad 0x2210776fe3e307bd + .quad 0x3286c109dde6a0fe + .quad 0xd6cf4d0ab4da80f6 + .quad 0x82483e45f8307fe0 + .quad 0x05005269ae6f9da4 + .quad 0x1c7052909cf7877a + .quad 0x32ee7de2874e98d4 + .quad 0x14c362e9b97e0c60 + .quad 0x5781dcde6a60a38a + .quad 0x217dd5eaaa7aa840 + + // 2^12 * 7 * G + + .quad 0x9db7c4d0248e1eb0 + .quad 0xe07697e14d74bf52 + .quad 0x1e6a9b173c562354 + .quad 0x7fa7c21f795a4965 + .quad 0x8bdf1fb9be8c0ec8 + .quad 0x00bae7f8e30a0282 + .quad 0x4963991dad6c4f6c + .quad 0x07058a6e5df6f60a + .quad 0xe9eb02c4db31f67f + .quad 0xed25fd8910bcfb2b + .quad 0x46c8131f5c5cddb4 + .quad 0x33b21c13a0cb9bce + + // 2^12 * 8 * G + + .quad 0x360692f8087d8e31 + .quad 0xf4dcc637d27163f7 + .quad 0x25a4e62065ea5963 + .quad 0x659bf72e5ac160d9 + .quad 0x9aafb9b05ee38c5b + .quad 0xbf9d2d4e071a13c7 + .quad 0x8eee6e6de933290a + .quad 0x1c3bab17ae109717 + .quad 0x1c9ab216c7cab7b0 + .quad 0x7d65d37407bbc3cc + .quad 0x52744750504a58d5 + .quad 0x09f2606b131a2990 + + // 2^16 * 1 * G + + .quad 0x40e87d44744346be + .quad 0x1d48dad415b52b25 + .quad 0x7c3a8a18a13b603e + .quad 0x4eb728c12fcdbdf7 + .quad 0x7e234c597c6691ae + .quad 0x64889d3d0a85b4c8 + .quad 0xdae2c90c354afae7 + .quad 0x0a871e070c6a9e1d + .quad 0x3301b5994bbc8989 + .quad 0x736bae3a5bdd4260 + .quad 0x0d61ade219d59e3c + .quad 0x3ee7300f2685d464 + + // 2^16 * 2 * G + + .quad 0xf5d255e49e7dd6b7 + .quad 0x8016115c610b1eac + .quad 0x3c99975d92e187ca + .quad 0x13815762979125c2 + .quad 0x43fa7947841e7518 + .quad 0xe5c6fa59639c46d7 + .quad 0xa1065e1de3052b74 + .quad 0x7d47c6a2cfb89030 + .quad 0x3fdad0148ef0d6e0 + .quad 0x9d3e749a91546f3c + .quad 0x71ec621026bb8157 + .quad 0x148cf58d34c9ec80 + + // 2^16 * 3 * G + + .quad 0x46a492f67934f027 + .quad 0x469984bef6840aa9 + .quad 0x5ca1bc2a89611854 + .quad 0x3ff2fa1ebd5dbbd4 + .quad 0xe2572f7d9ae4756d + .quad 0x56c345bb88f3487f + .quad 0x9fd10b6d6960a88d + .quad 0x278febad4eaea1b9 + .quad 0xb1aa681f8c933966 + .quad 0x8c21949c20290c98 + .quad 0x39115291219d3c52 + .quad 0x4104dd02fe9c677b + + // 2^16 * 4 * G + + .quad 0x72b2bf5e1124422a + .quad 0xa1fa0c3398a33ab5 + .quad 0x94cb6101fa52b666 + .quad 0x2c863b00afaf53d5 + .quad 0x81214e06db096ab8 + .quad 0x21a8b6c90ce44f35 + .quad 0x6524c12a409e2af5 + .quad 0x0165b5a48efca481 + .quad 0xf190a474a0846a76 + .quad 0x12eff984cd2f7cc0 + .quad 0x695e290658aa2b8f + .quad 0x591b67d9bffec8b8 + + // 2^16 * 5 * G + + .quad 0x312f0d1c80b49bfa + .quad 0x5979515eabf3ec8a + .quad 0x727033c09ef01c88 + .quad 0x3de02ec7ca8f7bcb + .quad 0x99b9b3719f18b55d + .quad 0xe465e5faa18c641e + .quad 0x61081136c29f05ed + .quad 0x489b4f867030128b + .quad 0xd232102d3aeb92ef + .quad 0xe16253b46116a861 + .quad 0x3d7eabe7190baa24 + .quad 0x49f5fbba496cbebf + + // 2^16 * 6 * G + + .quad 0x30949a108a5bcfd4 + .quad 0xdc40dd70bc6473eb + .quad 0x92c294c1307c0d1c + .quad 0x5604a86dcbfa6e74 + .quad 0x155d628c1e9c572e + .quad 0x8a4d86acc5884741 + .quad 0x91a352f6515763eb + .quad 0x06a1a6c28867515b + .quad 0x7288d1d47c1764b6 + .quad 0x72541140e0418b51 + .quad 0x9f031a6018acf6d1 + .quad 0x20989e89fe2742c6 + + // 2^16 * 7 * G + + .quad 0x499777fd3a2dcc7f + .quad 0x32857c2ca54fd892 + .quad 0xa279d864d207e3a0 + .quad 0x0403ed1d0ca67e29 + .quad 0x1674278b85eaec2e + .quad 0x5621dc077acb2bdf + .quad 0x640a4c1661cbf45a + .quad 0x730b9950f70595d3 + .quad 0xc94b2d35874ec552 + .quad 0xc5e6c8cf98246f8d + .quad 0xf7cb46fa16c035ce + .quad 0x5bd7454308303dcc + + // 2^16 * 8 * G + + .quad 0x7f9ad19528b24cc2 + .quad 0x7f6b54656335c181 + .quad 0x66b8b66e4fc07236 + .quad 0x133a78007380ad83 + .quad 0x85c4932115e7792a + .quad 0xc64c89a2bdcdddc9 + .quad 0x9d1e3da8ada3d762 + .quad 0x5bb7db123067f82c + .quad 0x0961f467c6ca62be + .quad 0x04ec21d6211952ee + .quad 0x182360779bd54770 + .quad 0x740dca6d58f0e0d2 + + // 2^20 * 1 * G + + .quad 0x50b70bf5d3f0af0b + .quad 0x4feaf48ae32e71f7 + .quad 0x60e84ed3a55bbd34 + .quad 0x00ed489b3f50d1ed + .quad 0x3906c72aed261ae5 + .quad 0x9ab68fd988e100f7 + .quad 0xf5e9059af3360197 + .quad 0x0e53dc78bf2b6d47 + .quad 0xb90829bf7971877a + .quad 0x5e4444636d17e631 + .quad 0x4d05c52e18276893 + .quad 0x27632d9a5a4a4af5 + + // 2^20 * 2 * G + + .quad 0xd11ff05154b260ce + .quad 0xd86dc38e72f95270 + .quad 0x601fcd0d267cc138 + .quad 0x2b67916429e90ccd + .quad 0xa98285d187eaffdb + .quad 0xa5b4fbbbd8d0a864 + .quad 0xb658f27f022663f7 + .quad 0x3bbc2b22d99ce282 + .quad 0xb917c952583c0a58 + .quad 0x653ff9b80fe4c6f3 + .quad 0x9b0da7d7bcdf3c0c + .quad 0x43a0eeb6ab54d60e + + // 2^20 * 3 * G + + .quad 0x396966a46d4a5487 + .quad 0xf811a18aac2bb3ba + .quad 0x66e4685b5628b26b + .quad 0x70a477029d929b92 + .quad 0x3ac6322357875fe8 + .quad 0xd9d4f4ecf5fbcb8f + .quad 0x8dee8493382bb620 + .quad 0x50c5eaa14c799fdc + .quad 0xdd0edc8bd6f2fb3c + .quad 0x54c63aa79cc7b7a0 + .quad 0xae0b032b2c8d9f1a + .quad 0x6f9ce107602967fb + + // 2^20 * 4 * G + + .quad 0xad1054b1cde1c22a + .quad 0xc4a8e90248eb32df + .quad 0x5f3e7b33accdc0ea + .quad 0x72364713fc79963e + .quad 0x139693063520e0b5 + .quad 0x437fcf7c88ea03fe + .quad 0xf7d4c40bd3c959bc + .quad 0x699154d1f893ded9 + .quad 0x315d5c75b4b27526 + .quad 0xcccb842d0236daa5 + .quad 0x22f0c8a3345fee8e + .quad 0x73975a617d39dbed + + // 2^20 * 5 * G + + .quad 0xe4024df96375da10 + .quad 0x78d3251a1830c870 + .quad 0x902b1948658cd91c + .quad 0x7e18b10b29b7438a + .quad 0x6f37f392f4433e46 + .quad 0x0e19b9a11f566b18 + .quad 0x220fb78a1fd1d662 + .quad 0x362a4258a381c94d + .quad 0x9071d9132b6beb2f + .quad 0x0f26e9ad28418247 + .quad 0xeab91ec9bdec925d + .quad 0x4be65bc8f48af2de + + // 2^20 * 6 * G + + .quad 0x78487feba36e7028 + .quad 0x5f3f13001dd8ce34 + .quad 0x934fb12d4b30c489 + .quad 0x056c244d397f0a2b + .quad 0x1d50fba257c26234 + .quad 0x7bd4823adeb0678b + .quad 0xc2b0dc6ea6538af5 + .quad 0x5665eec6351da73e + .quad 0xdb3ee00943bfb210 + .quad 0x4972018720800ac2 + .quad 0x26ab5d6173bd8667 + .quad 0x20b209c2ab204938 + + // 2^20 * 7 * G + + .quad 0x549e342ac07fb34b + .quad 0x02d8220821373d93 + .quad 0xbc262d70acd1f567 + .quad 0x7a92c9fdfbcac784 + .quad 0x1fcca94516bd3289 + .quad 0x448d65aa41420428 + .quad 0x59c3b7b216a55d62 + .quad 0x49992cc64e612cd8 + .quad 0x65bd1bea70f801de + .quad 0x1befb7c0fe49e28a + .quad 0xa86306cdb1b2ae4a + .quad 0x3b7ac0cd265c2a09 + + // 2^20 * 8 * G + + .quad 0x822bee438c01bcec + .quad 0x530cb525c0fbc73b + .quad 0x48519034c1953fe9 + .quad 0x265cc261e09a0f5b + .quad 0xf0d54e4f22ed39a7 + .quad 0xa2aae91e5608150a + .quad 0xf421b2e9eddae875 + .quad 0x31bc531d6b7de992 + .quad 0xdf3d134da980f971 + .quad 0x7a4fb8d1221a22a7 + .quad 0x3df7d42035aad6d8 + .quad 0x2a14edcc6a1a125e + + // 2^24 * 1 * G + + .quad 0xdf48ee0752cfce4e + .quad 0xc3fffaf306ec08b7 + .quad 0x05710b2ab95459c4 + .quad 0x161d25fa963ea38d + .quad 0x231a8c570478433c + .quad 0xb7b5270ec281439d + .quad 0xdbaa99eae3d9079f + .quad 0x2c03f5256c2b03d9 + .quad 0x790f18757b53a47d + .quad 0x307b0130cf0c5879 + .quad 0x31903d77257ef7f9 + .quad 0x699468bdbd96bbaf + + // 2^24 * 2 * G + + .quad 0xbd1f2f46f4dafecf + .quad 0x7cef0114a47fd6f7 + .quad 0xd31ffdda4a47b37f + .quad 0x525219a473905785 + .quad 0xd8dd3de66aa91948 + .quad 0x485064c22fc0d2cc + .quad 0x9b48246634fdea2f + .quad 0x293e1c4e6c4a2e3a + .quad 0x376e134b925112e1 + .quad 0x703778b5dca15da0 + .quad 0xb04589af461c3111 + .quad 0x5b605c447f032823 + + // 2^24 * 3 * G + + .quad 0xb965805920c47c89 + .quad 0xe7f0100c923b8fcc + .quad 0x0001256502e2ef77 + .quad 0x24a76dcea8aeb3ee + .quad 0x3be9fec6f0e7f04c + .quad 0x866a579e75e34962 + .quad 0x5542ef161e1de61a + .quad 0x2f12fef4cc5abdd5 + .quad 0x0a4522b2dfc0c740 + .quad 0x10d06e7f40c9a407 + .quad 0xc6cf144178cff668 + .quad 0x5e607b2518a43790 + + // 2^24 * 4 * G + + .quad 0x58b31d8f6cdf1818 + .quad 0x35cfa74fc36258a2 + .quad 0xe1b3ff4f66e61d6e + .quad 0x5067acab6ccdd5f7 + .quad 0xa02c431ca596cf14 + .quad 0xe3c42d40aed3e400 + .quad 0xd24526802e0f26db + .quad 0x201f33139e457068 + .quad 0xfd527f6b08039d51 + .quad 0x18b14964017c0006 + .quad 0xd5220eb02e25a4a8 + .quad 0x397cba8862460375 + + // 2^24 * 5 * G + + .quad 0x30c13093f05959b2 + .quad 0xe23aa18de9a97976 + .quad 0x222fd491721d5e26 + .quad 0x2339d320766e6c3a + .quad 0x7815c3fbc81379e7 + .quad 0xa6619420dde12af1 + .quad 0xffa9c0f885a8fdd5 + .quad 0x771b4022c1e1c252 + .quad 0xd87dd986513a2fa7 + .quad 0xf5ac9b71f9d4cf08 + .quad 0xd06bc31b1ea283b3 + .quad 0x331a189219971a76 + + // 2^24 * 6 * G + + .quad 0xf5166f45fb4f80c6 + .quad 0x9c36c7de61c775cf + .quad 0xe3d4e81b9041d91c + .quad 0x31167c6b83bdfe21 + .quad 0x26512f3a9d7572af + .quad 0x5bcbe28868074a9e + .quad 0x84edc1c11180f7c4 + .quad 0x1ac9619ff649a67b + .quad 0xf22b3842524b1068 + .quad 0x5068343bee9ce987 + .quad 0xfc9d71844a6250c8 + .quad 0x612436341f08b111 + + // 2^24 * 7 * G + + .quad 0xd99d41db874e898d + .quad 0x09fea5f16c07dc20 + .quad 0x793d2c67d00f9bbc + .quad 0x46ebe2309e5eff40 + .quad 0x8b6349e31a2d2638 + .quad 0x9ddfb7009bd3fd35 + .quad 0x7f8bf1b8a3a06ba4 + .quad 0x1522aa3178d90445 + .quad 0x2c382f5369614938 + .quad 0xdafe409ab72d6d10 + .quad 0xe8c83391b646f227 + .quad 0x45fe70f50524306c + + // 2^24 * 8 * G + + .quad 0xda4875a6960c0b8c + .quad 0x5b68d076ef0e2f20 + .quad 0x07fb51cf3d0b8fd4 + .quad 0x428d1623a0e392d4 + .quad 0x62f24920c8951491 + .quad 0x05f007c83f630ca2 + .quad 0x6fbb45d2f5c9d4b8 + .quad 0x16619f6db57a2245 + .quad 0x084f4a4401a308fd + .quad 0xa82219c376a5caac + .quad 0xdeb8de4643d1bc7d + .quad 0x1d81592d60bd38c6 + + // 2^28 * 1 * G + + .quad 0xd833d7beec2a4c38 + .quad 0x2c9162830acc20ed + .quad 0xe93a47aa92df7581 + .quad 0x702d67a3333c4a81 + .quad 0x3a4a369a2f89c8a1 + .quad 0x63137a1d7c8de80d + .quad 0xbcac008a78eda015 + .quad 0x2cb8b3a5b483b03f + .quad 0x36e417cbcb1b90a1 + .quad 0x33b3ddaa7f11794e + .quad 0x3f510808885bc607 + .quad 0x24141dc0e6a8020d + + // 2^28 * 2 * G + + .quad 0x59f73c773fefee9d + .quad 0xb3f1ef89c1cf989d + .quad 0xe35dfb42e02e545f + .quad 0x5766120b47a1b47c + .quad 0x91925dccbd83157d + .quad 0x3ca1205322cc8094 + .quad 0x28e57f183f90d6e4 + .quad 0x1a4714cede2e767b + .quad 0xdb20ba0fb8b6b7ff + .quad 0xb732c3b677511fa1 + .quad 0xa92b51c099f02d89 + .quad 0x4f3875ad489ca5f1 + + // 2^28 * 3 * G + + .quad 0xc7fc762f4932ab22 + .quad 0x7ac0edf72f4c3c1b + .quad 0x5f6b55aa9aa895e8 + .quad 0x3680274dad0a0081 + .quad 0x79ed13f6ee73eec0 + .quad 0xa5c6526d69110bb1 + .quad 0xe48928c38603860c + .quad 0x722a1446fd7059f5 + .quad 0xd0959fe9a8cf8819 + .quad 0xd0a995508475a99c + .quad 0x6eac173320b09cc5 + .quad 0x628ecf04331b1095 + + // 2^28 * 4 * G + + .quad 0x98bcb118a9d0ddbc + .quad 0xee449e3408b4802b + .quad 0x87089226b8a6b104 + .quad 0x685f349a45c7915d + .quad 0x9b41acf85c74ccf1 + .quad 0xb673318108265251 + .quad 0x99c92aed11adb147 + .quad 0x7a47d70d34ecb40f + .quad 0x60a0c4cbcc43a4f5 + .quad 0x775c66ca3677bea9 + .quad 0xa17aa1752ff8f5ed + .quad 0x11ded9020e01fdc0 + + // 2^28 * 5 * G + + .quad 0x890e7809caefe704 + .quad 0x8728296de30e8c6c + .quad 0x4c5cd2a392aeb1c9 + .quad 0x194263d15771531f + .quad 0x471f95b03bea93b7 + .quad 0x0552d7d43313abd3 + .quad 0xbd9370e2e17e3f7b + .quad 0x7b120f1db20e5bec + .quad 0x17d2fb3d86502d7a + .quad 0xb564d84450a69352 + .quad 0x7da962c8a60ed75d + .quad 0x00d0f85b318736aa + + // 2^28 * 6 * G + + .quad 0x978b142e777c84fd + .quad 0xf402644705a8c062 + .quad 0xa67ad51be7e612c7 + .quad 0x2f7b459698dd6a33 + .quad 0xa6753c1efd7621c1 + .quad 0x69c0b4a7445671f5 + .quad 0x971f527405b23c11 + .quad 0x387bc74851a8c7cd + .quad 0x81894b4d4a52a9a8 + .quad 0xadd93e12f6b8832f + .quad 0x184d8548b61bd638 + .quad 0x3f1c62dbd6c9f6cd + + // 2^28 * 7 * G + + .quad 0x2e8f1f0091910c1f + .quad 0xa4df4fe0bff2e12c + .quad 0x60c6560aee927438 + .quad 0x6338283facefc8fa + .quad 0x3fad3e40148f693d + .quad 0x052656e194eb9a72 + .quad 0x2f4dcbfd184f4e2f + .quad 0x406f8db1c482e18b + .quad 0x9e630d2c7f191ee4 + .quad 0x4fbf8301bc3ff670 + .quad 0x787d8e4e7afb73c4 + .quad 0x50d83d5be8f58fa5 + + // 2^28 * 8 * G + + .quad 0x85683916c11a1897 + .quad 0x2d69a4efe506d008 + .quad 0x39af1378f664bd01 + .quad 0x65942131361517c6 + .quad 0xc0accf90b4d3b66d + .quad 0xa7059de561732e60 + .quad 0x033d1f7870c6b0ba + .quad 0x584161cd26d946e4 + .quad 0xbbf2b1a072d27ca2 + .quad 0xbf393c59fbdec704 + .quad 0xe98dbbcee262b81e + .quad 0x02eebd0b3029b589 + + // 2^32 * 1 * G + + .quad 0x61368756a60dac5f + .quad 0x17e02f6aebabdc57 + .quad 0x7f193f2d4cce0f7d + .quad 0x20234a7789ecdcf0 + .quad 0x8765b69f7b85c5e8 + .quad 0x6ff0678bd168bab2 + .quad 0x3a70e77c1d330f9b + .quad 0x3a5f6d51b0af8e7c + .quad 0x76d20db67178b252 + .quad 0x071c34f9d51ed160 + .quad 0xf62a4a20b3e41170 + .quad 0x7cd682353cffe366 + + // 2^32 * 2 * G + + .quad 0x0be1a45bd887fab6 + .quad 0x2a846a32ba403b6e + .quad 0xd9921012e96e6000 + .quad 0x2838c8863bdc0943 + .quad 0xa665cd6068acf4f3 + .quad 0x42d92d183cd7e3d3 + .quad 0x5759389d336025d9 + .quad 0x3ef0253b2b2cd8ff + .quad 0xd16bb0cf4a465030 + .quad 0xfa496b4115c577ab + .quad 0x82cfae8af4ab419d + .quad 0x21dcb8a606a82812 + + // 2^32 * 3 * G + + .quad 0x5c6004468c9d9fc8 + .quad 0x2540096ed42aa3cb + .quad 0x125b4d4c12ee2f9c + .quad 0x0bc3d08194a31dab + .quad 0x9a8d00fabe7731ba + .quad 0x8203607e629e1889 + .quad 0xb2cc023743f3d97f + .quad 0x5d840dbf6c6f678b + .quad 0x706e380d309fe18b + .quad 0x6eb02da6b9e165c7 + .quad 0x57bbba997dae20ab + .quad 0x3a4276232ac196dd + + // 2^32 * 4 * G + + .quad 0x4b42432c8a7084fa + .quad 0x898a19e3dfb9e545 + .quad 0xbe9f00219c58e45d + .quad 0x1ff177cea16debd1 + .quad 0x3bf8c172db447ecb + .quad 0x5fcfc41fc6282dbd + .quad 0x80acffc075aa15fe + .quad 0x0770c9e824e1a9f9 + .quad 0xcf61d99a45b5b5fd + .quad 0x860984e91b3a7924 + .quad 0xe7300919303e3e89 + .quad 0x39f264fd41500b1e + + // 2^32 * 5 * G + + .quad 0xa7ad3417dbe7e29c + .quad 0xbd94376a2b9c139c + .quad 0xa0e91b8e93597ba9 + .quad 0x1712d73468889840 + .quad 0xd19b4aabfe097be1 + .quad 0xa46dfce1dfe01929 + .quad 0xc3c908942ca6f1ff + .quad 0x65c621272c35f14e + .quad 0xe72b89f8ce3193dd + .quad 0x4d103356a125c0bb + .quad 0x0419a93d2e1cfe83 + .quad 0x22f9800ab19ce272 + + // 2^32 * 6 * G + + .quad 0x605a368a3e9ef8cb + .quad 0xe3e9c022a5504715 + .quad 0x553d48b05f24248f + .quad 0x13f416cd647626e5 + .quad 0x42029fdd9a6efdac + .quad 0xb912cebe34a54941 + .quad 0x640f64b987bdf37b + .quad 0x4171a4d38598cab4 + .quad 0xfa2758aa99c94c8c + .quad 0x23006f6fb000b807 + .quad 0xfbd291ddadda5392 + .quad 0x508214fa574bd1ab + + // 2^32 * 7 * G + + .quad 0xc20269153ed6fe4b + .quad 0xa65a6739511d77c4 + .quad 0xcbde26462c14af94 + .quad 0x22f960ec6faba74b + .quad 0x461a15bb53d003d6 + .quad 0xb2102888bcf3c965 + .quad 0x27c576756c683a5a + .quad 0x3a7758a4c86cb447 + .quad 0x548111f693ae5076 + .quad 0x1dae21df1dfd54a6 + .quad 0x12248c90f3115e65 + .quad 0x5d9fd15f8de7f494 + + // 2^32 * 8 * G + + .quad 0x031408d36d63727f + .quad 0x6a379aefd7c7b533 + .quad 0xa9e18fc5ccaee24b + .quad 0x332f35914f8fbed3 + .quad 0x3f244d2aeed7521e + .quad 0x8e3a9028432e9615 + .quad 0xe164ba772e9c16d4 + .quad 0x3bc187fa47eb98d8 + .quad 0x6d470115ea86c20c + .quad 0x998ab7cb6c46d125 + .quad 0xd77832b53a660188 + .quad 0x450d81ce906fba03 + + // 2^36 * 1 * G + + .quad 0xf8ae4d2ad8453902 + .quad 0x7018058ee8db2d1d + .quad 0xaab3995fc7d2c11e + .quad 0x53b16d2324ccca79 + .quad 0x23264d66b2cae0b5 + .quad 0x7dbaed33ebca6576 + .quad 0x030ebed6f0d24ac8 + .quad 0x2a887f78f7635510 + .quad 0x2a23b9e75c012d4f + .quad 0x0c974651cae1f2ea + .quad 0x2fb63273675d70ca + .quad 0x0ba7250b864403f5 + + // 2^36 * 2 * G + + .quad 0xbb0d18fd029c6421 + .quad 0xbc2d142189298f02 + .quad 0x8347f8e68b250e96 + .quad 0x7b9f2fe8032d71c9 + .quad 0xdd63589386f86d9c + .quad 0x61699176e13a85a4 + .quad 0x2e5111954eaa7d57 + .quad 0x32c21b57fb60bdfb + .quad 0xd87823cd319e0780 + .quad 0xefc4cfc1897775c5 + .quad 0x4854fb129a0ab3f7 + .quad 0x12c49d417238c371 + + // 2^36 * 3 * G + + .quad 0x0950b533ffe83769 + .quad 0x21861c1d8e1d6bd1 + .quad 0xf022d8381302e510 + .quad 0x2509200c6391cab4 + .quad 0x09b3a01783799542 + .quad 0x626dd08faad5ee3f + .quad 0xba00bceeeb70149f + .quad 0x1421b246a0a444c9 + .quad 0x4aa43a8e8c24a7c7 + .quad 0x04c1f540d8f05ef5 + .quad 0xadba5e0c0b3eb9dc + .quad 0x2ab5504448a49ce3 + + // 2^36 * 4 * G + + .quad 0x2ed227266f0f5dec + .quad 0x9824ee415ed50824 + .quad 0x807bec7c9468d415 + .quad 0x7093bae1b521e23f + .quad 0xdc07ac631c5d3afa + .quad 0x58615171f9df8c6c + .quad 0x72a079d89d73e2b0 + .quad 0x7301f4ceb4eae15d + .quad 0x6409e759d6722c41 + .quad 0xa674e1cf72bf729b + .quad 0xbc0a24eb3c21e569 + .quad 0x390167d24ebacb23 + + // 2^36 * 5 * G + + .quad 0x27f58e3bba353f1c + .quad 0x4c47764dbf6a4361 + .quad 0xafbbc4e56e562650 + .quad 0x07db2ee6aae1a45d + .quad 0xd7bb054ba2f2120b + .quad 0xe2b9ceaeb10589b7 + .quad 0x3fe8bac8f3c0edbe + .quad 0x4cbd40767112cb69 + .quad 0x0b603cc029c58176 + .quad 0x5988e3825cb15d61 + .quad 0x2bb61413dcf0ad8d + .quad 0x7b8eec6c74183287 + + // 2^36 * 6 * G + + .quad 0xe4ca40782cd27cb0 + .quad 0xdaf9c323fbe967bd + .quad 0xb29bd34a8ad41e9e + .quad 0x72810497626ede4d + .quad 0x32fee570fc386b73 + .quad 0xda8b0141da3a8cc7 + .quad 0x975ffd0ac8968359 + .quad 0x6ee809a1b132a855 + .quad 0x9444bb31fcfd863a + .quad 0x2fe3690a3e4e48c5 + .quad 0xdc29c867d088fa25 + .quad 0x13bd1e38d173292e + + // 2^36 * 7 * G + + .quad 0xd32b4cd8696149b5 + .quad 0xe55937d781d8aab7 + .quad 0x0bcb2127ae122b94 + .quad 0x41e86fcfb14099b0 + .quad 0x223fb5cf1dfac521 + .quad 0x325c25316f554450 + .quad 0x030b98d7659177ac + .quad 0x1ed018b64f88a4bd + .quad 0x3630dfa1b802a6b0 + .quad 0x880f874742ad3bd5 + .quad 0x0af90d6ceec5a4d4 + .quad 0x746a247a37cdc5d9 + + // 2^36 * 8 * G + + .quad 0xd531b8bd2b7b9af6 + .quad 0x5005093537fc5b51 + .quad 0x232fcf25c593546d + .quad 0x20a365142bb40f49 + .quad 0x6eccd85278d941ed + .quad 0x2254ae83d22f7843 + .quad 0xc522d02e7bbfcdb7 + .quad 0x681e3351bff0e4e2 + .quad 0x8b64b59d83034f45 + .quad 0x2f8b71f21fa20efb + .quad 0x69249495ba6550e4 + .quad 0x539ef98e45d5472b + + // 2^40 * 1 * G + + .quad 0x6e7bb6a1a6205275 + .quad 0xaa4f21d7413c8e83 + .quad 0x6f56d155e88f5cb2 + .quad 0x2de25d4ba6345be1 + .quad 0xd074d8961cae743f + .quad 0xf86d18f5ee1c63ed + .quad 0x97bdc55be7f4ed29 + .quad 0x4cbad279663ab108 + .quad 0x80d19024a0d71fcd + .quad 0xc525c20afb288af8 + .quad 0xb1a3974b5f3a6419 + .quad 0x7d7fbcefe2007233 + + // 2^40 * 2 * G + + .quad 0xfaef1e6a266b2801 + .quad 0x866c68c4d5739f16 + .quad 0xf68a2fbc1b03762c + .quad 0x5975435e87b75a8d + .quad 0xcd7c5dc5f3c29094 + .quad 0xc781a29a2a9105ab + .quad 0x80c61d36421c3058 + .quad 0x4f9cd196dcd8d4d7 + .quad 0x199297d86a7b3768 + .quad 0xd0d058241ad17a63 + .quad 0xba029cad5c1c0c17 + .quad 0x7ccdd084387a0307 + + // 2^40 * 3 * G + + .quad 0xdca6422c6d260417 + .quad 0xae153d50948240bd + .quad 0xa9c0c1b4fb68c677 + .quad 0x428bd0ed61d0cf53 + .quad 0x9b0c84186760cc93 + .quad 0xcdae007a1ab32a99 + .quad 0xa88dec86620bda18 + .quad 0x3593ca848190ca44 + .quad 0x9213189a5e849aa7 + .quad 0xd4d8c33565d8facd + .quad 0x8c52545b53fdbbd1 + .quad 0x27398308da2d63e6 + + // 2^40 * 4 * G + + .quad 0x42c38d28435ed413 + .quad 0xbd50f3603278ccc9 + .quad 0xbb07ab1a79da03ef + .quad 0x269597aebe8c3355 + .quad 0xb9a10e4c0a702453 + .quad 0x0fa25866d57d1bde + .quad 0xffb9d9b5cd27daf7 + .quad 0x572c2945492c33fd + .quad 0xc77fc745d6cd30be + .quad 0xe4dfe8d3e3baaefb + .quad 0xa22c8830aa5dda0c + .quad 0x7f985498c05bca80 + + // 2^40 * 5 * G + + .quad 0x3849ce889f0be117 + .quad 0x8005ad1b7b54a288 + .quad 0x3da3c39f23fc921c + .quad 0x76c2ec470a31f304 + .quad 0xd35615520fbf6363 + .quad 0x08045a45cf4dfba6 + .quad 0xeec24fbc873fa0c2 + .quad 0x30f2653cd69b12e7 + .quad 0x8a08c938aac10c85 + .quad 0x46179b60db276bcb + .quad 0xa920c01e0e6fac70 + .quad 0x2f1273f1596473da + + // 2^40 * 6 * G + + .quad 0x4739fc7c8ae01e11 + .quad 0xfd5274904a6aab9f + .quad 0x41d98a8287728f2e + .quad 0x5d9e572ad85b69f2 + .quad 0x30488bd755a70bc0 + .quad 0x06d6b5a4f1d442e7 + .quad 0xead1a69ebc596162 + .quad 0x38ac1997edc5f784 + .quad 0x0666b517a751b13b + .quad 0x747d06867e9b858c + .quad 0xacacc011454dde49 + .quad 0x22dfcd9cbfe9e69c + + // 2^40 * 7 * G + + .quad 0x8ddbd2e0c30d0cd9 + .quad 0xad8e665facbb4333 + .quad 0x8f6b258c322a961f + .quad 0x6b2916c05448c1c7 + .quad 0x56ec59b4103be0a1 + .quad 0x2ee3baecd259f969 + .quad 0x797cb29413f5cd32 + .quad 0x0fe9877824cde472 + .quad 0x7edb34d10aba913b + .quad 0x4ea3cd822e6dac0e + .quad 0x66083dff6578f815 + .quad 0x4c303f307ff00a17 + + // 2^40 * 8 * G + + .quad 0xd30a3bd617b28c85 + .quad 0xc5d377b739773bea + .quad 0xc6c6e78c1e6a5cbf + .quad 0x0d61b8f78b2ab7c4 + .quad 0x29fc03580dd94500 + .quad 0xecd27aa46fbbec93 + .quad 0x130a155fc2e2a7f8 + .quad 0x416b151ab706a1d5 + .quad 0x56a8d7efe9c136b0 + .quad 0xbd07e5cd58e44b20 + .quad 0xafe62fda1b57e0ab + .quad 0x191a2af74277e8d2 + + // 2^44 * 1 * G + + .quad 0xd550095bab6f4985 + .quad 0x04f4cd5b4fbfaf1a + .quad 0x9d8e2ed12a0c7540 + .quad 0x2bc24e04b2212286 + .quad 0x09d4b60b2fe09a14 + .quad 0xc384f0afdbb1747e + .quad 0x58e2ea8978b5fd6e + .quad 0x519ef577b5e09b0a + .quad 0x1863d7d91124cca9 + .quad 0x7ac08145b88a708e + .quad 0x2bcd7309857031f5 + .quad 0x62337a6e8ab8fae5 + + // 2^44 * 2 * G + + .quad 0x4bcef17f06ffca16 + .quad 0xde06e1db692ae16a + .quad 0x0753702d614f42b0 + .quad 0x5f6041b45b9212d0 + .quad 0xd1ab324e1b3a1273 + .quad 0x18947cf181055340 + .quad 0x3b5d9567a98c196e + .quad 0x7fa00425802e1e68 + .quad 0x7d531574028c2705 + .quad 0x80317d69db0d75fe + .quad 0x30fface8ef8c8ddd + .quad 0x7e9de97bb6c3e998 + + // 2^44 * 3 * G + + .quad 0x1558967b9e6585a3 + .quad 0x97c99ce098e98b92 + .quad 0x10af149b6eb3adad + .quad 0x42181fe8f4d38cfa + .quad 0xf004be62a24d40dd + .quad 0xba0659910452d41f + .quad 0x81c45ee162a44234 + .quad 0x4cb829d8a22266ef + .quad 0x1dbcaa8407b86681 + .quad 0x081f001e8b26753b + .quad 0x3cd7ce6a84048e81 + .quad 0x78af11633f25f22c + + // 2^44 * 4 * G + + .quad 0x8416ebd40b50babc + .quad 0x1508722628208bee + .quad 0xa3148fafb9c1c36d + .quad 0x0d07daacd32d7d5d + .quad 0x3241c00e7d65318c + .quad 0xe6bee5dcd0e86de7 + .quad 0x118b2dc2fbc08c26 + .quad 0x680d04a7fc603dc3 + .quad 0xf9c2414a695aa3eb + .quad 0xdaa42c4c05a68f21 + .quad 0x7c6c23987f93963e + .quad 0x210e8cd30c3954e3 + + // 2^44 * 5 * G + + .quad 0xac4201f210a71c06 + .quad 0x6a65e0aef3bfb021 + .quad 0xbc42c35c393632f7 + .quad 0x56ea8db1865f0742 + .quad 0x2b50f16137fe6c26 + .quad 0xe102bcd856e404d8 + .quad 0x12b0f1414c561f6b + .quad 0x51b17bc8d028ec91 + .quad 0xfff5fb4bcf535119 + .quad 0xf4989d79df1108a0 + .quad 0xbdfcea659a3ba325 + .quad 0x18a11f1174d1a6f2 + + // 2^44 * 6 * G + + .quad 0x407375ab3f6bba29 + .quad 0x9ec3b6d8991e482e + .quad 0x99c80e82e55f92e9 + .quad 0x307c13b6fb0c0ae1 + .quad 0xfbd63cdad27a5f2c + .quad 0xf00fc4bc8aa106d7 + .quad 0x53fb5c1a8e64a430 + .quad 0x04eaabe50c1a2e85 + .quad 0x24751021cb8ab5e7 + .quad 0xfc2344495c5010eb + .quad 0x5f1e717b4e5610a1 + .quad 0x44da5f18c2710cd5 + + // 2^44 * 7 * G + + .quad 0x033cc55ff1b82eb5 + .quad 0xb15ae36d411cae52 + .quad 0xba40b6198ffbacd3 + .quad 0x768edce1532e861f + .quad 0x9156fe6b89d8eacc + .quad 0xe6b79451e23126a1 + .quad 0xbd7463d93944eb4e + .quad 0x726373f6767203ae + .quad 0xe305ca72eb7ef68a + .quad 0x662cf31f70eadb23 + .quad 0x18f026fdb4c45b68 + .quad 0x513b5384b5d2ecbd + + // 2^44 * 8 * G + + .quad 0x46d46280c729989e + .quad 0x4b93fbd05368a5dd + .quad 0x63df3f81d1765a89 + .quad 0x34cebd64b9a0a223 + .quad 0x5e2702878af34ceb + .quad 0x900b0409b946d6ae + .quad 0x6512ebf7dabd8512 + .quad 0x61d9b76988258f81 + .quad 0xa6c5a71349b7d94b + .quad 0xa3f3d15823eb9446 + .quad 0x0416fbd277484834 + .quad 0x69d45e6f2c70812f + + // 2^48 * 1 * G + + .quad 0xce16f74bc53c1431 + .quad 0x2b9725ce2072edde + .quad 0xb8b9c36fb5b23ee7 + .quad 0x7e2e0e450b5cc908 + .quad 0x9fe62b434f460efb + .quad 0xded303d4a63607d6 + .quad 0xf052210eb7a0da24 + .quad 0x237e7dbe00545b93 + .quad 0x013575ed6701b430 + .quad 0x231094e69f0bfd10 + .quad 0x75320f1583e47f22 + .quad 0x71afa699b11155e3 + + // 2^48 * 2 * G + + .quad 0x65ce6f9b3953b61d + .quad 0xc65839eaafa141e6 + .quad 0x0f435ffda9f759fe + .quad 0x021142e9c2b1c28e + .quad 0xea423c1c473b50d6 + .quad 0x51e87a1f3b38ef10 + .quad 0x9b84bf5fb2c9be95 + .quad 0x00731fbc78f89a1c + .quad 0xe430c71848f81880 + .quad 0xbf960c225ecec119 + .quad 0xb6dae0836bba15e3 + .quad 0x4c4d6f3347e15808 + + // 2^48 * 3 * G + + .quad 0x18f7eccfc17d1fc9 + .quad 0x6c75f5a651403c14 + .quad 0xdbde712bf7ee0cdf + .quad 0x193fddaaa7e47a22 + .quad 0x2f0cddfc988f1970 + .quad 0x6b916227b0b9f51b + .quad 0x6ec7b6c4779176be + .quad 0x38bf9500a88f9fa8 + .quad 0x1fd2c93c37e8876f + .quad 0xa2f61e5a18d1462c + .quad 0x5080f58239241276 + .quad 0x6a6fb99ebf0d4969 + + // 2^48 * 4 * G + + .quad 0x6a46c1bb560855eb + .quad 0x2416bb38f893f09d + .quad 0xd71d11378f71acc1 + .quad 0x75f76914a31896ea + .quad 0xeeb122b5b6e423c6 + .quad 0x939d7010f286ff8e + .quad 0x90a92a831dcf5d8c + .quad 0x136fda9f42c5eb10 + .quad 0xf94cdfb1a305bdd1 + .quad 0x0f364b9d9ff82c08 + .quad 0x2a87d8a5c3bb588a + .quad 0x022183510be8dcba + + // 2^48 * 5 * G + + .quad 0x4af766385ead2d14 + .quad 0xa08ed880ca7c5830 + .quad 0x0d13a6e610211e3d + .quad 0x6a071ce17b806c03 + .quad 0x9d5a710143307a7f + .quad 0xb063de9ec47da45f + .quad 0x22bbfe52be927ad3 + .quad 0x1387c441fd40426c + .quad 0xb5d3c3d187978af8 + .quad 0x722b5a3d7f0e4413 + .quad 0x0d7b4848bb477ca0 + .quad 0x3171b26aaf1edc92 + + // 2^48 * 6 * G + + .quad 0xa92f319097564ca8 + .quad 0xff7bb84c2275e119 + .quad 0x4f55fe37a4875150 + .quad 0x221fd4873cf0835a + .quad 0xa60db7d8b28a47d1 + .quad 0xa6bf14d61770a4f1 + .quad 0xd4a1f89353ddbd58 + .quad 0x6c514a63344243e9 + .quad 0x2322204f3a156341 + .quad 0xfb73e0e9ba0a032d + .quad 0xfce0dd4c410f030e + .quad 0x48daa596fb924aaa + + // 2^48 * 7 * G + + .quad 0x6eca8e665ca59cc7 + .quad 0xa847254b2e38aca0 + .quad 0x31afc708d21e17ce + .quad 0x676dd6fccad84af7 + .quad 0x14f61d5dc84c9793 + .quad 0x9941f9e3ef418206 + .quad 0xcdf5b88f346277ac + .quad 0x58c837fa0e8a79a9 + .quad 0x0cf9688596fc9058 + .quad 0x1ddcbbf37b56a01b + .quad 0xdcc2e77d4935d66a + .quad 0x1c4f73f2c6a57f0a + + // 2^48 * 8 * G + + .quad 0x0e7a4fbd305fa0bb + .quad 0x829d4ce054c663ad + .quad 0xf421c3832fe33848 + .quad 0x795ac80d1bf64c42 + .quad 0xb36e706efc7c3484 + .quad 0x73dfc9b4c3c1cf61 + .quad 0xeb1d79c9781cc7e5 + .quad 0x70459adb7daf675c + .quad 0x1b91db4991b42bb3 + .quad 0x572696234b02dcca + .quad 0x9fdf9ee51f8c78dc + .quad 0x5fe162848ce21fd3 + + // 2^52 * 1 * G + + .quad 0xe2790aae4d077c41 + .quad 0x8b938270db7469a3 + .quad 0x6eb632dc8abd16a2 + .quad 0x720814ecaa064b72 + .quad 0x315c29c795115389 + .quad 0xd7e0e507862f74ce + .quad 0x0c4a762185927432 + .quad 0x72de6c984a25a1e4 + .quad 0xae9ab553bf6aa310 + .quad 0x050a50a9806d6e1b + .quad 0x92bb7403adff5139 + .quad 0x0394d27645be618b + + // 2^52 * 2 * G + + .quad 0x4d572251857eedf4 + .quad 0xe3724edde19e93c5 + .quad 0x8a71420e0b797035 + .quad 0x3b3c833687abe743 + .quad 0xf5396425b23545a4 + .quad 0x15a7a27e98fbb296 + .quad 0xab6c52bc636fdd86 + .quad 0x79d995a8419334ee + .quad 0xcd8a8ea61195dd75 + .quad 0xa504d8a81dd9a82f + .quad 0x540dca81a35879b6 + .quad 0x60dd16a379c86a8a + + // 2^52 * 3 * G + + .quad 0x35a2c8487381e559 + .quad 0x596ffea6d78082cb + .quad 0xcb9771ebdba7b653 + .quad 0x5a08b5019b4da685 + .quad 0x3501d6f8153e47b8 + .quad 0xb7a9675414a2f60c + .quad 0x112ee8b6455d9523 + .quad 0x4e62a3c18112ea8a + .quad 0xc8d4ac04516ab786 + .quad 0x595af3215295b23d + .quad 0xd6edd234db0230c1 + .quad 0x0929efe8825b41cc + + // 2^52 * 4 * G + + .quad 0x5f0601d1cbd0f2d3 + .quad 0x736e412f6132bb7f + .quad 0x83604432238dde87 + .quad 0x1e3a5272f5c0753c + .quad 0x8b3172b7ad56651d + .quad 0x01581b7a3fabd717 + .quad 0x2dc94df6424df6e4 + .quad 0x30376e5d2c29284f + .quad 0xd2918da78159a59c + .quad 0x6bdc1cd93f0713f3 + .quad 0x565f7a934acd6590 + .quad 0x53daacec4cb4c128 + + // 2^52 * 5 * G + + .quad 0x4ca73bd79cc8a7d6 + .quad 0x4d4a738f47e9a9b2 + .quad 0xf4cbf12942f5fe00 + .quad 0x01a13ff9bdbf0752 + .quad 0x99852bc3852cfdb0 + .quad 0x2cc12e9559d6ed0b + .quad 0x70f9e2bf9b5ac27b + .quad 0x4f3b8c117959ae99 + .quad 0x55b6c9c82ff26412 + .quad 0x1ac4a8c91fb667a8 + .quad 0xd527bfcfeb778bf2 + .quad 0x303337da7012a3be + + // 2^52 * 6 * G + + .quad 0x955422228c1c9d7c + .quad 0x01fac1371a9b340f + .quad 0x7e8d9177925b48d7 + .quad 0x53f8ad5661b3e31b + .quad 0x976d3ccbfad2fdd1 + .quad 0xcb88839737a640a8 + .quad 0x2ff00c1d6734cb25 + .quad 0x269ff4dc789c2d2b + .quad 0x0c003fbdc08d678d + .quad 0x4d982fa37ead2b17 + .quad 0xc07e6bcdb2e582f1 + .quad 0x296c7291df412a44 + + // 2^52 * 7 * G + + .quad 0x7903de2b33daf397 + .quad 0xd0ff0619c9a624b3 + .quad 0x8a1d252b555b3e18 + .quad 0x2b6d581c52e0b7c0 + .quad 0xdfb23205dab8b59e + .quad 0x465aeaa0c8092250 + .quad 0xd133c1189a725d18 + .quad 0x2327370261f117d1 + .quad 0x3d0543d3623e7986 + .quad 0x679414c2c278a354 + .quad 0xae43f0cc726196f6 + .quad 0x7836c41f8245eaba + + // 2^52 * 8 * G + + .quad 0xe7a254db49e95a81 + .quad 0x5192d5d008b0ad73 + .quad 0x4d20e5b1d00afc07 + .quad 0x5d55f8012cf25f38 + .quad 0xca651e848011937c + .quad 0xc6b0c46e6ef41a28 + .quad 0xb7021ba75f3f8d52 + .quad 0x119dff99ead7b9fd + .quad 0x43eadfcbf4b31d4d + .quad 0xc6503f7411148892 + .quad 0xfeee68c5060d3b17 + .quad 0x329293b3dd4a0ac8 + + // 2^56 * 1 * G + + .quad 0x4e59214fe194961a + .quad 0x49be7dc70d71cd4f + .quad 0x9300cfd23b50f22d + .quad 0x4789d446fc917232 + .quad 0x2879852d5d7cb208 + .quad 0xb8dedd70687df2e7 + .quad 0xdc0bffab21687891 + .quad 0x2b44c043677daa35 + .quad 0x1a1c87ab074eb78e + .quad 0xfac6d18e99daf467 + .quad 0x3eacbbcd484f9067 + .quad 0x60c52eef2bb9a4e4 + + // 2^56 * 2 * G + + .quad 0x0b5d89bc3bfd8bf1 + .quad 0xb06b9237c9f3551a + .quad 0x0e4c16b0d53028f5 + .quad 0x10bc9c312ccfcaab + .quad 0x702bc5c27cae6d11 + .quad 0x44c7699b54a48cab + .quad 0xefbc4056ba492eb2 + .quad 0x70d77248d9b6676d + .quad 0xaa8ae84b3ec2a05b + .quad 0x98699ef4ed1781e0 + .quad 0x794513e4708e85d1 + .quad 0x63755bd3a976f413 + + // 2^56 * 3 * G + + .quad 0xb55fa03e2ad10853 + .quad 0x356f75909ee63569 + .quad 0x9ff9f1fdbe69b890 + .quad 0x0d8cc1c48bc16f84 + .quad 0x3dc7101897f1acb7 + .quad 0x5dda7d5ec165bbd8 + .quad 0x508e5b9c0fa1020f + .quad 0x2763751737c52a56 + .quad 0x029402d36eb419a9 + .quad 0xf0b44e7e77b460a5 + .quad 0xcfa86230d43c4956 + .quad 0x70c2dd8a7ad166e7 + + // 2^56 * 4 * G + + .quad 0x656194509f6fec0e + .quad 0xee2e7ea946c6518d + .quad 0x9733c1f367e09b5c + .quad 0x2e0fac6363948495 + .quad 0x91d4967db8ed7e13 + .quad 0x74252f0ad776817a + .quad 0xe40982e00d852564 + .quad 0x32b8613816a53ce5 + .quad 0x79e7f7bee448cd64 + .quad 0x6ac83a67087886d0 + .quad 0xf89fd4d9a0e4db2e + .quad 0x4179215c735a4f41 + + // 2^56 * 5 * G + + .quad 0x8c7094e7d7dced2a + .quad 0x97fb8ac347d39c70 + .quad 0xe13be033a906d902 + .quad 0x700344a30cd99d76 + .quad 0xe4ae33b9286bcd34 + .quad 0xb7ef7eb6559dd6dc + .quad 0x278b141fb3d38e1f + .quad 0x31fa85662241c286 + .quad 0xaf826c422e3622f4 + .quad 0xc12029879833502d + .quad 0x9bc1b7e12b389123 + .quad 0x24bb2312a9952489 + + // 2^56 * 6 * G + + .quad 0xb1a8ed1732de67c3 + .quad 0x3cb49418461b4948 + .quad 0x8ebd434376cfbcd2 + .quad 0x0fee3e871e188008 + .quad 0x41f80c2af5f85c6b + .quad 0x687284c304fa6794 + .quad 0x8945df99a3ba1bad + .quad 0x0d1d2af9ffeb5d16 + .quad 0xa9da8aa132621edf + .quad 0x30b822a159226579 + .quad 0x4004197ba79ac193 + .quad 0x16acd79718531d76 + + // 2^56 * 7 * G + + .quad 0x72df72af2d9b1d3d + .quad 0x63462a36a432245a + .quad 0x3ecea07916b39637 + .quad 0x123e0ef6b9302309 + .quad 0xc959c6c57887b6ad + .quad 0x94e19ead5f90feba + .quad 0x16e24e62a342f504 + .quad 0x164ed34b18161700 + .quad 0x487ed94c192fe69a + .quad 0x61ae2cea3a911513 + .quad 0x877bf6d3b9a4de27 + .quad 0x78da0fc61073f3eb + + // 2^56 * 8 * G + + .quad 0x5bf15d28e52bc66a + .quad 0x2c47e31870f01a8e + .quad 0x2419afbc06c28bdd + .quad 0x2d25deeb256b173a + .quad 0xa29f80f1680c3a94 + .quad 0x71f77e151ae9e7e6 + .quad 0x1100f15848017973 + .quad 0x054aa4b316b38ddd + .quad 0xdfc8468d19267cb8 + .quad 0x0b28789c66e54daf + .quad 0x2aeb1d2a666eec17 + .quad 0x134610a6ab7da760 + + // 2^60 * 1 * G + + .quad 0xcaf55ec27c59b23f + .quad 0x99aeed3e154d04f2 + .quad 0x68441d72e14141f4 + .quad 0x140345133932a0a2 + .quad 0xd91430e0dc028c3c + .quad 0x0eb955a85217c771 + .quad 0x4b09e1ed2c99a1fa + .quad 0x42881af2bd6a743c + .quad 0x7bfec69aab5cad3d + .quad 0xc23e8cd34cb2cfad + .quad 0x685dd14bfb37d6a2 + .quad 0x0ad6d64415677a18 + + // 2^60 * 2 * G + + .quad 0x781a439e417becb5 + .quad 0x4ac5938cd10e0266 + .quad 0x5da385110692ac24 + .quad 0x11b065a2ade31233 + .quad 0x7914892847927e9f + .quad 0x33dad6ef370aa877 + .quad 0x1f8f24fa11122703 + .quad 0x5265ac2f2adf9592 + .quad 0x405fdd309afcb346 + .quad 0xd9723d4428e63f54 + .quad 0x94c01df05f65aaae + .quad 0x43e4dc3ae14c0809 + + // 2^60 * 3 * G + + .quad 0xbc12c7f1a938a517 + .quad 0x473028ab3180b2e1 + .quad 0x3f78571efbcd254a + .quad 0x74e534426ff6f90f + .quad 0xea6f7ac3adc2c6a3 + .quad 0xd0e928f6e9717c94 + .quad 0xe2d379ead645eaf5 + .quad 0x46dd8785c51ffbbe + .quad 0x709801be375c8898 + .quad 0x4b06dab5e3fd8348 + .quad 0x75880ced27230714 + .quad 0x2b09468fdd2f4c42 + + // 2^60 * 4 * G + + .quad 0x97c749eeb701cb96 + .quad 0x83f438d4b6a369c3 + .quad 0x62962b8b9a402cd9 + .quad 0x6976c7509888df7b + .quad 0x5b97946582ffa02a + .quad 0xda096a51fea8f549 + .quad 0xa06351375f77af9b + .quad 0x1bcfde61201d1e76 + .quad 0x4a4a5490246a59a2 + .quad 0xd63ebddee87fdd90 + .quad 0xd9437c670d2371fa + .quad 0x69e87308d30f8ed6 + + // 2^60 * 5 * G + + .quad 0x435a8bb15656beb0 + .quad 0xf8fac9ba4f4d5bca + .quad 0xb9b278c41548c075 + .quad 0x3eb0ef76e892b622 + .quad 0x0f80bf028bc80303 + .quad 0x6aae16b37a18cefb + .quad 0xdd47ea47d72cd6a3 + .quad 0x61943588f4ed39aa + .quad 0xd26e5c3e91039f85 + .quad 0xc0e9e77df6f33aa9 + .quad 0xe8968c5570066a93 + .quad 0x3c34d1881faaaddd + + // 2^60 * 6 * G + + .quad 0x3f9d2b5ea09f9ec0 + .quad 0x1dab3b6fb623a890 + .quad 0xa09ba3ea72d926c4 + .quad 0x374193513fd8b36d + .quad 0xbd5b0b8f2fffe0d9 + .quad 0x6aa254103ed24fb9 + .quad 0x2ac7d7bcb26821c4 + .quad 0x605b394b60dca36a + .quad 0xb4e856e45a9d1ed2 + .quad 0xefe848766c97a9a2 + .quad 0xb104cf641e5eee7d + .quad 0x2f50b81c88a71c8f + + // 2^60 * 7 * G + + .quad 0x31723c61fc6811bb + .quad 0x9cb450486211800f + .quad 0x768933d347995753 + .quad 0x3491a53502752fcd + .quad 0x2b552ca0a7da522a + .quad 0x3230b336449b0250 + .quad 0xf2c4c5bca4b99fb9 + .quad 0x7b2c674958074a22 + .quad 0xd55165883ed28cdf + .quad 0x12d84fd2d362de39 + .quad 0x0a874ad3e3378e4f + .quad 0x000d2b1f7c763e74 + + // 2^60 * 8 * G + + .quad 0x3d420811d06d4a67 + .quad 0xbefc048590e0ffe3 + .quad 0xf870c6b7bd487bde + .quad 0x6e2a7316319afa28 + .quad 0x9624778c3e94a8ab + .quad 0x0ad6f3cee9a78bec + .quad 0x948ac7810d743c4f + .quad 0x76627935aaecfccc + .quad 0x56a8ac24d6d59a9f + .quad 0xc8db753e3096f006 + .quad 0x477f41e68f4c5299 + .quad 0x588d851cf6c86114 + + // 2^64 * 1 * G + + .quad 0x51138ec78df6b0fe + .quad 0x5397da89e575f51b + .quad 0x09207a1d717af1b9 + .quad 0x2102fdba2b20d650 + .quad 0xcd2a65e777d1f515 + .quad 0x548991878faa60f1 + .quad 0xb1b73bbcdabc06e5 + .quad 0x654878cba97cc9fb + .quad 0x969ee405055ce6a1 + .quad 0x36bca7681251ad29 + .quad 0x3a1af517aa7da415 + .quad 0x0ad725db29ecb2ba + + // 2^64 * 2 * G + + .quad 0xdc4267b1834e2457 + .quad 0xb67544b570ce1bc5 + .quad 0x1af07a0bf7d15ed7 + .quad 0x4aefcffb71a03650 + .quad 0xfec7bc0c9b056f85 + .quad 0x537d5268e7f5ffd7 + .quad 0x77afc6624312aefa + .quad 0x4f675f5302399fd9 + .quad 0xc32d36360415171e + .quad 0xcd2bef118998483b + .quad 0x870a6eadd0945110 + .quad 0x0bccbb72a2a86561 + + // 2^64 * 3 * G + + .quad 0x185e962feab1a9c8 + .quad 0x86e7e63565147dcd + .quad 0xb092e031bb5b6df2 + .quad 0x4024f0ab59d6b73e + .quad 0x186d5e4c50fe1296 + .quad 0xe0397b82fee89f7e + .quad 0x3bc7f6c5507031b0 + .quad 0x6678fd69108f37c2 + .quad 0x1586fa31636863c2 + .quad 0x07f68c48572d33f2 + .quad 0x4f73cc9f789eaefc + .quad 0x2d42e2108ead4701 + + // 2^64 * 4 * G + + .quad 0x97f5131594dfd29b + .quad 0x6155985d313f4c6a + .quad 0xeba13f0708455010 + .quad 0x676b2608b8d2d322 + .quad 0x21717b0d0f537593 + .quad 0x914e690b131e064c + .quad 0x1bb687ae752ae09f + .quad 0x420bf3a79b423c6e + .quad 0x8138ba651c5b2b47 + .quad 0x8671b6ec311b1b80 + .quad 0x7bff0cb1bc3135b0 + .quad 0x745d2ffa9c0cf1e0 + + // 2^64 * 5 * G + + .quad 0xbf525a1e2bc9c8bd + .quad 0xea5b260826479d81 + .quad 0xd511c70edf0155db + .quad 0x1ae23ceb960cf5d0 + .quad 0x6036df5721d34e6a + .quad 0xb1db8827997bb3d0 + .quad 0xd3c209c3c8756afa + .quad 0x06e15be54c1dc839 + .quad 0x5b725d871932994a + .quad 0x32351cb5ceb1dab0 + .quad 0x7dc41549dab7ca05 + .quad 0x58ded861278ec1f7 + + // 2^64 * 6 * G + + .quad 0xd8173793f266c55c + .quad 0xc8c976c5cc454e49 + .quad 0x5ce382f8bc26c3a8 + .quad 0x2ff39de85485f6f9 + .quad 0x2dfb5ba8b6c2c9a8 + .quad 0x48eeef8ef52c598c + .quad 0x33809107f12d1573 + .quad 0x08ba696b531d5bd8 + .quad 0x77ed3eeec3efc57a + .quad 0x04e05517d4ff4811 + .quad 0xea3d7a3ff1a671cb + .quad 0x120633b4947cfe54 + + // 2^64 * 7 * G + + .quad 0x0b94987891610042 + .quad 0x4ee7b13cecebfae8 + .quad 0x70be739594f0a4c0 + .quad 0x35d30a99b4d59185 + .quad 0x82bd31474912100a + .quad 0xde237b6d7e6fbe06 + .quad 0xe11e761911ea79c6 + .quad 0x07433be3cb393bde + .quad 0xff7944c05ce997f4 + .quad 0x575d3de4b05c51a3 + .quad 0x583381fd5a76847c + .quad 0x2d873ede7af6da9f + + // 2^64 * 8 * G + + .quad 0x157a316443373409 + .quad 0xfab8b7eef4aa81d9 + .quad 0xb093fee6f5a64806 + .quad 0x2e773654707fa7b6 + .quad 0xaa6202e14e5df981 + .quad 0xa20d59175015e1f5 + .quad 0x18a275d3bae21d6c + .quad 0x0543618a01600253 + .quad 0x0deabdf4974c23c1 + .quad 0xaa6f0a259dce4693 + .quad 0x04202cb8a29aba2c + .quad 0x4b1443362d07960d + + // 2^68 * 1 * G + + .quad 0x47b837f753242cec + .quad 0x256dc48cc04212f2 + .quad 0xe222fbfbe1d928c5 + .quad 0x48ea295bad8a2c07 + .quad 0x299b1c3f57c5715e + .quad 0x96cb929e6b686d90 + .quad 0x3004806447235ab3 + .quad 0x2c435c24a44d9fe1 + .quad 0x0607c97c80f8833f + .quad 0x0e851578ca25ec5b + .quad 0x54f7450b161ebb6f + .quad 0x7bcb4792a0def80e + + // 2^68 * 2 * G + + .quad 0x8487e3d02bc73659 + .quad 0x4baf8445059979df + .quad 0xd17c975adcad6fbf + .quad 0x57369f0bdefc96b6 + .quad 0x1cecd0a0045224c2 + .quad 0x757f1b1b69e53952 + .quad 0x775b7a925289f681 + .quad 0x1b6cc62016736148 + .quad 0xf1a9990175638698 + .quad 0x353dd1beeeaa60d3 + .quad 0x849471334c9ba488 + .quad 0x63fa6e6843ade311 + + // 2^68 * 3 * G + + .quad 0xd15c20536597c168 + .quad 0x9f73740098d28789 + .quad 0x18aee7f13257ba1f + .quad 0x3418bfda07346f14 + .quad 0x2195becdd24b5eb7 + .quad 0x5e41f18cc0cd44f9 + .quad 0xdf28074441ca9ede + .quad 0x07073b98f35b7d67 + .quad 0xd03c676c4ce530d4 + .quad 0x0b64c0473b5df9f4 + .quad 0x065cef8b19b3a31e + .quad 0x3084d661533102c9 + + // 2^68 * 4 * G + + .quad 0xe1f6b79ebf8469ad + .quad 0x15801004e2663135 + .quad 0x9a498330af74181b + .quad 0x3ba2504f049b673c + .quad 0x9a6ce876760321fd + .quad 0x7fe2b5109eb63ad8 + .quad 0x00e7d4ae8ac80592 + .quad 0x73d86b7abb6f723a + .quad 0x0b52b5606dba5ab6 + .quad 0xa9134f0fbbb1edab + .quad 0x30a9520d9b04a635 + .quad 0x6813b8f37973e5db + + // 2^68 * 5 * G + + .quad 0x9854b054334127c1 + .quad 0x105d047882fbff25 + .quad 0xdb49f7f944186f4f + .quad 0x1768e838bed0b900 + .quad 0xf194ca56f3157e29 + .quad 0x136d35705ef528a5 + .quad 0xdd4cef778b0599bc + .quad 0x7d5472af24f833ed + .quad 0xd0ef874daf33da47 + .quad 0x00d3be5db6e339f9 + .quad 0x3f2a8a2f9c9ceece + .quad 0x5d1aeb792352435a + + // 2^68 * 6 * G + + .quad 0xf59e6bb319cd63ca + .quad 0x670c159221d06839 + .quad 0xb06d565b2150cab6 + .quad 0x20fb199d104f12a3 + .quad 0x12c7bfaeb61ba775 + .quad 0xb84e621fe263bffd + .quad 0x0b47a5c35c840dcf + .quad 0x7e83be0bccaf8634 + .quad 0x61943dee6d99c120 + .quad 0x86101f2e460b9fe0 + .quad 0x6bb2f1518ee8598d + .quad 0x76b76289fcc475cc + + // 2^68 * 7 * G + + .quad 0x791b4cc1756286fa + .quad 0xdbced317d74a157c + .quad 0x7e732421ea72bde6 + .quad 0x01fe18491131c8e9 + .quad 0x4245f1a1522ec0b3 + .quad 0x558785b22a75656d + .quad 0x1d485a2548a1b3c0 + .quad 0x60959eccd58fe09f + .quad 0x3ebfeb7ba8ed7a09 + .quad 0x49fdc2bbe502789c + .quad 0x44ebce5d3c119428 + .quad 0x35e1eb55be947f4a + + // 2^68 * 8 * G + + .quad 0xdbdae701c5738dd3 + .quad 0xf9c6f635b26f1bee + .quad 0x61e96a8042f15ef4 + .quad 0x3aa1d11faf60a4d8 + .quad 0x14fd6dfa726ccc74 + .quad 0x3b084cfe2f53b965 + .quad 0xf33ae4f552a2c8b4 + .quad 0x59aab07a0d40166a + .quad 0x77bcec4c925eac25 + .quad 0x1848718460137738 + .quad 0x5b374337fea9f451 + .quad 0x1865e78ec8e6aa46 + + // 2^72 * 1 * G + + .quad 0xccc4b7c7b66e1f7a + .quad 0x44157e25f50c2f7e + .quad 0x3ef06dfc713eaf1c + .quad 0x582f446752da63f7 + .quad 0x967c54e91c529ccb + .quad 0x30f6269264c635fb + .quad 0x2747aff478121965 + .quad 0x17038418eaf66f5c + .quad 0xc6317bd320324ce4 + .quad 0xa81042e8a4488bc4 + .quad 0xb21ef18b4e5a1364 + .quad 0x0c2a1c4bcda28dc9 + + // 2^72 * 2 * G + + .quad 0xd24dc7d06f1f0447 + .quad 0xb2269e3edb87c059 + .quad 0xd15b0272fbb2d28f + .quad 0x7c558bd1c6f64877 + .quad 0xedc4814869bd6945 + .quad 0x0d6d907dbe1c8d22 + .quad 0xc63bd212d55cc5ab + .quad 0x5a6a9b30a314dc83 + .quad 0xd0ec1524d396463d + .quad 0x12bb628ac35a24f0 + .quad 0xa50c3a791cbc5fa4 + .quad 0x0404a5ca0afbafc3 + + // 2^72 * 3 * G + + .quad 0x8c1f40070aa743d6 + .quad 0xccbad0cb5b265ee8 + .quad 0x574b046b668fd2de + .quad 0x46395bfdcadd9633 + .quad 0x62bc9e1b2a416fd1 + .quad 0xb5c6f728e350598b + .quad 0x04343fd83d5d6967 + .quad 0x39527516e7f8ee98 + .quad 0x117fdb2d1a5d9a9c + .quad 0x9c7745bcd1005c2a + .quad 0xefd4bef154d56fea + .quad 0x76579a29e822d016 + + // 2^72 * 4 * G + + .quad 0x45b68e7e49c02a17 + .quad 0x23cd51a2bca9a37f + .quad 0x3ed65f11ec224c1b + .quad 0x43a384dc9e05bdb1 + .quad 0x333cb51352b434f2 + .quad 0xd832284993de80e1 + .quad 0xb5512887750d35ce + .quad 0x02c514bb2a2777c1 + .quad 0x684bd5da8bf1b645 + .quad 0xfb8bd37ef6b54b53 + .quad 0x313916d7a9b0d253 + .quad 0x1160920961548059 + + // 2^72 * 5 * G + + .quad 0xb44d166929dacfaa + .quad 0xda529f4c8413598f + .quad 0xe9ef63ca453d5559 + .quad 0x351e125bc5698e0b + .quad 0x7a385616369b4dcd + .quad 0x75c02ca7655c3563 + .quad 0x7dc21bf9d4f18021 + .quad 0x2f637d7491e6e042 + .quad 0xd4b49b461af67bbe + .quad 0xd603037ac8ab8961 + .quad 0x71dee19ff9a699fb + .quad 0x7f182d06e7ce2a9a + + // 2^72 * 6 * G + + .quad 0x7a7c8e64ab0168ec + .quad 0xcb5a4a5515edc543 + .quad 0x095519d347cd0eda + .quad 0x67d4ac8c343e93b0 + .quad 0x09454b728e217522 + .quad 0xaa58e8f4d484b8d8 + .quad 0xd358254d7f46903c + .quad 0x44acc043241c5217 + .quad 0x1c7d6bbb4f7a5777 + .quad 0x8b35fed4918313e1 + .quad 0x4adca1c6c96b4684 + .quad 0x556d1c8312ad71bd + + // 2^72 * 7 * G + + .quad 0x17ef40e30c8d3982 + .quad 0x31f7073e15a3fa34 + .quad 0x4f21f3cb0773646e + .quad 0x746c6c6d1d824eff + .quad 0x81f06756b11be821 + .quad 0x0faff82310a3f3dd + .quad 0xf8b2d0556a99465d + .quad 0x097abe38cc8c7f05 + .quad 0x0c49c9877ea52da4 + .quad 0x4c4369559bdc1d43 + .quad 0x022c3809f7ccebd2 + .quad 0x577e14a34bee84bd + + // 2^72 * 8 * G + + .quad 0xf0e268ac61a73b0a + .quad 0xf2fafa103791a5f5 + .quad 0xc1e13e826b6d00e9 + .quad 0x60fa7ee96fd78f42 + .quad 0x94fecebebd4dd72b + .quad 0xf46a4fda060f2211 + .quad 0x124a5977c0c8d1ff + .quad 0x705304b8fb009295 + .quad 0xb63d1d354d296ec6 + .quad 0xf3c3053e5fad31d8 + .quad 0x670b958cb4bd42ec + .quad 0x21398e0ca16353fd + + // 2^76 * 1 * G + + .quad 0x216ab2ca8da7d2ef + .quad 0x366ad9dd99f42827 + .quad 0xae64b9004fdd3c75 + .quad 0x403a395b53909e62 + .quad 0x86c5fc16861b7e9a + .quad 0xf6a330476a27c451 + .quad 0x01667267a1e93597 + .quad 0x05ffb9cd6082dfeb + .quad 0xa617fa9ff53f6139 + .quad 0x60f2b5e513e66cb6 + .quad 0xd7a8beefb3448aa4 + .quad 0x7a2932856f5ea192 + + // 2^76 * 2 * G + + .quad 0x0b39d761b02de888 + .quad 0x5f550e7ed2414e1f + .quad 0xa6bfa45822e1a940 + .quad 0x050a2f7dfd447b99 + .quad 0xb89c444879639302 + .quad 0x4ae4f19350c67f2c + .quad 0xf0b35da8c81af9c6 + .quad 0x39d0003546871017 + .quad 0x437c3b33a650db77 + .quad 0x6bafe81dbac52bb2 + .quad 0xfe99402d2db7d318 + .quad 0x2b5b7eec372ba6ce + + // 2^76 * 3 * G + + .quad 0xb3bc4bbd83f50eef + .quad 0x508f0c998c927866 + .quad 0x43e76587c8b7e66e + .quad 0x0f7655a3a47f98d9 + .quad 0xa694404d613ac8f4 + .quad 0x500c3c2bfa97e72c + .quad 0x874104d21fcec210 + .quad 0x1b205fb38604a8ee + .quad 0x55ecad37d24b133c + .quad 0x441e147d6038c90b + .quad 0x656683a1d62c6fee + .quad 0x0157d5dc87e0ecae + + // 2^76 * 4 * G + + .quad 0xf2a7af510354c13d + .quad 0xd7a0b145aa372b60 + .quad 0x2869b96a05a3d470 + .quad 0x6528e42d82460173 + .quad 0x95265514d71eb524 + .quad 0xe603d8815df14593 + .quad 0x147cdf410d4de6b7 + .quad 0x5293b1730437c850 + .quad 0x23d0e0814bccf226 + .quad 0x92c745cd8196fb93 + .quad 0x8b61796c59541e5b + .quad 0x40a44df0c021f978 + + // 2^76 * 5 * G + + .quad 0xdaa869894f20ea6a + .quad 0xea14a3d14c620618 + .quad 0x6001fccb090bf8be + .quad 0x35f4e822947e9cf0 + .quad 0x86c96e514bc5d095 + .quad 0xf20d4098fca6804a + .quad 0x27363d89c826ea5d + .quad 0x39ca36565719cacf + .quad 0x97506f2f6f87b75c + .quad 0xc624aea0034ae070 + .quad 0x1ec856e3aad34dd6 + .quad 0x055b0be0e440e58f + + // 2^76 * 6 * G + + .quad 0x6469a17d89735d12 + .quad 0xdb6f27d5e662b9f1 + .quad 0x9fcba3286a395681 + .quad 0x363b8004d269af25 + .quad 0x4d12a04b6ea33da2 + .quad 0x57cf4c15e36126dd + .quad 0x90ec9675ee44d967 + .quad 0x64ca348d2a985aac + .quad 0x99588e19e4c4912d + .quad 0xefcc3b4e1ca5ce6b + .quad 0x4522ea60fa5b98d5 + .quad 0x7064bbab1de4a819 + + // 2^76 * 7 * G + + .quad 0xb919e1515a770641 + .quad 0xa9a2e2c74e7f8039 + .quad 0x7527250b3df23109 + .quad 0x756a7330ac27b78b + .quad 0xa290c06142542129 + .quad 0xf2e2c2aebe8d5b90 + .quad 0xcf2458db76abfe1b + .quad 0x02157ade83d626bf + .quad 0x3e46972a1b9a038b + .quad 0x2e4ee66a7ee03fb4 + .quad 0x81a248776edbb4ca + .quad 0x1a944ee88ecd0563 + + // 2^76 * 8 * G + + .quad 0xd5a91d1151039372 + .quad 0x2ed377b799ca26de + .quad 0xa17202acfd366b6b + .quad 0x0730291bd6901995 + .quad 0xbb40a859182362d6 + .quad 0xb99f55778a4d1abb + .quad 0x8d18b427758559f6 + .quad 0x26c20fe74d26235a + .quad 0x648d1d9fe9cc22f5 + .quad 0x66bc561928dd577c + .quad 0x47d3ed21652439d1 + .quad 0x49d271acedaf8b49 + + // 2^80 * 1 * G + + .quad 0x89f5058a382b33f3 + .quad 0x5ae2ba0bad48c0b4 + .quad 0x8f93b503a53db36e + .quad 0x5aa3ed9d95a232e6 + .quad 0x2798aaf9b4b75601 + .quad 0x5eac72135c8dad72 + .quad 0xd2ceaa6161b7a023 + .quad 0x1bbfb284e98f7d4e + .quad 0x656777e9c7d96561 + .quad 0xcb2b125472c78036 + .quad 0x65053299d9506eee + .quad 0x4a07e14e5e8957cc + + // 2^80 * 2 * G + + .quad 0x4ee412cb980df999 + .quad 0xa315d76f3c6ec771 + .quad 0xbba5edde925c77fd + .quad 0x3f0bac391d313402 + .quad 0x240b58cdc477a49b + .quad 0xfd38dade6447f017 + .quad 0x19928d32a7c86aad + .quad 0x50af7aed84afa081 + .quad 0x6e4fde0115f65be5 + .quad 0x29982621216109b2 + .quad 0x780205810badd6d9 + .quad 0x1921a316baebd006 + + // 2^80 * 3 * G + + .quad 0x89422f7edfb870fc + .quad 0x2c296beb4f76b3bd + .quad 0x0738f1d436c24df7 + .quad 0x6458df41e273aeb0 + .quad 0xd75aad9ad9f3c18b + .quad 0x566a0eef60b1c19c + .quad 0x3e9a0bac255c0ed9 + .quad 0x7b049deca062c7f5 + .quad 0xdccbe37a35444483 + .quad 0x758879330fedbe93 + .quad 0x786004c312c5dd87 + .quad 0x6093dccbc2950e64 + + // 2^80 * 4 * G + + .quad 0x1ff39a8585e0706d + .quad 0x36d0a5d8b3e73933 + .quad 0x43b9f2e1718f453b + .quad 0x57d1ea084827a97c + .quad 0x6bdeeebe6084034b + .quad 0x3199c2b6780fb854 + .quad 0x973376abb62d0695 + .quad 0x6e3180c98b647d90 + .quad 0xee7ab6e7a128b071 + .quad 0xa4c1596d93a88baa + .quad 0xf7b4de82b2216130 + .quad 0x363e999ddd97bd18 + + // 2^80 * 5 * G + + .quad 0x96a843c135ee1fc4 + .quad 0x976eb35508e4c8cf + .quad 0xb42f6801b58cd330 + .quad 0x48ee9b78693a052b + .quad 0x2f1848dce24baec6 + .quad 0x769b7255babcaf60 + .quad 0x90cb3c6e3cefe931 + .quad 0x231f979bc6f9b355 + .quad 0x5c31de4bcc2af3c6 + .quad 0xb04bb030fe208d1f + .quad 0xb78d7009c14fb466 + .quad 0x079bfa9b08792413 + + // 2^80 * 6 * G + + .quad 0xe3903a51da300df4 + .quad 0x843964233da95ab0 + .quad 0xed3cf12d0b356480 + .quad 0x038c77f684817194 + .quad 0xf3c9ed80a2d54245 + .quad 0x0aa08b7877f63952 + .quad 0xd76dac63d1085475 + .quad 0x1ef4fb159470636b + .quad 0x854e5ee65b167bec + .quad 0x59590a4296d0cdc2 + .quad 0x72b2df3498102199 + .quad 0x575ee92a4a0bff56 + + // 2^80 * 7 * G + + .quad 0xd4c080908a182fcf + .quad 0x30e170c299489dbd + .quad 0x05babd5752f733de + .quad 0x43d4e7112cd3fd00 + .quad 0x5d46bc450aa4d801 + .quad 0xc3af1227a533b9d8 + .quad 0x389e3b262b8906c2 + .quad 0x200a1e7e382f581b + .quad 0x518db967eaf93ac5 + .quad 0x71bc989b056652c0 + .quad 0xfe2b85d9567197f5 + .quad 0x050eca52651e4e38 + + // 2^80 * 8 * G + + .quad 0xc3431ade453f0c9c + .quad 0xe9f5045eff703b9b + .quad 0xfcd97ac9ed847b3d + .quad 0x4b0ee6c21c58f4c6 + .quad 0x97ac397660e668ea + .quad 0x9b19bbfe153ab497 + .quad 0x4cb179b534eca79f + .quad 0x6151c09fa131ae57 + .quad 0x3af55c0dfdf05d96 + .quad 0xdd262ee02ab4ee7a + .quad 0x11b2bb8712171709 + .quad 0x1fef24fa800f030b + + // 2^84 * 1 * G + + .quad 0xb496123a6b6c6609 + .quad 0xa750fe8580ab5938 + .quad 0xf471bf39b7c27a5f + .quad 0x507903ce77ac193c + .quad 0xff91a66a90166220 + .quad 0xf22552ae5bf1e009 + .quad 0x7dff85d87f90df7c + .quad 0x4f620ffe0c736fb9 + .quad 0x62f90d65dfde3e34 + .quad 0xcf28c592b9fa5fad + .quad 0x99c86ef9c6164510 + .quad 0x25d448044a256c84 + + // 2^84 * 2 * G + + .quad 0xbd68230ec7e9b16f + .quad 0x0eb1b9c1c1c5795d + .quad 0x7943c8c495b6b1ff + .quad 0x2f9faf620bbacf5e + .quad 0x2c7c4415c9022b55 + .quad 0x56a0d241812eb1fe + .quad 0xf02ea1c9d7b65e0d + .quad 0x4180512fd5323b26 + .quad 0xa4ff3e698a48a5db + .quad 0xba6a3806bd95403b + .quad 0x9f7ce1af47d5b65d + .quad 0x15e087e55939d2fb + + // 2^84 * 3 * G + + .quad 0x12207543745c1496 + .quad 0xdaff3cfdda38610c + .quad 0xe4e797272c71c34f + .quad 0x39c07b1934bdede9 + .quad 0x8894186efb963f38 + .quad 0x48a00e80dc639bd5 + .quad 0xa4e8092be96c1c99 + .quad 0x5a097d54ca573661 + .quad 0x2d45892b17c9e755 + .quad 0xd033fd7289308df8 + .quad 0x6c2fe9d9525b8bd9 + .quad 0x2edbecf1c11cc079 + + // 2^84 * 4 * G + + .quad 0x1616a4e3c715a0d2 + .quad 0x53623cb0f8341d4d + .quad 0x96ef5329c7e899cb + .quad 0x3d4e8dbba668baa6 + .quad 0xee0f0fddd087a25f + .quad 0x9c7531555c3e34ee + .quad 0x660c572e8fab3ab5 + .quad 0x0854fc44544cd3b2 + .quad 0x61eba0c555edad19 + .quad 0x24b533fef0a83de6 + .quad 0x3b77042883baa5f8 + .quad 0x678f82b898a47e8d + + // 2^84 * 5 * G + + .quad 0xb1491d0bd6900c54 + .quad 0x3539722c9d132636 + .quad 0x4db928920b362bc9 + .quad 0x4d7cd1fea68b69df + .quad 0x1e09d94057775696 + .quad 0xeed1265c3cd951db + .quad 0xfa9dac2b20bce16f + .quad 0x0f7f76e0e8d089f4 + .quad 0x36d9ebc5d485b00c + .quad 0xa2596492e4adb365 + .quad 0xc1659480c2119ccd + .quad 0x45306349186e0d5f + + // 2^84 * 6 * G + + .quad 0x94ddd0c1a6cdff1d + .quad 0x55f6f115e84213ae + .quad 0x6c935f85992fcf6a + .quad 0x067ee0f54a37f16f + .quad 0x96a414ec2b072491 + .quad 0x1bb2218127a7b65b + .quad 0x6d2849596e8a4af0 + .quad 0x65f3b08ccd27765f + .quad 0xecb29fff199801f7 + .quad 0x9d361d1fa2a0f72f + .quad 0x25f11d2375fd2f49 + .quad 0x124cefe80fe10fe2 + + // 2^84 * 7 * G + + .quad 0x4c126cf9d18df255 + .quad 0xc1d471e9147a63b6 + .quad 0x2c6d3c73f3c93b5f + .quad 0x6be3a6a2e3ff86a2 + .quad 0x1518e85b31b16489 + .quad 0x8faadcb7db710bfb + .quad 0x39b0bdf4a14ae239 + .quad 0x05f4cbea503d20c1 + .quad 0xce040e9ec04145bc + .quad 0xc71ff4e208f6834c + .quad 0xbd546e8dab8847a3 + .quad 0x64666aa0a4d2aba5 + + // 2^84 * 8 * G + + .quad 0x6841435a7c06d912 + .quad 0xca123c21bb3f830b + .quad 0xd4b37b27b1cbe278 + .quad 0x1d753b84c76f5046 + .quad 0xb0c53bf73337e94c + .quad 0x7cb5697e11e14f15 + .quad 0x4b84abac1930c750 + .quad 0x28dd4abfe0640468 + .quad 0x7dc0b64c44cb9f44 + .quad 0x18a3e1ace3925dbf + .quad 0x7a3034862d0457c4 + .quad 0x4c498bf78a0c892e + + // 2^88 * 1 * G + + .quad 0x37d653fb1aa73196 + .quad 0x0f9495303fd76418 + .quad 0xad200b09fb3a17b2 + .quad 0x544d49292fc8613e + .quad 0x22d2aff530976b86 + .quad 0x8d90b806c2d24604 + .quad 0xdca1896c4de5bae5 + .quad 0x28005fe6c8340c17 + .quad 0x6aefba9f34528688 + .quad 0x5c1bff9425107da1 + .quad 0xf75bbbcd66d94b36 + .quad 0x72e472930f316dfa + + // 2^88 * 2 * G + + .quad 0x2695208c9781084f + .quad 0xb1502a0b23450ee1 + .quad 0xfd9daea603efde02 + .quad 0x5a9d2e8c2733a34c + .quad 0x07f3f635d32a7627 + .quad 0x7aaa4d865f6566f0 + .quad 0x3c85e79728d04450 + .quad 0x1fee7f000fe06438 + .quad 0x765305da03dbf7e5 + .quad 0xa4daf2491434cdbd + .quad 0x7b4ad5cdd24a88ec + .quad 0x00f94051ee040543 + + // 2^88 * 3 * G + + .quad 0x8d356b23c3d330b2 + .quad 0xf21c8b9bb0471b06 + .quad 0xb36c316c6e42b83c + .quad 0x07d79c7e8beab10d + .quad 0xd7ef93bb07af9753 + .quad 0x583ed0cf3db766a7 + .quad 0xce6998bf6e0b1ec5 + .quad 0x47b7ffd25dd40452 + .quad 0x87fbfb9cbc08dd12 + .quad 0x8a066b3ae1eec29b + .quad 0x0d57242bdb1fc1bf + .quad 0x1c3520a35ea64bb6 + + // 2^88 * 4 * G + + .quad 0x80d253a6bccba34a + .quad 0x3e61c3a13838219b + .quad 0x90c3b6019882e396 + .quad 0x1c3d05775d0ee66f + .quad 0xcda86f40216bc059 + .quad 0x1fbb231d12bcd87e + .quad 0xb4956a9e17c70990 + .quad 0x38750c3b66d12e55 + .quad 0x692ef1409422e51a + .quad 0xcbc0c73c2b5df671 + .quad 0x21014fe7744ce029 + .quad 0x0621e2c7d330487c + + // 2^88 * 5 * G + + .quad 0xaf9860cc8259838d + .quad 0x90ea48c1c69f9adc + .quad 0x6526483765581e30 + .quad 0x0007d6097bd3a5bc + .quad 0xb7ae1796b0dbf0f3 + .quad 0x54dfafb9e17ce196 + .quad 0x25923071e9aaa3b4 + .quad 0x5d8e589ca1002e9d + .quad 0xc0bf1d950842a94b + .quad 0xb2d3c363588f2e3e + .quad 0x0a961438bb51e2ef + .quad 0x1583d7783c1cbf86 + + // 2^88 * 6 * G + + .quad 0xeceea2ef5da27ae1 + .quad 0x597c3a1455670174 + .quad 0xc9a62a126609167a + .quad 0x252a5f2e81ed8f70 + .quad 0x90034704cc9d28c7 + .quad 0x1d1b679ef72cc58f + .quad 0x16e12b5fbe5b8726 + .quad 0x4958064e83c5580a + .quad 0x0d2894265066e80d + .quad 0xfcc3f785307c8c6b + .quad 0x1b53da780c1112fd + .quad 0x079c170bd843b388 + + // 2^88 * 7 * G + + .quad 0x0506ece464fa6fff + .quad 0xbee3431e6205e523 + .quad 0x3579422451b8ea42 + .quad 0x6dec05e34ac9fb00 + .quad 0xcdd6cd50c0d5d056 + .quad 0x9af7686dbb03573b + .quad 0x3ca6723ff3c3ef48 + .quad 0x6768c0d7317b8acc + .quad 0x94b625e5f155c1b3 + .quad 0x417bf3a7997b7b91 + .quad 0xc22cbddc6d6b2600 + .quad 0x51445e14ddcd52f4 + + // 2^88 * 8 * G + + .quad 0x57502b4b3b144951 + .quad 0x8e67ff6b444bbcb3 + .quad 0xb8bd6927166385db + .quad 0x13186f31e39295c8 + .quad 0x893147ab2bbea455 + .quad 0x8c53a24f92079129 + .quad 0x4b49f948be30f7a7 + .quad 0x12e990086e4fd43d + .quad 0xf10c96b37fdfbb2e + .quad 0x9f9a935e121ceaf9 + .quad 0xdf1136c43a5b983f + .quad 0x77b2e3f05d3e99af + + // 2^92 * 1 * G + + .quad 0xfd0d75879cf12657 + .quad 0xe82fef94e53a0e29 + .quad 0xcc34a7f05bbb4be7 + .quad 0x0b251172a50c38a2 + .quad 0x9532f48fcc5cd29b + .quad 0x2ba851bea3ce3671 + .quad 0x32dacaa051122941 + .quad 0x478d99d9350004f2 + .quad 0x1d5ad94890bb02c0 + .quad 0x50e208b10ec25115 + .quad 0xa26a22894ef21702 + .quad 0x4dc923343b524805 + + // 2^92 * 2 * G + + .quad 0xe3828c400f8086b6 + .quad 0x3f77e6f7979f0dc8 + .quad 0x7ef6de304df42cb4 + .quad 0x5265797cb6abd784 + .quad 0x3ad3e3ebf36c4975 + .quad 0xd75d25a537862125 + .quad 0xe873943da025a516 + .quad 0x6bbc7cb4c411c847 + .quad 0x3c6f9cd1d4a50d56 + .quad 0xb6244077c6feab7e + .quad 0x6ff9bf483580972e + .quad 0x00375883b332acfb + + // 2^92 * 3 * G + + .quad 0x0001b2cd28cb0940 + .quad 0x63fb51a06f1c24c9 + .quad 0xb5ad8691dcd5ca31 + .quad 0x67238dbd8c450660 + .quad 0xc98bec856c75c99c + .quad 0xe44184c000e33cf4 + .quad 0x0a676b9bba907634 + .quad 0x669e2cb571f379d7 + .quad 0xcb116b73a49bd308 + .quad 0x025aad6b2392729e + .quad 0xb4793efa3f55d9b1 + .quad 0x72a1056140678bb9 + + // 2^92 * 4 * G + + .quad 0xa2b6812b1cc9249d + .quad 0x62866eee21211f58 + .quad 0x2cb5c5b85df10ece + .quad 0x03a6b259e263ae00 + .quad 0x0d8d2909e2e505b6 + .quad 0x98ca78abc0291230 + .quad 0x77ef5569a9b12327 + .quad 0x7c77897b81439b47 + .quad 0xf1c1b5e2de331cb5 + .quad 0x5a9f5d8e15fca420 + .quad 0x9fa438f17bd932b1 + .quad 0x2a381bf01c6146e7 + + // 2^92 * 5 * G + + .quad 0xac9b9879cfc811c1 + .quad 0x8b7d29813756e567 + .quad 0x50da4e607c70edfc + .quad 0x5dbca62f884400b6 + .quad 0xf7c0be32b534166f + .quad 0x27e6ca6419cf70d4 + .quad 0x934df7d7a957a759 + .quad 0x5701461dabdec2aa + .quad 0x2c6747402c915c25 + .quad 0x1bdcd1a80b0d340a + .quad 0x5e5601bd07b43f5f + .quad 0x2555b4e05539a242 + + // 2^92 * 6 * G + + .quad 0x6fc09f5266ddd216 + .quad 0xdce560a7c8e37048 + .quad 0xec65939da2df62fd + .quad 0x7a869ae7e52ed192 + .quad 0x78409b1d87e463d4 + .quad 0xad4da95acdfb639d + .quad 0xec28773755259b9c + .quad 0x69c806e9c31230ab + .quad 0x7b48f57414bb3f22 + .quad 0x68c7cee4aedccc88 + .quad 0xed2f936179ed80be + .quad 0x25d70b885f77bc4b + + // 2^92 * 7 * G + + .quad 0x4151c3d9762bf4de + .quad 0x083f435f2745d82b + .quad 0x29775a2e0d23ddd5 + .quad 0x138e3a6269a5db24 + .quad 0x98459d29bb1ae4d4 + .quad 0x56b9c4c739f954ec + .quad 0x832743f6c29b4b3e + .quad 0x21ea8e2798b6878a + .quad 0x87bef4b46a5a7b9c + .quad 0xd2299d1b5fc1d062 + .quad 0x82409818dd321648 + .quad 0x5c5abeb1e5a2e03d + + // 2^92 * 8 * G + + .quad 0x14722af4b73c2ddb + .quad 0xbc470c5f5a05060d + .quad 0x00943eac2581b02e + .quad 0x0e434b3b1f499c8f + .quad 0x02cde6de1306a233 + .quad 0x7b5a52a2116f8ec7 + .quad 0xe1c681f4c1163b5b + .quad 0x241d350660d32643 + .quad 0x6be4404d0ebc52c7 + .quad 0xae46233bb1a791f5 + .quad 0x2aec170ed25db42b + .quad 0x1d8dfd966645d694 + + // 2^96 * 1 * G + + .quad 0x296fa9c59c2ec4de + .quad 0xbc8b61bf4f84f3cb + .quad 0x1c7706d917a8f908 + .quad 0x63b795fc7ad3255d + .quad 0xd598639c12ddb0a4 + .quad 0xa5d19f30c024866b + .quad 0xd17c2f0358fce460 + .quad 0x07a195152e095e8a + .quad 0xa8368f02389e5fc8 + .quad 0x90433b02cf8de43b + .quad 0xafa1fd5dc5412643 + .quad 0x3e8fe83d032f0137 + + // 2^96 * 2 * G + + .quad 0x2f8b15b90570a294 + .quad 0x94f2427067084549 + .quad 0xde1c5ae161bbfd84 + .quad 0x75ba3b797fac4007 + .quad 0x08704c8de8efd13c + .quad 0xdfc51a8e33e03731 + .quad 0xa59d5da51260cde3 + .quad 0x22d60899a6258c86 + .quad 0x6239dbc070cdd196 + .quad 0x60fe8a8b6c7d8a9a + .quad 0xb38847bceb401260 + .quad 0x0904d07b87779e5e + + // 2^96 * 3 * G + + .quad 0xb4ce1fd4ddba919c + .quad 0xcf31db3ec74c8daa + .quad 0x2c63cc63ad86cc51 + .quad 0x43e2143fbc1dde07 + .quad 0xf4322d6648f940b9 + .quad 0x06952f0cbd2d0c39 + .quad 0x167697ada081f931 + .quad 0x6240aacebaf72a6c + .quad 0xf834749c5ba295a0 + .quad 0xd6947c5bca37d25a + .quad 0x66f13ba7e7c9316a + .quad 0x56bdaf238db40cac + + // 2^96 * 4 * G + + .quad 0x362ab9e3f53533eb + .quad 0x338568d56eb93d40 + .quad 0x9e0e14521d5a5572 + .quad 0x1d24a86d83741318 + .quad 0x1310d36cc19d3bb2 + .quad 0x062a6bb7622386b9 + .quad 0x7c9b8591d7a14f5c + .quad 0x03aa31507e1e5754 + .quad 0xf4ec7648ffd4ce1f + .quad 0xe045eaf054ac8c1c + .quad 0x88d225821d09357c + .quad 0x43b261dc9aeb4859 + + // 2^96 * 5 * G + + .quad 0xe55b1e1988bb79bb + .quad 0xa09ed07dc17a359d + .quad 0xb02c2ee2603dea33 + .quad 0x326055cf5b276bc2 + .quad 0x19513d8b6c951364 + .quad 0x94fe7126000bf47b + .quad 0x028d10ddd54f9567 + .quad 0x02b4d5e242940964 + .quad 0xb4a155cb28d18df2 + .quad 0xeacc4646186ce508 + .quad 0xc49cf4936c824389 + .quad 0x27a6c809ae5d3410 + + // 2^96 * 6 * G + + .quad 0x8ba6ebcd1f0db188 + .quad 0x37d3d73a675a5be8 + .quad 0xf22edfa315f5585a + .quad 0x2cb67174ff60a17e + .quad 0xcd2c270ac43d6954 + .quad 0xdd4a3e576a66cab2 + .quad 0x79fa592469d7036c + .quad 0x221503603d8c2599 + .quad 0x59eecdf9390be1d0 + .quad 0xa9422044728ce3f1 + .quad 0x82891c667a94f0f4 + .quad 0x7b1df4b73890f436 + + // 2^96 * 7 * G + + .quad 0xe492f2e0b3b2a224 + .quad 0x7c6c9e062b551160 + .quad 0x15eb8fe20d7f7b0e + .quad 0x61fcef2658fc5992 + .quad 0x5f2e221807f8f58c + .quad 0xe3555c9fd49409d4 + .quad 0xb2aaa88d1fb6a630 + .quad 0x68698245d352e03d + .quad 0xdbb15d852a18187a + .quad 0xf3e4aad386ddacd7 + .quad 0x44bae2810ff6c482 + .quad 0x46cf4c473daf01cf + + // 2^96 * 8 * G + + .quad 0x426525ed9ec4e5f9 + .quad 0x0e5eda0116903303 + .quad 0x72b1a7f2cbe5cadc + .quad 0x29387bcd14eb5f40 + .quad 0x213c6ea7f1498140 + .quad 0x7c1e7ef8392b4854 + .quad 0x2488c38c5629ceba + .quad 0x1065aae50d8cc5bb + .quad 0x1c2c4525df200d57 + .quad 0x5c3b2dd6bfca674a + .quad 0x0a07e7b1e1834030 + .quad 0x69a198e64f1ce716 + + // 2^100 * 1 * G + + .quad 0x7afcd613efa9d697 + .quad 0x0cc45aa41c067959 + .quad 0xa56fe104c1fada96 + .quad 0x3a73b70472e40365 + .quad 0x7b26e56b9e2d4734 + .quad 0xc4c7132b81c61675 + .quad 0xef5c9525ec9cde7f + .quad 0x39c80b16e71743ad + .quad 0x0f196e0d1b826c68 + .quad 0xf71ff0e24960e3db + .quad 0x6113167023b7436c + .quad 0x0cf0ea5877da7282 + + // 2^100 * 2 * G + + .quad 0x196c80a4ddd4ccbd + .quad 0x22e6f55d95f2dd9d + .quad 0xc75e33c740d6c71b + .quad 0x7bb51279cb3c042f + .quad 0xe332ced43ba6945a + .quad 0xde0b1361e881c05d + .quad 0x1ad40f095e67ed3b + .quad 0x5da8acdab8c63d5d + .quad 0xc4b6664a3a70159f + .quad 0x76194f0f0a904e14 + .quad 0xa5614c39a4096c13 + .quad 0x6cd0ff50979feced + + // 2^100 * 3 * G + + .quad 0xc0e067e78f4428ac + .quad 0x14835ab0a61135e3 + .quad 0xf21d14f338062935 + .quad 0x6390a4c8df04849c + .quad 0x7fecfabdb04ba18e + .quad 0xd0fc7bfc3bddbcf7 + .quad 0xa41d486e057a131c + .quad 0x641a4391f2223a61 + .quad 0xc5c6b95aa606a8db + .quad 0x914b7f9eb06825f1 + .quad 0x2a731f6b44fc9eff + .quad 0x30ddf38562705cfc + + // 2^100 * 4 * G + + .quad 0x4e3dcbdad1bff7f9 + .quad 0xc9118e8220645717 + .quad 0xbacccebc0f189d56 + .quad 0x1b4822e9d4467668 + .quad 0x33bef2bd68bcd52c + .quad 0xc649dbb069482ef2 + .quad 0xb5b6ee0c41cb1aee + .quad 0x5c294d270212a7e5 + .quad 0xab360a7f25563781 + .quad 0x2512228a480f7958 + .quad 0xc75d05276114b4e3 + .quad 0x222d9625d976fe2a + + // 2^100 * 5 * G + + .quad 0x1c717f85b372ace1 + .quad 0x81930e694638bf18 + .quad 0x239cad056bc08b58 + .quad 0x0b34271c87f8fff4 + .quad 0x0f94be7e0a344f85 + .quad 0xeb2faa8c87f22c38 + .quad 0x9ce1e75e4ee16f0f + .quad 0x43e64e5418a08dea + .quad 0x8155e2521a35ce63 + .quad 0xbe100d4df912028e + .quad 0xbff80bf8a57ddcec + .quad 0x57342dc96d6bc6e4 + + // 2^100 * 6 * G + + .quad 0xefeef065c8ce5998 + .quad 0xbf029510b5cbeaa2 + .quad 0x8c64a10620b7c458 + .quad 0x35134fb231c24855 + .quad 0xf3c3bcb71e707bf6 + .quad 0x351d9b8c7291a762 + .quad 0x00502e6edad69a33 + .quad 0x522f521f1ec8807f + .quad 0x272c1f46f9a3902b + .quad 0xc91ba3b799657bcc + .quad 0xae614b304f8a1c0e + .quad 0x7afcaad70b99017b + + // 2^100 * 7 * G + + .quad 0xc25ded54a4b8be41 + .quad 0x902d13e11bb0e2dd + .quad 0x41f43233cde82ab2 + .quad 0x1085faa5c3aae7cb + .quad 0xa88141ecef842b6b + .quad 0x55e7b14797abe6c5 + .quad 0x8c748f9703784ffe + .quad 0x5b50a1f7afcd00b7 + .quad 0x9b840f66f1361315 + .quad 0x18462242701003e9 + .quad 0x65ed45fae4a25080 + .quad 0x0a2862393fda7320 + + // 2^100 * 8 * G + + .quad 0x46ab13c8347cbc9d + .quad 0x3849e8d499c12383 + .quad 0x4cea314087d64ac9 + .quad 0x1f354134b1a29ee7 + .quad 0x960e737b6ecb9d17 + .quad 0xfaf24948d67ceae1 + .quad 0x37e7a9b4d55e1b89 + .quad 0x5cb7173cb46c59eb + .quad 0x4a89e68b82b7abf0 + .quad 0xf41cd9279ba6b7b9 + .quad 0x16e6c210e18d876f + .quad 0x7cacdb0f7f1b09c6 + + // 2^104 * 1 * G + + .quad 0x9062b2e0d91a78bc + .quad 0x47c9889cc8509667 + .quad 0x9df54a66405070b8 + .quad 0x7369e6a92493a1bf + .quad 0xe1014434dcc5caed + .quad 0x47ed5d963c84fb33 + .quad 0x70019576ed86a0e7 + .quad 0x25b2697bd267f9e4 + .quad 0x9d673ffb13986864 + .quad 0x3ca5fbd9415dc7b8 + .quad 0xe04ecc3bdf273b5e + .quad 0x1420683db54e4cd2 + + // 2^104 * 2 * G + + .quad 0xb478bd1e249dd197 + .quad 0x620c35005e58c102 + .quad 0xfb02d32fccbaac5c + .quad 0x60b63bebf508a72d + .quad 0x34eebb6fc1cc5ad0 + .quad 0x6a1b0ce99646ac8b + .quad 0xd3b0da49a66bde53 + .quad 0x31e83b4161d081c1 + .quad 0x97e8c7129e062b4f + .quad 0x49e48f4f29320ad8 + .quad 0x5bece14b6f18683f + .quad 0x55cf1eb62d550317 + + // 2^104 * 3 * G + + .quad 0x5879101065c23d58 + .quad 0x8b9d086d5094819c + .quad 0xe2402fa912c55fa7 + .quad 0x669a6564570891d4 + .quad 0x3076b5e37df58c52 + .quad 0xd73ab9dde799cc36 + .quad 0xbd831ce34913ee20 + .quad 0x1a56fbaa62ba0133 + .quad 0x943e6b505c9dc9ec + .quad 0x302557bba77c371a + .quad 0x9873ae5641347651 + .quad 0x13c4836799c58a5c + + // 2^104 * 4 * G + + .quad 0x423a5d465ab3e1b9 + .quad 0xfc13c187c7f13f61 + .quad 0x19f83664ecb5b9b6 + .quad 0x66f80c93a637b607 + .quad 0xc4dcfb6a5d8bd080 + .quad 0xdeebc4ec571a4842 + .quad 0xd4b2e883b8e55365 + .quad 0x50bdc87dc8e5b827 + .quad 0x606d37836edfe111 + .quad 0x32353e15f011abd9 + .quad 0x64b03ac325b73b96 + .quad 0x1dd56444725fd5ae + + // 2^104 * 5 * G + + .quad 0x8fa47ff83362127d + .quad 0xbc9f6ac471cd7c15 + .quad 0x6e71454349220c8b + .quad 0x0e645912219f732e + .quad 0xc297e60008bac89a + .quad 0x7d4cea11eae1c3e0 + .quad 0xf3e38be19fe7977c + .quad 0x3a3a450f63a305cd + .quad 0x078f2f31d8394627 + .quad 0x389d3183de94a510 + .quad 0xd1e36c6d17996f80 + .quad 0x318c8d9393a9a87b + + // 2^104 * 6 * G + + .quad 0xf2745d032afffe19 + .quad 0x0c9f3c497f24db66 + .quad 0xbc98d3e3ba8598ef + .quad 0x224c7c679a1d5314 + .quad 0x5d669e29ab1dd398 + .quad 0xfc921658342d9e3b + .quad 0x55851dfdf35973cd + .quad 0x509a41c325950af6 + .quad 0xbdc06edca6f925e9 + .quad 0x793ef3f4641b1f33 + .quad 0x82ec12809d833e89 + .quad 0x05bff02328a11389 + + // 2^104 * 7 * G + + .quad 0x3632137023cae00b + .quad 0x544acf0ad1accf59 + .quad 0x96741049d21a1c88 + .quad 0x780b8cc3fa2a44a7 + .quad 0x6881a0dd0dc512e4 + .quad 0x4fe70dc844a5fafe + .quad 0x1f748e6b8f4a5240 + .quad 0x576277cdee01a3ea + .quad 0x1ef38abc234f305f + .quad 0x9a577fbd1405de08 + .quad 0x5e82a51434e62a0d + .quad 0x5ff418726271b7a1 + + // 2^104 * 8 * G + + .quad 0x398e080c1789db9d + .quad 0xa7602025f3e778f5 + .quad 0xfa98894c06bd035d + .quad 0x106a03dc25a966be + .quad 0xe5db47e813b69540 + .quad 0xf35d2a3b432610e1 + .quad 0xac1f26e938781276 + .quad 0x29d4db8ca0a0cb69 + .quad 0xd9ad0aaf333353d0 + .quad 0x38669da5acd309e5 + .quad 0x3c57658ac888f7f0 + .quad 0x4ab38a51052cbefa + + // 2^108 * 1 * G + + .quad 0xdfdacbee4324c0e9 + .quad 0x054442883f955bb7 + .quad 0xdef7aaa8ea31609f + .quad 0x68aee70642287cff + .quad 0xf68fe2e8809de054 + .quad 0xe3bc096a9c82bad1 + .quad 0x076353d40aadbf45 + .quad 0x7b9b1fb5dea1959e + .quad 0xf01cc8f17471cc0c + .quad 0x95242e37579082bb + .quad 0x27776093d3e46b5f + .quad 0x2d13d55a28bd85fb + + // 2^108 * 2 * G + + .quad 0xfac5d2065b35b8da + .quad 0xa8da8a9a85624bb7 + .quad 0xccd2ca913d21cd0f + .quad 0x6b8341ee8bf90d58 + .quad 0xbf019cce7aee7a52 + .quad 0xa8ded2b6e454ead3 + .quad 0x3c619f0b87a8bb19 + .quad 0x3619b5d7560916d8 + .quad 0x3579f26b0282c4b2 + .quad 0x64d592f24fafefae + .quad 0xb7cded7b28c8c7c0 + .quad 0x6a927b6b7173a8d7 + + // 2^108 * 3 * G + + .quad 0x1f6db24f986e4656 + .quad 0x1021c02ed1e9105b + .quad 0xf8ff3fff2cc0a375 + .quad 0x1d2a6bf8c6c82592 + .quad 0x8d7040863ece88eb + .quad 0xf0e307a980eec08c + .quad 0xac2250610d788fda + .quad 0x056d92a43a0d478d + .quad 0x1b05a196fc3da5a1 + .quad 0x77d7a8c243b59ed0 + .quad 0x06da3d6297d17918 + .quad 0x66fbb494f12353f7 + + // 2^108 * 4 * G + + .quad 0x751a50b9d85c0fb8 + .quad 0xd1afdc258bcf097b + .quad 0x2f16a6a38309a969 + .quad 0x14ddff9ee5b00659 + .quad 0xd6d70996f12309d6 + .quad 0xdbfb2385e9c3d539 + .quad 0x46d602b0f7552411 + .quad 0x270a0b0557843e0c + .quad 0x61ff0640a7862bcc + .quad 0x81cac09a5f11abfe + .quad 0x9047830455d12abb + .quad 0x19a4bde1945ae873 + + // 2^108 * 5 * G + + .quad 0x9b9f26f520a6200a + .quad 0x64804443cf13eaf8 + .quad 0x8a63673f8631edd3 + .quad 0x72bbbce11ed39dc1 + .quad 0x40c709dec076c49f + .quad 0x657bfaf27f3e53f6 + .quad 0x40662331eca042c4 + .quad 0x14b375487eb4df04 + .quad 0xae853c94ab66dc47 + .quad 0xeb62343edf762d6e + .quad 0xf08e0e186fb2f7d1 + .quad 0x4f0b1c02700ab37a + + // 2^108 * 6 * G + + .quad 0xe1706787d81951fa + .quad 0xa10a2c8eb290c77b + .quad 0xe7382fa03ed66773 + .quad 0x0a4d84710bcc4b54 + .quad 0x79fd21ccc1b2e23f + .quad 0x4ae7c281453df52a + .quad 0xc8172ec9d151486b + .quad 0x68abe9443e0a7534 + .quad 0xda12c6c407831dcb + .quad 0x0da230d74d5c510d + .quad 0x4ab1531e6bd404e1 + .quad 0x4106b166bcf440ef + + // 2^108 * 7 * G + + .quad 0x02e57a421cd23668 + .quad 0x4ad9fb5d0eaef6fd + .quad 0x954e6727b1244480 + .quad 0x7f792f9d2699f331 + .quad 0xa485ccd539e4ecf2 + .quad 0x5aa3f3ad0555bab5 + .quad 0x145e3439937df82d + .quad 0x1238b51e1214283f + .quad 0x0b886b925fd4d924 + .quad 0x60906f7a3626a80d + .quad 0xecd367b4b98abd12 + .quad 0x2876beb1def344cf + + // 2^108 * 8 * G + + .quad 0xdc84e93563144691 + .quad 0x632fe8a0d61f23f4 + .quad 0x4caa800612a9a8d5 + .quad 0x48f9dbfa0e9918d3 + .quad 0xd594b3333a8a85f8 + .quad 0x4ea37689e78d7d58 + .quad 0x73bf9f455e8e351f + .quad 0x5507d7d2bc41ebb4 + .quad 0x1ceb2903299572fc + .quad 0x7c8ccaa29502d0ee + .quad 0x91bfa43411cce67b + .quad 0x5784481964a831e7 + + // 2^112 * 1 * G + + .quad 0xda7c2b256768d593 + .quad 0x98c1c0574422ca13 + .quad 0xf1a80bd5ca0ace1d + .quad 0x29cdd1adc088a690 + .quad 0xd6cfd1ef5fddc09c + .quad 0xe82b3efdf7575dce + .quad 0x25d56b5d201634c2 + .quad 0x3041c6bb04ed2b9b + .quad 0x0ff2f2f9d956e148 + .quad 0xade797759f356b2e + .quad 0x1a4698bb5f6c025c + .quad 0x104bbd6814049a7b + + // 2^112 * 2 * G + + .quad 0x51f0fd3168f1ed67 + .quad 0x2c811dcdd86f3bc2 + .quad 0x44dc5c4304d2f2de + .quad 0x5be8cc57092a7149 + .quad 0xa95d9a5fd67ff163 + .quad 0xe92be69d4cc75681 + .quad 0xb7f8024cde20f257 + .quad 0x204f2a20fb072df5 + .quad 0xc8143b3d30ebb079 + .quad 0x7589155abd652e30 + .quad 0x653c3c318f6d5c31 + .quad 0x2570fb17c279161f + + // 2^112 * 3 * G + + .quad 0x3efa367f2cb61575 + .quad 0xf5f96f761cd6026c + .quad 0xe8c7142a65b52562 + .quad 0x3dcb65ea53030acd + .quad 0x192ea9550bb8245a + .quad 0xc8e6fba88f9050d1 + .quad 0x7986ea2d88a4c935 + .quad 0x241c5f91de018668 + .quad 0x28d8172940de6caa + .quad 0x8fbf2cf022d9733a + .quad 0x16d7fcdd235b01d1 + .quad 0x08420edd5fcdf0e5 + + // 2^112 * 4 * G + + .quad 0xcdff20ab8362fa4a + .quad 0x57e118d4e21a3e6e + .quad 0xe3179617fc39e62b + .quad 0x0d9a53efbc1769fd + .quad 0x0358c34e04f410ce + .quad 0xb6135b5a276e0685 + .quad 0x5d9670c7ebb91521 + .quad 0x04d654f321db889c + .quad 0x5e7dc116ddbdb5d5 + .quad 0x2954deb68da5dd2d + .quad 0x1cb608173334a292 + .quad 0x4a7a4f2618991ad7 + + // 2^112 * 5 * G + + .quad 0xf4a718025fb15f95 + .quad 0x3df65f346b5c1b8f + .quad 0xcdfcf08500e01112 + .quad 0x11b50c4cddd31848 + .quad 0x24c3b291af372a4b + .quad 0x93da8270718147f2 + .quad 0xdd84856486899ef2 + .quad 0x4a96314223e0ee33 + .quad 0xa6e8274408a4ffd6 + .quad 0x738e177e9c1576d9 + .quad 0x773348b63d02b3f2 + .quad 0x4f4bce4dce6bcc51 + + // 2^112 * 6 * G + + .quad 0xa71fce5ae2242584 + .quad 0x26ea725692f58a9e + .quad 0xd21a09d71cea3cf4 + .quad 0x73fcdd14b71c01e6 + .quad 0x30e2616ec49d0b6f + .quad 0xe456718fcaec2317 + .quad 0x48eb409bf26b4fa6 + .quad 0x3042cee561595f37 + .quad 0x427e7079449bac41 + .quad 0x855ae36dbce2310a + .quad 0x4cae76215f841a7c + .quad 0x389e740c9a9ce1d6 + + // 2^112 * 7 * G + + .quad 0x64fcb3ae34dcb9ce + .quad 0x97500323e348d0ad + .quad 0x45b3f07d62c6381b + .quad 0x61545379465a6788 + .quad 0xc9bd78f6570eac28 + .quad 0xe55b0b3227919ce1 + .quad 0x65fc3eaba19b91ed + .quad 0x25c425e5d6263690 + .quad 0x3f3e06a6f1d7de6e + .quad 0x3ef976278e062308 + .quad 0x8c14f6264e8a6c77 + .quad 0x6539a08915484759 + + // 2^112 * 8 * G + + .quad 0xe9d21f74c3d2f773 + .quad 0xc150544125c46845 + .quad 0x624e5ce8f9b99e33 + .quad 0x11c5e4aac5cd186c + .quad 0xddc4dbd414bb4a19 + .quad 0x19b2bc3c98424f8e + .quad 0x48a89fd736ca7169 + .quad 0x0f65320ef019bd90 + .quad 0xd486d1b1cafde0c6 + .quad 0x4f3fe6e3163b5181 + .quad 0x59a8af0dfaf2939a + .quad 0x4cabc7bdec33072a + + // 2^116 * 1 * G + + .quad 0x16faa8fb532f7428 + .quad 0xdbd42ea046a4e272 + .quad 0x5337653b8b9ea480 + .quad 0x4065947223973f03 + .quad 0xf7c0a19c1a54a044 + .quad 0x4a1c5e2477bd9fbb + .quad 0xa6e3ca115af22972 + .quad 0x1819bb953f2e9e0d + .quad 0x498fbb795e042e84 + .quad 0x7d0dd89a7698b714 + .quad 0x8bfb0ba427fe6295 + .quad 0x36ba82e721200524 + + // 2^116 * 2 * G + + .quad 0xd60ecbb74245ec41 + .quad 0xfd9be89e34348716 + .quad 0xc9240afee42284de + .quad 0x4472f648d0531db4 + .quad 0xc8d69d0a57274ed5 + .quad 0x45ba803260804b17 + .quad 0xdf3cda102255dfac + .quad 0x77d221232709b339 + .quad 0x498a6d7064ad94d8 + .quad 0xa5b5c8fd9af62263 + .quad 0x8ca8ed0545c141f4 + .quad 0x2c63bec3662d358c + + // 2^116 * 3 * G + + .quad 0x7fe60d8bea787955 + .quad 0xb9dc117eb5f401b7 + .quad 0x91c7c09a19355cce + .quad 0x22692ef59442bedf + .quad 0x9a518b3a8586f8bf + .quad 0x9ee71af6cbb196f0 + .quad 0xaa0625e6a2385cf2 + .quad 0x1deb2176ddd7c8d1 + .quad 0x8563d19a2066cf6c + .quad 0x401bfd8c4dcc7cd7 + .quad 0xd976a6becd0d8f62 + .quad 0x67cfd773a278b05e + + // 2^116 * 4 * G + + .quad 0x8dec31faef3ee475 + .quad 0x99dbff8a9e22fd92 + .quad 0x512d11594e26cab1 + .quad 0x0cde561eec4310b9 + .quad 0x2d5fa9855a4e586a + .quad 0x65f8f7a449beab7e + .quad 0xaa074dddf21d33d3 + .quad 0x185cba721bcb9dee + .quad 0x93869da3f4e3cb41 + .quad 0xbf0392f540f7977e + .quad 0x026204fcd0463b83 + .quad 0x3ec91a769eec6eed + + // 2^116 * 5 * G + + .quad 0x1e9df75bf78166ad + .quad 0x4dfda838eb0cd7af + .quad 0xba002ed8c1eaf988 + .quad 0x13fedb3e11f33cfc + .quad 0x0fad2fb7b0a3402f + .quad 0x46615ecbfb69f4a8 + .quad 0xf745bcc8c5f8eaa6 + .quad 0x7a5fa8794a94e896 + .quad 0x52958faa13cd67a1 + .quad 0x965ee0818bdbb517 + .quad 0x16e58daa2e8845b3 + .quad 0x357d397d5499da8f + + // 2^116 * 6 * G + + .quad 0x1ebfa05fb0bace6c + .quad 0xc934620c1caf9a1e + .quad 0xcc771cc41d82b61a + .quad 0x2d94a16aa5f74fec + .quad 0x481dacb4194bfbf8 + .quad 0x4d77e3f1bae58299 + .quad 0x1ef4612e7d1372a0 + .quad 0x3a8d867e70ff69e1 + .quad 0x6f58cd5d55aff958 + .quad 0xba3eaa5c75567721 + .quad 0x75c123999165227d + .quad 0x69be1343c2f2b35e + + // 2^116 * 7 * G + + .quad 0x0e091d5ee197c92a + .quad 0x4f51019f2945119f + .quad 0x143679b9f034e99c + .quad 0x7d88112e4d24c696 + .quad 0x82bbbdac684b8de3 + .quad 0xa2f4c7d03fca0718 + .quad 0x337f92fbe096aaa8 + .quad 0x200d4d8c63587376 + .quad 0x208aed4b4893b32b + .quad 0x3efbf23ebe59b964 + .quad 0xd762deb0dba5e507 + .quad 0x69607bd681bd9d94 + + // 2^116 * 8 * G + + .quad 0xf6be021068de1ce1 + .quad 0xe8d518e70edcbc1f + .quad 0xe3effdd01b5505a5 + .quad 0x35f63353d3ec3fd0 + .quad 0x3b7f3bd49323a902 + .quad 0x7c21b5566b2c6e53 + .quad 0xe5ba8ff53a7852a7 + .quad 0x28bc77a5838ece00 + .quad 0x63ba78a8e25d8036 + .quad 0x63651e0094333490 + .quad 0x48d82f20288ce532 + .quad 0x3a31abfa36b57524 + + // 2^120 * 1 * G + + .quad 0x239e9624089c0a2e + .quad 0xc748c4c03afe4738 + .quad 0x17dbed2a764fa12a + .quad 0x639b93f0321c8582 + .quad 0xc08f788f3f78d289 + .quad 0xfe30a72ca1404d9f + .quad 0xf2778bfccf65cc9d + .quad 0x7ee498165acb2021 + .quad 0x7bd508e39111a1c3 + .quad 0x2b2b90d480907489 + .quad 0xe7d2aec2ae72fd19 + .quad 0x0edf493c85b602a6 + + // 2^120 * 2 * G + + .quad 0xaecc8158599b5a68 + .quad 0xea574f0febade20e + .quad 0x4fe41d7422b67f07 + .quad 0x403b92e3019d4fb4 + .quad 0x6767c4d284764113 + .quad 0xa090403ff7f5f835 + .quad 0x1c8fcffacae6bede + .quad 0x04c00c54d1dfa369 + .quad 0x4dc22f818b465cf8 + .quad 0x71a0f35a1480eff8 + .quad 0xaee8bfad04c7d657 + .quad 0x355bb12ab26176f4 + + // 2^120 * 3 * G + + .quad 0xa71e64cc7493bbf4 + .quad 0xe5bd84d9eca3b0c3 + .quad 0x0a6bc50cfa05e785 + .quad 0x0f9b8132182ec312 + .quad 0xa301dac75a8c7318 + .quad 0xed90039db3ceaa11 + .quad 0x6f077cbf3bae3f2d + .quad 0x7518eaf8e052ad8e + .quad 0xa48859c41b7f6c32 + .quad 0x0f2d60bcf4383298 + .quad 0x1815a929c9b1d1d9 + .quad 0x47c3871bbb1755c4 + + // 2^120 * 4 * G + + .quad 0x5144539771ec4f48 + .quad 0xf805b17dc98c5d6e + .quad 0xf762c11a47c3c66b + .quad 0x00b89b85764699dc + .quad 0xfbe65d50c85066b0 + .quad 0x62ecc4b0b3a299b0 + .quad 0xe53754ea441ae8e0 + .quad 0x08fea02ce8d48d5f + .quad 0x824ddd7668deead0 + .quad 0xc86445204b685d23 + .quad 0xb514cfcd5d89d665 + .quad 0x473829a74f75d537 + + // 2^120 * 5 * G + + .quad 0x82d2da754679c418 + .quad 0xe63bd7d8b2618df0 + .quad 0x355eef24ac47eb0a + .quad 0x2078684c4833c6b4 + .quad 0x23d9533aad3902c9 + .quad 0x64c2ddceef03588f + .quad 0x15257390cfe12fb4 + .quad 0x6c668b4d44e4d390 + .quad 0x3b48cf217a78820c + .quad 0xf76a0ab281273e97 + .quad 0xa96c65a78c8eed7b + .quad 0x7411a6054f8a433f + + // 2^120 * 6 * G + + .quad 0x4d659d32b99dc86d + .quad 0x044cdc75603af115 + .quad 0xb34c712cdcc2e488 + .quad 0x7c136574fb8134ff + .quad 0x579ae53d18b175b4 + .quad 0x68713159f392a102 + .quad 0x8455ecba1eef35f5 + .quad 0x1ec9a872458c398f + .quad 0xb8e6a4d400a2509b + .quad 0x9b81d7020bc882b4 + .quad 0x57e7cc9bf1957561 + .quad 0x3add88a5c7cd6460 + + // 2^120 * 7 * G + + .quad 0xab895770b635dcf2 + .quad 0x02dfef6cf66c1fbc + .quad 0x85530268beb6d187 + .quad 0x249929fccc879e74 + .quad 0x85c298d459393046 + .quad 0x8f7e35985ff659ec + .quad 0x1d2ca22af2f66e3a + .quad 0x61ba1131a406a720 + .quad 0xa3d0a0f116959029 + .quad 0x023b6b6cba7ebd89 + .quad 0x7bf15a3e26783307 + .quad 0x5620310cbbd8ece7 + + // 2^120 * 8 * G + + .quad 0x528993434934d643 + .quad 0xb9dbf806a51222f5 + .quad 0x8f6d878fc3f41c22 + .quad 0x37676a2a4d9d9730 + .quad 0x6646b5f477e285d6 + .quad 0x40e8ff676c8f6193 + .quad 0xa6ec7311abb594dd + .quad 0x7ec846f3658cec4d + .quad 0x9b5e8f3f1da22ec7 + .quad 0x130f1d776c01cd13 + .quad 0x214c8fcfa2989fb8 + .quad 0x6daaf723399b9dd5 + + // 2^124 * 1 * G + + .quad 0x591e4a5610628564 + .quad 0x2a4bb87ca8b4df34 + .quad 0xde2a2572e7a38e43 + .quad 0x3cbdabd9fee5046e + .quad 0x81aebbdd2cd13070 + .quad 0x962e4325f85a0e9e + .quad 0xde9391aacadffecb + .quad 0x53177fda52c230e6 + .quad 0xa7bc970650b9de79 + .quad 0x3d12a7fbc301b59b + .quad 0x02652e68d36ae38c + .quad 0x79d739835a6199dc + + // 2^124 * 2 * G + + .quad 0xd9354df64131c1bd + .quad 0x758094a186ec5822 + .quad 0x4464ee12e459f3c2 + .quad 0x6c11fce4cb133282 + .quad 0x21c9d9920d591737 + .quad 0x9bea41d2e9b46cd6 + .quad 0xe20e84200d89bfca + .quad 0x79d99f946eae5ff8 + .quad 0xf17b483568673205 + .quad 0x387deae83caad96c + .quad 0x61b471fd56ffe386 + .quad 0x31741195b745a599 + + // 2^124 * 3 * G + + .quad 0xe8d10190b77a360b + .quad 0x99b983209995e702 + .quad 0xbd4fdff8fa0247aa + .quad 0x2772e344e0d36a87 + .quad 0x17f8ba683b02a047 + .quad 0x50212096feefb6c8 + .quad 0x70139be21556cbe2 + .quad 0x203e44a11d98915b + .quad 0xd6863eba37b9e39f + .quad 0x105bc169723b5a23 + .quad 0x104f6459a65c0762 + .quad 0x567951295b4d38d4 + + // 2^124 * 4 * G + + .quad 0x535fd60613037524 + .quad 0xe210adf6b0fbc26a + .quad 0xac8d0a9b23e990ae + .quad 0x47204d08d72fdbf9 + .quad 0x07242eb30d4b497f + .quad 0x1ef96306b9bccc87 + .quad 0x37950934d8116f45 + .quad 0x05468d6201405b04 + .quad 0x00f565a9f93267de + .quad 0xcecfd78dc0d58e8a + .quad 0xa215e2dcf318e28e + .quad 0x4599ee919b633352 + + // 2^124 * 5 * G + + .quad 0xd3c220ca70e0e76b + .quad 0xb12bea58ea9f3094 + .quad 0x294ddec8c3271282 + .quad 0x0c3539e1a1d1d028 + .quad 0xac746d6b861ae579 + .quad 0x31ab0650f6aea9dc + .quad 0x241d661140256d4c + .quad 0x2f485e853d21a5de + .quad 0x329744839c0833f3 + .quad 0x6fe6257fd2abc484 + .quad 0x5327d1814b358817 + .quad 0x65712585893fe9bc + + // 2^124 * 6 * G + + .quad 0x9c102fb732a61161 + .quad 0xe48e10dd34d520a8 + .quad 0x365c63546f9a9176 + .quad 0x32f6fe4c046f6006 + .quad 0x81c29f1bd708ee3f + .quad 0xddcb5a05ae6407d0 + .quad 0x97aec1d7d2a3eba7 + .quad 0x1590521a91d50831 + .quad 0x40a3a11ec7910acc + .quad 0x9013dff8f16d27ae + .quad 0x1a9720d8abb195d4 + .quad 0x1bb9fe452ea98463 + + // 2^124 * 7 * G + + .quad 0xe9d1d950b3d54f9e + .quad 0x2d5f9cbee00d33c1 + .quad 0x51c2c656a04fc6ac + .quad 0x65c091ee3c1cbcc9 + .quad 0xcf5e6c95cc36747c + .quad 0x294201536b0bc30d + .quad 0x453ac67cee797af0 + .quad 0x5eae6ab32a8bb3c9 + .quad 0x7083661114f118ea + .quad 0x2b37b87b94349cad + .quad 0x7273f51cb4e99f40 + .quad 0x78a2a95823d75698 + + // 2^124 * 8 * G + + .quad 0xa2b072e95c8c2ace + .quad 0x69cffc96651e9c4b + .quad 0x44328ef842e7b42b + .quad 0x5dd996c122aadeb3 + .quad 0xb4f23c425ef83207 + .quad 0xabf894d3c9a934b5 + .quad 0xd0708c1339fd87f7 + .quad 0x1876789117166130 + .quad 0x925b5ef0670c507c + .quad 0x819bc842b93c33bf + .quad 0x10792e9a70dd003f + .quad 0x59ad4b7a6e28dc74 + + // 2^128 * 1 * G + + .quad 0x5f3a7562eb3dbe47 + .quad 0xf7ea38548ebda0b8 + .quad 0x00c3e53145747299 + .quad 0x1304e9e71627d551 + .quad 0x583b04bfacad8ea2 + .quad 0x29b743e8148be884 + .quad 0x2b1e583b0810c5db + .quad 0x2b5449e58eb3bbaa + .quad 0x789814d26adc9cfe + .quad 0x3c1bab3f8b48dd0b + .quad 0xda0fe1fff979c60a + .quad 0x4468de2d7c2dd693 + + // 2^128 * 2 * G + + .quad 0x51bb355e9419469e + .quad 0x33e6dc4c23ddc754 + .quad 0x93a5b6d6447f9962 + .quad 0x6cce7c6ffb44bd63 + .quad 0x4b9ad8c6f86307ce + .quad 0x21113531435d0c28 + .quad 0xd4a866c5657a772c + .quad 0x5da6427e63247352 + .quad 0x1a94c688deac22ca + .quad 0xb9066ef7bbae1ff8 + .quad 0x88ad8c388d59580f + .quad 0x58f29abfe79f2ca8 + + // 2^128 * 3 * G + + .quad 0xe90ecfab8de73e68 + .quad 0x54036f9f377e76a5 + .quad 0xf0495b0bbe015982 + .quad 0x577629c4a7f41e36 + .quad 0x4b5a64bf710ecdf6 + .quad 0xb14ce538462c293c + .quad 0x3643d056d50b3ab9 + .quad 0x6af93724185b4870 + .quad 0x3220024509c6a888 + .quad 0xd2e036134b558973 + .quad 0x83e236233c33289f + .quad 0x701f25bb0caec18f + + // 2^128 * 4 * G + + .quad 0xc3a8b0f8e4616ced + .quad 0xf700660e9e25a87d + .quad 0x61e3061ff4bca59c + .quad 0x2e0c92bfbdc40be9 + .quad 0x9d18f6d97cbec113 + .quad 0x844a06e674bfdbe4 + .quad 0x20f5b522ac4e60d6 + .quad 0x720a5bc050955e51 + .quad 0x0c3f09439b805a35 + .quad 0xe84e8b376242abfc + .quad 0x691417f35c229346 + .quad 0x0e9b9cbb144ef0ec + + // 2^128 * 5 * G + + .quad 0xfbbad48ffb5720ad + .quad 0xee81916bdbf90d0e + .quad 0xd4813152635543bf + .quad 0x221104eb3f337bd8 + .quad 0x8dee9bd55db1beee + .quad 0xc9c3ab370a723fb9 + .quad 0x44a8f1bf1c68d791 + .quad 0x366d44191cfd3cde + .quad 0x9e3c1743f2bc8c14 + .quad 0x2eda26fcb5856c3b + .quad 0xccb82f0e68a7fb97 + .quad 0x4167a4e6bc593244 + + // 2^128 * 6 * G + + .quad 0x643b9d2876f62700 + .quad 0x5d1d9d400e7668eb + .quad 0x1b4b430321fc0684 + .quad 0x7938bb7e2255246a + .quad 0xc2be2665f8ce8fee + .quad 0xe967ff14e880d62c + .quad 0xf12e6e7e2f364eee + .quad 0x34b33370cb7ed2f6 + .quad 0xcdc591ee8681d6cc + .quad 0xce02109ced85a753 + .quad 0xed7485c158808883 + .quad 0x1176fc6e2dfe65e4 + + // 2^128 * 7 * G + + .quad 0xb4af6cd05b9c619b + .quad 0x2ddfc9f4b2a58480 + .quad 0x3d4fa502ebe94dc4 + .quad 0x08fc3a4c677d5f34 + .quad 0xdb90e28949770eb8 + .quad 0x98fbcc2aacf440a3 + .quad 0x21354ffeded7879b + .quad 0x1f6a3e54f26906b6 + .quad 0x60a4c199d30734ea + .quad 0x40c085b631165cd6 + .quad 0xe2333e23f7598295 + .quad 0x4f2fad0116b900d1 + + // 2^128 * 8 * G + + .quad 0x44beb24194ae4e54 + .quad 0x5f541c511857ef6c + .quad 0xa61e6b2d368d0498 + .quad 0x445484a4972ef7ab + .quad 0x962cd91db73bb638 + .quad 0xe60577aafc129c08 + .quad 0x6f619b39f3b61689 + .quad 0x3451995f2944ee81 + .quad 0x9152fcd09fea7d7c + .quad 0x4a816c94b0935cf6 + .quad 0x258e9aaa47285c40 + .quad 0x10b89ca6042893b7 + + // 2^132 * 1 * G + + .quad 0x9b2a426e3b646025 + .quad 0x32127190385ce4cf + .quad 0xa25cffc2dd6dea45 + .quad 0x06409010bea8de75 + .quad 0xd67cded679d34aa0 + .quad 0xcc0b9ec0cc4db39f + .quad 0xa535a456e35d190f + .quad 0x2e05d9eaf61f6fef + .quad 0xc447901ad61beb59 + .quad 0x661f19bce5dc880a + .quad 0x24685482b7ca6827 + .quad 0x293c778cefe07f26 + + // 2^132 * 2 * G + + .quad 0x86809e7007069096 + .quad 0xaad75b15e4e50189 + .quad 0x07f35715a21a0147 + .quad 0x0487f3f112815d5e + .quad 0x16c795d6a11ff200 + .quad 0xcb70d0e2b15815c9 + .quad 0x89f293209b5395b5 + .quad 0x50b8c2d031e47b4f + .quad 0x48350c08068a4962 + .quad 0x6ffdd05351092c9a + .quad 0x17af4f4aaf6fc8dd + .quad 0x4b0553b53cdba58b + + // 2^132 * 3 * G + + .quad 0x9c65fcbe1b32ff79 + .quad 0xeb75ea9f03b50f9b + .quad 0xfced2a6c6c07e606 + .quad 0x35106cd551717908 + .quad 0xbf05211b27c152d4 + .quad 0x5ec26849bd1af639 + .quad 0x5e0b2caa8e6fab98 + .quad 0x054c8bdd50bd0840 + .quad 0x38a0b12f1dcf073d + .quad 0x4b60a8a3b7f6a276 + .quad 0xfed5ac25d3404f9a + .quad 0x72e82d5e5505c229 + + // 2^132 * 4 * G + + .quad 0x6b0b697ff0d844c8 + .quad 0xbb12f85cd979cb49 + .quad 0xd2a541c6c1da0f1f + .quad 0x7b7c242958ce7211 + .quad 0x00d9cdfd69771d02 + .quad 0x410276cd6cfbf17e + .quad 0x4c45306c1cb12ec7 + .quad 0x2857bf1627500861 + .quad 0x9f21903f0101689e + .quad 0xd779dfd3bf861005 + .quad 0xa122ee5f3deb0f1b + .quad 0x510df84b485a00d4 + + // 2^132 * 5 * G + + .quad 0xa54133bb9277a1fa + .quad 0x74ec3b6263991237 + .quad 0x1a3c54dc35d2f15a + .quad 0x2d347144e482ba3a + .quad 0x24b3c887c70ac15e + .quad 0xb0f3a557fb81b732 + .quad 0x9b2cde2fe578cc1b + .quad 0x4cf7ed0703b54f8e + .quad 0x6bd47c6598fbee0f + .quad 0x9e4733e2ab55be2d + .quad 0x1093f624127610c5 + .quad 0x4e05e26ad0a1eaa4 + + // 2^132 * 6 * G + + .quad 0xda9b6b624b531f20 + .quad 0x429a760e77509abb + .quad 0xdbe9f522e823cb80 + .quad 0x618f1856880c8f82 + .quad 0x1833c773e18fe6c0 + .quad 0xe3c4711ad3c87265 + .quad 0x3bfd3c4f0116b283 + .quad 0x1955875eb4cd4db8 + .quad 0x6da6de8f0e399799 + .quad 0x7ad61aa440fda178 + .quad 0xb32cd8105e3563dd + .quad 0x15f6beae2ae340ae + + // 2^132 * 7 * G + + .quad 0x862bcb0c31ec3a62 + .quad 0x810e2b451138f3c2 + .quad 0x788ec4b839dac2a4 + .quad 0x28f76867ae2a9281 + .quad 0xba9a0f7b9245e215 + .quad 0xf368612dd98c0dbb + .quad 0x2e84e4cbf220b020 + .quad 0x6ba92fe962d90eda + .quad 0x3e4df9655884e2aa + .quad 0xbd62fbdbdbd465a5 + .quad 0xd7596caa0de9e524 + .quad 0x6e8042ccb2b1b3d7 + + // 2^132 * 8 * G + + .quad 0xf10d3c29ce28ca6e + .quad 0xbad34540fcb6093d + .quad 0xe7426ed7a2ea2d3f + .quad 0x08af9d4e4ff298b9 + .quad 0x1530653616521f7e + .quad 0x660d06b896203dba + .quad 0x2d3989bc545f0879 + .quad 0x4b5303af78ebd7b0 + .quad 0x72f8a6c3bebcbde8 + .quad 0x4f0fca4adc3a8e89 + .quad 0x6fa9d4e8c7bfdf7a + .quad 0x0dcf2d679b624eb7 + + // 2^136 * 1 * G + + .quad 0x3d5947499718289c + .quad 0x12ebf8c524533f26 + .quad 0x0262bfcb14c3ef15 + .quad 0x20b878d577b7518e + .quad 0x753941be5a45f06e + .quad 0xd07caeed6d9c5f65 + .quad 0x11776b9c72ff51b6 + .quad 0x17d2d1d9ef0d4da9 + .quad 0x27f2af18073f3e6a + .quad 0xfd3fe519d7521069 + .quad 0x22e3b72c3ca60022 + .quad 0x72214f63cc65c6a7 + + // 2^136 * 2 * G + + .quad 0xb4e37f405307a693 + .quad 0xaba714d72f336795 + .quad 0xd6fbd0a773761099 + .quad 0x5fdf48c58171cbc9 + .quad 0x1d9db7b9f43b29c9 + .quad 0xd605824a4f518f75 + .quad 0xf2c072bd312f9dc4 + .quad 0x1f24ac855a1545b0 + .quad 0x24d608328e9505aa + .quad 0x4748c1d10c1420ee + .quad 0xc7ffe45c06fb25a2 + .quad 0x00ba739e2ae395e6 + + // 2^136 * 3 * G + + .quad 0x592e98de5c8790d6 + .quad 0xe5bfb7d345c2a2df + .quad 0x115a3b60f9b49922 + .quad 0x03283a3e67ad78f3 + .quad 0xae4426f5ea88bb26 + .quad 0x360679d984973bfb + .quad 0x5c9f030c26694e50 + .quad 0x72297de7d518d226 + .quad 0x48241dc7be0cb939 + .quad 0x32f19b4d8b633080 + .quad 0xd3dfc90d02289308 + .quad 0x05e1296846271945 + + // 2^136 * 4 * G + + .quad 0xba82eeb32d9c495a + .quad 0xceefc8fcf12bb97c + .quad 0xb02dabae93b5d1e0 + .quad 0x39c00c9c13698d9b + .quad 0xadbfbbc8242c4550 + .quad 0xbcc80cecd03081d9 + .quad 0x843566a6f5c8df92 + .quad 0x78cf25d38258ce4c + .quad 0x15ae6b8e31489d68 + .quad 0xaa851cab9c2bf087 + .quad 0xc9a75a97f04efa05 + .quad 0x006b52076b3ff832 + + // 2^136 * 5 * G + + .quad 0x29e0cfe19d95781c + .quad 0xb681df18966310e2 + .quad 0x57df39d370516b39 + .quad 0x4d57e3443bc76122 + .quad 0xf5cb7e16b9ce082d + .quad 0x3407f14c417abc29 + .quad 0xd4b36bce2bf4a7ab + .quad 0x7de2e9561a9f75ce + .quad 0xde70d4f4b6a55ecb + .quad 0x4801527f5d85db99 + .quad 0xdbc9c440d3ee9a81 + .quad 0x6b2a90af1a6029ed + + // 2^136 * 6 * G + + .quad 0x6923f4fc9ae61e97 + .quad 0x5735281de03f5fd1 + .quad 0xa764ae43e6edd12d + .quad 0x5fd8f4e9d12d3e4a + .quad 0x77ebf3245bb2d80a + .quad 0xd8301b472fb9079b + .quad 0xc647e6f24cee7333 + .quad 0x465812c8276c2109 + .quad 0x4d43beb22a1062d9 + .quad 0x7065fb753831dc16 + .quad 0x180d4a7bde2968d7 + .quad 0x05b32c2b1cb16790 + + // 2^136 * 7 * G + + .quad 0xc8c05eccd24da8fd + .quad 0xa1cf1aac05dfef83 + .quad 0xdbbeeff27df9cd61 + .quad 0x3b5556a37b471e99 + .quad 0xf7fca42c7ad58195 + .quad 0x3214286e4333f3cc + .quad 0xb6c29d0d340b979d + .quad 0x31771a48567307e1 + .quad 0x32b0c524e14dd482 + .quad 0xedb351541a2ba4b6 + .quad 0xa3d16048282b5af3 + .quad 0x4fc079d27a7336eb + + // 2^136 * 8 * G + + .quad 0x51c938b089bf2f7f + .quad 0x2497bd6502dfe9a7 + .quad 0xffffc09c7880e453 + .quad 0x124567cecaf98e92 + .quad 0xdc348b440c86c50d + .quad 0x1337cbc9cc94e651 + .quad 0x6422f74d643e3cb9 + .quad 0x241170c2bae3cd08 + .quad 0x3ff9ab860ac473b4 + .quad 0xf0911dee0113e435 + .quad 0x4ae75060ebc6c4af + .quad 0x3f8612966c87000d + + // 2^140 * 1 * G + + .quad 0x0c9c5303f7957be4 + .quad 0xa3c31a20e085c145 + .quad 0xb0721d71d0850050 + .quad 0x0aba390eab0bf2da + .quad 0x529fdffe638c7bf3 + .quad 0xdf2b9e60388b4995 + .quad 0xe027b34f1bad0249 + .quad 0x7bc92fc9b9fa74ed + .quad 0x9f97ef2e801ad9f9 + .quad 0x83697d5479afda3a + .quad 0xe906b3ffbd596b50 + .quad 0x02672b37dd3fb8e0 + + // 2^140 * 2 * G + + .quad 0x48b2ca8b260885e4 + .quad 0xa4286bec82b34c1c + .quad 0x937e1a2617f58f74 + .quad 0x741d1fcbab2ca2a5 + .quad 0xee9ba729398ca7f5 + .quad 0xeb9ca6257a4849db + .quad 0x29eb29ce7ec544e1 + .quad 0x232ca21ef736e2c8 + .quad 0xbf61423d253fcb17 + .quad 0x08803ceafa39eb14 + .quad 0xf18602df9851c7af + .quad 0x0400f3a049e3414b + + // 2^140 * 3 * G + + .quad 0xabce0476ba61c55b + .quad 0x36a3d6d7c4d39716 + .quad 0x6eb259d5e8d82d09 + .quad 0x0c9176e984d756fb + .quad 0x2efba412a06e7b06 + .quad 0x146785452c8d2560 + .quad 0xdf9713ebd67a91c7 + .quad 0x32830ac7157eadf3 + .quad 0x0e782a7ab73769e8 + .quad 0x04a05d7875b18e2c + .quad 0x29525226ebcceae1 + .quad 0x0d794f8383eba820 + + // 2^140 * 4 * G + + .quad 0xff35f5cb9e1516f4 + .quad 0xee805bcf648aae45 + .quad 0xf0d73c2bb93a9ef3 + .quad 0x097b0bf22092a6c2 + .quad 0x7be44ce7a7a2e1ac + .quad 0x411fd93efad1b8b7 + .quad 0x1734a1d70d5f7c9b + .quad 0x0d6592233127db16 + .quad 0xc48bab1521a9d733 + .quad 0xa6c2eaead61abb25 + .quad 0x625c6c1cc6cb4305 + .quad 0x7fc90fea93eb3a67 + + // 2^140 * 5 * G + + .quad 0x0408f1fe1f5c5926 + .quad 0x1a8f2f5e3b258bf4 + .quad 0x40a951a2fdc71669 + .quad 0x6598ee93c98b577e + .quad 0xc527deb59c7cb23d + .quad 0x955391695328404e + .quad 0xd64392817ccf2c7a + .quad 0x6ce97dabf7d8fa11 + .quad 0x25b5a8e50ef7c48f + .quad 0xeb6034116f2ce532 + .quad 0xc5e75173e53de537 + .quad 0x73119fa08c12bb03 + + // 2^140 * 6 * G + + .quad 0xed30129453f1a4cb + .quad 0xbce621c9c8f53787 + .quad 0xfacb2b1338bee7b9 + .quad 0x3025798a9ea8428c + .quad 0x7845b94d21f4774d + .quad 0xbf62f16c7897b727 + .quad 0x671857c03c56522b + .quad 0x3cd6a85295621212 + .quad 0x3fecde923aeca999 + .quad 0xbdaa5b0062e8c12f + .quad 0x67b99dfc96988ade + .quad 0x3f52c02852661036 + + // 2^140 * 7 * G + + .quad 0xffeaa48e2a1351c6 + .quad 0x28624754fa7f53d7 + .quad 0x0b5ba9e57582ddf1 + .quad 0x60c0104ba696ac59 + .quad 0x9258bf99eec416c6 + .quad 0xac8a5017a9d2f671 + .quad 0x629549ab16dea4ab + .quad 0x05d0e85c99091569 + .quad 0x051de020de9cbe97 + .quad 0xfa07fc56b50bcf74 + .quad 0x378cec9f0f11df65 + .quad 0x36853c69ab96de4d + + // 2^140 * 8 * G + + .quad 0x36d9b8de78f39b2d + .quad 0x7f42ed71a847b9ec + .quad 0x241cd1d679bd3fde + .quad 0x6a704fec92fbce6b + .quad 0x4433c0b0fac5e7be + .quad 0x724bae854c08dcbe + .quad 0xf1f24cc446978f9b + .quad 0x4a0aff6d62825fc8 + .quad 0xe917fb9e61095301 + .quad 0xc102df9402a092f8 + .quad 0xbf09e2f5fa66190b + .quad 0x681109bee0dcfe37 + + // 2^144 * 1 * G + + .quad 0x559a0cc9782a0dde + .quad 0x551dcdb2ea718385 + .quad 0x7f62865b31ef238c + .quad 0x504aa7767973613d + .quad 0x9c18fcfa36048d13 + .quad 0x29159db373899ddd + .quad 0xdc9f350b9f92d0aa + .quad 0x26f57eee878a19d4 + .quad 0x0cab2cd55687efb1 + .quad 0x5180d162247af17b + .quad 0x85c15a344f5a2467 + .quad 0x4041943d9dba3069 + + // 2^144 * 2 * G + + .quad 0xc3c0eeba43ebcc96 + .quad 0x8d749c9c26ea9caf + .quad 0xd9fa95ee1c77ccc6 + .quad 0x1420a1d97684340f + .quad 0x4b217743a26caadd + .quad 0x47a6b424648ab7ce + .quad 0xcb1d4f7a03fbc9e3 + .quad 0x12d931429800d019 + .quad 0x00c67799d337594f + .quad 0x5e3c5140b23aa47b + .quad 0x44182854e35ff395 + .quad 0x1b4f92314359a012 + + // 2^144 * 3 * G + + .quad 0x3e5c109d89150951 + .quad 0x39cefa912de9696a + .quad 0x20eae43f975f3020 + .quad 0x239b572a7f132dae + .quad 0x33cf3030a49866b1 + .quad 0x251f73d2215f4859 + .quad 0xab82aa4051def4f6 + .quad 0x5ff191d56f9a23f6 + .quad 0x819ed433ac2d9068 + .quad 0x2883ab795fc98523 + .quad 0xef4572805593eb3d + .quad 0x020c526a758f36cb + + // 2^144 * 4 * G + + .quad 0x779834f89ed8dbbc + .quad 0xc8f2aaf9dc7ca46c + .quad 0xa9524cdca3e1b074 + .quad 0x02aacc4615313877 + .quad 0xe931ef59f042cc89 + .quad 0x2c589c9d8e124bb6 + .quad 0xadc8e18aaec75997 + .quad 0x452cfe0a5602c50c + .quad 0x86a0f7a0647877df + .quad 0xbbc464270e607c9f + .quad 0xab17ea25f1fb11c9 + .quad 0x4cfb7d7b304b877b + + // 2^144 * 5 * G + + .quad 0x72b43d6cb89b75fe + .quad 0x54c694d99c6adc80 + .quad 0xb8c3aa373ee34c9f + .quad 0x14b4622b39075364 + .quad 0xe28699c29789ef12 + .quad 0x2b6ecd71df57190d + .quad 0xc343c857ecc970d0 + .quad 0x5b1d4cbc434d3ac5 + .quad 0xb6fb2615cc0a9f26 + .quad 0x3a4f0e2bb88dcce5 + .quad 0x1301498b3369a705 + .quad 0x2f98f71258592dd1 + + // 2^144 * 6 * G + + .quad 0x0c94a74cb50f9e56 + .quad 0x5b1ff4a98e8e1320 + .quad 0x9a2acc2182300f67 + .quad 0x3a6ae249d806aaf9 + .quad 0x2e12ae444f54a701 + .quad 0xfcfe3ef0a9cbd7de + .quad 0xcebf890d75835de0 + .quad 0x1d8062e9e7614554 + .quad 0x657ada85a9907c5a + .quad 0x1a0ea8b591b90f62 + .quad 0x8d0e1dfbdf34b4e9 + .quad 0x298b8ce8aef25ff3 + + // 2^144 * 7 * G + + .quad 0x2a927953eff70cb2 + .quad 0x4b89c92a79157076 + .quad 0x9418457a30a7cf6a + .quad 0x34b8a8404d5ce485 + .quad 0x837a72ea0a2165de + .quad 0x3fab07b40bcf79f6 + .quad 0x521636c77738ae70 + .quad 0x6ba6271803a7d7dc + .quad 0xc26eecb583693335 + .quad 0xd5a813df63b5fefd + .quad 0xa293aa9aa4b22573 + .quad 0x71d62bdd465e1c6a + + // 2^144 * 8 * G + + .quad 0x6533cc28d378df80 + .quad 0xf6db43790a0fa4b4 + .quad 0xe3645ff9f701da5a + .quad 0x74d5f317f3172ba4 + .quad 0xcd2db5dab1f75ef5 + .quad 0xd77f95cf16b065f5 + .quad 0x14571fea3f49f085 + .quad 0x1c333621262b2b3d + .quad 0xa86fe55467d9ca81 + .quad 0x398b7c752b298c37 + .quad 0xda6d0892e3ac623b + .quad 0x4aebcc4547e9d98c + + // 2^148 * 1 * G + + .quad 0x53175a7205d21a77 + .quad 0xb0c04422d3b934d4 + .quad 0xadd9f24bdd5deadc + .quad 0x074f46e69f10ff8c + .quad 0x0de9b204a059a445 + .quad 0xe15cb4aa4b17ad0f + .quad 0xe1bbec521f79c557 + .quad 0x2633f1b9d071081b + .quad 0xc1fb4177018b9910 + .quad 0xa6ea20dc6c0fe140 + .quad 0xd661f3e74354c6ff + .quad 0x5ecb72e6f1a3407a + + // 2^148 * 2 * G + + .quad 0xa515a31b2259fb4e + .quad 0x0960f3972bcac52f + .quad 0xedb52fec8d3454cb + .quad 0x382e2720c476c019 + .quad 0xfeeae106e8e86997 + .quad 0x9863337f98d09383 + .quad 0x9470480eaa06ebef + .quad 0x038b6898d4c5c2d0 + .quad 0xf391c51d8ace50a6 + .quad 0x3142d0b9ae2d2948 + .quad 0xdb4d5a1a7f24ca80 + .quad 0x21aeba8b59250ea8 + + // 2^148 * 3 * G + + .quad 0x24f13b34cf405530 + .quad 0x3c44ea4a43088af7 + .quad 0x5dd5c5170006a482 + .quad 0x118eb8f8890b086d + .quad 0x53853600f0087f23 + .quad 0x4c461879da7d5784 + .quad 0x6af303deb41f6860 + .quad 0x0a3c16c5c27c18ed + .quad 0x17e49c17cc947f3d + .quad 0xccc6eda6aac1d27b + .quad 0xdf6092ceb0f08e56 + .quad 0x4909b3e22c67c36b + + // 2^148 * 4 * G + + .quad 0x9c9c85ea63fe2e89 + .quad 0xbe1baf910e9412ec + .quad 0x8f7baa8a86fbfe7b + .quad 0x0fb17f9fef968b6c + .quad 0x59a16676706ff64e + .quad 0x10b953dd0d86a53d + .quad 0x5848e1e6ce5c0b96 + .quad 0x2d8b78e712780c68 + .quad 0x79d5c62eafc3902b + .quad 0x773a215289e80728 + .quad 0xc38ae640e10120b9 + .quad 0x09ae23717b2b1a6d + + // 2^148 * 5 * G + + .quad 0xbb6a192a4e4d083c + .quad 0x34ace0630029e192 + .quad 0x98245a59aafabaeb + .quad 0x6d9c8a9ada97faac + .quad 0x10ab8fa1ad32b1d0 + .quad 0xe9aced1be2778b24 + .quad 0xa8856bc0373de90f + .quad 0x66f35ddddda53996 + .quad 0xd27d9afb24997323 + .quad 0x1bb7e07ef6f01d2e + .quad 0x2ba7472df52ecc7f + .quad 0x03019b4f646f9dc8 + + // 2^148 * 6 * G + + .quad 0x04a186b5565345cd + .quad 0xeee76610bcc4116a + .quad 0x689c73b478fb2a45 + .quad 0x387dcbff65697512 + .quad 0xaf09b214e6b3dc6b + .quad 0x3f7573b5ad7d2f65 + .quad 0xd019d988100a23b0 + .quad 0x392b63a58b5c35f7 + .quad 0x4093addc9c07c205 + .quad 0xc565be15f532c37e + .quad 0x63dbecfd1583402a + .quad 0x61722b4aef2e032e + + // 2^148 * 7 * G + + .quad 0x0012aafeecbd47af + .quad 0x55a266fb1cd46309 + .quad 0xf203eb680967c72c + .quad 0x39633944ca3c1429 + .quad 0xd6b07a5581cb0e3c + .quad 0x290ff006d9444969 + .quad 0x08680b6a16dcda1f + .quad 0x5568d2b75a06de59 + .quad 0x8d0cb88c1b37cfe1 + .quad 0x05b6a5a3053818f3 + .quad 0xf2e9bc04b787d959 + .quad 0x6beba1249add7f64 + + // 2^148 * 8 * G + + .quad 0x1d06005ca5b1b143 + .quad 0x6d4c6bb87fd1cda2 + .quad 0x6ef5967653fcffe7 + .quad 0x097c29e8c1ce1ea5 + .quad 0x5c3cecb943f5a53b + .quad 0x9cc9a61d06c08df2 + .quad 0xcfba639a85895447 + .quad 0x5a845ae80df09fd5 + .quad 0x4ce97dbe5deb94ca + .quad 0x38d0a4388c709c48 + .quad 0xc43eced4a169d097 + .quad 0x0a1249fff7e587c3 + + // 2^152 * 1 * G + + .quad 0x12f0071b276d01c9 + .quad 0xe7b8bac586c48c70 + .quad 0x5308129b71d6fba9 + .quad 0x5d88fbf95a3db792 + .quad 0x0b408d9e7354b610 + .quad 0x806b32535ba85b6e + .quad 0xdbe63a034a58a207 + .quad 0x173bd9ddc9a1df2c + .quad 0x2b500f1efe5872df + .quad 0x58d6582ed43918c1 + .quad 0xe6ed278ec9673ae0 + .quad 0x06e1cd13b19ea319 + + // 2^152 * 2 * G + + .quad 0x40d0ad516f166f23 + .quad 0x118e32931fab6abe + .quad 0x3fe35e14a04d088e + .quad 0x3080603526e16266 + .quad 0x472baf629e5b0353 + .quad 0x3baa0b90278d0447 + .quad 0x0c785f469643bf27 + .quad 0x7f3a6a1a8d837b13 + .quad 0xf7e644395d3d800b + .quad 0x95a8d555c901edf6 + .quad 0x68cd7830592c6339 + .quad 0x30d0fded2e51307e + + // 2^152 * 3 * G + + .quad 0xe0594d1af21233b3 + .quad 0x1bdbe78ef0cc4d9c + .quad 0x6965187f8f499a77 + .quad 0x0a9214202c099868 + .quad 0x9cb4971e68b84750 + .quad 0xa09572296664bbcf + .quad 0x5c8de72672fa412b + .quad 0x4615084351c589d9 + .quad 0xbc9019c0aeb9a02e + .quad 0x55c7110d16034cae + .quad 0x0e6df501659932ec + .quad 0x3bca0d2895ca5dfe + + // 2^152 * 4 * G + + .quad 0x40f031bc3c5d62a4 + .quad 0x19fc8b3ecff07a60 + .quad 0x98183da2130fb545 + .quad 0x5631deddae8f13cd + .quad 0x9c688eb69ecc01bf + .quad 0xf0bc83ada644896f + .quad 0xca2d955f5f7a9fe2 + .quad 0x4ea8b4038df28241 + .quad 0x2aed460af1cad202 + .quad 0x46305305a48cee83 + .quad 0x9121774549f11a5f + .quad 0x24ce0930542ca463 + + // 2^152 * 5 * G + + .quad 0x1fe890f5fd06c106 + .quad 0xb5c468355d8810f2 + .quad 0x827808fe6e8caf3e + .quad 0x41d4e3c28a06d74b + .quad 0x3fcfa155fdf30b85 + .quad 0xd2f7168e36372ea4 + .quad 0xb2e064de6492f844 + .quad 0x549928a7324f4280 + .quad 0xf26e32a763ee1a2e + .quad 0xae91e4b7d25ffdea + .quad 0xbc3bd33bd17f4d69 + .quad 0x491b66dec0dcff6a + + // 2^152 * 6 * G + + .quad 0x98f5b13dc7ea32a7 + .quad 0xe3d5f8cc7e16db98 + .quad 0xac0abf52cbf8d947 + .quad 0x08f338d0c85ee4ac + .quad 0x75f04a8ed0da64a1 + .quad 0xed222caf67e2284b + .quad 0x8234a3791f7b7ba4 + .quad 0x4cf6b8b0b7018b67 + .quad 0xc383a821991a73bd + .quad 0xab27bc01df320c7a + .quad 0xc13d331b84777063 + .quad 0x530d4a82eb078a99 + + // 2^152 * 7 * G + + .quad 0x004c3630e1f94825 + .quad 0x7e2d78268cab535a + .quad 0xc7482323cc84ff8b + .quad 0x65ea753f101770b9 + .quad 0x6d6973456c9abf9e + .quad 0x257fb2fc4900a880 + .quad 0x2bacf412c8cfb850 + .quad 0x0db3e7e00cbfbd5b + .quad 0x3d66fc3ee2096363 + .quad 0x81d62c7f61b5cb6b + .quad 0x0fbe044213443b1a + .quad 0x02a4ec1921e1a1db + + // 2^152 * 8 * G + + .quad 0x5ce6259a3b24b8a2 + .quad 0xb8577acc45afa0b8 + .quad 0xcccbe6e88ba07037 + .quad 0x3d143c51127809bf + .quad 0xf5c86162f1cf795f + .quad 0x118c861926ee57f2 + .quad 0x172124851c063578 + .quad 0x36d12b5dec067fcf + .quad 0x126d279179154557 + .quad 0xd5e48f5cfc783a0a + .quad 0x36bdb6e8df179bac + .quad 0x2ef517885ba82859 + + // 2^156 * 1 * G + + .quad 0x88bd438cd11e0d4a + .quad 0x30cb610d43ccf308 + .quad 0xe09a0e3791937bcc + .quad 0x4559135b25b1720c + .quad 0x1ea436837c6da1e9 + .quad 0xf9c189af1fb9bdbe + .quad 0x303001fcce5dd155 + .quad 0x28a7c99ebc57be52 + .quad 0xb8fd9399e8d19e9d + .quad 0x908191cb962423ff + .quad 0xb2b948d747c742a3 + .quad 0x37f33226d7fb44c4 + + // 2^156 * 2 * G + + .quad 0x0dae8767b55f6e08 + .quad 0x4a43b3b35b203a02 + .quad 0xe3725a6e80af8c79 + .quad 0x0f7a7fd1705fa7a3 + .quad 0x33912553c821b11d + .quad 0x66ed42c241e301df + .quad 0x066fcc11104222fd + .quad 0x307a3b41c192168f + .quad 0x8eeb5d076eb55ce0 + .quad 0x2fc536bfaa0d925a + .quad 0xbe81830fdcb6c6e8 + .quad 0x556c7045827baf52 + + // 2^156 * 3 * G + + .quad 0x8e2b517302e9d8b7 + .quad 0xe3e52269248714e8 + .quad 0xbd4fbd774ca960b5 + .quad 0x6f4b4199c5ecada9 + .quad 0xb94b90022bf44406 + .quad 0xabd4237eff90b534 + .quad 0x7600a960faf86d3a + .quad 0x2f45abdac2322ee3 + .quad 0x61af4912c8ef8a6a + .quad 0xe58fa4fe43fb6e5e + .quad 0xb5afcc5d6fd427cf + .quad 0x6a5393281e1e11eb + + // 2^156 * 4 * G + + .quad 0xf3da5139a5d1ee89 + .quad 0x8145457cff936988 + .quad 0x3f622fed00e188c4 + .quad 0x0f513815db8b5a3d + .quad 0x0fff04fe149443cf + .quad 0x53cac6d9865cddd7 + .quad 0x31385b03531ed1b7 + .quad 0x5846a27cacd1039d + .quad 0x4ff5cdac1eb08717 + .quad 0x67e8b29590f2e9bc + .quad 0x44093b5e237afa99 + .quad 0x0d414bed8708b8b2 + + // 2^156 * 5 * G + + .quad 0xcfb68265fd0e75f6 + .quad 0xe45b3e28bb90e707 + .quad 0x7242a8de9ff92c7a + .quad 0x685b3201933202dd + .quad 0x81886a92294ac9e8 + .quad 0x23162b45d55547be + .quad 0x94cfbc4403715983 + .quad 0x50eb8fdb134bc401 + .quad 0xc0b73ec6d6b330cd + .quad 0x84e44807132faff1 + .quad 0x732b7352c4a5dee1 + .quad 0x5d7c7cf1aa7cd2d2 + + // 2^156 * 6 * G + + .quad 0xaf3b46bf7a4aafa2 + .quad 0xb78705ec4d40d411 + .quad 0x114f0c6aca7c15e3 + .quad 0x3f364faaa9489d4d + .quad 0x33d1013e9b73a562 + .quad 0x925cef5748ec26e1 + .quad 0xa7fce614dd468058 + .quad 0x78b0fad41e9aa438 + .quad 0xbf56a431ed05b488 + .quad 0xa533e66c9c495c7e + .quad 0xe8652baf87f3651a + .quad 0x0241800059d66c33 + + // 2^156 * 7 * G + + .quad 0xceb077fea37a5be4 + .quad 0xdb642f02e5a5eeb7 + .quad 0xc2e6d0c5471270b8 + .quad 0x4771b65538e4529c + .quad 0x28350c7dcf38ea01 + .quad 0x7c6cdbc0b2917ab6 + .quad 0xace7cfbe857082f7 + .quad 0x4d2845aba2d9a1e0 + .quad 0xbb537fe0447070de + .quad 0xcba744436dd557df + .quad 0xd3b5a3473600dbcb + .quad 0x4aeabbe6f9ffd7f8 + + // 2^156 * 8 * G + + .quad 0x4630119e40d8f78c + .quad 0xa01a9bc53c710e11 + .quad 0x486d2b258910dd79 + .quad 0x1e6c47b3db0324e5 + .quad 0x6a2134bcc4a9c8f2 + .quad 0xfbf8fd1c8ace2e37 + .quad 0x000ae3049911a0ba + .quad 0x046e3a616bc89b9e + .quad 0x14e65442f03906be + .quad 0x4a019d54e362be2a + .quad 0x68ccdfec8dc230c7 + .quad 0x7cfb7e3faf6b861c + + // 2^160 * 1 * G + + .quad 0x4637974e8c58aedc + .quad 0xb9ef22fbabf041a4 + .quad 0xe185d956e980718a + .quad 0x2f1b78fab143a8a6 + .quad 0x96eebffb305b2f51 + .quad 0xd3f938ad889596b8 + .quad 0xf0f52dc746d5dd25 + .quad 0x57968290bb3a0095 + .quad 0xf71ab8430a20e101 + .quad 0xf393658d24f0ec47 + .quad 0xcf7509a86ee2eed1 + .quad 0x7dc43e35dc2aa3e1 + + // 2^160 * 2 * G + + .quad 0x85966665887dd9c3 + .quad 0xc90f9b314bb05355 + .quad 0xc6e08df8ef2079b1 + .quad 0x7ef72016758cc12f + .quad 0x5a782a5c273e9718 + .quad 0x3576c6995e4efd94 + .quad 0x0f2ed8051f237d3e + .quad 0x044fb81d82d50a99 + .quad 0xc1df18c5a907e3d9 + .quad 0x57b3371dce4c6359 + .quad 0xca704534b201bb49 + .quad 0x7f79823f9c30dd2e + + // 2^160 * 3 * G + + .quad 0x8334d239a3b513e8 + .quad 0xc13670d4b91fa8d8 + .quad 0x12b54136f590bd33 + .quad 0x0a4e0373d784d9b4 + .quad 0x6a9c1ff068f587ba + .quad 0x0827894e0050c8de + .quad 0x3cbf99557ded5be7 + .quad 0x64a9b0431c06d6f0 + .quad 0x2eb3d6a15b7d2919 + .quad 0xb0b4f6a0d53a8235 + .quad 0x7156ce4389a45d47 + .quad 0x071a7d0ace18346c + + // 2^160 * 4 * G + + .quad 0xd3072daac887ba0b + .quad 0x01262905bfa562ee + .quad 0xcf543002c0ef768b + .quad 0x2c3bcc7146ea7e9c + .quad 0xcc0c355220e14431 + .quad 0x0d65950709b15141 + .quad 0x9af5621b209d5f36 + .quad 0x7c69bcf7617755d3 + .quad 0x07f0d7eb04e8295f + .quad 0x10db18252f50f37d + .quad 0xe951a9a3171798d7 + .quad 0x6f5a9a7322aca51d + + // 2^160 * 5 * G + + .quad 0x8ba1000c2f41c6c5 + .quad 0xc49f79c10cfefb9b + .quad 0x4efa47703cc51c9f + .quad 0x494e21a2e147afca + .quad 0xe729d4eba3d944be + .quad 0x8d9e09408078af9e + .quad 0x4525567a47869c03 + .quad 0x02ab9680ee8d3b24 + .quad 0xefa48a85dde50d9a + .quad 0x219a224e0fb9a249 + .quad 0xfa091f1dd91ef6d9 + .quad 0x6b5d76cbea46bb34 + + // 2^160 * 6 * G + + .quad 0x8857556cec0cd994 + .quad 0x6472dc6f5cd01dba + .quad 0xaf0169148f42b477 + .quad 0x0ae333f685277354 + .quad 0xe0f941171e782522 + .quad 0xf1e6ae74036936d3 + .quad 0x408b3ea2d0fcc746 + .quad 0x16fb869c03dd313e + .quad 0x288e199733b60962 + .quad 0x24fc72b4d8abe133 + .quad 0x4811f7ed0991d03e + .quad 0x3f81e38b8f70d075 + + // 2^160 * 7 * G + + .quad 0x7f910fcc7ed9affe + .quad 0x545cb8a12465874b + .quad 0xa8397ed24b0c4704 + .quad 0x50510fc104f50993 + .quad 0x0adb7f355f17c824 + .quad 0x74b923c3d74299a4 + .quad 0xd57c3e8bcbf8eaf7 + .quad 0x0ad3e2d34cdedc3d + .quad 0x6f0c0fc5336e249d + .quad 0x745ede19c331cfd9 + .quad 0xf2d6fd0009eefe1c + .quad 0x127c158bf0fa1ebe + + // 2^160 * 8 * G + + .quad 0xf6197c422e9879a2 + .quad 0xa44addd452ca3647 + .quad 0x9b413fc14b4eaccb + .quad 0x354ef87d07ef4f68 + .quad 0xdea28fc4ae51b974 + .quad 0x1d9973d3744dfe96 + .quad 0x6240680b873848a8 + .quad 0x4ed82479d167df95 + .quad 0xfee3b52260c5d975 + .quad 0x50352efceb41b0b8 + .quad 0x8808ac30a9f6653c + .quad 0x302d92d20539236d + + // 2^164 * 1 * G + + .quad 0x4c59023fcb3efb7c + .quad 0x6c2fcb99c63c2a94 + .quad 0xba4190e2c3c7e084 + .quad 0x0e545daea51874d9 + .quad 0x957b8b8b0df53c30 + .quad 0x2a1c770a8e60f098 + .quad 0xbbc7a670345796de + .quad 0x22a48f9a90c99bc9 + .quad 0x6b7dc0dc8d3fac58 + .quad 0x5497cd6ce6e42bfd + .quad 0x542f7d1bf400d305 + .quad 0x4159f47f048d9136 + + // 2^164 * 2 * G + + .quad 0x20ad660839e31e32 + .quad 0xf81e1bd58405be50 + .quad 0xf8064056f4dabc69 + .quad 0x14d23dd4ce71b975 + .quad 0x748515a8bbd24839 + .quad 0x77128347afb02b55 + .quad 0x50ba2ac649a2a17f + .quad 0x060525513ad730f1 + .quad 0xf2398e098aa27f82 + .quad 0x6d7982bb89a1b024 + .quad 0xfa694084214dd24c + .quad 0x71ab966fa32301c3 + + // 2^164 * 3 * G + + .quad 0x2dcbd8e34ded02fc + .quad 0x1151f3ec596f22aa + .quad 0xbca255434e0328da + .quad 0x35768fbe92411b22 + .quad 0xb1088a0702809955 + .quad 0x43b273ea0b43c391 + .quad 0xca9b67aefe0686ed + .quad 0x605eecbf8335f4ed + .quad 0x83200a656c340431 + .quad 0x9fcd71678ee59c2f + .quad 0x75d4613f71300f8a + .quad 0x7a912faf60f542f9 + + // 2^164 * 4 * G + + .quad 0xb204585e5edc1a43 + .quad 0x9f0e16ee5897c73c + .quad 0x5b82c0ae4e70483c + .quad 0x624a170e2bddf9be + .quad 0x253f4f8dfa2d5597 + .quad 0x25e49c405477130c + .quad 0x00c052e5996b1102 + .quad 0x33cb966e33bb6c4a + .quad 0x597028047f116909 + .quad 0x828ac41c1e564467 + .quad 0x70417dbde6217387 + .quad 0x721627aefbac4384 + + // 2^164 * 5 * G + + .quad 0x97d03bc38736add5 + .quad 0x2f1422afc532b130 + .quad 0x3aa68a057101bbc4 + .quad 0x4c946cf7e74f9fa7 + .quad 0xfd3097bc410b2f22 + .quad 0xf1a05da7b5cfa844 + .quad 0x61289a1def57ca74 + .quad 0x245ea199bb821902 + .quad 0xaedca66978d477f8 + .quad 0x1898ba3c29117fe1 + .quad 0xcf73f983720cbd58 + .quad 0x67da12e6b8b56351 + + // 2^164 * 6 * G + + .quad 0x7067e187b4bd6e07 + .quad 0x6e8f0203c7d1fe74 + .quad 0x93c6aa2f38c85a30 + .quad 0x76297d1f3d75a78a + .quad 0x2b7ef3d38ec8308c + .quad 0x828fd7ec71eb94ab + .quad 0x807c3b36c5062abd + .quad 0x0cb64cb831a94141 + .quad 0x3030fc33534c6378 + .quad 0xb9635c5ce541e861 + .quad 0x15d9a9bed9b2c728 + .quad 0x49233ea3f3775dcb + + // 2^164 * 7 * G + + .quad 0x629398fa8dbffc3a + .quad 0xe12fe52dd54db455 + .quad 0xf3be11dfdaf25295 + .quad 0x628b140dce5e7b51 + .quad 0x7b3985fe1c9f249b + .quad 0x4fd6b2d5a1233293 + .quad 0xceb345941adf4d62 + .quad 0x6987ff6f542de50c + .quad 0x47e241428f83753c + .quad 0x6317bebc866af997 + .quad 0xdabb5b433d1a9829 + .quad 0x074d8d245287fb2d + + // 2^164 * 8 * G + + .quad 0x8337d9cd440bfc31 + .quad 0x729d2ca1af318fd7 + .quad 0xa040a4a4772c2070 + .quad 0x46002ef03a7349be + .quad 0x481875c6c0e31488 + .quad 0x219429b2e22034b4 + .quad 0x7223c98a31283b65 + .quad 0x3420d60b342277f9 + .quad 0xfaa23adeaffe65f7 + .quad 0x78261ed45be0764c + .quad 0x441c0a1e2f164403 + .quad 0x5aea8e567a87d395 + + // 2^168 * 1 * G + + .quad 0x7813c1a2bca4283d + .quad 0xed62f091a1863dd9 + .quad 0xaec7bcb8c268fa86 + .quad 0x10e5d3b76f1cae4c + .quad 0x2dbc6fb6e4e0f177 + .quad 0x04e1bf29a4bd6a93 + .quad 0x5e1966d4787af6e8 + .quad 0x0edc5f5eb426d060 + .quad 0x5453bfd653da8e67 + .quad 0xe9dc1eec24a9f641 + .quad 0xbf87263b03578a23 + .quad 0x45b46c51361cba72 + + // 2^168 * 2 * G + + .quad 0xa9402abf314f7fa1 + .quad 0xe257f1dc8e8cf450 + .quad 0x1dbbd54b23a8be84 + .quad 0x2177bfa36dcb713b + .quad 0xce9d4ddd8a7fe3e4 + .quad 0xab13645676620e30 + .quad 0x4b594f7bb30e9958 + .quad 0x5c1c0aef321229df + .quad 0x37081bbcfa79db8f + .quad 0x6048811ec25f59b3 + .quad 0x087a76659c832487 + .quad 0x4ae619387d8ab5bb + + // 2^168 * 3 * G + + .quad 0x8ddbf6aa5344a32e + .quad 0x7d88eab4b41b4078 + .quad 0x5eb0eb974a130d60 + .quad 0x1a00d91b17bf3e03 + .quad 0x61117e44985bfb83 + .quad 0xfce0462a71963136 + .quad 0x83ac3448d425904b + .quad 0x75685abe5ba43d64 + .quad 0x6e960933eb61f2b2 + .quad 0x543d0fa8c9ff4952 + .quad 0xdf7275107af66569 + .quad 0x135529b623b0e6aa + + // 2^168 * 4 * G + + .quad 0x18f0dbd7add1d518 + .quad 0x979f7888cfc11f11 + .quad 0x8732e1f07114759b + .quad 0x79b5b81a65ca3a01 + .quad 0xf5c716bce22e83fe + .quad 0xb42beb19e80985c1 + .quad 0xec9da63714254aae + .quad 0x5972ea051590a613 + .quad 0x0fd4ac20dc8f7811 + .quad 0x9a9ad294ac4d4fa8 + .quad 0xc01b2d64b3360434 + .quad 0x4f7e9c95905f3bdb + + // 2^168 * 5 * G + + .quad 0x62674bbc5781302e + .quad 0xd8520f3989addc0f + .quad 0x8c2999ae53fbd9c6 + .quad 0x31993ad92e638e4c + .quad 0x71c8443d355299fe + .quad 0x8bcd3b1cdbebead7 + .quad 0x8092499ef1a49466 + .quad 0x1942eec4a144adc8 + .quad 0x7dac5319ae234992 + .quad 0x2c1b3d910cea3e92 + .quad 0x553ce494253c1122 + .quad 0x2a0a65314ef9ca75 + + // 2^168 * 6 * G + + .quad 0x2db7937ff7f927c2 + .quad 0xdb741f0617d0a635 + .quad 0x5982f3a21155af76 + .quad 0x4cf6e218647c2ded + .quad 0xcf361acd3c1c793a + .quad 0x2f9ebcac5a35bc3b + .quad 0x60e860e9a8cda6ab + .quad 0x055dc39b6dea1a13 + .quad 0xb119227cc28d5bb6 + .quad 0x07e24ebc774dffab + .quad 0xa83c78cee4a32c89 + .quad 0x121a307710aa24b6 + + // 2^168 * 7 * G + + .quad 0xe4db5d5e9f034a97 + .quad 0xe153fc093034bc2d + .quad 0x460546919551d3b1 + .quad 0x333fc76c7a40e52d + .quad 0xd659713ec77483c9 + .quad 0x88bfe077b82b96af + .quad 0x289e28231097bcd3 + .quad 0x527bb94a6ced3a9b + .quad 0x563d992a995b482e + .quad 0x3405d07c6e383801 + .quad 0x485035de2f64d8e5 + .quad 0x6b89069b20a7a9f7 + + // 2^168 * 8 * G + + .quad 0x812aa0416270220d + .quad 0x995a89faf9245b4e + .quad 0xffadc4ce5072ef05 + .quad 0x23bc2103aa73eb73 + .quad 0x4082fa8cb5c7db77 + .quad 0x068686f8c734c155 + .quad 0x29e6c8d9f6e7a57e + .quad 0x0473d308a7639bcf + .quad 0xcaee792603589e05 + .quad 0x2b4b421246dcc492 + .quad 0x02a1ef74e601a94f + .quad 0x102f73bfde04341a + + // 2^172 * 1 * G + + .quad 0xb5a2d50c7ec20d3e + .quad 0xc64bdd6ea0c97263 + .quad 0x56e89052c1ff734d + .quad 0x4929c6f72b2ffaba + .quad 0x358ecba293a36247 + .quad 0xaf8f9862b268fd65 + .quad 0x412f7e9968a01c89 + .quad 0x5786f312cd754524 + .quad 0x337788ffca14032c + .quad 0xf3921028447f1ee3 + .quad 0x8b14071f231bccad + .quad 0x4c817b4bf2344783 + + // 2^172 * 2 * G + + .quad 0x0ff853852871b96e + .quad 0xe13e9fab60c3f1bb + .quad 0xeefd595325344402 + .quad 0x0a37c37075b7744b + .quad 0x413ba057a40b4484 + .quad 0xba4c2e1a4f5f6a43 + .quad 0x614ba0a5aee1d61c + .quad 0x78a1531a8b05dc53 + .quad 0x6cbdf1703ad0562b + .quad 0x8ecf4830c92521a3 + .quad 0xdaebd303fd8424e7 + .quad 0x72ad82a42e5ec56f + + // 2^172 * 3 * G + + .quad 0x3f9e8e35bafb65f6 + .quad 0x39d69ec8f27293a1 + .quad 0x6cb8cd958cf6a3d0 + .quad 0x1734778173adae6d + .quad 0xc368939167024bc3 + .quad 0x8e69d16d49502fda + .quad 0xfcf2ec3ce45f4b29 + .quad 0x065f669ea3b4cbc4 + .quad 0x8a00aec75532db4d + .quad 0xb869a4e443e31bb1 + .quad 0x4a0f8552d3a7f515 + .quad 0x19adeb7c303d7c08 + + // 2^172 * 4 * G + + .quad 0xc720cb6153ead9a3 + .quad 0x55b2c97f512b636e + .quad 0xb1e35b5fd40290b1 + .quad 0x2fd9ccf13b530ee2 + .quad 0x9d05ba7d43c31794 + .quad 0x2470c8ff93322526 + .quad 0x8323dec816197438 + .quad 0x2852709881569b53 + .quad 0x07bd475b47f796b8 + .quad 0xd2c7b013542c8f54 + .quad 0x2dbd23f43b24f87e + .quad 0x6551afd77b0901d6 + + // 2^172 * 5 * G + + .quad 0x4546baaf54aac27f + .quad 0xf6f66fecb2a45a28 + .quad 0x582d1b5b562bcfe8 + .quad 0x44b123f3920f785f + .quad 0x68a24ce3a1d5c9ac + .quad 0xbb77a33d10ff6461 + .quad 0x0f86ce4425d3166e + .quad 0x56507c0950b9623b + .quad 0x1206f0b7d1713e63 + .quad 0x353fe3d915bafc74 + .quad 0x194ceb970ad9d94d + .quad 0x62fadd7cf9d03ad3 + + // 2^172 * 6 * G + + .quad 0xc6b5967b5598a074 + .quad 0x5efe91ce8e493e25 + .quad 0xd4b72c4549280888 + .quad 0x20ef1149a26740c2 + .quad 0x3cd7bc61e7ce4594 + .quad 0xcd6b35a9b7dd267e + .quad 0xa080abc84366ef27 + .quad 0x6ec7c46f59c79711 + .quad 0x2f07ad636f09a8a2 + .quad 0x8697e6ce24205e7d + .quad 0xc0aefc05ee35a139 + .quad 0x15e80958b5f9d897 + + // 2^172 * 7 * G + + .quad 0x25a5ef7d0c3e235b + .quad 0x6c39c17fbe134ee7 + .quad 0xc774e1342dc5c327 + .quad 0x021354b892021f39 + .quad 0x4dd1ed355bb061c4 + .quad 0x42dc0cef941c0700 + .quad 0x61305dc1fd86340e + .quad 0x56b2cc930e55a443 + .quad 0x1df79da6a6bfc5a2 + .quad 0x02f3a2749fde4369 + .quad 0xb323d9f2cda390a7 + .quad 0x7be0847b8774d363 + + // 2^172 * 8 * G + + .quad 0x8c99cc5a8b3f55c3 + .quad 0x0611d7253fded2a0 + .quad 0xed2995ff36b70a36 + .quad 0x1f699a54d78a2619 + .quad 0x1466f5af5307fa11 + .quad 0x817fcc7ded6c0af2 + .quad 0x0a6de44ec3a4a3fb + .quad 0x74071475bc927d0b + .quad 0xe77292f373e7ea8a + .quad 0x296537d2cb045a31 + .quad 0x1bd0653ed3274fde + .quad 0x2f9a2c4476bd2966 + + // 2^176 * 1 * G + + .quad 0xeb18b9ab7f5745c6 + .quad 0x023a8aee5787c690 + .quad 0xb72712da2df7afa9 + .quad 0x36597d25ea5c013d + .quad 0xa2b4dae0b5511c9a + .quad 0x7ac860292bffff06 + .quad 0x981f375df5504234 + .quad 0x3f6bd725da4ea12d + .quad 0x734d8d7b106058ac + .quad 0xd940579e6fc6905f + .quad 0x6466f8f99202932d + .quad 0x7b7ecc19da60d6d0 + + // 2^176 * 2 * G + + .quad 0x78c2373c695c690d + .quad 0xdd252e660642906e + .quad 0x951d44444ae12bd2 + .quad 0x4235ad7601743956 + .quad 0x6dae4a51a77cfa9b + .quad 0x82263654e7a38650 + .quad 0x09bbffcd8f2d82db + .quad 0x03bedc661bf5caba + .quad 0x6258cb0d078975f5 + .quad 0x492942549189f298 + .quad 0xa0cab423e2e36ee4 + .quad 0x0e7ce2b0cdf066a1 + + // 2^176 * 3 * G + + .quad 0xc494643ac48c85a3 + .quad 0xfd361df43c6139ad + .quad 0x09db17dd3ae94d48 + .quad 0x666e0a5d8fb4674a + .quad 0xfea6fedfd94b70f9 + .quad 0xf130c051c1fcba2d + .quad 0x4882d47e7f2fab89 + .quad 0x615256138aeceeb5 + .quad 0x2abbf64e4870cb0d + .quad 0xcd65bcf0aa458b6b + .quad 0x9abe4eba75e8985d + .quad 0x7f0bc810d514dee4 + + // 2^176 * 4 * G + + .quad 0xb9006ba426f4136f + .quad 0x8d67369e57e03035 + .quad 0xcbc8dfd94f463c28 + .quad 0x0d1f8dbcf8eedbf5 + .quad 0x83ac9dad737213a0 + .quad 0x9ff6f8ba2ef72e98 + .quad 0x311e2edd43ec6957 + .quad 0x1d3a907ddec5ab75 + .quad 0xba1693313ed081dc + .quad 0x29329fad851b3480 + .quad 0x0128013c030321cb + .quad 0x00011b44a31bfde3 + + // 2^176 * 5 * G + + .quad 0x3fdfa06c3fc66c0c + .quad 0x5d40e38e4dd60dd2 + .quad 0x7ae38b38268e4d71 + .quad 0x3ac48d916e8357e1 + .quad 0x16561f696a0aa75c + .quad 0xc1bf725c5852bd6a + .quad 0x11a8dd7f9a7966ad + .quad 0x63d988a2d2851026 + .quad 0x00120753afbd232e + .quad 0xe92bceb8fdd8f683 + .quad 0xf81669b384e72b91 + .quad 0x33fad52b2368a066 + + // 2^176 * 6 * G + + .quad 0x540649c6c5e41e16 + .quad 0x0af86430333f7735 + .quad 0xb2acfcd2f305e746 + .quad 0x16c0f429a256dca7 + .quad 0x8d2cc8d0c422cfe8 + .quad 0x072b4f7b05a13acb + .quad 0xa3feb6e6ecf6a56f + .quad 0x3cc355ccb90a71e2 + .quad 0xe9b69443903e9131 + .quad 0xb8a494cb7a5637ce + .quad 0xc87cd1a4baba9244 + .quad 0x631eaf426bae7568 + + // 2^176 * 7 * G + + .quad 0xb3e90410da66fe9f + .quad 0x85dd4b526c16e5a6 + .quad 0xbc3d97611ef9bf83 + .quad 0x5599648b1ea919b5 + .quad 0x47d975b9a3700de8 + .quad 0x7280c5fbe2f80552 + .quad 0x53658f2732e45de1 + .quad 0x431f2c7f665f80b5 + .quad 0xd6026344858f7b19 + .quad 0x14ab352fa1ea514a + .quad 0x8900441a2090a9d7 + .quad 0x7b04715f91253b26 + + // 2^176 * 8 * G + + .quad 0x83edbd28acf6ae43 + .quad 0x86357c8b7d5c7ab4 + .quad 0xc0404769b7eb2c44 + .quad 0x59b37bf5c2f6583f + .quad 0xb376c280c4e6bac6 + .quad 0x970ed3dd6d1d9b0b + .quad 0xb09a9558450bf944 + .quad 0x48d0acfa57cde223 + .quad 0xb60f26e47dabe671 + .quad 0xf1d1a197622f3a37 + .quad 0x4208ce7ee9960394 + .quad 0x16234191336d3bdb + + // 2^180 * 1 * G + + .quad 0xf19aeac733a63aef + .quad 0x2c7fba5d4442454e + .quad 0x5da87aa04795e441 + .quad 0x413051e1a4e0b0f5 + .quad 0x852dd1fd3d578bbe + .quad 0x2b65ce72c3286108 + .quad 0x658c07f4eace2273 + .quad 0x0933f804ec38ab40 + .quad 0xa7ab69798d496476 + .quad 0x8121aadefcb5abc8 + .quad 0xa5dc12ef7b539472 + .quad 0x07fd47065e45351a + + // 2^180 * 2 * G + + .quad 0xc8583c3d258d2bcd + .quad 0x17029a4daf60b73f + .quad 0xfa0fc9d6416a3781 + .quad 0x1c1e5fba38b3fb23 + .quad 0x304211559ae8e7c3 + .quad 0xf281b229944882a5 + .quad 0x8a13ac2e378250e4 + .quad 0x014afa0954ba48f4 + .quad 0xcb3197001bb3666c + .quad 0x330060524bffecb9 + .quad 0x293711991a88233c + .quad 0x291884363d4ed364 + + // 2^180 * 3 * G + + .quad 0x033c6805dc4babfa + .quad 0x2c15bf5e5596ecc1 + .quad 0x1bc70624b59b1d3b + .quad 0x3ede9850a19f0ec5 + .quad 0xfb9d37c3bc1ab6eb + .quad 0x02be14534d57a240 + .quad 0xf4d73415f8a5e1f6 + .quad 0x5964f4300ccc8188 + .quad 0xe44a23152d096800 + .quad 0x5c08c55970866996 + .quad 0xdf2db60a46affb6e + .quad 0x579155c1f856fd89 + + // 2^180 * 4 * G + + .quad 0x96324edd12e0c9ef + .quad 0x468b878df2420297 + .quad 0x199a3776a4f573be + .quad 0x1e7fbcf18e91e92a + .quad 0xb5f16b630817e7a6 + .quad 0x808c69233c351026 + .quad 0x324a983b54cef201 + .quad 0x53c092084a485345 + .quad 0xd2d41481f1cbafbf + .quad 0x231d2db6716174e5 + .quad 0x0b7d7656e2a55c98 + .quad 0x3e955cd82aa495f6 + + // 2^180 * 5 * G + + .quad 0xe48f535e3ed15433 + .quad 0xd075692a0d7270a3 + .quad 0x40fbd21daade6387 + .quad 0x14264887cf4495f5 + .quad 0xab39f3ef61bb3a3f + .quad 0x8eb400652eb9193e + .quad 0xb5de6ecc38c11f74 + .quad 0x654d7e9626f3c49f + .quad 0xe564cfdd5c7d2ceb + .quad 0x82eeafded737ccb9 + .quad 0x6107db62d1f9b0ab + .quad 0x0b6baac3b4358dbb + + // 2^180 * 6 * G + + .quad 0x7ae62bcb8622fe98 + .quad 0x47762256ceb891af + .quad 0x1a5a92bcf2e406b4 + .quad 0x7d29401784e41501 + .quad 0x204abad63700a93b + .quad 0xbe0023d3da779373 + .quad 0xd85f0346633ab709 + .quad 0x00496dc490820412 + .quad 0x1c74b88dc27e6360 + .quad 0x074854268d14850c + .quad 0xa145fb7b3e0dcb30 + .quad 0x10843f1b43803b23 + + // 2^180 * 7 * G + + .quad 0xc5f90455376276dd + .quad 0xce59158dd7645cd9 + .quad 0x92f65d511d366b39 + .quad 0x11574b6e526996c4 + .quad 0xd56f672de324689b + .quad 0xd1da8aedb394a981 + .quad 0xdd7b58fe9168cfed + .quad 0x7ce246cd4d56c1e8 + .quad 0xb8f4308e7f80be53 + .quad 0x5f3cb8cb34a9d397 + .quad 0x18a961bd33cc2b2c + .quad 0x710045fb3a9af671 + + // 2^180 * 8 * G + + .quad 0x73f93d36101b95eb + .quad 0xfaef33794f6f4486 + .quad 0x5651735f8f15e562 + .quad 0x7fa3f19058b40da1 + .quad 0xa03fc862059d699e + .quad 0x2370cfa19a619e69 + .quad 0xc4fe3b122f823deb + .quad 0x1d1b056fa7f0844e + .quad 0x1bc64631e56bf61f + .quad 0xd379ab106e5382a3 + .quad 0x4d58c57e0540168d + .quad 0x566256628442d8e4 + + // 2^184 * 1 * G + + .quad 0xb9e499def6267ff6 + .quad 0x7772ca7b742c0843 + .quad 0x23a0153fe9a4f2b1 + .quad 0x2cdfdfecd5d05006 + .quad 0xdd499cd61ff38640 + .quad 0x29cd9bc3063625a0 + .quad 0x51e2d8023dd73dc3 + .quad 0x4a25707a203b9231 + .quad 0x2ab7668a53f6ed6a + .quad 0x304242581dd170a1 + .quad 0x4000144c3ae20161 + .quad 0x5721896d248e49fc + + // 2^184 * 2 * G + + .quad 0x0b6e5517fd181bae + .quad 0x9022629f2bb963b4 + .quad 0x5509bce932064625 + .quad 0x578edd74f63c13da + .quad 0x285d5091a1d0da4e + .quad 0x4baa6fa7b5fe3e08 + .quad 0x63e5177ce19393b3 + .quad 0x03c935afc4b030fd + .quad 0x997276c6492b0c3d + .quad 0x47ccc2c4dfe205fc + .quad 0xdcd29b84dd623a3c + .quad 0x3ec2ab590288c7a2 + + // 2^184 * 3 * G + + .quad 0xa1a0d27be4d87bb9 + .quad 0xa98b4deb61391aed + .quad 0x99a0ddd073cb9b83 + .quad 0x2dd5c25a200fcace + .quad 0xa7213a09ae32d1cb + .quad 0x0f2b87df40f5c2d5 + .quad 0x0baea4c6e81eab29 + .quad 0x0e1bf66c6adbac5e + .quad 0xe2abd5e9792c887e + .quad 0x1a020018cb926d5d + .quad 0xbfba69cdbaae5f1e + .quad 0x730548b35ae88f5f + + // 2^184 * 4 * G + + .quad 0xc43551a3cba8b8ee + .quad 0x65a26f1db2115f16 + .quad 0x760f4f52ab8c3850 + .quad 0x3043443b411db8ca + .quad 0x805b094ba1d6e334 + .quad 0xbf3ef17709353f19 + .quad 0x423f06cb0622702b + .quad 0x585a2277d87845dd + .quad 0xa18a5f8233d48962 + .quad 0x6698c4b5ec78257f + .quad 0xa78e6fa5373e41ff + .quad 0x7656278950ef981f + + // 2^184 * 5 * G + + .quad 0x38c3cf59d51fc8c0 + .quad 0x9bedd2fd0506b6f2 + .quad 0x26bf109fab570e8f + .quad 0x3f4160a8c1b846a6 + .quad 0xe17073a3ea86cf9d + .quad 0x3a8cfbb707155fdc + .quad 0x4853e7fc31838a8e + .quad 0x28bbf484b613f616 + .quad 0xf2612f5c6f136c7c + .quad 0xafead107f6dd11be + .quad 0x527e9ad213de6f33 + .quad 0x1e79cb358188f75d + + // 2^184 * 6 * G + + .quad 0x013436c3eef7e3f1 + .quad 0x828b6a7ffe9e10f8 + .quad 0x7ff908e5bcf9defc + .quad 0x65d7951b3a3b3831 + .quad 0x77e953d8f5e08181 + .quad 0x84a50c44299dded9 + .quad 0xdc6c2d0c864525e5 + .quad 0x478ab52d39d1f2f4 + .quad 0x66a6a4d39252d159 + .quad 0xe5dde1bc871ac807 + .quad 0xb82c6b40a6c1c96f + .quad 0x16d87a411a212214 + + // 2^184 * 7 * G + + .quad 0xb3bd7e5a42066215 + .quad 0x879be3cd0c5a24c1 + .quad 0x57c05db1d6f994b7 + .quad 0x28f87c8165f38ca6 + .quad 0xfba4d5e2d54e0583 + .quad 0xe21fafd72ebd99fa + .quad 0x497ac2736ee9778f + .quad 0x1f990b577a5a6dde + .quad 0xa3344ead1be8f7d6 + .quad 0x7d1e50ebacea798f + .quad 0x77c6569e520de052 + .quad 0x45882fe1534d6d3e + + // 2^184 * 8 * G + + .quad 0x6669345d757983d6 + .quad 0x62b6ed1117aa11a6 + .quad 0x7ddd1857985e128f + .quad 0x688fe5b8f626f6dd + .quad 0xd8ac9929943c6fe4 + .quad 0xb5f9f161a38392a2 + .quad 0x2699db13bec89af3 + .quad 0x7dcf843ce405f074 + .quad 0x6c90d6484a4732c0 + .quad 0xd52143fdca563299 + .quad 0xb3be28c3915dc6e1 + .quad 0x6739687e7327191b + + // 2^188 * 1 * G + + .quad 0x9f65c5ea200814cf + .quad 0x840536e169a31740 + .quad 0x8b0ed13925c8b4ad + .quad 0x0080dbafe936361d + .quad 0x8ce5aad0c9cb971f + .quad 0x1156aaa99fd54a29 + .quad 0x41f7247015af9b78 + .quad 0x1fe8cca8420f49aa + .quad 0x72a1848f3c0cc82a + .quad 0x38c560c2877c9e54 + .quad 0x5004e228ce554140 + .quad 0x042418a103429d71 + + // 2^188 * 2 * G + + .quad 0x899dea51abf3ff5f + .quad 0x9b93a8672fc2d8ba + .quad 0x2c38cb97be6ebd5c + .quad 0x114d578497263b5d + .quad 0x58e84c6f20816247 + .quad 0x8db2b2b6e36fd793 + .quad 0x977182561d484d85 + .quad 0x0822024f8632abd7 + .quad 0xb301bb7c6b1beca3 + .quad 0x55393f6dc6eb1375 + .quad 0x910d281097b6e4eb + .quad 0x1ad4548d9d479ea3 + + // 2^188 * 3 * G + + .quad 0xcd5a7da0389a48fd + .quad 0xb38fa4aa9a78371e + .quad 0xc6d9761b2cdb8e6c + .quad 0x35cf51dbc97e1443 + .quad 0xa06fe66d0fe9fed3 + .quad 0xa8733a401c587909 + .quad 0x30d14d800df98953 + .quad 0x41ce5876c7b30258 + .quad 0x59ac3bc5d670c022 + .quad 0xeae67c109b119406 + .quad 0x9798bdf0b3782fda + .quad 0x651e3201fd074092 + + // 2^188 * 4 * G + + .quad 0xd63d8483ef30c5cf + .quad 0x4cd4b4962361cc0c + .quad 0xee90e500a48426ac + .quad 0x0af51d7d18c14eeb + .quad 0xa57ba4a01efcae9e + .quad 0x769f4beedc308a94 + .quad 0xd1f10eeb3603cb2e + .quad 0x4099ce5e7e441278 + .quad 0x1ac98e4f8a5121e9 + .quad 0x7dae9544dbfa2fe0 + .quad 0x8320aa0dd6430df9 + .quad 0x667282652c4a2fb5 + + // 2^188 * 5 * G + + .quad 0x874621f4d86bc9ab + .quad 0xb54c7bbe56fe6fea + .quad 0x077a24257fadc22c + .quad 0x1ab53be419b90d39 + .quad 0xada8b6e02946db23 + .quad 0x1c0ce51a7b253ab7 + .quad 0x8448c85a66dd485b + .quad 0x7f1fc025d0675adf + .quad 0xd8ee1b18319ea6aa + .quad 0x004d88083a21f0da + .quad 0x3bd6aa1d883a4f4b + .quad 0x4db9a3a6dfd9fd14 + + // 2^188 * 6 * G + + .quad 0x8ce7b23bb99c0755 + .quad 0x35c5d6edc4f50f7a + .quad 0x7e1e2ed2ed9b50c3 + .quad 0x36305f16e8934da1 + .quad 0xd95b00bbcbb77c68 + .quad 0xddbc846a91f17849 + .quad 0x7cf700aebe28d9b3 + .quad 0x5ce1285c85d31f3e + .quad 0x31b6972d98b0bde8 + .quad 0x7d920706aca6de5b + .quad 0xe67310f8908a659f + .quad 0x50fac2a6efdf0235 + + // 2^188 * 7 * G + + .quad 0xf3d3a9f35b880f5a + .quad 0xedec050cdb03e7c2 + .quad 0xa896981ff9f0b1a2 + .quad 0x49a4ae2bac5e34a4 + .quad 0x295b1c86f6f449bc + .quad 0x51b2e84a1f0ab4dd + .quad 0xc001cb30aa8e551d + .quad 0x6a28d35944f43662 + .quad 0x28bb12ee04a740e0 + .quad 0x14313bbd9bce8174 + .quad 0x72f5b5e4e8c10c40 + .quad 0x7cbfb19936adcd5b + + // 2^188 * 8 * G + + .quad 0xa311ddc26b89792d + .quad 0x1b30b4c6da512664 + .quad 0x0ca77b4ccf150859 + .quad 0x1de443df1b009408 + .quad 0x8e793a7acc36e6e0 + .quad 0xf9fab7a37d586eed + .quad 0x3a4f9692bae1f4e4 + .quad 0x1c14b03eff5f447e + .quad 0x19647bd114a85291 + .quad 0x57b76cb21034d3af + .quad 0x6329db440f9d6dfa + .quad 0x5ef43e586a571493 + + // 2^192 * 1 * G + + .quad 0xef782014385675a6 + .quad 0xa2649f30aafda9e8 + .quad 0x4cd1eb505cdfa8cb + .quad 0x46115aba1d4dc0b3 + .quad 0xa66dcc9dc80c1ac0 + .quad 0x97a05cf41b38a436 + .quad 0xa7ebf3be95dbd7c6 + .quad 0x7da0b8f68d7e7dab + .quad 0xd40f1953c3b5da76 + .quad 0x1dac6f7321119e9b + .quad 0x03cc6021feb25960 + .quad 0x5a5f887e83674b4b + + // 2^192 * 2 * G + + .quad 0x8f6301cf70a13d11 + .quad 0xcfceb815350dd0c4 + .quad 0xf70297d4a4bca47e + .quad 0x3669b656e44d1434 + .quad 0x9e9628d3a0a643b9 + .quad 0xb5c3cb00e6c32064 + .quad 0x9b5302897c2dec32 + .quad 0x43e37ae2d5d1c70c + .quad 0x387e3f06eda6e133 + .quad 0x67301d5199a13ac0 + .quad 0xbd5ad8f836263811 + .quad 0x6a21e6cd4fd5e9be + + // 2^192 * 3 * G + + .quad 0xf1c6170a3046e65f + .quad 0x58712a2a00d23524 + .quad 0x69dbbd3c8c82b755 + .quad 0x586bf9f1a195ff57 + .quad 0xef4129126699b2e3 + .quad 0x71d30847708d1301 + .quad 0x325432d01182b0bd + .quad 0x45371b07001e8b36 + .quad 0xa6db088d5ef8790b + .quad 0x5278f0dc610937e5 + .quad 0xac0349d261a16eb8 + .quad 0x0eafb03790e52179 + + // 2^192 * 4 * G + + .quad 0x960555c13748042f + .quad 0x219a41e6820baa11 + .quad 0x1c81f73873486d0c + .quad 0x309acc675a02c661 + .quad 0x5140805e0f75ae1d + .quad 0xec02fbe32662cc30 + .quad 0x2cebdf1eea92396d + .quad 0x44ae3344c5435bb3 + .quad 0x9cf289b9bba543ee + .quad 0xf3760e9d5ac97142 + .quad 0x1d82e5c64f9360aa + .quad 0x62d5221b7f94678f + + // 2^192 * 5 * G + + .quad 0x524c299c18d0936d + .quad 0xc86bb56c8a0c1a0c + .quad 0xa375052edb4a8631 + .quad 0x5c0efde4bc754562 + .quad 0x7585d4263af77a3c + .quad 0xdfae7b11fee9144d + .quad 0xa506708059f7193d + .quad 0x14f29a5383922037 + .quad 0xdf717edc25b2d7f5 + .quad 0x21f970db99b53040 + .quad 0xda9234b7c3ed4c62 + .quad 0x5e72365c7bee093e + + // 2^192 * 6 * G + + .quad 0x575bfc074571217f + .quad 0x3779675d0694d95b + .quad 0x9a0a37bbf4191e33 + .quad 0x77f1104c47b4eabc + .quad 0x7d9339062f08b33e + .quad 0x5b9659e5df9f32be + .quad 0xacff3dad1f9ebdfd + .quad 0x70b20555cb7349b7 + .quad 0xbe5113c555112c4c + .quad 0x6688423a9a881fcd + .quad 0x446677855e503b47 + .quad 0x0e34398f4a06404a + + // 2^192 * 7 * G + + .quad 0xb67d22d93ecebde8 + .quad 0x09b3e84127822f07 + .quad 0x743fa61fb05b6d8d + .quad 0x5e5405368a362372 + .quad 0x18930b093e4b1928 + .quad 0x7de3e10e73f3f640 + .quad 0xf43217da73395d6f + .quad 0x6f8aded6ca379c3e + .quad 0xe340123dfdb7b29a + .quad 0x487b97e1a21ab291 + .quad 0xf9967d02fde6949e + .quad 0x780de72ec8d3de97 + + // 2^192 * 8 * G + + .quad 0x0ae28545089ae7bc + .quad 0x388ddecf1c7f4d06 + .quad 0x38ac15510a4811b8 + .quad 0x0eb28bf671928ce4 + .quad 0x671feaf300f42772 + .quad 0x8f72eb2a2a8c41aa + .quad 0x29a17fd797373292 + .quad 0x1defc6ad32b587a6 + .quad 0xaf5bbe1aef5195a7 + .quad 0x148c1277917b15ed + .quad 0x2991f7fb7ae5da2e + .quad 0x467d201bf8dd2867 + + // 2^196 * 1 * G + + .quad 0x7906ee72f7bd2e6b + .quad 0x05d270d6109abf4e + .quad 0x8d5cfe45b941a8a4 + .quad 0x44c218671c974287 + .quad 0x745f9d56296bc318 + .quad 0x993580d4d8152e65 + .quad 0xb0e5b13f5839e9ce + .quad 0x51fc2b28d43921c0 + .quad 0x1b8fd11795e2a98c + .quad 0x1c4e5ee12b6b6291 + .quad 0x5b30e7107424b572 + .quad 0x6e6b9de84c4f4ac6 + + // 2^196 * 2 * G + + .quad 0xdff25fce4b1de151 + .quad 0xd841c0c7e11c4025 + .quad 0x2554b3c854749c87 + .quad 0x2d292459908e0df9 + .quad 0x6b7c5f10f80cb088 + .quad 0x736b54dc56e42151 + .quad 0xc2b620a5c6ef99c4 + .quad 0x5f4c802cc3a06f42 + .quad 0x9b65c8f17d0752da + .quad 0x881ce338c77ee800 + .quad 0xc3b514f05b62f9e3 + .quad 0x66ed5dd5bec10d48 + + // 2^196 * 3 * G + + .quad 0x7d38a1c20bb2089d + .quad 0x808334e196ccd412 + .quad 0xc4a70b8c6c97d313 + .quad 0x2eacf8bc03007f20 + .quad 0xf0adf3c9cbca047d + .quad 0x81c3b2cbf4552f6b + .quad 0xcfda112d44735f93 + .quad 0x1f23a0c77e20048c + .quad 0xf235467be5bc1570 + .quad 0x03d2d9020dbab38c + .quad 0x27529aa2fcf9e09e + .quad 0x0840bef29d34bc50 + + // 2^196 * 4 * G + + .quad 0x796dfb35dc10b287 + .quad 0x27176bcd5c7ff29d + .quad 0x7f3d43e8c7b24905 + .quad 0x0304f5a191c54276 + .quad 0xcd54e06b7f37e4eb + .quad 0x8cc15f87f5e96cca + .quad 0xb8248bb0d3597dce + .quad 0x246affa06074400c + .quad 0x37d88e68fbe45321 + .quad 0x86097548c0d75032 + .quad 0x4e9b13ef894a0d35 + .quad 0x25a83cac5753d325 + + // 2^196 * 5 * G + + .quad 0x10222f48eed8165e + .quad 0x623fc1234b8bcf3a + .quad 0x1e145c09c221e8f0 + .quad 0x7ccfa59fca782630 + .quad 0x9f0f66293952b6e2 + .quad 0x33db5e0e0934267b + .quad 0xff45252bd609fedc + .quad 0x06be10f5c506e0c9 + .quad 0x1a9615a9b62a345f + .quad 0x22050c564a52fecc + .quad 0xa7a2788528bc0dfe + .quad 0x5e82770a1a1ee71d + + // 2^196 * 6 * G + + .quad 0x35425183ad896a5c + .quad 0xe8673afbe78d52f6 + .quad 0x2c66f25f92a35f64 + .quad 0x09d04f3b3b86b102 + .quad 0xe802e80a42339c74 + .quad 0x34175166a7fffae5 + .quad 0x34865d1f1c408cae + .quad 0x2cca982c605bc5ee + .quad 0xfd2d5d35197dbe6e + .quad 0x207c2eea8be4ffa3 + .quad 0x2613d8db325ae918 + .quad 0x7a325d1727741d3e + + // 2^196 * 7 * G + + .quad 0xd036b9bbd16dfde2 + .quad 0xa2055757c497a829 + .quad 0x8e6cc966a7f12667 + .quad 0x4d3b1a791239c180 + .quad 0xecd27d017e2a076a + .quad 0xd788689f1636495e + .quad 0x52a61af0919233e5 + .quad 0x2a479df17bb1ae64 + .quad 0x9e5eee8e33db2710 + .quad 0x189854ded6c43ca5 + .quad 0xa41c22c592718138 + .quad 0x27ad5538a43a5e9b + + // 2^196 * 8 * G + + .quad 0x2746dd4b15350d61 + .quad 0xd03fcbc8ee9521b7 + .quad 0xe86e365a138672ca + .quad 0x510e987f7e7d89e2 + .quad 0xcb5a7d638e47077c + .quad 0x8db7536120a1c059 + .quad 0x549e1e4d8bedfdcc + .quad 0x080153b7503b179d + .quad 0xdda69d930a3ed3e3 + .quad 0x3d386ef1cd60a722 + .quad 0xc817ad58bdaa4ee6 + .quad 0x23be8d554fe7372a + + // 2^200 * 1 * G + + .quad 0x95fe919a74ef4fad + .quad 0x3a827becf6a308a2 + .quad 0x964e01d309a47b01 + .quad 0x71c43c4f5ba3c797 + .quad 0xbc1ef4bd567ae7a9 + .quad 0x3f624cb2d64498bd + .quad 0xe41064d22c1f4ec8 + .quad 0x2ef9c5a5ba384001 + .quad 0xb6fd6df6fa9e74cd + .quad 0xf18278bce4af267a + .quad 0x8255b3d0f1ef990e + .quad 0x5a758ca390c5f293 + + // 2^200 * 2 * G + + .quad 0xa2b72710d9462495 + .quad 0x3aa8c6d2d57d5003 + .quad 0xe3d400bfa0b487ca + .quad 0x2dbae244b3eb72ec + .quad 0x8ce0918b1d61dc94 + .quad 0x8ded36469a813066 + .quad 0xd4e6a829afe8aad3 + .quad 0x0a738027f639d43f + .quad 0x980f4a2f57ffe1cc + .quad 0x00670d0de1839843 + .quad 0x105c3f4a49fb15fd + .quad 0x2698ca635126a69c + + // 2^200 * 3 * G + + .quad 0xe765318832b0ba78 + .quad 0x381831f7925cff8b + .quad 0x08a81b91a0291fcc + .quad 0x1fb43dcc49caeb07 + .quad 0x2e3d702f5e3dd90e + .quad 0x9e3f0918e4d25386 + .quad 0x5e773ef6024da96a + .quad 0x3c004b0c4afa3332 + .quad 0x9aa946ac06f4b82b + .quad 0x1ca284a5a806c4f3 + .quad 0x3ed3265fc6cd4787 + .quad 0x6b43fd01cd1fd217 + + // 2^200 * 4 * G + + .quad 0xc7a75d4b4697c544 + .quad 0x15fdf848df0fffbf + .quad 0x2868b9ebaa46785a + .quad 0x5a68d7105b52f714 + .quad 0xb5c742583e760ef3 + .quad 0x75dc52b9ee0ab990 + .quad 0xbf1427c2072b923f + .quad 0x73420b2d6ff0d9f0 + .quad 0xaf2cf6cb9e851e06 + .quad 0x8f593913c62238c4 + .quad 0xda8ab89699fbf373 + .quad 0x3db5632fea34bc9e + + // 2^200 * 5 * G + + .quad 0xf46eee2bf75dd9d8 + .quad 0x0d17b1f6396759a5 + .quad 0x1bf2d131499e7273 + .quad 0x04321adf49d75f13 + .quad 0x2e4990b1829825d5 + .quad 0xedeaeb873e9a8991 + .quad 0xeef03d394c704af8 + .quad 0x59197ea495df2b0e + .quad 0x04e16019e4e55aae + .quad 0xe77b437a7e2f92e9 + .quad 0xc7ce2dc16f159aa4 + .quad 0x45eafdc1f4d70cc0 + + // 2^200 * 6 * G + + .quad 0x698401858045d72b + .quad 0x4c22faa2cf2f0651 + .quad 0x941a36656b222dc6 + .quad 0x5a5eebc80362dade + .quad 0xb60e4624cfccb1ed + .quad 0x59dbc292bd5c0395 + .quad 0x31a09d1ddc0481c9 + .quad 0x3f73ceea5d56d940 + .quad 0xb7a7bfd10a4e8dc6 + .quad 0xbe57007e44c9b339 + .quad 0x60c1207f1557aefa + .quad 0x26058891266218db + + // 2^200 * 7 * G + + .quad 0x59f704a68360ff04 + .quad 0xc3d93fde7661e6f4 + .quad 0x831b2a7312873551 + .quad 0x54ad0c2e4e615d57 + .quad 0x4c818e3cc676e542 + .quad 0x5e422c9303ceccad + .quad 0xec07cccab4129f08 + .quad 0x0dedfa10b24443b8 + .quad 0xee3b67d5b82b522a + .quad 0x36f163469fa5c1eb + .quad 0xa5b4d2f26ec19fd3 + .quad 0x62ecb2baa77a9408 + + // 2^200 * 8 * G + + .quad 0xe5ed795261152b3d + .quad 0x4962357d0eddd7d1 + .quad 0x7482c8d0b96b4c71 + .quad 0x2e59f919a966d8be + .quad 0x92072836afb62874 + .quad 0x5fcd5e8579e104a5 + .quad 0x5aad01adc630a14a + .quad 0x61913d5075663f98 + .quad 0x0dc62d361a3231da + .quad 0xfa47583294200270 + .quad 0x02d801513f9594ce + .quad 0x3ddbc2a131c05d5c + + // 2^204 * 1 * G + + .quad 0x3f50a50a4ffb81ef + .quad 0xb1e035093bf420bf + .quad 0x9baa8e1cc6aa2cd0 + .quad 0x32239861fa237a40 + .quad 0xfb735ac2004a35d1 + .quad 0x31de0f433a6607c3 + .quad 0x7b8591bfc528d599 + .quad 0x55be9a25f5bb050c + .quad 0x0d005acd33db3dbf + .quad 0x0111b37c80ac35e2 + .quad 0x4892d66c6f88ebeb + .quad 0x770eadb16508fbcd + + // 2^204 * 2 * G + + .quad 0x8451f9e05e4e89dd + .quad 0xc06302ffbc793937 + .quad 0x5d22749556a6495c + .quad 0x09a6755ca05603fb + .quad 0xf1d3b681a05071b9 + .quad 0x2207659a3592ff3a + .quad 0x5f0169297881e40e + .quad 0x16bedd0e86ba374e + .quad 0x5ecccc4f2c2737b5 + .quad 0x43b79e0c2dccb703 + .quad 0x33e008bc4ec43df3 + .quad 0x06c1b840f07566c0 + + // 2^204 * 3 * G + + .quad 0x7688a5c6a388f877 + .quad 0x02a96c14deb2b6ac + .quad 0x64c9f3431b8c2af8 + .quad 0x3628435554a1eed6 + .quad 0x69ee9e7f9b02805c + .quad 0xcbff828a547d1640 + .quad 0x3d93a869b2430968 + .quad 0x46b7b8cd3fe26972 + .quad 0xe9812086fe7eebe0 + .quad 0x4cba6be72f515437 + .quad 0x1d04168b516efae9 + .quad 0x5ea1391043982cb9 + + // 2^204 * 4 * G + + .quad 0x49125c9cf4702ee1 + .quad 0x4520b71f8b25b32d + .quad 0x33193026501fef7e + .quad 0x656d8997c8d2eb2b + .quad 0x6f2b3be4d5d3b002 + .quad 0xafec33d96a09c880 + .quad 0x035f73a4a8bcc4cc + .quad 0x22c5b9284662198b + .quad 0xcb58c8fe433d8939 + .quad 0x89a0cb2e6a8d7e50 + .quad 0x79ca955309fbbe5a + .quad 0x0c626616cd7fc106 + + // 2^204 * 5 * G + + .quad 0x1ffeb80a4879b61f + .quad 0x6396726e4ada21ed + .quad 0x33c7b093368025ba + .quad 0x471aa0c6f3c31788 + .quad 0x8fdfc379fbf454b1 + .quad 0x45a5a970f1a4b771 + .quad 0xac921ef7bad35915 + .quad 0x42d088dca81c2192 + .quad 0x8fda0f37a0165199 + .quad 0x0adadb77c8a0e343 + .quad 0x20fbfdfcc875e820 + .quad 0x1cf2bea80c2206e7 + + // 2^204 * 6 * G + + .quad 0xc2ddf1deb36202ac + .quad 0x92a5fe09d2e27aa5 + .quad 0x7d1648f6fc09f1d3 + .quad 0x74c2cc0513bc4959 + .quad 0x982d6e1a02c0412f + .quad 0x90fa4c83db58e8fe + .quad 0x01c2f5bcdcb18bc0 + .quad 0x686e0c90216abc66 + .quad 0x1fadbadba54395a7 + .quad 0xb41a02a0ae0da66a + .quad 0xbf19f598bba37c07 + .quad 0x6a12b8acde48430d + + // 2^204 * 7 * G + + .quad 0xf8daea1f39d495d9 + .quad 0x592c190e525f1dfc + .quad 0xdb8cbd04c9991d1b + .quad 0x11f7fda3d88f0cb7 + .quad 0x793bdd801aaeeb5f + .quad 0x00a2a0aac1518871 + .quad 0xe8a373a31f2136b4 + .quad 0x48aab888fc91ef19 + .quad 0x041f7e925830f40e + .quad 0x002d6ca979661c06 + .quad 0x86dc9ff92b046a2e + .quad 0x760360928b0493d1 + + // 2^204 * 8 * G + + .quad 0x21bb41c6120cf9c6 + .quad 0xeab2aa12decda59b + .quad 0xc1a72d020aa48b34 + .quad 0x215d4d27e87d3b68 + .quad 0xb43108e5695a0b05 + .quad 0x6cb00ee8ad37a38b + .quad 0x5edad6eea3537381 + .quad 0x3f2602d4b6dc3224 + .quad 0xc8b247b65bcaf19c + .quad 0x49779dc3b1b2c652 + .quad 0x89a180bbd5ece2e2 + .quad 0x13f098a3cec8e039 + + // 2^208 * 1 * G + + .quad 0x9adc0ff9ce5ec54b + .quad 0x039c2a6b8c2f130d + .quad 0x028007c7f0f89515 + .quad 0x78968314ac04b36b + .quad 0xf3aa57a22796bb14 + .quad 0x883abab79b07da21 + .quad 0xe54be21831a0391c + .quad 0x5ee7fb38d83205f9 + .quad 0x538dfdcb41446a8e + .quad 0xa5acfda9434937f9 + .quad 0x46af908d263c8c78 + .quad 0x61d0633c9bca0d09 + + // 2^208 * 2 * G + + .quad 0x63744935ffdb2566 + .quad 0xc5bd6b89780b68bb + .quad 0x6f1b3280553eec03 + .quad 0x6e965fd847aed7f5 + .quad 0xada328bcf8fc73df + .quad 0xee84695da6f037fc + .quad 0x637fb4db38c2a909 + .quad 0x5b23ac2df8067bdc + .quad 0x9ad2b953ee80527b + .quad 0xe88f19aafade6d8d + .quad 0x0e711704150e82cf + .quad 0x79b9bbb9dd95dedc + + // 2^208 * 3 * G + + .quad 0xebb355406a3126c2 + .quad 0xd26383a868c8c393 + .quad 0x6c0c6429e5b97a82 + .quad 0x5065f158c9fd2147 + .quad 0xd1997dae8e9f7374 + .quad 0xa032a2f8cfbb0816 + .quad 0xcd6cba126d445f0a + .quad 0x1ba811460accb834 + .quad 0x708169fb0c429954 + .quad 0xe14600acd76ecf67 + .quad 0x2eaab98a70e645ba + .quad 0x3981f39e58a4faf2 + + // 2^208 * 4 * G + + .quad 0x18fb8a7559230a93 + .quad 0x1d168f6960e6f45d + .quad 0x3a85a94514a93cb5 + .quad 0x38dc083705acd0fd + .quad 0xc845dfa56de66fde + .quad 0xe152a5002c40483a + .quad 0xe9d2e163c7b4f632 + .quad 0x30f4452edcbc1b65 + .quad 0x856d2782c5759740 + .quad 0xfa134569f99cbecc + .quad 0x8844fc73c0ea4e71 + .quad 0x632d9a1a593f2469 + + // 2^208 * 5 * G + + .quad 0xf6bb6b15b807cba6 + .quad 0x1823c7dfbc54f0d7 + .quad 0xbb1d97036e29670b + .quad 0x0b24f48847ed4a57 + .quad 0xbf09fd11ed0c84a7 + .quad 0x63f071810d9f693a + .quad 0x21908c2d57cf8779 + .quad 0x3a5a7df28af64ba2 + .quad 0xdcdad4be511beac7 + .quad 0xa4538075ed26ccf2 + .quad 0xe19cff9f005f9a65 + .quad 0x34fcf74475481f63 + + // 2^208 * 6 * G + + .quad 0xc197e04c789767ca + .quad 0xb8714dcb38d9467d + .quad 0x55de888283f95fa8 + .quad 0x3d3bdc164dfa63f7 + .quad 0xa5bb1dab78cfaa98 + .quad 0x5ceda267190b72f2 + .quad 0x9309c9110a92608e + .quad 0x0119a3042fb374b0 + .quad 0x67a2d89ce8c2177d + .quad 0x669da5f66895d0c1 + .quad 0xf56598e5b282a2b0 + .quad 0x56c088f1ede20a73 + + // 2^208 * 7 * G + + .quad 0x336d3d1110a86e17 + .quad 0xd7f388320b75b2fa + .quad 0xf915337625072988 + .quad 0x09674c6b99108b87 + .quad 0x581b5fac24f38f02 + .quad 0xa90be9febae30cbd + .quad 0x9a2169028acf92f0 + .quad 0x038b7ea48359038f + .quad 0x9f4ef82199316ff8 + .quad 0x2f49d282eaa78d4f + .quad 0x0971a5ab5aef3174 + .quad 0x6e5e31025969eb65 + + // 2^208 * 8 * G + + .quad 0xb16c62f587e593fb + .quad 0x4999eddeca5d3e71 + .quad 0xb491c1e014cc3e6d + .quad 0x08f5114789a8dba8 + .quad 0x3304fb0e63066222 + .quad 0xfb35068987acba3f + .quad 0xbd1924778c1061a3 + .quad 0x3058ad43d1838620 + .quad 0x323c0ffde57663d0 + .quad 0x05c3df38a22ea610 + .quad 0xbdc78abdac994f9a + .quad 0x26549fa4efe3dc99 + + // 2^212 * 1 * G + + .quad 0x738b38d787ce8f89 + .quad 0xb62658e24179a88d + .quad 0x30738c9cf151316d + .quad 0x49128c7f727275c9 + .quad 0x04dbbc17f75396b9 + .quad 0x69e6a2d7d2f86746 + .quad 0xc6409d99f53eabc6 + .quad 0x606175f6332e25d2 + .quad 0x4021370ef540e7dd + .quad 0x0910d6f5a1f1d0a5 + .quad 0x4634aacd5b06b807 + .quad 0x6a39e6356944f235 + + // 2^212 * 2 * G + + .quad 0x96cd5640df90f3e7 + .quad 0x6c3a760edbfa25ea + .quad 0x24f3ef0959e33cc4 + .quad 0x42889e7e530d2e58 + .quad 0x1da1965774049e9d + .quad 0xfbcd6ea198fe352b + .quad 0xb1cbcd50cc5236a6 + .quad 0x1f5ec83d3f9846e2 + .quad 0x8efb23c3328ccb75 + .quad 0xaf42a207dd876ee9 + .quad 0x20fbdadc5dfae796 + .quad 0x241e246b06bf9f51 + + // 2^212 * 3 * G + + .quad 0x29e68e57ad6e98f6 + .quad 0x4c9260c80b462065 + .quad 0x3f00862ea51ebb4b + .quad 0x5bc2c77fb38d9097 + .quad 0x7eaafc9a6280bbb8 + .quad 0x22a70f12f403d809 + .quad 0x31ce40bb1bfc8d20 + .quad 0x2bc65635e8bd53ee + .quad 0xe8d5dc9fa96bad93 + .quad 0xe58fb17dde1947dc + .quad 0x681532ea65185fa3 + .quad 0x1fdd6c3b034a7830 + + // 2^212 * 4 * G + + .quad 0x0a64e28c55dc18fe + .quad 0xe3df9e993399ebdd + .quad 0x79ac432370e2e652 + .quad 0x35ff7fc33ae4cc0e + .quad 0x9c13a6a52dd8f7a9 + .quad 0x2dbb1f8c3efdcabf + .quad 0x961e32405e08f7b5 + .quad 0x48c8a121bbe6c9e5 + .quad 0xfc415a7c59646445 + .quad 0xd224b2d7c128b615 + .quad 0x6035c9c905fbb912 + .quad 0x42d7a91274429fab + + // 2^212 * 5 * G + + .quad 0x4e6213e3eaf72ed3 + .quad 0x6794981a43acd4e7 + .quad 0xff547cde6eb508cb + .quad 0x6fed19dd10fcb532 + .quad 0xa9a48947933da5bc + .quad 0x4a58920ec2e979ec + .quad 0x96d8800013e5ac4c + .quad 0x453692d74b48b147 + .quad 0xdd775d99a8559c6f + .quad 0xf42a2140df003e24 + .quad 0x5223e229da928a66 + .quad 0x063f46ba6d38f22c + + // 2^212 * 6 * G + + .quad 0xd2d242895f536694 + .quad 0xca33a2c542939b2c + .quad 0x986fada6c7ddb95c + .quad 0x5a152c042f712d5d + .quad 0x39843cb737346921 + .quad 0xa747fb0738c89447 + .quad 0xcb8d8031a245307e + .quad 0x67810f8e6d82f068 + .quad 0x3eeb8fbcd2287db4 + .quad 0x72c7d3a301a03e93 + .quad 0x5473e88cbd98265a + .quad 0x7324aa515921b403 + + // 2^212 * 7 * G + + .quad 0x857942f46c3cbe8e + .quad 0xa1d364b14730c046 + .quad 0x1c8ed914d23c41bf + .quad 0x0838e161eef6d5d2 + .quad 0xad23f6dae82354cb + .quad 0x6962502ab6571a6d + .quad 0x9b651636e38e37d1 + .quad 0x5cac5005d1a3312f + .quad 0x8cc154cce9e39904 + .quad 0x5b3a040b84de6846 + .quad 0xc4d8a61cb1be5d6e + .quad 0x40fb897bd8861f02 + + // 2^212 * 8 * G + + .quad 0x84c5aa9062de37a1 + .quad 0x421da5000d1d96e1 + .quad 0x788286306a9242d9 + .quad 0x3c5e464a690d10da + .quad 0xe57ed8475ab10761 + .quad 0x71435e206fd13746 + .quad 0x342f824ecd025632 + .quad 0x4b16281ea8791e7b + .quad 0xd1c101d50b813381 + .quad 0xdee60f1176ee6828 + .quad 0x0cb68893383f6409 + .quad 0x6183c565f6ff484a + + // 2^216 * 1 * G + + .quad 0x741d5a461e6bf9d6 + .quad 0x2305b3fc7777a581 + .quad 0xd45574a26474d3d9 + .quad 0x1926e1dc6401e0ff + .quad 0xdb468549af3f666e + .quad 0xd77fcf04f14a0ea5 + .quad 0x3df23ff7a4ba0c47 + .quad 0x3a10dfe132ce3c85 + .quad 0xe07f4e8aea17cea0 + .quad 0x2fd515463a1fc1fd + .quad 0x175322fd31f2c0f1 + .quad 0x1fa1d01d861e5d15 + + // 2^216 * 2 * G + + .quad 0xcc8055947d599832 + .quad 0x1e4656da37f15520 + .quad 0x99f6f7744e059320 + .quad 0x773563bc6a75cf33 + .quad 0x38dcac00d1df94ab + .quad 0x2e712bddd1080de9 + .quad 0x7f13e93efdd5e262 + .quad 0x73fced18ee9a01e5 + .quad 0x06b1e90863139cb3 + .quad 0xa493da67c5a03ecd + .quad 0x8d77cec8ad638932 + .quad 0x1f426b701b864f44 + + // 2^216 * 3 * G + + .quad 0xefc9264c41911c01 + .quad 0xf1a3b7b817a22c25 + .quad 0x5875da6bf30f1447 + .quad 0x4e1af5271d31b090 + .quad 0xf17e35c891a12552 + .quad 0xb76b8153575e9c76 + .quad 0xfa83406f0d9b723e + .quad 0x0b76bb1b3fa7e438 + .quad 0x08b8c1f97f92939b + .quad 0xbe6771cbd444ab6e + .quad 0x22e5646399bb8017 + .quad 0x7b6dd61eb772a955 + + // 2^216 * 4 * G + + .quad 0xb7adc1e850f33d92 + .quad 0x7998fa4f608cd5cf + .quad 0xad962dbd8dfc5bdb + .quad 0x703e9bceaf1d2f4f + .quad 0x5730abf9ab01d2c7 + .quad 0x16fb76dc40143b18 + .quad 0x866cbe65a0cbb281 + .quad 0x53fa9b659bff6afe + .quad 0x6c14c8e994885455 + .quad 0x843a5d6665aed4e5 + .quad 0x181bb73ebcd65af1 + .quad 0x398d93e5c4c61f50 + + // 2^216 * 5 * G + + .quad 0x1c4bd16733e248f3 + .quad 0xbd9e128715bf0a5f + .quad 0xd43f8cf0a10b0376 + .quad 0x53b09b5ddf191b13 + .quad 0xc3877c60d2e7e3f2 + .quad 0x3b34aaa030828bb1 + .quad 0x283e26e7739ef138 + .quad 0x699c9c9002c30577 + .quad 0xf306a7235946f1cc + .quad 0x921718b5cce5d97d + .quad 0x28cdd24781b4e975 + .quad 0x51caf30c6fcdd907 + + // 2^216 * 6 * G + + .quad 0xa60ba7427674e00a + .quad 0x630e8570a17a7bf3 + .quad 0x3758563dcf3324cc + .quad 0x5504aa292383fdaa + .quad 0x737af99a18ac54c7 + .quad 0x903378dcc51cb30f + .quad 0x2b89bc334ce10cc7 + .quad 0x12ae29c189f8e99a + .quad 0xa99ec0cb1f0d01cf + .quad 0x0dd1efcc3a34f7ae + .quad 0x55ca7521d09c4e22 + .quad 0x5fd14fe958eba5ea + + // 2^216 * 7 * G + + .quad 0xb5dc2ddf2845ab2c + .quad 0x069491b10a7fe993 + .quad 0x4daaf3d64002e346 + .quad 0x093ff26e586474d1 + .quad 0x3c42fe5ebf93cb8e + .quad 0xbedfa85136d4565f + .quad 0xe0f0859e884220e8 + .quad 0x7dd73f960725d128 + .quad 0xb10d24fe68059829 + .quad 0x75730672dbaf23e5 + .quad 0x1367253ab457ac29 + .quad 0x2f59bcbc86b470a4 + + // 2^216 * 8 * G + + .quad 0x83847d429917135f + .quad 0xad1b911f567d03d7 + .quad 0x7e7748d9be77aad1 + .quad 0x5458b42e2e51af4a + .quad 0x7041d560b691c301 + .quad 0x85201b3fadd7e71e + .quad 0x16c2e16311335585 + .quad 0x2aa55e3d010828b1 + .quad 0xed5192e60c07444f + .quad 0x42c54e2d74421d10 + .quad 0x352b4c82fdb5c864 + .quad 0x13e9004a8a768664 + + // 2^220 * 1 * G + + .quad 0xcbb5b5556c032bff + .quad 0xdf7191b729297a3a + .quad 0xc1ff7326aded81bb + .quad 0x71ade8bb68be03f5 + .quad 0x1e6284c5806b467c + .quad 0xc5f6997be75d607b + .quad 0x8b67d958b378d262 + .quad 0x3d88d66a81cd8b70 + .quad 0x8b767a93204ed789 + .quad 0x762fcacb9fa0ae2a + .quad 0x771febcc6dce4887 + .quad 0x343062158ff05fb3 + + // 2^220 * 2 * G + + .quad 0xe05da1a7e1f5bf49 + .quad 0x26457d6dd4736092 + .quad 0x77dcb07773cc32f6 + .quad 0x0a5d94969cdd5fcd + .quad 0xfce219072a7b31b4 + .quad 0x4d7adc75aa578016 + .quad 0x0ec276a687479324 + .quad 0x6d6d9d5d1fda4beb + .quad 0x22b1a58ae9b08183 + .quad 0xfd95d071c15c388b + .quad 0xa9812376850a0517 + .quad 0x33384cbabb7f335e + + // 2^220 * 3 * G + + .quad 0x3c6fa2680ca2c7b5 + .quad 0x1b5082046fb64fda + .quad 0xeb53349c5431d6de + .quad 0x5278b38f6b879c89 + .quad 0x33bc627a26218b8d + .quad 0xea80b21fc7a80c61 + .quad 0x9458b12b173e9ee6 + .quad 0x076247be0e2f3059 + .quad 0x52e105f61416375a + .quad 0xec97af3685abeba4 + .quad 0x26e6b50623a67c36 + .quad 0x5cf0e856f3d4fb01 + + // 2^220 * 4 * G + + .quad 0xf6c968731ae8cab4 + .quad 0x5e20741ecb4f92c5 + .quad 0x2da53be58ccdbc3e + .quad 0x2dddfea269970df7 + .quad 0xbeaece313db342a8 + .quad 0xcba3635b842db7ee + .quad 0xe88c6620817f13ef + .quad 0x1b9438aa4e76d5c6 + .quad 0x8a50777e166f031a + .quad 0x067b39f10fb7a328 + .quad 0x1925c9a6010fbd76 + .quad 0x6df9b575cc740905 + + // 2^220 * 5 * G + + .quad 0x42c1192927f6bdcf + .quad 0x8f91917a403d61ca + .quad 0xdc1c5a668b9e1f61 + .quad 0x1596047804ec0f8d + .quad 0xecdfc35b48cade41 + .quad 0x6a88471fb2328270 + .quad 0x740a4a2440a01b6a + .quad 0x471e5796003b5f29 + .quad 0xda96bbb3aced37ac + .quad 0x7a2423b5e9208cea + .quad 0x24cc5c3038aebae2 + .quad 0x50c356afdc5dae2f + + // 2^220 * 6 * G + + .quad 0x09dcbf4341c30318 + .quad 0xeeba061183181dce + .quad 0xc179c0cedc1e29a1 + .quad 0x1dbf7b89073f35b0 + .quad 0xcfed9cdf1b31b964 + .quad 0xf486a9858ca51af3 + .quad 0x14897265ea8c1f84 + .quad 0x784a53dd932acc00 + .quad 0x2d99f9df14fc4920 + .quad 0x76ccb60cc4499fe5 + .quad 0xa4132cbbe5cf0003 + .quad 0x3f93d82354f000ea + + // 2^220 * 7 * G + + .quad 0x8183e7689e04ce85 + .quad 0x678fb71e04465341 + .quad 0xad92058f6688edac + .quad 0x5da350d3532b099a + .quad 0xeaac12d179e14978 + .quad 0xff923ff3bbebff5e + .quad 0x4af663e40663ce27 + .quad 0x0fd381a811a5f5ff + .quad 0xf256aceca436df54 + .quad 0x108b6168ae69d6e8 + .quad 0x20d986cb6b5d036c + .quad 0x655957b9fee2af50 + + // 2^220 * 8 * G + + .quad 0xaea8b07fa902030f + .quad 0xf88c766af463d143 + .quad 0x15b083663c787a60 + .quad 0x08eab1148267a4a8 + .quad 0xbdc1409bd002d0ac + .quad 0x66660245b5ccd9a6 + .quad 0x82317dc4fade85ec + .quad 0x02fe934b6ad7df0d + .quad 0xef5cf100cfb7ea74 + .quad 0x22897633a1cb42ac + .quad 0xd4ce0c54cef285e2 + .quad 0x30408c048a146a55 + + // 2^224 * 1 * G + + .quad 0x739d8845832fcedb + .quad 0xfa38d6c9ae6bf863 + .quad 0x32bc0dcab74ffef7 + .quad 0x73937e8814bce45e + .quad 0xbb2e00c9193b877f + .quad 0xece3a890e0dc506b + .quad 0xecf3b7c036de649f + .quad 0x5f46040898de9e1a + .quad 0xb9037116297bf48d + .quad 0xa9d13b22d4f06834 + .quad 0xe19715574696bdc6 + .quad 0x2cf8a4e891d5e835 + + // 2^224 * 2 * G + + .quad 0x6d93fd8707110f67 + .quad 0xdd4c09d37c38b549 + .quad 0x7cb16a4cc2736a86 + .quad 0x2049bd6e58252a09 + .quad 0x2cb5487e17d06ba2 + .quad 0x24d2381c3950196b + .quad 0xd7659c8185978a30 + .quad 0x7a6f7f2891d6a4f6 + .quad 0x7d09fd8d6a9aef49 + .quad 0xf0ee60be5b3db90b + .quad 0x4c21b52c519ebfd4 + .quad 0x6011aadfc545941d + + // 2^224 * 3 * G + + .quad 0x5f67926dcf95f83c + .quad 0x7c7e856171289071 + .quad 0xd6a1e7f3998f7a5b + .quad 0x6fc5cc1b0b62f9e0 + .quad 0x63ded0c802cbf890 + .quad 0xfbd098ca0dff6aaa + .quad 0x624d0afdb9b6ed99 + .quad 0x69ce18b779340b1e + .quad 0xd1ef5528b29879cb + .quad 0xdd1aae3cd47e9092 + .quad 0x127e0442189f2352 + .quad 0x15596b3ae57101f1 + + // 2^224 * 4 * G + + .quad 0x462739d23f9179a2 + .quad 0xff83123197d6ddcf + .quad 0x1307deb553f2148a + .quad 0x0d2237687b5f4dda + .quad 0x09ff31167e5124ca + .quad 0x0be4158bd9c745df + .quad 0x292b7d227ef556e5 + .quad 0x3aa4e241afb6d138 + .quad 0x2cc138bf2a3305f5 + .quad 0x48583f8fa2e926c3 + .quad 0x083ab1a25549d2eb + .quad 0x32fcaa6e4687a36c + + // 2^224 * 5 * G + + .quad 0x7bc56e8dc57d9af5 + .quad 0x3e0bd2ed9df0bdf2 + .quad 0xaac014de22efe4a3 + .quad 0x4627e9cefebd6a5c + .quad 0x3207a4732787ccdf + .quad 0x17e31908f213e3f8 + .quad 0xd5b2ecd7f60d964e + .quad 0x746f6336c2600be9 + .quad 0x3f4af345ab6c971c + .quad 0xe288eb729943731f + .quad 0x33596a8a0344186d + .quad 0x7b4917007ed66293 + + // 2^224 * 6 * G + + .quad 0x2d85fb5cab84b064 + .quad 0x497810d289f3bc14 + .quad 0x476adc447b15ce0c + .quad 0x122ba376f844fd7b + .quad 0x54341b28dd53a2dd + .quad 0xaa17905bdf42fc3f + .quad 0x0ff592d94dd2f8f4 + .quad 0x1d03620fe08cd37d + .quad 0xc20232cda2b4e554 + .quad 0x9ed0fd42115d187f + .quad 0x2eabb4be7dd479d9 + .quad 0x02c70bf52b68ec4c + + // 2^224 * 7 * G + + .quad 0xa287ec4b5d0b2fbb + .quad 0x415c5790074882ca + .quad 0xe044a61ec1d0815c + .quad 0x26334f0a409ef5e0 + .quad 0xace532bf458d72e1 + .quad 0x5be768e07cb73cb5 + .quad 0x56cf7d94ee8bbde7 + .quad 0x6b0697e3feb43a03 + .quad 0xb6c8f04adf62a3c0 + .quad 0x3ef000ef076da45d + .quad 0x9c9cb95849f0d2a9 + .quad 0x1cc37f43441b2fae + + // 2^224 * 8 * G + + .quad 0x508f565a5cc7324f + .quad 0xd061c4c0e506a922 + .quad 0xfb18abdb5c45ac19 + .quad 0x6c6809c10380314a + .quad 0xd76656f1c9ceaeb9 + .quad 0x1c5b15f818e5656a + .quad 0x26e72832844c2334 + .quad 0x3a346f772f196838 + .quad 0xd2d55112e2da6ac8 + .quad 0xe9bd0331b1e851ed + .quad 0x960746dd8ec67262 + .quad 0x05911b9f6ef7c5d0 + + // 2^228 * 1 * G + + .quad 0xe9dcd756b637ff2d + .quad 0xec4c348fc987f0c4 + .quad 0xced59285f3fbc7b7 + .quad 0x3305354793e1ea87 + .quad 0x01c18980c5fe9f94 + .quad 0xcd656769716fd5c8 + .quad 0x816045c3d195a086 + .quad 0x6e2b7f3266cc7982 + .quad 0xcc802468f7c3568f + .quad 0x9de9ba8219974cb3 + .quad 0xabb7229cb5b81360 + .quad 0x44e2017a6fbeba62 + + // 2^228 * 2 * G + + .quad 0xc4c2a74354dab774 + .quad 0x8e5d4c3c4eaf031a + .quad 0xb76c23d242838f17 + .quad 0x749a098f68dce4ea + .quad 0x87f82cf3b6ca6ecd + .quad 0x580f893e18f4a0c2 + .quad 0x058930072604e557 + .quad 0x6cab6ac256d19c1d + .quad 0xdcdfe0a02cc1de60 + .quad 0x032665ff51c5575b + .quad 0x2c0c32f1073abeeb + .quad 0x6a882014cd7b8606 + + // 2^228 * 3 * G + + .quad 0xa52a92fea4747fb5 + .quad 0xdc12a4491fa5ab89 + .quad 0xd82da94bb847a4ce + .quad 0x4d77edce9512cc4e + .quad 0xd111d17caf4feb6e + .quad 0x050bba42b33aa4a3 + .quad 0x17514c3ceeb46c30 + .quad 0x54bedb8b1bc27d75 + .quad 0x77c8e14577e2189c + .quad 0xa3e46f6aff99c445 + .quad 0x3144dfc86d335343 + .quad 0x3a96559e7c4216a9 + + // 2^228 * 4 * G + + .quad 0x12550d37f42ad2ee + .quad 0x8b78e00498a1fbf5 + .quad 0x5d53078233894cb2 + .quad 0x02c84e4e3e498d0c + .quad 0x4493896880baaa52 + .quad 0x4c98afc4f285940e + .quad 0xef4aa79ba45448b6 + .quad 0x5278c510a57aae7f + .quad 0xa54dd074294c0b94 + .quad 0xf55d46b8df18ffb6 + .quad 0xf06fecc58dae8366 + .quad 0x588657668190d165 + + // 2^228 * 5 * G + + .quad 0xd47712311aef7117 + .quad 0x50343101229e92c7 + .quad 0x7a95e1849d159b97 + .quad 0x2449959b8b5d29c9 + .quad 0xbf5834f03de25cc3 + .quad 0xb887c8aed6815496 + .quad 0x5105221a9481e892 + .quad 0x6760ed19f7723f93 + .quad 0x669ba3b7ac35e160 + .quad 0x2eccf73fba842056 + .quad 0x1aec1f17c0804f07 + .quad 0x0d96bc031856f4e7 + + // 2^228 * 6 * G + + .quad 0x3318be7775c52d82 + .quad 0x4cb764b554d0aab9 + .quad 0xabcf3d27cc773d91 + .quad 0x3bf4d1848123288a + .quad 0xb1d534b0cc7505e1 + .quad 0x32cd003416c35288 + .quad 0xcb36a5800762c29d + .quad 0x5bfe69b9237a0bf8 + .quad 0x183eab7e78a151ab + .quad 0xbbe990c999093763 + .quad 0xff717d6e4ac7e335 + .quad 0x4c5cddb325f39f88 + + // 2^228 * 7 * G + + .quad 0xc0f6b74d6190a6eb + .quad 0x20ea81a42db8f4e4 + .quad 0xa8bd6f7d97315760 + .quad 0x33b1d60262ac7c21 + .quad 0x57750967e7a9f902 + .quad 0x2c37fdfc4f5b467e + .quad 0xb261663a3177ba46 + .quad 0x3a375e78dc2d532b + .quad 0x8141e72f2d4dddea + .quad 0xe6eafe9862c607c8 + .quad 0x23c28458573cafd0 + .quad 0x46b9476f4ff97346 + + // 2^228 * 8 * G + + .quad 0x0c1ffea44f901e5c + .quad 0x2b0b6fb72184b782 + .quad 0xe587ff910114db88 + .quad 0x37130f364785a142 + .quad 0x1215505c0d58359f + .quad 0x2a2013c7fc28c46b + .quad 0x24a0a1af89ea664e + .quad 0x4400b638a1130e1f + .quad 0x3a01b76496ed19c3 + .quad 0x31e00ab0ed327230 + .quad 0x520a885783ca15b1 + .quad 0x06aab9875accbec7 + + // 2^232 * 1 * G + + .quad 0xc1339983f5df0ebb + .quad 0xc0f3758f512c4cac + .quad 0x2cf1130a0bb398e1 + .quad 0x6b3cecf9aa270c62 + .quad 0x5349acf3512eeaef + .quad 0x20c141d31cc1cb49 + .quad 0x24180c07a99a688d + .quad 0x555ef9d1c64b2d17 + .quad 0x36a770ba3b73bd08 + .quad 0x624aef08a3afbf0c + .quad 0x5737ff98b40946f2 + .quad 0x675f4de13381749d + + // 2^232 * 2 * G + + .quad 0x0e2c52036b1782fc + .quad 0x64816c816cad83b4 + .quad 0xd0dcbdd96964073e + .quad 0x13d99df70164c520 + .quad 0xa12ff6d93bdab31d + .quad 0x0725d80f9d652dfe + .quad 0x019c4ff39abe9487 + .quad 0x60f450b882cd3c43 + .quad 0x014b5ec321e5c0ca + .quad 0x4fcb69c9d719bfa2 + .quad 0x4e5f1c18750023a0 + .quad 0x1c06de9e55edac80 + + // 2^232 * 3 * G + + .quad 0x990f7ad6a33ec4e2 + .quad 0x6608f938be2ee08e + .quad 0x9ca143c563284515 + .quad 0x4cf38a1fec2db60d + .quad 0xffd52b40ff6d69aa + .quad 0x34530b18dc4049bb + .quad 0x5e4a5c2fa34d9897 + .quad 0x78096f8e7d32ba2d + .quad 0xa0aaaa650dfa5ce7 + .quad 0xf9c49e2a48b5478c + .quad 0x4f09cc7d7003725b + .quad 0x373cad3a26091abe + + // 2^232 * 4 * G + + .quad 0xb294634d82c9f57c + .quad 0x1fcbfde124934536 + .quad 0x9e9c4db3418cdb5a + .quad 0x0040f3d9454419fc + .quad 0xf1bea8fb89ddbbad + .quad 0x3bcb2cbc61aeaecb + .quad 0x8f58a7bb1f9b8d9d + .quad 0x21547eda5112a686 + .quad 0xdefde939fd5986d3 + .quad 0xf4272c89510a380c + .quad 0xb72ba407bb3119b9 + .quad 0x63550a334a254df4 + + // 2^232 * 5 * G + + .quad 0x6507d6edb569cf37 + .quad 0x178429b00ca52ee1 + .quad 0xea7c0090eb6bd65d + .quad 0x3eea62c7daf78f51 + .quad 0x9bba584572547b49 + .quad 0xf305c6fae2c408e0 + .quad 0x60e8fa69c734f18d + .quad 0x39a92bafaa7d767a + .quad 0x9d24c713e693274e + .quad 0x5f63857768dbd375 + .quad 0x70525560eb8ab39a + .quad 0x68436a0665c9c4cd + + // 2^232 * 6 * G + + .quad 0xbc0235e8202f3f27 + .quad 0xc75c00e264f975b0 + .quad 0x91a4e9d5a38c2416 + .quad 0x17b6e7f68ab789f9 + .quad 0x1e56d317e820107c + .quad 0xc5266844840ae965 + .quad 0xc1e0a1c6320ffc7a + .quad 0x5373669c91611472 + .quad 0x5d2814ab9a0e5257 + .quad 0x908f2084c9cab3fc + .quad 0xafcaf5885b2d1eca + .quad 0x1cb4b5a678f87d11 + + // 2^232 * 7 * G + + .quad 0xb664c06b394afc6c + .quad 0x0c88de2498da5fb1 + .quad 0x4f8d03164bcad834 + .quad 0x330bca78de7434a2 + .quad 0x6b74aa62a2a007e7 + .quad 0xf311e0b0f071c7b1 + .quad 0x5707e438000be223 + .quad 0x2dc0fd2d82ef6eac + .quad 0x982eff841119744e + .quad 0xf9695e962b074724 + .quad 0xc58ac14fbfc953fb + .quad 0x3c31be1b369f1cf5 + + // 2^232 * 8 * G + + .quad 0xb0f4864d08948aee + .quad 0x07dc19ee91ba1c6f + .quad 0x7975cdaea6aca158 + .quad 0x330b61134262d4bb + .quad 0xc168bc93f9cb4272 + .quad 0xaeb8711fc7cedb98 + .quad 0x7f0e52aa34ac8d7a + .quad 0x41cec1097e7d55bb + .quad 0xf79619d7a26d808a + .quad 0xbb1fd49e1d9e156d + .quad 0x73d7c36cdba1df27 + .quad 0x26b44cd91f28777d + + // 2^236 * 1 * G + + .quad 0x300a9035393aa6d8 + .quad 0x2b501131a12bb1cd + .quad 0x7b1ff677f093c222 + .quad 0x4309c1f8cab82bad + .quad 0xaf44842db0285f37 + .quad 0x8753189047efc8df + .quad 0x9574e091f820979a + .quad 0x0e378d6069615579 + .quad 0xd9fa917183075a55 + .quad 0x4bdb5ad26b009fdc + .quad 0x7829ad2cd63def0e + .quad 0x078fc54975fd3877 + + // 2^236 * 2 * G + + .quad 0x87dfbd1428878f2d + .quad 0x134636dd1e9421a1 + .quad 0x4f17c951257341a3 + .quad 0x5df98d4bad296cb8 + .quad 0xe2004b5bb833a98a + .quad 0x44775dec2d4c3330 + .quad 0x3aa244067eace913 + .quad 0x272630e3d58e00a9 + .quad 0xf3678fd0ecc90b54 + .quad 0xf001459b12043599 + .quad 0x26725fbc3758b89b + .quad 0x4325e4aa73a719ae + + // 2^236 * 3 * G + + .quad 0x657dc6ef433c3493 + .quad 0x65375e9f80dbf8c3 + .quad 0x47fd2d465b372dae + .quad 0x4966ab79796e7947 + .quad 0xed24629acf69f59d + .quad 0x2a4a1ccedd5abbf4 + .quad 0x3535ca1f56b2d67b + .quad 0x5d8c68d043b1b42d + .quad 0xee332d4de3b42b0a + .quad 0xd84e5a2b16a4601c + .quad 0x78243877078ba3e4 + .quad 0x77ed1eb4184ee437 + + // 2^236 * 4 * G + + .quad 0xbfd4e13f201839a0 + .quad 0xaeefffe23e3df161 + .quad 0xb65b04f06b5d1fe3 + .quad 0x52e085fb2b62fbc0 + .quad 0x185d43f89e92ed1a + .quad 0xb04a1eeafe4719c6 + .quad 0x499fbe88a6f03f4f + .quad 0x5d8b0d2f3c859bdd + .quad 0x124079eaa54cf2ba + .quad 0xd72465eb001b26e7 + .quad 0x6843bcfdc97af7fd + .quad 0x0524b42b55eacd02 + + // 2^236 * 5 * G + + .quad 0xfd0d5dbee45447b0 + .quad 0x6cec351a092005ee + .quad 0x99a47844567579cb + .quad 0x59d242a216e7fa45 + .quad 0xbc18dcad9b829eac + .quad 0x23ae7d28b5f579d0 + .quad 0xc346122a69384233 + .quad 0x1a6110b2e7d4ac89 + .quad 0x4f833f6ae66997ac + .quad 0x6849762a361839a4 + .quad 0x6985dec1970ab525 + .quad 0x53045e89dcb1f546 + + // 2^236 * 6 * G + + .quad 0xcb8bb346d75353db + .quad 0xfcfcb24bae511e22 + .quad 0xcba48d40d50ae6ef + .quad 0x26e3bae5f4f7cb5d + .quad 0x84da3cde8d45fe12 + .quad 0xbd42c218e444e2d2 + .quad 0xa85196781f7e3598 + .quad 0x7642c93f5616e2b2 + .quad 0x2323daa74595f8e4 + .quad 0xde688c8b857abeb4 + .quad 0x3fc48e961c59326e + .quad 0x0b2e73ca15c9b8ba + + // 2^236 * 7 * G + + .quad 0xd6bb4428c17f5026 + .quad 0x9eb27223fb5a9ca7 + .quad 0xe37ba5031919c644 + .quad 0x21ce380db59a6602 + .quad 0x0e3fbfaf79c03a55 + .quad 0x3077af054cbb5acf + .quad 0xd5c55245db3de39f + .quad 0x015e68c1476a4af7 + .quad 0xc1d5285220066a38 + .quad 0x95603e523570aef3 + .quad 0x832659a7226b8a4d + .quad 0x5dd689091f8eedc9 + + // 2^236 * 8 * G + + .quad 0xcbac84debfd3c856 + .quad 0x1624c348b35ff244 + .quad 0xb7f88dca5d9cad07 + .quad 0x3b0e574da2c2ebe8 + .quad 0x1d022591a5313084 + .quad 0xca2d4aaed6270872 + .quad 0x86a12b852f0bfd20 + .quad 0x56e6c439ad7da748 + .quad 0xc704ff4942bdbae6 + .quad 0x5e21ade2b2de1f79 + .quad 0xe95db3f35652fad8 + .quad 0x0822b5378f08ebc1 + + // 2^240 * 1 * G + + .quad 0x51f048478f387475 + .quad 0xb25dbcf49cbecb3c + .quad 0x9aab1244d99f2055 + .quad 0x2c709e6c1c10a5d6 + .quad 0xe1b7f29362730383 + .quad 0x4b5279ffebca8a2c + .quad 0xdafc778abfd41314 + .quad 0x7deb10149c72610f + .quad 0xcb62af6a8766ee7a + .quad 0x66cbec045553cd0e + .quad 0x588001380f0be4b5 + .quad 0x08e68e9ff62ce2ea + + // 2^240 * 2 * G + + .quad 0x34ad500a4bc130ad + .quad 0x8d38db493d0bd49c + .quad 0xa25c3d98500a89be + .quad 0x2f1f3f87eeba3b09 + .quad 0x2f2d09d50ab8f2f9 + .quad 0xacb9218dc55923df + .quad 0x4a8f342673766cb9 + .quad 0x4cb13bd738f719f5 + .quad 0xf7848c75e515b64a + .quad 0xa59501badb4a9038 + .quad 0xc20d313f3f751b50 + .quad 0x19a1e353c0ae2ee8 + + // 2^240 * 3 * G + + .quad 0x7d1c7560bafa05c3 + .quad 0xb3e1a0a0c6e55e61 + .quad 0xe3529718c0d66473 + .quad 0x41546b11c20c3486 + .quad 0xb42172cdd596bdbd + .quad 0x93e0454398eefc40 + .quad 0x9fb15347b44109b5 + .quad 0x736bd3990266ae34 + .quad 0x85532d509334b3b4 + .quad 0x46fd114b60816573 + .quad 0xcc5f5f30425c8375 + .quad 0x412295a2b87fab5c + + // 2^240 * 4 * G + + .quad 0x19c99b88f57ed6e9 + .quad 0x5393cb266df8c825 + .quad 0x5cee3213b30ad273 + .quad 0x14e153ebb52d2e34 + .quad 0x2e655261e293eac6 + .quad 0x845a92032133acdb + .quad 0x460975cb7900996b + .quad 0x0760bb8d195add80 + .quad 0x413e1a17cde6818a + .quad 0x57156da9ed69a084 + .quad 0x2cbf268f46caccb1 + .quad 0x6b34be9bc33ac5f2 + + // 2^240 * 5 * G + + .quad 0xf3df2f643a78c0b2 + .quad 0x4c3e971ef22e027c + .quad 0xec7d1c5e49c1b5a3 + .quad 0x2012c18f0922dd2d + .quad 0x11fc69656571f2d3 + .quad 0xc6c9e845530e737a + .quad 0xe33ae7a2d4fe5035 + .quad 0x01b9c7b62e6dd30b + .quad 0x880b55e55ac89d29 + .quad 0x1483241f45a0a763 + .quad 0x3d36efdfc2e76c1f + .quad 0x08af5b784e4bade8 + + // 2^240 * 6 * G + + .quad 0x283499dc881f2533 + .quad 0x9d0525da779323b6 + .quad 0x897addfb673441f4 + .quad 0x32b79d71163a168d + .quad 0xe27314d289cc2c4b + .quad 0x4be4bd11a287178d + .quad 0x18d528d6fa3364ce + .quad 0x6423c1d5afd9826e + .quad 0xcc85f8d9edfcb36a + .quad 0x22bcc28f3746e5f9 + .quad 0xe49de338f9e5d3cd + .quad 0x480a5efbc13e2dcc + + // 2^240 * 7 * G + + .quad 0x0b51e70b01622071 + .quad 0x06b505cf8b1dafc5 + .quad 0x2c6bb061ef5aabcd + .quad 0x47aa27600cb7bf31 + .quad 0xb6614ce442ce221f + .quad 0x6e199dcc4c053928 + .quad 0x663fb4a4dc1cbe03 + .quad 0x24b31d47691c8e06 + .quad 0x2a541eedc015f8c3 + .quad 0x11a4fe7e7c693f7c + .quad 0xf0af66134ea278d6 + .quad 0x545b585d14dda094 + + // 2^240 * 8 * G + + .quad 0x67bf275ea0d43a0f + .quad 0xade68e34089beebe + .quad 0x4289134cd479e72e + .quad 0x0f62f9c332ba5454 + .quad 0x6204e4d0e3b321e1 + .quad 0x3baa637a28ff1e95 + .quad 0x0b0ccffd5b99bd9e + .quad 0x4d22dc3e64c8d071 + .quad 0xfcb46589d63b5f39 + .quad 0x5cae6a3f57cbcf61 + .quad 0xfebac2d2953afa05 + .quad 0x1c0fa01a36371436 + + // 2^244 * 1 * G + + .quad 0xe7547449bc7cd692 + .quad 0x0f9abeaae6f73ddf + .quad 0x4af01ca700837e29 + .quad 0x63ab1b5d3f1bc183 + .quad 0xc11ee5e854c53fae + .quad 0x6a0b06c12b4f3ff4 + .quad 0x33540f80e0b67a72 + .quad 0x15f18fc3cd07e3ef + .quad 0x32750763b028f48c + .quad 0x06020740556a065f + .quad 0xd53bd812c3495b58 + .quad 0x08706c9b865f508d + + // 2^244 * 2 * G + + .quad 0xf37ca2ab3d343dff + .quad 0x1a8c6a2d80abc617 + .quad 0x8e49e035d4ccffca + .quad 0x48b46beebaa1d1b9 + .quad 0xcc991b4138b41246 + .quad 0x243b9c526f9ac26b + .quad 0xb9ef494db7cbabbd + .quad 0x5fba433dd082ed00 + .quad 0x9c49e355c9941ad0 + .quad 0xb9734ade74498f84 + .quad 0x41c3fed066663e5c + .quad 0x0ecfedf8e8e710b3 + + // 2^244 * 3 * G + + .quad 0x76430f9f9cd470d9 + .quad 0xb62acc9ba42f6008 + .quad 0x1898297c59adad5e + .quad 0x7789dd2db78c5080 + .quad 0x744f7463e9403762 + .quad 0xf79a8dee8dfcc9c9 + .quad 0x163a649655e4cde3 + .quad 0x3b61788db284f435 + .quad 0xb22228190d6ef6b2 + .quad 0xa94a66b246ce4bfa + .quad 0x46c1a77a4f0b6cc7 + .quad 0x4236ccffeb7338cf + + // 2^244 * 4 * G + + .quad 0x8497404d0d55e274 + .quad 0x6c6663d9c4ad2b53 + .quad 0xec2fb0d9ada95734 + .quad 0x2617e120cdb8f73c + .quad 0x3bd82dbfda777df6 + .quad 0x71b177cc0b98369e + .quad 0x1d0e8463850c3699 + .quad 0x5a71945b48e2d1f1 + .quad 0x6f203dd5405b4b42 + .quad 0x327ec60410b24509 + .quad 0x9c347230ac2a8846 + .quad 0x77de29fc11ffeb6a + + // 2^244 * 5 * G + + .quad 0xb0ac57c983b778a8 + .quad 0x53cdcca9d7fe912c + .quad 0x61c2b854ff1f59dc + .quad 0x3a1a2cf0f0de7dac + .quad 0x835e138fecced2ca + .quad 0x8c9eaf13ea963b9a + .quad 0xc95fbfc0b2160ea6 + .quad 0x575e66f3ad877892 + .quad 0x99803a27c88fcb3a + .quad 0x345a6789275ec0b0 + .quad 0x459789d0ff6c2be5 + .quad 0x62f882651e70a8b2 + + // 2^244 * 6 * G + + .quad 0x085ae2c759ff1be4 + .quad 0x149145c93b0e40b7 + .quad 0xc467e7fa7ff27379 + .quad 0x4eeecf0ad5c73a95 + .quad 0x6d822986698a19e0 + .quad 0xdc9821e174d78a71 + .quad 0x41a85f31f6cb1f47 + .quad 0x352721c2bcda9c51 + .quad 0x48329952213fc985 + .quad 0x1087cf0d368a1746 + .quad 0x8e5261b166c15aa5 + .quad 0x2d5b2d842ed24c21 + + // 2^244 * 7 * G + + .quad 0x02cfebd9ebd3ded1 + .quad 0xd45b217739021974 + .quad 0x7576f813fe30a1b7 + .quad 0x5691b6f9a34ef6c2 + .quad 0x5eb7d13d196ac533 + .quad 0x377234ecdb80be2b + .quad 0xe144cffc7cf5ae24 + .quad 0x5226bcf9c441acec + .quad 0x79ee6c7223e5b547 + .quad 0x6f5f50768330d679 + .quad 0xed73e1e96d8adce9 + .quad 0x27c3da1e1d8ccc03 + + // 2^244 * 8 * G + + .quad 0x7eb9efb23fe24c74 + .quad 0x3e50f49f1651be01 + .quad 0x3ea732dc21858dea + .quad 0x17377bd75bb810f9 + .quad 0x28302e71630ef9f6 + .quad 0xc2d4a2032b64cee0 + .quad 0x090820304b6292be + .quad 0x5fca747aa82adf18 + .quad 0x232a03c35c258ea5 + .quad 0x86f23a2c6bcb0cf1 + .quad 0x3dad8d0d2e442166 + .quad 0x04a8933cab76862b + + // 2^248 * 1 * G + + .quad 0xd2c604b622943dff + .quad 0xbc8cbece44cfb3a0 + .quad 0x5d254ff397808678 + .quad 0x0fa3614f3b1ca6bf + .quad 0x69082b0e8c936a50 + .quad 0xf9c9a035c1dac5b6 + .quad 0x6fb73e54c4dfb634 + .quad 0x4005419b1d2bc140 + .quad 0xa003febdb9be82f0 + .quad 0x2089c1af3a44ac90 + .quad 0xf8499f911954fa8e + .quad 0x1fba218aef40ab42 + + // 2^248 * 2 * G + + .quad 0xab549448fac8f53e + .quad 0x81f6e89a7ba63741 + .quad 0x74fd6c7d6c2b5e01 + .quad 0x392e3acaa8c86e42 + .quad 0x4f3e57043e7b0194 + .quad 0xa81d3eee08daaf7f + .quad 0xc839c6ab99dcdef1 + .quad 0x6c535d13ff7761d5 + .quad 0x4cbd34e93e8a35af + .quad 0x2e0781445887e816 + .quad 0x19319c76f29ab0ab + .quad 0x25e17fe4d50ac13b + + // 2^248 * 3 * G + + .quad 0x0a289bd71e04f676 + .quad 0x208e1c52d6420f95 + .quad 0x5186d8b034691fab + .quad 0x255751442a9fb351 + .quad 0x915f7ff576f121a7 + .quad 0xc34a32272fcd87e3 + .quad 0xccba2fde4d1be526 + .quad 0x6bba828f8969899b + .quad 0xe2d1bc6690fe3901 + .quad 0x4cb54a18a0997ad5 + .quad 0x971d6914af8460d4 + .quad 0x559d504f7f6b7be4 + + // 2^248 * 4 * G + + .quad 0xa7738378b3eb54d5 + .quad 0x1d69d366a5553c7c + .quad 0x0a26cf62f92800ba + .quad 0x01ab12d5807e3217 + .quad 0x9c4891e7f6d266fd + .quad 0x0744a19b0307781b + .quad 0x88388f1d6061e23b + .quad 0x123ea6a3354bd50e + .quad 0x118d189041e32d96 + .quad 0xb9ede3c2d8315848 + .quad 0x1eab4271d83245d9 + .quad 0x4a3961e2c918a154 + + // 2^248 * 5 * G + + .quad 0x71dc3be0f8e6bba0 + .quad 0xd6cef8347effe30a + .quad 0xa992425fe13a476a + .quad 0x2cd6bce3fb1db763 + .quad 0x0327d644f3233f1e + .quad 0x499a260e34fcf016 + .quad 0x83b5a716f2dab979 + .quad 0x68aceead9bd4111f + .quad 0x38b4c90ef3d7c210 + .quad 0x308e6e24b7ad040c + .quad 0x3860d9f1b7e73e23 + .quad 0x595760d5b508f597 + + // 2^248 * 6 * G + + .quad 0x6129bfe104aa6397 + .quad 0x8f960008a4a7fccb + .quad 0x3f8bc0897d909458 + .quad 0x709fa43edcb291a9 + .quad 0x882acbebfd022790 + .quad 0x89af3305c4115760 + .quad 0x65f492e37d3473f4 + .quad 0x2cb2c5df54515a2b + .quad 0xeb0a5d8c63fd2aca + .quad 0xd22bc1662e694eff + .quad 0x2723f36ef8cbb03a + .quad 0x70f029ecf0c8131f + + // 2^248 * 7 * G + + .quad 0x461307b32eed3e33 + .quad 0xae042f33a45581e7 + .quad 0xc94449d3195f0366 + .quad 0x0b7d5d8a6c314858 + .quad 0x2a6aafaa5e10b0b9 + .quad 0x78f0a370ef041aa9 + .quad 0x773efb77aa3ad61f + .quad 0x44eca5a2a74bd9e1 + .quad 0x25d448327b95d543 + .quad 0x70d38300a3340f1d + .quad 0xde1c531c60e1c52b + .quad 0x272224512c7de9e4 + + // 2^248 * 8 * G + + .quad 0x1abc92af49c5342e + .quad 0xffeed811b2e6fad0 + .quad 0xefa28c8dfcc84e29 + .quad 0x11b5df18a44cc543 + .quad 0xbf7bbb8a42a975fc + .quad 0x8c5c397796ada358 + .quad 0xe27fc76fcdedaa48 + .quad 0x19735fd7f6bc20a6 + .quad 0xe3ab90d042c84266 + .quad 0xeb848e0f7f19547e + .quad 0x2503a1d065a497b9 + .quad 0x0fef911191df895f + + // 2^252 * 1 * G + + .quad 0xb1507ca1ab1c6eb9 + .quad 0xbd448f3e16b687b3 + .quad 0x3455fb7f2c7a91ab + .quad 0x7579229e2f2adec1 + .quad 0x6ab5dcb85b1c16b7 + .quad 0x94c0fce83c7b27a5 + .quad 0xa4b11c1a735517be + .quad 0x499238d0ba0eafaa + .quad 0xecf46e527aba8b57 + .quad 0x15a08c478bd1647b + .quad 0x7af1c6a65f706fef + .quad 0x6345fa78f03a30d5 + + // 2^252 * 2 * G + + .quad 0xdf02f95f1015e7a1 + .quad 0x790ec41da9b40263 + .quad 0x4d3a0ea133ea1107 + .quad 0x54f70be7e33af8c9 + .quad 0x93d3cbe9bdd8f0a4 + .quad 0xdb152c1bfd177302 + .quad 0x7dbddc6d7f17a875 + .quad 0x3e1a71cc8f426efe + .quad 0xc83ca3e390babd62 + .quad 0x80ede3670291c833 + .quad 0xc88038ccd37900c4 + .quad 0x2c5fc0231ec31fa1 + + // 2^252 * 3 * G + + .quad 0xfeba911717038b4f + .quad 0xe5123721c9deef81 + .quad 0x1c97e4e75d0d8834 + .quad 0x68afae7a23dc3bc6 + .quad 0xc422e4d102456e65 + .quad 0x87414ac1cad47b91 + .quad 0x1592e2bba2b6ffdd + .quad 0x75d9d2bff5c2100f + .quad 0x5bd9b4763626e81c + .quad 0x89966936bca02edd + .quad 0x0a41193d61f077b3 + .quad 0x3097a24200ce5471 + + // 2^252 * 4 * G + + .quad 0x57427734c7f8b84c + .quad 0xf141a13e01b270e9 + .quad 0x02d1adfeb4e564a6 + .quad 0x4bb23d92ce83bd48 + .quad 0xa162e7246695c486 + .quad 0x131d633435a89607 + .quad 0x30521561a0d12a37 + .quad 0x56704bada6afb363 + .quad 0xaf6c4aa752f912b9 + .quad 0x5e665f6cd86770c8 + .quad 0x4c35ac83a3c8cd58 + .quad 0x2b7a29c010a58a7e + + // 2^252 * 5 * G + + .quad 0xc4007f77d0c1cec3 + .quad 0x8d1020b6bac492f8 + .quad 0x32ec29d57e69daaf + .quad 0x599408759d95fce0 + .quad 0x33810a23bf00086e + .quad 0xafce925ee736ff7c + .quad 0x3d60e670e24922d4 + .quad 0x11ce9e714f96061b + .quad 0x219ef713d815bac1 + .quad 0xf141465d485be25c + .quad 0x6d5447cc4e513c51 + .quad 0x174926be5ef44393 + + // 2^252 * 6 * G + + .quad 0xb5deb2f9fc5bd5bb + .quad 0x92daa72ae1d810e1 + .quad 0xafc4cfdcb72a1c59 + .quad 0x497d78813fc22a24 + .quad 0x3ef5d41593ea022e + .quad 0x5cbcc1a20ed0eed6 + .quad 0x8fd24ecf07382c8c + .quad 0x6fa42ead06d8e1ad + .quad 0xe276824a1f73371f + .quad 0x7f7cf01c4f5b6736 + .quad 0x7e201fe304fa46e7 + .quad 0x785a36a357808c96 + + // 2^252 * 7 * G + + .quad 0x825fbdfd63014d2b + .quad 0xc852369c6ca7578b + .quad 0x5b2fcd285c0b5df0 + .quad 0x12ab214c58048c8f + .quad 0x070442985d517bc3 + .quad 0x6acd56c7ae653678 + .quad 0x00a27983985a7763 + .quad 0x5167effae512662b + .quad 0xbd4ea9e10f53c4b6 + .quad 0x1673dc5f8ac91a14 + .quad 0xa8f81a4e2acc1aba + .quad 0x33a92a7924332a25 + + // 2^252 * 8 * G + + .quad 0x9dd1f49927996c02 + .quad 0x0cb3b058e04d1752 + .quad 0x1f7e88967fd02c3e + .quad 0x2f964268cb8b3eb1 + .quad 0x7ba95ba0218f2ada + .quad 0xcff42287330fb9ca + .quad 0xdada496d56c6d907 + .quad 0x5380c296f4beee54 + .quad 0x9d4f270466898d0a + .quad 0x3d0987990aff3f7a + .quad 0xd09ef36267daba45 + .quad 0x7761455e7b1c669c diff --git a/cbits/s2n/x86_att/curve25519_x25519base_alt.S b/cbits/s2n/x86_att/curve25519_x25519base_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/curve25519_x25519base_alt.S @@ -0,0 +1,9965 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// The x25519 function for curve25519 on base element 9 +// Input scalar[4]; output res[4] +// +// extern void curve25519_x25519base_alt +// (uint64_t res[static 4],const uint64_t scalar[static 4]); +// +// The function has a second prototype considering the arguments as arrays +// of bytes rather than 64-bit words. The underlying code is the same, since +// the x86 platform is little-endian. +// +// extern void curve25519_x25519base_byte_alt +// (uint8_t res[static 32],const uint8_t scalar[static 32]); +// +// Given a scalar n, returns the X coordinate of n * G where G = (9,...) is +// the standard generator. The scalar is first slightly modified/mangled +// as specified in the relevant RFC (https://www.rfc-editor.org/rfc/rfc7748). +// +// Standard x86-64 ABI: RDI = res, RSI = scalar +// Microsoft x64 ABI: RCX = res, RDX = scalar +// ---------------------------------------------------------------------------- +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(curve25519_x25519base_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(curve25519_x25519base_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(curve25519_x25519base_alt) + S2N_BN_SYM_VISIBILITY_DIRECTIVE(curve25519_x25519base_byte_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(curve25519_x25519base_byte_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(curve25519_x25519base_byte_alt) + + .text + .balign 32 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Pointer-offset pairs for result and temporaries on stack with some aliasing. +// The result "resx" assumes the "res" pointer has been preloaded into %rbp. + +#define resx (0*NUMSIZE)(%rbp) + +#define scalar (0*NUMSIZE)(%rsp) + +#define tabent (1*NUMSIZE)(%rsp) +#define ymx_2 (1*NUMSIZE)(%rsp) +#define xpy_2 (2*NUMSIZE)(%rsp) +#define kxy_2 (3*NUMSIZE)(%rsp) + +#define acc (4*NUMSIZE)(%rsp) +#define x_1 (4*NUMSIZE)(%rsp) +#define y_1 (5*NUMSIZE)(%rsp) +#define z_1 (6*NUMSIZE)(%rsp) +#define w_1 (7*NUMSIZE)(%rsp) +#define x_3 (4*NUMSIZE)(%rsp) +#define y_3 (5*NUMSIZE)(%rsp) +#define z_3 (6*NUMSIZE)(%rsp) +#define w_3 (7*NUMSIZE)(%rsp) + +#define tmpspace (8*NUMSIZE)(%rsp) +#define t0 (8*NUMSIZE)(%rsp) +#define t1 (9*NUMSIZE)(%rsp) +#define t2 (10*NUMSIZE)(%rsp) +#define t3 (11*NUMSIZE)(%rsp) +#define t4 (12*NUMSIZE)(%rsp) +#define t5 (13*NUMSIZE)(%rsp) + +// Stable homes for the input result pointer, and other variables + +#define res 14*NUMSIZE(%rsp) + +#define i 14*NUMSIZE+8(%rsp) + +#define bias 14*NUMSIZE+16(%rsp) + +#define bf 14*NUMSIZE+24(%rsp) +#define ix 14*NUMSIZE+24(%rsp) + +#define tab 15*NUMSIZE(%rsp) + +// Total size to reserve on the stack + +#define NSPACE 488 + +// Macro wrapping up the basic field multiplication, only trivially +// different from a pure function call to bignum_mul_p25519_alt. + +#define mul_p25519(P0,P1,P2) \ + movq P1, %rax ; \ + mulq P2; \ + movq %rax, %r8 ; \ + movq %rdx, %r9 ; \ + xorq %r10, %r10 ; \ + xorq %r11, %r11 ; \ + movq P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + movq 0x8+P1, %rax ; \ + mulq P2; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + adcq $0x0, %r11 ; \ + xorq %r12, %r12 ; \ + movq P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq %r12, %r12 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq $0x0, %r12 ; \ + movq 0x10+P1, %rax ; \ + mulq P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq $0x0, %r12 ; \ + xorq %r13, %r13 ; \ + movq P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq %r13, %r13 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + movq 0x18+P1, %rax ; \ + mulq P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + xorq %r14, %r14 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq %r14, %r14 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq $0x0, %r14 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq $0x0, %r14 ; \ + xorq %r15, %r15 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + adcq %r15, %r15 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + adcq $0x0, %r15 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r14 ; \ + adcq %rdx, %r15 ; \ + movl $0x26, %esi ; \ + movq %r12, %rax ; \ + mulq %rsi; \ + addq %rax, %r8 ; \ + adcq %rdx, %r9 ; \ + sbbq %rcx, %rcx ; \ + movq %r13, %rax ; \ + mulq %rsi; \ + subq %rcx, %rdx ; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + sbbq %rcx, %rcx ; \ + movq %r14, %rax ; \ + mulq %rsi; \ + subq %rcx, %rdx ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %rcx, %rcx ; \ + movq %r15, %rax ; \ + mulq %rsi; \ + subq %rcx, %rdx ; \ + xorq %rcx, %rcx ; \ + addq %rax, %r11 ; \ + movq %rdx, %r12 ; \ + adcq %rcx, %r12 ; \ + shldq $0x1, %r11, %r12 ; \ + leaq 0x1(%r12), %rax ; \ + movl $0x13, %esi ; \ + bts $63, %r11 ; \ + imulq %rsi, %rax ; \ + addq %rax, %r8 ; \ + adcq %rcx, %r9 ; \ + adcq %rcx, %r10 ; \ + adcq %rcx, %r11 ; \ + sbbq %rax, %rax ; \ + notq %rax; \ + andq %rsi, %rax ; \ + subq %rax, %r8 ; \ + sbbq %rcx, %r9 ; \ + sbbq %rcx, %r10 ; \ + sbbq %rcx, %r11 ; \ + btr $63, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// A version of multiplication that only guarantees output < 2 * p_25519. +// This basically skips the +1 and final correction in quotient estimation. + +#define mul_4(P0,P1,P2) \ + movq P1, %rax ; \ + mulq P2; \ + movq %rax, %r8 ; \ + movq %rdx, %r9 ; \ + xorq %r10, %r10 ; \ + xorq %r11, %r11 ; \ + movq P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + movq 0x8+P1, %rax ; \ + mulq P2; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + adcq $0x0, %r11 ; \ + xorq %r12, %r12 ; \ + movq P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq %r12, %r12 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq $0x0, %r12 ; \ + movq 0x10+P1, %rax ; \ + mulq P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq $0x0, %r12 ; \ + xorq %r13, %r13 ; \ + movq P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq %r13, %r13 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + movq 0x18+P1, %rax ; \ + mulq P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + xorq %r14, %r14 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq %r14, %r14 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq $0x0, %r14 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq $0x0, %r14 ; \ + xorq %r15, %r15 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + adcq %r15, %r15 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + adcq $0x0, %r15 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r14 ; \ + adcq %rdx, %r15 ; \ + movl $0x26, %ebx ; \ + movq %r12, %rax ; \ + mulq %rbx; \ + addq %rax, %r8 ; \ + adcq %rdx, %r9 ; \ + sbbq %rcx, %rcx ; \ + movq %r13, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + sbbq %rcx, %rcx ; \ + movq %r14, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %rcx, %rcx ; \ + movq %r15, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + xorq %rcx, %rcx ; \ + addq %rax, %r11 ; \ + movq %rdx, %r12 ; \ + adcq %rcx, %r12 ; \ + shldq $0x1, %r11, %r12 ; \ + btr $0x3f, %r11 ; \ + movl $0x13, %edx ; \ + imulq %r12, %rdx ; \ + addq %rdx, %r8 ; \ + adcq %rcx, %r9 ; \ + adcq %rcx, %r10 ; \ + adcq %rcx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// Modular subtraction with double modulus 2 * p_25519 = 2^256 - 38 + +#define sub_twice4(P0,P1,P2) \ + movq P1, %r8 ; \ + xorl %ebx, %ebx ; \ + subq P2, %r8 ; \ + movq 8+P1, %r9 ; \ + sbbq 8+P2, %r9 ; \ + movl $38, %ecx ; \ + movq 16+P1, %r10 ; \ + sbbq 16+P2, %r10 ; \ + movq 24+P1, %rax ; \ + sbbq 24+P2, %rax ; \ + cmovncq %rbx, %rcx ; \ + subq %rcx, %r8 ; \ + sbbq %rbx, %r9 ; \ + sbbq %rbx, %r10 ; \ + sbbq %rbx, %rax ; \ + movq %r8, P0 ; \ + movq %r9, 8+P0 ; \ + movq %r10, 16+P0 ; \ + movq %rax, 24+P0 + +// Modular addition and doubling with double modulus 2 * p_25519 = 2^256 - 38. +// This only ensures that the result fits in 4 digits, not that it is reduced +// even w.r.t. double modulus. The result is always correct modulo provided +// the sum of the inputs is < 2^256 + 2^256 - 38, so in particular provided +// at least one of them is reduced double modulo. + +#define add_twice4(P0,P1,P2) \ + movq P1, %r8 ; \ + xorl %ecx, %ecx ; \ + addq P2, %r8 ; \ + movq 0x8+P1, %r9 ; \ + adcq 0x8+P2, %r9 ; \ + movq 0x10+P1, %r10 ; \ + adcq 0x10+P2, %r10 ; \ + movq 0x18+P1, %r11 ; \ + adcq 0x18+P2, %r11 ; \ + movl $38, %eax ; \ + cmovncq %rcx, %rax ; \ + addq %rax, %r8 ; \ + adcq %rcx, %r9 ; \ + adcq %rcx, %r10 ; \ + adcq %rcx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +#define double_twice4(P0,P1) \ + movq P1, %r8 ; \ + xorl %ecx, %ecx ; \ + addq %r8, %r8 ; \ + movq 0x8+P1, %r9 ; \ + adcq %r9, %r9 ; \ + movq 0x10+P1, %r10 ; \ + adcq %r10, %r10 ; \ + movq 0x18+P1, %r11 ; \ + adcq %r11, %r11 ; \ + movl $38, %eax ; \ + cmovncq %rcx, %rax ; \ + addq %rax, %r8 ; \ + adcq %rcx, %r9 ; \ + adcq %rcx, %r10 ; \ + adcq %rcx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +S2N_BN_SYMBOL(curve25519_x25519base_alt): +S2N_BN_SYMBOL(curve25519_x25519base_byte_alt): + CFI_START + _CET_ENDBR + +// In this case the Windows form literally makes a subroutine call. +// This avoids hassle arising from keeping code and data together. + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + CFI_CALL(Lcurve25519_x25519base_alt_standard) + CFI_POP(%rsi) + CFI_POP(%rdi) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(curve25519_x25519base_alt) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lcurve25519_x25519base_alt_standard) + +Lcurve25519_x25519base_alt_standard: + CFI_START +#endif + +// Save registers, make room for temps, preserve input arguments. + + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(NSPACE) + +// Move the output pointer to a stable place + + movq %rdi, res + +// Copy the input scalar to its local variable while mangling it. +// In principle the mangling is into 01xxx...xxx000, but actually +// we only clear the top two bits so 00xxx...xxxxxx. The additional +// 2^254 * G is taken care of by the starting value for the addition +// chain below, while we never look at the three low bits at all. + + movq (%rsi), %rax + movq %rax, (%rsp) + movq 8(%rsi), %rax + movq %rax, 8(%rsp) + movq 16(%rsi), %rax + movq %rax, 16(%rsp) + movq $0x3fffffffffffffff, %rax + andq 24(%rsi), %rax + movq %rax, 24(%rsp) + +// The main part of the computation is on the edwards25519 curve in +// extended-projective coordinates (X,Y,Z,T), representing a point +// (x,y) via x = X/Z, y = Y/Z and x * y = T/Z (so X * Y = T * Z). +// Only at the very end do we translate back to curve25519. So G +// below means the generator within edwards25519 corresponding to +// (9,...) for curve25519, via the standard isomorphism. +// +// Initialize accumulator "acc" to either (2^254 + 8) * G or just 2^254 * G +// depending on bit 3 of the scalar, the only nonzero bit of the bottom 4. +// Thus, we have effectively dealt with bits 0, 1, 2, 3, 254 and 255. + + movq (%rsp), %rax + andq $8, %rax + + leaq S2N_BN_SYMBOL(curve25519_x25519base_alt_constant)(%rip), %r10 + leaq 8*12(%r10), %r11 + + movq (%r10), %rax + movq (%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*16(%rsp) + + movq 8*1(%r10), %rax + movq 8*1(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*17(%rsp) + + movq 8*2(%r10), %rax + movq 8*2(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*18(%rsp) + + movq 8*3(%r10), %rax + movq 8*3(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*19(%rsp) + + movq 8*4(%r10), %rax + movq 8*4(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*20(%rsp) + + movq 8*5(%r10), %rax + movq 8*5(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*21(%rsp) + + movq 8*6(%r10), %rax + movq 8*6(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*22(%rsp) + + movq 8*7(%r10), %rax + movq 8*7(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*23(%rsp) + + movl $1, %eax + movq %rax, 8*24(%rsp) + movl $0, %eax + movq %rax, 8*25(%rsp) + movq %rax, 8*26(%rsp) + movq %rax, 8*27(%rsp) + + movq 8*8(%r10), %rax + movq 8*8(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*28(%rsp) + + movq 8*9(%r10), %rax + movq 8*9(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*29(%rsp) + + movq 8*10(%r10), %rax + movq 8*10(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*30(%rsp) + + movq 8*11(%r10), %rax + movq 8*11(%r11), %rcx + cmovnzq %rcx, %rax + movq %rax, 8*31(%rsp) + +// The counter "i" tracks the bit position for which the scalar has +// already been absorbed, starting at 4 and going up in chunks of 4. +// +// The pointer "tab" points at the current block of the table for +// multiples (2^i * j) * G at the current bit position i; 1 <= j <= 8. +// +// The bias is always either 0 and 1 and needs to be added to the +// partially processed scalar implicitly. This is used to absorb 4 bits +// of scalar per iteration from 3-bit table indexing by exploiting +// negation: (16 * h + l) * G = (16 * (h + 1) - (16 - l)) * G is used +// when l >= 9. Note that we can't have any bias left over at the +// end because of the clearing of bit 255 of the scalar, meaning the +// l >= 9 case cannot arise on the last iteration. + + movq $4, i + leaq 8*24(%r10), %rax + movq %rax, tab + movq $0, bias + +// Start of the main loop, repeated 63 times for i = 4, 8, ..., 252 + +Lcurve25519_x25519base_alt_scalarloop: + +// Look at the next 4-bit field "bf", adding the previous bias as well. +// Choose the table index "ix" as bf when bf <= 8 and 16 - bf for bf >= 9, +// setting the bias to 1 for the next iteration in the latter case. + + movq i, %rax + movq %rax, %rcx + shrq $6, %rax + movq (%rsp,%rax,8), %rax // Exploiting scalar = sp exactly + shrq %cl, %rax + andq $15, %rax + addq bias, %rax + movq %rax, bf + + cmpq $9, bf + sbbq %rax, %rax + incq %rax + movq %rax, bias + + movq $16, %rdi + subq bf, %rdi + cmpq $0, bias + cmovzq bf, %rdi + movq %rdi, ix + +// Perform constant-time lookup in the table to get element number "ix". +// The table entry for the affine point (x,y) is actually a triple +// (y - x,x + y,2 * d * x * y) to precompute parts of the addition. +// Note that "ix" can be 0, so we set up the appropriate identity first. + + movl $1, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + movl $1, %r8d + xorl %r9d, %r9d + xorl %r10d, %r10d + xorl %r11d, %r11d + xorl %r12d, %r12d + xorl %r13d, %r13d + xorl %r14d, %r14d + xorl %r15d, %r15d + + movq tab, %rbp + + cmpq $1, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $2, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $3, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $4, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $5, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $6, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $7, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $8, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + + addq $96, %rbp + movq %rbp, tab + +// We now have the triple from the table in registers as follows +// +// [%rdx;%rcx;%rbx;%rax] = y - x +// [%r11;%r10;%r9;%r8] = x + y +// [%r15;%r14;%r13;%r12] = 2 * d * x * y +// +// In case bias = 1 we need to negate this. For Edwards curves +// -(x,y) = (-x,y), i.e. we need to negate the x coordinate. +// In this processed encoding, that amounts to swapping the +// first two fields and negating the third. +// +// The optional negation here also pretends bias = 0 whenever +// ix = 0 so that it doesn't need to handle the case of zero +// inputs, since no non-trivial table entries are zero. Note +// that in the zero case the whole negation is trivial, and +// so indeed is the swapping. + + cmpq $0, bias + + movq %rax, %rsi + cmovnzq %r8, %rsi + cmovnzq %rax, %r8 + movq %rsi, 32(%rsp) + movq %r8, 64(%rsp) + + movq %rbx, %rsi + cmovnzq %r9, %rsi + cmovnzq %rbx, %r9 + movq %rsi, 40(%rsp) + movq %r9, 72(%rsp) + + movq %rcx, %rsi + cmovnzq %r10, %rsi + cmovnzq %rcx, %r10 + movq %rsi, 48(%rsp) + movq %r10, 80(%rsp) + + movq %rdx, %rsi + cmovnzq %r11, %rsi + cmovnzq %rdx, %r11 + movq %rsi, 56(%rsp) + movq %r11, 88(%rsp) + + movq $-19, %rax + movq $-1, %rbx + movq $-1, %rcx + movq $0x7fffffffffffffff, %rdx + subq %r12, %rax + sbbq %r13, %rbx + sbbq %r14, %rcx + sbbq %r15, %rdx + + movq ix, %r8 + movq bias, %r9 + testq %r8, %r8 + cmovzq %r8, %r9 + testq %r9, %r9 + + cmovzq %r12, %rax + cmovzq %r13, %rbx + cmovzq %r14, %rcx + cmovzq %r15, %rdx + movq %rax, 96(%rsp) + movq %rbx, 104(%rsp) + movq %rcx, 112(%rsp) + movq %rdx, 120(%rsp) + +// Extended-projective and precomputed mixed addition. +// This is effectively the same as calling the standalone +// function edwards25519_pepadd_alt(acc,acc,tabent), but we +// only retain slightly weaker normalization < 2 * p_25519 +// throughout the inner loop, so the computation is +// slightly different, and faster overall. + + double_twice4(t0,z_1) + sub_twice4(t1,y_1,x_1) + add_twice4(t2,y_1,x_1) + mul_4(t3,w_1,kxy_2) + mul_4(t1,t1,ymx_2) + mul_4(t2,t2,xpy_2) + sub_twice4(t4,t0,t3) + add_twice4(t0,t0,t3) + sub_twice4(t5,t2,t1) + add_twice4(t1,t2,t1) + mul_4(z_3,t4,t0) + mul_4(x_3,t5,t4) + mul_4(y_3,t0,t1) + mul_4(w_3,t5,t1) + +// End of the main loop; move on by 4 bits. + + addq $4, i + cmpq $256, i + jc Lcurve25519_x25519base_alt_scalarloop + +// Now we need to translate from Edwards curve edwards25519 back +// to the Montgomery form curve25519. The mapping in the affine +// representations is +// +// (x,y) |-> ((1 + y) / (1 - y), c * (1 + y) / ((1 - y) * x)) +// +// For x25519, we only need the x coordinate, and we compute this as +// +// (1 + y) / (1 - y) = (x + x * y) / (x - x * y) +// = (X/Z + T/Z) / (X/Z - T/Z) +// = (X + T) / (X - T) +// = (X + T) * inverse(X - T) +// +// We could equally well use (Z + Y) / (Z - Y), but the above has the +// same cost, and it more explicitly forces zero output whenever X = 0, +// regardless of how the modular inverse behaves on zero inputs. In +// the present setting (base point 9, mangled scalar) that doesn't +// really matter anyway since X = 0 never arises, but it seems a +// little bit tidier. Note that both Edwards point (0,1) which maps to +// the Montgomery point at infinity, and Edwards (0,-1) which maps to +// Montgomery (0,0) [this is the 2-torsion point] are both by definition +// mapped to 0 by the X coordinate mapping used to define curve25519. +// +// First the addition and subtraction: + + add_twice4(t1,x_3,w_3) + sub_twice4(t2,x_3,w_3) + +// Prepare to call the modular inverse function to get t0 = 1/t2 +// Note that this works for the weakly normalized z_3 equally well. +// The non-coprime case z_3 == 0 (mod p_25519) cannot arise anyway. + + leaq 256(%rsp), %rdi + leaq 320(%rsp), %rsi + +// Inline copy of bignum_inv_p25519, identical except for stripping out +// the prologue and epilogue saving and restoring registers and making +// and reclaiming room on the stack. For more details and explanations see +// "x86/curve25519/bignum_inv_p25519.S". Note that the stack it uses for +// its own temporaries is 208 bytes, so it has no effect on variables +// that are needed in the rest of our computation here: res, t0, t1, t2. + + movq %rdi, 0xc0(%rsp) + xorl %eax, %eax + leaq -0x13(%rax), %rcx + notq %rax + movq %rcx, (%rsp) + movq %rax, 0x8(%rsp) + movq %rax, 0x10(%rsp) + btr $0x3f, %rax + movq %rax, 0x18(%rsp) + movq (%rsi), %rdx + movq 0x8(%rsi), %rcx + movq 0x10(%rsi), %r8 + movq 0x18(%rsi), %r9 + movl $0x1, %eax + xorl %r10d, %r10d + bts $0x3f, %r9 + adcq %r10, %rax + imulq $0x13, %rax, %rax + addq %rax, %rdx + adcq %r10, %rcx + adcq %r10, %r8 + adcq %r10, %r9 + movl $0x13, %eax + cmovbq %r10, %rax + subq %rax, %rdx + sbbq %r10, %rcx + sbbq %r10, %r8 + sbbq %r10, %r9 + btr $0x3f, %r9 + movq %rdx, 0x20(%rsp) + movq %rcx, 0x28(%rsp) + movq %r8, 0x30(%rsp) + movq %r9, 0x38(%rsp) + xorl %eax, %eax + movq %rax, 0x40(%rsp) + movq %rax, 0x48(%rsp) + movq %rax, 0x50(%rsp) + movq %rax, 0x58(%rsp) + movabsq $0xa0f99e2375022099, %rax + movq %rax, 0x60(%rsp) + movabsq $0xa8c68f3f1d132595, %rax + movq %rax, 0x68(%rsp) + movabsq $0x6c6c893805ac5242, %rax + movq %rax, 0x70(%rsp) + movabsq $0x276508b241770615, %rax + movq %rax, 0x78(%rsp) + movq $0xa, 0x90(%rsp) + movq $0x1, 0x98(%rsp) + jmp Lcurve25519_x25519base_alt_midloop +Lcurve25519_x25519base_alt_inverseloop: + movq %r8, %r9 + sarq $0x3f, %r9 + xorq %r9, %r8 + subq %r9, %r8 + movq %r10, %r11 + sarq $0x3f, %r11 + xorq %r11, %r10 + subq %r11, %r10 + movq %r12, %r13 + sarq $0x3f, %r13 + xorq %r13, %r12 + subq %r13, %r12 + movq %r14, %r15 + sarq $0x3f, %r15 + xorq %r15, %r14 + subq %r15, %r14 + movq %r8, %rax + andq %r9, %rax + movq %r10, %rdi + andq %r11, %rdi + addq %rax, %rdi + movq %rdi, 0x80(%rsp) + movq %r12, %rax + andq %r13, %rax + movq %r14, %rsi + andq %r15, %rsi + addq %rax, %rsi + movq %rsi, 0x88(%rsp) + xorl %ebx, %ebx + movq (%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rdi + adcq %rdx, %rbx + movq 0x20(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rdi + adcq %rdx, %rbx + xorl %ebp, %ebp + movq (%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x20(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + xorl %ecx, %ecx + movq 0x8(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x28(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + shrdq $0x3b, %rbx, %rdi + movq %rdi, (%rsp) + xorl %edi, %edi + movq 0x8(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rbp + adcq %rdx, %rdi + movq 0x28(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rdi + shrdq $0x3b, %rbp, %rsi + movq %rsi, 0x20(%rsp) + xorl %esi, %esi + movq 0x10(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rsi + movq 0x30(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rsi + shrdq $0x3b, %rcx, %rbx + movq %rbx, 0x8(%rsp) + xorl %ebx, %ebx + movq 0x10(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rdi + adcq %rdx, %rbx + movq 0x30(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rdi + adcq %rdx, %rbx + shrdq $0x3b, %rdi, %rbp + movq %rbp, 0x28(%rsp) + movq 0x18(%rsp), %rax + xorq %r9, %rax + movq %rax, %rbp + sarq $0x3f, %rbp + andq %r8, %rbp + negq %rbp + mulq %r8 + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x38(%rsp), %rax + xorq %r11, %rax + movq %rax, %rdx + sarq $0x3f, %rdx + andq %r10, %rdx + subq %rdx, %rbp + mulq %r10 + addq %rax, %rsi + adcq %rdx, %rbp + shrdq $0x3b, %rsi, %rcx + movq %rcx, 0x10(%rsp) + shrdq $0x3b, %rbp, %rsi + movq 0x18(%rsp), %rax + movq %rsi, 0x18(%rsp) + xorq %r13, %rax + movq %rax, %rsi + sarq $0x3f, %rsi + andq %r12, %rsi + negq %rsi + mulq %r12 + addq %rax, %rbx + adcq %rdx, %rsi + movq 0x38(%rsp), %rax + xorq %r15, %rax + movq %rax, %rdx + sarq $0x3f, %rdx + andq %r14, %rdx + subq %rdx, %rsi + mulq %r14 + addq %rax, %rbx + adcq %rdx, %rsi + shrdq $0x3b, %rbx, %rdi + movq %rdi, 0x30(%rsp) + shrdq $0x3b, %rsi, %rbx + movq %rbx, 0x38(%rsp) + movq 0x80(%rsp), %rbx + movq 0x88(%rsp), %rbp + xorl %ecx, %ecx + movq 0x40(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x60(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + xorl %esi, %esi + movq 0x40(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, 0x40(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq 0x60(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, 0x60(%rsp) + xorl %ebx, %ebx + movq 0x48(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq 0x68(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rbx + xorl %ebp, %ebp + movq 0x48(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rcx, 0x48(%rsp) + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x68(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + movq %rsi, 0x68(%rsp) + xorl %ecx, %ecx + movq 0x50(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x70(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + xorl %esi, %esi + movq 0x50(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, 0x50(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq 0x70(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, 0x70(%rsp) + movq 0x58(%rsp), %rax + xorq %r9, %rax + movq %r9, %rbx + andq %r8, %rbx + negq %rbx + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq 0x78(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %rbx + mulq %r10 + addq %rax, %rcx + adcq %rbx, %rdx + movq %rdx, %rbx + shldq $0x1, %rcx, %rdx + sarq $0x3f, %rbx + addq %rbx, %rdx + movl $0x13, %eax + imulq %rdx + movq 0x40(%rsp), %r8 + addq %rax, %r8 + movq %r8, 0x40(%rsp) + movq 0x48(%rsp), %r8 + adcq %rdx, %r8 + movq %r8, 0x48(%rsp) + movq 0x50(%rsp), %r8 + adcq %rbx, %r8 + movq %r8, 0x50(%rsp) + adcq %rbx, %rcx + shlq $0x3f, %rax + addq %rax, %rcx + movq 0x58(%rsp), %rax + movq %rcx, 0x58(%rsp) + xorq %r13, %rax + movq %r13, %rcx + andq %r12, %rcx + negq %rcx + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rcx + movq 0x78(%rsp), %rax + xorq %r15, %rax + movq %r15, %rdx + andq %r14, %rdx + subq %rdx, %rcx + mulq %r14 + addq %rax, %rsi + adcq %rcx, %rdx + movq %rdx, %rcx + shldq $0x1, %rsi, %rdx + sarq $0x3f, %rcx + movl $0x13, %eax + addq %rcx, %rdx + imulq %rdx + movq 0x60(%rsp), %r8 + addq %rax, %r8 + movq %r8, 0x60(%rsp) + movq 0x68(%rsp), %r8 + adcq %rdx, %r8 + movq %r8, 0x68(%rsp) + movq 0x70(%rsp), %r8 + adcq %rcx, %r8 + movq %r8, 0x70(%rsp) + adcq %rcx, %rsi + shlq $0x3f, %rax + addq %rax, %rsi + movq %rsi, 0x78(%rsp) +Lcurve25519_x25519base_alt_midloop: + movq 0x98(%rsp), %rsi + movq (%rsp), %rdx + movq 0x20(%rsp), %rcx + movq %rdx, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq $0xfffffffffffffffe, %rax + xorl %ebp, %ebp + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %rdx + leaq (%rcx,%rax), %rdi + shlq $0x16, %rdx + shlq $0x16, %rdi + sarq $0x2b, %rdx + sarq $0x2b, %rdi + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %rbx + leaq (%rcx,%rax), %rcx + sarq $0x2a, %rbx + sarq $0x2a, %rcx + movq %rdx, 0xa0(%rsp) + movq %rbx, 0xa8(%rsp) + movq %rdi, 0xb0(%rsp) + movq %rcx, 0xb8(%rsp) + movq (%rsp), %r12 + imulq %r12, %rdi + imulq %rdx, %r12 + movq 0x20(%rsp), %r13 + imulq %r13, %rbx + imulq %rcx, %r13 + addq %rbx, %r12 + addq %rdi, %r13 + sarq $0x14, %r12 + sarq $0x14, %r13 + movq %r12, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + movq %r13, %rcx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq $0xfffffffffffffffe, %rax + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %r8 + leaq (%rcx,%rax), %r10 + shlq $0x16, %r8 + shlq $0x16, %r10 + sarq $0x2b, %r8 + sarq $0x2b, %r10 + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %r15 + leaq (%rcx,%rax), %r11 + sarq $0x2a, %r15 + sarq $0x2a, %r11 + movq %r13, %rbx + movq %r12, %rcx + imulq %r8, %r12 + imulq %r15, %rbx + addq %rbx, %r12 + imulq %r11, %r13 + imulq %r10, %rcx + addq %rcx, %r13 + sarq $0x14, %r12 + sarq $0x14, %r13 + movq %r12, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + movq %r13, %rcx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq 0xa0(%rsp), %rax + imulq %r8, %rax + movq 0xb0(%rsp), %rdx + imulq %r15, %rdx + imulq 0xa8(%rsp), %r8 + imulq 0xb8(%rsp), %r15 + addq %r8, %r15 + leaq (%rax,%rdx), %r9 + movq 0xa0(%rsp), %rax + imulq %r10, %rax + movq 0xb0(%rsp), %rdx + imulq %r11, %rdx + imulq 0xa8(%rsp), %r10 + imulq 0xb8(%rsp), %r11 + addq %r10, %r11 + leaq (%rax,%rdx), %r13 + movq $0xfffffffffffffffe, %rax + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %r8 + leaq (%rcx,%rax), %r12 + shlq $0x15, %r8 + shlq $0x15, %r12 + sarq $0x2b, %r8 + sarq $0x2b, %r12 + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %r10 + leaq (%rcx,%rax), %r14 + sarq $0x2b, %r10 + sarq $0x2b, %r14 + movq %r9, %rax + imulq %r8, %rax + movq %r13, %rdx + imulq %r10, %rdx + imulq %r15, %r8 + imulq %r11, %r10 + addq %r8, %r10 + leaq (%rax,%rdx), %r8 + movq %r9, %rax + imulq %r12, %rax + movq %r13, %rdx + imulq %r14, %rdx + imulq %r15, %r12 + imulq %r11, %r14 + addq %r12, %r14 + leaq (%rax,%rdx), %r12 + movq %rsi, 0x98(%rsp) + decq 0x90(%rsp) + jne Lcurve25519_x25519base_alt_inverseloop + movq (%rsp), %rax + movq 0x20(%rsp), %rcx + imulq %r8, %rax + imulq %r10, %rcx + addq %rcx, %rax + sarq $0x3f, %rax + movq %r8, %r9 + sarq $0x3f, %r9 + xorq %r9, %r8 + subq %r9, %r8 + xorq %rax, %r9 + movq %r10, %r11 + sarq $0x3f, %r11 + xorq %r11, %r10 + subq %r11, %r10 + xorq %rax, %r11 + movq %r12, %r13 + sarq $0x3f, %r13 + xorq %r13, %r12 + subq %r13, %r12 + xorq %rax, %r13 + movq %r14, %r15 + sarq $0x3f, %r15 + xorq %r15, %r14 + subq %r15, %r14 + xorq %rax, %r15 + movq %r8, %rax + andq %r9, %rax + movq %r10, %r12 + andq %r11, %r12 + addq %rax, %r12 + xorl %r13d, %r13d + movq 0x40(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x60(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movq 0x48(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r13 + adcq %rdx, %r14 + movq 0x68(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq 0x50(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x70(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x58(%rsp), %rax + xorq %r9, %rax + andq %r8, %r9 + negq %r9 + mulq %r8 + addq %rax, %r15 + adcq %rdx, %r9 + movq 0x78(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %r9 + mulq %r10 + addq %rax, %r15 + adcq %rdx, %r9 + movq %r9, %rax + shldq $0x1, %r15, %rax + sarq $0x3f, %r9 + movl $0x13, %ebx + leaq 0x1(%rax,%r9,1), %rax + imulq %rbx + xorl %ebp, %ebp + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r9, %r14 + adcq %r9, %r15 + shlq $0x3f, %rax + addq %rax, %r15 + cmovns %rbp, %rbx + subq %rbx, %r12 + sbbq %rbp, %r13 + sbbq %rbp, %r14 + sbbq %rbp, %r15 + btr $0x3f, %r15 + movq 0xc0(%rsp), %rdi + movq %r12, (%rdi) + movq %r13, 0x8(%rdi) + movq %r14, 0x10(%rdi) + movq %r15, 0x18(%rdi) + +// The final result is (X + T) / (X - T) +// This is the only operation in the whole computation that +// fully reduces modulo p_25519 since now we want the canonical +// answer as output. + + movq res, %rbp + mul_p25519(resx,t1,t0) + +// Restore stack and registers + + CFI_INC_RSP(NSPACE) + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +#if WINDOWS_ABI +S2N_BN_SIZE_DIRECTIVE(Lcurve25519_x25519base_alt_standard) +#else +S2N_BN_SIZE_DIRECTIVE(curve25519_x25519base_alt) +#endif + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif + +// **************************************************************************** +// The precomputed data (all read-only). +// **************************************************************************** + +#if defined(__ELF__) +.section .rodata +.type S2N_BN_SYMBOL(curve25519_x25519base_alt_constant), %object +.size S2N_BN_SYMBOL(curve25519_x25519base_alt_constant), 48576 +#elif defined(__APPLE__) +.const_data +#endif + +S2N_BN_SYMBOL(curve25519_x25519base_alt_constant): + +// 2^254 * G and (2^254 + 8) * G in extended-projective coordinates +// but with z = 1 assumed and hence left out, so they are (X,Y,T) only. + + .quad 0x251037f7cf4e861d + .quad 0x10ede0fb19fb128f + .quad 0x96c033b175f5e2c8 + .quad 0x055f070d6c15fb0d + + .quad 0x7c52af2c97473e69 + .quad 0x022f82391bad8378 + .quad 0x9991e1b02adb476f + .quad 0x511144a03a99b855 + + .quad 0x5fafc3b88ff2e4ae + .quad 0x855e4ff0de1230ff + .quad 0x72e302a348492870 + .quad 0x1253c19e53dbe1bc + + .quad 0x331d086e0d9abcaa + .quad 0x1e23c96d311a10c9 + .quad 0x96d0f95e58c13478 + .quad 0x2f72f7384fcfcc59 + + .quad 0x39a6cd1cfd7d87c9 + .quad 0x9867a0abd8ae153a + .quad 0xa49d2a5f35986745 + .quad 0x57012940cdfe82e1 + + .quad 0x5046a6532ec5544a + .quad 0x6d674004739ff6c9 + .quad 0x9bbaa44b234a70e3 + .quad 0x5e6d8901138cf386 + +// Precomputed table of multiples of generator for edwards25519 +// all in precomputed extended-projective (y-x,x+y,2*d*x*y) triples. + + // 2^4 * 1 * G + + .quad 0x7ec851ca553e2df3 + .quad 0xa71284cba64878b3 + .quad 0xe6b5e4193288d1e7 + .quad 0x4cf210ec5a9a8883 + .quad 0x322d04a52d9021f6 + .quad 0xb9c19f3375c6bf9c + .quad 0x587a3a4342d20b09 + .quad 0x143b1cf8aa64fe61 + .quad 0x9f867c7d968acaab + .quad 0x5f54258e27092729 + .quad 0xd0a7d34bea180975 + .quad 0x21b546a3374126e1 + + // 2^4 * 2 * G + + .quad 0xa94ff858a2888343 + .quad 0xce0ed4565313ed3c + .quad 0xf55c3dcfb5bf34fa + .quad 0x0a653ca5c9eab371 + .quad 0x490a7a45d185218f + .quad 0x9a15377846049335 + .quad 0x0060ea09cc31e1f6 + .quad 0x7e041577f86ee965 + .quad 0x66b2a496ce5b67f3 + .quad 0xff5492d8bd569796 + .quad 0x503cec294a592cd0 + .quad 0x566943650813acb2 + + // 2^4 * 3 * G + + .quad 0xb818db0c26620798 + .quad 0x5d5c31d9606e354a + .quad 0x0982fa4f00a8cdc7 + .quad 0x17e12bcd4653e2d4 + .quad 0x5672f9eb1dabb69d + .quad 0xba70b535afe853fc + .quad 0x47ac0f752796d66d + .quad 0x32a5351794117275 + .quad 0xd3a644a6df648437 + .quad 0x703b6559880fbfdd + .quad 0xcb852540ad3a1aa5 + .quad 0x0900b3f78e4c6468 + + // 2^4 * 4 * G + + .quad 0x0a851b9f679d651b + .quad 0xe108cb61033342f2 + .quad 0xd601f57fe88b30a3 + .quad 0x371f3acaed2dd714 + .quad 0xed280fbec816ad31 + .quad 0x52d9595bd8e6efe3 + .quad 0x0fe71772f6c623f5 + .quad 0x4314030b051e293c + .quad 0xd560005efbf0bcad + .quad 0x8eb70f2ed1870c5e + .quad 0x201f9033d084e6a0 + .quad 0x4c3a5ae1ce7b6670 + + // 2^4 * 5 * G + + .quad 0x4138a434dcb8fa95 + .quad 0x870cf67d6c96840b + .quad 0xde388574297be82c + .quad 0x7c814db27262a55a + .quad 0xbaf875e4c93da0dd + .quad 0xb93282a771b9294d + .quad 0x80d63fb7f4c6c460 + .quad 0x6de9c73dea66c181 + .quad 0x478904d5a04df8f2 + .quad 0xfafbae4ab10142d3 + .quad 0xf6c8ac63555d0998 + .quad 0x5aac4a412f90b104 + + // 2^4 * 6 * G + + .quad 0xc64f326b3ac92908 + .quad 0x5551b282e663e1e0 + .quad 0x476b35f54a1a4b83 + .quad 0x1b9da3fe189f68c2 + .quad 0x603a0d0abd7f5134 + .quad 0x8089c932e1d3ae46 + .quad 0xdf2591398798bd63 + .quad 0x1c145cd274ba0235 + .quad 0x32e8386475f3d743 + .quad 0x365b8baf6ae5d9ef + .quad 0x825238b6385b681e + .quad 0x234929c1167d65e1 + + // 2^4 * 7 * G + + .quad 0x984decaba077ade8 + .quad 0x383f77ad19eb389d + .quad 0xc7ec6b7e2954d794 + .quad 0x59c77b3aeb7c3a7a + .quad 0x48145cc21d099fcf + .quad 0x4535c192cc28d7e5 + .quad 0x80e7c1e548247e01 + .quad 0x4a5f28743b2973ee + .quad 0xd3add725225ccf62 + .quad 0x911a3381b2152c5d + .quad 0xd8b39fad5b08f87d + .quad 0x6f05606b4799fe3b + + // 2^4 * 8 * G + + .quad 0x9ffe9e92177ba962 + .quad 0x98aee71d0de5cae1 + .quad 0x3ff4ae942d831044 + .quad 0x714de12e58533ac8 + .quad 0x5b433149f91b6483 + .quad 0xadb5dc655a2cbf62 + .quad 0x87fa8412632827b3 + .quad 0x60895e91ab49f8d8 + .quad 0xe9ecf2ed0cf86c18 + .quad 0xb46d06120735dfd4 + .quad 0xbc9da09804b96be7 + .quad 0x73e2e62fd96dc26b + + // 2^8 * 1 * G + + .quad 0xed5b635449aa515e + .quad 0xa865c49f0bc6823a + .quad 0x850c1fe95b42d1c4 + .quad 0x30d76d6f03d315b9 + .quad 0x2eccdd0e632f9c1d + .quad 0x51d0b69676893115 + .quad 0x52dfb76ba8637a58 + .quad 0x6dd37d49a00eef39 + .quad 0x6c4444172106e4c7 + .quad 0xfb53d680928d7f69 + .quad 0xb4739ea4694d3f26 + .quad 0x10c697112e864bb0 + + // 2^8 * 2 * G + + .quad 0x6493c4277dbe5fde + .quad 0x265d4fad19ad7ea2 + .quad 0x0e00dfc846304590 + .quad 0x25e61cabed66fe09 + .quad 0x0ca62aa08358c805 + .quad 0x6a3d4ae37a204247 + .quad 0x7464d3a63b11eddc + .quad 0x03bf9baf550806ef + .quad 0x3f13e128cc586604 + .quad 0x6f5873ecb459747e + .quad 0xa0b63dedcc1268f5 + .quad 0x566d78634586e22c + + // 2^8 * 3 * G + + .quad 0x1637a49f9cc10834 + .quad 0xbc8e56d5a89bc451 + .quad 0x1cb5ec0f7f7fd2db + .quad 0x33975bca5ecc35d9 + .quad 0xa1054285c65a2fd0 + .quad 0x6c64112af31667c3 + .quad 0x680ae240731aee58 + .quad 0x14fba5f34793b22a + .quad 0x3cd746166985f7d4 + .quad 0x593e5e84c9c80057 + .quad 0x2fc3f2b67b61131e + .quad 0x14829cea83fc526c + + // 2^8 * 4 * G + + .quad 0xff437b8497dd95c2 + .quad 0x6c744e30aa4eb5a7 + .quad 0x9e0c5d613c85e88b + .quad 0x2fd9c71e5f758173 + .quad 0x21e70b2f4e71ecb8 + .quad 0xe656ddb940a477e3 + .quad 0xbf6556cece1d4f80 + .quad 0x05fc3bc4535d7b7e + .quad 0x24b8b3ae52afdedd + .quad 0x3495638ced3b30cf + .quad 0x33a4bc83a9be8195 + .quad 0x373767475c651f04 + + // 2^8 * 5 * G + + .quad 0x2fba99fd40d1add9 + .quad 0xb307166f96f4d027 + .quad 0x4363f05215f03bae + .quad 0x1fbea56c3b18f999 + .quad 0x634095cb14246590 + .quad 0xef12144016c15535 + .quad 0x9e38140c8910bc60 + .quad 0x6bf5905730907c8c + .quad 0x0fa778f1e1415b8a + .quad 0x06409ff7bac3a77e + .quad 0x6f52d7b89aa29a50 + .quad 0x02521cf67a635a56 + + // 2^8 * 6 * G + + .quad 0x513fee0b0a9d5294 + .quad 0x8f98e75c0fdf5a66 + .quad 0xd4618688bfe107ce + .quad 0x3fa00a7e71382ced + .quad 0xb1146720772f5ee4 + .quad 0xe8f894b196079ace + .quad 0x4af8224d00ac824a + .quad 0x001753d9f7cd6cc4 + .quad 0x3c69232d963ddb34 + .quad 0x1dde87dab4973858 + .quad 0xaad7d1f9a091f285 + .quad 0x12b5fe2fa048edb6 + + // 2^8 * 7 * G + + .quad 0x71f0fbc496fce34d + .quad 0x73b9826badf35bed + .quad 0xd2047261ff28c561 + .quad 0x749b76f96fb1206f + .quad 0xdf2b7c26ad6f1e92 + .quad 0x4b66d323504b8913 + .quad 0x8c409dc0751c8bc3 + .quad 0x6f7e93c20796c7b8 + .quad 0x1f5af604aea6ae05 + .quad 0xc12351f1bee49c99 + .quad 0x61a808b5eeff6b66 + .quad 0x0fcec10f01e02151 + + // 2^8 * 8 * G + + .quad 0x644d58a649fe1e44 + .quad 0x21fcaea231ad777e + .quad 0x02441c5a887fd0d2 + .quad 0x4901aa7183c511f3 + .quad 0x3df2d29dc4244e45 + .quad 0x2b020e7493d8de0a + .quad 0x6cc8067e820c214d + .quad 0x413779166feab90a + .quad 0x08b1b7548c1af8f0 + .quad 0xce0f7a7c246299b4 + .quad 0xf760b0f91e06d939 + .quad 0x41bb887b726d1213 + + // 2^12 * 1 * G + + .quad 0x9267806c567c49d8 + .quad 0x066d04ccca791e6a + .quad 0xa69f5645e3cc394b + .quad 0x5c95b686a0788cd2 + .quad 0x97d980e0aa39f7d2 + .quad 0x35d0384252c6b51c + .quad 0x7d43f49307cd55aa + .quad 0x56bd36cfb78ac362 + .quad 0x2ac519c10d14a954 + .quad 0xeaf474b494b5fa90 + .quad 0xe6af8382a9f87a5a + .quad 0x0dea6db1879be094 + + // 2^12 * 2 * G + + .quad 0xaa66bf547344e5ab + .quad 0xda1258888f1b4309 + .quad 0x5e87d2b3fd564b2f + .quad 0x5b2c78885483b1dd + .quad 0x15baeb74d6a8797a + .quad 0x7ef55cf1fac41732 + .quad 0x29001f5a3c8b05c5 + .quad 0x0ad7cc8752eaccfb + .quad 0x52151362793408cf + .quad 0xeb0f170319963d94 + .quad 0xa833b2fa883d9466 + .quad 0x093a7fa775003c78 + + // 2^12 * 3 * G + + .quad 0xe5107de63a16d7be + .quad 0xa377ffdc9af332cf + .quad 0x70d5bf18440b677f + .quad 0x6a252b19a4a31403 + .quad 0xb8e9604460a91286 + .quad 0x7f3fd8047778d3de + .quad 0x67d01e31bf8a5e2d + .quad 0x7b038a06c27b653e + .quad 0x9ed919d5d36990f3 + .quad 0x5213aebbdb4eb9f2 + .quad 0xc708ea054cb99135 + .quad 0x58ded57f72260e56 + + // 2^12 * 4 * G + + .quad 0x78e79dade9413d77 + .quad 0xf257f9d59729e67d + .quad 0x59db910ee37aa7e6 + .quad 0x6aa11b5bbb9e039c + .quad 0xda6d53265b0fd48b + .quad 0x8960823193bfa988 + .quad 0xd78ac93261d57e28 + .quad 0x79f2942d3a5c8143 + .quad 0x97da2f25b6c88de9 + .quad 0x251ba7eaacf20169 + .quad 0x09b44f87ef4eb4e4 + .quad 0x7d90ab1bbc6a7da5 + + // 2^12 * 5 * G + + .quad 0x9acca683a7016bfe + .quad 0x90505f4df2c50b6d + .quad 0x6b610d5fcce435aa + .quad 0x19a10d446198ff96 + .quad 0x1a07a3f496b3c397 + .quad 0x11ceaa188f4e2532 + .quad 0x7d9498d5a7751bf0 + .quad 0x19ed161f508dd8a0 + .quad 0x560a2cd687dce6ca + .quad 0x7f3568c48664cf4d + .quad 0x8741e95222803a38 + .quad 0x483bdab1595653fc + + // 2^12 * 6 * G + + .quad 0xfa780f148734fa49 + .quad 0x106f0b70360534e0 + .quad 0x2210776fe3e307bd + .quad 0x3286c109dde6a0fe + .quad 0xd6cf4d0ab4da80f6 + .quad 0x82483e45f8307fe0 + .quad 0x05005269ae6f9da4 + .quad 0x1c7052909cf7877a + .quad 0x32ee7de2874e98d4 + .quad 0x14c362e9b97e0c60 + .quad 0x5781dcde6a60a38a + .quad 0x217dd5eaaa7aa840 + + // 2^12 * 7 * G + + .quad 0x9db7c4d0248e1eb0 + .quad 0xe07697e14d74bf52 + .quad 0x1e6a9b173c562354 + .quad 0x7fa7c21f795a4965 + .quad 0x8bdf1fb9be8c0ec8 + .quad 0x00bae7f8e30a0282 + .quad 0x4963991dad6c4f6c + .quad 0x07058a6e5df6f60a + .quad 0xe9eb02c4db31f67f + .quad 0xed25fd8910bcfb2b + .quad 0x46c8131f5c5cddb4 + .quad 0x33b21c13a0cb9bce + + // 2^12 * 8 * G + + .quad 0x360692f8087d8e31 + .quad 0xf4dcc637d27163f7 + .quad 0x25a4e62065ea5963 + .quad 0x659bf72e5ac160d9 + .quad 0x9aafb9b05ee38c5b + .quad 0xbf9d2d4e071a13c7 + .quad 0x8eee6e6de933290a + .quad 0x1c3bab17ae109717 + .quad 0x1c9ab216c7cab7b0 + .quad 0x7d65d37407bbc3cc + .quad 0x52744750504a58d5 + .quad 0x09f2606b131a2990 + + // 2^16 * 1 * G + + .quad 0x40e87d44744346be + .quad 0x1d48dad415b52b25 + .quad 0x7c3a8a18a13b603e + .quad 0x4eb728c12fcdbdf7 + .quad 0x7e234c597c6691ae + .quad 0x64889d3d0a85b4c8 + .quad 0xdae2c90c354afae7 + .quad 0x0a871e070c6a9e1d + .quad 0x3301b5994bbc8989 + .quad 0x736bae3a5bdd4260 + .quad 0x0d61ade219d59e3c + .quad 0x3ee7300f2685d464 + + // 2^16 * 2 * G + + .quad 0xf5d255e49e7dd6b7 + .quad 0x8016115c610b1eac + .quad 0x3c99975d92e187ca + .quad 0x13815762979125c2 + .quad 0x43fa7947841e7518 + .quad 0xe5c6fa59639c46d7 + .quad 0xa1065e1de3052b74 + .quad 0x7d47c6a2cfb89030 + .quad 0x3fdad0148ef0d6e0 + .quad 0x9d3e749a91546f3c + .quad 0x71ec621026bb8157 + .quad 0x148cf58d34c9ec80 + + // 2^16 * 3 * G + + .quad 0x46a492f67934f027 + .quad 0x469984bef6840aa9 + .quad 0x5ca1bc2a89611854 + .quad 0x3ff2fa1ebd5dbbd4 + .quad 0xe2572f7d9ae4756d + .quad 0x56c345bb88f3487f + .quad 0x9fd10b6d6960a88d + .quad 0x278febad4eaea1b9 + .quad 0xb1aa681f8c933966 + .quad 0x8c21949c20290c98 + .quad 0x39115291219d3c52 + .quad 0x4104dd02fe9c677b + + // 2^16 * 4 * G + + .quad 0x72b2bf5e1124422a + .quad 0xa1fa0c3398a33ab5 + .quad 0x94cb6101fa52b666 + .quad 0x2c863b00afaf53d5 + .quad 0x81214e06db096ab8 + .quad 0x21a8b6c90ce44f35 + .quad 0x6524c12a409e2af5 + .quad 0x0165b5a48efca481 + .quad 0xf190a474a0846a76 + .quad 0x12eff984cd2f7cc0 + .quad 0x695e290658aa2b8f + .quad 0x591b67d9bffec8b8 + + // 2^16 * 5 * G + + .quad 0x312f0d1c80b49bfa + .quad 0x5979515eabf3ec8a + .quad 0x727033c09ef01c88 + .quad 0x3de02ec7ca8f7bcb + .quad 0x99b9b3719f18b55d + .quad 0xe465e5faa18c641e + .quad 0x61081136c29f05ed + .quad 0x489b4f867030128b + .quad 0xd232102d3aeb92ef + .quad 0xe16253b46116a861 + .quad 0x3d7eabe7190baa24 + .quad 0x49f5fbba496cbebf + + // 2^16 * 6 * G + + .quad 0x30949a108a5bcfd4 + .quad 0xdc40dd70bc6473eb + .quad 0x92c294c1307c0d1c + .quad 0x5604a86dcbfa6e74 + .quad 0x155d628c1e9c572e + .quad 0x8a4d86acc5884741 + .quad 0x91a352f6515763eb + .quad 0x06a1a6c28867515b + .quad 0x7288d1d47c1764b6 + .quad 0x72541140e0418b51 + .quad 0x9f031a6018acf6d1 + .quad 0x20989e89fe2742c6 + + // 2^16 * 7 * G + + .quad 0x499777fd3a2dcc7f + .quad 0x32857c2ca54fd892 + .quad 0xa279d864d207e3a0 + .quad 0x0403ed1d0ca67e29 + .quad 0x1674278b85eaec2e + .quad 0x5621dc077acb2bdf + .quad 0x640a4c1661cbf45a + .quad 0x730b9950f70595d3 + .quad 0xc94b2d35874ec552 + .quad 0xc5e6c8cf98246f8d + .quad 0xf7cb46fa16c035ce + .quad 0x5bd7454308303dcc + + // 2^16 * 8 * G + + .quad 0x7f9ad19528b24cc2 + .quad 0x7f6b54656335c181 + .quad 0x66b8b66e4fc07236 + .quad 0x133a78007380ad83 + .quad 0x85c4932115e7792a + .quad 0xc64c89a2bdcdddc9 + .quad 0x9d1e3da8ada3d762 + .quad 0x5bb7db123067f82c + .quad 0x0961f467c6ca62be + .quad 0x04ec21d6211952ee + .quad 0x182360779bd54770 + .quad 0x740dca6d58f0e0d2 + + // 2^20 * 1 * G + + .quad 0x50b70bf5d3f0af0b + .quad 0x4feaf48ae32e71f7 + .quad 0x60e84ed3a55bbd34 + .quad 0x00ed489b3f50d1ed + .quad 0x3906c72aed261ae5 + .quad 0x9ab68fd988e100f7 + .quad 0xf5e9059af3360197 + .quad 0x0e53dc78bf2b6d47 + .quad 0xb90829bf7971877a + .quad 0x5e4444636d17e631 + .quad 0x4d05c52e18276893 + .quad 0x27632d9a5a4a4af5 + + // 2^20 * 2 * G + + .quad 0xd11ff05154b260ce + .quad 0xd86dc38e72f95270 + .quad 0x601fcd0d267cc138 + .quad 0x2b67916429e90ccd + .quad 0xa98285d187eaffdb + .quad 0xa5b4fbbbd8d0a864 + .quad 0xb658f27f022663f7 + .quad 0x3bbc2b22d99ce282 + .quad 0xb917c952583c0a58 + .quad 0x653ff9b80fe4c6f3 + .quad 0x9b0da7d7bcdf3c0c + .quad 0x43a0eeb6ab54d60e + + // 2^20 * 3 * G + + .quad 0x396966a46d4a5487 + .quad 0xf811a18aac2bb3ba + .quad 0x66e4685b5628b26b + .quad 0x70a477029d929b92 + .quad 0x3ac6322357875fe8 + .quad 0xd9d4f4ecf5fbcb8f + .quad 0x8dee8493382bb620 + .quad 0x50c5eaa14c799fdc + .quad 0xdd0edc8bd6f2fb3c + .quad 0x54c63aa79cc7b7a0 + .quad 0xae0b032b2c8d9f1a + .quad 0x6f9ce107602967fb + + // 2^20 * 4 * G + + .quad 0xad1054b1cde1c22a + .quad 0xc4a8e90248eb32df + .quad 0x5f3e7b33accdc0ea + .quad 0x72364713fc79963e + .quad 0x139693063520e0b5 + .quad 0x437fcf7c88ea03fe + .quad 0xf7d4c40bd3c959bc + .quad 0x699154d1f893ded9 + .quad 0x315d5c75b4b27526 + .quad 0xcccb842d0236daa5 + .quad 0x22f0c8a3345fee8e + .quad 0x73975a617d39dbed + + // 2^20 * 5 * G + + .quad 0xe4024df96375da10 + .quad 0x78d3251a1830c870 + .quad 0x902b1948658cd91c + .quad 0x7e18b10b29b7438a + .quad 0x6f37f392f4433e46 + .quad 0x0e19b9a11f566b18 + .quad 0x220fb78a1fd1d662 + .quad 0x362a4258a381c94d + .quad 0x9071d9132b6beb2f + .quad 0x0f26e9ad28418247 + .quad 0xeab91ec9bdec925d + .quad 0x4be65bc8f48af2de + + // 2^20 * 6 * G + + .quad 0x78487feba36e7028 + .quad 0x5f3f13001dd8ce34 + .quad 0x934fb12d4b30c489 + .quad 0x056c244d397f0a2b + .quad 0x1d50fba257c26234 + .quad 0x7bd4823adeb0678b + .quad 0xc2b0dc6ea6538af5 + .quad 0x5665eec6351da73e + .quad 0xdb3ee00943bfb210 + .quad 0x4972018720800ac2 + .quad 0x26ab5d6173bd8667 + .quad 0x20b209c2ab204938 + + // 2^20 * 7 * G + + .quad 0x549e342ac07fb34b + .quad 0x02d8220821373d93 + .quad 0xbc262d70acd1f567 + .quad 0x7a92c9fdfbcac784 + .quad 0x1fcca94516bd3289 + .quad 0x448d65aa41420428 + .quad 0x59c3b7b216a55d62 + .quad 0x49992cc64e612cd8 + .quad 0x65bd1bea70f801de + .quad 0x1befb7c0fe49e28a + .quad 0xa86306cdb1b2ae4a + .quad 0x3b7ac0cd265c2a09 + + // 2^20 * 8 * G + + .quad 0x822bee438c01bcec + .quad 0x530cb525c0fbc73b + .quad 0x48519034c1953fe9 + .quad 0x265cc261e09a0f5b + .quad 0xf0d54e4f22ed39a7 + .quad 0xa2aae91e5608150a + .quad 0xf421b2e9eddae875 + .quad 0x31bc531d6b7de992 + .quad 0xdf3d134da980f971 + .quad 0x7a4fb8d1221a22a7 + .quad 0x3df7d42035aad6d8 + .quad 0x2a14edcc6a1a125e + + // 2^24 * 1 * G + + .quad 0xdf48ee0752cfce4e + .quad 0xc3fffaf306ec08b7 + .quad 0x05710b2ab95459c4 + .quad 0x161d25fa963ea38d + .quad 0x231a8c570478433c + .quad 0xb7b5270ec281439d + .quad 0xdbaa99eae3d9079f + .quad 0x2c03f5256c2b03d9 + .quad 0x790f18757b53a47d + .quad 0x307b0130cf0c5879 + .quad 0x31903d77257ef7f9 + .quad 0x699468bdbd96bbaf + + // 2^24 * 2 * G + + .quad 0xbd1f2f46f4dafecf + .quad 0x7cef0114a47fd6f7 + .quad 0xd31ffdda4a47b37f + .quad 0x525219a473905785 + .quad 0xd8dd3de66aa91948 + .quad 0x485064c22fc0d2cc + .quad 0x9b48246634fdea2f + .quad 0x293e1c4e6c4a2e3a + .quad 0x376e134b925112e1 + .quad 0x703778b5dca15da0 + .quad 0xb04589af461c3111 + .quad 0x5b605c447f032823 + + // 2^24 * 3 * G + + .quad 0xb965805920c47c89 + .quad 0xe7f0100c923b8fcc + .quad 0x0001256502e2ef77 + .quad 0x24a76dcea8aeb3ee + .quad 0x3be9fec6f0e7f04c + .quad 0x866a579e75e34962 + .quad 0x5542ef161e1de61a + .quad 0x2f12fef4cc5abdd5 + .quad 0x0a4522b2dfc0c740 + .quad 0x10d06e7f40c9a407 + .quad 0xc6cf144178cff668 + .quad 0x5e607b2518a43790 + + // 2^24 * 4 * G + + .quad 0x58b31d8f6cdf1818 + .quad 0x35cfa74fc36258a2 + .quad 0xe1b3ff4f66e61d6e + .quad 0x5067acab6ccdd5f7 + .quad 0xa02c431ca596cf14 + .quad 0xe3c42d40aed3e400 + .quad 0xd24526802e0f26db + .quad 0x201f33139e457068 + .quad 0xfd527f6b08039d51 + .quad 0x18b14964017c0006 + .quad 0xd5220eb02e25a4a8 + .quad 0x397cba8862460375 + + // 2^24 * 5 * G + + .quad 0x30c13093f05959b2 + .quad 0xe23aa18de9a97976 + .quad 0x222fd491721d5e26 + .quad 0x2339d320766e6c3a + .quad 0x7815c3fbc81379e7 + .quad 0xa6619420dde12af1 + .quad 0xffa9c0f885a8fdd5 + .quad 0x771b4022c1e1c252 + .quad 0xd87dd986513a2fa7 + .quad 0xf5ac9b71f9d4cf08 + .quad 0xd06bc31b1ea283b3 + .quad 0x331a189219971a76 + + // 2^24 * 6 * G + + .quad 0xf5166f45fb4f80c6 + .quad 0x9c36c7de61c775cf + .quad 0xe3d4e81b9041d91c + .quad 0x31167c6b83bdfe21 + .quad 0x26512f3a9d7572af + .quad 0x5bcbe28868074a9e + .quad 0x84edc1c11180f7c4 + .quad 0x1ac9619ff649a67b + .quad 0xf22b3842524b1068 + .quad 0x5068343bee9ce987 + .quad 0xfc9d71844a6250c8 + .quad 0x612436341f08b111 + + // 2^24 * 7 * G + + .quad 0xd99d41db874e898d + .quad 0x09fea5f16c07dc20 + .quad 0x793d2c67d00f9bbc + .quad 0x46ebe2309e5eff40 + .quad 0x8b6349e31a2d2638 + .quad 0x9ddfb7009bd3fd35 + .quad 0x7f8bf1b8a3a06ba4 + .quad 0x1522aa3178d90445 + .quad 0x2c382f5369614938 + .quad 0xdafe409ab72d6d10 + .quad 0xe8c83391b646f227 + .quad 0x45fe70f50524306c + + // 2^24 * 8 * G + + .quad 0xda4875a6960c0b8c + .quad 0x5b68d076ef0e2f20 + .quad 0x07fb51cf3d0b8fd4 + .quad 0x428d1623a0e392d4 + .quad 0x62f24920c8951491 + .quad 0x05f007c83f630ca2 + .quad 0x6fbb45d2f5c9d4b8 + .quad 0x16619f6db57a2245 + .quad 0x084f4a4401a308fd + .quad 0xa82219c376a5caac + .quad 0xdeb8de4643d1bc7d + .quad 0x1d81592d60bd38c6 + + // 2^28 * 1 * G + + .quad 0xd833d7beec2a4c38 + .quad 0x2c9162830acc20ed + .quad 0xe93a47aa92df7581 + .quad 0x702d67a3333c4a81 + .quad 0x3a4a369a2f89c8a1 + .quad 0x63137a1d7c8de80d + .quad 0xbcac008a78eda015 + .quad 0x2cb8b3a5b483b03f + .quad 0x36e417cbcb1b90a1 + .quad 0x33b3ddaa7f11794e + .quad 0x3f510808885bc607 + .quad 0x24141dc0e6a8020d + + // 2^28 * 2 * G + + .quad 0x59f73c773fefee9d + .quad 0xb3f1ef89c1cf989d + .quad 0xe35dfb42e02e545f + .quad 0x5766120b47a1b47c + .quad 0x91925dccbd83157d + .quad 0x3ca1205322cc8094 + .quad 0x28e57f183f90d6e4 + .quad 0x1a4714cede2e767b + .quad 0xdb20ba0fb8b6b7ff + .quad 0xb732c3b677511fa1 + .quad 0xa92b51c099f02d89 + .quad 0x4f3875ad489ca5f1 + + // 2^28 * 3 * G + + .quad 0xc7fc762f4932ab22 + .quad 0x7ac0edf72f4c3c1b + .quad 0x5f6b55aa9aa895e8 + .quad 0x3680274dad0a0081 + .quad 0x79ed13f6ee73eec0 + .quad 0xa5c6526d69110bb1 + .quad 0xe48928c38603860c + .quad 0x722a1446fd7059f5 + .quad 0xd0959fe9a8cf8819 + .quad 0xd0a995508475a99c + .quad 0x6eac173320b09cc5 + .quad 0x628ecf04331b1095 + + // 2^28 * 4 * G + + .quad 0x98bcb118a9d0ddbc + .quad 0xee449e3408b4802b + .quad 0x87089226b8a6b104 + .quad 0x685f349a45c7915d + .quad 0x9b41acf85c74ccf1 + .quad 0xb673318108265251 + .quad 0x99c92aed11adb147 + .quad 0x7a47d70d34ecb40f + .quad 0x60a0c4cbcc43a4f5 + .quad 0x775c66ca3677bea9 + .quad 0xa17aa1752ff8f5ed + .quad 0x11ded9020e01fdc0 + + // 2^28 * 5 * G + + .quad 0x890e7809caefe704 + .quad 0x8728296de30e8c6c + .quad 0x4c5cd2a392aeb1c9 + .quad 0x194263d15771531f + .quad 0x471f95b03bea93b7 + .quad 0x0552d7d43313abd3 + .quad 0xbd9370e2e17e3f7b + .quad 0x7b120f1db20e5bec + .quad 0x17d2fb3d86502d7a + .quad 0xb564d84450a69352 + .quad 0x7da962c8a60ed75d + .quad 0x00d0f85b318736aa + + // 2^28 * 6 * G + + .quad 0x978b142e777c84fd + .quad 0xf402644705a8c062 + .quad 0xa67ad51be7e612c7 + .quad 0x2f7b459698dd6a33 + .quad 0xa6753c1efd7621c1 + .quad 0x69c0b4a7445671f5 + .quad 0x971f527405b23c11 + .quad 0x387bc74851a8c7cd + .quad 0x81894b4d4a52a9a8 + .quad 0xadd93e12f6b8832f + .quad 0x184d8548b61bd638 + .quad 0x3f1c62dbd6c9f6cd + + // 2^28 * 7 * G + + .quad 0x2e8f1f0091910c1f + .quad 0xa4df4fe0bff2e12c + .quad 0x60c6560aee927438 + .quad 0x6338283facefc8fa + .quad 0x3fad3e40148f693d + .quad 0x052656e194eb9a72 + .quad 0x2f4dcbfd184f4e2f + .quad 0x406f8db1c482e18b + .quad 0x9e630d2c7f191ee4 + .quad 0x4fbf8301bc3ff670 + .quad 0x787d8e4e7afb73c4 + .quad 0x50d83d5be8f58fa5 + + // 2^28 * 8 * G + + .quad 0x85683916c11a1897 + .quad 0x2d69a4efe506d008 + .quad 0x39af1378f664bd01 + .quad 0x65942131361517c6 + .quad 0xc0accf90b4d3b66d + .quad 0xa7059de561732e60 + .quad 0x033d1f7870c6b0ba + .quad 0x584161cd26d946e4 + .quad 0xbbf2b1a072d27ca2 + .quad 0xbf393c59fbdec704 + .quad 0xe98dbbcee262b81e + .quad 0x02eebd0b3029b589 + + // 2^32 * 1 * G + + .quad 0x61368756a60dac5f + .quad 0x17e02f6aebabdc57 + .quad 0x7f193f2d4cce0f7d + .quad 0x20234a7789ecdcf0 + .quad 0x8765b69f7b85c5e8 + .quad 0x6ff0678bd168bab2 + .quad 0x3a70e77c1d330f9b + .quad 0x3a5f6d51b0af8e7c + .quad 0x76d20db67178b252 + .quad 0x071c34f9d51ed160 + .quad 0xf62a4a20b3e41170 + .quad 0x7cd682353cffe366 + + // 2^32 * 2 * G + + .quad 0x0be1a45bd887fab6 + .quad 0x2a846a32ba403b6e + .quad 0xd9921012e96e6000 + .quad 0x2838c8863bdc0943 + .quad 0xa665cd6068acf4f3 + .quad 0x42d92d183cd7e3d3 + .quad 0x5759389d336025d9 + .quad 0x3ef0253b2b2cd8ff + .quad 0xd16bb0cf4a465030 + .quad 0xfa496b4115c577ab + .quad 0x82cfae8af4ab419d + .quad 0x21dcb8a606a82812 + + // 2^32 * 3 * G + + .quad 0x5c6004468c9d9fc8 + .quad 0x2540096ed42aa3cb + .quad 0x125b4d4c12ee2f9c + .quad 0x0bc3d08194a31dab + .quad 0x9a8d00fabe7731ba + .quad 0x8203607e629e1889 + .quad 0xb2cc023743f3d97f + .quad 0x5d840dbf6c6f678b + .quad 0x706e380d309fe18b + .quad 0x6eb02da6b9e165c7 + .quad 0x57bbba997dae20ab + .quad 0x3a4276232ac196dd + + // 2^32 * 4 * G + + .quad 0x4b42432c8a7084fa + .quad 0x898a19e3dfb9e545 + .quad 0xbe9f00219c58e45d + .quad 0x1ff177cea16debd1 + .quad 0x3bf8c172db447ecb + .quad 0x5fcfc41fc6282dbd + .quad 0x80acffc075aa15fe + .quad 0x0770c9e824e1a9f9 + .quad 0xcf61d99a45b5b5fd + .quad 0x860984e91b3a7924 + .quad 0xe7300919303e3e89 + .quad 0x39f264fd41500b1e + + // 2^32 * 5 * G + + .quad 0xa7ad3417dbe7e29c + .quad 0xbd94376a2b9c139c + .quad 0xa0e91b8e93597ba9 + .quad 0x1712d73468889840 + .quad 0xd19b4aabfe097be1 + .quad 0xa46dfce1dfe01929 + .quad 0xc3c908942ca6f1ff + .quad 0x65c621272c35f14e + .quad 0xe72b89f8ce3193dd + .quad 0x4d103356a125c0bb + .quad 0x0419a93d2e1cfe83 + .quad 0x22f9800ab19ce272 + + // 2^32 * 6 * G + + .quad 0x605a368a3e9ef8cb + .quad 0xe3e9c022a5504715 + .quad 0x553d48b05f24248f + .quad 0x13f416cd647626e5 + .quad 0x42029fdd9a6efdac + .quad 0xb912cebe34a54941 + .quad 0x640f64b987bdf37b + .quad 0x4171a4d38598cab4 + .quad 0xfa2758aa99c94c8c + .quad 0x23006f6fb000b807 + .quad 0xfbd291ddadda5392 + .quad 0x508214fa574bd1ab + + // 2^32 * 7 * G + + .quad 0xc20269153ed6fe4b + .quad 0xa65a6739511d77c4 + .quad 0xcbde26462c14af94 + .quad 0x22f960ec6faba74b + .quad 0x461a15bb53d003d6 + .quad 0xb2102888bcf3c965 + .quad 0x27c576756c683a5a + .quad 0x3a7758a4c86cb447 + .quad 0x548111f693ae5076 + .quad 0x1dae21df1dfd54a6 + .quad 0x12248c90f3115e65 + .quad 0x5d9fd15f8de7f494 + + // 2^32 * 8 * G + + .quad 0x031408d36d63727f + .quad 0x6a379aefd7c7b533 + .quad 0xa9e18fc5ccaee24b + .quad 0x332f35914f8fbed3 + .quad 0x3f244d2aeed7521e + .quad 0x8e3a9028432e9615 + .quad 0xe164ba772e9c16d4 + .quad 0x3bc187fa47eb98d8 + .quad 0x6d470115ea86c20c + .quad 0x998ab7cb6c46d125 + .quad 0xd77832b53a660188 + .quad 0x450d81ce906fba03 + + // 2^36 * 1 * G + + .quad 0xf8ae4d2ad8453902 + .quad 0x7018058ee8db2d1d + .quad 0xaab3995fc7d2c11e + .quad 0x53b16d2324ccca79 + .quad 0x23264d66b2cae0b5 + .quad 0x7dbaed33ebca6576 + .quad 0x030ebed6f0d24ac8 + .quad 0x2a887f78f7635510 + .quad 0x2a23b9e75c012d4f + .quad 0x0c974651cae1f2ea + .quad 0x2fb63273675d70ca + .quad 0x0ba7250b864403f5 + + // 2^36 * 2 * G + + .quad 0xbb0d18fd029c6421 + .quad 0xbc2d142189298f02 + .quad 0x8347f8e68b250e96 + .quad 0x7b9f2fe8032d71c9 + .quad 0xdd63589386f86d9c + .quad 0x61699176e13a85a4 + .quad 0x2e5111954eaa7d57 + .quad 0x32c21b57fb60bdfb + .quad 0xd87823cd319e0780 + .quad 0xefc4cfc1897775c5 + .quad 0x4854fb129a0ab3f7 + .quad 0x12c49d417238c371 + + // 2^36 * 3 * G + + .quad 0x0950b533ffe83769 + .quad 0x21861c1d8e1d6bd1 + .quad 0xf022d8381302e510 + .quad 0x2509200c6391cab4 + .quad 0x09b3a01783799542 + .quad 0x626dd08faad5ee3f + .quad 0xba00bceeeb70149f + .quad 0x1421b246a0a444c9 + .quad 0x4aa43a8e8c24a7c7 + .quad 0x04c1f540d8f05ef5 + .quad 0xadba5e0c0b3eb9dc + .quad 0x2ab5504448a49ce3 + + // 2^36 * 4 * G + + .quad 0x2ed227266f0f5dec + .quad 0x9824ee415ed50824 + .quad 0x807bec7c9468d415 + .quad 0x7093bae1b521e23f + .quad 0xdc07ac631c5d3afa + .quad 0x58615171f9df8c6c + .quad 0x72a079d89d73e2b0 + .quad 0x7301f4ceb4eae15d + .quad 0x6409e759d6722c41 + .quad 0xa674e1cf72bf729b + .quad 0xbc0a24eb3c21e569 + .quad 0x390167d24ebacb23 + + // 2^36 * 5 * G + + .quad 0x27f58e3bba353f1c + .quad 0x4c47764dbf6a4361 + .quad 0xafbbc4e56e562650 + .quad 0x07db2ee6aae1a45d + .quad 0xd7bb054ba2f2120b + .quad 0xe2b9ceaeb10589b7 + .quad 0x3fe8bac8f3c0edbe + .quad 0x4cbd40767112cb69 + .quad 0x0b603cc029c58176 + .quad 0x5988e3825cb15d61 + .quad 0x2bb61413dcf0ad8d + .quad 0x7b8eec6c74183287 + + // 2^36 * 6 * G + + .quad 0xe4ca40782cd27cb0 + .quad 0xdaf9c323fbe967bd + .quad 0xb29bd34a8ad41e9e + .quad 0x72810497626ede4d + .quad 0x32fee570fc386b73 + .quad 0xda8b0141da3a8cc7 + .quad 0x975ffd0ac8968359 + .quad 0x6ee809a1b132a855 + .quad 0x9444bb31fcfd863a + .quad 0x2fe3690a3e4e48c5 + .quad 0xdc29c867d088fa25 + .quad 0x13bd1e38d173292e + + // 2^36 * 7 * G + + .quad 0xd32b4cd8696149b5 + .quad 0xe55937d781d8aab7 + .quad 0x0bcb2127ae122b94 + .quad 0x41e86fcfb14099b0 + .quad 0x223fb5cf1dfac521 + .quad 0x325c25316f554450 + .quad 0x030b98d7659177ac + .quad 0x1ed018b64f88a4bd + .quad 0x3630dfa1b802a6b0 + .quad 0x880f874742ad3bd5 + .quad 0x0af90d6ceec5a4d4 + .quad 0x746a247a37cdc5d9 + + // 2^36 * 8 * G + + .quad 0xd531b8bd2b7b9af6 + .quad 0x5005093537fc5b51 + .quad 0x232fcf25c593546d + .quad 0x20a365142bb40f49 + .quad 0x6eccd85278d941ed + .quad 0x2254ae83d22f7843 + .quad 0xc522d02e7bbfcdb7 + .quad 0x681e3351bff0e4e2 + .quad 0x8b64b59d83034f45 + .quad 0x2f8b71f21fa20efb + .quad 0x69249495ba6550e4 + .quad 0x539ef98e45d5472b + + // 2^40 * 1 * G + + .quad 0x6e7bb6a1a6205275 + .quad 0xaa4f21d7413c8e83 + .quad 0x6f56d155e88f5cb2 + .quad 0x2de25d4ba6345be1 + .quad 0xd074d8961cae743f + .quad 0xf86d18f5ee1c63ed + .quad 0x97bdc55be7f4ed29 + .quad 0x4cbad279663ab108 + .quad 0x80d19024a0d71fcd + .quad 0xc525c20afb288af8 + .quad 0xb1a3974b5f3a6419 + .quad 0x7d7fbcefe2007233 + + // 2^40 * 2 * G + + .quad 0xfaef1e6a266b2801 + .quad 0x866c68c4d5739f16 + .quad 0xf68a2fbc1b03762c + .quad 0x5975435e87b75a8d + .quad 0xcd7c5dc5f3c29094 + .quad 0xc781a29a2a9105ab + .quad 0x80c61d36421c3058 + .quad 0x4f9cd196dcd8d4d7 + .quad 0x199297d86a7b3768 + .quad 0xd0d058241ad17a63 + .quad 0xba029cad5c1c0c17 + .quad 0x7ccdd084387a0307 + + // 2^40 * 3 * G + + .quad 0xdca6422c6d260417 + .quad 0xae153d50948240bd + .quad 0xa9c0c1b4fb68c677 + .quad 0x428bd0ed61d0cf53 + .quad 0x9b0c84186760cc93 + .quad 0xcdae007a1ab32a99 + .quad 0xa88dec86620bda18 + .quad 0x3593ca848190ca44 + .quad 0x9213189a5e849aa7 + .quad 0xd4d8c33565d8facd + .quad 0x8c52545b53fdbbd1 + .quad 0x27398308da2d63e6 + + // 2^40 * 4 * G + + .quad 0x42c38d28435ed413 + .quad 0xbd50f3603278ccc9 + .quad 0xbb07ab1a79da03ef + .quad 0x269597aebe8c3355 + .quad 0xb9a10e4c0a702453 + .quad 0x0fa25866d57d1bde + .quad 0xffb9d9b5cd27daf7 + .quad 0x572c2945492c33fd + .quad 0xc77fc745d6cd30be + .quad 0xe4dfe8d3e3baaefb + .quad 0xa22c8830aa5dda0c + .quad 0x7f985498c05bca80 + + // 2^40 * 5 * G + + .quad 0x3849ce889f0be117 + .quad 0x8005ad1b7b54a288 + .quad 0x3da3c39f23fc921c + .quad 0x76c2ec470a31f304 + .quad 0xd35615520fbf6363 + .quad 0x08045a45cf4dfba6 + .quad 0xeec24fbc873fa0c2 + .quad 0x30f2653cd69b12e7 + .quad 0x8a08c938aac10c85 + .quad 0x46179b60db276bcb + .quad 0xa920c01e0e6fac70 + .quad 0x2f1273f1596473da + + // 2^40 * 6 * G + + .quad 0x4739fc7c8ae01e11 + .quad 0xfd5274904a6aab9f + .quad 0x41d98a8287728f2e + .quad 0x5d9e572ad85b69f2 + .quad 0x30488bd755a70bc0 + .quad 0x06d6b5a4f1d442e7 + .quad 0xead1a69ebc596162 + .quad 0x38ac1997edc5f784 + .quad 0x0666b517a751b13b + .quad 0x747d06867e9b858c + .quad 0xacacc011454dde49 + .quad 0x22dfcd9cbfe9e69c + + // 2^40 * 7 * G + + .quad 0x8ddbd2e0c30d0cd9 + .quad 0xad8e665facbb4333 + .quad 0x8f6b258c322a961f + .quad 0x6b2916c05448c1c7 + .quad 0x56ec59b4103be0a1 + .quad 0x2ee3baecd259f969 + .quad 0x797cb29413f5cd32 + .quad 0x0fe9877824cde472 + .quad 0x7edb34d10aba913b + .quad 0x4ea3cd822e6dac0e + .quad 0x66083dff6578f815 + .quad 0x4c303f307ff00a17 + + // 2^40 * 8 * G + + .quad 0xd30a3bd617b28c85 + .quad 0xc5d377b739773bea + .quad 0xc6c6e78c1e6a5cbf + .quad 0x0d61b8f78b2ab7c4 + .quad 0x29fc03580dd94500 + .quad 0xecd27aa46fbbec93 + .quad 0x130a155fc2e2a7f8 + .quad 0x416b151ab706a1d5 + .quad 0x56a8d7efe9c136b0 + .quad 0xbd07e5cd58e44b20 + .quad 0xafe62fda1b57e0ab + .quad 0x191a2af74277e8d2 + + // 2^44 * 1 * G + + .quad 0xd550095bab6f4985 + .quad 0x04f4cd5b4fbfaf1a + .quad 0x9d8e2ed12a0c7540 + .quad 0x2bc24e04b2212286 + .quad 0x09d4b60b2fe09a14 + .quad 0xc384f0afdbb1747e + .quad 0x58e2ea8978b5fd6e + .quad 0x519ef577b5e09b0a + .quad 0x1863d7d91124cca9 + .quad 0x7ac08145b88a708e + .quad 0x2bcd7309857031f5 + .quad 0x62337a6e8ab8fae5 + + // 2^44 * 2 * G + + .quad 0x4bcef17f06ffca16 + .quad 0xde06e1db692ae16a + .quad 0x0753702d614f42b0 + .quad 0x5f6041b45b9212d0 + .quad 0xd1ab324e1b3a1273 + .quad 0x18947cf181055340 + .quad 0x3b5d9567a98c196e + .quad 0x7fa00425802e1e68 + .quad 0x7d531574028c2705 + .quad 0x80317d69db0d75fe + .quad 0x30fface8ef8c8ddd + .quad 0x7e9de97bb6c3e998 + + // 2^44 * 3 * G + + .quad 0x1558967b9e6585a3 + .quad 0x97c99ce098e98b92 + .quad 0x10af149b6eb3adad + .quad 0x42181fe8f4d38cfa + .quad 0xf004be62a24d40dd + .quad 0xba0659910452d41f + .quad 0x81c45ee162a44234 + .quad 0x4cb829d8a22266ef + .quad 0x1dbcaa8407b86681 + .quad 0x081f001e8b26753b + .quad 0x3cd7ce6a84048e81 + .quad 0x78af11633f25f22c + + // 2^44 * 4 * G + + .quad 0x8416ebd40b50babc + .quad 0x1508722628208bee + .quad 0xa3148fafb9c1c36d + .quad 0x0d07daacd32d7d5d + .quad 0x3241c00e7d65318c + .quad 0xe6bee5dcd0e86de7 + .quad 0x118b2dc2fbc08c26 + .quad 0x680d04a7fc603dc3 + .quad 0xf9c2414a695aa3eb + .quad 0xdaa42c4c05a68f21 + .quad 0x7c6c23987f93963e + .quad 0x210e8cd30c3954e3 + + // 2^44 * 5 * G + + .quad 0xac4201f210a71c06 + .quad 0x6a65e0aef3bfb021 + .quad 0xbc42c35c393632f7 + .quad 0x56ea8db1865f0742 + .quad 0x2b50f16137fe6c26 + .quad 0xe102bcd856e404d8 + .quad 0x12b0f1414c561f6b + .quad 0x51b17bc8d028ec91 + .quad 0xfff5fb4bcf535119 + .quad 0xf4989d79df1108a0 + .quad 0xbdfcea659a3ba325 + .quad 0x18a11f1174d1a6f2 + + // 2^44 * 6 * G + + .quad 0x407375ab3f6bba29 + .quad 0x9ec3b6d8991e482e + .quad 0x99c80e82e55f92e9 + .quad 0x307c13b6fb0c0ae1 + .quad 0xfbd63cdad27a5f2c + .quad 0xf00fc4bc8aa106d7 + .quad 0x53fb5c1a8e64a430 + .quad 0x04eaabe50c1a2e85 + .quad 0x24751021cb8ab5e7 + .quad 0xfc2344495c5010eb + .quad 0x5f1e717b4e5610a1 + .quad 0x44da5f18c2710cd5 + + // 2^44 * 7 * G + + .quad 0x033cc55ff1b82eb5 + .quad 0xb15ae36d411cae52 + .quad 0xba40b6198ffbacd3 + .quad 0x768edce1532e861f + .quad 0x9156fe6b89d8eacc + .quad 0xe6b79451e23126a1 + .quad 0xbd7463d93944eb4e + .quad 0x726373f6767203ae + .quad 0xe305ca72eb7ef68a + .quad 0x662cf31f70eadb23 + .quad 0x18f026fdb4c45b68 + .quad 0x513b5384b5d2ecbd + + // 2^44 * 8 * G + + .quad 0x46d46280c729989e + .quad 0x4b93fbd05368a5dd + .quad 0x63df3f81d1765a89 + .quad 0x34cebd64b9a0a223 + .quad 0x5e2702878af34ceb + .quad 0x900b0409b946d6ae + .quad 0x6512ebf7dabd8512 + .quad 0x61d9b76988258f81 + .quad 0xa6c5a71349b7d94b + .quad 0xa3f3d15823eb9446 + .quad 0x0416fbd277484834 + .quad 0x69d45e6f2c70812f + + // 2^48 * 1 * G + + .quad 0xce16f74bc53c1431 + .quad 0x2b9725ce2072edde + .quad 0xb8b9c36fb5b23ee7 + .quad 0x7e2e0e450b5cc908 + .quad 0x9fe62b434f460efb + .quad 0xded303d4a63607d6 + .quad 0xf052210eb7a0da24 + .quad 0x237e7dbe00545b93 + .quad 0x013575ed6701b430 + .quad 0x231094e69f0bfd10 + .quad 0x75320f1583e47f22 + .quad 0x71afa699b11155e3 + + // 2^48 * 2 * G + + .quad 0x65ce6f9b3953b61d + .quad 0xc65839eaafa141e6 + .quad 0x0f435ffda9f759fe + .quad 0x021142e9c2b1c28e + .quad 0xea423c1c473b50d6 + .quad 0x51e87a1f3b38ef10 + .quad 0x9b84bf5fb2c9be95 + .quad 0x00731fbc78f89a1c + .quad 0xe430c71848f81880 + .quad 0xbf960c225ecec119 + .quad 0xb6dae0836bba15e3 + .quad 0x4c4d6f3347e15808 + + // 2^48 * 3 * G + + .quad 0x18f7eccfc17d1fc9 + .quad 0x6c75f5a651403c14 + .quad 0xdbde712bf7ee0cdf + .quad 0x193fddaaa7e47a22 + .quad 0x2f0cddfc988f1970 + .quad 0x6b916227b0b9f51b + .quad 0x6ec7b6c4779176be + .quad 0x38bf9500a88f9fa8 + .quad 0x1fd2c93c37e8876f + .quad 0xa2f61e5a18d1462c + .quad 0x5080f58239241276 + .quad 0x6a6fb99ebf0d4969 + + // 2^48 * 4 * G + + .quad 0x6a46c1bb560855eb + .quad 0x2416bb38f893f09d + .quad 0xd71d11378f71acc1 + .quad 0x75f76914a31896ea + .quad 0xeeb122b5b6e423c6 + .quad 0x939d7010f286ff8e + .quad 0x90a92a831dcf5d8c + .quad 0x136fda9f42c5eb10 + .quad 0xf94cdfb1a305bdd1 + .quad 0x0f364b9d9ff82c08 + .quad 0x2a87d8a5c3bb588a + .quad 0x022183510be8dcba + + // 2^48 * 5 * G + + .quad 0x4af766385ead2d14 + .quad 0xa08ed880ca7c5830 + .quad 0x0d13a6e610211e3d + .quad 0x6a071ce17b806c03 + .quad 0x9d5a710143307a7f + .quad 0xb063de9ec47da45f + .quad 0x22bbfe52be927ad3 + .quad 0x1387c441fd40426c + .quad 0xb5d3c3d187978af8 + .quad 0x722b5a3d7f0e4413 + .quad 0x0d7b4848bb477ca0 + .quad 0x3171b26aaf1edc92 + + // 2^48 * 6 * G + + .quad 0xa92f319097564ca8 + .quad 0xff7bb84c2275e119 + .quad 0x4f55fe37a4875150 + .quad 0x221fd4873cf0835a + .quad 0xa60db7d8b28a47d1 + .quad 0xa6bf14d61770a4f1 + .quad 0xd4a1f89353ddbd58 + .quad 0x6c514a63344243e9 + .quad 0x2322204f3a156341 + .quad 0xfb73e0e9ba0a032d + .quad 0xfce0dd4c410f030e + .quad 0x48daa596fb924aaa + + // 2^48 * 7 * G + + .quad 0x6eca8e665ca59cc7 + .quad 0xa847254b2e38aca0 + .quad 0x31afc708d21e17ce + .quad 0x676dd6fccad84af7 + .quad 0x14f61d5dc84c9793 + .quad 0x9941f9e3ef418206 + .quad 0xcdf5b88f346277ac + .quad 0x58c837fa0e8a79a9 + .quad 0x0cf9688596fc9058 + .quad 0x1ddcbbf37b56a01b + .quad 0xdcc2e77d4935d66a + .quad 0x1c4f73f2c6a57f0a + + // 2^48 * 8 * G + + .quad 0x0e7a4fbd305fa0bb + .quad 0x829d4ce054c663ad + .quad 0xf421c3832fe33848 + .quad 0x795ac80d1bf64c42 + .quad 0xb36e706efc7c3484 + .quad 0x73dfc9b4c3c1cf61 + .quad 0xeb1d79c9781cc7e5 + .quad 0x70459adb7daf675c + .quad 0x1b91db4991b42bb3 + .quad 0x572696234b02dcca + .quad 0x9fdf9ee51f8c78dc + .quad 0x5fe162848ce21fd3 + + // 2^52 * 1 * G + + .quad 0xe2790aae4d077c41 + .quad 0x8b938270db7469a3 + .quad 0x6eb632dc8abd16a2 + .quad 0x720814ecaa064b72 + .quad 0x315c29c795115389 + .quad 0xd7e0e507862f74ce + .quad 0x0c4a762185927432 + .quad 0x72de6c984a25a1e4 + .quad 0xae9ab553bf6aa310 + .quad 0x050a50a9806d6e1b + .quad 0x92bb7403adff5139 + .quad 0x0394d27645be618b + + // 2^52 * 2 * G + + .quad 0x4d572251857eedf4 + .quad 0xe3724edde19e93c5 + .quad 0x8a71420e0b797035 + .quad 0x3b3c833687abe743 + .quad 0xf5396425b23545a4 + .quad 0x15a7a27e98fbb296 + .quad 0xab6c52bc636fdd86 + .quad 0x79d995a8419334ee + .quad 0xcd8a8ea61195dd75 + .quad 0xa504d8a81dd9a82f + .quad 0x540dca81a35879b6 + .quad 0x60dd16a379c86a8a + + // 2^52 * 3 * G + + .quad 0x35a2c8487381e559 + .quad 0x596ffea6d78082cb + .quad 0xcb9771ebdba7b653 + .quad 0x5a08b5019b4da685 + .quad 0x3501d6f8153e47b8 + .quad 0xb7a9675414a2f60c + .quad 0x112ee8b6455d9523 + .quad 0x4e62a3c18112ea8a + .quad 0xc8d4ac04516ab786 + .quad 0x595af3215295b23d + .quad 0xd6edd234db0230c1 + .quad 0x0929efe8825b41cc + + // 2^52 * 4 * G + + .quad 0x5f0601d1cbd0f2d3 + .quad 0x736e412f6132bb7f + .quad 0x83604432238dde87 + .quad 0x1e3a5272f5c0753c + .quad 0x8b3172b7ad56651d + .quad 0x01581b7a3fabd717 + .quad 0x2dc94df6424df6e4 + .quad 0x30376e5d2c29284f + .quad 0xd2918da78159a59c + .quad 0x6bdc1cd93f0713f3 + .quad 0x565f7a934acd6590 + .quad 0x53daacec4cb4c128 + + // 2^52 * 5 * G + + .quad 0x4ca73bd79cc8a7d6 + .quad 0x4d4a738f47e9a9b2 + .quad 0xf4cbf12942f5fe00 + .quad 0x01a13ff9bdbf0752 + .quad 0x99852bc3852cfdb0 + .quad 0x2cc12e9559d6ed0b + .quad 0x70f9e2bf9b5ac27b + .quad 0x4f3b8c117959ae99 + .quad 0x55b6c9c82ff26412 + .quad 0x1ac4a8c91fb667a8 + .quad 0xd527bfcfeb778bf2 + .quad 0x303337da7012a3be + + // 2^52 * 6 * G + + .quad 0x955422228c1c9d7c + .quad 0x01fac1371a9b340f + .quad 0x7e8d9177925b48d7 + .quad 0x53f8ad5661b3e31b + .quad 0x976d3ccbfad2fdd1 + .quad 0xcb88839737a640a8 + .quad 0x2ff00c1d6734cb25 + .quad 0x269ff4dc789c2d2b + .quad 0x0c003fbdc08d678d + .quad 0x4d982fa37ead2b17 + .quad 0xc07e6bcdb2e582f1 + .quad 0x296c7291df412a44 + + // 2^52 * 7 * G + + .quad 0x7903de2b33daf397 + .quad 0xd0ff0619c9a624b3 + .quad 0x8a1d252b555b3e18 + .quad 0x2b6d581c52e0b7c0 + .quad 0xdfb23205dab8b59e + .quad 0x465aeaa0c8092250 + .quad 0xd133c1189a725d18 + .quad 0x2327370261f117d1 + .quad 0x3d0543d3623e7986 + .quad 0x679414c2c278a354 + .quad 0xae43f0cc726196f6 + .quad 0x7836c41f8245eaba + + // 2^52 * 8 * G + + .quad 0xe7a254db49e95a81 + .quad 0x5192d5d008b0ad73 + .quad 0x4d20e5b1d00afc07 + .quad 0x5d55f8012cf25f38 + .quad 0xca651e848011937c + .quad 0xc6b0c46e6ef41a28 + .quad 0xb7021ba75f3f8d52 + .quad 0x119dff99ead7b9fd + .quad 0x43eadfcbf4b31d4d + .quad 0xc6503f7411148892 + .quad 0xfeee68c5060d3b17 + .quad 0x329293b3dd4a0ac8 + + // 2^56 * 1 * G + + .quad 0x4e59214fe194961a + .quad 0x49be7dc70d71cd4f + .quad 0x9300cfd23b50f22d + .quad 0x4789d446fc917232 + .quad 0x2879852d5d7cb208 + .quad 0xb8dedd70687df2e7 + .quad 0xdc0bffab21687891 + .quad 0x2b44c043677daa35 + .quad 0x1a1c87ab074eb78e + .quad 0xfac6d18e99daf467 + .quad 0x3eacbbcd484f9067 + .quad 0x60c52eef2bb9a4e4 + + // 2^56 * 2 * G + + .quad 0x0b5d89bc3bfd8bf1 + .quad 0xb06b9237c9f3551a + .quad 0x0e4c16b0d53028f5 + .quad 0x10bc9c312ccfcaab + .quad 0x702bc5c27cae6d11 + .quad 0x44c7699b54a48cab + .quad 0xefbc4056ba492eb2 + .quad 0x70d77248d9b6676d + .quad 0xaa8ae84b3ec2a05b + .quad 0x98699ef4ed1781e0 + .quad 0x794513e4708e85d1 + .quad 0x63755bd3a976f413 + + // 2^56 * 3 * G + + .quad 0xb55fa03e2ad10853 + .quad 0x356f75909ee63569 + .quad 0x9ff9f1fdbe69b890 + .quad 0x0d8cc1c48bc16f84 + .quad 0x3dc7101897f1acb7 + .quad 0x5dda7d5ec165bbd8 + .quad 0x508e5b9c0fa1020f + .quad 0x2763751737c52a56 + .quad 0x029402d36eb419a9 + .quad 0xf0b44e7e77b460a5 + .quad 0xcfa86230d43c4956 + .quad 0x70c2dd8a7ad166e7 + + // 2^56 * 4 * G + + .quad 0x656194509f6fec0e + .quad 0xee2e7ea946c6518d + .quad 0x9733c1f367e09b5c + .quad 0x2e0fac6363948495 + .quad 0x91d4967db8ed7e13 + .quad 0x74252f0ad776817a + .quad 0xe40982e00d852564 + .quad 0x32b8613816a53ce5 + .quad 0x79e7f7bee448cd64 + .quad 0x6ac83a67087886d0 + .quad 0xf89fd4d9a0e4db2e + .quad 0x4179215c735a4f41 + + // 2^56 * 5 * G + + .quad 0x8c7094e7d7dced2a + .quad 0x97fb8ac347d39c70 + .quad 0xe13be033a906d902 + .quad 0x700344a30cd99d76 + .quad 0xe4ae33b9286bcd34 + .quad 0xb7ef7eb6559dd6dc + .quad 0x278b141fb3d38e1f + .quad 0x31fa85662241c286 + .quad 0xaf826c422e3622f4 + .quad 0xc12029879833502d + .quad 0x9bc1b7e12b389123 + .quad 0x24bb2312a9952489 + + // 2^56 * 6 * G + + .quad 0xb1a8ed1732de67c3 + .quad 0x3cb49418461b4948 + .quad 0x8ebd434376cfbcd2 + .quad 0x0fee3e871e188008 + .quad 0x41f80c2af5f85c6b + .quad 0x687284c304fa6794 + .quad 0x8945df99a3ba1bad + .quad 0x0d1d2af9ffeb5d16 + .quad 0xa9da8aa132621edf + .quad 0x30b822a159226579 + .quad 0x4004197ba79ac193 + .quad 0x16acd79718531d76 + + // 2^56 * 7 * G + + .quad 0x72df72af2d9b1d3d + .quad 0x63462a36a432245a + .quad 0x3ecea07916b39637 + .quad 0x123e0ef6b9302309 + .quad 0xc959c6c57887b6ad + .quad 0x94e19ead5f90feba + .quad 0x16e24e62a342f504 + .quad 0x164ed34b18161700 + .quad 0x487ed94c192fe69a + .quad 0x61ae2cea3a911513 + .quad 0x877bf6d3b9a4de27 + .quad 0x78da0fc61073f3eb + + // 2^56 * 8 * G + + .quad 0x5bf15d28e52bc66a + .quad 0x2c47e31870f01a8e + .quad 0x2419afbc06c28bdd + .quad 0x2d25deeb256b173a + .quad 0xa29f80f1680c3a94 + .quad 0x71f77e151ae9e7e6 + .quad 0x1100f15848017973 + .quad 0x054aa4b316b38ddd + .quad 0xdfc8468d19267cb8 + .quad 0x0b28789c66e54daf + .quad 0x2aeb1d2a666eec17 + .quad 0x134610a6ab7da760 + + // 2^60 * 1 * G + + .quad 0xcaf55ec27c59b23f + .quad 0x99aeed3e154d04f2 + .quad 0x68441d72e14141f4 + .quad 0x140345133932a0a2 + .quad 0xd91430e0dc028c3c + .quad 0x0eb955a85217c771 + .quad 0x4b09e1ed2c99a1fa + .quad 0x42881af2bd6a743c + .quad 0x7bfec69aab5cad3d + .quad 0xc23e8cd34cb2cfad + .quad 0x685dd14bfb37d6a2 + .quad 0x0ad6d64415677a18 + + // 2^60 * 2 * G + + .quad 0x781a439e417becb5 + .quad 0x4ac5938cd10e0266 + .quad 0x5da385110692ac24 + .quad 0x11b065a2ade31233 + .quad 0x7914892847927e9f + .quad 0x33dad6ef370aa877 + .quad 0x1f8f24fa11122703 + .quad 0x5265ac2f2adf9592 + .quad 0x405fdd309afcb346 + .quad 0xd9723d4428e63f54 + .quad 0x94c01df05f65aaae + .quad 0x43e4dc3ae14c0809 + + // 2^60 * 3 * G + + .quad 0xbc12c7f1a938a517 + .quad 0x473028ab3180b2e1 + .quad 0x3f78571efbcd254a + .quad 0x74e534426ff6f90f + .quad 0xea6f7ac3adc2c6a3 + .quad 0xd0e928f6e9717c94 + .quad 0xe2d379ead645eaf5 + .quad 0x46dd8785c51ffbbe + .quad 0x709801be375c8898 + .quad 0x4b06dab5e3fd8348 + .quad 0x75880ced27230714 + .quad 0x2b09468fdd2f4c42 + + // 2^60 * 4 * G + + .quad 0x97c749eeb701cb96 + .quad 0x83f438d4b6a369c3 + .quad 0x62962b8b9a402cd9 + .quad 0x6976c7509888df7b + .quad 0x5b97946582ffa02a + .quad 0xda096a51fea8f549 + .quad 0xa06351375f77af9b + .quad 0x1bcfde61201d1e76 + .quad 0x4a4a5490246a59a2 + .quad 0xd63ebddee87fdd90 + .quad 0xd9437c670d2371fa + .quad 0x69e87308d30f8ed6 + + // 2^60 * 5 * G + + .quad 0x435a8bb15656beb0 + .quad 0xf8fac9ba4f4d5bca + .quad 0xb9b278c41548c075 + .quad 0x3eb0ef76e892b622 + .quad 0x0f80bf028bc80303 + .quad 0x6aae16b37a18cefb + .quad 0xdd47ea47d72cd6a3 + .quad 0x61943588f4ed39aa + .quad 0xd26e5c3e91039f85 + .quad 0xc0e9e77df6f33aa9 + .quad 0xe8968c5570066a93 + .quad 0x3c34d1881faaaddd + + // 2^60 * 6 * G + + .quad 0x3f9d2b5ea09f9ec0 + .quad 0x1dab3b6fb623a890 + .quad 0xa09ba3ea72d926c4 + .quad 0x374193513fd8b36d + .quad 0xbd5b0b8f2fffe0d9 + .quad 0x6aa254103ed24fb9 + .quad 0x2ac7d7bcb26821c4 + .quad 0x605b394b60dca36a + .quad 0xb4e856e45a9d1ed2 + .quad 0xefe848766c97a9a2 + .quad 0xb104cf641e5eee7d + .quad 0x2f50b81c88a71c8f + + // 2^60 * 7 * G + + .quad 0x31723c61fc6811bb + .quad 0x9cb450486211800f + .quad 0x768933d347995753 + .quad 0x3491a53502752fcd + .quad 0x2b552ca0a7da522a + .quad 0x3230b336449b0250 + .quad 0xf2c4c5bca4b99fb9 + .quad 0x7b2c674958074a22 + .quad 0xd55165883ed28cdf + .quad 0x12d84fd2d362de39 + .quad 0x0a874ad3e3378e4f + .quad 0x000d2b1f7c763e74 + + // 2^60 * 8 * G + + .quad 0x3d420811d06d4a67 + .quad 0xbefc048590e0ffe3 + .quad 0xf870c6b7bd487bde + .quad 0x6e2a7316319afa28 + .quad 0x9624778c3e94a8ab + .quad 0x0ad6f3cee9a78bec + .quad 0x948ac7810d743c4f + .quad 0x76627935aaecfccc + .quad 0x56a8ac24d6d59a9f + .quad 0xc8db753e3096f006 + .quad 0x477f41e68f4c5299 + .quad 0x588d851cf6c86114 + + // 2^64 * 1 * G + + .quad 0x51138ec78df6b0fe + .quad 0x5397da89e575f51b + .quad 0x09207a1d717af1b9 + .quad 0x2102fdba2b20d650 + .quad 0xcd2a65e777d1f515 + .quad 0x548991878faa60f1 + .quad 0xb1b73bbcdabc06e5 + .quad 0x654878cba97cc9fb + .quad 0x969ee405055ce6a1 + .quad 0x36bca7681251ad29 + .quad 0x3a1af517aa7da415 + .quad 0x0ad725db29ecb2ba + + // 2^64 * 2 * G + + .quad 0xdc4267b1834e2457 + .quad 0xb67544b570ce1bc5 + .quad 0x1af07a0bf7d15ed7 + .quad 0x4aefcffb71a03650 + .quad 0xfec7bc0c9b056f85 + .quad 0x537d5268e7f5ffd7 + .quad 0x77afc6624312aefa + .quad 0x4f675f5302399fd9 + .quad 0xc32d36360415171e + .quad 0xcd2bef118998483b + .quad 0x870a6eadd0945110 + .quad 0x0bccbb72a2a86561 + + // 2^64 * 3 * G + + .quad 0x185e962feab1a9c8 + .quad 0x86e7e63565147dcd + .quad 0xb092e031bb5b6df2 + .quad 0x4024f0ab59d6b73e + .quad 0x186d5e4c50fe1296 + .quad 0xe0397b82fee89f7e + .quad 0x3bc7f6c5507031b0 + .quad 0x6678fd69108f37c2 + .quad 0x1586fa31636863c2 + .quad 0x07f68c48572d33f2 + .quad 0x4f73cc9f789eaefc + .quad 0x2d42e2108ead4701 + + // 2^64 * 4 * G + + .quad 0x97f5131594dfd29b + .quad 0x6155985d313f4c6a + .quad 0xeba13f0708455010 + .quad 0x676b2608b8d2d322 + .quad 0x21717b0d0f537593 + .quad 0x914e690b131e064c + .quad 0x1bb687ae752ae09f + .quad 0x420bf3a79b423c6e + .quad 0x8138ba651c5b2b47 + .quad 0x8671b6ec311b1b80 + .quad 0x7bff0cb1bc3135b0 + .quad 0x745d2ffa9c0cf1e0 + + // 2^64 * 5 * G + + .quad 0xbf525a1e2bc9c8bd + .quad 0xea5b260826479d81 + .quad 0xd511c70edf0155db + .quad 0x1ae23ceb960cf5d0 + .quad 0x6036df5721d34e6a + .quad 0xb1db8827997bb3d0 + .quad 0xd3c209c3c8756afa + .quad 0x06e15be54c1dc839 + .quad 0x5b725d871932994a + .quad 0x32351cb5ceb1dab0 + .quad 0x7dc41549dab7ca05 + .quad 0x58ded861278ec1f7 + + // 2^64 * 6 * G + + .quad 0xd8173793f266c55c + .quad 0xc8c976c5cc454e49 + .quad 0x5ce382f8bc26c3a8 + .quad 0x2ff39de85485f6f9 + .quad 0x2dfb5ba8b6c2c9a8 + .quad 0x48eeef8ef52c598c + .quad 0x33809107f12d1573 + .quad 0x08ba696b531d5bd8 + .quad 0x77ed3eeec3efc57a + .quad 0x04e05517d4ff4811 + .quad 0xea3d7a3ff1a671cb + .quad 0x120633b4947cfe54 + + // 2^64 * 7 * G + + .quad 0x0b94987891610042 + .quad 0x4ee7b13cecebfae8 + .quad 0x70be739594f0a4c0 + .quad 0x35d30a99b4d59185 + .quad 0x82bd31474912100a + .quad 0xde237b6d7e6fbe06 + .quad 0xe11e761911ea79c6 + .quad 0x07433be3cb393bde + .quad 0xff7944c05ce997f4 + .quad 0x575d3de4b05c51a3 + .quad 0x583381fd5a76847c + .quad 0x2d873ede7af6da9f + + // 2^64 * 8 * G + + .quad 0x157a316443373409 + .quad 0xfab8b7eef4aa81d9 + .quad 0xb093fee6f5a64806 + .quad 0x2e773654707fa7b6 + .quad 0xaa6202e14e5df981 + .quad 0xa20d59175015e1f5 + .quad 0x18a275d3bae21d6c + .quad 0x0543618a01600253 + .quad 0x0deabdf4974c23c1 + .quad 0xaa6f0a259dce4693 + .quad 0x04202cb8a29aba2c + .quad 0x4b1443362d07960d + + // 2^68 * 1 * G + + .quad 0x47b837f753242cec + .quad 0x256dc48cc04212f2 + .quad 0xe222fbfbe1d928c5 + .quad 0x48ea295bad8a2c07 + .quad 0x299b1c3f57c5715e + .quad 0x96cb929e6b686d90 + .quad 0x3004806447235ab3 + .quad 0x2c435c24a44d9fe1 + .quad 0x0607c97c80f8833f + .quad 0x0e851578ca25ec5b + .quad 0x54f7450b161ebb6f + .quad 0x7bcb4792a0def80e + + // 2^68 * 2 * G + + .quad 0x8487e3d02bc73659 + .quad 0x4baf8445059979df + .quad 0xd17c975adcad6fbf + .quad 0x57369f0bdefc96b6 + .quad 0x1cecd0a0045224c2 + .quad 0x757f1b1b69e53952 + .quad 0x775b7a925289f681 + .quad 0x1b6cc62016736148 + .quad 0xf1a9990175638698 + .quad 0x353dd1beeeaa60d3 + .quad 0x849471334c9ba488 + .quad 0x63fa6e6843ade311 + + // 2^68 * 3 * G + + .quad 0xd15c20536597c168 + .quad 0x9f73740098d28789 + .quad 0x18aee7f13257ba1f + .quad 0x3418bfda07346f14 + .quad 0x2195becdd24b5eb7 + .quad 0x5e41f18cc0cd44f9 + .quad 0xdf28074441ca9ede + .quad 0x07073b98f35b7d67 + .quad 0xd03c676c4ce530d4 + .quad 0x0b64c0473b5df9f4 + .quad 0x065cef8b19b3a31e + .quad 0x3084d661533102c9 + + // 2^68 * 4 * G + + .quad 0xe1f6b79ebf8469ad + .quad 0x15801004e2663135 + .quad 0x9a498330af74181b + .quad 0x3ba2504f049b673c + .quad 0x9a6ce876760321fd + .quad 0x7fe2b5109eb63ad8 + .quad 0x00e7d4ae8ac80592 + .quad 0x73d86b7abb6f723a + .quad 0x0b52b5606dba5ab6 + .quad 0xa9134f0fbbb1edab + .quad 0x30a9520d9b04a635 + .quad 0x6813b8f37973e5db + + // 2^68 * 5 * G + + .quad 0x9854b054334127c1 + .quad 0x105d047882fbff25 + .quad 0xdb49f7f944186f4f + .quad 0x1768e838bed0b900 + .quad 0xf194ca56f3157e29 + .quad 0x136d35705ef528a5 + .quad 0xdd4cef778b0599bc + .quad 0x7d5472af24f833ed + .quad 0xd0ef874daf33da47 + .quad 0x00d3be5db6e339f9 + .quad 0x3f2a8a2f9c9ceece + .quad 0x5d1aeb792352435a + + // 2^68 * 6 * G + + .quad 0xf59e6bb319cd63ca + .quad 0x670c159221d06839 + .quad 0xb06d565b2150cab6 + .quad 0x20fb199d104f12a3 + .quad 0x12c7bfaeb61ba775 + .quad 0xb84e621fe263bffd + .quad 0x0b47a5c35c840dcf + .quad 0x7e83be0bccaf8634 + .quad 0x61943dee6d99c120 + .quad 0x86101f2e460b9fe0 + .quad 0x6bb2f1518ee8598d + .quad 0x76b76289fcc475cc + + // 2^68 * 7 * G + + .quad 0x791b4cc1756286fa + .quad 0xdbced317d74a157c + .quad 0x7e732421ea72bde6 + .quad 0x01fe18491131c8e9 + .quad 0x4245f1a1522ec0b3 + .quad 0x558785b22a75656d + .quad 0x1d485a2548a1b3c0 + .quad 0x60959eccd58fe09f + .quad 0x3ebfeb7ba8ed7a09 + .quad 0x49fdc2bbe502789c + .quad 0x44ebce5d3c119428 + .quad 0x35e1eb55be947f4a + + // 2^68 * 8 * G + + .quad 0xdbdae701c5738dd3 + .quad 0xf9c6f635b26f1bee + .quad 0x61e96a8042f15ef4 + .quad 0x3aa1d11faf60a4d8 + .quad 0x14fd6dfa726ccc74 + .quad 0x3b084cfe2f53b965 + .quad 0xf33ae4f552a2c8b4 + .quad 0x59aab07a0d40166a + .quad 0x77bcec4c925eac25 + .quad 0x1848718460137738 + .quad 0x5b374337fea9f451 + .quad 0x1865e78ec8e6aa46 + + // 2^72 * 1 * G + + .quad 0xccc4b7c7b66e1f7a + .quad 0x44157e25f50c2f7e + .quad 0x3ef06dfc713eaf1c + .quad 0x582f446752da63f7 + .quad 0x967c54e91c529ccb + .quad 0x30f6269264c635fb + .quad 0x2747aff478121965 + .quad 0x17038418eaf66f5c + .quad 0xc6317bd320324ce4 + .quad 0xa81042e8a4488bc4 + .quad 0xb21ef18b4e5a1364 + .quad 0x0c2a1c4bcda28dc9 + + // 2^72 * 2 * G + + .quad 0xd24dc7d06f1f0447 + .quad 0xb2269e3edb87c059 + .quad 0xd15b0272fbb2d28f + .quad 0x7c558bd1c6f64877 + .quad 0xedc4814869bd6945 + .quad 0x0d6d907dbe1c8d22 + .quad 0xc63bd212d55cc5ab + .quad 0x5a6a9b30a314dc83 + .quad 0xd0ec1524d396463d + .quad 0x12bb628ac35a24f0 + .quad 0xa50c3a791cbc5fa4 + .quad 0x0404a5ca0afbafc3 + + // 2^72 * 3 * G + + .quad 0x8c1f40070aa743d6 + .quad 0xccbad0cb5b265ee8 + .quad 0x574b046b668fd2de + .quad 0x46395bfdcadd9633 + .quad 0x62bc9e1b2a416fd1 + .quad 0xb5c6f728e350598b + .quad 0x04343fd83d5d6967 + .quad 0x39527516e7f8ee98 + .quad 0x117fdb2d1a5d9a9c + .quad 0x9c7745bcd1005c2a + .quad 0xefd4bef154d56fea + .quad 0x76579a29e822d016 + + // 2^72 * 4 * G + + .quad 0x45b68e7e49c02a17 + .quad 0x23cd51a2bca9a37f + .quad 0x3ed65f11ec224c1b + .quad 0x43a384dc9e05bdb1 + .quad 0x333cb51352b434f2 + .quad 0xd832284993de80e1 + .quad 0xb5512887750d35ce + .quad 0x02c514bb2a2777c1 + .quad 0x684bd5da8bf1b645 + .quad 0xfb8bd37ef6b54b53 + .quad 0x313916d7a9b0d253 + .quad 0x1160920961548059 + + // 2^72 * 5 * G + + .quad 0xb44d166929dacfaa + .quad 0xda529f4c8413598f + .quad 0xe9ef63ca453d5559 + .quad 0x351e125bc5698e0b + .quad 0x7a385616369b4dcd + .quad 0x75c02ca7655c3563 + .quad 0x7dc21bf9d4f18021 + .quad 0x2f637d7491e6e042 + .quad 0xd4b49b461af67bbe + .quad 0xd603037ac8ab8961 + .quad 0x71dee19ff9a699fb + .quad 0x7f182d06e7ce2a9a + + // 2^72 * 6 * G + + .quad 0x7a7c8e64ab0168ec + .quad 0xcb5a4a5515edc543 + .quad 0x095519d347cd0eda + .quad 0x67d4ac8c343e93b0 + .quad 0x09454b728e217522 + .quad 0xaa58e8f4d484b8d8 + .quad 0xd358254d7f46903c + .quad 0x44acc043241c5217 + .quad 0x1c7d6bbb4f7a5777 + .quad 0x8b35fed4918313e1 + .quad 0x4adca1c6c96b4684 + .quad 0x556d1c8312ad71bd + + // 2^72 * 7 * G + + .quad 0x17ef40e30c8d3982 + .quad 0x31f7073e15a3fa34 + .quad 0x4f21f3cb0773646e + .quad 0x746c6c6d1d824eff + .quad 0x81f06756b11be821 + .quad 0x0faff82310a3f3dd + .quad 0xf8b2d0556a99465d + .quad 0x097abe38cc8c7f05 + .quad 0x0c49c9877ea52da4 + .quad 0x4c4369559bdc1d43 + .quad 0x022c3809f7ccebd2 + .quad 0x577e14a34bee84bd + + // 2^72 * 8 * G + + .quad 0xf0e268ac61a73b0a + .quad 0xf2fafa103791a5f5 + .quad 0xc1e13e826b6d00e9 + .quad 0x60fa7ee96fd78f42 + .quad 0x94fecebebd4dd72b + .quad 0xf46a4fda060f2211 + .quad 0x124a5977c0c8d1ff + .quad 0x705304b8fb009295 + .quad 0xb63d1d354d296ec6 + .quad 0xf3c3053e5fad31d8 + .quad 0x670b958cb4bd42ec + .quad 0x21398e0ca16353fd + + // 2^76 * 1 * G + + .quad 0x216ab2ca8da7d2ef + .quad 0x366ad9dd99f42827 + .quad 0xae64b9004fdd3c75 + .quad 0x403a395b53909e62 + .quad 0x86c5fc16861b7e9a + .quad 0xf6a330476a27c451 + .quad 0x01667267a1e93597 + .quad 0x05ffb9cd6082dfeb + .quad 0xa617fa9ff53f6139 + .quad 0x60f2b5e513e66cb6 + .quad 0xd7a8beefb3448aa4 + .quad 0x7a2932856f5ea192 + + // 2^76 * 2 * G + + .quad 0x0b39d761b02de888 + .quad 0x5f550e7ed2414e1f + .quad 0xa6bfa45822e1a940 + .quad 0x050a2f7dfd447b99 + .quad 0xb89c444879639302 + .quad 0x4ae4f19350c67f2c + .quad 0xf0b35da8c81af9c6 + .quad 0x39d0003546871017 + .quad 0x437c3b33a650db77 + .quad 0x6bafe81dbac52bb2 + .quad 0xfe99402d2db7d318 + .quad 0x2b5b7eec372ba6ce + + // 2^76 * 3 * G + + .quad 0xb3bc4bbd83f50eef + .quad 0x508f0c998c927866 + .quad 0x43e76587c8b7e66e + .quad 0x0f7655a3a47f98d9 + .quad 0xa694404d613ac8f4 + .quad 0x500c3c2bfa97e72c + .quad 0x874104d21fcec210 + .quad 0x1b205fb38604a8ee + .quad 0x55ecad37d24b133c + .quad 0x441e147d6038c90b + .quad 0x656683a1d62c6fee + .quad 0x0157d5dc87e0ecae + + // 2^76 * 4 * G + + .quad 0xf2a7af510354c13d + .quad 0xd7a0b145aa372b60 + .quad 0x2869b96a05a3d470 + .quad 0x6528e42d82460173 + .quad 0x95265514d71eb524 + .quad 0xe603d8815df14593 + .quad 0x147cdf410d4de6b7 + .quad 0x5293b1730437c850 + .quad 0x23d0e0814bccf226 + .quad 0x92c745cd8196fb93 + .quad 0x8b61796c59541e5b + .quad 0x40a44df0c021f978 + + // 2^76 * 5 * G + + .quad 0xdaa869894f20ea6a + .quad 0xea14a3d14c620618 + .quad 0x6001fccb090bf8be + .quad 0x35f4e822947e9cf0 + .quad 0x86c96e514bc5d095 + .quad 0xf20d4098fca6804a + .quad 0x27363d89c826ea5d + .quad 0x39ca36565719cacf + .quad 0x97506f2f6f87b75c + .quad 0xc624aea0034ae070 + .quad 0x1ec856e3aad34dd6 + .quad 0x055b0be0e440e58f + + // 2^76 * 6 * G + + .quad 0x6469a17d89735d12 + .quad 0xdb6f27d5e662b9f1 + .quad 0x9fcba3286a395681 + .quad 0x363b8004d269af25 + .quad 0x4d12a04b6ea33da2 + .quad 0x57cf4c15e36126dd + .quad 0x90ec9675ee44d967 + .quad 0x64ca348d2a985aac + .quad 0x99588e19e4c4912d + .quad 0xefcc3b4e1ca5ce6b + .quad 0x4522ea60fa5b98d5 + .quad 0x7064bbab1de4a819 + + // 2^76 * 7 * G + + .quad 0xb919e1515a770641 + .quad 0xa9a2e2c74e7f8039 + .quad 0x7527250b3df23109 + .quad 0x756a7330ac27b78b + .quad 0xa290c06142542129 + .quad 0xf2e2c2aebe8d5b90 + .quad 0xcf2458db76abfe1b + .quad 0x02157ade83d626bf + .quad 0x3e46972a1b9a038b + .quad 0x2e4ee66a7ee03fb4 + .quad 0x81a248776edbb4ca + .quad 0x1a944ee88ecd0563 + + // 2^76 * 8 * G + + .quad 0xd5a91d1151039372 + .quad 0x2ed377b799ca26de + .quad 0xa17202acfd366b6b + .quad 0x0730291bd6901995 + .quad 0xbb40a859182362d6 + .quad 0xb99f55778a4d1abb + .quad 0x8d18b427758559f6 + .quad 0x26c20fe74d26235a + .quad 0x648d1d9fe9cc22f5 + .quad 0x66bc561928dd577c + .quad 0x47d3ed21652439d1 + .quad 0x49d271acedaf8b49 + + // 2^80 * 1 * G + + .quad 0x89f5058a382b33f3 + .quad 0x5ae2ba0bad48c0b4 + .quad 0x8f93b503a53db36e + .quad 0x5aa3ed9d95a232e6 + .quad 0x2798aaf9b4b75601 + .quad 0x5eac72135c8dad72 + .quad 0xd2ceaa6161b7a023 + .quad 0x1bbfb284e98f7d4e + .quad 0x656777e9c7d96561 + .quad 0xcb2b125472c78036 + .quad 0x65053299d9506eee + .quad 0x4a07e14e5e8957cc + + // 2^80 * 2 * G + + .quad 0x4ee412cb980df999 + .quad 0xa315d76f3c6ec771 + .quad 0xbba5edde925c77fd + .quad 0x3f0bac391d313402 + .quad 0x240b58cdc477a49b + .quad 0xfd38dade6447f017 + .quad 0x19928d32a7c86aad + .quad 0x50af7aed84afa081 + .quad 0x6e4fde0115f65be5 + .quad 0x29982621216109b2 + .quad 0x780205810badd6d9 + .quad 0x1921a316baebd006 + + // 2^80 * 3 * G + + .quad 0x89422f7edfb870fc + .quad 0x2c296beb4f76b3bd + .quad 0x0738f1d436c24df7 + .quad 0x6458df41e273aeb0 + .quad 0xd75aad9ad9f3c18b + .quad 0x566a0eef60b1c19c + .quad 0x3e9a0bac255c0ed9 + .quad 0x7b049deca062c7f5 + .quad 0xdccbe37a35444483 + .quad 0x758879330fedbe93 + .quad 0x786004c312c5dd87 + .quad 0x6093dccbc2950e64 + + // 2^80 * 4 * G + + .quad 0x1ff39a8585e0706d + .quad 0x36d0a5d8b3e73933 + .quad 0x43b9f2e1718f453b + .quad 0x57d1ea084827a97c + .quad 0x6bdeeebe6084034b + .quad 0x3199c2b6780fb854 + .quad 0x973376abb62d0695 + .quad 0x6e3180c98b647d90 + .quad 0xee7ab6e7a128b071 + .quad 0xa4c1596d93a88baa + .quad 0xf7b4de82b2216130 + .quad 0x363e999ddd97bd18 + + // 2^80 * 5 * G + + .quad 0x96a843c135ee1fc4 + .quad 0x976eb35508e4c8cf + .quad 0xb42f6801b58cd330 + .quad 0x48ee9b78693a052b + .quad 0x2f1848dce24baec6 + .quad 0x769b7255babcaf60 + .quad 0x90cb3c6e3cefe931 + .quad 0x231f979bc6f9b355 + .quad 0x5c31de4bcc2af3c6 + .quad 0xb04bb030fe208d1f + .quad 0xb78d7009c14fb466 + .quad 0x079bfa9b08792413 + + // 2^80 * 6 * G + + .quad 0xe3903a51da300df4 + .quad 0x843964233da95ab0 + .quad 0xed3cf12d0b356480 + .quad 0x038c77f684817194 + .quad 0xf3c9ed80a2d54245 + .quad 0x0aa08b7877f63952 + .quad 0xd76dac63d1085475 + .quad 0x1ef4fb159470636b + .quad 0x854e5ee65b167bec + .quad 0x59590a4296d0cdc2 + .quad 0x72b2df3498102199 + .quad 0x575ee92a4a0bff56 + + // 2^80 * 7 * G + + .quad 0xd4c080908a182fcf + .quad 0x30e170c299489dbd + .quad 0x05babd5752f733de + .quad 0x43d4e7112cd3fd00 + .quad 0x5d46bc450aa4d801 + .quad 0xc3af1227a533b9d8 + .quad 0x389e3b262b8906c2 + .quad 0x200a1e7e382f581b + .quad 0x518db967eaf93ac5 + .quad 0x71bc989b056652c0 + .quad 0xfe2b85d9567197f5 + .quad 0x050eca52651e4e38 + + // 2^80 * 8 * G + + .quad 0xc3431ade453f0c9c + .quad 0xe9f5045eff703b9b + .quad 0xfcd97ac9ed847b3d + .quad 0x4b0ee6c21c58f4c6 + .quad 0x97ac397660e668ea + .quad 0x9b19bbfe153ab497 + .quad 0x4cb179b534eca79f + .quad 0x6151c09fa131ae57 + .quad 0x3af55c0dfdf05d96 + .quad 0xdd262ee02ab4ee7a + .quad 0x11b2bb8712171709 + .quad 0x1fef24fa800f030b + + // 2^84 * 1 * G + + .quad 0xb496123a6b6c6609 + .quad 0xa750fe8580ab5938 + .quad 0xf471bf39b7c27a5f + .quad 0x507903ce77ac193c + .quad 0xff91a66a90166220 + .quad 0xf22552ae5bf1e009 + .quad 0x7dff85d87f90df7c + .quad 0x4f620ffe0c736fb9 + .quad 0x62f90d65dfde3e34 + .quad 0xcf28c592b9fa5fad + .quad 0x99c86ef9c6164510 + .quad 0x25d448044a256c84 + + // 2^84 * 2 * G + + .quad 0xbd68230ec7e9b16f + .quad 0x0eb1b9c1c1c5795d + .quad 0x7943c8c495b6b1ff + .quad 0x2f9faf620bbacf5e + .quad 0x2c7c4415c9022b55 + .quad 0x56a0d241812eb1fe + .quad 0xf02ea1c9d7b65e0d + .quad 0x4180512fd5323b26 + .quad 0xa4ff3e698a48a5db + .quad 0xba6a3806bd95403b + .quad 0x9f7ce1af47d5b65d + .quad 0x15e087e55939d2fb + + // 2^84 * 3 * G + + .quad 0x12207543745c1496 + .quad 0xdaff3cfdda38610c + .quad 0xe4e797272c71c34f + .quad 0x39c07b1934bdede9 + .quad 0x8894186efb963f38 + .quad 0x48a00e80dc639bd5 + .quad 0xa4e8092be96c1c99 + .quad 0x5a097d54ca573661 + .quad 0x2d45892b17c9e755 + .quad 0xd033fd7289308df8 + .quad 0x6c2fe9d9525b8bd9 + .quad 0x2edbecf1c11cc079 + + // 2^84 * 4 * G + + .quad 0x1616a4e3c715a0d2 + .quad 0x53623cb0f8341d4d + .quad 0x96ef5329c7e899cb + .quad 0x3d4e8dbba668baa6 + .quad 0xee0f0fddd087a25f + .quad 0x9c7531555c3e34ee + .quad 0x660c572e8fab3ab5 + .quad 0x0854fc44544cd3b2 + .quad 0x61eba0c555edad19 + .quad 0x24b533fef0a83de6 + .quad 0x3b77042883baa5f8 + .quad 0x678f82b898a47e8d + + // 2^84 * 5 * G + + .quad 0xb1491d0bd6900c54 + .quad 0x3539722c9d132636 + .quad 0x4db928920b362bc9 + .quad 0x4d7cd1fea68b69df + .quad 0x1e09d94057775696 + .quad 0xeed1265c3cd951db + .quad 0xfa9dac2b20bce16f + .quad 0x0f7f76e0e8d089f4 + .quad 0x36d9ebc5d485b00c + .quad 0xa2596492e4adb365 + .quad 0xc1659480c2119ccd + .quad 0x45306349186e0d5f + + // 2^84 * 6 * G + + .quad 0x94ddd0c1a6cdff1d + .quad 0x55f6f115e84213ae + .quad 0x6c935f85992fcf6a + .quad 0x067ee0f54a37f16f + .quad 0x96a414ec2b072491 + .quad 0x1bb2218127a7b65b + .quad 0x6d2849596e8a4af0 + .quad 0x65f3b08ccd27765f + .quad 0xecb29fff199801f7 + .quad 0x9d361d1fa2a0f72f + .quad 0x25f11d2375fd2f49 + .quad 0x124cefe80fe10fe2 + + // 2^84 * 7 * G + + .quad 0x4c126cf9d18df255 + .quad 0xc1d471e9147a63b6 + .quad 0x2c6d3c73f3c93b5f + .quad 0x6be3a6a2e3ff86a2 + .quad 0x1518e85b31b16489 + .quad 0x8faadcb7db710bfb + .quad 0x39b0bdf4a14ae239 + .quad 0x05f4cbea503d20c1 + .quad 0xce040e9ec04145bc + .quad 0xc71ff4e208f6834c + .quad 0xbd546e8dab8847a3 + .quad 0x64666aa0a4d2aba5 + + // 2^84 * 8 * G + + .quad 0x6841435a7c06d912 + .quad 0xca123c21bb3f830b + .quad 0xd4b37b27b1cbe278 + .quad 0x1d753b84c76f5046 + .quad 0xb0c53bf73337e94c + .quad 0x7cb5697e11e14f15 + .quad 0x4b84abac1930c750 + .quad 0x28dd4abfe0640468 + .quad 0x7dc0b64c44cb9f44 + .quad 0x18a3e1ace3925dbf + .quad 0x7a3034862d0457c4 + .quad 0x4c498bf78a0c892e + + // 2^88 * 1 * G + + .quad 0x37d653fb1aa73196 + .quad 0x0f9495303fd76418 + .quad 0xad200b09fb3a17b2 + .quad 0x544d49292fc8613e + .quad 0x22d2aff530976b86 + .quad 0x8d90b806c2d24604 + .quad 0xdca1896c4de5bae5 + .quad 0x28005fe6c8340c17 + .quad 0x6aefba9f34528688 + .quad 0x5c1bff9425107da1 + .quad 0xf75bbbcd66d94b36 + .quad 0x72e472930f316dfa + + // 2^88 * 2 * G + + .quad 0x2695208c9781084f + .quad 0xb1502a0b23450ee1 + .quad 0xfd9daea603efde02 + .quad 0x5a9d2e8c2733a34c + .quad 0x07f3f635d32a7627 + .quad 0x7aaa4d865f6566f0 + .quad 0x3c85e79728d04450 + .quad 0x1fee7f000fe06438 + .quad 0x765305da03dbf7e5 + .quad 0xa4daf2491434cdbd + .quad 0x7b4ad5cdd24a88ec + .quad 0x00f94051ee040543 + + // 2^88 * 3 * G + + .quad 0x8d356b23c3d330b2 + .quad 0xf21c8b9bb0471b06 + .quad 0xb36c316c6e42b83c + .quad 0x07d79c7e8beab10d + .quad 0xd7ef93bb07af9753 + .quad 0x583ed0cf3db766a7 + .quad 0xce6998bf6e0b1ec5 + .quad 0x47b7ffd25dd40452 + .quad 0x87fbfb9cbc08dd12 + .quad 0x8a066b3ae1eec29b + .quad 0x0d57242bdb1fc1bf + .quad 0x1c3520a35ea64bb6 + + // 2^88 * 4 * G + + .quad 0x80d253a6bccba34a + .quad 0x3e61c3a13838219b + .quad 0x90c3b6019882e396 + .quad 0x1c3d05775d0ee66f + .quad 0xcda86f40216bc059 + .quad 0x1fbb231d12bcd87e + .quad 0xb4956a9e17c70990 + .quad 0x38750c3b66d12e55 + .quad 0x692ef1409422e51a + .quad 0xcbc0c73c2b5df671 + .quad 0x21014fe7744ce029 + .quad 0x0621e2c7d330487c + + // 2^88 * 5 * G + + .quad 0xaf9860cc8259838d + .quad 0x90ea48c1c69f9adc + .quad 0x6526483765581e30 + .quad 0x0007d6097bd3a5bc + .quad 0xb7ae1796b0dbf0f3 + .quad 0x54dfafb9e17ce196 + .quad 0x25923071e9aaa3b4 + .quad 0x5d8e589ca1002e9d + .quad 0xc0bf1d950842a94b + .quad 0xb2d3c363588f2e3e + .quad 0x0a961438bb51e2ef + .quad 0x1583d7783c1cbf86 + + // 2^88 * 6 * G + + .quad 0xeceea2ef5da27ae1 + .quad 0x597c3a1455670174 + .quad 0xc9a62a126609167a + .quad 0x252a5f2e81ed8f70 + .quad 0x90034704cc9d28c7 + .quad 0x1d1b679ef72cc58f + .quad 0x16e12b5fbe5b8726 + .quad 0x4958064e83c5580a + .quad 0x0d2894265066e80d + .quad 0xfcc3f785307c8c6b + .quad 0x1b53da780c1112fd + .quad 0x079c170bd843b388 + + // 2^88 * 7 * G + + .quad 0x0506ece464fa6fff + .quad 0xbee3431e6205e523 + .quad 0x3579422451b8ea42 + .quad 0x6dec05e34ac9fb00 + .quad 0xcdd6cd50c0d5d056 + .quad 0x9af7686dbb03573b + .quad 0x3ca6723ff3c3ef48 + .quad 0x6768c0d7317b8acc + .quad 0x94b625e5f155c1b3 + .quad 0x417bf3a7997b7b91 + .quad 0xc22cbddc6d6b2600 + .quad 0x51445e14ddcd52f4 + + // 2^88 * 8 * G + + .quad 0x57502b4b3b144951 + .quad 0x8e67ff6b444bbcb3 + .quad 0xb8bd6927166385db + .quad 0x13186f31e39295c8 + .quad 0x893147ab2bbea455 + .quad 0x8c53a24f92079129 + .quad 0x4b49f948be30f7a7 + .quad 0x12e990086e4fd43d + .quad 0xf10c96b37fdfbb2e + .quad 0x9f9a935e121ceaf9 + .quad 0xdf1136c43a5b983f + .quad 0x77b2e3f05d3e99af + + // 2^92 * 1 * G + + .quad 0xfd0d75879cf12657 + .quad 0xe82fef94e53a0e29 + .quad 0xcc34a7f05bbb4be7 + .quad 0x0b251172a50c38a2 + .quad 0x9532f48fcc5cd29b + .quad 0x2ba851bea3ce3671 + .quad 0x32dacaa051122941 + .quad 0x478d99d9350004f2 + .quad 0x1d5ad94890bb02c0 + .quad 0x50e208b10ec25115 + .quad 0xa26a22894ef21702 + .quad 0x4dc923343b524805 + + // 2^92 * 2 * G + + .quad 0xe3828c400f8086b6 + .quad 0x3f77e6f7979f0dc8 + .quad 0x7ef6de304df42cb4 + .quad 0x5265797cb6abd784 + .quad 0x3ad3e3ebf36c4975 + .quad 0xd75d25a537862125 + .quad 0xe873943da025a516 + .quad 0x6bbc7cb4c411c847 + .quad 0x3c6f9cd1d4a50d56 + .quad 0xb6244077c6feab7e + .quad 0x6ff9bf483580972e + .quad 0x00375883b332acfb + + // 2^92 * 3 * G + + .quad 0x0001b2cd28cb0940 + .quad 0x63fb51a06f1c24c9 + .quad 0xb5ad8691dcd5ca31 + .quad 0x67238dbd8c450660 + .quad 0xc98bec856c75c99c + .quad 0xe44184c000e33cf4 + .quad 0x0a676b9bba907634 + .quad 0x669e2cb571f379d7 + .quad 0xcb116b73a49bd308 + .quad 0x025aad6b2392729e + .quad 0xb4793efa3f55d9b1 + .quad 0x72a1056140678bb9 + + // 2^92 * 4 * G + + .quad 0xa2b6812b1cc9249d + .quad 0x62866eee21211f58 + .quad 0x2cb5c5b85df10ece + .quad 0x03a6b259e263ae00 + .quad 0x0d8d2909e2e505b6 + .quad 0x98ca78abc0291230 + .quad 0x77ef5569a9b12327 + .quad 0x7c77897b81439b47 + .quad 0xf1c1b5e2de331cb5 + .quad 0x5a9f5d8e15fca420 + .quad 0x9fa438f17bd932b1 + .quad 0x2a381bf01c6146e7 + + // 2^92 * 5 * G + + .quad 0xac9b9879cfc811c1 + .quad 0x8b7d29813756e567 + .quad 0x50da4e607c70edfc + .quad 0x5dbca62f884400b6 + .quad 0xf7c0be32b534166f + .quad 0x27e6ca6419cf70d4 + .quad 0x934df7d7a957a759 + .quad 0x5701461dabdec2aa + .quad 0x2c6747402c915c25 + .quad 0x1bdcd1a80b0d340a + .quad 0x5e5601bd07b43f5f + .quad 0x2555b4e05539a242 + + // 2^92 * 6 * G + + .quad 0x6fc09f5266ddd216 + .quad 0xdce560a7c8e37048 + .quad 0xec65939da2df62fd + .quad 0x7a869ae7e52ed192 + .quad 0x78409b1d87e463d4 + .quad 0xad4da95acdfb639d + .quad 0xec28773755259b9c + .quad 0x69c806e9c31230ab + .quad 0x7b48f57414bb3f22 + .quad 0x68c7cee4aedccc88 + .quad 0xed2f936179ed80be + .quad 0x25d70b885f77bc4b + + // 2^92 * 7 * G + + .quad 0x4151c3d9762bf4de + .quad 0x083f435f2745d82b + .quad 0x29775a2e0d23ddd5 + .quad 0x138e3a6269a5db24 + .quad 0x98459d29bb1ae4d4 + .quad 0x56b9c4c739f954ec + .quad 0x832743f6c29b4b3e + .quad 0x21ea8e2798b6878a + .quad 0x87bef4b46a5a7b9c + .quad 0xd2299d1b5fc1d062 + .quad 0x82409818dd321648 + .quad 0x5c5abeb1e5a2e03d + + // 2^92 * 8 * G + + .quad 0x14722af4b73c2ddb + .quad 0xbc470c5f5a05060d + .quad 0x00943eac2581b02e + .quad 0x0e434b3b1f499c8f + .quad 0x02cde6de1306a233 + .quad 0x7b5a52a2116f8ec7 + .quad 0xe1c681f4c1163b5b + .quad 0x241d350660d32643 + .quad 0x6be4404d0ebc52c7 + .quad 0xae46233bb1a791f5 + .quad 0x2aec170ed25db42b + .quad 0x1d8dfd966645d694 + + // 2^96 * 1 * G + + .quad 0x296fa9c59c2ec4de + .quad 0xbc8b61bf4f84f3cb + .quad 0x1c7706d917a8f908 + .quad 0x63b795fc7ad3255d + .quad 0xd598639c12ddb0a4 + .quad 0xa5d19f30c024866b + .quad 0xd17c2f0358fce460 + .quad 0x07a195152e095e8a + .quad 0xa8368f02389e5fc8 + .quad 0x90433b02cf8de43b + .quad 0xafa1fd5dc5412643 + .quad 0x3e8fe83d032f0137 + + // 2^96 * 2 * G + + .quad 0x2f8b15b90570a294 + .quad 0x94f2427067084549 + .quad 0xde1c5ae161bbfd84 + .quad 0x75ba3b797fac4007 + .quad 0x08704c8de8efd13c + .quad 0xdfc51a8e33e03731 + .quad 0xa59d5da51260cde3 + .quad 0x22d60899a6258c86 + .quad 0x6239dbc070cdd196 + .quad 0x60fe8a8b6c7d8a9a + .quad 0xb38847bceb401260 + .quad 0x0904d07b87779e5e + + // 2^96 * 3 * G + + .quad 0xb4ce1fd4ddba919c + .quad 0xcf31db3ec74c8daa + .quad 0x2c63cc63ad86cc51 + .quad 0x43e2143fbc1dde07 + .quad 0xf4322d6648f940b9 + .quad 0x06952f0cbd2d0c39 + .quad 0x167697ada081f931 + .quad 0x6240aacebaf72a6c + .quad 0xf834749c5ba295a0 + .quad 0xd6947c5bca37d25a + .quad 0x66f13ba7e7c9316a + .quad 0x56bdaf238db40cac + + // 2^96 * 4 * G + + .quad 0x362ab9e3f53533eb + .quad 0x338568d56eb93d40 + .quad 0x9e0e14521d5a5572 + .quad 0x1d24a86d83741318 + .quad 0x1310d36cc19d3bb2 + .quad 0x062a6bb7622386b9 + .quad 0x7c9b8591d7a14f5c + .quad 0x03aa31507e1e5754 + .quad 0xf4ec7648ffd4ce1f + .quad 0xe045eaf054ac8c1c + .quad 0x88d225821d09357c + .quad 0x43b261dc9aeb4859 + + // 2^96 * 5 * G + + .quad 0xe55b1e1988bb79bb + .quad 0xa09ed07dc17a359d + .quad 0xb02c2ee2603dea33 + .quad 0x326055cf5b276bc2 + .quad 0x19513d8b6c951364 + .quad 0x94fe7126000bf47b + .quad 0x028d10ddd54f9567 + .quad 0x02b4d5e242940964 + .quad 0xb4a155cb28d18df2 + .quad 0xeacc4646186ce508 + .quad 0xc49cf4936c824389 + .quad 0x27a6c809ae5d3410 + + // 2^96 * 6 * G + + .quad 0x8ba6ebcd1f0db188 + .quad 0x37d3d73a675a5be8 + .quad 0xf22edfa315f5585a + .quad 0x2cb67174ff60a17e + .quad 0xcd2c270ac43d6954 + .quad 0xdd4a3e576a66cab2 + .quad 0x79fa592469d7036c + .quad 0x221503603d8c2599 + .quad 0x59eecdf9390be1d0 + .quad 0xa9422044728ce3f1 + .quad 0x82891c667a94f0f4 + .quad 0x7b1df4b73890f436 + + // 2^96 * 7 * G + + .quad 0xe492f2e0b3b2a224 + .quad 0x7c6c9e062b551160 + .quad 0x15eb8fe20d7f7b0e + .quad 0x61fcef2658fc5992 + .quad 0x5f2e221807f8f58c + .quad 0xe3555c9fd49409d4 + .quad 0xb2aaa88d1fb6a630 + .quad 0x68698245d352e03d + .quad 0xdbb15d852a18187a + .quad 0xf3e4aad386ddacd7 + .quad 0x44bae2810ff6c482 + .quad 0x46cf4c473daf01cf + + // 2^96 * 8 * G + + .quad 0x426525ed9ec4e5f9 + .quad 0x0e5eda0116903303 + .quad 0x72b1a7f2cbe5cadc + .quad 0x29387bcd14eb5f40 + .quad 0x213c6ea7f1498140 + .quad 0x7c1e7ef8392b4854 + .quad 0x2488c38c5629ceba + .quad 0x1065aae50d8cc5bb + .quad 0x1c2c4525df200d57 + .quad 0x5c3b2dd6bfca674a + .quad 0x0a07e7b1e1834030 + .quad 0x69a198e64f1ce716 + + // 2^100 * 1 * G + + .quad 0x7afcd613efa9d697 + .quad 0x0cc45aa41c067959 + .quad 0xa56fe104c1fada96 + .quad 0x3a73b70472e40365 + .quad 0x7b26e56b9e2d4734 + .quad 0xc4c7132b81c61675 + .quad 0xef5c9525ec9cde7f + .quad 0x39c80b16e71743ad + .quad 0x0f196e0d1b826c68 + .quad 0xf71ff0e24960e3db + .quad 0x6113167023b7436c + .quad 0x0cf0ea5877da7282 + + // 2^100 * 2 * G + + .quad 0x196c80a4ddd4ccbd + .quad 0x22e6f55d95f2dd9d + .quad 0xc75e33c740d6c71b + .quad 0x7bb51279cb3c042f + .quad 0xe332ced43ba6945a + .quad 0xde0b1361e881c05d + .quad 0x1ad40f095e67ed3b + .quad 0x5da8acdab8c63d5d + .quad 0xc4b6664a3a70159f + .quad 0x76194f0f0a904e14 + .quad 0xa5614c39a4096c13 + .quad 0x6cd0ff50979feced + + // 2^100 * 3 * G + + .quad 0xc0e067e78f4428ac + .quad 0x14835ab0a61135e3 + .quad 0xf21d14f338062935 + .quad 0x6390a4c8df04849c + .quad 0x7fecfabdb04ba18e + .quad 0xd0fc7bfc3bddbcf7 + .quad 0xa41d486e057a131c + .quad 0x641a4391f2223a61 + .quad 0xc5c6b95aa606a8db + .quad 0x914b7f9eb06825f1 + .quad 0x2a731f6b44fc9eff + .quad 0x30ddf38562705cfc + + // 2^100 * 4 * G + + .quad 0x4e3dcbdad1bff7f9 + .quad 0xc9118e8220645717 + .quad 0xbacccebc0f189d56 + .quad 0x1b4822e9d4467668 + .quad 0x33bef2bd68bcd52c + .quad 0xc649dbb069482ef2 + .quad 0xb5b6ee0c41cb1aee + .quad 0x5c294d270212a7e5 + .quad 0xab360a7f25563781 + .quad 0x2512228a480f7958 + .quad 0xc75d05276114b4e3 + .quad 0x222d9625d976fe2a + + // 2^100 * 5 * G + + .quad 0x1c717f85b372ace1 + .quad 0x81930e694638bf18 + .quad 0x239cad056bc08b58 + .quad 0x0b34271c87f8fff4 + .quad 0x0f94be7e0a344f85 + .quad 0xeb2faa8c87f22c38 + .quad 0x9ce1e75e4ee16f0f + .quad 0x43e64e5418a08dea + .quad 0x8155e2521a35ce63 + .quad 0xbe100d4df912028e + .quad 0xbff80bf8a57ddcec + .quad 0x57342dc96d6bc6e4 + + // 2^100 * 6 * G + + .quad 0xefeef065c8ce5998 + .quad 0xbf029510b5cbeaa2 + .quad 0x8c64a10620b7c458 + .quad 0x35134fb231c24855 + .quad 0xf3c3bcb71e707bf6 + .quad 0x351d9b8c7291a762 + .quad 0x00502e6edad69a33 + .quad 0x522f521f1ec8807f + .quad 0x272c1f46f9a3902b + .quad 0xc91ba3b799657bcc + .quad 0xae614b304f8a1c0e + .quad 0x7afcaad70b99017b + + // 2^100 * 7 * G + + .quad 0xc25ded54a4b8be41 + .quad 0x902d13e11bb0e2dd + .quad 0x41f43233cde82ab2 + .quad 0x1085faa5c3aae7cb + .quad 0xa88141ecef842b6b + .quad 0x55e7b14797abe6c5 + .quad 0x8c748f9703784ffe + .quad 0x5b50a1f7afcd00b7 + .quad 0x9b840f66f1361315 + .quad 0x18462242701003e9 + .quad 0x65ed45fae4a25080 + .quad 0x0a2862393fda7320 + + // 2^100 * 8 * G + + .quad 0x46ab13c8347cbc9d + .quad 0x3849e8d499c12383 + .quad 0x4cea314087d64ac9 + .quad 0x1f354134b1a29ee7 + .quad 0x960e737b6ecb9d17 + .quad 0xfaf24948d67ceae1 + .quad 0x37e7a9b4d55e1b89 + .quad 0x5cb7173cb46c59eb + .quad 0x4a89e68b82b7abf0 + .quad 0xf41cd9279ba6b7b9 + .quad 0x16e6c210e18d876f + .quad 0x7cacdb0f7f1b09c6 + + // 2^104 * 1 * G + + .quad 0x9062b2e0d91a78bc + .quad 0x47c9889cc8509667 + .quad 0x9df54a66405070b8 + .quad 0x7369e6a92493a1bf + .quad 0xe1014434dcc5caed + .quad 0x47ed5d963c84fb33 + .quad 0x70019576ed86a0e7 + .quad 0x25b2697bd267f9e4 + .quad 0x9d673ffb13986864 + .quad 0x3ca5fbd9415dc7b8 + .quad 0xe04ecc3bdf273b5e + .quad 0x1420683db54e4cd2 + + // 2^104 * 2 * G + + .quad 0xb478bd1e249dd197 + .quad 0x620c35005e58c102 + .quad 0xfb02d32fccbaac5c + .quad 0x60b63bebf508a72d + .quad 0x34eebb6fc1cc5ad0 + .quad 0x6a1b0ce99646ac8b + .quad 0xd3b0da49a66bde53 + .quad 0x31e83b4161d081c1 + .quad 0x97e8c7129e062b4f + .quad 0x49e48f4f29320ad8 + .quad 0x5bece14b6f18683f + .quad 0x55cf1eb62d550317 + + // 2^104 * 3 * G + + .quad 0x5879101065c23d58 + .quad 0x8b9d086d5094819c + .quad 0xe2402fa912c55fa7 + .quad 0x669a6564570891d4 + .quad 0x3076b5e37df58c52 + .quad 0xd73ab9dde799cc36 + .quad 0xbd831ce34913ee20 + .quad 0x1a56fbaa62ba0133 + .quad 0x943e6b505c9dc9ec + .quad 0x302557bba77c371a + .quad 0x9873ae5641347651 + .quad 0x13c4836799c58a5c + + // 2^104 * 4 * G + + .quad 0x423a5d465ab3e1b9 + .quad 0xfc13c187c7f13f61 + .quad 0x19f83664ecb5b9b6 + .quad 0x66f80c93a637b607 + .quad 0xc4dcfb6a5d8bd080 + .quad 0xdeebc4ec571a4842 + .quad 0xd4b2e883b8e55365 + .quad 0x50bdc87dc8e5b827 + .quad 0x606d37836edfe111 + .quad 0x32353e15f011abd9 + .quad 0x64b03ac325b73b96 + .quad 0x1dd56444725fd5ae + + // 2^104 * 5 * G + + .quad 0x8fa47ff83362127d + .quad 0xbc9f6ac471cd7c15 + .quad 0x6e71454349220c8b + .quad 0x0e645912219f732e + .quad 0xc297e60008bac89a + .quad 0x7d4cea11eae1c3e0 + .quad 0xf3e38be19fe7977c + .quad 0x3a3a450f63a305cd + .quad 0x078f2f31d8394627 + .quad 0x389d3183de94a510 + .quad 0xd1e36c6d17996f80 + .quad 0x318c8d9393a9a87b + + // 2^104 * 6 * G + + .quad 0xf2745d032afffe19 + .quad 0x0c9f3c497f24db66 + .quad 0xbc98d3e3ba8598ef + .quad 0x224c7c679a1d5314 + .quad 0x5d669e29ab1dd398 + .quad 0xfc921658342d9e3b + .quad 0x55851dfdf35973cd + .quad 0x509a41c325950af6 + .quad 0xbdc06edca6f925e9 + .quad 0x793ef3f4641b1f33 + .quad 0x82ec12809d833e89 + .quad 0x05bff02328a11389 + + // 2^104 * 7 * G + + .quad 0x3632137023cae00b + .quad 0x544acf0ad1accf59 + .quad 0x96741049d21a1c88 + .quad 0x780b8cc3fa2a44a7 + .quad 0x6881a0dd0dc512e4 + .quad 0x4fe70dc844a5fafe + .quad 0x1f748e6b8f4a5240 + .quad 0x576277cdee01a3ea + .quad 0x1ef38abc234f305f + .quad 0x9a577fbd1405de08 + .quad 0x5e82a51434e62a0d + .quad 0x5ff418726271b7a1 + + // 2^104 * 8 * G + + .quad 0x398e080c1789db9d + .quad 0xa7602025f3e778f5 + .quad 0xfa98894c06bd035d + .quad 0x106a03dc25a966be + .quad 0xe5db47e813b69540 + .quad 0xf35d2a3b432610e1 + .quad 0xac1f26e938781276 + .quad 0x29d4db8ca0a0cb69 + .quad 0xd9ad0aaf333353d0 + .quad 0x38669da5acd309e5 + .quad 0x3c57658ac888f7f0 + .quad 0x4ab38a51052cbefa + + // 2^108 * 1 * G + + .quad 0xdfdacbee4324c0e9 + .quad 0x054442883f955bb7 + .quad 0xdef7aaa8ea31609f + .quad 0x68aee70642287cff + .quad 0xf68fe2e8809de054 + .quad 0xe3bc096a9c82bad1 + .quad 0x076353d40aadbf45 + .quad 0x7b9b1fb5dea1959e + .quad 0xf01cc8f17471cc0c + .quad 0x95242e37579082bb + .quad 0x27776093d3e46b5f + .quad 0x2d13d55a28bd85fb + + // 2^108 * 2 * G + + .quad 0xfac5d2065b35b8da + .quad 0xa8da8a9a85624bb7 + .quad 0xccd2ca913d21cd0f + .quad 0x6b8341ee8bf90d58 + .quad 0xbf019cce7aee7a52 + .quad 0xa8ded2b6e454ead3 + .quad 0x3c619f0b87a8bb19 + .quad 0x3619b5d7560916d8 + .quad 0x3579f26b0282c4b2 + .quad 0x64d592f24fafefae + .quad 0xb7cded7b28c8c7c0 + .quad 0x6a927b6b7173a8d7 + + // 2^108 * 3 * G + + .quad 0x1f6db24f986e4656 + .quad 0x1021c02ed1e9105b + .quad 0xf8ff3fff2cc0a375 + .quad 0x1d2a6bf8c6c82592 + .quad 0x8d7040863ece88eb + .quad 0xf0e307a980eec08c + .quad 0xac2250610d788fda + .quad 0x056d92a43a0d478d + .quad 0x1b05a196fc3da5a1 + .quad 0x77d7a8c243b59ed0 + .quad 0x06da3d6297d17918 + .quad 0x66fbb494f12353f7 + + // 2^108 * 4 * G + + .quad 0x751a50b9d85c0fb8 + .quad 0xd1afdc258bcf097b + .quad 0x2f16a6a38309a969 + .quad 0x14ddff9ee5b00659 + .quad 0xd6d70996f12309d6 + .quad 0xdbfb2385e9c3d539 + .quad 0x46d602b0f7552411 + .quad 0x270a0b0557843e0c + .quad 0x61ff0640a7862bcc + .quad 0x81cac09a5f11abfe + .quad 0x9047830455d12abb + .quad 0x19a4bde1945ae873 + + // 2^108 * 5 * G + + .quad 0x9b9f26f520a6200a + .quad 0x64804443cf13eaf8 + .quad 0x8a63673f8631edd3 + .quad 0x72bbbce11ed39dc1 + .quad 0x40c709dec076c49f + .quad 0x657bfaf27f3e53f6 + .quad 0x40662331eca042c4 + .quad 0x14b375487eb4df04 + .quad 0xae853c94ab66dc47 + .quad 0xeb62343edf762d6e + .quad 0xf08e0e186fb2f7d1 + .quad 0x4f0b1c02700ab37a + + // 2^108 * 6 * G + + .quad 0xe1706787d81951fa + .quad 0xa10a2c8eb290c77b + .quad 0xe7382fa03ed66773 + .quad 0x0a4d84710bcc4b54 + .quad 0x79fd21ccc1b2e23f + .quad 0x4ae7c281453df52a + .quad 0xc8172ec9d151486b + .quad 0x68abe9443e0a7534 + .quad 0xda12c6c407831dcb + .quad 0x0da230d74d5c510d + .quad 0x4ab1531e6bd404e1 + .quad 0x4106b166bcf440ef + + // 2^108 * 7 * G + + .quad 0x02e57a421cd23668 + .quad 0x4ad9fb5d0eaef6fd + .quad 0x954e6727b1244480 + .quad 0x7f792f9d2699f331 + .quad 0xa485ccd539e4ecf2 + .quad 0x5aa3f3ad0555bab5 + .quad 0x145e3439937df82d + .quad 0x1238b51e1214283f + .quad 0x0b886b925fd4d924 + .quad 0x60906f7a3626a80d + .quad 0xecd367b4b98abd12 + .quad 0x2876beb1def344cf + + // 2^108 * 8 * G + + .quad 0xdc84e93563144691 + .quad 0x632fe8a0d61f23f4 + .quad 0x4caa800612a9a8d5 + .quad 0x48f9dbfa0e9918d3 + .quad 0xd594b3333a8a85f8 + .quad 0x4ea37689e78d7d58 + .quad 0x73bf9f455e8e351f + .quad 0x5507d7d2bc41ebb4 + .quad 0x1ceb2903299572fc + .quad 0x7c8ccaa29502d0ee + .quad 0x91bfa43411cce67b + .quad 0x5784481964a831e7 + + // 2^112 * 1 * G + + .quad 0xda7c2b256768d593 + .quad 0x98c1c0574422ca13 + .quad 0xf1a80bd5ca0ace1d + .quad 0x29cdd1adc088a690 + .quad 0xd6cfd1ef5fddc09c + .quad 0xe82b3efdf7575dce + .quad 0x25d56b5d201634c2 + .quad 0x3041c6bb04ed2b9b + .quad 0x0ff2f2f9d956e148 + .quad 0xade797759f356b2e + .quad 0x1a4698bb5f6c025c + .quad 0x104bbd6814049a7b + + // 2^112 * 2 * G + + .quad 0x51f0fd3168f1ed67 + .quad 0x2c811dcdd86f3bc2 + .quad 0x44dc5c4304d2f2de + .quad 0x5be8cc57092a7149 + .quad 0xa95d9a5fd67ff163 + .quad 0xe92be69d4cc75681 + .quad 0xb7f8024cde20f257 + .quad 0x204f2a20fb072df5 + .quad 0xc8143b3d30ebb079 + .quad 0x7589155abd652e30 + .quad 0x653c3c318f6d5c31 + .quad 0x2570fb17c279161f + + // 2^112 * 3 * G + + .quad 0x3efa367f2cb61575 + .quad 0xf5f96f761cd6026c + .quad 0xe8c7142a65b52562 + .quad 0x3dcb65ea53030acd + .quad 0x192ea9550bb8245a + .quad 0xc8e6fba88f9050d1 + .quad 0x7986ea2d88a4c935 + .quad 0x241c5f91de018668 + .quad 0x28d8172940de6caa + .quad 0x8fbf2cf022d9733a + .quad 0x16d7fcdd235b01d1 + .quad 0x08420edd5fcdf0e5 + + // 2^112 * 4 * G + + .quad 0xcdff20ab8362fa4a + .quad 0x57e118d4e21a3e6e + .quad 0xe3179617fc39e62b + .quad 0x0d9a53efbc1769fd + .quad 0x0358c34e04f410ce + .quad 0xb6135b5a276e0685 + .quad 0x5d9670c7ebb91521 + .quad 0x04d654f321db889c + .quad 0x5e7dc116ddbdb5d5 + .quad 0x2954deb68da5dd2d + .quad 0x1cb608173334a292 + .quad 0x4a7a4f2618991ad7 + + // 2^112 * 5 * G + + .quad 0xf4a718025fb15f95 + .quad 0x3df65f346b5c1b8f + .quad 0xcdfcf08500e01112 + .quad 0x11b50c4cddd31848 + .quad 0x24c3b291af372a4b + .quad 0x93da8270718147f2 + .quad 0xdd84856486899ef2 + .quad 0x4a96314223e0ee33 + .quad 0xa6e8274408a4ffd6 + .quad 0x738e177e9c1576d9 + .quad 0x773348b63d02b3f2 + .quad 0x4f4bce4dce6bcc51 + + // 2^112 * 6 * G + + .quad 0xa71fce5ae2242584 + .quad 0x26ea725692f58a9e + .quad 0xd21a09d71cea3cf4 + .quad 0x73fcdd14b71c01e6 + .quad 0x30e2616ec49d0b6f + .quad 0xe456718fcaec2317 + .quad 0x48eb409bf26b4fa6 + .quad 0x3042cee561595f37 + .quad 0x427e7079449bac41 + .quad 0x855ae36dbce2310a + .quad 0x4cae76215f841a7c + .quad 0x389e740c9a9ce1d6 + + // 2^112 * 7 * G + + .quad 0x64fcb3ae34dcb9ce + .quad 0x97500323e348d0ad + .quad 0x45b3f07d62c6381b + .quad 0x61545379465a6788 + .quad 0xc9bd78f6570eac28 + .quad 0xe55b0b3227919ce1 + .quad 0x65fc3eaba19b91ed + .quad 0x25c425e5d6263690 + .quad 0x3f3e06a6f1d7de6e + .quad 0x3ef976278e062308 + .quad 0x8c14f6264e8a6c77 + .quad 0x6539a08915484759 + + // 2^112 * 8 * G + + .quad 0xe9d21f74c3d2f773 + .quad 0xc150544125c46845 + .quad 0x624e5ce8f9b99e33 + .quad 0x11c5e4aac5cd186c + .quad 0xddc4dbd414bb4a19 + .quad 0x19b2bc3c98424f8e + .quad 0x48a89fd736ca7169 + .quad 0x0f65320ef019bd90 + .quad 0xd486d1b1cafde0c6 + .quad 0x4f3fe6e3163b5181 + .quad 0x59a8af0dfaf2939a + .quad 0x4cabc7bdec33072a + + // 2^116 * 1 * G + + .quad 0x16faa8fb532f7428 + .quad 0xdbd42ea046a4e272 + .quad 0x5337653b8b9ea480 + .quad 0x4065947223973f03 + .quad 0xf7c0a19c1a54a044 + .quad 0x4a1c5e2477bd9fbb + .quad 0xa6e3ca115af22972 + .quad 0x1819bb953f2e9e0d + .quad 0x498fbb795e042e84 + .quad 0x7d0dd89a7698b714 + .quad 0x8bfb0ba427fe6295 + .quad 0x36ba82e721200524 + + // 2^116 * 2 * G + + .quad 0xd60ecbb74245ec41 + .quad 0xfd9be89e34348716 + .quad 0xc9240afee42284de + .quad 0x4472f648d0531db4 + .quad 0xc8d69d0a57274ed5 + .quad 0x45ba803260804b17 + .quad 0xdf3cda102255dfac + .quad 0x77d221232709b339 + .quad 0x498a6d7064ad94d8 + .quad 0xa5b5c8fd9af62263 + .quad 0x8ca8ed0545c141f4 + .quad 0x2c63bec3662d358c + + // 2^116 * 3 * G + + .quad 0x7fe60d8bea787955 + .quad 0xb9dc117eb5f401b7 + .quad 0x91c7c09a19355cce + .quad 0x22692ef59442bedf + .quad 0x9a518b3a8586f8bf + .quad 0x9ee71af6cbb196f0 + .quad 0xaa0625e6a2385cf2 + .quad 0x1deb2176ddd7c8d1 + .quad 0x8563d19a2066cf6c + .quad 0x401bfd8c4dcc7cd7 + .quad 0xd976a6becd0d8f62 + .quad 0x67cfd773a278b05e + + // 2^116 * 4 * G + + .quad 0x8dec31faef3ee475 + .quad 0x99dbff8a9e22fd92 + .quad 0x512d11594e26cab1 + .quad 0x0cde561eec4310b9 + .quad 0x2d5fa9855a4e586a + .quad 0x65f8f7a449beab7e + .quad 0xaa074dddf21d33d3 + .quad 0x185cba721bcb9dee + .quad 0x93869da3f4e3cb41 + .quad 0xbf0392f540f7977e + .quad 0x026204fcd0463b83 + .quad 0x3ec91a769eec6eed + + // 2^116 * 5 * G + + .quad 0x1e9df75bf78166ad + .quad 0x4dfda838eb0cd7af + .quad 0xba002ed8c1eaf988 + .quad 0x13fedb3e11f33cfc + .quad 0x0fad2fb7b0a3402f + .quad 0x46615ecbfb69f4a8 + .quad 0xf745bcc8c5f8eaa6 + .quad 0x7a5fa8794a94e896 + .quad 0x52958faa13cd67a1 + .quad 0x965ee0818bdbb517 + .quad 0x16e58daa2e8845b3 + .quad 0x357d397d5499da8f + + // 2^116 * 6 * G + + .quad 0x1ebfa05fb0bace6c + .quad 0xc934620c1caf9a1e + .quad 0xcc771cc41d82b61a + .quad 0x2d94a16aa5f74fec + .quad 0x481dacb4194bfbf8 + .quad 0x4d77e3f1bae58299 + .quad 0x1ef4612e7d1372a0 + .quad 0x3a8d867e70ff69e1 + .quad 0x6f58cd5d55aff958 + .quad 0xba3eaa5c75567721 + .quad 0x75c123999165227d + .quad 0x69be1343c2f2b35e + + // 2^116 * 7 * G + + .quad 0x0e091d5ee197c92a + .quad 0x4f51019f2945119f + .quad 0x143679b9f034e99c + .quad 0x7d88112e4d24c696 + .quad 0x82bbbdac684b8de3 + .quad 0xa2f4c7d03fca0718 + .quad 0x337f92fbe096aaa8 + .quad 0x200d4d8c63587376 + .quad 0x208aed4b4893b32b + .quad 0x3efbf23ebe59b964 + .quad 0xd762deb0dba5e507 + .quad 0x69607bd681bd9d94 + + // 2^116 * 8 * G + + .quad 0xf6be021068de1ce1 + .quad 0xe8d518e70edcbc1f + .quad 0xe3effdd01b5505a5 + .quad 0x35f63353d3ec3fd0 + .quad 0x3b7f3bd49323a902 + .quad 0x7c21b5566b2c6e53 + .quad 0xe5ba8ff53a7852a7 + .quad 0x28bc77a5838ece00 + .quad 0x63ba78a8e25d8036 + .quad 0x63651e0094333490 + .quad 0x48d82f20288ce532 + .quad 0x3a31abfa36b57524 + + // 2^120 * 1 * G + + .quad 0x239e9624089c0a2e + .quad 0xc748c4c03afe4738 + .quad 0x17dbed2a764fa12a + .quad 0x639b93f0321c8582 + .quad 0xc08f788f3f78d289 + .quad 0xfe30a72ca1404d9f + .quad 0xf2778bfccf65cc9d + .quad 0x7ee498165acb2021 + .quad 0x7bd508e39111a1c3 + .quad 0x2b2b90d480907489 + .quad 0xe7d2aec2ae72fd19 + .quad 0x0edf493c85b602a6 + + // 2^120 * 2 * G + + .quad 0xaecc8158599b5a68 + .quad 0xea574f0febade20e + .quad 0x4fe41d7422b67f07 + .quad 0x403b92e3019d4fb4 + .quad 0x6767c4d284764113 + .quad 0xa090403ff7f5f835 + .quad 0x1c8fcffacae6bede + .quad 0x04c00c54d1dfa369 + .quad 0x4dc22f818b465cf8 + .quad 0x71a0f35a1480eff8 + .quad 0xaee8bfad04c7d657 + .quad 0x355bb12ab26176f4 + + // 2^120 * 3 * G + + .quad 0xa71e64cc7493bbf4 + .quad 0xe5bd84d9eca3b0c3 + .quad 0x0a6bc50cfa05e785 + .quad 0x0f9b8132182ec312 + .quad 0xa301dac75a8c7318 + .quad 0xed90039db3ceaa11 + .quad 0x6f077cbf3bae3f2d + .quad 0x7518eaf8e052ad8e + .quad 0xa48859c41b7f6c32 + .quad 0x0f2d60bcf4383298 + .quad 0x1815a929c9b1d1d9 + .quad 0x47c3871bbb1755c4 + + // 2^120 * 4 * G + + .quad 0x5144539771ec4f48 + .quad 0xf805b17dc98c5d6e + .quad 0xf762c11a47c3c66b + .quad 0x00b89b85764699dc + .quad 0xfbe65d50c85066b0 + .quad 0x62ecc4b0b3a299b0 + .quad 0xe53754ea441ae8e0 + .quad 0x08fea02ce8d48d5f + .quad 0x824ddd7668deead0 + .quad 0xc86445204b685d23 + .quad 0xb514cfcd5d89d665 + .quad 0x473829a74f75d537 + + // 2^120 * 5 * G + + .quad 0x82d2da754679c418 + .quad 0xe63bd7d8b2618df0 + .quad 0x355eef24ac47eb0a + .quad 0x2078684c4833c6b4 + .quad 0x23d9533aad3902c9 + .quad 0x64c2ddceef03588f + .quad 0x15257390cfe12fb4 + .quad 0x6c668b4d44e4d390 + .quad 0x3b48cf217a78820c + .quad 0xf76a0ab281273e97 + .quad 0xa96c65a78c8eed7b + .quad 0x7411a6054f8a433f + + // 2^120 * 6 * G + + .quad 0x4d659d32b99dc86d + .quad 0x044cdc75603af115 + .quad 0xb34c712cdcc2e488 + .quad 0x7c136574fb8134ff + .quad 0x579ae53d18b175b4 + .quad 0x68713159f392a102 + .quad 0x8455ecba1eef35f5 + .quad 0x1ec9a872458c398f + .quad 0xb8e6a4d400a2509b + .quad 0x9b81d7020bc882b4 + .quad 0x57e7cc9bf1957561 + .quad 0x3add88a5c7cd6460 + + // 2^120 * 7 * G + + .quad 0xab895770b635dcf2 + .quad 0x02dfef6cf66c1fbc + .quad 0x85530268beb6d187 + .quad 0x249929fccc879e74 + .quad 0x85c298d459393046 + .quad 0x8f7e35985ff659ec + .quad 0x1d2ca22af2f66e3a + .quad 0x61ba1131a406a720 + .quad 0xa3d0a0f116959029 + .quad 0x023b6b6cba7ebd89 + .quad 0x7bf15a3e26783307 + .quad 0x5620310cbbd8ece7 + + // 2^120 * 8 * G + + .quad 0x528993434934d643 + .quad 0xb9dbf806a51222f5 + .quad 0x8f6d878fc3f41c22 + .quad 0x37676a2a4d9d9730 + .quad 0x6646b5f477e285d6 + .quad 0x40e8ff676c8f6193 + .quad 0xa6ec7311abb594dd + .quad 0x7ec846f3658cec4d + .quad 0x9b5e8f3f1da22ec7 + .quad 0x130f1d776c01cd13 + .quad 0x214c8fcfa2989fb8 + .quad 0x6daaf723399b9dd5 + + // 2^124 * 1 * G + + .quad 0x591e4a5610628564 + .quad 0x2a4bb87ca8b4df34 + .quad 0xde2a2572e7a38e43 + .quad 0x3cbdabd9fee5046e + .quad 0x81aebbdd2cd13070 + .quad 0x962e4325f85a0e9e + .quad 0xde9391aacadffecb + .quad 0x53177fda52c230e6 + .quad 0xa7bc970650b9de79 + .quad 0x3d12a7fbc301b59b + .quad 0x02652e68d36ae38c + .quad 0x79d739835a6199dc + + // 2^124 * 2 * G + + .quad 0xd9354df64131c1bd + .quad 0x758094a186ec5822 + .quad 0x4464ee12e459f3c2 + .quad 0x6c11fce4cb133282 + .quad 0x21c9d9920d591737 + .quad 0x9bea41d2e9b46cd6 + .quad 0xe20e84200d89bfca + .quad 0x79d99f946eae5ff8 + .quad 0xf17b483568673205 + .quad 0x387deae83caad96c + .quad 0x61b471fd56ffe386 + .quad 0x31741195b745a599 + + // 2^124 * 3 * G + + .quad 0xe8d10190b77a360b + .quad 0x99b983209995e702 + .quad 0xbd4fdff8fa0247aa + .quad 0x2772e344e0d36a87 + .quad 0x17f8ba683b02a047 + .quad 0x50212096feefb6c8 + .quad 0x70139be21556cbe2 + .quad 0x203e44a11d98915b + .quad 0xd6863eba37b9e39f + .quad 0x105bc169723b5a23 + .quad 0x104f6459a65c0762 + .quad 0x567951295b4d38d4 + + // 2^124 * 4 * G + + .quad 0x535fd60613037524 + .quad 0xe210adf6b0fbc26a + .quad 0xac8d0a9b23e990ae + .quad 0x47204d08d72fdbf9 + .quad 0x07242eb30d4b497f + .quad 0x1ef96306b9bccc87 + .quad 0x37950934d8116f45 + .quad 0x05468d6201405b04 + .quad 0x00f565a9f93267de + .quad 0xcecfd78dc0d58e8a + .quad 0xa215e2dcf318e28e + .quad 0x4599ee919b633352 + + // 2^124 * 5 * G + + .quad 0xd3c220ca70e0e76b + .quad 0xb12bea58ea9f3094 + .quad 0x294ddec8c3271282 + .quad 0x0c3539e1a1d1d028 + .quad 0xac746d6b861ae579 + .quad 0x31ab0650f6aea9dc + .quad 0x241d661140256d4c + .quad 0x2f485e853d21a5de + .quad 0x329744839c0833f3 + .quad 0x6fe6257fd2abc484 + .quad 0x5327d1814b358817 + .quad 0x65712585893fe9bc + + // 2^124 * 6 * G + + .quad 0x9c102fb732a61161 + .quad 0xe48e10dd34d520a8 + .quad 0x365c63546f9a9176 + .quad 0x32f6fe4c046f6006 + .quad 0x81c29f1bd708ee3f + .quad 0xddcb5a05ae6407d0 + .quad 0x97aec1d7d2a3eba7 + .quad 0x1590521a91d50831 + .quad 0x40a3a11ec7910acc + .quad 0x9013dff8f16d27ae + .quad 0x1a9720d8abb195d4 + .quad 0x1bb9fe452ea98463 + + // 2^124 * 7 * G + + .quad 0xe9d1d950b3d54f9e + .quad 0x2d5f9cbee00d33c1 + .quad 0x51c2c656a04fc6ac + .quad 0x65c091ee3c1cbcc9 + .quad 0xcf5e6c95cc36747c + .quad 0x294201536b0bc30d + .quad 0x453ac67cee797af0 + .quad 0x5eae6ab32a8bb3c9 + .quad 0x7083661114f118ea + .quad 0x2b37b87b94349cad + .quad 0x7273f51cb4e99f40 + .quad 0x78a2a95823d75698 + + // 2^124 * 8 * G + + .quad 0xa2b072e95c8c2ace + .quad 0x69cffc96651e9c4b + .quad 0x44328ef842e7b42b + .quad 0x5dd996c122aadeb3 + .quad 0xb4f23c425ef83207 + .quad 0xabf894d3c9a934b5 + .quad 0xd0708c1339fd87f7 + .quad 0x1876789117166130 + .quad 0x925b5ef0670c507c + .quad 0x819bc842b93c33bf + .quad 0x10792e9a70dd003f + .quad 0x59ad4b7a6e28dc74 + + // 2^128 * 1 * G + + .quad 0x5f3a7562eb3dbe47 + .quad 0xf7ea38548ebda0b8 + .quad 0x00c3e53145747299 + .quad 0x1304e9e71627d551 + .quad 0x583b04bfacad8ea2 + .quad 0x29b743e8148be884 + .quad 0x2b1e583b0810c5db + .quad 0x2b5449e58eb3bbaa + .quad 0x789814d26adc9cfe + .quad 0x3c1bab3f8b48dd0b + .quad 0xda0fe1fff979c60a + .quad 0x4468de2d7c2dd693 + + // 2^128 * 2 * G + + .quad 0x51bb355e9419469e + .quad 0x33e6dc4c23ddc754 + .quad 0x93a5b6d6447f9962 + .quad 0x6cce7c6ffb44bd63 + .quad 0x4b9ad8c6f86307ce + .quad 0x21113531435d0c28 + .quad 0xd4a866c5657a772c + .quad 0x5da6427e63247352 + .quad 0x1a94c688deac22ca + .quad 0xb9066ef7bbae1ff8 + .quad 0x88ad8c388d59580f + .quad 0x58f29abfe79f2ca8 + + // 2^128 * 3 * G + + .quad 0xe90ecfab8de73e68 + .quad 0x54036f9f377e76a5 + .quad 0xf0495b0bbe015982 + .quad 0x577629c4a7f41e36 + .quad 0x4b5a64bf710ecdf6 + .quad 0xb14ce538462c293c + .quad 0x3643d056d50b3ab9 + .quad 0x6af93724185b4870 + .quad 0x3220024509c6a888 + .quad 0xd2e036134b558973 + .quad 0x83e236233c33289f + .quad 0x701f25bb0caec18f + + // 2^128 * 4 * G + + .quad 0xc3a8b0f8e4616ced + .quad 0xf700660e9e25a87d + .quad 0x61e3061ff4bca59c + .quad 0x2e0c92bfbdc40be9 + .quad 0x9d18f6d97cbec113 + .quad 0x844a06e674bfdbe4 + .quad 0x20f5b522ac4e60d6 + .quad 0x720a5bc050955e51 + .quad 0x0c3f09439b805a35 + .quad 0xe84e8b376242abfc + .quad 0x691417f35c229346 + .quad 0x0e9b9cbb144ef0ec + + // 2^128 * 5 * G + + .quad 0xfbbad48ffb5720ad + .quad 0xee81916bdbf90d0e + .quad 0xd4813152635543bf + .quad 0x221104eb3f337bd8 + .quad 0x8dee9bd55db1beee + .quad 0xc9c3ab370a723fb9 + .quad 0x44a8f1bf1c68d791 + .quad 0x366d44191cfd3cde + .quad 0x9e3c1743f2bc8c14 + .quad 0x2eda26fcb5856c3b + .quad 0xccb82f0e68a7fb97 + .quad 0x4167a4e6bc593244 + + // 2^128 * 6 * G + + .quad 0x643b9d2876f62700 + .quad 0x5d1d9d400e7668eb + .quad 0x1b4b430321fc0684 + .quad 0x7938bb7e2255246a + .quad 0xc2be2665f8ce8fee + .quad 0xe967ff14e880d62c + .quad 0xf12e6e7e2f364eee + .quad 0x34b33370cb7ed2f6 + .quad 0xcdc591ee8681d6cc + .quad 0xce02109ced85a753 + .quad 0xed7485c158808883 + .quad 0x1176fc6e2dfe65e4 + + // 2^128 * 7 * G + + .quad 0xb4af6cd05b9c619b + .quad 0x2ddfc9f4b2a58480 + .quad 0x3d4fa502ebe94dc4 + .quad 0x08fc3a4c677d5f34 + .quad 0xdb90e28949770eb8 + .quad 0x98fbcc2aacf440a3 + .quad 0x21354ffeded7879b + .quad 0x1f6a3e54f26906b6 + .quad 0x60a4c199d30734ea + .quad 0x40c085b631165cd6 + .quad 0xe2333e23f7598295 + .quad 0x4f2fad0116b900d1 + + // 2^128 * 8 * G + + .quad 0x44beb24194ae4e54 + .quad 0x5f541c511857ef6c + .quad 0xa61e6b2d368d0498 + .quad 0x445484a4972ef7ab + .quad 0x962cd91db73bb638 + .quad 0xe60577aafc129c08 + .quad 0x6f619b39f3b61689 + .quad 0x3451995f2944ee81 + .quad 0x9152fcd09fea7d7c + .quad 0x4a816c94b0935cf6 + .quad 0x258e9aaa47285c40 + .quad 0x10b89ca6042893b7 + + // 2^132 * 1 * G + + .quad 0x9b2a426e3b646025 + .quad 0x32127190385ce4cf + .quad 0xa25cffc2dd6dea45 + .quad 0x06409010bea8de75 + .quad 0xd67cded679d34aa0 + .quad 0xcc0b9ec0cc4db39f + .quad 0xa535a456e35d190f + .quad 0x2e05d9eaf61f6fef + .quad 0xc447901ad61beb59 + .quad 0x661f19bce5dc880a + .quad 0x24685482b7ca6827 + .quad 0x293c778cefe07f26 + + // 2^132 * 2 * G + + .quad 0x86809e7007069096 + .quad 0xaad75b15e4e50189 + .quad 0x07f35715a21a0147 + .quad 0x0487f3f112815d5e + .quad 0x16c795d6a11ff200 + .quad 0xcb70d0e2b15815c9 + .quad 0x89f293209b5395b5 + .quad 0x50b8c2d031e47b4f + .quad 0x48350c08068a4962 + .quad 0x6ffdd05351092c9a + .quad 0x17af4f4aaf6fc8dd + .quad 0x4b0553b53cdba58b + + // 2^132 * 3 * G + + .quad 0x9c65fcbe1b32ff79 + .quad 0xeb75ea9f03b50f9b + .quad 0xfced2a6c6c07e606 + .quad 0x35106cd551717908 + .quad 0xbf05211b27c152d4 + .quad 0x5ec26849bd1af639 + .quad 0x5e0b2caa8e6fab98 + .quad 0x054c8bdd50bd0840 + .quad 0x38a0b12f1dcf073d + .quad 0x4b60a8a3b7f6a276 + .quad 0xfed5ac25d3404f9a + .quad 0x72e82d5e5505c229 + + // 2^132 * 4 * G + + .quad 0x6b0b697ff0d844c8 + .quad 0xbb12f85cd979cb49 + .quad 0xd2a541c6c1da0f1f + .quad 0x7b7c242958ce7211 + .quad 0x00d9cdfd69771d02 + .quad 0x410276cd6cfbf17e + .quad 0x4c45306c1cb12ec7 + .quad 0x2857bf1627500861 + .quad 0x9f21903f0101689e + .quad 0xd779dfd3bf861005 + .quad 0xa122ee5f3deb0f1b + .quad 0x510df84b485a00d4 + + // 2^132 * 5 * G + + .quad 0xa54133bb9277a1fa + .quad 0x74ec3b6263991237 + .quad 0x1a3c54dc35d2f15a + .quad 0x2d347144e482ba3a + .quad 0x24b3c887c70ac15e + .quad 0xb0f3a557fb81b732 + .quad 0x9b2cde2fe578cc1b + .quad 0x4cf7ed0703b54f8e + .quad 0x6bd47c6598fbee0f + .quad 0x9e4733e2ab55be2d + .quad 0x1093f624127610c5 + .quad 0x4e05e26ad0a1eaa4 + + // 2^132 * 6 * G + + .quad 0xda9b6b624b531f20 + .quad 0x429a760e77509abb + .quad 0xdbe9f522e823cb80 + .quad 0x618f1856880c8f82 + .quad 0x1833c773e18fe6c0 + .quad 0xe3c4711ad3c87265 + .quad 0x3bfd3c4f0116b283 + .quad 0x1955875eb4cd4db8 + .quad 0x6da6de8f0e399799 + .quad 0x7ad61aa440fda178 + .quad 0xb32cd8105e3563dd + .quad 0x15f6beae2ae340ae + + // 2^132 * 7 * G + + .quad 0x862bcb0c31ec3a62 + .quad 0x810e2b451138f3c2 + .quad 0x788ec4b839dac2a4 + .quad 0x28f76867ae2a9281 + .quad 0xba9a0f7b9245e215 + .quad 0xf368612dd98c0dbb + .quad 0x2e84e4cbf220b020 + .quad 0x6ba92fe962d90eda + .quad 0x3e4df9655884e2aa + .quad 0xbd62fbdbdbd465a5 + .quad 0xd7596caa0de9e524 + .quad 0x6e8042ccb2b1b3d7 + + // 2^132 * 8 * G + + .quad 0xf10d3c29ce28ca6e + .quad 0xbad34540fcb6093d + .quad 0xe7426ed7a2ea2d3f + .quad 0x08af9d4e4ff298b9 + .quad 0x1530653616521f7e + .quad 0x660d06b896203dba + .quad 0x2d3989bc545f0879 + .quad 0x4b5303af78ebd7b0 + .quad 0x72f8a6c3bebcbde8 + .quad 0x4f0fca4adc3a8e89 + .quad 0x6fa9d4e8c7bfdf7a + .quad 0x0dcf2d679b624eb7 + + // 2^136 * 1 * G + + .quad 0x3d5947499718289c + .quad 0x12ebf8c524533f26 + .quad 0x0262bfcb14c3ef15 + .quad 0x20b878d577b7518e + .quad 0x753941be5a45f06e + .quad 0xd07caeed6d9c5f65 + .quad 0x11776b9c72ff51b6 + .quad 0x17d2d1d9ef0d4da9 + .quad 0x27f2af18073f3e6a + .quad 0xfd3fe519d7521069 + .quad 0x22e3b72c3ca60022 + .quad 0x72214f63cc65c6a7 + + // 2^136 * 2 * G + + .quad 0xb4e37f405307a693 + .quad 0xaba714d72f336795 + .quad 0xd6fbd0a773761099 + .quad 0x5fdf48c58171cbc9 + .quad 0x1d9db7b9f43b29c9 + .quad 0xd605824a4f518f75 + .quad 0xf2c072bd312f9dc4 + .quad 0x1f24ac855a1545b0 + .quad 0x24d608328e9505aa + .quad 0x4748c1d10c1420ee + .quad 0xc7ffe45c06fb25a2 + .quad 0x00ba739e2ae395e6 + + // 2^136 * 3 * G + + .quad 0x592e98de5c8790d6 + .quad 0xe5bfb7d345c2a2df + .quad 0x115a3b60f9b49922 + .quad 0x03283a3e67ad78f3 + .quad 0xae4426f5ea88bb26 + .quad 0x360679d984973bfb + .quad 0x5c9f030c26694e50 + .quad 0x72297de7d518d226 + .quad 0x48241dc7be0cb939 + .quad 0x32f19b4d8b633080 + .quad 0xd3dfc90d02289308 + .quad 0x05e1296846271945 + + // 2^136 * 4 * G + + .quad 0xba82eeb32d9c495a + .quad 0xceefc8fcf12bb97c + .quad 0xb02dabae93b5d1e0 + .quad 0x39c00c9c13698d9b + .quad 0xadbfbbc8242c4550 + .quad 0xbcc80cecd03081d9 + .quad 0x843566a6f5c8df92 + .quad 0x78cf25d38258ce4c + .quad 0x15ae6b8e31489d68 + .quad 0xaa851cab9c2bf087 + .quad 0xc9a75a97f04efa05 + .quad 0x006b52076b3ff832 + + // 2^136 * 5 * G + + .quad 0x29e0cfe19d95781c + .quad 0xb681df18966310e2 + .quad 0x57df39d370516b39 + .quad 0x4d57e3443bc76122 + .quad 0xf5cb7e16b9ce082d + .quad 0x3407f14c417abc29 + .quad 0xd4b36bce2bf4a7ab + .quad 0x7de2e9561a9f75ce + .quad 0xde70d4f4b6a55ecb + .quad 0x4801527f5d85db99 + .quad 0xdbc9c440d3ee9a81 + .quad 0x6b2a90af1a6029ed + + // 2^136 * 6 * G + + .quad 0x6923f4fc9ae61e97 + .quad 0x5735281de03f5fd1 + .quad 0xa764ae43e6edd12d + .quad 0x5fd8f4e9d12d3e4a + .quad 0x77ebf3245bb2d80a + .quad 0xd8301b472fb9079b + .quad 0xc647e6f24cee7333 + .quad 0x465812c8276c2109 + .quad 0x4d43beb22a1062d9 + .quad 0x7065fb753831dc16 + .quad 0x180d4a7bde2968d7 + .quad 0x05b32c2b1cb16790 + + // 2^136 * 7 * G + + .quad 0xc8c05eccd24da8fd + .quad 0xa1cf1aac05dfef83 + .quad 0xdbbeeff27df9cd61 + .quad 0x3b5556a37b471e99 + .quad 0xf7fca42c7ad58195 + .quad 0x3214286e4333f3cc + .quad 0xb6c29d0d340b979d + .quad 0x31771a48567307e1 + .quad 0x32b0c524e14dd482 + .quad 0xedb351541a2ba4b6 + .quad 0xa3d16048282b5af3 + .quad 0x4fc079d27a7336eb + + // 2^136 * 8 * G + + .quad 0x51c938b089bf2f7f + .quad 0x2497bd6502dfe9a7 + .quad 0xffffc09c7880e453 + .quad 0x124567cecaf98e92 + .quad 0xdc348b440c86c50d + .quad 0x1337cbc9cc94e651 + .quad 0x6422f74d643e3cb9 + .quad 0x241170c2bae3cd08 + .quad 0x3ff9ab860ac473b4 + .quad 0xf0911dee0113e435 + .quad 0x4ae75060ebc6c4af + .quad 0x3f8612966c87000d + + // 2^140 * 1 * G + + .quad 0x0c9c5303f7957be4 + .quad 0xa3c31a20e085c145 + .quad 0xb0721d71d0850050 + .quad 0x0aba390eab0bf2da + .quad 0x529fdffe638c7bf3 + .quad 0xdf2b9e60388b4995 + .quad 0xe027b34f1bad0249 + .quad 0x7bc92fc9b9fa74ed + .quad 0x9f97ef2e801ad9f9 + .quad 0x83697d5479afda3a + .quad 0xe906b3ffbd596b50 + .quad 0x02672b37dd3fb8e0 + + // 2^140 * 2 * G + + .quad 0x48b2ca8b260885e4 + .quad 0xa4286bec82b34c1c + .quad 0x937e1a2617f58f74 + .quad 0x741d1fcbab2ca2a5 + .quad 0xee9ba729398ca7f5 + .quad 0xeb9ca6257a4849db + .quad 0x29eb29ce7ec544e1 + .quad 0x232ca21ef736e2c8 + .quad 0xbf61423d253fcb17 + .quad 0x08803ceafa39eb14 + .quad 0xf18602df9851c7af + .quad 0x0400f3a049e3414b + + // 2^140 * 3 * G + + .quad 0xabce0476ba61c55b + .quad 0x36a3d6d7c4d39716 + .quad 0x6eb259d5e8d82d09 + .quad 0x0c9176e984d756fb + .quad 0x2efba412a06e7b06 + .quad 0x146785452c8d2560 + .quad 0xdf9713ebd67a91c7 + .quad 0x32830ac7157eadf3 + .quad 0x0e782a7ab73769e8 + .quad 0x04a05d7875b18e2c + .quad 0x29525226ebcceae1 + .quad 0x0d794f8383eba820 + + // 2^140 * 4 * G + + .quad 0xff35f5cb9e1516f4 + .quad 0xee805bcf648aae45 + .quad 0xf0d73c2bb93a9ef3 + .quad 0x097b0bf22092a6c2 + .quad 0x7be44ce7a7a2e1ac + .quad 0x411fd93efad1b8b7 + .quad 0x1734a1d70d5f7c9b + .quad 0x0d6592233127db16 + .quad 0xc48bab1521a9d733 + .quad 0xa6c2eaead61abb25 + .quad 0x625c6c1cc6cb4305 + .quad 0x7fc90fea93eb3a67 + + // 2^140 * 5 * G + + .quad 0x0408f1fe1f5c5926 + .quad 0x1a8f2f5e3b258bf4 + .quad 0x40a951a2fdc71669 + .quad 0x6598ee93c98b577e + .quad 0xc527deb59c7cb23d + .quad 0x955391695328404e + .quad 0xd64392817ccf2c7a + .quad 0x6ce97dabf7d8fa11 + .quad 0x25b5a8e50ef7c48f + .quad 0xeb6034116f2ce532 + .quad 0xc5e75173e53de537 + .quad 0x73119fa08c12bb03 + + // 2^140 * 6 * G + + .quad 0xed30129453f1a4cb + .quad 0xbce621c9c8f53787 + .quad 0xfacb2b1338bee7b9 + .quad 0x3025798a9ea8428c + .quad 0x7845b94d21f4774d + .quad 0xbf62f16c7897b727 + .quad 0x671857c03c56522b + .quad 0x3cd6a85295621212 + .quad 0x3fecde923aeca999 + .quad 0xbdaa5b0062e8c12f + .quad 0x67b99dfc96988ade + .quad 0x3f52c02852661036 + + // 2^140 * 7 * G + + .quad 0xffeaa48e2a1351c6 + .quad 0x28624754fa7f53d7 + .quad 0x0b5ba9e57582ddf1 + .quad 0x60c0104ba696ac59 + .quad 0x9258bf99eec416c6 + .quad 0xac8a5017a9d2f671 + .quad 0x629549ab16dea4ab + .quad 0x05d0e85c99091569 + .quad 0x051de020de9cbe97 + .quad 0xfa07fc56b50bcf74 + .quad 0x378cec9f0f11df65 + .quad 0x36853c69ab96de4d + + // 2^140 * 8 * G + + .quad 0x36d9b8de78f39b2d + .quad 0x7f42ed71a847b9ec + .quad 0x241cd1d679bd3fde + .quad 0x6a704fec92fbce6b + .quad 0x4433c0b0fac5e7be + .quad 0x724bae854c08dcbe + .quad 0xf1f24cc446978f9b + .quad 0x4a0aff6d62825fc8 + .quad 0xe917fb9e61095301 + .quad 0xc102df9402a092f8 + .quad 0xbf09e2f5fa66190b + .quad 0x681109bee0dcfe37 + + // 2^144 * 1 * G + + .quad 0x559a0cc9782a0dde + .quad 0x551dcdb2ea718385 + .quad 0x7f62865b31ef238c + .quad 0x504aa7767973613d + .quad 0x9c18fcfa36048d13 + .quad 0x29159db373899ddd + .quad 0xdc9f350b9f92d0aa + .quad 0x26f57eee878a19d4 + .quad 0x0cab2cd55687efb1 + .quad 0x5180d162247af17b + .quad 0x85c15a344f5a2467 + .quad 0x4041943d9dba3069 + + // 2^144 * 2 * G + + .quad 0xc3c0eeba43ebcc96 + .quad 0x8d749c9c26ea9caf + .quad 0xd9fa95ee1c77ccc6 + .quad 0x1420a1d97684340f + .quad 0x4b217743a26caadd + .quad 0x47a6b424648ab7ce + .quad 0xcb1d4f7a03fbc9e3 + .quad 0x12d931429800d019 + .quad 0x00c67799d337594f + .quad 0x5e3c5140b23aa47b + .quad 0x44182854e35ff395 + .quad 0x1b4f92314359a012 + + // 2^144 * 3 * G + + .quad 0x3e5c109d89150951 + .quad 0x39cefa912de9696a + .quad 0x20eae43f975f3020 + .quad 0x239b572a7f132dae + .quad 0x33cf3030a49866b1 + .quad 0x251f73d2215f4859 + .quad 0xab82aa4051def4f6 + .quad 0x5ff191d56f9a23f6 + .quad 0x819ed433ac2d9068 + .quad 0x2883ab795fc98523 + .quad 0xef4572805593eb3d + .quad 0x020c526a758f36cb + + // 2^144 * 4 * G + + .quad 0x779834f89ed8dbbc + .quad 0xc8f2aaf9dc7ca46c + .quad 0xa9524cdca3e1b074 + .quad 0x02aacc4615313877 + .quad 0xe931ef59f042cc89 + .quad 0x2c589c9d8e124bb6 + .quad 0xadc8e18aaec75997 + .quad 0x452cfe0a5602c50c + .quad 0x86a0f7a0647877df + .quad 0xbbc464270e607c9f + .quad 0xab17ea25f1fb11c9 + .quad 0x4cfb7d7b304b877b + + // 2^144 * 5 * G + + .quad 0x72b43d6cb89b75fe + .quad 0x54c694d99c6adc80 + .quad 0xb8c3aa373ee34c9f + .quad 0x14b4622b39075364 + .quad 0xe28699c29789ef12 + .quad 0x2b6ecd71df57190d + .quad 0xc343c857ecc970d0 + .quad 0x5b1d4cbc434d3ac5 + .quad 0xb6fb2615cc0a9f26 + .quad 0x3a4f0e2bb88dcce5 + .quad 0x1301498b3369a705 + .quad 0x2f98f71258592dd1 + + // 2^144 * 6 * G + + .quad 0x0c94a74cb50f9e56 + .quad 0x5b1ff4a98e8e1320 + .quad 0x9a2acc2182300f67 + .quad 0x3a6ae249d806aaf9 + .quad 0x2e12ae444f54a701 + .quad 0xfcfe3ef0a9cbd7de + .quad 0xcebf890d75835de0 + .quad 0x1d8062e9e7614554 + .quad 0x657ada85a9907c5a + .quad 0x1a0ea8b591b90f62 + .quad 0x8d0e1dfbdf34b4e9 + .quad 0x298b8ce8aef25ff3 + + // 2^144 * 7 * G + + .quad 0x2a927953eff70cb2 + .quad 0x4b89c92a79157076 + .quad 0x9418457a30a7cf6a + .quad 0x34b8a8404d5ce485 + .quad 0x837a72ea0a2165de + .quad 0x3fab07b40bcf79f6 + .quad 0x521636c77738ae70 + .quad 0x6ba6271803a7d7dc + .quad 0xc26eecb583693335 + .quad 0xd5a813df63b5fefd + .quad 0xa293aa9aa4b22573 + .quad 0x71d62bdd465e1c6a + + // 2^144 * 8 * G + + .quad 0x6533cc28d378df80 + .quad 0xf6db43790a0fa4b4 + .quad 0xe3645ff9f701da5a + .quad 0x74d5f317f3172ba4 + .quad 0xcd2db5dab1f75ef5 + .quad 0xd77f95cf16b065f5 + .quad 0x14571fea3f49f085 + .quad 0x1c333621262b2b3d + .quad 0xa86fe55467d9ca81 + .quad 0x398b7c752b298c37 + .quad 0xda6d0892e3ac623b + .quad 0x4aebcc4547e9d98c + + // 2^148 * 1 * G + + .quad 0x53175a7205d21a77 + .quad 0xb0c04422d3b934d4 + .quad 0xadd9f24bdd5deadc + .quad 0x074f46e69f10ff8c + .quad 0x0de9b204a059a445 + .quad 0xe15cb4aa4b17ad0f + .quad 0xe1bbec521f79c557 + .quad 0x2633f1b9d071081b + .quad 0xc1fb4177018b9910 + .quad 0xa6ea20dc6c0fe140 + .quad 0xd661f3e74354c6ff + .quad 0x5ecb72e6f1a3407a + + // 2^148 * 2 * G + + .quad 0xa515a31b2259fb4e + .quad 0x0960f3972bcac52f + .quad 0xedb52fec8d3454cb + .quad 0x382e2720c476c019 + .quad 0xfeeae106e8e86997 + .quad 0x9863337f98d09383 + .quad 0x9470480eaa06ebef + .quad 0x038b6898d4c5c2d0 + .quad 0xf391c51d8ace50a6 + .quad 0x3142d0b9ae2d2948 + .quad 0xdb4d5a1a7f24ca80 + .quad 0x21aeba8b59250ea8 + + // 2^148 * 3 * G + + .quad 0x24f13b34cf405530 + .quad 0x3c44ea4a43088af7 + .quad 0x5dd5c5170006a482 + .quad 0x118eb8f8890b086d + .quad 0x53853600f0087f23 + .quad 0x4c461879da7d5784 + .quad 0x6af303deb41f6860 + .quad 0x0a3c16c5c27c18ed + .quad 0x17e49c17cc947f3d + .quad 0xccc6eda6aac1d27b + .quad 0xdf6092ceb0f08e56 + .quad 0x4909b3e22c67c36b + + // 2^148 * 4 * G + + .quad 0x9c9c85ea63fe2e89 + .quad 0xbe1baf910e9412ec + .quad 0x8f7baa8a86fbfe7b + .quad 0x0fb17f9fef968b6c + .quad 0x59a16676706ff64e + .quad 0x10b953dd0d86a53d + .quad 0x5848e1e6ce5c0b96 + .quad 0x2d8b78e712780c68 + .quad 0x79d5c62eafc3902b + .quad 0x773a215289e80728 + .quad 0xc38ae640e10120b9 + .quad 0x09ae23717b2b1a6d + + // 2^148 * 5 * G + + .quad 0xbb6a192a4e4d083c + .quad 0x34ace0630029e192 + .quad 0x98245a59aafabaeb + .quad 0x6d9c8a9ada97faac + .quad 0x10ab8fa1ad32b1d0 + .quad 0xe9aced1be2778b24 + .quad 0xa8856bc0373de90f + .quad 0x66f35ddddda53996 + .quad 0xd27d9afb24997323 + .quad 0x1bb7e07ef6f01d2e + .quad 0x2ba7472df52ecc7f + .quad 0x03019b4f646f9dc8 + + // 2^148 * 6 * G + + .quad 0x04a186b5565345cd + .quad 0xeee76610bcc4116a + .quad 0x689c73b478fb2a45 + .quad 0x387dcbff65697512 + .quad 0xaf09b214e6b3dc6b + .quad 0x3f7573b5ad7d2f65 + .quad 0xd019d988100a23b0 + .quad 0x392b63a58b5c35f7 + .quad 0x4093addc9c07c205 + .quad 0xc565be15f532c37e + .quad 0x63dbecfd1583402a + .quad 0x61722b4aef2e032e + + // 2^148 * 7 * G + + .quad 0x0012aafeecbd47af + .quad 0x55a266fb1cd46309 + .quad 0xf203eb680967c72c + .quad 0x39633944ca3c1429 + .quad 0xd6b07a5581cb0e3c + .quad 0x290ff006d9444969 + .quad 0x08680b6a16dcda1f + .quad 0x5568d2b75a06de59 + .quad 0x8d0cb88c1b37cfe1 + .quad 0x05b6a5a3053818f3 + .quad 0xf2e9bc04b787d959 + .quad 0x6beba1249add7f64 + + // 2^148 * 8 * G + + .quad 0x1d06005ca5b1b143 + .quad 0x6d4c6bb87fd1cda2 + .quad 0x6ef5967653fcffe7 + .quad 0x097c29e8c1ce1ea5 + .quad 0x5c3cecb943f5a53b + .quad 0x9cc9a61d06c08df2 + .quad 0xcfba639a85895447 + .quad 0x5a845ae80df09fd5 + .quad 0x4ce97dbe5deb94ca + .quad 0x38d0a4388c709c48 + .quad 0xc43eced4a169d097 + .quad 0x0a1249fff7e587c3 + + // 2^152 * 1 * G + + .quad 0x12f0071b276d01c9 + .quad 0xe7b8bac586c48c70 + .quad 0x5308129b71d6fba9 + .quad 0x5d88fbf95a3db792 + .quad 0x0b408d9e7354b610 + .quad 0x806b32535ba85b6e + .quad 0xdbe63a034a58a207 + .quad 0x173bd9ddc9a1df2c + .quad 0x2b500f1efe5872df + .quad 0x58d6582ed43918c1 + .quad 0xe6ed278ec9673ae0 + .quad 0x06e1cd13b19ea319 + + // 2^152 * 2 * G + + .quad 0x40d0ad516f166f23 + .quad 0x118e32931fab6abe + .quad 0x3fe35e14a04d088e + .quad 0x3080603526e16266 + .quad 0x472baf629e5b0353 + .quad 0x3baa0b90278d0447 + .quad 0x0c785f469643bf27 + .quad 0x7f3a6a1a8d837b13 + .quad 0xf7e644395d3d800b + .quad 0x95a8d555c901edf6 + .quad 0x68cd7830592c6339 + .quad 0x30d0fded2e51307e + + // 2^152 * 3 * G + + .quad 0xe0594d1af21233b3 + .quad 0x1bdbe78ef0cc4d9c + .quad 0x6965187f8f499a77 + .quad 0x0a9214202c099868 + .quad 0x9cb4971e68b84750 + .quad 0xa09572296664bbcf + .quad 0x5c8de72672fa412b + .quad 0x4615084351c589d9 + .quad 0xbc9019c0aeb9a02e + .quad 0x55c7110d16034cae + .quad 0x0e6df501659932ec + .quad 0x3bca0d2895ca5dfe + + // 2^152 * 4 * G + + .quad 0x40f031bc3c5d62a4 + .quad 0x19fc8b3ecff07a60 + .quad 0x98183da2130fb545 + .quad 0x5631deddae8f13cd + .quad 0x9c688eb69ecc01bf + .quad 0xf0bc83ada644896f + .quad 0xca2d955f5f7a9fe2 + .quad 0x4ea8b4038df28241 + .quad 0x2aed460af1cad202 + .quad 0x46305305a48cee83 + .quad 0x9121774549f11a5f + .quad 0x24ce0930542ca463 + + // 2^152 * 5 * G + + .quad 0x1fe890f5fd06c106 + .quad 0xb5c468355d8810f2 + .quad 0x827808fe6e8caf3e + .quad 0x41d4e3c28a06d74b + .quad 0x3fcfa155fdf30b85 + .quad 0xd2f7168e36372ea4 + .quad 0xb2e064de6492f844 + .quad 0x549928a7324f4280 + .quad 0xf26e32a763ee1a2e + .quad 0xae91e4b7d25ffdea + .quad 0xbc3bd33bd17f4d69 + .quad 0x491b66dec0dcff6a + + // 2^152 * 6 * G + + .quad 0x98f5b13dc7ea32a7 + .quad 0xe3d5f8cc7e16db98 + .quad 0xac0abf52cbf8d947 + .quad 0x08f338d0c85ee4ac + .quad 0x75f04a8ed0da64a1 + .quad 0xed222caf67e2284b + .quad 0x8234a3791f7b7ba4 + .quad 0x4cf6b8b0b7018b67 + .quad 0xc383a821991a73bd + .quad 0xab27bc01df320c7a + .quad 0xc13d331b84777063 + .quad 0x530d4a82eb078a99 + + // 2^152 * 7 * G + + .quad 0x004c3630e1f94825 + .quad 0x7e2d78268cab535a + .quad 0xc7482323cc84ff8b + .quad 0x65ea753f101770b9 + .quad 0x6d6973456c9abf9e + .quad 0x257fb2fc4900a880 + .quad 0x2bacf412c8cfb850 + .quad 0x0db3e7e00cbfbd5b + .quad 0x3d66fc3ee2096363 + .quad 0x81d62c7f61b5cb6b + .quad 0x0fbe044213443b1a + .quad 0x02a4ec1921e1a1db + + // 2^152 * 8 * G + + .quad 0x5ce6259a3b24b8a2 + .quad 0xb8577acc45afa0b8 + .quad 0xcccbe6e88ba07037 + .quad 0x3d143c51127809bf + .quad 0xf5c86162f1cf795f + .quad 0x118c861926ee57f2 + .quad 0x172124851c063578 + .quad 0x36d12b5dec067fcf + .quad 0x126d279179154557 + .quad 0xd5e48f5cfc783a0a + .quad 0x36bdb6e8df179bac + .quad 0x2ef517885ba82859 + + // 2^156 * 1 * G + + .quad 0x88bd438cd11e0d4a + .quad 0x30cb610d43ccf308 + .quad 0xe09a0e3791937bcc + .quad 0x4559135b25b1720c + .quad 0x1ea436837c6da1e9 + .quad 0xf9c189af1fb9bdbe + .quad 0x303001fcce5dd155 + .quad 0x28a7c99ebc57be52 + .quad 0xb8fd9399e8d19e9d + .quad 0x908191cb962423ff + .quad 0xb2b948d747c742a3 + .quad 0x37f33226d7fb44c4 + + // 2^156 * 2 * G + + .quad 0x0dae8767b55f6e08 + .quad 0x4a43b3b35b203a02 + .quad 0xe3725a6e80af8c79 + .quad 0x0f7a7fd1705fa7a3 + .quad 0x33912553c821b11d + .quad 0x66ed42c241e301df + .quad 0x066fcc11104222fd + .quad 0x307a3b41c192168f + .quad 0x8eeb5d076eb55ce0 + .quad 0x2fc536bfaa0d925a + .quad 0xbe81830fdcb6c6e8 + .quad 0x556c7045827baf52 + + // 2^156 * 3 * G + + .quad 0x8e2b517302e9d8b7 + .quad 0xe3e52269248714e8 + .quad 0xbd4fbd774ca960b5 + .quad 0x6f4b4199c5ecada9 + .quad 0xb94b90022bf44406 + .quad 0xabd4237eff90b534 + .quad 0x7600a960faf86d3a + .quad 0x2f45abdac2322ee3 + .quad 0x61af4912c8ef8a6a + .quad 0xe58fa4fe43fb6e5e + .quad 0xb5afcc5d6fd427cf + .quad 0x6a5393281e1e11eb + + // 2^156 * 4 * G + + .quad 0xf3da5139a5d1ee89 + .quad 0x8145457cff936988 + .quad 0x3f622fed00e188c4 + .quad 0x0f513815db8b5a3d + .quad 0x0fff04fe149443cf + .quad 0x53cac6d9865cddd7 + .quad 0x31385b03531ed1b7 + .quad 0x5846a27cacd1039d + .quad 0x4ff5cdac1eb08717 + .quad 0x67e8b29590f2e9bc + .quad 0x44093b5e237afa99 + .quad 0x0d414bed8708b8b2 + + // 2^156 * 5 * G + + .quad 0xcfb68265fd0e75f6 + .quad 0xe45b3e28bb90e707 + .quad 0x7242a8de9ff92c7a + .quad 0x685b3201933202dd + .quad 0x81886a92294ac9e8 + .quad 0x23162b45d55547be + .quad 0x94cfbc4403715983 + .quad 0x50eb8fdb134bc401 + .quad 0xc0b73ec6d6b330cd + .quad 0x84e44807132faff1 + .quad 0x732b7352c4a5dee1 + .quad 0x5d7c7cf1aa7cd2d2 + + // 2^156 * 6 * G + + .quad 0xaf3b46bf7a4aafa2 + .quad 0xb78705ec4d40d411 + .quad 0x114f0c6aca7c15e3 + .quad 0x3f364faaa9489d4d + .quad 0x33d1013e9b73a562 + .quad 0x925cef5748ec26e1 + .quad 0xa7fce614dd468058 + .quad 0x78b0fad41e9aa438 + .quad 0xbf56a431ed05b488 + .quad 0xa533e66c9c495c7e + .quad 0xe8652baf87f3651a + .quad 0x0241800059d66c33 + + // 2^156 * 7 * G + + .quad 0xceb077fea37a5be4 + .quad 0xdb642f02e5a5eeb7 + .quad 0xc2e6d0c5471270b8 + .quad 0x4771b65538e4529c + .quad 0x28350c7dcf38ea01 + .quad 0x7c6cdbc0b2917ab6 + .quad 0xace7cfbe857082f7 + .quad 0x4d2845aba2d9a1e0 + .quad 0xbb537fe0447070de + .quad 0xcba744436dd557df + .quad 0xd3b5a3473600dbcb + .quad 0x4aeabbe6f9ffd7f8 + + // 2^156 * 8 * G + + .quad 0x4630119e40d8f78c + .quad 0xa01a9bc53c710e11 + .quad 0x486d2b258910dd79 + .quad 0x1e6c47b3db0324e5 + .quad 0x6a2134bcc4a9c8f2 + .quad 0xfbf8fd1c8ace2e37 + .quad 0x000ae3049911a0ba + .quad 0x046e3a616bc89b9e + .quad 0x14e65442f03906be + .quad 0x4a019d54e362be2a + .quad 0x68ccdfec8dc230c7 + .quad 0x7cfb7e3faf6b861c + + // 2^160 * 1 * G + + .quad 0x4637974e8c58aedc + .quad 0xb9ef22fbabf041a4 + .quad 0xe185d956e980718a + .quad 0x2f1b78fab143a8a6 + .quad 0x96eebffb305b2f51 + .quad 0xd3f938ad889596b8 + .quad 0xf0f52dc746d5dd25 + .quad 0x57968290bb3a0095 + .quad 0xf71ab8430a20e101 + .quad 0xf393658d24f0ec47 + .quad 0xcf7509a86ee2eed1 + .quad 0x7dc43e35dc2aa3e1 + + // 2^160 * 2 * G + + .quad 0x85966665887dd9c3 + .quad 0xc90f9b314bb05355 + .quad 0xc6e08df8ef2079b1 + .quad 0x7ef72016758cc12f + .quad 0x5a782a5c273e9718 + .quad 0x3576c6995e4efd94 + .quad 0x0f2ed8051f237d3e + .quad 0x044fb81d82d50a99 + .quad 0xc1df18c5a907e3d9 + .quad 0x57b3371dce4c6359 + .quad 0xca704534b201bb49 + .quad 0x7f79823f9c30dd2e + + // 2^160 * 3 * G + + .quad 0x8334d239a3b513e8 + .quad 0xc13670d4b91fa8d8 + .quad 0x12b54136f590bd33 + .quad 0x0a4e0373d784d9b4 + .quad 0x6a9c1ff068f587ba + .quad 0x0827894e0050c8de + .quad 0x3cbf99557ded5be7 + .quad 0x64a9b0431c06d6f0 + .quad 0x2eb3d6a15b7d2919 + .quad 0xb0b4f6a0d53a8235 + .quad 0x7156ce4389a45d47 + .quad 0x071a7d0ace18346c + + // 2^160 * 4 * G + + .quad 0xd3072daac887ba0b + .quad 0x01262905bfa562ee + .quad 0xcf543002c0ef768b + .quad 0x2c3bcc7146ea7e9c + .quad 0xcc0c355220e14431 + .quad 0x0d65950709b15141 + .quad 0x9af5621b209d5f36 + .quad 0x7c69bcf7617755d3 + .quad 0x07f0d7eb04e8295f + .quad 0x10db18252f50f37d + .quad 0xe951a9a3171798d7 + .quad 0x6f5a9a7322aca51d + + // 2^160 * 5 * G + + .quad 0x8ba1000c2f41c6c5 + .quad 0xc49f79c10cfefb9b + .quad 0x4efa47703cc51c9f + .quad 0x494e21a2e147afca + .quad 0xe729d4eba3d944be + .quad 0x8d9e09408078af9e + .quad 0x4525567a47869c03 + .quad 0x02ab9680ee8d3b24 + .quad 0xefa48a85dde50d9a + .quad 0x219a224e0fb9a249 + .quad 0xfa091f1dd91ef6d9 + .quad 0x6b5d76cbea46bb34 + + // 2^160 * 6 * G + + .quad 0x8857556cec0cd994 + .quad 0x6472dc6f5cd01dba + .quad 0xaf0169148f42b477 + .quad 0x0ae333f685277354 + .quad 0xe0f941171e782522 + .quad 0xf1e6ae74036936d3 + .quad 0x408b3ea2d0fcc746 + .quad 0x16fb869c03dd313e + .quad 0x288e199733b60962 + .quad 0x24fc72b4d8abe133 + .quad 0x4811f7ed0991d03e + .quad 0x3f81e38b8f70d075 + + // 2^160 * 7 * G + + .quad 0x7f910fcc7ed9affe + .quad 0x545cb8a12465874b + .quad 0xa8397ed24b0c4704 + .quad 0x50510fc104f50993 + .quad 0x0adb7f355f17c824 + .quad 0x74b923c3d74299a4 + .quad 0xd57c3e8bcbf8eaf7 + .quad 0x0ad3e2d34cdedc3d + .quad 0x6f0c0fc5336e249d + .quad 0x745ede19c331cfd9 + .quad 0xf2d6fd0009eefe1c + .quad 0x127c158bf0fa1ebe + + // 2^160 * 8 * G + + .quad 0xf6197c422e9879a2 + .quad 0xa44addd452ca3647 + .quad 0x9b413fc14b4eaccb + .quad 0x354ef87d07ef4f68 + .quad 0xdea28fc4ae51b974 + .quad 0x1d9973d3744dfe96 + .quad 0x6240680b873848a8 + .quad 0x4ed82479d167df95 + .quad 0xfee3b52260c5d975 + .quad 0x50352efceb41b0b8 + .quad 0x8808ac30a9f6653c + .quad 0x302d92d20539236d + + // 2^164 * 1 * G + + .quad 0x4c59023fcb3efb7c + .quad 0x6c2fcb99c63c2a94 + .quad 0xba4190e2c3c7e084 + .quad 0x0e545daea51874d9 + .quad 0x957b8b8b0df53c30 + .quad 0x2a1c770a8e60f098 + .quad 0xbbc7a670345796de + .quad 0x22a48f9a90c99bc9 + .quad 0x6b7dc0dc8d3fac58 + .quad 0x5497cd6ce6e42bfd + .quad 0x542f7d1bf400d305 + .quad 0x4159f47f048d9136 + + // 2^164 * 2 * G + + .quad 0x20ad660839e31e32 + .quad 0xf81e1bd58405be50 + .quad 0xf8064056f4dabc69 + .quad 0x14d23dd4ce71b975 + .quad 0x748515a8bbd24839 + .quad 0x77128347afb02b55 + .quad 0x50ba2ac649a2a17f + .quad 0x060525513ad730f1 + .quad 0xf2398e098aa27f82 + .quad 0x6d7982bb89a1b024 + .quad 0xfa694084214dd24c + .quad 0x71ab966fa32301c3 + + // 2^164 * 3 * G + + .quad 0x2dcbd8e34ded02fc + .quad 0x1151f3ec596f22aa + .quad 0xbca255434e0328da + .quad 0x35768fbe92411b22 + .quad 0xb1088a0702809955 + .quad 0x43b273ea0b43c391 + .quad 0xca9b67aefe0686ed + .quad 0x605eecbf8335f4ed + .quad 0x83200a656c340431 + .quad 0x9fcd71678ee59c2f + .quad 0x75d4613f71300f8a + .quad 0x7a912faf60f542f9 + + // 2^164 * 4 * G + + .quad 0xb204585e5edc1a43 + .quad 0x9f0e16ee5897c73c + .quad 0x5b82c0ae4e70483c + .quad 0x624a170e2bddf9be + .quad 0x253f4f8dfa2d5597 + .quad 0x25e49c405477130c + .quad 0x00c052e5996b1102 + .quad 0x33cb966e33bb6c4a + .quad 0x597028047f116909 + .quad 0x828ac41c1e564467 + .quad 0x70417dbde6217387 + .quad 0x721627aefbac4384 + + // 2^164 * 5 * G + + .quad 0x97d03bc38736add5 + .quad 0x2f1422afc532b130 + .quad 0x3aa68a057101bbc4 + .quad 0x4c946cf7e74f9fa7 + .quad 0xfd3097bc410b2f22 + .quad 0xf1a05da7b5cfa844 + .quad 0x61289a1def57ca74 + .quad 0x245ea199bb821902 + .quad 0xaedca66978d477f8 + .quad 0x1898ba3c29117fe1 + .quad 0xcf73f983720cbd58 + .quad 0x67da12e6b8b56351 + + // 2^164 * 6 * G + + .quad 0x7067e187b4bd6e07 + .quad 0x6e8f0203c7d1fe74 + .quad 0x93c6aa2f38c85a30 + .quad 0x76297d1f3d75a78a + .quad 0x2b7ef3d38ec8308c + .quad 0x828fd7ec71eb94ab + .quad 0x807c3b36c5062abd + .quad 0x0cb64cb831a94141 + .quad 0x3030fc33534c6378 + .quad 0xb9635c5ce541e861 + .quad 0x15d9a9bed9b2c728 + .quad 0x49233ea3f3775dcb + + // 2^164 * 7 * G + + .quad 0x629398fa8dbffc3a + .quad 0xe12fe52dd54db455 + .quad 0xf3be11dfdaf25295 + .quad 0x628b140dce5e7b51 + .quad 0x7b3985fe1c9f249b + .quad 0x4fd6b2d5a1233293 + .quad 0xceb345941adf4d62 + .quad 0x6987ff6f542de50c + .quad 0x47e241428f83753c + .quad 0x6317bebc866af997 + .quad 0xdabb5b433d1a9829 + .quad 0x074d8d245287fb2d + + // 2^164 * 8 * G + + .quad 0x8337d9cd440bfc31 + .quad 0x729d2ca1af318fd7 + .quad 0xa040a4a4772c2070 + .quad 0x46002ef03a7349be + .quad 0x481875c6c0e31488 + .quad 0x219429b2e22034b4 + .quad 0x7223c98a31283b65 + .quad 0x3420d60b342277f9 + .quad 0xfaa23adeaffe65f7 + .quad 0x78261ed45be0764c + .quad 0x441c0a1e2f164403 + .quad 0x5aea8e567a87d395 + + // 2^168 * 1 * G + + .quad 0x7813c1a2bca4283d + .quad 0xed62f091a1863dd9 + .quad 0xaec7bcb8c268fa86 + .quad 0x10e5d3b76f1cae4c + .quad 0x2dbc6fb6e4e0f177 + .quad 0x04e1bf29a4bd6a93 + .quad 0x5e1966d4787af6e8 + .quad 0x0edc5f5eb426d060 + .quad 0x5453bfd653da8e67 + .quad 0xe9dc1eec24a9f641 + .quad 0xbf87263b03578a23 + .quad 0x45b46c51361cba72 + + // 2^168 * 2 * G + + .quad 0xa9402abf314f7fa1 + .quad 0xe257f1dc8e8cf450 + .quad 0x1dbbd54b23a8be84 + .quad 0x2177bfa36dcb713b + .quad 0xce9d4ddd8a7fe3e4 + .quad 0xab13645676620e30 + .quad 0x4b594f7bb30e9958 + .quad 0x5c1c0aef321229df + .quad 0x37081bbcfa79db8f + .quad 0x6048811ec25f59b3 + .quad 0x087a76659c832487 + .quad 0x4ae619387d8ab5bb + + // 2^168 * 3 * G + + .quad 0x8ddbf6aa5344a32e + .quad 0x7d88eab4b41b4078 + .quad 0x5eb0eb974a130d60 + .quad 0x1a00d91b17bf3e03 + .quad 0x61117e44985bfb83 + .quad 0xfce0462a71963136 + .quad 0x83ac3448d425904b + .quad 0x75685abe5ba43d64 + .quad 0x6e960933eb61f2b2 + .quad 0x543d0fa8c9ff4952 + .quad 0xdf7275107af66569 + .quad 0x135529b623b0e6aa + + // 2^168 * 4 * G + + .quad 0x18f0dbd7add1d518 + .quad 0x979f7888cfc11f11 + .quad 0x8732e1f07114759b + .quad 0x79b5b81a65ca3a01 + .quad 0xf5c716bce22e83fe + .quad 0xb42beb19e80985c1 + .quad 0xec9da63714254aae + .quad 0x5972ea051590a613 + .quad 0x0fd4ac20dc8f7811 + .quad 0x9a9ad294ac4d4fa8 + .quad 0xc01b2d64b3360434 + .quad 0x4f7e9c95905f3bdb + + // 2^168 * 5 * G + + .quad 0x62674bbc5781302e + .quad 0xd8520f3989addc0f + .quad 0x8c2999ae53fbd9c6 + .quad 0x31993ad92e638e4c + .quad 0x71c8443d355299fe + .quad 0x8bcd3b1cdbebead7 + .quad 0x8092499ef1a49466 + .quad 0x1942eec4a144adc8 + .quad 0x7dac5319ae234992 + .quad 0x2c1b3d910cea3e92 + .quad 0x553ce494253c1122 + .quad 0x2a0a65314ef9ca75 + + // 2^168 * 6 * G + + .quad 0x2db7937ff7f927c2 + .quad 0xdb741f0617d0a635 + .quad 0x5982f3a21155af76 + .quad 0x4cf6e218647c2ded + .quad 0xcf361acd3c1c793a + .quad 0x2f9ebcac5a35bc3b + .quad 0x60e860e9a8cda6ab + .quad 0x055dc39b6dea1a13 + .quad 0xb119227cc28d5bb6 + .quad 0x07e24ebc774dffab + .quad 0xa83c78cee4a32c89 + .quad 0x121a307710aa24b6 + + // 2^168 * 7 * G + + .quad 0xe4db5d5e9f034a97 + .quad 0xe153fc093034bc2d + .quad 0x460546919551d3b1 + .quad 0x333fc76c7a40e52d + .quad 0xd659713ec77483c9 + .quad 0x88bfe077b82b96af + .quad 0x289e28231097bcd3 + .quad 0x527bb94a6ced3a9b + .quad 0x563d992a995b482e + .quad 0x3405d07c6e383801 + .quad 0x485035de2f64d8e5 + .quad 0x6b89069b20a7a9f7 + + // 2^168 * 8 * G + + .quad 0x812aa0416270220d + .quad 0x995a89faf9245b4e + .quad 0xffadc4ce5072ef05 + .quad 0x23bc2103aa73eb73 + .quad 0x4082fa8cb5c7db77 + .quad 0x068686f8c734c155 + .quad 0x29e6c8d9f6e7a57e + .quad 0x0473d308a7639bcf + .quad 0xcaee792603589e05 + .quad 0x2b4b421246dcc492 + .quad 0x02a1ef74e601a94f + .quad 0x102f73bfde04341a + + // 2^172 * 1 * G + + .quad 0xb5a2d50c7ec20d3e + .quad 0xc64bdd6ea0c97263 + .quad 0x56e89052c1ff734d + .quad 0x4929c6f72b2ffaba + .quad 0x358ecba293a36247 + .quad 0xaf8f9862b268fd65 + .quad 0x412f7e9968a01c89 + .quad 0x5786f312cd754524 + .quad 0x337788ffca14032c + .quad 0xf3921028447f1ee3 + .quad 0x8b14071f231bccad + .quad 0x4c817b4bf2344783 + + // 2^172 * 2 * G + + .quad 0x0ff853852871b96e + .quad 0xe13e9fab60c3f1bb + .quad 0xeefd595325344402 + .quad 0x0a37c37075b7744b + .quad 0x413ba057a40b4484 + .quad 0xba4c2e1a4f5f6a43 + .quad 0x614ba0a5aee1d61c + .quad 0x78a1531a8b05dc53 + .quad 0x6cbdf1703ad0562b + .quad 0x8ecf4830c92521a3 + .quad 0xdaebd303fd8424e7 + .quad 0x72ad82a42e5ec56f + + // 2^172 * 3 * G + + .quad 0x3f9e8e35bafb65f6 + .quad 0x39d69ec8f27293a1 + .quad 0x6cb8cd958cf6a3d0 + .quad 0x1734778173adae6d + .quad 0xc368939167024bc3 + .quad 0x8e69d16d49502fda + .quad 0xfcf2ec3ce45f4b29 + .quad 0x065f669ea3b4cbc4 + .quad 0x8a00aec75532db4d + .quad 0xb869a4e443e31bb1 + .quad 0x4a0f8552d3a7f515 + .quad 0x19adeb7c303d7c08 + + // 2^172 * 4 * G + + .quad 0xc720cb6153ead9a3 + .quad 0x55b2c97f512b636e + .quad 0xb1e35b5fd40290b1 + .quad 0x2fd9ccf13b530ee2 + .quad 0x9d05ba7d43c31794 + .quad 0x2470c8ff93322526 + .quad 0x8323dec816197438 + .quad 0x2852709881569b53 + .quad 0x07bd475b47f796b8 + .quad 0xd2c7b013542c8f54 + .quad 0x2dbd23f43b24f87e + .quad 0x6551afd77b0901d6 + + // 2^172 * 5 * G + + .quad 0x4546baaf54aac27f + .quad 0xf6f66fecb2a45a28 + .quad 0x582d1b5b562bcfe8 + .quad 0x44b123f3920f785f + .quad 0x68a24ce3a1d5c9ac + .quad 0xbb77a33d10ff6461 + .quad 0x0f86ce4425d3166e + .quad 0x56507c0950b9623b + .quad 0x1206f0b7d1713e63 + .quad 0x353fe3d915bafc74 + .quad 0x194ceb970ad9d94d + .quad 0x62fadd7cf9d03ad3 + + // 2^172 * 6 * G + + .quad 0xc6b5967b5598a074 + .quad 0x5efe91ce8e493e25 + .quad 0xd4b72c4549280888 + .quad 0x20ef1149a26740c2 + .quad 0x3cd7bc61e7ce4594 + .quad 0xcd6b35a9b7dd267e + .quad 0xa080abc84366ef27 + .quad 0x6ec7c46f59c79711 + .quad 0x2f07ad636f09a8a2 + .quad 0x8697e6ce24205e7d + .quad 0xc0aefc05ee35a139 + .quad 0x15e80958b5f9d897 + + // 2^172 * 7 * G + + .quad 0x25a5ef7d0c3e235b + .quad 0x6c39c17fbe134ee7 + .quad 0xc774e1342dc5c327 + .quad 0x021354b892021f39 + .quad 0x4dd1ed355bb061c4 + .quad 0x42dc0cef941c0700 + .quad 0x61305dc1fd86340e + .quad 0x56b2cc930e55a443 + .quad 0x1df79da6a6bfc5a2 + .quad 0x02f3a2749fde4369 + .quad 0xb323d9f2cda390a7 + .quad 0x7be0847b8774d363 + + // 2^172 * 8 * G + + .quad 0x8c99cc5a8b3f55c3 + .quad 0x0611d7253fded2a0 + .quad 0xed2995ff36b70a36 + .quad 0x1f699a54d78a2619 + .quad 0x1466f5af5307fa11 + .quad 0x817fcc7ded6c0af2 + .quad 0x0a6de44ec3a4a3fb + .quad 0x74071475bc927d0b + .quad 0xe77292f373e7ea8a + .quad 0x296537d2cb045a31 + .quad 0x1bd0653ed3274fde + .quad 0x2f9a2c4476bd2966 + + // 2^176 * 1 * G + + .quad 0xeb18b9ab7f5745c6 + .quad 0x023a8aee5787c690 + .quad 0xb72712da2df7afa9 + .quad 0x36597d25ea5c013d + .quad 0xa2b4dae0b5511c9a + .quad 0x7ac860292bffff06 + .quad 0x981f375df5504234 + .quad 0x3f6bd725da4ea12d + .quad 0x734d8d7b106058ac + .quad 0xd940579e6fc6905f + .quad 0x6466f8f99202932d + .quad 0x7b7ecc19da60d6d0 + + // 2^176 * 2 * G + + .quad 0x78c2373c695c690d + .quad 0xdd252e660642906e + .quad 0x951d44444ae12bd2 + .quad 0x4235ad7601743956 + .quad 0x6dae4a51a77cfa9b + .quad 0x82263654e7a38650 + .quad 0x09bbffcd8f2d82db + .quad 0x03bedc661bf5caba + .quad 0x6258cb0d078975f5 + .quad 0x492942549189f298 + .quad 0xa0cab423e2e36ee4 + .quad 0x0e7ce2b0cdf066a1 + + // 2^176 * 3 * G + + .quad 0xc494643ac48c85a3 + .quad 0xfd361df43c6139ad + .quad 0x09db17dd3ae94d48 + .quad 0x666e0a5d8fb4674a + .quad 0xfea6fedfd94b70f9 + .quad 0xf130c051c1fcba2d + .quad 0x4882d47e7f2fab89 + .quad 0x615256138aeceeb5 + .quad 0x2abbf64e4870cb0d + .quad 0xcd65bcf0aa458b6b + .quad 0x9abe4eba75e8985d + .quad 0x7f0bc810d514dee4 + + // 2^176 * 4 * G + + .quad 0xb9006ba426f4136f + .quad 0x8d67369e57e03035 + .quad 0xcbc8dfd94f463c28 + .quad 0x0d1f8dbcf8eedbf5 + .quad 0x83ac9dad737213a0 + .quad 0x9ff6f8ba2ef72e98 + .quad 0x311e2edd43ec6957 + .quad 0x1d3a907ddec5ab75 + .quad 0xba1693313ed081dc + .quad 0x29329fad851b3480 + .quad 0x0128013c030321cb + .quad 0x00011b44a31bfde3 + + // 2^176 * 5 * G + + .quad 0x3fdfa06c3fc66c0c + .quad 0x5d40e38e4dd60dd2 + .quad 0x7ae38b38268e4d71 + .quad 0x3ac48d916e8357e1 + .quad 0x16561f696a0aa75c + .quad 0xc1bf725c5852bd6a + .quad 0x11a8dd7f9a7966ad + .quad 0x63d988a2d2851026 + .quad 0x00120753afbd232e + .quad 0xe92bceb8fdd8f683 + .quad 0xf81669b384e72b91 + .quad 0x33fad52b2368a066 + + // 2^176 * 6 * G + + .quad 0x540649c6c5e41e16 + .quad 0x0af86430333f7735 + .quad 0xb2acfcd2f305e746 + .quad 0x16c0f429a256dca7 + .quad 0x8d2cc8d0c422cfe8 + .quad 0x072b4f7b05a13acb + .quad 0xa3feb6e6ecf6a56f + .quad 0x3cc355ccb90a71e2 + .quad 0xe9b69443903e9131 + .quad 0xb8a494cb7a5637ce + .quad 0xc87cd1a4baba9244 + .quad 0x631eaf426bae7568 + + // 2^176 * 7 * G + + .quad 0xb3e90410da66fe9f + .quad 0x85dd4b526c16e5a6 + .quad 0xbc3d97611ef9bf83 + .quad 0x5599648b1ea919b5 + .quad 0x47d975b9a3700de8 + .quad 0x7280c5fbe2f80552 + .quad 0x53658f2732e45de1 + .quad 0x431f2c7f665f80b5 + .quad 0xd6026344858f7b19 + .quad 0x14ab352fa1ea514a + .quad 0x8900441a2090a9d7 + .quad 0x7b04715f91253b26 + + // 2^176 * 8 * G + + .quad 0x83edbd28acf6ae43 + .quad 0x86357c8b7d5c7ab4 + .quad 0xc0404769b7eb2c44 + .quad 0x59b37bf5c2f6583f + .quad 0xb376c280c4e6bac6 + .quad 0x970ed3dd6d1d9b0b + .quad 0xb09a9558450bf944 + .quad 0x48d0acfa57cde223 + .quad 0xb60f26e47dabe671 + .quad 0xf1d1a197622f3a37 + .quad 0x4208ce7ee9960394 + .quad 0x16234191336d3bdb + + // 2^180 * 1 * G + + .quad 0xf19aeac733a63aef + .quad 0x2c7fba5d4442454e + .quad 0x5da87aa04795e441 + .quad 0x413051e1a4e0b0f5 + .quad 0x852dd1fd3d578bbe + .quad 0x2b65ce72c3286108 + .quad 0x658c07f4eace2273 + .quad 0x0933f804ec38ab40 + .quad 0xa7ab69798d496476 + .quad 0x8121aadefcb5abc8 + .quad 0xa5dc12ef7b539472 + .quad 0x07fd47065e45351a + + // 2^180 * 2 * G + + .quad 0xc8583c3d258d2bcd + .quad 0x17029a4daf60b73f + .quad 0xfa0fc9d6416a3781 + .quad 0x1c1e5fba38b3fb23 + .quad 0x304211559ae8e7c3 + .quad 0xf281b229944882a5 + .quad 0x8a13ac2e378250e4 + .quad 0x014afa0954ba48f4 + .quad 0xcb3197001bb3666c + .quad 0x330060524bffecb9 + .quad 0x293711991a88233c + .quad 0x291884363d4ed364 + + // 2^180 * 3 * G + + .quad 0x033c6805dc4babfa + .quad 0x2c15bf5e5596ecc1 + .quad 0x1bc70624b59b1d3b + .quad 0x3ede9850a19f0ec5 + .quad 0xfb9d37c3bc1ab6eb + .quad 0x02be14534d57a240 + .quad 0xf4d73415f8a5e1f6 + .quad 0x5964f4300ccc8188 + .quad 0xe44a23152d096800 + .quad 0x5c08c55970866996 + .quad 0xdf2db60a46affb6e + .quad 0x579155c1f856fd89 + + // 2^180 * 4 * G + + .quad 0x96324edd12e0c9ef + .quad 0x468b878df2420297 + .quad 0x199a3776a4f573be + .quad 0x1e7fbcf18e91e92a + .quad 0xb5f16b630817e7a6 + .quad 0x808c69233c351026 + .quad 0x324a983b54cef201 + .quad 0x53c092084a485345 + .quad 0xd2d41481f1cbafbf + .quad 0x231d2db6716174e5 + .quad 0x0b7d7656e2a55c98 + .quad 0x3e955cd82aa495f6 + + // 2^180 * 5 * G + + .quad 0xe48f535e3ed15433 + .quad 0xd075692a0d7270a3 + .quad 0x40fbd21daade6387 + .quad 0x14264887cf4495f5 + .quad 0xab39f3ef61bb3a3f + .quad 0x8eb400652eb9193e + .quad 0xb5de6ecc38c11f74 + .quad 0x654d7e9626f3c49f + .quad 0xe564cfdd5c7d2ceb + .quad 0x82eeafded737ccb9 + .quad 0x6107db62d1f9b0ab + .quad 0x0b6baac3b4358dbb + + // 2^180 * 6 * G + + .quad 0x7ae62bcb8622fe98 + .quad 0x47762256ceb891af + .quad 0x1a5a92bcf2e406b4 + .quad 0x7d29401784e41501 + .quad 0x204abad63700a93b + .quad 0xbe0023d3da779373 + .quad 0xd85f0346633ab709 + .quad 0x00496dc490820412 + .quad 0x1c74b88dc27e6360 + .quad 0x074854268d14850c + .quad 0xa145fb7b3e0dcb30 + .quad 0x10843f1b43803b23 + + // 2^180 * 7 * G + + .quad 0xc5f90455376276dd + .quad 0xce59158dd7645cd9 + .quad 0x92f65d511d366b39 + .quad 0x11574b6e526996c4 + .quad 0xd56f672de324689b + .quad 0xd1da8aedb394a981 + .quad 0xdd7b58fe9168cfed + .quad 0x7ce246cd4d56c1e8 + .quad 0xb8f4308e7f80be53 + .quad 0x5f3cb8cb34a9d397 + .quad 0x18a961bd33cc2b2c + .quad 0x710045fb3a9af671 + + // 2^180 * 8 * G + + .quad 0x73f93d36101b95eb + .quad 0xfaef33794f6f4486 + .quad 0x5651735f8f15e562 + .quad 0x7fa3f19058b40da1 + .quad 0xa03fc862059d699e + .quad 0x2370cfa19a619e69 + .quad 0xc4fe3b122f823deb + .quad 0x1d1b056fa7f0844e + .quad 0x1bc64631e56bf61f + .quad 0xd379ab106e5382a3 + .quad 0x4d58c57e0540168d + .quad 0x566256628442d8e4 + + // 2^184 * 1 * G + + .quad 0xb9e499def6267ff6 + .quad 0x7772ca7b742c0843 + .quad 0x23a0153fe9a4f2b1 + .quad 0x2cdfdfecd5d05006 + .quad 0xdd499cd61ff38640 + .quad 0x29cd9bc3063625a0 + .quad 0x51e2d8023dd73dc3 + .quad 0x4a25707a203b9231 + .quad 0x2ab7668a53f6ed6a + .quad 0x304242581dd170a1 + .quad 0x4000144c3ae20161 + .quad 0x5721896d248e49fc + + // 2^184 * 2 * G + + .quad 0x0b6e5517fd181bae + .quad 0x9022629f2bb963b4 + .quad 0x5509bce932064625 + .quad 0x578edd74f63c13da + .quad 0x285d5091a1d0da4e + .quad 0x4baa6fa7b5fe3e08 + .quad 0x63e5177ce19393b3 + .quad 0x03c935afc4b030fd + .quad 0x997276c6492b0c3d + .quad 0x47ccc2c4dfe205fc + .quad 0xdcd29b84dd623a3c + .quad 0x3ec2ab590288c7a2 + + // 2^184 * 3 * G + + .quad 0xa1a0d27be4d87bb9 + .quad 0xa98b4deb61391aed + .quad 0x99a0ddd073cb9b83 + .quad 0x2dd5c25a200fcace + .quad 0xa7213a09ae32d1cb + .quad 0x0f2b87df40f5c2d5 + .quad 0x0baea4c6e81eab29 + .quad 0x0e1bf66c6adbac5e + .quad 0xe2abd5e9792c887e + .quad 0x1a020018cb926d5d + .quad 0xbfba69cdbaae5f1e + .quad 0x730548b35ae88f5f + + // 2^184 * 4 * G + + .quad 0xc43551a3cba8b8ee + .quad 0x65a26f1db2115f16 + .quad 0x760f4f52ab8c3850 + .quad 0x3043443b411db8ca + .quad 0x805b094ba1d6e334 + .quad 0xbf3ef17709353f19 + .quad 0x423f06cb0622702b + .quad 0x585a2277d87845dd + .quad 0xa18a5f8233d48962 + .quad 0x6698c4b5ec78257f + .quad 0xa78e6fa5373e41ff + .quad 0x7656278950ef981f + + // 2^184 * 5 * G + + .quad 0x38c3cf59d51fc8c0 + .quad 0x9bedd2fd0506b6f2 + .quad 0x26bf109fab570e8f + .quad 0x3f4160a8c1b846a6 + .quad 0xe17073a3ea86cf9d + .quad 0x3a8cfbb707155fdc + .quad 0x4853e7fc31838a8e + .quad 0x28bbf484b613f616 + .quad 0xf2612f5c6f136c7c + .quad 0xafead107f6dd11be + .quad 0x527e9ad213de6f33 + .quad 0x1e79cb358188f75d + + // 2^184 * 6 * G + + .quad 0x013436c3eef7e3f1 + .quad 0x828b6a7ffe9e10f8 + .quad 0x7ff908e5bcf9defc + .quad 0x65d7951b3a3b3831 + .quad 0x77e953d8f5e08181 + .quad 0x84a50c44299dded9 + .quad 0xdc6c2d0c864525e5 + .quad 0x478ab52d39d1f2f4 + .quad 0x66a6a4d39252d159 + .quad 0xe5dde1bc871ac807 + .quad 0xb82c6b40a6c1c96f + .quad 0x16d87a411a212214 + + // 2^184 * 7 * G + + .quad 0xb3bd7e5a42066215 + .quad 0x879be3cd0c5a24c1 + .quad 0x57c05db1d6f994b7 + .quad 0x28f87c8165f38ca6 + .quad 0xfba4d5e2d54e0583 + .quad 0xe21fafd72ebd99fa + .quad 0x497ac2736ee9778f + .quad 0x1f990b577a5a6dde + .quad 0xa3344ead1be8f7d6 + .quad 0x7d1e50ebacea798f + .quad 0x77c6569e520de052 + .quad 0x45882fe1534d6d3e + + // 2^184 * 8 * G + + .quad 0x6669345d757983d6 + .quad 0x62b6ed1117aa11a6 + .quad 0x7ddd1857985e128f + .quad 0x688fe5b8f626f6dd + .quad 0xd8ac9929943c6fe4 + .quad 0xb5f9f161a38392a2 + .quad 0x2699db13bec89af3 + .quad 0x7dcf843ce405f074 + .quad 0x6c90d6484a4732c0 + .quad 0xd52143fdca563299 + .quad 0xb3be28c3915dc6e1 + .quad 0x6739687e7327191b + + // 2^188 * 1 * G + + .quad 0x9f65c5ea200814cf + .quad 0x840536e169a31740 + .quad 0x8b0ed13925c8b4ad + .quad 0x0080dbafe936361d + .quad 0x8ce5aad0c9cb971f + .quad 0x1156aaa99fd54a29 + .quad 0x41f7247015af9b78 + .quad 0x1fe8cca8420f49aa + .quad 0x72a1848f3c0cc82a + .quad 0x38c560c2877c9e54 + .quad 0x5004e228ce554140 + .quad 0x042418a103429d71 + + // 2^188 * 2 * G + + .quad 0x899dea51abf3ff5f + .quad 0x9b93a8672fc2d8ba + .quad 0x2c38cb97be6ebd5c + .quad 0x114d578497263b5d + .quad 0x58e84c6f20816247 + .quad 0x8db2b2b6e36fd793 + .quad 0x977182561d484d85 + .quad 0x0822024f8632abd7 + .quad 0xb301bb7c6b1beca3 + .quad 0x55393f6dc6eb1375 + .quad 0x910d281097b6e4eb + .quad 0x1ad4548d9d479ea3 + + // 2^188 * 3 * G + + .quad 0xcd5a7da0389a48fd + .quad 0xb38fa4aa9a78371e + .quad 0xc6d9761b2cdb8e6c + .quad 0x35cf51dbc97e1443 + .quad 0xa06fe66d0fe9fed3 + .quad 0xa8733a401c587909 + .quad 0x30d14d800df98953 + .quad 0x41ce5876c7b30258 + .quad 0x59ac3bc5d670c022 + .quad 0xeae67c109b119406 + .quad 0x9798bdf0b3782fda + .quad 0x651e3201fd074092 + + // 2^188 * 4 * G + + .quad 0xd63d8483ef30c5cf + .quad 0x4cd4b4962361cc0c + .quad 0xee90e500a48426ac + .quad 0x0af51d7d18c14eeb + .quad 0xa57ba4a01efcae9e + .quad 0x769f4beedc308a94 + .quad 0xd1f10eeb3603cb2e + .quad 0x4099ce5e7e441278 + .quad 0x1ac98e4f8a5121e9 + .quad 0x7dae9544dbfa2fe0 + .quad 0x8320aa0dd6430df9 + .quad 0x667282652c4a2fb5 + + // 2^188 * 5 * G + + .quad 0x874621f4d86bc9ab + .quad 0xb54c7bbe56fe6fea + .quad 0x077a24257fadc22c + .quad 0x1ab53be419b90d39 + .quad 0xada8b6e02946db23 + .quad 0x1c0ce51a7b253ab7 + .quad 0x8448c85a66dd485b + .quad 0x7f1fc025d0675adf + .quad 0xd8ee1b18319ea6aa + .quad 0x004d88083a21f0da + .quad 0x3bd6aa1d883a4f4b + .quad 0x4db9a3a6dfd9fd14 + + // 2^188 * 6 * G + + .quad 0x8ce7b23bb99c0755 + .quad 0x35c5d6edc4f50f7a + .quad 0x7e1e2ed2ed9b50c3 + .quad 0x36305f16e8934da1 + .quad 0xd95b00bbcbb77c68 + .quad 0xddbc846a91f17849 + .quad 0x7cf700aebe28d9b3 + .quad 0x5ce1285c85d31f3e + .quad 0x31b6972d98b0bde8 + .quad 0x7d920706aca6de5b + .quad 0xe67310f8908a659f + .quad 0x50fac2a6efdf0235 + + // 2^188 * 7 * G + + .quad 0xf3d3a9f35b880f5a + .quad 0xedec050cdb03e7c2 + .quad 0xa896981ff9f0b1a2 + .quad 0x49a4ae2bac5e34a4 + .quad 0x295b1c86f6f449bc + .quad 0x51b2e84a1f0ab4dd + .quad 0xc001cb30aa8e551d + .quad 0x6a28d35944f43662 + .quad 0x28bb12ee04a740e0 + .quad 0x14313bbd9bce8174 + .quad 0x72f5b5e4e8c10c40 + .quad 0x7cbfb19936adcd5b + + // 2^188 * 8 * G + + .quad 0xa311ddc26b89792d + .quad 0x1b30b4c6da512664 + .quad 0x0ca77b4ccf150859 + .quad 0x1de443df1b009408 + .quad 0x8e793a7acc36e6e0 + .quad 0xf9fab7a37d586eed + .quad 0x3a4f9692bae1f4e4 + .quad 0x1c14b03eff5f447e + .quad 0x19647bd114a85291 + .quad 0x57b76cb21034d3af + .quad 0x6329db440f9d6dfa + .quad 0x5ef43e586a571493 + + // 2^192 * 1 * G + + .quad 0xef782014385675a6 + .quad 0xa2649f30aafda9e8 + .quad 0x4cd1eb505cdfa8cb + .quad 0x46115aba1d4dc0b3 + .quad 0xa66dcc9dc80c1ac0 + .quad 0x97a05cf41b38a436 + .quad 0xa7ebf3be95dbd7c6 + .quad 0x7da0b8f68d7e7dab + .quad 0xd40f1953c3b5da76 + .quad 0x1dac6f7321119e9b + .quad 0x03cc6021feb25960 + .quad 0x5a5f887e83674b4b + + // 2^192 * 2 * G + + .quad 0x8f6301cf70a13d11 + .quad 0xcfceb815350dd0c4 + .quad 0xf70297d4a4bca47e + .quad 0x3669b656e44d1434 + .quad 0x9e9628d3a0a643b9 + .quad 0xb5c3cb00e6c32064 + .quad 0x9b5302897c2dec32 + .quad 0x43e37ae2d5d1c70c + .quad 0x387e3f06eda6e133 + .quad 0x67301d5199a13ac0 + .quad 0xbd5ad8f836263811 + .quad 0x6a21e6cd4fd5e9be + + // 2^192 * 3 * G + + .quad 0xf1c6170a3046e65f + .quad 0x58712a2a00d23524 + .quad 0x69dbbd3c8c82b755 + .quad 0x586bf9f1a195ff57 + .quad 0xef4129126699b2e3 + .quad 0x71d30847708d1301 + .quad 0x325432d01182b0bd + .quad 0x45371b07001e8b36 + .quad 0xa6db088d5ef8790b + .quad 0x5278f0dc610937e5 + .quad 0xac0349d261a16eb8 + .quad 0x0eafb03790e52179 + + // 2^192 * 4 * G + + .quad 0x960555c13748042f + .quad 0x219a41e6820baa11 + .quad 0x1c81f73873486d0c + .quad 0x309acc675a02c661 + .quad 0x5140805e0f75ae1d + .quad 0xec02fbe32662cc30 + .quad 0x2cebdf1eea92396d + .quad 0x44ae3344c5435bb3 + .quad 0x9cf289b9bba543ee + .quad 0xf3760e9d5ac97142 + .quad 0x1d82e5c64f9360aa + .quad 0x62d5221b7f94678f + + // 2^192 * 5 * G + + .quad 0x524c299c18d0936d + .quad 0xc86bb56c8a0c1a0c + .quad 0xa375052edb4a8631 + .quad 0x5c0efde4bc754562 + .quad 0x7585d4263af77a3c + .quad 0xdfae7b11fee9144d + .quad 0xa506708059f7193d + .quad 0x14f29a5383922037 + .quad 0xdf717edc25b2d7f5 + .quad 0x21f970db99b53040 + .quad 0xda9234b7c3ed4c62 + .quad 0x5e72365c7bee093e + + // 2^192 * 6 * G + + .quad 0x575bfc074571217f + .quad 0x3779675d0694d95b + .quad 0x9a0a37bbf4191e33 + .quad 0x77f1104c47b4eabc + .quad 0x7d9339062f08b33e + .quad 0x5b9659e5df9f32be + .quad 0xacff3dad1f9ebdfd + .quad 0x70b20555cb7349b7 + .quad 0xbe5113c555112c4c + .quad 0x6688423a9a881fcd + .quad 0x446677855e503b47 + .quad 0x0e34398f4a06404a + + // 2^192 * 7 * G + + .quad 0xb67d22d93ecebde8 + .quad 0x09b3e84127822f07 + .quad 0x743fa61fb05b6d8d + .quad 0x5e5405368a362372 + .quad 0x18930b093e4b1928 + .quad 0x7de3e10e73f3f640 + .quad 0xf43217da73395d6f + .quad 0x6f8aded6ca379c3e + .quad 0xe340123dfdb7b29a + .quad 0x487b97e1a21ab291 + .quad 0xf9967d02fde6949e + .quad 0x780de72ec8d3de97 + + // 2^192 * 8 * G + + .quad 0x0ae28545089ae7bc + .quad 0x388ddecf1c7f4d06 + .quad 0x38ac15510a4811b8 + .quad 0x0eb28bf671928ce4 + .quad 0x671feaf300f42772 + .quad 0x8f72eb2a2a8c41aa + .quad 0x29a17fd797373292 + .quad 0x1defc6ad32b587a6 + .quad 0xaf5bbe1aef5195a7 + .quad 0x148c1277917b15ed + .quad 0x2991f7fb7ae5da2e + .quad 0x467d201bf8dd2867 + + // 2^196 * 1 * G + + .quad 0x7906ee72f7bd2e6b + .quad 0x05d270d6109abf4e + .quad 0x8d5cfe45b941a8a4 + .quad 0x44c218671c974287 + .quad 0x745f9d56296bc318 + .quad 0x993580d4d8152e65 + .quad 0xb0e5b13f5839e9ce + .quad 0x51fc2b28d43921c0 + .quad 0x1b8fd11795e2a98c + .quad 0x1c4e5ee12b6b6291 + .quad 0x5b30e7107424b572 + .quad 0x6e6b9de84c4f4ac6 + + // 2^196 * 2 * G + + .quad 0xdff25fce4b1de151 + .quad 0xd841c0c7e11c4025 + .quad 0x2554b3c854749c87 + .quad 0x2d292459908e0df9 + .quad 0x6b7c5f10f80cb088 + .quad 0x736b54dc56e42151 + .quad 0xc2b620a5c6ef99c4 + .quad 0x5f4c802cc3a06f42 + .quad 0x9b65c8f17d0752da + .quad 0x881ce338c77ee800 + .quad 0xc3b514f05b62f9e3 + .quad 0x66ed5dd5bec10d48 + + // 2^196 * 3 * G + + .quad 0x7d38a1c20bb2089d + .quad 0x808334e196ccd412 + .quad 0xc4a70b8c6c97d313 + .quad 0x2eacf8bc03007f20 + .quad 0xf0adf3c9cbca047d + .quad 0x81c3b2cbf4552f6b + .quad 0xcfda112d44735f93 + .quad 0x1f23a0c77e20048c + .quad 0xf235467be5bc1570 + .quad 0x03d2d9020dbab38c + .quad 0x27529aa2fcf9e09e + .quad 0x0840bef29d34bc50 + + // 2^196 * 4 * G + + .quad 0x796dfb35dc10b287 + .quad 0x27176bcd5c7ff29d + .quad 0x7f3d43e8c7b24905 + .quad 0x0304f5a191c54276 + .quad 0xcd54e06b7f37e4eb + .quad 0x8cc15f87f5e96cca + .quad 0xb8248bb0d3597dce + .quad 0x246affa06074400c + .quad 0x37d88e68fbe45321 + .quad 0x86097548c0d75032 + .quad 0x4e9b13ef894a0d35 + .quad 0x25a83cac5753d325 + + // 2^196 * 5 * G + + .quad 0x10222f48eed8165e + .quad 0x623fc1234b8bcf3a + .quad 0x1e145c09c221e8f0 + .quad 0x7ccfa59fca782630 + .quad 0x9f0f66293952b6e2 + .quad 0x33db5e0e0934267b + .quad 0xff45252bd609fedc + .quad 0x06be10f5c506e0c9 + .quad 0x1a9615a9b62a345f + .quad 0x22050c564a52fecc + .quad 0xa7a2788528bc0dfe + .quad 0x5e82770a1a1ee71d + + // 2^196 * 6 * G + + .quad 0x35425183ad896a5c + .quad 0xe8673afbe78d52f6 + .quad 0x2c66f25f92a35f64 + .quad 0x09d04f3b3b86b102 + .quad 0xe802e80a42339c74 + .quad 0x34175166a7fffae5 + .quad 0x34865d1f1c408cae + .quad 0x2cca982c605bc5ee + .quad 0xfd2d5d35197dbe6e + .quad 0x207c2eea8be4ffa3 + .quad 0x2613d8db325ae918 + .quad 0x7a325d1727741d3e + + // 2^196 * 7 * G + + .quad 0xd036b9bbd16dfde2 + .quad 0xa2055757c497a829 + .quad 0x8e6cc966a7f12667 + .quad 0x4d3b1a791239c180 + .quad 0xecd27d017e2a076a + .quad 0xd788689f1636495e + .quad 0x52a61af0919233e5 + .quad 0x2a479df17bb1ae64 + .quad 0x9e5eee8e33db2710 + .quad 0x189854ded6c43ca5 + .quad 0xa41c22c592718138 + .quad 0x27ad5538a43a5e9b + + // 2^196 * 8 * G + + .quad 0x2746dd4b15350d61 + .quad 0xd03fcbc8ee9521b7 + .quad 0xe86e365a138672ca + .quad 0x510e987f7e7d89e2 + .quad 0xcb5a7d638e47077c + .quad 0x8db7536120a1c059 + .quad 0x549e1e4d8bedfdcc + .quad 0x080153b7503b179d + .quad 0xdda69d930a3ed3e3 + .quad 0x3d386ef1cd60a722 + .quad 0xc817ad58bdaa4ee6 + .quad 0x23be8d554fe7372a + + // 2^200 * 1 * G + + .quad 0x95fe919a74ef4fad + .quad 0x3a827becf6a308a2 + .quad 0x964e01d309a47b01 + .quad 0x71c43c4f5ba3c797 + .quad 0xbc1ef4bd567ae7a9 + .quad 0x3f624cb2d64498bd + .quad 0xe41064d22c1f4ec8 + .quad 0x2ef9c5a5ba384001 + .quad 0xb6fd6df6fa9e74cd + .quad 0xf18278bce4af267a + .quad 0x8255b3d0f1ef990e + .quad 0x5a758ca390c5f293 + + // 2^200 * 2 * G + + .quad 0xa2b72710d9462495 + .quad 0x3aa8c6d2d57d5003 + .quad 0xe3d400bfa0b487ca + .quad 0x2dbae244b3eb72ec + .quad 0x8ce0918b1d61dc94 + .quad 0x8ded36469a813066 + .quad 0xd4e6a829afe8aad3 + .quad 0x0a738027f639d43f + .quad 0x980f4a2f57ffe1cc + .quad 0x00670d0de1839843 + .quad 0x105c3f4a49fb15fd + .quad 0x2698ca635126a69c + + // 2^200 * 3 * G + + .quad 0xe765318832b0ba78 + .quad 0x381831f7925cff8b + .quad 0x08a81b91a0291fcc + .quad 0x1fb43dcc49caeb07 + .quad 0x2e3d702f5e3dd90e + .quad 0x9e3f0918e4d25386 + .quad 0x5e773ef6024da96a + .quad 0x3c004b0c4afa3332 + .quad 0x9aa946ac06f4b82b + .quad 0x1ca284a5a806c4f3 + .quad 0x3ed3265fc6cd4787 + .quad 0x6b43fd01cd1fd217 + + // 2^200 * 4 * G + + .quad 0xc7a75d4b4697c544 + .quad 0x15fdf848df0fffbf + .quad 0x2868b9ebaa46785a + .quad 0x5a68d7105b52f714 + .quad 0xb5c742583e760ef3 + .quad 0x75dc52b9ee0ab990 + .quad 0xbf1427c2072b923f + .quad 0x73420b2d6ff0d9f0 + .quad 0xaf2cf6cb9e851e06 + .quad 0x8f593913c62238c4 + .quad 0xda8ab89699fbf373 + .quad 0x3db5632fea34bc9e + + // 2^200 * 5 * G + + .quad 0xf46eee2bf75dd9d8 + .quad 0x0d17b1f6396759a5 + .quad 0x1bf2d131499e7273 + .quad 0x04321adf49d75f13 + .quad 0x2e4990b1829825d5 + .quad 0xedeaeb873e9a8991 + .quad 0xeef03d394c704af8 + .quad 0x59197ea495df2b0e + .quad 0x04e16019e4e55aae + .quad 0xe77b437a7e2f92e9 + .quad 0xc7ce2dc16f159aa4 + .quad 0x45eafdc1f4d70cc0 + + // 2^200 * 6 * G + + .quad 0x698401858045d72b + .quad 0x4c22faa2cf2f0651 + .quad 0x941a36656b222dc6 + .quad 0x5a5eebc80362dade + .quad 0xb60e4624cfccb1ed + .quad 0x59dbc292bd5c0395 + .quad 0x31a09d1ddc0481c9 + .quad 0x3f73ceea5d56d940 + .quad 0xb7a7bfd10a4e8dc6 + .quad 0xbe57007e44c9b339 + .quad 0x60c1207f1557aefa + .quad 0x26058891266218db + + // 2^200 * 7 * G + + .quad 0x59f704a68360ff04 + .quad 0xc3d93fde7661e6f4 + .quad 0x831b2a7312873551 + .quad 0x54ad0c2e4e615d57 + .quad 0x4c818e3cc676e542 + .quad 0x5e422c9303ceccad + .quad 0xec07cccab4129f08 + .quad 0x0dedfa10b24443b8 + .quad 0xee3b67d5b82b522a + .quad 0x36f163469fa5c1eb + .quad 0xa5b4d2f26ec19fd3 + .quad 0x62ecb2baa77a9408 + + // 2^200 * 8 * G + + .quad 0xe5ed795261152b3d + .quad 0x4962357d0eddd7d1 + .quad 0x7482c8d0b96b4c71 + .quad 0x2e59f919a966d8be + .quad 0x92072836afb62874 + .quad 0x5fcd5e8579e104a5 + .quad 0x5aad01adc630a14a + .quad 0x61913d5075663f98 + .quad 0x0dc62d361a3231da + .quad 0xfa47583294200270 + .quad 0x02d801513f9594ce + .quad 0x3ddbc2a131c05d5c + + // 2^204 * 1 * G + + .quad 0x3f50a50a4ffb81ef + .quad 0xb1e035093bf420bf + .quad 0x9baa8e1cc6aa2cd0 + .quad 0x32239861fa237a40 + .quad 0xfb735ac2004a35d1 + .quad 0x31de0f433a6607c3 + .quad 0x7b8591bfc528d599 + .quad 0x55be9a25f5bb050c + .quad 0x0d005acd33db3dbf + .quad 0x0111b37c80ac35e2 + .quad 0x4892d66c6f88ebeb + .quad 0x770eadb16508fbcd + + // 2^204 * 2 * G + + .quad 0x8451f9e05e4e89dd + .quad 0xc06302ffbc793937 + .quad 0x5d22749556a6495c + .quad 0x09a6755ca05603fb + .quad 0xf1d3b681a05071b9 + .quad 0x2207659a3592ff3a + .quad 0x5f0169297881e40e + .quad 0x16bedd0e86ba374e + .quad 0x5ecccc4f2c2737b5 + .quad 0x43b79e0c2dccb703 + .quad 0x33e008bc4ec43df3 + .quad 0x06c1b840f07566c0 + + // 2^204 * 3 * G + + .quad 0x7688a5c6a388f877 + .quad 0x02a96c14deb2b6ac + .quad 0x64c9f3431b8c2af8 + .quad 0x3628435554a1eed6 + .quad 0x69ee9e7f9b02805c + .quad 0xcbff828a547d1640 + .quad 0x3d93a869b2430968 + .quad 0x46b7b8cd3fe26972 + .quad 0xe9812086fe7eebe0 + .quad 0x4cba6be72f515437 + .quad 0x1d04168b516efae9 + .quad 0x5ea1391043982cb9 + + // 2^204 * 4 * G + + .quad 0x49125c9cf4702ee1 + .quad 0x4520b71f8b25b32d + .quad 0x33193026501fef7e + .quad 0x656d8997c8d2eb2b + .quad 0x6f2b3be4d5d3b002 + .quad 0xafec33d96a09c880 + .quad 0x035f73a4a8bcc4cc + .quad 0x22c5b9284662198b + .quad 0xcb58c8fe433d8939 + .quad 0x89a0cb2e6a8d7e50 + .quad 0x79ca955309fbbe5a + .quad 0x0c626616cd7fc106 + + // 2^204 * 5 * G + + .quad 0x1ffeb80a4879b61f + .quad 0x6396726e4ada21ed + .quad 0x33c7b093368025ba + .quad 0x471aa0c6f3c31788 + .quad 0x8fdfc379fbf454b1 + .quad 0x45a5a970f1a4b771 + .quad 0xac921ef7bad35915 + .quad 0x42d088dca81c2192 + .quad 0x8fda0f37a0165199 + .quad 0x0adadb77c8a0e343 + .quad 0x20fbfdfcc875e820 + .quad 0x1cf2bea80c2206e7 + + // 2^204 * 6 * G + + .quad 0xc2ddf1deb36202ac + .quad 0x92a5fe09d2e27aa5 + .quad 0x7d1648f6fc09f1d3 + .quad 0x74c2cc0513bc4959 + .quad 0x982d6e1a02c0412f + .quad 0x90fa4c83db58e8fe + .quad 0x01c2f5bcdcb18bc0 + .quad 0x686e0c90216abc66 + .quad 0x1fadbadba54395a7 + .quad 0xb41a02a0ae0da66a + .quad 0xbf19f598bba37c07 + .quad 0x6a12b8acde48430d + + // 2^204 * 7 * G + + .quad 0xf8daea1f39d495d9 + .quad 0x592c190e525f1dfc + .quad 0xdb8cbd04c9991d1b + .quad 0x11f7fda3d88f0cb7 + .quad 0x793bdd801aaeeb5f + .quad 0x00a2a0aac1518871 + .quad 0xe8a373a31f2136b4 + .quad 0x48aab888fc91ef19 + .quad 0x041f7e925830f40e + .quad 0x002d6ca979661c06 + .quad 0x86dc9ff92b046a2e + .quad 0x760360928b0493d1 + + // 2^204 * 8 * G + + .quad 0x21bb41c6120cf9c6 + .quad 0xeab2aa12decda59b + .quad 0xc1a72d020aa48b34 + .quad 0x215d4d27e87d3b68 + .quad 0xb43108e5695a0b05 + .quad 0x6cb00ee8ad37a38b + .quad 0x5edad6eea3537381 + .quad 0x3f2602d4b6dc3224 + .quad 0xc8b247b65bcaf19c + .quad 0x49779dc3b1b2c652 + .quad 0x89a180bbd5ece2e2 + .quad 0x13f098a3cec8e039 + + // 2^208 * 1 * G + + .quad 0x9adc0ff9ce5ec54b + .quad 0x039c2a6b8c2f130d + .quad 0x028007c7f0f89515 + .quad 0x78968314ac04b36b + .quad 0xf3aa57a22796bb14 + .quad 0x883abab79b07da21 + .quad 0xe54be21831a0391c + .quad 0x5ee7fb38d83205f9 + .quad 0x538dfdcb41446a8e + .quad 0xa5acfda9434937f9 + .quad 0x46af908d263c8c78 + .quad 0x61d0633c9bca0d09 + + // 2^208 * 2 * G + + .quad 0x63744935ffdb2566 + .quad 0xc5bd6b89780b68bb + .quad 0x6f1b3280553eec03 + .quad 0x6e965fd847aed7f5 + .quad 0xada328bcf8fc73df + .quad 0xee84695da6f037fc + .quad 0x637fb4db38c2a909 + .quad 0x5b23ac2df8067bdc + .quad 0x9ad2b953ee80527b + .quad 0xe88f19aafade6d8d + .quad 0x0e711704150e82cf + .quad 0x79b9bbb9dd95dedc + + // 2^208 * 3 * G + + .quad 0xebb355406a3126c2 + .quad 0xd26383a868c8c393 + .quad 0x6c0c6429e5b97a82 + .quad 0x5065f158c9fd2147 + .quad 0xd1997dae8e9f7374 + .quad 0xa032a2f8cfbb0816 + .quad 0xcd6cba126d445f0a + .quad 0x1ba811460accb834 + .quad 0x708169fb0c429954 + .quad 0xe14600acd76ecf67 + .quad 0x2eaab98a70e645ba + .quad 0x3981f39e58a4faf2 + + // 2^208 * 4 * G + + .quad 0x18fb8a7559230a93 + .quad 0x1d168f6960e6f45d + .quad 0x3a85a94514a93cb5 + .quad 0x38dc083705acd0fd + .quad 0xc845dfa56de66fde + .quad 0xe152a5002c40483a + .quad 0xe9d2e163c7b4f632 + .quad 0x30f4452edcbc1b65 + .quad 0x856d2782c5759740 + .quad 0xfa134569f99cbecc + .quad 0x8844fc73c0ea4e71 + .quad 0x632d9a1a593f2469 + + // 2^208 * 5 * G + + .quad 0xf6bb6b15b807cba6 + .quad 0x1823c7dfbc54f0d7 + .quad 0xbb1d97036e29670b + .quad 0x0b24f48847ed4a57 + .quad 0xbf09fd11ed0c84a7 + .quad 0x63f071810d9f693a + .quad 0x21908c2d57cf8779 + .quad 0x3a5a7df28af64ba2 + .quad 0xdcdad4be511beac7 + .quad 0xa4538075ed26ccf2 + .quad 0xe19cff9f005f9a65 + .quad 0x34fcf74475481f63 + + // 2^208 * 6 * G + + .quad 0xc197e04c789767ca + .quad 0xb8714dcb38d9467d + .quad 0x55de888283f95fa8 + .quad 0x3d3bdc164dfa63f7 + .quad 0xa5bb1dab78cfaa98 + .quad 0x5ceda267190b72f2 + .quad 0x9309c9110a92608e + .quad 0x0119a3042fb374b0 + .quad 0x67a2d89ce8c2177d + .quad 0x669da5f66895d0c1 + .quad 0xf56598e5b282a2b0 + .quad 0x56c088f1ede20a73 + + // 2^208 * 7 * G + + .quad 0x336d3d1110a86e17 + .quad 0xd7f388320b75b2fa + .quad 0xf915337625072988 + .quad 0x09674c6b99108b87 + .quad 0x581b5fac24f38f02 + .quad 0xa90be9febae30cbd + .quad 0x9a2169028acf92f0 + .quad 0x038b7ea48359038f + .quad 0x9f4ef82199316ff8 + .quad 0x2f49d282eaa78d4f + .quad 0x0971a5ab5aef3174 + .quad 0x6e5e31025969eb65 + + // 2^208 * 8 * G + + .quad 0xb16c62f587e593fb + .quad 0x4999eddeca5d3e71 + .quad 0xb491c1e014cc3e6d + .quad 0x08f5114789a8dba8 + .quad 0x3304fb0e63066222 + .quad 0xfb35068987acba3f + .quad 0xbd1924778c1061a3 + .quad 0x3058ad43d1838620 + .quad 0x323c0ffde57663d0 + .quad 0x05c3df38a22ea610 + .quad 0xbdc78abdac994f9a + .quad 0x26549fa4efe3dc99 + + // 2^212 * 1 * G + + .quad 0x738b38d787ce8f89 + .quad 0xb62658e24179a88d + .quad 0x30738c9cf151316d + .quad 0x49128c7f727275c9 + .quad 0x04dbbc17f75396b9 + .quad 0x69e6a2d7d2f86746 + .quad 0xc6409d99f53eabc6 + .quad 0x606175f6332e25d2 + .quad 0x4021370ef540e7dd + .quad 0x0910d6f5a1f1d0a5 + .quad 0x4634aacd5b06b807 + .quad 0x6a39e6356944f235 + + // 2^212 * 2 * G + + .quad 0x96cd5640df90f3e7 + .quad 0x6c3a760edbfa25ea + .quad 0x24f3ef0959e33cc4 + .quad 0x42889e7e530d2e58 + .quad 0x1da1965774049e9d + .quad 0xfbcd6ea198fe352b + .quad 0xb1cbcd50cc5236a6 + .quad 0x1f5ec83d3f9846e2 + .quad 0x8efb23c3328ccb75 + .quad 0xaf42a207dd876ee9 + .quad 0x20fbdadc5dfae796 + .quad 0x241e246b06bf9f51 + + // 2^212 * 3 * G + + .quad 0x29e68e57ad6e98f6 + .quad 0x4c9260c80b462065 + .quad 0x3f00862ea51ebb4b + .quad 0x5bc2c77fb38d9097 + .quad 0x7eaafc9a6280bbb8 + .quad 0x22a70f12f403d809 + .quad 0x31ce40bb1bfc8d20 + .quad 0x2bc65635e8bd53ee + .quad 0xe8d5dc9fa96bad93 + .quad 0xe58fb17dde1947dc + .quad 0x681532ea65185fa3 + .quad 0x1fdd6c3b034a7830 + + // 2^212 * 4 * G + + .quad 0x0a64e28c55dc18fe + .quad 0xe3df9e993399ebdd + .quad 0x79ac432370e2e652 + .quad 0x35ff7fc33ae4cc0e + .quad 0x9c13a6a52dd8f7a9 + .quad 0x2dbb1f8c3efdcabf + .quad 0x961e32405e08f7b5 + .quad 0x48c8a121bbe6c9e5 + .quad 0xfc415a7c59646445 + .quad 0xd224b2d7c128b615 + .quad 0x6035c9c905fbb912 + .quad 0x42d7a91274429fab + + // 2^212 * 5 * G + + .quad 0x4e6213e3eaf72ed3 + .quad 0x6794981a43acd4e7 + .quad 0xff547cde6eb508cb + .quad 0x6fed19dd10fcb532 + .quad 0xa9a48947933da5bc + .quad 0x4a58920ec2e979ec + .quad 0x96d8800013e5ac4c + .quad 0x453692d74b48b147 + .quad 0xdd775d99a8559c6f + .quad 0xf42a2140df003e24 + .quad 0x5223e229da928a66 + .quad 0x063f46ba6d38f22c + + // 2^212 * 6 * G + + .quad 0xd2d242895f536694 + .quad 0xca33a2c542939b2c + .quad 0x986fada6c7ddb95c + .quad 0x5a152c042f712d5d + .quad 0x39843cb737346921 + .quad 0xa747fb0738c89447 + .quad 0xcb8d8031a245307e + .quad 0x67810f8e6d82f068 + .quad 0x3eeb8fbcd2287db4 + .quad 0x72c7d3a301a03e93 + .quad 0x5473e88cbd98265a + .quad 0x7324aa515921b403 + + // 2^212 * 7 * G + + .quad 0x857942f46c3cbe8e + .quad 0xa1d364b14730c046 + .quad 0x1c8ed914d23c41bf + .quad 0x0838e161eef6d5d2 + .quad 0xad23f6dae82354cb + .quad 0x6962502ab6571a6d + .quad 0x9b651636e38e37d1 + .quad 0x5cac5005d1a3312f + .quad 0x8cc154cce9e39904 + .quad 0x5b3a040b84de6846 + .quad 0xc4d8a61cb1be5d6e + .quad 0x40fb897bd8861f02 + + // 2^212 * 8 * G + + .quad 0x84c5aa9062de37a1 + .quad 0x421da5000d1d96e1 + .quad 0x788286306a9242d9 + .quad 0x3c5e464a690d10da + .quad 0xe57ed8475ab10761 + .quad 0x71435e206fd13746 + .quad 0x342f824ecd025632 + .quad 0x4b16281ea8791e7b + .quad 0xd1c101d50b813381 + .quad 0xdee60f1176ee6828 + .quad 0x0cb68893383f6409 + .quad 0x6183c565f6ff484a + + // 2^216 * 1 * G + + .quad 0x741d5a461e6bf9d6 + .quad 0x2305b3fc7777a581 + .quad 0xd45574a26474d3d9 + .quad 0x1926e1dc6401e0ff + .quad 0xdb468549af3f666e + .quad 0xd77fcf04f14a0ea5 + .quad 0x3df23ff7a4ba0c47 + .quad 0x3a10dfe132ce3c85 + .quad 0xe07f4e8aea17cea0 + .quad 0x2fd515463a1fc1fd + .quad 0x175322fd31f2c0f1 + .quad 0x1fa1d01d861e5d15 + + // 2^216 * 2 * G + + .quad 0xcc8055947d599832 + .quad 0x1e4656da37f15520 + .quad 0x99f6f7744e059320 + .quad 0x773563bc6a75cf33 + .quad 0x38dcac00d1df94ab + .quad 0x2e712bddd1080de9 + .quad 0x7f13e93efdd5e262 + .quad 0x73fced18ee9a01e5 + .quad 0x06b1e90863139cb3 + .quad 0xa493da67c5a03ecd + .quad 0x8d77cec8ad638932 + .quad 0x1f426b701b864f44 + + // 2^216 * 3 * G + + .quad 0xefc9264c41911c01 + .quad 0xf1a3b7b817a22c25 + .quad 0x5875da6bf30f1447 + .quad 0x4e1af5271d31b090 + .quad 0xf17e35c891a12552 + .quad 0xb76b8153575e9c76 + .quad 0xfa83406f0d9b723e + .quad 0x0b76bb1b3fa7e438 + .quad 0x08b8c1f97f92939b + .quad 0xbe6771cbd444ab6e + .quad 0x22e5646399bb8017 + .quad 0x7b6dd61eb772a955 + + // 2^216 * 4 * G + + .quad 0xb7adc1e850f33d92 + .quad 0x7998fa4f608cd5cf + .quad 0xad962dbd8dfc5bdb + .quad 0x703e9bceaf1d2f4f + .quad 0x5730abf9ab01d2c7 + .quad 0x16fb76dc40143b18 + .quad 0x866cbe65a0cbb281 + .quad 0x53fa9b659bff6afe + .quad 0x6c14c8e994885455 + .quad 0x843a5d6665aed4e5 + .quad 0x181bb73ebcd65af1 + .quad 0x398d93e5c4c61f50 + + // 2^216 * 5 * G + + .quad 0x1c4bd16733e248f3 + .quad 0xbd9e128715bf0a5f + .quad 0xd43f8cf0a10b0376 + .quad 0x53b09b5ddf191b13 + .quad 0xc3877c60d2e7e3f2 + .quad 0x3b34aaa030828bb1 + .quad 0x283e26e7739ef138 + .quad 0x699c9c9002c30577 + .quad 0xf306a7235946f1cc + .quad 0x921718b5cce5d97d + .quad 0x28cdd24781b4e975 + .quad 0x51caf30c6fcdd907 + + // 2^216 * 6 * G + + .quad 0xa60ba7427674e00a + .quad 0x630e8570a17a7bf3 + .quad 0x3758563dcf3324cc + .quad 0x5504aa292383fdaa + .quad 0x737af99a18ac54c7 + .quad 0x903378dcc51cb30f + .quad 0x2b89bc334ce10cc7 + .quad 0x12ae29c189f8e99a + .quad 0xa99ec0cb1f0d01cf + .quad 0x0dd1efcc3a34f7ae + .quad 0x55ca7521d09c4e22 + .quad 0x5fd14fe958eba5ea + + // 2^216 * 7 * G + + .quad 0xb5dc2ddf2845ab2c + .quad 0x069491b10a7fe993 + .quad 0x4daaf3d64002e346 + .quad 0x093ff26e586474d1 + .quad 0x3c42fe5ebf93cb8e + .quad 0xbedfa85136d4565f + .quad 0xe0f0859e884220e8 + .quad 0x7dd73f960725d128 + .quad 0xb10d24fe68059829 + .quad 0x75730672dbaf23e5 + .quad 0x1367253ab457ac29 + .quad 0x2f59bcbc86b470a4 + + // 2^216 * 8 * G + + .quad 0x83847d429917135f + .quad 0xad1b911f567d03d7 + .quad 0x7e7748d9be77aad1 + .quad 0x5458b42e2e51af4a + .quad 0x7041d560b691c301 + .quad 0x85201b3fadd7e71e + .quad 0x16c2e16311335585 + .quad 0x2aa55e3d010828b1 + .quad 0xed5192e60c07444f + .quad 0x42c54e2d74421d10 + .quad 0x352b4c82fdb5c864 + .quad 0x13e9004a8a768664 + + // 2^220 * 1 * G + + .quad 0xcbb5b5556c032bff + .quad 0xdf7191b729297a3a + .quad 0xc1ff7326aded81bb + .quad 0x71ade8bb68be03f5 + .quad 0x1e6284c5806b467c + .quad 0xc5f6997be75d607b + .quad 0x8b67d958b378d262 + .quad 0x3d88d66a81cd8b70 + .quad 0x8b767a93204ed789 + .quad 0x762fcacb9fa0ae2a + .quad 0x771febcc6dce4887 + .quad 0x343062158ff05fb3 + + // 2^220 * 2 * G + + .quad 0xe05da1a7e1f5bf49 + .quad 0x26457d6dd4736092 + .quad 0x77dcb07773cc32f6 + .quad 0x0a5d94969cdd5fcd + .quad 0xfce219072a7b31b4 + .quad 0x4d7adc75aa578016 + .quad 0x0ec276a687479324 + .quad 0x6d6d9d5d1fda4beb + .quad 0x22b1a58ae9b08183 + .quad 0xfd95d071c15c388b + .quad 0xa9812376850a0517 + .quad 0x33384cbabb7f335e + + // 2^220 * 3 * G + + .quad 0x3c6fa2680ca2c7b5 + .quad 0x1b5082046fb64fda + .quad 0xeb53349c5431d6de + .quad 0x5278b38f6b879c89 + .quad 0x33bc627a26218b8d + .quad 0xea80b21fc7a80c61 + .quad 0x9458b12b173e9ee6 + .quad 0x076247be0e2f3059 + .quad 0x52e105f61416375a + .quad 0xec97af3685abeba4 + .quad 0x26e6b50623a67c36 + .quad 0x5cf0e856f3d4fb01 + + // 2^220 * 4 * G + + .quad 0xf6c968731ae8cab4 + .quad 0x5e20741ecb4f92c5 + .quad 0x2da53be58ccdbc3e + .quad 0x2dddfea269970df7 + .quad 0xbeaece313db342a8 + .quad 0xcba3635b842db7ee + .quad 0xe88c6620817f13ef + .quad 0x1b9438aa4e76d5c6 + .quad 0x8a50777e166f031a + .quad 0x067b39f10fb7a328 + .quad 0x1925c9a6010fbd76 + .quad 0x6df9b575cc740905 + + // 2^220 * 5 * G + + .quad 0x42c1192927f6bdcf + .quad 0x8f91917a403d61ca + .quad 0xdc1c5a668b9e1f61 + .quad 0x1596047804ec0f8d + .quad 0xecdfc35b48cade41 + .quad 0x6a88471fb2328270 + .quad 0x740a4a2440a01b6a + .quad 0x471e5796003b5f29 + .quad 0xda96bbb3aced37ac + .quad 0x7a2423b5e9208cea + .quad 0x24cc5c3038aebae2 + .quad 0x50c356afdc5dae2f + + // 2^220 * 6 * G + + .quad 0x09dcbf4341c30318 + .quad 0xeeba061183181dce + .quad 0xc179c0cedc1e29a1 + .quad 0x1dbf7b89073f35b0 + .quad 0xcfed9cdf1b31b964 + .quad 0xf486a9858ca51af3 + .quad 0x14897265ea8c1f84 + .quad 0x784a53dd932acc00 + .quad 0x2d99f9df14fc4920 + .quad 0x76ccb60cc4499fe5 + .quad 0xa4132cbbe5cf0003 + .quad 0x3f93d82354f000ea + + // 2^220 * 7 * G + + .quad 0x8183e7689e04ce85 + .quad 0x678fb71e04465341 + .quad 0xad92058f6688edac + .quad 0x5da350d3532b099a + .quad 0xeaac12d179e14978 + .quad 0xff923ff3bbebff5e + .quad 0x4af663e40663ce27 + .quad 0x0fd381a811a5f5ff + .quad 0xf256aceca436df54 + .quad 0x108b6168ae69d6e8 + .quad 0x20d986cb6b5d036c + .quad 0x655957b9fee2af50 + + // 2^220 * 8 * G + + .quad 0xaea8b07fa902030f + .quad 0xf88c766af463d143 + .quad 0x15b083663c787a60 + .quad 0x08eab1148267a4a8 + .quad 0xbdc1409bd002d0ac + .quad 0x66660245b5ccd9a6 + .quad 0x82317dc4fade85ec + .quad 0x02fe934b6ad7df0d + .quad 0xef5cf100cfb7ea74 + .quad 0x22897633a1cb42ac + .quad 0xd4ce0c54cef285e2 + .quad 0x30408c048a146a55 + + // 2^224 * 1 * G + + .quad 0x739d8845832fcedb + .quad 0xfa38d6c9ae6bf863 + .quad 0x32bc0dcab74ffef7 + .quad 0x73937e8814bce45e + .quad 0xbb2e00c9193b877f + .quad 0xece3a890e0dc506b + .quad 0xecf3b7c036de649f + .quad 0x5f46040898de9e1a + .quad 0xb9037116297bf48d + .quad 0xa9d13b22d4f06834 + .quad 0xe19715574696bdc6 + .quad 0x2cf8a4e891d5e835 + + // 2^224 * 2 * G + + .quad 0x6d93fd8707110f67 + .quad 0xdd4c09d37c38b549 + .quad 0x7cb16a4cc2736a86 + .quad 0x2049bd6e58252a09 + .quad 0x2cb5487e17d06ba2 + .quad 0x24d2381c3950196b + .quad 0xd7659c8185978a30 + .quad 0x7a6f7f2891d6a4f6 + .quad 0x7d09fd8d6a9aef49 + .quad 0xf0ee60be5b3db90b + .quad 0x4c21b52c519ebfd4 + .quad 0x6011aadfc545941d + + // 2^224 * 3 * G + + .quad 0x5f67926dcf95f83c + .quad 0x7c7e856171289071 + .quad 0xd6a1e7f3998f7a5b + .quad 0x6fc5cc1b0b62f9e0 + .quad 0x63ded0c802cbf890 + .quad 0xfbd098ca0dff6aaa + .quad 0x624d0afdb9b6ed99 + .quad 0x69ce18b779340b1e + .quad 0xd1ef5528b29879cb + .quad 0xdd1aae3cd47e9092 + .quad 0x127e0442189f2352 + .quad 0x15596b3ae57101f1 + + // 2^224 * 4 * G + + .quad 0x462739d23f9179a2 + .quad 0xff83123197d6ddcf + .quad 0x1307deb553f2148a + .quad 0x0d2237687b5f4dda + .quad 0x09ff31167e5124ca + .quad 0x0be4158bd9c745df + .quad 0x292b7d227ef556e5 + .quad 0x3aa4e241afb6d138 + .quad 0x2cc138bf2a3305f5 + .quad 0x48583f8fa2e926c3 + .quad 0x083ab1a25549d2eb + .quad 0x32fcaa6e4687a36c + + // 2^224 * 5 * G + + .quad 0x7bc56e8dc57d9af5 + .quad 0x3e0bd2ed9df0bdf2 + .quad 0xaac014de22efe4a3 + .quad 0x4627e9cefebd6a5c + .quad 0x3207a4732787ccdf + .quad 0x17e31908f213e3f8 + .quad 0xd5b2ecd7f60d964e + .quad 0x746f6336c2600be9 + .quad 0x3f4af345ab6c971c + .quad 0xe288eb729943731f + .quad 0x33596a8a0344186d + .quad 0x7b4917007ed66293 + + // 2^224 * 6 * G + + .quad 0x2d85fb5cab84b064 + .quad 0x497810d289f3bc14 + .quad 0x476adc447b15ce0c + .quad 0x122ba376f844fd7b + .quad 0x54341b28dd53a2dd + .quad 0xaa17905bdf42fc3f + .quad 0x0ff592d94dd2f8f4 + .quad 0x1d03620fe08cd37d + .quad 0xc20232cda2b4e554 + .quad 0x9ed0fd42115d187f + .quad 0x2eabb4be7dd479d9 + .quad 0x02c70bf52b68ec4c + + // 2^224 * 7 * G + + .quad 0xa287ec4b5d0b2fbb + .quad 0x415c5790074882ca + .quad 0xe044a61ec1d0815c + .quad 0x26334f0a409ef5e0 + .quad 0xace532bf458d72e1 + .quad 0x5be768e07cb73cb5 + .quad 0x56cf7d94ee8bbde7 + .quad 0x6b0697e3feb43a03 + .quad 0xb6c8f04adf62a3c0 + .quad 0x3ef000ef076da45d + .quad 0x9c9cb95849f0d2a9 + .quad 0x1cc37f43441b2fae + + // 2^224 * 8 * G + + .quad 0x508f565a5cc7324f + .quad 0xd061c4c0e506a922 + .quad 0xfb18abdb5c45ac19 + .quad 0x6c6809c10380314a + .quad 0xd76656f1c9ceaeb9 + .quad 0x1c5b15f818e5656a + .quad 0x26e72832844c2334 + .quad 0x3a346f772f196838 + .quad 0xd2d55112e2da6ac8 + .quad 0xe9bd0331b1e851ed + .quad 0x960746dd8ec67262 + .quad 0x05911b9f6ef7c5d0 + + // 2^228 * 1 * G + + .quad 0xe9dcd756b637ff2d + .quad 0xec4c348fc987f0c4 + .quad 0xced59285f3fbc7b7 + .quad 0x3305354793e1ea87 + .quad 0x01c18980c5fe9f94 + .quad 0xcd656769716fd5c8 + .quad 0x816045c3d195a086 + .quad 0x6e2b7f3266cc7982 + .quad 0xcc802468f7c3568f + .quad 0x9de9ba8219974cb3 + .quad 0xabb7229cb5b81360 + .quad 0x44e2017a6fbeba62 + + // 2^228 * 2 * G + + .quad 0xc4c2a74354dab774 + .quad 0x8e5d4c3c4eaf031a + .quad 0xb76c23d242838f17 + .quad 0x749a098f68dce4ea + .quad 0x87f82cf3b6ca6ecd + .quad 0x580f893e18f4a0c2 + .quad 0x058930072604e557 + .quad 0x6cab6ac256d19c1d + .quad 0xdcdfe0a02cc1de60 + .quad 0x032665ff51c5575b + .quad 0x2c0c32f1073abeeb + .quad 0x6a882014cd7b8606 + + // 2^228 * 3 * G + + .quad 0xa52a92fea4747fb5 + .quad 0xdc12a4491fa5ab89 + .quad 0xd82da94bb847a4ce + .quad 0x4d77edce9512cc4e + .quad 0xd111d17caf4feb6e + .quad 0x050bba42b33aa4a3 + .quad 0x17514c3ceeb46c30 + .quad 0x54bedb8b1bc27d75 + .quad 0x77c8e14577e2189c + .quad 0xa3e46f6aff99c445 + .quad 0x3144dfc86d335343 + .quad 0x3a96559e7c4216a9 + + // 2^228 * 4 * G + + .quad 0x12550d37f42ad2ee + .quad 0x8b78e00498a1fbf5 + .quad 0x5d53078233894cb2 + .quad 0x02c84e4e3e498d0c + .quad 0x4493896880baaa52 + .quad 0x4c98afc4f285940e + .quad 0xef4aa79ba45448b6 + .quad 0x5278c510a57aae7f + .quad 0xa54dd074294c0b94 + .quad 0xf55d46b8df18ffb6 + .quad 0xf06fecc58dae8366 + .quad 0x588657668190d165 + + // 2^228 * 5 * G + + .quad 0xd47712311aef7117 + .quad 0x50343101229e92c7 + .quad 0x7a95e1849d159b97 + .quad 0x2449959b8b5d29c9 + .quad 0xbf5834f03de25cc3 + .quad 0xb887c8aed6815496 + .quad 0x5105221a9481e892 + .quad 0x6760ed19f7723f93 + .quad 0x669ba3b7ac35e160 + .quad 0x2eccf73fba842056 + .quad 0x1aec1f17c0804f07 + .quad 0x0d96bc031856f4e7 + + // 2^228 * 6 * G + + .quad 0x3318be7775c52d82 + .quad 0x4cb764b554d0aab9 + .quad 0xabcf3d27cc773d91 + .quad 0x3bf4d1848123288a + .quad 0xb1d534b0cc7505e1 + .quad 0x32cd003416c35288 + .quad 0xcb36a5800762c29d + .quad 0x5bfe69b9237a0bf8 + .quad 0x183eab7e78a151ab + .quad 0xbbe990c999093763 + .quad 0xff717d6e4ac7e335 + .quad 0x4c5cddb325f39f88 + + // 2^228 * 7 * G + + .quad 0xc0f6b74d6190a6eb + .quad 0x20ea81a42db8f4e4 + .quad 0xa8bd6f7d97315760 + .quad 0x33b1d60262ac7c21 + .quad 0x57750967e7a9f902 + .quad 0x2c37fdfc4f5b467e + .quad 0xb261663a3177ba46 + .quad 0x3a375e78dc2d532b + .quad 0x8141e72f2d4dddea + .quad 0xe6eafe9862c607c8 + .quad 0x23c28458573cafd0 + .quad 0x46b9476f4ff97346 + + // 2^228 * 8 * G + + .quad 0x0c1ffea44f901e5c + .quad 0x2b0b6fb72184b782 + .quad 0xe587ff910114db88 + .quad 0x37130f364785a142 + .quad 0x1215505c0d58359f + .quad 0x2a2013c7fc28c46b + .quad 0x24a0a1af89ea664e + .quad 0x4400b638a1130e1f + .quad 0x3a01b76496ed19c3 + .quad 0x31e00ab0ed327230 + .quad 0x520a885783ca15b1 + .quad 0x06aab9875accbec7 + + // 2^232 * 1 * G + + .quad 0xc1339983f5df0ebb + .quad 0xc0f3758f512c4cac + .quad 0x2cf1130a0bb398e1 + .quad 0x6b3cecf9aa270c62 + .quad 0x5349acf3512eeaef + .quad 0x20c141d31cc1cb49 + .quad 0x24180c07a99a688d + .quad 0x555ef9d1c64b2d17 + .quad 0x36a770ba3b73bd08 + .quad 0x624aef08a3afbf0c + .quad 0x5737ff98b40946f2 + .quad 0x675f4de13381749d + + // 2^232 * 2 * G + + .quad 0x0e2c52036b1782fc + .quad 0x64816c816cad83b4 + .quad 0xd0dcbdd96964073e + .quad 0x13d99df70164c520 + .quad 0xa12ff6d93bdab31d + .quad 0x0725d80f9d652dfe + .quad 0x019c4ff39abe9487 + .quad 0x60f450b882cd3c43 + .quad 0x014b5ec321e5c0ca + .quad 0x4fcb69c9d719bfa2 + .quad 0x4e5f1c18750023a0 + .quad 0x1c06de9e55edac80 + + // 2^232 * 3 * G + + .quad 0x990f7ad6a33ec4e2 + .quad 0x6608f938be2ee08e + .quad 0x9ca143c563284515 + .quad 0x4cf38a1fec2db60d + .quad 0xffd52b40ff6d69aa + .quad 0x34530b18dc4049bb + .quad 0x5e4a5c2fa34d9897 + .quad 0x78096f8e7d32ba2d + .quad 0xa0aaaa650dfa5ce7 + .quad 0xf9c49e2a48b5478c + .quad 0x4f09cc7d7003725b + .quad 0x373cad3a26091abe + + // 2^232 * 4 * G + + .quad 0xb294634d82c9f57c + .quad 0x1fcbfde124934536 + .quad 0x9e9c4db3418cdb5a + .quad 0x0040f3d9454419fc + .quad 0xf1bea8fb89ddbbad + .quad 0x3bcb2cbc61aeaecb + .quad 0x8f58a7bb1f9b8d9d + .quad 0x21547eda5112a686 + .quad 0xdefde939fd5986d3 + .quad 0xf4272c89510a380c + .quad 0xb72ba407bb3119b9 + .quad 0x63550a334a254df4 + + // 2^232 * 5 * G + + .quad 0x6507d6edb569cf37 + .quad 0x178429b00ca52ee1 + .quad 0xea7c0090eb6bd65d + .quad 0x3eea62c7daf78f51 + .quad 0x9bba584572547b49 + .quad 0xf305c6fae2c408e0 + .quad 0x60e8fa69c734f18d + .quad 0x39a92bafaa7d767a + .quad 0x9d24c713e693274e + .quad 0x5f63857768dbd375 + .quad 0x70525560eb8ab39a + .quad 0x68436a0665c9c4cd + + // 2^232 * 6 * G + + .quad 0xbc0235e8202f3f27 + .quad 0xc75c00e264f975b0 + .quad 0x91a4e9d5a38c2416 + .quad 0x17b6e7f68ab789f9 + .quad 0x1e56d317e820107c + .quad 0xc5266844840ae965 + .quad 0xc1e0a1c6320ffc7a + .quad 0x5373669c91611472 + .quad 0x5d2814ab9a0e5257 + .quad 0x908f2084c9cab3fc + .quad 0xafcaf5885b2d1eca + .quad 0x1cb4b5a678f87d11 + + // 2^232 * 7 * G + + .quad 0xb664c06b394afc6c + .quad 0x0c88de2498da5fb1 + .quad 0x4f8d03164bcad834 + .quad 0x330bca78de7434a2 + .quad 0x6b74aa62a2a007e7 + .quad 0xf311e0b0f071c7b1 + .quad 0x5707e438000be223 + .quad 0x2dc0fd2d82ef6eac + .quad 0x982eff841119744e + .quad 0xf9695e962b074724 + .quad 0xc58ac14fbfc953fb + .quad 0x3c31be1b369f1cf5 + + // 2^232 * 8 * G + + .quad 0xb0f4864d08948aee + .quad 0x07dc19ee91ba1c6f + .quad 0x7975cdaea6aca158 + .quad 0x330b61134262d4bb + .quad 0xc168bc93f9cb4272 + .quad 0xaeb8711fc7cedb98 + .quad 0x7f0e52aa34ac8d7a + .quad 0x41cec1097e7d55bb + .quad 0xf79619d7a26d808a + .quad 0xbb1fd49e1d9e156d + .quad 0x73d7c36cdba1df27 + .quad 0x26b44cd91f28777d + + // 2^236 * 1 * G + + .quad 0x300a9035393aa6d8 + .quad 0x2b501131a12bb1cd + .quad 0x7b1ff677f093c222 + .quad 0x4309c1f8cab82bad + .quad 0xaf44842db0285f37 + .quad 0x8753189047efc8df + .quad 0x9574e091f820979a + .quad 0x0e378d6069615579 + .quad 0xd9fa917183075a55 + .quad 0x4bdb5ad26b009fdc + .quad 0x7829ad2cd63def0e + .quad 0x078fc54975fd3877 + + // 2^236 * 2 * G + + .quad 0x87dfbd1428878f2d + .quad 0x134636dd1e9421a1 + .quad 0x4f17c951257341a3 + .quad 0x5df98d4bad296cb8 + .quad 0xe2004b5bb833a98a + .quad 0x44775dec2d4c3330 + .quad 0x3aa244067eace913 + .quad 0x272630e3d58e00a9 + .quad 0xf3678fd0ecc90b54 + .quad 0xf001459b12043599 + .quad 0x26725fbc3758b89b + .quad 0x4325e4aa73a719ae + + // 2^236 * 3 * G + + .quad 0x657dc6ef433c3493 + .quad 0x65375e9f80dbf8c3 + .quad 0x47fd2d465b372dae + .quad 0x4966ab79796e7947 + .quad 0xed24629acf69f59d + .quad 0x2a4a1ccedd5abbf4 + .quad 0x3535ca1f56b2d67b + .quad 0x5d8c68d043b1b42d + .quad 0xee332d4de3b42b0a + .quad 0xd84e5a2b16a4601c + .quad 0x78243877078ba3e4 + .quad 0x77ed1eb4184ee437 + + // 2^236 * 4 * G + + .quad 0xbfd4e13f201839a0 + .quad 0xaeefffe23e3df161 + .quad 0xb65b04f06b5d1fe3 + .quad 0x52e085fb2b62fbc0 + .quad 0x185d43f89e92ed1a + .quad 0xb04a1eeafe4719c6 + .quad 0x499fbe88a6f03f4f + .quad 0x5d8b0d2f3c859bdd + .quad 0x124079eaa54cf2ba + .quad 0xd72465eb001b26e7 + .quad 0x6843bcfdc97af7fd + .quad 0x0524b42b55eacd02 + + // 2^236 * 5 * G + + .quad 0xfd0d5dbee45447b0 + .quad 0x6cec351a092005ee + .quad 0x99a47844567579cb + .quad 0x59d242a216e7fa45 + .quad 0xbc18dcad9b829eac + .quad 0x23ae7d28b5f579d0 + .quad 0xc346122a69384233 + .quad 0x1a6110b2e7d4ac89 + .quad 0x4f833f6ae66997ac + .quad 0x6849762a361839a4 + .quad 0x6985dec1970ab525 + .quad 0x53045e89dcb1f546 + + // 2^236 * 6 * G + + .quad 0xcb8bb346d75353db + .quad 0xfcfcb24bae511e22 + .quad 0xcba48d40d50ae6ef + .quad 0x26e3bae5f4f7cb5d + .quad 0x84da3cde8d45fe12 + .quad 0xbd42c218e444e2d2 + .quad 0xa85196781f7e3598 + .quad 0x7642c93f5616e2b2 + .quad 0x2323daa74595f8e4 + .quad 0xde688c8b857abeb4 + .quad 0x3fc48e961c59326e + .quad 0x0b2e73ca15c9b8ba + + // 2^236 * 7 * G + + .quad 0xd6bb4428c17f5026 + .quad 0x9eb27223fb5a9ca7 + .quad 0xe37ba5031919c644 + .quad 0x21ce380db59a6602 + .quad 0x0e3fbfaf79c03a55 + .quad 0x3077af054cbb5acf + .quad 0xd5c55245db3de39f + .quad 0x015e68c1476a4af7 + .quad 0xc1d5285220066a38 + .quad 0x95603e523570aef3 + .quad 0x832659a7226b8a4d + .quad 0x5dd689091f8eedc9 + + // 2^236 * 8 * G + + .quad 0xcbac84debfd3c856 + .quad 0x1624c348b35ff244 + .quad 0xb7f88dca5d9cad07 + .quad 0x3b0e574da2c2ebe8 + .quad 0x1d022591a5313084 + .quad 0xca2d4aaed6270872 + .quad 0x86a12b852f0bfd20 + .quad 0x56e6c439ad7da748 + .quad 0xc704ff4942bdbae6 + .quad 0x5e21ade2b2de1f79 + .quad 0xe95db3f35652fad8 + .quad 0x0822b5378f08ebc1 + + // 2^240 * 1 * G + + .quad 0x51f048478f387475 + .quad 0xb25dbcf49cbecb3c + .quad 0x9aab1244d99f2055 + .quad 0x2c709e6c1c10a5d6 + .quad 0xe1b7f29362730383 + .quad 0x4b5279ffebca8a2c + .quad 0xdafc778abfd41314 + .quad 0x7deb10149c72610f + .quad 0xcb62af6a8766ee7a + .quad 0x66cbec045553cd0e + .quad 0x588001380f0be4b5 + .quad 0x08e68e9ff62ce2ea + + // 2^240 * 2 * G + + .quad 0x34ad500a4bc130ad + .quad 0x8d38db493d0bd49c + .quad 0xa25c3d98500a89be + .quad 0x2f1f3f87eeba3b09 + .quad 0x2f2d09d50ab8f2f9 + .quad 0xacb9218dc55923df + .quad 0x4a8f342673766cb9 + .quad 0x4cb13bd738f719f5 + .quad 0xf7848c75e515b64a + .quad 0xa59501badb4a9038 + .quad 0xc20d313f3f751b50 + .quad 0x19a1e353c0ae2ee8 + + // 2^240 * 3 * G + + .quad 0x7d1c7560bafa05c3 + .quad 0xb3e1a0a0c6e55e61 + .quad 0xe3529718c0d66473 + .quad 0x41546b11c20c3486 + .quad 0xb42172cdd596bdbd + .quad 0x93e0454398eefc40 + .quad 0x9fb15347b44109b5 + .quad 0x736bd3990266ae34 + .quad 0x85532d509334b3b4 + .quad 0x46fd114b60816573 + .quad 0xcc5f5f30425c8375 + .quad 0x412295a2b87fab5c + + // 2^240 * 4 * G + + .quad 0x19c99b88f57ed6e9 + .quad 0x5393cb266df8c825 + .quad 0x5cee3213b30ad273 + .quad 0x14e153ebb52d2e34 + .quad 0x2e655261e293eac6 + .quad 0x845a92032133acdb + .quad 0x460975cb7900996b + .quad 0x0760bb8d195add80 + .quad 0x413e1a17cde6818a + .quad 0x57156da9ed69a084 + .quad 0x2cbf268f46caccb1 + .quad 0x6b34be9bc33ac5f2 + + // 2^240 * 5 * G + + .quad 0xf3df2f643a78c0b2 + .quad 0x4c3e971ef22e027c + .quad 0xec7d1c5e49c1b5a3 + .quad 0x2012c18f0922dd2d + .quad 0x11fc69656571f2d3 + .quad 0xc6c9e845530e737a + .quad 0xe33ae7a2d4fe5035 + .quad 0x01b9c7b62e6dd30b + .quad 0x880b55e55ac89d29 + .quad 0x1483241f45a0a763 + .quad 0x3d36efdfc2e76c1f + .quad 0x08af5b784e4bade8 + + // 2^240 * 6 * G + + .quad 0x283499dc881f2533 + .quad 0x9d0525da779323b6 + .quad 0x897addfb673441f4 + .quad 0x32b79d71163a168d + .quad 0xe27314d289cc2c4b + .quad 0x4be4bd11a287178d + .quad 0x18d528d6fa3364ce + .quad 0x6423c1d5afd9826e + .quad 0xcc85f8d9edfcb36a + .quad 0x22bcc28f3746e5f9 + .quad 0xe49de338f9e5d3cd + .quad 0x480a5efbc13e2dcc + + // 2^240 * 7 * G + + .quad 0x0b51e70b01622071 + .quad 0x06b505cf8b1dafc5 + .quad 0x2c6bb061ef5aabcd + .quad 0x47aa27600cb7bf31 + .quad 0xb6614ce442ce221f + .quad 0x6e199dcc4c053928 + .quad 0x663fb4a4dc1cbe03 + .quad 0x24b31d47691c8e06 + .quad 0x2a541eedc015f8c3 + .quad 0x11a4fe7e7c693f7c + .quad 0xf0af66134ea278d6 + .quad 0x545b585d14dda094 + + // 2^240 * 8 * G + + .quad 0x67bf275ea0d43a0f + .quad 0xade68e34089beebe + .quad 0x4289134cd479e72e + .quad 0x0f62f9c332ba5454 + .quad 0x6204e4d0e3b321e1 + .quad 0x3baa637a28ff1e95 + .quad 0x0b0ccffd5b99bd9e + .quad 0x4d22dc3e64c8d071 + .quad 0xfcb46589d63b5f39 + .quad 0x5cae6a3f57cbcf61 + .quad 0xfebac2d2953afa05 + .quad 0x1c0fa01a36371436 + + // 2^244 * 1 * G + + .quad 0xe7547449bc7cd692 + .quad 0x0f9abeaae6f73ddf + .quad 0x4af01ca700837e29 + .quad 0x63ab1b5d3f1bc183 + .quad 0xc11ee5e854c53fae + .quad 0x6a0b06c12b4f3ff4 + .quad 0x33540f80e0b67a72 + .quad 0x15f18fc3cd07e3ef + .quad 0x32750763b028f48c + .quad 0x06020740556a065f + .quad 0xd53bd812c3495b58 + .quad 0x08706c9b865f508d + + // 2^244 * 2 * G + + .quad 0xf37ca2ab3d343dff + .quad 0x1a8c6a2d80abc617 + .quad 0x8e49e035d4ccffca + .quad 0x48b46beebaa1d1b9 + .quad 0xcc991b4138b41246 + .quad 0x243b9c526f9ac26b + .quad 0xb9ef494db7cbabbd + .quad 0x5fba433dd082ed00 + .quad 0x9c49e355c9941ad0 + .quad 0xb9734ade74498f84 + .quad 0x41c3fed066663e5c + .quad 0x0ecfedf8e8e710b3 + + // 2^244 * 3 * G + + .quad 0x76430f9f9cd470d9 + .quad 0xb62acc9ba42f6008 + .quad 0x1898297c59adad5e + .quad 0x7789dd2db78c5080 + .quad 0x744f7463e9403762 + .quad 0xf79a8dee8dfcc9c9 + .quad 0x163a649655e4cde3 + .quad 0x3b61788db284f435 + .quad 0xb22228190d6ef6b2 + .quad 0xa94a66b246ce4bfa + .quad 0x46c1a77a4f0b6cc7 + .quad 0x4236ccffeb7338cf + + // 2^244 * 4 * G + + .quad 0x8497404d0d55e274 + .quad 0x6c6663d9c4ad2b53 + .quad 0xec2fb0d9ada95734 + .quad 0x2617e120cdb8f73c + .quad 0x3bd82dbfda777df6 + .quad 0x71b177cc0b98369e + .quad 0x1d0e8463850c3699 + .quad 0x5a71945b48e2d1f1 + .quad 0x6f203dd5405b4b42 + .quad 0x327ec60410b24509 + .quad 0x9c347230ac2a8846 + .quad 0x77de29fc11ffeb6a + + // 2^244 * 5 * G + + .quad 0xb0ac57c983b778a8 + .quad 0x53cdcca9d7fe912c + .quad 0x61c2b854ff1f59dc + .quad 0x3a1a2cf0f0de7dac + .quad 0x835e138fecced2ca + .quad 0x8c9eaf13ea963b9a + .quad 0xc95fbfc0b2160ea6 + .quad 0x575e66f3ad877892 + .quad 0x99803a27c88fcb3a + .quad 0x345a6789275ec0b0 + .quad 0x459789d0ff6c2be5 + .quad 0x62f882651e70a8b2 + + // 2^244 * 6 * G + + .quad 0x085ae2c759ff1be4 + .quad 0x149145c93b0e40b7 + .quad 0xc467e7fa7ff27379 + .quad 0x4eeecf0ad5c73a95 + .quad 0x6d822986698a19e0 + .quad 0xdc9821e174d78a71 + .quad 0x41a85f31f6cb1f47 + .quad 0x352721c2bcda9c51 + .quad 0x48329952213fc985 + .quad 0x1087cf0d368a1746 + .quad 0x8e5261b166c15aa5 + .quad 0x2d5b2d842ed24c21 + + // 2^244 * 7 * G + + .quad 0x02cfebd9ebd3ded1 + .quad 0xd45b217739021974 + .quad 0x7576f813fe30a1b7 + .quad 0x5691b6f9a34ef6c2 + .quad 0x5eb7d13d196ac533 + .quad 0x377234ecdb80be2b + .quad 0xe144cffc7cf5ae24 + .quad 0x5226bcf9c441acec + .quad 0x79ee6c7223e5b547 + .quad 0x6f5f50768330d679 + .quad 0xed73e1e96d8adce9 + .quad 0x27c3da1e1d8ccc03 + + // 2^244 * 8 * G + + .quad 0x7eb9efb23fe24c74 + .quad 0x3e50f49f1651be01 + .quad 0x3ea732dc21858dea + .quad 0x17377bd75bb810f9 + .quad 0x28302e71630ef9f6 + .quad 0xc2d4a2032b64cee0 + .quad 0x090820304b6292be + .quad 0x5fca747aa82adf18 + .quad 0x232a03c35c258ea5 + .quad 0x86f23a2c6bcb0cf1 + .quad 0x3dad8d0d2e442166 + .quad 0x04a8933cab76862b + + // 2^248 * 1 * G + + .quad 0xd2c604b622943dff + .quad 0xbc8cbece44cfb3a0 + .quad 0x5d254ff397808678 + .quad 0x0fa3614f3b1ca6bf + .quad 0x69082b0e8c936a50 + .quad 0xf9c9a035c1dac5b6 + .quad 0x6fb73e54c4dfb634 + .quad 0x4005419b1d2bc140 + .quad 0xa003febdb9be82f0 + .quad 0x2089c1af3a44ac90 + .quad 0xf8499f911954fa8e + .quad 0x1fba218aef40ab42 + + // 2^248 * 2 * G + + .quad 0xab549448fac8f53e + .quad 0x81f6e89a7ba63741 + .quad 0x74fd6c7d6c2b5e01 + .quad 0x392e3acaa8c86e42 + .quad 0x4f3e57043e7b0194 + .quad 0xa81d3eee08daaf7f + .quad 0xc839c6ab99dcdef1 + .quad 0x6c535d13ff7761d5 + .quad 0x4cbd34e93e8a35af + .quad 0x2e0781445887e816 + .quad 0x19319c76f29ab0ab + .quad 0x25e17fe4d50ac13b + + // 2^248 * 3 * G + + .quad 0x0a289bd71e04f676 + .quad 0x208e1c52d6420f95 + .quad 0x5186d8b034691fab + .quad 0x255751442a9fb351 + .quad 0x915f7ff576f121a7 + .quad 0xc34a32272fcd87e3 + .quad 0xccba2fde4d1be526 + .quad 0x6bba828f8969899b + .quad 0xe2d1bc6690fe3901 + .quad 0x4cb54a18a0997ad5 + .quad 0x971d6914af8460d4 + .quad 0x559d504f7f6b7be4 + + // 2^248 * 4 * G + + .quad 0xa7738378b3eb54d5 + .quad 0x1d69d366a5553c7c + .quad 0x0a26cf62f92800ba + .quad 0x01ab12d5807e3217 + .quad 0x9c4891e7f6d266fd + .quad 0x0744a19b0307781b + .quad 0x88388f1d6061e23b + .quad 0x123ea6a3354bd50e + .quad 0x118d189041e32d96 + .quad 0xb9ede3c2d8315848 + .quad 0x1eab4271d83245d9 + .quad 0x4a3961e2c918a154 + + // 2^248 * 5 * G + + .quad 0x71dc3be0f8e6bba0 + .quad 0xd6cef8347effe30a + .quad 0xa992425fe13a476a + .quad 0x2cd6bce3fb1db763 + .quad 0x0327d644f3233f1e + .quad 0x499a260e34fcf016 + .quad 0x83b5a716f2dab979 + .quad 0x68aceead9bd4111f + .quad 0x38b4c90ef3d7c210 + .quad 0x308e6e24b7ad040c + .quad 0x3860d9f1b7e73e23 + .quad 0x595760d5b508f597 + + // 2^248 * 6 * G + + .quad 0x6129bfe104aa6397 + .quad 0x8f960008a4a7fccb + .quad 0x3f8bc0897d909458 + .quad 0x709fa43edcb291a9 + .quad 0x882acbebfd022790 + .quad 0x89af3305c4115760 + .quad 0x65f492e37d3473f4 + .quad 0x2cb2c5df54515a2b + .quad 0xeb0a5d8c63fd2aca + .quad 0xd22bc1662e694eff + .quad 0x2723f36ef8cbb03a + .quad 0x70f029ecf0c8131f + + // 2^248 * 7 * G + + .quad 0x461307b32eed3e33 + .quad 0xae042f33a45581e7 + .quad 0xc94449d3195f0366 + .quad 0x0b7d5d8a6c314858 + .quad 0x2a6aafaa5e10b0b9 + .quad 0x78f0a370ef041aa9 + .quad 0x773efb77aa3ad61f + .quad 0x44eca5a2a74bd9e1 + .quad 0x25d448327b95d543 + .quad 0x70d38300a3340f1d + .quad 0xde1c531c60e1c52b + .quad 0x272224512c7de9e4 + + // 2^248 * 8 * G + + .quad 0x1abc92af49c5342e + .quad 0xffeed811b2e6fad0 + .quad 0xefa28c8dfcc84e29 + .quad 0x11b5df18a44cc543 + .quad 0xbf7bbb8a42a975fc + .quad 0x8c5c397796ada358 + .quad 0xe27fc76fcdedaa48 + .quad 0x19735fd7f6bc20a6 + .quad 0xe3ab90d042c84266 + .quad 0xeb848e0f7f19547e + .quad 0x2503a1d065a497b9 + .quad 0x0fef911191df895f + + // 2^252 * 1 * G + + .quad 0xb1507ca1ab1c6eb9 + .quad 0xbd448f3e16b687b3 + .quad 0x3455fb7f2c7a91ab + .quad 0x7579229e2f2adec1 + .quad 0x6ab5dcb85b1c16b7 + .quad 0x94c0fce83c7b27a5 + .quad 0xa4b11c1a735517be + .quad 0x499238d0ba0eafaa + .quad 0xecf46e527aba8b57 + .quad 0x15a08c478bd1647b + .quad 0x7af1c6a65f706fef + .quad 0x6345fa78f03a30d5 + + // 2^252 * 2 * G + + .quad 0xdf02f95f1015e7a1 + .quad 0x790ec41da9b40263 + .quad 0x4d3a0ea133ea1107 + .quad 0x54f70be7e33af8c9 + .quad 0x93d3cbe9bdd8f0a4 + .quad 0xdb152c1bfd177302 + .quad 0x7dbddc6d7f17a875 + .quad 0x3e1a71cc8f426efe + .quad 0xc83ca3e390babd62 + .quad 0x80ede3670291c833 + .quad 0xc88038ccd37900c4 + .quad 0x2c5fc0231ec31fa1 + + // 2^252 * 3 * G + + .quad 0xfeba911717038b4f + .quad 0xe5123721c9deef81 + .quad 0x1c97e4e75d0d8834 + .quad 0x68afae7a23dc3bc6 + .quad 0xc422e4d102456e65 + .quad 0x87414ac1cad47b91 + .quad 0x1592e2bba2b6ffdd + .quad 0x75d9d2bff5c2100f + .quad 0x5bd9b4763626e81c + .quad 0x89966936bca02edd + .quad 0x0a41193d61f077b3 + .quad 0x3097a24200ce5471 + + // 2^252 * 4 * G + + .quad 0x57427734c7f8b84c + .quad 0xf141a13e01b270e9 + .quad 0x02d1adfeb4e564a6 + .quad 0x4bb23d92ce83bd48 + .quad 0xa162e7246695c486 + .quad 0x131d633435a89607 + .quad 0x30521561a0d12a37 + .quad 0x56704bada6afb363 + .quad 0xaf6c4aa752f912b9 + .quad 0x5e665f6cd86770c8 + .quad 0x4c35ac83a3c8cd58 + .quad 0x2b7a29c010a58a7e + + // 2^252 * 5 * G + + .quad 0xc4007f77d0c1cec3 + .quad 0x8d1020b6bac492f8 + .quad 0x32ec29d57e69daaf + .quad 0x599408759d95fce0 + .quad 0x33810a23bf00086e + .quad 0xafce925ee736ff7c + .quad 0x3d60e670e24922d4 + .quad 0x11ce9e714f96061b + .quad 0x219ef713d815bac1 + .quad 0xf141465d485be25c + .quad 0x6d5447cc4e513c51 + .quad 0x174926be5ef44393 + + // 2^252 * 6 * G + + .quad 0xb5deb2f9fc5bd5bb + .quad 0x92daa72ae1d810e1 + .quad 0xafc4cfdcb72a1c59 + .quad 0x497d78813fc22a24 + .quad 0x3ef5d41593ea022e + .quad 0x5cbcc1a20ed0eed6 + .quad 0x8fd24ecf07382c8c + .quad 0x6fa42ead06d8e1ad + .quad 0xe276824a1f73371f + .quad 0x7f7cf01c4f5b6736 + .quad 0x7e201fe304fa46e7 + .quad 0x785a36a357808c96 + + // 2^252 * 7 * G + + .quad 0x825fbdfd63014d2b + .quad 0xc852369c6ca7578b + .quad 0x5b2fcd285c0b5df0 + .quad 0x12ab214c58048c8f + .quad 0x070442985d517bc3 + .quad 0x6acd56c7ae653678 + .quad 0x00a27983985a7763 + .quad 0x5167effae512662b + .quad 0xbd4ea9e10f53c4b6 + .quad 0x1673dc5f8ac91a14 + .quad 0xa8f81a4e2acc1aba + .quad 0x33a92a7924332a25 + + // 2^252 * 8 * G + + .quad 0x9dd1f49927996c02 + .quad 0x0cb3b058e04d1752 + .quad 0x1f7e88967fd02c3e + .quad 0x2f964268cb8b3eb1 + .quad 0x7ba95ba0218f2ada + .quad 0xcff42287330fb9ca + .quad 0xdada496d56c6d907 + .quad 0x5380c296f4beee54 + .quad 0x9d4f270466898d0a + .quad 0x3d0987990aff3f7a + .quad 0xd09ef36267daba45 + .quad 0x7761455e7b1c669c diff --git a/cbits/s2n/x86_att/edwards25519_encode.S b/cbits/s2n/x86_att/edwards25519_encode.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/edwards25519_encode.S @@ -0,0 +1,86 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Encode edwards25519 point into compressed form as 256-bit number +// Input p[8]; output z[32] (bytes) +// +// extern void edwards25519_encode(uint8_t z[static 32], +// const uint64_t p[static 8]); +// +// This assumes that the input buffer p points to a pair of 256-bit +// numbers x (at p) and y (at p+4) representing a point (x,y) on the +// edwards25519 curve. It is assumed that both x and y are < p_25519 +// but there is no checking of this, nor of the fact that (x,y) is +// in fact on the curve. +// +// The output in z is a little-endian array of bytes corresponding to +// the standard compressed encoding of a point as 2^255 * x_0 + y +// where x_0 is the least significant bit of x. +// See "https://datatracker.ietf.org/doc/html/rfc8032#section-5.1.2" +// In this implementation, y is simply truncated to 255 bits, but if +// it is reduced mod p_25519 as expected this does not affect values. +// +// Standard x86-64 ABI: RDI = z, RSI = p +// Microsoft x64 ABI: RCX = z, RDX = p +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(edwards25519_encode) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(edwards25519_encode) + S2N_BN_SYM_PRIVACY_DIRECTIVE(edwards25519_encode) + .text + +#define z %rdi +#define p %rsi +#define y0 %rax +#define y1 %rcx +#define y2 %rdx +#define y3 %r8 +#define xb %r9 + +S2N_BN_SYMBOL(edwards25519_encode): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi +#endif + +// Load lowest word of x coordinate in xb and full y as [y3;y2;y1;y0]. + + movq (p), xb + movq 32(p), y0 + movq 40(p), y1 + movq 48(p), y2 + movq 56(p), y3 + +// Compute the encoded form, making the LSB of x the MSB of the encoding + + btr $63, y3 + shlq $63, xb + orq xb, y3 + +// Store back (by the word, since x86 is little-endian anyway) + + movq y0, (z) + movq y1, 8(z) + movq y2, 16(z) + movq y3, 24(z) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(edwards25519_encode) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack,"",%progbits +#endif diff --git a/cbits/s2n/x86_att/edwards25519_scalarmulbase.S b/cbits/s2n/x86_att/edwards25519_scalarmulbase.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/edwards25519_scalarmulbase.S @@ -0,0 +1,9926 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Scalar multiplication for the edwards25519 standard basepoint +// Input scalar[4]; output res[8] +// +// extern void edwards25519_scalarmulbase +// (uint64_t res[static 8],const uint64_t scalar[static 4]); +// +// Given a scalar n, returns point (X,Y) = n * B where B = (...,4/5) is +// the standard basepoint for the edwards25519 (Ed25519) curve. +// +// Standard x86-64 ABI: RDI = res, RSI = scalar +// Microsoft x64 ABI: RCX = res, RDX = scalar +// ---------------------------------------------------------------------------- +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(edwards25519_scalarmulbase) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(edwards25519_scalarmulbase) + S2N_BN_SYM_PRIVACY_DIRECTIVE(edwards25519_scalarmulbase) + + .text + .balign 32 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Pointer-offset pairs for result and temporaries on stack with some aliasing. +// The result "resx" assumes the "res" pointer has been preloaded into %rbp. + +#define resx (0*NUMSIZE)(%rbp) +#define resy (1*NUMSIZE)(%rbp) + +#define scalar (0*NUMSIZE)(%rsp) + +#define tabent (1*NUMSIZE)(%rsp) +#define ymx_2 (1*NUMSIZE)(%rsp) +#define xpy_2 (2*NUMSIZE)(%rsp) +#define kxy_2 (3*NUMSIZE)(%rsp) + +#define t0 (4*NUMSIZE)(%rsp) +#define t1 (5*NUMSIZE)(%rsp) +#define t2 (6*NUMSIZE)(%rsp) +#define t3 (7*NUMSIZE)(%rsp) +#define t4 (8*NUMSIZE)(%rsp) +#define t5 (9*NUMSIZE)(%rsp) + +#define acc (10*NUMSIZE)(%rsp) +#define x_1 (10*NUMSIZE)(%rsp) +#define y_1 (11*NUMSIZE)(%rsp) +#define z_1 (12*NUMSIZE)(%rsp) +#define w_1 (13*NUMSIZE)(%rsp) +#define x_3 (10*NUMSIZE)(%rsp) +#define y_3 (11*NUMSIZE)(%rsp) +#define z_3 (12*NUMSIZE)(%rsp) +#define w_3 (13*NUMSIZE)(%rsp) + +// Stable homes for the input result pointer, and other variables + +#define res 14*NUMSIZE(%rsp) + +#define i 14*NUMSIZE+8(%rsp) + +#define bias 14*NUMSIZE+16(%rsp) + +#define bf 14*NUMSIZE+24(%rsp) +#define ix 14*NUMSIZE+24(%rsp) + +#define tab 15*NUMSIZE(%rsp) + +// Total size to reserve on the stack + +#define NSPACE 488 + +// Syntactic variants to make x86_att version simpler to generate + +#define SCALAR 0 +#define TABENT (1*NUMSIZE) +#define ACC (10*NUMSIZE) +#define X3 (10*NUMSIZE) +#define Z3 (12*NUMSIZE) +#define W3 (13*NUMSIZE) + +// Macro wrapping up the basic field multiplication, only trivially +// different from a pure function call to bignum_mul_p25519. + +#define mul_p25519(P0,P1,P2) \ + xorl %esi, %esi ; \ + movq P2, %rdx ; \ + mulxq P1, %r8, %r9 ; \ + mulxq 0x8+P1, %rax, %r10 ; \ + addq %rax, %r9 ; \ + mulxq 0x10+P1, %rax, %r11 ; \ + adcq %rax, %r10 ; \ + mulxq 0x18+P1, %rax, %r12 ; \ + adcq %rax, %r11 ; \ + adcq %rsi, %r12 ; \ + xorl %esi, %esi ; \ + movq 0x8+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x18+P1, %rax, %r13 ; \ + adcxq %rax, %r12 ; \ + adoxq %rsi, %r13 ; \ + adcxq %rsi, %r13 ; \ + xorl %esi, %esi ; \ + movq 0x10+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + mulxq 0x18+P1, %rax, %r14 ; \ + adcxq %rax, %r13 ; \ + adoxq %rsi, %r14 ; \ + adcxq %rsi, %r14 ; \ + xorl %esi, %esi ; \ + movq 0x18+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r13 ; \ + adoxq %rbx, %r14 ; \ + mulxq 0x18+P1, %rax, %r15 ; \ + adcxq %rax, %r14 ; \ + adoxq %rsi, %r15 ; \ + adcxq %rsi, %r15 ; \ + movl $0x26, %edx ; \ + xorl %esi, %esi ; \ + mulxq %r12, %rax, %rbx ; \ + adcxq %rax, %r8 ; \ + adoxq %rbx, %r9 ; \ + mulxq %r13, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq %r14, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq %r15, %rax, %r12 ; \ + adcxq %rax, %r11 ; \ + adoxq %rsi, %r12 ; \ + adcxq %rsi, %r12 ; \ + shldq $0x1, %r11, %r12 ; \ + movl $0x13, %edx ; \ + incq %r12; \ + bts $63, %r11 ; \ + mulxq %r12, %rax, %rbx ; \ + addq %rax, %r8 ; \ + adcq %rbx, %r9 ; \ + adcq %rsi, %r10 ; \ + adcq %rsi, %r11 ; \ + sbbq %rax, %rax ; \ + notq %rax; \ + andq %rdx, %rax ; \ + subq %rax, %r8 ; \ + sbbq %rsi, %r9 ; \ + sbbq %rsi, %r10 ; \ + sbbq %rsi, %r11 ; \ + btr $63, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// A version of multiplication that only guarantees output < 2 * p_25519. +// This basically skips the +1 and final correction in quotient estimation. + +#define mul_4(P0,P1,P2) \ + xorl %ecx, %ecx ; \ + movq P2, %rdx ; \ + mulxq P1, %r8, %r9 ; \ + mulxq 0x8+P1, %rax, %r10 ; \ + addq %rax, %r9 ; \ + mulxq 0x10+P1, %rax, %r11 ; \ + adcq %rax, %r10 ; \ + mulxq 0x18+P1, %rax, %r12 ; \ + adcq %rax, %r11 ; \ + adcq %rcx, %r12 ; \ + xorl %ecx, %ecx ; \ + movq 0x8+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x18+P1, %rax, %r13 ; \ + adcxq %rax, %r12 ; \ + adoxq %rcx, %r13 ; \ + adcxq %rcx, %r13 ; \ + xorl %ecx, %ecx ; \ + movq 0x10+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + mulxq 0x18+P1, %rax, %r14 ; \ + adcxq %rax, %r13 ; \ + adoxq %rcx, %r14 ; \ + adcxq %rcx, %r14 ; \ + xorl %ecx, %ecx ; \ + movq 0x18+P2, %rdx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r13 ; \ + adoxq %rbx, %r14 ; \ + mulxq 0x18+P1, %rax, %r15 ; \ + adcxq %rax, %r14 ; \ + adoxq %rcx, %r15 ; \ + adcxq %rcx, %r15 ; \ + movl $0x26, %edx ; \ + xorl %ecx, %ecx ; \ + mulxq %r12, %rax, %rbx ; \ + adcxq %rax, %r8 ; \ + adoxq %rbx, %r9 ; \ + mulxq %r13, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq %r14, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq %r15, %rax, %r12 ; \ + adcxq %rax, %r11 ; \ + adoxq %rcx, %r12 ; \ + adcxq %rcx, %r12 ; \ + shldq $0x1, %r11, %r12 ; \ + btr $0x3f, %r11 ; \ + movl $0x13, %edx ; \ + imulq %r12, %rdx ; \ + addq %rdx, %r8 ; \ + adcq %rcx, %r9 ; \ + adcq %rcx, %r10 ; \ + adcq %rcx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// Modular subtraction with double modulus 2 * p_25519 = 2^256 - 38 + +#define sub_twice4(P0,P1,P2) \ + movq P1, %r8 ; \ + xorl %ebx, %ebx ; \ + subq P2, %r8 ; \ + movq 8+P1, %r9 ; \ + sbbq 8+P2, %r9 ; \ + movl $38, %ecx ; \ + movq 16+P1, %r10 ; \ + sbbq 16+P2, %r10 ; \ + movq 24+P1, %rax ; \ + sbbq 24+P2, %rax ; \ + cmovncq %rbx, %rcx ; \ + subq %rcx, %r8 ; \ + sbbq %rbx, %r9 ; \ + sbbq %rbx, %r10 ; \ + sbbq %rbx, %rax ; \ + movq %r8, P0 ; \ + movq %r9, 8+P0 ; \ + movq %r10, 16+P0 ; \ + movq %rax, 24+P0 + +// Modular addition and doubling with double modulus 2 * p_25519 = 2^256 - 38. +// This only ensures that the result fits in 4 digits, not that it is reduced +// even w.r.t. double modulus. The result is always correct modulo provided +// the sum of the inputs is < 2^256 + 2^256 - 38, so in particular provided +// at least one of them is reduced double modulo. + +#define add_twice4(P0,P1,P2) \ + movq P1, %r8 ; \ + xorl %ecx, %ecx ; \ + addq P2, %r8 ; \ + movq 0x8+P1, %r9 ; \ + adcq 0x8+P2, %r9 ; \ + movq 0x10+P1, %r10 ; \ + adcq 0x10+P2, %r10 ; \ + movq 0x18+P1, %r11 ; \ + adcq 0x18+P2, %r11 ; \ + movl $38, %eax ; \ + cmovncq %rcx, %rax ; \ + addq %rax, %r8 ; \ + adcq %rcx, %r9 ; \ + adcq %rcx, %r10 ; \ + adcq %rcx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +#define double_twice4(P0,P1) \ + movq P1, %r8 ; \ + xorl %ecx, %ecx ; \ + addq %r8, %r8 ; \ + movq 0x8+P1, %r9 ; \ + adcq %r9, %r9 ; \ + movq 0x10+P1, %r10 ; \ + adcq %r10, %r10 ; \ + movq 0x18+P1, %r11 ; \ + adcq %r11, %r11 ; \ + movl $38, %eax ; \ + cmovncq %rcx, %rax ; \ + addq %rax, %r8 ; \ + adcq %rcx, %r9 ; \ + adcq %rcx, %r10 ; \ + adcq %rcx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +S2N_BN_SYMBOL(edwards25519_scalarmulbase): + CFI_START + _CET_ENDBR + +// In this case the Windows form literally makes a subroutine call. +// This avoids hassle arising from keeping code and data together. + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + CFI_CALL(Ledwards25519_scalarmulbase_standard) + CFI_POP(%rsi) + CFI_POP(%rdi) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(edwards25519_scalarmulbase) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Ledwards25519_scalarmulbase_standard) + +Ledwards25519_scalarmulbase_standard: + CFI_START +#endif + +// Save registers, make room for temps, preserve input arguments. + + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(NSPACE) + +// Move the output pointer to a stable place + + movq %rdi, res + +// Copy the input scalar x to its local variable while reducing it +// modulo 2^252 + m where m = 27742317777372353535851937790883648493; +// this is the order of the basepoint so this doesn't change the result. +// First do q = floor(x/2^252) and x' = x - q * (2^252 + m), which gives +// an initial result -15 * m <= x' < 2^252 + + movq (%rsi), %r8 + movq 8(%rsi), %r9 + movq 16(%rsi), %r10 + movq 24(%rsi), %r11 + + movq %r11, %rcx + shrq $60, %rcx + + movq $0x5812631a5cf5d3ed, %rax + mulq %rcx + movq %rax, %r12 + movq %rdx, %r13 + movq $0x14def9dea2f79cd6, %rax + mulq %rcx + addq %rax, %r13 + adcq $0, %rdx + shlq $60, %rcx + + subq %r12, %r8 + sbbq %r13, %r9 + sbbq %rdx, %r10 + sbbq %rcx, %r11 + +// If x' < 0 then just directly negate it; this makes sure the +// reduced argument is strictly 0 <= x' < 2^252, but now we need +// to record (done via bit 255 of the reduced scalar, which is +// ignored in the main loop) when we negated so we can flip +// the end result to compensate. + + sbbq %rax, %rax + + xorq %rax, %r8 + xorq %rax, %r9 + xorq %rax, %r10 + xorq %rax, %r11 + + negq %rax + adcq $0, %r8 + adcq $0, %r9 + adcq $0, %r10 + adcq $0, %r11 + + shlq $63, %rax + orq %rax, %r11 + +// And before we store the scalar, test and reset bit 251 to +// initialize the main loop just below. + + movq %r8, SCALAR(%rsp) + movq %r9, SCALAR+8(%rsp) + movq %r10, SCALAR+16(%rsp) + btr $59, %r11 + movq %r11, SCALAR+24(%rsp) + +// The main part of the computation is in extended-projective coordinates +// (X,Y,Z,T), representing an affine point on the edwards25519 curve +// (x,y) via x = X/Z, y = Y/Z and x * y = T/Z (so X * Y = T * Z). +// In comments B means the standard basepoint (x,4/5) = +// (0x216....f25d51a,0x6666..666658). +// +// Initialize accumulator "acc" to either 0 or 2^251 * B depending on +// bit 251 of the (reduced) scalar. That leaves bits 0..250 to handle. + + leaq S2N_BN_SYMBOL(edwards25519_scalarmulbase_constant)(%rip), %r10 + leaq 8*12(%r10), %r11 + + movq (%r10), %rax + movq (%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC(%rsp) + + movq 8*1(%r10), %rax + movq 8*1(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+8(%rsp) + + movq 8*2(%r10), %rax + movq 8*2(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+16(%rsp) + + movq 8*3(%r10), %rax + movq 8*3(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+24(%rsp) + + movq 8*4(%r10), %rax + movq 8*4(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+32(%rsp) + + movq 8*5(%r10), %rax + movq 8*5(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+40(%rsp) + + movq 8*6(%r10), %rax + movq 8*6(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+48(%rsp) + + movq 8*7(%r10), %rax + movq 8*7(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+56(%rsp) + + movl $1, %eax + movq %rax, ACC+64(%rsp) + movl $0, %eax + movq %rax, ACC+72(%rsp) + movq %rax, ACC+80(%rsp) + movq %rax, ACC+88(%rsp) + + movq 8*8(%r10), %rax + movq 8*8(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+96(%rsp) + + movq 8*9(%r10), %rax + movq 8*9(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+104(%rsp) + + movq 8*10(%r10), %rax + movq 8*10(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+112(%rsp) + + movq 8*11(%r10), %rax + movq 8*11(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+120(%rsp) + +// The counter "i" tracks the bit position for which the scalar has +// already been absorbed, starting at 0 and going up in chunks of 4. +// +// The pointer "tab" points at the current block of the table for +// multiples (2^i * j) * B at the current bit position i; 1 <= j <= 8. +// +// The bias is always either 0 and 1 and needs to be added to the +// partially processed scalar implicitly. This is used to absorb 4 bits +// of scalar per iteration from 3-bit table indexing by exploiting +// negation: (16 * h + l) * B = (16 * (h + 1) - (16 - l)) * B is used +// when l >= 9. Note that we can't have any bias left over at the +// end because we made sure bit 251 is clear in the reduced scalar. + + movq $0, i + leaq 8*24(%r10), %rax + movq %rax, tab + movq $0, bias + +// Start of the main loop, repeated 63 times for i = 4, 8, ..., 252 + +Ledwards25519_scalarmulbase_scalarloop: + +// Look at the next 4-bit field "bf", adding the previous bias as well. +// Choose the table index "ix" as bf when bf <= 8 and 16 - bf for bf >= 9, +// setting the bias to 1 for the next iteration in the latter case. + + movq i, %rax + movq %rax, %rcx + shrq $6, %rax + movq (%rsp,%rax,8), %rax // Exploiting scalar = sp exactly + shrq %cl, %rax + andq $15, %rax + addq bias, %rax + movq %rax, bf + + cmpq $9, bf + sbbq %rax, %rax + incq %rax + movq %rax, bias + + movq $16, %rdi + subq bf, %rdi + cmpq $0, bias + cmovzq bf, %rdi + movq %rdi, ix + +// Perform constant-time lookup in the table to get element number "ix". +// The table entry for the affine point (x,y) is actually a triple +// (y - x,x + y,2 * d * x * y) to precompute parts of the addition. +// Note that "ix" can be 0, so we set up the appropriate identity first. + + movl $1, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + movl $1, %r8d + xorl %r9d, %r9d + xorl %r10d, %r10d + xorl %r11d, %r11d + xorl %r12d, %r12d + xorl %r13d, %r13d + xorl %r14d, %r14d + xorl %r15d, %r15d + + movq tab, %rbp + + cmpq $1, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $2, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $3, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $4, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $5, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $6, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $7, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $8, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + + addq $96, %rbp + movq %rbp, tab + +// We now have the triple from the table in registers as follows +// +// [%rdx;%rcx;%rbx;%rax] = y - x +// [%r11;%r10;%r9;%r8] = x + y +// [%r15;%r14;%r13;%r12] = 2 * d * x * y +// +// In case bias = 1 we need to negate this. For Edwards curves +// -(x,y) = (-x,y), i.e. we need to negate the x coordinate. +// In this processed encoding, that amounts to swapping the +// first two fields and negating the third. +// +// The optional negation here also pretends bias = 0 whenever +// ix = 0 so that it doesn't need to handle the case of zero +// inputs, since no non-trivial table entries are zero. Note +// that in the zero case the whole negation is trivial, and +// so indeed is the swapping. + + cmpq $0, bias + + movq %rax, %rsi + cmovnzq %r8, %rsi + cmovnzq %rax, %r8 + movq %rsi, TABENT(%rsp) + movq %r8, TABENT+32(%rsp) + + movq %rbx, %rsi + cmovnzq %r9, %rsi + cmovnzq %rbx, %r9 + movq %rsi, TABENT+8(%rsp) + movq %r9, TABENT+40(%rsp) + + movq %rcx, %rsi + cmovnzq %r10, %rsi + cmovnzq %rcx, %r10 + movq %rsi, TABENT+16(%rsp) + movq %r10, TABENT+48(%rsp) + + movq %rdx, %rsi + cmovnzq %r11, %rsi + cmovnzq %rdx, %r11 + movq %rsi, TABENT+24(%rsp) + movq %r11, TABENT+56(%rsp) + + movq $-19, %rax + movq $-1, %rbx + movq $-1, %rcx + movq $0x7fffffffffffffff, %rdx + subq %r12, %rax + sbbq %r13, %rbx + sbbq %r14, %rcx + sbbq %r15, %rdx + + movq ix, %r8 + movq bias, %r9 + testq %r8, %r8 + cmovzq %r8, %r9 + testq %r9, %r9 + + cmovzq %r12, %rax + cmovzq %r13, %rbx + cmovzq %r14, %rcx + cmovzq %r15, %rdx + movq %rax, TABENT+64(%rsp) + movq %rbx, TABENT+72(%rsp) + movq %rcx, TABENT+80(%rsp) + movq %rdx, TABENT+88(%rsp) + +// Extended-projective and precomputed mixed addition. +// This is effectively the same as calling the standalone +// function edwards25519_pepadd(acc,acc,tabent), but we +// only retain slightly weaker normalization < 2 * p_25519 +// throughout the inner loop, so the computation is +// slightly different, and faster overall. + + double_twice4(t0,z_1) + sub_twice4(t1,y_1,x_1) + add_twice4(t2,y_1,x_1) + mul_4(t3,w_1,kxy_2) + mul_4(t1,t1,ymx_2) + mul_4(t2,t2,xpy_2) + sub_twice4(t4,t0,t3) + add_twice4(t0,t0,t3) + sub_twice4(t5,t2,t1) + add_twice4(t1,t2,t1) + mul_4(z_3,t4,t0) + mul_4(x_3,t5,t4) + mul_4(y_3,t0,t1) + mul_4(w_3,t5,t1) + +// End of the main loop; move on by 4 bits. + + addq $4, i + cmpq $252, i + jc Ledwards25519_scalarmulbase_scalarloop + +// Insert the optional negation of the projective X coordinate, and +// so by extension the final affine x coordinate x = X/Z and thus +// the point P = (x,y). We only know X < 2 * p_25519, so we do the +// negation as 2 * p_25519 - X to keep it nonnegative. From this +// point on we don't need any normalization of the coordinates +// except for making sure that they fit in 4 digits. + + movq X3(%rsp), %r8 + movq X3+8(%rsp), %r9 + movq X3+16(%rsp), %r10 + movq X3+24(%rsp), %r11 + movq $0xffffffffffffffda, %r12 + subq %r8, %r12 + movq $0xffffffffffffffff, %r13 + sbbq %r9, %r13 + movq $0xffffffffffffffff, %r14 + sbbq %r10, %r14 + movq $0xffffffffffffffff, %r15 + sbbq %r11, %r15 + movq SCALAR+24(%rsp), %rax + btq $63, %rax + cmovcq %r12, %r8 + cmovcq %r13, %r9 + cmovcq %r14, %r10 + cmovcq %r15, %r11 + movq %r8, X3(%rsp) + movq %r9, X3+8(%rsp) + movq %r10, X3+16(%rsp) + movq %r11, X3+24(%rsp) + +// Now we need to map out of the extended-projective representation +// (X,Y,Z,W) back to the affine form (x,y) = (X/Z,Y/Z). This means +// first calling the modular inverse to get w_3 = 1/z_3. + + leaq W3(%rsp), %rdi + leaq Z3(%rsp), %rsi + +// Inline copy of bignum_inv_p25519, identical except for stripping out +// the prologue and epilogue saving and restoring registers and making +// and reclaiming room on the stack. For more details and explanations see +// "x86/curve25519/bignum_inv_p25519.S". Note that the stack it uses for +// its own temporaries is 208 bytes, so it has no effect on variables +// that are needed in the rest of our computation here: res, x_3, y_3, +// z_3 and w_3. + + movq %rdi, 0xc0(%rsp) + xorl %eax, %eax + leaq -0x13(%rax), %rcx + notq %rax + movq %rcx, (%rsp) + movq %rax, 0x8(%rsp) + movq %rax, 0x10(%rsp) + btr $0x3f, %rax + movq %rax, 0x18(%rsp) + movq (%rsi), %rdx + movq 0x8(%rsi), %rcx + movq 0x10(%rsi), %r8 + movq 0x18(%rsi), %r9 + movl $0x1, %eax + xorl %r10d, %r10d + bts $0x3f, %r9 + adcq %r10, %rax + imulq $0x13, %rax, %rax + addq %rax, %rdx + adcq %r10, %rcx + adcq %r10, %r8 + adcq %r10, %r9 + movl $0x13, %eax + cmovbq %r10, %rax + subq %rax, %rdx + sbbq %r10, %rcx + sbbq %r10, %r8 + sbbq %r10, %r9 + btr $0x3f, %r9 + movq %rdx, 0x20(%rsp) + movq %rcx, 0x28(%rsp) + movq %r8, 0x30(%rsp) + movq %r9, 0x38(%rsp) + xorl %eax, %eax + movq %rax, 0x40(%rsp) + movq %rax, 0x48(%rsp) + movq %rax, 0x50(%rsp) + movq %rax, 0x58(%rsp) + movabsq $0xa0f99e2375022099, %rax + movq %rax, 0x60(%rsp) + movabsq $0xa8c68f3f1d132595, %rax + movq %rax, 0x68(%rsp) + movabsq $0x6c6c893805ac5242, %rax + movq %rax, 0x70(%rsp) + movabsq $0x276508b241770615, %rax + movq %rax, 0x78(%rsp) + movq $0xa, 0x90(%rsp) + movq $0x1, 0x98(%rsp) + jmp Ledwards25519_scalarmulbase_midloop +Ledwards25519_scalarmulbase_inverseloop: + movq %r8, %r9 + sarq $0x3f, %r9 + xorq %r9, %r8 + subq %r9, %r8 + movq %r10, %r11 + sarq $0x3f, %r11 + xorq %r11, %r10 + subq %r11, %r10 + movq %r12, %r13 + sarq $0x3f, %r13 + xorq %r13, %r12 + subq %r13, %r12 + movq %r14, %r15 + sarq $0x3f, %r15 + xorq %r15, %r14 + subq %r15, %r14 + movq %r8, %rax + andq %r9, %rax + movq %r10, %rdi + andq %r11, %rdi + addq %rax, %rdi + movq %rdi, 0x80(%rsp) + movq %r12, %rax + andq %r13, %rax + movq %r14, %rsi + andq %r15, %rsi + addq %rax, %rsi + movq %rsi, 0x88(%rsp) + xorl %ebx, %ebx + movq (%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rdi + adcq %rdx, %rbx + movq 0x20(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rdi + adcq %rdx, %rbx + xorl %ebp, %ebp + movq (%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x20(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + xorl %ecx, %ecx + movq 0x8(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x28(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + shrdq $0x3b, %rbx, %rdi + movq %rdi, (%rsp) + xorl %edi, %edi + movq 0x8(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rbp + adcq %rdx, %rdi + movq 0x28(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rdi + shrdq $0x3b, %rbp, %rsi + movq %rsi, 0x20(%rsp) + xorl %esi, %esi + movq 0x10(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rsi + movq 0x30(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rsi + shrdq $0x3b, %rcx, %rbx + movq %rbx, 0x8(%rsp) + xorl %ebx, %ebx + movq 0x10(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rdi + adcq %rdx, %rbx + movq 0x30(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rdi + adcq %rdx, %rbx + shrdq $0x3b, %rdi, %rbp + movq %rbp, 0x28(%rsp) + movq 0x18(%rsp), %rax + xorq %r9, %rax + movq %rax, %rbp + sarq $0x3f, %rbp + andq %r8, %rbp + negq %rbp + mulq %r8 + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x38(%rsp), %rax + xorq %r11, %rax + movq %rax, %rdx + sarq $0x3f, %rdx + andq %r10, %rdx + subq %rdx, %rbp + mulq %r10 + addq %rax, %rsi + adcq %rdx, %rbp + shrdq $0x3b, %rsi, %rcx + movq %rcx, 0x10(%rsp) + shrdq $0x3b, %rbp, %rsi + movq 0x18(%rsp), %rax + movq %rsi, 0x18(%rsp) + xorq %r13, %rax + movq %rax, %rsi + sarq $0x3f, %rsi + andq %r12, %rsi + negq %rsi + mulq %r12 + addq %rax, %rbx + adcq %rdx, %rsi + movq 0x38(%rsp), %rax + xorq %r15, %rax + movq %rax, %rdx + sarq $0x3f, %rdx + andq %r14, %rdx + subq %rdx, %rsi + mulq %r14 + addq %rax, %rbx + adcq %rdx, %rsi + shrdq $0x3b, %rbx, %rdi + movq %rdi, 0x30(%rsp) + shrdq $0x3b, %rsi, %rbx + movq %rbx, 0x38(%rsp) + movq 0x80(%rsp), %rbx + movq 0x88(%rsp), %rbp + xorl %ecx, %ecx + movq 0x40(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x60(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + xorl %esi, %esi + movq 0x40(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, 0x40(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq 0x60(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, 0x60(%rsp) + xorl %ebx, %ebx + movq 0x48(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq 0x68(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rbx + xorl %ebp, %ebp + movq 0x48(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rcx, 0x48(%rsp) + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x68(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + movq %rsi, 0x68(%rsp) + xorl %ecx, %ecx + movq 0x50(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x70(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + xorl %esi, %esi + movq 0x50(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, 0x50(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq 0x70(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, 0x70(%rsp) + movq 0x58(%rsp), %rax + xorq %r9, %rax + movq %r9, %rbx + andq %r8, %rbx + negq %rbx + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq 0x78(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %rbx + mulq %r10 + addq %rax, %rcx + adcq %rbx, %rdx + movq %rdx, %rbx + shldq $0x1, %rcx, %rdx + sarq $0x3f, %rbx + addq %rbx, %rdx + movl $0x13, %eax + imulq %rdx + movq 0x40(%rsp), %r8 + addq %rax, %r8 + movq %r8, 0x40(%rsp) + movq 0x48(%rsp), %r8 + adcq %rdx, %r8 + movq %r8, 0x48(%rsp) + movq 0x50(%rsp), %r8 + adcq %rbx, %r8 + movq %r8, 0x50(%rsp) + adcq %rbx, %rcx + shlq $0x3f, %rax + addq %rax, %rcx + movq 0x58(%rsp), %rax + movq %rcx, 0x58(%rsp) + xorq %r13, %rax + movq %r13, %rcx + andq %r12, %rcx + negq %rcx + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rcx + movq 0x78(%rsp), %rax + xorq %r15, %rax + movq %r15, %rdx + andq %r14, %rdx + subq %rdx, %rcx + mulq %r14 + addq %rax, %rsi + adcq %rcx, %rdx + movq %rdx, %rcx + shldq $0x1, %rsi, %rdx + sarq $0x3f, %rcx + movl $0x13, %eax + addq %rcx, %rdx + imulq %rdx + movq 0x60(%rsp), %r8 + addq %rax, %r8 + movq %r8, 0x60(%rsp) + movq 0x68(%rsp), %r8 + adcq %rdx, %r8 + movq %r8, 0x68(%rsp) + movq 0x70(%rsp), %r8 + adcq %rcx, %r8 + movq %r8, 0x70(%rsp) + adcq %rcx, %rsi + shlq $0x3f, %rax + addq %rax, %rsi + movq %rsi, 0x78(%rsp) +Ledwards25519_scalarmulbase_midloop: + movq 0x98(%rsp), %rsi + movq (%rsp), %rdx + movq 0x20(%rsp), %rcx + movq %rdx, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq $0xfffffffffffffffe, %rax + xorl %ebp, %ebp + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %rdx + leaq (%rcx,%rax), %rdi + shlq $0x16, %rdx + shlq $0x16, %rdi + sarq $0x2b, %rdx + sarq $0x2b, %rdi + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %rbx + leaq (%rcx,%rax), %rcx + sarq $0x2a, %rbx + sarq $0x2a, %rcx + movq %rdx, 0xa0(%rsp) + movq %rbx, 0xa8(%rsp) + movq %rdi, 0xb0(%rsp) + movq %rcx, 0xb8(%rsp) + movq (%rsp), %r12 + imulq %r12, %rdi + imulq %rdx, %r12 + movq 0x20(%rsp), %r13 + imulq %r13, %rbx + imulq %rcx, %r13 + addq %rbx, %r12 + addq %rdi, %r13 + sarq $0x14, %r12 + sarq $0x14, %r13 + movq %r12, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + movq %r13, %rcx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq $0xfffffffffffffffe, %rax + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %r8 + leaq (%rcx,%rax), %r10 + shlq $0x16, %r8 + shlq $0x16, %r10 + sarq $0x2b, %r8 + sarq $0x2b, %r10 + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %r15 + leaq (%rcx,%rax), %r11 + sarq $0x2a, %r15 + sarq $0x2a, %r11 + movq %r13, %rbx + movq %r12, %rcx + imulq %r8, %r12 + imulq %r15, %rbx + addq %rbx, %r12 + imulq %r11, %r13 + imulq %r10, %rcx + addq %rcx, %r13 + sarq $0x14, %r12 + sarq $0x14, %r13 + movq %r12, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + movq %r13, %rcx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq 0xa0(%rsp), %rax + imulq %r8, %rax + movq 0xb0(%rsp), %rdx + imulq %r15, %rdx + imulq 0xa8(%rsp), %r8 + imulq 0xb8(%rsp), %r15 + addq %r8, %r15 + leaq (%rax,%rdx), %r9 + movq 0xa0(%rsp), %rax + imulq %r10, %rax + movq 0xb0(%rsp), %rdx + imulq %r11, %rdx + imulq 0xa8(%rsp), %r10 + imulq 0xb8(%rsp), %r11 + addq %r10, %r11 + leaq (%rax,%rdx), %r13 + movq $0xfffffffffffffffe, %rax + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %r8 + leaq (%rcx,%rax), %r12 + shlq $0x15, %r8 + shlq $0x15, %r12 + sarq $0x2b, %r8 + sarq $0x2b, %r12 + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %r10 + leaq (%rcx,%rax), %r14 + sarq $0x2b, %r10 + sarq $0x2b, %r14 + movq %r9, %rax + imulq %r8, %rax + movq %r13, %rdx + imulq %r10, %rdx + imulq %r15, %r8 + imulq %r11, %r10 + addq %r8, %r10 + leaq (%rax,%rdx), %r8 + movq %r9, %rax + imulq %r12, %rax + movq %r13, %rdx + imulq %r14, %rdx + imulq %r15, %r12 + imulq %r11, %r14 + addq %r12, %r14 + leaq (%rax,%rdx), %r12 + movq %rsi, 0x98(%rsp) + decq 0x90(%rsp) + jne Ledwards25519_scalarmulbase_inverseloop + movq (%rsp), %rax + movq 0x20(%rsp), %rcx + imulq %r8, %rax + imulq %r10, %rcx + addq %rcx, %rax + sarq $0x3f, %rax + movq %r8, %r9 + sarq $0x3f, %r9 + xorq %r9, %r8 + subq %r9, %r8 + xorq %rax, %r9 + movq %r10, %r11 + sarq $0x3f, %r11 + xorq %r11, %r10 + subq %r11, %r10 + xorq %rax, %r11 + movq %r12, %r13 + sarq $0x3f, %r13 + xorq %r13, %r12 + subq %r13, %r12 + xorq %rax, %r13 + movq %r14, %r15 + sarq $0x3f, %r15 + xorq %r15, %r14 + subq %r15, %r14 + xorq %rax, %r15 + movq %r8, %rax + andq %r9, %rax + movq %r10, %r12 + andq %r11, %r12 + addq %rax, %r12 + xorl %r13d, %r13d + movq 0x40(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x60(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movq 0x48(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r13 + adcq %rdx, %r14 + movq 0x68(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq 0x50(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x70(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x58(%rsp), %rax + xorq %r9, %rax + andq %r8, %r9 + negq %r9 + mulq %r8 + addq %rax, %r15 + adcq %rdx, %r9 + movq 0x78(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %r9 + mulq %r10 + addq %rax, %r15 + adcq %rdx, %r9 + movq %r9, %rax + shldq $0x1, %r15, %rax + sarq $0x3f, %r9 + movl $0x13, %ebx + leaq 0x1(%rax,%r9,1), %rax + imulq %rbx + xorl %ebp, %ebp + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r9, %r14 + adcq %r9, %r15 + shlq $0x3f, %rax + addq %rax, %r15 + cmovns %rbp, %rbx + subq %rbx, %r12 + sbbq %rbp, %r13 + sbbq %rbp, %r14 + sbbq %rbp, %r15 + btr $0x3f, %r15 + movq 0xc0(%rsp), %rdi + movq %r12, (%rdi) + movq %r13, 0x8(%rdi) + movq %r14, 0x10(%rdi) + movq %r15, 0x18(%rdi) + +// The final result is x = X * inv(Z), y = Y * inv(Z). +// These are the only operations in the whole computation that +// fully reduce modulo p_25519 since now we want the canonical +// answer as output. + + movq res, %rbp + mul_p25519(resx,x_3,w_3) + mul_p25519(resy,y_3,w_3) + +// Restore stack and registers + + CFI_INC_RSP(NSPACE) + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +#if WINDOWS_ABI +S2N_BN_SIZE_DIRECTIVE(Ledwards25519_scalarmulbase_standard) +#else +S2N_BN_SIZE_DIRECTIVE(edwards25519_scalarmulbase) +#endif + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif + +// **************************************************************************** +// The precomputed data (all read-only). +// **************************************************************************** + +#if defined(__ELF__) +.section .rodata +.type S2N_BN_SYMBOL(edwards25519_scalarmulbase_constant), %object +.size S2N_BN_SYMBOL(edwards25519_scalarmulbase_constant), 48576 +#elif defined(__APPLE__) +.const_data +#endif + +S2N_BN_SYMBOL(edwards25519_scalarmulbase_constant): + +// 0 * B = 0 and 2^251 * B in extended-projective coordinates +// but with Z = 1 assumed and hence left out, so they are (X,Y,T) only. + + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + + .quad 0x0000000000000001 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + + .quad 0x525f946d7c7220e7 + .quad 0x4636b0b2f1e35444 + .quad 0x796e9d70e892ae0f + .quad 0x03dec05fa937adb1 + .quad 0x6d1c271cc6375515 + .quad 0x462588c4a4ca4f14 + .quad 0x691129fee55afc39 + .quad 0x15949f784d8472f5 + .quad 0xbd89e510afad0049 + .quad 0x4d1f08c073b9860e + .quad 0x07716e8b2d00af9d + .quad 0x70d685f68f859714 + +// Precomputed table of multiples of generator for edwards25519 +// all in precomputed extended-projective (y-x,x+y,2*d*x*y) triples. + + // 2^0 * 1 * G + + .quad 0x9d103905d740913e + .quad 0xfd399f05d140beb3 + .quad 0xa5c18434688f8a09 + .quad 0x44fd2f9298f81267 + .quad 0x2fbc93c6f58c3b85 + .quad 0xcf932dc6fb8c0e19 + .quad 0x270b4898643d42c2 + .quad 0x07cf9d3a33d4ba65 + .quad 0xabc91205877aaa68 + .quad 0x26d9e823ccaac49e + .quad 0x5a1b7dcbdd43598c + .quad 0x6f117b689f0c65a8 + + // 2^0 * 2 * G + + .quad 0x8a99a56042b4d5a8 + .quad 0x8f2b810c4e60acf6 + .quad 0xe09e236bb16e37aa + .quad 0x6bb595a669c92555 + .quad 0x9224e7fc933c71d7 + .quad 0x9f469d967a0ff5b5 + .quad 0x5aa69a65e1d60702 + .quad 0x590c063fa87d2e2e + .quad 0x43faa8b3a59b7a5f + .quad 0x36c16bdd5d9acf78 + .quad 0x500fa0840b3d6a31 + .quad 0x701af5b13ea50b73 + + // 2^0 * 3 * G + + .quad 0x56611fe8a4fcd265 + .quad 0x3bd353fde5c1ba7d + .quad 0x8131f31a214bd6bd + .quad 0x2ab91587555bda62 + .quad 0xaf25b0a84cee9730 + .quad 0x025a8430e8864b8a + .quad 0xc11b50029f016732 + .quad 0x7a164e1b9a80f8f4 + .quad 0x14ae933f0dd0d889 + .quad 0x589423221c35da62 + .quad 0xd170e5458cf2db4c + .quad 0x5a2826af12b9b4c6 + + // 2^0 * 4 * G + + .quad 0x95fe050a056818bf + .quad 0x327e89715660faa9 + .quad 0xc3e8e3cd06a05073 + .quad 0x27933f4c7445a49a + .quad 0x287351b98efc099f + .quad 0x6765c6f47dfd2538 + .quad 0xca348d3dfb0a9265 + .quad 0x680e910321e58727 + .quad 0x5a13fbe9c476ff09 + .quad 0x6e9e39457b5cc172 + .quad 0x5ddbdcf9102b4494 + .quad 0x7f9d0cbf63553e2b + + // 2^0 * 5 * G + + .quad 0x7f9182c3a447d6ba + .quad 0xd50014d14b2729b7 + .quad 0xe33cf11cb864a087 + .quad 0x154a7e73eb1b55f3 + .quad 0xa212bc4408a5bb33 + .quad 0x8d5048c3c75eed02 + .quad 0xdd1beb0c5abfec44 + .quad 0x2945ccf146e206eb + .quad 0xbcbbdbf1812a8285 + .quad 0x270e0807d0bdd1fc + .quad 0xb41b670b1bbda72d + .quad 0x43aabe696b3bb69a + + // 2^0 * 6 * G + + .quad 0x499806b67b7d8ca4 + .quad 0x575be28427d22739 + .quad 0xbb085ce7204553b9 + .quad 0x38b64c41ae417884 + .quad 0x3a0ceeeb77157131 + .quad 0x9b27158900c8af88 + .quad 0x8065b668da59a736 + .quad 0x51e57bb6a2cc38bd + .quad 0x85ac326702ea4b71 + .quad 0xbe70e00341a1bb01 + .quad 0x53e4a24b083bc144 + .quad 0x10b8e91a9f0d61e3 + + // 2^0 * 7 * G + + .quad 0xba6f2c9aaa3221b1 + .quad 0x6ca021533bba23a7 + .quad 0x9dea764f92192c3a + .quad 0x1d6edd5d2e5317e0 + .quad 0x6b1a5cd0944ea3bf + .quad 0x7470353ab39dc0d2 + .quad 0x71b2528228542e49 + .quad 0x461bea69283c927e + .quad 0xf1836dc801b8b3a2 + .quad 0xb3035f47053ea49a + .quad 0x529c41ba5877adf3 + .quad 0x7a9fbb1c6a0f90a7 + + // 2^0 * 8 * G + + .quad 0xe2a75dedf39234d9 + .quad 0x963d7680e1b558f9 + .quad 0x2c2741ac6e3c23fb + .quad 0x3a9024a1320e01c3 + .quad 0x59b7596604dd3e8f + .quad 0x6cb30377e288702c + .quad 0xb1339c665ed9c323 + .quad 0x0915e76061bce52f + .quad 0xe7c1f5d9c9a2911a + .quad 0xb8a371788bcca7d7 + .quad 0x636412190eb62a32 + .quad 0x26907c5c2ecc4e95 + + // 2^4 * 1 * G + + .quad 0x7ec851ca553e2df3 + .quad 0xa71284cba64878b3 + .quad 0xe6b5e4193288d1e7 + .quad 0x4cf210ec5a9a8883 + .quad 0x322d04a52d9021f6 + .quad 0xb9c19f3375c6bf9c + .quad 0x587a3a4342d20b09 + .quad 0x143b1cf8aa64fe61 + .quad 0x9f867c7d968acaab + .quad 0x5f54258e27092729 + .quad 0xd0a7d34bea180975 + .quad 0x21b546a3374126e1 + + // 2^4 * 2 * G + + .quad 0xa94ff858a2888343 + .quad 0xce0ed4565313ed3c + .quad 0xf55c3dcfb5bf34fa + .quad 0x0a653ca5c9eab371 + .quad 0x490a7a45d185218f + .quad 0x9a15377846049335 + .quad 0x0060ea09cc31e1f6 + .quad 0x7e041577f86ee965 + .quad 0x66b2a496ce5b67f3 + .quad 0xff5492d8bd569796 + .quad 0x503cec294a592cd0 + .quad 0x566943650813acb2 + + // 2^4 * 3 * G + + .quad 0xb818db0c26620798 + .quad 0x5d5c31d9606e354a + .quad 0x0982fa4f00a8cdc7 + .quad 0x17e12bcd4653e2d4 + .quad 0x5672f9eb1dabb69d + .quad 0xba70b535afe853fc + .quad 0x47ac0f752796d66d + .quad 0x32a5351794117275 + .quad 0xd3a644a6df648437 + .quad 0x703b6559880fbfdd + .quad 0xcb852540ad3a1aa5 + .quad 0x0900b3f78e4c6468 + + // 2^4 * 4 * G + + .quad 0x0a851b9f679d651b + .quad 0xe108cb61033342f2 + .quad 0xd601f57fe88b30a3 + .quad 0x371f3acaed2dd714 + .quad 0xed280fbec816ad31 + .quad 0x52d9595bd8e6efe3 + .quad 0x0fe71772f6c623f5 + .quad 0x4314030b051e293c + .quad 0xd560005efbf0bcad + .quad 0x8eb70f2ed1870c5e + .quad 0x201f9033d084e6a0 + .quad 0x4c3a5ae1ce7b6670 + + // 2^4 * 5 * G + + .quad 0x4138a434dcb8fa95 + .quad 0x870cf67d6c96840b + .quad 0xde388574297be82c + .quad 0x7c814db27262a55a + .quad 0xbaf875e4c93da0dd + .quad 0xb93282a771b9294d + .quad 0x80d63fb7f4c6c460 + .quad 0x6de9c73dea66c181 + .quad 0x478904d5a04df8f2 + .quad 0xfafbae4ab10142d3 + .quad 0xf6c8ac63555d0998 + .quad 0x5aac4a412f90b104 + + // 2^4 * 6 * G + + .quad 0xc64f326b3ac92908 + .quad 0x5551b282e663e1e0 + .quad 0x476b35f54a1a4b83 + .quad 0x1b9da3fe189f68c2 + .quad 0x603a0d0abd7f5134 + .quad 0x8089c932e1d3ae46 + .quad 0xdf2591398798bd63 + .quad 0x1c145cd274ba0235 + .quad 0x32e8386475f3d743 + .quad 0x365b8baf6ae5d9ef + .quad 0x825238b6385b681e + .quad 0x234929c1167d65e1 + + // 2^4 * 7 * G + + .quad 0x984decaba077ade8 + .quad 0x383f77ad19eb389d + .quad 0xc7ec6b7e2954d794 + .quad 0x59c77b3aeb7c3a7a + .quad 0x48145cc21d099fcf + .quad 0x4535c192cc28d7e5 + .quad 0x80e7c1e548247e01 + .quad 0x4a5f28743b2973ee + .quad 0xd3add725225ccf62 + .quad 0x911a3381b2152c5d + .quad 0xd8b39fad5b08f87d + .quad 0x6f05606b4799fe3b + + // 2^4 * 8 * G + + .quad 0x9ffe9e92177ba962 + .quad 0x98aee71d0de5cae1 + .quad 0x3ff4ae942d831044 + .quad 0x714de12e58533ac8 + .quad 0x5b433149f91b6483 + .quad 0xadb5dc655a2cbf62 + .quad 0x87fa8412632827b3 + .quad 0x60895e91ab49f8d8 + .quad 0xe9ecf2ed0cf86c18 + .quad 0xb46d06120735dfd4 + .quad 0xbc9da09804b96be7 + .quad 0x73e2e62fd96dc26b + + // 2^8 * 1 * G + + .quad 0xed5b635449aa515e + .quad 0xa865c49f0bc6823a + .quad 0x850c1fe95b42d1c4 + .quad 0x30d76d6f03d315b9 + .quad 0x2eccdd0e632f9c1d + .quad 0x51d0b69676893115 + .quad 0x52dfb76ba8637a58 + .quad 0x6dd37d49a00eef39 + .quad 0x6c4444172106e4c7 + .quad 0xfb53d680928d7f69 + .quad 0xb4739ea4694d3f26 + .quad 0x10c697112e864bb0 + + // 2^8 * 2 * G + + .quad 0x6493c4277dbe5fde + .quad 0x265d4fad19ad7ea2 + .quad 0x0e00dfc846304590 + .quad 0x25e61cabed66fe09 + .quad 0x0ca62aa08358c805 + .quad 0x6a3d4ae37a204247 + .quad 0x7464d3a63b11eddc + .quad 0x03bf9baf550806ef + .quad 0x3f13e128cc586604 + .quad 0x6f5873ecb459747e + .quad 0xa0b63dedcc1268f5 + .quad 0x566d78634586e22c + + // 2^8 * 3 * G + + .quad 0x1637a49f9cc10834 + .quad 0xbc8e56d5a89bc451 + .quad 0x1cb5ec0f7f7fd2db + .quad 0x33975bca5ecc35d9 + .quad 0xa1054285c65a2fd0 + .quad 0x6c64112af31667c3 + .quad 0x680ae240731aee58 + .quad 0x14fba5f34793b22a + .quad 0x3cd746166985f7d4 + .quad 0x593e5e84c9c80057 + .quad 0x2fc3f2b67b61131e + .quad 0x14829cea83fc526c + + // 2^8 * 4 * G + + .quad 0xff437b8497dd95c2 + .quad 0x6c744e30aa4eb5a7 + .quad 0x9e0c5d613c85e88b + .quad 0x2fd9c71e5f758173 + .quad 0x21e70b2f4e71ecb8 + .quad 0xe656ddb940a477e3 + .quad 0xbf6556cece1d4f80 + .quad 0x05fc3bc4535d7b7e + .quad 0x24b8b3ae52afdedd + .quad 0x3495638ced3b30cf + .quad 0x33a4bc83a9be8195 + .quad 0x373767475c651f04 + + // 2^8 * 5 * G + + .quad 0x2fba99fd40d1add9 + .quad 0xb307166f96f4d027 + .quad 0x4363f05215f03bae + .quad 0x1fbea56c3b18f999 + .quad 0x634095cb14246590 + .quad 0xef12144016c15535 + .quad 0x9e38140c8910bc60 + .quad 0x6bf5905730907c8c + .quad 0x0fa778f1e1415b8a + .quad 0x06409ff7bac3a77e + .quad 0x6f52d7b89aa29a50 + .quad 0x02521cf67a635a56 + + // 2^8 * 6 * G + + .quad 0x513fee0b0a9d5294 + .quad 0x8f98e75c0fdf5a66 + .quad 0xd4618688bfe107ce + .quad 0x3fa00a7e71382ced + .quad 0xb1146720772f5ee4 + .quad 0xe8f894b196079ace + .quad 0x4af8224d00ac824a + .quad 0x001753d9f7cd6cc4 + .quad 0x3c69232d963ddb34 + .quad 0x1dde87dab4973858 + .quad 0xaad7d1f9a091f285 + .quad 0x12b5fe2fa048edb6 + + // 2^8 * 7 * G + + .quad 0x71f0fbc496fce34d + .quad 0x73b9826badf35bed + .quad 0xd2047261ff28c561 + .quad 0x749b76f96fb1206f + .quad 0xdf2b7c26ad6f1e92 + .quad 0x4b66d323504b8913 + .quad 0x8c409dc0751c8bc3 + .quad 0x6f7e93c20796c7b8 + .quad 0x1f5af604aea6ae05 + .quad 0xc12351f1bee49c99 + .quad 0x61a808b5eeff6b66 + .quad 0x0fcec10f01e02151 + + // 2^8 * 8 * G + + .quad 0x644d58a649fe1e44 + .quad 0x21fcaea231ad777e + .quad 0x02441c5a887fd0d2 + .quad 0x4901aa7183c511f3 + .quad 0x3df2d29dc4244e45 + .quad 0x2b020e7493d8de0a + .quad 0x6cc8067e820c214d + .quad 0x413779166feab90a + .quad 0x08b1b7548c1af8f0 + .quad 0xce0f7a7c246299b4 + .quad 0xf760b0f91e06d939 + .quad 0x41bb887b726d1213 + + // 2^12 * 1 * G + + .quad 0x9267806c567c49d8 + .quad 0x066d04ccca791e6a + .quad 0xa69f5645e3cc394b + .quad 0x5c95b686a0788cd2 + .quad 0x97d980e0aa39f7d2 + .quad 0x35d0384252c6b51c + .quad 0x7d43f49307cd55aa + .quad 0x56bd36cfb78ac362 + .quad 0x2ac519c10d14a954 + .quad 0xeaf474b494b5fa90 + .quad 0xe6af8382a9f87a5a + .quad 0x0dea6db1879be094 + + // 2^12 * 2 * G + + .quad 0xaa66bf547344e5ab + .quad 0xda1258888f1b4309 + .quad 0x5e87d2b3fd564b2f + .quad 0x5b2c78885483b1dd + .quad 0x15baeb74d6a8797a + .quad 0x7ef55cf1fac41732 + .quad 0x29001f5a3c8b05c5 + .quad 0x0ad7cc8752eaccfb + .quad 0x52151362793408cf + .quad 0xeb0f170319963d94 + .quad 0xa833b2fa883d9466 + .quad 0x093a7fa775003c78 + + // 2^12 * 3 * G + + .quad 0xe5107de63a16d7be + .quad 0xa377ffdc9af332cf + .quad 0x70d5bf18440b677f + .quad 0x6a252b19a4a31403 + .quad 0xb8e9604460a91286 + .quad 0x7f3fd8047778d3de + .quad 0x67d01e31bf8a5e2d + .quad 0x7b038a06c27b653e + .quad 0x9ed919d5d36990f3 + .quad 0x5213aebbdb4eb9f2 + .quad 0xc708ea054cb99135 + .quad 0x58ded57f72260e56 + + // 2^12 * 4 * G + + .quad 0x78e79dade9413d77 + .quad 0xf257f9d59729e67d + .quad 0x59db910ee37aa7e6 + .quad 0x6aa11b5bbb9e039c + .quad 0xda6d53265b0fd48b + .quad 0x8960823193bfa988 + .quad 0xd78ac93261d57e28 + .quad 0x79f2942d3a5c8143 + .quad 0x97da2f25b6c88de9 + .quad 0x251ba7eaacf20169 + .quad 0x09b44f87ef4eb4e4 + .quad 0x7d90ab1bbc6a7da5 + + // 2^12 * 5 * G + + .quad 0x9acca683a7016bfe + .quad 0x90505f4df2c50b6d + .quad 0x6b610d5fcce435aa + .quad 0x19a10d446198ff96 + .quad 0x1a07a3f496b3c397 + .quad 0x11ceaa188f4e2532 + .quad 0x7d9498d5a7751bf0 + .quad 0x19ed161f508dd8a0 + .quad 0x560a2cd687dce6ca + .quad 0x7f3568c48664cf4d + .quad 0x8741e95222803a38 + .quad 0x483bdab1595653fc + + // 2^12 * 6 * G + + .quad 0xfa780f148734fa49 + .quad 0x106f0b70360534e0 + .quad 0x2210776fe3e307bd + .quad 0x3286c109dde6a0fe + .quad 0xd6cf4d0ab4da80f6 + .quad 0x82483e45f8307fe0 + .quad 0x05005269ae6f9da4 + .quad 0x1c7052909cf7877a + .quad 0x32ee7de2874e98d4 + .quad 0x14c362e9b97e0c60 + .quad 0x5781dcde6a60a38a + .quad 0x217dd5eaaa7aa840 + + // 2^12 * 7 * G + + .quad 0x9db7c4d0248e1eb0 + .quad 0xe07697e14d74bf52 + .quad 0x1e6a9b173c562354 + .quad 0x7fa7c21f795a4965 + .quad 0x8bdf1fb9be8c0ec8 + .quad 0x00bae7f8e30a0282 + .quad 0x4963991dad6c4f6c + .quad 0x07058a6e5df6f60a + .quad 0xe9eb02c4db31f67f + .quad 0xed25fd8910bcfb2b + .quad 0x46c8131f5c5cddb4 + .quad 0x33b21c13a0cb9bce + + // 2^12 * 8 * G + + .quad 0x360692f8087d8e31 + .quad 0xf4dcc637d27163f7 + .quad 0x25a4e62065ea5963 + .quad 0x659bf72e5ac160d9 + .quad 0x9aafb9b05ee38c5b + .quad 0xbf9d2d4e071a13c7 + .quad 0x8eee6e6de933290a + .quad 0x1c3bab17ae109717 + .quad 0x1c9ab216c7cab7b0 + .quad 0x7d65d37407bbc3cc + .quad 0x52744750504a58d5 + .quad 0x09f2606b131a2990 + + // 2^16 * 1 * G + + .quad 0x40e87d44744346be + .quad 0x1d48dad415b52b25 + .quad 0x7c3a8a18a13b603e + .quad 0x4eb728c12fcdbdf7 + .quad 0x7e234c597c6691ae + .quad 0x64889d3d0a85b4c8 + .quad 0xdae2c90c354afae7 + .quad 0x0a871e070c6a9e1d + .quad 0x3301b5994bbc8989 + .quad 0x736bae3a5bdd4260 + .quad 0x0d61ade219d59e3c + .quad 0x3ee7300f2685d464 + + // 2^16 * 2 * G + + .quad 0xf5d255e49e7dd6b7 + .quad 0x8016115c610b1eac + .quad 0x3c99975d92e187ca + .quad 0x13815762979125c2 + .quad 0x43fa7947841e7518 + .quad 0xe5c6fa59639c46d7 + .quad 0xa1065e1de3052b74 + .quad 0x7d47c6a2cfb89030 + .quad 0x3fdad0148ef0d6e0 + .quad 0x9d3e749a91546f3c + .quad 0x71ec621026bb8157 + .quad 0x148cf58d34c9ec80 + + // 2^16 * 3 * G + + .quad 0x46a492f67934f027 + .quad 0x469984bef6840aa9 + .quad 0x5ca1bc2a89611854 + .quad 0x3ff2fa1ebd5dbbd4 + .quad 0xe2572f7d9ae4756d + .quad 0x56c345bb88f3487f + .quad 0x9fd10b6d6960a88d + .quad 0x278febad4eaea1b9 + .quad 0xb1aa681f8c933966 + .quad 0x8c21949c20290c98 + .quad 0x39115291219d3c52 + .quad 0x4104dd02fe9c677b + + // 2^16 * 4 * G + + .quad 0x72b2bf5e1124422a + .quad 0xa1fa0c3398a33ab5 + .quad 0x94cb6101fa52b666 + .quad 0x2c863b00afaf53d5 + .quad 0x81214e06db096ab8 + .quad 0x21a8b6c90ce44f35 + .quad 0x6524c12a409e2af5 + .quad 0x0165b5a48efca481 + .quad 0xf190a474a0846a76 + .quad 0x12eff984cd2f7cc0 + .quad 0x695e290658aa2b8f + .quad 0x591b67d9bffec8b8 + + // 2^16 * 5 * G + + .quad 0x312f0d1c80b49bfa + .quad 0x5979515eabf3ec8a + .quad 0x727033c09ef01c88 + .quad 0x3de02ec7ca8f7bcb + .quad 0x99b9b3719f18b55d + .quad 0xe465e5faa18c641e + .quad 0x61081136c29f05ed + .quad 0x489b4f867030128b + .quad 0xd232102d3aeb92ef + .quad 0xe16253b46116a861 + .quad 0x3d7eabe7190baa24 + .quad 0x49f5fbba496cbebf + + // 2^16 * 6 * G + + .quad 0x30949a108a5bcfd4 + .quad 0xdc40dd70bc6473eb + .quad 0x92c294c1307c0d1c + .quad 0x5604a86dcbfa6e74 + .quad 0x155d628c1e9c572e + .quad 0x8a4d86acc5884741 + .quad 0x91a352f6515763eb + .quad 0x06a1a6c28867515b + .quad 0x7288d1d47c1764b6 + .quad 0x72541140e0418b51 + .quad 0x9f031a6018acf6d1 + .quad 0x20989e89fe2742c6 + + // 2^16 * 7 * G + + .quad 0x499777fd3a2dcc7f + .quad 0x32857c2ca54fd892 + .quad 0xa279d864d207e3a0 + .quad 0x0403ed1d0ca67e29 + .quad 0x1674278b85eaec2e + .quad 0x5621dc077acb2bdf + .quad 0x640a4c1661cbf45a + .quad 0x730b9950f70595d3 + .quad 0xc94b2d35874ec552 + .quad 0xc5e6c8cf98246f8d + .quad 0xf7cb46fa16c035ce + .quad 0x5bd7454308303dcc + + // 2^16 * 8 * G + + .quad 0x7f9ad19528b24cc2 + .quad 0x7f6b54656335c181 + .quad 0x66b8b66e4fc07236 + .quad 0x133a78007380ad83 + .quad 0x85c4932115e7792a + .quad 0xc64c89a2bdcdddc9 + .quad 0x9d1e3da8ada3d762 + .quad 0x5bb7db123067f82c + .quad 0x0961f467c6ca62be + .quad 0x04ec21d6211952ee + .quad 0x182360779bd54770 + .quad 0x740dca6d58f0e0d2 + + // 2^20 * 1 * G + + .quad 0x50b70bf5d3f0af0b + .quad 0x4feaf48ae32e71f7 + .quad 0x60e84ed3a55bbd34 + .quad 0x00ed489b3f50d1ed + .quad 0x3906c72aed261ae5 + .quad 0x9ab68fd988e100f7 + .quad 0xf5e9059af3360197 + .quad 0x0e53dc78bf2b6d47 + .quad 0xb90829bf7971877a + .quad 0x5e4444636d17e631 + .quad 0x4d05c52e18276893 + .quad 0x27632d9a5a4a4af5 + + // 2^20 * 2 * G + + .quad 0xd11ff05154b260ce + .quad 0xd86dc38e72f95270 + .quad 0x601fcd0d267cc138 + .quad 0x2b67916429e90ccd + .quad 0xa98285d187eaffdb + .quad 0xa5b4fbbbd8d0a864 + .quad 0xb658f27f022663f7 + .quad 0x3bbc2b22d99ce282 + .quad 0xb917c952583c0a58 + .quad 0x653ff9b80fe4c6f3 + .quad 0x9b0da7d7bcdf3c0c + .quad 0x43a0eeb6ab54d60e + + // 2^20 * 3 * G + + .quad 0x396966a46d4a5487 + .quad 0xf811a18aac2bb3ba + .quad 0x66e4685b5628b26b + .quad 0x70a477029d929b92 + .quad 0x3ac6322357875fe8 + .quad 0xd9d4f4ecf5fbcb8f + .quad 0x8dee8493382bb620 + .quad 0x50c5eaa14c799fdc + .quad 0xdd0edc8bd6f2fb3c + .quad 0x54c63aa79cc7b7a0 + .quad 0xae0b032b2c8d9f1a + .quad 0x6f9ce107602967fb + + // 2^20 * 4 * G + + .quad 0xad1054b1cde1c22a + .quad 0xc4a8e90248eb32df + .quad 0x5f3e7b33accdc0ea + .quad 0x72364713fc79963e + .quad 0x139693063520e0b5 + .quad 0x437fcf7c88ea03fe + .quad 0xf7d4c40bd3c959bc + .quad 0x699154d1f893ded9 + .quad 0x315d5c75b4b27526 + .quad 0xcccb842d0236daa5 + .quad 0x22f0c8a3345fee8e + .quad 0x73975a617d39dbed + + // 2^20 * 5 * G + + .quad 0xe4024df96375da10 + .quad 0x78d3251a1830c870 + .quad 0x902b1948658cd91c + .quad 0x7e18b10b29b7438a + .quad 0x6f37f392f4433e46 + .quad 0x0e19b9a11f566b18 + .quad 0x220fb78a1fd1d662 + .quad 0x362a4258a381c94d + .quad 0x9071d9132b6beb2f + .quad 0x0f26e9ad28418247 + .quad 0xeab91ec9bdec925d + .quad 0x4be65bc8f48af2de + + // 2^20 * 6 * G + + .quad 0x78487feba36e7028 + .quad 0x5f3f13001dd8ce34 + .quad 0x934fb12d4b30c489 + .quad 0x056c244d397f0a2b + .quad 0x1d50fba257c26234 + .quad 0x7bd4823adeb0678b + .quad 0xc2b0dc6ea6538af5 + .quad 0x5665eec6351da73e + .quad 0xdb3ee00943bfb210 + .quad 0x4972018720800ac2 + .quad 0x26ab5d6173bd8667 + .quad 0x20b209c2ab204938 + + // 2^20 * 7 * G + + .quad 0x549e342ac07fb34b + .quad 0x02d8220821373d93 + .quad 0xbc262d70acd1f567 + .quad 0x7a92c9fdfbcac784 + .quad 0x1fcca94516bd3289 + .quad 0x448d65aa41420428 + .quad 0x59c3b7b216a55d62 + .quad 0x49992cc64e612cd8 + .quad 0x65bd1bea70f801de + .quad 0x1befb7c0fe49e28a + .quad 0xa86306cdb1b2ae4a + .quad 0x3b7ac0cd265c2a09 + + // 2^20 * 8 * G + + .quad 0x822bee438c01bcec + .quad 0x530cb525c0fbc73b + .quad 0x48519034c1953fe9 + .quad 0x265cc261e09a0f5b + .quad 0xf0d54e4f22ed39a7 + .quad 0xa2aae91e5608150a + .quad 0xf421b2e9eddae875 + .quad 0x31bc531d6b7de992 + .quad 0xdf3d134da980f971 + .quad 0x7a4fb8d1221a22a7 + .quad 0x3df7d42035aad6d8 + .quad 0x2a14edcc6a1a125e + + // 2^24 * 1 * G + + .quad 0xdf48ee0752cfce4e + .quad 0xc3fffaf306ec08b7 + .quad 0x05710b2ab95459c4 + .quad 0x161d25fa963ea38d + .quad 0x231a8c570478433c + .quad 0xb7b5270ec281439d + .quad 0xdbaa99eae3d9079f + .quad 0x2c03f5256c2b03d9 + .quad 0x790f18757b53a47d + .quad 0x307b0130cf0c5879 + .quad 0x31903d77257ef7f9 + .quad 0x699468bdbd96bbaf + + // 2^24 * 2 * G + + .quad 0xbd1f2f46f4dafecf + .quad 0x7cef0114a47fd6f7 + .quad 0xd31ffdda4a47b37f + .quad 0x525219a473905785 + .quad 0xd8dd3de66aa91948 + .quad 0x485064c22fc0d2cc + .quad 0x9b48246634fdea2f + .quad 0x293e1c4e6c4a2e3a + .quad 0x376e134b925112e1 + .quad 0x703778b5dca15da0 + .quad 0xb04589af461c3111 + .quad 0x5b605c447f032823 + + // 2^24 * 3 * G + + .quad 0xb965805920c47c89 + .quad 0xe7f0100c923b8fcc + .quad 0x0001256502e2ef77 + .quad 0x24a76dcea8aeb3ee + .quad 0x3be9fec6f0e7f04c + .quad 0x866a579e75e34962 + .quad 0x5542ef161e1de61a + .quad 0x2f12fef4cc5abdd5 + .quad 0x0a4522b2dfc0c740 + .quad 0x10d06e7f40c9a407 + .quad 0xc6cf144178cff668 + .quad 0x5e607b2518a43790 + + // 2^24 * 4 * G + + .quad 0x58b31d8f6cdf1818 + .quad 0x35cfa74fc36258a2 + .quad 0xe1b3ff4f66e61d6e + .quad 0x5067acab6ccdd5f7 + .quad 0xa02c431ca596cf14 + .quad 0xe3c42d40aed3e400 + .quad 0xd24526802e0f26db + .quad 0x201f33139e457068 + .quad 0xfd527f6b08039d51 + .quad 0x18b14964017c0006 + .quad 0xd5220eb02e25a4a8 + .quad 0x397cba8862460375 + + // 2^24 * 5 * G + + .quad 0x30c13093f05959b2 + .quad 0xe23aa18de9a97976 + .quad 0x222fd491721d5e26 + .quad 0x2339d320766e6c3a + .quad 0x7815c3fbc81379e7 + .quad 0xa6619420dde12af1 + .quad 0xffa9c0f885a8fdd5 + .quad 0x771b4022c1e1c252 + .quad 0xd87dd986513a2fa7 + .quad 0xf5ac9b71f9d4cf08 + .quad 0xd06bc31b1ea283b3 + .quad 0x331a189219971a76 + + // 2^24 * 6 * G + + .quad 0xf5166f45fb4f80c6 + .quad 0x9c36c7de61c775cf + .quad 0xe3d4e81b9041d91c + .quad 0x31167c6b83bdfe21 + .quad 0x26512f3a9d7572af + .quad 0x5bcbe28868074a9e + .quad 0x84edc1c11180f7c4 + .quad 0x1ac9619ff649a67b + .quad 0xf22b3842524b1068 + .quad 0x5068343bee9ce987 + .quad 0xfc9d71844a6250c8 + .quad 0x612436341f08b111 + + // 2^24 * 7 * G + + .quad 0xd99d41db874e898d + .quad 0x09fea5f16c07dc20 + .quad 0x793d2c67d00f9bbc + .quad 0x46ebe2309e5eff40 + .quad 0x8b6349e31a2d2638 + .quad 0x9ddfb7009bd3fd35 + .quad 0x7f8bf1b8a3a06ba4 + .quad 0x1522aa3178d90445 + .quad 0x2c382f5369614938 + .quad 0xdafe409ab72d6d10 + .quad 0xe8c83391b646f227 + .quad 0x45fe70f50524306c + + // 2^24 * 8 * G + + .quad 0xda4875a6960c0b8c + .quad 0x5b68d076ef0e2f20 + .quad 0x07fb51cf3d0b8fd4 + .quad 0x428d1623a0e392d4 + .quad 0x62f24920c8951491 + .quad 0x05f007c83f630ca2 + .quad 0x6fbb45d2f5c9d4b8 + .quad 0x16619f6db57a2245 + .quad 0x084f4a4401a308fd + .quad 0xa82219c376a5caac + .quad 0xdeb8de4643d1bc7d + .quad 0x1d81592d60bd38c6 + + // 2^28 * 1 * G + + .quad 0xd833d7beec2a4c38 + .quad 0x2c9162830acc20ed + .quad 0xe93a47aa92df7581 + .quad 0x702d67a3333c4a81 + .quad 0x3a4a369a2f89c8a1 + .quad 0x63137a1d7c8de80d + .quad 0xbcac008a78eda015 + .quad 0x2cb8b3a5b483b03f + .quad 0x36e417cbcb1b90a1 + .quad 0x33b3ddaa7f11794e + .quad 0x3f510808885bc607 + .quad 0x24141dc0e6a8020d + + // 2^28 * 2 * G + + .quad 0x59f73c773fefee9d + .quad 0xb3f1ef89c1cf989d + .quad 0xe35dfb42e02e545f + .quad 0x5766120b47a1b47c + .quad 0x91925dccbd83157d + .quad 0x3ca1205322cc8094 + .quad 0x28e57f183f90d6e4 + .quad 0x1a4714cede2e767b + .quad 0xdb20ba0fb8b6b7ff + .quad 0xb732c3b677511fa1 + .quad 0xa92b51c099f02d89 + .quad 0x4f3875ad489ca5f1 + + // 2^28 * 3 * G + + .quad 0xc7fc762f4932ab22 + .quad 0x7ac0edf72f4c3c1b + .quad 0x5f6b55aa9aa895e8 + .quad 0x3680274dad0a0081 + .quad 0x79ed13f6ee73eec0 + .quad 0xa5c6526d69110bb1 + .quad 0xe48928c38603860c + .quad 0x722a1446fd7059f5 + .quad 0xd0959fe9a8cf8819 + .quad 0xd0a995508475a99c + .quad 0x6eac173320b09cc5 + .quad 0x628ecf04331b1095 + + // 2^28 * 4 * G + + .quad 0x98bcb118a9d0ddbc + .quad 0xee449e3408b4802b + .quad 0x87089226b8a6b104 + .quad 0x685f349a45c7915d + .quad 0x9b41acf85c74ccf1 + .quad 0xb673318108265251 + .quad 0x99c92aed11adb147 + .quad 0x7a47d70d34ecb40f + .quad 0x60a0c4cbcc43a4f5 + .quad 0x775c66ca3677bea9 + .quad 0xa17aa1752ff8f5ed + .quad 0x11ded9020e01fdc0 + + // 2^28 * 5 * G + + .quad 0x890e7809caefe704 + .quad 0x8728296de30e8c6c + .quad 0x4c5cd2a392aeb1c9 + .quad 0x194263d15771531f + .quad 0x471f95b03bea93b7 + .quad 0x0552d7d43313abd3 + .quad 0xbd9370e2e17e3f7b + .quad 0x7b120f1db20e5bec + .quad 0x17d2fb3d86502d7a + .quad 0xb564d84450a69352 + .quad 0x7da962c8a60ed75d + .quad 0x00d0f85b318736aa + + // 2^28 * 6 * G + + .quad 0x978b142e777c84fd + .quad 0xf402644705a8c062 + .quad 0xa67ad51be7e612c7 + .quad 0x2f7b459698dd6a33 + .quad 0xa6753c1efd7621c1 + .quad 0x69c0b4a7445671f5 + .quad 0x971f527405b23c11 + .quad 0x387bc74851a8c7cd + .quad 0x81894b4d4a52a9a8 + .quad 0xadd93e12f6b8832f + .quad 0x184d8548b61bd638 + .quad 0x3f1c62dbd6c9f6cd + + // 2^28 * 7 * G + + .quad 0x2e8f1f0091910c1f + .quad 0xa4df4fe0bff2e12c + .quad 0x60c6560aee927438 + .quad 0x6338283facefc8fa + .quad 0x3fad3e40148f693d + .quad 0x052656e194eb9a72 + .quad 0x2f4dcbfd184f4e2f + .quad 0x406f8db1c482e18b + .quad 0x9e630d2c7f191ee4 + .quad 0x4fbf8301bc3ff670 + .quad 0x787d8e4e7afb73c4 + .quad 0x50d83d5be8f58fa5 + + // 2^28 * 8 * G + + .quad 0x85683916c11a1897 + .quad 0x2d69a4efe506d008 + .quad 0x39af1378f664bd01 + .quad 0x65942131361517c6 + .quad 0xc0accf90b4d3b66d + .quad 0xa7059de561732e60 + .quad 0x033d1f7870c6b0ba + .quad 0x584161cd26d946e4 + .quad 0xbbf2b1a072d27ca2 + .quad 0xbf393c59fbdec704 + .quad 0xe98dbbcee262b81e + .quad 0x02eebd0b3029b589 + + // 2^32 * 1 * G + + .quad 0x61368756a60dac5f + .quad 0x17e02f6aebabdc57 + .quad 0x7f193f2d4cce0f7d + .quad 0x20234a7789ecdcf0 + .quad 0x8765b69f7b85c5e8 + .quad 0x6ff0678bd168bab2 + .quad 0x3a70e77c1d330f9b + .quad 0x3a5f6d51b0af8e7c + .quad 0x76d20db67178b252 + .quad 0x071c34f9d51ed160 + .quad 0xf62a4a20b3e41170 + .quad 0x7cd682353cffe366 + + // 2^32 * 2 * G + + .quad 0x0be1a45bd887fab6 + .quad 0x2a846a32ba403b6e + .quad 0xd9921012e96e6000 + .quad 0x2838c8863bdc0943 + .quad 0xa665cd6068acf4f3 + .quad 0x42d92d183cd7e3d3 + .quad 0x5759389d336025d9 + .quad 0x3ef0253b2b2cd8ff + .quad 0xd16bb0cf4a465030 + .quad 0xfa496b4115c577ab + .quad 0x82cfae8af4ab419d + .quad 0x21dcb8a606a82812 + + // 2^32 * 3 * G + + .quad 0x5c6004468c9d9fc8 + .quad 0x2540096ed42aa3cb + .quad 0x125b4d4c12ee2f9c + .quad 0x0bc3d08194a31dab + .quad 0x9a8d00fabe7731ba + .quad 0x8203607e629e1889 + .quad 0xb2cc023743f3d97f + .quad 0x5d840dbf6c6f678b + .quad 0x706e380d309fe18b + .quad 0x6eb02da6b9e165c7 + .quad 0x57bbba997dae20ab + .quad 0x3a4276232ac196dd + + // 2^32 * 4 * G + + .quad 0x4b42432c8a7084fa + .quad 0x898a19e3dfb9e545 + .quad 0xbe9f00219c58e45d + .quad 0x1ff177cea16debd1 + .quad 0x3bf8c172db447ecb + .quad 0x5fcfc41fc6282dbd + .quad 0x80acffc075aa15fe + .quad 0x0770c9e824e1a9f9 + .quad 0xcf61d99a45b5b5fd + .quad 0x860984e91b3a7924 + .quad 0xe7300919303e3e89 + .quad 0x39f264fd41500b1e + + // 2^32 * 5 * G + + .quad 0xa7ad3417dbe7e29c + .quad 0xbd94376a2b9c139c + .quad 0xa0e91b8e93597ba9 + .quad 0x1712d73468889840 + .quad 0xd19b4aabfe097be1 + .quad 0xa46dfce1dfe01929 + .quad 0xc3c908942ca6f1ff + .quad 0x65c621272c35f14e + .quad 0xe72b89f8ce3193dd + .quad 0x4d103356a125c0bb + .quad 0x0419a93d2e1cfe83 + .quad 0x22f9800ab19ce272 + + // 2^32 * 6 * G + + .quad 0x605a368a3e9ef8cb + .quad 0xe3e9c022a5504715 + .quad 0x553d48b05f24248f + .quad 0x13f416cd647626e5 + .quad 0x42029fdd9a6efdac + .quad 0xb912cebe34a54941 + .quad 0x640f64b987bdf37b + .quad 0x4171a4d38598cab4 + .quad 0xfa2758aa99c94c8c + .quad 0x23006f6fb000b807 + .quad 0xfbd291ddadda5392 + .quad 0x508214fa574bd1ab + + // 2^32 * 7 * G + + .quad 0xc20269153ed6fe4b + .quad 0xa65a6739511d77c4 + .quad 0xcbde26462c14af94 + .quad 0x22f960ec6faba74b + .quad 0x461a15bb53d003d6 + .quad 0xb2102888bcf3c965 + .quad 0x27c576756c683a5a + .quad 0x3a7758a4c86cb447 + .quad 0x548111f693ae5076 + .quad 0x1dae21df1dfd54a6 + .quad 0x12248c90f3115e65 + .quad 0x5d9fd15f8de7f494 + + // 2^32 * 8 * G + + .quad 0x031408d36d63727f + .quad 0x6a379aefd7c7b533 + .quad 0xa9e18fc5ccaee24b + .quad 0x332f35914f8fbed3 + .quad 0x3f244d2aeed7521e + .quad 0x8e3a9028432e9615 + .quad 0xe164ba772e9c16d4 + .quad 0x3bc187fa47eb98d8 + .quad 0x6d470115ea86c20c + .quad 0x998ab7cb6c46d125 + .quad 0xd77832b53a660188 + .quad 0x450d81ce906fba03 + + // 2^36 * 1 * G + + .quad 0xf8ae4d2ad8453902 + .quad 0x7018058ee8db2d1d + .quad 0xaab3995fc7d2c11e + .quad 0x53b16d2324ccca79 + .quad 0x23264d66b2cae0b5 + .quad 0x7dbaed33ebca6576 + .quad 0x030ebed6f0d24ac8 + .quad 0x2a887f78f7635510 + .quad 0x2a23b9e75c012d4f + .quad 0x0c974651cae1f2ea + .quad 0x2fb63273675d70ca + .quad 0x0ba7250b864403f5 + + // 2^36 * 2 * G + + .quad 0xbb0d18fd029c6421 + .quad 0xbc2d142189298f02 + .quad 0x8347f8e68b250e96 + .quad 0x7b9f2fe8032d71c9 + .quad 0xdd63589386f86d9c + .quad 0x61699176e13a85a4 + .quad 0x2e5111954eaa7d57 + .quad 0x32c21b57fb60bdfb + .quad 0xd87823cd319e0780 + .quad 0xefc4cfc1897775c5 + .quad 0x4854fb129a0ab3f7 + .quad 0x12c49d417238c371 + + // 2^36 * 3 * G + + .quad 0x0950b533ffe83769 + .quad 0x21861c1d8e1d6bd1 + .quad 0xf022d8381302e510 + .quad 0x2509200c6391cab4 + .quad 0x09b3a01783799542 + .quad 0x626dd08faad5ee3f + .quad 0xba00bceeeb70149f + .quad 0x1421b246a0a444c9 + .quad 0x4aa43a8e8c24a7c7 + .quad 0x04c1f540d8f05ef5 + .quad 0xadba5e0c0b3eb9dc + .quad 0x2ab5504448a49ce3 + + // 2^36 * 4 * G + + .quad 0x2ed227266f0f5dec + .quad 0x9824ee415ed50824 + .quad 0x807bec7c9468d415 + .quad 0x7093bae1b521e23f + .quad 0xdc07ac631c5d3afa + .quad 0x58615171f9df8c6c + .quad 0x72a079d89d73e2b0 + .quad 0x7301f4ceb4eae15d + .quad 0x6409e759d6722c41 + .quad 0xa674e1cf72bf729b + .quad 0xbc0a24eb3c21e569 + .quad 0x390167d24ebacb23 + + // 2^36 * 5 * G + + .quad 0x27f58e3bba353f1c + .quad 0x4c47764dbf6a4361 + .quad 0xafbbc4e56e562650 + .quad 0x07db2ee6aae1a45d + .quad 0xd7bb054ba2f2120b + .quad 0xe2b9ceaeb10589b7 + .quad 0x3fe8bac8f3c0edbe + .quad 0x4cbd40767112cb69 + .quad 0x0b603cc029c58176 + .quad 0x5988e3825cb15d61 + .quad 0x2bb61413dcf0ad8d + .quad 0x7b8eec6c74183287 + + // 2^36 * 6 * G + + .quad 0xe4ca40782cd27cb0 + .quad 0xdaf9c323fbe967bd + .quad 0xb29bd34a8ad41e9e + .quad 0x72810497626ede4d + .quad 0x32fee570fc386b73 + .quad 0xda8b0141da3a8cc7 + .quad 0x975ffd0ac8968359 + .quad 0x6ee809a1b132a855 + .quad 0x9444bb31fcfd863a + .quad 0x2fe3690a3e4e48c5 + .quad 0xdc29c867d088fa25 + .quad 0x13bd1e38d173292e + + // 2^36 * 7 * G + + .quad 0xd32b4cd8696149b5 + .quad 0xe55937d781d8aab7 + .quad 0x0bcb2127ae122b94 + .quad 0x41e86fcfb14099b0 + .quad 0x223fb5cf1dfac521 + .quad 0x325c25316f554450 + .quad 0x030b98d7659177ac + .quad 0x1ed018b64f88a4bd + .quad 0x3630dfa1b802a6b0 + .quad 0x880f874742ad3bd5 + .quad 0x0af90d6ceec5a4d4 + .quad 0x746a247a37cdc5d9 + + // 2^36 * 8 * G + + .quad 0xd531b8bd2b7b9af6 + .quad 0x5005093537fc5b51 + .quad 0x232fcf25c593546d + .quad 0x20a365142bb40f49 + .quad 0x6eccd85278d941ed + .quad 0x2254ae83d22f7843 + .quad 0xc522d02e7bbfcdb7 + .quad 0x681e3351bff0e4e2 + .quad 0x8b64b59d83034f45 + .quad 0x2f8b71f21fa20efb + .quad 0x69249495ba6550e4 + .quad 0x539ef98e45d5472b + + // 2^40 * 1 * G + + .quad 0x6e7bb6a1a6205275 + .quad 0xaa4f21d7413c8e83 + .quad 0x6f56d155e88f5cb2 + .quad 0x2de25d4ba6345be1 + .quad 0xd074d8961cae743f + .quad 0xf86d18f5ee1c63ed + .quad 0x97bdc55be7f4ed29 + .quad 0x4cbad279663ab108 + .quad 0x80d19024a0d71fcd + .quad 0xc525c20afb288af8 + .quad 0xb1a3974b5f3a6419 + .quad 0x7d7fbcefe2007233 + + // 2^40 * 2 * G + + .quad 0xfaef1e6a266b2801 + .quad 0x866c68c4d5739f16 + .quad 0xf68a2fbc1b03762c + .quad 0x5975435e87b75a8d + .quad 0xcd7c5dc5f3c29094 + .quad 0xc781a29a2a9105ab + .quad 0x80c61d36421c3058 + .quad 0x4f9cd196dcd8d4d7 + .quad 0x199297d86a7b3768 + .quad 0xd0d058241ad17a63 + .quad 0xba029cad5c1c0c17 + .quad 0x7ccdd084387a0307 + + // 2^40 * 3 * G + + .quad 0xdca6422c6d260417 + .quad 0xae153d50948240bd + .quad 0xa9c0c1b4fb68c677 + .quad 0x428bd0ed61d0cf53 + .quad 0x9b0c84186760cc93 + .quad 0xcdae007a1ab32a99 + .quad 0xa88dec86620bda18 + .quad 0x3593ca848190ca44 + .quad 0x9213189a5e849aa7 + .quad 0xd4d8c33565d8facd + .quad 0x8c52545b53fdbbd1 + .quad 0x27398308da2d63e6 + + // 2^40 * 4 * G + + .quad 0x42c38d28435ed413 + .quad 0xbd50f3603278ccc9 + .quad 0xbb07ab1a79da03ef + .quad 0x269597aebe8c3355 + .quad 0xb9a10e4c0a702453 + .quad 0x0fa25866d57d1bde + .quad 0xffb9d9b5cd27daf7 + .quad 0x572c2945492c33fd + .quad 0xc77fc745d6cd30be + .quad 0xe4dfe8d3e3baaefb + .quad 0xa22c8830aa5dda0c + .quad 0x7f985498c05bca80 + + // 2^40 * 5 * G + + .quad 0x3849ce889f0be117 + .quad 0x8005ad1b7b54a288 + .quad 0x3da3c39f23fc921c + .quad 0x76c2ec470a31f304 + .quad 0xd35615520fbf6363 + .quad 0x08045a45cf4dfba6 + .quad 0xeec24fbc873fa0c2 + .quad 0x30f2653cd69b12e7 + .quad 0x8a08c938aac10c85 + .quad 0x46179b60db276bcb + .quad 0xa920c01e0e6fac70 + .quad 0x2f1273f1596473da + + // 2^40 * 6 * G + + .quad 0x4739fc7c8ae01e11 + .quad 0xfd5274904a6aab9f + .quad 0x41d98a8287728f2e + .quad 0x5d9e572ad85b69f2 + .quad 0x30488bd755a70bc0 + .quad 0x06d6b5a4f1d442e7 + .quad 0xead1a69ebc596162 + .quad 0x38ac1997edc5f784 + .quad 0x0666b517a751b13b + .quad 0x747d06867e9b858c + .quad 0xacacc011454dde49 + .quad 0x22dfcd9cbfe9e69c + + // 2^40 * 7 * G + + .quad 0x8ddbd2e0c30d0cd9 + .quad 0xad8e665facbb4333 + .quad 0x8f6b258c322a961f + .quad 0x6b2916c05448c1c7 + .quad 0x56ec59b4103be0a1 + .quad 0x2ee3baecd259f969 + .quad 0x797cb29413f5cd32 + .quad 0x0fe9877824cde472 + .quad 0x7edb34d10aba913b + .quad 0x4ea3cd822e6dac0e + .quad 0x66083dff6578f815 + .quad 0x4c303f307ff00a17 + + // 2^40 * 8 * G + + .quad 0xd30a3bd617b28c85 + .quad 0xc5d377b739773bea + .quad 0xc6c6e78c1e6a5cbf + .quad 0x0d61b8f78b2ab7c4 + .quad 0x29fc03580dd94500 + .quad 0xecd27aa46fbbec93 + .quad 0x130a155fc2e2a7f8 + .quad 0x416b151ab706a1d5 + .quad 0x56a8d7efe9c136b0 + .quad 0xbd07e5cd58e44b20 + .quad 0xafe62fda1b57e0ab + .quad 0x191a2af74277e8d2 + + // 2^44 * 1 * G + + .quad 0xd550095bab6f4985 + .quad 0x04f4cd5b4fbfaf1a + .quad 0x9d8e2ed12a0c7540 + .quad 0x2bc24e04b2212286 + .quad 0x09d4b60b2fe09a14 + .quad 0xc384f0afdbb1747e + .quad 0x58e2ea8978b5fd6e + .quad 0x519ef577b5e09b0a + .quad 0x1863d7d91124cca9 + .quad 0x7ac08145b88a708e + .quad 0x2bcd7309857031f5 + .quad 0x62337a6e8ab8fae5 + + // 2^44 * 2 * G + + .quad 0x4bcef17f06ffca16 + .quad 0xde06e1db692ae16a + .quad 0x0753702d614f42b0 + .quad 0x5f6041b45b9212d0 + .quad 0xd1ab324e1b3a1273 + .quad 0x18947cf181055340 + .quad 0x3b5d9567a98c196e + .quad 0x7fa00425802e1e68 + .quad 0x7d531574028c2705 + .quad 0x80317d69db0d75fe + .quad 0x30fface8ef8c8ddd + .quad 0x7e9de97bb6c3e998 + + // 2^44 * 3 * G + + .quad 0x1558967b9e6585a3 + .quad 0x97c99ce098e98b92 + .quad 0x10af149b6eb3adad + .quad 0x42181fe8f4d38cfa + .quad 0xf004be62a24d40dd + .quad 0xba0659910452d41f + .quad 0x81c45ee162a44234 + .quad 0x4cb829d8a22266ef + .quad 0x1dbcaa8407b86681 + .quad 0x081f001e8b26753b + .quad 0x3cd7ce6a84048e81 + .quad 0x78af11633f25f22c + + // 2^44 * 4 * G + + .quad 0x8416ebd40b50babc + .quad 0x1508722628208bee + .quad 0xa3148fafb9c1c36d + .quad 0x0d07daacd32d7d5d + .quad 0x3241c00e7d65318c + .quad 0xe6bee5dcd0e86de7 + .quad 0x118b2dc2fbc08c26 + .quad 0x680d04a7fc603dc3 + .quad 0xf9c2414a695aa3eb + .quad 0xdaa42c4c05a68f21 + .quad 0x7c6c23987f93963e + .quad 0x210e8cd30c3954e3 + + // 2^44 * 5 * G + + .quad 0xac4201f210a71c06 + .quad 0x6a65e0aef3bfb021 + .quad 0xbc42c35c393632f7 + .quad 0x56ea8db1865f0742 + .quad 0x2b50f16137fe6c26 + .quad 0xe102bcd856e404d8 + .quad 0x12b0f1414c561f6b + .quad 0x51b17bc8d028ec91 + .quad 0xfff5fb4bcf535119 + .quad 0xf4989d79df1108a0 + .quad 0xbdfcea659a3ba325 + .quad 0x18a11f1174d1a6f2 + + // 2^44 * 6 * G + + .quad 0x407375ab3f6bba29 + .quad 0x9ec3b6d8991e482e + .quad 0x99c80e82e55f92e9 + .quad 0x307c13b6fb0c0ae1 + .quad 0xfbd63cdad27a5f2c + .quad 0xf00fc4bc8aa106d7 + .quad 0x53fb5c1a8e64a430 + .quad 0x04eaabe50c1a2e85 + .quad 0x24751021cb8ab5e7 + .quad 0xfc2344495c5010eb + .quad 0x5f1e717b4e5610a1 + .quad 0x44da5f18c2710cd5 + + // 2^44 * 7 * G + + .quad 0x033cc55ff1b82eb5 + .quad 0xb15ae36d411cae52 + .quad 0xba40b6198ffbacd3 + .quad 0x768edce1532e861f + .quad 0x9156fe6b89d8eacc + .quad 0xe6b79451e23126a1 + .quad 0xbd7463d93944eb4e + .quad 0x726373f6767203ae + .quad 0xe305ca72eb7ef68a + .quad 0x662cf31f70eadb23 + .quad 0x18f026fdb4c45b68 + .quad 0x513b5384b5d2ecbd + + // 2^44 * 8 * G + + .quad 0x46d46280c729989e + .quad 0x4b93fbd05368a5dd + .quad 0x63df3f81d1765a89 + .quad 0x34cebd64b9a0a223 + .quad 0x5e2702878af34ceb + .quad 0x900b0409b946d6ae + .quad 0x6512ebf7dabd8512 + .quad 0x61d9b76988258f81 + .quad 0xa6c5a71349b7d94b + .quad 0xa3f3d15823eb9446 + .quad 0x0416fbd277484834 + .quad 0x69d45e6f2c70812f + + // 2^48 * 1 * G + + .quad 0xce16f74bc53c1431 + .quad 0x2b9725ce2072edde + .quad 0xb8b9c36fb5b23ee7 + .quad 0x7e2e0e450b5cc908 + .quad 0x9fe62b434f460efb + .quad 0xded303d4a63607d6 + .quad 0xf052210eb7a0da24 + .quad 0x237e7dbe00545b93 + .quad 0x013575ed6701b430 + .quad 0x231094e69f0bfd10 + .quad 0x75320f1583e47f22 + .quad 0x71afa699b11155e3 + + // 2^48 * 2 * G + + .quad 0x65ce6f9b3953b61d + .quad 0xc65839eaafa141e6 + .quad 0x0f435ffda9f759fe + .quad 0x021142e9c2b1c28e + .quad 0xea423c1c473b50d6 + .quad 0x51e87a1f3b38ef10 + .quad 0x9b84bf5fb2c9be95 + .quad 0x00731fbc78f89a1c + .quad 0xe430c71848f81880 + .quad 0xbf960c225ecec119 + .quad 0xb6dae0836bba15e3 + .quad 0x4c4d6f3347e15808 + + // 2^48 * 3 * G + + .quad 0x18f7eccfc17d1fc9 + .quad 0x6c75f5a651403c14 + .quad 0xdbde712bf7ee0cdf + .quad 0x193fddaaa7e47a22 + .quad 0x2f0cddfc988f1970 + .quad 0x6b916227b0b9f51b + .quad 0x6ec7b6c4779176be + .quad 0x38bf9500a88f9fa8 + .quad 0x1fd2c93c37e8876f + .quad 0xa2f61e5a18d1462c + .quad 0x5080f58239241276 + .quad 0x6a6fb99ebf0d4969 + + // 2^48 * 4 * G + + .quad 0x6a46c1bb560855eb + .quad 0x2416bb38f893f09d + .quad 0xd71d11378f71acc1 + .quad 0x75f76914a31896ea + .quad 0xeeb122b5b6e423c6 + .quad 0x939d7010f286ff8e + .quad 0x90a92a831dcf5d8c + .quad 0x136fda9f42c5eb10 + .quad 0xf94cdfb1a305bdd1 + .quad 0x0f364b9d9ff82c08 + .quad 0x2a87d8a5c3bb588a + .quad 0x022183510be8dcba + + // 2^48 * 5 * G + + .quad 0x4af766385ead2d14 + .quad 0xa08ed880ca7c5830 + .quad 0x0d13a6e610211e3d + .quad 0x6a071ce17b806c03 + .quad 0x9d5a710143307a7f + .quad 0xb063de9ec47da45f + .quad 0x22bbfe52be927ad3 + .quad 0x1387c441fd40426c + .quad 0xb5d3c3d187978af8 + .quad 0x722b5a3d7f0e4413 + .quad 0x0d7b4848bb477ca0 + .quad 0x3171b26aaf1edc92 + + // 2^48 * 6 * G + + .quad 0xa92f319097564ca8 + .quad 0xff7bb84c2275e119 + .quad 0x4f55fe37a4875150 + .quad 0x221fd4873cf0835a + .quad 0xa60db7d8b28a47d1 + .quad 0xa6bf14d61770a4f1 + .quad 0xd4a1f89353ddbd58 + .quad 0x6c514a63344243e9 + .quad 0x2322204f3a156341 + .quad 0xfb73e0e9ba0a032d + .quad 0xfce0dd4c410f030e + .quad 0x48daa596fb924aaa + + // 2^48 * 7 * G + + .quad 0x6eca8e665ca59cc7 + .quad 0xa847254b2e38aca0 + .quad 0x31afc708d21e17ce + .quad 0x676dd6fccad84af7 + .quad 0x14f61d5dc84c9793 + .quad 0x9941f9e3ef418206 + .quad 0xcdf5b88f346277ac + .quad 0x58c837fa0e8a79a9 + .quad 0x0cf9688596fc9058 + .quad 0x1ddcbbf37b56a01b + .quad 0xdcc2e77d4935d66a + .quad 0x1c4f73f2c6a57f0a + + // 2^48 * 8 * G + + .quad 0x0e7a4fbd305fa0bb + .quad 0x829d4ce054c663ad + .quad 0xf421c3832fe33848 + .quad 0x795ac80d1bf64c42 + .quad 0xb36e706efc7c3484 + .quad 0x73dfc9b4c3c1cf61 + .quad 0xeb1d79c9781cc7e5 + .quad 0x70459adb7daf675c + .quad 0x1b91db4991b42bb3 + .quad 0x572696234b02dcca + .quad 0x9fdf9ee51f8c78dc + .quad 0x5fe162848ce21fd3 + + // 2^52 * 1 * G + + .quad 0xe2790aae4d077c41 + .quad 0x8b938270db7469a3 + .quad 0x6eb632dc8abd16a2 + .quad 0x720814ecaa064b72 + .quad 0x315c29c795115389 + .quad 0xd7e0e507862f74ce + .quad 0x0c4a762185927432 + .quad 0x72de6c984a25a1e4 + .quad 0xae9ab553bf6aa310 + .quad 0x050a50a9806d6e1b + .quad 0x92bb7403adff5139 + .quad 0x0394d27645be618b + + // 2^52 * 2 * G + + .quad 0x4d572251857eedf4 + .quad 0xe3724edde19e93c5 + .quad 0x8a71420e0b797035 + .quad 0x3b3c833687abe743 + .quad 0xf5396425b23545a4 + .quad 0x15a7a27e98fbb296 + .quad 0xab6c52bc636fdd86 + .quad 0x79d995a8419334ee + .quad 0xcd8a8ea61195dd75 + .quad 0xa504d8a81dd9a82f + .quad 0x540dca81a35879b6 + .quad 0x60dd16a379c86a8a + + // 2^52 * 3 * G + + .quad 0x35a2c8487381e559 + .quad 0x596ffea6d78082cb + .quad 0xcb9771ebdba7b653 + .quad 0x5a08b5019b4da685 + .quad 0x3501d6f8153e47b8 + .quad 0xb7a9675414a2f60c + .quad 0x112ee8b6455d9523 + .quad 0x4e62a3c18112ea8a + .quad 0xc8d4ac04516ab786 + .quad 0x595af3215295b23d + .quad 0xd6edd234db0230c1 + .quad 0x0929efe8825b41cc + + // 2^52 * 4 * G + + .quad 0x5f0601d1cbd0f2d3 + .quad 0x736e412f6132bb7f + .quad 0x83604432238dde87 + .quad 0x1e3a5272f5c0753c + .quad 0x8b3172b7ad56651d + .quad 0x01581b7a3fabd717 + .quad 0x2dc94df6424df6e4 + .quad 0x30376e5d2c29284f + .quad 0xd2918da78159a59c + .quad 0x6bdc1cd93f0713f3 + .quad 0x565f7a934acd6590 + .quad 0x53daacec4cb4c128 + + // 2^52 * 5 * G + + .quad 0x4ca73bd79cc8a7d6 + .quad 0x4d4a738f47e9a9b2 + .quad 0xf4cbf12942f5fe00 + .quad 0x01a13ff9bdbf0752 + .quad 0x99852bc3852cfdb0 + .quad 0x2cc12e9559d6ed0b + .quad 0x70f9e2bf9b5ac27b + .quad 0x4f3b8c117959ae99 + .quad 0x55b6c9c82ff26412 + .quad 0x1ac4a8c91fb667a8 + .quad 0xd527bfcfeb778bf2 + .quad 0x303337da7012a3be + + // 2^52 * 6 * G + + .quad 0x955422228c1c9d7c + .quad 0x01fac1371a9b340f + .quad 0x7e8d9177925b48d7 + .quad 0x53f8ad5661b3e31b + .quad 0x976d3ccbfad2fdd1 + .quad 0xcb88839737a640a8 + .quad 0x2ff00c1d6734cb25 + .quad 0x269ff4dc789c2d2b + .quad 0x0c003fbdc08d678d + .quad 0x4d982fa37ead2b17 + .quad 0xc07e6bcdb2e582f1 + .quad 0x296c7291df412a44 + + // 2^52 * 7 * G + + .quad 0x7903de2b33daf397 + .quad 0xd0ff0619c9a624b3 + .quad 0x8a1d252b555b3e18 + .quad 0x2b6d581c52e0b7c0 + .quad 0xdfb23205dab8b59e + .quad 0x465aeaa0c8092250 + .quad 0xd133c1189a725d18 + .quad 0x2327370261f117d1 + .quad 0x3d0543d3623e7986 + .quad 0x679414c2c278a354 + .quad 0xae43f0cc726196f6 + .quad 0x7836c41f8245eaba + + // 2^52 * 8 * G + + .quad 0xe7a254db49e95a81 + .quad 0x5192d5d008b0ad73 + .quad 0x4d20e5b1d00afc07 + .quad 0x5d55f8012cf25f38 + .quad 0xca651e848011937c + .quad 0xc6b0c46e6ef41a28 + .quad 0xb7021ba75f3f8d52 + .quad 0x119dff99ead7b9fd + .quad 0x43eadfcbf4b31d4d + .quad 0xc6503f7411148892 + .quad 0xfeee68c5060d3b17 + .quad 0x329293b3dd4a0ac8 + + // 2^56 * 1 * G + + .quad 0x4e59214fe194961a + .quad 0x49be7dc70d71cd4f + .quad 0x9300cfd23b50f22d + .quad 0x4789d446fc917232 + .quad 0x2879852d5d7cb208 + .quad 0xb8dedd70687df2e7 + .quad 0xdc0bffab21687891 + .quad 0x2b44c043677daa35 + .quad 0x1a1c87ab074eb78e + .quad 0xfac6d18e99daf467 + .quad 0x3eacbbcd484f9067 + .quad 0x60c52eef2bb9a4e4 + + // 2^56 * 2 * G + + .quad 0x0b5d89bc3bfd8bf1 + .quad 0xb06b9237c9f3551a + .quad 0x0e4c16b0d53028f5 + .quad 0x10bc9c312ccfcaab + .quad 0x702bc5c27cae6d11 + .quad 0x44c7699b54a48cab + .quad 0xefbc4056ba492eb2 + .quad 0x70d77248d9b6676d + .quad 0xaa8ae84b3ec2a05b + .quad 0x98699ef4ed1781e0 + .quad 0x794513e4708e85d1 + .quad 0x63755bd3a976f413 + + // 2^56 * 3 * G + + .quad 0xb55fa03e2ad10853 + .quad 0x356f75909ee63569 + .quad 0x9ff9f1fdbe69b890 + .quad 0x0d8cc1c48bc16f84 + .quad 0x3dc7101897f1acb7 + .quad 0x5dda7d5ec165bbd8 + .quad 0x508e5b9c0fa1020f + .quad 0x2763751737c52a56 + .quad 0x029402d36eb419a9 + .quad 0xf0b44e7e77b460a5 + .quad 0xcfa86230d43c4956 + .quad 0x70c2dd8a7ad166e7 + + // 2^56 * 4 * G + + .quad 0x656194509f6fec0e + .quad 0xee2e7ea946c6518d + .quad 0x9733c1f367e09b5c + .quad 0x2e0fac6363948495 + .quad 0x91d4967db8ed7e13 + .quad 0x74252f0ad776817a + .quad 0xe40982e00d852564 + .quad 0x32b8613816a53ce5 + .quad 0x79e7f7bee448cd64 + .quad 0x6ac83a67087886d0 + .quad 0xf89fd4d9a0e4db2e + .quad 0x4179215c735a4f41 + + // 2^56 * 5 * G + + .quad 0x8c7094e7d7dced2a + .quad 0x97fb8ac347d39c70 + .quad 0xe13be033a906d902 + .quad 0x700344a30cd99d76 + .quad 0xe4ae33b9286bcd34 + .quad 0xb7ef7eb6559dd6dc + .quad 0x278b141fb3d38e1f + .quad 0x31fa85662241c286 + .quad 0xaf826c422e3622f4 + .quad 0xc12029879833502d + .quad 0x9bc1b7e12b389123 + .quad 0x24bb2312a9952489 + + // 2^56 * 6 * G + + .quad 0xb1a8ed1732de67c3 + .quad 0x3cb49418461b4948 + .quad 0x8ebd434376cfbcd2 + .quad 0x0fee3e871e188008 + .quad 0x41f80c2af5f85c6b + .quad 0x687284c304fa6794 + .quad 0x8945df99a3ba1bad + .quad 0x0d1d2af9ffeb5d16 + .quad 0xa9da8aa132621edf + .quad 0x30b822a159226579 + .quad 0x4004197ba79ac193 + .quad 0x16acd79718531d76 + + // 2^56 * 7 * G + + .quad 0x72df72af2d9b1d3d + .quad 0x63462a36a432245a + .quad 0x3ecea07916b39637 + .quad 0x123e0ef6b9302309 + .quad 0xc959c6c57887b6ad + .quad 0x94e19ead5f90feba + .quad 0x16e24e62a342f504 + .quad 0x164ed34b18161700 + .quad 0x487ed94c192fe69a + .quad 0x61ae2cea3a911513 + .quad 0x877bf6d3b9a4de27 + .quad 0x78da0fc61073f3eb + + // 2^56 * 8 * G + + .quad 0x5bf15d28e52bc66a + .quad 0x2c47e31870f01a8e + .quad 0x2419afbc06c28bdd + .quad 0x2d25deeb256b173a + .quad 0xa29f80f1680c3a94 + .quad 0x71f77e151ae9e7e6 + .quad 0x1100f15848017973 + .quad 0x054aa4b316b38ddd + .quad 0xdfc8468d19267cb8 + .quad 0x0b28789c66e54daf + .quad 0x2aeb1d2a666eec17 + .quad 0x134610a6ab7da760 + + // 2^60 * 1 * G + + .quad 0xcaf55ec27c59b23f + .quad 0x99aeed3e154d04f2 + .quad 0x68441d72e14141f4 + .quad 0x140345133932a0a2 + .quad 0xd91430e0dc028c3c + .quad 0x0eb955a85217c771 + .quad 0x4b09e1ed2c99a1fa + .quad 0x42881af2bd6a743c + .quad 0x7bfec69aab5cad3d + .quad 0xc23e8cd34cb2cfad + .quad 0x685dd14bfb37d6a2 + .quad 0x0ad6d64415677a18 + + // 2^60 * 2 * G + + .quad 0x781a439e417becb5 + .quad 0x4ac5938cd10e0266 + .quad 0x5da385110692ac24 + .quad 0x11b065a2ade31233 + .quad 0x7914892847927e9f + .quad 0x33dad6ef370aa877 + .quad 0x1f8f24fa11122703 + .quad 0x5265ac2f2adf9592 + .quad 0x405fdd309afcb346 + .quad 0xd9723d4428e63f54 + .quad 0x94c01df05f65aaae + .quad 0x43e4dc3ae14c0809 + + // 2^60 * 3 * G + + .quad 0xbc12c7f1a938a517 + .quad 0x473028ab3180b2e1 + .quad 0x3f78571efbcd254a + .quad 0x74e534426ff6f90f + .quad 0xea6f7ac3adc2c6a3 + .quad 0xd0e928f6e9717c94 + .quad 0xe2d379ead645eaf5 + .quad 0x46dd8785c51ffbbe + .quad 0x709801be375c8898 + .quad 0x4b06dab5e3fd8348 + .quad 0x75880ced27230714 + .quad 0x2b09468fdd2f4c42 + + // 2^60 * 4 * G + + .quad 0x97c749eeb701cb96 + .quad 0x83f438d4b6a369c3 + .quad 0x62962b8b9a402cd9 + .quad 0x6976c7509888df7b + .quad 0x5b97946582ffa02a + .quad 0xda096a51fea8f549 + .quad 0xa06351375f77af9b + .quad 0x1bcfde61201d1e76 + .quad 0x4a4a5490246a59a2 + .quad 0xd63ebddee87fdd90 + .quad 0xd9437c670d2371fa + .quad 0x69e87308d30f8ed6 + + // 2^60 * 5 * G + + .quad 0x435a8bb15656beb0 + .quad 0xf8fac9ba4f4d5bca + .quad 0xb9b278c41548c075 + .quad 0x3eb0ef76e892b622 + .quad 0x0f80bf028bc80303 + .quad 0x6aae16b37a18cefb + .quad 0xdd47ea47d72cd6a3 + .quad 0x61943588f4ed39aa + .quad 0xd26e5c3e91039f85 + .quad 0xc0e9e77df6f33aa9 + .quad 0xe8968c5570066a93 + .quad 0x3c34d1881faaaddd + + // 2^60 * 6 * G + + .quad 0x3f9d2b5ea09f9ec0 + .quad 0x1dab3b6fb623a890 + .quad 0xa09ba3ea72d926c4 + .quad 0x374193513fd8b36d + .quad 0xbd5b0b8f2fffe0d9 + .quad 0x6aa254103ed24fb9 + .quad 0x2ac7d7bcb26821c4 + .quad 0x605b394b60dca36a + .quad 0xb4e856e45a9d1ed2 + .quad 0xefe848766c97a9a2 + .quad 0xb104cf641e5eee7d + .quad 0x2f50b81c88a71c8f + + // 2^60 * 7 * G + + .quad 0x31723c61fc6811bb + .quad 0x9cb450486211800f + .quad 0x768933d347995753 + .quad 0x3491a53502752fcd + .quad 0x2b552ca0a7da522a + .quad 0x3230b336449b0250 + .quad 0xf2c4c5bca4b99fb9 + .quad 0x7b2c674958074a22 + .quad 0xd55165883ed28cdf + .quad 0x12d84fd2d362de39 + .quad 0x0a874ad3e3378e4f + .quad 0x000d2b1f7c763e74 + + // 2^60 * 8 * G + + .quad 0x3d420811d06d4a67 + .quad 0xbefc048590e0ffe3 + .quad 0xf870c6b7bd487bde + .quad 0x6e2a7316319afa28 + .quad 0x9624778c3e94a8ab + .quad 0x0ad6f3cee9a78bec + .quad 0x948ac7810d743c4f + .quad 0x76627935aaecfccc + .quad 0x56a8ac24d6d59a9f + .quad 0xc8db753e3096f006 + .quad 0x477f41e68f4c5299 + .quad 0x588d851cf6c86114 + + // 2^64 * 1 * G + + .quad 0x51138ec78df6b0fe + .quad 0x5397da89e575f51b + .quad 0x09207a1d717af1b9 + .quad 0x2102fdba2b20d650 + .quad 0xcd2a65e777d1f515 + .quad 0x548991878faa60f1 + .quad 0xb1b73bbcdabc06e5 + .quad 0x654878cba97cc9fb + .quad 0x969ee405055ce6a1 + .quad 0x36bca7681251ad29 + .quad 0x3a1af517aa7da415 + .quad 0x0ad725db29ecb2ba + + // 2^64 * 2 * G + + .quad 0xdc4267b1834e2457 + .quad 0xb67544b570ce1bc5 + .quad 0x1af07a0bf7d15ed7 + .quad 0x4aefcffb71a03650 + .quad 0xfec7bc0c9b056f85 + .quad 0x537d5268e7f5ffd7 + .quad 0x77afc6624312aefa + .quad 0x4f675f5302399fd9 + .quad 0xc32d36360415171e + .quad 0xcd2bef118998483b + .quad 0x870a6eadd0945110 + .quad 0x0bccbb72a2a86561 + + // 2^64 * 3 * G + + .quad 0x185e962feab1a9c8 + .quad 0x86e7e63565147dcd + .quad 0xb092e031bb5b6df2 + .quad 0x4024f0ab59d6b73e + .quad 0x186d5e4c50fe1296 + .quad 0xe0397b82fee89f7e + .quad 0x3bc7f6c5507031b0 + .quad 0x6678fd69108f37c2 + .quad 0x1586fa31636863c2 + .quad 0x07f68c48572d33f2 + .quad 0x4f73cc9f789eaefc + .quad 0x2d42e2108ead4701 + + // 2^64 * 4 * G + + .quad 0x97f5131594dfd29b + .quad 0x6155985d313f4c6a + .quad 0xeba13f0708455010 + .quad 0x676b2608b8d2d322 + .quad 0x21717b0d0f537593 + .quad 0x914e690b131e064c + .quad 0x1bb687ae752ae09f + .quad 0x420bf3a79b423c6e + .quad 0x8138ba651c5b2b47 + .quad 0x8671b6ec311b1b80 + .quad 0x7bff0cb1bc3135b0 + .quad 0x745d2ffa9c0cf1e0 + + // 2^64 * 5 * G + + .quad 0xbf525a1e2bc9c8bd + .quad 0xea5b260826479d81 + .quad 0xd511c70edf0155db + .quad 0x1ae23ceb960cf5d0 + .quad 0x6036df5721d34e6a + .quad 0xb1db8827997bb3d0 + .quad 0xd3c209c3c8756afa + .quad 0x06e15be54c1dc839 + .quad 0x5b725d871932994a + .quad 0x32351cb5ceb1dab0 + .quad 0x7dc41549dab7ca05 + .quad 0x58ded861278ec1f7 + + // 2^64 * 6 * G + + .quad 0xd8173793f266c55c + .quad 0xc8c976c5cc454e49 + .quad 0x5ce382f8bc26c3a8 + .quad 0x2ff39de85485f6f9 + .quad 0x2dfb5ba8b6c2c9a8 + .quad 0x48eeef8ef52c598c + .quad 0x33809107f12d1573 + .quad 0x08ba696b531d5bd8 + .quad 0x77ed3eeec3efc57a + .quad 0x04e05517d4ff4811 + .quad 0xea3d7a3ff1a671cb + .quad 0x120633b4947cfe54 + + // 2^64 * 7 * G + + .quad 0x0b94987891610042 + .quad 0x4ee7b13cecebfae8 + .quad 0x70be739594f0a4c0 + .quad 0x35d30a99b4d59185 + .quad 0x82bd31474912100a + .quad 0xde237b6d7e6fbe06 + .quad 0xe11e761911ea79c6 + .quad 0x07433be3cb393bde + .quad 0xff7944c05ce997f4 + .quad 0x575d3de4b05c51a3 + .quad 0x583381fd5a76847c + .quad 0x2d873ede7af6da9f + + // 2^64 * 8 * G + + .quad 0x157a316443373409 + .quad 0xfab8b7eef4aa81d9 + .quad 0xb093fee6f5a64806 + .quad 0x2e773654707fa7b6 + .quad 0xaa6202e14e5df981 + .quad 0xa20d59175015e1f5 + .quad 0x18a275d3bae21d6c + .quad 0x0543618a01600253 + .quad 0x0deabdf4974c23c1 + .quad 0xaa6f0a259dce4693 + .quad 0x04202cb8a29aba2c + .quad 0x4b1443362d07960d + + // 2^68 * 1 * G + + .quad 0x47b837f753242cec + .quad 0x256dc48cc04212f2 + .quad 0xe222fbfbe1d928c5 + .quad 0x48ea295bad8a2c07 + .quad 0x299b1c3f57c5715e + .quad 0x96cb929e6b686d90 + .quad 0x3004806447235ab3 + .quad 0x2c435c24a44d9fe1 + .quad 0x0607c97c80f8833f + .quad 0x0e851578ca25ec5b + .quad 0x54f7450b161ebb6f + .quad 0x7bcb4792a0def80e + + // 2^68 * 2 * G + + .quad 0x8487e3d02bc73659 + .quad 0x4baf8445059979df + .quad 0xd17c975adcad6fbf + .quad 0x57369f0bdefc96b6 + .quad 0x1cecd0a0045224c2 + .quad 0x757f1b1b69e53952 + .quad 0x775b7a925289f681 + .quad 0x1b6cc62016736148 + .quad 0xf1a9990175638698 + .quad 0x353dd1beeeaa60d3 + .quad 0x849471334c9ba488 + .quad 0x63fa6e6843ade311 + + // 2^68 * 3 * G + + .quad 0xd15c20536597c168 + .quad 0x9f73740098d28789 + .quad 0x18aee7f13257ba1f + .quad 0x3418bfda07346f14 + .quad 0x2195becdd24b5eb7 + .quad 0x5e41f18cc0cd44f9 + .quad 0xdf28074441ca9ede + .quad 0x07073b98f35b7d67 + .quad 0xd03c676c4ce530d4 + .quad 0x0b64c0473b5df9f4 + .quad 0x065cef8b19b3a31e + .quad 0x3084d661533102c9 + + // 2^68 * 4 * G + + .quad 0xe1f6b79ebf8469ad + .quad 0x15801004e2663135 + .quad 0x9a498330af74181b + .quad 0x3ba2504f049b673c + .quad 0x9a6ce876760321fd + .quad 0x7fe2b5109eb63ad8 + .quad 0x00e7d4ae8ac80592 + .quad 0x73d86b7abb6f723a + .quad 0x0b52b5606dba5ab6 + .quad 0xa9134f0fbbb1edab + .quad 0x30a9520d9b04a635 + .quad 0x6813b8f37973e5db + + // 2^68 * 5 * G + + .quad 0x9854b054334127c1 + .quad 0x105d047882fbff25 + .quad 0xdb49f7f944186f4f + .quad 0x1768e838bed0b900 + .quad 0xf194ca56f3157e29 + .quad 0x136d35705ef528a5 + .quad 0xdd4cef778b0599bc + .quad 0x7d5472af24f833ed + .quad 0xd0ef874daf33da47 + .quad 0x00d3be5db6e339f9 + .quad 0x3f2a8a2f9c9ceece + .quad 0x5d1aeb792352435a + + // 2^68 * 6 * G + + .quad 0xf59e6bb319cd63ca + .quad 0x670c159221d06839 + .quad 0xb06d565b2150cab6 + .quad 0x20fb199d104f12a3 + .quad 0x12c7bfaeb61ba775 + .quad 0xb84e621fe263bffd + .quad 0x0b47a5c35c840dcf + .quad 0x7e83be0bccaf8634 + .quad 0x61943dee6d99c120 + .quad 0x86101f2e460b9fe0 + .quad 0x6bb2f1518ee8598d + .quad 0x76b76289fcc475cc + + // 2^68 * 7 * G + + .quad 0x791b4cc1756286fa + .quad 0xdbced317d74a157c + .quad 0x7e732421ea72bde6 + .quad 0x01fe18491131c8e9 + .quad 0x4245f1a1522ec0b3 + .quad 0x558785b22a75656d + .quad 0x1d485a2548a1b3c0 + .quad 0x60959eccd58fe09f + .quad 0x3ebfeb7ba8ed7a09 + .quad 0x49fdc2bbe502789c + .quad 0x44ebce5d3c119428 + .quad 0x35e1eb55be947f4a + + // 2^68 * 8 * G + + .quad 0xdbdae701c5738dd3 + .quad 0xf9c6f635b26f1bee + .quad 0x61e96a8042f15ef4 + .quad 0x3aa1d11faf60a4d8 + .quad 0x14fd6dfa726ccc74 + .quad 0x3b084cfe2f53b965 + .quad 0xf33ae4f552a2c8b4 + .quad 0x59aab07a0d40166a + .quad 0x77bcec4c925eac25 + .quad 0x1848718460137738 + .quad 0x5b374337fea9f451 + .quad 0x1865e78ec8e6aa46 + + // 2^72 * 1 * G + + .quad 0xccc4b7c7b66e1f7a + .quad 0x44157e25f50c2f7e + .quad 0x3ef06dfc713eaf1c + .quad 0x582f446752da63f7 + .quad 0x967c54e91c529ccb + .quad 0x30f6269264c635fb + .quad 0x2747aff478121965 + .quad 0x17038418eaf66f5c + .quad 0xc6317bd320324ce4 + .quad 0xa81042e8a4488bc4 + .quad 0xb21ef18b4e5a1364 + .quad 0x0c2a1c4bcda28dc9 + + // 2^72 * 2 * G + + .quad 0xd24dc7d06f1f0447 + .quad 0xb2269e3edb87c059 + .quad 0xd15b0272fbb2d28f + .quad 0x7c558bd1c6f64877 + .quad 0xedc4814869bd6945 + .quad 0x0d6d907dbe1c8d22 + .quad 0xc63bd212d55cc5ab + .quad 0x5a6a9b30a314dc83 + .quad 0xd0ec1524d396463d + .quad 0x12bb628ac35a24f0 + .quad 0xa50c3a791cbc5fa4 + .quad 0x0404a5ca0afbafc3 + + // 2^72 * 3 * G + + .quad 0x8c1f40070aa743d6 + .quad 0xccbad0cb5b265ee8 + .quad 0x574b046b668fd2de + .quad 0x46395bfdcadd9633 + .quad 0x62bc9e1b2a416fd1 + .quad 0xb5c6f728e350598b + .quad 0x04343fd83d5d6967 + .quad 0x39527516e7f8ee98 + .quad 0x117fdb2d1a5d9a9c + .quad 0x9c7745bcd1005c2a + .quad 0xefd4bef154d56fea + .quad 0x76579a29e822d016 + + // 2^72 * 4 * G + + .quad 0x45b68e7e49c02a17 + .quad 0x23cd51a2bca9a37f + .quad 0x3ed65f11ec224c1b + .quad 0x43a384dc9e05bdb1 + .quad 0x333cb51352b434f2 + .quad 0xd832284993de80e1 + .quad 0xb5512887750d35ce + .quad 0x02c514bb2a2777c1 + .quad 0x684bd5da8bf1b645 + .quad 0xfb8bd37ef6b54b53 + .quad 0x313916d7a9b0d253 + .quad 0x1160920961548059 + + // 2^72 * 5 * G + + .quad 0xb44d166929dacfaa + .quad 0xda529f4c8413598f + .quad 0xe9ef63ca453d5559 + .quad 0x351e125bc5698e0b + .quad 0x7a385616369b4dcd + .quad 0x75c02ca7655c3563 + .quad 0x7dc21bf9d4f18021 + .quad 0x2f637d7491e6e042 + .quad 0xd4b49b461af67bbe + .quad 0xd603037ac8ab8961 + .quad 0x71dee19ff9a699fb + .quad 0x7f182d06e7ce2a9a + + // 2^72 * 6 * G + + .quad 0x7a7c8e64ab0168ec + .quad 0xcb5a4a5515edc543 + .quad 0x095519d347cd0eda + .quad 0x67d4ac8c343e93b0 + .quad 0x09454b728e217522 + .quad 0xaa58e8f4d484b8d8 + .quad 0xd358254d7f46903c + .quad 0x44acc043241c5217 + .quad 0x1c7d6bbb4f7a5777 + .quad 0x8b35fed4918313e1 + .quad 0x4adca1c6c96b4684 + .quad 0x556d1c8312ad71bd + + // 2^72 * 7 * G + + .quad 0x17ef40e30c8d3982 + .quad 0x31f7073e15a3fa34 + .quad 0x4f21f3cb0773646e + .quad 0x746c6c6d1d824eff + .quad 0x81f06756b11be821 + .quad 0x0faff82310a3f3dd + .quad 0xf8b2d0556a99465d + .quad 0x097abe38cc8c7f05 + .quad 0x0c49c9877ea52da4 + .quad 0x4c4369559bdc1d43 + .quad 0x022c3809f7ccebd2 + .quad 0x577e14a34bee84bd + + // 2^72 * 8 * G + + .quad 0xf0e268ac61a73b0a + .quad 0xf2fafa103791a5f5 + .quad 0xc1e13e826b6d00e9 + .quad 0x60fa7ee96fd78f42 + .quad 0x94fecebebd4dd72b + .quad 0xf46a4fda060f2211 + .quad 0x124a5977c0c8d1ff + .quad 0x705304b8fb009295 + .quad 0xb63d1d354d296ec6 + .quad 0xf3c3053e5fad31d8 + .quad 0x670b958cb4bd42ec + .quad 0x21398e0ca16353fd + + // 2^76 * 1 * G + + .quad 0x216ab2ca8da7d2ef + .quad 0x366ad9dd99f42827 + .quad 0xae64b9004fdd3c75 + .quad 0x403a395b53909e62 + .quad 0x86c5fc16861b7e9a + .quad 0xf6a330476a27c451 + .quad 0x01667267a1e93597 + .quad 0x05ffb9cd6082dfeb + .quad 0xa617fa9ff53f6139 + .quad 0x60f2b5e513e66cb6 + .quad 0xd7a8beefb3448aa4 + .quad 0x7a2932856f5ea192 + + // 2^76 * 2 * G + + .quad 0x0b39d761b02de888 + .quad 0x5f550e7ed2414e1f + .quad 0xa6bfa45822e1a940 + .quad 0x050a2f7dfd447b99 + .quad 0xb89c444879639302 + .quad 0x4ae4f19350c67f2c + .quad 0xf0b35da8c81af9c6 + .quad 0x39d0003546871017 + .quad 0x437c3b33a650db77 + .quad 0x6bafe81dbac52bb2 + .quad 0xfe99402d2db7d318 + .quad 0x2b5b7eec372ba6ce + + // 2^76 * 3 * G + + .quad 0xb3bc4bbd83f50eef + .quad 0x508f0c998c927866 + .quad 0x43e76587c8b7e66e + .quad 0x0f7655a3a47f98d9 + .quad 0xa694404d613ac8f4 + .quad 0x500c3c2bfa97e72c + .quad 0x874104d21fcec210 + .quad 0x1b205fb38604a8ee + .quad 0x55ecad37d24b133c + .quad 0x441e147d6038c90b + .quad 0x656683a1d62c6fee + .quad 0x0157d5dc87e0ecae + + // 2^76 * 4 * G + + .quad 0xf2a7af510354c13d + .quad 0xd7a0b145aa372b60 + .quad 0x2869b96a05a3d470 + .quad 0x6528e42d82460173 + .quad 0x95265514d71eb524 + .quad 0xe603d8815df14593 + .quad 0x147cdf410d4de6b7 + .quad 0x5293b1730437c850 + .quad 0x23d0e0814bccf226 + .quad 0x92c745cd8196fb93 + .quad 0x8b61796c59541e5b + .quad 0x40a44df0c021f978 + + // 2^76 * 5 * G + + .quad 0xdaa869894f20ea6a + .quad 0xea14a3d14c620618 + .quad 0x6001fccb090bf8be + .quad 0x35f4e822947e9cf0 + .quad 0x86c96e514bc5d095 + .quad 0xf20d4098fca6804a + .quad 0x27363d89c826ea5d + .quad 0x39ca36565719cacf + .quad 0x97506f2f6f87b75c + .quad 0xc624aea0034ae070 + .quad 0x1ec856e3aad34dd6 + .quad 0x055b0be0e440e58f + + // 2^76 * 6 * G + + .quad 0x6469a17d89735d12 + .quad 0xdb6f27d5e662b9f1 + .quad 0x9fcba3286a395681 + .quad 0x363b8004d269af25 + .quad 0x4d12a04b6ea33da2 + .quad 0x57cf4c15e36126dd + .quad 0x90ec9675ee44d967 + .quad 0x64ca348d2a985aac + .quad 0x99588e19e4c4912d + .quad 0xefcc3b4e1ca5ce6b + .quad 0x4522ea60fa5b98d5 + .quad 0x7064bbab1de4a819 + + // 2^76 * 7 * G + + .quad 0xb919e1515a770641 + .quad 0xa9a2e2c74e7f8039 + .quad 0x7527250b3df23109 + .quad 0x756a7330ac27b78b + .quad 0xa290c06142542129 + .quad 0xf2e2c2aebe8d5b90 + .quad 0xcf2458db76abfe1b + .quad 0x02157ade83d626bf + .quad 0x3e46972a1b9a038b + .quad 0x2e4ee66a7ee03fb4 + .quad 0x81a248776edbb4ca + .quad 0x1a944ee88ecd0563 + + // 2^76 * 8 * G + + .quad 0xd5a91d1151039372 + .quad 0x2ed377b799ca26de + .quad 0xa17202acfd366b6b + .quad 0x0730291bd6901995 + .quad 0xbb40a859182362d6 + .quad 0xb99f55778a4d1abb + .quad 0x8d18b427758559f6 + .quad 0x26c20fe74d26235a + .quad 0x648d1d9fe9cc22f5 + .quad 0x66bc561928dd577c + .quad 0x47d3ed21652439d1 + .quad 0x49d271acedaf8b49 + + // 2^80 * 1 * G + + .quad 0x89f5058a382b33f3 + .quad 0x5ae2ba0bad48c0b4 + .quad 0x8f93b503a53db36e + .quad 0x5aa3ed9d95a232e6 + .quad 0x2798aaf9b4b75601 + .quad 0x5eac72135c8dad72 + .quad 0xd2ceaa6161b7a023 + .quad 0x1bbfb284e98f7d4e + .quad 0x656777e9c7d96561 + .quad 0xcb2b125472c78036 + .quad 0x65053299d9506eee + .quad 0x4a07e14e5e8957cc + + // 2^80 * 2 * G + + .quad 0x4ee412cb980df999 + .quad 0xa315d76f3c6ec771 + .quad 0xbba5edde925c77fd + .quad 0x3f0bac391d313402 + .quad 0x240b58cdc477a49b + .quad 0xfd38dade6447f017 + .quad 0x19928d32a7c86aad + .quad 0x50af7aed84afa081 + .quad 0x6e4fde0115f65be5 + .quad 0x29982621216109b2 + .quad 0x780205810badd6d9 + .quad 0x1921a316baebd006 + + // 2^80 * 3 * G + + .quad 0x89422f7edfb870fc + .quad 0x2c296beb4f76b3bd + .quad 0x0738f1d436c24df7 + .quad 0x6458df41e273aeb0 + .quad 0xd75aad9ad9f3c18b + .quad 0x566a0eef60b1c19c + .quad 0x3e9a0bac255c0ed9 + .quad 0x7b049deca062c7f5 + .quad 0xdccbe37a35444483 + .quad 0x758879330fedbe93 + .quad 0x786004c312c5dd87 + .quad 0x6093dccbc2950e64 + + // 2^80 * 4 * G + + .quad 0x1ff39a8585e0706d + .quad 0x36d0a5d8b3e73933 + .quad 0x43b9f2e1718f453b + .quad 0x57d1ea084827a97c + .quad 0x6bdeeebe6084034b + .quad 0x3199c2b6780fb854 + .quad 0x973376abb62d0695 + .quad 0x6e3180c98b647d90 + .quad 0xee7ab6e7a128b071 + .quad 0xa4c1596d93a88baa + .quad 0xf7b4de82b2216130 + .quad 0x363e999ddd97bd18 + + // 2^80 * 5 * G + + .quad 0x96a843c135ee1fc4 + .quad 0x976eb35508e4c8cf + .quad 0xb42f6801b58cd330 + .quad 0x48ee9b78693a052b + .quad 0x2f1848dce24baec6 + .quad 0x769b7255babcaf60 + .quad 0x90cb3c6e3cefe931 + .quad 0x231f979bc6f9b355 + .quad 0x5c31de4bcc2af3c6 + .quad 0xb04bb030fe208d1f + .quad 0xb78d7009c14fb466 + .quad 0x079bfa9b08792413 + + // 2^80 * 6 * G + + .quad 0xe3903a51da300df4 + .quad 0x843964233da95ab0 + .quad 0xed3cf12d0b356480 + .quad 0x038c77f684817194 + .quad 0xf3c9ed80a2d54245 + .quad 0x0aa08b7877f63952 + .quad 0xd76dac63d1085475 + .quad 0x1ef4fb159470636b + .quad 0x854e5ee65b167bec + .quad 0x59590a4296d0cdc2 + .quad 0x72b2df3498102199 + .quad 0x575ee92a4a0bff56 + + // 2^80 * 7 * G + + .quad 0xd4c080908a182fcf + .quad 0x30e170c299489dbd + .quad 0x05babd5752f733de + .quad 0x43d4e7112cd3fd00 + .quad 0x5d46bc450aa4d801 + .quad 0xc3af1227a533b9d8 + .quad 0x389e3b262b8906c2 + .quad 0x200a1e7e382f581b + .quad 0x518db967eaf93ac5 + .quad 0x71bc989b056652c0 + .quad 0xfe2b85d9567197f5 + .quad 0x050eca52651e4e38 + + // 2^80 * 8 * G + + .quad 0xc3431ade453f0c9c + .quad 0xe9f5045eff703b9b + .quad 0xfcd97ac9ed847b3d + .quad 0x4b0ee6c21c58f4c6 + .quad 0x97ac397660e668ea + .quad 0x9b19bbfe153ab497 + .quad 0x4cb179b534eca79f + .quad 0x6151c09fa131ae57 + .quad 0x3af55c0dfdf05d96 + .quad 0xdd262ee02ab4ee7a + .quad 0x11b2bb8712171709 + .quad 0x1fef24fa800f030b + + // 2^84 * 1 * G + + .quad 0xb496123a6b6c6609 + .quad 0xa750fe8580ab5938 + .quad 0xf471bf39b7c27a5f + .quad 0x507903ce77ac193c + .quad 0xff91a66a90166220 + .quad 0xf22552ae5bf1e009 + .quad 0x7dff85d87f90df7c + .quad 0x4f620ffe0c736fb9 + .quad 0x62f90d65dfde3e34 + .quad 0xcf28c592b9fa5fad + .quad 0x99c86ef9c6164510 + .quad 0x25d448044a256c84 + + // 2^84 * 2 * G + + .quad 0xbd68230ec7e9b16f + .quad 0x0eb1b9c1c1c5795d + .quad 0x7943c8c495b6b1ff + .quad 0x2f9faf620bbacf5e + .quad 0x2c7c4415c9022b55 + .quad 0x56a0d241812eb1fe + .quad 0xf02ea1c9d7b65e0d + .quad 0x4180512fd5323b26 + .quad 0xa4ff3e698a48a5db + .quad 0xba6a3806bd95403b + .quad 0x9f7ce1af47d5b65d + .quad 0x15e087e55939d2fb + + // 2^84 * 3 * G + + .quad 0x12207543745c1496 + .quad 0xdaff3cfdda38610c + .quad 0xe4e797272c71c34f + .quad 0x39c07b1934bdede9 + .quad 0x8894186efb963f38 + .quad 0x48a00e80dc639bd5 + .quad 0xa4e8092be96c1c99 + .quad 0x5a097d54ca573661 + .quad 0x2d45892b17c9e755 + .quad 0xd033fd7289308df8 + .quad 0x6c2fe9d9525b8bd9 + .quad 0x2edbecf1c11cc079 + + // 2^84 * 4 * G + + .quad 0x1616a4e3c715a0d2 + .quad 0x53623cb0f8341d4d + .quad 0x96ef5329c7e899cb + .quad 0x3d4e8dbba668baa6 + .quad 0xee0f0fddd087a25f + .quad 0x9c7531555c3e34ee + .quad 0x660c572e8fab3ab5 + .quad 0x0854fc44544cd3b2 + .quad 0x61eba0c555edad19 + .quad 0x24b533fef0a83de6 + .quad 0x3b77042883baa5f8 + .quad 0x678f82b898a47e8d + + // 2^84 * 5 * G + + .quad 0xb1491d0bd6900c54 + .quad 0x3539722c9d132636 + .quad 0x4db928920b362bc9 + .quad 0x4d7cd1fea68b69df + .quad 0x1e09d94057775696 + .quad 0xeed1265c3cd951db + .quad 0xfa9dac2b20bce16f + .quad 0x0f7f76e0e8d089f4 + .quad 0x36d9ebc5d485b00c + .quad 0xa2596492e4adb365 + .quad 0xc1659480c2119ccd + .quad 0x45306349186e0d5f + + // 2^84 * 6 * G + + .quad 0x94ddd0c1a6cdff1d + .quad 0x55f6f115e84213ae + .quad 0x6c935f85992fcf6a + .quad 0x067ee0f54a37f16f + .quad 0x96a414ec2b072491 + .quad 0x1bb2218127a7b65b + .quad 0x6d2849596e8a4af0 + .quad 0x65f3b08ccd27765f + .quad 0xecb29fff199801f7 + .quad 0x9d361d1fa2a0f72f + .quad 0x25f11d2375fd2f49 + .quad 0x124cefe80fe10fe2 + + // 2^84 * 7 * G + + .quad 0x4c126cf9d18df255 + .quad 0xc1d471e9147a63b6 + .quad 0x2c6d3c73f3c93b5f + .quad 0x6be3a6a2e3ff86a2 + .quad 0x1518e85b31b16489 + .quad 0x8faadcb7db710bfb + .quad 0x39b0bdf4a14ae239 + .quad 0x05f4cbea503d20c1 + .quad 0xce040e9ec04145bc + .quad 0xc71ff4e208f6834c + .quad 0xbd546e8dab8847a3 + .quad 0x64666aa0a4d2aba5 + + // 2^84 * 8 * G + + .quad 0x6841435a7c06d912 + .quad 0xca123c21bb3f830b + .quad 0xd4b37b27b1cbe278 + .quad 0x1d753b84c76f5046 + .quad 0xb0c53bf73337e94c + .quad 0x7cb5697e11e14f15 + .quad 0x4b84abac1930c750 + .quad 0x28dd4abfe0640468 + .quad 0x7dc0b64c44cb9f44 + .quad 0x18a3e1ace3925dbf + .quad 0x7a3034862d0457c4 + .quad 0x4c498bf78a0c892e + + // 2^88 * 1 * G + + .quad 0x37d653fb1aa73196 + .quad 0x0f9495303fd76418 + .quad 0xad200b09fb3a17b2 + .quad 0x544d49292fc8613e + .quad 0x22d2aff530976b86 + .quad 0x8d90b806c2d24604 + .quad 0xdca1896c4de5bae5 + .quad 0x28005fe6c8340c17 + .quad 0x6aefba9f34528688 + .quad 0x5c1bff9425107da1 + .quad 0xf75bbbcd66d94b36 + .quad 0x72e472930f316dfa + + // 2^88 * 2 * G + + .quad 0x2695208c9781084f + .quad 0xb1502a0b23450ee1 + .quad 0xfd9daea603efde02 + .quad 0x5a9d2e8c2733a34c + .quad 0x07f3f635d32a7627 + .quad 0x7aaa4d865f6566f0 + .quad 0x3c85e79728d04450 + .quad 0x1fee7f000fe06438 + .quad 0x765305da03dbf7e5 + .quad 0xa4daf2491434cdbd + .quad 0x7b4ad5cdd24a88ec + .quad 0x00f94051ee040543 + + // 2^88 * 3 * G + + .quad 0x8d356b23c3d330b2 + .quad 0xf21c8b9bb0471b06 + .quad 0xb36c316c6e42b83c + .quad 0x07d79c7e8beab10d + .quad 0xd7ef93bb07af9753 + .quad 0x583ed0cf3db766a7 + .quad 0xce6998bf6e0b1ec5 + .quad 0x47b7ffd25dd40452 + .quad 0x87fbfb9cbc08dd12 + .quad 0x8a066b3ae1eec29b + .quad 0x0d57242bdb1fc1bf + .quad 0x1c3520a35ea64bb6 + + // 2^88 * 4 * G + + .quad 0x80d253a6bccba34a + .quad 0x3e61c3a13838219b + .quad 0x90c3b6019882e396 + .quad 0x1c3d05775d0ee66f + .quad 0xcda86f40216bc059 + .quad 0x1fbb231d12bcd87e + .quad 0xb4956a9e17c70990 + .quad 0x38750c3b66d12e55 + .quad 0x692ef1409422e51a + .quad 0xcbc0c73c2b5df671 + .quad 0x21014fe7744ce029 + .quad 0x0621e2c7d330487c + + // 2^88 * 5 * G + + .quad 0xaf9860cc8259838d + .quad 0x90ea48c1c69f9adc + .quad 0x6526483765581e30 + .quad 0x0007d6097bd3a5bc + .quad 0xb7ae1796b0dbf0f3 + .quad 0x54dfafb9e17ce196 + .quad 0x25923071e9aaa3b4 + .quad 0x5d8e589ca1002e9d + .quad 0xc0bf1d950842a94b + .quad 0xb2d3c363588f2e3e + .quad 0x0a961438bb51e2ef + .quad 0x1583d7783c1cbf86 + + // 2^88 * 6 * G + + .quad 0xeceea2ef5da27ae1 + .quad 0x597c3a1455670174 + .quad 0xc9a62a126609167a + .quad 0x252a5f2e81ed8f70 + .quad 0x90034704cc9d28c7 + .quad 0x1d1b679ef72cc58f + .quad 0x16e12b5fbe5b8726 + .quad 0x4958064e83c5580a + .quad 0x0d2894265066e80d + .quad 0xfcc3f785307c8c6b + .quad 0x1b53da780c1112fd + .quad 0x079c170bd843b388 + + // 2^88 * 7 * G + + .quad 0x0506ece464fa6fff + .quad 0xbee3431e6205e523 + .quad 0x3579422451b8ea42 + .quad 0x6dec05e34ac9fb00 + .quad 0xcdd6cd50c0d5d056 + .quad 0x9af7686dbb03573b + .quad 0x3ca6723ff3c3ef48 + .quad 0x6768c0d7317b8acc + .quad 0x94b625e5f155c1b3 + .quad 0x417bf3a7997b7b91 + .quad 0xc22cbddc6d6b2600 + .quad 0x51445e14ddcd52f4 + + // 2^88 * 8 * G + + .quad 0x57502b4b3b144951 + .quad 0x8e67ff6b444bbcb3 + .quad 0xb8bd6927166385db + .quad 0x13186f31e39295c8 + .quad 0x893147ab2bbea455 + .quad 0x8c53a24f92079129 + .quad 0x4b49f948be30f7a7 + .quad 0x12e990086e4fd43d + .quad 0xf10c96b37fdfbb2e + .quad 0x9f9a935e121ceaf9 + .quad 0xdf1136c43a5b983f + .quad 0x77b2e3f05d3e99af + + // 2^92 * 1 * G + + .quad 0xfd0d75879cf12657 + .quad 0xe82fef94e53a0e29 + .quad 0xcc34a7f05bbb4be7 + .quad 0x0b251172a50c38a2 + .quad 0x9532f48fcc5cd29b + .quad 0x2ba851bea3ce3671 + .quad 0x32dacaa051122941 + .quad 0x478d99d9350004f2 + .quad 0x1d5ad94890bb02c0 + .quad 0x50e208b10ec25115 + .quad 0xa26a22894ef21702 + .quad 0x4dc923343b524805 + + // 2^92 * 2 * G + + .quad 0xe3828c400f8086b6 + .quad 0x3f77e6f7979f0dc8 + .quad 0x7ef6de304df42cb4 + .quad 0x5265797cb6abd784 + .quad 0x3ad3e3ebf36c4975 + .quad 0xd75d25a537862125 + .quad 0xe873943da025a516 + .quad 0x6bbc7cb4c411c847 + .quad 0x3c6f9cd1d4a50d56 + .quad 0xb6244077c6feab7e + .quad 0x6ff9bf483580972e + .quad 0x00375883b332acfb + + // 2^92 * 3 * G + + .quad 0x0001b2cd28cb0940 + .quad 0x63fb51a06f1c24c9 + .quad 0xb5ad8691dcd5ca31 + .quad 0x67238dbd8c450660 + .quad 0xc98bec856c75c99c + .quad 0xe44184c000e33cf4 + .quad 0x0a676b9bba907634 + .quad 0x669e2cb571f379d7 + .quad 0xcb116b73a49bd308 + .quad 0x025aad6b2392729e + .quad 0xb4793efa3f55d9b1 + .quad 0x72a1056140678bb9 + + // 2^92 * 4 * G + + .quad 0xa2b6812b1cc9249d + .quad 0x62866eee21211f58 + .quad 0x2cb5c5b85df10ece + .quad 0x03a6b259e263ae00 + .quad 0x0d8d2909e2e505b6 + .quad 0x98ca78abc0291230 + .quad 0x77ef5569a9b12327 + .quad 0x7c77897b81439b47 + .quad 0xf1c1b5e2de331cb5 + .quad 0x5a9f5d8e15fca420 + .quad 0x9fa438f17bd932b1 + .quad 0x2a381bf01c6146e7 + + // 2^92 * 5 * G + + .quad 0xac9b9879cfc811c1 + .quad 0x8b7d29813756e567 + .quad 0x50da4e607c70edfc + .quad 0x5dbca62f884400b6 + .quad 0xf7c0be32b534166f + .quad 0x27e6ca6419cf70d4 + .quad 0x934df7d7a957a759 + .quad 0x5701461dabdec2aa + .quad 0x2c6747402c915c25 + .quad 0x1bdcd1a80b0d340a + .quad 0x5e5601bd07b43f5f + .quad 0x2555b4e05539a242 + + // 2^92 * 6 * G + + .quad 0x6fc09f5266ddd216 + .quad 0xdce560a7c8e37048 + .quad 0xec65939da2df62fd + .quad 0x7a869ae7e52ed192 + .quad 0x78409b1d87e463d4 + .quad 0xad4da95acdfb639d + .quad 0xec28773755259b9c + .quad 0x69c806e9c31230ab + .quad 0x7b48f57414bb3f22 + .quad 0x68c7cee4aedccc88 + .quad 0xed2f936179ed80be + .quad 0x25d70b885f77bc4b + + // 2^92 * 7 * G + + .quad 0x4151c3d9762bf4de + .quad 0x083f435f2745d82b + .quad 0x29775a2e0d23ddd5 + .quad 0x138e3a6269a5db24 + .quad 0x98459d29bb1ae4d4 + .quad 0x56b9c4c739f954ec + .quad 0x832743f6c29b4b3e + .quad 0x21ea8e2798b6878a + .quad 0x87bef4b46a5a7b9c + .quad 0xd2299d1b5fc1d062 + .quad 0x82409818dd321648 + .quad 0x5c5abeb1e5a2e03d + + // 2^92 * 8 * G + + .quad 0x14722af4b73c2ddb + .quad 0xbc470c5f5a05060d + .quad 0x00943eac2581b02e + .quad 0x0e434b3b1f499c8f + .quad 0x02cde6de1306a233 + .quad 0x7b5a52a2116f8ec7 + .quad 0xe1c681f4c1163b5b + .quad 0x241d350660d32643 + .quad 0x6be4404d0ebc52c7 + .quad 0xae46233bb1a791f5 + .quad 0x2aec170ed25db42b + .quad 0x1d8dfd966645d694 + + // 2^96 * 1 * G + + .quad 0x296fa9c59c2ec4de + .quad 0xbc8b61bf4f84f3cb + .quad 0x1c7706d917a8f908 + .quad 0x63b795fc7ad3255d + .quad 0xd598639c12ddb0a4 + .quad 0xa5d19f30c024866b + .quad 0xd17c2f0358fce460 + .quad 0x07a195152e095e8a + .quad 0xa8368f02389e5fc8 + .quad 0x90433b02cf8de43b + .quad 0xafa1fd5dc5412643 + .quad 0x3e8fe83d032f0137 + + // 2^96 * 2 * G + + .quad 0x2f8b15b90570a294 + .quad 0x94f2427067084549 + .quad 0xde1c5ae161bbfd84 + .quad 0x75ba3b797fac4007 + .quad 0x08704c8de8efd13c + .quad 0xdfc51a8e33e03731 + .quad 0xa59d5da51260cde3 + .quad 0x22d60899a6258c86 + .quad 0x6239dbc070cdd196 + .quad 0x60fe8a8b6c7d8a9a + .quad 0xb38847bceb401260 + .quad 0x0904d07b87779e5e + + // 2^96 * 3 * G + + .quad 0xb4ce1fd4ddba919c + .quad 0xcf31db3ec74c8daa + .quad 0x2c63cc63ad86cc51 + .quad 0x43e2143fbc1dde07 + .quad 0xf4322d6648f940b9 + .quad 0x06952f0cbd2d0c39 + .quad 0x167697ada081f931 + .quad 0x6240aacebaf72a6c + .quad 0xf834749c5ba295a0 + .quad 0xd6947c5bca37d25a + .quad 0x66f13ba7e7c9316a + .quad 0x56bdaf238db40cac + + // 2^96 * 4 * G + + .quad 0x362ab9e3f53533eb + .quad 0x338568d56eb93d40 + .quad 0x9e0e14521d5a5572 + .quad 0x1d24a86d83741318 + .quad 0x1310d36cc19d3bb2 + .quad 0x062a6bb7622386b9 + .quad 0x7c9b8591d7a14f5c + .quad 0x03aa31507e1e5754 + .quad 0xf4ec7648ffd4ce1f + .quad 0xe045eaf054ac8c1c + .quad 0x88d225821d09357c + .quad 0x43b261dc9aeb4859 + + // 2^96 * 5 * G + + .quad 0xe55b1e1988bb79bb + .quad 0xa09ed07dc17a359d + .quad 0xb02c2ee2603dea33 + .quad 0x326055cf5b276bc2 + .quad 0x19513d8b6c951364 + .quad 0x94fe7126000bf47b + .quad 0x028d10ddd54f9567 + .quad 0x02b4d5e242940964 + .quad 0xb4a155cb28d18df2 + .quad 0xeacc4646186ce508 + .quad 0xc49cf4936c824389 + .quad 0x27a6c809ae5d3410 + + // 2^96 * 6 * G + + .quad 0x8ba6ebcd1f0db188 + .quad 0x37d3d73a675a5be8 + .quad 0xf22edfa315f5585a + .quad 0x2cb67174ff60a17e + .quad 0xcd2c270ac43d6954 + .quad 0xdd4a3e576a66cab2 + .quad 0x79fa592469d7036c + .quad 0x221503603d8c2599 + .quad 0x59eecdf9390be1d0 + .quad 0xa9422044728ce3f1 + .quad 0x82891c667a94f0f4 + .quad 0x7b1df4b73890f436 + + // 2^96 * 7 * G + + .quad 0xe492f2e0b3b2a224 + .quad 0x7c6c9e062b551160 + .quad 0x15eb8fe20d7f7b0e + .quad 0x61fcef2658fc5992 + .quad 0x5f2e221807f8f58c + .quad 0xe3555c9fd49409d4 + .quad 0xb2aaa88d1fb6a630 + .quad 0x68698245d352e03d + .quad 0xdbb15d852a18187a + .quad 0xf3e4aad386ddacd7 + .quad 0x44bae2810ff6c482 + .quad 0x46cf4c473daf01cf + + // 2^96 * 8 * G + + .quad 0x426525ed9ec4e5f9 + .quad 0x0e5eda0116903303 + .quad 0x72b1a7f2cbe5cadc + .quad 0x29387bcd14eb5f40 + .quad 0x213c6ea7f1498140 + .quad 0x7c1e7ef8392b4854 + .quad 0x2488c38c5629ceba + .quad 0x1065aae50d8cc5bb + .quad 0x1c2c4525df200d57 + .quad 0x5c3b2dd6bfca674a + .quad 0x0a07e7b1e1834030 + .quad 0x69a198e64f1ce716 + + // 2^100 * 1 * G + + .quad 0x7afcd613efa9d697 + .quad 0x0cc45aa41c067959 + .quad 0xa56fe104c1fada96 + .quad 0x3a73b70472e40365 + .quad 0x7b26e56b9e2d4734 + .quad 0xc4c7132b81c61675 + .quad 0xef5c9525ec9cde7f + .quad 0x39c80b16e71743ad + .quad 0x0f196e0d1b826c68 + .quad 0xf71ff0e24960e3db + .quad 0x6113167023b7436c + .quad 0x0cf0ea5877da7282 + + // 2^100 * 2 * G + + .quad 0x196c80a4ddd4ccbd + .quad 0x22e6f55d95f2dd9d + .quad 0xc75e33c740d6c71b + .quad 0x7bb51279cb3c042f + .quad 0xe332ced43ba6945a + .quad 0xde0b1361e881c05d + .quad 0x1ad40f095e67ed3b + .quad 0x5da8acdab8c63d5d + .quad 0xc4b6664a3a70159f + .quad 0x76194f0f0a904e14 + .quad 0xa5614c39a4096c13 + .quad 0x6cd0ff50979feced + + // 2^100 * 3 * G + + .quad 0xc0e067e78f4428ac + .quad 0x14835ab0a61135e3 + .quad 0xf21d14f338062935 + .quad 0x6390a4c8df04849c + .quad 0x7fecfabdb04ba18e + .quad 0xd0fc7bfc3bddbcf7 + .quad 0xa41d486e057a131c + .quad 0x641a4391f2223a61 + .quad 0xc5c6b95aa606a8db + .quad 0x914b7f9eb06825f1 + .quad 0x2a731f6b44fc9eff + .quad 0x30ddf38562705cfc + + // 2^100 * 4 * G + + .quad 0x4e3dcbdad1bff7f9 + .quad 0xc9118e8220645717 + .quad 0xbacccebc0f189d56 + .quad 0x1b4822e9d4467668 + .quad 0x33bef2bd68bcd52c + .quad 0xc649dbb069482ef2 + .quad 0xb5b6ee0c41cb1aee + .quad 0x5c294d270212a7e5 + .quad 0xab360a7f25563781 + .quad 0x2512228a480f7958 + .quad 0xc75d05276114b4e3 + .quad 0x222d9625d976fe2a + + // 2^100 * 5 * G + + .quad 0x1c717f85b372ace1 + .quad 0x81930e694638bf18 + .quad 0x239cad056bc08b58 + .quad 0x0b34271c87f8fff4 + .quad 0x0f94be7e0a344f85 + .quad 0xeb2faa8c87f22c38 + .quad 0x9ce1e75e4ee16f0f + .quad 0x43e64e5418a08dea + .quad 0x8155e2521a35ce63 + .quad 0xbe100d4df912028e + .quad 0xbff80bf8a57ddcec + .quad 0x57342dc96d6bc6e4 + + // 2^100 * 6 * G + + .quad 0xefeef065c8ce5998 + .quad 0xbf029510b5cbeaa2 + .quad 0x8c64a10620b7c458 + .quad 0x35134fb231c24855 + .quad 0xf3c3bcb71e707bf6 + .quad 0x351d9b8c7291a762 + .quad 0x00502e6edad69a33 + .quad 0x522f521f1ec8807f + .quad 0x272c1f46f9a3902b + .quad 0xc91ba3b799657bcc + .quad 0xae614b304f8a1c0e + .quad 0x7afcaad70b99017b + + // 2^100 * 7 * G + + .quad 0xc25ded54a4b8be41 + .quad 0x902d13e11bb0e2dd + .quad 0x41f43233cde82ab2 + .quad 0x1085faa5c3aae7cb + .quad 0xa88141ecef842b6b + .quad 0x55e7b14797abe6c5 + .quad 0x8c748f9703784ffe + .quad 0x5b50a1f7afcd00b7 + .quad 0x9b840f66f1361315 + .quad 0x18462242701003e9 + .quad 0x65ed45fae4a25080 + .quad 0x0a2862393fda7320 + + // 2^100 * 8 * G + + .quad 0x46ab13c8347cbc9d + .quad 0x3849e8d499c12383 + .quad 0x4cea314087d64ac9 + .quad 0x1f354134b1a29ee7 + .quad 0x960e737b6ecb9d17 + .quad 0xfaf24948d67ceae1 + .quad 0x37e7a9b4d55e1b89 + .quad 0x5cb7173cb46c59eb + .quad 0x4a89e68b82b7abf0 + .quad 0xf41cd9279ba6b7b9 + .quad 0x16e6c210e18d876f + .quad 0x7cacdb0f7f1b09c6 + + // 2^104 * 1 * G + + .quad 0x9062b2e0d91a78bc + .quad 0x47c9889cc8509667 + .quad 0x9df54a66405070b8 + .quad 0x7369e6a92493a1bf + .quad 0xe1014434dcc5caed + .quad 0x47ed5d963c84fb33 + .quad 0x70019576ed86a0e7 + .quad 0x25b2697bd267f9e4 + .quad 0x9d673ffb13986864 + .quad 0x3ca5fbd9415dc7b8 + .quad 0xe04ecc3bdf273b5e + .quad 0x1420683db54e4cd2 + + // 2^104 * 2 * G + + .quad 0xb478bd1e249dd197 + .quad 0x620c35005e58c102 + .quad 0xfb02d32fccbaac5c + .quad 0x60b63bebf508a72d + .quad 0x34eebb6fc1cc5ad0 + .quad 0x6a1b0ce99646ac8b + .quad 0xd3b0da49a66bde53 + .quad 0x31e83b4161d081c1 + .quad 0x97e8c7129e062b4f + .quad 0x49e48f4f29320ad8 + .quad 0x5bece14b6f18683f + .quad 0x55cf1eb62d550317 + + // 2^104 * 3 * G + + .quad 0x5879101065c23d58 + .quad 0x8b9d086d5094819c + .quad 0xe2402fa912c55fa7 + .quad 0x669a6564570891d4 + .quad 0x3076b5e37df58c52 + .quad 0xd73ab9dde799cc36 + .quad 0xbd831ce34913ee20 + .quad 0x1a56fbaa62ba0133 + .quad 0x943e6b505c9dc9ec + .quad 0x302557bba77c371a + .quad 0x9873ae5641347651 + .quad 0x13c4836799c58a5c + + // 2^104 * 4 * G + + .quad 0x423a5d465ab3e1b9 + .quad 0xfc13c187c7f13f61 + .quad 0x19f83664ecb5b9b6 + .quad 0x66f80c93a637b607 + .quad 0xc4dcfb6a5d8bd080 + .quad 0xdeebc4ec571a4842 + .quad 0xd4b2e883b8e55365 + .quad 0x50bdc87dc8e5b827 + .quad 0x606d37836edfe111 + .quad 0x32353e15f011abd9 + .quad 0x64b03ac325b73b96 + .quad 0x1dd56444725fd5ae + + // 2^104 * 5 * G + + .quad 0x8fa47ff83362127d + .quad 0xbc9f6ac471cd7c15 + .quad 0x6e71454349220c8b + .quad 0x0e645912219f732e + .quad 0xc297e60008bac89a + .quad 0x7d4cea11eae1c3e0 + .quad 0xf3e38be19fe7977c + .quad 0x3a3a450f63a305cd + .quad 0x078f2f31d8394627 + .quad 0x389d3183de94a510 + .quad 0xd1e36c6d17996f80 + .quad 0x318c8d9393a9a87b + + // 2^104 * 6 * G + + .quad 0xf2745d032afffe19 + .quad 0x0c9f3c497f24db66 + .quad 0xbc98d3e3ba8598ef + .quad 0x224c7c679a1d5314 + .quad 0x5d669e29ab1dd398 + .quad 0xfc921658342d9e3b + .quad 0x55851dfdf35973cd + .quad 0x509a41c325950af6 + .quad 0xbdc06edca6f925e9 + .quad 0x793ef3f4641b1f33 + .quad 0x82ec12809d833e89 + .quad 0x05bff02328a11389 + + // 2^104 * 7 * G + + .quad 0x3632137023cae00b + .quad 0x544acf0ad1accf59 + .quad 0x96741049d21a1c88 + .quad 0x780b8cc3fa2a44a7 + .quad 0x6881a0dd0dc512e4 + .quad 0x4fe70dc844a5fafe + .quad 0x1f748e6b8f4a5240 + .quad 0x576277cdee01a3ea + .quad 0x1ef38abc234f305f + .quad 0x9a577fbd1405de08 + .quad 0x5e82a51434e62a0d + .quad 0x5ff418726271b7a1 + + // 2^104 * 8 * G + + .quad 0x398e080c1789db9d + .quad 0xa7602025f3e778f5 + .quad 0xfa98894c06bd035d + .quad 0x106a03dc25a966be + .quad 0xe5db47e813b69540 + .quad 0xf35d2a3b432610e1 + .quad 0xac1f26e938781276 + .quad 0x29d4db8ca0a0cb69 + .quad 0xd9ad0aaf333353d0 + .quad 0x38669da5acd309e5 + .quad 0x3c57658ac888f7f0 + .quad 0x4ab38a51052cbefa + + // 2^108 * 1 * G + + .quad 0xdfdacbee4324c0e9 + .quad 0x054442883f955bb7 + .quad 0xdef7aaa8ea31609f + .quad 0x68aee70642287cff + .quad 0xf68fe2e8809de054 + .quad 0xe3bc096a9c82bad1 + .quad 0x076353d40aadbf45 + .quad 0x7b9b1fb5dea1959e + .quad 0xf01cc8f17471cc0c + .quad 0x95242e37579082bb + .quad 0x27776093d3e46b5f + .quad 0x2d13d55a28bd85fb + + // 2^108 * 2 * G + + .quad 0xfac5d2065b35b8da + .quad 0xa8da8a9a85624bb7 + .quad 0xccd2ca913d21cd0f + .quad 0x6b8341ee8bf90d58 + .quad 0xbf019cce7aee7a52 + .quad 0xa8ded2b6e454ead3 + .quad 0x3c619f0b87a8bb19 + .quad 0x3619b5d7560916d8 + .quad 0x3579f26b0282c4b2 + .quad 0x64d592f24fafefae + .quad 0xb7cded7b28c8c7c0 + .quad 0x6a927b6b7173a8d7 + + // 2^108 * 3 * G + + .quad 0x1f6db24f986e4656 + .quad 0x1021c02ed1e9105b + .quad 0xf8ff3fff2cc0a375 + .quad 0x1d2a6bf8c6c82592 + .quad 0x8d7040863ece88eb + .quad 0xf0e307a980eec08c + .quad 0xac2250610d788fda + .quad 0x056d92a43a0d478d + .quad 0x1b05a196fc3da5a1 + .quad 0x77d7a8c243b59ed0 + .quad 0x06da3d6297d17918 + .quad 0x66fbb494f12353f7 + + // 2^108 * 4 * G + + .quad 0x751a50b9d85c0fb8 + .quad 0xd1afdc258bcf097b + .quad 0x2f16a6a38309a969 + .quad 0x14ddff9ee5b00659 + .quad 0xd6d70996f12309d6 + .quad 0xdbfb2385e9c3d539 + .quad 0x46d602b0f7552411 + .quad 0x270a0b0557843e0c + .quad 0x61ff0640a7862bcc + .quad 0x81cac09a5f11abfe + .quad 0x9047830455d12abb + .quad 0x19a4bde1945ae873 + + // 2^108 * 5 * G + + .quad 0x9b9f26f520a6200a + .quad 0x64804443cf13eaf8 + .quad 0x8a63673f8631edd3 + .quad 0x72bbbce11ed39dc1 + .quad 0x40c709dec076c49f + .quad 0x657bfaf27f3e53f6 + .quad 0x40662331eca042c4 + .quad 0x14b375487eb4df04 + .quad 0xae853c94ab66dc47 + .quad 0xeb62343edf762d6e + .quad 0xf08e0e186fb2f7d1 + .quad 0x4f0b1c02700ab37a + + // 2^108 * 6 * G + + .quad 0xe1706787d81951fa + .quad 0xa10a2c8eb290c77b + .quad 0xe7382fa03ed66773 + .quad 0x0a4d84710bcc4b54 + .quad 0x79fd21ccc1b2e23f + .quad 0x4ae7c281453df52a + .quad 0xc8172ec9d151486b + .quad 0x68abe9443e0a7534 + .quad 0xda12c6c407831dcb + .quad 0x0da230d74d5c510d + .quad 0x4ab1531e6bd404e1 + .quad 0x4106b166bcf440ef + + // 2^108 * 7 * G + + .quad 0x02e57a421cd23668 + .quad 0x4ad9fb5d0eaef6fd + .quad 0x954e6727b1244480 + .quad 0x7f792f9d2699f331 + .quad 0xa485ccd539e4ecf2 + .quad 0x5aa3f3ad0555bab5 + .quad 0x145e3439937df82d + .quad 0x1238b51e1214283f + .quad 0x0b886b925fd4d924 + .quad 0x60906f7a3626a80d + .quad 0xecd367b4b98abd12 + .quad 0x2876beb1def344cf + + // 2^108 * 8 * G + + .quad 0xdc84e93563144691 + .quad 0x632fe8a0d61f23f4 + .quad 0x4caa800612a9a8d5 + .quad 0x48f9dbfa0e9918d3 + .quad 0xd594b3333a8a85f8 + .quad 0x4ea37689e78d7d58 + .quad 0x73bf9f455e8e351f + .quad 0x5507d7d2bc41ebb4 + .quad 0x1ceb2903299572fc + .quad 0x7c8ccaa29502d0ee + .quad 0x91bfa43411cce67b + .quad 0x5784481964a831e7 + + // 2^112 * 1 * G + + .quad 0xda7c2b256768d593 + .quad 0x98c1c0574422ca13 + .quad 0xf1a80bd5ca0ace1d + .quad 0x29cdd1adc088a690 + .quad 0xd6cfd1ef5fddc09c + .quad 0xe82b3efdf7575dce + .quad 0x25d56b5d201634c2 + .quad 0x3041c6bb04ed2b9b + .quad 0x0ff2f2f9d956e148 + .quad 0xade797759f356b2e + .quad 0x1a4698bb5f6c025c + .quad 0x104bbd6814049a7b + + // 2^112 * 2 * G + + .quad 0x51f0fd3168f1ed67 + .quad 0x2c811dcdd86f3bc2 + .quad 0x44dc5c4304d2f2de + .quad 0x5be8cc57092a7149 + .quad 0xa95d9a5fd67ff163 + .quad 0xe92be69d4cc75681 + .quad 0xb7f8024cde20f257 + .quad 0x204f2a20fb072df5 + .quad 0xc8143b3d30ebb079 + .quad 0x7589155abd652e30 + .quad 0x653c3c318f6d5c31 + .quad 0x2570fb17c279161f + + // 2^112 * 3 * G + + .quad 0x3efa367f2cb61575 + .quad 0xf5f96f761cd6026c + .quad 0xe8c7142a65b52562 + .quad 0x3dcb65ea53030acd + .quad 0x192ea9550bb8245a + .quad 0xc8e6fba88f9050d1 + .quad 0x7986ea2d88a4c935 + .quad 0x241c5f91de018668 + .quad 0x28d8172940de6caa + .quad 0x8fbf2cf022d9733a + .quad 0x16d7fcdd235b01d1 + .quad 0x08420edd5fcdf0e5 + + // 2^112 * 4 * G + + .quad 0xcdff20ab8362fa4a + .quad 0x57e118d4e21a3e6e + .quad 0xe3179617fc39e62b + .quad 0x0d9a53efbc1769fd + .quad 0x0358c34e04f410ce + .quad 0xb6135b5a276e0685 + .quad 0x5d9670c7ebb91521 + .quad 0x04d654f321db889c + .quad 0x5e7dc116ddbdb5d5 + .quad 0x2954deb68da5dd2d + .quad 0x1cb608173334a292 + .quad 0x4a7a4f2618991ad7 + + // 2^112 * 5 * G + + .quad 0xf4a718025fb15f95 + .quad 0x3df65f346b5c1b8f + .quad 0xcdfcf08500e01112 + .quad 0x11b50c4cddd31848 + .quad 0x24c3b291af372a4b + .quad 0x93da8270718147f2 + .quad 0xdd84856486899ef2 + .quad 0x4a96314223e0ee33 + .quad 0xa6e8274408a4ffd6 + .quad 0x738e177e9c1576d9 + .quad 0x773348b63d02b3f2 + .quad 0x4f4bce4dce6bcc51 + + // 2^112 * 6 * G + + .quad 0xa71fce5ae2242584 + .quad 0x26ea725692f58a9e + .quad 0xd21a09d71cea3cf4 + .quad 0x73fcdd14b71c01e6 + .quad 0x30e2616ec49d0b6f + .quad 0xe456718fcaec2317 + .quad 0x48eb409bf26b4fa6 + .quad 0x3042cee561595f37 + .quad 0x427e7079449bac41 + .quad 0x855ae36dbce2310a + .quad 0x4cae76215f841a7c + .quad 0x389e740c9a9ce1d6 + + // 2^112 * 7 * G + + .quad 0x64fcb3ae34dcb9ce + .quad 0x97500323e348d0ad + .quad 0x45b3f07d62c6381b + .quad 0x61545379465a6788 + .quad 0xc9bd78f6570eac28 + .quad 0xe55b0b3227919ce1 + .quad 0x65fc3eaba19b91ed + .quad 0x25c425e5d6263690 + .quad 0x3f3e06a6f1d7de6e + .quad 0x3ef976278e062308 + .quad 0x8c14f6264e8a6c77 + .quad 0x6539a08915484759 + + // 2^112 * 8 * G + + .quad 0xe9d21f74c3d2f773 + .quad 0xc150544125c46845 + .quad 0x624e5ce8f9b99e33 + .quad 0x11c5e4aac5cd186c + .quad 0xddc4dbd414bb4a19 + .quad 0x19b2bc3c98424f8e + .quad 0x48a89fd736ca7169 + .quad 0x0f65320ef019bd90 + .quad 0xd486d1b1cafde0c6 + .quad 0x4f3fe6e3163b5181 + .quad 0x59a8af0dfaf2939a + .quad 0x4cabc7bdec33072a + + // 2^116 * 1 * G + + .quad 0x16faa8fb532f7428 + .quad 0xdbd42ea046a4e272 + .quad 0x5337653b8b9ea480 + .quad 0x4065947223973f03 + .quad 0xf7c0a19c1a54a044 + .quad 0x4a1c5e2477bd9fbb + .quad 0xa6e3ca115af22972 + .quad 0x1819bb953f2e9e0d + .quad 0x498fbb795e042e84 + .quad 0x7d0dd89a7698b714 + .quad 0x8bfb0ba427fe6295 + .quad 0x36ba82e721200524 + + // 2^116 * 2 * G + + .quad 0xd60ecbb74245ec41 + .quad 0xfd9be89e34348716 + .quad 0xc9240afee42284de + .quad 0x4472f648d0531db4 + .quad 0xc8d69d0a57274ed5 + .quad 0x45ba803260804b17 + .quad 0xdf3cda102255dfac + .quad 0x77d221232709b339 + .quad 0x498a6d7064ad94d8 + .quad 0xa5b5c8fd9af62263 + .quad 0x8ca8ed0545c141f4 + .quad 0x2c63bec3662d358c + + // 2^116 * 3 * G + + .quad 0x7fe60d8bea787955 + .quad 0xb9dc117eb5f401b7 + .quad 0x91c7c09a19355cce + .quad 0x22692ef59442bedf + .quad 0x9a518b3a8586f8bf + .quad 0x9ee71af6cbb196f0 + .quad 0xaa0625e6a2385cf2 + .quad 0x1deb2176ddd7c8d1 + .quad 0x8563d19a2066cf6c + .quad 0x401bfd8c4dcc7cd7 + .quad 0xd976a6becd0d8f62 + .quad 0x67cfd773a278b05e + + // 2^116 * 4 * G + + .quad 0x8dec31faef3ee475 + .quad 0x99dbff8a9e22fd92 + .quad 0x512d11594e26cab1 + .quad 0x0cde561eec4310b9 + .quad 0x2d5fa9855a4e586a + .quad 0x65f8f7a449beab7e + .quad 0xaa074dddf21d33d3 + .quad 0x185cba721bcb9dee + .quad 0x93869da3f4e3cb41 + .quad 0xbf0392f540f7977e + .quad 0x026204fcd0463b83 + .quad 0x3ec91a769eec6eed + + // 2^116 * 5 * G + + .quad 0x1e9df75bf78166ad + .quad 0x4dfda838eb0cd7af + .quad 0xba002ed8c1eaf988 + .quad 0x13fedb3e11f33cfc + .quad 0x0fad2fb7b0a3402f + .quad 0x46615ecbfb69f4a8 + .quad 0xf745bcc8c5f8eaa6 + .quad 0x7a5fa8794a94e896 + .quad 0x52958faa13cd67a1 + .quad 0x965ee0818bdbb517 + .quad 0x16e58daa2e8845b3 + .quad 0x357d397d5499da8f + + // 2^116 * 6 * G + + .quad 0x1ebfa05fb0bace6c + .quad 0xc934620c1caf9a1e + .quad 0xcc771cc41d82b61a + .quad 0x2d94a16aa5f74fec + .quad 0x481dacb4194bfbf8 + .quad 0x4d77e3f1bae58299 + .quad 0x1ef4612e7d1372a0 + .quad 0x3a8d867e70ff69e1 + .quad 0x6f58cd5d55aff958 + .quad 0xba3eaa5c75567721 + .quad 0x75c123999165227d + .quad 0x69be1343c2f2b35e + + // 2^116 * 7 * G + + .quad 0x0e091d5ee197c92a + .quad 0x4f51019f2945119f + .quad 0x143679b9f034e99c + .quad 0x7d88112e4d24c696 + .quad 0x82bbbdac684b8de3 + .quad 0xa2f4c7d03fca0718 + .quad 0x337f92fbe096aaa8 + .quad 0x200d4d8c63587376 + .quad 0x208aed4b4893b32b + .quad 0x3efbf23ebe59b964 + .quad 0xd762deb0dba5e507 + .quad 0x69607bd681bd9d94 + + // 2^116 * 8 * G + + .quad 0xf6be021068de1ce1 + .quad 0xe8d518e70edcbc1f + .quad 0xe3effdd01b5505a5 + .quad 0x35f63353d3ec3fd0 + .quad 0x3b7f3bd49323a902 + .quad 0x7c21b5566b2c6e53 + .quad 0xe5ba8ff53a7852a7 + .quad 0x28bc77a5838ece00 + .quad 0x63ba78a8e25d8036 + .quad 0x63651e0094333490 + .quad 0x48d82f20288ce532 + .quad 0x3a31abfa36b57524 + + // 2^120 * 1 * G + + .quad 0x239e9624089c0a2e + .quad 0xc748c4c03afe4738 + .quad 0x17dbed2a764fa12a + .quad 0x639b93f0321c8582 + .quad 0xc08f788f3f78d289 + .quad 0xfe30a72ca1404d9f + .quad 0xf2778bfccf65cc9d + .quad 0x7ee498165acb2021 + .quad 0x7bd508e39111a1c3 + .quad 0x2b2b90d480907489 + .quad 0xe7d2aec2ae72fd19 + .quad 0x0edf493c85b602a6 + + // 2^120 * 2 * G + + .quad 0xaecc8158599b5a68 + .quad 0xea574f0febade20e + .quad 0x4fe41d7422b67f07 + .quad 0x403b92e3019d4fb4 + .quad 0x6767c4d284764113 + .quad 0xa090403ff7f5f835 + .quad 0x1c8fcffacae6bede + .quad 0x04c00c54d1dfa369 + .quad 0x4dc22f818b465cf8 + .quad 0x71a0f35a1480eff8 + .quad 0xaee8bfad04c7d657 + .quad 0x355bb12ab26176f4 + + // 2^120 * 3 * G + + .quad 0xa71e64cc7493bbf4 + .quad 0xe5bd84d9eca3b0c3 + .quad 0x0a6bc50cfa05e785 + .quad 0x0f9b8132182ec312 + .quad 0xa301dac75a8c7318 + .quad 0xed90039db3ceaa11 + .quad 0x6f077cbf3bae3f2d + .quad 0x7518eaf8e052ad8e + .quad 0xa48859c41b7f6c32 + .quad 0x0f2d60bcf4383298 + .quad 0x1815a929c9b1d1d9 + .quad 0x47c3871bbb1755c4 + + // 2^120 * 4 * G + + .quad 0x5144539771ec4f48 + .quad 0xf805b17dc98c5d6e + .quad 0xf762c11a47c3c66b + .quad 0x00b89b85764699dc + .quad 0xfbe65d50c85066b0 + .quad 0x62ecc4b0b3a299b0 + .quad 0xe53754ea441ae8e0 + .quad 0x08fea02ce8d48d5f + .quad 0x824ddd7668deead0 + .quad 0xc86445204b685d23 + .quad 0xb514cfcd5d89d665 + .quad 0x473829a74f75d537 + + // 2^120 * 5 * G + + .quad 0x82d2da754679c418 + .quad 0xe63bd7d8b2618df0 + .quad 0x355eef24ac47eb0a + .quad 0x2078684c4833c6b4 + .quad 0x23d9533aad3902c9 + .quad 0x64c2ddceef03588f + .quad 0x15257390cfe12fb4 + .quad 0x6c668b4d44e4d390 + .quad 0x3b48cf217a78820c + .quad 0xf76a0ab281273e97 + .quad 0xa96c65a78c8eed7b + .quad 0x7411a6054f8a433f + + // 2^120 * 6 * G + + .quad 0x4d659d32b99dc86d + .quad 0x044cdc75603af115 + .quad 0xb34c712cdcc2e488 + .quad 0x7c136574fb8134ff + .quad 0x579ae53d18b175b4 + .quad 0x68713159f392a102 + .quad 0x8455ecba1eef35f5 + .quad 0x1ec9a872458c398f + .quad 0xb8e6a4d400a2509b + .quad 0x9b81d7020bc882b4 + .quad 0x57e7cc9bf1957561 + .quad 0x3add88a5c7cd6460 + + // 2^120 * 7 * G + + .quad 0xab895770b635dcf2 + .quad 0x02dfef6cf66c1fbc + .quad 0x85530268beb6d187 + .quad 0x249929fccc879e74 + .quad 0x85c298d459393046 + .quad 0x8f7e35985ff659ec + .quad 0x1d2ca22af2f66e3a + .quad 0x61ba1131a406a720 + .quad 0xa3d0a0f116959029 + .quad 0x023b6b6cba7ebd89 + .quad 0x7bf15a3e26783307 + .quad 0x5620310cbbd8ece7 + + // 2^120 * 8 * G + + .quad 0x528993434934d643 + .quad 0xb9dbf806a51222f5 + .quad 0x8f6d878fc3f41c22 + .quad 0x37676a2a4d9d9730 + .quad 0x6646b5f477e285d6 + .quad 0x40e8ff676c8f6193 + .quad 0xa6ec7311abb594dd + .quad 0x7ec846f3658cec4d + .quad 0x9b5e8f3f1da22ec7 + .quad 0x130f1d776c01cd13 + .quad 0x214c8fcfa2989fb8 + .quad 0x6daaf723399b9dd5 + + // 2^124 * 1 * G + + .quad 0x591e4a5610628564 + .quad 0x2a4bb87ca8b4df34 + .quad 0xde2a2572e7a38e43 + .quad 0x3cbdabd9fee5046e + .quad 0x81aebbdd2cd13070 + .quad 0x962e4325f85a0e9e + .quad 0xde9391aacadffecb + .quad 0x53177fda52c230e6 + .quad 0xa7bc970650b9de79 + .quad 0x3d12a7fbc301b59b + .quad 0x02652e68d36ae38c + .quad 0x79d739835a6199dc + + // 2^124 * 2 * G + + .quad 0xd9354df64131c1bd + .quad 0x758094a186ec5822 + .quad 0x4464ee12e459f3c2 + .quad 0x6c11fce4cb133282 + .quad 0x21c9d9920d591737 + .quad 0x9bea41d2e9b46cd6 + .quad 0xe20e84200d89bfca + .quad 0x79d99f946eae5ff8 + .quad 0xf17b483568673205 + .quad 0x387deae83caad96c + .quad 0x61b471fd56ffe386 + .quad 0x31741195b745a599 + + // 2^124 * 3 * G + + .quad 0xe8d10190b77a360b + .quad 0x99b983209995e702 + .quad 0xbd4fdff8fa0247aa + .quad 0x2772e344e0d36a87 + .quad 0x17f8ba683b02a047 + .quad 0x50212096feefb6c8 + .quad 0x70139be21556cbe2 + .quad 0x203e44a11d98915b + .quad 0xd6863eba37b9e39f + .quad 0x105bc169723b5a23 + .quad 0x104f6459a65c0762 + .quad 0x567951295b4d38d4 + + // 2^124 * 4 * G + + .quad 0x535fd60613037524 + .quad 0xe210adf6b0fbc26a + .quad 0xac8d0a9b23e990ae + .quad 0x47204d08d72fdbf9 + .quad 0x07242eb30d4b497f + .quad 0x1ef96306b9bccc87 + .quad 0x37950934d8116f45 + .quad 0x05468d6201405b04 + .quad 0x00f565a9f93267de + .quad 0xcecfd78dc0d58e8a + .quad 0xa215e2dcf318e28e + .quad 0x4599ee919b633352 + + // 2^124 * 5 * G + + .quad 0xd3c220ca70e0e76b + .quad 0xb12bea58ea9f3094 + .quad 0x294ddec8c3271282 + .quad 0x0c3539e1a1d1d028 + .quad 0xac746d6b861ae579 + .quad 0x31ab0650f6aea9dc + .quad 0x241d661140256d4c + .quad 0x2f485e853d21a5de + .quad 0x329744839c0833f3 + .quad 0x6fe6257fd2abc484 + .quad 0x5327d1814b358817 + .quad 0x65712585893fe9bc + + // 2^124 * 6 * G + + .quad 0x9c102fb732a61161 + .quad 0xe48e10dd34d520a8 + .quad 0x365c63546f9a9176 + .quad 0x32f6fe4c046f6006 + .quad 0x81c29f1bd708ee3f + .quad 0xddcb5a05ae6407d0 + .quad 0x97aec1d7d2a3eba7 + .quad 0x1590521a91d50831 + .quad 0x40a3a11ec7910acc + .quad 0x9013dff8f16d27ae + .quad 0x1a9720d8abb195d4 + .quad 0x1bb9fe452ea98463 + + // 2^124 * 7 * G + + .quad 0xe9d1d950b3d54f9e + .quad 0x2d5f9cbee00d33c1 + .quad 0x51c2c656a04fc6ac + .quad 0x65c091ee3c1cbcc9 + .quad 0xcf5e6c95cc36747c + .quad 0x294201536b0bc30d + .quad 0x453ac67cee797af0 + .quad 0x5eae6ab32a8bb3c9 + .quad 0x7083661114f118ea + .quad 0x2b37b87b94349cad + .quad 0x7273f51cb4e99f40 + .quad 0x78a2a95823d75698 + + // 2^124 * 8 * G + + .quad 0xa2b072e95c8c2ace + .quad 0x69cffc96651e9c4b + .quad 0x44328ef842e7b42b + .quad 0x5dd996c122aadeb3 + .quad 0xb4f23c425ef83207 + .quad 0xabf894d3c9a934b5 + .quad 0xd0708c1339fd87f7 + .quad 0x1876789117166130 + .quad 0x925b5ef0670c507c + .quad 0x819bc842b93c33bf + .quad 0x10792e9a70dd003f + .quad 0x59ad4b7a6e28dc74 + + // 2^128 * 1 * G + + .quad 0x5f3a7562eb3dbe47 + .quad 0xf7ea38548ebda0b8 + .quad 0x00c3e53145747299 + .quad 0x1304e9e71627d551 + .quad 0x583b04bfacad8ea2 + .quad 0x29b743e8148be884 + .quad 0x2b1e583b0810c5db + .quad 0x2b5449e58eb3bbaa + .quad 0x789814d26adc9cfe + .quad 0x3c1bab3f8b48dd0b + .quad 0xda0fe1fff979c60a + .quad 0x4468de2d7c2dd693 + + // 2^128 * 2 * G + + .quad 0x51bb355e9419469e + .quad 0x33e6dc4c23ddc754 + .quad 0x93a5b6d6447f9962 + .quad 0x6cce7c6ffb44bd63 + .quad 0x4b9ad8c6f86307ce + .quad 0x21113531435d0c28 + .quad 0xd4a866c5657a772c + .quad 0x5da6427e63247352 + .quad 0x1a94c688deac22ca + .quad 0xb9066ef7bbae1ff8 + .quad 0x88ad8c388d59580f + .quad 0x58f29abfe79f2ca8 + + // 2^128 * 3 * G + + .quad 0xe90ecfab8de73e68 + .quad 0x54036f9f377e76a5 + .quad 0xf0495b0bbe015982 + .quad 0x577629c4a7f41e36 + .quad 0x4b5a64bf710ecdf6 + .quad 0xb14ce538462c293c + .quad 0x3643d056d50b3ab9 + .quad 0x6af93724185b4870 + .quad 0x3220024509c6a888 + .quad 0xd2e036134b558973 + .quad 0x83e236233c33289f + .quad 0x701f25bb0caec18f + + // 2^128 * 4 * G + + .quad 0xc3a8b0f8e4616ced + .quad 0xf700660e9e25a87d + .quad 0x61e3061ff4bca59c + .quad 0x2e0c92bfbdc40be9 + .quad 0x9d18f6d97cbec113 + .quad 0x844a06e674bfdbe4 + .quad 0x20f5b522ac4e60d6 + .quad 0x720a5bc050955e51 + .quad 0x0c3f09439b805a35 + .quad 0xe84e8b376242abfc + .quad 0x691417f35c229346 + .quad 0x0e9b9cbb144ef0ec + + // 2^128 * 5 * G + + .quad 0xfbbad48ffb5720ad + .quad 0xee81916bdbf90d0e + .quad 0xd4813152635543bf + .quad 0x221104eb3f337bd8 + .quad 0x8dee9bd55db1beee + .quad 0xc9c3ab370a723fb9 + .quad 0x44a8f1bf1c68d791 + .quad 0x366d44191cfd3cde + .quad 0x9e3c1743f2bc8c14 + .quad 0x2eda26fcb5856c3b + .quad 0xccb82f0e68a7fb97 + .quad 0x4167a4e6bc593244 + + // 2^128 * 6 * G + + .quad 0x643b9d2876f62700 + .quad 0x5d1d9d400e7668eb + .quad 0x1b4b430321fc0684 + .quad 0x7938bb7e2255246a + .quad 0xc2be2665f8ce8fee + .quad 0xe967ff14e880d62c + .quad 0xf12e6e7e2f364eee + .quad 0x34b33370cb7ed2f6 + .quad 0xcdc591ee8681d6cc + .quad 0xce02109ced85a753 + .quad 0xed7485c158808883 + .quad 0x1176fc6e2dfe65e4 + + // 2^128 * 7 * G + + .quad 0xb4af6cd05b9c619b + .quad 0x2ddfc9f4b2a58480 + .quad 0x3d4fa502ebe94dc4 + .quad 0x08fc3a4c677d5f34 + .quad 0xdb90e28949770eb8 + .quad 0x98fbcc2aacf440a3 + .quad 0x21354ffeded7879b + .quad 0x1f6a3e54f26906b6 + .quad 0x60a4c199d30734ea + .quad 0x40c085b631165cd6 + .quad 0xe2333e23f7598295 + .quad 0x4f2fad0116b900d1 + + // 2^128 * 8 * G + + .quad 0x44beb24194ae4e54 + .quad 0x5f541c511857ef6c + .quad 0xa61e6b2d368d0498 + .quad 0x445484a4972ef7ab + .quad 0x962cd91db73bb638 + .quad 0xe60577aafc129c08 + .quad 0x6f619b39f3b61689 + .quad 0x3451995f2944ee81 + .quad 0x9152fcd09fea7d7c + .quad 0x4a816c94b0935cf6 + .quad 0x258e9aaa47285c40 + .quad 0x10b89ca6042893b7 + + // 2^132 * 1 * G + + .quad 0x9b2a426e3b646025 + .quad 0x32127190385ce4cf + .quad 0xa25cffc2dd6dea45 + .quad 0x06409010bea8de75 + .quad 0xd67cded679d34aa0 + .quad 0xcc0b9ec0cc4db39f + .quad 0xa535a456e35d190f + .quad 0x2e05d9eaf61f6fef + .quad 0xc447901ad61beb59 + .quad 0x661f19bce5dc880a + .quad 0x24685482b7ca6827 + .quad 0x293c778cefe07f26 + + // 2^132 * 2 * G + + .quad 0x86809e7007069096 + .quad 0xaad75b15e4e50189 + .quad 0x07f35715a21a0147 + .quad 0x0487f3f112815d5e + .quad 0x16c795d6a11ff200 + .quad 0xcb70d0e2b15815c9 + .quad 0x89f293209b5395b5 + .quad 0x50b8c2d031e47b4f + .quad 0x48350c08068a4962 + .quad 0x6ffdd05351092c9a + .quad 0x17af4f4aaf6fc8dd + .quad 0x4b0553b53cdba58b + + // 2^132 * 3 * G + + .quad 0x9c65fcbe1b32ff79 + .quad 0xeb75ea9f03b50f9b + .quad 0xfced2a6c6c07e606 + .quad 0x35106cd551717908 + .quad 0xbf05211b27c152d4 + .quad 0x5ec26849bd1af639 + .quad 0x5e0b2caa8e6fab98 + .quad 0x054c8bdd50bd0840 + .quad 0x38a0b12f1dcf073d + .quad 0x4b60a8a3b7f6a276 + .quad 0xfed5ac25d3404f9a + .quad 0x72e82d5e5505c229 + + // 2^132 * 4 * G + + .quad 0x6b0b697ff0d844c8 + .quad 0xbb12f85cd979cb49 + .quad 0xd2a541c6c1da0f1f + .quad 0x7b7c242958ce7211 + .quad 0x00d9cdfd69771d02 + .quad 0x410276cd6cfbf17e + .quad 0x4c45306c1cb12ec7 + .quad 0x2857bf1627500861 + .quad 0x9f21903f0101689e + .quad 0xd779dfd3bf861005 + .quad 0xa122ee5f3deb0f1b + .quad 0x510df84b485a00d4 + + // 2^132 * 5 * G + + .quad 0xa54133bb9277a1fa + .quad 0x74ec3b6263991237 + .quad 0x1a3c54dc35d2f15a + .quad 0x2d347144e482ba3a + .quad 0x24b3c887c70ac15e + .quad 0xb0f3a557fb81b732 + .quad 0x9b2cde2fe578cc1b + .quad 0x4cf7ed0703b54f8e + .quad 0x6bd47c6598fbee0f + .quad 0x9e4733e2ab55be2d + .quad 0x1093f624127610c5 + .quad 0x4e05e26ad0a1eaa4 + + // 2^132 * 6 * G + + .quad 0xda9b6b624b531f20 + .quad 0x429a760e77509abb + .quad 0xdbe9f522e823cb80 + .quad 0x618f1856880c8f82 + .quad 0x1833c773e18fe6c0 + .quad 0xe3c4711ad3c87265 + .quad 0x3bfd3c4f0116b283 + .quad 0x1955875eb4cd4db8 + .quad 0x6da6de8f0e399799 + .quad 0x7ad61aa440fda178 + .quad 0xb32cd8105e3563dd + .quad 0x15f6beae2ae340ae + + // 2^132 * 7 * G + + .quad 0x862bcb0c31ec3a62 + .quad 0x810e2b451138f3c2 + .quad 0x788ec4b839dac2a4 + .quad 0x28f76867ae2a9281 + .quad 0xba9a0f7b9245e215 + .quad 0xf368612dd98c0dbb + .quad 0x2e84e4cbf220b020 + .quad 0x6ba92fe962d90eda + .quad 0x3e4df9655884e2aa + .quad 0xbd62fbdbdbd465a5 + .quad 0xd7596caa0de9e524 + .quad 0x6e8042ccb2b1b3d7 + + // 2^132 * 8 * G + + .quad 0xf10d3c29ce28ca6e + .quad 0xbad34540fcb6093d + .quad 0xe7426ed7a2ea2d3f + .quad 0x08af9d4e4ff298b9 + .quad 0x1530653616521f7e + .quad 0x660d06b896203dba + .quad 0x2d3989bc545f0879 + .quad 0x4b5303af78ebd7b0 + .quad 0x72f8a6c3bebcbde8 + .quad 0x4f0fca4adc3a8e89 + .quad 0x6fa9d4e8c7bfdf7a + .quad 0x0dcf2d679b624eb7 + + // 2^136 * 1 * G + + .quad 0x3d5947499718289c + .quad 0x12ebf8c524533f26 + .quad 0x0262bfcb14c3ef15 + .quad 0x20b878d577b7518e + .quad 0x753941be5a45f06e + .quad 0xd07caeed6d9c5f65 + .quad 0x11776b9c72ff51b6 + .quad 0x17d2d1d9ef0d4da9 + .quad 0x27f2af18073f3e6a + .quad 0xfd3fe519d7521069 + .quad 0x22e3b72c3ca60022 + .quad 0x72214f63cc65c6a7 + + // 2^136 * 2 * G + + .quad 0xb4e37f405307a693 + .quad 0xaba714d72f336795 + .quad 0xd6fbd0a773761099 + .quad 0x5fdf48c58171cbc9 + .quad 0x1d9db7b9f43b29c9 + .quad 0xd605824a4f518f75 + .quad 0xf2c072bd312f9dc4 + .quad 0x1f24ac855a1545b0 + .quad 0x24d608328e9505aa + .quad 0x4748c1d10c1420ee + .quad 0xc7ffe45c06fb25a2 + .quad 0x00ba739e2ae395e6 + + // 2^136 * 3 * G + + .quad 0x592e98de5c8790d6 + .quad 0xe5bfb7d345c2a2df + .quad 0x115a3b60f9b49922 + .quad 0x03283a3e67ad78f3 + .quad 0xae4426f5ea88bb26 + .quad 0x360679d984973bfb + .quad 0x5c9f030c26694e50 + .quad 0x72297de7d518d226 + .quad 0x48241dc7be0cb939 + .quad 0x32f19b4d8b633080 + .quad 0xd3dfc90d02289308 + .quad 0x05e1296846271945 + + // 2^136 * 4 * G + + .quad 0xba82eeb32d9c495a + .quad 0xceefc8fcf12bb97c + .quad 0xb02dabae93b5d1e0 + .quad 0x39c00c9c13698d9b + .quad 0xadbfbbc8242c4550 + .quad 0xbcc80cecd03081d9 + .quad 0x843566a6f5c8df92 + .quad 0x78cf25d38258ce4c + .quad 0x15ae6b8e31489d68 + .quad 0xaa851cab9c2bf087 + .quad 0xc9a75a97f04efa05 + .quad 0x006b52076b3ff832 + + // 2^136 * 5 * G + + .quad 0x29e0cfe19d95781c + .quad 0xb681df18966310e2 + .quad 0x57df39d370516b39 + .quad 0x4d57e3443bc76122 + .quad 0xf5cb7e16b9ce082d + .quad 0x3407f14c417abc29 + .quad 0xd4b36bce2bf4a7ab + .quad 0x7de2e9561a9f75ce + .quad 0xde70d4f4b6a55ecb + .quad 0x4801527f5d85db99 + .quad 0xdbc9c440d3ee9a81 + .quad 0x6b2a90af1a6029ed + + // 2^136 * 6 * G + + .quad 0x6923f4fc9ae61e97 + .quad 0x5735281de03f5fd1 + .quad 0xa764ae43e6edd12d + .quad 0x5fd8f4e9d12d3e4a + .quad 0x77ebf3245bb2d80a + .quad 0xd8301b472fb9079b + .quad 0xc647e6f24cee7333 + .quad 0x465812c8276c2109 + .quad 0x4d43beb22a1062d9 + .quad 0x7065fb753831dc16 + .quad 0x180d4a7bde2968d7 + .quad 0x05b32c2b1cb16790 + + // 2^136 * 7 * G + + .quad 0xc8c05eccd24da8fd + .quad 0xa1cf1aac05dfef83 + .quad 0xdbbeeff27df9cd61 + .quad 0x3b5556a37b471e99 + .quad 0xf7fca42c7ad58195 + .quad 0x3214286e4333f3cc + .quad 0xb6c29d0d340b979d + .quad 0x31771a48567307e1 + .quad 0x32b0c524e14dd482 + .quad 0xedb351541a2ba4b6 + .quad 0xa3d16048282b5af3 + .quad 0x4fc079d27a7336eb + + // 2^136 * 8 * G + + .quad 0x51c938b089bf2f7f + .quad 0x2497bd6502dfe9a7 + .quad 0xffffc09c7880e453 + .quad 0x124567cecaf98e92 + .quad 0xdc348b440c86c50d + .quad 0x1337cbc9cc94e651 + .quad 0x6422f74d643e3cb9 + .quad 0x241170c2bae3cd08 + .quad 0x3ff9ab860ac473b4 + .quad 0xf0911dee0113e435 + .quad 0x4ae75060ebc6c4af + .quad 0x3f8612966c87000d + + // 2^140 * 1 * G + + .quad 0x0c9c5303f7957be4 + .quad 0xa3c31a20e085c145 + .quad 0xb0721d71d0850050 + .quad 0x0aba390eab0bf2da + .quad 0x529fdffe638c7bf3 + .quad 0xdf2b9e60388b4995 + .quad 0xe027b34f1bad0249 + .quad 0x7bc92fc9b9fa74ed + .quad 0x9f97ef2e801ad9f9 + .quad 0x83697d5479afda3a + .quad 0xe906b3ffbd596b50 + .quad 0x02672b37dd3fb8e0 + + // 2^140 * 2 * G + + .quad 0x48b2ca8b260885e4 + .quad 0xa4286bec82b34c1c + .quad 0x937e1a2617f58f74 + .quad 0x741d1fcbab2ca2a5 + .quad 0xee9ba729398ca7f5 + .quad 0xeb9ca6257a4849db + .quad 0x29eb29ce7ec544e1 + .quad 0x232ca21ef736e2c8 + .quad 0xbf61423d253fcb17 + .quad 0x08803ceafa39eb14 + .quad 0xf18602df9851c7af + .quad 0x0400f3a049e3414b + + // 2^140 * 3 * G + + .quad 0xabce0476ba61c55b + .quad 0x36a3d6d7c4d39716 + .quad 0x6eb259d5e8d82d09 + .quad 0x0c9176e984d756fb + .quad 0x2efba412a06e7b06 + .quad 0x146785452c8d2560 + .quad 0xdf9713ebd67a91c7 + .quad 0x32830ac7157eadf3 + .quad 0x0e782a7ab73769e8 + .quad 0x04a05d7875b18e2c + .quad 0x29525226ebcceae1 + .quad 0x0d794f8383eba820 + + // 2^140 * 4 * G + + .quad 0xff35f5cb9e1516f4 + .quad 0xee805bcf648aae45 + .quad 0xf0d73c2bb93a9ef3 + .quad 0x097b0bf22092a6c2 + .quad 0x7be44ce7a7a2e1ac + .quad 0x411fd93efad1b8b7 + .quad 0x1734a1d70d5f7c9b + .quad 0x0d6592233127db16 + .quad 0xc48bab1521a9d733 + .quad 0xa6c2eaead61abb25 + .quad 0x625c6c1cc6cb4305 + .quad 0x7fc90fea93eb3a67 + + // 2^140 * 5 * G + + .quad 0x0408f1fe1f5c5926 + .quad 0x1a8f2f5e3b258bf4 + .quad 0x40a951a2fdc71669 + .quad 0x6598ee93c98b577e + .quad 0xc527deb59c7cb23d + .quad 0x955391695328404e + .quad 0xd64392817ccf2c7a + .quad 0x6ce97dabf7d8fa11 + .quad 0x25b5a8e50ef7c48f + .quad 0xeb6034116f2ce532 + .quad 0xc5e75173e53de537 + .quad 0x73119fa08c12bb03 + + // 2^140 * 6 * G + + .quad 0xed30129453f1a4cb + .quad 0xbce621c9c8f53787 + .quad 0xfacb2b1338bee7b9 + .quad 0x3025798a9ea8428c + .quad 0x7845b94d21f4774d + .quad 0xbf62f16c7897b727 + .quad 0x671857c03c56522b + .quad 0x3cd6a85295621212 + .quad 0x3fecde923aeca999 + .quad 0xbdaa5b0062e8c12f + .quad 0x67b99dfc96988ade + .quad 0x3f52c02852661036 + + // 2^140 * 7 * G + + .quad 0xffeaa48e2a1351c6 + .quad 0x28624754fa7f53d7 + .quad 0x0b5ba9e57582ddf1 + .quad 0x60c0104ba696ac59 + .quad 0x9258bf99eec416c6 + .quad 0xac8a5017a9d2f671 + .quad 0x629549ab16dea4ab + .quad 0x05d0e85c99091569 + .quad 0x051de020de9cbe97 + .quad 0xfa07fc56b50bcf74 + .quad 0x378cec9f0f11df65 + .quad 0x36853c69ab96de4d + + // 2^140 * 8 * G + + .quad 0x36d9b8de78f39b2d + .quad 0x7f42ed71a847b9ec + .quad 0x241cd1d679bd3fde + .quad 0x6a704fec92fbce6b + .quad 0x4433c0b0fac5e7be + .quad 0x724bae854c08dcbe + .quad 0xf1f24cc446978f9b + .quad 0x4a0aff6d62825fc8 + .quad 0xe917fb9e61095301 + .quad 0xc102df9402a092f8 + .quad 0xbf09e2f5fa66190b + .quad 0x681109bee0dcfe37 + + // 2^144 * 1 * G + + .quad 0x559a0cc9782a0dde + .quad 0x551dcdb2ea718385 + .quad 0x7f62865b31ef238c + .quad 0x504aa7767973613d + .quad 0x9c18fcfa36048d13 + .quad 0x29159db373899ddd + .quad 0xdc9f350b9f92d0aa + .quad 0x26f57eee878a19d4 + .quad 0x0cab2cd55687efb1 + .quad 0x5180d162247af17b + .quad 0x85c15a344f5a2467 + .quad 0x4041943d9dba3069 + + // 2^144 * 2 * G + + .quad 0xc3c0eeba43ebcc96 + .quad 0x8d749c9c26ea9caf + .quad 0xd9fa95ee1c77ccc6 + .quad 0x1420a1d97684340f + .quad 0x4b217743a26caadd + .quad 0x47a6b424648ab7ce + .quad 0xcb1d4f7a03fbc9e3 + .quad 0x12d931429800d019 + .quad 0x00c67799d337594f + .quad 0x5e3c5140b23aa47b + .quad 0x44182854e35ff395 + .quad 0x1b4f92314359a012 + + // 2^144 * 3 * G + + .quad 0x3e5c109d89150951 + .quad 0x39cefa912de9696a + .quad 0x20eae43f975f3020 + .quad 0x239b572a7f132dae + .quad 0x33cf3030a49866b1 + .quad 0x251f73d2215f4859 + .quad 0xab82aa4051def4f6 + .quad 0x5ff191d56f9a23f6 + .quad 0x819ed433ac2d9068 + .quad 0x2883ab795fc98523 + .quad 0xef4572805593eb3d + .quad 0x020c526a758f36cb + + // 2^144 * 4 * G + + .quad 0x779834f89ed8dbbc + .quad 0xc8f2aaf9dc7ca46c + .quad 0xa9524cdca3e1b074 + .quad 0x02aacc4615313877 + .quad 0xe931ef59f042cc89 + .quad 0x2c589c9d8e124bb6 + .quad 0xadc8e18aaec75997 + .quad 0x452cfe0a5602c50c + .quad 0x86a0f7a0647877df + .quad 0xbbc464270e607c9f + .quad 0xab17ea25f1fb11c9 + .quad 0x4cfb7d7b304b877b + + // 2^144 * 5 * G + + .quad 0x72b43d6cb89b75fe + .quad 0x54c694d99c6adc80 + .quad 0xb8c3aa373ee34c9f + .quad 0x14b4622b39075364 + .quad 0xe28699c29789ef12 + .quad 0x2b6ecd71df57190d + .quad 0xc343c857ecc970d0 + .quad 0x5b1d4cbc434d3ac5 + .quad 0xb6fb2615cc0a9f26 + .quad 0x3a4f0e2bb88dcce5 + .quad 0x1301498b3369a705 + .quad 0x2f98f71258592dd1 + + // 2^144 * 6 * G + + .quad 0x0c94a74cb50f9e56 + .quad 0x5b1ff4a98e8e1320 + .quad 0x9a2acc2182300f67 + .quad 0x3a6ae249d806aaf9 + .quad 0x2e12ae444f54a701 + .quad 0xfcfe3ef0a9cbd7de + .quad 0xcebf890d75835de0 + .quad 0x1d8062e9e7614554 + .quad 0x657ada85a9907c5a + .quad 0x1a0ea8b591b90f62 + .quad 0x8d0e1dfbdf34b4e9 + .quad 0x298b8ce8aef25ff3 + + // 2^144 * 7 * G + + .quad 0x2a927953eff70cb2 + .quad 0x4b89c92a79157076 + .quad 0x9418457a30a7cf6a + .quad 0x34b8a8404d5ce485 + .quad 0x837a72ea0a2165de + .quad 0x3fab07b40bcf79f6 + .quad 0x521636c77738ae70 + .quad 0x6ba6271803a7d7dc + .quad 0xc26eecb583693335 + .quad 0xd5a813df63b5fefd + .quad 0xa293aa9aa4b22573 + .quad 0x71d62bdd465e1c6a + + // 2^144 * 8 * G + + .quad 0x6533cc28d378df80 + .quad 0xf6db43790a0fa4b4 + .quad 0xe3645ff9f701da5a + .quad 0x74d5f317f3172ba4 + .quad 0xcd2db5dab1f75ef5 + .quad 0xd77f95cf16b065f5 + .quad 0x14571fea3f49f085 + .quad 0x1c333621262b2b3d + .quad 0xa86fe55467d9ca81 + .quad 0x398b7c752b298c37 + .quad 0xda6d0892e3ac623b + .quad 0x4aebcc4547e9d98c + + // 2^148 * 1 * G + + .quad 0x53175a7205d21a77 + .quad 0xb0c04422d3b934d4 + .quad 0xadd9f24bdd5deadc + .quad 0x074f46e69f10ff8c + .quad 0x0de9b204a059a445 + .quad 0xe15cb4aa4b17ad0f + .quad 0xe1bbec521f79c557 + .quad 0x2633f1b9d071081b + .quad 0xc1fb4177018b9910 + .quad 0xa6ea20dc6c0fe140 + .quad 0xd661f3e74354c6ff + .quad 0x5ecb72e6f1a3407a + + // 2^148 * 2 * G + + .quad 0xa515a31b2259fb4e + .quad 0x0960f3972bcac52f + .quad 0xedb52fec8d3454cb + .quad 0x382e2720c476c019 + .quad 0xfeeae106e8e86997 + .quad 0x9863337f98d09383 + .quad 0x9470480eaa06ebef + .quad 0x038b6898d4c5c2d0 + .quad 0xf391c51d8ace50a6 + .quad 0x3142d0b9ae2d2948 + .quad 0xdb4d5a1a7f24ca80 + .quad 0x21aeba8b59250ea8 + + // 2^148 * 3 * G + + .quad 0x24f13b34cf405530 + .quad 0x3c44ea4a43088af7 + .quad 0x5dd5c5170006a482 + .quad 0x118eb8f8890b086d + .quad 0x53853600f0087f23 + .quad 0x4c461879da7d5784 + .quad 0x6af303deb41f6860 + .quad 0x0a3c16c5c27c18ed + .quad 0x17e49c17cc947f3d + .quad 0xccc6eda6aac1d27b + .quad 0xdf6092ceb0f08e56 + .quad 0x4909b3e22c67c36b + + // 2^148 * 4 * G + + .quad 0x9c9c85ea63fe2e89 + .quad 0xbe1baf910e9412ec + .quad 0x8f7baa8a86fbfe7b + .quad 0x0fb17f9fef968b6c + .quad 0x59a16676706ff64e + .quad 0x10b953dd0d86a53d + .quad 0x5848e1e6ce5c0b96 + .quad 0x2d8b78e712780c68 + .quad 0x79d5c62eafc3902b + .quad 0x773a215289e80728 + .quad 0xc38ae640e10120b9 + .quad 0x09ae23717b2b1a6d + + // 2^148 * 5 * G + + .quad 0xbb6a192a4e4d083c + .quad 0x34ace0630029e192 + .quad 0x98245a59aafabaeb + .quad 0x6d9c8a9ada97faac + .quad 0x10ab8fa1ad32b1d0 + .quad 0xe9aced1be2778b24 + .quad 0xa8856bc0373de90f + .quad 0x66f35ddddda53996 + .quad 0xd27d9afb24997323 + .quad 0x1bb7e07ef6f01d2e + .quad 0x2ba7472df52ecc7f + .quad 0x03019b4f646f9dc8 + + // 2^148 * 6 * G + + .quad 0x04a186b5565345cd + .quad 0xeee76610bcc4116a + .quad 0x689c73b478fb2a45 + .quad 0x387dcbff65697512 + .quad 0xaf09b214e6b3dc6b + .quad 0x3f7573b5ad7d2f65 + .quad 0xd019d988100a23b0 + .quad 0x392b63a58b5c35f7 + .quad 0x4093addc9c07c205 + .quad 0xc565be15f532c37e + .quad 0x63dbecfd1583402a + .quad 0x61722b4aef2e032e + + // 2^148 * 7 * G + + .quad 0x0012aafeecbd47af + .quad 0x55a266fb1cd46309 + .quad 0xf203eb680967c72c + .quad 0x39633944ca3c1429 + .quad 0xd6b07a5581cb0e3c + .quad 0x290ff006d9444969 + .quad 0x08680b6a16dcda1f + .quad 0x5568d2b75a06de59 + .quad 0x8d0cb88c1b37cfe1 + .quad 0x05b6a5a3053818f3 + .quad 0xf2e9bc04b787d959 + .quad 0x6beba1249add7f64 + + // 2^148 * 8 * G + + .quad 0x1d06005ca5b1b143 + .quad 0x6d4c6bb87fd1cda2 + .quad 0x6ef5967653fcffe7 + .quad 0x097c29e8c1ce1ea5 + .quad 0x5c3cecb943f5a53b + .quad 0x9cc9a61d06c08df2 + .quad 0xcfba639a85895447 + .quad 0x5a845ae80df09fd5 + .quad 0x4ce97dbe5deb94ca + .quad 0x38d0a4388c709c48 + .quad 0xc43eced4a169d097 + .quad 0x0a1249fff7e587c3 + + // 2^152 * 1 * G + + .quad 0x12f0071b276d01c9 + .quad 0xe7b8bac586c48c70 + .quad 0x5308129b71d6fba9 + .quad 0x5d88fbf95a3db792 + .quad 0x0b408d9e7354b610 + .quad 0x806b32535ba85b6e + .quad 0xdbe63a034a58a207 + .quad 0x173bd9ddc9a1df2c + .quad 0x2b500f1efe5872df + .quad 0x58d6582ed43918c1 + .quad 0xe6ed278ec9673ae0 + .quad 0x06e1cd13b19ea319 + + // 2^152 * 2 * G + + .quad 0x40d0ad516f166f23 + .quad 0x118e32931fab6abe + .quad 0x3fe35e14a04d088e + .quad 0x3080603526e16266 + .quad 0x472baf629e5b0353 + .quad 0x3baa0b90278d0447 + .quad 0x0c785f469643bf27 + .quad 0x7f3a6a1a8d837b13 + .quad 0xf7e644395d3d800b + .quad 0x95a8d555c901edf6 + .quad 0x68cd7830592c6339 + .quad 0x30d0fded2e51307e + + // 2^152 * 3 * G + + .quad 0xe0594d1af21233b3 + .quad 0x1bdbe78ef0cc4d9c + .quad 0x6965187f8f499a77 + .quad 0x0a9214202c099868 + .quad 0x9cb4971e68b84750 + .quad 0xa09572296664bbcf + .quad 0x5c8de72672fa412b + .quad 0x4615084351c589d9 + .quad 0xbc9019c0aeb9a02e + .quad 0x55c7110d16034cae + .quad 0x0e6df501659932ec + .quad 0x3bca0d2895ca5dfe + + // 2^152 * 4 * G + + .quad 0x40f031bc3c5d62a4 + .quad 0x19fc8b3ecff07a60 + .quad 0x98183da2130fb545 + .quad 0x5631deddae8f13cd + .quad 0x9c688eb69ecc01bf + .quad 0xf0bc83ada644896f + .quad 0xca2d955f5f7a9fe2 + .quad 0x4ea8b4038df28241 + .quad 0x2aed460af1cad202 + .quad 0x46305305a48cee83 + .quad 0x9121774549f11a5f + .quad 0x24ce0930542ca463 + + // 2^152 * 5 * G + + .quad 0x1fe890f5fd06c106 + .quad 0xb5c468355d8810f2 + .quad 0x827808fe6e8caf3e + .quad 0x41d4e3c28a06d74b + .quad 0x3fcfa155fdf30b85 + .quad 0xd2f7168e36372ea4 + .quad 0xb2e064de6492f844 + .quad 0x549928a7324f4280 + .quad 0xf26e32a763ee1a2e + .quad 0xae91e4b7d25ffdea + .quad 0xbc3bd33bd17f4d69 + .quad 0x491b66dec0dcff6a + + // 2^152 * 6 * G + + .quad 0x98f5b13dc7ea32a7 + .quad 0xe3d5f8cc7e16db98 + .quad 0xac0abf52cbf8d947 + .quad 0x08f338d0c85ee4ac + .quad 0x75f04a8ed0da64a1 + .quad 0xed222caf67e2284b + .quad 0x8234a3791f7b7ba4 + .quad 0x4cf6b8b0b7018b67 + .quad 0xc383a821991a73bd + .quad 0xab27bc01df320c7a + .quad 0xc13d331b84777063 + .quad 0x530d4a82eb078a99 + + // 2^152 * 7 * G + + .quad 0x004c3630e1f94825 + .quad 0x7e2d78268cab535a + .quad 0xc7482323cc84ff8b + .quad 0x65ea753f101770b9 + .quad 0x6d6973456c9abf9e + .quad 0x257fb2fc4900a880 + .quad 0x2bacf412c8cfb850 + .quad 0x0db3e7e00cbfbd5b + .quad 0x3d66fc3ee2096363 + .quad 0x81d62c7f61b5cb6b + .quad 0x0fbe044213443b1a + .quad 0x02a4ec1921e1a1db + + // 2^152 * 8 * G + + .quad 0x5ce6259a3b24b8a2 + .quad 0xb8577acc45afa0b8 + .quad 0xcccbe6e88ba07037 + .quad 0x3d143c51127809bf + .quad 0xf5c86162f1cf795f + .quad 0x118c861926ee57f2 + .quad 0x172124851c063578 + .quad 0x36d12b5dec067fcf + .quad 0x126d279179154557 + .quad 0xd5e48f5cfc783a0a + .quad 0x36bdb6e8df179bac + .quad 0x2ef517885ba82859 + + // 2^156 * 1 * G + + .quad 0x88bd438cd11e0d4a + .quad 0x30cb610d43ccf308 + .quad 0xe09a0e3791937bcc + .quad 0x4559135b25b1720c + .quad 0x1ea436837c6da1e9 + .quad 0xf9c189af1fb9bdbe + .quad 0x303001fcce5dd155 + .quad 0x28a7c99ebc57be52 + .quad 0xb8fd9399e8d19e9d + .quad 0x908191cb962423ff + .quad 0xb2b948d747c742a3 + .quad 0x37f33226d7fb44c4 + + // 2^156 * 2 * G + + .quad 0x0dae8767b55f6e08 + .quad 0x4a43b3b35b203a02 + .quad 0xe3725a6e80af8c79 + .quad 0x0f7a7fd1705fa7a3 + .quad 0x33912553c821b11d + .quad 0x66ed42c241e301df + .quad 0x066fcc11104222fd + .quad 0x307a3b41c192168f + .quad 0x8eeb5d076eb55ce0 + .quad 0x2fc536bfaa0d925a + .quad 0xbe81830fdcb6c6e8 + .quad 0x556c7045827baf52 + + // 2^156 * 3 * G + + .quad 0x8e2b517302e9d8b7 + .quad 0xe3e52269248714e8 + .quad 0xbd4fbd774ca960b5 + .quad 0x6f4b4199c5ecada9 + .quad 0xb94b90022bf44406 + .quad 0xabd4237eff90b534 + .quad 0x7600a960faf86d3a + .quad 0x2f45abdac2322ee3 + .quad 0x61af4912c8ef8a6a + .quad 0xe58fa4fe43fb6e5e + .quad 0xb5afcc5d6fd427cf + .quad 0x6a5393281e1e11eb + + // 2^156 * 4 * G + + .quad 0xf3da5139a5d1ee89 + .quad 0x8145457cff936988 + .quad 0x3f622fed00e188c4 + .quad 0x0f513815db8b5a3d + .quad 0x0fff04fe149443cf + .quad 0x53cac6d9865cddd7 + .quad 0x31385b03531ed1b7 + .quad 0x5846a27cacd1039d + .quad 0x4ff5cdac1eb08717 + .quad 0x67e8b29590f2e9bc + .quad 0x44093b5e237afa99 + .quad 0x0d414bed8708b8b2 + + // 2^156 * 5 * G + + .quad 0xcfb68265fd0e75f6 + .quad 0xe45b3e28bb90e707 + .quad 0x7242a8de9ff92c7a + .quad 0x685b3201933202dd + .quad 0x81886a92294ac9e8 + .quad 0x23162b45d55547be + .quad 0x94cfbc4403715983 + .quad 0x50eb8fdb134bc401 + .quad 0xc0b73ec6d6b330cd + .quad 0x84e44807132faff1 + .quad 0x732b7352c4a5dee1 + .quad 0x5d7c7cf1aa7cd2d2 + + // 2^156 * 6 * G + + .quad 0xaf3b46bf7a4aafa2 + .quad 0xb78705ec4d40d411 + .quad 0x114f0c6aca7c15e3 + .quad 0x3f364faaa9489d4d + .quad 0x33d1013e9b73a562 + .quad 0x925cef5748ec26e1 + .quad 0xa7fce614dd468058 + .quad 0x78b0fad41e9aa438 + .quad 0xbf56a431ed05b488 + .quad 0xa533e66c9c495c7e + .quad 0xe8652baf87f3651a + .quad 0x0241800059d66c33 + + // 2^156 * 7 * G + + .quad 0xceb077fea37a5be4 + .quad 0xdb642f02e5a5eeb7 + .quad 0xc2e6d0c5471270b8 + .quad 0x4771b65538e4529c + .quad 0x28350c7dcf38ea01 + .quad 0x7c6cdbc0b2917ab6 + .quad 0xace7cfbe857082f7 + .quad 0x4d2845aba2d9a1e0 + .quad 0xbb537fe0447070de + .quad 0xcba744436dd557df + .quad 0xd3b5a3473600dbcb + .quad 0x4aeabbe6f9ffd7f8 + + // 2^156 * 8 * G + + .quad 0x4630119e40d8f78c + .quad 0xa01a9bc53c710e11 + .quad 0x486d2b258910dd79 + .quad 0x1e6c47b3db0324e5 + .quad 0x6a2134bcc4a9c8f2 + .quad 0xfbf8fd1c8ace2e37 + .quad 0x000ae3049911a0ba + .quad 0x046e3a616bc89b9e + .quad 0x14e65442f03906be + .quad 0x4a019d54e362be2a + .quad 0x68ccdfec8dc230c7 + .quad 0x7cfb7e3faf6b861c + + // 2^160 * 1 * G + + .quad 0x4637974e8c58aedc + .quad 0xb9ef22fbabf041a4 + .quad 0xe185d956e980718a + .quad 0x2f1b78fab143a8a6 + .quad 0x96eebffb305b2f51 + .quad 0xd3f938ad889596b8 + .quad 0xf0f52dc746d5dd25 + .quad 0x57968290bb3a0095 + .quad 0xf71ab8430a20e101 + .quad 0xf393658d24f0ec47 + .quad 0xcf7509a86ee2eed1 + .quad 0x7dc43e35dc2aa3e1 + + // 2^160 * 2 * G + + .quad 0x85966665887dd9c3 + .quad 0xc90f9b314bb05355 + .quad 0xc6e08df8ef2079b1 + .quad 0x7ef72016758cc12f + .quad 0x5a782a5c273e9718 + .quad 0x3576c6995e4efd94 + .quad 0x0f2ed8051f237d3e + .quad 0x044fb81d82d50a99 + .quad 0xc1df18c5a907e3d9 + .quad 0x57b3371dce4c6359 + .quad 0xca704534b201bb49 + .quad 0x7f79823f9c30dd2e + + // 2^160 * 3 * G + + .quad 0x8334d239a3b513e8 + .quad 0xc13670d4b91fa8d8 + .quad 0x12b54136f590bd33 + .quad 0x0a4e0373d784d9b4 + .quad 0x6a9c1ff068f587ba + .quad 0x0827894e0050c8de + .quad 0x3cbf99557ded5be7 + .quad 0x64a9b0431c06d6f0 + .quad 0x2eb3d6a15b7d2919 + .quad 0xb0b4f6a0d53a8235 + .quad 0x7156ce4389a45d47 + .quad 0x071a7d0ace18346c + + // 2^160 * 4 * G + + .quad 0xd3072daac887ba0b + .quad 0x01262905bfa562ee + .quad 0xcf543002c0ef768b + .quad 0x2c3bcc7146ea7e9c + .quad 0xcc0c355220e14431 + .quad 0x0d65950709b15141 + .quad 0x9af5621b209d5f36 + .quad 0x7c69bcf7617755d3 + .quad 0x07f0d7eb04e8295f + .quad 0x10db18252f50f37d + .quad 0xe951a9a3171798d7 + .quad 0x6f5a9a7322aca51d + + // 2^160 * 5 * G + + .quad 0x8ba1000c2f41c6c5 + .quad 0xc49f79c10cfefb9b + .quad 0x4efa47703cc51c9f + .quad 0x494e21a2e147afca + .quad 0xe729d4eba3d944be + .quad 0x8d9e09408078af9e + .quad 0x4525567a47869c03 + .quad 0x02ab9680ee8d3b24 + .quad 0xefa48a85dde50d9a + .quad 0x219a224e0fb9a249 + .quad 0xfa091f1dd91ef6d9 + .quad 0x6b5d76cbea46bb34 + + // 2^160 * 6 * G + + .quad 0x8857556cec0cd994 + .quad 0x6472dc6f5cd01dba + .quad 0xaf0169148f42b477 + .quad 0x0ae333f685277354 + .quad 0xe0f941171e782522 + .quad 0xf1e6ae74036936d3 + .quad 0x408b3ea2d0fcc746 + .quad 0x16fb869c03dd313e + .quad 0x288e199733b60962 + .quad 0x24fc72b4d8abe133 + .quad 0x4811f7ed0991d03e + .quad 0x3f81e38b8f70d075 + + // 2^160 * 7 * G + + .quad 0x7f910fcc7ed9affe + .quad 0x545cb8a12465874b + .quad 0xa8397ed24b0c4704 + .quad 0x50510fc104f50993 + .quad 0x0adb7f355f17c824 + .quad 0x74b923c3d74299a4 + .quad 0xd57c3e8bcbf8eaf7 + .quad 0x0ad3e2d34cdedc3d + .quad 0x6f0c0fc5336e249d + .quad 0x745ede19c331cfd9 + .quad 0xf2d6fd0009eefe1c + .quad 0x127c158bf0fa1ebe + + // 2^160 * 8 * G + + .quad 0xf6197c422e9879a2 + .quad 0xa44addd452ca3647 + .quad 0x9b413fc14b4eaccb + .quad 0x354ef87d07ef4f68 + .quad 0xdea28fc4ae51b974 + .quad 0x1d9973d3744dfe96 + .quad 0x6240680b873848a8 + .quad 0x4ed82479d167df95 + .quad 0xfee3b52260c5d975 + .quad 0x50352efceb41b0b8 + .quad 0x8808ac30a9f6653c + .quad 0x302d92d20539236d + + // 2^164 * 1 * G + + .quad 0x4c59023fcb3efb7c + .quad 0x6c2fcb99c63c2a94 + .quad 0xba4190e2c3c7e084 + .quad 0x0e545daea51874d9 + .quad 0x957b8b8b0df53c30 + .quad 0x2a1c770a8e60f098 + .quad 0xbbc7a670345796de + .quad 0x22a48f9a90c99bc9 + .quad 0x6b7dc0dc8d3fac58 + .quad 0x5497cd6ce6e42bfd + .quad 0x542f7d1bf400d305 + .quad 0x4159f47f048d9136 + + // 2^164 * 2 * G + + .quad 0x20ad660839e31e32 + .quad 0xf81e1bd58405be50 + .quad 0xf8064056f4dabc69 + .quad 0x14d23dd4ce71b975 + .quad 0x748515a8bbd24839 + .quad 0x77128347afb02b55 + .quad 0x50ba2ac649a2a17f + .quad 0x060525513ad730f1 + .quad 0xf2398e098aa27f82 + .quad 0x6d7982bb89a1b024 + .quad 0xfa694084214dd24c + .quad 0x71ab966fa32301c3 + + // 2^164 * 3 * G + + .quad 0x2dcbd8e34ded02fc + .quad 0x1151f3ec596f22aa + .quad 0xbca255434e0328da + .quad 0x35768fbe92411b22 + .quad 0xb1088a0702809955 + .quad 0x43b273ea0b43c391 + .quad 0xca9b67aefe0686ed + .quad 0x605eecbf8335f4ed + .quad 0x83200a656c340431 + .quad 0x9fcd71678ee59c2f + .quad 0x75d4613f71300f8a + .quad 0x7a912faf60f542f9 + + // 2^164 * 4 * G + + .quad 0xb204585e5edc1a43 + .quad 0x9f0e16ee5897c73c + .quad 0x5b82c0ae4e70483c + .quad 0x624a170e2bddf9be + .quad 0x253f4f8dfa2d5597 + .quad 0x25e49c405477130c + .quad 0x00c052e5996b1102 + .quad 0x33cb966e33bb6c4a + .quad 0x597028047f116909 + .quad 0x828ac41c1e564467 + .quad 0x70417dbde6217387 + .quad 0x721627aefbac4384 + + // 2^164 * 5 * G + + .quad 0x97d03bc38736add5 + .quad 0x2f1422afc532b130 + .quad 0x3aa68a057101bbc4 + .quad 0x4c946cf7e74f9fa7 + .quad 0xfd3097bc410b2f22 + .quad 0xf1a05da7b5cfa844 + .quad 0x61289a1def57ca74 + .quad 0x245ea199bb821902 + .quad 0xaedca66978d477f8 + .quad 0x1898ba3c29117fe1 + .quad 0xcf73f983720cbd58 + .quad 0x67da12e6b8b56351 + + // 2^164 * 6 * G + + .quad 0x7067e187b4bd6e07 + .quad 0x6e8f0203c7d1fe74 + .quad 0x93c6aa2f38c85a30 + .quad 0x76297d1f3d75a78a + .quad 0x2b7ef3d38ec8308c + .quad 0x828fd7ec71eb94ab + .quad 0x807c3b36c5062abd + .quad 0x0cb64cb831a94141 + .quad 0x3030fc33534c6378 + .quad 0xb9635c5ce541e861 + .quad 0x15d9a9bed9b2c728 + .quad 0x49233ea3f3775dcb + + // 2^164 * 7 * G + + .quad 0x629398fa8dbffc3a + .quad 0xe12fe52dd54db455 + .quad 0xf3be11dfdaf25295 + .quad 0x628b140dce5e7b51 + .quad 0x7b3985fe1c9f249b + .quad 0x4fd6b2d5a1233293 + .quad 0xceb345941adf4d62 + .quad 0x6987ff6f542de50c + .quad 0x47e241428f83753c + .quad 0x6317bebc866af997 + .quad 0xdabb5b433d1a9829 + .quad 0x074d8d245287fb2d + + // 2^164 * 8 * G + + .quad 0x8337d9cd440bfc31 + .quad 0x729d2ca1af318fd7 + .quad 0xa040a4a4772c2070 + .quad 0x46002ef03a7349be + .quad 0x481875c6c0e31488 + .quad 0x219429b2e22034b4 + .quad 0x7223c98a31283b65 + .quad 0x3420d60b342277f9 + .quad 0xfaa23adeaffe65f7 + .quad 0x78261ed45be0764c + .quad 0x441c0a1e2f164403 + .quad 0x5aea8e567a87d395 + + // 2^168 * 1 * G + + .quad 0x7813c1a2bca4283d + .quad 0xed62f091a1863dd9 + .quad 0xaec7bcb8c268fa86 + .quad 0x10e5d3b76f1cae4c + .quad 0x2dbc6fb6e4e0f177 + .quad 0x04e1bf29a4bd6a93 + .quad 0x5e1966d4787af6e8 + .quad 0x0edc5f5eb426d060 + .quad 0x5453bfd653da8e67 + .quad 0xe9dc1eec24a9f641 + .quad 0xbf87263b03578a23 + .quad 0x45b46c51361cba72 + + // 2^168 * 2 * G + + .quad 0xa9402abf314f7fa1 + .quad 0xe257f1dc8e8cf450 + .quad 0x1dbbd54b23a8be84 + .quad 0x2177bfa36dcb713b + .quad 0xce9d4ddd8a7fe3e4 + .quad 0xab13645676620e30 + .quad 0x4b594f7bb30e9958 + .quad 0x5c1c0aef321229df + .quad 0x37081bbcfa79db8f + .quad 0x6048811ec25f59b3 + .quad 0x087a76659c832487 + .quad 0x4ae619387d8ab5bb + + // 2^168 * 3 * G + + .quad 0x8ddbf6aa5344a32e + .quad 0x7d88eab4b41b4078 + .quad 0x5eb0eb974a130d60 + .quad 0x1a00d91b17bf3e03 + .quad 0x61117e44985bfb83 + .quad 0xfce0462a71963136 + .quad 0x83ac3448d425904b + .quad 0x75685abe5ba43d64 + .quad 0x6e960933eb61f2b2 + .quad 0x543d0fa8c9ff4952 + .quad 0xdf7275107af66569 + .quad 0x135529b623b0e6aa + + // 2^168 * 4 * G + + .quad 0x18f0dbd7add1d518 + .quad 0x979f7888cfc11f11 + .quad 0x8732e1f07114759b + .quad 0x79b5b81a65ca3a01 + .quad 0xf5c716bce22e83fe + .quad 0xb42beb19e80985c1 + .quad 0xec9da63714254aae + .quad 0x5972ea051590a613 + .quad 0x0fd4ac20dc8f7811 + .quad 0x9a9ad294ac4d4fa8 + .quad 0xc01b2d64b3360434 + .quad 0x4f7e9c95905f3bdb + + // 2^168 * 5 * G + + .quad 0x62674bbc5781302e + .quad 0xd8520f3989addc0f + .quad 0x8c2999ae53fbd9c6 + .quad 0x31993ad92e638e4c + .quad 0x71c8443d355299fe + .quad 0x8bcd3b1cdbebead7 + .quad 0x8092499ef1a49466 + .quad 0x1942eec4a144adc8 + .quad 0x7dac5319ae234992 + .quad 0x2c1b3d910cea3e92 + .quad 0x553ce494253c1122 + .quad 0x2a0a65314ef9ca75 + + // 2^168 * 6 * G + + .quad 0x2db7937ff7f927c2 + .quad 0xdb741f0617d0a635 + .quad 0x5982f3a21155af76 + .quad 0x4cf6e218647c2ded + .quad 0xcf361acd3c1c793a + .quad 0x2f9ebcac5a35bc3b + .quad 0x60e860e9a8cda6ab + .quad 0x055dc39b6dea1a13 + .quad 0xb119227cc28d5bb6 + .quad 0x07e24ebc774dffab + .quad 0xa83c78cee4a32c89 + .quad 0x121a307710aa24b6 + + // 2^168 * 7 * G + + .quad 0xe4db5d5e9f034a97 + .quad 0xe153fc093034bc2d + .quad 0x460546919551d3b1 + .quad 0x333fc76c7a40e52d + .quad 0xd659713ec77483c9 + .quad 0x88bfe077b82b96af + .quad 0x289e28231097bcd3 + .quad 0x527bb94a6ced3a9b + .quad 0x563d992a995b482e + .quad 0x3405d07c6e383801 + .quad 0x485035de2f64d8e5 + .quad 0x6b89069b20a7a9f7 + + // 2^168 * 8 * G + + .quad 0x812aa0416270220d + .quad 0x995a89faf9245b4e + .quad 0xffadc4ce5072ef05 + .quad 0x23bc2103aa73eb73 + .quad 0x4082fa8cb5c7db77 + .quad 0x068686f8c734c155 + .quad 0x29e6c8d9f6e7a57e + .quad 0x0473d308a7639bcf + .quad 0xcaee792603589e05 + .quad 0x2b4b421246dcc492 + .quad 0x02a1ef74e601a94f + .quad 0x102f73bfde04341a + + // 2^172 * 1 * G + + .quad 0xb5a2d50c7ec20d3e + .quad 0xc64bdd6ea0c97263 + .quad 0x56e89052c1ff734d + .quad 0x4929c6f72b2ffaba + .quad 0x358ecba293a36247 + .quad 0xaf8f9862b268fd65 + .quad 0x412f7e9968a01c89 + .quad 0x5786f312cd754524 + .quad 0x337788ffca14032c + .quad 0xf3921028447f1ee3 + .quad 0x8b14071f231bccad + .quad 0x4c817b4bf2344783 + + // 2^172 * 2 * G + + .quad 0x0ff853852871b96e + .quad 0xe13e9fab60c3f1bb + .quad 0xeefd595325344402 + .quad 0x0a37c37075b7744b + .quad 0x413ba057a40b4484 + .quad 0xba4c2e1a4f5f6a43 + .quad 0x614ba0a5aee1d61c + .quad 0x78a1531a8b05dc53 + .quad 0x6cbdf1703ad0562b + .quad 0x8ecf4830c92521a3 + .quad 0xdaebd303fd8424e7 + .quad 0x72ad82a42e5ec56f + + // 2^172 * 3 * G + + .quad 0x3f9e8e35bafb65f6 + .quad 0x39d69ec8f27293a1 + .quad 0x6cb8cd958cf6a3d0 + .quad 0x1734778173adae6d + .quad 0xc368939167024bc3 + .quad 0x8e69d16d49502fda + .quad 0xfcf2ec3ce45f4b29 + .quad 0x065f669ea3b4cbc4 + .quad 0x8a00aec75532db4d + .quad 0xb869a4e443e31bb1 + .quad 0x4a0f8552d3a7f515 + .quad 0x19adeb7c303d7c08 + + // 2^172 * 4 * G + + .quad 0xc720cb6153ead9a3 + .quad 0x55b2c97f512b636e + .quad 0xb1e35b5fd40290b1 + .quad 0x2fd9ccf13b530ee2 + .quad 0x9d05ba7d43c31794 + .quad 0x2470c8ff93322526 + .quad 0x8323dec816197438 + .quad 0x2852709881569b53 + .quad 0x07bd475b47f796b8 + .quad 0xd2c7b013542c8f54 + .quad 0x2dbd23f43b24f87e + .quad 0x6551afd77b0901d6 + + // 2^172 * 5 * G + + .quad 0x4546baaf54aac27f + .quad 0xf6f66fecb2a45a28 + .quad 0x582d1b5b562bcfe8 + .quad 0x44b123f3920f785f + .quad 0x68a24ce3a1d5c9ac + .quad 0xbb77a33d10ff6461 + .quad 0x0f86ce4425d3166e + .quad 0x56507c0950b9623b + .quad 0x1206f0b7d1713e63 + .quad 0x353fe3d915bafc74 + .quad 0x194ceb970ad9d94d + .quad 0x62fadd7cf9d03ad3 + + // 2^172 * 6 * G + + .quad 0xc6b5967b5598a074 + .quad 0x5efe91ce8e493e25 + .quad 0xd4b72c4549280888 + .quad 0x20ef1149a26740c2 + .quad 0x3cd7bc61e7ce4594 + .quad 0xcd6b35a9b7dd267e + .quad 0xa080abc84366ef27 + .quad 0x6ec7c46f59c79711 + .quad 0x2f07ad636f09a8a2 + .quad 0x8697e6ce24205e7d + .quad 0xc0aefc05ee35a139 + .quad 0x15e80958b5f9d897 + + // 2^172 * 7 * G + + .quad 0x25a5ef7d0c3e235b + .quad 0x6c39c17fbe134ee7 + .quad 0xc774e1342dc5c327 + .quad 0x021354b892021f39 + .quad 0x4dd1ed355bb061c4 + .quad 0x42dc0cef941c0700 + .quad 0x61305dc1fd86340e + .quad 0x56b2cc930e55a443 + .quad 0x1df79da6a6bfc5a2 + .quad 0x02f3a2749fde4369 + .quad 0xb323d9f2cda390a7 + .quad 0x7be0847b8774d363 + + // 2^172 * 8 * G + + .quad 0x8c99cc5a8b3f55c3 + .quad 0x0611d7253fded2a0 + .quad 0xed2995ff36b70a36 + .quad 0x1f699a54d78a2619 + .quad 0x1466f5af5307fa11 + .quad 0x817fcc7ded6c0af2 + .quad 0x0a6de44ec3a4a3fb + .quad 0x74071475bc927d0b + .quad 0xe77292f373e7ea8a + .quad 0x296537d2cb045a31 + .quad 0x1bd0653ed3274fde + .quad 0x2f9a2c4476bd2966 + + // 2^176 * 1 * G + + .quad 0xeb18b9ab7f5745c6 + .quad 0x023a8aee5787c690 + .quad 0xb72712da2df7afa9 + .quad 0x36597d25ea5c013d + .quad 0xa2b4dae0b5511c9a + .quad 0x7ac860292bffff06 + .quad 0x981f375df5504234 + .quad 0x3f6bd725da4ea12d + .quad 0x734d8d7b106058ac + .quad 0xd940579e6fc6905f + .quad 0x6466f8f99202932d + .quad 0x7b7ecc19da60d6d0 + + // 2^176 * 2 * G + + .quad 0x78c2373c695c690d + .quad 0xdd252e660642906e + .quad 0x951d44444ae12bd2 + .quad 0x4235ad7601743956 + .quad 0x6dae4a51a77cfa9b + .quad 0x82263654e7a38650 + .quad 0x09bbffcd8f2d82db + .quad 0x03bedc661bf5caba + .quad 0x6258cb0d078975f5 + .quad 0x492942549189f298 + .quad 0xa0cab423e2e36ee4 + .quad 0x0e7ce2b0cdf066a1 + + // 2^176 * 3 * G + + .quad 0xc494643ac48c85a3 + .quad 0xfd361df43c6139ad + .quad 0x09db17dd3ae94d48 + .quad 0x666e0a5d8fb4674a + .quad 0xfea6fedfd94b70f9 + .quad 0xf130c051c1fcba2d + .quad 0x4882d47e7f2fab89 + .quad 0x615256138aeceeb5 + .quad 0x2abbf64e4870cb0d + .quad 0xcd65bcf0aa458b6b + .quad 0x9abe4eba75e8985d + .quad 0x7f0bc810d514dee4 + + // 2^176 * 4 * G + + .quad 0xb9006ba426f4136f + .quad 0x8d67369e57e03035 + .quad 0xcbc8dfd94f463c28 + .quad 0x0d1f8dbcf8eedbf5 + .quad 0x83ac9dad737213a0 + .quad 0x9ff6f8ba2ef72e98 + .quad 0x311e2edd43ec6957 + .quad 0x1d3a907ddec5ab75 + .quad 0xba1693313ed081dc + .quad 0x29329fad851b3480 + .quad 0x0128013c030321cb + .quad 0x00011b44a31bfde3 + + // 2^176 * 5 * G + + .quad 0x3fdfa06c3fc66c0c + .quad 0x5d40e38e4dd60dd2 + .quad 0x7ae38b38268e4d71 + .quad 0x3ac48d916e8357e1 + .quad 0x16561f696a0aa75c + .quad 0xc1bf725c5852bd6a + .quad 0x11a8dd7f9a7966ad + .quad 0x63d988a2d2851026 + .quad 0x00120753afbd232e + .quad 0xe92bceb8fdd8f683 + .quad 0xf81669b384e72b91 + .quad 0x33fad52b2368a066 + + // 2^176 * 6 * G + + .quad 0x540649c6c5e41e16 + .quad 0x0af86430333f7735 + .quad 0xb2acfcd2f305e746 + .quad 0x16c0f429a256dca7 + .quad 0x8d2cc8d0c422cfe8 + .quad 0x072b4f7b05a13acb + .quad 0xa3feb6e6ecf6a56f + .quad 0x3cc355ccb90a71e2 + .quad 0xe9b69443903e9131 + .quad 0xb8a494cb7a5637ce + .quad 0xc87cd1a4baba9244 + .quad 0x631eaf426bae7568 + + // 2^176 * 7 * G + + .quad 0xb3e90410da66fe9f + .quad 0x85dd4b526c16e5a6 + .quad 0xbc3d97611ef9bf83 + .quad 0x5599648b1ea919b5 + .quad 0x47d975b9a3700de8 + .quad 0x7280c5fbe2f80552 + .quad 0x53658f2732e45de1 + .quad 0x431f2c7f665f80b5 + .quad 0xd6026344858f7b19 + .quad 0x14ab352fa1ea514a + .quad 0x8900441a2090a9d7 + .quad 0x7b04715f91253b26 + + // 2^176 * 8 * G + + .quad 0x83edbd28acf6ae43 + .quad 0x86357c8b7d5c7ab4 + .quad 0xc0404769b7eb2c44 + .quad 0x59b37bf5c2f6583f + .quad 0xb376c280c4e6bac6 + .quad 0x970ed3dd6d1d9b0b + .quad 0xb09a9558450bf944 + .quad 0x48d0acfa57cde223 + .quad 0xb60f26e47dabe671 + .quad 0xf1d1a197622f3a37 + .quad 0x4208ce7ee9960394 + .quad 0x16234191336d3bdb + + // 2^180 * 1 * G + + .quad 0xf19aeac733a63aef + .quad 0x2c7fba5d4442454e + .quad 0x5da87aa04795e441 + .quad 0x413051e1a4e0b0f5 + .quad 0x852dd1fd3d578bbe + .quad 0x2b65ce72c3286108 + .quad 0x658c07f4eace2273 + .quad 0x0933f804ec38ab40 + .quad 0xa7ab69798d496476 + .quad 0x8121aadefcb5abc8 + .quad 0xa5dc12ef7b539472 + .quad 0x07fd47065e45351a + + // 2^180 * 2 * G + + .quad 0xc8583c3d258d2bcd + .quad 0x17029a4daf60b73f + .quad 0xfa0fc9d6416a3781 + .quad 0x1c1e5fba38b3fb23 + .quad 0x304211559ae8e7c3 + .quad 0xf281b229944882a5 + .quad 0x8a13ac2e378250e4 + .quad 0x014afa0954ba48f4 + .quad 0xcb3197001bb3666c + .quad 0x330060524bffecb9 + .quad 0x293711991a88233c + .quad 0x291884363d4ed364 + + // 2^180 * 3 * G + + .quad 0x033c6805dc4babfa + .quad 0x2c15bf5e5596ecc1 + .quad 0x1bc70624b59b1d3b + .quad 0x3ede9850a19f0ec5 + .quad 0xfb9d37c3bc1ab6eb + .quad 0x02be14534d57a240 + .quad 0xf4d73415f8a5e1f6 + .quad 0x5964f4300ccc8188 + .quad 0xe44a23152d096800 + .quad 0x5c08c55970866996 + .quad 0xdf2db60a46affb6e + .quad 0x579155c1f856fd89 + + // 2^180 * 4 * G + + .quad 0x96324edd12e0c9ef + .quad 0x468b878df2420297 + .quad 0x199a3776a4f573be + .quad 0x1e7fbcf18e91e92a + .quad 0xb5f16b630817e7a6 + .quad 0x808c69233c351026 + .quad 0x324a983b54cef201 + .quad 0x53c092084a485345 + .quad 0xd2d41481f1cbafbf + .quad 0x231d2db6716174e5 + .quad 0x0b7d7656e2a55c98 + .quad 0x3e955cd82aa495f6 + + // 2^180 * 5 * G + + .quad 0xe48f535e3ed15433 + .quad 0xd075692a0d7270a3 + .quad 0x40fbd21daade6387 + .quad 0x14264887cf4495f5 + .quad 0xab39f3ef61bb3a3f + .quad 0x8eb400652eb9193e + .quad 0xb5de6ecc38c11f74 + .quad 0x654d7e9626f3c49f + .quad 0xe564cfdd5c7d2ceb + .quad 0x82eeafded737ccb9 + .quad 0x6107db62d1f9b0ab + .quad 0x0b6baac3b4358dbb + + // 2^180 * 6 * G + + .quad 0x7ae62bcb8622fe98 + .quad 0x47762256ceb891af + .quad 0x1a5a92bcf2e406b4 + .quad 0x7d29401784e41501 + .quad 0x204abad63700a93b + .quad 0xbe0023d3da779373 + .quad 0xd85f0346633ab709 + .quad 0x00496dc490820412 + .quad 0x1c74b88dc27e6360 + .quad 0x074854268d14850c + .quad 0xa145fb7b3e0dcb30 + .quad 0x10843f1b43803b23 + + // 2^180 * 7 * G + + .quad 0xc5f90455376276dd + .quad 0xce59158dd7645cd9 + .quad 0x92f65d511d366b39 + .quad 0x11574b6e526996c4 + .quad 0xd56f672de324689b + .quad 0xd1da8aedb394a981 + .quad 0xdd7b58fe9168cfed + .quad 0x7ce246cd4d56c1e8 + .quad 0xb8f4308e7f80be53 + .quad 0x5f3cb8cb34a9d397 + .quad 0x18a961bd33cc2b2c + .quad 0x710045fb3a9af671 + + // 2^180 * 8 * G + + .quad 0x73f93d36101b95eb + .quad 0xfaef33794f6f4486 + .quad 0x5651735f8f15e562 + .quad 0x7fa3f19058b40da1 + .quad 0xa03fc862059d699e + .quad 0x2370cfa19a619e69 + .quad 0xc4fe3b122f823deb + .quad 0x1d1b056fa7f0844e + .quad 0x1bc64631e56bf61f + .quad 0xd379ab106e5382a3 + .quad 0x4d58c57e0540168d + .quad 0x566256628442d8e4 + + // 2^184 * 1 * G + + .quad 0xb9e499def6267ff6 + .quad 0x7772ca7b742c0843 + .quad 0x23a0153fe9a4f2b1 + .quad 0x2cdfdfecd5d05006 + .quad 0xdd499cd61ff38640 + .quad 0x29cd9bc3063625a0 + .quad 0x51e2d8023dd73dc3 + .quad 0x4a25707a203b9231 + .quad 0x2ab7668a53f6ed6a + .quad 0x304242581dd170a1 + .quad 0x4000144c3ae20161 + .quad 0x5721896d248e49fc + + // 2^184 * 2 * G + + .quad 0x0b6e5517fd181bae + .quad 0x9022629f2bb963b4 + .quad 0x5509bce932064625 + .quad 0x578edd74f63c13da + .quad 0x285d5091a1d0da4e + .quad 0x4baa6fa7b5fe3e08 + .quad 0x63e5177ce19393b3 + .quad 0x03c935afc4b030fd + .quad 0x997276c6492b0c3d + .quad 0x47ccc2c4dfe205fc + .quad 0xdcd29b84dd623a3c + .quad 0x3ec2ab590288c7a2 + + // 2^184 * 3 * G + + .quad 0xa1a0d27be4d87bb9 + .quad 0xa98b4deb61391aed + .quad 0x99a0ddd073cb9b83 + .quad 0x2dd5c25a200fcace + .quad 0xa7213a09ae32d1cb + .quad 0x0f2b87df40f5c2d5 + .quad 0x0baea4c6e81eab29 + .quad 0x0e1bf66c6adbac5e + .quad 0xe2abd5e9792c887e + .quad 0x1a020018cb926d5d + .quad 0xbfba69cdbaae5f1e + .quad 0x730548b35ae88f5f + + // 2^184 * 4 * G + + .quad 0xc43551a3cba8b8ee + .quad 0x65a26f1db2115f16 + .quad 0x760f4f52ab8c3850 + .quad 0x3043443b411db8ca + .quad 0x805b094ba1d6e334 + .quad 0xbf3ef17709353f19 + .quad 0x423f06cb0622702b + .quad 0x585a2277d87845dd + .quad 0xa18a5f8233d48962 + .quad 0x6698c4b5ec78257f + .quad 0xa78e6fa5373e41ff + .quad 0x7656278950ef981f + + // 2^184 * 5 * G + + .quad 0x38c3cf59d51fc8c0 + .quad 0x9bedd2fd0506b6f2 + .quad 0x26bf109fab570e8f + .quad 0x3f4160a8c1b846a6 + .quad 0xe17073a3ea86cf9d + .quad 0x3a8cfbb707155fdc + .quad 0x4853e7fc31838a8e + .quad 0x28bbf484b613f616 + .quad 0xf2612f5c6f136c7c + .quad 0xafead107f6dd11be + .quad 0x527e9ad213de6f33 + .quad 0x1e79cb358188f75d + + // 2^184 * 6 * G + + .quad 0x013436c3eef7e3f1 + .quad 0x828b6a7ffe9e10f8 + .quad 0x7ff908e5bcf9defc + .quad 0x65d7951b3a3b3831 + .quad 0x77e953d8f5e08181 + .quad 0x84a50c44299dded9 + .quad 0xdc6c2d0c864525e5 + .quad 0x478ab52d39d1f2f4 + .quad 0x66a6a4d39252d159 + .quad 0xe5dde1bc871ac807 + .quad 0xb82c6b40a6c1c96f + .quad 0x16d87a411a212214 + + // 2^184 * 7 * G + + .quad 0xb3bd7e5a42066215 + .quad 0x879be3cd0c5a24c1 + .quad 0x57c05db1d6f994b7 + .quad 0x28f87c8165f38ca6 + .quad 0xfba4d5e2d54e0583 + .quad 0xe21fafd72ebd99fa + .quad 0x497ac2736ee9778f + .quad 0x1f990b577a5a6dde + .quad 0xa3344ead1be8f7d6 + .quad 0x7d1e50ebacea798f + .quad 0x77c6569e520de052 + .quad 0x45882fe1534d6d3e + + // 2^184 * 8 * G + + .quad 0x6669345d757983d6 + .quad 0x62b6ed1117aa11a6 + .quad 0x7ddd1857985e128f + .quad 0x688fe5b8f626f6dd + .quad 0xd8ac9929943c6fe4 + .quad 0xb5f9f161a38392a2 + .quad 0x2699db13bec89af3 + .quad 0x7dcf843ce405f074 + .quad 0x6c90d6484a4732c0 + .quad 0xd52143fdca563299 + .quad 0xb3be28c3915dc6e1 + .quad 0x6739687e7327191b + + // 2^188 * 1 * G + + .quad 0x9f65c5ea200814cf + .quad 0x840536e169a31740 + .quad 0x8b0ed13925c8b4ad + .quad 0x0080dbafe936361d + .quad 0x8ce5aad0c9cb971f + .quad 0x1156aaa99fd54a29 + .quad 0x41f7247015af9b78 + .quad 0x1fe8cca8420f49aa + .quad 0x72a1848f3c0cc82a + .quad 0x38c560c2877c9e54 + .quad 0x5004e228ce554140 + .quad 0x042418a103429d71 + + // 2^188 * 2 * G + + .quad 0x899dea51abf3ff5f + .quad 0x9b93a8672fc2d8ba + .quad 0x2c38cb97be6ebd5c + .quad 0x114d578497263b5d + .quad 0x58e84c6f20816247 + .quad 0x8db2b2b6e36fd793 + .quad 0x977182561d484d85 + .quad 0x0822024f8632abd7 + .quad 0xb301bb7c6b1beca3 + .quad 0x55393f6dc6eb1375 + .quad 0x910d281097b6e4eb + .quad 0x1ad4548d9d479ea3 + + // 2^188 * 3 * G + + .quad 0xcd5a7da0389a48fd + .quad 0xb38fa4aa9a78371e + .quad 0xc6d9761b2cdb8e6c + .quad 0x35cf51dbc97e1443 + .quad 0xa06fe66d0fe9fed3 + .quad 0xa8733a401c587909 + .quad 0x30d14d800df98953 + .quad 0x41ce5876c7b30258 + .quad 0x59ac3bc5d670c022 + .quad 0xeae67c109b119406 + .quad 0x9798bdf0b3782fda + .quad 0x651e3201fd074092 + + // 2^188 * 4 * G + + .quad 0xd63d8483ef30c5cf + .quad 0x4cd4b4962361cc0c + .quad 0xee90e500a48426ac + .quad 0x0af51d7d18c14eeb + .quad 0xa57ba4a01efcae9e + .quad 0x769f4beedc308a94 + .quad 0xd1f10eeb3603cb2e + .quad 0x4099ce5e7e441278 + .quad 0x1ac98e4f8a5121e9 + .quad 0x7dae9544dbfa2fe0 + .quad 0x8320aa0dd6430df9 + .quad 0x667282652c4a2fb5 + + // 2^188 * 5 * G + + .quad 0x874621f4d86bc9ab + .quad 0xb54c7bbe56fe6fea + .quad 0x077a24257fadc22c + .quad 0x1ab53be419b90d39 + .quad 0xada8b6e02946db23 + .quad 0x1c0ce51a7b253ab7 + .quad 0x8448c85a66dd485b + .quad 0x7f1fc025d0675adf + .quad 0xd8ee1b18319ea6aa + .quad 0x004d88083a21f0da + .quad 0x3bd6aa1d883a4f4b + .quad 0x4db9a3a6dfd9fd14 + + // 2^188 * 6 * G + + .quad 0x8ce7b23bb99c0755 + .quad 0x35c5d6edc4f50f7a + .quad 0x7e1e2ed2ed9b50c3 + .quad 0x36305f16e8934da1 + .quad 0xd95b00bbcbb77c68 + .quad 0xddbc846a91f17849 + .quad 0x7cf700aebe28d9b3 + .quad 0x5ce1285c85d31f3e + .quad 0x31b6972d98b0bde8 + .quad 0x7d920706aca6de5b + .quad 0xe67310f8908a659f + .quad 0x50fac2a6efdf0235 + + // 2^188 * 7 * G + + .quad 0xf3d3a9f35b880f5a + .quad 0xedec050cdb03e7c2 + .quad 0xa896981ff9f0b1a2 + .quad 0x49a4ae2bac5e34a4 + .quad 0x295b1c86f6f449bc + .quad 0x51b2e84a1f0ab4dd + .quad 0xc001cb30aa8e551d + .quad 0x6a28d35944f43662 + .quad 0x28bb12ee04a740e0 + .quad 0x14313bbd9bce8174 + .quad 0x72f5b5e4e8c10c40 + .quad 0x7cbfb19936adcd5b + + // 2^188 * 8 * G + + .quad 0xa311ddc26b89792d + .quad 0x1b30b4c6da512664 + .quad 0x0ca77b4ccf150859 + .quad 0x1de443df1b009408 + .quad 0x8e793a7acc36e6e0 + .quad 0xf9fab7a37d586eed + .quad 0x3a4f9692bae1f4e4 + .quad 0x1c14b03eff5f447e + .quad 0x19647bd114a85291 + .quad 0x57b76cb21034d3af + .quad 0x6329db440f9d6dfa + .quad 0x5ef43e586a571493 + + // 2^192 * 1 * G + + .quad 0xef782014385675a6 + .quad 0xa2649f30aafda9e8 + .quad 0x4cd1eb505cdfa8cb + .quad 0x46115aba1d4dc0b3 + .quad 0xa66dcc9dc80c1ac0 + .quad 0x97a05cf41b38a436 + .quad 0xa7ebf3be95dbd7c6 + .quad 0x7da0b8f68d7e7dab + .quad 0xd40f1953c3b5da76 + .quad 0x1dac6f7321119e9b + .quad 0x03cc6021feb25960 + .quad 0x5a5f887e83674b4b + + // 2^192 * 2 * G + + .quad 0x8f6301cf70a13d11 + .quad 0xcfceb815350dd0c4 + .quad 0xf70297d4a4bca47e + .quad 0x3669b656e44d1434 + .quad 0x9e9628d3a0a643b9 + .quad 0xb5c3cb00e6c32064 + .quad 0x9b5302897c2dec32 + .quad 0x43e37ae2d5d1c70c + .quad 0x387e3f06eda6e133 + .quad 0x67301d5199a13ac0 + .quad 0xbd5ad8f836263811 + .quad 0x6a21e6cd4fd5e9be + + // 2^192 * 3 * G + + .quad 0xf1c6170a3046e65f + .quad 0x58712a2a00d23524 + .quad 0x69dbbd3c8c82b755 + .quad 0x586bf9f1a195ff57 + .quad 0xef4129126699b2e3 + .quad 0x71d30847708d1301 + .quad 0x325432d01182b0bd + .quad 0x45371b07001e8b36 + .quad 0xa6db088d5ef8790b + .quad 0x5278f0dc610937e5 + .quad 0xac0349d261a16eb8 + .quad 0x0eafb03790e52179 + + // 2^192 * 4 * G + + .quad 0x960555c13748042f + .quad 0x219a41e6820baa11 + .quad 0x1c81f73873486d0c + .quad 0x309acc675a02c661 + .quad 0x5140805e0f75ae1d + .quad 0xec02fbe32662cc30 + .quad 0x2cebdf1eea92396d + .quad 0x44ae3344c5435bb3 + .quad 0x9cf289b9bba543ee + .quad 0xf3760e9d5ac97142 + .quad 0x1d82e5c64f9360aa + .quad 0x62d5221b7f94678f + + // 2^192 * 5 * G + + .quad 0x524c299c18d0936d + .quad 0xc86bb56c8a0c1a0c + .quad 0xa375052edb4a8631 + .quad 0x5c0efde4bc754562 + .quad 0x7585d4263af77a3c + .quad 0xdfae7b11fee9144d + .quad 0xa506708059f7193d + .quad 0x14f29a5383922037 + .quad 0xdf717edc25b2d7f5 + .quad 0x21f970db99b53040 + .quad 0xda9234b7c3ed4c62 + .quad 0x5e72365c7bee093e + + // 2^192 * 6 * G + + .quad 0x575bfc074571217f + .quad 0x3779675d0694d95b + .quad 0x9a0a37bbf4191e33 + .quad 0x77f1104c47b4eabc + .quad 0x7d9339062f08b33e + .quad 0x5b9659e5df9f32be + .quad 0xacff3dad1f9ebdfd + .quad 0x70b20555cb7349b7 + .quad 0xbe5113c555112c4c + .quad 0x6688423a9a881fcd + .quad 0x446677855e503b47 + .quad 0x0e34398f4a06404a + + // 2^192 * 7 * G + + .quad 0xb67d22d93ecebde8 + .quad 0x09b3e84127822f07 + .quad 0x743fa61fb05b6d8d + .quad 0x5e5405368a362372 + .quad 0x18930b093e4b1928 + .quad 0x7de3e10e73f3f640 + .quad 0xf43217da73395d6f + .quad 0x6f8aded6ca379c3e + .quad 0xe340123dfdb7b29a + .quad 0x487b97e1a21ab291 + .quad 0xf9967d02fde6949e + .quad 0x780de72ec8d3de97 + + // 2^192 * 8 * G + + .quad 0x0ae28545089ae7bc + .quad 0x388ddecf1c7f4d06 + .quad 0x38ac15510a4811b8 + .quad 0x0eb28bf671928ce4 + .quad 0x671feaf300f42772 + .quad 0x8f72eb2a2a8c41aa + .quad 0x29a17fd797373292 + .quad 0x1defc6ad32b587a6 + .quad 0xaf5bbe1aef5195a7 + .quad 0x148c1277917b15ed + .quad 0x2991f7fb7ae5da2e + .quad 0x467d201bf8dd2867 + + // 2^196 * 1 * G + + .quad 0x7906ee72f7bd2e6b + .quad 0x05d270d6109abf4e + .quad 0x8d5cfe45b941a8a4 + .quad 0x44c218671c974287 + .quad 0x745f9d56296bc318 + .quad 0x993580d4d8152e65 + .quad 0xb0e5b13f5839e9ce + .quad 0x51fc2b28d43921c0 + .quad 0x1b8fd11795e2a98c + .quad 0x1c4e5ee12b6b6291 + .quad 0x5b30e7107424b572 + .quad 0x6e6b9de84c4f4ac6 + + // 2^196 * 2 * G + + .quad 0xdff25fce4b1de151 + .quad 0xd841c0c7e11c4025 + .quad 0x2554b3c854749c87 + .quad 0x2d292459908e0df9 + .quad 0x6b7c5f10f80cb088 + .quad 0x736b54dc56e42151 + .quad 0xc2b620a5c6ef99c4 + .quad 0x5f4c802cc3a06f42 + .quad 0x9b65c8f17d0752da + .quad 0x881ce338c77ee800 + .quad 0xc3b514f05b62f9e3 + .quad 0x66ed5dd5bec10d48 + + // 2^196 * 3 * G + + .quad 0x7d38a1c20bb2089d + .quad 0x808334e196ccd412 + .quad 0xc4a70b8c6c97d313 + .quad 0x2eacf8bc03007f20 + .quad 0xf0adf3c9cbca047d + .quad 0x81c3b2cbf4552f6b + .quad 0xcfda112d44735f93 + .quad 0x1f23a0c77e20048c + .quad 0xf235467be5bc1570 + .quad 0x03d2d9020dbab38c + .quad 0x27529aa2fcf9e09e + .quad 0x0840bef29d34bc50 + + // 2^196 * 4 * G + + .quad 0x796dfb35dc10b287 + .quad 0x27176bcd5c7ff29d + .quad 0x7f3d43e8c7b24905 + .quad 0x0304f5a191c54276 + .quad 0xcd54e06b7f37e4eb + .quad 0x8cc15f87f5e96cca + .quad 0xb8248bb0d3597dce + .quad 0x246affa06074400c + .quad 0x37d88e68fbe45321 + .quad 0x86097548c0d75032 + .quad 0x4e9b13ef894a0d35 + .quad 0x25a83cac5753d325 + + // 2^196 * 5 * G + + .quad 0x10222f48eed8165e + .quad 0x623fc1234b8bcf3a + .quad 0x1e145c09c221e8f0 + .quad 0x7ccfa59fca782630 + .quad 0x9f0f66293952b6e2 + .quad 0x33db5e0e0934267b + .quad 0xff45252bd609fedc + .quad 0x06be10f5c506e0c9 + .quad 0x1a9615a9b62a345f + .quad 0x22050c564a52fecc + .quad 0xa7a2788528bc0dfe + .quad 0x5e82770a1a1ee71d + + // 2^196 * 6 * G + + .quad 0x35425183ad896a5c + .quad 0xe8673afbe78d52f6 + .quad 0x2c66f25f92a35f64 + .quad 0x09d04f3b3b86b102 + .quad 0xe802e80a42339c74 + .quad 0x34175166a7fffae5 + .quad 0x34865d1f1c408cae + .quad 0x2cca982c605bc5ee + .quad 0xfd2d5d35197dbe6e + .quad 0x207c2eea8be4ffa3 + .quad 0x2613d8db325ae918 + .quad 0x7a325d1727741d3e + + // 2^196 * 7 * G + + .quad 0xd036b9bbd16dfde2 + .quad 0xa2055757c497a829 + .quad 0x8e6cc966a7f12667 + .quad 0x4d3b1a791239c180 + .quad 0xecd27d017e2a076a + .quad 0xd788689f1636495e + .quad 0x52a61af0919233e5 + .quad 0x2a479df17bb1ae64 + .quad 0x9e5eee8e33db2710 + .quad 0x189854ded6c43ca5 + .quad 0xa41c22c592718138 + .quad 0x27ad5538a43a5e9b + + // 2^196 * 8 * G + + .quad 0x2746dd4b15350d61 + .quad 0xd03fcbc8ee9521b7 + .quad 0xe86e365a138672ca + .quad 0x510e987f7e7d89e2 + .quad 0xcb5a7d638e47077c + .quad 0x8db7536120a1c059 + .quad 0x549e1e4d8bedfdcc + .quad 0x080153b7503b179d + .quad 0xdda69d930a3ed3e3 + .quad 0x3d386ef1cd60a722 + .quad 0xc817ad58bdaa4ee6 + .quad 0x23be8d554fe7372a + + // 2^200 * 1 * G + + .quad 0x95fe919a74ef4fad + .quad 0x3a827becf6a308a2 + .quad 0x964e01d309a47b01 + .quad 0x71c43c4f5ba3c797 + .quad 0xbc1ef4bd567ae7a9 + .quad 0x3f624cb2d64498bd + .quad 0xe41064d22c1f4ec8 + .quad 0x2ef9c5a5ba384001 + .quad 0xb6fd6df6fa9e74cd + .quad 0xf18278bce4af267a + .quad 0x8255b3d0f1ef990e + .quad 0x5a758ca390c5f293 + + // 2^200 * 2 * G + + .quad 0xa2b72710d9462495 + .quad 0x3aa8c6d2d57d5003 + .quad 0xe3d400bfa0b487ca + .quad 0x2dbae244b3eb72ec + .quad 0x8ce0918b1d61dc94 + .quad 0x8ded36469a813066 + .quad 0xd4e6a829afe8aad3 + .quad 0x0a738027f639d43f + .quad 0x980f4a2f57ffe1cc + .quad 0x00670d0de1839843 + .quad 0x105c3f4a49fb15fd + .quad 0x2698ca635126a69c + + // 2^200 * 3 * G + + .quad 0xe765318832b0ba78 + .quad 0x381831f7925cff8b + .quad 0x08a81b91a0291fcc + .quad 0x1fb43dcc49caeb07 + .quad 0x2e3d702f5e3dd90e + .quad 0x9e3f0918e4d25386 + .quad 0x5e773ef6024da96a + .quad 0x3c004b0c4afa3332 + .quad 0x9aa946ac06f4b82b + .quad 0x1ca284a5a806c4f3 + .quad 0x3ed3265fc6cd4787 + .quad 0x6b43fd01cd1fd217 + + // 2^200 * 4 * G + + .quad 0xc7a75d4b4697c544 + .quad 0x15fdf848df0fffbf + .quad 0x2868b9ebaa46785a + .quad 0x5a68d7105b52f714 + .quad 0xb5c742583e760ef3 + .quad 0x75dc52b9ee0ab990 + .quad 0xbf1427c2072b923f + .quad 0x73420b2d6ff0d9f0 + .quad 0xaf2cf6cb9e851e06 + .quad 0x8f593913c62238c4 + .quad 0xda8ab89699fbf373 + .quad 0x3db5632fea34bc9e + + // 2^200 * 5 * G + + .quad 0xf46eee2bf75dd9d8 + .quad 0x0d17b1f6396759a5 + .quad 0x1bf2d131499e7273 + .quad 0x04321adf49d75f13 + .quad 0x2e4990b1829825d5 + .quad 0xedeaeb873e9a8991 + .quad 0xeef03d394c704af8 + .quad 0x59197ea495df2b0e + .quad 0x04e16019e4e55aae + .quad 0xe77b437a7e2f92e9 + .quad 0xc7ce2dc16f159aa4 + .quad 0x45eafdc1f4d70cc0 + + // 2^200 * 6 * G + + .quad 0x698401858045d72b + .quad 0x4c22faa2cf2f0651 + .quad 0x941a36656b222dc6 + .quad 0x5a5eebc80362dade + .quad 0xb60e4624cfccb1ed + .quad 0x59dbc292bd5c0395 + .quad 0x31a09d1ddc0481c9 + .quad 0x3f73ceea5d56d940 + .quad 0xb7a7bfd10a4e8dc6 + .quad 0xbe57007e44c9b339 + .quad 0x60c1207f1557aefa + .quad 0x26058891266218db + + // 2^200 * 7 * G + + .quad 0x59f704a68360ff04 + .quad 0xc3d93fde7661e6f4 + .quad 0x831b2a7312873551 + .quad 0x54ad0c2e4e615d57 + .quad 0x4c818e3cc676e542 + .quad 0x5e422c9303ceccad + .quad 0xec07cccab4129f08 + .quad 0x0dedfa10b24443b8 + .quad 0xee3b67d5b82b522a + .quad 0x36f163469fa5c1eb + .quad 0xa5b4d2f26ec19fd3 + .quad 0x62ecb2baa77a9408 + + // 2^200 * 8 * G + + .quad 0xe5ed795261152b3d + .quad 0x4962357d0eddd7d1 + .quad 0x7482c8d0b96b4c71 + .quad 0x2e59f919a966d8be + .quad 0x92072836afb62874 + .quad 0x5fcd5e8579e104a5 + .quad 0x5aad01adc630a14a + .quad 0x61913d5075663f98 + .quad 0x0dc62d361a3231da + .quad 0xfa47583294200270 + .quad 0x02d801513f9594ce + .quad 0x3ddbc2a131c05d5c + + // 2^204 * 1 * G + + .quad 0x3f50a50a4ffb81ef + .quad 0xb1e035093bf420bf + .quad 0x9baa8e1cc6aa2cd0 + .quad 0x32239861fa237a40 + .quad 0xfb735ac2004a35d1 + .quad 0x31de0f433a6607c3 + .quad 0x7b8591bfc528d599 + .quad 0x55be9a25f5bb050c + .quad 0x0d005acd33db3dbf + .quad 0x0111b37c80ac35e2 + .quad 0x4892d66c6f88ebeb + .quad 0x770eadb16508fbcd + + // 2^204 * 2 * G + + .quad 0x8451f9e05e4e89dd + .quad 0xc06302ffbc793937 + .quad 0x5d22749556a6495c + .quad 0x09a6755ca05603fb + .quad 0xf1d3b681a05071b9 + .quad 0x2207659a3592ff3a + .quad 0x5f0169297881e40e + .quad 0x16bedd0e86ba374e + .quad 0x5ecccc4f2c2737b5 + .quad 0x43b79e0c2dccb703 + .quad 0x33e008bc4ec43df3 + .quad 0x06c1b840f07566c0 + + // 2^204 * 3 * G + + .quad 0x7688a5c6a388f877 + .quad 0x02a96c14deb2b6ac + .quad 0x64c9f3431b8c2af8 + .quad 0x3628435554a1eed6 + .quad 0x69ee9e7f9b02805c + .quad 0xcbff828a547d1640 + .quad 0x3d93a869b2430968 + .quad 0x46b7b8cd3fe26972 + .quad 0xe9812086fe7eebe0 + .quad 0x4cba6be72f515437 + .quad 0x1d04168b516efae9 + .quad 0x5ea1391043982cb9 + + // 2^204 * 4 * G + + .quad 0x49125c9cf4702ee1 + .quad 0x4520b71f8b25b32d + .quad 0x33193026501fef7e + .quad 0x656d8997c8d2eb2b + .quad 0x6f2b3be4d5d3b002 + .quad 0xafec33d96a09c880 + .quad 0x035f73a4a8bcc4cc + .quad 0x22c5b9284662198b + .quad 0xcb58c8fe433d8939 + .quad 0x89a0cb2e6a8d7e50 + .quad 0x79ca955309fbbe5a + .quad 0x0c626616cd7fc106 + + // 2^204 * 5 * G + + .quad 0x1ffeb80a4879b61f + .quad 0x6396726e4ada21ed + .quad 0x33c7b093368025ba + .quad 0x471aa0c6f3c31788 + .quad 0x8fdfc379fbf454b1 + .quad 0x45a5a970f1a4b771 + .quad 0xac921ef7bad35915 + .quad 0x42d088dca81c2192 + .quad 0x8fda0f37a0165199 + .quad 0x0adadb77c8a0e343 + .quad 0x20fbfdfcc875e820 + .quad 0x1cf2bea80c2206e7 + + // 2^204 * 6 * G + + .quad 0xc2ddf1deb36202ac + .quad 0x92a5fe09d2e27aa5 + .quad 0x7d1648f6fc09f1d3 + .quad 0x74c2cc0513bc4959 + .quad 0x982d6e1a02c0412f + .quad 0x90fa4c83db58e8fe + .quad 0x01c2f5bcdcb18bc0 + .quad 0x686e0c90216abc66 + .quad 0x1fadbadba54395a7 + .quad 0xb41a02a0ae0da66a + .quad 0xbf19f598bba37c07 + .quad 0x6a12b8acde48430d + + // 2^204 * 7 * G + + .quad 0xf8daea1f39d495d9 + .quad 0x592c190e525f1dfc + .quad 0xdb8cbd04c9991d1b + .quad 0x11f7fda3d88f0cb7 + .quad 0x793bdd801aaeeb5f + .quad 0x00a2a0aac1518871 + .quad 0xe8a373a31f2136b4 + .quad 0x48aab888fc91ef19 + .quad 0x041f7e925830f40e + .quad 0x002d6ca979661c06 + .quad 0x86dc9ff92b046a2e + .quad 0x760360928b0493d1 + + // 2^204 * 8 * G + + .quad 0x21bb41c6120cf9c6 + .quad 0xeab2aa12decda59b + .quad 0xc1a72d020aa48b34 + .quad 0x215d4d27e87d3b68 + .quad 0xb43108e5695a0b05 + .quad 0x6cb00ee8ad37a38b + .quad 0x5edad6eea3537381 + .quad 0x3f2602d4b6dc3224 + .quad 0xc8b247b65bcaf19c + .quad 0x49779dc3b1b2c652 + .quad 0x89a180bbd5ece2e2 + .quad 0x13f098a3cec8e039 + + // 2^208 * 1 * G + + .quad 0x9adc0ff9ce5ec54b + .quad 0x039c2a6b8c2f130d + .quad 0x028007c7f0f89515 + .quad 0x78968314ac04b36b + .quad 0xf3aa57a22796bb14 + .quad 0x883abab79b07da21 + .quad 0xe54be21831a0391c + .quad 0x5ee7fb38d83205f9 + .quad 0x538dfdcb41446a8e + .quad 0xa5acfda9434937f9 + .quad 0x46af908d263c8c78 + .quad 0x61d0633c9bca0d09 + + // 2^208 * 2 * G + + .quad 0x63744935ffdb2566 + .quad 0xc5bd6b89780b68bb + .quad 0x6f1b3280553eec03 + .quad 0x6e965fd847aed7f5 + .quad 0xada328bcf8fc73df + .quad 0xee84695da6f037fc + .quad 0x637fb4db38c2a909 + .quad 0x5b23ac2df8067bdc + .quad 0x9ad2b953ee80527b + .quad 0xe88f19aafade6d8d + .quad 0x0e711704150e82cf + .quad 0x79b9bbb9dd95dedc + + // 2^208 * 3 * G + + .quad 0xebb355406a3126c2 + .quad 0xd26383a868c8c393 + .quad 0x6c0c6429e5b97a82 + .quad 0x5065f158c9fd2147 + .quad 0xd1997dae8e9f7374 + .quad 0xa032a2f8cfbb0816 + .quad 0xcd6cba126d445f0a + .quad 0x1ba811460accb834 + .quad 0x708169fb0c429954 + .quad 0xe14600acd76ecf67 + .quad 0x2eaab98a70e645ba + .quad 0x3981f39e58a4faf2 + + // 2^208 * 4 * G + + .quad 0x18fb8a7559230a93 + .quad 0x1d168f6960e6f45d + .quad 0x3a85a94514a93cb5 + .quad 0x38dc083705acd0fd + .quad 0xc845dfa56de66fde + .quad 0xe152a5002c40483a + .quad 0xe9d2e163c7b4f632 + .quad 0x30f4452edcbc1b65 + .quad 0x856d2782c5759740 + .quad 0xfa134569f99cbecc + .quad 0x8844fc73c0ea4e71 + .quad 0x632d9a1a593f2469 + + // 2^208 * 5 * G + + .quad 0xf6bb6b15b807cba6 + .quad 0x1823c7dfbc54f0d7 + .quad 0xbb1d97036e29670b + .quad 0x0b24f48847ed4a57 + .quad 0xbf09fd11ed0c84a7 + .quad 0x63f071810d9f693a + .quad 0x21908c2d57cf8779 + .quad 0x3a5a7df28af64ba2 + .quad 0xdcdad4be511beac7 + .quad 0xa4538075ed26ccf2 + .quad 0xe19cff9f005f9a65 + .quad 0x34fcf74475481f63 + + // 2^208 * 6 * G + + .quad 0xc197e04c789767ca + .quad 0xb8714dcb38d9467d + .quad 0x55de888283f95fa8 + .quad 0x3d3bdc164dfa63f7 + .quad 0xa5bb1dab78cfaa98 + .quad 0x5ceda267190b72f2 + .quad 0x9309c9110a92608e + .quad 0x0119a3042fb374b0 + .quad 0x67a2d89ce8c2177d + .quad 0x669da5f66895d0c1 + .quad 0xf56598e5b282a2b0 + .quad 0x56c088f1ede20a73 + + // 2^208 * 7 * G + + .quad 0x336d3d1110a86e17 + .quad 0xd7f388320b75b2fa + .quad 0xf915337625072988 + .quad 0x09674c6b99108b87 + .quad 0x581b5fac24f38f02 + .quad 0xa90be9febae30cbd + .quad 0x9a2169028acf92f0 + .quad 0x038b7ea48359038f + .quad 0x9f4ef82199316ff8 + .quad 0x2f49d282eaa78d4f + .quad 0x0971a5ab5aef3174 + .quad 0x6e5e31025969eb65 + + // 2^208 * 8 * G + + .quad 0xb16c62f587e593fb + .quad 0x4999eddeca5d3e71 + .quad 0xb491c1e014cc3e6d + .quad 0x08f5114789a8dba8 + .quad 0x3304fb0e63066222 + .quad 0xfb35068987acba3f + .quad 0xbd1924778c1061a3 + .quad 0x3058ad43d1838620 + .quad 0x323c0ffde57663d0 + .quad 0x05c3df38a22ea610 + .quad 0xbdc78abdac994f9a + .quad 0x26549fa4efe3dc99 + + // 2^212 * 1 * G + + .quad 0x738b38d787ce8f89 + .quad 0xb62658e24179a88d + .quad 0x30738c9cf151316d + .quad 0x49128c7f727275c9 + .quad 0x04dbbc17f75396b9 + .quad 0x69e6a2d7d2f86746 + .quad 0xc6409d99f53eabc6 + .quad 0x606175f6332e25d2 + .quad 0x4021370ef540e7dd + .quad 0x0910d6f5a1f1d0a5 + .quad 0x4634aacd5b06b807 + .quad 0x6a39e6356944f235 + + // 2^212 * 2 * G + + .quad 0x96cd5640df90f3e7 + .quad 0x6c3a760edbfa25ea + .quad 0x24f3ef0959e33cc4 + .quad 0x42889e7e530d2e58 + .quad 0x1da1965774049e9d + .quad 0xfbcd6ea198fe352b + .quad 0xb1cbcd50cc5236a6 + .quad 0x1f5ec83d3f9846e2 + .quad 0x8efb23c3328ccb75 + .quad 0xaf42a207dd876ee9 + .quad 0x20fbdadc5dfae796 + .quad 0x241e246b06bf9f51 + + // 2^212 * 3 * G + + .quad 0x29e68e57ad6e98f6 + .quad 0x4c9260c80b462065 + .quad 0x3f00862ea51ebb4b + .quad 0x5bc2c77fb38d9097 + .quad 0x7eaafc9a6280bbb8 + .quad 0x22a70f12f403d809 + .quad 0x31ce40bb1bfc8d20 + .quad 0x2bc65635e8bd53ee + .quad 0xe8d5dc9fa96bad93 + .quad 0xe58fb17dde1947dc + .quad 0x681532ea65185fa3 + .quad 0x1fdd6c3b034a7830 + + // 2^212 * 4 * G + + .quad 0x0a64e28c55dc18fe + .quad 0xe3df9e993399ebdd + .quad 0x79ac432370e2e652 + .quad 0x35ff7fc33ae4cc0e + .quad 0x9c13a6a52dd8f7a9 + .quad 0x2dbb1f8c3efdcabf + .quad 0x961e32405e08f7b5 + .quad 0x48c8a121bbe6c9e5 + .quad 0xfc415a7c59646445 + .quad 0xd224b2d7c128b615 + .quad 0x6035c9c905fbb912 + .quad 0x42d7a91274429fab + + // 2^212 * 5 * G + + .quad 0x4e6213e3eaf72ed3 + .quad 0x6794981a43acd4e7 + .quad 0xff547cde6eb508cb + .quad 0x6fed19dd10fcb532 + .quad 0xa9a48947933da5bc + .quad 0x4a58920ec2e979ec + .quad 0x96d8800013e5ac4c + .quad 0x453692d74b48b147 + .quad 0xdd775d99a8559c6f + .quad 0xf42a2140df003e24 + .quad 0x5223e229da928a66 + .quad 0x063f46ba6d38f22c + + // 2^212 * 6 * G + + .quad 0xd2d242895f536694 + .quad 0xca33a2c542939b2c + .quad 0x986fada6c7ddb95c + .quad 0x5a152c042f712d5d + .quad 0x39843cb737346921 + .quad 0xa747fb0738c89447 + .quad 0xcb8d8031a245307e + .quad 0x67810f8e6d82f068 + .quad 0x3eeb8fbcd2287db4 + .quad 0x72c7d3a301a03e93 + .quad 0x5473e88cbd98265a + .quad 0x7324aa515921b403 + + // 2^212 * 7 * G + + .quad 0x857942f46c3cbe8e + .quad 0xa1d364b14730c046 + .quad 0x1c8ed914d23c41bf + .quad 0x0838e161eef6d5d2 + .quad 0xad23f6dae82354cb + .quad 0x6962502ab6571a6d + .quad 0x9b651636e38e37d1 + .quad 0x5cac5005d1a3312f + .quad 0x8cc154cce9e39904 + .quad 0x5b3a040b84de6846 + .quad 0xc4d8a61cb1be5d6e + .quad 0x40fb897bd8861f02 + + // 2^212 * 8 * G + + .quad 0x84c5aa9062de37a1 + .quad 0x421da5000d1d96e1 + .quad 0x788286306a9242d9 + .quad 0x3c5e464a690d10da + .quad 0xe57ed8475ab10761 + .quad 0x71435e206fd13746 + .quad 0x342f824ecd025632 + .quad 0x4b16281ea8791e7b + .quad 0xd1c101d50b813381 + .quad 0xdee60f1176ee6828 + .quad 0x0cb68893383f6409 + .quad 0x6183c565f6ff484a + + // 2^216 * 1 * G + + .quad 0x741d5a461e6bf9d6 + .quad 0x2305b3fc7777a581 + .quad 0xd45574a26474d3d9 + .quad 0x1926e1dc6401e0ff + .quad 0xdb468549af3f666e + .quad 0xd77fcf04f14a0ea5 + .quad 0x3df23ff7a4ba0c47 + .quad 0x3a10dfe132ce3c85 + .quad 0xe07f4e8aea17cea0 + .quad 0x2fd515463a1fc1fd + .quad 0x175322fd31f2c0f1 + .quad 0x1fa1d01d861e5d15 + + // 2^216 * 2 * G + + .quad 0xcc8055947d599832 + .quad 0x1e4656da37f15520 + .quad 0x99f6f7744e059320 + .quad 0x773563bc6a75cf33 + .quad 0x38dcac00d1df94ab + .quad 0x2e712bddd1080de9 + .quad 0x7f13e93efdd5e262 + .quad 0x73fced18ee9a01e5 + .quad 0x06b1e90863139cb3 + .quad 0xa493da67c5a03ecd + .quad 0x8d77cec8ad638932 + .quad 0x1f426b701b864f44 + + // 2^216 * 3 * G + + .quad 0xefc9264c41911c01 + .quad 0xf1a3b7b817a22c25 + .quad 0x5875da6bf30f1447 + .quad 0x4e1af5271d31b090 + .quad 0xf17e35c891a12552 + .quad 0xb76b8153575e9c76 + .quad 0xfa83406f0d9b723e + .quad 0x0b76bb1b3fa7e438 + .quad 0x08b8c1f97f92939b + .quad 0xbe6771cbd444ab6e + .quad 0x22e5646399bb8017 + .quad 0x7b6dd61eb772a955 + + // 2^216 * 4 * G + + .quad 0xb7adc1e850f33d92 + .quad 0x7998fa4f608cd5cf + .quad 0xad962dbd8dfc5bdb + .quad 0x703e9bceaf1d2f4f + .quad 0x5730abf9ab01d2c7 + .quad 0x16fb76dc40143b18 + .quad 0x866cbe65a0cbb281 + .quad 0x53fa9b659bff6afe + .quad 0x6c14c8e994885455 + .quad 0x843a5d6665aed4e5 + .quad 0x181bb73ebcd65af1 + .quad 0x398d93e5c4c61f50 + + // 2^216 * 5 * G + + .quad 0x1c4bd16733e248f3 + .quad 0xbd9e128715bf0a5f + .quad 0xd43f8cf0a10b0376 + .quad 0x53b09b5ddf191b13 + .quad 0xc3877c60d2e7e3f2 + .quad 0x3b34aaa030828bb1 + .quad 0x283e26e7739ef138 + .quad 0x699c9c9002c30577 + .quad 0xf306a7235946f1cc + .quad 0x921718b5cce5d97d + .quad 0x28cdd24781b4e975 + .quad 0x51caf30c6fcdd907 + + // 2^216 * 6 * G + + .quad 0xa60ba7427674e00a + .quad 0x630e8570a17a7bf3 + .quad 0x3758563dcf3324cc + .quad 0x5504aa292383fdaa + .quad 0x737af99a18ac54c7 + .quad 0x903378dcc51cb30f + .quad 0x2b89bc334ce10cc7 + .quad 0x12ae29c189f8e99a + .quad 0xa99ec0cb1f0d01cf + .quad 0x0dd1efcc3a34f7ae + .quad 0x55ca7521d09c4e22 + .quad 0x5fd14fe958eba5ea + + // 2^216 * 7 * G + + .quad 0xb5dc2ddf2845ab2c + .quad 0x069491b10a7fe993 + .quad 0x4daaf3d64002e346 + .quad 0x093ff26e586474d1 + .quad 0x3c42fe5ebf93cb8e + .quad 0xbedfa85136d4565f + .quad 0xe0f0859e884220e8 + .quad 0x7dd73f960725d128 + .quad 0xb10d24fe68059829 + .quad 0x75730672dbaf23e5 + .quad 0x1367253ab457ac29 + .quad 0x2f59bcbc86b470a4 + + // 2^216 * 8 * G + + .quad 0x83847d429917135f + .quad 0xad1b911f567d03d7 + .quad 0x7e7748d9be77aad1 + .quad 0x5458b42e2e51af4a + .quad 0x7041d560b691c301 + .quad 0x85201b3fadd7e71e + .quad 0x16c2e16311335585 + .quad 0x2aa55e3d010828b1 + .quad 0xed5192e60c07444f + .quad 0x42c54e2d74421d10 + .quad 0x352b4c82fdb5c864 + .quad 0x13e9004a8a768664 + + // 2^220 * 1 * G + + .quad 0xcbb5b5556c032bff + .quad 0xdf7191b729297a3a + .quad 0xc1ff7326aded81bb + .quad 0x71ade8bb68be03f5 + .quad 0x1e6284c5806b467c + .quad 0xc5f6997be75d607b + .quad 0x8b67d958b378d262 + .quad 0x3d88d66a81cd8b70 + .quad 0x8b767a93204ed789 + .quad 0x762fcacb9fa0ae2a + .quad 0x771febcc6dce4887 + .quad 0x343062158ff05fb3 + + // 2^220 * 2 * G + + .quad 0xe05da1a7e1f5bf49 + .quad 0x26457d6dd4736092 + .quad 0x77dcb07773cc32f6 + .quad 0x0a5d94969cdd5fcd + .quad 0xfce219072a7b31b4 + .quad 0x4d7adc75aa578016 + .quad 0x0ec276a687479324 + .quad 0x6d6d9d5d1fda4beb + .quad 0x22b1a58ae9b08183 + .quad 0xfd95d071c15c388b + .quad 0xa9812376850a0517 + .quad 0x33384cbabb7f335e + + // 2^220 * 3 * G + + .quad 0x3c6fa2680ca2c7b5 + .quad 0x1b5082046fb64fda + .quad 0xeb53349c5431d6de + .quad 0x5278b38f6b879c89 + .quad 0x33bc627a26218b8d + .quad 0xea80b21fc7a80c61 + .quad 0x9458b12b173e9ee6 + .quad 0x076247be0e2f3059 + .quad 0x52e105f61416375a + .quad 0xec97af3685abeba4 + .quad 0x26e6b50623a67c36 + .quad 0x5cf0e856f3d4fb01 + + // 2^220 * 4 * G + + .quad 0xf6c968731ae8cab4 + .quad 0x5e20741ecb4f92c5 + .quad 0x2da53be58ccdbc3e + .quad 0x2dddfea269970df7 + .quad 0xbeaece313db342a8 + .quad 0xcba3635b842db7ee + .quad 0xe88c6620817f13ef + .quad 0x1b9438aa4e76d5c6 + .quad 0x8a50777e166f031a + .quad 0x067b39f10fb7a328 + .quad 0x1925c9a6010fbd76 + .quad 0x6df9b575cc740905 + + // 2^220 * 5 * G + + .quad 0x42c1192927f6bdcf + .quad 0x8f91917a403d61ca + .quad 0xdc1c5a668b9e1f61 + .quad 0x1596047804ec0f8d + .quad 0xecdfc35b48cade41 + .quad 0x6a88471fb2328270 + .quad 0x740a4a2440a01b6a + .quad 0x471e5796003b5f29 + .quad 0xda96bbb3aced37ac + .quad 0x7a2423b5e9208cea + .quad 0x24cc5c3038aebae2 + .quad 0x50c356afdc5dae2f + + // 2^220 * 6 * G + + .quad 0x09dcbf4341c30318 + .quad 0xeeba061183181dce + .quad 0xc179c0cedc1e29a1 + .quad 0x1dbf7b89073f35b0 + .quad 0xcfed9cdf1b31b964 + .quad 0xf486a9858ca51af3 + .quad 0x14897265ea8c1f84 + .quad 0x784a53dd932acc00 + .quad 0x2d99f9df14fc4920 + .quad 0x76ccb60cc4499fe5 + .quad 0xa4132cbbe5cf0003 + .quad 0x3f93d82354f000ea + + // 2^220 * 7 * G + + .quad 0x8183e7689e04ce85 + .quad 0x678fb71e04465341 + .quad 0xad92058f6688edac + .quad 0x5da350d3532b099a + .quad 0xeaac12d179e14978 + .quad 0xff923ff3bbebff5e + .quad 0x4af663e40663ce27 + .quad 0x0fd381a811a5f5ff + .quad 0xf256aceca436df54 + .quad 0x108b6168ae69d6e8 + .quad 0x20d986cb6b5d036c + .quad 0x655957b9fee2af50 + + // 2^220 * 8 * G + + .quad 0xaea8b07fa902030f + .quad 0xf88c766af463d143 + .quad 0x15b083663c787a60 + .quad 0x08eab1148267a4a8 + .quad 0xbdc1409bd002d0ac + .quad 0x66660245b5ccd9a6 + .quad 0x82317dc4fade85ec + .quad 0x02fe934b6ad7df0d + .quad 0xef5cf100cfb7ea74 + .quad 0x22897633a1cb42ac + .quad 0xd4ce0c54cef285e2 + .quad 0x30408c048a146a55 + + // 2^224 * 1 * G + + .quad 0x739d8845832fcedb + .quad 0xfa38d6c9ae6bf863 + .quad 0x32bc0dcab74ffef7 + .quad 0x73937e8814bce45e + .quad 0xbb2e00c9193b877f + .quad 0xece3a890e0dc506b + .quad 0xecf3b7c036de649f + .quad 0x5f46040898de9e1a + .quad 0xb9037116297bf48d + .quad 0xa9d13b22d4f06834 + .quad 0xe19715574696bdc6 + .quad 0x2cf8a4e891d5e835 + + // 2^224 * 2 * G + + .quad 0x6d93fd8707110f67 + .quad 0xdd4c09d37c38b549 + .quad 0x7cb16a4cc2736a86 + .quad 0x2049bd6e58252a09 + .quad 0x2cb5487e17d06ba2 + .quad 0x24d2381c3950196b + .quad 0xd7659c8185978a30 + .quad 0x7a6f7f2891d6a4f6 + .quad 0x7d09fd8d6a9aef49 + .quad 0xf0ee60be5b3db90b + .quad 0x4c21b52c519ebfd4 + .quad 0x6011aadfc545941d + + // 2^224 * 3 * G + + .quad 0x5f67926dcf95f83c + .quad 0x7c7e856171289071 + .quad 0xd6a1e7f3998f7a5b + .quad 0x6fc5cc1b0b62f9e0 + .quad 0x63ded0c802cbf890 + .quad 0xfbd098ca0dff6aaa + .quad 0x624d0afdb9b6ed99 + .quad 0x69ce18b779340b1e + .quad 0xd1ef5528b29879cb + .quad 0xdd1aae3cd47e9092 + .quad 0x127e0442189f2352 + .quad 0x15596b3ae57101f1 + + // 2^224 * 4 * G + + .quad 0x462739d23f9179a2 + .quad 0xff83123197d6ddcf + .quad 0x1307deb553f2148a + .quad 0x0d2237687b5f4dda + .quad 0x09ff31167e5124ca + .quad 0x0be4158bd9c745df + .quad 0x292b7d227ef556e5 + .quad 0x3aa4e241afb6d138 + .quad 0x2cc138bf2a3305f5 + .quad 0x48583f8fa2e926c3 + .quad 0x083ab1a25549d2eb + .quad 0x32fcaa6e4687a36c + + // 2^224 * 5 * G + + .quad 0x7bc56e8dc57d9af5 + .quad 0x3e0bd2ed9df0bdf2 + .quad 0xaac014de22efe4a3 + .quad 0x4627e9cefebd6a5c + .quad 0x3207a4732787ccdf + .quad 0x17e31908f213e3f8 + .quad 0xd5b2ecd7f60d964e + .quad 0x746f6336c2600be9 + .quad 0x3f4af345ab6c971c + .quad 0xe288eb729943731f + .quad 0x33596a8a0344186d + .quad 0x7b4917007ed66293 + + // 2^224 * 6 * G + + .quad 0x2d85fb5cab84b064 + .quad 0x497810d289f3bc14 + .quad 0x476adc447b15ce0c + .quad 0x122ba376f844fd7b + .quad 0x54341b28dd53a2dd + .quad 0xaa17905bdf42fc3f + .quad 0x0ff592d94dd2f8f4 + .quad 0x1d03620fe08cd37d + .quad 0xc20232cda2b4e554 + .quad 0x9ed0fd42115d187f + .quad 0x2eabb4be7dd479d9 + .quad 0x02c70bf52b68ec4c + + // 2^224 * 7 * G + + .quad 0xa287ec4b5d0b2fbb + .quad 0x415c5790074882ca + .quad 0xe044a61ec1d0815c + .quad 0x26334f0a409ef5e0 + .quad 0xace532bf458d72e1 + .quad 0x5be768e07cb73cb5 + .quad 0x56cf7d94ee8bbde7 + .quad 0x6b0697e3feb43a03 + .quad 0xb6c8f04adf62a3c0 + .quad 0x3ef000ef076da45d + .quad 0x9c9cb95849f0d2a9 + .quad 0x1cc37f43441b2fae + + // 2^224 * 8 * G + + .quad 0x508f565a5cc7324f + .quad 0xd061c4c0e506a922 + .quad 0xfb18abdb5c45ac19 + .quad 0x6c6809c10380314a + .quad 0xd76656f1c9ceaeb9 + .quad 0x1c5b15f818e5656a + .quad 0x26e72832844c2334 + .quad 0x3a346f772f196838 + .quad 0xd2d55112e2da6ac8 + .quad 0xe9bd0331b1e851ed + .quad 0x960746dd8ec67262 + .quad 0x05911b9f6ef7c5d0 + + // 2^228 * 1 * G + + .quad 0xe9dcd756b637ff2d + .quad 0xec4c348fc987f0c4 + .quad 0xced59285f3fbc7b7 + .quad 0x3305354793e1ea87 + .quad 0x01c18980c5fe9f94 + .quad 0xcd656769716fd5c8 + .quad 0x816045c3d195a086 + .quad 0x6e2b7f3266cc7982 + .quad 0xcc802468f7c3568f + .quad 0x9de9ba8219974cb3 + .quad 0xabb7229cb5b81360 + .quad 0x44e2017a6fbeba62 + + // 2^228 * 2 * G + + .quad 0xc4c2a74354dab774 + .quad 0x8e5d4c3c4eaf031a + .quad 0xb76c23d242838f17 + .quad 0x749a098f68dce4ea + .quad 0x87f82cf3b6ca6ecd + .quad 0x580f893e18f4a0c2 + .quad 0x058930072604e557 + .quad 0x6cab6ac256d19c1d + .quad 0xdcdfe0a02cc1de60 + .quad 0x032665ff51c5575b + .quad 0x2c0c32f1073abeeb + .quad 0x6a882014cd7b8606 + + // 2^228 * 3 * G + + .quad 0xa52a92fea4747fb5 + .quad 0xdc12a4491fa5ab89 + .quad 0xd82da94bb847a4ce + .quad 0x4d77edce9512cc4e + .quad 0xd111d17caf4feb6e + .quad 0x050bba42b33aa4a3 + .quad 0x17514c3ceeb46c30 + .quad 0x54bedb8b1bc27d75 + .quad 0x77c8e14577e2189c + .quad 0xa3e46f6aff99c445 + .quad 0x3144dfc86d335343 + .quad 0x3a96559e7c4216a9 + + // 2^228 * 4 * G + + .quad 0x12550d37f42ad2ee + .quad 0x8b78e00498a1fbf5 + .quad 0x5d53078233894cb2 + .quad 0x02c84e4e3e498d0c + .quad 0x4493896880baaa52 + .quad 0x4c98afc4f285940e + .quad 0xef4aa79ba45448b6 + .quad 0x5278c510a57aae7f + .quad 0xa54dd074294c0b94 + .quad 0xf55d46b8df18ffb6 + .quad 0xf06fecc58dae8366 + .quad 0x588657668190d165 + + // 2^228 * 5 * G + + .quad 0xd47712311aef7117 + .quad 0x50343101229e92c7 + .quad 0x7a95e1849d159b97 + .quad 0x2449959b8b5d29c9 + .quad 0xbf5834f03de25cc3 + .quad 0xb887c8aed6815496 + .quad 0x5105221a9481e892 + .quad 0x6760ed19f7723f93 + .quad 0x669ba3b7ac35e160 + .quad 0x2eccf73fba842056 + .quad 0x1aec1f17c0804f07 + .quad 0x0d96bc031856f4e7 + + // 2^228 * 6 * G + + .quad 0x3318be7775c52d82 + .quad 0x4cb764b554d0aab9 + .quad 0xabcf3d27cc773d91 + .quad 0x3bf4d1848123288a + .quad 0xb1d534b0cc7505e1 + .quad 0x32cd003416c35288 + .quad 0xcb36a5800762c29d + .quad 0x5bfe69b9237a0bf8 + .quad 0x183eab7e78a151ab + .quad 0xbbe990c999093763 + .quad 0xff717d6e4ac7e335 + .quad 0x4c5cddb325f39f88 + + // 2^228 * 7 * G + + .quad 0xc0f6b74d6190a6eb + .quad 0x20ea81a42db8f4e4 + .quad 0xa8bd6f7d97315760 + .quad 0x33b1d60262ac7c21 + .quad 0x57750967e7a9f902 + .quad 0x2c37fdfc4f5b467e + .quad 0xb261663a3177ba46 + .quad 0x3a375e78dc2d532b + .quad 0x8141e72f2d4dddea + .quad 0xe6eafe9862c607c8 + .quad 0x23c28458573cafd0 + .quad 0x46b9476f4ff97346 + + // 2^228 * 8 * G + + .quad 0x0c1ffea44f901e5c + .quad 0x2b0b6fb72184b782 + .quad 0xe587ff910114db88 + .quad 0x37130f364785a142 + .quad 0x1215505c0d58359f + .quad 0x2a2013c7fc28c46b + .quad 0x24a0a1af89ea664e + .quad 0x4400b638a1130e1f + .quad 0x3a01b76496ed19c3 + .quad 0x31e00ab0ed327230 + .quad 0x520a885783ca15b1 + .quad 0x06aab9875accbec7 + + // 2^232 * 1 * G + + .quad 0xc1339983f5df0ebb + .quad 0xc0f3758f512c4cac + .quad 0x2cf1130a0bb398e1 + .quad 0x6b3cecf9aa270c62 + .quad 0x5349acf3512eeaef + .quad 0x20c141d31cc1cb49 + .quad 0x24180c07a99a688d + .quad 0x555ef9d1c64b2d17 + .quad 0x36a770ba3b73bd08 + .quad 0x624aef08a3afbf0c + .quad 0x5737ff98b40946f2 + .quad 0x675f4de13381749d + + // 2^232 * 2 * G + + .quad 0x0e2c52036b1782fc + .quad 0x64816c816cad83b4 + .quad 0xd0dcbdd96964073e + .quad 0x13d99df70164c520 + .quad 0xa12ff6d93bdab31d + .quad 0x0725d80f9d652dfe + .quad 0x019c4ff39abe9487 + .quad 0x60f450b882cd3c43 + .quad 0x014b5ec321e5c0ca + .quad 0x4fcb69c9d719bfa2 + .quad 0x4e5f1c18750023a0 + .quad 0x1c06de9e55edac80 + + // 2^232 * 3 * G + + .quad 0x990f7ad6a33ec4e2 + .quad 0x6608f938be2ee08e + .quad 0x9ca143c563284515 + .quad 0x4cf38a1fec2db60d + .quad 0xffd52b40ff6d69aa + .quad 0x34530b18dc4049bb + .quad 0x5e4a5c2fa34d9897 + .quad 0x78096f8e7d32ba2d + .quad 0xa0aaaa650dfa5ce7 + .quad 0xf9c49e2a48b5478c + .quad 0x4f09cc7d7003725b + .quad 0x373cad3a26091abe + + // 2^232 * 4 * G + + .quad 0xb294634d82c9f57c + .quad 0x1fcbfde124934536 + .quad 0x9e9c4db3418cdb5a + .quad 0x0040f3d9454419fc + .quad 0xf1bea8fb89ddbbad + .quad 0x3bcb2cbc61aeaecb + .quad 0x8f58a7bb1f9b8d9d + .quad 0x21547eda5112a686 + .quad 0xdefde939fd5986d3 + .quad 0xf4272c89510a380c + .quad 0xb72ba407bb3119b9 + .quad 0x63550a334a254df4 + + // 2^232 * 5 * G + + .quad 0x6507d6edb569cf37 + .quad 0x178429b00ca52ee1 + .quad 0xea7c0090eb6bd65d + .quad 0x3eea62c7daf78f51 + .quad 0x9bba584572547b49 + .quad 0xf305c6fae2c408e0 + .quad 0x60e8fa69c734f18d + .quad 0x39a92bafaa7d767a + .quad 0x9d24c713e693274e + .quad 0x5f63857768dbd375 + .quad 0x70525560eb8ab39a + .quad 0x68436a0665c9c4cd + + // 2^232 * 6 * G + + .quad 0xbc0235e8202f3f27 + .quad 0xc75c00e264f975b0 + .quad 0x91a4e9d5a38c2416 + .quad 0x17b6e7f68ab789f9 + .quad 0x1e56d317e820107c + .quad 0xc5266844840ae965 + .quad 0xc1e0a1c6320ffc7a + .quad 0x5373669c91611472 + .quad 0x5d2814ab9a0e5257 + .quad 0x908f2084c9cab3fc + .quad 0xafcaf5885b2d1eca + .quad 0x1cb4b5a678f87d11 + + // 2^232 * 7 * G + + .quad 0xb664c06b394afc6c + .quad 0x0c88de2498da5fb1 + .quad 0x4f8d03164bcad834 + .quad 0x330bca78de7434a2 + .quad 0x6b74aa62a2a007e7 + .quad 0xf311e0b0f071c7b1 + .quad 0x5707e438000be223 + .quad 0x2dc0fd2d82ef6eac + .quad 0x982eff841119744e + .quad 0xf9695e962b074724 + .quad 0xc58ac14fbfc953fb + .quad 0x3c31be1b369f1cf5 + + // 2^232 * 8 * G + + .quad 0xb0f4864d08948aee + .quad 0x07dc19ee91ba1c6f + .quad 0x7975cdaea6aca158 + .quad 0x330b61134262d4bb + .quad 0xc168bc93f9cb4272 + .quad 0xaeb8711fc7cedb98 + .quad 0x7f0e52aa34ac8d7a + .quad 0x41cec1097e7d55bb + .quad 0xf79619d7a26d808a + .quad 0xbb1fd49e1d9e156d + .quad 0x73d7c36cdba1df27 + .quad 0x26b44cd91f28777d + + // 2^236 * 1 * G + + .quad 0x300a9035393aa6d8 + .quad 0x2b501131a12bb1cd + .quad 0x7b1ff677f093c222 + .quad 0x4309c1f8cab82bad + .quad 0xaf44842db0285f37 + .quad 0x8753189047efc8df + .quad 0x9574e091f820979a + .quad 0x0e378d6069615579 + .quad 0xd9fa917183075a55 + .quad 0x4bdb5ad26b009fdc + .quad 0x7829ad2cd63def0e + .quad 0x078fc54975fd3877 + + // 2^236 * 2 * G + + .quad 0x87dfbd1428878f2d + .quad 0x134636dd1e9421a1 + .quad 0x4f17c951257341a3 + .quad 0x5df98d4bad296cb8 + .quad 0xe2004b5bb833a98a + .quad 0x44775dec2d4c3330 + .quad 0x3aa244067eace913 + .quad 0x272630e3d58e00a9 + .quad 0xf3678fd0ecc90b54 + .quad 0xf001459b12043599 + .quad 0x26725fbc3758b89b + .quad 0x4325e4aa73a719ae + + // 2^236 * 3 * G + + .quad 0x657dc6ef433c3493 + .quad 0x65375e9f80dbf8c3 + .quad 0x47fd2d465b372dae + .quad 0x4966ab79796e7947 + .quad 0xed24629acf69f59d + .quad 0x2a4a1ccedd5abbf4 + .quad 0x3535ca1f56b2d67b + .quad 0x5d8c68d043b1b42d + .quad 0xee332d4de3b42b0a + .quad 0xd84e5a2b16a4601c + .quad 0x78243877078ba3e4 + .quad 0x77ed1eb4184ee437 + + // 2^236 * 4 * G + + .quad 0xbfd4e13f201839a0 + .quad 0xaeefffe23e3df161 + .quad 0xb65b04f06b5d1fe3 + .quad 0x52e085fb2b62fbc0 + .quad 0x185d43f89e92ed1a + .quad 0xb04a1eeafe4719c6 + .quad 0x499fbe88a6f03f4f + .quad 0x5d8b0d2f3c859bdd + .quad 0x124079eaa54cf2ba + .quad 0xd72465eb001b26e7 + .quad 0x6843bcfdc97af7fd + .quad 0x0524b42b55eacd02 + + // 2^236 * 5 * G + + .quad 0xfd0d5dbee45447b0 + .quad 0x6cec351a092005ee + .quad 0x99a47844567579cb + .quad 0x59d242a216e7fa45 + .quad 0xbc18dcad9b829eac + .quad 0x23ae7d28b5f579d0 + .quad 0xc346122a69384233 + .quad 0x1a6110b2e7d4ac89 + .quad 0x4f833f6ae66997ac + .quad 0x6849762a361839a4 + .quad 0x6985dec1970ab525 + .quad 0x53045e89dcb1f546 + + // 2^236 * 6 * G + + .quad 0xcb8bb346d75353db + .quad 0xfcfcb24bae511e22 + .quad 0xcba48d40d50ae6ef + .quad 0x26e3bae5f4f7cb5d + .quad 0x84da3cde8d45fe12 + .quad 0xbd42c218e444e2d2 + .quad 0xa85196781f7e3598 + .quad 0x7642c93f5616e2b2 + .quad 0x2323daa74595f8e4 + .quad 0xde688c8b857abeb4 + .quad 0x3fc48e961c59326e + .quad 0x0b2e73ca15c9b8ba + + // 2^236 * 7 * G + + .quad 0xd6bb4428c17f5026 + .quad 0x9eb27223fb5a9ca7 + .quad 0xe37ba5031919c644 + .quad 0x21ce380db59a6602 + .quad 0x0e3fbfaf79c03a55 + .quad 0x3077af054cbb5acf + .quad 0xd5c55245db3de39f + .quad 0x015e68c1476a4af7 + .quad 0xc1d5285220066a38 + .quad 0x95603e523570aef3 + .quad 0x832659a7226b8a4d + .quad 0x5dd689091f8eedc9 + + // 2^236 * 8 * G + + .quad 0xcbac84debfd3c856 + .quad 0x1624c348b35ff244 + .quad 0xb7f88dca5d9cad07 + .quad 0x3b0e574da2c2ebe8 + .quad 0x1d022591a5313084 + .quad 0xca2d4aaed6270872 + .quad 0x86a12b852f0bfd20 + .quad 0x56e6c439ad7da748 + .quad 0xc704ff4942bdbae6 + .quad 0x5e21ade2b2de1f79 + .quad 0xe95db3f35652fad8 + .quad 0x0822b5378f08ebc1 + + // 2^240 * 1 * G + + .quad 0x51f048478f387475 + .quad 0xb25dbcf49cbecb3c + .quad 0x9aab1244d99f2055 + .quad 0x2c709e6c1c10a5d6 + .quad 0xe1b7f29362730383 + .quad 0x4b5279ffebca8a2c + .quad 0xdafc778abfd41314 + .quad 0x7deb10149c72610f + .quad 0xcb62af6a8766ee7a + .quad 0x66cbec045553cd0e + .quad 0x588001380f0be4b5 + .quad 0x08e68e9ff62ce2ea + + // 2^240 * 2 * G + + .quad 0x34ad500a4bc130ad + .quad 0x8d38db493d0bd49c + .quad 0xa25c3d98500a89be + .quad 0x2f1f3f87eeba3b09 + .quad 0x2f2d09d50ab8f2f9 + .quad 0xacb9218dc55923df + .quad 0x4a8f342673766cb9 + .quad 0x4cb13bd738f719f5 + .quad 0xf7848c75e515b64a + .quad 0xa59501badb4a9038 + .quad 0xc20d313f3f751b50 + .quad 0x19a1e353c0ae2ee8 + + // 2^240 * 3 * G + + .quad 0x7d1c7560bafa05c3 + .quad 0xb3e1a0a0c6e55e61 + .quad 0xe3529718c0d66473 + .quad 0x41546b11c20c3486 + .quad 0xb42172cdd596bdbd + .quad 0x93e0454398eefc40 + .quad 0x9fb15347b44109b5 + .quad 0x736bd3990266ae34 + .quad 0x85532d509334b3b4 + .quad 0x46fd114b60816573 + .quad 0xcc5f5f30425c8375 + .quad 0x412295a2b87fab5c + + // 2^240 * 4 * G + + .quad 0x19c99b88f57ed6e9 + .quad 0x5393cb266df8c825 + .quad 0x5cee3213b30ad273 + .quad 0x14e153ebb52d2e34 + .quad 0x2e655261e293eac6 + .quad 0x845a92032133acdb + .quad 0x460975cb7900996b + .quad 0x0760bb8d195add80 + .quad 0x413e1a17cde6818a + .quad 0x57156da9ed69a084 + .quad 0x2cbf268f46caccb1 + .quad 0x6b34be9bc33ac5f2 + + // 2^240 * 5 * G + + .quad 0xf3df2f643a78c0b2 + .quad 0x4c3e971ef22e027c + .quad 0xec7d1c5e49c1b5a3 + .quad 0x2012c18f0922dd2d + .quad 0x11fc69656571f2d3 + .quad 0xc6c9e845530e737a + .quad 0xe33ae7a2d4fe5035 + .quad 0x01b9c7b62e6dd30b + .quad 0x880b55e55ac89d29 + .quad 0x1483241f45a0a763 + .quad 0x3d36efdfc2e76c1f + .quad 0x08af5b784e4bade8 + + // 2^240 * 6 * G + + .quad 0x283499dc881f2533 + .quad 0x9d0525da779323b6 + .quad 0x897addfb673441f4 + .quad 0x32b79d71163a168d + .quad 0xe27314d289cc2c4b + .quad 0x4be4bd11a287178d + .quad 0x18d528d6fa3364ce + .quad 0x6423c1d5afd9826e + .quad 0xcc85f8d9edfcb36a + .quad 0x22bcc28f3746e5f9 + .quad 0xe49de338f9e5d3cd + .quad 0x480a5efbc13e2dcc + + // 2^240 * 7 * G + + .quad 0x0b51e70b01622071 + .quad 0x06b505cf8b1dafc5 + .quad 0x2c6bb061ef5aabcd + .quad 0x47aa27600cb7bf31 + .quad 0xb6614ce442ce221f + .quad 0x6e199dcc4c053928 + .quad 0x663fb4a4dc1cbe03 + .quad 0x24b31d47691c8e06 + .quad 0x2a541eedc015f8c3 + .quad 0x11a4fe7e7c693f7c + .quad 0xf0af66134ea278d6 + .quad 0x545b585d14dda094 + + // 2^240 * 8 * G + + .quad 0x67bf275ea0d43a0f + .quad 0xade68e34089beebe + .quad 0x4289134cd479e72e + .quad 0x0f62f9c332ba5454 + .quad 0x6204e4d0e3b321e1 + .quad 0x3baa637a28ff1e95 + .quad 0x0b0ccffd5b99bd9e + .quad 0x4d22dc3e64c8d071 + .quad 0xfcb46589d63b5f39 + .quad 0x5cae6a3f57cbcf61 + .quad 0xfebac2d2953afa05 + .quad 0x1c0fa01a36371436 + + // 2^244 * 1 * G + + .quad 0xe7547449bc7cd692 + .quad 0x0f9abeaae6f73ddf + .quad 0x4af01ca700837e29 + .quad 0x63ab1b5d3f1bc183 + .quad 0xc11ee5e854c53fae + .quad 0x6a0b06c12b4f3ff4 + .quad 0x33540f80e0b67a72 + .quad 0x15f18fc3cd07e3ef + .quad 0x32750763b028f48c + .quad 0x06020740556a065f + .quad 0xd53bd812c3495b58 + .quad 0x08706c9b865f508d + + // 2^244 * 2 * G + + .quad 0xf37ca2ab3d343dff + .quad 0x1a8c6a2d80abc617 + .quad 0x8e49e035d4ccffca + .quad 0x48b46beebaa1d1b9 + .quad 0xcc991b4138b41246 + .quad 0x243b9c526f9ac26b + .quad 0xb9ef494db7cbabbd + .quad 0x5fba433dd082ed00 + .quad 0x9c49e355c9941ad0 + .quad 0xb9734ade74498f84 + .quad 0x41c3fed066663e5c + .quad 0x0ecfedf8e8e710b3 + + // 2^244 * 3 * G + + .quad 0x76430f9f9cd470d9 + .quad 0xb62acc9ba42f6008 + .quad 0x1898297c59adad5e + .quad 0x7789dd2db78c5080 + .quad 0x744f7463e9403762 + .quad 0xf79a8dee8dfcc9c9 + .quad 0x163a649655e4cde3 + .quad 0x3b61788db284f435 + .quad 0xb22228190d6ef6b2 + .quad 0xa94a66b246ce4bfa + .quad 0x46c1a77a4f0b6cc7 + .quad 0x4236ccffeb7338cf + + // 2^244 * 4 * G + + .quad 0x8497404d0d55e274 + .quad 0x6c6663d9c4ad2b53 + .quad 0xec2fb0d9ada95734 + .quad 0x2617e120cdb8f73c + .quad 0x3bd82dbfda777df6 + .quad 0x71b177cc0b98369e + .quad 0x1d0e8463850c3699 + .quad 0x5a71945b48e2d1f1 + .quad 0x6f203dd5405b4b42 + .quad 0x327ec60410b24509 + .quad 0x9c347230ac2a8846 + .quad 0x77de29fc11ffeb6a + + // 2^244 * 5 * G + + .quad 0xb0ac57c983b778a8 + .quad 0x53cdcca9d7fe912c + .quad 0x61c2b854ff1f59dc + .quad 0x3a1a2cf0f0de7dac + .quad 0x835e138fecced2ca + .quad 0x8c9eaf13ea963b9a + .quad 0xc95fbfc0b2160ea6 + .quad 0x575e66f3ad877892 + .quad 0x99803a27c88fcb3a + .quad 0x345a6789275ec0b0 + .quad 0x459789d0ff6c2be5 + .quad 0x62f882651e70a8b2 + + // 2^244 * 6 * G + + .quad 0x085ae2c759ff1be4 + .quad 0x149145c93b0e40b7 + .quad 0xc467e7fa7ff27379 + .quad 0x4eeecf0ad5c73a95 + .quad 0x6d822986698a19e0 + .quad 0xdc9821e174d78a71 + .quad 0x41a85f31f6cb1f47 + .quad 0x352721c2bcda9c51 + .quad 0x48329952213fc985 + .quad 0x1087cf0d368a1746 + .quad 0x8e5261b166c15aa5 + .quad 0x2d5b2d842ed24c21 + + // 2^244 * 7 * G + + .quad 0x02cfebd9ebd3ded1 + .quad 0xd45b217739021974 + .quad 0x7576f813fe30a1b7 + .quad 0x5691b6f9a34ef6c2 + .quad 0x5eb7d13d196ac533 + .quad 0x377234ecdb80be2b + .quad 0xe144cffc7cf5ae24 + .quad 0x5226bcf9c441acec + .quad 0x79ee6c7223e5b547 + .quad 0x6f5f50768330d679 + .quad 0xed73e1e96d8adce9 + .quad 0x27c3da1e1d8ccc03 + + // 2^244 * 8 * G + + .quad 0x7eb9efb23fe24c74 + .quad 0x3e50f49f1651be01 + .quad 0x3ea732dc21858dea + .quad 0x17377bd75bb810f9 + .quad 0x28302e71630ef9f6 + .quad 0xc2d4a2032b64cee0 + .quad 0x090820304b6292be + .quad 0x5fca747aa82adf18 + .quad 0x232a03c35c258ea5 + .quad 0x86f23a2c6bcb0cf1 + .quad 0x3dad8d0d2e442166 + .quad 0x04a8933cab76862b + + // 2^248 * 1 * G + + .quad 0xd2c604b622943dff + .quad 0xbc8cbece44cfb3a0 + .quad 0x5d254ff397808678 + .quad 0x0fa3614f3b1ca6bf + .quad 0x69082b0e8c936a50 + .quad 0xf9c9a035c1dac5b6 + .quad 0x6fb73e54c4dfb634 + .quad 0x4005419b1d2bc140 + .quad 0xa003febdb9be82f0 + .quad 0x2089c1af3a44ac90 + .quad 0xf8499f911954fa8e + .quad 0x1fba218aef40ab42 + + // 2^248 * 2 * G + + .quad 0xab549448fac8f53e + .quad 0x81f6e89a7ba63741 + .quad 0x74fd6c7d6c2b5e01 + .quad 0x392e3acaa8c86e42 + .quad 0x4f3e57043e7b0194 + .quad 0xa81d3eee08daaf7f + .quad 0xc839c6ab99dcdef1 + .quad 0x6c535d13ff7761d5 + .quad 0x4cbd34e93e8a35af + .quad 0x2e0781445887e816 + .quad 0x19319c76f29ab0ab + .quad 0x25e17fe4d50ac13b + + // 2^248 * 3 * G + + .quad 0x0a289bd71e04f676 + .quad 0x208e1c52d6420f95 + .quad 0x5186d8b034691fab + .quad 0x255751442a9fb351 + .quad 0x915f7ff576f121a7 + .quad 0xc34a32272fcd87e3 + .quad 0xccba2fde4d1be526 + .quad 0x6bba828f8969899b + .quad 0xe2d1bc6690fe3901 + .quad 0x4cb54a18a0997ad5 + .quad 0x971d6914af8460d4 + .quad 0x559d504f7f6b7be4 + + // 2^248 * 4 * G + + .quad 0xa7738378b3eb54d5 + .quad 0x1d69d366a5553c7c + .quad 0x0a26cf62f92800ba + .quad 0x01ab12d5807e3217 + .quad 0x9c4891e7f6d266fd + .quad 0x0744a19b0307781b + .quad 0x88388f1d6061e23b + .quad 0x123ea6a3354bd50e + .quad 0x118d189041e32d96 + .quad 0xb9ede3c2d8315848 + .quad 0x1eab4271d83245d9 + .quad 0x4a3961e2c918a154 + + // 2^248 * 5 * G + + .quad 0x71dc3be0f8e6bba0 + .quad 0xd6cef8347effe30a + .quad 0xa992425fe13a476a + .quad 0x2cd6bce3fb1db763 + .quad 0x0327d644f3233f1e + .quad 0x499a260e34fcf016 + .quad 0x83b5a716f2dab979 + .quad 0x68aceead9bd4111f + .quad 0x38b4c90ef3d7c210 + .quad 0x308e6e24b7ad040c + .quad 0x3860d9f1b7e73e23 + .quad 0x595760d5b508f597 + + // 2^248 * 6 * G + + .quad 0x6129bfe104aa6397 + .quad 0x8f960008a4a7fccb + .quad 0x3f8bc0897d909458 + .quad 0x709fa43edcb291a9 + .quad 0x882acbebfd022790 + .quad 0x89af3305c4115760 + .quad 0x65f492e37d3473f4 + .quad 0x2cb2c5df54515a2b + .quad 0xeb0a5d8c63fd2aca + .quad 0xd22bc1662e694eff + .quad 0x2723f36ef8cbb03a + .quad 0x70f029ecf0c8131f + + // 2^248 * 7 * G + + .quad 0x461307b32eed3e33 + .quad 0xae042f33a45581e7 + .quad 0xc94449d3195f0366 + .quad 0x0b7d5d8a6c314858 + .quad 0x2a6aafaa5e10b0b9 + .quad 0x78f0a370ef041aa9 + .quad 0x773efb77aa3ad61f + .quad 0x44eca5a2a74bd9e1 + .quad 0x25d448327b95d543 + .quad 0x70d38300a3340f1d + .quad 0xde1c531c60e1c52b + .quad 0x272224512c7de9e4 + + // 2^248 * 8 * G + + .quad 0x1abc92af49c5342e + .quad 0xffeed811b2e6fad0 + .quad 0xefa28c8dfcc84e29 + .quad 0x11b5df18a44cc543 + .quad 0xbf7bbb8a42a975fc + .quad 0x8c5c397796ada358 + .quad 0xe27fc76fcdedaa48 + .quad 0x19735fd7f6bc20a6 + .quad 0xe3ab90d042c84266 + .quad 0xeb848e0f7f19547e + .quad 0x2503a1d065a497b9 + .quad 0x0fef911191df895f diff --git a/cbits/s2n/x86_att/edwards25519_scalarmulbase_alt.S b/cbits/s2n/x86_att/edwards25519_scalarmulbase_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/edwards25519_scalarmulbase_alt.S @@ -0,0 +1,10002 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Scalar multiplication for the edwards25519 standard basepoint +// Input scalar[4]; output res[8] +// +// extern void edwards25519_scalarmulbase_alt +// (uint64_t res[static 8],const uint64_t scalar[static 4]); +// +// Given a scalar n, returns point (X,Y) = n * B where B = (...,4/5) is +// the standard basepoint for the edwards25519 (Ed25519) curve. +// +// Standard x86-64 ABI: RDI = res, RSI = scalar +// Microsoft x64 ABI: RCX = res, RDX = scalar +// ---------------------------------------------------------------------------- +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(edwards25519_scalarmulbase_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(edwards25519_scalarmulbase_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(edwards25519_scalarmulbase_alt) + + .text + .balign 32 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Pointer-offset pairs for result and temporaries on stack with some aliasing. +// The result "resx" assumes the "res" pointer has been preloaded into %rbp. + +#define resx (0*NUMSIZE)(%rbp) +#define resy (1*NUMSIZE)(%rbp) + +#define scalar (0*NUMSIZE)(%rsp) + +#define tabent (1*NUMSIZE)(%rsp) +#define ymx_2 (1*NUMSIZE)(%rsp) +#define xpy_2 (2*NUMSIZE)(%rsp) +#define kxy_2 (3*NUMSIZE)(%rsp) + +#define t0 (4*NUMSIZE)(%rsp) +#define t1 (5*NUMSIZE)(%rsp) +#define t2 (6*NUMSIZE)(%rsp) +#define t3 (7*NUMSIZE)(%rsp) +#define t4 (8*NUMSIZE)(%rsp) +#define t5 (9*NUMSIZE)(%rsp) + +#define acc (10*NUMSIZE)(%rsp) +#define x_1 (10*NUMSIZE)(%rsp) +#define y_1 (11*NUMSIZE)(%rsp) +#define z_1 (12*NUMSIZE)(%rsp) +#define w_1 (13*NUMSIZE)(%rsp) +#define x_3 (10*NUMSIZE)(%rsp) +#define y_3 (11*NUMSIZE)(%rsp) +#define z_3 (12*NUMSIZE)(%rsp) +#define w_3 (13*NUMSIZE)(%rsp) + +// Stable homes for the input result pointer, and other variables + +#define res 14*NUMSIZE(%rsp) + +#define i 14*NUMSIZE+8(%rsp) + +#define bias 14*NUMSIZE+16(%rsp) + +#define bf 14*NUMSIZE+24(%rsp) +#define ix 14*NUMSIZE+24(%rsp) + +#define tab 15*NUMSIZE(%rsp) + +// Total size to reserve on the stack + +#define NSPACE 488 + +// Syntactic variants to make x86_att version simpler to generate + +#define SCALAR 0 +#define TABENT (1*NUMSIZE) +#define ACC (10*NUMSIZE) +#define X3 (10*NUMSIZE) +#define Z3 (12*NUMSIZE) +#define W3 (13*NUMSIZE) + +// Macro wrapping up the basic field multiplication, only trivially +// different from a pure function call to bignum_mul_p25519_alt. + +#define mul_p25519(P0,P1,P2) \ + movq P1, %rax ; \ + mulq P2; \ + movq %rax, %r8 ; \ + movq %rdx, %r9 ; \ + xorq %r10, %r10 ; \ + xorq %r11, %r11 ; \ + movq P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + movq 0x8+P1, %rax ; \ + mulq P2; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + adcq $0x0, %r11 ; \ + xorq %r12, %r12 ; \ + movq P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq %r12, %r12 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq $0x0, %r12 ; \ + movq 0x10+P1, %rax ; \ + mulq P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq $0x0, %r12 ; \ + xorq %r13, %r13 ; \ + movq P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq %r13, %r13 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + movq 0x18+P1, %rax ; \ + mulq P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + xorq %r14, %r14 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq %r14, %r14 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq $0x0, %r14 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq $0x0, %r14 ; \ + xorq %r15, %r15 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + adcq %r15, %r15 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + adcq $0x0, %r15 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r14 ; \ + adcq %rdx, %r15 ; \ + movl $0x26, %esi ; \ + movq %r12, %rax ; \ + mulq %rsi; \ + addq %rax, %r8 ; \ + adcq %rdx, %r9 ; \ + sbbq %rcx, %rcx ; \ + movq %r13, %rax ; \ + mulq %rsi; \ + subq %rcx, %rdx ; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + sbbq %rcx, %rcx ; \ + movq %r14, %rax ; \ + mulq %rsi; \ + subq %rcx, %rdx ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %rcx, %rcx ; \ + movq %r15, %rax ; \ + mulq %rsi; \ + subq %rcx, %rdx ; \ + xorq %rcx, %rcx ; \ + addq %rax, %r11 ; \ + movq %rdx, %r12 ; \ + adcq %rcx, %r12 ; \ + shldq $0x1, %r11, %r12 ; \ + leaq 0x1(%r12), %rax ; \ + movl $0x13, %esi ; \ + bts $63, %r11 ; \ + imulq %rsi, %rax ; \ + addq %rax, %r8 ; \ + adcq %rcx, %r9 ; \ + adcq %rcx, %r10 ; \ + adcq %rcx, %r11 ; \ + sbbq %rax, %rax ; \ + notq %rax; \ + andq %rsi, %rax ; \ + subq %rax, %r8 ; \ + sbbq %rcx, %r9 ; \ + sbbq %rcx, %r10 ; \ + sbbq %rcx, %r11 ; \ + btr $63, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// A version of multiplication that only guarantees output < 2 * p_25519. +// This basically skips the +1 and final correction in quotient estimation. + +#define mul_4(P0,P1,P2) \ + movq P1, %rax ; \ + mulq P2; \ + movq %rax, %r8 ; \ + movq %rdx, %r9 ; \ + xorq %r10, %r10 ; \ + xorq %r11, %r11 ; \ + movq P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + movq 0x8+P1, %rax ; \ + mulq P2; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + adcq $0x0, %r11 ; \ + xorq %r12, %r12 ; \ + movq P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq %r12, %r12 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq $0x0, %r12 ; \ + movq 0x10+P1, %rax ; \ + mulq P2; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + adcq $0x0, %r12 ; \ + xorq %r13, %r13 ; \ + movq P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq %r13, %r13 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + movq 0x18+P1, %rax ; \ + mulq P2; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + adcq $0x0, %r13 ; \ + xorq %r14, %r14 ; \ + movq 0x8+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq %r14, %r14 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq $0x0, %r14 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x8+P2; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq $0x0, %r14 ; \ + xorq %r15, %r15 ; \ + movq 0x10+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + adcq %r15, %r15 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x10+P2; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + adcq $0x0, %r15 ; \ + movq 0x18+P1, %rax ; \ + mulq 0x18+P2; \ + addq %rax, %r14 ; \ + adcq %rdx, %r15 ; \ + movl $0x26, %ebx ; \ + movq %r12, %rax ; \ + mulq %rbx; \ + addq %rax, %r8 ; \ + adcq %rdx, %r9 ; \ + sbbq %rcx, %rcx ; \ + movq %r13, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + sbbq %rcx, %rcx ; \ + movq %r14, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %rcx, %rcx ; \ + movq %r15, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + xorq %rcx, %rcx ; \ + addq %rax, %r11 ; \ + movq %rdx, %r12 ; \ + adcq %rcx, %r12 ; \ + shldq $0x1, %r11, %r12 ; \ + btr $0x3f, %r11 ; \ + movl $0x13, %edx ; \ + imulq %r12, %rdx ; \ + addq %rdx, %r8 ; \ + adcq %rcx, %r9 ; \ + adcq %rcx, %r10 ; \ + adcq %rcx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +// Modular subtraction with double modulus 2 * p_25519 = 2^256 - 38 + +#define sub_twice4(P0,P1,P2) \ + movq P1, %r8 ; \ + xorl %ebx, %ebx ; \ + subq P2, %r8 ; \ + movq 8+P1, %r9 ; \ + sbbq 8+P2, %r9 ; \ + movl $38, %ecx ; \ + movq 16+P1, %r10 ; \ + sbbq 16+P2, %r10 ; \ + movq 24+P1, %rax ; \ + sbbq 24+P2, %rax ; \ + cmovncq %rbx, %rcx ; \ + subq %rcx, %r8 ; \ + sbbq %rbx, %r9 ; \ + sbbq %rbx, %r10 ; \ + sbbq %rbx, %rax ; \ + movq %r8, P0 ; \ + movq %r9, 8+P0 ; \ + movq %r10, 16+P0 ; \ + movq %rax, 24+P0 + +// Modular addition and doubling with double modulus 2 * p_25519 = 2^256 - 38. +// This only ensures that the result fits in 4 digits, not that it is reduced +// even w.r.t. double modulus. The result is always correct modulo provided +// the sum of the inputs is < 2^256 + 2^256 - 38, so in particular provided +// at least one of them is reduced double modulo. + +#define add_twice4(P0,P1,P2) \ + movq P1, %r8 ; \ + xorl %ecx, %ecx ; \ + addq P2, %r8 ; \ + movq 0x8+P1, %r9 ; \ + adcq 0x8+P2, %r9 ; \ + movq 0x10+P1, %r10 ; \ + adcq 0x10+P2, %r10 ; \ + movq 0x18+P1, %r11 ; \ + adcq 0x18+P2, %r11 ; \ + movl $38, %eax ; \ + cmovncq %rcx, %rax ; \ + addq %rax, %r8 ; \ + adcq %rcx, %r9 ; \ + adcq %rcx, %r10 ; \ + adcq %rcx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +#define double_twice4(P0,P1) \ + movq P1, %r8 ; \ + xorl %ecx, %ecx ; \ + addq %r8, %r8 ; \ + movq 0x8+P1, %r9 ; \ + adcq %r9, %r9 ; \ + movq 0x10+P1, %r10 ; \ + adcq %r10, %r10 ; \ + movq 0x18+P1, %r11 ; \ + adcq %r11, %r11 ; \ + movl $38, %eax ; \ + cmovncq %rcx, %rax ; \ + addq %rax, %r8 ; \ + adcq %rcx, %r9 ; \ + adcq %rcx, %r10 ; \ + adcq %rcx, %r11 ; \ + movq %r8, P0 ; \ + movq %r9, 0x8+P0 ; \ + movq %r10, 0x10+P0 ; \ + movq %r11, 0x18+P0 + +S2N_BN_SYMBOL(edwards25519_scalarmulbase_alt): + CFI_START + _CET_ENDBR + +// In this case the Windows form literally makes a subroutine call. +// This avoids hassle arising from keeping code and data together. + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + CFI_CALL(Ledwards25519_scalarmulbase_alt_standard) + CFI_POP(%rsi) + CFI_POP(%rdi) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(edwards25519_scalarmulbase_alt) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Ledwards25519_scalarmulbase_alt_standard) + +Ledwards25519_scalarmulbase_alt_standard: + CFI_START +#endif + +// Save registers, make room for temps, preserve input arguments. + + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(NSPACE) + +// Move the output pointer to a stable place + + movq %rdi, res + +// Copy the input scalar x to its local variable while reducing it +// modulo 2^252 + m where m = 27742317777372353535851937790883648493; +// this is the order of the basepoint so this doesn't change the result. +// First do q = floor(x/2^252) and x' = x - q * (2^252 + m), which gives +// an initial result -15 * m <= x' < 2^252 + + movq (%rsi), %r8 + movq 8(%rsi), %r9 + movq 16(%rsi), %r10 + movq 24(%rsi), %r11 + + movq %r11, %rcx + shrq $60, %rcx + + movq $0x5812631a5cf5d3ed, %rax + mulq %rcx + movq %rax, %r12 + movq %rdx, %r13 + movq $0x14def9dea2f79cd6, %rax + mulq %rcx + addq %rax, %r13 + adcq $0, %rdx + shlq $60, %rcx + + subq %r12, %r8 + sbbq %r13, %r9 + sbbq %rdx, %r10 + sbbq %rcx, %r11 + +// If x' < 0 then just directly negate it; this makes sure the +// reduced argument is strictly 0 <= x' < 2^252, but now we need +// to record (done via bit 255 of the reduced scalar, which is +// ignored in the main loop) when we negated so we can flip +// the end result to compensate. + + sbbq %rax, %rax + + xorq %rax, %r8 + xorq %rax, %r9 + xorq %rax, %r10 + xorq %rax, %r11 + + negq %rax + adcq $0, %r8 + adcq $0, %r9 + adcq $0, %r10 + adcq $0, %r11 + + shlq $63, %rax + orq %rax, %r11 + +// And before we store the scalar, test and reset bit 251 to +// initialize the main loop just below. + + movq %r8, SCALAR(%rsp) + movq %r9, SCALAR+8(%rsp) + movq %r10, SCALAR+16(%rsp) + btr $59, %r11 + movq %r11, SCALAR+24(%rsp) + +// The main part of the computation is in extended-projective coordinates +// (X,Y,Z,T), representing an affine point on the edwards25519 curve +// (x,y) via x = X/Z, y = Y/Z and x * y = T/Z (so X * Y = T * Z). +// In comments B means the standard basepoint (x,4/5) = +// (0x216....f25d51a,0x6666..666658). +// +// Initialize accumulator "acc" to either 0 or 2^251 * B depending on +// bit 251 of the (reduced) scalar. That leaves bits 0..250 to handle. + + leaq S2N_BN_SYMBOL(edwards25519_scalarmulbase_alt_constant)(%rip), %r10 + leaq 8*12(%r10), %r11 + + movq (%r10), %rax + movq (%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC(%rsp) + + movq 8*1(%r10), %rax + movq 8*1(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+8(%rsp) + + movq 8*2(%r10), %rax + movq 8*2(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+16(%rsp) + + movq 8*3(%r10), %rax + movq 8*3(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+24(%rsp) + + movq 8*4(%r10), %rax + movq 8*4(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+32(%rsp) + + movq 8*5(%r10), %rax + movq 8*5(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+40(%rsp) + + movq 8*6(%r10), %rax + movq 8*6(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+48(%rsp) + + movq 8*7(%r10), %rax + movq 8*7(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+56(%rsp) + + movl $1, %eax + movq %rax, ACC+64(%rsp) + movl $0, %eax + movq %rax, ACC+72(%rsp) + movq %rax, ACC+80(%rsp) + movq %rax, ACC+88(%rsp) + + movq 8*8(%r10), %rax + movq 8*8(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+96(%rsp) + + movq 8*9(%r10), %rax + movq 8*9(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+104(%rsp) + + movq 8*10(%r10), %rax + movq 8*10(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+112(%rsp) + + movq 8*11(%r10), %rax + movq 8*11(%r11), %rcx + cmovcq %rcx, %rax + movq %rax, ACC+120(%rsp) + +// The counter "i" tracks the bit position for which the scalar has +// already been absorbed, starting at 0 and going up in chunks of 4. +// +// The pointer "tab" points at the current block of the table for +// multiples (2^i * j) * B at the current bit position i; 1 <= j <= 8. +// +// The bias is always either 0 and 1 and needs to be added to the +// partially processed scalar implicitly. This is used to absorb 4 bits +// of scalar per iteration from 3-bit table indexing by exploiting +// negation: (16 * h + l) * B = (16 * (h + 1) - (16 - l)) * B is used +// when l >= 9. Note that we can't have any bias left over at the +// end because we made sure bit 251 is clear in the reduced scalar. + + movq $0, i + leaq 8*24(%r10), %rax + movq %rax, tab + movq $0, bias + +// Start of the main loop, repeated 63 times for i = 4, 8, ..., 252 + +Ledwards25519_scalarmulbase_alt_scalarloop: + +// Look at the next 4-bit field "bf", adding the previous bias as well. +// Choose the table index "ix" as bf when bf <= 8 and 16 - bf for bf >= 9, +// setting the bias to 1 for the next iteration in the latter case. + + movq i, %rax + movq %rax, %rcx + shrq $6, %rax + movq (%rsp,%rax,8), %rax // Exploiting scalar = sp exactly + shrq %cl, %rax + andq $15, %rax + addq bias, %rax + movq %rax, bf + + cmpq $9, bf + sbbq %rax, %rax + incq %rax + movq %rax, bias + + movq $16, %rdi + subq bf, %rdi + cmpq $0, bias + cmovzq bf, %rdi + movq %rdi, ix + +// Perform constant-time lookup in the table to get element number "ix". +// The table entry for the affine point (x,y) is actually a triple +// (y - x,x + y,2 * d * x * y) to precompute parts of the addition. +// Note that "ix" can be 0, so we set up the appropriate identity first. + + movl $1, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + movl $1, %r8d + xorl %r9d, %r9d + xorl %r10d, %r10d + xorl %r11d, %r11d + xorl %r12d, %r12d + xorl %r13d, %r13d + xorl %r14d, %r14d + xorl %r15d, %r15d + + movq tab, %rbp + + cmpq $1, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $2, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $3, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $4, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $5, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $6, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $7, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + addq $96, %rbp + + cmpq $8, ix + movq (%rbp), %rsi + cmovzq %rsi, %rax + movq 8(%rbp), %rsi + cmovzq %rsi, %rbx + movq 16(%rbp), %rsi + cmovzq %rsi, %rcx + movq 24(%rbp), %rsi + cmovzq %rsi, %rdx + movq 32(%rbp), %rsi + cmovzq %rsi, %r8 + movq 40(%rbp), %rsi + cmovzq %rsi, %r9 + movq 48(%rbp), %rsi + cmovzq %rsi, %r10 + movq 56(%rbp), %rsi + cmovzq %rsi, %r11 + movq 64(%rbp), %rsi + cmovzq %rsi, %r12 + movq 72(%rbp), %rsi + cmovzq %rsi, %r13 + movq 80(%rbp), %rsi + cmovzq %rsi, %r14 + movq 88(%rbp), %rsi + cmovzq %rsi, %r15 + + addq $96, %rbp + movq %rbp, tab + +// We now have the triple from the table in registers as follows +// +// [%rdx;%rcx;%rbx;%rax] = y - x +// [%r11;%r10;%r9;%r8] = x + y +// [%r15;%r14;%r13;%r12] = 2 * d * x * y +// +// In case bias = 1 we need to negate this. For Edwards curves +// -(x,y) = (-x,y), i.e. we need to negate the x coordinate. +// In this processed encoding, that amounts to swapping the +// first two fields and negating the third. +// +// The optional negation here also pretends bias = 0 whenever +// ix = 0 so that it doesn't need to handle the case of zero +// inputs, since no non-trivial table entries are zero. Note +// that in the zero case the whole negation is trivial, and +// so indeed is the swapping. + + cmpq $0, bias + + movq %rax, %rsi + cmovnzq %r8, %rsi + cmovnzq %rax, %r8 + movq %rsi, TABENT(%rsp) + movq %r8, TABENT+32(%rsp) + + movq %rbx, %rsi + cmovnzq %r9, %rsi + cmovnzq %rbx, %r9 + movq %rsi, TABENT+8(%rsp) + movq %r9, TABENT+40(%rsp) + + movq %rcx, %rsi + cmovnzq %r10, %rsi + cmovnzq %rcx, %r10 + movq %rsi, TABENT+16(%rsp) + movq %r10, TABENT+48(%rsp) + + movq %rdx, %rsi + cmovnzq %r11, %rsi + cmovnzq %rdx, %r11 + movq %rsi, TABENT+24(%rsp) + movq %r11, TABENT+56(%rsp) + + movq $-19, %rax + movq $-1, %rbx + movq $-1, %rcx + movq $0x7fffffffffffffff, %rdx + subq %r12, %rax + sbbq %r13, %rbx + sbbq %r14, %rcx + sbbq %r15, %rdx + + movq ix, %r8 + movq bias, %r9 + testq %r8, %r8 + cmovzq %r8, %r9 + testq %r9, %r9 + + cmovzq %r12, %rax + cmovzq %r13, %rbx + cmovzq %r14, %rcx + cmovzq %r15, %rdx + movq %rax, TABENT+64(%rsp) + movq %rbx, TABENT+72(%rsp) + movq %rcx, TABENT+80(%rsp) + movq %rdx, TABENT+88(%rsp) + +// Extended-projective and precomputed mixed addition. +// This is effectively the same as calling the standalone +// function edwards25519_pepadd(acc,acc,tabent), but we +// only retain slightly weaker normalization < 2 * p_25519 +// throughout the inner loop, so the computation is +// slightly different, and faster overall. + + double_twice4(t0,z_1) + sub_twice4(t1,y_1,x_1) + add_twice4(t2,y_1,x_1) + mul_4(t3,w_1,kxy_2) + mul_4(t1,t1,ymx_2) + mul_4(t2,t2,xpy_2) + sub_twice4(t4,t0,t3) + add_twice4(t0,t0,t3) + sub_twice4(t5,t2,t1) + add_twice4(t1,t2,t1) + mul_4(z_3,t4,t0) + mul_4(x_3,t5,t4) + mul_4(y_3,t0,t1) + mul_4(w_3,t5,t1) + +// End of the main loop; move on by 4 bits. + + addq $4, i + cmpq $252, i + jc Ledwards25519_scalarmulbase_alt_scalarloop + +// Insert the optional negation of the projective X coordinate, and +// so by extension the final affine x coordinate x = X/Z and thus +// the point P = (x,y). We only know X < 2 * p_25519, so we do the +// negation as 2 * p_25519 - X to keep it nonnegative. From this +// point on we don't need any normalization of the coordinates +// except for making sure that they fit in 4 digits. + + movq X3(%rsp), %r8 + movq X3+8(%rsp), %r9 + movq X3+16(%rsp), %r10 + movq X3+24(%rsp), %r11 + movq $0xffffffffffffffda, %r12 + subq %r8, %r12 + movq $0xffffffffffffffff, %r13 + sbbq %r9, %r13 + movq $0xffffffffffffffff, %r14 + sbbq %r10, %r14 + movq $0xffffffffffffffff, %r15 + sbbq %r11, %r15 + movq SCALAR+24(%rsp), %rax + btq $63, %rax + cmovcq %r12, %r8 + cmovcq %r13, %r9 + cmovcq %r14, %r10 + cmovcq %r15, %r11 + movq %r8, X3(%rsp) + movq %r9, X3+8(%rsp) + movq %r10, X3+16(%rsp) + movq %r11, X3+24(%rsp) + +// Now we need to map out of the extended-projective representation +// (X,Y,Z,W) back to the affine form (x,y) = (X/Z,Y/Z). This means +// first calling the modular inverse to get w_3 = 1/z_3. + + leaq W3(%rsp), %rdi + leaq Z3(%rsp), %rsi + +// Inline copy of bignum_inv_p25519, identical except for stripping out +// the prologue and epilogue saving and restoring registers and making +// and reclaiming room on the stack. For more details and explanations see +// "x86/curve25519/bignum_inv_p25519.S". Note that the stack it uses for +// its own temporaries is 208 bytes, so it has no effect on variables +// that are needed in the rest of our computation here: res, x_3, y_3, +// z_3 and w_3. + + movq %rdi, 0xc0(%rsp) + xorl %eax, %eax + leaq -0x13(%rax), %rcx + notq %rax + movq %rcx, (%rsp) + movq %rax, 0x8(%rsp) + movq %rax, 0x10(%rsp) + btr $0x3f, %rax + movq %rax, 0x18(%rsp) + movq (%rsi), %rdx + movq 0x8(%rsi), %rcx + movq 0x10(%rsi), %r8 + movq 0x18(%rsi), %r9 + movl $0x1, %eax + xorl %r10d, %r10d + bts $0x3f, %r9 + adcq %r10, %rax + imulq $0x13, %rax, %rax + addq %rax, %rdx + adcq %r10, %rcx + adcq %r10, %r8 + adcq %r10, %r9 + movl $0x13, %eax + cmovbq %r10, %rax + subq %rax, %rdx + sbbq %r10, %rcx + sbbq %r10, %r8 + sbbq %r10, %r9 + btr $0x3f, %r9 + movq %rdx, 0x20(%rsp) + movq %rcx, 0x28(%rsp) + movq %r8, 0x30(%rsp) + movq %r9, 0x38(%rsp) + xorl %eax, %eax + movq %rax, 0x40(%rsp) + movq %rax, 0x48(%rsp) + movq %rax, 0x50(%rsp) + movq %rax, 0x58(%rsp) + movabsq $0xa0f99e2375022099, %rax + movq %rax, 0x60(%rsp) + movabsq $0xa8c68f3f1d132595, %rax + movq %rax, 0x68(%rsp) + movabsq $0x6c6c893805ac5242, %rax + movq %rax, 0x70(%rsp) + movabsq $0x276508b241770615, %rax + movq %rax, 0x78(%rsp) + movq $0xa, 0x90(%rsp) + movq $0x1, 0x98(%rsp) + jmp Ledwards25519_scalarmulbase_alt_midloop +Ledwards25519_scalarmulbase_alt_inverseloop: + movq %r8, %r9 + sarq $0x3f, %r9 + xorq %r9, %r8 + subq %r9, %r8 + movq %r10, %r11 + sarq $0x3f, %r11 + xorq %r11, %r10 + subq %r11, %r10 + movq %r12, %r13 + sarq $0x3f, %r13 + xorq %r13, %r12 + subq %r13, %r12 + movq %r14, %r15 + sarq $0x3f, %r15 + xorq %r15, %r14 + subq %r15, %r14 + movq %r8, %rax + andq %r9, %rax + movq %r10, %rdi + andq %r11, %rdi + addq %rax, %rdi + movq %rdi, 0x80(%rsp) + movq %r12, %rax + andq %r13, %rax + movq %r14, %rsi + andq %r15, %rsi + addq %rax, %rsi + movq %rsi, 0x88(%rsp) + xorl %ebx, %ebx + movq (%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rdi + adcq %rdx, %rbx + movq 0x20(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rdi + adcq %rdx, %rbx + xorl %ebp, %ebp + movq (%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x20(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + xorl %ecx, %ecx + movq 0x8(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x28(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + shrdq $0x3b, %rbx, %rdi + movq %rdi, (%rsp) + xorl %edi, %edi + movq 0x8(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rbp + adcq %rdx, %rdi + movq 0x28(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rdi + shrdq $0x3b, %rbp, %rsi + movq %rsi, 0x20(%rsp) + xorl %esi, %esi + movq 0x10(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rsi + movq 0x30(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rsi + shrdq $0x3b, %rcx, %rbx + movq %rbx, 0x8(%rsp) + xorl %ebx, %ebx + movq 0x10(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rdi + adcq %rdx, %rbx + movq 0x30(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rdi + adcq %rdx, %rbx + shrdq $0x3b, %rdi, %rbp + movq %rbp, 0x28(%rsp) + movq 0x18(%rsp), %rax + xorq %r9, %rax + movq %rax, %rbp + sarq $0x3f, %rbp + andq %r8, %rbp + negq %rbp + mulq %r8 + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x38(%rsp), %rax + xorq %r11, %rax + movq %rax, %rdx + sarq $0x3f, %rdx + andq %r10, %rdx + subq %rdx, %rbp + mulq %r10 + addq %rax, %rsi + adcq %rdx, %rbp + shrdq $0x3b, %rsi, %rcx + movq %rcx, 0x10(%rsp) + shrdq $0x3b, %rbp, %rsi + movq 0x18(%rsp), %rax + movq %rsi, 0x18(%rsp) + xorq %r13, %rax + movq %rax, %rsi + sarq $0x3f, %rsi + andq %r12, %rsi + negq %rsi + mulq %r12 + addq %rax, %rbx + adcq %rdx, %rsi + movq 0x38(%rsp), %rax + xorq %r15, %rax + movq %rax, %rdx + sarq $0x3f, %rdx + andq %r14, %rdx + subq %rdx, %rsi + mulq %r14 + addq %rax, %rbx + adcq %rdx, %rsi + shrdq $0x3b, %rbx, %rdi + movq %rdi, 0x30(%rsp) + shrdq $0x3b, %rsi, %rbx + movq %rbx, 0x38(%rsp) + movq 0x80(%rsp), %rbx + movq 0x88(%rsp), %rbp + xorl %ecx, %ecx + movq 0x40(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x60(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + xorl %esi, %esi + movq 0x40(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, 0x40(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq 0x60(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, 0x60(%rsp) + xorl %ebx, %ebx + movq 0x48(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq 0x68(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rbx + xorl %ebp, %ebp + movq 0x48(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rcx, 0x48(%rsp) + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x68(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + movq %rsi, 0x68(%rsp) + xorl %ecx, %ecx + movq 0x50(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x70(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + xorl %esi, %esi + movq 0x50(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, 0x50(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq 0x70(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, 0x70(%rsp) + movq 0x58(%rsp), %rax + xorq %r9, %rax + movq %r9, %rbx + andq %r8, %rbx + negq %rbx + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq 0x78(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %rbx + mulq %r10 + addq %rax, %rcx + adcq %rbx, %rdx + movq %rdx, %rbx + shldq $0x1, %rcx, %rdx + sarq $0x3f, %rbx + addq %rbx, %rdx + movl $0x13, %eax + imulq %rdx + movq 0x40(%rsp), %r8 + addq %rax, %r8 + movq %r8, 0x40(%rsp) + movq 0x48(%rsp), %r8 + adcq %rdx, %r8 + movq %r8, 0x48(%rsp) + movq 0x50(%rsp), %r8 + adcq %rbx, %r8 + movq %r8, 0x50(%rsp) + adcq %rbx, %rcx + shlq $0x3f, %rax + addq %rax, %rcx + movq 0x58(%rsp), %rax + movq %rcx, 0x58(%rsp) + xorq %r13, %rax + movq %r13, %rcx + andq %r12, %rcx + negq %rcx + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rcx + movq 0x78(%rsp), %rax + xorq %r15, %rax + movq %r15, %rdx + andq %r14, %rdx + subq %rdx, %rcx + mulq %r14 + addq %rax, %rsi + adcq %rcx, %rdx + movq %rdx, %rcx + shldq $0x1, %rsi, %rdx + sarq $0x3f, %rcx + movl $0x13, %eax + addq %rcx, %rdx + imulq %rdx + movq 0x60(%rsp), %r8 + addq %rax, %r8 + movq %r8, 0x60(%rsp) + movq 0x68(%rsp), %r8 + adcq %rdx, %r8 + movq %r8, 0x68(%rsp) + movq 0x70(%rsp), %r8 + adcq %rcx, %r8 + movq %r8, 0x70(%rsp) + adcq %rcx, %rsi + shlq $0x3f, %rax + addq %rax, %rsi + movq %rsi, 0x78(%rsp) +Ledwards25519_scalarmulbase_alt_midloop: + movq 0x98(%rsp), %rsi + movq (%rsp), %rdx + movq 0x20(%rsp), %rcx + movq %rdx, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq $0xfffffffffffffffe, %rax + xorl %ebp, %ebp + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %rdx + leaq (%rcx,%rax), %rdi + shlq $0x16, %rdx + shlq $0x16, %rdi + sarq $0x2b, %rdx + sarq $0x2b, %rdi + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %rbx + leaq (%rcx,%rax), %rcx + sarq $0x2a, %rbx + sarq $0x2a, %rcx + movq %rdx, 0xa0(%rsp) + movq %rbx, 0xa8(%rsp) + movq %rdi, 0xb0(%rsp) + movq %rcx, 0xb8(%rsp) + movq (%rsp), %r12 + imulq %r12, %rdi + imulq %rdx, %r12 + movq 0x20(%rsp), %r13 + imulq %r13, %rbx + imulq %rcx, %r13 + addq %rbx, %r12 + addq %rdi, %r13 + sarq $0x14, %r12 + sarq $0x14, %r13 + movq %r12, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + movq %r13, %rcx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq $0xfffffffffffffffe, %rax + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %r8 + leaq (%rcx,%rax), %r10 + shlq $0x16, %r8 + shlq $0x16, %r10 + sarq $0x2b, %r8 + sarq $0x2b, %r10 + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %r15 + leaq (%rcx,%rax), %r11 + sarq $0x2a, %r15 + sarq $0x2a, %r11 + movq %r13, %rbx + movq %r12, %rcx + imulq %r8, %r12 + imulq %r15, %rbx + addq %rbx, %r12 + imulq %r11, %r13 + imulq %r10, %rcx + addq %rcx, %r13 + sarq $0x14, %r12 + sarq $0x14, %r13 + movq %r12, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + movq %r13, %rcx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq 0xa0(%rsp), %rax + imulq %r8, %rax + movq 0xb0(%rsp), %rdx + imulq %r15, %rdx + imulq 0xa8(%rsp), %r8 + imulq 0xb8(%rsp), %r15 + addq %r8, %r15 + leaq (%rax,%rdx), %r9 + movq 0xa0(%rsp), %rax + imulq %r10, %rax + movq 0xb0(%rsp), %rdx + imulq %r11, %rdx + imulq 0xa8(%rsp), %r10 + imulq 0xb8(%rsp), %r11 + addq %r10, %r11 + leaq (%rax,%rdx), %r13 + movq $0xfffffffffffffffe, %rax + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %r8 + leaq (%rcx,%rax), %r12 + shlq $0x15, %r8 + shlq $0x15, %r12 + sarq $0x2b, %r8 + sarq $0x2b, %r12 + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %r10 + leaq (%rcx,%rax), %r14 + sarq $0x2b, %r10 + sarq $0x2b, %r14 + movq %r9, %rax + imulq %r8, %rax + movq %r13, %rdx + imulq %r10, %rdx + imulq %r15, %r8 + imulq %r11, %r10 + addq %r8, %r10 + leaq (%rax,%rdx), %r8 + movq %r9, %rax + imulq %r12, %rax + movq %r13, %rdx + imulq %r14, %rdx + imulq %r15, %r12 + imulq %r11, %r14 + addq %r12, %r14 + leaq (%rax,%rdx), %r12 + movq %rsi, 0x98(%rsp) + decq 0x90(%rsp) + jne Ledwards25519_scalarmulbase_alt_inverseloop + movq (%rsp), %rax + movq 0x20(%rsp), %rcx + imulq %r8, %rax + imulq %r10, %rcx + addq %rcx, %rax + sarq $0x3f, %rax + movq %r8, %r9 + sarq $0x3f, %r9 + xorq %r9, %r8 + subq %r9, %r8 + xorq %rax, %r9 + movq %r10, %r11 + sarq $0x3f, %r11 + xorq %r11, %r10 + subq %r11, %r10 + xorq %rax, %r11 + movq %r12, %r13 + sarq $0x3f, %r13 + xorq %r13, %r12 + subq %r13, %r12 + xorq %rax, %r13 + movq %r14, %r15 + sarq $0x3f, %r15 + xorq %r15, %r14 + subq %r15, %r14 + xorq %rax, %r15 + movq %r8, %rax + andq %r9, %rax + movq %r10, %r12 + andq %r11, %r12 + addq %rax, %r12 + xorl %r13d, %r13d + movq 0x40(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x60(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movq 0x48(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r13 + adcq %rdx, %r14 + movq 0x68(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq 0x50(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x70(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x58(%rsp), %rax + xorq %r9, %rax + andq %r8, %r9 + negq %r9 + mulq %r8 + addq %rax, %r15 + adcq %rdx, %r9 + movq 0x78(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %r9 + mulq %r10 + addq %rax, %r15 + adcq %rdx, %r9 + movq %r9, %rax + shldq $0x1, %r15, %rax + sarq $0x3f, %r9 + movl $0x13, %ebx + leaq 0x1(%rax,%r9,1), %rax + imulq %rbx + xorl %ebp, %ebp + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r9, %r14 + adcq %r9, %r15 + shlq $0x3f, %rax + addq %rax, %r15 + cmovns %rbp, %rbx + subq %rbx, %r12 + sbbq %rbp, %r13 + sbbq %rbp, %r14 + sbbq %rbp, %r15 + btr $0x3f, %r15 + movq 0xc0(%rsp), %rdi + movq %r12, (%rdi) + movq %r13, 0x8(%rdi) + movq %r14, 0x10(%rdi) + movq %r15, 0x18(%rdi) + +// The final result is x = X * inv(Z), y = Y * inv(Z). +// These are the only operations in the whole computation that +// fully reduce modulo p_25519 since now we want the canonical +// answer as output. + + movq res, %rbp + mul_p25519(resx,x_3,w_3) + mul_p25519(resy,y_3,w_3) + +// Restore stack and registers + + CFI_INC_RSP(NSPACE) + + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +#if WINDOWS_ABI +S2N_BN_SIZE_DIRECTIVE(Ledwards25519_scalarmulbase_alt_standard) +#else +S2N_BN_SIZE_DIRECTIVE(edwards25519_scalarmulbase_alt) +#endif + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif + +// **************************************************************************** +// The precomputed data (all read-only). +// **************************************************************************** + +#if defined(__ELF__) +.section .rodata +.type S2N_BN_SYMBOL(edwards25519_scalarmulbase_alt_constant), %object +.size S2N_BN_SYMBOL(edwards25519_scalarmulbase_alt_constant), 48576 +#elif defined(__APPLE__) +.const_data +#endif + +S2N_BN_SYMBOL(edwards25519_scalarmulbase_alt_constant): + +// 0 * B = 0 and 2^251 * B in extended-projective coordinates +// but with Z = 1 assumed and hence left out, so they are (X,Y,T) only. + + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + + .quad 0x0000000000000001 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + + .quad 0x525f946d7c7220e7 + .quad 0x4636b0b2f1e35444 + .quad 0x796e9d70e892ae0f + .quad 0x03dec05fa937adb1 + .quad 0x6d1c271cc6375515 + .quad 0x462588c4a4ca4f14 + .quad 0x691129fee55afc39 + .quad 0x15949f784d8472f5 + .quad 0xbd89e510afad0049 + .quad 0x4d1f08c073b9860e + .quad 0x07716e8b2d00af9d + .quad 0x70d685f68f859714 + +// Precomputed table of multiples of generator for edwards25519 +// all in precomputed extended-projective (y-x,x+y,2*d*x*y) triples. + + // 2^0 * 1 * G + + .quad 0x9d103905d740913e + .quad 0xfd399f05d140beb3 + .quad 0xa5c18434688f8a09 + .quad 0x44fd2f9298f81267 + .quad 0x2fbc93c6f58c3b85 + .quad 0xcf932dc6fb8c0e19 + .quad 0x270b4898643d42c2 + .quad 0x07cf9d3a33d4ba65 + .quad 0xabc91205877aaa68 + .quad 0x26d9e823ccaac49e + .quad 0x5a1b7dcbdd43598c + .quad 0x6f117b689f0c65a8 + + // 2^0 * 2 * G + + .quad 0x8a99a56042b4d5a8 + .quad 0x8f2b810c4e60acf6 + .quad 0xe09e236bb16e37aa + .quad 0x6bb595a669c92555 + .quad 0x9224e7fc933c71d7 + .quad 0x9f469d967a0ff5b5 + .quad 0x5aa69a65e1d60702 + .quad 0x590c063fa87d2e2e + .quad 0x43faa8b3a59b7a5f + .quad 0x36c16bdd5d9acf78 + .quad 0x500fa0840b3d6a31 + .quad 0x701af5b13ea50b73 + + // 2^0 * 3 * G + + .quad 0x56611fe8a4fcd265 + .quad 0x3bd353fde5c1ba7d + .quad 0x8131f31a214bd6bd + .quad 0x2ab91587555bda62 + .quad 0xaf25b0a84cee9730 + .quad 0x025a8430e8864b8a + .quad 0xc11b50029f016732 + .quad 0x7a164e1b9a80f8f4 + .quad 0x14ae933f0dd0d889 + .quad 0x589423221c35da62 + .quad 0xd170e5458cf2db4c + .quad 0x5a2826af12b9b4c6 + + // 2^0 * 4 * G + + .quad 0x95fe050a056818bf + .quad 0x327e89715660faa9 + .quad 0xc3e8e3cd06a05073 + .quad 0x27933f4c7445a49a + .quad 0x287351b98efc099f + .quad 0x6765c6f47dfd2538 + .quad 0xca348d3dfb0a9265 + .quad 0x680e910321e58727 + .quad 0x5a13fbe9c476ff09 + .quad 0x6e9e39457b5cc172 + .quad 0x5ddbdcf9102b4494 + .quad 0x7f9d0cbf63553e2b + + // 2^0 * 5 * G + + .quad 0x7f9182c3a447d6ba + .quad 0xd50014d14b2729b7 + .quad 0xe33cf11cb864a087 + .quad 0x154a7e73eb1b55f3 + .quad 0xa212bc4408a5bb33 + .quad 0x8d5048c3c75eed02 + .quad 0xdd1beb0c5abfec44 + .quad 0x2945ccf146e206eb + .quad 0xbcbbdbf1812a8285 + .quad 0x270e0807d0bdd1fc + .quad 0xb41b670b1bbda72d + .quad 0x43aabe696b3bb69a + + // 2^0 * 6 * G + + .quad 0x499806b67b7d8ca4 + .quad 0x575be28427d22739 + .quad 0xbb085ce7204553b9 + .quad 0x38b64c41ae417884 + .quad 0x3a0ceeeb77157131 + .quad 0x9b27158900c8af88 + .quad 0x8065b668da59a736 + .quad 0x51e57bb6a2cc38bd + .quad 0x85ac326702ea4b71 + .quad 0xbe70e00341a1bb01 + .quad 0x53e4a24b083bc144 + .quad 0x10b8e91a9f0d61e3 + + // 2^0 * 7 * G + + .quad 0xba6f2c9aaa3221b1 + .quad 0x6ca021533bba23a7 + .quad 0x9dea764f92192c3a + .quad 0x1d6edd5d2e5317e0 + .quad 0x6b1a5cd0944ea3bf + .quad 0x7470353ab39dc0d2 + .quad 0x71b2528228542e49 + .quad 0x461bea69283c927e + .quad 0xf1836dc801b8b3a2 + .quad 0xb3035f47053ea49a + .quad 0x529c41ba5877adf3 + .quad 0x7a9fbb1c6a0f90a7 + + // 2^0 * 8 * G + + .quad 0xe2a75dedf39234d9 + .quad 0x963d7680e1b558f9 + .quad 0x2c2741ac6e3c23fb + .quad 0x3a9024a1320e01c3 + .quad 0x59b7596604dd3e8f + .quad 0x6cb30377e288702c + .quad 0xb1339c665ed9c323 + .quad 0x0915e76061bce52f + .quad 0xe7c1f5d9c9a2911a + .quad 0xb8a371788bcca7d7 + .quad 0x636412190eb62a32 + .quad 0x26907c5c2ecc4e95 + + // 2^4 * 1 * G + + .quad 0x7ec851ca553e2df3 + .quad 0xa71284cba64878b3 + .quad 0xe6b5e4193288d1e7 + .quad 0x4cf210ec5a9a8883 + .quad 0x322d04a52d9021f6 + .quad 0xb9c19f3375c6bf9c + .quad 0x587a3a4342d20b09 + .quad 0x143b1cf8aa64fe61 + .quad 0x9f867c7d968acaab + .quad 0x5f54258e27092729 + .quad 0xd0a7d34bea180975 + .quad 0x21b546a3374126e1 + + // 2^4 * 2 * G + + .quad 0xa94ff858a2888343 + .quad 0xce0ed4565313ed3c + .quad 0xf55c3dcfb5bf34fa + .quad 0x0a653ca5c9eab371 + .quad 0x490a7a45d185218f + .quad 0x9a15377846049335 + .quad 0x0060ea09cc31e1f6 + .quad 0x7e041577f86ee965 + .quad 0x66b2a496ce5b67f3 + .quad 0xff5492d8bd569796 + .quad 0x503cec294a592cd0 + .quad 0x566943650813acb2 + + // 2^4 * 3 * G + + .quad 0xb818db0c26620798 + .quad 0x5d5c31d9606e354a + .quad 0x0982fa4f00a8cdc7 + .quad 0x17e12bcd4653e2d4 + .quad 0x5672f9eb1dabb69d + .quad 0xba70b535afe853fc + .quad 0x47ac0f752796d66d + .quad 0x32a5351794117275 + .quad 0xd3a644a6df648437 + .quad 0x703b6559880fbfdd + .quad 0xcb852540ad3a1aa5 + .quad 0x0900b3f78e4c6468 + + // 2^4 * 4 * G + + .quad 0x0a851b9f679d651b + .quad 0xe108cb61033342f2 + .quad 0xd601f57fe88b30a3 + .quad 0x371f3acaed2dd714 + .quad 0xed280fbec816ad31 + .quad 0x52d9595bd8e6efe3 + .quad 0x0fe71772f6c623f5 + .quad 0x4314030b051e293c + .quad 0xd560005efbf0bcad + .quad 0x8eb70f2ed1870c5e + .quad 0x201f9033d084e6a0 + .quad 0x4c3a5ae1ce7b6670 + + // 2^4 * 5 * G + + .quad 0x4138a434dcb8fa95 + .quad 0x870cf67d6c96840b + .quad 0xde388574297be82c + .quad 0x7c814db27262a55a + .quad 0xbaf875e4c93da0dd + .quad 0xb93282a771b9294d + .quad 0x80d63fb7f4c6c460 + .quad 0x6de9c73dea66c181 + .quad 0x478904d5a04df8f2 + .quad 0xfafbae4ab10142d3 + .quad 0xf6c8ac63555d0998 + .quad 0x5aac4a412f90b104 + + // 2^4 * 6 * G + + .quad 0xc64f326b3ac92908 + .quad 0x5551b282e663e1e0 + .quad 0x476b35f54a1a4b83 + .quad 0x1b9da3fe189f68c2 + .quad 0x603a0d0abd7f5134 + .quad 0x8089c932e1d3ae46 + .quad 0xdf2591398798bd63 + .quad 0x1c145cd274ba0235 + .quad 0x32e8386475f3d743 + .quad 0x365b8baf6ae5d9ef + .quad 0x825238b6385b681e + .quad 0x234929c1167d65e1 + + // 2^4 * 7 * G + + .quad 0x984decaba077ade8 + .quad 0x383f77ad19eb389d + .quad 0xc7ec6b7e2954d794 + .quad 0x59c77b3aeb7c3a7a + .quad 0x48145cc21d099fcf + .quad 0x4535c192cc28d7e5 + .quad 0x80e7c1e548247e01 + .quad 0x4a5f28743b2973ee + .quad 0xd3add725225ccf62 + .quad 0x911a3381b2152c5d + .quad 0xd8b39fad5b08f87d + .quad 0x6f05606b4799fe3b + + // 2^4 * 8 * G + + .quad 0x9ffe9e92177ba962 + .quad 0x98aee71d0de5cae1 + .quad 0x3ff4ae942d831044 + .quad 0x714de12e58533ac8 + .quad 0x5b433149f91b6483 + .quad 0xadb5dc655a2cbf62 + .quad 0x87fa8412632827b3 + .quad 0x60895e91ab49f8d8 + .quad 0xe9ecf2ed0cf86c18 + .quad 0xb46d06120735dfd4 + .quad 0xbc9da09804b96be7 + .quad 0x73e2e62fd96dc26b + + // 2^8 * 1 * G + + .quad 0xed5b635449aa515e + .quad 0xa865c49f0bc6823a + .quad 0x850c1fe95b42d1c4 + .quad 0x30d76d6f03d315b9 + .quad 0x2eccdd0e632f9c1d + .quad 0x51d0b69676893115 + .quad 0x52dfb76ba8637a58 + .quad 0x6dd37d49a00eef39 + .quad 0x6c4444172106e4c7 + .quad 0xfb53d680928d7f69 + .quad 0xb4739ea4694d3f26 + .quad 0x10c697112e864bb0 + + // 2^8 * 2 * G + + .quad 0x6493c4277dbe5fde + .quad 0x265d4fad19ad7ea2 + .quad 0x0e00dfc846304590 + .quad 0x25e61cabed66fe09 + .quad 0x0ca62aa08358c805 + .quad 0x6a3d4ae37a204247 + .quad 0x7464d3a63b11eddc + .quad 0x03bf9baf550806ef + .quad 0x3f13e128cc586604 + .quad 0x6f5873ecb459747e + .quad 0xa0b63dedcc1268f5 + .quad 0x566d78634586e22c + + // 2^8 * 3 * G + + .quad 0x1637a49f9cc10834 + .quad 0xbc8e56d5a89bc451 + .quad 0x1cb5ec0f7f7fd2db + .quad 0x33975bca5ecc35d9 + .quad 0xa1054285c65a2fd0 + .quad 0x6c64112af31667c3 + .quad 0x680ae240731aee58 + .quad 0x14fba5f34793b22a + .quad 0x3cd746166985f7d4 + .quad 0x593e5e84c9c80057 + .quad 0x2fc3f2b67b61131e + .quad 0x14829cea83fc526c + + // 2^8 * 4 * G + + .quad 0xff437b8497dd95c2 + .quad 0x6c744e30aa4eb5a7 + .quad 0x9e0c5d613c85e88b + .quad 0x2fd9c71e5f758173 + .quad 0x21e70b2f4e71ecb8 + .quad 0xe656ddb940a477e3 + .quad 0xbf6556cece1d4f80 + .quad 0x05fc3bc4535d7b7e + .quad 0x24b8b3ae52afdedd + .quad 0x3495638ced3b30cf + .quad 0x33a4bc83a9be8195 + .quad 0x373767475c651f04 + + // 2^8 * 5 * G + + .quad 0x2fba99fd40d1add9 + .quad 0xb307166f96f4d027 + .quad 0x4363f05215f03bae + .quad 0x1fbea56c3b18f999 + .quad 0x634095cb14246590 + .quad 0xef12144016c15535 + .quad 0x9e38140c8910bc60 + .quad 0x6bf5905730907c8c + .quad 0x0fa778f1e1415b8a + .quad 0x06409ff7bac3a77e + .quad 0x6f52d7b89aa29a50 + .quad 0x02521cf67a635a56 + + // 2^8 * 6 * G + + .quad 0x513fee0b0a9d5294 + .quad 0x8f98e75c0fdf5a66 + .quad 0xd4618688bfe107ce + .quad 0x3fa00a7e71382ced + .quad 0xb1146720772f5ee4 + .quad 0xe8f894b196079ace + .quad 0x4af8224d00ac824a + .quad 0x001753d9f7cd6cc4 + .quad 0x3c69232d963ddb34 + .quad 0x1dde87dab4973858 + .quad 0xaad7d1f9a091f285 + .quad 0x12b5fe2fa048edb6 + + // 2^8 * 7 * G + + .quad 0x71f0fbc496fce34d + .quad 0x73b9826badf35bed + .quad 0xd2047261ff28c561 + .quad 0x749b76f96fb1206f + .quad 0xdf2b7c26ad6f1e92 + .quad 0x4b66d323504b8913 + .quad 0x8c409dc0751c8bc3 + .quad 0x6f7e93c20796c7b8 + .quad 0x1f5af604aea6ae05 + .quad 0xc12351f1bee49c99 + .quad 0x61a808b5eeff6b66 + .quad 0x0fcec10f01e02151 + + // 2^8 * 8 * G + + .quad 0x644d58a649fe1e44 + .quad 0x21fcaea231ad777e + .quad 0x02441c5a887fd0d2 + .quad 0x4901aa7183c511f3 + .quad 0x3df2d29dc4244e45 + .quad 0x2b020e7493d8de0a + .quad 0x6cc8067e820c214d + .quad 0x413779166feab90a + .quad 0x08b1b7548c1af8f0 + .quad 0xce0f7a7c246299b4 + .quad 0xf760b0f91e06d939 + .quad 0x41bb887b726d1213 + + // 2^12 * 1 * G + + .quad 0x9267806c567c49d8 + .quad 0x066d04ccca791e6a + .quad 0xa69f5645e3cc394b + .quad 0x5c95b686a0788cd2 + .quad 0x97d980e0aa39f7d2 + .quad 0x35d0384252c6b51c + .quad 0x7d43f49307cd55aa + .quad 0x56bd36cfb78ac362 + .quad 0x2ac519c10d14a954 + .quad 0xeaf474b494b5fa90 + .quad 0xe6af8382a9f87a5a + .quad 0x0dea6db1879be094 + + // 2^12 * 2 * G + + .quad 0xaa66bf547344e5ab + .quad 0xda1258888f1b4309 + .quad 0x5e87d2b3fd564b2f + .quad 0x5b2c78885483b1dd + .quad 0x15baeb74d6a8797a + .quad 0x7ef55cf1fac41732 + .quad 0x29001f5a3c8b05c5 + .quad 0x0ad7cc8752eaccfb + .quad 0x52151362793408cf + .quad 0xeb0f170319963d94 + .quad 0xa833b2fa883d9466 + .quad 0x093a7fa775003c78 + + // 2^12 * 3 * G + + .quad 0xe5107de63a16d7be + .quad 0xa377ffdc9af332cf + .quad 0x70d5bf18440b677f + .quad 0x6a252b19a4a31403 + .quad 0xb8e9604460a91286 + .quad 0x7f3fd8047778d3de + .quad 0x67d01e31bf8a5e2d + .quad 0x7b038a06c27b653e + .quad 0x9ed919d5d36990f3 + .quad 0x5213aebbdb4eb9f2 + .quad 0xc708ea054cb99135 + .quad 0x58ded57f72260e56 + + // 2^12 * 4 * G + + .quad 0x78e79dade9413d77 + .quad 0xf257f9d59729e67d + .quad 0x59db910ee37aa7e6 + .quad 0x6aa11b5bbb9e039c + .quad 0xda6d53265b0fd48b + .quad 0x8960823193bfa988 + .quad 0xd78ac93261d57e28 + .quad 0x79f2942d3a5c8143 + .quad 0x97da2f25b6c88de9 + .quad 0x251ba7eaacf20169 + .quad 0x09b44f87ef4eb4e4 + .quad 0x7d90ab1bbc6a7da5 + + // 2^12 * 5 * G + + .quad 0x9acca683a7016bfe + .quad 0x90505f4df2c50b6d + .quad 0x6b610d5fcce435aa + .quad 0x19a10d446198ff96 + .quad 0x1a07a3f496b3c397 + .quad 0x11ceaa188f4e2532 + .quad 0x7d9498d5a7751bf0 + .quad 0x19ed161f508dd8a0 + .quad 0x560a2cd687dce6ca + .quad 0x7f3568c48664cf4d + .quad 0x8741e95222803a38 + .quad 0x483bdab1595653fc + + // 2^12 * 6 * G + + .quad 0xfa780f148734fa49 + .quad 0x106f0b70360534e0 + .quad 0x2210776fe3e307bd + .quad 0x3286c109dde6a0fe + .quad 0xd6cf4d0ab4da80f6 + .quad 0x82483e45f8307fe0 + .quad 0x05005269ae6f9da4 + .quad 0x1c7052909cf7877a + .quad 0x32ee7de2874e98d4 + .quad 0x14c362e9b97e0c60 + .quad 0x5781dcde6a60a38a + .quad 0x217dd5eaaa7aa840 + + // 2^12 * 7 * G + + .quad 0x9db7c4d0248e1eb0 + .quad 0xe07697e14d74bf52 + .quad 0x1e6a9b173c562354 + .quad 0x7fa7c21f795a4965 + .quad 0x8bdf1fb9be8c0ec8 + .quad 0x00bae7f8e30a0282 + .quad 0x4963991dad6c4f6c + .quad 0x07058a6e5df6f60a + .quad 0xe9eb02c4db31f67f + .quad 0xed25fd8910bcfb2b + .quad 0x46c8131f5c5cddb4 + .quad 0x33b21c13a0cb9bce + + // 2^12 * 8 * G + + .quad 0x360692f8087d8e31 + .quad 0xf4dcc637d27163f7 + .quad 0x25a4e62065ea5963 + .quad 0x659bf72e5ac160d9 + .quad 0x9aafb9b05ee38c5b + .quad 0xbf9d2d4e071a13c7 + .quad 0x8eee6e6de933290a + .quad 0x1c3bab17ae109717 + .quad 0x1c9ab216c7cab7b0 + .quad 0x7d65d37407bbc3cc + .quad 0x52744750504a58d5 + .quad 0x09f2606b131a2990 + + // 2^16 * 1 * G + + .quad 0x40e87d44744346be + .quad 0x1d48dad415b52b25 + .quad 0x7c3a8a18a13b603e + .quad 0x4eb728c12fcdbdf7 + .quad 0x7e234c597c6691ae + .quad 0x64889d3d0a85b4c8 + .quad 0xdae2c90c354afae7 + .quad 0x0a871e070c6a9e1d + .quad 0x3301b5994bbc8989 + .quad 0x736bae3a5bdd4260 + .quad 0x0d61ade219d59e3c + .quad 0x3ee7300f2685d464 + + // 2^16 * 2 * G + + .quad 0xf5d255e49e7dd6b7 + .quad 0x8016115c610b1eac + .quad 0x3c99975d92e187ca + .quad 0x13815762979125c2 + .quad 0x43fa7947841e7518 + .quad 0xe5c6fa59639c46d7 + .quad 0xa1065e1de3052b74 + .quad 0x7d47c6a2cfb89030 + .quad 0x3fdad0148ef0d6e0 + .quad 0x9d3e749a91546f3c + .quad 0x71ec621026bb8157 + .quad 0x148cf58d34c9ec80 + + // 2^16 * 3 * G + + .quad 0x46a492f67934f027 + .quad 0x469984bef6840aa9 + .quad 0x5ca1bc2a89611854 + .quad 0x3ff2fa1ebd5dbbd4 + .quad 0xe2572f7d9ae4756d + .quad 0x56c345bb88f3487f + .quad 0x9fd10b6d6960a88d + .quad 0x278febad4eaea1b9 + .quad 0xb1aa681f8c933966 + .quad 0x8c21949c20290c98 + .quad 0x39115291219d3c52 + .quad 0x4104dd02fe9c677b + + // 2^16 * 4 * G + + .quad 0x72b2bf5e1124422a + .quad 0xa1fa0c3398a33ab5 + .quad 0x94cb6101fa52b666 + .quad 0x2c863b00afaf53d5 + .quad 0x81214e06db096ab8 + .quad 0x21a8b6c90ce44f35 + .quad 0x6524c12a409e2af5 + .quad 0x0165b5a48efca481 + .quad 0xf190a474a0846a76 + .quad 0x12eff984cd2f7cc0 + .quad 0x695e290658aa2b8f + .quad 0x591b67d9bffec8b8 + + // 2^16 * 5 * G + + .quad 0x312f0d1c80b49bfa + .quad 0x5979515eabf3ec8a + .quad 0x727033c09ef01c88 + .quad 0x3de02ec7ca8f7bcb + .quad 0x99b9b3719f18b55d + .quad 0xe465e5faa18c641e + .quad 0x61081136c29f05ed + .quad 0x489b4f867030128b + .quad 0xd232102d3aeb92ef + .quad 0xe16253b46116a861 + .quad 0x3d7eabe7190baa24 + .quad 0x49f5fbba496cbebf + + // 2^16 * 6 * G + + .quad 0x30949a108a5bcfd4 + .quad 0xdc40dd70bc6473eb + .quad 0x92c294c1307c0d1c + .quad 0x5604a86dcbfa6e74 + .quad 0x155d628c1e9c572e + .quad 0x8a4d86acc5884741 + .quad 0x91a352f6515763eb + .quad 0x06a1a6c28867515b + .quad 0x7288d1d47c1764b6 + .quad 0x72541140e0418b51 + .quad 0x9f031a6018acf6d1 + .quad 0x20989e89fe2742c6 + + // 2^16 * 7 * G + + .quad 0x499777fd3a2dcc7f + .quad 0x32857c2ca54fd892 + .quad 0xa279d864d207e3a0 + .quad 0x0403ed1d0ca67e29 + .quad 0x1674278b85eaec2e + .quad 0x5621dc077acb2bdf + .quad 0x640a4c1661cbf45a + .quad 0x730b9950f70595d3 + .quad 0xc94b2d35874ec552 + .quad 0xc5e6c8cf98246f8d + .quad 0xf7cb46fa16c035ce + .quad 0x5bd7454308303dcc + + // 2^16 * 8 * G + + .quad 0x7f9ad19528b24cc2 + .quad 0x7f6b54656335c181 + .quad 0x66b8b66e4fc07236 + .quad 0x133a78007380ad83 + .quad 0x85c4932115e7792a + .quad 0xc64c89a2bdcdddc9 + .quad 0x9d1e3da8ada3d762 + .quad 0x5bb7db123067f82c + .quad 0x0961f467c6ca62be + .quad 0x04ec21d6211952ee + .quad 0x182360779bd54770 + .quad 0x740dca6d58f0e0d2 + + // 2^20 * 1 * G + + .quad 0x50b70bf5d3f0af0b + .quad 0x4feaf48ae32e71f7 + .quad 0x60e84ed3a55bbd34 + .quad 0x00ed489b3f50d1ed + .quad 0x3906c72aed261ae5 + .quad 0x9ab68fd988e100f7 + .quad 0xf5e9059af3360197 + .quad 0x0e53dc78bf2b6d47 + .quad 0xb90829bf7971877a + .quad 0x5e4444636d17e631 + .quad 0x4d05c52e18276893 + .quad 0x27632d9a5a4a4af5 + + // 2^20 * 2 * G + + .quad 0xd11ff05154b260ce + .quad 0xd86dc38e72f95270 + .quad 0x601fcd0d267cc138 + .quad 0x2b67916429e90ccd + .quad 0xa98285d187eaffdb + .quad 0xa5b4fbbbd8d0a864 + .quad 0xb658f27f022663f7 + .quad 0x3bbc2b22d99ce282 + .quad 0xb917c952583c0a58 + .quad 0x653ff9b80fe4c6f3 + .quad 0x9b0da7d7bcdf3c0c + .quad 0x43a0eeb6ab54d60e + + // 2^20 * 3 * G + + .quad 0x396966a46d4a5487 + .quad 0xf811a18aac2bb3ba + .quad 0x66e4685b5628b26b + .quad 0x70a477029d929b92 + .quad 0x3ac6322357875fe8 + .quad 0xd9d4f4ecf5fbcb8f + .quad 0x8dee8493382bb620 + .quad 0x50c5eaa14c799fdc + .quad 0xdd0edc8bd6f2fb3c + .quad 0x54c63aa79cc7b7a0 + .quad 0xae0b032b2c8d9f1a + .quad 0x6f9ce107602967fb + + // 2^20 * 4 * G + + .quad 0xad1054b1cde1c22a + .quad 0xc4a8e90248eb32df + .quad 0x5f3e7b33accdc0ea + .quad 0x72364713fc79963e + .quad 0x139693063520e0b5 + .quad 0x437fcf7c88ea03fe + .quad 0xf7d4c40bd3c959bc + .quad 0x699154d1f893ded9 + .quad 0x315d5c75b4b27526 + .quad 0xcccb842d0236daa5 + .quad 0x22f0c8a3345fee8e + .quad 0x73975a617d39dbed + + // 2^20 * 5 * G + + .quad 0xe4024df96375da10 + .quad 0x78d3251a1830c870 + .quad 0x902b1948658cd91c + .quad 0x7e18b10b29b7438a + .quad 0x6f37f392f4433e46 + .quad 0x0e19b9a11f566b18 + .quad 0x220fb78a1fd1d662 + .quad 0x362a4258a381c94d + .quad 0x9071d9132b6beb2f + .quad 0x0f26e9ad28418247 + .quad 0xeab91ec9bdec925d + .quad 0x4be65bc8f48af2de + + // 2^20 * 6 * G + + .quad 0x78487feba36e7028 + .quad 0x5f3f13001dd8ce34 + .quad 0x934fb12d4b30c489 + .quad 0x056c244d397f0a2b + .quad 0x1d50fba257c26234 + .quad 0x7bd4823adeb0678b + .quad 0xc2b0dc6ea6538af5 + .quad 0x5665eec6351da73e + .quad 0xdb3ee00943bfb210 + .quad 0x4972018720800ac2 + .quad 0x26ab5d6173bd8667 + .quad 0x20b209c2ab204938 + + // 2^20 * 7 * G + + .quad 0x549e342ac07fb34b + .quad 0x02d8220821373d93 + .quad 0xbc262d70acd1f567 + .quad 0x7a92c9fdfbcac784 + .quad 0x1fcca94516bd3289 + .quad 0x448d65aa41420428 + .quad 0x59c3b7b216a55d62 + .quad 0x49992cc64e612cd8 + .quad 0x65bd1bea70f801de + .quad 0x1befb7c0fe49e28a + .quad 0xa86306cdb1b2ae4a + .quad 0x3b7ac0cd265c2a09 + + // 2^20 * 8 * G + + .quad 0x822bee438c01bcec + .quad 0x530cb525c0fbc73b + .quad 0x48519034c1953fe9 + .quad 0x265cc261e09a0f5b + .quad 0xf0d54e4f22ed39a7 + .quad 0xa2aae91e5608150a + .quad 0xf421b2e9eddae875 + .quad 0x31bc531d6b7de992 + .quad 0xdf3d134da980f971 + .quad 0x7a4fb8d1221a22a7 + .quad 0x3df7d42035aad6d8 + .quad 0x2a14edcc6a1a125e + + // 2^24 * 1 * G + + .quad 0xdf48ee0752cfce4e + .quad 0xc3fffaf306ec08b7 + .quad 0x05710b2ab95459c4 + .quad 0x161d25fa963ea38d + .quad 0x231a8c570478433c + .quad 0xb7b5270ec281439d + .quad 0xdbaa99eae3d9079f + .quad 0x2c03f5256c2b03d9 + .quad 0x790f18757b53a47d + .quad 0x307b0130cf0c5879 + .quad 0x31903d77257ef7f9 + .quad 0x699468bdbd96bbaf + + // 2^24 * 2 * G + + .quad 0xbd1f2f46f4dafecf + .quad 0x7cef0114a47fd6f7 + .quad 0xd31ffdda4a47b37f + .quad 0x525219a473905785 + .quad 0xd8dd3de66aa91948 + .quad 0x485064c22fc0d2cc + .quad 0x9b48246634fdea2f + .quad 0x293e1c4e6c4a2e3a + .quad 0x376e134b925112e1 + .quad 0x703778b5dca15da0 + .quad 0xb04589af461c3111 + .quad 0x5b605c447f032823 + + // 2^24 * 3 * G + + .quad 0xb965805920c47c89 + .quad 0xe7f0100c923b8fcc + .quad 0x0001256502e2ef77 + .quad 0x24a76dcea8aeb3ee + .quad 0x3be9fec6f0e7f04c + .quad 0x866a579e75e34962 + .quad 0x5542ef161e1de61a + .quad 0x2f12fef4cc5abdd5 + .quad 0x0a4522b2dfc0c740 + .quad 0x10d06e7f40c9a407 + .quad 0xc6cf144178cff668 + .quad 0x5e607b2518a43790 + + // 2^24 * 4 * G + + .quad 0x58b31d8f6cdf1818 + .quad 0x35cfa74fc36258a2 + .quad 0xe1b3ff4f66e61d6e + .quad 0x5067acab6ccdd5f7 + .quad 0xa02c431ca596cf14 + .quad 0xe3c42d40aed3e400 + .quad 0xd24526802e0f26db + .quad 0x201f33139e457068 + .quad 0xfd527f6b08039d51 + .quad 0x18b14964017c0006 + .quad 0xd5220eb02e25a4a8 + .quad 0x397cba8862460375 + + // 2^24 * 5 * G + + .quad 0x30c13093f05959b2 + .quad 0xe23aa18de9a97976 + .quad 0x222fd491721d5e26 + .quad 0x2339d320766e6c3a + .quad 0x7815c3fbc81379e7 + .quad 0xa6619420dde12af1 + .quad 0xffa9c0f885a8fdd5 + .quad 0x771b4022c1e1c252 + .quad 0xd87dd986513a2fa7 + .quad 0xf5ac9b71f9d4cf08 + .quad 0xd06bc31b1ea283b3 + .quad 0x331a189219971a76 + + // 2^24 * 6 * G + + .quad 0xf5166f45fb4f80c6 + .quad 0x9c36c7de61c775cf + .quad 0xe3d4e81b9041d91c + .quad 0x31167c6b83bdfe21 + .quad 0x26512f3a9d7572af + .quad 0x5bcbe28868074a9e + .quad 0x84edc1c11180f7c4 + .quad 0x1ac9619ff649a67b + .quad 0xf22b3842524b1068 + .quad 0x5068343bee9ce987 + .quad 0xfc9d71844a6250c8 + .quad 0x612436341f08b111 + + // 2^24 * 7 * G + + .quad 0xd99d41db874e898d + .quad 0x09fea5f16c07dc20 + .quad 0x793d2c67d00f9bbc + .quad 0x46ebe2309e5eff40 + .quad 0x8b6349e31a2d2638 + .quad 0x9ddfb7009bd3fd35 + .quad 0x7f8bf1b8a3a06ba4 + .quad 0x1522aa3178d90445 + .quad 0x2c382f5369614938 + .quad 0xdafe409ab72d6d10 + .quad 0xe8c83391b646f227 + .quad 0x45fe70f50524306c + + // 2^24 * 8 * G + + .quad 0xda4875a6960c0b8c + .quad 0x5b68d076ef0e2f20 + .quad 0x07fb51cf3d0b8fd4 + .quad 0x428d1623a0e392d4 + .quad 0x62f24920c8951491 + .quad 0x05f007c83f630ca2 + .quad 0x6fbb45d2f5c9d4b8 + .quad 0x16619f6db57a2245 + .quad 0x084f4a4401a308fd + .quad 0xa82219c376a5caac + .quad 0xdeb8de4643d1bc7d + .quad 0x1d81592d60bd38c6 + + // 2^28 * 1 * G + + .quad 0xd833d7beec2a4c38 + .quad 0x2c9162830acc20ed + .quad 0xe93a47aa92df7581 + .quad 0x702d67a3333c4a81 + .quad 0x3a4a369a2f89c8a1 + .quad 0x63137a1d7c8de80d + .quad 0xbcac008a78eda015 + .quad 0x2cb8b3a5b483b03f + .quad 0x36e417cbcb1b90a1 + .quad 0x33b3ddaa7f11794e + .quad 0x3f510808885bc607 + .quad 0x24141dc0e6a8020d + + // 2^28 * 2 * G + + .quad 0x59f73c773fefee9d + .quad 0xb3f1ef89c1cf989d + .quad 0xe35dfb42e02e545f + .quad 0x5766120b47a1b47c + .quad 0x91925dccbd83157d + .quad 0x3ca1205322cc8094 + .quad 0x28e57f183f90d6e4 + .quad 0x1a4714cede2e767b + .quad 0xdb20ba0fb8b6b7ff + .quad 0xb732c3b677511fa1 + .quad 0xa92b51c099f02d89 + .quad 0x4f3875ad489ca5f1 + + // 2^28 * 3 * G + + .quad 0xc7fc762f4932ab22 + .quad 0x7ac0edf72f4c3c1b + .quad 0x5f6b55aa9aa895e8 + .quad 0x3680274dad0a0081 + .quad 0x79ed13f6ee73eec0 + .quad 0xa5c6526d69110bb1 + .quad 0xe48928c38603860c + .quad 0x722a1446fd7059f5 + .quad 0xd0959fe9a8cf8819 + .quad 0xd0a995508475a99c + .quad 0x6eac173320b09cc5 + .quad 0x628ecf04331b1095 + + // 2^28 * 4 * G + + .quad 0x98bcb118a9d0ddbc + .quad 0xee449e3408b4802b + .quad 0x87089226b8a6b104 + .quad 0x685f349a45c7915d + .quad 0x9b41acf85c74ccf1 + .quad 0xb673318108265251 + .quad 0x99c92aed11adb147 + .quad 0x7a47d70d34ecb40f + .quad 0x60a0c4cbcc43a4f5 + .quad 0x775c66ca3677bea9 + .quad 0xa17aa1752ff8f5ed + .quad 0x11ded9020e01fdc0 + + // 2^28 * 5 * G + + .quad 0x890e7809caefe704 + .quad 0x8728296de30e8c6c + .quad 0x4c5cd2a392aeb1c9 + .quad 0x194263d15771531f + .quad 0x471f95b03bea93b7 + .quad 0x0552d7d43313abd3 + .quad 0xbd9370e2e17e3f7b + .quad 0x7b120f1db20e5bec + .quad 0x17d2fb3d86502d7a + .quad 0xb564d84450a69352 + .quad 0x7da962c8a60ed75d + .quad 0x00d0f85b318736aa + + // 2^28 * 6 * G + + .quad 0x978b142e777c84fd + .quad 0xf402644705a8c062 + .quad 0xa67ad51be7e612c7 + .quad 0x2f7b459698dd6a33 + .quad 0xa6753c1efd7621c1 + .quad 0x69c0b4a7445671f5 + .quad 0x971f527405b23c11 + .quad 0x387bc74851a8c7cd + .quad 0x81894b4d4a52a9a8 + .quad 0xadd93e12f6b8832f + .quad 0x184d8548b61bd638 + .quad 0x3f1c62dbd6c9f6cd + + // 2^28 * 7 * G + + .quad 0x2e8f1f0091910c1f + .quad 0xa4df4fe0bff2e12c + .quad 0x60c6560aee927438 + .quad 0x6338283facefc8fa + .quad 0x3fad3e40148f693d + .quad 0x052656e194eb9a72 + .quad 0x2f4dcbfd184f4e2f + .quad 0x406f8db1c482e18b + .quad 0x9e630d2c7f191ee4 + .quad 0x4fbf8301bc3ff670 + .quad 0x787d8e4e7afb73c4 + .quad 0x50d83d5be8f58fa5 + + // 2^28 * 8 * G + + .quad 0x85683916c11a1897 + .quad 0x2d69a4efe506d008 + .quad 0x39af1378f664bd01 + .quad 0x65942131361517c6 + .quad 0xc0accf90b4d3b66d + .quad 0xa7059de561732e60 + .quad 0x033d1f7870c6b0ba + .quad 0x584161cd26d946e4 + .quad 0xbbf2b1a072d27ca2 + .quad 0xbf393c59fbdec704 + .quad 0xe98dbbcee262b81e + .quad 0x02eebd0b3029b589 + + // 2^32 * 1 * G + + .quad 0x61368756a60dac5f + .quad 0x17e02f6aebabdc57 + .quad 0x7f193f2d4cce0f7d + .quad 0x20234a7789ecdcf0 + .quad 0x8765b69f7b85c5e8 + .quad 0x6ff0678bd168bab2 + .quad 0x3a70e77c1d330f9b + .quad 0x3a5f6d51b0af8e7c + .quad 0x76d20db67178b252 + .quad 0x071c34f9d51ed160 + .quad 0xf62a4a20b3e41170 + .quad 0x7cd682353cffe366 + + // 2^32 * 2 * G + + .quad 0x0be1a45bd887fab6 + .quad 0x2a846a32ba403b6e + .quad 0xd9921012e96e6000 + .quad 0x2838c8863bdc0943 + .quad 0xa665cd6068acf4f3 + .quad 0x42d92d183cd7e3d3 + .quad 0x5759389d336025d9 + .quad 0x3ef0253b2b2cd8ff + .quad 0xd16bb0cf4a465030 + .quad 0xfa496b4115c577ab + .quad 0x82cfae8af4ab419d + .quad 0x21dcb8a606a82812 + + // 2^32 * 3 * G + + .quad 0x5c6004468c9d9fc8 + .quad 0x2540096ed42aa3cb + .quad 0x125b4d4c12ee2f9c + .quad 0x0bc3d08194a31dab + .quad 0x9a8d00fabe7731ba + .quad 0x8203607e629e1889 + .quad 0xb2cc023743f3d97f + .quad 0x5d840dbf6c6f678b + .quad 0x706e380d309fe18b + .quad 0x6eb02da6b9e165c7 + .quad 0x57bbba997dae20ab + .quad 0x3a4276232ac196dd + + // 2^32 * 4 * G + + .quad 0x4b42432c8a7084fa + .quad 0x898a19e3dfb9e545 + .quad 0xbe9f00219c58e45d + .quad 0x1ff177cea16debd1 + .quad 0x3bf8c172db447ecb + .quad 0x5fcfc41fc6282dbd + .quad 0x80acffc075aa15fe + .quad 0x0770c9e824e1a9f9 + .quad 0xcf61d99a45b5b5fd + .quad 0x860984e91b3a7924 + .quad 0xe7300919303e3e89 + .quad 0x39f264fd41500b1e + + // 2^32 * 5 * G + + .quad 0xa7ad3417dbe7e29c + .quad 0xbd94376a2b9c139c + .quad 0xa0e91b8e93597ba9 + .quad 0x1712d73468889840 + .quad 0xd19b4aabfe097be1 + .quad 0xa46dfce1dfe01929 + .quad 0xc3c908942ca6f1ff + .quad 0x65c621272c35f14e + .quad 0xe72b89f8ce3193dd + .quad 0x4d103356a125c0bb + .quad 0x0419a93d2e1cfe83 + .quad 0x22f9800ab19ce272 + + // 2^32 * 6 * G + + .quad 0x605a368a3e9ef8cb + .quad 0xe3e9c022a5504715 + .quad 0x553d48b05f24248f + .quad 0x13f416cd647626e5 + .quad 0x42029fdd9a6efdac + .quad 0xb912cebe34a54941 + .quad 0x640f64b987bdf37b + .quad 0x4171a4d38598cab4 + .quad 0xfa2758aa99c94c8c + .quad 0x23006f6fb000b807 + .quad 0xfbd291ddadda5392 + .quad 0x508214fa574bd1ab + + // 2^32 * 7 * G + + .quad 0xc20269153ed6fe4b + .quad 0xa65a6739511d77c4 + .quad 0xcbde26462c14af94 + .quad 0x22f960ec6faba74b + .quad 0x461a15bb53d003d6 + .quad 0xb2102888bcf3c965 + .quad 0x27c576756c683a5a + .quad 0x3a7758a4c86cb447 + .quad 0x548111f693ae5076 + .quad 0x1dae21df1dfd54a6 + .quad 0x12248c90f3115e65 + .quad 0x5d9fd15f8de7f494 + + // 2^32 * 8 * G + + .quad 0x031408d36d63727f + .quad 0x6a379aefd7c7b533 + .quad 0xa9e18fc5ccaee24b + .quad 0x332f35914f8fbed3 + .quad 0x3f244d2aeed7521e + .quad 0x8e3a9028432e9615 + .quad 0xe164ba772e9c16d4 + .quad 0x3bc187fa47eb98d8 + .quad 0x6d470115ea86c20c + .quad 0x998ab7cb6c46d125 + .quad 0xd77832b53a660188 + .quad 0x450d81ce906fba03 + + // 2^36 * 1 * G + + .quad 0xf8ae4d2ad8453902 + .quad 0x7018058ee8db2d1d + .quad 0xaab3995fc7d2c11e + .quad 0x53b16d2324ccca79 + .quad 0x23264d66b2cae0b5 + .quad 0x7dbaed33ebca6576 + .quad 0x030ebed6f0d24ac8 + .quad 0x2a887f78f7635510 + .quad 0x2a23b9e75c012d4f + .quad 0x0c974651cae1f2ea + .quad 0x2fb63273675d70ca + .quad 0x0ba7250b864403f5 + + // 2^36 * 2 * G + + .quad 0xbb0d18fd029c6421 + .quad 0xbc2d142189298f02 + .quad 0x8347f8e68b250e96 + .quad 0x7b9f2fe8032d71c9 + .quad 0xdd63589386f86d9c + .quad 0x61699176e13a85a4 + .quad 0x2e5111954eaa7d57 + .quad 0x32c21b57fb60bdfb + .quad 0xd87823cd319e0780 + .quad 0xefc4cfc1897775c5 + .quad 0x4854fb129a0ab3f7 + .quad 0x12c49d417238c371 + + // 2^36 * 3 * G + + .quad 0x0950b533ffe83769 + .quad 0x21861c1d8e1d6bd1 + .quad 0xf022d8381302e510 + .quad 0x2509200c6391cab4 + .quad 0x09b3a01783799542 + .quad 0x626dd08faad5ee3f + .quad 0xba00bceeeb70149f + .quad 0x1421b246a0a444c9 + .quad 0x4aa43a8e8c24a7c7 + .quad 0x04c1f540d8f05ef5 + .quad 0xadba5e0c0b3eb9dc + .quad 0x2ab5504448a49ce3 + + // 2^36 * 4 * G + + .quad 0x2ed227266f0f5dec + .quad 0x9824ee415ed50824 + .quad 0x807bec7c9468d415 + .quad 0x7093bae1b521e23f + .quad 0xdc07ac631c5d3afa + .quad 0x58615171f9df8c6c + .quad 0x72a079d89d73e2b0 + .quad 0x7301f4ceb4eae15d + .quad 0x6409e759d6722c41 + .quad 0xa674e1cf72bf729b + .quad 0xbc0a24eb3c21e569 + .quad 0x390167d24ebacb23 + + // 2^36 * 5 * G + + .quad 0x27f58e3bba353f1c + .quad 0x4c47764dbf6a4361 + .quad 0xafbbc4e56e562650 + .quad 0x07db2ee6aae1a45d + .quad 0xd7bb054ba2f2120b + .quad 0xe2b9ceaeb10589b7 + .quad 0x3fe8bac8f3c0edbe + .quad 0x4cbd40767112cb69 + .quad 0x0b603cc029c58176 + .quad 0x5988e3825cb15d61 + .quad 0x2bb61413dcf0ad8d + .quad 0x7b8eec6c74183287 + + // 2^36 * 6 * G + + .quad 0xe4ca40782cd27cb0 + .quad 0xdaf9c323fbe967bd + .quad 0xb29bd34a8ad41e9e + .quad 0x72810497626ede4d + .quad 0x32fee570fc386b73 + .quad 0xda8b0141da3a8cc7 + .quad 0x975ffd0ac8968359 + .quad 0x6ee809a1b132a855 + .quad 0x9444bb31fcfd863a + .quad 0x2fe3690a3e4e48c5 + .quad 0xdc29c867d088fa25 + .quad 0x13bd1e38d173292e + + // 2^36 * 7 * G + + .quad 0xd32b4cd8696149b5 + .quad 0xe55937d781d8aab7 + .quad 0x0bcb2127ae122b94 + .quad 0x41e86fcfb14099b0 + .quad 0x223fb5cf1dfac521 + .quad 0x325c25316f554450 + .quad 0x030b98d7659177ac + .quad 0x1ed018b64f88a4bd + .quad 0x3630dfa1b802a6b0 + .quad 0x880f874742ad3bd5 + .quad 0x0af90d6ceec5a4d4 + .quad 0x746a247a37cdc5d9 + + // 2^36 * 8 * G + + .quad 0xd531b8bd2b7b9af6 + .quad 0x5005093537fc5b51 + .quad 0x232fcf25c593546d + .quad 0x20a365142bb40f49 + .quad 0x6eccd85278d941ed + .quad 0x2254ae83d22f7843 + .quad 0xc522d02e7bbfcdb7 + .quad 0x681e3351bff0e4e2 + .quad 0x8b64b59d83034f45 + .quad 0x2f8b71f21fa20efb + .quad 0x69249495ba6550e4 + .quad 0x539ef98e45d5472b + + // 2^40 * 1 * G + + .quad 0x6e7bb6a1a6205275 + .quad 0xaa4f21d7413c8e83 + .quad 0x6f56d155e88f5cb2 + .quad 0x2de25d4ba6345be1 + .quad 0xd074d8961cae743f + .quad 0xf86d18f5ee1c63ed + .quad 0x97bdc55be7f4ed29 + .quad 0x4cbad279663ab108 + .quad 0x80d19024a0d71fcd + .quad 0xc525c20afb288af8 + .quad 0xb1a3974b5f3a6419 + .quad 0x7d7fbcefe2007233 + + // 2^40 * 2 * G + + .quad 0xfaef1e6a266b2801 + .quad 0x866c68c4d5739f16 + .quad 0xf68a2fbc1b03762c + .quad 0x5975435e87b75a8d + .quad 0xcd7c5dc5f3c29094 + .quad 0xc781a29a2a9105ab + .quad 0x80c61d36421c3058 + .quad 0x4f9cd196dcd8d4d7 + .quad 0x199297d86a7b3768 + .quad 0xd0d058241ad17a63 + .quad 0xba029cad5c1c0c17 + .quad 0x7ccdd084387a0307 + + // 2^40 * 3 * G + + .quad 0xdca6422c6d260417 + .quad 0xae153d50948240bd + .quad 0xa9c0c1b4fb68c677 + .quad 0x428bd0ed61d0cf53 + .quad 0x9b0c84186760cc93 + .quad 0xcdae007a1ab32a99 + .quad 0xa88dec86620bda18 + .quad 0x3593ca848190ca44 + .quad 0x9213189a5e849aa7 + .quad 0xd4d8c33565d8facd + .quad 0x8c52545b53fdbbd1 + .quad 0x27398308da2d63e6 + + // 2^40 * 4 * G + + .quad 0x42c38d28435ed413 + .quad 0xbd50f3603278ccc9 + .quad 0xbb07ab1a79da03ef + .quad 0x269597aebe8c3355 + .quad 0xb9a10e4c0a702453 + .quad 0x0fa25866d57d1bde + .quad 0xffb9d9b5cd27daf7 + .quad 0x572c2945492c33fd + .quad 0xc77fc745d6cd30be + .quad 0xe4dfe8d3e3baaefb + .quad 0xa22c8830aa5dda0c + .quad 0x7f985498c05bca80 + + // 2^40 * 5 * G + + .quad 0x3849ce889f0be117 + .quad 0x8005ad1b7b54a288 + .quad 0x3da3c39f23fc921c + .quad 0x76c2ec470a31f304 + .quad 0xd35615520fbf6363 + .quad 0x08045a45cf4dfba6 + .quad 0xeec24fbc873fa0c2 + .quad 0x30f2653cd69b12e7 + .quad 0x8a08c938aac10c85 + .quad 0x46179b60db276bcb + .quad 0xa920c01e0e6fac70 + .quad 0x2f1273f1596473da + + // 2^40 * 6 * G + + .quad 0x4739fc7c8ae01e11 + .quad 0xfd5274904a6aab9f + .quad 0x41d98a8287728f2e + .quad 0x5d9e572ad85b69f2 + .quad 0x30488bd755a70bc0 + .quad 0x06d6b5a4f1d442e7 + .quad 0xead1a69ebc596162 + .quad 0x38ac1997edc5f784 + .quad 0x0666b517a751b13b + .quad 0x747d06867e9b858c + .quad 0xacacc011454dde49 + .quad 0x22dfcd9cbfe9e69c + + // 2^40 * 7 * G + + .quad 0x8ddbd2e0c30d0cd9 + .quad 0xad8e665facbb4333 + .quad 0x8f6b258c322a961f + .quad 0x6b2916c05448c1c7 + .quad 0x56ec59b4103be0a1 + .quad 0x2ee3baecd259f969 + .quad 0x797cb29413f5cd32 + .quad 0x0fe9877824cde472 + .quad 0x7edb34d10aba913b + .quad 0x4ea3cd822e6dac0e + .quad 0x66083dff6578f815 + .quad 0x4c303f307ff00a17 + + // 2^40 * 8 * G + + .quad 0xd30a3bd617b28c85 + .quad 0xc5d377b739773bea + .quad 0xc6c6e78c1e6a5cbf + .quad 0x0d61b8f78b2ab7c4 + .quad 0x29fc03580dd94500 + .quad 0xecd27aa46fbbec93 + .quad 0x130a155fc2e2a7f8 + .quad 0x416b151ab706a1d5 + .quad 0x56a8d7efe9c136b0 + .quad 0xbd07e5cd58e44b20 + .quad 0xafe62fda1b57e0ab + .quad 0x191a2af74277e8d2 + + // 2^44 * 1 * G + + .quad 0xd550095bab6f4985 + .quad 0x04f4cd5b4fbfaf1a + .quad 0x9d8e2ed12a0c7540 + .quad 0x2bc24e04b2212286 + .quad 0x09d4b60b2fe09a14 + .quad 0xc384f0afdbb1747e + .quad 0x58e2ea8978b5fd6e + .quad 0x519ef577b5e09b0a + .quad 0x1863d7d91124cca9 + .quad 0x7ac08145b88a708e + .quad 0x2bcd7309857031f5 + .quad 0x62337a6e8ab8fae5 + + // 2^44 * 2 * G + + .quad 0x4bcef17f06ffca16 + .quad 0xde06e1db692ae16a + .quad 0x0753702d614f42b0 + .quad 0x5f6041b45b9212d0 + .quad 0xd1ab324e1b3a1273 + .quad 0x18947cf181055340 + .quad 0x3b5d9567a98c196e + .quad 0x7fa00425802e1e68 + .quad 0x7d531574028c2705 + .quad 0x80317d69db0d75fe + .quad 0x30fface8ef8c8ddd + .quad 0x7e9de97bb6c3e998 + + // 2^44 * 3 * G + + .quad 0x1558967b9e6585a3 + .quad 0x97c99ce098e98b92 + .quad 0x10af149b6eb3adad + .quad 0x42181fe8f4d38cfa + .quad 0xf004be62a24d40dd + .quad 0xba0659910452d41f + .quad 0x81c45ee162a44234 + .quad 0x4cb829d8a22266ef + .quad 0x1dbcaa8407b86681 + .quad 0x081f001e8b26753b + .quad 0x3cd7ce6a84048e81 + .quad 0x78af11633f25f22c + + // 2^44 * 4 * G + + .quad 0x8416ebd40b50babc + .quad 0x1508722628208bee + .quad 0xa3148fafb9c1c36d + .quad 0x0d07daacd32d7d5d + .quad 0x3241c00e7d65318c + .quad 0xe6bee5dcd0e86de7 + .quad 0x118b2dc2fbc08c26 + .quad 0x680d04a7fc603dc3 + .quad 0xf9c2414a695aa3eb + .quad 0xdaa42c4c05a68f21 + .quad 0x7c6c23987f93963e + .quad 0x210e8cd30c3954e3 + + // 2^44 * 5 * G + + .quad 0xac4201f210a71c06 + .quad 0x6a65e0aef3bfb021 + .quad 0xbc42c35c393632f7 + .quad 0x56ea8db1865f0742 + .quad 0x2b50f16137fe6c26 + .quad 0xe102bcd856e404d8 + .quad 0x12b0f1414c561f6b + .quad 0x51b17bc8d028ec91 + .quad 0xfff5fb4bcf535119 + .quad 0xf4989d79df1108a0 + .quad 0xbdfcea659a3ba325 + .quad 0x18a11f1174d1a6f2 + + // 2^44 * 6 * G + + .quad 0x407375ab3f6bba29 + .quad 0x9ec3b6d8991e482e + .quad 0x99c80e82e55f92e9 + .quad 0x307c13b6fb0c0ae1 + .quad 0xfbd63cdad27a5f2c + .quad 0xf00fc4bc8aa106d7 + .quad 0x53fb5c1a8e64a430 + .quad 0x04eaabe50c1a2e85 + .quad 0x24751021cb8ab5e7 + .quad 0xfc2344495c5010eb + .quad 0x5f1e717b4e5610a1 + .quad 0x44da5f18c2710cd5 + + // 2^44 * 7 * G + + .quad 0x033cc55ff1b82eb5 + .quad 0xb15ae36d411cae52 + .quad 0xba40b6198ffbacd3 + .quad 0x768edce1532e861f + .quad 0x9156fe6b89d8eacc + .quad 0xe6b79451e23126a1 + .quad 0xbd7463d93944eb4e + .quad 0x726373f6767203ae + .quad 0xe305ca72eb7ef68a + .quad 0x662cf31f70eadb23 + .quad 0x18f026fdb4c45b68 + .quad 0x513b5384b5d2ecbd + + // 2^44 * 8 * G + + .quad 0x46d46280c729989e + .quad 0x4b93fbd05368a5dd + .quad 0x63df3f81d1765a89 + .quad 0x34cebd64b9a0a223 + .quad 0x5e2702878af34ceb + .quad 0x900b0409b946d6ae + .quad 0x6512ebf7dabd8512 + .quad 0x61d9b76988258f81 + .quad 0xa6c5a71349b7d94b + .quad 0xa3f3d15823eb9446 + .quad 0x0416fbd277484834 + .quad 0x69d45e6f2c70812f + + // 2^48 * 1 * G + + .quad 0xce16f74bc53c1431 + .quad 0x2b9725ce2072edde + .quad 0xb8b9c36fb5b23ee7 + .quad 0x7e2e0e450b5cc908 + .quad 0x9fe62b434f460efb + .quad 0xded303d4a63607d6 + .quad 0xf052210eb7a0da24 + .quad 0x237e7dbe00545b93 + .quad 0x013575ed6701b430 + .quad 0x231094e69f0bfd10 + .quad 0x75320f1583e47f22 + .quad 0x71afa699b11155e3 + + // 2^48 * 2 * G + + .quad 0x65ce6f9b3953b61d + .quad 0xc65839eaafa141e6 + .quad 0x0f435ffda9f759fe + .quad 0x021142e9c2b1c28e + .quad 0xea423c1c473b50d6 + .quad 0x51e87a1f3b38ef10 + .quad 0x9b84bf5fb2c9be95 + .quad 0x00731fbc78f89a1c + .quad 0xe430c71848f81880 + .quad 0xbf960c225ecec119 + .quad 0xb6dae0836bba15e3 + .quad 0x4c4d6f3347e15808 + + // 2^48 * 3 * G + + .quad 0x18f7eccfc17d1fc9 + .quad 0x6c75f5a651403c14 + .quad 0xdbde712bf7ee0cdf + .quad 0x193fddaaa7e47a22 + .quad 0x2f0cddfc988f1970 + .quad 0x6b916227b0b9f51b + .quad 0x6ec7b6c4779176be + .quad 0x38bf9500a88f9fa8 + .quad 0x1fd2c93c37e8876f + .quad 0xa2f61e5a18d1462c + .quad 0x5080f58239241276 + .quad 0x6a6fb99ebf0d4969 + + // 2^48 * 4 * G + + .quad 0x6a46c1bb560855eb + .quad 0x2416bb38f893f09d + .quad 0xd71d11378f71acc1 + .quad 0x75f76914a31896ea + .quad 0xeeb122b5b6e423c6 + .quad 0x939d7010f286ff8e + .quad 0x90a92a831dcf5d8c + .quad 0x136fda9f42c5eb10 + .quad 0xf94cdfb1a305bdd1 + .quad 0x0f364b9d9ff82c08 + .quad 0x2a87d8a5c3bb588a + .quad 0x022183510be8dcba + + // 2^48 * 5 * G + + .quad 0x4af766385ead2d14 + .quad 0xa08ed880ca7c5830 + .quad 0x0d13a6e610211e3d + .quad 0x6a071ce17b806c03 + .quad 0x9d5a710143307a7f + .quad 0xb063de9ec47da45f + .quad 0x22bbfe52be927ad3 + .quad 0x1387c441fd40426c + .quad 0xb5d3c3d187978af8 + .quad 0x722b5a3d7f0e4413 + .quad 0x0d7b4848bb477ca0 + .quad 0x3171b26aaf1edc92 + + // 2^48 * 6 * G + + .quad 0xa92f319097564ca8 + .quad 0xff7bb84c2275e119 + .quad 0x4f55fe37a4875150 + .quad 0x221fd4873cf0835a + .quad 0xa60db7d8b28a47d1 + .quad 0xa6bf14d61770a4f1 + .quad 0xd4a1f89353ddbd58 + .quad 0x6c514a63344243e9 + .quad 0x2322204f3a156341 + .quad 0xfb73e0e9ba0a032d + .quad 0xfce0dd4c410f030e + .quad 0x48daa596fb924aaa + + // 2^48 * 7 * G + + .quad 0x6eca8e665ca59cc7 + .quad 0xa847254b2e38aca0 + .quad 0x31afc708d21e17ce + .quad 0x676dd6fccad84af7 + .quad 0x14f61d5dc84c9793 + .quad 0x9941f9e3ef418206 + .quad 0xcdf5b88f346277ac + .quad 0x58c837fa0e8a79a9 + .quad 0x0cf9688596fc9058 + .quad 0x1ddcbbf37b56a01b + .quad 0xdcc2e77d4935d66a + .quad 0x1c4f73f2c6a57f0a + + // 2^48 * 8 * G + + .quad 0x0e7a4fbd305fa0bb + .quad 0x829d4ce054c663ad + .quad 0xf421c3832fe33848 + .quad 0x795ac80d1bf64c42 + .quad 0xb36e706efc7c3484 + .quad 0x73dfc9b4c3c1cf61 + .quad 0xeb1d79c9781cc7e5 + .quad 0x70459adb7daf675c + .quad 0x1b91db4991b42bb3 + .quad 0x572696234b02dcca + .quad 0x9fdf9ee51f8c78dc + .quad 0x5fe162848ce21fd3 + + // 2^52 * 1 * G + + .quad 0xe2790aae4d077c41 + .quad 0x8b938270db7469a3 + .quad 0x6eb632dc8abd16a2 + .quad 0x720814ecaa064b72 + .quad 0x315c29c795115389 + .quad 0xd7e0e507862f74ce + .quad 0x0c4a762185927432 + .quad 0x72de6c984a25a1e4 + .quad 0xae9ab553bf6aa310 + .quad 0x050a50a9806d6e1b + .quad 0x92bb7403adff5139 + .quad 0x0394d27645be618b + + // 2^52 * 2 * G + + .quad 0x4d572251857eedf4 + .quad 0xe3724edde19e93c5 + .quad 0x8a71420e0b797035 + .quad 0x3b3c833687abe743 + .quad 0xf5396425b23545a4 + .quad 0x15a7a27e98fbb296 + .quad 0xab6c52bc636fdd86 + .quad 0x79d995a8419334ee + .quad 0xcd8a8ea61195dd75 + .quad 0xa504d8a81dd9a82f + .quad 0x540dca81a35879b6 + .quad 0x60dd16a379c86a8a + + // 2^52 * 3 * G + + .quad 0x35a2c8487381e559 + .quad 0x596ffea6d78082cb + .quad 0xcb9771ebdba7b653 + .quad 0x5a08b5019b4da685 + .quad 0x3501d6f8153e47b8 + .quad 0xb7a9675414a2f60c + .quad 0x112ee8b6455d9523 + .quad 0x4e62a3c18112ea8a + .quad 0xc8d4ac04516ab786 + .quad 0x595af3215295b23d + .quad 0xd6edd234db0230c1 + .quad 0x0929efe8825b41cc + + // 2^52 * 4 * G + + .quad 0x5f0601d1cbd0f2d3 + .quad 0x736e412f6132bb7f + .quad 0x83604432238dde87 + .quad 0x1e3a5272f5c0753c + .quad 0x8b3172b7ad56651d + .quad 0x01581b7a3fabd717 + .quad 0x2dc94df6424df6e4 + .quad 0x30376e5d2c29284f + .quad 0xd2918da78159a59c + .quad 0x6bdc1cd93f0713f3 + .quad 0x565f7a934acd6590 + .quad 0x53daacec4cb4c128 + + // 2^52 * 5 * G + + .quad 0x4ca73bd79cc8a7d6 + .quad 0x4d4a738f47e9a9b2 + .quad 0xf4cbf12942f5fe00 + .quad 0x01a13ff9bdbf0752 + .quad 0x99852bc3852cfdb0 + .quad 0x2cc12e9559d6ed0b + .quad 0x70f9e2bf9b5ac27b + .quad 0x4f3b8c117959ae99 + .quad 0x55b6c9c82ff26412 + .quad 0x1ac4a8c91fb667a8 + .quad 0xd527bfcfeb778bf2 + .quad 0x303337da7012a3be + + // 2^52 * 6 * G + + .quad 0x955422228c1c9d7c + .quad 0x01fac1371a9b340f + .quad 0x7e8d9177925b48d7 + .quad 0x53f8ad5661b3e31b + .quad 0x976d3ccbfad2fdd1 + .quad 0xcb88839737a640a8 + .quad 0x2ff00c1d6734cb25 + .quad 0x269ff4dc789c2d2b + .quad 0x0c003fbdc08d678d + .quad 0x4d982fa37ead2b17 + .quad 0xc07e6bcdb2e582f1 + .quad 0x296c7291df412a44 + + // 2^52 * 7 * G + + .quad 0x7903de2b33daf397 + .quad 0xd0ff0619c9a624b3 + .quad 0x8a1d252b555b3e18 + .quad 0x2b6d581c52e0b7c0 + .quad 0xdfb23205dab8b59e + .quad 0x465aeaa0c8092250 + .quad 0xd133c1189a725d18 + .quad 0x2327370261f117d1 + .quad 0x3d0543d3623e7986 + .quad 0x679414c2c278a354 + .quad 0xae43f0cc726196f6 + .quad 0x7836c41f8245eaba + + // 2^52 * 8 * G + + .quad 0xe7a254db49e95a81 + .quad 0x5192d5d008b0ad73 + .quad 0x4d20e5b1d00afc07 + .quad 0x5d55f8012cf25f38 + .quad 0xca651e848011937c + .quad 0xc6b0c46e6ef41a28 + .quad 0xb7021ba75f3f8d52 + .quad 0x119dff99ead7b9fd + .quad 0x43eadfcbf4b31d4d + .quad 0xc6503f7411148892 + .quad 0xfeee68c5060d3b17 + .quad 0x329293b3dd4a0ac8 + + // 2^56 * 1 * G + + .quad 0x4e59214fe194961a + .quad 0x49be7dc70d71cd4f + .quad 0x9300cfd23b50f22d + .quad 0x4789d446fc917232 + .quad 0x2879852d5d7cb208 + .quad 0xb8dedd70687df2e7 + .quad 0xdc0bffab21687891 + .quad 0x2b44c043677daa35 + .quad 0x1a1c87ab074eb78e + .quad 0xfac6d18e99daf467 + .quad 0x3eacbbcd484f9067 + .quad 0x60c52eef2bb9a4e4 + + // 2^56 * 2 * G + + .quad 0x0b5d89bc3bfd8bf1 + .quad 0xb06b9237c9f3551a + .quad 0x0e4c16b0d53028f5 + .quad 0x10bc9c312ccfcaab + .quad 0x702bc5c27cae6d11 + .quad 0x44c7699b54a48cab + .quad 0xefbc4056ba492eb2 + .quad 0x70d77248d9b6676d + .quad 0xaa8ae84b3ec2a05b + .quad 0x98699ef4ed1781e0 + .quad 0x794513e4708e85d1 + .quad 0x63755bd3a976f413 + + // 2^56 * 3 * G + + .quad 0xb55fa03e2ad10853 + .quad 0x356f75909ee63569 + .quad 0x9ff9f1fdbe69b890 + .quad 0x0d8cc1c48bc16f84 + .quad 0x3dc7101897f1acb7 + .quad 0x5dda7d5ec165bbd8 + .quad 0x508e5b9c0fa1020f + .quad 0x2763751737c52a56 + .quad 0x029402d36eb419a9 + .quad 0xf0b44e7e77b460a5 + .quad 0xcfa86230d43c4956 + .quad 0x70c2dd8a7ad166e7 + + // 2^56 * 4 * G + + .quad 0x656194509f6fec0e + .quad 0xee2e7ea946c6518d + .quad 0x9733c1f367e09b5c + .quad 0x2e0fac6363948495 + .quad 0x91d4967db8ed7e13 + .quad 0x74252f0ad776817a + .quad 0xe40982e00d852564 + .quad 0x32b8613816a53ce5 + .quad 0x79e7f7bee448cd64 + .quad 0x6ac83a67087886d0 + .quad 0xf89fd4d9a0e4db2e + .quad 0x4179215c735a4f41 + + // 2^56 * 5 * G + + .quad 0x8c7094e7d7dced2a + .quad 0x97fb8ac347d39c70 + .quad 0xe13be033a906d902 + .quad 0x700344a30cd99d76 + .quad 0xe4ae33b9286bcd34 + .quad 0xb7ef7eb6559dd6dc + .quad 0x278b141fb3d38e1f + .quad 0x31fa85662241c286 + .quad 0xaf826c422e3622f4 + .quad 0xc12029879833502d + .quad 0x9bc1b7e12b389123 + .quad 0x24bb2312a9952489 + + // 2^56 * 6 * G + + .quad 0xb1a8ed1732de67c3 + .quad 0x3cb49418461b4948 + .quad 0x8ebd434376cfbcd2 + .quad 0x0fee3e871e188008 + .quad 0x41f80c2af5f85c6b + .quad 0x687284c304fa6794 + .quad 0x8945df99a3ba1bad + .quad 0x0d1d2af9ffeb5d16 + .quad 0xa9da8aa132621edf + .quad 0x30b822a159226579 + .quad 0x4004197ba79ac193 + .quad 0x16acd79718531d76 + + // 2^56 * 7 * G + + .quad 0x72df72af2d9b1d3d + .quad 0x63462a36a432245a + .quad 0x3ecea07916b39637 + .quad 0x123e0ef6b9302309 + .quad 0xc959c6c57887b6ad + .quad 0x94e19ead5f90feba + .quad 0x16e24e62a342f504 + .quad 0x164ed34b18161700 + .quad 0x487ed94c192fe69a + .quad 0x61ae2cea3a911513 + .quad 0x877bf6d3b9a4de27 + .quad 0x78da0fc61073f3eb + + // 2^56 * 8 * G + + .quad 0x5bf15d28e52bc66a + .quad 0x2c47e31870f01a8e + .quad 0x2419afbc06c28bdd + .quad 0x2d25deeb256b173a + .quad 0xa29f80f1680c3a94 + .quad 0x71f77e151ae9e7e6 + .quad 0x1100f15848017973 + .quad 0x054aa4b316b38ddd + .quad 0xdfc8468d19267cb8 + .quad 0x0b28789c66e54daf + .quad 0x2aeb1d2a666eec17 + .quad 0x134610a6ab7da760 + + // 2^60 * 1 * G + + .quad 0xcaf55ec27c59b23f + .quad 0x99aeed3e154d04f2 + .quad 0x68441d72e14141f4 + .quad 0x140345133932a0a2 + .quad 0xd91430e0dc028c3c + .quad 0x0eb955a85217c771 + .quad 0x4b09e1ed2c99a1fa + .quad 0x42881af2bd6a743c + .quad 0x7bfec69aab5cad3d + .quad 0xc23e8cd34cb2cfad + .quad 0x685dd14bfb37d6a2 + .quad 0x0ad6d64415677a18 + + // 2^60 * 2 * G + + .quad 0x781a439e417becb5 + .quad 0x4ac5938cd10e0266 + .quad 0x5da385110692ac24 + .quad 0x11b065a2ade31233 + .quad 0x7914892847927e9f + .quad 0x33dad6ef370aa877 + .quad 0x1f8f24fa11122703 + .quad 0x5265ac2f2adf9592 + .quad 0x405fdd309afcb346 + .quad 0xd9723d4428e63f54 + .quad 0x94c01df05f65aaae + .quad 0x43e4dc3ae14c0809 + + // 2^60 * 3 * G + + .quad 0xbc12c7f1a938a517 + .quad 0x473028ab3180b2e1 + .quad 0x3f78571efbcd254a + .quad 0x74e534426ff6f90f + .quad 0xea6f7ac3adc2c6a3 + .quad 0xd0e928f6e9717c94 + .quad 0xe2d379ead645eaf5 + .quad 0x46dd8785c51ffbbe + .quad 0x709801be375c8898 + .quad 0x4b06dab5e3fd8348 + .quad 0x75880ced27230714 + .quad 0x2b09468fdd2f4c42 + + // 2^60 * 4 * G + + .quad 0x97c749eeb701cb96 + .quad 0x83f438d4b6a369c3 + .quad 0x62962b8b9a402cd9 + .quad 0x6976c7509888df7b + .quad 0x5b97946582ffa02a + .quad 0xda096a51fea8f549 + .quad 0xa06351375f77af9b + .quad 0x1bcfde61201d1e76 + .quad 0x4a4a5490246a59a2 + .quad 0xd63ebddee87fdd90 + .quad 0xd9437c670d2371fa + .quad 0x69e87308d30f8ed6 + + // 2^60 * 5 * G + + .quad 0x435a8bb15656beb0 + .quad 0xf8fac9ba4f4d5bca + .quad 0xb9b278c41548c075 + .quad 0x3eb0ef76e892b622 + .quad 0x0f80bf028bc80303 + .quad 0x6aae16b37a18cefb + .quad 0xdd47ea47d72cd6a3 + .quad 0x61943588f4ed39aa + .quad 0xd26e5c3e91039f85 + .quad 0xc0e9e77df6f33aa9 + .quad 0xe8968c5570066a93 + .quad 0x3c34d1881faaaddd + + // 2^60 * 6 * G + + .quad 0x3f9d2b5ea09f9ec0 + .quad 0x1dab3b6fb623a890 + .quad 0xa09ba3ea72d926c4 + .quad 0x374193513fd8b36d + .quad 0xbd5b0b8f2fffe0d9 + .quad 0x6aa254103ed24fb9 + .quad 0x2ac7d7bcb26821c4 + .quad 0x605b394b60dca36a + .quad 0xb4e856e45a9d1ed2 + .quad 0xefe848766c97a9a2 + .quad 0xb104cf641e5eee7d + .quad 0x2f50b81c88a71c8f + + // 2^60 * 7 * G + + .quad 0x31723c61fc6811bb + .quad 0x9cb450486211800f + .quad 0x768933d347995753 + .quad 0x3491a53502752fcd + .quad 0x2b552ca0a7da522a + .quad 0x3230b336449b0250 + .quad 0xf2c4c5bca4b99fb9 + .quad 0x7b2c674958074a22 + .quad 0xd55165883ed28cdf + .quad 0x12d84fd2d362de39 + .quad 0x0a874ad3e3378e4f + .quad 0x000d2b1f7c763e74 + + // 2^60 * 8 * G + + .quad 0x3d420811d06d4a67 + .quad 0xbefc048590e0ffe3 + .quad 0xf870c6b7bd487bde + .quad 0x6e2a7316319afa28 + .quad 0x9624778c3e94a8ab + .quad 0x0ad6f3cee9a78bec + .quad 0x948ac7810d743c4f + .quad 0x76627935aaecfccc + .quad 0x56a8ac24d6d59a9f + .quad 0xc8db753e3096f006 + .quad 0x477f41e68f4c5299 + .quad 0x588d851cf6c86114 + + // 2^64 * 1 * G + + .quad 0x51138ec78df6b0fe + .quad 0x5397da89e575f51b + .quad 0x09207a1d717af1b9 + .quad 0x2102fdba2b20d650 + .quad 0xcd2a65e777d1f515 + .quad 0x548991878faa60f1 + .quad 0xb1b73bbcdabc06e5 + .quad 0x654878cba97cc9fb + .quad 0x969ee405055ce6a1 + .quad 0x36bca7681251ad29 + .quad 0x3a1af517aa7da415 + .quad 0x0ad725db29ecb2ba + + // 2^64 * 2 * G + + .quad 0xdc4267b1834e2457 + .quad 0xb67544b570ce1bc5 + .quad 0x1af07a0bf7d15ed7 + .quad 0x4aefcffb71a03650 + .quad 0xfec7bc0c9b056f85 + .quad 0x537d5268e7f5ffd7 + .quad 0x77afc6624312aefa + .quad 0x4f675f5302399fd9 + .quad 0xc32d36360415171e + .quad 0xcd2bef118998483b + .quad 0x870a6eadd0945110 + .quad 0x0bccbb72a2a86561 + + // 2^64 * 3 * G + + .quad 0x185e962feab1a9c8 + .quad 0x86e7e63565147dcd + .quad 0xb092e031bb5b6df2 + .quad 0x4024f0ab59d6b73e + .quad 0x186d5e4c50fe1296 + .quad 0xe0397b82fee89f7e + .quad 0x3bc7f6c5507031b0 + .quad 0x6678fd69108f37c2 + .quad 0x1586fa31636863c2 + .quad 0x07f68c48572d33f2 + .quad 0x4f73cc9f789eaefc + .quad 0x2d42e2108ead4701 + + // 2^64 * 4 * G + + .quad 0x97f5131594dfd29b + .quad 0x6155985d313f4c6a + .quad 0xeba13f0708455010 + .quad 0x676b2608b8d2d322 + .quad 0x21717b0d0f537593 + .quad 0x914e690b131e064c + .quad 0x1bb687ae752ae09f + .quad 0x420bf3a79b423c6e + .quad 0x8138ba651c5b2b47 + .quad 0x8671b6ec311b1b80 + .quad 0x7bff0cb1bc3135b0 + .quad 0x745d2ffa9c0cf1e0 + + // 2^64 * 5 * G + + .quad 0xbf525a1e2bc9c8bd + .quad 0xea5b260826479d81 + .quad 0xd511c70edf0155db + .quad 0x1ae23ceb960cf5d0 + .quad 0x6036df5721d34e6a + .quad 0xb1db8827997bb3d0 + .quad 0xd3c209c3c8756afa + .quad 0x06e15be54c1dc839 + .quad 0x5b725d871932994a + .quad 0x32351cb5ceb1dab0 + .quad 0x7dc41549dab7ca05 + .quad 0x58ded861278ec1f7 + + // 2^64 * 6 * G + + .quad 0xd8173793f266c55c + .quad 0xc8c976c5cc454e49 + .quad 0x5ce382f8bc26c3a8 + .quad 0x2ff39de85485f6f9 + .quad 0x2dfb5ba8b6c2c9a8 + .quad 0x48eeef8ef52c598c + .quad 0x33809107f12d1573 + .quad 0x08ba696b531d5bd8 + .quad 0x77ed3eeec3efc57a + .quad 0x04e05517d4ff4811 + .quad 0xea3d7a3ff1a671cb + .quad 0x120633b4947cfe54 + + // 2^64 * 7 * G + + .quad 0x0b94987891610042 + .quad 0x4ee7b13cecebfae8 + .quad 0x70be739594f0a4c0 + .quad 0x35d30a99b4d59185 + .quad 0x82bd31474912100a + .quad 0xde237b6d7e6fbe06 + .quad 0xe11e761911ea79c6 + .quad 0x07433be3cb393bde + .quad 0xff7944c05ce997f4 + .quad 0x575d3de4b05c51a3 + .quad 0x583381fd5a76847c + .quad 0x2d873ede7af6da9f + + // 2^64 * 8 * G + + .quad 0x157a316443373409 + .quad 0xfab8b7eef4aa81d9 + .quad 0xb093fee6f5a64806 + .quad 0x2e773654707fa7b6 + .quad 0xaa6202e14e5df981 + .quad 0xa20d59175015e1f5 + .quad 0x18a275d3bae21d6c + .quad 0x0543618a01600253 + .quad 0x0deabdf4974c23c1 + .quad 0xaa6f0a259dce4693 + .quad 0x04202cb8a29aba2c + .quad 0x4b1443362d07960d + + // 2^68 * 1 * G + + .quad 0x47b837f753242cec + .quad 0x256dc48cc04212f2 + .quad 0xe222fbfbe1d928c5 + .quad 0x48ea295bad8a2c07 + .quad 0x299b1c3f57c5715e + .quad 0x96cb929e6b686d90 + .quad 0x3004806447235ab3 + .quad 0x2c435c24a44d9fe1 + .quad 0x0607c97c80f8833f + .quad 0x0e851578ca25ec5b + .quad 0x54f7450b161ebb6f + .quad 0x7bcb4792a0def80e + + // 2^68 * 2 * G + + .quad 0x8487e3d02bc73659 + .quad 0x4baf8445059979df + .quad 0xd17c975adcad6fbf + .quad 0x57369f0bdefc96b6 + .quad 0x1cecd0a0045224c2 + .quad 0x757f1b1b69e53952 + .quad 0x775b7a925289f681 + .quad 0x1b6cc62016736148 + .quad 0xf1a9990175638698 + .quad 0x353dd1beeeaa60d3 + .quad 0x849471334c9ba488 + .quad 0x63fa6e6843ade311 + + // 2^68 * 3 * G + + .quad 0xd15c20536597c168 + .quad 0x9f73740098d28789 + .quad 0x18aee7f13257ba1f + .quad 0x3418bfda07346f14 + .quad 0x2195becdd24b5eb7 + .quad 0x5e41f18cc0cd44f9 + .quad 0xdf28074441ca9ede + .quad 0x07073b98f35b7d67 + .quad 0xd03c676c4ce530d4 + .quad 0x0b64c0473b5df9f4 + .quad 0x065cef8b19b3a31e + .quad 0x3084d661533102c9 + + // 2^68 * 4 * G + + .quad 0xe1f6b79ebf8469ad + .quad 0x15801004e2663135 + .quad 0x9a498330af74181b + .quad 0x3ba2504f049b673c + .quad 0x9a6ce876760321fd + .quad 0x7fe2b5109eb63ad8 + .quad 0x00e7d4ae8ac80592 + .quad 0x73d86b7abb6f723a + .quad 0x0b52b5606dba5ab6 + .quad 0xa9134f0fbbb1edab + .quad 0x30a9520d9b04a635 + .quad 0x6813b8f37973e5db + + // 2^68 * 5 * G + + .quad 0x9854b054334127c1 + .quad 0x105d047882fbff25 + .quad 0xdb49f7f944186f4f + .quad 0x1768e838bed0b900 + .quad 0xf194ca56f3157e29 + .quad 0x136d35705ef528a5 + .quad 0xdd4cef778b0599bc + .quad 0x7d5472af24f833ed + .quad 0xd0ef874daf33da47 + .quad 0x00d3be5db6e339f9 + .quad 0x3f2a8a2f9c9ceece + .quad 0x5d1aeb792352435a + + // 2^68 * 6 * G + + .quad 0xf59e6bb319cd63ca + .quad 0x670c159221d06839 + .quad 0xb06d565b2150cab6 + .quad 0x20fb199d104f12a3 + .quad 0x12c7bfaeb61ba775 + .quad 0xb84e621fe263bffd + .quad 0x0b47a5c35c840dcf + .quad 0x7e83be0bccaf8634 + .quad 0x61943dee6d99c120 + .quad 0x86101f2e460b9fe0 + .quad 0x6bb2f1518ee8598d + .quad 0x76b76289fcc475cc + + // 2^68 * 7 * G + + .quad 0x791b4cc1756286fa + .quad 0xdbced317d74a157c + .quad 0x7e732421ea72bde6 + .quad 0x01fe18491131c8e9 + .quad 0x4245f1a1522ec0b3 + .quad 0x558785b22a75656d + .quad 0x1d485a2548a1b3c0 + .quad 0x60959eccd58fe09f + .quad 0x3ebfeb7ba8ed7a09 + .quad 0x49fdc2bbe502789c + .quad 0x44ebce5d3c119428 + .quad 0x35e1eb55be947f4a + + // 2^68 * 8 * G + + .quad 0xdbdae701c5738dd3 + .quad 0xf9c6f635b26f1bee + .quad 0x61e96a8042f15ef4 + .quad 0x3aa1d11faf60a4d8 + .quad 0x14fd6dfa726ccc74 + .quad 0x3b084cfe2f53b965 + .quad 0xf33ae4f552a2c8b4 + .quad 0x59aab07a0d40166a + .quad 0x77bcec4c925eac25 + .quad 0x1848718460137738 + .quad 0x5b374337fea9f451 + .quad 0x1865e78ec8e6aa46 + + // 2^72 * 1 * G + + .quad 0xccc4b7c7b66e1f7a + .quad 0x44157e25f50c2f7e + .quad 0x3ef06dfc713eaf1c + .quad 0x582f446752da63f7 + .quad 0x967c54e91c529ccb + .quad 0x30f6269264c635fb + .quad 0x2747aff478121965 + .quad 0x17038418eaf66f5c + .quad 0xc6317bd320324ce4 + .quad 0xa81042e8a4488bc4 + .quad 0xb21ef18b4e5a1364 + .quad 0x0c2a1c4bcda28dc9 + + // 2^72 * 2 * G + + .quad 0xd24dc7d06f1f0447 + .quad 0xb2269e3edb87c059 + .quad 0xd15b0272fbb2d28f + .quad 0x7c558bd1c6f64877 + .quad 0xedc4814869bd6945 + .quad 0x0d6d907dbe1c8d22 + .quad 0xc63bd212d55cc5ab + .quad 0x5a6a9b30a314dc83 + .quad 0xd0ec1524d396463d + .quad 0x12bb628ac35a24f0 + .quad 0xa50c3a791cbc5fa4 + .quad 0x0404a5ca0afbafc3 + + // 2^72 * 3 * G + + .quad 0x8c1f40070aa743d6 + .quad 0xccbad0cb5b265ee8 + .quad 0x574b046b668fd2de + .quad 0x46395bfdcadd9633 + .quad 0x62bc9e1b2a416fd1 + .quad 0xb5c6f728e350598b + .quad 0x04343fd83d5d6967 + .quad 0x39527516e7f8ee98 + .quad 0x117fdb2d1a5d9a9c + .quad 0x9c7745bcd1005c2a + .quad 0xefd4bef154d56fea + .quad 0x76579a29e822d016 + + // 2^72 * 4 * G + + .quad 0x45b68e7e49c02a17 + .quad 0x23cd51a2bca9a37f + .quad 0x3ed65f11ec224c1b + .quad 0x43a384dc9e05bdb1 + .quad 0x333cb51352b434f2 + .quad 0xd832284993de80e1 + .quad 0xb5512887750d35ce + .quad 0x02c514bb2a2777c1 + .quad 0x684bd5da8bf1b645 + .quad 0xfb8bd37ef6b54b53 + .quad 0x313916d7a9b0d253 + .quad 0x1160920961548059 + + // 2^72 * 5 * G + + .quad 0xb44d166929dacfaa + .quad 0xda529f4c8413598f + .quad 0xe9ef63ca453d5559 + .quad 0x351e125bc5698e0b + .quad 0x7a385616369b4dcd + .quad 0x75c02ca7655c3563 + .quad 0x7dc21bf9d4f18021 + .quad 0x2f637d7491e6e042 + .quad 0xd4b49b461af67bbe + .quad 0xd603037ac8ab8961 + .quad 0x71dee19ff9a699fb + .quad 0x7f182d06e7ce2a9a + + // 2^72 * 6 * G + + .quad 0x7a7c8e64ab0168ec + .quad 0xcb5a4a5515edc543 + .quad 0x095519d347cd0eda + .quad 0x67d4ac8c343e93b0 + .quad 0x09454b728e217522 + .quad 0xaa58e8f4d484b8d8 + .quad 0xd358254d7f46903c + .quad 0x44acc043241c5217 + .quad 0x1c7d6bbb4f7a5777 + .quad 0x8b35fed4918313e1 + .quad 0x4adca1c6c96b4684 + .quad 0x556d1c8312ad71bd + + // 2^72 * 7 * G + + .quad 0x17ef40e30c8d3982 + .quad 0x31f7073e15a3fa34 + .quad 0x4f21f3cb0773646e + .quad 0x746c6c6d1d824eff + .quad 0x81f06756b11be821 + .quad 0x0faff82310a3f3dd + .quad 0xf8b2d0556a99465d + .quad 0x097abe38cc8c7f05 + .quad 0x0c49c9877ea52da4 + .quad 0x4c4369559bdc1d43 + .quad 0x022c3809f7ccebd2 + .quad 0x577e14a34bee84bd + + // 2^72 * 8 * G + + .quad 0xf0e268ac61a73b0a + .quad 0xf2fafa103791a5f5 + .quad 0xc1e13e826b6d00e9 + .quad 0x60fa7ee96fd78f42 + .quad 0x94fecebebd4dd72b + .quad 0xf46a4fda060f2211 + .quad 0x124a5977c0c8d1ff + .quad 0x705304b8fb009295 + .quad 0xb63d1d354d296ec6 + .quad 0xf3c3053e5fad31d8 + .quad 0x670b958cb4bd42ec + .quad 0x21398e0ca16353fd + + // 2^76 * 1 * G + + .quad 0x216ab2ca8da7d2ef + .quad 0x366ad9dd99f42827 + .quad 0xae64b9004fdd3c75 + .quad 0x403a395b53909e62 + .quad 0x86c5fc16861b7e9a + .quad 0xf6a330476a27c451 + .quad 0x01667267a1e93597 + .quad 0x05ffb9cd6082dfeb + .quad 0xa617fa9ff53f6139 + .quad 0x60f2b5e513e66cb6 + .quad 0xd7a8beefb3448aa4 + .quad 0x7a2932856f5ea192 + + // 2^76 * 2 * G + + .quad 0x0b39d761b02de888 + .quad 0x5f550e7ed2414e1f + .quad 0xa6bfa45822e1a940 + .quad 0x050a2f7dfd447b99 + .quad 0xb89c444879639302 + .quad 0x4ae4f19350c67f2c + .quad 0xf0b35da8c81af9c6 + .quad 0x39d0003546871017 + .quad 0x437c3b33a650db77 + .quad 0x6bafe81dbac52bb2 + .quad 0xfe99402d2db7d318 + .quad 0x2b5b7eec372ba6ce + + // 2^76 * 3 * G + + .quad 0xb3bc4bbd83f50eef + .quad 0x508f0c998c927866 + .quad 0x43e76587c8b7e66e + .quad 0x0f7655a3a47f98d9 + .quad 0xa694404d613ac8f4 + .quad 0x500c3c2bfa97e72c + .quad 0x874104d21fcec210 + .quad 0x1b205fb38604a8ee + .quad 0x55ecad37d24b133c + .quad 0x441e147d6038c90b + .quad 0x656683a1d62c6fee + .quad 0x0157d5dc87e0ecae + + // 2^76 * 4 * G + + .quad 0xf2a7af510354c13d + .quad 0xd7a0b145aa372b60 + .quad 0x2869b96a05a3d470 + .quad 0x6528e42d82460173 + .quad 0x95265514d71eb524 + .quad 0xe603d8815df14593 + .quad 0x147cdf410d4de6b7 + .quad 0x5293b1730437c850 + .quad 0x23d0e0814bccf226 + .quad 0x92c745cd8196fb93 + .quad 0x8b61796c59541e5b + .quad 0x40a44df0c021f978 + + // 2^76 * 5 * G + + .quad 0xdaa869894f20ea6a + .quad 0xea14a3d14c620618 + .quad 0x6001fccb090bf8be + .quad 0x35f4e822947e9cf0 + .quad 0x86c96e514bc5d095 + .quad 0xf20d4098fca6804a + .quad 0x27363d89c826ea5d + .quad 0x39ca36565719cacf + .quad 0x97506f2f6f87b75c + .quad 0xc624aea0034ae070 + .quad 0x1ec856e3aad34dd6 + .quad 0x055b0be0e440e58f + + // 2^76 * 6 * G + + .quad 0x6469a17d89735d12 + .quad 0xdb6f27d5e662b9f1 + .quad 0x9fcba3286a395681 + .quad 0x363b8004d269af25 + .quad 0x4d12a04b6ea33da2 + .quad 0x57cf4c15e36126dd + .quad 0x90ec9675ee44d967 + .quad 0x64ca348d2a985aac + .quad 0x99588e19e4c4912d + .quad 0xefcc3b4e1ca5ce6b + .quad 0x4522ea60fa5b98d5 + .quad 0x7064bbab1de4a819 + + // 2^76 * 7 * G + + .quad 0xb919e1515a770641 + .quad 0xa9a2e2c74e7f8039 + .quad 0x7527250b3df23109 + .quad 0x756a7330ac27b78b + .quad 0xa290c06142542129 + .quad 0xf2e2c2aebe8d5b90 + .quad 0xcf2458db76abfe1b + .quad 0x02157ade83d626bf + .quad 0x3e46972a1b9a038b + .quad 0x2e4ee66a7ee03fb4 + .quad 0x81a248776edbb4ca + .quad 0x1a944ee88ecd0563 + + // 2^76 * 8 * G + + .quad 0xd5a91d1151039372 + .quad 0x2ed377b799ca26de + .quad 0xa17202acfd366b6b + .quad 0x0730291bd6901995 + .quad 0xbb40a859182362d6 + .quad 0xb99f55778a4d1abb + .quad 0x8d18b427758559f6 + .quad 0x26c20fe74d26235a + .quad 0x648d1d9fe9cc22f5 + .quad 0x66bc561928dd577c + .quad 0x47d3ed21652439d1 + .quad 0x49d271acedaf8b49 + + // 2^80 * 1 * G + + .quad 0x89f5058a382b33f3 + .quad 0x5ae2ba0bad48c0b4 + .quad 0x8f93b503a53db36e + .quad 0x5aa3ed9d95a232e6 + .quad 0x2798aaf9b4b75601 + .quad 0x5eac72135c8dad72 + .quad 0xd2ceaa6161b7a023 + .quad 0x1bbfb284e98f7d4e + .quad 0x656777e9c7d96561 + .quad 0xcb2b125472c78036 + .quad 0x65053299d9506eee + .quad 0x4a07e14e5e8957cc + + // 2^80 * 2 * G + + .quad 0x4ee412cb980df999 + .quad 0xa315d76f3c6ec771 + .quad 0xbba5edde925c77fd + .quad 0x3f0bac391d313402 + .quad 0x240b58cdc477a49b + .quad 0xfd38dade6447f017 + .quad 0x19928d32a7c86aad + .quad 0x50af7aed84afa081 + .quad 0x6e4fde0115f65be5 + .quad 0x29982621216109b2 + .quad 0x780205810badd6d9 + .quad 0x1921a316baebd006 + + // 2^80 * 3 * G + + .quad 0x89422f7edfb870fc + .quad 0x2c296beb4f76b3bd + .quad 0x0738f1d436c24df7 + .quad 0x6458df41e273aeb0 + .quad 0xd75aad9ad9f3c18b + .quad 0x566a0eef60b1c19c + .quad 0x3e9a0bac255c0ed9 + .quad 0x7b049deca062c7f5 + .quad 0xdccbe37a35444483 + .quad 0x758879330fedbe93 + .quad 0x786004c312c5dd87 + .quad 0x6093dccbc2950e64 + + // 2^80 * 4 * G + + .quad 0x1ff39a8585e0706d + .quad 0x36d0a5d8b3e73933 + .quad 0x43b9f2e1718f453b + .quad 0x57d1ea084827a97c + .quad 0x6bdeeebe6084034b + .quad 0x3199c2b6780fb854 + .quad 0x973376abb62d0695 + .quad 0x6e3180c98b647d90 + .quad 0xee7ab6e7a128b071 + .quad 0xa4c1596d93a88baa + .quad 0xf7b4de82b2216130 + .quad 0x363e999ddd97bd18 + + // 2^80 * 5 * G + + .quad 0x96a843c135ee1fc4 + .quad 0x976eb35508e4c8cf + .quad 0xb42f6801b58cd330 + .quad 0x48ee9b78693a052b + .quad 0x2f1848dce24baec6 + .quad 0x769b7255babcaf60 + .quad 0x90cb3c6e3cefe931 + .quad 0x231f979bc6f9b355 + .quad 0x5c31de4bcc2af3c6 + .quad 0xb04bb030fe208d1f + .quad 0xb78d7009c14fb466 + .quad 0x079bfa9b08792413 + + // 2^80 * 6 * G + + .quad 0xe3903a51da300df4 + .quad 0x843964233da95ab0 + .quad 0xed3cf12d0b356480 + .quad 0x038c77f684817194 + .quad 0xf3c9ed80a2d54245 + .quad 0x0aa08b7877f63952 + .quad 0xd76dac63d1085475 + .quad 0x1ef4fb159470636b + .quad 0x854e5ee65b167bec + .quad 0x59590a4296d0cdc2 + .quad 0x72b2df3498102199 + .quad 0x575ee92a4a0bff56 + + // 2^80 * 7 * G + + .quad 0xd4c080908a182fcf + .quad 0x30e170c299489dbd + .quad 0x05babd5752f733de + .quad 0x43d4e7112cd3fd00 + .quad 0x5d46bc450aa4d801 + .quad 0xc3af1227a533b9d8 + .quad 0x389e3b262b8906c2 + .quad 0x200a1e7e382f581b + .quad 0x518db967eaf93ac5 + .quad 0x71bc989b056652c0 + .quad 0xfe2b85d9567197f5 + .quad 0x050eca52651e4e38 + + // 2^80 * 8 * G + + .quad 0xc3431ade453f0c9c + .quad 0xe9f5045eff703b9b + .quad 0xfcd97ac9ed847b3d + .quad 0x4b0ee6c21c58f4c6 + .quad 0x97ac397660e668ea + .quad 0x9b19bbfe153ab497 + .quad 0x4cb179b534eca79f + .quad 0x6151c09fa131ae57 + .quad 0x3af55c0dfdf05d96 + .quad 0xdd262ee02ab4ee7a + .quad 0x11b2bb8712171709 + .quad 0x1fef24fa800f030b + + // 2^84 * 1 * G + + .quad 0xb496123a6b6c6609 + .quad 0xa750fe8580ab5938 + .quad 0xf471bf39b7c27a5f + .quad 0x507903ce77ac193c + .quad 0xff91a66a90166220 + .quad 0xf22552ae5bf1e009 + .quad 0x7dff85d87f90df7c + .quad 0x4f620ffe0c736fb9 + .quad 0x62f90d65dfde3e34 + .quad 0xcf28c592b9fa5fad + .quad 0x99c86ef9c6164510 + .quad 0x25d448044a256c84 + + // 2^84 * 2 * G + + .quad 0xbd68230ec7e9b16f + .quad 0x0eb1b9c1c1c5795d + .quad 0x7943c8c495b6b1ff + .quad 0x2f9faf620bbacf5e + .quad 0x2c7c4415c9022b55 + .quad 0x56a0d241812eb1fe + .quad 0xf02ea1c9d7b65e0d + .quad 0x4180512fd5323b26 + .quad 0xa4ff3e698a48a5db + .quad 0xba6a3806bd95403b + .quad 0x9f7ce1af47d5b65d + .quad 0x15e087e55939d2fb + + // 2^84 * 3 * G + + .quad 0x12207543745c1496 + .quad 0xdaff3cfdda38610c + .quad 0xe4e797272c71c34f + .quad 0x39c07b1934bdede9 + .quad 0x8894186efb963f38 + .quad 0x48a00e80dc639bd5 + .quad 0xa4e8092be96c1c99 + .quad 0x5a097d54ca573661 + .quad 0x2d45892b17c9e755 + .quad 0xd033fd7289308df8 + .quad 0x6c2fe9d9525b8bd9 + .quad 0x2edbecf1c11cc079 + + // 2^84 * 4 * G + + .quad 0x1616a4e3c715a0d2 + .quad 0x53623cb0f8341d4d + .quad 0x96ef5329c7e899cb + .quad 0x3d4e8dbba668baa6 + .quad 0xee0f0fddd087a25f + .quad 0x9c7531555c3e34ee + .quad 0x660c572e8fab3ab5 + .quad 0x0854fc44544cd3b2 + .quad 0x61eba0c555edad19 + .quad 0x24b533fef0a83de6 + .quad 0x3b77042883baa5f8 + .quad 0x678f82b898a47e8d + + // 2^84 * 5 * G + + .quad 0xb1491d0bd6900c54 + .quad 0x3539722c9d132636 + .quad 0x4db928920b362bc9 + .quad 0x4d7cd1fea68b69df + .quad 0x1e09d94057775696 + .quad 0xeed1265c3cd951db + .quad 0xfa9dac2b20bce16f + .quad 0x0f7f76e0e8d089f4 + .quad 0x36d9ebc5d485b00c + .quad 0xa2596492e4adb365 + .quad 0xc1659480c2119ccd + .quad 0x45306349186e0d5f + + // 2^84 * 6 * G + + .quad 0x94ddd0c1a6cdff1d + .quad 0x55f6f115e84213ae + .quad 0x6c935f85992fcf6a + .quad 0x067ee0f54a37f16f + .quad 0x96a414ec2b072491 + .quad 0x1bb2218127a7b65b + .quad 0x6d2849596e8a4af0 + .quad 0x65f3b08ccd27765f + .quad 0xecb29fff199801f7 + .quad 0x9d361d1fa2a0f72f + .quad 0x25f11d2375fd2f49 + .quad 0x124cefe80fe10fe2 + + // 2^84 * 7 * G + + .quad 0x4c126cf9d18df255 + .quad 0xc1d471e9147a63b6 + .quad 0x2c6d3c73f3c93b5f + .quad 0x6be3a6a2e3ff86a2 + .quad 0x1518e85b31b16489 + .quad 0x8faadcb7db710bfb + .quad 0x39b0bdf4a14ae239 + .quad 0x05f4cbea503d20c1 + .quad 0xce040e9ec04145bc + .quad 0xc71ff4e208f6834c + .quad 0xbd546e8dab8847a3 + .quad 0x64666aa0a4d2aba5 + + // 2^84 * 8 * G + + .quad 0x6841435a7c06d912 + .quad 0xca123c21bb3f830b + .quad 0xd4b37b27b1cbe278 + .quad 0x1d753b84c76f5046 + .quad 0xb0c53bf73337e94c + .quad 0x7cb5697e11e14f15 + .quad 0x4b84abac1930c750 + .quad 0x28dd4abfe0640468 + .quad 0x7dc0b64c44cb9f44 + .quad 0x18a3e1ace3925dbf + .quad 0x7a3034862d0457c4 + .quad 0x4c498bf78a0c892e + + // 2^88 * 1 * G + + .quad 0x37d653fb1aa73196 + .quad 0x0f9495303fd76418 + .quad 0xad200b09fb3a17b2 + .quad 0x544d49292fc8613e + .quad 0x22d2aff530976b86 + .quad 0x8d90b806c2d24604 + .quad 0xdca1896c4de5bae5 + .quad 0x28005fe6c8340c17 + .quad 0x6aefba9f34528688 + .quad 0x5c1bff9425107da1 + .quad 0xf75bbbcd66d94b36 + .quad 0x72e472930f316dfa + + // 2^88 * 2 * G + + .quad 0x2695208c9781084f + .quad 0xb1502a0b23450ee1 + .quad 0xfd9daea603efde02 + .quad 0x5a9d2e8c2733a34c + .quad 0x07f3f635d32a7627 + .quad 0x7aaa4d865f6566f0 + .quad 0x3c85e79728d04450 + .quad 0x1fee7f000fe06438 + .quad 0x765305da03dbf7e5 + .quad 0xa4daf2491434cdbd + .quad 0x7b4ad5cdd24a88ec + .quad 0x00f94051ee040543 + + // 2^88 * 3 * G + + .quad 0x8d356b23c3d330b2 + .quad 0xf21c8b9bb0471b06 + .quad 0xb36c316c6e42b83c + .quad 0x07d79c7e8beab10d + .quad 0xd7ef93bb07af9753 + .quad 0x583ed0cf3db766a7 + .quad 0xce6998bf6e0b1ec5 + .quad 0x47b7ffd25dd40452 + .quad 0x87fbfb9cbc08dd12 + .quad 0x8a066b3ae1eec29b + .quad 0x0d57242bdb1fc1bf + .quad 0x1c3520a35ea64bb6 + + // 2^88 * 4 * G + + .quad 0x80d253a6bccba34a + .quad 0x3e61c3a13838219b + .quad 0x90c3b6019882e396 + .quad 0x1c3d05775d0ee66f + .quad 0xcda86f40216bc059 + .quad 0x1fbb231d12bcd87e + .quad 0xb4956a9e17c70990 + .quad 0x38750c3b66d12e55 + .quad 0x692ef1409422e51a + .quad 0xcbc0c73c2b5df671 + .quad 0x21014fe7744ce029 + .quad 0x0621e2c7d330487c + + // 2^88 * 5 * G + + .quad 0xaf9860cc8259838d + .quad 0x90ea48c1c69f9adc + .quad 0x6526483765581e30 + .quad 0x0007d6097bd3a5bc + .quad 0xb7ae1796b0dbf0f3 + .quad 0x54dfafb9e17ce196 + .quad 0x25923071e9aaa3b4 + .quad 0x5d8e589ca1002e9d + .quad 0xc0bf1d950842a94b + .quad 0xb2d3c363588f2e3e + .quad 0x0a961438bb51e2ef + .quad 0x1583d7783c1cbf86 + + // 2^88 * 6 * G + + .quad 0xeceea2ef5da27ae1 + .quad 0x597c3a1455670174 + .quad 0xc9a62a126609167a + .quad 0x252a5f2e81ed8f70 + .quad 0x90034704cc9d28c7 + .quad 0x1d1b679ef72cc58f + .quad 0x16e12b5fbe5b8726 + .quad 0x4958064e83c5580a + .quad 0x0d2894265066e80d + .quad 0xfcc3f785307c8c6b + .quad 0x1b53da780c1112fd + .quad 0x079c170bd843b388 + + // 2^88 * 7 * G + + .quad 0x0506ece464fa6fff + .quad 0xbee3431e6205e523 + .quad 0x3579422451b8ea42 + .quad 0x6dec05e34ac9fb00 + .quad 0xcdd6cd50c0d5d056 + .quad 0x9af7686dbb03573b + .quad 0x3ca6723ff3c3ef48 + .quad 0x6768c0d7317b8acc + .quad 0x94b625e5f155c1b3 + .quad 0x417bf3a7997b7b91 + .quad 0xc22cbddc6d6b2600 + .quad 0x51445e14ddcd52f4 + + // 2^88 * 8 * G + + .quad 0x57502b4b3b144951 + .quad 0x8e67ff6b444bbcb3 + .quad 0xb8bd6927166385db + .quad 0x13186f31e39295c8 + .quad 0x893147ab2bbea455 + .quad 0x8c53a24f92079129 + .quad 0x4b49f948be30f7a7 + .quad 0x12e990086e4fd43d + .quad 0xf10c96b37fdfbb2e + .quad 0x9f9a935e121ceaf9 + .quad 0xdf1136c43a5b983f + .quad 0x77b2e3f05d3e99af + + // 2^92 * 1 * G + + .quad 0xfd0d75879cf12657 + .quad 0xe82fef94e53a0e29 + .quad 0xcc34a7f05bbb4be7 + .quad 0x0b251172a50c38a2 + .quad 0x9532f48fcc5cd29b + .quad 0x2ba851bea3ce3671 + .quad 0x32dacaa051122941 + .quad 0x478d99d9350004f2 + .quad 0x1d5ad94890bb02c0 + .quad 0x50e208b10ec25115 + .quad 0xa26a22894ef21702 + .quad 0x4dc923343b524805 + + // 2^92 * 2 * G + + .quad 0xe3828c400f8086b6 + .quad 0x3f77e6f7979f0dc8 + .quad 0x7ef6de304df42cb4 + .quad 0x5265797cb6abd784 + .quad 0x3ad3e3ebf36c4975 + .quad 0xd75d25a537862125 + .quad 0xe873943da025a516 + .quad 0x6bbc7cb4c411c847 + .quad 0x3c6f9cd1d4a50d56 + .quad 0xb6244077c6feab7e + .quad 0x6ff9bf483580972e + .quad 0x00375883b332acfb + + // 2^92 * 3 * G + + .quad 0x0001b2cd28cb0940 + .quad 0x63fb51a06f1c24c9 + .quad 0xb5ad8691dcd5ca31 + .quad 0x67238dbd8c450660 + .quad 0xc98bec856c75c99c + .quad 0xe44184c000e33cf4 + .quad 0x0a676b9bba907634 + .quad 0x669e2cb571f379d7 + .quad 0xcb116b73a49bd308 + .quad 0x025aad6b2392729e + .quad 0xb4793efa3f55d9b1 + .quad 0x72a1056140678bb9 + + // 2^92 * 4 * G + + .quad 0xa2b6812b1cc9249d + .quad 0x62866eee21211f58 + .quad 0x2cb5c5b85df10ece + .quad 0x03a6b259e263ae00 + .quad 0x0d8d2909e2e505b6 + .quad 0x98ca78abc0291230 + .quad 0x77ef5569a9b12327 + .quad 0x7c77897b81439b47 + .quad 0xf1c1b5e2de331cb5 + .quad 0x5a9f5d8e15fca420 + .quad 0x9fa438f17bd932b1 + .quad 0x2a381bf01c6146e7 + + // 2^92 * 5 * G + + .quad 0xac9b9879cfc811c1 + .quad 0x8b7d29813756e567 + .quad 0x50da4e607c70edfc + .quad 0x5dbca62f884400b6 + .quad 0xf7c0be32b534166f + .quad 0x27e6ca6419cf70d4 + .quad 0x934df7d7a957a759 + .quad 0x5701461dabdec2aa + .quad 0x2c6747402c915c25 + .quad 0x1bdcd1a80b0d340a + .quad 0x5e5601bd07b43f5f + .quad 0x2555b4e05539a242 + + // 2^92 * 6 * G + + .quad 0x6fc09f5266ddd216 + .quad 0xdce560a7c8e37048 + .quad 0xec65939da2df62fd + .quad 0x7a869ae7e52ed192 + .quad 0x78409b1d87e463d4 + .quad 0xad4da95acdfb639d + .quad 0xec28773755259b9c + .quad 0x69c806e9c31230ab + .quad 0x7b48f57414bb3f22 + .quad 0x68c7cee4aedccc88 + .quad 0xed2f936179ed80be + .quad 0x25d70b885f77bc4b + + // 2^92 * 7 * G + + .quad 0x4151c3d9762bf4de + .quad 0x083f435f2745d82b + .quad 0x29775a2e0d23ddd5 + .quad 0x138e3a6269a5db24 + .quad 0x98459d29bb1ae4d4 + .quad 0x56b9c4c739f954ec + .quad 0x832743f6c29b4b3e + .quad 0x21ea8e2798b6878a + .quad 0x87bef4b46a5a7b9c + .quad 0xd2299d1b5fc1d062 + .quad 0x82409818dd321648 + .quad 0x5c5abeb1e5a2e03d + + // 2^92 * 8 * G + + .quad 0x14722af4b73c2ddb + .quad 0xbc470c5f5a05060d + .quad 0x00943eac2581b02e + .quad 0x0e434b3b1f499c8f + .quad 0x02cde6de1306a233 + .quad 0x7b5a52a2116f8ec7 + .quad 0xe1c681f4c1163b5b + .quad 0x241d350660d32643 + .quad 0x6be4404d0ebc52c7 + .quad 0xae46233bb1a791f5 + .quad 0x2aec170ed25db42b + .quad 0x1d8dfd966645d694 + + // 2^96 * 1 * G + + .quad 0x296fa9c59c2ec4de + .quad 0xbc8b61bf4f84f3cb + .quad 0x1c7706d917a8f908 + .quad 0x63b795fc7ad3255d + .quad 0xd598639c12ddb0a4 + .quad 0xa5d19f30c024866b + .quad 0xd17c2f0358fce460 + .quad 0x07a195152e095e8a + .quad 0xa8368f02389e5fc8 + .quad 0x90433b02cf8de43b + .quad 0xafa1fd5dc5412643 + .quad 0x3e8fe83d032f0137 + + // 2^96 * 2 * G + + .quad 0x2f8b15b90570a294 + .quad 0x94f2427067084549 + .quad 0xde1c5ae161bbfd84 + .quad 0x75ba3b797fac4007 + .quad 0x08704c8de8efd13c + .quad 0xdfc51a8e33e03731 + .quad 0xa59d5da51260cde3 + .quad 0x22d60899a6258c86 + .quad 0x6239dbc070cdd196 + .quad 0x60fe8a8b6c7d8a9a + .quad 0xb38847bceb401260 + .quad 0x0904d07b87779e5e + + // 2^96 * 3 * G + + .quad 0xb4ce1fd4ddba919c + .quad 0xcf31db3ec74c8daa + .quad 0x2c63cc63ad86cc51 + .quad 0x43e2143fbc1dde07 + .quad 0xf4322d6648f940b9 + .quad 0x06952f0cbd2d0c39 + .quad 0x167697ada081f931 + .quad 0x6240aacebaf72a6c + .quad 0xf834749c5ba295a0 + .quad 0xd6947c5bca37d25a + .quad 0x66f13ba7e7c9316a + .quad 0x56bdaf238db40cac + + // 2^96 * 4 * G + + .quad 0x362ab9e3f53533eb + .quad 0x338568d56eb93d40 + .quad 0x9e0e14521d5a5572 + .quad 0x1d24a86d83741318 + .quad 0x1310d36cc19d3bb2 + .quad 0x062a6bb7622386b9 + .quad 0x7c9b8591d7a14f5c + .quad 0x03aa31507e1e5754 + .quad 0xf4ec7648ffd4ce1f + .quad 0xe045eaf054ac8c1c + .quad 0x88d225821d09357c + .quad 0x43b261dc9aeb4859 + + // 2^96 * 5 * G + + .quad 0xe55b1e1988bb79bb + .quad 0xa09ed07dc17a359d + .quad 0xb02c2ee2603dea33 + .quad 0x326055cf5b276bc2 + .quad 0x19513d8b6c951364 + .quad 0x94fe7126000bf47b + .quad 0x028d10ddd54f9567 + .quad 0x02b4d5e242940964 + .quad 0xb4a155cb28d18df2 + .quad 0xeacc4646186ce508 + .quad 0xc49cf4936c824389 + .quad 0x27a6c809ae5d3410 + + // 2^96 * 6 * G + + .quad 0x8ba6ebcd1f0db188 + .quad 0x37d3d73a675a5be8 + .quad 0xf22edfa315f5585a + .quad 0x2cb67174ff60a17e + .quad 0xcd2c270ac43d6954 + .quad 0xdd4a3e576a66cab2 + .quad 0x79fa592469d7036c + .quad 0x221503603d8c2599 + .quad 0x59eecdf9390be1d0 + .quad 0xa9422044728ce3f1 + .quad 0x82891c667a94f0f4 + .quad 0x7b1df4b73890f436 + + // 2^96 * 7 * G + + .quad 0xe492f2e0b3b2a224 + .quad 0x7c6c9e062b551160 + .quad 0x15eb8fe20d7f7b0e + .quad 0x61fcef2658fc5992 + .quad 0x5f2e221807f8f58c + .quad 0xe3555c9fd49409d4 + .quad 0xb2aaa88d1fb6a630 + .quad 0x68698245d352e03d + .quad 0xdbb15d852a18187a + .quad 0xf3e4aad386ddacd7 + .quad 0x44bae2810ff6c482 + .quad 0x46cf4c473daf01cf + + // 2^96 * 8 * G + + .quad 0x426525ed9ec4e5f9 + .quad 0x0e5eda0116903303 + .quad 0x72b1a7f2cbe5cadc + .quad 0x29387bcd14eb5f40 + .quad 0x213c6ea7f1498140 + .quad 0x7c1e7ef8392b4854 + .quad 0x2488c38c5629ceba + .quad 0x1065aae50d8cc5bb + .quad 0x1c2c4525df200d57 + .quad 0x5c3b2dd6bfca674a + .quad 0x0a07e7b1e1834030 + .quad 0x69a198e64f1ce716 + + // 2^100 * 1 * G + + .quad 0x7afcd613efa9d697 + .quad 0x0cc45aa41c067959 + .quad 0xa56fe104c1fada96 + .quad 0x3a73b70472e40365 + .quad 0x7b26e56b9e2d4734 + .quad 0xc4c7132b81c61675 + .quad 0xef5c9525ec9cde7f + .quad 0x39c80b16e71743ad + .quad 0x0f196e0d1b826c68 + .quad 0xf71ff0e24960e3db + .quad 0x6113167023b7436c + .quad 0x0cf0ea5877da7282 + + // 2^100 * 2 * G + + .quad 0x196c80a4ddd4ccbd + .quad 0x22e6f55d95f2dd9d + .quad 0xc75e33c740d6c71b + .quad 0x7bb51279cb3c042f + .quad 0xe332ced43ba6945a + .quad 0xde0b1361e881c05d + .quad 0x1ad40f095e67ed3b + .quad 0x5da8acdab8c63d5d + .quad 0xc4b6664a3a70159f + .quad 0x76194f0f0a904e14 + .quad 0xa5614c39a4096c13 + .quad 0x6cd0ff50979feced + + // 2^100 * 3 * G + + .quad 0xc0e067e78f4428ac + .quad 0x14835ab0a61135e3 + .quad 0xf21d14f338062935 + .quad 0x6390a4c8df04849c + .quad 0x7fecfabdb04ba18e + .quad 0xd0fc7bfc3bddbcf7 + .quad 0xa41d486e057a131c + .quad 0x641a4391f2223a61 + .quad 0xc5c6b95aa606a8db + .quad 0x914b7f9eb06825f1 + .quad 0x2a731f6b44fc9eff + .quad 0x30ddf38562705cfc + + // 2^100 * 4 * G + + .quad 0x4e3dcbdad1bff7f9 + .quad 0xc9118e8220645717 + .quad 0xbacccebc0f189d56 + .quad 0x1b4822e9d4467668 + .quad 0x33bef2bd68bcd52c + .quad 0xc649dbb069482ef2 + .quad 0xb5b6ee0c41cb1aee + .quad 0x5c294d270212a7e5 + .quad 0xab360a7f25563781 + .quad 0x2512228a480f7958 + .quad 0xc75d05276114b4e3 + .quad 0x222d9625d976fe2a + + // 2^100 * 5 * G + + .quad 0x1c717f85b372ace1 + .quad 0x81930e694638bf18 + .quad 0x239cad056bc08b58 + .quad 0x0b34271c87f8fff4 + .quad 0x0f94be7e0a344f85 + .quad 0xeb2faa8c87f22c38 + .quad 0x9ce1e75e4ee16f0f + .quad 0x43e64e5418a08dea + .quad 0x8155e2521a35ce63 + .quad 0xbe100d4df912028e + .quad 0xbff80bf8a57ddcec + .quad 0x57342dc96d6bc6e4 + + // 2^100 * 6 * G + + .quad 0xefeef065c8ce5998 + .quad 0xbf029510b5cbeaa2 + .quad 0x8c64a10620b7c458 + .quad 0x35134fb231c24855 + .quad 0xf3c3bcb71e707bf6 + .quad 0x351d9b8c7291a762 + .quad 0x00502e6edad69a33 + .quad 0x522f521f1ec8807f + .quad 0x272c1f46f9a3902b + .quad 0xc91ba3b799657bcc + .quad 0xae614b304f8a1c0e + .quad 0x7afcaad70b99017b + + // 2^100 * 7 * G + + .quad 0xc25ded54a4b8be41 + .quad 0x902d13e11bb0e2dd + .quad 0x41f43233cde82ab2 + .quad 0x1085faa5c3aae7cb + .quad 0xa88141ecef842b6b + .quad 0x55e7b14797abe6c5 + .quad 0x8c748f9703784ffe + .quad 0x5b50a1f7afcd00b7 + .quad 0x9b840f66f1361315 + .quad 0x18462242701003e9 + .quad 0x65ed45fae4a25080 + .quad 0x0a2862393fda7320 + + // 2^100 * 8 * G + + .quad 0x46ab13c8347cbc9d + .quad 0x3849e8d499c12383 + .quad 0x4cea314087d64ac9 + .quad 0x1f354134b1a29ee7 + .quad 0x960e737b6ecb9d17 + .quad 0xfaf24948d67ceae1 + .quad 0x37e7a9b4d55e1b89 + .quad 0x5cb7173cb46c59eb + .quad 0x4a89e68b82b7abf0 + .quad 0xf41cd9279ba6b7b9 + .quad 0x16e6c210e18d876f + .quad 0x7cacdb0f7f1b09c6 + + // 2^104 * 1 * G + + .quad 0x9062b2e0d91a78bc + .quad 0x47c9889cc8509667 + .quad 0x9df54a66405070b8 + .quad 0x7369e6a92493a1bf + .quad 0xe1014434dcc5caed + .quad 0x47ed5d963c84fb33 + .quad 0x70019576ed86a0e7 + .quad 0x25b2697bd267f9e4 + .quad 0x9d673ffb13986864 + .quad 0x3ca5fbd9415dc7b8 + .quad 0xe04ecc3bdf273b5e + .quad 0x1420683db54e4cd2 + + // 2^104 * 2 * G + + .quad 0xb478bd1e249dd197 + .quad 0x620c35005e58c102 + .quad 0xfb02d32fccbaac5c + .quad 0x60b63bebf508a72d + .quad 0x34eebb6fc1cc5ad0 + .quad 0x6a1b0ce99646ac8b + .quad 0xd3b0da49a66bde53 + .quad 0x31e83b4161d081c1 + .quad 0x97e8c7129e062b4f + .quad 0x49e48f4f29320ad8 + .quad 0x5bece14b6f18683f + .quad 0x55cf1eb62d550317 + + // 2^104 * 3 * G + + .quad 0x5879101065c23d58 + .quad 0x8b9d086d5094819c + .quad 0xe2402fa912c55fa7 + .quad 0x669a6564570891d4 + .quad 0x3076b5e37df58c52 + .quad 0xd73ab9dde799cc36 + .quad 0xbd831ce34913ee20 + .quad 0x1a56fbaa62ba0133 + .quad 0x943e6b505c9dc9ec + .quad 0x302557bba77c371a + .quad 0x9873ae5641347651 + .quad 0x13c4836799c58a5c + + // 2^104 * 4 * G + + .quad 0x423a5d465ab3e1b9 + .quad 0xfc13c187c7f13f61 + .quad 0x19f83664ecb5b9b6 + .quad 0x66f80c93a637b607 + .quad 0xc4dcfb6a5d8bd080 + .quad 0xdeebc4ec571a4842 + .quad 0xd4b2e883b8e55365 + .quad 0x50bdc87dc8e5b827 + .quad 0x606d37836edfe111 + .quad 0x32353e15f011abd9 + .quad 0x64b03ac325b73b96 + .quad 0x1dd56444725fd5ae + + // 2^104 * 5 * G + + .quad 0x8fa47ff83362127d + .quad 0xbc9f6ac471cd7c15 + .quad 0x6e71454349220c8b + .quad 0x0e645912219f732e + .quad 0xc297e60008bac89a + .quad 0x7d4cea11eae1c3e0 + .quad 0xf3e38be19fe7977c + .quad 0x3a3a450f63a305cd + .quad 0x078f2f31d8394627 + .quad 0x389d3183de94a510 + .quad 0xd1e36c6d17996f80 + .quad 0x318c8d9393a9a87b + + // 2^104 * 6 * G + + .quad 0xf2745d032afffe19 + .quad 0x0c9f3c497f24db66 + .quad 0xbc98d3e3ba8598ef + .quad 0x224c7c679a1d5314 + .quad 0x5d669e29ab1dd398 + .quad 0xfc921658342d9e3b + .quad 0x55851dfdf35973cd + .quad 0x509a41c325950af6 + .quad 0xbdc06edca6f925e9 + .quad 0x793ef3f4641b1f33 + .quad 0x82ec12809d833e89 + .quad 0x05bff02328a11389 + + // 2^104 * 7 * G + + .quad 0x3632137023cae00b + .quad 0x544acf0ad1accf59 + .quad 0x96741049d21a1c88 + .quad 0x780b8cc3fa2a44a7 + .quad 0x6881a0dd0dc512e4 + .quad 0x4fe70dc844a5fafe + .quad 0x1f748e6b8f4a5240 + .quad 0x576277cdee01a3ea + .quad 0x1ef38abc234f305f + .quad 0x9a577fbd1405de08 + .quad 0x5e82a51434e62a0d + .quad 0x5ff418726271b7a1 + + // 2^104 * 8 * G + + .quad 0x398e080c1789db9d + .quad 0xa7602025f3e778f5 + .quad 0xfa98894c06bd035d + .quad 0x106a03dc25a966be + .quad 0xe5db47e813b69540 + .quad 0xf35d2a3b432610e1 + .quad 0xac1f26e938781276 + .quad 0x29d4db8ca0a0cb69 + .quad 0xd9ad0aaf333353d0 + .quad 0x38669da5acd309e5 + .quad 0x3c57658ac888f7f0 + .quad 0x4ab38a51052cbefa + + // 2^108 * 1 * G + + .quad 0xdfdacbee4324c0e9 + .quad 0x054442883f955bb7 + .quad 0xdef7aaa8ea31609f + .quad 0x68aee70642287cff + .quad 0xf68fe2e8809de054 + .quad 0xe3bc096a9c82bad1 + .quad 0x076353d40aadbf45 + .quad 0x7b9b1fb5dea1959e + .quad 0xf01cc8f17471cc0c + .quad 0x95242e37579082bb + .quad 0x27776093d3e46b5f + .quad 0x2d13d55a28bd85fb + + // 2^108 * 2 * G + + .quad 0xfac5d2065b35b8da + .quad 0xa8da8a9a85624bb7 + .quad 0xccd2ca913d21cd0f + .quad 0x6b8341ee8bf90d58 + .quad 0xbf019cce7aee7a52 + .quad 0xa8ded2b6e454ead3 + .quad 0x3c619f0b87a8bb19 + .quad 0x3619b5d7560916d8 + .quad 0x3579f26b0282c4b2 + .quad 0x64d592f24fafefae + .quad 0xb7cded7b28c8c7c0 + .quad 0x6a927b6b7173a8d7 + + // 2^108 * 3 * G + + .quad 0x1f6db24f986e4656 + .quad 0x1021c02ed1e9105b + .quad 0xf8ff3fff2cc0a375 + .quad 0x1d2a6bf8c6c82592 + .quad 0x8d7040863ece88eb + .quad 0xf0e307a980eec08c + .quad 0xac2250610d788fda + .quad 0x056d92a43a0d478d + .quad 0x1b05a196fc3da5a1 + .quad 0x77d7a8c243b59ed0 + .quad 0x06da3d6297d17918 + .quad 0x66fbb494f12353f7 + + // 2^108 * 4 * G + + .quad 0x751a50b9d85c0fb8 + .quad 0xd1afdc258bcf097b + .quad 0x2f16a6a38309a969 + .quad 0x14ddff9ee5b00659 + .quad 0xd6d70996f12309d6 + .quad 0xdbfb2385e9c3d539 + .quad 0x46d602b0f7552411 + .quad 0x270a0b0557843e0c + .quad 0x61ff0640a7862bcc + .quad 0x81cac09a5f11abfe + .quad 0x9047830455d12abb + .quad 0x19a4bde1945ae873 + + // 2^108 * 5 * G + + .quad 0x9b9f26f520a6200a + .quad 0x64804443cf13eaf8 + .quad 0x8a63673f8631edd3 + .quad 0x72bbbce11ed39dc1 + .quad 0x40c709dec076c49f + .quad 0x657bfaf27f3e53f6 + .quad 0x40662331eca042c4 + .quad 0x14b375487eb4df04 + .quad 0xae853c94ab66dc47 + .quad 0xeb62343edf762d6e + .quad 0xf08e0e186fb2f7d1 + .quad 0x4f0b1c02700ab37a + + // 2^108 * 6 * G + + .quad 0xe1706787d81951fa + .quad 0xa10a2c8eb290c77b + .quad 0xe7382fa03ed66773 + .quad 0x0a4d84710bcc4b54 + .quad 0x79fd21ccc1b2e23f + .quad 0x4ae7c281453df52a + .quad 0xc8172ec9d151486b + .quad 0x68abe9443e0a7534 + .quad 0xda12c6c407831dcb + .quad 0x0da230d74d5c510d + .quad 0x4ab1531e6bd404e1 + .quad 0x4106b166bcf440ef + + // 2^108 * 7 * G + + .quad 0x02e57a421cd23668 + .quad 0x4ad9fb5d0eaef6fd + .quad 0x954e6727b1244480 + .quad 0x7f792f9d2699f331 + .quad 0xa485ccd539e4ecf2 + .quad 0x5aa3f3ad0555bab5 + .quad 0x145e3439937df82d + .quad 0x1238b51e1214283f + .quad 0x0b886b925fd4d924 + .quad 0x60906f7a3626a80d + .quad 0xecd367b4b98abd12 + .quad 0x2876beb1def344cf + + // 2^108 * 8 * G + + .quad 0xdc84e93563144691 + .quad 0x632fe8a0d61f23f4 + .quad 0x4caa800612a9a8d5 + .quad 0x48f9dbfa0e9918d3 + .quad 0xd594b3333a8a85f8 + .quad 0x4ea37689e78d7d58 + .quad 0x73bf9f455e8e351f + .quad 0x5507d7d2bc41ebb4 + .quad 0x1ceb2903299572fc + .quad 0x7c8ccaa29502d0ee + .quad 0x91bfa43411cce67b + .quad 0x5784481964a831e7 + + // 2^112 * 1 * G + + .quad 0xda7c2b256768d593 + .quad 0x98c1c0574422ca13 + .quad 0xf1a80bd5ca0ace1d + .quad 0x29cdd1adc088a690 + .quad 0xd6cfd1ef5fddc09c + .quad 0xe82b3efdf7575dce + .quad 0x25d56b5d201634c2 + .quad 0x3041c6bb04ed2b9b + .quad 0x0ff2f2f9d956e148 + .quad 0xade797759f356b2e + .quad 0x1a4698bb5f6c025c + .quad 0x104bbd6814049a7b + + // 2^112 * 2 * G + + .quad 0x51f0fd3168f1ed67 + .quad 0x2c811dcdd86f3bc2 + .quad 0x44dc5c4304d2f2de + .quad 0x5be8cc57092a7149 + .quad 0xa95d9a5fd67ff163 + .quad 0xe92be69d4cc75681 + .quad 0xb7f8024cde20f257 + .quad 0x204f2a20fb072df5 + .quad 0xc8143b3d30ebb079 + .quad 0x7589155abd652e30 + .quad 0x653c3c318f6d5c31 + .quad 0x2570fb17c279161f + + // 2^112 * 3 * G + + .quad 0x3efa367f2cb61575 + .quad 0xf5f96f761cd6026c + .quad 0xe8c7142a65b52562 + .quad 0x3dcb65ea53030acd + .quad 0x192ea9550bb8245a + .quad 0xc8e6fba88f9050d1 + .quad 0x7986ea2d88a4c935 + .quad 0x241c5f91de018668 + .quad 0x28d8172940de6caa + .quad 0x8fbf2cf022d9733a + .quad 0x16d7fcdd235b01d1 + .quad 0x08420edd5fcdf0e5 + + // 2^112 * 4 * G + + .quad 0xcdff20ab8362fa4a + .quad 0x57e118d4e21a3e6e + .quad 0xe3179617fc39e62b + .quad 0x0d9a53efbc1769fd + .quad 0x0358c34e04f410ce + .quad 0xb6135b5a276e0685 + .quad 0x5d9670c7ebb91521 + .quad 0x04d654f321db889c + .quad 0x5e7dc116ddbdb5d5 + .quad 0x2954deb68da5dd2d + .quad 0x1cb608173334a292 + .quad 0x4a7a4f2618991ad7 + + // 2^112 * 5 * G + + .quad 0xf4a718025fb15f95 + .quad 0x3df65f346b5c1b8f + .quad 0xcdfcf08500e01112 + .quad 0x11b50c4cddd31848 + .quad 0x24c3b291af372a4b + .quad 0x93da8270718147f2 + .quad 0xdd84856486899ef2 + .quad 0x4a96314223e0ee33 + .quad 0xa6e8274408a4ffd6 + .quad 0x738e177e9c1576d9 + .quad 0x773348b63d02b3f2 + .quad 0x4f4bce4dce6bcc51 + + // 2^112 * 6 * G + + .quad 0xa71fce5ae2242584 + .quad 0x26ea725692f58a9e + .quad 0xd21a09d71cea3cf4 + .quad 0x73fcdd14b71c01e6 + .quad 0x30e2616ec49d0b6f + .quad 0xe456718fcaec2317 + .quad 0x48eb409bf26b4fa6 + .quad 0x3042cee561595f37 + .quad 0x427e7079449bac41 + .quad 0x855ae36dbce2310a + .quad 0x4cae76215f841a7c + .quad 0x389e740c9a9ce1d6 + + // 2^112 * 7 * G + + .quad 0x64fcb3ae34dcb9ce + .quad 0x97500323e348d0ad + .quad 0x45b3f07d62c6381b + .quad 0x61545379465a6788 + .quad 0xc9bd78f6570eac28 + .quad 0xe55b0b3227919ce1 + .quad 0x65fc3eaba19b91ed + .quad 0x25c425e5d6263690 + .quad 0x3f3e06a6f1d7de6e + .quad 0x3ef976278e062308 + .quad 0x8c14f6264e8a6c77 + .quad 0x6539a08915484759 + + // 2^112 * 8 * G + + .quad 0xe9d21f74c3d2f773 + .quad 0xc150544125c46845 + .quad 0x624e5ce8f9b99e33 + .quad 0x11c5e4aac5cd186c + .quad 0xddc4dbd414bb4a19 + .quad 0x19b2bc3c98424f8e + .quad 0x48a89fd736ca7169 + .quad 0x0f65320ef019bd90 + .quad 0xd486d1b1cafde0c6 + .quad 0x4f3fe6e3163b5181 + .quad 0x59a8af0dfaf2939a + .quad 0x4cabc7bdec33072a + + // 2^116 * 1 * G + + .quad 0x16faa8fb532f7428 + .quad 0xdbd42ea046a4e272 + .quad 0x5337653b8b9ea480 + .quad 0x4065947223973f03 + .quad 0xf7c0a19c1a54a044 + .quad 0x4a1c5e2477bd9fbb + .quad 0xa6e3ca115af22972 + .quad 0x1819bb953f2e9e0d + .quad 0x498fbb795e042e84 + .quad 0x7d0dd89a7698b714 + .quad 0x8bfb0ba427fe6295 + .quad 0x36ba82e721200524 + + // 2^116 * 2 * G + + .quad 0xd60ecbb74245ec41 + .quad 0xfd9be89e34348716 + .quad 0xc9240afee42284de + .quad 0x4472f648d0531db4 + .quad 0xc8d69d0a57274ed5 + .quad 0x45ba803260804b17 + .quad 0xdf3cda102255dfac + .quad 0x77d221232709b339 + .quad 0x498a6d7064ad94d8 + .quad 0xa5b5c8fd9af62263 + .quad 0x8ca8ed0545c141f4 + .quad 0x2c63bec3662d358c + + // 2^116 * 3 * G + + .quad 0x7fe60d8bea787955 + .quad 0xb9dc117eb5f401b7 + .quad 0x91c7c09a19355cce + .quad 0x22692ef59442bedf + .quad 0x9a518b3a8586f8bf + .quad 0x9ee71af6cbb196f0 + .quad 0xaa0625e6a2385cf2 + .quad 0x1deb2176ddd7c8d1 + .quad 0x8563d19a2066cf6c + .quad 0x401bfd8c4dcc7cd7 + .quad 0xd976a6becd0d8f62 + .quad 0x67cfd773a278b05e + + // 2^116 * 4 * G + + .quad 0x8dec31faef3ee475 + .quad 0x99dbff8a9e22fd92 + .quad 0x512d11594e26cab1 + .quad 0x0cde561eec4310b9 + .quad 0x2d5fa9855a4e586a + .quad 0x65f8f7a449beab7e + .quad 0xaa074dddf21d33d3 + .quad 0x185cba721bcb9dee + .quad 0x93869da3f4e3cb41 + .quad 0xbf0392f540f7977e + .quad 0x026204fcd0463b83 + .quad 0x3ec91a769eec6eed + + // 2^116 * 5 * G + + .quad 0x1e9df75bf78166ad + .quad 0x4dfda838eb0cd7af + .quad 0xba002ed8c1eaf988 + .quad 0x13fedb3e11f33cfc + .quad 0x0fad2fb7b0a3402f + .quad 0x46615ecbfb69f4a8 + .quad 0xf745bcc8c5f8eaa6 + .quad 0x7a5fa8794a94e896 + .quad 0x52958faa13cd67a1 + .quad 0x965ee0818bdbb517 + .quad 0x16e58daa2e8845b3 + .quad 0x357d397d5499da8f + + // 2^116 * 6 * G + + .quad 0x1ebfa05fb0bace6c + .quad 0xc934620c1caf9a1e + .quad 0xcc771cc41d82b61a + .quad 0x2d94a16aa5f74fec + .quad 0x481dacb4194bfbf8 + .quad 0x4d77e3f1bae58299 + .quad 0x1ef4612e7d1372a0 + .quad 0x3a8d867e70ff69e1 + .quad 0x6f58cd5d55aff958 + .quad 0xba3eaa5c75567721 + .quad 0x75c123999165227d + .quad 0x69be1343c2f2b35e + + // 2^116 * 7 * G + + .quad 0x0e091d5ee197c92a + .quad 0x4f51019f2945119f + .quad 0x143679b9f034e99c + .quad 0x7d88112e4d24c696 + .quad 0x82bbbdac684b8de3 + .quad 0xa2f4c7d03fca0718 + .quad 0x337f92fbe096aaa8 + .quad 0x200d4d8c63587376 + .quad 0x208aed4b4893b32b + .quad 0x3efbf23ebe59b964 + .quad 0xd762deb0dba5e507 + .quad 0x69607bd681bd9d94 + + // 2^116 * 8 * G + + .quad 0xf6be021068de1ce1 + .quad 0xe8d518e70edcbc1f + .quad 0xe3effdd01b5505a5 + .quad 0x35f63353d3ec3fd0 + .quad 0x3b7f3bd49323a902 + .quad 0x7c21b5566b2c6e53 + .quad 0xe5ba8ff53a7852a7 + .quad 0x28bc77a5838ece00 + .quad 0x63ba78a8e25d8036 + .quad 0x63651e0094333490 + .quad 0x48d82f20288ce532 + .quad 0x3a31abfa36b57524 + + // 2^120 * 1 * G + + .quad 0x239e9624089c0a2e + .quad 0xc748c4c03afe4738 + .quad 0x17dbed2a764fa12a + .quad 0x639b93f0321c8582 + .quad 0xc08f788f3f78d289 + .quad 0xfe30a72ca1404d9f + .quad 0xf2778bfccf65cc9d + .quad 0x7ee498165acb2021 + .quad 0x7bd508e39111a1c3 + .quad 0x2b2b90d480907489 + .quad 0xe7d2aec2ae72fd19 + .quad 0x0edf493c85b602a6 + + // 2^120 * 2 * G + + .quad 0xaecc8158599b5a68 + .quad 0xea574f0febade20e + .quad 0x4fe41d7422b67f07 + .quad 0x403b92e3019d4fb4 + .quad 0x6767c4d284764113 + .quad 0xa090403ff7f5f835 + .quad 0x1c8fcffacae6bede + .quad 0x04c00c54d1dfa369 + .quad 0x4dc22f818b465cf8 + .quad 0x71a0f35a1480eff8 + .quad 0xaee8bfad04c7d657 + .quad 0x355bb12ab26176f4 + + // 2^120 * 3 * G + + .quad 0xa71e64cc7493bbf4 + .quad 0xe5bd84d9eca3b0c3 + .quad 0x0a6bc50cfa05e785 + .quad 0x0f9b8132182ec312 + .quad 0xa301dac75a8c7318 + .quad 0xed90039db3ceaa11 + .quad 0x6f077cbf3bae3f2d + .quad 0x7518eaf8e052ad8e + .quad 0xa48859c41b7f6c32 + .quad 0x0f2d60bcf4383298 + .quad 0x1815a929c9b1d1d9 + .quad 0x47c3871bbb1755c4 + + // 2^120 * 4 * G + + .quad 0x5144539771ec4f48 + .quad 0xf805b17dc98c5d6e + .quad 0xf762c11a47c3c66b + .quad 0x00b89b85764699dc + .quad 0xfbe65d50c85066b0 + .quad 0x62ecc4b0b3a299b0 + .quad 0xe53754ea441ae8e0 + .quad 0x08fea02ce8d48d5f + .quad 0x824ddd7668deead0 + .quad 0xc86445204b685d23 + .quad 0xb514cfcd5d89d665 + .quad 0x473829a74f75d537 + + // 2^120 * 5 * G + + .quad 0x82d2da754679c418 + .quad 0xe63bd7d8b2618df0 + .quad 0x355eef24ac47eb0a + .quad 0x2078684c4833c6b4 + .quad 0x23d9533aad3902c9 + .quad 0x64c2ddceef03588f + .quad 0x15257390cfe12fb4 + .quad 0x6c668b4d44e4d390 + .quad 0x3b48cf217a78820c + .quad 0xf76a0ab281273e97 + .quad 0xa96c65a78c8eed7b + .quad 0x7411a6054f8a433f + + // 2^120 * 6 * G + + .quad 0x4d659d32b99dc86d + .quad 0x044cdc75603af115 + .quad 0xb34c712cdcc2e488 + .quad 0x7c136574fb8134ff + .quad 0x579ae53d18b175b4 + .quad 0x68713159f392a102 + .quad 0x8455ecba1eef35f5 + .quad 0x1ec9a872458c398f + .quad 0xb8e6a4d400a2509b + .quad 0x9b81d7020bc882b4 + .quad 0x57e7cc9bf1957561 + .quad 0x3add88a5c7cd6460 + + // 2^120 * 7 * G + + .quad 0xab895770b635dcf2 + .quad 0x02dfef6cf66c1fbc + .quad 0x85530268beb6d187 + .quad 0x249929fccc879e74 + .quad 0x85c298d459393046 + .quad 0x8f7e35985ff659ec + .quad 0x1d2ca22af2f66e3a + .quad 0x61ba1131a406a720 + .quad 0xa3d0a0f116959029 + .quad 0x023b6b6cba7ebd89 + .quad 0x7bf15a3e26783307 + .quad 0x5620310cbbd8ece7 + + // 2^120 * 8 * G + + .quad 0x528993434934d643 + .quad 0xb9dbf806a51222f5 + .quad 0x8f6d878fc3f41c22 + .quad 0x37676a2a4d9d9730 + .quad 0x6646b5f477e285d6 + .quad 0x40e8ff676c8f6193 + .quad 0xa6ec7311abb594dd + .quad 0x7ec846f3658cec4d + .quad 0x9b5e8f3f1da22ec7 + .quad 0x130f1d776c01cd13 + .quad 0x214c8fcfa2989fb8 + .quad 0x6daaf723399b9dd5 + + // 2^124 * 1 * G + + .quad 0x591e4a5610628564 + .quad 0x2a4bb87ca8b4df34 + .quad 0xde2a2572e7a38e43 + .quad 0x3cbdabd9fee5046e + .quad 0x81aebbdd2cd13070 + .quad 0x962e4325f85a0e9e + .quad 0xde9391aacadffecb + .quad 0x53177fda52c230e6 + .quad 0xa7bc970650b9de79 + .quad 0x3d12a7fbc301b59b + .quad 0x02652e68d36ae38c + .quad 0x79d739835a6199dc + + // 2^124 * 2 * G + + .quad 0xd9354df64131c1bd + .quad 0x758094a186ec5822 + .quad 0x4464ee12e459f3c2 + .quad 0x6c11fce4cb133282 + .quad 0x21c9d9920d591737 + .quad 0x9bea41d2e9b46cd6 + .quad 0xe20e84200d89bfca + .quad 0x79d99f946eae5ff8 + .quad 0xf17b483568673205 + .quad 0x387deae83caad96c + .quad 0x61b471fd56ffe386 + .quad 0x31741195b745a599 + + // 2^124 * 3 * G + + .quad 0xe8d10190b77a360b + .quad 0x99b983209995e702 + .quad 0xbd4fdff8fa0247aa + .quad 0x2772e344e0d36a87 + .quad 0x17f8ba683b02a047 + .quad 0x50212096feefb6c8 + .quad 0x70139be21556cbe2 + .quad 0x203e44a11d98915b + .quad 0xd6863eba37b9e39f + .quad 0x105bc169723b5a23 + .quad 0x104f6459a65c0762 + .quad 0x567951295b4d38d4 + + // 2^124 * 4 * G + + .quad 0x535fd60613037524 + .quad 0xe210adf6b0fbc26a + .quad 0xac8d0a9b23e990ae + .quad 0x47204d08d72fdbf9 + .quad 0x07242eb30d4b497f + .quad 0x1ef96306b9bccc87 + .quad 0x37950934d8116f45 + .quad 0x05468d6201405b04 + .quad 0x00f565a9f93267de + .quad 0xcecfd78dc0d58e8a + .quad 0xa215e2dcf318e28e + .quad 0x4599ee919b633352 + + // 2^124 * 5 * G + + .quad 0xd3c220ca70e0e76b + .quad 0xb12bea58ea9f3094 + .quad 0x294ddec8c3271282 + .quad 0x0c3539e1a1d1d028 + .quad 0xac746d6b861ae579 + .quad 0x31ab0650f6aea9dc + .quad 0x241d661140256d4c + .quad 0x2f485e853d21a5de + .quad 0x329744839c0833f3 + .quad 0x6fe6257fd2abc484 + .quad 0x5327d1814b358817 + .quad 0x65712585893fe9bc + + // 2^124 * 6 * G + + .quad 0x9c102fb732a61161 + .quad 0xe48e10dd34d520a8 + .quad 0x365c63546f9a9176 + .quad 0x32f6fe4c046f6006 + .quad 0x81c29f1bd708ee3f + .quad 0xddcb5a05ae6407d0 + .quad 0x97aec1d7d2a3eba7 + .quad 0x1590521a91d50831 + .quad 0x40a3a11ec7910acc + .quad 0x9013dff8f16d27ae + .quad 0x1a9720d8abb195d4 + .quad 0x1bb9fe452ea98463 + + // 2^124 * 7 * G + + .quad 0xe9d1d950b3d54f9e + .quad 0x2d5f9cbee00d33c1 + .quad 0x51c2c656a04fc6ac + .quad 0x65c091ee3c1cbcc9 + .quad 0xcf5e6c95cc36747c + .quad 0x294201536b0bc30d + .quad 0x453ac67cee797af0 + .quad 0x5eae6ab32a8bb3c9 + .quad 0x7083661114f118ea + .quad 0x2b37b87b94349cad + .quad 0x7273f51cb4e99f40 + .quad 0x78a2a95823d75698 + + // 2^124 * 8 * G + + .quad 0xa2b072e95c8c2ace + .quad 0x69cffc96651e9c4b + .quad 0x44328ef842e7b42b + .quad 0x5dd996c122aadeb3 + .quad 0xb4f23c425ef83207 + .quad 0xabf894d3c9a934b5 + .quad 0xd0708c1339fd87f7 + .quad 0x1876789117166130 + .quad 0x925b5ef0670c507c + .quad 0x819bc842b93c33bf + .quad 0x10792e9a70dd003f + .quad 0x59ad4b7a6e28dc74 + + // 2^128 * 1 * G + + .quad 0x5f3a7562eb3dbe47 + .quad 0xf7ea38548ebda0b8 + .quad 0x00c3e53145747299 + .quad 0x1304e9e71627d551 + .quad 0x583b04bfacad8ea2 + .quad 0x29b743e8148be884 + .quad 0x2b1e583b0810c5db + .quad 0x2b5449e58eb3bbaa + .quad 0x789814d26adc9cfe + .quad 0x3c1bab3f8b48dd0b + .quad 0xda0fe1fff979c60a + .quad 0x4468de2d7c2dd693 + + // 2^128 * 2 * G + + .quad 0x51bb355e9419469e + .quad 0x33e6dc4c23ddc754 + .quad 0x93a5b6d6447f9962 + .quad 0x6cce7c6ffb44bd63 + .quad 0x4b9ad8c6f86307ce + .quad 0x21113531435d0c28 + .quad 0xd4a866c5657a772c + .quad 0x5da6427e63247352 + .quad 0x1a94c688deac22ca + .quad 0xb9066ef7bbae1ff8 + .quad 0x88ad8c388d59580f + .quad 0x58f29abfe79f2ca8 + + // 2^128 * 3 * G + + .quad 0xe90ecfab8de73e68 + .quad 0x54036f9f377e76a5 + .quad 0xf0495b0bbe015982 + .quad 0x577629c4a7f41e36 + .quad 0x4b5a64bf710ecdf6 + .quad 0xb14ce538462c293c + .quad 0x3643d056d50b3ab9 + .quad 0x6af93724185b4870 + .quad 0x3220024509c6a888 + .quad 0xd2e036134b558973 + .quad 0x83e236233c33289f + .quad 0x701f25bb0caec18f + + // 2^128 * 4 * G + + .quad 0xc3a8b0f8e4616ced + .quad 0xf700660e9e25a87d + .quad 0x61e3061ff4bca59c + .quad 0x2e0c92bfbdc40be9 + .quad 0x9d18f6d97cbec113 + .quad 0x844a06e674bfdbe4 + .quad 0x20f5b522ac4e60d6 + .quad 0x720a5bc050955e51 + .quad 0x0c3f09439b805a35 + .quad 0xe84e8b376242abfc + .quad 0x691417f35c229346 + .quad 0x0e9b9cbb144ef0ec + + // 2^128 * 5 * G + + .quad 0xfbbad48ffb5720ad + .quad 0xee81916bdbf90d0e + .quad 0xd4813152635543bf + .quad 0x221104eb3f337bd8 + .quad 0x8dee9bd55db1beee + .quad 0xc9c3ab370a723fb9 + .quad 0x44a8f1bf1c68d791 + .quad 0x366d44191cfd3cde + .quad 0x9e3c1743f2bc8c14 + .quad 0x2eda26fcb5856c3b + .quad 0xccb82f0e68a7fb97 + .quad 0x4167a4e6bc593244 + + // 2^128 * 6 * G + + .quad 0x643b9d2876f62700 + .quad 0x5d1d9d400e7668eb + .quad 0x1b4b430321fc0684 + .quad 0x7938bb7e2255246a + .quad 0xc2be2665f8ce8fee + .quad 0xe967ff14e880d62c + .quad 0xf12e6e7e2f364eee + .quad 0x34b33370cb7ed2f6 + .quad 0xcdc591ee8681d6cc + .quad 0xce02109ced85a753 + .quad 0xed7485c158808883 + .quad 0x1176fc6e2dfe65e4 + + // 2^128 * 7 * G + + .quad 0xb4af6cd05b9c619b + .quad 0x2ddfc9f4b2a58480 + .quad 0x3d4fa502ebe94dc4 + .quad 0x08fc3a4c677d5f34 + .quad 0xdb90e28949770eb8 + .quad 0x98fbcc2aacf440a3 + .quad 0x21354ffeded7879b + .quad 0x1f6a3e54f26906b6 + .quad 0x60a4c199d30734ea + .quad 0x40c085b631165cd6 + .quad 0xe2333e23f7598295 + .quad 0x4f2fad0116b900d1 + + // 2^128 * 8 * G + + .quad 0x44beb24194ae4e54 + .quad 0x5f541c511857ef6c + .quad 0xa61e6b2d368d0498 + .quad 0x445484a4972ef7ab + .quad 0x962cd91db73bb638 + .quad 0xe60577aafc129c08 + .quad 0x6f619b39f3b61689 + .quad 0x3451995f2944ee81 + .quad 0x9152fcd09fea7d7c + .quad 0x4a816c94b0935cf6 + .quad 0x258e9aaa47285c40 + .quad 0x10b89ca6042893b7 + + // 2^132 * 1 * G + + .quad 0x9b2a426e3b646025 + .quad 0x32127190385ce4cf + .quad 0xa25cffc2dd6dea45 + .quad 0x06409010bea8de75 + .quad 0xd67cded679d34aa0 + .quad 0xcc0b9ec0cc4db39f + .quad 0xa535a456e35d190f + .quad 0x2e05d9eaf61f6fef + .quad 0xc447901ad61beb59 + .quad 0x661f19bce5dc880a + .quad 0x24685482b7ca6827 + .quad 0x293c778cefe07f26 + + // 2^132 * 2 * G + + .quad 0x86809e7007069096 + .quad 0xaad75b15e4e50189 + .quad 0x07f35715a21a0147 + .quad 0x0487f3f112815d5e + .quad 0x16c795d6a11ff200 + .quad 0xcb70d0e2b15815c9 + .quad 0x89f293209b5395b5 + .quad 0x50b8c2d031e47b4f + .quad 0x48350c08068a4962 + .quad 0x6ffdd05351092c9a + .quad 0x17af4f4aaf6fc8dd + .quad 0x4b0553b53cdba58b + + // 2^132 * 3 * G + + .quad 0x9c65fcbe1b32ff79 + .quad 0xeb75ea9f03b50f9b + .quad 0xfced2a6c6c07e606 + .quad 0x35106cd551717908 + .quad 0xbf05211b27c152d4 + .quad 0x5ec26849bd1af639 + .quad 0x5e0b2caa8e6fab98 + .quad 0x054c8bdd50bd0840 + .quad 0x38a0b12f1dcf073d + .quad 0x4b60a8a3b7f6a276 + .quad 0xfed5ac25d3404f9a + .quad 0x72e82d5e5505c229 + + // 2^132 * 4 * G + + .quad 0x6b0b697ff0d844c8 + .quad 0xbb12f85cd979cb49 + .quad 0xd2a541c6c1da0f1f + .quad 0x7b7c242958ce7211 + .quad 0x00d9cdfd69771d02 + .quad 0x410276cd6cfbf17e + .quad 0x4c45306c1cb12ec7 + .quad 0x2857bf1627500861 + .quad 0x9f21903f0101689e + .quad 0xd779dfd3bf861005 + .quad 0xa122ee5f3deb0f1b + .quad 0x510df84b485a00d4 + + // 2^132 * 5 * G + + .quad 0xa54133bb9277a1fa + .quad 0x74ec3b6263991237 + .quad 0x1a3c54dc35d2f15a + .quad 0x2d347144e482ba3a + .quad 0x24b3c887c70ac15e + .quad 0xb0f3a557fb81b732 + .quad 0x9b2cde2fe578cc1b + .quad 0x4cf7ed0703b54f8e + .quad 0x6bd47c6598fbee0f + .quad 0x9e4733e2ab55be2d + .quad 0x1093f624127610c5 + .quad 0x4e05e26ad0a1eaa4 + + // 2^132 * 6 * G + + .quad 0xda9b6b624b531f20 + .quad 0x429a760e77509abb + .quad 0xdbe9f522e823cb80 + .quad 0x618f1856880c8f82 + .quad 0x1833c773e18fe6c0 + .quad 0xe3c4711ad3c87265 + .quad 0x3bfd3c4f0116b283 + .quad 0x1955875eb4cd4db8 + .quad 0x6da6de8f0e399799 + .quad 0x7ad61aa440fda178 + .quad 0xb32cd8105e3563dd + .quad 0x15f6beae2ae340ae + + // 2^132 * 7 * G + + .quad 0x862bcb0c31ec3a62 + .quad 0x810e2b451138f3c2 + .quad 0x788ec4b839dac2a4 + .quad 0x28f76867ae2a9281 + .quad 0xba9a0f7b9245e215 + .quad 0xf368612dd98c0dbb + .quad 0x2e84e4cbf220b020 + .quad 0x6ba92fe962d90eda + .quad 0x3e4df9655884e2aa + .quad 0xbd62fbdbdbd465a5 + .quad 0xd7596caa0de9e524 + .quad 0x6e8042ccb2b1b3d7 + + // 2^132 * 8 * G + + .quad 0xf10d3c29ce28ca6e + .quad 0xbad34540fcb6093d + .quad 0xe7426ed7a2ea2d3f + .quad 0x08af9d4e4ff298b9 + .quad 0x1530653616521f7e + .quad 0x660d06b896203dba + .quad 0x2d3989bc545f0879 + .quad 0x4b5303af78ebd7b0 + .quad 0x72f8a6c3bebcbde8 + .quad 0x4f0fca4adc3a8e89 + .quad 0x6fa9d4e8c7bfdf7a + .quad 0x0dcf2d679b624eb7 + + // 2^136 * 1 * G + + .quad 0x3d5947499718289c + .quad 0x12ebf8c524533f26 + .quad 0x0262bfcb14c3ef15 + .quad 0x20b878d577b7518e + .quad 0x753941be5a45f06e + .quad 0xd07caeed6d9c5f65 + .quad 0x11776b9c72ff51b6 + .quad 0x17d2d1d9ef0d4da9 + .quad 0x27f2af18073f3e6a + .quad 0xfd3fe519d7521069 + .quad 0x22e3b72c3ca60022 + .quad 0x72214f63cc65c6a7 + + // 2^136 * 2 * G + + .quad 0xb4e37f405307a693 + .quad 0xaba714d72f336795 + .quad 0xd6fbd0a773761099 + .quad 0x5fdf48c58171cbc9 + .quad 0x1d9db7b9f43b29c9 + .quad 0xd605824a4f518f75 + .quad 0xf2c072bd312f9dc4 + .quad 0x1f24ac855a1545b0 + .quad 0x24d608328e9505aa + .quad 0x4748c1d10c1420ee + .quad 0xc7ffe45c06fb25a2 + .quad 0x00ba739e2ae395e6 + + // 2^136 * 3 * G + + .quad 0x592e98de5c8790d6 + .quad 0xe5bfb7d345c2a2df + .quad 0x115a3b60f9b49922 + .quad 0x03283a3e67ad78f3 + .quad 0xae4426f5ea88bb26 + .quad 0x360679d984973bfb + .quad 0x5c9f030c26694e50 + .quad 0x72297de7d518d226 + .quad 0x48241dc7be0cb939 + .quad 0x32f19b4d8b633080 + .quad 0xd3dfc90d02289308 + .quad 0x05e1296846271945 + + // 2^136 * 4 * G + + .quad 0xba82eeb32d9c495a + .quad 0xceefc8fcf12bb97c + .quad 0xb02dabae93b5d1e0 + .quad 0x39c00c9c13698d9b + .quad 0xadbfbbc8242c4550 + .quad 0xbcc80cecd03081d9 + .quad 0x843566a6f5c8df92 + .quad 0x78cf25d38258ce4c + .quad 0x15ae6b8e31489d68 + .quad 0xaa851cab9c2bf087 + .quad 0xc9a75a97f04efa05 + .quad 0x006b52076b3ff832 + + // 2^136 * 5 * G + + .quad 0x29e0cfe19d95781c + .quad 0xb681df18966310e2 + .quad 0x57df39d370516b39 + .quad 0x4d57e3443bc76122 + .quad 0xf5cb7e16b9ce082d + .quad 0x3407f14c417abc29 + .quad 0xd4b36bce2bf4a7ab + .quad 0x7de2e9561a9f75ce + .quad 0xde70d4f4b6a55ecb + .quad 0x4801527f5d85db99 + .quad 0xdbc9c440d3ee9a81 + .quad 0x6b2a90af1a6029ed + + // 2^136 * 6 * G + + .quad 0x6923f4fc9ae61e97 + .quad 0x5735281de03f5fd1 + .quad 0xa764ae43e6edd12d + .quad 0x5fd8f4e9d12d3e4a + .quad 0x77ebf3245bb2d80a + .quad 0xd8301b472fb9079b + .quad 0xc647e6f24cee7333 + .quad 0x465812c8276c2109 + .quad 0x4d43beb22a1062d9 + .quad 0x7065fb753831dc16 + .quad 0x180d4a7bde2968d7 + .quad 0x05b32c2b1cb16790 + + // 2^136 * 7 * G + + .quad 0xc8c05eccd24da8fd + .quad 0xa1cf1aac05dfef83 + .quad 0xdbbeeff27df9cd61 + .quad 0x3b5556a37b471e99 + .quad 0xf7fca42c7ad58195 + .quad 0x3214286e4333f3cc + .quad 0xb6c29d0d340b979d + .quad 0x31771a48567307e1 + .quad 0x32b0c524e14dd482 + .quad 0xedb351541a2ba4b6 + .quad 0xa3d16048282b5af3 + .quad 0x4fc079d27a7336eb + + // 2^136 * 8 * G + + .quad 0x51c938b089bf2f7f + .quad 0x2497bd6502dfe9a7 + .quad 0xffffc09c7880e453 + .quad 0x124567cecaf98e92 + .quad 0xdc348b440c86c50d + .quad 0x1337cbc9cc94e651 + .quad 0x6422f74d643e3cb9 + .quad 0x241170c2bae3cd08 + .quad 0x3ff9ab860ac473b4 + .quad 0xf0911dee0113e435 + .quad 0x4ae75060ebc6c4af + .quad 0x3f8612966c87000d + + // 2^140 * 1 * G + + .quad 0x0c9c5303f7957be4 + .quad 0xa3c31a20e085c145 + .quad 0xb0721d71d0850050 + .quad 0x0aba390eab0bf2da + .quad 0x529fdffe638c7bf3 + .quad 0xdf2b9e60388b4995 + .quad 0xe027b34f1bad0249 + .quad 0x7bc92fc9b9fa74ed + .quad 0x9f97ef2e801ad9f9 + .quad 0x83697d5479afda3a + .quad 0xe906b3ffbd596b50 + .quad 0x02672b37dd3fb8e0 + + // 2^140 * 2 * G + + .quad 0x48b2ca8b260885e4 + .quad 0xa4286bec82b34c1c + .quad 0x937e1a2617f58f74 + .quad 0x741d1fcbab2ca2a5 + .quad 0xee9ba729398ca7f5 + .quad 0xeb9ca6257a4849db + .quad 0x29eb29ce7ec544e1 + .quad 0x232ca21ef736e2c8 + .quad 0xbf61423d253fcb17 + .quad 0x08803ceafa39eb14 + .quad 0xf18602df9851c7af + .quad 0x0400f3a049e3414b + + // 2^140 * 3 * G + + .quad 0xabce0476ba61c55b + .quad 0x36a3d6d7c4d39716 + .quad 0x6eb259d5e8d82d09 + .quad 0x0c9176e984d756fb + .quad 0x2efba412a06e7b06 + .quad 0x146785452c8d2560 + .quad 0xdf9713ebd67a91c7 + .quad 0x32830ac7157eadf3 + .quad 0x0e782a7ab73769e8 + .quad 0x04a05d7875b18e2c + .quad 0x29525226ebcceae1 + .quad 0x0d794f8383eba820 + + // 2^140 * 4 * G + + .quad 0xff35f5cb9e1516f4 + .quad 0xee805bcf648aae45 + .quad 0xf0d73c2bb93a9ef3 + .quad 0x097b0bf22092a6c2 + .quad 0x7be44ce7a7a2e1ac + .quad 0x411fd93efad1b8b7 + .quad 0x1734a1d70d5f7c9b + .quad 0x0d6592233127db16 + .quad 0xc48bab1521a9d733 + .quad 0xa6c2eaead61abb25 + .quad 0x625c6c1cc6cb4305 + .quad 0x7fc90fea93eb3a67 + + // 2^140 * 5 * G + + .quad 0x0408f1fe1f5c5926 + .quad 0x1a8f2f5e3b258bf4 + .quad 0x40a951a2fdc71669 + .quad 0x6598ee93c98b577e + .quad 0xc527deb59c7cb23d + .quad 0x955391695328404e + .quad 0xd64392817ccf2c7a + .quad 0x6ce97dabf7d8fa11 + .quad 0x25b5a8e50ef7c48f + .quad 0xeb6034116f2ce532 + .quad 0xc5e75173e53de537 + .quad 0x73119fa08c12bb03 + + // 2^140 * 6 * G + + .quad 0xed30129453f1a4cb + .quad 0xbce621c9c8f53787 + .quad 0xfacb2b1338bee7b9 + .quad 0x3025798a9ea8428c + .quad 0x7845b94d21f4774d + .quad 0xbf62f16c7897b727 + .quad 0x671857c03c56522b + .quad 0x3cd6a85295621212 + .quad 0x3fecde923aeca999 + .quad 0xbdaa5b0062e8c12f + .quad 0x67b99dfc96988ade + .quad 0x3f52c02852661036 + + // 2^140 * 7 * G + + .quad 0xffeaa48e2a1351c6 + .quad 0x28624754fa7f53d7 + .quad 0x0b5ba9e57582ddf1 + .quad 0x60c0104ba696ac59 + .quad 0x9258bf99eec416c6 + .quad 0xac8a5017a9d2f671 + .quad 0x629549ab16dea4ab + .quad 0x05d0e85c99091569 + .quad 0x051de020de9cbe97 + .quad 0xfa07fc56b50bcf74 + .quad 0x378cec9f0f11df65 + .quad 0x36853c69ab96de4d + + // 2^140 * 8 * G + + .quad 0x36d9b8de78f39b2d + .quad 0x7f42ed71a847b9ec + .quad 0x241cd1d679bd3fde + .quad 0x6a704fec92fbce6b + .quad 0x4433c0b0fac5e7be + .quad 0x724bae854c08dcbe + .quad 0xf1f24cc446978f9b + .quad 0x4a0aff6d62825fc8 + .quad 0xe917fb9e61095301 + .quad 0xc102df9402a092f8 + .quad 0xbf09e2f5fa66190b + .quad 0x681109bee0dcfe37 + + // 2^144 * 1 * G + + .quad 0x559a0cc9782a0dde + .quad 0x551dcdb2ea718385 + .quad 0x7f62865b31ef238c + .quad 0x504aa7767973613d + .quad 0x9c18fcfa36048d13 + .quad 0x29159db373899ddd + .quad 0xdc9f350b9f92d0aa + .quad 0x26f57eee878a19d4 + .quad 0x0cab2cd55687efb1 + .quad 0x5180d162247af17b + .quad 0x85c15a344f5a2467 + .quad 0x4041943d9dba3069 + + // 2^144 * 2 * G + + .quad 0xc3c0eeba43ebcc96 + .quad 0x8d749c9c26ea9caf + .quad 0xd9fa95ee1c77ccc6 + .quad 0x1420a1d97684340f + .quad 0x4b217743a26caadd + .quad 0x47a6b424648ab7ce + .quad 0xcb1d4f7a03fbc9e3 + .quad 0x12d931429800d019 + .quad 0x00c67799d337594f + .quad 0x5e3c5140b23aa47b + .quad 0x44182854e35ff395 + .quad 0x1b4f92314359a012 + + // 2^144 * 3 * G + + .quad 0x3e5c109d89150951 + .quad 0x39cefa912de9696a + .quad 0x20eae43f975f3020 + .quad 0x239b572a7f132dae + .quad 0x33cf3030a49866b1 + .quad 0x251f73d2215f4859 + .quad 0xab82aa4051def4f6 + .quad 0x5ff191d56f9a23f6 + .quad 0x819ed433ac2d9068 + .quad 0x2883ab795fc98523 + .quad 0xef4572805593eb3d + .quad 0x020c526a758f36cb + + // 2^144 * 4 * G + + .quad 0x779834f89ed8dbbc + .quad 0xc8f2aaf9dc7ca46c + .quad 0xa9524cdca3e1b074 + .quad 0x02aacc4615313877 + .quad 0xe931ef59f042cc89 + .quad 0x2c589c9d8e124bb6 + .quad 0xadc8e18aaec75997 + .quad 0x452cfe0a5602c50c + .quad 0x86a0f7a0647877df + .quad 0xbbc464270e607c9f + .quad 0xab17ea25f1fb11c9 + .quad 0x4cfb7d7b304b877b + + // 2^144 * 5 * G + + .quad 0x72b43d6cb89b75fe + .quad 0x54c694d99c6adc80 + .quad 0xb8c3aa373ee34c9f + .quad 0x14b4622b39075364 + .quad 0xe28699c29789ef12 + .quad 0x2b6ecd71df57190d + .quad 0xc343c857ecc970d0 + .quad 0x5b1d4cbc434d3ac5 + .quad 0xb6fb2615cc0a9f26 + .quad 0x3a4f0e2bb88dcce5 + .quad 0x1301498b3369a705 + .quad 0x2f98f71258592dd1 + + // 2^144 * 6 * G + + .quad 0x0c94a74cb50f9e56 + .quad 0x5b1ff4a98e8e1320 + .quad 0x9a2acc2182300f67 + .quad 0x3a6ae249d806aaf9 + .quad 0x2e12ae444f54a701 + .quad 0xfcfe3ef0a9cbd7de + .quad 0xcebf890d75835de0 + .quad 0x1d8062e9e7614554 + .quad 0x657ada85a9907c5a + .quad 0x1a0ea8b591b90f62 + .quad 0x8d0e1dfbdf34b4e9 + .quad 0x298b8ce8aef25ff3 + + // 2^144 * 7 * G + + .quad 0x2a927953eff70cb2 + .quad 0x4b89c92a79157076 + .quad 0x9418457a30a7cf6a + .quad 0x34b8a8404d5ce485 + .quad 0x837a72ea0a2165de + .quad 0x3fab07b40bcf79f6 + .quad 0x521636c77738ae70 + .quad 0x6ba6271803a7d7dc + .quad 0xc26eecb583693335 + .quad 0xd5a813df63b5fefd + .quad 0xa293aa9aa4b22573 + .quad 0x71d62bdd465e1c6a + + // 2^144 * 8 * G + + .quad 0x6533cc28d378df80 + .quad 0xf6db43790a0fa4b4 + .quad 0xe3645ff9f701da5a + .quad 0x74d5f317f3172ba4 + .quad 0xcd2db5dab1f75ef5 + .quad 0xd77f95cf16b065f5 + .quad 0x14571fea3f49f085 + .quad 0x1c333621262b2b3d + .quad 0xa86fe55467d9ca81 + .quad 0x398b7c752b298c37 + .quad 0xda6d0892e3ac623b + .quad 0x4aebcc4547e9d98c + + // 2^148 * 1 * G + + .quad 0x53175a7205d21a77 + .quad 0xb0c04422d3b934d4 + .quad 0xadd9f24bdd5deadc + .quad 0x074f46e69f10ff8c + .quad 0x0de9b204a059a445 + .quad 0xe15cb4aa4b17ad0f + .quad 0xe1bbec521f79c557 + .quad 0x2633f1b9d071081b + .quad 0xc1fb4177018b9910 + .quad 0xa6ea20dc6c0fe140 + .quad 0xd661f3e74354c6ff + .quad 0x5ecb72e6f1a3407a + + // 2^148 * 2 * G + + .quad 0xa515a31b2259fb4e + .quad 0x0960f3972bcac52f + .quad 0xedb52fec8d3454cb + .quad 0x382e2720c476c019 + .quad 0xfeeae106e8e86997 + .quad 0x9863337f98d09383 + .quad 0x9470480eaa06ebef + .quad 0x038b6898d4c5c2d0 + .quad 0xf391c51d8ace50a6 + .quad 0x3142d0b9ae2d2948 + .quad 0xdb4d5a1a7f24ca80 + .quad 0x21aeba8b59250ea8 + + // 2^148 * 3 * G + + .quad 0x24f13b34cf405530 + .quad 0x3c44ea4a43088af7 + .quad 0x5dd5c5170006a482 + .quad 0x118eb8f8890b086d + .quad 0x53853600f0087f23 + .quad 0x4c461879da7d5784 + .quad 0x6af303deb41f6860 + .quad 0x0a3c16c5c27c18ed + .quad 0x17e49c17cc947f3d + .quad 0xccc6eda6aac1d27b + .quad 0xdf6092ceb0f08e56 + .quad 0x4909b3e22c67c36b + + // 2^148 * 4 * G + + .quad 0x9c9c85ea63fe2e89 + .quad 0xbe1baf910e9412ec + .quad 0x8f7baa8a86fbfe7b + .quad 0x0fb17f9fef968b6c + .quad 0x59a16676706ff64e + .quad 0x10b953dd0d86a53d + .quad 0x5848e1e6ce5c0b96 + .quad 0x2d8b78e712780c68 + .quad 0x79d5c62eafc3902b + .quad 0x773a215289e80728 + .quad 0xc38ae640e10120b9 + .quad 0x09ae23717b2b1a6d + + // 2^148 * 5 * G + + .quad 0xbb6a192a4e4d083c + .quad 0x34ace0630029e192 + .quad 0x98245a59aafabaeb + .quad 0x6d9c8a9ada97faac + .quad 0x10ab8fa1ad32b1d0 + .quad 0xe9aced1be2778b24 + .quad 0xa8856bc0373de90f + .quad 0x66f35ddddda53996 + .quad 0xd27d9afb24997323 + .quad 0x1bb7e07ef6f01d2e + .quad 0x2ba7472df52ecc7f + .quad 0x03019b4f646f9dc8 + + // 2^148 * 6 * G + + .quad 0x04a186b5565345cd + .quad 0xeee76610bcc4116a + .quad 0x689c73b478fb2a45 + .quad 0x387dcbff65697512 + .quad 0xaf09b214e6b3dc6b + .quad 0x3f7573b5ad7d2f65 + .quad 0xd019d988100a23b0 + .quad 0x392b63a58b5c35f7 + .quad 0x4093addc9c07c205 + .quad 0xc565be15f532c37e + .quad 0x63dbecfd1583402a + .quad 0x61722b4aef2e032e + + // 2^148 * 7 * G + + .quad 0x0012aafeecbd47af + .quad 0x55a266fb1cd46309 + .quad 0xf203eb680967c72c + .quad 0x39633944ca3c1429 + .quad 0xd6b07a5581cb0e3c + .quad 0x290ff006d9444969 + .quad 0x08680b6a16dcda1f + .quad 0x5568d2b75a06de59 + .quad 0x8d0cb88c1b37cfe1 + .quad 0x05b6a5a3053818f3 + .quad 0xf2e9bc04b787d959 + .quad 0x6beba1249add7f64 + + // 2^148 * 8 * G + + .quad 0x1d06005ca5b1b143 + .quad 0x6d4c6bb87fd1cda2 + .quad 0x6ef5967653fcffe7 + .quad 0x097c29e8c1ce1ea5 + .quad 0x5c3cecb943f5a53b + .quad 0x9cc9a61d06c08df2 + .quad 0xcfba639a85895447 + .quad 0x5a845ae80df09fd5 + .quad 0x4ce97dbe5deb94ca + .quad 0x38d0a4388c709c48 + .quad 0xc43eced4a169d097 + .quad 0x0a1249fff7e587c3 + + // 2^152 * 1 * G + + .quad 0x12f0071b276d01c9 + .quad 0xe7b8bac586c48c70 + .quad 0x5308129b71d6fba9 + .quad 0x5d88fbf95a3db792 + .quad 0x0b408d9e7354b610 + .quad 0x806b32535ba85b6e + .quad 0xdbe63a034a58a207 + .quad 0x173bd9ddc9a1df2c + .quad 0x2b500f1efe5872df + .quad 0x58d6582ed43918c1 + .quad 0xe6ed278ec9673ae0 + .quad 0x06e1cd13b19ea319 + + // 2^152 * 2 * G + + .quad 0x40d0ad516f166f23 + .quad 0x118e32931fab6abe + .quad 0x3fe35e14a04d088e + .quad 0x3080603526e16266 + .quad 0x472baf629e5b0353 + .quad 0x3baa0b90278d0447 + .quad 0x0c785f469643bf27 + .quad 0x7f3a6a1a8d837b13 + .quad 0xf7e644395d3d800b + .quad 0x95a8d555c901edf6 + .quad 0x68cd7830592c6339 + .quad 0x30d0fded2e51307e + + // 2^152 * 3 * G + + .quad 0xe0594d1af21233b3 + .quad 0x1bdbe78ef0cc4d9c + .quad 0x6965187f8f499a77 + .quad 0x0a9214202c099868 + .quad 0x9cb4971e68b84750 + .quad 0xa09572296664bbcf + .quad 0x5c8de72672fa412b + .quad 0x4615084351c589d9 + .quad 0xbc9019c0aeb9a02e + .quad 0x55c7110d16034cae + .quad 0x0e6df501659932ec + .quad 0x3bca0d2895ca5dfe + + // 2^152 * 4 * G + + .quad 0x40f031bc3c5d62a4 + .quad 0x19fc8b3ecff07a60 + .quad 0x98183da2130fb545 + .quad 0x5631deddae8f13cd + .quad 0x9c688eb69ecc01bf + .quad 0xf0bc83ada644896f + .quad 0xca2d955f5f7a9fe2 + .quad 0x4ea8b4038df28241 + .quad 0x2aed460af1cad202 + .quad 0x46305305a48cee83 + .quad 0x9121774549f11a5f + .quad 0x24ce0930542ca463 + + // 2^152 * 5 * G + + .quad 0x1fe890f5fd06c106 + .quad 0xb5c468355d8810f2 + .quad 0x827808fe6e8caf3e + .quad 0x41d4e3c28a06d74b + .quad 0x3fcfa155fdf30b85 + .quad 0xd2f7168e36372ea4 + .quad 0xb2e064de6492f844 + .quad 0x549928a7324f4280 + .quad 0xf26e32a763ee1a2e + .quad 0xae91e4b7d25ffdea + .quad 0xbc3bd33bd17f4d69 + .quad 0x491b66dec0dcff6a + + // 2^152 * 6 * G + + .quad 0x98f5b13dc7ea32a7 + .quad 0xe3d5f8cc7e16db98 + .quad 0xac0abf52cbf8d947 + .quad 0x08f338d0c85ee4ac + .quad 0x75f04a8ed0da64a1 + .quad 0xed222caf67e2284b + .quad 0x8234a3791f7b7ba4 + .quad 0x4cf6b8b0b7018b67 + .quad 0xc383a821991a73bd + .quad 0xab27bc01df320c7a + .quad 0xc13d331b84777063 + .quad 0x530d4a82eb078a99 + + // 2^152 * 7 * G + + .quad 0x004c3630e1f94825 + .quad 0x7e2d78268cab535a + .quad 0xc7482323cc84ff8b + .quad 0x65ea753f101770b9 + .quad 0x6d6973456c9abf9e + .quad 0x257fb2fc4900a880 + .quad 0x2bacf412c8cfb850 + .quad 0x0db3e7e00cbfbd5b + .quad 0x3d66fc3ee2096363 + .quad 0x81d62c7f61b5cb6b + .quad 0x0fbe044213443b1a + .quad 0x02a4ec1921e1a1db + + // 2^152 * 8 * G + + .quad 0x5ce6259a3b24b8a2 + .quad 0xb8577acc45afa0b8 + .quad 0xcccbe6e88ba07037 + .quad 0x3d143c51127809bf + .quad 0xf5c86162f1cf795f + .quad 0x118c861926ee57f2 + .quad 0x172124851c063578 + .quad 0x36d12b5dec067fcf + .quad 0x126d279179154557 + .quad 0xd5e48f5cfc783a0a + .quad 0x36bdb6e8df179bac + .quad 0x2ef517885ba82859 + + // 2^156 * 1 * G + + .quad 0x88bd438cd11e0d4a + .quad 0x30cb610d43ccf308 + .quad 0xe09a0e3791937bcc + .quad 0x4559135b25b1720c + .quad 0x1ea436837c6da1e9 + .quad 0xf9c189af1fb9bdbe + .quad 0x303001fcce5dd155 + .quad 0x28a7c99ebc57be52 + .quad 0xb8fd9399e8d19e9d + .quad 0x908191cb962423ff + .quad 0xb2b948d747c742a3 + .quad 0x37f33226d7fb44c4 + + // 2^156 * 2 * G + + .quad 0x0dae8767b55f6e08 + .quad 0x4a43b3b35b203a02 + .quad 0xe3725a6e80af8c79 + .quad 0x0f7a7fd1705fa7a3 + .quad 0x33912553c821b11d + .quad 0x66ed42c241e301df + .quad 0x066fcc11104222fd + .quad 0x307a3b41c192168f + .quad 0x8eeb5d076eb55ce0 + .quad 0x2fc536bfaa0d925a + .quad 0xbe81830fdcb6c6e8 + .quad 0x556c7045827baf52 + + // 2^156 * 3 * G + + .quad 0x8e2b517302e9d8b7 + .quad 0xe3e52269248714e8 + .quad 0xbd4fbd774ca960b5 + .quad 0x6f4b4199c5ecada9 + .quad 0xb94b90022bf44406 + .quad 0xabd4237eff90b534 + .quad 0x7600a960faf86d3a + .quad 0x2f45abdac2322ee3 + .quad 0x61af4912c8ef8a6a + .quad 0xe58fa4fe43fb6e5e + .quad 0xb5afcc5d6fd427cf + .quad 0x6a5393281e1e11eb + + // 2^156 * 4 * G + + .quad 0xf3da5139a5d1ee89 + .quad 0x8145457cff936988 + .quad 0x3f622fed00e188c4 + .quad 0x0f513815db8b5a3d + .quad 0x0fff04fe149443cf + .quad 0x53cac6d9865cddd7 + .quad 0x31385b03531ed1b7 + .quad 0x5846a27cacd1039d + .quad 0x4ff5cdac1eb08717 + .quad 0x67e8b29590f2e9bc + .quad 0x44093b5e237afa99 + .quad 0x0d414bed8708b8b2 + + // 2^156 * 5 * G + + .quad 0xcfb68265fd0e75f6 + .quad 0xe45b3e28bb90e707 + .quad 0x7242a8de9ff92c7a + .quad 0x685b3201933202dd + .quad 0x81886a92294ac9e8 + .quad 0x23162b45d55547be + .quad 0x94cfbc4403715983 + .quad 0x50eb8fdb134bc401 + .quad 0xc0b73ec6d6b330cd + .quad 0x84e44807132faff1 + .quad 0x732b7352c4a5dee1 + .quad 0x5d7c7cf1aa7cd2d2 + + // 2^156 * 6 * G + + .quad 0xaf3b46bf7a4aafa2 + .quad 0xb78705ec4d40d411 + .quad 0x114f0c6aca7c15e3 + .quad 0x3f364faaa9489d4d + .quad 0x33d1013e9b73a562 + .quad 0x925cef5748ec26e1 + .quad 0xa7fce614dd468058 + .quad 0x78b0fad41e9aa438 + .quad 0xbf56a431ed05b488 + .quad 0xa533e66c9c495c7e + .quad 0xe8652baf87f3651a + .quad 0x0241800059d66c33 + + // 2^156 * 7 * G + + .quad 0xceb077fea37a5be4 + .quad 0xdb642f02e5a5eeb7 + .quad 0xc2e6d0c5471270b8 + .quad 0x4771b65538e4529c + .quad 0x28350c7dcf38ea01 + .quad 0x7c6cdbc0b2917ab6 + .quad 0xace7cfbe857082f7 + .quad 0x4d2845aba2d9a1e0 + .quad 0xbb537fe0447070de + .quad 0xcba744436dd557df + .quad 0xd3b5a3473600dbcb + .quad 0x4aeabbe6f9ffd7f8 + + // 2^156 * 8 * G + + .quad 0x4630119e40d8f78c + .quad 0xa01a9bc53c710e11 + .quad 0x486d2b258910dd79 + .quad 0x1e6c47b3db0324e5 + .quad 0x6a2134bcc4a9c8f2 + .quad 0xfbf8fd1c8ace2e37 + .quad 0x000ae3049911a0ba + .quad 0x046e3a616bc89b9e + .quad 0x14e65442f03906be + .quad 0x4a019d54e362be2a + .quad 0x68ccdfec8dc230c7 + .quad 0x7cfb7e3faf6b861c + + // 2^160 * 1 * G + + .quad 0x4637974e8c58aedc + .quad 0xb9ef22fbabf041a4 + .quad 0xe185d956e980718a + .quad 0x2f1b78fab143a8a6 + .quad 0x96eebffb305b2f51 + .quad 0xd3f938ad889596b8 + .quad 0xf0f52dc746d5dd25 + .quad 0x57968290bb3a0095 + .quad 0xf71ab8430a20e101 + .quad 0xf393658d24f0ec47 + .quad 0xcf7509a86ee2eed1 + .quad 0x7dc43e35dc2aa3e1 + + // 2^160 * 2 * G + + .quad 0x85966665887dd9c3 + .quad 0xc90f9b314bb05355 + .quad 0xc6e08df8ef2079b1 + .quad 0x7ef72016758cc12f + .quad 0x5a782a5c273e9718 + .quad 0x3576c6995e4efd94 + .quad 0x0f2ed8051f237d3e + .quad 0x044fb81d82d50a99 + .quad 0xc1df18c5a907e3d9 + .quad 0x57b3371dce4c6359 + .quad 0xca704534b201bb49 + .quad 0x7f79823f9c30dd2e + + // 2^160 * 3 * G + + .quad 0x8334d239a3b513e8 + .quad 0xc13670d4b91fa8d8 + .quad 0x12b54136f590bd33 + .quad 0x0a4e0373d784d9b4 + .quad 0x6a9c1ff068f587ba + .quad 0x0827894e0050c8de + .quad 0x3cbf99557ded5be7 + .quad 0x64a9b0431c06d6f0 + .quad 0x2eb3d6a15b7d2919 + .quad 0xb0b4f6a0d53a8235 + .quad 0x7156ce4389a45d47 + .quad 0x071a7d0ace18346c + + // 2^160 * 4 * G + + .quad 0xd3072daac887ba0b + .quad 0x01262905bfa562ee + .quad 0xcf543002c0ef768b + .quad 0x2c3bcc7146ea7e9c + .quad 0xcc0c355220e14431 + .quad 0x0d65950709b15141 + .quad 0x9af5621b209d5f36 + .quad 0x7c69bcf7617755d3 + .quad 0x07f0d7eb04e8295f + .quad 0x10db18252f50f37d + .quad 0xe951a9a3171798d7 + .quad 0x6f5a9a7322aca51d + + // 2^160 * 5 * G + + .quad 0x8ba1000c2f41c6c5 + .quad 0xc49f79c10cfefb9b + .quad 0x4efa47703cc51c9f + .quad 0x494e21a2e147afca + .quad 0xe729d4eba3d944be + .quad 0x8d9e09408078af9e + .quad 0x4525567a47869c03 + .quad 0x02ab9680ee8d3b24 + .quad 0xefa48a85dde50d9a + .quad 0x219a224e0fb9a249 + .quad 0xfa091f1dd91ef6d9 + .quad 0x6b5d76cbea46bb34 + + // 2^160 * 6 * G + + .quad 0x8857556cec0cd994 + .quad 0x6472dc6f5cd01dba + .quad 0xaf0169148f42b477 + .quad 0x0ae333f685277354 + .quad 0xe0f941171e782522 + .quad 0xf1e6ae74036936d3 + .quad 0x408b3ea2d0fcc746 + .quad 0x16fb869c03dd313e + .quad 0x288e199733b60962 + .quad 0x24fc72b4d8abe133 + .quad 0x4811f7ed0991d03e + .quad 0x3f81e38b8f70d075 + + // 2^160 * 7 * G + + .quad 0x7f910fcc7ed9affe + .quad 0x545cb8a12465874b + .quad 0xa8397ed24b0c4704 + .quad 0x50510fc104f50993 + .quad 0x0adb7f355f17c824 + .quad 0x74b923c3d74299a4 + .quad 0xd57c3e8bcbf8eaf7 + .quad 0x0ad3e2d34cdedc3d + .quad 0x6f0c0fc5336e249d + .quad 0x745ede19c331cfd9 + .quad 0xf2d6fd0009eefe1c + .quad 0x127c158bf0fa1ebe + + // 2^160 * 8 * G + + .quad 0xf6197c422e9879a2 + .quad 0xa44addd452ca3647 + .quad 0x9b413fc14b4eaccb + .quad 0x354ef87d07ef4f68 + .quad 0xdea28fc4ae51b974 + .quad 0x1d9973d3744dfe96 + .quad 0x6240680b873848a8 + .quad 0x4ed82479d167df95 + .quad 0xfee3b52260c5d975 + .quad 0x50352efceb41b0b8 + .quad 0x8808ac30a9f6653c + .quad 0x302d92d20539236d + + // 2^164 * 1 * G + + .quad 0x4c59023fcb3efb7c + .quad 0x6c2fcb99c63c2a94 + .quad 0xba4190e2c3c7e084 + .quad 0x0e545daea51874d9 + .quad 0x957b8b8b0df53c30 + .quad 0x2a1c770a8e60f098 + .quad 0xbbc7a670345796de + .quad 0x22a48f9a90c99bc9 + .quad 0x6b7dc0dc8d3fac58 + .quad 0x5497cd6ce6e42bfd + .quad 0x542f7d1bf400d305 + .quad 0x4159f47f048d9136 + + // 2^164 * 2 * G + + .quad 0x20ad660839e31e32 + .quad 0xf81e1bd58405be50 + .quad 0xf8064056f4dabc69 + .quad 0x14d23dd4ce71b975 + .quad 0x748515a8bbd24839 + .quad 0x77128347afb02b55 + .quad 0x50ba2ac649a2a17f + .quad 0x060525513ad730f1 + .quad 0xf2398e098aa27f82 + .quad 0x6d7982bb89a1b024 + .quad 0xfa694084214dd24c + .quad 0x71ab966fa32301c3 + + // 2^164 * 3 * G + + .quad 0x2dcbd8e34ded02fc + .quad 0x1151f3ec596f22aa + .quad 0xbca255434e0328da + .quad 0x35768fbe92411b22 + .quad 0xb1088a0702809955 + .quad 0x43b273ea0b43c391 + .quad 0xca9b67aefe0686ed + .quad 0x605eecbf8335f4ed + .quad 0x83200a656c340431 + .quad 0x9fcd71678ee59c2f + .quad 0x75d4613f71300f8a + .quad 0x7a912faf60f542f9 + + // 2^164 * 4 * G + + .quad 0xb204585e5edc1a43 + .quad 0x9f0e16ee5897c73c + .quad 0x5b82c0ae4e70483c + .quad 0x624a170e2bddf9be + .quad 0x253f4f8dfa2d5597 + .quad 0x25e49c405477130c + .quad 0x00c052e5996b1102 + .quad 0x33cb966e33bb6c4a + .quad 0x597028047f116909 + .quad 0x828ac41c1e564467 + .quad 0x70417dbde6217387 + .quad 0x721627aefbac4384 + + // 2^164 * 5 * G + + .quad 0x97d03bc38736add5 + .quad 0x2f1422afc532b130 + .quad 0x3aa68a057101bbc4 + .quad 0x4c946cf7e74f9fa7 + .quad 0xfd3097bc410b2f22 + .quad 0xf1a05da7b5cfa844 + .quad 0x61289a1def57ca74 + .quad 0x245ea199bb821902 + .quad 0xaedca66978d477f8 + .quad 0x1898ba3c29117fe1 + .quad 0xcf73f983720cbd58 + .quad 0x67da12e6b8b56351 + + // 2^164 * 6 * G + + .quad 0x7067e187b4bd6e07 + .quad 0x6e8f0203c7d1fe74 + .quad 0x93c6aa2f38c85a30 + .quad 0x76297d1f3d75a78a + .quad 0x2b7ef3d38ec8308c + .quad 0x828fd7ec71eb94ab + .quad 0x807c3b36c5062abd + .quad 0x0cb64cb831a94141 + .quad 0x3030fc33534c6378 + .quad 0xb9635c5ce541e861 + .quad 0x15d9a9bed9b2c728 + .quad 0x49233ea3f3775dcb + + // 2^164 * 7 * G + + .quad 0x629398fa8dbffc3a + .quad 0xe12fe52dd54db455 + .quad 0xf3be11dfdaf25295 + .quad 0x628b140dce5e7b51 + .quad 0x7b3985fe1c9f249b + .quad 0x4fd6b2d5a1233293 + .quad 0xceb345941adf4d62 + .quad 0x6987ff6f542de50c + .quad 0x47e241428f83753c + .quad 0x6317bebc866af997 + .quad 0xdabb5b433d1a9829 + .quad 0x074d8d245287fb2d + + // 2^164 * 8 * G + + .quad 0x8337d9cd440bfc31 + .quad 0x729d2ca1af318fd7 + .quad 0xa040a4a4772c2070 + .quad 0x46002ef03a7349be + .quad 0x481875c6c0e31488 + .quad 0x219429b2e22034b4 + .quad 0x7223c98a31283b65 + .quad 0x3420d60b342277f9 + .quad 0xfaa23adeaffe65f7 + .quad 0x78261ed45be0764c + .quad 0x441c0a1e2f164403 + .quad 0x5aea8e567a87d395 + + // 2^168 * 1 * G + + .quad 0x7813c1a2bca4283d + .quad 0xed62f091a1863dd9 + .quad 0xaec7bcb8c268fa86 + .quad 0x10e5d3b76f1cae4c + .quad 0x2dbc6fb6e4e0f177 + .quad 0x04e1bf29a4bd6a93 + .quad 0x5e1966d4787af6e8 + .quad 0x0edc5f5eb426d060 + .quad 0x5453bfd653da8e67 + .quad 0xe9dc1eec24a9f641 + .quad 0xbf87263b03578a23 + .quad 0x45b46c51361cba72 + + // 2^168 * 2 * G + + .quad 0xa9402abf314f7fa1 + .quad 0xe257f1dc8e8cf450 + .quad 0x1dbbd54b23a8be84 + .quad 0x2177bfa36dcb713b + .quad 0xce9d4ddd8a7fe3e4 + .quad 0xab13645676620e30 + .quad 0x4b594f7bb30e9958 + .quad 0x5c1c0aef321229df + .quad 0x37081bbcfa79db8f + .quad 0x6048811ec25f59b3 + .quad 0x087a76659c832487 + .quad 0x4ae619387d8ab5bb + + // 2^168 * 3 * G + + .quad 0x8ddbf6aa5344a32e + .quad 0x7d88eab4b41b4078 + .quad 0x5eb0eb974a130d60 + .quad 0x1a00d91b17bf3e03 + .quad 0x61117e44985bfb83 + .quad 0xfce0462a71963136 + .quad 0x83ac3448d425904b + .quad 0x75685abe5ba43d64 + .quad 0x6e960933eb61f2b2 + .quad 0x543d0fa8c9ff4952 + .quad 0xdf7275107af66569 + .quad 0x135529b623b0e6aa + + // 2^168 * 4 * G + + .quad 0x18f0dbd7add1d518 + .quad 0x979f7888cfc11f11 + .quad 0x8732e1f07114759b + .quad 0x79b5b81a65ca3a01 + .quad 0xf5c716bce22e83fe + .quad 0xb42beb19e80985c1 + .quad 0xec9da63714254aae + .quad 0x5972ea051590a613 + .quad 0x0fd4ac20dc8f7811 + .quad 0x9a9ad294ac4d4fa8 + .quad 0xc01b2d64b3360434 + .quad 0x4f7e9c95905f3bdb + + // 2^168 * 5 * G + + .quad 0x62674bbc5781302e + .quad 0xd8520f3989addc0f + .quad 0x8c2999ae53fbd9c6 + .quad 0x31993ad92e638e4c + .quad 0x71c8443d355299fe + .quad 0x8bcd3b1cdbebead7 + .quad 0x8092499ef1a49466 + .quad 0x1942eec4a144adc8 + .quad 0x7dac5319ae234992 + .quad 0x2c1b3d910cea3e92 + .quad 0x553ce494253c1122 + .quad 0x2a0a65314ef9ca75 + + // 2^168 * 6 * G + + .quad 0x2db7937ff7f927c2 + .quad 0xdb741f0617d0a635 + .quad 0x5982f3a21155af76 + .quad 0x4cf6e218647c2ded + .quad 0xcf361acd3c1c793a + .quad 0x2f9ebcac5a35bc3b + .quad 0x60e860e9a8cda6ab + .quad 0x055dc39b6dea1a13 + .quad 0xb119227cc28d5bb6 + .quad 0x07e24ebc774dffab + .quad 0xa83c78cee4a32c89 + .quad 0x121a307710aa24b6 + + // 2^168 * 7 * G + + .quad 0xe4db5d5e9f034a97 + .quad 0xe153fc093034bc2d + .quad 0x460546919551d3b1 + .quad 0x333fc76c7a40e52d + .quad 0xd659713ec77483c9 + .quad 0x88bfe077b82b96af + .quad 0x289e28231097bcd3 + .quad 0x527bb94a6ced3a9b + .quad 0x563d992a995b482e + .quad 0x3405d07c6e383801 + .quad 0x485035de2f64d8e5 + .quad 0x6b89069b20a7a9f7 + + // 2^168 * 8 * G + + .quad 0x812aa0416270220d + .quad 0x995a89faf9245b4e + .quad 0xffadc4ce5072ef05 + .quad 0x23bc2103aa73eb73 + .quad 0x4082fa8cb5c7db77 + .quad 0x068686f8c734c155 + .quad 0x29e6c8d9f6e7a57e + .quad 0x0473d308a7639bcf + .quad 0xcaee792603589e05 + .quad 0x2b4b421246dcc492 + .quad 0x02a1ef74e601a94f + .quad 0x102f73bfde04341a + + // 2^172 * 1 * G + + .quad 0xb5a2d50c7ec20d3e + .quad 0xc64bdd6ea0c97263 + .quad 0x56e89052c1ff734d + .quad 0x4929c6f72b2ffaba + .quad 0x358ecba293a36247 + .quad 0xaf8f9862b268fd65 + .quad 0x412f7e9968a01c89 + .quad 0x5786f312cd754524 + .quad 0x337788ffca14032c + .quad 0xf3921028447f1ee3 + .quad 0x8b14071f231bccad + .quad 0x4c817b4bf2344783 + + // 2^172 * 2 * G + + .quad 0x0ff853852871b96e + .quad 0xe13e9fab60c3f1bb + .quad 0xeefd595325344402 + .quad 0x0a37c37075b7744b + .quad 0x413ba057a40b4484 + .quad 0xba4c2e1a4f5f6a43 + .quad 0x614ba0a5aee1d61c + .quad 0x78a1531a8b05dc53 + .quad 0x6cbdf1703ad0562b + .quad 0x8ecf4830c92521a3 + .quad 0xdaebd303fd8424e7 + .quad 0x72ad82a42e5ec56f + + // 2^172 * 3 * G + + .quad 0x3f9e8e35bafb65f6 + .quad 0x39d69ec8f27293a1 + .quad 0x6cb8cd958cf6a3d0 + .quad 0x1734778173adae6d + .quad 0xc368939167024bc3 + .quad 0x8e69d16d49502fda + .quad 0xfcf2ec3ce45f4b29 + .quad 0x065f669ea3b4cbc4 + .quad 0x8a00aec75532db4d + .quad 0xb869a4e443e31bb1 + .quad 0x4a0f8552d3a7f515 + .quad 0x19adeb7c303d7c08 + + // 2^172 * 4 * G + + .quad 0xc720cb6153ead9a3 + .quad 0x55b2c97f512b636e + .quad 0xb1e35b5fd40290b1 + .quad 0x2fd9ccf13b530ee2 + .quad 0x9d05ba7d43c31794 + .quad 0x2470c8ff93322526 + .quad 0x8323dec816197438 + .quad 0x2852709881569b53 + .quad 0x07bd475b47f796b8 + .quad 0xd2c7b013542c8f54 + .quad 0x2dbd23f43b24f87e + .quad 0x6551afd77b0901d6 + + // 2^172 * 5 * G + + .quad 0x4546baaf54aac27f + .quad 0xf6f66fecb2a45a28 + .quad 0x582d1b5b562bcfe8 + .quad 0x44b123f3920f785f + .quad 0x68a24ce3a1d5c9ac + .quad 0xbb77a33d10ff6461 + .quad 0x0f86ce4425d3166e + .quad 0x56507c0950b9623b + .quad 0x1206f0b7d1713e63 + .quad 0x353fe3d915bafc74 + .quad 0x194ceb970ad9d94d + .quad 0x62fadd7cf9d03ad3 + + // 2^172 * 6 * G + + .quad 0xc6b5967b5598a074 + .quad 0x5efe91ce8e493e25 + .quad 0xd4b72c4549280888 + .quad 0x20ef1149a26740c2 + .quad 0x3cd7bc61e7ce4594 + .quad 0xcd6b35a9b7dd267e + .quad 0xa080abc84366ef27 + .quad 0x6ec7c46f59c79711 + .quad 0x2f07ad636f09a8a2 + .quad 0x8697e6ce24205e7d + .quad 0xc0aefc05ee35a139 + .quad 0x15e80958b5f9d897 + + // 2^172 * 7 * G + + .quad 0x25a5ef7d0c3e235b + .quad 0x6c39c17fbe134ee7 + .quad 0xc774e1342dc5c327 + .quad 0x021354b892021f39 + .quad 0x4dd1ed355bb061c4 + .quad 0x42dc0cef941c0700 + .quad 0x61305dc1fd86340e + .quad 0x56b2cc930e55a443 + .quad 0x1df79da6a6bfc5a2 + .quad 0x02f3a2749fde4369 + .quad 0xb323d9f2cda390a7 + .quad 0x7be0847b8774d363 + + // 2^172 * 8 * G + + .quad 0x8c99cc5a8b3f55c3 + .quad 0x0611d7253fded2a0 + .quad 0xed2995ff36b70a36 + .quad 0x1f699a54d78a2619 + .quad 0x1466f5af5307fa11 + .quad 0x817fcc7ded6c0af2 + .quad 0x0a6de44ec3a4a3fb + .quad 0x74071475bc927d0b + .quad 0xe77292f373e7ea8a + .quad 0x296537d2cb045a31 + .quad 0x1bd0653ed3274fde + .quad 0x2f9a2c4476bd2966 + + // 2^176 * 1 * G + + .quad 0xeb18b9ab7f5745c6 + .quad 0x023a8aee5787c690 + .quad 0xb72712da2df7afa9 + .quad 0x36597d25ea5c013d + .quad 0xa2b4dae0b5511c9a + .quad 0x7ac860292bffff06 + .quad 0x981f375df5504234 + .quad 0x3f6bd725da4ea12d + .quad 0x734d8d7b106058ac + .quad 0xd940579e6fc6905f + .quad 0x6466f8f99202932d + .quad 0x7b7ecc19da60d6d0 + + // 2^176 * 2 * G + + .quad 0x78c2373c695c690d + .quad 0xdd252e660642906e + .quad 0x951d44444ae12bd2 + .quad 0x4235ad7601743956 + .quad 0x6dae4a51a77cfa9b + .quad 0x82263654e7a38650 + .quad 0x09bbffcd8f2d82db + .quad 0x03bedc661bf5caba + .quad 0x6258cb0d078975f5 + .quad 0x492942549189f298 + .quad 0xa0cab423e2e36ee4 + .quad 0x0e7ce2b0cdf066a1 + + // 2^176 * 3 * G + + .quad 0xc494643ac48c85a3 + .quad 0xfd361df43c6139ad + .quad 0x09db17dd3ae94d48 + .quad 0x666e0a5d8fb4674a + .quad 0xfea6fedfd94b70f9 + .quad 0xf130c051c1fcba2d + .quad 0x4882d47e7f2fab89 + .quad 0x615256138aeceeb5 + .quad 0x2abbf64e4870cb0d + .quad 0xcd65bcf0aa458b6b + .quad 0x9abe4eba75e8985d + .quad 0x7f0bc810d514dee4 + + // 2^176 * 4 * G + + .quad 0xb9006ba426f4136f + .quad 0x8d67369e57e03035 + .quad 0xcbc8dfd94f463c28 + .quad 0x0d1f8dbcf8eedbf5 + .quad 0x83ac9dad737213a0 + .quad 0x9ff6f8ba2ef72e98 + .quad 0x311e2edd43ec6957 + .quad 0x1d3a907ddec5ab75 + .quad 0xba1693313ed081dc + .quad 0x29329fad851b3480 + .quad 0x0128013c030321cb + .quad 0x00011b44a31bfde3 + + // 2^176 * 5 * G + + .quad 0x3fdfa06c3fc66c0c + .quad 0x5d40e38e4dd60dd2 + .quad 0x7ae38b38268e4d71 + .quad 0x3ac48d916e8357e1 + .quad 0x16561f696a0aa75c + .quad 0xc1bf725c5852bd6a + .quad 0x11a8dd7f9a7966ad + .quad 0x63d988a2d2851026 + .quad 0x00120753afbd232e + .quad 0xe92bceb8fdd8f683 + .quad 0xf81669b384e72b91 + .quad 0x33fad52b2368a066 + + // 2^176 * 6 * G + + .quad 0x540649c6c5e41e16 + .quad 0x0af86430333f7735 + .quad 0xb2acfcd2f305e746 + .quad 0x16c0f429a256dca7 + .quad 0x8d2cc8d0c422cfe8 + .quad 0x072b4f7b05a13acb + .quad 0xa3feb6e6ecf6a56f + .quad 0x3cc355ccb90a71e2 + .quad 0xe9b69443903e9131 + .quad 0xb8a494cb7a5637ce + .quad 0xc87cd1a4baba9244 + .quad 0x631eaf426bae7568 + + // 2^176 * 7 * G + + .quad 0xb3e90410da66fe9f + .quad 0x85dd4b526c16e5a6 + .quad 0xbc3d97611ef9bf83 + .quad 0x5599648b1ea919b5 + .quad 0x47d975b9a3700de8 + .quad 0x7280c5fbe2f80552 + .quad 0x53658f2732e45de1 + .quad 0x431f2c7f665f80b5 + .quad 0xd6026344858f7b19 + .quad 0x14ab352fa1ea514a + .quad 0x8900441a2090a9d7 + .quad 0x7b04715f91253b26 + + // 2^176 * 8 * G + + .quad 0x83edbd28acf6ae43 + .quad 0x86357c8b7d5c7ab4 + .quad 0xc0404769b7eb2c44 + .quad 0x59b37bf5c2f6583f + .quad 0xb376c280c4e6bac6 + .quad 0x970ed3dd6d1d9b0b + .quad 0xb09a9558450bf944 + .quad 0x48d0acfa57cde223 + .quad 0xb60f26e47dabe671 + .quad 0xf1d1a197622f3a37 + .quad 0x4208ce7ee9960394 + .quad 0x16234191336d3bdb + + // 2^180 * 1 * G + + .quad 0xf19aeac733a63aef + .quad 0x2c7fba5d4442454e + .quad 0x5da87aa04795e441 + .quad 0x413051e1a4e0b0f5 + .quad 0x852dd1fd3d578bbe + .quad 0x2b65ce72c3286108 + .quad 0x658c07f4eace2273 + .quad 0x0933f804ec38ab40 + .quad 0xa7ab69798d496476 + .quad 0x8121aadefcb5abc8 + .quad 0xa5dc12ef7b539472 + .quad 0x07fd47065e45351a + + // 2^180 * 2 * G + + .quad 0xc8583c3d258d2bcd + .quad 0x17029a4daf60b73f + .quad 0xfa0fc9d6416a3781 + .quad 0x1c1e5fba38b3fb23 + .quad 0x304211559ae8e7c3 + .quad 0xf281b229944882a5 + .quad 0x8a13ac2e378250e4 + .quad 0x014afa0954ba48f4 + .quad 0xcb3197001bb3666c + .quad 0x330060524bffecb9 + .quad 0x293711991a88233c + .quad 0x291884363d4ed364 + + // 2^180 * 3 * G + + .quad 0x033c6805dc4babfa + .quad 0x2c15bf5e5596ecc1 + .quad 0x1bc70624b59b1d3b + .quad 0x3ede9850a19f0ec5 + .quad 0xfb9d37c3bc1ab6eb + .quad 0x02be14534d57a240 + .quad 0xf4d73415f8a5e1f6 + .quad 0x5964f4300ccc8188 + .quad 0xe44a23152d096800 + .quad 0x5c08c55970866996 + .quad 0xdf2db60a46affb6e + .quad 0x579155c1f856fd89 + + // 2^180 * 4 * G + + .quad 0x96324edd12e0c9ef + .quad 0x468b878df2420297 + .quad 0x199a3776a4f573be + .quad 0x1e7fbcf18e91e92a + .quad 0xb5f16b630817e7a6 + .quad 0x808c69233c351026 + .quad 0x324a983b54cef201 + .quad 0x53c092084a485345 + .quad 0xd2d41481f1cbafbf + .quad 0x231d2db6716174e5 + .quad 0x0b7d7656e2a55c98 + .quad 0x3e955cd82aa495f6 + + // 2^180 * 5 * G + + .quad 0xe48f535e3ed15433 + .quad 0xd075692a0d7270a3 + .quad 0x40fbd21daade6387 + .quad 0x14264887cf4495f5 + .quad 0xab39f3ef61bb3a3f + .quad 0x8eb400652eb9193e + .quad 0xb5de6ecc38c11f74 + .quad 0x654d7e9626f3c49f + .quad 0xe564cfdd5c7d2ceb + .quad 0x82eeafded737ccb9 + .quad 0x6107db62d1f9b0ab + .quad 0x0b6baac3b4358dbb + + // 2^180 * 6 * G + + .quad 0x7ae62bcb8622fe98 + .quad 0x47762256ceb891af + .quad 0x1a5a92bcf2e406b4 + .quad 0x7d29401784e41501 + .quad 0x204abad63700a93b + .quad 0xbe0023d3da779373 + .quad 0xd85f0346633ab709 + .quad 0x00496dc490820412 + .quad 0x1c74b88dc27e6360 + .quad 0x074854268d14850c + .quad 0xa145fb7b3e0dcb30 + .quad 0x10843f1b43803b23 + + // 2^180 * 7 * G + + .quad 0xc5f90455376276dd + .quad 0xce59158dd7645cd9 + .quad 0x92f65d511d366b39 + .quad 0x11574b6e526996c4 + .quad 0xd56f672de324689b + .quad 0xd1da8aedb394a981 + .quad 0xdd7b58fe9168cfed + .quad 0x7ce246cd4d56c1e8 + .quad 0xb8f4308e7f80be53 + .quad 0x5f3cb8cb34a9d397 + .quad 0x18a961bd33cc2b2c + .quad 0x710045fb3a9af671 + + // 2^180 * 8 * G + + .quad 0x73f93d36101b95eb + .quad 0xfaef33794f6f4486 + .quad 0x5651735f8f15e562 + .quad 0x7fa3f19058b40da1 + .quad 0xa03fc862059d699e + .quad 0x2370cfa19a619e69 + .quad 0xc4fe3b122f823deb + .quad 0x1d1b056fa7f0844e + .quad 0x1bc64631e56bf61f + .quad 0xd379ab106e5382a3 + .quad 0x4d58c57e0540168d + .quad 0x566256628442d8e4 + + // 2^184 * 1 * G + + .quad 0xb9e499def6267ff6 + .quad 0x7772ca7b742c0843 + .quad 0x23a0153fe9a4f2b1 + .quad 0x2cdfdfecd5d05006 + .quad 0xdd499cd61ff38640 + .quad 0x29cd9bc3063625a0 + .quad 0x51e2d8023dd73dc3 + .quad 0x4a25707a203b9231 + .quad 0x2ab7668a53f6ed6a + .quad 0x304242581dd170a1 + .quad 0x4000144c3ae20161 + .quad 0x5721896d248e49fc + + // 2^184 * 2 * G + + .quad 0x0b6e5517fd181bae + .quad 0x9022629f2bb963b4 + .quad 0x5509bce932064625 + .quad 0x578edd74f63c13da + .quad 0x285d5091a1d0da4e + .quad 0x4baa6fa7b5fe3e08 + .quad 0x63e5177ce19393b3 + .quad 0x03c935afc4b030fd + .quad 0x997276c6492b0c3d + .quad 0x47ccc2c4dfe205fc + .quad 0xdcd29b84dd623a3c + .quad 0x3ec2ab590288c7a2 + + // 2^184 * 3 * G + + .quad 0xa1a0d27be4d87bb9 + .quad 0xa98b4deb61391aed + .quad 0x99a0ddd073cb9b83 + .quad 0x2dd5c25a200fcace + .quad 0xa7213a09ae32d1cb + .quad 0x0f2b87df40f5c2d5 + .quad 0x0baea4c6e81eab29 + .quad 0x0e1bf66c6adbac5e + .quad 0xe2abd5e9792c887e + .quad 0x1a020018cb926d5d + .quad 0xbfba69cdbaae5f1e + .quad 0x730548b35ae88f5f + + // 2^184 * 4 * G + + .quad 0xc43551a3cba8b8ee + .quad 0x65a26f1db2115f16 + .quad 0x760f4f52ab8c3850 + .quad 0x3043443b411db8ca + .quad 0x805b094ba1d6e334 + .quad 0xbf3ef17709353f19 + .quad 0x423f06cb0622702b + .quad 0x585a2277d87845dd + .quad 0xa18a5f8233d48962 + .quad 0x6698c4b5ec78257f + .quad 0xa78e6fa5373e41ff + .quad 0x7656278950ef981f + + // 2^184 * 5 * G + + .quad 0x38c3cf59d51fc8c0 + .quad 0x9bedd2fd0506b6f2 + .quad 0x26bf109fab570e8f + .quad 0x3f4160a8c1b846a6 + .quad 0xe17073a3ea86cf9d + .quad 0x3a8cfbb707155fdc + .quad 0x4853e7fc31838a8e + .quad 0x28bbf484b613f616 + .quad 0xf2612f5c6f136c7c + .quad 0xafead107f6dd11be + .quad 0x527e9ad213de6f33 + .quad 0x1e79cb358188f75d + + // 2^184 * 6 * G + + .quad 0x013436c3eef7e3f1 + .quad 0x828b6a7ffe9e10f8 + .quad 0x7ff908e5bcf9defc + .quad 0x65d7951b3a3b3831 + .quad 0x77e953d8f5e08181 + .quad 0x84a50c44299dded9 + .quad 0xdc6c2d0c864525e5 + .quad 0x478ab52d39d1f2f4 + .quad 0x66a6a4d39252d159 + .quad 0xe5dde1bc871ac807 + .quad 0xb82c6b40a6c1c96f + .quad 0x16d87a411a212214 + + // 2^184 * 7 * G + + .quad 0xb3bd7e5a42066215 + .quad 0x879be3cd0c5a24c1 + .quad 0x57c05db1d6f994b7 + .quad 0x28f87c8165f38ca6 + .quad 0xfba4d5e2d54e0583 + .quad 0xe21fafd72ebd99fa + .quad 0x497ac2736ee9778f + .quad 0x1f990b577a5a6dde + .quad 0xa3344ead1be8f7d6 + .quad 0x7d1e50ebacea798f + .quad 0x77c6569e520de052 + .quad 0x45882fe1534d6d3e + + // 2^184 * 8 * G + + .quad 0x6669345d757983d6 + .quad 0x62b6ed1117aa11a6 + .quad 0x7ddd1857985e128f + .quad 0x688fe5b8f626f6dd + .quad 0xd8ac9929943c6fe4 + .quad 0xb5f9f161a38392a2 + .quad 0x2699db13bec89af3 + .quad 0x7dcf843ce405f074 + .quad 0x6c90d6484a4732c0 + .quad 0xd52143fdca563299 + .quad 0xb3be28c3915dc6e1 + .quad 0x6739687e7327191b + + // 2^188 * 1 * G + + .quad 0x9f65c5ea200814cf + .quad 0x840536e169a31740 + .quad 0x8b0ed13925c8b4ad + .quad 0x0080dbafe936361d + .quad 0x8ce5aad0c9cb971f + .quad 0x1156aaa99fd54a29 + .quad 0x41f7247015af9b78 + .quad 0x1fe8cca8420f49aa + .quad 0x72a1848f3c0cc82a + .quad 0x38c560c2877c9e54 + .quad 0x5004e228ce554140 + .quad 0x042418a103429d71 + + // 2^188 * 2 * G + + .quad 0x899dea51abf3ff5f + .quad 0x9b93a8672fc2d8ba + .quad 0x2c38cb97be6ebd5c + .quad 0x114d578497263b5d + .quad 0x58e84c6f20816247 + .quad 0x8db2b2b6e36fd793 + .quad 0x977182561d484d85 + .quad 0x0822024f8632abd7 + .quad 0xb301bb7c6b1beca3 + .quad 0x55393f6dc6eb1375 + .quad 0x910d281097b6e4eb + .quad 0x1ad4548d9d479ea3 + + // 2^188 * 3 * G + + .quad 0xcd5a7da0389a48fd + .quad 0xb38fa4aa9a78371e + .quad 0xc6d9761b2cdb8e6c + .quad 0x35cf51dbc97e1443 + .quad 0xa06fe66d0fe9fed3 + .quad 0xa8733a401c587909 + .quad 0x30d14d800df98953 + .quad 0x41ce5876c7b30258 + .quad 0x59ac3bc5d670c022 + .quad 0xeae67c109b119406 + .quad 0x9798bdf0b3782fda + .quad 0x651e3201fd074092 + + // 2^188 * 4 * G + + .quad 0xd63d8483ef30c5cf + .quad 0x4cd4b4962361cc0c + .quad 0xee90e500a48426ac + .quad 0x0af51d7d18c14eeb + .quad 0xa57ba4a01efcae9e + .quad 0x769f4beedc308a94 + .quad 0xd1f10eeb3603cb2e + .quad 0x4099ce5e7e441278 + .quad 0x1ac98e4f8a5121e9 + .quad 0x7dae9544dbfa2fe0 + .quad 0x8320aa0dd6430df9 + .quad 0x667282652c4a2fb5 + + // 2^188 * 5 * G + + .quad 0x874621f4d86bc9ab + .quad 0xb54c7bbe56fe6fea + .quad 0x077a24257fadc22c + .quad 0x1ab53be419b90d39 + .quad 0xada8b6e02946db23 + .quad 0x1c0ce51a7b253ab7 + .quad 0x8448c85a66dd485b + .quad 0x7f1fc025d0675adf + .quad 0xd8ee1b18319ea6aa + .quad 0x004d88083a21f0da + .quad 0x3bd6aa1d883a4f4b + .quad 0x4db9a3a6dfd9fd14 + + // 2^188 * 6 * G + + .quad 0x8ce7b23bb99c0755 + .quad 0x35c5d6edc4f50f7a + .quad 0x7e1e2ed2ed9b50c3 + .quad 0x36305f16e8934da1 + .quad 0xd95b00bbcbb77c68 + .quad 0xddbc846a91f17849 + .quad 0x7cf700aebe28d9b3 + .quad 0x5ce1285c85d31f3e + .quad 0x31b6972d98b0bde8 + .quad 0x7d920706aca6de5b + .quad 0xe67310f8908a659f + .quad 0x50fac2a6efdf0235 + + // 2^188 * 7 * G + + .quad 0xf3d3a9f35b880f5a + .quad 0xedec050cdb03e7c2 + .quad 0xa896981ff9f0b1a2 + .quad 0x49a4ae2bac5e34a4 + .quad 0x295b1c86f6f449bc + .quad 0x51b2e84a1f0ab4dd + .quad 0xc001cb30aa8e551d + .quad 0x6a28d35944f43662 + .quad 0x28bb12ee04a740e0 + .quad 0x14313bbd9bce8174 + .quad 0x72f5b5e4e8c10c40 + .quad 0x7cbfb19936adcd5b + + // 2^188 * 8 * G + + .quad 0xa311ddc26b89792d + .quad 0x1b30b4c6da512664 + .quad 0x0ca77b4ccf150859 + .quad 0x1de443df1b009408 + .quad 0x8e793a7acc36e6e0 + .quad 0xf9fab7a37d586eed + .quad 0x3a4f9692bae1f4e4 + .quad 0x1c14b03eff5f447e + .quad 0x19647bd114a85291 + .quad 0x57b76cb21034d3af + .quad 0x6329db440f9d6dfa + .quad 0x5ef43e586a571493 + + // 2^192 * 1 * G + + .quad 0xef782014385675a6 + .quad 0xa2649f30aafda9e8 + .quad 0x4cd1eb505cdfa8cb + .quad 0x46115aba1d4dc0b3 + .quad 0xa66dcc9dc80c1ac0 + .quad 0x97a05cf41b38a436 + .quad 0xa7ebf3be95dbd7c6 + .quad 0x7da0b8f68d7e7dab + .quad 0xd40f1953c3b5da76 + .quad 0x1dac6f7321119e9b + .quad 0x03cc6021feb25960 + .quad 0x5a5f887e83674b4b + + // 2^192 * 2 * G + + .quad 0x8f6301cf70a13d11 + .quad 0xcfceb815350dd0c4 + .quad 0xf70297d4a4bca47e + .quad 0x3669b656e44d1434 + .quad 0x9e9628d3a0a643b9 + .quad 0xb5c3cb00e6c32064 + .quad 0x9b5302897c2dec32 + .quad 0x43e37ae2d5d1c70c + .quad 0x387e3f06eda6e133 + .quad 0x67301d5199a13ac0 + .quad 0xbd5ad8f836263811 + .quad 0x6a21e6cd4fd5e9be + + // 2^192 * 3 * G + + .quad 0xf1c6170a3046e65f + .quad 0x58712a2a00d23524 + .quad 0x69dbbd3c8c82b755 + .quad 0x586bf9f1a195ff57 + .quad 0xef4129126699b2e3 + .quad 0x71d30847708d1301 + .quad 0x325432d01182b0bd + .quad 0x45371b07001e8b36 + .quad 0xa6db088d5ef8790b + .quad 0x5278f0dc610937e5 + .quad 0xac0349d261a16eb8 + .quad 0x0eafb03790e52179 + + // 2^192 * 4 * G + + .quad 0x960555c13748042f + .quad 0x219a41e6820baa11 + .quad 0x1c81f73873486d0c + .quad 0x309acc675a02c661 + .quad 0x5140805e0f75ae1d + .quad 0xec02fbe32662cc30 + .quad 0x2cebdf1eea92396d + .quad 0x44ae3344c5435bb3 + .quad 0x9cf289b9bba543ee + .quad 0xf3760e9d5ac97142 + .quad 0x1d82e5c64f9360aa + .quad 0x62d5221b7f94678f + + // 2^192 * 5 * G + + .quad 0x524c299c18d0936d + .quad 0xc86bb56c8a0c1a0c + .quad 0xa375052edb4a8631 + .quad 0x5c0efde4bc754562 + .quad 0x7585d4263af77a3c + .quad 0xdfae7b11fee9144d + .quad 0xa506708059f7193d + .quad 0x14f29a5383922037 + .quad 0xdf717edc25b2d7f5 + .quad 0x21f970db99b53040 + .quad 0xda9234b7c3ed4c62 + .quad 0x5e72365c7bee093e + + // 2^192 * 6 * G + + .quad 0x575bfc074571217f + .quad 0x3779675d0694d95b + .quad 0x9a0a37bbf4191e33 + .quad 0x77f1104c47b4eabc + .quad 0x7d9339062f08b33e + .quad 0x5b9659e5df9f32be + .quad 0xacff3dad1f9ebdfd + .quad 0x70b20555cb7349b7 + .quad 0xbe5113c555112c4c + .quad 0x6688423a9a881fcd + .quad 0x446677855e503b47 + .quad 0x0e34398f4a06404a + + // 2^192 * 7 * G + + .quad 0xb67d22d93ecebde8 + .quad 0x09b3e84127822f07 + .quad 0x743fa61fb05b6d8d + .quad 0x5e5405368a362372 + .quad 0x18930b093e4b1928 + .quad 0x7de3e10e73f3f640 + .quad 0xf43217da73395d6f + .quad 0x6f8aded6ca379c3e + .quad 0xe340123dfdb7b29a + .quad 0x487b97e1a21ab291 + .quad 0xf9967d02fde6949e + .quad 0x780de72ec8d3de97 + + // 2^192 * 8 * G + + .quad 0x0ae28545089ae7bc + .quad 0x388ddecf1c7f4d06 + .quad 0x38ac15510a4811b8 + .quad 0x0eb28bf671928ce4 + .quad 0x671feaf300f42772 + .quad 0x8f72eb2a2a8c41aa + .quad 0x29a17fd797373292 + .quad 0x1defc6ad32b587a6 + .quad 0xaf5bbe1aef5195a7 + .quad 0x148c1277917b15ed + .quad 0x2991f7fb7ae5da2e + .quad 0x467d201bf8dd2867 + + // 2^196 * 1 * G + + .quad 0x7906ee72f7bd2e6b + .quad 0x05d270d6109abf4e + .quad 0x8d5cfe45b941a8a4 + .quad 0x44c218671c974287 + .quad 0x745f9d56296bc318 + .quad 0x993580d4d8152e65 + .quad 0xb0e5b13f5839e9ce + .quad 0x51fc2b28d43921c0 + .quad 0x1b8fd11795e2a98c + .quad 0x1c4e5ee12b6b6291 + .quad 0x5b30e7107424b572 + .quad 0x6e6b9de84c4f4ac6 + + // 2^196 * 2 * G + + .quad 0xdff25fce4b1de151 + .quad 0xd841c0c7e11c4025 + .quad 0x2554b3c854749c87 + .quad 0x2d292459908e0df9 + .quad 0x6b7c5f10f80cb088 + .quad 0x736b54dc56e42151 + .quad 0xc2b620a5c6ef99c4 + .quad 0x5f4c802cc3a06f42 + .quad 0x9b65c8f17d0752da + .quad 0x881ce338c77ee800 + .quad 0xc3b514f05b62f9e3 + .quad 0x66ed5dd5bec10d48 + + // 2^196 * 3 * G + + .quad 0x7d38a1c20bb2089d + .quad 0x808334e196ccd412 + .quad 0xc4a70b8c6c97d313 + .quad 0x2eacf8bc03007f20 + .quad 0xf0adf3c9cbca047d + .quad 0x81c3b2cbf4552f6b + .quad 0xcfda112d44735f93 + .quad 0x1f23a0c77e20048c + .quad 0xf235467be5bc1570 + .quad 0x03d2d9020dbab38c + .quad 0x27529aa2fcf9e09e + .quad 0x0840bef29d34bc50 + + // 2^196 * 4 * G + + .quad 0x796dfb35dc10b287 + .quad 0x27176bcd5c7ff29d + .quad 0x7f3d43e8c7b24905 + .quad 0x0304f5a191c54276 + .quad 0xcd54e06b7f37e4eb + .quad 0x8cc15f87f5e96cca + .quad 0xb8248bb0d3597dce + .quad 0x246affa06074400c + .quad 0x37d88e68fbe45321 + .quad 0x86097548c0d75032 + .quad 0x4e9b13ef894a0d35 + .quad 0x25a83cac5753d325 + + // 2^196 * 5 * G + + .quad 0x10222f48eed8165e + .quad 0x623fc1234b8bcf3a + .quad 0x1e145c09c221e8f0 + .quad 0x7ccfa59fca782630 + .quad 0x9f0f66293952b6e2 + .quad 0x33db5e0e0934267b + .quad 0xff45252bd609fedc + .quad 0x06be10f5c506e0c9 + .quad 0x1a9615a9b62a345f + .quad 0x22050c564a52fecc + .quad 0xa7a2788528bc0dfe + .quad 0x5e82770a1a1ee71d + + // 2^196 * 6 * G + + .quad 0x35425183ad896a5c + .quad 0xe8673afbe78d52f6 + .quad 0x2c66f25f92a35f64 + .quad 0x09d04f3b3b86b102 + .quad 0xe802e80a42339c74 + .quad 0x34175166a7fffae5 + .quad 0x34865d1f1c408cae + .quad 0x2cca982c605bc5ee + .quad 0xfd2d5d35197dbe6e + .quad 0x207c2eea8be4ffa3 + .quad 0x2613d8db325ae918 + .quad 0x7a325d1727741d3e + + // 2^196 * 7 * G + + .quad 0xd036b9bbd16dfde2 + .quad 0xa2055757c497a829 + .quad 0x8e6cc966a7f12667 + .quad 0x4d3b1a791239c180 + .quad 0xecd27d017e2a076a + .quad 0xd788689f1636495e + .quad 0x52a61af0919233e5 + .quad 0x2a479df17bb1ae64 + .quad 0x9e5eee8e33db2710 + .quad 0x189854ded6c43ca5 + .quad 0xa41c22c592718138 + .quad 0x27ad5538a43a5e9b + + // 2^196 * 8 * G + + .quad 0x2746dd4b15350d61 + .quad 0xd03fcbc8ee9521b7 + .quad 0xe86e365a138672ca + .quad 0x510e987f7e7d89e2 + .quad 0xcb5a7d638e47077c + .quad 0x8db7536120a1c059 + .quad 0x549e1e4d8bedfdcc + .quad 0x080153b7503b179d + .quad 0xdda69d930a3ed3e3 + .quad 0x3d386ef1cd60a722 + .quad 0xc817ad58bdaa4ee6 + .quad 0x23be8d554fe7372a + + // 2^200 * 1 * G + + .quad 0x95fe919a74ef4fad + .quad 0x3a827becf6a308a2 + .quad 0x964e01d309a47b01 + .quad 0x71c43c4f5ba3c797 + .quad 0xbc1ef4bd567ae7a9 + .quad 0x3f624cb2d64498bd + .quad 0xe41064d22c1f4ec8 + .quad 0x2ef9c5a5ba384001 + .quad 0xb6fd6df6fa9e74cd + .quad 0xf18278bce4af267a + .quad 0x8255b3d0f1ef990e + .quad 0x5a758ca390c5f293 + + // 2^200 * 2 * G + + .quad 0xa2b72710d9462495 + .quad 0x3aa8c6d2d57d5003 + .quad 0xe3d400bfa0b487ca + .quad 0x2dbae244b3eb72ec + .quad 0x8ce0918b1d61dc94 + .quad 0x8ded36469a813066 + .quad 0xd4e6a829afe8aad3 + .quad 0x0a738027f639d43f + .quad 0x980f4a2f57ffe1cc + .quad 0x00670d0de1839843 + .quad 0x105c3f4a49fb15fd + .quad 0x2698ca635126a69c + + // 2^200 * 3 * G + + .quad 0xe765318832b0ba78 + .quad 0x381831f7925cff8b + .quad 0x08a81b91a0291fcc + .quad 0x1fb43dcc49caeb07 + .quad 0x2e3d702f5e3dd90e + .quad 0x9e3f0918e4d25386 + .quad 0x5e773ef6024da96a + .quad 0x3c004b0c4afa3332 + .quad 0x9aa946ac06f4b82b + .quad 0x1ca284a5a806c4f3 + .quad 0x3ed3265fc6cd4787 + .quad 0x6b43fd01cd1fd217 + + // 2^200 * 4 * G + + .quad 0xc7a75d4b4697c544 + .quad 0x15fdf848df0fffbf + .quad 0x2868b9ebaa46785a + .quad 0x5a68d7105b52f714 + .quad 0xb5c742583e760ef3 + .quad 0x75dc52b9ee0ab990 + .quad 0xbf1427c2072b923f + .quad 0x73420b2d6ff0d9f0 + .quad 0xaf2cf6cb9e851e06 + .quad 0x8f593913c62238c4 + .quad 0xda8ab89699fbf373 + .quad 0x3db5632fea34bc9e + + // 2^200 * 5 * G + + .quad 0xf46eee2bf75dd9d8 + .quad 0x0d17b1f6396759a5 + .quad 0x1bf2d131499e7273 + .quad 0x04321adf49d75f13 + .quad 0x2e4990b1829825d5 + .quad 0xedeaeb873e9a8991 + .quad 0xeef03d394c704af8 + .quad 0x59197ea495df2b0e + .quad 0x04e16019e4e55aae + .quad 0xe77b437a7e2f92e9 + .quad 0xc7ce2dc16f159aa4 + .quad 0x45eafdc1f4d70cc0 + + // 2^200 * 6 * G + + .quad 0x698401858045d72b + .quad 0x4c22faa2cf2f0651 + .quad 0x941a36656b222dc6 + .quad 0x5a5eebc80362dade + .quad 0xb60e4624cfccb1ed + .quad 0x59dbc292bd5c0395 + .quad 0x31a09d1ddc0481c9 + .quad 0x3f73ceea5d56d940 + .quad 0xb7a7bfd10a4e8dc6 + .quad 0xbe57007e44c9b339 + .quad 0x60c1207f1557aefa + .quad 0x26058891266218db + + // 2^200 * 7 * G + + .quad 0x59f704a68360ff04 + .quad 0xc3d93fde7661e6f4 + .quad 0x831b2a7312873551 + .quad 0x54ad0c2e4e615d57 + .quad 0x4c818e3cc676e542 + .quad 0x5e422c9303ceccad + .quad 0xec07cccab4129f08 + .quad 0x0dedfa10b24443b8 + .quad 0xee3b67d5b82b522a + .quad 0x36f163469fa5c1eb + .quad 0xa5b4d2f26ec19fd3 + .quad 0x62ecb2baa77a9408 + + // 2^200 * 8 * G + + .quad 0xe5ed795261152b3d + .quad 0x4962357d0eddd7d1 + .quad 0x7482c8d0b96b4c71 + .quad 0x2e59f919a966d8be + .quad 0x92072836afb62874 + .quad 0x5fcd5e8579e104a5 + .quad 0x5aad01adc630a14a + .quad 0x61913d5075663f98 + .quad 0x0dc62d361a3231da + .quad 0xfa47583294200270 + .quad 0x02d801513f9594ce + .quad 0x3ddbc2a131c05d5c + + // 2^204 * 1 * G + + .quad 0x3f50a50a4ffb81ef + .quad 0xb1e035093bf420bf + .quad 0x9baa8e1cc6aa2cd0 + .quad 0x32239861fa237a40 + .quad 0xfb735ac2004a35d1 + .quad 0x31de0f433a6607c3 + .quad 0x7b8591bfc528d599 + .quad 0x55be9a25f5bb050c + .quad 0x0d005acd33db3dbf + .quad 0x0111b37c80ac35e2 + .quad 0x4892d66c6f88ebeb + .quad 0x770eadb16508fbcd + + // 2^204 * 2 * G + + .quad 0x8451f9e05e4e89dd + .quad 0xc06302ffbc793937 + .quad 0x5d22749556a6495c + .quad 0x09a6755ca05603fb + .quad 0xf1d3b681a05071b9 + .quad 0x2207659a3592ff3a + .quad 0x5f0169297881e40e + .quad 0x16bedd0e86ba374e + .quad 0x5ecccc4f2c2737b5 + .quad 0x43b79e0c2dccb703 + .quad 0x33e008bc4ec43df3 + .quad 0x06c1b840f07566c0 + + // 2^204 * 3 * G + + .quad 0x7688a5c6a388f877 + .quad 0x02a96c14deb2b6ac + .quad 0x64c9f3431b8c2af8 + .quad 0x3628435554a1eed6 + .quad 0x69ee9e7f9b02805c + .quad 0xcbff828a547d1640 + .quad 0x3d93a869b2430968 + .quad 0x46b7b8cd3fe26972 + .quad 0xe9812086fe7eebe0 + .quad 0x4cba6be72f515437 + .quad 0x1d04168b516efae9 + .quad 0x5ea1391043982cb9 + + // 2^204 * 4 * G + + .quad 0x49125c9cf4702ee1 + .quad 0x4520b71f8b25b32d + .quad 0x33193026501fef7e + .quad 0x656d8997c8d2eb2b + .quad 0x6f2b3be4d5d3b002 + .quad 0xafec33d96a09c880 + .quad 0x035f73a4a8bcc4cc + .quad 0x22c5b9284662198b + .quad 0xcb58c8fe433d8939 + .quad 0x89a0cb2e6a8d7e50 + .quad 0x79ca955309fbbe5a + .quad 0x0c626616cd7fc106 + + // 2^204 * 5 * G + + .quad 0x1ffeb80a4879b61f + .quad 0x6396726e4ada21ed + .quad 0x33c7b093368025ba + .quad 0x471aa0c6f3c31788 + .quad 0x8fdfc379fbf454b1 + .quad 0x45a5a970f1a4b771 + .quad 0xac921ef7bad35915 + .quad 0x42d088dca81c2192 + .quad 0x8fda0f37a0165199 + .quad 0x0adadb77c8a0e343 + .quad 0x20fbfdfcc875e820 + .quad 0x1cf2bea80c2206e7 + + // 2^204 * 6 * G + + .quad 0xc2ddf1deb36202ac + .quad 0x92a5fe09d2e27aa5 + .quad 0x7d1648f6fc09f1d3 + .quad 0x74c2cc0513bc4959 + .quad 0x982d6e1a02c0412f + .quad 0x90fa4c83db58e8fe + .quad 0x01c2f5bcdcb18bc0 + .quad 0x686e0c90216abc66 + .quad 0x1fadbadba54395a7 + .quad 0xb41a02a0ae0da66a + .quad 0xbf19f598bba37c07 + .quad 0x6a12b8acde48430d + + // 2^204 * 7 * G + + .quad 0xf8daea1f39d495d9 + .quad 0x592c190e525f1dfc + .quad 0xdb8cbd04c9991d1b + .quad 0x11f7fda3d88f0cb7 + .quad 0x793bdd801aaeeb5f + .quad 0x00a2a0aac1518871 + .quad 0xe8a373a31f2136b4 + .quad 0x48aab888fc91ef19 + .quad 0x041f7e925830f40e + .quad 0x002d6ca979661c06 + .quad 0x86dc9ff92b046a2e + .quad 0x760360928b0493d1 + + // 2^204 * 8 * G + + .quad 0x21bb41c6120cf9c6 + .quad 0xeab2aa12decda59b + .quad 0xc1a72d020aa48b34 + .quad 0x215d4d27e87d3b68 + .quad 0xb43108e5695a0b05 + .quad 0x6cb00ee8ad37a38b + .quad 0x5edad6eea3537381 + .quad 0x3f2602d4b6dc3224 + .quad 0xc8b247b65bcaf19c + .quad 0x49779dc3b1b2c652 + .quad 0x89a180bbd5ece2e2 + .quad 0x13f098a3cec8e039 + + // 2^208 * 1 * G + + .quad 0x9adc0ff9ce5ec54b + .quad 0x039c2a6b8c2f130d + .quad 0x028007c7f0f89515 + .quad 0x78968314ac04b36b + .quad 0xf3aa57a22796bb14 + .quad 0x883abab79b07da21 + .quad 0xe54be21831a0391c + .quad 0x5ee7fb38d83205f9 + .quad 0x538dfdcb41446a8e + .quad 0xa5acfda9434937f9 + .quad 0x46af908d263c8c78 + .quad 0x61d0633c9bca0d09 + + // 2^208 * 2 * G + + .quad 0x63744935ffdb2566 + .quad 0xc5bd6b89780b68bb + .quad 0x6f1b3280553eec03 + .quad 0x6e965fd847aed7f5 + .quad 0xada328bcf8fc73df + .quad 0xee84695da6f037fc + .quad 0x637fb4db38c2a909 + .quad 0x5b23ac2df8067bdc + .quad 0x9ad2b953ee80527b + .quad 0xe88f19aafade6d8d + .quad 0x0e711704150e82cf + .quad 0x79b9bbb9dd95dedc + + // 2^208 * 3 * G + + .quad 0xebb355406a3126c2 + .quad 0xd26383a868c8c393 + .quad 0x6c0c6429e5b97a82 + .quad 0x5065f158c9fd2147 + .quad 0xd1997dae8e9f7374 + .quad 0xa032a2f8cfbb0816 + .quad 0xcd6cba126d445f0a + .quad 0x1ba811460accb834 + .quad 0x708169fb0c429954 + .quad 0xe14600acd76ecf67 + .quad 0x2eaab98a70e645ba + .quad 0x3981f39e58a4faf2 + + // 2^208 * 4 * G + + .quad 0x18fb8a7559230a93 + .quad 0x1d168f6960e6f45d + .quad 0x3a85a94514a93cb5 + .quad 0x38dc083705acd0fd + .quad 0xc845dfa56de66fde + .quad 0xe152a5002c40483a + .quad 0xe9d2e163c7b4f632 + .quad 0x30f4452edcbc1b65 + .quad 0x856d2782c5759740 + .quad 0xfa134569f99cbecc + .quad 0x8844fc73c0ea4e71 + .quad 0x632d9a1a593f2469 + + // 2^208 * 5 * G + + .quad 0xf6bb6b15b807cba6 + .quad 0x1823c7dfbc54f0d7 + .quad 0xbb1d97036e29670b + .quad 0x0b24f48847ed4a57 + .quad 0xbf09fd11ed0c84a7 + .quad 0x63f071810d9f693a + .quad 0x21908c2d57cf8779 + .quad 0x3a5a7df28af64ba2 + .quad 0xdcdad4be511beac7 + .quad 0xa4538075ed26ccf2 + .quad 0xe19cff9f005f9a65 + .quad 0x34fcf74475481f63 + + // 2^208 * 6 * G + + .quad 0xc197e04c789767ca + .quad 0xb8714dcb38d9467d + .quad 0x55de888283f95fa8 + .quad 0x3d3bdc164dfa63f7 + .quad 0xa5bb1dab78cfaa98 + .quad 0x5ceda267190b72f2 + .quad 0x9309c9110a92608e + .quad 0x0119a3042fb374b0 + .quad 0x67a2d89ce8c2177d + .quad 0x669da5f66895d0c1 + .quad 0xf56598e5b282a2b0 + .quad 0x56c088f1ede20a73 + + // 2^208 * 7 * G + + .quad 0x336d3d1110a86e17 + .quad 0xd7f388320b75b2fa + .quad 0xf915337625072988 + .quad 0x09674c6b99108b87 + .quad 0x581b5fac24f38f02 + .quad 0xa90be9febae30cbd + .quad 0x9a2169028acf92f0 + .quad 0x038b7ea48359038f + .quad 0x9f4ef82199316ff8 + .quad 0x2f49d282eaa78d4f + .quad 0x0971a5ab5aef3174 + .quad 0x6e5e31025969eb65 + + // 2^208 * 8 * G + + .quad 0xb16c62f587e593fb + .quad 0x4999eddeca5d3e71 + .quad 0xb491c1e014cc3e6d + .quad 0x08f5114789a8dba8 + .quad 0x3304fb0e63066222 + .quad 0xfb35068987acba3f + .quad 0xbd1924778c1061a3 + .quad 0x3058ad43d1838620 + .quad 0x323c0ffde57663d0 + .quad 0x05c3df38a22ea610 + .quad 0xbdc78abdac994f9a + .quad 0x26549fa4efe3dc99 + + // 2^212 * 1 * G + + .quad 0x738b38d787ce8f89 + .quad 0xb62658e24179a88d + .quad 0x30738c9cf151316d + .quad 0x49128c7f727275c9 + .quad 0x04dbbc17f75396b9 + .quad 0x69e6a2d7d2f86746 + .quad 0xc6409d99f53eabc6 + .quad 0x606175f6332e25d2 + .quad 0x4021370ef540e7dd + .quad 0x0910d6f5a1f1d0a5 + .quad 0x4634aacd5b06b807 + .quad 0x6a39e6356944f235 + + // 2^212 * 2 * G + + .quad 0x96cd5640df90f3e7 + .quad 0x6c3a760edbfa25ea + .quad 0x24f3ef0959e33cc4 + .quad 0x42889e7e530d2e58 + .quad 0x1da1965774049e9d + .quad 0xfbcd6ea198fe352b + .quad 0xb1cbcd50cc5236a6 + .quad 0x1f5ec83d3f9846e2 + .quad 0x8efb23c3328ccb75 + .quad 0xaf42a207dd876ee9 + .quad 0x20fbdadc5dfae796 + .quad 0x241e246b06bf9f51 + + // 2^212 * 3 * G + + .quad 0x29e68e57ad6e98f6 + .quad 0x4c9260c80b462065 + .quad 0x3f00862ea51ebb4b + .quad 0x5bc2c77fb38d9097 + .quad 0x7eaafc9a6280bbb8 + .quad 0x22a70f12f403d809 + .quad 0x31ce40bb1bfc8d20 + .quad 0x2bc65635e8bd53ee + .quad 0xe8d5dc9fa96bad93 + .quad 0xe58fb17dde1947dc + .quad 0x681532ea65185fa3 + .quad 0x1fdd6c3b034a7830 + + // 2^212 * 4 * G + + .quad 0x0a64e28c55dc18fe + .quad 0xe3df9e993399ebdd + .quad 0x79ac432370e2e652 + .quad 0x35ff7fc33ae4cc0e + .quad 0x9c13a6a52dd8f7a9 + .quad 0x2dbb1f8c3efdcabf + .quad 0x961e32405e08f7b5 + .quad 0x48c8a121bbe6c9e5 + .quad 0xfc415a7c59646445 + .quad 0xd224b2d7c128b615 + .quad 0x6035c9c905fbb912 + .quad 0x42d7a91274429fab + + // 2^212 * 5 * G + + .quad 0x4e6213e3eaf72ed3 + .quad 0x6794981a43acd4e7 + .quad 0xff547cde6eb508cb + .quad 0x6fed19dd10fcb532 + .quad 0xa9a48947933da5bc + .quad 0x4a58920ec2e979ec + .quad 0x96d8800013e5ac4c + .quad 0x453692d74b48b147 + .quad 0xdd775d99a8559c6f + .quad 0xf42a2140df003e24 + .quad 0x5223e229da928a66 + .quad 0x063f46ba6d38f22c + + // 2^212 * 6 * G + + .quad 0xd2d242895f536694 + .quad 0xca33a2c542939b2c + .quad 0x986fada6c7ddb95c + .quad 0x5a152c042f712d5d + .quad 0x39843cb737346921 + .quad 0xa747fb0738c89447 + .quad 0xcb8d8031a245307e + .quad 0x67810f8e6d82f068 + .quad 0x3eeb8fbcd2287db4 + .quad 0x72c7d3a301a03e93 + .quad 0x5473e88cbd98265a + .quad 0x7324aa515921b403 + + // 2^212 * 7 * G + + .quad 0x857942f46c3cbe8e + .quad 0xa1d364b14730c046 + .quad 0x1c8ed914d23c41bf + .quad 0x0838e161eef6d5d2 + .quad 0xad23f6dae82354cb + .quad 0x6962502ab6571a6d + .quad 0x9b651636e38e37d1 + .quad 0x5cac5005d1a3312f + .quad 0x8cc154cce9e39904 + .quad 0x5b3a040b84de6846 + .quad 0xc4d8a61cb1be5d6e + .quad 0x40fb897bd8861f02 + + // 2^212 * 8 * G + + .quad 0x84c5aa9062de37a1 + .quad 0x421da5000d1d96e1 + .quad 0x788286306a9242d9 + .quad 0x3c5e464a690d10da + .quad 0xe57ed8475ab10761 + .quad 0x71435e206fd13746 + .quad 0x342f824ecd025632 + .quad 0x4b16281ea8791e7b + .quad 0xd1c101d50b813381 + .quad 0xdee60f1176ee6828 + .quad 0x0cb68893383f6409 + .quad 0x6183c565f6ff484a + + // 2^216 * 1 * G + + .quad 0x741d5a461e6bf9d6 + .quad 0x2305b3fc7777a581 + .quad 0xd45574a26474d3d9 + .quad 0x1926e1dc6401e0ff + .quad 0xdb468549af3f666e + .quad 0xd77fcf04f14a0ea5 + .quad 0x3df23ff7a4ba0c47 + .quad 0x3a10dfe132ce3c85 + .quad 0xe07f4e8aea17cea0 + .quad 0x2fd515463a1fc1fd + .quad 0x175322fd31f2c0f1 + .quad 0x1fa1d01d861e5d15 + + // 2^216 * 2 * G + + .quad 0xcc8055947d599832 + .quad 0x1e4656da37f15520 + .quad 0x99f6f7744e059320 + .quad 0x773563bc6a75cf33 + .quad 0x38dcac00d1df94ab + .quad 0x2e712bddd1080de9 + .quad 0x7f13e93efdd5e262 + .quad 0x73fced18ee9a01e5 + .quad 0x06b1e90863139cb3 + .quad 0xa493da67c5a03ecd + .quad 0x8d77cec8ad638932 + .quad 0x1f426b701b864f44 + + // 2^216 * 3 * G + + .quad 0xefc9264c41911c01 + .quad 0xf1a3b7b817a22c25 + .quad 0x5875da6bf30f1447 + .quad 0x4e1af5271d31b090 + .quad 0xf17e35c891a12552 + .quad 0xb76b8153575e9c76 + .quad 0xfa83406f0d9b723e + .quad 0x0b76bb1b3fa7e438 + .quad 0x08b8c1f97f92939b + .quad 0xbe6771cbd444ab6e + .quad 0x22e5646399bb8017 + .quad 0x7b6dd61eb772a955 + + // 2^216 * 4 * G + + .quad 0xb7adc1e850f33d92 + .quad 0x7998fa4f608cd5cf + .quad 0xad962dbd8dfc5bdb + .quad 0x703e9bceaf1d2f4f + .quad 0x5730abf9ab01d2c7 + .quad 0x16fb76dc40143b18 + .quad 0x866cbe65a0cbb281 + .quad 0x53fa9b659bff6afe + .quad 0x6c14c8e994885455 + .quad 0x843a5d6665aed4e5 + .quad 0x181bb73ebcd65af1 + .quad 0x398d93e5c4c61f50 + + // 2^216 * 5 * G + + .quad 0x1c4bd16733e248f3 + .quad 0xbd9e128715bf0a5f + .quad 0xd43f8cf0a10b0376 + .quad 0x53b09b5ddf191b13 + .quad 0xc3877c60d2e7e3f2 + .quad 0x3b34aaa030828bb1 + .quad 0x283e26e7739ef138 + .quad 0x699c9c9002c30577 + .quad 0xf306a7235946f1cc + .quad 0x921718b5cce5d97d + .quad 0x28cdd24781b4e975 + .quad 0x51caf30c6fcdd907 + + // 2^216 * 6 * G + + .quad 0xa60ba7427674e00a + .quad 0x630e8570a17a7bf3 + .quad 0x3758563dcf3324cc + .quad 0x5504aa292383fdaa + .quad 0x737af99a18ac54c7 + .quad 0x903378dcc51cb30f + .quad 0x2b89bc334ce10cc7 + .quad 0x12ae29c189f8e99a + .quad 0xa99ec0cb1f0d01cf + .quad 0x0dd1efcc3a34f7ae + .quad 0x55ca7521d09c4e22 + .quad 0x5fd14fe958eba5ea + + // 2^216 * 7 * G + + .quad 0xb5dc2ddf2845ab2c + .quad 0x069491b10a7fe993 + .quad 0x4daaf3d64002e346 + .quad 0x093ff26e586474d1 + .quad 0x3c42fe5ebf93cb8e + .quad 0xbedfa85136d4565f + .quad 0xe0f0859e884220e8 + .quad 0x7dd73f960725d128 + .quad 0xb10d24fe68059829 + .quad 0x75730672dbaf23e5 + .quad 0x1367253ab457ac29 + .quad 0x2f59bcbc86b470a4 + + // 2^216 * 8 * G + + .quad 0x83847d429917135f + .quad 0xad1b911f567d03d7 + .quad 0x7e7748d9be77aad1 + .quad 0x5458b42e2e51af4a + .quad 0x7041d560b691c301 + .quad 0x85201b3fadd7e71e + .quad 0x16c2e16311335585 + .quad 0x2aa55e3d010828b1 + .quad 0xed5192e60c07444f + .quad 0x42c54e2d74421d10 + .quad 0x352b4c82fdb5c864 + .quad 0x13e9004a8a768664 + + // 2^220 * 1 * G + + .quad 0xcbb5b5556c032bff + .quad 0xdf7191b729297a3a + .quad 0xc1ff7326aded81bb + .quad 0x71ade8bb68be03f5 + .quad 0x1e6284c5806b467c + .quad 0xc5f6997be75d607b + .quad 0x8b67d958b378d262 + .quad 0x3d88d66a81cd8b70 + .quad 0x8b767a93204ed789 + .quad 0x762fcacb9fa0ae2a + .quad 0x771febcc6dce4887 + .quad 0x343062158ff05fb3 + + // 2^220 * 2 * G + + .quad 0xe05da1a7e1f5bf49 + .quad 0x26457d6dd4736092 + .quad 0x77dcb07773cc32f6 + .quad 0x0a5d94969cdd5fcd + .quad 0xfce219072a7b31b4 + .quad 0x4d7adc75aa578016 + .quad 0x0ec276a687479324 + .quad 0x6d6d9d5d1fda4beb + .quad 0x22b1a58ae9b08183 + .quad 0xfd95d071c15c388b + .quad 0xa9812376850a0517 + .quad 0x33384cbabb7f335e + + // 2^220 * 3 * G + + .quad 0x3c6fa2680ca2c7b5 + .quad 0x1b5082046fb64fda + .quad 0xeb53349c5431d6de + .quad 0x5278b38f6b879c89 + .quad 0x33bc627a26218b8d + .quad 0xea80b21fc7a80c61 + .quad 0x9458b12b173e9ee6 + .quad 0x076247be0e2f3059 + .quad 0x52e105f61416375a + .quad 0xec97af3685abeba4 + .quad 0x26e6b50623a67c36 + .quad 0x5cf0e856f3d4fb01 + + // 2^220 * 4 * G + + .quad 0xf6c968731ae8cab4 + .quad 0x5e20741ecb4f92c5 + .quad 0x2da53be58ccdbc3e + .quad 0x2dddfea269970df7 + .quad 0xbeaece313db342a8 + .quad 0xcba3635b842db7ee + .quad 0xe88c6620817f13ef + .quad 0x1b9438aa4e76d5c6 + .quad 0x8a50777e166f031a + .quad 0x067b39f10fb7a328 + .quad 0x1925c9a6010fbd76 + .quad 0x6df9b575cc740905 + + // 2^220 * 5 * G + + .quad 0x42c1192927f6bdcf + .quad 0x8f91917a403d61ca + .quad 0xdc1c5a668b9e1f61 + .quad 0x1596047804ec0f8d + .quad 0xecdfc35b48cade41 + .quad 0x6a88471fb2328270 + .quad 0x740a4a2440a01b6a + .quad 0x471e5796003b5f29 + .quad 0xda96bbb3aced37ac + .quad 0x7a2423b5e9208cea + .quad 0x24cc5c3038aebae2 + .quad 0x50c356afdc5dae2f + + // 2^220 * 6 * G + + .quad 0x09dcbf4341c30318 + .quad 0xeeba061183181dce + .quad 0xc179c0cedc1e29a1 + .quad 0x1dbf7b89073f35b0 + .quad 0xcfed9cdf1b31b964 + .quad 0xf486a9858ca51af3 + .quad 0x14897265ea8c1f84 + .quad 0x784a53dd932acc00 + .quad 0x2d99f9df14fc4920 + .quad 0x76ccb60cc4499fe5 + .quad 0xa4132cbbe5cf0003 + .quad 0x3f93d82354f000ea + + // 2^220 * 7 * G + + .quad 0x8183e7689e04ce85 + .quad 0x678fb71e04465341 + .quad 0xad92058f6688edac + .quad 0x5da350d3532b099a + .quad 0xeaac12d179e14978 + .quad 0xff923ff3bbebff5e + .quad 0x4af663e40663ce27 + .quad 0x0fd381a811a5f5ff + .quad 0xf256aceca436df54 + .quad 0x108b6168ae69d6e8 + .quad 0x20d986cb6b5d036c + .quad 0x655957b9fee2af50 + + // 2^220 * 8 * G + + .quad 0xaea8b07fa902030f + .quad 0xf88c766af463d143 + .quad 0x15b083663c787a60 + .quad 0x08eab1148267a4a8 + .quad 0xbdc1409bd002d0ac + .quad 0x66660245b5ccd9a6 + .quad 0x82317dc4fade85ec + .quad 0x02fe934b6ad7df0d + .quad 0xef5cf100cfb7ea74 + .quad 0x22897633a1cb42ac + .quad 0xd4ce0c54cef285e2 + .quad 0x30408c048a146a55 + + // 2^224 * 1 * G + + .quad 0x739d8845832fcedb + .quad 0xfa38d6c9ae6bf863 + .quad 0x32bc0dcab74ffef7 + .quad 0x73937e8814bce45e + .quad 0xbb2e00c9193b877f + .quad 0xece3a890e0dc506b + .quad 0xecf3b7c036de649f + .quad 0x5f46040898de9e1a + .quad 0xb9037116297bf48d + .quad 0xa9d13b22d4f06834 + .quad 0xe19715574696bdc6 + .quad 0x2cf8a4e891d5e835 + + // 2^224 * 2 * G + + .quad 0x6d93fd8707110f67 + .quad 0xdd4c09d37c38b549 + .quad 0x7cb16a4cc2736a86 + .quad 0x2049bd6e58252a09 + .quad 0x2cb5487e17d06ba2 + .quad 0x24d2381c3950196b + .quad 0xd7659c8185978a30 + .quad 0x7a6f7f2891d6a4f6 + .quad 0x7d09fd8d6a9aef49 + .quad 0xf0ee60be5b3db90b + .quad 0x4c21b52c519ebfd4 + .quad 0x6011aadfc545941d + + // 2^224 * 3 * G + + .quad 0x5f67926dcf95f83c + .quad 0x7c7e856171289071 + .quad 0xd6a1e7f3998f7a5b + .quad 0x6fc5cc1b0b62f9e0 + .quad 0x63ded0c802cbf890 + .quad 0xfbd098ca0dff6aaa + .quad 0x624d0afdb9b6ed99 + .quad 0x69ce18b779340b1e + .quad 0xd1ef5528b29879cb + .quad 0xdd1aae3cd47e9092 + .quad 0x127e0442189f2352 + .quad 0x15596b3ae57101f1 + + // 2^224 * 4 * G + + .quad 0x462739d23f9179a2 + .quad 0xff83123197d6ddcf + .quad 0x1307deb553f2148a + .quad 0x0d2237687b5f4dda + .quad 0x09ff31167e5124ca + .quad 0x0be4158bd9c745df + .quad 0x292b7d227ef556e5 + .quad 0x3aa4e241afb6d138 + .quad 0x2cc138bf2a3305f5 + .quad 0x48583f8fa2e926c3 + .quad 0x083ab1a25549d2eb + .quad 0x32fcaa6e4687a36c + + // 2^224 * 5 * G + + .quad 0x7bc56e8dc57d9af5 + .quad 0x3e0bd2ed9df0bdf2 + .quad 0xaac014de22efe4a3 + .quad 0x4627e9cefebd6a5c + .quad 0x3207a4732787ccdf + .quad 0x17e31908f213e3f8 + .quad 0xd5b2ecd7f60d964e + .quad 0x746f6336c2600be9 + .quad 0x3f4af345ab6c971c + .quad 0xe288eb729943731f + .quad 0x33596a8a0344186d + .quad 0x7b4917007ed66293 + + // 2^224 * 6 * G + + .quad 0x2d85fb5cab84b064 + .quad 0x497810d289f3bc14 + .quad 0x476adc447b15ce0c + .quad 0x122ba376f844fd7b + .quad 0x54341b28dd53a2dd + .quad 0xaa17905bdf42fc3f + .quad 0x0ff592d94dd2f8f4 + .quad 0x1d03620fe08cd37d + .quad 0xc20232cda2b4e554 + .quad 0x9ed0fd42115d187f + .quad 0x2eabb4be7dd479d9 + .quad 0x02c70bf52b68ec4c + + // 2^224 * 7 * G + + .quad 0xa287ec4b5d0b2fbb + .quad 0x415c5790074882ca + .quad 0xe044a61ec1d0815c + .quad 0x26334f0a409ef5e0 + .quad 0xace532bf458d72e1 + .quad 0x5be768e07cb73cb5 + .quad 0x56cf7d94ee8bbde7 + .quad 0x6b0697e3feb43a03 + .quad 0xb6c8f04adf62a3c0 + .quad 0x3ef000ef076da45d + .quad 0x9c9cb95849f0d2a9 + .quad 0x1cc37f43441b2fae + + // 2^224 * 8 * G + + .quad 0x508f565a5cc7324f + .quad 0xd061c4c0e506a922 + .quad 0xfb18abdb5c45ac19 + .quad 0x6c6809c10380314a + .quad 0xd76656f1c9ceaeb9 + .quad 0x1c5b15f818e5656a + .quad 0x26e72832844c2334 + .quad 0x3a346f772f196838 + .quad 0xd2d55112e2da6ac8 + .quad 0xe9bd0331b1e851ed + .quad 0x960746dd8ec67262 + .quad 0x05911b9f6ef7c5d0 + + // 2^228 * 1 * G + + .quad 0xe9dcd756b637ff2d + .quad 0xec4c348fc987f0c4 + .quad 0xced59285f3fbc7b7 + .quad 0x3305354793e1ea87 + .quad 0x01c18980c5fe9f94 + .quad 0xcd656769716fd5c8 + .quad 0x816045c3d195a086 + .quad 0x6e2b7f3266cc7982 + .quad 0xcc802468f7c3568f + .quad 0x9de9ba8219974cb3 + .quad 0xabb7229cb5b81360 + .quad 0x44e2017a6fbeba62 + + // 2^228 * 2 * G + + .quad 0xc4c2a74354dab774 + .quad 0x8e5d4c3c4eaf031a + .quad 0xb76c23d242838f17 + .quad 0x749a098f68dce4ea + .quad 0x87f82cf3b6ca6ecd + .quad 0x580f893e18f4a0c2 + .quad 0x058930072604e557 + .quad 0x6cab6ac256d19c1d + .quad 0xdcdfe0a02cc1de60 + .quad 0x032665ff51c5575b + .quad 0x2c0c32f1073abeeb + .quad 0x6a882014cd7b8606 + + // 2^228 * 3 * G + + .quad 0xa52a92fea4747fb5 + .quad 0xdc12a4491fa5ab89 + .quad 0xd82da94bb847a4ce + .quad 0x4d77edce9512cc4e + .quad 0xd111d17caf4feb6e + .quad 0x050bba42b33aa4a3 + .quad 0x17514c3ceeb46c30 + .quad 0x54bedb8b1bc27d75 + .quad 0x77c8e14577e2189c + .quad 0xa3e46f6aff99c445 + .quad 0x3144dfc86d335343 + .quad 0x3a96559e7c4216a9 + + // 2^228 * 4 * G + + .quad 0x12550d37f42ad2ee + .quad 0x8b78e00498a1fbf5 + .quad 0x5d53078233894cb2 + .quad 0x02c84e4e3e498d0c + .quad 0x4493896880baaa52 + .quad 0x4c98afc4f285940e + .quad 0xef4aa79ba45448b6 + .quad 0x5278c510a57aae7f + .quad 0xa54dd074294c0b94 + .quad 0xf55d46b8df18ffb6 + .quad 0xf06fecc58dae8366 + .quad 0x588657668190d165 + + // 2^228 * 5 * G + + .quad 0xd47712311aef7117 + .quad 0x50343101229e92c7 + .quad 0x7a95e1849d159b97 + .quad 0x2449959b8b5d29c9 + .quad 0xbf5834f03de25cc3 + .quad 0xb887c8aed6815496 + .quad 0x5105221a9481e892 + .quad 0x6760ed19f7723f93 + .quad 0x669ba3b7ac35e160 + .quad 0x2eccf73fba842056 + .quad 0x1aec1f17c0804f07 + .quad 0x0d96bc031856f4e7 + + // 2^228 * 6 * G + + .quad 0x3318be7775c52d82 + .quad 0x4cb764b554d0aab9 + .quad 0xabcf3d27cc773d91 + .quad 0x3bf4d1848123288a + .quad 0xb1d534b0cc7505e1 + .quad 0x32cd003416c35288 + .quad 0xcb36a5800762c29d + .quad 0x5bfe69b9237a0bf8 + .quad 0x183eab7e78a151ab + .quad 0xbbe990c999093763 + .quad 0xff717d6e4ac7e335 + .quad 0x4c5cddb325f39f88 + + // 2^228 * 7 * G + + .quad 0xc0f6b74d6190a6eb + .quad 0x20ea81a42db8f4e4 + .quad 0xa8bd6f7d97315760 + .quad 0x33b1d60262ac7c21 + .quad 0x57750967e7a9f902 + .quad 0x2c37fdfc4f5b467e + .quad 0xb261663a3177ba46 + .quad 0x3a375e78dc2d532b + .quad 0x8141e72f2d4dddea + .quad 0xe6eafe9862c607c8 + .quad 0x23c28458573cafd0 + .quad 0x46b9476f4ff97346 + + // 2^228 * 8 * G + + .quad 0x0c1ffea44f901e5c + .quad 0x2b0b6fb72184b782 + .quad 0xe587ff910114db88 + .quad 0x37130f364785a142 + .quad 0x1215505c0d58359f + .quad 0x2a2013c7fc28c46b + .quad 0x24a0a1af89ea664e + .quad 0x4400b638a1130e1f + .quad 0x3a01b76496ed19c3 + .quad 0x31e00ab0ed327230 + .quad 0x520a885783ca15b1 + .quad 0x06aab9875accbec7 + + // 2^232 * 1 * G + + .quad 0xc1339983f5df0ebb + .quad 0xc0f3758f512c4cac + .quad 0x2cf1130a0bb398e1 + .quad 0x6b3cecf9aa270c62 + .quad 0x5349acf3512eeaef + .quad 0x20c141d31cc1cb49 + .quad 0x24180c07a99a688d + .quad 0x555ef9d1c64b2d17 + .quad 0x36a770ba3b73bd08 + .quad 0x624aef08a3afbf0c + .quad 0x5737ff98b40946f2 + .quad 0x675f4de13381749d + + // 2^232 * 2 * G + + .quad 0x0e2c52036b1782fc + .quad 0x64816c816cad83b4 + .quad 0xd0dcbdd96964073e + .quad 0x13d99df70164c520 + .quad 0xa12ff6d93bdab31d + .quad 0x0725d80f9d652dfe + .quad 0x019c4ff39abe9487 + .quad 0x60f450b882cd3c43 + .quad 0x014b5ec321e5c0ca + .quad 0x4fcb69c9d719bfa2 + .quad 0x4e5f1c18750023a0 + .quad 0x1c06de9e55edac80 + + // 2^232 * 3 * G + + .quad 0x990f7ad6a33ec4e2 + .quad 0x6608f938be2ee08e + .quad 0x9ca143c563284515 + .quad 0x4cf38a1fec2db60d + .quad 0xffd52b40ff6d69aa + .quad 0x34530b18dc4049bb + .quad 0x5e4a5c2fa34d9897 + .quad 0x78096f8e7d32ba2d + .quad 0xa0aaaa650dfa5ce7 + .quad 0xf9c49e2a48b5478c + .quad 0x4f09cc7d7003725b + .quad 0x373cad3a26091abe + + // 2^232 * 4 * G + + .quad 0xb294634d82c9f57c + .quad 0x1fcbfde124934536 + .quad 0x9e9c4db3418cdb5a + .quad 0x0040f3d9454419fc + .quad 0xf1bea8fb89ddbbad + .quad 0x3bcb2cbc61aeaecb + .quad 0x8f58a7bb1f9b8d9d + .quad 0x21547eda5112a686 + .quad 0xdefde939fd5986d3 + .quad 0xf4272c89510a380c + .quad 0xb72ba407bb3119b9 + .quad 0x63550a334a254df4 + + // 2^232 * 5 * G + + .quad 0x6507d6edb569cf37 + .quad 0x178429b00ca52ee1 + .quad 0xea7c0090eb6bd65d + .quad 0x3eea62c7daf78f51 + .quad 0x9bba584572547b49 + .quad 0xf305c6fae2c408e0 + .quad 0x60e8fa69c734f18d + .quad 0x39a92bafaa7d767a + .quad 0x9d24c713e693274e + .quad 0x5f63857768dbd375 + .quad 0x70525560eb8ab39a + .quad 0x68436a0665c9c4cd + + // 2^232 * 6 * G + + .quad 0xbc0235e8202f3f27 + .quad 0xc75c00e264f975b0 + .quad 0x91a4e9d5a38c2416 + .quad 0x17b6e7f68ab789f9 + .quad 0x1e56d317e820107c + .quad 0xc5266844840ae965 + .quad 0xc1e0a1c6320ffc7a + .quad 0x5373669c91611472 + .quad 0x5d2814ab9a0e5257 + .quad 0x908f2084c9cab3fc + .quad 0xafcaf5885b2d1eca + .quad 0x1cb4b5a678f87d11 + + // 2^232 * 7 * G + + .quad 0xb664c06b394afc6c + .quad 0x0c88de2498da5fb1 + .quad 0x4f8d03164bcad834 + .quad 0x330bca78de7434a2 + .quad 0x6b74aa62a2a007e7 + .quad 0xf311e0b0f071c7b1 + .quad 0x5707e438000be223 + .quad 0x2dc0fd2d82ef6eac + .quad 0x982eff841119744e + .quad 0xf9695e962b074724 + .quad 0xc58ac14fbfc953fb + .quad 0x3c31be1b369f1cf5 + + // 2^232 * 8 * G + + .quad 0xb0f4864d08948aee + .quad 0x07dc19ee91ba1c6f + .quad 0x7975cdaea6aca158 + .quad 0x330b61134262d4bb + .quad 0xc168bc93f9cb4272 + .quad 0xaeb8711fc7cedb98 + .quad 0x7f0e52aa34ac8d7a + .quad 0x41cec1097e7d55bb + .quad 0xf79619d7a26d808a + .quad 0xbb1fd49e1d9e156d + .quad 0x73d7c36cdba1df27 + .quad 0x26b44cd91f28777d + + // 2^236 * 1 * G + + .quad 0x300a9035393aa6d8 + .quad 0x2b501131a12bb1cd + .quad 0x7b1ff677f093c222 + .quad 0x4309c1f8cab82bad + .quad 0xaf44842db0285f37 + .quad 0x8753189047efc8df + .quad 0x9574e091f820979a + .quad 0x0e378d6069615579 + .quad 0xd9fa917183075a55 + .quad 0x4bdb5ad26b009fdc + .quad 0x7829ad2cd63def0e + .quad 0x078fc54975fd3877 + + // 2^236 * 2 * G + + .quad 0x87dfbd1428878f2d + .quad 0x134636dd1e9421a1 + .quad 0x4f17c951257341a3 + .quad 0x5df98d4bad296cb8 + .quad 0xe2004b5bb833a98a + .quad 0x44775dec2d4c3330 + .quad 0x3aa244067eace913 + .quad 0x272630e3d58e00a9 + .quad 0xf3678fd0ecc90b54 + .quad 0xf001459b12043599 + .quad 0x26725fbc3758b89b + .quad 0x4325e4aa73a719ae + + // 2^236 * 3 * G + + .quad 0x657dc6ef433c3493 + .quad 0x65375e9f80dbf8c3 + .quad 0x47fd2d465b372dae + .quad 0x4966ab79796e7947 + .quad 0xed24629acf69f59d + .quad 0x2a4a1ccedd5abbf4 + .quad 0x3535ca1f56b2d67b + .quad 0x5d8c68d043b1b42d + .quad 0xee332d4de3b42b0a + .quad 0xd84e5a2b16a4601c + .quad 0x78243877078ba3e4 + .quad 0x77ed1eb4184ee437 + + // 2^236 * 4 * G + + .quad 0xbfd4e13f201839a0 + .quad 0xaeefffe23e3df161 + .quad 0xb65b04f06b5d1fe3 + .quad 0x52e085fb2b62fbc0 + .quad 0x185d43f89e92ed1a + .quad 0xb04a1eeafe4719c6 + .quad 0x499fbe88a6f03f4f + .quad 0x5d8b0d2f3c859bdd + .quad 0x124079eaa54cf2ba + .quad 0xd72465eb001b26e7 + .quad 0x6843bcfdc97af7fd + .quad 0x0524b42b55eacd02 + + // 2^236 * 5 * G + + .quad 0xfd0d5dbee45447b0 + .quad 0x6cec351a092005ee + .quad 0x99a47844567579cb + .quad 0x59d242a216e7fa45 + .quad 0xbc18dcad9b829eac + .quad 0x23ae7d28b5f579d0 + .quad 0xc346122a69384233 + .quad 0x1a6110b2e7d4ac89 + .quad 0x4f833f6ae66997ac + .quad 0x6849762a361839a4 + .quad 0x6985dec1970ab525 + .quad 0x53045e89dcb1f546 + + // 2^236 * 6 * G + + .quad 0xcb8bb346d75353db + .quad 0xfcfcb24bae511e22 + .quad 0xcba48d40d50ae6ef + .quad 0x26e3bae5f4f7cb5d + .quad 0x84da3cde8d45fe12 + .quad 0xbd42c218e444e2d2 + .quad 0xa85196781f7e3598 + .quad 0x7642c93f5616e2b2 + .quad 0x2323daa74595f8e4 + .quad 0xde688c8b857abeb4 + .quad 0x3fc48e961c59326e + .quad 0x0b2e73ca15c9b8ba + + // 2^236 * 7 * G + + .quad 0xd6bb4428c17f5026 + .quad 0x9eb27223fb5a9ca7 + .quad 0xe37ba5031919c644 + .quad 0x21ce380db59a6602 + .quad 0x0e3fbfaf79c03a55 + .quad 0x3077af054cbb5acf + .quad 0xd5c55245db3de39f + .quad 0x015e68c1476a4af7 + .quad 0xc1d5285220066a38 + .quad 0x95603e523570aef3 + .quad 0x832659a7226b8a4d + .quad 0x5dd689091f8eedc9 + + // 2^236 * 8 * G + + .quad 0xcbac84debfd3c856 + .quad 0x1624c348b35ff244 + .quad 0xb7f88dca5d9cad07 + .quad 0x3b0e574da2c2ebe8 + .quad 0x1d022591a5313084 + .quad 0xca2d4aaed6270872 + .quad 0x86a12b852f0bfd20 + .quad 0x56e6c439ad7da748 + .quad 0xc704ff4942bdbae6 + .quad 0x5e21ade2b2de1f79 + .quad 0xe95db3f35652fad8 + .quad 0x0822b5378f08ebc1 + + // 2^240 * 1 * G + + .quad 0x51f048478f387475 + .quad 0xb25dbcf49cbecb3c + .quad 0x9aab1244d99f2055 + .quad 0x2c709e6c1c10a5d6 + .quad 0xe1b7f29362730383 + .quad 0x4b5279ffebca8a2c + .quad 0xdafc778abfd41314 + .quad 0x7deb10149c72610f + .quad 0xcb62af6a8766ee7a + .quad 0x66cbec045553cd0e + .quad 0x588001380f0be4b5 + .quad 0x08e68e9ff62ce2ea + + // 2^240 * 2 * G + + .quad 0x34ad500a4bc130ad + .quad 0x8d38db493d0bd49c + .quad 0xa25c3d98500a89be + .quad 0x2f1f3f87eeba3b09 + .quad 0x2f2d09d50ab8f2f9 + .quad 0xacb9218dc55923df + .quad 0x4a8f342673766cb9 + .quad 0x4cb13bd738f719f5 + .quad 0xf7848c75e515b64a + .quad 0xa59501badb4a9038 + .quad 0xc20d313f3f751b50 + .quad 0x19a1e353c0ae2ee8 + + // 2^240 * 3 * G + + .quad 0x7d1c7560bafa05c3 + .quad 0xb3e1a0a0c6e55e61 + .quad 0xe3529718c0d66473 + .quad 0x41546b11c20c3486 + .quad 0xb42172cdd596bdbd + .quad 0x93e0454398eefc40 + .quad 0x9fb15347b44109b5 + .quad 0x736bd3990266ae34 + .quad 0x85532d509334b3b4 + .quad 0x46fd114b60816573 + .quad 0xcc5f5f30425c8375 + .quad 0x412295a2b87fab5c + + // 2^240 * 4 * G + + .quad 0x19c99b88f57ed6e9 + .quad 0x5393cb266df8c825 + .quad 0x5cee3213b30ad273 + .quad 0x14e153ebb52d2e34 + .quad 0x2e655261e293eac6 + .quad 0x845a92032133acdb + .quad 0x460975cb7900996b + .quad 0x0760bb8d195add80 + .quad 0x413e1a17cde6818a + .quad 0x57156da9ed69a084 + .quad 0x2cbf268f46caccb1 + .quad 0x6b34be9bc33ac5f2 + + // 2^240 * 5 * G + + .quad 0xf3df2f643a78c0b2 + .quad 0x4c3e971ef22e027c + .quad 0xec7d1c5e49c1b5a3 + .quad 0x2012c18f0922dd2d + .quad 0x11fc69656571f2d3 + .quad 0xc6c9e845530e737a + .quad 0xe33ae7a2d4fe5035 + .quad 0x01b9c7b62e6dd30b + .quad 0x880b55e55ac89d29 + .quad 0x1483241f45a0a763 + .quad 0x3d36efdfc2e76c1f + .quad 0x08af5b784e4bade8 + + // 2^240 * 6 * G + + .quad 0x283499dc881f2533 + .quad 0x9d0525da779323b6 + .quad 0x897addfb673441f4 + .quad 0x32b79d71163a168d + .quad 0xe27314d289cc2c4b + .quad 0x4be4bd11a287178d + .quad 0x18d528d6fa3364ce + .quad 0x6423c1d5afd9826e + .quad 0xcc85f8d9edfcb36a + .quad 0x22bcc28f3746e5f9 + .quad 0xe49de338f9e5d3cd + .quad 0x480a5efbc13e2dcc + + // 2^240 * 7 * G + + .quad 0x0b51e70b01622071 + .quad 0x06b505cf8b1dafc5 + .quad 0x2c6bb061ef5aabcd + .quad 0x47aa27600cb7bf31 + .quad 0xb6614ce442ce221f + .quad 0x6e199dcc4c053928 + .quad 0x663fb4a4dc1cbe03 + .quad 0x24b31d47691c8e06 + .quad 0x2a541eedc015f8c3 + .quad 0x11a4fe7e7c693f7c + .quad 0xf0af66134ea278d6 + .quad 0x545b585d14dda094 + + // 2^240 * 8 * G + + .quad 0x67bf275ea0d43a0f + .quad 0xade68e34089beebe + .quad 0x4289134cd479e72e + .quad 0x0f62f9c332ba5454 + .quad 0x6204e4d0e3b321e1 + .quad 0x3baa637a28ff1e95 + .quad 0x0b0ccffd5b99bd9e + .quad 0x4d22dc3e64c8d071 + .quad 0xfcb46589d63b5f39 + .quad 0x5cae6a3f57cbcf61 + .quad 0xfebac2d2953afa05 + .quad 0x1c0fa01a36371436 + + // 2^244 * 1 * G + + .quad 0xe7547449bc7cd692 + .quad 0x0f9abeaae6f73ddf + .quad 0x4af01ca700837e29 + .quad 0x63ab1b5d3f1bc183 + .quad 0xc11ee5e854c53fae + .quad 0x6a0b06c12b4f3ff4 + .quad 0x33540f80e0b67a72 + .quad 0x15f18fc3cd07e3ef + .quad 0x32750763b028f48c + .quad 0x06020740556a065f + .quad 0xd53bd812c3495b58 + .quad 0x08706c9b865f508d + + // 2^244 * 2 * G + + .quad 0xf37ca2ab3d343dff + .quad 0x1a8c6a2d80abc617 + .quad 0x8e49e035d4ccffca + .quad 0x48b46beebaa1d1b9 + .quad 0xcc991b4138b41246 + .quad 0x243b9c526f9ac26b + .quad 0xb9ef494db7cbabbd + .quad 0x5fba433dd082ed00 + .quad 0x9c49e355c9941ad0 + .quad 0xb9734ade74498f84 + .quad 0x41c3fed066663e5c + .quad 0x0ecfedf8e8e710b3 + + // 2^244 * 3 * G + + .quad 0x76430f9f9cd470d9 + .quad 0xb62acc9ba42f6008 + .quad 0x1898297c59adad5e + .quad 0x7789dd2db78c5080 + .quad 0x744f7463e9403762 + .quad 0xf79a8dee8dfcc9c9 + .quad 0x163a649655e4cde3 + .quad 0x3b61788db284f435 + .quad 0xb22228190d6ef6b2 + .quad 0xa94a66b246ce4bfa + .quad 0x46c1a77a4f0b6cc7 + .quad 0x4236ccffeb7338cf + + // 2^244 * 4 * G + + .quad 0x8497404d0d55e274 + .quad 0x6c6663d9c4ad2b53 + .quad 0xec2fb0d9ada95734 + .quad 0x2617e120cdb8f73c + .quad 0x3bd82dbfda777df6 + .quad 0x71b177cc0b98369e + .quad 0x1d0e8463850c3699 + .quad 0x5a71945b48e2d1f1 + .quad 0x6f203dd5405b4b42 + .quad 0x327ec60410b24509 + .quad 0x9c347230ac2a8846 + .quad 0x77de29fc11ffeb6a + + // 2^244 * 5 * G + + .quad 0xb0ac57c983b778a8 + .quad 0x53cdcca9d7fe912c + .quad 0x61c2b854ff1f59dc + .quad 0x3a1a2cf0f0de7dac + .quad 0x835e138fecced2ca + .quad 0x8c9eaf13ea963b9a + .quad 0xc95fbfc0b2160ea6 + .quad 0x575e66f3ad877892 + .quad 0x99803a27c88fcb3a + .quad 0x345a6789275ec0b0 + .quad 0x459789d0ff6c2be5 + .quad 0x62f882651e70a8b2 + + // 2^244 * 6 * G + + .quad 0x085ae2c759ff1be4 + .quad 0x149145c93b0e40b7 + .quad 0xc467e7fa7ff27379 + .quad 0x4eeecf0ad5c73a95 + .quad 0x6d822986698a19e0 + .quad 0xdc9821e174d78a71 + .quad 0x41a85f31f6cb1f47 + .quad 0x352721c2bcda9c51 + .quad 0x48329952213fc985 + .quad 0x1087cf0d368a1746 + .quad 0x8e5261b166c15aa5 + .quad 0x2d5b2d842ed24c21 + + // 2^244 * 7 * G + + .quad 0x02cfebd9ebd3ded1 + .quad 0xd45b217739021974 + .quad 0x7576f813fe30a1b7 + .quad 0x5691b6f9a34ef6c2 + .quad 0x5eb7d13d196ac533 + .quad 0x377234ecdb80be2b + .quad 0xe144cffc7cf5ae24 + .quad 0x5226bcf9c441acec + .quad 0x79ee6c7223e5b547 + .quad 0x6f5f50768330d679 + .quad 0xed73e1e96d8adce9 + .quad 0x27c3da1e1d8ccc03 + + // 2^244 * 8 * G + + .quad 0x7eb9efb23fe24c74 + .quad 0x3e50f49f1651be01 + .quad 0x3ea732dc21858dea + .quad 0x17377bd75bb810f9 + .quad 0x28302e71630ef9f6 + .quad 0xc2d4a2032b64cee0 + .quad 0x090820304b6292be + .quad 0x5fca747aa82adf18 + .quad 0x232a03c35c258ea5 + .quad 0x86f23a2c6bcb0cf1 + .quad 0x3dad8d0d2e442166 + .quad 0x04a8933cab76862b + + // 2^248 * 1 * G + + .quad 0xd2c604b622943dff + .quad 0xbc8cbece44cfb3a0 + .quad 0x5d254ff397808678 + .quad 0x0fa3614f3b1ca6bf + .quad 0x69082b0e8c936a50 + .quad 0xf9c9a035c1dac5b6 + .quad 0x6fb73e54c4dfb634 + .quad 0x4005419b1d2bc140 + .quad 0xa003febdb9be82f0 + .quad 0x2089c1af3a44ac90 + .quad 0xf8499f911954fa8e + .quad 0x1fba218aef40ab42 + + // 2^248 * 2 * G + + .quad 0xab549448fac8f53e + .quad 0x81f6e89a7ba63741 + .quad 0x74fd6c7d6c2b5e01 + .quad 0x392e3acaa8c86e42 + .quad 0x4f3e57043e7b0194 + .quad 0xa81d3eee08daaf7f + .quad 0xc839c6ab99dcdef1 + .quad 0x6c535d13ff7761d5 + .quad 0x4cbd34e93e8a35af + .quad 0x2e0781445887e816 + .quad 0x19319c76f29ab0ab + .quad 0x25e17fe4d50ac13b + + // 2^248 * 3 * G + + .quad 0x0a289bd71e04f676 + .quad 0x208e1c52d6420f95 + .quad 0x5186d8b034691fab + .quad 0x255751442a9fb351 + .quad 0x915f7ff576f121a7 + .quad 0xc34a32272fcd87e3 + .quad 0xccba2fde4d1be526 + .quad 0x6bba828f8969899b + .quad 0xe2d1bc6690fe3901 + .quad 0x4cb54a18a0997ad5 + .quad 0x971d6914af8460d4 + .quad 0x559d504f7f6b7be4 + + // 2^248 * 4 * G + + .quad 0xa7738378b3eb54d5 + .quad 0x1d69d366a5553c7c + .quad 0x0a26cf62f92800ba + .quad 0x01ab12d5807e3217 + .quad 0x9c4891e7f6d266fd + .quad 0x0744a19b0307781b + .quad 0x88388f1d6061e23b + .quad 0x123ea6a3354bd50e + .quad 0x118d189041e32d96 + .quad 0xb9ede3c2d8315848 + .quad 0x1eab4271d83245d9 + .quad 0x4a3961e2c918a154 + + // 2^248 * 5 * G + + .quad 0x71dc3be0f8e6bba0 + .quad 0xd6cef8347effe30a + .quad 0xa992425fe13a476a + .quad 0x2cd6bce3fb1db763 + .quad 0x0327d644f3233f1e + .quad 0x499a260e34fcf016 + .quad 0x83b5a716f2dab979 + .quad 0x68aceead9bd4111f + .quad 0x38b4c90ef3d7c210 + .quad 0x308e6e24b7ad040c + .quad 0x3860d9f1b7e73e23 + .quad 0x595760d5b508f597 + + // 2^248 * 6 * G + + .quad 0x6129bfe104aa6397 + .quad 0x8f960008a4a7fccb + .quad 0x3f8bc0897d909458 + .quad 0x709fa43edcb291a9 + .quad 0x882acbebfd022790 + .quad 0x89af3305c4115760 + .quad 0x65f492e37d3473f4 + .quad 0x2cb2c5df54515a2b + .quad 0xeb0a5d8c63fd2aca + .quad 0xd22bc1662e694eff + .quad 0x2723f36ef8cbb03a + .quad 0x70f029ecf0c8131f + + // 2^248 * 7 * G + + .quad 0x461307b32eed3e33 + .quad 0xae042f33a45581e7 + .quad 0xc94449d3195f0366 + .quad 0x0b7d5d8a6c314858 + .quad 0x2a6aafaa5e10b0b9 + .quad 0x78f0a370ef041aa9 + .quad 0x773efb77aa3ad61f + .quad 0x44eca5a2a74bd9e1 + .quad 0x25d448327b95d543 + .quad 0x70d38300a3340f1d + .quad 0xde1c531c60e1c52b + .quad 0x272224512c7de9e4 + + // 2^248 * 8 * G + + .quad 0x1abc92af49c5342e + .quad 0xffeed811b2e6fad0 + .quad 0xefa28c8dfcc84e29 + .quad 0x11b5df18a44cc543 + .quad 0xbf7bbb8a42a975fc + .quad 0x8c5c397796ada358 + .quad 0xe27fc76fcdedaa48 + .quad 0x19735fd7f6bc20a6 + .quad 0xe3ab90d042c84266 + .quad 0xeb848e0f7f19547e + .quad 0x2503a1d065a497b9 + .quad 0x0fef911191df895f diff --git a/cbits/s2n/x86_att/p256_montjadd.S b/cbits/s2n/x86_att/p256_montjadd.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/p256_montjadd.S @@ -0,0 +1,593 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Point addition on NIST curve P-256 in Montgomery-Jacobian coordinates +// +// extern void p256_montjadd(uint64_t p3[static 12], const uint64_t p1[static 12], +// const uint64_t p2[static 12]); +// +// Does p3 := p1 + p2 where all points are regarded as Jacobian triples with +// each coordinate in the Montgomery domain, i.e. x' = (2^256 * x) mod p_256. +// A Jacobian triple (x',y',z') represents affine point (x/z^2,y/z^3). +// +// Standard x86-64 ABI: RDI = p3, RSI = p1, RDX = p2 +// Microsoft x64 ABI: RCX = p3, RDX = p1, R8 = p2 +// ---------------------------------------------------------------------------- +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p256_montjadd) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p256_montjadd) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p256_montjadd) + .text + +// Size of individual field elements + +#define NUMSIZE 32 + +// Pointer-offset pairs for inputs and outputs +// These assume %rdi = p3, %rsi = p1 and %rbp = p2, +// which needs to be set up explicitly before use. +// The first two hold initially, and the second is +// set up by copying the initial %rdx input to %rbp. +// Thereafter, no code macro modifies any of them. + +#define x_1 0(%rsi) +#define y_1 NUMSIZE(%rsi) +#define z_1 (2*NUMSIZE)(%rsi) + +#define x_2 0(%rbp) +#define y_2 NUMSIZE(%rbp) +#define z_2 (2*NUMSIZE)(%rbp) + +#define x_3 0(%rdi) +#define y_3 NUMSIZE(%rdi) +#define z_3 (2*NUMSIZE)(%rdi) + +// Pointer-offset pairs for temporaries, with some aliasing +// NSPACE is the total stack needed for these temporaries + +#define z1sq (NUMSIZE*0)(%rsp) +#define ww (NUMSIZE*0)(%rsp) +#define resx (NUMSIZE*0)(%rsp) + +#define yd (NUMSIZE*1)(%rsp) +#define y2a (NUMSIZE*1)(%rsp) + +#define x2a (NUMSIZE*2)(%rsp) +#define zzx2 (NUMSIZE*2)(%rsp) + +#define zz (NUMSIZE*3)(%rsp) +#define t1 (NUMSIZE*3)(%rsp) + +#define t2 (NUMSIZE*4)(%rsp) +#define x1a (NUMSIZE*4)(%rsp) +#define zzx1 (NUMSIZE*4)(%rsp) +#define resy (NUMSIZE*4)(%rsp) + +#define xd (NUMSIZE*5)(%rsp) +#define z2sq (NUMSIZE*5)(%rsp) +#define resz (NUMSIZE*5)(%rsp) + +#define y1a (NUMSIZE*6)(%rsp) + +#define NSPACE NUMSIZE*7 + +// Corresponds exactly to bignum_montmul_p256 + +#define montmul_p256(P0,P1,P2) \ + xorl %r13d, %r13d ; \ + movq P2, %rdx ; \ + mulxq P1, %r8, %r9 ; \ + mulxq 0x8+P1, %rbx, %r10 ; \ + adcq %rbx, %r9 ; \ + mulxq 0x10+P1, %rbx, %r11 ; \ + adcq %rbx, %r10 ; \ + mulxq 0x18+P1, %rbx, %r12 ; \ + adcq %rbx, %r11 ; \ + adcq %r13, %r12 ; \ + movq 0x8+P2, %rdx ; \ + xorl %r14d, %r14d ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x18+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + adcq %r14, %r13 ; \ + xorl %r15d, %r15d ; \ + movabsq $0x100000000, %rdx ; \ + mulxq %r8, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq %r9, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + notq %rdx; \ + leaq 0x2(%rdx), %rdx ; \ + mulxq %r8, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq %r9, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + adcxq %r15, %r13 ; \ + adoxq %r15, %r14 ; \ + adcq %r15, %r14 ; \ + movq 0x10+P2, %rdx ; \ + xorl %r8d, %r8d ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + adoxq %r8, %r14 ; \ + mulxq 0x18+P1, %rax, %rbx ; \ + adcq %rax, %r13 ; \ + adcq %rbx, %r14 ; \ + adcq %r8, %r15 ; \ + movq 0x18+P2, %rdx ; \ + xorl %r9d, %r9d ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r13 ; \ + adoxq %rbx, %r14 ; \ + adoxq %r9, %r15 ; \ + mulxq 0x18+P1, %rax, %rbx ; \ + adcq %rax, %r14 ; \ + adcq %rbx, %r15 ; \ + adcq %r9, %r8 ; \ + xorl %r9d, %r9d ; \ + movabsq $0x100000000, %rdx ; \ + mulxq %r10, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq %r11, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + notq %rdx; \ + leaq 0x2(%rdx), %rdx ; \ + mulxq %r10, %rax, %rbx ; \ + adcxq %rax, %r13 ; \ + adoxq %rbx, %r14 ; \ + mulxq %r11, %rax, %rbx ; \ + adcxq %rax, %r14 ; \ + adoxq %rbx, %r15 ; \ + adcxq %r9, %r15 ; \ + adoxq %r9, %r8 ; \ + adcq %r9, %r8 ; \ + movl $0x1, %ecx ; \ + addq %r12, %rcx ; \ + decq %rdx; \ + adcq %r13, %rdx ; \ + decq %r9; \ + movq %r9, %rax ; \ + adcq %r14, %r9 ; \ + movl $0xfffffffe, %r11d ; \ + adcq %r15, %r11 ; \ + adcq %r8, %rax ; \ + cmovbq %rcx, %r12 ; \ + cmovbq %rdx, %r13 ; \ + cmovbq %r9, %r14 ; \ + cmovbq %r11, %r15 ; \ + movq %r12, P0 ; \ + movq %r13, 0x8+P0 ; \ + movq %r14, 0x10+P0 ; \ + movq %r15, 0x18+P0 + +// Corresponds exactly to bignum_montsqr_p256 except for +// register tweaks to avoid modifying %rbp. + +#define montsqr_p256(P0,P1) \ + movq P1, %rdx ; \ + mulxq %rdx, %r8, %r15 ; \ + mulxq 0x8+P1, %r9, %r10 ; \ + mulxq 0x18+P1, %r11, %r12 ; \ + movq 0x10+P1, %rdx ; \ + mulxq 0x18+P1, %r13, %r14 ; \ + xorl %ecx, %ecx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + movq 0x18+P1, %rdx ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + adcxq %rcx, %r13 ; \ + adoxq %rcx, %r14 ; \ + adcq %rcx, %r14 ; \ + xorl %ecx, %ecx ; \ + adcxq %r9, %r9 ; \ + adoxq %r15, %r9 ; \ + movq 0x8+P1, %rdx ; \ + mulxq %rdx, %rax, %rdx ; \ + adcxq %r10, %r10 ; \ + adoxq %rax, %r10 ; \ + adcxq %r11, %r11 ; \ + adoxq %rdx, %r11 ; \ + movq 0x10+P1, %rdx ; \ + mulxq %rdx, %rax, %rdx ; \ + adcxq %r12, %r12 ; \ + adoxq %rax, %r12 ; \ + adcxq %r13, %r13 ; \ + adoxq %rdx, %r13 ; \ + movq 0x18+P1, %rdx ; \ + mulxq %rdx, %rax, %r15 ; \ + adcxq %r14, %r14 ; \ + adoxq %rax, %r14 ; \ + adcxq %rcx, %r15 ; \ + adoxq %rcx, %r15 ; \ + xorl %ecx, %ecx ; \ + movabsq $0x100000000, %rdx ; \ + mulxq %r8, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq %r9, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + movabsq $0xffffffff00000001, %rdx ; \ + mulxq %r8, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq %r9, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + adcxq %rcx, %r13 ; \ + movl %ecx, %r9d ; \ + adoxq %rcx, %r9 ; \ + adcxq %rcx, %r9 ; \ + addq %r9, %r14 ; \ + adcq %rcx, %r15 ; \ + movl %ecx, %r8d ; \ + adcq %rcx, %r8 ; \ + xorl %ecx, %ecx ; \ + movabsq $0x100000000, %rdx ; \ + mulxq %r10, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq %r11, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + movabsq $0xffffffff00000001, %rdx ; \ + mulxq %r10, %rax, %rbx ; \ + adcxq %rax, %r13 ; \ + adoxq %rbx, %r14 ; \ + mulxq %r11, %rax, %rbx ; \ + adcxq %rax, %r14 ; \ + adoxq %rbx, %r15 ; \ + adcxq %rcx, %r15 ; \ + adoxq %rcx, %r8 ; \ + adcq %rcx, %r8 ; \ + movl $0x1, %ebx ; \ + addq %r12, %rbx ; \ + leaq -0x1(%rdx), %rdx ; \ + adcq %r13, %rdx ; \ + leaq -0x1(%rcx), %rcx ; \ + movq %rcx, %rax ; \ + adcq %r14, %rcx ; \ + movl $0xfffffffe, %r11d ; \ + adcq %r15, %r11 ; \ + adcq %r8, %rax ; \ + cmovbq %rbx, %r12 ; \ + cmovbq %rdx, %r13 ; \ + cmovbq %rcx, %r14 ; \ + cmovbq %r11, %r15 ; \ + movq %r12, P0 ; \ + movq %r13, 0x8+P0 ; \ + movq %r14, 0x10+P0 ; \ + movq %r15, 0x18+P0 + +// Almost-Montgomery variant which we use when an input to other muls +// with the other argument fully reduced (which is always safe). +// Again, the basic squaring code is tweaked to avoid modifying %rbp. + +#define amontsqr_p256(P0,P1) \ + movq P1, %rdx ; \ + mulxq %rdx, %r8, %r15 ; \ + mulxq 0x8+P1, %r9, %r10 ; \ + mulxq 0x18+P1, %r11, %r12 ; \ + movq 0x10+P1, %rdx ; \ + mulxq 0x18+P1, %r13, %r14 ; \ + xorl %ecx, %ecx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + movq 0x18+P1, %rdx ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + adcxq %rcx, %r13 ; \ + adoxq %rcx, %r14 ; \ + adcq %rcx, %r14 ; \ + xorl %ecx, %ecx ; \ + adcxq %r9, %r9 ; \ + adoxq %r15, %r9 ; \ + movq 0x8+P1, %rdx ; \ + mulxq %rdx, %rax, %rdx ; \ + adcxq %r10, %r10 ; \ + adoxq %rax, %r10 ; \ + adcxq %r11, %r11 ; \ + adoxq %rdx, %r11 ; \ + movq 0x10+P1, %rdx ; \ + mulxq %rdx, %rax, %rdx ; \ + adcxq %r12, %r12 ; \ + adoxq %rax, %r12 ; \ + adcxq %r13, %r13 ; \ + adoxq %rdx, %r13 ; \ + movq 0x18+P1, %rdx ; \ + mulxq %rdx, %rax, %r15 ; \ + adcxq %r14, %r14 ; \ + adoxq %rax, %r14 ; \ + adcxq %rcx, %r15 ; \ + adoxq %rcx, %r15 ; \ + xorl %ecx, %ecx ; \ + movabsq $0x100000000, %rdx ; \ + mulxq %r8, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq %r9, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + movabsq $0xffffffff00000001, %rdx ; \ + mulxq %r8, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq %r9, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + adcxq %rcx, %r13 ; \ + movl %ecx, %r9d ; \ + adoxq %rcx, %r9 ; \ + adcxq %rcx, %r9 ; \ + addq %r9, %r14 ; \ + adcq %rcx, %r15 ; \ + movl %ecx, %r8d ; \ + adcq %rcx, %r8 ; \ + xorl %ecx, %ecx ; \ + movabsq $0x100000000, %rdx ; \ + mulxq %r10, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq %r11, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + movabsq $0xffffffff00000001, %rdx ; \ + mulxq %r10, %rax, %rbx ; \ + adcxq %rax, %r13 ; \ + adoxq %rbx, %r14 ; \ + mulxq %r11, %rax, %rbx ; \ + adcxq %rax, %r14 ; \ + adoxq %rbx, %r15 ; \ + adcxq %rcx, %r15 ; \ + adoxq %rcx, %r8 ; \ + adcq %rcx, %r8 ; \ + movl $0x1, %r8d ; \ + leaq -0x1(%rdx), %rdx ; \ + leaq -0x1(%rcx), %rax ; \ + movl $0xfffffffe, %r11d ; \ + cmovzq %rcx, %r8 ; \ + cmovzq %rcx, %rdx ; \ + cmovzq %rcx, %rax ; \ + cmovzq %rcx, %r11 ; \ + addq %r8, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq %rax, %r14 ; \ + adcq %r11, %r15 ; \ + movq %r12, P0 ; \ + movq %r13, 0x8+P0 ; \ + movq %r14, 0x10+P0 ; \ + movq %r15, 0x18+P0 + +// Corresponds exactly to bignum_sub_p256 + +#define sub_p256(P0,P1,P2) \ + movq P1, %rax ; \ + subq P2, %rax ; \ + movq 0x8+P1, %rcx ; \ + sbbq 0x8+P2, %rcx ; \ + movq 0x10+P1, %r8 ; \ + sbbq 0x10+P2, %r8 ; \ + movq 0x18+P1, %r9 ; \ + sbbq 0x18+P2, %r9 ; \ + movl $0xffffffff, %r10d ; \ + sbbq %r11, %r11 ; \ + xorq %rdx, %rdx ; \ + andq %r11, %r10 ; \ + subq %r10, %rdx ; \ + addq %r11, %rax ; \ + movq %rax, P0 ; \ + adcq %r10, %rcx ; \ + movq %rcx, 0x8+P0 ; \ + adcq $0x0, %r8 ; \ + movq %r8, 0x10+P0 ; \ + adcq %rdx, %r9 ; \ + movq %r9, 0x18+P0 + +// Additional macros to help with final multiplexing + +#define load4(r0,r1,r2,r3,P) \ + movq P, r0 ; \ + movq 8+P, r1 ; \ + movq 16+P, r2 ; \ + movq 24+P, r3 + +#define store4(P,r0,r1,r2,r3) \ + movq r0, P ; \ + movq r1, 8+P ; \ + movq r2, 16+P ; \ + movq r3, 24+P + +#define czload4(r0,r1,r2,r3,P) \ + cmovzq P, r0 ; \ + cmovzq 8+P, r1 ; \ + cmovzq 16+P, r2 ; \ + cmovzq 24+P, r3 + +#define muxload4(r0,r1,r2,r3,P0,P1,P2) \ + movq P0, r0 ; \ + cmovbq P1, r0 ; \ + cmovnbe P2, r0 ; \ + movq 8+P0, r1 ; \ + cmovbq 8+P1, r1 ; \ + cmovnbe 8+P2, r1 ; \ + movq 16+P0, r2 ; \ + cmovbq 16+P1, r2 ; \ + cmovnbe 16+P2, r2 ; \ + movq 24+P0, r3 ; \ + cmovbq 24+P1, r3 ; \ + cmovnbe 24+P2, r3 + +S2N_BN_SYMBOL(p256_montjadd): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx +#endif + +// Save registers and make room on stack for temporary variables +// Put the input y in %rbp where it lasts as long as it's needed. + + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + + CFI_DEC_RSP(NSPACE) + + movq %rdx, %rbp + +// Main code, just a sequence of basic field operations +// 12 * multiply + 4 * square + 7 * subtract + + amontsqr_p256(z1sq,z_1) + amontsqr_p256(z2sq,z_2) + + montmul_p256(y1a,z_2,y_1) + montmul_p256(y2a,z_1,y_2) + + montmul_p256(x2a,z1sq,x_2) + montmul_p256(x1a,z2sq,x_1) + montmul_p256(y2a,z1sq,y2a) + montmul_p256(y1a,z2sq,y1a) + + sub_p256(xd,x2a,x1a) + sub_p256(yd,y2a,y1a) + + amontsqr_p256(zz,xd) + montsqr_p256(ww,yd) + + montmul_p256(zzx1,zz,x1a) + montmul_p256(zzx2,zz,x2a) + + sub_p256(resx,ww,zzx1) + sub_p256(t1,zzx2,zzx1) + + montmul_p256(xd,xd,z_1) + + sub_p256(resx,resx,zzx2) + + sub_p256(t2,zzx1,resx) + + montmul_p256(t1,t1,y1a) + + montmul_p256(resz,xd,z_2) + montmul_p256(t2,yd,t2) + + sub_p256(resy,t2,t1) + +// Load in the z coordinates of the inputs to check for P1 = 0 and P2 = 0 +// The condition codes get set by a comparison (P2 != 0) - (P1 != 0) +// So "NBE" <=> ~(CF \/ ZF) <=> P1 = 0 /\ ~(P2 = 0) +// and "B" <=> CF <=> ~(P1 = 0) /\ P2 = 0 +// and "Z" <=> ZF <=> (P1 = 0 <=> P2 = 0) + + load4(%r8,%r9,%r10,%r11,z_1) + + movq %r8, %rax + movq %r9, %rdx + orq %r10, %rax + orq %r11, %rdx + orq %rdx, %rax + negq %rax + sbbq %rax, %rax + + load4(%r12,%r13,%r14,%r15,z_2) + + movq %r12, %rbx + movq %r13, %rdx + orq %r14, %rbx + orq %r15, %rdx + orq %rdx, %rbx + negq %rbx + sbbq %rbx, %rbx + + cmpq %rax, %rbx + +// Multiplex the outputs accordingly, re-using the z's in registers + + cmovbq %r8, %r12 + cmovbq %r9, %r13 + cmovbq %r10, %r14 + cmovbq %r11, %r15 + + czload4(%r12,%r13,%r14,%r15,resz) + + muxload4(%rax,%rbx,%rcx,%rdx,resx,x_1,x_2) + muxload4(%r8,%r9,%r10,%r11,resy,y_1,y_2) + +// Finally store back the multiplexed values + + store4(x_3,%rax,%rbx,%rcx,%rdx) + store4(y_3,%r8,%r9,%r10,%r11) + store4(z_3,%r12,%r13,%r14,%r15) + +// Restore stack and registers + + CFI_INC_RSP(NSPACE) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p256_montjadd) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/x86_att/p256_montjadd_alt.S b/cbits/s2n/x86_att/p256_montjadd_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/p256_montjadd_alt.S @@ -0,0 +1,579 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Point addition on NIST curve P-256 in Montgomery-Jacobian coordinates +// +// extern void p256_montjadd_alt(uint64_t p3[static 12], +// const uint64_t p1[static 12], +// const uint64_t p2[static 12]); +// +// Does p3 := p1 + p2 where all points are regarded as Jacobian triples with +// each coordinate in the Montgomery domain, i.e. x' = (2^256 * x) mod p_256. +// A Jacobian triple (x',y',z') represents affine point (x/z^2,y/z^3). +// +// Standard x86-64 ABI: RDI = p3, RSI = p1, RDX = p2 +// Microsoft x64 ABI: RCX = p3, RDX = p1, R8 = p2 +// ---------------------------------------------------------------------------- +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p256_montjadd_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p256_montjadd_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p256_montjadd_alt) + .text + +// Size of individual field elements + +#define NUMSIZE 32 + +// Pointer-offset pairs for inputs and outputs +// These assume %rdi = p3, %rsi = p1 and %rbp = p2, +// which needs to be set up explicitly before use. +// The first two hold initially, and the second is +// set up by copying the initial %rdx input to %rbp. +// Thereafter, no code macro modifies any of them. + +#define x_1 0(%rsi) +#define y_1 NUMSIZE(%rsi) +#define z_1 (2*NUMSIZE)(%rsi) + +#define x_2 0(%rbp) +#define y_2 NUMSIZE(%rbp) +#define z_2 (2*NUMSIZE)(%rbp) + +#define x_3 0(%rdi) +#define y_3 NUMSIZE(%rdi) +#define z_3 (2*NUMSIZE)(%rdi) + +// Pointer-offset pairs for temporaries, with some aliasing +// NSPACE is the total stack needed for these temporaries + +#define z1sq (NUMSIZE*0)(%rsp) +#define ww (NUMSIZE*0)(%rsp) +#define resx (NUMSIZE*0)(%rsp) + +#define yd (NUMSIZE*1)(%rsp) +#define y2a (NUMSIZE*1)(%rsp) + +#define x2a (NUMSIZE*2)(%rsp) +#define zzx2 (NUMSIZE*2)(%rsp) + +#define zz (NUMSIZE*3)(%rsp) +#define t1 (NUMSIZE*3)(%rsp) + +#define t2 (NUMSIZE*4)(%rsp) +#define x1a (NUMSIZE*4)(%rsp) +#define zzx1 (NUMSIZE*4)(%rsp) +#define resy (NUMSIZE*4)(%rsp) + +#define xd (NUMSIZE*5)(%rsp) +#define z2sq (NUMSIZE*5)(%rsp) +#define resz (NUMSIZE*5)(%rsp) + +#define y1a (NUMSIZE*6)(%rsp) + +#define NSPACE NUMSIZE*7 + +// Corresponds exactly to bignum_montmul_p256_alt + +#define montmul_p256(P0,P1,P2) \ + movq P2, %rbx ; \ + movq P1, %rax ; \ + mulq %rbx; \ + movq %rax, %r8 ; \ + movq %rdx, %r9 ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + xorl %r10d, %r10d ; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + movq 0x10+P1, %rax ; \ + mulq %rbx; \ + xorl %r11d, %r11d ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + movq 0x18+P1, %rax ; \ + mulq %rbx; \ + xorl %r12d, %r12d ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + movq 0x8+P2, %rbx ; \ + xorl %r13d, %r13d ; \ + movq P1, %rax ; \ + mulq %rbx; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + sbbq %r14, %r14 ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + subq %r14, %rdx ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %r14, %r14 ; \ + movq 0x10+P1, %rax ; \ + mulq %rbx; \ + subq %r14, %rdx ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %r14, %r14 ; \ + movq 0x18+P1, %rax ; \ + mulq %rbx; \ + subq %r14, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + xorl %r14d, %r14d ; \ + movq $0x100000000, %rbx ; \ + movq %r8, %rax ; \ + mulq %rbx; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + sbbq %r15, %r15 ; \ + movq %r9, %rax ; \ + mulq %rbx; \ + subq %r15, %rdx ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %r15, %r15 ; \ + notq %rbx; \ + leaq 0x2(%rbx), %rbx ; \ + movq %r8, %rax ; \ + mulq %rbx; \ + subq %r15, %rdx ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %r15, %r15 ; \ + movq %r9, %rax ; \ + mulq %rbx; \ + subq %r15, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq %r14, %r14 ; \ + movq 0x10+P2, %rbx ; \ + xorl %r15d, %r15d ; \ + movq P1, %rax ; \ + mulq %rbx; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %r8, %r8 ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + subq %r8, %rdx ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %r8, %r8 ; \ + movq 0x10+P1, %rax ; \ + mulq %rbx; \ + subq %r8, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + sbbq %r8, %r8 ; \ + movq 0x18+P1, %rax ; \ + mulq %rbx; \ + subq %r8, %rdx ; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + adcq %r15, %r15 ; \ + movq 0x18+P2, %rbx ; \ + xorl %r8d, %r8d ; \ + movq P1, %rax ; \ + mulq %rbx; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %r9, %r9 ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + subq %r9, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + sbbq %r9, %r9 ; \ + movq 0x10+P1, %rax ; \ + mulq %rbx; \ + subq %r9, %rdx ; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + sbbq %r9, %r9 ; \ + movq 0x18+P1, %rax ; \ + mulq %rbx; \ + subq %r9, %rdx ; \ + addq %rax, %r14 ; \ + adcq %rdx, %r15 ; \ + adcq %r8, %r8 ; \ + xorl %r9d, %r9d ; \ + movq $0x100000000, %rbx ; \ + movq %r10, %rax ; \ + mulq %rbx; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %rcx, %rcx ; \ + movq %r11, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + sbbq %rcx, %rcx ; \ + notq %rbx; \ + leaq 0x2(%rbx), %rbx ; \ + movq %r10, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + sbbq %rcx, %rcx ; \ + movq %r11, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r14 ; \ + adcq %rdx, %r15 ; \ + adcq %r9, %r8 ; \ + movl $0x1, %ecx ; \ + addq %r12, %rcx ; \ + decq %rbx; \ + adcq %r13, %rbx ; \ + decq %r9; \ + movq %r9, %rax ; \ + adcq %r14, %r9 ; \ + movl $0xfffffffe, %r11d ; \ + adcq %r15, %r11 ; \ + adcq %r8, %rax ; \ + cmovbq %rcx, %r12 ; \ + cmovbq %rbx, %r13 ; \ + cmovbq %r9, %r14 ; \ + cmovbq %r11, %r15 ; \ + movq %r12, P0 ; \ + movq %r13, 0x8+P0 ; \ + movq %r14, 0x10+P0 ; \ + movq %r15, 0x18+P0 + +// Corresponds exactly to bignum_montsqr_p256_alt + +#define montsqr_p256(P0,P1) \ + movq P1, %rax ; \ + movq %rax, %rbx ; \ + mulq %rax; \ + movq %rax, %r8 ; \ + movq %rdx, %r15 ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + movq %rax, %r9 ; \ + movq %rdx, %r10 ; \ + movq 0x18+P1, %rax ; \ + movq %rax, %r13 ; \ + mulq %rbx; \ + movq %rax, %r11 ; \ + movq %rdx, %r12 ; \ + movq 0x10+P1, %rax ; \ + movq %rax, %rbx ; \ + mulq %r13; \ + movq %rax, %r13 ; \ + movq %rdx, %r14 ; \ + movq P1, %rax ; \ + mulq %rbx; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %rcx, %rcx ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %rcx, %rcx ; \ + movq 0x18+P1, %rbx ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq $0x0, %r14 ; \ + xorl %ecx, %ecx ; \ + addq %r9, %r9 ; \ + adcq %r10, %r10 ; \ + adcq %r11, %r11 ; \ + adcq %r12, %r12 ; \ + adcq %r13, %r13 ; \ + adcq %r14, %r14 ; \ + adcq %rcx, %rcx ; \ + movq 0x8+P1, %rax ; \ + mulq %rax; \ + addq %r15, %r9 ; \ + adcq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %r15, %r15 ; \ + movq 0x10+P1, %rax ; \ + mulq %rax; \ + negq %r15; \ + adcq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + sbbq %r15, %r15 ; \ + movq 0x18+P1, %rax ; \ + mulq %rax; \ + negq %r15; \ + adcq %rax, %r14 ; \ + adcq %rcx, %rdx ; \ + movq %rdx, %r15 ; \ + movq $0x100000000, %rbx ; \ + movq %r8, %rax ; \ + mulq %rbx; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + sbbq %rcx, %rcx ; \ + movq %r9, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %rcx, %rcx ; \ + notq %rbx; \ + leaq 0x2(%rbx), %rbx ; \ + movq %r8, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %rcx, %rcx ; \ + xorl %r8d, %r8d ; \ + movq %r9, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq %r8, %r14 ; \ + adcq %r8, %r15 ; \ + adcq %r8, %r8 ; \ + movq $0x100000000, %rbx ; \ + movq %r10, %rax ; \ + mulq %rbx; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %rcx, %rcx ; \ + movq %r11, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + sbbq %rcx, %rcx ; \ + notq %rbx; \ + leaq 0x2(%rbx), %rbx ; \ + movq %r10, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + sbbq %rcx, %rcx ; \ + xorl %r9d, %r9d ; \ + movq %r11, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r14 ; \ + adcq %rdx, %r15 ; \ + adcq %r9, %r8 ; \ + movl $0x1, %ecx ; \ + addq %r12, %rcx ; \ + leaq -0x1(%rbx), %rbx ; \ + adcq %r13, %rbx ; \ + leaq -0x1(%r9), %r9 ; \ + movq %r9, %rax ; \ + adcq %r14, %r9 ; \ + movl $0xfffffffe, %r11d ; \ + adcq %r15, %r11 ; \ + adcq %r8, %rax ; \ + cmovbq %rcx, %r12 ; \ + cmovbq %rbx, %r13 ; \ + cmovbq %r9, %r14 ; \ + cmovbq %r11, %r15 ; \ + movq %r12, P0 ; \ + movq %r13, 0x8+P0 ; \ + movq %r14, 0x10+P0 ; \ + movq %r15, 0x18+P0 + +// Corresponds exactly to bignum_sub_p256 + +#define sub_p256(P0,P1,P2) \ + movq P1, %rax ; \ + subq P2, %rax ; \ + movq 0x8+P1, %rcx ; \ + sbbq 0x8+P2, %rcx ; \ + movq 0x10+P1, %r8 ; \ + sbbq 0x10+P2, %r8 ; \ + movq 0x18+P1, %r9 ; \ + sbbq 0x18+P2, %r9 ; \ + movl $0xffffffff, %r10d ; \ + sbbq %r11, %r11 ; \ + xorq %rdx, %rdx ; \ + andq %r11, %r10 ; \ + subq %r10, %rdx ; \ + addq %r11, %rax ; \ + movq %rax, P0 ; \ + adcq %r10, %rcx ; \ + movq %rcx, 0x8+P0 ; \ + adcq $0x0, %r8 ; \ + movq %r8, 0x10+P0 ; \ + adcq %rdx, %r9 ; \ + movq %r9, 0x18+P0 + +// Additional macros to help with final multiplexing + +#define load4(r0,r1,r2,r3,P) \ + movq P, r0 ; \ + movq 8+P, r1 ; \ + movq 16+P, r2 ; \ + movq 24+P, r3 + +#define store4(P,r0,r1,r2,r3) \ + movq r0, P ; \ + movq r1, 8+P ; \ + movq r2, 16+P ; \ + movq r3, 24+P + +#define czload4(r0,r1,r2,r3,P) \ + cmovzq P, r0 ; \ + cmovzq 8+P, r1 ; \ + cmovzq 16+P, r2 ; \ + cmovzq 24+P, r3 + +#define muxload4(r0,r1,r2,r3,P0,P1,P2) \ + movq P0, r0 ; \ + cmovbq P1, r0 ; \ + cmovnbe P2, r0 ; \ + movq 8+P0, r1 ; \ + cmovbq 8+P1, r1 ; \ + cmovnbe 8+P2, r1 ; \ + movq 16+P0, r2 ; \ + cmovbq 16+P1, r2 ; \ + cmovnbe 16+P2, r2 ; \ + movq 24+P0, r3 ; \ + cmovbq 24+P1, r3 ; \ + cmovnbe 24+P2, r3 + +S2N_BN_SYMBOL(p256_montjadd_alt): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx +#endif + +// Save registers and make room on stack for temporary variables +// Put the input y in %rbp where it lasts as long as it's needed. + + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + + CFI_DEC_RSP(NSPACE) + + movq %rdx, %rbp + +// Main code, just a sequence of basic field operations +// 12 * multiply + 4 * square + 7 * subtract + + montsqr_p256(z1sq,z_1) + montsqr_p256(z2sq,z_2) + + montmul_p256(y1a,z_2,y_1) + montmul_p256(y2a,z_1,y_2) + + montmul_p256(x2a,z1sq,x_2) + montmul_p256(x1a,z2sq,x_1) + montmul_p256(y2a,z1sq,y2a) + montmul_p256(y1a,z2sq,y1a) + + sub_p256(xd,x2a,x1a) + sub_p256(yd,y2a,y1a) + + montsqr_p256(zz,xd) + montsqr_p256(ww,yd) + + montmul_p256(zzx1,zz,x1a) + montmul_p256(zzx2,zz,x2a) + + sub_p256(resx,ww,zzx1) + sub_p256(t1,zzx2,zzx1) + + montmul_p256(xd,xd,z_1) + + sub_p256(resx,resx,zzx2) + + sub_p256(t2,zzx1,resx) + + montmul_p256(t1,t1,y1a) + + montmul_p256(resz,xd,z_2) + montmul_p256(t2,yd,t2) + + sub_p256(resy,t2,t1) + +// Load in the z coordinates of the inputs to check for P1 = 0 and P2 = 0 +// The condition codes get set by a comparison (P2 != 0) - (P1 != 0) +// So "NBE" <=> ~(CF \/ ZF) <=> P1 = 0 /\ ~(P2 = 0) +// and "B" <=> CF <=> ~(P1 = 0) /\ P2 = 0 +// and "Z" <=> ZF <=> (P1 = 0 <=> P2 = 0) + + load4(%r8,%r9,%r10,%r11,z_1) + + movq %r8, %rax + movq %r9, %rdx + orq %r10, %rax + orq %r11, %rdx + orq %rdx, %rax + negq %rax + sbbq %rax, %rax + + load4(%r12,%r13,%r14,%r15,z_2) + + movq %r12, %rbx + movq %r13, %rdx + orq %r14, %rbx + orq %r15, %rdx + orq %rdx, %rbx + negq %rbx + sbbq %rbx, %rbx + + cmpq %rax, %rbx + +// Multiplex the outputs accordingly, re-using the z's in registers + + cmovbq %r8, %r12 + cmovbq %r9, %r13 + cmovbq %r10, %r14 + cmovbq %r11, %r15 + + czload4(%r12,%r13,%r14,%r15,resz) + + muxload4(%rax,%rbx,%rcx,%rdx,resx,x_1,x_2) + muxload4(%r8,%r9,%r10,%r11,resy,y_1,y_2) + +// Finally store back the multiplexed values + + store4(x_3,%rax,%rbx,%rcx,%rdx) + store4(y_3,%r8,%r9,%r10,%r11) + store4(z_3,%r12,%r13,%r14,%r15) + +// Restore stack and registers + + CFI_INC_RSP(NSPACE) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p256_montjadd_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/x86_att/p256_montjdouble.S b/cbits/s2n/x86_att/p256_montjdouble.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/p256_montjdouble.S @@ -0,0 +1,634 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Point doubling on NIST curve P-256 in Montgomery-Jacobian coordinates +// +// extern void p256_montjdouble(uint64_t p3[static 12], +// const uint64_t p1[static 12]); +// +// Does p3 := 2 * p1 where all points are regarded as Jacobian triples with +// each coordinate in the Montgomery domain, i.e. x' = (2^256 * x) mod p_256. +// A Jacobian triple (x',y',z') represents affine point (x/z^2,y/z^3). +// +// Standard x86-64 ABI: RDI = p3, RSI = p1 +// Microsoft x64 ABI: RCX = p3, RDX = p1 +// ---------------------------------------------------------------------------- +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p256_montjdouble) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p256_montjdouble) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p256_montjdouble) + .text + .balign 4 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Pointer-offset pairs for inputs and outputs +// These assume %rdi = p3, %rsi = p1, which is true when the +// arguments come in initially and is not disturbed throughout. + +#define x_1 0(%rsi) +#define y_1 NUMSIZE(%rsi) +#define z_1 (2*NUMSIZE)(%rsi) + +#define x_3 0(%rdi) +#define y_3 NUMSIZE(%rdi) +#define z_3 (2*NUMSIZE)(%rdi) + +// Pointer-offset pairs for temporaries, with some aliasing +// NSPACE is the total stack needed for these temporaries + +#define z2 (NUMSIZE*0)(%rsp) +#define y4 (NUMSIZE*0)(%rsp) + +#define y2 (NUMSIZE*1)(%rsp) + +#define t1 (NUMSIZE*2)(%rsp) + +#define t2 (NUMSIZE*3)(%rsp) +#define x2p (NUMSIZE*3)(%rsp) +#define dx2 (NUMSIZE*3)(%rsp) + +#define xy2 (NUMSIZE*4)(%rsp) + +#define x4p (NUMSIZE*5)(%rsp) +#define d (NUMSIZE*5)(%rsp) + +#define NSPACE NUMSIZE*6 + +// Corresponds exactly to bignum_montmul_p256 + +#define montmul_p256(P0,P1,P2) \ + xorl %r13d, %r13d ; \ + movq P2, %rdx ; \ + mulxq P1, %r8, %r9 ; \ + mulxq 0x8+P1, %rbx, %r10 ; \ + adcq %rbx, %r9 ; \ + mulxq 0x10+P1, %rbx, %r11 ; \ + adcq %rbx, %r10 ; \ + mulxq 0x18+P1, %rbx, %r12 ; \ + adcq %rbx, %r11 ; \ + adcq %r13, %r12 ; \ + movq 0x8+P2, %rdx ; \ + xorl %r14d, %r14d ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x18+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + adcq %r14, %r13 ; \ + xorl %r15d, %r15d ; \ + movabsq $0x100000000, %rdx ; \ + mulxq %r8, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq %r9, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + notq %rdx; \ + leaq 0x2(%rdx), %rdx ; \ + mulxq %r8, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq %r9, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + adcxq %r15, %r13 ; \ + adoxq %r15, %r14 ; \ + adcq %r15, %r14 ; \ + movq 0x10+P2, %rdx ; \ + xorl %r8d, %r8d ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + adoxq %r8, %r14 ; \ + mulxq 0x18+P1, %rax, %rbx ; \ + adcq %rax, %r13 ; \ + adcq %rbx, %r14 ; \ + adcq %r8, %r15 ; \ + movq 0x18+P2, %rdx ; \ + xorl %r9d, %r9d ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r13 ; \ + adoxq %rbx, %r14 ; \ + adoxq %r9, %r15 ; \ + mulxq 0x18+P1, %rax, %rbx ; \ + adcq %rax, %r14 ; \ + adcq %rbx, %r15 ; \ + adcq %r9, %r8 ; \ + xorl %r9d, %r9d ; \ + movabsq $0x100000000, %rdx ; \ + mulxq %r10, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq %r11, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + notq %rdx; \ + leaq 0x2(%rdx), %rdx ; \ + mulxq %r10, %rax, %rbx ; \ + adcxq %rax, %r13 ; \ + adoxq %rbx, %r14 ; \ + mulxq %r11, %rax, %rbx ; \ + adcxq %rax, %r14 ; \ + adoxq %rbx, %r15 ; \ + adcxq %r9, %r15 ; \ + adoxq %r9, %r8 ; \ + adcq %r9, %r8 ; \ + movl $0x1, %ecx ; \ + addq %r12, %rcx ; \ + decq %rdx; \ + adcq %r13, %rdx ; \ + decq %r9; \ + movq %r9, %rax ; \ + adcq %r14, %r9 ; \ + movl $0xfffffffe, %r11d ; \ + adcq %r15, %r11 ; \ + adcq %r8, %rax ; \ + cmovbq %rcx, %r12 ; \ + cmovbq %rdx, %r13 ; \ + cmovbq %r9, %r14 ; \ + cmovbq %r11, %r15 ; \ + movq %r12, P0 ; \ + movq %r13, 0x8+P0 ; \ + movq %r14, 0x10+P0 ; \ + movq %r15, 0x18+P0 + +// Corresponds exactly to bignum_montsqr_p256 + +#define montsqr_p256(P0,P1) \ + movq P1, %rdx ; \ + mulxq %rdx, %r8, %r15 ; \ + mulxq 0x8+P1, %r9, %r10 ; \ + mulxq 0x18+P1, %r11, %r12 ; \ + movq 0x10+P1, %rdx ; \ + mulxq 0x18+P1, %r13, %r14 ; \ + xorl %ebp, %ebp ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + movq 0x18+P1, %rdx ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + adcxq %rbp, %r13 ; \ + adoxq %rbp, %r14 ; \ + adcq %rbp, %r14 ; \ + xorl %ebp, %ebp ; \ + adcxq %r9, %r9 ; \ + adoxq %r15, %r9 ; \ + movq 0x8+P1, %rdx ; \ + mulxq %rdx, %rax, %rdx ; \ + adcxq %r10, %r10 ; \ + adoxq %rax, %r10 ; \ + adcxq %r11, %r11 ; \ + adoxq %rdx, %r11 ; \ + movq 0x10+P1, %rdx ; \ + mulxq %rdx, %rax, %rdx ; \ + adcxq %r12, %r12 ; \ + adoxq %rax, %r12 ; \ + adcxq %r13, %r13 ; \ + adoxq %rdx, %r13 ; \ + movq 0x18+P1, %rdx ; \ + mulxq %rdx, %rax, %r15 ; \ + adcxq %r14, %r14 ; \ + adoxq %rax, %r14 ; \ + adcxq %rbp, %r15 ; \ + adoxq %rbp, %r15 ; \ + xorl %ebp, %ebp ; \ + movabsq $0x100000000, %rdx ; \ + mulxq %r8, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq %r9, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + movabsq $0xffffffff00000001, %rdx ; \ + mulxq %r8, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq %r9, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + adcxq %rbp, %r13 ; \ + movl %ebp, %r9d ; \ + adoxq %rbp, %r9 ; \ + adcxq %rbp, %r9 ; \ + addq %r9, %r14 ; \ + adcq %rbp, %r15 ; \ + movl %ebp, %r8d ; \ + adcq %rbp, %r8 ; \ + xorl %ebp, %ebp ; \ + movabsq $0x100000000, %rdx ; \ + mulxq %r10, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq %r11, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + movabsq $0xffffffff00000001, %rdx ; \ + mulxq %r10, %rax, %rbx ; \ + adcxq %rax, %r13 ; \ + adoxq %rbx, %r14 ; \ + mulxq %r11, %rax, %rbx ; \ + adcxq %rax, %r14 ; \ + adoxq %rbx, %r15 ; \ + adcxq %rbp, %r15 ; \ + adoxq %rbp, %r8 ; \ + adcq %rbp, %r8 ; \ + movl $0x1, %ecx ; \ + addq %r12, %rcx ; \ + leaq -0x1(%rdx), %rdx ; \ + adcq %r13, %rdx ; \ + leaq -0x1(%rbp), %rbp ; \ + movq %rbp, %rax ; \ + adcq %r14, %rbp ; \ + movl $0xfffffffe, %r11d ; \ + adcq %r15, %r11 ; \ + adcq %r8, %rax ; \ + cmovbq %rcx, %r12 ; \ + cmovbq %rdx, %r13 ; \ + cmovbq %rbp, %r14 ; \ + cmovbq %r11, %r15 ; \ + movq %r12, P0 ; \ + movq %r13, 0x8+P0 ; \ + movq %r14, 0x10+P0 ; \ + movq %r15, 0x18+P0 + +// Corresponds exactly to bignum_sub_p256 + +#define sub_p256(P0,P1,P2) \ + movq P1, %rax ; \ + subq P2, %rax ; \ + movq 0x8+P1, %rcx ; \ + sbbq 0x8+P2, %rcx ; \ + movq 0x10+P1, %r8 ; \ + sbbq 0x10+P2, %r8 ; \ + movq 0x18+P1, %r9 ; \ + sbbq 0x18+P2, %r9 ; \ + movl $0xffffffff, %r10d ; \ + sbbq %r11, %r11 ; \ + xorq %rdx, %rdx ; \ + andq %r11, %r10 ; \ + subq %r10, %rdx ; \ + addq %r11, %rax ; \ + movq %rax, P0 ; \ + adcq %r10, %rcx ; \ + movq %rcx, 0x8+P0 ; \ + adcq $0x0, %r8 ; \ + movq %r8, 0x10+P0 ; \ + adcq %rdx, %r9 ; \ + movq %r9, 0x18+P0 + +// Corresponds exactly to bignum_add_p256 + +#define add_p256(P0,P1,P2) \ + xorq %r11, %r11 ; \ + movq P1, %rax ; \ + addq P2, %rax ; \ + movq 0x8+P1, %rcx ; \ + adcq 0x8+P2, %rcx ; \ + movq 0x10+P1, %r8 ; \ + adcq 0x10+P2, %r8 ; \ + movq 0x18+P1, %r9 ; \ + adcq 0x18+P2, %r9 ; \ + adcq %r11, %r11 ; \ + subq $0xffffffffffffffff, %rax ; \ + movl $0xffffffff, %r10d ; \ + sbbq %r10, %rcx ; \ + sbbq $0x0, %r8 ; \ + movq $0xffffffff00000001, %rdx ; \ + sbbq %rdx, %r9 ; \ + sbbq $0x0, %r11 ; \ + andq %r11, %r10 ; \ + andq %r11, %rdx ; \ + addq %r11, %rax ; \ + movq %rax, P0 ; \ + adcq %r10, %rcx ; \ + movq %rcx, 0x8+P0 ; \ + adcq $0x0, %r8 ; \ + movq %r8, 0x10+P0 ; \ + adcq %rdx, %r9 ; \ + movq %r9, 0x18+P0 + +// A weak version of add that only guarantees sum in 4 digits + +#define weakadd_p256(P0,P1,P2) \ + movq P1, %rax ; \ + addq P2, %rax ; \ + movq 0x8+P1, %rcx ; \ + adcq 0x8+P2, %rcx ; \ + movq 0x10+P1, %r8 ; \ + adcq 0x10+P2, %r8 ; \ + movq 0x18+P1, %r9 ; \ + adcq 0x18+P2, %r9 ; \ + movl $0xffffffff, %r10d ; \ + sbbq %r11, %r11 ; \ + xorq %rdx, %rdx ; \ + andq %r11, %r10 ; \ + subq %r10, %rdx ; \ + subq %r11, %rax ; \ + movq %rax, P0 ; \ + sbbq %r10, %rcx ; \ + movq %rcx, 0x8+P0 ; \ + sbbq $0x0, %r8 ; \ + movq %r8, 0x10+P0 ; \ + sbbq %rdx, %r9 ; \ + movq %r9, 0x18+P0 + +// P0 = C * P1 - D * P2 computed as d * (p_256 - P2) + c * P1 +// Quotient estimation is done just as q = h + 1 as in bignum_triple_p256 +// This also applies to the other functions following. + +#define cmsub_p256(P0,C,P1,D,P2) \ + /* First (%r11;%r10;%r9;%r8) = p_256 - P2 */ \ + movq $0xffffffffffffffff, %r8 ; \ + xorl %r10d, %r10d ; \ + subq P2, %r8 ; \ + movq $0x00000000ffffffff, %r9 ; \ + sbbq 0x8+P2, %r9 ; \ + sbbq 0x10+P2, %r10 ; \ + movq $0xffffffff00000001, %r11 ; \ + sbbq 0x18+P2, %r11 ; \ + /* (%r12;%r11;%r10;%r9;%r8) = D * (p_256 - P2) */ \ + xorl %r12d, %r12d ; \ + movq $D, %rdx ; \ + mulxq %r8, %r8, %rax ; \ + mulxq %r9, %r9, %rcx ; \ + addq %rax, %r9 ; \ + mulxq %r10, %r10, %rax ; \ + adcq %rcx, %r10 ; \ + mulxq %r11, %r11, %rcx ; \ + adcq %rax, %r11 ; \ + adcq %rcx, %r12 ; \ + /* (%rdx;%r11;%r10;%r9;%r8) = 2^256 + C * P1 + D * (p_256 - P2) */ \ + movq $C, %rdx ; \ + xorl %eax, %eax ; \ + mulxq P1, %rax, %rcx ; \ + adcxq %rax, %r8 ; \ + adoxq %rcx, %r9 ; \ + mulxq 0x8+P1, %rax, %rcx ; \ + adcxq %rax, %r9 ; \ + adoxq %rcx, %r10 ; \ + mulxq 0x10+P1, %rax, %rcx ; \ + adcxq %rax, %r10 ; \ + adoxq %rcx, %r11 ; \ + mulxq 0x18+P1, %rax, %rdx ; \ + adcxq %rax, %r11 ; \ + adoxq %r12, %rdx ; \ + adcq $1, %rdx ; \ + /* Now the tail for modular reduction from tripling */ \ + addq %rdx, %r8 ; \ + movq $0x100000000, %rax ; \ + mulxq %rax, %rax, %rcx ; \ + sbbq $0x0, %rax ; \ + sbbq $0x0, %rcx ; \ + subq %rax, %r9 ; \ + sbbq %rcx, %r10 ; \ + movq $0xffffffff00000001, %rax ; \ + mulxq %rax, %rax, %rcx ; \ + sbbq %rax, %r11 ; \ + sbbq %rcx, %rdx ; \ + decq %rdx; \ + movl $0xffffffff, %eax ; \ + andq %rdx, %rax ; \ + xorl %ecx, %ecx ; \ + subq %rax, %rcx ; \ + addq %rdx, %r8 ; \ + movq %r8, P0 ; \ + adcq %rax, %r9 ; \ + movq %r9, 0x8+P0 ; \ + adcq $0x0, %r10 ; \ + movq %r10, 0x10+P0 ; \ + adcq %rcx, %r11 ; \ + movq %r11, 0x18+P0 + +// P0 = 3 * P1 - 8 * P2, computed as (p_256 - P2) << 3 + 3 * P1 + +#define cmsub38_p256(P0,P1,P2) \ + /* First (%r11;%r10;%r9;%r8) = p_256 - P2 */ \ + movq $0xffffffffffffffff, %r8 ; \ + xorl %r10d, %r10d ; \ + subq P2, %r8 ; \ + movq $0x00000000ffffffff, %r9 ; \ + sbbq 0x8+P2, %r9 ; \ + sbbq 0x10+P2, %r10 ; \ + movq $0xffffffff00000001, %r11 ; \ + sbbq 0x18+P2, %r11 ; \ + /* (%r12;%r11;%r10;%r9;%r8) = (p_256 - P2) << 3 */ \ + movq %r11, %r12 ; \ + shldq $3, %r10, %r11 ; \ + shldq $3, %r9, %r10 ; \ + shldq $3, %r8, %r9 ; \ + shlq $3, %r8 ; \ + shrq $61, %r12 ; \ + /* (%rdx;%r11;%r10;%r9;%r8) = 2^256 + 3 * P1 + 8 * (p_256 - P2) */ \ + movq $3, %rdx ; \ + xorl %eax, %eax ; \ + mulxq P1, %rax, %rcx ; \ + adcxq %rax, %r8 ; \ + adoxq %rcx, %r9 ; \ + mulxq 0x8+P1, %rax, %rcx ; \ + adcxq %rax, %r9 ; \ + adoxq %rcx, %r10 ; \ + mulxq 0x10+P1, %rax, %rcx ; \ + adcxq %rax, %r10 ; \ + adoxq %rcx, %r11 ; \ + mulxq 0x18+P1, %rax, %rdx ; \ + adcxq %rax, %r11 ; \ + adoxq %r12, %rdx ; \ + adcq $1, %rdx ; \ + /* Now the tail for modular reduction from tripling */ \ + addq %rdx, %r8 ; \ + movq $0x100000000, %rax ; \ + mulxq %rax, %rax, %rcx ; \ + sbbq $0x0, %rax ; \ + sbbq $0x0, %rcx ; \ + subq %rax, %r9 ; \ + sbbq %rcx, %r10 ; \ + movq $0xffffffff00000001, %rax ; \ + mulxq %rax, %rax, %rcx ; \ + sbbq %rax, %r11 ; \ + sbbq %rcx, %rdx ; \ + decq %rdx; \ + movl $0xffffffff, %eax ; \ + andq %rdx, %rax ; \ + xorl %ecx, %ecx ; \ + subq %rax, %rcx ; \ + addq %rdx, %r8 ; \ + movq %r8, P0 ; \ + adcq %rax, %r9 ; \ + movq %r9, 0x8+P0 ; \ + adcq $0x0, %r10 ; \ + movq %r10, 0x10+P0 ; \ + adcq %rcx, %r11 ; \ + movq %r11, 0x18+P0 + +// P0 = 4 * P1 - P2, by direct subtraction of P2, +// since the quotient estimate still works safely +// for initial value > -p_256 + +#define cmsub41_p256(P0,P1,P2) \ + movq 0x18+P1, %r11 ; \ + movq %r11, %rdx ; \ + movq 0x10+P1, %r10 ; \ + shldq $2, %r10, %r11 ; \ + movq 0x8+P1, %r9 ; \ + shldq $2, %r9, %r10 ; \ + movq P1, %r8 ; \ + shldq $2, %r8, %r9 ; \ + shlq $2, %r8 ; \ + shrq $62, %rdx ; \ + addq $1, %rdx ; \ + subq P2, %r8 ; \ + sbbq 0x8+P2, %r9 ; \ + sbbq 0x10+P2, %r10 ; \ + sbbq 0x18+P2, %r11 ; \ + sbbq $0, %rdx ; \ + /* Now the tail for modular reduction from tripling */ \ + addq %rdx, %r8 ; \ + movq $0x100000000, %rax ; \ + mulxq %rax, %rax, %rcx ; \ + sbbq $0x0, %rax ; \ + sbbq $0x0, %rcx ; \ + subq %rax, %r9 ; \ + sbbq %rcx, %r10 ; \ + movq $0xffffffff00000001, %rax ; \ + mulxq %rax, %rax, %rcx ; \ + sbbq %rax, %r11 ; \ + sbbq %rcx, %rdx ; \ + decq %rdx; \ + movl $0xffffffff, %eax ; \ + andq %rdx, %rax ; \ + xorl %ecx, %ecx ; \ + subq %rax, %rcx ; \ + addq %rdx, %r8 ; \ + movq %r8, P0 ; \ + adcq %rax, %r9 ; \ + movq %r9, 0x8+P0 ; \ + adcq $0x0, %r10 ; \ + movq %r10, 0x10+P0 ; \ + adcq %rcx, %r11 ; \ + movq %r11, 0x18+P0 + +S2N_BN_SYMBOL(p256_montjdouble): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi +#endif + +// Save registers and make room on stack for temporary variables + + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + + CFI_DEC_RSP(NSPACE) + +// Main code, just a sequence of basic field operations + +// z2 = z^2 +// y2 = y^2 + + montsqr_p256(z2,z_1) + montsqr_p256(y2,y_1) + +// x2p = x^2 - z^4 = (x + z^2) * (x - z^2) + + sub_p256(t2,x_1,z2) + weakadd_p256(t1,x_1,z2) + montmul_p256(x2p,t1,t2) + +// t1 = y + z +// xy2 = x * y^2 +// x4p = x2p^2 + + add_p256(t1,y_1,z_1) + montmul_p256(xy2,x_1,y2) + montsqr_p256(x4p,x2p) + +// t1 = (y + z)^2 + + montsqr_p256(t1,t1) + +// d = 12 * xy2 - 9 * x4p +// t1 = y^2 + 2 * y * z + + cmsub_p256(d,12,xy2,9,x4p) + sub_p256(t1,t1,z2) + +// y4 = y^4 + + montsqr_p256(y4,y2) + +// dx2 = d * x2p + + montmul_p256(dx2,d,x2p) + +// z_3' = 2 * y * z + + sub_p256(z_3,t1,y2) + +// x' = 4 * xy2 - d + + cmsub41_p256(x_3,xy2,d) + +// y' = 3 * dx2 - 8 * y4 + + cmsub38_p256(y_3,dx2,y4) + +// Restore stack and registers + + CFI_INC_RSP(NSPACE) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p256_montjdouble) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/x86_att/p256_montjdouble_alt.S b/cbits/s2n/x86_att/p256_montjdouble_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/p256_montjdouble_alt.S @@ -0,0 +1,747 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Point doubling on NIST curve P-256 in Montgomery-Jacobian coordinates +// +// extern void p256_montjdouble_alt(uint64_t p3[static 12], +// const uint64_t p1[static 12]); +// +// Does p3 := 2 * p1 where all points are regarded as Jacobian triples with +// each coordinate in the Montgomery domain, i.e. x' = (2^256 * x) mod p_256. +// A Jacobian triple (x',y',z') represents affine point (x/z^2,y/z^3). +// +// Standard x86-64 ABI: RDI = p3, RSI = p1 +// Microsoft x64 ABI: RCX = p3, RDX = p1 +// ---------------------------------------------------------------------------- +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p256_montjdouble_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p256_montjdouble_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p256_montjdouble_alt) + .text + .balign 4 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Pointer-offset pairs for inputs and outputs +// These assume %rdi = p3, %rsi = p1, which is true when the +// arguments come in initially and is not disturbed throughout. + +#define x_1 0(%rsi) +#define y_1 NUMSIZE(%rsi) +#define z_1 (2*NUMSIZE)(%rsi) + +#define x_3 0(%rdi) +#define y_3 NUMSIZE(%rdi) +#define z_3 (2*NUMSIZE)(%rdi) + +// Pointer-offset pairs for temporaries, with some aliasing +// NSPACE is the total stack needed for these temporaries + +#define z2 (NUMSIZE*0)(%rsp) +#define y4 (NUMSIZE*0)(%rsp) + +#define y2 (NUMSIZE*1)(%rsp) + +#define t1 (NUMSIZE*2)(%rsp) + +#define t2 (NUMSIZE*3)(%rsp) +#define x2p (NUMSIZE*3)(%rsp) +#define dx2 (NUMSIZE*3)(%rsp) + +#define xy2 (NUMSIZE*4)(%rsp) + +#define x4p (NUMSIZE*5)(%rsp) +#define d (NUMSIZE*5)(%rsp) + +#define NSPACE NUMSIZE*6 + +// Corresponds exactly to bignum_montmul_p256_alt + +#define montmul_p256(P0,P1,P2) \ + movq P2, %rbx ; \ + movq P1, %rax ; \ + mulq %rbx; \ + movq %rax, %r8 ; \ + movq %rdx, %r9 ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + xorl %r10d, %r10d ; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + movq 0x10+P1, %rax ; \ + mulq %rbx; \ + xorl %r11d, %r11d ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + movq 0x18+P1, %rax ; \ + mulq %rbx; \ + xorl %r12d, %r12d ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + movq 0x8+P2, %rbx ; \ + xorl %r13d, %r13d ; \ + movq P1, %rax ; \ + mulq %rbx; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + sbbq %r14, %r14 ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + subq %r14, %rdx ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %r14, %r14 ; \ + movq 0x10+P1, %rax ; \ + mulq %rbx; \ + subq %r14, %rdx ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %r14, %r14 ; \ + movq 0x18+P1, %rax ; \ + mulq %rbx; \ + subq %r14, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + xorl %r14d, %r14d ; \ + movq $0x100000000, %rbx ; \ + movq %r8, %rax ; \ + mulq %rbx; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + sbbq %r15, %r15 ; \ + movq %r9, %rax ; \ + mulq %rbx; \ + subq %r15, %rdx ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %r15, %r15 ; \ + notq %rbx; \ + leaq 0x2(%rbx), %rbx ; \ + movq %r8, %rax ; \ + mulq %rbx; \ + subq %r15, %rdx ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %r15, %r15 ; \ + movq %r9, %rax ; \ + mulq %rbx; \ + subq %r15, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq %r14, %r14 ; \ + movq 0x10+P2, %rbx ; \ + xorl %r15d, %r15d ; \ + movq P1, %rax ; \ + mulq %rbx; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %r8, %r8 ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + subq %r8, %rdx ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %r8, %r8 ; \ + movq 0x10+P1, %rax ; \ + mulq %rbx; \ + subq %r8, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + sbbq %r8, %r8 ; \ + movq 0x18+P1, %rax ; \ + mulq %rbx; \ + subq %r8, %rdx ; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + adcq %r15, %r15 ; \ + movq 0x18+P2, %rbx ; \ + xorl %r8d, %r8d ; \ + movq P1, %rax ; \ + mulq %rbx; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %r9, %r9 ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + subq %r9, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + sbbq %r9, %r9 ; \ + movq 0x10+P1, %rax ; \ + mulq %rbx; \ + subq %r9, %rdx ; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + sbbq %r9, %r9 ; \ + movq 0x18+P1, %rax ; \ + mulq %rbx; \ + subq %r9, %rdx ; \ + addq %rax, %r14 ; \ + adcq %rdx, %r15 ; \ + adcq %r8, %r8 ; \ + xorl %r9d, %r9d ; \ + movq $0x100000000, %rbx ; \ + movq %r10, %rax ; \ + mulq %rbx; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %rcx, %rcx ; \ + movq %r11, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + sbbq %rcx, %rcx ; \ + notq %rbx; \ + leaq 0x2(%rbx), %rbx ; \ + movq %r10, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + sbbq %rcx, %rcx ; \ + movq %r11, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r14 ; \ + adcq %rdx, %r15 ; \ + adcq %r9, %r8 ; \ + movl $0x1, %ecx ; \ + addq %r12, %rcx ; \ + decq %rbx; \ + adcq %r13, %rbx ; \ + decq %r9; \ + movq %r9, %rax ; \ + adcq %r14, %r9 ; \ + movl $0xfffffffe, %r11d ; \ + adcq %r15, %r11 ; \ + adcq %r8, %rax ; \ + cmovbq %rcx, %r12 ; \ + cmovbq %rbx, %r13 ; \ + cmovbq %r9, %r14 ; \ + cmovbq %r11, %r15 ; \ + movq %r12, P0 ; \ + movq %r13, 0x8+P0 ; \ + movq %r14, 0x10+P0 ; \ + movq %r15, 0x18+P0 + +// Corresponds exactly to bignum_montsqr_p256_alt + +#define montsqr_p256(P0,P1) \ + movq P1, %rax ; \ + movq %rax, %rbx ; \ + mulq %rax; \ + movq %rax, %r8 ; \ + movq %rdx, %r15 ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + movq %rax, %r9 ; \ + movq %rdx, %r10 ; \ + movq 0x18+P1, %rax ; \ + movq %rax, %r13 ; \ + mulq %rbx; \ + movq %rax, %r11 ; \ + movq %rdx, %r12 ; \ + movq 0x10+P1, %rax ; \ + movq %rax, %rbx ; \ + mulq %r13; \ + movq %rax, %r13 ; \ + movq %rdx, %r14 ; \ + movq P1, %rax ; \ + mulq %rbx; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %rcx, %rcx ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %rcx, %rcx ; \ + movq 0x18+P1, %rbx ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq $0x0, %r14 ; \ + xorl %ecx, %ecx ; \ + addq %r9, %r9 ; \ + adcq %r10, %r10 ; \ + adcq %r11, %r11 ; \ + adcq %r12, %r12 ; \ + adcq %r13, %r13 ; \ + adcq %r14, %r14 ; \ + adcq %rcx, %rcx ; \ + movq 0x8+P1, %rax ; \ + mulq %rax; \ + addq %r15, %r9 ; \ + adcq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %r15, %r15 ; \ + movq 0x10+P1, %rax ; \ + mulq %rax; \ + negq %r15; \ + adcq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + sbbq %r15, %r15 ; \ + movq 0x18+P1, %rax ; \ + mulq %rax; \ + negq %r15; \ + adcq %rax, %r14 ; \ + adcq %rcx, %rdx ; \ + movq %rdx, %r15 ; \ + movq $0x100000000, %rbx ; \ + movq %r8, %rax ; \ + mulq %rbx; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + sbbq %rcx, %rcx ; \ + movq %r9, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %rcx, %rcx ; \ + notq %rbx; \ + leaq 0x2(%rbx), %rbx ; \ + movq %r8, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %rcx, %rcx ; \ + xorl %r8d, %r8d ; \ + movq %r9, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq %r8, %r14 ; \ + adcq %r8, %r15 ; \ + adcq %r8, %r8 ; \ + movq $0x100000000, %rbx ; \ + movq %r10, %rax ; \ + mulq %rbx; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %rcx, %rcx ; \ + movq %r11, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + sbbq %rcx, %rcx ; \ + notq %rbx; \ + leaq 0x2(%rbx), %rbx ; \ + movq %r10, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + sbbq %rcx, %rcx ; \ + xorl %r9d, %r9d ; \ + movq %r11, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r14 ; \ + adcq %rdx, %r15 ; \ + adcq %r9, %r8 ; \ + movl $0x1, %ecx ; \ + addq %r12, %rcx ; \ + leaq -0x1(%rbx), %rbx ; \ + adcq %r13, %rbx ; \ + leaq -0x1(%r9), %r9 ; \ + movq %r9, %rax ; \ + adcq %r14, %r9 ; \ + movl $0xfffffffe, %r11d ; \ + adcq %r15, %r11 ; \ + adcq %r8, %rax ; \ + cmovbq %rcx, %r12 ; \ + cmovbq %rbx, %r13 ; \ + cmovbq %r9, %r14 ; \ + cmovbq %r11, %r15 ; \ + movq %r12, P0 ; \ + movq %r13, 0x8+P0 ; \ + movq %r14, 0x10+P0 ; \ + movq %r15, 0x18+P0 + +// Corresponds exactly to bignum_sub_p256 + +#define sub_p256(P0,P1,P2) \ + movq P1, %rax ; \ + subq P2, %rax ; \ + movq 0x8+P1, %rcx ; \ + sbbq 0x8+P2, %rcx ; \ + movq 0x10+P1, %r8 ; \ + sbbq 0x10+P2, %r8 ; \ + movq 0x18+P1, %r9 ; \ + sbbq 0x18+P2, %r9 ; \ + movl $0xffffffff, %r10d ; \ + sbbq %r11, %r11 ; \ + xorq %rdx, %rdx ; \ + andq %r11, %r10 ; \ + subq %r10, %rdx ; \ + addq %r11, %rax ; \ + movq %rax, P0 ; \ + adcq %r10, %rcx ; \ + movq %rcx, 0x8+P0 ; \ + adcq $0x0, %r8 ; \ + movq %r8, 0x10+P0 ; \ + adcq %rdx, %r9 ; \ + movq %r9, 0x18+P0 + +// Corresponds exactly to bignum_add_p256 + +#define add_p256(P0,P1,P2) \ + xorq %r11, %r11 ; \ + movq P1, %rax ; \ + addq P2, %rax ; \ + movq 0x8+P1, %rcx ; \ + adcq 0x8+P2, %rcx ; \ + movq 0x10+P1, %r8 ; \ + adcq 0x10+P2, %r8 ; \ + movq 0x18+P1, %r9 ; \ + adcq 0x18+P2, %r9 ; \ + adcq %r11, %r11 ; \ + subq $0xffffffffffffffff, %rax ; \ + movl $0xffffffff, %r10d ; \ + sbbq %r10, %rcx ; \ + sbbq $0x0, %r8 ; \ + movq $0xffffffff00000001, %rdx ; \ + sbbq %rdx, %r9 ; \ + sbbq $0x0, %r11 ; \ + andq %r11, %r10 ; \ + andq %r11, %rdx ; \ + addq %r11, %rax ; \ + movq %rax, P0 ; \ + adcq %r10, %rcx ; \ + movq %rcx, 0x8+P0 ; \ + adcq $0x0, %r8 ; \ + movq %r8, 0x10+P0 ; \ + adcq %rdx, %r9 ; \ + movq %r9, 0x18+P0 + +// A weak version of add that only guarantees sum in 4 digits + +#define weakadd_p256(P0,P1,P2) \ + movq P1, %rax ; \ + addq P2, %rax ; \ + movq 0x8+P1, %rcx ; \ + adcq 0x8+P2, %rcx ; \ + movq 0x10+P1, %r8 ; \ + adcq 0x10+P2, %r8 ; \ + movq 0x18+P1, %r9 ; \ + adcq 0x18+P2, %r9 ; \ + movl $0xffffffff, %r10d ; \ + sbbq %r11, %r11 ; \ + xorq %rdx, %rdx ; \ + andq %r11, %r10 ; \ + subq %r10, %rdx ; \ + subq %r11, %rax ; \ + movq %rax, P0 ; \ + sbbq %r10, %rcx ; \ + movq %rcx, 0x8+P0 ; \ + sbbq $0x0, %r8 ; \ + movq %r8, 0x10+P0 ; \ + sbbq %rdx, %r9 ; \ + movq %r9, 0x18+P0 + +// P0 = C * P1 - D * P2 computed as d * (p_256 - P2) + c * P1 +// Quotient estimation is done just as q = h + 1 as in bignum_triple_p256_alt. +// This also applies to the other functions following. + +#define cmsub_p256(P0,C,P1,D,P2) \ + /* First (%r12;%r11;%r10;%r9) = p_256 - P2 */ \ + movq $0xffffffffffffffff, %r9 ; \ + xorl %r11d, %r11d ; \ + subq P2, %r9 ; \ + movq $0x00000000ffffffff, %r10 ; \ + sbbq 0x8+P2, %r10 ; \ + sbbq 0x10+P2, %r11 ; \ + movq $0xffffffff00000001, %r12 ; \ + sbbq 0x18+P2, %r12 ; \ + /* (%r12;%r11;%r10;%r9;%r8) = D * (p_256 - P2) */ \ + movq $D, %rcx ; \ + movq %r9, %rax ; \ + mulq %rcx; \ + movq %rax, %r8 ; \ + movq %rdx, %r9 ; \ + movq %r10, %rax ; \ + xorl %r10d, %r10d ; \ + mulq %rcx; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + movq %r11, %rax ; \ + xorl %r11d, %r11d ; \ + mulq %rcx; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + movq %r12, %rax ; \ + xorl %r12d, %r12d ; \ + mulq %rcx; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + /* (%rcx;%r11;%r10;%r9;%r8) = 2^256 + C * P1 + D * (p_256 - P2) */ \ + movl $C, %ecx ; \ + movq P1, %rax ; \ + mulq %rcx; \ + addq %rax, %r8 ; \ + adcq %rdx, %r9 ; \ + sbbq %rbx, %rbx ; \ + movq 0x8+P1, %rax ; \ + mulq %rcx; \ + subq %rbx, %rdx ; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + sbbq %rbx, %rbx ; \ + movq 0x10+P1, %rax ; \ + mulq %rcx; \ + subq %rbx, %rdx ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %rbx, %rbx ; \ + movq 0x18+P1, %rax ; \ + mulq %rcx; \ + subq %rbx, %rdx ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + leaq 1(%r12), %rcx ; \ + /* Now the tail for modular reduction from tripling */ \ + movq $0xffffffff00000001, %rax ; \ + mulq %rcx; \ + movq %rcx, %rbx ; \ + shlq $0x20, %rbx ; \ + addq %rcx, %r8 ; \ + sbbq $0x0, %rbx ; \ + subq %rbx, %r9 ; \ + sbbq $0x0, %r10 ; \ + sbbq %rax, %r11 ; \ + sbbq %rdx, %rcx ; \ + decq %rcx; \ + movl $0xffffffff, %eax ; \ + andq %rcx, %rax ; \ + xorl %edx, %edx ; \ + subq %rax, %rdx ; \ + addq %rcx, %r8 ; \ + movq %r8, P0 ; \ + adcq %rax, %r9 ; \ + movq %r9, 0x8+P0 ; \ + adcq $0x0, %r10 ; \ + movq %r10, 0x10+P0 ; \ + adcq %rdx, %r11 ; \ + movq %r11, 0x18+P0 + +// P0 = 3 * P1 - 8 * P2, computed as (p_256 - P2) << 3 + 3 * P1 + +#define cmsub38_p256(P0,P1,P2) \ + /* First (%r11;%r10;%r9;%r8) = p_256 - P2 */ \ + movq $0xffffffffffffffff, %r8 ; \ + xorl %r10d, %r10d ; \ + subq P2, %r8 ; \ + movq $0x00000000ffffffff, %r9 ; \ + sbbq 0x8+P2, %r9 ; \ + sbbq 0x10+P2, %r10 ; \ + movq $0xffffffff00000001, %r11 ; \ + sbbq 0x18+P2, %r11 ; \ + /* (%r12;%r11;%r10;%r9;%r8) = (p_256 - P2) << 3 */ \ + movq %r11, %r12 ; \ + shldq $3, %r10, %r11 ; \ + shldq $3, %r9, %r10 ; \ + shldq $3, %r8, %r9 ; \ + shlq $3, %r8 ; \ + shrq $61, %r12 ; \ + /* (%rcx;%r11;%r10;%r9;%r8) = 2^256 + 3 * P1 + 8 * (p_256 - P2) */ \ + movl $3, %ecx ; \ + movq P1, %rax ; \ + mulq %rcx; \ + addq %rax, %r8 ; \ + adcq %rdx, %r9 ; \ + sbbq %rbx, %rbx ; \ + movq 0x8+P1, %rax ; \ + mulq %rcx; \ + subq %rbx, %rdx ; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + sbbq %rbx, %rbx ; \ + movq 0x10+P1, %rax ; \ + mulq %rcx; \ + subq %rbx, %rdx ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %rbx, %rbx ; \ + movq 0x18+P1, %rax ; \ + mulq %rcx; \ + subq %rbx, %rdx ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + leaq 1(%r12), %rcx ; \ + /* Now the tail for modular reduction from tripling */ \ + movq $0xffffffff00000001, %rax ; \ + mulq %rcx; \ + movq %rcx, %rbx ; \ + shlq $0x20, %rbx ; \ + addq %rcx, %r8 ; \ + sbbq $0x0, %rbx ; \ + subq %rbx, %r9 ; \ + sbbq $0x0, %r10 ; \ + sbbq %rax, %r11 ; \ + sbbq %rdx, %rcx ; \ + decq %rcx; \ + movl $0xffffffff, %eax ; \ + andq %rcx, %rax ; \ + xorl %edx, %edx ; \ + subq %rax, %rdx ; \ + addq %rcx, %r8 ; \ + movq %r8, P0 ; \ + adcq %rax, %r9 ; \ + movq %r9, 0x8+P0 ; \ + adcq $0x0, %r10 ; \ + movq %r10, 0x10+P0 ; \ + adcq %rdx, %r11 ; \ + movq %r11, 0x18+P0 + +// P0 = 4 * P1 - P2, by direct subtraction of P2, +// since the quotient estimate still works safely +// for initial value > -p_256 + +#define cmsub41_p256(P0,P1,P2) \ + movq 0x18+P1, %r11 ; \ + movq %r11, %rcx ; \ + movq 0x10+P1, %r10 ; \ + shldq $2, %r10, %r11 ; \ + movq 0x8+P1, %r9 ; \ + shldq $2, %r9, %r10 ; \ + movq P1, %r8 ; \ + shldq $2, %r8, %r9 ; \ + shlq $2, %r8 ; \ + shrq $62, %rcx ; \ + addq $1, %rcx ; \ + subq P2, %r8 ; \ + sbbq 0x8+P2, %r9 ; \ + sbbq 0x10+P2, %r10 ; \ + sbbq 0x18+P2, %r11 ; \ + sbbq $0, %rcx ; \ + /* Now the tail for modular reduction from tripling */ \ + movq $0xffffffff00000001, %rax ; \ + mulq %rcx; \ + movq %rcx, %rbx ; \ + shlq $0x20, %rbx ; \ + addq %rcx, %r8 ; \ + sbbq $0x0, %rbx ; \ + subq %rbx, %r9 ; \ + sbbq $0x0, %r10 ; \ + sbbq %rax, %r11 ; \ + sbbq %rdx, %rcx ; \ + decq %rcx; \ + movl $0xffffffff, %eax ; \ + andq %rcx, %rax ; \ + xorl %edx, %edx ; \ + subq %rax, %rdx ; \ + addq %rcx, %r8 ; \ + movq %r8, P0 ; \ + adcq %rax, %r9 ; \ + movq %r9, 0x8+P0 ; \ + adcq $0x0, %r10 ; \ + movq %r10, 0x10+P0 ; \ + adcq %rdx, %r11 ; \ + movq %r11, 0x18+P0 + +S2N_BN_SYMBOL(p256_montjdouble_alt): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi +#endif + +// Save registers and make room on stack for temporary variables + + CFI_PUSH(%rbx) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + + CFI_DEC_RSP(NSPACE) + +// Main code, just a sequence of basic field operations + +// z2 = z^2 +// y2 = y^2 + + montsqr_p256(z2,z_1) + montsqr_p256(y2,y_1) + +// x2p = x^2 - z^4 = (x + z^2) * (x - z^2) + + sub_p256(t2,x_1,z2) + weakadd_p256(t1,x_1,z2) + montmul_p256(x2p,t1,t2) + +// t1 = y + z +// xy2 = x * y^2 +// x4p = x2p^2 + + add_p256(t1,y_1,z_1) + montmul_p256(xy2,x_1,y2) + montsqr_p256(x4p,x2p) + +// t1 = (y + z)^2 + + montsqr_p256(t1,t1) + +// d = 12 * xy2 - 9 * x4p +// t1 = y^2 + 2 * y * z + + cmsub_p256(d,12,xy2,9,x4p) + sub_p256(t1,t1,z2) + +// y4 = y^4 + + montsqr_p256(y4,y2) + +// dx2 = d * x2p + + montmul_p256(dx2,d,x2p) + +// z_3' = 2 * y * z + + sub_p256(z_3,t1,y2) + +// x' = 4 * xy2 - d + + cmsub41_p256(x_3,xy2,d) + +// y' = 3 * dx2 - 8 * y4 + + cmsub38_p256(y_3,dx2,y4) + +// Restore stack and registers + + CFI_INC_RSP(NSPACE) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbx) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p256_montjdouble_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/x86_att/p256_montjmixadd.S b/cbits/s2n/x86_att/p256_montjmixadd.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/p256_montjmixadd.S @@ -0,0 +1,567 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Point mixed addition on NIST curve P-256 in Montgomery-Jacobian coordinates +// +// extern void p256_montjmixadd(uint64_t p3[static 12], +// const uint64_t p1[static 12], +// const uint64_t p2[static 8]); +// +// Does p3 := p1 + p2 where all points are regarded as Jacobian triples with +// each coordinate in the Montgomery domain, i.e. x' = (2^256 * x) mod p_256. +// A Jacobian triple (x',y',z') represents affine point (x/z^2,y/z^3). +// The "mixed" part means that p2 only has x and y coordinates, with the +// implicit z coordinate assumed to be the identity. +// +// Standard x86-64 ABI: RDI = p3, RSI = p1, RDX = p2 +// Microsoft x64 ABI: RCX = p3, RDX = p1, R8 = p2 +// ---------------------------------------------------------------------------- +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p256_montjmixadd) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p256_montjmixadd) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p256_montjmixadd) + .text + +// Size of individual field elements + +#define NUMSIZE 32 + +// Pointer-offset pairs for inputs and outputs. +// These assume %rdi = p3, %rsi = p1 and %rbp = p2, +// which needs to be set up explicitly before use. +// The first two hold initially, and the second is +// set up by copying the initial %rdx input to %rbp. +// Thereafter, no code macro modifies any of them. + +#define x_1 0(%rsi) +#define y_1 NUMSIZE(%rsi) +#define z_1 (2*NUMSIZE)(%rsi) + +#define x_2 0(%rbp) +#define y_2 NUMSIZE(%rbp) + +#define x_3 0(%rdi) +#define y_3 NUMSIZE(%rdi) +#define z_3 (2*NUMSIZE)(%rdi) + +// Pointer-offset pairs for temporaries, with some aliasing. +// NSPACE is the total stack needed for all temporaries. + +#define zp2 (NUMSIZE*0)(%rsp) +#define ww (NUMSIZE*0)(%rsp) +#define resx (NUMSIZE*0)(%rsp) + +#define yd (NUMSIZE*1)(%rsp) +#define y2a (NUMSIZE*1)(%rsp) + +#define x2a (NUMSIZE*2)(%rsp) +#define zzx2 (NUMSIZE*2)(%rsp) + +#define zz (NUMSIZE*3)(%rsp) +#define t1 (NUMSIZE*3)(%rsp) + +#define t2 (NUMSIZE*4)(%rsp) +#define zzx1 (NUMSIZE*4)(%rsp) +#define resy (NUMSIZE*4)(%rsp) + +#define xd (NUMSIZE*5)(%rsp) +#define resz (NUMSIZE*5)(%rsp) + +#define NSPACE NUMSIZE*6 + +// Corresponds exactly to bignum_montmul_p256 + +#define montmul_p256(P0,P1,P2) \ + xorl %r13d, %r13d ; \ + movq P2, %rdx ; \ + mulxq P1, %r8, %r9 ; \ + mulxq 0x8+P1, %rbx, %r10 ; \ + adcq %rbx, %r9 ; \ + mulxq 0x10+P1, %rbx, %r11 ; \ + adcq %rbx, %r10 ; \ + mulxq 0x18+P1, %rbx, %r12 ; \ + adcq %rbx, %r11 ; \ + adcq %r13, %r12 ; \ + movq 0x8+P2, %rdx ; \ + xorl %r14d, %r14d ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x18+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + adcq %r14, %r13 ; \ + xorl %r15d, %r15d ; \ + movabsq $0x100000000, %rdx ; \ + mulxq %r8, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq %r9, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + notq %rdx; \ + leaq 0x2(%rdx), %rdx ; \ + mulxq %r8, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq %r9, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + adcxq %r15, %r13 ; \ + adoxq %r15, %r14 ; \ + adcq %r15, %r14 ; \ + movq 0x10+P2, %rdx ; \ + xorl %r8d, %r8d ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + adoxq %r8, %r14 ; \ + mulxq 0x18+P1, %rax, %rbx ; \ + adcq %rax, %r13 ; \ + adcq %rbx, %r14 ; \ + adcq %r8, %r15 ; \ + movq 0x18+P2, %rdx ; \ + xorl %r9d, %r9d ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + mulxq 0x10+P1, %rax, %rbx ; \ + adcxq %rax, %r13 ; \ + adoxq %rbx, %r14 ; \ + adoxq %r9, %r15 ; \ + mulxq 0x18+P1, %rax, %rbx ; \ + adcq %rax, %r14 ; \ + adcq %rbx, %r15 ; \ + adcq %r9, %r8 ; \ + xorl %r9d, %r9d ; \ + movabsq $0x100000000, %rdx ; \ + mulxq %r10, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq %r11, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + notq %rdx; \ + leaq 0x2(%rdx), %rdx ; \ + mulxq %r10, %rax, %rbx ; \ + adcxq %rax, %r13 ; \ + adoxq %rbx, %r14 ; \ + mulxq %r11, %rax, %rbx ; \ + adcxq %rax, %r14 ; \ + adoxq %rbx, %r15 ; \ + adcxq %r9, %r15 ; \ + adoxq %r9, %r8 ; \ + adcq %r9, %r8 ; \ + movl $0x1, %ecx ; \ + addq %r12, %rcx ; \ + decq %rdx; \ + adcq %r13, %rdx ; \ + decq %r9; \ + movq %r9, %rax ; \ + adcq %r14, %r9 ; \ + movl $0xfffffffe, %r11d ; \ + adcq %r15, %r11 ; \ + adcq %r8, %rax ; \ + cmovbq %rcx, %r12 ; \ + cmovbq %rdx, %r13 ; \ + cmovbq %r9, %r14 ; \ + cmovbq %r11, %r15 ; \ + movq %r12, P0 ; \ + movq %r13, 0x8+P0 ; \ + movq %r14, 0x10+P0 ; \ + movq %r15, 0x18+P0 + +// Corresponds exactly to bignum_montsqr_p256 except for +// register tweaks to avoid modifying %rbp. + +#define montsqr_p256(P0,P1) \ + movq P1, %rdx ; \ + mulxq %rdx, %r8, %r15 ; \ + mulxq 0x8+P1, %r9, %r10 ; \ + mulxq 0x18+P1, %r11, %r12 ; \ + movq 0x10+P1, %rdx ; \ + mulxq 0x18+P1, %r13, %r14 ; \ + xorl %ecx, %ecx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + movq 0x18+P1, %rdx ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + adcxq %rcx, %r13 ; \ + adoxq %rcx, %r14 ; \ + adcq %rcx, %r14 ; \ + xorl %ecx, %ecx ; \ + adcxq %r9, %r9 ; \ + adoxq %r15, %r9 ; \ + movq 0x8+P1, %rdx ; \ + mulxq %rdx, %rax, %rdx ; \ + adcxq %r10, %r10 ; \ + adoxq %rax, %r10 ; \ + adcxq %r11, %r11 ; \ + adoxq %rdx, %r11 ; \ + movq 0x10+P1, %rdx ; \ + mulxq %rdx, %rax, %rdx ; \ + adcxq %r12, %r12 ; \ + adoxq %rax, %r12 ; \ + adcxq %r13, %r13 ; \ + adoxq %rdx, %r13 ; \ + movq 0x18+P1, %rdx ; \ + mulxq %rdx, %rax, %r15 ; \ + adcxq %r14, %r14 ; \ + adoxq %rax, %r14 ; \ + adcxq %rcx, %r15 ; \ + adoxq %rcx, %r15 ; \ + xorl %ecx, %ecx ; \ + movabsq $0x100000000, %rdx ; \ + mulxq %r8, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq %r9, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + movabsq $0xffffffff00000001, %rdx ; \ + mulxq %r8, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq %r9, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + adcxq %rcx, %r13 ; \ + movl %ecx, %r9d ; \ + adoxq %rcx, %r9 ; \ + adcxq %rcx, %r9 ; \ + addq %r9, %r14 ; \ + adcq %rcx, %r15 ; \ + movl %ecx, %r8d ; \ + adcq %rcx, %r8 ; \ + xorl %ecx, %ecx ; \ + movabsq $0x100000000, %rdx ; \ + mulxq %r10, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq %r11, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + movabsq $0xffffffff00000001, %rdx ; \ + mulxq %r10, %rax, %rbx ; \ + adcxq %rax, %r13 ; \ + adoxq %rbx, %r14 ; \ + mulxq %r11, %rax, %rbx ; \ + adcxq %rax, %r14 ; \ + adoxq %rbx, %r15 ; \ + adcxq %rcx, %r15 ; \ + adoxq %rcx, %r8 ; \ + adcq %rcx, %r8 ; \ + movl $0x1, %ebx ; \ + addq %r12, %rbx ; \ + leaq -0x1(%rdx), %rdx ; \ + adcq %r13, %rdx ; \ + leaq -0x1(%rcx), %rcx ; \ + movq %rcx, %rax ; \ + adcq %r14, %rcx ; \ + movl $0xfffffffe, %r11d ; \ + adcq %r15, %r11 ; \ + adcq %r8, %rax ; \ + cmovbq %rbx, %r12 ; \ + cmovbq %rdx, %r13 ; \ + cmovbq %rcx, %r14 ; \ + cmovbq %r11, %r15 ; \ + movq %r12, P0 ; \ + movq %r13, 0x8+P0 ; \ + movq %r14, 0x10+P0 ; \ + movq %r15, 0x18+P0 + +// Almost-Montgomery variant which we use when an input to other muls +// with the other argument fully reduced (which is always safe). +// Again, the basic squaring code is tweaked to avoid modifying %rbp. + +#define amontsqr_p256(P0,P1) \ + movq P1, %rdx ; \ + mulxq %rdx, %r8, %r15 ; \ + mulxq 0x8+P1, %r9, %r10 ; \ + mulxq 0x18+P1, %r11, %r12 ; \ + movq 0x10+P1, %rdx ; \ + mulxq 0x18+P1, %r13, %r14 ; \ + xorl %ecx, %ecx ; \ + mulxq P1, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + movq 0x18+P1, %rdx ; \ + mulxq 0x8+P1, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + adcxq %rcx, %r13 ; \ + adoxq %rcx, %r14 ; \ + adcq %rcx, %r14 ; \ + xorl %ecx, %ecx ; \ + adcxq %r9, %r9 ; \ + adoxq %r15, %r9 ; \ + movq 0x8+P1, %rdx ; \ + mulxq %rdx, %rax, %rdx ; \ + adcxq %r10, %r10 ; \ + adoxq %rax, %r10 ; \ + adcxq %r11, %r11 ; \ + adoxq %rdx, %r11 ; \ + movq 0x10+P1, %rdx ; \ + mulxq %rdx, %rax, %rdx ; \ + adcxq %r12, %r12 ; \ + adoxq %rax, %r12 ; \ + adcxq %r13, %r13 ; \ + adoxq %rdx, %r13 ; \ + movq 0x18+P1, %rdx ; \ + mulxq %rdx, %rax, %r15 ; \ + adcxq %r14, %r14 ; \ + adoxq %rax, %r14 ; \ + adcxq %rcx, %r15 ; \ + adoxq %rcx, %r15 ; \ + xorl %ecx, %ecx ; \ + movabsq $0x100000000, %rdx ; \ + mulxq %r8, %rax, %rbx ; \ + adcxq %rax, %r9 ; \ + adoxq %rbx, %r10 ; \ + mulxq %r9, %rax, %rbx ; \ + adcxq %rax, %r10 ; \ + adoxq %rbx, %r11 ; \ + movabsq $0xffffffff00000001, %rdx ; \ + mulxq %r8, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq %r9, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + adcxq %rcx, %r13 ; \ + movl %ecx, %r9d ; \ + adoxq %rcx, %r9 ; \ + adcxq %rcx, %r9 ; \ + addq %r9, %r14 ; \ + adcq %rcx, %r15 ; \ + movl %ecx, %r8d ; \ + adcq %rcx, %r8 ; \ + xorl %ecx, %ecx ; \ + movabsq $0x100000000, %rdx ; \ + mulxq %r10, %rax, %rbx ; \ + adcxq %rax, %r11 ; \ + adoxq %rbx, %r12 ; \ + mulxq %r11, %rax, %rbx ; \ + adcxq %rax, %r12 ; \ + adoxq %rbx, %r13 ; \ + movabsq $0xffffffff00000001, %rdx ; \ + mulxq %r10, %rax, %rbx ; \ + adcxq %rax, %r13 ; \ + adoxq %rbx, %r14 ; \ + mulxq %r11, %rax, %rbx ; \ + adcxq %rax, %r14 ; \ + adoxq %rbx, %r15 ; \ + adcxq %rcx, %r15 ; \ + adoxq %rcx, %r8 ; \ + adcq %rcx, %r8 ; \ + movl $0x1, %r8d ; \ + leaq -0x1(%rdx), %rdx ; \ + leaq -0x1(%rcx), %rax ; \ + movl $0xfffffffe, %r11d ; \ + cmovzq %rcx, %r8 ; \ + cmovzq %rcx, %rdx ; \ + cmovzq %rcx, %rax ; \ + cmovzq %rcx, %r11 ; \ + addq %r8, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq %rax, %r14 ; \ + adcq %r11, %r15 ; \ + movq %r12, P0 ; \ + movq %r13, 0x8+P0 ; \ + movq %r14, 0x10+P0 ; \ + movq %r15, 0x18+P0 + +// Corresponds exactly to bignum_sub_p256 + +#define sub_p256(P0,P1,P2) \ + movq P1, %rax ; \ + subq P2, %rax ; \ + movq 0x8+P1, %rcx ; \ + sbbq 0x8+P2, %rcx ; \ + movq 0x10+P1, %r8 ; \ + sbbq 0x10+P2, %r8 ; \ + movq 0x18+P1, %r9 ; \ + sbbq 0x18+P2, %r9 ; \ + movl $0xffffffff, %r10d ; \ + sbbq %r11, %r11 ; \ + xorq %rdx, %rdx ; \ + andq %r11, %r10 ; \ + subq %r10, %rdx ; \ + addq %r11, %rax ; \ + movq %rax, P0 ; \ + adcq %r10, %rcx ; \ + movq %rcx, 0x8+P0 ; \ + adcq $0x0, %r8 ; \ + movq %r8, 0x10+P0 ; \ + adcq %rdx, %r9 ; \ + movq %r9, 0x18+P0 + +// Additional macros to help with final multiplexing + +#define testzero4(P) \ + movq P, %rax ; \ + movq 8+P, %rdx ; \ + orq 16+P, %rax ; \ + orq 24+P, %rdx ; \ + orq %rdx, %rax + +#define mux4(r0,r1,r2,r3,PNE,PEQ) \ + movq PNE, r0 ; \ + movq PEQ, %rax ; \ + cmovzq %rax, r0 ; \ + movq 8+PNE, r1 ; \ + movq 8+PEQ, %rax ; \ + cmovzq %rax, r1 ; \ + movq 16+PNE, r2 ; \ + movq 16+PEQ, %rax ; \ + cmovzq %rax, r2 ; \ + movq 24+PNE, r3 ; \ + movq 24+PEQ, %rax ; \ + cmovzq %rax, r3 + +#define load4(r0,r1,r2,r3,P) \ + movq P, r0 ; \ + movq 8+P, r1 ; \ + movq 16+P, r2 ; \ + movq 24+P, r3 + +#define store4(P,r0,r1,r2,r3) \ + movq r0, P ; \ + movq r1, 8+P ; \ + movq r2, 16+P ; \ + movq r3, 24+P + +S2N_BN_SYMBOL(p256_montjmixadd): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx +#endif + +// Save registers and make room on stack for temporary variables +// Put the input y in %rbp where it lasts as long as it's needed. + + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + + CFI_DEC_RSP(NSPACE) + + movq %rdx, %rbp + +// Main code, just a sequence of basic field operations +// 8 * multiply + 3 * square + 7 * subtract + + amontsqr_p256(zp2,z_1) + + montmul_p256(y2a,z_1,y_2) + montmul_p256(x2a,zp2,x_2) + montmul_p256(y2a,zp2,y2a) + + sub_p256(xd,x2a,x_1) + + sub_p256(yd,y2a,y_1) + + amontsqr_p256(zz,xd) + montsqr_p256(ww,yd) + + montmul_p256(zzx1,zz,x_1) + montmul_p256(zzx2,zz,x2a) + + sub_p256(resx,ww,zzx1) + sub_p256(t1,zzx2,zzx1) + + montmul_p256(resz,xd,z_1) + + sub_p256(resx,resx,zzx2) + + sub_p256(t2,zzx1,resx) + + montmul_p256(t1,t1,y_1) + montmul_p256(t2,yd,t2) + + sub_p256(resy,t2,t1) + +// Test if z_1 = 0 to decide if p1 = 0 (up to projective equivalence) + + testzero4(z_1) + +// Multiplex: if p1 <> 0 just copy the computed result from the staging area. +// If p1 = 0 then return the point p2 augmented with a z = 1 coordinate (in +// Montgomery form so not the simple constant 1 but rather 2^256 - p_256), +// hence giving 0 + p2 = p2 for the final result. + + mux4(%r8,%r9,%r10,%r11,resx,x_2) + mux4(%r12,%r13,%r14,%r15,resy,y_2) + + store4(x_3,%r8,%r9,%r10,%r11) + store4(y_3,%r12,%r13,%r14,%r15) + + load4(%r8,%r9,%r10,%r11,resz) + movl $1, %eax + cmovzq %rax, %r8 + movq $0xffffffff00000000, %rax + cmovzq %rax, %r9 + movq $0xffffffffffffffff, %rax + cmovzq %rax, %r10 + movl $0x00000000fffffffe, %eax + cmovzq %rax, %r11 + + store4(z_3,%r8,%r9,%r10,%r11) + +// Restore stack and registers + + CFI_INC_RSP(NSPACE) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p256_montjmixadd) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/x86_att/p256_montjmixadd_alt.S b/cbits/s2n/x86_att/p256_montjmixadd_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/p256_montjmixadd_alt.S @@ -0,0 +1,552 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Point mixed addition on NIST curve P-256 in Montgomery-Jacobian coordinates +// +// extern void p256_montjmixadd_alt(uint64_t p3[static 12], +// const uint64_t p1[static 12], +// const uint64_t p2[static 8]); +// +// Does p3 := p1 + p2 where all points are regarded as Jacobian triples with +// each coordinate in the Montgomery domain, i.e. x' = (2^256 * x) mod p_256. +// A Jacobian triple (x',y',z') represents affine point (x/z^2,y/z^3). +// The "mixed" part means that p2 only has x and y coordinates, with the +// implicit z coordinate assumed to be the identity. +// +// Standard x86-64 ABI: RDI = p3, RSI = p1, RDX = p2 +// Microsoft x64 ABI: RCX = p3, RDX = p1, R8 = p2 +// ---------------------------------------------------------------------------- +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p256_montjmixadd_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p256_montjmixadd_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p256_montjmixadd_alt) + .text + +// Size of individual field elements + +#define NUMSIZE 32 + +// Pointer-offset pairs for inputs and outputs. +// These assume %rdi = p3, %rsi = p1 and %rbp = p2, +// which needs to be set up explicitly before use. +// The first two hold initially, and the second is +// set up by copying the initial %rdx input to %rbp. +// Thereafter, no code macro modifies any of them. + +#define x_1 0(%rsi) +#define y_1 NUMSIZE(%rsi) +#define z_1 (2*NUMSIZE)(%rsi) + +#define x_2 0(%rbp) +#define y_2 NUMSIZE(%rbp) + +#define x_3 0(%rdi) +#define y_3 NUMSIZE(%rdi) +#define z_3 (2*NUMSIZE)(%rdi) + +// Pointer-offset pairs for temporaries, with some aliasing. +// NSPACE is the total stack needed for all temporaries. + +#define zp2 (NUMSIZE*0)(%rsp) +#define ww (NUMSIZE*0)(%rsp) +#define resx (NUMSIZE*0)(%rsp) + +#define yd (NUMSIZE*1)(%rsp) +#define y2a (NUMSIZE*1)(%rsp) + +#define x2a (NUMSIZE*2)(%rsp) +#define zzx2 (NUMSIZE*2)(%rsp) + +#define zz (NUMSIZE*3)(%rsp) +#define t1 (NUMSIZE*3)(%rsp) + +#define t2 (NUMSIZE*4)(%rsp) +#define zzx1 (NUMSIZE*4)(%rsp) +#define resy (NUMSIZE*4)(%rsp) + +#define xd (NUMSIZE*5)(%rsp) +#define resz (NUMSIZE*5)(%rsp) + +#define NSPACE NUMSIZE*6 + +// Corresponds exactly to bignum_montmul_p256_alt + +#define montmul_p256(P0,P1,P2) \ + movq P2, %rbx ; \ + movq P1, %rax ; \ + mulq %rbx; \ + movq %rax, %r8 ; \ + movq %rdx, %r9 ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + xorl %r10d, %r10d ; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + movq 0x10+P1, %rax ; \ + mulq %rbx; \ + xorl %r11d, %r11d ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + movq 0x18+P1, %rax ; \ + mulq %rbx; \ + xorl %r12d, %r12d ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + movq 0x8+P2, %rbx ; \ + xorl %r13d, %r13d ; \ + movq P1, %rax ; \ + mulq %rbx; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + sbbq %r14, %r14 ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + subq %r14, %rdx ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %r14, %r14 ; \ + movq 0x10+P1, %rax ; \ + mulq %rbx; \ + subq %r14, %rdx ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %r14, %r14 ; \ + movq 0x18+P1, %rax ; \ + mulq %rbx; \ + subq %r14, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + xorl %r14d, %r14d ; \ + movq $0x100000000, %rbx ; \ + movq %r8, %rax ; \ + mulq %rbx; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + sbbq %r15, %r15 ; \ + movq %r9, %rax ; \ + mulq %rbx; \ + subq %r15, %rdx ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %r15, %r15 ; \ + notq %rbx; \ + leaq 0x2(%rbx), %rbx ; \ + movq %r8, %rax ; \ + mulq %rbx; \ + subq %r15, %rdx ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %r15, %r15 ; \ + movq %r9, %rax ; \ + mulq %rbx; \ + subq %r15, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq %r14, %r14 ; \ + movq 0x10+P2, %rbx ; \ + xorl %r15d, %r15d ; \ + movq P1, %rax ; \ + mulq %rbx; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %r8, %r8 ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + subq %r8, %rdx ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %r8, %r8 ; \ + movq 0x10+P1, %rax ; \ + mulq %rbx; \ + subq %r8, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + sbbq %r8, %r8 ; \ + movq 0x18+P1, %rax ; \ + mulq %rbx; \ + subq %r8, %rdx ; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + adcq %r15, %r15 ; \ + movq 0x18+P2, %rbx ; \ + xorl %r8d, %r8d ; \ + movq P1, %rax ; \ + mulq %rbx; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %r9, %r9 ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + subq %r9, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + sbbq %r9, %r9 ; \ + movq 0x10+P1, %rax ; \ + mulq %rbx; \ + subq %r9, %rdx ; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + sbbq %r9, %r9 ; \ + movq 0x18+P1, %rax ; \ + mulq %rbx; \ + subq %r9, %rdx ; \ + addq %rax, %r14 ; \ + adcq %rdx, %r15 ; \ + adcq %r8, %r8 ; \ + xorl %r9d, %r9d ; \ + movq $0x100000000, %rbx ; \ + movq %r10, %rax ; \ + mulq %rbx; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %rcx, %rcx ; \ + movq %r11, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + sbbq %rcx, %rcx ; \ + notq %rbx; \ + leaq 0x2(%rbx), %rbx ; \ + movq %r10, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + sbbq %rcx, %rcx ; \ + movq %r11, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r14 ; \ + adcq %rdx, %r15 ; \ + adcq %r9, %r8 ; \ + movl $0x1, %ecx ; \ + addq %r12, %rcx ; \ + decq %rbx; \ + adcq %r13, %rbx ; \ + decq %r9; \ + movq %r9, %rax ; \ + adcq %r14, %r9 ; \ + movl $0xfffffffe, %r11d ; \ + adcq %r15, %r11 ; \ + adcq %r8, %rax ; \ + cmovbq %rcx, %r12 ; \ + cmovbq %rbx, %r13 ; \ + cmovbq %r9, %r14 ; \ + cmovbq %r11, %r15 ; \ + movq %r12, P0 ; \ + movq %r13, 0x8+P0 ; \ + movq %r14, 0x10+P0 ; \ + movq %r15, 0x18+P0 + +// Corresponds exactly to bignum_montsqr_p256_alt + +#define montsqr_p256(P0,P1) \ + movq P1, %rax ; \ + movq %rax, %rbx ; \ + mulq %rax; \ + movq %rax, %r8 ; \ + movq %rdx, %r15 ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + movq %rax, %r9 ; \ + movq %rdx, %r10 ; \ + movq 0x18+P1, %rax ; \ + movq %rax, %r13 ; \ + mulq %rbx; \ + movq %rax, %r11 ; \ + movq %rdx, %r12 ; \ + movq 0x10+P1, %rax ; \ + movq %rax, %rbx ; \ + mulq %r13; \ + movq %rax, %r13 ; \ + movq %rdx, %r14 ; \ + movq P1, %rax ; \ + mulq %rbx; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %rcx, %rcx ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %rcx, %rcx ; \ + movq 0x18+P1, %rbx ; \ + movq 0x8+P1, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq $0x0, %r14 ; \ + xorl %ecx, %ecx ; \ + addq %r9, %r9 ; \ + adcq %r10, %r10 ; \ + adcq %r11, %r11 ; \ + adcq %r12, %r12 ; \ + adcq %r13, %r13 ; \ + adcq %r14, %r14 ; \ + adcq %rcx, %rcx ; \ + movq 0x8+P1, %rax ; \ + mulq %rax; \ + addq %r15, %r9 ; \ + adcq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %r15, %r15 ; \ + movq 0x10+P1, %rax ; \ + mulq %rax; \ + negq %r15; \ + adcq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + sbbq %r15, %r15 ; \ + movq 0x18+P1, %rax ; \ + mulq %rax; \ + negq %r15; \ + adcq %rax, %r14 ; \ + adcq %rcx, %rdx ; \ + movq %rdx, %r15 ; \ + movq $0x100000000, %rbx ; \ + movq %r8, %rax ; \ + mulq %rbx; \ + addq %rax, %r9 ; \ + adcq %rdx, %r10 ; \ + sbbq %rcx, %rcx ; \ + movq %r9, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r10 ; \ + adcq %rdx, %r11 ; \ + sbbq %rcx, %rcx ; \ + notq %rbx; \ + leaq 0x2(%rbx), %rbx ; \ + movq %r8, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %rcx, %rcx ; \ + xorl %r8d, %r8d ; \ + movq %r9, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + adcq %r8, %r14 ; \ + adcq %r8, %r15 ; \ + adcq %r8, %r8 ; \ + movq $0x100000000, %rbx ; \ + movq %r10, %rax ; \ + mulq %rbx; \ + addq %rax, %r11 ; \ + adcq %rdx, %r12 ; \ + sbbq %rcx, %rcx ; \ + movq %r11, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r12 ; \ + adcq %rdx, %r13 ; \ + sbbq %rcx, %rcx ; \ + notq %rbx; \ + leaq 0x2(%rbx), %rbx ; \ + movq %r10, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r13 ; \ + adcq %rdx, %r14 ; \ + sbbq %rcx, %rcx ; \ + xorl %r9d, %r9d ; \ + movq %r11, %rax ; \ + mulq %rbx; \ + subq %rcx, %rdx ; \ + addq %rax, %r14 ; \ + adcq %rdx, %r15 ; \ + adcq %r9, %r8 ; \ + movl $0x1, %ecx ; \ + addq %r12, %rcx ; \ + leaq -0x1(%rbx), %rbx ; \ + adcq %r13, %rbx ; \ + leaq -0x1(%r9), %r9 ; \ + movq %r9, %rax ; \ + adcq %r14, %r9 ; \ + movl $0xfffffffe, %r11d ; \ + adcq %r15, %r11 ; \ + adcq %r8, %rax ; \ + cmovbq %rcx, %r12 ; \ + cmovbq %rbx, %r13 ; \ + cmovbq %r9, %r14 ; \ + cmovbq %r11, %r15 ; \ + movq %r12, P0 ; \ + movq %r13, 0x8+P0 ; \ + movq %r14, 0x10+P0 ; \ + movq %r15, 0x18+P0 + +// Corresponds exactly to bignum_sub_p256 + +#define sub_p256(P0,P1,P2) \ + movq P1, %rax ; \ + subq P2, %rax ; \ + movq 0x8+P1, %rcx ; \ + sbbq 0x8+P2, %rcx ; \ + movq 0x10+P1, %r8 ; \ + sbbq 0x10+P2, %r8 ; \ + movq 0x18+P1, %r9 ; \ + sbbq 0x18+P2, %r9 ; \ + movl $0xffffffff, %r10d ; \ + sbbq %r11, %r11 ; \ + xorq %rdx, %rdx ; \ + andq %r11, %r10 ; \ + subq %r10, %rdx ; \ + addq %r11, %rax ; \ + movq %rax, P0 ; \ + adcq %r10, %rcx ; \ + movq %rcx, 0x8+P0 ; \ + adcq $0x0, %r8 ; \ + movq %r8, 0x10+P0 ; \ + adcq %rdx, %r9 ; \ + movq %r9, 0x18+P0 + +// Additional macros to help with final multiplexing + +#define testzero4(P) \ + movq P, %rax ; \ + movq 8+P, %rdx ; \ + orq 16+P, %rax ; \ + orq 24+P, %rdx ; \ + orq %rdx, %rax + +#define mux4(r0,r1,r2,r3,PNE,PEQ) \ + movq PNE, r0 ; \ + movq PEQ, %rax ; \ + cmovzq %rax, r0 ; \ + movq 8+PNE, r1 ; \ + movq 8+PEQ, %rax ; \ + cmovzq %rax, r1 ; \ + movq 16+PNE, r2 ; \ + movq 16+PEQ, %rax ; \ + cmovzq %rax, r2 ; \ + movq 24+PNE, r3 ; \ + movq 24+PEQ, %rax ; \ + cmovzq %rax, r3 + +#define load4(r0,r1,r2,r3,P) \ + movq P, r0 ; \ + movq 8+P, r1 ; \ + movq 16+P, r2 ; \ + movq 24+P, r3 + +#define store4(P,r0,r1,r2,r3) \ + movq r0, P ; \ + movq r1, 8+P ; \ + movq r2, 16+P ; \ + movq r3, 24+P + +S2N_BN_SYMBOL(p256_montjmixadd_alt): + CFI_START + _CET_ENDBR + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx +#endif + +// Save registers and make room on stack for temporary variables +// Put the input y in %rbp where it lasts as long as it's needed. + + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + + CFI_DEC_RSP(NSPACE) + + movq %rdx, %rbp + +// Main code, just a sequence of basic field operations +// 8 * multiply + 3 * square + 7 * subtract + + montsqr_p256(zp2,z_1) + + montmul_p256(y2a,z_1,y_2) + montmul_p256(x2a,zp2,x_2) + montmul_p256(y2a,zp2,y2a) + + sub_p256(xd,x2a,x_1) + + sub_p256(yd,y2a,y_1) + + montsqr_p256(zz,xd) + montsqr_p256(ww,yd) + + montmul_p256(zzx1,zz,x_1) + montmul_p256(zzx2,zz,x2a) + + sub_p256(resx,ww,zzx1) + sub_p256(t1,zzx2,zzx1) + + montmul_p256(resz,xd,z_1) + + sub_p256(resx,resx,zzx2) + + sub_p256(t2,zzx1,resx) + + montmul_p256(t1,t1,y_1) + montmul_p256(t2,yd,t2) + + sub_p256(resy,t2,t1) + +// Test if z_1 = 0 to decide if p1 = 0 (up to projective equivalence) + + testzero4(z_1) + +// Multiplex: if p1 <> 0 just copy the computed result from the staging area. +// If p1 = 0 then return the point p2 augmented with a z = 1 coordinate (in +// Montgomery form so not the simple constant 1 but rather 2^256 - p_256), +// hence giving 0 + p2 = p2 for the final result. + + mux4(%r8,%r9,%r10,%r11,resx,x_2) + mux4(%r12,%r13,%r14,%r15,resy,y_2) + + store4(x_3,%r8,%r9,%r10,%r11) + store4(y_3,%r12,%r13,%r14,%r15) + + load4(%r8,%r9,%r10,%r11,resz) + movl $1, %eax + cmovzq %rax, %r8 + movq $0xffffffff00000000, %rax + cmovzq %rax, %r9 + movq $0xffffffffffffffff, %rax + cmovzq %rax, %r10 + movl $0x00000000fffffffe, %eax + cmovzq %rax, %r11 + + store4(z_3,%r8,%r9,%r10,%r11) + +// Restore stack and registers + + CFI_INC_RSP(NSPACE) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + +#if WINDOWS_ABI + CFI_POP(%rsi) + CFI_POP(%rdi) +#endif + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p256_montjmixadd_alt) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/x86_att/p256_scalarmul.S b/cbits/s2n/x86_att/p256_scalarmul.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/p256_scalarmul.S @@ -0,0 +1,6823 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Scalar multiplication for P-256 +// Input scalar[4], point[8]; output res[8] +// +// extern void p256_scalarmul +// (uint64_t res[static 8],const uint64_t scalar[static 4], +// const uint64_t point[static 8]); +// +// Given scalar = n and point = P, assumed to be on the NIST elliptic +// curve P-256, returns the point (X,Y) = n * P. The input and output +// are affine points, and in the case of the point at infinity as +// the result, (0,0) is returned. +// +// Standard x86-64 ABI: RDI = res, RSI = scalar, RDX = point +// Microsoft x64 ABI: RCX = res, RDX = scalar, R8 = point +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p256_scalarmul) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p256_scalarmul) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p256_scalarmul) + + .text + .balign 32 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Intermediate variables on the stack. The last z2, z3 values can +// safely be overlaid on the table, which is no longer needed at the end. +// Uppercase syntactic variants make x86_att version simpler to generate + +#define SCALARB (0*NUMSIZE) +#define scalarb (0*NUMSIZE)(%rsp) +#define ACC (1*NUMSIZE) +#define acc (1*NUMSIZE)(%rsp) +#define TABENT (4*NUMSIZE) +#define tabent (4*NUMSIZE)(%rsp) + +#define TAB (7*NUMSIZE) +#define tab (7*NUMSIZE)(%rsp) + +#define Z2 (7*NUMSIZE) +#define z2 (7*NUMSIZE)(%rsp) +#define Z3 (8*NUMSIZE) +#define z3 (8*NUMSIZE)(%rsp) + +#define res (31*NUMSIZE)(%rsp) + +#define NSPACE 32*NUMSIZE + +S2N_BN_SYMBOL(p256_scalarmul): + CFI_START + _CET_ENDBR + +// The Windows version literally calls the standard ABI version. +// This simplifies the proofs since subroutine offsets are fixed. + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx + CFI_CALL(Lp256_scalarmul_standard) + CFI_POP(%rsi) + CFI_POP(%rdi) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p256_scalarmul) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmul_standard) + +Lp256_scalarmul_standard: + CFI_START +#endif + +// Real start of the standard ABI code. + + CFI_PUSH(%r15) + CFI_PUSH(%r14) + CFI_PUSH(%r13) + CFI_PUSH(%r12) + CFI_PUSH(%rbp) + CFI_PUSH(%rbx) + + CFI_DEC_RSP(NSPACE) + +// Preserve the "res" and "point" input arguments. We load and process the +// scalar immediately so we don't bother preserving that input argument. +// Also, "point" is only needed early on and so its register gets re-used. + + movq %rdx, %rbx + movq %rdi, res + +// Load the digits of group order n_256 = [%r15;%r14;%r13;%r12] + + movq $0xf3b9cac2fc632551, %r12 + movq $0xbce6faada7179e84, %r13 + movq $0xffffffffffffffff, %r14 + movq $0xffffffff00000000, %r15 + +// First, reduce the input scalar mod n_256, i.e. conditionally subtract n_256 + + movq (%rsi), %r8 + subq %r12, %r8 + movq 8(%rsi), %r9 + sbbq %r13, %r9 + movq 16(%rsi), %r10 + sbbq %r14, %r10 + movq 24(%rsi), %r11 + sbbq %r15, %r11 + + cmovcq (%rsi), %r8 + cmovcq 8(%rsi), %r9 + cmovcq 16(%rsi), %r10 + cmovcq 24(%rsi), %r11 + +// Now if the top bit of the reduced scalar is set, negate it mod n_256, +// i.e. do n |-> n_256 - n. Remember the sign in %rbp so we can +// correspondingly negate the point below. + + subq %r8, %r12 + sbbq %r9, %r13 + sbbq %r10, %r14 + sbbq %r11, %r15 + + movq %r11, %rbp + shrq $63, %rbp + cmovnzq %r12, %r8 + cmovnzq %r13, %r9 + cmovnzq %r14, %r10 + cmovnzq %r15, %r11 + +// In either case then add the recoding constant 0x08888...888 to allow +// signed digits. + + movq $0x8888888888888888, %rax + addq %rax, %r8 + adcq %rax, %r9 + adcq %rax, %r10 + adcq %rax, %r11 + btc $63, %r11 + + movq %r8, SCALARB(%rsp) + movq %r9, SCALARB+8(%rsp) + movq %r10, SCALARB+16(%rsp) + movq %r11, SCALARB+24(%rsp) + +// Set the tab[0] table entry to Montgomery-Jacobian point = 1 * P +// The z coordinate is just the Montgomery form of the constant 1. + + leaq TAB(%rsp), %rdi + movq %rbx, %rsi + CFI_CALL(Lp256_scalarmul_local_tomont_p256) + + leaq 32(%rbx), %rsi + leaq TAB+32(%rsp), %rdi + CFI_CALL(Lp256_scalarmul_local_tomont_p256) + + movl $1, %eax + movq %rax, TAB+64(%rsp) + movq $0xffffffff00000000, %rdx + movq %rdx, TAB+72(%rsp) + subq $2, %rax + movq %rax, TAB+80(%rsp) + movq $0x00000000fffffffe, %rax + movq %rax, TAB+88(%rsp) + +// If the top bit of the scalar was set, negate (y coordinate of) the point + + movq TAB+32(%rsp), %r12 + movq TAB+40(%rsp), %r13 + movq TAB+48(%rsp), %r14 + movq TAB+56(%rsp), %r15 + + xorl %r10d, %r10d + leaq -1(%r10), %r8 + movq $0x00000000ffffffff, %r11 + movq %r11, %r9 + negq %r11 + + subq %r12, %r8 + sbbq %r13, %r9 + sbbq %r14, %r10 + sbbq %r15, %r11 + + testq %rbp, %rbp + cmovzq %r12, %r8 + cmovzq %r13, %r9 + cmovzq %r14, %r10 + cmovzq %r15, %r11 + + movq %r8, TAB+32(%rsp) + movq %r9, TAB+40(%rsp) + movq %r10, TAB+48(%rsp) + movq %r11, TAB+56(%rsp) + +// Compute and record tab[1] = 2 * p, ..., tab[7] = 8 * P + + leaq TAB+96*1(%rsp), %rdi + leaq TAB(%rsp), %rsi + CFI_CALL(Lp256_scalarmul_local_p256_montjdouble) + + leaq TAB+96*2(%rsp), %rdi + leaq TAB+96*1(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp256_scalarmul_local_p256_montjmixadd) + + leaq TAB+96*3(%rsp), %rdi + leaq TAB+96*1(%rsp), %rsi + CFI_CALL(Lp256_scalarmul_local_p256_montjdouble) + + leaq TAB+96*4(%rsp), %rdi + leaq TAB+96*3(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp256_scalarmul_local_p256_montjmixadd) + + leaq TAB+96*5(%rsp), %rdi + leaq TAB+96*2(%rsp), %rsi + CFI_CALL(Lp256_scalarmul_local_p256_montjdouble) + + leaq TAB+96*6(%rsp), %rdi + leaq TAB+96*5(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp256_scalarmul_local_p256_montjmixadd) + + leaq TAB+96*7(%rsp), %rdi + leaq TAB+96*3(%rsp), %rsi + CFI_CALL(Lp256_scalarmul_local_p256_montjdouble) + +// Set up accumulator as table entry for top 4 bits (constant-time indexing) + + movq SCALARB+24(%rsp), %rdi + shrq $60, %rdi + + xorl %eax, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + xorl %r8d, %r8d + xorl %r9d, %r9d + xorl %r10d, %r10d + xorl %r11d, %r11d + xorl %r12d, %r12d + xorl %r13d, %r13d + xorl %r14d, %r14d + xorl %r15d, %r15d + + .set I, 1 +.rep 8 + cmpq $I, %rdi + + cmovzq TAB+96*(I-1)(%rsp), %rax + cmovzq TAB+96*(I-1)+8(%rsp), %rbx + cmovzq TAB+96*(I-1)+16(%rsp), %rcx + cmovzq TAB+96*(I-1)+24(%rsp), %rdx + cmovzq TAB+96*(I-1)+32(%rsp), %r8 + cmovzq TAB+96*(I-1)+40(%rsp), %r9 + cmovzq TAB+96*(I-1)+48(%rsp), %r10 + cmovzq TAB+96*(I-1)+56(%rsp), %r11 + cmovzq TAB+96*(I-1)+64(%rsp), %r12 + cmovzq TAB+96*(I-1)+72(%rsp), %r13 + cmovzq TAB+96*(I-1)+80(%rsp), %r14 + cmovzq TAB+96*(I-1)+88(%rsp), %r15 + .set I, (I+1) +.endr + movq %rax, ACC(%rsp) + movq %rbx, ACC+8(%rsp) + movq %rcx, ACC+16(%rsp) + movq %rdx, ACC+24(%rsp) + movq %r8, ACC+32(%rsp) + movq %r9, ACC+40(%rsp) + movq %r10, ACC+48(%rsp) + movq %r11, ACC+56(%rsp) + movq %r12, ACC+64(%rsp) + movq %r13, ACC+72(%rsp) + movq %r14, ACC+80(%rsp) + movq %r15, ACC+88(%rsp) + +// Main loop over size-4 bitfield + + movl $252, %ebp + +Lp256_scalarmul_loop: + subq $4, %rbp + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp256_scalarmul_local_p256_montjdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp256_scalarmul_local_p256_montjdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp256_scalarmul_local_p256_montjdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp256_scalarmul_local_p256_montjdouble) + + movq %rbp, %rax + shrq $6, %rax + movq (%rsp,%rax,8), %rdi + movq %rbp, %rcx + shrq %cl, %rdi + andq $15, %rdi + + subq $8, %rdi + sbbq %rsi, %rsi // %rsi = sign of digit (-1 = negative) + xorq %rsi, %rdi + subq %rsi, %rdi // %rdi = absolute value of digit + + xorl %eax, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + xorl %r8d, %r8d + xorl %r9d, %r9d + xorl %r10d, %r10d + xorl %r11d, %r11d + xorl %r12d, %r12d + xorl %r13d, %r13d + xorl %r14d, %r14d + xorl %r15d, %r15d + + .set I, 1 +.rep 8 + cmpq $I, %rdi + + cmovzq TAB+96*(I-1)(%rsp), %rax + cmovzq TAB+96*(I-1)+8(%rsp), %rbx + cmovzq TAB+96*(I-1)+16(%rsp), %rcx + cmovzq TAB+96*(I-1)+24(%rsp), %rdx + cmovzq TAB+96*(I-1)+32(%rsp), %r8 + cmovzq TAB+96*(I-1)+40(%rsp), %r9 + cmovzq TAB+96*(I-1)+48(%rsp), %r10 + cmovzq TAB+96*(I-1)+56(%rsp), %r11 + cmovzq TAB+96*(I-1)+64(%rsp), %r12 + cmovzq TAB+96*(I-1)+72(%rsp), %r13 + cmovzq TAB+96*(I-1)+80(%rsp), %r14 + cmovzq TAB+96*(I-1)+88(%rsp), %r15 + .set I, (I+1) +.endr + + movq %r12, TABENT+64(%rsp) + movq %r13, TABENT+72(%rsp) + movq %r14, TABENT+80(%rsp) + movq %r15, TABENT+88(%rsp) + + xorl %r14d, %r14d + leaq -1(%r14), %r12 + movq $0x00000000ffffffff, %r15 + movq %r15, %r13 + negq %r15 + + subq %r8, %r12 + sbbq %r9, %r13 + sbbq %r10, %r14 + sbbq %r11, %r15 + + testq %rsi, %rsi + cmovnzq %r12, %r8 + cmovnzq %r13, %r9 + cmovnzq %r14, %r10 + cmovnzq %r15, %r11 + + movq %rax, TABENT(%rsp) + movq %rbx, TABENT+8(%rsp) + movq %rcx, TABENT+16(%rsp) + movq %rdx, TABENT+24(%rsp) + + movq %r8, TABENT+32(%rsp) + movq %r9, TABENT+40(%rsp) + movq %r10, TABENT+48(%rsp) + movq %r11, TABENT+56(%rsp) + + leaq TABENT(%rsp), %rdx + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp256_scalarmul_local_p256_montjadd) + + testq %rbp, %rbp + jne Lp256_scalarmul_loop + +// Let z2 = 1/z^2 and z3 = 1/z^3, both without Montgomery form + + leaq Z2(%rsp), %rdi + leaq ACC+64(%rsp), %rsi + CFI_CALL(Lp256_scalarmul_local_montsqr_p256) + + leaq Z3(%rsp), %rdi + leaq ACC+64(%rsp), %rsi + leaq Z2(%rsp), %rdx + CFI_CALL(Lp256_scalarmul_local_montmul_p256) + + leaq Z2(%rsp), %rdi + leaq Z3(%rsp), %rsi + CFI_CALL(Lp256_scalarmul_local_demont_p256) + + leaq Z3(%rsp), %rdi + leaq Z2(%rsp), %rsi + CFI_CALL(Lp256_scalarmul_local_inv_p256) + + leaq Z2(%rsp), %rdi + leaq ACC+64(%rsp), %rsi + leaq Z3(%rsp), %rdx + CFI_CALL(Lp256_scalarmul_local_montmul_p256) + +// Convert back from Jacobian (X, Y, Z) |-> (X/Z^2, Y/Z^3) + + movq res, %rdi + leaq ACC(%rsp), %rsi + leaq Z2(%rsp), %rdx + movq %rdi, %rbx + CFI_CALL(Lp256_scalarmul_local_montmul_p256) + + leaq 32(%rbx), %rdi + leaq ACC+32(%rsp), %rsi + leaq Z3(%rsp), %rdx + CFI_CALL(Lp256_scalarmul_local_montmul_p256) + +// Restore stack and registers and return + + CFI_INC_RSP(NSPACE) + CFI_POP(%rbx) + CFI_POP(%rbp) + CFI_POP(%r12) + CFI_POP(%r13) + CFI_POP(%r14) + CFI_POP(%r15) + CFI_RET + +#if WINDOWS_ABI +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmul_standard) +#else +S2N_BN_SIZE_DIRECTIVE(p256_scalarmul) +#endif + +// Local copies of subroutines, complete clones at the moment + +Lp256_scalarmul_local_demont_p256: + CFI_START + CFI_PUSH(%rbx) + movq (%rsi), %r8 + movq 0x8(%rsi), %r9 + movq 0x10(%rsi), %r10 + movq 0x18(%rsi), %r11 + xorq %rbx, %rbx + xorq %rsi, %rsi + movq $0x100000000, %rdx + mulxq %r8, %rax, %rcx + adcxq %rax, %r9 + adoxq %rcx, %r10 + mulxq %r9, %rax, %rcx + adcxq %rax, %r10 + adoxq %rcx, %r11 + movq $0xffffffff00000001, %rdx + mulxq %r8, %rax, %rcx + adcxq %rax, %r11 + adoxq %rcx, %rbx + mulxq %r9, %rax, %rcx + adcxq %rax, %rbx + adoxq %rcx, %rsi + movl $0x0, %r8d + adcxq %r8, %rsi + xorq %r9, %r9 + movq $0x100000000, %rdx + mulxq %r10, %rax, %rcx + adcxq %rax, %r11 + adoxq %rcx, %rbx + mulxq %r11, %rax, %rcx + adcxq %rax, %rbx + adoxq %rcx, %rsi + movq $0xffffffff00000001, %rdx + mulxq %r10, %rax, %rcx + adcxq %rax, %rsi + adoxq %rcx, %r8 + mulxq %r11, %rax, %rcx + adcxq %rax, %r8 + adoxq %rcx, %r9 + movl $0x0, %r10d + adcxq %r10, %r9 + movq %rbx, (%rdi) + movq %rsi, 0x8(%rdi) + movq %r8, 0x10(%rdi) + movq %r9, 0x18(%rdi) + CFI_POP(%rbx) + CFI_RET + +Lp256_scalarmul_local_inv_p256: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(240) + movq %rdi, 0xe0(%rsp) + xorl %ecx, %ecx + movl $0xffffffff, %edx + movq %rdx, %rbx + leaq -0x1(%rcx), %rax + negq %rdx + movq %rax, (%rsp) + movq %rbx, 0x8(%rsp) + movq %rcx, 0x10(%rsp) + movq %rdx, 0x18(%rsp) + movq %rcx, 0x20(%rsp) + movq (%rsi), %r8 + movq 0x8(%rsi), %r9 + movq 0x10(%rsi), %r10 + movq 0x18(%rsi), %r11 + leaq 0x1(%rcx), %rax + addq %r8, %rax + leaq -0x1(%rdx), %rbx + adcq %r9, %rbx + notq %rcx + adcq %r10, %rcx + notq %rdx + adcq %r11, %rdx + cmovaeq %r8, %rax + cmovaeq %r9, %rbx + cmovaeq %r10, %rcx + cmovaeq %r11, %rdx + movq %rax, 0x28(%rsp) + movq %rbx, 0x30(%rsp) + movq %rcx, 0x38(%rsp) + movq %rdx, 0x40(%rsp) + xorl %eax, %eax + movq %rax, 0x48(%rsp) + xorl %eax, %eax + movq %rax, 0x50(%rsp) + movq %rax, 0x58(%rsp) + movq %rax, 0x60(%rsp) + movq %rax, 0x68(%rsp) + movq $0x4000000000000, %rcx + movq %rcx, 0x78(%rsp) + movq %rax, 0x80(%rsp) + movq %rax, 0x88(%rsp) + movq %rax, 0x90(%rsp) + movq $0xa, 0xb0(%rsp) + movq $0x1, 0xb8(%rsp) + jmp Lp256_scalarmul_inv_midloop +Lp256_scalarmul_inv_loop: + movq %r8, %r9 + sarq $0x3f, %r9 + xorq %r9, %r8 + subq %r9, %r8 + movq %r10, %r11 + sarq $0x3f, %r11 + xorq %r11, %r10 + subq %r11, %r10 + movq %r12, %r13 + sarq $0x3f, %r13 + xorq %r13, %r12 + subq %r13, %r12 + movq %r14, %r15 + sarq $0x3f, %r15 + xorq %r15, %r14 + subq %r15, %r14 + movq %r8, %rax + andq %r9, %rax + movq %r10, %rdi + andq %r11, %rdi + addq %rax, %rdi + movq %rdi, 0xa0(%rsp) + movq %r12, %rax + andq %r13, %rax + movq %r14, %rsi + andq %r15, %rsi + addq %rax, %rsi + movq %rsi, 0xa8(%rsp) + xorl %ebx, %ebx + movq (%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rdi + adcq %rdx, %rbx + movq 0x28(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rdi + adcq %rdx, %rbx + xorl %ebp, %ebp + movq (%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x28(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + xorl %ecx, %ecx + movq 0x8(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x30(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + shrdq $0x3b, %rbx, %rdi + movq %rdi, (%rsp) + xorl %edi, %edi + movq 0x8(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rbp + adcq %rdx, %rdi + movq 0x30(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rdi + shrdq $0x3b, %rbp, %rsi + movq %rsi, 0x28(%rsp) + xorl %esi, %esi + movq 0x10(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rsi + movq 0x38(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rsi + shrdq $0x3b, %rcx, %rbx + movq %rbx, 0x8(%rsp) + xorl %ebx, %ebx + movq 0x10(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rdi + adcq %rdx, %rbx + movq 0x38(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rdi + adcq %rdx, %rbx + shrdq $0x3b, %rdi, %rbp + movq %rbp, 0x30(%rsp) + movq 0x18(%rsp), %rax + xorq %r9, %rax + movq 0x20(%rsp), %rbp + xorq %r9, %rbp + andq %r8, %rbp + negq %rbp + mulq %r8 + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x40(%rsp), %rax + xorq %r11, %rax + movq 0x48(%rsp), %rdx + xorq %r11, %rdx + andq %r10, %rdx + subq %rdx, %rbp + mulq %r10 + addq %rax, %rsi + adcq %rdx, %rbp + shrdq $0x3b, %rsi, %rcx + movq %rcx, 0x10(%rsp) + shrdq $0x3b, %rbp, %rsi + sarq $0x3b, %rbp + movq 0x18(%rsp), %rax + movq %rsi, 0x18(%rsp) + movq 0x20(%rsp), %rsi + movq %rbp, 0x20(%rsp) + xorq %r13, %rax + xorq %r13, %rsi + andq %r12, %rsi + negq %rsi + mulq %r12 + addq %rax, %rbx + adcq %rdx, %rsi + movq 0x40(%rsp), %rax + xorq %r15, %rax + movq 0x48(%rsp), %rdx + xorq %r15, %rdx + andq %r14, %rdx + subq %rdx, %rsi + mulq %r14 + addq %rax, %rbx + adcq %rdx, %rsi + shrdq $0x3b, %rbx, %rdi + movq %rdi, 0x38(%rsp) + shrdq $0x3b, %rsi, %rbx + movq %rbx, 0x40(%rsp) + sarq $0x3b, %rsi + movq %rsi, 0x48(%rsp) + movq 0xa0(%rsp), %rbx + movq 0xa8(%rsp), %rbp + xorl %ecx, %ecx + movq 0x50(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x78(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + xorl %esi, %esi + movq 0x50(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, 0x50(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq 0x78(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, 0x78(%rsp) + xorl %ebx, %ebx + movq 0x58(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq 0x80(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rbx + xorl %ebp, %ebp + movq 0x58(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rcx, 0x58(%rsp) + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x80(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + movq %rsi, 0x80(%rsp) + xorl %ecx, %ecx + movq 0x60(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x88(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + xorl %esi, %esi + movq 0x60(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, 0x60(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq 0x88(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, 0x88(%rsp) + movq 0x68(%rsp), %rax + xorq %r9, %rax + movq %r9, %rbx + andq %r8, %rbx + negq %rbx + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq 0x90(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %rbx + mulq %r10 + addq %rax, %rcx + adcq %rbx, %rdx + movq 0x68(%rsp), %rax + movq %rcx, 0x68(%rsp) + movq %rdx, 0x70(%rsp) + xorq %r13, %rax + movq %r13, %rcx + andq %r12, %rcx + negq %rcx + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rcx + movq 0x90(%rsp), %rax + xorq %r15, %rax + movq %r15, %rdx + andq %r14, %rdx + subq %rdx, %rcx + mulq %r14 + addq %rax, %rsi + adcq %rcx, %rdx + movq %rsi, 0x90(%rsp) + movq %rdx, 0x98(%rsp) + movq $0xe000000000000000, %r8 + addq 0x50(%rsp), %r8 + movq $0xffffffffffffffff, %r9 + adcq 0x58(%rsp), %r9 + movq $0x1fffffff, %r10 + adcq 0x60(%rsp), %r10 + movq $0x2000000000000000, %r11 + adcq 0x68(%rsp), %r11 + movq $0x1fffffffe0000000, %r12 + adcq 0x70(%rsp), %r12 + movq %r8, %rbx + shlq $0x20, %rbx + movq $0xffffffff00000001, %rax + mulq %r8 + shrq $0x20, %r8 + addq %rbx, %r9 + adcq %r8, %r10 + adcq %rax, %r11 + adcq %rdx, %r12 + sbbq %rax, %rax + movl $0xffffffff, %ebx + andq %rax, %rbx + movq $0xffffffff00000001, %rdx + andq %rax, %rdx + subq %rax, %r9 + movq %r9, 0x50(%rsp) + sbbq %rbx, %r10 + movq %r10, 0x58(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x60(%rsp) + sbbq %rdx, %r12 + movq %r12, 0x68(%rsp) + movq $0xe000000000000000, %r8 + addq 0x78(%rsp), %r8 + movq $0xffffffffffffffff, %r9 + adcq 0x80(%rsp), %r9 + movq $0x1fffffff, %r10 + adcq 0x88(%rsp), %r10 + movq $0x2000000000000000, %r11 + adcq 0x90(%rsp), %r11 + movq $0x1fffffffe0000000, %r12 + adcq 0x98(%rsp), %r12 + movq %r8, %rbx + shlq $0x20, %rbx + movq $0xffffffff00000001, %rax + mulq %r8 + shrq $0x20, %r8 + addq %rbx, %r9 + adcq %r8, %r10 + adcq %rax, %r11 + adcq %rdx, %r12 + sbbq %rax, %rax + movl $0xffffffff, %ebx + andq %rax, %rbx + movq $0xffffffff00000001, %rdx + andq %rax, %rdx + subq %rax, %r9 + movq %r9, 0x78(%rsp) + sbbq %rbx, %r10 + movq %r10, 0x80(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x88(%rsp) + sbbq %rdx, %r12 + movq %r12, 0x90(%rsp) +Lp256_scalarmul_inv_midloop: + movq 0xb8(%rsp), %rsi + movq (%rsp), %rdx + movq 0x28(%rsp), %rcx + movq %rdx, %rbx + andq $0xfffff, %rbx + movq $0xfffffe0000000000, %rax + orq %rax, %rbx + andq $0xfffff, %rcx + movq $0xc000000000000000, %rax + orq %rax, %rcx + movq $0xfffffffffffffffe, %rax + xorl %ebp, %ebp + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %rdx + leaq (%rcx,%rax), %rdi + shlq $0x16, %rdx + shlq $0x16, %rdi + sarq $0x2b, %rdx + sarq $0x2b, %rdi + movq $0x20000100000, %rax + leaq (%rbx,%rax), %rbx + leaq (%rcx,%rax), %rcx + sarq $0x2a, %rbx + sarq $0x2a, %rcx + movq %rdx, 0xc0(%rsp) + movq %rbx, 0xc8(%rsp) + movq %rdi, 0xd0(%rsp) + movq %rcx, 0xd8(%rsp) + movq (%rsp), %r12 + imulq %r12, %rdi + imulq %rdx, %r12 + movq 0x28(%rsp), %r13 + imulq %r13, %rbx + imulq %rcx, %r13 + addq %rbx, %r12 + addq %rdi, %r13 + sarq $0x14, %r12 + sarq $0x14, %r13 + movq %r12, %rbx + andq $0xfffff, %rbx + movq $0xfffffe0000000000, %rax + orq %rax, %rbx + movq %r13, %rcx + andq $0xfffff, %rcx + movq $0xc000000000000000, %rax + orq %rax, %rcx + movq $0xfffffffffffffffe, %rax + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %r8 + leaq (%rcx,%rax), %r10 + shlq $0x16, %r8 + shlq $0x16, %r10 + sarq $0x2b, %r8 + sarq $0x2b, %r10 + movq $0x20000100000, %rax + leaq (%rbx,%rax), %r15 + leaq (%rcx,%rax), %r11 + sarq $0x2a, %r15 + sarq $0x2a, %r11 + movq %r13, %rbx + movq %r12, %rcx + imulq %r8, %r12 + imulq %r15, %rbx + addq %rbx, %r12 + imulq %r11, %r13 + imulq %r10, %rcx + addq %rcx, %r13 + sarq $0x14, %r12 + sarq $0x14, %r13 + movq %r12, %rbx + andq $0xfffff, %rbx + movq $0xfffffe0000000000, %rax + orq %rax, %rbx + movq %r13, %rcx + andq $0xfffff, %rcx + movq $0xc000000000000000, %rax + orq %rax, %rcx + movq 0xc0(%rsp), %rax + imulq %r8, %rax + movq 0xd0(%rsp), %rdx + imulq %r15, %rdx + imulq 0xc8(%rsp), %r8 + imulq 0xd8(%rsp), %r15 + addq %r8, %r15 + leaq (%rax,%rdx), %r9 + movq 0xc0(%rsp), %rax + imulq %r10, %rax + movq 0xd0(%rsp), %rdx + imulq %r11, %rdx + imulq 0xc8(%rsp), %r10 + imulq 0xd8(%rsp), %r11 + addq %r10, %r11 + leaq (%rax,%rdx), %r13 + movq $0xfffffffffffffffe, %rax + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %r8 + leaq (%rcx,%rax), %r12 + shlq $0x15, %r8 + shlq $0x15, %r12 + sarq $0x2b, %r8 + sarq $0x2b, %r12 + movq $0x20000100000, %rax + leaq (%rbx,%rax), %r10 + leaq (%rcx,%rax), %r14 + sarq $0x2b, %r10 + sarq $0x2b, %r14 + movq %r9, %rax + imulq %r8, %rax + movq %r13, %rdx + imulq %r10, %rdx + imulq %r15, %r8 + imulq %r11, %r10 + addq %r8, %r10 + leaq (%rax,%rdx), %r8 + movq %r9, %rax + imulq %r12, %rax + movq %r13, %rdx + imulq %r14, %rdx + imulq %r15, %r12 + imulq %r11, %r14 + addq %r12, %r14 + leaq (%rax,%rdx), %r12 + movq %rsi, 0xb8(%rsp) + decq 0xb0(%rsp) + jne Lp256_scalarmul_inv_loop + movq (%rsp), %rax + movq 0x28(%rsp), %rcx + imulq %r8, %rax + imulq %r10, %rcx + addq %rcx, %rax + sarq $0x3f, %rax + movq %r8, %r9 + sarq $0x3f, %r9 + xorq %r9, %r8 + subq %r9, %r8 + xorq %rax, %r9 + movq %r10, %r11 + sarq $0x3f, %r11 + xorq %r11, %r10 + subq %r11, %r10 + xorq %rax, %r11 + movq %r12, %r13 + sarq $0x3f, %r13 + xorq %r13, %r12 + subq %r13, %r12 + xorq %rax, %r13 + movq %r14, %r15 + sarq $0x3f, %r15 + xorq %r15, %r14 + subq %r15, %r14 + xorq %rax, %r15 + movq %r8, %rax + andq %r9, %rax + movq %r10, %r12 + andq %r11, %r12 + addq %rax, %r12 + xorl %r13d, %r13d + movq 0x50(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x78(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movq 0x58(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r13 + adcq %rdx, %r14 + movq 0x80(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq 0x60(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x88(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x68(%rsp), %rax + xorq %r9, %rax + andq %r8, %r9 + negq %r9 + mulq %r8 + addq %rax, %r15 + adcq %rdx, %r9 + movq 0x90(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %r9 + mulq %r10 + addq %rax, %r15 + adcq %rdx, %r9 + movq %r12, 0x50(%rsp) + movq %r13, 0x58(%rsp) + movq %r14, 0x60(%rsp) + movq %r15, 0x68(%rsp) + movq %r9, 0x70(%rsp) + movq $0xe000000000000000, %r8 + addq 0x50(%rsp), %r8 + movq $0xffffffffffffffff, %r9 + adcq 0x58(%rsp), %r9 + movq $0x1fffffff, %r10 + adcq 0x60(%rsp), %r10 + movq $0x2000000000000000, %r11 + adcq 0x68(%rsp), %r11 + movq $0x1fffffffe0000000, %r12 + adcq 0x70(%rsp), %r12 + movq %r8, %rbx + shlq $0x20, %rbx + movq $0xffffffff00000001, %rax + mulq %r8 + shrq $0x20, %r8 + addq %rbx, %r9 + adcq %r8, %r10 + adcq %rax, %r11 + adcq %rdx, %r12 + sbbq %rax, %rax + movl $0xffffffff, %ebx + andq %rax, %rbx + movq $0xffffffff00000001, %rdx + andq %rax, %rdx + subq %rax, %r9 + movq %r9, 0x50(%rsp) + sbbq %rbx, %r10 + movq %r10, 0x58(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x60(%rsp) + sbbq %rdx, %r12 + movq %r12, 0x68(%rsp) + movq 0x50(%rsp), %r8 + movq 0x58(%rsp), %r9 + movq 0x60(%rsp), %r10 + movq 0x68(%rsp), %r11 + movl $0x1, %eax + movl $0xffffffff, %ebx + leaq -0x2(%rax), %rcx + leaq -0x1(%rbx), %rdx + notq %rbx + addq %r8, %rax + adcq %r9, %rbx + adcq %r10, %rcx + adcq %r11, %rdx + cmovaeq %r8, %rax + cmovaeq %r9, %rbx + cmovaeq %r10, %rcx + cmovaeq %r11, %rdx + movq 0xe0(%rsp), %rdi + movq %rax, (%rdi) + movq %rbx, 0x8(%rdi) + movq %rcx, 0x10(%rdi) + movq %rdx, 0x18(%rdi) + CFI_INC_RSP(240) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +Lp256_scalarmul_local_montmul_p256: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + movq %rdx, %rcx + xorl %r13d, %r13d + movq (%rcx), %rdx + mulxq (%rsi), %r8, %r9 + mulxq 0x8(%rsi), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x10(%rsi), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x18(%rsi), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x8(%rcx), %rdx + xorl %r14d, %r14d + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x10(%rcx), %rdx + xorl %r8d, %r8d + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x18(%rsi), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x18(%rcx), %rdx + xorl %r9d, %r9d + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x18(%rsi), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, (%rdi) + movq %r13, 0x8(%rdi) + movq %r14, 0x10(%rdi) + movq %r15, 0x18(%rdi) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbx) + CFI_RET + +Lp256_scalarmul_local_montsqr_p256: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + movq (%rsi), %rdx + mulxq %rdx, %r8, %r15 + mulxq 0x8(%rsi), %r9, %r10 + mulxq 0x18(%rsi), %r11, %r12 + movq 0x10(%rsi), %rdx + mulxq 0x18(%rsi), %r13, %r14 + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x18(%rsi), %rdx + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rbp, %r13 + adoxq %rbp, %r14 + adcq %rbp, %r14 + xorl %ebp, %ebp + adcxq %r9, %r9 + adoxq %r15, %r9 + movq 0x8(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x10(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x18(%rsi), %rdx + mulxq %rdx, %rax, %r15 + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %rbp, %r15 + adoxq %rbp, %r15 + xorl %ebp, %ebp + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq $0xffffffff00000001, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rbp, %r13 + movl %ebp, %r9d + adoxq %rbp, %r9 + adcxq %rbp, %r9 + addq %r9, %r14 + adcq %rbp, %r15 + movl %ebp, %r8d + adcq %rbp, %r8 + xorl %ebp, %ebp + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq $0xffffffff00000001, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rbp, %r15 + adoxq %rbp, %r8 + adcq %rbp, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rdx), %rdx + adcq %r13, %rdx + leaq -0x1(%rbp), %rbp + movq %rbp, %rax + adcq %r14, %rbp + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %rbp, %r14 + cmovbq %r11, %r15 + movq %r12, (%rdi) + movq %r13, 0x8(%rdi) + movq %r14, 0x10(%rdi) + movq %r15, 0x18(%rdi) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +Lp256_scalarmul_local_tomont_p256: + CFI_START + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + xorq %r13, %r13 + movl $0x3, %edx + mulxq (%rsi), %r8, %r9 + mulxq 0x8(%rsi), %rcx, %r10 + adcxq %rcx, %r9 + mulxq 0x10(%rsi), %rcx, %r11 + adcxq %rcx, %r10 + mulxq 0x18(%rsi), %rcx, %r12 + adcxq %rcx, %r11 + adcxq %r13, %r12 + movq $0xfffffffbffffffff, %rdx + xorq %r14, %r14 + mulxq (%rsi), %rax, %rcx + adcxq %rax, %r9 + adoxq %rcx, %r10 + mulxq 0x8(%rsi), %rax, %rcx + adcxq %rax, %r10 + adoxq %rcx, %r11 + mulxq 0x10(%rsi), %rax, %rcx + adcxq %rax, %r11 + adoxq %rcx, %r12 + mulxq 0x18(%rsi), %rax, %rcx + adcxq %rax, %r12 + adoxq %rcx, %r13 + adcq %r14, %r13 + xorq %r15, %r15 + movq $0x100000000, %rdx + mulxq %r8, %rax, %rcx + adcxq %rax, %r9 + adoxq %rcx, %r10 + mulxq %r9, %rax, %rcx + adcxq %rax, %r10 + adoxq %rcx, %r11 + movq $0xffffffff00000001, %rdx + mulxq %r8, %rax, %rcx + adcxq %rax, %r11 + adoxq %rcx, %r12 + mulxq %r9, %rax, %rcx + adcxq %rax, %r12 + adoxq %rcx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcxq %r15, %r14 + movq $0xfffffffffffffffe, %rdx + xorq %r8, %r8 + mulxq (%rsi), %rax, %rcx + adcxq %rax, %r10 + adoxq %rcx, %r11 + mulxq 0x8(%rsi), %rax, %rcx + adcxq %rax, %r11 + adoxq %rcx, %r12 + mulxq 0x10(%rsi), %rax, %rcx + adcxq %rax, %r12 + adoxq %rcx, %r13 + mulxq 0x18(%rsi), %rax, %rcx + adcxq %rax, %r13 + adoxq %rcx, %r14 + adcxq %r8, %r14 + adoxq %r8, %r15 + adcxq %r8, %r15 + movq $0x4fffffffd, %rdx + xorq %r9, %r9 + mulxq (%rsi), %rax, %rcx + adcxq %rax, %r11 + adoxq %rcx, %r12 + mulxq 0x8(%rsi), %rax, %rcx + adcxq %rax, %r12 + adoxq %rcx, %r13 + mulxq 0x10(%rsi), %rax, %rcx + adcxq %rax, %r13 + adoxq %rcx, %r14 + mulxq 0x18(%rsi), %rax, %rcx + adcxq %rax, %r14 + adoxq %rcx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcxq %r9, %r8 + xorq %r9, %r9 + movq $0x100000000, %rdx + mulxq %r10, %rax, %rcx + adcxq %rax, %r11 + adoxq %rcx, %r12 + mulxq %r11, %rax, %rcx + adcxq %rax, %r12 + adoxq %rcx, %r13 + movq $0xffffffff00000001, %rdx + mulxq %r10, %rax, %rcx + adcxq %rax, %r13 + adoxq %rcx, %r14 + mulxq %r11, %rax, %rcx + adcxq %rax, %r14 + adoxq %rcx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcxq %r9, %r8 + movl $0xffffffff, %edx + movq $0xffffffff00000001, %rcx + movq $0xfffffffffffffffe, %rax + subq %r12, %rax + movq %rdx, %rax + sbbq %r13, %rax + movl $0x0, %eax + sbbq %r14, %rax + movq %rcx, %rax + sbbq %r15, %rax + movl $0x0, %eax + sbbq %r8, %rax + andq %rax, %rdx + andq %rax, %rcx + subq %rax, %r12 + sbbq %rdx, %r13 + sbbq $0x0, %r14 + sbbq %rcx, %r15 + movq %r12, (%rdi) + movq %r13, 0x8(%rdi) + movq %r14, 0x10(%rdi) + movq %r15, 0x18(%rdi) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_RET + +Lp256_scalarmul_local_p256_montjadd: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(224) + movq %rdx, %rbp + movq 0x40(%rsi), %rdx + mulxq %rdx, %r8, %r15 + mulxq 0x48(%rsi), %r9, %r10 + mulxq 0x58(%rsi), %r11, %r12 + movq 0x50(%rsi), %rdx + mulxq 0x58(%rsi), %r13, %r14 + xorl %ecx, %ecx + mulxq 0x40(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x48(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x58(%rsi), %rdx + mulxq 0x48(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rcx, %r13 + adoxq %rcx, %r14 + adcq %rcx, %r14 + xorl %ecx, %ecx + adcxq %r9, %r9 + adoxq %r15, %r9 + movq 0x48(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x50(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x58(%rsi), %rdx + mulxq %rdx, %rax, %r15 + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %rcx, %r15 + adoxq %rcx, %r15 + xorl %ecx, %ecx + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq $0xffffffff00000001, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rcx, %r13 + movl %ecx, %r9d + adoxq %rcx, %r9 + adcxq %rcx, %r9 + addq %r9, %r14 + adcq %rcx, %r15 + movl %ecx, %r8d + adcq %rcx, %r8 + xorl %ecx, %ecx + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq $0xffffffff00000001, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rcx, %r15 + adoxq %rcx, %r8 + adcq %rcx, %r8 + movl $0x1, %r8d + leaq -0x1(%rdx), %rdx + leaq -0x1(%rcx), %rax + movl $0xfffffffe, %r11d + cmoveq %rcx, %r8 + cmoveq %rcx, %rdx + cmoveq %rcx, %rax + cmoveq %rcx, %r11 + addq %r8, %r12 + adcq %rdx, %r13 + adcq %rax, %r14 + adcq %r11, %r15 + movq %r12, (%rsp) + movq %r13, 0x8(%rsp) + movq %r14, 0x10(%rsp) + movq %r15, 0x18(%rsp) + movq 0x40(%rbp), %rdx + mulxq %rdx, %r8, %r15 + mulxq 0x48(%rbp), %r9, %r10 + mulxq 0x58(%rbp), %r11, %r12 + movq 0x50(%rbp), %rdx + mulxq 0x58(%rbp), %r13, %r14 + xorl %ecx, %ecx + mulxq 0x40(%rbp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x48(%rbp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x58(%rbp), %rdx + mulxq 0x48(%rbp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rcx, %r13 + adoxq %rcx, %r14 + adcq %rcx, %r14 + xorl %ecx, %ecx + adcxq %r9, %r9 + adoxq %r15, %r9 + movq 0x48(%rbp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x50(%rbp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x58(%rbp), %rdx + mulxq %rdx, %rax, %r15 + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %rcx, %r15 + adoxq %rcx, %r15 + xorl %ecx, %ecx + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq $0xffffffff00000001, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rcx, %r13 + movl %ecx, %r9d + adoxq %rcx, %r9 + adcxq %rcx, %r9 + addq %r9, %r14 + adcq %rcx, %r15 + movl %ecx, %r8d + adcq %rcx, %r8 + xorl %ecx, %ecx + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq $0xffffffff00000001, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rcx, %r15 + adoxq %rcx, %r8 + adcq %rcx, %r8 + movl $0x1, %r8d + leaq -0x1(%rdx), %rdx + leaq -0x1(%rcx), %rax + movl $0xfffffffe, %r11d + cmoveq %rcx, %r8 + cmoveq %rcx, %rdx + cmoveq %rcx, %rax + cmoveq %rcx, %r11 + addq %r8, %r12 + adcq %rdx, %r13 + adcq %rax, %r14 + adcq %r11, %r15 + movq %r12, 0xa0(%rsp) + movq %r13, 0xa8(%rsp) + movq %r14, 0xb0(%rsp) + movq %r15, 0xb8(%rsp) + xorl %r13d, %r13d + movq 0x20(%rsi), %rdx + mulxq 0x40(%rbp), %r8, %r9 + mulxq 0x48(%rbp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x50(%rbp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x58(%rbp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x28(%rsi), %rdx + xorl %r14d, %r14d + mulxq 0x40(%rbp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x48(%rbp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x50(%rbp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x58(%rbp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x30(%rsi), %rdx + xorl %r8d, %r8d + mulxq 0x40(%rbp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x48(%rbp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x50(%rbp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x58(%rbp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x38(%rsi), %rdx + xorl %r9d, %r9d + mulxq 0x40(%rbp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x48(%rbp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x50(%rbp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x58(%rbp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0xc0(%rsp) + movq %r13, 0xc8(%rsp) + movq %r14, 0xd0(%rsp) + movq %r15, 0xd8(%rsp) + xorl %r13d, %r13d + movq 0x20(%rbp), %rdx + mulxq 0x40(%rsi), %r8, %r9 + mulxq 0x48(%rsi), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x50(%rsi), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x58(%rsi), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x28(%rbp), %rdx + xorl %r14d, %r14d + mulxq 0x40(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x48(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x50(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x58(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x30(%rbp), %rdx + xorl %r8d, %r8d + mulxq 0x40(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x48(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x50(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x58(%rsi), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x38(%rbp), %rdx + xorl %r9d, %r9d + mulxq 0x40(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x48(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x50(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x58(%rsi), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x20(%rsp) + movq %r13, 0x28(%rsp) + movq %r14, 0x30(%rsp) + movq %r15, 0x38(%rsp) + xorl %r13d, %r13d + movq 0x0(%rbp), %rdx + mulxq (%rsp), %r8, %r9 + mulxq 0x8(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x10(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x18(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x8(%rbp), %rdx + xorl %r14d, %r14d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x18(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x10(%rbp), %rdx + xorl %r8d, %r8d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x18(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x18(%rbp), %rdx + xorl %r9d, %r9d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x18(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x40(%rsp) + movq %r13, 0x48(%rsp) + movq %r14, 0x50(%rsp) + movq %r15, 0x58(%rsp) + xorl %r13d, %r13d + movq (%rsi), %rdx + mulxq 0xa0(%rsp), %r8, %r9 + mulxq 0xa8(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0xb0(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0xb8(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x8(%rsi), %rdx + xorl %r14d, %r14d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xb8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x10(%rsi), %rdx + xorl %r8d, %r8d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x18(%rsi), %rdx + xorl %r9d, %r9d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x80(%rsp) + movq %r13, 0x88(%rsp) + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + xorl %r13d, %r13d + movq 0x20(%rsp), %rdx + mulxq (%rsp), %r8, %r9 + mulxq 0x8(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x10(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x18(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x28(%rsp), %rdx + xorl %r14d, %r14d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x18(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x30(%rsp), %rdx + xorl %r8d, %r8d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x18(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x38(%rsp), %rdx + xorl %r9d, %r9d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x18(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x20(%rsp) + movq %r13, 0x28(%rsp) + movq %r14, 0x30(%rsp) + movq %r15, 0x38(%rsp) + xorl %r13d, %r13d + movq 0xc0(%rsp), %rdx + mulxq 0xa0(%rsp), %r8, %r9 + mulxq 0xa8(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0xb0(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0xb8(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0xc8(%rsp), %rdx + xorl %r14d, %r14d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xb8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0xd0(%rsp), %rdx + xorl %r8d, %r8d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0xd8(%rsp), %rdx + xorl %r9d, %r9d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0xc0(%rsp) + movq %r13, 0xc8(%rsp) + movq %r14, 0xd0(%rsp) + movq %r15, 0xd8(%rsp) + movq 0x40(%rsp), %rax + subq 0x80(%rsp), %rax + movq 0x48(%rsp), %rcx + sbbq 0x88(%rsp), %rcx + movq 0x50(%rsp), %r8 + sbbq 0x90(%rsp), %r8 + movq 0x58(%rsp), %r9 + sbbq 0x98(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0xa0(%rsp) + adcq %r10, %rcx + movq %rcx, 0xa8(%rsp) + adcq $0x0, %r8 + movq %r8, 0xb0(%rsp) + adcq %rdx, %r9 + movq %r9, 0xb8(%rsp) + movq 0x20(%rsp), %rax + subq 0xc0(%rsp), %rax + movq 0x28(%rsp), %rcx + sbbq 0xc8(%rsp), %rcx + movq 0x30(%rsp), %r8 + sbbq 0xd0(%rsp), %r8 + movq 0x38(%rsp), %r9 + sbbq 0xd8(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x20(%rsp) + adcq %r10, %rcx + movq %rcx, 0x28(%rsp) + adcq $0x0, %r8 + movq %r8, 0x30(%rsp) + adcq %rdx, %r9 + movq %r9, 0x38(%rsp) + movq 0xa0(%rsp), %rdx + mulxq %rdx, %r8, %r15 + mulxq 0xa8(%rsp), %r9, %r10 + mulxq 0xb8(%rsp), %r11, %r12 + movq 0xb0(%rsp), %rdx + mulxq 0xb8(%rsp), %r13, %r14 + xorl %ecx, %ecx + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0xb8(%rsp), %rdx + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rcx, %r13 + adoxq %rcx, %r14 + adcq %rcx, %r14 + xorl %ecx, %ecx + adcxq %r9, %r9 + adoxq %r15, %r9 + movq 0xa8(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0xb0(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0xb8(%rsp), %rdx + mulxq %rdx, %rax, %r15 + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %rcx, %r15 + adoxq %rcx, %r15 + xorl %ecx, %ecx + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq $0xffffffff00000001, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rcx, %r13 + movl %ecx, %r9d + adoxq %rcx, %r9 + adcxq %rcx, %r9 + addq %r9, %r14 + adcq %rcx, %r15 + movl %ecx, %r8d + adcq %rcx, %r8 + xorl %ecx, %ecx + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq $0xffffffff00000001, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rcx, %r15 + adoxq %rcx, %r8 + adcq %rcx, %r8 + movl $0x1, %r8d + leaq -0x1(%rdx), %rdx + leaq -0x1(%rcx), %rax + movl $0xfffffffe, %r11d + cmoveq %rcx, %r8 + cmoveq %rcx, %rdx + cmoveq %rcx, %rax + cmoveq %rcx, %r11 + addq %r8, %r12 + adcq %rdx, %r13 + adcq %rax, %r14 + adcq %r11, %r15 + movq %r12, 0x60(%rsp) + movq %r13, 0x68(%rsp) + movq %r14, 0x70(%rsp) + movq %r15, 0x78(%rsp) + movq 0x20(%rsp), %rdx + mulxq %rdx, %r8, %r15 + mulxq 0x28(%rsp), %r9, %r10 + mulxq 0x38(%rsp), %r11, %r12 + movq 0x30(%rsp), %rdx + mulxq 0x38(%rsp), %r13, %r14 + xorl %ecx, %ecx + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x28(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x38(%rsp), %rdx + mulxq 0x28(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rcx, %r13 + adoxq %rcx, %r14 + adcq %rcx, %r14 + xorl %ecx, %ecx + adcxq %r9, %r9 + adoxq %r15, %r9 + movq 0x28(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x30(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x38(%rsp), %rdx + mulxq %rdx, %rax, %r15 + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %rcx, %r15 + adoxq %rcx, %r15 + xorl %ecx, %ecx + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq $0xffffffff00000001, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rcx, %r13 + movl %ecx, %r9d + adoxq %rcx, %r9 + adcxq %rcx, %r9 + addq %r9, %r14 + adcq %rcx, %r15 + movl %ecx, %r8d + adcq %rcx, %r8 + xorl %ecx, %ecx + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq $0xffffffff00000001, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rcx, %r15 + adoxq %rcx, %r8 + adcq %rcx, %r8 + movl $0x1, %ebx + addq %r12, %rbx + leaq -0x1(%rdx), %rdx + adcq %r13, %rdx + leaq -0x1(%rcx), %rcx + movq %rcx, %rax + adcq %r14, %rcx + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rbx, %r12 + cmovbq %rdx, %r13 + cmovbq %rcx, %r14 + cmovbq %r11, %r15 + movq %r12, (%rsp) + movq %r13, 0x8(%rsp) + movq %r14, 0x10(%rsp) + movq %r15, 0x18(%rsp) + xorl %r13d, %r13d + movq 0x80(%rsp), %rdx + mulxq 0x60(%rsp), %r8, %r9 + mulxq 0x68(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x70(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x78(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x88(%rsp), %rdx + xorl %r14d, %r14d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x78(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x90(%rsp), %rdx + xorl %r8d, %r8d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x78(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x98(%rsp), %rdx + xorl %r9d, %r9d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x78(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x80(%rsp) + movq %r13, 0x88(%rsp) + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + xorl %r13d, %r13d + movq 0x40(%rsp), %rdx + mulxq 0x60(%rsp), %r8, %r9 + mulxq 0x68(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x70(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x78(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x48(%rsp), %rdx + xorl %r14d, %r14d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x78(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x50(%rsp), %rdx + xorl %r8d, %r8d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x78(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x58(%rsp), %rdx + xorl %r9d, %r9d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x78(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x40(%rsp) + movq %r13, 0x48(%rsp) + movq %r14, 0x50(%rsp) + movq %r15, 0x58(%rsp) + movq (%rsp), %rax + subq 0x80(%rsp), %rax + movq 0x8(%rsp), %rcx + sbbq 0x88(%rsp), %rcx + movq 0x10(%rsp), %r8 + sbbq 0x90(%rsp), %r8 + movq 0x18(%rsp), %r9 + sbbq 0x98(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, (%rsp) + adcq %r10, %rcx + movq %rcx, 0x8(%rsp) + adcq $0x0, %r8 + movq %r8, 0x10(%rsp) + adcq %rdx, %r9 + movq %r9, 0x18(%rsp) + movq 0x40(%rsp), %rax + subq 0x80(%rsp), %rax + movq 0x48(%rsp), %rcx + sbbq 0x88(%rsp), %rcx + movq 0x50(%rsp), %r8 + sbbq 0x90(%rsp), %r8 + movq 0x58(%rsp), %r9 + sbbq 0x98(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x60(%rsp) + adcq %r10, %rcx + movq %rcx, 0x68(%rsp) + adcq $0x0, %r8 + movq %r8, 0x70(%rsp) + adcq %rdx, %r9 + movq %r9, 0x78(%rsp) + xorl %r13d, %r13d + movq 0x40(%rsi), %rdx + mulxq 0xa0(%rsp), %r8, %r9 + mulxq 0xa8(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0xb0(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0xb8(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x48(%rsi), %rdx + xorl %r14d, %r14d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xb8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x50(%rsi), %rdx + xorl %r8d, %r8d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x58(%rsi), %rdx + xorl %r9d, %r9d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0xa0(%rsp) + movq %r13, 0xa8(%rsp) + movq %r14, 0xb0(%rsp) + movq %r15, 0xb8(%rsp) + movq (%rsp), %rax + subq 0x40(%rsp), %rax + movq 0x8(%rsp), %rcx + sbbq 0x48(%rsp), %rcx + movq 0x10(%rsp), %r8 + sbbq 0x50(%rsp), %r8 + movq 0x18(%rsp), %r9 + sbbq 0x58(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, (%rsp) + adcq %r10, %rcx + movq %rcx, 0x8(%rsp) + adcq $0x0, %r8 + movq %r8, 0x10(%rsp) + adcq %rdx, %r9 + movq %r9, 0x18(%rsp) + movq 0x80(%rsp), %rax + subq (%rsp), %rax + movq 0x88(%rsp), %rcx + sbbq 0x8(%rsp), %rcx + movq 0x90(%rsp), %r8 + sbbq 0x10(%rsp), %r8 + movq 0x98(%rsp), %r9 + sbbq 0x18(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x80(%rsp) + adcq %r10, %rcx + movq %rcx, 0x88(%rsp) + adcq $0x0, %r8 + movq %r8, 0x90(%rsp) + adcq %rdx, %r9 + movq %r9, 0x98(%rsp) + xorl %r13d, %r13d + movq 0xc0(%rsp), %rdx + mulxq 0x60(%rsp), %r8, %r9 + mulxq 0x68(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x70(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x78(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0xc8(%rsp), %rdx + xorl %r14d, %r14d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x78(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0xd0(%rsp), %rdx + xorl %r8d, %r8d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x78(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0xd8(%rsp), %rdx + xorl %r9d, %r9d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x78(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x60(%rsp) + movq %r13, 0x68(%rsp) + movq %r14, 0x70(%rsp) + movq %r15, 0x78(%rsp) + xorl %r13d, %r13d + movq 0x40(%rbp), %rdx + mulxq 0xa0(%rsp), %r8, %r9 + mulxq 0xa8(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0xb0(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0xb8(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x48(%rbp), %rdx + xorl %r14d, %r14d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xb8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x50(%rbp), %rdx + xorl %r8d, %r8d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x58(%rbp), %rdx + xorl %r9d, %r9d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0xa0(%rsp) + movq %r13, 0xa8(%rsp) + movq %r14, 0xb0(%rsp) + movq %r15, 0xb8(%rsp) + xorl %r13d, %r13d + movq 0x80(%rsp), %rdx + mulxq 0x20(%rsp), %r8, %r9 + mulxq 0x28(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x30(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x38(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x88(%rsp), %rdx + xorl %r14d, %r14d + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x28(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x30(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x38(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x90(%rsp), %rdx + xorl %r8d, %r8d + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x28(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x30(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x38(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x98(%rsp), %rdx + xorl %r9d, %r9d + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x28(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x30(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x38(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x80(%rsp) + movq %r13, 0x88(%rsp) + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + movq 0x80(%rsp), %rax + subq 0x60(%rsp), %rax + movq 0x88(%rsp), %rcx + sbbq 0x68(%rsp), %rcx + movq 0x90(%rsp), %r8 + sbbq 0x70(%rsp), %r8 + movq 0x98(%rsp), %r9 + sbbq 0x78(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x80(%rsp) + adcq %r10, %rcx + movq %rcx, 0x88(%rsp) + adcq $0x0, %r8 + movq %r8, 0x90(%rsp) + adcq %rdx, %r9 + movq %r9, 0x98(%rsp) + movq 0x40(%rsi), %r8 + movq 0x48(%rsi), %r9 + movq 0x50(%rsi), %r10 + movq 0x58(%rsi), %r11 + movq %r8, %rax + movq %r9, %rdx + orq %r10, %rax + orq %r11, %rdx + orq %rdx, %rax + negq %rax + sbbq %rax, %rax + movq 0x40(%rbp), %r12 + movq 0x48(%rbp), %r13 + movq 0x50(%rbp), %r14 + movq 0x58(%rbp), %r15 + movq %r12, %rbx + movq %r13, %rdx + orq %r14, %rbx + orq %r15, %rdx + orq %rdx, %rbx + negq %rbx + sbbq %rbx, %rbx + cmpq %rax, %rbx + cmovbq %r8, %r12 + cmovbq %r9, %r13 + cmovbq %r10, %r14 + cmovbq %r11, %r15 + cmoveq 0xa0(%rsp), %r12 + cmoveq 0xa8(%rsp), %r13 + cmoveq 0xb0(%rsp), %r14 + cmoveq 0xb8(%rsp), %r15 + movq (%rsp), %rax + cmovbq (%rsi), %rax + cmova 0x0(%rbp), %rax + movq 0x8(%rsp), %rbx + cmovbq 0x8(%rsi), %rbx + cmova 0x8(%rbp), %rbx + movq 0x10(%rsp), %rcx + cmovbq 0x10(%rsi), %rcx + cmova 0x10(%rbp), %rcx + movq 0x18(%rsp), %rdx + cmovbq 0x18(%rsi), %rdx + cmova 0x18(%rbp), %rdx + movq 0x80(%rsp), %r8 + cmovbq 0x20(%rsi), %r8 + cmova 0x20(%rbp), %r8 + movq 0x88(%rsp), %r9 + cmovbq 0x28(%rsi), %r9 + cmova 0x28(%rbp), %r9 + movq 0x90(%rsp), %r10 + cmovbq 0x30(%rsi), %r10 + cmova 0x30(%rbp), %r10 + movq 0x98(%rsp), %r11 + cmovbq 0x38(%rsi), %r11 + cmova 0x38(%rbp), %r11 + movq %rax, (%rdi) + movq %rbx, 0x8(%rdi) + movq %rcx, 0x10(%rdi) + movq %rdx, 0x18(%rdi) + movq %r8, 0x20(%rdi) + movq %r9, 0x28(%rdi) + movq %r10, 0x30(%rdi) + movq %r11, 0x38(%rdi) + movq %r12, 0x40(%rdi) + movq %r13, 0x48(%rdi) + movq %r14, 0x50(%rdi) + movq %r15, 0x58(%rdi) + CFI_INC_RSP(224) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +Lp256_scalarmul_local_p256_montjdouble: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(192) + movq 0x40(%rsi), %rdx + mulxq %rdx, %r8, %r15 + mulxq 0x48(%rsi), %r9, %r10 + mulxq 0x58(%rsi), %r11, %r12 + movq 0x50(%rsi), %rdx + mulxq 0x58(%rsi), %r13, %r14 + xorl %ebp, %ebp + mulxq 0x40(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x48(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x58(%rsi), %rdx + mulxq 0x48(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rbp, %r13 + adoxq %rbp, %r14 + adcq %rbp, %r14 + xorl %ebp, %ebp + adcxq %r9, %r9 + adoxq %r15, %r9 + movq 0x48(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x50(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x58(%rsi), %rdx + mulxq %rdx, %rax, %r15 + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %rbp, %r15 + adoxq %rbp, %r15 + xorl %ebp, %ebp + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq $0xffffffff00000001, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rbp, %r13 + movl %ebp, %r9d + adoxq %rbp, %r9 + adcxq %rbp, %r9 + addq %r9, %r14 + adcq %rbp, %r15 + movl %ebp, %r8d + adcq %rbp, %r8 + xorl %ebp, %ebp + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq $0xffffffff00000001, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rbp, %r15 + adoxq %rbp, %r8 + adcq %rbp, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rdx), %rdx + adcq %r13, %rdx + leaq -0x1(%rbp), %rbp + movq %rbp, %rax + adcq %r14, %rbp + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %rbp, %r14 + cmovbq %r11, %r15 + movq %r12, (%rsp) + movq %r13, 0x8(%rsp) + movq %r14, 0x10(%rsp) + movq %r15, 0x18(%rsp) + movq 0x20(%rsi), %rdx + mulxq %rdx, %r8, %r15 + mulxq 0x28(%rsi), %r9, %r10 + mulxq 0x38(%rsi), %r11, %r12 + movq 0x30(%rsi), %rdx + mulxq 0x38(%rsi), %r13, %r14 + xorl %ebp, %ebp + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x38(%rsi), %rdx + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rbp, %r13 + adoxq %rbp, %r14 + adcq %rbp, %r14 + xorl %ebp, %ebp + adcxq %r9, %r9 + adoxq %r15, %r9 + movq 0x28(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x30(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x38(%rsi), %rdx + mulxq %rdx, %rax, %r15 + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %rbp, %r15 + adoxq %rbp, %r15 + xorl %ebp, %ebp + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq $0xffffffff00000001, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rbp, %r13 + movl %ebp, %r9d + adoxq %rbp, %r9 + adcxq %rbp, %r9 + addq %r9, %r14 + adcq %rbp, %r15 + movl %ebp, %r8d + adcq %rbp, %r8 + xorl %ebp, %ebp + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq $0xffffffff00000001, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rbp, %r15 + adoxq %rbp, %r8 + adcq %rbp, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rdx), %rdx + adcq %r13, %rdx + leaq -0x1(%rbp), %rbp + movq %rbp, %rax + adcq %r14, %rbp + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %rbp, %r14 + cmovbq %r11, %r15 + movq %r12, 0x20(%rsp) + movq %r13, 0x28(%rsp) + movq %r14, 0x30(%rsp) + movq %r15, 0x38(%rsp) + movq (%rsi), %rax + subq (%rsp), %rax + movq 0x8(%rsi), %rcx + sbbq 0x8(%rsp), %rcx + movq 0x10(%rsi), %r8 + sbbq 0x10(%rsp), %r8 + movq 0x18(%rsi), %r9 + sbbq 0x18(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x60(%rsp) + adcq %r10, %rcx + movq %rcx, 0x68(%rsp) + adcq $0x0, %r8 + movq %r8, 0x70(%rsp) + adcq %rdx, %r9 + movq %r9, 0x78(%rsp) + movq (%rsi), %rax + addq (%rsp), %rax + movq 0x8(%rsi), %rcx + adcq 0x8(%rsp), %rcx + movq 0x10(%rsi), %r8 + adcq 0x10(%rsp), %r8 + movq 0x18(%rsi), %r9 + adcq 0x18(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + subq %r11, %rax + movq %rax, 0x40(%rsp) + sbbq %r10, %rcx + movq %rcx, 0x48(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x50(%rsp) + sbbq %rdx, %r9 + movq %r9, 0x58(%rsp) + xorl %r13d, %r13d + movq 0x60(%rsp), %rdx + mulxq 0x40(%rsp), %r8, %r9 + mulxq 0x48(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x50(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x58(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x68(%rsp), %rdx + xorl %r14d, %r14d + mulxq 0x40(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x48(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x50(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x58(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x70(%rsp), %rdx + xorl %r8d, %r8d + mulxq 0x40(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x48(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x50(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x58(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x78(%rsp), %rdx + xorl %r9d, %r9d + mulxq 0x40(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x48(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x50(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x58(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x60(%rsp) + movq %r13, 0x68(%rsp) + movq %r14, 0x70(%rsp) + movq %r15, 0x78(%rsp) + xorq %r11, %r11 + movq 0x20(%rsi), %rax + addq 0x40(%rsi), %rax + movq 0x28(%rsi), %rcx + adcq 0x48(%rsi), %rcx + movq 0x30(%rsi), %r8 + adcq 0x50(%rsi), %r8 + movq 0x38(%rsi), %r9 + adcq 0x58(%rsi), %r9 + adcq %r11, %r11 + subq $0xffffffffffffffff, %rax + movl $0xffffffff, %r10d + sbbq %r10, %rcx + sbbq $0x0, %r8 + movq $0xffffffff00000001, %rdx + sbbq %rdx, %r9 + sbbq $0x0, %r11 + andq %r11, %r10 + andq %r11, %rdx + addq %r11, %rax + movq %rax, 0x40(%rsp) + adcq %r10, %rcx + movq %rcx, 0x48(%rsp) + adcq $0x0, %r8 + movq %r8, 0x50(%rsp) + adcq %rdx, %r9 + movq %r9, 0x58(%rsp) + xorl %r13d, %r13d + movq 0x20(%rsp), %rdx + mulxq (%rsi), %r8, %r9 + mulxq 0x8(%rsi), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x10(%rsi), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x18(%rsi), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x28(%rsp), %rdx + xorl %r14d, %r14d + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x30(%rsp), %rdx + xorl %r8d, %r8d + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x18(%rsi), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x38(%rsp), %rdx + xorl %r9d, %r9d + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x18(%rsi), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x80(%rsp) + movq %r13, 0x88(%rsp) + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + movq 0x60(%rsp), %rdx + mulxq %rdx, %r8, %r15 + mulxq 0x68(%rsp), %r9, %r10 + mulxq 0x78(%rsp), %r11, %r12 + movq 0x70(%rsp), %rdx + mulxq 0x78(%rsp), %r13, %r14 + xorl %ebp, %ebp + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x78(%rsp), %rdx + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rbp, %r13 + adoxq %rbp, %r14 + adcq %rbp, %r14 + xorl %ebp, %ebp + adcxq %r9, %r9 + adoxq %r15, %r9 + movq 0x68(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x70(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x78(%rsp), %rdx + mulxq %rdx, %rax, %r15 + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %rbp, %r15 + adoxq %rbp, %r15 + xorl %ebp, %ebp + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq $0xffffffff00000001, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rbp, %r13 + movl %ebp, %r9d + adoxq %rbp, %r9 + adcxq %rbp, %r9 + addq %r9, %r14 + adcq %rbp, %r15 + movl %ebp, %r8d + adcq %rbp, %r8 + xorl %ebp, %ebp + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq $0xffffffff00000001, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rbp, %r15 + adoxq %rbp, %r8 + adcq %rbp, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rdx), %rdx + adcq %r13, %rdx + leaq -0x1(%rbp), %rbp + movq %rbp, %rax + adcq %r14, %rbp + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %rbp, %r14 + cmovbq %r11, %r15 + movq %r12, 0xa0(%rsp) + movq %r13, 0xa8(%rsp) + movq %r14, 0xb0(%rsp) + movq %r15, 0xb8(%rsp) + movq 0x40(%rsp), %rdx + mulxq %rdx, %r8, %r15 + mulxq 0x48(%rsp), %r9, %r10 + mulxq 0x58(%rsp), %r11, %r12 + movq 0x50(%rsp), %rdx + mulxq 0x58(%rsp), %r13, %r14 + xorl %ebp, %ebp + mulxq 0x40(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x48(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x58(%rsp), %rdx + mulxq 0x48(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rbp, %r13 + adoxq %rbp, %r14 + adcq %rbp, %r14 + xorl %ebp, %ebp + adcxq %r9, %r9 + adoxq %r15, %r9 + movq 0x48(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x50(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x58(%rsp), %rdx + mulxq %rdx, %rax, %r15 + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %rbp, %r15 + adoxq %rbp, %r15 + xorl %ebp, %ebp + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq $0xffffffff00000001, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rbp, %r13 + movl %ebp, %r9d + adoxq %rbp, %r9 + adcxq %rbp, %r9 + addq %r9, %r14 + adcq %rbp, %r15 + movl %ebp, %r8d + adcq %rbp, %r8 + xorl %ebp, %ebp + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq $0xffffffff00000001, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rbp, %r15 + adoxq %rbp, %r8 + adcq %rbp, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rdx), %rdx + adcq %r13, %rdx + leaq -0x1(%rbp), %rbp + movq %rbp, %rax + adcq %r14, %rbp + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %rbp, %r14 + cmovbq %r11, %r15 + movq %r12, 0x40(%rsp) + movq %r13, 0x48(%rsp) + movq %r14, 0x50(%rsp) + movq %r15, 0x58(%rsp) + movq $0xffffffffffffffff, %r8 + xorl %r10d, %r10d + subq 0xa0(%rsp), %r8 + movq $0xffffffff, %r9 + sbbq 0xa8(%rsp), %r9 + sbbq 0xb0(%rsp), %r10 + movq $0xffffffff00000001, %r11 + sbbq 0xb8(%rsp), %r11 + xorl %r12d, %r12d + movq $0x9, %rdx + mulxq %r8, %r8, %rax + mulxq %r9, %r9, %rcx + addq %rax, %r9 + mulxq %r10, %r10, %rax + adcq %rcx, %r10 + mulxq %r11, %r11, %rcx + adcq %rax, %r11 + adcq %rcx, %r12 + movq $0xc, %rdx + xorl %eax, %eax + mulxq 0x80(%rsp), %rax, %rcx + adcxq %rax, %r8 + adoxq %rcx, %r9 + mulxq 0x88(%rsp), %rax, %rcx + adcxq %rax, %r9 + adoxq %rcx, %r10 + mulxq 0x90(%rsp), %rax, %rcx + adcxq %rax, %r10 + adoxq %rcx, %r11 + mulxq 0x98(%rsp), %rax, %rdx + adcxq %rax, %r11 + adoxq %r12, %rdx + adcq $0x1, %rdx + addq %rdx, %r8 + movq $0x100000000, %rax + mulxq %rax, %rax, %rcx + sbbq $0x0, %rax + sbbq $0x0, %rcx + subq %rax, %r9 + sbbq %rcx, %r10 + movq $0xffffffff00000001, %rax + mulxq %rax, %rax, %rcx + sbbq %rax, %r11 + sbbq %rcx, %rdx + decq %rdx + movl $0xffffffff, %eax + andq %rdx, %rax + xorl %ecx, %ecx + subq %rax, %rcx + addq %rdx, %r8 + movq %r8, 0xa0(%rsp) + adcq %rax, %r9 + movq %r9, 0xa8(%rsp) + adcq $0x0, %r10 + movq %r10, 0xb0(%rsp) + adcq %rcx, %r11 + movq %r11, 0xb8(%rsp) + movq 0x40(%rsp), %rax + subq (%rsp), %rax + movq 0x48(%rsp), %rcx + sbbq 0x8(%rsp), %rcx + movq 0x50(%rsp), %r8 + sbbq 0x10(%rsp), %r8 + movq 0x58(%rsp), %r9 + sbbq 0x18(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x40(%rsp) + adcq %r10, %rcx + movq %rcx, 0x48(%rsp) + adcq $0x0, %r8 + movq %r8, 0x50(%rsp) + adcq %rdx, %r9 + movq %r9, 0x58(%rsp) + movq 0x20(%rsp), %rdx + mulxq %rdx, %r8, %r15 + mulxq 0x28(%rsp), %r9, %r10 + mulxq 0x38(%rsp), %r11, %r12 + movq 0x30(%rsp), %rdx + mulxq 0x38(%rsp), %r13, %r14 + xorl %ebp, %ebp + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x28(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x38(%rsp), %rdx + mulxq 0x28(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rbp, %r13 + adoxq %rbp, %r14 + adcq %rbp, %r14 + xorl %ebp, %ebp + adcxq %r9, %r9 + adoxq %r15, %r9 + movq 0x28(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x30(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x38(%rsp), %rdx + mulxq %rdx, %rax, %r15 + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %rbp, %r15 + adoxq %rbp, %r15 + xorl %ebp, %ebp + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq $0xffffffff00000001, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rbp, %r13 + movl %ebp, %r9d + adoxq %rbp, %r9 + adcxq %rbp, %r9 + addq %r9, %r14 + adcq %rbp, %r15 + movl %ebp, %r8d + adcq %rbp, %r8 + xorl %ebp, %ebp + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq $0xffffffff00000001, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rbp, %r15 + adoxq %rbp, %r8 + adcq %rbp, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rdx), %rdx + adcq %r13, %rdx + leaq -0x1(%rbp), %rbp + movq %rbp, %rax + adcq %r14, %rbp + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %rbp, %r14 + cmovbq %r11, %r15 + movq %r12, (%rsp) + movq %r13, 0x8(%rsp) + movq %r14, 0x10(%rsp) + movq %r15, 0x18(%rsp) + xorl %r13d, %r13d + movq 0x60(%rsp), %rdx + mulxq 0xa0(%rsp), %r8, %r9 + mulxq 0xa8(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0xb0(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0xb8(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x68(%rsp), %rdx + xorl %r14d, %r14d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xb8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x70(%rsp), %rdx + xorl %r8d, %r8d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x78(%rsp), %rdx + xorl %r9d, %r9d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x60(%rsp) + movq %r13, 0x68(%rsp) + movq %r14, 0x70(%rsp) + movq %r15, 0x78(%rsp) + movq 0x40(%rsp), %rax + subq 0x20(%rsp), %rax + movq 0x48(%rsp), %rcx + sbbq 0x28(%rsp), %rcx + movq 0x50(%rsp), %r8 + sbbq 0x30(%rsp), %r8 + movq 0x58(%rsp), %r9 + sbbq 0x38(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x40(%rdi) + adcq %r10, %rcx + movq %rcx, 0x48(%rdi) + adcq $0x0, %r8 + movq %r8, 0x50(%rdi) + adcq %rdx, %r9 + movq %r9, 0x58(%rdi) + movq 0x98(%rsp), %r11 + movq %r11, %rdx + movq 0x90(%rsp), %r10 + shldq $0x2, %r10, %r11 + movq 0x88(%rsp), %r9 + shldq $0x2, %r9, %r10 + movq 0x80(%rsp), %r8 + shldq $0x2, %r8, %r9 + shlq $0x2, %r8 + shrq $0x3e, %rdx + addq $0x1, %rdx + subq 0xa0(%rsp), %r8 + sbbq 0xa8(%rsp), %r9 + sbbq 0xb0(%rsp), %r10 + sbbq 0xb8(%rsp), %r11 + sbbq $0x0, %rdx + addq %rdx, %r8 + movq $0x100000000, %rax + mulxq %rax, %rax, %rcx + sbbq $0x0, %rax + sbbq $0x0, %rcx + subq %rax, %r9 + sbbq %rcx, %r10 + movq $0xffffffff00000001, %rax + mulxq %rax, %rax, %rcx + sbbq %rax, %r11 + sbbq %rcx, %rdx + decq %rdx + movl $0xffffffff, %eax + andq %rdx, %rax + xorl %ecx, %ecx + subq %rax, %rcx + addq %rdx, %r8 + movq %r8, (%rdi) + adcq %rax, %r9 + movq %r9, 0x8(%rdi) + adcq $0x0, %r10 + movq %r10, 0x10(%rdi) + adcq %rcx, %r11 + movq %r11, 0x18(%rdi) + movq $0xffffffffffffffff, %r8 + xorl %r10d, %r10d + subq (%rsp), %r8 + movq $0xffffffff, %r9 + sbbq 0x8(%rsp), %r9 + sbbq 0x10(%rsp), %r10 + movq $0xffffffff00000001, %r11 + sbbq 0x18(%rsp), %r11 + movq %r11, %r12 + shldq $0x3, %r10, %r11 + shldq $0x3, %r9, %r10 + shldq $0x3, %r8, %r9 + shlq $0x3, %r8 + shrq $0x3d, %r12 + movq $0x3, %rdx + xorl %eax, %eax + mulxq 0x60(%rsp), %rax, %rcx + adcxq %rax, %r8 + adoxq %rcx, %r9 + mulxq 0x68(%rsp), %rax, %rcx + adcxq %rax, %r9 + adoxq %rcx, %r10 + mulxq 0x70(%rsp), %rax, %rcx + adcxq %rax, %r10 + adoxq %rcx, %r11 + mulxq 0x78(%rsp), %rax, %rdx + adcxq %rax, %r11 + adoxq %r12, %rdx + adcq $0x1, %rdx + addq %rdx, %r8 + movq $0x100000000, %rax + mulxq %rax, %rax, %rcx + sbbq $0x0, %rax + sbbq $0x0, %rcx + subq %rax, %r9 + sbbq %rcx, %r10 + movq $0xffffffff00000001, %rax + mulxq %rax, %rax, %rcx + sbbq %rax, %r11 + sbbq %rcx, %rdx + decq %rdx + movl $0xffffffff, %eax + andq %rdx, %rax + xorl %ecx, %ecx + subq %rax, %rcx + addq %rdx, %r8 + movq %r8, 0x20(%rdi) + adcq %rax, %r9 + movq %r9, 0x28(%rdi) + adcq $0x0, %r10 + movq %r10, 0x30(%rdi) + adcq %rcx, %r11 + movq %r11, 0x38(%rdi) + CFI_INC_RSP(192) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +Lp256_scalarmul_local_p256_montjmixadd: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(192) + movq %rdx, %rbp + movq 0x40(%rsi), %rdx + mulxq %rdx, %r8, %r15 + mulxq 0x48(%rsi), %r9, %r10 + mulxq 0x58(%rsi), %r11, %r12 + movq 0x50(%rsi), %rdx + mulxq 0x58(%rsi), %r13, %r14 + xorl %ecx, %ecx + mulxq 0x40(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x48(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x58(%rsi), %rdx + mulxq 0x48(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rcx, %r13 + adoxq %rcx, %r14 + adcq %rcx, %r14 + xorl %ecx, %ecx + adcxq %r9, %r9 + adoxq %r15, %r9 + movq 0x48(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x50(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x58(%rsi), %rdx + mulxq %rdx, %rax, %r15 + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %rcx, %r15 + adoxq %rcx, %r15 + xorl %ecx, %ecx + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq $0xffffffff00000001, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rcx, %r13 + movl %ecx, %r9d + adoxq %rcx, %r9 + adcxq %rcx, %r9 + addq %r9, %r14 + adcq %rcx, %r15 + movl %ecx, %r8d + adcq %rcx, %r8 + xorl %ecx, %ecx + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq $0xffffffff00000001, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rcx, %r15 + adoxq %rcx, %r8 + adcq %rcx, %r8 + movl $0x1, %r8d + leaq -0x1(%rdx), %rdx + leaq -0x1(%rcx), %rax + movl $0xfffffffe, %r11d + cmoveq %rcx, %r8 + cmoveq %rcx, %rdx + cmoveq %rcx, %rax + cmoveq %rcx, %r11 + addq %r8, %r12 + adcq %rdx, %r13 + adcq %rax, %r14 + adcq %r11, %r15 + movq %r12, (%rsp) + movq %r13, 0x8(%rsp) + movq %r14, 0x10(%rsp) + movq %r15, 0x18(%rsp) + xorl %r13d, %r13d + movq 0x20(%rbp), %rdx + mulxq 0x40(%rsi), %r8, %r9 + mulxq 0x48(%rsi), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x50(%rsi), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x58(%rsi), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x28(%rbp), %rdx + xorl %r14d, %r14d + mulxq 0x40(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x48(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x50(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x58(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x30(%rbp), %rdx + xorl %r8d, %r8d + mulxq 0x40(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x48(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x50(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x58(%rsi), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x38(%rbp), %rdx + xorl %r9d, %r9d + mulxq 0x40(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x48(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x50(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x58(%rsi), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x20(%rsp) + movq %r13, 0x28(%rsp) + movq %r14, 0x30(%rsp) + movq %r15, 0x38(%rsp) + xorl %r13d, %r13d + movq 0x0(%rbp), %rdx + mulxq (%rsp), %r8, %r9 + mulxq 0x8(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x10(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x18(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x8(%rbp), %rdx + xorl %r14d, %r14d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x18(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x10(%rbp), %rdx + xorl %r8d, %r8d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x18(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x18(%rbp), %rdx + xorl %r9d, %r9d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x18(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x40(%rsp) + movq %r13, 0x48(%rsp) + movq %r14, 0x50(%rsp) + movq %r15, 0x58(%rsp) + xorl %r13d, %r13d + movq 0x20(%rsp), %rdx + mulxq (%rsp), %r8, %r9 + mulxq 0x8(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x10(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x18(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x28(%rsp), %rdx + xorl %r14d, %r14d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x18(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x30(%rsp), %rdx + xorl %r8d, %r8d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x18(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x38(%rsp), %rdx + xorl %r9d, %r9d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x18(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x20(%rsp) + movq %r13, 0x28(%rsp) + movq %r14, 0x30(%rsp) + movq %r15, 0x38(%rsp) + movq 0x40(%rsp), %rax + subq (%rsi), %rax + movq 0x48(%rsp), %rcx + sbbq 0x8(%rsi), %rcx + movq 0x50(%rsp), %r8 + sbbq 0x10(%rsi), %r8 + movq 0x58(%rsp), %r9 + sbbq 0x18(%rsi), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0xa0(%rsp) + adcq %r10, %rcx + movq %rcx, 0xa8(%rsp) + adcq $0x0, %r8 + movq %r8, 0xb0(%rsp) + adcq %rdx, %r9 + movq %r9, 0xb8(%rsp) + movq 0x20(%rsp), %rax + subq 0x20(%rsi), %rax + movq 0x28(%rsp), %rcx + sbbq 0x28(%rsi), %rcx + movq 0x30(%rsp), %r8 + sbbq 0x30(%rsi), %r8 + movq 0x38(%rsp), %r9 + sbbq 0x38(%rsi), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x20(%rsp) + adcq %r10, %rcx + movq %rcx, 0x28(%rsp) + adcq $0x0, %r8 + movq %r8, 0x30(%rsp) + adcq %rdx, %r9 + movq %r9, 0x38(%rsp) + movq 0xa0(%rsp), %rdx + mulxq %rdx, %r8, %r15 + mulxq 0xa8(%rsp), %r9, %r10 + mulxq 0xb8(%rsp), %r11, %r12 + movq 0xb0(%rsp), %rdx + mulxq 0xb8(%rsp), %r13, %r14 + xorl %ecx, %ecx + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0xb8(%rsp), %rdx + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rcx, %r13 + adoxq %rcx, %r14 + adcq %rcx, %r14 + xorl %ecx, %ecx + adcxq %r9, %r9 + adoxq %r15, %r9 + movq 0xa8(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0xb0(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0xb8(%rsp), %rdx + mulxq %rdx, %rax, %r15 + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %rcx, %r15 + adoxq %rcx, %r15 + xorl %ecx, %ecx + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq $0xffffffff00000001, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rcx, %r13 + movl %ecx, %r9d + adoxq %rcx, %r9 + adcxq %rcx, %r9 + addq %r9, %r14 + adcq %rcx, %r15 + movl %ecx, %r8d + adcq %rcx, %r8 + xorl %ecx, %ecx + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq $0xffffffff00000001, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rcx, %r15 + adoxq %rcx, %r8 + adcq %rcx, %r8 + movl $0x1, %r8d + leaq -0x1(%rdx), %rdx + leaq -0x1(%rcx), %rax + movl $0xfffffffe, %r11d + cmoveq %rcx, %r8 + cmoveq %rcx, %rdx + cmoveq %rcx, %rax + cmoveq %rcx, %r11 + addq %r8, %r12 + adcq %rdx, %r13 + adcq %rax, %r14 + adcq %r11, %r15 + movq %r12, 0x60(%rsp) + movq %r13, 0x68(%rsp) + movq %r14, 0x70(%rsp) + movq %r15, 0x78(%rsp) + movq 0x20(%rsp), %rdx + mulxq %rdx, %r8, %r15 + mulxq 0x28(%rsp), %r9, %r10 + mulxq 0x38(%rsp), %r11, %r12 + movq 0x30(%rsp), %rdx + mulxq 0x38(%rsp), %r13, %r14 + xorl %ecx, %ecx + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x28(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x38(%rsp), %rdx + mulxq 0x28(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rcx, %r13 + adoxq %rcx, %r14 + adcq %rcx, %r14 + xorl %ecx, %ecx + adcxq %r9, %r9 + adoxq %r15, %r9 + movq 0x28(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x30(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x38(%rsp), %rdx + mulxq %rdx, %rax, %r15 + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %rcx, %r15 + adoxq %rcx, %r15 + xorl %ecx, %ecx + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq $0xffffffff00000001, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rcx, %r13 + movl %ecx, %r9d + adoxq %rcx, %r9 + adcxq %rcx, %r9 + addq %r9, %r14 + adcq %rcx, %r15 + movl %ecx, %r8d + adcq %rcx, %r8 + xorl %ecx, %ecx + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq $0xffffffff00000001, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rcx, %r15 + adoxq %rcx, %r8 + adcq %rcx, %r8 + movl $0x1, %ebx + addq %r12, %rbx + leaq -0x1(%rdx), %rdx + adcq %r13, %rdx + leaq -0x1(%rcx), %rcx + movq %rcx, %rax + adcq %r14, %rcx + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rbx, %r12 + cmovbq %rdx, %r13 + cmovbq %rcx, %r14 + cmovbq %r11, %r15 + movq %r12, (%rsp) + movq %r13, 0x8(%rsp) + movq %r14, 0x10(%rsp) + movq %r15, 0x18(%rsp) + xorl %r13d, %r13d + movq (%rsi), %rdx + mulxq 0x60(%rsp), %r8, %r9 + mulxq 0x68(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x70(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x78(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x8(%rsi), %rdx + xorl %r14d, %r14d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x78(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x10(%rsi), %rdx + xorl %r8d, %r8d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x78(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x18(%rsi), %rdx + xorl %r9d, %r9d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x78(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x80(%rsp) + movq %r13, 0x88(%rsp) + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + xorl %r13d, %r13d + movq 0x40(%rsp), %rdx + mulxq 0x60(%rsp), %r8, %r9 + mulxq 0x68(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x70(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x78(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x48(%rsp), %rdx + xorl %r14d, %r14d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x78(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x50(%rsp), %rdx + xorl %r8d, %r8d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x78(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x58(%rsp), %rdx + xorl %r9d, %r9d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x78(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x40(%rsp) + movq %r13, 0x48(%rsp) + movq %r14, 0x50(%rsp) + movq %r15, 0x58(%rsp) + movq (%rsp), %rax + subq 0x80(%rsp), %rax + movq 0x8(%rsp), %rcx + sbbq 0x88(%rsp), %rcx + movq 0x10(%rsp), %r8 + sbbq 0x90(%rsp), %r8 + movq 0x18(%rsp), %r9 + sbbq 0x98(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, (%rsp) + adcq %r10, %rcx + movq %rcx, 0x8(%rsp) + adcq $0x0, %r8 + movq %r8, 0x10(%rsp) + adcq %rdx, %r9 + movq %r9, 0x18(%rsp) + movq 0x40(%rsp), %rax + subq 0x80(%rsp), %rax + movq 0x48(%rsp), %rcx + sbbq 0x88(%rsp), %rcx + movq 0x50(%rsp), %r8 + sbbq 0x90(%rsp), %r8 + movq 0x58(%rsp), %r9 + sbbq 0x98(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x60(%rsp) + adcq %r10, %rcx + movq %rcx, 0x68(%rsp) + adcq $0x0, %r8 + movq %r8, 0x70(%rsp) + adcq %rdx, %r9 + movq %r9, 0x78(%rsp) + xorl %r13d, %r13d + movq 0x40(%rsi), %rdx + mulxq 0xa0(%rsp), %r8, %r9 + mulxq 0xa8(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0xb0(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0xb8(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x48(%rsi), %rdx + xorl %r14d, %r14d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xb8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x50(%rsi), %rdx + xorl %r8d, %r8d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x58(%rsi), %rdx + xorl %r9d, %r9d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0xa0(%rsp) + movq %r13, 0xa8(%rsp) + movq %r14, 0xb0(%rsp) + movq %r15, 0xb8(%rsp) + movq (%rsp), %rax + subq 0x40(%rsp), %rax + movq 0x8(%rsp), %rcx + sbbq 0x48(%rsp), %rcx + movq 0x10(%rsp), %r8 + sbbq 0x50(%rsp), %r8 + movq 0x18(%rsp), %r9 + sbbq 0x58(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, (%rsp) + adcq %r10, %rcx + movq %rcx, 0x8(%rsp) + adcq $0x0, %r8 + movq %r8, 0x10(%rsp) + adcq %rdx, %r9 + movq %r9, 0x18(%rsp) + movq 0x80(%rsp), %rax + subq (%rsp), %rax + movq 0x88(%rsp), %rcx + sbbq 0x8(%rsp), %rcx + movq 0x90(%rsp), %r8 + sbbq 0x10(%rsp), %r8 + movq 0x98(%rsp), %r9 + sbbq 0x18(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x80(%rsp) + adcq %r10, %rcx + movq %rcx, 0x88(%rsp) + adcq $0x0, %r8 + movq %r8, 0x90(%rsp) + adcq %rdx, %r9 + movq %r9, 0x98(%rsp) + xorl %r13d, %r13d + movq 0x20(%rsi), %rdx + mulxq 0x60(%rsp), %r8, %r9 + mulxq 0x68(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x70(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x78(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x28(%rsi), %rdx + xorl %r14d, %r14d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x78(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x30(%rsi), %rdx + xorl %r8d, %r8d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x78(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x38(%rsi), %rdx + xorl %r9d, %r9d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x78(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x60(%rsp) + movq %r13, 0x68(%rsp) + movq %r14, 0x70(%rsp) + movq %r15, 0x78(%rsp) + xorl %r13d, %r13d + movq 0x80(%rsp), %rdx + mulxq 0x20(%rsp), %r8, %r9 + mulxq 0x28(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x30(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x38(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x88(%rsp), %rdx + xorl %r14d, %r14d + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x28(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x30(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x38(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x90(%rsp), %rdx + xorl %r8d, %r8d + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x28(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x30(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x38(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x98(%rsp), %rdx + xorl %r9d, %r9d + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x28(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x30(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x38(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x80(%rsp) + movq %r13, 0x88(%rsp) + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + movq 0x80(%rsp), %rax + subq 0x60(%rsp), %rax + movq 0x88(%rsp), %rcx + sbbq 0x68(%rsp), %rcx + movq 0x90(%rsp), %r8 + sbbq 0x70(%rsp), %r8 + movq 0x98(%rsp), %r9 + sbbq 0x78(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x80(%rsp) + adcq %r10, %rcx + movq %rcx, 0x88(%rsp) + adcq $0x0, %r8 + movq %r8, 0x90(%rsp) + adcq %rdx, %r9 + movq %r9, 0x98(%rsp) + movq 0x40(%rsi), %rax + movq 0x48(%rsi), %rdx + orq 0x50(%rsi), %rax + orq 0x58(%rsi), %rdx + orq %rdx, %rax + movq (%rsp), %r8 + movq 0x0(%rbp), %rax + cmoveq %rax, %r8 + movq 0x8(%rsp), %r9 + movq 0x8(%rbp), %rax + cmoveq %rax, %r9 + movq 0x10(%rsp), %r10 + movq 0x10(%rbp), %rax + cmoveq %rax, %r10 + movq 0x18(%rsp), %r11 + movq 0x18(%rbp), %rax + cmoveq %rax, %r11 + movq 0x80(%rsp), %r12 + movq 0x20(%rbp), %rax + cmoveq %rax, %r12 + movq 0x88(%rsp), %r13 + movq 0x28(%rbp), %rax + cmoveq %rax, %r13 + movq 0x90(%rsp), %r14 + movq 0x30(%rbp), %rax + cmoveq %rax, %r14 + movq 0x98(%rsp), %r15 + movq 0x38(%rbp), %rax + cmoveq %rax, %r15 + movq %r8, (%rdi) + movq %r9, 0x8(%rdi) + movq %r10, 0x10(%rdi) + movq %r11, 0x18(%rdi) + movq %r12, 0x20(%rdi) + movq %r13, 0x28(%rdi) + movq %r14, 0x30(%rdi) + movq %r15, 0x38(%rdi) + movq 0xa0(%rsp), %r8 + movq 0xa8(%rsp), %r9 + movq 0xb0(%rsp), %r10 + movq 0xb8(%rsp), %r11 + movl $0x1, %eax + cmoveq %rax, %r8 + movq $0xffffffff00000000, %rax + cmoveq %rax, %r9 + movq $0xffffffffffffffff, %rax + cmoveq %rax, %r10 + movl $0xfffffffe, %eax + cmoveq %rax, %r11 + movq %r8, 0x40(%rdi) + movq %r9, 0x48(%rdi) + movq %r10, 0x50(%rdi) + movq %r11, 0x58(%rdi) + CFI_INC_RSP(192) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/x86_att/p256_scalarmul_alt.S b/cbits/s2n/x86_att/p256_scalarmul_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/p256_scalarmul_alt.S @@ -0,0 +1,8672 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Scalar multiplication for P-256 +// Input scalar[4], point[8]; output res[8] +// +// extern void p256_scalarmul_alt +// (uint64_t res[static 8],const uint64_t scalar[static 4], +// const uint64_t point[static 8]); +// +// Given scalar = n and point = P, assumed to be on the NIST elliptic +// curve P-256, returns the point (X,Y) = n * P. The input and output +// are affine points, and in the case of the point at infinity as +// the result, (0,0) is returned. +// +// Standard x86-64 ABI: RDI = res, RSI = scalar, RDX = point +// Microsoft x64 ABI: RCX = res, RDX = scalar, R8 = point +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p256_scalarmul_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p256_scalarmul_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p256_scalarmul_alt) + + .text + .balign 32 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Intermediate variables on the stack. The last z2, z3 values can +// safely be overlaid on the table, which is no longer needed at the end. +// Uppercase syntactic variants make x86_att version simpler to generate + +#define SCALARB (0*NUMSIZE) +#define scalarb (0*NUMSIZE)(%rsp) +#define ACC (1*NUMSIZE) +#define acc (1*NUMSIZE)(%rsp) +#define TABENT (4*NUMSIZE) +#define tabent (4*NUMSIZE)(%rsp) + +#define TAB (7*NUMSIZE) +#define tab (7*NUMSIZE)(%rsp) + +#define Z2 (7*NUMSIZE) +#define z2 (7*NUMSIZE)(%rsp) +#define Z3 (8*NUMSIZE) +#define z3 (8*NUMSIZE)(%rsp) + +#define res (31*NUMSIZE)(%rsp) + +#define NSPACE 32*NUMSIZE + +S2N_BN_SYMBOL(p256_scalarmul_alt): + CFI_START + _CET_ENDBR + +// The Windows version literally calls the standard ABI version. +// This simplifies the proofs since subroutine offsets are fixed. + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx + CFI_CALL(Lp256_scalarmul_alt_standard) + CFI_POP(%rsi) + CFI_POP(%rdi) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p256_scalarmul_alt) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmul_alt_standard) + +Lp256_scalarmul_alt_standard: + CFI_START +#endif + +// Real start of the standard ABI code. + + CFI_PUSH(%r15) + CFI_PUSH(%r14) + CFI_PUSH(%r13) + CFI_PUSH(%r12) + CFI_PUSH(%rbp) + CFI_PUSH(%rbx) + + CFI_DEC_RSP(NSPACE) + +// Preserve the "res" and "point" input arguments. We load and process the +// scalar immediately so we don't bother preserving that input argument. +// Also, "point" is only needed early on and so its register gets re-used. + + movq %rdx, %rbx + movq %rdi, res + +// Load the digits of group order n_256 = [%r15;%r14;%r13;%r12] + + movq $0xf3b9cac2fc632551, %r12 + movq $0xbce6faada7179e84, %r13 + movq $0xffffffffffffffff, %r14 + movq $0xffffffff00000000, %r15 + +// First, reduce the input scalar mod n_256, i.e. conditionally subtract n_256 + + movq (%rsi), %r8 + subq %r12, %r8 + movq 8(%rsi), %r9 + sbbq %r13, %r9 + movq 16(%rsi), %r10 + sbbq %r14, %r10 + movq 24(%rsi), %r11 + sbbq %r15, %r11 + + cmovcq (%rsi), %r8 + cmovcq 8(%rsi), %r9 + cmovcq 16(%rsi), %r10 + cmovcq 24(%rsi), %r11 + +// Now if the top bit of the reduced scalar is set, negate it mod n_256, +// i.e. do n |-> n_256 - n. Remember the sign in %rbp so we can +// correspondingly negate the point below. + + subq %r8, %r12 + sbbq %r9, %r13 + sbbq %r10, %r14 + sbbq %r11, %r15 + + movq %r11, %rbp + shrq $63, %rbp + cmovnzq %r12, %r8 + cmovnzq %r13, %r9 + cmovnzq %r14, %r10 + cmovnzq %r15, %r11 + +// In either case then add the recoding constant 0x08888...888 to allow +// signed digits. + + movq $0x8888888888888888, %rax + addq %rax, %r8 + adcq %rax, %r9 + adcq %rax, %r10 + adcq %rax, %r11 + btc $63, %r11 + + movq %r8, SCALARB(%rsp) + movq %r9, SCALARB+8(%rsp) + movq %r10, SCALARB+16(%rsp) + movq %r11, SCALARB+24(%rsp) + +// Set the tab[0] table entry to Montgomery-Jacobian point = 1 * P +// The z coordinate is just the Montgomery form of the constant 1. + + leaq TAB(%rsp), %rdi + movq %rbx, %rsi + CFI_CALL(Lp256_scalarmul_alt_local_tomont_p256) + + leaq 32(%rbx), %rsi + leaq TAB+32(%rsp), %rdi + CFI_CALL(Lp256_scalarmul_alt_local_tomont_p256) + + movl $1, %eax + movq %rax, TAB+64(%rsp) + movq $0xffffffff00000000, %rdx + movq %rdx, TAB+72(%rsp) + subq $2, %rax + movq %rax, TAB+80(%rsp) + movq $0x00000000fffffffe, %rax + movq %rax, TAB+88(%rsp) + +// If the top bit of the scalar was set, negate (y coordinate of) the point + + movq TAB+32(%rsp), %r12 + movq TAB+40(%rsp), %r13 + movq TAB+48(%rsp), %r14 + movq TAB+56(%rsp), %r15 + + xorl %r10d, %r10d + leaq -1(%r10), %r8 + movq $0x00000000ffffffff, %r11 + movq %r11, %r9 + negq %r11 + + subq %r12, %r8 + sbbq %r13, %r9 + sbbq %r14, %r10 + sbbq %r15, %r11 + + testq %rbp, %rbp + cmovzq %r12, %r8 + cmovzq %r13, %r9 + cmovzq %r14, %r10 + cmovzq %r15, %r11 + + movq %r8, TAB+32(%rsp) + movq %r9, TAB+40(%rsp) + movq %r10, TAB+48(%rsp) + movq %r11, TAB+56(%rsp) + +// Compute and record tab[1] = 2 * p, ..., tab[7] = 8 * P + + leaq TAB+96*1(%rsp), %rdi + leaq TAB(%rsp), %rsi + CFI_CALL(Lp256_scalarmul_alt_local_p256_montjdouble) + + leaq TAB+96*2(%rsp), %rdi + leaq TAB+96*1(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp256_scalarmul_alt_local_p256_montjmixadd) + + leaq TAB+96*3(%rsp), %rdi + leaq TAB+96*1(%rsp), %rsi + CFI_CALL(Lp256_scalarmul_alt_local_p256_montjdouble) + + leaq TAB+96*4(%rsp), %rdi + leaq TAB+96*3(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp256_scalarmul_alt_local_p256_montjmixadd) + + leaq TAB+96*5(%rsp), %rdi + leaq TAB+96*2(%rsp), %rsi + CFI_CALL(Lp256_scalarmul_alt_local_p256_montjdouble) + + leaq TAB+96*6(%rsp), %rdi + leaq TAB+96*5(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp256_scalarmul_alt_local_p256_montjmixadd) + + leaq TAB+96*7(%rsp), %rdi + leaq TAB+96*3(%rsp), %rsi + CFI_CALL(Lp256_scalarmul_alt_local_p256_montjdouble) + +// Set up accumulator as table entry for top 4 bits (constant-time indexing) + + movq SCALARB+24(%rsp), %rdi + shrq $60, %rdi + + xorl %eax, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + xorl %r8d, %r8d + xorl %r9d, %r9d + xorl %r10d, %r10d + xorl %r11d, %r11d + xorl %r12d, %r12d + xorl %r13d, %r13d + xorl %r14d, %r14d + xorl %r15d, %r15d + + .set I, 1 +.rep 8 + cmpq $I, %rdi + + cmovzq TAB+96*(I-1)(%rsp), %rax + cmovzq TAB+96*(I-1)+8(%rsp), %rbx + cmovzq TAB+96*(I-1)+16(%rsp), %rcx + cmovzq TAB+96*(I-1)+24(%rsp), %rdx + cmovzq TAB+96*(I-1)+32(%rsp), %r8 + cmovzq TAB+96*(I-1)+40(%rsp), %r9 + cmovzq TAB+96*(I-1)+48(%rsp), %r10 + cmovzq TAB+96*(I-1)+56(%rsp), %r11 + cmovzq TAB+96*(I-1)+64(%rsp), %r12 + cmovzq TAB+96*(I-1)+72(%rsp), %r13 + cmovzq TAB+96*(I-1)+80(%rsp), %r14 + cmovzq TAB+96*(I-1)+88(%rsp), %r15 + .set I, (I+1) +.endr + movq %rax, ACC(%rsp) + movq %rbx, ACC+8(%rsp) + movq %rcx, ACC+16(%rsp) + movq %rdx, ACC+24(%rsp) + movq %r8, ACC+32(%rsp) + movq %r9, ACC+40(%rsp) + movq %r10, ACC+48(%rsp) + movq %r11, ACC+56(%rsp) + movq %r12, ACC+64(%rsp) + movq %r13, ACC+72(%rsp) + movq %r14, ACC+80(%rsp) + movq %r15, ACC+88(%rsp) + +// Main loop over size-4 bitfield + + movl $252, %ebp + +Lp256_scalarmul_alt_loop: + subq $4, %rbp + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp256_scalarmul_alt_local_p256_montjdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp256_scalarmul_alt_local_p256_montjdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp256_scalarmul_alt_local_p256_montjdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp256_scalarmul_alt_local_p256_montjdouble) + + movq %rbp, %rax + shrq $6, %rax + movq (%rsp,%rax,8), %rdi + movq %rbp, %rcx + shrq %cl, %rdi + andq $15, %rdi + + subq $8, %rdi + sbbq %rsi, %rsi // %rsi = sign of digit (-1 = negative) + xorq %rsi, %rdi + subq %rsi, %rdi // %rdi = absolute value of digit + + xorl %eax, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + xorl %r8d, %r8d + xorl %r9d, %r9d + xorl %r10d, %r10d + xorl %r11d, %r11d + xorl %r12d, %r12d + xorl %r13d, %r13d + xorl %r14d, %r14d + xorl %r15d, %r15d + + .set I, 1 +.rep 8 + cmpq $I, %rdi + + cmovzq TAB+96*(I-1)(%rsp), %rax + cmovzq TAB+96*(I-1)+8(%rsp), %rbx + cmovzq TAB+96*(I-1)+16(%rsp), %rcx + cmovzq TAB+96*(I-1)+24(%rsp), %rdx + cmovzq TAB+96*(I-1)+32(%rsp), %r8 + cmovzq TAB+96*(I-1)+40(%rsp), %r9 + cmovzq TAB+96*(I-1)+48(%rsp), %r10 + cmovzq TAB+96*(I-1)+56(%rsp), %r11 + cmovzq TAB+96*(I-1)+64(%rsp), %r12 + cmovzq TAB+96*(I-1)+72(%rsp), %r13 + cmovzq TAB+96*(I-1)+80(%rsp), %r14 + cmovzq TAB+96*(I-1)+88(%rsp), %r15 + .set I, (I+1) +.endr + + movq %r12, TABENT+64(%rsp) + movq %r13, TABENT+72(%rsp) + movq %r14, TABENT+80(%rsp) + movq %r15, TABENT+88(%rsp) + + xorl %r14d, %r14d + leaq -1(%r14), %r12 + movq $0x00000000ffffffff, %r15 + movq %r15, %r13 + negq %r15 + + subq %r8, %r12 + sbbq %r9, %r13 + sbbq %r10, %r14 + sbbq %r11, %r15 + + testq %rsi, %rsi + cmovnzq %r12, %r8 + cmovnzq %r13, %r9 + cmovnzq %r14, %r10 + cmovnzq %r15, %r11 + + movq %rax, TABENT(%rsp) + movq %rbx, TABENT+8(%rsp) + movq %rcx, TABENT+16(%rsp) + movq %rdx, TABENT+24(%rsp) + + movq %r8, TABENT+32(%rsp) + movq %r9, TABENT+40(%rsp) + movq %r10, TABENT+48(%rsp) + movq %r11, TABENT+56(%rsp) + + leaq TABENT(%rsp), %rdx + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp256_scalarmul_alt_local_p256_montjadd) + + testq %rbp, %rbp + jne Lp256_scalarmul_alt_loop + +// Let z2 = 1/z^2 and z3 = 1/z^3, both without Montgomery form + + leaq Z2(%rsp), %rdi + leaq ACC+64(%rsp), %rsi + CFI_CALL(Lp256_scalarmul_alt_local_montsqr_p256) + + leaq Z3(%rsp), %rdi + leaq ACC+64(%rsp), %rsi + leaq Z2(%rsp), %rdx + CFI_CALL(Lp256_scalarmul_alt_local_montmul_p256) + + leaq Z2(%rsp), %rdi + leaq Z3(%rsp), %rsi + CFI_CALL(Lp256_scalarmul_alt_local_demont_p256) + + leaq Z3(%rsp), %rdi + leaq Z2(%rsp), %rsi + CFI_CALL(Lp256_scalarmul_alt_local_inv_p256) + + leaq Z2(%rsp), %rdi + leaq ACC+64(%rsp), %rsi + leaq Z3(%rsp), %rdx + CFI_CALL(Lp256_scalarmul_alt_local_montmul_p256) + +// Convert back from Jacobian (X, Y, Z) |-> (X/Z^2, Y/Z^3) + + movq res, %rdi + leaq ACC(%rsp), %rsi + leaq Z2(%rsp), %rdx + movq %rdi, %rbx + CFI_CALL(Lp256_scalarmul_alt_local_montmul_p256) + + leaq 32(%rbx), %rdi + leaq ACC+32(%rsp), %rsi + leaq Z3(%rsp), %rdx + CFI_CALL(Lp256_scalarmul_alt_local_montmul_p256) + +// Restore stack and registers and return + + CFI_INC_RSP(NSPACE) + CFI_POP(%rbx) + CFI_POP(%rbp) + CFI_POP(%r12) + CFI_POP(%r13) + CFI_POP(%r14) + CFI_POP(%r15) + CFI_RET + +#if WINDOWS_ABI +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmul_alt_standard) +#else +S2N_BN_SIZE_DIRECTIVE(p256_scalarmul_alt) +#endif + +// Local copies of subroutines, complete clones at the moment + +Lp256_scalarmul_alt_local_demont_p256: + CFI_START + movq (%rsi), %r8 + movq 0x8(%rsi), %r9 + movq 0x10(%rsi), %r10 + movq 0x18(%rsi), %r11 + movabsq $0x100000000, %rcx + movq %r8, %rax + mulq %rcx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rsi, %rsi + movq %r9, %rax + mulq %rcx + subq %rsi, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rsi, %rsi + negq %rcx + negq %rsi + incq %rcx + movq %r8, %rax + mulq %rcx + addq %rax, %r11 + adcq %rdx, %rsi + sbbq %r8, %r8 + negq %r8 + movq %r9, %rax + mulq %rcx + addq %rax, %rsi + adcq %rdx, %r8 + negq %rcx + incq %rcx + movq %r10, %rax + mulq %rcx + addq %rax, %r11 + adcq %rdx, %rsi + sbbq %r9, %r9 + movq %r11, %rax + mulq %rcx + subq %r9, %rdx + addq %rax, %rsi + adcq %rdx, %r8 + sbbq %r9, %r9 + negq %rcx + negq %r9 + incq %rcx + movq %r10, %rax + mulq %rcx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r10, %r10 + negq %r10 + movq %r11, %rax + mulq %rcx + addq %rax, %r9 + adcq %rdx, %r10 + movq %rsi, (%rdi) + movq %r8, 0x8(%rdi) + movq %r9, 0x10(%rdi) + movq %r10, 0x18(%rdi) + CFI_RET + +Lp256_scalarmul_alt_local_inv_p256: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(240) + movq %rdi, 0xe0(%rsp) + xorl %ecx, %ecx + movl $0xffffffff, %edx + movq %rdx, %rbx + leaq -0x1(%rcx), %rax + negq %rdx + movq %rax, (%rsp) + movq %rbx, 0x8(%rsp) + movq %rcx, 0x10(%rsp) + movq %rdx, 0x18(%rsp) + movq %rcx, 0x20(%rsp) + movq (%rsi), %r8 + movq 0x8(%rsi), %r9 + movq 0x10(%rsi), %r10 + movq 0x18(%rsi), %r11 + leaq 0x1(%rcx), %rax + addq %r8, %rax + leaq -0x1(%rdx), %rbx + adcq %r9, %rbx + notq %rcx + adcq %r10, %rcx + notq %rdx + adcq %r11, %rdx + cmovaeq %r8, %rax + cmovaeq %r9, %rbx + cmovaeq %r10, %rcx + cmovaeq %r11, %rdx + movq %rax, 0x28(%rsp) + movq %rbx, 0x30(%rsp) + movq %rcx, 0x38(%rsp) + movq %rdx, 0x40(%rsp) + xorl %eax, %eax + movq %rax, 0x48(%rsp) + xorl %eax, %eax + movq %rax, 0x50(%rsp) + movq %rax, 0x58(%rsp) + movq %rax, 0x60(%rsp) + movq %rax, 0x68(%rsp) + movabsq $0x4000000000000, %rcx + movq %rcx, 0x78(%rsp) + movq %rax, 0x80(%rsp) + movq %rax, 0x88(%rsp) + movq %rax, 0x90(%rsp) + movq $0xa, 0xb0(%rsp) + movq $0x1, 0xb8(%rsp) + jmp Lp256_scalarmul_alt_inv_midloop +Lp256_scalarmul_alt_inv_loop: + movq %r8, %r9 + sarq $0x3f, %r9 + xorq %r9, %r8 + subq %r9, %r8 + movq %r10, %r11 + sarq $0x3f, %r11 + xorq %r11, %r10 + subq %r11, %r10 + movq %r12, %r13 + sarq $0x3f, %r13 + xorq %r13, %r12 + subq %r13, %r12 + movq %r14, %r15 + sarq $0x3f, %r15 + xorq %r15, %r14 + subq %r15, %r14 + movq %r8, %rax + andq %r9, %rax + movq %r10, %rdi + andq %r11, %rdi + addq %rax, %rdi + movq %rdi, 0xa0(%rsp) + movq %r12, %rax + andq %r13, %rax + movq %r14, %rsi + andq %r15, %rsi + addq %rax, %rsi + movq %rsi, 0xa8(%rsp) + xorl %ebx, %ebx + movq (%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rdi + adcq %rdx, %rbx + movq 0x28(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rdi + adcq %rdx, %rbx + xorl %ebp, %ebp + movq (%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x28(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + xorl %ecx, %ecx + movq 0x8(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x30(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + shrdq $0x3b, %rbx, %rdi + movq %rdi, (%rsp) + xorl %edi, %edi + movq 0x8(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rbp + adcq %rdx, %rdi + movq 0x30(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rdi + shrdq $0x3b, %rbp, %rsi + movq %rsi, 0x28(%rsp) + xorl %esi, %esi + movq 0x10(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rsi + movq 0x38(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rsi + shrdq $0x3b, %rcx, %rbx + movq %rbx, 0x8(%rsp) + xorl %ebx, %ebx + movq 0x10(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rdi + adcq %rdx, %rbx + movq 0x38(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rdi + adcq %rdx, %rbx + shrdq $0x3b, %rdi, %rbp + movq %rbp, 0x30(%rsp) + movq 0x18(%rsp), %rax + xorq %r9, %rax + movq 0x20(%rsp), %rbp + xorq %r9, %rbp + andq %r8, %rbp + negq %rbp + mulq %r8 + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x40(%rsp), %rax + xorq %r11, %rax + movq 0x48(%rsp), %rdx + xorq %r11, %rdx + andq %r10, %rdx + subq %rdx, %rbp + mulq %r10 + addq %rax, %rsi + adcq %rdx, %rbp + shrdq $0x3b, %rsi, %rcx + movq %rcx, 0x10(%rsp) + shrdq $0x3b, %rbp, %rsi + sarq $0x3b, %rbp + movq 0x18(%rsp), %rax + movq %rsi, 0x18(%rsp) + movq 0x20(%rsp), %rsi + movq %rbp, 0x20(%rsp) + xorq %r13, %rax + xorq %r13, %rsi + andq %r12, %rsi + negq %rsi + mulq %r12 + addq %rax, %rbx + adcq %rdx, %rsi + movq 0x40(%rsp), %rax + xorq %r15, %rax + movq 0x48(%rsp), %rdx + xorq %r15, %rdx + andq %r14, %rdx + subq %rdx, %rsi + mulq %r14 + addq %rax, %rbx + adcq %rdx, %rsi + shrdq $0x3b, %rbx, %rdi + movq %rdi, 0x38(%rsp) + shrdq $0x3b, %rsi, %rbx + movq %rbx, 0x40(%rsp) + sarq $0x3b, %rsi + movq %rsi, 0x48(%rsp) + movq 0xa0(%rsp), %rbx + movq 0xa8(%rsp), %rbp + xorl %ecx, %ecx + movq 0x50(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x78(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + xorl %esi, %esi + movq 0x50(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, 0x50(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq 0x78(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, 0x78(%rsp) + xorl %ebx, %ebx + movq 0x58(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq 0x80(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rbx + xorl %ebp, %ebp + movq 0x58(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rcx, 0x58(%rsp) + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x80(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + movq %rsi, 0x80(%rsp) + xorl %ecx, %ecx + movq 0x60(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x88(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + xorl %esi, %esi + movq 0x60(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, 0x60(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq 0x88(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, 0x88(%rsp) + movq 0x68(%rsp), %rax + xorq %r9, %rax + movq %r9, %rbx + andq %r8, %rbx + negq %rbx + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq 0x90(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %rbx + mulq %r10 + addq %rax, %rcx + adcq %rbx, %rdx + movq 0x68(%rsp), %rax + movq %rcx, 0x68(%rsp) + movq %rdx, 0x70(%rsp) + xorq %r13, %rax + movq %r13, %rcx + andq %r12, %rcx + negq %rcx + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rcx + movq 0x90(%rsp), %rax + xorq %r15, %rax + movq %r15, %rdx + andq %r14, %rdx + subq %rdx, %rcx + mulq %r14 + addq %rax, %rsi + adcq %rcx, %rdx + movq %rsi, 0x90(%rsp) + movq %rdx, 0x98(%rsp) + movabsq $0xe000000000000000, %r8 + addq 0x50(%rsp), %r8 + movq $0xffffffffffffffff, %r9 + adcq 0x58(%rsp), %r9 + movq $0x1fffffff, %r10 + adcq 0x60(%rsp), %r10 + movabsq $0x2000000000000000, %r11 + adcq 0x68(%rsp), %r11 + movabsq $0x1fffffffe0000000, %r12 + adcq 0x70(%rsp), %r12 + movq %r8, %rbx + shlq $0x20, %rbx + movabsq $0xffffffff00000001, %rax + mulq %r8 + shrq $0x20, %r8 + addq %rbx, %r9 + adcq %r8, %r10 + adcq %rax, %r11 + adcq %rdx, %r12 + sbbq %rax, %rax + movl $0xffffffff, %ebx + andq %rax, %rbx + movabsq $0xffffffff00000001, %rdx + andq %rax, %rdx + subq %rax, %r9 + movq %r9, 0x50(%rsp) + sbbq %rbx, %r10 + movq %r10, 0x58(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x60(%rsp) + sbbq %rdx, %r12 + movq %r12, 0x68(%rsp) + movabsq $0xe000000000000000, %r8 + addq 0x78(%rsp), %r8 + movq $0xffffffffffffffff, %r9 + adcq 0x80(%rsp), %r9 + movq $0x1fffffff, %r10 + adcq 0x88(%rsp), %r10 + movabsq $0x2000000000000000, %r11 + adcq 0x90(%rsp), %r11 + movabsq $0x1fffffffe0000000, %r12 + adcq 0x98(%rsp), %r12 + movq %r8, %rbx + shlq $0x20, %rbx + movabsq $0xffffffff00000001, %rax + mulq %r8 + shrq $0x20, %r8 + addq %rbx, %r9 + adcq %r8, %r10 + adcq %rax, %r11 + adcq %rdx, %r12 + sbbq %rax, %rax + movl $0xffffffff, %ebx + andq %rax, %rbx + movabsq $0xffffffff00000001, %rdx + andq %rax, %rdx + subq %rax, %r9 + movq %r9, 0x78(%rsp) + sbbq %rbx, %r10 + movq %r10, 0x80(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x88(%rsp) + sbbq %rdx, %r12 + movq %r12, 0x90(%rsp) +Lp256_scalarmul_alt_inv_midloop: + movq 0xb8(%rsp), %rsi + movq (%rsp), %rdx + movq 0x28(%rsp), %rcx + movq %rdx, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq $0xfffffffffffffffe, %rax + xorl %ebp, %ebp + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %rdx + leaq (%rcx,%rax), %rdi + shlq $0x16, %rdx + shlq $0x16, %rdi + sarq $0x2b, %rdx + sarq $0x2b, %rdi + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %rbx + leaq (%rcx,%rax), %rcx + sarq $0x2a, %rbx + sarq $0x2a, %rcx + movq %rdx, 0xc0(%rsp) + movq %rbx, 0xc8(%rsp) + movq %rdi, 0xd0(%rsp) + movq %rcx, 0xd8(%rsp) + movq (%rsp), %r12 + imulq %r12, %rdi + imulq %rdx, %r12 + movq 0x28(%rsp), %r13 + imulq %r13, %rbx + imulq %rcx, %r13 + addq %rbx, %r12 + addq %rdi, %r13 + sarq $0x14, %r12 + sarq $0x14, %r13 + movq %r12, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + movq %r13, %rcx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq $0xfffffffffffffffe, %rax + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %r8 + leaq (%rcx,%rax), %r10 + shlq $0x16, %r8 + shlq $0x16, %r10 + sarq $0x2b, %r8 + sarq $0x2b, %r10 + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %r15 + leaq (%rcx,%rax), %r11 + sarq $0x2a, %r15 + sarq $0x2a, %r11 + movq %r13, %rbx + movq %r12, %rcx + imulq %r8, %r12 + imulq %r15, %rbx + addq %rbx, %r12 + imulq %r11, %r13 + imulq %r10, %rcx + addq %rcx, %r13 + sarq $0x14, %r12 + sarq $0x14, %r13 + movq %r12, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + movq %r13, %rcx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq 0xc0(%rsp), %rax + imulq %r8, %rax + movq 0xd0(%rsp), %rdx + imulq %r15, %rdx + imulq 0xc8(%rsp), %r8 + imulq 0xd8(%rsp), %r15 + addq %r8, %r15 + leaq (%rax,%rdx), %r9 + movq 0xc0(%rsp), %rax + imulq %r10, %rax + movq 0xd0(%rsp), %rdx + imulq %r11, %rdx + imulq 0xc8(%rsp), %r10 + imulq 0xd8(%rsp), %r11 + addq %r10, %r11 + leaq (%rax,%rdx), %r13 + movq $0xfffffffffffffffe, %rax + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %r8 + leaq (%rcx,%rax), %r12 + shlq $0x15, %r8 + shlq $0x15, %r12 + sarq $0x2b, %r8 + sarq $0x2b, %r12 + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %r10 + leaq (%rcx,%rax), %r14 + sarq $0x2b, %r10 + sarq $0x2b, %r14 + movq %r9, %rax + imulq %r8, %rax + movq %r13, %rdx + imulq %r10, %rdx + imulq %r15, %r8 + imulq %r11, %r10 + addq %r8, %r10 + leaq (%rax,%rdx), %r8 + movq %r9, %rax + imulq %r12, %rax + movq %r13, %rdx + imulq %r14, %rdx + imulq %r15, %r12 + imulq %r11, %r14 + addq %r12, %r14 + leaq (%rax,%rdx), %r12 + movq %rsi, 0xb8(%rsp) + decq 0xb0(%rsp) + jne Lp256_scalarmul_alt_inv_loop + movq (%rsp), %rax + movq 0x28(%rsp), %rcx + imulq %r8, %rax + imulq %r10, %rcx + addq %rcx, %rax + sarq $0x3f, %rax + movq %r8, %r9 + sarq $0x3f, %r9 + xorq %r9, %r8 + subq %r9, %r8 + xorq %rax, %r9 + movq %r10, %r11 + sarq $0x3f, %r11 + xorq %r11, %r10 + subq %r11, %r10 + xorq %rax, %r11 + movq %r12, %r13 + sarq $0x3f, %r13 + xorq %r13, %r12 + subq %r13, %r12 + xorq %rax, %r13 + movq %r14, %r15 + sarq $0x3f, %r15 + xorq %r15, %r14 + subq %r15, %r14 + xorq %rax, %r15 + movq %r8, %rax + andq %r9, %rax + movq %r10, %r12 + andq %r11, %r12 + addq %rax, %r12 + xorl %r13d, %r13d + movq 0x50(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x78(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movq 0x58(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r13 + adcq %rdx, %r14 + movq 0x80(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq 0x60(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x88(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x68(%rsp), %rax + xorq %r9, %rax + andq %r8, %r9 + negq %r9 + mulq %r8 + addq %rax, %r15 + adcq %rdx, %r9 + movq 0x90(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %r9 + mulq %r10 + addq %rax, %r15 + adcq %rdx, %r9 + movq %r12, 0x50(%rsp) + movq %r13, 0x58(%rsp) + movq %r14, 0x60(%rsp) + movq %r15, 0x68(%rsp) + movq %r9, 0x70(%rsp) + movabsq $0xe000000000000000, %r8 + addq 0x50(%rsp), %r8 + movq $0xffffffffffffffff, %r9 + adcq 0x58(%rsp), %r9 + movq $0x1fffffff, %r10 + adcq 0x60(%rsp), %r10 + movabsq $0x2000000000000000, %r11 + adcq 0x68(%rsp), %r11 + movabsq $0x1fffffffe0000000, %r12 + adcq 0x70(%rsp), %r12 + movq %r8, %rbx + shlq $0x20, %rbx + movabsq $0xffffffff00000001, %rax + mulq %r8 + shrq $0x20, %r8 + addq %rbx, %r9 + adcq %r8, %r10 + adcq %rax, %r11 + adcq %rdx, %r12 + sbbq %rax, %rax + movl $0xffffffff, %ebx + andq %rax, %rbx + movabsq $0xffffffff00000001, %rdx + andq %rax, %rdx + subq %rax, %r9 + movq %r9, 0x50(%rsp) + sbbq %rbx, %r10 + movq %r10, 0x58(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x60(%rsp) + sbbq %rdx, %r12 + movq %r12, 0x68(%rsp) + movq 0x50(%rsp), %r8 + movq 0x58(%rsp), %r9 + movq 0x60(%rsp), %r10 + movq 0x68(%rsp), %r11 + movl $0x1, %eax + movl $0xffffffff, %ebx + leaq -0x2(%rax), %rcx + leaq -0x1(%rbx), %rdx + notq %rbx + addq %r8, %rax + adcq %r9, %rbx + adcq %r10, %rcx + adcq %r11, %rdx + cmovaeq %r8, %rax + cmovaeq %r9, %rbx + cmovaeq %r10, %rcx + cmovaeq %r11, %rdx + movq 0xe0(%rsp), %rdi + movq %rax, (%rdi) + movq %rbx, 0x8(%rdi) + movq %rcx, 0x10(%rdi) + movq %rdx, 0x18(%rdi) + CFI_INC_RSP(240) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +Lp256_scalarmul_alt_local_montmul_p256: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + movq %rdx, %rcx + movq (%rcx), %rbx + movq (%rsi), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x8(%rsi), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x10(%rsi), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x18(%rsi), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x8(%rcx), %rbx + xorl %r13d, %r13d + movq (%rsi), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x8(%rsi), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x10(%rsi), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x18(%rsi), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x10(%rcx), %rbx + xorl %r15d, %r15d + movq (%rsi), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x8(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x10(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x18(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x18(%rcx), %rbx + xorl %r8d, %r8d + movq (%rsi), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x8(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x10(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x18(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, (%rdi) + movq %r13, 0x8(%rdi) + movq %r14, 0x10(%rdi) + movq %r15, 0x18(%rdi) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbx) + CFI_RET + +Lp256_scalarmul_alt_local_montsqr_p256: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + movq (%rsi), %rax + movq %rax, %rbx + mulq %rax + movq %rax, %r8 + movq %rdx, %r15 + movq 0x8(%rsi), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x18(%rsi), %rax + movq %rax, %r13 + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x10(%rsi), %rax + movq %rax, %rbx + mulq %r13 + movq %rax, %r13 + movq %rdx, %r14 + movq (%rsi), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + movq 0x8(%rsi), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq 0x18(%rsi), %rbx + movq 0x8(%rsi), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + xorl %ecx, %ecx + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %rcx, %rcx + movq 0x8(%rsi), %rax + mulq %rax + addq %r15, %r9 + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + movq 0x10(%rsi), %rax + mulq %rax + negq %r15 + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %r15, %r15 + movq 0x18(%rsi), %rax + mulq %rax + negq %r15 + adcq %rax, %r14 + adcq %rcx, %rdx + movq %rdx, %r15 + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rcx, %rcx + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + xorl %r8d, %r8d + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r8, %r14 + adcq %r8, %r15 + adcq %r8, %r8 + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + xorl %r9d, %r9d + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rbx), %rbx + adcq %r13, %rbx + leaq -0x1(%r9), %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, (%rdi) + movq %r13, 0x8(%rdi) + movq %r14, 0x10(%rdi) + movq %r15, 0x18(%rdi) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbx) + CFI_RET + + +Lp256_scalarmul_alt_local_tomont_p256: + CFI_START + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + movl $0x3, %ecx + movq (%rsi), %rax + mulq %rcx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x8(%rsi), %rax + mulq %rcx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x10(%rsi), %rax + mulq %rcx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x18(%rsi), %rax + mulq %rcx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movabsq $0xfffffffbffffffff, %rcx + xorl %r13d, %r13d + movq (%rsi), %rax + mulq %rcx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x8(%rsi), %rax + mulq %rcx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x10(%rsi), %rax + mulq %rcx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x18(%rsi), %rax + mulq %rcx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rcx + movq %r8, %rax + mulq %rcx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rcx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rcx + leaq 0x2(%rcx), %rcx + movq %r8, %rax + mulq %rcx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rcx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq $0xfffffffffffffffe, %rcx + xorl %r15d, %r15d + movq (%rsi), %rax + mulq %rcx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x8(%rsi), %rax + mulq %rcx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x10(%rsi), %rax + mulq %rcx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x18(%rsi), %rax + mulq %rcx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movabsq $0x4fffffffd, %rcx + xorl %r8d, %r8d + movq (%rsi), %rax + mulq %rcx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x8(%rsi), %rax + mulq %rcx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x10(%rsi), %rax + mulq %rcx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x18(%rsi), %rax + mulq %rcx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + movabsq $0x100000000, %rcx + movq %r10, %rax + mulq %rcx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq %r11, %rax + mulq %rcx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + notq %rcx + leaq 0x2(%rcx), %rcx + movq %r10, %rax + mulq %rcx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq %r11, %rax + mulq %rcx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r9, %r9 + subq %r9, %r8 + xorl %edx, %edx + leaq -0x1(%rdx), %r9 + incq %rdx + addq %r12, %rdx + decq %rcx + adcq %r13, %rcx + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rdx, %r12 + cmovbq %rcx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, (%rdi) + movq %r13, 0x8(%rdi) + movq %r14, 0x10(%rdi) + movq %r15, 0x18(%rdi) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_RET + +Lp256_scalarmul_alt_local_p256_montjadd: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(224) + movq %rdx, %rbp + movq 0x40(%rsi), %rax + movq %rax, %rbx + mulq %rax + movq %rax, %r8 + movq %rdx, %r15 + movq 0x48(%rsi), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x58(%rsi), %rax + movq %rax, %r13 + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x50(%rsi), %rax + movq %rax, %rbx + mulq %r13 + movq %rax, %r13 + movq %rdx, %r14 + movq 0x40(%rsi), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + movq 0x48(%rsi), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq 0x58(%rsi), %rbx + movq 0x48(%rsi), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + xorl %ecx, %ecx + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %rcx, %rcx + movq 0x48(%rsi), %rax + mulq %rax + addq %r15, %r9 + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + movq 0x50(%rsi), %rax + mulq %rax + negq %r15 + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %r15, %r15 + movq 0x58(%rsi), %rax + mulq %rax + negq %r15 + adcq %rax, %r14 + adcq %rcx, %rdx + movq %rdx, %r15 + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rcx, %rcx + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + xorl %r8d, %r8d + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r8, %r14 + adcq %r8, %r15 + adcq %r8, %r8 + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + xorl %r9d, %r9d + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rbx), %rbx + adcq %r13, %rbx + leaq -0x1(%r9), %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, (%rsp) + movq %r13, 0x8(%rsp) + movq %r14, 0x10(%rsp) + movq %r15, 0x18(%rsp) + movq 0x40(%rbp), %rax + movq %rax, %rbx + mulq %rax + movq %rax, %r8 + movq %rdx, %r15 + movq 0x48(%rbp), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x58(%rbp), %rax + movq %rax, %r13 + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x50(%rbp), %rax + movq %rax, %rbx + mulq %r13 + movq %rax, %r13 + movq %rdx, %r14 + movq 0x40(%rbp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + movq 0x48(%rbp), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq 0x58(%rbp), %rbx + movq 0x48(%rbp), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + xorl %ecx, %ecx + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %rcx, %rcx + movq 0x48(%rbp), %rax + mulq %rax + addq %r15, %r9 + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + movq 0x50(%rbp), %rax + mulq %rax + negq %r15 + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %r15, %r15 + movq 0x58(%rbp), %rax + mulq %rax + negq %r15 + adcq %rax, %r14 + adcq %rcx, %rdx + movq %rdx, %r15 + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rcx, %rcx + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + xorl %r8d, %r8d + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r8, %r14 + adcq %r8, %r15 + adcq %r8, %r8 + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + xorl %r9d, %r9d + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rbx), %rbx + adcq %r13, %rbx + leaq -0x1(%r9), %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0xa0(%rsp) + movq %r13, 0xa8(%rsp) + movq %r14, 0xb0(%rsp) + movq %r15, 0xb8(%rsp) + movq 0x20(%rsi), %rbx + movq 0x40(%rbp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x48(%rbp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x50(%rbp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x58(%rbp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x28(%rsi), %rbx + xorl %r13d, %r13d + movq 0x40(%rbp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x48(%rbp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x50(%rbp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x58(%rbp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x30(%rsi), %rbx + xorl %r15d, %r15d + movq 0x40(%rbp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x48(%rbp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x50(%rbp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x58(%rbp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x38(%rsi), %rbx + xorl %r8d, %r8d + movq 0x40(%rbp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x48(%rbp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x50(%rbp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x58(%rbp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0xc0(%rsp) + movq %r13, 0xc8(%rsp) + movq %r14, 0xd0(%rsp) + movq %r15, 0xd8(%rsp) + movq 0x20(%rbp), %rbx + movq 0x40(%rsi), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x48(%rsi), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x50(%rsi), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x58(%rsi), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x28(%rbp), %rbx + xorl %r13d, %r13d + movq 0x40(%rsi), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x48(%rsi), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x50(%rsi), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x58(%rsi), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x30(%rbp), %rbx + xorl %r15d, %r15d + movq 0x40(%rsi), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x48(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x50(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x58(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x38(%rbp), %rbx + xorl %r8d, %r8d + movq 0x40(%rsi), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x48(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x50(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x58(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x20(%rsp) + movq %r13, 0x28(%rsp) + movq %r14, 0x30(%rsp) + movq %r15, 0x38(%rsp) + movq 0x0(%rbp), %rbx + movq (%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x8(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x10(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x18(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x8(%rbp), %rbx + xorl %r13d, %r13d + movq (%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x10(%rbp), %rbx + xorl %r15d, %r15d + movq (%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x18(%rbp), %rbx + xorl %r8d, %r8d + movq (%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x40(%rsp) + movq %r13, 0x48(%rsp) + movq %r14, 0x50(%rsp) + movq %r15, 0x58(%rsp) + movq (%rsi), %rbx + movq 0xa0(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0xa8(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0xb0(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0xb8(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x8(%rsi), %rbx + xorl %r13d, %r13d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x10(%rsi), %rbx + xorl %r15d, %r15d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x18(%rsi), %rbx + xorl %r8d, %r8d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x80(%rsp) + movq %r13, 0x88(%rsp) + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + movq 0x20(%rsp), %rbx + movq (%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x8(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x10(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x18(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x28(%rsp), %rbx + xorl %r13d, %r13d + movq (%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x30(%rsp), %rbx + xorl %r15d, %r15d + movq (%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x38(%rsp), %rbx + xorl %r8d, %r8d + movq (%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x20(%rsp) + movq %r13, 0x28(%rsp) + movq %r14, 0x30(%rsp) + movq %r15, 0x38(%rsp) + movq 0xc0(%rsp), %rbx + movq 0xa0(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0xa8(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0xb0(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0xb8(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0xc8(%rsp), %rbx + xorl %r13d, %r13d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0xd0(%rsp), %rbx + xorl %r15d, %r15d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0xd8(%rsp), %rbx + xorl %r8d, %r8d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0xc0(%rsp) + movq %r13, 0xc8(%rsp) + movq %r14, 0xd0(%rsp) + movq %r15, 0xd8(%rsp) + movq 0x40(%rsp), %rax + subq 0x80(%rsp), %rax + movq 0x48(%rsp), %rcx + sbbq 0x88(%rsp), %rcx + movq 0x50(%rsp), %r8 + sbbq 0x90(%rsp), %r8 + movq 0x58(%rsp), %r9 + sbbq 0x98(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0xa0(%rsp) + adcq %r10, %rcx + movq %rcx, 0xa8(%rsp) + adcq $0x0, %r8 + movq %r8, 0xb0(%rsp) + adcq %rdx, %r9 + movq %r9, 0xb8(%rsp) + movq 0x20(%rsp), %rax + subq 0xc0(%rsp), %rax + movq 0x28(%rsp), %rcx + sbbq 0xc8(%rsp), %rcx + movq 0x30(%rsp), %r8 + sbbq 0xd0(%rsp), %r8 + movq 0x38(%rsp), %r9 + sbbq 0xd8(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x20(%rsp) + adcq %r10, %rcx + movq %rcx, 0x28(%rsp) + adcq $0x0, %r8 + movq %r8, 0x30(%rsp) + adcq %rdx, %r9 + movq %r9, 0x38(%rsp) + movq 0xa0(%rsp), %rax + movq %rax, %rbx + mulq %rax + movq %rax, %r8 + movq %rdx, %r15 + movq 0xa8(%rsp), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0xb8(%rsp), %rax + movq %rax, %r13 + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0xb0(%rsp), %rax + movq %rax, %rbx + mulq %r13 + movq %rax, %r13 + movq %rdx, %r14 + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + movq 0xa8(%rsp), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq 0xb8(%rsp), %rbx + movq 0xa8(%rsp), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + xorl %ecx, %ecx + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %rcx, %rcx + movq 0xa8(%rsp), %rax + mulq %rax + addq %r15, %r9 + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + movq 0xb0(%rsp), %rax + mulq %rax + negq %r15 + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %r15, %r15 + movq 0xb8(%rsp), %rax + mulq %rax + negq %r15 + adcq %rax, %r14 + adcq %rcx, %rdx + movq %rdx, %r15 + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rcx, %rcx + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + xorl %r8d, %r8d + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r8, %r14 + adcq %r8, %r15 + adcq %r8, %r8 + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + xorl %r9d, %r9d + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rbx), %rbx + adcq %r13, %rbx + leaq -0x1(%r9), %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x60(%rsp) + movq %r13, 0x68(%rsp) + movq %r14, 0x70(%rsp) + movq %r15, 0x78(%rsp) + movq 0x20(%rsp), %rax + movq %rax, %rbx + mulq %rax + movq %rax, %r8 + movq %rdx, %r15 + movq 0x28(%rsp), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x38(%rsp), %rax + movq %rax, %r13 + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x30(%rsp), %rax + movq %rax, %rbx + mulq %r13 + movq %rax, %r13 + movq %rdx, %r14 + movq 0x20(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + movq 0x28(%rsp), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq 0x38(%rsp), %rbx + movq 0x28(%rsp), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + xorl %ecx, %ecx + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %rcx, %rcx + movq 0x28(%rsp), %rax + mulq %rax + addq %r15, %r9 + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + movq 0x30(%rsp), %rax + mulq %rax + negq %r15 + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %r15, %r15 + movq 0x38(%rsp), %rax + mulq %rax + negq %r15 + adcq %rax, %r14 + adcq %rcx, %rdx + movq %rdx, %r15 + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rcx, %rcx + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + xorl %r8d, %r8d + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r8, %r14 + adcq %r8, %r15 + adcq %r8, %r8 + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + xorl %r9d, %r9d + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rbx), %rbx + adcq %r13, %rbx + leaq -0x1(%r9), %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, (%rsp) + movq %r13, 0x8(%rsp) + movq %r14, 0x10(%rsp) + movq %r15, 0x18(%rsp) + movq 0x80(%rsp), %rbx + movq 0x60(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x68(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x70(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x78(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x88(%rsp), %rbx + xorl %r13d, %r13d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x90(%rsp), %rbx + xorl %r15d, %r15d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x98(%rsp), %rbx + xorl %r8d, %r8d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x80(%rsp) + movq %r13, 0x88(%rsp) + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + movq 0x40(%rsp), %rbx + movq 0x60(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x68(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x70(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x78(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x48(%rsp), %rbx + xorl %r13d, %r13d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x50(%rsp), %rbx + xorl %r15d, %r15d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x58(%rsp), %rbx + xorl %r8d, %r8d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x40(%rsp) + movq %r13, 0x48(%rsp) + movq %r14, 0x50(%rsp) + movq %r15, 0x58(%rsp) + movq (%rsp), %rax + subq 0x80(%rsp), %rax + movq 0x8(%rsp), %rcx + sbbq 0x88(%rsp), %rcx + movq 0x10(%rsp), %r8 + sbbq 0x90(%rsp), %r8 + movq 0x18(%rsp), %r9 + sbbq 0x98(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, (%rsp) + adcq %r10, %rcx + movq %rcx, 0x8(%rsp) + adcq $0x0, %r8 + movq %r8, 0x10(%rsp) + adcq %rdx, %r9 + movq %r9, 0x18(%rsp) + movq 0x40(%rsp), %rax + subq 0x80(%rsp), %rax + movq 0x48(%rsp), %rcx + sbbq 0x88(%rsp), %rcx + movq 0x50(%rsp), %r8 + sbbq 0x90(%rsp), %r8 + movq 0x58(%rsp), %r9 + sbbq 0x98(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x60(%rsp) + adcq %r10, %rcx + movq %rcx, 0x68(%rsp) + adcq $0x0, %r8 + movq %r8, 0x70(%rsp) + adcq %rdx, %r9 + movq %r9, 0x78(%rsp) + movq 0x40(%rsi), %rbx + movq 0xa0(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0xa8(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0xb0(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0xb8(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x48(%rsi), %rbx + xorl %r13d, %r13d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x50(%rsi), %rbx + xorl %r15d, %r15d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x58(%rsi), %rbx + xorl %r8d, %r8d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0xa0(%rsp) + movq %r13, 0xa8(%rsp) + movq %r14, 0xb0(%rsp) + movq %r15, 0xb8(%rsp) + movq (%rsp), %rax + subq 0x40(%rsp), %rax + movq 0x8(%rsp), %rcx + sbbq 0x48(%rsp), %rcx + movq 0x10(%rsp), %r8 + sbbq 0x50(%rsp), %r8 + movq 0x18(%rsp), %r9 + sbbq 0x58(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, (%rsp) + adcq %r10, %rcx + movq %rcx, 0x8(%rsp) + adcq $0x0, %r8 + movq %r8, 0x10(%rsp) + adcq %rdx, %r9 + movq %r9, 0x18(%rsp) + movq 0x80(%rsp), %rax + subq (%rsp), %rax + movq 0x88(%rsp), %rcx + sbbq 0x8(%rsp), %rcx + movq 0x90(%rsp), %r8 + sbbq 0x10(%rsp), %r8 + movq 0x98(%rsp), %r9 + sbbq 0x18(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x80(%rsp) + adcq %r10, %rcx + movq %rcx, 0x88(%rsp) + adcq $0x0, %r8 + movq %r8, 0x90(%rsp) + adcq %rdx, %r9 + movq %r9, 0x98(%rsp) + movq 0xc0(%rsp), %rbx + movq 0x60(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x68(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x70(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x78(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0xc8(%rsp), %rbx + xorl %r13d, %r13d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0xd0(%rsp), %rbx + xorl %r15d, %r15d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0xd8(%rsp), %rbx + xorl %r8d, %r8d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x60(%rsp) + movq %r13, 0x68(%rsp) + movq %r14, 0x70(%rsp) + movq %r15, 0x78(%rsp) + movq 0x40(%rbp), %rbx + movq 0xa0(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0xa8(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0xb0(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0xb8(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x48(%rbp), %rbx + xorl %r13d, %r13d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x50(%rbp), %rbx + xorl %r15d, %r15d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x58(%rbp), %rbx + xorl %r8d, %r8d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0xa0(%rsp) + movq %r13, 0xa8(%rsp) + movq %r14, 0xb0(%rsp) + movq %r15, 0xb8(%rsp) + movq 0x80(%rsp), %rbx + movq 0x20(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x28(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x30(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x38(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x88(%rsp), %rbx + xorl %r13d, %r13d + movq 0x20(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x28(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x30(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x38(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x90(%rsp), %rbx + xorl %r15d, %r15d + movq 0x20(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x28(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x30(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x38(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x98(%rsp), %rbx + xorl %r8d, %r8d + movq 0x20(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x28(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x30(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x38(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x80(%rsp) + movq %r13, 0x88(%rsp) + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + movq 0x80(%rsp), %rax + subq 0x60(%rsp), %rax + movq 0x88(%rsp), %rcx + sbbq 0x68(%rsp), %rcx + movq 0x90(%rsp), %r8 + sbbq 0x70(%rsp), %r8 + movq 0x98(%rsp), %r9 + sbbq 0x78(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x80(%rsp) + adcq %r10, %rcx + movq %rcx, 0x88(%rsp) + adcq $0x0, %r8 + movq %r8, 0x90(%rsp) + adcq %rdx, %r9 + movq %r9, 0x98(%rsp) + movq 0x40(%rsi), %r8 + movq 0x48(%rsi), %r9 + movq 0x50(%rsi), %r10 + movq 0x58(%rsi), %r11 + movq %r8, %rax + movq %r9, %rdx + orq %r10, %rax + orq %r11, %rdx + orq %rdx, %rax + negq %rax + sbbq %rax, %rax + movq 0x40(%rbp), %r12 + movq 0x48(%rbp), %r13 + movq 0x50(%rbp), %r14 + movq 0x58(%rbp), %r15 + movq %r12, %rbx + movq %r13, %rdx + orq %r14, %rbx + orq %r15, %rdx + orq %rdx, %rbx + negq %rbx + sbbq %rbx, %rbx + cmpq %rax, %rbx + cmovbq %r8, %r12 + cmovbq %r9, %r13 + cmovbq %r10, %r14 + cmovbq %r11, %r15 + cmoveq 0xa0(%rsp), %r12 + cmoveq 0xa8(%rsp), %r13 + cmoveq 0xb0(%rsp), %r14 + cmoveq 0xb8(%rsp), %r15 + movq (%rsp), %rax + cmovbq (%rsi), %rax + cmova 0x0(%rbp), %rax + movq 0x8(%rsp), %rbx + cmovbq 0x8(%rsi), %rbx + cmova 0x8(%rbp), %rbx + movq 0x10(%rsp), %rcx + cmovbq 0x10(%rsi), %rcx + cmova 0x10(%rbp), %rcx + movq 0x18(%rsp), %rdx + cmovbq 0x18(%rsi), %rdx + cmova 0x18(%rbp), %rdx + movq 0x80(%rsp), %r8 + cmovbq 0x20(%rsi), %r8 + cmova 0x20(%rbp), %r8 + movq 0x88(%rsp), %r9 + cmovbq 0x28(%rsi), %r9 + cmova 0x28(%rbp), %r9 + movq 0x90(%rsp), %r10 + cmovbq 0x30(%rsi), %r10 + cmova 0x30(%rbp), %r10 + movq 0x98(%rsp), %r11 + cmovbq 0x38(%rsi), %r11 + cmova 0x38(%rbp), %r11 + movq %rax, (%rdi) + movq %rbx, 0x8(%rdi) + movq %rcx, 0x10(%rdi) + movq %rdx, 0x18(%rdi) + movq %r8, 0x20(%rdi) + movq %r9, 0x28(%rdi) + movq %r10, 0x30(%rdi) + movq %r11, 0x38(%rdi) + movq %r12, 0x40(%rdi) + movq %r13, 0x48(%rdi) + movq %r14, 0x50(%rdi) + movq %r15, 0x58(%rdi) + CFI_INC_RSP(224) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +Lp256_scalarmul_alt_local_p256_montjdouble: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(192) + movq 0x40(%rsi), %rax + movq %rax, %rbx + mulq %rax + movq %rax, %r8 + movq %rdx, %r15 + movq 0x48(%rsi), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x58(%rsi), %rax + movq %rax, %r13 + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x50(%rsi), %rax + movq %rax, %rbx + mulq %r13 + movq %rax, %r13 + movq %rdx, %r14 + movq 0x40(%rsi), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + movq 0x48(%rsi), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq 0x58(%rsi), %rbx + movq 0x48(%rsi), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + xorl %ecx, %ecx + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %rcx, %rcx + movq 0x48(%rsi), %rax + mulq %rax + addq %r15, %r9 + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + movq 0x50(%rsi), %rax + mulq %rax + negq %r15 + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %r15, %r15 + movq 0x58(%rsi), %rax + mulq %rax + negq %r15 + adcq %rax, %r14 + adcq %rcx, %rdx + movq %rdx, %r15 + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rcx, %rcx + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + xorl %r8d, %r8d + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r8, %r14 + adcq %r8, %r15 + adcq %r8, %r8 + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + xorl %r9d, %r9d + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rbx), %rbx + adcq %r13, %rbx + leaq -0x1(%r9), %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, (%rsp) + movq %r13, 0x8(%rsp) + movq %r14, 0x10(%rsp) + movq %r15, 0x18(%rsp) + movq 0x20(%rsi), %rax + movq %rax, %rbx + mulq %rax + movq %rax, %r8 + movq %rdx, %r15 + movq 0x28(%rsi), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x38(%rsi), %rax + movq %rax, %r13 + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x30(%rsi), %rax + movq %rax, %rbx + mulq %r13 + movq %rax, %r13 + movq %rdx, %r14 + movq 0x20(%rsi), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + movq 0x28(%rsi), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq 0x38(%rsi), %rbx + movq 0x28(%rsi), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + xorl %ecx, %ecx + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %rcx, %rcx + movq 0x28(%rsi), %rax + mulq %rax + addq %r15, %r9 + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + movq 0x30(%rsi), %rax + mulq %rax + negq %r15 + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %r15, %r15 + movq 0x38(%rsi), %rax + mulq %rax + negq %r15 + adcq %rax, %r14 + adcq %rcx, %rdx + movq %rdx, %r15 + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rcx, %rcx + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + xorl %r8d, %r8d + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r8, %r14 + adcq %r8, %r15 + adcq %r8, %r8 + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + xorl %r9d, %r9d + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rbx), %rbx + adcq %r13, %rbx + leaq -0x1(%r9), %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x20(%rsp) + movq %r13, 0x28(%rsp) + movq %r14, 0x30(%rsp) + movq %r15, 0x38(%rsp) + movq (%rsi), %rax + subq (%rsp), %rax + movq 0x8(%rsi), %rcx + sbbq 0x8(%rsp), %rcx + movq 0x10(%rsi), %r8 + sbbq 0x10(%rsp), %r8 + movq 0x18(%rsi), %r9 + sbbq 0x18(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x60(%rsp) + adcq %r10, %rcx + movq %rcx, 0x68(%rsp) + adcq $0x0, %r8 + movq %r8, 0x70(%rsp) + adcq %rdx, %r9 + movq %r9, 0x78(%rsp) + movq (%rsi), %rax + addq (%rsp), %rax + movq 0x8(%rsi), %rcx + adcq 0x8(%rsp), %rcx + movq 0x10(%rsi), %r8 + adcq 0x10(%rsp), %r8 + movq 0x18(%rsi), %r9 + adcq 0x18(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + subq %r11, %rax + movq %rax, 0x40(%rsp) + sbbq %r10, %rcx + movq %rcx, 0x48(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x50(%rsp) + sbbq %rdx, %r9 + movq %r9, 0x58(%rsp) + movq 0x60(%rsp), %rbx + movq 0x40(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x48(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x50(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x58(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x68(%rsp), %rbx + xorl %r13d, %r13d + movq 0x40(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x48(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x50(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x58(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x70(%rsp), %rbx + xorl %r15d, %r15d + movq 0x40(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x48(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x50(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x58(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x78(%rsp), %rbx + xorl %r8d, %r8d + movq 0x40(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x48(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x50(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x58(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x60(%rsp) + movq %r13, 0x68(%rsp) + movq %r14, 0x70(%rsp) + movq %r15, 0x78(%rsp) + xorq %r11, %r11 + movq 0x20(%rsi), %rax + addq 0x40(%rsi), %rax + movq 0x28(%rsi), %rcx + adcq 0x48(%rsi), %rcx + movq 0x30(%rsi), %r8 + adcq 0x50(%rsi), %r8 + movq 0x38(%rsi), %r9 + adcq 0x58(%rsi), %r9 + adcq %r11, %r11 + subq $0xffffffffffffffff, %rax + movl $0xffffffff, %r10d + sbbq %r10, %rcx + sbbq $0x0, %r8 + movabsq $0xffffffff00000001, %rdx + sbbq %rdx, %r9 + sbbq $0x0, %r11 + andq %r11, %r10 + andq %r11, %rdx + addq %r11, %rax + movq %rax, 0x40(%rsp) + adcq %r10, %rcx + movq %rcx, 0x48(%rsp) + adcq $0x0, %r8 + movq %r8, 0x50(%rsp) + adcq %rdx, %r9 + movq %r9, 0x58(%rsp) + movq 0x20(%rsp), %rbx + movq (%rsi), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x8(%rsi), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x10(%rsi), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x18(%rsi), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x28(%rsp), %rbx + xorl %r13d, %r13d + movq (%rsi), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x8(%rsi), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x10(%rsi), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x18(%rsi), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x30(%rsp), %rbx + xorl %r15d, %r15d + movq (%rsi), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x8(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x10(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x18(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x38(%rsp), %rbx + xorl %r8d, %r8d + movq (%rsi), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x8(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x10(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x18(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x80(%rsp) + movq %r13, 0x88(%rsp) + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + movq 0x60(%rsp), %rax + movq %rax, %rbx + mulq %rax + movq %rax, %r8 + movq %rdx, %r15 + movq 0x68(%rsp), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x78(%rsp), %rax + movq %rax, %r13 + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x70(%rsp), %rax + movq %rax, %rbx + mulq %r13 + movq %rax, %r13 + movq %rdx, %r14 + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + movq 0x68(%rsp), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq 0x78(%rsp), %rbx + movq 0x68(%rsp), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + xorl %ecx, %ecx + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %rcx, %rcx + movq 0x68(%rsp), %rax + mulq %rax + addq %r15, %r9 + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + movq 0x70(%rsp), %rax + mulq %rax + negq %r15 + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %r15, %r15 + movq 0x78(%rsp), %rax + mulq %rax + negq %r15 + adcq %rax, %r14 + adcq %rcx, %rdx + movq %rdx, %r15 + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rcx, %rcx + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + xorl %r8d, %r8d + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r8, %r14 + adcq %r8, %r15 + adcq %r8, %r8 + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + xorl %r9d, %r9d + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rbx), %rbx + adcq %r13, %rbx + leaq -0x1(%r9), %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0xa0(%rsp) + movq %r13, 0xa8(%rsp) + movq %r14, 0xb0(%rsp) + movq %r15, 0xb8(%rsp) + movq 0x40(%rsp), %rax + movq %rax, %rbx + mulq %rax + movq %rax, %r8 + movq %rdx, %r15 + movq 0x48(%rsp), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x58(%rsp), %rax + movq %rax, %r13 + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x50(%rsp), %rax + movq %rax, %rbx + mulq %r13 + movq %rax, %r13 + movq %rdx, %r14 + movq 0x40(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + movq 0x48(%rsp), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq 0x58(%rsp), %rbx + movq 0x48(%rsp), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + xorl %ecx, %ecx + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %rcx, %rcx + movq 0x48(%rsp), %rax + mulq %rax + addq %r15, %r9 + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + movq 0x50(%rsp), %rax + mulq %rax + negq %r15 + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %r15, %r15 + movq 0x58(%rsp), %rax + mulq %rax + negq %r15 + adcq %rax, %r14 + adcq %rcx, %rdx + movq %rdx, %r15 + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rcx, %rcx + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + xorl %r8d, %r8d + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r8, %r14 + adcq %r8, %r15 + adcq %r8, %r8 + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + xorl %r9d, %r9d + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rbx), %rbx + adcq %r13, %rbx + leaq -0x1(%r9), %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x40(%rsp) + movq %r13, 0x48(%rsp) + movq %r14, 0x50(%rsp) + movq %r15, 0x58(%rsp) + movq $0xffffffffffffffff, %r9 + xorl %r11d, %r11d + subq 0xa0(%rsp), %r9 + movabsq $0xffffffff, %r10 + sbbq 0xa8(%rsp), %r10 + sbbq 0xb0(%rsp), %r11 + movabsq $0xffffffff00000001, %r12 + sbbq 0xb8(%rsp), %r12 + movq $0x9, %rcx + movq %r9, %rax + mulq %rcx + movq %rax, %r8 + movq %rdx, %r9 + movq %r10, %rax + xorl %r10d, %r10d + mulq %rcx + addq %rax, %r9 + adcq %rdx, %r10 + movq %r11, %rax + xorl %r11d, %r11d + mulq %rcx + addq %rax, %r10 + adcq %rdx, %r11 + movq %r12, %rax + xorl %r12d, %r12d + mulq %rcx + addq %rax, %r11 + adcq %rdx, %r12 + movl $0xc, %ecx + movq 0x80(%rsp), %rax + mulq %rcx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %rbx, %rbx + movq 0x88(%rsp), %rax + mulq %rcx + subq %rbx, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rbx, %rbx + movq 0x90(%rsp), %rax + mulq %rcx + subq %rbx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbx, %rbx + movq 0x98(%rsp), %rax + mulq %rcx + subq %rbx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + leaq 0x1(%r12), %rcx + movabsq $0xffffffff00000001, %rax + mulq %rcx + movq %rcx, %rbx + shlq $0x20, %rbx + addq %rcx, %r8 + sbbq $0x0, %rbx + subq %rbx, %r9 + sbbq $0x0, %r10 + sbbq %rax, %r11 + sbbq %rdx, %rcx + decq %rcx + movl $0xffffffff, %eax + andq %rcx, %rax + xorl %edx, %edx + subq %rax, %rdx + addq %rcx, %r8 + movq %r8, 0xa0(%rsp) + adcq %rax, %r9 + movq %r9, 0xa8(%rsp) + adcq $0x0, %r10 + movq %r10, 0xb0(%rsp) + adcq %rdx, %r11 + movq %r11, 0xb8(%rsp) + movq 0x40(%rsp), %rax + subq (%rsp), %rax + movq 0x48(%rsp), %rcx + sbbq 0x8(%rsp), %rcx + movq 0x50(%rsp), %r8 + sbbq 0x10(%rsp), %r8 + movq 0x58(%rsp), %r9 + sbbq 0x18(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x40(%rsp) + adcq %r10, %rcx + movq %rcx, 0x48(%rsp) + adcq $0x0, %r8 + movq %r8, 0x50(%rsp) + adcq %rdx, %r9 + movq %r9, 0x58(%rsp) + movq 0x20(%rsp), %rax + movq %rax, %rbx + mulq %rax + movq %rax, %r8 + movq %rdx, %r15 + movq 0x28(%rsp), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x38(%rsp), %rax + movq %rax, %r13 + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x30(%rsp), %rax + movq %rax, %rbx + mulq %r13 + movq %rax, %r13 + movq %rdx, %r14 + movq 0x20(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + movq 0x28(%rsp), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq 0x38(%rsp), %rbx + movq 0x28(%rsp), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + xorl %ecx, %ecx + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %rcx, %rcx + movq 0x28(%rsp), %rax + mulq %rax + addq %r15, %r9 + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + movq 0x30(%rsp), %rax + mulq %rax + negq %r15 + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %r15, %r15 + movq 0x38(%rsp), %rax + mulq %rax + negq %r15 + adcq %rax, %r14 + adcq %rcx, %rdx + movq %rdx, %r15 + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rcx, %rcx + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + xorl %r8d, %r8d + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r8, %r14 + adcq %r8, %r15 + adcq %r8, %r8 + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + xorl %r9d, %r9d + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rbx), %rbx + adcq %r13, %rbx + leaq -0x1(%r9), %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, (%rsp) + movq %r13, 0x8(%rsp) + movq %r14, 0x10(%rsp) + movq %r15, 0x18(%rsp) + movq 0x60(%rsp), %rbx + movq 0xa0(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0xa8(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0xb0(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0xb8(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x68(%rsp), %rbx + xorl %r13d, %r13d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x70(%rsp), %rbx + xorl %r15d, %r15d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x78(%rsp), %rbx + xorl %r8d, %r8d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x60(%rsp) + movq %r13, 0x68(%rsp) + movq %r14, 0x70(%rsp) + movq %r15, 0x78(%rsp) + movq 0x40(%rsp), %rax + subq 0x20(%rsp), %rax + movq 0x48(%rsp), %rcx + sbbq 0x28(%rsp), %rcx + movq 0x50(%rsp), %r8 + sbbq 0x30(%rsp), %r8 + movq 0x58(%rsp), %r9 + sbbq 0x38(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x40(%rdi) + adcq %r10, %rcx + movq %rcx, 0x48(%rdi) + adcq $0x0, %r8 + movq %r8, 0x50(%rdi) + adcq %rdx, %r9 + movq %r9, 0x58(%rdi) + movq 0x98(%rsp), %r11 + movq %r11, %rcx + movq 0x90(%rsp), %r10 + shldq $0x2, %r10, %r11 + movq 0x88(%rsp), %r9 + shldq $0x2, %r9, %r10 + movq 0x80(%rsp), %r8 + shldq $0x2, %r8, %r9 + shlq $0x2, %r8 + shrq $0x3e, %rcx + addq $0x1, %rcx + subq 0xa0(%rsp), %r8 + sbbq 0xa8(%rsp), %r9 + sbbq 0xb0(%rsp), %r10 + sbbq 0xb8(%rsp), %r11 + sbbq $0x0, %rcx + movabsq $0xffffffff00000001, %rax + mulq %rcx + movq %rcx, %rbx + shlq $0x20, %rbx + addq %rcx, %r8 + sbbq $0x0, %rbx + subq %rbx, %r9 + sbbq $0x0, %r10 + sbbq %rax, %r11 + sbbq %rdx, %rcx + decq %rcx + movl $0xffffffff, %eax + andq %rcx, %rax + xorl %edx, %edx + subq %rax, %rdx + addq %rcx, %r8 + movq %r8, (%rdi) + adcq %rax, %r9 + movq %r9, 0x8(%rdi) + adcq $0x0, %r10 + movq %r10, 0x10(%rdi) + adcq %rdx, %r11 + movq %r11, 0x18(%rdi) + movq $0xffffffffffffffff, %r8 + xorl %r10d, %r10d + subq (%rsp), %r8 + movabsq $0xffffffff, %r9 + sbbq 0x8(%rsp), %r9 + sbbq 0x10(%rsp), %r10 + movabsq $0xffffffff00000001, %r11 + sbbq 0x18(%rsp), %r11 + movq %r11, %r12 + shldq $0x3, %r10, %r11 + shldq $0x3, %r9, %r10 + shldq $0x3, %r8, %r9 + shlq $0x3, %r8 + shrq $0x3d, %r12 + movl $0x3, %ecx + movq 0x60(%rsp), %rax + mulq %rcx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %rbx, %rbx + movq 0x68(%rsp), %rax + mulq %rcx + subq %rbx, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rbx, %rbx + movq 0x70(%rsp), %rax + mulq %rcx + subq %rbx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbx, %rbx + movq 0x78(%rsp), %rax + mulq %rcx + subq %rbx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + leaq 0x1(%r12), %rcx + movabsq $0xffffffff00000001, %rax + mulq %rcx + movq %rcx, %rbx + shlq $0x20, %rbx + addq %rcx, %r8 + sbbq $0x0, %rbx + subq %rbx, %r9 + sbbq $0x0, %r10 + sbbq %rax, %r11 + sbbq %rdx, %rcx + decq %rcx + movl $0xffffffff, %eax + andq %rcx, %rax + xorl %edx, %edx + subq %rax, %rdx + addq %rcx, %r8 + movq %r8, 0x20(%rdi) + adcq %rax, %r9 + movq %r9, 0x28(%rdi) + adcq $0x0, %r10 + movq %r10, 0x30(%rdi) + adcq %rdx, %r11 + movq %r11, 0x38(%rdi) + CFI_INC_RSP(192) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbx) + CFI_RET + +Lp256_scalarmul_alt_local_p256_montjmixadd: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(192) + movq %rdx, %rbp + movq 0x40(%rsi), %rax + movq %rax, %rbx + mulq %rax + movq %rax, %r8 + movq %rdx, %r15 + movq 0x48(%rsi), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x58(%rsi), %rax + movq %rax, %r13 + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x50(%rsi), %rax + movq %rax, %rbx + mulq %r13 + movq %rax, %r13 + movq %rdx, %r14 + movq 0x40(%rsi), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + movq 0x48(%rsi), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq 0x58(%rsi), %rbx + movq 0x48(%rsi), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + xorl %ecx, %ecx + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %rcx, %rcx + movq 0x48(%rsi), %rax + mulq %rax + addq %r15, %r9 + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + movq 0x50(%rsi), %rax + mulq %rax + negq %r15 + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %r15, %r15 + movq 0x58(%rsi), %rax + mulq %rax + negq %r15 + adcq %rax, %r14 + adcq %rcx, %rdx + movq %rdx, %r15 + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rcx, %rcx + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + xorl %r8d, %r8d + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r8, %r14 + adcq %r8, %r15 + adcq %r8, %r8 + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + xorl %r9d, %r9d + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rbx), %rbx + adcq %r13, %rbx + leaq -0x1(%r9), %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, (%rsp) + movq %r13, 0x8(%rsp) + movq %r14, 0x10(%rsp) + movq %r15, 0x18(%rsp) + movq 0x20(%rbp), %rbx + movq 0x40(%rsi), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x48(%rsi), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x50(%rsi), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x58(%rsi), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x28(%rbp), %rbx + xorl %r13d, %r13d + movq 0x40(%rsi), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x48(%rsi), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x50(%rsi), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x58(%rsi), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x30(%rbp), %rbx + xorl %r15d, %r15d + movq 0x40(%rsi), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x48(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x50(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x58(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x38(%rbp), %rbx + xorl %r8d, %r8d + movq 0x40(%rsi), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x48(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x50(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x58(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x20(%rsp) + movq %r13, 0x28(%rsp) + movq %r14, 0x30(%rsp) + movq %r15, 0x38(%rsp) + movq 0x0(%rbp), %rbx + movq (%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x8(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x10(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x18(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x8(%rbp), %rbx + xorl %r13d, %r13d + movq (%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x10(%rbp), %rbx + xorl %r15d, %r15d + movq (%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x18(%rbp), %rbx + xorl %r8d, %r8d + movq (%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x40(%rsp) + movq %r13, 0x48(%rsp) + movq %r14, 0x50(%rsp) + movq %r15, 0x58(%rsp) + movq 0x20(%rsp), %rbx + movq (%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x8(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x10(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x18(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x28(%rsp), %rbx + xorl %r13d, %r13d + movq (%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x30(%rsp), %rbx + xorl %r15d, %r15d + movq (%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x38(%rsp), %rbx + xorl %r8d, %r8d + movq (%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x20(%rsp) + movq %r13, 0x28(%rsp) + movq %r14, 0x30(%rsp) + movq %r15, 0x38(%rsp) + movq 0x40(%rsp), %rax + subq (%rsi), %rax + movq 0x48(%rsp), %rcx + sbbq 0x8(%rsi), %rcx + movq 0x50(%rsp), %r8 + sbbq 0x10(%rsi), %r8 + movq 0x58(%rsp), %r9 + sbbq 0x18(%rsi), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0xa0(%rsp) + adcq %r10, %rcx + movq %rcx, 0xa8(%rsp) + adcq $0x0, %r8 + movq %r8, 0xb0(%rsp) + adcq %rdx, %r9 + movq %r9, 0xb8(%rsp) + movq 0x20(%rsp), %rax + subq 0x20(%rsi), %rax + movq 0x28(%rsp), %rcx + sbbq 0x28(%rsi), %rcx + movq 0x30(%rsp), %r8 + sbbq 0x30(%rsi), %r8 + movq 0x38(%rsp), %r9 + sbbq 0x38(%rsi), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x20(%rsp) + adcq %r10, %rcx + movq %rcx, 0x28(%rsp) + adcq $0x0, %r8 + movq %r8, 0x30(%rsp) + adcq %rdx, %r9 + movq %r9, 0x38(%rsp) + movq 0xa0(%rsp), %rax + movq %rax, %rbx + mulq %rax + movq %rax, %r8 + movq %rdx, %r15 + movq 0xa8(%rsp), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0xb8(%rsp), %rax + movq %rax, %r13 + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0xb0(%rsp), %rax + movq %rax, %rbx + mulq %r13 + movq %rax, %r13 + movq %rdx, %r14 + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + movq 0xa8(%rsp), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq 0xb8(%rsp), %rbx + movq 0xa8(%rsp), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + xorl %ecx, %ecx + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %rcx, %rcx + movq 0xa8(%rsp), %rax + mulq %rax + addq %r15, %r9 + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + movq 0xb0(%rsp), %rax + mulq %rax + negq %r15 + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %r15, %r15 + movq 0xb8(%rsp), %rax + mulq %rax + negq %r15 + adcq %rax, %r14 + adcq %rcx, %rdx + movq %rdx, %r15 + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rcx, %rcx + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + xorl %r8d, %r8d + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r8, %r14 + adcq %r8, %r15 + adcq %r8, %r8 + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + xorl %r9d, %r9d + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rbx), %rbx + adcq %r13, %rbx + leaq -0x1(%r9), %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x60(%rsp) + movq %r13, 0x68(%rsp) + movq %r14, 0x70(%rsp) + movq %r15, 0x78(%rsp) + movq 0x20(%rsp), %rax + movq %rax, %rbx + mulq %rax + movq %rax, %r8 + movq %rdx, %r15 + movq 0x28(%rsp), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x38(%rsp), %rax + movq %rax, %r13 + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x30(%rsp), %rax + movq %rax, %rbx + mulq %r13 + movq %rax, %r13 + movq %rdx, %r14 + movq 0x20(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + movq 0x28(%rsp), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq 0x38(%rsp), %rbx + movq 0x28(%rsp), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + xorl %ecx, %ecx + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %rcx, %rcx + movq 0x28(%rsp), %rax + mulq %rax + addq %r15, %r9 + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + movq 0x30(%rsp), %rax + mulq %rax + negq %r15 + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %r15, %r15 + movq 0x38(%rsp), %rax + mulq %rax + negq %r15 + adcq %rax, %r14 + adcq %rcx, %rdx + movq %rdx, %r15 + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rcx, %rcx + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + xorl %r8d, %r8d + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r8, %r14 + adcq %r8, %r15 + adcq %r8, %r8 + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + xorl %r9d, %r9d + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rbx), %rbx + adcq %r13, %rbx + leaq -0x1(%r9), %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, (%rsp) + movq %r13, 0x8(%rsp) + movq %r14, 0x10(%rsp) + movq %r15, 0x18(%rsp) + movq (%rsi), %rbx + movq 0x60(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x68(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x70(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x78(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x8(%rsi), %rbx + xorl %r13d, %r13d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x10(%rsi), %rbx + xorl %r15d, %r15d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x18(%rsi), %rbx + xorl %r8d, %r8d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x80(%rsp) + movq %r13, 0x88(%rsp) + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + movq 0x40(%rsp), %rbx + movq 0x60(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x68(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x70(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x78(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x48(%rsp), %rbx + xorl %r13d, %r13d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x50(%rsp), %rbx + xorl %r15d, %r15d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x58(%rsp), %rbx + xorl %r8d, %r8d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x40(%rsp) + movq %r13, 0x48(%rsp) + movq %r14, 0x50(%rsp) + movq %r15, 0x58(%rsp) + movq (%rsp), %rax + subq 0x80(%rsp), %rax + movq 0x8(%rsp), %rcx + sbbq 0x88(%rsp), %rcx + movq 0x10(%rsp), %r8 + sbbq 0x90(%rsp), %r8 + movq 0x18(%rsp), %r9 + sbbq 0x98(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, (%rsp) + adcq %r10, %rcx + movq %rcx, 0x8(%rsp) + adcq $0x0, %r8 + movq %r8, 0x10(%rsp) + adcq %rdx, %r9 + movq %r9, 0x18(%rsp) + movq 0x40(%rsp), %rax + subq 0x80(%rsp), %rax + movq 0x48(%rsp), %rcx + sbbq 0x88(%rsp), %rcx + movq 0x50(%rsp), %r8 + sbbq 0x90(%rsp), %r8 + movq 0x58(%rsp), %r9 + sbbq 0x98(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x60(%rsp) + adcq %r10, %rcx + movq %rcx, 0x68(%rsp) + adcq $0x0, %r8 + movq %r8, 0x70(%rsp) + adcq %rdx, %r9 + movq %r9, 0x78(%rsp) + movq 0x40(%rsi), %rbx + movq 0xa0(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0xa8(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0xb0(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0xb8(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x48(%rsi), %rbx + xorl %r13d, %r13d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x50(%rsi), %rbx + xorl %r15d, %r15d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x58(%rsi), %rbx + xorl %r8d, %r8d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0xa0(%rsp) + movq %r13, 0xa8(%rsp) + movq %r14, 0xb0(%rsp) + movq %r15, 0xb8(%rsp) + movq (%rsp), %rax + subq 0x40(%rsp), %rax + movq 0x8(%rsp), %rcx + sbbq 0x48(%rsp), %rcx + movq 0x10(%rsp), %r8 + sbbq 0x50(%rsp), %r8 + movq 0x18(%rsp), %r9 + sbbq 0x58(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, (%rsp) + adcq %r10, %rcx + movq %rcx, 0x8(%rsp) + adcq $0x0, %r8 + movq %r8, 0x10(%rsp) + adcq %rdx, %r9 + movq %r9, 0x18(%rsp) + movq 0x80(%rsp), %rax + subq (%rsp), %rax + movq 0x88(%rsp), %rcx + sbbq 0x8(%rsp), %rcx + movq 0x90(%rsp), %r8 + sbbq 0x10(%rsp), %r8 + movq 0x98(%rsp), %r9 + sbbq 0x18(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x80(%rsp) + adcq %r10, %rcx + movq %rcx, 0x88(%rsp) + adcq $0x0, %r8 + movq %r8, 0x90(%rsp) + adcq %rdx, %r9 + movq %r9, 0x98(%rsp) + movq 0x20(%rsi), %rbx + movq 0x60(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x68(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x70(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x78(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x28(%rsi), %rbx + xorl %r13d, %r13d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x30(%rsi), %rbx + xorl %r15d, %r15d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x38(%rsi), %rbx + xorl %r8d, %r8d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x60(%rsp) + movq %r13, 0x68(%rsp) + movq %r14, 0x70(%rsp) + movq %r15, 0x78(%rsp) + movq 0x80(%rsp), %rbx + movq 0x20(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x28(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x30(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x38(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x88(%rsp), %rbx + xorl %r13d, %r13d + movq 0x20(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x28(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x30(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x38(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x90(%rsp), %rbx + xorl %r15d, %r15d + movq 0x20(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x28(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x30(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x38(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x98(%rsp), %rbx + xorl %r8d, %r8d + movq 0x20(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x28(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x30(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x38(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x80(%rsp) + movq %r13, 0x88(%rsp) + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + movq 0x80(%rsp), %rax + subq 0x60(%rsp), %rax + movq 0x88(%rsp), %rcx + sbbq 0x68(%rsp), %rcx + movq 0x90(%rsp), %r8 + sbbq 0x70(%rsp), %r8 + movq 0x98(%rsp), %r9 + sbbq 0x78(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x80(%rsp) + adcq %r10, %rcx + movq %rcx, 0x88(%rsp) + adcq $0x0, %r8 + movq %r8, 0x90(%rsp) + adcq %rdx, %r9 + movq %r9, 0x98(%rsp) + movq 0x40(%rsi), %rax + movq 0x48(%rsi), %rdx + orq 0x50(%rsi), %rax + orq 0x58(%rsi), %rdx + orq %rdx, %rax + movq (%rsp), %r8 + movq 0x0(%rbp), %rax + cmoveq %rax, %r8 + movq 0x8(%rsp), %r9 + movq 0x8(%rbp), %rax + cmoveq %rax, %r9 + movq 0x10(%rsp), %r10 + movq 0x10(%rbp), %rax + cmoveq %rax, %r10 + movq 0x18(%rsp), %r11 + movq 0x18(%rbp), %rax + cmoveq %rax, %r11 + movq 0x80(%rsp), %r12 + movq 0x20(%rbp), %rax + cmoveq %rax, %r12 + movq 0x88(%rsp), %r13 + movq 0x28(%rbp), %rax + cmoveq %rax, %r13 + movq 0x90(%rsp), %r14 + movq 0x30(%rbp), %rax + cmoveq %rax, %r14 + movq 0x98(%rsp), %r15 + movq 0x38(%rbp), %rax + cmoveq %rax, %r15 + movq %r8, (%rdi) + movq %r9, 0x8(%rdi) + movq %r10, 0x10(%rdi) + movq %r11, 0x18(%rdi) + movq %r12, 0x20(%rdi) + movq %r13, 0x28(%rdi) + movq %r14, 0x30(%rdi) + movq %r15, 0x38(%rdi) + movq 0xa0(%rsp), %r8 + movq 0xa8(%rsp), %r9 + movq 0xb0(%rsp), %r10 + movq 0xb8(%rsp), %r11 + movl $0x1, %eax + cmoveq %rax, %r8 + movabsq $0xffffffff00000000, %rax + cmoveq %rax, %r9 + movq $0xffffffffffffffff, %rax + cmoveq %rax, %r10 + movl $0xfffffffe, %eax + cmoveq %rax, %r11 + movq %r8, 0x40(%rdi) + movq %r9, 0x48(%rdi) + movq %r10, 0x50(%rdi) + movq %r11, 0x58(%rdi) + CFI_INC_RSP(192) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/x86_att/p256_scalarmulbase.S b/cbits/s2n/x86_att/p256_scalarmulbase.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/p256_scalarmulbase.S @@ -0,0 +1,3571 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Scalar multiplication for precomputed point on NIST curve P-256 +// Input scalar[4], blocksize, table[]; output res[8] +// +// extern void p256_scalarmulbase +// (uint64_t res[static 8], +// const uint64_t scalar[static 4], +// uint64_t blocksize, +// const uint64_t *table); +// +// Given scalar = n and point = P, assumed to be on the NIST elliptic +// curve P-256, the input argument "table" is expected to be a table of +// multiples of the point P in Montgomery-affine form, with each block +// corresponding to "blocksize" bits of the scalar as follows, where +// B = 2^{blocksize-1} (e.g. B = 8 for blocksize = 4): +// +// For each i,j with blocksize * i <= 256 and 1 <= j <= B +// the multiple 2^{blocksize * i} * j * P is stored at +// tab[8 * (B * i + (j - 1))], considered as uint64_t pointers +// or tab + 64 * (B * i + (j - 1)) as byte pointers. +// +// Standard x86-64 ABI: RDI = res, RSI = scalar, RDX = blocksize, RCX = table +// Microsoft x64 ABI: RCX = res, RDX = scalar, R8 = blocksize, R9 = table +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p256_scalarmulbase) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p256_scalarmulbase) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p256_scalarmulbase) + + + .text + .balign 32 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Intermediate variables on the stack. The last z2, z3 values can +// safely be overlaid on "nacc", which is no longer needed at the end. +// Uppercase syntactic variants make x86_att version simpler to generate + +#define RSCALAR (0*NUMSIZE) +#define ACC (1*NUMSIZE) +#define NACC (4*NUMSIZE) +#define TABENT (7*NUMSIZE) +#define Z2 (4*NUMSIZE) +#define Z3 (5*NUMSIZE) + +#define rscalar RSCALAR(%rsp) +#define acc ACC(%rsp) +#define nacc NACC(%rsp) +#define tabent TABENT(%rsp) + +#define z2 Z2(%rsp) +#define z3 Z3(%rsp) + +#define res (9*NUMSIZE)(%rsp) +#define blocksize (9*NUMSIZE+8)(%rsp) +#define table (9*NUMSIZE+16)(%rsp) +#define i (9*NUMSIZE+24)(%rsp) +#define bf (9*NUMSIZE+32)(%rsp) +#define cf (9*NUMSIZE+40)(%rsp) +#define j (9*NUMSIZE+48)(%rsp) + +#define NSPACE 11*NUMSIZE + +S2N_BN_SYMBOL(p256_scalarmulbase): + CFI_START + _CET_ENDBR + +// The Windows version literally calls the standard ABI version. +// This simplifies the proofs since subroutine offsets are fixed. + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx + movq %r9, %rcx + CFI_CALL(Lp256_scalarmulbase_standard) + CFI_POP(%rsi) + CFI_POP(%rdi) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p256_scalarmulbase) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_standard) + +Lp256_scalarmulbase_standard: + CFI_START +#endif + +// Real start of the standard ABI code. + + CFI_PUSH(%r15) + CFI_PUSH(%r14) + CFI_PUSH(%r13) + CFI_PUSH(%r12) + CFI_PUSH(%rbp) + CFI_PUSH(%rbx) + + CFI_DEC_RSP(NSPACE) + +// Preserve the input arguments except the scalar, since that gets absorbed +// immediately. The "table" value subsequently gets shifted up each iteration +// of the loop, while "res" and "blocksize" are static throughout. + + movq %rdi, res + movq %rdx, blocksize + movq %rcx, table + +// Load the digits of group order n_256 = [%r15;%r14;%r13;%r12] + + movq $0xf3b9cac2fc632551, %r12 + movq $0xbce6faada7179e84, %r13 + movq $0xffffffffffffffff, %r14 + movq $0xffffffff00000000, %r15 + +// First, reduce the input scalar mod n_256, i.e. conditionally subtract n_256 +// Store it to "rscalar" (reduced scalar) + + movq (%rsi), %r8 + subq %r12, %r8 + movq 8(%rsi), %r9 + sbbq %r13, %r9 + movq 16(%rsi), %r10 + sbbq %r14, %r10 + movq 24(%rsi), %r11 + sbbq %r15, %r11 + + cmovcq (%rsi), %r8 + cmovcq 8(%rsi), %r9 + cmovcq 16(%rsi), %r10 + cmovcq 24(%rsi), %r11 + + movq %r8, RSCALAR(%rsp) + movq %r9, RSCALAR+8(%rsp) + movq %r10, RSCALAR+16(%rsp) + movq %r11, RSCALAR+24(%rsp) + +// Initialize the accumulator to all zeros and the "carry flag" cf to 0 + + xorl %eax, %eax + + movq %rax, ACC(%rsp) + movq %rax, ACC+8(%rsp) + movq %rax, ACC+16(%rsp) + movq %rax, ACC+24(%rsp) + movq %rax, ACC+32(%rsp) + movq %rax, ACC+40(%rsp) + movq %rax, ACC+48(%rsp) + movq %rax, ACC+56(%rsp) + movq %rax, ACC+64(%rsp) + movq %rax, ACC+72(%rsp) + movq %rax, ACC+80(%rsp) + movq %rax, ACC+88(%rsp) + + movq %rax, cf + +// Main loop over {i >= 0 | blocksize * i <= 256}. Note the non-strict +// inequality, to allow top carry for any choices of blocksize. + + movq %rax, i + +Lp256_scalarmulbase_loop: + +// The next raw bitfield is bf = bitfield(blocksize * i,blocksize) + cf, +// adding in the deferred carry cf. We then shift the whole scalar right +// by blocksize so we can keep picking bitfield(0,blocksize). + + movq RSCALAR(%rsp), %r8 + movq RSCALAR+8(%rsp), %r9 + movq RSCALAR+16(%rsp), %r10 + movq RSCALAR+24(%rsp), %r11 + + movq blocksize, %rcx + movl $1, %eax + shlq %cl, %rax + decq %rax + andq %r8, %rax + + shrdq %cl, %r9, %r8 + shrdq %cl, %r10, %r9 + shrdq %cl, %r11, %r10 + shrq %cl, %r11 + + addq cf, %rax + movq %rax, bf + + movq %r8, RSCALAR(%rsp) + movq %r9, RSCALAR+8(%rsp) + movq %r10, RSCALAR+16(%rsp) + movq %r11, RSCALAR+24(%rsp) + +// Now if bf <= B we just select entry j, unnegated and set cf = 0. +// If bf > B we set j = 2 * B - bf and negate the j'th entry, setting cf = 1. +// In either case we ultimately add bf, in the latter case with deferred +// carry as 2 * B - (2 * B - bf) = bf. + + movl $1, %eax + movq blocksize, %rcx + shlq %cl, %rax + movq %rax, %rbx + shrq $1, %rax + + subq bf, %rbx + cmpq bf, %rax + + cmovncq bf, %rbx + sbbq %rax, %rax + movq %rbx, j + negq %rax + movq %rax, cf + +// Load table entry j - 1 for nonzero j in constant-time style. + + movq blocksize, %rcx + decq %rcx + movl $1, %esi + shlq %cl, %rsi + movq j, %r12 + movq table, %rbp + +Lp256_scalarmulbase_tabloop: + subq $1, %r12 + cmovzq (%rbp), %rax + cmovzq 8(%rbp), %rbx + cmovzq 16(%rbp), %rcx + cmovzq 24(%rbp), %rdx + cmovzq 32(%rbp), %r8 + cmovzq 40(%rbp), %r9 + cmovzq 48(%rbp), %r10 + cmovzq 56(%rbp), %r11 + + addq $64, %rbp + decq %rsi + jnz Lp256_scalarmulbase_tabloop + + movq %rbp, table + +// Before storing back, optionally negate the y coordinate of the table entry + + xorl %r14d, %r14d + leaq -1(%r14), %r12 + movq $0x00000000ffffffff, %r15 + movq %r15, %r13 + negq %r15 + + subq %r8, %r12 + sbbq %r9, %r13 + sbbq %r10, %r14 + sbbq %r11, %r15 + + movq %rax, TABENT(%rsp) + movq %rbx, TABENT+8(%rsp) + movq %rcx, TABENT+16(%rsp) + movq %rdx, TABENT+24(%rsp) + + movq cf, %rax + testq %rax, %rax + cmovnzq %r12, %r8 + cmovnzq %r13, %r9 + cmovnzq %r14, %r10 + cmovnzq %r15, %r11 + + movq %r8, TABENT+32(%rsp) + movq %r9, TABENT+40(%rsp) + movq %r10, TABENT+48(%rsp) + movq %r11, TABENT+56(%rsp) + +// Add the adjusted table point to the accumulator + + leaq NACC(%rsp), %rdi + leaq ACC(%rsp), %rsi + leaq TABENT(%rsp), %rdx + CFI_CALL(Lp256_scalarmulbase_local_p256_montjmixadd) + +// However, only commit that update to the accumulator if j is nonzero, +// because the mixed addition function does not handle this case directly, +// and in any case we didn't choose the table entry appropriately. + + movq j, %rax + testq %rax, %rax + + movq ACC(%rsp), %rax + cmovnzq NACC(%rsp), %rax + movq %rax, ACC(%rsp) + + movq ACC+8(%rsp), %rax + cmovnzq NACC+8(%rsp), %rax + movq %rax, ACC+8(%rsp) + + movq ACC+16(%rsp), %rax + cmovnzq NACC+16(%rsp), %rax + movq %rax, ACC+16(%rsp) + + movq ACC+24(%rsp), %rax + cmovnzq NACC+24(%rsp), %rax + movq %rax, ACC+24(%rsp) + + movq ACC+32(%rsp), %rax + cmovnzq NACC+32(%rsp), %rax + movq %rax, ACC+32(%rsp) + + movq ACC+40(%rsp), %rax + cmovnzq NACC+40(%rsp), %rax + movq %rax, ACC+40(%rsp) + + movq ACC+48(%rsp), %rax + cmovnzq NACC+48(%rsp), %rax + movq %rax, ACC+48(%rsp) + + movq ACC+56(%rsp), %rax + cmovnzq NACC+56(%rsp), %rax + movq %rax, ACC+56(%rsp) + + movq ACC+64(%rsp), %rax + cmovnzq NACC+64(%rsp), %rax + movq %rax, ACC+64(%rsp) + + movq ACC+72(%rsp), %rax + cmovnzq NACC+72(%rsp), %rax + movq %rax, ACC+72(%rsp) + + movq ACC+80(%rsp), %rax + cmovnzq NACC+80(%rsp), %rax + movq %rax, ACC+80(%rsp) + + movq ACC+88(%rsp), %rax + cmovnzq NACC+88(%rsp), %rax + movq %rax, ACC+88(%rsp) + +// Loop while blocksize * i <= 256 + + movq i, %rax + incq %rax + movq %rax, i + + imulq blocksize, %rax + cmpq $257, %rax + jc Lp256_scalarmulbase_loop + +// That's the end of the main loop, and we just need to translate +// back from the Jacobian representation to affine. First of all, +// let z2 = 1/z^2 and z3 = 1/z^3, both without Montgomery form + + leaq Z2(%rsp), %rdi + leaq ACC+64(%rsp), %rsi + CFI_CALL(Lp256_scalarmulbase_local_montsqr_p256) + + leaq Z3(%rsp), %rdi + leaq ACC+64(%rsp), %rsi + leaq Z2(%rsp), %rdx + CFI_CALL(Lp256_scalarmulbase_local_montmul_p256) + + leaq Z2(%rsp), %rdi + leaq Z3(%rsp), %rsi + CFI_CALL(Lp256_scalarmulbase_local_demont_p256) + + leaq Z3(%rsp), %rdi + leaq Z2(%rsp), %rsi + CFI_CALL(Lp256_scalarmulbase_local_inv_p256) + + leaq Z2(%rsp), %rdi + leaq ACC+64(%rsp), %rsi + leaq Z3(%rsp), %rdx + CFI_CALL(Lp256_scalarmulbase_local_montmul_p256) + +// Convert back from Jacobian (X, Y, Z) |-> (X/Z^2, Y/Z^3) + + movq res, %rdi + leaq ACC(%rsp), %rsi + leaq Z2(%rsp), %rdx + movq %rdi, %rbx + CFI_CALL(Lp256_scalarmulbase_local_montmul_p256) + + leaq 32(%rbx), %rdi + leaq ACC+32(%rsp), %rsi + leaq Z3(%rsp), %rdx + CFI_CALL(Lp256_scalarmulbase_local_montmul_p256) + +// Restore stack and registers and return + + CFI_INC_RSP(NSPACE) + CFI_POP(%rbx) + CFI_POP(%rbp) + CFI_POP(%r12) + CFI_POP(%r13) + CFI_POP(%r14) + CFI_POP(%r15) + CFI_RET + +#if WINDOWS_ABI +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_standard) +#else +S2N_BN_SIZE_DIRECTIVE(p256_scalarmulbase) +#endif + +// Local copies of subroutines, complete clones at the moment + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_local_demont_p256) + +Lp256_scalarmulbase_local_demont_p256: + CFI_START + CFI_PUSH(%rbx) + movq (%rsi), %r8 + movq 0x8(%rsi), %r9 + movq 0x10(%rsi), %r10 + movq 0x18(%rsi), %r11 + xorq %rbx, %rbx + xorq %rsi, %rsi + movq $0x100000000, %rdx + mulxq %r8, %rax, %rcx + adcxq %rax, %r9 + adoxq %rcx, %r10 + mulxq %r9, %rax, %rcx + adcxq %rax, %r10 + adoxq %rcx, %r11 + movq $0xffffffff00000001, %rdx + mulxq %r8, %rax, %rcx + adcxq %rax, %r11 + adoxq %rcx, %rbx + mulxq %r9, %rax, %rcx + adcxq %rax, %rbx + adoxq %rcx, %rsi + movl $0x0, %r8d + adcxq %r8, %rsi + xorq %r9, %r9 + movq $0x100000000, %rdx + mulxq %r10, %rax, %rcx + adcxq %rax, %r11 + adoxq %rcx, %rbx + mulxq %r11, %rax, %rcx + adcxq %rax, %rbx + adoxq %rcx, %rsi + movq $0xffffffff00000001, %rdx + mulxq %r10, %rax, %rcx + adcxq %rax, %rsi + adoxq %rcx, %r8 + mulxq %r11, %rax, %rcx + adcxq %rax, %r8 + adoxq %rcx, %r9 + movl $0x0, %r10d + adcxq %r10, %r9 + movq %rbx, (%rdi) + movq %rsi, 0x8(%rdi) + movq %r8, 0x10(%rdi) + movq %r9, 0x18(%rdi) + CFI_POP(%rbx) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_local_demont_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_local_inv_p256) + +Lp256_scalarmulbase_local_inv_p256: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(240) + movq %rdi, 0xe0(%rsp) + xorl %ecx, %ecx + movl $0xffffffff, %edx + movq %rdx, %rbx + leaq -0x1(%rcx), %rax + negq %rdx + movq %rax, (%rsp) + movq %rbx, 0x8(%rsp) + movq %rcx, 0x10(%rsp) + movq %rdx, 0x18(%rsp) + movq %rcx, 0x20(%rsp) + movq (%rsi), %r8 + movq 0x8(%rsi), %r9 + movq 0x10(%rsi), %r10 + movq 0x18(%rsi), %r11 + leaq 0x1(%rcx), %rax + addq %r8, %rax + leaq -0x1(%rdx), %rbx + adcq %r9, %rbx + notq %rcx + adcq %r10, %rcx + notq %rdx + adcq %r11, %rdx + cmovaeq %r8, %rax + cmovaeq %r9, %rbx + cmovaeq %r10, %rcx + cmovaeq %r11, %rdx + movq %rax, 0x28(%rsp) + movq %rbx, 0x30(%rsp) + movq %rcx, 0x38(%rsp) + movq %rdx, 0x40(%rsp) + xorl %eax, %eax + movq %rax, 0x48(%rsp) + xorl %eax, %eax + movq %rax, 0x50(%rsp) + movq %rax, 0x58(%rsp) + movq %rax, 0x60(%rsp) + movq %rax, 0x68(%rsp) + movq $0x4000000000000, %rcx + movq %rcx, 0x78(%rsp) + movq %rax, 0x80(%rsp) + movq %rax, 0x88(%rsp) + movq %rax, 0x90(%rsp) + movq $0xa, 0xb0(%rsp) + movq $0x1, 0xb8(%rsp) + jmp Lp256_scalarmulbase_inv_midloop +Lp256_scalarmulbase_inv_loop: + movq %r8, %r9 + sarq $0x3f, %r9 + xorq %r9, %r8 + subq %r9, %r8 + movq %r10, %r11 + sarq $0x3f, %r11 + xorq %r11, %r10 + subq %r11, %r10 + movq %r12, %r13 + sarq $0x3f, %r13 + xorq %r13, %r12 + subq %r13, %r12 + movq %r14, %r15 + sarq $0x3f, %r15 + xorq %r15, %r14 + subq %r15, %r14 + movq %r8, %rax + andq %r9, %rax + movq %r10, %rdi + andq %r11, %rdi + addq %rax, %rdi + movq %rdi, 0xa0(%rsp) + movq %r12, %rax + andq %r13, %rax + movq %r14, %rsi + andq %r15, %rsi + addq %rax, %rsi + movq %rsi, 0xa8(%rsp) + xorl %ebx, %ebx + movq (%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rdi + adcq %rdx, %rbx + movq 0x28(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rdi + adcq %rdx, %rbx + xorl %ebp, %ebp + movq (%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x28(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + xorl %ecx, %ecx + movq 0x8(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x30(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + shrdq $0x3b, %rbx, %rdi + movq %rdi, (%rsp) + xorl %edi, %edi + movq 0x8(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rbp + adcq %rdx, %rdi + movq 0x30(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rdi + shrdq $0x3b, %rbp, %rsi + movq %rsi, 0x28(%rsp) + xorl %esi, %esi + movq 0x10(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rsi + movq 0x38(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rsi + shrdq $0x3b, %rcx, %rbx + movq %rbx, 0x8(%rsp) + xorl %ebx, %ebx + movq 0x10(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rdi + adcq %rdx, %rbx + movq 0x38(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rdi + adcq %rdx, %rbx + shrdq $0x3b, %rdi, %rbp + movq %rbp, 0x30(%rsp) + movq 0x18(%rsp), %rax + xorq %r9, %rax + movq 0x20(%rsp), %rbp + xorq %r9, %rbp + andq %r8, %rbp + negq %rbp + mulq %r8 + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x40(%rsp), %rax + xorq %r11, %rax + movq 0x48(%rsp), %rdx + xorq %r11, %rdx + andq %r10, %rdx + subq %rdx, %rbp + mulq %r10 + addq %rax, %rsi + adcq %rdx, %rbp + shrdq $0x3b, %rsi, %rcx + movq %rcx, 0x10(%rsp) + shrdq $0x3b, %rbp, %rsi + sarq $0x3b, %rbp + movq 0x18(%rsp), %rax + movq %rsi, 0x18(%rsp) + movq 0x20(%rsp), %rsi + movq %rbp, 0x20(%rsp) + xorq %r13, %rax + xorq %r13, %rsi + andq %r12, %rsi + negq %rsi + mulq %r12 + addq %rax, %rbx + adcq %rdx, %rsi + movq 0x40(%rsp), %rax + xorq %r15, %rax + movq 0x48(%rsp), %rdx + xorq %r15, %rdx + andq %r14, %rdx + subq %rdx, %rsi + mulq %r14 + addq %rax, %rbx + adcq %rdx, %rsi + shrdq $0x3b, %rbx, %rdi + movq %rdi, 0x38(%rsp) + shrdq $0x3b, %rsi, %rbx + movq %rbx, 0x40(%rsp) + sarq $0x3b, %rsi + movq %rsi, 0x48(%rsp) + movq 0xa0(%rsp), %rbx + movq 0xa8(%rsp), %rbp + xorl %ecx, %ecx + movq 0x50(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x78(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + xorl %esi, %esi + movq 0x50(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, 0x50(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq 0x78(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, 0x78(%rsp) + xorl %ebx, %ebx + movq 0x58(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq 0x80(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rbx + xorl %ebp, %ebp + movq 0x58(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rcx, 0x58(%rsp) + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x80(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + movq %rsi, 0x80(%rsp) + xorl %ecx, %ecx + movq 0x60(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x88(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + xorl %esi, %esi + movq 0x60(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, 0x60(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq 0x88(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, 0x88(%rsp) + movq 0x68(%rsp), %rax + xorq %r9, %rax + movq %r9, %rbx + andq %r8, %rbx + negq %rbx + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq 0x90(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %rbx + mulq %r10 + addq %rax, %rcx + adcq %rbx, %rdx + movq 0x68(%rsp), %rax + movq %rcx, 0x68(%rsp) + movq %rdx, 0x70(%rsp) + xorq %r13, %rax + movq %r13, %rcx + andq %r12, %rcx + negq %rcx + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rcx + movq 0x90(%rsp), %rax + xorq %r15, %rax + movq %r15, %rdx + andq %r14, %rdx + subq %rdx, %rcx + mulq %r14 + addq %rax, %rsi + adcq %rcx, %rdx + movq %rsi, 0x90(%rsp) + movq %rdx, 0x98(%rsp) + movq $0xe000000000000000, %r8 + addq 0x50(%rsp), %r8 + movq $0xffffffffffffffff, %r9 + adcq 0x58(%rsp), %r9 + movq $0x1fffffff, %r10 + adcq 0x60(%rsp), %r10 + movq $0x2000000000000000, %r11 + adcq 0x68(%rsp), %r11 + movq $0x1fffffffe0000000, %r12 + adcq 0x70(%rsp), %r12 + movq %r8, %rbx + shlq $0x20, %rbx + movq $0xffffffff00000001, %rax + mulq %r8 + shrq $0x20, %r8 + addq %rbx, %r9 + adcq %r8, %r10 + adcq %rax, %r11 + adcq %rdx, %r12 + sbbq %rax, %rax + movl $0xffffffff, %ebx + andq %rax, %rbx + movq $0xffffffff00000001, %rdx + andq %rax, %rdx + subq %rax, %r9 + movq %r9, 0x50(%rsp) + sbbq %rbx, %r10 + movq %r10, 0x58(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x60(%rsp) + sbbq %rdx, %r12 + movq %r12, 0x68(%rsp) + movq $0xe000000000000000, %r8 + addq 0x78(%rsp), %r8 + movq $0xffffffffffffffff, %r9 + adcq 0x80(%rsp), %r9 + movq $0x1fffffff, %r10 + adcq 0x88(%rsp), %r10 + movq $0x2000000000000000, %r11 + adcq 0x90(%rsp), %r11 + movq $0x1fffffffe0000000, %r12 + adcq 0x98(%rsp), %r12 + movq %r8, %rbx + shlq $0x20, %rbx + movq $0xffffffff00000001, %rax + mulq %r8 + shrq $0x20, %r8 + addq %rbx, %r9 + adcq %r8, %r10 + adcq %rax, %r11 + adcq %rdx, %r12 + sbbq %rax, %rax + movl $0xffffffff, %ebx + andq %rax, %rbx + movq $0xffffffff00000001, %rdx + andq %rax, %rdx + subq %rax, %r9 + movq %r9, 0x78(%rsp) + sbbq %rbx, %r10 + movq %r10, 0x80(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x88(%rsp) + sbbq %rdx, %r12 + movq %r12, 0x90(%rsp) +Lp256_scalarmulbase_inv_midloop: + movq 0xb8(%rsp), %rsi + movq (%rsp), %rdx + movq 0x28(%rsp), %rcx + movq %rdx, %rbx + andq $0xfffff, %rbx + movq $0xfffffe0000000000, %rax + orq %rax, %rbx + andq $0xfffff, %rcx + movq $0xc000000000000000, %rax + orq %rax, %rcx + movq $0xfffffffffffffffe, %rax + xorl %ebp, %ebp + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %rdx + leaq (%rcx,%rax), %rdi + shlq $0x16, %rdx + shlq $0x16, %rdi + sarq $0x2b, %rdx + sarq $0x2b, %rdi + movq $0x20000100000, %rax + leaq (%rbx,%rax), %rbx + leaq (%rcx,%rax), %rcx + sarq $0x2a, %rbx + sarq $0x2a, %rcx + movq %rdx, 0xc0(%rsp) + movq %rbx, 0xc8(%rsp) + movq %rdi, 0xd0(%rsp) + movq %rcx, 0xd8(%rsp) + movq (%rsp), %r12 + imulq %r12, %rdi + imulq %rdx, %r12 + movq 0x28(%rsp), %r13 + imulq %r13, %rbx + imulq %rcx, %r13 + addq %rbx, %r12 + addq %rdi, %r13 + sarq $0x14, %r12 + sarq $0x14, %r13 + movq %r12, %rbx + andq $0xfffff, %rbx + movq $0xfffffe0000000000, %rax + orq %rax, %rbx + movq %r13, %rcx + andq $0xfffff, %rcx + movq $0xc000000000000000, %rax + orq %rax, %rcx + movq $0xfffffffffffffffe, %rax + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %r8 + leaq (%rcx,%rax), %r10 + shlq $0x16, %r8 + shlq $0x16, %r10 + sarq $0x2b, %r8 + sarq $0x2b, %r10 + movq $0x20000100000, %rax + leaq (%rbx,%rax), %r15 + leaq (%rcx,%rax), %r11 + sarq $0x2a, %r15 + sarq $0x2a, %r11 + movq %r13, %rbx + movq %r12, %rcx + imulq %r8, %r12 + imulq %r15, %rbx + addq %rbx, %r12 + imulq %r11, %r13 + imulq %r10, %rcx + addq %rcx, %r13 + sarq $0x14, %r12 + sarq $0x14, %r13 + movq %r12, %rbx + andq $0xfffff, %rbx + movq $0xfffffe0000000000, %rax + orq %rax, %rbx + movq %r13, %rcx + andq $0xfffff, %rcx + movq $0xc000000000000000, %rax + orq %rax, %rcx + movq 0xc0(%rsp), %rax + imulq %r8, %rax + movq 0xd0(%rsp), %rdx + imulq %r15, %rdx + imulq 0xc8(%rsp), %r8 + imulq 0xd8(%rsp), %r15 + addq %r8, %r15 + leaq (%rax,%rdx), %r9 + movq 0xc0(%rsp), %rax + imulq %r10, %rax + movq 0xd0(%rsp), %rdx + imulq %r11, %rdx + imulq 0xc8(%rsp), %r10 + imulq 0xd8(%rsp), %r11 + addq %r10, %r11 + leaq (%rax,%rdx), %r13 + movq $0xfffffffffffffffe, %rax + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %r8 + leaq (%rcx,%rax), %r12 + shlq $0x15, %r8 + shlq $0x15, %r12 + sarq $0x2b, %r8 + sarq $0x2b, %r12 + movq $0x20000100000, %rax + leaq (%rbx,%rax), %r10 + leaq (%rcx,%rax), %r14 + sarq $0x2b, %r10 + sarq $0x2b, %r14 + movq %r9, %rax + imulq %r8, %rax + movq %r13, %rdx + imulq %r10, %rdx + imulq %r15, %r8 + imulq %r11, %r10 + addq %r8, %r10 + leaq (%rax,%rdx), %r8 + movq %r9, %rax + imulq %r12, %rax + movq %r13, %rdx + imulq %r14, %rdx + imulq %r15, %r12 + imulq %r11, %r14 + addq %r12, %r14 + leaq (%rax,%rdx), %r12 + movq %rsi, 0xb8(%rsp) + decq 0xb0(%rsp) + jne Lp256_scalarmulbase_inv_loop + movq (%rsp), %rax + movq 0x28(%rsp), %rcx + imulq %r8, %rax + imulq %r10, %rcx + addq %rcx, %rax + sarq $0x3f, %rax + movq %r8, %r9 + sarq $0x3f, %r9 + xorq %r9, %r8 + subq %r9, %r8 + xorq %rax, %r9 + movq %r10, %r11 + sarq $0x3f, %r11 + xorq %r11, %r10 + subq %r11, %r10 + xorq %rax, %r11 + movq %r12, %r13 + sarq $0x3f, %r13 + xorq %r13, %r12 + subq %r13, %r12 + xorq %rax, %r13 + movq %r14, %r15 + sarq $0x3f, %r15 + xorq %r15, %r14 + subq %r15, %r14 + xorq %rax, %r15 + movq %r8, %rax + andq %r9, %rax + movq %r10, %r12 + andq %r11, %r12 + addq %rax, %r12 + xorl %r13d, %r13d + movq 0x50(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x78(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movq 0x58(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r13 + adcq %rdx, %r14 + movq 0x80(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq 0x60(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x88(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x68(%rsp), %rax + xorq %r9, %rax + andq %r8, %r9 + negq %r9 + mulq %r8 + addq %rax, %r15 + adcq %rdx, %r9 + movq 0x90(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %r9 + mulq %r10 + addq %rax, %r15 + adcq %rdx, %r9 + movq %r12, 0x50(%rsp) + movq %r13, 0x58(%rsp) + movq %r14, 0x60(%rsp) + movq %r15, 0x68(%rsp) + movq %r9, 0x70(%rsp) + movq $0xe000000000000000, %r8 + addq 0x50(%rsp), %r8 + movq $0xffffffffffffffff, %r9 + adcq 0x58(%rsp), %r9 + movq $0x1fffffff, %r10 + adcq 0x60(%rsp), %r10 + movq $0x2000000000000000, %r11 + adcq 0x68(%rsp), %r11 + movq $0x1fffffffe0000000, %r12 + adcq 0x70(%rsp), %r12 + movq %r8, %rbx + shlq $0x20, %rbx + movq $0xffffffff00000001, %rax + mulq %r8 + shrq $0x20, %r8 + addq %rbx, %r9 + adcq %r8, %r10 + adcq %rax, %r11 + adcq %rdx, %r12 + sbbq %rax, %rax + movl $0xffffffff, %ebx + andq %rax, %rbx + movq $0xffffffff00000001, %rdx + andq %rax, %rdx + subq %rax, %r9 + movq %r9, 0x50(%rsp) + sbbq %rbx, %r10 + movq %r10, 0x58(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x60(%rsp) + sbbq %rdx, %r12 + movq %r12, 0x68(%rsp) + movq 0x50(%rsp), %r8 + movq 0x58(%rsp), %r9 + movq 0x60(%rsp), %r10 + movq 0x68(%rsp), %r11 + movl $0x1, %eax + movl $0xffffffff, %ebx + leaq -0x2(%rax), %rcx + leaq -0x1(%rbx), %rdx + notq %rbx + addq %r8, %rax + adcq %r9, %rbx + adcq %r10, %rcx + adcq %r11, %rdx + cmovaeq %r8, %rax + cmovaeq %r9, %rbx + cmovaeq %r10, %rcx + cmovaeq %r11, %rdx + movq 0xe0(%rsp), %rdi + movq %rax, (%rdi) + movq %rbx, 0x8(%rdi) + movq %rcx, 0x10(%rdi) + movq %rdx, 0x18(%rdi) + CFI_INC_RSP(240) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_local_inv_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_local_montmul_p256) + +Lp256_scalarmulbase_local_montmul_p256: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + movq %rdx, %rcx + xorl %r13d, %r13d + movq (%rcx), %rdx + mulxq (%rsi), %r8, %r9 + mulxq 0x8(%rsi), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x10(%rsi), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x18(%rsi), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x8(%rcx), %rdx + xorl %r14d, %r14d + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x10(%rcx), %rdx + xorl %r8d, %r8d + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x18(%rsi), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x18(%rcx), %rdx + xorl %r9d, %r9d + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x18(%rsi), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, (%rdi) + movq %r13, 0x8(%rdi) + movq %r14, 0x10(%rdi) + movq %r15, 0x18(%rdi) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbx) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_local_montmul_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_local_montsqr_p256) + +Lp256_scalarmulbase_local_montsqr_p256: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + movq (%rsi), %rdx + mulxq %rdx, %r8, %r15 + mulxq 0x8(%rsi), %r9, %r10 + mulxq 0x18(%rsi), %r11, %r12 + movq 0x10(%rsi), %rdx + mulxq 0x18(%rsi), %r13, %r14 + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x18(%rsi), %rdx + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rbp, %r13 + adoxq %rbp, %r14 + adcq %rbp, %r14 + xorl %ebp, %ebp + adcxq %r9, %r9 + adoxq %r15, %r9 + movq 0x8(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x10(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x18(%rsi), %rdx + mulxq %rdx, %rax, %r15 + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %rbp, %r15 + adoxq %rbp, %r15 + xorl %ebp, %ebp + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq $0xffffffff00000001, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rbp, %r13 + movl %ebp, %r9d + adoxq %rbp, %r9 + adcxq %rbp, %r9 + addq %r9, %r14 + adcq %rbp, %r15 + movl %ebp, %r8d + adcq %rbp, %r8 + xorl %ebp, %ebp + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq $0xffffffff00000001, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rbp, %r15 + adoxq %rbp, %r8 + adcq %rbp, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rdx), %rdx + adcq %r13, %rdx + leaq -0x1(%rbp), %rbp + movq %rbp, %rax + adcq %r14, %rbp + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %rbp, %r14 + cmovbq %r11, %r15 + movq %r12, (%rdi) + movq %r13, 0x8(%rdi) + movq %r14, 0x10(%rdi) + movq %r15, 0x18(%rdi) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_local_montsqr_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_local_p256_montjmixadd) + +Lp256_scalarmulbase_local_p256_montjmixadd: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(192) + movq %rdx, %rbp + movq 0x40(%rsi), %rdx + mulxq %rdx, %r8, %r15 + mulxq 0x48(%rsi), %r9, %r10 + mulxq 0x58(%rsi), %r11, %r12 + movq 0x50(%rsi), %rdx + mulxq 0x58(%rsi), %r13, %r14 + xorl %ecx, %ecx + mulxq 0x40(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x48(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x58(%rsi), %rdx + mulxq 0x48(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rcx, %r13 + adoxq %rcx, %r14 + adcq %rcx, %r14 + xorl %ecx, %ecx + adcxq %r9, %r9 + adoxq %r15, %r9 + movq 0x48(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x50(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x58(%rsi), %rdx + mulxq %rdx, %rax, %r15 + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %rcx, %r15 + adoxq %rcx, %r15 + xorl %ecx, %ecx + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq $0xffffffff00000001, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rcx, %r13 + movl %ecx, %r9d + adoxq %rcx, %r9 + adcxq %rcx, %r9 + addq %r9, %r14 + adcq %rcx, %r15 + movl %ecx, %r8d + adcq %rcx, %r8 + xorl %ecx, %ecx + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq $0xffffffff00000001, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rcx, %r15 + adoxq %rcx, %r8 + adcq %rcx, %r8 + movl $0x1, %r8d + leaq -0x1(%rdx), %rdx + leaq -0x1(%rcx), %rax + movl $0xfffffffe, %r11d + cmoveq %rcx, %r8 + cmoveq %rcx, %rdx + cmoveq %rcx, %rax + cmoveq %rcx, %r11 + addq %r8, %r12 + adcq %rdx, %r13 + adcq %rax, %r14 + adcq %r11, %r15 + movq %r12, (%rsp) + movq %r13, 0x8(%rsp) + movq %r14, 0x10(%rsp) + movq %r15, 0x18(%rsp) + xorl %r13d, %r13d + movq 0x20(%rbp), %rdx + mulxq 0x40(%rsi), %r8, %r9 + mulxq 0x48(%rsi), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x50(%rsi), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x58(%rsi), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x28(%rbp), %rdx + xorl %r14d, %r14d + mulxq 0x40(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x48(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x50(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x58(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x30(%rbp), %rdx + xorl %r8d, %r8d + mulxq 0x40(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x48(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x50(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x58(%rsi), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x38(%rbp), %rdx + xorl %r9d, %r9d + mulxq 0x40(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x48(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x50(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x58(%rsi), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x20(%rsp) + movq %r13, 0x28(%rsp) + movq %r14, 0x30(%rsp) + movq %r15, 0x38(%rsp) + xorl %r13d, %r13d + movq 0x0(%rbp), %rdx + mulxq (%rsp), %r8, %r9 + mulxq 0x8(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x10(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x18(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x8(%rbp), %rdx + xorl %r14d, %r14d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x18(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x10(%rbp), %rdx + xorl %r8d, %r8d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x18(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x18(%rbp), %rdx + xorl %r9d, %r9d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x18(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x40(%rsp) + movq %r13, 0x48(%rsp) + movq %r14, 0x50(%rsp) + movq %r15, 0x58(%rsp) + xorl %r13d, %r13d + movq 0x20(%rsp), %rdx + mulxq (%rsp), %r8, %r9 + mulxq 0x8(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x10(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x18(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x28(%rsp), %rdx + xorl %r14d, %r14d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x18(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x30(%rsp), %rdx + xorl %r8d, %r8d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x18(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x38(%rsp), %rdx + xorl %r9d, %r9d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x18(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x20(%rsp) + movq %r13, 0x28(%rsp) + movq %r14, 0x30(%rsp) + movq %r15, 0x38(%rsp) + movq 0x40(%rsp), %rax + subq (%rsi), %rax + movq 0x48(%rsp), %rcx + sbbq 0x8(%rsi), %rcx + movq 0x50(%rsp), %r8 + sbbq 0x10(%rsi), %r8 + movq 0x58(%rsp), %r9 + sbbq 0x18(%rsi), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0xa0(%rsp) + adcq %r10, %rcx + movq %rcx, 0xa8(%rsp) + adcq $0x0, %r8 + movq %r8, 0xb0(%rsp) + adcq %rdx, %r9 + movq %r9, 0xb8(%rsp) + movq 0x20(%rsp), %rax + subq 0x20(%rsi), %rax + movq 0x28(%rsp), %rcx + sbbq 0x28(%rsi), %rcx + movq 0x30(%rsp), %r8 + sbbq 0x30(%rsi), %r8 + movq 0x38(%rsp), %r9 + sbbq 0x38(%rsi), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x20(%rsp) + adcq %r10, %rcx + movq %rcx, 0x28(%rsp) + adcq $0x0, %r8 + movq %r8, 0x30(%rsp) + adcq %rdx, %r9 + movq %r9, 0x38(%rsp) + movq 0xa0(%rsp), %rdx + mulxq %rdx, %r8, %r15 + mulxq 0xa8(%rsp), %r9, %r10 + mulxq 0xb8(%rsp), %r11, %r12 + movq 0xb0(%rsp), %rdx + mulxq 0xb8(%rsp), %r13, %r14 + xorl %ecx, %ecx + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0xb8(%rsp), %rdx + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rcx, %r13 + adoxq %rcx, %r14 + adcq %rcx, %r14 + xorl %ecx, %ecx + adcxq %r9, %r9 + adoxq %r15, %r9 + movq 0xa8(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0xb0(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0xb8(%rsp), %rdx + mulxq %rdx, %rax, %r15 + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %rcx, %r15 + adoxq %rcx, %r15 + xorl %ecx, %ecx + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq $0xffffffff00000001, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rcx, %r13 + movl %ecx, %r9d + adoxq %rcx, %r9 + adcxq %rcx, %r9 + addq %r9, %r14 + adcq %rcx, %r15 + movl %ecx, %r8d + adcq %rcx, %r8 + xorl %ecx, %ecx + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq $0xffffffff00000001, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rcx, %r15 + adoxq %rcx, %r8 + adcq %rcx, %r8 + movl $0x1, %r8d + leaq -0x1(%rdx), %rdx + leaq -0x1(%rcx), %rax + movl $0xfffffffe, %r11d + cmoveq %rcx, %r8 + cmoveq %rcx, %rdx + cmoveq %rcx, %rax + cmoveq %rcx, %r11 + addq %r8, %r12 + adcq %rdx, %r13 + adcq %rax, %r14 + adcq %r11, %r15 + movq %r12, 0x60(%rsp) + movq %r13, 0x68(%rsp) + movq %r14, 0x70(%rsp) + movq %r15, 0x78(%rsp) + movq 0x20(%rsp), %rdx + mulxq %rdx, %r8, %r15 + mulxq 0x28(%rsp), %r9, %r10 + mulxq 0x38(%rsp), %r11, %r12 + movq 0x30(%rsp), %rdx + mulxq 0x38(%rsp), %r13, %r14 + xorl %ecx, %ecx + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x28(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x38(%rsp), %rdx + mulxq 0x28(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rcx, %r13 + adoxq %rcx, %r14 + adcq %rcx, %r14 + xorl %ecx, %ecx + adcxq %r9, %r9 + adoxq %r15, %r9 + movq 0x28(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x30(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x38(%rsp), %rdx + mulxq %rdx, %rax, %r15 + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %rcx, %r15 + adoxq %rcx, %r15 + xorl %ecx, %ecx + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq $0xffffffff00000001, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %rcx, %r13 + movl %ecx, %r9d + adoxq %rcx, %r9 + adcxq %rcx, %r9 + addq %r9, %r14 + adcq %rcx, %r15 + movl %ecx, %r8d + adcq %rcx, %r8 + xorl %ecx, %ecx + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq $0xffffffff00000001, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rcx, %r15 + adoxq %rcx, %r8 + adcq %rcx, %r8 + movl $0x1, %ebx + addq %r12, %rbx + leaq -0x1(%rdx), %rdx + adcq %r13, %rdx + leaq -0x1(%rcx), %rcx + movq %rcx, %rax + adcq %r14, %rcx + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rbx, %r12 + cmovbq %rdx, %r13 + cmovbq %rcx, %r14 + cmovbq %r11, %r15 + movq %r12, (%rsp) + movq %r13, 0x8(%rsp) + movq %r14, 0x10(%rsp) + movq %r15, 0x18(%rsp) + xorl %r13d, %r13d + movq (%rsi), %rdx + mulxq 0x60(%rsp), %r8, %r9 + mulxq 0x68(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x70(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x78(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x8(%rsi), %rdx + xorl %r14d, %r14d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x78(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x10(%rsi), %rdx + xorl %r8d, %r8d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x78(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x18(%rsi), %rdx + xorl %r9d, %r9d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x78(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x80(%rsp) + movq %r13, 0x88(%rsp) + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + xorl %r13d, %r13d + movq 0x40(%rsp), %rdx + mulxq 0x60(%rsp), %r8, %r9 + mulxq 0x68(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x70(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x78(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x48(%rsp), %rdx + xorl %r14d, %r14d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x78(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x50(%rsp), %rdx + xorl %r8d, %r8d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x78(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x58(%rsp), %rdx + xorl %r9d, %r9d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x78(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x40(%rsp) + movq %r13, 0x48(%rsp) + movq %r14, 0x50(%rsp) + movq %r15, 0x58(%rsp) + movq (%rsp), %rax + subq 0x80(%rsp), %rax + movq 0x8(%rsp), %rcx + sbbq 0x88(%rsp), %rcx + movq 0x10(%rsp), %r8 + sbbq 0x90(%rsp), %r8 + movq 0x18(%rsp), %r9 + sbbq 0x98(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, (%rsp) + adcq %r10, %rcx + movq %rcx, 0x8(%rsp) + adcq $0x0, %r8 + movq %r8, 0x10(%rsp) + adcq %rdx, %r9 + movq %r9, 0x18(%rsp) + movq 0x40(%rsp), %rax + subq 0x80(%rsp), %rax + movq 0x48(%rsp), %rcx + sbbq 0x88(%rsp), %rcx + movq 0x50(%rsp), %r8 + sbbq 0x90(%rsp), %r8 + movq 0x58(%rsp), %r9 + sbbq 0x98(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x60(%rsp) + adcq %r10, %rcx + movq %rcx, 0x68(%rsp) + adcq $0x0, %r8 + movq %r8, 0x70(%rsp) + adcq %rdx, %r9 + movq %r9, 0x78(%rsp) + xorl %r13d, %r13d + movq 0x40(%rsi), %rdx + mulxq 0xa0(%rsp), %r8, %r9 + mulxq 0xa8(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0xb0(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0xb8(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x48(%rsi), %rdx + xorl %r14d, %r14d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xb8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x50(%rsi), %rdx + xorl %r8d, %r8d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x58(%rsi), %rdx + xorl %r9d, %r9d + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0xa0(%rsp) + movq %r13, 0xa8(%rsp) + movq %r14, 0xb0(%rsp) + movq %r15, 0xb8(%rsp) + movq (%rsp), %rax + subq 0x40(%rsp), %rax + movq 0x8(%rsp), %rcx + sbbq 0x48(%rsp), %rcx + movq 0x10(%rsp), %r8 + sbbq 0x50(%rsp), %r8 + movq 0x18(%rsp), %r9 + sbbq 0x58(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, (%rsp) + adcq %r10, %rcx + movq %rcx, 0x8(%rsp) + adcq $0x0, %r8 + movq %r8, 0x10(%rsp) + adcq %rdx, %r9 + movq %r9, 0x18(%rsp) + movq 0x80(%rsp), %rax + subq (%rsp), %rax + movq 0x88(%rsp), %rcx + sbbq 0x8(%rsp), %rcx + movq 0x90(%rsp), %r8 + sbbq 0x10(%rsp), %r8 + movq 0x98(%rsp), %r9 + sbbq 0x18(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x80(%rsp) + adcq %r10, %rcx + movq %rcx, 0x88(%rsp) + adcq $0x0, %r8 + movq %r8, 0x90(%rsp) + adcq %rdx, %r9 + movq %r9, 0x98(%rsp) + xorl %r13d, %r13d + movq 0x20(%rsi), %rdx + mulxq 0x60(%rsp), %r8, %r9 + mulxq 0x68(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x70(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x78(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x28(%rsi), %rdx + xorl %r14d, %r14d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x78(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x30(%rsi), %rdx + xorl %r8d, %r8d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x78(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x38(%rsi), %rdx + xorl %r9d, %r9d + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x70(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x78(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x60(%rsp) + movq %r13, 0x68(%rsp) + movq %r14, 0x70(%rsp) + movq %r15, 0x78(%rsp) + xorl %r13d, %r13d + movq 0x80(%rsp), %rdx + mulxq 0x20(%rsp), %r8, %r9 + mulxq 0x28(%rsp), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x30(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x38(%rsp), %rbx, %r12 + adcq %rbx, %r11 + adcq %r13, %r12 + movq 0x88(%rsp), %rdx + xorl %r14d, %r14d + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x28(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x30(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x38(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcq %r14, %r13 + xorl %r15d, %r15d + movq $0x100000000, %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq %r9, %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r8, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r9, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adcxq %r15, %r13 + adoxq %r15, %r14 + adcq %r15, %r14 + movq 0x90(%rsp), %rdx + xorl %r8d, %r8d + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x28(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x30(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + adoxq %r8, %r14 + mulxq 0x38(%rsp), %rax, %rbx + adcq %rax, %r13 + adcq %rbx, %r14 + adcq %r8, %r15 + movq 0x98(%rsp), %rdx + xorl %r9d, %r9d + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x28(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x30(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r9, %r15 + mulxq 0x38(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r9, %r8 + xorl %r9d, %r9d + movq $0x100000000, %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq %r11, %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + notq %rdx + leaq 0x2(%rdx), %rdx + mulxq %r10, %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq %r11, %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %r9, %r15 + adoxq %r9, %r8 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rdx + adcq %r13, %rdx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rdx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x80(%rsp) + movq %r13, 0x88(%rsp) + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + movq 0x80(%rsp), %rax + subq 0x60(%rsp), %rax + movq 0x88(%rsp), %rcx + sbbq 0x68(%rsp), %rcx + movq 0x90(%rsp), %r8 + sbbq 0x70(%rsp), %r8 + movq 0x98(%rsp), %r9 + sbbq 0x78(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x80(%rsp) + adcq %r10, %rcx + movq %rcx, 0x88(%rsp) + adcq $0x0, %r8 + movq %r8, 0x90(%rsp) + adcq %rdx, %r9 + movq %r9, 0x98(%rsp) + movq 0x40(%rsi), %rax + movq 0x48(%rsi), %rdx + orq 0x50(%rsi), %rax + orq 0x58(%rsi), %rdx + orq %rdx, %rax + movq (%rsp), %r8 + movq 0x0(%rbp), %rax + cmoveq %rax, %r8 + movq 0x8(%rsp), %r9 + movq 0x8(%rbp), %rax + cmoveq %rax, %r9 + movq 0x10(%rsp), %r10 + movq 0x10(%rbp), %rax + cmoveq %rax, %r10 + movq 0x18(%rsp), %r11 + movq 0x18(%rbp), %rax + cmoveq %rax, %r11 + movq 0x80(%rsp), %r12 + movq 0x20(%rbp), %rax + cmoveq %rax, %r12 + movq 0x88(%rsp), %r13 + movq 0x28(%rbp), %rax + cmoveq %rax, %r13 + movq 0x90(%rsp), %r14 + movq 0x30(%rbp), %rax + cmoveq %rax, %r14 + movq 0x98(%rsp), %r15 + movq 0x38(%rbp), %rax + cmoveq %rax, %r15 + movq %r8, (%rdi) + movq %r9, 0x8(%rdi) + movq %r10, 0x10(%rdi) + movq %r11, 0x18(%rdi) + movq %r12, 0x20(%rdi) + movq %r13, 0x28(%rdi) + movq %r14, 0x30(%rdi) + movq %r15, 0x38(%rdi) + movq 0xa0(%rsp), %r8 + movq 0xa8(%rsp), %r9 + movq 0xb0(%rsp), %r10 + movq 0xb8(%rsp), %r11 + movl $0x1, %eax + cmoveq %rax, %r8 + movq $0xffffffff00000000, %rax + cmoveq %rax, %r9 + movq $0xffffffffffffffff, %rax + cmoveq %rax, %r10 + movl $0xfffffffe, %eax + cmoveq %rax, %r11 + movq %r8, 0x40(%rdi) + movq %r9, 0x48(%rdi) + movq %r10, 0x50(%rdi) + movq %r11, 0x58(%rdi) + CFI_INC_RSP(192) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_local_p256_montjmixadd) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/x86_att/p256_scalarmulbase_alt.S b/cbits/s2n/x86_att/p256_scalarmulbase_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/p256_scalarmulbase_alt.S @@ -0,0 +1,4212 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Scalar multiplication for precomputed point on NIST curve P-256 +// Input scalar[4], blocksize, table[]; output res[8] +// +// extern void p256_scalarmulbase_alt +// (uint64_t res[static 8], +// const uint64_t scalar[static 4], +// uint64_t blocksize, +// const uint64_t *table); +// +// Given scalar = n and point = P, assumed to be on the NIST elliptic +// curve P-256, the input argument "table" is expected to be a table of +// multiples of the point P in Montgomery-affine form, with each block +// corresponding to "blocksize" bits of the scalar as follows, where +// B = 2^{blocksize-1} (e.g. B = 8 for blocksize = 4): +// +// For each i,j with blocksize * i <= 256 and 1 <= j <= B +// the multiple 2^{blocksize * i} * j * P is stored at +// tab[8 * (B * i + (j - 1))], considered as uint64_t pointers +// or tab + 64 * (B * i + (j - 1)) as byte pointers. +// +// Standard x86-64 ABI: RDI = res, RSI = scalar, RDX = blocksize, RCX = table +// Microsoft x64 ABI: RCX = res, RDX = scalar, R8 = blocksize, R9 = table +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p256_scalarmulbase_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p256_scalarmulbase_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p256_scalarmulbase_alt) + + + .text + .balign 32 + +// Size of individual field elements + +#define NUMSIZE 32 + +// Intermediate variables on the stack. The last z2, z3 values can +// safely be overlaid on "nacc", which is no longer needed at the end. +// Uppercase syntactic variants make x86_att version simpler to generate + +#define RSCALAR (0*NUMSIZE) +#define ACC (1*NUMSIZE) +#define NACC (4*NUMSIZE) +#define TABENT (7*NUMSIZE) +#define Z2 (4*NUMSIZE) +#define Z3 (5*NUMSIZE) + +#define rscalar RSCALAR(%rsp) +#define acc ACC(%rsp) +#define nacc NACC(%rsp) +#define tabent TABENT(%rsp) + +#define z2 Z2(%rsp) +#define z3 Z3(%rsp) + +#define res (9*NUMSIZE)(%rsp) +#define blocksize (9*NUMSIZE+8)(%rsp) +#define table (9*NUMSIZE+16)(%rsp) +#define i (9*NUMSIZE+24)(%rsp) +#define bf (9*NUMSIZE+32)(%rsp) +#define cf (9*NUMSIZE+40)(%rsp) +#define j (9*NUMSIZE+48)(%rsp) + +#define NSPACE 11*NUMSIZE + +S2N_BN_SYMBOL(p256_scalarmulbase_alt): + CFI_START + _CET_ENDBR + +// The Windows version literally calls the standard ABI version. +// This simplifies the proofs since subroutine offsets are fixed. + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx + movq %r9, %rcx + CFI_CALL(Lp256_scalarmulbase_alt_standard) + CFI_POP(%rsi) + CFI_POP(%rdi) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p256_scalarmulbase_alt) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_alt_standard) + +Lp256_scalarmulbase_alt_standard: + CFI_START +#endif + +// Real start of the standard ABI code. + + CFI_PUSH(%r15) + CFI_PUSH(%r14) + CFI_PUSH(%r13) + CFI_PUSH(%r12) + CFI_PUSH(%rbp) + CFI_PUSH(%rbx) + + CFI_DEC_RSP(NSPACE) + +// Preserve the input arguments except the scalar, since that gets absorbed +// immediately. The "table" value subsequently gets shifted up each iteration +// of the loop, while "res" and "blocksize" are static throughout. + + movq %rdi, res + movq %rdx, blocksize + movq %rcx, table + +// Load the digits of group order n_256 = [%r15;%r14;%r13;%r12] + + movq $0xf3b9cac2fc632551, %r12 + movq $0xbce6faada7179e84, %r13 + movq $0xffffffffffffffff, %r14 + movq $0xffffffff00000000, %r15 + +// First, reduce the input scalar mod n_256, i.e. conditionally subtract n_256 +// Store it to "rscalar" (reduced scalar) + + movq (%rsi), %r8 + subq %r12, %r8 + movq 8(%rsi), %r9 + sbbq %r13, %r9 + movq 16(%rsi), %r10 + sbbq %r14, %r10 + movq 24(%rsi), %r11 + sbbq %r15, %r11 + + cmovcq (%rsi), %r8 + cmovcq 8(%rsi), %r9 + cmovcq 16(%rsi), %r10 + cmovcq 24(%rsi), %r11 + + movq %r8, RSCALAR(%rsp) + movq %r9, RSCALAR+8(%rsp) + movq %r10, RSCALAR+16(%rsp) + movq %r11, RSCALAR+24(%rsp) + +// Initialize the accumulator to all zeros and the "carry flag" cf to 0 + + xorl %eax, %eax + + movq %rax, ACC(%rsp) + movq %rax, ACC+8(%rsp) + movq %rax, ACC+16(%rsp) + movq %rax, ACC+24(%rsp) + movq %rax, ACC+32(%rsp) + movq %rax, ACC+40(%rsp) + movq %rax, ACC+48(%rsp) + movq %rax, ACC+56(%rsp) + movq %rax, ACC+64(%rsp) + movq %rax, ACC+72(%rsp) + movq %rax, ACC+80(%rsp) + movq %rax, ACC+88(%rsp) + + movq %rax, cf + +// Main loop over {i >= 0 | blocksize * i <= 256}. Note the non-strict +// inequality, to allow top carry for any choices of blocksize. + + movq %rax, i + +Lp256_scalarmulbase_alt_loop: + +// The next raw bitfield is bf = bitfield(blocksize * i,blocksize) + cf, +// adding in the deferred carry cf. We then shift the whole scalar right +// by blocksize so we can keep picking bitfield(0,blocksize). + + movq RSCALAR(%rsp), %r8 + movq RSCALAR+8(%rsp), %r9 + movq RSCALAR+16(%rsp), %r10 + movq RSCALAR+24(%rsp), %r11 + + movq blocksize, %rcx + movl $1, %eax + shlq %cl, %rax + decq %rax + andq %r8, %rax + + shrdq %cl, %r9, %r8 + shrdq %cl, %r10, %r9 + shrdq %cl, %r11, %r10 + shrq %cl, %r11 + + addq cf, %rax + movq %rax, bf + + movq %r8, RSCALAR(%rsp) + movq %r9, RSCALAR+8(%rsp) + movq %r10, RSCALAR+16(%rsp) + movq %r11, RSCALAR+24(%rsp) + +// Now if bf <= B we just select entry j, unnegated and set cf = 0. +// If bf > B we set j = 2 * B - bf and negate the j'th entry, setting cf = 1. +// In either case we ultimately add bf, in the latter case with deferred +// carry as 2 * B - (2 * B - bf) = bf. + + movl $1, %eax + movq blocksize, %rcx + shlq %cl, %rax + movq %rax, %rbx + shrq $1, %rax + + subq bf, %rbx + cmpq bf, %rax + + cmovncq bf, %rbx + sbbq %rax, %rax + movq %rbx, j + negq %rax + movq %rax, cf + +// Load table entry j - 1 for nonzero j in constant-time style. + + movq blocksize, %rcx + decq %rcx + movl $1, %esi + shlq %cl, %rsi + movq j, %r12 + movq table, %rbp + +Lp256_scalarmulbase_alt_tabloop: + subq $1, %r12 + cmovzq (%rbp), %rax + cmovzq 8(%rbp), %rbx + cmovzq 16(%rbp), %rcx + cmovzq 24(%rbp), %rdx + cmovzq 32(%rbp), %r8 + cmovzq 40(%rbp), %r9 + cmovzq 48(%rbp), %r10 + cmovzq 56(%rbp), %r11 + + addq $64, %rbp + decq %rsi + jnz Lp256_scalarmulbase_alt_tabloop + + movq %rbp, table + +// Before storing back, optionally negate the y coordinate of the table entry + + xorl %r14d, %r14d + leaq -1(%r14), %r12 + movq $0x00000000ffffffff, %r15 + movq %r15, %r13 + negq %r15 + + subq %r8, %r12 + sbbq %r9, %r13 + sbbq %r10, %r14 + sbbq %r11, %r15 + + movq %rax, TABENT(%rsp) + movq %rbx, TABENT+8(%rsp) + movq %rcx, TABENT+16(%rsp) + movq %rdx, TABENT+24(%rsp) + + movq cf, %rax + testq %rax, %rax + cmovnzq %r12, %r8 + cmovnzq %r13, %r9 + cmovnzq %r14, %r10 + cmovnzq %r15, %r11 + + movq %r8, TABENT+32(%rsp) + movq %r9, TABENT+40(%rsp) + movq %r10, TABENT+48(%rsp) + movq %r11, TABENT+56(%rsp) + +// Add the adjusted table point to the accumulator + + leaq NACC(%rsp), %rdi + leaq ACC(%rsp), %rsi + leaq TABENT(%rsp), %rdx + CFI_CALL(Lp256_scalarmulbase_alt_local_p256_montjmixadd) + +// However, only commit that update to the accumulator if j is nonzero, +// because the mixed addition function does not handle this case directly, +// and in any case we didn't choose the table entry appropriately. + + movq j, %rax + testq %rax, %rax + + movq ACC(%rsp), %rax + cmovnzq NACC(%rsp), %rax + movq %rax, ACC(%rsp) + + movq ACC+8(%rsp), %rax + cmovnzq NACC+8(%rsp), %rax + movq %rax, ACC+8(%rsp) + + movq ACC+16(%rsp), %rax + cmovnzq NACC+16(%rsp), %rax + movq %rax, ACC+16(%rsp) + + movq ACC+24(%rsp), %rax + cmovnzq NACC+24(%rsp), %rax + movq %rax, ACC+24(%rsp) + + movq ACC+32(%rsp), %rax + cmovnzq NACC+32(%rsp), %rax + movq %rax, ACC+32(%rsp) + + movq ACC+40(%rsp), %rax + cmovnzq NACC+40(%rsp), %rax + movq %rax, ACC+40(%rsp) + + movq ACC+48(%rsp), %rax + cmovnzq NACC+48(%rsp), %rax + movq %rax, ACC+48(%rsp) + + movq ACC+56(%rsp), %rax + cmovnzq NACC+56(%rsp), %rax + movq %rax, ACC+56(%rsp) + + movq ACC+64(%rsp), %rax + cmovnzq NACC+64(%rsp), %rax + movq %rax, ACC+64(%rsp) + + movq ACC+72(%rsp), %rax + cmovnzq NACC+72(%rsp), %rax + movq %rax, ACC+72(%rsp) + + movq ACC+80(%rsp), %rax + cmovnzq NACC+80(%rsp), %rax + movq %rax, ACC+80(%rsp) + + movq ACC+88(%rsp), %rax + cmovnzq NACC+88(%rsp), %rax + movq %rax, ACC+88(%rsp) + +// Loop while blocksize * i <= 256 + + movq i, %rax + incq %rax + movq %rax, i + + imulq blocksize, %rax + cmpq $257, %rax + jc Lp256_scalarmulbase_alt_loop + +// That's the end of the main loop, and we just need to translate +// back from the Jacobian representation to affine. First of all, +// let z2 = 1/z^2 and z3 = 1/z^3, both without Montgomery form + + leaq Z2(%rsp), %rdi + leaq ACC+64(%rsp), %rsi + CFI_CALL(Lp256_scalarmulbase_alt_local_montsqr_p256) + + leaq Z3(%rsp), %rdi + leaq ACC+64(%rsp), %rsi + leaq Z2(%rsp), %rdx + CFI_CALL(Lp256_scalarmulbase_alt_local_montmul_p256) + + leaq Z2(%rsp), %rdi + leaq Z3(%rsp), %rsi + CFI_CALL(Lp256_scalarmulbase_alt_local_demont_p256) + + leaq Z3(%rsp), %rdi + leaq Z2(%rsp), %rsi + CFI_CALL(Lp256_scalarmulbase_alt_local_inv_p256) + + leaq Z2(%rsp), %rdi + leaq ACC+64(%rsp), %rsi + leaq Z3(%rsp), %rdx + CFI_CALL(Lp256_scalarmulbase_alt_local_montmul_p256) + +// Convert back from Jacobian (X, Y, Z) |-> (X/Z^2, Y/Z^3) + + movq res, %rdi + leaq ACC(%rsp), %rsi + leaq Z2(%rsp), %rdx + movq %rdi, %rbx + CFI_CALL(Lp256_scalarmulbase_alt_local_montmul_p256) + + leaq 32(%rbx), %rdi + leaq ACC+32(%rsp), %rsi + leaq Z3(%rsp), %rdx + CFI_CALL(Lp256_scalarmulbase_alt_local_montmul_p256) + +// Restore stack and registers and return + + CFI_INC_RSP(NSPACE) + CFI_POP(%rbx) + CFI_POP(%rbp) + CFI_POP(%r12) + CFI_POP(%r13) + CFI_POP(%r14) + CFI_POP(%r15) + CFI_RET + +#if WINDOWS_ABI +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_alt_standard) +#else +S2N_BN_SIZE_DIRECTIVE(p256_scalarmulbase_alt) +#endif + +// Local copies of subroutines, complete clones at the moment + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_alt_local_demont_p256) + +Lp256_scalarmulbase_alt_local_demont_p256: + CFI_START + movq (%rsi), %r8 + movq 0x8(%rsi), %r9 + movq 0x10(%rsi), %r10 + movq 0x18(%rsi), %r11 + movabsq $0x100000000, %rcx + movq %r8, %rax + mulq %rcx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rsi, %rsi + movq %r9, %rax + mulq %rcx + subq %rsi, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rsi, %rsi + negq %rcx + negq %rsi + incq %rcx + movq %r8, %rax + mulq %rcx + addq %rax, %r11 + adcq %rdx, %rsi + sbbq %r8, %r8 + negq %r8 + movq %r9, %rax + mulq %rcx + addq %rax, %rsi + adcq %rdx, %r8 + negq %rcx + incq %rcx + movq %r10, %rax + mulq %rcx + addq %rax, %r11 + adcq %rdx, %rsi + sbbq %r9, %r9 + movq %r11, %rax + mulq %rcx + subq %r9, %rdx + addq %rax, %rsi + adcq %rdx, %r8 + sbbq %r9, %r9 + negq %rcx + negq %r9 + incq %rcx + movq %r10, %rax + mulq %rcx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r10, %r10 + negq %r10 + movq %r11, %rax + mulq %rcx + addq %rax, %r9 + adcq %rdx, %r10 + movq %rsi, (%rdi) + movq %r8, 0x8(%rdi) + movq %r9, 0x10(%rdi) + movq %r10, 0x18(%rdi) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_alt_local_demont_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_alt_local_inv_p256) + +Lp256_scalarmulbase_alt_local_inv_p256: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(240) + movq %rdi, 0xe0(%rsp) + xorl %ecx, %ecx + movl $0xffffffff, %edx + movq %rdx, %rbx + leaq -0x1(%rcx), %rax + negq %rdx + movq %rax, (%rsp) + movq %rbx, 0x8(%rsp) + movq %rcx, 0x10(%rsp) + movq %rdx, 0x18(%rsp) + movq %rcx, 0x20(%rsp) + movq (%rsi), %r8 + movq 0x8(%rsi), %r9 + movq 0x10(%rsi), %r10 + movq 0x18(%rsi), %r11 + leaq 0x1(%rcx), %rax + addq %r8, %rax + leaq -0x1(%rdx), %rbx + adcq %r9, %rbx + notq %rcx + adcq %r10, %rcx + notq %rdx + adcq %r11, %rdx + cmovaeq %r8, %rax + cmovaeq %r9, %rbx + cmovaeq %r10, %rcx + cmovaeq %r11, %rdx + movq %rax, 0x28(%rsp) + movq %rbx, 0x30(%rsp) + movq %rcx, 0x38(%rsp) + movq %rdx, 0x40(%rsp) + xorl %eax, %eax + movq %rax, 0x48(%rsp) + xorl %eax, %eax + movq %rax, 0x50(%rsp) + movq %rax, 0x58(%rsp) + movq %rax, 0x60(%rsp) + movq %rax, 0x68(%rsp) + movabsq $0x4000000000000, %rcx + movq %rcx, 0x78(%rsp) + movq %rax, 0x80(%rsp) + movq %rax, 0x88(%rsp) + movq %rax, 0x90(%rsp) + movq $0xa, 0xb0(%rsp) + movq $0x1, 0xb8(%rsp) + jmp Lp256_scalarmulbase_alt_inv_midloop +Lp256_scalarmulbase_alt_inv_loop: + movq %r8, %r9 + sarq $0x3f, %r9 + xorq %r9, %r8 + subq %r9, %r8 + movq %r10, %r11 + sarq $0x3f, %r11 + xorq %r11, %r10 + subq %r11, %r10 + movq %r12, %r13 + sarq $0x3f, %r13 + xorq %r13, %r12 + subq %r13, %r12 + movq %r14, %r15 + sarq $0x3f, %r15 + xorq %r15, %r14 + subq %r15, %r14 + movq %r8, %rax + andq %r9, %rax + movq %r10, %rdi + andq %r11, %rdi + addq %rax, %rdi + movq %rdi, 0xa0(%rsp) + movq %r12, %rax + andq %r13, %rax + movq %r14, %rsi + andq %r15, %rsi + addq %rax, %rsi + movq %rsi, 0xa8(%rsp) + xorl %ebx, %ebx + movq (%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rdi + adcq %rdx, %rbx + movq 0x28(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rdi + adcq %rdx, %rbx + xorl %ebp, %ebp + movq (%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x28(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + xorl %ecx, %ecx + movq 0x8(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x30(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + shrdq $0x3b, %rbx, %rdi + movq %rdi, (%rsp) + xorl %edi, %edi + movq 0x8(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rbp + adcq %rdx, %rdi + movq 0x30(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rdi + shrdq $0x3b, %rbp, %rsi + movq %rsi, 0x28(%rsp) + xorl %esi, %esi + movq 0x10(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rsi + movq 0x38(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rsi + shrdq $0x3b, %rcx, %rbx + movq %rbx, 0x8(%rsp) + xorl %ebx, %ebx + movq 0x10(%rsp), %rax + xorq %r13, %rax + mulq %r12 + addq %rax, %rdi + adcq %rdx, %rbx + movq 0x38(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rdi + adcq %rdx, %rbx + shrdq $0x3b, %rdi, %rbp + movq %rbp, 0x30(%rsp) + movq 0x18(%rsp), %rax + xorq %r9, %rax + movq 0x20(%rsp), %rbp + xorq %r9, %rbp + andq %r8, %rbp + negq %rbp + mulq %r8 + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x40(%rsp), %rax + xorq %r11, %rax + movq 0x48(%rsp), %rdx + xorq %r11, %rdx + andq %r10, %rdx + subq %rdx, %rbp + mulq %r10 + addq %rax, %rsi + adcq %rdx, %rbp + shrdq $0x3b, %rsi, %rcx + movq %rcx, 0x10(%rsp) + shrdq $0x3b, %rbp, %rsi + sarq $0x3b, %rbp + movq 0x18(%rsp), %rax + movq %rsi, 0x18(%rsp) + movq 0x20(%rsp), %rsi + movq %rbp, 0x20(%rsp) + xorq %r13, %rax + xorq %r13, %rsi + andq %r12, %rsi + negq %rsi + mulq %r12 + addq %rax, %rbx + adcq %rdx, %rsi + movq 0x40(%rsp), %rax + xorq %r15, %rax + movq 0x48(%rsp), %rdx + xorq %r15, %rdx + andq %r14, %rdx + subq %rdx, %rsi + mulq %r14 + addq %rax, %rbx + adcq %rdx, %rsi + shrdq $0x3b, %rbx, %rdi + movq %rdi, 0x38(%rsp) + shrdq $0x3b, %rsi, %rbx + movq %rbx, 0x40(%rsp) + sarq $0x3b, %rsi + movq %rsi, 0x48(%rsp) + movq 0xa0(%rsp), %rbx + movq 0xa8(%rsp), %rbp + xorl %ecx, %ecx + movq 0x50(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x78(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + xorl %esi, %esi + movq 0x50(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, 0x50(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq 0x78(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, 0x78(%rsp) + xorl %ebx, %ebx + movq 0x58(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq 0x80(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rcx + adcq %rdx, %rbx + xorl %ebp, %ebp + movq 0x58(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rcx, 0x58(%rsp) + addq %rax, %rsi + adcq %rdx, %rbp + movq 0x80(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rsi + adcq %rdx, %rbp + movq %rsi, 0x80(%rsp) + xorl %ecx, %ecx + movq 0x60(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %rbx + adcq %rdx, %rcx + movq 0x88(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %rbx + adcq %rdx, %rcx + xorl %esi, %esi + movq 0x60(%rsp), %rax + xorq %r13, %rax + mulq %r12 + movq %rbx, 0x60(%rsp) + addq %rax, %rbp + adcq %rdx, %rsi + movq 0x88(%rsp), %rax + xorq %r15, %rax + mulq %r14 + addq %rax, %rbp + adcq %rdx, %rsi + movq %rbp, 0x88(%rsp) + movq 0x68(%rsp), %rax + xorq %r9, %rax + movq %r9, %rbx + andq %r8, %rbx + negq %rbx + mulq %r8 + addq %rax, %rcx + adcq %rdx, %rbx + movq 0x90(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %rbx + mulq %r10 + addq %rax, %rcx + adcq %rbx, %rdx + movq 0x68(%rsp), %rax + movq %rcx, 0x68(%rsp) + movq %rdx, 0x70(%rsp) + xorq %r13, %rax + movq %r13, %rcx + andq %r12, %rcx + negq %rcx + mulq %r12 + addq %rax, %rsi + adcq %rdx, %rcx + movq 0x90(%rsp), %rax + xorq %r15, %rax + movq %r15, %rdx + andq %r14, %rdx + subq %rdx, %rcx + mulq %r14 + addq %rax, %rsi + adcq %rcx, %rdx + movq %rsi, 0x90(%rsp) + movq %rdx, 0x98(%rsp) + movabsq $0xe000000000000000, %r8 + addq 0x50(%rsp), %r8 + movq $0xffffffffffffffff, %r9 + adcq 0x58(%rsp), %r9 + movq $0x1fffffff, %r10 + adcq 0x60(%rsp), %r10 + movabsq $0x2000000000000000, %r11 + adcq 0x68(%rsp), %r11 + movabsq $0x1fffffffe0000000, %r12 + adcq 0x70(%rsp), %r12 + movq %r8, %rbx + shlq $0x20, %rbx + movabsq $0xffffffff00000001, %rax + mulq %r8 + shrq $0x20, %r8 + addq %rbx, %r9 + adcq %r8, %r10 + adcq %rax, %r11 + adcq %rdx, %r12 + sbbq %rax, %rax + movl $0xffffffff, %ebx + andq %rax, %rbx + movabsq $0xffffffff00000001, %rdx + andq %rax, %rdx + subq %rax, %r9 + movq %r9, 0x50(%rsp) + sbbq %rbx, %r10 + movq %r10, 0x58(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x60(%rsp) + sbbq %rdx, %r12 + movq %r12, 0x68(%rsp) + movabsq $0xe000000000000000, %r8 + addq 0x78(%rsp), %r8 + movq $0xffffffffffffffff, %r9 + adcq 0x80(%rsp), %r9 + movq $0x1fffffff, %r10 + adcq 0x88(%rsp), %r10 + movabsq $0x2000000000000000, %r11 + adcq 0x90(%rsp), %r11 + movabsq $0x1fffffffe0000000, %r12 + adcq 0x98(%rsp), %r12 + movq %r8, %rbx + shlq $0x20, %rbx + movabsq $0xffffffff00000001, %rax + mulq %r8 + shrq $0x20, %r8 + addq %rbx, %r9 + adcq %r8, %r10 + adcq %rax, %r11 + adcq %rdx, %r12 + sbbq %rax, %rax + movl $0xffffffff, %ebx + andq %rax, %rbx + movabsq $0xffffffff00000001, %rdx + andq %rax, %rdx + subq %rax, %r9 + movq %r9, 0x78(%rsp) + sbbq %rbx, %r10 + movq %r10, 0x80(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x88(%rsp) + sbbq %rdx, %r12 + movq %r12, 0x90(%rsp) +Lp256_scalarmulbase_alt_inv_midloop: + movq 0xb8(%rsp), %rsi + movq (%rsp), %rdx + movq 0x28(%rsp), %rcx + movq %rdx, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq $0xfffffffffffffffe, %rax + xorl %ebp, %ebp + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %rdx + leaq (%rcx,%rax), %rdi + shlq $0x16, %rdx + shlq $0x16, %rdi + sarq $0x2b, %rdx + sarq $0x2b, %rdi + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %rbx + leaq (%rcx,%rax), %rcx + sarq $0x2a, %rbx + sarq $0x2a, %rcx + movq %rdx, 0xc0(%rsp) + movq %rbx, 0xc8(%rsp) + movq %rdi, 0xd0(%rsp) + movq %rcx, 0xd8(%rsp) + movq (%rsp), %r12 + imulq %r12, %rdi + imulq %rdx, %r12 + movq 0x28(%rsp), %r13 + imulq %r13, %rbx + imulq %rcx, %r13 + addq %rbx, %r12 + addq %rdi, %r13 + sarq $0x14, %r12 + sarq $0x14, %r13 + movq %r12, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + movq %r13, %rcx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq $0xfffffffffffffffe, %rax + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %r8 + leaq (%rcx,%rax), %r10 + shlq $0x16, %r8 + shlq $0x16, %r10 + sarq $0x2b, %r8 + sarq $0x2b, %r10 + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %r15 + leaq (%rcx,%rax), %r11 + sarq $0x2a, %r15 + sarq $0x2a, %r11 + movq %r13, %rbx + movq %r12, %rcx + imulq %r8, %r12 + imulq %r15, %rbx + addq %rbx, %r12 + imulq %r11, %r13 + imulq %r10, %rcx + addq %rcx, %r13 + sarq $0x14, %r12 + sarq $0x14, %r13 + movq %r12, %rbx + andq $0xfffff, %rbx + movabsq $0xfffffe0000000000, %rax + orq %rax, %rbx + movq %r13, %rcx + andq $0xfffff, %rcx + movabsq $0xc000000000000000, %rax + orq %rax, %rcx + movq 0xc0(%rsp), %rax + imulq %r8, %rax + movq 0xd0(%rsp), %rdx + imulq %r15, %rdx + imulq 0xc8(%rsp), %r8 + imulq 0xd8(%rsp), %r15 + addq %r8, %r15 + leaq (%rax,%rdx), %r9 + movq 0xc0(%rsp), %rax + imulq %r10, %rax + movq 0xd0(%rsp), %rdx + imulq %r11, %rdx + imulq 0xc8(%rsp), %r10 + imulq 0xd8(%rsp), %r11 + addq %r10, %r11 + leaq (%rax,%rdx), %r13 + movq $0xfffffffffffffffe, %rax + movl $0x2, %edx + movq %rbx, %rdi + movq %rax, %r8 + testq %rsi, %rsi + cmovs %rbp, %r8 + testq $0x1, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + cmovs %rbp, %r8 + movq %rbx, %rdi + testq %rdx, %rcx + cmoveq %rbp, %r8 + cmoveq %rbp, %rdi + sarq $1, %rcx + xorq %r8, %rdi + xorq %r8, %rsi + btq $0x3f, %r8 + cmovbq %rcx, %rbx + movq %rax, %r8 + subq %rax, %rsi + leaq (%rcx,%rdi), %rcx + sarq $1, %rcx + movl $0x100000, %eax + leaq (%rbx,%rax), %r8 + leaq (%rcx,%rax), %r12 + shlq $0x15, %r8 + shlq $0x15, %r12 + sarq $0x2b, %r8 + sarq $0x2b, %r12 + movabsq $0x20000100000, %rax + leaq (%rbx,%rax), %r10 + leaq (%rcx,%rax), %r14 + sarq $0x2b, %r10 + sarq $0x2b, %r14 + movq %r9, %rax + imulq %r8, %rax + movq %r13, %rdx + imulq %r10, %rdx + imulq %r15, %r8 + imulq %r11, %r10 + addq %r8, %r10 + leaq (%rax,%rdx), %r8 + movq %r9, %rax + imulq %r12, %rax + movq %r13, %rdx + imulq %r14, %rdx + imulq %r15, %r12 + imulq %r11, %r14 + addq %r12, %r14 + leaq (%rax,%rdx), %r12 + movq %rsi, 0xb8(%rsp) + decq 0xb0(%rsp) + jne Lp256_scalarmulbase_alt_inv_loop + movq (%rsp), %rax + movq 0x28(%rsp), %rcx + imulq %r8, %rax + imulq %r10, %rcx + addq %rcx, %rax + sarq $0x3f, %rax + movq %r8, %r9 + sarq $0x3f, %r9 + xorq %r9, %r8 + subq %r9, %r8 + xorq %rax, %r9 + movq %r10, %r11 + sarq $0x3f, %r11 + xorq %r11, %r10 + subq %r11, %r10 + xorq %rax, %r11 + movq %r12, %r13 + sarq $0x3f, %r13 + xorq %r13, %r12 + subq %r13, %r12 + xorq %rax, %r13 + movq %r14, %r15 + sarq $0x3f, %r15 + xorq %r15, %r14 + subq %r15, %r14 + xorq %rax, %r15 + movq %r8, %rax + andq %r9, %rax + movq %r10, %r12 + andq %r11, %r12 + addq %rax, %r12 + xorl %r13d, %r13d + movq 0x50(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x78(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movq 0x58(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r13 + adcq %rdx, %r14 + movq 0x80(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq 0x60(%rsp), %rax + xorq %r9, %rax + mulq %r8 + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x88(%rsp), %rax + xorq %r11, %rax + mulq %r10 + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x68(%rsp), %rax + xorq %r9, %rax + andq %r8, %r9 + negq %r9 + mulq %r8 + addq %rax, %r15 + adcq %rdx, %r9 + movq 0x90(%rsp), %rax + xorq %r11, %rax + movq %r11, %rdx + andq %r10, %rdx + subq %rdx, %r9 + mulq %r10 + addq %rax, %r15 + adcq %rdx, %r9 + movq %r12, 0x50(%rsp) + movq %r13, 0x58(%rsp) + movq %r14, 0x60(%rsp) + movq %r15, 0x68(%rsp) + movq %r9, 0x70(%rsp) + movabsq $0xe000000000000000, %r8 + addq 0x50(%rsp), %r8 + movq $0xffffffffffffffff, %r9 + adcq 0x58(%rsp), %r9 + movq $0x1fffffff, %r10 + adcq 0x60(%rsp), %r10 + movabsq $0x2000000000000000, %r11 + adcq 0x68(%rsp), %r11 + movabsq $0x1fffffffe0000000, %r12 + adcq 0x70(%rsp), %r12 + movq %r8, %rbx + shlq $0x20, %rbx + movabsq $0xffffffff00000001, %rax + mulq %r8 + shrq $0x20, %r8 + addq %rbx, %r9 + adcq %r8, %r10 + adcq %rax, %r11 + adcq %rdx, %r12 + sbbq %rax, %rax + movl $0xffffffff, %ebx + andq %rax, %rbx + movabsq $0xffffffff00000001, %rdx + andq %rax, %rdx + subq %rax, %r9 + movq %r9, 0x50(%rsp) + sbbq %rbx, %r10 + movq %r10, 0x58(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x60(%rsp) + sbbq %rdx, %r12 + movq %r12, 0x68(%rsp) + movq 0x50(%rsp), %r8 + movq 0x58(%rsp), %r9 + movq 0x60(%rsp), %r10 + movq 0x68(%rsp), %r11 + movl $0x1, %eax + movl $0xffffffff, %ebx + leaq -0x2(%rax), %rcx + leaq -0x1(%rbx), %rdx + notq %rbx + addq %r8, %rax + adcq %r9, %rbx + adcq %r10, %rcx + adcq %r11, %rdx + cmovaeq %r8, %rax + cmovaeq %r9, %rbx + cmovaeq %r10, %rcx + cmovaeq %r11, %rdx + movq 0xe0(%rsp), %rdi + movq %rax, (%rdi) + movq %rbx, 0x8(%rdi) + movq %rcx, 0x10(%rdi) + movq %rdx, 0x18(%rdi) + CFI_INC_RSP(240) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_alt_local_inv_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_alt_local_montmul_p256) + +Lp256_scalarmulbase_alt_local_montmul_p256: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + movq %rdx, %rcx + movq (%rcx), %rbx + movq (%rsi), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x8(%rsi), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x10(%rsi), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x18(%rsi), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x8(%rcx), %rbx + xorl %r13d, %r13d + movq (%rsi), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x8(%rsi), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x10(%rsi), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x18(%rsi), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x10(%rcx), %rbx + xorl %r15d, %r15d + movq (%rsi), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x8(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x10(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x18(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x18(%rcx), %rbx + xorl %r8d, %r8d + movq (%rsi), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x8(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x10(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x18(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, (%rdi) + movq %r13, 0x8(%rdi) + movq %r14, 0x10(%rdi) + movq %r15, 0x18(%rdi) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbx) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_alt_local_montmul_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_alt_local_montsqr_p256) + +Lp256_scalarmulbase_alt_local_montsqr_p256: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + movq (%rsi), %rax + movq %rax, %rbx + mulq %rax + movq %rax, %r8 + movq %rdx, %r15 + movq 0x8(%rsi), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x18(%rsi), %rax + movq %rax, %r13 + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x10(%rsi), %rax + movq %rax, %rbx + mulq %r13 + movq %rax, %r13 + movq %rdx, %r14 + movq (%rsi), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + movq 0x8(%rsi), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq 0x18(%rsi), %rbx + movq 0x8(%rsi), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + xorl %ecx, %ecx + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %rcx, %rcx + movq 0x8(%rsi), %rax + mulq %rax + addq %r15, %r9 + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + movq 0x10(%rsi), %rax + mulq %rax + negq %r15 + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %r15, %r15 + movq 0x18(%rsi), %rax + mulq %rax + negq %r15 + adcq %rax, %r14 + adcq %rcx, %rdx + movq %rdx, %r15 + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rcx, %rcx + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + xorl %r8d, %r8d + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r8, %r14 + adcq %r8, %r15 + adcq %r8, %r8 + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + xorl %r9d, %r9d + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rbx), %rbx + adcq %r13, %rbx + leaq -0x1(%r9), %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, (%rdi) + movq %r13, 0x8(%rdi) + movq %r14, 0x10(%rdi) + movq %r15, 0x18(%rdi) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbx) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_alt_local_montsqr_p256) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp256_scalarmulbase_alt_local_p256_montjmixadd) + +Lp256_scalarmulbase_alt_local_p256_montjmixadd: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(192) + movq %rdx, %rbp + movq 0x40(%rsi), %rax + movq %rax, %rbx + mulq %rax + movq %rax, %r8 + movq %rdx, %r15 + movq 0x48(%rsi), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x58(%rsi), %rax + movq %rax, %r13 + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x50(%rsi), %rax + movq %rax, %rbx + mulq %r13 + movq %rax, %r13 + movq %rdx, %r14 + movq 0x40(%rsi), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + movq 0x48(%rsi), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq 0x58(%rsi), %rbx + movq 0x48(%rsi), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + xorl %ecx, %ecx + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %rcx, %rcx + movq 0x48(%rsi), %rax + mulq %rax + addq %r15, %r9 + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + movq 0x50(%rsi), %rax + mulq %rax + negq %r15 + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %r15, %r15 + movq 0x58(%rsi), %rax + mulq %rax + negq %r15 + adcq %rax, %r14 + adcq %rcx, %rdx + movq %rdx, %r15 + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rcx, %rcx + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + xorl %r8d, %r8d + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r8, %r14 + adcq %r8, %r15 + adcq %r8, %r8 + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + xorl %r9d, %r9d + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rbx), %rbx + adcq %r13, %rbx + leaq -0x1(%r9), %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, (%rsp) + movq %r13, 0x8(%rsp) + movq %r14, 0x10(%rsp) + movq %r15, 0x18(%rsp) + movq 0x20(%rbp), %rbx + movq 0x40(%rsi), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x48(%rsi), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x50(%rsi), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x58(%rsi), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x28(%rbp), %rbx + xorl %r13d, %r13d + movq 0x40(%rsi), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x48(%rsi), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x50(%rsi), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x58(%rsi), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x30(%rbp), %rbx + xorl %r15d, %r15d + movq 0x40(%rsi), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x48(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x50(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x58(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x38(%rbp), %rbx + xorl %r8d, %r8d + movq 0x40(%rsi), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x48(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x50(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x58(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x20(%rsp) + movq %r13, 0x28(%rsp) + movq %r14, 0x30(%rsp) + movq %r15, 0x38(%rsp) + movq 0x0(%rbp), %rbx + movq (%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x8(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x10(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x18(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x8(%rbp), %rbx + xorl %r13d, %r13d + movq (%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x10(%rbp), %rbx + xorl %r15d, %r15d + movq (%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x18(%rbp), %rbx + xorl %r8d, %r8d + movq (%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x40(%rsp) + movq %r13, 0x48(%rsp) + movq %r14, 0x50(%rsp) + movq %r15, 0x58(%rsp) + movq 0x20(%rsp), %rbx + movq (%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x8(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x10(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x18(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x28(%rsp), %rbx + xorl %r13d, %r13d + movq (%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x30(%rsp), %rbx + xorl %r15d, %r15d + movq (%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x38(%rsp), %rbx + xorl %r8d, %r8d + movq (%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x20(%rsp) + movq %r13, 0x28(%rsp) + movq %r14, 0x30(%rsp) + movq %r15, 0x38(%rsp) + movq 0x40(%rsp), %rax + subq (%rsi), %rax + movq 0x48(%rsp), %rcx + sbbq 0x8(%rsi), %rcx + movq 0x50(%rsp), %r8 + sbbq 0x10(%rsi), %r8 + movq 0x58(%rsp), %r9 + sbbq 0x18(%rsi), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0xa0(%rsp) + adcq %r10, %rcx + movq %rcx, 0xa8(%rsp) + adcq $0x0, %r8 + movq %r8, 0xb0(%rsp) + adcq %rdx, %r9 + movq %r9, 0xb8(%rsp) + movq 0x20(%rsp), %rax + subq 0x20(%rsi), %rax + movq 0x28(%rsp), %rcx + sbbq 0x28(%rsi), %rcx + movq 0x30(%rsp), %r8 + sbbq 0x30(%rsi), %r8 + movq 0x38(%rsp), %r9 + sbbq 0x38(%rsi), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x20(%rsp) + adcq %r10, %rcx + movq %rcx, 0x28(%rsp) + adcq $0x0, %r8 + movq %r8, 0x30(%rsp) + adcq %rdx, %r9 + movq %r9, 0x38(%rsp) + movq 0xa0(%rsp), %rax + movq %rax, %rbx + mulq %rax + movq %rax, %r8 + movq %rdx, %r15 + movq 0xa8(%rsp), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0xb8(%rsp), %rax + movq %rax, %r13 + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0xb0(%rsp), %rax + movq %rax, %rbx + mulq %r13 + movq %rax, %r13 + movq %rdx, %r14 + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + movq 0xa8(%rsp), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq 0xb8(%rsp), %rbx + movq 0xa8(%rsp), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + xorl %ecx, %ecx + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %rcx, %rcx + movq 0xa8(%rsp), %rax + mulq %rax + addq %r15, %r9 + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + movq 0xb0(%rsp), %rax + mulq %rax + negq %r15 + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %r15, %r15 + movq 0xb8(%rsp), %rax + mulq %rax + negq %r15 + adcq %rax, %r14 + adcq %rcx, %rdx + movq %rdx, %r15 + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rcx, %rcx + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + xorl %r8d, %r8d + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r8, %r14 + adcq %r8, %r15 + adcq %r8, %r8 + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + xorl %r9d, %r9d + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rbx), %rbx + adcq %r13, %rbx + leaq -0x1(%r9), %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x60(%rsp) + movq %r13, 0x68(%rsp) + movq %r14, 0x70(%rsp) + movq %r15, 0x78(%rsp) + movq 0x20(%rsp), %rax + movq %rax, %rbx + mulq %rax + movq %rax, %r8 + movq %rdx, %r15 + movq 0x28(%rsp), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x38(%rsp), %rax + movq %rax, %r13 + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x30(%rsp), %rax + movq %rax, %rbx + mulq %r13 + movq %rax, %r13 + movq %rdx, %r14 + movq 0x20(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + movq 0x28(%rsp), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq 0x38(%rsp), %rbx + movq 0x28(%rsp), %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + xorl %ecx, %ecx + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %rcx, %rcx + movq 0x28(%rsp), %rax + mulq %rax + addq %r15, %r9 + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + movq 0x30(%rsp), %rax + mulq %rax + negq %r15 + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %r15, %r15 + movq 0x38(%rsp), %rax + mulq %rax + negq %r15 + adcq %rax, %r14 + adcq %rcx, %rdx + movq %rdx, %r15 + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rcx, %rcx + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + xorl %r8d, %r8d + movq %r9, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r8, %r14 + adcq %r8, %r15 + adcq %r8, %r8 + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + xorl %r9d, %r9d + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + leaq -0x1(%rbx), %rbx + adcq %r13, %rbx + leaq -0x1(%r9), %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, (%rsp) + movq %r13, 0x8(%rsp) + movq %r14, 0x10(%rsp) + movq %r15, 0x18(%rsp) + movq (%rsi), %rbx + movq 0x60(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x68(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x70(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x78(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x8(%rsi), %rbx + xorl %r13d, %r13d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x10(%rsi), %rbx + xorl %r15d, %r15d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x18(%rsi), %rbx + xorl %r8d, %r8d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x80(%rsp) + movq %r13, 0x88(%rsp) + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + movq 0x40(%rsp), %rbx + movq 0x60(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x68(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x70(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x78(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x48(%rsp), %rbx + xorl %r13d, %r13d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x50(%rsp), %rbx + xorl %r15d, %r15d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x58(%rsp), %rbx + xorl %r8d, %r8d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x40(%rsp) + movq %r13, 0x48(%rsp) + movq %r14, 0x50(%rsp) + movq %r15, 0x58(%rsp) + movq (%rsp), %rax + subq 0x80(%rsp), %rax + movq 0x8(%rsp), %rcx + sbbq 0x88(%rsp), %rcx + movq 0x10(%rsp), %r8 + sbbq 0x90(%rsp), %r8 + movq 0x18(%rsp), %r9 + sbbq 0x98(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, (%rsp) + adcq %r10, %rcx + movq %rcx, 0x8(%rsp) + adcq $0x0, %r8 + movq %r8, 0x10(%rsp) + adcq %rdx, %r9 + movq %r9, 0x18(%rsp) + movq 0x40(%rsp), %rax + subq 0x80(%rsp), %rax + movq 0x48(%rsp), %rcx + sbbq 0x88(%rsp), %rcx + movq 0x50(%rsp), %r8 + sbbq 0x90(%rsp), %r8 + movq 0x58(%rsp), %r9 + sbbq 0x98(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x60(%rsp) + adcq %r10, %rcx + movq %rcx, 0x68(%rsp) + adcq $0x0, %r8 + movq %r8, 0x70(%rsp) + adcq %rdx, %r9 + movq %r9, 0x78(%rsp) + movq 0x40(%rsi), %rbx + movq 0xa0(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0xa8(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0xb0(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0xb8(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x48(%rsi), %rbx + xorl %r13d, %r13d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x50(%rsi), %rbx + xorl %r15d, %r15d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x58(%rsi), %rbx + xorl %r8d, %r8d + movq 0xa0(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0xa0(%rsp) + movq %r13, 0xa8(%rsp) + movq %r14, 0xb0(%rsp) + movq %r15, 0xb8(%rsp) + movq (%rsp), %rax + subq 0x40(%rsp), %rax + movq 0x8(%rsp), %rcx + sbbq 0x48(%rsp), %rcx + movq 0x10(%rsp), %r8 + sbbq 0x50(%rsp), %r8 + movq 0x18(%rsp), %r9 + sbbq 0x58(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, (%rsp) + adcq %r10, %rcx + movq %rcx, 0x8(%rsp) + adcq $0x0, %r8 + movq %r8, 0x10(%rsp) + adcq %rdx, %r9 + movq %r9, 0x18(%rsp) + movq 0x80(%rsp), %rax + subq (%rsp), %rax + movq 0x88(%rsp), %rcx + sbbq 0x8(%rsp), %rcx + movq 0x90(%rsp), %r8 + sbbq 0x10(%rsp), %r8 + movq 0x98(%rsp), %r9 + sbbq 0x18(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x80(%rsp) + adcq %r10, %rcx + movq %rcx, 0x88(%rsp) + adcq $0x0, %r8 + movq %r8, 0x90(%rsp) + adcq %rdx, %r9 + movq %r9, 0x98(%rsp) + movq 0x20(%rsi), %rbx + movq 0x60(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x68(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x70(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x78(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x28(%rsi), %rbx + xorl %r13d, %r13d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x30(%rsi), %rbx + xorl %r15d, %r15d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x38(%rsi), %rbx + xorl %r8d, %r8d + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x68(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x70(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x78(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x60(%rsp) + movq %r13, 0x68(%rsp) + movq %r14, 0x70(%rsp) + movq %r15, 0x78(%rsp) + movq 0x80(%rsp), %rbx + movq 0x20(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x28(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x30(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x38(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x88(%rsp), %rbx + xorl %r13d, %r13d + movq 0x20(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r14, %r14 + movq 0x28(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r14, %r14 + movq 0x30(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r14, %r14 + movq 0x38(%rsp), %rax + mulq %rbx + subq %r14, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + xorl %r14d, %r14d + movabsq $0x100000000, %rbx + movq %r8, %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r15, %r15 + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r8, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r15, %r15 + movq %r9, %rax + mulq %rbx + subq %r15, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x90(%rsp), %rbx + xorl %r15d, %r15d + movq 0x20(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x28(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x30(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x38(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x98(%rsp), %rbx + xorl %r8d, %r8d + movq 0x20(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x28(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x30(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x38(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + xorl %r9d, %r9d + movabsq $0x100000000, %rbx + movq %r10, %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rcx, %rcx + notq %rbx + leaq 0x2(%rbx), %rbx + movq %r10, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rcx, %rcx + movq %r11, %rax + mulq %rbx + subq %rcx, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r9, %r8 + movl $0x1, %ecx + addq %r12, %rcx + decq %rbx + adcq %r13, %rbx + decq %r9 + movq %r9, %rax + adcq %r14, %r9 + movl $0xfffffffe, %r11d + adcq %r15, %r11 + adcq %r8, %rax + cmovbq %rcx, %r12 + cmovbq %rbx, %r13 + cmovbq %r9, %r14 + cmovbq %r11, %r15 + movq %r12, 0x80(%rsp) + movq %r13, 0x88(%rsp) + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + movq 0x80(%rsp), %rax + subq 0x60(%rsp), %rax + movq 0x88(%rsp), %rcx + sbbq 0x68(%rsp), %rcx + movq 0x90(%rsp), %r8 + sbbq 0x70(%rsp), %r8 + movq 0x98(%rsp), %r9 + sbbq 0x78(%rsp), %r9 + movl $0xffffffff, %r10d + sbbq %r11, %r11 + xorq %rdx, %rdx + andq %r11, %r10 + subq %r10, %rdx + addq %r11, %rax + movq %rax, 0x80(%rsp) + adcq %r10, %rcx + movq %rcx, 0x88(%rsp) + adcq $0x0, %r8 + movq %r8, 0x90(%rsp) + adcq %rdx, %r9 + movq %r9, 0x98(%rsp) + movq 0x40(%rsi), %rax + movq 0x48(%rsi), %rdx + orq 0x50(%rsi), %rax + orq 0x58(%rsi), %rdx + orq %rdx, %rax + movq (%rsp), %r8 + movq 0x0(%rbp), %rax + cmoveq %rax, %r8 + movq 0x8(%rsp), %r9 + movq 0x8(%rbp), %rax + cmoveq %rax, %r9 + movq 0x10(%rsp), %r10 + movq 0x10(%rbp), %rax + cmoveq %rax, %r10 + movq 0x18(%rsp), %r11 + movq 0x18(%rbp), %rax + cmoveq %rax, %r11 + movq 0x80(%rsp), %r12 + movq 0x20(%rbp), %rax + cmoveq %rax, %r12 + movq 0x88(%rsp), %r13 + movq 0x28(%rbp), %rax + cmoveq %rax, %r13 + movq 0x90(%rsp), %r14 + movq 0x30(%rbp), %rax + cmoveq %rax, %r14 + movq 0x98(%rsp), %r15 + movq 0x38(%rbp), %rax + cmoveq %rax, %r15 + movq %r8, (%rdi) + movq %r9, 0x8(%rdi) + movq %r10, 0x10(%rdi) + movq %r11, 0x18(%rdi) + movq %r12, 0x20(%rdi) + movq %r13, 0x28(%rdi) + movq %r14, 0x30(%rdi) + movq %r15, 0x38(%rdi) + movq 0xa0(%rsp), %r8 + movq 0xa8(%rsp), %r9 + movq 0xb0(%rsp), %r10 + movq 0xb8(%rsp), %r11 + movl $0x1, %eax + cmoveq %rax, %r8 + movabsq $0xffffffff00000000, %rax + cmoveq %rax, %r9 + movq $0xffffffffffffffff, %rax + cmoveq %rax, %r10 + movl $0xfffffffe, %eax + cmoveq %rax, %r11 + movq %r8, 0x40(%rdi) + movq %r9, 0x48(%rdi) + movq %r10, 0x50(%rdi) + movq %r11, 0x58(%rdi) + CFI_INC_RSP(192) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp256_scalarmulbase_alt_local_p256_montjmixadd) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/x86_att/p384_montjscalarmul.S b/cbits/s2n/x86_att/p384_montjscalarmul.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/p384_montjscalarmul.S @@ -0,0 +1,7418 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Montgomery-Jacobian form scalar multiplication for P-384 +// Input scalar[6], point[18]; output res[18] +// +// extern void p384_montjscalarmul +// (uint64_t res[static 18], +// const uint64_t scalar[static 6], +// const uint64_t point[static 18]); +// +// This function is a variant of its affine point version p384_scalarmul. +// Here, input and output points are assumed to be in Jacobian form with +// their coordinates in the Montgomery domain. Thus, if priming indicates +// Montgomery form, x' = (2^384 * x) mod p_384 etc., each point argument +// is a triple (x',y',z') representing the affine point (x/z^2,y/z^3) when +// z' is nonzero or the point at infinity (group identity) if z' = 0. +// +// Given scalar = n and point = P, assumed to be on the NIST elliptic +// curve P-384, returns a representation of n * P. If the result is the +// point at infinity (either because the input point was or because the +// scalar was a multiple of p_384) then the output is guaranteed to +// represent the point at infinity, i.e. to have its z coordinate zero. +// +// Standard x86-64 ABI: RDI = res, RSI = scalar, RDX = point +// Microsoft x64 ABI: RCX = res, RDX = scalar, R8 = point +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p384_montjscalarmul) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p384_montjscalarmul) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p384_montjscalarmul) + + + .text + .balign 32 + +// Size of individual field elements + +#define NUMSIZE 48 +#define JACSIZE (3*NUMSIZE) + +// Intermediate variables on the stack. +// The table is 16 entries, each of size JACSIZE = 3 * NUMSIZE +// Uppercase syntactic variants make x86_att version simpler to generate. + +#define SCALARB (0*NUMSIZE) +#define scalarb (0*NUMSIZE)(%rsp) +#define ACC (1*NUMSIZE) +#define acc (1*NUMSIZE)(%rsp) +#define TABENT (4*NUMSIZE) +#define tabent (4*NUMSIZE)(%rsp) + +#define TAB (7*NUMSIZE) +#define tab (7*NUMSIZE)(%rsp) + +#define res (55*NUMSIZE)(%rsp) + +#define NSPACE 56*NUMSIZE + +// Avoid using .rep for the sake of the BoringSSL/AWS-LC delocator, +// which doesn't accept repetitions, assembler macros etc. + +#define selectblock_xz(I) \ + cmpq $I, %rdi ; \ + cmovzq TAB+JACSIZE*(I-1)(%rsp), %rax ; \ + cmovzq TAB+JACSIZE*(I-1)+8(%rsp), %rbx ; \ + cmovzq TAB+JACSIZE*(I-1)+16(%rsp), %rcx ; \ + cmovzq TAB+JACSIZE*(I-1)+24(%rsp), %rdx ; \ + cmovzq TAB+JACSIZE*(I-1)+32(%rsp), %r8 ; \ + cmovzq TAB+JACSIZE*(I-1)+40(%rsp), %r9 ; \ + cmovzq TAB+JACSIZE*(I-1)+96(%rsp), %r10 ; \ + cmovzq TAB+JACSIZE*(I-1)+104(%rsp), %r11 ; \ + cmovzq TAB+JACSIZE*(I-1)+112(%rsp), %r12 ; \ + cmovzq TAB+JACSIZE*(I-1)+120(%rsp), %r13 ; \ + cmovzq TAB+JACSIZE*(I-1)+128(%rsp), %r14 ; \ + cmovzq TAB+JACSIZE*(I-1)+136(%rsp), %r15 + +#define selectblock_y(I) \ + cmpq $I, %rdi ; \ + cmovzq TAB+JACSIZE*(I-1)+48(%rsp), %rax ; \ + cmovzq TAB+JACSIZE*(I-1)+56(%rsp), %rbx ; \ + cmovzq TAB+JACSIZE*(I-1)+64(%rsp), %rcx ; \ + cmovzq TAB+JACSIZE*(I-1)+72(%rsp), %rdx ; \ + cmovzq TAB+JACSIZE*(I-1)+80(%rsp), %r8 ; \ + cmovzq TAB+JACSIZE*(I-1)+88(%rsp), %r9 + +S2N_BN_SYMBOL(p384_montjscalarmul): + CFI_START + _CET_ENDBR + +// The Windows version literally calls the standard ABI version. +// This simplifies the proofs since subroutine offsets are fixed. + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx + CFI_CALL(Lp384_montjscalarmul_standard) + CFI_POP(%rsi) + CFI_POP(%rdi) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p384_montjscalarmul) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp384_montjscalarmul_standard) + +Lp384_montjscalarmul_standard: + CFI_START +#endif + +// Real start of the standard ABI code. + + CFI_PUSH(%r15) + CFI_PUSH(%r14) + CFI_PUSH(%r13) + CFI_PUSH(%r12) + CFI_PUSH(%rbp) + CFI_PUSH(%rbx) + + CFI_DEC_RSP(NSPACE) + +// Preserve the "res" input argument; others get processed early. + + movq %rdi, res + +// Reduce the input scalar mod n_384, i.e. conditionally subtract n_384. +// Store it to "scalarb". + + movq (%rsi), %r8 + movq $0xecec196accc52973, %rax + subq %rax, %r8 + movq 8(%rsi), %r9 + movq $0x581a0db248b0a77a, %rax + sbbq %rax, %r9 + movq 16(%rsi), %r10 + movq $0xc7634d81f4372ddf, %rax + sbbq %rax, %r10 + movq 24(%rsi), %r11 + movq $0xffffffffffffffff, %rax + sbbq %rax, %r11 + movq 32(%rsi), %r12 + sbbq %rax, %r12 + movq 40(%rsi), %r13 + sbbq %rax, %r13 + + cmovcq (%rsi), %r8 + cmovcq 8(%rsi), %r9 + cmovcq 16(%rsi), %r10 + cmovcq 24(%rsi), %r11 + cmovcq 32(%rsi), %r12 + cmovcq 40(%rsi), %r13 + + movq %r8, SCALARB(%rsp) + movq %r9, SCALARB+8(%rsp) + movq %r10, SCALARB+16(%rsp) + movq %r11, SCALARB+24(%rsp) + movq %r12, SCALARB+32(%rsp) + movq %r13, SCALARB+40(%rsp) + +// Set the tab[0] table entry to the input point = 1 * P + + movq (%rdx), %rax + movq %rax, TAB(%rsp) + movq 8(%rdx), %rax + movq %rax, TAB+8(%rsp) + movq 16(%rdx), %rax + movq %rax, TAB+16(%rsp) + movq 24(%rdx), %rax + movq %rax, TAB+24(%rsp) + movq 32(%rdx), %rax + movq %rax, TAB+32(%rsp) + movq 40(%rdx), %rax + movq %rax, TAB+40(%rsp) + + movq 48(%rdx), %rax + movq %rax, TAB+48(%rsp) + movq 56(%rdx), %rax + movq %rax, TAB+56(%rsp) + movq 64(%rdx), %rax + movq %rax, TAB+64(%rsp) + movq 72(%rdx), %rax + movq %rax, TAB+72(%rsp) + movq 80(%rdx), %rax + movq %rax, TAB+80(%rsp) + movq 88(%rdx), %rax + movq %rax, TAB+88(%rsp) + + movq 96(%rdx), %rax + movq %rax, TAB+96(%rsp) + movq 104(%rdx), %rax + movq %rax, TAB+104(%rsp) + movq 112(%rdx), %rax + movq %rax, TAB+112(%rsp) + movq 120(%rdx), %rax + movq %rax, TAB+120(%rsp) + movq 128(%rdx), %rax + movq %rax, TAB+128(%rsp) + movq 136(%rdx), %rax + movq %rax, TAB+136(%rsp) + +// Compute and record tab[1] = 2 * p, ..., tab[15] = 16 * P + + leaq TAB+JACSIZE*1(%rsp), %rdi + leaq TAB(%rsp), %rsi + CFI_CALL(Lp384_montjscalarmul_p384_montjdouble) + + leaq TAB+JACSIZE*2(%rsp), %rdi + leaq TAB+JACSIZE*1(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp384_montjscalarmul_p384_montjadd) + + leaq TAB+JACSIZE*3(%rsp), %rdi + leaq TAB+JACSIZE*1(%rsp), %rsi + CFI_CALL(Lp384_montjscalarmul_p384_montjdouble) + + leaq TAB+JACSIZE*4(%rsp), %rdi + leaq TAB+JACSIZE*3(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp384_montjscalarmul_p384_montjadd) + + leaq TAB+JACSIZE*5(%rsp), %rdi + leaq TAB+JACSIZE*2(%rsp), %rsi + CFI_CALL(Lp384_montjscalarmul_p384_montjdouble) + + leaq TAB+JACSIZE*6(%rsp), %rdi + leaq TAB+JACSIZE*5(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp384_montjscalarmul_p384_montjadd) + + leaq TAB+JACSIZE*7(%rsp), %rdi + leaq TAB+JACSIZE*3(%rsp), %rsi + CFI_CALL(Lp384_montjscalarmul_p384_montjdouble) + + leaq TAB+JACSIZE*8(%rsp), %rdi + leaq TAB+JACSIZE*7(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp384_montjscalarmul_p384_montjadd) + + leaq TAB+JACSIZE*9(%rsp), %rdi + leaq TAB+JACSIZE*4(%rsp), %rsi + CFI_CALL(Lp384_montjscalarmul_p384_montjdouble) + + leaq TAB+JACSIZE*10(%rsp), %rdi + leaq TAB+JACSIZE*9(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp384_montjscalarmul_p384_montjadd) + + leaq TAB+JACSIZE*11(%rsp), %rdi + leaq TAB+JACSIZE*5(%rsp), %rsi + CFI_CALL(Lp384_montjscalarmul_p384_montjdouble) + + leaq TAB+JACSIZE*12(%rsp), %rdi + leaq TAB+JACSIZE*11(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp384_montjscalarmul_p384_montjadd) + + leaq TAB+JACSIZE*13(%rsp), %rdi + leaq TAB+JACSIZE*6(%rsp), %rsi + CFI_CALL(Lp384_montjscalarmul_p384_montjdouble) + + leaq TAB+JACSIZE*14(%rsp), %rdi + leaq TAB+JACSIZE*13(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp384_montjscalarmul_p384_montjadd) + + leaq TAB+JACSIZE*15(%rsp), %rdi + leaq TAB+JACSIZE*7(%rsp), %rsi + CFI_CALL(Lp384_montjscalarmul_p384_montjdouble) + +// Add the recoding constant sum_i(16 * 32^i) to the scalar to allow signed +// digits. The digits of the constant, in lowest-to-highest order, are as +// follows; they are generated dynamically to use fewer large constant loads. +// +// 0x0842108421084210 +// 0x1084210842108421 +// 0x2108421084210842 +// 0x4210842108421084 +// 0x8421084210842108 +// 0x0842108421084210 + + movq $0x1084210842108421, %rax + movq %rax, %rcx + shrq $1, %rax + movq SCALARB(%rsp), %r8 + addq %rax, %r8 + movq SCALARB+8(%rsp), %r9 + adcq %rcx, %r9 + leaq (%rcx,%rcx), %rcx + movq SCALARB+16(%rsp), %r10 + adcq %rcx, %r10 + leaq (%rcx,%rcx), %rcx + movq SCALARB+24(%rsp), %r11 + adcq %rcx, %r11 + leaq (%rcx,%rcx), %rcx + movq SCALARB+32(%rsp), %r12 + adcq %rcx, %r12 + movq SCALARB+40(%rsp), %r13 + adcq %rax, %r13 + sbbq %rdi, %rdi + negq %rdi + +// Record the top bitfield in %rdi then shift the whole scalar left 4 bits +// to align the top of the next bitfield with the MSB (bits 379..383). + + shldq $4, %r13, %rdi + shldq $4, %r12, %r13 + shldq $4, %r11, %r12 + shldq $4, %r10, %r11 + shldq $4, %r9, %r10 + shldq $4, %r8, %r9 + shlq $4, %r8 + + movq %r8, SCALARB(%rsp) + movq %r9, SCALARB+8(%rsp) + movq %r10, SCALARB+16(%rsp) + movq %r11, SCALARB+24(%rsp) + movq %r12, SCALARB+32(%rsp) + movq %r13, SCALARB+40(%rsp) + +// Initialize the accumulator to the corresponding entry using constant-time +// lookup in the table. This top digit, uniquely, is not recoded so there is +// no sign adjustment to make. On the x86 integer side we don't have enough +// registers to hold all the fields; this could be better done with SIMD +// registers anyway. So we do x and z coordinates in one sweep, y in another +// (this is a rehearsal for below where we might need to negate the y). + + xorl %eax, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + xorl %r8d, %r8d + xorl %r9d, %r9d + xorl %r10d, %r10d + xorl %r11d, %r11d + xorl %r12d, %r12d + xorl %r13d, %r13d + xorl %r14d, %r14d + xorl %r15d, %r15d + + selectblock_xz(1) + selectblock_xz(2) + selectblock_xz(3) + selectblock_xz(4) + selectblock_xz(5) + selectblock_xz(6) + selectblock_xz(7) + selectblock_xz(8) + selectblock_xz(9) + selectblock_xz(10) + selectblock_xz(11) + selectblock_xz(12) + selectblock_xz(13) + selectblock_xz(14) + selectblock_xz(15) + selectblock_xz(16) + + movq %rax, ACC(%rsp) + movq %rbx, ACC+8(%rsp) + movq %rcx, ACC+16(%rsp) + movq %rdx, ACC+24(%rsp) + movq %r8, ACC+32(%rsp) + movq %r9, ACC+40(%rsp) + movq %r10, ACC+96(%rsp) + movq %r11, ACC+104(%rsp) + movq %r12, ACC+112(%rsp) + movq %r13, ACC+120(%rsp) + movq %r14, ACC+128(%rsp) + movq %r15, ACC+136(%rsp) + + xorl %eax, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + xorl %r8d, %r8d + xorl %r9d, %r9d + + selectblock_y(1) + selectblock_y(2) + selectblock_y(3) + selectblock_y(4) + selectblock_y(5) + selectblock_y(6) + selectblock_y(7) + selectblock_y(8) + selectblock_y(9) + selectblock_y(10) + selectblock_y(11) + selectblock_y(12) + selectblock_y(13) + selectblock_y(14) + selectblock_y(15) + selectblock_y(16) + + movq %rax, ACC+48(%rsp) + movq %rbx, ACC+56(%rsp) + movq %rcx, ACC+64(%rsp) + movq %rdx, ACC+72(%rsp) + movq %r8, ACC+80(%rsp) + movq %r9, ACC+88(%rsp) + +// Main loop over size-5 bitfields: double 5 times then add signed digit +// At each stage we shift the scalar left by 5 bits so we can simply pick +// the top 5 bits as the bitfield, saving some fiddle over indexing. + + movl $380, %ebp + +Lp384_montjscalarmul_mainloop: + subq $5, %rbp + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp384_montjscalarmul_p384_montjdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp384_montjscalarmul_p384_montjdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp384_montjscalarmul_p384_montjdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp384_montjscalarmul_p384_montjdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp384_montjscalarmul_p384_montjdouble) + +// Choose the bitfield and adjust it to sign and magnitude + + movq SCALARB(%rsp), %r8 + movq SCALARB+8(%rsp), %r9 + movq SCALARB+16(%rsp), %r10 + movq SCALARB+24(%rsp), %r11 + movq SCALARB+32(%rsp), %r12 + movq SCALARB+40(%rsp), %r13 + + movq %r13, %rdi + shrq $59, %rdi + shldq $5, %r12, %r13 + shldq $5, %r11, %r12 + shldq $5, %r10, %r11 + shldq $5, %r9, %r10 + shldq $5, %r8, %r9 + shlq $5, %r8 + + movq %r8, SCALARB(%rsp) + movq %r9, SCALARB+8(%rsp) + movq %r10, SCALARB+16(%rsp) + movq %r11, SCALARB+24(%rsp) + movq %r12, SCALARB+32(%rsp) + movq %r13, SCALARB+40(%rsp) + + subq $16, %rdi + sbbq %rsi, %rsi // %rsi = sign of digit (-1 = negative) + xorq %rsi, %rdi + subq %rsi, %rdi // %rdi = absolute value of digit + +// Conditionally select the table entry tab[i-1] = i * P in constant time +// Again, this is done in two sweeps, first doing x and z then y. + + xorl %eax, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + xorl %r8d, %r8d + xorl %r9d, %r9d + xorl %r10d, %r10d + xorl %r11d, %r11d + xorl %r12d, %r12d + xorl %r13d, %r13d + xorl %r14d, %r14d + xorl %r15d, %r15d + + selectblock_xz(1) + selectblock_xz(2) + selectblock_xz(3) + selectblock_xz(4) + selectblock_xz(5) + selectblock_xz(6) + selectblock_xz(7) + selectblock_xz(8) + selectblock_xz(9) + selectblock_xz(10) + selectblock_xz(11) + selectblock_xz(12) + selectblock_xz(13) + selectblock_xz(14) + selectblock_xz(15) + selectblock_xz(16) + + movq %rax, TABENT(%rsp) + movq %rbx, TABENT+8(%rsp) + movq %rcx, TABENT+16(%rsp) + movq %rdx, TABENT+24(%rsp) + movq %r8, TABENT+32(%rsp) + movq %r9, TABENT+40(%rsp) + movq %r10, TABENT+96(%rsp) + movq %r11, TABENT+104(%rsp) + movq %r12, TABENT+112(%rsp) + movq %r13, TABENT+120(%rsp) + movq %r14, TABENT+128(%rsp) + movq %r15, TABENT+136(%rsp) + + xorl %eax, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + xorl %r8d, %r8d + xorl %r9d, %r9d + + selectblock_y(1) + selectblock_y(2) + selectblock_y(3) + selectblock_y(4) + selectblock_y(5) + selectblock_y(6) + selectblock_y(7) + selectblock_y(8) + selectblock_y(9) + selectblock_y(10) + selectblock_y(11) + selectblock_y(12) + selectblock_y(13) + selectblock_y(14) + selectblock_y(15) + selectblock_y(16) + +// Store it to "tabent" with the y coordinate optionally negated. +// This is done carefully to give coordinates < p_384 even in +// the degenerate case y = 0 (when z = 0 for points on the curve). +// The digits of the prime p_384 are generated dynamically from +// the zeroth via not/lea to reduce the number of constant loads. + + movq %rax, %r10 + orq %rbx, %r10 + movq %rcx, %r11 + orq %rdx, %r11 + movq %r8, %r12 + orq %r9, %r12 + orq %r11, %r10 + orq %r12, %r10 + cmovzq %r10, %rsi + + movl $0xffffffff, %r10d + movq %r10, %r11 + notq %r11 + leaq (%r10,%r11), %r13 + subq %rax, %r10 + leaq -1(%r13), %r12 + sbbq %rbx, %r11 + movq %r13, %r14 + sbbq %rcx, %r12 + sbbq %rdx, %r13 + movq %r14, %r15 + sbbq %r8, %r14 + sbbq %r9, %r15 + + testq %rsi, %rsi + cmovnzq %r10, %rax + cmovnzq %r11, %rbx + cmovnzq %r12, %rcx + cmovnzq %r13, %rdx + cmovnzq %r14, %r8 + cmovnzq %r15, %r9 + + movq %rax, TABENT+48(%rsp) + movq %rbx, TABENT+56(%rsp) + movq %rcx, TABENT+64(%rsp) + movq %rdx, TABENT+72(%rsp) + movq %r8, TABENT+80(%rsp) + movq %r9, TABENT+88(%rsp) + +// Add to the accumulator + + leaq TABENT(%rsp), %rdx + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp384_montjscalarmul_p384_montjadd) + + testq %rbp, %rbp + jne Lp384_montjscalarmul_mainloop + +// That's the end of the main loop, and we just need to copy the +// result in "acc" to the output. + + movq res, %rdi + movq ACC(%rsp), %rax + movq %rax, (%rdi) + movq ACC+8(%rsp), %rax + movq %rax, 8(%rdi) + movq ACC+16(%rsp), %rax + movq %rax, 16(%rdi) + movq ACC+24(%rsp), %rax + movq %rax, 24(%rdi) + movq ACC+32(%rsp), %rax + movq %rax, 32(%rdi) + movq ACC+40(%rsp), %rax + movq %rax, 40(%rdi) + movq ACC+48(%rsp), %rax + movq %rax, 48(%rdi) + movq ACC+56(%rsp), %rax + movq %rax, 56(%rdi) + movq ACC+64(%rsp), %rax + movq %rax, 64(%rdi) + movq ACC+72(%rsp), %rax + movq %rax, 72(%rdi) + movq ACC+80(%rsp), %rax + movq %rax, 80(%rdi) + movq ACC+88(%rsp), %rax + movq %rax, 88(%rdi) + movq ACC+96(%rsp), %rax + movq %rax, 96(%rdi) + movq ACC+104(%rsp), %rax + movq %rax, 104(%rdi) + movq ACC+112(%rsp), %rax + movq %rax, 112(%rdi) + movq ACC+120(%rsp), %rax + movq %rax, 120(%rdi) + movq ACC+128(%rsp), %rax + movq %rax, 128(%rdi) + movq ACC+136(%rsp), %rax + movq %rax, 136(%rdi) + +// Restore stack and registers and return + + CFI_INC_RSP(NSPACE) + CFI_POP(%rbx) + CFI_POP(%rbp) + CFI_POP(%r12) + CFI_POP(%r13) + CFI_POP(%r14) + CFI_POP(%r15) + CFI_RET + +#if WINDOWS_ABI +S2N_BN_SIZE_DIRECTIVE(Lp384_montjscalarmul_standard) +#else +S2N_BN_SIZE_DIRECTIVE(p384_montjscalarmul) +#endif + +// Local copies of subroutines, complete clones at the moment + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp384_montjscalarmul_p384_montjadd) + +Lp384_montjscalarmul_p384_montjadd: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(352) + movq %rsi, 0x150(%rsp) + movq %rdx, 0x158(%rsp) + movq 0x60(%rsi), %rdx + mulxq 0x68(%rsi), %r9, %r10 + mulxq 0x78(%rsi), %r11, %r12 + mulxq 0x88(%rsi), %r13, %r14 + movq 0x78(%rsi), %rdx + mulxq 0x80(%rsi), %r15, %rcx + xorl %ebp, %ebp + movq 0x70(%rsi), %rdx + mulxq 0x60(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x68(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x68(%rsi), %rdx + mulxq 0x78(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x80(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x88(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rbp, %r15 + adoxq %rbp, %rcx + adcq %rbp, %rcx + xorl %ebp, %ebp + movq 0x80(%rsi), %rdx + mulxq 0x60(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq 0x70(%rsi), %rdx + mulxq 0x78(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x80(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x88(%rsi), %rax, %rdx + adcxq %rax, %r15 + adoxq %rdx, %rcx + movq 0x88(%rsi), %rdx + mulxq 0x80(%rsi), %rbx, %rbp + mulxq 0x78(%rsi), %rax, %rdx + adcxq %rax, %rcx + adoxq %rdx, %rbx + movl $0x0, %eax + adcxq %rax, %rbx + adoxq %rax, %rbp + adcq %rax, %rbp + xorq %rax, %rax + movq 0x60(%rsi), %rdx + mulxq 0x60(%rsi), %r8, %rax + adcxq %r9, %r9 + adoxq %rax, %r9 + movq 0x68(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x70(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x78(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %r15, %r15 + adoxq %rdx, %r15 + movq 0x80(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %rcx, %rcx + adoxq %rax, %rcx + adcxq %rbx, %rbx + adoxq %rdx, %rbx + movq 0x88(%rsi), %rdx + mulxq %rdx, %rax, %rsi + adcxq %rbp, %rbp + adoxq %rax, %rbp + movl $0x0, %eax + adcxq %rax, %rsi + adoxq %rax, %rsi + movq %rbx, (%rsp) + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r8, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r8 + addq %rbx, %rax + adcq %rdx, %r8 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r9 + sbbq %r8, %r10 + sbbq %rbx, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + movq %rdx, %r8 + sbbq $0x0, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r9, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r9 + addq %rbx, %rax + adcq %rdx, %r9 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r10 + sbbq %r9, %r11 + sbbq %rbx, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r8 + movq %rdx, %r9 + sbbq $0x0, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r10, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r10 + addq %rbx, %rax + adcq %rdx, %r10 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r11 + sbbq %r10, %r12 + sbbq %rbx, %r13 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + movq %rdx, %r10 + sbbq $0x0, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r11, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r11 + addq %rbx, %rax + adcq %rdx, %r11 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r12 + sbbq %r11, %r13 + sbbq %rbx, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + movq %rdx, %r11 + sbbq $0x0, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r12, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r12 + addq %rbx, %rax + adcq %rdx, %r12 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r13 + sbbq %r12, %r8 + sbbq %rbx, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %r11 + movq %rdx, %r12 + sbbq $0x0, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r13, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r13 + addq %rbx, %rax + adcq %rdx, %r13 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r8 + sbbq %r13, %r9 + sbbq %rbx, %r10 + sbbq $0x0, %r11 + sbbq $0x0, %r12 + movq %rdx, %r13 + sbbq $0x0, %r13 + movq (%rsp), %rbx + addq %r8, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r11, %rbx + adcq %r12, %rbp + adcq %r13, %rsi + movl $0x0, %r8d + movabsq $0xffffffff00000001, %rax + movl $0xffffffff, %r9d + movl $0x1, %r10d + cmovaeq %r8, %rax + cmovaeq %r8, %r9 + cmovaeq %r8, %r10 + addq %rax, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r8, %rbx + adcq %r8, %rbp + adcq %r8, %rsi + movq %r14, (%rsp) + movq %r15, 0x8(%rsp) + movq %rcx, 0x10(%rsp) + movq %rbx, 0x18(%rsp) + movq %rbp, 0x20(%rsp) + movq %rsi, 0x28(%rsp) + movq 0x158(%rsp), %rsi + movq 0x60(%rsi), %rdx + mulxq 0x68(%rsi), %r9, %r10 + mulxq 0x78(%rsi), %r11, %r12 + mulxq 0x88(%rsi), %r13, %r14 + movq 0x78(%rsi), %rdx + mulxq 0x80(%rsi), %r15, %rcx + xorl %ebp, %ebp + movq 0x70(%rsi), %rdx + mulxq 0x60(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x68(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x68(%rsi), %rdx + mulxq 0x78(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x80(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x88(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rbp, %r15 + adoxq %rbp, %rcx + adcq %rbp, %rcx + xorl %ebp, %ebp + movq 0x80(%rsi), %rdx + mulxq 0x60(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq 0x70(%rsi), %rdx + mulxq 0x78(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x80(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x88(%rsi), %rax, %rdx + adcxq %rax, %r15 + adoxq %rdx, %rcx + movq 0x88(%rsi), %rdx + mulxq 0x80(%rsi), %rbx, %rbp + mulxq 0x78(%rsi), %rax, %rdx + adcxq %rax, %rcx + adoxq %rdx, %rbx + movl $0x0, %eax + adcxq %rax, %rbx + adoxq %rax, %rbp + adcq %rax, %rbp + xorq %rax, %rax + movq 0x60(%rsi), %rdx + mulxq 0x60(%rsi), %r8, %rax + adcxq %r9, %r9 + adoxq %rax, %r9 + movq 0x68(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x70(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x78(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %r15, %r15 + adoxq %rdx, %r15 + movq 0x80(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %rcx, %rcx + adoxq %rax, %rcx + adcxq %rbx, %rbx + adoxq %rdx, %rbx + movq 0x88(%rsi), %rdx + mulxq %rdx, %rax, %rsi + adcxq %rbp, %rbp + adoxq %rax, %rbp + movl $0x0, %eax + adcxq %rax, %rsi + adoxq %rax, %rsi + movq %rbx, 0xf0(%rsp) + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r8, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r8 + addq %rbx, %rax + adcq %rdx, %r8 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r9 + sbbq %r8, %r10 + sbbq %rbx, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + movq %rdx, %r8 + sbbq $0x0, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r9, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r9 + addq %rbx, %rax + adcq %rdx, %r9 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r10 + sbbq %r9, %r11 + sbbq %rbx, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r8 + movq %rdx, %r9 + sbbq $0x0, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r10, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r10 + addq %rbx, %rax + adcq %rdx, %r10 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r11 + sbbq %r10, %r12 + sbbq %rbx, %r13 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + movq %rdx, %r10 + sbbq $0x0, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r11, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r11 + addq %rbx, %rax + adcq %rdx, %r11 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r12 + sbbq %r11, %r13 + sbbq %rbx, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + movq %rdx, %r11 + sbbq $0x0, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r12, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r12 + addq %rbx, %rax + adcq %rdx, %r12 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r13 + sbbq %r12, %r8 + sbbq %rbx, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %r11 + movq %rdx, %r12 + sbbq $0x0, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r13, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r13 + addq %rbx, %rax + adcq %rdx, %r13 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r8 + sbbq %r13, %r9 + sbbq %rbx, %r10 + sbbq $0x0, %r11 + sbbq $0x0, %r12 + movq %rdx, %r13 + sbbq $0x0, %r13 + movq 0xf0(%rsp), %rbx + addq %r8, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r11, %rbx + adcq %r12, %rbp + adcq %r13, %rsi + movl $0x0, %r8d + movabsq $0xffffffff00000001, %rax + movl $0xffffffff, %r9d + movl $0x1, %r10d + cmovaeq %r8, %rax + cmovaeq %r8, %r9 + cmovaeq %r8, %r10 + addq %rax, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r8, %rbx + adcq %r8, %rbp + adcq %r8, %rsi + movq %r14, 0xf0(%rsp) + movq %r15, 0xf8(%rsp) + movq %rcx, 0x100(%rsp) + movq %rbx, 0x108(%rsp) + movq %rbp, 0x110(%rsp) + movq %rsi, 0x118(%rsp) + movq 0x150(%rsp), %rsi + movq 0x158(%rsp), %rcx + movq 0x30(%rsi), %rdx + xorl %r15d, %r15d + mulxq 0x60(%rcx), %r8, %r9 + mulxq 0x68(%rcx), %rbx, %r10 + addq %rbx, %r9 + mulxq 0x70(%rcx), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x78(%rcx), %rbx, %r12 + adcq %rbx, %r11 + mulxq 0x80(%rcx), %rbx, %r13 + adcq %rbx, %r12 + mulxq 0x88(%rcx), %rbx, %r14 + adcq %rbx, %r13 + adcq %r15, %r14 + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r8, %rbx + adcq %r8, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rbx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rdx + addq %rdx, %r14 + adcq $0x0, %r15 + movq 0x38(%rsi), %rdx + xorl %r8d, %r8d + mulxq 0x60(%rcx), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x68(%rcx), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x70(%rcx), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x78(%rcx), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x80(%rcx), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r8, %r15 + mulxq 0x88(%rcx), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r8, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r9, %rbx + adcq %r9, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rbx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rdx + addq %rdx, %r15 + adcq $0x0, %r8 + movq 0x40(%rsi), %rdx + xorl %r9d, %r9d + mulxq 0x60(%rcx), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x68(%rcx), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x70(%rcx), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x78(%rcx), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x80(%rcx), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adoxq %r9, %r8 + mulxq 0x88(%rcx), %rax, %rbx + adcq %rax, %r15 + adcq %rbx, %r8 + adcq %r9, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r10, %rbx + adcq %r10, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rbx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rdx + addq %rdx, %r8 + adcq $0x0, %r9 + movq 0x48(%rsi), %rdx + xorl %r10d, %r10d + mulxq 0x60(%rcx), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x68(%rcx), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x70(%rcx), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x78(%rcx), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x80(%rcx), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + adoxq %r10, %r9 + mulxq 0x88(%rcx), %rax, %rbx + adcq %rax, %r8 + adcq %rbx, %r9 + adcq %r10, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r11, %rbx + adcq %r11, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rbx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rdx + addq %rdx, %r9 + adcq $0x0, %r10 + movq 0x50(%rsi), %rdx + xorl %r11d, %r11d + mulxq 0x60(%rcx), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x68(%rcx), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x70(%rcx), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x78(%rcx), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x80(%rcx), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + adoxq %r11, %r10 + mulxq 0x88(%rcx), %rax, %rbx + adcq %rax, %r9 + adcq %rbx, %r10 + adcq %r11, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r12, %rbx + adcq %r12, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rbx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rdx + addq %rdx, %r10 + adcq $0x0, %r11 + movq 0x58(%rsi), %rdx + xorl %r12d, %r12d + mulxq 0x60(%rcx), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x68(%rcx), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x70(%rcx), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x78(%rcx), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x80(%rcx), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + adoxq %r12, %r11 + mulxq 0x88(%rcx), %rax, %rbx + adcq %rax, %r10 + adcq %rbx, %r11 + adcq %r12, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r13, %rbx + adcq %r13, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rbx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rdx + addq %rdx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0x120(%rsp) + movq %r15, 0x128(%rsp) + movq %r8, 0x130(%rsp) + movq %r9, 0x138(%rsp) + movq %r10, 0x140(%rsp) + movq %r11, 0x148(%rsp) + movq 0x150(%rsp), %rsi + movq 0x158(%rsp), %rcx + movq 0x30(%rcx), %rdx + xorl %r15d, %r15d + mulxq 0x60(%rsi), %r8, %r9 + mulxq 0x68(%rsi), %rbx, %r10 + addq %rbx, %r9 + mulxq 0x70(%rsi), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x78(%rsi), %rbx, %r12 + adcq %rbx, %r11 + mulxq 0x80(%rsi), %rbx, %r13 + adcq %rbx, %r12 + mulxq 0x88(%rsi), %rbx, %r14 + adcq %rbx, %r13 + adcq %r15, %r14 + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r8, %rbx + adcq %r8, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rbx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rdx + addq %rdx, %r14 + adcq $0x0, %r15 + movq 0x38(%rcx), %rdx + xorl %r8d, %r8d + mulxq 0x60(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x68(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x70(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x78(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x80(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r8, %r15 + mulxq 0x88(%rsi), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r8, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r9, %rbx + adcq %r9, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rbx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rdx + addq %rdx, %r15 + adcq $0x0, %r8 + movq 0x40(%rcx), %rdx + xorl %r9d, %r9d + mulxq 0x60(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x68(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x70(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x78(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x80(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adoxq %r9, %r8 + mulxq 0x88(%rsi), %rax, %rbx + adcq %rax, %r15 + adcq %rbx, %r8 + adcq %r9, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r10, %rbx + adcq %r10, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rbx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rdx + addq %rdx, %r8 + adcq $0x0, %r9 + movq 0x48(%rcx), %rdx + xorl %r10d, %r10d + mulxq 0x60(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x68(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x70(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x78(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x80(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + adoxq %r10, %r9 + mulxq 0x88(%rsi), %rax, %rbx + adcq %rax, %r8 + adcq %rbx, %r9 + adcq %r10, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r11, %rbx + adcq %r11, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rbx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rdx + addq %rdx, %r9 + adcq $0x0, %r10 + movq 0x50(%rcx), %rdx + xorl %r11d, %r11d + mulxq 0x60(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x68(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x70(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x78(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x80(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + adoxq %r11, %r10 + mulxq 0x88(%rsi), %rax, %rbx + adcq %rax, %r9 + adcq %rbx, %r10 + adcq %r11, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r12, %rbx + adcq %r12, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rbx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rdx + addq %rdx, %r10 + adcq $0x0, %r11 + movq 0x58(%rcx), %rdx + xorl %r12d, %r12d + mulxq 0x60(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x68(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x70(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x78(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x80(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + adoxq %r12, %r11 + mulxq 0x88(%rsi), %rax, %rbx + adcq %rax, %r10 + adcq %rbx, %r11 + adcq %r12, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r13, %rbx + adcq %r13, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rbx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rdx + addq %rdx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0x30(%rsp) + movq %r15, 0x38(%rsp) + movq %r8, 0x40(%rsp) + movq %r9, 0x48(%rsp) + movq %r10, 0x50(%rsp) + movq %r11, 0x58(%rsp) + movq 0x158(%rsp), %rcx + movq (%rcx), %rdx + xorl %r15d, %r15d + mulxq (%rsp), %r8, %r9 + mulxq 0x8(%rsp), %rbx, %r10 + addq %rbx, %r9 + mulxq 0x10(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x18(%rsp), %rbx, %r12 + adcq %rbx, %r11 + mulxq 0x20(%rsp), %rbx, %r13 + adcq %rbx, %r12 + mulxq 0x28(%rsp), %rbx, %r14 + adcq %rbx, %r13 + adcq %r15, %r14 + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r8, %rbx + adcq %r8, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rbx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rdx + addq %rdx, %r14 + adcq $0x0, %r15 + movq 0x8(%rcx), %rdx + xorl %r8d, %r8d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x18(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r8, %r15 + mulxq 0x28(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r8, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r9, %rbx + adcq %r9, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rbx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rdx + addq %rdx, %r15 + adcq $0x0, %r8 + movq 0x10(%rcx), %rdx + xorl %r9d, %r9d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x18(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adoxq %r9, %r8 + mulxq 0x28(%rsp), %rax, %rbx + adcq %rax, %r15 + adcq %rbx, %r8 + adcq %r9, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r10, %rbx + adcq %r10, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rbx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rdx + addq %rdx, %r8 + adcq $0x0, %r9 + movq 0x18(%rcx), %rdx + xorl %r10d, %r10d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x18(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + adoxq %r10, %r9 + mulxq 0x28(%rsp), %rax, %rbx + adcq %rax, %r8 + adcq %rbx, %r9 + adcq %r10, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r11, %rbx + adcq %r11, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rbx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rdx + addq %rdx, %r9 + adcq $0x0, %r10 + movq 0x20(%rcx), %rdx + xorl %r11d, %r11d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x18(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + adoxq %r11, %r10 + mulxq 0x28(%rsp), %rax, %rbx + adcq %rax, %r9 + adcq %rbx, %r10 + adcq %r11, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r12, %rbx + adcq %r12, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rbx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rdx + addq %rdx, %r10 + adcq $0x0, %r11 + movq 0x28(%rcx), %rdx + xorl %r12d, %r12d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x18(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + adoxq %r12, %r11 + mulxq 0x28(%rsp), %rax, %rbx + adcq %rax, %r10 + adcq %rbx, %r11 + adcq %r12, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r13, %rbx + adcq %r13, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rbx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rdx + addq %rdx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0x60(%rsp) + movq %r15, 0x68(%rsp) + movq %r8, 0x70(%rsp) + movq %r9, 0x78(%rsp) + movq %r10, 0x80(%rsp) + movq %r11, 0x88(%rsp) + movq 0x150(%rsp), %rsi + movq (%rsi), %rdx + xorl %r15d, %r15d + mulxq 0xf0(%rsp), %r8, %r9 + mulxq 0xf8(%rsp), %rbx, %r10 + addq %rbx, %r9 + mulxq 0x100(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x108(%rsp), %rbx, %r12 + adcq %rbx, %r11 + mulxq 0x110(%rsp), %rbx, %r13 + adcq %rbx, %r12 + mulxq 0x118(%rsp), %rbx, %r14 + adcq %rbx, %r13 + adcq %r15, %r14 + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r8, %rbx + adcq %r8, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rbx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rdx + addq %rdx, %r14 + adcq $0x0, %r15 + movq 0x8(%rsi), %rdx + xorl %r8d, %r8d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r8, %r15 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r8, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r9, %rbx + adcq %r9, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rbx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rdx + addq %rdx, %r15 + adcq $0x0, %r8 + movq 0x10(%rsi), %rdx + xorl %r9d, %r9d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adoxq %r9, %r8 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r15 + adcq %rbx, %r8 + adcq %r9, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r10, %rbx + adcq %r10, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rbx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rdx + addq %rdx, %r8 + adcq $0x0, %r9 + movq 0x18(%rsi), %rdx + xorl %r10d, %r10d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + adoxq %r10, %r9 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r8 + adcq %rbx, %r9 + adcq %r10, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r11, %rbx + adcq %r11, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rbx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rdx + addq %rdx, %r9 + adcq $0x0, %r10 + movq 0x20(%rsi), %rdx + xorl %r11d, %r11d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + adoxq %r11, %r10 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r9 + adcq %rbx, %r10 + adcq %r11, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r12, %rbx + adcq %r12, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rbx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rdx + addq %rdx, %r10 + adcq $0x0, %r11 + movq 0x28(%rsi), %rdx + xorl %r12d, %r12d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + adoxq %r12, %r11 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r10 + adcq %rbx, %r11 + adcq %r12, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r13, %rbx + adcq %r13, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rbx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rdx + addq %rdx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0xc0(%rsp) + movq %r15, 0xc8(%rsp) + movq %r8, 0xd0(%rsp) + movq %r9, 0xd8(%rsp) + movq %r10, 0xe0(%rsp) + movq %r11, 0xe8(%rsp) + movq 0x30(%rsp), %rdx + xorl %r15d, %r15d + mulxq (%rsp), %r8, %r9 + mulxq 0x8(%rsp), %rbx, %r10 + addq %rbx, %r9 + mulxq 0x10(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x18(%rsp), %rbx, %r12 + adcq %rbx, %r11 + mulxq 0x20(%rsp), %rbx, %r13 + adcq %rbx, %r12 + mulxq 0x28(%rsp), %rbx, %r14 + adcq %rbx, %r13 + adcq %r15, %r14 + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r8, %rbx + adcq %r8, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rbx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rdx + addq %rdx, %r14 + adcq $0x0, %r15 + movq 0x38(%rsp), %rdx + xorl %r8d, %r8d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x18(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r8, %r15 + mulxq 0x28(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r8, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r9, %rbx + adcq %r9, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rbx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rdx + addq %rdx, %r15 + adcq $0x0, %r8 + movq 0x40(%rsp), %rdx + xorl %r9d, %r9d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x18(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adoxq %r9, %r8 + mulxq 0x28(%rsp), %rax, %rbx + adcq %rax, %r15 + adcq %rbx, %r8 + adcq %r9, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r10, %rbx + adcq %r10, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rbx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rdx + addq %rdx, %r8 + adcq $0x0, %r9 + movq 0x48(%rsp), %rdx + xorl %r10d, %r10d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x18(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + adoxq %r10, %r9 + mulxq 0x28(%rsp), %rax, %rbx + adcq %rax, %r8 + adcq %rbx, %r9 + adcq %r10, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r11, %rbx + adcq %r11, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rbx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rdx + addq %rdx, %r9 + adcq $0x0, %r10 + movq 0x50(%rsp), %rdx + xorl %r11d, %r11d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x18(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + adoxq %r11, %r10 + mulxq 0x28(%rsp), %rax, %rbx + adcq %rax, %r9 + adcq %rbx, %r10 + adcq %r11, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r12, %rbx + adcq %r12, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rbx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rdx + addq %rdx, %r10 + adcq $0x0, %r11 + movq 0x58(%rsp), %rdx + xorl %r12d, %r12d + mulxq (%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x8(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x10(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x18(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x20(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + adoxq %r12, %r11 + mulxq 0x28(%rsp), %rax, %rbx + adcq %rax, %r10 + adcq %rbx, %r11 + adcq %r12, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r13, %rbx + adcq %r13, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rbx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rdx + addq %rdx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0x30(%rsp) + movq %r15, 0x38(%rsp) + movq %r8, 0x40(%rsp) + movq %r9, 0x48(%rsp) + movq %r10, 0x50(%rsp) + movq %r11, 0x58(%rsp) + movq 0x120(%rsp), %rdx + xorl %r15d, %r15d + mulxq 0xf0(%rsp), %r8, %r9 + mulxq 0xf8(%rsp), %rbx, %r10 + addq %rbx, %r9 + mulxq 0x100(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x108(%rsp), %rbx, %r12 + adcq %rbx, %r11 + mulxq 0x110(%rsp), %rbx, %r13 + adcq %rbx, %r12 + mulxq 0x118(%rsp), %rbx, %r14 + adcq %rbx, %r13 + adcq %r15, %r14 + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r8, %rbx + adcq %r8, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rbx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rdx + addq %rdx, %r14 + adcq $0x0, %r15 + movq 0x128(%rsp), %rdx + xorl %r8d, %r8d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r8, %r15 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r8, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r9, %rbx + adcq %r9, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rbx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rdx + addq %rdx, %r15 + adcq $0x0, %r8 + movq 0x130(%rsp), %rdx + xorl %r9d, %r9d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adoxq %r9, %r8 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r15 + adcq %rbx, %r8 + adcq %r9, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r10, %rbx + adcq %r10, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rbx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rdx + addq %rdx, %r8 + adcq $0x0, %r9 + movq 0x138(%rsp), %rdx + xorl %r10d, %r10d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + adoxq %r10, %r9 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r8 + adcq %rbx, %r9 + adcq %r10, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r11, %rbx + adcq %r11, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rbx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rdx + addq %rdx, %r9 + adcq $0x0, %r10 + movq 0x140(%rsp), %rdx + xorl %r11d, %r11d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + adoxq %r11, %r10 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r9 + adcq %rbx, %r10 + adcq %r11, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r12, %rbx + adcq %r12, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rbx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rdx + addq %rdx, %r10 + adcq $0x0, %r11 + movq 0x148(%rsp), %rdx + xorl %r12d, %r12d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + adoxq %r12, %r11 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r10 + adcq %rbx, %r11 + adcq %r12, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r13, %rbx + adcq %r13, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rbx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rdx + addq %rdx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0x120(%rsp) + movq %r15, 0x128(%rsp) + movq %r8, 0x130(%rsp) + movq %r9, 0x138(%rsp) + movq %r10, 0x140(%rsp) + movq %r11, 0x148(%rsp) + movq 0x60(%rsp), %rax + subq 0xc0(%rsp), %rax + movq 0x68(%rsp), %rdx + sbbq 0xc8(%rsp), %rdx + movq 0x70(%rsp), %r8 + sbbq 0xd0(%rsp), %r8 + movq 0x78(%rsp), %r9 + sbbq 0xd8(%rsp), %r9 + movq 0x80(%rsp), %r10 + sbbq 0xe0(%rsp), %r10 + movq 0x88(%rsp), %r11 + sbbq 0xe8(%rsp), %r11 + sbbq %rcx, %rcx + movl $0xffffffff, %esi + andq %rsi, %rcx + xorq %rsi, %rsi + subq %rcx, %rsi + subq %rsi, %rax + movq %rax, 0xf0(%rsp) + sbbq %rcx, %rdx + movq %rdx, 0xf8(%rsp) + sbbq %rax, %rax + andq %rsi, %rcx + negq %rax + sbbq %rcx, %r8 + movq %r8, 0x100(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x108(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x110(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x118(%rsp) + movq 0x30(%rsp), %rax + subq 0x120(%rsp), %rax + movq 0x38(%rsp), %rdx + sbbq 0x128(%rsp), %rdx + movq 0x40(%rsp), %r8 + sbbq 0x130(%rsp), %r8 + movq 0x48(%rsp), %r9 + sbbq 0x138(%rsp), %r9 + movq 0x50(%rsp), %r10 + sbbq 0x140(%rsp), %r10 + movq 0x58(%rsp), %r11 + sbbq 0x148(%rsp), %r11 + sbbq %rcx, %rcx + movl $0xffffffff, %esi + andq %rsi, %rcx + xorq %rsi, %rsi + subq %rcx, %rsi + subq %rsi, %rax + movq %rax, 0x30(%rsp) + sbbq %rcx, %rdx + movq %rdx, 0x38(%rsp) + sbbq %rax, %rax + andq %rsi, %rcx + negq %rax + sbbq %rcx, %r8 + movq %r8, 0x40(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x48(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x50(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x58(%rsp) + movq 0xf0(%rsp), %rdx + mulxq 0xf8(%rsp), %r9, %r10 + mulxq 0x108(%rsp), %r11, %r12 + mulxq 0x118(%rsp), %r13, %r14 + movq 0x108(%rsp), %rdx + mulxq 0x110(%rsp), %r15, %rcx + xorl %ebp, %ebp + movq 0x100(%rsp), %rdx + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0xf8(%rsp), %rdx + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x118(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rbp, %r15 + adoxq %rbp, %rcx + adcq %rbp, %rcx + xorl %ebp, %ebp + movq 0x110(%rsp), %rdx + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq 0x100(%rsp), %rdx + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x118(%rsp), %rax, %rdx + adcxq %rax, %r15 + adoxq %rdx, %rcx + movq 0x118(%rsp), %rdx + mulxq 0x110(%rsp), %rbx, %rbp + mulxq 0x108(%rsp), %rax, %rdx + adcxq %rax, %rcx + adoxq %rdx, %rbx + movl $0x0, %eax + adcxq %rax, %rbx + adoxq %rax, %rbp + adcq %rax, %rbp + xorq %rax, %rax + movq 0xf0(%rsp), %rdx + mulxq 0xf0(%rsp), %r8, %rax + adcxq %r9, %r9 + adoxq %rax, %r9 + movq 0xf8(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x100(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x108(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %r15, %r15 + adoxq %rdx, %r15 + movq 0x110(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %rcx, %rcx + adoxq %rax, %rcx + adcxq %rbx, %rbx + adoxq %rdx, %rbx + movq 0x118(%rsp), %rdx + mulxq %rdx, %rax, %rsi + adcxq %rbp, %rbp + adoxq %rax, %rbp + movl $0x0, %eax + adcxq %rax, %rsi + adoxq %rax, %rsi + movq %rbx, 0x90(%rsp) + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r8, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r8 + addq %rbx, %rax + adcq %rdx, %r8 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r9 + sbbq %r8, %r10 + sbbq %rbx, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + movq %rdx, %r8 + sbbq $0x0, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r9, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r9 + addq %rbx, %rax + adcq %rdx, %r9 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r10 + sbbq %r9, %r11 + sbbq %rbx, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r8 + movq %rdx, %r9 + sbbq $0x0, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r10, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r10 + addq %rbx, %rax + adcq %rdx, %r10 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r11 + sbbq %r10, %r12 + sbbq %rbx, %r13 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + movq %rdx, %r10 + sbbq $0x0, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r11, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r11 + addq %rbx, %rax + adcq %rdx, %r11 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r12 + sbbq %r11, %r13 + sbbq %rbx, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + movq %rdx, %r11 + sbbq $0x0, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r12, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r12 + addq %rbx, %rax + adcq %rdx, %r12 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r13 + sbbq %r12, %r8 + sbbq %rbx, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %r11 + movq %rdx, %r12 + sbbq $0x0, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r13, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r13 + addq %rbx, %rax + adcq %rdx, %r13 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r8 + sbbq %r13, %r9 + sbbq %rbx, %r10 + sbbq $0x0, %r11 + sbbq $0x0, %r12 + movq %rdx, %r13 + sbbq $0x0, %r13 + movq 0x90(%rsp), %rbx + addq %r8, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r11, %rbx + adcq %r12, %rbp + adcq %r13, %rsi + movl $0x0, %r8d + movabsq $0xffffffff00000001, %rax + movl $0xffffffff, %r9d + movl $0x1, %r10d + cmovaeq %r8, %rax + cmovaeq %r8, %r9 + cmovaeq %r8, %r10 + addq %rax, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r8, %rbx + adcq %r8, %rbp + adcq %r8, %rsi + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + movq %rcx, 0xa0(%rsp) + movq %rbx, 0xa8(%rsp) + movq %rbp, 0xb0(%rsp) + movq %rsi, 0xb8(%rsp) + movq 0x30(%rsp), %rdx + mulxq 0x38(%rsp), %r9, %r10 + mulxq 0x48(%rsp), %r11, %r12 + mulxq 0x58(%rsp), %r13, %r14 + movq 0x48(%rsp), %rdx + mulxq 0x50(%rsp), %r15, %rcx + xorl %ebp, %ebp + movq 0x40(%rsp), %rdx + mulxq 0x30(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x38(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x38(%rsp), %rdx + mulxq 0x48(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x50(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x58(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rbp, %r15 + adoxq %rbp, %rcx + adcq %rbp, %rcx + xorl %ebp, %ebp + movq 0x50(%rsp), %rdx + mulxq 0x30(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq 0x40(%rsp), %rdx + mulxq 0x48(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x50(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x58(%rsp), %rax, %rdx + adcxq %rax, %r15 + adoxq %rdx, %rcx + movq 0x58(%rsp), %rdx + mulxq 0x50(%rsp), %rbx, %rbp + mulxq 0x48(%rsp), %rax, %rdx + adcxq %rax, %rcx + adoxq %rdx, %rbx + movl $0x0, %eax + adcxq %rax, %rbx + adoxq %rax, %rbp + adcq %rax, %rbp + xorq %rax, %rax + movq 0x30(%rsp), %rdx + mulxq 0x30(%rsp), %r8, %rax + adcxq %r9, %r9 + adoxq %rax, %r9 + movq 0x38(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x40(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x48(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %r15, %r15 + adoxq %rdx, %r15 + movq 0x50(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %rcx, %rcx + adoxq %rax, %rcx + adcxq %rbx, %rbx + adoxq %rdx, %rbx + movq 0x58(%rsp), %rdx + mulxq %rdx, %rax, %rsi + adcxq %rbp, %rbp + adoxq %rax, %rbp + movl $0x0, %eax + adcxq %rax, %rsi + adoxq %rax, %rsi + movq %rbx, (%rsp) + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r8, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r8 + addq %rbx, %rax + adcq %rdx, %r8 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r9 + sbbq %r8, %r10 + sbbq %rbx, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + movq %rdx, %r8 + sbbq $0x0, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r9, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r9 + addq %rbx, %rax + adcq %rdx, %r9 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r10 + sbbq %r9, %r11 + sbbq %rbx, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r8 + movq %rdx, %r9 + sbbq $0x0, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r10, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r10 + addq %rbx, %rax + adcq %rdx, %r10 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r11 + sbbq %r10, %r12 + sbbq %rbx, %r13 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + movq %rdx, %r10 + sbbq $0x0, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r11, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r11 + addq %rbx, %rax + adcq %rdx, %r11 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r12 + sbbq %r11, %r13 + sbbq %rbx, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + movq %rdx, %r11 + sbbq $0x0, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r12, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r12 + addq %rbx, %rax + adcq %rdx, %r12 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r13 + sbbq %r12, %r8 + sbbq %rbx, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %r11 + movq %rdx, %r12 + sbbq $0x0, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r13, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r13 + addq %rbx, %rax + adcq %rdx, %r13 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r8 + sbbq %r13, %r9 + sbbq %rbx, %r10 + sbbq $0x0, %r11 + sbbq $0x0, %r12 + movq %rdx, %r13 + sbbq $0x0, %r13 + movq (%rsp), %rbx + addq %r8, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r11, %rbx + adcq %r12, %rbp + adcq %r13, %rsi + movl $0x0, %r8d + adcq %r8, %r8 + xorq %r11, %r11 + xorq %r12, %r12 + xorq %r13, %r13 + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %r9d + adcq %r15, %r9 + movl $0x1, %r10d + adcq %rcx, %r10 + adcq %rbx, %r11 + adcq %rbp, %r12 + adcq %rsi, %r13 + adcq $0x0, %r8 + cmovneq %rax, %r14 + cmovneq %r9, %r15 + cmovneq %r10, %rcx + cmovneq %r11, %rbx + cmovneq %r12, %rbp + cmovneq %r13, %rsi + movq %r14, (%rsp) + movq %r15, 0x8(%rsp) + movq %rcx, 0x10(%rsp) + movq %rbx, 0x18(%rsp) + movq %rbp, 0x20(%rsp) + movq %rsi, 0x28(%rsp) + movq 0xc0(%rsp), %rdx + xorl %r15d, %r15d + mulxq 0x90(%rsp), %r8, %r9 + mulxq 0x98(%rsp), %rbx, %r10 + addq %rbx, %r9 + mulxq 0xa0(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0xa8(%rsp), %rbx, %r12 + adcq %rbx, %r11 + mulxq 0xb0(%rsp), %rbx, %r13 + adcq %rbx, %r12 + mulxq 0xb8(%rsp), %rbx, %r14 + adcq %rbx, %r13 + adcq %r15, %r14 + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r8, %rbx + adcq %r8, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rbx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rdx + addq %rdx, %r14 + adcq $0x0, %r15 + movq 0xc8(%rsp), %rdx + xorl %r8d, %r8d + mulxq 0x90(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x98(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r8, %r15 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r8, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r9, %rbx + adcq %r9, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rbx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rdx + addq %rdx, %r15 + adcq $0x0, %r8 + movq 0xd0(%rsp), %rdx + xorl %r9d, %r9d + mulxq 0x90(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x98(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adoxq %r9, %r8 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r15 + adcq %rbx, %r8 + adcq %r9, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r10, %rbx + adcq %r10, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rbx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rdx + addq %rdx, %r8 + adcq $0x0, %r9 + movq 0xd8(%rsp), %rdx + xorl %r10d, %r10d + mulxq 0x90(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x98(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + adoxq %r10, %r9 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r8 + adcq %rbx, %r9 + adcq %r10, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r11, %rbx + adcq %r11, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rbx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rdx + addq %rdx, %r9 + adcq $0x0, %r10 + movq 0xe0(%rsp), %rdx + xorl %r11d, %r11d + mulxq 0x90(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x98(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + adoxq %r11, %r10 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r9 + adcq %rbx, %r10 + adcq %r11, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r12, %rbx + adcq %r12, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rbx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rdx + addq %rdx, %r10 + adcq $0x0, %r11 + movq 0xe8(%rsp), %rdx + xorl %r12d, %r12d + mulxq 0x90(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x98(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + adoxq %r12, %r11 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r10 + adcq %rbx, %r11 + adcq %r12, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r13, %rbx + adcq %r13, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rbx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rdx + addq %rdx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0xc0(%rsp) + movq %r15, 0xc8(%rsp) + movq %r8, 0xd0(%rsp) + movq %r9, 0xd8(%rsp) + movq %r10, 0xe0(%rsp) + movq %r11, 0xe8(%rsp) + movq 0x60(%rsp), %rdx + xorl %r15d, %r15d + mulxq 0x90(%rsp), %r8, %r9 + mulxq 0x98(%rsp), %rbx, %r10 + addq %rbx, %r9 + mulxq 0xa0(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0xa8(%rsp), %rbx, %r12 + adcq %rbx, %r11 + mulxq 0xb0(%rsp), %rbx, %r13 + adcq %rbx, %r12 + mulxq 0xb8(%rsp), %rbx, %r14 + adcq %rbx, %r13 + adcq %r15, %r14 + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r8, %rbx + adcq %r8, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rbx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rdx + addq %rdx, %r14 + adcq $0x0, %r15 + movq 0x68(%rsp), %rdx + xorl %r8d, %r8d + mulxq 0x90(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x98(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r8, %r15 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r8, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r9, %rbx + adcq %r9, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rbx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rdx + addq %rdx, %r15 + adcq $0x0, %r8 + movq 0x70(%rsp), %rdx + xorl %r9d, %r9d + mulxq 0x90(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x98(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adoxq %r9, %r8 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r15 + adcq %rbx, %r8 + adcq %r9, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r10, %rbx + adcq %r10, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rbx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rdx + addq %rdx, %r8 + adcq $0x0, %r9 + movq 0x78(%rsp), %rdx + xorl %r10d, %r10d + mulxq 0x90(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x98(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + adoxq %r10, %r9 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r8 + adcq %rbx, %r9 + adcq %r10, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r11, %rbx + adcq %r11, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rbx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rdx + addq %rdx, %r9 + adcq $0x0, %r10 + movq 0x80(%rsp), %rdx + xorl %r11d, %r11d + mulxq 0x90(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x98(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + adoxq %r11, %r10 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r9 + adcq %rbx, %r10 + adcq %r11, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r12, %rbx + adcq %r12, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rbx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rdx + addq %rdx, %r10 + adcq $0x0, %r11 + movq 0x88(%rsp), %rdx + xorl %r12d, %r12d + mulxq 0x90(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x98(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + adoxq %r12, %r11 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r10 + adcq %rbx, %r11 + adcq %r12, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r13, %rbx + adcq %r13, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rbx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rdx + addq %rdx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0x60(%rsp) + movq %r15, 0x68(%rsp) + movq %r8, 0x70(%rsp) + movq %r9, 0x78(%rsp) + movq %r10, 0x80(%rsp) + movq %r11, 0x88(%rsp) + movq (%rsp), %rax + subq 0xc0(%rsp), %rax + movq 0x8(%rsp), %rdx + sbbq 0xc8(%rsp), %rdx + movq 0x10(%rsp), %r8 + sbbq 0xd0(%rsp), %r8 + movq 0x18(%rsp), %r9 + sbbq 0xd8(%rsp), %r9 + movq 0x20(%rsp), %r10 + sbbq 0xe0(%rsp), %r10 + movq 0x28(%rsp), %r11 + sbbq 0xe8(%rsp), %r11 + sbbq %rcx, %rcx + movl $0xffffffff, %esi + andq %rsi, %rcx + xorq %rsi, %rsi + subq %rcx, %rsi + subq %rsi, %rax + movq %rax, (%rsp) + sbbq %rcx, %rdx + movq %rdx, 0x8(%rsp) + sbbq %rax, %rax + andq %rsi, %rcx + negq %rax + sbbq %rcx, %r8 + movq %r8, 0x10(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x18(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x20(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x28(%rsp) + movq 0x60(%rsp), %rax + subq 0xc0(%rsp), %rax + movq 0x68(%rsp), %rdx + sbbq 0xc8(%rsp), %rdx + movq 0x70(%rsp), %r8 + sbbq 0xd0(%rsp), %r8 + movq 0x78(%rsp), %r9 + sbbq 0xd8(%rsp), %r9 + movq 0x80(%rsp), %r10 + sbbq 0xe0(%rsp), %r10 + movq 0x88(%rsp), %r11 + sbbq 0xe8(%rsp), %r11 + sbbq %rcx, %rcx + movl $0xffffffff, %esi + andq %rsi, %rcx + xorq %rsi, %rsi + subq %rcx, %rsi + subq %rsi, %rax + movq %rax, 0x90(%rsp) + sbbq %rcx, %rdx + movq %rdx, 0x98(%rsp) + sbbq %rax, %rax + andq %rsi, %rcx + negq %rax + sbbq %rcx, %r8 + movq %r8, 0xa0(%rsp) + sbbq $0x0, %r9 + movq %r9, 0xa8(%rsp) + sbbq $0x0, %r10 + movq %r10, 0xb0(%rsp) + sbbq $0x0, %r11 + movq %r11, 0xb8(%rsp) + movq 0x150(%rsp), %rsi + movq 0x60(%rsi), %rdx + xorl %r15d, %r15d + mulxq 0xf0(%rsp), %r8, %r9 + mulxq 0xf8(%rsp), %rbx, %r10 + addq %rbx, %r9 + mulxq 0x100(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x108(%rsp), %rbx, %r12 + adcq %rbx, %r11 + mulxq 0x110(%rsp), %rbx, %r13 + adcq %rbx, %r12 + mulxq 0x118(%rsp), %rbx, %r14 + adcq %rbx, %r13 + adcq %r15, %r14 + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r8, %rbx + adcq %r8, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rbx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rdx + addq %rdx, %r14 + adcq $0x0, %r15 + movq 0x68(%rsi), %rdx + xorl %r8d, %r8d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r8, %r15 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r8, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r9, %rbx + adcq %r9, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rbx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rdx + addq %rdx, %r15 + adcq $0x0, %r8 + movq 0x70(%rsi), %rdx + xorl %r9d, %r9d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adoxq %r9, %r8 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r15 + adcq %rbx, %r8 + adcq %r9, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r10, %rbx + adcq %r10, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rbx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rdx + addq %rdx, %r8 + adcq $0x0, %r9 + movq 0x78(%rsi), %rdx + xorl %r10d, %r10d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + adoxq %r10, %r9 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r8 + adcq %rbx, %r9 + adcq %r10, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r11, %rbx + adcq %r11, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rbx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rdx + addq %rdx, %r9 + adcq $0x0, %r10 + movq 0x80(%rsi), %rdx + xorl %r11d, %r11d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + adoxq %r11, %r10 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r9 + adcq %rbx, %r10 + adcq %r11, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r12, %rbx + adcq %r12, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rbx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rdx + addq %rdx, %r10 + adcq $0x0, %r11 + movq 0x88(%rsi), %rdx + xorl %r12d, %r12d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + adoxq %r12, %r11 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r10 + adcq %rbx, %r11 + adcq %r12, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r13, %rbx + adcq %r13, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rbx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rdx + addq %rdx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0xf0(%rsp) + movq %r15, 0xf8(%rsp) + movq %r8, 0x100(%rsp) + movq %r9, 0x108(%rsp) + movq %r10, 0x110(%rsp) + movq %r11, 0x118(%rsp) + movq (%rsp), %rax + subq 0x60(%rsp), %rax + movq 0x8(%rsp), %rdx + sbbq 0x68(%rsp), %rdx + movq 0x10(%rsp), %r8 + sbbq 0x70(%rsp), %r8 + movq 0x18(%rsp), %r9 + sbbq 0x78(%rsp), %r9 + movq 0x20(%rsp), %r10 + sbbq 0x80(%rsp), %r10 + movq 0x28(%rsp), %r11 + sbbq 0x88(%rsp), %r11 + sbbq %rcx, %rcx + movl $0xffffffff, %esi + andq %rsi, %rcx + xorq %rsi, %rsi + subq %rcx, %rsi + subq %rsi, %rax + movq %rax, (%rsp) + sbbq %rcx, %rdx + movq %rdx, 0x8(%rsp) + sbbq %rax, %rax + andq %rsi, %rcx + negq %rax + sbbq %rcx, %r8 + movq %r8, 0x10(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x18(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x20(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x28(%rsp) + movq 0xc0(%rsp), %rax + subq (%rsp), %rax + movq 0xc8(%rsp), %rdx + sbbq 0x8(%rsp), %rdx + movq 0xd0(%rsp), %r8 + sbbq 0x10(%rsp), %r8 + movq 0xd8(%rsp), %r9 + sbbq 0x18(%rsp), %r9 + movq 0xe0(%rsp), %r10 + sbbq 0x20(%rsp), %r10 + movq 0xe8(%rsp), %r11 + sbbq 0x28(%rsp), %r11 + sbbq %rcx, %rcx + movl $0xffffffff, %esi + andq %rsi, %rcx + xorq %rsi, %rsi + subq %rcx, %rsi + subq %rsi, %rax + movq %rax, 0xc0(%rsp) + sbbq %rcx, %rdx + movq %rdx, 0xc8(%rsp) + sbbq %rax, %rax + andq %rsi, %rcx + negq %rax + sbbq %rcx, %r8 + movq %r8, 0xd0(%rsp) + sbbq $0x0, %r9 + movq %r9, 0xd8(%rsp) + sbbq $0x0, %r10 + movq %r10, 0xe0(%rsp) + sbbq $0x0, %r11 + movq %r11, 0xe8(%rsp) + movq 0x120(%rsp), %rdx + xorl %r15d, %r15d + mulxq 0x90(%rsp), %r8, %r9 + mulxq 0x98(%rsp), %rbx, %r10 + addq %rbx, %r9 + mulxq 0xa0(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0xa8(%rsp), %rbx, %r12 + adcq %rbx, %r11 + mulxq 0xb0(%rsp), %rbx, %r13 + adcq %rbx, %r12 + mulxq 0xb8(%rsp), %rbx, %r14 + adcq %rbx, %r13 + adcq %r15, %r14 + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r8, %rbx + adcq %r8, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rbx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rdx + addq %rdx, %r14 + adcq $0x0, %r15 + movq 0x128(%rsp), %rdx + xorl %r8d, %r8d + mulxq 0x90(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x98(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r8, %r15 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r8, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r9, %rbx + adcq %r9, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rbx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rdx + addq %rdx, %r15 + adcq $0x0, %r8 + movq 0x130(%rsp), %rdx + xorl %r9d, %r9d + mulxq 0x90(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x98(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adoxq %r9, %r8 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r15 + adcq %rbx, %r8 + adcq %r9, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r10, %rbx + adcq %r10, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rbx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rdx + addq %rdx, %r8 + adcq $0x0, %r9 + movq 0x138(%rsp), %rdx + xorl %r10d, %r10d + mulxq 0x90(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x98(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + adoxq %r10, %r9 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r8 + adcq %rbx, %r9 + adcq %r10, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r11, %rbx + adcq %r11, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rbx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rdx + addq %rdx, %r9 + adcq $0x0, %r10 + movq 0x140(%rsp), %rdx + xorl %r11d, %r11d + mulxq 0x90(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x98(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + adoxq %r11, %r10 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r9 + adcq %rbx, %r10 + adcq %r11, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r12, %rbx + adcq %r12, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rbx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rdx + addq %rdx, %r10 + adcq $0x0, %r11 + movq 0x148(%rsp), %rdx + xorl %r12d, %r12d + mulxq 0x90(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x98(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + adoxq %r12, %r11 + mulxq 0xb8(%rsp), %rax, %rbx + adcq %rax, %r10 + adcq %rbx, %r11 + adcq %r12, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r13, %rbx + adcq %r13, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rbx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rdx + addq %rdx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + movq %r8, 0xa0(%rsp) + movq %r9, 0xa8(%rsp) + movq %r10, 0xb0(%rsp) + movq %r11, 0xb8(%rsp) + movq 0x158(%rsp), %rcx + movq 0x60(%rcx), %rdx + xorl %r15d, %r15d + mulxq 0xf0(%rsp), %r8, %r9 + mulxq 0xf8(%rsp), %rbx, %r10 + addq %rbx, %r9 + mulxq 0x100(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x108(%rsp), %rbx, %r12 + adcq %rbx, %r11 + mulxq 0x110(%rsp), %rbx, %r13 + adcq %rbx, %r12 + mulxq 0x118(%rsp), %rbx, %r14 + adcq %rbx, %r13 + adcq %r15, %r14 + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r8, %rbx + adcq %r8, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rbx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rdx + addq %rdx, %r14 + adcq $0x0, %r15 + movq 0x68(%rcx), %rdx + xorl %r8d, %r8d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r8, %r15 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r8, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r9, %rbx + adcq %r9, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rbx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rdx + addq %rdx, %r15 + adcq $0x0, %r8 + movq 0x70(%rcx), %rdx + xorl %r9d, %r9d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adoxq %r9, %r8 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r15 + adcq %rbx, %r8 + adcq %r9, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r10, %rbx + adcq %r10, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rbx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rdx + addq %rdx, %r8 + adcq $0x0, %r9 + movq 0x78(%rcx), %rdx + xorl %r10d, %r10d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + adoxq %r10, %r9 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r8 + adcq %rbx, %r9 + adcq %r10, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r11, %rbx + adcq %r11, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rbx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rdx + addq %rdx, %r9 + adcq $0x0, %r10 + movq 0x80(%rcx), %rdx + xorl %r11d, %r11d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + adoxq %r11, %r10 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r9 + adcq %rbx, %r10 + adcq %r11, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r12, %rbx + adcq %r12, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rbx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rdx + addq %rdx, %r10 + adcq $0x0, %r11 + movq 0x88(%rcx), %rdx + xorl %r12d, %r12d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + adoxq %r12, %r11 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r10 + adcq %rbx, %r11 + adcq %r12, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r13, %rbx + adcq %r13, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rbx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rdx + addq %rdx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0xf0(%rsp) + movq %r15, 0xf8(%rsp) + movq %r8, 0x100(%rsp) + movq %r9, 0x108(%rsp) + movq %r10, 0x110(%rsp) + movq %r11, 0x118(%rsp) + movq 0xc0(%rsp), %rdx + xorl %r15d, %r15d + mulxq 0x30(%rsp), %r8, %r9 + mulxq 0x38(%rsp), %rbx, %r10 + addq %rbx, %r9 + mulxq 0x40(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x48(%rsp), %rbx, %r12 + adcq %rbx, %r11 + mulxq 0x50(%rsp), %rbx, %r13 + adcq %rbx, %r12 + mulxq 0x58(%rsp), %rbx, %r14 + adcq %rbx, %r13 + adcq %r15, %r14 + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r8, %rbx + adcq %r8, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rbx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rdx + addq %rdx, %r14 + adcq $0x0, %r15 + movq 0xc8(%rsp), %rdx + xorl %r8d, %r8d + mulxq 0x30(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x38(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x40(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x48(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x50(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r8, %r15 + mulxq 0x58(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r8, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r9, %rbx + adcq %r9, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rbx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rdx + addq %rdx, %r15 + adcq $0x0, %r8 + movq 0xd0(%rsp), %rdx + xorl %r9d, %r9d + mulxq 0x30(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x38(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x40(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x48(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x50(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adoxq %r9, %r8 + mulxq 0x58(%rsp), %rax, %rbx + adcq %rax, %r15 + adcq %rbx, %r8 + adcq %r9, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r10, %rbx + adcq %r10, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rbx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rdx + addq %rdx, %r8 + adcq $0x0, %r9 + movq 0xd8(%rsp), %rdx + xorl %r10d, %r10d + mulxq 0x30(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x38(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x40(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x48(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x50(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + adoxq %r10, %r9 + mulxq 0x58(%rsp), %rax, %rbx + adcq %rax, %r8 + adcq %rbx, %r9 + adcq %r10, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r11, %rbx + adcq %r11, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rbx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rdx + addq %rdx, %r9 + adcq $0x0, %r10 + movq 0xe0(%rsp), %rdx + xorl %r11d, %r11d + mulxq 0x30(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x38(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x40(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x48(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x50(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + adoxq %r11, %r10 + mulxq 0x58(%rsp), %rax, %rbx + adcq %rax, %r9 + adcq %rbx, %r10 + adcq %r11, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r12, %rbx + adcq %r12, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rbx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rdx + addq %rdx, %r10 + adcq $0x0, %r11 + movq 0xe8(%rsp), %rdx + xorl %r12d, %r12d + mulxq 0x30(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x38(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x40(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x48(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x50(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + adoxq %r12, %r11 + mulxq 0x58(%rsp), %rax, %rbx + adcq %rax, %r10 + adcq %rbx, %r11 + adcq %r12, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r13, %rbx + adcq %r13, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rbx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rdx + addq %rdx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0xc0(%rsp) + movq %r15, 0xc8(%rsp) + movq %r8, 0xd0(%rsp) + movq %r9, 0xd8(%rsp) + movq %r10, 0xe0(%rsp) + movq %r11, 0xe8(%rsp) + movq 0xc0(%rsp), %rax + subq 0x90(%rsp), %rax + movq 0xc8(%rsp), %rdx + sbbq 0x98(%rsp), %rdx + movq 0xd0(%rsp), %r8 + sbbq 0xa0(%rsp), %r8 + movq 0xd8(%rsp), %r9 + sbbq 0xa8(%rsp), %r9 + movq 0xe0(%rsp), %r10 + sbbq 0xb0(%rsp), %r10 + movq 0xe8(%rsp), %r11 + sbbq 0xb8(%rsp), %r11 + sbbq %rcx, %rcx + movl $0xffffffff, %esi + andq %rsi, %rcx + xorq %rsi, %rsi + subq %rcx, %rsi + subq %rsi, %rax + movq %rax, 0xc0(%rsp) + sbbq %rcx, %rdx + movq %rdx, 0xc8(%rsp) + sbbq %rax, %rax + andq %rsi, %rcx + negq %rax + sbbq %rcx, %r8 + movq %r8, 0xd0(%rsp) + sbbq $0x0, %r9 + movq %r9, 0xd8(%rsp) + sbbq $0x0, %r10 + movq %r10, 0xe0(%rsp) + sbbq $0x0, %r11 + movq %r11, 0xe8(%rsp) + movq 0x158(%rsp), %rcx + movq 0x60(%rcx), %r8 + movq 0x68(%rcx), %r9 + movq 0x70(%rcx), %r10 + movq 0x78(%rcx), %r11 + movq 0x80(%rcx), %rbx + movq 0x88(%rcx), %rbp + movq %r8, %rax + movq %r9, %rdx + orq %r10, %rax + orq %r11, %rdx + orq %rbx, %rax + orq %rbp, %rdx + orq %rdx, %rax + negq %rax + sbbq %rax, %rax + movq 0x150(%rsp), %rsi + movq 0x60(%rsi), %r12 + movq 0x68(%rsi), %r13 + movq 0x70(%rsi), %r14 + movq 0x78(%rsi), %r15 + movq 0x80(%rsi), %rdx + movq 0x88(%rsi), %rcx + cmoveq %r12, %r8 + cmoveq %r13, %r9 + cmoveq %r14, %r10 + cmoveq %r15, %r11 + cmoveq %rdx, %rbx + cmoveq %rcx, %rbp + orq %r13, %r12 + orq %r15, %r14 + orq %rcx, %rdx + orq %r14, %r12 + orq %r12, %rdx + negq %rdx + sbbq %rdx, %rdx + cmpq %rdx, %rax + cmoveq 0xf0(%rsp), %r8 + cmoveq 0xf8(%rsp), %r9 + cmoveq 0x100(%rsp), %r10 + cmoveq 0x108(%rsp), %r11 + cmoveq 0x110(%rsp), %rbx + cmoveq 0x118(%rsp), %rbp + movq %r8, 0xf0(%rsp) + movq %r9, 0xf8(%rsp) + movq %r10, 0x100(%rsp) + movq %r11, 0x108(%rsp) + movq %rbx, 0x110(%rsp) + movq %rbp, 0x118(%rsp) + movq 0x158(%rsp), %rcx + movq 0x150(%rsp), %rsi + movq (%rsp), %r8 + cmovbq (%rsi), %r8 + cmova (%rcx), %r8 + movq 0x8(%rsp), %r9 + cmovbq 0x8(%rsi), %r9 + cmova 0x8(%rcx), %r9 + movq 0x10(%rsp), %r10 + cmovbq 0x10(%rsi), %r10 + cmova 0x10(%rcx), %r10 + movq 0x18(%rsp), %r11 + cmovbq 0x18(%rsi), %r11 + cmova 0x18(%rcx), %r11 + movq 0x20(%rsp), %rbx + cmovbq 0x20(%rsi), %rbx + cmova 0x20(%rcx), %rbx + movq 0x28(%rsp), %rbp + cmovbq 0x28(%rsi), %rbp + cmova 0x28(%rcx), %rbp + movq 0xc0(%rsp), %r12 + cmovbq 0x30(%rsi), %r12 + cmova 0x30(%rcx), %r12 + movq 0xc8(%rsp), %r13 + cmovbq 0x38(%rsi), %r13 + cmova 0x38(%rcx), %r13 + movq 0xd0(%rsp), %r14 + cmovbq 0x40(%rsi), %r14 + cmova 0x40(%rcx), %r14 + movq 0xd8(%rsp), %r15 + cmovbq 0x48(%rsi), %r15 + cmova 0x48(%rcx), %r15 + movq 0xe0(%rsp), %rdx + cmovbq 0x50(%rsi), %rdx + cmova 0x50(%rcx), %rdx + movq 0xe8(%rsp), %rax + cmovbq 0x58(%rsi), %rax + cmova 0x58(%rcx), %rax + movq %r8, (%rdi) + movq %r9, 0x8(%rdi) + movq %r10, 0x10(%rdi) + movq %r11, 0x18(%rdi) + movq %rbx, 0x20(%rdi) + movq %rbp, 0x28(%rdi) + movq 0xf0(%rsp), %r8 + movq 0xf8(%rsp), %r9 + movq 0x100(%rsp), %r10 + movq 0x108(%rsp), %r11 + movq 0x110(%rsp), %rbx + movq 0x118(%rsp), %rbp + movq %r12, 0x30(%rdi) + movq %r13, 0x38(%rdi) + movq %r14, 0x40(%rdi) + movq %r15, 0x48(%rdi) + movq %rdx, 0x50(%rdi) + movq %rax, 0x58(%rdi) + movq %r8, 0x60(%rdi) + movq %r9, 0x68(%rdi) + movq %r10, 0x70(%rdi) + movq %r11, 0x78(%rdi) + movq %rbx, 0x80(%rdi) + movq %rbp, 0x88(%rdi) + CFI_INC_RSP(352) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp384_montjscalarmul_p384_montjadd) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp384_montjscalarmul_p384_montjdouble) + +Lp384_montjscalarmul_p384_montjdouble: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(344) + movq %rdi, 0x150(%rsp) + movq 0x60(%rsi), %rdx + mulxq 0x68(%rsi), %r9, %r10 + mulxq 0x78(%rsi), %r11, %r12 + mulxq 0x88(%rsi), %r13, %r14 + movq 0x78(%rsi), %rdx + mulxq 0x80(%rsi), %r15, %rcx + xorl %ebp, %ebp + movq 0x70(%rsi), %rdx + mulxq 0x60(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x68(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x68(%rsi), %rdx + mulxq 0x78(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x80(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x88(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rbp, %r15 + adoxq %rbp, %rcx + adcq %rbp, %rcx + xorl %ebp, %ebp + movq 0x80(%rsi), %rdx + mulxq 0x60(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq 0x70(%rsi), %rdx + mulxq 0x78(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x80(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x88(%rsi), %rax, %rdx + adcxq %rax, %r15 + adoxq %rdx, %rcx + movq 0x88(%rsi), %rdx + mulxq 0x80(%rsi), %rbx, %rbp + mulxq 0x78(%rsi), %rax, %rdx + adcxq %rax, %rcx + adoxq %rdx, %rbx + movl $0x0, %eax + adcxq %rax, %rbx + adoxq %rax, %rbp + adcq %rax, %rbp + xorq %rax, %rax + movq 0x60(%rsi), %rdx + mulxq 0x60(%rsi), %r8, %rax + adcxq %r9, %r9 + adoxq %rax, %r9 + movq 0x68(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x70(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x78(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %r15, %r15 + adoxq %rdx, %r15 + movq 0x80(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %rcx, %rcx + adoxq %rax, %rcx + adcxq %rbx, %rbx + adoxq %rdx, %rbx + movq 0x88(%rsi), %rdx + mulxq %rdx, %rax, %rdi + adcxq %rbp, %rbp + adoxq %rax, %rbp + movl $0x0, %eax + adcxq %rax, %rdi + adoxq %rax, %rdi + movq %rbx, (%rsp) + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r8, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r8 + addq %rbx, %rax + adcq %rdx, %r8 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r9 + sbbq %r8, %r10 + sbbq %rbx, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + movq %rdx, %r8 + sbbq $0x0, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r9, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r9 + addq %rbx, %rax + adcq %rdx, %r9 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r10 + sbbq %r9, %r11 + sbbq %rbx, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r8 + movq %rdx, %r9 + sbbq $0x0, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r10, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r10 + addq %rbx, %rax + adcq %rdx, %r10 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r11 + sbbq %r10, %r12 + sbbq %rbx, %r13 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + movq %rdx, %r10 + sbbq $0x0, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r11, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r11 + addq %rbx, %rax + adcq %rdx, %r11 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r12 + sbbq %r11, %r13 + sbbq %rbx, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + movq %rdx, %r11 + sbbq $0x0, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r12, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r12 + addq %rbx, %rax + adcq %rdx, %r12 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r13 + sbbq %r12, %r8 + sbbq %rbx, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %r11 + movq %rdx, %r12 + sbbq $0x0, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r13, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r13 + addq %rbx, %rax + adcq %rdx, %r13 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r8 + sbbq %r13, %r9 + sbbq %rbx, %r10 + sbbq $0x0, %r11 + sbbq $0x0, %r12 + movq %rdx, %r13 + sbbq $0x0, %r13 + movq (%rsp), %rbx + addq %r8, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r11, %rbx + adcq %r12, %rbp + adcq %r13, %rdi + movl $0x0, %r8d + adcq %r8, %r8 + xorq %r11, %r11 + xorq %r12, %r12 + xorq %r13, %r13 + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %r9d + adcq %r15, %r9 + movl $0x1, %r10d + adcq %rcx, %r10 + adcq %rbx, %r11 + adcq %rbp, %r12 + adcq %rdi, %r13 + adcq $0x0, %r8 + cmovneq %rax, %r14 + cmovneq %r9, %r15 + cmovneq %r10, %rcx + cmovneq %r11, %rbx + cmovneq %r12, %rbp + cmovneq %r13, %rdi + movq %r14, (%rsp) + movq %r15, 0x8(%rsp) + movq %rcx, 0x10(%rsp) + movq %rbx, 0x18(%rsp) + movq %rbp, 0x20(%rsp) + movq %rdi, 0x28(%rsp) + movq 0x30(%rsi), %rdx + mulxq 0x38(%rsi), %r9, %r10 + mulxq 0x48(%rsi), %r11, %r12 + mulxq 0x58(%rsi), %r13, %r14 + movq 0x48(%rsi), %rdx + mulxq 0x50(%rsi), %r15, %rcx + xorl %ebp, %ebp + movq 0x40(%rsi), %rdx + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x38(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x38(%rsi), %rdx + mulxq 0x48(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x50(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x58(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rbp, %r15 + adoxq %rbp, %rcx + adcq %rbp, %rcx + xorl %ebp, %ebp + movq 0x50(%rsi), %rdx + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq 0x40(%rsi), %rdx + mulxq 0x48(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x50(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x58(%rsi), %rax, %rdx + adcxq %rax, %r15 + adoxq %rdx, %rcx + movq 0x58(%rsi), %rdx + mulxq 0x50(%rsi), %rbx, %rbp + mulxq 0x48(%rsi), %rax, %rdx + adcxq %rax, %rcx + adoxq %rdx, %rbx + movl $0x0, %eax + adcxq %rax, %rbx + adoxq %rax, %rbp + adcq %rax, %rbp + xorq %rax, %rax + movq 0x30(%rsi), %rdx + mulxq 0x30(%rsi), %r8, %rax + adcxq %r9, %r9 + adoxq %rax, %r9 + movq 0x38(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x40(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x48(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %r15, %r15 + adoxq %rdx, %r15 + movq 0x50(%rsi), %rdx + mulxq %rdx, %rax, %rdx + adcxq %rcx, %rcx + adoxq %rax, %rcx + adcxq %rbx, %rbx + adoxq %rdx, %rbx + movq 0x58(%rsi), %rdx + mulxq %rdx, %rax, %rdi + adcxq %rbp, %rbp + adoxq %rax, %rbp + movl $0x0, %eax + adcxq %rax, %rdi + adoxq %rax, %rdi + movq %rbx, 0x30(%rsp) + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r8, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r8 + addq %rbx, %rax + adcq %rdx, %r8 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r9 + sbbq %r8, %r10 + sbbq %rbx, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + movq %rdx, %r8 + sbbq $0x0, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r9, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r9 + addq %rbx, %rax + adcq %rdx, %r9 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r10 + sbbq %r9, %r11 + sbbq %rbx, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r8 + movq %rdx, %r9 + sbbq $0x0, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r10, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r10 + addq %rbx, %rax + adcq %rdx, %r10 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r11 + sbbq %r10, %r12 + sbbq %rbx, %r13 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + movq %rdx, %r10 + sbbq $0x0, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r11, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r11 + addq %rbx, %rax + adcq %rdx, %r11 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r12 + sbbq %r11, %r13 + sbbq %rbx, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + movq %rdx, %r11 + sbbq $0x0, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r12, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r12 + addq %rbx, %rax + adcq %rdx, %r12 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r13 + sbbq %r12, %r8 + sbbq %rbx, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %r11 + movq %rdx, %r12 + sbbq $0x0, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r13, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r13 + addq %rbx, %rax + adcq %rdx, %r13 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r8 + sbbq %r13, %r9 + sbbq %rbx, %r10 + sbbq $0x0, %r11 + sbbq $0x0, %r12 + movq %rdx, %r13 + sbbq $0x0, %r13 + movq 0x30(%rsp), %rbx + addq %r8, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r11, %rbx + adcq %r12, %rbp + adcq %r13, %rdi + movl $0x0, %r8d + adcq %r8, %r8 + xorq %r11, %r11 + xorq %r12, %r12 + xorq %r13, %r13 + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %r9d + adcq %r15, %r9 + movl $0x1, %r10d + adcq %rcx, %r10 + adcq %rbx, %r11 + adcq %rbp, %r12 + adcq %rdi, %r13 + adcq $0x0, %r8 + cmovneq %rax, %r14 + cmovneq %r9, %r15 + cmovneq %r10, %rcx + cmovneq %r11, %rbx + cmovneq %r12, %rbp + cmovneq %r13, %rdi + movq %r14, 0x30(%rsp) + movq %r15, 0x38(%rsp) + movq %rcx, 0x40(%rsp) + movq %rbx, 0x48(%rsp) + movq %rbp, 0x50(%rsp) + movq %rdi, 0x58(%rsp) + movq (%rsi), %rax + addq (%rsp), %rax + movq 0x8(%rsi), %rcx + adcq 0x8(%rsp), %rcx + movq 0x10(%rsi), %r8 + adcq 0x10(%rsp), %r8 + movq 0x18(%rsi), %r9 + adcq 0x18(%rsp), %r9 + movq 0x20(%rsi), %r10 + adcq 0x20(%rsp), %r10 + movq 0x28(%rsi), %r11 + adcq 0x28(%rsp), %r11 + sbbq %rdx, %rdx + movl $0x1, %ebx + andq %rdx, %rbx + movl $0xffffffff, %ebp + andq %rbp, %rdx + xorq %rbp, %rbp + subq %rdx, %rbp + addq %rbp, %rax + movq %rax, 0xf0(%rsp) + adcq %rdx, %rcx + movq %rcx, 0xf8(%rsp) + adcq %rbx, %r8 + movq %r8, 0x100(%rsp) + adcq $0x0, %r9 + movq %r9, 0x108(%rsp) + adcq $0x0, %r10 + movq %r10, 0x110(%rsp) + adcq $0x0, %r11 + movq %r11, 0x118(%rsp) + movq (%rsi), %rax + subq (%rsp), %rax + movq 0x8(%rsi), %rdx + sbbq 0x8(%rsp), %rdx + movq 0x10(%rsi), %r8 + sbbq 0x10(%rsp), %r8 + movq 0x18(%rsi), %r9 + sbbq 0x18(%rsp), %r9 + movq 0x20(%rsi), %r10 + sbbq 0x20(%rsp), %r10 + movq 0x28(%rsi), %r11 + sbbq 0x28(%rsp), %r11 + sbbq %rcx, %rcx + movl $0xffffffff, %ebx + andq %rbx, %rcx + xorq %rbx, %rbx + subq %rcx, %rbx + subq %rbx, %rax + movq %rax, 0xc0(%rsp) + sbbq %rcx, %rdx + movq %rdx, 0xc8(%rsp) + sbbq %rax, %rax + andq %rbx, %rcx + negq %rax + sbbq %rcx, %r8 + movq %r8, 0xd0(%rsp) + sbbq $0x0, %r9 + movq %r9, 0xd8(%rsp) + sbbq $0x0, %r10 + movq %r10, 0xe0(%rsp) + sbbq $0x0, %r11 + movq %r11, 0xe8(%rsp) + movq 0xc0(%rsp), %rdx + xorl %r15d, %r15d + mulxq 0xf0(%rsp), %r8, %r9 + mulxq 0xf8(%rsp), %rbx, %r10 + addq %rbx, %r9 + mulxq 0x100(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x108(%rsp), %rbx, %r12 + adcq %rbx, %r11 + mulxq 0x110(%rsp), %rbx, %r13 + adcq %rbx, %r12 + mulxq 0x118(%rsp), %rbx, %r14 + adcq %rbx, %r13 + adcq %r15, %r14 + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r8, %rbx + adcq %r8, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rbx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rdx + addq %rdx, %r14 + adcq $0x0, %r15 + movq 0xc8(%rsp), %rdx + xorl %r8d, %r8d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r8, %r15 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r8, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r9, %rbx + adcq %r9, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rbx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rdx + addq %rdx, %r15 + adcq $0x0, %r8 + movq 0xd0(%rsp), %rdx + xorl %r9d, %r9d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adoxq %r9, %r8 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r15 + adcq %rbx, %r8 + adcq %r9, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r10, %rbx + adcq %r10, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rbx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rdx + addq %rdx, %r8 + adcq $0x0, %r9 + movq 0xd8(%rsp), %rdx + xorl %r10d, %r10d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + adoxq %r10, %r9 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r8 + adcq %rbx, %r9 + adcq %r10, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r11, %rbx + adcq %r11, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rbx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rdx + addq %rdx, %r9 + adcq $0x0, %r10 + movq 0xe0(%rsp), %rdx + xorl %r11d, %r11d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + adoxq %r11, %r10 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r9 + adcq %rbx, %r10 + adcq %r11, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r12, %rbx + adcq %r12, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rbx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rdx + addq %rdx, %r10 + adcq $0x0, %r11 + movq 0xe8(%rsp), %rdx + xorl %r12d, %r12d + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + adoxq %r12, %r11 + mulxq 0x118(%rsp), %rax, %rbx + adcq %rax, %r10 + adcq %rbx, %r11 + adcq %r12, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r13, %rbx + adcq %r13, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rbx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rdx + addq %rdx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0x60(%rsp) + movq %r15, 0x68(%rsp) + movq %r8, 0x70(%rsp) + movq %r9, 0x78(%rsp) + movq %r10, 0x80(%rsp) + movq %r11, 0x88(%rsp) + movq 0x30(%rsi), %rax + addq 0x60(%rsi), %rax + movq 0x38(%rsi), %rcx + adcq 0x68(%rsi), %rcx + movq 0x40(%rsi), %r8 + adcq 0x70(%rsi), %r8 + movq 0x48(%rsi), %r9 + adcq 0x78(%rsi), %r9 + movq 0x50(%rsi), %r10 + adcq 0x80(%rsi), %r10 + movq 0x58(%rsi), %r11 + adcq 0x88(%rsi), %r11 + movl $0x0, %edx + adcq %rdx, %rdx + movabsq $0xffffffff00000001, %rbp + addq %rbp, %rax + movl $0xffffffff, %ebp + adcq %rbp, %rcx + adcq $0x1, %r8 + adcq $0x0, %r9 + adcq $0x0, %r10 + adcq $0x0, %r11 + adcq $0xffffffffffffffff, %rdx + movl $0x1, %ebx + andq %rdx, %rbx + andq %rbp, %rdx + xorq %rbp, %rbp + subq %rdx, %rbp + subq %rbp, %rax + movq %rax, 0xf0(%rsp) + sbbq %rdx, %rcx + movq %rcx, 0xf8(%rsp) + sbbq %rbx, %r8 + movq %r8, 0x100(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x108(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x110(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x118(%rsp) + movq 0x60(%rsp), %rdx + mulxq 0x68(%rsp), %r9, %r10 + mulxq 0x78(%rsp), %r11, %r12 + mulxq 0x88(%rsp), %r13, %r14 + movq 0x78(%rsp), %rdx + mulxq 0x80(%rsp), %r15, %rcx + xorl %ebp, %ebp + movq 0x70(%rsp), %rdx + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x68(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x68(%rsp), %rdx + mulxq 0x78(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x80(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x88(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rbp, %r15 + adoxq %rbp, %rcx + adcq %rbp, %rcx + xorl %ebp, %ebp + movq 0x80(%rsp), %rdx + mulxq 0x60(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq 0x70(%rsp), %rdx + mulxq 0x78(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x80(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x88(%rsp), %rax, %rdx + adcxq %rax, %r15 + adoxq %rdx, %rcx + movq 0x88(%rsp), %rdx + mulxq 0x80(%rsp), %rbx, %rbp + mulxq 0x78(%rsp), %rax, %rdx + adcxq %rax, %rcx + adoxq %rdx, %rbx + movl $0x0, %eax + adcxq %rax, %rbx + adoxq %rax, %rbp + adcq %rax, %rbp + xorq %rax, %rax + movq 0x60(%rsp), %rdx + mulxq 0x60(%rsp), %r8, %rax + adcxq %r9, %r9 + adoxq %rax, %r9 + movq 0x68(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x70(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x78(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %r15, %r15 + adoxq %rdx, %r15 + movq 0x80(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %rcx, %rcx + adoxq %rax, %rcx + adcxq %rbx, %rbx + adoxq %rdx, %rbx + movq 0x88(%rsp), %rdx + mulxq %rdx, %rax, %rdi + adcxq %rbp, %rbp + adoxq %rax, %rbp + movl $0x0, %eax + adcxq %rax, %rdi + adoxq %rax, %rdi + movq %rbx, 0x120(%rsp) + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r8, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r8 + addq %rbx, %rax + adcq %rdx, %r8 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r9 + sbbq %r8, %r10 + sbbq %rbx, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + movq %rdx, %r8 + sbbq $0x0, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r9, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r9 + addq %rbx, %rax + adcq %rdx, %r9 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r10 + sbbq %r9, %r11 + sbbq %rbx, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r8 + movq %rdx, %r9 + sbbq $0x0, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r10, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r10 + addq %rbx, %rax + adcq %rdx, %r10 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r11 + sbbq %r10, %r12 + sbbq %rbx, %r13 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + movq %rdx, %r10 + sbbq $0x0, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r11, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r11 + addq %rbx, %rax + adcq %rdx, %r11 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r12 + sbbq %r11, %r13 + sbbq %rbx, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + movq %rdx, %r11 + sbbq $0x0, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r12, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r12 + addq %rbx, %rax + adcq %rdx, %r12 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r13 + sbbq %r12, %r8 + sbbq %rbx, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %r11 + movq %rdx, %r12 + sbbq $0x0, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r13, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r13 + addq %rbx, %rax + adcq %rdx, %r13 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r8 + sbbq %r13, %r9 + sbbq %rbx, %r10 + sbbq $0x0, %r11 + sbbq $0x0, %r12 + movq %rdx, %r13 + sbbq $0x0, %r13 + movq 0x120(%rsp), %rbx + addq %r8, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r11, %rbx + adcq %r12, %rbp + adcq %r13, %rdi + movl $0x0, %r8d + adcq %r8, %r8 + xorq %r11, %r11 + xorq %r12, %r12 + xorq %r13, %r13 + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %r9d + adcq %r15, %r9 + movl $0x1, %r10d + adcq %rcx, %r10 + adcq %rbx, %r11 + adcq %rbp, %r12 + adcq %rdi, %r13 + adcq $0x0, %r8 + cmovneq %rax, %r14 + cmovneq %r9, %r15 + cmovneq %r10, %rcx + cmovneq %r11, %rbx + cmovneq %r12, %rbp + cmovneq %r13, %rdi + movq %r14, 0x120(%rsp) + movq %r15, 0x128(%rsp) + movq %rcx, 0x130(%rsp) + movq %rbx, 0x138(%rsp) + movq %rbp, 0x140(%rsp) + movq %rdi, 0x148(%rsp) + movq 0x30(%rsp), %rdx + xorl %r15d, %r15d + mulxq (%rsi), %r8, %r9 + mulxq 0x8(%rsi), %rbx, %r10 + addq %rbx, %r9 + mulxq 0x10(%rsi), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x18(%rsi), %rbx, %r12 + adcq %rbx, %r11 + mulxq 0x20(%rsi), %rbx, %r13 + adcq %rbx, %r12 + mulxq 0x28(%rsi), %rbx, %r14 + adcq %rbx, %r13 + adcq %r15, %r14 + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r8, %rbx + adcq %r8, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rbx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rdx + addq %rdx, %r14 + adcq $0x0, %r15 + movq 0x38(%rsp), %rdx + xorl %r8d, %r8d + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r8, %r15 + mulxq 0x28(%rsi), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r8, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r9, %rbx + adcq %r9, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rbx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rdx + addq %rdx, %r15 + adcq $0x0, %r8 + movq 0x40(%rsp), %rdx + xorl %r9d, %r9d + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adoxq %r9, %r8 + mulxq 0x28(%rsi), %rax, %rbx + adcq %rax, %r15 + adcq %rbx, %r8 + adcq %r9, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r10, %rbx + adcq %r10, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rbx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rdx + addq %rdx, %r8 + adcq $0x0, %r9 + movq 0x48(%rsp), %rdx + xorl %r10d, %r10d + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + adoxq %r10, %r9 + mulxq 0x28(%rsi), %rax, %rbx + adcq %rax, %r8 + adcq %rbx, %r9 + adcq %r10, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r11, %rbx + adcq %r11, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rbx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rdx + addq %rdx, %r9 + adcq $0x0, %r10 + movq 0x50(%rsp), %rdx + xorl %r11d, %r11d + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + adoxq %r11, %r10 + mulxq 0x28(%rsi), %rax, %rbx + adcq %rax, %r9 + adcq %rbx, %r10 + adcq %r11, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r12, %rbx + adcq %r12, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rbx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rdx + addq %rdx, %r10 + adcq $0x0, %r11 + movq 0x58(%rsp), %rdx + xorl %r12d, %r12d + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + adoxq %r12, %r11 + mulxq 0x28(%rsi), %rax, %rbx + adcq %rax, %r10 + adcq %rbx, %r11 + adcq %r12, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r13, %rbx + adcq %r13, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rbx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rdx + addq %rdx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + movq %r8, 0xa0(%rsp) + movq %r9, 0xa8(%rsp) + movq %r10, 0xb0(%rsp) + movq %r11, 0xb8(%rsp) + movq 0xf0(%rsp), %rdx + mulxq 0xf8(%rsp), %r9, %r10 + mulxq 0x108(%rsp), %r11, %r12 + mulxq 0x118(%rsp), %r13, %r14 + movq 0x108(%rsp), %rdx + mulxq 0x110(%rsp), %r15, %rcx + xorl %ebp, %ebp + movq 0x100(%rsp), %rdx + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0xf8(%rsp), %rdx + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x118(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rbp, %r15 + adoxq %rbp, %rcx + adcq %rbp, %rcx + xorl %ebp, %ebp + movq 0x110(%rsp), %rdx + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq 0x100(%rsp), %rdx + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x118(%rsp), %rax, %rdx + adcxq %rax, %r15 + adoxq %rdx, %rcx + movq 0x118(%rsp), %rdx + mulxq 0x110(%rsp), %rbx, %rbp + mulxq 0x108(%rsp), %rax, %rdx + adcxq %rax, %rcx + adoxq %rdx, %rbx + movl $0x0, %eax + adcxq %rax, %rbx + adoxq %rax, %rbp + adcq %rax, %rbp + xorq %rax, %rax + movq 0xf0(%rsp), %rdx + mulxq 0xf0(%rsp), %r8, %rax + adcxq %r9, %r9 + adoxq %rax, %r9 + movq 0xf8(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x100(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x108(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %r15, %r15 + adoxq %rdx, %r15 + movq 0x110(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %rcx, %rcx + adoxq %rax, %rcx + adcxq %rbx, %rbx + adoxq %rdx, %rbx + movq 0x118(%rsp), %rdx + mulxq %rdx, %rax, %rdi + adcxq %rbp, %rbp + adoxq %rax, %rbp + movl $0x0, %eax + adcxq %rax, %rdi + adoxq %rax, %rdi + movq %rbx, 0xc0(%rsp) + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r8, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r8 + addq %rbx, %rax + adcq %rdx, %r8 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r9 + sbbq %r8, %r10 + sbbq %rbx, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + movq %rdx, %r8 + sbbq $0x0, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r9, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r9 + addq %rbx, %rax + adcq %rdx, %r9 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r10 + sbbq %r9, %r11 + sbbq %rbx, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r8 + movq %rdx, %r9 + sbbq $0x0, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r10, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r10 + addq %rbx, %rax + adcq %rdx, %r10 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r11 + sbbq %r10, %r12 + sbbq %rbx, %r13 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + movq %rdx, %r10 + sbbq $0x0, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r11, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r11 + addq %rbx, %rax + adcq %rdx, %r11 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r12 + sbbq %r11, %r13 + sbbq %rbx, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + movq %rdx, %r11 + sbbq $0x0, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r12, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r12 + addq %rbx, %rax + adcq %rdx, %r12 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r13 + sbbq %r12, %r8 + sbbq %rbx, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %r11 + movq %rdx, %r12 + sbbq $0x0, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r13, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r13 + addq %rbx, %rax + adcq %rdx, %r13 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r8 + sbbq %r13, %r9 + sbbq %rbx, %r10 + sbbq $0x0, %r11 + sbbq $0x0, %r12 + movq %rdx, %r13 + sbbq $0x0, %r13 + movq 0xc0(%rsp), %rbx + addq %r8, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r11, %rbx + adcq %r12, %rbp + adcq %r13, %rdi + movl $0x0, %r8d + adcq %r8, %r8 + xorq %r11, %r11 + xorq %r12, %r12 + xorq %r13, %r13 + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %r9d + adcq %r15, %r9 + movl $0x1, %r10d + adcq %rcx, %r10 + adcq %rbx, %r11 + adcq %rbp, %r12 + adcq %rdi, %r13 + adcq $0x0, %r8 + cmovneq %rax, %r14 + cmovneq %r9, %r15 + cmovneq %r10, %rcx + cmovneq %r11, %rbx + cmovneq %r12, %rbp + cmovneq %r13, %rdi + movq %r14, 0xc0(%rsp) + movq %r15, 0xc8(%rsp) + movq %rcx, 0xd0(%rsp) + movq %rbx, 0xd8(%rsp) + movq %rbp, 0xe0(%rsp) + movq %rdi, 0xe8(%rsp) + movabsq $0xffffffff, %r8 + subq 0x120(%rsp), %r8 + movabsq $0xffffffff00000000, %r9 + sbbq 0x128(%rsp), %r9 + movq $0xfffffffffffffffe, %r10 + sbbq 0x130(%rsp), %r10 + movq $0xffffffffffffffff, %r11 + sbbq 0x138(%rsp), %r11 + movq $0xffffffffffffffff, %r12 + sbbq 0x140(%rsp), %r12 + movq $0xffffffffffffffff, %r13 + sbbq 0x148(%rsp), %r13 + movq $0x9, %rdx + mulxq %r8, %r8, %rax + mulxq %r9, %r9, %rcx + addq %rax, %r9 + mulxq %r10, %r10, %rax + adcq %rcx, %r10 + mulxq %r11, %r11, %rcx + adcq %rax, %r11 + mulxq %r12, %r12, %rax + adcq %rcx, %r12 + mulxq %r13, %r13, %r14 + adcq %rax, %r13 + adcq $0x1, %r14 + xorl %ecx, %ecx + movq $0xc, %rdx + mulxq 0x90(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x98(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0xa0(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0xa8(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0xb0(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0xb8(%rsp), %rax, %rdx + adcxq %rax, %r13 + adoxq %r14, %rdx + adcxq %rcx, %rdx + xorq %rcx, %rcx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rax, %rcx + adcxq %rax, %r8 + adoxq %rcx, %r9 + movl $0xffffffff, %eax + mulxq %rax, %rax, %rcx + adcxq %rax, %r9 + adoxq %rcx, %r10 + adcxq %rdx, %r10 + movl $0x0, %eax + movl $0x0, %ecx + adoxq %rax, %rax + adcq %rax, %r11 + adcq %rcx, %r12 + adcq %rcx, %r13 + adcq %rcx, %rcx + subq $0x1, %rcx + movl $0xffffffff, %edx + xorq %rax, %rax + andq %rcx, %rdx + subq %rdx, %rax + andq $0x1, %rcx + subq %rax, %r8 + movq %r8, 0x120(%rsp) + sbbq %rdx, %r9 + movq %r9, 0x128(%rsp) + sbbq %rcx, %r10 + movq %r10, 0x130(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x138(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x140(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x148(%rsp) + movq 0xc0(%rsp), %rax + subq (%rsp), %rax + movq 0xc8(%rsp), %rdx + sbbq 0x8(%rsp), %rdx + movq 0xd0(%rsp), %r8 + sbbq 0x10(%rsp), %r8 + movq 0xd8(%rsp), %r9 + sbbq 0x18(%rsp), %r9 + movq 0xe0(%rsp), %r10 + sbbq 0x20(%rsp), %r10 + movq 0xe8(%rsp), %r11 + sbbq 0x28(%rsp), %r11 + sbbq %rcx, %rcx + movl $0xffffffff, %ebx + andq %rbx, %rcx + xorq %rbx, %rbx + subq %rcx, %rbx + subq %rbx, %rax + movq %rax, 0xf0(%rsp) + sbbq %rcx, %rdx + movq %rdx, 0xf8(%rsp) + sbbq %rax, %rax + andq %rbx, %rcx + negq %rax + sbbq %rcx, %r8 + movq %r8, 0x100(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x108(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x110(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x118(%rsp) + movq 0x30(%rsp), %rdx + mulxq 0x38(%rsp), %r9, %r10 + mulxq 0x48(%rsp), %r11, %r12 + mulxq 0x58(%rsp), %r13, %r14 + movq 0x48(%rsp), %rdx + mulxq 0x50(%rsp), %r15, %rcx + xorl %ebp, %ebp + movq 0x40(%rsp), %rdx + mulxq 0x30(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x38(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq 0x38(%rsp), %rdx + mulxq 0x48(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x50(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x58(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adcxq %rbp, %r15 + adoxq %rbp, %rcx + adcq %rbp, %rcx + xorl %ebp, %ebp + movq 0x50(%rsp), %rdx + mulxq 0x30(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq 0x40(%rsp), %rdx + mulxq 0x48(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x50(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x58(%rsp), %rax, %rdx + adcxq %rax, %r15 + adoxq %rdx, %rcx + movq 0x58(%rsp), %rdx + mulxq 0x50(%rsp), %rbx, %rbp + mulxq 0x48(%rsp), %rax, %rdx + adcxq %rax, %rcx + adoxq %rdx, %rbx + movl $0x0, %eax + adcxq %rax, %rbx + adoxq %rax, %rbp + adcq %rax, %rbp + xorq %rax, %rax + movq 0x30(%rsp), %rdx + mulxq 0x30(%rsp), %r8, %rax + adcxq %r9, %r9 + adoxq %rax, %r9 + movq 0x38(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r10, %r10 + adoxq %rax, %r10 + adcxq %r11, %r11 + adoxq %rdx, %r11 + movq 0x40(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r12, %r12 + adoxq %rax, %r12 + adcxq %r13, %r13 + adoxq %rdx, %r13 + movq 0x48(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %r14, %r14 + adoxq %rax, %r14 + adcxq %r15, %r15 + adoxq %rdx, %r15 + movq 0x50(%rsp), %rdx + mulxq %rdx, %rax, %rdx + adcxq %rcx, %rcx + adoxq %rax, %rcx + adcxq %rbx, %rbx + adoxq %rdx, %rbx + movq 0x58(%rsp), %rdx + mulxq %rdx, %rax, %rdi + adcxq %rbp, %rbp + adoxq %rax, %rbp + movl $0x0, %eax + adcxq %rax, %rdi + adoxq %rax, %rdi + movq %rbx, 0xc0(%rsp) + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r8, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r8 + addq %rbx, %rax + adcq %rdx, %r8 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r9 + sbbq %r8, %r10 + sbbq %rbx, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + movq %rdx, %r8 + sbbq $0x0, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r9, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r9 + addq %rbx, %rax + adcq %rdx, %r9 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r10 + sbbq %r9, %r11 + sbbq %rbx, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r8 + movq %rdx, %r9 + sbbq $0x0, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r10, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r10 + addq %rbx, %rax + adcq %rdx, %r10 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r11 + sbbq %r10, %r12 + sbbq %rbx, %r13 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + movq %rdx, %r10 + sbbq $0x0, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r11, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r11 + addq %rbx, %rax + adcq %rdx, %r11 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r12 + sbbq %r11, %r13 + sbbq %rbx, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + movq %rdx, %r11 + sbbq $0x0, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r12, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r12 + addq %rbx, %rax + adcq %rdx, %r12 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r13 + sbbq %r12, %r8 + sbbq %rbx, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %r11 + movq %rdx, %r12 + sbbq $0x0, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %r13, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %rbx, %r13 + addq %rbx, %rax + adcq %rdx, %r13 + movl $0x0, %ebx + adcq %rbx, %rbx + subq %rax, %r8 + sbbq %r13, %r9 + sbbq %rbx, %r10 + sbbq $0x0, %r11 + sbbq $0x0, %r12 + movq %rdx, %r13 + sbbq $0x0, %r13 + movq 0xc0(%rsp), %rbx + addq %r8, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r11, %rbx + adcq %r12, %rbp + adcq %r13, %rdi + movl $0x0, %r8d + adcq %r8, %r8 + xorq %r11, %r11 + xorq %r12, %r12 + xorq %r13, %r13 + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %r9d + adcq %r15, %r9 + movl $0x1, %r10d + adcq %rcx, %r10 + adcq %rbx, %r11 + adcq %rbp, %r12 + adcq %rdi, %r13 + adcq $0x0, %r8 + cmovneq %rax, %r14 + cmovneq %r9, %r15 + cmovneq %r10, %rcx + cmovneq %r11, %rbx + cmovneq %r12, %rbp + cmovneq %r13, %rdi + movq %r14, 0xc0(%rsp) + movq %r15, 0xc8(%rsp) + movq %rcx, 0xd0(%rsp) + movq %rbx, 0xd8(%rsp) + movq %rbp, 0xe0(%rsp) + movq %rdi, 0xe8(%rsp) + movq 0x150(%rsp), %rdi + movq 0xf0(%rsp), %rax + subq 0x30(%rsp), %rax + movq 0xf8(%rsp), %rdx + sbbq 0x38(%rsp), %rdx + movq 0x100(%rsp), %r8 + sbbq 0x40(%rsp), %r8 + movq 0x108(%rsp), %r9 + sbbq 0x48(%rsp), %r9 + movq 0x110(%rsp), %r10 + sbbq 0x50(%rsp), %r10 + movq 0x118(%rsp), %r11 + sbbq 0x58(%rsp), %r11 + sbbq %rcx, %rcx + movl $0xffffffff, %ebx + andq %rbx, %rcx + xorq %rbx, %rbx + subq %rcx, %rbx + subq %rbx, %rax + movq %rax, 0x60(%rdi) + sbbq %rcx, %rdx + movq %rdx, 0x68(%rdi) + sbbq %rax, %rax + andq %rbx, %rcx + negq %rax + sbbq %rcx, %r8 + movq %r8, 0x70(%rdi) + sbbq $0x0, %r9 + movq %r9, 0x78(%rdi) + sbbq $0x0, %r10 + movq %r10, 0x80(%rdi) + sbbq $0x0, %r11 + movq %r11, 0x88(%rdi) + movq 0x60(%rsp), %rdx + xorl %r15d, %r15d + mulxq 0x120(%rsp), %r8, %r9 + mulxq 0x128(%rsp), %rbx, %r10 + addq %rbx, %r9 + mulxq 0x130(%rsp), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x138(%rsp), %rbx, %r12 + adcq %rbx, %r11 + mulxq 0x140(%rsp), %rbx, %r13 + adcq %rbx, %r12 + mulxq 0x148(%rsp), %rbx, %r14 + adcq %rbx, %r13 + adcq %r15, %r14 + movq %r8, %rdx + shlq $0x20, %rdx + addq %r8, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r8, %rbx + adcq %r8, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rbx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rdx + addq %rdx, %r14 + adcq $0x0, %r15 + movq 0x68(%rsp), %rdx + xorl %r8d, %r8d + mulxq 0x120(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x128(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x130(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x138(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x140(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + adoxq %r8, %r15 + mulxq 0x148(%rsp), %rax, %rbx + adcq %rax, %r14 + adcq %rbx, %r15 + adcq %r8, %r8 + movq %r9, %rdx + shlq $0x20, %rdx + addq %r9, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r9, %rbx + adcq %r9, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rbx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rdx + addq %rdx, %r15 + adcq $0x0, %r8 + movq 0x70(%rsp), %rdx + xorl %r9d, %r9d + mulxq 0x120(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x128(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x130(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x138(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x140(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + adoxq %r9, %r8 + mulxq 0x148(%rsp), %rax, %rbx + adcq %rax, %r15 + adcq %rbx, %r8 + adcq %r9, %r9 + movq %r10, %rdx + shlq $0x20, %rdx + addq %r10, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r10, %rbx + adcq %r10, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rbx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rdx + addq %rdx, %r8 + adcq $0x0, %r9 + movq 0x78(%rsp), %rdx + xorl %r10d, %r10d + mulxq 0x120(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x128(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x130(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x138(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x140(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + adoxq %r10, %r9 + mulxq 0x148(%rsp), %rax, %rbx + adcq %rax, %r8 + adcq %rbx, %r9 + adcq %r10, %r10 + movq %r11, %rdx + shlq $0x20, %rdx + addq %r11, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r11, %rbx + adcq %r11, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rbx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rdx + addq %rdx, %r9 + adcq $0x0, %r10 + movq 0x80(%rsp), %rdx + xorl %r11d, %r11d + mulxq 0x120(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x128(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x130(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x138(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x140(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + adoxq %r11, %r10 + mulxq 0x148(%rsp), %rax, %rbx + adcq %rax, %r9 + adcq %rbx, %r10 + adcq %r11, %r11 + movq %r12, %rdx + shlq $0x20, %rdx + addq %r12, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r12, %rbx + adcq %r12, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rbx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rdx + addq %rdx, %r10 + adcq $0x0, %r11 + movq 0x88(%rsp), %rdx + xorl %r12d, %r12d + mulxq 0x120(%rsp), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x128(%rsp), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x130(%rsp), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x138(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x140(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + adoxq %r12, %r11 + mulxq 0x148(%rsp), %rax, %rbx + adcq %rax, %r10 + adcq %rbx, %r11 + adcq %r12, %r12 + movq %r13, %rdx + shlq $0x20, %rdx + addq %r13, %rdx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rbx, %rax + movl $0xffffffff, %ebx + mulxq %rbx, %r13, %rbx + adcq %r13, %rax + adcq %rdx, %rbx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rbx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rdx + addq %rdx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0xf0(%rsp) + movq %r15, 0xf8(%rsp) + movq %r8, 0x100(%rsp) + movq %r9, 0x108(%rsp) + movq %r10, 0x110(%rsp) + movq %r11, 0x118(%rsp) + movq 0xb8(%rsp), %rdx + movq %rdx, %r13 + shrq $0x3e, %rdx + movq 0xb0(%rsp), %r12 + shldq $0x2, %r12, %r13 + movq 0xa8(%rsp), %r11 + shldq $0x2, %r11, %r12 + movq 0xa0(%rsp), %r10 + shldq $0x2, %r10, %r11 + movq 0x98(%rsp), %r9 + shldq $0x2, %r9, %r10 + movq 0x90(%rsp), %r8 + shldq $0x2, %r8, %r9 + shlq $0x2, %r8 + addq $0x1, %rdx + subq 0x120(%rsp), %r8 + sbbq 0x128(%rsp), %r9 + sbbq 0x130(%rsp), %r10 + sbbq 0x138(%rsp), %r11 + sbbq 0x140(%rsp), %r12 + sbbq 0x148(%rsp), %r13 + sbbq $0x0, %rdx + xorq %rcx, %rcx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rax, %rcx + adcxq %rax, %r8 + adoxq %rcx, %r9 + movl $0xffffffff, %eax + mulxq %rax, %rax, %rcx + adcxq %rax, %r9 + adoxq %rcx, %r10 + adcxq %rdx, %r10 + movl $0x0, %eax + movl $0x0, %ecx + adoxq %rax, %rax + adcq %rax, %r11 + adcq %rcx, %r12 + adcq %rcx, %r13 + adcq %rcx, %rcx + subq $0x1, %rcx + movl $0xffffffff, %edx + xorq %rax, %rax + andq %rcx, %rdx + subq %rdx, %rax + andq $0x1, %rcx + subq %rax, %r8 + movq %r8, (%rdi) + sbbq %rdx, %r9 + movq %r9, 0x8(%rdi) + sbbq %rcx, %r10 + movq %r10, 0x10(%rdi) + sbbq $0x0, %r11 + movq %r11, 0x18(%rdi) + sbbq $0x0, %r12 + movq %r12, 0x20(%rdi) + sbbq $0x0, %r13 + movq %r13, 0x28(%rdi) + movabsq $0xffffffff, %r8 + subq 0xc0(%rsp), %r8 + movabsq $0xffffffff00000000, %r9 + sbbq 0xc8(%rsp), %r9 + movq $0xfffffffffffffffe, %r10 + sbbq 0xd0(%rsp), %r10 + movq $0xffffffffffffffff, %r11 + sbbq 0xd8(%rsp), %r11 + movq $0xffffffffffffffff, %r12 + sbbq 0xe0(%rsp), %r12 + movq $0xffffffffffffffff, %r13 + sbbq 0xe8(%rsp), %r13 + movq %r13, %r14 + shrq $0x3d, %r14 + shldq $0x3, %r12, %r13 + shldq $0x3, %r11, %r12 + shldq $0x3, %r10, %r11 + shldq $0x3, %r9, %r10 + shldq $0x3, %r8, %r9 + shlq $0x3, %r8 + addq $0x1, %r14 + xorl %ecx, %ecx + movq $0x3, %rdx + mulxq 0xf0(%rsp), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0xf8(%rsp), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x100(%rsp), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x108(%rsp), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x110(%rsp), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x118(%rsp), %rax, %rdx + adcxq %rax, %r13 + adoxq %r14, %rdx + adcxq %rcx, %rdx + xorq %rcx, %rcx + movabsq $0xffffffff00000001, %rax + mulxq %rax, %rax, %rcx + adcxq %rax, %r8 + adoxq %rcx, %r9 + movl $0xffffffff, %eax + mulxq %rax, %rax, %rcx + adcxq %rax, %r9 + adoxq %rcx, %r10 + adcxq %rdx, %r10 + movl $0x0, %eax + movl $0x0, %ecx + adoxq %rax, %rax + adcq %rax, %r11 + adcq %rcx, %r12 + adcq %rcx, %r13 + adcq %rcx, %rcx + subq $0x1, %rcx + movl $0xffffffff, %edx + xorq %rax, %rax + andq %rcx, %rdx + subq %rdx, %rax + andq $0x1, %rcx + subq %rax, %r8 + movq %r8, 0x30(%rdi) + sbbq %rdx, %r9 + movq %r9, 0x38(%rdi) + sbbq %rcx, %r10 + movq %r10, 0x40(%rdi) + sbbq $0x0, %r11 + movq %r11, 0x48(%rdi) + sbbq $0x0, %r12 + movq %r12, 0x50(%rdi) + sbbq $0x0, %r13 + movq %r13, 0x58(%rdi) + CFI_INC_RSP(344) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp384_montjscalarmul_p384_montjdouble) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/x86_att/p384_montjscalarmul_alt.S b/cbits/s2n/x86_att/p384_montjscalarmul_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/p384_montjscalarmul_alt.S @@ -0,0 +1,9440 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Montgomery-Jacobian form scalar multiplication for P-384 +// Input scalar[6], point[18]; output res[18] +// +// extern void p384_montjscalarmul_alt +// (uint64_t res[static 18], +// const uint64_t scalar[static 6], +// const uint64_t point[static 18]); +// +// This function is a variant of its affine point version p384_scalarmul. +// Here, input and output points are assumed to be in Jacobian form with +// their coordinates in the Montgomery domain. Thus, if priming indicates +// Montgomery form, x' = (2^384 * x) mod p_384 etc., each point argument +// is a triple (x',y',z') representing the affine point (x/z^2,y/z^3) when +// z' is nonzero or the point at infinity (group identity) if z' = 0. +// +// Given scalar = n and point = P, assumed to be on the NIST elliptic +// curve P-384, returns a representation of n * P. If the result is the +// point at infinity (either because the input point was or because the +// scalar was a multiple of p_384) then the output is guaranteed to +// represent the point at infinity, i.e. to have its z coordinate zero. +// +// Standard x86-64 ABI: RDI = res, RSI = scalar, RDX = point +// Microsoft x64 ABI: RCX = res, RDX = scalar, R8 = point +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p384_montjscalarmul_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p384_montjscalarmul_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p384_montjscalarmul_alt) + + + .text + .balign 32 + +// Size of individual field elements + +#define NUMSIZE 48 +#define JACSIZE (3*NUMSIZE) + +// Intermediate variables on the stack. +// The table is 16 entries, each of size JACSIZE = 3 * NUMSIZE +// Uppercase syntactic variants make x86_att version simpler to generate. + +#define SCALARB (0*NUMSIZE) +#define scalarb (0*NUMSIZE)(%rsp) +#define ACC (1*NUMSIZE) +#define acc (1*NUMSIZE)(%rsp) +#define TABENT (4*NUMSIZE) +#define tabent (4*NUMSIZE)(%rsp) + +#define TAB (7*NUMSIZE) +#define tab (7*NUMSIZE)(%rsp) + +#define res (55*NUMSIZE)(%rsp) + +#define NSPACE 56*NUMSIZE + +// Avoid using .rep for the sake of the BoringSSL/AWS-LC delocator, +// which doesn't accept repetitions, assembler macros etc. + +#define selectblock_xz(I) \ + cmpq $I, %rdi ; \ + cmovzq TAB+JACSIZE*(I-1)(%rsp), %rax ; \ + cmovzq TAB+JACSIZE*(I-1)+8(%rsp), %rbx ; \ + cmovzq TAB+JACSIZE*(I-1)+16(%rsp), %rcx ; \ + cmovzq TAB+JACSIZE*(I-1)+24(%rsp), %rdx ; \ + cmovzq TAB+JACSIZE*(I-1)+32(%rsp), %r8 ; \ + cmovzq TAB+JACSIZE*(I-1)+40(%rsp), %r9 ; \ + cmovzq TAB+JACSIZE*(I-1)+96(%rsp), %r10 ; \ + cmovzq TAB+JACSIZE*(I-1)+104(%rsp), %r11 ; \ + cmovzq TAB+JACSIZE*(I-1)+112(%rsp), %r12 ; \ + cmovzq TAB+JACSIZE*(I-1)+120(%rsp), %r13 ; \ + cmovzq TAB+JACSIZE*(I-1)+128(%rsp), %r14 ; \ + cmovzq TAB+JACSIZE*(I-1)+136(%rsp), %r15 + +#define selectblock_y(I) \ + cmpq $I, %rdi ; \ + cmovzq TAB+JACSIZE*(I-1)+48(%rsp), %rax ; \ + cmovzq TAB+JACSIZE*(I-1)+56(%rsp), %rbx ; \ + cmovzq TAB+JACSIZE*(I-1)+64(%rsp), %rcx ; \ + cmovzq TAB+JACSIZE*(I-1)+72(%rsp), %rdx ; \ + cmovzq TAB+JACSIZE*(I-1)+80(%rsp), %r8 ; \ + cmovzq TAB+JACSIZE*(I-1)+88(%rsp), %r9 + +S2N_BN_SYMBOL(p384_montjscalarmul_alt): + CFI_START + _CET_ENDBR + +// The Windows version literally calls the standard ABI version. +// This simplifies the proofs since subroutine offsets are fixed. + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx + CFI_CALL(Lp384_montjscalarmul_alt_standard) + CFI_POP(%rsi) + CFI_POP(%rdi) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p384_montjscalarmul_alt) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp384_montjscalarmul_alt_standard) + +Lp384_montjscalarmul_alt_standard: + CFI_START +#endif + +// Real start of the standard ABI code. + + CFI_PUSH(%r15) + CFI_PUSH(%r14) + CFI_PUSH(%r13) + CFI_PUSH(%r12) + CFI_PUSH(%rbp) + CFI_PUSH(%rbx) + + CFI_DEC_RSP(NSPACE) + +// Preserve the "res" input argument; others get processed early. + + movq %rdi, res + +// Reduce the input scalar mod n_384, i.e. conditionally subtract n_384. +// Store it to "scalarb". + + movq (%rsi), %r8 + movq $0xecec196accc52973, %rax + subq %rax, %r8 + movq 8(%rsi), %r9 + movq $0x581a0db248b0a77a, %rax + sbbq %rax, %r9 + movq 16(%rsi), %r10 + movq $0xc7634d81f4372ddf, %rax + sbbq %rax, %r10 + movq 24(%rsi), %r11 + movq $0xffffffffffffffff, %rax + sbbq %rax, %r11 + movq 32(%rsi), %r12 + sbbq %rax, %r12 + movq 40(%rsi), %r13 + sbbq %rax, %r13 + + cmovcq (%rsi), %r8 + cmovcq 8(%rsi), %r9 + cmovcq 16(%rsi), %r10 + cmovcq 24(%rsi), %r11 + cmovcq 32(%rsi), %r12 + cmovcq 40(%rsi), %r13 + + movq %r8, SCALARB(%rsp) + movq %r9, SCALARB+8(%rsp) + movq %r10, SCALARB+16(%rsp) + movq %r11, SCALARB+24(%rsp) + movq %r12, SCALARB+32(%rsp) + movq %r13, SCALARB+40(%rsp) + +// Set the tab[0] table entry to the input point = 1 * P + + movq (%rdx), %rax + movq %rax, TAB(%rsp) + movq 8(%rdx), %rax + movq %rax, TAB+8(%rsp) + movq 16(%rdx), %rax + movq %rax, TAB+16(%rsp) + movq 24(%rdx), %rax + movq %rax, TAB+24(%rsp) + movq 32(%rdx), %rax + movq %rax, TAB+32(%rsp) + movq 40(%rdx), %rax + movq %rax, TAB+40(%rsp) + + movq 48(%rdx), %rax + movq %rax, TAB+48(%rsp) + movq 56(%rdx), %rax + movq %rax, TAB+56(%rsp) + movq 64(%rdx), %rax + movq %rax, TAB+64(%rsp) + movq 72(%rdx), %rax + movq %rax, TAB+72(%rsp) + movq 80(%rdx), %rax + movq %rax, TAB+80(%rsp) + movq 88(%rdx), %rax + movq %rax, TAB+88(%rsp) + + movq 96(%rdx), %rax + movq %rax, TAB+96(%rsp) + movq 104(%rdx), %rax + movq %rax, TAB+104(%rsp) + movq 112(%rdx), %rax + movq %rax, TAB+112(%rsp) + movq 120(%rdx), %rax + movq %rax, TAB+120(%rsp) + movq 128(%rdx), %rax + movq %rax, TAB+128(%rsp) + movq 136(%rdx), %rax + movq %rax, TAB+136(%rsp) + +// Compute and record tab[1] = 2 * p, ..., tab[15] = 16 * P + + leaq TAB+JACSIZE*1(%rsp), %rdi + leaq TAB(%rsp), %rsi + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjdouble) + + leaq TAB+JACSIZE*2(%rsp), %rdi + leaq TAB+JACSIZE*1(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjadd) + + leaq TAB+JACSIZE*3(%rsp), %rdi + leaq TAB+JACSIZE*1(%rsp), %rsi + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjdouble) + + leaq TAB+JACSIZE*4(%rsp), %rdi + leaq TAB+JACSIZE*3(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjadd) + + leaq TAB+JACSIZE*5(%rsp), %rdi + leaq TAB+JACSIZE*2(%rsp), %rsi + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjdouble) + + leaq TAB+JACSIZE*6(%rsp), %rdi + leaq TAB+JACSIZE*5(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjadd) + + leaq TAB+JACSIZE*7(%rsp), %rdi + leaq TAB+JACSIZE*3(%rsp), %rsi + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjdouble) + + leaq TAB+JACSIZE*8(%rsp), %rdi + leaq TAB+JACSIZE*7(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjadd) + + leaq TAB+JACSIZE*9(%rsp), %rdi + leaq TAB+JACSIZE*4(%rsp), %rsi + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjdouble) + + leaq TAB+JACSIZE*10(%rsp), %rdi + leaq TAB+JACSIZE*9(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjadd) + + leaq TAB+JACSIZE*11(%rsp), %rdi + leaq TAB+JACSIZE*5(%rsp), %rsi + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjdouble) + + leaq TAB+JACSIZE*12(%rsp), %rdi + leaq TAB+JACSIZE*11(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjadd) + + leaq TAB+JACSIZE*13(%rsp), %rdi + leaq TAB+JACSIZE*6(%rsp), %rsi + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjdouble) + + leaq TAB+JACSIZE*14(%rsp), %rdi + leaq TAB+JACSIZE*13(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjadd) + + leaq TAB+JACSIZE*15(%rsp), %rdi + leaq TAB+JACSIZE*7(%rsp), %rsi + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjdouble) + +// Add the recoding constant sum_i(16 * 32^i) to the scalar to allow signed +// digits. The digits of the constant, in lowest-to-highest order, are as +// follows; they are generated dynamically to use fewer large constant loads. +// +// 0x0842108421084210 +// 0x1084210842108421 +// 0x2108421084210842 +// 0x4210842108421084 +// 0x8421084210842108 +// 0x0842108421084210 + + movq $0x1084210842108421, %rax + movq %rax, %rcx + shrq $1, %rax + movq SCALARB(%rsp), %r8 + addq %rax, %r8 + movq SCALARB+8(%rsp), %r9 + adcq %rcx, %r9 + leaq (%rcx,%rcx), %rcx + movq SCALARB+16(%rsp), %r10 + adcq %rcx, %r10 + leaq (%rcx,%rcx), %rcx + movq SCALARB+24(%rsp), %r11 + adcq %rcx, %r11 + leaq (%rcx,%rcx), %rcx + movq SCALARB+32(%rsp), %r12 + adcq %rcx, %r12 + movq SCALARB+40(%rsp), %r13 + adcq %rax, %r13 + sbbq %rdi, %rdi + negq %rdi + +// Record the top bitfield in %rdi then shift the whole scalar left 4 bits +// to align the top of the next bitfield with the MSB (bits 379..383). + + shldq $4, %r13, %rdi + shldq $4, %r12, %r13 + shldq $4, %r11, %r12 + shldq $4, %r10, %r11 + shldq $4, %r9, %r10 + shldq $4, %r8, %r9 + shlq $4, %r8 + + movq %r8, SCALARB(%rsp) + movq %r9, SCALARB+8(%rsp) + movq %r10, SCALARB+16(%rsp) + movq %r11, SCALARB+24(%rsp) + movq %r12, SCALARB+32(%rsp) + movq %r13, SCALARB+40(%rsp) + +// Initialize the accumulator to the corresponding entry using constant-time +// lookup in the table. This top digit, uniquely, is not recoded so there is +// no sign adjustment to make. On the x86 integer side we don't have enough +// registers to hold all the fields; this could be better done with SIMD +// registers anyway. So we do x and z coordinates in one sweep, y in another +// (this is a rehearsal for below where we might need to negate the y). + + xorl %eax, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + xorl %r8d, %r8d + xorl %r9d, %r9d + xorl %r10d, %r10d + xorl %r11d, %r11d + xorl %r12d, %r12d + xorl %r13d, %r13d + xorl %r14d, %r14d + xorl %r15d, %r15d + + selectblock_xz(1) + selectblock_xz(2) + selectblock_xz(3) + selectblock_xz(4) + selectblock_xz(5) + selectblock_xz(6) + selectblock_xz(7) + selectblock_xz(8) + selectblock_xz(9) + selectblock_xz(10) + selectblock_xz(11) + selectblock_xz(12) + selectblock_xz(13) + selectblock_xz(14) + selectblock_xz(15) + selectblock_xz(16) + + movq %rax, ACC(%rsp) + movq %rbx, ACC+8(%rsp) + movq %rcx, ACC+16(%rsp) + movq %rdx, ACC+24(%rsp) + movq %r8, ACC+32(%rsp) + movq %r9, ACC+40(%rsp) + movq %r10, ACC+96(%rsp) + movq %r11, ACC+104(%rsp) + movq %r12, ACC+112(%rsp) + movq %r13, ACC+120(%rsp) + movq %r14, ACC+128(%rsp) + movq %r15, ACC+136(%rsp) + + xorl %eax, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + xorl %r8d, %r8d + xorl %r9d, %r9d + + selectblock_y(1) + selectblock_y(2) + selectblock_y(3) + selectblock_y(4) + selectblock_y(5) + selectblock_y(6) + selectblock_y(7) + selectblock_y(8) + selectblock_y(9) + selectblock_y(10) + selectblock_y(11) + selectblock_y(12) + selectblock_y(13) + selectblock_y(14) + selectblock_y(15) + selectblock_y(16) + + movq %rax, ACC+48(%rsp) + movq %rbx, ACC+56(%rsp) + movq %rcx, ACC+64(%rsp) + movq %rdx, ACC+72(%rsp) + movq %r8, ACC+80(%rsp) + movq %r9, ACC+88(%rsp) + +// Main loop over size-5 bitfields: double 5 times then add signed digit +// At each stage we shift the scalar left by 5 bits so we can simply pick +// the top 5 bits as the bitfield, saving some fiddle over indexing. + + movl $380, %ebp + +Lp384_montjscalarmul_alt_mainloop: + subq $5, %rbp + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjdouble) + +// Choose the bitfield and adjust it to sign and magnitude + + movq SCALARB(%rsp), %r8 + movq SCALARB+8(%rsp), %r9 + movq SCALARB+16(%rsp), %r10 + movq SCALARB+24(%rsp), %r11 + movq SCALARB+32(%rsp), %r12 + movq SCALARB+40(%rsp), %r13 + + movq %r13, %rdi + shrq $59, %rdi + shldq $5, %r12, %r13 + shldq $5, %r11, %r12 + shldq $5, %r10, %r11 + shldq $5, %r9, %r10 + shldq $5, %r8, %r9 + shlq $5, %r8 + + movq %r8, SCALARB(%rsp) + movq %r9, SCALARB+8(%rsp) + movq %r10, SCALARB+16(%rsp) + movq %r11, SCALARB+24(%rsp) + movq %r12, SCALARB+32(%rsp) + movq %r13, SCALARB+40(%rsp) + + subq $16, %rdi + sbbq %rsi, %rsi // %rsi = sign of digit (-1 = negative) + xorq %rsi, %rdi + subq %rsi, %rdi // %rdi = absolute value of digit + +// Conditionally select the table entry tab[i-1] = i * P in constant time +// Again, this is done in two sweeps, first doing x and z then y. + + xorl %eax, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + xorl %r8d, %r8d + xorl %r9d, %r9d + xorl %r10d, %r10d + xorl %r11d, %r11d + xorl %r12d, %r12d + xorl %r13d, %r13d + xorl %r14d, %r14d + xorl %r15d, %r15d + +selectblock_xz(1) + selectblock_xz(2) + selectblock_xz(3) + selectblock_xz(4) + selectblock_xz(5) + selectblock_xz(6) + selectblock_xz(7) + selectblock_xz(8) + selectblock_xz(9) + selectblock_xz(10) + selectblock_xz(11) + selectblock_xz(12) + selectblock_xz(13) + selectblock_xz(14) + selectblock_xz(15) + selectblock_xz(16) + + movq %rax, TABENT(%rsp) + movq %rbx, TABENT+8(%rsp) + movq %rcx, TABENT+16(%rsp) + movq %rdx, TABENT+24(%rsp) + movq %r8, TABENT+32(%rsp) + movq %r9, TABENT+40(%rsp) + movq %r10, TABENT+96(%rsp) + movq %r11, TABENT+104(%rsp) + movq %r12, TABENT+112(%rsp) + movq %r13, TABENT+120(%rsp) + movq %r14, TABENT+128(%rsp) + movq %r15, TABENT+136(%rsp) + + xorl %eax, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + xorl %r8d, %r8d + xorl %r9d, %r9d + + selectblock_y(1) + selectblock_y(2) + selectblock_y(3) + selectblock_y(4) + selectblock_y(5) + selectblock_y(6) + selectblock_y(7) + selectblock_y(8) + selectblock_y(9) + selectblock_y(10) + selectblock_y(11) + selectblock_y(12) + selectblock_y(13) + selectblock_y(14) + selectblock_y(15) + selectblock_y(16) + +// Store it to "tabent" with the y coordinate optionally negated. +// This is done carefully to give coordinates < p_384 even in +// the degenerate case y = 0 (when z = 0 for points on the curve). +// The digits of the prime p_384 are generated dynamically from +// the zeroth via not/lea to reduce the number of constant loads. + + movq %rax, %r10 + orq %rbx, %r10 + movq %rcx, %r11 + orq %rdx, %r11 + movq %r8, %r12 + orq %r9, %r12 + orq %r11, %r10 + orq %r12, %r10 + cmovzq %r10, %rsi + + movl $0xffffffff, %r10d + movq %r10, %r11 + notq %r11 + leaq (%r10,%r11), %r13 + subq %rax, %r10 + leaq -1(%r13), %r12 + sbbq %rbx, %r11 + movq %r13, %r14 + sbbq %rcx, %r12 + sbbq %rdx, %r13 + movq %r14, %r15 + sbbq %r8, %r14 + sbbq %r9, %r15 + + testq %rsi, %rsi + cmovnzq %r10, %rax + cmovnzq %r11, %rbx + cmovnzq %r12, %rcx + cmovnzq %r13, %rdx + cmovnzq %r14, %r8 + cmovnzq %r15, %r9 + + movq %rax, TABENT+48(%rsp) + movq %rbx, TABENT+56(%rsp) + movq %rcx, TABENT+64(%rsp) + movq %rdx, TABENT+72(%rsp) + movq %r8, TABENT+80(%rsp) + movq %r9, TABENT+88(%rsp) + +// Add to the accumulator + + leaq TABENT(%rsp), %rdx + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp384_montjscalarmul_alt_p384_montjadd) + + testq %rbp, %rbp + jne Lp384_montjscalarmul_alt_mainloop + +// That's the end of the main loop, and we just need to copy the +// result in "acc" to the output. + + movq res, %rdi + movq ACC(%rsp), %rax + movq %rax, (%rdi) + movq ACC+8(%rsp), %rax + movq %rax, 8(%rdi) + movq ACC+16(%rsp), %rax + movq %rax, 16(%rdi) + movq ACC+24(%rsp), %rax + movq %rax, 24(%rdi) + movq ACC+32(%rsp), %rax + movq %rax, 32(%rdi) + movq ACC+40(%rsp), %rax + movq %rax, 40(%rdi) + movq ACC+48(%rsp), %rax + movq %rax, 48(%rdi) + movq ACC+56(%rsp), %rax + movq %rax, 56(%rdi) + movq ACC+64(%rsp), %rax + movq %rax, 64(%rdi) + movq ACC+72(%rsp), %rax + movq %rax, 72(%rdi) + movq ACC+80(%rsp), %rax + movq %rax, 80(%rdi) + movq ACC+88(%rsp), %rax + movq %rax, 88(%rdi) + movq ACC+96(%rsp), %rax + movq %rax, 96(%rdi) + movq ACC+104(%rsp), %rax + movq %rax, 104(%rdi) + movq ACC+112(%rsp), %rax + movq %rax, 112(%rdi) + movq ACC+120(%rsp), %rax + movq %rax, 120(%rdi) + movq ACC+128(%rsp), %rax + movq %rax, 128(%rdi) + movq ACC+136(%rsp), %rax + movq %rax, 136(%rdi) + +// Restore stack and registers and return + + CFI_INC_RSP(NSPACE) + CFI_POP(%rbx) + CFI_POP(%rbp) + CFI_POP(%r12) + CFI_POP(%r13) + CFI_POP(%r14) + CFI_POP(%r15) + CFI_RET + +#if WINDOWS_ABI +S2N_BN_SIZE_DIRECTIVE(Lp384_montjscalarmul_alt_standard) +#else +S2N_BN_SIZE_DIRECTIVE(p384_montjscalarmul_alt) +#endif + +// Local copies of subroutines, complete clones at the moment + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp384_montjscalarmul_alt_p384_montjadd) + +Lp384_montjscalarmul_alt_p384_montjadd: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(352) + movq %rsi, 0x150(%rsp) + movq %rdx, 0x158(%rsp) + movq 0x60(%rsi), %rbx + movq 0x68(%rsi), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x78(%rsi), %rax + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x88(%rsi), %rax + mulq %rbx + movq %rax, %r13 + movq %rdx, %r14 + movq 0x78(%rsi), %rax + mulq 0x80(%rsi) + movq %rax, %r15 + movq %rdx, %rcx + movq 0x70(%rsi), %rbx + movq 0x60(%rsi), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + movq 0x68(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rbp, %rbp + movq 0x68(%rsi), %rbx + movq 0x78(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x80(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rbp, %rbp + movq 0x88(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq $0x0, %rcx + movq 0x80(%rsi), %rbx + movq 0x60(%rsi), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x70(%rsi), %rbx + movq 0x78(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rbp, %rbp + movq 0x80(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + movq 0x88(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r15 + adcq %rdx, %rcx + sbbq %rbp, %rbp + xorl %ebx, %ebx + movq 0x78(%rsi), %rax + mulq 0x88(%rsi) + subq %rbp, %rdx + xorl %ebp, %ebp + addq %rax, %rcx + adcq %rdx, %rbx + adcl %ebp, %ebp + movq 0x80(%rsi), %rax + mulq 0x88(%rsi) + addq %rax, %rbx + adcq %rdx, %rbp + xorl %r8d, %r8d + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %r15, %r15 + adcq %rcx, %rcx + adcq %rbx, %rbx + adcq %rbp, %rbp + adcl %r8d, %r8d + movq 0x60(%rsi), %rax + mulq %rax + movq %r8, (%rsp) + movq %rax, %r8 + movq 0x68(%rsi), %rax + movq %rbp, 0x8(%rsp) + addq %rdx, %r9 + sbbq %rbp, %rbp + mulq %rax + negq %rbp + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + movq 0x70(%rsi), %rax + mulq %rax + negq %rbp + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x78(%rsi), %rax + mulq %rax + negq %rbp + adcq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + movq 0x80(%rsi), %rax + mulq %rax + negq %rbp + adcq %rax, %rcx + adcq %rdx, %rbx + sbbq %rbp, %rbp + movq 0x88(%rsi), %rax + mulq %rax + negq %rbp + adcq 0x8(%rsp), %rax + adcq (%rsp), %rdx + movq %rax, %rbp + movq %rdx, %rsi + movq %rbx, (%rsp) + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r8 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r8, %r9 + sbbq %rdx, %r10 + sbbq %rax, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + movq %rbx, %r8 + sbbq $0x0, %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r9 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r9, %r10 + sbbq %rdx, %r11 + sbbq %rax, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r8 + movq %rbx, %r9 + sbbq $0x0, %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r10 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r10, %r11 + sbbq %rdx, %r12 + sbbq %rax, %r13 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + movq %rbx, %r10 + sbbq $0x0, %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r11 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r11, %r12 + sbbq %rdx, %r13 + sbbq %rax, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + movq %rbx, %r11 + sbbq $0x0, %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r12 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r12, %r13 + sbbq %rdx, %r8 + sbbq %rax, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %r11 + movq %rbx, %r12 + sbbq $0x0, %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r13 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r13, %r8 + sbbq %rdx, %r9 + sbbq %rax, %r10 + sbbq $0x0, %r11 + sbbq $0x0, %r12 + movq %rbx, %r13 + sbbq $0x0, %r13 + movq (%rsp), %rbx + addq %r8, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r11, %rbx + adcq %r12, %rbp + adcq %r13, %rsi + movl $0x0, %r8d + adcq %r8, %r8 + xorq %r11, %r11 + xorq %r12, %r12 + xorq %r13, %r13 + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %r9d + adcq %r15, %r9 + movl $0x1, %r10d + adcq %rcx, %r10 + adcq %rbx, %r11 + adcq %rbp, %r12 + adcq %rsi, %r13 + adcq $0x0, %r8 + cmovneq %rax, %r14 + cmovneq %r9, %r15 + cmovneq %r10, %rcx + cmovneq %r11, %rbx + cmovneq %r12, %rbp + cmovneq %r13, %rsi + movq %r14, (%rsp) + movq %r15, 0x8(%rsp) + movq %rcx, 0x10(%rsp) + movq %rbx, 0x18(%rsp) + movq %rbp, 0x20(%rsp) + movq %rsi, 0x28(%rsp) + movq 0x158(%rsp), %rsi + movq 0x60(%rsi), %rbx + movq 0x68(%rsi), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x78(%rsi), %rax + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x88(%rsi), %rax + mulq %rbx + movq %rax, %r13 + movq %rdx, %r14 + movq 0x78(%rsi), %rax + mulq 0x80(%rsi) + movq %rax, %r15 + movq %rdx, %rcx + movq 0x70(%rsi), %rbx + movq 0x60(%rsi), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + movq 0x68(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rbp, %rbp + movq 0x68(%rsi), %rbx + movq 0x78(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x80(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rbp, %rbp + movq 0x88(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq $0x0, %rcx + movq 0x80(%rsi), %rbx + movq 0x60(%rsi), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x70(%rsi), %rbx + movq 0x78(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rbp, %rbp + movq 0x80(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + movq 0x88(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r15 + adcq %rdx, %rcx + sbbq %rbp, %rbp + xorl %ebx, %ebx + movq 0x78(%rsi), %rax + mulq 0x88(%rsi) + subq %rbp, %rdx + xorl %ebp, %ebp + addq %rax, %rcx + adcq %rdx, %rbx + adcl %ebp, %ebp + movq 0x80(%rsi), %rax + mulq 0x88(%rsi) + addq %rax, %rbx + adcq %rdx, %rbp + xorl %r8d, %r8d + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %r15, %r15 + adcq %rcx, %rcx + adcq %rbx, %rbx + adcq %rbp, %rbp + adcl %r8d, %r8d + movq 0x60(%rsi), %rax + mulq %rax + movq %r8, 0xf0(%rsp) + movq %rax, %r8 + movq 0x68(%rsi), %rax + movq %rbp, 0xf8(%rsp) + addq %rdx, %r9 + sbbq %rbp, %rbp + mulq %rax + negq %rbp + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + movq 0x70(%rsi), %rax + mulq %rax + negq %rbp + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x78(%rsi), %rax + mulq %rax + negq %rbp + adcq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + movq 0x80(%rsi), %rax + mulq %rax + negq %rbp + adcq %rax, %rcx + adcq %rdx, %rbx + sbbq %rbp, %rbp + movq 0x88(%rsi), %rax + mulq %rax + negq %rbp + adcq 0xf8(%rsp), %rax + adcq 0xf0(%rsp), %rdx + movq %rax, %rbp + movq %rdx, %rsi + movq %rbx, 0xf0(%rsp) + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r8 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r8, %r9 + sbbq %rdx, %r10 + sbbq %rax, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + movq %rbx, %r8 + sbbq $0x0, %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r9 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r9, %r10 + sbbq %rdx, %r11 + sbbq %rax, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r8 + movq %rbx, %r9 + sbbq $0x0, %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r10 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r10, %r11 + sbbq %rdx, %r12 + sbbq %rax, %r13 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + movq %rbx, %r10 + sbbq $0x0, %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r11 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r11, %r12 + sbbq %rdx, %r13 + sbbq %rax, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + movq %rbx, %r11 + sbbq $0x0, %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r12 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r12, %r13 + sbbq %rdx, %r8 + sbbq %rax, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %r11 + movq %rbx, %r12 + sbbq $0x0, %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r13 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r13, %r8 + sbbq %rdx, %r9 + sbbq %rax, %r10 + sbbq $0x0, %r11 + sbbq $0x0, %r12 + movq %rbx, %r13 + sbbq $0x0, %r13 + movq 0xf0(%rsp), %rbx + addq %r8, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r11, %rbx + adcq %r12, %rbp + adcq %r13, %rsi + movl $0x0, %r8d + adcq %r8, %r8 + xorq %r11, %r11 + xorq %r12, %r12 + xorq %r13, %r13 + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %r9d + adcq %r15, %r9 + movl $0x1, %r10d + adcq %rcx, %r10 + adcq %rbx, %r11 + adcq %rbp, %r12 + adcq %rsi, %r13 + adcq $0x0, %r8 + cmovneq %rax, %r14 + cmovneq %r9, %r15 + cmovneq %r10, %rcx + cmovneq %r11, %rbx + cmovneq %r12, %rbp + cmovneq %r13, %rsi + movq %r14, 0xf0(%rsp) + movq %r15, 0xf8(%rsp) + movq %rcx, 0x100(%rsp) + movq %rbx, 0x108(%rsp) + movq %rbp, 0x110(%rsp) + movq %rsi, 0x118(%rsp) + movq 0x150(%rsp), %rsi + movq 0x158(%rsp), %rcx + movq 0x30(%rsi), %rbx + movq 0x60(%rcx), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x68(%rcx), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x70(%rcx), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x78(%rcx), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x80(%rcx), %rax + mulq %rbx + xorl %r13d, %r13d + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x88(%rcx), %rax + mulq %rbx + xorl %r14d, %r14d + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r8, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rdx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rbx + addq %rbx, %r14 + adcq $0x0, %r15 + movq 0x38(%rsi), %rbx + movq 0x60(%rcx), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r8, %r8 + movq 0x68(%rcx), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x70(%rcx), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x78(%rcx), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x80(%rcx), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r8, %r8 + movq 0x88(%rcx), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r8, %r8 + negq %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r9, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rdx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rbx + addq %rbx, %r15 + adcq $0x0, %r8 + movq 0x40(%rsi), %rbx + movq 0x60(%rcx), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r9, %r9 + movq 0x68(%rcx), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x70(%rcx), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x78(%rcx), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x80(%rcx), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r9, %r9 + movq 0x88(%rcx), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r9, %r9 + negq %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r10, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rdx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rbx + addq %rbx, %r8 + adcq $0x0, %r9 + movq 0x48(%rsi), %rbx + movq 0x60(%rcx), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r10, %r10 + movq 0x68(%rcx), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r10, %r10 + movq 0x70(%rcx), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r10, %r10 + movq 0x78(%rcx), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r10, %r10 + movq 0x80(%rcx), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r10, %r10 + movq 0x88(%rcx), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r10, %r10 + negq %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r11, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rdx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rbx + addq %rbx, %r9 + adcq $0x0, %r10 + movq 0x50(%rsi), %rbx + movq 0x60(%rcx), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r11, %r11 + movq 0x68(%rcx), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r11, %r11 + movq 0x70(%rcx), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r11, %r11 + movq 0x78(%rcx), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r11, %r11 + movq 0x80(%rcx), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r11, %r11 + movq 0x88(%rcx), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r11, %r11 + negq %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r12, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rdx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rbx + addq %rbx, %r10 + adcq $0x0, %r11 + movq 0x58(%rsi), %rbx + movq 0x60(%rcx), %rax + mulq %rbx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r12, %r12 + movq 0x68(%rcx), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r12, %r12 + movq 0x70(%rcx), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r12, %r12 + movq 0x78(%rcx), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r12, %r12 + movq 0x80(%rcx), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r12, %r12 + movq 0x88(%rcx), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r12, %r12 + negq %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r13, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rdx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rbx + addq %rbx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0x120(%rsp) + movq %r15, 0x128(%rsp) + movq %r8, 0x130(%rsp) + movq %r9, 0x138(%rsp) + movq %r10, 0x140(%rsp) + movq %r11, 0x148(%rsp) + movq 0x150(%rsp), %rsi + movq 0x158(%rsp), %rcx + movq 0x30(%rcx), %rbx + movq 0x60(%rsi), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x68(%rsi), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x70(%rsi), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x78(%rsi), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x80(%rsi), %rax + mulq %rbx + xorl %r13d, %r13d + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x88(%rsi), %rax + mulq %rbx + xorl %r14d, %r14d + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r8, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rdx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rbx + addq %rbx, %r14 + adcq $0x0, %r15 + movq 0x38(%rcx), %rbx + movq 0x60(%rsi), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r8, %r8 + movq 0x68(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x70(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x78(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x80(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r8, %r8 + movq 0x88(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r8, %r8 + negq %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r9, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rdx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rbx + addq %rbx, %r15 + adcq $0x0, %r8 + movq 0x40(%rcx), %rbx + movq 0x60(%rsi), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r9, %r9 + movq 0x68(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x70(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x78(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x80(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r9, %r9 + movq 0x88(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r9, %r9 + negq %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r10, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rdx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rbx + addq %rbx, %r8 + adcq $0x0, %r9 + movq 0x48(%rcx), %rbx + movq 0x60(%rsi), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r10, %r10 + movq 0x68(%rsi), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r10, %r10 + movq 0x70(%rsi), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r10, %r10 + movq 0x78(%rsi), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r10, %r10 + movq 0x80(%rsi), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r10, %r10 + movq 0x88(%rsi), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r10, %r10 + negq %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r11, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rdx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rbx + addq %rbx, %r9 + adcq $0x0, %r10 + movq 0x50(%rcx), %rbx + movq 0x60(%rsi), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r11, %r11 + movq 0x68(%rsi), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r11, %r11 + movq 0x70(%rsi), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r11, %r11 + movq 0x78(%rsi), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r11, %r11 + movq 0x80(%rsi), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r11, %r11 + movq 0x88(%rsi), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r11, %r11 + negq %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r12, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rdx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rbx + addq %rbx, %r10 + adcq $0x0, %r11 + movq 0x58(%rcx), %rbx + movq 0x60(%rsi), %rax + mulq %rbx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r12, %r12 + movq 0x68(%rsi), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r12, %r12 + movq 0x70(%rsi), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r12, %r12 + movq 0x78(%rsi), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r12, %r12 + movq 0x80(%rsi), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r12, %r12 + movq 0x88(%rsi), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r12, %r12 + negq %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r13, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rdx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rbx + addq %rbx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0x30(%rsp) + movq %r15, 0x38(%rsp) + movq %r8, 0x40(%rsp) + movq %r9, 0x48(%rsp) + movq %r10, 0x50(%rsp) + movq %r11, 0x58(%rsp) + movq 0x158(%rsp), %rcx + movq (%rcx), %rbx + movq (%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x8(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x10(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x18(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x20(%rsp), %rax + mulq %rbx + xorl %r13d, %r13d + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x28(%rsp), %rax + mulq %rbx + xorl %r14d, %r14d + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r8, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rdx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rbx + addq %rbx, %r14 + adcq $0x0, %r15 + movq 0x8(%rcx), %rbx + movq (%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r8, %r8 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x20(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r8, %r8 + movq 0x28(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r8, %r8 + negq %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r9, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rdx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rbx + addq %rbx, %r15 + adcq $0x0, %r8 + movq 0x10(%rcx), %rbx + movq (%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r9, %r9 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x20(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r9, %r9 + movq 0x28(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r9, %r9 + negq %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r10, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rdx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rbx + addq %rbx, %r8 + adcq $0x0, %r9 + movq 0x18(%rcx), %rbx + movq (%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r10, %r10 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r10, %r10 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r10, %r10 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r10, %r10 + movq 0x20(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r10, %r10 + movq 0x28(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r10, %r10 + negq %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r11, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rdx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rbx + addq %rbx, %r9 + adcq $0x0, %r10 + movq 0x20(%rcx), %rbx + movq (%rsp), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r11, %r11 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r11, %r11 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r11, %r11 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r11, %r11 + movq 0x20(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r11, %r11 + movq 0x28(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r11, %r11 + negq %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r12, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rdx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rbx + addq %rbx, %r10 + adcq $0x0, %r11 + movq 0x28(%rcx), %rbx + movq (%rsp), %rax + mulq %rbx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r12, %r12 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r12, %r12 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r12, %r12 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r12, %r12 + movq 0x20(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r12, %r12 + movq 0x28(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r12, %r12 + negq %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r13, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rdx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rbx + addq %rbx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0x60(%rsp) + movq %r15, 0x68(%rsp) + movq %r8, 0x70(%rsp) + movq %r9, 0x78(%rsp) + movq %r10, 0x80(%rsp) + movq %r11, 0x88(%rsp) + movq 0x150(%rsp), %rsi + movq (%rsi), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0xf8(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x100(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x108(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x110(%rsp), %rax + mulq %rbx + xorl %r13d, %r13d + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x118(%rsp), %rax + mulq %rbx + xorl %r14d, %r14d + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r8, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rdx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rbx + addq %rbx, %r14 + adcq $0x0, %r15 + movq 0x8(%rsi), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r8, %r8 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r8, %r8 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r8, %r8 + negq %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r9, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rdx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rbx + addq %rbx, %r15 + adcq $0x0, %r8 + movq 0x10(%rsi), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r9, %r9 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r9, %r9 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r9, %r9 + negq %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r10, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rdx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rbx + addq %rbx, %r8 + adcq $0x0, %r9 + movq 0x18(%rsi), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r10, %r10 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r10, %r10 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r10, %r10 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r10, %r10 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r10, %r10 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r10, %r10 + negq %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r11, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rdx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rbx + addq %rbx, %r9 + adcq $0x0, %r10 + movq 0x20(%rsi), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r11, %r11 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r11, %r11 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r11, %r11 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r11, %r11 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r11, %r11 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r11, %r11 + negq %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r12, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rdx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rbx + addq %rbx, %r10 + adcq $0x0, %r11 + movq 0x28(%rsi), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r12, %r12 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r12, %r12 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r12, %r12 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r12, %r12 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r12, %r12 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r12, %r12 + negq %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r13, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rdx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rbx + addq %rbx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0xc0(%rsp) + movq %r15, 0xc8(%rsp) + movq %r8, 0xd0(%rsp) + movq %r9, 0xd8(%rsp) + movq %r10, 0xe0(%rsp) + movq %r11, 0xe8(%rsp) + movq 0x30(%rsp), %rbx + movq (%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x8(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x10(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x18(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x20(%rsp), %rax + mulq %rbx + xorl %r13d, %r13d + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x28(%rsp), %rax + mulq %rbx + xorl %r14d, %r14d + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r8, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rdx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rbx + addq %rbx, %r14 + adcq $0x0, %r15 + movq 0x38(%rsp), %rbx + movq (%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r8, %r8 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x20(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r8, %r8 + movq 0x28(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r8, %r8 + negq %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r9, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rdx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rbx + addq %rbx, %r15 + adcq $0x0, %r8 + movq 0x40(%rsp), %rbx + movq (%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r9, %r9 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x20(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r9, %r9 + movq 0x28(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r9, %r9 + negq %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r10, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rdx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rbx + addq %rbx, %r8 + adcq $0x0, %r9 + movq 0x48(%rsp), %rbx + movq (%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r10, %r10 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r10, %r10 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r10, %r10 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r10, %r10 + movq 0x20(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r10, %r10 + movq 0x28(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r10, %r10 + negq %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r11, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rdx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rbx + addq %rbx, %r9 + adcq $0x0, %r10 + movq 0x50(%rsp), %rbx + movq (%rsp), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r11, %r11 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r11, %r11 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r11, %r11 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r11, %r11 + movq 0x20(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r11, %r11 + movq 0x28(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r11, %r11 + negq %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r12, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rdx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rbx + addq %rbx, %r10 + adcq $0x0, %r11 + movq 0x58(%rsp), %rbx + movq (%rsp), %rax + mulq %rbx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r12, %r12 + movq 0x8(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r12, %r12 + movq 0x10(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r12, %r12 + movq 0x18(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r12, %r12 + movq 0x20(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r12, %r12 + movq 0x28(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r12, %r12 + negq %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r13, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rdx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rbx + addq %rbx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0x30(%rsp) + movq %r15, 0x38(%rsp) + movq %r8, 0x40(%rsp) + movq %r9, 0x48(%rsp) + movq %r10, 0x50(%rsp) + movq %r11, 0x58(%rsp) + movq 0x120(%rsp), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0xf8(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x100(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x108(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x110(%rsp), %rax + mulq %rbx + xorl %r13d, %r13d + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x118(%rsp), %rax + mulq %rbx + xorl %r14d, %r14d + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r8, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rdx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rbx + addq %rbx, %r14 + adcq $0x0, %r15 + movq 0x128(%rsp), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r8, %r8 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r8, %r8 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r8, %r8 + negq %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r9, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rdx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rbx + addq %rbx, %r15 + adcq $0x0, %r8 + movq 0x130(%rsp), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r9, %r9 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r9, %r9 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r9, %r9 + negq %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r10, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rdx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rbx + addq %rbx, %r8 + adcq $0x0, %r9 + movq 0x138(%rsp), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r10, %r10 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r10, %r10 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r10, %r10 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r10, %r10 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r10, %r10 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r10, %r10 + negq %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r11, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rdx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rbx + addq %rbx, %r9 + adcq $0x0, %r10 + movq 0x140(%rsp), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r11, %r11 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r11, %r11 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r11, %r11 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r11, %r11 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r11, %r11 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r11, %r11 + negq %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r12, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rdx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rbx + addq %rbx, %r10 + adcq $0x0, %r11 + movq 0x148(%rsp), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r12, %r12 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r12, %r12 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r12, %r12 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r12, %r12 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r12, %r12 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r12, %r12 + negq %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r13, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rdx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rbx + addq %rbx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0x120(%rsp) + movq %r15, 0x128(%rsp) + movq %r8, 0x130(%rsp) + movq %r9, 0x138(%rsp) + movq %r10, 0x140(%rsp) + movq %r11, 0x148(%rsp) + movq 0x60(%rsp), %rax + subq 0xc0(%rsp), %rax + movq 0x68(%rsp), %rdx + sbbq 0xc8(%rsp), %rdx + movq 0x70(%rsp), %r8 + sbbq 0xd0(%rsp), %r8 + movq 0x78(%rsp), %r9 + sbbq 0xd8(%rsp), %r9 + movq 0x80(%rsp), %r10 + sbbq 0xe0(%rsp), %r10 + movq 0x88(%rsp), %r11 + sbbq 0xe8(%rsp), %r11 + sbbq %rcx, %rcx + movl $0xffffffff, %esi + andq %rsi, %rcx + xorq %rsi, %rsi + subq %rcx, %rsi + subq %rsi, %rax + movq %rax, 0xf0(%rsp) + sbbq %rcx, %rdx + movq %rdx, 0xf8(%rsp) + sbbq %rax, %rax + andq %rsi, %rcx + negq %rax + sbbq %rcx, %r8 + movq %r8, 0x100(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x108(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x110(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x118(%rsp) + movq 0x30(%rsp), %rax + subq 0x120(%rsp), %rax + movq 0x38(%rsp), %rdx + sbbq 0x128(%rsp), %rdx + movq 0x40(%rsp), %r8 + sbbq 0x130(%rsp), %r8 + movq 0x48(%rsp), %r9 + sbbq 0x138(%rsp), %r9 + movq 0x50(%rsp), %r10 + sbbq 0x140(%rsp), %r10 + movq 0x58(%rsp), %r11 + sbbq 0x148(%rsp), %r11 + sbbq %rcx, %rcx + movl $0xffffffff, %esi + andq %rsi, %rcx + xorq %rsi, %rsi + subq %rcx, %rsi + subq %rsi, %rax + movq %rax, 0x30(%rsp) + sbbq %rcx, %rdx + movq %rdx, 0x38(%rsp) + sbbq %rax, %rax + andq %rsi, %rcx + negq %rax + sbbq %rcx, %r8 + movq %r8, 0x40(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x48(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x50(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x58(%rsp) + movq 0xf0(%rsp), %rbx + movq 0xf8(%rsp), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x108(%rsp), %rax + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x118(%rsp), %rax + mulq %rbx + movq %rax, %r13 + movq %rdx, %r14 + movq 0x108(%rsp), %rax + mulq 0x110(%rsp) + movq %rax, %r15 + movq %rdx, %rcx + movq 0x100(%rsp), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + movq 0xf8(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rbp, %rbp + movq 0xf8(%rsp), %rbx + movq 0x108(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x110(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rbp, %rbp + movq 0x118(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq $0x0, %rcx + movq 0x110(%rsp), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x100(%rsp), %rbx + movq 0x108(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rbp, %rbp + movq 0x110(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + movq 0x118(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r15 + adcq %rdx, %rcx + sbbq %rbp, %rbp + xorl %ebx, %ebx + movq 0x108(%rsp), %rax + mulq 0x118(%rsp) + subq %rbp, %rdx + xorl %ebp, %ebp + addq %rax, %rcx + adcq %rdx, %rbx + adcl %ebp, %ebp + movq 0x110(%rsp), %rax + mulq 0x118(%rsp) + addq %rax, %rbx + adcq %rdx, %rbp + xorl %r8d, %r8d + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %r15, %r15 + adcq %rcx, %rcx + adcq %rbx, %rbx + adcq %rbp, %rbp + adcl %r8d, %r8d + movq 0xf0(%rsp), %rax + mulq %rax + movq %r8, 0x90(%rsp) + movq %rax, %r8 + movq 0xf8(%rsp), %rax + movq %rbp, 0x98(%rsp) + addq %rdx, %r9 + sbbq %rbp, %rbp + mulq %rax + negq %rbp + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + movq 0x100(%rsp), %rax + mulq %rax + negq %rbp + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x108(%rsp), %rax + mulq %rax + negq %rbp + adcq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + movq 0x110(%rsp), %rax + mulq %rax + negq %rbp + adcq %rax, %rcx + adcq %rdx, %rbx + sbbq %rbp, %rbp + movq 0x118(%rsp), %rax + mulq %rax + negq %rbp + adcq 0x98(%rsp), %rax + adcq 0x90(%rsp), %rdx + movq %rax, %rbp + movq %rdx, %rsi + movq %rbx, 0x90(%rsp) + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r8 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r8, %r9 + sbbq %rdx, %r10 + sbbq %rax, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + movq %rbx, %r8 + sbbq $0x0, %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r9 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r9, %r10 + sbbq %rdx, %r11 + sbbq %rax, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r8 + movq %rbx, %r9 + sbbq $0x0, %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r10 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r10, %r11 + sbbq %rdx, %r12 + sbbq %rax, %r13 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + movq %rbx, %r10 + sbbq $0x0, %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r11 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r11, %r12 + sbbq %rdx, %r13 + sbbq %rax, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + movq %rbx, %r11 + sbbq $0x0, %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r12 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r12, %r13 + sbbq %rdx, %r8 + sbbq %rax, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %r11 + movq %rbx, %r12 + sbbq $0x0, %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r13 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r13, %r8 + sbbq %rdx, %r9 + sbbq %rax, %r10 + sbbq $0x0, %r11 + sbbq $0x0, %r12 + movq %rbx, %r13 + sbbq $0x0, %r13 + movq 0x90(%rsp), %rbx + addq %r8, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r11, %rbx + adcq %r12, %rbp + adcq %r13, %rsi + movl $0x0, %r8d + adcq %r8, %r8 + xorq %r11, %r11 + xorq %r12, %r12 + xorq %r13, %r13 + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %r9d + adcq %r15, %r9 + movl $0x1, %r10d + adcq %rcx, %r10 + adcq %rbx, %r11 + adcq %rbp, %r12 + adcq %rsi, %r13 + adcq $0x0, %r8 + cmovneq %rax, %r14 + cmovneq %r9, %r15 + cmovneq %r10, %rcx + cmovneq %r11, %rbx + cmovneq %r12, %rbp + cmovneq %r13, %rsi + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + movq %rcx, 0xa0(%rsp) + movq %rbx, 0xa8(%rsp) + movq %rbp, 0xb0(%rsp) + movq %rsi, 0xb8(%rsp) + movq 0x30(%rsp), %rbx + movq 0x38(%rsp), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x48(%rsp), %rax + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x58(%rsp), %rax + mulq %rbx + movq %rax, %r13 + movq %rdx, %r14 + movq 0x48(%rsp), %rax + mulq 0x50(%rsp) + movq %rax, %r15 + movq %rdx, %rcx + movq 0x40(%rsp), %rbx + movq 0x30(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + movq 0x38(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rbp, %rbp + movq 0x38(%rsp), %rbx + movq 0x48(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x50(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rbp, %rbp + movq 0x58(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq $0x0, %rcx + movq 0x50(%rsp), %rbx + movq 0x30(%rsp), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x40(%rsp), %rbx + movq 0x48(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rbp, %rbp + movq 0x50(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + movq 0x58(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r15 + adcq %rdx, %rcx + sbbq %rbp, %rbp + xorl %ebx, %ebx + movq 0x48(%rsp), %rax + mulq 0x58(%rsp) + subq %rbp, %rdx + xorl %ebp, %ebp + addq %rax, %rcx + adcq %rdx, %rbx + adcl %ebp, %ebp + movq 0x50(%rsp), %rax + mulq 0x58(%rsp) + addq %rax, %rbx + adcq %rdx, %rbp + xorl %r8d, %r8d + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %r15, %r15 + adcq %rcx, %rcx + adcq %rbx, %rbx + adcq %rbp, %rbp + adcl %r8d, %r8d + movq 0x30(%rsp), %rax + mulq %rax + movq %r8, (%rsp) + movq %rax, %r8 + movq 0x38(%rsp), %rax + movq %rbp, 0x8(%rsp) + addq %rdx, %r9 + sbbq %rbp, %rbp + mulq %rax + negq %rbp + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + movq 0x40(%rsp), %rax + mulq %rax + negq %rbp + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x48(%rsp), %rax + mulq %rax + negq %rbp + adcq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + movq 0x50(%rsp), %rax + mulq %rax + negq %rbp + adcq %rax, %rcx + adcq %rdx, %rbx + sbbq %rbp, %rbp + movq 0x58(%rsp), %rax + mulq %rax + negq %rbp + adcq 0x8(%rsp), %rax + adcq (%rsp), %rdx + movq %rax, %rbp + movq %rdx, %rsi + movq %rbx, (%rsp) + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r8 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r8, %r9 + sbbq %rdx, %r10 + sbbq %rax, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + movq %rbx, %r8 + sbbq $0x0, %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r9 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r9, %r10 + sbbq %rdx, %r11 + sbbq %rax, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r8 + movq %rbx, %r9 + sbbq $0x0, %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r10 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r10, %r11 + sbbq %rdx, %r12 + sbbq %rax, %r13 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + movq %rbx, %r10 + sbbq $0x0, %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r11 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r11, %r12 + sbbq %rdx, %r13 + sbbq %rax, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + movq %rbx, %r11 + sbbq $0x0, %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r12 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r12, %r13 + sbbq %rdx, %r8 + sbbq %rax, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %r11 + movq %rbx, %r12 + sbbq $0x0, %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r13 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r13, %r8 + sbbq %rdx, %r9 + sbbq %rax, %r10 + sbbq $0x0, %r11 + sbbq $0x0, %r12 + movq %rbx, %r13 + sbbq $0x0, %r13 + movq (%rsp), %rbx + addq %r8, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r11, %rbx + adcq %r12, %rbp + adcq %r13, %rsi + movl $0x0, %r8d + adcq %r8, %r8 + xorq %r11, %r11 + xorq %r12, %r12 + xorq %r13, %r13 + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %r9d + adcq %r15, %r9 + movl $0x1, %r10d + adcq %rcx, %r10 + adcq %rbx, %r11 + adcq %rbp, %r12 + adcq %rsi, %r13 + adcq $0x0, %r8 + cmovneq %rax, %r14 + cmovneq %r9, %r15 + cmovneq %r10, %rcx + cmovneq %r11, %rbx + cmovneq %r12, %rbp + cmovneq %r13, %rsi + movq %r14, (%rsp) + movq %r15, 0x8(%rsp) + movq %rcx, 0x10(%rsp) + movq %rbx, 0x18(%rsp) + movq %rbp, 0x20(%rsp) + movq %rsi, 0x28(%rsp) + movq 0xc0(%rsp), %rbx + movq 0x90(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x98(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0xa0(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0xa8(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0xb0(%rsp), %rax + mulq %rbx + xorl %r13d, %r13d + addq %rax, %r12 + adcq %rdx, %r13 + movq 0xb8(%rsp), %rax + mulq %rbx + xorl %r14d, %r14d + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r8, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rdx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rbx + addq %rbx, %r14 + adcq $0x0, %r15 + movq 0xc8(%rsp), %rbx + movq 0x90(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r8, %r8 + movq 0x98(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0xa0(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r8, %r8 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r8, %r8 + negq %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r9, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rdx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rbx + addq %rbx, %r15 + adcq $0x0, %r8 + movq 0xd0(%rsp), %rbx + movq 0x90(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r9, %r9 + movq 0x98(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0xa0(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r9, %r9 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r9, %r9 + negq %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r10, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rdx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rbx + addq %rbx, %r8 + adcq $0x0, %r9 + movq 0xd8(%rsp), %rbx + movq 0x90(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r10, %r10 + movq 0x98(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r10, %r10 + movq 0xa0(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r10, %r10 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r10, %r10 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r10, %r10 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r10, %r10 + negq %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r11, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rdx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rbx + addq %rbx, %r9 + adcq $0x0, %r10 + movq 0xe0(%rsp), %rbx + movq 0x90(%rsp), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r11, %r11 + movq 0x98(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r11, %r11 + movq 0xa0(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r11, %r11 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r11, %r11 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r11, %r11 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r11, %r11 + negq %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r12, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rdx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rbx + addq %rbx, %r10 + adcq $0x0, %r11 + movq 0xe8(%rsp), %rbx + movq 0x90(%rsp), %rax + mulq %rbx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r12, %r12 + movq 0x98(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r12, %r12 + movq 0xa0(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r12, %r12 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r12, %r12 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r12, %r12 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r12, %r12 + negq %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r13, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rdx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rbx + addq %rbx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0xc0(%rsp) + movq %r15, 0xc8(%rsp) + movq %r8, 0xd0(%rsp) + movq %r9, 0xd8(%rsp) + movq %r10, 0xe0(%rsp) + movq %r11, 0xe8(%rsp) + movq 0x60(%rsp), %rbx + movq 0x90(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x98(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0xa0(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0xa8(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0xb0(%rsp), %rax + mulq %rbx + xorl %r13d, %r13d + addq %rax, %r12 + adcq %rdx, %r13 + movq 0xb8(%rsp), %rax + mulq %rbx + xorl %r14d, %r14d + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r8, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rdx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rbx + addq %rbx, %r14 + adcq $0x0, %r15 + movq 0x68(%rsp), %rbx + movq 0x90(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r8, %r8 + movq 0x98(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0xa0(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r8, %r8 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r8, %r8 + negq %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r9, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rdx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rbx + addq %rbx, %r15 + adcq $0x0, %r8 + movq 0x70(%rsp), %rbx + movq 0x90(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r9, %r9 + movq 0x98(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0xa0(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r9, %r9 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r9, %r9 + negq %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r10, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rdx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rbx + addq %rbx, %r8 + adcq $0x0, %r9 + movq 0x78(%rsp), %rbx + movq 0x90(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r10, %r10 + movq 0x98(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r10, %r10 + movq 0xa0(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r10, %r10 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r10, %r10 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r10, %r10 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r10, %r10 + negq %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r11, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rdx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rbx + addq %rbx, %r9 + adcq $0x0, %r10 + movq 0x80(%rsp), %rbx + movq 0x90(%rsp), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r11, %r11 + movq 0x98(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r11, %r11 + movq 0xa0(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r11, %r11 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r11, %r11 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r11, %r11 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r11, %r11 + negq %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r12, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rdx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rbx + addq %rbx, %r10 + adcq $0x0, %r11 + movq 0x88(%rsp), %rbx + movq 0x90(%rsp), %rax + mulq %rbx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r12, %r12 + movq 0x98(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r12, %r12 + movq 0xa0(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r12, %r12 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r12, %r12 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r12, %r12 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r12, %r12 + negq %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r13, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rdx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rbx + addq %rbx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0x60(%rsp) + movq %r15, 0x68(%rsp) + movq %r8, 0x70(%rsp) + movq %r9, 0x78(%rsp) + movq %r10, 0x80(%rsp) + movq %r11, 0x88(%rsp) + movq (%rsp), %rax + subq 0xc0(%rsp), %rax + movq 0x8(%rsp), %rdx + sbbq 0xc8(%rsp), %rdx + movq 0x10(%rsp), %r8 + sbbq 0xd0(%rsp), %r8 + movq 0x18(%rsp), %r9 + sbbq 0xd8(%rsp), %r9 + movq 0x20(%rsp), %r10 + sbbq 0xe0(%rsp), %r10 + movq 0x28(%rsp), %r11 + sbbq 0xe8(%rsp), %r11 + sbbq %rcx, %rcx + movl $0xffffffff, %esi + andq %rsi, %rcx + xorq %rsi, %rsi + subq %rcx, %rsi + subq %rsi, %rax + movq %rax, (%rsp) + sbbq %rcx, %rdx + movq %rdx, 0x8(%rsp) + sbbq %rax, %rax + andq %rsi, %rcx + negq %rax + sbbq %rcx, %r8 + movq %r8, 0x10(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x18(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x20(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x28(%rsp) + movq 0x60(%rsp), %rax + subq 0xc0(%rsp), %rax + movq 0x68(%rsp), %rdx + sbbq 0xc8(%rsp), %rdx + movq 0x70(%rsp), %r8 + sbbq 0xd0(%rsp), %r8 + movq 0x78(%rsp), %r9 + sbbq 0xd8(%rsp), %r9 + movq 0x80(%rsp), %r10 + sbbq 0xe0(%rsp), %r10 + movq 0x88(%rsp), %r11 + sbbq 0xe8(%rsp), %r11 + sbbq %rcx, %rcx + movl $0xffffffff, %esi + andq %rsi, %rcx + xorq %rsi, %rsi + subq %rcx, %rsi + subq %rsi, %rax + movq %rax, 0x90(%rsp) + sbbq %rcx, %rdx + movq %rdx, 0x98(%rsp) + sbbq %rax, %rax + andq %rsi, %rcx + negq %rax + sbbq %rcx, %r8 + movq %r8, 0xa0(%rsp) + sbbq $0x0, %r9 + movq %r9, 0xa8(%rsp) + sbbq $0x0, %r10 + movq %r10, 0xb0(%rsp) + sbbq $0x0, %r11 + movq %r11, 0xb8(%rsp) + movq 0x150(%rsp), %rsi + movq 0x60(%rsi), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0xf8(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x100(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x108(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x110(%rsp), %rax + mulq %rbx + xorl %r13d, %r13d + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x118(%rsp), %rax + mulq %rbx + xorl %r14d, %r14d + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r8, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rdx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rbx + addq %rbx, %r14 + adcq $0x0, %r15 + movq 0x68(%rsi), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r8, %r8 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r8, %r8 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r8, %r8 + negq %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r9, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rdx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rbx + addq %rbx, %r15 + adcq $0x0, %r8 + movq 0x70(%rsi), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r9, %r9 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r9, %r9 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r9, %r9 + negq %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r10, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rdx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rbx + addq %rbx, %r8 + adcq $0x0, %r9 + movq 0x78(%rsi), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r10, %r10 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r10, %r10 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r10, %r10 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r10, %r10 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r10, %r10 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r10, %r10 + negq %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r11, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rdx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rbx + addq %rbx, %r9 + adcq $0x0, %r10 + movq 0x80(%rsi), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r11, %r11 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r11, %r11 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r11, %r11 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r11, %r11 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r11, %r11 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r11, %r11 + negq %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r12, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rdx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rbx + addq %rbx, %r10 + adcq $0x0, %r11 + movq 0x88(%rsi), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r12, %r12 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r12, %r12 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r12, %r12 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r12, %r12 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r12, %r12 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r12, %r12 + negq %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r13, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rdx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rbx + addq %rbx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0xf0(%rsp) + movq %r15, 0xf8(%rsp) + movq %r8, 0x100(%rsp) + movq %r9, 0x108(%rsp) + movq %r10, 0x110(%rsp) + movq %r11, 0x118(%rsp) + movq (%rsp), %rax + subq 0x60(%rsp), %rax + movq 0x8(%rsp), %rdx + sbbq 0x68(%rsp), %rdx + movq 0x10(%rsp), %r8 + sbbq 0x70(%rsp), %r8 + movq 0x18(%rsp), %r9 + sbbq 0x78(%rsp), %r9 + movq 0x20(%rsp), %r10 + sbbq 0x80(%rsp), %r10 + movq 0x28(%rsp), %r11 + sbbq 0x88(%rsp), %r11 + sbbq %rcx, %rcx + movl $0xffffffff, %esi + andq %rsi, %rcx + xorq %rsi, %rsi + subq %rcx, %rsi + subq %rsi, %rax + movq %rax, (%rsp) + sbbq %rcx, %rdx + movq %rdx, 0x8(%rsp) + sbbq %rax, %rax + andq %rsi, %rcx + negq %rax + sbbq %rcx, %r8 + movq %r8, 0x10(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x18(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x20(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x28(%rsp) + movq 0xc0(%rsp), %rax + subq (%rsp), %rax + movq 0xc8(%rsp), %rdx + sbbq 0x8(%rsp), %rdx + movq 0xd0(%rsp), %r8 + sbbq 0x10(%rsp), %r8 + movq 0xd8(%rsp), %r9 + sbbq 0x18(%rsp), %r9 + movq 0xe0(%rsp), %r10 + sbbq 0x20(%rsp), %r10 + movq 0xe8(%rsp), %r11 + sbbq 0x28(%rsp), %r11 + sbbq %rcx, %rcx + movl $0xffffffff, %esi + andq %rsi, %rcx + xorq %rsi, %rsi + subq %rcx, %rsi + subq %rsi, %rax + movq %rax, 0xc0(%rsp) + sbbq %rcx, %rdx + movq %rdx, 0xc8(%rsp) + sbbq %rax, %rax + andq %rsi, %rcx + negq %rax + sbbq %rcx, %r8 + movq %r8, 0xd0(%rsp) + sbbq $0x0, %r9 + movq %r9, 0xd8(%rsp) + sbbq $0x0, %r10 + movq %r10, 0xe0(%rsp) + sbbq $0x0, %r11 + movq %r11, 0xe8(%rsp) + movq 0x120(%rsp), %rbx + movq 0x90(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x98(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0xa0(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0xa8(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0xb0(%rsp), %rax + mulq %rbx + xorl %r13d, %r13d + addq %rax, %r12 + adcq %rdx, %r13 + movq 0xb8(%rsp), %rax + mulq %rbx + xorl %r14d, %r14d + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r8, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rdx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rbx + addq %rbx, %r14 + adcq $0x0, %r15 + movq 0x128(%rsp), %rbx + movq 0x90(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r8, %r8 + movq 0x98(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0xa0(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r8, %r8 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r8, %r8 + negq %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r9, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rdx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rbx + addq %rbx, %r15 + adcq $0x0, %r8 + movq 0x130(%rsp), %rbx + movq 0x90(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r9, %r9 + movq 0x98(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0xa0(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r9, %r9 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r9, %r9 + negq %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r10, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rdx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rbx + addq %rbx, %r8 + adcq $0x0, %r9 + movq 0x138(%rsp), %rbx + movq 0x90(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r10, %r10 + movq 0x98(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r10, %r10 + movq 0xa0(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r10, %r10 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r10, %r10 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r10, %r10 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r10, %r10 + negq %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r11, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rdx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rbx + addq %rbx, %r9 + adcq $0x0, %r10 + movq 0x140(%rsp), %rbx + movq 0x90(%rsp), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r11, %r11 + movq 0x98(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r11, %r11 + movq 0xa0(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r11, %r11 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r11, %r11 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r11, %r11 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r11, %r11 + negq %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r12, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rdx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rbx + addq %rbx, %r10 + adcq $0x0, %r11 + movq 0x148(%rsp), %rbx + movq 0x90(%rsp), %rax + mulq %rbx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r12, %r12 + movq 0x98(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r12, %r12 + movq 0xa0(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r12, %r12 + movq 0xa8(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r12, %r12 + movq 0xb0(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r12, %r12 + movq 0xb8(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r12, %r12 + negq %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r13, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rdx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rbx + addq %rbx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + movq %r8, 0xa0(%rsp) + movq %r9, 0xa8(%rsp) + movq %r10, 0xb0(%rsp) + movq %r11, 0xb8(%rsp) + movq 0x158(%rsp), %rcx + movq 0x60(%rcx), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0xf8(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x100(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x108(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x110(%rsp), %rax + mulq %rbx + xorl %r13d, %r13d + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x118(%rsp), %rax + mulq %rbx + xorl %r14d, %r14d + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r8, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rdx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rbx + addq %rbx, %r14 + adcq $0x0, %r15 + movq 0x68(%rcx), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r8, %r8 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r8, %r8 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r8, %r8 + negq %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r9, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rdx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rbx + addq %rbx, %r15 + adcq $0x0, %r8 + movq 0x70(%rcx), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r9, %r9 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r9, %r9 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r9, %r9 + negq %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r10, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rdx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rbx + addq %rbx, %r8 + adcq $0x0, %r9 + movq 0x78(%rcx), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r10, %r10 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r10, %r10 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r10, %r10 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r10, %r10 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r10, %r10 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r10, %r10 + negq %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r11, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rdx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rbx + addq %rbx, %r9 + adcq $0x0, %r10 + movq 0x80(%rcx), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r11, %r11 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r11, %r11 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r11, %r11 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r11, %r11 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r11, %r11 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r11, %r11 + negq %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r12, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rdx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rbx + addq %rbx, %r10 + adcq $0x0, %r11 + movq 0x88(%rcx), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r12, %r12 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r12, %r12 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r12, %r12 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r12, %r12 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r12, %r12 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r12, %r12 + negq %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r13, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rdx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rbx + addq %rbx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0xf0(%rsp) + movq %r15, 0xf8(%rsp) + movq %r8, 0x100(%rsp) + movq %r9, 0x108(%rsp) + movq %r10, 0x110(%rsp) + movq %r11, 0x118(%rsp) + movq 0xc0(%rsp), %rbx + movq 0x30(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x38(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x40(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x48(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x50(%rsp), %rax + mulq %rbx + xorl %r13d, %r13d + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x58(%rsp), %rax + mulq %rbx + xorl %r14d, %r14d + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r8, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rdx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rbx + addq %rbx, %r14 + adcq $0x0, %r15 + movq 0xc8(%rsp), %rbx + movq 0x30(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r8, %r8 + movq 0x38(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x40(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x48(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x50(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r8, %r8 + movq 0x58(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r8, %r8 + negq %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r9, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rdx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rbx + addq %rbx, %r15 + adcq $0x0, %r8 + movq 0xd0(%rsp), %rbx + movq 0x30(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r9, %r9 + movq 0x38(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x40(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x48(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x50(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r9, %r9 + movq 0x58(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r9, %r9 + negq %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r10, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rdx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rbx + addq %rbx, %r8 + adcq $0x0, %r9 + movq 0xd8(%rsp), %rbx + movq 0x30(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r10, %r10 + movq 0x38(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r10, %r10 + movq 0x40(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r10, %r10 + movq 0x48(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r10, %r10 + movq 0x50(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r10, %r10 + movq 0x58(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r10, %r10 + negq %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r11, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rdx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rbx + addq %rbx, %r9 + adcq $0x0, %r10 + movq 0xe0(%rsp), %rbx + movq 0x30(%rsp), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r11, %r11 + movq 0x38(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r11, %r11 + movq 0x40(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r11, %r11 + movq 0x48(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r11, %r11 + movq 0x50(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r11, %r11 + movq 0x58(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r11, %r11 + negq %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r12, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rdx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rbx + addq %rbx, %r10 + adcq $0x0, %r11 + movq 0xe8(%rsp), %rbx + movq 0x30(%rsp), %rax + mulq %rbx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r12, %r12 + movq 0x38(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r12, %r12 + movq 0x40(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r12, %r12 + movq 0x48(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r12, %r12 + movq 0x50(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r12, %r12 + movq 0x58(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r12, %r12 + negq %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r13, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rdx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rbx + addq %rbx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0xc0(%rsp) + movq %r15, 0xc8(%rsp) + movq %r8, 0xd0(%rsp) + movq %r9, 0xd8(%rsp) + movq %r10, 0xe0(%rsp) + movq %r11, 0xe8(%rsp) + movq 0xc0(%rsp), %rax + subq 0x90(%rsp), %rax + movq 0xc8(%rsp), %rdx + sbbq 0x98(%rsp), %rdx + movq 0xd0(%rsp), %r8 + sbbq 0xa0(%rsp), %r8 + movq 0xd8(%rsp), %r9 + sbbq 0xa8(%rsp), %r9 + movq 0xe0(%rsp), %r10 + sbbq 0xb0(%rsp), %r10 + movq 0xe8(%rsp), %r11 + sbbq 0xb8(%rsp), %r11 + sbbq %rcx, %rcx + movl $0xffffffff, %esi + andq %rsi, %rcx + xorq %rsi, %rsi + subq %rcx, %rsi + subq %rsi, %rax + movq %rax, 0xc0(%rsp) + sbbq %rcx, %rdx + movq %rdx, 0xc8(%rsp) + sbbq %rax, %rax + andq %rsi, %rcx + negq %rax + sbbq %rcx, %r8 + movq %r8, 0xd0(%rsp) + sbbq $0x0, %r9 + movq %r9, 0xd8(%rsp) + sbbq $0x0, %r10 + movq %r10, 0xe0(%rsp) + sbbq $0x0, %r11 + movq %r11, 0xe8(%rsp) + movq 0x158(%rsp), %rcx + movq 0x60(%rcx), %r8 + movq 0x68(%rcx), %r9 + movq 0x70(%rcx), %r10 + movq 0x78(%rcx), %r11 + movq 0x80(%rcx), %rbx + movq 0x88(%rcx), %rbp + movq %r8, %rax + movq %r9, %rdx + orq %r10, %rax + orq %r11, %rdx + orq %rbx, %rax + orq %rbp, %rdx + orq %rdx, %rax + negq %rax + sbbq %rax, %rax + movq 0x150(%rsp), %rsi + movq 0x60(%rsi), %r12 + movq 0x68(%rsi), %r13 + movq 0x70(%rsi), %r14 + movq 0x78(%rsi), %r15 + movq 0x80(%rsi), %rdx + movq 0x88(%rsi), %rcx + cmoveq %r12, %r8 + cmoveq %r13, %r9 + cmoveq %r14, %r10 + cmoveq %r15, %r11 + cmoveq %rdx, %rbx + cmoveq %rcx, %rbp + orq %r13, %r12 + orq %r15, %r14 + orq %rcx, %rdx + orq %r14, %r12 + orq %r12, %rdx + negq %rdx + sbbq %rdx, %rdx + cmpq %rdx, %rax + cmoveq 0xf0(%rsp), %r8 + cmoveq 0xf8(%rsp), %r9 + cmoveq 0x100(%rsp), %r10 + cmoveq 0x108(%rsp), %r11 + cmoveq 0x110(%rsp), %rbx + cmoveq 0x118(%rsp), %rbp + movq %r8, 0xf0(%rsp) + movq %r9, 0xf8(%rsp) + movq %r10, 0x100(%rsp) + movq %r11, 0x108(%rsp) + movq %rbx, 0x110(%rsp) + movq %rbp, 0x118(%rsp) + movq 0x158(%rsp), %rcx + movq 0x150(%rsp), %rsi + movq (%rsp), %r8 + cmovbq (%rsi), %r8 + cmova (%rcx), %r8 + movq 0x8(%rsp), %r9 + cmovbq 0x8(%rsi), %r9 + cmova 0x8(%rcx), %r9 + movq 0x10(%rsp), %r10 + cmovbq 0x10(%rsi), %r10 + cmova 0x10(%rcx), %r10 + movq 0x18(%rsp), %r11 + cmovbq 0x18(%rsi), %r11 + cmova 0x18(%rcx), %r11 + movq 0x20(%rsp), %rbx + cmovbq 0x20(%rsi), %rbx + cmova 0x20(%rcx), %rbx + movq 0x28(%rsp), %rbp + cmovbq 0x28(%rsi), %rbp + cmova 0x28(%rcx), %rbp + movq 0xc0(%rsp), %r12 + cmovbq 0x30(%rsi), %r12 + cmova 0x30(%rcx), %r12 + movq 0xc8(%rsp), %r13 + cmovbq 0x38(%rsi), %r13 + cmova 0x38(%rcx), %r13 + movq 0xd0(%rsp), %r14 + cmovbq 0x40(%rsi), %r14 + cmova 0x40(%rcx), %r14 + movq 0xd8(%rsp), %r15 + cmovbq 0x48(%rsi), %r15 + cmova 0x48(%rcx), %r15 + movq 0xe0(%rsp), %rdx + cmovbq 0x50(%rsi), %rdx + cmova 0x50(%rcx), %rdx + movq 0xe8(%rsp), %rax + cmovbq 0x58(%rsi), %rax + cmova 0x58(%rcx), %rax + movq %r8, (%rdi) + movq %r9, 0x8(%rdi) + movq %r10, 0x10(%rdi) + movq %r11, 0x18(%rdi) + movq %rbx, 0x20(%rdi) + movq %rbp, 0x28(%rdi) + movq 0xf0(%rsp), %r8 + movq 0xf8(%rsp), %r9 + movq 0x100(%rsp), %r10 + movq 0x108(%rsp), %r11 + movq 0x110(%rsp), %rbx + movq 0x118(%rsp), %rbp + movq %r12, 0x30(%rdi) + movq %r13, 0x38(%rdi) + movq %r14, 0x40(%rdi) + movq %r15, 0x48(%rdi) + movq %rdx, 0x50(%rdi) + movq %rax, 0x58(%rdi) + movq %r8, 0x60(%rdi) + movq %r9, 0x68(%rdi) + movq %r10, 0x70(%rdi) + movq %r11, 0x78(%rdi) + movq %rbx, 0x80(%rdi) + movq %rbp, 0x88(%rdi) + CFI_INC_RSP(352) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp384_montjscalarmul_alt_p384_montjadd) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp384_montjscalarmul_alt_p384_montjdouble) + +Lp384_montjscalarmul_alt_p384_montjdouble: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(344) + movq %rdi, 0x150(%rsp) + movq 0x60(%rsi), %rbx + movq 0x68(%rsi), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x78(%rsi), %rax + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x88(%rsi), %rax + mulq %rbx + movq %rax, %r13 + movq %rdx, %r14 + movq 0x78(%rsi), %rax + mulq 0x80(%rsi) + movq %rax, %r15 + movq %rdx, %rcx + movq 0x70(%rsi), %rbx + movq 0x60(%rsi), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + movq 0x68(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rbp, %rbp + movq 0x68(%rsi), %rbx + movq 0x78(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x80(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rbp, %rbp + movq 0x88(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq $0x0, %rcx + movq 0x80(%rsi), %rbx + movq 0x60(%rsi), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x70(%rsi), %rbx + movq 0x78(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rbp, %rbp + movq 0x80(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + movq 0x88(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r15 + adcq %rdx, %rcx + sbbq %rbp, %rbp + xorl %ebx, %ebx + movq 0x78(%rsi), %rax + mulq 0x88(%rsi) + subq %rbp, %rdx + xorl %ebp, %ebp + addq %rax, %rcx + adcq %rdx, %rbx + adcl %ebp, %ebp + movq 0x80(%rsi), %rax + mulq 0x88(%rsi) + addq %rax, %rbx + adcq %rdx, %rbp + xorl %r8d, %r8d + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %r15, %r15 + adcq %rcx, %rcx + adcq %rbx, %rbx + adcq %rbp, %rbp + adcl %r8d, %r8d + movq 0x60(%rsi), %rax + mulq %rax + movq %r8, (%rsp) + movq %rax, %r8 + movq 0x68(%rsi), %rax + movq %rbp, 0x8(%rsp) + addq %rdx, %r9 + sbbq %rbp, %rbp + mulq %rax + negq %rbp + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + movq 0x70(%rsi), %rax + mulq %rax + negq %rbp + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x78(%rsi), %rax + mulq %rax + negq %rbp + adcq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + movq 0x80(%rsi), %rax + mulq %rax + negq %rbp + adcq %rax, %rcx + adcq %rdx, %rbx + sbbq %rbp, %rbp + movq 0x88(%rsi), %rax + mulq %rax + negq %rbp + adcq 0x8(%rsp), %rax + adcq (%rsp), %rdx + movq %rax, %rbp + movq %rdx, %rdi + movq %rbx, (%rsp) + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r8 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r8, %r9 + sbbq %rdx, %r10 + sbbq %rax, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + movq %rbx, %r8 + sbbq $0x0, %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r9 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r9, %r10 + sbbq %rdx, %r11 + sbbq %rax, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r8 + movq %rbx, %r9 + sbbq $0x0, %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r10 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r10, %r11 + sbbq %rdx, %r12 + sbbq %rax, %r13 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + movq %rbx, %r10 + sbbq $0x0, %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r11 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r11, %r12 + sbbq %rdx, %r13 + sbbq %rax, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + movq %rbx, %r11 + sbbq $0x0, %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r12 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r12, %r13 + sbbq %rdx, %r8 + sbbq %rax, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %r11 + movq %rbx, %r12 + sbbq $0x0, %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r13 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r13, %r8 + sbbq %rdx, %r9 + sbbq %rax, %r10 + sbbq $0x0, %r11 + sbbq $0x0, %r12 + movq %rbx, %r13 + sbbq $0x0, %r13 + movq (%rsp), %rbx + addq %r8, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r11, %rbx + adcq %r12, %rbp + adcq %r13, %rdi + movl $0x0, %r8d + adcq %r8, %r8 + xorq %r11, %r11 + xorq %r12, %r12 + xorq %r13, %r13 + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %r9d + adcq %r15, %r9 + movl $0x1, %r10d + adcq %rcx, %r10 + adcq %rbx, %r11 + adcq %rbp, %r12 + adcq %rdi, %r13 + adcq $0x0, %r8 + cmovneq %rax, %r14 + cmovneq %r9, %r15 + cmovneq %r10, %rcx + cmovneq %r11, %rbx + cmovneq %r12, %rbp + cmovneq %r13, %rdi + movq %r14, (%rsp) + movq %r15, 0x8(%rsp) + movq %rcx, 0x10(%rsp) + movq %rbx, 0x18(%rsp) + movq %rbp, 0x20(%rsp) + movq %rdi, 0x28(%rsp) + movq 0x30(%rsi), %rbx + movq 0x38(%rsi), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x48(%rsi), %rax + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x58(%rsi), %rax + mulq %rbx + movq %rax, %r13 + movq %rdx, %r14 + movq 0x48(%rsi), %rax + mulq 0x50(%rsi) + movq %rax, %r15 + movq %rdx, %rcx + movq 0x40(%rsi), %rbx + movq 0x30(%rsi), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + movq 0x38(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rbp, %rbp + movq 0x38(%rsi), %rbx + movq 0x48(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x50(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rbp, %rbp + movq 0x58(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq $0x0, %rcx + movq 0x50(%rsi), %rbx + movq 0x30(%rsi), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x40(%rsi), %rbx + movq 0x48(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rbp, %rbp + movq 0x50(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + movq 0x58(%rsi), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r15 + adcq %rdx, %rcx + sbbq %rbp, %rbp + xorl %ebx, %ebx + movq 0x48(%rsi), %rax + mulq 0x58(%rsi) + subq %rbp, %rdx + xorl %ebp, %ebp + addq %rax, %rcx + adcq %rdx, %rbx + adcl %ebp, %ebp + movq 0x50(%rsi), %rax + mulq 0x58(%rsi) + addq %rax, %rbx + adcq %rdx, %rbp + xorl %r8d, %r8d + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %r15, %r15 + adcq %rcx, %rcx + adcq %rbx, %rbx + adcq %rbp, %rbp + adcl %r8d, %r8d + movq 0x30(%rsi), %rax + mulq %rax + movq %r8, 0x30(%rsp) + movq %rax, %r8 + movq 0x38(%rsi), %rax + movq %rbp, 0x38(%rsp) + addq %rdx, %r9 + sbbq %rbp, %rbp + mulq %rax + negq %rbp + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + movq 0x40(%rsi), %rax + mulq %rax + negq %rbp + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x48(%rsi), %rax + mulq %rax + negq %rbp + adcq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + movq 0x50(%rsi), %rax + mulq %rax + negq %rbp + adcq %rax, %rcx + adcq %rdx, %rbx + sbbq %rbp, %rbp + movq 0x58(%rsi), %rax + mulq %rax + negq %rbp + adcq 0x38(%rsp), %rax + adcq 0x30(%rsp), %rdx + movq %rax, %rbp + movq %rdx, %rdi + movq %rbx, 0x30(%rsp) + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r8 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r8, %r9 + sbbq %rdx, %r10 + sbbq %rax, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + movq %rbx, %r8 + sbbq $0x0, %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r9 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r9, %r10 + sbbq %rdx, %r11 + sbbq %rax, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r8 + movq %rbx, %r9 + sbbq $0x0, %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r10 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r10, %r11 + sbbq %rdx, %r12 + sbbq %rax, %r13 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + movq %rbx, %r10 + sbbq $0x0, %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r11 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r11, %r12 + sbbq %rdx, %r13 + sbbq %rax, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + movq %rbx, %r11 + sbbq $0x0, %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r12 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r12, %r13 + sbbq %rdx, %r8 + sbbq %rax, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %r11 + movq %rbx, %r12 + sbbq $0x0, %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r13 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r13, %r8 + sbbq %rdx, %r9 + sbbq %rax, %r10 + sbbq $0x0, %r11 + sbbq $0x0, %r12 + movq %rbx, %r13 + sbbq $0x0, %r13 + movq 0x30(%rsp), %rbx + addq %r8, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r11, %rbx + adcq %r12, %rbp + adcq %r13, %rdi + movl $0x0, %r8d + adcq %r8, %r8 + xorq %r11, %r11 + xorq %r12, %r12 + xorq %r13, %r13 + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %r9d + adcq %r15, %r9 + movl $0x1, %r10d + adcq %rcx, %r10 + adcq %rbx, %r11 + adcq %rbp, %r12 + adcq %rdi, %r13 + adcq $0x0, %r8 + cmovneq %rax, %r14 + cmovneq %r9, %r15 + cmovneq %r10, %rcx + cmovneq %r11, %rbx + cmovneq %r12, %rbp + cmovneq %r13, %rdi + movq %r14, 0x30(%rsp) + movq %r15, 0x38(%rsp) + movq %rcx, 0x40(%rsp) + movq %rbx, 0x48(%rsp) + movq %rbp, 0x50(%rsp) + movq %rdi, 0x58(%rsp) + movq (%rsi), %rax + addq (%rsp), %rax + movq 0x8(%rsi), %rcx + adcq 0x8(%rsp), %rcx + movq 0x10(%rsi), %r8 + adcq 0x10(%rsp), %r8 + movq 0x18(%rsi), %r9 + adcq 0x18(%rsp), %r9 + movq 0x20(%rsi), %r10 + adcq 0x20(%rsp), %r10 + movq 0x28(%rsi), %r11 + adcq 0x28(%rsp), %r11 + sbbq %rdx, %rdx + movl $0x1, %ebx + andq %rdx, %rbx + movl $0xffffffff, %ebp + andq %rbp, %rdx + xorq %rbp, %rbp + subq %rdx, %rbp + addq %rbp, %rax + movq %rax, 0xf0(%rsp) + adcq %rdx, %rcx + movq %rcx, 0xf8(%rsp) + adcq %rbx, %r8 + movq %r8, 0x100(%rsp) + adcq $0x0, %r9 + movq %r9, 0x108(%rsp) + adcq $0x0, %r10 + movq %r10, 0x110(%rsp) + adcq $0x0, %r11 + movq %r11, 0x118(%rsp) + movq (%rsi), %rax + subq (%rsp), %rax + movq 0x8(%rsi), %rdx + sbbq 0x8(%rsp), %rdx + movq 0x10(%rsi), %r8 + sbbq 0x10(%rsp), %r8 + movq 0x18(%rsi), %r9 + sbbq 0x18(%rsp), %r9 + movq 0x20(%rsi), %r10 + sbbq 0x20(%rsp), %r10 + movq 0x28(%rsi), %r11 + sbbq 0x28(%rsp), %r11 + sbbq %rcx, %rcx + movl $0xffffffff, %ebx + andq %rbx, %rcx + xorq %rbx, %rbx + subq %rcx, %rbx + subq %rbx, %rax + movq %rax, 0xc0(%rsp) + sbbq %rcx, %rdx + movq %rdx, 0xc8(%rsp) + sbbq %rax, %rax + andq %rbx, %rcx + negq %rax + sbbq %rcx, %r8 + movq %r8, 0xd0(%rsp) + sbbq $0x0, %r9 + movq %r9, 0xd8(%rsp) + sbbq $0x0, %r10 + movq %r10, 0xe0(%rsp) + sbbq $0x0, %r11 + movq %r11, 0xe8(%rsp) + movq 0xc0(%rsp), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0xf8(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x100(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x108(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x110(%rsp), %rax + mulq %rbx + xorl %r13d, %r13d + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x118(%rsp), %rax + mulq %rbx + xorl %r14d, %r14d + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r8, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rdx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rbx + addq %rbx, %r14 + adcq $0x0, %r15 + movq 0xc8(%rsp), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r8, %r8 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r8, %r8 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r8, %r8 + negq %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r9, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rdx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rbx + addq %rbx, %r15 + adcq $0x0, %r8 + movq 0xd0(%rsp), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r9, %r9 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r9, %r9 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r9, %r9 + negq %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r10, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rdx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rbx + addq %rbx, %r8 + adcq $0x0, %r9 + movq 0xd8(%rsp), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r10, %r10 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r10, %r10 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r10, %r10 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r10, %r10 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r10, %r10 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r10, %r10 + negq %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r11, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rdx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rbx + addq %rbx, %r9 + adcq $0x0, %r10 + movq 0xe0(%rsp), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r11, %r11 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r11, %r11 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r11, %r11 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r11, %r11 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r11, %r11 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r11, %r11 + negq %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r12, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rdx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rbx + addq %rbx, %r10 + adcq $0x0, %r11 + movq 0xe8(%rsp), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r12, %r12 + movq 0xf8(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r12, %r12 + movq 0x100(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r12, %r12 + movq 0x108(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r12, %r12 + movq 0x110(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r12, %r12 + movq 0x118(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r12, %r12 + negq %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r13, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rdx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rbx + addq %rbx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0x60(%rsp) + movq %r15, 0x68(%rsp) + movq %r8, 0x70(%rsp) + movq %r9, 0x78(%rsp) + movq %r10, 0x80(%rsp) + movq %r11, 0x88(%rsp) + movq 0x30(%rsi), %rax + addq 0x60(%rsi), %rax + movq 0x38(%rsi), %rcx + adcq 0x68(%rsi), %rcx + movq 0x40(%rsi), %r8 + adcq 0x70(%rsi), %r8 + movq 0x48(%rsi), %r9 + adcq 0x78(%rsi), %r9 + movq 0x50(%rsi), %r10 + adcq 0x80(%rsi), %r10 + movq 0x58(%rsi), %r11 + adcq 0x88(%rsi), %r11 + movl $0x0, %edx + adcq %rdx, %rdx + movabsq $0xffffffff00000001, %rbp + addq %rbp, %rax + movl $0xffffffff, %ebp + adcq %rbp, %rcx + adcq $0x1, %r8 + adcq $0x0, %r9 + adcq $0x0, %r10 + adcq $0x0, %r11 + adcq $0xffffffffffffffff, %rdx + movl $0x1, %ebx + andq %rdx, %rbx + andq %rbp, %rdx + xorq %rbp, %rbp + subq %rdx, %rbp + subq %rbp, %rax + movq %rax, 0xf0(%rsp) + sbbq %rdx, %rcx + movq %rcx, 0xf8(%rsp) + sbbq %rbx, %r8 + movq %r8, 0x100(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x108(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x110(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x118(%rsp) + movq 0x60(%rsp), %rbx + movq 0x68(%rsp), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x78(%rsp), %rax + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x88(%rsp), %rax + mulq %rbx + movq %rax, %r13 + movq %rdx, %r14 + movq 0x78(%rsp), %rax + mulq 0x80(%rsp) + movq %rax, %r15 + movq %rdx, %rcx + movq 0x70(%rsp), %rbx + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + movq 0x68(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rbp, %rbp + movq 0x68(%rsp), %rbx + movq 0x78(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x80(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rbp, %rbp + movq 0x88(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq $0x0, %rcx + movq 0x80(%rsp), %rbx + movq 0x60(%rsp), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x70(%rsp), %rbx + movq 0x78(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rbp, %rbp + movq 0x80(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + movq 0x88(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r15 + adcq %rdx, %rcx + sbbq %rbp, %rbp + xorl %ebx, %ebx + movq 0x78(%rsp), %rax + mulq 0x88(%rsp) + subq %rbp, %rdx + xorl %ebp, %ebp + addq %rax, %rcx + adcq %rdx, %rbx + adcl %ebp, %ebp + movq 0x80(%rsp), %rax + mulq 0x88(%rsp) + addq %rax, %rbx + adcq %rdx, %rbp + xorl %r8d, %r8d + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %r15, %r15 + adcq %rcx, %rcx + adcq %rbx, %rbx + adcq %rbp, %rbp + adcl %r8d, %r8d + movq 0x60(%rsp), %rax + mulq %rax + movq %r8, 0x120(%rsp) + movq %rax, %r8 + movq 0x68(%rsp), %rax + movq %rbp, 0x128(%rsp) + addq %rdx, %r9 + sbbq %rbp, %rbp + mulq %rax + negq %rbp + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + movq 0x70(%rsp), %rax + mulq %rax + negq %rbp + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x78(%rsp), %rax + mulq %rax + negq %rbp + adcq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + movq 0x80(%rsp), %rax + mulq %rax + negq %rbp + adcq %rax, %rcx + adcq %rdx, %rbx + sbbq %rbp, %rbp + movq 0x88(%rsp), %rax + mulq %rax + negq %rbp + adcq 0x128(%rsp), %rax + adcq 0x120(%rsp), %rdx + movq %rax, %rbp + movq %rdx, %rdi + movq %rbx, 0x120(%rsp) + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r8 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r8, %r9 + sbbq %rdx, %r10 + sbbq %rax, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + movq %rbx, %r8 + sbbq $0x0, %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r9 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r9, %r10 + sbbq %rdx, %r11 + sbbq %rax, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r8 + movq %rbx, %r9 + sbbq $0x0, %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r10 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r10, %r11 + sbbq %rdx, %r12 + sbbq %rax, %r13 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + movq %rbx, %r10 + sbbq $0x0, %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r11 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r11, %r12 + sbbq %rdx, %r13 + sbbq %rax, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + movq %rbx, %r11 + sbbq $0x0, %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r12 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r12, %r13 + sbbq %rdx, %r8 + sbbq %rax, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %r11 + movq %rbx, %r12 + sbbq $0x0, %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r13 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r13, %r8 + sbbq %rdx, %r9 + sbbq %rax, %r10 + sbbq $0x0, %r11 + sbbq $0x0, %r12 + movq %rbx, %r13 + sbbq $0x0, %r13 + movq 0x120(%rsp), %rbx + addq %r8, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r11, %rbx + adcq %r12, %rbp + adcq %r13, %rdi + movl $0x0, %r8d + adcq %r8, %r8 + xorq %r11, %r11 + xorq %r12, %r12 + xorq %r13, %r13 + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %r9d + adcq %r15, %r9 + movl $0x1, %r10d + adcq %rcx, %r10 + adcq %rbx, %r11 + adcq %rbp, %r12 + adcq %rdi, %r13 + adcq $0x0, %r8 + cmovneq %rax, %r14 + cmovneq %r9, %r15 + cmovneq %r10, %rcx + cmovneq %r11, %rbx + cmovneq %r12, %rbp + cmovneq %r13, %rdi + movq %r14, 0x120(%rsp) + movq %r15, 0x128(%rsp) + movq %rcx, 0x130(%rsp) + movq %rbx, 0x138(%rsp) + movq %rbp, 0x140(%rsp) + movq %rdi, 0x148(%rsp) + movq 0x30(%rsp), %rbx + movq (%rsi), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x8(%rsi), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x10(%rsi), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x18(%rsi), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x20(%rsi), %rax + mulq %rbx + xorl %r13d, %r13d + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x28(%rsi), %rax + mulq %rbx + xorl %r14d, %r14d + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r8, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rdx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rbx + addq %rbx, %r14 + adcq $0x0, %r15 + movq 0x38(%rsp), %rbx + movq (%rsi), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r8, %r8 + movq 0x8(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x10(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x18(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x20(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r8, %r8 + movq 0x28(%rsi), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r8, %r8 + negq %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r9, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rdx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rbx + addq %rbx, %r15 + adcq $0x0, %r8 + movq 0x40(%rsp), %rbx + movq (%rsi), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r9, %r9 + movq 0x8(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x10(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x18(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x20(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r9, %r9 + movq 0x28(%rsi), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r9, %r9 + negq %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r10, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rdx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rbx + addq %rbx, %r8 + adcq $0x0, %r9 + movq 0x48(%rsp), %rbx + movq (%rsi), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r10, %r10 + movq 0x8(%rsi), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r10, %r10 + movq 0x10(%rsi), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r10, %r10 + movq 0x18(%rsi), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r10, %r10 + movq 0x20(%rsi), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r10, %r10 + movq 0x28(%rsi), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r10, %r10 + negq %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r11, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rdx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rbx + addq %rbx, %r9 + adcq $0x0, %r10 + movq 0x50(%rsp), %rbx + movq (%rsi), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r11, %r11 + movq 0x8(%rsi), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r11, %r11 + movq 0x10(%rsi), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r11, %r11 + movq 0x18(%rsi), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r11, %r11 + movq 0x20(%rsi), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r11, %r11 + movq 0x28(%rsi), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r11, %r11 + negq %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r12, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rdx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rbx + addq %rbx, %r10 + adcq $0x0, %r11 + movq 0x58(%rsp), %rbx + movq (%rsi), %rax + mulq %rbx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r12, %r12 + movq 0x8(%rsi), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r12, %r12 + movq 0x10(%rsi), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r12, %r12 + movq 0x18(%rsi), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r12, %r12 + movq 0x20(%rsi), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r12, %r12 + movq 0x28(%rsi), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r12, %r12 + negq %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r13, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rdx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rbx + addq %rbx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0x90(%rsp) + movq %r15, 0x98(%rsp) + movq %r8, 0xa0(%rsp) + movq %r9, 0xa8(%rsp) + movq %r10, 0xb0(%rsp) + movq %r11, 0xb8(%rsp) + movq 0xf0(%rsp), %rbx + movq 0xf8(%rsp), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x108(%rsp), %rax + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x118(%rsp), %rax + mulq %rbx + movq %rax, %r13 + movq %rdx, %r14 + movq 0x108(%rsp), %rax + mulq 0x110(%rsp) + movq %rax, %r15 + movq %rdx, %rcx + movq 0x100(%rsp), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + movq 0xf8(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rbp, %rbp + movq 0xf8(%rsp), %rbx + movq 0x108(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x110(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rbp, %rbp + movq 0x118(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq $0x0, %rcx + movq 0x110(%rsp), %rbx + movq 0xf0(%rsp), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x100(%rsp), %rbx + movq 0x108(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rbp, %rbp + movq 0x110(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + movq 0x118(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r15 + adcq %rdx, %rcx + sbbq %rbp, %rbp + xorl %ebx, %ebx + movq 0x108(%rsp), %rax + mulq 0x118(%rsp) + subq %rbp, %rdx + xorl %ebp, %ebp + addq %rax, %rcx + adcq %rdx, %rbx + adcl %ebp, %ebp + movq 0x110(%rsp), %rax + mulq 0x118(%rsp) + addq %rax, %rbx + adcq %rdx, %rbp + xorl %r8d, %r8d + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %r15, %r15 + adcq %rcx, %rcx + adcq %rbx, %rbx + adcq %rbp, %rbp + adcl %r8d, %r8d + movq 0xf0(%rsp), %rax + mulq %rax + movq %r8, 0xc0(%rsp) + movq %rax, %r8 + movq 0xf8(%rsp), %rax + movq %rbp, 0xc8(%rsp) + addq %rdx, %r9 + sbbq %rbp, %rbp + mulq %rax + negq %rbp + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + movq 0x100(%rsp), %rax + mulq %rax + negq %rbp + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x108(%rsp), %rax + mulq %rax + negq %rbp + adcq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + movq 0x110(%rsp), %rax + mulq %rax + negq %rbp + adcq %rax, %rcx + adcq %rdx, %rbx + sbbq %rbp, %rbp + movq 0x118(%rsp), %rax + mulq %rax + negq %rbp + adcq 0xc8(%rsp), %rax + adcq 0xc0(%rsp), %rdx + movq %rax, %rbp + movq %rdx, %rdi + movq %rbx, 0xc0(%rsp) + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r8 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r8, %r9 + sbbq %rdx, %r10 + sbbq %rax, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + movq %rbx, %r8 + sbbq $0x0, %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r9 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r9, %r10 + sbbq %rdx, %r11 + sbbq %rax, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r8 + movq %rbx, %r9 + sbbq $0x0, %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r10 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r10, %r11 + sbbq %rdx, %r12 + sbbq %rax, %r13 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + movq %rbx, %r10 + sbbq $0x0, %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r11 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r11, %r12 + sbbq %rdx, %r13 + sbbq %rax, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + movq %rbx, %r11 + sbbq $0x0, %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r12 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r12, %r13 + sbbq %rdx, %r8 + sbbq %rax, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %r11 + movq %rbx, %r12 + sbbq $0x0, %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r13 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r13, %r8 + sbbq %rdx, %r9 + sbbq %rax, %r10 + sbbq $0x0, %r11 + sbbq $0x0, %r12 + movq %rbx, %r13 + sbbq $0x0, %r13 + movq 0xc0(%rsp), %rbx + addq %r8, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r11, %rbx + adcq %r12, %rbp + adcq %r13, %rdi + movl $0x0, %r8d + adcq %r8, %r8 + xorq %r11, %r11 + xorq %r12, %r12 + xorq %r13, %r13 + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %r9d + adcq %r15, %r9 + movl $0x1, %r10d + adcq %rcx, %r10 + adcq %rbx, %r11 + adcq %rbp, %r12 + adcq %rdi, %r13 + adcq $0x0, %r8 + cmovneq %rax, %r14 + cmovneq %r9, %r15 + cmovneq %r10, %rcx + cmovneq %r11, %rbx + cmovneq %r12, %rbp + cmovneq %r13, %rdi + movq %r14, 0xc0(%rsp) + movq %r15, 0xc8(%rsp) + movq %rcx, 0xd0(%rsp) + movq %rbx, 0xd8(%rsp) + movq %rbp, 0xe0(%rsp) + movq %rdi, 0xe8(%rsp) + movabsq $0xffffffff, %r9 + subq 0x120(%rsp), %r9 + movabsq $0xffffffff00000000, %r10 + sbbq 0x128(%rsp), %r10 + movq $0xfffffffffffffffe, %r11 + sbbq 0x130(%rsp), %r11 + movq $0xffffffffffffffff, %r12 + sbbq 0x138(%rsp), %r12 + movq $0xffffffffffffffff, %r13 + sbbq 0x140(%rsp), %r13 + movq $0xffffffffffffffff, %r14 + sbbq 0x148(%rsp), %r14 + movq $0x9, %rcx + movq %r9, %rax + mulq %rcx + movq %rax, %r8 + movq %rdx, %r9 + movq %r10, %rax + xorl %r10d, %r10d + mulq %rcx + addq %rax, %r9 + adcq %rdx, %r10 + movq %r11, %rax + xorl %r11d, %r11d + mulq %rcx + addq %rax, %r10 + adcq %rdx, %r11 + movq %r12, %rax + xorl %r12d, %r12d + mulq %rcx + addq %rax, %r11 + adcq %rdx, %r12 + movq %r13, %rax + xorl %r13d, %r13d + mulq %rcx + addq %rax, %r12 + adcq %rdx, %r13 + movq %r14, %rax + movl $0x1, %r14d + mulq %rcx + addq %rax, %r13 + adcq %rdx, %r14 + movl $0xc, %ecx + movq 0x90(%rsp), %rax + mulq %rcx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %rbx, %rbx + movq 0x98(%rsp), %rax + mulq %rcx + subq %rbx, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rbx, %rbx + movq 0xa0(%rsp), %rax + mulq %rcx + subq %rbx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbx, %rbx + movq 0xa8(%rsp), %rax + mulq %rcx + subq %rbx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rbx, %rbx + movq 0xb0(%rsp), %rax + mulq %rcx + subq %rbx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbx, %rbx + movq 0xb8(%rsp), %rax + mulq %rcx + subq %rbx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + movabsq $0xffffffff00000001, %rax + mulq %r14 + addq %rax, %r8 + adcq %rdx, %r9 + adcq %r14, %r10 + movq %r14, %rax + sbbq %rcx, %rcx + movl $0xffffffff, %edx + negq %rcx + mulq %rdx + addq %rax, %r9 + adcq %rdx, %r10 + adcq %rcx, %r11 + adcq $0x0, %r12 + adcq $0x0, %r13 + sbbq %rcx, %rcx + notq %rcx + movl $0xffffffff, %edx + xorq %rax, %rax + andq %rcx, %rdx + subq %rdx, %rax + andq $0x1, %rcx + subq %rax, %r8 + movq %r8, 0x120(%rsp) + sbbq %rdx, %r9 + movq %r9, 0x128(%rsp) + sbbq %rcx, %r10 + movq %r10, 0x130(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x138(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x140(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x148(%rsp) + movq 0xc0(%rsp), %rax + subq (%rsp), %rax + movq 0xc8(%rsp), %rdx + sbbq 0x8(%rsp), %rdx + movq 0xd0(%rsp), %r8 + sbbq 0x10(%rsp), %r8 + movq 0xd8(%rsp), %r9 + sbbq 0x18(%rsp), %r9 + movq 0xe0(%rsp), %r10 + sbbq 0x20(%rsp), %r10 + movq 0xe8(%rsp), %r11 + sbbq 0x28(%rsp), %r11 + sbbq %rcx, %rcx + movl $0xffffffff, %ebx + andq %rbx, %rcx + xorq %rbx, %rbx + subq %rcx, %rbx + subq %rbx, %rax + movq %rax, 0xf0(%rsp) + sbbq %rcx, %rdx + movq %rdx, 0xf8(%rsp) + sbbq %rax, %rax + andq %rbx, %rcx + negq %rax + sbbq %rcx, %r8 + movq %r8, 0x100(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x108(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x110(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x118(%rsp) + movq 0x30(%rsp), %rbx + movq 0x38(%rsp), %rax + mulq %rbx + movq %rax, %r9 + movq %rdx, %r10 + movq 0x48(%rsp), %rax + mulq %rbx + movq %rax, %r11 + movq %rdx, %r12 + movq 0x58(%rsp), %rax + mulq %rbx + movq %rax, %r13 + movq %rdx, %r14 + movq 0x48(%rsp), %rax + mulq 0x50(%rsp) + movq %rax, %r15 + movq %rdx, %rcx + movq 0x40(%rsp), %rbx + movq 0x30(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + movq 0x38(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rbp, %rbp + movq 0x38(%rsp), %rbx + movq 0x48(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x50(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rbp, %rbp + movq 0x58(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + adcq $0x0, %rcx + movq 0x50(%rsp), %rbx + movq 0x30(%rsp), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x40(%rsp), %rbx + movq 0x48(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rbp, %rbp + movq 0x50(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + movq 0x58(%rsp), %rax + mulq %rbx + subq %rbp, %rdx + addq %rax, %r15 + adcq %rdx, %rcx + sbbq %rbp, %rbp + xorl %ebx, %ebx + movq 0x48(%rsp), %rax + mulq 0x58(%rsp) + subq %rbp, %rdx + xorl %ebp, %ebp + addq %rax, %rcx + adcq %rdx, %rbx + adcl %ebp, %ebp + movq 0x50(%rsp), %rax + mulq 0x58(%rsp) + addq %rax, %rbx + adcq %rdx, %rbp + xorl %r8d, %r8d + addq %r9, %r9 + adcq %r10, %r10 + adcq %r11, %r11 + adcq %r12, %r12 + adcq %r13, %r13 + adcq %r14, %r14 + adcq %r15, %r15 + adcq %rcx, %rcx + adcq %rbx, %rbx + adcq %rbp, %rbp + adcl %r8d, %r8d + movq 0x30(%rsp), %rax + mulq %rax + movq %r8, 0xc0(%rsp) + movq %rax, %r8 + movq 0x38(%rsp), %rax + movq %rbp, 0xc8(%rsp) + addq %rdx, %r9 + sbbq %rbp, %rbp + mulq %rax + negq %rbp + adcq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + movq 0x40(%rsp), %rax + mulq %rax + negq %rbp + adcq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x48(%rsp), %rax + mulq %rax + negq %rbp + adcq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + movq 0x50(%rsp), %rax + mulq %rax + negq %rbp + adcq %rax, %rcx + adcq %rdx, %rbx + sbbq %rbp, %rbp + movq 0x58(%rsp), %rax + mulq %rax + negq %rbp + adcq 0xc8(%rsp), %rax + adcq 0xc0(%rsp), %rdx + movq %rax, %rbp + movq %rdx, %rdi + movq %rbx, 0xc0(%rsp) + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r8 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r8, %r9 + sbbq %rdx, %r10 + sbbq %rax, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + movq %rbx, %r8 + sbbq $0x0, %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r9 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r9, %r10 + sbbq %rdx, %r11 + sbbq %rax, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r8 + movq %rbx, %r9 + sbbq $0x0, %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r10 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r10, %r11 + sbbq %rdx, %r12 + sbbq %rax, %r13 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + movq %rbx, %r10 + sbbq $0x0, %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r11 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r11, %r12 + sbbq %rdx, %r13 + sbbq %rax, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + movq %rbx, %r11 + sbbq $0x0, %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r12 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r12, %r13 + sbbq %rdx, %r8 + sbbq %rax, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %r11 + movq %rbx, %r12 + sbbq $0x0, %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %rax, %r13 + movl $0x0, %eax + adcq %rbx, %rdx + adcl %eax, %eax + subq %r13, %r8 + sbbq %rdx, %r9 + sbbq %rax, %r10 + sbbq $0x0, %r11 + sbbq $0x0, %r12 + movq %rbx, %r13 + sbbq $0x0, %r13 + movq 0xc0(%rsp), %rbx + addq %r8, %r14 + adcq %r9, %r15 + adcq %r10, %rcx + adcq %r11, %rbx + adcq %r12, %rbp + adcq %r13, %rdi + movl $0x0, %r8d + adcq %r8, %r8 + xorq %r11, %r11 + xorq %r12, %r12 + xorq %r13, %r13 + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %r9d + adcq %r15, %r9 + movl $0x1, %r10d + adcq %rcx, %r10 + adcq %rbx, %r11 + adcq %rbp, %r12 + adcq %rdi, %r13 + adcq $0x0, %r8 + cmovneq %rax, %r14 + cmovneq %r9, %r15 + cmovneq %r10, %rcx + cmovneq %r11, %rbx + cmovneq %r12, %rbp + cmovneq %r13, %rdi + movq %r14, 0xc0(%rsp) + movq %r15, 0xc8(%rsp) + movq %rcx, 0xd0(%rsp) + movq %rbx, 0xd8(%rsp) + movq %rbp, 0xe0(%rsp) + movq %rdi, 0xe8(%rsp) + movq 0x150(%rsp), %rdi + movq 0xf0(%rsp), %rax + subq 0x30(%rsp), %rax + movq 0xf8(%rsp), %rdx + sbbq 0x38(%rsp), %rdx + movq 0x100(%rsp), %r8 + sbbq 0x40(%rsp), %r8 + movq 0x108(%rsp), %r9 + sbbq 0x48(%rsp), %r9 + movq 0x110(%rsp), %r10 + sbbq 0x50(%rsp), %r10 + movq 0x118(%rsp), %r11 + sbbq 0x58(%rsp), %r11 + sbbq %rcx, %rcx + movl $0xffffffff, %ebx + andq %rbx, %rcx + xorq %rbx, %rbx + subq %rcx, %rbx + subq %rbx, %rax + movq %rax, 0x60(%rdi) + sbbq %rcx, %rdx + movq %rdx, 0x68(%rdi) + sbbq %rax, %rax + andq %rbx, %rcx + negq %rax + sbbq %rcx, %r8 + movq %r8, 0x70(%rdi) + sbbq $0x0, %r9 + movq %r9, 0x78(%rdi) + sbbq $0x0, %r10 + movq %r10, 0x80(%rdi) + sbbq $0x0, %r11 + movq %r11, 0x88(%rdi) + movq 0x60(%rsp), %rbx + movq 0x120(%rsp), %rax + mulq %rbx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x128(%rsp), %rax + mulq %rbx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x130(%rsp), %rax + mulq %rbx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x138(%rsp), %rax + mulq %rbx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x140(%rsp), %rax + mulq %rbx + xorl %r13d, %r13d + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x148(%rsp), %rax + mulq %rbx + xorl %r14d, %r14d + addq %rax, %r13 + adcq %rdx, %r14 + xorl %r15d, %r15d + movq %r8, %rbx + shlq $0x20, %rbx + addq %r8, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r8 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r8, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r9 + sbbq %rdx, %r10 + sbbq %rbp, %r11 + sbbq $0x0, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %rbx + addq %rbx, %r14 + adcq $0x0, %r15 + movq 0x68(%rsp), %rbx + movq 0x120(%rsp), %rax + mulq %rbx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r8, %r8 + movq 0x128(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r8, %r8 + movq 0x130(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r8, %r8 + movq 0x138(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r8, %r8 + movq 0x140(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r8, %r8 + movq 0x148(%rsp), %rax + mulq %rbx + subq %r8, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r8, %r8 + negq %r8 + movq %r9, %rbx + shlq $0x20, %rbx + addq %r9, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r9 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r9, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r10 + sbbq %rdx, %r11 + sbbq %rbp, %r12 + sbbq $0x0, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %rbx + addq %rbx, %r15 + adcq $0x0, %r8 + movq 0x70(%rsp), %rbx + movq 0x120(%rsp), %rax + mulq %rbx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r9, %r9 + movq 0x128(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r9, %r9 + movq 0x130(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r9, %r9 + movq 0x138(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r9, %r9 + movq 0x140(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r9, %r9 + movq 0x148(%rsp), %rax + mulq %rbx + subq %r9, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r9, %r9 + negq %r9 + movq %r10, %rbx + shlq $0x20, %rbx + addq %r10, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r10 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r10, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r11 + sbbq %rdx, %r12 + sbbq %rbp, %r13 + sbbq $0x0, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %rbx + addq %rbx, %r8 + adcq $0x0, %r9 + movq 0x78(%rsp), %rbx + movq 0x120(%rsp), %rax + mulq %rbx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %r10, %r10 + movq 0x128(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r10, %r10 + movq 0x130(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r10, %r10 + movq 0x138(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r10, %r10 + movq 0x140(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r10, %r10 + movq 0x148(%rsp), %rax + mulq %rbx + subq %r10, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r10, %r10 + negq %r10 + movq %r11, %rbx + shlq $0x20, %rbx + addq %r11, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r11 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r11, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r12 + sbbq %rdx, %r13 + sbbq %rbp, %r14 + sbbq $0x0, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %rbx + addq %rbx, %r9 + adcq $0x0, %r10 + movq 0x80(%rsp), %rbx + movq 0x120(%rsp), %rax + mulq %rbx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %r11, %r11 + movq 0x128(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r11, %r11 + movq 0x130(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r11, %r11 + movq 0x138(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r11, %r11 + movq 0x140(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r11, %r11 + movq 0x148(%rsp), %rax + mulq %rbx + subq %r11, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r11, %r11 + negq %r11 + movq %r12, %rbx + shlq $0x20, %rbx + addq %r12, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r12 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r12, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r13 + sbbq %rdx, %r14 + sbbq %rbp, %r15 + sbbq $0x0, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %rbx + addq %rbx, %r10 + adcq $0x0, %r11 + movq 0x88(%rsp), %rbx + movq 0x120(%rsp), %rax + mulq %rbx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %r12, %r12 + movq 0x128(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %r12, %r12 + movq 0x130(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + sbbq %r12, %r12 + movq 0x138(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %r12, %r12 + movq 0x140(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %r12, %r12 + movq 0x148(%rsp), %rax + mulq %rbx + subq %r12, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %r12, %r12 + negq %r12 + movq %r13, %rbx + shlq $0x20, %rbx + addq %r13, %rbx + xorl %ebp, %ebp + movabsq $0xffffffff00000001, %rax + mulq %rbx + movq %rdx, %r13 + movabsq $0xffffffff, %rax + mulq %rbx + addq %r13, %rax + adcq %rbx, %rdx + adcl %ebp, %ebp + subq %rax, %r14 + sbbq %rdx, %r15 + sbbq %rbp, %r8 + sbbq $0x0, %r9 + sbbq $0x0, %r10 + sbbq $0x0, %rbx + addq %rbx, %r11 + adcq $0x0, %r12 + xorl %edx, %edx + xorl %ebp, %ebp + xorl %r13d, %r13d + movabsq $0xffffffff00000001, %rax + addq %r14, %rax + movl $0xffffffff, %ebx + adcq %r15, %rbx + movl $0x1, %ecx + adcq %r8, %rcx + adcq %r9, %rdx + adcq %r10, %rbp + adcq %r11, %r13 + adcq $0x0, %r12 + cmovneq %rax, %r14 + cmovneq %rbx, %r15 + cmovneq %rcx, %r8 + cmovneq %rdx, %r9 + cmovneq %rbp, %r10 + cmovneq %r13, %r11 + movq %r14, 0xf0(%rsp) + movq %r15, 0xf8(%rsp) + movq %r8, 0x100(%rsp) + movq %r9, 0x108(%rsp) + movq %r10, 0x110(%rsp) + movq %r11, 0x118(%rsp) + movq 0xb8(%rsp), %rcx + movq %rcx, %r13 + shrq $0x3e, %rcx + movq 0xb0(%rsp), %r12 + shldq $0x2, %r12, %r13 + movq 0xa8(%rsp), %r11 + shldq $0x2, %r11, %r12 + movq 0xa0(%rsp), %r10 + shldq $0x2, %r10, %r11 + movq 0x98(%rsp), %r9 + shldq $0x2, %r9, %r10 + movq 0x90(%rsp), %r8 + shldq $0x2, %r8, %r9 + shlq $0x2, %r8 + addq $0x1, %rcx + subq 0x120(%rsp), %r8 + sbbq 0x128(%rsp), %r9 + sbbq 0x130(%rsp), %r10 + sbbq 0x138(%rsp), %r11 + sbbq 0x140(%rsp), %r12 + sbbq 0x148(%rsp), %r13 + sbbq $0x0, %rcx + movabsq $0xffffffff00000001, %rax + mulq %rcx + addq %rax, %r8 + adcq %rdx, %r9 + adcq %rcx, %r10 + movq %rcx, %rax + sbbq %rcx, %rcx + movl $0xffffffff, %edx + negq %rcx + mulq %rdx + addq %rax, %r9 + adcq %rdx, %r10 + adcq %rcx, %r11 + adcq $0x0, %r12 + adcq $0x0, %r13 + sbbq %rcx, %rcx + notq %rcx + movl $0xffffffff, %edx + xorq %rax, %rax + andq %rcx, %rdx + subq %rdx, %rax + andq $0x1, %rcx + subq %rax, %r8 + movq %r8, (%rdi) + sbbq %rdx, %r9 + movq %r9, 0x8(%rdi) + sbbq %rcx, %r10 + movq %r10, 0x10(%rdi) + sbbq $0x0, %r11 + movq %r11, 0x18(%rdi) + sbbq $0x0, %r12 + movq %r12, 0x20(%rdi) + sbbq $0x0, %r13 + movq %r13, 0x28(%rdi) + movabsq $0xffffffff, %r8 + subq 0xc0(%rsp), %r8 + movabsq $0xffffffff00000000, %r9 + sbbq 0xc8(%rsp), %r9 + movq $0xfffffffffffffffe, %r10 + sbbq 0xd0(%rsp), %r10 + movq $0xffffffffffffffff, %r11 + sbbq 0xd8(%rsp), %r11 + movq $0xffffffffffffffff, %r12 + sbbq 0xe0(%rsp), %r12 + movq $0xffffffffffffffff, %r13 + sbbq 0xe8(%rsp), %r13 + movq %r13, %r14 + shrq $0x3d, %r14 + shldq $0x3, %r12, %r13 + shldq $0x3, %r11, %r12 + shldq $0x3, %r10, %r11 + shldq $0x3, %r9, %r10 + shldq $0x3, %r8, %r9 + shlq $0x3, %r8 + addq $0x1, %r14 + movl $0x3, %ecx + movq 0xf0(%rsp), %rax + mulq %rcx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %rbx, %rbx + movq 0xf8(%rsp), %rax + mulq %rcx + subq %rbx, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rbx, %rbx + movq 0x100(%rsp), %rax + mulq %rcx + subq %rbx, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbx, %rbx + movq 0x108(%rsp), %rax + mulq %rcx + subq %rbx, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rbx, %rbx + movq 0x110(%rsp), %rax + mulq %rcx + subq %rbx, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbx, %rbx + movq 0x118(%rsp), %rax + mulq %rcx + subq %rbx, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + movabsq $0xffffffff00000001, %rax + mulq %r14 + addq %rax, %r8 + adcq %rdx, %r9 + adcq %r14, %r10 + movq %r14, %rax + sbbq %rcx, %rcx + movl $0xffffffff, %edx + negq %rcx + mulq %rdx + addq %rax, %r9 + adcq %rdx, %r10 + adcq %rcx, %r11 + adcq $0x0, %r12 + adcq $0x0, %r13 + sbbq %rcx, %rcx + notq %rcx + movl $0xffffffff, %edx + xorq %rax, %rax + andq %rcx, %rdx + subq %rdx, %rax + andq $0x1, %rcx + subq %rax, %r8 + movq %r8, 0x30(%rdi) + sbbq %rdx, %r9 + movq %r9, 0x38(%rdi) + sbbq %rcx, %r10 + movq %r10, 0x40(%rdi) + sbbq $0x0, %r11 + movq %r11, 0x48(%rdi) + sbbq $0x0, %r12 + movq %r12, 0x50(%rdi) + sbbq $0x0, %r13 + movq %r13, 0x58(%rdi) + CFI_INC_RSP(344) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp384_montjscalarmul_alt_p384_montjdouble) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/x86_att/p521_jscalarmul.S b/cbits/s2n/x86_att/p521_jscalarmul.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/p521_jscalarmul.S @@ -0,0 +1,2505 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Jacobian form scalar multiplication for P-521 +// Input scalar[9], point[27]; output res[27] +// +// extern void p521_jscalarmul +// (uint64_t res[static 27], +// const uint64_t scalar[static 9], +// const uint64_t point[static 27]); +// +// This function is a variant of its affine point version p521_scalarmul. +// Here, input and output points are assumed to be in Jacobian form with +// a triple (x,y,z) representing the affine point (x/z^2,y/z^3) when +// z is nonzero or the point at infinity (group identity) if z = 0. +// +// Given scalar = n and point = P, assumed to be on the NIST elliptic +// curve P-521, returns a representation of n * P. If the result is the +// point at infinity (either because the input point was or because the +// scalar was a multiple of p_521) then the output is guaranteed to +// represent the point at infinity, i.e. to have its z coordinate zero. +// +// Standard x86-64 ABI: RDI = res, RSI = scalar, RDX = point +// Microsoft x64 ABI: RCX = res, RDX = scalar, R8 = point +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p521_jscalarmul) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p521_jscalarmul) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p521_jscalarmul) + + + .text + .balign 32 + +// Size of individual field elements + +#define NUMSIZE 72 +#define JACSIZE (3*NUMSIZE) + +// Intermediate variables on the stack. +// The table is 16 entries, each of size JACSIZE = 3 * NUMSIZE +// Uppercase syntactic variants make x86_att version simpler to generate. + +#define SCALARB (0*NUMSIZE) +#define scalarb (0*NUMSIZE)(%rsp) +#define ACC (1*NUMSIZE) +#define acc (1*NUMSIZE)(%rsp) +#define TABENT (4*NUMSIZE) +#define tabent (4*NUMSIZE)(%rsp) + +#define TAB (7*NUMSIZE) +#define tab (7*NUMSIZE)(%rsp) + +#define res (55*NUMSIZE)(%rsp) + +#define NSPACE 56*NUMSIZE + +// Avoid using .rep for the sake of the BoringSSL/AWS-LC delocator, +// which doesn't accept repetitions, assembler macros etc. + +#define selectblock(I,C) \ + cmpq $I, %rdi ; \ + cmovzq TAB+JACSIZE*(I-1)+C*NUMSIZE(%rsp), %rax ; \ + cmovzq TAB+JACSIZE*(I-1)+8+C*NUMSIZE(%rsp), %rbx ; \ + cmovzq TAB+JACSIZE*(I-1)+16+C*NUMSIZE(%rsp), %rcx ; \ + cmovzq TAB+JACSIZE*(I-1)+24+C*NUMSIZE(%rsp), %rdx ; \ + cmovzq TAB+JACSIZE*(I-1)+32+C*NUMSIZE(%rsp), %r8 ; \ + cmovzq TAB+JACSIZE*(I-1)+40+C*NUMSIZE(%rsp), %r9 ; \ + cmovzq TAB+JACSIZE*(I-1)+48+C*NUMSIZE(%rsp), %r10 ; \ + cmovzq TAB+JACSIZE*(I-1)+56+C*NUMSIZE(%rsp), %r11 ; \ + cmovzq TAB+JACSIZE*(I-1)+64+C*NUMSIZE(%rsp), %r12 + +S2N_BN_SYMBOL(p521_jscalarmul): + CFI_START + _CET_ENDBR + +// The Windows version literally calls the standard ABI version. +// This simplifies the proofs since subroutine offsets are fixed. + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx + CFI_CALL(Lp521_jscalarmul_standard) + CFI_POP(%rsi) + CFI_POP(%rdi) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p521_jscalarmul) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_standard) + +Lp521_jscalarmul_standard: + CFI_START +#endif + +// Real start of the standard ABI code. + + CFI_PUSH(%r15) + CFI_PUSH(%r14) + CFI_PUSH(%r13) + CFI_PUSH(%r12) + CFI_PUSH(%rbp) + CFI_PUSH(%rbx) + + CFI_DEC_RSP(NSPACE) + +// Preserve the "res" input argument; others get processed early. + + movq %rdi, res + +// Reduce the input scalar mod n_521 and store it to "scalarb". + + movq %rdx, %rbx + leaq SCALARB(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_bignum_mod_n521_9) + +// Set the tab[0] table entry to the input point = 1 * P, but also +// reduce all coordinates modulo p. In principle we assume reduction +// as a precondition, but this reduces the scope for surprise, e.g. +// making sure that any input with z = 0 is treated as zero, even +// if the other coordinates are not in fact reduced. + + leaq TAB(%rsp), %rdi + movq %rbx, %rsi + CFI_CALL(Lp521_jscalarmul_bignum_mod_p521_9) + + leaq TAB+NUMSIZE(%rsp), %rdi + leaq NUMSIZE(%rbx), %rsi + CFI_CALL(Lp521_jscalarmul_bignum_mod_p521_9) + + leaq TAB+2*NUMSIZE(%rsp), %rdi + leaq 2*NUMSIZE(%rbx), %rsi + CFI_CALL(Lp521_jscalarmul_bignum_mod_p521_9) + +// If bit 520 of the scalar is set, then negate the scalar mod n_521, +// i.e. do scalar |-> n_521 - scalar, and also the point to compensate +// by negating its y coordinate. This further step is not needed by +// the indexing scheme (the top window is only a couple of bits either +// way), but is convenient to exclude a problem with the specific value +// scalar = n_521 - 18, where the last Jacobian addition is of the form +// (n_521 - 9) * P + -(9 * P) and hence is a degenerate doubling case. + + xorl %eax, %eax + notq %rax + movq $0xbb6fb71e91386409, %r8 + subq SCALARB(%rsp), %r8 + movq $0x3bb5c9b8899c47ae, %r9 + sbbq SCALARB+8(%rsp), %r9 + movq $0x7fcc0148f709a5d0, %r10 + sbbq SCALARB+16(%rsp), %r10 + movq $0x51868783bf2f966b, %r11 + sbbq SCALARB+24(%rsp), %r11 + leaq -5(%rax), %r12 + sbbq SCALARB+32(%rsp), %r12 + movq %rax, %r13 + sbbq SCALARB+40(%rsp), %r13 + movq %rax, %r14 + sbbq SCALARB+48(%rsp), %r14 + movq %rax, %r15 + sbbq SCALARB+56(%rsp), %r15 + movq $0x1ff, %rax + movq SCALARB+64(%rsp), %rcx + sbbq %rcx, %rax + + btq $8, %rcx + sbbq %rcx, %rcx + + cmovncq SCALARB(%rsp), %r8 + cmovncq SCALARB+8(%rsp), %r9 + cmovncq SCALARB+16(%rsp), %r10 + cmovncq SCALARB+24(%rsp), %r11 + cmovncq SCALARB+32(%rsp), %r12 + cmovncq SCALARB+40(%rsp), %r13 + cmovncq SCALARB+48(%rsp), %r14 + cmovncq SCALARB+56(%rsp), %r15 + cmovncq SCALARB+64(%rsp), %rax + + movq %r8, SCALARB(%rsp) + movq %r9, SCALARB+8(%rsp) + movq %r10, SCALARB+16(%rsp) + movq %r11, SCALARB+24(%rsp) + movq %r12, SCALARB+32(%rsp) + movq %r13, SCALARB+40(%rsp) + movq %r14, SCALARB+48(%rsp) + movq %r15, SCALARB+56(%rsp) + movq %rax, SCALARB+64(%rsp) + + movq TAB+NUMSIZE(%rsp), %r8 + movq TAB+NUMSIZE+8(%rsp), %r9 + movq TAB+NUMSIZE+16(%rsp), %r10 + movq TAB+NUMSIZE+24(%rsp), %r11 + movq TAB+NUMSIZE+32(%rsp), %r12 + movq TAB+NUMSIZE+40(%rsp), %r13 + movq TAB+NUMSIZE+48(%rsp), %r14 + movq TAB+NUMSIZE+56(%rsp), %r15 + movq TAB+NUMSIZE+64(%rsp), %rax + + movq %r8, %rbx + movq %r12, %rbp + orq %r9, %rbx + orq %r13, %rbp + orq %r10, %rbx + orq %r14, %rbp + orq %r11, %rbx + orq %r15, %rbp + orq %rbp, %rbx + orq %rax, %rbx + cmovzq %rbx, %rcx + + xorq %rcx, %r8 + xorq %rcx, %r9 + xorq %rcx, %r10 + xorq %rcx, %r11 + xorq %rcx, %r12 + xorq %rcx, %r13 + xorq %rcx, %r14 + xorq %rcx, %r15 + andq $0x1FF, %rcx + xorq %rcx, %rax + + movq %r8, TAB+NUMSIZE(%rsp) + movq %r9, TAB+NUMSIZE+8(%rsp) + movq %r10, TAB+NUMSIZE+16(%rsp) + movq %r11, TAB+NUMSIZE+24(%rsp) + movq %r12, TAB+NUMSIZE+32(%rsp) + movq %r13, TAB+NUMSIZE+40(%rsp) + movq %r14, TAB+NUMSIZE+48(%rsp) + movq %r15, TAB+NUMSIZE+56(%rsp) + movq %rax, TAB+NUMSIZE+64(%rsp) + +// Compute and record tab[1] = 2 * p, ..., tab[15] = 16 * P + + leaq TAB+JACSIZE*1(%rsp), %rdi + leaq TAB(%rsp), %rsi + CFI_CALL(Lp521_jscalarmul_jdouble) + + leaq TAB+JACSIZE*2(%rsp), %rdi + leaq TAB+JACSIZE*1(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp521_jscalarmul_jadd) + + leaq TAB+JACSIZE*3(%rsp), %rdi + leaq TAB+JACSIZE*1(%rsp), %rsi + CFI_CALL(Lp521_jscalarmul_jdouble) + + leaq TAB+JACSIZE*4(%rsp), %rdi + leaq TAB+JACSIZE*3(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp521_jscalarmul_jadd) + + leaq TAB+JACSIZE*5(%rsp), %rdi + leaq TAB+JACSIZE*2(%rsp), %rsi + CFI_CALL(Lp521_jscalarmul_jdouble) + + leaq TAB+JACSIZE*6(%rsp), %rdi + leaq TAB+JACSIZE*5(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp521_jscalarmul_jadd) + + leaq TAB+JACSIZE*7(%rsp), %rdi + leaq TAB+JACSIZE*3(%rsp), %rsi + CFI_CALL(Lp521_jscalarmul_jdouble) + + leaq TAB+JACSIZE*8(%rsp), %rdi + leaq TAB+JACSIZE*7(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp521_jscalarmul_jadd) + + leaq TAB+JACSIZE*9(%rsp), %rdi + leaq TAB+JACSIZE*4(%rsp), %rsi + CFI_CALL(Lp521_jscalarmul_jdouble) + + leaq TAB+JACSIZE*10(%rsp), %rdi + leaq TAB+JACSIZE*9(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp521_jscalarmul_jadd) + + leaq TAB+JACSIZE*11(%rsp), %rdi + leaq TAB+JACSIZE*5(%rsp), %rsi + CFI_CALL(Lp521_jscalarmul_jdouble) + + leaq TAB+JACSIZE*12(%rsp), %rdi + leaq TAB+JACSIZE*11(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp521_jscalarmul_jadd) + + leaq TAB+JACSIZE*13(%rsp), %rdi + leaq TAB+JACSIZE*6(%rsp), %rsi + CFI_CALL(Lp521_jscalarmul_jdouble) + + leaq TAB+JACSIZE*14(%rsp), %rdi + leaq TAB+JACSIZE*13(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp521_jscalarmul_jadd) + + leaq TAB+JACSIZE*15(%rsp), %rdi + leaq TAB+JACSIZE*7(%rsp), %rsi + CFI_CALL(Lp521_jscalarmul_jdouble) + +// Add the recoding constant sum_i(16 * 32^i) to the scalar to allow signed +// digits. The digits of the constant, in lowest-to-highest order, are as +// follows; they are generated dynamically to use fewer large constant loads. +// +// 0x0842108421084210 %rax +// 0x1084210842108421 %rbx +// 0x2108421084210842 %rbx<<1 +// 0x4210842108421084 %rbx<<2 +// 0x8421084210842108 %rbx<<3 +// 0x0842108421084210 %rax +// 0x1084210842108421 %rbx +// 0x2108421084210842 %rbx<<1 +// 0x0000000000000084 + + movq $0x1084210842108421, %rax + movq %rax, %rbx + shrq $1, %rax + movq SCALARB(%rsp), %r8 + addq %rax, %r8 + movq SCALARB+8(%rsp), %r9 + adcq %rbx, %r9 + leaq (%rbx,%rbx), %rcx + movq SCALARB+16(%rsp), %r10 + adcq %rcx, %r10 + leaq (%rcx,%rcx), %rcx + movq SCALARB+24(%rsp), %r11 + adcq %rcx, %r11 + leaq (%rcx,%rcx), %rcx + movq SCALARB+32(%rsp), %r12 + adcq %rcx, %r12 + movq SCALARB+40(%rsp), %r13 + adcq %rax, %r13 + movq SCALARB+48(%rsp), %r14 + adcq %rbx, %r14 + movq SCALARB+56(%rsp), %r15 + leaq (%rbx,%rbx), %rcx + adcq %rcx, %r15 + movq SCALARB+64(%rsp), %rax + adcq $0x84, %rax + +// Because of the initial reduction the top bitfield (>= bits 520) is <= 1, +// i.e. just a single bit. Record that in %rdi, then shift the whole +// scalar left 56 bits to align the top of the next bitfield with the MSB +// (bits 571..575). + + movq %rax, %rdi + shrq $8, %rdi + shldq $56, %r15, %rax + shldq $56, %r14, %r15 + shldq $56, %r13, %r14 + shldq $56, %r12, %r13 + shldq $56, %r11, %r12 + shldq $56, %r10, %r11 + shldq $56, %r9, %r10 + shldq $56, %r8, %r9 + shlq $56, %r8 + + movq %r8, SCALARB(%rsp) + movq %r9, SCALARB+8(%rsp) + movq %r10, SCALARB+16(%rsp) + movq %r11, SCALARB+24(%rsp) + movq %r12, SCALARB+32(%rsp) + movq %r13, SCALARB+40(%rsp) + movq %r14, SCALARB+48(%rsp) + movq %r15, SCALARB+56(%rsp) + movq %rax, SCALARB+64(%rsp) + +// According to the top bit, initialize the accumulator to P or 0. This top +// digit, uniquely, is not recoded so there is no sign adjustment to make. +// We only really need to adjust the z coordinate to zero, but do all three. + + xorl %ecx, %ecx + testq %rdi, %rdi + + movq TAB(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC(%rsp) + movq TAB+8(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+8(%rsp) + movq TAB+16(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+16(%rsp) + movq TAB+24(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+24(%rsp) + movq TAB+32(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+32(%rsp) + movq TAB+40(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+40(%rsp) + movq TAB+48(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+48(%rsp) + movq TAB+56(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+56(%rsp) + movq TAB+64(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+64(%rsp) + movq TAB+72(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+72(%rsp) + movq TAB+80(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+80(%rsp) + movq TAB+88(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+88(%rsp) + movq TAB+96(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+96(%rsp) + movq TAB+104(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+104(%rsp) + movq TAB+112(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+112(%rsp) + movq TAB+120(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+120(%rsp) + movq TAB+128(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+128(%rsp) + movq TAB+136(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+136(%rsp) + movq TAB+144(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+144(%rsp) + movq TAB+152(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+152(%rsp) + movq TAB+160(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+160(%rsp) + movq TAB+168(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+168(%rsp) + movq TAB+176(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+176(%rsp) + movq TAB+184(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+184(%rsp) + movq TAB+192(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+192(%rsp) + movq TAB+200(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+200(%rsp) + movq TAB+208(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+208(%rsp) + +// Main loop over size-5 bitfields: double 5 times then add signed digit +// At each stage we shift the scalar left by 5 bits so we can simply pick +// the top 5 bits as the bitfield, saving some fiddle over indexing. + + movl $520, %ebp + +Lp521_jscalarmul_mainloop: + subq $5, %rbp + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_jdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_jdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_jdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_jdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_jdouble) + +// Choose the bitfield and adjust it to sign and magnitude + + movq SCALARB(%rsp), %r8 + movq SCALARB+8(%rsp), %r9 + movq SCALARB+16(%rsp), %r10 + movq SCALARB+24(%rsp), %r11 + movq SCALARB+32(%rsp), %r12 + movq SCALARB+40(%rsp), %r13 + movq SCALARB+48(%rsp), %r14 + movq SCALARB+56(%rsp), %r15 + movq SCALARB+64(%rsp), %rax + + + movq %rax, %rdi + shrq $59, %rdi + + shldq $5, %r15, %rax + shldq $5, %r14, %r15 + shldq $5, %r13, %r14 + shldq $5, %r12, %r13 + shldq $5, %r11, %r12 + shldq $5, %r10, %r11 + shldq $5, %r9, %r10 + shldq $5, %r8, %r9 + shlq $5, %r8 + + movq %r8, SCALARB(%rsp) + movq %r9, SCALARB+8(%rsp) + movq %r10, SCALARB+16(%rsp) + movq %r11, SCALARB+24(%rsp) + movq %r12, SCALARB+32(%rsp) + movq %r13, SCALARB+40(%rsp) + movq %r14, SCALARB+48(%rsp) + movq %r15, SCALARB+56(%rsp) + movq %rax, SCALARB+64(%rsp) + + subq $16, %rdi + sbbq %rsi, %rsi // %rsi = sign of digit (-1 = negative) + xorq %rsi, %rdi + subq %rsi, %rdi // %rdi = absolute value of digit + +// Conditionally select the table entry tab[i-1] = i * P in constant time +// Again, this is done in separate sweeps per coordinate, doing y last. + + xorl %eax, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + xorl %r8d, %r8d + xorl %r9d, %r9d + xorl %r10d, %r10d + xorl %r11d, %r11d + xorl %r12d, %r12d + selectblock(1,0) + selectblock(2,0) + selectblock(3,0) + selectblock(4,0) + selectblock(5,0) + selectblock(6,0) + selectblock(7,0) + selectblock(8,0) + selectblock(9,0) + selectblock(10,0) + selectblock(11,0) + selectblock(12,0) + selectblock(13,0) + selectblock(14,0) + selectblock(15,0) + selectblock(16,0) + movq %rax, TABENT(%rsp) + movq %rbx, TABENT+8(%rsp) + movq %rcx, TABENT+16(%rsp) + movq %rdx, TABENT+24(%rsp) + movq %r8, TABENT+32(%rsp) + movq %r9, TABENT+40(%rsp) + movq %r10, TABENT+48(%rsp) + movq %r11, TABENT+56(%rsp) + movq %r12, TABENT+64(%rsp) + + xorl %eax, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + xorl %r8d, %r8d + xorl %r9d, %r9d + xorl %r10d, %r10d + xorl %r11d, %r11d + xorl %r12d, %r12d + selectblock(1,2) + selectblock(2,2) + selectblock(3,2) + selectblock(4,2) + selectblock(5,2) + selectblock(6,2) + selectblock(7,2) + selectblock(8,2) + selectblock(9,2) + selectblock(10,2) + selectblock(11,2) + selectblock(12,2) + selectblock(13,2) + selectblock(14,2) + selectblock(15,2) + selectblock(16,2) + movq %rax, TABENT+2*NUMSIZE(%rsp) + movq %rbx, TABENT+2*NUMSIZE+8(%rsp) + movq %rcx, TABENT+2*NUMSIZE+16(%rsp) + movq %rdx, TABENT+2*NUMSIZE+24(%rsp) + movq %r8, TABENT+2*NUMSIZE+32(%rsp) + movq %r9, TABENT+2*NUMSIZE+40(%rsp) + movq %r10, TABENT+2*NUMSIZE+48(%rsp) + movq %r11, TABENT+2*NUMSIZE+56(%rsp) + movq %r12, TABENT+2*NUMSIZE+64(%rsp) + + xorl %eax, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + xorl %r8d, %r8d + xorl %r9d, %r9d + xorl %r10d, %r10d + xorl %r11d, %r11d + xorl %r12d, %r12d + selectblock(1,1) + selectblock(2,1) + selectblock(3,1) + selectblock(4,1) + selectblock(5,1) + selectblock(6,1) + selectblock(7,1) + selectblock(8,1) + selectblock(9,1) + selectblock(10,1) + selectblock(11,1) + selectblock(12,1) + selectblock(13,1) + selectblock(14,1) + selectblock(15,1) + selectblock(16,1) + +// Store it to "tabent" with the y coordinate optionally negated. +// This is done carefully to give coordinates < p_521 even in +// the degenerate case y = 0 (when z = 0 for points on the curve). + + movq %rax, %r13 + orq %rbx, %r13 + movq %rcx, %r14 + orq %rdx, %r14 + movq %r8, %r15 + orq %r9, %r15 + movq %r10, %rdi + orq %r11, %rdi + orq %r14, %r13 + orq %rdi, %r15 + orq %r12, %r15 + orq %r15, %r13 + cmovzq %r13, %rsi + + xorq %rsi, %rax + xorq %rsi, %rbx + xorq %rsi, %rcx + xorq %rsi, %rdx + xorq %rsi, %r8 + xorq %rsi, %r9 + xorq %rsi, %r10 + xorq %rsi, %r11 + andq $0x1FF, %rsi + xorq %rsi, %r12 + + movq %rax, TABENT+NUMSIZE(%rsp) + movq %rbx, TABENT+NUMSIZE+8(%rsp) + movq %rcx, TABENT+NUMSIZE+16(%rsp) + movq %rdx, TABENT+NUMSIZE+24(%rsp) + movq %r8, TABENT+NUMSIZE+32(%rsp) + movq %r9, TABENT+NUMSIZE+40(%rsp) + movq %r10, TABENT+NUMSIZE+48(%rsp) + movq %r11, TABENT+NUMSIZE+56(%rsp) + movq %r12, TABENT+NUMSIZE+64(%rsp) + +// Add to the accumulator + + leaq TABENT(%rsp), %rdx + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_jadd) + + testq %rbp, %rbp + jne Lp521_jscalarmul_mainloop + +// That's the end of the main loop, and we just need to copy the +// result in "acc" to the output. + + movq res, %rdi + movq ACC(%rsp), %rax + movq %rax, (%rdi) + movq ACC+8(%rsp), %rax + movq %rax, 8(%rdi) + movq ACC+16(%rsp), %rax + movq %rax, 16(%rdi) + movq ACC+24(%rsp), %rax + movq %rax, 24(%rdi) + movq ACC+32(%rsp), %rax + movq %rax, 32(%rdi) + movq ACC+40(%rsp), %rax + movq %rax, 40(%rdi) + movq ACC+48(%rsp), %rax + movq %rax, 48(%rdi) + movq ACC+56(%rsp), %rax + movq %rax, 56(%rdi) + movq ACC+64(%rsp), %rax + movq %rax, 64(%rdi) + movq ACC+72(%rsp), %rax + movq %rax, 72(%rdi) + movq ACC+80(%rsp), %rax + movq %rax, 80(%rdi) + movq ACC+88(%rsp), %rax + movq %rax, 88(%rdi) + movq ACC+96(%rsp), %rax + movq %rax, 96(%rdi) + movq ACC+104(%rsp), %rax + movq %rax, 104(%rdi) + movq ACC+112(%rsp), %rax + movq %rax, 112(%rdi) + movq ACC+120(%rsp), %rax + movq %rax, 120(%rdi) + movq ACC+128(%rsp), %rax + movq %rax, 128(%rdi) + movq ACC+136(%rsp), %rax + movq %rax, 136(%rdi) + movq ACC+144(%rsp), %rax + movq %rax, 144(%rdi) + movq ACC+152(%rsp), %rax + movq %rax, 152(%rdi) + movq ACC+160(%rsp), %rax + movq %rax, 160(%rdi) + movq ACC+168(%rsp), %rax + movq %rax, 168(%rdi) + movq ACC+176(%rsp), %rax + movq %rax, 176(%rdi) + movq ACC+184(%rsp), %rax + movq %rax, 184(%rdi) + movq ACC+192(%rsp), %rax + movq %rax, 192(%rdi) + movq ACC+200(%rsp), %rax + movq %rax, 200(%rdi) + movq ACC+208(%rsp), %rax + movq %rax, 208(%rdi) + +// Restore stack and registers and return + + CFI_INC_RSP(NSPACE) + CFI_POP(%rbx) + CFI_POP(%rbp) + CFI_POP(%r12) + CFI_POP(%r13) + CFI_POP(%r14) + CFI_POP(%r15) + CFI_RET + +#if WINDOWS_ABI +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_standard) +#else +S2N_BN_SIZE_DIRECTIVE(p521_jscalarmul) +#endif + +// Local copies of subroutines, complete clones at the moment + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_bignum_mod_p521_9) + +Lp521_jscalarmul_bignum_mod_p521_9: + CFI_START + CFI_PUSH(%rbx) + movq 0x40(%rsi), %rax + movl $0x1ff, %edx + andq %rax, %rdx + shrq $0x9, %rax + stc + adcq (%rsi), %rax + movq 0x8(%rsi), %rcx + adcq $0x0, %rcx + movq 0x10(%rsi), %r8 + adcq $0x0, %r8 + movq 0x18(%rsi), %r9 + adcq $0x0, %r9 + movq 0x20(%rsi), %r10 + adcq $0x0, %r10 + movq 0x28(%rsi), %r11 + adcq $0x0, %r11 + movq 0x30(%rsi), %rbx + adcq $0x0, %rbx + movq 0x38(%rsi), %rsi + adcq $0x0, %rsi + adcq $0x0, %rdx + cmpq $0x200, %rdx + sbbq $0x0, %rax + movq %rax, (%rdi) + sbbq $0x0, %rcx + movq %rcx, 0x8(%rdi) + sbbq $0x0, %r8 + movq %r8, 0x10(%rdi) + sbbq $0x0, %r9 + movq %r9, 0x18(%rdi) + sbbq $0x0, %r10 + movq %r10, 0x20(%rdi) + sbbq $0x0, %r11 + movq %r11, 0x28(%rdi) + sbbq $0x0, %rbx + movq %rbx, 0x30(%rdi) + sbbq $0x0, %rsi + movq %rsi, 0x38(%rdi) + sbbq $0x0, %rdx + andq $0x1ff, %rdx + movq %rdx, 0x40(%rdi) + CFI_POP(%rbx) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_bignum_mod_p521_9) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_bignum_mod_n521_9) + +Lp521_jscalarmul_bignum_mod_n521_9: + CFI_START + movq 0x40(%rsi), %rdx + movq $0xfffffffffffffe00, %rax + orq %rdx, %rax + movq %rax, 0x40(%rdi) + shrq $0x9, %rdx + addq $0x1, %rdx + movq $0x449048e16ec79bf7, %r9 + mulxq %r9, %rax, %rcx + adcxq (%rsi), %rax + movq %rax, (%rdi) + movq $0xc44a36477663b851, %r10 + mulxq %r10, %rax, %r8 + adcxq 0x8(%rsi), %rax + adoxq %rcx, %rax + movq %rax, 0x8(%rdi) + movq $0x8033feb708f65a2f, %r11 + mulxq %r11, %rax, %rcx + adcxq 0x10(%rsi), %rax + adoxq %r8, %rax + movq %rax, 0x10(%rdi) + movq $0xae79787c40d06994, %rax + mulxq %rax, %rax, %r8 + adcxq 0x18(%rsi), %rax + adoxq %rcx, %rax + movq %rax, 0x18(%rdi) + movl $0x5, %eax + mulxq %rax, %rax, %rcx + adcxq 0x20(%rsi), %rax + adoxq %r8, %rax + movq %rax, 0x20(%rdi) + movq %rcx, %rax + adoxq %rcx, %rcx + adcq 0x28(%rsi), %rcx + movq %rcx, 0x28(%rdi) + movq 0x30(%rsi), %rcx + adcq %rax, %rcx + movq %rcx, 0x30(%rdi) + movq 0x38(%rsi), %rcx + adcq %rax, %rcx + movq %rcx, 0x38(%rdi) + movq 0x40(%rdi), %rcx + adcq %rax, %rcx + cmc + sbbq %rdx, %rdx + andq %rdx, %r9 + andq %rdx, %r10 + andq %rdx, %r11 + movq $0xae79787c40d06994, %r8 + andq %rdx, %r8 + andl $0x5, %edx + subq %r9, (%rdi) + sbbq %r10, 0x8(%rdi) + sbbq %r11, 0x10(%rdi) + sbbq %r8, 0x18(%rdi) + sbbq %rdx, 0x20(%rdi) + sbbq %rax, 0x28(%rdi) + sbbq %rax, 0x30(%rdi) + sbbq %rax, 0x38(%rdi) + sbbl %eax, %ecx + andl $0x1ff, %ecx + movq %rcx, 0x40(%rdi) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_bignum_mod_n521_9) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_jadd) + +Lp521_jscalarmul_jadd: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(528) + movq %rdi, 0x1f8(%rsp) + movq %rsi, 0x200(%rsp) + movq %rdx, 0x208(%rsp) + movq 0x200(%rsp), %rsi + leaq 0x90(%rsi), %rsi + leaq (%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_sqr_p521) + movq 0x208(%rsp), %rdi + leaq 0x90(%rdi), %rsi + leaq 0x168(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_sqr_p521) + movq 0x200(%rsp), %rsi + movq 0x208(%rsp), %rdi + leaq 0x48(%rsi), %rdx + leaq 0x90(%rdi), %rsi + leaq 0x1b0(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_mul_p521) + movq 0x200(%rsp), %rsi + movq 0x208(%rsp), %rdi + leaq 0x48(%rdi), %rdx + leaq 0x90(%rsi), %rsi + leaq 0x48(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_mul_p521) + movq 0x208(%rsp), %rdi + leaq (%rdi), %rdx + leaq (%rsp), %rsi + leaq 0x90(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_mul_p521) + movq 0x200(%rsp), %rsi + leaq (%rsi), %rdx + leaq 0x168(%rsp), %rsi + leaq 0x120(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_mul_p521) + leaq 0x48(%rsp), %rdx + leaq (%rsp), %rsi + leaq 0x48(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_mul_p521) + leaq 0x1b0(%rsp), %rdx + leaq 0x168(%rsp), %rsi + leaq 0x1b0(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_mul_p521) + movq 0x90(%rsp), %rax + subq 0x120(%rsp), %rax + movq 0x98(%rsp), %rdx + sbbq 0x128(%rsp), %rdx + movq 0xa0(%rsp), %r8 + sbbq 0x130(%rsp), %r8 + movq 0xa8(%rsp), %r9 + sbbq 0x138(%rsp), %r9 + movq 0xb0(%rsp), %r10 + sbbq 0x140(%rsp), %r10 + movq 0xb8(%rsp), %r11 + sbbq 0x148(%rsp), %r11 + movq 0xc0(%rsp), %r12 + sbbq 0x150(%rsp), %r12 + movq 0xc8(%rsp), %r13 + sbbq 0x158(%rsp), %r13 + movq 0xd0(%rsp), %r14 + sbbq 0x160(%rsp), %r14 + sbbq $0x0, %rax + movq %rax, 0x168(%rsp) + sbbq $0x0, %rdx + movq %rdx, 0x170(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x178(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x180(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x188(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x190(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x198(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x1a0(%rsp) + sbbq $0x0, %r14 + andq $0x1ff, %r14 + movq %r14, 0x1a8(%rsp) + movq 0x48(%rsp), %rax + subq 0x1b0(%rsp), %rax + movq 0x50(%rsp), %rdx + sbbq 0x1b8(%rsp), %rdx + movq 0x58(%rsp), %r8 + sbbq 0x1c0(%rsp), %r8 + movq 0x60(%rsp), %r9 + sbbq 0x1c8(%rsp), %r9 + movq 0x68(%rsp), %r10 + sbbq 0x1d0(%rsp), %r10 + movq 0x70(%rsp), %r11 + sbbq 0x1d8(%rsp), %r11 + movq 0x78(%rsp), %r12 + sbbq 0x1e0(%rsp), %r12 + movq 0x80(%rsp), %r13 + sbbq 0x1e8(%rsp), %r13 + movq 0x88(%rsp), %r14 + sbbq 0x1f0(%rsp), %r14 + sbbq $0x0, %rax + movq %rax, 0x48(%rsp) + sbbq $0x0, %rdx + movq %rdx, 0x50(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x58(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x60(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x68(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x70(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x78(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x80(%rsp) + sbbq $0x0, %r14 + andq $0x1ff, %r14 + movq %r14, 0x88(%rsp) + leaq 0x168(%rsp), %rsi + leaq 0xd8(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_sqr_p521) + leaq 0x48(%rsp), %rsi + leaq (%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_sqr_p521) + leaq 0x120(%rsp), %rdx + leaq 0xd8(%rsp), %rsi + leaq 0x120(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_mul_p521) + leaq 0x90(%rsp), %rdx + leaq 0xd8(%rsp), %rsi + leaq 0x90(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_mul_p521) + movq (%rsp), %rax + subq 0x120(%rsp), %rax + movq 0x8(%rsp), %rdx + sbbq 0x128(%rsp), %rdx + movq 0x10(%rsp), %r8 + sbbq 0x130(%rsp), %r8 + movq 0x18(%rsp), %r9 + sbbq 0x138(%rsp), %r9 + movq 0x20(%rsp), %r10 + sbbq 0x140(%rsp), %r10 + movq 0x28(%rsp), %r11 + sbbq 0x148(%rsp), %r11 + movq 0x30(%rsp), %r12 + sbbq 0x150(%rsp), %r12 + movq 0x38(%rsp), %r13 + sbbq 0x158(%rsp), %r13 + movq 0x40(%rsp), %r14 + sbbq 0x160(%rsp), %r14 + sbbq $0x0, %rax + movq %rax, (%rsp) + sbbq $0x0, %rdx + movq %rdx, 0x8(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x10(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x18(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x20(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x28(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x30(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x38(%rsp) + sbbq $0x0, %r14 + andq $0x1ff, %r14 + movq %r14, 0x40(%rsp) + movq 0x90(%rsp), %rax + subq 0x120(%rsp), %rax + movq 0x98(%rsp), %rdx + sbbq 0x128(%rsp), %rdx + movq 0xa0(%rsp), %r8 + sbbq 0x130(%rsp), %r8 + movq 0xa8(%rsp), %r9 + sbbq 0x138(%rsp), %r9 + movq 0xb0(%rsp), %r10 + sbbq 0x140(%rsp), %r10 + movq 0xb8(%rsp), %r11 + sbbq 0x148(%rsp), %r11 + movq 0xc0(%rsp), %r12 + sbbq 0x150(%rsp), %r12 + movq 0xc8(%rsp), %r13 + sbbq 0x158(%rsp), %r13 + movq 0xd0(%rsp), %r14 + sbbq 0x160(%rsp), %r14 + sbbq $0x0, %rax + movq %rax, 0xd8(%rsp) + sbbq $0x0, %rdx + movq %rdx, 0xe0(%rsp) + sbbq $0x0, %r8 + movq %r8, 0xe8(%rsp) + sbbq $0x0, %r9 + movq %r9, 0xf0(%rsp) + sbbq $0x0, %r10 + movq %r10, 0xf8(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x100(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x108(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x110(%rsp) + sbbq $0x0, %r14 + andq $0x1ff, %r14 + movq %r14, 0x118(%rsp) + movq 0x200(%rsp), %rsi + leaq 0x90(%rsi), %rdx + leaq 0x168(%rsp), %rsi + leaq 0x168(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_mul_p521) + movq (%rsp), %rax + subq 0x90(%rsp), %rax + movq 0x8(%rsp), %rdx + sbbq 0x98(%rsp), %rdx + movq 0x10(%rsp), %r8 + sbbq 0xa0(%rsp), %r8 + movq 0x18(%rsp), %r9 + sbbq 0xa8(%rsp), %r9 + movq 0x20(%rsp), %r10 + sbbq 0xb0(%rsp), %r10 + movq 0x28(%rsp), %r11 + sbbq 0xb8(%rsp), %r11 + movq 0x30(%rsp), %r12 + sbbq 0xc0(%rsp), %r12 + movq 0x38(%rsp), %r13 + sbbq 0xc8(%rsp), %r13 + movq 0x40(%rsp), %r14 + sbbq 0xd0(%rsp), %r14 + sbbq $0x0, %rax + movq %rax, (%rsp) + sbbq $0x0, %rdx + movq %rdx, 0x8(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x10(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x18(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x20(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x28(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x30(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x38(%rsp) + sbbq $0x0, %r14 + andq $0x1ff, %r14 + movq %r14, 0x40(%rsp) + movq 0x120(%rsp), %rax + subq (%rsp), %rax + movq 0x128(%rsp), %rdx + sbbq 0x8(%rsp), %rdx + movq 0x130(%rsp), %r8 + sbbq 0x10(%rsp), %r8 + movq 0x138(%rsp), %r9 + sbbq 0x18(%rsp), %r9 + movq 0x140(%rsp), %r10 + sbbq 0x20(%rsp), %r10 + movq 0x148(%rsp), %r11 + sbbq 0x28(%rsp), %r11 + movq 0x150(%rsp), %r12 + sbbq 0x30(%rsp), %r12 + movq 0x158(%rsp), %r13 + sbbq 0x38(%rsp), %r13 + movq 0x160(%rsp), %r14 + sbbq 0x40(%rsp), %r14 + sbbq $0x0, %rax + movq %rax, 0x120(%rsp) + sbbq $0x0, %rdx + movq %rdx, 0x128(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x130(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x138(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x140(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x148(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x150(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x158(%rsp) + sbbq $0x0, %r14 + andq $0x1ff, %r14 + movq %r14, 0x160(%rsp) + leaq 0x1b0(%rsp), %rdx + leaq 0xd8(%rsp), %rsi + leaq 0xd8(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_mul_p521) + movq 0x208(%rsp), %rdi + leaq 0x90(%rdi), %rdx + leaq 0x168(%rsp), %rsi + leaq 0x168(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_mul_p521) + leaq 0x120(%rsp), %rdx + leaq 0x48(%rsp), %rsi + leaq 0x120(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_mul_p521) + movq 0x120(%rsp), %rax + subq 0xd8(%rsp), %rax + movq 0x128(%rsp), %rdx + sbbq 0xe0(%rsp), %rdx + movq 0x130(%rsp), %r8 + sbbq 0xe8(%rsp), %r8 + movq 0x138(%rsp), %r9 + sbbq 0xf0(%rsp), %r9 + movq 0x140(%rsp), %r10 + sbbq 0xf8(%rsp), %r10 + movq 0x148(%rsp), %r11 + sbbq 0x100(%rsp), %r11 + movq 0x150(%rsp), %r12 + sbbq 0x108(%rsp), %r12 + movq 0x158(%rsp), %r13 + sbbq 0x110(%rsp), %r13 + movq 0x160(%rsp), %r14 + sbbq 0x118(%rsp), %r14 + sbbq $0x0, %rax + movq %rax, 0x120(%rsp) + sbbq $0x0, %rdx + movq %rdx, 0x128(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x130(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x138(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x140(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x148(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x150(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x158(%rsp) + sbbq $0x0, %r14 + andq $0x1ff, %r14 + movq %r14, 0x160(%rsp) + movq 0x200(%rsp), %rsi + movq 0x90(%rsi), %r8 + movq 0x98(%rsi), %r9 + movq 0xa0(%rsi), %r10 + movq 0xa8(%rsi), %r11 + movq 0xb0(%rsi), %r12 + movq 0xb8(%rsi), %r13 + movq 0xc0(%rsi), %r14 + movq 0xc8(%rsi), %r15 + movq 0xd0(%rsi), %rbp + orq %r9, %r8 + orq %r11, %r10 + orq %r13, %r12 + orq %r15, %r14 + orq %r10, %r8 + orq %r14, %r12 + orq %rbp, %r8 + orq %r12, %r8 + negq %r8 + sbbq %rax, %rax + movq 0x208(%rsp), %rdi + movq 0x90(%rdi), %r8 + movq 0x98(%rdi), %r9 + movq 0xa0(%rdi), %r10 + movq 0xa8(%rdi), %r11 + movq 0xb0(%rdi), %r12 + movq 0xb8(%rdi), %r13 + movq 0xc0(%rdi), %r14 + movq 0xc8(%rdi), %r15 + movq 0xd0(%rdi), %rbp + orq %r9, %r8 + orq %r11, %r10 + orq %r13, %r12 + orq %r15, %r14 + orq %r10, %r8 + orq %r14, %r12 + orq %rbp, %r8 + orq %r12, %r8 + negq %r8 + sbbq %rdx, %rdx + cmpq %rax, %rdx + movq 0x120(%rsp), %r8 + cmovbq 0x48(%rsi), %r8 + cmova 0x48(%rdi), %r8 + movq 0x128(%rsp), %r9 + cmovbq 0x50(%rsi), %r9 + cmova 0x50(%rdi), %r9 + movq 0x130(%rsp), %r10 + cmovbq 0x58(%rsi), %r10 + cmova 0x58(%rdi), %r10 + movq 0x138(%rsp), %r11 + cmovbq 0x60(%rsi), %r11 + cmova 0x60(%rdi), %r11 + movq 0x140(%rsp), %r12 + cmovbq 0x68(%rsi), %r12 + cmova 0x68(%rdi), %r12 + movq 0x148(%rsp), %r13 + cmovbq 0x70(%rsi), %r13 + cmova 0x70(%rdi), %r13 + movq 0x150(%rsp), %r14 + cmovbq 0x78(%rsi), %r14 + cmova 0x78(%rdi), %r14 + movq 0x158(%rsp), %r15 + cmovbq 0x80(%rsi), %r15 + cmova 0x80(%rdi), %r15 + movq 0x160(%rsp), %rbp + cmovbq 0x88(%rsi), %rbp + cmova 0x88(%rdi), %rbp + movq %r8, 0x120(%rsp) + movq %r9, 0x128(%rsp) + movq %r10, 0x130(%rsp) + movq %r11, 0x138(%rsp) + movq %r12, 0x140(%rsp) + movq %r13, 0x148(%rsp) + movq %r14, 0x150(%rsp) + movq %r15, 0x158(%rsp) + movq %rbp, 0x160(%rsp) + movq 0x168(%rsp), %r8 + cmovbq 0x90(%rsi), %r8 + cmova 0x90(%rdi), %r8 + movq 0x170(%rsp), %r9 + cmovbq 0x98(%rsi), %r9 + cmova 0x98(%rdi), %r9 + movq 0x178(%rsp), %r10 + cmovbq 0xa0(%rsi), %r10 + cmova 0xa0(%rdi), %r10 + movq 0x180(%rsp), %r11 + cmovbq 0xa8(%rsi), %r11 + cmova 0xa8(%rdi), %r11 + movq 0x188(%rsp), %r12 + cmovbq 0xb0(%rsi), %r12 + cmova 0xb0(%rdi), %r12 + movq 0x190(%rsp), %r13 + cmovbq 0xb8(%rsi), %r13 + cmova 0xb8(%rdi), %r13 + movq 0x198(%rsp), %r14 + cmovbq 0xc0(%rsi), %r14 + cmova 0xc0(%rdi), %r14 + movq 0x1a0(%rsp), %r15 + cmovbq 0xc8(%rsi), %r15 + cmova 0xc8(%rdi), %r15 + movq 0x1a8(%rsp), %rbp + cmovbq 0xd0(%rsi), %rbp + cmova 0xd0(%rdi), %rbp + movq %r8, 0x168(%rsp) + movq %r9, 0x170(%rsp) + movq %r10, 0x178(%rsp) + movq %r11, 0x180(%rsp) + movq %r12, 0x188(%rsp) + movq %r13, 0x190(%rsp) + movq %r14, 0x198(%rsp) + movq %r15, 0x1a0(%rsp) + movq %rbp, 0x1a8(%rsp) + movq (%rsp), %r8 + cmovbq (%rsi), %r8 + cmova (%rdi), %r8 + movq 0x8(%rsp), %r9 + cmovbq 0x8(%rsi), %r9 + cmova 0x8(%rdi), %r9 + movq 0x10(%rsp), %r10 + cmovbq 0x10(%rsi), %r10 + cmova 0x10(%rdi), %r10 + movq 0x18(%rsp), %r11 + cmovbq 0x18(%rsi), %r11 + cmova 0x18(%rdi), %r11 + movq 0x20(%rsp), %r12 + cmovbq 0x20(%rsi), %r12 + cmova 0x20(%rdi), %r12 + movq 0x28(%rsp), %r13 + cmovbq 0x28(%rsi), %r13 + cmova 0x28(%rdi), %r13 + movq 0x30(%rsp), %r14 + cmovbq 0x30(%rsi), %r14 + cmova 0x30(%rdi), %r14 + movq 0x38(%rsp), %r15 + cmovbq 0x38(%rsi), %r15 + cmova 0x38(%rdi), %r15 + movq 0x40(%rsp), %rbp + cmovbq 0x40(%rsi), %rbp + cmova 0x40(%rdi), %rbp + movq 0x1f8(%rsp), %rdi + movq %r8, (%rdi) + movq %r9, 0x8(%rdi) + movq %r10, 0x10(%rdi) + movq %r11, 0x18(%rdi) + movq %r12, 0x20(%rdi) + movq %r13, 0x28(%rdi) + movq %r14, 0x30(%rdi) + movq %r15, 0x38(%rdi) + movq %rbp, 0x40(%rdi) + movq 0x120(%rsp), %rax + movq %rax, 0x48(%rdi) + movq 0x128(%rsp), %rax + movq %rax, 0x50(%rdi) + movq 0x130(%rsp), %rax + movq %rax, 0x58(%rdi) + movq 0x138(%rsp), %rax + movq %rax, 0x60(%rdi) + movq 0x140(%rsp), %rax + movq %rax, 0x68(%rdi) + movq 0x148(%rsp), %rax + movq %rax, 0x70(%rdi) + movq 0x150(%rsp), %rax + movq %rax, 0x78(%rdi) + movq 0x158(%rsp), %rax + movq %rax, 0x80(%rdi) + movq 0x160(%rsp), %rax + movq %rax, 0x88(%rdi) + movq 0x168(%rsp), %rax + movq %rax, 0x90(%rdi) + movq 0x170(%rsp), %rax + movq %rax, 0x98(%rdi) + movq 0x178(%rsp), %rax + movq %rax, 0xa0(%rdi) + movq 0x180(%rsp), %rax + movq %rax, 0xa8(%rdi) + movq 0x188(%rsp), %rax + movq %rax, 0xb0(%rdi) + movq 0x190(%rsp), %rax + movq %rax, 0xb8(%rdi) + movq 0x198(%rsp), %rax + movq %rax, 0xc0(%rdi) + movq 0x1a0(%rsp), %rax + movq %rax, 0xc8(%rdi) + movq 0x1a8(%rsp), %rax + movq %rax, 0xd0(%rdi) + CFI_INC_RSP(528) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_jadd) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_jdouble) + +Lp521_jscalarmul_jdouble: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(520) + movq %rdi, 0x1f8(%rsp) + movq %rsi, 0x200(%rsp) + movq 0x200(%rsp), %rdi + leaq 0x90(%rdi), %rsi + leaq (%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_sqr_p521) + movq 0x200(%rsp), %rdi + leaq 0x48(%rdi), %rsi + leaq 0x48(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_sqr_p521) + movq 0x200(%rsp), %rdi + stc + movq (%rdi), %rax + adcq (%rsp), %rax + movq 0x8(%rdi), %rbx + adcq 0x8(%rsp), %rbx + movq 0x10(%rdi), %r8 + adcq 0x10(%rsp), %r8 + movq 0x18(%rdi), %r9 + adcq 0x18(%rsp), %r9 + movq 0x20(%rdi), %r10 + adcq 0x20(%rsp), %r10 + movq 0x28(%rdi), %r11 + adcq 0x28(%rsp), %r11 + movq 0x30(%rdi), %r12 + adcq 0x30(%rsp), %r12 + movq 0x38(%rdi), %r13 + adcq 0x38(%rsp), %r13 + movq 0x40(%rdi), %r14 + adcq 0x40(%rsp), %r14 + movq $0x200, %rdx + andq %r14, %rdx + cmpq $0x200, %rdx + sbbq $0x0, %rax + movq %rax, 0x168(%rsp) + sbbq $0x0, %rbx + movq %rbx, 0x170(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x178(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x180(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x188(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x190(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x198(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x1a0(%rsp) + sbbq %rdx, %r14 + movq %r14, 0x1a8(%rsp) + movq 0x200(%rsp), %rdi + movq (%rdi), %rax + subq (%rsp), %rax + movq 0x8(%rdi), %rdx + sbbq 0x8(%rsp), %rdx + movq 0x10(%rdi), %r8 + sbbq 0x10(%rsp), %r8 + movq 0x18(%rdi), %r9 + sbbq 0x18(%rsp), %r9 + movq 0x20(%rdi), %r10 + sbbq 0x20(%rsp), %r10 + movq 0x28(%rdi), %r11 + sbbq 0x28(%rsp), %r11 + movq 0x30(%rdi), %r12 + sbbq 0x30(%rsp), %r12 + movq 0x38(%rdi), %r13 + sbbq 0x38(%rsp), %r13 + movq 0x40(%rdi), %r14 + sbbq 0x40(%rsp), %r14 + sbbq $0x0, %rax + movq %rax, 0x120(%rsp) + sbbq $0x0, %rdx + movq %rdx, 0x128(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x130(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x138(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x140(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x148(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x150(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x158(%rsp) + sbbq $0x0, %r14 + andq $0x1ff, %r14 + movq %r14, 0x160(%rsp) + leaq 0x120(%rsp), %rdx + leaq 0x168(%rsp), %rsi + leaq 0x90(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_mul_p521) + movq 0x200(%rsp), %rdi + stc + movq 0x48(%rdi), %rax + adcq 0x90(%rdi), %rax + movq 0x50(%rdi), %rbx + adcq 0x98(%rdi), %rbx + movq 0x58(%rdi), %r8 + adcq 0xa0(%rdi), %r8 + movq 0x60(%rdi), %r9 + adcq 0xa8(%rdi), %r9 + movq 0x68(%rdi), %r10 + adcq 0xb0(%rdi), %r10 + movq 0x70(%rdi), %r11 + adcq 0xb8(%rdi), %r11 + movq 0x78(%rdi), %r12 + adcq 0xc0(%rdi), %r12 + movq 0x80(%rdi), %r13 + adcq 0xc8(%rdi), %r13 + movq 0x88(%rdi), %r14 + adcq 0xd0(%rdi), %r14 + movq $0x200, %rdx + andq %r14, %rdx + cmpq $0x200, %rdx + sbbq $0x0, %rax + movq %rax, 0x168(%rsp) + sbbq $0x0, %rbx + movq %rbx, 0x170(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x178(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x180(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x188(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x190(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x198(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x1a0(%rsp) + sbbq %rdx, %r14 + movq %r14, 0x1a8(%rsp) + leaq 0x90(%rsp), %rsi + leaq 0x1b0(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_sqr_p521) + movq 0x200(%rsp), %rdi + leaq 0x48(%rsp), %rdx + leaq (%rdi), %rsi + leaq 0xd8(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_mul_p521) + leaq 0x168(%rsp), %rsi + leaq 0x120(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_sqr_p521) + movq $0x9, %rdx + movq 0x1f0(%rsp), %rbx + xorq $0x1ff, %rbx + movq 0x1b0(%rsp), %rax + notq %rax + mulxq %rax, %r8, %r9 + movq 0x1b8(%rsp), %rax + notq %rax + mulxq %rax, %rax, %r10 + addq %rax, %r9 + movq 0x1c0(%rsp), %rax + notq %rax + mulxq %rax, %rax, %r11 + adcq %rax, %r10 + movq 0x1c8(%rsp), %rax + notq %rax + mulxq %rax, %rax, %r12 + adcq %rax, %r11 + movq 0x1d0(%rsp), %rax + notq %rax + mulxq %rax, %rax, %r13 + adcq %rax, %r12 + movq 0x1d8(%rsp), %rax + notq %rax + mulxq %rax, %rax, %r14 + adcq %rax, %r13 + movq 0x1e0(%rsp), %rax + notq %rax + mulxq %rax, %rax, %r15 + adcq %rax, %r14 + movq 0x1e8(%rsp), %rax + notq %rax + mulxq %rax, %rax, %rcx + adcq %rax, %r15 + mulxq %rbx, %rbx, %rax + adcq %rcx, %rbx + xorl %eax, %eax + movq $0xc, %rdx + mulxq 0xd8(%rsp), %rax, %rcx + adcxq %rax, %r8 + adoxq %rcx, %r9 + mulxq 0xe0(%rsp), %rax, %rcx + adcxq %rax, %r9 + adoxq %rcx, %r10 + mulxq 0xe8(%rsp), %rax, %rcx + adcxq %rax, %r10 + adoxq %rcx, %r11 + mulxq 0xf0(%rsp), %rax, %rcx + adcxq %rax, %r11 + adoxq %rcx, %r12 + mulxq 0xf8(%rsp), %rax, %rcx + adcxq %rax, %r12 + adoxq %rcx, %r13 + mulxq 0x100(%rsp), %rax, %rcx + adcxq %rax, %r13 + adoxq %rcx, %r14 + mulxq 0x108(%rsp), %rax, %rcx + adcxq %rax, %r14 + adoxq %rcx, %r15 + mulxq 0x110(%rsp), %rax, %rcx + adcxq %rax, %r15 + adoxq %rcx, %rbx + mulxq 0x118(%rsp), %rax, %rcx + adcxq %rax, %rbx + movq %r9, %rax + andq %r10, %rax + andq %r11, %rax + andq %r12, %rax + andq %r13, %rax + andq %r14, %rax + andq %r15, %rax + movq %rbx, %rdx + shrq $0x9, %rdx + orq $0xfffffffffffffe00, %rbx + leaq 0x1(%rdx), %rcx + addq %r8, %rcx + movl $0x0, %ecx + adcq %rcx, %rax + movq %rbx, %rax + adcq %rcx, %rax + adcq %rdx, %r8 + movq %r8, 0x1b0(%rsp) + adcq %rcx, %r9 + movq %r9, 0x1b8(%rsp) + adcq %rcx, %r10 + movq %r10, 0x1c0(%rsp) + adcq %rcx, %r11 + movq %r11, 0x1c8(%rsp) + adcq %rcx, %r12 + movq %r12, 0x1d0(%rsp) + adcq %rcx, %r13 + movq %r13, 0x1d8(%rsp) + adcq %rcx, %r14 + movq %r14, 0x1e0(%rsp) + adcq %rcx, %r15 + movq %r15, 0x1e8(%rsp) + adcq %rcx, %rbx + andq $0x1ff, %rbx + movq %rbx, 0x1f0(%rsp) + movq 0x120(%rsp), %rax + subq (%rsp), %rax + movq 0x128(%rsp), %rdx + sbbq 0x8(%rsp), %rdx + movq 0x130(%rsp), %r8 + sbbq 0x10(%rsp), %r8 + movq 0x138(%rsp), %r9 + sbbq 0x18(%rsp), %r9 + movq 0x140(%rsp), %r10 + sbbq 0x20(%rsp), %r10 + movq 0x148(%rsp), %r11 + sbbq 0x28(%rsp), %r11 + movq 0x150(%rsp), %r12 + sbbq 0x30(%rsp), %r12 + movq 0x158(%rsp), %r13 + sbbq 0x38(%rsp), %r13 + movq 0x160(%rsp), %r14 + sbbq 0x40(%rsp), %r14 + sbbq $0x0, %rax + movq %rax, 0x168(%rsp) + sbbq $0x0, %rdx + movq %rdx, 0x170(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x178(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x180(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x188(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x190(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x198(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x1a0(%rsp) + sbbq $0x0, %r14 + andq $0x1ff, %r14 + movq %r14, 0x1a8(%rsp) + leaq 0x48(%rsp), %rsi + leaq 0x120(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_sqr_p521) + movq 0x1f8(%rsp), %rdi + movq 0x168(%rsp), %rax + subq 0x48(%rsp), %rax + movq 0x170(%rsp), %rdx + sbbq 0x50(%rsp), %rdx + movq 0x178(%rsp), %r8 + sbbq 0x58(%rsp), %r8 + movq 0x180(%rsp), %r9 + sbbq 0x60(%rsp), %r9 + movq 0x188(%rsp), %r10 + sbbq 0x68(%rsp), %r10 + movq 0x190(%rsp), %r11 + sbbq 0x70(%rsp), %r11 + movq 0x198(%rsp), %r12 + sbbq 0x78(%rsp), %r12 + movq 0x1a0(%rsp), %r13 + sbbq 0x80(%rsp), %r13 + movq 0x1a8(%rsp), %r14 + sbbq 0x88(%rsp), %r14 + sbbq $0x0, %rax + movq %rax, 0x90(%rdi) + sbbq $0x0, %rdx + movq %rdx, 0x98(%rdi) + sbbq $0x0, %r8 + movq %r8, 0xa0(%rdi) + sbbq $0x0, %r9 + movq %r9, 0xa8(%rdi) + sbbq $0x0, %r10 + movq %r10, 0xb0(%rdi) + sbbq $0x0, %r11 + movq %r11, 0xb8(%rdi) + sbbq $0x0, %r12 + movq %r12, 0xc0(%rdi) + sbbq $0x0, %r13 + movq %r13, 0xc8(%rdi) + sbbq $0x0, %r14 + andq $0x1ff, %r14 + movq %r14, 0xd0(%rdi) + leaq 0x90(%rsp), %rdx + leaq 0x1b0(%rsp), %rsi + leaq 0x168(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_mul_p521) + movq 0x1f8(%rsp), %rdi + movq 0x118(%rsp), %rbx + movq 0x110(%rsp), %r15 + shldq $0x2, %r15, %rbx + movq 0x108(%rsp), %r14 + shldq $0x2, %r14, %r15 + movq 0x100(%rsp), %r13 + shldq $0x2, %r13, %r14 + movq 0xf8(%rsp), %r12 + shldq $0x2, %r12, %r13 + movq 0xf0(%rsp), %r11 + shldq $0x2, %r11, %r12 + movq 0xe8(%rsp), %r10 + shldq $0x2, %r10, %r11 + movq 0xe0(%rsp), %r9 + shldq $0x2, %r9, %r10 + movq 0xd8(%rsp), %r8 + shldq $0x2, %r8, %r9 + shlq $0x2, %r8 + movq 0x1f0(%rsp), %rcx + xorq $0x1ff, %rcx + movq 0x1b0(%rsp), %rax + notq %rax + addq %rax, %r8 + movq 0x1b8(%rsp), %rax + notq %rax + adcq %rax, %r9 + movq 0x1c0(%rsp), %rax + notq %rax + adcq %rax, %r10 + movq 0x1c8(%rsp), %rax + notq %rax + adcq %rax, %r11 + movq 0x1d0(%rsp), %rax + notq %rax + adcq %rax, %r12 + movq 0x1d8(%rsp), %rax + notq %rax + adcq %rax, %r13 + movq 0x1e0(%rsp), %rax + notq %rax + adcq %rax, %r14 + movq 0x1e8(%rsp), %rax + notq %rax + adcq %rax, %r15 + adcq %rcx, %rbx + movq %r9, %rax + andq %r10, %rax + andq %r11, %rax + andq %r12, %rax + andq %r13, %rax + andq %r14, %rax + andq %r15, %rax + movq %rbx, %rdx + shrq $0x9, %rdx + orq $0xfffffffffffffe00, %rbx + leaq 0x1(%rdx), %rcx + addq %r8, %rcx + movl $0x0, %ecx + adcq %rcx, %rax + movq %rbx, %rax + adcq %rcx, %rax + adcq %rdx, %r8 + movq %r8, (%rdi) + adcq %rcx, %r9 + movq %r9, 0x8(%rdi) + adcq %rcx, %r10 + movq %r10, 0x10(%rdi) + adcq %rcx, %r11 + movq %r11, 0x18(%rdi) + adcq %rcx, %r12 + movq %r12, 0x20(%rdi) + adcq %rcx, %r13 + movq %r13, 0x28(%rdi) + adcq %rcx, %r14 + movq %r14, 0x30(%rdi) + adcq %rcx, %r15 + movq %r15, 0x38(%rdi) + adcq %rcx, %rbx + andq $0x1ff, %rbx + movq %rbx, 0x40(%rdi) + movq 0x1f8(%rsp), %rdi + movq 0x160(%rsp), %rbx + xorq $0x1ff, %rbx + movq 0x158(%rsp), %r15 + notq %r15 + shldq $0x3, %r15, %rbx + movq 0x150(%rsp), %r14 + notq %r14 + shldq $0x3, %r14, %r15 + movq 0x148(%rsp), %r13 + notq %r13 + shldq $0x3, %r13, %r14 + movq 0x140(%rsp), %r12 + notq %r12 + shldq $0x3, %r12, %r13 + movq 0x138(%rsp), %r11 + notq %r11 + shldq $0x3, %r11, %r12 + movq 0x130(%rsp), %r10 + notq %r10 + shldq $0x3, %r10, %r11 + movq 0x128(%rsp), %r9 + notq %r9 + shldq $0x3, %r9, %r10 + movq 0x120(%rsp), %r8 + notq %r8 + shldq $0x3, %r8, %r9 + shlq $0x3, %r8 + movq $0x3, %rdx + xorl %eax, %eax + mulxq 0x168(%rsp), %rax, %rcx + adcxq %rax, %r8 + adoxq %rcx, %r9 + mulxq 0x170(%rsp), %rax, %rcx + adcxq %rax, %r9 + adoxq %rcx, %r10 + mulxq 0x178(%rsp), %rax, %rcx + adcxq %rax, %r10 + adoxq %rcx, %r11 + mulxq 0x180(%rsp), %rax, %rcx + adcxq %rax, %r11 + adoxq %rcx, %r12 + mulxq 0x188(%rsp), %rax, %rcx + adcxq %rax, %r12 + adoxq %rcx, %r13 + mulxq 0x190(%rsp), %rax, %rcx + adcxq %rax, %r13 + adoxq %rcx, %r14 + mulxq 0x198(%rsp), %rax, %rcx + adcxq %rax, %r14 + adoxq %rcx, %r15 + mulxq 0x1a0(%rsp), %rax, %rcx + adcxq %rax, %r15 + adoxq %rcx, %rbx + mulxq 0x1a8(%rsp), %rax, %rcx + adcxq %rax, %rbx + movq %r9, %rax + andq %r10, %rax + andq %r11, %rax + andq %r12, %rax + andq %r13, %rax + andq %r14, %rax + andq %r15, %rax + movq %rbx, %rdx + shrq $0x9, %rdx + orq $0xfffffffffffffe00, %rbx + leaq 0x1(%rdx), %rcx + addq %r8, %rcx + movl $0x0, %ecx + adcq %rcx, %rax + movq %rbx, %rax + adcq %rcx, %rax + adcq %rdx, %r8 + movq %r8, 0x48(%rdi) + adcq %rcx, %r9 + movq %r9, 0x50(%rdi) + adcq %rcx, %r10 + movq %r10, 0x58(%rdi) + adcq %rcx, %r11 + movq %r11, 0x60(%rdi) + adcq %rcx, %r12 + movq %r12, 0x68(%rdi) + adcq %rcx, %r13 + movq %r13, 0x70(%rdi) + adcq %rcx, %r14 + movq %r14, 0x78(%rdi) + adcq %rcx, %r15 + movq %r15, 0x80(%rdi) + adcq %rcx, %rbx + andq $0x1ff, %rbx + movq %rbx, 0x88(%rdi) + CFI_INC_RSP(520) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_jdouble) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_mul_p521) + +Lp521_jscalarmul_mul_p521: + CFI_START + CFI_DEC_RSP(64) + movq %rdx, %rcx + xorl %ebp, %ebp + movq (%rcx), %rdx + mulxq (%rsi), %r8, %r9 + movq %r8, (%rsp) + mulxq 0x8(%rsi), %rbx, %r10 + adcq %rbx, %r9 + mulxq 0x10(%rsi), %rbx, %r11 + adcq %rbx, %r10 + mulxq 0x18(%rsi), %rbx, %r12 + adcq %rbx, %r11 + mulxq 0x20(%rsi), %rbx, %r13 + adcq %rbx, %r12 + mulxq 0x28(%rsi), %rbx, %r14 + adcq %rbx, %r13 + mulxq 0x30(%rsi), %rbx, %r15 + adcq %rbx, %r14 + mulxq 0x38(%rsi), %rbx, %r8 + adcq %rbx, %r15 + adcq %rbp, %r8 + movq 0x8(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + movq %r9, 0x8(%rsp) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x38(%rsi), %rax, %r9 + adcxq %rax, %r8 + adoxq %rbp, %r9 + adcq %rbp, %r9 + movq 0x10(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + movq %r10, 0x10(%rsp) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x38(%rsi), %rax, %r10 + adcxq %rax, %r9 + adoxq %rbp, %r10 + adcq %rbp, %r10 + movq 0x18(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + movq %r11, 0x18(%rsp) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x38(%rsi), %rax, %r11 + adcxq %rax, %r10 + adoxq %rbp, %r11 + adcq %rbp, %r11 + movq 0x20(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + movq %r12, 0x20(%rsp) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x38(%rsi), %rax, %r12 + adcxq %rax, %r11 + adoxq %rbp, %r12 + adcq %rbp, %r12 + movq 0x28(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + movq %r13, 0x28(%rsp) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x38(%rsi), %rax, %r13 + adcxq %rax, %r12 + adoxq %rbp, %r13 + adcq %rbp, %r13 + movq 0x30(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + movq %r14, 0x30(%rsp) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x38(%rsi), %rax, %r14 + adcxq %rax, %r13 + adoxq %rbp, %r14 + adcq %rbp, %r14 + movq 0x38(%rcx), %rdx + xorl %ebp, %ebp + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %r8 + movq %r15, 0x38(%rsp) + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x38(%rsi), %rax, %r15 + adcxq %rax, %r14 + adoxq %rbp, %r15 + adcq %rbp, %r15 + movq 0x40(%rsi), %rdx + xorl %ebp, %ebp + mulxq (%rcx), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x8(%rcx), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x10(%rcx), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x18(%rcx), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x20(%rcx), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x28(%rcx), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x30(%rcx), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x38(%rcx), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbp, %rbx + adcq %rbx, %rbp + movq 0x40(%rcx), %rdx + xorl %eax, %eax + mulxq (%rsi), %rax, %rbx + adcxq %rax, %r8 + adoxq %rbx, %r9 + mulxq 0x8(%rsi), %rax, %rbx + adcxq %rax, %r9 + adoxq %rbx, %r10 + mulxq 0x10(%rsi), %rax, %rbx + adcxq %rax, %r10 + adoxq %rbx, %r11 + mulxq 0x18(%rsi), %rax, %rbx + adcxq %rax, %r11 + adoxq %rbx, %r12 + mulxq 0x20(%rsi), %rax, %rbx + adcxq %rax, %r12 + adoxq %rbx, %r13 + mulxq 0x28(%rsi), %rax, %rbx + adcxq %rax, %r13 + adoxq %rbx, %r14 + mulxq 0x30(%rsi), %rax, %rbx + adcxq %rax, %r14 + adoxq %rbx, %r15 + mulxq 0x38(%rsi), %rax, %rbx + adcxq %rax, %r15 + adoxq %rbx, %rbp + mulxq 0x40(%rsi), %rax, %rbx + adcq %rax, %rbp + movq %r8, %rax + andq $0x1ff, %rax + shrdq $0x9, %r9, %r8 + shrdq $0x9, %r10, %r9 + shrdq $0x9, %r11, %r10 + shrdq $0x9, %r12, %r11 + shrdq $0x9, %r13, %r12 + shrdq $0x9, %r14, %r13 + shrdq $0x9, %r15, %r14 + shrdq $0x9, %rbp, %r15 + shrq $0x9, %rbp + addq %rax, %rbp + stc + adcq (%rsp), %r8 + adcq 0x8(%rsp), %r9 + adcq 0x10(%rsp), %r10 + adcq 0x18(%rsp), %r11 + adcq 0x20(%rsp), %r12 + adcq 0x28(%rsp), %r13 + adcq 0x30(%rsp), %r14 + adcq 0x38(%rsp), %r15 + adcq $0xfffffffffffffe00, %rbp + cmc + sbbq $0x0, %r8 + movq %r8, (%rdi) + sbbq $0x0, %r9 + movq %r9, 0x8(%rdi) + sbbq $0x0, %r10 + movq %r10, 0x10(%rdi) + sbbq $0x0, %r11 + movq %r11, 0x18(%rdi) + sbbq $0x0, %r12 + movq %r12, 0x20(%rdi) + sbbq $0x0, %r13 + movq %r13, 0x28(%rdi) + sbbq $0x0, %r14 + movq %r14, 0x30(%rdi) + sbbq $0x0, %r15 + movq %r15, 0x38(%rdi) + sbbq $0x0, %rbp + andq $0x1ff, %rbp + movq %rbp, 0x40(%rdi) + CFI_INC_RSP(64) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_mul_p521) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_sqr_p521) + +Lp521_jscalarmul_sqr_p521: + CFI_START + CFI_DEC_RSP(64) + xorl %ebp, %ebp + movq (%rsi), %rdx + mulxq 0x8(%rsi), %r9, %rax + movq %r9, 0x8(%rsp) + mulxq 0x10(%rsi), %r10, %rcx + adcxq %rax, %r10 + movq %r10, 0x10(%rsp) + mulxq 0x18(%rsi), %r11, %rax + adcxq %rcx, %r11 + mulxq 0x20(%rsi), %r12, %rcx + adcxq %rax, %r12 + mulxq 0x28(%rsi), %r13, %rax + adcxq %rcx, %r13 + mulxq 0x30(%rsi), %r14, %rcx + adcxq %rax, %r14 + mulxq 0x38(%rsi), %r15, %r8 + adcxq %rcx, %r15 + adcxq %rbp, %r8 + xorl %ebp, %ebp + movq 0x8(%rsi), %rdx + mulxq 0x10(%rsi), %rax, %rcx + adcxq %rax, %r11 + adoxq %rcx, %r12 + movq %r11, 0x18(%rsp) + mulxq 0x18(%rsi), %rax, %rcx + adcxq %rax, %r12 + adoxq %rcx, %r13 + movq %r12, 0x20(%rsp) + mulxq 0x20(%rsi), %rax, %rcx + adcxq %rax, %r13 + adoxq %rcx, %r14 + mulxq 0x28(%rsi), %rax, %rcx + adcxq %rax, %r14 + adoxq %rcx, %r15 + mulxq 0x30(%rsi), %rax, %rcx + adcxq %rax, %r15 + adoxq %rcx, %r8 + mulxq 0x38(%rsi), %rax, %r9 + adcxq %rax, %r8 + adoxq %rbp, %r9 + movq 0x20(%rsi), %rdx + mulxq 0x28(%rsi), %rax, %r10 + adcxq %rax, %r9 + adoxq %rbp, %r10 + adcxq %rbp, %r10 + xorl %ebp, %ebp + movq 0x10(%rsi), %rdx + mulxq 0x18(%rsi), %rax, %rcx + adcxq %rax, %r13 + adoxq %rcx, %r14 + movq %r13, 0x28(%rsp) + mulxq 0x20(%rsi), %rax, %rcx + adcxq %rax, %r14 + adoxq %rcx, %r15 + movq %r14, 0x30(%rsp) + mulxq 0x28(%rsi), %rax, %rcx + adcxq %rax, %r15 + adoxq %rcx, %r8 + mulxq 0x30(%rsi), %rax, %rcx + adcxq %rax, %r8 + adoxq %rcx, %r9 + mulxq 0x38(%rsi), %rax, %rcx + adcxq %rax, %r9 + adoxq %rcx, %r10 + movq 0x30(%rsi), %rdx + mulxq 0x20(%rsi), %rax, %r11 + adcxq %rax, %r10 + adoxq %rbp, %r11 + mulxq 0x28(%rsi), %rax, %r12 + adcxq %rax, %r11 + adoxq %rbp, %r12 + adcxq %rbp, %r12 + xorl %ebp, %ebp + movq 0x18(%rsi), %rdx + mulxq 0x20(%rsi), %rax, %rcx + adcxq %rax, %r15 + adoxq %rcx, %r8 + movq %r15, 0x38(%rsp) + mulxq 0x28(%rsi), %rax, %rcx + adcxq %rax, %r8 + adoxq %rcx, %r9 + mulxq 0x30(%rsi), %rax, %rcx + adcxq %rax, %r9 + adoxq %rcx, %r10 + mulxq 0x38(%rsi), %rax, %rcx + adcxq %rax, %r10 + adoxq %rcx, %r11 + movq 0x38(%rsi), %rdx + mulxq 0x20(%rsi), %rax, %rcx + adcxq %rax, %r11 + adoxq %rcx, %r12 + mulxq 0x28(%rsi), %rax, %r13 + adcxq %rax, %r12 + adoxq %rbp, %r13 + mulxq 0x30(%rsi), %rax, %r14 + adcxq %rax, %r13 + adoxq %rbp, %r14 + adcxq %rbp, %r14 + xorl %ebp, %ebp + movq (%rsi), %rdx + mulxq %rdx, %rax, %rcx + movq %rax, (%rsp) + movq 0x8(%rsp), %rax + adcxq %rax, %rax + adoxq %rcx, %rax + movq %rax, 0x8(%rsp) + movq 0x10(%rsp), %rax + movq 0x8(%rsi), %rdx + mulxq %rdx, %rdx, %rcx + adcxq %rax, %rax + adoxq %rdx, %rax + movq %rax, 0x10(%rsp) + movq 0x18(%rsp), %rax + adcxq %rax, %rax + adoxq %rcx, %rax + movq %rax, 0x18(%rsp) + movq 0x20(%rsp), %rax + movq 0x10(%rsi), %rdx + mulxq %rdx, %rdx, %rcx + adcxq %rax, %rax + adoxq %rdx, %rax + movq %rax, 0x20(%rsp) + movq 0x28(%rsp), %rax + adcxq %rax, %rax + adoxq %rcx, %rax + movq %rax, 0x28(%rsp) + movq 0x30(%rsp), %rax + movq 0x18(%rsi), %rdx + mulxq %rdx, %rdx, %rcx + adcxq %rax, %rax + adoxq %rdx, %rax + movq %rax, 0x30(%rsp) + movq 0x38(%rsp), %rax + adcxq %rax, %rax + adoxq %rcx, %rax + movq %rax, 0x38(%rsp) + movq 0x20(%rsi), %rdx + mulxq %rdx, %rdx, %rcx + adcxq %r8, %r8 + adoxq %rdx, %r8 + adcxq %r9, %r9 + adoxq %rcx, %r9 + movq 0x28(%rsi), %rdx + mulxq %rdx, %rdx, %rcx + adcxq %r10, %r10 + adoxq %rdx, %r10 + adcxq %r11, %r11 + adoxq %rcx, %r11 + movq 0x30(%rsi), %rdx + mulxq %rdx, %rdx, %rcx + adcxq %r12, %r12 + adoxq %rdx, %r12 + adcxq %r13, %r13 + adoxq %rcx, %r13 + movq 0x38(%rsi), %rdx + mulxq %rdx, %rdx, %r15 + adcxq %r14, %r14 + adoxq %rdx, %r14 + adcxq %rbp, %r15 + adoxq %rbp, %r15 + movq 0x40(%rsi), %rdx + movq %rdx, %rbp + imulq %rbp, %rbp + addq %rdx, %rdx + mulxq (%rsi), %rax, %rcx + adcxq %rax, %r8 + adoxq %rcx, %r9 + mulxq 0x8(%rsi), %rax, %rcx + adcxq %rax, %r9 + adoxq %rcx, %r10 + mulxq 0x10(%rsi), %rax, %rcx + adcxq %rax, %r10 + adoxq %rcx, %r11 + mulxq 0x18(%rsi), %rax, %rcx + adcxq %rax, %r11 + adoxq %rcx, %r12 + mulxq 0x20(%rsi), %rax, %rcx + adcxq %rax, %r12 + adoxq %rcx, %r13 + mulxq 0x28(%rsi), %rax, %rcx + adcxq %rax, %r13 + adoxq %rcx, %r14 + mulxq 0x30(%rsi), %rax, %rcx + adcxq %rax, %r14 + adoxq %rcx, %r15 + mulxq 0x38(%rsi), %rax, %rcx + adcxq %rax, %r15 + adoxq %rcx, %rbp + adcq $0x0, %rbp + movq %r8, %rax + andq $0x1ff, %rax + shrdq $0x9, %r9, %r8 + shrdq $0x9, %r10, %r9 + shrdq $0x9, %r11, %r10 + shrdq $0x9, %r12, %r11 + shrdq $0x9, %r13, %r12 + shrdq $0x9, %r14, %r13 + shrdq $0x9, %r15, %r14 + shrdq $0x9, %rbp, %r15 + shrq $0x9, %rbp + addq %rax, %rbp + stc + adcq (%rsp), %r8 + adcq 0x8(%rsp), %r9 + adcq 0x10(%rsp), %r10 + adcq 0x18(%rsp), %r11 + adcq 0x20(%rsp), %r12 + adcq 0x28(%rsp), %r13 + adcq 0x30(%rsp), %r14 + adcq 0x38(%rsp), %r15 + adcq $0xfffffffffffffe00, %rbp + cmc + sbbq $0x0, %r8 + movq %r8, (%rdi) + sbbq $0x0, %r9 + movq %r9, 0x8(%rdi) + sbbq $0x0, %r10 + movq %r10, 0x10(%rdi) + sbbq $0x0, %r11 + movq %r11, 0x18(%rdi) + sbbq $0x0, %r12 + movq %r12, 0x20(%rdi) + sbbq $0x0, %r13 + movq %r13, 0x28(%rdi) + sbbq $0x0, %r14 + movq %r14, 0x30(%rdi) + sbbq $0x0, %r15 + movq %r15, 0x38(%rdi) + sbbq $0x0, %rbp + andq $0x1ff, %rbp + movq %rbp, 0x40(%rdi) + CFI_INC_RSP(64) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_sqr_p521) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/s2n/x86_att/p521_jscalarmul_alt.S b/cbits/s2n/x86_att/p521_jscalarmul_alt.S new file mode 100644 --- /dev/null +++ b/cbits/s2n/x86_att/p521_jscalarmul_alt.S @@ -0,0 +1,2850 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 OR ISC OR MIT-0 + +// ---------------------------------------------------------------------------- +// Jacobian form scalar multiplication for P-521 +// Input scalar[9], point[27]; output res[27] +// +// extern void p521_jscalarmul_alt +// (uint64_t res[static 27], +// const uint64_t scalar[static 9], +// const uint64_t point[static 27]); +// +// This function is a variant of its affine point version p521_scalarmul. +// Here, input and output points are assumed to be in Jacobian form with +// a triple (x,y,z) representing the affine point (x/z^2,y/z^3) when +// z is nonzero or the point at infinity (group identity) if z = 0. +// +// Given scalar = n and point = P, assumed to be on the NIST elliptic +// curve P-521, returns a representation of n * P. If the result is the +// point at infinity (either because the input point was or because the +// scalar was a multiple of p_521) then the output is guaranteed to +// represent the point at infinity, i.e. to have its z coordinate zero. +// +// Standard x86-64 ABI: RDI = res, RSI = scalar, RDX = point +// Microsoft x64 ABI: RCX = res, RDX = scalar, R8 = point +// ---------------------------------------------------------------------------- + +#include "_internal_s2n_bignum_x86_att.h" + + + S2N_BN_SYM_VISIBILITY_DIRECTIVE(p521_jscalarmul_alt) + S2N_BN_FUNCTION_TYPE_DIRECTIVE(p521_jscalarmul_alt) + S2N_BN_SYM_PRIVACY_DIRECTIVE(p521_jscalarmul_alt) + + + .text + .balign 32 + +// Size of individual field elements + +#define NUMSIZE 72 +#define JACSIZE (3*NUMSIZE) + +// Intermediate variables on the stack. +// The table is 16 entries, each of size JACSIZE = 3 * NUMSIZE +// Uppercase syntactic variants make x86_att version simpler to generate. + +#define SCALARB (0*NUMSIZE) +#define scalarb (0*NUMSIZE)(%rsp) +#define ACC (1*NUMSIZE) +#define acc (1*NUMSIZE)(%rsp) +#define TABENT (4*NUMSIZE) +#define tabent (4*NUMSIZE)(%rsp) + +#define TAB (7*NUMSIZE) +#define tab (7*NUMSIZE)(%rsp) + +#define res (55*NUMSIZE)(%rsp) + +#define NSPACE 56*NUMSIZE + +// Avoid using .rep for the sake of the BoringSSL/AWS-LC delocator, +// which doesn't accept repetitions, assembler macros etc. + +#define selectblock(I,C) \ + cmpq $I, %rdi ; \ + cmovzq TAB+JACSIZE*(I-1)+C*NUMSIZE(%rsp), %rax ; \ + cmovzq TAB+JACSIZE*(I-1)+8+C*NUMSIZE(%rsp), %rbx ; \ + cmovzq TAB+JACSIZE*(I-1)+16+C*NUMSIZE(%rsp), %rcx ; \ + cmovzq TAB+JACSIZE*(I-1)+24+C*NUMSIZE(%rsp), %rdx ; \ + cmovzq TAB+JACSIZE*(I-1)+32+C*NUMSIZE(%rsp), %r8 ; \ + cmovzq TAB+JACSIZE*(I-1)+40+C*NUMSIZE(%rsp), %r9 ; \ + cmovzq TAB+JACSIZE*(I-1)+48+C*NUMSIZE(%rsp), %r10 ; \ + cmovzq TAB+JACSIZE*(I-1)+56+C*NUMSIZE(%rsp), %r11 ; \ + cmovzq TAB+JACSIZE*(I-1)+64+C*NUMSIZE(%rsp), %r12 + +S2N_BN_SYMBOL(p521_jscalarmul_alt): + CFI_START + _CET_ENDBR + +// The Windows version literally calls the standard ABI version. +// This simplifies the proofs since subroutine offsets are fixed. + +#if WINDOWS_ABI + CFI_PUSH(%rdi) + CFI_PUSH(%rsi) + movq %rcx, %rdi + movq %rdx, %rsi + movq %r8, %rdx + CFI_CALL(Lp521_jscalarmul_alt_standard) + CFI_POP(%rsi) + CFI_POP(%rdi) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(p521_jscalarmul_alt) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_alt_standard) + +Lp521_jscalarmul_alt_standard: + CFI_START +#endif + +// Real start of the standard ABI code. + + CFI_PUSH(%r15) + CFI_PUSH(%r14) + CFI_PUSH(%r13) + CFI_PUSH(%r12) + CFI_PUSH(%rbp) + CFI_PUSH(%rbx) + + CFI_DEC_RSP(NSPACE) + +// Preserve the "res" input argument; others get processed early. + + movq %rdi, res + +// Reduce the input scalar mod n_521 and store it to "scalarb". + + movq %rdx, %rbx + leaq SCALARB(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_bignum_mod_n521_9) + +// Set the tab[0] table entry to the input point = 1 * P, but also +// reduce all coordinates modulo p. In principle we assume reduction +// as a precondition, but this reduces the scope for surprise, e.g. +// making sure that any input with z = 0 is treated as zero, even +// if the other coordinates are not in fact reduced. + + leaq TAB(%rsp), %rdi + movq %rbx, %rsi + CFI_CALL(Lp521_jscalarmul_alt_bignum_mod_p521_9) + + leaq TAB+NUMSIZE(%rsp), %rdi + leaq NUMSIZE(%rbx), %rsi + CFI_CALL(Lp521_jscalarmul_alt_bignum_mod_p521_9) + + leaq TAB+2*NUMSIZE(%rsp), %rdi + leaq 2*NUMSIZE(%rbx), %rsi + CFI_CALL(Lp521_jscalarmul_alt_bignum_mod_p521_9) + +// If bit 520 of the scalar is set, then negate the scalar mod n_521, +// i.e. do scalar |-> n_521 - scalar, and also the point to compensate +// by negating its y coordinate. This further step is not needed by +// the indexing scheme (the top window is only a couple of bits either +// way), but is convenient to exclude a problem with the specific value +// scalar = n_521 - 18, where the last Jacobian addition is of the form +// (n_521 - 9) * P + -(9 * P) and hence is a degenerate doubling case. + + xorl %eax, %eax + notq %rax + movq $0xbb6fb71e91386409, %r8 + subq SCALARB(%rsp), %r8 + movq $0x3bb5c9b8899c47ae, %r9 + sbbq SCALARB+8(%rsp), %r9 + movq $0x7fcc0148f709a5d0, %r10 + sbbq SCALARB+16(%rsp), %r10 + movq $0x51868783bf2f966b, %r11 + sbbq SCALARB+24(%rsp), %r11 + leaq -5(%rax), %r12 + sbbq SCALARB+32(%rsp), %r12 + movq %rax, %r13 + sbbq SCALARB+40(%rsp), %r13 + movq %rax, %r14 + sbbq SCALARB+48(%rsp), %r14 + movq %rax, %r15 + sbbq SCALARB+56(%rsp), %r15 + movq $0x1ff, %rax + movq SCALARB+64(%rsp), %rcx + sbbq %rcx, %rax + + btq $8, %rcx + sbbq %rcx, %rcx + + cmovncq SCALARB(%rsp), %r8 + cmovncq SCALARB+8(%rsp), %r9 + cmovncq SCALARB+16(%rsp), %r10 + cmovncq SCALARB+24(%rsp), %r11 + cmovncq SCALARB+32(%rsp), %r12 + cmovncq SCALARB+40(%rsp), %r13 + cmovncq SCALARB+48(%rsp), %r14 + cmovncq SCALARB+56(%rsp), %r15 + cmovncq SCALARB+64(%rsp), %rax + + movq %r8, SCALARB(%rsp) + movq %r9, SCALARB+8(%rsp) + movq %r10, SCALARB+16(%rsp) + movq %r11, SCALARB+24(%rsp) + movq %r12, SCALARB+32(%rsp) + movq %r13, SCALARB+40(%rsp) + movq %r14, SCALARB+48(%rsp) + movq %r15, SCALARB+56(%rsp) + movq %rax, SCALARB+64(%rsp) + + movq TAB+NUMSIZE(%rsp), %r8 + movq TAB+NUMSIZE+8(%rsp), %r9 + movq TAB+NUMSIZE+16(%rsp), %r10 + movq TAB+NUMSIZE+24(%rsp), %r11 + movq TAB+NUMSIZE+32(%rsp), %r12 + movq TAB+NUMSIZE+40(%rsp), %r13 + movq TAB+NUMSIZE+48(%rsp), %r14 + movq TAB+NUMSIZE+56(%rsp), %r15 + movq TAB+NUMSIZE+64(%rsp), %rax + + movq %r8, %rbx + movq %r12, %rbp + orq %r9, %rbx + orq %r13, %rbp + orq %r10, %rbx + orq %r14, %rbp + orq %r11, %rbx + orq %r15, %rbp + orq %rbp, %rbx + orq %rax, %rbx + cmovzq %rbx, %rcx + + xorq %rcx, %r8 + xorq %rcx, %r9 + xorq %rcx, %r10 + xorq %rcx, %r11 + xorq %rcx, %r12 + xorq %rcx, %r13 + xorq %rcx, %r14 + xorq %rcx, %r15 + andq $0x1FF, %rcx + xorq %rcx, %rax + + movq %r8, TAB+NUMSIZE(%rsp) + movq %r9, TAB+NUMSIZE+8(%rsp) + movq %r10, TAB+NUMSIZE+16(%rsp) + movq %r11, TAB+NUMSIZE+24(%rsp) + movq %r12, TAB+NUMSIZE+32(%rsp) + movq %r13, TAB+NUMSIZE+40(%rsp) + movq %r14, TAB+NUMSIZE+48(%rsp) + movq %r15, TAB+NUMSIZE+56(%rsp) + movq %rax, TAB+NUMSIZE+64(%rsp) + +// Compute and record tab[1] = 2 * p, ..., tab[15] = 16 * P + + leaq TAB+JACSIZE*1(%rsp), %rdi + leaq TAB(%rsp), %rsi + CFI_CALL(Lp521_jscalarmul_alt_jdouble) + + leaq TAB+JACSIZE*2(%rsp), %rdi + leaq TAB+JACSIZE*1(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp521_jscalarmul_alt_jadd) + + leaq TAB+JACSIZE*3(%rsp), %rdi + leaq TAB+JACSIZE*1(%rsp), %rsi + CFI_CALL(Lp521_jscalarmul_alt_jdouble) + + leaq TAB+JACSIZE*4(%rsp), %rdi + leaq TAB+JACSIZE*3(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp521_jscalarmul_alt_jadd) + + leaq TAB+JACSIZE*5(%rsp), %rdi + leaq TAB+JACSIZE*2(%rsp), %rsi + CFI_CALL(Lp521_jscalarmul_alt_jdouble) + + leaq TAB+JACSIZE*6(%rsp), %rdi + leaq TAB+JACSIZE*5(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp521_jscalarmul_alt_jadd) + + leaq TAB+JACSIZE*7(%rsp), %rdi + leaq TAB+JACSIZE*3(%rsp), %rsi + CFI_CALL(Lp521_jscalarmul_alt_jdouble) + + leaq TAB+JACSIZE*8(%rsp), %rdi + leaq TAB+JACSIZE*7(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp521_jscalarmul_alt_jadd) + + leaq TAB+JACSIZE*9(%rsp), %rdi + leaq TAB+JACSIZE*4(%rsp), %rsi + CFI_CALL(Lp521_jscalarmul_alt_jdouble) + + leaq TAB+JACSIZE*10(%rsp), %rdi + leaq TAB+JACSIZE*9(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp521_jscalarmul_alt_jadd) + + leaq TAB+JACSIZE*11(%rsp), %rdi + leaq TAB+JACSIZE*5(%rsp), %rsi + CFI_CALL(Lp521_jscalarmul_alt_jdouble) + + leaq TAB+JACSIZE*12(%rsp), %rdi + leaq TAB+JACSIZE*11(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp521_jscalarmul_alt_jadd) + + leaq TAB+JACSIZE*13(%rsp), %rdi + leaq TAB+JACSIZE*6(%rsp), %rsi + CFI_CALL(Lp521_jscalarmul_alt_jdouble) + + leaq TAB+JACSIZE*14(%rsp), %rdi + leaq TAB+JACSIZE*13(%rsp), %rsi + leaq TAB(%rsp), %rdx + CFI_CALL(Lp521_jscalarmul_alt_jadd) + + leaq TAB+JACSIZE*15(%rsp), %rdi + leaq TAB+JACSIZE*7(%rsp), %rsi + CFI_CALL(Lp521_jscalarmul_alt_jdouble) + +// Add the recoding constant sum_i(16 * 32^i) to the scalar to allow signed +// digits. The digits of the constant, in lowest-to-highest order, are as +// follows; they are generated dynamically to use fewer large constant loads. +// +// 0x0842108421084210 %rax +// 0x1084210842108421 %rbx +// 0x2108421084210842 %rbx<<1 +// 0x4210842108421084 %rbx<<2 +// 0x8421084210842108 %rbx<<3 +// 0x0842108421084210 %rax +// 0x1084210842108421 %rbx +// 0x2108421084210842 %rbx<<1 +// 0x0000000000000084 + + movq $0x1084210842108421, %rax + movq %rax, %rbx + shrq $1, %rax + movq SCALARB(%rsp), %r8 + addq %rax, %r8 + movq SCALARB+8(%rsp), %r9 + adcq %rbx, %r9 + leaq (%rbx,%rbx), %rcx + movq SCALARB+16(%rsp), %r10 + adcq %rcx, %r10 + leaq (%rcx,%rcx), %rcx + movq SCALARB+24(%rsp), %r11 + adcq %rcx, %r11 + leaq (%rcx,%rcx), %rcx + movq SCALARB+32(%rsp), %r12 + adcq %rcx, %r12 + movq SCALARB+40(%rsp), %r13 + adcq %rax, %r13 + movq SCALARB+48(%rsp), %r14 + adcq %rbx, %r14 + movq SCALARB+56(%rsp), %r15 + leaq (%rbx,%rbx), %rcx + adcq %rcx, %r15 + movq SCALARB+64(%rsp), %rax + adcq $0x84, %rax + +// Because of the initial reduction the top bitfield (>= bits 520) is <= 1, +// i.e. just a single bit. Record that in %rdi, then shift the whole +// scalar left 56 bits to align the top of the next bitfield with the MSB +// (bits 571..575). + + movq %rax, %rdi + shrq $8, %rdi + shldq $56, %r15, %rax + shldq $56, %r14, %r15 + shldq $56, %r13, %r14 + shldq $56, %r12, %r13 + shldq $56, %r11, %r12 + shldq $56, %r10, %r11 + shldq $56, %r9, %r10 + shldq $56, %r8, %r9 + shlq $56, %r8 + + movq %r8, SCALARB(%rsp) + movq %r9, SCALARB+8(%rsp) + movq %r10, SCALARB+16(%rsp) + movq %r11, SCALARB+24(%rsp) + movq %r12, SCALARB+32(%rsp) + movq %r13, SCALARB+40(%rsp) + movq %r14, SCALARB+48(%rsp) + movq %r15, SCALARB+56(%rsp) + movq %rax, SCALARB+64(%rsp) + +// According to the top bit, initialize the accumulator to P or 0. This top +// digit, uniquely, is not recoded so there is no sign adjustment to make. +// We only really need to adjust the z coordinate to zero, but do all three. + + xorl %ecx, %ecx + testq %rdi, %rdi + + movq TAB(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC(%rsp) + movq TAB+8(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+8(%rsp) + movq TAB+16(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+16(%rsp) + movq TAB+24(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+24(%rsp) + movq TAB+32(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+32(%rsp) + movq TAB+40(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+40(%rsp) + movq TAB+48(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+48(%rsp) + movq TAB+56(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+56(%rsp) + movq TAB+64(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+64(%rsp) + movq TAB+72(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+72(%rsp) + movq TAB+80(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+80(%rsp) + movq TAB+88(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+88(%rsp) + movq TAB+96(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+96(%rsp) + movq TAB+104(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+104(%rsp) + movq TAB+112(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+112(%rsp) + movq TAB+120(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+120(%rsp) + movq TAB+128(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+128(%rsp) + movq TAB+136(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+136(%rsp) + movq TAB+144(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+144(%rsp) + movq TAB+152(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+152(%rsp) + movq TAB+160(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+160(%rsp) + movq TAB+168(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+168(%rsp) + movq TAB+176(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+176(%rsp) + movq TAB+184(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+184(%rsp) + movq TAB+192(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+192(%rsp) + movq TAB+200(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+200(%rsp) + movq TAB+208(%rsp), %rax + cmovzq %rcx, %rax + movq %rax, ACC+208(%rsp) + +// Main loop over size-5 bitfields: double 5 times then add signed digit +// At each stage we shift the scalar left by 5 bits so we can simply pick +// the top 5 bits as the bitfield, saving some fiddle over indexing. + + movl $520, %ebp + +Lp521_jscalarmul_alt_mainloop: + subq $5, %rbp + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_jdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_jdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_jdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_jdouble) + + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_jdouble) + +// Choose the bitfield and adjust it to sign and magnitude + + movq SCALARB(%rsp), %r8 + movq SCALARB+8(%rsp), %r9 + movq SCALARB+16(%rsp), %r10 + movq SCALARB+24(%rsp), %r11 + movq SCALARB+32(%rsp), %r12 + movq SCALARB+40(%rsp), %r13 + movq SCALARB+48(%rsp), %r14 + movq SCALARB+56(%rsp), %r15 + movq SCALARB+64(%rsp), %rax + + + movq %rax, %rdi + shrq $59, %rdi + + shldq $5, %r15, %rax + shldq $5, %r14, %r15 + shldq $5, %r13, %r14 + shldq $5, %r12, %r13 + shldq $5, %r11, %r12 + shldq $5, %r10, %r11 + shldq $5, %r9, %r10 + shldq $5, %r8, %r9 + shlq $5, %r8 + + movq %r8, SCALARB(%rsp) + movq %r9, SCALARB+8(%rsp) + movq %r10, SCALARB+16(%rsp) + movq %r11, SCALARB+24(%rsp) + movq %r12, SCALARB+32(%rsp) + movq %r13, SCALARB+40(%rsp) + movq %r14, SCALARB+48(%rsp) + movq %r15, SCALARB+56(%rsp) + movq %rax, SCALARB+64(%rsp) + + subq $16, %rdi + sbbq %rsi, %rsi // %rsi = sign of digit (-1 = negative) + xorq %rsi, %rdi + subq %rsi, %rdi // %rdi = absolute value of digit + +// Conditionally select the table entry tab[i-1] = i * P in constant time +// Again, this is done in separate sweeps per coordinate, doing y last. + + xorl %eax, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + xorl %r8d, %r8d + xorl %r9d, %r9d + xorl %r10d, %r10d + xorl %r11d, %r11d + xorl %r12d, %r12d + selectblock(1,0) + selectblock(2,0) + selectblock(3,0) + selectblock(4,0) + selectblock(5,0) + selectblock(6,0) + selectblock(7,0) + selectblock(8,0) + selectblock(9,0) + selectblock(10,0) + selectblock(11,0) + selectblock(12,0) + selectblock(13,0) + selectblock(14,0) + selectblock(15,0) + selectblock(16,0) + movq %rax, TABENT(%rsp) + movq %rbx, TABENT+8(%rsp) + movq %rcx, TABENT+16(%rsp) + movq %rdx, TABENT+24(%rsp) + movq %r8, TABENT+32(%rsp) + movq %r9, TABENT+40(%rsp) + movq %r10, TABENT+48(%rsp) + movq %r11, TABENT+56(%rsp) + movq %r12, TABENT+64(%rsp) + + xorl %eax, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + xorl %r8d, %r8d + xorl %r9d, %r9d + xorl %r10d, %r10d + xorl %r11d, %r11d + xorl %r12d, %r12d + selectblock(1,2) + selectblock(2,2) + selectblock(3,2) + selectblock(4,2) + selectblock(5,2) + selectblock(6,2) + selectblock(7,2) + selectblock(8,2) + selectblock(9,2) + selectblock(10,2) + selectblock(11,2) + selectblock(12,2) + selectblock(13,2) + selectblock(14,2) + selectblock(15,2) + selectblock(16,2) + movq %rax, TABENT+2*NUMSIZE(%rsp) + movq %rbx, TABENT+2*NUMSIZE+8(%rsp) + movq %rcx, TABENT+2*NUMSIZE+16(%rsp) + movq %rdx, TABENT+2*NUMSIZE+24(%rsp) + movq %r8, TABENT+2*NUMSIZE+32(%rsp) + movq %r9, TABENT+2*NUMSIZE+40(%rsp) + movq %r10, TABENT+2*NUMSIZE+48(%rsp) + movq %r11, TABENT+2*NUMSIZE+56(%rsp) + movq %r12, TABENT+2*NUMSIZE+64(%rsp) + + xorl %eax, %eax + xorl %ebx, %ebx + xorl %ecx, %ecx + xorl %edx, %edx + xorl %r8d, %r8d + xorl %r9d, %r9d + xorl %r10d, %r10d + xorl %r11d, %r11d + xorl %r12d, %r12d + selectblock(1,1) + selectblock(2,1) + selectblock(3,1) + selectblock(4,1) + selectblock(5,1) + selectblock(6,1) + selectblock(7,1) + selectblock(8,1) + selectblock(9,1) + selectblock(10,1) + selectblock(11,1) + selectblock(12,1) + selectblock(13,1) + selectblock(14,1) + selectblock(15,1) + selectblock(16,1) + +// Store it to "tabent" with the y coordinate optionally negated. +// This is done carefully to give coordinates < p_521 even in +// the degenerate case y = 0 (when z = 0 for points on the curve). + + movq %rax, %r13 + orq %rbx, %r13 + movq %rcx, %r14 + orq %rdx, %r14 + movq %r8, %r15 + orq %r9, %r15 + movq %r10, %rdi + orq %r11, %rdi + orq %r14, %r13 + orq %rdi, %r15 + orq %r12, %r15 + orq %r15, %r13 + cmovzq %r13, %rsi + + xorq %rsi, %rax + xorq %rsi, %rbx + xorq %rsi, %rcx + xorq %rsi, %rdx + xorq %rsi, %r8 + xorq %rsi, %r9 + xorq %rsi, %r10 + xorq %rsi, %r11 + andq $0x1FF, %rsi + xorq %rsi, %r12 + + movq %rax, TABENT+NUMSIZE(%rsp) + movq %rbx, TABENT+NUMSIZE+8(%rsp) + movq %rcx, TABENT+NUMSIZE+16(%rsp) + movq %rdx, TABENT+NUMSIZE+24(%rsp) + movq %r8, TABENT+NUMSIZE+32(%rsp) + movq %r9, TABENT+NUMSIZE+40(%rsp) + movq %r10, TABENT+NUMSIZE+48(%rsp) + movq %r11, TABENT+NUMSIZE+56(%rsp) + movq %r12, TABENT+NUMSIZE+64(%rsp) + +// Add to the accumulator + + leaq TABENT(%rsp), %rdx + leaq ACC(%rsp), %rsi + leaq ACC(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_jadd) + + testq %rbp, %rbp + jne Lp521_jscalarmul_alt_mainloop + +// That's the end of the main loop, and we just need to copy the +// result in "acc" to the output. + + movq res, %rdi + movq ACC(%rsp), %rax + movq %rax, (%rdi) + movq ACC+8(%rsp), %rax + movq %rax, 8(%rdi) + movq ACC+16(%rsp), %rax + movq %rax, 16(%rdi) + movq ACC+24(%rsp), %rax + movq %rax, 24(%rdi) + movq ACC+32(%rsp), %rax + movq %rax, 32(%rdi) + movq ACC+40(%rsp), %rax + movq %rax, 40(%rdi) + movq ACC+48(%rsp), %rax + movq %rax, 48(%rdi) + movq ACC+56(%rsp), %rax + movq %rax, 56(%rdi) + movq ACC+64(%rsp), %rax + movq %rax, 64(%rdi) + movq ACC+72(%rsp), %rax + movq %rax, 72(%rdi) + movq ACC+80(%rsp), %rax + movq %rax, 80(%rdi) + movq ACC+88(%rsp), %rax + movq %rax, 88(%rdi) + movq ACC+96(%rsp), %rax + movq %rax, 96(%rdi) + movq ACC+104(%rsp), %rax + movq %rax, 104(%rdi) + movq ACC+112(%rsp), %rax + movq %rax, 112(%rdi) + movq ACC+120(%rsp), %rax + movq %rax, 120(%rdi) + movq ACC+128(%rsp), %rax + movq %rax, 128(%rdi) + movq ACC+136(%rsp), %rax + movq %rax, 136(%rdi) + movq ACC+144(%rsp), %rax + movq %rax, 144(%rdi) + movq ACC+152(%rsp), %rax + movq %rax, 152(%rdi) + movq ACC+160(%rsp), %rax + movq %rax, 160(%rdi) + movq ACC+168(%rsp), %rax + movq %rax, 168(%rdi) + movq ACC+176(%rsp), %rax + movq %rax, 176(%rdi) + movq ACC+184(%rsp), %rax + movq %rax, 184(%rdi) + movq ACC+192(%rsp), %rax + movq %rax, 192(%rdi) + movq ACC+200(%rsp), %rax + movq %rax, 200(%rdi) + movq ACC+208(%rsp), %rax + movq %rax, 208(%rdi) + +// Restore stack and registers and return + + CFI_INC_RSP(NSPACE) + CFI_POP(%rbx) + CFI_POP(%rbp) + CFI_POP(%r12) + CFI_POP(%r13) + CFI_POP(%r14) + CFI_POP(%r15) + CFI_RET + +#if WINDOWS_ABI +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_alt_standard) +#else +S2N_BN_SIZE_DIRECTIVE(p521_jscalarmul_alt) +#endif + +// Local copies of subroutines, complete clones at the moment + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_alt_bignum_mod_p521_9) + +Lp521_jscalarmul_alt_bignum_mod_p521_9: + CFI_START + CFI_PUSH(%rbx) + movq 0x40(%rsi), %rax + movl $0x1ff, %edx + andq %rax, %rdx + shrq $0x9, %rax + stc + adcq (%rsi), %rax + movq 0x8(%rsi), %rcx + adcq $0x0, %rcx + movq 0x10(%rsi), %r8 + adcq $0x0, %r8 + movq 0x18(%rsi), %r9 + adcq $0x0, %r9 + movq 0x20(%rsi), %r10 + adcq $0x0, %r10 + movq 0x28(%rsi), %r11 + adcq $0x0, %r11 + movq 0x30(%rsi), %rbx + adcq $0x0, %rbx + movq 0x38(%rsi), %rsi + adcq $0x0, %rsi + adcq $0x0, %rdx + cmpq $0x200, %rdx + sbbq $0x0, %rax + movq %rax, (%rdi) + sbbq $0x0, %rcx + movq %rcx, 0x8(%rdi) + sbbq $0x0, %r8 + movq %r8, 0x10(%rdi) + sbbq $0x0, %r9 + movq %r9, 0x18(%rdi) + sbbq $0x0, %r10 + movq %r10, 0x20(%rdi) + sbbq $0x0, %r11 + movq %r11, 0x28(%rdi) + sbbq $0x0, %rbx + movq %rbx, 0x30(%rdi) + sbbq $0x0, %rsi + movq %rsi, 0x38(%rdi) + sbbq $0x0, %rdx + andq $0x1ff, %rdx + movq %rdx, 0x40(%rdi) + CFI_POP(%rbx) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_alt_bignum_mod_p521_9) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_alt_bignum_mod_n521_9) + +Lp521_jscalarmul_alt_bignum_mod_n521_9: + CFI_START + movq 0x40(%rsi), %rcx + movq $0xfffffffffffffe00, %rax + orq %rcx, %rax + movq %rax, 0x40(%rdi) + shrq $0x9, %rcx + addq $0x1, %rcx + movq $0x449048e16ec79bf7, %rax + mulq %rcx + movq %rax, %r8 + movq %rdx, %r9 + movq $0xc44a36477663b851, %rax + mulq %rcx + xorq %r10, %r10 + addq %rax, %r9 + adcq %rdx, %r10 + movq $0x8033feb708f65a2f, %rax + mulq %rcx + xorq %r11, %r11 + addq %rax, %r10 + adcq %rdx, %r11 + movq $0xae79787c40d06994, %rax + mulq %rcx + imulq $0x5, %rcx, %rcx + addq %rax, %r11 + adcq %rdx, %rcx + sbbq %rdx, %rdx + negq %rdx + xorl %eax, %eax + addq (%rsi), %r8 + movq %r8, (%rdi) + adcq 0x8(%rsi), %r9 + movq %r9, 0x8(%rdi) + adcq 0x10(%rsi), %r10 + movq %r10, 0x10(%rdi) + adcq 0x18(%rsi), %r11 + movq %r11, 0x18(%rdi) + adcq 0x20(%rsi), %rcx + movq %rcx, 0x20(%rdi) + adcq 0x28(%rsi), %rdx + movq %rdx, 0x28(%rdi) + movq 0x30(%rsi), %rdx + adcq %rax, %rdx + movq %rdx, 0x30(%rdi) + movq 0x38(%rsi), %rdx + adcq %rax, %rdx + movq %rdx, 0x38(%rdi) + movq 0x40(%rdi), %rcx + adcq %rax, %rcx + cmc + sbbq %rdx, %rdx + movq $0x449048e16ec79bf7, %r8 + andq %rdx, %r8 + movq $0xc44a36477663b851, %r9 + andq %rdx, %r9 + movq $0x8033feb708f65a2f, %r10 + andq %rdx, %r10 + movq $0xae79787c40d06994, %r11 + andq %rdx, %r11 + andq $0x5, %rdx + subq %r8, (%rdi) + sbbq %r9, 0x8(%rdi) + sbbq %r10, 0x10(%rdi) + sbbq %r11, 0x18(%rdi) + sbbq %rdx, 0x20(%rdi) + sbbq %rax, 0x28(%rdi) + sbbq %rax, 0x30(%rdi) + sbbq %rax, 0x38(%rdi) + sbbl %eax, %ecx + andl $0x1ff, %ecx + movq %rcx, 0x40(%rdi) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_alt_bignum_mod_n521_9) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_alt_jadd) + +Lp521_jscalarmul_alt_jadd: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(528) + movq %rdi, 0x1f8(%rsp) + movq %rsi, 0x200(%rsp) + movq %rdx, 0x208(%rsp) + movq 0x200(%rsp), %rsi + leaq 0x90(%rsi), %rsi + leaq (%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_sqr_p521) + movq 0x208(%rsp), %rdi + leaq 0x90(%rdi), %rsi + leaq 0x168(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_sqr_p521) + movq 0x200(%rsp), %rsi + movq 0x208(%rsp), %rdi + leaq 0x48(%rsi), %rdx + leaq 0x90(%rdi), %rsi + leaq 0x1b0(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_mul_p521) + movq 0x200(%rsp), %rsi + movq 0x208(%rsp), %rdi + leaq 0x48(%rdi), %rdx + leaq 0x90(%rsi), %rsi + leaq 0x48(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_mul_p521) + movq 0x208(%rsp), %rdi + leaq (%rdi), %rdx + leaq (%rsp), %rsi + leaq 0x90(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_mul_p521) + movq 0x200(%rsp), %rsi + leaq (%rsi), %rdx + leaq 0x168(%rsp), %rsi + leaq 0x120(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_mul_p521) + leaq 0x48(%rsp), %rdx + leaq (%rsp), %rsi + leaq 0x48(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_mul_p521) + leaq 0x1b0(%rsp), %rdx + leaq 0x168(%rsp), %rsi + leaq 0x1b0(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_mul_p521) + movq 0x90(%rsp), %rax + subq 0x120(%rsp), %rax + movq 0x98(%rsp), %rdx + sbbq 0x128(%rsp), %rdx + movq 0xa0(%rsp), %r8 + sbbq 0x130(%rsp), %r8 + movq 0xa8(%rsp), %r9 + sbbq 0x138(%rsp), %r9 + movq 0xb0(%rsp), %r10 + sbbq 0x140(%rsp), %r10 + movq 0xb8(%rsp), %r11 + sbbq 0x148(%rsp), %r11 + movq 0xc0(%rsp), %r12 + sbbq 0x150(%rsp), %r12 + movq 0xc8(%rsp), %r13 + sbbq 0x158(%rsp), %r13 + movq 0xd0(%rsp), %r14 + sbbq 0x160(%rsp), %r14 + sbbq $0x0, %rax + movq %rax, 0x168(%rsp) + sbbq $0x0, %rdx + movq %rdx, 0x170(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x178(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x180(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x188(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x190(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x198(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x1a0(%rsp) + sbbq $0x0, %r14 + andq $0x1ff, %r14 + movq %r14, 0x1a8(%rsp) + movq 0x48(%rsp), %rax + subq 0x1b0(%rsp), %rax + movq 0x50(%rsp), %rdx + sbbq 0x1b8(%rsp), %rdx + movq 0x58(%rsp), %r8 + sbbq 0x1c0(%rsp), %r8 + movq 0x60(%rsp), %r9 + sbbq 0x1c8(%rsp), %r9 + movq 0x68(%rsp), %r10 + sbbq 0x1d0(%rsp), %r10 + movq 0x70(%rsp), %r11 + sbbq 0x1d8(%rsp), %r11 + movq 0x78(%rsp), %r12 + sbbq 0x1e0(%rsp), %r12 + movq 0x80(%rsp), %r13 + sbbq 0x1e8(%rsp), %r13 + movq 0x88(%rsp), %r14 + sbbq 0x1f0(%rsp), %r14 + sbbq $0x0, %rax + movq %rax, 0x48(%rsp) + sbbq $0x0, %rdx + movq %rdx, 0x50(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x58(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x60(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x68(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x70(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x78(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x80(%rsp) + sbbq $0x0, %r14 + andq $0x1ff, %r14 + movq %r14, 0x88(%rsp) + leaq 0x168(%rsp), %rsi + leaq 0xd8(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_sqr_p521) + leaq 0x48(%rsp), %rsi + leaq (%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_sqr_p521) + leaq 0x120(%rsp), %rdx + leaq 0xd8(%rsp), %rsi + leaq 0x120(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_mul_p521) + leaq 0x90(%rsp), %rdx + leaq 0xd8(%rsp), %rsi + leaq 0x90(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_mul_p521) + movq (%rsp), %rax + subq 0x120(%rsp), %rax + movq 0x8(%rsp), %rdx + sbbq 0x128(%rsp), %rdx + movq 0x10(%rsp), %r8 + sbbq 0x130(%rsp), %r8 + movq 0x18(%rsp), %r9 + sbbq 0x138(%rsp), %r9 + movq 0x20(%rsp), %r10 + sbbq 0x140(%rsp), %r10 + movq 0x28(%rsp), %r11 + sbbq 0x148(%rsp), %r11 + movq 0x30(%rsp), %r12 + sbbq 0x150(%rsp), %r12 + movq 0x38(%rsp), %r13 + sbbq 0x158(%rsp), %r13 + movq 0x40(%rsp), %r14 + sbbq 0x160(%rsp), %r14 + sbbq $0x0, %rax + movq %rax, (%rsp) + sbbq $0x0, %rdx + movq %rdx, 0x8(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x10(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x18(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x20(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x28(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x30(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x38(%rsp) + sbbq $0x0, %r14 + andq $0x1ff, %r14 + movq %r14, 0x40(%rsp) + movq 0x90(%rsp), %rax + subq 0x120(%rsp), %rax + movq 0x98(%rsp), %rdx + sbbq 0x128(%rsp), %rdx + movq 0xa0(%rsp), %r8 + sbbq 0x130(%rsp), %r8 + movq 0xa8(%rsp), %r9 + sbbq 0x138(%rsp), %r9 + movq 0xb0(%rsp), %r10 + sbbq 0x140(%rsp), %r10 + movq 0xb8(%rsp), %r11 + sbbq 0x148(%rsp), %r11 + movq 0xc0(%rsp), %r12 + sbbq 0x150(%rsp), %r12 + movq 0xc8(%rsp), %r13 + sbbq 0x158(%rsp), %r13 + movq 0xd0(%rsp), %r14 + sbbq 0x160(%rsp), %r14 + sbbq $0x0, %rax + movq %rax, 0xd8(%rsp) + sbbq $0x0, %rdx + movq %rdx, 0xe0(%rsp) + sbbq $0x0, %r8 + movq %r8, 0xe8(%rsp) + sbbq $0x0, %r9 + movq %r9, 0xf0(%rsp) + sbbq $0x0, %r10 + movq %r10, 0xf8(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x100(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x108(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x110(%rsp) + sbbq $0x0, %r14 + andq $0x1ff, %r14 + movq %r14, 0x118(%rsp) + movq 0x200(%rsp), %rsi + leaq 0x90(%rsi), %rdx + leaq 0x168(%rsp), %rsi + leaq 0x168(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_mul_p521) + movq (%rsp), %rax + subq 0x90(%rsp), %rax + movq 0x8(%rsp), %rdx + sbbq 0x98(%rsp), %rdx + movq 0x10(%rsp), %r8 + sbbq 0xa0(%rsp), %r8 + movq 0x18(%rsp), %r9 + sbbq 0xa8(%rsp), %r9 + movq 0x20(%rsp), %r10 + sbbq 0xb0(%rsp), %r10 + movq 0x28(%rsp), %r11 + sbbq 0xb8(%rsp), %r11 + movq 0x30(%rsp), %r12 + sbbq 0xc0(%rsp), %r12 + movq 0x38(%rsp), %r13 + sbbq 0xc8(%rsp), %r13 + movq 0x40(%rsp), %r14 + sbbq 0xd0(%rsp), %r14 + sbbq $0x0, %rax + movq %rax, (%rsp) + sbbq $0x0, %rdx + movq %rdx, 0x8(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x10(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x18(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x20(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x28(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x30(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x38(%rsp) + sbbq $0x0, %r14 + andq $0x1ff, %r14 + movq %r14, 0x40(%rsp) + movq 0x120(%rsp), %rax + subq (%rsp), %rax + movq 0x128(%rsp), %rdx + sbbq 0x8(%rsp), %rdx + movq 0x130(%rsp), %r8 + sbbq 0x10(%rsp), %r8 + movq 0x138(%rsp), %r9 + sbbq 0x18(%rsp), %r9 + movq 0x140(%rsp), %r10 + sbbq 0x20(%rsp), %r10 + movq 0x148(%rsp), %r11 + sbbq 0x28(%rsp), %r11 + movq 0x150(%rsp), %r12 + sbbq 0x30(%rsp), %r12 + movq 0x158(%rsp), %r13 + sbbq 0x38(%rsp), %r13 + movq 0x160(%rsp), %r14 + sbbq 0x40(%rsp), %r14 + sbbq $0x0, %rax + movq %rax, 0x120(%rsp) + sbbq $0x0, %rdx + movq %rdx, 0x128(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x130(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x138(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x140(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x148(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x150(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x158(%rsp) + sbbq $0x0, %r14 + andq $0x1ff, %r14 + movq %r14, 0x160(%rsp) + leaq 0x1b0(%rsp), %rdx + leaq 0xd8(%rsp), %rsi + leaq 0xd8(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_mul_p521) + movq 0x208(%rsp), %rdi + leaq 0x90(%rdi), %rdx + leaq 0x168(%rsp), %rsi + leaq 0x168(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_mul_p521) + leaq 0x120(%rsp), %rdx + leaq 0x48(%rsp), %rsi + leaq 0x120(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_mul_p521) + movq 0x120(%rsp), %rax + subq 0xd8(%rsp), %rax + movq 0x128(%rsp), %rdx + sbbq 0xe0(%rsp), %rdx + movq 0x130(%rsp), %r8 + sbbq 0xe8(%rsp), %r8 + movq 0x138(%rsp), %r9 + sbbq 0xf0(%rsp), %r9 + movq 0x140(%rsp), %r10 + sbbq 0xf8(%rsp), %r10 + movq 0x148(%rsp), %r11 + sbbq 0x100(%rsp), %r11 + movq 0x150(%rsp), %r12 + sbbq 0x108(%rsp), %r12 + movq 0x158(%rsp), %r13 + sbbq 0x110(%rsp), %r13 + movq 0x160(%rsp), %r14 + sbbq 0x118(%rsp), %r14 + sbbq $0x0, %rax + movq %rax, 0x120(%rsp) + sbbq $0x0, %rdx + movq %rdx, 0x128(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x130(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x138(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x140(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x148(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x150(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x158(%rsp) + sbbq $0x0, %r14 + andq $0x1ff, %r14 + movq %r14, 0x160(%rsp) + movq 0x200(%rsp), %rsi + movq 0x90(%rsi), %r8 + movq 0x98(%rsi), %r9 + movq 0xa0(%rsi), %r10 + movq 0xa8(%rsi), %r11 + movq 0xb0(%rsi), %r12 + movq 0xb8(%rsi), %r13 + movq 0xc0(%rsi), %r14 + movq 0xc8(%rsi), %r15 + movq 0xd0(%rsi), %rbp + orq %r9, %r8 + orq %r11, %r10 + orq %r13, %r12 + orq %r15, %r14 + orq %r10, %r8 + orq %r14, %r12 + orq %rbp, %r8 + orq %r12, %r8 + negq %r8 + sbbq %rax, %rax + movq 0x208(%rsp), %rdi + movq 0x90(%rdi), %r8 + movq 0x98(%rdi), %r9 + movq 0xa0(%rdi), %r10 + movq 0xa8(%rdi), %r11 + movq 0xb0(%rdi), %r12 + movq 0xb8(%rdi), %r13 + movq 0xc0(%rdi), %r14 + movq 0xc8(%rdi), %r15 + movq 0xd0(%rdi), %rbp + orq %r9, %r8 + orq %r11, %r10 + orq %r13, %r12 + orq %r15, %r14 + orq %r10, %r8 + orq %r14, %r12 + orq %rbp, %r8 + orq %r12, %r8 + negq %r8 + sbbq %rdx, %rdx + cmpq %rax, %rdx + movq 0x120(%rsp), %r8 + cmovbq 0x48(%rsi), %r8 + cmova 0x48(%rdi), %r8 + movq 0x128(%rsp), %r9 + cmovbq 0x50(%rsi), %r9 + cmova 0x50(%rdi), %r9 + movq 0x130(%rsp), %r10 + cmovbq 0x58(%rsi), %r10 + cmova 0x58(%rdi), %r10 + movq 0x138(%rsp), %r11 + cmovbq 0x60(%rsi), %r11 + cmova 0x60(%rdi), %r11 + movq 0x140(%rsp), %r12 + cmovbq 0x68(%rsi), %r12 + cmova 0x68(%rdi), %r12 + movq 0x148(%rsp), %r13 + cmovbq 0x70(%rsi), %r13 + cmova 0x70(%rdi), %r13 + movq 0x150(%rsp), %r14 + cmovbq 0x78(%rsi), %r14 + cmova 0x78(%rdi), %r14 + movq 0x158(%rsp), %r15 + cmovbq 0x80(%rsi), %r15 + cmova 0x80(%rdi), %r15 + movq 0x160(%rsp), %rbp + cmovbq 0x88(%rsi), %rbp + cmova 0x88(%rdi), %rbp + movq %r8, 0x120(%rsp) + movq %r9, 0x128(%rsp) + movq %r10, 0x130(%rsp) + movq %r11, 0x138(%rsp) + movq %r12, 0x140(%rsp) + movq %r13, 0x148(%rsp) + movq %r14, 0x150(%rsp) + movq %r15, 0x158(%rsp) + movq %rbp, 0x160(%rsp) + movq 0x168(%rsp), %r8 + cmovbq 0x90(%rsi), %r8 + cmova 0x90(%rdi), %r8 + movq 0x170(%rsp), %r9 + cmovbq 0x98(%rsi), %r9 + cmova 0x98(%rdi), %r9 + movq 0x178(%rsp), %r10 + cmovbq 0xa0(%rsi), %r10 + cmova 0xa0(%rdi), %r10 + movq 0x180(%rsp), %r11 + cmovbq 0xa8(%rsi), %r11 + cmova 0xa8(%rdi), %r11 + movq 0x188(%rsp), %r12 + cmovbq 0xb0(%rsi), %r12 + cmova 0xb0(%rdi), %r12 + movq 0x190(%rsp), %r13 + cmovbq 0xb8(%rsi), %r13 + cmova 0xb8(%rdi), %r13 + movq 0x198(%rsp), %r14 + cmovbq 0xc0(%rsi), %r14 + cmova 0xc0(%rdi), %r14 + movq 0x1a0(%rsp), %r15 + cmovbq 0xc8(%rsi), %r15 + cmova 0xc8(%rdi), %r15 + movq 0x1a8(%rsp), %rbp + cmovbq 0xd0(%rsi), %rbp + cmova 0xd0(%rdi), %rbp + movq %r8, 0x168(%rsp) + movq %r9, 0x170(%rsp) + movq %r10, 0x178(%rsp) + movq %r11, 0x180(%rsp) + movq %r12, 0x188(%rsp) + movq %r13, 0x190(%rsp) + movq %r14, 0x198(%rsp) + movq %r15, 0x1a0(%rsp) + movq %rbp, 0x1a8(%rsp) + movq (%rsp), %r8 + cmovbq (%rsi), %r8 + cmova (%rdi), %r8 + movq 0x8(%rsp), %r9 + cmovbq 0x8(%rsi), %r9 + cmova 0x8(%rdi), %r9 + movq 0x10(%rsp), %r10 + cmovbq 0x10(%rsi), %r10 + cmova 0x10(%rdi), %r10 + movq 0x18(%rsp), %r11 + cmovbq 0x18(%rsi), %r11 + cmova 0x18(%rdi), %r11 + movq 0x20(%rsp), %r12 + cmovbq 0x20(%rsi), %r12 + cmova 0x20(%rdi), %r12 + movq 0x28(%rsp), %r13 + cmovbq 0x28(%rsi), %r13 + cmova 0x28(%rdi), %r13 + movq 0x30(%rsp), %r14 + cmovbq 0x30(%rsi), %r14 + cmova 0x30(%rdi), %r14 + movq 0x38(%rsp), %r15 + cmovbq 0x38(%rsi), %r15 + cmova 0x38(%rdi), %r15 + movq 0x40(%rsp), %rbp + cmovbq 0x40(%rsi), %rbp + cmova 0x40(%rdi), %rbp + movq 0x1f8(%rsp), %rdi + movq %r8, (%rdi) + movq %r9, 0x8(%rdi) + movq %r10, 0x10(%rdi) + movq %r11, 0x18(%rdi) + movq %r12, 0x20(%rdi) + movq %r13, 0x28(%rdi) + movq %r14, 0x30(%rdi) + movq %r15, 0x38(%rdi) + movq %rbp, 0x40(%rdi) + movq 0x120(%rsp), %rax + movq %rax, 0x48(%rdi) + movq 0x128(%rsp), %rax + movq %rax, 0x50(%rdi) + movq 0x130(%rsp), %rax + movq %rax, 0x58(%rdi) + movq 0x138(%rsp), %rax + movq %rax, 0x60(%rdi) + movq 0x140(%rsp), %rax + movq %rax, 0x68(%rdi) + movq 0x148(%rsp), %rax + movq %rax, 0x70(%rdi) + movq 0x150(%rsp), %rax + movq %rax, 0x78(%rdi) + movq 0x158(%rsp), %rax + movq %rax, 0x80(%rdi) + movq 0x160(%rsp), %rax + movq %rax, 0x88(%rdi) + movq 0x168(%rsp), %rax + movq %rax, 0x90(%rdi) + movq 0x170(%rsp), %rax + movq %rax, 0x98(%rdi) + movq 0x178(%rsp), %rax + movq %rax, 0xa0(%rdi) + movq 0x180(%rsp), %rax + movq %rax, 0xa8(%rdi) + movq 0x188(%rsp), %rax + movq %rax, 0xb0(%rdi) + movq 0x190(%rsp), %rax + movq %rax, 0xb8(%rdi) + movq 0x198(%rsp), %rax + movq %rax, 0xc0(%rdi) + movq 0x1a0(%rsp), %rax + movq %rax, 0xc8(%rdi) + movq 0x1a8(%rsp), %rax + movq %rax, 0xd0(%rdi) + CFI_INC_RSP(528) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_alt_jadd) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_alt_jdouble) + +Lp521_jscalarmul_alt_jdouble: + CFI_START + CFI_PUSH(%rbx) + CFI_PUSH(%rbp) + CFI_PUSH(%r12) + CFI_PUSH(%r13) + CFI_PUSH(%r14) + CFI_PUSH(%r15) + CFI_DEC_RSP(520) + movq %rdi, 0x1f8(%rsp) + movq %rsi, 0x200(%rsp) + movq 0x200(%rsp), %rdi + leaq 0x90(%rdi), %rsi + leaq (%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_sqr_p521) + movq 0x200(%rsp), %rdi + leaq 0x48(%rdi), %rsi + leaq 0x48(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_sqr_p521) + movq 0x200(%rsp), %rdi + stc + movq (%rdi), %rax + adcq (%rsp), %rax + movq 0x8(%rdi), %rbx + adcq 0x8(%rsp), %rbx + movq 0x10(%rdi), %r8 + adcq 0x10(%rsp), %r8 + movq 0x18(%rdi), %r9 + adcq 0x18(%rsp), %r9 + movq 0x20(%rdi), %r10 + adcq 0x20(%rsp), %r10 + movq 0x28(%rdi), %r11 + adcq 0x28(%rsp), %r11 + movq 0x30(%rdi), %r12 + adcq 0x30(%rsp), %r12 + movq 0x38(%rdi), %r13 + adcq 0x38(%rsp), %r13 + movq 0x40(%rdi), %r14 + adcq 0x40(%rsp), %r14 + movq $0x200, %rdx + andq %r14, %rdx + cmpq $0x200, %rdx + sbbq $0x0, %rax + movq %rax, 0x168(%rsp) + sbbq $0x0, %rbx + movq %rbx, 0x170(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x178(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x180(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x188(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x190(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x198(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x1a0(%rsp) + sbbq %rdx, %r14 + movq %r14, 0x1a8(%rsp) + movq 0x200(%rsp), %rdi + movq (%rdi), %rax + subq (%rsp), %rax + movq 0x8(%rdi), %rdx + sbbq 0x8(%rsp), %rdx + movq 0x10(%rdi), %r8 + sbbq 0x10(%rsp), %r8 + movq 0x18(%rdi), %r9 + sbbq 0x18(%rsp), %r9 + movq 0x20(%rdi), %r10 + sbbq 0x20(%rsp), %r10 + movq 0x28(%rdi), %r11 + sbbq 0x28(%rsp), %r11 + movq 0x30(%rdi), %r12 + sbbq 0x30(%rsp), %r12 + movq 0x38(%rdi), %r13 + sbbq 0x38(%rsp), %r13 + movq 0x40(%rdi), %r14 + sbbq 0x40(%rsp), %r14 + sbbq $0x0, %rax + movq %rax, 0x120(%rsp) + sbbq $0x0, %rdx + movq %rdx, 0x128(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x130(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x138(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x140(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x148(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x150(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x158(%rsp) + sbbq $0x0, %r14 + andq $0x1ff, %r14 + movq %r14, 0x160(%rsp) + leaq 0x120(%rsp), %rdx + leaq 0x168(%rsp), %rsi + leaq 0x90(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_mul_p521) + movq 0x200(%rsp), %rdi + stc + movq 0x48(%rdi), %rax + adcq 0x90(%rdi), %rax + movq 0x50(%rdi), %rbx + adcq 0x98(%rdi), %rbx + movq 0x58(%rdi), %r8 + adcq 0xa0(%rdi), %r8 + movq 0x60(%rdi), %r9 + adcq 0xa8(%rdi), %r9 + movq 0x68(%rdi), %r10 + adcq 0xb0(%rdi), %r10 + movq 0x70(%rdi), %r11 + adcq 0xb8(%rdi), %r11 + movq 0x78(%rdi), %r12 + adcq 0xc0(%rdi), %r12 + movq 0x80(%rdi), %r13 + adcq 0xc8(%rdi), %r13 + movq 0x88(%rdi), %r14 + adcq 0xd0(%rdi), %r14 + movq $0x200, %rdx + andq %r14, %rdx + cmpq $0x200, %rdx + sbbq $0x0, %rax + movq %rax, 0x168(%rsp) + sbbq $0x0, %rbx + movq %rbx, 0x170(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x178(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x180(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x188(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x190(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x198(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x1a0(%rsp) + sbbq %rdx, %r14 + movq %r14, 0x1a8(%rsp) + leaq 0x90(%rsp), %rsi + leaq 0x1b0(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_sqr_p521) + movq 0x200(%rsp), %rdi + leaq 0x48(%rsp), %rdx + leaq (%rdi), %rsi + leaq 0xd8(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_mul_p521) + leaq 0x168(%rsp), %rsi + leaq 0x120(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_sqr_p521) + movq $0x9, %rcx + movq 0x1b0(%rsp), %rax + notq %rax + mulq %rcx + movq %rax, %r8 + movq %rdx, %r9 + movq 0x1b8(%rsp), %rax + notq %rax + mulq %rcx + xorl %r10d, %r10d + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x1c0(%rsp), %rax + notq %rax + mulq %rcx + xorl %r11d, %r11d + addq %rax, %r10 + adcq %rdx, %r11 + movq 0x1c8(%rsp), %rax + notq %rax + mulq %rcx + xorl %r12d, %r12d + addq %rax, %r11 + adcq %rdx, %r12 + movq 0x1d0(%rsp), %rax + notq %rax + mulq %rcx + xorl %r13d, %r13d + addq %rax, %r12 + adcq %rdx, %r13 + movq 0x1d8(%rsp), %rax + notq %rax + mulq %rcx + xorl %r14d, %r14d + addq %rax, %r13 + adcq %rdx, %r14 + movq 0x1e0(%rsp), %rax + notq %rax + mulq %rcx + xorl %r15d, %r15d + addq %rax, %r14 + adcq %rdx, %r15 + movq 0x1e8(%rsp), %rax + notq %rax + mulq %rcx + xorl %ebx, %ebx + addq %rax, %r15 + adcq %rdx, %rbx + movq 0x1f0(%rsp), %rax + xorq $0x1ff, %rax + imulq %rcx, %rax + addq %rax, %rbx + xorl %eax, %eax + movl $0xc, %ecx + movq 0xd8(%rsp), %rax + mulq %rcx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %rbp, %rbp + movq 0xe0(%rsp), %rax + mulq %rcx + subq %rbp, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rbp, %rbp + movq 0xe8(%rsp), %rax + mulq %rcx + subq %rbp, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + movq 0xf0(%rsp), %rax + mulq %rcx + subq %rbp, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rbp, %rbp + movq 0xf8(%rsp), %rax + mulq %rcx + subq %rbp, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x100(%rsp), %rax + mulq %rcx + subq %rbp, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rbp, %rbp + movq 0x108(%rsp), %rax + mulq %rcx + subq %rbp, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + movq 0x110(%rsp), %rax + mulq %rcx + subq %rbp, %rdx + addq %rax, %r15 + adcq %rdx, %rbx + movq 0x118(%rsp), %rax + imulq %rcx, %rax + addq %rax, %rbx + movq %r9, %rax + andq %r10, %rax + andq %r11, %rax + andq %r12, %rax + andq %r13, %rax + andq %r14, %rax + andq %r15, %rax + movq %rbx, %rdx + shrq $0x9, %rdx + orq $0xfffffffffffffe00, %rbx + leaq 0x1(%rdx), %rcx + addq %r8, %rcx + movl $0x0, %ecx + adcq %rcx, %rax + movq %rbx, %rax + adcq %rcx, %rax + adcq %rdx, %r8 + movq %r8, 0x1b0(%rsp) + adcq %rcx, %r9 + movq %r9, 0x1b8(%rsp) + adcq %rcx, %r10 + movq %r10, 0x1c0(%rsp) + adcq %rcx, %r11 + movq %r11, 0x1c8(%rsp) + adcq %rcx, %r12 + movq %r12, 0x1d0(%rsp) + adcq %rcx, %r13 + movq %r13, 0x1d8(%rsp) + adcq %rcx, %r14 + movq %r14, 0x1e0(%rsp) + adcq %rcx, %r15 + movq %r15, 0x1e8(%rsp) + adcq %rcx, %rbx + andq $0x1ff, %rbx + movq %rbx, 0x1f0(%rsp) + movq 0x120(%rsp), %rax + subq (%rsp), %rax + movq 0x128(%rsp), %rdx + sbbq 0x8(%rsp), %rdx + movq 0x130(%rsp), %r8 + sbbq 0x10(%rsp), %r8 + movq 0x138(%rsp), %r9 + sbbq 0x18(%rsp), %r9 + movq 0x140(%rsp), %r10 + sbbq 0x20(%rsp), %r10 + movq 0x148(%rsp), %r11 + sbbq 0x28(%rsp), %r11 + movq 0x150(%rsp), %r12 + sbbq 0x30(%rsp), %r12 + movq 0x158(%rsp), %r13 + sbbq 0x38(%rsp), %r13 + movq 0x160(%rsp), %r14 + sbbq 0x40(%rsp), %r14 + sbbq $0x0, %rax + movq %rax, 0x168(%rsp) + sbbq $0x0, %rdx + movq %rdx, 0x170(%rsp) + sbbq $0x0, %r8 + movq %r8, 0x178(%rsp) + sbbq $0x0, %r9 + movq %r9, 0x180(%rsp) + sbbq $0x0, %r10 + movq %r10, 0x188(%rsp) + sbbq $0x0, %r11 + movq %r11, 0x190(%rsp) + sbbq $0x0, %r12 + movq %r12, 0x198(%rsp) + sbbq $0x0, %r13 + movq %r13, 0x1a0(%rsp) + sbbq $0x0, %r14 + andq $0x1ff, %r14 + movq %r14, 0x1a8(%rsp) + leaq 0x48(%rsp), %rsi + leaq 0x120(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_sqr_p521) + movq 0x1f8(%rsp), %rdi + movq 0x168(%rsp), %rax + subq 0x48(%rsp), %rax + movq 0x170(%rsp), %rdx + sbbq 0x50(%rsp), %rdx + movq 0x178(%rsp), %r8 + sbbq 0x58(%rsp), %r8 + movq 0x180(%rsp), %r9 + sbbq 0x60(%rsp), %r9 + movq 0x188(%rsp), %r10 + sbbq 0x68(%rsp), %r10 + movq 0x190(%rsp), %r11 + sbbq 0x70(%rsp), %r11 + movq 0x198(%rsp), %r12 + sbbq 0x78(%rsp), %r12 + movq 0x1a0(%rsp), %r13 + sbbq 0x80(%rsp), %r13 + movq 0x1a8(%rsp), %r14 + sbbq 0x88(%rsp), %r14 + sbbq $0x0, %rax + movq %rax, 0x90(%rdi) + sbbq $0x0, %rdx + movq %rdx, 0x98(%rdi) + sbbq $0x0, %r8 + movq %r8, 0xa0(%rdi) + sbbq $0x0, %r9 + movq %r9, 0xa8(%rdi) + sbbq $0x0, %r10 + movq %r10, 0xb0(%rdi) + sbbq $0x0, %r11 + movq %r11, 0xb8(%rdi) + sbbq $0x0, %r12 + movq %r12, 0xc0(%rdi) + sbbq $0x0, %r13 + movq %r13, 0xc8(%rdi) + sbbq $0x0, %r14 + andq $0x1ff, %r14 + movq %r14, 0xd0(%rdi) + leaq 0x90(%rsp), %rdx + leaq 0x1b0(%rsp), %rsi + leaq 0x168(%rsp), %rdi + CFI_CALL(Lp521_jscalarmul_alt_mul_p521) + movq 0x1f8(%rsp), %rdi + movq 0x118(%rsp), %rbx + movq 0x110(%rsp), %r15 + shldq $0x2, %r15, %rbx + movq 0x108(%rsp), %r14 + shldq $0x2, %r14, %r15 + movq 0x100(%rsp), %r13 + shldq $0x2, %r13, %r14 + movq 0xf8(%rsp), %r12 + shldq $0x2, %r12, %r13 + movq 0xf0(%rsp), %r11 + shldq $0x2, %r11, %r12 + movq 0xe8(%rsp), %r10 + shldq $0x2, %r10, %r11 + movq 0xe0(%rsp), %r9 + shldq $0x2, %r9, %r10 + movq 0xd8(%rsp), %r8 + shldq $0x2, %r8, %r9 + shlq $0x2, %r8 + movq 0x1f0(%rsp), %rcx + xorq $0x1ff, %rcx + movq 0x1b0(%rsp), %rax + notq %rax + addq %rax, %r8 + movq 0x1b8(%rsp), %rax + notq %rax + adcq %rax, %r9 + movq 0x1c0(%rsp), %rax + notq %rax + adcq %rax, %r10 + movq 0x1c8(%rsp), %rax + notq %rax + adcq %rax, %r11 + movq 0x1d0(%rsp), %rax + notq %rax + adcq %rax, %r12 + movq 0x1d8(%rsp), %rax + notq %rax + adcq %rax, %r13 + movq 0x1e0(%rsp), %rax + notq %rax + adcq %rax, %r14 + movq 0x1e8(%rsp), %rax + notq %rax + adcq %rax, %r15 + adcq %rcx, %rbx + movq %r9, %rax + andq %r10, %rax + andq %r11, %rax + andq %r12, %rax + andq %r13, %rax + andq %r14, %rax + andq %r15, %rax + movq %rbx, %rdx + shrq $0x9, %rdx + orq $0xfffffffffffffe00, %rbx + leaq 0x1(%rdx), %rcx + addq %r8, %rcx + movl $0x0, %ecx + adcq %rcx, %rax + movq %rbx, %rax + adcq %rcx, %rax + adcq %rdx, %r8 + movq %r8, (%rdi) + adcq %rcx, %r9 + movq %r9, 0x8(%rdi) + adcq %rcx, %r10 + movq %r10, 0x10(%rdi) + adcq %rcx, %r11 + movq %r11, 0x18(%rdi) + adcq %rcx, %r12 + movq %r12, 0x20(%rdi) + adcq %rcx, %r13 + movq %r13, 0x28(%rdi) + adcq %rcx, %r14 + movq %r14, 0x30(%rdi) + adcq %rcx, %r15 + movq %r15, 0x38(%rdi) + adcq %rcx, %rbx + andq $0x1ff, %rbx + movq %rbx, 0x40(%rdi) + movq 0x1f8(%rsp), %rdi + movq 0x160(%rsp), %rbx + xorq $0x1ff, %rbx + movq 0x158(%rsp), %r15 + notq %r15 + shldq $0x3, %r15, %rbx + movq 0x150(%rsp), %r14 + notq %r14 + shldq $0x3, %r14, %r15 + movq 0x148(%rsp), %r13 + notq %r13 + shldq $0x3, %r13, %r14 + movq 0x140(%rsp), %r12 + notq %r12 + shldq $0x3, %r12, %r13 + movq 0x138(%rsp), %r11 + notq %r11 + shldq $0x3, %r11, %r12 + movq 0x130(%rsp), %r10 + notq %r10 + shldq $0x3, %r10, %r11 + movq 0x128(%rsp), %r9 + notq %r9 + shldq $0x3, %r9, %r10 + movq 0x120(%rsp), %r8 + notq %r8 + shldq $0x3, %r8, %r9 + shlq $0x3, %r8 + movl $0x3, %ecx + movq 0x168(%rsp), %rax + mulq %rcx + addq %rax, %r8 + adcq %rdx, %r9 + sbbq %rbp, %rbp + movq 0x170(%rsp), %rax + mulq %rcx + subq %rbp, %rdx + addq %rax, %r9 + adcq %rdx, %r10 + sbbq %rbp, %rbp + movq 0x178(%rsp), %rax + mulq %rcx + subq %rbp, %rdx + addq %rax, %r10 + adcq %rdx, %r11 + sbbq %rbp, %rbp + movq 0x180(%rsp), %rax + mulq %rcx + subq %rbp, %rdx + addq %rax, %r11 + adcq %rdx, %r12 + sbbq %rbp, %rbp + movq 0x188(%rsp), %rax + mulq %rcx + subq %rbp, %rdx + addq %rax, %r12 + adcq %rdx, %r13 + sbbq %rbp, %rbp + movq 0x190(%rsp), %rax + mulq %rcx + subq %rbp, %rdx + addq %rax, %r13 + adcq %rdx, %r14 + sbbq %rbp, %rbp + movq 0x198(%rsp), %rax + mulq %rcx + subq %rbp, %rdx + addq %rax, %r14 + adcq %rdx, %r15 + sbbq %rbp, %rbp + movq 0x1a0(%rsp), %rax + mulq %rcx + subq %rbp, %rdx + addq %rax, %r15 + adcq %rdx, %rbx + movq 0x1a8(%rsp), %rax + imulq %rcx, %rax + addq %rax, %rbx + movq %r9, %rax + andq %r10, %rax + andq %r11, %rax + andq %r12, %rax + andq %r13, %rax + andq %r14, %rax + andq %r15, %rax + movq %rbx, %rdx + shrq $0x9, %rdx + orq $0xfffffffffffffe00, %rbx + leaq 0x1(%rdx), %rcx + addq %r8, %rcx + movl $0x0, %ecx + adcq %rcx, %rax + movq %rbx, %rax + adcq %rcx, %rax + adcq %rdx, %r8 + movq %r8, 0x48(%rdi) + adcq %rcx, %r9 + movq %r9, 0x50(%rdi) + adcq %rcx, %r10 + movq %r10, 0x58(%rdi) + adcq %rcx, %r11 + movq %r11, 0x60(%rdi) + adcq %rcx, %r12 + movq %r12, 0x68(%rdi) + adcq %rcx, %r13 + movq %r13, 0x70(%rdi) + adcq %rcx, %r14 + movq %r14, 0x78(%rdi) + adcq %rcx, %r15 + movq %r15, 0x80(%rdi) + adcq %rcx, %rbx + andq $0x1ff, %rbx + movq %rbx, 0x88(%rdi) + CFI_INC_RSP(520) + CFI_POP(%r15) + CFI_POP(%r14) + CFI_POP(%r13) + CFI_POP(%r12) + CFI_POP(%rbp) + CFI_POP(%rbx) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_alt_jdouble) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_alt_mul_p521) + +Lp521_jscalarmul_alt_mul_p521: + CFI_START + CFI_DEC_RSP(72) + movq %rdx, %rcx + movq (%rsi), %rax + mulq (%rcx) + movq %rax, (%rsp) + movq %rdx, %r9 + xorq %r10, %r10 + xorq %r11, %r11 + movq (%rsi), %rax + mulq 0x8(%rcx) + addq %rax, %r9 + adcq %rdx, %r10 + movq 0x8(%rsi), %rax + mulq (%rcx) + addq %rax, %r9 + adcq %rdx, %r10 + adcq %r11, %r11 + movq %r9, 0x8(%rsp) + xorq %r12, %r12 + movq (%rsi), %rax + mulq 0x10(%rcx) + addq %rax, %r10 + adcq %rdx, %r11 + adcq %r12, %r12 + movq 0x8(%rsi), %rax + mulq 0x8(%rcx) + addq %rax, %r10 + adcq %rdx, %r11 + adcq $0x0, %r12 + movq 0x10(%rsi), %rax + mulq (%rcx) + addq %rax, %r10 + adcq %rdx, %r11 + adcq $0x0, %r12 + movq %r10, 0x10(%rsp) + xorq %r13, %r13 + movq (%rsi), %rax + mulq 0x18(%rcx) + addq %rax, %r11 + adcq %rdx, %r12 + adcq %r13, %r13 + movq 0x8(%rsi), %rax + mulq 0x10(%rcx) + addq %rax, %r11 + adcq %rdx, %r12 + adcq $0x0, %r13 + movq 0x10(%rsi), %rax + mulq 0x8(%rcx) + addq %rax, %r11 + adcq %rdx, %r12 + adcq $0x0, %r13 + movq 0x18(%rsi), %rax + mulq (%rcx) + addq %rax, %r11 + adcq %rdx, %r12 + adcq $0x0, %r13 + movq %r11, 0x18(%rsp) + xorq %r14, %r14 + movq (%rsi), %rax + mulq 0x20(%rcx) + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x8(%rsi), %rax + mulq 0x18(%rcx) + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + movq 0x10(%rsi), %rax + mulq 0x10(%rcx) + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + movq 0x18(%rsi), %rax + mulq 0x8(%rcx) + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + movq 0x20(%rsi), %rax + mulq (%rcx) + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + movq %r12, 0x20(%rsp) + xorq %r15, %r15 + movq (%rsi), %rax + mulq 0x28(%rcx) + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x8(%rsi), %rax + mulq 0x20(%rcx) + addq %rax, %r13 + adcq %rdx, %r14 + adcq $0x0, %r15 + movq 0x10(%rsi), %rax + mulq 0x18(%rcx) + addq %rax, %r13 + adcq %rdx, %r14 + adcq $0x0, %r15 + movq 0x18(%rsi), %rax + mulq 0x10(%rcx) + addq %rax, %r13 + adcq %rdx, %r14 + adcq $0x0, %r15 + movq 0x20(%rsi), %rax + mulq 0x8(%rcx) + addq %rax, %r13 + adcq %rdx, %r14 + adcq $0x0, %r15 + movq 0x28(%rsi), %rax + mulq (%rcx) + addq %rax, %r13 + adcq %rdx, %r14 + adcq $0x0, %r15 + movq %r13, 0x28(%rsp) + xorq %r8, %r8 + movq (%rsi), %rax + mulq 0x30(%rcx) + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + movq 0x8(%rsi), %rax + mulq 0x28(%rcx) + addq %rax, %r14 + adcq %rdx, %r15 + adcq $0x0, %r8 + movq 0x10(%rsi), %rax + mulq 0x20(%rcx) + addq %rax, %r14 + adcq %rdx, %r15 + adcq $0x0, %r8 + movq 0x18(%rsi), %rax + mulq 0x18(%rcx) + addq %rax, %r14 + adcq %rdx, %r15 + adcq $0x0, %r8 + movq 0x20(%rsi), %rax + mulq 0x10(%rcx) + addq %rax, %r14 + adcq %rdx, %r15 + adcq $0x0, %r8 + movq 0x28(%rsi), %rax + mulq 0x8(%rcx) + addq %rax, %r14 + adcq %rdx, %r15 + adcq $0x0, %r8 + movq 0x30(%rsi), %rax + mulq (%rcx) + addq %rax, %r14 + adcq %rdx, %r15 + adcq $0x0, %r8 + movq %r14, 0x30(%rsp) + xorq %r9, %r9 + movq (%rsi), %rax + mulq 0x38(%rcx) + addq %rax, %r15 + adcq %rdx, %r8 + adcq %r9, %r9 + movq 0x8(%rsi), %rax + mulq 0x30(%rcx) + addq %rax, %r15 + adcq %rdx, %r8 + adcq $0x0, %r9 + movq 0x10(%rsi), %rax + mulq 0x28(%rcx) + addq %rax, %r15 + adcq %rdx, %r8 + adcq $0x0, %r9 + movq 0x18(%rsi), %rax + mulq 0x20(%rcx) + addq %rax, %r15 + adcq %rdx, %r8 + adcq $0x0, %r9 + movq 0x20(%rsi), %rax + mulq 0x18(%rcx) + addq %rax, %r15 + adcq %rdx, %r8 + adcq $0x0, %r9 + movq 0x28(%rsi), %rax + mulq 0x10(%rcx) + addq %rax, %r15 + adcq %rdx, %r8 + adcq $0x0, %r9 + movq 0x30(%rsi), %rax + mulq 0x8(%rcx) + addq %rax, %r15 + adcq %rdx, %r8 + adcq $0x0, %r9 + movq 0x38(%rsi), %rax + mulq (%rcx) + addq %rax, %r15 + adcq %rdx, %r8 + adcq $0x0, %r9 + movq %r15, 0x38(%rsp) + xorq %r10, %r10 + movq (%rsi), %rax + mulq 0x40(%rcx) + addq %rax, %r8 + adcq %rdx, %r9 + adcq %r10, %r10 + movq 0x8(%rsi), %rax + mulq 0x38(%rcx) + addq %rax, %r8 + adcq %rdx, %r9 + adcq $0x0, %r10 + movq 0x10(%rsi), %rax + mulq 0x30(%rcx) + addq %rax, %r8 + adcq %rdx, %r9 + adcq $0x0, %r10 + movq 0x18(%rsi), %rax + mulq 0x28(%rcx) + addq %rax, %r8 + adcq %rdx, %r9 + adcq $0x0, %r10 + movq 0x20(%rsi), %rax + mulq 0x20(%rcx) + addq %rax, %r8 + adcq %rdx, %r9 + adcq $0x0, %r10 + movq 0x28(%rsi), %rax + mulq 0x18(%rcx) + addq %rax, %r8 + adcq %rdx, %r9 + adcq $0x0, %r10 + movq 0x30(%rsi), %rax + mulq 0x10(%rcx) + addq %rax, %r8 + adcq %rdx, %r9 + adcq $0x0, %r10 + movq 0x38(%rsi), %rax + mulq 0x8(%rcx) + addq %rax, %r8 + adcq %rdx, %r9 + adcq $0x0, %r10 + movq 0x40(%rsi), %rax + mulq (%rcx) + addq %rax, %r8 + adcq %rdx, %r9 + adcq $0x0, %r10 + movq %r8, 0x40(%rsp) + xorq %r11, %r11 + movq 0x8(%rsi), %rax + mulq 0x40(%rcx) + addq %rax, %r9 + adcq %rdx, %r10 + adcq %r11, %r11 + movq 0x10(%rsi), %rax + mulq 0x38(%rcx) + addq %rax, %r9 + adcq %rdx, %r10 + adcq $0x0, %r11 + movq 0x18(%rsi), %rax + mulq 0x30(%rcx) + addq %rax, %r9 + adcq %rdx, %r10 + adcq $0x0, %r11 + movq 0x20(%rsi), %rax + mulq 0x28(%rcx) + addq %rax, %r9 + adcq %rdx, %r10 + adcq $0x0, %r11 + movq 0x28(%rsi), %rax + mulq 0x20(%rcx) + addq %rax, %r9 + adcq %rdx, %r10 + adcq $0x0, %r11 + movq 0x30(%rsi), %rax + mulq 0x18(%rcx) + addq %rax, %r9 + adcq %rdx, %r10 + adcq $0x0, %r11 + movq 0x38(%rsi), %rax + mulq 0x10(%rcx) + addq %rax, %r9 + adcq %rdx, %r10 + adcq $0x0, %r11 + movq 0x40(%rsi), %rax + mulq 0x8(%rcx) + addq %rax, %r9 + adcq %rdx, %r10 + adcq $0x0, %r11 + xorq %r12, %r12 + movq 0x10(%rsi), %rax + mulq 0x40(%rcx) + addq %rax, %r10 + adcq %rdx, %r11 + adcq %r12, %r12 + movq 0x18(%rsi), %rax + mulq 0x38(%rcx) + addq %rax, %r10 + adcq %rdx, %r11 + adcq $0x0, %r12 + movq 0x20(%rsi), %rax + mulq 0x30(%rcx) + addq %rax, %r10 + adcq %rdx, %r11 + adcq $0x0, %r12 + movq 0x28(%rsi), %rax + mulq 0x28(%rcx) + addq %rax, %r10 + adcq %rdx, %r11 + adcq $0x0, %r12 + movq 0x30(%rsi), %rax + mulq 0x20(%rcx) + addq %rax, %r10 + adcq %rdx, %r11 + adcq $0x0, %r12 + movq 0x38(%rsi), %rax + mulq 0x18(%rcx) + addq %rax, %r10 + adcq %rdx, %r11 + adcq $0x0, %r12 + movq 0x40(%rsi), %rax + mulq 0x10(%rcx) + addq %rax, %r10 + adcq %rdx, %r11 + adcq $0x0, %r12 + xorq %r13, %r13 + movq 0x18(%rsi), %rax + mulq 0x40(%rcx) + addq %rax, %r11 + adcq %rdx, %r12 + adcq %r13, %r13 + movq 0x20(%rsi), %rax + mulq 0x38(%rcx) + addq %rax, %r11 + adcq %rdx, %r12 + adcq $0x0, %r13 + movq 0x28(%rsi), %rax + mulq 0x30(%rcx) + addq %rax, %r11 + adcq %rdx, %r12 + adcq $0x0, %r13 + movq 0x30(%rsi), %rax + mulq 0x28(%rcx) + addq %rax, %r11 + adcq %rdx, %r12 + adcq $0x0, %r13 + movq 0x38(%rsi), %rax + mulq 0x20(%rcx) + addq %rax, %r11 + adcq %rdx, %r12 + adcq $0x0, %r13 + movq 0x40(%rsi), %rax + mulq 0x18(%rcx) + addq %rax, %r11 + adcq %rdx, %r12 + adcq $0x0, %r13 + xorq %r14, %r14 + movq 0x20(%rsi), %rax + mulq 0x40(%rcx) + addq %rax, %r12 + adcq %rdx, %r13 + adcq %r14, %r14 + movq 0x28(%rsi), %rax + mulq 0x38(%rcx) + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + movq 0x30(%rsi), %rax + mulq 0x30(%rcx) + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + movq 0x38(%rsi), %rax + mulq 0x28(%rcx) + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + movq 0x40(%rsi), %rax + mulq 0x20(%rcx) + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + xorq %r15, %r15 + movq 0x28(%rsi), %rax + mulq 0x40(%rcx) + addq %rax, %r13 + adcq %rdx, %r14 + adcq %r15, %r15 + movq 0x30(%rsi), %rax + mulq 0x38(%rcx) + addq %rax, %r13 + adcq %rdx, %r14 + adcq $0x0, %r15 + movq 0x38(%rsi), %rax + mulq 0x30(%rcx) + addq %rax, %r13 + adcq %rdx, %r14 + adcq $0x0, %r15 + movq 0x40(%rsi), %rax + mulq 0x28(%rcx) + addq %rax, %r13 + adcq %rdx, %r14 + adcq $0x0, %r15 + xorq %r8, %r8 + movq 0x30(%rsi), %rax + mulq 0x40(%rcx) + addq %rax, %r14 + adcq %rdx, %r15 + adcq %r8, %r8 + movq 0x38(%rsi), %rax + mulq 0x38(%rcx) + addq %rax, %r14 + adcq %rdx, %r15 + adcq $0x0, %r8 + movq 0x40(%rsi), %rax + mulq 0x30(%rcx) + addq %rax, %r14 + adcq %rdx, %r15 + adcq $0x0, %r8 + movq 0x38(%rsi), %rax + mulq 0x40(%rcx) + addq %rax, %r15 + adcq %rdx, %r8 + movq 0x40(%rsi), %rax + mulq 0x38(%rcx) + addq %rax, %r15 + adcq %rdx, %r8 + movq 0x40(%rsi), %rax + imulq 0x40(%rcx), %rax + addq %r8, %rax + movq 0x40(%rsp), %r8 + movq %r8, %rdx + andq $0x1ff, %rdx + shrdq $0x9, %r9, %r8 + shrdq $0x9, %r10, %r9 + shrdq $0x9, %r11, %r10 + shrdq $0x9, %r12, %r11 + shrdq $0x9, %r13, %r12 + shrdq $0x9, %r14, %r13 + shrdq $0x9, %r15, %r14 + shrdq $0x9, %rax, %r15 + shrq $0x9, %rax + addq %rax, %rdx + stc + adcq (%rsp), %r8 + adcq 0x8(%rsp), %r9 + adcq 0x10(%rsp), %r10 + adcq 0x18(%rsp), %r11 + adcq 0x20(%rsp), %r12 + adcq 0x28(%rsp), %r13 + adcq 0x30(%rsp), %r14 + adcq 0x38(%rsp), %r15 + adcq $0xfffffffffffffe00, %rdx + cmc + sbbq $0x0, %r8 + movq %r8, (%rdi) + sbbq $0x0, %r9 + movq %r9, 0x8(%rdi) + sbbq $0x0, %r10 + movq %r10, 0x10(%rdi) + sbbq $0x0, %r11 + movq %r11, 0x18(%rdi) + sbbq $0x0, %r12 + movq %r12, 0x20(%rdi) + sbbq $0x0, %r13 + movq %r13, 0x28(%rdi) + sbbq $0x0, %r14 + movq %r14, 0x30(%rdi) + sbbq $0x0, %r15 + movq %r15, 0x38(%rdi) + sbbq $0x0, %rdx + andq $0x1ff, %rdx + movq %rdx, 0x40(%rdi) + CFI_INC_RSP(72) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_alt_mul_p521) + +S2N_BN_FUNCTION_TYPE_DIRECTIVE(Lp521_jscalarmul_alt_sqr_p521) + +Lp521_jscalarmul_alt_sqr_p521: + CFI_START + CFI_DEC_RSP(72) + movq (%rsi), %rax + mulq %rax + movq %rax, (%rsp) + movq %rdx, %r9 + xorq %r10, %r10 + xorq %r11, %r11 + movq (%rsi), %rax + mulq 0x8(%rsi) + addq %rax, %rax + adcq %rdx, %rdx + adcq $0x0, %r11 + addq %rax, %r9 + adcq %rdx, %r10 + adcq $0x0, %r11 + movq %r9, 0x8(%rsp) + xorq %r12, %r12 + movq 0x8(%rsi), %rax + mulq %rax + addq %rax, %r10 + adcq %rdx, %r11 + adcq $0x0, %r12 + movq (%rsi), %rax + mulq 0x10(%rsi) + addq %rax, %rax + adcq %rdx, %rdx + adcq $0x0, %r12 + addq %rax, %r10 + adcq %rdx, %r11 + adcq $0x0, %r12 + movq %r10, 0x10(%rsp) + movq (%rsi), %rax + mulq 0x18(%rsi) + xorq %r13, %r13 + movq %rax, %rbx + movq %rdx, %rcx + movq 0x8(%rsi), %rax + mulq 0x10(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r13 + addq %rbx, %rbx + adcq %rcx, %rcx + adcq %r13, %r13 + addq %rbx, %r11 + adcq %rcx, %r12 + adcq $0x0, %r13 + movq %r11, 0x18(%rsp) + movq (%rsi), %rax + mulq 0x20(%rsi) + xorq %r14, %r14 + movq %rax, %rbx + movq %rdx, %rcx + movq 0x8(%rsi), %rax + mulq 0x18(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r14 + addq %rbx, %rbx + adcq %rcx, %rcx + adcq %r14, %r14 + addq %rbx, %r12 + adcq %rcx, %r13 + adcq $0x0, %r14 + movq 0x10(%rsi), %rax + mulq %rax + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + movq %r12, 0x20(%rsp) + movq (%rsi), %rax + mulq 0x28(%rsi) + xorq %r15, %r15 + movq %rax, %rbx + movq %rdx, %rcx + movq 0x8(%rsi), %rax + mulq 0x20(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r15 + movq 0x10(%rsi), %rax + mulq 0x18(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r15 + addq %rbx, %rbx + adcq %rcx, %rcx + adcq %r15, %r15 + addq %rbx, %r13 + adcq %rcx, %r14 + adcq $0x0, %r15 + movq %r13, 0x28(%rsp) + movq (%rsi), %rax + mulq 0x30(%rsi) + xorq %r8, %r8 + movq %rax, %rbx + movq %rdx, %rcx + movq 0x8(%rsi), %rax + mulq 0x28(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r8 + movq 0x10(%rsi), %rax + mulq 0x20(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r8 + addq %rbx, %rbx + adcq %rcx, %rcx + adcq %r8, %r8 + addq %rbx, %r14 + adcq %rcx, %r15 + adcq $0x0, %r8 + movq 0x18(%rsi), %rax + mulq %rax + addq %rax, %r14 + adcq %rdx, %r15 + adcq $0x0, %r8 + movq %r14, 0x30(%rsp) + movq (%rsi), %rax + mulq 0x38(%rsi) + xorq %r9, %r9 + movq %rax, %rbx + movq %rdx, %rcx + movq 0x8(%rsi), %rax + mulq 0x30(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r9 + movq 0x10(%rsi), %rax + mulq 0x28(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r9 + movq 0x18(%rsi), %rax + mulq 0x20(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r9 + addq %rbx, %rbx + adcq %rcx, %rcx + adcq %r9, %r9 + addq %rbx, %r15 + adcq %rcx, %r8 + adcq $0x0, %r9 + movq %r15, 0x38(%rsp) + movq (%rsi), %rax + mulq 0x40(%rsi) + xorq %r10, %r10 + movq %rax, %rbx + movq %rdx, %rcx + movq 0x8(%rsi), %rax + mulq 0x38(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r10 + movq 0x10(%rsi), %rax + mulq 0x30(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r10 + movq 0x18(%rsi), %rax + mulq 0x28(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r10 + addq %rbx, %rbx + adcq %rcx, %rcx + adcq %r10, %r10 + addq %rbx, %r8 + adcq %rcx, %r9 + adcq $0x0, %r10 + movq 0x20(%rsi), %rax + mulq %rax + addq %rax, %r8 + adcq %rdx, %r9 + adcq $0x0, %r10 + movq %r8, 0x40(%rsp) + movq 0x8(%rsi), %rax + mulq 0x40(%rsi) + xorq %r11, %r11 + movq %rax, %rbx + movq %rdx, %rcx + movq 0x10(%rsi), %rax + mulq 0x38(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r11 + movq 0x18(%rsi), %rax + mulq 0x30(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r11 + movq 0x20(%rsi), %rax + mulq 0x28(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r11 + addq %rbx, %rbx + adcq %rcx, %rcx + adcq %r11, %r11 + addq %rbx, %r9 + adcq %rcx, %r10 + adcq $0x0, %r11 + movq 0x10(%rsi), %rax + mulq 0x40(%rsi) + xorq %r12, %r12 + movq %rax, %rbx + movq %rdx, %rcx + movq 0x18(%rsi), %rax + mulq 0x38(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r12 + movq 0x20(%rsi), %rax + mulq 0x30(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r12 + addq %rbx, %rbx + adcq %rcx, %rcx + adcq %r12, %r12 + addq %rbx, %r10 + adcq %rcx, %r11 + adcq $0x0, %r12 + movq 0x28(%rsi), %rax + mulq %rax + addq %rax, %r10 + adcq %rdx, %r11 + adcq $0x0, %r12 + movq 0x18(%rsi), %rax + mulq 0x40(%rsi) + xorq %r13, %r13 + movq %rax, %rbx + movq %rdx, %rcx + movq 0x20(%rsi), %rax + mulq 0x38(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r13 + movq 0x28(%rsi), %rax + mulq 0x30(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r13 + addq %rbx, %rbx + adcq %rcx, %rcx + adcq %r13, %r13 + addq %rbx, %r11 + adcq %rcx, %r12 + adcq $0x0, %r13 + movq 0x20(%rsi), %rax + mulq 0x40(%rsi) + xorq %r14, %r14 + movq %rax, %rbx + movq %rdx, %rcx + movq 0x28(%rsi), %rax + mulq 0x38(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r14 + addq %rbx, %rbx + adcq %rcx, %rcx + adcq %r14, %r14 + addq %rbx, %r12 + adcq %rcx, %r13 + adcq $0x0, %r14 + movq 0x30(%rsi), %rax + mulq %rax + addq %rax, %r12 + adcq %rdx, %r13 + adcq $0x0, %r14 + movq 0x28(%rsi), %rax + mulq 0x40(%rsi) + xorq %r15, %r15 + movq %rax, %rbx + movq %rdx, %rcx + movq 0x30(%rsi), %rax + mulq 0x38(%rsi) + addq %rax, %rbx + adcq %rdx, %rcx + adcq $0x0, %r15 + addq %rbx, %rbx + adcq %rcx, %rcx + adcq %r15, %r15 + addq %rbx, %r13 + adcq %rcx, %r14 + adcq $0x0, %r15 + xorq %r8, %r8 + movq 0x38(%rsi), %rax + mulq %rax + addq %rax, %r14 + adcq %rdx, %r15 + adcq $0x0, %r8 + movq 0x30(%rsi), %rax + mulq 0x40(%rsi) + addq %rax, %rax + adcq %rdx, %rdx + adcq $0x0, %r8 + addq %rax, %r14 + adcq %rdx, %r15 + adcq $0x0, %r8 + movq 0x38(%rsi), %rax + mulq 0x40(%rsi) + addq %rax, %rax + adcq %rdx, %rdx + addq %rax, %r15 + adcq %rdx, %r8 + movq 0x40(%rsi), %rax + imulq %rax, %rax + addq %r8, %rax + movq 0x40(%rsp), %r8 + movq %r8, %rdx + andq $0x1ff, %rdx + shrdq $0x9, %r9, %r8 + shrdq $0x9, %r10, %r9 + shrdq $0x9, %r11, %r10 + shrdq $0x9, %r12, %r11 + shrdq $0x9, %r13, %r12 + shrdq $0x9, %r14, %r13 + shrdq $0x9, %r15, %r14 + shrdq $0x9, %rax, %r15 + shrq $0x9, %rax + addq %rax, %rdx + stc + adcq (%rsp), %r8 + adcq 0x8(%rsp), %r9 + adcq 0x10(%rsp), %r10 + adcq 0x18(%rsp), %r11 + adcq 0x20(%rsp), %r12 + adcq 0x28(%rsp), %r13 + adcq 0x30(%rsp), %r14 + adcq 0x38(%rsp), %r15 + adcq $0xfffffffffffffe00, %rdx + cmc + sbbq $0x0, %r8 + movq %r8, (%rdi) + sbbq $0x0, %r9 + movq %r9, 0x8(%rdi) + sbbq $0x0, %r10 + movq %r10, 0x10(%rdi) + sbbq $0x0, %r11 + movq %r11, 0x18(%rdi) + sbbq $0x0, %r12 + movq %r12, 0x20(%rdi) + sbbq $0x0, %r13 + movq %r13, 0x28(%rdi) + sbbq $0x0, %r14 + movq %r14, 0x30(%rdi) + sbbq $0x0, %r15 + movq %r15, 0x38(%rdi) + sbbq $0x0, %rdx + andq $0x1ff, %rdx + movq %rdx, 0x40(%rdi) + CFI_INC_RSP(72) + CFI_RET + +S2N_BN_SIZE_DIRECTIVE(Lp521_jscalarmul_alt_sqr_p521) + +#if defined(__linux__) && defined(__ELF__) +.section .note.GNU-stack, "", %progbits +#endif diff --git a/cbits/sha1_armv8.c b/cbits/sha1_armv8.c new file mode 100644 --- /dev/null +++ b/cbits/sha1_armv8.c @@ -0,0 +1,169 @@ +/* + * SHA-1 using the ARMv8-A cryptographic extensions. + * + * crypton_sha1.c computes the compression function a round at a time in plain + * C. AArch64 has instructions for it -- SHA1C, SHA1P, SHA1M, SHA1H, SHA1SU0 + * and SHA1SU1 -- which do four rounds at a time and most of the message + * schedule alongside. They come with the SHA-256 ones this tree already uses, + * under the same optional feature, so anything that has those has these. + * + * SHA-1 is not a hash to choose today, but it is still what a number of + * protocols and file formats ask for. + */ + +#include +#include +#if defined(__linux__) +#include +#include +#endif + +/* + * The instructions are an extension, so a translation unit compiled for + * baseline ARMv8-A may not use them; see sha256_armv8.c for the whole of that + * argument. + */ +#include "crypton_armv8_target.h" + +/* + * A group of four rounds, and the schedule that goes with it. + * + * SHA1C, SHA1P and SHA1M each do four rounds with one of the three round + * functions -- choose, parity and majority -- taking the four state words in + * a register, E in a general one, and the four message words with their round + * constant already added. SHA1H is the rotation of A by thirty that carries + * E from one group to the next. + * + * The schedule is the exclusive or of four earlier words rotated left by one. + * SHA1SU0 does the three terms that reach furthest back and SHA1SU1 the last + * one, together with the rotation and the dependency inside the group. + */ +#define GROUP(f, ecur, enext, wk_cur, wk_next, kk, w0, w1, w2, w3) \ + do { \ + enext = vsha1h_u32(vgetq_lane_u32(abcd, 0)); \ + abcd = f(abcd, ecur, wk_cur); \ + wk_next = vaddq_u32(w2, kk); \ + w0 = vsha1su0q_u32(w0, w1, w2); \ + w3 = vsha1su1q_u32(w3, w2); \ + } while (0) + +/* + * One 64-byte block. `state` is the five words of chaining value in host + * order, `buf` the block as it arrived, which SHA-1 reads big-endian. + */ +CRYPTON_TARGET_ARMV8_CRYPTO +void crypton_sha1_armv8_do_chunks(uint32_t state[5], const uint8_t *data, + uint32_t blocks) +{ + const uint32x4_t k0 = vdupq_n_u32(0x5a827999); + const uint32x4_t k1 = vdupq_n_u32(0x6ed9eba1); + const uint32x4_t k2 = vdupq_n_u32(0x8f1bbcdc); + const uint32x4_t k3 = vdupq_n_u32(0xca62c1d6); + uint32x4_t abcd, abcd_prev; + uint32x4_t m0, m1, m2, m3; + uint32x4_t wk0, wk1; + uint32_t e0, e1, e_prev; + + abcd = vld1q_u32(state); + e0 = state[4]; + + for (; blocks > 0; blocks--, data += 64) { + const uint8_t *buf = data; + + abcd_prev = abcd; + e_prev = e0; + + m0 = vreinterpretq_u32_u8(vrev32q_u8(vld1q_u8(buf))); + m1 = vreinterpretq_u32_u8(vrev32q_u8(vld1q_u8(buf + 16))); + m2 = vreinterpretq_u32_u8(vrev32q_u8(vld1q_u8(buf + 32))); + m3 = vreinterpretq_u32_u8(vrev32q_u8(vld1q_u8(buf + 48))); + + wk0 = vaddq_u32(m0, k0); + wk1 = vaddq_u32(m1, k0); + + /* rounds 0 to 15, where the schedule has less to do each group until + * it is running a whole group ahead */ + e1 = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1cq_u32(abcd, e0, wk0); + wk0 = vaddq_u32(m2, k0); + m0 = vsha1su0q_u32(m0, m1, m2); + + e0 = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1cq_u32(abcd, e1, wk1); + wk1 = vaddq_u32(m3, k0); + m1 = vsha1su0q_u32(m1, m2, m3); + m0 = vsha1su1q_u32(m0, m3); + + e1 = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1cq_u32(abcd, e0, wk0); + wk0 = vaddq_u32(m0, k0); + m2 = vsha1su0q_u32(m2, m3, m0); + m1 = vsha1su1q_u32(m1, m0); + + e0 = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1cq_u32(abcd, e1, wk1); + wk1 = vaddq_u32(m1, k1); + m3 = vsha1su0q_u32(m3, m0, m1); + m2 = vsha1su1q_u32(m2, m1); + + /* rounds 16 to 19, still the choose function, and then twenty of each + * of the others; the message registers come back to the same roles + * every fourth group */ + GROUP(vsha1cq_u32, e0, e1, wk0, wk0, k1, m0, m1, m2, m3); + GROUP(vsha1pq_u32, e1, e0, wk1, wk1, k1, m1, m2, m3, m0); + GROUP(vsha1pq_u32, e0, e1, wk0, wk0, k1, m2, m3, m0, m1); + GROUP(vsha1pq_u32, e1, e0, wk1, wk1, k1, m3, m0, m1, m2); + GROUP(vsha1pq_u32, e0, e1, wk0, wk0, k2, m0, m1, m2, m3); + GROUP(vsha1pq_u32, e1, e0, wk1, wk1, k2, m1, m2, m3, m0); + GROUP(vsha1mq_u32, e0, e1, wk0, wk0, k2, m2, m3, m0, m1); + GROUP(vsha1mq_u32, e1, e0, wk1, wk1, k2, m3, m0, m1, m2); + GROUP(vsha1mq_u32, e0, e1, wk0, wk0, k2, m0, m1, m2, m3); + GROUP(vsha1mq_u32, e1, e0, wk1, wk1, k3, m1, m2, m3, m0); + GROUP(vsha1mq_u32, e0, e1, wk0, wk0, k3, m2, m3, m0, m1); + GROUP(vsha1pq_u32, e1, e0, wk1, wk1, k3, m3, m0, m1, m2); + + /* rounds 64 to 79, where the schedule runs out a piece at a time */ + e1 = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1pq_u32(abcd, e0, wk0); + wk0 = vaddq_u32(m2, k3); + m3 = vsha1su1q_u32(m3, m2); + + e0 = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1pq_u32(abcd, e1, wk1); + wk1 = vaddq_u32(m3, k3); + + e1 = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1pq_u32(abcd, e0, wk0); + + e0 = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1pq_u32(abcd, e1, wk1); + + abcd = vaddq_u32(abcd, abcd_prev); + e0 += e_prev; + } + + vst1q_u32(state, abcd); + state[4] = e0; +} + +/* the one-block form, for the partial block a message ends with */ +void crypton_sha1_armv8_do_chunk(uint32_t state[5], const uint8_t buf[64]) +{ + crypton_sha1_armv8_do_chunks(state, (const uint8_t *) buf, 1); +} + +/* + * The SHA-1 instructions are optional in ARMv8.0, and arrive with the SHA-256 + * ones. They are always there on Apple silicon; elsewhere the kernel reports + * them. + */ +int crypton_sha1_armv8_available(void) +{ +#if defined(__APPLE__) + return 1; +#elif defined(__linux__) + return (getauxval(AT_HWCAP) & HWCAP_SHA1) != 0; +#else + return 0; +#endif +} diff --git a/cbits/sha1_x86.c b/cbits/sha1_x86.c new file mode 100644 --- /dev/null +++ b/cbits/sha1_x86.c @@ -0,0 +1,174 @@ +/* + * SHA-1 using the Intel SHA extensions. + * + * crypton_sha1.c computes the compression function a round at a time in plain + * C. The same extension that carries SHA256RNDS2 carries four instructions + * for this one -- SHA1RNDS4, SHA1NEXTE, SHA1MSG1 and SHA1MSG2 -- which do four + * rounds at a time and most of the message schedule alongside. + * + * SHA-1 is not a hash to choose today, but it is still what a number of + * protocols and file formats ask for, and the instructions are already there + * on any processor that has the SHA-256 ones. + */ + +#include +#include +#include "crypton_cpu.h" + +/* + * The instructions are an extension, so a translation unit compiled for the + * x86-64 baseline may not use them; see cbits/sha256_x86.c for the whole of + * that argument. SSE4.1 and SSSE3 come along for the same reasons there. + */ +#ifdef WITH_TARGET_ATTRIBUTES +#define TARGET_X86_SHA __attribute__((target("sha,sse4.1,ssse3"))) +#else +#define TARGET_X86_SHA +#endif + +/* + * A group of four rounds, and the schedule that goes with it. + * + * SHA1RNDS4 takes the four state words in one register -- A in the top lane, + * which is why both the state and each block are loaded reversed -- and the + * four message words with E already added into the first, which is what + * SHA1NEXTE produces from the state as it stood four rounds ago. The round + * function and constant come from the immediate: 0 for rounds 0 to 19, then + * one per twenty. + * + * The schedule is the exclusive or of four earlier words rotated left by one. + * SHA1MSG1 does the part that reaches furthest back, the exclusive or with + * the word eight before is an ordinary one, and SHA1MSG2 does the last part + * together with the rotation and the dependency inside the group of four. + */ +#define GROUP(imm, ecur, enext, w0, w1, w2, w3) \ + do { \ + ecur = _mm_sha1nexte_epu32(ecur, w0); \ + enext = abcd; \ + w1 = _mm_sha1msg2_epu32(w1, w0); \ + abcd = _mm_sha1rnds4_epu32(abcd, ecur, imm); \ + w3 = _mm_sha1msg1_epu32(w3, w0); \ + w2 = _mm_xor_si128(w2, w0); \ + } while (0) + +/* the same without the part of the schedule that has run out */ +#define GROUP_NOMSG1(imm, ecur, enext, w0, w1, w2) \ + do { \ + ecur = _mm_sha1nexte_epu32(ecur, w0); \ + enext = abcd; \ + w1 = _mm_sha1msg2_epu32(w1, w0); \ + abcd = _mm_sha1rnds4_epu32(abcd, ecur, imm); \ + w2 = _mm_xor_si128(w2, w0); \ + } while (0) + +#define GROUP_MSG2(imm, ecur, enext, w0, w1) \ + do { \ + ecur = _mm_sha1nexte_epu32(ecur, w0); \ + enext = abcd; \ + w1 = _mm_sha1msg2_epu32(w1, w0); \ + abcd = _mm_sha1rnds4_epu32(abcd, ecur, imm); \ + } while (0) + +#define GROUP_ROUNDS(imm, ecur, enext, w0) \ + do { \ + ecur = _mm_sha1nexte_epu32(ecur, w0); \ + enext = abcd; \ + abcd = _mm_sha1rnds4_epu32(abcd, ecur, imm); \ + } while (0) + +/* + * Any number of 64-byte blocks. `state` is the five words of chaining + * value in host order, `data` the blocks as they arrived, which SHA-1 + * reads big-endian. + * + * The state stays in registers from one block to the next. Taking them a + * block at a time, which is what this did, spends a load, a store and two + * shuffles either side of every block putting state back where it already + * was, and against the hundred-odd cycles a block costs with these + * instructions that is worth having. + */ +TARGET_X86_SHA +void crypton_sha1_x86_do_chunks(uint32_t state[5], const uint8_t *data, + uint32_t blocks) +{ + /* the whole register reversed, which byte-swaps each word and puts + * the first of them in the top lane */ + const __m128i bswap = _mm_setr_epi8(15, 14, 13, 12, 11, 10, 9, 8, + 7, 6, 5, 4, 3, 2, 1, 0); + __m128i abcd, e0, e1, abcd_prev, e_prev; + __m128i m0, m1, m2, m3; + + abcd = _mm_shuffle_epi32(_mm_loadu_si128((const __m128i *) state), 0x1b); + e0 = _mm_set_epi32((int) state[4], 0, 0, 0); + + for (; blocks > 0; blocks--, data += 64) { + const uint32_t *buf = (const uint32_t *) data; + + abcd_prev = abcd; + e_prev = e0; + + m0 = _mm_shuffle_epi8(_mm_loadu_si128((const __m128i *) buf), bswap); + m1 = _mm_shuffle_epi8(_mm_loadu_si128((const __m128i *) (buf + 4)), bswap); + m2 = _mm_shuffle_epi8(_mm_loadu_si128((const __m128i *) (buf + 8)), bswap); + m3 = _mm_shuffle_epi8(_mm_loadu_si128((const __m128i *) (buf + 12)), bswap); + + /* rounds 0 to 15, where the schedule has nothing to extend yet: the + * first group takes E by an ordinary addition rather than SHA1NEXTE, + * there being no state from four rounds ago */ + e0 = _mm_add_epi32(e0, m0); + e1 = abcd; + abcd = _mm_sha1rnds4_epu32(abcd, e0, 0); + + e1 = _mm_sha1nexte_epu32(e1, m1); + e0 = abcd; + abcd = _mm_sha1rnds4_epu32(abcd, e1, 0); + m0 = _mm_sha1msg1_epu32(m0, m1); + + e0 = _mm_sha1nexte_epu32(e0, m2); + e1 = abcd; + abcd = _mm_sha1rnds4_epu32(abcd, e0, 0); + m1 = _mm_sha1msg1_epu32(m1, m2); + m0 = _mm_xor_si128(m0, m2); + + GROUP(0, e1, e0, m3, m0, m1, m2); + + /* rounds 16 to 63, where every group both hashes and schedules; the + * four message registers come back to the same roles every fourth + * group, and the round function changes every twentieth round */ + GROUP(0, e0, e1, m0, m1, m2, m3); + GROUP(1, e1, e0, m1, m2, m3, m0); + GROUP(1, e0, e1, m2, m3, m0, m1); + GROUP(1, e1, e0, m3, m0, m1, m2); + GROUP(1, e0, e1, m0, m1, m2, m3); + GROUP(1, e1, e0, m1, m2, m3, m0); + GROUP(2, e0, e1, m2, m3, m0, m1); + GROUP(2, e1, e0, m3, m0, m1, m2); + GROUP(2, e0, e1, m0, m1, m2, m3); + GROUP(2, e1, e0, m1, m2, m3, m0); + GROUP(2, e0, e1, m2, m3, m0, m1); + GROUP(3, e1, e0, m3, m0, m1, m2); + + /* rounds 64 to 79, where the schedule runs out a piece at a time. The + * first of these still extends: the part of the last four words that + * reaches sixteen back is taken here, three groups before they are + * finished */ + GROUP(3, e0, e1, m0, m1, m2, m3); + GROUP_NOMSG1(3, e1, e0, m1, m2, m3); + GROUP_MSG2(3, e0, e1, m2, m3); + GROUP_ROUNDS(3, e1, e0, m3); + + /* and the chaining value, E through the same instruction that would + * have carried it into a fifth round */ + e0 = _mm_sha1nexte_epu32(e0, e_prev); + abcd = _mm_add_epi32(abcd, abcd_prev); + } + + _mm_storeu_si128((__m128i *) state, _mm_shuffle_epi32(abcd, 0x1b)); + state[4] = (uint32_t) _mm_extract_epi32(e0, 3); +} + +/* the one-block form, for the partial block a message ends with */ +void crypton_sha1_x86_do_chunk(uint32_t state[5], const uint8_t buf[64]) +{ + crypton_sha1_x86_do_chunks(state, (const uint8_t *) buf, 1); +} diff --git a/cbits/sha256_armv8.c b/cbits/sha256_armv8.c new file mode 100644 --- /dev/null +++ b/cbits/sha256_armv8.c @@ -0,0 +1,141 @@ +/* + * SHA-256 using the ARMv8-A cryptographic extensions. + * + * crypton_sha256.c computes the compression function a round at a time in + * plain C. AArch64 has instructions for it -- SHA256H, SHA256H2, SHA256SU0 + * and SHA256SU1 -- which do four rounds at a time and compute the message + * schedule alongside. This provides that version; crypton_sha256.c picks + * between the two at runtime. + * + * SHA-224 shares the compression function, so it comes along for free. + */ + +#include +#include +#if defined(__linux__) +#include +#include +#endif + +/* + * The SHA-2 instructions are an extension, so a translation unit compiled for + * baseline ARMv8-A may not use them. Mark the function that does, the way + * cbits/aes/x86ni.h marks its x86 counterparts, rather than raising + * -march for every file in the library: the flag use_target_attributes picks + * between the two, and with it set -- which is the default -- nothing else + * enables the extensions, so without these the file does not compile at all on + * a toolchain whose baseline lacks them. Apple's does not lack them, which is + * why only Linux noticed. + * + * "+crypto" rather than "crypto": GCC rejects the latter. + */ +#include "crypton_armv8_target.h" + +static const uint32_t K[64] = { + 0x428a2f98, 0x71374491, 0xb5c0fbcf, 0xe9b5dba5, + 0x3956c25b, 0x59f111f1, 0x923f82a4, 0xab1c5ed5, + 0xd807aa98, 0x12835b01, 0x243185be, 0x550c7dc3, + 0x72be5d74, 0x80deb1fe, 0x9bdc06a7, 0xc19bf174, + 0xe49b69c1, 0xefbe4786, 0x0fc19dc6, 0x240ca1cc, + 0x2de92c6f, 0x4a7484aa, 0x5cb0a9dc, 0x76f988da, + 0x983e5152, 0xa831c66d, 0xb00327c8, 0xbf597fc7, + 0xc6e00bf3, 0xd5a79147, 0x06ca6351, 0x14292967, + 0x27b70a85, 0x2e1b2138, 0x4d2c6dfc, 0x53380d13, + 0x650a7354, 0x766a0abb, 0x81c2c92e, 0x92722c85, + 0xa2bfe8a1, 0xa81a664b, 0xc24b8b70, 0xc76c51a3, + 0xd192e819, 0xd6990624, 0xf40e3585, 0x106aa070, + 0x19a4c116, 0x1e376c08, 0x2748774c, 0x34b0bcb5, + 0x391c0cb3, 0x4ed8aa4a, 0x5b9cca4f, 0x682e6ff3, + 0x748f82ee, 0x78a5636f, 0x84c87814, 0x8cc70208, + 0x90befffa, 0xa4506ceb, 0xbef9a3f7, 0xc67178f2, +}; + +/* + * One 64-byte block. `state` is the eight words of chaining value in host + * order, `buf` the block as it arrived, which SHA-256 reads big-endian. + */ +CRYPTON_TARGET_ARMV8_CRYPTO +void crypton_sha256_armv8_do_chunk(uint32_t state[8], const uint8_t buf[64]) +{ + uint32x4_t abcd, efgh, abcd_prev, efgh_prev, abcd_save, tmp; + uint32x4_t m0, m1, m2, m3; + int i; + + abcd_prev = abcd = vld1q_u32(state); + efgh_prev = efgh = vld1q_u32(state + 4); + + m0 = vreinterpretq_u32_u8(vrev32q_u8(vld1q_u8(buf))); + m1 = vreinterpretq_u32_u8(vrev32q_u8(vld1q_u8(buf + 16))); + m2 = vreinterpretq_u32_u8(vrev32q_u8(vld1q_u8(buf + 32))); + m3 = vreinterpretq_u32_u8(vrev32q_u8(vld1q_u8(buf + 48))); + + /* twelve groups of four rounds that also extend the schedule ... */ + for (i = 0; i < 48; i += 16) { + uint32x4_t n0, n1, n2, n3; + + n0 = vsha256su1q_u32(vsha256su0q_u32(m0, m1), m2, m3); + tmp = vaddq_u32(m0, vld1q_u32(&K[i])); + abcd_save = abcd; + abcd = vsha256hq_u32(abcd, efgh, tmp); + efgh = vsha256h2q_u32(efgh, abcd_save, tmp); + + n1 = vsha256su1q_u32(vsha256su0q_u32(m1, m2), m3, n0); + tmp = vaddq_u32(m1, vld1q_u32(&K[i + 4])); + abcd_save = abcd; + abcd = vsha256hq_u32(abcd, efgh, tmp); + efgh = vsha256h2q_u32(efgh, abcd_save, tmp); + + n2 = vsha256su1q_u32(vsha256su0q_u32(m2, m3), n0, n1); + tmp = vaddq_u32(m2, vld1q_u32(&K[i + 8])); + abcd_save = abcd; + abcd = vsha256hq_u32(abcd, efgh, tmp); + efgh = vsha256h2q_u32(efgh, abcd_save, tmp); + + n3 = vsha256su1q_u32(vsha256su0q_u32(m3, n0), n1, n2); + tmp = vaddq_u32(m3, vld1q_u32(&K[i + 12])); + abcd_save = abcd; + abcd = vsha256hq_u32(abcd, efgh, tmp); + efgh = vsha256h2q_u32(efgh, abcd_save, tmp); + + m0 = n0; m1 = n1; m2 = n2; m3 = n3; + } + + /* ... and the last four, where there is no more schedule to extend */ + tmp = vaddq_u32(m0, vld1q_u32(&K[48])); + abcd_save = abcd; + abcd = vsha256hq_u32(abcd, efgh, tmp); + efgh = vsha256h2q_u32(efgh, abcd_save, tmp); + + tmp = vaddq_u32(m1, vld1q_u32(&K[52])); + abcd_save = abcd; + abcd = vsha256hq_u32(abcd, efgh, tmp); + efgh = vsha256h2q_u32(efgh, abcd_save, tmp); + + tmp = vaddq_u32(m2, vld1q_u32(&K[56])); + abcd_save = abcd; + abcd = vsha256hq_u32(abcd, efgh, tmp); + efgh = vsha256h2q_u32(efgh, abcd_save, tmp); + + tmp = vaddq_u32(m3, vld1q_u32(&K[60])); + abcd_save = abcd; + abcd = vsha256hq_u32(abcd, efgh, tmp); + efgh = vsha256h2q_u32(efgh, abcd_save, tmp); + + vst1q_u32(state, vaddq_u32(abcd, abcd_prev)); + vst1q_u32(state + 4, vaddq_u32(efgh, efgh_prev)); +} + +/* + * The SHA-2 instructions are optional in ARMv8.0. They are always there on + * Apple silicon; elsewhere the kernel reports them. + */ +int crypton_sha256_armv8_available(void) +{ +#if defined(__APPLE__) + return 1; +#elif defined(__linux__) + return (getauxval(AT_HWCAP) & HWCAP_SHA2) != 0; +#else + return 0; +#endif +} diff --git a/cbits/sha3_armv8.c b/cbits/sha3_armv8.c new file mode 100644 --- /dev/null +++ b/cbits/sha3_armv8.c @@ -0,0 +1,172 @@ +/* + * Keccak-f[1600] using the ARMv8.2 SHA-3 instructions. + * + * crypton_sha3.c runs the permutation in plain C, a round at a time over a + * table of rotation amounts and lane positions. AArch64 has four + * instructions that exist for exactly this: + * + * EOR3 a ^ b ^ c the column parities of theta + * RAX1 a ^ ROL(b, 1) the rest of theta + * XAR ROR(a ^ b, n) theta's exclusive or and rho's rotation at once + * BCAX a ^ (b & ~c) chi + * + * They work on 128-bit registers and the permutation has twenty-five 64-bit + * lanes, so each lane sits in the low half of a register and the high half + * goes unused. Rho and pi move one lane of every row into every other row, + * so the round cannot be done in place: the twenty-five rotated words are + * computed first and chi then writes the state from them. + * + * The body is generated from the definitions in FIPS 202 rather than copied + * in: the rotation amounts are the triangular numbers modulo 64, pi sends + * lane (x, y) to (y, 2x + 3y), and the script that worked those out checked + * the result against the published digests of the empty string and of "abc" + * before emitting any of this. + */ + +#include +#include +#if defined(__APPLE__) +#include +#elif defined(__linux__) +#include +#include +#endif + +/* + * The SHA-3 instructions are an ARMv8.2 extension, so a translation unit + * compiled for the baseline may not use them; see sha256_armv8.c for the whole + * of that argument. The flag for a build without attributes already asks for + * "+sha3", which the SHA-512 path needed. + */ +#include "crypton_armv8_target.h" + +static const uint64_t rc[24] = { + 0x0000000000000001ULL, 0x0000000000008082ULL, 0x800000000000808aULL, + 0x8000000080008000ULL, 0x000000000000808bULL, 0x0000000080000001ULL, + 0x8000000080008081ULL, 0x8000000000008009ULL, 0x000000000000008aULL, + 0x0000000000000088ULL, 0x0000000080008009ULL, 0x000000008000000aULL, + 0x000000008000808bULL, 0x800000000000008bULL, 0x8000000000008089ULL, + 0x8000000000008003ULL, 0x8000000000008002ULL, 0x8000000000000080ULL, + 0x000000000000800aULL, 0x800000008000000aULL, 0x8000000080008081ULL, + 0x8000000000008080ULL, 0x0000000080000001ULL, 0x8000000080008008ULL, +}; + +#define ROUND(k) \ + do { \ + /* theta: the parity of each column, and what it adds */ \ + c[0] = veor3q_u64(a[0], a[5], a[10]); \ + c[0] = veor3q_u64(c[0], a[15], a[20]); \ + c[1] = veor3q_u64(a[1], a[6], a[11]); \ + c[1] = veor3q_u64(c[1], a[16], a[21]); \ + c[2] = veor3q_u64(a[2], a[7], a[12]); \ + c[2] = veor3q_u64(c[2], a[17], a[22]); \ + c[3] = veor3q_u64(a[3], a[8], a[13]); \ + c[3] = veor3q_u64(c[3], a[18], a[23]); \ + c[4] = veor3q_u64(a[4], a[9], a[14]); \ + c[4] = veor3q_u64(c[4], a[19], a[24]); \ + d[0] = vrax1q_u64(c[4], c[1]); \ + d[1] = vrax1q_u64(c[0], c[2]); \ + d[2] = vrax1q_u64(c[1], c[3]); \ + d[3] = vrax1q_u64(c[2], c[4]); \ + d[4] = vrax1q_u64(c[3], c[0]); \ + /* theta's exclusive or, rho's rotation and pi's move, in one */ \ + b[0 ] = veorq_u64(a[0 ], d[0]); \ + b[1 ] = vxarq_u64(a[6 ], d[1], 20); \ + b[2 ] = vxarq_u64(a[12], d[2], 21); \ + b[3 ] = vxarq_u64(a[18], d[3], 43); \ + b[4 ] = vxarq_u64(a[24], d[4], 50); \ + b[5 ] = vxarq_u64(a[3 ], d[3], 36); \ + b[6 ] = vxarq_u64(a[9 ], d[4], 44); \ + b[7 ] = vxarq_u64(a[10], d[0], 61); \ + b[8 ] = vxarq_u64(a[16], d[1], 19); \ + b[9 ] = vxarq_u64(a[22], d[2], 3); \ + b[10] = vxarq_u64(a[1 ], d[1], 63); \ + b[11] = vxarq_u64(a[7 ], d[2], 58); \ + b[12] = vxarq_u64(a[13], d[3], 39); \ + b[13] = vxarq_u64(a[19], d[4], 56); \ + b[14] = vxarq_u64(a[20], d[0], 46); \ + b[15] = vxarq_u64(a[4 ], d[4], 37); \ + b[16] = vxarq_u64(a[5 ], d[0], 28); \ + b[17] = vxarq_u64(a[11], d[1], 54); \ + b[18] = vxarq_u64(a[17], d[2], 49); \ + b[19] = vxarq_u64(a[23], d[3], 8); \ + b[20] = vxarq_u64(a[2 ], d[2], 2); \ + b[21] = vxarq_u64(a[8 ], d[3], 9); \ + b[22] = vxarq_u64(a[14], d[4], 25); \ + b[23] = vxarq_u64(a[15], d[0], 23); \ + b[24] = vxarq_u64(a[21], d[1], 62); \ + /* chi, along each row */ \ + a[0 ] = vbcaxq_u64(b[0 ], b[2 ], b[1 ]); \ + a[1 ] = vbcaxq_u64(b[1 ], b[3 ], b[2 ]); \ + a[2 ] = vbcaxq_u64(b[2 ], b[4 ], b[3 ]); \ + a[3 ] = vbcaxq_u64(b[3 ], b[0 ], b[4 ]); \ + a[4 ] = vbcaxq_u64(b[4 ], b[1 ], b[0 ]); \ + a[5 ] = vbcaxq_u64(b[5 ], b[7 ], b[6 ]); \ + a[6 ] = vbcaxq_u64(b[6 ], b[8 ], b[7 ]); \ + a[7 ] = vbcaxq_u64(b[7 ], b[9 ], b[8 ]); \ + a[8 ] = vbcaxq_u64(b[8 ], b[5 ], b[9 ]); \ + a[9 ] = vbcaxq_u64(b[9 ], b[6 ], b[5 ]); \ + a[10] = vbcaxq_u64(b[10], b[12], b[11]); \ + a[11] = vbcaxq_u64(b[11], b[13], b[12]); \ + a[12] = vbcaxq_u64(b[12], b[14], b[13]); \ + a[13] = vbcaxq_u64(b[13], b[10], b[14]); \ + a[14] = vbcaxq_u64(b[14], b[11], b[10]); \ + a[15] = vbcaxq_u64(b[15], b[17], b[16]); \ + a[16] = vbcaxq_u64(b[16], b[18], b[17]); \ + a[17] = vbcaxq_u64(b[17], b[19], b[18]); \ + a[18] = vbcaxq_u64(b[18], b[15], b[19]); \ + a[19] = vbcaxq_u64(b[19], b[16], b[15]); \ + a[20] = vbcaxq_u64(b[20], b[22], b[21]); \ + a[21] = vbcaxq_u64(b[21], b[23], b[22]); \ + a[22] = vbcaxq_u64(b[22], b[24], b[23]); \ + a[23] = vbcaxq_u64(b[23], b[20], b[24]); \ + a[24] = vbcaxq_u64(b[24], b[21], b[20]); \ + /* iota */ \ + a[0] = veorq_u64(a[0], vld1q_dup_u64(&rc[k])); \ + } while (0) + +/* the twenty-four rounds over the state, in place */ +CRYPTON_TARGET_ARMV8_SHA3 +void crypton_sha3_armv8_permute(uint64_t state[25]) +{ + uint64x2_t a[25], b[25], c[5], d[5]; + int i, round; + + for (i = 0; i < 25; i++) + a[i] = vld1q_dup_u64(&state[i]); + + /* four rounds to an iteration: a round is a chain -- the column + * parities wait for the last chi of the round before -- so giving the + * processor more than one of them to look at is worth something. One + * round an iteration measured 802 MB/s of SHA3-256, two 949 and four + * 991, against 551 for the plain C */ + for (round = 0; round < 24; round += 4) { + ROUND(round); + ROUND(round + 1); + ROUND(round + 2); + ROUND(round + 3); + } + + for (i = 0; i < 25; i++) + state[i] = vgetq_lane_u64(a[i], 0); +} + +/* + * Whether the extension is there. It is on Apple silicon; elsewhere the + * kernel reports it. + */ +int crypton_sha3_armv8_available(void) +{ +#if defined(__APPLE__) + int v = 0; + size_t n = sizeof(v); + + if (sysctlbyname("hw.optional.arm.FEAT_SHA3", &v, &n, NULL, 0) != 0) + return 0; + return v != 0; +#elif defined(__linux__) + return (getauxval(AT_HWCAP) & HWCAP_SHA3) != 0; +#else + return 0; +#endif +} diff --git a/cbits/sha512_armv8.c b/cbits/sha512_armv8.c new file mode 100644 --- /dev/null +++ b/cbits/sha512_armv8.c @@ -0,0 +1,157 @@ +/* + * SHA-512 using the ARMv8.2 SHA-512 extension. + * + * The same idea as sha256_armv8.c: SHA512H, SHA512H2, SHA512SU0 and + * SHA512SU1 do two rounds at a time and compute the message schedule + * alongside. This extension is a good deal less common than the SHA-256 + * one -- it arrived in ARMv8.2 and is optional there -- so the runtime + * check matters more here, and it is asked rather than assumed even on + * Apple, where the SHA-256 one is taken for granted. + * + * SHA-384 and the truncated SHA-512/t variants share the compression + * function, so they come along. + */ + +#include +#include +#if defined(__linux__) +#include +#include +#endif +#if defined(__APPLE__) +#include +#include +#endif + +/* + * The instructions are an extension, so a translation unit compiled for + * baseline ARMv8-A may not use them; mark the function that does. The + * SHA-512 instructions live behind "+sha3" in both GCC and clang. + */ +#include "crypton_armv8_target.h" + +static const uint64_t K[80] = { + 0x428a2f98d728ae22ULL, 0x7137449123ef65cdULL, 0xb5c0fbcfec4d3b2fULL, + 0xe9b5dba58189dbbcULL, 0x3956c25bf348b538ULL, 0x59f111f1b605d019ULL, + 0x923f82a4af194f9bULL, 0xab1c5ed5da6d8118ULL, 0xd807aa98a3030242ULL, + 0x12835b0145706fbeULL, 0x243185be4ee4b28cULL, 0x550c7dc3d5ffb4e2ULL, + 0x72be5d74f27b896fULL, 0x80deb1fe3b1696b1ULL, 0x9bdc06a725c71235ULL, + 0xc19bf174cf692694ULL, 0xe49b69c19ef14ad2ULL, 0xefbe4786384f25e3ULL, + 0x0fc19dc68b8cd5b5ULL, 0x240ca1cc77ac9c65ULL, 0x2de92c6f592b0275ULL, + 0x4a7484aa6ea6e483ULL, 0x5cb0a9dcbd41fbd4ULL, 0x76f988da831153b5ULL, + 0x983e5152ee66dfabULL, 0xa831c66d2db43210ULL, 0xb00327c898fb213fULL, + 0xbf597fc7beef0ee4ULL, 0xc6e00bf33da88fc2ULL, 0xd5a79147930aa725ULL, + 0x06ca6351e003826fULL, 0x142929670a0e6e70ULL, 0x27b70a8546d22ffcULL, + 0x2e1b21385c26c926ULL, 0x4d2c6dfc5ac42aedULL, 0x53380d139d95b3dfULL, + 0x650a73548baf63deULL, 0x766a0abb3c77b2a8ULL, 0x81c2c92e47edaee6ULL, + 0x92722c851482353bULL, 0xa2bfe8a14cf10364ULL, 0xa81a664bbc423001ULL, + 0xc24b8b70d0f89791ULL, 0xc76c51a30654be30ULL, 0xd192e819d6ef5218ULL, + 0xd69906245565a910ULL, 0xf40e35855771202aULL, 0x106aa07032bbd1b8ULL, + 0x19a4c116b8d2d0c8ULL, 0x1e376c085141ab53ULL, 0x2748774cdf8eeb99ULL, + 0x34b0bcb5e19b48a8ULL, 0x391c0cb3c5c95a63ULL, 0x4ed8aa4ae3418acbULL, + 0x5b9cca4f7763e373ULL, 0x682e6ff3d6b2b8a3ULL, 0x748f82ee5defb2fcULL, + 0x78a5636f43172f60ULL, 0x84c87814a1f0ab72ULL, 0x8cc702081a6439ecULL, + 0x90befffa23631e28ULL, 0xa4506cebde82bde9ULL, 0xbef9a3f7b2c67915ULL, + 0xc67178f2e372532bULL, 0xca273eceea26619cULL, 0xd186b8c721c0c207ULL, + 0xeada7dd6cde0eb1eULL, 0xf57d4f7fee6ed178ULL, 0x06f067aa72176fbaULL, + 0x0a637dc5a2c898a6ULL, 0x113f9804bef90daeULL, 0x1b710b35131c471bULL, + 0x28db77f523047d84ULL, 0x32caab7b40c72493ULL, 0x3c9ebe0a15c9bebcULL, + 0x431d67c49c100d4cULL, 0x4cc5d4becb3e42b6ULL, 0x597f299cfc657e2aULL, + 0x5fcb6fab3ad6faecULL, 0x6c44198c4a475817ULL, +}; + +/* + * One 128-byte block. `state` is the eight words of chaining value in host + * order, `buf` the block as it arrived, which SHA-512 reads big-endian. + * + * ab, cd, ef and gh hold the working variables in pairs. Each step covers + * two rounds and rotates which pair plays which part, so four steps return + * to the start; a group of eight steps is one pass over the schedule. + */ +CRYPTON_TARGET_ARMV8_SHA3 +void crypton_sha512_armv8_do_chunk(uint64_t state[8], const uint8_t buf[128]) +{ + uint64x2_t ab, cd, ef, gh, ab0, cd0, ef0, gh0; + uint64x2_t s[8]; + int i; + + ab0 = ab = vld1q_u64(state); + cd0 = cd = vld1q_u64(state + 2); + ef0 = ef = vld1q_u64(state + 4); + gh0 = gh = vld1q_u64(state + 6); + + for (i = 0; i < 8; i++) + s[i] = vreinterpretq_u64_u8(vrev64q_u8( + vld1q_u8(buf + 16 * i))); + +/* two rounds; A, B, C, D is a rotation of gh, ef, cd, ab */ +#define RND(A, B, C, D, sv, ki) \ + do { \ + uint64x2_t is_ = vaddq_u64((sv), vld1q_u64(&K[ki])); \ + uint64x2_t sum_ = vaddq_u64(vextq_u64(is_, is_, 1), (A)); \ + uint64x2_t im_ = vsha512hq_u64(sum_, vextq_u64((B), (A), 1),\ + vextq_u64((C), (B), 1)); \ + (A) = vsha512h2q_u64(im_, (C), (D)); \ + (C) = vaddq_u64((C), im_); \ + } while (0) + +/* extend the schedule in place, for the next sixteen rounds */ +#define SCHED(j) \ + s[j] = vsha512su1q_u64(vsha512su0q_u64(s[j], s[((j) + 1) & 7]), \ + s[((j) + 7) & 7], \ + vextq_u64(s[((j) + 4) & 7], s[((j) + 5) & 7], 1)) + +#define PASS(base) \ + SCHED(0); RND(gh, ef, cd, ab, s[0], (base) + 0); \ + SCHED(1); RND(ef, cd, ab, gh, s[1], (base) + 2); \ + SCHED(2); RND(cd, ab, gh, ef, s[2], (base) + 4); \ + SCHED(3); RND(ab, gh, ef, cd, s[3], (base) + 6); \ + SCHED(4); RND(gh, ef, cd, ab, s[4], (base) + 8); \ + SCHED(5); RND(ef, cd, ab, gh, s[5], (base) + 10); \ + SCHED(6); RND(cd, ab, gh, ef, s[6], (base) + 12); \ + SCHED(7); RND(ab, gh, ef, cd, s[7], (base) + 14) + + /* rounds 0..15 run straight off the message */ + RND(gh, ef, cd, ab, s[0], 0); + RND(ef, cd, ab, gh, s[1], 2); + RND(cd, ab, gh, ef, s[2], 4); + RND(ab, gh, ef, cd, s[3], 6); + RND(gh, ef, cd, ab, s[4], 8); + RND(ef, cd, ab, gh, s[5], 10); + RND(cd, ab, gh, ef, s[6], 12); + RND(ab, gh, ef, cd, s[7], 14); + + PASS(16); + PASS(32); + PASS(48); + PASS(64); + +#undef PASS +#undef SCHED +#undef RND + + vst1q_u64(state, vaddq_u64(ab, ab0)); + vst1q_u64(state + 2, vaddq_u64(cd, cd0)); + vst1q_u64(state + 4, vaddq_u64(ef, ef0)); + vst1q_u64(state + 6, vaddq_u64(gh, gh0)); +} + +/* + * Whether the extension is there. Unlike the SHA-256 one this is not + * something to take for granted anywhere, so both platforms are asked. + */ +int crypton_sha512_armv8_available(void) +{ +#if defined(__APPLE__) + int v = 0; + size_t n = sizeof(v); + + if (sysctlbyname("hw.optional.arm.FEAT_SHA512", &v, &n, NULL, 0) != 0) + return 0; + return v != 0; +#elif defined(__linux__) + return (getauxval(AT_HWCAP) & HWCAP_SHA512) != 0; +#else + return 0; +#endif +} diff --git a/cbits/tests/ct/README b/cbits/tests/ct/README new file mode 100644 --- /dev/null +++ b/cbits/tests/ct/README @@ -0,0 +1,84 @@ +Does the code that handles a secret run in time independent of it? + +memcheck already follows undefined bytes through arithmetic and reports the +moment one of them decides a branch or an address. That is the same question, +so each driver here declares its secret undefined and runs under valgrind: +every report names a place where a secret reached a branch or an index. The +technique is Adam Langley's ctgrind. + +ct_canary.c is the calibration. It branches on a secret and indexes a table +with one, so it must report; if it does not, the marking is not reaching the +code and the silence of every other driver in that run means nothing. Round +five learned this the hard way with ThreadSanitizer, which saw nothing through +GHC's runtime including a deliberate race. + +What is marked secret in each driver is the thing the caller would call a +private key, and nothing else. A modulus, a peer's public key, a nonce and a +message are public and stay defined; so does each answer, which is declared +public again before anything looks at it. + + canary a branch and a table index on a secret -- must report + powm crypton_powm_sec, the exponent being an RSA private key + p256 both scalar multiplications and the scalar inversion + x25519 the scalar + ed25519 the private key, through signing + decaf Ed448 signing and X448, both private scalars + chapoly the ChaCha20 key, the plaintext, and the Poly1305 key + aes the AES key and the plaintext, through ECB and GCM + aes_armv8 the same driver again, on AArch64, against the instructions + +The aes driver is built against cbits/aes/generic.c and cbits/aes/gf.c on +purpose, rather than whatever the machine offers. AES-NI and the ARMv8 +instructions do not look anything up and would report nothing, which would say +nothing about the table-driven code every other machine runs. That code is +variable-time by construction -- a table index is a byte of the state -- and +so is the table-driven GHASH beside it. A report from the aes driver is +therefore expected and is a property of those implementations, not a defect +found in them; it is here so that the size of it is written down rather than +assumed. Everything else is expected to be silent. + +On AArch64 the same driver is then built a second time, as aes_armv8, against +cbits/aes/armv8.c with the crypto extension turned on. AESE, AESMC and PMULL +look nothing up and branch on nothing, so that run must report nothing at all +-- not "nothing outside known.txt", nothing; a table site appearing there +would mean the dispatch had not picked the instructions. The two runs keep +each other honest: the table-driven one has to report and the instruction one +has to be silent, and either going the wrong way says the run is not +measuring what it claims to. + +Until that was added the harness ran only on x86-64, so crypton's AArch64 AES +and GHASH had never been put to it -- which was noticed when the GHASH was +rewritten. + +What round eight found +---------------------- + +Of the eight drivers, five were silent: the RSA exponentiation, X25519, +Ed25519, ChaCha20 and Poly1305 never let a private key decide a branch or an +address. The AES driver reported from the tables, as it was built to. + +The other two reported, five places between them, and every one of them an +assert(): + + crypton_p256_modmul assert(top <= 1), assert(top == 0) + crypton_gf_448_strong_reduce two asserts on a carry and a borrow + crypton_gf_invert assert(ret), that what was inverted had an + inverse + +The first four check an invariant of a reduction rather than anything about +the data, so they hold whatever the input is. The fifth holds because the two +callers that ask for it are inverting a projective z, which is never zero for +a point on the curve. Either way the branch goes the same way every time and +no timing follows from it. They are reported at all because +crypton's C is compiled without NDEBUG, so assert() is live in a released +library. Twenty-eight assertions ship that way, none of them with a side +effect, and defining NDEBUG measured no faster on P-256, so whether to keep +them is a question about what a library should do when an internal invariant +fails -- abort the process, or carry on -- rather than one about speed. They +are listed in known.txt and the job passes with them. + +The decision was to keep them: an internal invariant that fails in a +cryptographic library is better met with an abort than with a wrong answer +carried onwards. So this is settled rather than open, and the five entries in +known.txt are permanent. What is not permanent is anything else appearing +beside them. diff --git a/cbits/tests/ct/ct.h b/cbits/tests/ct/ct.h new file mode 100644 --- /dev/null +++ b/cbits/tests/ct/ct.h @@ -0,0 +1,53 @@ +/* Marking secrets for valgrind. + * + * memcheck already follows undefined bytes through arithmetic and complains + * the moment one decides a branch or an address. That is the same question + * as "does this run in time independent of the secret", so a secret declared + * undefined turns memcheck into a checker for it. The technique is Adam + * Langley's ctgrind. + * + * Without CRYPTON_CT_VALGRIND the macros vanish and the drivers still build + * and run, which is how they are kept honest on a machine with no valgrind. + */ +#ifndef CRYPTON_TESTS_CT_H +#define CRYPTON_TESTS_CT_H + +#ifdef CRYPTON_CT_VALGRIND +#include +/* this memory is a secret: report any branch or index that depends on it */ +#define CT_SECRET(p, n) VALGRIND_MAKE_MEM_UNDEFINED((p), (n)) +/* and this is the answer, which the caller is allowed to look at */ +#define CT_PUBLIC(p, n) VALGRIND_MAKE_MEM_DEFINED((p), (n)) +#else +#define CT_SECRET(p, n) ((void)(p), (void)(n)) +#define CT_PUBLIC(p, n) ((void)(p), (void)(n)) +#endif + +#include +#include + +/* A deterministic filler, so that a report names the same operation on every + * run. It is not random and does not need to be. */ +static uint64_t ct_s0 = 0x243f6a8885a308d3ULL, ct_s1 = 0x13198a2e03707344ULL; +static uint64_t ct_rnd(void) { + uint64_t x = ct_s0, y = ct_s1; + ct_s0 = y; + x ^= x << 23; + ct_s1 = x ^ y ^ (x >> 17) ^ (y >> 26); + return ct_s1 + y; +} +static void ct_fill(void *p, size_t n) { + uint8_t *q = (uint8_t *)p; + size_t i; + for (i = 0; i < n; i++) q[i] = (uint8_t)(ct_rnd() >> 24); +} +/* Look at the answer, so that nothing above is optimized away. Whatever is + * handed here has been declared public first. */ +static void ct_sink(const void *p, size_t n) { + const uint8_t *q = (const uint8_t *)p; + size_t i; + uint8_t acc = 0; + for (i = 0; i < n; i++) acc ^= q[i]; + if (acc == 0xa5 && n == (size_t)-1) printf("unreachable\n"); +} +#endif diff --git a/cbits/tests/ct/ct_aes.c b/cbits/tests/ct/ct_aes.c new file mode 100644 --- /dev/null +++ b/cbits/tests/ct/ct_aes.c @@ -0,0 +1,35 @@ +/* AES, and AES-GCM. The key is the secret, and so is the plaintext. + * + * Whether this reports depends on which implementation the machine selected. + * AES-NI and the ARMv8 instructions do not look anything up; the generic C + * is table-driven and is variable-time by construction, which is a property + * of that code rather than a defect in it. See cbits/tests/ct/README. */ +#include "tests/ct/ct.h" +#include +#include "crypton_aes.h" + +int main(void) { + aes_key k; + aes_gcm_key gk; + uint8_t key[32], pt[256], ct[256 + 16], iv[12]; + + ct_fill(key, sizeof key); + ct_fill(pt, sizeof pt); + ct_fill(iv, sizeof iv); + CT_SECRET(key, sizeof key); + CT_SECRET(pt, sizeof pt); + + crypton_aes_initkey(&k, key, sizeof key); + crypton_aes_encrypt_ecb((aes_block *)ct, &k, (aes_block *)pt, + sizeof pt / 16); + CT_PUBLIC(ct, sizeof pt); + ct_sink(ct, sizeof pt); + + crypton_aes_gcm_key_init(&gk, &k); + /* the output takes the ciphertext and then the tag */ + crypton_aes_gcm_full_encrypt(ct, &gk, &k, iv, sizeof iv, NULL, 0, + pt, sizeof pt, 16); + CT_PUBLIC(ct, sizeof ct); + ct_sink(ct, sizeof ct); + return 0; +} diff --git a/cbits/tests/ct/ct_aes_armv8.c b/cbits/tests/ct/ct_aes_armv8.c new file mode 100644 --- /dev/null +++ b/cbits/tests/ct/ct_aes_armv8.c @@ -0,0 +1,12 @@ +/* The same driver as ct_aes.c, built against the AArch64 implementation + * instead of the table-driven C. + * + * AESE, AESMC and PMULL look nothing up and branch on nothing, so this one + * must report nothing at all -- not "nothing unknown", nothing. The + * table-driven run of the same driver is what keeps that honest: if the + * marking stopped reaching the code, that run would fall silent and fail, + * and a silence here would mean no more than a silence there. + * + * Until this existed the constant-time harness ran only on x86-64, so + * crypton's AArch64 AES and GHASH had never been put to it. */ +#include "ct_aes.c" diff --git a/cbits/tests/ct/ct_canary.c b/cbits/tests/ct/ct_canary.c new file mode 100644 --- /dev/null +++ b/cbits/tests/ct/ct_canary.c @@ -0,0 +1,21 @@ +/* The calibration. This one is deliberately not constant time: it branches + * on a secret byte and indexes a table with another. If it reports nothing, + * the marking is not reaching the code and every other driver's silence in + * this run means nothing either -- which is the whole reason it is here. */ +#include "tests/ct/ct.h" + +static const uint8_t table[256] = {1}; + +int main(void) { + uint8_t secret[32], out[2]; + + ct_fill(secret, sizeof secret); + CT_SECRET(secret, sizeof secret); + + out[0] = secret[0] & 1 ? 0x5a : 0xa5; /* a branch on the secret */ + out[1] = table[secret[1]]; /* an address from the secret */ + + CT_PUBLIC(out, sizeof out); + ct_sink(out, sizeof out); + return 0; +} diff --git a/cbits/tests/ct/ct_chapoly.c b/cbits/tests/ct/ct_chapoly.c new file mode 100644 --- /dev/null +++ b/cbits/tests/ct/ct_chapoly.c @@ -0,0 +1,33 @@ +/* ChaCha20 and Poly1305. The key is the secret, and so is the plaintext. */ +#include "tests/ct/ct.h" +#include +#include "crypton_chacha.h" +#include "crypton_poly1305.h" + +int main(void) { + crypton_chacha_context ctx; + poly1305_ctx pctx; + poly1305_key pkey; + poly1305_mac mac; + uint8_t key[32], iv[12], pt[256], ct[256]; + + ct_fill(key, sizeof key); + ct_fill(iv, sizeof iv); + ct_fill(pt, sizeof pt); + ct_fill(pkey, sizeof pkey); + CT_SECRET(key, sizeof key); + CT_SECRET(pt, sizeof pt); + CT_SECRET(pkey, sizeof pkey); + + crypton_chacha_init(&ctx, 20, sizeof key, key, sizeof iv, iv); + crypton_chacha_combine(ct, &ctx, pt, sizeof pt); + CT_PUBLIC(ct, sizeof ct); /* the ciphertext goes on the wire */ + ct_sink(ct, sizeof ct); + + crypton_poly1305_init(&pctx, &pkey); + crypton_poly1305_update(&pctx, ct, sizeof ct); + crypton_poly1305_finalize(mac, &pctx); + CT_PUBLIC(mac, sizeof mac); + ct_sink(mac, sizeof mac); + return 0; +} diff --git a/cbits/tests/ct/ct_decaf.c b/cbits/tests/ct/ct_decaf.c new file mode 100644 --- /dev/null +++ b/cbits/tests/ct/ct_decaf.c @@ -0,0 +1,36 @@ +/* X448 and Ed448. The scalar and the private key are the secrets. */ +#include "tests/ct/ct.h" +#include +#include "decaf/ed448.h" +#include "decaf/point_448.h" + +int main(void) { + uint8_t priv[CRYPTON_DECAF_EDDSA_448_PRIVATE_BYTES]; + uint8_t pub[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES]; + uint8_t sig[CRYPTON_DECAF_EDDSA_448_SIGNATURE_BYTES]; + uint8_t xs[CRYPTON_DECAF_X448_PRIVATE_BYTES]; + uint8_t xb[CRYPTON_DECAF_X448_PUBLIC_BYTES]; + uint8_t xo[CRYPTON_DECAF_X448_PUBLIC_BYTES]; + uint8_t msg[64]; + + ct_fill(priv, sizeof priv); + ct_fill(msg, sizeof msg); + ct_fill(xs, sizeof xs); + ct_fill(xb, sizeof xb); + CT_SECRET(priv, sizeof priv); + CT_SECRET(xs, sizeof xs); + + crypton_decaf_ed448_derive_public_key(pub, priv); + CT_PUBLIC(pub, sizeof pub); + crypton_decaf_ed448_sign(sig, priv, pub, msg, sizeof msg, 0, NULL, 0); + CT_PUBLIC(sig, sizeof sig); + ct_sink(sig, sizeof sig); + + crypton_decaf_x448_derive_public_key(xo, xs); + CT_PUBLIC(xo, sizeof xo); + ct_sink(xo, sizeof xo); + (void)crypton_decaf_x448(xo, xb, xs); + CT_PUBLIC(xo, sizeof xo); + ct_sink(xo, sizeof xo); + return 0; +} diff --git a/cbits/tests/ct/ct_ed25519.c b/cbits/tests/ct/ct_ed25519.c new file mode 100644 --- /dev/null +++ b/cbits/tests/ct/ct_ed25519.c @@ -0,0 +1,23 @@ +/* Ed25519 signing. The private key is the secret; the message is not. */ +#include "tests/ct/ct.h" +#include +#include "ed25519/ed25519.h" + +int main(void) { + ed25519_secret_key sk; + ed25519_public_key pk; + ed25519_signature sig; + uint8_t msg[64]; + + ct_fill(sk, sizeof sk); + ct_fill(msg, sizeof msg); + CT_SECRET(sk, sizeof sk); + + crypton_ed25519_publickey(sk, pk); + CT_PUBLIC(pk, sizeof pk); + + crypton_ed25519_sign(msg, sizeof msg, sk, pk, sig); + CT_PUBLIC(sig, sizeof sig); + ct_sink(sig, sizeof sig); + return 0; +} diff --git a/cbits/tests/ct/ct_p256.c b/cbits/tests/ct/ct_p256.c new file mode 100644 --- /dev/null +++ b/cbits/tests/ct/ct_p256.c @@ -0,0 +1,42 @@ +/* The two P-256 scalar multiplications and the scalar inversion, all of + * which take the private key as the scalar. */ +#include "tests/ct/ct.h" +#include +#include "p256/p256.h" + +void crypton_p256e_point_mul(const crypton_p256_int *n, + const crypton_p256_int *ix, const crypton_p256_int *iy, + crypton_p256_int *ox, crypton_p256_int *oy); +void crypton_p256e_scalar_invert(const crypton_p256_int *a, + crypton_p256_int *b); + +int main(void) { + crypton_p256_int n, px, py, ox, oy, inv, one; + int i; + + /* a public point to be multiplied: the generator's 0x9e3779b9 multiple */ + crypton_p256_init(&one); + P256_DIGIT(&one, 0) = 0x9e3779b9u; + crypton_p256_base_point_mul(&one, &px, &py); + + for (i = 0; i < P256_NDIGITS; i++) + P256_DIGIT(&n, i) = (crypton_p256_digit)ct_rnd(); + crypton_p256_mod(&crypton_SECP256r1_n, &n, &n); + + CT_SECRET(&n, sizeof n); + + crypton_p256_base_point_mul(&n, &ox, &oy); + CT_PUBLIC(&ox, sizeof ox); + CT_PUBLIC(&oy, sizeof oy); + ct_sink(&ox, sizeof ox); + + crypton_p256e_point_mul(&n, &px, &py, &ox, &oy); + CT_PUBLIC(&ox, sizeof ox); + CT_PUBLIC(&oy, sizeof oy); + ct_sink(&oy, sizeof oy); + + crypton_p256e_scalar_invert(&n, &inv); + CT_PUBLIC(&inv, sizeof inv); + ct_sink(&inv, sizeof inv); + return 0; +} diff --git a/cbits/tests/ct/ct_powm.c b/cbits/tests/ct/ct_powm.c new file mode 100644 --- /dev/null +++ b/cbits/tests/ct/ct_powm.c @@ -0,0 +1,29 @@ +/* The windowed modular exponentiation, which is what an RSA private key + * operation runs. The exponent is the secret it is built to hide. */ +#include "tests/ct/ct.h" +#include +#include "crypton_powm.h" + +int main(void) { + enum { LEN = 256 }; /* a 2048-bit modulus */ + uint8_t out[LEN], base[LEN], mod[LEN], exp[LEN]; + + ct_fill(base, sizeof base); + ct_fill(mod, sizeof mod); + ct_fill(exp, sizeof exp); + mod[0] |= 0x80; /* full width */ + mod[LEN - 1] |= 1; /* and odd, which is what it wants */ + base[0] &= 0x7f; /* below the modulus */ + + /* The exponent is the private key. The base is the ciphertext, which an + * attacker chooses and already knows, so it stays public. */ + CT_SECRET(exp, sizeof exp); + + if (crypton_powm_sec(out, base, LEN, exp, LEN, mod, LEN) != 0) { + printf("powm_sec refused\n"); + return 1; + } + CT_PUBLIC(out, sizeof out); + ct_sink(out, sizeof out); + return 0; +} diff --git a/cbits/tests/ct/ct_x25519.c b/cbits/tests/ct/ct_x25519.c new file mode 100644 --- /dev/null +++ b/cbits/tests/ct/ct_x25519.c @@ -0,0 +1,25 @@ +/* X25519. The scalar is the private key; the base point is the peer's + * public key and is not secret. */ +#include "tests/ct/ct.h" +#include + +void crypton_curve25519_donna(uint8_t *mypublic, const uint8_t *secret, + const uint8_t *basepoint); + +int main(void) { + uint8_t sec[32], base[32], out[32]; + static const uint8_t g[32] = {9}; + + ct_fill(sec, sizeof sec); + ct_fill(base, sizeof base); + CT_SECRET(sec, sizeof sec); + + crypton_curve25519_donna(out, sec, g); /* the public key */ + CT_PUBLIC(out, sizeof out); + ct_sink(out, sizeof out); + + crypton_curve25519_donna(out, sec, base); /* the shared secret */ + CT_PUBLIC(out, sizeof out); + ct_sink(out, sizeof out); + return 0; +} diff --git a/cbits/tests/ct/known.txt b/cbits/tests/ct/known.txt new file mode 100644 --- /dev/null +++ b/cbits/tests/ct/known.txt @@ -0,0 +1,54 @@ +# Places where a secret reaches a branch that are known, understood and not +# defects. A driver reporting only these passes; anything else fails. +# +# Every entry is "file:line what it is". Keep it short: a long one means +# something has been accepted that should have been fixed. + +# assert() on a value derived from the secret. The asserted condition holds +# on every input -- these check an internal invariant of the reduction, not +# anything about the data -- so the branch goes the same way every time and +# no timing follows from it. They are reported because crypton's C is built +# without NDEBUG, so assert() is live in a released library. See the round +# eight notes in cbits/tests/ct/README. +p256.c:200 assert(top <= 1) in crypton_p256_modmul +p256.c:204 assert(top == 0) in crypton_p256_modmul +f_generic.c:94 assert on the borrow in crypton_gf_448_strong_reduce +f_generic.c:106 assert on the carry in crypton_gf_448_strong_reduce + +# The same thing for a different reason. crypton_gf_invert asserts that what +# it inverted had an inverse, and the two callers that ask for the assertion +# are inverting a projective z, which is never zero for a point on the curve. +# So this one holds because of what the callers pass rather than because of +# arithmetic, and it too goes the same way on every valid input. +decaf.c:136 assert(ret) in crypton_gf_invert + +# The table-driven AES and the table-driven GHASH index with a byte of the +# state, which is what makes them fast and what makes them variable-time. +# That is a property of those implementations rather than a defect in them; +# a machine with AES-NI or the ARMv8 instructions runs neither. +generic.c the AES tables, in key expansion and in the rounds +gf.c the GHASH table +crypton_aes.c the same tables, attributed to the code that inlines them +block128.h likewise + +# AArch64 only. gcc keeps a carry in the flags and takes it out with `cset` +# or `cinc`, where on x86-64 it uses `adc` and the carry never leaves the +# data path. memcheck calls `cset` a conditional move and reports it, and +# it attributes the report to the branch that ends the block rather than to +# the `cset` itself -- so the site it names is a loop back-edge, not the +# instruction that touched the secret. +# +# Checked by disassembling the address memcheck named, in a -no-pie build so +# that its addresses and objdump's agree. At every one of these the branch +# reads flags from a `cmp` against a loop counter or a pointer bound, both +# public; the only instructions consuming the secret's flags are `cset` and +# `cinc`, which do not branch and take the same time either way. In decaf's +# lookup the secret only reaches a `dup` and a NEON `and`/`orr`. +# +# 400f60 cmp x3, #0x20 <- public: four digits of 8 bytes +# 400f64 b.ne 400f3c <- what memcheck names +# 404c6c cmp x3, x6 <- public: j against n_table +# 404c70 b.ne 404c30 <- what memcheck names +p256.c:147 addM's loop; the carry is taken with cset and cinc +p256.c:149 the same +constant_time.h:150 decaf's constant-time lookup, over j < n_table diff --git a/cbits/tests/ct/run.sh b/cbits/tests/ct/run.sh new file mode 100644 --- /dev/null +++ b/cbits/tests/ct/run.sh @@ -0,0 +1,167 @@ +#!/bin/sh +# Does the code that handles a secret run in time independent of it? +# +# memcheck already follows undefined bytes through arithmetic and reports the +# moment one decides a branch or an address. That is the same question, so +# each driver declares its secret undefined and runs under valgrind: every +# report names a place where the secret reached a branch or an index. +# The technique is Adam Langley's ctgrind. +# +# Without valgrind the drivers are still built and run, which says only that +# the plumbing is right -- it checks nothing about timing, and says so. +# +# Usage: cbits/tests/ct/run.sh [build-dir] +set -eu + +root=$(CDPATH= cd -- "$(dirname -- "$0")/../../.." && pwd) +out=${1:-$(mktemp -d)} +cc=${CC:-cc} +mkdir -p "$out" +cd "$root" + +D=cbits/decaf +decaf_src="$D/ed448goldilocks/decaf_all.c $D/ed448goldilocks/eddsa.c + $D/ed448goldilocks/scalar.c $D/p448/f_arithmetic.c + $D/p448/f_generic.c $D/utils.c $D/p448/arch_ref64/f_impl.c + cbits/crypton_sha3.c" +decaf_inc="-DCRYPTON_DECAF_WORD_BITS=64 -I$D/include -I$D/p448 + -I$D/include/arch_ref64 -I$D/p448/arch_ref64" + +# The generic C, not whatever the machine happens to offer. A build that +# takes AES-NI reports nothing from the AES driver and says nothing about the +# table-driven code every other machine runs. +aes_src="cbits/crypton_aes.c cbits/aes/generic.c cbits/aes/gf.c" + +# And, on AArch64, the same driver again against the instructions. That one +# has to be silent; this one has to report. Either going the wrong way says +# the run is not measuring what it claims to. +armv8_src="$aes_src cbits/aes/armv8.c cbits/crypton_cpu.c" +armv8_inc="-DWITH_ARMV8_CRYPTO -march=armv8-a+crypto -Icbits/aes" + +status=0 +have_valgrind=no +ct_define= +if command -v valgrind > /dev/null 2>&1; then + have_valgrind=yes + ct_define=-DCRYPTON_CT_VALGRIND +fi + +run_one() { + name=$1; srcs=$2; inc=$3 + # shellcheck disable=SC2086 + $cc -O2 -g $ct_define -Icbits -Icbits/include64 $inc \ + -o "$out/$name" "cbits/tests/ct/ct_$name.c" $srcs 2> "$out/$name.cc" || { + echo "FAIL $name did not build"; sed -n '1,12p' "$out/$name.cc"; status=1; return + } + if [ "$have_valgrind" = no ]; then + "$out/$name" > /dev/null 2>&1 && echo "built $name (no valgrind here; nothing checked)" \ + || { echo "FAIL $name did not run"; status=1; } + return + fi + valgrind --error-exitcode=0 --track-origins=yes --num-callers=20 \ + --log-file="$out/$name.log" "$out/$name" > /dev/null 2>&1 || true + n=$(grep -c "^==[0-9]*== \(Conditional jump\|Use of uninitialised\)" "$out/$name.log" || true) + # Which places did it name? Only the frame the report is against -- the + # first "at" line under the complaint -- is the place; the "by" lines + # below it are how the code got there and are not themselves branching + # on anything. Nor is the "at" line under "Uninitialised value was + # created by", which --track-origins prints to say where the value came + # from: that frame is a stack allocation, not a branch, and taking it + # for one put a function's opening brace on the list. A site is + # "file:line", and the ones listed in known.txt are understood. + sites=$(awk ' + /^==[0-9]*== (Conditional jump|Use of uninitialised)/ { want = 1; next } + want && /^==[0-9]*== at 0x/ { print; want = 0 } + ' "$out/$name.log" | + sed -n 's/^==[0-9]*== at 0x[0-9A-Fa-f]*: [A-Za-z_0-9]* (\([^)]*\))$/\1/p' | + grep -v '^ct_' | sort -u) + unknown= + for site in $sites; do + file=${site%%:*} + if grep -q "^$site[[:space:]]" cbits/tests/ct/known.txt || + grep -q "^$file[[:space:]]" cbits/tests/ct/known.txt; then + continue + fi + unknown="$unknown $site" + done + + case $name in + canary) + # the calibration: silence here would mean the marking never reached + # the code, and every other zero in this run would be worthless + if [ "$n" -eq 0 ]; then + echo "FAIL canary: the deliberately leaky driver reported nothing," + echo " so the marking is not reaching the code and nothing below counts" + status=1 + else + echo "ok canary: reported $n, so the marking works" + fi + ;; + aes) + # Silence would mean the build took an accelerated path and so + # measured nothing; the tables reporting is the point. + if [ "$n" -eq 0 ]; then + echo "FAIL aes: reported nothing, so this build did not take the" + echo " table-driven code the driver exists to measure" + status=1 + else + echo "note aes: $n report(s), from $(echo "$sites" | tr '\n' ' ')" + fi + ;; + aes_armv8) + # The opposite demand, and known.txt does not apply: the entries in + # it are for the tables, and this build is not supposed to reach + # them. Anything at all here is a finding, including a table site, + # which would mean the dispatch did not pick the instructions. + if [ "$n" -eq 0 ]; then + echo "ok aes_armv8: the instructions decided nothing" + else + echo "FAIL aes_armv8: $n report(s) from the AArch64 AES or GHASH," + echo " which look nothing up and should branch on nothing:" + for site in $sites; do echo " $site"; done + sed -n '/Conditional jump\|Use of uninitialised/,/^==[0-9]*== $/p' \ + "$out/$name.log" | head -30 | sed 's/^/ /' + status=1 + fi + ;; + *) + if [ "$n" -eq 0 ]; then + echo "ok $name: the secret decided nothing" + elif [ -z "$unknown" ]; then + echo "ok $name: $n report(s), all known -- $(echo "$sites" | tr '\n' ' ')" + else + echo "REPORT $name: the secret decided a branch or an address" + echo " somewhere not listed in cbits/tests/ct/known.txt:" + for site in $unknown; do echo " $site"; done + sed -n '/Conditional jump\|Use of uninitialised/,/^==[0-9]*== $/p' \ + "$out/$name.log" | head -30 | sed 's/^/ /' + status=1 + fi + ;; + esac +} + +# The calibration first: it must report, or nothing below means anything. +run_one canary "" "" + +run_one powm "cbits/crypton_powm.c" "" +run_one p256 "cbits/p256/p256.c cbits/p256/p256_ec.c" "" +run_one x25519 "cbits/curve25519/curve25519-donna-c64.c" "" +run_one ed25519 "cbits/ed25519/ed25519.c cbits/crypton_sha512.c" "-Icbits/ed25519" +run_one decaf "$decaf_src" "$decaf_inc" +run_one chapoly "cbits/crypton_chacha.c cbits/crypton_poly1305.c" "" +run_one aes "$aes_src" "" + +# Only where the instructions exist. Elsewhere there is nothing to measure +# and the build would not even compile. +case $(uname -m) in +aarch64 | arm64) + run_one aes_armv8 "$armv8_src" "$armv8_inc" + ;; +esac + +if [ "$have_valgrind" = no ]; then + echo "skip no valgrind here, so none of the above was checked" + exit 0 +fi +exit $status diff --git a/cbits/tests/endian/README b/cbits/tests/endian/README new file mode 100644 --- /dev/null +++ b/cbits/tests/endian/README @@ -0,0 +1,27 @@ +Does this C give the same answers on a big-endian machine? + +The cabal file lists s390x and ppc64 among the architectures it builds for. +Neither is in the CI matrix, and neither had ever compiled this code, let +alone run it. Eighteen files read their input through the loaders in +crypton_align.h -- which were rewritten from word-typed casts to memcpy in +#256 -- and eight more decide something from the byte order themselves. That +is the largest body of untested endianness-sensitive code in the tree, and the +riskiest part of it is the most recently written. + +The two sides cannot be compared in one run the way the 32-bit harness +compares two builds, because only one endianness exists on the machine doing +the comparing. So the answers are frozen instead: vectors.txt is what this +code gives on a little-endian host, and check mode reads it back and compares. +Any machine can run check mode, and a big-endian one that disagrees says so +line by line. + + cbits/tests/endian/run.sh generate write vectors.txt from this machine + cbits/tests/endian/run.sh check this machine against vectors.txt + +Generate mode is for a maintainer on a little-endian machine after adding a +primitive, and the file it writes is committed. It is not run in CI, where +only check mode makes sense. + +The first few lines of vectors.txt are published test vectors rather than +whatever this code happened to produce -- SHA-256 of "abc" and the like -- +so that a mistake on the generating host is caught rather than frozen in. diff --git a/cbits/tests/endian/endian.c b/cbits/tests/endian/endian.c new file mode 100644 --- /dev/null +++ b/cbits/tests/endian/endian.c @@ -0,0 +1,192 @@ +/* What this C answers, so that a big-endian machine can be asked the same. + * + * Every primitive here reads its input a word at a time, or writes its output + * that way, or both -- which is the step that goes wrong when the byte order + * changes. Each one is fed the same deterministic bytes at several lengths, + * including lengths either side of its block, since the tail is where the + * length is packed in and where the byte order shows. + */ +#include +#include +#include +#include + +#include "crypton_md4.h" +#include "crypton_md5.h" +#include "crypton_sha1.h" +#include "crypton_sha256.h" +#include "crypton_sha512.h" +#include "crypton_sha3.h" +#include "crypton_ripemd.h" +#include "crypton_skein256.h" +#include "crypton_skein512.h" +#include "crypton_tiger.h" +#include "crypton_whirlpool.h" +#include "crypton_chacha.h" +#include "crypton_salsa.h" +#include "crypton_poly1305.h" + +/* The skein headers spell the prefix "cryponite", which nothing defines. */ +void crypton_skein256_init(struct skein256_ctx *ctx, uint32_t hashlen); +void crypton_skein256_update(struct skein256_ctx *ctx, const uint8_t *data, uint32_t len); +void crypton_skein256_finalize(struct skein256_ctx *ctx, uint32_t hashlen, uint8_t *out); +void crypton_skein512_init(struct skein512_ctx *ctx, uint32_t hashlen); +void crypton_skein512_update(struct skein512_ctx *ctx, const uint8_t *data, uint32_t len); +void crypton_skein512_finalize(struct skein512_ctx *ctx, uint32_t hashlen, uint8_t *out); + +static int generating; +static FILE *vf; +static int failures, checked; + +/* one answer: named, and either written out or compared with what was */ +static void answer(const char *name, const uint8_t *out, size_t n) { + char got[512], want[512], label[128]; + size_t i; + for (i = 0; i < n && i * 2 + 2 < sizeof got; i++) + snprintf(got + i * 2, 3, "%02x", out[i]); + got[n * 2] = 0; + /* an answer of no bytes still has to be a token, or the reader below + takes the next line's name for this line's answer and everything + after it is compared against the wrong thing */ + if (n == 0) strcpy(got, "-"); + if (generating) { + fprintf(vf, "%s %s\n", name, got); + return; + } + if (fscanf(vf, "%127s %511s", label, want) != 2) { + printf("FAIL %s: vectors.txt ended early\n", name); + failures++; + return; + } + checked++; + if (strcmp(label, name) != 0) { + printf("FAIL out of step: expected %s, vectors.txt has %s\n", name, label); + failures++; + } else if (strcmp(got, want) != 0) { + printf("FAIL %s\n little-endian %s\n this machine %s\n", name, want, got); + failures++; + } +} + +/* the input: deterministic, and at lengths either side of every block size */ +static const size_t lengths[] = {0, 1, 3, 55, 56, 63, 64, 65, 111, 112, + 127, 128, 129, 135, 136, 255, 256, 1000}; +static uint8_t buf[1024]; +static void fill(void) { + size_t i; + for (i = 0; i < sizeof buf; i++) buf[i] = (uint8_t)(i * 7 + (i >> 5) * 31); +} + +#define HASH(nm, ctxt, initcall, updcall, fincall, outlen) \ + do { \ + size_t li; \ + for (li = 0; li < sizeof lengths / sizeof *lengths; li++) { \ + ctxt ctx; \ + uint8_t out[outlen]; \ + char nmbuf[128]; \ + initcall; \ + updcall; \ + fincall; \ + snprintf(nmbuf, sizeof nmbuf, "%s/%zu", nm, lengths[li]); \ + answer(nmbuf, out, outlen); \ + } \ + } while (0) + +int main(int argc, char **argv) { + generating = (argc > 1 && strcmp(argv[1], "generate") == 0); + vf = fopen(argc > 2 ? argv[2] : "cbits/tests/endian/vectors.txt", + generating ? "w" : "r"); + if (!vf) { printf("cannot open vectors.txt\n"); return 2; } + fill(); + + HASH("md4", struct md4_ctx, crypton_md4_init(&ctx), + crypton_md4_update(&ctx, buf, (uint32_t)lengths[li]), + crypton_md4_finalize(&ctx, out), 16); + HASH("md5", struct md5_ctx, crypton_md5_init(&ctx), + crypton_md5_update(&ctx, buf, (uint32_t)lengths[li]), + crypton_md5_finalize(&ctx, out), 16); + HASH("sha1", struct sha1_ctx, crypton_sha1_init(&ctx), + crypton_sha1_update(&ctx, buf, (uint32_t)lengths[li]), + crypton_sha1_finalize(&ctx, out), 20); + HASH("sha256", struct sha256_ctx, crypton_sha256_init(&ctx), + crypton_sha256_update(&ctx, buf, (uint32_t)lengths[li]), + crypton_sha256_finalize(&ctx, out), 32); + HASH("sha512", struct sha512_ctx, crypton_sha512_init(&ctx), + crypton_sha512_update(&ctx, buf, (uint32_t)lengths[li]), + crypton_sha512_finalize(&ctx, out), 64); + /* sha3's context ends in a flexible buffer whose width comes from the + * hash length, so it is not a plain automatic variable like the rest. */ + { + size_t li; + for (li = 0; li < sizeof lengths / sizeof *lengths; li++) { + uint8_t space[SHA3_CTX_BUF_MAX_SIZE]; + struct sha3_ctx *ctx = (struct sha3_ctx *)space; + uint8_t out[32]; + char nmbuf[128]; + crypton_sha3_init(ctx, 256); + crypton_sha3_update(ctx, buf, (uint32_t)lengths[li]); + crypton_sha3_finalize(ctx, 256, out); + snprintf(nmbuf, sizeof nmbuf, "sha3-256/%zu", lengths[li]); + answer(nmbuf, out, sizeof out); + } + } + HASH("ripemd160", struct ripemd160_ctx, crypton_ripemd160_init(&ctx), + crypton_ripemd160_update(&ctx, buf, (uint32_t)lengths[li]), + crypton_ripemd160_finalize(&ctx, out), 20); + HASH("skein256", struct skein256_ctx, crypton_skein256_init(&ctx, 256), + crypton_skein256_update(&ctx, buf, (uint32_t)lengths[li]), + crypton_skein256_finalize(&ctx, 256, out), 32); + HASH("skein512", struct skein512_ctx, crypton_skein512_init(&ctx, 512), + crypton_skein512_update(&ctx, buf, (uint32_t)lengths[li]), + crypton_skein512_finalize(&ctx, 512, out), 64); + HASH("tiger", struct tiger_ctx, crypton_tiger_init(&ctx), + crypton_tiger_update(&ctx, buf, (uint32_t)lengths[li]), + crypton_tiger_finalize(&ctx, out), 24); + HASH("whirlpool", struct whirlpool_ctx, crypton_whirlpool_init(&ctx), + crypton_whirlpool_update(&ctx, buf, (uint32_t)lengths[li]), + crypton_whirlpool_finalize(&ctx, out), 64); + + /* The stream ciphers and the one-time authenticator. Each reads its key + * and its input a word at a time and writes its output the same way, so + * the byte order shows in the answer rather than in a length field. */ + { + size_t li; + for (li = 0; li < sizeof lengths / sizeof *lengths; li++) { + crypton_chacha_context cctx; + crypton_salsa_context sctx; + poly1305_ctx pctx; + poly1305_key pkey; + poly1305_mac mac; + uint8_t key[32], iv[8], outbuf[1024]; + char nmbuf[128]; + size_t i; + + for (i = 0; i < sizeof key; i++) key[i] = (uint8_t)(i * 11 + 3); + for (i = 0; i < sizeof iv; i++) iv[i] = (uint8_t)(i * 5 + 1); + + crypton_chacha_init(&cctx, 20, sizeof key, key, sizeof iv, iv); + crypton_chacha_combine(outbuf, &cctx, buf, (uint32_t)lengths[li]); + snprintf(nmbuf, sizeof nmbuf, "chacha20/%zu", lengths[li]); + answer(nmbuf, outbuf, lengths[li] < 64 ? lengths[li] : 64); + + crypton_salsa_init(&sctx, 20, sizeof key, key, sizeof iv, iv); + crypton_salsa_combine(outbuf, &sctx, buf, (uint32_t)lengths[li]); + snprintf(nmbuf, sizeof nmbuf, "salsa20/%zu", lengths[li]); + answer(nmbuf, outbuf, lengths[li] < 64 ? lengths[li] : 64); + + for (i = 0; i < sizeof pkey; i++) pkey[i] = (uint8_t)(i * 13 + 7); + crypton_poly1305_init(&pctx, &pkey); + crypton_poly1305_update(&pctx, buf, (uint32_t)lengths[li]); + crypton_poly1305_finalize(mac, &pctx); + snprintf(nmbuf, sizeof nmbuf, "poly1305/%zu", lengths[li]); + answer(nmbuf, mac, sizeof mac); + } + } + + if (!generating && failures == 0) + printf("ok %d answers match the little-endian ones\n", checked); + else if (!generating) + printf("FAIL %d of %d answers differ\n", failures, checked); + fclose(vf); + return failures != 0; +} diff --git a/cbits/tests/endian/run.sh b/cbits/tests/endian/run.sh new file mode 100644 --- /dev/null +++ b/cbits/tests/endian/run.sh @@ -0,0 +1,50 @@ +#!/bin/sh +# Does this C give the same answers on a big-endian machine? +# +# s390x and ppc64 are among the architectures the cabal file builds for, and +# neither is in the matrix. Eighteen files read their input through the +# loaders in crypton_align.h -- rewritten from word-typed casts to memcpy in +# #256 -- and eight more decide something from the byte order themselves. +# +# The two sides cannot be compared in one run the way the 32-bit harness +# compares two builds, because the machine doing the comparing has only one +# byte order. So the answers are frozen: vectors.txt is what this code gives +# on a little-endian host, and check mode reads it back. +# +# Usage: cbits/tests/endian/run.sh [generate] [build-dir] +set -eu + +root=$(CDPATH= cd -- "$(dirname -- "$0")/../../.." && pwd) +mode=check +if [ "${1:-}" = generate ]; then mode=generate; shift; fi +out=${1:-$(mktemp -d)} +cc=${CC:-cc} +mkdir -p "$out" +cd "$root" + +srcs="cbits/crypton_md4.c cbits/crypton_md5.c cbits/crypton_sha1.c + cbits/crypton_sha256.c cbits/crypton_sha512.c cbits/crypton_sha3.c + cbits/crypton_ripemd.c cbits/crypton_skein256.c cbits/crypton_skein512.c + cbits/crypton_tiger.c cbits/crypton_whirlpool.c + cbits/crypton_chacha.c cbits/crypton_salsa.c cbits/crypton_poly1305.c" + +# Generating is done under the sanitizers, since a driver that writes out of +# bounds would otherwise freeze whatever it happened to leave behind. That +# is not hypothetical: sha3's context ends in a flexible buffer and the first +# draft of the driver put it on the stack as a plain struct. +san= +if [ "$mode" = generate ]; then + san="-fsanitize=address,undefined -fno-sanitize-recover=all" +fi + +# shellcheck disable=SC2086 +$cc -O2 -g $san -Icbits -Icbits/include64 -o "$out/endian" \ + cbits/tests/endian/endian.c $srcs + +if [ "$mode" = generate ]; then + "$out/endian" generate cbits/tests/endian/vectors.txt + echo "wrote $(wc -l < cbits/tests/endian/vectors.txt | tr -d ' ') answers" + echo "commit cbits/tests/endian/vectors.txt" +else + "$out/endian" check cbits/tests/endian/vectors.txt +fi diff --git a/cbits/tests/endian/vectors.txt b/cbits/tests/endian/vectors.txt new file mode 100644 --- /dev/null +++ b/cbits/tests/endian/vectors.txt @@ -0,0 +1,252 @@ +md4/0 31d6cfe0d16ae931b73c59d7e0c089c0 +md4/1 47c61a0fa8738ba77308a8a600f88e4b +md4/3 5dc60555aff84f4f4d75c487477bd40e +md4/55 7fb3b8a921fbb273575603f44876e276 +md4/56 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bytes fed to the code that parses what comes off the wire. + +Rounds one to ten asked prepared questions. This one asks whether anything +breaks on input nobody chose. What is looked for is memory safety rather +than wrong answers: these inputs are meant to be rejected, and the question is +how they are rejected. + +The harnesses are the places where bytes from elsewhere are taken apart: + + ed25519 a public key and a signature, both the sender's to choose + decaf point decoding, EdDSA public key decoding, Ed448 verification + p256 a point checked for being on the curve, then multiplied + aead AES-GCM decryption, with the iv, aad and tag lengths from the wire + canary the calibration + +fuzz_canary reads one byte past a buffer when the input opens with four +particular bytes. Four is the point: one chance in 2^32 puts it out of reach +of throwing random input at the harness, and well within reach of a fuzzer +that watches which comparisons it got past. So a campaign that does not +report the canary is not exploring, and the silence of the others would mean +nothing. Round five believed a ThreadSanitizer zero that meant nothing and +round ten twice believed a scrubbing zero that meant nothing; this is cheaper +than learning it a third time. + +The corpus is seeded with inputs each harness accepts -- a signature that +verifies, the same with one bit of the message moved, a point that is on the +curve, a ciphertext that authenticates -- so that a campaign starts from the +far side of the checks rather than in front of them. They were generated by +running the primitives, and checked: the valid signature verifies, the +tampered one does not, the point is on the curve. + +Where clang has no libFuzzer runtime -- Apple's does not -- run.sh replays the +corpus and a deterministic stream through standalone.c instead. That says the +harnesses build and run clean under the sanitizers. It explores nothing, and +it says so rather than reporting a pass. diff --git a/cbits/tests/fuzz/corpus/aead-authentic.bin b/cbits/tests/fuzz/corpus/aead-authentic.bin new file mode 100644 Binary files /dev/null and b/cbits/tests/fuzz/corpus/aead-authentic.bin differ diff --git a/cbits/tests/fuzz/corpus/ed25519-tampered.bin b/cbits/tests/fuzz/corpus/ed25519-tampered.bin new file mode 100644 Binary files /dev/null and b/cbits/tests/fuzz/corpus/ed25519-tampered.bin differ diff --git a/cbits/tests/fuzz/corpus/ed25519-valid.bin b/cbits/tests/fuzz/corpus/ed25519-valid.bin new file mode 100644 Binary files /dev/null and b/cbits/tests/fuzz/corpus/ed25519-valid.bin differ diff --git a/cbits/tests/fuzz/corpus/p256-on-curve.bin b/cbits/tests/fuzz/corpus/p256-on-curve.bin new file mode 100644 Binary files /dev/null and b/cbits/tests/fuzz/corpus/p256-on-curve.bin differ diff --git a/cbits/tests/fuzz/fuzz.h b/cbits/tests/fuzz/fuzz.h new file mode 100644 --- /dev/null +++ b/cbits/tests/fuzz/fuzz.h @@ -0,0 +1,34 @@ +/* Feeding generated bytes to the code that parses what comes off the wire. + * + * Each harness is an LLVMFuzzerTestOneInput, so a real fuzzer drives it. + * Where there is no fuzzer -- Apple's clang ships no libFuzzer runtime -- + * standalone.c supplies a main that replays the committed corpus and then a + * deterministic stream of its own, which says the harness is wired up + * correctly and nothing about coverage. + * + * What is being looked for is memory safety, not wrong answers: these inputs + * are meant to be rejected, and the question is how they are rejected. + */ +#ifndef CRYPTON_TESTS_FUZZ_H +#define CRYPTON_TESTS_FUZZ_H + +#include +#include +#include + +int LLVMFuzzerTestOneInput(const uint8_t *data, size_t size); + +/* Carve a fixed-width field out of the input. Short input means the harness + * returns rather than reading past the end, which is the harness's own bug to + * avoid and not the library's to report. */ +static int fz_take(const uint8_t **p, size_t *left, void *out, size_t n) +{ + if (*left < n) + return 0; + memcpy(out, *p, n); + *p += n; + *left -= n; + return 1; +} + +#endif diff --git a/cbits/tests/fuzz/fuzz_aead.c b/cbits/tests/fuzz/fuzz_aead.c new file mode 100644 --- /dev/null +++ b/cbits/tests/fuzz/fuzz_aead.c @@ -0,0 +1,60 @@ +/* AES-GCM decryption, where the lengths and the tag are the sender's to + * choose. The key is not attacker-controlled and is fixed here; what varies + * is everything that arrives with the message. */ +#include "tests/fuzz/fuzz.h" +#include +#include "crypton_aes.h" + +int LLVMFuzzerTestOneInput(const uint8_t *data, size_t size) +{ + static const uint8_t key[16] = { + 0x9e, 0x37, 0x79, 0xb9, 0x7f, 0x4a, 0x7c, 0x15, + 0xf3, 0x9c, 0xc0, 0x60, 0x5c, 0xed, 0xc8, 0x34, + }; + aes_key k; + aes_gcm_key gk; + uint8_t ivlen, aadlen, taglen; + const uint8_t *p = data; + size_t left = size; + uint8_t *out; + + if (!fz_take(&p, &left, &ivlen, 1)) + return 0; + if (!fz_take(&p, &left, &aadlen, 1)) + return 0; + if (!fz_take(&p, &left, &taglen, 1)) + return 0; + + /* the three lengths are the sender's, so they are taken as they come, + * short of asking for more bytes than arrived */ + if (left < (size_t)ivlen + aadlen) + return 0; + taglen = (uint8_t)(taglen % 17); /* 0..16, as the API allows */ + + { + const uint8_t *iv = p; + const uint8_t *aad = p + ivlen; + const uint8_t *ct = p + ivlen + aadlen; + size_t rest = left - ivlen - aadlen; + const uint8_t *tag; + size_t ctlen; + + /* the tag arrives with the message, so it comes off the end */ + if (rest < taglen) + return 0; + ctlen = rest - taglen; + tag = ct + ctlen; + + out = (uint8_t *)malloc(ctlen + 1); + if (!out) + return 0; + crypton_aes_initkey(&k, (uint8_t *)key, sizeof key); + crypton_aes_gcm_key_init(&gk, &k); + (void)crypton_aes_gcm_full_decrypt(out, &gk, &k, (uint8_t *)iv, ivlen, + (uint8_t *)aad, aadlen, + (uint8_t *)ct, (uint32_t)ctlen, + tag, taglen); + free(out); + } + return 0; +} diff --git a/cbits/tests/fuzz/fuzz_canary.c b/cbits/tests/fuzz/fuzz_canary.c new file mode 100644 --- /dev/null +++ b/cbits/tests/fuzz/fuzz_canary.c @@ -0,0 +1,41 @@ +/* The calibration. This harness reads one byte past a buffer when the input + * opens with a four-byte marker. Four bytes is the point: one chance in + * 2^32 puts it out of reach of throwing random input at the harness, while a + * fuzzer that watches which comparisons it got past finds it in seconds. So + * a campaign that does not report this one is not fuzzing, and the silence of + * the harnesses beside it means nothing. + * + * Round five believed a ThreadSanitizer zero that meant nothing, and round + * ten twice believed a scrubbing zero that meant nothing. This is cheaper + * than learning it a third time. + * + * Replaying the corpus is not expected to reach it, and run.sh says so. + */ +#include "tests/fuzz/fuzz.h" +#include + +int LLVMFuzzerTestOneInput(const uint8_t *data, size_t size) +{ + uint8_t *buf; + int r; + + if (size < 5) + return 0; + if (data[0] != 0xde || data[1] != 0xad) + return 0; + if (data[2] != 0xbe || data[3] != 0xef) + return 0; + + /* On the heap, not the stack. A compiler that can see the size of a + * local can also see that reading past it is undefined and remove the + * read, which is what the first attempt at this did: the campaign found + * nothing because by then there was nothing left to find. It cannot + * reason that way about what malloc returned. */ + buf = (uint8_t *)malloc(16); + if (!buf) + return 0; + memset(buf, 0, 16); + r = buf[16] == data[4] ? 1 : 0; /* deliberately one past the end */ + free(buf); + return r; +} diff --git a/cbits/tests/fuzz/fuzz_decaf.c b/cbits/tests/fuzz/fuzz_decaf.c new file mode 100644 --- /dev/null +++ b/cbits/tests/fuzz/fuzz_decaf.c @@ -0,0 +1,40 @@ +/* Decoding a point and verifying an Ed448 signature, both from bytes that + * came from somewhere else. point_decode validates; the EdDSA decode is the + * first thing a verifier does with a public key. */ +#include "tests/fuzz/fuzz.h" +#include "decaf/point_448.h" +#include "decaf/ed448.h" + +int LLVMFuzzerTestOneInput(const uint8_t *data, size_t size) +{ + uint8_t ser[CRYPTON_DECAF_448_SER_BYTES]; + uint8_t pub[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES]; + uint8_t sig[CRYPTON_DECAF_EDDSA_448_SIGNATURE_BYTES]; + crypton_decaf_448_point_t pt; + const uint8_t *p = data; + size_t left = size; + uint8_t selector; + + if (!fz_take(&p, &left, &selector, 1)) + return 0; + + if (selector & 1) { + if (!fz_take(&p, &left, ser, sizeof ser)) + return 0; + (void)crypton_decaf_448_point_decode(pt, ser, selector & 2 ? 1 : 0); + return 0; + } + + if (!fz_take(&p, &left, pub, sizeof pub)) + return 0; + if (selector & 2) { + (void)crypton_decaf_448_point_decode_like_eddsa_and_mul_by_ratio(pt, pub); + return 0; + } + if (!fz_take(&p, &left, sig, sizeof sig)) + return 0; + /* a context of at most 255 bytes, as the API takes a uint8_t length */ + (void)crypton_decaf_ed448_verify(sig, pub, p, left, selector & 4 ? 1 : 0, + NULL, 0); + return 0; +} diff --git a/cbits/tests/fuzz/fuzz_ed25519.c b/cbits/tests/fuzz/fuzz_ed25519.c new file mode 100644 --- /dev/null +++ b/cbits/tests/fuzz/fuzz_ed25519.c @@ -0,0 +1,22 @@ +/* Ed25519 signature verification: the public key and the signature are both + * whatever the sender chose, and both are decoded before anything is + * checked. */ +#include "tests/fuzz/fuzz.h" +#include "ed25519/ed25519.h" + +int LLVMFuzzerTestOneInput(const uint8_t *data, size_t size) +{ + ed25519_public_key pk; + ed25519_signature sig; + const uint8_t *p = data; + size_t left = size; + + if (!fz_take(&p, &left, pk, sizeof pk)) + return 0; + if (!fz_take(&p, &left, sig, sizeof sig)) + return 0; + + /* whatever is left is the message */ + (void)crypton_ed25519_sign_open(p, left, pk, sig); + return 0; +} diff --git a/cbits/tests/fuzz/fuzz_p256.c b/cbits/tests/fuzz/fuzz_p256.c new file mode 100644 --- /dev/null +++ b/cbits/tests/fuzz/fuzz_p256.c @@ -0,0 +1,33 @@ +/* A P-256 point as it arrives: two field elements, checked for being on the + * curve, and then multiplied if they are. */ +#include "tests/fuzz/fuzz.h" +#include "p256/p256.h" + +void crypton_p256e_point_mul(const crypton_p256_int *n, + const crypton_p256_int *ix, const crypton_p256_int *iy, + crypton_p256_int *ox, crypton_p256_int *oy); + +int LLVMFuzzerTestOneInput(const uint8_t *data, size_t size) +{ + uint8_t xb[P256_NBYTES], yb[P256_NBYTES], nb[P256_NBYTES]; + crypton_p256_int x, y, n, ox, oy; + const uint8_t *p = data; + size_t left = size; + + if (!fz_take(&p, &left, xb, sizeof xb)) + return 0; + if (!fz_take(&p, &left, yb, sizeof yb)) + return 0; + if (!fz_take(&p, &left, nb, sizeof nb)) + return 0; + + crypton_p256_from_bin(xb, &x); + crypton_p256_from_bin(yb, &y); + crypton_p256_from_bin(nb, &n); + + if (crypton_p256_is_valid_point(&x, &y)) { + crypton_p256_mod(&crypton_SECP256r1_n, &n, &n); + crypton_p256e_point_mul(&n, &x, &y, &ox, &oy); + } + return 0; +} diff --git a/cbits/tests/fuzz/run.sh b/cbits/tests/fuzz/run.sh new file mode 100644 --- /dev/null +++ b/cbits/tests/fuzz/run.sh @@ -0,0 +1,132 @@ +#!/bin/sh +# Generated bytes fed to the code that parses what comes off the wire. +# +# Each harness is an LLVMFuzzerTestOneInput. With a clang that has the +# libFuzzer runtime, each gets a bounded campaign under ASan and UBSan; with +# one that does not -- Apple's, for instance -- standalone.c replays the +# corpus and a deterministic stream instead, which says the harnesses are +# wired up and nothing about coverage, and says so. +# +# fuzz_canary reads one byte past a buffer when the input opens with four +# particular bytes. One chance in 2^32 puts that out of reach of random +# input and well within reach of a fuzzer that watches which comparisons it +# got past, so a campaign that does not report it is not fuzzing, and the +# silence of the others would mean nothing. +# +# Usage: cbits/tests/fuzz/run.sh [seconds-per-harness] [build-dir] +set -eu + +root=$(CDPATH= cd -- "$(dirname -- "$0")/../../.." && pwd) +secs=${1:-30} +out=${2:-$(mktemp -d)} +cc=${CC:-cc} +mkdir -p "$out" +cd "$root" + +D=cbits/decaf +san="-fsanitize=address,undefined -fno-sanitize-recover=all" + +sources_for() { + case $1 in + canary) echo "" ;; + ed25519) echo "cbits/ed25519/ed25519.c cbits/crypton_sha512.c" ;; + p256) echo "cbits/p256/p256.c cbits/p256/p256_ec.c" ;; + aead) echo "cbits/crypton_aes.c cbits/aes/generic.c cbits/aes/gf.c" ;; + decaf) echo "$D/ed448goldilocks/decaf_all.c $D/ed448goldilocks/eddsa.c + $D/ed448goldilocks/scalar.c $D/p448/f_arithmetic.c + $D/p448/f_generic.c $D/utils.c + $D/p448/arch_ref64/f_impl.c cbits/crypton_sha3.c" ;; + esac +} +includes_for() { + case $1 in + ed25519) echo "-Icbits/ed25519" ;; + decaf) echo "-DCRYPTON_DECAF_WORD_BITS=64 -I$D/include -I$D/p448 + -I$D/include/arch_ref64 -I$D/p448/arch_ref64" ;; + *) echo "" ;; + esac +} + +# Is there a libFuzzer to drive these? +have_fuzzer=no +printf '#include \n#include \nint LLVMFuzzerTestOneInput(const uint8_t *d, size_t n){(void)d;(void)n;return 0;}\n' \ + > "$out/probe.c" +if $cc -fsanitize=fuzzer,address -o "$out/probe" "$out/probe.c" 2>/dev/null; then + have_fuzzer=yes +fi + +status=0 +harnesses="canary ed25519 decaf p256 aead" + +for h in $harnesses; do + # shellcheck disable=SC2046,SC2086 + $cc -O1 -g $san $(test $have_fuzzer = yes && echo -fsanitize=fuzzer) \ + -Icbits -Icbits/include64 $(includes_for $h) \ + -o "$out/fuzz_$h" "cbits/tests/fuzz/fuzz_$h.c" \ + $(test $have_fuzzer = no && echo cbits/tests/fuzz/standalone.c) \ + $(sources_for $h) 2> "$out/$h.cc" || { + echo "FAIL $h did not build"; sed -n '1,12p' "$out/$h.cc"; status=1; continue + } + + if [ $have_fuzzer = no ]; then + "$out/fuzz_$h" cbits/tests/fuzz/corpus 20000 > "$out/$h.log" 2>&1 || true + if grep -qE "ERROR: |runtime error:" "$out/$h.log"; then + echo "FOUND $h: the sanitizers reported on replayed input" + grep -m1 -E "ERROR: |runtime error:" "$out/$h.log" | sed 's/^/ /' + status=1 + else + echo "ran $h ($(tail -1 "$out/$h.log"))" + fi + continue + fi + + mkdir -p "$out/corpus-$h" + cp cbits/tests/fuzz/corpus/* "$out/corpus-$h/" 2>/dev/null || true + # -use_value_profile records the operands of comparisons, which is how a + # fuzzer gets past a check for particular bytes rather than waiting for + # them to come up at random. The canary is exactly that check, and the + # parsers here are full of them. + "$out/fuzz_$h" "$out/corpus-$h" -max_total_time="$secs" \ + -use_value_profile=1 -print_final_stats=1 \ + > "$out/$h.log" 2>&1 || true + + # What a find looks like. AddressSanitizer writes "ERROR:", but + # UndefinedBehaviorSanitizer writes "runtime error:" and nothing else, + # so a detector that waits for "ERROR:" reads a campaign that found the + # canary as one that found nothing -- which is what the first three + # attempts at this file did. libFuzzer's own line is the one that + # covers every case: it writes the input out whatever reported. + found=no + grep -qE "Test unit written to|ERROR: |runtime error:|deadly signal" \ + "$out/$h.log" && found=yes + + if [ "$h" = canary ]; then + if [ $found = no ]; then + echo "FAIL canary: the harness that reads out of bounds on a" + echo " four-byte marker was not found in ${secs}s, so this" + echo " campaign is not exploring and nothing below counts." + echo " What it did do:" + tail -12 "$out/$h.log" | sed 's/^/ /' + status=1 + else + echo "ok canary: found, so the campaign explores" + fi + continue + fi + + if [ $found = yes ]; then + echo "FOUND $h: the sanitizers reported" + grep -m1 -E "ERROR: |runtime error:|deadly signal" "$out/$h.log" | + sed 's/^/ /' + sed -n '/#0 /,/#8 /p' "$out/$h.log" | head -12 | sed 's/^/ /' + status=1 + else + echo "ok $h: $(grep -oE 'stat::number_of_executed_units: *[0-9]+' \ + "$out/$h.log" | grep -oE '[0-9]+' | tail -1) inputs, nothing reported" + fi +done + +if [ $have_fuzzer = no ]; then + echo "skip $cc has no libFuzzer, so the corpus was replayed and nothing explored" +fi +exit $status diff --git a/cbits/tests/fuzz/standalone.c b/cbits/tests/fuzz/standalone.c new file mode 100644 --- /dev/null +++ b/cbits/tests/fuzz/standalone.c @@ -0,0 +1,66 @@ +/* A main for the harnesses, for where there is no fuzzer. + * + * Apple's clang ships no libFuzzer runtime, so this replays the committed + * corpus and then a deterministic stream of generated inputs. That says the + * harness is wired up and that the sanitizers are clean on what it feeds -- + * it is not a fuzzing campaign and does not explore anything. The campaign + * runs in CI, where clang has the runtime. + */ +#include +#include +#include +#include +#include + +int LLVMFuzzerTestOneInput(const uint8_t *data, size_t size); + +static uint64_t s0 = 0x243f6a8885a308d3ULL, s1 = 0x13198a2e03707344ULL; +static uint64_t rnd(void) +{ + uint64_t x = s0, y = s1; + s0 = y; + x ^= x << 23; + s1 = x ^ y ^ (x >> 17) ^ (y >> 26); + return s1 + y; +} + +int main(int argc, char **argv) +{ + static uint8_t buf[4096]; + long rounds = argc > 2 ? strtol(argv[2], NULL, 10) : 20000; + long i; + int replayed = 0; + + if (argc > 1) { + DIR *d = opendir(argv[1]); + struct dirent *e; + if (d) { + while ((e = readdir(d)) != NULL) { + char path[1024]; + FILE *f; + size_t n; + if (e->d_name[0] == '.') + continue; + snprintf(path, sizeof path, "%s/%s", argv[1], e->d_name); + f = fopen(path, "rb"); + if (!f) + continue; + n = fread(buf, 1, sizeof buf, f); + fclose(f); + LLVMFuzzerTestOneInput(buf, n); + replayed++; + } + closedir(d); + } + } + + for (i = 0; i < rounds; i++) { + size_t n = (size_t)(rnd() % sizeof buf); + size_t j; + for (j = 0; j < n; j++) + buf[j] = (uint8_t)(rnd() >> 24); + LLVMFuzzerTestOneInput(buf, n); + } + printf("replayed %d corpus input(s), then %ld generated\n", replayed, rounds); + return 0; +} diff --git a/cbits/tests/perf/floors.txt b/cbits/tests/perf/floors.txt new file mode 100644 --- /dev/null +++ b/cbits/tests/perf/floors.txt @@ -0,0 +1,22 @@ +# A primitive that falls off its accelerated path does not get a little +# slower, it falls off a cliff: #274 took SHA-256 from 3396 MB/s to 644 on an +# Apple M4, a factor of five, and no test noticed because the answers stayed +# right. +# +# Absolute numbers cannot be checked here. ubuntu-latest is not one machine +# -- EPYC 7763, EPYC 9V74, Xeon 8370C and Xeon 6973P-C have all turned up, and +# the ones with AVX-512 differ from the ones without by more than twofold on +# AES-GCM. So each line is a ratio between two primitives measured in the +# same run on the same machine, with a floor generous enough that only a cliff +# reaches it. +# +# faster slower floor what it would catch +# +# Measured for the floors: an M4 gives 1.00, 0.56, 4.04 and 0.58 for the four +# below; an EPYC 7763 gives 0.94, 0.46, 2.75 and 0.55. Every floor is less +# than half of both, and #274 put the first at 0.19. + +sha256 sha1 0.40 SHA-256 off the SHA-2 instructions +sha512 sha1 0.20 SHA-512 off its assembly +aes128gcm chachapoly 1.00 AES-GCM off AES-NI or the ARMv8 AES instructions +sha3-256 sha512 0.25 SHA-3 off the SHA-3 instructions diff --git a/cbits/tests/perf/run.sh b/cbits/tests/perf/run.sh new file mode 100644 --- /dev/null +++ b/cbits/tests/perf/run.sh @@ -0,0 +1,102 @@ +#!/bin/sh +# Watching for a primitive that has fallen off its accelerated path. +# +# #274 took SHA-256 from 3396 MB/s to 644 on an Apple M4 and shipped, because +# the answers were right and only the speed was wrong. No test can catch +# that; this is what does. +# +# What it checks is ratios between primitives measured in the same run, not +# absolute throughput, because the runner is not the same machine twice -- +# see cbits/tests/perf/floors.txt. A ratio is only useful against a cliff; +# this will not notice a few per cent, and is not meant to. +# +# The last thing it does is build the library again with the AES acceleration +# turned off and check that the AES line then fails. Without that, a run +# where the measurement had quietly stopped working would look exactly like a +# run where everything was fast. +# +# Usage: cbits/tests/perf/run.sh [build-dir] +set -eu + +root=$(CDPATH= cd -- "$(dirname -- "$0")/../../.." && pwd) +out=${1:-$(mktemp -d)} +cc=${CC:-cc} +mkdir -p "$out" +cd "$root" + +# The harness links against the library as cabal built it, so that what is +# measured is the configuration the package actually ships. +build_harness() { + builddir=$1; bin=$2; shift 2 + cabal build lib:crypton --builddir="$builddir" -v0 "$@" > /dev/null + archive=$(find "$builddir" -name 'libHScrypton-*.a' | head -1) + test -n "$archive" || { echo "no library archive under $builddir"; exit 1; } + $cc -O3 -Icbits -Icbits/include64 -Icbits/include32 \ + -o "$bin" cbits/tests/perf/throughput.c "$archive" 2>/dev/null || + $cc -O3 -Icbits -Icbits/include64 \ + -o "$bin" cbits/tests/perf/throughput.c "$archive" +} + +measure() { + best=0 + for _ in 1 2 3; do + v=$("$1" "$2" 2>/dev/null || echo 0) + best=$(awk -v a="$best" -v b="$v" 'BEGIN{print (b>a)?b:a}') + done + echo "$best" +} + +# Every ratio in floors.txt, against the binary named. Prints one line each +# and returns the number that were under the floor. +check() { + bin=$1; label=$2; quiet=${3:-no} + bad=0 + while read -r fast slow floor _rest; do + case "$fast" in ''|\#*) continue ;; esac + a=$(measure "$bin" "$fast") + b=$(measure "$bin" "$slow") + r=$(awk -v a="$a" -v b="$b" 'BEGIN{printf "%.2f", (b>0)?a/b:0}') + under=$(awk -v r="$r" -v f="$floor" 'BEGIN{print (r +#include +#include +#include +#include + +#include "crypton_aes.h" +#include "crypton_sha1.h" +#include "crypton_sha256.h" +#include "crypton_sha512.h" +#include "crypton_sha3.h" +#include "crypton_chacha.h" +#include "crypton_poly1305.h" + +#define LEN 16384 +#define REPS 12 + +static uint8_t inb[LEN], outb[LEN + 64]; +static uint64_t sink; + +static double now_us(void) +{ + struct timespec ts; + clock_gettime(CLOCK_MONOTONIC, &ts); + return ts.tv_sec * 1e6 + ts.tv_nsec / 1e3; +} + +static void bench_gcm(int keybits, int iters) +{ + aes_key key; + aes_gcm gcm; + uint8_t kb[32], iv[12], tag[16]; + int i; + for (i = 0; i < 32; i++) kb[i] = (uint8_t)(i * 7); + for (i = 0; i < 12; i++) iv[i] = (uint8_t)(i + 3); + crypton_aes_initkey(&key, kb, keybits / 8); + crypton_aes_gcm_init(&gcm, &key, iv, 12); + for (i = 0; i < iters; i++) { + crypton_aes_gcm_encrypt(outb, &gcm, &key, inb, LEN); + sink += outb[i & 1023]; + } + crypton_aes_gcm_finish(tag, &gcm, &key); + sink += tag[0]; +} + +static void bench_chachapoly(int iters) +{ + crypton_chacha_context ctx; + poly1305_ctx pctx; + poly1305_key pkey; + poly1305_mac mac; + uint8_t kb[32], iv[12]; + int i; + for (i = 0; i < 32; i++) kb[i] = (uint8_t)(i * 5); + for (i = 0; i < 12; i++) iv[i] = (uint8_t)(i + 1); + memcpy(&pkey, kb, sizeof(pkey)); + for (i = 0; i < iters; i++) { + crypton_chacha_init(&ctx, 20, 32, kb, 12, iv); + crypton_chacha_combine(outb, &ctx, inb, LEN); + crypton_poly1305_init(&pctx, &pkey); + crypton_poly1305_update(&pctx, outb, LEN); + crypton_poly1305_finalize(mac, &pctx); + sink += mac[0] + outb[i & 1023]; + } +} + +static void bench_sha1(int iters) +{ + struct sha1_ctx c; + uint8_t out[20]; + int i; + for (i = 0; i < iters; i++) { + crypton_sha1_init(&c); + crypton_sha1_update(&c, inb, LEN); + crypton_sha1_finalize(&c, out); + sink += out[0]; + } +} + +static void bench_sha256(int iters) +{ + struct sha256_ctx c; + uint8_t out[32]; + int i; + for (i = 0; i < iters; i++) { + crypton_sha256_init(&c); + crypton_sha256_update(&c, inb, LEN); + crypton_sha256_finalize(&c, out); + sink += out[0]; + } +} + +static void bench_sha512(int iters) +{ + struct sha512_ctx c; + uint8_t out[64]; + int i; + for (i = 0; i < iters; i++) { + crypton_sha512_init(&c); + crypton_sha512_update(&c, inb, LEN); + crypton_sha512_finalize(&c, out); + sink += out[0]; + } +} + +static void bench_sha3(int iters) +{ + /* sha3_ctx ends in a flexible array the caller provides room for. */ + uint8_t raw[SHA3_CTX_BUF_MAX_SIZE]; + struct sha3_ctx *c = (struct sha3_ctx *)raw; + uint8_t out[32]; + int i; + for (i = 0; i < iters; i++) { + crypton_sha3_init(c, 256); + crypton_sha3_update(c, inb, LEN); + crypton_sha3_finalize(c, 256, out); + sink += out[0]; + } +} + +int main(int argc, char **argv) +{ + const char *algo = argc > 1 ? argv[1] : "sha256"; + int iters = 2000, r, i; + double best = 1e30; + + for (i = 0; i < LEN; i++) inb[i] = (uint8_t)(i * 17 + 3); + + for (r = 0; r < REPS; r++) { + double t0 = now_us(), t1; + if (!strcmp(algo, "aes128gcm")) bench_gcm(128, iters); + else if (!strcmp(algo, "aes256gcm")) bench_gcm(256, iters); + else if (!strcmp(algo, "chachapoly")) bench_chachapoly(iters); + else if (!strcmp(algo, "sha1")) bench_sha1(iters); + else if (!strcmp(algo, "sha256")) bench_sha256(iters); + else if (!strcmp(algo, "sha512")) bench_sha512(iters); + else if (!strcmp(algo, "sha3-256")) bench_sha3(iters); + else { fprintf(stderr, "unknown algo %s\n", algo); return 2; } + t1 = now_us(); + if (r > 1 && t1 - t0 < best) best = t1 - t0; + } + if (sink == 0) return 3; + printf("%.1f\n", (double)LEN * iters / best); /* bytes/us == MB/s */ + return 0; +} diff --git a/cbits/tests/scrub/README b/cbits/tests/scrub/README new file mode 100644 --- /dev/null +++ b/cbits/tests/scrub/README @@ -0,0 +1,53 @@ +What is left in memory after a secret has been through it. + +Round eight asked whether a secret can be read from the time a primitive +takes. This asks whether it can be read from the memory afterwards. The +stack below a returning function is not erased -- it is simply no longer +addressed -- and a context handed back to a caller is whatever the primitive +left in it, so a later core file, crash dump or swapped page can carry a key +away long after the caller believes it is done with it. + +Each probe paints the stack with a filler, runs a primitive on an +unmistakable secret, copies the painted region away before anything can +disturb it, and looks for the pattern. Two things are asked separately: + + scratch what the primitive left below the caller's frame, in its own + working memory + context what it left in the context object the caller still holds, which + is on the heap here as it is in crypton + +The first probe keeps the secret on purpose and has to be found. That is not +ceremony: the first two versions of this file reported that nothing was ever +left behind, including by that probe, and both times the search was at fault. +Once because the probed function was inlined into its caller, so its locals +sat in a live frame rather than an abandoned one; once because the loop that +copies the region away was turned into a call to memcpy, whose own frame +landed exactly on the evidence. + +What this can say and what it cannot +------------------------------------ + +It finds a secret that survives *as it was handed over*. It cannot find one +that survives transformed, and the difference matters: Poly1305 reports +nothing, but its finalize clears nothing either -- the key is clamped into r +and pad, so it is still there and simply not byte-for-byte what was passed in. +Read "no verbatim copy" as exactly that and no more. + +What it found +------------- + +Nothing survives in any primitive's own scratch. The RSA exponentiation is +clean, which is worth saying because crypton_powm_sec memsets its table and +then frees it, and a compiler is entitled to drop a store to memory that is +about to die. clang at -O2 keeps it -- the bzero is still there in the +assembly, two instructions before the free -- but that is the compiler's +choice rather than a guarantee, and explicit_bzero exists for this. + +Three contexts keep the secret as it was given: SHA-256, SHA-512 and +ChaCha20. The hash ones hold the buffered message, the ChaCha one holds the +key. Nothing clears any of them, in the C or in the Haskell above it, where +Context is Bytes rather than ScrubbedBytes -- and hashFinalize copies the +context before finalizing, so there are two of them per digest. They are +listed in known.txt; whether to clear them is a question about what a context +means after it is finished with, and about the cost of scrubbing every hash, +rather than something to settle here. diff --git a/cbits/tests/scrub/known.txt b/cbits/tests/scrub/known.txt new file mode 100644 --- /dev/null +++ b/cbits/tests/scrub/known.txt @@ -0,0 +1,16 @@ +# Places that keep a secret as it was handed over, which are known and not +# treated as defects here. A probe reporting only these passes; anything +# else fails. + +# A hash context buffers the message a block at a time, so hashing a secret +# leaves it in the context. Nothing clears it: crypton_sha256_finalize and +# its siblings compute the digest and return, and the Haskell side holds the +# context as Bytes rather than ScrubbedBytes, so it is not cleared there +# either. hashFinalize copies the context before finalizing it, so there are +# two such objects per digest rather than one. +sha256 context +sha512 context + +# crypton_chacha_init copies the key into the state, where it stays for the +# life of the context. +chacha20 context diff --git a/cbits/tests/scrub/run.sh b/cbits/tests/scrub/run.sh new file mode 100644 --- /dev/null +++ b/cbits/tests/scrub/run.sh @@ -0,0 +1,30 @@ +#!/bin/sh +# What is left on the stack after a secret has been through it. +# +# The stack below a returning function is not erased -- it is simply no longer +# addressed -- so whatever a primitive kept there stays until something else +# writes over it, and a later core file or swapped page carries it away. +# +# The driver paints the stack, runs each primitive on an unmistakable secret, +# copies the painted region away before anything can disturb it, and looks for +# the pattern. The first probe keeps the secret on purpose and has to be +# found; if it is not, the search is looking somewhere the calls do not use +# and no other result counts. +# +# Not run under the sanitizers: reading the stack below the current frame is +# exactly what this does, and ASan calls that an error. +# +# Usage: cbits/tests/scrub/run.sh [build-dir] +set -eu + +root=$(CDPATH= cd -- "$(dirname -- "$0")/../../.." && pwd) +out=${1:-$(mktemp -d)} +cc=${CC:-cc} +mkdir -p "$out" +cd "$root" + +$cc -O2 -Icbits -Icbits/include64 -o "$out/scrub" cbits/tests/scrub/scrub.c \ + cbits/crypton_sha256.c cbits/crypton_sha512.c cbits/crypton_chacha.c \ + cbits/crypton_poly1305.c cbits/crypton_powm.c + +"$out/scrub" diff --git a/cbits/tests/scrub/scrub.c b/cbits/tests/scrub/scrub.c new file mode 100644 --- /dev/null +++ b/cbits/tests/scrub/scrub.c @@ -0,0 +1,271 @@ +/* What is left on the stack after a secret has been through it. + * + * The stack below a returning function is not erased -- it is simply no + * longer addressed -- so whatever the function kept there stays until + * something else writes over it. For a hash context or a key schedule that + * means a copy of the key can outlive every object the caller thinks holds + * it, and a later crash dump, core file or swapped page carries it away. + * + * So: paint the stack with a filler, run the primitive on a secret made of + * an unmistakable pattern, copy the painted region somewhere else before + * anything can disturb it, and look for the pattern in the copy. A hit is a + * place where the secret outlived the call. + * + * The region examined is below this file's own frame, so the driver's own + * copy of the secret is not what is being found. + */ +#include +#include +#include +#include + +/* Each probed function needs a frame of its own: inlined into probe, its + * locals would sit in a live frame rather than an abandoned one, and finding + * them there would mean nothing. That cost the first attempt at this file. */ +#if defined(__GNUC__) || defined(__clang__) +#define NOINLINE __attribute__((noinline)) +#else +#define NOINLINE +#endif + +/* 32 bytes that nothing else would produce */ +static const uint8_t SECRET[32] = { + 0x9e, 0x37, 0x79, 0xb9, 0x7f, 0x4a, 0x7c, 0x15, + 0xf3, 0x9c, 0xc0, 0x60, 0x5c, 0xed, 0xc8, 0x34, + 0x1a, 0x2e, 0x8f, 0x5b, 0xd7, 0x06, 0x41, 0x92, + 0xc3, 0x58, 0xe6, 0x70, 0xb1, 0x24, 0xaf, 0x8d, +}; + +#define REGION (512 * 1024) +#define FILLER 0x5a + +/* Write the filler over the stack the primitive is about to use. Recursion + * rather than one large frame, so that the compiler cannot decide the whole + * thing is dead and skip it. */ +static void paint(int depth) { + volatile uint8_t pad[8192]; + size_t i; + for (i = 0; i < sizeof pad; i++) pad[i] = FILLER; + if (depth > 0) paint(depth - 1); +} + +/* How many times the pattern appears in the copy. A run of the filler is + * what is expected; anything else is what was left behind. */ +static int count_hits(const uint8_t *hay, size_t n, const uint8_t *needle, + size_t m) { + size_t i; + int hits = 0; + if (n < m) return 0; + for (i = 0; i + m <= n; i++) + if (hay[i] == needle[0] && memcmp(hay + i, needle, m) == 0) hits++; + return hits; +} + +static uint8_t *snapshot; +static int failures, checked; + +/* The context a primitive is handed, on the heap where crypton's own callers + * put it. After the call it is looked at directly: whatever is still in it + * is what the caller is left holding. */ +static void *ctx_mem; +static size_t ctx_len; + +/* known.txt lists the places that keep the secret and are understood. A + * probe that reports only those passes; anything else is new and fails. */ +static int is_known(const char *name, const char *what) { + char line[256], want[128]; + FILE *f = fopen("cbits/tests/scrub/known.txt", "r"); + int found = 0; + if (!f) return 0; + snprintf(want, sizeof want, "%s %s", name, what); + while (fgets(line, sizeof line, f)) { + char a[64], b[64]; + if (line[0] == '#' || sscanf(line, "%63s %63s", a, b) != 2) continue; + if (strcmp(a, name) == 0 && strcmp(b, what) == 0) { found = 1; break; } + } + fclose(f); + return found; +} + +/* Run one primitive and report what it left. The callback is handed the + * secret and is expected to use it and return. */ +static void probe(const char *name, void (*run)(const uint8_t *, size_t), + size_t look_for) { + volatile uint8_t here; + const uint8_t *low; + int hits; + + paint(24); /* about 200 KB of filler */ + run(SECRET, sizeof SECRET); + + /* Everything below this frame is what the call used. Copied with a + * loop rather than memcpy: a call pushes a frame exactly where the one + * being examined was, and would erase the top of the evidence before it + * could be read. That is how the first version of this reported that + * nothing was ever left behind, including by the canary. */ + low = (const uint8_t *)&here - REGION; + { + /* volatile, or the compiler recognises the loop and emits memcpy -- + * which is the call this loop exists to avoid. That cost the first + * two attempts at this file. */ + const volatile uint8_t *v = low; + size_t k; + for (k = 0; k < REGION; k++) snapshot[k] = v[k]; + } + + hits = count_hits(snapshot, REGION, SECRET, look_for); + checked++; + if (strcmp(name, "canary") == 0) { + if (hits == 0) { + printf("FAIL canary: the driver that keeps the secret on purpose\n" + " was not found, so nothing below this line counts\n"); + failures++; + } else { + printf("ok canary: found %d, so the search works\n", hits); + } + return; + } + /* two separate questions: what the primitive left in its own scratch, + and what it left in the context its caller still holds */ + if (hits == 0) { + printf("ok %-9s scratch: no verbatim copy below the frame\n", name); + } else if (is_known(name, "scratch")) { + printf("note %-9s scratch: %d verbatim copy(ies), known\n", name, hits); + } else { + printf("LEFT %-9s scratch: %d verbatim copy(ies) below the frame,\n" + " and cbits/tests/scrub/known.txt does not list it\n", + name, hits); + failures++; + } + if (ctx_len) { + int chits = count_hits((const uint8_t *)ctx_mem, ctx_len, SECRET, + look_for); + /* No hit is not the same as no secret. A primitive that stores the + key transformed -- Poly1305 clamps it into r and pad -- keeps key + material the search cannot see. All this can say is whether the + bytes survive as they were handed over. */ + if (chits == 0) { + printf("ok %-9s context: no verbatim copy of the secret\n", + name); + } else if (is_known(name, "context")) { + printf("note %-9s context: %d verbatim copy(ies), known\n", + name, chits); + } else { + printf("LEFT %-9s context: %d verbatim copy(ies) of the secret,\n" + " and cbits/tests/scrub/known.txt does not list it\n", + name, chits); + failures++; + } + ctx_len = 0; + } +} + +/* ---- the primitives ---------------------------------------------------- */ + +#include "crypton_sha256.h" +#include "crypton_sha512.h" +#include "crypton_chacha.h" +#include "crypton_poly1305.h" +#include "crypton_powm.h" + +NOINLINE static void run_sha256(const uint8_t *s, size_t n) { + struct sha256_ctx *ctx = ctx_mem; + uint8_t out[32]; + ctx_len = sizeof *ctx; + crypton_sha256_init(ctx); + crypton_sha256_update(ctx, s, (uint32_t)n); + crypton_sha256_finalize(ctx, out); + if (out[0] == 0xff && out[31] == 0xff) printf("unreachable\n"); +} + +NOINLINE static void run_sha512(const uint8_t *s, size_t n) { + struct sha512_ctx *ctx = ctx_mem; + uint8_t out[64]; + ctx_len = sizeof *ctx; + crypton_sha512_init(ctx); + crypton_sha512_update(ctx, s, (uint32_t)n); + crypton_sha512_finalize(ctx, out); + if (out[0] == 0xff && out[63] == 0xff) printf("unreachable\n"); +} + +NOINLINE static void run_chacha(const uint8_t *s, size_t n) { + crypton_chacha_context *ctx = ctx_mem; + uint8_t iv[8] = {1, 2, 3, 4, 5, 6, 7, 8}; + uint8_t out[64]; + ctx_len = sizeof *ctx; + crypton_chacha_init(ctx, 20, (uint32_t)n, s, sizeof iv, iv); + crypton_chacha_combine(out, ctx, out, sizeof out); + if (out[0] == 0xff && out[63] == 0xff) printf("unreachable\n"); +} + +NOINLINE static void run_poly1305(const uint8_t *s, size_t n) { + poly1305_ctx *ctx = ctx_mem; + poly1305_mac mac; + uint8_t msg[64]; + /* the key is handed over where it already lies, so that nothing of it is + put on this frame by the driver rather than by the library */ + (void)n; + memset(msg, 0x11, sizeof msg); + ctx_len = sizeof *ctx; + crypton_poly1305_init(ctx, (poly1305_key *)(void *)(uintptr_t)s); + crypton_poly1305_update(ctx, msg, sizeof msg); + crypton_poly1305_finalize(mac, ctx); + if (mac[0] == 0xff && mac[15] == 0xff) printf("unreachable\n"); +} + +/* The RSA private-key exponentiation. Its scratch is on the heap, but the + * windows it selects and the accumulators pass through the stack. */ +static uint8_t *powm_out, *powm_base, *powm_mod, *powm_exp; +NOINLINE static void run_powm(const uint8_t *s, size_t n) { + /* Everything is on the heap: the exponent because it is the secret and + must not be put on this frame by the driver, the rest to keep the + frame small enough that what is found below it came from the library. */ + enum { LEN = 128 }; + uint8_t *out = powm_out, *base = powm_base, *mod = powm_mod; + (void)s; (void)n; + if (crypton_powm_sec(out, base, LEN, powm_exp, LEN, mod, LEN) != 0) + printf("powm_sec refused\n"); + if (out[0] == 0xff && out[LEN - 1] == 0xff) printf("unreachable\n"); +} + +/* The calibration. This one keeps the secret on the stack on purpose, so it + * has to be found; if it is not, the painting or the snapshot is looking + * somewhere the calls do not use and every "ok" below means nothing. */ +NOINLINE static void run_canary(const uint8_t *s, size_t n) { + volatile uint8_t copy[128]; + size_t i; + for (i = 0; i < n && i < sizeof copy; i++) copy[i] = s[i]; + if (copy[0] == 0xff && copy[31] == 0xff) printf("unreachable\n"); +} + +int main(void) { + size_t i; + snapshot = malloc(REGION); + ctx_mem = malloc(4096); + powm_out = malloc(128); powm_base = malloc(128); + powm_mod = malloc(128); powm_exp = malloc(128); + if (!snapshot || !ctx_mem || !powm_out || !powm_base || !powm_mod || !powm_exp) return 2; + for (i = 0; i < 128; i++) { + powm_base[i] = (uint8_t)(i * 3 + 1); + powm_mod[i] = (uint8_t)(i * 5 + 7); + powm_exp[i] = SECRET[i % sizeof SECRET]; + } + powm_mod[0] |= 0x80; + powm_mod[127] |= 1; + powm_base[0] &= 0x7f; + + probe("canary", run_canary, 32); + probe("sha256", run_sha256, 32); + probe("sha512", run_sha512, 32); + probe("chacha20", run_chacha, 32); + probe("poly1305", run_poly1305, 16); + probe("powm_sec", run_powm, 32); + + free(snapshot); + if (failures) + printf("\n%d place(s) keep the secret and are not in known.txt\n", + failures); + else + printf("\nnothing keeps the secret that known.txt does not name\n"); + return failures != 0; +} diff --git a/cbits/tests/width/ed448_width.c b/cbits/tests/width/ed448_width.c new file mode 100644 --- /dev/null +++ b/cbits/tests/width/ed448_width.c @@ -0,0 +1,87 @@ +/* Ed448 and X448 asked of the 32-bit field arithmetic and of the 64-bit one. + Only the f_impl.c under p448/arch_32 or p448/arch_ref64, and the two arch + include directories, differ between the builds; everything above them is + the same source. */ +#include +#include +#include +#include "decaf/ed448.h" +#include "decaf/point_448.h" + +static uint64_t s0 = 0x243f6a8885a308d3ULL, s1 = 0x13198a2e03707344ULL; +static uint64_t rnd(void) { + uint64_t x = s0, y = s1; + s0 = y; x ^= x << 23; + s1 = x ^ y ^ (x >> 17) ^ (y >> 26); + return s1 + y; +} +static void fill(uint8_t *p, size_t n) { + for (size_t i = 0; i < n; i++) p[i] = (uint8_t)(rnd() >> 24); +} +static void show(const char *t, const uint8_t *b, size_t n) { + printf("%s ", t); + for (size_t i = 0; i < n; i++) printf("%02x", b[i]); + printf("\n"); +} + +int main(void) { + uint8_t priv[CRYPTON_DECAF_EDDSA_448_PRIVATE_BYTES]; + uint8_t pub[CRYPTON_DECAF_EDDSA_448_PUBLIC_BYTES]; + uint8_t sig[CRYPTON_DECAF_EDDSA_448_SIGNATURE_BYTES]; + uint8_t msg[256], ctx[8]; + uint8_t xs[CRYPTON_DECAF_X448_PRIVATE_BYTES]; + uint8_t xb[CRYPTON_DECAF_X448_PUBLIC_BYTES]; + uint8_t xo[CRYPTON_DECAF_X448_PUBLIC_BYTES]; + + /* the scalars and points worth naming */ + static const uint8_t edge[3] = {0x00, 0x01, 0xff}; + for (unsigned e = 0; e < 3; e++) { + memset(priv, edge[e], sizeof priv); + crypton_decaf_ed448_derive_public_key(pub, priv); + show("epub", pub, sizeof pub); + crypton_decaf_ed448_sign(sig, priv, pub, (const uint8_t *)"", 0, 0, NULL, 0); + show("esig", sig, sizeof sig); + printf("everify=%d\n", + crypton_decaf_ed448_verify(sig, pub, (const uint8_t *)"", 0, 0, NULL, 0)); + + memset(xs, edge[e], sizeof xs); + crypton_decaf_x448_derive_public_key(xo, xs); + show("xpub", xo, sizeof xo); + memset(xb, edge[e], sizeof xb); + printf("x448=%d\n", crypton_decaf_x448(xo, xb, xs)); + show("xsh", xo, sizeof xo); + } + + for (int it = 0; it < 512; it++) { + size_t mlen = (size_t)(rnd() % sizeof msg); + uint8_t clen = (uint8_t)(rnd() % sizeof ctx); + fill(priv, sizeof priv); + fill(msg, sizeof msg); + fill(ctx, sizeof ctx); + + crypton_decaf_ed448_derive_public_key(pub, priv); + show("pub", pub, sizeof pub); + crypton_decaf_ed448_sign(sig, priv, pub, msg, mlen, 0, ctx, clen); + show("sig", sig, sizeof sig); + printf("ok=%d bad=%d\n", + crypton_decaf_ed448_verify(sig, pub, msg, mlen, 0, ctx, clen), + crypton_decaf_ed448_verify(sig, pub, msg, mlen, 1, ctx, clen)); + /* a signature with one bit moved has to fail on both builds alike */ + sig[(size_t)(rnd() % sizeof sig)] ^= 1; + printf("tampered=%d\n", + crypton_decaf_ed448_verify(sig, pub, msg, mlen, 0, ctx, clen)); + + fill(xs, sizeof xs); + crypton_decaf_x448_derive_public_key(xb, xs); + show("xp", xb, sizeof xb); + uint8_t xs2[CRYPTON_DECAF_X448_PRIVATE_BYTES], xb2[CRYPTON_DECAF_X448_PUBLIC_BYTES]; + uint8_t sh1[CRYPTON_DECAF_X448_PUBLIC_BYTES], sh2[CRYPTON_DECAF_X448_PUBLIC_BYTES]; + fill(xs2, sizeof xs2); + crypton_decaf_x448_derive_public_key(xb2, xs2); + int r1 = crypton_decaf_x448(sh1, xb2, xs); + int r2 = crypton_decaf_x448(sh2, xb, xs2); + printf("r=%d,%d agree=%d\n", r1, r2, memcmp(sh1, sh2, sizeof sh1) == 0); + show("sh", sh1, sizeof sh1); + } + return 0; +} diff --git a/cbits/tests/width/p256_width.c b/cbits/tests/width/p256_width.c new file mode 100644 --- /dev/null +++ b/cbits/tests/width/p256_width.c @@ -0,0 +1,144 @@ +/* Exercise the public P-256 API and print everything it answers, so that the + 32-bit build and the 64-bit build can be compared byte for byte. Every + value crosses the boundary as big-endian bytes, which is the one form the + two representations agree on by construction. */ +#include +#include +#include +#include "p256/p256.h" + +/* This family has no header at all -- the Haskell side declares it through + the FFI -- so it is declared here. */ +void crypton_p256e_point_mul(const crypton_p256_int *n, + const crypton_p256_int *in_x, const crypton_p256_int *in_y, + crypton_p256_int *out_x, crypton_p256_int *out_y); +void crypton_p256e_point_add( + const crypton_p256_int *in_x1, const crypton_p256_int *in_y1, + const crypton_p256_int *in_x2, const crypton_p256_int *in_y2, + crypton_p256_int *out_x, crypton_p256_int *out_y); +void crypton_p256e_point_negate( + const crypton_p256_int *in_x, const crypton_p256_int *in_y, + crypton_p256_int *out_x, crypton_p256_int *out_y); +void crypton_p256e_modadd(const crypton_p256_int *MOD, + const crypton_p256_int *a, const crypton_p256_int *b, crypton_p256_int *c); +void crypton_p256e_modsub(const crypton_p256_int *MOD, + const crypton_p256_int *a, const crypton_p256_int *b, crypton_p256_int *c); +void crypton_p256e_scalar_invert(const crypton_p256_int *a, crypton_p256_int *b); + +static uint64_t s0 = 0x243f6a8885a308d3ULL, s1 = 0x13198a2e03707344ULL; +static uint64_t rnd(void) { /* xoroshiro-ish, deterministic */ + uint64_t x = s0, y = s1; + s0 = y; + x ^= x << 23; + s1 = x ^ y ^ (x >> 17) ^ (y >> 26); + return s1 + y; +} +static void rnd_bytes(uint8_t *p, int n) { + for (int i = 0; i < n; i++) p[i] = (uint8_t)(rnd() >> 24); +} +static void show(const char *tag, const crypton_p256_int *v) { + uint8_t b[P256_NBYTES]; + crypton_p256_to_bin(v, b); + printf("%s ", tag); + for (int i = 0; i < P256_NBYTES; i++) printf("%02x", b[i]); + printf("\n"); +} +static void from_hex(const char *h, crypton_p256_int *out) { + uint8_t b[P256_NBYTES]; + for (int i = 0; i < P256_NBYTES; i++) { + unsigned v; sscanf(h + 2 * i, "%2x", &v); b[i] = (uint8_t)v; + } + crypton_p256_from_bin(b, out); +} + +int main(void) { + crypton_p256_int n, x, y, x2, y2, r, a, b, n2tmp; + uint8_t buf[P256_NBYTES]; + + show("order", &crypton_SECP256r1_n); + show("prime", &crypton_SECP256r1_p); + show("bparam", &crypton_SECP256r1_b); + + /* the scalars worth naming: zero, one, the order and its neighbours, and + the all-bits-set shapes the comb recoding has to single out */ + static const char *corners[] = { + "0000000000000000000000000000000000000000000000000000000000000000", + "0000000000000000000000000000000000000000000000000000000000000001", + "0000000000000000000000000000000000000000000000000000000000000002", + "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", /* n */ + "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632550", /* n-1 */ + "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632552", /* n+1 */ + "7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + "0000000000000000000000000000000000000000000000000000000000000000", + }; + for (unsigned i = 0; i < sizeof corners / sizeof *corners; i++) { + from_hex(corners[i], &n); + crypton_p256_base_point_mul(&n, &x, &y); + printf("corner%u valid=%d\n", i, crypton_p256_is_valid_point(&x, &y)); + show(" cx", &x); show(" cy", &y); + } + + for (int it = 0; it < 1024; it++) { + rnd_bytes(buf, P256_NBYTES); + crypton_p256_from_bin(buf, &n); + crypton_p256_mod(&crypton_SECP256r1_n, &n, &n); + show("n", &n); + + crypton_p256_base_point_mul(&n, &x, &y); + printf("valid=%d zero=%d odd=%d even=%d\n", + crypton_p256_is_valid_point(&x, &y), + crypton_p256_is_zero(&x), crypton_p256_is_odd(&y), + crypton_p256_is_even(&y)); + show("x", &x); show("y", &y); + + /* n2 * (that point), then n1*G + n2*P through the vartime pair */ + rnd_bytes(buf, P256_NBYTES); + crypton_p256_from_bin(buf, &a); + crypton_p256_mod(&crypton_SECP256r1_n, &a, &a); + crypton_p256e_point_mul(&a, &x, &y, &x2, &y2); + show("px", &x2); show("py", &y2); + printf("pvalid=%d\n", crypton_p256_is_valid_point(&x2, &y2)); + + rnd_bytes(buf, P256_NBYTES); + crypton_p256_from_bin(buf, &b); + crypton_p256_mod(&crypton_SECP256r1_n, &b, &b); + crypton_p256_points_mul_vartime(&a, &b, &x, &y, &x2, &y2); + show("vx", &x2); show("vy", &y2); + + /* the integer side: every arithmetic entry point the header offers */ + crypton_p256_modmul(&crypton_SECP256r1_n, &a, 0, &b, &r); show("mul", &r); + crypton_p256_modmul(&crypton_SECP256r1_p, &a, 1, &b, &r); show("mulc", &r); + crypton_p256e_scalar_invert(&a, &r); show("inv", &r); + crypton_p256e_modadd(&crypton_SECP256r1_n, &a, &b, &r); show("madd", &r); + crypton_p256e_modsub(&crypton_SECP256r1_n, &a, &b, &r); show("msub", &r); + crypton_p256e_point_add(&x, &y, &x2, &y2, &r, &n2tmp); show("ax", &r); show("ay", &n2tmp); + crypton_p256e_point_negate(&x, &y, &r, &n2tmp); show("gx", &r); show("gy", &n2tmp); + crypton_p256_modinv_vartime(&crypton_SECP256r1_n, &a, &r); show("invv", &r); + printf("cmp=%d add=%d sub=%d addd=%d\n", + crypton_p256_cmp(&a, &b), + crypton_p256_add(&a, &b, &r), + crypton_p256_sub(&a, &b, &r), + crypton_p256_add_d(&a, 0x9e3779b9u, &r)); + show("sum", &r); + /* the shifts are defined as n % P256_BITSPERDIGIT, which is 32 on one + build and 64 on the other, so keep the ask inside both */ + /* a shift of nothing has to be the number itself. Held here rather + than left to the random amounts below, because zero is the amount + that used to shift a digit by its own width. */ + crypton_p256_shl(&a, 0, &r); + printf("shl0=%d ", crypton_p256_cmp(&a, &r) == 0); + crypton_p256_shr(&a, 0, &r); + printf("shr0=%d\n", crypton_p256_cmp(&a, &r) == 0); + for (int s = 0; s < 3; s++) { + int k = (int)(rnd() % 32); + printf("shl%d=%d\n", k, (int)(crypton_p256_shl(&a, k, &r) & 0xff)); + show("shl", &r); + crypton_p256_shr(&a, k, &r); show("shr", &r); + } + for (int bit = 0; bit < 256; bit += 37) + printf("bit%d=%d ", bit, crypton_p256_get_bit(&a, bit)); + printf("\n"); + } + return 0; +} diff --git a/cbits/tests/width/run.sh b/cbits/tests/width/run.sh new file mode 100644 --- /dev/null +++ b/cbits/tests/width/run.sh @@ -0,0 +1,103 @@ +#!/bin/sh +# The three implementations that only a 32-bit architecture receives, asked +# the same questions as the 64-bit ones they stand in for. +# +# cbits/include32/p256 against cbits/include64/p256 +# cbits/curve25519-donna.c against curve25519-donna-c64.c +# cbits/decaf/p448/arch_32 against cbits/decaf/p448/arch_ref64 +# +# No job in the matrix is 32-bit, so until this ran, none of the left column +# had ever been compiled, let alone executed. The two sides of each pair +# define the same symbols, so they cannot share a binary: each driver is built +# twice and the two outputs compared. +# +# With a compiler that can target 32-bit x86 -- gcc-multilib on the Linux +# runner -- the 32-bit side is built a second time as a real 32-bit binary, +# which is the only way to see what the narrower int, size_t and pointer do. +# +# Usage: cbits/tests/width/run.sh [build-dir] +set -eu + +root=$(CDPATH= cd -- "$(dirname -- "$0")/../../.." && pwd) +out=${1:-$(mktemp -d)} +cc=${CC:-cc} +mkdir -p "$out" +cd "$root" + +D=cbits/decaf +decaf_common="$D/ed448goldilocks/decaf_all.c $D/ed448goldilocks/eddsa.c + $D/ed448goldilocks/scalar.c $D/p448/f_arithmetic.c + $D/p448/f_generic.c $D/utils.c cbits/crypton_sha3.c" + +# name, the flags and sources for the 64-bit side, then for the 32-bit side +build() { + # shellcheck disable=SC2086 + $cc -O2 -Wno-deprecated-declarations $EXTRA -o "$out/$1" $2 2>&1 | + grep -vE "^$|deprecated" || true + test -x "$out/$1" || { echo "did not build: $1"; exit 1; } +} + +status=0 +compare() { + if cmp -s "$out/$1.txt" "$out/$2.txt"; then + echo "ok $3 ($(wc -l < "$out/$1.txt" | tr -d ' ') lines)" + else + echo "FAIL $3" + diff "$out/$1.txt" "$out/$2.txt" | head -20 + status=1 + fi +} + +for width in 64 32; do + case $width in + 64) p256_inc=cbits/include64; donna=cbits/curve25519/curve25519-donna-c64.c; arch=arch_ref64 ;; + 32) p256_inc=cbits/include32; donna=cbits/curve25519/curve25519-donna.c; arch=arch_32 ;; + esac + + # decaf decides its word size twice and from two different things: the + # field limbs from ARCH_WORD_BITS, which follows the arch directory + # picked above, and the scalar limbs from CRYPTON_DECAF_WORD_BITS, which + # common.h reads off the host compiler. On a 32-bit machine -- the only + # place cabal asks for arch_32 -- both come out 32. Here the host is + # 64-bit whichever side is being built, so say which is wanted rather + # than compile a half-32-bit-half-64-bit library and compare that. + + EXTRA="-Icbits -I$p256_inc" + build "p256_$width" "cbits/tests/width/p256_width.c cbits/p256/p256.c cbits/p256/p256_ec.c" + + EXTRA="-Icbits" + build "x25519_$width" "cbits/tests/width/x25519_width.c $donna" + + EXTRA="-DCRYPTON_DECAF_WORD_BITS=$width -Icbits -I$D/include -I$D/p448 -I$D/include/$arch -I$D/p448/$arch" + build "ed448_$width" "cbits/tests/width/ed448_width.c $decaf_common $D/p448/$arch/f_impl.c" + + for t in p256 x25519 ed448; do + "$out/${t}_$width" > "$out/${t}_$width.txt" + done +done + +for t in p256 x25519 ed448; do + compare "${t}_64" "${t}_32" "$t: the 32-bit implementation answers what the 64-bit one answers" +done + +# The same sources again, this time actually narrow. Only the 32-bit side is +# tried: the 64-bit P-256 wants __uint128_t, which a 32-bit target has not got, +# which is the whole reason the 32-bit side exists. +printf 'int main(void){return 0;}\n' > "$out/probe.c" +if $cc -m32 -o "$out/probe" "$out/probe.c" 2>/dev/null && "$out/probe"; then + EXTRA="-m32 -Icbits -Icbits/include32" + build p256_m32 "cbits/tests/width/p256_width.c cbits/p256/p256.c cbits/p256/p256_ec.c" + EXTRA="-m32 -Icbits" + build x25519_m32 "cbits/tests/width/x25519_width.c cbits/curve25519/curve25519-donna.c" + EXTRA="-m32 -DCRYPTON_DECAF_WORD_BITS=32 -Icbits -I$D/include -I$D/p448 -I$D/include/arch_32 -I$D/p448/arch_32" + build ed448_m32 "cbits/tests/width/ed448_width.c $decaf_common $D/p448/arch_32/f_impl.c" + + for t in p256 x25519 ed448; do + "$out/${t}_m32" > "$out/${t}_m32.txt" + compare "${t}_32" "${t}_m32" "$t: a 32-bit host answers what a 64-bit host answers" + done +else + echo "skip $cc cannot build and run a 32-bit binary here; the comparison above still ran" +fi + +exit $status diff --git a/cbits/tests/width/x25519_width.c b/cbits/tests/width/x25519_width.c new file mode 100644 --- /dev/null +++ b/cbits/tests/width/x25519_width.c @@ -0,0 +1,74 @@ +/* The same X25519 asked of the 32-bit donna and the 64-bit donna. Both files + define crypton_curve25519_donna, so they cannot share a binary: build twice + and compare. */ +#include +#include +#include + +void crypton_curve25519_donna(uint8_t *mypublic, const uint8_t *secret, + const uint8_t *basepoint); + +static uint64_t s0 = 0x243f6a8885a308d3ULL, s1 = 0x13198a2e03707344ULL; +static uint64_t rnd(void) { + uint64_t x = s0, y = s1; + s0 = y; x ^= x << 23; + s1 = x ^ y ^ (x >> 17) ^ (y >> 26); + return s1 + y; +} +static void show(const char *t, const uint8_t *b) { + printf("%s ", t); + for (int i = 0; i < 32; i++) printf("%02x", b[i]); + printf("\n"); +} + +int main(void) { + uint8_t sec[32], base[32], out[32]; + /* the named points: the generator, zero, one, the low-order points and + the all-ones field element that reduces to nothing */ + static const uint8_t corners[][32] = { + {9}, + {0}, + {1}, + {0xe0,0xeb,0x7a,0x7c,0x3b,0x41,0xb8,0xae,0x16,0x56,0xe3,0xfa,0xf1,0x9f, + 0xc4,0x6a,0xda,0x09,0x8d,0xeb,0x9c,0x32,0xb1,0xfd,0x86,0x62,0x05,0x16, + 0x5f,0x49,0xb8,0x00}, + {0x5f,0x9c,0x95,0xbc,0xa3,0x50,0x8c,0x24,0xb1,0xd0,0xb1,0x55,0x9c,0x83, + 0xef,0x5b,0x04,0x44,0x5c,0xc4,0x58,0x1c,0x8e,0x86,0xd8,0x22,0x4e,0xdd, + 0xd0,0x9f,0x11,0x57}, + {0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff}, + {0xec,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x7f}, + }; + for (unsigned c = 0; c < sizeof corners / sizeof *corners; c++) { + memset(sec, 0, 32); + sec[0] = (uint8_t)(0x40 + c); sec[31] = 0x40; + crypton_curve25519_donna(out, sec, corners[c]); + show("corner", out); + /* and the scalars with every clamped bit at an edge */ + memset(sec, 0xff, 32); sec[0] = 0xf8; sec[31] = 0x7f; + crypton_curve25519_donna(out, sec, corners[c]); + show("cmax", out); + memset(sec, 0x00, 32); sec[31] = 0x40; + crypton_curve25519_donna(out, sec, corners[c]); + show("cmin", out); + } + for (int it = 0; it < 2048; it++) { + for (int i = 0; i < 32; i++) sec[i] = (uint8_t)(rnd() >> 24); + for (int i = 0; i < 32; i++) base[i] = (uint8_t)(rnd() >> 24); + crypton_curve25519_donna(out, sec, base); + show("r", out); + /* and a round trip: the shared secret both sides should agree on */ + uint8_t pa[32], pb[32], sa[32], sb[32], g[32] = {9}; + uint8_t s2[32]; + for (int i = 0; i < 32; i++) s2[i] = (uint8_t)(rnd() >> 24); + crypton_curve25519_donna(pa, sec, g); + crypton_curve25519_donna(pb, s2, g); + crypton_curve25519_donna(sa, sec, pb); + crypton_curve25519_donna(sb, s2, pa); + printf("agree=%d\n", memcmp(sa, sb, 32) == 0); + show("sa", sa); + } + return 0; +} diff --git a/crypton.cabal b/crypton.cabal --- a/crypton.cabal +++ b/crypton.cabal @@ -1,69 +1,115 @@ -cabal-version: 1.18 +cabal-version: 3.0 name: crypton -version: 0.34 -license: BSD3 -license-file: LICENSE -copyright: Vincent Hanquez +version: 2.1.7 +-- crypton's own code is BSD-3-Clause. The parts of +-- cbits/aes/gcm_fused_x86.c that follow picotls's fusion are MIT, and the +-- vendored s2n-bignum assembly in cbits/s2n is taken under ISC; each has +-- its licence beside it, and they are listed below. The CRYPTOGAMS +-- assembly in cbits/asm is taken under its BSD-3-Clause option, and the +-- AArch64 multiply-accumulate loop in cbits/crypton_bignum.h follows Go's, +-- which is BSD-3-Clause too; the first term already covers both. +license: BSD-3-Clause AND MIT AND ISC +license-files: + LICENSE + cbits/LICENSE.go + cbits/aes/LICENSE.fusion + cbits/asm/LICENSE.cryptogams + cbits/s2n/LICENSE +copyright: + 2006-2022 Vincent Hanquez and contributors, + 2023-2026 Kazu Yamamoto + maintainer: Kazu Yamamoto author: Vincent Hanquez stability: experimental -tested-with: ghc ==9.2.2 ghc ==9.0.2 ghc ==8.10.7 ghc ==8.8.4 +tested-with: + ghc ==9.2.8 || ==9.4.8 || ==9.6.7 || ==9.8.4 || ==9.10.2 || ==9.12.4 || ==9.14.1 + homepage: https://github.com/kazu-yamamoto/crypton bug-reports: https://github.com/kazu-yamamoto/crypton/issues -synopsis: Cryptography Primitives sink -description: - A repository of cryptographic primitives. - . - * Symmetric ciphers: AES, DES, 3DES, CAST5, Blowfish, Twofish, Camellia, RC4, Salsa, XSalsa, ChaCha. - . - * Hash: SHA1, SHA2, SHA3, SHAKE, MD2, MD4, MD5, Keccak, Skein, Ripemd, Tiger, Whirlpool, Blake2 - . - * MAC: HMAC, KMAC, Poly1305 - . - * Asymmetric crypto: DSA, RSA, DH, ECDH, ECDSA, ECC, Curve25519, Curve448, Ed25519, Ed448 - . - * Key Derivation Function: PBKDF2, Scrypt, HKDF, Argon2, BCrypt, BCryptPBKDF - . - * Cryptographic Random generation: System Entropy, Deterministic Random Generator - . - * Data related: Anti-Forensic Information Splitter (AFIS) - . - If anything cryptographic related is missing from here, submit - a pull request to have it added. This package strives to be a - cryptographic kitchen sink that provides cryptography for everyone. - . - Evaluate the security related to your requirements before using. - . - Read "Crypto.Tutorial" for a quick start guide. +synopsis: Cryptography Primitives +description: `crypton` is a low-level cryptography library. + To achieve high performance, it utilizes C and assembly + language to define FFI bindings, structuring them + in a way that makes them easy to use. category: Cryptography build-type: Simple extra-source-files: cbits/*.h cbits/aes/*.h - cbits/ed25519/*.h + cbits/curve25519/*.h + cbits/aes/armv8_impl.c + cbits/aes/x86ni_impl.c + cbits/asm/README.md + cbits/asm/aesni-gcm-x86_64.pl + cbits/asm/arm-xlate.pl + cbits/asm/arm_arch.h + cbits/asm/chacha-armv8.pl + cbits/asm/chacha-x86_64.pl + cbits/asm/generate.sh + cbits/asm/keccak1600-armv8.pl + cbits/asm/keccak1600-x86_64.pl + cbits/asm/poly1305-armv8.pl + cbits/asm/poly1305-x86_64.pl + cbits/asm/sha1-armv8.pl + cbits/asm/sha512-armv8.pl + cbits/asm/sha512-x86_64.pl + cbits/asm/x86_64-xlate.pl + cbits/chacha_sse_impl.c + cbits/argon2/*.c + cbits/argon2/*.h + cbits/blake2/ref/*.h + cbits/blake2/sse/*.h + cbits/crypton_hash_prefix.c + cbits/decaf/ed448goldilocks/decaf.c + cbits/decaf/ed448goldilocks/decaf_tables.c cbits/decaf/include/*.h - cbits/decaf/include/decaf/*.h cbits/decaf/include/arch_32/*.h cbits/decaf/include/arch_ref64/*.h + cbits/decaf/include/decaf/*.h + cbits/decaf/p448/*.h cbits/decaf/p448/arch_32/*.h cbits/decaf/p448/arch_ref64/*.h - cbits/decaf/p448/*.h - cbits/decaf/ed448goldilocks/decaf_tables.c - cbits/decaf/ed448goldilocks/decaf.c + cbits/ed25519/*.h cbits/include32/p256/*.h cbits/include64/p256/*.h - cbits/blake2/ref/*.h - cbits/blake2/sse/*.h - cbits/argon2/*.h - cbits/argon2/*.c - cbits/aes/x86ni_impl.c - cbits/crypton_hash_prefix.c + cbits/s2n/COMMIT + cbits/s2n/README.md + cbits/s2n/arm/*.S + cbits/p256/*.h + cbits/p256/gen_base_table.py + cbits/s2n/import.sh + cbits/s2n/include/*.h + cbits/s2n/x86_att/*.S + cbits/tests/ct/*.c + cbits/tests/ct/*.h + cbits/tests/ct/known.txt + cbits/tests/ct/README + cbits/tests/ct/run.sh + cbits/tests/endian/*.c + cbits/tests/endian/README + cbits/tests/endian/run.sh + cbits/tests/endian/vectors.txt + cbits/tests/fuzz/*.c + cbits/tests/fuzz/*.h + cbits/tests/fuzz/README + cbits/tests/fuzz/corpus/*.bin + cbits/tests/fuzz/run.sh + cbits/tests/perf/*.c + cbits/tests/perf/floors.txt + cbits/tests/perf/run.sh + cbits/tests/scrub/*.c + cbits/tests/scrub/README + cbits/tests/scrub/known.txt + cbits/tests/scrub/run.sh + cbits/tests/width/*.c + cbits/tests/width/run.sh tests/*.hs extra-doc-files: - README.md CHANGELOG.md + README.md source-repository head type: git @@ -88,10 +134,22 @@ manual: True flag support_sse - description: Use SSE optimized version of (BLAKE2, ARGON2) + description: + Use SSE optimized version of (BLAKE2, ARGON2) on i386. x86-64 takes + them anyway; every other architecture has no SSE to offer and ignores + this flag, rather than failing to compile the sources. + default: False manual: True +flag support_s2n_bignum + description: + Use the vendored s2n-bignum assembly for the NIST prime curves on + x86-64 and AArch64. See cbits/s2n/README.md. + + default: True + manual: True + flag integer-gmp description: Whether or not to use GMP for some functions manual: True @@ -123,11 +181,13 @@ library exposed-modules: Crypto.Cipher.AES + Crypto.Cipher.AES.GCM Crypto.Cipher.AESGCMSIV Crypto.Cipher.Blowfish - Crypto.Cipher.CAST5 Crypto.Cipher.Camellia + Crypto.Cipher.CAST5 Crypto.Cipher.ChaCha + Crypto.Cipher.ChaCha.Poly1305 Crypto.Cipher.ChaChaPoly1305 Crypto.Cipher.DES Crypto.Cipher.RC4 @@ -142,12 +202,22 @@ Crypto.Data.Padding Crypto.ECC Crypto.ECC.Edwards25519 + Crypto.Debug Crypto.Error + Crypto.Hash + Crypto.Hash.Algorithms + Crypto.Hash.IO + Crypto.KDF.Argon2 + Crypto.KDF.BCrypt + Crypto.KDF.BCryptPBKDF + Crypto.KDF.HKDF + Crypto.KDF.PBKDF2 + Crypto.KDF.Scrypt Crypto.MAC.CMAC - Crypto.MAC.Poly1305 Crypto.MAC.HMAC Crypto.MAC.KeyedBlake2 Crypto.MAC.KMAC + Crypto.MAC.Poly1305 Crypto.Number.Basic Crypto.Number.F2m Crypto.Number.Generate @@ -155,91 +225,102 @@ Crypto.Number.Nat Crypto.Number.Prime Crypto.Number.Serialize - Crypto.Number.Serialize.LE Crypto.Number.Serialize.Internal Crypto.Number.Serialize.Internal.LE - Crypto.KDF.Argon2 - Crypto.KDF.PBKDF2 - Crypto.KDF.Scrypt - Crypto.KDF.BCrypt - Crypto.KDF.BCryptPBKDF - Crypto.KDF.HKDF - Crypto.Hash - Crypto.Hash.IO - Crypto.Hash.Algorithms + Crypto.Number.Serialize.LE Crypto.OTP Crypto.PubKey.Curve25519 Crypto.PubKey.Curve448 - Crypto.PubKey.MaskGenFunction Crypto.PubKey.DH Crypto.PubKey.DSA - Crypto.PubKey.ECC.Generate - Crypto.PubKey.ECC.Prim Crypto.PubKey.ECC.DH Crypto.PubKey.ECC.ECDSA + Crypto.PubKey.ECC.Generate Crypto.PubKey.ECC.P256 + Crypto.PubKey.ECC.Prim Crypto.PubKey.ECC.Types Crypto.PubKey.ECDSA Crypto.PubKey.ECIES + Crypto.PubKey.ElGamal Crypto.PubKey.Ed25519 Crypto.PubKey.Ed448 Crypto.PubKey.EdDSA + Crypto.PubKey.MaskGenFunction + Crypto.PubKey.Rabin.Basic + Crypto.PubKey.Rabin.Modified + Crypto.PubKey.Rabin.OAEP + Crypto.PubKey.Rabin.RW + Crypto.PubKey.Rabin.Types Crypto.PubKey.RSA + Crypto.PubKey.RSA.OAEP Crypto.PubKey.RSA.PKCS15 Crypto.PubKey.RSA.Prim Crypto.PubKey.RSA.PSS - Crypto.PubKey.RSA.OAEP Crypto.PubKey.RSA.Types - Crypto.PubKey.Rabin.OAEP - Crypto.PubKey.Rabin.Basic - Crypto.PubKey.Rabin.Modified - Crypto.PubKey.Rabin.RW - Crypto.PubKey.Rabin.Types Crypto.Random - Crypto.Random.Types Crypto.Random.Entropy - Crypto.Random.EntropyPool Crypto.Random.Entropy.Unsafe + Crypto.Random.EntropyPool + Crypto.Random.Types Crypto.System.CPU Crypto.Tutorial - cc-options: -std=gnu99 + -- -O3 over -O2, which is what GHC passes: measured on x86-64, AES-128-GCM + -- 3455 to 3708 MB/s, AES-128-OCB 2187 to 2484, a P-256 base point + -- multiplication 71.0 to 59.8 us and SHA-256 312 to 318, with ChaCha20, + -- Poly1305, SHA-1 and MD5 within a couple of per cent either way; on Apple + -- silicon the same P-256 multiplication goes from 26.0 to 24.3 us. The + -- code that must not branch on a secret does not: the masked selections in + -- the curve and field code compile to no conditional jumps at either + -- level, and what -O3 adds in cbits/crypton_powm.c is loop control over + -- limb counts, which are public. + cc-options: -std=gnu99 -O3 c-sources: - cbits/crypton_chacha.c - cbits/crypton_salsa.c - cbits/crypton_xsalsa.c - cbits/crypton_rc4.c - cbits/crypton_cpu.c - cbits/p256/p256.c - cbits/p256/p256_ec.c - cbits/crypton_blake2s.c - cbits/crypton_blake2sp.c + cbits/curve25519/x25519.c + cbits/crypton_modinv.c + cbits/argon2/argon2.c cbits/crypton_blake2b.c cbits/crypton_blake2bp.c - cbits/crypton_poly1305.c - cbits/crypton_sha1.c - cbits/crypton_sha256.c - cbits/crypton_sha512.c - cbits/crypton_sha3.c + cbits/crypton_blake2s.c + cbits/crypton_blake2sp.c + cbits/crypton_blowfish.c + cbits/crypton_camellia.c + cbits/crypton_chacha.c + cbits/crypton_chachapoly.c + cbits/crypton_cpu.c + cbits/crypton_des.c + cbits/crypton_ecc.c + cbits/crypton_f2m.c cbits/crypton_md2.c + cbits/crypton_memxor.c cbits/crypton_md4.c cbits/crypton_md5.c + cbits/crypton_pbkdf2.c + cbits/crypton_poly1305.c + cbits/crypton_powm.c + cbits/crypton_rc4.c cbits/crypton_ripemd.c + cbits/crypton_salsa.c + cbits/crypton_scrypt.c + cbits/crypton_sha1.c + cbits/crypton_sha256.c + cbits/crypton_sha3.c + cbits/crypton_sha512.c cbits/crypton_skein256.c cbits/crypton_skein512.c cbits/crypton_tiger.c cbits/crypton_whirlpool.c - cbits/crypton_scrypt.c - cbits/crypton_pbkdf2.c + cbits/crypton_xsalsa.c cbits/ed25519/ed25519.c - cbits/argon2/argon2.c + cbits/ed25519/ed25519_s2n.c + cbits/p256/p256.c + cbits/p256/p256_ec.c other-modules: Crypto.Cipher.AES.Primitive - Crypto.Cipher.Blowfish.Box Crypto.Cipher.Blowfish.Primitive - Crypto.Cipher.CAST5.Primitive Crypto.Cipher.Camellia.Primitive + Crypto.Cipher.CAST5.Primitive Crypto.Cipher.DES.Primitive Crypto.Cipher.Twofish.Primitive Crypto.Cipher.Types.AEAD @@ -248,49 +329,52 @@ Crypto.Cipher.Types.GF Crypto.Cipher.Types.Stream Crypto.Cipher.Types.Utils + Crypto.ECC.Simple.Prim + Crypto.ECC.Simple.Types Crypto.Error.Types - Crypto.Number.Compat - Crypto.Hash.Types Crypto.Hash.Blake2 - Crypto.Hash.Blake2s - Crypto.Hash.Blake2sp Crypto.Hash.Blake2b Crypto.Hash.Blake2bp + Crypto.Hash.Blake2s + Crypto.Hash.Blake2sp + Crypto.Hash.Keccak + Crypto.Hash.MD2 + Crypto.Hash.MD4 + Crypto.Hash.MD5 + Crypto.Hash.RIPEMD160 Crypto.Hash.SHA1 Crypto.Hash.SHA224 Crypto.Hash.SHA256 + Crypto.Hash.SHA3 Crypto.Hash.SHA384 Crypto.Hash.SHA512 Crypto.Hash.SHA512t - Crypto.Hash.SHA3 Crypto.Hash.SHAKE - Crypto.Hash.Keccak - Crypto.Hash.MD2 - Crypto.Hash.MD4 - Crypto.Hash.MD5 - Crypto.Hash.RIPEMD160 Crypto.Hash.Skein256 Crypto.Hash.Skein512 Crypto.Hash.Tiger + Crypto.Hash.Types Crypto.Hash.Whirlpool - Crypto.Random.Entropy.Source - Crypto.Random.Entropy.Backend - Crypto.Random.ChaChaDRG - Crypto.Random.SystemDRG - Crypto.Random.Probabilistic - Crypto.PubKey.Internal - Crypto.PubKey.ElGamal - Crypto.ECC.Simple.Types - Crypto.ECC.Simple.Prim Crypto.Internal.Builder Crypto.Internal.ByteArray Crypto.Internal.Compat Crypto.Internal.CompatPrim Crypto.Internal.DeepSeq + Crypto.Internal.ECC + Crypto.Internal.Endian Crypto.Internal.Imports + Crypto.Internal.Poly1305 Crypto.Internal.Nat - Crypto.Internal.Words Crypto.Internal.WordArray + Crypto.Internal.Words + Crypto.Number.Compat + Crypto.PubKey.Internal + Crypto.Random.ChaChaDRG + Crypto.Random.Entropy.Backend + Crypto.Random.Entropy.Source + Crypto.Random.HmacDRG + Crypto.Random.Probabilistic + Crypto.Random.SystemDRG default-language: Haskell2010 include-dirs: @@ -299,60 +383,66 @@ ghc-options: -Wall -fwarn-tabs -optc-O3 build-depends: - bytestring, - memory >=0.14.18, - basement >=0.0.6, - ghc-prim - - if impl(ghc <8.8) - buildable: False - - else - build-depends: base - - if os(linux) - extra-libraries: pthread + base >=4.13 && <5, + bytestring <0.13, + primitive >=0.9 && <0.10, + deepseq <1.6, + base16 >=1.0 && <1.1, + text <2.2, + ram >=0.20.1 && <0.23 if flag(old_toolchain_inliner) cc-options: -fgnu89-inline - if (arch(x86_64) || arch(aarch64)) + if ((((((((arch(x86_64) || arch(aarch64)) || arch(loongarch64)) || arch(ppc64le)) || arch(riscv64)) || arch(s390x)) || arch(alpha)) || arch(ppc64)) || arch(sparc64)) include-dirs: cbits/include64 else include-dirs: cbits/include32 - if (arch(x86_64) || arch(aarch64)) + if ((((((((arch(x86_64) || arch(aarch64)) || arch(loongarch64)) || arch(ppc64le)) || arch(riscv64)) || arch(s390x)) || arch(alpha)) || arch(ppc64)) || arch(sparc64)) c-sources: + cbits/decaf/ed448goldilocks/decaf_all.c + cbits/decaf/ed448goldilocks/eddsa.c + cbits/decaf/ed448goldilocks/scalar.c cbits/decaf/p448/arch_ref64/f_impl.c - cbits/decaf/p448/f_generic.c cbits/decaf/p448/f_arithmetic.c + cbits/decaf/p448/f_generic.c cbits/decaf/utils.c - cbits/decaf/ed448goldilocks/scalar.c - cbits/decaf/ed448goldilocks/decaf_all.c - cbits/decaf/ed448goldilocks/eddsa.c include-dirs: cbits/decaf/include/arch_ref64 cbits/decaf/p448/arch_ref64 + -- decaf sizes its field limbs from the arch directory just chosen and + -- its scalar limbs from a separate macro that cbits/decaf/include/ + -- decaf/common.h works out from the compiler, by asking after + -- __x86_64__ and the width of uint_fast32_t. The two answers need + -- not agree: on Apple Silicon uint_fast32_t is four bytes, so the + -- same aarch64 CPU takes 64-bit field limbs and 32-bit scalar limbs, + -- where on Linux it takes 64-bit for both. Ed448 signing pays 5.5% + -- for that (20.69 us against 19.56 on an M4). The architecture is + -- already decided here, so decide this with it. + cc-options: -DCRYPTON_DECAF_WORD_BITS=64 + else c-sources: + cbits/decaf/ed448goldilocks/decaf_all.c + cbits/decaf/ed448goldilocks/eddsa.c + cbits/decaf/ed448goldilocks/scalar.c cbits/decaf/p448/arch_32/f_impl.c - cbits/decaf/p448/f_generic.c cbits/decaf/p448/f_arithmetic.c + cbits/decaf/p448/f_generic.c cbits/decaf/utils.c - cbits/decaf/ed448goldilocks/scalar.c - cbits/decaf/ed448goldilocks/decaf_all.c - cbits/decaf/ed448goldilocks/eddsa.c include-dirs: cbits/decaf/include/arch_32 cbits/decaf/p448/arch_32 + cc-options: -DCRYPTON_DECAF_WORD_BITS=32 - if (arch(x86_64) || arch(aarch64)) + if ((((((((arch(x86_64) || arch(aarch64)) || arch(loongarch64)) || arch(ppc64le)) || arch(riscv64)) || arch(s390x)) || arch(alpha)) || arch(ppc64)) || arch(sparc64)) c-sources: cbits/curve25519/curve25519-donna-c64.c else c-sources: cbits/curve25519/curve25519-donna.c - if (arch(i386) || arch(x86_64)) + if (((((arch(i386) || arch(x86_64)) || arch(loongarch64)) || arch(ppc64le)) || arch(riscv64)) || arch(alpha)) cpp-options: -DARCH_IS_LITTLE_ENDIAN if arch(i386) @@ -361,17 +451,248 @@ if arch(x86_64) cpp-options: -DARCH_X86_64 + -- SSE2 is part of the x86-64 baseline, so this needs no flag and no + -- runtime check; i386 keeps the scalar code. + if arch(x86_64) + cc-options: + -DWITH_X86_SSE2 -DWITH_X86_AVX2 -DWITH_X86_SHA_NI + c-sources: + cbits/chacha_avx2.c + cbits/chacha_sse2.c + cbits/sha1_x86.c + + -- The SHA extensions are not part of the baseline, so without the + -- attributes this raises it for every file, as the AES-NI and + -- AArch64 paths do. + if !flag(use_target_attributes) + cc-options: -msha -msse4.1 -mssse3 + + -- Poly1305, ChaCha20 and the SHA-2 pair from CRYPTOGAMS, + -- hand-scheduled. Poly1305 + -- there has paths for AVX and AVX2 where the C here has only the + -- second, and replaces it entirely; ChaCha20 there is ahead of the + -- C from one block up, having vector code for lengths the C takes + -- a block at a time. What either has beyond AVX2 is not asked + -- for: no machine here can run it, and a path nothing has executed + -- is not worth the few per cent. See cbits/asm/README.md. + cc-options: + -DWITH_X86_POLY1305_ASM -DWITH_X86_CHACHA_ASM + -DWITH_X86_SHA256_ASM -DWITH_X86_SHA512_ASM -DWITH_X86_SHA3_ASM + + if os(osx) + asm-sources: + cbits/asm/chacha-x86_64-macosx.S + cbits/asm/keccak1600-x86_64-macosx.S + cbits/asm/poly1305-x86_64-macosx.S + cbits/asm/sha256-x86_64-macosx.S + cbits/asm/sha512-x86_64-macosx.S + + elif os(windows) + asm-sources: + cbits/asm/chacha-x86_64-mingw64.S + cbits/asm/keccak1600-x86_64-mingw64.S + cbits/asm/poly1305-x86_64-mingw64.S + cbits/asm/sha256-x86_64-mingw64.S + cbits/asm/sha512-x86_64-mingw64.S + + else + asm-sources: + cbits/asm/chacha-x86_64-elf.S + cbits/asm/keccak1600-x86_64-elf.S + cbits/asm/poly1305-x86_64-elf.S + cbits/asm/sha256-x86_64-elf.S + cbits/asm/sha512-x86_64-elf.S + + -- AWS's s2n-bignum: hand-written, formally verified, constant-time + -- assembly for the NIST prime curves, two and a half to three times + -- faster than the C it replaces here. Apache-2.0 OR ISC OR MIT-0, so + -- unlike OpenSSL's and BoringSSL's ecp_nistz256 it can be used. Both + -- variants of each routine are built and chosen between in + -- cbits/p256/p256_s2n.c -- see cbits/s2n/README.md for why the question + -- is a different one on the two architectures. Windows is left out for + -- now: the vendored files carry ELF and Mach-O directives and nothing + -- for COFF, the same reason the CRYPTOGAMS AArch64 assembly above skips + -- it. x86-64 there wants -DWINDOWS_ABI=1 as well. + if (flag(support_s2n_bignum) && (arch(x86_64) || arch(aarch64)) && !os(windows)) + cc-options: -DCRYPTON_S2N_BIGNUM + include-dirs: cbits/s2n/include + c-sources: + cbits/crypton_ecc_s2n.c + cbits/p256/p256_base_table.c + cbits/p256/p256_s2n.c + cbits/p256/p256_verify.c + cbits/p256/p256_wnaf_table.c + + if arch(aarch64) + asm-sources: + cbits/s2n/arm/bignum_deamont_p384.S + cbits/s2n/arm/bignum_modinv.S + cbits/s2n/arm/curve25519_x25519.S + cbits/s2n/arm/curve25519_x25519_alt.S + cbits/s2n/arm/curve25519_x25519base.S + cbits/s2n/arm/curve25519_x25519base_alt.S + cbits/s2n/arm/edwards25519_encode.S + cbits/s2n/arm/edwards25519_scalarmulbase.S + cbits/s2n/arm/edwards25519_scalarmulbase_alt.S + cbits/s2n/arm/bignum_inv_p521.S + cbits/s2n/arm/bignum_montinv_p384.S + cbits/s2n/arm/bignum_montmul_p384.S + cbits/s2n/arm/bignum_montmul_p384_alt.S + cbits/s2n/arm/bignum_montsqr_p384.S + cbits/s2n/arm/bignum_montsqr_p384_alt.S + cbits/s2n/arm/bignum_mul_p521.S + cbits/s2n/arm/bignum_mul_p521_alt.S + cbits/s2n/arm/bignum_sqr_p521.S + cbits/s2n/arm/bignum_sqr_p521_alt.S + cbits/s2n/arm/bignum_tomont_p384.S + cbits/s2n/arm/bignum_demont_p256.S + cbits/s2n/arm/bignum_neg_p256.S + cbits/s2n/arm/bignum_tomont_p256.S + cbits/s2n/arm/p256_montjadd.S + cbits/s2n/arm/p256_montjadd_alt.S + cbits/s2n/arm/p256_montjdouble.S + cbits/s2n/arm/p256_montjdouble_alt.S + cbits/s2n/arm/p256_montjmixadd.S + cbits/s2n/arm/p256_montjmixadd_alt.S + cbits/s2n/arm/p256_scalarmul.S + cbits/s2n/arm/p256_scalarmul_alt.S + cbits/s2n/arm/p256_scalarmulbase.S + cbits/s2n/arm/p256_scalarmulbase_alt.S + cbits/s2n/arm/p384_montjscalarmul.S + cbits/s2n/arm/p384_montjscalarmul_alt.S + cbits/s2n/arm/p521_jscalarmul.S + cbits/s2n/arm/p521_jscalarmul_alt.S + + else + asm-sources: + cbits/s2n/x86_att/bignum_deamont_p384.S + cbits/s2n/x86_att/bignum_modinv.S + cbits/s2n/x86_att/curve25519_x25519.S + cbits/s2n/x86_att/curve25519_x25519_alt.S + cbits/s2n/x86_att/curve25519_x25519base.S + cbits/s2n/x86_att/curve25519_x25519base_alt.S + cbits/s2n/x86_att/edwards25519_encode.S + cbits/s2n/x86_att/edwards25519_scalarmulbase.S + cbits/s2n/x86_att/edwards25519_scalarmulbase_alt.S + cbits/s2n/x86_att/bignum_deamont_p384_alt.S + cbits/s2n/x86_att/bignum_inv_p521.S + cbits/s2n/x86_att/bignum_montinv_p384.S + cbits/s2n/x86_att/bignum_montmul_p384.S + cbits/s2n/x86_att/bignum_montmul_p384_alt.S + cbits/s2n/x86_att/bignum_montsqr_p384.S + cbits/s2n/x86_att/bignum_montsqr_p384_alt.S + cbits/s2n/x86_att/bignum_mul_p521.S + cbits/s2n/x86_att/bignum_mul_p521_alt.S + cbits/s2n/x86_att/bignum_sqr_p521.S + cbits/s2n/x86_att/bignum_sqr_p521_alt.S + cbits/s2n/x86_att/bignum_tomont_p384.S + cbits/s2n/x86_att/bignum_tomont_p384_alt.S + cbits/s2n/x86_att/bignum_demont_p256.S + cbits/s2n/x86_att/bignum_demont_p256_alt.S + cbits/s2n/x86_att/bignum_neg_p256.S + cbits/s2n/x86_att/bignum_tomont_p256.S + cbits/s2n/x86_att/bignum_tomont_p256_alt.S + cbits/s2n/x86_att/p256_montjadd.S + cbits/s2n/x86_att/p256_montjadd_alt.S + cbits/s2n/x86_att/p256_montjdouble.S + cbits/s2n/x86_att/p256_montjdouble_alt.S + cbits/s2n/x86_att/p256_montjmixadd.S + cbits/s2n/x86_att/p256_montjmixadd_alt.S + cbits/s2n/x86_att/p256_scalarmul.S + cbits/s2n/x86_att/p256_scalarmul_alt.S + cbits/s2n/x86_att/p256_scalarmulbase.S + cbits/s2n/x86_att/p256_scalarmulbase_alt.S + + -- Modular exponentiation at RSA sizes, x86-64 only: on AArch64 + -- crypton's C measures faster than these, so nothing is taken + -- for it. All of them want ADX, which the run-time check in + -- cbits/crypton_powm.c asks about before using any. + asm-sources: + cbits/s2n/x86_att/bignum_emontredc_8n.S + cbits/s2n/x86_att/bignum_kmul_16_32.S + cbits/s2n/x86_att/bignum_kmul_32_64.S + cbits/s2n/x86_att/bignum_ksqr_16_32.S + cbits/s2n/x86_att/bignum_ksqr_32_64.S + cbits/s2n/x86_att/p384_montjscalarmul.S + cbits/s2n/x86_att/p384_montjscalarmul_alt.S + cbits/s2n/x86_att/p521_jscalarmul.S + cbits/s2n/x86_att/p521_jscalarmul_alt.S + if ((flag(support_rdrand) && (arch(i386) || arch(x86_64))) && !os(windows)) cpp-options: -DSUPPORT_RDRAND c-sources: cbits/crypton_rdrand.c other-modules: Crypto.Random.Entropy.RDRand - if ((flag(support_aesni) && ((os(linux) || os(freebsd)) || os(osx))) && (arch(i386) || arch(x86_64))) + if (flag(support_aesni) && arch(aarch64)) + cc-options: -DWITH_ARMV8_CRYPTO + c-sources: + cbits/aes/generic.c + cbits/aes/gf.c + cbits/aes/armv8.c + cbits/crypton_aes.c + + if !flag(use_target_attributes) + cc-options: -march=armv8-a+crypto + + if arch(aarch64) + cc-options: + -DWITH_ARMV8_SHA1 -DWITH_ARMV8_SHA2 -DWITH_ARMV8_SHA3 + -DWITH_ARMV8_SHA512 + -DWITH_ARMV8_NEON + c-sources: + cbits/chacha_neon.c + cbits/sha1_armv8.c + cbits/sha256_armv8.c + cbits/sha3_armv8.c + cbits/sha512_armv8.c + + -- +sha3 covers the SHA-512 instructions as well as the SHA-3 ones, + -- and leaves the baseline at ARMv8-A: it says what the compiler may + -- emit where asked, not what the machine is assumed to have. + if !flag(use_target_attributes) + cc-options: -march=armv8-a+crypto+sha3 + + -- ChaCha20, Poly1305 and SHA-256 from CRYPTOGAMS. ChaCha20 there runs a + -- fifth block through the + -- general registers alongside four in the vector ones -- eight + -- and six above 512 bytes. The vector registers hold four states + -- and no more, so the rest of the parallelism has to come from the + -- integer side, which is a matter of naming registers and so + -- cannot be written in C; Poly1305 there is the whole of the + -- arithmetic, hand-scheduled, and replaces both the C loops; + -- the SHA-1, SHA-256 and Keccak there use the same instructions + -- as the intrinsics do but schedule them across a run of blocks + -- rather than one at a time. See + -- cbits/asm/README.md. Windows on AArch64 is left out: the object + -- format is neither of these two. + if !os(windows) + cc-options: + -DWITH_ARMV8_CHACHA_ASM -DWITH_ARMV8_POLY1305_ASM + -DWITH_ARMV8_SHA1_ASM -DWITH_ARMV8_SHA256_ASM + -DWITH_ARMV8_SHA3_ASM + + if os(osx) + asm-sources: + cbits/asm/chacha-armv8-ios64.S + cbits/asm/poly1305-armv8-ios64.S + cbits/asm/keccak1600-armv8-ios64.S + cbits/asm/sha1-armv8-ios64.S + cbits/asm/sha256-armv8-ios64.S + + else + asm-sources: + cbits/asm/chacha-armv8-linux64.S + cbits/asm/poly1305-armv8-linux64.S + cbits/asm/keccak1600-armv8-linux64.S + cbits/asm/sha1-armv8-linux64.S + cbits/asm/sha256-armv8-linux64.S + + if ((flag(support_aesni) && (((os(linux) || os(freebsd)) || os(osx)) || os(windows))) && (arch(i386) || arch(x86_64))) cc-options: -DWITH_AESNI c-sources: - cbits/aes/x86ni.c cbits/aes/generic.c cbits/aes/gf.c + cbits/aes/x86ni.c cbits/crypton_aes.c if !flag(use_target_attributes) @@ -383,31 +704,75 @@ if !flag(use_target_attributes) cc-options: -msse4.1 -mpclmul - else + -- AES-GCM from CRYPTOGAMS, which interleaves the counter-mode + -- rounds with the multiplies of the block before at + -- instruction granularity. The two do not want the same + -- execution ports, so held against each other they cost about + -- what the rounds alone cost; written in C the compiler sinks + -- every multiply to the end of the group instead. See + -- cbits/asm/README.md. The assembly is x86-64 only, and is + -- checked in per object format since it comes from a + -- generator. + if arch(x86_64) + cc-options: -DWITH_X86_GCM_ASM -DWITH_GCM_FUSED + c-sources: + cbits/aes/gcm_fused_x86.c + -- AES-GCM in the 256-bit form of the same two + -- instructions, two blocks to each, which is worth + -- twice the throughput where the processor has them -- + -- Zen 3 and Ice Lake onwards. Nothing to borrow: the + -- wide AES-GCM in OpenSSL and BoringSSL is Apache-2.0, + -- s2n-bignum has no GCM, and the assembly above is + -- 128-bit throughout. crypton_cpu.c asks the + -- processor before any of it runs. + cbits/aes/gcm_vaes_x86.c + -- and the 512-bit form, four blocks to each, which Ice + -- Lake and Zen 4 onwards have. Same story about + -- borrowing, and the same run-time question -- with + -- three more bits of XCR0 in it, since these need the + -- operating system to save the AVX-512 state. + cbits/aes/gcm_vaes512_x86.c + cbits/aes/gcm_x86_asm.c + + if os(osx) + asm-sources: cbits/asm/aesni-gcm-x86_64-macosx.S + + elif os(windows) + asm-sources: cbits/asm/aesni-gcm-x86_64-mingw64.S + + else + asm-sources: cbits/asm/aesni-gcm-x86_64-elf.S + + -- Neither of the two branches above. This was an `else`, which pairs with + -- the x86 `if` alone and so fired on AArch64 as well, where the ARMv8 + -- branch had already named every file it names. Cabal drops the repeats, + -- so nothing was built twice, but the line read as the fallback for a + -- platform with no AES instructions and was not one. + if !((flag(support_aesni) && arch(aarch64)) || ((flag(support_aesni) && (((os(linux) || os(freebsd)) || os(osx)) || os(windows))) && (arch(i386) || arch(x86_64)))) c-sources: cbits/aes/generic.c cbits/aes/gf.c cbits/crypton_aes.c - if (arch(x86_64) || flag(support_sse)) + if (arch(x86_64) || (flag(support_sse) && arch(i386))) c-sources: - cbits/blake2/sse/blake2s.c - cbits/blake2/sse/blake2sp.c cbits/blake2/sse/blake2b.c cbits/blake2/sse/blake2bp.c + cbits/blake2/sse/blake2s.c + cbits/blake2/sse/blake2sp.c include-dirs: cbits/blake2/sse else c-sources: - cbits/blake2/ref/blake2s-ref.c - cbits/blake2/ref/blake2sp-ref.c cbits/blake2/ref/blake2b-ref.c cbits/blake2/ref/blake2bp-ref.c + cbits/blake2/ref/blake2s-ref.c + cbits/blake2/ref/blake2sp-ref.c include-dirs: cbits/blake2/ref - if (arch(x86_64) || flag(support_sse)) + if (arch(x86_64) || (flag(support_sse) && arch(i386))) cpp-options: -DSUPPORT_SSE if arch(i386) @@ -417,13 +782,13 @@ cpp-options: -DWINDOWS other-modules: Crypto.Random.Entropy.Windows extra-libraries: advapi32 - build-depends: Win32 + build-depends: Win32 <2.15 else other-modules: Crypto.Random.Entropy.Unix if (impl(ghc >=0) && flag(integer-gmp)) - build-depends: integer-gmp + build-depends: integer-gmp <1.2 if flag(support_deepseq) cpp-options: -DWITH_DEEPSEQ_SUPPORT @@ -435,83 +800,94 @@ if flag(use_target_attributes) cc-options: -DWITH_TARGET_ATTRIBUTES + if os(ios) + cpp-options: -DINSECURE_ENTROPY + test-suite test-crypton type: exitcode-stdio-1.0 - main-is: Tests.hs + main-is: Spec.hs hs-source-dirs: tests other-modules: + AFISSpec BlockCipher - ChaCha - BCrypt - BCryptPBKDF - ECC - ECC.Edwards25519 - ECDSA - Hash + BlockCipher.AES.CBC + BlockCipher.AES.CCM + BlockCipher.AES.CTR + BlockCipher.AES.ECB + BlockCipher.AES.GCM + BlockCipher.AES.GCMLong + BlockCipher.AES.OCB3 + BlockCipher.AES.XTS + BlockCipher.AESGCMSIVSpec + BlockCipher.AESSpec + BlockCipher.BlowfishSpec + BlockCipher.CamelliaSpec + BlockCipher.CAST5Spec + BlockCipher.DESSpec + BlockCipher.ModesSpec + BlockCipher.TripleDESSpec + BlockCipher.TwofishSpec + ConstructHash.MiyaguchiPreneelSpec + Curve25519Spec + Curve448Spec + ECC.Edwards25519Spec + ECCSpec + ECDSASpec + Ed25519Spec + Ed448Spec + EdDSASpec + HashSpec Imports - KAT_AES.KATCBC - KAT_AES.KATECB - KAT_AES.KATGCM - KAT_AES.KATCCM - KAT_AES.KATOCB3 - KAT_AES.KATXTS - KAT_AES - KAT_AESGCMSIV - KAT_AFIS - KAT_Argon2 - KAT_Blowfish - KAT_CAST5 - KAT_Camellia - KAT_Curve25519 - KAT_Curve448 - KAT_DES - KAT_Ed25519 - KAT_Ed448 - KAT_EdDSA - KAT_Blake2 - KAT_CMAC - KAT_HKDF - KAT_HMAC - KAT_KMAC - KAT_MiyaguchiPreneel - KAT_PBKDF2 - KAT_OTP - KAT_PubKey.DSA - KAT_PubKey.ECC - KAT_PubKey.ECDSA - KAT_PubKey.OAEP - KAT_PubKey.PSS - KAT_PubKey.P256 - KAT_PubKey.RSA - KAT_PubKey.Rabin - KAT_PubKey - KAT_RC4 - KAT_Scrypt - KAT_TripleDES - KAT_Twofish - ChaChaPoly1305 - Number - Number.F2m - Padding - Poly1305 - Salsa + KDF.Argon2Spec + KDF.BCryptPBKDFSpec + KDF.BCryptSpec + KDF.HKDFSpec + KDF.PBKDF2Spec + KDF.ScryptSpec + MAC.Blake2Spec + MAC.CMACSpec + MAC.HMACSpec + MAC.KMACSpec + MAC.Poly1305Spec + MAC.Poly1305Vectors + Number.F2mSpec + NumberSpec + OTPSpec + PaddingSpec + PubKey.DHSpec + PubKey.DSASpec + PubKey.ECCSpec + PubKey.ECDSASpec + PubKey.ElGamalSpec + PubKey.MGF1Spec + PubKey.OAEPSpec + PubKey.P256Spec + PubKey.PSSSpec + PubKey.RabinSpec + PubKey.SecrecySpec + PubKey.RSASpec + RuntimeSpec + StreamCipher.ChaChaPoly1305Spec + StreamCipher.ChaChaSpec + StreamCipher.RC4Spec + StreamCipher.SalsaSpec + StreamCipher.XSalsaSpec Utils - XSalsa + build-depends: + base >=4.13 && <5, + bytestring, + QuickCheck, + crypton, + hspec, + ram + + build-tool-depends: hspec-discover:hspec-discover + default-language: Haskell2010 ghc-options: -Wall -fno-warn-orphans -fno-warn-missing-signatures -rtsopts - build-depends: - base >=0 && <10, - bytestring, - memory, - tasty, - tasty-quickcheck, - tasty-hunit, - tasty-kat, - crypton - benchmark bench-crypton type: exitcode-stdio-1.0 main-is: Bench.hs @@ -520,10 +896,10 @@ default-language: Haskell2010 ghc-options: -Wall -fno-warn-missing-signatures build-depends: - base, + base >=4.13 && <5, bytestring, + crypton, deepseq, - memory, - gauge, + ram, random, - crypton + tasty-bench diff --git a/tests/AFISSpec.hs b/tests/AFISSpec.hs new file mode 100644 --- /dev/null +++ b/tests/AFISSpec.hs @@ -0,0 +1,103 @@ +{-# LANGUAGE ExistentialQuantification #-} +{-# LANGUAGE OverloadedStrings #-} + +module AFISSpec (spec) where + +import Imports + +import Control.Exception (evaluate) +import qualified Crypto.Data.AFIS as AFIS +import Crypto.Error +import Crypto.Hash +import Crypto.Random +import qualified Data.ByteString as B + +mergeVec :: [(Int, SHA1, B.ByteString, B.ByteString)] +mergeVec = + [ + ( 3 + , SHA1 + , "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\xd4\x76\xc8\x58\xbd\xf0\x15\xbe\x9f\x40\xe3\x65\x20\x1c\x9c\xb8\xd8\x1c\x16\x64" + ) + , + ( 3 + , SHA1 + , "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17" + , "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\xd6\x75\xc8\x59\xbb\xf7\x11\xbb\x95\x4b\xeb\x6c\x2e\x13\x90\xb5\xca\x0f\x06\x75\x17\x70\x39\x28" + ) + ] + +mergeKATs = zipWith toProp mergeVec [(0 :: Int) ..] + where + toProp (nbExpands, hashAlg, expected, dat) i = + it ("merge " ++ show i) (AFIS.merge hashAlg nbExpands dat `shouldBe` expected) + +data AFISParams = AFISParams B.ByteString Int SHA1 ChaChaDRG + +instance Show AFISParams where + show (AFISParams dat expand _ _) = "data: " ++ show dat ++ " expanded: " ++ show expand + +instance Arbitrary AFISParams where + arbitrary = + AFISParams + <$> arbitraryBSof 3 46 + <*> choose (2, 2) + <*> elements [SHA1] + <*> arbitrary + +instance Arbitrary ChaChaDRG where + arbitrary = drgNewTest <$> arbitrary + +-- | Parameters neither function can work with. An expand count of zero used +-- to divide by zero in merge, a negative one reported the data as null, and an +-- expand count of one was accepted and handed the diffused data straight back +-- as though it were the secret -- which is the one that does not announce +-- itself. split already refused all three, so it had nothing to say about a +-- secret of no bytes, which it split into nothing that merge then refused. +invalidParameterTests :: Spec +invalidParameterTests = + describe "invalid parameters" $ do + it "merge refuses an expand count of zero" $ + evaluate (tryMerge 0 diffused) `shouldThrow` refused + it "merge refuses a negative expand count" $ + evaluate (tryMerge (-1) diffused) `shouldThrow` refused + it "merge refuses an expand count of one" $ + evaluate (tryMerge 1 diffused) `shouldThrow` refused + it "merge refuses data that is not a multiple of the expand count" $ + evaluate (tryMerge 3 diffused) `shouldThrow` refused + it "merge refuses empty data" $ + evaluate (tryMerge 4 B.empty) `shouldThrow` refused + it "split refuses an expand count below two" $ do + evaluate (trySplit 0 secret) `shouldThrow` refused + evaluate (trySplit 1 secret) `shouldThrow` refused + evaluate (trySplit (-1) secret) `shouldThrow` refused + it "split refuses an empty secret" $ + evaluate (trySplit 4 B.empty) `shouldThrow` refused + it "the recoverable variants report instead of raising" $ do + AFIS.tryMerge SHA1 0 diffused `shouldBe` failed + AFIS.tryMerge SHA1 1 diffused `shouldBe` failed + AFIS.tryMerge SHA1 3 diffused `shouldBe` failed + AFIS.tryMerge SHA1 4 B.empty `shouldBe` failed + fmap fst (AFIS.trySplit SHA1 rng 1 secret) `shouldBe` failed + fmap fst (AFIS.trySplit SHA1 rng 4 B.empty) `shouldBe` failed + it "the recoverable variants still split and merge" $ do + let d = fmap fst (AFIS.trySplit SHA1 rng 4 secret) + d `shouldBe` CryptoPassed diffused + (d >>= AFIS.tryMerge SHA1 4) `shouldBe` CryptoPassed secret + it "a good split still merges back" $ + AFIS.merge SHA1 4 diffused `shouldBe` secret + where + rng = drgNewTest (1, 2, 3, 4, 5) + secret = "0123456789abcdef0123" :: B.ByteString + diffused = fst (AFIS.split SHA1 rng 4 secret) :: B.ByteString + tryMerge e d = AFIS.merge SHA1 e d :: B.ByteString + trySplit e d = fst (AFIS.split SHA1 rng e d) :: B.ByteString + failed = CryptoFailed CryptoError_ParameterInvalid :: CryptoFailable B.ByteString + refused e = e == CryptoError_ParameterInvalid + +spec :: Spec +spec = do + describe "KAT merge" $ sequence_ mergeKATs + invalidParameterTests + prop "merge.split == id" $ \(AFISParams bs e hf rng) -> bs == (AFIS.merge hf e $ fst (AFIS.split hf rng e bs)) diff --git a/tests/BCrypt.hs b/tests/BCrypt.hs deleted file mode 100644 --- a/tests/BCrypt.hs +++ /dev/null @@ -1,82 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} - -module BCrypt - ( tests - ) -where - -import Crypto.KDF.BCrypt -import qualified Data.ByteString as B -import Imports - --- Openwall bcrypt tests, with 2x versions and 0xFF special cases removed. -expected :: [(ByteString, ByteString)] -expected = - [ ("$2a$05$CCCCCCCCCCCCCCCCCCCCC.E5YPO9kmyuRGyh0XouQYb4YMJKvyOeW", "U*U") - , ("$2a$05$CCCCCCCCCCCCCCCCCCCCC.VGOzA784oUp/Z0DY336zx7pLYAy0lwK", "U*U*") - , ("$2a$05$XXXXXXXXXXXXXXXXXXXXXOAcXxm9kjPGEMsLznoKqmqw7tc8WCx4a", "U*U*U") - , ("$2a$05$abcdefghijklmnopqrstuu5s2v8.iXieOjg/.AySBTTZIIVFJeBui", - "0123456789abcdefghijklmnopqrstuvwxyz\ - \ABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789\ - \chars after 72 are ignored") - , ("$2y$05$/OK.fbVrR/bpIqNJ5ianF.CE5elHaaO4EbggVDjb8P19RukzXSM3e", "\xff\xff\xa3") - , ("$2b$05$/OK.fbVrR/bpIqNJ5ianF.CE5elHaaO4EbggVDjb8P19RukzXSM3e", "\xff\xff\xa3") - , ("$2y$05$/OK.fbVrR/bpIqNJ5ianF.Sa7shbm4.OzKpvFnX1pQLmQW96oUlCq", "\xa3") - , ("$2a$05$/OK.fbVrR/bpIqNJ5ianF.Sa7shbm4.OzKpvFnX1pQLmQW96oUlCq", "\xa3") - , ("$2b$05$/OK.fbVrR/bpIqNJ5ianF.Sa7shbm4.OzKpvFnX1pQLmQW96oUlCq", "\xa3") - , ("$2a$05$/OK.fbVrR/bpIqNJ5ianF.swQOIzjOiJ9GHEPuhEkvqrUyvWhEMx6", - "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\ - \\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\ - \\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\ - \\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\ - \\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\ - \\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\ - \chars after 72 are ignored as usual") - , ("$2a$05$/OK.fbVrR/bpIqNJ5ianF.R9xrDjiycxMbQE2bp.vgqlYpW5wx2yy", - "\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\ - \\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\ - \\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\ - \\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\ - \\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\ - \\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55") - , ("$2a$05$/OK.fbVrR/bpIqNJ5ianF.9tQZzcJfm3uj2NvJ/n5xkhpqLrMpWCe", - "\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\ - \\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\ - \\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\ - \\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\ - \\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\ - \\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff") - , ("$2a$05$CCCCCCCCCCCCCCCCCCCCC.7uG0VCzI2bS7j6ymqJi9CdcdxiRTWNy", "") - , ("$2a$06$DCq7YPn5Rq63x1Lad4cll.TV4S6ytwfsfvkgY8jIucDrjc8deX1s.", "") - , ("$2a$08$HqWuK6/Ng6sg9gQzbLrgb.Tl.ZHfXLhvt/SgVyWhQqgqcZ7ZuUtye", "") - , ("$2a$10$k1wbIrmNyFAPwPVPSVa/zecw2BCEnBwVS2GbrmgzxFUOqW9dk4TCW", "") - , ("$2a$12$k42ZFHFWqBp3vWli.nIn8uYyIkbvYRvodzbfbK18SSsY.CsIQPlxO", "") - , ("$2a$06$m0CrhHm10qJ3lXRY.5zDGO3rS2KdeeWLuGmsfGlMfOxih58VYVfxe", "a") - , ("$2a$08$cfcvVd2aQ8CMvoMpP2EBfeodLEkkFJ9umNEfPD18.hUF62qqlC/V.", "a") - , ("$2a$12$8NJH3LsPrANStV6XtBakCez0cKHXVxmvxIlcz785vxAIZrihHZpeS", "a") - , ("$2a$06$If6bvum7DFjUnE9p2uDeDu0YHzrHM6tf.iqN8.yx.jNN1ILEf7h0i", "abc") - , ("$2a$08$Ro0CUfOqk6cXEKf3dyaM7OhSCvnwM9s4wIX9JeLapehKK5YdLxKcm", "abc") - , ("$2a$10$WvvTPHKwdBJ3uk0Z37EMR.hLA2W6N9AEBhEgrAOljy2Ae5MtaSIUi", "abc") - , ("$2a$06$.rCVZVOThsIa97pEDOxvGuRRgzG64bvtJ0938xuqzv18d3ZpQhstC", "abcdefghijklmnopqrstuvwxyz") - ] - -makeKATs = concatMap maketest (zip3 is passwords hashes) - where - is :: [Int] - is = [1..] - - passwords = map snd expected - hashes = map fst expected - - maketest (i, password, hash) = - [ testCase (show i) (assertBool "" (validatePassword password hash)) - ] - -tests = testGroup "bcrypt" - [ testGroup "KATs" makeKATs - , testCase "Invalid hash length" (assertEqual "" (Left "Invalid hash format") (validatePasswordEither B.empty ("$2a$06$DCq7YPn5Rq63x1Lad4cll.TV4S6ytwfsfvkgY8jIucDrjc8deX1s" :: B.ByteString))) - , testCase "Hash and validate" (assertBool "Hashed password should validate" (validatePassword somePassword (bcrypt 5 aSalt somePassword :: B.ByteString))) - ] - where - somePassword = "some password" :: B.ByteString - aSalt = "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f" :: B.ByteString diff --git a/tests/BCryptPBKDF.hs b/tests/BCryptPBKDF.hs deleted file mode 100644 --- a/tests/BCryptPBKDF.hs +++ /dev/null @@ -1,75 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} - -module BCryptPBKDF (tests) where - -import qualified Data.ByteString as B - -import Test.Tasty -import Test.Tasty.HUnit - -import Crypto.KDF.BCryptPBKDF (Parameters (..), generate, - hashInternal) - -tests :: TestTree -tests = testGroup "BCryptPBKDF" - [ testGroup "generate" - [ testCase "1" generate1 - , testCase "2" generate2 - , testCase "3" generate3 - ] - , testGroup "hashInternal" - [ testCase "1" hashInternal1 - ] - ] - where - -- test vector taken from the go implementation by @dchest - generate1 = expected @=? generate params pass salt - where - params = Parameters 12 32 - pass = "password" :: B.ByteString - salt = "salt" :: B.ByteString - expected = B.pack - [ 0x1a, 0xe4, 0x2c, 0x05, 0xd4, 0x87, 0xbc, 0x02 - , 0xf6, 0x49, 0x21, 0xa4, 0xeb, 0xe4, 0xea, 0x93 - , 0xbc, 0xac, 0xfe, 0x13, 0x5f, 0xda, 0x99, 0x97 - , 0x4c, 0x06, 0xb7, 0xb0, 0x1f, 0xae, 0x14, 0x9a - ] :: B.ByteString - - -- test vector generated with the go implemenation by @dchest - generate2 = expected @=? generate params pass salt - where - params = Parameters 7 71 - pass = "DieWuerdeDesMenschenIstUnantastbar" :: B.ByteString - salt = "Tafelsalz" :: B.ByteString - expected = B.pack - [ 0x17, 0xb4, 0x76, 0xaa, 0xd7, 0x42, 0x33, 0x49 - , 0x5c, 0xe8, 0x79, 0x49, 0x15, 0x74, 0x4c, 0x71 - , 0xf9, 0x99, 0x66, 0x89, 0x7a, 0x60, 0xc3, 0x70 - , 0xb4, 0x3c, 0xa8, 0x83, 0x80, 0x5a, 0x56, 0xde - , 0x38, 0xbc, 0x51, 0x8c, 0xd4, 0xeb, 0xd1, 0xcf - , 0x46, 0x0a, 0x68, 0x3d, 0xc8, 0x12, 0xcf, 0xf8 - , 0x43, 0xce, 0x21, 0x9d, 0x98, 0x81, 0x20, 0x26 - , 0x6e, 0x42, 0x0f, 0xaa, 0x75, 0x5d, 0x09, 0x8d - , 0x45, 0xda, 0xd5, 0x15, 0x6e, 0x65, 0x1d - ] :: B.ByteString - - -- test vector generated with the go implemenation by @dchest - generate3 = expected @=? generate params pass salt - where - params = Parameters 5 5 - pass = "ABC" :: B.ByteString - salt = "DEF" :: B.ByteString - expected = B.pack - [ 0xdd, 0x6e, 0xa0, 0x69, 0x29 - ] :: B.ByteString - - hashInternal1 = expected @=? hashInternal passHash saltHash - where - passHash = B.pack [ 0 .. 63 ] :: B.ByteString - saltHash = B.pack [ 64 .. 127 ] :: B.ByteString - expected = B.pack - [ 0x87, 0x90, 0x48, 0x70, 0xee, 0xf9, 0xde, 0xdd - , 0xf8, 0xe7, 0x61, 0x1a, 0x14, 0x01, 0x06, 0xe6 - , 0xaa, 0xf1, 0xa3, 0x63, 0xd9, 0xa2, 0xc5, 0x04 - , 0xdb, 0x35, 0x64, 0x43, 0x72, 0x1e, 0xb5, 0x55 - ] :: B.ByteString diff --git a/tests/BlockCipher.hs b/tests/BlockCipher.hs --- a/tests/BlockCipher.hs +++ b/tests/BlockCipher.hs @@ -1,24 +1,26 @@ {-# LANGUAGE ViewPatterns #-} -module BlockCipher - ( KAT_ECB(..) - , KAT_CBC(..) - , KAT_CFB(..) - , KAT_CTR(..) - , KAT_XTS(..) - , KAT_AEAD(..) - , KATs(..) - , defaultKATs - , testBlockCipher - , CipherInfo - ) where -import Imports -import Data.Maybe -import Crypto.Error -import Crypto.Cipher.Types -import Data.ByteArray as B hiding (pack, null, length) -import qualified Data.ByteString as B hiding (all, take, replicate) +module BlockCipher ( + KAT_ECB (..), + KAT_CBC (..), + KAT_CFB (..), + KAT_CTR (..), + KAT_XTS (..), + KAT_AEAD (..), + KATs (..), + defaultKATs, + testBlockCipher, + testBlockCipher128, + CipherInfo, +) where +import Crypto.Cipher.Types +import Crypto.Error +import Data.ByteArray as B hiding (length, null, pack) +import qualified Data.ByteString as B hiding (all, replicate, take) +import Data.Maybe +import Imports + ------------------------------------------------------------------------ -- KAT ------------------------------------------------------------------------ @@ -32,115 +34,149 @@ -- | ECB KAT data KAT_ECB = KAT_ECB - { ecbKey :: ByteString -- ^ Key - , ecbPlaintext :: ByteString -- ^ Plaintext - , ecbCiphertext :: ByteString -- ^ Ciphertext - } deriving (Show,Eq) + { ecbKey :: ByteString + -- ^ Key + , ecbPlaintext :: ByteString + -- ^ Plaintext + , ecbCiphertext :: ByteString + -- ^ Ciphertext + } + deriving (Show, Eq) -- | CBC KAT data KAT_CBC = KAT_CBC - { cbcKey :: ByteString -- ^ Key - , cbcIV :: ByteString -- ^ IV - , cbcPlaintext :: ByteString -- ^ Plaintext - , cbcCiphertext :: ByteString -- ^ Ciphertext - } deriving (Show,Eq) + { cbcKey :: ByteString + -- ^ Key + , cbcIV :: ByteString + -- ^ IV + , cbcPlaintext :: ByteString + -- ^ Plaintext + , cbcCiphertext :: ByteString + -- ^ Ciphertext + } + deriving (Show, Eq) -- | CFB KAT data KAT_CFB = KAT_CFB - { cfbKey :: ByteString -- ^ Key - , cfbIV :: ByteString -- ^ IV - , cfbPlaintext :: ByteString -- ^ Plaintext - , cfbCiphertext :: ByteString -- ^ Ciphertext - } deriving (Show,Eq) + { cfbKey :: ByteString + -- ^ Key + , cfbIV :: ByteString + -- ^ IV + , cfbPlaintext :: ByteString + -- ^ Plaintext + , cfbCiphertext :: ByteString + -- ^ Ciphertext + } + deriving (Show, Eq) -- | CTR KAT data KAT_CTR = KAT_CTR - { ctrKey :: ByteString -- ^ Key - , ctrIV :: ByteString -- ^ IV (usually represented as a 128 bits integer) - , ctrPlaintext :: ByteString -- ^ Plaintext - , ctrCiphertext :: ByteString -- ^ Ciphertext - } deriving (Show,Eq) + { ctrKey :: ByteString + -- ^ Key + , ctrIV :: ByteString + -- ^ IV (usually represented as a 128 bits integer) + , ctrPlaintext :: ByteString + -- ^ Plaintext + , ctrCiphertext :: ByteString + -- ^ Ciphertext + } + deriving (Show, Eq) -- | XTS KAT data KAT_XTS = KAT_XTS - { xtsKey1 :: ByteString -- ^ 1st XTS key - , xtsKey2 :: ByteString -- ^ 2nd XTS key - , xtsIV :: ByteString -- ^ XTS IV - , xtsPlaintext :: ByteString -- ^ plaintext - , xtsCiphertext :: ByteString -- ^ Ciphertext - } deriving (Show,Eq) + { xtsKey1 :: ByteString + -- ^ 1st XTS key + , xtsKey2 :: ByteString + -- ^ 2nd XTS key + , xtsIV :: ByteString + -- ^ XTS IV + , xtsPlaintext :: ByteString + -- ^ plaintext + , xtsCiphertext :: ByteString + -- ^ Ciphertext + } + deriving (Show, Eq) -- | AEAD KAT data KAT_AEAD = KAT_AEAD - { aeadMode :: AEADMode - , aeadKey :: ByteString -- ^ Key - , aeadIV :: ByteString -- ^ IV for initialization - , aeadHeader :: ByteString -- ^ Authenticated Header - , aeadPlaintext :: ByteString -- ^ Plaintext - , aeadCiphertext :: ByteString -- ^ Ciphertext - , aeadTaglen :: Int -- ^ aead tag len - , aeadTag :: ByteString -- ^ expected tag - } deriving (Show,Eq) + { aeadMode :: AEADMode + , aeadKey :: ByteString + -- ^ Key + , aeadIV :: ByteString + -- ^ IV for initialization + , aeadHeader :: ByteString + -- ^ Authenticated Header + , aeadPlaintext :: ByteString + -- ^ Plaintext + , aeadCiphertext :: ByteString + -- ^ Ciphertext + , aeadTaglen :: Int + -- ^ aead tag len + , aeadTag :: ByteString + -- ^ expected tag + } + deriving (Show, Eq) -- | all the KATs. use defaultKATs to prevent compilation error -- from future expansion of this data structure data KATs = KATs - { kat_ECB :: [KAT_ECB] - , kat_CBC :: [KAT_CBC] - , kat_CFB :: [KAT_CFB] - , kat_CTR :: [KAT_CTR] - , kat_XTS :: [KAT_XTS] + { kat_ECB :: [KAT_ECB] + , kat_CBC :: [KAT_CBC] + , kat_CFB :: [KAT_CFB] + , kat_CTR :: [KAT_CTR] + , kat_XTS :: [KAT_XTS] , kat_AEAD :: [KAT_AEAD] - } deriving (Show,Eq) + } + deriving (Show, Eq) defaultKATs = KATs [] [] [] [] [] [] {- testECB (_, _, cipherInit) ecbEncrypt ecbDecrypt kats = - testGroup "ECB" (concatMap katTest (zip is kats) {- ++ propTests-}) + describe "ECB" $ mapM_ (katTest (zip is kats) {- ++ propTests-}) where katTest (i,d) = - [ testCase ("E" ++ show i) (ecbEncrypt ctx (ecbPlaintext d) @?= ecbCiphertext d) - , testCase ("D" ++ show i) (ecbDecrypt ctx (ecbCiphertext d) @?= ecbPlaintext d) + [ it ("E" ++ show i) (ecbEncrypt ctx (ecbPlaintext d) `shouldBe` ecbCiphertext d) + , it ("D" ++ show i) (ecbDecrypt ctx (ecbCiphertext d) `shouldBe` ecbPlaintext d) ] where ctx = cipherInit (ecbKey d) - --propTest = testProperty "decrypt.encrypt" (ECBUnit key plaintext) = + --propTest = prop "decrypt.encrypt" (ECBUnit key plaintext) = --testProperty_ECB (ECBUnit (cipherInit -> ctx) (toBytes -> plaintext)) = -- plaintext `assertEq` ecbDecrypt ctx (ecbEncrypt ctx plaintext) testKatCBC cbcInit cbcEncrypt cbcDecrypt (i,d) = - [ testCase ("E" ++ show i) (cbcEncrypt ctx iv (cbcPlaintext d) @?= cbcCiphertext d) - , testCase ("D" ++ show i) (cbcDecrypt ctx iv (cbcCiphertext d) @?= cbcPlaintext d) + [ it ("E" ++ show i) (cbcEncrypt ctx iv (cbcPlaintext d) `shouldBe` cbcCiphertext d) + , it ("D" ++ show i) (cbcDecrypt ctx iv (cbcCiphertext d) `shouldBe` cbcPlaintext d) ] where ctx = cbcInit $ cbcKey d iv = cbcIV d testKatCFB cfbInit cfbEncrypt cfbDecrypt (i,d) = - [ testCase ("E" ++ show i) (cfbEncrypt ctx iv (cfbPlaintext d) @?= cfbCiphertext d) - , testCase ("D" ++ show i) (cfbDecrypt ctx iv (cfbCiphertext d) @?= cfbPlaintext d) + [ it ("E" ++ show i) (cfbEncrypt ctx iv (cfbPlaintext d) `shouldBe` cfbCiphertext d) + , it ("D" ++ show i) (cfbDecrypt ctx iv (cfbCiphertext d) `shouldBe` cfbPlaintext d) ] where ctx = cfbInit $ cfbKey d iv = cfbIV d testKatCTR ctrInit ctrCombine (i,d) = - [ testCase ("E" ++ i) (ctrCombine ctx iv (ctrPlaintext d) @?= ctrCiphertext d) - , testCase ("D" ++ i) (ctrCombine ctx iv (ctrCiphertext d) @?= ctrPlaintext d) + [ it ("E" ++ i) (ctrCombine ctx iv (ctrPlaintext d) `shouldBe` ctrCiphertext d) + , it ("D" ++ i) (ctrCombine ctx iv (ctrCiphertext d) `shouldBe` ctrPlaintext d) ] where ctx = ctrInit $ ctrKey d iv = ctrIV d testKatXTS xtsInit xtsEncrypt xtsDecrypt (i,d) = - [ testCase ("E" ++ i) (xtsEncrypt ctx iv 0 (xtsPlaintext d) @?= xtsCiphertext d) - , testCase ("D" ++ i) (xtsDecrypt ctx iv 0 (xtsCiphertext d) @?= xtsPlaintext d) + [ it ("E" ++ i) (xtsEncrypt ctx iv 0 (xtsPlaintext d) `shouldBe` xtsCiphertext d) + , it ("D" ++ i) (xtsDecrypt ctx iv 0 (xtsCiphertext d) `shouldBe` xtsPlaintext d) ] where ctx = xtsInit (xtsKey1 d, xtsKey2 d) iv = xtsIV d testKatAEAD cipherInit aeadInit aeadAppendHeader aeadEncrypt aeadDecrypt aeadFinalize (i,d) = - [ testCase ("AE" ++ i) (etag @?= aeadTag d) - , testCase ("AD" ++ i) (dtag @?= aeadTag d) - , testCase ("E" ++ i) (ebs @?= aeadCiphertext d) - , testCase ("D" ++ i) (dbs @?= aeadPlaintext d) + [ it ("AE" ++ i) (etag `shouldBe` aeadTag d) + , it ("AD" ++ i) (dtag `shouldBe` aeadTag d) + , it ("E" ++ i) (ebs `shouldBe` aeadCiphertext d) + , it ("D" ++ i) (dbs `shouldBe` aeadPlaintext d) ] where ctx = cipherInit $ aeadKey d (Just aead) = aeadInit ctx (aeadIV d) @@ -151,90 +187,84 @@ dtag = aeadFinalize aeadDFinal (aeadTaglen d) -} -testKATs :: BlockCipher cipher - => KATs - -> cipher - -> TestTree -testKATs kats cipher = testGroup "KAT" - ( maybeGroup makeECBTest "ECB" (kat_ECB kats) - ++ maybeGroup makeCBCTest "CBC" (kat_CBC kats) - ++ maybeGroup makeCFBTest "CFB" (kat_CFB kats) - ++ maybeGroup makeCTRTest "CTR" (kat_CTR kats) - -- ++ maybeGroup makeXTSTest "XTS" (kat_XTS kats) - ++ maybeGroup makeAEADTest "AEAD" (kat_AEAD kats) - ) - where makeECBTest i d = - [ testCase ("E" ++ i) (ecbEncrypt ctx (ecbPlaintext d) @?= ecbCiphertext d) - , testCase ("D" ++ i) (ecbDecrypt ctx (ecbCiphertext d) @?= ecbPlaintext d) - ] - where ctx = cipherInitNoErr (cipherMakeKey cipher $ ecbKey d) - makeCBCTest i d = - [ testCase ("E" ++ i) (cbcEncrypt ctx iv (cbcPlaintext d) @?= cbcCiphertext d) - , testCase ("D" ++ i) (cbcDecrypt ctx iv (cbcCiphertext d) @?= cbcPlaintext d) - ] - where ctx = cipherInitNoErr (cipherMakeKey cipher $ cbcKey d) - iv = cipherMakeIV cipher $ cbcIV d - makeCFBTest i d = - [ testCase ("E" ++ i) (cfbEncrypt ctx iv (cfbPlaintext d) @?= cfbCiphertext d) - , testCase ("D" ++ i) (cfbDecrypt ctx iv (cfbCiphertext d) @?= cfbPlaintext d) - ] - where ctx = cipherInitNoErr (cipherMakeKey cipher $ cfbKey d) - iv = cipherMakeIV cipher $ cfbIV d - makeCTRTest i d = - [ testCase ("E" ++ i) (ctrCombine ctx iv (ctrPlaintext d) @?= ctrCiphertext d) - , testCase ("D" ++ i) (ctrCombine ctx iv (ctrCiphertext d) @?= ctrPlaintext d) - ] - where ctx = cipherInitNoErr (cipherMakeKey cipher $ ctrKey d) - iv = cipherMakeIV cipher $ ctrIV d -{- - makeXTSTest i d = - [ testCase ("E" ++ i) (xtsEncrypt ctx iv 0 (xtsPlaintext d) @?= xtsCiphertext d) - , testCase ("D" ++ i) (xtsDecrypt ctx iv 0 (xtsCiphertext d) @?= xtsPlaintext d) - ] - where ctx1 = cipherInitNoErr (cipherMakeKey cipher $ xtsKey1 d) - ctx2 = cipherInitNoErr (cipherMakeKey cipher $ xtsKey2 d) - ctx = (ctx1, ctx2) - iv = cipherMakeIV cipher $ xtsIV d --} - makeAEADTest i d = - [ testCase ("AE" ++ i) (etag @?= AuthTag (B.convert (aeadTag d))) - , testCase ("AD" ++ i) (dtag @?= AuthTag (B.convert (aeadTag d))) - , testCase ("E" ++ i) (ebs @?= aeadCiphertext d) - , testCase ("D" ++ i) (dbs @?= aeadPlaintext d) - ] - where ctx = cipherInitNoErr (cipherMakeKey cipher $ aeadKey d) - aead = aeadInitNoErr (aeadMode d) ctx (aeadIV d) - aeadHeaded = aeadAppendHeader aead (aeadHeader d) - (ebs,aeadEFinal) = aeadEncrypt aeadHeaded (aeadPlaintext d) - (dbs,aeadDFinal) = aeadDecrypt aeadHeaded (aeadCiphertext d) - etag = aeadFinalize aeadEFinal (aeadTaglen d) - dtag = aeadFinalize aeadDFinal (aeadTaglen d) +testKATs + :: BlockCipher cipher + => KATs + -> cipher + -> Spec +testKATs kats cipher = describe "KAT" $ do + maybeGroup makeECBTest "ECB" (kat_ECB kats) + maybeGroup makeCBCTest "CBC" (kat_CBC kats) + maybeGroup makeCFBTest "CFB" (kat_CFB kats) + maybeGroup makeCTRTest "CTR" (kat_CTR kats) + -- XTS needs a 128-bit block, so testBlockCipher128 runs kat_XTS + maybeGroup makeAEADTest "AEAD" (kat_AEAD kats) + where + makeECBTest i d = do + it ("E" ++ i) (ecbEncrypt ctx (ecbPlaintext d) `shouldBe` ecbCiphertext d) + it ("D" ++ i) (ecbDecrypt ctx (ecbCiphertext d) `shouldBe` ecbPlaintext d) + where + ctx = cipherInitNoErr (cipherMakeKey cipher $ ecbKey d) + makeCBCTest i d = do + it ("E" ++ i) (cbcEncrypt ctx iv (cbcPlaintext d) `shouldBe` cbcCiphertext d) + it ("D" ++ i) (cbcDecrypt ctx iv (cbcCiphertext d) `shouldBe` cbcPlaintext d) + where + ctx = cipherInitNoErr (cipherMakeKey cipher $ cbcKey d) + iv = cipherMakeIV cipher $ cbcIV d + makeCFBTest i d = do + it ("E" ++ i) (cfbEncrypt ctx iv (cfbPlaintext d) `shouldBe` cfbCiphertext d) + it ("D" ++ i) (cfbDecrypt ctx iv (cfbCiphertext d) `shouldBe` cfbPlaintext d) + where + ctx = cipherInitNoErr (cipherMakeKey cipher $ cfbKey d) + iv = cipherMakeIV cipher $ cfbIV d + makeCTRTest i d = do + it ("E" ++ i) (ctrCombine ctx iv (ctrPlaintext d) `shouldBe` ctrCiphertext d) + it ("D" ++ i) (ctrCombine ctx iv (ctrCiphertext d) `shouldBe` ctrPlaintext d) + where + ctx = cipherInitNoErr (cipherMakeKey cipher $ ctrKey d) + iv = cipherMakeIV cipher $ ctrIV d + makeAEADTest i d = do + it ("AE" ++ i) (etag `shouldBe` AuthTag (B.convert (aeadTag d))) + it ("AD" ++ i) (dtag `shouldBe` AuthTag (B.convert (aeadTag d))) + it ("E" ++ i) (ebs `shouldBe` aeadCiphertext d) + it ("D" ++ i) (dbs `shouldBe` aeadPlaintext d) + where + ctx = cipherInitNoErr (cipherMakeKey cipher $ aeadKey d) + aead = aeadInitNoErr (aeadMode d) ctx (aeadIV d) + aeadHeaded = aeadAppendHeader aead (aeadHeader d) + (ebs, aeadEFinal) = aeadEncrypt aeadHeaded (aeadPlaintext d) + (dbs, aeadDFinal) = aeadDecrypt aeadHeaded (aeadCiphertext d) + etag = aeadFinalize aeadEFinal (aeadTaglen d) + dtag = aeadFinalize aeadDFinal (aeadTaglen d) - cipherInitNoErr :: BlockCipher c => Key c -> c - cipherInitNoErr (Key k) = - case cipherInit k of - CryptoPassed a -> a - CryptoFailed e -> error (show e) + cipherInitNoErr :: BlockCipher c => Key c -> c + cipherInitNoErr (Key k) = + case cipherInit k of + CryptoPassed a -> a + CryptoFailed e -> error (show e) - aeadInitNoErr :: (ByteArrayAccess iv, BlockCipher cipher) => AEADMode -> cipher -> iv -> AEAD cipher - aeadInitNoErr mode ct iv = - case aeadInit mode ct iv of - CryptoPassed a -> a - CryptoFailed _ -> error $ "cipher doesn't support aead mode: " ++ show mode + aeadInitNoErr + :: (ByteArrayAccess iv, BlockCipher cipher) + => AEADMode -> cipher -> iv -> AEAD cipher + aeadInitNoErr mode ct iv = + case aeadInit mode ct iv of + CryptoPassed a -> a + CryptoFailed _ -> error $ "cipher doesn't support aead mode: " ++ show mode + ------------------------------------------------------------------------ -- Properties ------------------------------------------------------------------------ -- | any sized bytestring -newtype Plaintext a = Plaintext { unPlaintext :: B.ByteString } - deriving (Show,Eq) +newtype Plaintext a = Plaintext {unPlaintext :: B.ByteString} + deriving (Show, Eq) -- | A multiple of blocksize bytestring -newtype PlaintextBS a = PlaintextBS { unPlaintextBS :: B.ByteString } - deriving (Show,Eq) +newtype PlaintextBS a = PlaintextBS {unPlaintextBS :: B.ByteString} + deriving (Show, Eq) newtype Key a = Key ByteString - deriving (Show,Eq) + deriving (Show, Eq) -- | a ECB unit test data ECBUnit a = ECBUnit (Key a) (PlaintextBS a) @@ -279,154 +309,198 @@ instance Show (CTRUnit a) where show (CTRUnit key iv b) = "CTR(key=" ++ show key ++ ",iv=" ++ show iv ++ ",input=" ++ show b ++ ")" instance Show (XTSUnit a) where - show (XTSUnit key1 key2 iv b) = "XTS(key1=" ++ show key1 ++ ",key2=" ++ show key2 ++ ",iv=" ++ show iv ++ ",input=" ++ show b ++ ")" + show (XTSUnit key1 key2 iv b) = + "XTS(key1=" + ++ show key1 + ++ ",key2=" + ++ show key2 + ++ ",iv=" + ++ show iv + ++ ",input=" + ++ show b + ++ ")" instance Show (AEADUnit a) where - show (AEADUnit key iv aad b) = "AEAD(key=" ++ show key ++ ",iv=" ++ show iv ++ ",aad=" ++ show (unPlaintext aad) ++ ",input=" ++ show b ++ ")" + show (AEADUnit key iv aad b) = + "AEAD(key=" + ++ show key + ++ ",iv=" + ++ show iv + ++ ",aad=" + ++ show (unPlaintext aad) + ++ ",input=" + ++ show b + ++ ")" instance Show (StreamUnit a) where show (StreamUnit key b) = "Stream(key=" ++ show key ++ ",input=" ++ show b ++ ")" -- | Generate an arbitrary valid key for a specific block cipher generateKey :: Cipher a => Gen (Key a) generateKey = keyFromCipher undefined - where keyFromCipher :: Cipher a => a -> Gen (Key a) - keyFromCipher cipher = do - sz <- case cipherKeySize cipher of - KeySizeRange low high -> choose (low, high) - KeySizeFixed v -> return v - KeySizeEnum l -> elements l - Key . B.pack <$> replicateM sz arbitrary + where + keyFromCipher :: Cipher a => a -> Gen (Key a) + keyFromCipher cipher = do + sz <- case cipherKeySize cipher of + KeySizeRange low high -> choose (low, high) + KeySizeFixed v -> return v + KeySizeEnum l -> elements l + Key . B.pack <$> replicateM sz arbitrary -- | Generate an arbitrary valid IV for a specific block cipher generateIv :: BlockCipher a => Gen (IV a) generateIv = ivFromCipher undefined - where ivFromCipher :: BlockCipher a => a -> Gen (IV a) - ivFromCipher cipher = fromJust . makeIV . B.pack <$> replicateM (blockSize cipher) arbitrary + where + ivFromCipher :: BlockCipher a => a -> Gen (IV a) + ivFromCipher cipher = fromJust . makeIV . B.pack <$> replicateM (blockSize cipher) arbitrary -- | Generate an arbitrary valid IV for AEAD for a specific block cipher generateIvAEAD :: Gen B.ByteString -generateIvAEAD = choose (12,90) >>= \sz -> (B.pack <$> replicateM sz arbitrary) +generateIvAEAD = choose (12, 90) >>= \sz -> (B.pack <$> replicateM sz arbitrary) -- | Generate a plaintext multiple of blocksize bytes generatePlaintextMultipleBS :: BlockCipher a => Gen (PlaintextBS a) -generatePlaintextMultipleBS = choose (1,128) >>= \size -> replicateM (size * 16) arbitrary >>= return . PlaintextBS . B.pack +generatePlaintextMultipleBS = + choose (1, 128) >>= \size -> replicateM (size * 16) arbitrary >>= return . PlaintextBS . B.pack -- | Generate any sized plaintext generatePlaintext :: Gen (Plaintext a) -generatePlaintext = choose (0,324) >>= \size -> replicateM size arbitrary >>= return . Plaintext . B.pack +generatePlaintext = + choose (0, 324) >>= \size -> replicateM size arbitrary >>= return . Plaintext . B.pack instance BlockCipher a => Arbitrary (ECBUnit a) where - arbitrary = ECBUnit <$> generateKey - <*> generatePlaintextMultipleBS + arbitrary = + ECBUnit + <$> generateKey + <*> generatePlaintextMultipleBS instance BlockCipher a => Arbitrary (CBCUnit a) where - arbitrary = CBCUnit <$> generateKey - <*> generateIv - <*> generatePlaintextMultipleBS + arbitrary = + CBCUnit + <$> generateKey + <*> generateIv + <*> generatePlaintextMultipleBS instance BlockCipher a => Arbitrary (CFBUnit a) where - arbitrary = CFBUnit <$> generateKey - <*> generateIv - <*> generatePlaintextMultipleBS + arbitrary = + CFBUnit + <$> generateKey + <*> generateIv + <*> generatePlaintextMultipleBS instance BlockCipher a => Arbitrary (CFB8Unit a) where arbitrary = CFB8Unit <$> generateKey <*> generateIv <*> generatePlaintext instance BlockCipher a => Arbitrary (CTRUnit a) where - arbitrary = CTRUnit <$> generateKey - <*> generateIv - <*> generatePlaintext + arbitrary = + CTRUnit + <$> generateKey + <*> generateIv + <*> generatePlaintext instance BlockCipher a => Arbitrary (XTSUnit a) where - arbitrary = XTSUnit <$> generateKey - <*> generateKey - <*> generateIv - <*> generatePlaintextMultipleBS + arbitrary = + XTSUnit + <$> generateKey + <*> generateKey + <*> generateIv + <*> generatePlaintextMultipleBS instance BlockCipher a => Arbitrary (AEADUnit a) where - arbitrary = AEADUnit <$> generateKey - <*> generateIvAEAD - <*> generatePlaintext - <*> generatePlaintext + arbitrary = + AEADUnit + <$> generateKey + <*> generateIvAEAD + <*> generatePlaintext + <*> generatePlaintext instance StreamCipher a => Arbitrary (StreamUnit a) where - arbitrary = StreamUnit <$> generateKey - <*> generatePlaintext + arbitrary = + StreamUnit + <$> generateKey + <*> generatePlaintext -testBlockCipherBasic :: BlockCipher a => a -> [TestTree] -testBlockCipherBasic cipher = [ testProperty "ECB" ecbProp ] - where ecbProp = toTests cipher - toTests :: BlockCipher a => a -> (ECBUnit a -> Bool) - toTests _ = testProperty_ECB - testProperty_ECB (ECBUnit key (unPlaintextBS -> plaintext)) = withCtx key $ \ctx -> - plaintext `assertEq` ecbDecrypt ctx (ecbEncrypt ctx plaintext) +testBlockCipherBasic :: BlockCipher a => a -> Spec +testBlockCipherBasic cipher = prop "ECB" ecbProp + where + ecbProp = toTests cipher + toTests :: BlockCipher a => a -> (ECBUnit a -> Bool) + toTests _ = testProperty_ECB + testProperty_ECB (ECBUnit key (unPlaintextBS -> plaintext)) = withCtx key $ \ctx -> + plaintext `assertEq` ecbDecrypt ctx (ecbEncrypt ctx plaintext) -testBlockCipherModes :: BlockCipher a => a -> [TestTree] -testBlockCipherModes cipher = - [ testProperty "CBC" cbcProp - , testProperty "CFB" cfbProp - --, testProperty "CFB8" cfb8Prop - , testProperty "CTR" ctrProp - ] - where (cbcProp,cfbProp,ctrProp) = toTests cipher - toTests :: BlockCipher a - => a - -> ((CBCUnit a -> Bool), (CFBUnit a -> Bool), {-(CFB8Unit a -> Bool),-} (CTRUnit a -> Bool)) - toTests _ = (testProperty_CBC - ,testProperty_CFB - --,testProperty_CFB8 - ,testProperty_CTR - ) - testProperty_CBC (CBCUnit key testIV (unPlaintextBS -> plaintext)) = withCtx key $ \ctx -> - plaintext `assertEq` cbcDecrypt ctx testIV (cbcEncrypt ctx testIV plaintext) +testBlockCipherModes :: BlockCipher a => a -> Spec +testBlockCipherModes cipher = do + prop "CBC" cbcProp + prop "CFB" cfbProp + -- prop "CFB8" cfb8Prop + prop "CTR" ctrProp + where + (cbcProp, cfbProp, ctrProp) = toTests cipher + toTests + :: BlockCipher a + => a + -> ( (CBCUnit a -> Bool) + , (CFBUnit a -> Bool {-(CFB8Unit a -> Bool),-}) + , (CTRUnit a -> Bool) + ) + toTests _ = + ( testProperty_CBC + , testProperty_CFB + , -- ,testProperty_CFB8 + testProperty_CTR + ) + testProperty_CBC (CBCUnit key testIV (unPlaintextBS -> plaintext)) = withCtx key $ \ctx -> + plaintext `assertEq` cbcDecrypt ctx testIV (cbcEncrypt ctx testIV plaintext) - testProperty_CFB (CFBUnit key testIV (unPlaintextBS -> plaintext)) = withCtx key $ \ctx -> - plaintext `assertEq` cfbDecrypt ctx testIV (cfbEncrypt ctx testIV plaintext) + testProperty_CFB (CFBUnit key testIV (unPlaintextBS -> plaintext)) = withCtx key $ \ctx -> + plaintext `assertEq` cfbDecrypt ctx testIV (cfbEncrypt ctx testIV plaintext) -{- - testProperty_CFB8 (CFB8Unit (cipherInit -> ctx) testIV (unPlaintext -> plaintext)) = - plaintext `assertEq` cfb8Decrypt ctx testIV (cfb8Encrypt ctx testIV plaintext) --} + {- + testProperty_CFB8 (CFB8Unit (cipherInit -> ctx) testIV (unPlaintext -> plaintext)) = + plaintext `assertEq` cfb8Decrypt ctx testIV (cfb8Encrypt ctx testIV plaintext) + -} - testProperty_CTR (CTRUnit key testIV (unPlaintext -> plaintext)) = withCtx key $ \ctx -> - plaintext `assertEq` ctrCombine ctx testIV (ctrCombine ctx testIV plaintext) + testProperty_CTR (CTRUnit key testIV (unPlaintext -> plaintext)) = withCtx key $ \ctx -> + plaintext `assertEq` ctrCombine ctx testIV (ctrCombine ctx testIV plaintext) -testBlockCipherAEAD :: BlockCipher a => a -> [TestTree] -testBlockCipherAEAD cipher = - [ testProperty "OCB" (aeadProp AEAD_OCB) - , testProperty "CCM" (aeadProp (AEAD_CCM 0 CCM_M16 CCM_L2)) - , testProperty "EAX" (aeadProp AEAD_EAX) - , testProperty "CWC" (aeadProp AEAD_CWC) - , testProperty "GCM" (aeadProp AEAD_GCM) - ] - where aeadProp = toTests cipher - toTests :: BlockCipher a => a -> (AEADMode -> AEADUnit a -> Bool) - toTests _ = testProperty_AEAD - testProperty_AEAD mode (AEADUnit key testIV (unPlaintext -> aad) (unPlaintext -> plaintext)) = withCtx key $ \ctx -> - case aeadInit mode' ctx iv' of - CryptoPassed iniAead -> - let aead = aeadAppendHeader iniAead aad - (eText, aeadE) = aeadEncrypt aead plaintext - (dText, aeadD) = aeadDecrypt aead eText - eTag = aeadFinalize aeadE (blockSize ctx) - dTag = aeadFinalize aeadD (blockSize ctx) - in (plaintext `assertEq` dText) && (eTag `B.eq` dTag) - CryptoFailed err - | err == CryptoError_AEADModeNotSupported -> True - | otherwise -> error ("testProperty_AEAD: " ++ show err) - where (mode', iv') = updateCcmInputSize mode (B.length plaintext) testIV - updateCcmInputSize aeadmode k iv = case aeadmode of - AEAD_CCM _ m l -> (AEAD_CCM k m l, B.take 13 (iv <> (B.replicate 15 0))) - aeadOther -> (aeadOther, iv) +testBlockCipherAEAD :: BlockCipher a => a -> Spec +testBlockCipherAEAD cipher = do + prop "OCB" (aeadProp AEAD_OCB) + prop "CCM" (aeadProp (AEAD_CCM 0 CCM_M16 CCM_L2)) + prop "EAX" (aeadProp AEAD_EAX) + prop "CWC" (aeadProp AEAD_CWC) + prop "GCM" (aeadProp AEAD_GCM) + where + aeadProp = toTests cipher + toTests :: BlockCipher a => a -> (AEADMode -> AEADUnit a -> Bool) + toTests _ = testProperty_AEAD + testProperty_AEAD mode (AEADUnit key testIV (unPlaintext -> aad) (unPlaintext -> plaintext)) = withCtx key $ \ctx -> + case aeadInit mode' ctx iv' of + CryptoPassed iniAead -> + let aead = aeadAppendHeader iniAead aad + (eText, aeadE) = aeadEncrypt aead plaintext + (dText, aeadD) = aeadDecrypt aead eText + eTag = aeadFinalize aeadE (blockSize ctx) + dTag = aeadFinalize aeadD (blockSize ctx) + in (plaintext `assertEq` dText) && (eTag `B.eq` dTag) + CryptoFailed err + | err == CryptoError_AEADModeNotSupported -> True + | otherwise -> + error ("testProperty_AEAD: " ++ show err) + where + (mode', iv') = updateCcmInputSize mode (B.length plaintext) testIV + updateCcmInputSize aeadmode k iv = case aeadmode of + AEAD_CCM _ m l -> (AEAD_CCM k m l, B.take 13 (iv <> (B.replicate 15 0))) + aeadOther -> (aeadOther, iv) withCtx :: Cipher c => Key c -> (c -> a) -> a withCtx (Key key) f = case cipherInit key of - CryptoFailed e -> error ("init failed: " ++ show e) + CryptoFailed e -> error ("init failed: " ++ show e) CryptoPassed ctx -> f ctx {- -testBlockCipherXTS :: BlockCipher a => a -> [TestTree] -testBlockCipherXTS cipher = [testProperty "XTS" xtsProp] +testBlockCipherXTS :: BlockCipher a => a -> [Spec] +testBlockCipherXTS cipher = [prop "XTS" xtsProp] where xtsProp = toTests cipher toTests :: BlockCipher a => a -> (XTSUnit a -> Bool) toTests _ = testProperty_XTS @@ -438,22 +512,21 @@ -- | Test a generic block cipher for properties -- related to block cipher modes. -testModes :: BlockCipher a => a -> [TestTree] +testModes :: BlockCipher a => a -> Spec testModes cipher = - [ testGroup "decrypt.encrypt==id" --- (testBlockCipherBasic cipher ++ testBlockCipherModes cipher ++ testBlockCipherAEAD cipher ++ testBlockCipherXTS cipher) - (testBlockCipherBasic cipher ++ testBlockCipherModes cipher ++ testBlockCipherAEAD cipher) - ] + describe "decrypt.encrypt==id" $ do + testBlockCipherBasic cipher + testBlockCipherModes cipher + testBlockCipherAEAD cipher -- | Test IV arithmetic (based on the cipher block size) -testIvArith :: BlockCipher a => a -> [TestTree] -testIvArith cipher = - [ testCase "nullIV is null" $ - True @=? B.all (== 0) (ivNull cipher) - , testProperty "ivAdd is linear" $ \a b -> do - iv <- generateIvFromCipher cipher - return $ ivAdd iv (a + b) `propertyEq` ivAdd (ivAdd iv a) b - ] +testIvArith :: BlockCipher a => a -> Spec +testIvArith cipher = do + it "nullIV is null" $ + B.all (== 0) (ivNull cipher) `shouldBe` True + prop "ivAdd is linear" $ \a b -> do + iv <- generateIvFromCipher cipher + return $ ivAdd iv (a + b) `propertyEq` ivAdd (ivAdd iv a) b where ivNull :: BlockCipher a => a -> IV a ivNull = const nullIV @@ -464,25 +537,57 @@ let n = blockSize c i <- choose (0, n) let zeros = Prelude.replicate (n - i) 0x00 - ones = Prelude.replicate i 0xFF + ones = Prelude.replicate i 0xFF return $ cipherMakeIV c (B.pack $ zeros ++ ones) -- | Return tests for a specific blockcipher and a list of KATs -testBlockCipher :: BlockCipher a => KATs -> a -> TestTree -testBlockCipher kats cipher = testGroup (cipherName cipher) - ( (if kats == defaultKATs then [] else [testKATs kats cipher]) - ++ testModes cipher ++ testIvArith cipher - ) +testBlockCipher :: BlockCipher a => KATs -> a -> Spec +testBlockCipher = testBlockCipherWith (return ()) +-- | The same for a cipher with a 128-bit block, whose KATs may include XTS. +-- The mode is defined only for that block size, so its vectors cannot run +-- from 'testBlockCipher', which promises nothing about the size -- which is +-- how they came to sit in the tree unused. +testBlockCipher128 :: BlockCipher128 a => KATs -> a -> Spec +testBlockCipher128 kats cipher = + testBlockCipherWith + (maybeGroup (makeXTSTest cipher) "XTS" (kat_XTS kats)) + kats + cipher + +testBlockCipherWith :: BlockCipher a => Spec -> KATs -> a -> Spec +testBlockCipherWith extra kats cipher = + describe (cipherName cipher) $ do + unless (kats == defaultKATs) $ testKATs kats cipher + extra + testModes cipher + testIvArith cipher + +makeXTSTest :: BlockCipher128 cipher => cipher -> String -> KAT_XTS -> Spec +makeXTSTest cipher i d = do + it ("E" ++ i) (xtsEncrypt ctx iv 0 (xtsPlaintext d) `shouldBe` xtsCiphertext d) + it ("D" ++ i) (xtsDecrypt ctx iv 0 (xtsCiphertext d) `shouldBe` xtsPlaintext d) + where + ctx = (keyed (xtsKey1 d), keyed (xtsKey2 d)) + iv = cipherMakeIV cipher (xtsIV d) + + keyed :: BlockCipher c => ByteString -> c + keyed k = + case cipherInit k of + CryptoPassed a -> a + CryptoFailed e -> error (show e) + cipherMakeKey :: Cipher cipher => cipher -> ByteString -> Key cipher cipherMakeKey _ bs = Key bs cipherMakeIV :: BlockCipher cipher => cipher -> ByteString -> IV cipher cipherMakeIV _ bs = fromJust $ makeIV bs -maybeGroup :: (String -> t -> [TestTree]) -> TestName -> [t] -> [TestTree] +maybeGroup :: (String -> t -> Spec) -> String -> [t] -> Spec maybeGroup mkTest groupName l - | null l = [] - | otherwise = [testGroup groupName (concatMap (\(i, d) -> mkTest (show i) d) $ zip nbs l)] - where nbs :: [Int] - nbs = [0..] + | null l = return () + | otherwise = + describe groupName $ mapM_ (\(i, d) -> mkTest (show i) d) (zip nbs l) + where + nbs :: [Int] + nbs = [0 ..] diff --git a/tests/BlockCipher/AES/CBC.hs b/tests/BlockCipher/AES/CBC.hs new file mode 100644 --- /dev/null +++ b/tests/BlockCipher/AES/CBC.hs @@ -0,0 +1,460 @@ +{-# LANGUAGE OverloadedStrings #-} + +module BlockCipher.AES.CBC where + +import qualified Data.ByteString as B +import Data.ByteString.Char8 () + +type KATCBC = (B.ByteString, B.ByteString, B.ByteString, B.ByteString) + +vectors_aes128_enc + , vectors_aes128_dec + , vectors_aes192_enc + , vectors_aes192_dec + , vectors_aes256_enc + , vectors_aes256_dec + :: [KATCBC] +vectors_aes128_enc = + [ + ( "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x66\xe9\x4b\xd4\xef\x8a\x2c\x3b\x88\x4c\xfa\x59\xca\x34\x2b\x2e" + ) + , + ( "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\xb6\xae\xaf\xfa\x75\x2d\xc0\x8b\x51\x63\x97\x31\x76\x1a\xed\x00" + ) + , + ( "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\xcb\x64\xcf\x3f\x42\x2a\xe8\x4b\xb9\x0e\x3a\xb4\xdb\xa7\xbd\x86" + ) + , + ( "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\xe5\xb5\x07\x7f\x93\x46\x46\x2c\x62\xa0\x75\xc0\xc7\x08\xee\x96" + ) + , + ( "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\xe1\x4d\x5d\x0e\xe2\x77\x15\xdf\x08\xb4\x15\x2b\xa2\x3d\xa8\xe0" + ) + , + ( "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x5e\x77\xe5\x9f\x8f\x85\x94\x34\x89\xa2\x41\x49\xc7\x5f\x4e\xc9" + ) + , + ( "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x8f\x42\xc2\x4b\xee\x6e\x63\x47\x2b\x16\x5a\xa9\x41\x31\x2f\x7c" + ) + , + ( "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\xb0\xea\x4a\xc0\xd2\x5c\xcd\x7c\x82\xcb\x8a\x30\x68\xc6\xfe\x2e" + ) + , + ( "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\xe1\x4d\x5d\x0e\xe2\x77\x15\xdf\x08\xb4\x15\x2b\xa2\x3d\xa8\xe0" + ) + , + ( "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x17\xd6\x14\xf3\x79\xa9\x35\x90\x77\xe9\x55\x77\xfd\x31\xc2\x0a" + ) + , + ( "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x8f\x42\xc2\x4b\xee\x6e\x63\x47\x2b\x16\x5a\xa9\x41\x31\x2f\x7c" + ) + , + ( "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\xe5\xb5\x07\x7f\x93\x46\x46\x2c\x62\xa0\x75\xc0\xc7\x08\xee\x96" + ) + ] +vectors_aes192_enc = + [ + ( "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\xaa\xe0\x69\x92\xac\xbf\x52\xa3\xe8\xf4\xa9\x6e\xc9\x30\x0b\xd7" + ) + , + ( "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x5f\x88\xef\x3f\xbd\xeb\xf2\xe4\xe2\x66\x65\x12\xd3\xbc\xb7\x0f" + ) + , + ( "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\xdb\x42\xf5\x1c\xd2\x0e\xca\xd2\x9e\xb0\x13\x2b\x0f\xaa\x4b\x85" + ) + , + ( "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\xda\xb4\x01\x5f\x98\x70\x25\xeb\xb8\xa8\x5f\x3c\x7f\x73\x70\x19" + ) + , + ( "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\xcf\x1e\xce\x3c\x44\xb0\x78\xfb\x27\xcb\x0a\x3e\x07\x1b\x08\x20" + ) + , + ( "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x98\xb8\x95\xa1\x45\xca\x4e\x0b\xf8\x3e\x69\x32\x81\xc1\xa0\x97" + ) + , + ( "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\xf2\xf0\xae\xd8\xcd\xc9\x21\xca\x4b\x55\x84\x5d\xa4\x15\x21\xc2" + ) + , + ( "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x5e\xea\x4b\x13\xdd\xd9\x17\x12\xb0\x14\xe2\x82\x2d\x18\x76\xfb" + ) + , + ( "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\xcf\x1e\xce\x3c\x44\xb0\x78\xfb\x27\xcb\x0a\x3e\x07\x1b\x08\x20" + ) + , + ( "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\xeb\x8c\x17\x30\x90\xc7\x5b\x77\xd6\x72\xb4\x57\xa7\x78\xd9\xd0" + ) + , + ( "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\xf2\xf0\xae\xd8\xcd\xc9\x21\xca\x4b\x55\x84\x5d\xa4\x15\x21\xc2" + ) + , + ( "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\xda\xb4\x01\x5f\x98\x70\x25\xeb\xb8\xa8\x5f\x3c\x7f\x73\x70\x19" + ) + ] +vectors_aes256_enc = + [ + ( "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\xdc\x95\xc0\x78\xa2\x40\x89\x89\xad\x48\xa2\x14\x92\x84\x20\x87" + ) + , + ( "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x72\x98\xca\xa5\x65\x03\x1e\xad\xc6\xce\x23\xd2\x3e\xa6\x63\x78" + ) + , + ( "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\xf4\x35\xa1\x11\xa3\xe4\xa1\x94\x49\x19\xf9\x12\xc5\xa2\x41\xde" + ) + , + ( "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x91\xc0\x87\x62\x87\x6d\xcc\xf9\xba\x20\x4a\x33\x76\x8f\xa5\xfe" + ) + , + ( "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x7b\xc3\x02\x6c\xd7\x37\x10\x3e\x62\x90\x2b\xcd\x18\xfb\x01\x63" + ) + , + ( "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x9c\xac\x94\xc6\xb4\x85\x61\xf8\xff\xaa\xa7\x86\x16\xba\x48\x92" + ) + , + ( "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\xf9\xc7\x44\x4b\xb0\xcc\x80\x6c\x7c\x39\xee\x22\x11\xf1\x46" + ) + , + ( "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x6d\xed\xd0\xa3\xe6\x94\xa0\xde\x65\x1d\x68\xa6\xb5\x5a\x64\xa2" + ) + , + ( "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x7b\xc3\x02\x6c\xd7\x37\x10\x3e\x62\x90\x2b\xcd\x18\xfb\x01\x63" + ) + , + ( "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x62\xae\x12\xf3\x24\xbf\xea\x08\xd5\xf6\x75\xb5\x13\x02\x6b\xbf" + ) + , + ( "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x00\xf9\xc7\x44\x4b\xb0\xcc\x80\x6c\x7c\x39\xee\x22\x11\xf1\x46" + ) + , + ( "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x91\xc0\x87\x62\x87\x6d\xcc\xf9\xba\x20\x4a\x33\x76\x8f\xa5\xfe" + ) + ] +vectors_aes128_dec = + [ + ( "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x14\x0f\x0f\x10\x11\xb5\x22\x3d\x79\x58\x77\x17\xff\xd9\xec\x3a" + ) + , + ( "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x33\x08\x32\x40\xd6\x5c\xbc\x72\xaa\x0b\x44\xf3\xe1\x9e\xa9\x5a" + ) + , + ( "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x65\x0a\x42\xa0\x3c\x4b\x93\xa4\xb7\x43\xdc\x9e\x9c\xf4\xc0\x9b" + ) + , + ( "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x80\xcd\x20\xe1\xbd\x89\x3c\x5e\xe4\x20\x76\x85\xb0\x9a\x0e\x3e" + ) + , + ( "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x15\x0e\x0e\x11\x10\xb4\x23\x3c\x78\x59\x76\x16\xfe\xd8\xed\x3b" + ) + , + ( "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x32\x09\x33\x41\xd7\x5d\xbd\x73\xab\x0a\x45\xf2\xe0\x9f\xa8\x5b" + ) + , + ( "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x64\x0b\x43\xa1\x3d\x4a\x92\xa5\xb6\x42\xdd\x9f\x9d\xf5\xc1\x9a" + ) + , + ( "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x81\xcc\x21\xe0\xbc\x88\x3d\x5f\xe5\x21\x77\x84\xb1\x9b\x0f\x3f" + ) + , + ( "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\xf5\x06\x41\x7e\x6a\x8f\xbc\x32\xdd\xa5\x52\x73\xbf\x9f\x4d\x5c" + ) + , + ( "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\xbf\x6d\x28\xac\x20\xc9\x1d\x65\xa9\xd4\xb0\x96\xc2\xd5\xa5\x09" + ) + , + ( "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x5f\x2a\x46\xab\x8d\xb9\x5b\x22\x15\xfe\x1a\xa4\xdd\x69\x59\x26" + ) + , + ( "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x71\x9b\x21\xb5\x39\x7c\x2f\x16\x7c\x8b\x45\x22\xb5\x20\xec\x2e" + ) + ] +vectors_aes192_dec = + [ + ( "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x13\x46\x0e\x87\xa8\xfc\x02\x3e\xf2\x50\x1a\xfe\x7f\xf5\x1c\x51" + ) + , + ( "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x91\x75\x27\xfc\xd4\xa0\x6f\x32\x27\x29\x90\x14\xca\xde\xd4\x1a" + ) + , + ( "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x29\x64\x80\xb6\xa5\xd6\xcf\xb3\x78\x3f\x21\x6b\x80\x31\x3d\xb3" + ) + , + ( "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\xbc\xa5\x06\x07\xd0\x67\x30\x85\x2d\x3a\x50\x4b\x68\x0a\x19\xcc" + ) + , + ( "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x12\x47\x0f\x86\xa9\xfd\x03\x3f\xf3\x51\x1b\xff\x7e\xf4\x1d\x50" + ) + , + ( "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x90\x74\x26\xfd\xd5\xa1\x6e\x33\x26\x28\x91\x15\xcb\xdf\xd5\x1b" + ) + , + ( "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x28\x65\x81\xb7\xa4\xd7\xce\xb2\x79\x3e\x20\x6a\x81\x30\x3c\xb2" + ) + , + ( "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\xbd\xa4\x07\x06\xd1\x66\x31\x84\x2c\x3b\x51\x4a\x69\x0b\x18\xcd" + ) + , + ( "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x38\xf9\xf9\xd1\x7e\x2c\x82\xaf\xdc\xed\x68\x03\xb6\x31\x46\x3e" + ) + , + ( "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x35\x4e\xc1\x01\x0f\x17\x50\x5e\x63\x37\x40\x4b\x9a\xf2\xc0\x5c" + ) + , + ( "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\xa7\x7c\xc9\xd1\x4f\x44\xf7\xf7\xcc\x45\x80\x83\x19\xb7\xa4\x71" + ) + , + ( "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\xf9\x1d\xb1\x13\x0b\xd1\xc0\x66\x9f\xfa\xc2\x0e\xbe\xdd\xcb\xca" + ) + ] +vectors_aes256_dec = + [ + ( "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x67\x67\x1c\xe1\xfa\x91\xdd\xeb\x0f\x8f\xbb\xb3\x66\xb5\x31\xb4" + ) + , + ( "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x7b\xd3\xfb\x90\x65\x56\x9f\x39\x8b\x09\xcb\x93\x4b\x1e\x01\x23" + ) + , + ( "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\xda\xa8\xbf\x5c\xde\x2e\x52\x45\x5f\xa3\xb3\xfe\x33\x32\x47\xca" + ) + , + ( "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x83\x24\xdc\xb4\x30\x12\x73\x6c\xed\x58\xab\x8f\x4b\x05\xca\x0b" + ) + , + ( "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x66\x66\x1d\xe0\xfb\x90\xdc\xea\x0e\x8e\xba\xb2\x67\xb4\x30\xb5" + ) + , + ( "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x7a\xd2\xfa\x91\x64\x57\x9e\x38\x8a\x08\xca\x92\x4a\x1f\x00\x22" + ) + , + ( "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\xdb\xa9\xbe\x5d\xdf\x2f\x53\x44\x5e\xa2\xb2\xff\x32\x33\x46\xcb" + ) + , + ( "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x82\x25\xdd\xb5\x31\x13\x72\x6d\xec\x59\xaa\x8e\x4a\x04\xcb\x0a" + ) + , + ( "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x68\xe9\x07\x16\xe3\x66\x1b\x1d\xb1\x89\x74\xb0\x9c\x46\x47\xe4" + ) + , + ( "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , "\x7f\xb9\xeb\xa4\xd3\x5f\x70\x40\xab\x52\xec\xd2\x3b\x48\xb7\x6e" + ) + , + ( "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" + , "\x6c\x58\x0f\x41\x82\x36\xbc\xff\x64\x1d\xac\xa7\x3e\x34\x11\x18" + ) + , + ( "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03" + , "\x3f\x62\xd6\x8c\xb1\xf7\x62\x28\xa4\xc3\x82\x4f\x8b\x24\xe7\x4b" + ) + ] diff --git a/tests/BlockCipher/AES/CCM.hs b/tests/BlockCipher/AES/CCM.hs new file mode 100644 --- /dev/null +++ b/tests/BlockCipher/AES/CCM.hs @@ -0,0 +1,263 @@ +{-# LANGUAGE OverloadedStrings #-} + +module BlockCipher.AES.CCM where + +import qualified Data.ByteString as B + +-- (key, iv, header, in, out+atag, taglen) +type KATCCM = + (B.ByteString, B.ByteString, B.ByteString, B.ByteString, B.ByteString, Int) + +vectors_aes128_enc :: [KATCCM] +vectors_aes128_enc = + [ + ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" + , {- iv = -} "\x00\x00\x00\x03\x02\x01\x00\xa0\xa1\xa2\xa3\xa4\xa5" + , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07" + , {- in = -} "\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e" + , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x58\x8c\x97\x9a\x61\xc6\x63\xd2\xf0\x66\xd0\xc2\xc0\xf9\x89\x80\x6d\x5f\x6b\x61\xda\xc3\x84\x17\xe8\xd1\x2c\xfd\xf9\x26\xe0" + , {- M = -} 8 + ) + , + ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" + , {- iv = -} "\x00\x00\x00\x04\x03\x02\x01\xa0\xa1\xa2\xa3\xa4\xa5" + , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07" + , {- in = -} "\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f" + , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x72\xc9\x1a\x36\xe1\x35\xf8\xcf\x29\x1c\xa8\x94\x08\x5c\x87\xe3\xcc\x15\xc4\x39\xc9\xe4\x3a\x3b\xa0\x91\xd5\x6e\x10\x40\x09\x16" + , {- M = -} 8 + ) + , + ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" + , {- iv = -} "\x00\x00\x00\x05\x04\x03\x02\xa0\xa1\xa2\xa3\xa4\xa5" + , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07" + , {- in = -} "\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20" + , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x51\xb1\xe5\xf4\x4a\x19\x7d\x1d\xa4\x6b\x0f\x8e\x2d\x28\x2a\xe8\x71\xe8\x38\xbb\x64\xda\x85\x96\x57\x4a\xda\xa7\x6f\xbd\x9f\xb0\xc5" + , {- M = -} 8 + ) + , + ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" + , {- iv = -} "\x00\x00\x00\x06\x05\x04\x03\xa0\xa1\xa2\xa3\xa4\xa5" + , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b" + , {- in = -} "\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e" + , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\xa2\x8c\x68\x65\x93\x9a\x9a\x79\xfa\xaa\x5c\x4c\x2a\x9d\x4a\x91\xcd\xac\x8c\x96\xc8\x61\xb9\xc9\xe6\x1e\xf1" + , {- M = -} 8 + ) + , + ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" + , {- iv = -} "\x00\x00\x00\x07\x06\x05\x04\xa0\xa1\xa2\xa3\xa4\xa5" + , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b" + , {- in = -} "\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f" + , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\xdc\xf1\xfb\x7b\x5d\x9e\x23\xfb\x9d\x4e\x13\x12\x53\x65\x8a\xd8\x6e\xbd\xca\x3e\x51\xe8\x3f\x07\x7d\x9c\x2d\x93" + , {- M = -} 8 + ) + , + ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" + , {- iv = -} "\x00\x00\x00\x08\x07\x06\x05\xa0\xa1\xa2\xa3\xa4\xa5" + , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b" + , {- in = -} "\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20" + , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x6f\xc1\xb0\x11\xf0\x06\x56\x8b\x51\x71\xa4\x2d\x95\x3d\x46\x9b\x25\x70\xa4\xbd\x87\x40\x5a\x04\x43\xac\x91\xcb\x94" + , {- M = -} 8 + ) + , + ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" + , {- iv = -} "\x00\x00\x00\x09\x08\x07\x06\xa0\xa1\xa2\xa3\xa4\xa5" + , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07" + , {- in = -} "\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e" + , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x01\x35\xd1\xb2\xc9\x5f\x41\xd5\xd1\xd4\xfe\xc1\x85\xd1\x66\xb8\x09\x4e\x99\x9d\xfe\xd9\x6c\x04\x8c\x56\x60\x2c\x97\xac\xbb\x74\x90" + , {- M = -} 10 + ) + , + ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" + , {- iv = -} "\x00\x00\x00\x0a\x09\x08\x07\xa0\xa1\xa2\xa3\xa4\xa5" + , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07" + , {- in = -} "\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f" + , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x7b\x75\x39\x9a\xc0\x83\x1d\xd2\xf0\xbb\xd7\x58\x79\xa2\xfd\x8f\x6c\xae\x6b\x6c\xd9\xb7\xdb\x24\xc1\x7b\x44\x33\xf4\x34\x96\x3f\x34\xb4" + , {- M = -} 10 + ) + , + ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" + , {- iv = -} "\x00\x00\x00\x0b\x0a\x09\x08\xa0\xa1\xa2\xa3\xa4\xa5" + , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07" + , {- in = -} "\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20" + , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x82\x53\x1a\x60\xcc\x24\x94\x5a\x4b\x82\x79\x18\x1a\xb5\xc8\x4d\xf2\x1c\xe7\xf9\xb7\x3f\x42\xe1\x97\xea\x9c\x07\xe5\x6b\x5e\xb1\x7e\x5f\x4e" + , {- M = -} 10 + ) + , + ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" + , {- iv = -} "\x00\x00\x00\x0c\x0b\x0a\x09\xa0\xa1\xa2\xa3\xa4\xa5" + , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b" + , {- in = -} "\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e" + , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x07\x34\x25\x94\x15\x77\x85\x15\x2b\x07\x40\x98\x33\x0a\xbb\x14\x1b\x94\x7b\x56\x6a\xa9\x40\x6b\x4d\x99\x99\x88\xdd" + , {- M = -} 10 + ) + , + ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" + , {- iv = -} "\x00\x00\x00\x0d\x0c\x0b\x0a\xa0\xa1\xa2\xa3\xa4\xa5" + , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b" + , {- in = -} "\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f" + , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x67\x6b\xb2\x03\x80\xb0\xe3\x01\xe8\xab\x79\x59\x0a\x39\x6d\xa7\x8b\x83\x49\x34\xf5\x3a\xa2\xe9\x10\x7a\x8b\x6c\x02\x2c" + , {- M = -} 10 + ) + , + ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" + , {- iv = -} "\x00\x00\x00\x0e\x0d\x0c\x0b\xa0\xa1\xa2\xa3\xa4\xa5" + , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b" + , {- in = -} "\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20" + , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\xc0\xff\xa0\xd6\xf0\x5b\xdb\x67\xf2\x4d\x43\xa4\x33\x8d\x2a\xa4\xbe\xd7\xb2\x0e\x43\xcd\x1a\xa3\x16\x62\xe7\xad\x65\xd6\xdb" + , {- M = -} 10 + ) + , + ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" + , {- iv = -} "\x00\x41\x2b\x4e\xa9\xcd\xbe\x3c\x96\x96\x76\x6c\xfa" + , {- hdr = -} "\x0b\xe1\xa8\x8b\xac\xe0\x18\xb1" + , {- in = -} "\x08\xe8\xcf\x97\xd8\x20\xea\x25\x84\x60\xe9\x6a\xd9\xcf\x52\x89\x05\x4d\x89\x5c\xea\xc4\x7c" + , {- out = -} "\x0b\xe1\xa8\x8b\xac\xe0\x18\xb1\x4c\xb9\x7f\x86\xa2\xa4\x68\x9a\x87\x79\x47\xab\x80\x91\xef\x53\x86\xa6\xff\xbd\xd0\x80\xf8\xe7\x8c\xf7\xcb\x0c\xdd\xd7\xb3" + , {- M = -} 8 + ) + , + ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" + , {- iv = -} "\x00\x33\x56\x8e\xf7\xb2\x63\x3c\x96\x96\x76\x6c\xfa" + , {- hdr = -} "\x63\x01\x8f\x76\xdc\x8a\x1b\xcb" + , {- in = -} "\x90\x20\xea\x6f\x91\xbd\xd8\x5a\xfa\x00\x39\xba\x4b\xaf\xf9\xbf\xb7\x9c\x70\x28\x94\x9c\xd0\xec" + , {- out = -} "\x63\x01\x8f\x76\xdc\x8a\x1b\xcb\x4c\xcb\x1e\x7c\xa9\x81\xbe\xfa\xa0\x72\x6c\x55\xd3\x78\x06\x12\x98\xc8\x5c\x92\x81\x4a\xbc\x33\xc5\x2e\xe8\x1d\x7d\x77\xc0\x8a" + , {- M = -} 8 + ) + , + ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" + , {- iv = -} "\x00\x10\x3f\xe4\x13\x36\x71\x3c\x96\x96\x76\x6c\xfa" + , {- hdr = -} "\xaa\x6c\xfa\x36\xca\xe8\x6b\x40" + , {- in = -} "\xb9\x16\xe0\xea\xcc\x1c\x00\xd7\xdc\xec\x68\xec\x0b\x3b\xbb\x1a\x02\xde\x8a\x2d\x1a\xa3\x46\x13\x2e" + , {- out = -} "\xaa\x6c\xfa\x36\xca\xe8\x6b\x40\xb1\xd2\x3a\x22\x20\xdd\xc0\xac\x90\x0d\x9a\xa0\x3c\x61\xfc\xf4\xa5\x59\xa4\x41\x77\x67\x08\x97\x08\xa7\x76\x79\x6e\xdb\x72\x35\x06" + , {- M = -} 8 + ) + , + ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" + , {- iv = -} "\x00\x76\x4c\x63\xb8\x05\x8e\x3c\x96\x96\x76\x6c\xfa" + , {- hdr = -} "\xd0\xd0\x73\x5c\x53\x1e\x1b\xec\xf0\x49\xc2\x44" + , {- in = -} "\x12\xda\xac\x56\x30\xef\xa5\x39\x6f\x77\x0c\xe1\xa6\x6b\x21\xf7\xb2\x10\x1c" + , {- out = -} "\xd0\xd0\x73\x5c\x53\x1e\x1b\xec\xf0\x49\xc2\x44\x14\xd2\x53\xc3\x96\x7b\x70\x60\x9b\x7c\xbb\x7c\x49\x91\x60\x28\x32\x45\x26\x9a\x6f\x49\x97\x5b\xca\xde\xaf" + , {- M = -} 8 + ) + , + ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" + , {- iv = -} "\x00\xf8\xb6\x78\x09\x4e\x3b\x3c\x96\x96\x76\x6c\xfa" + , {- hdr = -} "\x77\xb6\x0f\x01\x1c\x03\xe1\x52\x58\x99\xbc\xae" + , {- in = -} "\xe8\x8b\x6a\x46\xc7\x8d\x63\xe5\x2e\xb8\xc5\x46\xef\xb5\xde\x6f\x75\xe9\xcc\x0d" + , {- out = -} "\x77\xb6\x0f\x01\x1c\x03\xe1\x52\x58\x99\xbc\xae\x55\x45\xff\x1a\x08\x5e\xe2\xef\xbf\x52\xb2\xe0\x4b\xee\x1e\x23\x36\xc7\x3e\x3f\x76\x2c\x0c\x77\x44\xfe\x7e\x3c" + , {- M = -} 8 + ) + , + ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" + , {- iv = -} "\x00\xd5\x60\x91\x2d\x3f\x70\x3c\x96\x96\x76\x6c\xfa" + , {- hdr = -} "\xcd\x90\x44\xd2\xb7\x1f\xdb\x81\x20\xea\x60\xc0" + , {- in = -} "\x64\x35\xac\xba\xfb\x11\xa8\x2e\x2f\x07\x1d\x7c\xa4\xa5\xeb\xd9\x3a\x80\x3b\xa8\x7f" + , {- out = -} "\xcd\x90\x44\xd2\xb7\x1f\xdb\x81\x20\xea\x60\xc0\x00\x97\x69\xec\xab\xdf\x48\x62\x55\x94\xc5\x92\x51\xe6\x03\x57\x22\x67\x5e\x04\xc8\x47\x09\x9e\x5a\xe0\x70\x45\x51" + , {- M = -} 8 + ) + , + ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" + , {- iv = -} "\x00\x42\xff\xf8\xf1\x95\x1c\x3c\x96\x96\x76\x6c\xfa" + , {- hdr = -} "\xd8\x5b\xc7\xe6\x9f\x94\x4f\xb8" + , {- in = -} "\x8a\x19\xb9\x50\xbc\xf7\x1a\x01\x8e\x5e\x67\x01\xc9\x17\x87\x65\x98\x09\xd6\x7d\xbe\xdd\x18" + , {- out = -} "\xd8\x5b\xc7\xe6\x9f\x94\x4f\xb8\xbc\x21\x8d\xaa\x94\x74\x27\xb6\xdb\x38\x6a\x99\xac\x1a\xef\x23\xad\xe0\xb5\x29\x39\xcb\x6a\x63\x7c\xf9\xbe\xc2\x40\x88\x97\xc6\xba" + , {- M = -} 10 + ) + , + ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" + , {- iv = -} "\x00\x92\x0f\x40\xe5\x6c\xdc\x3c\x96\x96\x76\x6c\xfa" + , {- hdr = -} "\x74\xa0\xeb\xc9\x06\x9f\x5b\x37" + , {- in = -} "\x17\x61\x43\x3c\x37\xc5\xa3\x5f\xc1\xf3\x9f\x40\x63\x02\xeb\x90\x7c\x61\x63\xbe\x38\xc9\x84\x37" + , {- out = -} "\x74\xa0\xeb\xc9\x06\x9f\x5b\x37\x58\x10\xe6\xfd\x25\x87\x40\x22\xe8\x03\x61\xa4\x78\xe3\xe9\xcf\x48\x4a\xb0\x4f\x44\x7e\xff\xf6\xf0\xa4\x77\xcc\x2f\xc9\xbf\x54\x89\x44" + , {- M = -} 10 + ) + , + ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" + , {- iv = -} "\x00\x27\xca\x0c\x71\x20\xbc\x3c\x96\x96\x76\x6c\xfa" + , {- hdr = -} "\x44\xa3\xaa\x3a\xae\x64\x75\xca" + , {- in = -} "\xa4\x34\xa8\xe5\x85\x00\xc6\xe4\x15\x30\x53\x88\x62\xd6\x86\xea\x9e\x81\x30\x1b\x5a\xe4\x22\x6b\xfa" + , {- out = -} "\x44\xa3\xaa\x3a\xae\x64\x75\xca\xf2\xbe\xed\x7b\xc5\x09\x8e\x83\xfe\xb5\xb3\x16\x08\xf8\xe2\x9c\x38\x81\x9a\x89\xc8\xe7\x76\xf1\x54\x4d\x41\x51\xa4\xed\x3a\x8b\x87\xb9\xce" + , {- M = -} 10 + ) + , + ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" + , {- iv = -} "\x00\x5b\x8c\xcb\xcd\x9a\xf8\x3c\x96\x96\x76\x6c\xfa" + , {- hdr = -} "\xec\x46\xbb\x63\xb0\x25\x20\xc3\x3c\x49\xfd\x70" + , {- in = -} "\xb9\x6b\x49\xe2\x1d\x62\x17\x41\x63\x28\x75\xdb\x7f\x6c\x92\x43\xd2\xd7\xc2" + , {- out = -} "\xec\x46\xbb\x63\xb0\x25\x20\xc3\x3c\x49\xfd\x70\x31\xd7\x50\xa0\x9d\xa3\xed\x7f\xdd\xd4\x9a\x20\x32\xaa\xbf\x17\xec\x8e\xbf\x7d\x22\xc8\x08\x8c\x66\x6b\xe5\xc1\x97" + , {- M = -} 10 + ) + , + ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" + , {- iv = -} "\x00\x3e\xbe\x94\x04\x4b\x9a\x3c\x96\x96\x76\x6c\xfa" + , {- hdr = -} "\x47\xa6\x5a\xc7\x8b\x3d\x59\x42\x27\xe8\x5e\x71" + , {- in = -} "\xe2\xfc\xfb\xb8\x80\x44\x2c\x73\x1b\xf9\x51\x67\xc8\xff\xd7\x89\x5e\x33\x70\x76" + , {- out = -} "\x47\xa6\x5a\xc7\x8b\x3d\x59\x42\x27\xe8\x5e\x71\xe8\x82\xf1\xdb\xd3\x8c\xe3\xed\xa7\xc2\x3f\x04\xdd\x65\x07\x1e\xb4\x13\x42\xac\xdf\x7e\x00\xdc\xce\xc7\xae\x52\x98\x7d" + , {- M = -} 10 + ) + , + ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" + , {- iv = -} "\x00\x8d\x49\x3b\x30\xae\x8b\x3c\x96\x96\x76\x6c\xfa" + , {- hdr = -} "\x6e\x37\xa6\xef\x54\x6d\x95\x5d\x34\xab\x60\x59" + , {- in = -} "\xab\xf2\x1c\x0b\x02\xfe\xb8\x8f\x85\x6d\xf4\xa3\x73\x81\xbc\xe3\xcc\x12\x85\x17\xd4" + , {- out = -} "\x6e\x37\xa6\xef\x54\x6d\x95\x5d\x34\xab\x60\x59\xf3\x29\x05\xb8\x8a\x64\x1b\x04\xb9\xc9\xff\xb5\x8c\xc3\x90\x90\x0f\x3d\xa1\x2a\xb1\x6d\xce\x9e\x82\xef\xa1\x6d\xa6\x20\x59" + , {- M = -} 10 + ) + ] + +-- From OpenSSL 3.5, in the same shape: header, ciphertext and tag as one +-- string. The suite had CCM vectors at 128 bits only. +vectors_aes192_enc :: [KATCCM] +vectors_aes192_enc = + [ + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac" + , "\x50\x51\x52\x53\x54\x55\x56\x57" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c\x73\x7a\x81\x88\x8f\x96\x9d" + , "\x50\x51\x52\x53\x54\x55\x56\x57\xea\xaa\x82\xdb\xd8\x0f\xec\xb3\xe5\xf9\x8a\x66\x1b\x5c\x0c\x46\xc0\x91\xec\xbe\x47\xdd\x46\x13\x1c\xbc\xa4\x27\x96\xaf\xc4" + , 8 + ) + , + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac" + , "\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f\x60\x61\x62\x63" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c\x73\x7a\x81\x88\x8f\x96\x9d\xa4\xab\xb2\xb9\xc0\xc7\xce\xd5\xdc\xe3\xea\xf1\xf8\xff\x06\x0d\x14\x1b\x22\x29\x30\x37\x3e\x45\x4c\x53\x5a\x61\x68\x6f\x76\x7d\x84\x8b\x92\x99\xa0" + , "\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f\x60\x61\x62\x63\xea\xaa\x82\xdb\xd8\x0f\xec\xb3\xe5\xf9\x8a\x66\x1b\x5c\x0c\x46\xc0\x91\xec\xbe\x47\xdd\x46\x61\x34\x59\x25\xf2\x67\x4d\x0e\x97\x5c\x63\x50\x49\x9c\xc2\x24\x13\x2d\x04\x73\xb2\xbc\x9c\x8d\xc1\xc1\xde\xcb\x5c\xbf\x45\xe4\x42\x82\x75\x01\xe0\x9b\x69\xe2\x9c\x45\x10\x0b\xd2\xe2\x2d\x13\xef\x92\x4b\x5c\xe8" + , 16 + ) + , + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac" + , "" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c\x73\x7a\x81\x88\x8f\x96\x9d\xa4\xab\xb2\xb9\xc0\xc7\xce\xd5\xdc\xe3\xea\xf1\xf8\xff\x06\x0d\x14\x1b\x22\x29\x30\x37\x3e\x45\x4c\x53\x5a\x61\x68\x6f\x76\x7d\x84\x8b\x92\x99\xa0\xa7\xae\xb5\xbc\xc3\xca\xd1\xd8\xdf\xe6\xed\xf4\xfb\x02\x09\x10\x17\x1e\x25\x2c\x33\x3a\x41\x48\x4f\x56\x5d\x64\x6b\x72\x79\x80\x87\x8e\x95\x9c\xa3\xaa\xb1\xb8\xbf\xc6\xcd\xd4\xdb\xe2\xe9\xf0\xf7\xfe\x05\x0c\x13\x1a\x21\x28\x2f\x36\x3d\x44\x4b\x52\x59\x60\x67\x6e\x75\x7c\x83\x8a\x91\x98\x9f\xa6\xad\xb4\xbb\xc2\xc9\xd0\xd7\xde\xe5\xec\xf3\xfa" + , "\xea\xaa\x82\xdb\xd8\x0f\xec\xb3\xe5\xf9\x8a\x66\x1b\x5c\x0c\x46\xc0\x91\xec\xbe\x47\xdd\x46\x61\x34\x59\x25\xf2\x67\x4d\x0e\x97\x5c\x63\x50\x49\x9c\xc2\x24\x13\x2d\x04\x73\xb2\xbc\x9c\x8d\xc1\xc1\xde\xcb\x5c\xbf\x45\xe4\x42\x82\x75\x01\xe0\x42\x93\x60\x1b\xa0\x42\x2f\xb8\xdf\x2c\x62\xb8\x98\x9e\xe4\x6e\x7a\xe1\xda\xaa\x3e\x79\x14\x7d\x42\xd0\xaf\xc0\xbd\x89\x71\x81\x08\xad\x97\x29\xfd\x7c\xab\x91\x6c\x98\x66\x13\xc7\x67\xad\x8a\xa3\x12\x7d\xa3\x28\xd2\xcc\x6d\xf1\x84\xb7\x42\x9d\x67\x8d\xa9\xab\x5f\x87\x18\x28\x0b\x47\xb5\xe1\x44\xd1\x1e\x1e\x26\x14\xc7\xec\x15\x04\xa1\x54\x46\xca\xac\xb7\x2e\xf7\xae\x3f\xc0\xd5\xc6\x84\x4c\xa9\xc1\x06\x1c" + , 16 + ) + ] + +vectors_aes256_enc :: [KATCCM] +vectors_aes256_enc = + [ + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27\x28\x29\x2a\x2b\x2c\x2d\x2e\x2f" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac" + , "\x50\x51\x52\x53\x54\x55\x56\x57" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c\x73\x7a\x81\x88\x8f\x96\x9d" + , "\x50\x51\x52\x53\x54\x55\x56\x57\xad\x3e\xcd\xd8\x8e\x85\x91\xc7\x44\xab\x19\x1c\xa6\x37\x1f\xf2\xf2\x09\x1d\xc1\xb0\x48\x87\xdc\x9e\x16\xe2\x37\xbf\x01\x89" + , 8 + ) + , + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27\x28\x29\x2a\x2b\x2c\x2d\x2e\x2f" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac" + , "\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f\x60\x61\x62\x63" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c\x73\x7a\x81\x88\x8f\x96\x9d\xa4\xab\xb2\xb9\xc0\xc7\xce\xd5\xdc\xe3\xea\xf1\xf8\xff\x06\x0d\x14\x1b\x22\x29\x30\x37\x3e\x45\x4c\x53\x5a\x61\x68\x6f\x76\x7d\x84\x8b\x92\x99\xa0" + , "\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f\x60\x61\x62\x63\xad\x3e\xcd\xd8\x8e\x85\x91\xc7\x44\xab\x19\x1c\xa6\x37\x1f\xf2\xf2\x09\x1d\xc1\xb0\x48\x87\xa3\xc8\x80\x9d\xd1\x15\xd6\xab\x3c\x81\xdc\xa8\x90\x01\x34\xa3\x49\xa8\xc7\x84\xff\x55\x5f\x57\x28\x67\x8e\x1d\x08\x46\x01\x4d\x93\x2c\x80\x1f\x0e\x37\x7a\x9e\xee\x95\xc1\x1a\xb1\xbe\xc1\xeb\x10\xc8\x88\x32\xe8" + , 16 + ) + , + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27\x28\x29\x2a\x2b\x2c\x2d\x2e\x2f" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac" + , "" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c\x73\x7a\x81\x88\x8f\x96\x9d\xa4\xab\xb2\xb9\xc0\xc7\xce\xd5\xdc\xe3\xea\xf1\xf8\xff\x06\x0d\x14\x1b\x22\x29\x30\x37\x3e\x45\x4c\x53\x5a\x61\x68\x6f\x76\x7d\x84\x8b\x92\x99\xa0\xa7\xae\xb5\xbc\xc3\xca\xd1\xd8\xdf\xe6\xed\xf4\xfb\x02\x09\x10\x17\x1e\x25\x2c\x33\x3a\x41\x48\x4f\x56\x5d\x64\x6b\x72\x79\x80\x87\x8e\x95\x9c\xa3\xaa\xb1\xb8\xbf\xc6\xcd\xd4\xdb\xe2\xe9\xf0\xf7\xfe\x05\x0c\x13\x1a\x21\x28\x2f\x36\x3d\x44\x4b\x52\x59\x60\x67\x6e\x75\x7c\x83\x8a\x91\x98\x9f\xa6\xad\xb4\xbb\xc2\xc9\xd0\xd7\xde\xe5\xec\xf3\xfa" + , "\xad\x3e\xcd\xd8\x8e\x85\x91\xc7\x44\xab\x19\x1c\xa6\x37\x1f\xf2\xf2\x09\x1d\xc1\xb0\x48\x87\xa3\xc8\x80\x9d\xd1\x15\xd6\xab\x3c\x81\xdc\xa8\x90\x01\x34\xa3\x49\xa8\xc7\x84\xff\x55\x5f\x57\x28\x67\x8e\x1d\x08\x46\x01\x4d\x93\x2c\x80\x1f\x0e\x42\x24\x4c\xb2\x9a\xa4\x3d\x8a\x5a\x72\x0d\x98\x45\x81\xa9\x53\x11\x60\xf8\x7c\x3d\x13\x6d\x2b\x27\x45\x76\x08\xb1\xa7\xe5\x6e\x73\x7b\xab\x7f\x21\x4a\x6a\xfe\xc8\x12\xfc\x37\x1b\x37\xc6\x34\x82\x3d\xa4\x4a\x79\x71\xdf\x05\x1d\xb4\x42\x02\x4d\xcd\x93\x13\xcf\x53\x23\xd9\x68\xf6\x7a\x75\xb4\x36\xd8\x67\x31\x9a\xbf\xfb\xff\x0b\x47\xd5\x5e\x16\x9e\xb6\x27\xef\x9a\xe4\x57\xb6\x8e\x15\x50\x41\xd1\x29\x99\x28" + , 16 + ) + ] diff --git a/tests/BlockCipher/AES/CTR.hs b/tests/BlockCipher/AES/CTR.hs new file mode 100644 --- /dev/null +++ b/tests/BlockCipher/AES/CTR.hs @@ -0,0 +1,82 @@ +{-# LANGUAGE OverloadedStrings #-} + +-- | Counter mode, which had no known-answer test at any key size: the +-- suite checked it only by encrypting and decrypting again, which a +-- wrong-but-consistent implementation passes. From OpenSSL 3.5. +-- +-- The lengths are one block, nine blocks, and eight and a bit, so that +-- both the group of eight the hardware paths take at a time and the +-- block-at-a-time tail after it are covered. +module BlockCipher.AES.CTR where + +import qualified Data.ByteString as B +import Data.ByteString.Char8 () + +-- (key, iv, input, out) +type KATCTR = (B.ByteString, B.ByteString, B.ByteString, B.ByteString) + +vectors_aes128_enc :: [KATCTR] +vectors_aes128_enc = + [ + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac\xad\xae\xaf" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c" + , "\xca\x1b\xb2\x0a\xf3\x52\xb1\x9b\xf0\xb0\xdc\xde\xb3\x0b\x77\x47" + ) + , + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac\xad\xae\xaf" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c\x73\x7a\x81\x88\x8f\x96\x9d\xa4\xab\xb2\xb9\xc0\xc7\xce\xd5\xdc\xe3\xea\xf1\xf8\xff\x06\x0d\x14\x1b\x22\x29\x30\x37\x3e\x45\x4c\x53\x5a\x61\x68\x6f\x76\x7d\x84\x8b\x92\x99\xa0\xa7\xae\xb5\xbc\xc3\xca\xd1\xd8\xdf\xe6\xed\xf4\xfb\x02\x09\x10\x17\x1e\x25\x2c\x33\x3a\x41\x48\x4f\x56\x5d\x64\x6b\x72\x79\x80\x87\x8e\x95\x9c\xa3\xaa\xb1\xb8\xbf\xc6\xcd\xd4\xdb\xe2\xe9\xf0\xf7\xfe\x05\x0c\x13\x1a\x21\x28\x2f\x36\x3d\x44\x4b\x52\x59\x60\x67\x6e\x75\x7c\x83\x8a\x91\x98\x9f\xa6\xad\xb4\xbb\xc2\xc9\xd0\xd7\xde\xe5\xec" + , "\xca\x1b\xb2\x0a\xf3\x52\xb1\x9b\xf0\xb0\xdc\xde\xb3\x0b\x77\x47\x38\x57\x21\x94\xc8\xf7\x8d\xc3\x7b\x19\x83\xa3\x08\x94\x57\xdd\xf9\x33\x8f\xd5\x03\x3e\xef\x0d\x05\x74\x18\xae\xe5\x2a\x25\xc4\xa3\x44\xed\x31\xa7\x06\x32\x44\x63\x7d\xe5\xc4\xd6\x8c\x42\xe5\x23\xb5\x7d\x54\x08\x30\x16\x6c\x7c\x3b\x54\x24\x67\x23\x18\x2c\xdb\x08\xc4\x38\x65\xca\xb7\x0a\x48\xe1\xa9\x19\x4d\x9e\x97\xd8\x53\x50\x20\xfa\xe1\x27\xc4\x07\x3a\x6b\xb4\x94\x49\xdd\x07\x87\xfb\x0b\x15\x88\xd2\x98\x98\xc6\xeb\x5a\x7d\xbf\x38\x1d\x78\x56\x44\x6e\xd3\x54\xfd\x48\x20\x4c\xc2\xd5\x14\xf5\xa2\xe0\xf7\xa3" + ) + , + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac\xad\xae\xaf" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c\x73\x7a\x81\x88\x8f\x96\x9d\xa4\xab\xb2\xb9\xc0\xc7\xce\xd5\xdc\xe3\xea\xf1\xf8\xff\x06\x0d\x14\x1b\x22\x29\x30\x37\x3e\x45\x4c\x53\x5a\x61\x68\x6f\x76\x7d\x84\x8b\x92\x99\xa0\xa7\xae\xb5\xbc\xc3\xca\xd1\xd8\xdf\xe6\xed\xf4\xfb\x02\x09\x10\x17\x1e\x25\x2c\x33\x3a\x41\x48\x4f\x56\x5d\x64\x6b\x72\x79\x80\x87\x8e\x95\x9c\xa3\xaa\xb1\xb8\xbf\xc6\xcd\xd4\xdb\xe2\xe9\xf0\xf7\xfe\x05\x0c\x13\x1a\x21\x28\x2f\x36\x3d\x44\x4b\x52\x59\x60\x67\x6e\x75\x7c\x83\x8a" + , "\xca\x1b\xb2\x0a\xf3\x52\xb1\x9b\xf0\xb0\xdc\xde\xb3\x0b\x77\x47\x38\x57\x21\x94\xc8\xf7\x8d\xc3\x7b\x19\x83\xa3\x08\x94\x57\xdd\xf9\x33\x8f\xd5\x03\x3e\xef\x0d\x05\x74\x18\xae\xe5\x2a\x25\xc4\xa3\x44\xed\x31\xa7\x06\x32\x44\x63\x7d\xe5\xc4\xd6\x8c\x42\xe5\x23\xb5\x7d\x54\x08\x30\x16\x6c\x7c\x3b\x54\x24\x67\x23\x18\x2c\xdb\x08\xc4\x38\x65\xca\xb7\x0a\x48\xe1\xa9\x19\x4d\x9e\x97\xd8\x53\x50\x20\xfa\xe1\x27\xc4\x07\x3a\x6b\xb4\x94\x49\xdd\x07\x87\xfb\x0b\x15\x88\xd2\x98\x98\xc6\xeb\x5a\x7d\xbf\x38\x1d\x78\x56\x44\x6e" + ) + ] + +vectors_aes192_enc :: [KATCTR] +vectors_aes192_enc = + [ + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac\xad\xae\xaf" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c" + , "\xe6\xd7\xe3\x96\xd1\x4c\xd0\x2a\x6a\x22\xe5\x71\x61\xcd\x1d\xc0" + ) + , + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac\xad\xae\xaf" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c\x73\x7a\x81\x88\x8f\x96\x9d\xa4\xab\xb2\xb9\xc0\xc7\xce\xd5\xdc\xe3\xea\xf1\xf8\xff\x06\x0d\x14\x1b\x22\x29\x30\x37\x3e\x45\x4c\x53\x5a\x61\x68\x6f\x76\x7d\x84\x8b\x92\x99\xa0\xa7\xae\xb5\xbc\xc3\xca\xd1\xd8\xdf\xe6\xed\xf4\xfb\x02\x09\x10\x17\x1e\x25\x2c\x33\x3a\x41\x48\x4f\x56\x5d\x64\x6b\x72\x79\x80\x87\x8e\x95\x9c\xa3\xaa\xb1\xb8\xbf\xc6\xcd\xd4\xdb\xe2\xe9\xf0\xf7\xfe\x05\x0c\x13\x1a\x21\x28\x2f\x36\x3d\x44\x4b\x52\x59\x60\x67\x6e\x75\x7c\x83\x8a\x91\x98\x9f\xa6\xad\xb4\xbb\xc2\xc9\xd0\xd7\xde\xe5\xec" + , "\xe6\xd7\xe3\x96\xd1\x4c\xd0\x2a\x6a\x22\xe5\x71\x61\xcd\x1d\xc0\x85\xfc\x17\x66\x30\x7c\x51\x03\xbb\x13\x61\x16\x60\x11\xff\xaa\x5a\xbd\x39\xf2\xcf\x3c\x87\x73\x39\x02\x6b\xaa\x8c\x71\xce\xb6\x3a\x30\x81\xad\x8b\xbf\xc7\x1d\x0c\xd8\x2b\x65\xa8\xe9\x08\x7c\x46\xec\xaf\x61\xe3\xa8\x66\x11\x32\x8b\x17\x37\xb1\xec\x3e\xd6\x12\x28\xb0\xcc\x7d\x38\xc3\x0e\xee\xf0\xc8\xbf\x82\x47\xb9\x8c\x2a\x59\x89\xa3\x3d\x9a\x47\x09\xb6\xdf\xc5\xb4\x1d\x06\x9d\xe5\x8e\x7b\x82\x0f\xf6\x13\xad\xf4\x9c\xc3\x27\x94\x56\xe5\x70\x17\xd9\x24\x99\x77\xb7\xcd\x06\x17\x91\x9b\xf5\x7d\x29\x95\xa3\xe2" + ) + , + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac\xad\xae\xaf" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c\x73\x7a\x81\x88\x8f\x96\x9d\xa4\xab\xb2\xb9\xc0\xc7\xce\xd5\xdc\xe3\xea\xf1\xf8\xff\x06\x0d\x14\x1b\x22\x29\x30\x37\x3e\x45\x4c\x53\x5a\x61\x68\x6f\x76\x7d\x84\x8b\x92\x99\xa0\xa7\xae\xb5\xbc\xc3\xca\xd1\xd8\xdf\xe6\xed\xf4\xfb\x02\x09\x10\x17\x1e\x25\x2c\x33\x3a\x41\x48\x4f\x56\x5d\x64\x6b\x72\x79\x80\x87\x8e\x95\x9c\xa3\xaa\xb1\xb8\xbf\xc6\xcd\xd4\xdb\xe2\xe9\xf0\xf7\xfe\x05\x0c\x13\x1a\x21\x28\x2f\x36\x3d\x44\x4b\x52\x59\x60\x67\x6e\x75\x7c\x83\x8a" + , "\xe6\xd7\xe3\x96\xd1\x4c\xd0\x2a\x6a\x22\xe5\x71\x61\xcd\x1d\xc0\x85\xfc\x17\x66\x30\x7c\x51\x03\xbb\x13\x61\x16\x60\x11\xff\xaa\x5a\xbd\x39\xf2\xcf\x3c\x87\x73\x39\x02\x6b\xaa\x8c\x71\xce\xb6\x3a\x30\x81\xad\x8b\xbf\xc7\x1d\x0c\xd8\x2b\x65\xa8\xe9\x08\x7c\x46\xec\xaf\x61\xe3\xa8\x66\x11\x32\x8b\x17\x37\xb1\xec\x3e\xd6\x12\x28\xb0\xcc\x7d\x38\xc3\x0e\xee\xf0\xc8\xbf\x82\x47\xb9\x8c\x2a\x59\x89\xa3\x3d\x9a\x47\x09\xb6\xdf\xc5\xb4\x1d\x06\x9d\xe5\x8e\x7b\x82\x0f\xf6\x13\xad\xf4\x9c\xc3\x27\x94\x56\xe5\x70\x17\xd9\x24" + ) + ] + +vectors_aes256_enc :: [KATCTR] +vectors_aes256_enc = + [ + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27\x28\x29\x2a\x2b\x2c\x2d\x2e\x2f" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac\xad\xae\xaf" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c" + , "\xcd\x79\x9a\x1e\xf2\xd4\x81\x6b\x8a\xaa\x64\xb5\x73\x0c\x49\x80" + ) + , + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27\x28\x29\x2a\x2b\x2c\x2d\x2e\x2f" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac\xad\xae\xaf" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c\x73\x7a\x81\x88\x8f\x96\x9d\xa4\xab\xb2\xb9\xc0\xc7\xce\xd5\xdc\xe3\xea\xf1\xf8\xff\x06\x0d\x14\x1b\x22\x29\x30\x37\x3e\x45\x4c\x53\x5a\x61\x68\x6f\x76\x7d\x84\x8b\x92\x99\xa0\xa7\xae\xb5\xbc\xc3\xca\xd1\xd8\xdf\xe6\xed\xf4\xfb\x02\x09\x10\x17\x1e\x25\x2c\x33\x3a\x41\x48\x4f\x56\x5d\x64\x6b\x72\x79\x80\x87\x8e\x95\x9c\xa3\xaa\xb1\xb8\xbf\xc6\xcd\xd4\xdb\xe2\xe9\xf0\xf7\xfe\x05\x0c\x13\x1a\x21\x28\x2f\x36\x3d\x44\x4b\x52\x59\x60\x67\x6e\x75\x7c\x83\x8a\x91\x98\x9f\xa6\xad\xb4\xbb\xc2\xc9\xd0\xd7\xde\xe5\xec" + , "\xcd\x79\x9a\x1e\xf2\xd4\x81\x6b\x8a\xaa\x64\xb5\x73\x0c\x49\x80\x26\xa2\x41\x4b\x82\xcf\xf3\xbb\xb5\x04\x99\x2d\xc4\xe8\xfc\xed\xe2\xc9\x2d\x86\xa7\x78\xb5\x1c\xe4\x75\x81\xe2\x89\x99\xae\x3c\xcf\x56\xfe\x04\x71\xc4\x9b\x1f\x09\xeb\xff\x94\xaa\x19\x74\x8a\x4b\xfd\x59\x18\x0c\xbe\xe0\x4e\x9b\x92\xf8\x6b\x10\xb0\xe8\x67\x76\xd6\x76\x80\x38\x09\xe5\xc7\x9b\x8a\x7d\x4e\x48\x43\xa2\x9b\x87\x26\xbb\x4d\x30\xf7\x23\xcb\x62\x53\xc2\x70\x58\x5c\xf0\xa9\xbd\x2d\x48\xf7\x05\x33\xaf\x3c\x2a\xa6\xf6\xc0\x23\x7f\xb7\x0b\x8d\x8a\xe3\xd1\x9d\x31\xbe\x99\x3d\x83\xf3\x24\xa6\x10\x4b\x71" + ) + , + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27\x28\x29\x2a\x2b\x2c\x2d\x2e\x2f" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac\xad\xae\xaf" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c\x73\x7a\x81\x88\x8f\x96\x9d\xa4\xab\xb2\xb9\xc0\xc7\xce\xd5\xdc\xe3\xea\xf1\xf8\xff\x06\x0d\x14\x1b\x22\x29\x30\x37\x3e\x45\x4c\x53\x5a\x61\x68\x6f\x76\x7d\x84\x8b\x92\x99\xa0\xa7\xae\xb5\xbc\xc3\xca\xd1\xd8\xdf\xe6\xed\xf4\xfb\x02\x09\x10\x17\x1e\x25\x2c\x33\x3a\x41\x48\x4f\x56\x5d\x64\x6b\x72\x79\x80\x87\x8e\x95\x9c\xa3\xaa\xb1\xb8\xbf\xc6\xcd\xd4\xdb\xe2\xe9\xf0\xf7\xfe\x05\x0c\x13\x1a\x21\x28\x2f\x36\x3d\x44\x4b\x52\x59\x60\x67\x6e\x75\x7c\x83\x8a" + , "\xcd\x79\x9a\x1e\xf2\xd4\x81\x6b\x8a\xaa\x64\xb5\x73\x0c\x49\x80\x26\xa2\x41\x4b\x82\xcf\xf3\xbb\xb5\x04\x99\x2d\xc4\xe8\xfc\xed\xe2\xc9\x2d\x86\xa7\x78\xb5\x1c\xe4\x75\x81\xe2\x89\x99\xae\x3c\xcf\x56\xfe\x04\x71\xc4\x9b\x1f\x09\xeb\xff\x94\xaa\x19\x74\x8a\x4b\xfd\x59\x18\x0c\xbe\xe0\x4e\x9b\x92\xf8\x6b\x10\xb0\xe8\x67\x76\xd6\x76\x80\x38\x09\xe5\xc7\x9b\x8a\x7d\x4e\x48\x43\xa2\x9b\x87\x26\xbb\x4d\x30\xf7\x23\xcb\x62\x53\xc2\x70\x58\x5c\xf0\xa9\xbd\x2d\x48\xf7\x05\x33\xaf\x3c\x2a\xa6\xf6\xc0\x23\x7f\xb7\x0b\x8d\x8a" + ) + ] diff --git a/tests/BlockCipher/AES/ECB.hs b/tests/BlockCipher/AES/ECB.hs new file mode 100644 --- /dev/null +++ b/tests/BlockCipher/AES/ECB.hs @@ -0,0 +1,720 @@ +module BlockCipher.AES.ECB where + +import qualified Data.ByteString as B + +vectors_aes128_enc = + [ + ( B.pack + [ 0x10 + , 0xa5 + , 0x88 + , 0x69 + , 0xd7 + , 0x4b + , 0xe5 + , 0xa3 + , 0x74 + , 0xcf + , 0x86 + , 0x7c + , 0xfb + , 0x47 + , 0x38 + , 0x59 + ] + , B.replicate 16 0 + , B.pack + [ 0x6d + , 0x25 + , 0x1e + , 0x69 + , 0x44 + , 0xb0 + , 0x51 + , 0xe0 + , 0x4e + , 0xaa + , 0x6f + , 0xb4 + , 0xdb + , 0xf7 + , 0x84 + , 0x65 + ] + ) + , + ( B.replicate 16 0 + , B.replicate 16 0 + , B.pack + [ 0x66 + , 0xe9 + , 0x4b + , 0xd4 + , 0xef + , 0x8a + , 0x2c + , 0x3b + , 0x88 + , 0x4c + , 0xfa + , 0x59 + , 0xca + , 0x34 + , 0x2b + , 0x2e + ] + ) + , + ( B.replicate 16 0 + , B.replicate 16 1 + , B.pack + [ 0xe1 + , 0x4d + , 0x5d + , 0x0e + , 0xe2 + , 0x77 + , 0x15 + , 0xdf + , 0x08 + , 0xb4 + , 0x15 + , 0x2b + , 0xa2 + , 0x3d + , 0xa8 + , 0xe0 + ] + ) + , + ( B.replicate 16 1 + , B.replicate 16 2 + , B.pack + [ 0x17 + , 0xd6 + , 0x14 + , 0xf3 + , 0x79 + , 0xa9 + , 0x35 + , 0x90 + , 0x77 + , 0xe9 + , 0x55 + , 0x77 + , 0xfd + , 0x31 + , 0xc2 + , 0x0a + ] + ) + , + ( B.replicate 16 2 + , B.replicate 16 1 + , B.pack + [ 0x8f + , 0x42 + , 0xc2 + , 0x4b + , 0xee + , 0x6e + , 0x63 + , 0x47 + , 0x2b + , 0x16 + , 0x5a + , 0xa9 + , 0x41 + , 0x31 + , 0x2f + , 0x7c + ] + ) + , + ( B.replicate 16 3 + , B.replicate 16 2 + , B.pack + [ 0x90 + , 0x98 + , 0x85 + , 0xe4 + , 0x77 + , 0xbc + , 0x20 + , 0xf5 + , 0x8a + , 0x66 + , 0x97 + , 0x1d + , 0xa0 + , 0xbc + , 0x75 + , 0xe3 + ] + ) + ] + +vectors_aes192_enc = + [ + ( B.replicate 24 0 + , B.replicate 16 0 + , B.pack + [ 0xaa + , 0xe0 + , 0x69 + , 0x92 + , 0xac + , 0xbf + , 0x52 + , 0xa3 + , 0xe8 + , 0xf4 + , 0xa9 + , 0x6e + , 0xc9 + , 0x30 + , 0x0b + , 0xd7 + ] + ) + , + ( B.replicate 24 0 + , B.replicate 16 1 + , B.pack + [ 0xcf + , 0x1e + , 0xce + , 0x3c + , 0x44 + , 0xb0 + , 0x78 + , 0xfb + , 0x27 + , 0xcb + , 0x0a + , 0x3e + , 0x07 + , 0x1b + , 0x08 + , 0x20 + ] + ) + , + ( B.replicate 24 1 + , B.replicate 16 2 + , B.pack + [ 0xeb + , 0x8c + , 0x17 + , 0x30 + , 0x90 + , 0xc7 + , 0x5b + , 0x77 + , 0xd6 + , 0x72 + , 0xb4 + , 0x57 + , 0xa7 + , 0x78 + , 0xd9 + , 0xd0 + ] + ) + , + ( B.replicate 24 2 + , B.replicate 16 1 + , B.pack + [ 0xf2 + , 0xf0 + , 0xae + , 0xd8 + , 0xcd + , 0xc9 + , 0x21 + , 0xca + , 0x4b + , 0x55 + , 0x84 + , 0x5d + , 0xa4 + , 0x15 + , 0x21 + , 0xc2 + ] + ) + , + ( B.replicate 24 3 + , B.replicate 16 2 + , B.pack + [ 0xca + , 0xcc + , 0x30 + , 0x79 + , 0xe4 + , 0xb7 + , 0x95 + , 0x27 + , 0x63 + , 0xd2 + , 0x55 + , 0xd6 + , 0x34 + , 0x10 + , 0x46 + , 0x14 + ] + ) + ] + +vectors_aes256_enc = + [ + ( B.replicate 32 0 + , B.replicate 16 0 + , B.pack + [ 0xdc + , 0x95 + , 0xc0 + , 0x78 + , 0xa2 + , 0x40 + , 0x89 + , 0x89 + , 0xad + , 0x48 + , 0xa2 + , 0x14 + , 0x92 + , 0x84 + , 0x20 + , 0x87 + ] + ) + , + ( B.replicate 32 0 + , B.replicate 16 1 + , B.pack + [ 0x7b + , 0xc3 + , 0x02 + , 0x6c + , 0xd7 + , 0x37 + , 0x10 + , 0x3e + , 0x62 + , 0x90 + , 0x2b + , 0xcd + , 0x18 + , 0xfb + , 0x01 + , 0x63 + ] + ) + , + ( B.replicate 32 1 + , B.replicate 16 2 + , B.pack + [ 0x62 + , 0xae + , 0x12 + , 0xf3 + , 0x24 + , 0xbf + , 0xea + , 0x08 + , 0xd5 + , 0xf6 + , 0x75 + , 0xb5 + , 0x13 + , 0x02 + , 0x6b + , 0xbf + ] + ) + , + ( B.replicate 32 2 + , B.replicate 16 1 + , B.pack + [ 0x00 + , 0xf9 + , 0xc7 + , 0x44 + , 0x4b + , 0xb0 + , 0xcc + , 0x80 + , 0x6c + , 0x7c + , 0x39 + , 0xee + , 0x22 + , 0x11 + , 0xf1 + , 0x46 + ] + ) + , + ( B.replicate 32 3 + , B.replicate 16 2 + , B.pack + [ 0xb4 + , 0x05 + , 0x87 + , 0x3e + , 0xa0 + , 0x76 + , 0x1b + , 0x9c + , 0xa9 + , 0x9f + , 0x70 + , 0xb0 + , 0x16 + , 0x16 + , 0xce + , 0xb1 + ] + ) + ] + +vectors_aes128_dec = + [ + ( B.replicate 16 0 + , B.replicate 16 0 + , B.pack + [ 0x14 + , 0x0f + , 0x0f + , 0x10 + , 0x11 + , 0xb5 + , 0x22 + , 0x3d + , 0x79 + , 0x58 + , 0x77 + , 0x17 + , 0xff + , 0xd9 + , 0xec + , 0x3a + ] + ) + , + ( B.replicate 16 0 + , B.replicate 16 1 + , B.pack + [ 0x15 + , 0x6d + , 0x0f + , 0x85 + , 0x75 + , 0xd5 + , 0x33 + , 0x07 + , 0x52 + , 0xf8 + , 0x4a + , 0xf2 + , 0x72 + , 0xff + , 0x30 + , 0x50 + ] + ) + , + ( B.replicate 16 1 + , B.replicate 16 2 + , B.pack + [ 0x34 + , 0x37 + , 0xd6 + , 0xe2 + , 0x31 + , 0xd7 + , 0x02 + , 0x41 + , 0x9b + , 0x51 + , 0xb4 + , 0x94 + , 0x72 + , 0x71 + , 0xb6 + , 0x11 + ] + ) + , + ( B.replicate 16 2 + , B.replicate 16 1 + , B.pack + [ 0xe3 + , 0xcd + , 0xe2 + , 0x37 + , 0xc8 + , 0xf2 + , 0xd9 + , 0x7b + , 0x8d + , 0x79 + , 0xf9 + , 0x17 + , 0x1d + , 0x4b + , 0xda + , 0xc1 + ] + ) + , + ( B.replicate 16 3 + , B.replicate 16 2 + , B.pack + [ 0x5b + , 0x94 + , 0xaa + , 0xed + , 0xd7 + , 0x83 + , 0x99 + , 0x8c + , 0xd5 + , 0x15 + , 0x35 + , 0x35 + , 0x18 + , 0xcc + , 0x45 + , 0xe2 + ] + ) + ] + +vectors_aes192_dec = + [ + ( B.replicate 24 0 + , B.replicate 16 0 + , B.pack + [ 0x13 + , 0x46 + , 0x0e + , 0x87 + , 0xa8 + , 0xfc + , 0x02 + , 0x3e + , 0xf2 + , 0x50 + , 0x1a + , 0xfe + , 0x7f + , 0xf5 + , 0x1c + , 0x51 + ] + ) + , + ( B.replicate 24 0 + , B.replicate 16 1 + , B.pack + [ 0x92 + , 0x17 + , 0x07 + , 0xc3 + , 0x3d + , 0x1c + , 0xc5 + , 0x96 + , 0x7d + , 0xa5 + , 0x1d + , 0xbb + , 0xb0 + , 0x66 + , 0xb2 + , 0x6c + ] + ) + , + ( B.replicate 24 1 + , B.replicate 16 2 + , B.pack + [ 0xee + , 0x92 + , 0x97 + , 0xc6 + , 0xba + , 0xe8 + , 0x26 + , 0x4d + , 0xff + , 0x08 + , 0x0e + , 0xbb + , 0x1e + , 0x74 + , 0x11 + , 0xc1 + ] + ) + , + ( B.replicate 24 2 + , B.replicate 16 1 + , B.pack + [ 0x49 + , 0x67 + , 0xdf + , 0x70 + , 0xd2 + , 0x9e + , 0x9a + , 0x7f + , 0x5d + , 0x7c + , 0xb9 + , 0xc1 + , 0x20 + , 0xc3 + , 0x8a + , 0x71 + ] + ) + , + ( B.replicate 24 3 + , B.replicate 16 2 + , B.pack + [ 0x74 + , 0x38 + , 0x62 + , 0x42 + , 0x6b + , 0x56 + , 0x7f + , 0xd5 + , 0xf0 + , 0x1d + , 0x1b + , 0x59 + , 0x56 + , 0x01 + , 0x26 + , 0x29 + ] + ) + ] + +vectors_aes256_dec = + [ + ( B.replicate 32 0 + , B.replicate 16 0 + , B.pack + [ 0x67 + , 0x67 + , 0x1c + , 0xe1 + , 0xfa + , 0x91 + , 0xdd + , 0xeb + , 0x0f + , 0x8f + , 0xbb + , 0xb3 + , 0x66 + , 0xb5 + , 0x31 + , 0xb4 + ] + ) + , + ( B.replicate 32 0 + , B.replicate 16 1 + , B.pack + [ 0xcc + , 0x09 + , 0x21 + , 0xa3 + , 0xc5 + , 0xca + , 0x17 + , 0xf7 + , 0x48 + , 0xb7 + , 0xc2 + , 0x7b + , 0x73 + , 0xba + , 0x87 + , 0xa2 + ] + ) + , + ( B.replicate 32 1 + , B.replicate 16 2 + , B.pack + [ 0xc0 + , 0x4b + , 0x27 + , 0x90 + , 0x1a + , 0x50 + , 0xcf + , 0xfa + , 0xf1 + , 0xbb + , 0x88 + , 0x9f + , 0xc0 + , 0x92 + , 0x5e + , 0x14 + ] + ) + , + ( B.replicate 32 2 + , B.replicate 16 1 + , B.pack + [ 0x24 + , 0x61 + , 0x53 + , 0x5d + , 0x16 + , 0x1c + , 0x15 + , 0x39 + , 0x88 + , 0x32 + , 0x77 + , 0x29 + , 0xc5 + , 0x8c + , 0xc0 + , 0x3a + ] + ) + , + ( B.replicate 32 3 + , B.replicate 16 2 + , B.pack + [ 0x30 + , 0xc9 + , 0x1c + , 0xce + , 0xfe + , 0x89 + , 0x30 + , 0xcf + , 0xff + , 0x31 + , 0xdb + , 0xcc + , 0xfc + , 0x11 + , 0xc5 + , 0x23 + ] + ) + ] diff --git a/tests/BlockCipher/AES/GCM.hs b/tests/BlockCipher/AES/GCM.hs new file mode 100644 --- /dev/null +++ b/tests/BlockCipher/AES/GCM.hs @@ -0,0 +1,173 @@ +{-# LANGUAGE OverloadedStrings #-} + +module BlockCipher.AES.GCM where + +import qualified Data.ByteString as B +import Data.ByteString.Char8 () + +-- (key, iv, aad, input, out, taglen, tag) +type KATGCM = + ( B.ByteString + , B.ByteString + , B.ByteString + , B.ByteString + , B.ByteString + , Int + , B.ByteString + ) + +vectors_aes128_enc :: [KATGCM] +vectors_aes128_enc = + [ -- vectors 0 + + ( {-key = -} "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , {-iv = -} "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , {-aad = -} "" + , {-input = -} "" + , {-out = -} "" + , {-taglen = -} 16 + , {-tag = -} "\x58\xe2\xfc\xce\xfa\x7e\x30\x61\x36\x7f\x1d\x57\xa4\xe7\x45\x5a" + ) + , -- vectors 1 + + ( {-key = -} "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , {-iv = -} "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , {-aad = -} "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , {-input = -} "\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a" + , {-out = -} "\x09\x82\xd0\xc4\x6a\xbc\xa9\x98\xf9\x22\xc8\xb3\x7b\xb8\xf4\x72\xfd\x9f\xa0\xa1\x43\x41\x53\x29\xfd\xf7\x83\xf5\x9e\x81\xcb\xea" + , {-taglen = -} 16 + , {-tag = -} "\x28\x50\x64\x2f\xa8\x8b\xab\x21\x2a\x67\x1a\x97\x48\x69\xa5\x6c" + ) + , -- vectors 2 + + ( {-key = -} "\x01\x02\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , {-iv = -} "\xff\xfe\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , {-aad = -} "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , {-input = -} "\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a" + , {-out = -} "\x1c\xa3\xb5\x41\x39\x6f\x19\x7a\x91\x2d\x27\x15\x70\xd1\xf5\x76\xde\xf1\xbe\x84\x42\x2a\xbb\xbe\x0b\x2d\x91\x21\x82\xbf\x7f\x17" + , {-taglen = -} 16 + , {-tag = -} "\x15\x2a\x05\xbb\x7e\x13\x5d\xbe\x93\x7f\xa0\x54\x7a\x8e\x74\xb6" + ) + , -- vectors 3 + + ( {-key = -} "\x01\x02\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , {-iv = -} "\xff\xfe\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , {-aad = -} "\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" + , {-input = -} "\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a" + , {-out = -} "\xda\x35\xf6\x0a\x65\xc2\xa4\x6c\xb6\x6e\xb6\xf8\x1f\x0b\x9c\x74\x53\x4c\x97\x70\x36\xf7\xdf\x05\x6d\x00\xfe\xbf\xb4\xcb\xf5\x27" + , {-taglen = -} 16 + , {-tag = -} "\xb7\x76\x7c\x3b\x9e\xf1\xe2\xcb\xc9\x11\xf1\x9a\xdc\xfa\x35\x0d" + ) + , + ( {-key = -} "\x01\x02\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , {-iv = -} "\xff\xfe\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , {-aad = -} "\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76" + , {-input = -} "\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b" + , {-out = -} "\xe4\x42\xf8\xc4\xc6\x67\x84\x86\x4a\x5a\x6e\xc7\xe0\xca\x68\xac\x16\xbc\x5b\xbf\xf7\xd5\xf3\xfa\xf3\xb2\xcb\xb0\xa2\x14\xa1\x81" + , {-taglen = -} 16 + , {-tag = -} "\x5f\x63\xb8\xeb\x1d\x6f\xa8\x7a\xeb\x39\xa5\xf6\xd7\xed\xc3\x13" + ) + , + ( {-key = -} "\x01\x02\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , {-iv = -} "\xff\xfe\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , {-aad = -} "\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76" + , {-input = -} "\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b" + , {-out = -} "\xe4\x42\xf8\xc4\xc6\x67\x84\x86\x4a\x5a\x6e\xc7\xe0\xca\x68\xac\x16\xbc\x5b\xbf\xf7\xd5\xf3\xfa\xf3\xb2\xcb\xb0\xa2\x14\xa1" + , {-taglen = -} 16 + , {-tag = -} "\x94\xd1\x47\xc3\xa2\xca\x93\xe9\x66\x93\x1e\x3b\xb3\xbb\x67\x01" + ) + , -- vector 6 tests 32-bit counter wrapping + + ( {-key = -} "\x01\x02\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , {-iv = -} "\xe8\x38\x84\x1d\x75\xae\x33\xb5\x4b\x51\x57\x89\xc9\x5f\xbe\x65" + , {-aad = -} "\x54\x68\x65\x20\x66\x69\x76\x65\x20\x62\x6f\x78\x69\x6e\x67\x20\x77\x69\x7a\x61\x72\x64\x73\x20\x6a\x75\x6d\x70\x20\x71\x75\x69\x63\x6b\x6c\x79\x2e" + , {-input = -} "\x54\x68\x65\x20\x71\x75\x69\x63\x6b\x20\x62\x72\x6f\x77\x6e\x20\x66\x6f\x78\x20\x6a\x75\x6d\x70\x73\x20\x6f\x76\x65\x72\x20\x74\x68\x65\x20\x6c\x61\x7a\x79\x20\x64\x6f\x67" + , {-out = -} "\x82\x31\x9e\x5a\x6a\x7f\x43\xd0\x42\x8c\xf1\x01\xcf\x0c\x75\xf1\x5d\xda\x4f\xa1\x28\x95\xcd\xd7\x7b\xd5\x42\x68\x2f\xcd\x10\x1b\x0c\x75\x05\x54\xf4\x2f\x2b\xf6\x69\x96\x29" + , {-taglen = -} 16 + , {-tag = -} "\x9a\xfa\xf4\xea\xae\x2e\x6f\x40\x00\xf4\x89\x77\xd0\x1e\xd5\x14" + ) + ] + +-- From OpenSSL 3.5, for the AES-192 paths: the suite had no GCM vector +-- at that key size at all. The lengths run over the empty message, a +-- single block, a partial one, exactly the eight blocks the hardware +-- loops take at a time, and nine and a bit. +vectors_aes192_enc :: [KATGCM] +vectors_aes192_enc = + [ + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab" + , "" + , "" + , "" + , 16 + , "\xc3\x12\x1f\x10\x89\xad\x0b\x07\x2c\xcc\x35\x15\xfd\x13\x76\x47" + ) + , + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab" + , "\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f\x60\x61\x62\x63" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c" + , "\xb0\x24\x29\x8e\xb3\x24\x04\x73\x09\x11\x3e\x1b\xe2\x73\xf1\x0c" + , 16 + , "\x46\xd6\x22\x38\x24\x81\x09\xb8\x1f\x72\x32\x99\x2e\x43\x18\xcf" + ) + , + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab" + , "\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f\x60\x61\x62\x63" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c\x73\x7a\x81\x88\x8f\x96\x9d\xa4\xab\xb2\xb9\xc0\xc7\xce\xd5\xdc\xe3\xea\xf1\xf8\xff\x06\x0d\x14\x1b\x22\x29\x30\x37\x3e\x45\x4c\x53\x5a\x61\x68\x6f\x76\x7d\x84\x8b\x92\x99\xa0" + , "\xb0\x24\x29\x8e\xb3\x24\x04\x73\x09\x11\x3e\x1b\xe2\x73\xf1\x0c\x75\x0b\xb2\xac\x3a\xe3\x6e\x13\x89\x3b\xc4\xc3\xcf\x7d\x54\x5b\x08\xc0\x2d\xd4\xe4\x6f\x6c\x96\xe5\x87\x8f\xa8\x1d\x94\x77\xd9\x6f\x02\xe9\xfa\x93\x9c\x90\x71\x62\xbe\x1b\xb1" + , 16 + , "\xcd\xf8\xad\xc9\xbe\x10\xbd\x38\xff\x0b\xb5\xad\x2a\x97\xd0\x23" + ) + , + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab" + , "" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c\x73\x7a\x81\x88\x8f\x96\x9d\xa4\xab\xb2\xb9\xc0\xc7\xce\xd5\xdc\xe3\xea\xf1\xf8\xff\x06\x0d\x14\x1b\x22\x29\x30\x37\x3e\x45\x4c\x53\x5a\x61\x68\x6f\x76\x7d\x84\x8b\x92\x99\xa0\xa7\xae\xb5\xbc\xc3\xca\xd1\xd8\xdf\xe6\xed\xf4\xfb\x02\x09\x10\x17\x1e\x25\x2c\x33\x3a\x41\x48\x4f\x56\x5d\x64\x6b\x72\x79\x80\x87\x8e\x95\x9c\xa3\xaa\xb1\xb8\xbf\xc6\xcd\xd4\xdb\xe2\xe9\xf0\xf7\xfe\x05\x0c\x13\x1a\x21\x28\x2f\x36\x3d\x44\x4b\x52\x59\x60\x67\x6e\x75\x7c" + , "\xb0\x24\x29\x8e\xb3\x24\x04\x73\x09\x11\x3e\x1b\xe2\x73\xf1\x0c\x75\x0b\xb2\xac\x3a\xe3\x6e\x13\x89\x3b\xc4\xc3\xcf\x7d\x54\x5b\x08\xc0\x2d\xd4\xe4\x6f\x6c\x96\xe5\x87\x8f\xa8\x1d\x94\x77\xd9\x6f\x02\xe9\xfa\x93\x9c\x90\x71\x62\xbe\x1b\xb1\x99\x07\xc2\xe0\x6f\x29\x8d\xca\x4e\xc1\xb8\x16\x48\xd6\x52\xd7\x58\xb9\xcd\xd6\xee\x16\xbb\x45\x09\x14\x3b\xe0\x5d\x75\xb0\x0a\x33\x78\xa9\x3a\x51\xaf\x1a\x7d\x26\x06\x7d\x0f\x34\x85\x41\x73\xbe\xc6\x0f\x84\xd4\x17\xcb\xab\x16\xbf\x86\x77\xc1\x05\xef\x94\xc6\xc7\x23\x97" + , 16 + , "\x9f\x90\x5a\x7a\x0b\x5f\x37\x20\xf3\xa3\x58\xff\x9b\x5b\xe9\x92" + ) + , + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab" + , "\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c\x73\x7a\x81\x88\x8f\x96\x9d\xa4\xab\xb2\xb9\xc0\xc7\xce\xd5\xdc\xe3\xea\xf1\xf8\xff\x06\x0d\x14\x1b\x22\x29\x30\x37\x3e\x45\x4c\x53\x5a\x61\x68\x6f\x76\x7d\x84\x8b\x92\x99\xa0\xa7\xae\xb5\xbc\xc3\xca\xd1\xd8\xdf\xe6\xed\xf4\xfb\x02\x09\x10\x17\x1e\x25\x2c\x33\x3a\x41\x48\x4f\x56\x5d\x64\x6b\x72\x79\x80\x87\x8e\x95\x9c\xa3\xaa\xb1\xb8\xbf\xc6\xcd\xd4\xdb\xe2\xe9\xf0\xf7\xfe\x05\x0c\x13\x1a\x21\x28\x2f\x36\x3d\x44\x4b\x52\x59\x60\x67\x6e\x75\x7c\x83\x8a\x91\x98\x9f\xa6\xad\xb4\xbb\xc2\xc9\xd0\xd7\xde\xe5\xec\xf3\xfa" + , "\xb0\x24\x29\x8e\xb3\x24\x04\x73\x09\x11\x3e\x1b\xe2\x73\xf1\x0c\x75\x0b\xb2\xac\x3a\xe3\x6e\x13\x89\x3b\xc4\xc3\xcf\x7d\x54\x5b\x08\xc0\x2d\xd4\xe4\x6f\x6c\x96\xe5\x87\x8f\xa8\x1d\x94\x77\xd9\x6f\x02\xe9\xfa\x93\x9c\x90\x71\x62\xbe\x1b\xb1\x99\x07\xc2\xe0\x6f\x29\x8d\xca\x4e\xc1\xb8\x16\x48\xd6\x52\xd7\x58\xb9\xcd\xd6\xee\x16\xbb\x45\x09\x14\x3b\xe0\x5d\x75\xb0\x0a\x33\x78\xa9\x3a\x51\xaf\x1a\x7d\x26\x06\x7d\x0f\x34\x85\x41\x73\xbe\xc6\x0f\x84\xd4\x17\xcb\xab\x16\xbf\x86\x77\xc1\x05\xef\x94\xc6\xc7\x23\x97\x3f\xcf\xce\x87\x9d\x34\x08\xda\x6b\x47\x5d\xff\xa3\xb6\x19\xc7\xdb\x99" + , 16 + , "\xf9\xfd\x33\x7f\xf0\x8f\x5f\xc8\xc0\xe9\x9d\x6d\xe6\xbb\xe2\xec" + ) + ] + +vectors_aes256_enc :: [KATGCM] +vectors_aes256_enc = + [ + ( "\xb5\x2c\x50\x5a\x37\xd7\x8e\xda\x5d\xd3\x4f\x20\xc2\x25\x40\xea\x1b\x58\x96\x3c\xf8\xe5\xbf\x8f\xfa\x85\xf9\xf2\x49\x25\x05\xb4" + , "\x51\x6c\x33\x92\x9d\xf5\xa3\x28\x4f\xf4\x63\xd7" + , "" + , "" + , "" + , 16 + , "\xbd\xc1\xac\x88\x4d\x33\x24\x57\xa1\xd2\x66\x4f\x16\x8c\x76\xf0" + ) + , + ( "\x78\xdc\x4e\x0a\xaf\x52\xd9\x35\xc3\xc0\x1e\xea\x57\x42\x8f\x00\xca\x1f\xd4\x75\xf5\xda\x86\xa4\x9c\x8d\xd7\x3d\x68\xc8\xe2\x23" + , "\xd7\x9c\xf2\x2d\x50\x4c\xc7\x93\xc3\xfb\x6c\x8a" + , "\xb9\x6b\xaa\x8c\x1c\x75\xa6\x71\xbf\xb2\xd0\x8d\x06\xbe\x5f\x36" + , "" + , "" + , 16 + , "\x3e\x5d\x48\x6a\xa2\xe3\x0b\x22\xe0\x40\xb8\x57\x23\xa0\x6e\x76" + ) + , + ( "\xc3\xf1\x05\x86\xf2\x46\xaa\xca\xdc\xce\x37\x01\x44\x17\x70\xc0\x3c\xfe\xc9\x40\xaf\xe1\x90\x8c\x4c\x53\x7d\xf4\xe0\x1c\x50\xa0" + , "\x4f\x52\xfa\xa1\xfa\x67\xa0\xe5\xf4\x19\x64\x52" + , "\x46\xf9\xa2\x2b\x4e\x52\xe1\x52\x65\x13\xa9\x52\xdb\xee\x3b\x91\xf6\x95\x95\x50\x1e\x01\x77\xd5\x0f\xf3\x64\x63\x85\x88\xc0\x8d\x92\xfa\xb8\xc5\x8a\x96\x9b\xdc\xc8\x4c\x46\x8d\x84\x98\xc4\xf0\x63\x92\xb9\x9e\xd5\xe0\xc4\x84\x50\x7f\xc4\x8d\xc1\x8d\x87\xc4\x0e\x2e\xd8\x48\xb4\x31\x50\xbe\x9d\x36\xf1\x4c\xf2\xce\xf1\x31\x0b\xa4\xa7\x45\xad\xcc\x7b\xdc\x41\xf6" + , "\x79\xd9\x7e\xa3\xa2\xed\xd6\x50\x45\x82\x1e\xa7\x45\xa4\x47\x42" + , "\x56\x0c\xf7\x16\xe5\x61\x90\xe9\x39\x7c\x2f\x10\x36\x29\xeb\x1f" + , 16 + , "\xff\x7c\x91\x24\x87\x96\x44\xe8\x05\x55\x68\x7d\x27\x3c\x55\xd8" + ) + ] diff --git a/tests/BlockCipher/AES/GCMLong.hs b/tests/BlockCipher/AES/GCMLong.hs new file mode 100644 --- /dev/null +++ b/tests/BlockCipher/AES/GCMLong.hs @@ -0,0 +1,1138 @@ +{-# LANGUAGE OverloadedStrings #-} + +-- | AES-GCM over messages long enough to reach the bulk loops -- the +-- eight-block group of the AES-NI path, and the assembly beyond it, which +-- take 96 and 288 bytes respectively before they do anything. The lengths +-- sit either side of those boundaries and of the block size. +-- +-- Writing the messages and the ciphertexts out would run to hundreds of +-- kilobytes of literals, so both are given by a rule instead: the input is +-- a fixed pattern of the stated length and what is recorded is the tag and +-- the SHA-256 of the ciphertext. The expected values come from OpenSSL +-- 3.6.4 through EVP. +module BlockCipher.AES.GCMLong ( + KATGCMLong, + gcmKey, + gcmIV, + gcmAAD, + gcmPlaintext, + vectors, +) where + +import qualified Data.ByteString as B +import Data.ByteString.Char8 () +import Data.Word (Word8) + +-- (key length, AAD length, message length, tag, SHA-256 of the ciphertext) +type KATGCMLong = (Int, Int, Int, B.ByteString, B.ByteString) + +pattern_ :: Int -> Int -> Int -> B.ByteString +pattern_ a b n = B.pack [fromIntegral (i * a + b) :: Word8 | i <- [0 .. n - 1]] + +gcmKey :: Int -> B.ByteString +gcmKey n = B.pack [fromIntegral (i + 0x40) :: Word8 | i <- [0 .. n - 1]] + +gcmIV :: B.ByteString +gcmIV = B.pack [fromIntegral (0xf0 - i) :: Word8 | i <- [0 .. 11 :: Int]] + +gcmAAD :: Int -> B.ByteString +gcmAAD = pattern_ 3 1 + +gcmPlaintext :: Int -> B.ByteString +gcmPlaintext = pattern_ 7 3 + +vectors :: [KATGCMLong] +vectors = + [ + ( 16 + , 0 + , 0 + , "\xb7\x4b\x23\x40\x36\x14\xec\x89\x6e\x0c\xbe\x06\xb8\x72\x79\x80" + , "\xe3\xb0\xc4\x42\x98\xfc\x1c\x14\x9a\xfb\xf4\xc8\x99\x6f\xb9\x24\x27\xae\x41\xe4\x64\x9b\x93\x4c\xa4\x95\x99\x1b\x78\x52\xb8\x55" + ) + , + ( 16 + , 0 + , 1 + , "\x21\x9e\x2e\x1d\x60\x79\xae\xae\x73\x79\xef\x6a\x59\x1c\xaf\x3c" + , "\x8a\x8d\xe8\x23\xd5\xed\x3e\x12\x74\x6a\x62\xef\x16\x9b\xcf\x37\x2b\xe0\xca\x44\xf0\xa1\x23\x6a\xbc\x35\xdf\x05\xd9\x69\x28\xe1" + ) + , + ( 16 + , 0 + , 15 + , "\x75\x13\x81\x33\xc3\x3a\xff\x75\x60\x5a\x8c\xc6\x38\x27\x18\x40" + , "\xa3\xc9\xf6\x0d\x54\x49\xb3\x48\x83\xba\x20\xc4\x89\x74\x46\xaf\x1e\x27\x86\xff\x18\x40\x31\xa1\xa9\x6a\xd7\x0a\x58\x1a\x38\xfb" + ) + , + ( 16 + , 0 + , 16 + , "\xf5\xe5\x3d\xd3\x2e\x2f\x98\x47\xb5\xed\x40\x0e\x75\x18\xae\x71" + , "\xeb\xe5\xf7\xf7\x43\x47\x3e\x4a\x3b\x82\xbb\xdd\xd4\xee\x4a\xaf\xbe\x73\xbb\x2c\xa4\xc8\xf0\xa5\xc7\xb6\xd5\x97\x4b\xaf\xcd\x0e" + ) + , + ( 16 + , 0 + , 17 + , "\xcc\x69\x37\x31\xc5\x15\xd3\x13\xf3\xf1\x71\x4e\x19\x74\xf9\x32" + , "\xe7\xd1\xc1\xa8\xb6\xc6\xaf\x32\x2f\xe3\xeb\xae\x6f\xb7\x27\xde\x3d\xde\xe0\x28\x7f\x8f\x43\xe5\xc0\x2a\xb4\x95\xae\xd6\xd4\x74" + ) + , + ( 16 + , 0 + , 95 + , "\x6e\xac\x93\xfa\x12\x70\x0f\xda\x86\x8f\x26\xa7\xe7\xe6\xaf\x2f" + , "\x05\xbf\xb1\x40\x93\xea\x41\xe2\xe3\xac\x14\xf0\x41\x6d\xc0\xc8\xf6\x29\x25\xbd\xdc\x16\x57\x63\x28\x11\x1a\xc7\x71\x1f\x04\xa0" + ) + , + ( 16 + , 0 + , 96 + , "\xe6\xd8\xb3\xd9\x12\xea\x15\x92\xc5\x5c\x04\xf3\x39\x01\x3a\xcd" + , "\x61\x6d\x16\x55\x7e\x6c\x2a\x43\xe1\x61\x92\x7c\x64\xf1\x0c\x70\x5c\xc0\x25\xbe\x47\xa3\x28\xa9\x9a\xe3\xab\x86\x83\x96\x5b\x0c" + ) + , + ( 16 + , 0 + , 97 + , "\xda\x50\xec\xfa\xed\xe5\xe4\xca\x51\x9d\x42\xe3\x0b\xf7\x6b\x96" + , "\x54\x91\xf4\xcc\x30\x36\xa1\x7e\xbe\xeb\x16\xa3\x59\x74\xe0\xac\xa7\x51\x53\x09\x1b\x12\xcc\xd2\x01\x70\x9f\xc1\xa1\x3b\x03\x31" + ) + , + ( 16 + , 0 + , 112 + , "\x55\x5f\x7c\x75\xb8\xa1\x9b\xd6\x85\xc8\x11\xd3\xca\x97\x3e\x9e" + , "\x34\x3c\x8d\xf0\x33\x39\xfb\x89\x5e\xa2\x49\xd5\xa5\x45\x24\x8c\x33\x11\x52\xbb\x76\x04\xa9\xa2\x01\x10\xb5\x44\x49\x51\xae\x80" + ) + , + ( 16 + , 0 + , 159 + , "\xcb\xb3\x51\xbe\xfa\x99\xf4\x53\x22\xaa\xf6\x80\xdf\xa1\xb2\xc0" + , "\x9a\x12\xd7\x0e\xe8\xdd\x96\xac\xbc\x22\x4d\x71\x0b\xd3\x53\x49\x07\xfd\x54\x95\xf1\xb2\xf8\xf8\x47\x6e\x13\x91\x2a\xe0\xb5\x45" + ) + , + ( 16 + , 0 + , 160 + , "\x47\x4c\xd6\x6c\x93\xcb\xb3\x1c\x4a\x50\x71\xdd\xff\xbc\xfc\x41" + , "\x1b\x3e\xf6\x7f\xfa\xe8\x40\xbe\xc9\x2d\xc6\xa0\x13\x80\x47\xd5\x1c\x39\xf1\xe7\x71\x33\x57\x9b\xea\xec\x35\xfa\x50\x29\x51\xa1" + ) + , + ( 16 + , 0 + , 191 + , "\xc8\xfc\x72\x46\xd6\xe6\x73\x3a\xe9\x93\x2e\x11\xb9\x32\x43\x53" + , "\x6e\x35\x69\x18\x73\x5e\x0e\x3a\xa0\x0d\x28\x0b\x07\x13\xde\xc3\x68\x97\xbd\xa5\x32\xd8\xb0\x60\x27\x61\x58\x8e\x71\xb0\xcb\x34" + ) + , + ( 16 + , 0 + , 192 + , "\x2c\x74\xd1\x29\x67\xa7\x94\x18\x7d\x49\x36\xcf\x2d\x20\xcd\xdd" + , "\x6b\x55\x0d\x71\x75\xba\xd4\x2c\x0f\x3d\x44\x24\xad\x19\xd5\x66\xbc\xa6\x5d\xcc\xc8\xc7\x81\x4f\x6e\x33\x2d\xb8\x67\x67\x02\x87" + ) + , + ( 16 + , 0 + , 287 + , "\x1b\xc9\xe8\x6b\x95\x95\x1b\x34\x4a\x16\x0c\x01\x4f\x46\x7a\xbe" + , "\x1f\xa9\x9b\x5e\x49\xfa\xe4\x99\x3f\x90\x95\x04\x7f\x92\xf6\xba\xa3\x8e\x79\xae\x7b\xdd\x2f\x3d\xba\x88\xe6\x18\xa9\xed\xc6\x78" + ) + , + ( 16 + , 0 + , 288 + , "\x33\x1b\x69\x63\x64\x24\x46\x87\x8c\x8a\x7c\x3c\xa8\x29\x78\x77" + , "\x35\x84\x4c\x16\xd6\x16\x31\x04\xd1\x43\xc7\xcd\x10\x90\x41\x03\x32\x48\xe9\x5c\xfd\xc0\x4c\xef\x42\x52\xc0\xe0\x45\xec\x8e\x0f" + ) + , + ( 16 + , 0 + , 289 + , "\x35\x45\xd6\x40\xaf\x6c\x5d\x5a\xc2\x73\x93\x8e\x4f\x9e\x6f\x08" + , "\xce\x08\x82\x6c\x10\x30\xd8\xda\xf8\x01\xd7\x47\x85\xd3\x4b\xbe\x25\xb5\x43\x52\x50\x90\xa9\x29\x8f\x48\xc4\x1c\x16\x90\x0c\xee" + ) + , + ( 16 + , 0 + , 304 + , "\x87\xa4\x6b\x61\xf7\xd8\x19\x5a\x82\x6c\xba\x18\x21\xb7\x40\x43" + , "\x9f\x74\x66\xcf\xdd\x78\xaf\x93\x36\x0e\xe2\xf2\xc5\x74\xed\xdf\xb3\xb6\x40\xcf\x3a\xa5\xd0\x61\x12\x3e\x09\x07\xae\x4a\x0f\xef" + ) + , + ( 16 + , 0 + , 383 + , "\xfc\x60\x06\xbc\xba\x02\x4c\xaa\x9e\xbf\xe6\xc2\xe8\x1a\xc3\xd3" + , "\x23\xdb\xda\x5f\xd3\xf1\x66\x1b\xc9\xb6\xb4\x88\x21\x3e\x8c\xc5\xc9\x7f\xd7\x6e\x8a\x26\x4b\x09\xc8\x43\x64\x1a\xb0\x41\xb2\xb5" + ) + , + ( 16 + , 0 + , 384 + , "\x63\xf4\x5e\xd3\xb8\xd1\x23\x58\x94\x2e\x33\xb9\xc9\xa7\xf3\xab" + , "\x67\xec\x7b\x0e\x61\x15\xbb\xc5\xfa\x00\x43\xad\x07\x89\x6e\xff\x77\xe9\xe8\x7e\x6f\x76\xb1\xd8\xb5\x08\x36\xdc\xde\x19\xb9\xb8" + ) + , + ( 16 + , 0 + , 385 + , "\xaf\xf8\x9c\xe4\x5e\x33\x16\x0d\x83\xc1\x0d\x80\xcf\x5d\x15\x3e" + , "\x8e\xf0\x14\x46\x53\x7d\x9c\x16\xb0\xd8\x7e\xfa\xff\xf1\xa9\x9a\x83\x76\xe2\x1b\xd3\x9b\xc8\x61\xb7\xf8\x13\xa4\xed\x06\xfd\xce" + ) + , + ( 16 + , 0 + , 480 + , "\xfc\x11\x26\x7d\xb7\xfa\xc2\xe4\x40\x27\xad\x9b\x21\xdf\xf0\x9e" + , "\x73\x56\xb8\xf7\x72\x11\x76\xc4\x0b\x51\xd2\xa6\x01\xe9\x2a\x2e\x09\x7e\x42\xfa\x3e\x53\xd1\x79\x46\xb3\x3a\x20\x17\x1a\x90\xa3" + ) + , + ( 16 + , 0 + , 576 + , "\xbb\xca\x37\xa6\xa7\x6d\x38\x2d\x27\xc5\x12\x35\xf3\xe5\x76\x9b" + , "\x74\x93\xe2\xe2\x80\x8d\xb2\xc9\xc8\xe1\x99\x54\x63\xc5\x3f\xce\xea\x9d\x54\x97\x94\x08\x99\xce\xdf\x8c\xb9\x2f\x9d\xf7\xe1\xb8" + ) + , + ( 16 + , 0 + , 1023 + , "\x97\x07\xe2\x3a\x86\xac\xf2\x25\xbf\x9b\x04\x87\x1f\xe2\x31\xfb" + , "\xe4\xf8\x93\x21\x93\x1d\x07\x3c\x3a\x7b\xf1\xf5\x81\x7f\x86\xbd\xf5\x4f\xdb\xed\xa5\x28\x67\xba\x32\x91\xe0\xe5\x06\xe6\x35\x6d" + ) + , + ( 16 + , 0 + , 1024 + , "\x83\x5e\xdf\x28\x20\x2e\x9f\x21\xee\xd1\xdc\x5c\x99\x3d\x51\xa5" + , "\x47\x29\x52\xfa\xa4\xe7\xeb\xea\x8c\x57\x95\xa6\x8b\x1b\xf0\xdf\x04\x8e\xa6\xd7\x12\x0c\xb1\x7d\x25\x9f\x00\xfe\xab\x67\x4f\x22" + ) + , + ( 16 + , 0 + , 1025 + , "\x2b\xad\xe2\x48\xfe\x36\x12\xdb\x39\x9a\x80\xac\x3c\xfa\xd8\x75" + , "\xf3\x7a\xf7\xec\xd0\x99\x32\xe8\xdd\xb7\xc7\x96\x01\x44\xba\xe0\x28\x3c\xe3\x7a\x25\x87\x5e\xd9\xd7\x42\x45\xcb\x04\x01\x92\x5d" + ) + , + ( 16 + , 0 + , 4099 + , "\xb5\xbd\x54\x91\xe7\xd7\x24\xe0\x32\x7b\x99\x89\x1a\x1f\x57\x06" + , "\x91\xae\x42\x66\xa7\x07\x98\x08\xaa\x85\x75\xdc\x4a\xa2\x29\x7b\x89\x44\x67\xbd\x4d\x40\x2d\x15\x62\xeb\x3f\xd6\x66\x9b\x3b\x32" + ) + , + ( 16 + , 20 + , 0 + , "\x28\xf8\xfa\xef\x7c\xf9\x67\x84\x7b\x7d\x04\xa6\x3b\x20\x60\x5c" + , "\xe3\xb0\xc4\x42\x98\xfc\x1c\x14\x9a\xfb\xf4\xc8\x99\x6f\xb9\x24\x27\xae\x41\xe4\x64\x9b\x93\x4c\xa4\x95\x99\x1b\x78\x52\xb8\x55" + ) + , + ( 16 + , 20 + , 1 + , "\x05\xbe\x76\x39\x63\xe0\x05\xe3\xca\xf6\x12\x41\x8b\x22\xb7\xc5" + , "\x8a\x8d\xe8\x23\xd5\xed\x3e\x12\x74\x6a\x62\xef\x16\x9b\xcf\x37\x2b\xe0\xca\x44\xf0\xa1\x23\x6a\xbc\x35\xdf\x05\xd9\x69\x28\xe1" + ) + , + ( 16 + , 20 + , 15 + , "\x51\x33\xd9\x17\xc0\xa3\x54\x38\xd9\xd5\x71\xed\xea\x19\x00\xb9" + , "\xa3\xc9\xf6\x0d\x54\x49\xb3\x48\x83\xba\x20\xc4\x89\x74\x46\xaf\x1e\x27\x86\xff\x18\x40\x31\xa1\xa9\x6a\xd7\x0a\x58\x1a\x38\xfb" + ) + , + ( 16 + , 20 + , 16 + , "\xd1\xc5\x65\xf7\x2d\xb6\x33\x0a\x0c\x62\xbd\x25\xa7\x26\xb6\x88" + , "\xeb\xe5\xf7\xf7\x43\x47\x3e\x4a\x3b\x82\xbb\xdd\xd4\xee\x4a\xaf\xbe\x73\xbb\x2c\xa4\xc8\xf0\xa5\xc7\xb6\xd5\x97\x4b\xaf\xcd\x0e" + ) + , + ( 16 + , 20 + , 17 + , "\x1a\x92\xfe\x2d\xf9\x3b\xdd\xa3\x64\xce\x15\xf6\x96\x89\x41\xe8" + , "\xe7\xd1\xc1\xa8\xb6\xc6\xaf\x32\x2f\xe3\xeb\xae\x6f\xb7\x27\xde\x3d\xde\xe0\x28\x7f\x8f\x43\xe5\xc0\x2a\xb4\x95\xae\xd6\xd4\x74" + ) + , + ( 16 + , 20 + , 95 + , "\x06\xb3\x0c\xca\xb5\xbe\xf0\xba\x89\xeb\x10\xe4\x65\xb8\x88\xb0" + , "\x05\xbf\xb1\x40\x93\xea\x41\xe2\xe3\xac\x14\xf0\x41\x6d\xc0\xc8\xf6\x29\x25\xbd\xdc\x16\x57\x63\x28\x11\x1a\xc7\x71\x1f\x04\xa0" + ) + , + ( 16 + , 20 + , 96 + , "\x8e\xc7\x2c\xe9\xb5\x24\xea\xf2\xca\x38\x32\xb0\xbb\x5f\x1d\x52" + , "\x61\x6d\x16\x55\x7e\x6c\x2a\x43\xe1\x61\x92\x7c\x64\xf1\x0c\x70\x5c\xc0\x25\xbe\x47\xa3\x28\xa9\x9a\xe3\xab\x86\x83\x96\x5b\x0c" + ) + , + ( 16 + , 20 + , 97 + , "\x24\x28\x51\x23\xbc\x1e\x28\xec\x9d\x4f\x98\x97\x85\xb4\x8c\x33" + , "\x54\x91\xf4\xcc\x30\x36\xa1\x7e\xbe\xeb\x16\xa3\x59\x74\xe0\xac\xa7\x51\x53\x09\x1b\x12\xcc\xd2\x01\x70\x9f\xc1\xa1\x3b\x03\x31" + ) + , + ( 16 + , 20 + , 112 + , "\xab\x27\xc1\xac\xe9\x5a\x57\xf0\x49\x1a\xcb\xa7\x44\xd4\xd9\x3b" + , "\x34\x3c\x8d\xf0\x33\x39\xfb\x89\x5e\xa2\x49\xd5\xa5\x45\x24\x8c\x33\x11\x52\xbb\x76\x04\xa9\xa2\x01\x10\xb5\x44\x49\x51\xae\x80" + ) + , + ( 16 + , 20 + , 159 + , "\xe2\x61\xff\x5c\x16\x63\x29\xab\x90\xf7\x88\x56\x6c\x52\xc5\xd4" + , "\x9a\x12\xd7\x0e\xe8\xdd\x96\xac\xbc\x22\x4d\x71\x0b\xd3\x53\x49\x07\xfd\x54\x95\xf1\xb2\xf8\xf8\x47\x6e\x13\x91\x2a\xe0\xb5\x45" + ) + , + ( 16 + , 20 + , 160 + , "\x6e\x9e\x78\x8e\x7f\x31\x6e\xe4\xf8\x0d\x0f\x0b\x4c\x4f\x8b\x55" + , "\x1b\x3e\xf6\x7f\xfa\xe8\x40\xbe\xc9\x2d\xc6\xa0\x13\x80\x47\xd5\x1c\x39\xf1\xe7\x71\x33\x57\x9b\xea\xec\x35\xfa\x50\x29\x51\xa1" + ) + , + ( 16 + , 20 + , 191 + , "\x8c\xa1\x85\xb7\xd9\xde\x69\xa0\x5e\x4d\xe6\xcc\xc2\x2e\x20\x3b" + , "\x6e\x35\x69\x18\x73\x5e\x0e\x3a\xa0\x0d\x28\x0b\x07\x13\xde\xc3\x68\x97\xbd\xa5\x32\xd8\xb0\x60\x27\x61\x58\x8e\x71\xb0\xcb\x34" + ) + , + ( 16 + , 20 + , 192 + , "\x68\x29\x26\xd8\x68\x9f\x8e\x82\xca\x97\xfe\x12\x56\x3c\xae\xb5" + , "\x6b\x55\x0d\x71\x75\xba\xd4\x2c\x0f\x3d\x44\x24\xad\x19\xd5\x66\xbc\xa6\x5d\xcc\xc8\xc7\x81\x4f\x6e\x33\x2d\xb8\x67\x67\x02\x87" + ) + , + ( 16 + , 20 + , 287 + , "\xd9\xf4\xe4\xf2\xf8\x3d\x83\xf1\x5e\x84\x5d\x3f\x91\x23\x3a\xde" + , "\x1f\xa9\x9b\x5e\x49\xfa\xe4\x99\x3f\x90\x95\x04\x7f\x92\xf6\xba\xa3\x8e\x79\xae\x7b\xdd\x2f\x3d\xba\x88\xe6\x18\xa9\xed\xc6\x78" + ) + , + ( 16 + , 20 + , 288 + , "\xf1\x26\x65\xfa\x09\x8c\xde\x42\x98\x18\x2d\x02\x76\x4c\x38\x17" + , "\x35\x84\x4c\x16\xd6\x16\x31\x04\xd1\x43\xc7\xcd\x10\x90\x41\x03\x32\x48\xe9\x5c\xfd\xc0\x4c\xef\x42\x52\xc0\xe0\x45\xec\x8e\x0f" + ) + , + ( 16 + , 20 + , 289 + , "\x4e\x47\x7c\x8c\x3c\x62\xd6\xba\xe0\xb7\x62\x17\x61\x85\x3a\x78" + , "\xce\x08\x82\x6c\x10\x30\xd8\xda\xf8\x01\xd7\x47\x85\xd3\x4b\xbe\x25\xb5\x43\x52\x50\x90\xa9\x29\x8f\x48\xc4\x1c\x16\x90\x0c\xee" + ) + , + ( 16 + , 20 + , 304 + , "\xfc\xa6\xc1\xad\x64\xd6\x92\xba\xa0\xa8\x4b\x81\x0f\xac\x15\x33" + , "\x9f\x74\x66\xcf\xdd\x78\xaf\x93\x36\x0e\xe2\xf2\xc5\x74\xed\xdf\xb3\xb6\x40\xcf\x3a\xa5\xd0\x61\x12\x3e\x09\x07\xae\x4a\x0f\xef" + ) + , + ( 16 + , 20 + , 383 + , "\xa0\x31\x4b\xd9\x85\x83\xe7\x9e\x8b\xfc\xbb\xe1\x01\x18\x44\x17" + , "\x23\xdb\xda\x5f\xd3\xf1\x66\x1b\xc9\xb6\xb4\x88\x21\x3e\x8c\xc5\xc9\x7f\xd7\x6e\x8a\x26\x4b\x09\xc8\x43\x64\x1a\xb0\x41\xb2\xb5" + ) + , + ( 16 + , 20 + , 384 + , "\x3f\xa5\x13\xb6\x87\x50\x88\x6c\x81\x6d\x6e\x9a\x20\xa5\x74\x6f" + , "\x67\xec\x7b\x0e\x61\x15\xbb\xc5\xfa\x00\x43\xad\x07\x89\x6e\xff\x77\xe9\xe8\x7e\x6f\x76\xb1\xd8\xb5\x08\x36\xdc\xde\x19\xb9\xb8" + ) + , + ( 16 + , 20 + , 385 + , "\xf4\x22\xff\x5f\x0e\x3f\xa1\xfa\x44\xa2\x78\x5d\xf0\xb9\x48\x11" + , "\x8e\xf0\x14\x46\x53\x7d\x9c\x16\xb0\xd8\x7e\xfa\xff\xf1\xa9\x9a\x83\x76\xe2\x1b\xd3\x9b\xc8\x61\xb7\xf8\x13\xa4\xed\x06\xfd\xce" + ) + , + ( 16 + , 20 + , 480 + , "\x56\xb6\xac\xdb\x6f\x9b\xf9\x69\xc0\x01\x21\x93\xf5\xe0\xab\xd6" + , "\x73\x56\xb8\xf7\x72\x11\x76\xc4\x0b\x51\xd2\xa6\x01\xe9\x2a\x2e\x09\x7e\x42\xfa\x3e\x53\xd1\x79\x46\xb3\x3a\x20\x17\x1a\x90\xa3" + ) + , + ( 16 + , 20 + , 576 + , "\xec\x0f\x49\x67\xaf\x67\x63\x78\x13\xe3\x23\xa4\x36\x76\xcc\xe2" + , "\x74\x93\xe2\xe2\x80\x8d\xb2\xc9\xc8\xe1\x99\x54\x63\xc5\x3f\xce\xea\x9d\x54\x97\x94\x08\x99\xce\xdf\x8c\xb9\x2f\x9d\xf7\xe1\xb8" + ) + , + ( 16 + , 20 + , 1023 + , "\x7a\xe2\x50\x10\xe9\x53\x9d\x2e\xd7\xa4\x2e\x66\x72\x38\xfd\x7f" + , "\xe4\xf8\x93\x21\x93\x1d\x07\x3c\x3a\x7b\xf1\xf5\x81\x7f\x86\xbd\xf5\x4f\xdb\xed\xa5\x28\x67\xba\x32\x91\xe0\xe5\x06\xe6\x35\x6d" + ) + , + ( 16 + , 20 + , 1024 + , "\x6e\xbb\x6d\x02\x4f\xd1\xf0\x2a\x86\xee\xf6\xbd\xf4\xe7\x9d\x21" + , "\x47\x29\x52\xfa\xa4\xe7\xeb\xea\x8c\x57\x95\xa6\x8b\x1b\xf0\xdf\x04\x8e\xa6\xd7\x12\x0c\xb1\x7d\x25\x9f\x00\xfe\xab\x67\x4f\x22" + ) + , + ( 16 + , 20 + , 1025 + , "\x4c\xfe\x1e\xf9\xcc\x4e\x5d\xc0\x80\x79\xa5\x58\xf2\x27\xfa\xa6" + , "\xf3\x7a\xf7\xec\xd0\x99\x32\xe8\xdd\xb7\xc7\x96\x01\x44\xba\xe0\x28\x3c\xe3\x7a\x25\x87\x5e\xd9\xd7\x42\x45\xcb\x04\x01\x92\x5d" + ) + , + ( 16 + , 20 + , 4099 + , "\x4b\x37\x40\xe3\x59\xd6\x2f\x1d\x40\xb9\x14\xb0\xf1\xd7\x6f\xf7" + , "\x91\xae\x42\x66\xa7\x07\x98\x08\xaa\x85\x75\xdc\x4a\xa2\x29\x7b\x89\x44\x67\xbd\x4d\x40\x2d\x15\x62\xeb\x3f\xd6\x66\x9b\x3b\x32" + ) + , + ( 24 + , 0 + , 0 + , "\xde\xec\xf4\x23\xc2\x6e\x84\xa0\x91\x2b\x1d\xb2\x32\x47\x0b\xfa" + , "\xe3\xb0\xc4\x42\x98\xfc\x1c\x14\x9a\xfb\xf4\xc8\x99\x6f\xb9\x24\x27\xae\x41\xe4\x64\x9b\x93\x4c\xa4\x95\x99\x1b\x78\x52\xb8\x55" + ) + , + ( 24 + , 0 + , 1 + , "\xe0\x1e\x9d\x0a\x98\xd0\x02\x27\xf8\x68\x4c\x8e\x97\xd6\x9c\xc0" + , "\x65\xc7\x4c\x15\xa6\x86\x18\x7b\xb6\xbb\xf9\x95\x8f\x49\x4f\xc6\xb8\x00\x68\x03\x4a\x65\x9a\x9a\xd4\x49\x91\xb0\x8c\x58\xf2\xd2" + ) + , + ( 24 + , 0 + , 15 + , "\x19\x32\x52\x67\x67\xbb\xee\x27\xec\xd4\xef\xe1\x15\x5b\x94\x4f" + , "\xd9\x1f\x32\x05\x01\xb1\xb6\xd1\xf7\x18\x68\xbe\x66\x57\x31\xa9\xa2\x04\x8a\xbe\xf3\xaf\xf4\x56\x78\xb6\x79\xee\xb3\x49\xae\xf9" + ) + , + ( 24 + , 0 + , 16 + , "\x02\xa9\x6d\x98\x17\x40\x13\xa1\x32\x9c\xd9\x7d\xfc\x3f\x56\x28" + , "\x46\x9f\xd3\x7f\x52\x32\x1f\xd3\x01\xfe\x91\x3f\xa5\xb0\xec\xfe\xf8\x29\x25\x2e\x54\x08\xe1\xe8\x9b\x28\x1d\xba\xe4\x6b\x0d\x5e" + ) + , + ( 24 + , 0 + , 17 + , "\x9d\x65\xb0\x7e\xea\x52\xb9\xc7\x30\x6f\xff\x13\x66\x78\x5f\x0c" + , "\xed\xcf\x38\x1d\x7b\x81\xb9\x0e\xf0\x70\x40\xe4\x32\x20\x9b\x63\x83\x2f\x64\x3a\x21\x63\xb3\x13\x10\x2a\x27\x48\xca\xd9\x46\xf1" + ) + , + ( 24 + , 0 + , 95 + , "\x0c\x44\x17\x11\x74\x65\x4f\xe7\xdc\x3a\x42\x21\xde\x23\xeb\x7b" + , "\xaa\x05\xb9\x9d\x9f\xfa\x15\x33\x76\xf8\x57\x57\xa7\xa5\x35\x37\xb6\xde\x4d\xa4\x0c\x7e\xfd\xbf\xb1\x18\x05\x99\xdc\xd0\xce\x6a" + ) + , + ( 24 + , 0 + , 96 + , "\x37\x49\x2f\xd9\xbd\x45\xf8\x92\x3d\x91\x7c\x69\x6a\xef\xae\xd2" + , "\x2e\xa4\x70\xf5\xc1\x71\xdd\x63\x9b\x7e\xec\x37\x97\xbf\xb3\x07\xd2\x8a\xd1\x4b\xc9\xf0\xbd\xa2\xe9\xb1\xf2\x47\xee\x9f\x33\x59" + ) + , + ( 24 + , 0 + , 97 + , "\x94\x61\x1a\x75\xb0\x1f\x65\xa5\x80\xce\x0d\x60\x35\xe9\x11\x3c" + , "\x87\xfb\x52\x87\xcb\xba\xe9\x93\xd1\x58\x0e\x3c\x00\x13\xe5\x22\xc3\x4a\x2b\x5f\xd3\xd2\xfe\x88\xb9\x1e\x6f\x33\xe7\x30\xf4\x9a" + ) + , + ( 24 + , 0 + , 112 + , "\xc7\x4e\x6c\x7c\x40\x68\xec\x0c\xc9\x39\x65\x68\x2f\xcb\x2d\xf0" + , "\x41\x21\x02\x79\x9c\x39\xba\xd7\x69\x82\x43\x72\xe0\x0d\x58\x83\x0b\x8f\x20\x60\xfa\xd0\xdf\xdc\x1e\xa8\x82\xbc\xc4\x45\x15\x66" + ) + , + ( 24 + , 0 + , 159 + , "\xc1\x39\x4c\x2c\xd7\xa9\x24\x04\xab\x16\x5f\xa4\xed\xbe\x58\x63" + , "\xe5\x30\x31\x97\xf8\x41\x02\xc6\x01\x96\xa6\x07\x63\x03\x5c\x3a\x99\xd9\xcc\xe3\x7b\xe2\x79\x5e\x30\x5d\x3f\xde\xdd\x4a\xea\xc4" + ) + , + ( 24 + , 0 + , 160 + , "\xae\xf5\x38\xe8\xd5\x76\xe4\xc9\x41\x12\xb9\x7f\x1b\xeb\x61\xf7" + , "\x06\xc3\x15\x57\x3b\x25\xd1\x46\x44\x50\x90\xac\xd0\xe9\x3f\xc1\xbe\x70\x87\x81\x50\x24\xfe\xc1\x74\xa2\xb2\x56\xdf\x70\x56\x5c" + ) + , + ( 24 + , 0 + , 191 + , "\xd7\x76\x00\x3f\x3b\x10\x8d\x9a\xe0\xdf\x75\x7a\x8e\x67\x8f\xb9" + , "\x8a\xa2\xdc\x1a\xaf\x64\x4d\x50\xab\x7a\xce\x06\x88\x81\x8d\x8f\x51\xf3\x50\xe1\x6a\xdc\x22\xd5\x6c\x4b\xde\x65\xe0\x02\xa4\x33" + ) + , + ( 24 + , 0 + , 192 + , "\x2f\x2a\x65\xc9\x66\x26\xe0\x86\x1d\xf7\x0d\xc3\x70\x26\xfa\xc7" + , "\x35\xeb\xd6\xe5\xb4\x71\x04\x81\xc4\xcb\xc3\x19\xb1\x4e\x66\xe1\x3b\xf4\xeb\xc5\x89\x47\xff\xc6\xe2\xba\x86\x90\x65\x64\xc4\x18" + ) + , + ( 24 + , 0 + , 287 + , "\x4d\xfa\xff\xd1\xef\x7a\x7d\x38\xb5\x79\xf1\xe4\x50\x5b\xc3\xfa" + , "\xa2\xab\x3f\xb9\x12\x71\x69\xf1\xc8\xd3\x57\x32\x28\x0f\x16\x37\x67\xdf\x3c\x72\x8d\x1d\xc9\x83\x5f\x73\x19\xca\x3f\x4d\x09\xe3" + ) + , + ( 24 + , 0 + , 288 + , "\x0f\xfc\x69\xc3\x34\x22\x07\x45\xfc\x17\x85\x08\xf2\x5c\x09\xa2" + , "\xac\x5f\x41\x3a\xf8\xee\x4d\xb9\x32\xc5\x93\x98\x8b\xc1\xae\x2e\x01\x0b\x03\x1f\xdf\x2c\x64\x25\xf7\x23\x02\x38\x22\xe1\x6e\xfe" + ) + , + ( 24 + , 0 + , 289 + , "\xcb\xc8\x53\x8f\x9e\x35\xf5\x09\xc3\xc4\x9d\x02\x57\xfc\x92\x70" + , "\x87\x8a\x09\x45\xdd\x6b\xff\xc0\xe0\x35\x90\x04\x39\xba\x1b\xf3\xa2\xf0\x8e\x33\x42\x25\x01\x94\x32\xec\x98\x98\xaa\x52\xe0\x01" + ) + , + ( 24 + , 0 + , 304 + , "\x24\x22\x57\xcc\x04\x75\xe0\x03\xd6\x27\xea\xbd\xe9\x9b\xdf\xd4" + , "\x74\x2a\x92\x83\x4c\x30\x1c\x6a\xe4\x86\xbc\x6d\x2b\x06\xfc\x44\x6c\x4c\x3e\x8a\x40\xb4\x75\xee\xbc\xde\x23\xb1\x81\x3f\xe4\x5d" + ) + , + ( 24 + , 0 + , 383 + , "\xb8\x0f\x07\x13\xf1\x56\x88\xa6\x19\xa3\xb7\x9a\xa0\x04\x5c\x10" + , "\xe9\x6d\x7c\x77\x8d\xb2\xc5\x46\x58\x61\xb2\x8c\x91\xe9\xf8\x51\x5b\xdf\xd1\x60\x9d\x7b\x53\x82\xd0\x93\xac\x7e\x99\xf0\x76\x85" + ) + , + ( 24 + , 0 + , 384 + , "\xd0\x2c\x80\x49\x2d\x59\xbf\x70\xe0\x2b\x15\x2a\xd1\xa9\xc8\x4a" + , "\xf1\x56\x3c\x1f\x6f\x66\xa0\x20\xe3\xbc\xe2\x0b\xd6\x84\xd1\xe8\xca\xb3\xde\x9c\xb2\xfb\xeb\x12\x50\x9e\x00\x7d\x65\x3c\xbc\xdf" + ) + , + ( 24 + , 0 + , 385 + , "\xbd\x25\xd2\xde\x68\xde\x95\xee\x2f\xaa\x33\xf3\x15\xf0\x80\xf2" + , "\x29\x52\x4a\xb6\x53\xb5\x5e\x79\xf5\xb3\x0d\x26\xf7\x4b\xa9\xa6\x91\xd7\xda\xd6\x44\xd4\x91\x0b\x5f\x31\xd0\x68\xfa\x80\x0e\x61" + ) + , + ( 24 + , 0 + , 480 + , "\x57\x1d\xc8\x25\x4e\xb6\x05\x4a\xa0\x72\x97\x82\x63\x66\xe1\xb2" + , "\x06\x26\x73\x50\x9a\x02\x1b\xeb\x8c\x0c\x91\x8e\x9d\xc8\xfe\x2e\xf5\x0f\xfc\x14\xf8\x85\xa2\xd5\xde\xc3\xa4\x92\x60\x2b\xc5\x74" + ) + , + ( 24 + , 0 + , 576 + , "\x26\x24\x08\xa8\x37\x64\xb1\x10\xf8\xdd\xd7\x7c\x8d\x6c\xff\x1f" + , "\x6d\x6a\x95\xc9\xef\xb7\x58\xfe\xf3\x20\xc5\x6c\x9c\x18\xf8\x37\x29\x96\xed\xc6\xa8\xac\x63\x42\xce\xc4\x5d\xf4\xe9\x66\xaa\x50" + ) + , + ( 24 + , 0 + , 1023 + , "\xd7\x2c\xff\x00\xc9\x7a\x62\x4f\x17\xea\x4f\x8a\xcc\x3d\x37\xc7" + , "\x59\x73\x52\x3c\x98\x5c\x8c\xd0\xff\x86\x73\x52\x6a\xce\xa9\xba\x1a\x6f\xd2\x99\x00\xd5\xcb\x6d\xb3\x29\x5d\x40\xad\xe4\x30\x63" + ) + , + ( 24 + , 0 + , 1024 + , "\xba\x02\xe9\xb9\x06\x78\xd4\x85\x1f\xdf\x6d\x84\x06\x10\xe6\xc0" + , "\xb7\xcb\x38\xbe\xc7\x5a\x07\x7f\x49\x5d\xbd\x3b\xdd\xfe\x0f\x74\xe9\x58\x3b\x69\x8f\x0a\xed\xc4\x2a\x8b\x9e\x69\x8d\xc1\x35\xec" + ) + , + ( 24 + , 0 + , 1025 + , "\x2e\xb4\x24\xa2\x19\x2c\x65\x62\x10\xaf\x17\x86\xf5\xc5\x9d\xbf" + , "\xe9\x00\xd8\x3e\x27\x37\xbe\xc8\x37\x67\xe1\x0e\x56\xf2\x64\x7e\xa8\xd3\x0b\x1a\x5b\x2a\xc5\xb3\x9f\x96\x11\x2a\x0c\xd7\x6d\xca" + ) + , + ( 24 + , 0 + , 4099 + , "\x52\x69\x7a\xa8\x59\x50\x2a\xb5\x57\x43\x1f\xdb\x5b\xe8\xcf\x68" + , "\x32\x46\x97\xc8\x6d\xe2\x6f\x89\x4e\xe0\x93\xd4\x3a\xd0\x80\xbf\x76\x1c\xa0\xd1\xd1\x5e\xb5\x69\x38\xb0\xae\x06\xf3\x0b\x58\xb7" + ) + , + ( 24 + , 20 + , 0 + , "\xe0\xa2\x25\x4c\x39\x7e\xbb\xe0\x2c\x66\x72\xe1\xb4\xe6\x3a\xac" + , "\xe3\xb0\xc4\x42\x98\xfc\x1c\x14\x9a\xfb\xf4\xc8\x99\x6f\xb9\x24\x27\xae\x41\xe4\x64\x9b\x93\x4c\xa4\x95\x99\x1b\x78\x52\xb8\x55" + ) + , + ( 24 + , 20 + , 1 + , "\xb7\x6a\x1c\xcf\x2b\x91\xfb\x80\xf0\x42\x3a\x80\xbc\x7a\xb2\x14" + , "\x65\xc7\x4c\x15\xa6\x86\x18\x7b\xb6\xbb\xf9\x95\x8f\x49\x4f\xc6\xb8\x00\x68\x03\x4a\x65\x9a\x9a\xd4\x49\x91\xb0\x8c\x58\xf2\xd2" + ) + , + ( 24 + , 20 + , 15 + , "\x4e\x46\xd3\xa2\xd4\xfa\x17\x80\xe4\xfe\x99\xef\x3e\xf7\xba\x9b" + , "\xd9\x1f\x32\x05\x01\xb1\xb6\xd1\xf7\x18\x68\xbe\x66\x57\x31\xa9\xa2\x04\x8a\xbe\xf3\xaf\xf4\x56\x78\xb6\x79\xee\xb3\x49\xae\xf9" + ) + , + ( 24 + , 20 + , 16 + , "\x55\xdd\xec\x5d\xa4\x01\xea\x06\x3a\xb6\xaf\x73\xd7\x93\x78\xfc" + , "\x46\x9f\xd3\x7f\x52\x32\x1f\xd3\x01\xfe\x91\x3f\xa5\xb0\xec\xfe\xf8\x29\x25\x2e\x54\x08\xe1\xe8\x9b\x28\x1d\xba\xe4\x6b\x0d\x5e" + ) + , + ( 24 + , 20 + , 17 + , "\xda\x17\xad\xe5\xb6\x78\x02\x7f\xd8\x84\x1b\x0a\x9d\x63\x93\xd8" + , "\xed\xcf\x38\x1d\x7b\x81\xb9\x0e\xf0\x70\x40\xe4\x32\x20\x9b\x63\x83\x2f\x64\x3a\x21\x63\xb3\x13\x10\x2a\x27\x48\xca\xd9\x46\xf1" + ) + , + ( 24 + , 20 + , 95 + , "\x4e\xff\xd3\x66\x1b\xa8\x92\x22\x92\xf8\x95\x72\xed\xb8\x55\xee" + , "\xaa\x05\xb9\x9d\x9f\xfa\x15\x33\x76\xf8\x57\x57\xa7\xa5\x35\x37\xb6\xde\x4d\xa4\x0c\x7e\xfd\xbf\xb1\x18\x05\x99\xdc\xd0\xce\x6a" + ) + , + ( 24 + , 20 + , 96 + , "\x75\xf2\xeb\xae\xd2\x88\x25\x57\x73\x53\xab\x3a\x59\x74\x10\x47" + , "\x2e\xa4\x70\xf5\xc1\x71\xdd\x63\x9b\x7e\xec\x37\x97\xbf\xb3\x07\xd2\x8a\xd1\x4b\xc9\xf0\xbd\xa2\xe9\xb1\xf2\x47\xee\x9f\x33\x59" + ) + , + ( 24 + , 20 + , 97 + , "\x2d\xd5\x1a\xd4\x39\x81\xe0\xec\x05\xc2\x4d\x5b\xea\xda\xc7\x28" + , "\x87\xfb\x52\x87\xcb\xba\xe9\x93\xd1\x58\x0e\x3c\x00\x13\xe5\x22\xc3\x4a\x2b\x5f\xd3\xd2\xfe\x88\xb9\x1e\x6f\x33\xe7\x30\xf4\x9a" + ) + , + ( 24 + , 20 + , 112 + , "\x7e\xfa\x6c\xdd\xc9\xf6\x69\x45\x4c\x35\x25\x53\xf0\xf8\xfb\xe4" + , "\x41\x21\x02\x79\x9c\x39\xba\xd7\x69\x82\x43\x72\xe0\x0d\x58\x83\x0b\x8f\x20\x60\xfa\xd0\xdf\xdc\x1e\xa8\x82\xbc\xc4\x45\x15\x66" + ) + , + ( 24 + , 20 + , 159 + , "\x1b\x6d\x91\x8b\x64\x0f\xd0\xb2\xb1\xe1\xef\xa2\xad\xab\xf5\x8c" + , "\xe5\x30\x31\x97\xf8\x41\x02\xc6\x01\x96\xa6\x07\x63\x03\x5c\x3a\x99\xd9\xcc\xe3\x7b\xe2\x79\x5e\x30\x5d\x3f\xde\xdd\x4a\xea\xc4" + ) + , + ( 24 + , 20 + , 160 + , "\x74\xa1\xe5\x4f\x66\xd0\x10\x7f\x5b\xe5\x09\x79\x5b\xfe\xcc\x18" + , "\x06\xc3\x15\x57\x3b\x25\xd1\x46\x44\x50\x90\xac\xd0\xe9\x3f\xc1\xbe\x70\x87\x81\x50\x24\xfe\xc1\x74\xa2\xb2\x56\xdf\x70\x56\x5c" + ) + , + ( 24 + , 20 + , 191 + , "\xaa\x66\x04\x97\xba\x14\x6f\xd4\xf1\xf4\xdf\x59\xc0\x51\x68\xf2" + , "\x8a\xa2\xdc\x1a\xaf\x64\x4d\x50\xab\x7a\xce\x06\x88\x81\x8d\x8f\x51\xf3\x50\xe1\x6a\xdc\x22\xd5\x6c\x4b\xde\x65\xe0\x02\xa4\x33" + ) + , + ( 24 + , 20 + , 192 + , "\x52\x3a\x61\x61\xe7\x22\x02\xc8\x0c\xdc\xa7\xe0\x3e\x10\x1d\x8c" + , "\x35\xeb\xd6\xe5\xb4\x71\x04\x81\xc4\xcb\xc3\x19\xb1\x4e\x66\xe1\x3b\xf4\xeb\xc5\x89\x47\xff\xc6\xe2\xba\x86\x90\x65\x64\xc4\x18" + ) + , + ( 24 + , 20 + , 287 + , "\x67\x5b\x82\x18\xe9\x49\xda\x5f\x0d\x61\x73\x51\x23\x5b\xd7\xde" + , "\xa2\xab\x3f\xb9\x12\x71\x69\xf1\xc8\xd3\x57\x32\x28\x0f\x16\x37\x67\xdf\x3c\x72\x8d\x1d\xc9\x83\x5f\x73\x19\xca\x3f\x4d\x09\xe3" + ) + , + ( 24 + , 20 + , 288 + , "\x25\x5d\x14\x0a\x32\x11\xa0\x22\x44\x0f\x07\xbd\x81\x5c\x1d\x86" + , "\xac\x5f\x41\x3a\xf8\xee\x4d\xb9\x32\xc5\x93\x98\x8b\xc1\xae\x2e\x01\x0b\x03\x1f\xdf\x2c\x64\x25\xf7\x23\x02\x38\x22\xe1\x6e\xfe" + ) + , + ( 24 + , 20 + , 289 + , "\xd3\xd3\x52\x46\x22\x31\xff\x27\xcc\x5c\x7d\xcc\x41\xae\x4a\xcd" + , "\x87\x8a\x09\x45\xdd\x6b\xff\xc0\xe0\x35\x90\x04\x39\xba\x1b\xf3\xa2\xf0\x8e\x33\x42\x25\x01\x94\x32\xec\x98\x98\xaa\x52\xe0\x01" + ) + , + ( 24 + , 20 + , 304 + , "\x3c\x39\x56\x05\xb8\x71\xea\x2d\xd9\xbf\x0a\x73\xff\xc9\x07\x69" + , "\x74\x2a\x92\x83\x4c\x30\x1c\x6a\xe4\x86\xbc\x6d\x2b\x06\xfc\x44\x6c\x4c\x3e\x8a\x40\xb4\x75\xee\xbc\xde\x23\xb1\x81\x3f\xe4\x5d" + ) + , + ( 24 + , 20 + , 383 + , "\xae\xd0\x96\xb8\x91\x86\xea\xca\xa2\x82\x17\xee\xdc\x1e\x7b\x26" + , "\xe9\x6d\x7c\x77\x8d\xb2\xc5\x46\x58\x61\xb2\x8c\x91\xe9\xf8\x51\x5b\xdf\xd1\x60\x9d\x7b\x53\x82\xd0\x93\xac\x7e\x99\xf0\x76\x85" + ) + , + ( 24 + , 20 + , 384 + , "\xc6\xf3\x11\xe2\x4d\x89\xdd\x1c\x5b\x0a\xb5\x5e\xad\xb3\xef\x7c" + , "\xf1\x56\x3c\x1f\x6f\x66\xa0\x20\xe3\xbc\xe2\x0b\xd6\x84\xd1\xe8\xca\xb3\xde\x9c\xb2\xfb\xeb\x12\x50\x9e\x00\x7d\x65\x3c\xbc\xdf" + ) + , + ( 24 + , 20 + , 385 + , "\xfa\x94\xce\xc6\x97\x91\xa9\x80\x15\x59\x28\xea\xe6\xdf\xe3\xd4" + , "\x29\x52\x4a\xb6\x53\xb5\x5e\x79\xf5\xb3\x0d\x26\xf7\x4b\xa9\xa6\x91\xd7\xda\xd6\x44\xd4\x91\x0b\x5f\x31\xd0\x68\xfa\x80\x0e\x61" + ) + , + ( 24 + , 20 + , 480 + , "\x13\x29\x88\xa0\x26\x7d\x2b\x23\xa8\x6c\xf3\xb4\x09\xa3\x0b\xef" + , "\x06\x26\x73\x50\x9a\x02\x1b\xeb\x8c\x0c\x91\x8e\x9d\xc8\xfe\x2e\xf5\x0f\xfc\x14\xf8\x85\xa2\xd5\xde\xc3\xa4\x92\x60\x2b\xc5\x74" + ) + , + ( 24 + , 20 + , 576 + , "\x2f\x00\x96\x82\x57\xc1\xfc\x88\xe0\x91\x30\x5b\x70\xba\x20\x9a" + , "\x6d\x6a\x95\xc9\xef\xb7\x58\xfe\xf3\x20\xc5\x6c\x9c\x18\xf8\x37\x29\x96\xed\xc6\xa8\xac\x63\x42\xce\xc4\x5d\xf4\xe9\x66\xaa\x50" + ) + , + ( 24 + , 20 + , 1023 + , "\x2a\x08\x3e\x74\x74\xf9\x58\x5b\x19\xd4\x24\x9e\xfe\x05\x63\x39" + , "\x59\x73\x52\x3c\x98\x5c\x8c\xd0\xff\x86\x73\x52\x6a\xce\xa9\xba\x1a\x6f\xd2\x99\x00\xd5\xcb\x6d\xb3\x29\x5d\x40\xad\xe4\x30\x63" + ) + , + ( 24 + , 20 + , 1024 + , "\x47\x26\x28\xcd\xbb\xfb\xee\x91\x11\xe1\x06\x90\x34\x28\xb2\x3e" + , "\xb7\xcb\x38\xbe\xc7\x5a\x07\x7f\x49\x5d\xbd\x3b\xdd\xfe\x0f\x74\xe9\x58\x3b\x69\x8f\x0a\xed\xc4\x2a\x8b\x9e\x69\x8d\xc1\x35\xec" + ) + , + ( 24 + , 20 + , 1025 + , "\xc8\x2a\xd6\x14\xfd\xfa\xae\x3b\x0f\x3c\xb7\xf7\x41\x3e\xf2\x62" + , "\xe9\x00\xd8\x3e\x27\x37\xbe\xc8\x37\x67\xe1\x0e\x56\xf2\x64\x7e\xa8\xd3\x0b\x1a\x5b\x2a\xc5\xb3\x9f\x96\x11\x2a\x0c\xd7\x6d\xca" + ) + , + ( 24 + , 20 + , 4099 + , "\x9e\x5b\x7c\xc7\xf3\xdc\x07\x4f\x8c\x71\xaa\xf4\x64\x6b\xe9\x57" + , "\x32\x46\x97\xc8\x6d\xe2\x6f\x89\x4e\xe0\x93\xd4\x3a\xd0\x80\xbf\x76\x1c\xa0\xd1\xd1\x5e\xb5\x69\x38\xb0\xae\x06\xf3\x0b\x58\xb7" + ) + , + ( 32 + , 0 + , 0 + , "\xb5\xc4\xd9\x83\x2d\x9d\x6e\xef\x47\xaf\xb7\xaf\x4b\x0b\x0e\xc0" + , "\xe3\xb0\xc4\x42\x98\xfc\x1c\x14\x9a\xfb\xf4\xc8\x99\x6f\xb9\x24\x27\xae\x41\xe4\x64\x9b\x93\x4c\xa4\x95\x99\x1b\x78\x52\xb8\x55" + ) + , + ( 32 + , 0 + , 1 + , "\xc2\xd0\x6f\x2a\x01\x8b\xce\x09\xa9\xac\xb1\xe7\x53\xc3\x89\x7f" + , "\x01\xba\x47\x19\xc8\x0b\x6f\xe9\x11\xb0\x91\xa7\xc0\x51\x24\xb6\x4e\xee\xce\x96\x4e\x09\xc0\x58\xef\x8f\x98\x05\xda\xca\x54\x6b" + ) + , + ( 32 + , 0 + , 15 + , "\xc6\xea\xfc\xe0\xc8\x78\x79\xfc\xa2\xd7\xe4\xc7\x0c\xcb\x6d\xbb" + , "\xb3\xcd\xe8\x23\xf3\xf5\xb3\xa9\x2e\x3d\xe2\x2f\xc6\xd6\x3a\x7f\xf2\x0b\x61\xfe\x89\xd7\x34\xd4\xb1\x24\xb8\x42\x50\x63\xc5\xf5" + ) + , + ( 32 + , 0 + , 16 + , "\xa0\xf8\x35\x8c\x3e\xac\xd1\xcb\xab\x1f\xe1\x4a\x74\xb1\x37\xa3" + , "\x9b\x8e\x57\x27\x94\x78\xbe\xbc\x9b\xb8\x79\xd1\xf8\xf4\x32\x45\x60\xa4\x1e\xf2\xae\x6d\x06\x33\x2f\x6d\xd7\x28\x14\x19\x12\x53" + ) + , + ( 32 + , 0 + , 17 + , "\x6f\xc5\x38\x71\x9a\xdd\x1a\xc9\x63\x82\x7c\x32\x02\x4a\x32\x77" + , "\x00\x56\xd7\x84\x80\xe4\x6a\x70\xbb\xee\xb2\xf3\xe4\x7e\x2c\x32\x9c\xa1\xba\xb6\xb0\x45\x04\x34\x86\xca\xf8\xe7\x1f\x18\xd0\x8b" + ) + , + ( 32 + , 0 + , 95 + , "\x52\x3a\xd6\xf4\x0b\x01\xe1\xfd\x01\xb9\xb0\xfa\x38\xc4\xb4\x03" + , "\x1f\x84\x11\xd8\xcb\x11\x28\x70\x33\x0f\x63\x73\xcd\x70\xf4\xa5\x6d\xd4\x53\x57\x25\x96\xb1\x42\x78\xb4\x54\xde\x0b\x37\x4a\x03" + ) + , + ( 32 + , 0 + , 96 + , "\xad\x90\x66\x28\xb1\xbb\x7d\x91\x63\x9d\x87\xc8\x04\x10\xb3\x1f" + , "\x4c\xad\x61\x9d\x98\x48\xc5\xbc\x0d\x3c\xe1\x5d\xaf\x01\x6a\x70\x85\xe0\xc9\x40\x9e\xb9\x07\xb9\x96\x2b\x26\x46\x11\xae\x9f\x32" + ) + , + ( 32 + , 0 + , 97 + , "\xa2\xbf\x4c\x3a\x0b\x45\x8c\x92\x68\x6c\x69\x98\x04\x56\xcc\x9d" + , "\x5e\x52\xc6\x8b\x0c\xac\xd6\x4b\xaf\x46\x8c\x96\xe5\xc3\x9a\xaa\x5e\x45\x1e\x22\xc0\x09\xb9\x72\x06\x33\xc2\xab\x18\x0d\x03\x85" + ) + , + ( 32 + , 0 + , 112 + , "\xad\x3e\x50\x9b\x71\x98\x5d\x9f\xe2\x54\x73\x5f\x8d\xa0\x27\xbf" + , "\x70\xad\x3d\xad\x9a\x1e\xc4\x5c\x3c\xea\xe1\x95\x15\xb8\x19\xd2\x83\xbd\x01\x62\xe5\xb7\x42\xd8\x45\xdd\xbe\x51\xc9\xca\x85\x0c" + ) + , + ( 32 + , 0 + , 159 + , "\x9e\xcb\xa1\x29\x19\x43\x66\x2f\xd1\x3a\xf5\x71\xfb\x02\x96\x3b" + , "\xf8\x6d\xd2\x2a\x72\x18\x2d\xde\x32\xa6\x77\xd9\xbd\x0f\x8f\x07\x32\x68\x00\xa9\xd2\x9c\x2b\x52\x91\x7a\x37\x0f\xe4\xae\x1f\xc7" + ) + , + ( 32 + , 0 + , 160 + , "\x8c\xf8\xc8\xc8\x92\xc6\x56\x45\xeb\x05\x5d\xd4\xc2\x78\x1c\xed" + , "\x90\xd2\xe7\xf0\x9c\x18\xcd\x98\xb9\x92\xdd\xc2\x02\xd6\x23\x9c\x31\xab\x14\x7d\x32\x38\x0f\x97\x87\x3a\xec\x2a\x59\x2a\x70\x1f" + ) + , + ( 32 + , 0 + , 191 + , "\xc8\xe7\xa5\xcf\x44\xf6\xd9\x81\xa2\x82\x54\x7e\x16\x7f\xe5\x4e" + , "\xc7\x39\xa4\xd7\x2f\xe5\x4b\x57\x24\x42\x56\xdf\xc7\x59\x74\x93\x70\x2c\x8a\xea\x19\xe6\x27\x66\xe4\x03\x74\xc2\x29\x23\x72\x2b" + ) + , + ( 32 + , 0 + , 192 + , "\x52\xdd\x33\x17\xb8\x66\x97\x63\x79\x17\x21\x59\xee\xdf\x2a\x4f" + , "\x5c\xdf\x56\xa2\xe4\xe5\x00\xf5\xbe\xce\x4c\x9f\x69\xed\x5d\x6d\x71\x5f\x6d\x96\x16\x5c\x55\x3c\xc1\x2f\xe3\x86\x11\x9d\x8e\x26" + ) + , + ( 32 + , 0 + , 287 + , "\xe7\x5a\x6f\x25\x4f\x39\xde\xe0\x43\x49\xb0\x5c\x66\x94\x1e\x70" + , "\xa4\xd8\x0b\x4a\x6a\xc9\xf1\xed\x0d\x47\x1d\x4b\xd9\x7d\xc6\x3d\xae\xcf\x2a\x57\x9b\xeb\xab\x95\x61\x70\x22\x4b\xa7\x58\x28\x71" + ) + , + ( 32 + , 0 + , 288 + , "\x19\x9e\xdd\xe6\xb1\xcf\xb9\xb7\x40\x45\xd2\x7b\xa2\xe8\xe8\x92" + , "\xc4\xf5\x66\x65\x76\xfd\x49\x60\xee\xe9\x1f\xde\x3f\x36\x99\xd8\x5b\xcb\xf9\x4e\xbc\xb8\x31\xb6\xcb\x9e\x7e\x48\x68\xb5\xcb\xed" + ) + , + ( 32 + , 0 + , 289 + , "\x24\x58\x17\x9c\x3c\xf2\x9e\x1c\xfe\xc3\x6c\xf5\x98\xc8\xb4\x2b" + , "\xaa\xca\xe3\xe9\x0c\x7d\xf6\x3f\xc8\x8a\x45\x43\xd1\x69\xac\x5a\xe7\x43\x41\x77\x3c\x33\xf8\x86\xc8\x0c\xdb\x87\x55\x1d\xb2\x94" + ) + , + ( 32 + , 0 + , 304 + , "\x26\x10\xbb\xaa\x1c\xe1\xcd\x5e\x9c\x1a\xe9\xbf\x7d\xda\xdb\xf4" + , "\x63\x92\x47\x6e\x1e\x12\x07\x26\xe6\xfb\x9c\x33\x9d\xc4\xfd\x6c\x94\xd3\x6f\xbd\xa0\x78\x5a\xad\xdf\x05\xa9\x80\xde\xc3\x4b\x1e" + ) + , + ( 32 + , 0 + , 383 + , "\xa3\x47\x90\x62\xb2\x99\x1c\x0f\x0a\x84\x67\x39\x52\x18\x12\x98" + , "\xc4\xe4\x1d\x5d\xd2\x06\x56\x59\x77\x14\x57\x08\x71\x87\xd1\x92\x89\x83\x34\x11\xfa\x00\x24\x79\x11\x8d\x27\x49\x8b\xa7\xb7\xc0" + ) + , + ( 32 + , 0 + , 384 + , "\x15\x2c\x07\x92\x66\x14\x33\x6d\x77\x32\x7a\x60\x87\xfd\x7a\x4c" + , "\x96\x9a\x67\xf1\xb6\xb2\x25\x6a\x72\xd6\x51\xd7\xe7\x72\xe9\x2f\xe3\xf0\x04\x59\x05\x9c\xc0\x93\x12\x17\x39\x2b\xe7\x91\x35\x95" + ) + , + ( 32 + , 0 + , 385 + , "\x21\x39\xf9\x5e\x4c\x91\x46\x9b\x47\x3c\xfa\xcb\x2e\x30\x79\x61" + , "\x78\xa2\x0c\xc8\xee\xc4\x58\xed\x65\x2d\x22\xf7\xee\x40\x2e\x29\xbf\x53\x48\x7f\xa2\xea\x6b\xa6\xd9\x6c\x6a\xc5\x1a\x7d\xe1\xcc" + ) + , + ( 32 + , 0 + , 480 + , "\x51\x41\x4b\x4c\xb6\x29\x27\x8e\xab\xc9\x1b\xb0\xa0\x95\xb3\x58" + , "\x76\x69\x2c\x2b\xd3\x4f\x5d\xb6\x75\xb2\xe6\x25\x7b\x49\xd8\x19\x56\x9d\xc8\x59\xd8\x91\xa6\x00\x37\x92\x50\x78\xac\x7b\x77\x3f" + ) + , + ( 32 + , 0 + , 576 + , "\x56\x6e\x52\x8a\xfd\x1e\xa3\x38\x02\x9f\xbb\xb8\x00\x5d\x28\xe0" + , "\x89\xa0\x91\x43\x01\x0b\xf7\x98\x88\x48\x53\x0b\x72\x0a\xd5\x1f\x47\xfa\x6c\x5c\xb4\xd5\x21\xff\x40\xff\xcd\xe1\x3c\x91\x5c\xaf" + ) + , + ( 32 + , 0 + , 1023 + , "\x56\xb6\x10\xc2\x6a\xb1\xe4\xac\xeb\xa8\xd8\x64\x8f\xfd\x2c\xd0" + , "\x0c\x76\xaf\x87\x66\xcc\x2f\xe0\xcc\x8b\x89\x78\x34\xf2\xc3\x5e\x58\x7f\x13\x06\x33\x48\xca\xd9\x8e\x2b\x31\xf5\x90\x57\x14\xaf" + ) + , + ( 32 + , 0 + , 1024 + , "\x0c\x13\x10\xfa\x4a\xc1\xe1\x44\x06\x61\x8c\x76\xb7\x16\xee\xaa" + , "\x3f\x94\xb6\xd1\xbd\x12\xc6\xe2\xcf\xfc\x08\xd3\x1e\x49\xb0\x82\x6d\xd5\xb8\x17\x1e\xf4\x77\x26\xbf\x1e\x4c\x92\x7e\x6a\xf9\x9d" + ) + , + ( 32 + , 0 + , 1025 + , "\xf1\x2f\xd0\xe5\xe6\x80\x27\x57\x54\xca\x7d\xc3\x0b\x55\x1b\x5f" + , "\x8f\x11\x28\xff\xee\x67\xc7\x29\xb5\x83\x64\x53\x7e\x90\x07\x58\xe3\x7b\x33\xbe\xf5\x60\xfb\x89\x57\xfc\x9c\xea\xbd\x3c\x46\x9e" + ) + , + ( 32 + , 0 + , 4099 + , "\x1a\x12\x1e\x32\xbf\xe4\x3c\xcd\xd5\x10\x72\x5c\x34\xdd\xd4\x80" + , "\xbd\x20\x02\x9b\x6c\xd4\x69\xdd\x67\x25\x9e\xaf\x27\xac\x84\x99\xeb\x57\x51\x59\x54\x88\x56\x85\x73\xee\xc3\x37\x94\xd2\xf8\x4d" + ) + , + ( 32 + , 20 + , 0 + , "\xbe\x05\xa0\xc2\x96\x98\xbe\x3d\xf3\xb8\x08\x22\x52\x98\x1d\x54" + , "\xe3\xb0\xc4\x42\x98\xfc\x1c\x14\x9a\xfb\xf4\xc8\x99\x6f\xb9\x24\x27\xae\x41\xe4\x64\x9b\x93\x4c\xa4\x95\x99\x1b\x78\x52\xb8\x55" + ) + , + ( 32 + , 20 + , 1 + , "\x3b\x22\x82\x62\x05\x1b\xfa\x69\x13\x7f\x18\x3f\xe5\x87\x3f\xf4" + , "\x01\xba\x47\x19\xc8\x0b\x6f\xe9\x11\xb0\x91\xa7\xc0\x51\x24\xb6\x4e\xee\xce\x96\x4e\x09\xc0\x58\xef\x8f\x98\x05\xda\xca\x54\x6b" + ) + , + ( 32 + , 20 + , 15 + , "\x3f\x18\x11\xa8\xcc\xe8\x4d\x9c\x18\x04\x4d\x1f\xba\x8f\xdb\x30" + , "\xb3\xcd\xe8\x23\xf3\xf5\xb3\xa9\x2e\x3d\xe2\x2f\xc6\xd6\x3a\x7f\xf2\x0b\x61\xfe\x89\xd7\x34\xd4\xb1\x24\xb8\x42\x50\x63\xc5\xf5" + ) + , + ( 32 + , 20 + , 16 + , "\x59\x0a\xd8\xc4\x3a\x3c\xe5\xab\x11\xcc\x48\x92\xc2\xf5\x81\x28" + , "\x9b\x8e\x57\x27\x94\x78\xbe\xbc\x9b\xb8\x79\xd1\xf8\xf4\x32\x45\x60\xa4\x1e\xf2\xae\x6d\x06\x33\x2f\x6d\xd7\x28\x14\x19\x12\x53" + ) + , + ( 32 + , 20 + , 17 + , "\x39\xe8\xcc\x85\x85\x90\x88\x3e\x1b\x84\xcf\xbc\x72\xfc\xe1\xca" + , "\x00\x56\xd7\x84\x80\xe4\x6a\x70\xbb\xee\xb2\xf3\xe4\x7e\x2c\x32\x9c\xa1\xba\xb6\xb0\x45\x04\x34\x86\xca\xf8\xe7\x1f\x18\xd0\x8b" + ) + , + ( 32 + , 20 + , 95 + , "\x0e\x30\xb3\x0b\x36\x3c\x2c\x08\xb1\x6a\xbf\xc5\xfc\x90\xcc\xe8" + , "\x1f\x84\x11\xd8\xcb\x11\x28\x70\x33\x0f\x63\x73\xcd\x70\xf4\xa5\x6d\xd4\x53\x57\x25\x96\xb1\x42\x78\xb4\x54\xde\x0b\x37\x4a\x03" + ) + , + ( 32 + , 20 + , 96 + , "\xf1\x9a\x03\xd7\x8c\x86\xb0\x64\xd3\x4e\x88\xf7\xc0\x44\xcb\xf4" + , "\x4c\xad\x61\x9d\x98\x48\xc5\xbc\x0d\x3c\xe1\x5d\xaf\x01\x6a\x70\x85\xe0\xc9\x40\x9e\xb9\x07\xb9\x96\x2b\x26\x46\x11\xae\x9f\x32" + ) + , + ( 32 + , 20 + , 97 + , "\xce\xa0\xd8\xdc\x79\x73\x12\x68\x77\xe6\x40\xdb\x24\x48\x1d\x47" + , "\x5e\x52\xc6\x8b\x0c\xac\xd6\x4b\xaf\x46\x8c\x96\xe5\xc3\x9a\xaa\x5e\x45\x1e\x22\xc0\x09\xb9\x72\x06\x33\xc2\xab\x18\x0d\x03\x85" + ) + , + ( 32 + , 20 + , 112 + , "\xc1\x21\xc4\x7d\x03\xae\xc3\x65\xfd\xde\x5a\x1c\xad\xbe\xf6\x65" + , "\x70\xad\x3d\xad\x9a\x1e\xc4\x5c\x3c\xea\xe1\x95\x15\xb8\x19\xd2\x83\xbd\x01\x62\xe5\xb7\x42\xd8\x45\xdd\xbe\x51\xc9\xca\x85\x0c" + ) + , + ( 32 + , 20 + , 159 + , "\x9b\x6e\xa6\x70\xe7\x96\x66\xe2\x94\x23\xe0\xa6\x2b\xbd\x1c\xb0" + , "\xf8\x6d\xd2\x2a\x72\x18\x2d\xde\x32\xa6\x77\xd9\xbd\x0f\x8f\x07\x32\x68\x00\xa9\xd2\x9c\x2b\x52\x91\x7a\x37\x0f\xe4\xae\x1f\xc7" + ) + , + ( 32 + , 20 + , 160 + , "\x89\x5d\xcf\x91\x6c\x13\x56\x88\xae\x1c\x48\x03\x12\xc7\x96\x66" + , "\x90\xd2\xe7\xf0\x9c\x18\xcd\x98\xb9\x92\xdd\xc2\x02\xd6\x23\x9c\x31\xab\x14\x7d\x32\x38\x0f\x97\x87\x3a\xec\x2a\x59\x2a\x70\x1f" + ) + , + ( 32 + , 20 + , 191 + , "\x06\xa9\x19\x90\xe9\x31\xe1\x3d\x5c\x84\xb4\x6d\xc9\x5a\xad\xdb" + , "\xc7\x39\xa4\xd7\x2f\xe5\x4b\x57\x24\x42\x56\xdf\xc7\x59\x74\x93\x70\x2c\x8a\xea\x19\xe6\x27\x66\xe4\x03\x74\xc2\x29\x23\x72\x2b" + ) + , + ( 32 + , 20 + , 192 + , "\x9c\x93\x8f\x48\x15\xa1\xaf\xdf\x87\x11\xc1\x4a\x31\xfa\x62\xda" + , "\x5c\xdf\x56\xa2\xe4\xe5\x00\xf5\xbe\xce\x4c\x9f\x69\xed\x5d\x6d\x71\x5f\x6d\x96\x16\x5c\x55\x3c\xc1\x2f\xe3\x86\x11\x9d\x8e\x26" + ) + , + ( 32 + , 20 + , 287 + , "\x0e\x81\xdc\x74\x57\xa6\xfc\x5a\x90\x59\x32\x82\x75\xfb\x6e\x37" + , "\xa4\xd8\x0b\x4a\x6a\xc9\xf1\xed\x0d\x47\x1d\x4b\xd9\x7d\xc6\x3d\xae\xcf\x2a\x57\x9b\xeb\xab\x95\x61\x70\x22\x4b\xa7\x58\x28\x71" + ) + , + ( 32 + , 20 + , 288 + , "\xf0\x45\x6e\xb7\xa9\x50\x9b\x0d\x93\x55\x50\xa5\xb1\x87\x98\xd5" + , "\xc4\xf5\x66\x65\x76\xfd\x49\x60\xee\xe9\x1f\xde\x3f\x36\x99\xd8\x5b\xcb\xf9\x4e\xbc\xb8\x31\xb6\xcb\x9e\x7e\x48\x68\xb5\xcb\xed" + ) + , + ( 32 + , 20 + , 289 + , "\xc0\x2b\xf5\xa1\x7f\xd0\x14\xc4\xe1\x81\x80\x63\x1f\x60\x06\x9d" + , "\xaa\xca\xe3\xe9\x0c\x7d\xf6\x3f\xc8\x8a\x45\x43\xd1\x69\xac\x5a\xe7\x43\x41\x77\x3c\x33\xf8\x86\xc8\x0c\xdb\x87\x55\x1d\xb2\x94" + ) + , + ( 32 + , 20 + , 304 + , "\xc2\x63\x59\x97\x5f\xc3\x47\x86\x83\x58\x05\x29\xfa\x72\x69\x42" + , "\x63\x92\x47\x6e\x1e\x12\x07\x26\xe6\xfb\x9c\x33\x9d\xc4\xfd\x6c\x94\xd3\x6f\xbd\xa0\x78\x5a\xad\xdf\x05\xa9\x80\xde\xc3\x4b\x1e" + ) + , + ( 32 + , 20 + , 383 + , "\xd8\x7a\x9c\x06\x53\xbb\xe3\x46\xd7\x84\xaa\x11\xd1\x01\x79\x65" + , "\xc4\xe4\x1d\x5d\xd2\x06\x56\x59\x77\x14\x57\x08\x71\x87\xd1\x92\x89\x83\x34\x11\xfa\x00\x24\x79\x11\x8d\x27\x49\x8b\xa7\xb7\xc0" + ) + , + ( 32 + , 20 + , 384 + , "\x6e\x11\x0b\xf6\x87\x36\xcc\x24\xaa\x32\xb7\x48\x04\xe4\x11\xb1" + , "\x96\x9a\x67\xf1\xb6\xb2\x25\x6a\x72\xd6\x51\xd7\xe7\x72\xe9\x2f\xe3\xf0\x04\x59\x05\x9c\xc0\x93\x12\x17\x39\x2b\xe7\x91\x35\x95" + ) + , + ( 32 + , 20 + , 385 + , "\xf2\xf6\x71\x5c\x6d\xad\xdb\xfa\xc5\x43\x5f\x71\x40\x13\xbe\xb4" + , "\x78\xa2\x0c\xc8\xee\xc4\x58\xed\x65\x2d\x22\xf7\xee\x40\x2e\x29\xbf\x53\x48\x7f\xa2\xea\x6b\xa6\xd9\x6c\x6a\xc5\x1a\x7d\xe1\xcc" + ) + , + ( 32 + , 20 + , 480 + , "\x9f\x29\xb2\x5b\xa9\x99\x2b\xdd\x34\x3a\x39\xc9\xb5\x15\x31\x3e" + , "\x76\x69\x2c\x2b\xd3\x4f\x5d\xb6\x75\xb2\xe6\x25\x7b\x49\xd8\x19\x56\x9d\xc8\x59\xd8\x91\xa6\x00\x37\x92\x50\x78\xac\x7b\x77\x3f" + ) + , + ( 32 + , 20 + , 576 + , "\x42\xfa\x24\x87\x53\xf4\xf6\xf9\x88\x61\x38\x77\x64\x66\x82\x2c" + , "\x89\xa0\x91\x43\x01\x0b\xf7\x98\x88\x48\x53\x0b\x72\x0a\xd5\x1f\x47\xfa\x6c\x5c\xb4\xd5\x21\xff\x40\xff\xcd\xe1\x3c\x91\x5c\xaf" + ) + , + ( 32 + , 20 + , 1023 + , "\x55\x79\xfd\xdf\x43\x31\xe2\xe2\x5e\x05\x18\xe4\xa6\x77\x05\x14" + , "\x0c\x76\xaf\x87\x66\xcc\x2f\xe0\xcc\x8b\x89\x78\x34\xf2\xc3\x5e\x58\x7f\x13\x06\x33\x48\xca\xd9\x8e\x2b\x31\xf5\x90\x57\x14\xaf" + ) + , + ( 32 + , 20 + , 1024 + , "\x0f\xdc\xfd\xe7\x63\x41\xe7\x0a\xb3\xcc\x4c\xf6\x9e\x9c\xc7\x6e" + , "\x3f\x94\xb6\xd1\xbd\x12\xc6\xe2\xcf\xfc\x08\xd3\x1e\x49\xb0\x82\x6d\xd5\xb8\x17\x1e\xf4\x77\x26\xbf\x1e\x4c\x92\x7e\x6a\xf9\x9d" + ) + , + ( 32 + , 20 + , 1025 + , "\xb2\x25\x27\x55\xb1\x57\x78\x93\x73\xa2\x65\x07\x88\x8d\x45\xa0" + , "\x8f\x11\x28\xff\xee\x67\xc7\x29\xb5\x83\x64\x53\x7e\x90\x07\x58\xe3\x7b\x33\xbe\xf5\x60\xfb\x89\x57\xfc\x9c\xea\xbd\x3c\x46\x9e" + ) + , + ( 32 + , 20 + , 4099 + , "\x0a\x93\x20\x79\x0c\x19\xe7\x51\x4b\x61\x4f\x5b\xd8\xf3\x67\x9a" + , "\xbd\x20\x02\x9b\x6c\xd4\x69\xdd\x67\x25\x9e\xaf\x27\xac\x84\x99\xeb\x57\x51\x59\x54\x88\x56\x85\x73\xee\xc3\x37\x94\xd2\xf8\x4d" + ) + ] diff --git a/tests/BlockCipher/AES/OCB3.hs b/tests/BlockCipher/AES/OCB3.hs new file mode 100644 --- /dev/null +++ b/tests/BlockCipher/AES/OCB3.hs @@ -0,0 +1,513 @@ +{-# LANGUAGE OverloadedStrings #-} + +module BlockCipher.AES.OCB3 where + +import qualified Data.ByteString as B +import Data.ByteString.Char8 () + +-- (key, iv, aad, input, out, taglen, tag) +type KATOCB3 = + ( B.ByteString + , B.ByteString + , B.ByteString + , B.ByteString + , B.ByteString + , Int + , B.ByteString + ) + +key1 = "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f" +nonce1 = "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b" +key2, nonce2 :: B.ByteString +key2 = "\x0f\x0e\x0d\x0c\x0b\x0a\x09\x08\x07\x06\x05\x04\x03\x02\x01\x00" +nonce2 = "\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x0d" +nonce_rfc7253_00 = "\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x00" +nonce_rfc7253_01 = "\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x01" +nonce_rfc7253_02 = "\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x02" +nonce_rfc7253_03 = "\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x03" +nonce_rfc7253_04 = "\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x04" +nonce_rfc7253_05 = "\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x05" +nonce_rfc7253_06 = "\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x06" +nonce_rfc7253_07 = "\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x07" +nonce_rfc7253_08 = "\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x08" +nonce_rfc7253_09 = "\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x09" +nonce_rfc7253_0a = "\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x0a" +nonce_rfc7253_0b = "\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x0b" +nonce_rfc7253_0c = "\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x0c" +nonce_rfc7253_0d = "\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x0d" +nonce_rfc7253_0e = "\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x0e" +nonce_rfc7253_0f = "\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x0f" +nonce_dkg_120_00 = "\xee\xdd\xcc\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x00" +nonce_dkg_120_01 = "\xee\xdd\xcc\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x01" +nonce_dkg_120_02 = "\xee\xdd\xcc\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x02" +nonce_dkg_120_03 = "\xee\xdd\xcc\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x03" +nonce_dkg_120_04 = "\xee\xdd\xcc\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x04" +nonce_dkg_120_05 = "\xee\xdd\xcc\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x05" +nonce_dkg_120_06 = "\xee\xdd\xcc\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x06" +nonce_dkg_120_07 = "\xee\xdd\xcc\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x07" +nonce_dkg_120_08 = "\xee\xdd\xcc\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x08" +nonce_dkg_120_09 = "\xee\xdd\xcc\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x09" +nonce_dkg_120_0a = "\xee\xdd\xcc\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x0a" +nonce_dkg_120_0b = "\xee\xdd\xcc\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x0b" +nonce_dkg_120_0c = "\xee\xdd\xcc\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x0c" +nonce_dkg_120_0d = "\xee\xdd\xcc\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x0d" +nonce_dkg_120_0e = "\xee\xdd\xcc\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x0e" +nonce_dkg_120_0f = "\xee\xdd\xcc\xbb\xaa\x99\x88\x77\x66\x55\x44\x33\x22\x11\x0f" + +bytes8 = "\x00\x01\x02\x03\x04\x05\x06\x07" +bytes16 = "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f" +bytes24 = + "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17" +bytes32 = + "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f" +bytes40 = + "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27" + +vectors_aes128_enc :: [KATOCB3] +vectors_aes128_enc = + [ + ( {-key = -} key1 + , {-iv = -} nonce1 + , {-aad = -} "" + , {-input = -} "" + , {-out = -} "" + , {-taglen = -} 16 + , {-tag = -} "\x19\x7b\x9c\x3c\x44\x1d\x3c\x83\xea\xfb\x2b\xef\x63\x3b\x91\x82" + ) + , + ( key1 + , nonce1 + , "\x00\x01\x02\x03\x04\x05\x06\x07" + , "\x00\x01\x02\x03\x04\x05\x06\x07" + , "\x92\xb6\x57\x13\x0a\x74\xb8\x5a" + , 16 + , "\x16\xdc\x76\xa4\x6d\x47\xe1\xea\xd5\x37\x20\x9e\x8a\x96\xd1\x4e" + ) + , + ( key1 + , nonce1 + , "\x00\x01\x02\x03\x04\x05\x06\x07" + , "" + , "" + , 16 + , "\x98\xb9\x15\x52\xc8\xc0\x09\x18\x50\x44\xe3\x0a\x6e\xb2\xfe\x21" + ) + , + ( key1 + , nonce1 + , "" + , "\x00\x01\x02\x03\x04\x05\x06\x07" + , "\x92\xb6\x57\x13\x0a\x74\xb8\x5a" + , 16 + , "\x97\x1e\xff\xca\xe1\x9a\xd4\x71\x6f\x88\xe8\x7b\x87\x1f\xbe\xed" + ) + , + ( key1 + , nonce1 + , "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f" + , "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f" + , "\xbe\xa5\xe8\x79\x8d\xbe\x71\x10\x03\x1c\x14\x4d\xa0\xb2\x61\x22" + , 16 + , "\x77\x6c\x99\x24\xd6\x72\x3a\x1f\xc4\x52\x45\x32\xac\x3e\x5b\xeb" + ) + {- Disabled: 96-bit tag vector + , ( key2 + , nonce2 + , "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27" + , "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27" + , "\x17\x92\xa4\xe3\x1e\x07\x55\xfb\x03\xe3\x1b\x22\x11\x6e\x6c\x2d\xdf\x9e\xfd\x6e\x33\xd5\x36\xf1\xa0\x12\x4b\x0a\x55\xba\xe8\x84\xed\x93\x48\x15\x29\xc7\x6b\x6a" + , 12 + , "\xd0\xc5\x15\xf4\xd1\xcd\xd4\xfd\xac\x4f\x02\xaa" + ) + -} + ] + ++ vectors_rfc7253_aes128_tag128 + ++ vectors_dkg_nonce120_aes128 + +-- From OpenSSL 3.5: the suite had OCB vectors at 128 bits only, and the +-- mode runs a block at a time through whatever the key size dispatches to. +vectors_aes192_enc :: [KATOCB3] +vectors_aes192_enc = + [ + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab" + , "" + , "" + , "" + , 16 + , "\x6a\xaf\x71\x1d\xef\xf8\xc9\x45\xa0\xf6\x19\x79\x56\x53\x44\x5c" + ) + , + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab" + , "\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f\x60\x61\x62\x63" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c" + , "\xd2\xe9\x10\x26\xf2\x07\xc8\xd9\x21\x36\x43\xc4\xdc\x32\xa2\xaa" + , 16 + , "\x4c\x79\xf5\x7b\x3b\x99\xd4\xb0\x7e\x41\xe9\x4e\x0b\xb2\x54\xda" + ) + , + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab" + , "\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f\x60\x61\x62\x63" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c\x73\x7a\x81\x88\x8f\x96\x9d\xa4\xab\xb2\xb9\xc0\xc7\xce\xd5\xdc\xe3\xea\xf1\xf8\xff\x06\x0d\x14\x1b\x22\x29\x30\x37\x3e\x45\x4c\x53\x5a\x61\x68\x6f\x76\x7d\x84\x8b\x92\x99\xa0" + , "\xd2\xe9\x10\x26\xf2\x07\xc8\xd9\x21\x36\x43\xc4\xdc\x32\xa2\xaa\xcf\x50\xd3\xd3\x40\x79\xef\xe6\x91\xcc\x4d\xd0\x5c\x33\x3f\x2e\x36\xe2\x00\x0f\x2a\x50\xa5\xcc\xf2\x46\x39\x4f\x36\xee\x2b\x22\xa5\x3e\x8a\xb2\x0b\xa1\x1b\x33\x94\xca\x61\x2e" + , 16 + , "\x89\x79\x7c\xc8\xae\xdc\x11\xbc\x16\x90\xfa\x80\x9a\xb7\xb4\xad" + ) + , + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab" + , "\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c\x73\x7a\x81\x88\x8f\x96\x9d\xa4\xab\xb2\xb9\xc0\xc7\xce\xd5\xdc\xe3\xea\xf1\xf8\xff\x06\x0d\x14\x1b\x22\x29\x30\x37\x3e\x45\x4c\x53\x5a\x61\x68\x6f\x76\x7d\x84\x8b\x92\x99\xa0\xa7\xae\xb5\xbc\xc3\xca\xd1\xd8\xdf\xe6\xed\xf4\xfb\x02\x09\x10\x17\x1e\x25\x2c\x33\x3a\x41\x48\x4f\x56\x5d\x64\x6b\x72\x79\x80\x87\x8e\x95\x9c\xa3\xaa\xb1\xb8\xbf\xc6\xcd\xd4\xdb\xe2\xe9\xf0\xf7\xfe\x05\x0c\x13\x1a\x21\x28\x2f\x36\x3d\x44\x4b\x52\x59\x60\x67\x6e\x75\x7c\x83\x8a\x91\x98\x9f\xa6\xad\xb4\xbb\xc2\xc9\xd0\xd7\xde\xe5\xec\xf3\xfa" + , "\xd2\xe9\x10\x26\xf2\x07\xc8\xd9\x21\x36\x43\xc4\xdc\x32\xa2\xaa\xcf\x50\xd3\xd3\x40\x79\xef\xe6\x91\xcc\x4d\xd0\x5c\x33\x3f\x2e\x36\xe2\x00\x0f\x2a\x50\xa5\xcc\xf2\x46\x39\x4f\x36\xee\x2b\x22\xd2\xd6\x45\x6c\x07\x54\xd0\xde\x9a\x0e\xf5\x79\x34\xa2\x51\xa1\x1b\xe0\xdd\x47\xe5\x26\x81\x03\xdb\x20\x17\x0c\x4c\x77\x1a\x96\x87\x9a\x4d\xe4\x06\x07\xd6\x25\xdd\x85\x7d\xf4\x05\x42\x74\xc3\xca\x9d\x85\x7a\xe1\x9d\xfc\xab\xe2\x35\x8a\x53\xd6\x9a\x0d\x14\x6d\x81\xb2\x05\xbe\x28\x68\xf0\xa6\xbc\xfb\xb4\x61\x6d\xe2\x2c\xdd\xfb\x3f\xf6\xb3\x49\x45\xb2\xfd\xe6\x60\x55\x9f\xd3\x89\xee\xee\x6e" + , 16 + , "\x9e\x65\x4d\xe8\x97\x81\x6a\x00\x20\x11\xd0\x89\xdf\x6e\x1c\xfc" + ) + ] + +vectors_aes256_enc :: [KATOCB3] +vectors_aes256_enc = + [ + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27\x28\x29\x2a\x2b\x2c\x2d\x2e\x2f" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab" + , "" + , "" + , "" + , 16 + , "\x96\x46\xd7\x6e\x09\xaf\x82\x36\x7c\x05\xe8\x37\x26\x9c\x28\xa2" + ) + , + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27\x28\x29\x2a\x2b\x2c\x2d\x2e\x2f" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab" + , "\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f\x60\x61\x62\x63" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c" + , "\xb6\xd6\x04\x43\x79\x1b\x06\xba\xbb\x66\xe9\xda\x14\xbb\x4b\x07" + , 16 + , "\x92\x64\x4d\x1a\x5c\x28\x39\x79\x17\x14\x7f\x97\x66\xf9\x36\x94" + ) + , + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27\x28\x29\x2a\x2b\x2c\x2d\x2e\x2f" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab" + , "\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f\x60\x61\x62\x63" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c\x73\x7a\x81\x88\x8f\x96\x9d\xa4\xab\xb2\xb9\xc0\xc7\xce\xd5\xdc\xe3\xea\xf1\xf8\xff\x06\x0d\x14\x1b\x22\x29\x30\x37\x3e\x45\x4c\x53\x5a\x61\x68\x6f\x76\x7d\x84\x8b\x92\x99\xa0" + , "\xb6\xd6\x04\x43\x79\x1b\x06\xba\xbb\x66\xe9\xda\x14\xbb\x4b\x07\xb4\xa7\xea\x1a\xc1\x12\x12\x4e\xcc\x81\x3f\x3b\x89\x02\xaa\xf5\xaa\x21\xdf\xa5\xe1\x1a\xe9\x73\x11\x4e\x89\x20\xf6\x32\xfa\xdb\x25\x68\x31\x2d\x7c\x2c\x68\x0c\xb9\x7f\x6d\xc5" + , 16 + , "\x09\x35\x78\xfd\x9d\xdb\xc6\x62\x1d\x54\x52\x80\x6d\xe7\x46\x6b" + ) + , + ( "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27\x28\x29\x2a\x2b\x2c\x2d\x2e\x2f" + , "\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab" + , "\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c" + , "\x03\x0a\x11\x18\x1f\x26\x2d\x34\x3b\x42\x49\x50\x57\x5e\x65\x6c\x73\x7a\x81\x88\x8f\x96\x9d\xa4\xab\xb2\xb9\xc0\xc7\xce\xd5\xdc\xe3\xea\xf1\xf8\xff\x06\x0d\x14\x1b\x22\x29\x30\x37\x3e\x45\x4c\x53\x5a\x61\x68\x6f\x76\x7d\x84\x8b\x92\x99\xa0\xa7\xae\xb5\xbc\xc3\xca\xd1\xd8\xdf\xe6\xed\xf4\xfb\x02\x09\x10\x17\x1e\x25\x2c\x33\x3a\x41\x48\x4f\x56\x5d\x64\x6b\x72\x79\x80\x87\x8e\x95\x9c\xa3\xaa\xb1\xb8\xbf\xc6\xcd\xd4\xdb\xe2\xe9\xf0\xf7\xfe\x05\x0c\x13\x1a\x21\x28\x2f\x36\x3d\x44\x4b\x52\x59\x60\x67\x6e\x75\x7c\x83\x8a\x91\x98\x9f\xa6\xad\xb4\xbb\xc2\xc9\xd0\xd7\xde\xe5\xec\xf3\xfa" + , "\xb6\xd6\x04\x43\x79\x1b\x06\xba\xbb\x66\xe9\xda\x14\xbb\x4b\x07\xb4\xa7\xea\x1a\xc1\x12\x12\x4e\xcc\x81\x3f\x3b\x89\x02\xaa\xf5\xaa\x21\xdf\xa5\xe1\x1a\xe9\x73\x11\x4e\x89\x20\xf6\x32\xfa\xdb\x96\xe1\x52\x26\xb5\x0c\xc7\xf4\xce\x6c\x77\xd9\x3f\xbb\x7d\x37\x3d\xb2\xa0\xe3\x48\x2a\xff\xab\xac\x92\x32\x1b\xde\xe6\x74\xd4\x15\xdf\xe7\x71\x8f\x32\x0c\xcf\x83\x37\x5f\xd2\xf0\x6b\xfa\xa6\x7a\x98\x5b\x64\xb8\x57\x48\x8d\x31\xa0\x1b\x41\xd2\x4f\x59\x98\xbf\xa0\x49\xb6\xd9\x7a\xf6\xb8\x20\xef\x85\x9c\x4c\xd8\xb8\xe6\x14\x0e\x46\x24\x6f\x19\x7c\x88\x4c\x02\x20\x25\x3c\x89\x73\xa4\x2c\xd0" + , 16 + , "\x12\xd9\x0f\x54\x89\xcf\x64\xcc\x21\xe9\x4a\x6e\x9c\xf7\x0b\x31" + ) + ] + +vectors_rfc7253_aes128_tag128 :: [KATOCB3] +vectors_rfc7253_aes128_tag128 = + [ + ( key1 + , nonce_rfc7253_00 + , "" + , "" + , "" + , 16 + , "\x78\x54\x07\xbf\xff\xc8\xad\x9e\xdc\xc5\x52\x0a\xc9\x11\x1e\xe6" + ) + , + ( key1 + , nonce_rfc7253_01 + , bytes8 + , bytes8 + , "\x68\x20\xb3\x65\x7b\x6f\x61\x5a" + , 16 + , "\x57\x25\xbd\xa0\xd3\xb4\xeb\x3a\x25\x7c\x9a\xf1\xf8\xf0\x30\x09" + ) + , + ( key1 + , nonce_rfc7253_02 + , bytes8 + , "" + , "" + , 16 + , "\x81\x01\x7f\x82\x03\xf0\x81\x27\x71\x52\xfa\xde\x69\x4a\x0a\x00" + ) + , + ( key1 + , nonce_rfc7253_03 + , "" + , bytes8 + , "\x45\xdd\x69\xf8\xf5\xaa\xe7\x24" + , 16 + , "\x14\x05\x4c\xd1\xf3\x5d\x82\x76\x0b\x2c\xd0\x0d\x2f\x99\xbf\xa9" + ) + , + ( key1 + , nonce_rfc7253_04 + , bytes16 + , bytes16 + , "\x57\x1d\x53\x5b\x60\xb2\x77\x18\x8b\xe5\x14\x71\x70\xa9\xa2\x2c" + , 16 + , "\x3a\xd7\xa4\xff\x38\x35\xb8\xc5\x70\x1c\x1c\xce\xc8\xfc\x33\x58" + ) + , + ( key1 + , nonce_rfc7253_05 + , bytes16 + , "" + , "" + , 16 + , "\x8c\xf7\x61\xb6\x90\x2e\xf7\x64\x46\x2a\xd8\x64\x98\xca\x6b\x97" + ) + , + ( key1 + , nonce_rfc7253_06 + , "" + , bytes16 + , "\x5c\xe8\x8e\xc2\xe0\x69\x27\x06\xa9\x15\xc0\x0a\xeb\x8b\x23\x96" + , 16 + , "\xf4\x0e\x1c\x74\x3f\x52\x43\x6b\xdf\x06\xd8\xfa\x1e\xca\x34\x3d" + ) + , + ( key1 + , nonce_rfc7253_07 + , bytes24 + , bytes24 + , "\x1c\xa2\x20\x73\x08\xc8\x7c\x01\x07\x56\x10\x4d\x88\x40\xce\x19\x52\xf0\x96\x73\xa4\x48\xa1\x22" + , 16 + , "\xc9\x2c\x62\x24\x10\x51\xf5\x73\x56\xd7\xf3\xc9\x0b\xb0\xe0\x7f" + ) + , + ( key1 + , nonce_rfc7253_08 + , bytes24 + , "" + , "" + , 16 + , "\x6d\xc2\x25\xa0\x71\xfc\x1b\x9f\x7c\x69\xf9\x3b\x0f\x1e\x10\xde" + ) + , + ( key1 + , nonce_rfc7253_09 + , "" + , bytes24 + , "\x22\x1b\xd0\xde\x7f\xa6\xfe\x99\x3e\xcc\xd7\x69\x46\x0a\x0a\xf2\xd6\xcd\xed\x0c\x39\x5b\x1c\x3c" + , 16 + , "\xe7\x25\xf3\x24\x94\xb9\xf9\x14\xd8\x5c\x0b\x1e\xb3\x83\x57\xff" + ) + , + ( key1 + , nonce_rfc7253_0a + , bytes32 + , bytes32 + , "\xbd\x6f\x6c\x49\x62\x01\xc6\x92\x96\xc1\x1e\xfd\x13\x8a\x46\x7a\xbd\x3c\x70\x79\x24\xb9\x64\xde\xaf\xfc\x40\x31\x9a\xf5\xa4\x85" + , 16 + , "\x40\xfb\xba\x18\x6c\x55\x53\xc6\x8a\xd9\xf5\x92\xa7\x9a\x42\x40" + ) + , + ( key1 + , nonce_rfc7253_0b + , bytes32 + , "" + , "" + , 16 + , "\xfe\x80\x69\x0b\xee\x8a\x48\x5d\x11\xf3\x29\x65\xbc\x9d\x2a\x32" + ) + , + ( key1 + , nonce_rfc7253_0c + , "" + , bytes32 + , "\x29\x42\xbf\xc7\x73\xbd\xa2\x3c\xab\xc6\xac\xfd\x9b\xfd\x58\x35\xbd\x30\x0f\x09\x73\x79\x2e\xf4\x60\x40\xc5\x3f\x14\x32\xbc\xdf" + , 16 + , "\xb5\xe1\xdd\xe3\xbc\x18\xa5\xf8\x40\xb5\x2e\x65\x34\x44\xd5\xdf" + ) + , + ( key1 + , nonce_rfc7253_0d + , bytes40 + , bytes40 + , "\xd5\xca\x91\x74\x84\x10\xc1\x75\x1f\xf8\xa2\xf6\x18\x25\x5b\x68\xa0\xa1\x2e\x09\x3f\xf4\x54\x60\x6e\x59\xf9\xc1\xd0\xdd\xc5\x4b\x65\xe8\x62\x8e\x56\x8b\xad\x7a" + , 16 + , "\xed\x07\xba\x06\xa4\xa6\x94\x83\xa7\x03\x54\x90\xc5\x76\x9e\x60" + ) + , + ( key1 + , nonce_rfc7253_0e + , bytes40 + , "" + , "" + , 16 + , "\xc5\xcd\x9d\x18\x50\xc1\x41\xe3\x58\x64\x99\x94\xee\x70\x1b\x68" + ) + , + ( key1 + , nonce_rfc7253_0f + , "" + , bytes40 + , "\x44\x12\x92\x34\x93\xc5\x7d\x5d\xe0\xd7\x00\xf7\x53\xcc\xe0\xd1\xd2\xd9\x50\x60\x12\x2e\x9f\x15\xa5\xdd\xbf\xc5\x78\x7e\x50\xb5\xcc\x55\xee\x50\x7b\xcb\x08\x4e" + , 16 + , "\x47\x9a\xd3\x63\xac\x36\x6b\x95\xa9\x8c\xa5\xf3\x00\x0b\x14\x79" + ) + ] + +vectors_dkg_nonce120_aes128 :: [KATOCB3] +vectors_dkg_nonce120_aes128 = + [ + ( key1 + , nonce_dkg_120_00 + , "" + , "" + , "" + , 16 + , "\x75\x2a\xcd\x21\x32\xc4\x1e\x02\x0e\x41\xfb\x22\x3e\xfd\x77\xb6" + ) + , + ( key1 + , nonce_dkg_120_01 + , bytes8 + , bytes8 + , "\x20\x1f\xe4\xd8\x9e\xa7\xbd\x1e" + , 16 + , "\xb5\xb1\x57\x7d\xb1\x62\x83\xb8\xae\xd1\x71\x5a\xd6\xbe\x51\x49" + ) + , + ( key1 + , nonce_dkg_120_02 + , bytes8 + , "" + , "" + , 16 + , "\x71\x09\x60\xb9\xee\x00\xb8\xf4\x4d\x2e\x81\x20\xaa\xba\x63\xae" + ) + , + ( key1 + , nonce_dkg_120_03 + , "" + , bytes8 + , "\x08\x4e\x86\x95\x70\x19\x4b\xd2" + , 16 + , "\x50\x32\xfe\x9e\x53\x28\xe4\x5d\x50\x7e\x74\xf3\x36\x6e\x20\xd2" + ) + , + ( key1 + , nonce_dkg_120_04 + , bytes16 + , bytes16 + , "\x96\x76\xee\x37\xfd\x64\x5c\x07\xc0\xd4\xf7\x0a\xab\xf6\x86\x68" + , 16 + , "\x8e\x39\xb2\xfb\x3f\xc4\xff\x30\xdc\xd1\x82\x7b\x36\xa2\x98\xd3" + ) + , + ( key1 + , nonce_dkg_120_05 + , bytes16 + , "" + , "" + , 16 + , "\x9d\x51\x0f\x56\xed\xf7\x2f\xfa\x34\x96\x9b\xce\xf9\x1e\x6d\xe9" + ) + , + ( key1 + , nonce_dkg_120_06 + , "" + , bytes16 + , "\xd5\xe1\x5a\xa1\xd2\x32\xab\x57\xf2\x34\x36\x6d\xff\xb2\x55\x74" + , 16 + , "\xa3\x63\x6a\x5f\x3e\x34\x33\xea\x45\x90\xcb\xf4\xf9\xac\x1f\x4d" + ) + , + ( key1 + , nonce_dkg_120_07 + , bytes24 + , bytes24 + , "\x1c\x4b\x67\x77\xb7\xf1\x37\xc3\x09\x71\xa9\x3d\xe3\xc5\x6c\xc7\x35\x68\x6a\x6f\x77\x03\x14\x2f" + , 16 + , "\xab\x8a\xcc\x98\x7c\x14\x06\xdf\xf9\x62\x73\xc5\x37\x6e\x62\x10" + ) + , + ( key1 + , nonce_dkg_120_08 + , bytes24 + , "" + , "" + , 16 + , "\x96\xe6\x70\xc0\x23\x8f\xb9\x69\xb7\xac\xe4\xab\xaf\x74\x38\xc7" + ) + , + ( key1 + , nonce_dkg_120_09 + , "" + , bytes24 + , "\x12\x90\xa6\x86\xd8\x25\xf7\x12\xe5\x94\xbe\x40\x39\xc0\x4d\x3e\x44\xf7\xd1\x34\x2b\x84\xff\xca" + , 16 + , "\xd6\x8b\xbd\xfa\x04\xb5\x80\xea\x9a\x01\xe2\xf4\x56\x53\x99\xc3" + ) + , + ( key1 + , nonce_dkg_120_0a + , bytes32 + , bytes32 + , "\xfb\xdf\xc1\x1f\x74\x92\x17\xbb\x7f\xae\x5d\x40\x36\xb8\xf2\x28\x03\x71\x2e\xff\x9e\xf9\x43\x42\xfe\x1b\x68\x49\x68\xd0\xe3\xe3" + , 16 + , "\x81\xa2\x77\xda\xab\x83\x57\x94\x06\xa0\x1e\x26\x75\xa0\x82\xc9" + ) + , + ( key1 + , nonce_dkg_120_0b + , bytes32 + , "" + , "" + , 16 + , "\x90\xcd\xa8\xa0\x51\x61\xd2\x87\x33\x61\x37\x4b\x76\xf9\x54\x30" + ) + , + ( key1 + , nonce_dkg_120_0c + , "" + , bytes32 + , "\xd1\x32\x0a\xf4\xb6\xff\x8a\xfe\xec\xee\x79\x21\x39\x5d\x4e\x86\x92\x71\x77\x53\xee\x15\xf5\x03\x8e\xb6\x74\xda\x43\xd6\xea\x8d" + , 16 + , "\xbe\x78\x31\xe7\x23\xbe\x47\x1f\x62\xd9\xe7\xf4\x9a\x7d\x3b\x32" + ) + , + ( key1 + , nonce_dkg_120_0d + , bytes40 + , bytes40 + , "\x5c\x79\xf1\xc4\xb9\xa2\x04\xed\x33\x23\x61\x6d\x57\x6f\xc5\x00\xe4\xa7\x19\x39\xf0\x3a\x3c\x3d\xe2\xc0\x97\xaf\x2c\x6c\x81\xdc\x3f\x03\x09\xe7\x60\x82\xb1\xf5" + , 16 + , "\x0f\xf8\x52\x29\x59\xff\xe4\x1f\x37\xef\x50\x7e\x90\x76\xd3\x2c" + ) + , + ( key1 + , nonce_dkg_120_0e + , bytes40 + , "" + , "" + , 16 + , "\x3b\xf1\x58\xb7\xde\x76\xc5\x15\x1e\xf6\x08\x6a\x82\x5d\x0c\xc4" + ) + , + ( key1 + , nonce_dkg_120_0f + , "" + , bytes40 + , "\x34\xda\x59\xd2\xeb\x08\xf4\x78\x22\xd4\x8c\x85\xb6\xa1\xd2\x36\x94\xe1\xd3\xde\x68\x0d\x61\x6d\x7b\x1b\x59\x47\x2c\x13\xe3\x69\xc6\x8d\xca\x69\x9d\xa1\x68\x6a" + , 16 + , "\x33\x9d\x54\x52\x80\x36\x32\x81\x0b\x08\x40\xe6\x80\x4a\xb0\x20" + ) + {- Disabled: 96-bit tag vector + , ( key2 + , nonce_dkg_120_0d + , bytes40 + , bytes40 + , "\x07\xe9\x03\xbf\xc4\x95\x52\x41\x1a\xbc\x86\x5f\x5e\xce\x60\xf6\xfa\xd1\xf5\xa9\xf1\x4d\x30\x70\xfa\x2f\x13\x08\xa5\x63\x20\x7f\xfe\x14\xc1\xee\xa4\x4b\x22\x05" + , 12 + , "\x9c\x74\x84\x31\x9d\x8a\x2c\x53\xc2\x36\xa7\xb3" + ) + -} + ] diff --git a/tests/BlockCipher/AES/XTS.hs b/tests/BlockCipher/AES/XTS.hs new file mode 100644 --- /dev/null +++ b/tests/BlockCipher/AES/XTS.hs @@ -0,0 +1,68 @@ +{-# LANGUAGE OverloadedStrings #-} + +module BlockCipher.AES.XTS where + +import qualified Data.ByteString as B +import Data.ByteString.Char8 () + +type KATXTS = + ( B.ByteString + , B.ByteString + , B.ByteString + , B.ByteString + , B.ByteString + , B.ByteString + ) + +vectors_aes128_enc + , vectors_aes128_dec + , vectors_aes256_enc + , vectors_aes256_dec + :: [KATXTS] +vectors_aes128_enc = + [ + ( "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x66\xe9\x4b\xd4\xef\x8a\x2c\x3b\x88\x4c\xfa\x59\xca\x34\x2b\x2e\xcc\xd2\x97\xa8\xdf\x15\x59\x76\x10\x99\xf4\xb3\x94\x69\x56\x5c" + , "\x91\x7c\xf6\x9e\xbd\x68\xb2\xec\x9b\x9f\xe9\xa3\xea\xdd\xa6\x92\xcd\x43\xd2\xf5\x95\x98\xed\x85\x8c\x02\xc2\x65\x2f\xbf\x92\x2e" + ) + , + ( "\x11\x11\x11\x11\x11\x11\x11\x11\x11\x11\x11\x11\x11\x11\x11\x11" + , "\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22" + , "\x33\x33\x33\x33\x33\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44" + , "\x3f\x80\x3b\xcd\x0d\x7f\xd2\xb3\x75\x58\x41\x9f\x59\xd5\xcd\xa6\xf9\x00\x77\x9a\x1b\xfe\xa4\x67\xeb\xb0\x82\x3e\xb3\xaa\x9b\x4d" + , "\xc4\x54\x18\x5e\x6a\x16\x93\x6e\x39\x33\x40\x38\xac\xef\x83\x8b\xfb\x18\x6f\xff\x74\x80\xad\xc4\x28\x93\x82\xec\xd6\xd3\x94\xf0" + ) + , + ( "\xff\xfe\xfd\xfc\xfb\xfa\xf9\xf8\xf7\xf6\xf5\xf4\xf3\xf2\xf1\xf0" + , "\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22" + , "\x33\x33\x33\x33\x33\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44" + , "\x3f\x80\x3b\xcd\x0d\x7f\xd2\xb3\x75\x58\x41\x9f\x59\xd5\xcd\xa6\xf9\x00\x77\x9a\x1b\xfe\xa4\x67\xeb\xb0\x82\x3e\xb3\xaa\x9b\x4d" + , "\xaf\x85\x33\x6b\x59\x7a\xfc\x1a\x90\x0b\x2e\xb2\x1e\xc9\x49\xd2\x92\xdf\x4c\x04\x7e\x0b\x21\x53\x21\x86\xa5\x97\x1a\x22\x7a\x89" + ) + , + ( "\x27\x18\x28\x18\x28\x45\x90\x45\x23\x53\x60\x28\x74\x71\x35\x26" + , "\x31\x41\x59\x26\x53\x58\x97\x93\x23\x84\x62\x64\x33\x83\x27\x95" + , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27\x28\x29\x2a\x2b\x2c\x2d\x2e\x2f\x30\x31\x32\x33\x34\x35\x36\x37\x38\x39\x3a\x3b\x3c\x3d\x3e\x3f\x40\x41\x42\x43\x44\x45\x46\x47\x48\x49\x4a\x4b\x4c\x4d\x4e\x4f\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f\x60\x61\x62\x63\x64\x65\x66\x67\x68\x69\x6a\x6b\x6c\x6d\x6e\x6f\x70\x71\x72\x73\x74\x75\x76\x77\x78\x79\x7a\x7b\x7c\x7d\x7e\x7f\x80\x81\x82\x83\x84\x85\x86\x87\x88\x89\x8a\x8b\x8c\x8d\x8e\x8f\x90\x91\x92\x93\x94\x95\x96\x97\x98\x99\x9a\x9b\x9c\x9d\x9e\x9f\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac\xad\xae\xaf\xb0\xb1\xb2\xb3\xb4\xb5\xb6\xb7\xb8\xb9\xba\xbb\xbc\xbd\xbe\xbf\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf\xd0\xd1\xd2\xd3\xd4\xd5\xd6\xd7\xd8\xd9\xda\xdb\xdc\xdd\xde\xdf\xe0\xe1\xe2\xe3\xe4\xe5\xe6\xe7\xe8\xe9\xea\xeb\xec\xed\xee\xef\xf0\xf1\xf2\xf3\xf4\xf5\xf6\xf7\xf8\xf9\xfa\xfb\xfc\xfd\xfe\xff\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27\x28\x29\x2a\x2b\x2c\x2d\x2e\x2f\x30\x31\x32\x33\x34\x35\x36\x37\x38\x39\x3a\x3b\x3c\x3d\x3e\x3f\x40\x41\x42\x43\x44\x45\x46\x47\x48\x49\x4a\x4b\x4c\x4d\x4e\x4f\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f\x60\x61\x62\x63\x64\x65\x66\x67\x68\x69\x6a\x6b\x6c\x6d\x6e\x6f\x70\x71\x72\x73\x74\x75\x76\x77\x78\x79\x7a\x7b\x7c\x7d\x7e\x7f\x80\x81\x82\x83\x84\x85\x86\x87\x88\x89\x8a\x8b\x8c\x8d\x8e\x8f\x90\x91\x92\x93\x94\x95\x96\x97\x98\x99\x9a\x9b\x9c\x9d\x9e\x9f\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac\xad\xae\xaf\xb0\xb1\xb2\xb3\xb4\xb5\xb6\xb7\xb8\xb9\xba\xbb\xbc\xbd\xbe\xbf\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf\xd0\xd1\xd2\xd3\xd4\xd5\xd6\xd7\xd8\xd9\xda\xdb\xdc\xdd\xde\xdf\xe0\xe1\xe2\xe3\xe4\xe5\xe6\xe7\xe8\xe9\xea\xeb\xec\xed\xee\xef\xf0\xf1\xf2\xf3\xf4\xf5\xf6\xf7\xf8\xf9\xfa\xfb\xfc\xfd\xfe\xff" + , "" + , "\x27\xa7\x47\x9b\xef\xa1\xd4\x76\x48\x9f\x30\x8c\xd4\xcf\xa6\xe2\xa9\x6e\x4b\xbe\x32\x08\xff\x25\x28\x7d\xd3\x81\x96\x16\xe8\x9c\xc7\x8c\xf7\xf5\xe5\x43\x44\x5f\x83\x33\xd8\xfa\x7f\x56\x00\x00\x05\x27\x9f\xa5\xd8\xb5\xe4\xad\x40\xe7\x36\xdd\xb4\xd3\x54\x12\x32\x80\x63\xfd\x2a\xab\x53\xe5\xea\x1e\x0a\x9f\x33\x25\x00\xa5\xdf\x94\x87\xd0\x7a\x5c\x92\xcc\x51\x2c\x88\x66\xc7\xe8\x60\xce\x93\xfd\xf1\x66\xa2\x49\x12\xb4\x22\x97\x61\x46\xae\x20\xce\x84\x6b\xb7\xdc\x9b\xa9\x4a\x76\x7a\xae\xf2\x0c\x0d\x61\xad\x02\x65\x5e\xa9\x2d\xc4\xc4\xe4\x1a\x89\x52\xc6\x51\xd3\x31\x74\xbe\x51\xa1\x0c\x42\x11\x10\xe6\xd8\x15\x88\xed\xe8\x21\x03\xa2\x52\xd8\xa7\x50\xe8\x76\x8d\xef\xff\xed\x91\x22\x81\x0a\xae\xb9\x9f\x91\x72\xaf\x82\xb6\x04\xdc\x4b\x8e\x51\xbc\xb0\x82\x35\xa6\xf4\x34\x13\x32\xe4\xca\x60\x48\x2a\x4b\xa1\xa0\x3b\x3e\x65\x00\x8f\xc5\xda\x76\xb7\x0b\xf1\x69\x0d\xb4\xea\xe2\x9c\x5f\x1b\xad\xd0\x3c\x5c\xcf\x2a\x55\xd7\x05\xdd\xcd\x86\xd4\x49\x51\x1c\xeb\x7e\xc3\x0b\xf1\x2b\x1f\xa3\x5b\x91\x3f\x9f\x74\x7a\x8a\xfd\x1b\x13\x0e\x94\xbf\xf9\x4e\xff\xd0\x1a\x91\x73\x5c\xa1\x72\x6a\xcd\x0b\x19\x7c\x4e\x5b\x03\x39\x36\x97\xe1\x26\x82\x6f\xb6\xbb\xde\x8e\xcc\x1e\x08\x29\x85\x16\xe2\xc9\xed\x03\xff\x3c\x1b\x78\x60\xf6\xde\x76\xd4\xce\xcd\x94\xc8\x11\x98\x55\xef\x52\x97\xca\x67\xe9\xf3\xe7\xff\x72\xb1\xe9\x97\x85\xca\x0a\x7e\x77\x20\xc5\xb3\x6d\xc6\xd7\x2c\xac\x95\x74\xc8\xcb\xbc\x2f\x80\x1e\x23\xe5\x6f\xd3\x44\xb0\x7f\x22\x15\x4b\xeb\xa0\xf0\x8c\xe8\x89\x1e\x64\x3e\xd9\x95\xc9\x4d\x9a\x69\xc9\xf1\xb5\xf4\x99\x02\x7a\x78\x57\x2a\xee\xbd\x74\xd2\x0c\xc3\x98\x81\xc2\x13\xee\x77\x0b\x10\x10\xe4\xbe\xa7\x18\x84\x69\x77\xae\x11\x9f\x7a\x02\x3a\xb5\x8c\xca\x0a\xd7\x52\xaf\xe6\x56\xbb\x3c\x17\x25\x6a\x9f\x6e\x9b\xf1\x9f\xdd\x5a\x38\xfc\x82\xbb\xe8\x72\xc5\x53\x9e\xdb\x60\x9e\xf4\xf7\x9c\x20\x3e\xbb\x14\x0f\x2e\x58\x3c\xb2\xad\x15\xb4\xaa\x5b\x65\x50\x16\xa8\x44\x92\x77\xdb\xd4\x77\xef\x2c\x8d\x6c\x01\x7d\xb7\x38\xb1\x8d\xeb\x4a\x42\x7d\x19\x23\xce\x3f\xf2\x62\x73\x57\x79\xa4\x18\xf2\x0a\x28\x2d\xf9\x20\x14\x7b\xea\xbe\x42\x1e\xe5\x31\x9d\x05\x68" + ) + ] +vectors_aes128_dec = + [] +vectors_aes256_enc = + [ + ( "\x27\x18\x28\x18\x28\x45\x90\x45\x23\x53\x60\x28\x74\x71\x35\x26\x62\x49\x77\x57\x24\x70\x93\x69\x99\x59\x57\x49\x66\x96\x76\x27" + , "\x31\x41\x59\x26\x53\x58\x97\x93\x23\x84\x62\x64\x33\x83\x27\x95\x02\x88\x41\x97\x16\x93\x99\x37\x51\x05\x82\x09\x74\x94\x45\x92" + , "\xff\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27\x28\x29\x2a\x2b\x2c\x2d\x2e\x2f\x30\x31\x32\x33\x34\x35\x36\x37\x38\x39\x3a\x3b\x3c\x3d\x3e\x3f\x40\x41\x42\x43\x44\x45\x46\x47\x48\x49\x4a\x4b\x4c\x4d\x4e\x4f\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f\x60\x61\x62\x63\x64\x65\x66\x67\x68\x69\x6a\x6b\x6c\x6d\x6e\x6f\x70\x71\x72\x73\x74\x75\x76\x77\x78\x79\x7a\x7b\x7c\x7d\x7e\x7f\x80\x81\x82\x83\x84\x85\x86\x87\x88\x89\x8a\x8b\x8c\x8d\x8e\x8f\x90\x91\x92\x93\x94\x95\x96\x97\x98\x99\x9a\x9b\x9c\x9d\x9e\x9f\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac\xad\xae\xaf\xb0\xb1\xb2\xb3\xb4\xb5\xb6\xb7\xb8\xb9\xba\xbb\xbc\xbd\xbe\xbf\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf\xd0\xd1\xd2\xd3\xd4\xd5\xd6\xd7\xd8\xd9\xda\xdb\xdc\xdd\xde\xdf\xe0\xe1\xe2\xe3\xe4\xe5\xe6\xe7\xe8\xe9\xea\xeb\xec\xed\xee\xef\xf0\xf1\xf2\xf3\xf4\xf5\xf6\xf7\xf8\xf9\xfa\xfb\xfc\xfd\xfe\xff\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27\x28\x29\x2a\x2b\x2c\x2d\x2e\x2f\x30\x31\x32\x33\x34\x35\x36\x37\x38\x39\x3a\x3b\x3c\x3d\x3e\x3f\x40\x41\x42\x43\x44\x45\x46\x47\x48\x49\x4a\x4b\x4c\x4d\x4e\x4f\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f\x60\x61\x62\x63\x64\x65\x66\x67\x68\x69\x6a\x6b\x6c\x6d\x6e\x6f\x70\x71\x72\x73\x74\x75\x76\x77\x78\x79\x7a\x7b\x7c\x7d\x7e\x7f\x80\x81\x82\x83\x84\x85\x86\x87\x88\x89\x8a\x8b\x8c\x8d\x8e\x8f\x90\x91\x92\x93\x94\x95\x96\x97\x98\x99\x9a\x9b\x9c\x9d\x9e\x9f\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac\xad\xae\xaf\xb0\xb1\xb2\xb3\xb4\xb5\xb6\xb7\xb8\xb9\xba\xbb\xbc\xbd\xbe\xbf\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf\xd0\xd1\xd2\xd3\xd4\xd5\xd6\xd7\xd8\xd9\xda\xdb\xdc\xdd\xde\xdf\xe0\xe1\xe2\xe3\xe4\xe5\xe6\xe7\xe8\xe9\xea\xeb\xec\xed\xee\xef\xf0\xf1\xf2\xf3\xf4\xf5\xf6\xf7\xf8\xf9\xfa\xfb\xfc\xfd\xfe\xff" + , "" + , "\x1c\x3b\x3a\x10\x2f\x77\x03\x86\xe4\x83\x6c\x99\xe3\x70\xcf\x9b\xea\x00\x80\x3f\x5e\x48\x23\x57\xa4\xae\x12\xd4\x14\xa3\xe6\x3b\x5d\x31\xe2\x76\xf8\xfe\x4a\x8d\x66\xb3\x17\xf9\xac\x68\x3f\x44\x68\x0a\x86\xac\x35\xad\xfc\x33\x45\xbe\xfe\xcb\x4b\xb1\x88\xfd\x57\x76\x92\x6c\x49\xa3\x09\x5e\xb1\x08\xfd\x10\x98\xba\xec\x70\xaa\xa6\x69\x99\xa7\x2a\x82\xf2\x7d\x84\x8b\x21\xd4\xa7\x41\xb0\xc5\xcd\x4d\x5f\xff\x9d\xac\x89\xae\xba\x12\x29\x61\xd0\x3a\x75\x71\x23\xe9\x87\x0f\x8a\xcf\x10\x00\x02\x08\x87\x89\x14\x29\xca\x2a\x3e\x7a\x7d\x7d\xf7\xb1\x03\x55\x16\x5c\x8b\x9a\x6d\x0a\x7d\xe8\xb0\x62\xc4\x50\x0d\xc4\xcd\x12\x0c\x0f\x74\x18\xda\xe3\xd0\xb5\x78\x1c\x34\x80\x3f\xa7\x54\x21\xc7\x90\xdf\xe1\xde\x18\x34\xf2\x80\xd7\x66\x7b\x32\x7f\x6c\x8c\xd7\x55\x7e\x12\xac\x3a\x0f\x93\xec\x05\xc5\x2e\x04\x93\xef\x31\xa1\x2d\x3d\x92\x60\xf7\x9a\x28\x9d\x6a\x37\x9b\xc7\x0c\x50\x84\x14\x73\xd1\xa8\xcc\x81\xec\x58\x3e\x96\x45\xe0\x7b\x8d\x96\x70\x65\x5b\xa5\xbb\xcf\xec\xc6\xdc\x39\x66\x38\x0a\xd8\xfe\xcb\x17\xb6\xba\x02\x46\x9a\x02\x0a\x84\xe1\x8e\x8f\x84\x25\x20\x70\xc1\x3e\x9f\x1f\x28\x9b\xe5\x4f\xbc\x48\x14\x57\x77\x8f\x61\x60\x15\xe1\x32\x7a\x02\xb1\x40\xf1\x50\x5e\xb3\x09\x32\x6d\x68\x37\x8f\x83\x74\x59\x5c\x84\x9d\x84\xf4\xc3\x33\xec\x44\x23\x88\x51\x43\xcb\x47\xbd\x71\xc5\xed\xae\x9b\xe6\x9a\x2f\xfe\xce\xb1\xbe\xc9\xde\x24\x4f\xbe\x15\x99\x2b\x11\xb7\x7c\x04\x0f\x12\xbd\x8f\x6a\x97\x5a\x44\xa0\xf9\x0c\x29\xa9\xab\xc3\xd4\xd8\x93\x92\x72\x84\xc5\x87\x54\xcc\xe2\x94\x52\x9f\x86\x14\xdc\xd2\xab\xa9\x91\x92\x5f\xed\xc4\xae\x74\xff\xac\x6e\x33\x3b\x93\xeb\x4a\xff\x04\x79\xda\x9a\x41\x0e\x44\x50\xe0\xdd\x7a\xe4\xc6\xe2\x91\x09\x00\x57\x5d\xa4\x01\xfc\x07\x05\x9f\x64\x5e\x8b\x7e\x9b\xfd\xef\x33\x94\x30\x54\xff\x84\x01\x14\x93\xc2\x7b\x34\x29\xea\xed\xb4\xed\x53\x76\x44\x1a\x77\xed\x43\x85\x1a\xd7\x7f\x16\xf5\x41\xdf\xd2\x69\xd5\x0d\x6a\x5f\x14\xfb\x0a\xab\x1c\xbb\x4c\x15\x50\xbe\x97\xf7\xab\x40\x66\x19\x3c\x4c\xaa\x77\x3d\xad\x38\x01\x4b\xd2\x09\x2f\xa7\x55\xc8\x24\xbb\x5e\x54\xc4\xf3\x6f\xfd\xa9\xfc\xea\x70\xb9\xc6\xe6\x93\xe1\x48\xc1\x51" + ) + ] +vectors_aes256_dec = [] diff --git a/tests/BlockCipher/AESGCMSIVSpec.hs b/tests/BlockCipher/AESGCMSIVSpec.hs new file mode 100644 --- /dev/null +++ b/tests/BlockCipher/AESGCMSIVSpec.hs @@ -0,0 +1,665 @@ +{-# LANGUAGE FlexibleInstances #-} +{-# LANGUAGE OverloadedStrings #-} +{-# LANGUAGE Rank2Types #-} +{-# LANGUAGE RecordWildCards #-} + +module BlockCipher.AESGCMSIVSpec (spec) where + +import Imports + +import qualified Data.ByteArray as B +import Data.Proxy + +import Crypto.Cipher.AES +import Crypto.Cipher.AESGCMSIV +import Crypto.Cipher.Types +import Crypto.Error + +data Vector c = Vector + { vecPlaintext :: ByteString + , vecAAD :: ByteString + , vecKey :: ByteString + , vecNonce :: ByteString + , vecTag :: ByteString + , vecCiphertext :: ByteString + } + +vecCipher :: Cipher c => Vector c -> c +vecCipher = throwCryptoError . cipherInit . vecKey + +vectors128 :: [Vector AES128] +vectors128 = + [ Vector + { vecPlaintext = "" + , vecAAD = "" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\xdc\x20\xe2\xd8\x3f\x25\x70\x5b\xb4\x9e\x43\x9e\xca\x56\xde\x25" + , vecCiphertext = "" + } + , Vector + { vecPlaintext = "\x01\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\x57\x87\x82\xff\xf6\x01\x3b\x81\x5b\x28\x7c\x22\x49\x3a\x36\x4c" + , vecCiphertext = "\xb5\xd8\x39\x33\x0a\xc7\xb7\x86" + } + , Vector + { vecPlaintext = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\xa4\x97\x8d\xb3\x57\x39\x1a\x0b\xc4\xfd\xec\x8b\x0d\x10\x66\x39" + , vecCiphertext = "\x73\x23\xea\x61\xd0\x59\x32\x26\x00\x47\xd9\x42" + } + , Vector + { vecPlaintext = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\x30\x3a\xaf\x90\xf6\xfe\x21\x19\x9c\x60\x68\x57\x74\x37\xa0\xc4" + , vecCiphertext = + "\x74\x3f\x7c\x80\x77\xab\x25\xf8\x62\x4e\x2e\x94\x85\x79\xcf\x77" + } + , Vector + { vecPlaintext = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\x1a\x8e\x45\xdc\xd4\x57\x8c\x66\x7c\xd8\x68\x47\xbf\x61\x55\xff" + , vecCiphertext = + "\x84\xe0\x7e\x62\xba\x83\xa6\x58\x54\x17\x24\x5d\x7e\xc4\x13\xa9\xfe\x42\x7d\x63\x15\xc0\x9b\x57\xce\x45\xf2\xe3\x93\x6a\x94\x45" + } + , Vector + { vecPlaintext = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\x5e\x6e\x31\x1d\xbf\x39\x5d\x35\xb0\xfe\x39\xc2\x71\x43\x88\xf8" + , vecCiphertext = + "\x3f\xd2\x4c\xe1\xf5\xa6\x7b\x75\xbf\x23\x51\xf1\x81\xa4\x75\xc7\xb8\x00\xa5\xb4\xd3\xdc\xf7\x01\x06\xb1\xee\xa8\x2f\xa1\xd6\x4d\xf4\x2b\xf7\x22\x61\x22\xfa\x92\xe1\x7a\x40\xee\xaa\xc1\x20\x1b" + } + , Vector + { vecPlaintext = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\x8a\x26\x3d\xd3\x17\xaa\x88\xd5\x6b\xdf\x39\x36\xdb\xa7\x5b\xb8" + , vecCiphertext = + "\x24\x33\x66\x8f\x10\x58\x19\x0f\x6d\x43\xe3\x60\xf4\xf3\x5c\xd8\xe4\x75\x12\x7c\xfc\xa7\x02\x8e\xa8\xab\x5c\x20\xf7\xab\x2a\xf0\x25\x16\xa2\xbd\xcb\xc0\x8d\x52\x1b\xe3\x7f\xf2\x8c\x15\x2b\xba\x36\x69\x7f\x25\xb4\xcd\x16\x9c\x65\x90\xd1\xdd\x39\x56\x6d\x3f" + } + , Vector + { vecPlaintext = "\x02\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "\x01" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\x3b\x0a\x1a\x25\x60\x96\x9c\xdf\x79\x0d\x99\x75\x9a\xbd\x15\x08" + , vecCiphertext = "\x1e\x6d\xab\xa3\x56\x69\xf4\x27" + } + , Vector + { vecPlaintext = "\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "\x01" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\x08\x29\x9c\x51\x02\x74\x5a\xaa\x3a\x0c\x46\x9f\xad\x9e\x07\x5a" + , vecCiphertext = "\x29\x6c\x78\x89\xfd\x99\xf4\x19\x17\xf4\x46\x20" + } + , Vector + { vecPlaintext = + "\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "\x01" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\x8f\x89\x36\xec\x03\x9e\x4e\x4b\xb9\x7e\xbd\x8c\x44\x57\x44\x1f" + , vecCiphertext = + "\xe2\xb0\xc5\xda\x79\xa9\x01\xc1\x74\x5f\x70\x05\x25\xcb\x33\x5b" + } + , Vector + { vecPlaintext = + "\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "\x01" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\xe6\xaf\x6a\x7f\x87\x28\x7d\xa0\x59\xa7\x16\x84\xed\x34\x98\xe1" + , vecCiphertext = + "\x62\x00\x48\xef\x3c\x1e\x73\xe5\x7e\x02\xbb\x85\x62\xc4\x16\xa3\x19\xe7\x3e\x4c\xaa\xc8\xe9\x6a\x1e\xcb\x29\x33\x14\x5a\x1d\x71" + } + , Vector + { vecPlaintext = + "\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "\x01" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\x6a\x8c\xc3\x86\x5f\x76\x89\x7c\x2e\x4b\x24\x5c\xf3\x1c\x51\xf2" + , vecCiphertext = + "\x50\xc8\x30\x3e\xa9\x39\x25\xd6\x40\x90\xd0\x7b\xd1\x09\xdf\xd9\x51\x5a\x5a\x33\x43\x10\x19\xc1\x7d\x93\x46\x59\x99\xa8\xb0\x05\x32\x01\xd7\x23\x12\x0a\x85\x62\xb8\x38\xcd\xff\x25\xbf\x9d\x1e" + } + , Vector + { vecPlaintext = + "\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x05\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "\x01" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\xcd\xc4\x6a\xe4\x75\x56\x3d\xe0\x37\x00\x1e\xf8\x4a\xe2\x17\x44" + , vecCiphertext = + "\x2f\x5c\x64\x05\x9d\xb5\x5e\xe0\xfb\x84\x7e\xd5\x13\x00\x37\x46\xac\xa4\xe6\x1c\x71\x1b\x5d\xe2\xe7\xa7\x7f\xfd\x02\xda\x42\xfe\xec\x60\x19\x10\xd3\x46\x7b\xb8\xb3\x6e\xbb\xae\xbc\xe5\xfb\xa3\x0d\x36\xc9\x5f\x48\xa3\xe7\x98\x0f\x0e\x7a\xc2\x99\x33\x2a\x80" + } + , Vector + { vecPlaintext = "\x02\x00\x00\x00" + , vecAAD = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\x07\xeb\x1f\x84\xfb\x28\xf8\xcb\x73\xde\x8e\x99\xe2\xf4\x8a\x14" + , vecCiphertext = "\xa8\xfe\x3e\x87" + } + , Vector + { vecPlaintext = + "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00\x00\x00" + , vecAAD = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\x24\xaf\xc9\x80\x5e\x97\x6f\x45\x1e\x6d\x87\xf6\xfe\x10\x65\x14" + , vecCiphertext = + "\x6b\xb0\xfe\xcf\x5d\xed\x9b\x77\xf9\x02\xc7\xd5\xda\x23\x6a\x43\x91\xdd\x02\x97" + } + , Vector + { vecPlaintext = + "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00" + , vecAAD = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00\x00\x00" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\xbf\xf9\xb2\xef\x00\xfb\x47\x92\x0c\xc7\x2a\x0c\x0f\x13\xb9\xfd" + , vecCiphertext = + "\x44\xd0\xaa\xf6\xfb\x2f\x1f\x34\xad\xd5\xe8\x06\x4e\x83\xe1\x2a\x2a\xda" + } + , Vector + { vecPlaintext = "" + , vecAAD = "" + , vecKey = + "\xe6\x60\x21\xd5\xeb\x8e\x4f\x40\x66\xd4\xad\xb9\xc3\x35\x60\xe4" + , vecNonce = "\xf4\x6e\x44\xbb\x3d\xa0\x01\x5c\x94\xf7\x08\x87" + , vecTag = + "\xa4\x19\x4b\x79\x07\x1b\x01\xa8\x7d\x65\xf7\x06\xe3\x94\x95\x78" + , vecCiphertext = "" + } + , Vector + { vecPlaintext = "\x7a\x80\x6c" + , vecAAD = "\x46\xbb\x91\xc3\xc5" + , vecKey = + "\x36\x86\x42\x00\xe0\xea\xf5\x28\x4d\x88\x4a\x0e\x77\xd3\x16\x46" + , vecNonce = "\xba\xe8\xe3\x7f\xc8\x34\x41\xb1\x60\x34\x56\x6b" + , vecTag = + "\x71\x1b\xd8\x5b\xc1\xe4\xd3\xe0\xa4\x62\xe0\x74\xee\xa4\x28\xa8" + , vecCiphertext = "\xaf\x60\xeb" + } + , Vector + { vecPlaintext = "\xbd\xc6\x6f\x14\x65\x45" + , vecAAD = "\xfc\x88\x0c\x94\xa9\x51\x98\x87\x42\x96" + , vecKey = + "\xae\xdb\x64\xa6\xc5\x90\xbc\x84\xd1\xa5\xe2\x69\xe4\xb4\x78\x01" + , vecNonce = "\xaf\xc0\x57\x7e\x34\x69\x9b\x9e\x67\x1f\xdd\x4f" + , vecTag = + "\xd6\xa9\xc4\x55\x45\xcf\xc1\x1f\x03\xad\x74\x3d\xba\x20\xf9\x66" + , vecCiphertext = "\xbb\x93\xa3\xe3\x4d\x3c" + } + , Vector + { vecPlaintext = "\x11\x77\x44\x1f\x19\x54\x95\x86\x0f" + , vecAAD = "\x04\x67\x87\xf3\xea\x22\xc1\x27\xaa\xf1\x95\xd1\x89\x47\x28" + , vecKey = + "\xd5\xcc\x1f\xd1\x61\x32\x0b\x69\x20\xce\x07\x78\x7f\x86\x74\x3b" + , vecNonce = "\x27\x5d\x1a\xb3\x2f\x6d\x1f\x04\x34\xd8\x84\x8c" + , vecTag = + "\x1d\x02\xfd\x0c\xd1\x74\xc8\x4f\xc5\xda\xe2\xf6\x0f\x52\xfd\x2b" + , vecCiphertext = "\x4f\x37\x28\x1f\x7a\xd1\x29\x49\xd0" + } + , Vector + { vecPlaintext = "\x9f\x57\x2c\x61\x4b\x47\x45\x91\x44\x74\xe7\xc7" + , vecAAD = + "\xc9\x88\x2e\x53\x86\xfd\x9f\x92\xec\x48\x9c\x8f\xde\x2b\xe2\xcf\x97\xe7\x4e\x93" + , vecKey = + "\xb3\xfe\xd1\x47\x3c\x52\x8b\x84\x26\xa5\x82\x99\x59\x29\xa1\x49" + , vecNonce = "\x9e\x9a\xd8\x78\x0c\x8d\x63\xd0\xab\x41\x49\xc0" + , vecTag = + "\xc1\xdc\x2f\x87\x1f\xb7\x56\x1d\xa1\x28\x6e\x65\x5e\x24\xb7\xb0" + , vecCiphertext = "\xf5\x46\x73\xc5\xdd\xf7\x10\xc7\x45\x64\x1c\x8b" + } + , Vector + { vecPlaintext = "\x0d\x8c\x84\x51\x17\x80\x82\x35\x5c\x9e\x94\x0f\xea\x2f\x58" + , vecAAD = + "\x29\x50\xa7\x0d\x5a\x1d\xb2\x31\x6f\xd5\x68\x37\x8d\xa1\x07\xb5\x2b\x0d\xa5\x52\x10\xcc\x1c\x1b\x0a" + , vecKey = + "\x2d\x4e\xd8\x7d\xa4\x41\x02\x95\x2e\xf9\x4b\x02\xb8\x05\x24\x9b" + , vecNonce = "\xac\x80\xe6\xf6\x14\x55\xbf\xac\x83\x08\xa2\xd4" + , vecTag = + "\x83\xb3\x44\x9b\x9f\x39\x55\x2d\xe9\x9d\xc2\x14\xa1\x19\x0b\x0b" + , vecCiphertext = "\xc9\xff\x54\x5e\x07\xb8\x8a\x01\x5f\x05\xb2\x74\x54\x0a\xa1" + } + , Vector + { vecPlaintext = + "\x6b\x3d\xb4\xda\x3d\x57\xaa\x94\x84\x2b\x98\x03\xa9\x6e\x07\xfb\x6d\xe7" + , vecAAD = + "\x18\x60\xf7\x62\xeb\xfb\xd0\x82\x84\xe4\x21\x70\x2d\xe0\xde\x18\xba\xa9\xc9\x59\x62\x91\xb0\x84\x66\xf3\x7d\xe2\x1c\x7f" + , vecKey = + "\xbd\xe3\xb2\xf2\x04\xd1\xe9\xf8\xb0\x6b\xc4\x7f\x97\x45\xb3\xd1" + , vecNonce = "\xae\x06\x55\x6f\xb6\xaa\x78\x90\xbe\xbc\x18\xfe" + , vecTag = + "\x3e\x37\x70\x94\xf0\x47\x09\xf6\x4d\x7b\x98\x53\x10\xa4\xdb\x84" + , vecCiphertext = + "\x62\x98\xb2\x96\xe2\x4e\x8c\xc3\x5d\xce\x0b\xed\x48\x4b\x7f\x30\xd5\x80" + } + , Vector + { vecPlaintext = + "\xe4\x2a\x3c\x02\xc2\x5b\x64\x86\x9e\x14\x6d\x7b\x23\x39\x87\xbd\xdf\xc2\x40\x87\x1d" + , vecAAD = + "\x75\x76\xf7\x02\x8e\xc6\xeb\x5e\xa7\xe2\x98\x34\x2a\x94\xd4\xb2\x02\xb3\x70\xef\x97\x68\xec\x65\x61\xc4\xfe\x6b\x7e\x72\x96\xfa\x85\x9c\x21" + , vecKey = + "\xf9\x01\xcf\xe8\xa6\x96\x15\xa9\x3f\xdf\x7a\x98\xca\xd4\x81\x79" + , vecNonce = "\x62\x45\x70\x9f\xb1\x88\x53\xf6\x8d\x83\x36\x40" + , vecTag = + "\x2d\x15\x50\x6c\x84\xa9\xed\xd6\x5e\x13\xe9\xd2\x4a\x2a\x6e\x70" + , vecCiphertext = + "\x39\x1c\xc3\x28\xd4\x84\xa4\xf4\x64\x06\x18\x1b\xcd\x62\xef\xd9\xb3\xee\x19\x7d\x05" + } + ] + +vectors256 :: [Vector AES256] +vectors256 = + [ Vector + { vecPlaintext = "" + , vecAAD = "" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\x07\xf5\xf4\x16\x9b\xbf\x55\xa8\x40\x0c\xd4\x7e\xa6\xfd\x40\x0f" + , vecCiphertext = "" + } + , Vector + { vecPlaintext = "\x01\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\x84\x31\x22\x13\x0f\x73\x64\xb7\x61\xe0\xb9\x74\x27\xe3\xdf\x28" + , vecCiphertext = "\xc2\xef\x32\x8e\x5c\x71\xc8\x3b" + } + , Vector + { vecPlaintext = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\x8c\xa5\x0d\xa9\xae\x65\x59\xe4\x8f\xd1\x0f\x6e\x5c\x9c\xa1\x7e" + , vecCiphertext = "\x9a\xab\x2a\xeb\x3f\xaa\x0a\x34\xae\xa8\xe2\xb1" + } + , Vector + { vecPlaintext = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\xc9\xea\xc6\xfa\x70\x09\x42\x70\x2e\x90\x86\x23\x83\xc6\xc3\x66" + , vecCiphertext = + "\x85\xa0\x1b\x63\x02\x5b\xa1\x9b\x7f\xd3\xdd\xfc\x03\x3b\x3e\x76" + } + , Vector + { vecPlaintext = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\xe8\x19\xe6\x3a\xbc\xd0\x20\xb0\x06\xa9\x76\x39\x76\x32\xeb\x5d" + , vecCiphertext = + "\x4a\x6a\x9d\xb4\xc8\xc6\x54\x92\x01\xb9\xed\xb5\x30\x06\xcb\xa8\x21\xec\x9c\xf8\x50\x94\x8a\x7c\x86\xc6\x8a\xc7\x53\x9d\x02\x7f" + } + , Vector + { vecPlaintext = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\x79\x0b\xc9\x68\x80\xa9\x9b\xa8\x04\xbd\x12\xc0\xe6\xa2\x2c\xc4" + , vecCiphertext = + "\xc0\x0d\x12\x18\x93\xa9\xfa\x60\x3f\x48\xcc\xc1\xca\x3c\x57\xce\x74\x99\x24\x5e\xa0\x04\x6d\xb1\x6c\x53\xc7\xc6\x6f\xe7\x17\xe3\x9c\xf6\xc7\x48\x83\x7b\x61\xf6\xee\x3a\xdc\xee\x17\x53\x4e\xd5" + } + , Vector + { vecPlaintext = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\x11\x28\x64\xc2\x69\xfc\x0d\x9d\x88\xc6\x1f\xa4\x7e\x39\xaa\x08" + , vecCiphertext = + "\xc2\xd5\x16\x0a\x1f\x86\x83\x83\x49\x10\xac\xda\xfc\x41\xfb\xb1\x63\x2d\x4a\x35\x3e\x8b\x90\x5e\xc9\xa5\x49\x9a\xc3\x4f\x96\xc7\xe1\x04\x9e\xb0\x80\x88\x38\x91\xa4\xdb\x8c\xaa\xa1\xf9\x9d\xd0\x04\xd8\x04\x87\x54\x07\x35\x23\x4e\x37\x44\x51\x2c\x6f\x90\xce" + } + , Vector + { vecPlaintext = "\x02\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "\x01" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\x91\x21\x3f\x26\x7e\x3b\x45\x2f\x02\xd0\x1a\xe3\x3e\x4e\xc8\x54" + , vecCiphertext = "\x1d\xe2\x29\x67\x23\x7a\x81\x32" + } + , Vector + { vecPlaintext = "\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "\x01" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\xc1\xa4\xa1\x9a\xe8\x00\x94\x1c\xcd\xc5\x7c\xc8\x41\x3c\x27\x7f" + , vecCiphertext = "\x16\x3d\x6f\x9c\xc1\xb3\x46\xcd\x45\x3a\x2e\x4c" + } + , Vector + { vecPlaintext = + "\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "\x01" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\xb2\x92\xd2\x8f\xf6\x11\x89\xe8\xe4\x9f\x38\x75\xef\x91\xaf\xf7" + , vecCiphertext = + "\xc9\x15\x45\x82\x3c\xc2\x4f\x17\xdb\xb0\xe9\xe8\x07\xd5\xec\x17" + } + , Vector + { vecPlaintext = + "\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "\x01" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\xae\xa1\xba\xd1\x27\x02\xe1\x96\x56\x04\x37\x4a\xab\x96\xdb\xbc" + , vecCiphertext = + "\x07\xda\xd3\x64\xbf\xc2\xb9\xda\x89\x11\x6d\x7b\xef\x6d\xaa\xaf\x6f\x25\x55\x10\xaa\x65\x4f\x92\x0a\xc8\x1b\x94\xe8\xba\xd3\x65" + } + , Vector + { vecPlaintext = + "\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "\x01" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\x03\x33\x27\x42\xb2\x28\xc6\x47\x17\x36\x16\xcf\xd4\x4c\x54\xeb" + , vecCiphertext = + "\xc6\x7a\x1f\x0f\x56\x7a\x51\x98\xaa\x1f\xcc\x8e\x3f\x21\x31\x43\x36\xf7\xf5\x1c\xa8\xb1\xaf\x61\xfe\xac\x35\xa8\x64\x16\xfa\x47\xfb\xca\x3b\x5f\x74\x9c\xdf\x56\x45\x27\xf2\x31\x4f\x42\xfe\x25" + } + , Vector + { vecPlaintext = + "\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x05\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "\x01" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\x5b\xde\x02\x85\x03\x7c\x5d\xe8\x1e\x5b\x57\x0a\x04\x9b\x62\xa0" + , vecCiphertext = + "\x67\xfd\x45\xe1\x26\xbf\xb9\xa7\x99\x30\xc4\x3a\xad\x2d\x36\x96\x7d\x3f\x0e\x4d\x21\x7c\x1e\x55\x1f\x59\x72\x78\x70\xbe\xef\xc9\x8c\xb9\x33\xa8\xfc\xe9\xde\x88\x7b\x1e\x40\x79\x99\x88\xdb\x1f\xc3\xf9\x18\x80\xed\x40\x5b\x2d\xd2\x98\x31\x88\x58\x46\x7c\x89" + } + , Vector + { vecPlaintext = "\x02\x00\x00\x00" + , vecAAD = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\x18\x35\xe5\x17\x74\x1d\xfd\xdc\xcf\xa0\x7f\xa4\x66\x1b\x74\xcf" + , vecCiphertext = "\x22\xb3\xf4\xcd" + } + , Vector + { vecPlaintext = + "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00\x00\x00" + , vecAAD = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\xb8\x79\xad\x97\x6d\x82\x42\xac\xc1\x88\xab\x59\xca\xbf\xe3\x07" + , vecCiphertext = + "\x43\xdd\x01\x63\xcd\xb4\x8f\x9f\xe3\x21\x2b\xf6\x1b\x20\x19\x76\x06\x7f\x34\x2b" + } + , Vector + { vecPlaintext = + "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00" + , vecAAD = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00\x00\x00" + , vecKey = + "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\xcf\xcd\xf5\x04\x21\x12\xaa\x29\x68\x5c\x91\x2f\xc2\x05\x65\x43" + , vecCiphertext = + "\x46\x24\x01\x72\x4b\x5c\xe6\x58\x8d\x5a\x54\xaa\xe5\x37\x55\x13\xa0\x75" + } + , Vector + { vecPlaintext = "" + , vecAAD = "" + , vecKey = + "\xe6\x60\x21\xd5\xeb\x8e\x4f\x40\x66\xd4\xad\xb9\xc3\x35\x60\xe4\xf4\x6e\x44\xbb\x3d\xa0\x01\x5c\x94\xf7\x08\x87\x36\x86\x42\x00" + , vecNonce = "\xe0\xea\xf5\x28\x4d\x88\x4a\x0e\x77\xd3\x16\x46" + , vecTag = + "\x16\x9f\xbb\x2f\xbf\x38\x9a\x99\x5f\x63\x90\xaf\x22\x22\x8a\x62" + , vecCiphertext = "" + } + , Vector + { vecPlaintext = "\x67\x1f\xdd" + , vecAAD = "\x4f\xbd\xc6\x6f\x14" + , vecKey = + "\xba\xe8\xe3\x7f\xc8\x34\x41\xb1\x60\x34\x56\x6b\x7a\x80\x6c\x46\xbb\x91\xc3\xc5\xae\xdb\x64\xa6\xc5\x90\xbc\x84\xd1\xa5\xe2\x69" + , vecNonce = "\xe4\xb4\x78\x01\xaf\xc0\x57\x7e\x34\x69\x9b\x9e" + , vecTag = + "\x93\xda\x9b\xb8\x13\x33\xae\xe0\xc7\x85\xb2\x40\xd3\x19\x71\x9d" + , vecCiphertext = "\x0e\xac\xcb" + } + , Vector + { vecPlaintext = "\x19\x54\x95\x86\x0f\x04" + , vecAAD = "\x67\x87\xf3\xea\x22\xc1\x27\xaa\xf1\x95" + , vecKey = + "\x65\x45\xfc\x88\x0c\x94\xa9\x51\x98\x87\x42\x96\xd5\xcc\x1f\xd1\x61\x32\x0b\x69\x20\xce\x07\x78\x7f\x86\x74\x3b\x27\x5d\x1a\xb3" + , vecNonce = "\x2f\x6d\x1f\x04\x34\xd8\x84\x8c\x11\x77\x44\x1f" + , vecTag = + "\x6b\x62\xb8\x4d\xc4\x0c\x84\x63\x6a\x5e\xc1\x20\x20\xec\x8c\x2c" + , vecCiphertext = "\xa2\x54\xda\xd4\xf3\xf9" + } + , Vector + { vecPlaintext = "\xc9\x88\x2e\x53\x86\xfd\x9f\x92\xec" + , vecAAD = "\x48\x9c\x8f\xde\x2b\xe2\xcf\x97\xe7\x4e\x93\x2d\x4e\xd8\x7d" + , vecKey = + "\xd1\x89\x47\x28\xb3\xfe\xd1\x47\x3c\x52\x8b\x84\x26\xa5\x82\x99\x59\x29\xa1\x49\x9e\x9a\xd8\x78\x0c\x8d\x63\xd0\xab\x41\x49\xc0" + , vecNonce = "\x9f\x57\x2c\x61\x4b\x47\x45\x91\x44\x74\xe7\xc7" + , vecTag = + "\xc0\xfd\x3d\xc6\x62\x8d\xfe\x55\xeb\xb0\xb9\xfb\x22\x95\xc8\xc2" + , vecCiphertext = "\x0d\xf9\xe3\x08\x67\x82\x44\xc4\x4b" + } + , Vector + { vecPlaintext = "\x1d\xb2\x31\x6f\xd5\x68\x37\x8d\xa1\x07\xb5\x2b" + , vecAAD = + "\x0d\xa5\x52\x10\xcc\x1c\x1b\x0a\xbd\xe3\xb2\xf2\x04\xd1\xe9\xf8\xb0\x6b\xc4\x7f" + , vecKey = + "\xa4\x41\x02\x95\x2e\xf9\x4b\x02\xb8\x05\x24\x9b\xac\x80\xe6\xf6\x14\x55\xbf\xac\x83\x08\xa2\xd4\x0d\x8c\x84\x51\x17\x80\x82\x35" + , vecNonce = "\x5c\x9e\x94\x0f\xea\x2f\x58\x29\x50\xa7\x0d\x5a" + , vecTag = + "\x40\x40\x99\xc2\x58\x7f\x64\x97\x9f\x21\x82\x67\x06\xd4\x97\xd5" + , vecCiphertext = "\x8d\xbe\xb9\xf7\x25\x5b\xf5\x76\x9d\xd5\x66\x92" + } + , Vector + { vecPlaintext = "\x21\x70\x2d\xe0\xde\x18\xba\xa9\xc9\x59\x62\x91\xb0\x84\x66" + , vecAAD = + "\xf3\x7d\xe2\x1c\x7f\xf9\x01\xcf\xe8\xa6\x96\x15\xa9\x3f\xdf\x7a\x98\xca\xd4\x81\x79\x62\x45\x70\x9f" + , vecKey = + "\x97\x45\xb3\xd1\xae\x06\x55\x6f\xb6\xaa\x78\x90\xbe\xbc\x18\xfe\x6b\x3d\xb4\xda\x3d\x57\xaa\x94\x84\x2b\x98\x03\xa9\x6e\x07\xfb" + , vecNonce = "\x6d\xe7\x18\x60\xf7\x62\xeb\xfb\xd0\x82\x84\xe4" + , vecTag = + "\xb3\x08\x0d\x28\xf6\xeb\xb5\xd3\x64\x8c\xe9\x7b\xd5\xba\x67\xfd" + , vecCiphertext = "\x79\x35\x76\xdf\xa5\xc0\xf8\x87\x29\xa7\xed\x3c\x2f\x1b\xff" + } + , Vector + { vecPlaintext = + "\xb2\x02\xb3\x70\xef\x97\x68\xec\x65\x61\xc4\xfe\x6b\x7e\x72\x96\xfa\x85" + , vecAAD = + "\x9c\x21\x59\x05\x8b\x1f\x0f\xe9\x14\x33\xa5\xbd\xc2\x0e\x21\x4e\xab\x7f\xec\xef\x44\x54\xa1\x0e\xf0\x65\x7d\xf2\x1a\xc7" + , vecKey = + "\xb1\x88\x53\xf6\x8d\x83\x36\x40\xe4\x2a\x3c\x02\xc2\x5b\x64\x86\x9e\x14\x6d\x7b\x23\x39\x87\xbd\xdf\xc2\x40\x87\x1d\x75\x76\xf7" + , vecNonce = "\x02\x8e\xc6\xeb\x5e\xa7\xe2\x98\x34\x2a\x94\xd4" + , vecTag = + "\x45\x4f\xc2\xa1\x54\xfe\xa9\x1f\x83\x63\xa3\x9f\xec\x7d\x0a\x49" + , vecCiphertext = + "\x85\x7e\x16\xa6\x49\x15\xa7\x87\x63\x76\x87\xdb\x4a\x95\x19\x63\x5c\xdd" + } + , Vector + { vecPlaintext = + "\xce\xd5\x32\xce\x41\x59\xb0\x35\x27\x7d\x4d\xfb\xb7\xdb\x62\x96\x8b\x13\xcd\x4e\xec" + , vecAAD = + "\x73\x43\x20\xcc\xc9\xd9\xbb\xbb\x19\xcb\x81\xb2\xaf\x4e\xcb\xc3\xe7\x28\x34\x32\x1f\x7a\xa0\xf7\x0b\x72\x82\xb4\xf3\x3d\xf2\x3f\x16\x75\x41" + , vecKey = + "\x3c\x53\x5d\xe1\x92\xea\xed\x38\x22\xa2\xfb\xbe\x2c\xa9\xdf\xc8\x82\x55\xe1\x4a\x66\x1b\x8a\xa8\x2c\xc5\x42\x36\x09\x3b\xbc\x23" + , vecNonce = "\x68\x80\x89\xe5\x55\x40\xdb\x18\x72\x50\x4e\x1c" + , vecTag = + "\x9d\x6c\x70\x29\x67\x5b\x89\xea\xf4\xba\x1d\xed\x1a\x28\x65\x94" + , vecCiphertext = + "\x62\x66\x60\xc2\x6e\xa6\x61\x2f\xb1\x7a\xd9\x1e\x8e\x76\x76\x39\xed\xd6\xc9\xfa\xee" + } + ] + +vectorsWrap256 :: [Vector AES256] +vectorsWrap256 = + [ Vector + { vecPlaintext = + "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x4d\xb9\x23\xdc\x79\x3e\xe6\x49\x7c\x76\xdc\xc0\x3a\x98\xe1\x08" + , vecAAD = "" + , vecKey = + "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\xff\xff\xff\xff\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecCiphertext = + "\xf3\xf8\x0f\x2c\xf0\xcb\x2d\xd9\xc5\x98\x4f\xcd\xa9\x08\x45\x6c\xc5\x37\x70\x3b\x5b\xa7\x03\x24\xa6\x79\x3a\x7b\xf2\x18\xd3\xea" + } + , Vector + { vecPlaintext = + "\xeb\x36\x40\x27\x7c\x7f\xfd\x13\x03\xc7\xa5\x42\xd0\x2d\x3e\x4c\x00\x00\x00\x00\x00\x00\x00\x00" + , vecAAD = "" + , vecKey = + "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecNonce = "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecTag = + "\xff\xff\xff\xff\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + , vecCiphertext = + "\x18\xce\x4f\x0b\x8c\xb4\xd0\xca\xc6\x5f\xea\x8f\x79\x25\x7b\x20\x88\x8e\x53\xe7\x22\x99\xe5\x6d" + } + ] + +makeEncryptionTest :: BlockCipher128 aes => Int -> Vector aes -> Spec +makeEncryptionTest i vec@Vector{..} = + it (show i) $ + encrypt (vecCipher vec) n vecAAD vecPlaintext `shouldBe` (t, vecCiphertext) + where + t = AuthTag (B.convert vecTag) + n = throwCryptoError (nonce vecNonce) + +makeDecryptionTest :: BlockCipher128 aes => Int -> Vector aes -> Spec +makeDecryptionTest i vec@Vector{..} = + it (show i) $ + decrypt (vecCipher vec) n vecAAD vecCiphertext t `shouldBe` Just vecPlaintext + where + t = AuthTag (B.convert vecTag) + n = throwCryptoError (nonce vecNonce) + +katTests + :: String + -> (forall c. BlockCipher128 c => Int -> Vector c -> Spec) + -> Spec +katTests name makeTest = + describe name $ do + describe "AES128" $ zipWithM_ makeTest [1 ..] vectors128 + describe "AES256" $ zipWithM_ makeTest [1 ..] vectors256 + describe "CounterWrap" $ zipWithM_ makeTest [1 ..] vectorsWrap256 + +newtype Key c = Key ByteString + deriving (Show, Eq) + +instance Arbitrary (Key AES128) where + arbitrary = Key <$> arbitraryBS 16 + +instance Arbitrary (Key AES256) where + arbitrary = Key <$> arbitraryBS 32 + +instance Arbitrary Nonce where + arbitrary = throwCryptoError . nonce <$> arbitraryBS 12 + +encDecTest + :: BlockCipher128 c + => Proxy c + -> Key c + -> Nonce + -> ArbitraryBS0_2901 + -> ArbitraryBS0_2901 + -> Property +encDecTest prx (Key key) iv (ArbitraryBS0_2901 aad) (ArbitraryBS0_2901 input) = + let c = throwCryptoError (cipherInit key) `asProxyTypeOf` prx + (tag, ciphertext) = encrypt c iv aad input + in decrypt c iv aad ciphertext tag === Just input + +spec :: Spec +spec = + describe "AES-GCM-SIV" $ do + describe "KATs" $ do + katTests "encrypt" makeEncryptionTest + katTests "decrypt" makeDecryptionTest + describe "properties" $ do + prop "AES128" $ encDecTest (Proxy :: Proxy AES128) + prop "AES256" $ encDecTest (Proxy :: Proxy AES256) diff --git a/tests/BlockCipher/AESSpec.hs b/tests/BlockCipher/AESSpec.hs new file mode 100644 --- /dev/null +++ b/tests/BlockCipher/AESSpec.hs @@ -0,0 +1,397 @@ +{-# LANGUAGE OverloadedStrings #-} + +module BlockCipher.AESSpec (spec) where + +import BlockCipher +import Control.Exception (evaluate) +import qualified Crypto.Cipher.AES as AES +import Crypto.Cipher.Types +import Crypto.Error +import Crypto.Hash (Digest, SHA256, hash) +import qualified Data.ByteArray as BA +import qualified Data.ByteString as B +import Data.Maybe +import Imports + +import qualified BlockCipher.AES.CBC as KATCBC +import qualified BlockCipher.AES.CCM as KATCCM +import qualified BlockCipher.AES.CTR as KATCTR +import qualified BlockCipher.AES.ECB as KATECB +import qualified BlockCipher.AES.GCM as KATGCM +import qualified BlockCipher.AES.GCMLong as KATGCMLong +import qualified BlockCipher.AES.OCB3 as KATOCB3 +import qualified BlockCipher.AES.XTS as KATXTS +import qualified Crypto.Cipher.AES.GCM as GCM +import Data.Bits (xor) +import Foreign.Marshal.Alloc (allocaBytes) +import Foreign.Ptr (castPtr) + +{- +instance Show AES.AES where + show _ = "AES" +instance Arbitrary AES.AESIV where + arbitrary = AES.aesIV_ . B.pack <$> replicateM 16 arbitrary +instance Arbitrary AES.AES where + arbitrary = AES.initAES . B.pack <$> replicateM 16 arbitrary +-} + +toKatECB (k, p, c) = KAT_ECB{ecbKey = k, ecbPlaintext = p, ecbCiphertext = c} +toKatCBC (k, iv, p, c) = KAT_CBC{cbcKey = k, cbcIV = iv, cbcPlaintext = p, cbcCiphertext = c} +toKatCTR (k, iv, p, c) = KAT_CTR{ctrKey = k, ctrIV = iv, ctrPlaintext = p, ctrCiphertext = c} +toKatXTS (k1, k2, iv, p, _, c) = + KAT_XTS + { xtsKey1 = k1 + , xtsKey2 = k2 + , xtsIV = iv + , xtsPlaintext = p + , xtsCiphertext = c + } +toKatAEAD mode (k, iv, h, p, c, taglen, tag) = + KAT_AEAD + { aeadMode = mode + , aeadKey = k + , aeadIV = iv + , aeadHeader = h + , aeadPlaintext = p + , aeadCiphertext = c + , aeadTaglen = taglen + , aeadTag = tag + } +toKatGCM = toKatAEAD AEAD_GCM +toKatOCB = toKatAEAD AEAD_OCB + +toKatCCM (k, iv, h, i, o, m) = + KAT_AEAD + { aeadMode = AEAD_CCM (B.length i) (ccmMVal m) CCM_L2 + , aeadKey = k + , aeadIV = iv + , aeadHeader = h + , aeadPlaintext = i + , aeadCiphertext = ct + , aeadTaglen = m + , aeadTag = at + } + where + ccmMVal x = + fromMaybe (error $ "unsupported CCM tag length: " ++ show x) $ + lookup + x + [ (4, CCM_M4) + , (6, CCM_M6) + , (8, CCM_M8) + , (10, CCM_M10) + , (12, CCM_M12) + , (14, CCM_M14) + , (16, CCM_M16) + ] + ctWithTag = B.drop (B.length h) o + (ct, at) = B.splitAt (B.length ctWithTag - m) ctWithTag + +kats128 = + defaultKATs + { kat_ECB = map toKatECB KATECB.vectors_aes128_enc + , kat_CBC = map toKatCBC KATCBC.vectors_aes128_enc + , kat_CTR = map toKatCTR KATCTR.vectors_aes128_enc + , kat_CFB = + [ KAT_CFB + { cfbKey = + "\x2b\x7e\x15\x16\x28\xae\xd2\xa6\xab\xf7\x15\x88\x09\xcf\x4f\x3c" + , cfbIV = + "\xC8\xA6\x45\x37\xA0\xB3\xA9\x3F\xCD\xE3\xCD\xAD\x9F\x1C\xE5\x8B" + , cfbPlaintext = + "\x30\xc8\x1c\x46\xa3\x5c\xe4\x11\xe5\xfb\xc1\x19\x1a\x0a\x52\xef" + , cfbCiphertext = + "\x26\x75\x1f\x67\xa3\xcb\xb1\x40\xb1\x80\x8c\xf1\x87\xa4\xf4\xdf" + } + ] + , kat_XTS = map toKatXTS KATXTS.vectors_aes128_enc + , kat_AEAD = + map toKatGCM KATGCM.vectors_aes128_enc + ++ map toKatOCB KATOCB3.vectors_aes128_enc + ++ map toKatCCM KATCCM.vectors_aes128_enc + } + +kats192 = + defaultKATs + { kat_ECB = map toKatECB KATECB.vectors_aes192_enc + , kat_CBC = map toKatCBC KATCBC.vectors_aes192_enc + , kat_CTR = map toKatCTR KATCTR.vectors_aes192_enc + , kat_AEAD = + map toKatGCM KATGCM.vectors_aes192_enc + ++ map toKatOCB KATOCB3.vectors_aes192_enc + ++ map toKatCCM KATCCM.vectors_aes192_enc + } + +kats256 = + defaultKATs + { kat_ECB = map toKatECB KATECB.vectors_aes256_enc + , kat_CBC = map toKatCBC KATCBC.vectors_aes256_enc + , kat_CTR = map toKatCTR KATCTR.vectors_aes256_enc + , kat_XTS = map toKatXTS KATXTS.vectors_aes256_enc + , kat_AEAD = + map toKatGCM KATGCM.vectors_aes256_enc + ++ map toKatOCB KATOCB3.vectors_aes256_enc + ++ map toKatCCM KATCCM.vectors_aes256_enc + } + +-- SP 800-38D 5.2.1.1: 1 <= len(IV) <= 2^64 - 1. A zero-length IV makes +-- J0 the GHASH of the empty string, which leaks the authentication key. +aeadIVLengthTests :: Spec +aeadIVLengthTests = + describe "AEAD IV length" $ do + it "96-bit IV accepted" $ + isRight (initWith (B.replicate 12 0)) `shouldBe` True + it "8-bit IV accepted" $ + isRight (initWith (B.replicate 1 0)) `shouldBe` True + it "empty IV rejected" $ + initWith B.empty `shouldBe` Left CryptoError_IvSizeInvalid + where + ctx = throwCryptoError (cipherInit (B.replicate 16 0)) :: AES.AES128 + initWith iv = + eitherCryptoError (() <$ aeadInit AEAD_GCM ctx (iv :: ByteString)) + isRight = either (const False) (const True) + +aeadTagLengthTests :: Spec +aeadTagLengthTests = + describe "AEAD tag length" $ do + it "full tag verifies" $ openWith fullTag `shouldBe` Just message + it "empty tag rejected" $ openWith B.empty `shouldBe` Nothing + it "1-byte tag rejected" $ openWith (B.take 1 fullTag) `shouldBe` Nothing + it "3-byte tag rejected" $ openWith (B.take 3 fullTag) `shouldBe` Nothing + it "wrong tag rejected" $ + openWith (B.map (+ 1) fullTag) `shouldBe` Nothing + -- a truncated tag is still at or above the minimum, so the length + -- taken from the tag is the peer's choice of how much to verify + it "4-byte tag accepted, since the tag sets the length" $ + openWith (B.take 4 fullTag) `shouldBe` Just message + it "tryAeadSimpleDecrypt verifies the full tag" $ + openWith' 16 fullTag `shouldBe` Just message + it "tryAeadSimpleDecrypt refuses a truncated tag" $ + openWith' 16 (B.take 4 fullTag) `shouldBe` Nothing + it "tryAeadSimpleDecrypt refuses an overlong tag" $ + openWith' 16 (fullTag `B.append` B.singleton 0) `shouldBe` Nothing + it "tryAeadSimpleDecrypt refuses a length below the minimum" $ + openWith' 3 (B.take 3 fullTag) `shouldBe` Nothing + it "tryAeadSimpleDecrypt verifies a short tag the caller asked for" $ + openWith' 8 (B.take 8 fullTag) `shouldBe` Just message + it "tryAeadSimpleDecrypt refuses a wrong tag" $ + openWith' 16 (B.map (+ 1) fullTag) `shouldBe` Nothing + where + key = B.replicate 16 0 + iv = B.replicate 12 0 + aad = "additional data" :: ByteString + message = "authenticated message" :: ByteString + ctx = throwCryptoError (cipherInit key) :: AES.AES128 + aead = throwCryptoError (aeadInit AEAD_GCM ctx iv) + (AuthTag tag, ciphertext) = aeadSimpleEncrypt aead aad message 16 + fullTag = BA.convert tag :: ByteString + openWith t = aeadSimpleDecrypt aead aad ciphertext (AuthTag (BA.convert t)) + openWith' n t = tryAeadSimpleDecrypt aead aad ciphertext n (AuthTag (BA.convert t)) + +-- The bulk loops -- eight blocks at a time under AES-NI, six at a time in +-- the assembly -- only start once the message is long enough to fill them, +-- and what they leave over goes down a different path. These lengths sit +-- either side of each of those boundaries, so a group that hashes the wrong +-- blocks or a tail that is picked up at the wrong offset shows up here. +gcmLongTests :: Spec +gcmLongTests = + describe "GCM long messages" $ mapM_ test KATGCMLong.vectors + where + test v@(klen, aadlen, ptlen, _, _) = + it + ( show klen + ++ "-byte key, " + ++ show aadlen + ++ "-byte AAD, " + ++ show ptlen + ++ "-byte message" + ) + $ case klen of + 16 -> run (undefined :: AES.AES128) v + 24 -> run (undefined :: AES.AES192) v + _ -> run (undefined :: AES.AES256) v + run + :: BlockCipher cipher + => cipher + -> KATGCMLong.KATGCMLong + -> Expectation + run cipherWitness (klen, aadlen, ptlen, tag, ctHash) = do + BA.convert authTag `shouldBe` tag + digest ciphertext `shouldBe` ctHash + aeadSimpleDecrypt aead aad ciphertext authTag `shouldBe` Just plaintext + where + cipher = + throwCryptoError (cipherInit (KATGCMLong.gcmKey klen)) `asTypeOf` cipherWitness + aead = throwCryptoError (aeadInit AEAD_GCM cipher KATGCMLong.gcmIV) + aad = KATGCMLong.gcmAAD aadlen + plaintext = KATGCMLong.gcmPlaintext ptlen + (authTag, ciphertext) = aeadSimpleEncrypt aead aad plaintext 16 + digest bs = BA.convert (hash bs :: Digest SHA256) :: ByteString + +-- | Crypto.Cipher.AES.GCM builds the key part of the state once and does a +-- whole message in one call. It has to answer exactly what the general +-- interface answers, so it is run over the same vectors, and a tampered +-- message has to come back as Nothing rather than as plaintext. +oneShotTests :: Spec +oneShotTests = describe "Crypto.Cipher.AES.GCM" $ do + describe "agrees with the general interface" $ do + run "AES-128" KATGCM.vectors_aes128_enc + run "AES-192" KATGCM.vectors_aes192_enc + run "AES-256" KATGCM.vectors_aes256_enc + describe "decryptWithTag hands back the tag encrypt made" $ do + runTag "AES-128" KATGCM.vectors_aes128_enc + runTag "AES-192" KATGCM.vectors_aes192_enc + runTag "AES-256" KATGCM.vectors_aes256_enc + it "decryptWithTag gives a different tag for a tampered ciphertext" $ + let ctx = ctx16 + sealed = GCM.encrypt ctx iv16 B.empty message 16 :: B.ByteString + body = B.take (B.length sealed - 16) sealed + tag = AuthTag (BA.convert (B.drop (B.length sealed - 16) sealed)) + (_, tag') = + GCM.decryptWithTag ctx iv16 B.empty (flipFirst body) 16 + :: (B.ByteString, AuthTag) + in tag' `shouldSatisfy` (/= tag) + describe "refuses a message that was interfered with" $ do + it "a flipped bit in the tag" $ tamper (\(c, t) -> (c, flipFirst t)) + it "a flipped bit in the ciphertext" $ tamper (\(c, t) -> (flipFirst c, t)) + it "refuses input shorter than the tag" $ + (GCM.decrypt ctx16 iv16 B.empty (B.replicate 8 0) 16 :: Maybe B.ByteString) + `shouldBe` Nothing + it "refuses a ciphertext with no authentication tag" $ + let sealed = GCM.encrypt ctx16 iv16 header message 16 :: B.ByteString + body = B.take (B.length sealed - 16) sealed + in (GCM.decrypt ctx16 iv16 header body 0 :: Maybe B.ByteString) + `shouldBe` Nothing + it "does not authenticate an altered ciphertext with a zero-length tag" $ + let sealed = GCM.encrypt ctx16 iv16 header message 16 :: B.ByteString + body = B.take (B.length sealed - 16) sealed + in (GCM.decrypt ctx16 iv16 header (flipFirst body) 0 :: Maybe B.ByteString) + `shouldBe` Nothing + -- Shorter than four bytes the tag authenticates next to nothing, and + -- longer than sixteen there is no more tag for GCM to give. + describe "refuses a tag length outside 4 to 16 bytes" $ + forM_ [0, 3, 17 :: Int] $ \taglen -> describe (show taglen) $ do + it "encrypt" $ + evaluate (GCM.encrypt ctx16 iv16 header message taglen :: B.ByteString) + `shouldThrow` (== CryptoError_AuthenticationTagSizeInvalid) + it "decrypt" $ + (GCM.decrypt ctx16 iv16 header plainSealed taglen :: Maybe B.ByteString) + `shouldBe` Nothing + it "decryptWithTag" $ + evaluate + ( GCM.decryptWithTag ctx16 iv16 header message taglen + :: (B.ByteString, AuthTag) + ) + `shouldThrow` (== CryptoError_AuthenticationTagSizeInvalid) + it "encryptWithMask" $ + withMaskTag taglen 0 `shouldReturn` Nothing + -- SP 800-38D 5.2.1.1 wants at least one byte of IV. With none, GCM's + -- pre-counter block is zero and the tag of a message is + -- GHASH_H(A, C) XOR E(K, 0^128) -- and E(K, 0^128) is the GHASH key H + -- itself. One full tag therefore gives H away, H belongs to the key + -- rather than to the nonce, and with it a tag can be forged for any + -- message under any nonce the key has been used with, twelve-byte ones + -- included. The general interface has refused the empty IV since + -- f98cff3 and these four did not. + describe "refuses a nonce of no bytes" $ do + it "encrypt" $ + evaluate (GCM.encrypt ctx16 B.empty header message 16 :: B.ByteString) + `shouldThrow` (== CryptoError_IvSizeInvalid) + -- a message that really is sealed under the empty nonce, so that this + -- says something whether or not `encrypt` refuses one: before the + -- check, `decrypt` returned the sixteen bytes of plaintext for it + it "decrypt, on a message that is genuine under it" $ + (GCM.decrypt ctx16 B.empty header emptyNonceSealed 16 :: Maybe B.ByteString) + `shouldBe` Nothing + it "decryptWithTag" $ + evaluate + ( GCM.decryptWithTag ctx16 B.empty header message 16 + :: (B.ByteString, AuthTag) + ) + `shouldThrow` (== CryptoError_IvSizeInvalid) + it "encryptWithMask, writing nothing" $ + withMaskIv B.empty 16 4 `shouldReturn` Nothing + -- and only the empty one: SP 800-38D allows every length from one byte up, + -- so this must not become a check for twelve + it "takes a nonce of one byte" $ + let iv1 = B.singleton 0x77 + sealed = GCM.encrypt ctx16 iv1 header message 16 :: B.ByteString + in (GCM.decrypt ctx16 iv1 header sealed 16 :: Maybe B.ByteString) + `shouldBe` Just message + describe "header protection" $ do + it "writes the ciphertext encrypt gives" $ + withMask 4 `shouldReturn` Just (plainSealed, expectedMask 4) + it "and at another offset" $ + withMask 0 `shouldReturn` Just (plainSealed, expectedMask 0) + it "refuses a sample that does not fit, writing nothing" $ do + withMask (B.length plainSealed - 15) `shouldReturn` Nothing + withMask (-1) `shouldReturn` Nothing + where + run name vs = + it name $ + [ (key, iv) + | (key, iv, aad, input, out, taglen, tag) <- vs + , let ctx = throwCryptoError (GCM.newContext key) + , let sealed = GCM.encrypt ctx iv aad input taglen :: B.ByteString + , sealed /= out `B.append` tag + || GCM.decrypt ctx iv aad sealed taglen /= Just input + ] + `shouldBe` [] + -- The tag decryptWithTag computes has to be the one encrypt appended, and + -- the body it returns the one decrypt returns, over the same vectors. + runTag name vs = + it name $ + [ (key, iv) + | (key, iv, aad, input, out, taglen, tag) <- vs + , let ctx = throwCryptoError (GCM.newContext key) + , let (body, tag') = + GCM.decryptWithTag ctx iv aad out taglen + :: (B.ByteString, AuthTag) + , body /= input || tag' /= AuthTag (BA.convert tag) + ] + `shouldBe` [] + ctx16 = throwCryptoError (GCM.newContext (B.replicate 16 0x2b)) + iv16 = B.replicate 12 0x77 + -- header protection keeps a key of its own, as QUIC does + hpKeyBytes = B.replicate 16 0x9c + hpKey = throwCryptoError (GCM.newHeaderKey hpKeyBytes) + hpAes = throwCryptoError (cipherInit hpKeyBytes) :: AES.AES128 + message = "a packet payload" :: B.ByteString + header = "\x40\x01\x02\x03" :: B.ByteString + plainSealed = GCM.encrypt ctx16 iv16 header message 16 :: B.ByteString + -- ctx16, no nonce at all, `header` as the additional data and `message` + -- as the plaintext, taken from the tree before the check went in + emptyNonceSealed = + "\x09\x25\xea\x53\x9b\x98\xf1\x0e\x02\x5f\x8a\x70\x8d\xf4\x6d\xb2\xf2\xce\x43\x31\x67\x12\x32\xef\x29\xcc\x69\x52\x12\x98\xd1\xf3" + :: B.ByteString + -- the buffers the caller owns, as a packet writer would have them + withMask = withMaskTag 16 + withMaskTag = withMaskIv iv16 + withMaskIv iv taglen off = + allocaBytes (B.length message + taglen) $ \outp -> + allocaBytes 16 $ \maskp -> do + ok <- GCM.encryptWithMask ctx16 hpKey iv header message taglen off outp maskp + if ok + then do + sealed <- B.packCStringLen (castPtr outp, B.length message + taglen) + mask <- B.packCStringLen (castPtr maskp, 16) + return (Just (sealed, mask)) + else return Nothing + expectedMask off = ecbEncrypt hpAes (B.take 16 (B.drop off plainSealed)) + flipFirst b = B.cons (B.head b `xor` 1) (B.tail b) + tamper f = + let sealed = GCM.encrypt ctx16 iv16 B.empty ("hello there" :: B.ByteString) 16 + (c, t) = B.splitAt (B.length sealed - 16) sealed + (c', t') = f (c, t) + in (GCM.decrypt ctx16 iv16 B.empty (c' `B.append` t') 16 :: Maybe B.ByteString) + `shouldBe` Nothing + +spec :: Spec +spec = do + testBlockCipher128 kats128 (undefined :: AES.AES128) + testBlockCipher128 kats192 (undefined :: AES.AES192) + testBlockCipher128 kats256 (undefined :: AES.AES256) + aeadIVLengthTests + aeadTagLengthTests + gcmLongTests + oneShotTests diff --git a/tests/BlockCipher/BlowfishSpec.hs b/tests/BlockCipher/BlowfishSpec.hs new file mode 100644 --- /dev/null +++ b/tests/BlockCipher/BlowfishSpec.hs @@ -0,0 +1,153 @@ +{-# LANGUAGE OverloadedStrings #-} + +module BlockCipher.BlowfishSpec where + +import BlockCipher +import Crypto.Cipher.Blowfish +import Imports () +import Test.Hspec (Spec) + +vectors_ecb = + -- key plaintext cipher + [ KAT_ECB + "\x00\x00\x00\x00\x00\x00\x00\x00" + "\x00\x00\x00\x00\x00\x00\x00\x00" + "\x4E\xF9\x97\x45\x61\x98\xDD\x78" + , KAT_ECB + "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF" + "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF" + "\x51\x86\x6F\xD5\xB8\x5E\xCB\x8A" + , KAT_ECB + "\x30\x00\x00\x00\x00\x00\x00\x00" + "\x10\x00\x00\x00\x00\x00\x00\x01" + "\x7D\x85\x6F\x9A\x61\x30\x63\xF2" + , KAT_ECB + "\x11\x11\x11\x11\x11\x11\x11\x11" + "\x11\x11\x11\x11\x11\x11\x11\x11" + "\x24\x66\xDD\x87\x8B\x96\x3C\x9D" + , KAT_ECB + "\x01\x23\x45\x67\x89\xAB\xCD\xEF" + "\x11\x11\x11\x11\x11\x11\x11\x11" + "\x61\xF9\xC3\x80\x22\x81\xB0\x96" + , KAT_ECB + "\x11\x11\x11\x11\x11\x11\x11\x11" + "\x01\x23\x45\x67\x89\xAB\xCD\xEF" + "\x7D\x0C\xC6\x30\xAF\xDA\x1E\xC7" + , KAT_ECB + "\x00\x00\x00\x00\x00\x00\x00\x00" + "\x00\x00\x00\x00\x00\x00\x00\x00" + "\x4E\xF9\x97\x45\x61\x98\xDD\x78" + , KAT_ECB + "\xFE\xDC\xBA\x98\x76\x54\x32\x10" + "\x01\x23\x45\x67\x89\xAB\xCD\xEF" + "\x0A\xCE\xAB\x0F\xC6\xA0\xA2\x8D" + , KAT_ECB + "\x7C\xA1\x10\x45\x4A\x1A\x6E\x57" + "\x01\xA1\xD6\xD0\x39\x77\x67\x42" + "\x59\xC6\x82\x45\xEB\x05\x28\x2B" + , KAT_ECB + "\x01\x31\xD9\x61\x9D\xC1\x37\x6E" + "\x5C\xD5\x4C\xA8\x3D\xEF\x57\xDA" + "\xB1\xB8\xCC\x0B\x25\x0F\x09\xA0" + , KAT_ECB + "\x07\xA1\x13\x3E\x4A\x0B\x26\x86" + "\x02\x48\xD4\x38\x06\xF6\x71\x72" + "\x17\x30\xE5\x77\x8B\xEA\x1D\xA4" + , KAT_ECB + "\x38\x49\x67\x4C\x26\x02\x31\x9E" + "\x51\x45\x4B\x58\x2D\xDF\x44\x0A" + "\xA2\x5E\x78\x56\xCF\x26\x51\xEB" + , KAT_ECB + "\x04\xB9\x15\xBA\x43\xFE\xB5\xB6" + "\x42\xFD\x44\x30\x59\x57\x7F\xA2" + "\x35\x38\x82\xB1\x09\xCE\x8F\x1A" + , KAT_ECB + "\x01\x13\xB9\x70\xFD\x34\xF2\xCE" + "\x05\x9B\x5E\x08\x51\xCF\x14\x3A" + "\x48\xF4\xD0\x88\x4C\x37\x99\x18" + , KAT_ECB + "\x01\x70\xF1\x75\x46\x8F\xB5\xE6" + "\x07\x56\xD8\xE0\x77\x47\x61\xD2" + "\x43\x21\x93\xB7\x89\x51\xFC\x98" + , KAT_ECB + "\x43\x29\x7F\xAD\x38\xE3\x73\xFE" + "\x76\x25\x14\xB8\x29\xBF\x48\x6A" + "\x13\xF0\x41\x54\xD6\x9D\x1A\xE5" + , KAT_ECB + "\x07\xA7\x13\x70\x45\xDA\x2A\x16" + "\x3B\xDD\x11\x90\x49\x37\x28\x02" + "\x2E\xED\xDA\x93\xFF\xD3\x9C\x79" + , KAT_ECB + "\x04\x68\x91\x04\xC2\xFD\x3B\x2F" + "\x26\x95\x5F\x68\x35\xAF\x60\x9A" + "\xD8\x87\xE0\x39\x3C\x2D\xA6\xE3" + , KAT_ECB + "\x37\xD0\x6B\xB5\x16\xCB\x75\x46" + "\x16\x4D\x5E\x40\x4F\x27\x52\x32" + "\x5F\x99\xD0\x4F\x5B\x16\x39\x69" + , KAT_ECB + "\x1F\x08\x26\x0D\x1A\xC2\x46\x5E" + "\x6B\x05\x6E\x18\x75\x9F\x5C\xCA" + "\x4A\x05\x7A\x3B\x24\xD3\x97\x7B" + , KAT_ECB + "\x58\x40\x23\x64\x1A\xBA\x61\x76" + "\x00\x4B\xD6\xEF\x09\x17\x60\x62" + "\x45\x20\x31\xC1\xE4\xFA\xDA\x8E" + , KAT_ECB + "\x02\x58\x16\x16\x46\x29\xB0\x07" + "\x48\x0D\x39\x00\x6E\xE7\x62\xF2" + "\x75\x55\xAE\x39\xF5\x9B\x87\xBD" + , KAT_ECB + "\x49\x79\x3E\xBC\x79\xB3\x25\x8F" + "\x43\x75\x40\xC8\x69\x8F\x3C\xFA" + "\x53\xC5\x5F\x9C\xB4\x9F\xC0\x19" + , KAT_ECB + "\x4F\xB0\x5E\x15\x15\xAB\x73\xA7" + "\x07\x2D\x43\xA0\x77\x07\x52\x92" + "\x7A\x8E\x7B\xFA\x93\x7E\x89\xA3" + , KAT_ECB + "\x49\xE9\x5D\x6D\x4C\xA2\x29\xBF" + "\x02\xFE\x55\x77\x81\x17\xF1\x2A" + "\xCF\x9C\x5D\x7A\x49\x86\xAD\xB5" + , KAT_ECB + "\x01\x83\x10\xDC\x40\x9B\x26\xD6" + "\x1D\x9D\x5C\x50\x18\xF7\x28\xC2" + "\xD1\xAB\xB2\x90\x65\x8B\xC7\x78" + , KAT_ECB + "\x1C\x58\x7F\x1C\x13\x92\x4F\xEF" + "\x30\x55\x32\x28\x6D\x6F\x29\x5A" + "\x55\xCB\x37\x74\xD1\x3E\xF2\x01" + , KAT_ECB + "\x01\x01\x01\x01\x01\x01\x01\x01" + "\x01\x23\x45\x67\x89\xAB\xCD\xEF" + "\xFA\x34\xEC\x48\x47\xB2\x68\xB2" + , KAT_ECB + "\x1F\x1F\x1F\x1F\x0E\x0E\x0E\x0E" + "\x01\x23\x45\x67\x89\xAB\xCD\xEF" + "\xA7\x90\x79\x51\x08\xEA\x3C\xAE" + , KAT_ECB + "\xE0\xFE\xE0\xFE\xF1\xFE\xF1\xFE" + "\x01\x23\x45\x67\x89\xAB\xCD\xEF" + "\xC3\x9E\x07\x2D\x9F\xAC\x63\x1D" + , KAT_ECB + "\x00\x00\x00\x00\x00\x00\x00\x00" + "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF" + "\x01\x49\x33\xE0\xCD\xAF\xF6\xE4" + , KAT_ECB + "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF" + "\x00\x00\x00\x00\x00\x00\x00\x00" + "\xF2\x1E\x9A\x77\xB7\x1C\x49\xBC" + , KAT_ECB + "\x01\x23\x45\x67\x89\xAB\xCD\xEF" + "\x00\x00\x00\x00\x00\x00\x00\x00" + "\x24\x59\x46\x88\x57\x54\x36\x9A" + , KAT_ECB + "\xFE\xDC\xBA\x98\x76\x54\x32\x10" + "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF" + "\x6B\x5C\x5A\x9C\x5D\x9E\x0A\x5A" + ] + +kats = defaultKATs{kat_ECB = vectors_ecb} + +spec :: Spec +spec = testBlockCipher kats (undefined :: Blowfish64) diff --git a/tests/BlockCipher/CAST5Spec.hs b/tests/BlockCipher/CAST5Spec.hs new file mode 100644 --- /dev/null +++ b/tests/BlockCipher/CAST5Spec.hs @@ -0,0 +1,28 @@ +{-# LANGUAGE OverloadedStrings #-} + +module BlockCipher.CAST5Spec (spec) where + +import BlockCipher +import qualified Crypto.Cipher.CAST5 as CAST5 +import Test.Hspec (Spec) + +vectors_ecb = + -- key plaintext ciphertext + [ KAT_ECB + "\x01\x23\x45\x67\x12\x34\x56\x78\x23\x45\x67\x89\x34\x56\x78\x9A" + "\x01\x23\x45\x67\x89\xAB\xCD\xEF" + "\x23\x8B\x4F\xE5\x84\x7E\x44\xB2" + , KAT_ECB + "\x01\x23\x45\x67\x12\x34\x56\x78\x23\x45" + "\x01\x23\x45\x67\x89\xAB\xCD\xEF" + "\xEB\x6A\x71\x1A\x2C\x02\x27\x1B" + , KAT_ECB + "\x01\x23\x45\x67\x12" + "\x01\x23\x45\x67\x89\xAB\xCD\xEF" + "\x7A\xC8\x16\xD1\x6E\x9B\x30\x2E" + ] + +kats = defaultKATs{kat_ECB = vectors_ecb} + +spec :: Spec +spec = testBlockCipher kats (undefined :: CAST5.CAST5) diff --git a/tests/BlockCipher/CamelliaSpec.hs b/tests/BlockCipher/CamelliaSpec.hs new file mode 100644 --- /dev/null +++ b/tests/BlockCipher/CamelliaSpec.hs @@ -0,0 +1,280 @@ +{-# LANGUAGE OverloadedStrings #-} +{-# LANGUAGE ViewPatterns #-} +{-# OPTIONS_GHC -fno-warn-unused-binds #-} +{-# OPTIONS_GHC -fno-warn-unused-matches #-} + +module BlockCipher.CamelliaSpec (spec) where + +import BlockCipher +import Imports () +import Test.Hspec + +import Control.Exception (evaluate) +import Crypto.Cipher.Camellia +import Crypto.Cipher.Types +import Crypto.Error (throwCryptoError) +import qualified Data.ByteString as B + +vectors_camellia128 = + [ KAT_ECB + (B.replicate 16 0) + (B.replicate 16 0) + ( B.pack + [ 0x3d + , 0x02 + , 0x80 + , 0x25 + , 0xb1 + , 0x56 + , 0x32 + , 0x7c + , 0x17 + , 0xf7 + , 0x62 + , 0xc1 + , 0xf2 + , 0xcb + , 0xca + , 0x71 + ] + ) + , KAT_ECB + ( B.pack + [ 0x01 + , 0x23 + , 0x45 + , 0x67 + , 0x89 + , 0xab + , 0xcd + , 0xef + , 0xfe + , 0xdc + , 0xba + , 0x98 + , 0x76 + , 0x54 + , 0x32 + , 0x10 + ] + ) + ( B.pack + [ 0x01 + , 0x23 + , 0x45 + , 0x67 + , 0x89 + , 0xab + , 0xcd + , 0xef + , 0xfe + , 0xdc + , 0xba + , 0x98 + , 0x76 + , 0x54 + , 0x32 + , 0x10 + ] + ) + ( B.pack + [ 0x67 + , 0x67 + , 0x31 + , 0x38 + , 0x54 + , 0x96 + , 0x69 + , 0x73 + , 0x08 + , 0x57 + , 0x06 + , 0x56 + , 0x48 + , 0xea + , 0xbe + , 0x43 + ] + ) + ] + +vectors_camellia192 = + [ KAT_ECB + ( B.pack + [ 0x01 + , 0x23 + , 0x45 + , 0x67 + , 0x89 + , 0xab + , 0xcd + , 0xef + , 0xfe + , 0xdc + , 0xba + , 0x98 + , 0x76 + , 0x54 + , 0x32 + , 0x10 + , 0x00 + , 0x11 + , 0x22 + , 0x33 + , 0x44 + , 0x55 + , 0x66 + , 0x77 + ] + ) + ( B.pack + [ 0x01 + , 0x23 + , 0x45 + , 0x67 + , 0x89 + , 0xab + , 0xcd + , 0xef + , 0xfe + , 0xdc + , 0xba + , 0x98 + , 0x76 + , 0x54 + , 0x32 + , 0x10 + ] + ) + ( B.pack + [ 0xb4 + , 0x99 + , 0x34 + , 0x01 + , 0xb3 + , 0xe9 + , 0x96 + , 0xf8 + , 0x4e + , 0xe5 + , 0xce + , 0xe7 + , 0xd7 + , 0x9b + , 0x09 + , 0xb9 + ] + ) + ] + +vectors_camellia256 = + [ KAT_ECB + ( B.pack + [ 0x01 + , 0x23 + , 0x45 + , 0x67 + , 0x89 + , 0xab + , 0xcd + , 0xef + , 0xfe + , 0xdc + , 0xba + , 0x98 + , 0x76 + , 0x54 + , 0x32 + , 0x10 + , 0x00 + , 0x11 + , 0x22 + , 0x33 + , 0x44 + , 0x55 + , 0x66 + , 0x77 + , 0x88 + , 0x99 + , 0xaa + , 0xbb + , 0xcc + , 0xdd + , 0xee + , 0xff + ] + ) + ( B.pack + [ 0x01 + , 0x23 + , 0x45 + , 0x67 + , 0x89 + , 0xab + , 0xcd + , 0xef + , 0xfe + , 0xdc + , 0xba + , 0x98 + , 0x76 + , 0x54 + , 0x32 + , 0x10 + ] + ) + ( B.pack + [ 0x9a + , 0xcc + , 0x23 + , 0x7d + , 0xff + , 0x16 + , 0xd7 + , 0x6c + , 0x20 + , 0xef + , 0x7c + , 0x91 + , 0x9e + , 0x3a + , 0x75 + , 0x09 + ] + ) + ] + +kats128 = defaultKATs{kat_ECB = vectors_camellia128} +kats192 = defaultKATs{kat_ECB = vectors_camellia192} +kats256 = defaultKATs{kat_ECB = vectors_camellia256} + +-- | Every vector here is one block long. ECB is the block operation applied +-- to each block and nothing else, so say that too, and say what happens to a +-- message that is not whole blocks. +manyBlockTests :: Spec +manyBlockTests = + describe "several blocks" $ do + it "ECB of a message is ECB of its blocks" $ + ecbEncrypt ctx message `shouldBe` B.concat (map (ecbEncrypt ctx) blocks) + it "and the same going back" $ + ecbDecrypt ctx cipherText + `shouldBe` B.concat (map (ecbDecrypt ctx) cipherBlocks) + it "a message of 64 KiB still decrypts to itself" $ + ecbDecrypt ctx (ecbEncrypt ctx big) `shouldBe` big + it "a message that is not whole blocks is refused" $ + -- the tail of the answer used to be whatever was in the buffer it + -- was allocated in + evaluate (B.length (ecbEncrypt ctx (B.take 20 message))) + `shouldThrow` anyErrorCall + where + ctx = throwCryptoError (cipherInit (B.replicate 16 0x2b)) :: Camellia128 + message = B.pack (map fromIntegral [1 .. 80 :: Int]) + blocks = [B.take 16 (B.drop i message) | i <- [0, 16 .. 64]] + cipherText = ecbEncrypt ctx message + cipherBlocks = [B.take 16 (B.drop i cipherText) | i <- [0, 16 .. 64]] + big = B.concat (replicate 819 message) + +spec :: Spec +spec = do + testBlockCipher kats128 (undefined :: Camellia128) + manyBlockTests diff --git a/tests/BlockCipher/DESSpec.hs b/tests/BlockCipher/DESSpec.hs new file mode 100644 --- /dev/null +++ b/tests/BlockCipher/DESSpec.hs @@ -0,0 +1,155 @@ +{-# LANGUAGE OverloadedStrings #-} +{-# LANGUAGE ViewPatterns #-} + +module BlockCipher.DESSpec (spec) where + +import BlockCipher +import qualified Crypto.Cipher.DES as DES +import Imports + +vectors_ecb = + -- key plaintext ciphertext + [ KAT_ECB + "\x00\x00\x00\x00\x00\x00\x00\x00" + "\x00\x00\x00\x00\x00\x00\x00\x00" + "\x8C\xA6\x4D\xE9\xC1\xB1\x23\xA7" + , KAT_ECB + "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF" + "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF" + "\x73\x59\xB2\x16\x3E\x4E\xDC\x58" + , KAT_ECB + "\x30\x00\x00\x00\x00\x00\x00\x00" + "\x10\x00\x00\x00\x00\x00\x00\x01" + "\x95\x8E\x6E\x62\x7A\x05\x55\x7B" + , KAT_ECB + "\x11\x11\x11\x11\x11\x11\x11\x11" + "\x11\x11\x11\x11\x11\x11\x11\x11" + "\xF4\x03\x79\xAB\x9E\x0E\xC5\x33" + , KAT_ECB + "\x01\x23\x45\x67\x89\xAB\xCD\xEF" + "\x11\x11\x11\x11\x11\x11\x11\x11" + "\x17\x66\x8D\xFC\x72\x92\x53\x2D" + , KAT_ECB + "\x11\x11\x11\x11\x11\x11\x11\x11" + "\x01\x23\x45\x67\x89\xAB\xCD\xEF" + "\x8A\x5A\xE1\xF8\x1A\xB8\xF2\xDD" + , KAT_ECB + "\x00\x00\x00\x00\x00\x00\x00\x00" + "\x00\x00\x00\x00\x00\x00\x00\x00" + "\x8C\xA6\x4D\xE9\xC1\xB1\x23\xA7" + , KAT_ECB + "\xFE\xDC\xBA\x98\x76\x54\x32\x10" + "\x01\x23\x45\x67\x89\xAB\xCD\xEF" + "\xED\x39\xD9\x50\xFA\x74\xBC\xC4" + , KAT_ECB + "\x7C\xA1\x10\x45\x4A\x1A\x6E\x57" + "\x01\xA1\xD6\xD0\x39\x77\x67\x42" + "\x69\x0F\x5B\x0D\x9A\x26\x93\x9B" + , KAT_ECB + "\x01\x31\xD9\x61\x9D\xC1\x37\x6E" + "\x5C\xD5\x4C\xA8\x3D\xEF\x57\xDA" + "\x7A\x38\x9D\x10\x35\x4B\xD2\x71" + , KAT_ECB + "\x07\xA1\x13\x3E\x4A\x0B\x26\x86" + "\x02\x48\xD4\x38\x06\xF6\x71\x72" + "\x86\x8E\xBB\x51\xCA\xB4\x59\x9A" + , KAT_ECB + "\x38\x49\x67\x4C\x26\x02\x31\x9E" + "\x51\x45\x4B\x58\x2D\xDF\x44\x0A" + "\x71\x78\x87\x6E\x01\xF1\x9B\x2A" + , KAT_ECB + "\x04\xB9\x15\xBA\x43\xFE\xB5\xB6" + "\x42\xFD\x44\x30\x59\x57\x7F\xA2" + "\xAF\x37\xFB\x42\x1F\x8C\x40\x95" + , KAT_ECB + "\x01\x13\xB9\x70\xFD\x34\xF2\xCE" + "\x05\x9B\x5E\x08\x51\xCF\x14\x3A" + "\x86\xA5\x60\xF1\x0E\xC6\xD8\x5B" + , KAT_ECB + "\x01\x70\xF1\x75\x46\x8F\xB5\xE6" + "\x07\x56\xD8\xE0\x77\x47\x61\xD2" + "\x0C\xD3\xDA\x02\x00\x21\xDC\x09" + , KAT_ECB + "\x43\x29\x7F\xAD\x38\xE3\x73\xFE" + "\x76\x25\x14\xB8\x29\xBF\x48\x6A" + "\xEA\x67\x6B\x2C\xB7\xDB\x2B\x7A" + , KAT_ECB + "\x07\xA7\x13\x70\x45\xDA\x2A\x16" + "\x3B\xDD\x11\x90\x49\x37\x28\x02" + "\xDF\xD6\x4A\x81\x5C\xAF\x1A\x0F" + , KAT_ECB + "\x04\x68\x91\x04\xC2\xFD\x3B\x2F" + "\x26\x95\x5F\x68\x35\xAF\x60\x9A" + "\x5C\x51\x3C\x9C\x48\x86\xC0\x88" + , KAT_ECB + "\x37\xD0\x6B\xB5\x16\xCB\x75\x46" + "\x16\x4D\x5E\x40\x4F\x27\x52\x32" + "\x0A\x2A\xEE\xAE\x3F\xF4\xAB\x77" + , KAT_ECB + "\x1F\x08\x26\x0D\x1A\xC2\x46\x5E" + "\x6B\x05\x6E\x18\x75\x9F\x5C\xCA" + "\xEF\x1B\xF0\x3E\x5D\xFA\x57\x5A" + , KAT_ECB + "\x58\x40\x23\x64\x1A\xBA\x61\x76" + "\x00\x4B\xD6\xEF\x09\x17\x60\x62" + "\x88\xBF\x0D\xB6\xD7\x0D\xEE\x56" + , KAT_ECB + "\x02\x58\x16\x16\x46\x29\xB0\x07" + "\x48\x0D\x39\x00\x6E\xE7\x62\xF2" + "\xA1\xF9\x91\x55\x41\x02\x0B\x56" + , KAT_ECB + "\x49\x79\x3E\xBC\x79\xB3\x25\x8F" + "\x43\x75\x40\xC8\x69\x8F\x3C\xFA" + "\x6F\xBF\x1C\xAF\xCF\xFD\x05\x56" + , KAT_ECB + "\x4F\xB0\x5E\x15\x15\xAB\x73\xA7" + "\x07\x2D\x43\xA0\x77\x07\x52\x92" + "\x2F\x22\xE4\x9B\xAB\x7C\xA1\xAC" + , KAT_ECB + "\x49\xE9\x5D\x6D\x4C\xA2\x29\xBF" + "\x02\xFE\x55\x77\x81\x17\xF1\x2A" + "\x5A\x6B\x61\x2C\xC2\x6C\xCE\x4A" + , KAT_ECB + "\x01\x83\x10\xDC\x40\x9B\x26\xD6" + "\x1D\x9D\x5C\x50\x18\xF7\x28\xC2" + "\x5F\x4C\x03\x8E\xD1\x2B\x2E\x41" + , KAT_ECB + "\x1C\x58\x7F\x1C\x13\x92\x4F\xEF" + "\x30\x55\x32\x28\x6D\x6F\x29\x5A" + "\x63\xFA\xC0\xD0\x34\xD9\xF7\x93" + , KAT_ECB + "\x01\x01\x01\x01\x01\x01\x01\x01" + "\x01\x23\x45\x67\x89\xAB\xCD\xEF" + "\x61\x7B\x3A\x0C\xE8\xF0\x71\x00" + , KAT_ECB + "\x1F\x1F\x1F\x1F\x0E\x0E\x0E\x0E" + "\x01\x23\x45\x67\x89\xAB\xCD\xEF" + "\xDB\x95\x86\x05\xF8\xC8\xC6\x06" + , KAT_ECB + "\xE0\xFE\xE0\xFE\xF1\xFE\xF1\xFE" + "\x01\x23\x45\x67\x89\xAB\xCD\xEF" + "\xED\xBF\xD1\xC6\x6C\x29\xCC\xC7" + , KAT_ECB + "\x00\x00\x00\x00\x00\x00\x00\x00" + "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF" + "\x35\x55\x50\xB2\x15\x0E\x24\x51" + , KAT_ECB + "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF" + "\x00\x00\x00\x00\x00\x00\x00\x00" + "\xCA\xAA\xAF\x4D\xEA\xF1\xDB\xAE" + , KAT_ECB + "\x01\x23\x45\x67\x89\xAB\xCD\xEF" + "\x00\x00\x00\x00\x00\x00\x00\x00" + "\xD5\xD4\x4F\xF7\x20\x68\x3D\x0D" + , KAT_ECB + "\xFE\xDC\xBA\x98\x76\x54\x32\x10" + "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF" + "\x2A\x2B\xB0\x08\xDF\x97\xC2\xF2" + ] + +kats = defaultKATs{kat_ECB = vectors_ecb} + +spec :: Spec +spec = + modifyMaxSuccess (const 5) $ + testBlockCipher kats (undefined :: DES.DES) diff --git a/tests/BlockCipher/ModesSpec.hs b/tests/BlockCipher/ModesSpec.hs new file mode 100644 --- /dev/null +++ b/tests/BlockCipher/ModesSpec.hs @@ -0,0 +1,103 @@ +{-# LANGUAGE OverloadedStrings #-} + +module BlockCipher.ModesSpec (spec) where + +import Crypto.Cipher.Camellia (Camellia128) +import Crypto.Cipher.DES (DES) +import Crypto.Cipher.Types +import Crypto.Error (throwCryptoError) +import Data.Bits (xor) +import qualified Data.ByteString as B +import Imports + +-- | AES answers for its own modes in C; every other cipher reaches the generic +-- implementations in "Crypto.Cipher.Types.Block". The suite checks that those +-- round trip, which a mode that chains the wrong way does too, and it checks +-- them only at the lengths QuickCheck happens to draw. +-- +-- So write each mode out as its definition states it, and compare. +blocksOf :: Int -> ByteString -> [ByteString] +blocksOf n bs + | B.null bs = [] + | otherwise = let (a, b) = B.splitAt n bs in a : blocksOf n b + +bxor :: ByteString -> ByteString -> ByteString +bxor a b = B.pack (B.zipWith xor a b) + +-- big-endian increment, which is what CTR counts with +incr :: ByteString -> ByteString +incr bs = B.pack (reverse (go (reverse (B.unpack bs)))) + where + go [] = [] + go (w : ws) + | w == 0xff = 0 : go ws + | otherwise = (w + 1) : ws + +refCBCEncrypt + , refCBCDecrypt + , refCFBEncrypt + , refCFBDecrypt + , refCTR + :: BlockCipher c => c -> ByteString -> ByteString -> ByteString +refCBCEncrypt c iv msg = B.concat (go iv (blocksOf (blockSize c) msg)) + where + go _ [] = [] + go v (m : ms) = let o = ecbEncrypt c (bxor v m) in o : go o ms +refCBCDecrypt c iv msg = B.concat (go iv (blocksOf (blockSize c) msg)) + where + go _ [] = [] + go v (m : ms) = bxor v (ecbDecrypt c m) : go m ms +refCFBEncrypt c iv msg = B.concat (go iv (blocksOf (blockSize c) msg)) + where + go _ [] = [] + go v (m : ms) = let o = bxor m (ecbEncrypt c v) in o : go o ms +refCFBDecrypt c iv msg = B.concat (go iv (blocksOf (blockSize c) msg)) + where + go _ [] = [] + go v (m : ms) = bxor m (ecbEncrypt c v) : go m ms +refCTR c iv msg = + B.concat + (zipWith bxor (blocksOf (blockSize c) msg) (map (ecbEncrypt c) (iterate incr iv))) + +modeTests :: BlockCipher c => String -> c -> ByteString -> Spec +modeTests name c iv0 = + describe name $ do + it "CBC encryption is what the definition says" $ + disagree (cbcEncrypt c iv) (refCBCEncrypt c iv0) wholeBlocks `shouldBe` [] + it "CBC decryption is what the definition says" $ + disagree (cbcDecrypt c iv) (refCBCDecrypt c iv0) wholeBlocks `shouldBe` [] + it "CFB encryption is what the definition says" $ + disagree (cfbEncrypt c iv) (refCFBEncrypt c iv0) wholeBlocks `shouldBe` [] + it "CFB decryption is what the definition says" $ + disagree (cfbDecrypt c iv) (refCFBDecrypt c iv0) wholeBlocks `shouldBe` [] + it "CTR is what the definition says, whole blocks or not" $ + disagree (ctrCombine c iv) (refCTR c iv0) everyLength `shouldBe` [] + it "and on a message of 64 KiB" $ do + cbcEncrypt c iv big `shouldBe` refCBCEncrypt c iv0 big + cbcDecrypt c iv big `shouldBe` refCBCDecrypt c iv0 big + ctrCombine c iv big `shouldBe` refCTR c iv0 big + where + bsz = blockSize c + iv = maybe (error "bad IV") id (makeIV iv0) + -- the message, and the lengths to take of it + message = B.concat (replicate 4 (B.pack (map fromIntegral [1 .. 255 :: Int]))) + wholeBlocks = [bsz * i | i <- [0 .. 20]] + everyLength = [0 .. 40] + big = B.concat (replicate 256 message) + disagree lib ref lens = + [n | n <- lens, let m = B.take n message, lib m /= ref m] + +spec :: Spec +spec = do + modeTests + "DES" + (throwCryptoError (cipherInit desKey) :: DES) + (B.replicate 8 0x42) + modeTests + "Camellia128" + (throwCryptoError (cipherInit camKey) :: Camellia128) + (B.replicate 16 0x42) + where + desKey = "\x01\x23\x45\x67\x89\xab\xcd\xef" :: ByteString + camKey = + "\x01\x23\x45\x67\x89\xab\xcd\xef\xfe\xdc\xba\x98\x76\x54\x32\x10" :: ByteString diff --git a/tests/BlockCipher/TripleDESSpec.hs b/tests/BlockCipher/TripleDESSpec.hs new file mode 100644 --- /dev/null +++ b/tests/BlockCipher/TripleDESSpec.hs @@ -0,0 +1,70 @@ +{-# LANGUAGE OverloadedStrings #-} +{-# LANGUAGE ViewPatterns #-} + +module BlockCipher.TripleDESSpec (spec) where + +import BlockCipher +import qualified Crypto.Cipher.DES as DES +import qualified Crypto.Cipher.TripleDES as TripleDES +import Crypto.Cipher.Types +import Crypto.Error (throwCryptoError) +import qualified Data.ByteString as B +import Imports + +kats = defaultKATs + +key1, key2, key3, message :: ByteString +key1 = "\x01\x23\x45\x67\x89\xab\xcd\xef" +key2 = "\xfe\xdc\xba\x98\x76\x54\x32\x10" +key3 = "\x13\x34\x57\x79\x9b\xbc\xdf\xf1" +message = "\x4e\x6f\x77\x20\x69\x73\x20\x74\x68\x65\x20\x74\x69\x6d\x65\x20" + +des :: ByteString -> DES.DES +des k = throwCryptoError (cipherInit k) + +cipher :: BlockCipher c => ByteString -> c +cipher k = throwCryptoError (cipherInit k) + +-- | What the three stage constructions are, said in terms of DES itself: the +-- keys are used in the order and the directions their names describe, and +-- three stages under one key are the one stage the middle one undoes. +-- +-- The suite had only round trips for these, which are equally happy with the +-- stages in the wrong order. +compositionTests :: Spec +compositionTests = + describe "composition" $ do + it "EEE3 is E,E,E under the three keys" $ + ecbEncrypt (cipher k123 :: TripleDES.DES_EEE3) message + `shouldBe` e key3 (e key2 (e key1 message)) + it "EDE3 is E,D,E under the three keys" $ + ecbEncrypt (cipher k123 :: TripleDES.DES_EDE3) message + `shouldBe` e key3 (d key2 (e key1 message)) + it "EEE2 is E,E,E with the first key again" $ + ecbEncrypt (cipher k12 :: TripleDES.DES_EEE2) message + `shouldBe` e key1 (e key2 (e key1 message)) + it "EDE2 is E,D,E with the first key again" $ + ecbEncrypt (cipher k12 :: TripleDES.DES_EDE2) message + `shouldBe` e key1 (d key2 (e key1 message)) + it "decryption undoes each of them" $ do + back (cipher k123 :: TripleDES.DES_EEE3) `shouldBe` message + back (cipher k123 :: TripleDES.DES_EDE3) `shouldBe` message + back (cipher k12 :: TripleDES.DES_EEE2) `shouldBe` message + back (cipher k12 :: TripleDES.DES_EDE2) `shouldBe` message + it "EDE under one key repeated is DES" $ do + ecbEncrypt (cipher (B.concat [key1, key1, key1]) :: TripleDES.DES_EDE3) message + `shouldBe` e key1 message + ecbEncrypt (cipher (B.concat [key1, key1]) :: TripleDES.DES_EDE2) message + `shouldBe` e key1 message + where + k123 = B.concat [key1, key2, key3] + k12 = B.concat [key1, key2] + e k m = ecbEncrypt (des k) m + d k m = ecbDecrypt (des k) m + back c = ecbDecrypt c (ecbEncrypt c message) + +spec :: Spec +spec = do + modifyMaxSuccess (const 5) $ + testBlockCipher kats (undefined :: TripleDES.DES_EEE3) + compositionTests diff --git a/tests/BlockCipher/TwofishSpec.hs b/tests/BlockCipher/TwofishSpec.hs new file mode 100644 --- /dev/null +++ b/tests/BlockCipher/TwofishSpec.hs @@ -0,0 +1,417 @@ +module BlockCipher.TwofishSpec (spec) where + +import BlockCipher +import Imports + +import Control.Exception (evaluate) +import Crypto.Cipher.Twofish +import Crypto.Cipher.Types +import Crypto.Error (throwCryptoError) +import qualified Data.ByteString as B + +vectors_twofish128 = + [ KAT_ECB + (B.replicate 16 0x00) + (B.replicate 16 0x00) + ( B.pack + [ 0x9F + , 0x58 + , 0x9F + , 0x5C + , 0xF6 + , 0x12 + , 0x2C + , 0x32 + , 0xB6 + , 0xBF + , 0xEC + , 0x2F + , 0x2A + , 0xE8 + , 0xC3 + , 0x5A + ] + ) + , KAT_ECB + ( B.pack + [ 0x9F + , 0x58 + , 0x9F + , 0x5C + , 0xF6 + , 0x12 + , 0x2C + , 0x32 + , 0xB6 + , 0xBF + , 0xEC + , 0x2F + , 0x2A + , 0xE8 + , 0xC3 + , 0x5A + ] + ) + ( B.pack + [ 0xD4 + , 0x91 + , 0xDB + , 0x16 + , 0xE7 + , 0xB1 + , 0xC3 + , 0x9E + , 0x86 + , 0xCB + , 0x08 + , 0x6B + , 0x78 + , 0x9F + , 0x54 + , 0x19 + ] + ) + ( B.pack + [ 0x01 + , 0x9F + , 0x98 + , 0x09 + , 0xDE + , 0x17 + , 0x11 + , 0x85 + , 0x8F + , 0xAA + , 0xC3 + , 0xA3 + , 0xBA + , 0x20 + , 0xFB + , 0xC3 + ] + ) + ] + +vectors_twofish192 = + [ KAT_ECB + ( B.pack + [ 0x01 + , 0x23 + , 0x45 + , 0x67 + , 0x89 + , 0xAB + , 0xCD + , 0xEF + , 0xFE + , 0xDC + , 0xBA + , 0x98 + , 0x76 + , 0x54 + , 0x32 + , 0x10 + , 0x00 + , 0x11 + , 0x22 + , 0x33 + , 0x44 + , 0x55 + , 0x66 + , 0x77 + ] + ) + ( B.pack + [ 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + ] + ) + ( B.pack + [ 0xCF + , 0xD1 + , 0xD2 + , 0xE5 + , 0xA9 + , 0xBE + , 0x9C + , 0xDF + , 0x50 + , 0x1F + , 0x13 + , 0xB8 + , 0x92 + , 0xBD + , 0x22 + , 0x48 + ] + ) + , KAT_ECB + ( B.pack + [ 0x88 + , 0xB2 + , 0xB2 + , 0x70 + , 0x6B + , 0x10 + , 0x5E + , 0x36 + , 0xB4 + , 0x46 + , 0xBB + , 0x6D + , 0x73 + , 0x1A + , 0x1E + , 0x88 + , 0xEF + , 0xA7 + , 0x1F + , 0x78 + , 0x89 + , 0x65 + , 0xBD + , 0x44 + ] + ) + ( B.pack + [ 0x39 + , 0xDA + , 0x69 + , 0xD6 + , 0xBA + , 0x49 + , 0x97 + , 0xD5 + , 0x85 + , 0xB6 + , 0xDC + , 0x07 + , 0x3C + , 0xA3 + , 0x41 + , 0xB2 + ] + ) + ( B.pack + [ 0x18 + , 0x2B + , 0x02 + , 0xD8 + , 0x14 + , 0x97 + , 0xEA + , 0x45 + , 0xF9 + , 0xDA + , 0xAC + , 0xDC + , 0x29 + , 0x19 + , 0x3A + , 0x65 + ] + ) + ] + +vectors_twofish256 = + [ KAT_ECB + ( B.pack + [ 0x01 + , 0x23 + , 0x45 + , 0x67 + , 0x89 + , 0xAB + , 0xCD + , 0xEF + , 0xFE + , 0xDC + , 0xBA + , 0x98 + , 0x76 + , 0x54 + , 0x32 + , 0x10 + , 0x00 + , 0x11 + , 0x22 + , 0x33 + , 0x44 + , 0x55 + , 0x66 + , 0x77 + , 0x88 + , 0x99 + , 0xAA + , 0xBB + , 0xCC + , 0xDD + , 0xEE + , 0xFF + ] + ) + ( B.pack + [ 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + , 0x00 + ] + ) + ( B.pack + [ 0x37 + , 0x52 + , 0x7B + , 0xE0 + , 0x05 + , 0x23 + , 0x34 + , 0xB8 + , 0x9F + , 0x0C + , 0xFC + , 0xCA + , 0xE8 + , 0x7C + , 0xFA + , 0x20 + ] + ) + , KAT_ECB + ( B.pack + [ 0xD4 + , 0x3B + , 0xB7 + , 0x55 + , 0x6E + , 0xA3 + , 0x2E + , 0x46 + , 0xF2 + , 0xA2 + , 0x82 + , 0xB7 + , 0xD4 + , 0x5B + , 0x4E + , 0x0D + , 0x57 + , 0xFF + , 0x73 + , 0x9D + , 0x4D + , 0xC9 + , 0x2C + , 0x1B + , 0xD7 + , 0xFC + , 0x01 + , 0x70 + , 0x0C + , 0xC8 + , 0x21 + , 0x6F + ] + ) + ( B.pack + [ 0x90 + , 0xAF + , 0xE9 + , 0x1B + , 0xB2 + , 0x88 + , 0x54 + , 0x4F + , 0x2C + , 0x32 + , 0xDC + , 0x23 + , 0x9B + , 0x26 + , 0x35 + , 0xE6 + ] + ) + ( B.pack + [ 0x6C + , 0xB4 + , 0x56 + , 0x1C + , 0x40 + , 0xBF + , 0x0A + , 0x97 + , 0x05 + , 0x93 + , 0x1C + , 0xB6 + , 0xD4 + , 0x08 + , 0xE7 + , 0xFA + ] + ) + ] + +kats128 = defaultKATs{kat_ECB = vectors_twofish128} +kats192 = defaultKATs{kat_ECB = vectors_twofish192} +kats256 = defaultKATs{kat_ECB = vectors_twofish256} + +-- | ECB is the block operation applied to each block and nothing else, so a +-- message of several blocks is the blocks encrypted one at a time and put back +-- together. The vectors above are all one block long, and the loop that walks +-- the blocks is about to be rewritten. +manyBlockTests :: Spec +manyBlockTests = + describe "several blocks" $ do + it "ECB of a message is ECB of its blocks" $ + ecbEncrypt ctx message `shouldBe` B.concat (map (ecbEncrypt ctx) blocks) + it "and the same going back" $ + ecbDecrypt ctx cipherText + `shouldBe` B.concat (map (ecbDecrypt ctx) cipherBlocks) + it "a message of 64 KiB still decrypts to itself" $ + ecbDecrypt ctx (ecbEncrypt ctx big) `shouldBe` big + it "a message that is not whole blocks is refused" $ + -- it used to come back longer than it went in: the short block was + -- read as though the bytes it does not have were zero + evaluate (B.length (ecbEncrypt ctx (B.take 20 message))) + `shouldThrow` anyErrorCall + where + ctx = throwCryptoError (cipherInit (B.replicate 16 0x2b)) :: Twofish128 + message = B.pack (map fromIntegral [1 .. 80 :: Int]) + blocks = [B.take 16 (B.drop i message) | i <- [0, 16 .. 64]] + cipherText = ecbEncrypt ctx message + cipherBlocks = [B.take 16 (B.drop i cipherText) | i <- [0, 16 .. 64]] + big = B.concat (replicate 819 message) + +spec :: Spec +spec = do + manyBlockTests + testBlockCipher kats128 (undefined :: Twofish128) + testBlockCipher kats192 (undefined :: Twofish192) + testBlockCipher kats256 (undefined :: Twofish256) diff --git a/tests/ChaCha.hs b/tests/ChaCha.hs deleted file mode 100644 --- a/tests/ChaCha.hs +++ /dev/null @@ -1,103 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module ChaCha (tests) where - -import qualified Crypto.Cipher.ChaCha as ChaCha -import Imports - -import qualified Data.ByteString as B - -b8_128_k0_i0 = "\xe2\x8a\x5f\xa4\xa6\x7f\x8c\x5d\xef\xed\x3e\x6f\xb7\x30\x34\x86\xaa\x84\x27\xd3\x14\x19\xa7\x29\x57\x2d\x77\x79\x53\x49\x11\x20\xb6\x4a\xb8\xe7\x2b\x8d\xeb\x85\xcd\x6a\xea\x7c\xb6\x08\x9a\x10\x18\x24\xbe\xeb\x08\x81\x4a\x42\x8a\xab\x1f\xa2\xc8\x16\x08\x1b\x8a\x26\xaf\x44\x8a\x1b\xa9\x06\x36\x8f\xd8\xc8\x38\x31\xc1\x8c\xec\x8c\xed\x81\x1a\x02\x8e\x67\x5b\x8d\x2b\xe8\xfc\xe0\x81\x16\x5c\xea\xe9\xf1\xd1\xb7\xa9\x75\x49\x77\x49\x48\x05\x69\xce\xb8\x3d\xe6\xa0\xa5\x87\xd4\x98\x4f\x19\x92\x5f\x5d\x33\x8e\x43\x0d" - -b12_128_k0_i0 = - "\xe1\x04\x7b\xa9\x47\x6b\xf8\xff\x31\x2c\x01\xb4\x34\x5a\x7d\x8c\xa5\x79\x2b\x0a\xd4\x67\x31\x3f\x1d\xc4\x12\xb5\xfd\xce\x32\x41\x0d\xea\x8b\x68\xbd\x77\x4c\x36\xa9\x20\xf0\x92\xa0\x4d\x3f\x95\x27\x4f\xbe\xff\x97\xbc\x84\x91\xfc\xef\x37\xf8\x59\x70\xb4\x50\x1d\x43\xb6\x1a\x8f\x7e\x19\xfc\xed\xde\xf3\x68\xae\x6b\xfb\x11\x10\x1b\xd9\xfd\x3e\x4d\x12\x7d\xe3\x0d\xb2\xdb\x1b\x47\x2e\x76\x42\x68\x03\xa4\x5e\x15\xb9\x62\x75\x19\x86\xef\x1d\x9d\x50\xf5\x98\xa5\xdc\xdc\x9f\xa5\x29\xa2\x83\x57\x99\x1e\x78\x4e\xa2\x0f" - -b20_128_k0_i0 = - "\x89\x67\x09\x52\x60\x83\x64\xfd\x00\xb2\xf9\x09\x36\xf0\x31\xc8\xe7\x56\xe1\x5d\xba\x04\xb8\x49\x3d\x00\x42\x92\x59\xb2\x0f\x46\xcc\x04\xf1\x11\x24\x6b\x6c\x2c\xe0\x66\xbe\x3b\xfb\x32\xd9\xaa\x0f\xdd\xfb\xc1\x21\x23\xd4\xb9\xe4\x4f\x34\xdc\xa0\x5a\x10\x3f\x6c\xd1\x35\xc2\x87\x8c\x83\x2b\x58\x96\xb1\x34\xf6\x14\x2a\x9d\x4d\x8d\x0d\x8f\x10\x26\xd2\x0a\x0a\x81\x51\x2c\xbc\xe6\xe9\x75\x8a\x71\x43\xd0\x21\x97\x80\x22\xa3\x84\x14\x1a\x80\xce\xa3\x06\x2f\x41\xf6\x7a\x75\x2e\x66\xad\x34\x11\x98\x4c\x78\x7e\x30\xad" - -b8_256_k0_i0 = - "\x3e\x00\xef\x2f\x89\x5f\x40\xd6\x7f\x5b\xb8\xe8\x1f\x09\xa5\xa1\x2c\x84\x0e\xc3\xce\x9a\x7f\x3b\x18\x1b\xe1\x88\xef\x71\x1a\x1e\x98\x4c\xe1\x72\xb9\x21\x6f\x41\x9f\x44\x53\x67\x45\x6d\x56\x19\x31\x4a\x42\xa3\xda\x86\xb0\x01\x38\x7b\xfd\xb8\x0e\x0c\xfe\x42\xd2\xae\xfa\x0d\xea\xa5\xc1\x51\xbf\x0a\xdb\x6c\x01\xf2\xa5\xad\xc0\xfd\x58\x12\x59\xf9\xa2\xaa\xdc\xf2\x0f\x8f\xd5\x66\xa2\x6b\x50\x32\xec\x38\xbb\xc5\xda\x98\xee\x0c\x6f\x56\x8b\x87\x2a\x65\xa0\x8a\xbf\x25\x1d\xeb\x21\xbb\x4b\x56\xe5\xd8\x82\x1e\x68\xaa" - -b12_256_k0_i0 = - "\x9b\xf4\x9a\x6a\x07\x55\xf9\x53\x81\x1f\xce\x12\x5f\x26\x83\xd5\x04\x29\xc3\xbb\x49\xe0\x74\x14\x7e\x00\x89\xa5\x2e\xae\x15\x5f\x05\x64\xf8\x79\xd2\x7a\xe3\xc0\x2c\xe8\x28\x34\xac\xfa\x8c\x79\x3a\x62\x9f\x2c\xa0\xde\x69\x19\x61\x0b\xe8\x2f\x41\x13\x26\xbe\x0b\xd5\x88\x41\x20\x3e\x74\xfe\x86\xfc\x71\x33\x8c\xe0\x17\x3d\xc6\x28\xeb\xb7\x19\xbd\xcb\xcc\x15\x15\x85\x21\x4c\xc0\x89\xb4\x42\x25\x8d\xcd\xa1\x4c\xf1\x11\xc6\x02\xb8\x97\x1b\x8c\xc8\x43\xe9\x1e\x46\xca\x90\x51\x51\xc0\x27\x44\xa6\xb0\x17\xe6\x93\x16" - -b20_256_k0_i0 = - "\x76\xb8\xe0\xad\xa0\xf1\x3d\x90\x40\x5d\x6a\xe5\x53\x86\xbd\x28\xbd\xd2\x19\xb8\xa0\x8d\xed\x1a\xa8\x36\xef\xcc\x8b\x77\x0d\xc7\xda\x41\x59\x7c\x51\x57\x48\x8d\x77\x24\xe0\x3f\xb8\xd8\x4a\x37\x6a\x43\xb8\xf4\x15\x18\xa1\x1c\xc3\x87\xb6\x69\xb2\xee\x65\x86\x9f\x07\xe7\xbe\x55\x51\x38\x7a\x98\xba\x97\x7c\x73\x2d\x08\x0d\xcb\x0f\x29\xa0\x48\xe3\x65\x69\x12\xc6\x53\x3e\x32\xee\x7a\xed\x29\xb7\x21\x76\x9c\xe6\x4e\x43\xd5\x71\x33\xb0\x74\xd8\x39\xd5\x31\xed\x1f\x28\x51\x0a\xfb\x45\xac\xe1\x0a\x1f\x4b\x79\x4d\x6f" - --- XChaCha20 test vector from RFC draft: https://datatracker.ietf.org/doc/html/draft-arciszewski-xchacha - -xChaCha20_ExampleKAT = expected @=? fst (ChaCha.combine initState plaintext) - where iv = B.pack $ [0x40 .. 0x56] ++ [0x58] - key = B.pack [0x80 .. 0x9f] - initState = ChaCha.initializeX 20 key iv - plaintext :: B.ByteString - plaintext = "The dhole (pronounced \"dole\") is also known as the Asiatic wild dog, red dog, and whistling dog. It is about the size of a German shepherd but looks more like a long-legged fox. This highly elusive and skilled jumper is classified with wolves, coyotes, jackals, and foxes in the taxonomic family Canidae." - expected :: B.ByteString - expected = "\x45\x59\xab\xba\x4e\x48\xc1\x61\x02\xe8\xbb\x2c\x05\xe6\x94\x7f\x50\xa7\x86\xde\x16\x2f\x9b\x0b\x7e\x59\x2a\x9b\x53\xd0\xd4\xe9\x8d\x8d\x64\x10\xd5\x40\xa1\xa6\x37\x5b\x26\xd8\x0d\xac\xe4\xfa\xb5\x23\x84\xc7\x31\xac\xbf\x16\xa5\x92\x3c\x0c\x48\xd3\x57\x5d\x4d\x0d\x2c\x67\x3b\x66\x6f\xaa\x73\x10\x61\x27\x77\x01\x09\x3a\x6b\xf7\xa1\x58\xa8\x86\x42\x92\xa4\x1c\x48\xe3\xa9\xb4\xc0\xda\xec\xe0\xf8\xd9\x8d\x0d\x7e\x05\xb3\x7a\x30\x7b\xbb\x66\x33\x31\x64\xec\x9e\x1b\x24\xea\x0d\x6c\x3f\xfd\xdc\xec\x4f\x68\xe7\x44\x30\x56\x19\x3a\x03\xc8\x10\xe1\x13\x44\xca\x06\xd8\xed\x8a\x2b\xfb\x1e\x8d\x48\xcf\xa6\xbc\x0e\xb4\xe2\x46\x4b\x74\x81\x42\x40\x7c\x9f\x43\x1a\xee\x76\x99\x60\xe1\x5b\xa8\xb9\x68\x90\x46\x6e\xf2\x45\x75\x99\x85\x23\x85\xc6\x61\xf7\x52\xce\x20\xf9\xda\x0c\x09\xab\x6b\x19\xdf\x74\xe7\x6a\x95\x96\x74\x46\xf8\xd0\xfd\x41\x5e\x7b\xee\x2a\x12\xa1\x14\xc2\x0e\xb5\x29\x2a\xe7\xa3\x49\xae\x57\x78\x20\xd5\x52\x0a\x1f\x3f\xb6\x2a\x17\xce\x6a\x7e\x68\xfa\x7c\x79\x11\x1d\x88\x60\x92\x0b\xc0\x48\xef\x43\xfe\x84\x48\x6c\xcb\x87\xc2\x5f\x0a\xe0\x45\xf0\xcc\xe1\xe7\x98\x9a\x9a\xa2\x20\xa2\x8b\xdd\x48\x27\xe7\x51\xa2\x4a\x6d\x5c\x62\xd7\x90\xa6\x63\x93\xb9\x31\x11\xc1\xa5\x5d\xd7\x42\x1a\x10\x18\x49\x74\xc7\xc5" - - -data Vector = Vector Int -- rounds - ByteString -- key - ByteString -- nonce - deriving (Show,Eq) - -instance Arbitrary Vector where - arbitrary = Vector 20 <$> arbitraryBS 16 <*> arbitraryBS 12 - -tests = testGroup "ChaCha" - [ testCase "8-128-K0-I0" (chachaRunSimple b8_128_k0_i0 8 16 8) - , testCase "12-128-K0-I0" (chachaRunSimple b12_128_k0_i0 12 16 8) - , testCase "20-128-K0-I0" (chachaRunSimple b20_128_k0_i0 20 16 8) - , testCase "8-256-K0-I0" (chachaRunSimple b8_256_k0_i0 8 32 8) - , testCase "12-256-K0-I0" (chachaRunSimple b12_256_k0_i0 12 32 8) - , testCase "20-256-K0-I0" (chachaRunSimple b20_256_k0_i0 20 32 8) - , testCase "XChaCha20 example KAT" xChaCha20_ExampleKAT - , testProperty "generate-combine" chachaGenerateCombine - , testProperty "chunking-generate" chachaGenerateChunks - , testProperty "chunking-combine" chachaCombineChunks - ] - where chachaRunSimple expected rounds klen nonceLen = - let chacha = ChaCha.initialize rounds (B.replicate klen 0) (B.replicate nonceLen 0) - in expected @=? fst (ChaCha.generate chacha (B.length expected)) - - chachaGenerateChunks :: ChunkingLen -> Vector -> Bool - chachaGenerateChunks (ChunkingLen ckLen) (Vector rounds key iv) = - let initChaCha = ChaCha.initialize rounds key iv - nbBytes = 1048 - (expected,_) = ChaCha.generate initChaCha nbBytes - chunks = loop nbBytes ckLen initChaCha - in expected `propertyEq` B.concat chunks - - where loop n [] chacha = loop n ckLen chacha - loop 0 _ _ = [] - loop n (x:xs) chacha = - let len = min x n - (c, next) = ChaCha.generate chacha len - in c : loop (n - len) xs next - - chachaGenerateCombine :: ChunkingLen0_127 -> Vector -> Int0_2901 -> Bool - chachaGenerateCombine (ChunkingLen0_127 ckLen) (Vector rounds key iv) (Int0_2901 nbBytes) = - let initChaCha = ChaCha.initialize rounds key iv - in loop nbBytes ckLen initChaCha - where loop n [] chacha = loop n ckLen chacha - loop 0 _ _ = True - loop n (x:xs) chacha = - let len = min x n - (c1, next) = ChaCha.generate chacha len - (c2, _) = ChaCha.combine chacha (B.replicate len 0) - in if c1 == c2 then loop (n - len) xs next else False - - - chachaCombineChunks :: ChunkingLen0_127 -> Vector -> ArbitraryBS0_2901 -> Bool - chachaCombineChunks (ChunkingLen0_127 ckLen) (Vector rounds key iv) (ArbitraryBS0_2901 wholebs) = - let initChaCha = ChaCha.initialize rounds key iv - (expected,_) = ChaCha.combine initChaCha wholebs - chunks = loop wholebs ckLen initChaCha - in expected `propertyEq` B.concat chunks - - where loop bs [] chacha = loop bs ckLen chacha - loop bs (x:xs) chacha - | B.null bs = [] - | otherwise = - let (bs1, bs2) = B.splitAt (min x (B.length bs)) bs - (c, next) = ChaCha.combine chacha bs1 - in c : loop bs2 xs next diff --git a/tests/ChaChaPoly1305.hs b/tests/ChaChaPoly1305.hs deleted file mode 100644 --- a/tests/ChaChaPoly1305.hs +++ /dev/null @@ -1,89 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module ChaChaPoly1305 where - -import qualified Crypto.Cipher.ChaChaPoly1305 as AEAD -import Imports -import Crypto.Error -import Poly1305 () - -import qualified Data.ByteString as B -import qualified Data.ByteArray as B (convert) - -plaintext, aad, key, iv, ivX, ciphertext, ciphertextX, tag, tagX, nonce1, nonce2, nonce3, nonce4, nonce5, nonce6, nonce7, nonce8, nonce9, nonce10 :: B.ByteString -plaintext = "Ladies and Gentlemen of the class of '99: If I could offer you only one tip for the future, sunscreen would be it." -aad = "\x50\x51\x52\x53\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7" -key = "\x80\x81\x82\x83\x84\x85\x86\x87\x88\x89\x8a\x8b\x8c\x8d\x8e\x8f\x90\x91\x92\x93\x94\x95\x96\x97\x98\x99\x9a\x9b\x9c\x9d\x9e\x9f" -iv = "\x40\x41\x42\x43\x44\x45\x46\x47" -ivX = B.pack [0x40 .. 0x57] -constant = "\x07\x00\x00\x00" -ciphertext = "\xd3\x1a\x8d\x34\x64\x8e\x60\xdb\x7b\x86\xaf\xbc\x53\xef\x7e\xc2\xa4\xad\xed\x51\x29\x6e\x08\xfe\xa9\xe2\xb5\xa7\x36\xee\x62\xd6\x3d\xbe\xa4\x5e\x8c\xa9\x67\x12\x82\xfa\xfb\x69\xda\x92\x72\x8b\x1a\x71\xde\x0a\x9e\x06\x0b\x29\x05\xd6\xa5\xb6\x7e\xcd\x3b\x36\x92\xdd\xbd\x7f\x2d\x77\x8b\x8c\x98\x03\xae\xe3\x28\x09\x1b\x58\xfa\xb3\x24\xe4\xfa\xd6\x75\x94\x55\x85\x80\x8b\x48\x31\xd7\xbc\x3f\xf4\xde\xf0\x8e\x4b\x7a\x9d\xe5\x76\xd2\x65\x86\xce\xc6\x4b\x61\x16" -ciphertextX = "\xbd\x6d\x17\x9d\x3e\x83\xd4\x3b\x95\x76\x57\x94\x93\xc0\xe9\x39\x57\x2a\x17\x00\x25\x2b\xfa\xcc\xbe\xd2\x90\x2c\x21\x39\x6c\xbb\x73\x1c\x7f\x1b\x0b\x4a\xa6\x44\x0b\xf3\xa8\x2f\x4e\xda\x7e\x39\xae\x64\xc6\x70\x8c\x54\xc2\x16\xcb\x96\xb7\x2e\x12\x13\xb4\x52\x2f\x8c\x9b\xa4\x0d\xb5\xd9\x45\xb1\x1b\x69\xb9\x82\xc1\xbb\x9e\x3f\x3f\xac\x2b\xc3\x69\x48\x8f\x76\xb2\x38\x35\x65\xd3\xff\xf9\x21\xf9\x66\x4c\x97\x63\x7d\xa9\x76\x88\x12\xf6\x15\xc6\x8b\x13\xb5\x2e" -tag = "\x1a\xe1\x0b\x59\x4f\x09\xe2\x6a\x7e\x90\x2e\xcb\xd0\x60\x06\x91" -tagX = "\xc0\x87\x59\x24\xc1\xc7\x98\x79\x47\xde\xaf\xd8\x78\x0a\xcf\x49" -nonce1 = "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" -nonce2 = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" -nonce3 = "\xff\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" -nonce4 = "\x00\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" -nonce5 = "\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff" -nonce6 = "\x00\x00\x00\x00\x00\x00\x00\x00" -nonce7 = "\x01\x00\x00\x00\x00\x00\x00\x00" -nonce8 = "\xff\x00\x00\x00\x00\x00\x00\x00" -nonce9 = "\x00\x01\x00\x00\x00\x00\x00\x00" -nonce10 = "\xff\xff\xff\xff\xff\xff\xff\xff" - -tests = testGroup "ChaChaPoly1305" - [ testCase "V1" runEncrypt - , testCase "V1-decrypt" runDecrypt - , testCase "V1-extended" runEncryptX - , testCase "V1-extended-decrypt" runDecryptX - , testCase "nonce increment" runNonceInc - ] - where runEncrypt = - let ini = throwCryptoError $ AEAD.initialize key (throwCryptoError $ AEAD.nonce8 constant iv) - afterAAD = AEAD.finalizeAAD (AEAD.appendAAD aad ini) - (out, afterEncrypt) = AEAD.encrypt plaintext afterAAD - outtag = AEAD.finalize afterEncrypt - in propertyHoldCase [ eqTest "ciphertext" ciphertext out - , eqTest "tag" tag (B.convert outtag) - ] - runEncryptX = - let ini = throwCryptoError $ AEAD.initializeX key (throwCryptoError $ AEAD.nonce24 ivX) - afterAAD = AEAD.finalizeAAD (AEAD.appendAAD aad ini) - (out, afterEncrypt) = AEAD.encrypt plaintext afterAAD - outtag = AEAD.finalize afterEncrypt - in propertyHoldCase [ eqTest "ciphertext" ciphertextX out - , eqTest "tag" tagX (B.convert outtag) - ] - - runDecrypt = - let ini = throwCryptoError $ AEAD.initialize key (throwCryptoError $ AEAD.nonce8 constant iv) - afterAAD = AEAD.finalizeAAD (AEAD.appendAAD aad ini) - (out, afterDecrypt) = AEAD.decrypt ciphertext afterAAD - outtag = AEAD.finalize afterDecrypt - in propertyHoldCase [ eqTest "plaintext" plaintext out - , eqTest "tag" tag (B.convert outtag) - ] - - runDecryptX = - let ini = throwCryptoError $ AEAD.initializeX key (throwCryptoError $ AEAD.nonce24 ivX) - afterAAD = AEAD.finalizeAAD (AEAD.appendAAD aad ini) - (out, afterDecrypt) = AEAD.decrypt ciphertextX afterAAD - outtag = AEAD.finalize afterDecrypt - in propertyHoldCase [ eqTest "plaintext" plaintext out - , eqTest "tag" tagX (B.convert outtag) - ] - - runNonceInc = - let n1 = throwCryptoError . AEAD.nonce12 $ nonce1 - n3 = throwCryptoError . AEAD.nonce12 $ nonce3 - n5 = throwCryptoError . AEAD.nonce12 $ nonce5 - n6 = throwCryptoError . AEAD.nonce8 constant $ nonce6 - n8 = throwCryptoError . AEAD.nonce8 constant $ nonce8 - n10 = throwCryptoError . AEAD.nonce8 constant $ nonce10 - in propertyHoldCase [ eqTest "nonce12a" nonce2 $ B.convert . AEAD.incrementNonce $ n1 - , eqTest "nonce12b" nonce4 $ B.convert . AEAD.incrementNonce $ n3 - , eqTest "nonce12c" nonce1 $ B.convert . AEAD.incrementNonce $ n5 - , eqTest "nonce8a" (B.concat [constant, nonce7]) $ B.convert . AEAD.incrementNonce $ n6 - , eqTest "nonce8b" (B.concat [constant, nonce9]) $ B.convert . AEAD.incrementNonce $ n8 - , eqTest "nonce8c" (B.concat [constant, nonce6]) $ B.convert . AEAD.incrementNonce $ n10 - ] diff --git a/tests/ConstructHash/MiyaguchiPreneelSpec.hs b/tests/ConstructHash/MiyaguchiPreneelSpec.hs new file mode 100644 --- /dev/null +++ b/tests/ConstructHash/MiyaguchiPreneelSpec.hs @@ -0,0 +1,52 @@ +module ConstructHash.MiyaguchiPreneelSpec (spec) where + +import Crypto.Cipher.AES (AES128) +import Crypto.ConstructHash.MiyaguchiPreneel as MiyaguchiPreneel + +import Imports + +import qualified Data.ByteArray as B +import Data.ByteArray.Encoding (Base (Base16), convertFromBase) +import qualified Data.ByteString.Char8 as B8 + +runMP128 :: ByteString -> ByteString +runMP128 s = B.convert (MiyaguchiPreneel.compute s :: MiyaguchiPreneel AES128) + +hxs :: String -> ByteString +hxs = + either (error . ("hxs:" ++)) id + . convertFromBase Base16 + . B8.pack + . filter (/= ' ') + +gAES128 :: Spec +gAES128 = + igroup + "aes128" + [ runMP128 B8.empty + `shouldBe` hxs "66e94bd4 ef8a2c3b 884cfa59 ca342b2e" + , runMP128 (hxs "01000000 00000000 00000000 00000000") + `shouldBe` hxs "46711816 e91d6ff0 59bbbf2b f58e0fd3" + , runMP128 (hxs "00000000 00000000 00000000 00000001") + `shouldBe` hxs "58e2fcce fa7e3061 367f1d57 a4e7455b" + , runMP128 + ( hxs $ + "00000000 00000000 00000000 00000000" + ++ "01" + ) + `shouldBe` hxs "a5ff35ae 097adf5d 646abf5e bf4c16f4" + ] + +igroup :: String -> [Expectation] -> Spec +igroup nm = describe nm . sequence_ . zipWith (flip ($)) [1 ..] . map icase + where + icase c i = it (show (i :: Int)) c + +vectors :: Spec +vectors = + describe "KATs" $ do + gAES128 + +spec :: Spec +spec = do + vectors diff --git a/tests/Curve25519Spec.hs b/tests/Curve25519Spec.hs new file mode 100644 --- /dev/null +++ b/tests/Curve25519Spec.hs @@ -0,0 +1,52 @@ +{-# LANGUAGE OverloadedStrings #-} + +module Curve25519Spec (spec) where + +import Crypto.Error +import qualified Crypto.PubKey.Curve25519 as Curve25519 +import Data.ByteArray as B +import Imports + +alicePrivate = + throwCryptoError $ + Curve25519.secretKey + ( "\x77\x07\x6d\x0a\x73\x18\xa5\x7d\x3c\x16\xc1\x72\x51\xb2\x66\x45\xdf\x4c\x2f\x87\xeb\xc0\x99\x2a\xb1\x77\xfb\xa5\x1d\xb9\x2c\x2a" + :: ByteString + ) +alicePublic = + throwCryptoError $ + Curve25519.publicKey + ( "\x85\x20\xf0\x09\x89\x30\xa7\x54\x74\x8b\x7d\xdc\xb4\x3e\xf7\x5a\x0d\xbf\x3a\x0d\x26\x38\x1a\xf4\xeb\xa4\xa9\x8e\xaa\x9b\x4e\x6a" + :: ByteString + ) +bobPrivate = + throwCryptoError $ + Curve25519.secretKey + ( "\x5d\xab\x08\x7e\x62\x4a\x8a\x4b\x79\xe1\x7f\x8b\x83\x80\x0e\xe6\x6f\x3b\xb1\x29\x26\x18\xb6\xfd\x1c\x2f\x8b\x27\xff\x88\xe0\xeb" + :: ByteString + ) +bobPublic = + throwCryptoError $ + Curve25519.publicKey + ( "\xde\x9e\xdb\x7d\x7b\x7d\xc1\xb4\xd3\x5b\x61\xc2\xec\xe4\x35\x37\x3f\x83\x43\xc8\x5b\x78\x67\x4d\xad\xfc\x7e\x14\x6f\x88\x2b\x4f" + :: ByteString + ) +aliceMultBob = + "\x4a\x5d\x9d\x5b\xa4\xce\x2d\xe1\x72\x8e\x3b\xf4\x80\x35\x0f\x25\xe0\x7e\x21\xc9\x47\xd1\x9e\x33\x76\xf0\x9b\x3c\x1e\x16\x17\x42" + :: ByteString + +katTests :: [Spec] +katTests = + [ it + "0" + (B.convert (Curve25519.dh alicePublic bobPrivate) `shouldBe` aliceMultBob) + , it + "1" + (B.convert (Curve25519.dh bobPublic alicePrivate) `shouldBe` aliceMultBob) + , it "2" (Curve25519.toPublic alicePrivate `shouldBe` alicePublic) + , it "3" (Curve25519.toPublic bobPrivate `shouldBe` bobPublic) + ] + +spec :: Spec +spec = do + describe "KATs" $ sequence_ katTests diff --git a/tests/Curve448Spec.hs b/tests/Curve448Spec.hs new file mode 100644 --- /dev/null +++ b/tests/Curve448Spec.hs @@ -0,0 +1,48 @@ +{-# LANGUAGE OverloadedStrings #-} + +module Curve448Spec (spec) where + +import Crypto.Error +import qualified Crypto.PubKey.Curve448 as Curve448 +import Data.ByteArray as B +import Imports + +alicePrivate = + throwCryptoError $ + Curve448.secretKey + ( "\x9a\x8f\x49\x25\xd1\x51\x9f\x57\x75\xcf\x46\xb0\x4b\x58\x00\xd4\xee\x9e\xe8\xba\xe8\xbc\x55\x65\xd4\x98\xc2\x8d\xd9\xc9\xba\xf5\x74\xa9\x41\x97\x44\x89\x73\x91\x00\x63\x82\xa6\xf1\x27\xab\x1d\x9a\xc2\xd8\xc0\xa5\x98\x72\x6b" + :: ByteString + ) +alicePublic = + throwCryptoError $ + Curve448.publicKey + ( "\x9b\x08\xf7\xcc\x31\xb7\xe3\xe6\x7d\x22\xd5\xae\xa1\x21\x07\x4a\x27\x3b\xd2\xb8\x3d\xe0\x9c\x63\xfa\xa7\x3d\x2c\x22\xc5\xd9\xbb\xc8\x36\x64\x72\x41\xd9\x53\xd4\x0c\x5b\x12\xda\x88\x12\x0d\x53\x17\x7f\x80\xe5\x32\xc4\x1f\xa0" + :: ByteString + ) +bobPrivate = + throwCryptoError $ + Curve448.secretKey + ( "\x1c\x30\x6a\x7a\xc2\xa0\xe2\xe0\x99\x0b\x29\x44\x70\xcb\xa3\x39\xe6\x45\x37\x72\xb0\x75\x81\x1d\x8f\xad\x0d\x1d\x69\x27\xc1\x20\xbb\x5e\xe8\x97\x2b\x0d\x3e\x21\x37\x4c\x9c\x92\x1b\x09\xd1\xb0\x36\x6f\x10\xb6\x51\x73\x99\x2d" + :: ByteString + ) +bobPublic = + throwCryptoError $ + Curve448.publicKey + ( "\x3e\xb7\xa8\x29\xb0\xcd\x20\xf5\xbc\xfc\x0b\x59\x9b\x6f\xec\xcf\x6d\xa4\x62\x71\x07\xbd\xb0\xd4\xf3\x45\xb4\x30\x27\xd8\xb9\x72\xfc\x3e\x34\xfb\x42\x32\xa1\x3c\xa7\x06\xdc\xb5\x7a\xec\x3d\xae\x07\xbd\xc1\xc6\x7b\xf3\x36\x09" + :: ByteString + ) +aliceMultBob = + "\x07\xff\xf4\x18\x1a\xc6\xcc\x95\xec\x1c\x16\xa9\x4a\x0f\x74\xd1\x2d\xa2\x32\xce\x40\xa7\x75\x52\x28\x1d\x28\x2b\xb6\x0c\x0b\x56\xfd\x24\x64\xc3\x35\x54\x39\x36\x52\x1c\x24\x40\x30\x85\xd5\x9a\x44\x9a\x50\x37\x51\x4a\x87\x9d" + :: ByteString + +katTests :: [Spec] +katTests = + [ it "0" (B.convert (Curve448.dh alicePublic bobPrivate) `shouldBe` aliceMultBob) + , it "1" (B.convert (Curve448.dh bobPublic alicePrivate) `shouldBe` aliceMultBob) + , it "2" (Curve448.toPublic alicePrivate `shouldBe` alicePublic) + , it "3" (Curve448.toPublic bobPrivate `shouldBe` bobPublic) + ] + +spec :: Spec +spec = do + describe "KATs" $ sequence_ katTests diff --git a/tests/ECC.hs b/tests/ECC.hs deleted file mode 100644 --- a/tests/ECC.hs +++ /dev/null @@ -1,343 +0,0 @@ -{-# LANGUAGE ExistentialQuantification #-} -{-# LANGUAGE FlexibleContexts #-} -{-# LANGUAGE OverloadedStrings #-} -module ECC (tests) where - -import Crypto.Error -import qualified Crypto.ECC as ECC - -import Data.ByteArray.Encoding - -import Imports - -data Curve = forall curve. (ECC.EllipticCurveDH curve, Show curve, Eq (ECC.Point curve)) => Curve curve - -instance Show Curve where - showsPrec d (Curve curve) = showsPrec d curve - -instance Arbitrary Curve where - arbitrary = elements - [ Curve ECC.Curve_P256R1 - , Curve ECC.Curve_P384R1 - , Curve ECC.Curve_P521R1 - , Curve ECC.Curve_X25519 - , Curve ECC.Curve_X448 - ] - -data CurveArith = forall curve. (ECC.EllipticCurveBasepointArith curve, Show curve) => CurveArith curve - -instance Show CurveArith where - showsPrec d (CurveArith curve) = showsPrec d curve - -instance Arbitrary CurveArith where - arbitrary = elements - [ CurveArith ECC.Curve_P256R1 - , CurveArith ECC.Curve_P384R1 - , CurveArith ECC.Curve_P521R1 - , CurveArith ECC.Curve_Edwards25519 - ] - -data VectorPoint = VectorPoint - { vpCurve :: Curve - , vpHex :: ByteString - , vpError :: Maybe CryptoError - } - -vectorsPoint = - [ VectorPoint - { vpCurve = Curve ECC.Curve_P256R1 - , vpHex = "" - , vpError = Just CryptoError_PointSizeInvalid - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P256R1 - , vpHex = "00" - , vpError = Just CryptoError_PointFormatInvalid - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P256R1 - , vpHex = "0408edd7b50085a952172228aca391beebe9ba942a0ae9eb15bcc8d50795d1a5505221c7b9b3bb4310f165fc3ac3114339db8170ceae6697e0f9736698b33551b8" - , vpError = Nothing - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P256R1 - , vpHex = "04216f25b00717d46deef3402628f6abf265bfa12aea515ae8f100ce415e251e72cd5cd8f47f613a0f4e0f4f9410dd9c85c149cffcb320c2d52bf550a397ec92e5" - , vpError = Nothing - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P256R1 - , vpHex = "0421eba6080610926609bb8d52afd3331ed1b07e0ba4c1441a118b62497d3e85f39a50c865027cdd84298cdf094b7818f2a65ae59f46c971a32ab4ea3c2c93c959" - , vpError = Nothing - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P256R1 - , vpHex = "0400d7fc4050dfe73475502d5d1fadc105d7725508f48da2cd4729bf191fd6490a0001a16f417a27530e756efeb4a228f02db878072b9f833e99a2821d85fa78fc" - , vpError = Nothing - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P256R1 - , vpHex = "040000fc4050dfe73475502d5d1fadc105d7725508f48da2cd4729bf191fd6490a0001a16f417a27530e756efeb4a228f02db878072b9f833e99a2821d85fa78fc" - , vpError = Just CryptoError_PointCoordinatesInvalid - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P256R1 - , vpHex = "04d7fc4050dfe73475502d5d1fadc105d7725508f48da2cd4729bf191fd6490a01a16f417a27530e756efeb4a228f02db878072b9f833e99a2821d85fa78fc" - , vpError = Just CryptoError_PublicKeySizeInvalid -- tests leading zeros - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P256R1 - , vpHex = "040000d7fc4050dfe73475502d5d1fadc105d7725508f48da2cd4729bf191fd6490a000001a16f417a27530e756efeb4a228f02db878072b9f833e99a2821d85fa78fc" - , vpError = Just CryptoError_PublicKeySizeInvalid -- tests leading zeros - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P384R1 - , vpHex = "" - , vpError = Just CryptoError_PointSizeInvalid - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P384R1 - , vpHex = "00" - , vpError = Just CryptoError_PointFormatInvalid - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P384R1 - , vpHex = "0409281a103fb1773445e16eec86adb095e32928ccc9c806bd210c649712813bdb6cab40163a8cb163b578ea8dda5eb32cfb5208ebf0d31a6c590fa92f5a61f32dbc0d518b166ea5a9adf9dd21c1bd09932ca21c6a5725ca89542ac57b6a9eca6f" - , vpError = Nothing - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P384R1 - , vpHex = "040c7b3fb575c1db7bc61fe7a456cc34a8289f41e167938a56e5ba2787723f3de2c645112705e13ed24f477730173935ca4e0ff468e7e0acf78a9f59dadff8193a0e23789eb3737730c089b27a0f94de7d95b8db4466d017fb21a5710d6ca85775" - , vpError = Nothing - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P384R1 - , vpHex = "0438e7705220b60460194be63d21c8945be2a211957168fa60f26b2ad4e8f5cd96a7779e7edff4deda9ded63243c2127e273d4444edaaba03b79b6caafc5033432af13776f851c0c7e1080c60d7ee3b61740720ab98461813dab5fb8c31bfa9ed9" - , vpError = Nothing - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P384R1 - , vpHex = "04000836bf09614bf5b3c0ffe9b0822a2cc109a90b13d4d3510ce14f766e7d90875ec4bc8d6bee11fc1fdf97473a67884c00b1e2685367bdb846c95181b0f35a35cfbee04451122cc55a1e363acaa6c002e71b0b6ff7d0f5dc830a32f0e5086189" - , vpError = Nothing - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P384R1 - , vpHex = "04000036bf09614bf5b3c0ffe9b0822a2cc109a90b13d4d3510ce14f766e7d90875ec4bc8d6bee11fc1fdf97473a67884c00b1e2685367bdb846c95181b0f35a35cfbee04451122cc55a1e363acaa6c002e71b0b6ff7d0f5dc830a32f0e5086189" - , vpError = Just CryptoError_PointCoordinatesInvalid - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P384R1 - , vpHex = "040836bf09614bf5b3c0ffe9b0822a2cc109a90b13d4d3510ce14f766e7d90875ec4bc8d6bee11fc1fdf97473a67884cb1e2685367bdb846c95181b0f35a35cfbee04451122cc55a1e363acaa6c002e71b0b6ff7d0f5dc830a32f0e5086189" - , vpError = Nothing -- ignores leading zeros - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P384R1 - , vpHex = "0400000836bf09614bf5b3c0ffe9b0822a2cc109a90b13d4d3510ce14f766e7d90875ec4bc8d6bee11fc1fdf97473a67884c0000b1e2685367bdb846c95181b0f35a35cfbee04451122cc55a1e363acaa6c002e71b0b6ff7d0f5dc830a32f0e5086189" - , vpError = Nothing -- ignores leading zeros - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P521R1 - , vpHex = "" - , vpError = Just CryptoError_PointSizeInvalid - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P521R1 - , vpHex = "00" - , vpError = Just CryptoError_PointFormatInvalid - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P521R1 - , vpHex = "04000ce5c207335134567026063743df82c1b551a009cf616471f0e23fa9767a50cc7f8771ef13a65c49ce7e1cd1ac3ad721dcc3ddd35f98ae5d380a0832f87a9f0ca4012914911d6bea7f3c481d694fb1645be27c7b66b09b28e261f8030b3fb8206f6a95f6ad73db755765b64f592a799234f8f451cb787abe95b1a54991a799ad0d69da" - , vpError = Nothing - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P521R1 - , vpHex = "04003a5e6c1ce3a6a323757005da17b357db991bd1ad835e6201411f458b5c2edb3c66786b727b7e15fbad7dd74a4b0eb542183b5242e5952061cb85e7229353eb0dc300aac2dbd5232d582481ba7a59a993eb04c4466a1b17ba0015b65c616ce8703e70880969d8d58e633acb29c3ca017eb1b88649387b867466090ce1a57c2b4f8376bb" - , vpError = Nothing - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P521R1 - , vpHex = "04003e0659fe9498695a3d8c88b8e25fa8133c30ab10eccbe9094344c99924f89fb69d9b3acf03bf438328f9cba55fa28a05be9a7e18780706b3728abfee2592aeb86d0001ea5ff64f2ca7a6453c79f80550e971843e073f4f8fec75bad2e52a4483ebf1f16f43d0de27e1967ea22f9722527652fa74439fdc03a569fba29e2d6f7c012db6" - , vpError = Nothing - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P521R1 - , vpHex = "040043f91fd92d9ccd6d5584b265a2a775d222f4a41ff98190677d985e0889737cbe631d525835fe04faffcdebeccb783538280f4600ae82347b0470583abd9def306000a2e9bdc34f42b134517fc1e961befea0affd1f9666361a039192082a892dd722931d5865b62b69d7369e74895120e540cb10030cccb6049d809fbcf3f54537b378" - , vpError = Nothing - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P521R1 - , vpHex = "040000f91fd92d9ccd6d5584b265a2a775d222f4a41ff98190677d985e0889737cbe631d525835fe04faffcdebeccb783538280f4600ae82347b0470583abd9def306000a2e9bdc34f42b134517fc1e961befea0affd1f9666361a039192082a892dd722931d5865b62b69d7369e74895120e540cb10030cccb6049d809fbcf3f54537b378" - , vpError = Just CryptoError_PointCoordinatesInvalid - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P521R1 - , vpHex = "0443f91fd92d9ccd6d5584b265a2a775d222f4a41ff98190677d985e0889737cbe631d525835fe04faffcdebeccb783538280f4600ae82347b0470583abd9def3060a2e9bdc34f42b134517fc1e961befea0affd1f9666361a039192082a892dd722931d5865b62b69d7369e74895120e540cb10030cccb6049d809fbcf3f54537b378" - , vpError = Nothing -- ignores leading zeros - } - , VectorPoint - { vpCurve = Curve ECC.Curve_P521R1 - , vpHex = "04000043f91fd92d9ccd6d5584b265a2a775d222f4a41ff98190677d985e0889737cbe631d525835fe04faffcdebeccb783538280f4600ae82347b0470583abd9def30600000a2e9bdc34f42b134517fc1e961befea0affd1f9666361a039192082a892dd722931d5865b62b69d7369e74895120e540cb10030cccb6049d809fbcf3f54537b378" - , vpError = Nothing -- ignores leading zeros - } - , VectorPoint - { vpCurve = Curve ECC.Curve_X25519 - , vpHex = "" - , vpError = Just CryptoError_PublicKeySizeInvalid - } - , VectorPoint - { vpCurve = Curve ECC.Curve_X25519 - , vpHex = "22cd98c65fb50db3be0d6d359456c0cd3516952a6e7229ff672893944f703f10" - , vpError = Nothing - } - , VectorPoint - { vpCurve = Curve ECC.Curve_X25519 - , vpHex = "23cd98c65fb50db3be0d6d359456c0cd3516952a6e7229ff672893944f703f10" - , vpError = Nothing - } - , VectorPoint - { vpCurve = Curve ECC.Curve_X25519 - , vpHex = "0023cd98c65fb50db3be0d6d359456c0cd3516952a6e7229ff672893944f703f10" - , vpError = Just CryptoError_PublicKeySizeInvalid - } - , VectorPoint - { vpCurve = Curve ECC.Curve_X448 - , vpHex = "" - , vpError = Just CryptoError_PublicKeySizeInvalid - } - , VectorPoint - { vpCurve = Curve ECC.Curve_X448 - , vpHex = "2b162c2fef165ecbb203e40975ae4424f0f8db25ab582cb96b2e5ffe90a31798b35480b594c99dc32b437e61a74f792d8ecf5fc3e8cfeb75" - , vpError = Nothing - } - , VectorPoint - { vpCurve = Curve ECC.Curve_X448 - , vpHex = "2c162c2fef165ecbb203e40975ae4424f0f8db25ab582cb96b2e5ffe90a31798b35480b594c99dc32b437e61a74f792d8ecf5fc3e8cfeb75" - , vpError = Nothing - } - , VectorPoint - { vpCurve = Curve ECC.Curve_X448 - , vpHex = "002c162c2fef165ecbb203e40975ae4424f0f8db25ab582cb96b2e5ffe90a31798b35480b594c99dc32b437e61a74f792d8ecf5fc3e8cfeb75" - , vpError = Just CryptoError_PublicKeySizeInvalid - } - ] - -vectorsWeakPoint = - [ VectorPoint - { vpCurve = Curve ECC.Curve_X25519 - , vpHex = "0000000000000000000000000000000000000000000000000000000000000000" - , vpError = Just CryptoError_ScalarMultiplicationInvalid - } - , VectorPoint - { vpCurve = Curve ECC.Curve_X25519 - , vpHex = "0100000000000000000000000000000000000000000000000000000000000000" - , vpError = Just CryptoError_ScalarMultiplicationInvalid - } - , VectorPoint - { vpCurve = Curve ECC.Curve_X25519 - , vpHex = "e0eb7a7c3b41b8ae1656e3faf19fc46ada098deb9c32b1fd866205165f49b800" - , vpError = Just CryptoError_ScalarMultiplicationInvalid - } - , VectorPoint - { vpCurve = Curve ECC.Curve_X25519 - , vpHex = "5f9c95bca3508c24b1d0b1559c83ef5b04445cc4581c8e86d8224eddd09f1157" - , vpError = Just CryptoError_ScalarMultiplicationInvalid - } - , VectorPoint - { vpCurve = Curve ECC.Curve_X25519 - , vpHex = "ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f" - , vpError = Just CryptoError_ScalarMultiplicationInvalid - } - , VectorPoint - { vpCurve = Curve ECC.Curve_X25519 - , vpHex = "edffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f" - , vpError = Just CryptoError_ScalarMultiplicationInvalid - } - , VectorPoint - { vpCurve = Curve ECC.Curve_X25519 - , vpHex = "eeffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f" - , vpError = Just CryptoError_ScalarMultiplicationInvalid - } - , VectorPoint - { vpCurve = Curve ECC.Curve_X448 - , vpHex = "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" - , vpError = Just CryptoError_ScalarMultiplicationInvalid - } - , VectorPoint - { vpCurve = Curve ECC.Curve_X448 - , vpHex = "0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" - , vpError = Just CryptoError_ScalarMultiplicationInvalid - } - ] - -vpEncodedPoint :: VectorPoint -> ByteString -vpEncodedPoint vector = let Right bs = convertFromBase Base16 (vpHex vector) in bs - -cryptoError :: CryptoFailable a -> Maybe CryptoError -cryptoError = onCryptoFailure Just (const Nothing) - -doPointDecodeTest i vector = - case vpCurve vector of - Curve curve -> - let prx = Just curve -- using Maybe as Proxy - in testCase (show i) (vpError vector @=? cryptoError (ECC.decodePoint prx $ vpEncodedPoint vector)) - -doWeakPointECDHTest i vector = - case vpCurve vector of - Curve curve -> testCase (show i) $ do - let prx = Just curve -- using Maybe as Proxy - CryptoPassed public = ECC.decodePoint prx $ vpEncodedPoint vector - keyPair <- ECC.curveGenerateKeyPair prx - vpError vector @=? cryptoError (ECC.ecdh prx (ECC.keypairGetPrivate keyPair) public) - -tests = testGroup "ECC" - [ testGroup "decodePoint" $ zipWith doPointDecodeTest [katZero..] vectorsPoint - , testGroup "ECDH weak points" $ zipWith doWeakPointECDHTest [katZero..] vectorsWeakPoint - , testGroup "property" - [ testProperty "decodePoint.encodePoint==id" $ \testDRG (Curve curve) -> - let prx = Just curve -- using Maybe as Proxy - keyPair = withTestDRG testDRG $ ECC.curveGenerateKeyPair prx - p1 = ECC.keypairGetPublic keyPair - bs = ECC.encodePoint prx p1 :: ByteString - p2 = ECC.decodePoint prx bs - in CryptoPassed p1 == p2 - , localOption (QuickCheckTests 20) $ testProperty "ECDH commutes" $ \testDRG (Curve curve) -> - let prx = Just curve -- using Maybe as Proxy - (alice, bob) = withTestDRG testDRG $ - (,) <$> ECC.curveGenerateKeyPair prx - <*> ECC.curveGenerateKeyPair prx - aliceShared = ECC.ecdh prx (ECC.keypairGetPrivate alice) (ECC.keypairGetPublic bob) - bobShared = ECC.ecdh prx (ECC.keypairGetPrivate bob) (ECC.keypairGetPublic alice) - aliceShared' = ECC.ecdhRaw prx (ECC.keypairGetPrivate alice) (ECC.keypairGetPublic bob) - bobShared' = ECC.ecdhRaw prx (ECC.keypairGetPrivate bob) (ECC.keypairGetPublic alice) - in aliceShared == bobShared && aliceShared == CryptoPassed aliceShared' - && bobShared == CryptoPassed bobShared' - , testProperty "decodeScalar.encodeScalar==id" $ \testDRG (CurveArith curve) -> - let prx = Just curve -- using Maybe as Proxy - s1 = withTestDRG testDRG $ ECC.curveGenerateScalar prx - bs = ECC.encodeScalar prx s1 :: ByteString - s2 = ECC.decodeScalar prx bs - in CryptoPassed s1 == s2 - , testProperty "scalarFromInteger.scalarToInteger==id" $ \testDRG (CurveArith curve) -> - let prx = Just curve -- using Maybe as Proxy - s1 = withTestDRG testDRG $ ECC.curveGenerateScalar prx - bs = ECC.scalarToInteger prx s1 - s2 = ECC.scalarFromInteger prx bs - in CryptoPassed s1 == s2 - , localOption (QuickCheckTests 20) $ testProperty "(a + b).P = a.P + b.P" $ \testDRG (CurveArith curve) -> - let prx = Just curve -- using Maybe as Proxy - (s, a, b) = withTestDRG testDRG $ - (,,) <$> ECC.curveGenerateScalar prx - <*> ECC.curveGenerateScalar prx - <*> ECC.curveGenerateScalar prx - p = ECC.pointBaseSmul prx s - in ECC.pointSmul prx (ECC.scalarAdd prx a b) p == ECC.pointAdd prx (ECC.pointSmul prx a p) (ECC.pointSmul prx b p) - , localOption (QuickCheckTests 20) $ testProperty "(a * b).P = a.(b.P)" $ \testDRG (CurveArith curve) -> - let prx = Just curve -- using Maybe as Proxy - (s, a, b) = withTestDRG testDRG $ - (,,) <$> ECC.curveGenerateScalar prx - <*> ECC.curveGenerateScalar prx - <*> ECC.curveGenerateScalar prx - p = ECC.pointBaseSmul prx s - in ECC.pointSmul prx (ECC.scalarMul prx a b) p == ECC.pointSmul prx a (ECC.pointSmul prx b p) - ] - ] diff --git a/tests/ECC/Edwards25519.hs b/tests/ECC/Edwards25519.hs deleted file mode 100644 --- a/tests/ECC/Edwards25519.hs +++ /dev/null @@ -1,147 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module ECC.Edwards25519 ( tests ) where - -import Crypto.Error -import Crypto.ECC.Edwards25519 -import qualified Data.ByteString as B -import Data.Word (Word8) -import Imports - -instance Arbitrary Scalar where - arbitrary = fmap (throwCryptoError . scalarDecodeLong) - (arbitraryBS 64) - -smallScalar :: Word8 -> Scalar -smallScalar = throwCryptoError . scalarDecodeLong . B.singleton - -newtype PrimeOrder = PrimeOrder Point - deriving Show - --- points in the prime-order subgroup -instance Arbitrary PrimeOrder where - arbitrary = (PrimeOrder . toPoint) `fmap` arbitrary - --- arbitrary curve point, including points with a torsion component -instance Arbitrary Point where - arbitrary = do a <- arbitrary - b <- elements $ map smallScalar [0 .. 7] - return (pointsMulVarTime a b torsion8) - --- an 8-torsion point -torsion8 :: Point -torsion8 = throwCryptoError $ pointDecode ("\199\ETBjp=M\216O\186<\vv\r\DLEg\SI* S\250,9\204\198N\199\253w\146\172\ETXz" :: ByteString) - -tests = testGroup "ECC.Edwards25519" - [ testGroup "vectors" - [ testCase "11*G" $ p011 @=? toPoint s011 - , testCase "123*G" $ p123 @=? toPoint s123 - , testCase "134*G" $ p134 @=? toPoint s134 - , testCase "123*G + 11*G" $ p134 @=? pointAdd p123 p011 - ] - , testGroup "scalar arithmetic" - [ testProperty "scalarDecodeLong.scalarEncode==id" $ \s -> - let bs = scalarEncode s :: ByteString - ss = scalarDecodeLong bs - in CryptoPassed s `propertyEq` ss - , testCase "curve order" $ s0 @=? sN - , testProperty "addition with zero" $ \s -> - propertyHold [ eqTest "zero left" s (scalarAdd s0 s) - , eqTest "zero right" s (scalarAdd s s0) - ] - , testProperty "addition associative" $ \sa sb sc -> - scalarAdd sa (scalarAdd sb sc) === scalarAdd (scalarAdd sa sb) sc - , testProperty "addition commutative" $ \sa sb -> - scalarAdd sa sb === scalarAdd sb sa - , testProperty "multiplication with zero" $ \s -> - propertyHold [ eqTest "zero left" s0 (scalarMul s0 s) - , eqTest "zero right" s0 (scalarMul s s0) - ] - , testProperty "multiplication with one" $ \s -> - propertyHold [ eqTest "one left" s (scalarMul s1 s) - , eqTest "one right" s (scalarMul s s1) - ] - , testProperty "multiplication associative" $ \sa sb sc -> - scalarMul sa (scalarMul sb sc) === scalarMul (scalarMul sa sb) sc - , testProperty "multiplication commutative" $ \sa sb -> - scalarMul sa sb === scalarMul sb sa - , testProperty "multiplication distributive" $ \sa sb sc -> - propertyHold [ eqTest "distributive left" ((sa `scalarMul` sb) `scalarAdd` (sa `scalarMul` sc)) - (sa `scalarMul` (sb `scalarAdd` sc)) - , eqTest "distributive right" ((sb `scalarMul` sa) `scalarAdd` (sc `scalarMul` sa)) - ((sb `scalarAdd` sc) `scalarMul` sa) - ] - ] - , testGroup "point arithmetic" - [ testProperty "pointDecode.pointEncode==id" $ \p -> - let bs = pointEncode p :: ByteString - p' = pointDecode bs - in CryptoPassed p `propertyEq` p' - , testProperty "pointEncode.pointDecode==id" $ \p -> - let b = pointEncode p :: ByteString - p' = pointDecode b - b' = pointEncode `fmap` p' - in CryptoPassed b `propertyEq` b' - , testProperty "addition with identity" $ \p -> - propertyHold [ eqTest "identity left" p (pointAdd p0 p) - , eqTest "identity right" p (pointAdd p p0) - ] - , testProperty "addition associative" $ \pa pb pc -> - pointAdd pa (pointAdd pb pc) === pointAdd (pointAdd pa pb) pc - , testProperty "addition commutative" $ \pa pb -> - pointAdd pa pb === pointAdd pb pa - , testProperty "negation" $ \p -> - p0 `propertyEq` pointAdd p (pointNegate p) - , testProperty "doubling" $ \p -> - pointAdd p p `propertyEq` pointDouble p - , testProperty "multiplication by cofactor" $ \p -> - pointMul s8 p `propertyEq` pointMulByCofactor p - , testProperty "prime order" $ \(PrimeOrder p) -> - True `propertyEq` pointHasPrimeOrder p - , testCase "8-torsion point" $ do - assertBool "mul by 4" $ p0 /= pointMul s4 torsion8 - assertBool "mul by 8" $ p0 == pointMul s8 torsion8 - , testProperty "scalarmult with zero" $ \p -> - p0 `propertyEq` pointMul s0 p - , testProperty "scalarmult with one" $ \p -> - p `propertyEq` pointMul s1 p - , testProperty "scalarmult with two" $ \p -> - pointDouble p `propertyEq` pointMul s2 p - , testProperty "scalarmult with curve order - 1" $ \p -> - pointHasPrimeOrder p === (pointNegate p == pointMul sI p) - , testProperty "scalarmult commutative" $ \a b -> - pointMul a (toPoint b) === pointMul b (toPoint a) - , testProperty "scalarmult distributive" $ \x y (PrimeOrder p) -> - let pR = pointMul x p `pointAdd` pointMul y p - in pR `propertyEq` pointMul (x `scalarAdd` y) p - , testProperty "double scalarmult" $ \n1 n2 p -> - let pR = pointAdd (toPoint n1) (pointMul n2 p) - in pR `propertyEq` pointsMulVarTime n1 n2 p - ] - ] - where - p0 = toPoint s0 - s0 = smallScalar 0 - s1 = smallScalar 1 - s2 = smallScalar 2 - s4 = smallScalar 4 - s8 = smallScalar 8 - sI = throwCryptoError $ scalarDecodeLong ("\236\211\245\\\SUBc\DC2X\214\156\247\162\222\249\222\DC4\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\DLE" :: ByteString) - sN = throwCryptoError $ scalarDecodeLong ("\237\211\245\\\SUBc\DC2X\214\156\247\162\222\249\222\DC4\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\DLE" :: ByteString) - - s011 = throwCryptoError $ scalarDecodeLong ("\011" :: ByteString) - s123 = throwCryptoError $ scalarDecodeLong ("\123" :: ByteString) - s134 = throwCryptoError $ scalarDecodeLong ("\134" :: ByteString) - - p011 = throwCryptoError $ pointDecode ("\x13\x37\x03\x6a\xc3\x2d\x8f\x30\xd4\x58\x9c\x3c\x1c\x59\x58\x12\xce\x0f\xff\x40\xe3\x7c\x6f\x5a\x97\xab\x21\x3f\x31\x82\x90\xad" :: ByteString) - p123 = throwCryptoError $ pointDecode ("\xc4\xb8\x00\xc8\x70\x10\xf9\x46\x83\x03\xde\xea\x87\x65\x03\xe8\x86\xbf\xde\x19\x00\xe9\xe8\x46\xfd\x4c\x3c\xd0\x9c\x1c\xbc\x9f" :: ByteString) - p134 = throwCryptoError $ pointDecode ("\x51\x20\xab\xe0\x3c\xa2\xaf\x66\xc7\x7c\xa3\x20\xf0\xb2\x1f\xb5\x56\xf6\xb6\x5f\xdd\x7e\x32\x64\xc1\x4a\x30\xd9\x7b\xf7\xa7\x6f" :: ByteString) - - -- Using : - -- - -- >>> import ed25519 - -- >>> encodepoint(scalarmult(B, 11)).encode('hex') - -- '1337036ac32d8f30d4589c3c1c595812ce0fff40e37c6f5a97ab213f318290ad' - -- >>> encodepoint(scalarmult(B, 123)).encode('hex') - -- 'c4b800c87010f9468303deea876503e886bfde1900e9e846fd4c3cd09c1cbc9f' - -- >>> encodepoint(scalarmult(B, 134)).encode('hex') - -- '5120abe03ca2af66c77ca320f0b21fb556f6b65fdd7e3264c14a30d97bf7a76f' diff --git a/tests/ECC/Edwards25519Spec.hs b/tests/ECC/Edwards25519Spec.hs new file mode 100644 --- /dev/null +++ b/tests/ECC/Edwards25519Spec.hs @@ -0,0 +1,187 @@ +{-# LANGUAGE OverloadedStrings #-} + +module ECC.Edwards25519Spec (spec) where + +import Crypto.ECC.Edwards25519 +import Crypto.Error +import qualified Data.ByteString as B +import Data.Word (Word8) +import Imports + +instance Arbitrary Scalar where + arbitrary = + fmap + (throwCryptoError . scalarDecodeLong) + (arbitraryBS 64) + +smallScalar :: Word8 -> Scalar +smallScalar = throwCryptoError . scalarDecodeLong . B.singleton + +newtype PrimeOrder = PrimeOrder Point + deriving (Show) + +-- points in the prime-order subgroup +instance Arbitrary PrimeOrder where + arbitrary = (PrimeOrder . toPoint) `fmap` arbitrary + +-- arbitrary curve point, including points with a torsion component +instance Arbitrary Point where + arbitrary = do + a <- arbitrary + b <- elements $ map smallScalar [0 .. 7] + return (pointsMulVarTime a b torsion8) + +-- an 8-torsion point +torsion8 :: Point +torsion8 = + throwCryptoError $ + pointDecode + ( "\199\ETBjp=M\216O\186<\vv\r\DLEg\SI* S\250,9\204\198N\199\253w\146\172\ETXz" + :: ByteString + ) + +spec :: Spec +spec = do + describe "vectors" $ do + it "11*G" $ toPoint s011 `shouldBe` p011 + it "123*G" $ toPoint s123 `shouldBe` p123 + it "134*G" $ toPoint s134 `shouldBe` p134 + it "123*G + 11*G" $ pointAdd p123 p011 `shouldBe` p134 + describe "scalar arithmetic" $ do + prop "scalarDecodeLong.scalarEncode==id" $ \s -> + let bs = scalarEncode s :: ByteString + ss = scalarDecodeLong bs + in CryptoPassed s `propertyEq` ss + it "curve order" $ sN `shouldBe` s0 + prop "addition with zero" $ \s -> + propertyHold + [ eqTest "zero left" s (scalarAdd s0 s) + , eqTest "zero right" s (scalarAdd s s0) + ] + prop "addition associative" $ \sa sb sc -> + scalarAdd sa (scalarAdd sb sc) === scalarAdd (scalarAdd sa sb) sc + prop "addition commutative" $ \sa sb -> + scalarAdd sa sb === scalarAdd sb sa + prop "multiplication with zero" $ \s -> + propertyHold + [ eqTest "zero left" s0 (scalarMul s0 s) + , eqTest "zero right" s0 (scalarMul s s0) + ] + prop "multiplication with one" $ \s -> + propertyHold + [ eqTest "one left" s (scalarMul s1 s) + , eqTest "one right" s (scalarMul s s1) + ] + prop "multiplication associative" $ \sa sb sc -> + scalarMul sa (scalarMul sb sc) === scalarMul (scalarMul sa sb) sc + prop "multiplication commutative" $ \sa sb -> + scalarMul sa sb === scalarMul sb sa + prop "multiplication distributive" $ \sa sb sc -> + propertyHold + [ eqTest + "distributive left" + ((sa `scalarMul` sb) `scalarAdd` (sa `scalarMul` sc)) + (sa `scalarMul` (sb `scalarAdd` sc)) + , eqTest + "distributive right" + ((sb `scalarMul` sa) `scalarAdd` (sc `scalarMul` sa)) + ((sb `scalarAdd` sc) `scalarMul` sa) + ] + describe "point arithmetic" $ do + prop "pointDecode.pointEncode==id" $ \p -> + let bs = pointEncode p :: ByteString + p' = pointDecode bs + in CryptoPassed p `propertyEq` p' + prop "pointEncode.pointDecode==id" $ \p -> + let b = pointEncode p :: ByteString + p' = pointDecode b + b' = pointEncode `fmap` p' + in CryptoPassed b `propertyEq` b' + prop "addition with identity" $ \p -> + propertyHold + [ eqTest "identity left" p (pointAdd p0 p) + , eqTest "identity right" p (pointAdd p p0) + ] + prop "addition associative" $ \pa pb pc -> + pointAdd pa (pointAdd pb pc) === pointAdd (pointAdd pa pb) pc + prop "addition commutative" $ \pa pb -> + pointAdd pa pb === pointAdd pb pa + prop "negation" $ \p -> + p0 `propertyEq` pointAdd p (pointNegate p) + prop "doubling" $ \p -> + pointAdd p p `propertyEq` pointDouble p + prop "multiplication by cofactor" $ \p -> + pointMul s8 p `propertyEq` pointMulByCofactor p + prop "prime order" $ \(PrimeOrder p) -> + True `propertyEq` pointHasPrimeOrder p + it "8-torsion point" $ do + assertBool "mul by 4" $ p0 /= pointMul s4 torsion8 + assertBool "mul by 8" $ p0 == pointMul s8 torsion8 + prop "scalarmult with zero" $ \p -> + p0 `propertyEq` pointMul s0 p + prop "scalarmult with one" $ \p -> + p `propertyEq` pointMul s1 p + prop "scalarmult with two" $ \p -> + pointDouble p `propertyEq` pointMul s2 p + prop "scalarmult with curve order - 1" $ \p -> + pointHasPrimeOrder p === (pointNegate p == pointMul sI p) + prop "scalarmult commutative" $ \a b -> + pointMul a (toPoint b) === pointMul b (toPoint a) + prop "scalarmult distributive" $ \x y (PrimeOrder p) -> + let pR = pointMul x p `pointAdd` pointMul y p + in pR `propertyEq` pointMul (x `scalarAdd` y) p + prop "double scalarmult" $ \n1 n2 p -> + let pR = pointAdd (toPoint n1) (pointMul n2 p) + in pR `propertyEq` pointsMulVarTime n1 n2 p + where + p0 = toPoint s0 + s0 = smallScalar 0 + s1 = smallScalar 1 + s2 = smallScalar 2 + s4 = smallScalar 4 + s8 = smallScalar 8 + sI = + throwCryptoError $ + scalarDecodeLong + ( "\236\211\245\\\SUBc\DC2X\214\156\247\162\222\249\222\DC4\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\DLE" + :: ByteString + ) + sN = + throwCryptoError $ + scalarDecodeLong + ( "\237\211\245\\\SUBc\DC2X\214\156\247\162\222\249\222\DC4\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\NUL\DLE" + :: ByteString + ) + + s011 = throwCryptoError $ scalarDecodeLong ("\011" :: ByteString) + s123 = throwCryptoError $ scalarDecodeLong ("\123" :: ByteString) + s134 = throwCryptoError $ scalarDecodeLong ("\134" :: ByteString) + + p011 = + throwCryptoError $ + pointDecode + ( "\x13\x37\x03\x6a\xc3\x2d\x8f\x30\xd4\x58\x9c\x3c\x1c\x59\x58\x12\xce\x0f\xff\x40\xe3\x7c\x6f\x5a\x97\xab\x21\x3f\x31\x82\x90\xad" + :: ByteString + ) + p123 = + throwCryptoError $ + pointDecode + ( "\xc4\xb8\x00\xc8\x70\x10\xf9\x46\x83\x03\xde\xea\x87\x65\x03\xe8\x86\xbf\xde\x19\x00\xe9\xe8\x46\xfd\x4c\x3c\xd0\x9c\x1c\xbc\x9f" + :: ByteString + ) + p134 = + throwCryptoError $ + pointDecode + ( "\x51\x20\xab\xe0\x3c\xa2\xaf\x66\xc7\x7c\xa3\x20\xf0\xb2\x1f\xb5\x56\xf6\xb6\x5f\xdd\x7e\x32\x64\xc1\x4a\x30\xd9\x7b\xf7\xa7\x6f" + :: ByteString + ) + +-- Using : +-- +-- >>> import ed25519 +-- >>> encodepoint(scalarmult(B, 11)).encode('hex') +-- '1337036ac32d8f30d4589c3c1c595812ce0fff40e37c6f5a97ab213f318290ad' +-- >>> encodepoint(scalarmult(B, 123)).encode('hex') +-- 'c4b800c87010f9468303deea876503e886bfde1900e9e846fd4c3cd09c1cbc9f' +-- >>> encodepoint(scalarmult(B, 134)).encode('hex') +-- '5120abe03ca2af66c77ca320f0b21fb556f6b65fdd7e3264c14a30d97bf7a76f' diff --git a/tests/ECCSpec.hs b/tests/ECCSpec.hs new file mode 100644 --- /dev/null +++ b/tests/ECCSpec.hs @@ -0,0 +1,426 @@ +{-# LANGUAGE ExistentialQuantification #-} +{-# LANGUAGE FlexibleContexts #-} +{-# LANGUAGE OverloadedStrings #-} + +module ECCSpec (spec) where + +import Data.Either + +import qualified Crypto.ECC as ECC +import Crypto.Error + +import Data.ByteArray (convert) +import Data.ByteArray.Encoding + +import Imports + +data Curve + = forall curve. + (ECC.EllipticCurveDH curve, Show curve, Eq (ECC.Point curve)) => + Curve curve + +instance Show Curve where + showsPrec d (Curve curve) = showsPrec d curve + +instance Arbitrary Curve where + arbitrary = + elements + [ Curve ECC.Curve_P256R1 + , Curve ECC.Curve_P384R1 + , Curve ECC.Curve_P521R1 + , Curve ECC.Curve_X25519 + , Curve ECC.Curve_X448 + ] + +data CurveArith + = forall curve. (ECC.EllipticCurveBasepointArith curve, Show curve) => CurveArith curve + +instance Show CurveArith where + showsPrec d (CurveArith curve) = showsPrec d curve + +instance Arbitrary CurveArith where + arbitrary = + elements + [ CurveArith ECC.Curve_P256R1 + , CurveArith ECC.Curve_P384R1 + , CurveArith ECC.Curve_P521R1 + , CurveArith ECC.Curve_Edwards25519 + ] + +data VectorPoint = VectorPoint + { vpCurve :: Curve + , vpHex :: ByteString + , vpError :: Maybe CryptoError + } + +vectorsPoint :: [VectorPoint] +vectorsPoint = + [ VectorPoint + { vpCurve = Curve ECC.Curve_P256R1 + , vpHex = "" + , vpError = Just CryptoError_PointSizeInvalid + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P256R1 + , vpHex = "00" + , vpError = Just CryptoError_PointFormatInvalid + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P256R1 + , vpHex = + "0408edd7b50085a952172228aca391beebe9ba942a0ae9eb15bcc8d50795d1a5505221c7b9b3bb4310f165fc3ac3114339db8170ceae6697e0f9736698b33551b8" + , vpError = Nothing + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P256R1 + , vpHex = + "04216f25b00717d46deef3402628f6abf265bfa12aea515ae8f100ce415e251e72cd5cd8f47f613a0f4e0f4f9410dd9c85c149cffcb320c2d52bf550a397ec92e5" + , vpError = Nothing + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P256R1 + , vpHex = + "0421eba6080610926609bb8d52afd3331ed1b07e0ba4c1441a118b62497d3e85f39a50c865027cdd84298cdf094b7818f2a65ae59f46c971a32ab4ea3c2c93c959" + , vpError = Nothing + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P256R1 + , vpHex = + "0400d7fc4050dfe73475502d5d1fadc105d7725508f48da2cd4729bf191fd6490a0001a16f417a27530e756efeb4a228f02db878072b9f833e99a2821d85fa78fc" + , vpError = Nothing + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P256R1 + , vpHex = + "040000fc4050dfe73475502d5d1fadc105d7725508f48da2cd4729bf191fd6490a0001a16f417a27530e756efeb4a228f02db878072b9f833e99a2821d85fa78fc" + , vpError = Just CryptoError_PointCoordinatesInvalid + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P256R1 + , vpHex = + "04d7fc4050dfe73475502d5d1fadc105d7725508f48da2cd4729bf191fd6490a01a16f417a27530e756efeb4a228f02db878072b9f833e99a2821d85fa78fc" + , vpError = Just CryptoError_PublicKeySizeInvalid -- tests leading zeros + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P256R1 + , vpHex = + "040000d7fc4050dfe73475502d5d1fadc105d7725508f48da2cd4729bf191fd6490a000001a16f417a27530e756efeb4a228f02db878072b9f833e99a2821d85fa78fc" + , vpError = Just CryptoError_PublicKeySizeInvalid -- tests leading zeros + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P384R1 + , vpHex = "" + , vpError = Just CryptoError_PointSizeInvalid + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P384R1 + , vpHex = "00" + , vpError = Just CryptoError_PointFormatInvalid + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P384R1 + , vpHex = + "0409281a103fb1773445e16eec86adb095e32928ccc9c806bd210c649712813bdb6cab40163a8cb163b578ea8dda5eb32cfb5208ebf0d31a6c590fa92f5a61f32dbc0d518b166ea5a9adf9dd21c1bd09932ca21c6a5725ca89542ac57b6a9eca6f" + , vpError = Nothing + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P384R1 + , vpHex = + "040c7b3fb575c1db7bc61fe7a456cc34a8289f41e167938a56e5ba2787723f3de2c645112705e13ed24f477730173935ca4e0ff468e7e0acf78a9f59dadff8193a0e23789eb3737730c089b27a0f94de7d95b8db4466d017fb21a5710d6ca85775" + , vpError = Nothing + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P384R1 + , vpHex = + "0438e7705220b60460194be63d21c8945be2a211957168fa60f26b2ad4e8f5cd96a7779e7edff4deda9ded63243c2127e273d4444edaaba03b79b6caafc5033432af13776f851c0c7e1080c60d7ee3b61740720ab98461813dab5fb8c31bfa9ed9" + , vpError = Nothing + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P384R1 + , vpHex = + "04000836bf09614bf5b3c0ffe9b0822a2cc109a90b13d4d3510ce14f766e7d90875ec4bc8d6bee11fc1fdf97473a67884c00b1e2685367bdb846c95181b0f35a35cfbee04451122cc55a1e363acaa6c002e71b0b6ff7d0f5dc830a32f0e5086189" + , vpError = Nothing + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P384R1 + , vpHex = + "04000036bf09614bf5b3c0ffe9b0822a2cc109a90b13d4d3510ce14f766e7d90875ec4bc8d6bee11fc1fdf97473a67884c00b1e2685367bdb846c95181b0f35a35cfbee04451122cc55a1e363acaa6c002e71b0b6ff7d0f5dc830a32f0e5086189" + , vpError = Just CryptoError_PointCoordinatesInvalid + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P384R1 + , vpHex = + "040836bf09614bf5b3c0ffe9b0822a2cc109a90b13d4d3510ce14f766e7d90875ec4bc8d6bee11fc1fdf97473a67884cb1e2685367bdb846c95181b0f35a35cfbee04451122cc55a1e363acaa6c002e71b0b6ff7d0f5dc830a32f0e5086189" + , vpError = Nothing -- ignores leading zeros + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P384R1 + , vpHex = + "0400000836bf09614bf5b3c0ffe9b0822a2cc109a90b13d4d3510ce14f766e7d90875ec4bc8d6bee11fc1fdf97473a67884c0000b1e2685367bdb846c95181b0f35a35cfbee04451122cc55a1e363acaa6c002e71b0b6ff7d0f5dc830a32f0e5086189" + , vpError = Nothing -- ignores leading zeros + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P521R1 + , vpHex = "" + , vpError = Just CryptoError_PointSizeInvalid + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P521R1 + , vpHex = "00" + , vpError = Just CryptoError_PointFormatInvalid + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P521R1 + , vpHex = + "04000ce5c207335134567026063743df82c1b551a009cf616471f0e23fa9767a50cc7f8771ef13a65c49ce7e1cd1ac3ad721dcc3ddd35f98ae5d380a0832f87a9f0ca4012914911d6bea7f3c481d694fb1645be27c7b66b09b28e261f8030b3fb8206f6a95f6ad73db755765b64f592a799234f8f451cb787abe95b1a54991a799ad0d69da" + , vpError = Nothing + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P521R1 + , vpHex = + "04003a5e6c1ce3a6a323757005da17b357db991bd1ad835e6201411f458b5c2edb3c66786b727b7e15fbad7dd74a4b0eb542183b5242e5952061cb85e7229353eb0dc300aac2dbd5232d582481ba7a59a993eb04c4466a1b17ba0015b65c616ce8703e70880969d8d58e633acb29c3ca017eb1b88649387b867466090ce1a57c2b4f8376bb" + , vpError = Nothing + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P521R1 + , vpHex = + "04003e0659fe9498695a3d8c88b8e25fa8133c30ab10eccbe9094344c99924f89fb69d9b3acf03bf438328f9cba55fa28a05be9a7e18780706b3728abfee2592aeb86d0001ea5ff64f2ca7a6453c79f80550e971843e073f4f8fec75bad2e52a4483ebf1f16f43d0de27e1967ea22f9722527652fa74439fdc03a569fba29e2d6f7c012db6" + , vpError = Nothing + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P521R1 + , vpHex = + "040043f91fd92d9ccd6d5584b265a2a775d222f4a41ff98190677d985e0889737cbe631d525835fe04faffcdebeccb783538280f4600ae82347b0470583abd9def306000a2e9bdc34f42b134517fc1e961befea0affd1f9666361a039192082a892dd722931d5865b62b69d7369e74895120e540cb10030cccb6049d809fbcf3f54537b378" + , vpError = Nothing + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P521R1 + , vpHex = + "040000f91fd92d9ccd6d5584b265a2a775d222f4a41ff98190677d985e0889737cbe631d525835fe04faffcdebeccb783538280f4600ae82347b0470583abd9def306000a2e9bdc34f42b134517fc1e961befea0affd1f9666361a039192082a892dd722931d5865b62b69d7369e74895120e540cb10030cccb6049d809fbcf3f54537b378" + , vpError = Just CryptoError_PointCoordinatesInvalid + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P521R1 + , vpHex = + "0443f91fd92d9ccd6d5584b265a2a775d222f4a41ff98190677d985e0889737cbe631d525835fe04faffcdebeccb783538280f4600ae82347b0470583abd9def3060a2e9bdc34f42b134517fc1e961befea0affd1f9666361a039192082a892dd722931d5865b62b69d7369e74895120e540cb10030cccb6049d809fbcf3f54537b378" + , vpError = Nothing -- ignores leading zeros + } + , VectorPoint + { vpCurve = Curve ECC.Curve_P521R1 + , vpHex = + "04000043f91fd92d9ccd6d5584b265a2a775d222f4a41ff98190677d985e0889737cbe631d525835fe04faffcdebeccb783538280f4600ae82347b0470583abd9def30600000a2e9bdc34f42b134517fc1e961befea0affd1f9666361a039192082a892dd722931d5865b62b69d7369e74895120e540cb10030cccb6049d809fbcf3f54537b378" + , vpError = Nothing -- ignores leading zeros + } + , VectorPoint + { vpCurve = Curve ECC.Curve_X25519 + , vpHex = "" + , vpError = Just CryptoError_PublicKeySizeInvalid + } + , VectorPoint + { vpCurve = Curve ECC.Curve_X25519 + , vpHex = "22cd98c65fb50db3be0d6d359456c0cd3516952a6e7229ff672893944f703f10" + , vpError = Nothing + } + , VectorPoint + { vpCurve = Curve ECC.Curve_X25519 + , vpHex = "23cd98c65fb50db3be0d6d359456c0cd3516952a6e7229ff672893944f703f10" + , vpError = Nothing + } + , VectorPoint + { vpCurve = Curve ECC.Curve_X25519 + , vpHex = "0023cd98c65fb50db3be0d6d359456c0cd3516952a6e7229ff672893944f703f10" + , vpError = Just CryptoError_PublicKeySizeInvalid + } + , VectorPoint + { vpCurve = Curve ECC.Curve_X448 + , vpHex = "" + , vpError = Just CryptoError_PublicKeySizeInvalid + } + , VectorPoint + { vpCurve = Curve ECC.Curve_X448 + , vpHex = + "2b162c2fef165ecbb203e40975ae4424f0f8db25ab582cb96b2e5ffe90a31798b35480b594c99dc32b437e61a74f792d8ecf5fc3e8cfeb75" + , vpError = Nothing + } + , VectorPoint + { vpCurve = Curve ECC.Curve_X448 + , vpHex = + "2c162c2fef165ecbb203e40975ae4424f0f8db25ab582cb96b2e5ffe90a31798b35480b594c99dc32b437e61a74f792d8ecf5fc3e8cfeb75" + , vpError = Nothing + } + , VectorPoint + { vpCurve = Curve ECC.Curve_X448 + , vpHex = + "002c162c2fef165ecbb203e40975ae4424f0f8db25ab582cb96b2e5ffe90a31798b35480b594c99dc32b437e61a74f792d8ecf5fc3e8cfeb75" + , vpError = Just CryptoError_PublicKeySizeInvalid + } + ] + +vectorsWeakPoint :: [VectorPoint] +vectorsWeakPoint = + [ VectorPoint + { vpCurve = Curve ECC.Curve_X25519 + , vpHex = "0000000000000000000000000000000000000000000000000000000000000000" + , vpError = Just CryptoError_ScalarMultiplicationInvalid + } + , VectorPoint + { vpCurve = Curve ECC.Curve_X25519 + , vpHex = "0100000000000000000000000000000000000000000000000000000000000000" + , vpError = Just CryptoError_ScalarMultiplicationInvalid + } + , VectorPoint + { vpCurve = Curve ECC.Curve_X25519 + , vpHex = "e0eb7a7c3b41b8ae1656e3faf19fc46ada098deb9c32b1fd866205165f49b800" + , vpError = Just CryptoError_ScalarMultiplicationInvalid + } + , VectorPoint + { vpCurve = Curve ECC.Curve_X25519 + , vpHex = "5f9c95bca3508c24b1d0b1559c83ef5b04445cc4581c8e86d8224eddd09f1157" + , vpError = Just CryptoError_ScalarMultiplicationInvalid + } + , VectorPoint + { vpCurve = Curve ECC.Curve_X25519 + , vpHex = "ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f" + , vpError = Just CryptoError_ScalarMultiplicationInvalid + } + , VectorPoint + { vpCurve = Curve ECC.Curve_X25519 + , vpHex = "edffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f" + , vpError = Just CryptoError_ScalarMultiplicationInvalid + } + , VectorPoint + { vpCurve = Curve ECC.Curve_X25519 + , vpHex = "eeffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f" + , vpError = Just CryptoError_ScalarMultiplicationInvalid + } + , VectorPoint + { vpCurve = Curve ECC.Curve_X448 + , vpHex = + "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" + , vpError = Just CryptoError_ScalarMultiplicationInvalid + } + , VectorPoint + { vpCurve = Curve ECC.Curve_X448 + , vpHex = + "0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" + , vpError = Just CryptoError_ScalarMultiplicationInvalid + } + ] + +vpEncodedPoint :: VectorPoint -> ByteString +vpEncodedPoint vector = fromRight (error "vpEncodedPoint") $ convertFromBase Base16 (vpHex vector) + +-- Wycheproof ecdh_secp256r1_ecpoint_test.json, tcIds 1 and 3. +vectorsECDH :: [(ByteString, ByteString, ByteString)] +vectorsECDH = + [ + ( "0612465c89a023ab17855b0a6bcebfd3febb53aef84138647b5352e02c10c346" + , "0462d5bd3372af75fe85a040715d0f502428e07046868b0bfdfa61d731afe44f26ac333a93a9e70a81cd5a95b5bf8d13990eb741c8c38872b4a07d275a014e30cf" + , "53020d908b0219328b658b525f26780e3ae12bcd952bb25a93bc0895e1714285" + ) + , + ( "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a" + , "0458fd4168a87795603e2b04390285bdca6e57de6027fe211dd9d25e2212d29e62080d36bd224d7405509295eed02a17150e03b314f96da37445b0d1d29377d12c" + , "0000000000000000000000000000000000000000000000000000000000000000" + ) + ] + +unhex :: ByteString -> ByteString +unhex = fromRight (error "unhex") . convertFromBase Base16 + +doECDHTest :: Show p => p -> (ByteString, ByteString, ByteString) -> Spec +doECDHTest i (priv, pub, shared) = + it (show i) $ + (convert <$> ECC.ecdh prx sk pk) `shouldBe` CryptoPassed (unhex shared) + where + prx = Just ECC.Curve_P256R1 + sk = throwCryptoError $ ECC.decodeScalar prx (unhex priv) + pk = throwCryptoError $ ECC.decodePoint prx (unhex pub) + +cryptoError :: CryptoFailable a -> Maybe CryptoError +cryptoError = onCryptoFailure Just (const Nothing) + +doPointDecodeTest :: Show p => p -> VectorPoint -> Spec +doPointDecodeTest i vector = + case vpCurve vector of + Curve curve -> + let prx = Just curve -- using Maybe as Proxy + in it + (show i) + ( cryptoError (ECC.decodePoint prx $ vpEncodedPoint vector) + `shouldBe` vpError vector + ) + +doWeakPointECDHTest :: Show p => p -> VectorPoint -> Spec +doWeakPointECDHTest i vector = + case vpCurve vector of + Curve curve -> it (show i) $ do + let prx = Just curve -- using Maybe as Proxy + public = throwCryptoError $ ECC.decodePoint prx $ vpEncodedPoint vector + keyPair <- ECC.curveGenerateKeyPair prx + cryptoError (ECC.ecdh prx (ECC.keypairGetPrivate keyPair) public) + `shouldBe` vpError vector + +spec :: Spec +spec = do + describe "decodePoint" $ zipWithM_ doPointDecodeTest [katZero ..] vectorsPoint + describe "ECDH KATs" $ zipWithM_ doECDHTest [katZero ..] vectorsECDH + describe "ECDH weak points" $ + sequence_ $ + zipWith doWeakPointECDHTest [katZero ..] vectorsWeakPoint + describe "property" $ do + prop "decodePoint.encodePoint==id" $ \testDRG (Curve curve) -> + let prx = Just curve -- using Maybe as Proxy + keyPair = withTestDRG testDRG $ ECC.curveGenerateKeyPair prx + p1 = ECC.keypairGetPublic keyPair + bs = ECC.encodePoint prx p1 :: ByteString + p2 = ECC.decodePoint prx bs + in CryptoPassed p1 == p2 + modifyMaxSuccess (const 20) $ prop "ECDH commutes" $ \testDRG (Curve curve) -> + let prx = Just curve -- using Maybe as Proxy + (alice, bob) = + withTestDRG testDRG $ + (,) + <$> ECC.curveGenerateKeyPair prx + <*> ECC.curveGenerateKeyPair prx + aliceShared = ECC.ecdh prx (ECC.keypairGetPrivate alice) (ECC.keypairGetPublic bob) + bobShared = ECC.ecdh prx (ECC.keypairGetPrivate bob) (ECC.keypairGetPublic alice) + aliceShared' = ECC.ecdhRaw prx (ECC.keypairGetPrivate alice) (ECC.keypairGetPublic bob) + bobShared' = ECC.ecdhRaw prx (ECC.keypairGetPrivate bob) (ECC.keypairGetPublic alice) + in aliceShared == bobShared + && aliceShared == CryptoPassed aliceShared' + && bobShared == CryptoPassed bobShared' + prop "decodeScalar.encodeScalar==id" $ \testDRG (CurveArith curve) -> + let prx = Just curve -- using Maybe as Proxy + s1 = withTestDRG testDRG $ ECC.curveGenerateScalar prx + bs = ECC.encodeScalar prx s1 :: ByteString + s2 = ECC.decodeScalar prx bs + in CryptoPassed s1 == s2 + prop "scalarFromInteger.scalarToInteger==id" $ \testDRG (CurveArith curve) -> + let prx = Just curve -- using Maybe as Proxy + s1 = withTestDRG testDRG $ ECC.curveGenerateScalar prx + bs = ECC.scalarToInteger prx s1 + s2 = ECC.scalarFromInteger prx bs + in CryptoPassed s1 == s2 + modifyMaxSuccess (const 20) $ prop "(a + b).P = a.P + b.P" $ \testDRG (CurveArith curve) -> + let prx = Just curve -- using Maybe as Proxy + (s, a, b) = + withTestDRG testDRG $ + (,,) + <$> ECC.curveGenerateScalar prx + <*> ECC.curveGenerateScalar prx + <*> ECC.curveGenerateScalar prx + p = ECC.pointBaseSmul prx s + in ECC.pointSmul prx (ECC.scalarAdd prx a b) p + == ECC.pointAdd prx (ECC.pointSmul prx a p) (ECC.pointSmul prx b p) + modifyMaxSuccess (const 20) $ prop "(a * b).P = a.(b.P)" $ \testDRG (CurveArith curve) -> + let prx = Just curve -- using Maybe as Proxy + (s, a, b) = + withTestDRG testDRG $ + (,,) + <$> ECC.curveGenerateScalar prx + <*> ECC.curveGenerateScalar prx + <*> ECC.curveGenerateScalar prx + p = ECC.pointBaseSmul prx s + in ECC.pointSmul prx (ECC.scalarMul prx a b) p + == ECC.pointSmul prx a (ECC.pointSmul prx b p) diff --git a/tests/ECDSA.hs b/tests/ECDSA.hs deleted file mode 100644 --- a/tests/ECDSA.hs +++ /dev/null @@ -1,61 +0,0 @@ -{-# LANGUAGE ExistentialQuantification #-} -{-# LANGUAGE FlexibleContexts #-} -module ECDSA (tests) where - -import qualified Crypto.ECC as ECDSA -import qualified Crypto.PubKey.ECC.ECDSA as ECC -import qualified Crypto.PubKey.ECC.Types as ECC -import qualified Crypto.PubKey.ECDSA as ECDSA -import Crypto.Hash.Algorithms -import Crypto.Error -import qualified Data.ByteString as B - -import Imports - -data Curve = forall curve. (ECDSA.EllipticCurveECDSA curve, Show (ECDSA.Scalar curve)) => Curve curve ECC.Curve ECC.CurveName - -instance Show Curve where - showsPrec d (Curve _ _ name) = showsPrec d name - -instance Arbitrary Curve where - arbitrary = elements - [ makeCurve ECDSA.Curve_P256R1 ECC.SEC_p256r1 - , makeCurve ECDSA.Curve_P384R1 ECC.SEC_p384r1 - , makeCurve ECDSA.Curve_P521R1 ECC.SEC_p521r1 - ] - where - makeCurve c name = Curve c (ECC.getCurveByName name) name - -arbitraryScalar curve = choose (1, n - 1) - where n = ECC.ecc_n (ECC.common_curve curve) - -sigECCToECDSA :: ECDSA.EllipticCurveECDSA curve - => proxy curve -> ECC.Signature -> ECDSA.Signature curve -sigECCToECDSA prx (ECC.Signature r s) = - ECDSA.Signature (throwCryptoError $ ECDSA.scalarFromInteger prx r) - (throwCryptoError $ ECDSA.scalarFromInteger prx s) - -tests = localOption (QuickCheckTests 5) $ testGroup "ECDSA" - [ testProperty "SHA1" $ propertyECDSA SHA1 - , testProperty "SHA224" $ propertyECDSA SHA224 - , testProperty "SHA256" $ propertyECDSA SHA256 - , testProperty "SHA384" $ propertyECDSA SHA384 - , testProperty "SHA512" $ propertyECDSA SHA512 - ] - where - propertyECDSA hashAlg (Curve c curve _) (ArbitraryBS0_2901 msg) = do - d <- arbitraryScalar curve - kECC <- arbitraryScalar curve - let privECC = ECC.PrivateKey curve d - prx = Just c -- using Maybe as Proxy - kECDSA = throwCryptoError $ ECDSA.scalarFromInteger prx kECC - privECDSA = throwCryptoError $ ECDSA.scalarFromInteger prx d - pubECDSA = ECDSA.toPublic prx privECDSA - Just sigECC = ECC.signWith kECC privECC hashAlg msg - Just sigECDSA = ECDSA.signWith prx kECDSA privECDSA hashAlg msg - sigECDSA' = sigECCToECDSA prx sigECC - msg' = msg `B.append` B.singleton 42 - return $ propertyHold [ eqTest "signature" sigECDSA sigECDSA' - , eqTest "verification" True (ECDSA.verify prx hashAlg pubECDSA sigECDSA' msg) - , eqTest "alteration" False (ECDSA.verify prx hashAlg pubECDSA sigECDSA msg') - ] diff --git a/tests/ECDSASpec.hs b/tests/ECDSASpec.hs new file mode 100644 --- /dev/null +++ b/tests/ECDSASpec.hs @@ -0,0 +1,160 @@ +-- The binary curves are deprecated and still supported, so the tests +-- that hold them to their behaviour name them on purpose. +{-# OPTIONS_GHC -Wno-deprecations #-} +{-# LANGUAGE ExistentialQuantification #-} +{-# LANGUAGE FlexibleContexts #-} + +module ECDSASpec (spec) where + +import qualified Crypto.ECC as ECDSA +import Crypto.Error +import Crypto.Hash +import qualified Crypto.PubKey.ECC.ECDSA as ECC +import qualified Crypto.PubKey.ECC.Generate as ECC +import qualified Crypto.PubKey.ECC.Types as ECC +import qualified Crypto.PubKey.ECDSA as ECDSA +import qualified Data.ByteString as B +import Data.Maybe + +import Imports + +data Curve + = forall curve. + (ECDSA.EllipticCurveECDSA curve, Show (ECDSA.Scalar curve)) => + Curve curve ECC.Curve ECC.CurveName + +instance Show Curve where + showsPrec d (Curve _ _ name) = showsPrec d name + +instance Arbitrary Curve where + arbitrary = + elements + [ makeCurve ECDSA.Curve_P256R1 ECC.SEC_p256r1 + , makeCurve ECDSA.Curve_P384R1 ECC.SEC_p384r1 + , makeCurve ECDSA.Curve_P521R1 ECC.SEC_p521r1 + ] + where + makeCurve c name = Curve c (ECC.getCurveByName name) name + +arbitraryScalar :: ECC.Curve -> Gen Integer +arbitraryScalar curve = choose (1, n - 1) + where + n = ECC.ecc_n (ECC.common_curve curve) + +sigECDSAtoECC + :: ECDSA.EllipticCurveECDSA curve + => proxy curve -> ECDSA.Signature curve -> ECC.Signature +sigECDSAtoECC prx (ECDSA.Signature r s) = ECC.Signature (ECDSA.scalarToInteger prx r) (ECDSA.scalarToInteger prx s) + +normalizeECC :: ECC.Curve -> ECC.Signature -> ECC.Signature +normalizeECC curve (ECC.Signature r s) + | s <= n `div` 2 = ECC.Signature r s + | otherwise = ECC.Signature r (n - s) + where + n = ECC.ecc_n $ ECC.common_curve curve + +testRecover :: ECC.CurveName -> Spec +testRecover name = prop (show name) $ \(ArbitraryBS0_2901 msg) -> do + let curve = ECC.getCurveByName name + let n = ECC.ecc_n $ ECC.common_curve curve + k <- choose (1, n - 1) + d <- choose (1, n - 1) + let key = ECC.PrivateKey curve d + let digest = hashWith SHA256 msg + let pub = + ECC.signExtendedDigestWith k key digest >>= \signature -> ECC.recoverDigest curve signature digest + pure $ + propertyHold + [eqTest "recovery" (Just $ ECC.generateQ curve d) (ECC.public_q <$> pub)] + +testNormalize :: ECC.CurveName -> Spec +testNormalize name = prop (show name) $ \(ArbitraryBS0_2901 msg) -> do + let curve = ECC.getCurveByName name + let n = ECC.ecc_n $ ECC.common_curve curve + k <- choose (1, n - 1) + d <- choose (1, n - 1) + let key = ECC.PrivateKey curve d + let digest = hashWith SHA256 msg + let check = + ECC.signExtendedDigestWith k key digest >>= \s -> pure $ ECC.sign_s (ECC.signature s) <= n `div` 2 + pure $ propertyHold [eqTest "normalized" (Just True) check] + +-- | The deterministic nonce of RFC 6979, against the implementation in +-- Crypto.PubKey.ECC.ECDSA, which is itself held to the vectors in the RFC by +-- tests/PubKey/ECDSASpec.hs. Agreeing with it is agreeing with those. +propertyDeterministic + :: HashAlgorithm hash => hash -> Curve -> ArbitraryBS0_2901 -> Gen Bool +propertyDeterministic hashAlg (Curve c curve _) (ArbitraryBS0_2901 msg) = do + d <- arbitraryScalar curve + let prx = Just c -- using Maybe as Proxy + privECC = ECC.PrivateKey curve d + privECDSA = throwCryptoError $ ECDSA.scalarFromInteger prx d + pubECDSA = ECDSA.toPublic prx privECDSA + digest = hashWith hashAlg msg + kECC = ECC.deterministicNonce hashAlg privECC digest Just + kECDSA = + ECDSA.deterministicNonce prx hashAlg privECDSA digest Just + sigECDSA = ECDSA.signDeterministic prx hashAlg privECDSA hashAlg msg + sigWithK = fromJust $ ECDSA.signWith prx kECDSA privECDSA hashAlg msg + pure $ + propertyHold + [ eqTest "nonce" kECC (ECDSA.scalarToInteger prx kECDSA) + , eqTest "signature matches signWith" sigWithK sigECDSA + , eqTest + "signature verifies" + True + (ECDSA.verify prx hashAlg pubECDSA sigECDSA msg) + ] + +spec :: Spec +spec = do + modifyMaxSuccess (const 5) $ + describe "RFC 6979 deterministic nonce" $ do + prop "SHA1" $ propertyDeterministic SHA1 + prop "SHA224" $ propertyDeterministic SHA224 + prop "SHA256" $ propertyDeterministic SHA256 + prop "SHA384" $ propertyDeterministic SHA384 + prop "SHA512" $ propertyDeterministic SHA512 + modifyMaxSuccess (const 5) $ + describe "verification" $ do + prop "SHA1" $ propertyECDSA SHA1 + prop "SHA224" $ propertyECDSA SHA224 + prop "SHA256" $ propertyECDSA SHA256 + prop "SHA384" $ propertyECDSA SHA384 + prop "SHA512" $ propertyECDSA SHA512 + describe "recovery" $ do + modifyMaxSuccess (const 100) $ testRecover ECC.SEC_p128r1 + modifyMaxSuccess (const 100) $ testRecover ECC.SEC_p128r2 + modifyMaxSuccess (const 100) $ testRecover ECC.SEC_p256k1 + modifyMaxSuccess (const 100) $ testRecover ECC.SEC_p256r1 + modifyMaxSuccess (const 50) $ testRecover ECC.SEC_t131r1 + modifyMaxSuccess (const 50) $ testRecover ECC.SEC_t131r2 + modifyMaxSuccess (const 20) $ testRecover ECC.SEC_t233k1 + modifyMaxSuccess (const 20) $ testRecover ECC.SEC_t233r1 + describe "normalize" $ do + modifyMaxSuccess (const 100) $ testNormalize ECC.SEC_p128r1 + modifyMaxSuccess (const 100) $ testNormalize ECC.SEC_p128r2 + modifyMaxSuccess (const 100) $ testNormalize ECC.SEC_p256k1 + modifyMaxSuccess (const 100) $ testNormalize ECC.SEC_p256r1 + modifyMaxSuccess (const 50) $ testNormalize ECC.SEC_t131r1 + modifyMaxSuccess (const 50) $ testNormalize ECC.SEC_t131r2 + modifyMaxSuccess (const 20) $ testNormalize ECC.SEC_t233k1 + modifyMaxSuccess (const 20) $ testNormalize ECC.SEC_t233r1 + where + propertyECDSA hashAlg (Curve c curve _) (ArbitraryBS0_2901 msg) = do + d <- arbitraryScalar curve + kECC <- arbitraryScalar curve + let privECC = ECC.PrivateKey curve d + prx = Just c -- using Maybe as Proxy + kECDSA = throwCryptoError $ ECDSA.scalarFromInteger prx kECC + privECDSA = throwCryptoError $ ECDSA.scalarFromInteger prx d + pubECDSA = ECDSA.toPublic prx privECDSA + sigECC = fromJust $ ECC.signWith kECC privECC hashAlg msg + sigECDSA = fromJust $ ECDSA.signWith prx kECDSA privECDSA hashAlg msg + msg' = msg `B.append` B.singleton 42 + return $ + propertyHold + [ eqTest "signature" sigECC $ normalizeECC curve $ sigECDSAtoECC prx sigECDSA + , eqTest "verification" True (ECDSA.verify prx hashAlg pubECDSA sigECDSA msg) + , eqTest "alteration" False (ECDSA.verify prx hashAlg pubECDSA sigECDSA msg') + ] diff --git a/tests/Ed25519Spec.hs b/tests/Ed25519Spec.hs new file mode 100644 --- /dev/null +++ b/tests/Ed25519Spec.hs @@ -0,0 +1,137 @@ +{-# LANGUAGE BangPatterns #-} +{-# LANGUAGE OverloadedStrings #-} +{-# LANGUAGE RecordWildCards #-} + +module Ed25519Spec (spec) where + +import Crypto.Error +import qualified Crypto.PubKey.Ed25519 as Ed25519 +import Data.ByteArray.Encoding (Base (Base16), convertFromBase) +import Imports + +data Vec = Vec + { vecSec :: ByteString + , vecPub :: ByteString + , vecMsg :: ByteString + , vecSig :: ByteString + } + deriving (Show, Eq) + +vectors = + [ Vec + { vecSec = + "\x9d\x61\xb1\x9d\xef\xfd\x5a\x60\xba\x84\x4a\xf4\x92\xec\x2c\xc4\x44\x49\xc5\x69\x7b\x32\x69\x19\x70\x3b\xac\x03\x1c\xae\x7f\x60" + , vecPub = + "\xd7\x5a\x98\x01\x82\xb1\x0a\xb7\xd5\x4b\xfe\xd3\xc9\x64\x07\x3a\x0e\xe1\x72\xf3\xda\xa6\x23\x25\xaf\x02\x1a\x68\xf7\x07\x51\x1a" + , vecMsg = "" + , vecSig = + "\xe5\x56\x43\x00\xc3\x60\xac\x72\x90\x86\xe2\xcc\x80\x6e\x82\x8a\x84\x87\x7f\x1e\xb8\xe5\xd9\x74\xd8\x73\xe0\x65\x22\x49\x01\x55\x5f\xb8\x82\x15\x90\xa3\x3b\xac\xc6\x1e\x39\x70\x1c\xf9\xb4\x6b\xd2\x5b\xf5\xf0\x59\x5b\xbe\x24\x65\x51\x41\x43\x8e\x7a\x10\x0b" + } + , Vec + { vecSec = + "\x4c\xcd\x08\x9b\x28\xff\x96\xda\x9d\xb6\xc3\x46\xec\x11\x4e\x0f\x5b\x8a\x31\x9f\x35\xab\xa6\x24\xda\x8c\xf6\xed\x4f\xb8\xa6\xfb" + , vecPub = + "\x3d\x40\x17\xc3\xe8\x43\x89\x5a\x92\xb7\x0a\xa7\x4d\x1b\x7e\xbc\x9c\x98\x2c\xcf\x2e\xc4\x96\x8c\xc0\xcd\x55\xf1\x2a\xf4\x66\x0c" + , vecMsg = "\x72" + , vecSig = + "\x92\xa0\x09\xa9\xf0\xd4\xca\xb8\x72\x0e\x82\x0b\x5f\x64\x25\x40\xa2\xb2\x7b\x54\x16\x50\x3f\x8f\xb3\x76\x22\x23\xeb\xdb\x69\xda\x08\x5a\xc1\xe4\x3e\x15\x99\x6e\x45\x8f\x36\x13\xd0\xf1\x1d\x8c\x38\x7b\x2e\xae\xb4\x30\x2a\xee\xb0\x0d\x29\x16\x12\xbb\x0c\x00" + } + , Vec + { vecSec = + "\xc5\xaa\x8d\xf4\x3f\x9f\x83\x7b\xed\xb7\x44\x2f\x31\xdc\xb7\xb1\x66\xd3\x85\x35\x07\x6f\x09\x4b\x85\xce\x3a\x2e\x0b\x44\x58\xf7" + , vecPub = + "\xfc\x51\xcd\x8e\x62\x18\xa1\xa3\x8d\xa4\x7e\xd0\x02\x30\xf0\x58\x08\x16\xed\x13\xba\x33\x03\xac\x5d\xeb\x91\x15\x48\x90\x80\x25" + , vecMsg = "\xaf\x82" + , vecSig = + "\x62\x91\xd6\x57\xde\xec\x24\x02\x48\x27\xe6\x9c\x3a\xbe\x01\xa3\x0c\xe5\x48\xa2\x84\x74\x3a\x44\x5e\x36\x80\xd7\xdb\x5a\xc3\xac\x18\xff\x9b\x53\x8d\x16\xf2\x90\xae\x67\xf7\x60\x98\x4d\xc6\x59\x4a\x7c\x15\xe9\x71\x6e\xd2\x8d\xc0\x27\xbe\xce\xea\x1e\xc4\x0a" + } + , Vec + { vecSec = + "\xf5\xe5\x76\x7c\xf1\x53\x31\x95\x17\x63\x0f\x22\x68\x76\xb8\x6c\x81\x60\xcc\x58\x3b\xc0\x13\x74\x4c\x6b\xf2\x55\xf5\xcc\x0e\xe5" + , vecPub = + "\x27\x81\x17\xfc\x14\x4c\x72\x34\x0f\x67\xd0\xf2\x31\x6e\x83\x86\xce\xff\xbf\x2b\x24\x28\xc9\xc5\x1f\xef\x7c\x59\x7f\x1d\x42\x6e" + , vecMsg = + "\x08\xb8\xb2\xb7\x33\x42\x42\x43\x76\x0f\xe4\x26\xa4\xb5\x49\x08\x63\x21\x10\xa6\x6c\x2f\x65\x91\xea\xbd\x33\x45\xe3\xe4\xeb\x98\xfa\x6e\x26\x4b\xf0\x9e\xfe\x12\xee\x50\xf8\xf5\x4e\x9f\x77\xb1\xe3\x55\xf6\xc5\x05\x44\xe2\x3f\xb1\x43\x3d\xdf\x73\xbe\x84\xd8\x79\xde\x7c\x00\x46\xdc\x49\x96\xd9\xe7\x73\xf4\xbc\x9e\xfe\x57\x38\x82\x9a\xdb\x26\xc8\x1b\x37\xc9\x3a\x1b\x27\x0b\x20\x32\x9d\x65\x86\x75\xfc\x6e\xa5\x34\xe0\x81\x0a\x44\x32\x82\x6b\xf5\x8c\x94\x1e\xfb\x65\xd5\x7a\x33\x8b\xbd\x2e\x26\x64\x0f\x89\xff\xbc\x1a\x85\x8e\xfc\xb8\x55\x0e\xe3\xa5\xe1\x99\x8b\xd1\x77\xe9\x3a\x73\x63\xc3\x44\xfe\x6b\x19\x9e\xe5\xd0\x2e\x82\xd5\x22\xc4\xfe\xba\x15\x45\x2f\x80\x28\x8a\x82\x1a\x57\x91\x16\xec\x6d\xad\x2b\x3b\x31\x0d\xa9\x03\x40\x1a\xa6\x21\x00\xab\x5d\x1a\x36\x55\x3e\x06\x20\x3b\x33\x89\x0c\xc9\xb8\x32\xf7\x9e\xf8\x05\x60\xcc\xb9\xa3\x9c\xe7\x67\x96\x7e\xd6\x28\xc6\xad\x57\x3c\xb1\x16\xdb\xef\xef\xd7\x54\x99\xda\x96\xbd\x68\xa8\xa9\x7b\x92\x8a\x8b\xbc\x10\x3b\x66\x21\xfc\xde\x2b\xec\xa1\x23\x1d\x20\x6b\xe6\xcd\x9e\xc7\xaf\xf6\xf6\xc9\x4f\xcd\x72\x04\xed\x34\x55\xc6\x8c\x83\xf4\xa4\x1d\xa4\xaf\x2b\x74\xef\x5c\x53\xf1\xd8\xac\x70\xbd\xcb\x7e\xd1\x85\xce\x81\xbd\x84\x35\x9d\x44\x25\x4d\x95\x62\x9e\x98\x55\xa9\x4a\x7c\x19\x58\xd1\xf8\xad\xa5\xd0\x53\x2e\xd8\xa5\xaa\x3f\xb2\xd1\x7b\xa7\x0e\xb6\x24\x8e\x59\x4e\x1a\x22\x97\xac\xbb\xb3\x9d\x50\x2f\x1a\x8c\x6e\xb6\xf1\xce\x22\xb3\xde\x1a\x1f\x40\xcc\x24\x55\x41\x19\xa8\x31\xa9\xaa\xd6\x07\x9c\xad\x88\x42\x5d\xe6\xbd\xe1\xa9\x18\x7e\xbb\x60\x92\xcf\x67\xbf\x2b\x13\xfd\x65\xf2\x70\x88\xd7\x8b\x7e\x88\x3c\x87\x59\xd2\xc4\xf5\xc6\x5a\xdb\x75\x53\x87\x8a\xd5\x75\xf9\xfa\xd8\x78\xe8\x0a\x0c\x9b\xa6\x3b\xcb\xcc\x27\x32\xe6\x94\x85\xbb\xc9\xc9\x0b\xfb\xd6\x24\x81\xd9\x08\x9b\xec\xcf\x80\xcf\xe2\xdf\x16\xa2\xcf\x65\xbd\x92\xdd\x59\x7b\x07\x07\xe0\x91\x7a\xf4\x8b\xbb\x75\xfe\xd4\x13\xd2\x38\xf5\x55\x5a\x7a\x56\x9d\x80\xc3\x41\x4a\x8d\x08\x59\xdc\x65\xa4\x61\x28\xba\xb2\x7a\xf8\x7a\x71\x31\x4f\x31\x8c\x78\x2b\x23\xeb\xfe\x80\x8b\x82\xb0\xce\x26\x40\x1d\x2e\x22\xf0\x4d\x83\xd1\x25\x5d\xc5\x1a\xdd\xd3\xb7\x5a\x2b\x1a\xe0\x78\x45\x04\xdf\x54\x3a\xf8\x96\x9b\xe3\xea\x70\x82\xff\x7f\xc9\x88\x8c\x14\x4d\xa2\xaf\x58\x42\x9e\xc9\x60\x31\xdb\xca\xd3\xda\xd9\xaf\x0d\xcb\xaa\xaf\x26\x8c\xb8\xfc\xff\xea\xd9\x4f\x3c\x7c\xa4\x95\xe0\x56\xa9\xb4\x7a\xcd\xb7\x51\xfb\x73\xe6\x66\xc6\xc6\x55\xad\xe8\x29\x72\x97\xd0\x7a\xd1\xba\x5e\x43\xf1\xbc\xa3\x23\x01\x65\x13\x39\xe2\x29\x04\xcc\x8c\x42\xf5\x8c\x30\xc0\x4a\xaf\xdb\x03\x8d\xda\x08\x47\xdd\x98\x8d\xcd\xa6\xf3\xbf\xd1\x5c\x4b\x4c\x45\x25\x00\x4a\xa0\x6e\xef\xf8\xca\x61\x78\x3a\xac\xec\x57\xfb\x3d\x1f\x92\xb0\xfe\x2f\xd1\xa8\x5f\x67\x24\x51\x7b\x65\xe6\x14\xad\x68\x08\xd6\xf6\xee\x34\xdf\xf7\x31\x0f\xdc\x82\xae\xbf\xd9\x04\xb0\x1e\x1d\xc5\x4b\x29\x27\x09\x4b\x2d\xb6\x8d\x6f\x90\x3b\x68\x40\x1a\xde\xbf\x5a\x7e\x08\xd7\x8f\xf4\xef\x5d\x63\x65\x3a\x65\x04\x0c\xf9\xbf\xd4\xac\xa7\x98\x4a\x74\xd3\x71\x45\x98\x67\x80\xfc\x0b\x16\xac\x45\x16\x49\xde\x61\x88\xa7\xdb\xdf\x19\x1f\x64\xb5\xfc\x5e\x2a\xb4\x7b\x57\xf7\xf7\x27\x6c\xd4\x19\xc1\x7a\x3c\xa8\xe1\xb9\x39\xae\x49\xe4\x88\xac\xba\x6b\x96\x56\x10\xb5\x48\x01\x09\xc8\xb1\x7b\x80\xe1\xb7\xb7\x50\xdf\xc7\x59\x8d\x5d\x50\x11\xfd\x2d\xcc\x56\x00\xa3\x2e\xf5\xb5\x2a\x1e\xcc\x82\x0e\x30\x8a\xa3\x42\x72\x1a\xac\x09\x43\xbf\x66\x86\xb6\x4b\x25\x79\x37\x65\x04\xcc\xc4\x93\xd9\x7e\x6a\xed\x3f\xb0\xf9\xcd\x71\xa4\x3d\xd4\x97\xf0\x1f\x17\xc0\xe2\xcb\x37\x97\xaa\x2a\x2f\x25\x66\x56\x16\x8e\x6c\x49\x6a\xfc\x5f\xb9\x32\x46\xf6\xb1\x11\x63\x98\xa3\x46\xf1\xa6\x41\xf3\xb0\x41\xe9\x89\xf7\x91\x4f\x90\xcc\x2c\x7f\xff\x35\x78\x76\xe5\x06\xb5\x0d\x33\x4b\xa7\x7c\x22\x5b\xc3\x07\xba\x53\x71\x52\xf3\xf1\x61\x0e\x4e\xaf\xe5\x95\xf6\xd9\xd9\x0d\x11\xfa\xa9\x33\xa1\x5e\xf1\x36\x95\x46\x86\x8a\x7f\x3a\x45\xa9\x67\x68\xd4\x0f\xd9\xd0\x34\x12\xc0\x91\xc6\x31\x5c\xf4\xfd\xe7\xcb\x68\x60\x69\x37\x38\x0d\xb2\xea\xaa\x70\x7b\x4c\x41\x85\xc3\x2e\xdd\xcd\xd3\x06\x70\x5e\x4d\xc1\xff\xc8\x72\xee\xee\x47\x5a\x64\xdf\xac\x86\xab\xa4\x1c\x06\x18\x98\x3f\x87\x41\xc5\xef\x68\xd3\xa1\x01\xe8\xa3\xb8\xca\xc6\x0c\x90\x5c\x15\xfc\x91\x08\x40\xb9\x4c\x00\xa0\xb9\xd0" + , vecSig = + "\x0a\xab\x4c\x90\x05\x01\xb3\xe2\x4d\x7c\xdf\x46\x63\x32\x6a\x3a\x87\xdf\x5e\x48\x43\xb2\xcb\xdb\x67\xcb\xf6\xe4\x60\xfe\xc3\x50\xaa\x53\x71\xb1\x50\x8f\x9f\x45\x28\xec\xea\x23\xc4\x36\xd9\x4b\x5e\x8f\xcd\x4f\x68\x1e\x30\xa6\xac\x00\xa9\x70\x4a\x18\x8a\x03" + } + , Vec + { vecSec = + "\x83\x3f\xe6\x24\x09\x23\x7b\x9d\x62\xec\x77\x58\x75\x20\x91\x1e\x9a\x75\x9c\xec\x1d\x19\x75\x5b\x7d\xa9\x01\xb9\x6d\xca\x3d\x42" + , vecPub = + "\xec\x17\x2b\x93\xad\x5e\x56\x3b\xf4\x93\x2c\x70\xe1\x24\x50\x34\xc3\x54\x67\xef\x2e\xfd\x4d\x64\xeb\xf8\x19\x68\x34\x67\xe2\xbf" + , vecMsg = + "\xdd\xaf\x35\xa1\x93\x61\x7a\xba\xcc\x41\x73\x49\xae\x20\x41\x31\x12\xe6\xfa\x4e\x89\xa9\x7e\xa2\x0a\x9e\xee\xe6\x4b\x55\xd3\x9a\x21\x92\x99\x2a\x27\x4f\xc1\xa8\x36\xba\x3c\x23\xa3\xfe\xeb\xbd\x45\x4d\x44\x23\x64\x3c\xe8\x0e\x2a\x9a\xc9\x4f\xa5\x4c\xa4\x9f" + , vecSig = + "\xdc\x2a\x44\x59\xe7\x36\x96\x33\xa5\x2b\x1b\xf2\x77\x83\x9a\x00\x20\x10\x09\xa3\xef\xbf\x3e\xcb\x69\xbe\xa2\x18\x6c\x26\xb5\x89\x09\x35\x1f\xc9\xac\x90\xb3\xec\xfd\xfb\xc7\xc6\x64\x31\xe0\x30\x3d\xca\x17\x9c\x13\x8a\xc1\x7a\xd9\xbe\xf1\x17\x73\x31\xa7\x04" + } + ] + +doPublicKeyTest i vec = it (show i) (Ed25519.toPublic sec `shouldBe` pub) + where + !pub = throwCryptoError $ Ed25519.publicKey (vecPub vec) + !sec = throwCryptoError $ Ed25519.secretKey (vecSec vec) + +doSignatureTest i vec = it (show i) (Ed25519.sign sec pub (vecMsg vec) `shouldBe` sig) + where + !sig = throwCryptoError $ Ed25519.signature (vecSig vec) + !pub = throwCryptoError $ Ed25519.publicKey (vecPub vec) + !sec = throwCryptoError $ Ed25519.secretKey (vecSec vec) + +doVerifyTest i vec = it (show i) (Ed25519.verify pub (vecMsg vec) sig `shouldBe` True) + where + !sig = throwCryptoError $ Ed25519.signature (vecSig vec) + !pub = throwCryptoError $ Ed25519.publicKey (vecPub vec) + +unhex :: ByteString -> ByteString +unhex = either error id . convertFromBase Base16 + +-- | Invalid signatures from Wycheproof's ed25519_test.json. +data NegVec = NegVec + { negTc :: Int + , negWhy :: String + , negPub :: ByteString + , negMsg :: ByteString + , negSig :: ByteString + } + +negVectors = + [ NegVec + { negTc = 63 + , negWhy = "s replaced by s + L" + , negPub = + unhex "7d4d0e7f6153a69b6242b522abbee685fda4420f8834b108c3bdae369ef549fa" + , negMsg = unhex "54657374" + , negSig = + unhex + "7c38e026f29e14aabd059a0f2db8b0cd783040609a8be684db12f82a27774ab067654bce3832c2d76f8f6f5dafc08d9339d4eef676573336a5c51eb6f946b31d" + } + , NegVec + { negTc = 85 + , negWhy = "s just above the bound" + , negPub = + unhex "100fdf47fb94f1536a4f7c3fda27383fa03375a8f527c537e6f1703c47f94f86" + , negMsg = + unhex "6a0bc2b0057cedfc0fa2e3f7f7d39279b30f454a69dfd1117c758d86b19d85e0" + , negSig = + unhex + "0971f86d2c9c78582524a103cb9cf949522ae528f8054dc20107d999be673ff4e25ebf2f2928766b1248bec6e91697775f8446639ede46ad4df4053000000010" + } + ] + +doNegVerifyTest :: NegVec -> Spec +doNegVerifyTest NegVec{..} = + it + (show negTc ++ ": " ++ negWhy) + (Ed25519.verify pub negMsg sig `shouldBe` False) + where + !sig = throwCryptoError $ Ed25519.signature negSig + !pub = throwCryptoError $ Ed25519.publicKey negPub + +spec :: Spec +spec = do + it "gen secretkey" (Ed25519.generateSecretKey *> pure () :: Expectation) + describe "gen publickey" $ zipWithM_ doPublicKeyTest [katZero ..] vectors + describe "gen signature" $ zipWithM_ doSignatureTest [katZero ..] vectors + describe "verify sig" $ zipWithM_ doVerifyTest [katZero ..] vectors + describe "reject non-canonical scalar" $ mapM_ doNegVerifyTest negVectors diff --git a/tests/Ed448Spec.hs b/tests/Ed448Spec.hs new file mode 100644 --- /dev/null +++ b/tests/Ed448Spec.hs @@ -0,0 +1,117 @@ +{-# LANGUAGE BangPatterns #-} +{-# LANGUAGE OverloadedStrings #-} + +module Ed448Spec (spec) where + +import Crypto.Error +import qualified Crypto.PubKey.Ed448 as Ed448 +import Imports + +data Vec = Vec + { vecSec :: ByteString + , vecPub :: ByteString + , vecMsg :: ByteString + , vecSig :: ByteString + } + deriving (Show, Eq) + +vectors = + [ Vec + { vecSec = + "\x6c\x82\xa5\x62\xcb\x80\x8d\x10\xd6\x32\xbe\x89\xc8\x51\x3e\xbf\x6c\x92\x9f\x34\xdd\xfa\x8c\x9f\x63\xc9\x96\x0e\xf6\xe3\x48\xa3\x52\x8c\x8a\x3f\xcc\x2f\x04\x4e\x39\xa3\xfc\x5b\x94\x49\x2f\x8f\x03\x2e\x75\x49\xa2\x00\x98\xf9\x5b" + , vecPub = + "\x5f\xd7\x44\x9b\x59\xb4\x61\xfd\x2c\xe7\x87\xec\x61\x6a\xd4\x6a\x1d\xa1\x34\x24\x85\xa7\x0e\x1f\x8a\x0e\xa7\x5d\x80\xe9\x67\x78\xed\xf1\x24\x76\x9b\x46\xc7\x06\x1b\xd6\x78\x3d\xf1\xe5\x0f\x6c\xd1\xfa\x1a\xbe\xaf\xe8\x25\x61\x80" + , vecMsg = "" + , vecSig = + "\x53\x3a\x37\xf6\xbb\xe4\x57\x25\x1f\x02\x3c\x0d\x88\xf9\x76\xae\x2d\xfb\x50\x4a\x84\x3e\x34\xd2\x07\x4f\xd8\x23\xd4\x1a\x59\x1f\x2b\x23\x3f\x03\x4f\x62\x82\x81\xf2\xfd\x7a\x22\xdd\xd4\x7d\x78\x28\xc5\x9b\xd0\xa2\x1b\xfd\x39\x80\xff\x0d\x20\x28\xd4\xb1\x8a\x9d\xf6\x3e\x00\x6c\x5d\x1c\x2d\x34\x5b\x92\x5d\x8d\xc0\x0b\x41\x04\x85\x2d\xb9\x9a\xc5\xc7\xcd\xda\x85\x30\xa1\x13\xa0\xf4\xdb\xb6\x11\x49\xf0\x5a\x73\x63\x26\x8c\x71\xd9\x58\x08\xff\x2e\x65\x26\x00" + } + , Vec + { vecSec = + "\xc4\xea\xb0\x5d\x35\x70\x07\xc6\x32\xf3\xdb\xb4\x84\x89\x92\x4d\x55\x2b\x08\xfe\x0c\x35\x3a\x0d\x4a\x1f\x00\xac\xda\x2c\x46\x3a\xfb\xea\x67\xc5\xe8\xd2\x87\x7c\x5e\x3b\xc3\x97\xa6\x59\x94\x9e\xf8\x02\x1e\x95\x4e\x0a\x12\x27\x4e" + , vecPub = + "\x43\xba\x28\xf4\x30\xcd\xff\x45\x6a\xe5\x31\x54\x5f\x7e\xcd\x0a\xc8\x34\xa5\x5d\x93\x58\xc0\x37\x2b\xfa\x0c\x6c\x67\x98\xc0\x86\x6a\xea\x01\xeb\x00\x74\x28\x02\xb8\x43\x8e\xa4\xcb\x82\x16\x9c\x23\x51\x60\x62\x7b\x4c\x3a\x94\x80" + , vecMsg = "\x03" + , vecSig = + "\x26\xb8\xf9\x17\x27\xbd\x62\x89\x7a\xf1\x5e\x41\xeb\x43\xc3\x77\xef\xb9\xc6\x10\xd4\x8f\x23\x35\xcb\x0b\xd0\x08\x78\x10\xf4\x35\x25\x41\xb1\x43\xc4\xb9\x81\xb7\xe1\x8f\x62\xde\x8c\xcd\xf6\x33\xfc\x1b\xf0\x37\xab\x7c\xd7\x79\x80\x5e\x0d\xbc\xc0\xaa\xe1\xcb\xce\xe1\xaf\xb2\xe0\x27\xdf\x36\xbc\x04\xdc\xec\xbf\x15\x43\x36\xc1\x9f\x0a\xf7\xe0\xa6\x47\x29\x05\xe7\x99\xf1\x95\x3d\x2a\x0f\xf3\x34\x8a\xb2\x1a\xa4\xad\xaf\xd1\xd2\x34\x44\x1c\xf8\x07\xc0\x3a\x00" + } + , Vec + { vecSec = + "\xcd\x23\xd2\x4f\x71\x42\x74\xe7\x44\x34\x32\x37\xb9\x32\x90\xf5\x11\xf6\x42\x5f\x98\xe6\x44\x59\xff\x20\x3e\x89\x85\x08\x3f\xfd\xf6\x05\x00\x55\x3a\xbc\x0e\x05\xcd\x02\x18\x4b\xdb\x89\xc4\xcc\xd6\x7e\x18\x79\x51\x26\x7e\xb3\x28" + , vecPub = + "\xdc\xea\x9e\x78\xf3\x5a\x1b\xf3\x49\x9a\x83\x1b\x10\xb8\x6c\x90\xaa\xc0\x1c\xd8\x4b\x67\xa0\x10\x9b\x55\xa3\x6e\x93\x28\xb1\xe3\x65\xfc\xe1\x61\xd7\x1c\xe7\x13\x1a\x54\x3e\xa4\xcb\x5f\x7e\x9f\x1d\x8b\x00\x69\x64\x47\x00\x14\x00" + , vecMsg = "\x0c\x3e\x54\x40\x74\xec\x63\xb0\x26\x5e\x0c" + , vecSig = + "\x1f\x0a\x88\x88\xce\x25\xe8\xd4\x58\xa2\x11\x30\x87\x9b\x84\x0a\x90\x89\xd9\x99\xaa\xba\x03\x9e\xaf\x3e\x3a\xfa\x09\x0a\x09\xd3\x89\xdb\xa8\x2c\x4f\xf2\xae\x8a\xc5\xcd\xfb\x7c\x55\xe9\x4d\x5d\x96\x1a\x29\xfe\x01\x09\x94\x1e\x00\xb8\xdb\xde\xea\x6d\x3b\x05\x10\x68\xdf\x72\x54\xc0\xcd\xc1\x29\xcb\xe6\x2d\xb2\xdc\x95\x7d\xbb\x47\xb5\x1f\xd3\xf2\x13\xfb\x86\x98\xf0\x64\x77\x42\x50\xa5\x02\x89\x61\xc9\xbf\x8f\xfd\x97\x3f\xe5\xd5\xc2\x06\x49\x2b\x14\x0e\x00" + } + , Vec + { vecSec = + "\x25\x8c\xdd\x4a\xda\x32\xed\x9c\x9f\xf5\x4e\x63\x75\x6a\xe5\x82\xfb\x8f\xab\x2a\xc7\x21\xf2\xc8\xe6\x76\xa7\x27\x68\x51\x3d\x93\x9f\x63\xdd\xdb\x55\x60\x91\x33\xf2\x9a\xdf\x86\xec\x99\x29\xdc\xcb\x52\xc1\xc5\xfd\x2f\xf7\xe2\x1b" + , vecPub = + "\x3b\xa1\x6d\xa0\xc6\xf2\xcc\x1f\x30\x18\x77\x40\x75\x6f\x5e\x79\x8d\x6b\xc5\xfc\x01\x5d\x7c\x63\xcc\x95\x10\xee\x3f\xd4\x4a\xdc\x24\xd8\xe9\x68\xb6\xe4\x6e\x6f\x94\xd1\x9b\x94\x53\x61\x72\x6b\xd7\x5e\x14\x9e\xf0\x98\x17\xf5\x80" + , vecMsg = "\x64\xa6\x5f\x3c\xde\xdc\xdd\x66\x81\x1e\x29\x15" + , vecSig = + "\x7e\xee\xab\x7c\x4e\x50\xfb\x79\x9b\x41\x8e\xe5\xe3\x19\x7f\xf6\xbf\x15\xd4\x3a\x14\xc3\x43\x89\xb5\x9d\xd1\xa7\xb1\xb8\x5b\x4a\xe9\x04\x38\xac\xa6\x34\xbe\xa4\x5e\x3a\x26\x95\xf1\x27\x0f\x07\xfd\xcd\xf7\xc6\x2b\x8e\xfe\xaf\x00\xb4\x5c\x2c\x96\xba\x45\x7e\xb1\xa8\xbf\x07\x5a\x3d\xb2\x8e\x5c\x24\xf6\xb9\x23\xed\x4a\xd7\x47\xc3\xc9\xe0\x3c\x70\x79\xef\xb8\x7c\xb1\x10\xd3\xa9\x98\x61\xe7\x20\x03\xcb\xae\x6d\x6b\x8b\x82\x7e\x4e\x6c\x14\x30\x64\xff\x3c\x00" + } + , Vec + { vecSec = + "\x7e\xf4\xe8\x45\x44\x23\x67\x52\xfb\xb5\x6b\x8f\x31\xa2\x3a\x10\xe4\x28\x14\xf5\xf5\x5c\xa0\x37\xcd\xcc\x11\xc6\x4c\x9a\x3b\x29\x49\xc1\xbb\x60\x70\x03\x14\x61\x17\x32\xa6\xc2\xfe\xa9\x8e\xeb\xc0\x26\x6a\x11\xa9\x39\x70\x10\x0e" + , vecPub = + "\xb3\xda\x07\x9b\x0a\xa4\x93\xa5\x77\x20\x29\xf0\x46\x7b\xae\xbe\xe5\xa8\x11\x2d\x9d\x3a\x22\x53\x23\x61\xda\x29\x4f\x7b\xb3\x81\x5c\x5d\xc5\x9e\x17\x6b\x4d\x9f\x38\x1c\xa0\x93\x8e\x13\xc6\xc0\x7b\x17\x4b\xe6\x5d\xfa\x57\x8e\x80" + , vecMsg = "\x64\xa6\x5f\x3c\xde\xdc\xdd\x66\x81\x1e\x29\x15\xe7" + , vecSig = + "\x6a\x12\x06\x6f\x55\x33\x1b\x6c\x22\xac\xd5\xd5\xbf\xc5\xd7\x12\x28\xfb\xda\x80\xae\x8d\xec\x26\xbd\xd3\x06\x74\x3c\x50\x27\xcb\x48\x90\x81\x0c\x16\x2c\x02\x74\x68\x67\x5e\xcf\x64\x5a\x83\x17\x6c\x0d\x73\x23\xa2\xcc\xde\x2d\x80\xef\xe5\xa1\x26\x8e\x8a\xca\x1d\x6f\xbc\x19\x4d\x3f\x77\xc4\x49\x86\xeb\x4a\xb4\x17\x79\x19\xad\x8b\xec\x33\xeb\x47\xbb\xb5\xfc\x6e\x28\x19\x6f\xd1\xca\xf5\x6b\x4e\x7e\x0b\xa5\x51\x92\x34\xd0\x47\x15\x5a\xc7\x27\xa1\x05\x31\x00" + } + , Vec + { vecSec = + "\xd6\x5d\xf3\x41\xad\x13\xe0\x08\x56\x76\x88\xba\xed\xda\x8e\x9d\xcd\xc1\x7d\xc0\x24\x97\x4e\xa5\xb4\x22\x7b\x65\x30\xe3\x39\xbf\xf2\x1f\x99\xe6\x8c\xa6\x96\x8f\x3c\xca\x6d\xfe\x0f\xb9\xf4\xfa\xb4\xfa\x13\x5d\x55\x42\xea\x3f\x01" + , vecPub = + "\xdf\x97\x05\xf5\x8e\xdb\xab\x80\x2c\x7f\x83\x63\xcf\xe5\x56\x0a\xb1\xc6\x13\x2c\x20\xa9\xf1\xdd\x16\x34\x83\xa2\x6f\x8a\xc5\x3a\x39\xd6\x80\x8b\xf4\xa1\xdf\xbd\x26\x1b\x09\x9b\xb0\x3b\x3f\xb5\x09\x06\xcb\x28\xbd\x8a\x08\x1f\x00" + , vecMsg = + "\xbd\x0f\x6a\x37\x47\xcd\x56\x1b\xdd\xdf\x46\x40\xa3\x32\x46\x1a\x4a\x30\xa1\x2a\x43\x4c\xd0\xbf\x40\xd7\x66\xd9\xc6\xd4\x58\xe5\x51\x22\x04\xa3\x0c\x17\xd1\xf5\x0b\x50\x79\x63\x1f\x64\xeb\x31\x12\x18\x2d\xa3\x00\x58\x35\x46\x11\x13\x71\x8d\x1a\x5e\xf9\x44" + , vecSig = + "\x55\x4b\xc2\x48\x08\x60\xb4\x9e\xab\x85\x32\xd2\xa5\x33\xb7\xd5\x78\xef\x47\x3e\xeb\x58\xc9\x8b\xb2\xd0\xe1\xce\x48\x8a\x98\xb1\x8d\xfd\xe9\xb9\xb9\x07\x75\xe6\x7f\x47\xd4\xa1\xc3\x48\x20\x58\xef\xc9\xf4\x0d\x2c\xa0\x33\xa0\x80\x1b\x63\xd4\x5b\x3b\x72\x2e\xf5\x52\xba\xd3\xb4\xcc\xb6\x67\xda\x35\x01\x92\xb6\x1c\x50\x8c\xf7\xb6\xb5\xad\xad\xc2\xc8\xd9\xa4\x46\xef\x00\x3f\xb0\x5c\xba\x5f\x30\xe8\x8e\x36\xec\x27\x03\xb3\x49\xca\x22\x9c\x26\x70\x83\x39\x00" + } + , Vec + { vecSec = + "\x2e\xc5\xfe\x3c\x17\x04\x5a\xbd\xb1\x36\xa5\xe6\xa9\x13\xe3\x2a\xb7\x5a\xe6\x8b\x53\xd2\xfc\x14\x9b\x77\xe5\x04\x13\x2d\x37\x56\x9b\x7e\x76\x6b\xa7\x4a\x19\xbd\x61\x62\x34\x3a\x21\xc8\x59\x0a\xa9\xce\xbc\xa9\x01\x4c\x63\x6d\xf5" + , vecPub = + "\x79\x75\x6f\x01\x4d\xcf\xe2\x07\x9f\x5d\xd9\xe7\x18\xbe\x41\x71\xe2\xef\x24\x86\xa0\x8f\x25\x18\x6f\x6b\xff\x43\xa9\x93\x6b\x9b\xfe\x12\x40\x2b\x08\xae\x65\x79\x8a\x3d\x81\xe2\x2e\x9e\xc8\x0e\x76\x90\x86\x2e\xf3\xd4\xed\x3a\x00" + , vecMsg = + "\x15\x77\x75\x32\xb0\xbd\xd0\xd1\x38\x9f\x63\x6c\x5f\x6b\x9b\xa7\x34\xc9\x0a\xf5\x72\x87\x7e\x2d\x27\x2d\xd0\x78\xaa\x1e\x56\x7c\xfa\x80\xe1\x29\x28\xbb\x54\x23\x30\xe8\x40\x9f\x31\x74\x50\x41\x07\xec\xd5\xef\xac\x61\xae\x75\x04\xda\xbe\x2a\x60\x2e\xde\x89\xe5\xcc\xa6\x25\x7a\x7c\x77\xe2\x7a\x70\x2b\x3a\xe3\x9f\xc7\x69\xfc\x54\xf2\x39\x5a\xe6\xa1\x17\x8c\xab\x47\x38\xe5\x43\x07\x2f\xc1\xc1\x77\xfe\x71\xe9\x2e\x25\xbf\x03\xe4\xec\xb7\x2f\x47\xb6\x4d\x04\x65\xaa\xea\x4c\x7f\xad\x37\x25\x36\xc8\xba\x51\x6a\x60\x39\xc3\xc2\xa3\x9f\x0e\x4d\x83\x2b\xe4\x32\xdf\xa9\xa7\x06\xa6\xe5\xc7\xe1\x9f\x39\x79\x64\xca\x42\x58\x00\x2f\x7c\x05\x41\xb5\x90\x31\x6d\xbc\x56\x22\xb6\xb2\xa6\xfe\x7a\x4a\xbf\xfd\x96\x10\x5e\xca\x76\xea\x7b\x98\x81\x6a\xf0\x74\x8c\x10\xdf\x04\x8c\xe0\x12\xd9\x01\x01\x5a\x51\xf1\x89\xf3\x88\x81\x45\xc0\x36\x50\xaa\x23\xce\x89\x4c\x3b\xd8\x89\xe0\x30\xd5\x65\x07\x1c\x59\xf4\x09\xa9\x98\x1b\x51\x87\x8f\xd6\xfc\x11\x06\x24\xdc\xbc\xde\x0b\xf7\xa6\x9c\xcc\xe3\x8f\xab\xdf\x86\xf3\xbe\xf6\x04\x48\x19\xde\x11" + , vecSig = + "\xc6\x50\xdd\xbb\x06\x01\xc1\x9c\xa1\x14\x39\xe1\x64\x0d\xd9\x31\xf4\x3c\x51\x8e\xa5\xbe\xa7\x0d\x3d\xcd\xe5\xf4\x19\x1f\xe5\x3f\x00\xcf\x96\x65\x46\xb7\x2b\xcc\x7d\x58\xbe\x2b\x9b\xad\xef\x28\x74\x39\x54\xe3\xa4\x4a\x23\xf8\x80\xe8\xd4\xf1\xcf\xce\x2d\x7a\x61\x45\x2d\x26\xda\x05\x89\x6f\x0a\x50\xda\x66\xa2\x39\xa8\xa1\x88\xb6\xd8\x25\xb3\x30\x5a\xd7\x7b\x73\xfb\xac\x08\x36\xec\xc6\x09\x87\xfd\x08\x52\x7c\x1a\x8e\x80\xd5\x82\x3e\x65\xca\xfe\x2a\x3d\x00" + } + , Vec + { vecSec = + "\x87\x2d\x09\x37\x80\xf5\xd3\x73\x0d\xf7\xc2\x12\x66\x4b\x37\xb8\xa0\xf2\x4f\x56\x81\x0d\xaa\x83\x82\xcd\x4f\xa3\xf7\x76\x34\xec\x44\xdc\x54\xf1\xc2\xed\x9b\xea\x86\xfa\xfb\x76\x32\xd8\xbe\x19\x9e\xa1\x65\xf5\xad\x55\xdd\x9c\xe8" + , vecPub = + "\xa8\x1b\x2e\x8a\x70\xa5\xac\x94\xff\xdb\xcc\x9b\xad\xfc\x3f\xeb\x08\x01\xf2\x58\x57\x8b\xb1\x14\xad\x44\xec\xe1\xec\x0e\x79\x9d\xa0\x8e\xff\xb8\x1c\x5d\x68\x5c\x0c\x56\xf6\x4e\xec\xae\xf8\xcd\xf1\x1c\xc3\x87\x37\x83\x8c\xf4\x00" + , vecMsg = + 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+ , vecSig = + "\xe3\x01\x34\x5a\x41\xa3\x9a\x4d\x72\xff\xf8\xdf\x69\xc9\x80\x75\xa0\xcc\x08\x2b\x80\x2f\xc9\xb2\xb6\xbc\x50\x3f\x92\x6b\x65\xbd\xdf\x7f\x4c\x8f\x1c\xb4\x9f\x63\x96\xaf\xc8\xa7\x0a\xbe\x6d\x8a\xef\x0d\xb4\x78\xd4\xc6\xb2\x97\x00\x76\xc6\xa0\x48\x4f\xe7\x6d\x76\xb3\xa9\x76\x25\xd7\x9f\x1c\xe2\x40\xe7\xc5\x76\x75\x0d\x29\x55\x28\x28\x6f\x71\x9b\x41\x3d\xe9\xad\xa3\xe8\xeb\x78\xed\x57\x36\x03\xce\x30\xd8\xbb\x76\x17\x85\xdc\x30\xdb\xc3\x20\x86\x9e\x1a\x00" + } + ] + +doPublicKeyTest i vec = it (show i) (Ed448.toPublic sec `shouldBe` pub) + where + !pub = throwCryptoError $ Ed448.publicKey (vecPub vec) + !sec = throwCryptoError $ Ed448.secretKey (vecSec vec) + +doSignatureTest i vec = it (show i) (Ed448.sign sec pub (vecMsg vec) `shouldBe` sig) + where + !sig = throwCryptoError $ Ed448.signature (vecSig vec) + !pub = throwCryptoError $ Ed448.publicKey (vecPub vec) + !sec = throwCryptoError $ Ed448.secretKey (vecSec vec) + +doVerifyTest i vec = it (show i) (Ed448.verify pub (vecMsg vec) sig `shouldBe` True) + where + !sig = throwCryptoError $ Ed448.signature (vecSig vec) + !pub = throwCryptoError $ Ed448.publicKey (vecPub vec) + +spec :: Spec +spec = do + it "gen secretkey" (Ed448.generateSecretKey *> pure () :: Expectation) + describe "gen publickey" $ zipWithM_ doPublicKeyTest [katZero ..] vectors + describe "gen signature" $ zipWithM_ doSignatureTest [katZero ..] vectors + describe "verify sig" $ zipWithM_ doVerifyTest [katZero ..] vectors diff --git a/tests/EdDSASpec.hs b/tests/EdDSASpec.hs new file mode 100644 --- /dev/null +++ b/tests/EdDSASpec.hs @@ -0,0 +1,244 @@ +{-# LANGUAGE BangPatterns #-} +{-# LANGUAGE ExistentialQuantification #-} +{-# LANGUAGE GADTs #-} +{-# LANGUAGE OverloadedStrings #-} +{-# LANGUAGE RecordWildCards #-} +{-# LANGUAGE TypeOperators #-} + +module EdDSASpec (spec) where + +import Crypto.ECC +import Crypto.Error +import Crypto.Hash.Algorithms +import Crypto.Hash.IO +import qualified Crypto.PubKey.EdDSA as EdDSA +import Data.ByteArray.Encoding (Base (Base16), convertFromBase) +import Imports + +data Vec + = forall curve hash. + ( EdDSA.EllipticCurveEdDSA curve + , HashAlgorithm hash + , HashDigestSize hash ~ EdDSA.CurveDigestSize curve + ) => + Vec + { vecPrx :: Maybe curve + , vecAlg :: hash + , vecSec :: ByteString + , vecPub :: ByteString + , vecMsg :: ByteString + , vecSig :: ByteString + } + +vectors = + [ Vec + { vecPrx = Just Curve_Edwards25519 + , vecAlg = SHA512 + , vecSec = + "\x9d\x61\xb1\x9d\xef\xfd\x5a\x60\xba\x84\x4a\xf4\x92\xec\x2c\xc4\x44\x49\xc5\x69\x7b\x32\x69\x19\x70\x3b\xac\x03\x1c\xae\x7f\x60" + , vecPub = + "\xd7\x5a\x98\x01\x82\xb1\x0a\xb7\xd5\x4b\xfe\xd3\xc9\x64\x07\x3a\x0e\xe1\x72\xf3\xda\xa6\x23\x25\xaf\x02\x1a\x68\xf7\x07\x51\x1a" + , vecMsg = "" + , vecSig = + "\xe5\x56\x43\x00\xc3\x60\xac\x72\x90\x86\xe2\xcc\x80\x6e\x82\x8a\x84\x87\x7f\x1e\xb8\xe5\xd9\x74\xd8\x73\xe0\x65\x22\x49\x01\x55\x5f\xb8\x82\x15\x90\xa3\x3b\xac\xc6\x1e\x39\x70\x1c\xf9\xb4\x6b\xd2\x5b\xf5\xf0\x59\x5b\xbe\x24\x65\x51\x41\x43\x8e\x7a\x10\x0b" + } + , Vec + { vecPrx = Just Curve_Edwards25519 + , vecAlg = SHA512 + , vecSec = + "\x4c\xcd\x08\x9b\x28\xff\x96\xda\x9d\xb6\xc3\x46\xec\x11\x4e\x0f\x5b\x8a\x31\x9f\x35\xab\xa6\x24\xda\x8c\xf6\xed\x4f\xb8\xa6\xfb" + , vecPub = + "\x3d\x40\x17\xc3\xe8\x43\x89\x5a\x92\xb7\x0a\xa7\x4d\x1b\x7e\xbc\x9c\x98\x2c\xcf\x2e\xc4\x96\x8c\xc0\xcd\x55\xf1\x2a\xf4\x66\x0c" + , vecMsg = "\x72" + , vecSig = + "\x92\xa0\x09\xa9\xf0\xd4\xca\xb8\x72\x0e\x82\x0b\x5f\x64\x25\x40\xa2\xb2\x7b\x54\x16\x50\x3f\x8f\xb3\x76\x22\x23\xeb\xdb\x69\xda\x08\x5a\xc1\xe4\x3e\x15\x99\x6e\x45\x8f\x36\x13\xd0\xf1\x1d\x8c\x38\x7b\x2e\xae\xb4\x30\x2a\xee\xb0\x0d\x29\x16\x12\xbb\x0c\x00" + } + , Vec + { vecPrx = Just Curve_Edwards25519 + , vecAlg = SHA512 + , vecSec = + "\xc5\xaa\x8d\xf4\x3f\x9f\x83\x7b\xed\xb7\x44\x2f\x31\xdc\xb7\xb1\x66\xd3\x85\x35\x07\x6f\x09\x4b\x85\xce\x3a\x2e\x0b\x44\x58\xf7" + , vecPub = + "\xfc\x51\xcd\x8e\x62\x18\xa1\xa3\x8d\xa4\x7e\xd0\x02\x30\xf0\x58\x08\x16\xed\x13\xba\x33\x03\xac\x5d\xeb\x91\x15\x48\x90\x80\x25" + , vecMsg = "\xaf\x82" + , vecSig = + "\x62\x91\xd6\x57\xde\xec\x24\x02\x48\x27\xe6\x9c\x3a\xbe\x01\xa3\x0c\xe5\x48\xa2\x84\x74\x3a\x44\x5e\x36\x80\xd7\xdb\x5a\xc3\xac\x18\xff\x9b\x53\x8d\x16\xf2\x90\xae\x67\xf7\x60\x98\x4d\xc6\x59\x4a\x7c\x15\xe9\x71\x6e\xd2\x8d\xc0\x27\xbe\xce\xea\x1e\xc4\x0a" + } + , Vec + { vecPrx = Just Curve_Edwards25519 + , vecAlg = SHA512 + , vecSec = + "\xf5\xe5\x76\x7c\xf1\x53\x31\x95\x17\x63\x0f\x22\x68\x76\xb8\x6c\x81\x60\xcc\x58\x3b\xc0\x13\x74\x4c\x6b\xf2\x55\xf5\xcc\x0e\xe5" + , vecPub = + "\x27\x81\x17\xfc\x14\x4c\x72\x34\x0f\x67\xd0\xf2\x31\x6e\x83\x86\xce\xff\xbf\x2b\x24\x28\xc9\xc5\x1f\xef\x7c\x59\x7f\x1d\x42\x6e" + , vecMsg = + "\x08\xb8\xb2\xb7\x33\x42\x42\x43\x76\x0f\xe4\x26\xa4\xb5\x49\x08\x63\x21\x10\xa6\x6c\x2f\x65\x91\xea\xbd\x33\x45\xe3\xe4\xeb\x98\xfa\x6e\x26\x4b\xf0\x9e\xfe\x12\xee\x50\xf8\xf5\x4e\x9f\x77\xb1\xe3\x55\xf6\xc5\x05\x44\xe2\x3f\xb1\x43\x3d\xdf\x73\xbe\x84\xd8\x79\xde\x7c\x00\x46\xdc\x49\x96\xd9\xe7\x73\xf4\xbc\x9e\xfe\x57\x38\x82\x9a\xdb\x26\xc8\x1b\x37\xc9\x3a\x1b\x27\x0b\x20\x32\x9d\x65\x86\x75\xfc\x6e\xa5\x34\xe0\x81\x0a\x44\x32\x82\x6b\xf5\x8c\x94\x1e\xfb\x65\xd5\x7a\x33\x8b\xbd\x2e\x26\x64\x0f\x89\xff\xbc\x1a\x85\x8e\xfc\xb8\x55\x0e\xe3\xa5\xe1\x99\x8b\xd1\x77\xe9\x3a\x73\x63\xc3\x44\xfe\x6b\x19\x9e\xe5\xd0\x2e\x82\xd5\x22\xc4\xfe\xba\x15\x45\x2f\x80\x28\x8a\x82\x1a\x57\x91\x16\xec\x6d\xad\x2b\x3b\x31\x0d\xa9\x03\x40\x1a\xa6\x21\x00\xab\x5d\x1a\x36\x55\x3e\x06\x20\x3b\x33\x89\x0c\xc9\xb8\x32\xf7\x9e\xf8\x05\x60\xcc\xb9\xa3\x9c\xe7\x67\x96\x7e\xd6\x28\xc6\xad\x57\x3c\xb1\x16\xdb\xef\xef\xd7\x54\x99\xda\x96\xbd\x68\xa8\xa9\x7b\x92\x8a\x8b\xbc\x10\x3b\x66\x21\xfc\xde\x2b\xec\xa1\x23\x1d\x20\x6b\xe6\xcd\x9e\xc7\xaf\xf6\xf6\xc9\x4f\xcd\x72\x04\xed\x34\x55\xc6\x8c\x83\xf4\xa4\x1d\xa4\xaf\x2b\x74\xef\x5c\x53\xf1\xd8\xac\x70\xbd\xcb\x7e\xd1\x85\xce\x81\xbd\x84\x35\x9d\x44\x25\x4d\x95\x62\x9e\x98\x55\xa9\x4a\x7c\x19\x58\xd1\xf8\xad\xa5\xd0\x53\x2e\xd8\xa5\xaa\x3f\xb2\xd1\x7b\xa7\x0e\xb6\x24\x8e\x59\x4e\x1a\x22\x97\xac\xbb\xb3\x9d\x50\x2f\x1a\x8c\x6e\xb6\xf1\xce\x22\xb3\xde\x1a\x1f\x40\xcc\x24\x55\x41\x19\xa8\x31\xa9\xaa\xd6\x07\x9c\xad\x88\x42\x5d\xe6\xbd\xe1\xa9\x18\x7e\xbb\x60\x92\xcf\x67\xbf\x2b\x13\xfd\x65\xf2\x70\x88\xd7\x8b\x7e\x88\x3c\x87\x59\xd2\xc4\xf5\xc6\x5a\xdb\x75\x53\x87\x8a\xd5\x75\xf9\xfa\xd8\x78\xe8\x0a\x0c\x9b\xa6\x3b\xcb\xcc\x27\x32\xe6\x94\x85\xbb\xc9\xc9\x0b\xfb\xd6\x24\x81\xd9\x08\x9b\xec\xcf\x80\xcf\xe2\xdf\x16\xa2\xcf\x65\xbd\x92\xdd\x59\x7b\x07\x07\xe0\x91\x7a\xf4\x8b\xbb\x75\xfe\xd4\x13\xd2\x38\xf5\x55\x5a\x7a\x56\x9d\x80\xc3\x41\x4a\x8d\x08\x59\xdc\x65\xa4\x61\x28\xba\xb2\x7a\xf8\x7a\x71\x31\x4f\x31\x8c\x78\x2b\x23\xeb\xfe\x80\x8b\x82\xb0\xce\x26\x40\x1d\x2e\x22\xf0\x4d\x83\xd1\x25\x5d\xc5\x1a\xdd\xd3\xb7\x5a\x2b\x1a\xe0\x78\x45\x04\xdf\x54\x3a\xf8\x96\x9b\xe3\xea\x70\x82\xff\x7f\xc9\x88\x8c\x14\x4d\xa2\xaf\x58\x42\x9e\xc9\x60\x31\xdb\xca\xd3\xda\xd9\xaf\x0d\xcb\xaa\xaf\x26\x8c\xb8\xfc\xff\xea\xd9\x4f\x3c\x7c\xa4\x95\xe0\x56\xa9\xb4\x7a\xcd\xb7\x51\xfb\x73\xe6\x66\xc6\xc6\x55\xad\xe8\x29\x72\x97\xd0\x7a\xd1\xba\x5e\x43\xf1\xbc\xa3\x23\x01\x65\x13\x39\xe2\x29\x04\xcc\x8c\x42\xf5\x8c\x30\xc0\x4a\xaf\xdb\x03\x8d\xda\x08\x47\xdd\x98\x8d\xcd\xa6\xf3\xbf\xd1\x5c\x4b\x4c\x45\x25\x00\x4a\xa0\x6e\xef\xf8\xca\x61\x78\x3a\xac\xec\x57\xfb\x3d\x1f\x92\xb0\xfe\x2f\xd1\xa8\x5f\x67\x24\x51\x7b\x65\xe6\x14\xad\x68\x08\xd6\xf6\xee\x34\xdf\xf7\x31\x0f\xdc\x82\xae\xbf\xd9\x04\xb0\x1e\x1d\xc5\x4b\x29\x27\x09\x4b\x2d\xb6\x8d\x6f\x90\x3b\x68\x40\x1a\xde\xbf\x5a\x7e\x08\xd7\x8f\xf4\xef\x5d\x63\x65\x3a\x65\x04\x0c\xf9\xbf\xd4\xac\xa7\x98\x4a\x74\xd3\x71\x45\x98\x67\x80\xfc\x0b\x16\xac\x45\x16\x49\xde\x61\x88\xa7\xdb\xdf\x19\x1f\x64\xb5\xfc\x5e\x2a\xb4\x7b\x57\xf7\xf7\x27\x6c\xd4\x19\xc1\x7a\x3c\xa8\xe1\xb9\x39\xae\x49\xe4\x88\xac\xba\x6b\x96\x56\x10\xb5\x48\x01\x09\xc8\xb1\x7b\x80\xe1\xb7\xb7\x50\xdf\xc7\x59\x8d\x5d\x50\x11\xfd\x2d\xcc\x56\x00\xa3\x2e\xf5\xb5\x2a\x1e\xcc\x82\x0e\x30\x8a\xa3\x42\x72\x1a\xac\x09\x43\xbf\x66\x86\xb6\x4b\x25\x79\x37\x65\x04\xcc\xc4\x93\xd9\x7e\x6a\xed\x3f\xb0\xf9\xcd\x71\xa4\x3d\xd4\x97\xf0\x1f\x17\xc0\xe2\xcb\x37\x97\xaa\x2a\x2f\x25\x66\x56\x16\x8e\x6c\x49\x6a\xfc\x5f\xb9\x32\x46\xf6\xb1\x11\x63\x98\xa3\x46\xf1\xa6\x41\xf3\xb0\x41\xe9\x89\xf7\x91\x4f\x90\xcc\x2c\x7f\xff\x35\x78\x76\xe5\x06\xb5\x0d\x33\x4b\xa7\x7c\x22\x5b\xc3\x07\xba\x53\x71\x52\xf3\xf1\x61\x0e\x4e\xaf\xe5\x95\xf6\xd9\xd9\x0d\x11\xfa\xa9\x33\xa1\x5e\xf1\x36\x95\x46\x86\x8a\x7f\x3a\x45\xa9\x67\x68\xd4\x0f\xd9\xd0\x34\x12\xc0\x91\xc6\x31\x5c\xf4\xfd\xe7\xcb\x68\x60\x69\x37\x38\x0d\xb2\xea\xaa\x70\x7b\x4c\x41\x85\xc3\x2e\xdd\xcd\xd3\x06\x70\x5e\x4d\xc1\xff\xc8\x72\xee\xee\x47\x5a\x64\xdf\xac\x86\xab\xa4\x1c\x06\x18\x98\x3f\x87\x41\xc5\xef\x68\xd3\xa1\x01\xe8\xa3\xb8\xca\xc6\x0c\x90\x5c\x15\xfc\x91\x08\x40\xb9\x4c\x00\xa0\xb9\xd0" + , vecSig = + "\x0a\xab\x4c\x90\x05\x01\xb3\xe2\x4d\x7c\xdf\x46\x63\x32\x6a\x3a\x87\xdf\x5e\x48\x43\xb2\xcb\xdb\x67\xcb\xf6\xe4\x60\xfe\xc3\x50\xaa\x53\x71\xb1\x50\x8f\x9f\x45\x28\xec\xea\x23\xc4\x36\xd9\x4b\x5e\x8f\xcd\x4f\x68\x1e\x30\xa6\xac\x00\xa9\x70\x4a\x18\x8a\x03" + } + , Vec + { vecPrx = Just Curve_Edwards25519 + , vecAlg = SHA512 + , vecSec = + "\x83\x3f\xe6\x24\x09\x23\x7b\x9d\x62\xec\x77\x58\x75\x20\x91\x1e\x9a\x75\x9c\xec\x1d\x19\x75\x5b\x7d\xa9\x01\xb9\x6d\xca\x3d\x42" + , vecPub = + "\xec\x17\x2b\x93\xad\x5e\x56\x3b\xf4\x93\x2c\x70\xe1\x24\x50\x34\xc3\x54\x67\xef\x2e\xfd\x4d\x64\xeb\xf8\x19\x68\x34\x67\xe2\xbf" + , vecMsg = + "\xdd\xaf\x35\xa1\x93\x61\x7a\xba\xcc\x41\x73\x49\xae\x20\x41\x31\x12\xe6\xfa\x4e\x89\xa9\x7e\xa2\x0a\x9e\xee\xe6\x4b\x55\xd3\x9a\x21\x92\x99\x2a\x27\x4f\xc1\xa8\x36\xba\x3c\x23\xa3\xfe\xeb\xbd\x45\x4d\x44\x23\x64\x3c\xe8\x0e\x2a\x9a\xc9\x4f\xa5\x4c\xa4\x9f" + , vecSig = + "\xdc\x2a\x44\x59\xe7\x36\x96\x33\xa5\x2b\x1b\xf2\x77\x83\x9a\x00\x20\x10\x09\xa3\xef\xbf\x3e\xcb\x69\xbe\xa2\x18\x6c\x26\xb5\x89\x09\x35\x1f\xc9\xac\x90\xb3\xec\xfd\xfb\xc7\xc6\x64\x31\xe0\x30\x3d\xca\x17\x9c\x13\x8a\xc1\x7a\xd9\xbe\xf1\x17\x73\x31\xa7\x04" + } + , Vec + { vecPrx = Just Curve_Edwards25519 + , vecAlg = Blake2b_512 + , vecSec = + "\x9d\x61\xb1\x9d\xef\xfd\x5a\x60\xba\x84\x4a\xf4\x92\xec\x2c\xc4\x44\x49\xc5\x69\x7b\x32\x69\x19\x70\x3b\xac\x03\x1c\xae\x7f\x60" + , vecPub = + "\x78\xe6\x5b\xf3\x0f\x89\x3d\x32\xfc\x57\xef\x05\x1c\x34\x1b\xde\xde\x24\x25\x44\xfc\x2a\x21\x12\xf0\xfa\x2c\x7a\xfd\xeb\xc0\x2f" + , vecMsg = "" + , vecSig = + "\x99\xa5\x23\xbd\x46\x16\xc8\x16\x11\x44\xd6\xa9\x9d\x3c\x32\x40\x0c\xb4\xa3\x26\xf4\xd7\x9e\x30\x73\x40\xf6\xaf\xa1\x17\x50\xa0\x08\x5d\x7d\x84\x62\x6b\xc9\xe4\xb1\x53\xfc\x0e\x39\x6d\x15\xce\x44\xc3\x9b\xae\x45\x33\x80\x4d\xb1\xfe\x5b\x52\xf2\xb1\xb8\x05" + } + , Vec + { vecPrx = Just Curve_Edwards25519 + , vecAlg = Blake2b_512 + , vecSec = + "\x4c\xcd\x08\x9b\x28\xff\x96\xda\x9d\xb6\xc3\x46\xec\x11\x4e\x0f\x5b\x8a\x31\x9f\x35\xab\xa6\x24\xda\x8c\xf6\xed\x4f\xb8\xa6\xfb" + , vecPub = + "\x5e\x71\x39\x2d\x91\xe6\xa5\x8f\xed\xeb\x08\x50\x36\x4f\x56\xcd\x15\x8a\x60\x44\x75\x57\xd7\x89\x03\x89\xc9\xb3\xd4\x57\x6d\x4d" + , vecMsg = "\x72" + , vecSig = + "\x6d\xa7\x5e\x15\xb5\x70\x7f\x4d\xe5\xa1\x53\xc4\x8a\x5d\x83\x9f\xb8\x50\x74\xc3\x8a\xeb\x62\x85\x97\x7f\x03\xa1\x39\x77\x59\x7f\x97\x60\x69\xfd\xb9\x03\xf1\x83\x47\x4a\xaa\x5e\xd0\xcf\xe8\x78\xba\x8e\xf8\x68\xc5\xe4\x7c\xa3\xf9\x6c\xcf\xb3\xa8\x9b\x2a\x06" + } + , Vec + { vecPrx = Just Curve_Edwards25519 + , vecAlg = Blake2b_512 + , vecSec = + "\xc5\xaa\x8d\xf4\x3f\x9f\x83\x7b\xed\xb7\x44\x2f\x31\xdc\xb7\xb1\x66\xd3\x85\x35\x07\x6f\x09\x4b\x85\xce\x3a\x2e\x0b\x44\x58\xf7" + , vecPub = + "\x8d\x53\xca\x70\xf0\xea\xb2\x3b\x91\x78\x34\x57\x85\xfc\xdb\x69\xed\x67\x23\xf8\x14\x8f\x7e\x33\x9e\x88\x65\x37\x00\xb7\x18\xda" + , vecMsg = "\xaf\x82" + , vecSig = + "\x7c\xc3\xc1\x38\x52\xbd\x12\xab\xf3\xce\x4c\xa8\xca\x28\x36\xcb\xf8\x6d\xa9\x6c\x46\x34\xc5\x0d\xf3\xfb\x80\xdc\x80\x9e\x29\xdb\x0e\x10\x9c\x36\x13\x53\x40\x7c\x12\x36\xa9\x04\xf6\x36\x86\x8a\xa3\x39\x77\xa9\x9d\x3f\x84\x45\x98\xdb\x15\x38\xb4\x29\x52\x03" + } + , Vec + { vecPrx = Just Curve_Edwards25519 + , vecAlg = Blake2b_512 + , vecSec = + "\xf5\xe5\x76\x7c\xf1\x53\x31\x95\x17\x63\x0f\x22\x68\x76\xb8\x6c\x81\x60\xcc\x58\x3b\xc0\x13\x74\x4c\x6b\xf2\x55\xf5\xcc\x0e\xe5" + , vecPub = + "\x9e\x3c\xa4\x9b\xb2\xd9\xe3\x6b\x8f\x0c\x94\x4a\x7b\x1c\x29\x26\x45\xda\x87\xce\x6f\xa6\xb4\x28\x86\xe5\xd7\xc8\x68\x33\xa7\x14" + , vecMsg = + 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+ , vecSig = + "\xd0\x39\x65\xac\x31\x6a\x20\xf5\xa4\x7a\xb2\xd6\x18\x5e\xb3\xf0\xae\xea\x9c\x2e\xb8\xab\xe9\x22\xe9\x6d\x31\x7b\x3b\xd0\xef\x02\xe8\xd4\x7f\xd9\x23\x84\xe2\x86\x15\xeb\x33\x14\xad\xbc\x71\xc4\x67\x59\x96\x09\x9e\x48\x4c\xeb\x16\x28\x47\xc4\x0c\x32\x44\x0e" + } + ] + +doPublicKeyTest :: Int -> Vec -> Spec +doPublicKeyTest i Vec{..} = + it (show i) (EdDSA.toPublic vecPrx vecAlg sec `shouldBe` pub) + where + !pub = throwCryptoError $ EdDSA.publicKey vecPrx vecAlg vecPub + !sec = throwCryptoError $ EdDSA.secretKey vecPrx vecSec + +doSignatureTest :: Int -> Vec -> Spec +doSignatureTest i Vec{..} = + it (show i) (EdDSA.sign vecPrx sec pub vecMsg `shouldBe` sig) + where + !sig = throwCryptoError $ EdDSA.signature vecPrx vecAlg vecSig + !pub = throwCryptoError $ EdDSA.publicKey vecPrx vecAlg vecPub + !sec = throwCryptoError $ EdDSA.secretKey vecPrx vecSec + +doVerifyTest :: Int -> Vec -> Spec +doVerifyTest i Vec{..} = + it (show i) (EdDSA.verify vecPrx pub vecMsg sig `shouldBe` True) + where + !sig = throwCryptoError $ EdDSA.signature vecPrx vecAlg vecSig + !pub = throwCryptoError $ EdDSA.publicKey vecPrx vecAlg vecPub + +unhex :: ByteString -> ByteString +unhex = either error id . convertFromBase Base16 + +-- | Invalid signatures from Wycheproof's ed25519_test.json. +data NegVec + = forall curve hash. + ( EdDSA.EllipticCurveEdDSA curve + , HashAlgorithm hash + , HashDigestSize hash ~ EdDSA.CurveDigestSize curve + ) => + NegVec + { negPrx :: Maybe curve + , negAlg :: hash + , negTc :: Int + , negWhy :: String + , negPub :: ByteString + , negMsg :: ByteString + , negSig :: ByteString + } + +negVectors = + [ ed25519Neg + 63 + "s replaced by s + L" + "7d4d0e7f6153a69b6242b522abbee685fda4420f8834b108c3bdae369ef549fa" + "54657374" + "7c38e026f29e14aabd059a0f2db8b0cd783040609a8be684db12f82a27774ab067654bce3832c2d76f8f6f5dafc08d9339d4eef676573336a5c51eb6f946b31d" + , ed25519Neg + 64 + "s replaced by s + 2L" + "7d4d0e7f6153a69b6242b522abbee685fda4420f8834b108c3bdae369ef549fa" + "54657374" + "7c38e026f29e14aabd059a0f2db8b0cd783040609a8be684db12f82a27774ab05439412b5395d42f462c67008eba6ca839d4eef676573336a5c51eb6f946b32d" + , ed25519Neg + 65 + "s replaced by s + 4L" + "7d4d0e7f6153a69b6242b522abbee685fda4420f8834b108c3bdae369ef549fa" + "54657374" + "7c38e026f29e14aabd059a0f2db8b0cd783040609a8be684db12f82a27774ab02ee12ce5875bf9dff26556464bae2ad239d4eef676573336a5c51eb6f946b34d" + , ed25519Neg + 66 + "s replaced by s + 8L" + "7d4d0e7f6153a69b6242b522abbee685fda4420f8834b108c3bdae369ef549fa" + "54657374" + "7c38e026f29e14aabd059a0f2db8b0cd783040609a8be684db12f82a27774ab0e2300459f1e742404cd934d2c595a6253ad4eef676573336a5c51eb6f946b38d" + , ed25519Neg + 85 + "s just above the bound" + "100fdf47fb94f1536a4f7c3fda27383fa03375a8f527c537e6f1703c47f94f86" + "6a0bc2b0057cedfc0fa2e3f7f7d39279b30f454a69dfd1117c758d86b19d85e0" + "0971f86d2c9c78582524a103cb9cf949522ae528f8054dc20107d999be673ff4e25ebf2f2928766b1248bec6e91697775f8446639ede46ad4df4053000000010" + , ed25519Neg + 151 + "R encodes y = 1 with the sign bit of x set" + "d75a980182b10ab7d54bfed3c964073a0ee172f3daa62325af021a68f707511a" + "313233343030" + "0100000000000000000000000000000000000000000000000000000000000080c803ee1f2342aa96ff698a393d1ab5e66f3eda101d6d120b394c3fd32c117d0a" + ] + where + ed25519Neg tc why pub msg sig = + NegVec + { negPrx = Just Curve_Edwards25519 + , negAlg = SHA512 + , negTc = tc + , negWhy = why + , negPub = unhex pub + , negMsg = unhex msg + , negSig = unhex sig + } + +doNegVerifyTest :: NegVec -> Spec +doNegVerifyTest NegVec{..} = + it + (show negTc ++ ": " ++ negWhy) + (EdDSA.verify negPrx pub negMsg sig `shouldBe` False) + where + !sig = throwCryptoError $ EdDSA.signature negPrx negAlg negSig + !pub = throwCryptoError $ EdDSA.publicKey negPrx negAlg negPub + +spec :: Spec +spec = do + describe "gen publickey" $ zipWithM_ doPublicKeyTest [katZero ..] vectors + describe "gen signature" $ zipWithM_ doSignatureTest [katZero ..] vectors + describe "verify sig" $ zipWithM_ doVerifyTest [katZero ..] vectors + describe "reject non-canonical encoding" $ mapM_ doNegVerifyTest negVectors diff --git a/tests/Hash.hs b/tests/Hash.hs deleted file mode 100644 --- a/tests/Hash.hs +++ /dev/null @@ -1,293 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -{-# LANGUAGE ExistentialQuantification #-} -{-# LANGUAGE DataKinds #-} -module Hash - ( tests - ) where - -import Crypto.Hash - -import qualified Data.ByteString as B -import Data.ByteArray (convert) -import qualified Data.ByteArray.Encoding as B (convertToBase, Base(..)) -import GHC.TypeLits -import Imports - -v0,v1,v2 :: ByteString -v0 = "" -v1 = "The quick brown fox jumps over the lazy dog" -v2 = "The quick brown fox jumps over the lazy cog" -vectors = [ v0, v1, v2 ] - -instance Arbitrary ByteString where - arbitrary = B.pack `fmap` arbitrary - -data HashAlg = forall alg . HashAlgorithm alg => HashAlg alg - -expected :: [ (String, HashAlg, [ByteString]) ] -expected = [ - ("MD2", HashAlg MD2, [ - "8350e5a3e24c153df2275c9f80692773", - "03d85a0d629d2c442e987525319fc471", - "6b890c9292668cdbbfda00a4ebf31f05" ]), - ("MD4", HashAlg MD4, [ - "31d6cfe0d16ae931b73c59d7e0c089c0", - "1bee69a46ba811185c194762abaeae90", - "b86e130ce7028da59e672d56ad0113df" ]), - ("MD5", HashAlg MD5, [ - "d41d8cd98f00b204e9800998ecf8427e", - "9e107d9d372bb6826bd81d3542a419d6", - "1055d3e698d289f2af8663725127bd4b" ]), - ("SHA1", HashAlg SHA1, [ - "da39a3ee5e6b4b0d3255bfef95601890afd80709", - "2fd4e1c67a2d28fced849ee1bb76e7391b93eb12", - "de9f2c7fd25e1b3afad3e85a0bd17d9b100db4b3" ]), - ("SHA224", HashAlg SHA224, [ - "d14a028c2a3a2bc9476102bb288234c415a2b01f828ea62ac5b3e42f", - "730e109bd7a8a32b1cb9d9a09aa2325d2430587ddbc0c38bad911525", - "fee755f44a55f20fb3362cdc3c493615b3cb574ed95ce610ee5b1e9b" ]), - ("SHA256", HashAlg SHA256, [ - "e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855", - "d7a8fbb307d7809469ca9abcb0082e4f8d5651e46d3cdb762d02d0bf37c9e592", - "e4c4d8f3bf76b692de791a173e05321150f7a345b46484fe427f6acc7ecc81be" ]), - ("SHA384", HashAlg SHA384, [ - "38b060a751ac96384cd9327eb1b1e36a21fdb71114be07434c0cc7bf63f6e1da274edebfe76f65fbd51ad2f14898b95b", - "ca737f1014a48f4c0b6dd43cb177b0afd9e5169367544c494011e3317dbf9a509cb1e5dc1e85a941bbee3d7f2afbc9b1", - "098cea620b0978caa5f0befba6ddcf22764bea977e1c70b3483edfdf1de25f4b40d6cea3cadf00f809d422feb1f0161b" ]), - ("SHA512", HashAlg SHA512, [ - "cf83e1357eefb8bdf1542850d66d8007d620e4050b5715dc83f4a921d36ce9ce47d0d13c5d85f2b0ff8318d2877eec2f63b931bd47417a81a538327af927da3e", - "07e547d9586f6a73f73fbac0435ed76951218fb7d0c8d788a309d785436bbb642e93a252a954f23912547d1e8a3b5ed6e1bfd7097821233fa0538f3db854fee6", - "3eeee1d0e11733ef152a6c29503b3ae20c4f1f3cda4cb26f1bc1a41f91c7fe4ab3bd86494049e201c4bd5155f31ecb7a3c8606843c4cc8dfcab7da11c8ae5045" ]), - ("SHA512/224", HashAlg SHA512t_224, [ - "6ed0dd02806fa89e25de060c19d3ac86cabb87d6a0ddd05c333b84f4", - "944cd2847fb54558d4775db0485a50003111c8e5daa63fe722c6aa37", - "2b9d6565a7e40f780ba8ab7c8dcf41e3ed3b77997f4c55aa987eede5" ]), - ("SHA512/256", HashAlg SHA512t_256, [ - "c672b8d1ef56ed28ab87c3622c5114069bdd3ad7b8f9737498d0c01ecef0967a", - "dd9d67b371519c339ed8dbd25af90e976a1eeefd4ad3d889005e532fc5bef04d", - "cc8d255a7f2f38fd50388fd1f65ea7910835c5c1e73da46fba01ea50d5dd76fb" ]), - ("RIPEMD160", HashAlg RIPEMD160, [ - "9c1185a5c5e9fc54612808977ee8f548b2258d31", - "37f332f68db77bd9d7edd4969571ad671cf9dd3b", - "132072df690933835eb8b6ad0b77e7b6f14acad7" ]), - ("Tiger", HashAlg Tiger, [ - "3293ac630c13f0245f92bbb1766e16167a4e58492dde73f3", - "6d12a41e72e644f017b6f0e2f7b44c6285f06dd5d2c5b075", - "a8f04b0f7201a0d728101c9d26525b31764a3493fcd8458f" ]) -{- - , ("Skein256-160", HashAlg Skein256_160, [ - "ff800bed6d2044ee9d604a674e3fda50d9b24a72", - "3265703c166aa3e0d7da070b9cf1b1a5953f0a77", - "17b29aa1424b3ec022505bd215ff73fd2e6d1e5a" ]) --} - , ("Skein256-256", HashAlg Skein256_256, [ - "c8877087da56e072870daa843f176e9453115929094c3a40c463a196c29bf7ba", - "c0fbd7d779b20f0a4614a66697f9e41859eaf382f14bf857e8cdb210adb9b3fe", - "fb2f2f2deed0e1dd7ee2b91cee34e2d1c22072e1f5eaee288c35a0723eb653cd" ]) -{- - , ("Skein512-160", HashAlg Skein512_160, [ - "49daf1ccebb3544bc93cb5019ba91b0eea8876ee", - "826325ee55a6dd18c3b2dbbc9c10420f5475975e", - "7544ec7a35712ec953f02b0d0c86641cae4eb6e5" ]) --} - , ("Skein512-384", HashAlg Skein512_384, [ - "dd5aaf4589dc227bd1eb7bc68771f5baeaa3586ef6c7680167a023ec8ce26980f06c4082c488b4ac9ef313f8cbe70808", - "f814c107f3465e7c54048a5503547deddc377264f05c706b0d19db4847b354855ee52ab6a785c238c9e710d848542041", - "e06520eeadc1d0a44fee1d2492547499c1e58526387c8b9c53905e5edb79f9840575cbf844e21b1ad1ea126dd8a8ca6f" ]) - , ("Skein512-512", HashAlg Skein512_512, [ - "bc5b4c50925519c290cc634277ae3d6257212395cba733bbad37a4af0fa06af41fca7903d06564fea7a2d3730dbdb80c1f85562dfcc070334ea4d1d9e72cba7a", - "94c2ae036dba8783d0b3f7d6cc111ff810702f5c77707999be7e1c9486ff238a7044de734293147359b4ac7e1d09cd247c351d69826b78dcddd951f0ef912713", - "7f81113575e4b4d3441940e87aca331e6d63d103fe5107f29cd877af0d0f5e0ea34164258c60da5190189d0872e63a96596d2ef25e709099842da71d64111e0f" ]) -{- - , ("Skein512-896", HashAlg Skein512_896, [ - "b95175236c83a459ce7ec6c12b761a838b22d750e765b3fdaa892201b2aa714bc3d1d887dd64028bbf177c1dd11baa09c6c4ddb598fd07d6a8c131a09fc5b958e2999a8006754b25abe3bf8492b7eabec70e52e04e5ac867df2393c573f16eee3244554f1d2b724f2c0437c62007f770", - "3265708553e7d146e5c7bcbc97b3e9e9f5b53a5e4af53612bdd6454da4fa7b13d413184fe34ed57b6574be10e389d0ec4b1d2b1dd2c80e0257d5a76b2cd86a19a27b1bcb3cc24d911b5dc5ee74d19ad558fd85b5f024e99f56d1d3199f1f9f88ed85fab9f945f11cf9fc00e94e3ca4c7", - "3d23d3db9be719bbd2119f8402a28f38d8225faa79d5b68b80738c64a82004aafc7a840cd6dd9bced6644fa894a3d8d7d2ee89525fd1956a2db052c4c2f8d2111c91ef46b0997540d42bcf384826af1a5ef6510077f52d0574cf2b46f1b6a5dad07ed40f3d21a13ca2d079fa602ff02d" ]) --} - , ("Whirlpool", HashAlg Whirlpool, [ - "19fa61d75522a4669b44e39c1d2e1726c530232130d407f89afee0964997f7a73e83be698b288febcf88e3e03c4f0757ea8964e59b63d93708b138cc42a66eb3", - "b97de512e91e3828b40d2b0fdce9ceb3c4a71f9bea8d88e75c4fa854df36725fd2b52eb6544edcacd6f8beddfea403cb55ae31f03ad62a5ef54e42ee82c3fb35", - "dce81fc695cfea3d7e1446509238daf89f24cc61896f2d265927daa70f2108f8902f0dfd68be085d5abb9fcd2e482c1dc24f2fabf81f40b73495cad44d7360d3"]) - , ("Keccak-224", HashAlg Keccak_224, [ - "f71837502ba8e10837bdd8d365adb85591895602fc552b48b7390abd", - "310aee6b30c47350576ac2873fa89fd190cdc488442f3ef654cf23fe", - "0b27ff3b732133287f6831e2af47cf342b7ef1f3fcdee248811090cd" ]) - , ("Keccak-256", HashAlg Keccak_256, [ - "c5d2460186f7233c927e7db2dcc703c0e500b653ca82273b7bfad8045d85a470", - "4d741b6f1eb29cb2a9b9911c82f56fa8d73b04959d3d9d222895df6c0b28aa15", - "ed6c07f044d7573cc53bf1276f8cba3dac497919597a45b4599c8f73e22aa334" ]) - , ("Keccak-384", HashAlg Keccak_384, [ - "2c23146a63a29acf99e73b88f8c24eaa7dc60aa771780ccc006afbfa8fe2479b2dd2b21362337441ac12b515911957ff", - "283990fa9d5fb731d786c5bbee94ea4db4910f18c62c03d173fc0a5e494422e8a0b3da7574dae7fa0baf005e504063b3", - "1cc515e1812491058d8b8b226fd85045e746b4937a58b0111b6b7a39dd431b6295bd6b6d05e01e225586b4dab3cbb87a" ]) - , ("Keccak-512", HashAlg Keccak_512, [ - "0eab42de4c3ceb9235fc91acffe746b29c29a8c366b7c60e4e67c466f36a4304c00fa9caf9d87976ba469bcbe06713b435f091ef2769fb160cdab33d3670680e", - "d135bb84d0439dbac432247ee573a23ea7d3c9deb2a968eb31d47c4fb45f1ef4422d6c531b5b9bd6f449ebcc449ea94d0a8f05f62130fda612da53c79659f609", - "10f8caabb5b179861da5e447d34b84d604e3eb81830880e1c2135ffc94580a47cb21f6243ec0053d58b1124d13af2090033659075ee718e0f111bb3f69fb24cf" ]) - , ("SHA3-224", HashAlg SHA3_224, [ - "6b4e03423667dbb73b6e15454f0eb1abd4597f9a1b078e3f5b5a6bc7", - "d15dadceaa4d5d7bb3b48f446421d542e08ad8887305e28d58335795", - "b770eb6ac3ac52bd2f9e8dc186d6b604e7c3b7ffc8bd9220b0078ced" ]) - , ("SHA3-256", HashAlg SHA3_256, [ - "a7ffc6f8bf1ed76651c14756a061d662f580ff4de43b49fa82d80a4b80f8434a", - "69070dda01975c8c120c3aada1b282394e7f032fa9cf32f4cb2259a0897dfc04", - "cc80b0b13ba89613d93f02ee7ccbe72ee26c6edfe577f22e63a1380221caedbc" ]) - , ("SHA3-384", HashAlg SHA3_384, [ - "0c63a75b845e4f7d01107d852e4c2485c51a50aaaa94fc61995e71bbee983a2ac3713831264adb47fb6bd1e058d5f004", - "7063465e08a93bce31cd89d2e3ca8f602498696e253592ed26f07bf7e703cf328581e1471a7ba7ab119b1a9ebdf8be41", - "e414797403c7d01ab64b41e90df4165d59b7f147e4292ba2da336acba242fd651949eb1cfff7e9012e134b40981842e1" ]) - , ("SHA3-512", HashAlg SHA3_512, [ - "a69f73cca23a9ac5c8b567dc185a756e97c982164fe25859e0d1dcc1475c80a615b2123af1f5f94c11e3e9402c3ac558f500199d95b6d3e301758586281dcd26", - "01dedd5de4ef14642445ba5f5b97c15e47b9ad931326e4b0727cd94cefc44fff23f07bf543139939b49128caf436dc1bdee54fcb24023a08d9403f9b4bf0d450", - "28e361fe8c56e617caa56c28c7c36e5c13be552b77081be82b642f08bb7ef085b9a81910fe98269386b9aacfd2349076c9506126e198f6f6ad44c12017ca77b1" ]) - , ("Blake2b-160", HashAlg Blake2b_160, [ - "3345524abf6bbe1809449224b5972c41790b6cf2", - "3c523ed102ab45a37d54f5610d5a983162fde84f", - "a3d365b5fba5d36fbb19c03b7fde496058969c5a" ]) - , ("Blake2b-224", HashAlg Blake2b_224, [ - "836cc68931c2e4e3e838602eca1902591d216837bafddfe6f0c8cb07", - "477c3985751dd4d1b8c93827ea5310b33bb02a26463a050dffd3e857", - "a4a1b6851be66891a3deff406c4d7556879ebf952407450755f90eb6" ]) - , ("Blake2b-256", HashAlg Blake2b_256, [ - "0e5751c026e543b2e8ab2eb06099daa1d1e5df47778f7787faab45cdf12fe3a8", - "01718cec35cd3d796dd00020e0bfecb473ad23457d063b75eff29c0ffa2e58a9", - "036c13096926b3dfccfe3f233bd1b2f583b818b8b15c01be65af69238e900b2c" ]) - , ("Blake2b-384", HashAlg Blake2b_384, [ - "b32811423377f52d7862286ee1a72ee540524380fda1724a6f25d7978c6fd3244a6caf0498812673c5e05ef583825100", - "b7c81b228b6bd912930e8f0b5387989691c1cee1e65aade4da3b86a3c9f678fc8018f6ed9e2906720c8d2a3aeda9c03d", - "927a1f297873cbe887a93b2183c4e2eba53966ba92c6db8b87029a1d8c673471d09740676cced79c5016838973f630c3" ]) - , ("Blake2b-512", HashAlg Blake2b_512, [ - "786a02f742015903c6c6fd852552d272912f4740e15847618a86e217f71f5419d25e1031afee585313896444934eb04b903a685b1448b755d56f701afe9be2ce", - "a8add4bdddfd93e4877d2746e62817b116364a1fa7bc148d95090bc7333b3673f82401cf7aa2e4cb1ecd90296e3f14cb5413f8ed77be73045b13914cdcd6a918", - "af438eea5d8cdb209336a7e85bf58090dc21b49d823f89a7d064c119f127bd361af9c7d109edda0f0e91bdce078d1d86b8e6f25727c98f6d3bb6f50acb2dd376" ]) - , ("Blake2s-160", HashAlg Blake2s_160, [ - "354c9c33f735962418bdacb9479873429c34916f", - "5a604fec9713c369e84b0ed68daed7d7504ef240", - "759bef6d041bcbd861b8b51baaece6c8fffd0acf" ]) - , ("Blake2s-224", HashAlg Blake2s_224, [ - "1fa1291e65248b37b3433475b2a0dd63d54a11ecc4e3e034e7bc1ef4", - "e4e5cb6c7cae41982b397bf7b7d2d9d1949823ae78435326e8db4912", - "e220025fd46a9a635c3f7f60bb96a84c01019ac0817f5901e7eeaa2c" ]) - , ("Blake2s-256", HashAlg Blake2s_256, [ - "69217a3079908094e11121d042354a7c1f55b6482ca1a51e1b250dfd1ed0eef9", - "606beeec743ccbeff6cbcdf5d5302aa855c256c29b88c8ed331ea1a6bf3c8812", - "94662583a600a12dff357c0a6f1b514a710ef0f587a38e8d2e4d7f67e9c81667" ]) - , ("SHAKE128_4096", HashAlg (SHAKE128 :: SHAKE128 4096), [ - "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", - "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", - "22fd225fb8f2c8d0d2097e1f8d38b6a9e619d39664dad3795f0336fda544d305e1be56a9953ecd6e4bec14b622f53da492eccbe257b9af84775a6bdf81aab6b1ba3492149b7ce4ea402c56e343939f78b9a9727193269798420c9323a9eb1fa63006e1482fcf15e3696aa1ae5cb66eb8aad4ac6041ca0b576b78785ad95bc5fb6f8a420ba9e1726552c0f2b97050ae69fc018d3f63b3a812a2d39ef64b8ae368472dec4341511b02cf77363c74f216055d5905412bc2bf57b4010b1bdce2882cb28fc7e4d470ed05219fc4d1ce11d11e10db369c807cd71891653638956b2f9d176e116188aff2fbb8519d9ad8c3fb52fa8bb4a0413364e89d9f9d7db627f2a2288babedcc314a19e45c6b7fb93b16a15d9953ff619ab4d523c481552588f711b450f854c858ebcb8cf49492d6240a753bde2109c486cac666bdba767c6e9254cc723f67855534c34d08ed486c67c1b8dd288c6010ce8e6c1c9b7f927acf4d71ee99729cee55ecec544245d0b51b31dd78eb99c2723e8ba5cf92ac7720e8933d9fd3596b90073f6980c5ed3f1cbfada26bdb6946e72391198e3d1cedebdba092324500e32b8e04e32550f6dd6c4befafa95acc206c5708300d2a8df2765751102f9738a1449c4c0d588f0076d0c1a5ee445eb85c97ada5837d5dc1d34ea081c8411d64a4d9ce9279bfe9feb25696cf741c705ed46f171e2239216d6c45dc8d15" ]) - , ("SHAKE256_4096", HashAlg (SHAKE256 :: SHAKE256 4096), [ - "46b9dd2b0ba88d13233b3feb743eeb243fcd52ea62b81b82b50c27646ed5762fd75dc4ddd8c0f200cb05019d67b592f6fc821c49479ab48640292eacb3b7c4be141e96616fb13957692cc7edd0b45ae3dc07223c8e92937bef84bc0eab862853349ec75546f58fb7c2775c38462c5010d846c185c15111e595522a6bcd16cf86f3d122109e3b1fdd943b6aec468a2d621a7c06c6a957c62b54dafc3be87567d677231395f6147293b68ceab7a9e0c58d864e8efde4e1b9a46cbe854713672f5caaae314ed9083dab4b099f8e300f01b8650f1f4b1d8fcf3f3cb53fb8e9eb2ea203bdc970f50ae55428a91f7f53ac266b28419c3778a15fd248d339ede785fb7f5a1aaa96d313eacc890936c173cdcd0fab882c45755feb3aed96d477ff96390bf9a66d1368b208e21f7c10d04a3dbd4e360633e5db4b602601c14cea737db3dcf722632cc77851cbdde2aaf0a33a07b373445df490cc8fc1e4160ff118378f11f0477de055a81a9eda57a4a2cfb0c83929d310912f729ec6cfa36c6ac6a75837143045d791cc85eff5b21932f23861bcf23a52b5da67eaf7baae0f5fb1369db78f3ac45f8c4ac5671d85735cdddb09d2b1e34a1fc066ff4a162cb263d6541274ae2fcc865f618abe27c124cd8b074ccd516301b91875824d09958f341ef274bdab0bae316339894304e35877b0c28a9b1fd166c796b9cc258a064a8f57e27f2a", - "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", - "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" ]) - , ("Blake2b 160", HashAlg (Blake2b :: Blake2b 160), [ - "3345524abf6bbe1809449224b5972c41790b6cf2", - "3c523ed102ab45a37d54f5610d5a983162fde84f", - "a3d365b5fba5d36fbb19c03b7fde496058969c5a" ]) - , ("Blake2b 224", HashAlg (Blake2b :: Blake2b 224), [ - "836cc68931c2e4e3e838602eca1902591d216837bafddfe6f0c8cb07", - "477c3985751dd4d1b8c93827ea5310b33bb02a26463a050dffd3e857", - "a4a1b6851be66891a3deff406c4d7556879ebf952407450755f90eb6" ]) - , ("Blake2b 256", HashAlg (Blake2b :: Blake2b 256), [ - "0e5751c026e543b2e8ab2eb06099daa1d1e5df47778f7787faab45cdf12fe3a8", - "01718cec35cd3d796dd00020e0bfecb473ad23457d063b75eff29c0ffa2e58a9", - "036c13096926b3dfccfe3f233bd1b2f583b818b8b15c01be65af69238e900b2c" ]) - , ("Blake2b 384", HashAlg (Blake2b :: Blake2b 384), [ - "b32811423377f52d7862286ee1a72ee540524380fda1724a6f25d7978c6fd3244a6caf0498812673c5e05ef583825100", - "b7c81b228b6bd912930e8f0b5387989691c1cee1e65aade4da3b86a3c9f678fc8018f6ed9e2906720c8d2a3aeda9c03d", - "927a1f297873cbe887a93b2183c4e2eba53966ba92c6db8b87029a1d8c673471d09740676cced79c5016838973f630c3" ]) - , ("Blake2b 512", HashAlg (Blake2b :: Blake2b 512), [ - "786a02f742015903c6c6fd852552d272912f4740e15847618a86e217f71f5419d25e1031afee585313896444934eb04b903a685b1448b755d56f701afe9be2ce", - "a8add4bdddfd93e4877d2746e62817b116364a1fa7bc148d95090bc7333b3673f82401cf7aa2e4cb1ecd90296e3f14cb5413f8ed77be73045b13914cdcd6a918", - "af438eea5d8cdb209336a7e85bf58090dc21b49d823f89a7d064c119f127bd361af9c7d109edda0f0e91bdce078d1d86b8e6f25727c98f6d3bb6f50acb2dd376" ]) - , ("Blake2s 160", HashAlg (Blake2s :: Blake2s 160), [ - "354c9c33f735962418bdacb9479873429c34916f", - "5a604fec9713c369e84b0ed68daed7d7504ef240", - "759bef6d041bcbd861b8b51baaece6c8fffd0acf" ]) - , ("Blake2s 224", HashAlg (Blake2s :: Blake2s 224), [ - "1fa1291e65248b37b3433475b2a0dd63d54a11ecc4e3e034e7bc1ef4", - "e4e5cb6c7cae41982b397bf7b7d2d9d1949823ae78435326e8db4912", - "e220025fd46a9a635c3f7f60bb96a84c01019ac0817f5901e7eeaa2c" ]) - , ("Blake2s 256", HashAlg (Blake2s ::Blake2s 256), [ - "69217a3079908094e11121d042354a7c1f55b6482ca1a51e1b250dfd1ed0eef9", - "606beeec743ccbeff6cbcdf5d5302aa855c256c29b88c8ed331ea1a6bf3c8812", - "94662583a600a12dff357c0a6f1b514a710ef0f587a38e8d2e4d7f67e9c81667" ]) - ] - -runhash :: HashAlg -> ByteString -> ByteString -runhash (HashAlg hashAlg) v = B.convertToBase B.Base16 $ hashWith hashAlg $ v - -runhashinc :: HashAlg -> [ByteString] -> ByteString -runhashinc (HashAlg hashAlg) v = B.convertToBase B.Base16 $ hashinc $ v - where hashinc = hashFinalize . foldl hashUpdate (hashInitWith hashAlg) - -data HashPrefixAlg = forall alg . HashAlgorithmPrefix alg => HashPrefixAlg alg - -expectedPrefix :: [ (String, HashPrefixAlg) ] -expectedPrefix = - [ ("MD5", HashPrefixAlg MD5) - , ("SHA1", HashPrefixAlg SHA1) - , ("SHA224", HashPrefixAlg SHA224) - , ("SHA256", HashPrefixAlg SHA256) - , ("SHA384", HashPrefixAlg SHA384) - , ("SHA512", HashPrefixAlg SHA512) - ] - -runhashpfx :: HashPrefixAlg -> ByteString -> ByteString -runhashpfx (HashPrefixAlg hashAlg) v = B.convertToBase B.Base16 $ hashWith hashAlg v - -runhashpfxpfx :: HashPrefixAlg -> ByteString -> Int -> ByteString -runhashpfxpfx (HashPrefixAlg hashAlg) v len = B.convertToBase B.Base16 $ hashPrefixWith hashAlg v len - -makeTestAlg (name, hashAlg, results) = - testGroup name $ concatMap maketest (zip3 is vectors results) - where - is :: [Int] - is = [1..] - - maketest (i, v, r) = - [ testCase (show i) (r @=? runhash hashAlg v) - ] - -makeTestChunk (hashName, hashAlg, _) = - [ testProperty hashName $ \ckLen (ArbitraryBS0_2901 inp) -> - runhash hashAlg inp `propertyEq` runhashinc hashAlg (chunkS ckLen inp) - ] - -makeTestPrefix (hashName, hashAlg) = - [ testProperty hashName $ \(ArbitraryBS0_2901 inp) (Int0_2901 len) -> - runhashpfx hashAlg (B.take len inp) `propertyEq` runhashpfxpfx hashAlg inp len - ] - -makeTestHybrid (hashName, HashPrefixAlg alg) = - [ testProperty hashName $ \(ArbitraryBS0_2901 start) (ArbitraryBS0_2901 end) -> do - len <- choose (0, B.length end) - let ref = hashWith alg (start `B.append` B.take len end) - hyb = hashFinalizePrefix (hashUpdate (hashInitWith alg) start) end len - return (ref `propertyEq` hyb) - ] - --- SHAKE128 truncation example with expected byte at final position --- -shake128TruncationBytes = [0x01, 0x03, 0x07, 0x0f, 0x0f, 0x2f, 0x6f, 0x6f] - -makeTestSHAKE128Truncation i byte = - testCase (show i) $ xof 4088 `B.snoc` byte @=? xof (4088 + i) - where - hashEmpty :: KnownNat n => proxy n -> Digest (SHAKE128 n) - hashEmpty _ = hash B.empty - - xof n = case someNatVal n of - Nothing -> error ("invalid Nat: " ++ show n) - Just (SomeNat p) -> convert (hashEmpty p) - -tests = testGroup "hash" - [ testGroup "KATs" (map makeTestAlg expected) - , testGroup "Chunking" (concatMap makeTestChunk expected) - , testGroup "Prefix" (concatMap makeTestPrefix expectedPrefix) - , testGroup "Hybrid" (concatMap makeTestHybrid expectedPrefix) - , testGroup "Truncating" - [ testGroup "SHAKE128" - (zipWith makeTestSHAKE128Truncation [1..] shake128TruncationBytes) - ] - ] diff --git a/tests/HashSpec.hs b/tests/HashSpec.hs new file mode 100644 --- /dev/null +++ b/tests/HashSpec.hs @@ -0,0 +1,615 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE ExistentialQuantification #-} +{-# LANGUAGE OverloadedStrings #-} + +module HashSpec ( + spec, +) where + +import Crypto.Hash + +import Data.ByteArray (convert) +import qualified Data.ByteArray.Encoding as B (Base (..), convertToBase) +import qualified Data.ByteString as B +import GHC.TypeLits +import Imports + +v0, v1, v2 :: ByteString +v0 = "" +v1 = "The quick brown fox jumps over the lazy dog" +v2 = "The quick brown fox jumps over the lazy cog" +vectors = [v0, v1, v2] + +instance Arbitrary ByteString where + arbitrary = B.pack `fmap` arbitrary + +data HashAlg = forall alg. HashAlgorithm alg => HashAlg alg + +expected :: [(String, HashAlg, [ByteString])] +expected = + [ + ( "MD2" + , HashAlg MD2 + , + [ "8350e5a3e24c153df2275c9f80692773" + , "03d85a0d629d2c442e987525319fc471" + , "6b890c9292668cdbbfda00a4ebf31f05" + ] + ) + , + ( "MD4" + , HashAlg MD4 + , + [ "31d6cfe0d16ae931b73c59d7e0c089c0" + , "1bee69a46ba811185c194762abaeae90" + , "b86e130ce7028da59e672d56ad0113df" + ] + ) + , + ( "MD5" + , HashAlg MD5 + , + [ "d41d8cd98f00b204e9800998ecf8427e" + , "9e107d9d372bb6826bd81d3542a419d6" + , "1055d3e698d289f2af8663725127bd4b" + ] + ) + , + ( "SHA1" + , HashAlg SHA1 + , + [ "da39a3ee5e6b4b0d3255bfef95601890afd80709" + , "2fd4e1c67a2d28fced849ee1bb76e7391b93eb12" + , "de9f2c7fd25e1b3afad3e85a0bd17d9b100db4b3" + ] + ) + , + ( "SHA224" + , HashAlg SHA224 + , + [ "d14a028c2a3a2bc9476102bb288234c415a2b01f828ea62ac5b3e42f" + , "730e109bd7a8a32b1cb9d9a09aa2325d2430587ddbc0c38bad911525" + , "fee755f44a55f20fb3362cdc3c493615b3cb574ed95ce610ee5b1e9b" + ] + ) + , + ( "SHA256" + , HashAlg SHA256 + , + [ "e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855" + , "d7a8fbb307d7809469ca9abcb0082e4f8d5651e46d3cdb762d02d0bf37c9e592" + , "e4c4d8f3bf76b692de791a173e05321150f7a345b46484fe427f6acc7ecc81be" + ] + ) + , + ( "SHA384" + , HashAlg SHA384 + , + [ "38b060a751ac96384cd9327eb1b1e36a21fdb71114be07434c0cc7bf63f6e1da274edebfe76f65fbd51ad2f14898b95b" + , "ca737f1014a48f4c0b6dd43cb177b0afd9e5169367544c494011e3317dbf9a509cb1e5dc1e85a941bbee3d7f2afbc9b1" + , "098cea620b0978caa5f0befba6ddcf22764bea977e1c70b3483edfdf1de25f4b40d6cea3cadf00f809d422feb1f0161b" + ] + ) + , + ( "SHA512" + , HashAlg SHA512 + , + [ "cf83e1357eefb8bdf1542850d66d8007d620e4050b5715dc83f4a921d36ce9ce47d0d13c5d85f2b0ff8318d2877eec2f63b931bd47417a81a538327af927da3e" + , "07e547d9586f6a73f73fbac0435ed76951218fb7d0c8d788a309d785436bbb642e93a252a954f23912547d1e8a3b5ed6e1bfd7097821233fa0538f3db854fee6" + , "3eeee1d0e11733ef152a6c29503b3ae20c4f1f3cda4cb26f1bc1a41f91c7fe4ab3bd86494049e201c4bd5155f31ecb7a3c8606843c4cc8dfcab7da11c8ae5045" + ] + ) + , + ( "SHA512/224" + , HashAlg SHA512t_224 + , + [ "6ed0dd02806fa89e25de060c19d3ac86cabb87d6a0ddd05c333b84f4" + , "944cd2847fb54558d4775db0485a50003111c8e5daa63fe722c6aa37" + , "2b9d6565a7e40f780ba8ab7c8dcf41e3ed3b77997f4c55aa987eede5" + ] + ) + , + ( "SHA512/256" + , HashAlg SHA512t_256 + , + [ "c672b8d1ef56ed28ab87c3622c5114069bdd3ad7b8f9737498d0c01ecef0967a" + , "dd9d67b371519c339ed8dbd25af90e976a1eeefd4ad3d889005e532fc5bef04d" + , "cc8d255a7f2f38fd50388fd1f65ea7910835c5c1e73da46fba01ea50d5dd76fb" + ] + ) + , + ( "RIPEMD160" + , HashAlg RIPEMD160 + , + [ "9c1185a5c5e9fc54612808977ee8f548b2258d31" + , "37f332f68db77bd9d7edd4969571ad671cf9dd3b" + , "132072df690933835eb8b6ad0b77e7b6f14acad7" + ] + ) + , + ( "Tiger" + , HashAlg Tiger + , + [ "3293ac630c13f0245f92bbb1766e16167a4e58492dde73f3" + , "6d12a41e72e644f017b6f0e2f7b44c6285f06dd5d2c5b075" + , "a8f04b0f7201a0d728101c9d26525b31764a3493fcd8458f" + ] + ) + , + ( "Skein256-160" + , HashAlg (Skein256 :: Skein256 160) + , + [ "ff800bed6d2044ee9d604a674e3fda50d9b24a72" + , "3265703c166aa3e0d7da070b9cf1b1a5953f0a77" + , "17b29aa1424b3ec022505bd215ff73fd2e6d1e5a" + ] + ) + , + ( "Skein256-256" + , HashAlg Skein256_256 + , + [ "c8877087da56e072870daa843f176e9453115929094c3a40c463a196c29bf7ba" + , "c0fbd7d779b20f0a4614a66697f9e41859eaf382f14bf857e8cdb210adb9b3fe" + , "fb2f2f2deed0e1dd7ee2b91cee34e2d1c22072e1f5eaee288c35a0723eb653cd" + ] + ) + , + ( "Skein512-160" + , HashAlg (Skein512 :: Skein512 160) + , + [ "49daf1ccebb3544bc93cb5019ba91b0eea8876ee" + , "826325ee55a6dd18c3b2dbbc9c10420f5475975e" + , "7544ec7a35712ec953f02b0d0c86641cae4eb6e5" + ] + ) + , + ( "Skein512-384" + , HashAlg Skein512_384 + , + [ "dd5aaf4589dc227bd1eb7bc68771f5baeaa3586ef6c7680167a023ec8ce26980f06c4082c488b4ac9ef313f8cbe70808" + , "f814c107f3465e7c54048a5503547deddc377264f05c706b0d19db4847b354855ee52ab6a785c238c9e710d848542041" + , "e06520eeadc1d0a44fee1d2492547499c1e58526387c8b9c53905e5edb79f9840575cbf844e21b1ad1ea126dd8a8ca6f" + ] + ) + , + ( "Skein512-512" + , HashAlg Skein512_512 + , + [ "bc5b4c50925519c290cc634277ae3d6257212395cba733bbad37a4af0fa06af41fca7903d06564fea7a2d3730dbdb80c1f85562dfcc070334ea4d1d9e72cba7a" + , "94c2ae036dba8783d0b3f7d6cc111ff810702f5c77707999be7e1c9486ff238a7044de734293147359b4ac7e1d09cd247c351d69826b78dcddd951f0ef912713" + , "7f81113575e4b4d3441940e87aca331e6d63d103fe5107f29cd877af0d0f5e0ea34164258c60da5190189d0872e63a96596d2ef25e709099842da71d64111e0f" + ] + ) + , {- + , ("Skein512-896", HashAlg Skein512_896, [ + "b95175236c83a459ce7ec6c12b761a838b22d750e765b3fdaa892201b2aa714bc3d1d887dd64028bbf177c1dd11baa09c6c4ddb598fd07d6a8c131a09fc5b958e2999a8006754b25abe3bf8492b7eabec70e52e04e5ac867df2393c573f16eee3244554f1d2b724f2c0437c62007f770", + "3265708553e7d146e5c7bcbc97b3e9e9f5b53a5e4af53612bdd6454da4fa7b13d413184fe34ed57b6574be10e389d0ec4b1d2b1dd2c80e0257d5a76b2cd86a19a27b1bcb3cc24d911b5dc5ee74d19ad558fd85b5f024e99f56d1d3199f1f9f88ed85fab9f945f11cf9fc00e94e3ca4c7", + "3d23d3db9be719bbd2119f8402a28f38d8225faa79d5b68b80738c64a82004aafc7a840cd6dd9bced6644fa894a3d8d7d2ee89525fd1956a2db052c4c2f8d2111c91ef46b0997540d42bcf384826af1a5ef6510077f52d0574cf2b46f1b6a5dad07ed40f3d21a13ca2d079fa602ff02d" ]) + -} + + ( "Whirlpool" + , HashAlg Whirlpool + , + [ "19fa61d75522a4669b44e39c1d2e1726c530232130d407f89afee0964997f7a73e83be698b288febcf88e3e03c4f0757ea8964e59b63d93708b138cc42a66eb3" + , "b97de512e91e3828b40d2b0fdce9ceb3c4a71f9bea8d88e75c4fa854df36725fd2b52eb6544edcacd6f8beddfea403cb55ae31f03ad62a5ef54e42ee82c3fb35" + , "dce81fc695cfea3d7e1446509238daf89f24cc61896f2d265927daa70f2108f8902f0dfd68be085d5abb9fcd2e482c1dc24f2fabf81f40b73495cad44d7360d3" + ] + ) + , + ( "Keccak-224" + , HashAlg Keccak_224 + , + [ "f71837502ba8e10837bdd8d365adb85591895602fc552b48b7390abd" + , "310aee6b30c47350576ac2873fa89fd190cdc488442f3ef654cf23fe" + , "0b27ff3b732133287f6831e2af47cf342b7ef1f3fcdee248811090cd" + ] + ) + , + ( "Keccak-256" + , HashAlg Keccak_256 + , + [ "c5d2460186f7233c927e7db2dcc703c0e500b653ca82273b7bfad8045d85a470" + , "4d741b6f1eb29cb2a9b9911c82f56fa8d73b04959d3d9d222895df6c0b28aa15" + , "ed6c07f044d7573cc53bf1276f8cba3dac497919597a45b4599c8f73e22aa334" + ] + ) + , + ( "Keccak-384" + , HashAlg Keccak_384 + , + [ "2c23146a63a29acf99e73b88f8c24eaa7dc60aa771780ccc006afbfa8fe2479b2dd2b21362337441ac12b515911957ff" + , "283990fa9d5fb731d786c5bbee94ea4db4910f18c62c03d173fc0a5e494422e8a0b3da7574dae7fa0baf005e504063b3" + , "1cc515e1812491058d8b8b226fd85045e746b4937a58b0111b6b7a39dd431b6295bd6b6d05e01e225586b4dab3cbb87a" + ] + ) + , + ( "Keccak-512" + , HashAlg Keccak_512 + , + [ "0eab42de4c3ceb9235fc91acffe746b29c29a8c366b7c60e4e67c466f36a4304c00fa9caf9d87976ba469bcbe06713b435f091ef2769fb160cdab33d3670680e" + , "d135bb84d0439dbac432247ee573a23ea7d3c9deb2a968eb31d47c4fb45f1ef4422d6c531b5b9bd6f449ebcc449ea94d0a8f05f62130fda612da53c79659f609" + , "10f8caabb5b179861da5e447d34b84d604e3eb81830880e1c2135ffc94580a47cb21f6243ec0053d58b1124d13af2090033659075ee718e0f111bb3f69fb24cf" + ] + ) + , + ( "SHA3-224" + , HashAlg SHA3_224 + , + [ "6b4e03423667dbb73b6e15454f0eb1abd4597f9a1b078e3f5b5a6bc7" + , "d15dadceaa4d5d7bb3b48f446421d542e08ad8887305e28d58335795" + , "b770eb6ac3ac52bd2f9e8dc186d6b604e7c3b7ffc8bd9220b0078ced" + ] + ) + , + ( "SHA3-256" + , HashAlg SHA3_256 + , + [ "a7ffc6f8bf1ed76651c14756a061d662f580ff4de43b49fa82d80a4b80f8434a" + , "69070dda01975c8c120c3aada1b282394e7f032fa9cf32f4cb2259a0897dfc04" + , "cc80b0b13ba89613d93f02ee7ccbe72ee26c6edfe577f22e63a1380221caedbc" + ] + ) + , + ( "SHA3-384" + , HashAlg SHA3_384 + , + [ "0c63a75b845e4f7d01107d852e4c2485c51a50aaaa94fc61995e71bbee983a2ac3713831264adb47fb6bd1e058d5f004" + , "7063465e08a93bce31cd89d2e3ca8f602498696e253592ed26f07bf7e703cf328581e1471a7ba7ab119b1a9ebdf8be41" + , "e414797403c7d01ab64b41e90df4165d59b7f147e4292ba2da336acba242fd651949eb1cfff7e9012e134b40981842e1" + ] + ) + , + ( "SHA3-512" + , HashAlg SHA3_512 + , + [ "a69f73cca23a9ac5c8b567dc185a756e97c982164fe25859e0d1dcc1475c80a615b2123af1f5f94c11e3e9402c3ac558f500199d95b6d3e301758586281dcd26" + , "01dedd5de4ef14642445ba5f5b97c15e47b9ad931326e4b0727cd94cefc44fff23f07bf543139939b49128caf436dc1bdee54fcb24023a08d9403f9b4bf0d450" + , "28e361fe8c56e617caa56c28c7c36e5c13be552b77081be82b642f08bb7ef085b9a81910fe98269386b9aacfd2349076c9506126e198f6f6ad44c12017ca77b1" + ] + ) + , + ( "Blake2b-160" + , HashAlg Blake2b_160 + , + [ "3345524abf6bbe1809449224b5972c41790b6cf2" + , "3c523ed102ab45a37d54f5610d5a983162fde84f" + , "a3d365b5fba5d36fbb19c03b7fde496058969c5a" + ] + ) + , + ( "Blake2b-224" + , HashAlg Blake2b_224 + , + [ "836cc68931c2e4e3e838602eca1902591d216837bafddfe6f0c8cb07" + , "477c3985751dd4d1b8c93827ea5310b33bb02a26463a050dffd3e857" + , "a4a1b6851be66891a3deff406c4d7556879ebf952407450755f90eb6" + ] + ) + , + ( "Blake2b-256" + , HashAlg Blake2b_256 + , + [ "0e5751c026e543b2e8ab2eb06099daa1d1e5df47778f7787faab45cdf12fe3a8" + , "01718cec35cd3d796dd00020e0bfecb473ad23457d063b75eff29c0ffa2e58a9" + , "036c13096926b3dfccfe3f233bd1b2f583b818b8b15c01be65af69238e900b2c" + ] + ) + , + ( "Blake2b-384" + , HashAlg Blake2b_384 + , + [ "b32811423377f52d7862286ee1a72ee540524380fda1724a6f25d7978c6fd3244a6caf0498812673c5e05ef583825100" + , "b7c81b228b6bd912930e8f0b5387989691c1cee1e65aade4da3b86a3c9f678fc8018f6ed9e2906720c8d2a3aeda9c03d" + , "927a1f297873cbe887a93b2183c4e2eba53966ba92c6db8b87029a1d8c673471d09740676cced79c5016838973f630c3" + ] + ) + , + ( "Blake2b-512" + , HashAlg Blake2b_512 + , + [ "786a02f742015903c6c6fd852552d272912f4740e15847618a86e217f71f5419d25e1031afee585313896444934eb04b903a685b1448b755d56f701afe9be2ce" + , "a8add4bdddfd93e4877d2746e62817b116364a1fa7bc148d95090bc7333b3673f82401cf7aa2e4cb1ecd90296e3f14cb5413f8ed77be73045b13914cdcd6a918" + , "af438eea5d8cdb209336a7e85bf58090dc21b49d823f89a7d064c119f127bd361af9c7d109edda0f0e91bdce078d1d86b8e6f25727c98f6d3bb6f50acb2dd376" + ] + ) + , + ( "Blake2s-160" + , HashAlg Blake2s_160 + , + [ "354c9c33f735962418bdacb9479873429c34916f" + , "5a604fec9713c369e84b0ed68daed7d7504ef240" + , "759bef6d041bcbd861b8b51baaece6c8fffd0acf" + ] + ) + , + ( "Blake2s-224" + , HashAlg Blake2s_224 + , + [ "1fa1291e65248b37b3433475b2a0dd63d54a11ecc4e3e034e7bc1ef4" + , "e4e5cb6c7cae41982b397bf7b7d2d9d1949823ae78435326e8db4912" + , "e220025fd46a9a635c3f7f60bb96a84c01019ac0817f5901e7eeaa2c" + ] + ) + , + ( "Blake2s-256" + , HashAlg Blake2s_256 + , + [ "69217a3079908094e11121d042354a7c1f55b6482ca1a51e1b250dfd1ed0eef9" + , "606beeec743ccbeff6cbcdf5d5302aa855c256c29b88c8ed331ea1a6bf3c8812" + , "94662583a600a12dff357c0a6f1b514a710ef0f587a38e8d2e4d7f67e9c81667" + ] + ) + , + ( "SHAKE128_4096" + , HashAlg (SHAKE128 :: SHAKE128 4096) + , + [ "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" + , "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" + , "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" + ] + ) + , + ( "SHAKE256_4096" + , HashAlg (SHAKE256 :: SHAKE256 4096) + , + [ "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" + , "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" + , "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" + ] + ) + , + ( "Blake2b 160" + , HashAlg (Blake2b :: Blake2b 160) + , + [ "3345524abf6bbe1809449224b5972c41790b6cf2" + , "3c523ed102ab45a37d54f5610d5a983162fde84f" + , "a3d365b5fba5d36fbb19c03b7fde496058969c5a" + ] + ) + , + ( "Blake2b 224" + , HashAlg (Blake2b :: Blake2b 224) + , + [ "836cc68931c2e4e3e838602eca1902591d216837bafddfe6f0c8cb07" + , "477c3985751dd4d1b8c93827ea5310b33bb02a26463a050dffd3e857" + , "a4a1b6851be66891a3deff406c4d7556879ebf952407450755f90eb6" + ] + ) + , + ( "Blake2b 256" + , HashAlg (Blake2b :: Blake2b 256) + , + [ "0e5751c026e543b2e8ab2eb06099daa1d1e5df47778f7787faab45cdf12fe3a8" + , "01718cec35cd3d796dd00020e0bfecb473ad23457d063b75eff29c0ffa2e58a9" + , "036c13096926b3dfccfe3f233bd1b2f583b818b8b15c01be65af69238e900b2c" + ] + ) + , + ( "Blake2b 384" + , HashAlg (Blake2b :: Blake2b 384) + , + [ "b32811423377f52d7862286ee1a72ee540524380fda1724a6f25d7978c6fd3244a6caf0498812673c5e05ef583825100" + , "b7c81b228b6bd912930e8f0b5387989691c1cee1e65aade4da3b86a3c9f678fc8018f6ed9e2906720c8d2a3aeda9c03d" + , "927a1f297873cbe887a93b2183c4e2eba53966ba92c6db8b87029a1d8c673471d09740676cced79c5016838973f630c3" + ] + ) + , + ( "Blake2b 512" + , HashAlg (Blake2b :: Blake2b 512) + , + [ "786a02f742015903c6c6fd852552d272912f4740e15847618a86e217f71f5419d25e1031afee585313896444934eb04b903a685b1448b755d56f701afe9be2ce" + , "a8add4bdddfd93e4877d2746e62817b116364a1fa7bc148d95090bc7333b3673f82401cf7aa2e4cb1ecd90296e3f14cb5413f8ed77be73045b13914cdcd6a918" + , "af438eea5d8cdb209336a7e85bf58090dc21b49d823f89a7d064c119f127bd361af9c7d109edda0f0e91bdce078d1d86b8e6f25727c98f6d3bb6f50acb2dd376" + ] + ) + , + ( "Blake2s 160" + , HashAlg (Blake2s :: Blake2s 160) + , + [ "354c9c33f735962418bdacb9479873429c34916f" + , "5a604fec9713c369e84b0ed68daed7d7504ef240" + , "759bef6d041bcbd861b8b51baaece6c8fffd0acf" + ] + ) + , + ( "Blake2s 224" + , HashAlg (Blake2s :: Blake2s 224) + , + [ "1fa1291e65248b37b3433475b2a0dd63d54a11ecc4e3e034e7bc1ef4" + , "e4e5cb6c7cae41982b397bf7b7d2d9d1949823ae78435326e8db4912" + , "e220025fd46a9a635c3f7f60bb96a84c01019ac0817f5901e7eeaa2c" + ] + ) + , + ( "Blake2s 256" + , HashAlg (Blake2s :: Blake2s 256) + , + [ "69217a3079908094e11121d042354a7c1f55b6482ca1a51e1b250dfd1ed0eef9" + , "606beeec743ccbeff6cbcdf5d5302aa855c256c29b88c8ed331ea1a6bf3c8812" + , "94662583a600a12dff357c0a6f1b514a710ef0f587a38e8d2e4d7f67e9c81667" + ] + ) + ] + +runhash :: HashAlg -> ByteString -> ByteString +runhash (HashAlg hashAlg) v = B.convertToBase B.Base16 $ hashWith hashAlg $ v + +runhashinc :: HashAlg -> [ByteString] -> ByteString +runhashinc (HashAlg hashAlg) v = B.convertToBase B.Base16 $ hashinc $ v + where + hashinc = hashFinalize . foldl hashUpdate (hashInitWith hashAlg) + +-- | Messages that take more than one block, which none of the vectors above +-- do: the longest of them is 43 bytes and a block is 64, so a compression +-- function that is wrong only in how one block carries into the next -- which +-- is what the paths written for a processor's hashing instructions can get +-- wrong -- passes every KAT above. Two of these cross a block boundary and +-- the third is the million letters FIPS 180-4 uses; the digests are what +-- FIPS 180-4 and openssl give. +longVectors :: [ByteString] +longVectors = + [ "abcdbcdecdefdefgefghfghighijhijkijkljklmklmnlmnomnopnopq" + , "abcdefghbcdefghicdefghijdefghijkefghijklfghijklmghijklmnhijklmno" + , B.replicate 1000000 0x61 + ] + +expectedLong :: [(String, HashAlg, [ByteString])] +expectedLong = + [ + ( "MD5" + , HashAlg MD5 + , + [ "8215ef0796a20bcaaae116d3876c664a" + , "2782e38354c31d1b1d6dfb6f4ccb2d2e" + , "7707d6ae4e027c70eea2a935c2296f21" + ] + ) + , + ( "SHA1" + , HashAlg SHA1 + , + [ "84983e441c3bd26ebaae4aa1f95129e5e54670f1" + , "b85d6468bd3a73794bceaf812239cc1fe460ab95" + , "34aa973cd4c4daa4f61eeb2bdbad27316534016f" + ] + ) + , + ( "SHA224" + , HashAlg SHA224 + , + [ "75388b16512776cc5dba5da1fd890150b0c6455cb4f58b1952522525" + , "4176f330539b0ed8b0b6b5dea7c8e47a18fc4daf3f53920355b0926a" + , "20794655980c91d8bbb4c1ea97618a4bf03f42581948b2ee4ee7ad67" + ] + ) + , + ( "SHA256" + , HashAlg SHA256 + , + [ "248d6a61d20638b8e5c026930c3e6039a33ce45964ff2167f6ecedd419db06c1" + , "2ff100b36c386c65a1afc462ad53e25479bec9498ed00aa5a04de584bc25301b" + , "cdc76e5c9914fb9281a1c7e284d73e67f1809a48a497200e046d39ccc7112cd0" + ] + ) + , + ( "SHA384" + , HashAlg SHA384 + , + [ "3391fdddfc8dc7393707a65b1b4709397cf8b1d162af05abfe8f450de5f36bc6b0455a8520bc4e6f5fe95b1fe3c8452b" + , "bdc0f4a6e0d7de88f374e6c2562441d856aeabed3f52553103f55eca811f64b422c7cb47a8067f123e45c1a8ee303635" + , "9d0e1809716474cb086e834e310a4a1ced149e9c00f248527972cec5704c2a5b07b8b3dc38ecc4ebae97ddd87f3d8985" + ] + ) + , + ( "SHA512" + , HashAlg SHA512 + , + [ "204a8fc6dda82f0a0ced7beb8e08a41657c16ef468b228a8279be331a703c33596fd15c13b1b07f9aa1d3bea57789ca031ad85c7a71dd70354ec631238ca3445" + , "90d1bdb9a6cbf9cb0d4a7f185ee0870456f440b81f13f514f4561a08112763523033245875b68209bb1f5d5215bac81e0d69f77374cc44d1be30f58c8b615141" + , "e718483d0ce769644e2e42c7bc15b4638e1f98b13b2044285632a803afa973ebde0ff244877ea60a4cb0432ce577c31beb009c5c2c49aa2e4eadb217ad8cc09b" + ] + ) + ] + +data HashPrefixAlg = forall alg. HashAlgorithmPrefix alg => HashPrefixAlg alg + +expectedPrefix :: [(String, HashPrefixAlg)] +expectedPrefix = + [ ("MD5", HashPrefixAlg MD5) + , ("SHA1", HashPrefixAlg SHA1) + , ("SHA224", HashPrefixAlg SHA224) + , ("SHA256", HashPrefixAlg SHA256) + , ("SHA384", HashPrefixAlg SHA384) + , ("SHA512", HashPrefixAlg SHA512) + ] + +runhashpfx :: HashPrefixAlg -> ByteString -> ByteString +runhashpfx (HashPrefixAlg hashAlg) v = B.convertToBase B.Base16 $ hashWith hashAlg v + +runhashpfxpfx :: HashPrefixAlg -> ByteString -> Int -> ByteString +runhashpfxpfx (HashPrefixAlg hashAlg) v len = B.convertToBase B.Base16 $ hashPrefixWith hashAlg v len + +makeTestAlg = makeTestAlgWith vectors + +makeTestAlgWith vs (name, hashAlg, results) = + describe name $ mapM_ maketest (zip3 is vs results) + where + is :: [Int] + is = [1 ..] + + maketest (i, v, r) = do + it (show i) (runhash hashAlg v `shouldBe` r) + +makeTestChunk (hashName, hashAlg, _) = do + prop hashName $ \ckLen (ArbitraryBS0_2901 inp) -> + runhash hashAlg inp `propertyEq` runhashinc hashAlg (chunkS ckLen inp) + +makeTestPrefix (hashName, hashAlg) = do + prop hashName $ \(ArbitraryBS0_2901 inp) (Int0_2901 len) -> + runhashpfx hashAlg (B.take len inp) `propertyEq` runhashpfxpfx hashAlg inp len + +makeTestHybrid (hashName, HashPrefixAlg alg) = do + prop hashName $ \(ArbitraryBS0_2901 start) (ArbitraryBS0_2901 end) -> do + len <- choose (0, B.length end) + let ref = hashWith alg (start `B.append` B.take len end) + hyb = hashFinalizePrefix (hashUpdate (hashInitWith alg) start) end len + return (ref `propertyEq` hyb) + +-- SHAKE128 truncation example with expected byte at final position +-- +shake128TruncationBytes = [0x01, 0x03, 0x07, 0x0f, 0x0f, 0x2f, 0x6f, 0x6f] + +makeTestSHAKE128Truncation i byte = + it (show i) $ xof (4088 + i) `shouldBe` xof 4088 `B.snoc` byte + where + hashEmpty :: KnownNat n => proxy n -> Digest (SHAKE128 n) + hashEmpty _ = hash B.empty + + xof n = case someNatVal n of + Nothing -> error ("invalid Nat: " ++ show n) + Just (SomeNat p) -> convert (hashEmpty p) + +-- | The Skein types with the size in their name and the ones that take it as +-- a type parameter are the same function, and the parameter also takes the +-- sizes that have no name of their own. +skeinNatTests :: Spec +skeinNatTests = describe "Skein with the digest size as a type parameter" $ do + describe "agrees with the type of that name" $ do + it "Skein256 224" $ same (Skein256 :: Skein256 224) Skein256_224 + it "Skein256 256" $ same (Skein256 :: Skein256 256) Skein256_256 + it "Skein512 224" $ same (Skein512 :: Skein512 224) Skein512_224 + it "Skein512 256" $ same (Skein512 :: Skein512 256) Skein512_256 + it "Skein512 384" $ same (Skein512 :: Skein512 384) Skein512_384 + it "Skein512 512" $ same (Skein512 :: Skein512 512) Skein512_512 + describe "takes a size no named type offers" $ do + it "8 bits" $ len (Skein512 :: Skein512 8) `shouldBe` 1 + it "1024 bits" $ len (Skein512 :: Skein512 1024) `shouldBe` 128 + it "8192 bits" $ len (Skein512 :: Skein512 8192) `shouldBe` 1024 + it "rounds a size that is not a whole number of bytes up" $ do + len (Skein512 :: Skein512 100) `shouldBe` 13 + len (Skein256 :: Skein256 1) `shouldBe` 1 + -- the length goes into the configuration block, so it changes the chaining + -- value the message is hashed from: a longer digest is not an extension of + -- a shorter one, which is the opposite of how SHAKE behaves + it "answers a different size with an unrelated digest, not a longer one" $ do + let short = convert (hashWith (Skein512 :: Skein512 256) v1) :: ByteString + long = convert (hashWith (Skein512 :: Skein512 512) v1) :: ByteString + B.take (B.length short) long `shouldNotBe` short + where + same a b = map (h a) vectors `shouldBe` map (h b) vectors + h alg m = convert (hashWith alg m) :: ByteString + len alg = B.length (convert (hashWith alg v1) :: ByteString) + +spec :: Spec +spec = do + describe "KATs" $ mapM_ makeTestAlg expected + skeinNatTests + describe "KATs over several blocks" $ + mapM_ (makeTestAlgWith longVectors) expectedLong + describe "Chunking" $ mapM_ makeTestChunk expected + describe "Prefix" $ mapM_ makeTestPrefix expectedPrefix + describe "Hybrid" $ mapM_ makeTestHybrid expectedPrefix + describe "Truncating" $ do + describe "SHAKE128" $ + sequence_ $ + (zipWith makeTestSHAKE128Truncation [1 ..] shake128TruncationBytes) diff --git a/tests/Imports.hs b/tests/Imports.hs --- a/tests/Imports.hs +++ b/tests/Imports.hs @@ -1,22 +1,35 @@ -module Imports - ( +module Imports ( -- * Individual Types - Word16, Word32, Word64 - , ByteString + Word16, + Word32, + Word64, + ByteString, + + -- * Test vectors + firstVector, + -- * Modules - , module X - ) where + module X, +) where -import Data.Word (Word16, Word32, Word64) import Data.ByteString (ByteString) +import Data.Word (Word16, Word32, Word64) import Control.Applicative as X import Control.Monad as X +import Data.ByteString.Char8 as X () import Data.Foldable as X (foldl') import Data.Monoid as X -import Data.ByteString.Char8 as X () -import Test.Tasty as X -import Test.Tasty.HUnit as X -import Test.Tasty.QuickCheck as X hiding (vector) +import Test.Hspec as X +import Test.Hspec.QuickCheck as X (modifyMaxSuccess, prop) +import Test.QuickCheck as X hiding (vector) import Utils as X + +-- | The first of a list of test vectors. The lists these are taken from are +-- literals in the modules that hold them and are never empty, so this says so +-- once, with a name and a message, rather than leaving a partial 'head' at +-- every use. +firstVector :: [a] -> a +firstVector (v : _) = v +firstVector [] = error "firstVector: the vector list is empty" diff --git a/tests/KAT_AES.hs b/tests/KAT_AES.hs deleted file mode 100644 --- a/tests/KAT_AES.hs +++ /dev/null @@ -1,98 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_AES (tests) where - -import Imports -import BlockCipher -import Data.Maybe -import Crypto.Cipher.Types -import qualified Crypto.Cipher.AES as AES -import qualified Data.ByteString as B - -import qualified KAT_AES.KATECB as KATECB -import qualified KAT_AES.KATCBC as KATCBC -import qualified KAT_AES.KATXTS as KATXTS -import qualified KAT_AES.KATGCM as KATGCM -import qualified KAT_AES.KATCCM as KATCCM -import qualified KAT_AES.KATOCB3 as KATOCB3 - -{- -instance Show AES.AES where - show _ = "AES" -instance Arbitrary AES.AESIV where - arbitrary = AES.aesIV_ . B.pack <$> replicateM 16 arbitrary -instance Arbitrary AES.AES where - arbitrary = AES.initAES . B.pack <$> replicateM 16 arbitrary --} - -toKatECB (k,p,c) = KAT_ECB { ecbKey = k, ecbPlaintext = p, ecbCiphertext = c } -toKatCBC (k,iv,p,c) = KAT_CBC { cbcKey = k, cbcIV = iv, cbcPlaintext = p, cbcCiphertext = c } -toKatXTS (k1,k2,iv,p,_,c) = KAT_XTS { xtsKey1 = k1, xtsKey2 = k2, xtsIV = iv, xtsPlaintext = p, xtsCiphertext = c } -toKatAEAD mode (k,iv,h,p,c,taglen,tag) = - KAT_AEAD { aeadMode = mode - , aeadKey = k - , aeadIV = iv - , aeadHeader = h - , aeadPlaintext = p - , aeadCiphertext = c - , aeadTaglen = taglen - , aeadTag = tag - } -toKatGCM = toKatAEAD AEAD_GCM -toKatOCB = toKatAEAD AEAD_OCB - -toKatCCM (k,iv,h,i,o,m) = - KAT_AEAD { aeadMode = AEAD_CCM (B.length i) (ccmMVal m) CCM_L2 - , aeadKey = k - , aeadIV = iv - , aeadHeader = h - , aeadPlaintext = i - , aeadCiphertext = ct - , aeadTaglen = m - , aeadTag = at - } - where ccmMVal x = fromMaybe (error $ "unsupported CCM tag length: " ++ show x) $ - lookup x [ (4, CCM_M4), (6, CCM_M6), (8, CCM_M8), (10, CCM_M10) - , (12, CCM_M12), (14, CCM_M14), (16, CCM_M16) - ] - ctWithTag = B.drop (B.length h) o - (ct, at) = B.splitAt (B.length ctWithTag - m) ctWithTag - -kats128 = defaultKATs - { kat_ECB = map toKatECB KATECB.vectors_aes128_enc - , kat_CBC = map toKatCBC KATCBC.vectors_aes128_enc - , kat_CFB = [ KAT_CFB { cfbKey = "\x2b\x7e\x15\x16\x28\xae\xd2\xa6\xab\xf7\x15\x88\x09\xcf\x4f\x3c" - , cfbIV = "\xC8\xA6\x45\x37\xA0\xB3\xA9\x3F\xCD\xE3\xCD\xAD\x9F\x1C\xE5\x8B" - , cfbPlaintext = "\x30\xc8\x1c\x46\xa3\x5c\xe4\x11\xe5\xfb\xc1\x19\x1a\x0a\x52\xef" - , cfbCiphertext = "\x26\x75\x1f\x67\xa3\xcb\xb1\x40\xb1\x80\x8c\xf1\x87\xa4\xf4\xdf" - } - ] - , kat_XTS = map toKatXTS KATXTS.vectors_aes128_enc - , kat_AEAD = map toKatGCM KATGCM.vectors_aes128_enc ++ - map toKatOCB KATOCB3.vectors_aes128_enc ++ - map toKatCCM KATCCM.vectors_aes128_enc - } - -kats192 = defaultKATs - { kat_ECB = map toKatECB KATECB.vectors_aes192_enc - , kat_CBC = map toKatCBC KATCBC.vectors_aes192_enc - } - -kats256 = defaultKATs - { kat_ECB = map toKatECB KATECB.vectors_aes256_enc - , kat_CBC = map toKatCBC KATCBC.vectors_aes256_enc - , kat_XTS = map toKatXTS KATXTS.vectors_aes256_enc - , kat_AEAD = map toKatGCM KATGCM.vectors_aes256_enc - } - -tests = testGroup "AES" - [ testBlockCipher kats128 (undefined :: AES.AES128) - , testBlockCipher kats192 (undefined :: AES.AES192) - , testBlockCipher kats256 (undefined :: AES.AES256) -{- - , testProperty "genCtr" $ \(key, iv1) -> - let (bs1, iv2) = AES.genCounter key iv1 32 - (bs2, iv3) = AES.genCounter key iv2 32 - (bsAll, iv3') = AES.genCounter key iv1 64 - in (B.concat [bs1,bs2] == bsAll && iv3 == iv3') --} - ] diff --git a/tests/KAT_AES/KATCBC.hs b/tests/KAT_AES/KATCBC.hs deleted file mode 100644 --- a/tests/KAT_AES/KATCBC.hs +++ /dev/null @@ -1,107 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_AES.KATCBC where - -import qualified Data.ByteString as B -import Data.ByteString.Char8 () - -type KATCBC = (B.ByteString, B.ByteString, B.ByteString, B.ByteString) - -vectors_aes128_enc, vectors_aes128_dec - , vectors_aes192_enc, vectors_aes192_dec - , vectors_aes256_enc, vectors_aes256_dec :: [KATCBC] -vectors_aes128_enc = - [ - ("\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x66\xe9\x4b\xd4\xef\x8a\x2c\x3b\x88\x4c\xfa\x59\xca\x34\x2b\x2e") - , ("\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\xb6\xae\xaf\xfa\x75\x2d\xc0\x8b\x51\x63\x97\x31\x76\x1a\xed\x00") - , ("\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\xcb\x64\xcf\x3f\x42\x2a\xe8\x4b\xb9\x0e\x3a\xb4\xdb\xa7\xbd\x86") - , ("\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\xe5\xb5\x07\x7f\x93\x46\x46\x2c\x62\xa0\x75\xc0\xc7\x08\xee\x96") - , ("\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\xe1\x4d\x5d\x0e\xe2\x77\x15\xdf\x08\xb4\x15\x2b\xa2\x3d\xa8\xe0") - , ("\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x5e\x77\xe5\x9f\x8f\x85\x94\x34\x89\xa2\x41\x49\xc7\x5f\x4e\xc9") - , ("\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x8f\x42\xc2\x4b\xee\x6e\x63\x47\x2b\x16\x5a\xa9\x41\x31\x2f\x7c") - , ("\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\xb0\xea\x4a\xc0\xd2\x5c\xcd\x7c\x82\xcb\x8a\x30\x68\xc6\xfe\x2e") - , ("\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\xe1\x4d\x5d\x0e\xe2\x77\x15\xdf\x08\xb4\x15\x2b\xa2\x3d\xa8\xe0") - , ("\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x17\xd6\x14\xf3\x79\xa9\x35\x90\x77\xe9\x55\x77\xfd\x31\xc2\x0a") - , ("\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x8f\x42\xc2\x4b\xee\x6e\x63\x47\x2b\x16\x5a\xa9\x41\x31\x2f\x7c") - , ("\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\xe5\xb5\x07\x7f\x93\x46\x46\x2c\x62\xa0\x75\xc0\xc7\x08\xee\x96") - ] - -vectors_aes192_enc = - [ - ("\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\xaa\xe0\x69\x92\xac\xbf\x52\xa3\xe8\xf4\xa9\x6e\xc9\x30\x0b\xd7") - , ("\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x5f\x88\xef\x3f\xbd\xeb\xf2\xe4\xe2\x66\x65\x12\xd3\xbc\xb7\x0f") - , ("\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\xdb\x42\xf5\x1c\xd2\x0e\xca\xd2\x9e\xb0\x13\x2b\x0f\xaa\x4b\x85") - , ("\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\xda\xb4\x01\x5f\x98\x70\x25\xeb\xb8\xa8\x5f\x3c\x7f\x73\x70\x19") - , ("\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\xcf\x1e\xce\x3c\x44\xb0\x78\xfb\x27\xcb\x0a\x3e\x07\x1b\x08\x20") - , ("\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x98\xb8\x95\xa1\x45\xca\x4e\x0b\xf8\x3e\x69\x32\x81\xc1\xa0\x97") - , ("\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\xf2\xf0\xae\xd8\xcd\xc9\x21\xca\x4b\x55\x84\x5d\xa4\x15\x21\xc2") - , ("\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x5e\xea\x4b\x13\xdd\xd9\x17\x12\xb0\x14\xe2\x82\x2d\x18\x76\xfb") - , ("\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\xcf\x1e\xce\x3c\x44\xb0\x78\xfb\x27\xcb\x0a\x3e\x07\x1b\x08\x20") - , ("\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\xeb\x8c\x17\x30\x90\xc7\x5b\x77\xd6\x72\xb4\x57\xa7\x78\xd9\xd0") - , ("\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\xf2\xf0\xae\xd8\xcd\xc9\x21\xca\x4b\x55\x84\x5d\xa4\x15\x21\xc2") - , ("\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\xda\xb4\x01\x5f\x98\x70\x25\xeb\xb8\xa8\x5f\x3c\x7f\x73\x70\x19") - - ] - -vectors_aes256_enc = - [ - ("\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\xdc\x95\xc0\x78\xa2\x40\x89\x89\xad\x48\xa2\x14\x92\x84\x20\x87") - , ("\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x72\x98\xca\xa5\x65\x03\x1e\xad\xc6\xce\x23\xd2\x3e\xa6\x63\x78") - , ("\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\xf4\x35\xa1\x11\xa3\xe4\xa1\x94\x49\x19\xf9\x12\xc5\xa2\x41\xde") - , ("\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x91\xc0\x87\x62\x87\x6d\xcc\xf9\xba\x20\x4a\x33\x76\x8f\xa5\xfe") - , ("\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x7b\xc3\x02\x6c\xd7\x37\x10\x3e\x62\x90\x2b\xcd\x18\xfb\x01\x63") - , ("\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x9c\xac\x94\xc6\xb4\x85\x61\xf8\xff\xaa\xa7\x86\x16\xba\x48\x92") - , ("\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\xf9\xc7\x44\x4b\xb0\xcc\x80\x6c\x7c\x39\xee\x22\x11\xf1\x46") - , ("\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x6d\xed\xd0\xa3\xe6\x94\xa0\xde\x65\x1d\x68\xa6\xb5\x5a\x64\xa2") - , ("\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x7b\xc3\x02\x6c\xd7\x37\x10\x3e\x62\x90\x2b\xcd\x18\xfb\x01\x63") - , ("\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x62\xae\x12\xf3\x24\xbf\xea\x08\xd5\xf6\x75\xb5\x13\x02\x6b\xbf") - , ("\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x00\xf9\xc7\x44\x4b\xb0\xcc\x80\x6c\x7c\x39\xee\x22\x11\xf1\x46") - , ("\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x91\xc0\x87\x62\x87\x6d\xcc\xf9\xba\x20\x4a\x33\x76\x8f\xa5\xfe") - ] - -vectors_aes128_dec = - [ - ("\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x14\x0f\x0f\x10\x11\xb5\x22\x3d\x79\x58\x77\x17\xff\xd9\xec\x3a") - , ("\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x33\x08\x32\x40\xd6\x5c\xbc\x72\xaa\x0b\x44\xf3\xe1\x9e\xa9\x5a") - , ("\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x65\x0a\x42\xa0\x3c\x4b\x93\xa4\xb7\x43\xdc\x9e\x9c\xf4\xc0\x9b") - , ("\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x80\xcd\x20\xe1\xbd\x89\x3c\x5e\xe4\x20\x76\x85\xb0\x9a\x0e\x3e") - , ("\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x15\x0e\x0e\x11\x10\xb4\x23\x3c\x78\x59\x76\x16\xfe\xd8\xed\x3b") - , ("\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x32\x09\x33\x41\xd7\x5d\xbd\x73\xab\x0a\x45\xf2\xe0\x9f\xa8\x5b") - , ("\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x64\x0b\x43\xa1\x3d\x4a\x92\xa5\xb6\x42\xdd\x9f\x9d\xf5\xc1\x9a") - , ("\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x81\xcc\x21\xe0\xbc\x88\x3d\x5f\xe5\x21\x77\x84\xb1\x9b\x0f\x3f") - , ("\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\xf5\x06\x41\x7e\x6a\x8f\xbc\x32\xdd\xa5\x52\x73\xbf\x9f\x4d\x5c") - , ("\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\xbf\x6d\x28\xac\x20\xc9\x1d\x65\xa9\xd4\xb0\x96\xc2\xd5\xa5\x09") - , ("\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x5f\x2a\x46\xab\x8d\xb9\x5b\x22\x15\xfe\x1a\xa4\xdd\x69\x59\x26") - , ("\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x71\x9b\x21\xb5\x39\x7c\x2f\x16\x7c\x8b\x45\x22\xb5\x20\xec\x2e") - ] - -vectors_aes192_dec = - [ - ("\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x13\x46\x0e\x87\xa8\xfc\x02\x3e\xf2\x50\x1a\xfe\x7f\xf5\x1c\x51") - , ("\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x91\x75\x27\xfc\xd4\xa0\x6f\x32\x27\x29\x90\x14\xca\xde\xd4\x1a") - , ("\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x29\x64\x80\xb6\xa5\xd6\xcf\xb3\x78\x3f\x21\x6b\x80\x31\x3d\xb3") - , ("\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\xbc\xa5\x06\x07\xd0\x67\x30\x85\x2d\x3a\x50\x4b\x68\x0a\x19\xcc") - , ("\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x12\x47\x0f\x86\xa9\xfd\x03\x3f\xf3\x51\x1b\xff\x7e\xf4\x1d\x50") - , ("\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x90\x74\x26\xfd\xd5\xa1\x6e\x33\x26\x28\x91\x15\xcb\xdf\xd5\x1b") - , ("\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x28\x65\x81\xb7\xa4\xd7\xce\xb2\x79\x3e\x20\x6a\x81\x30\x3c\xb2") - , ("\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\xbd\xa4\x07\x06\xd1\x66\x31\x84\x2c\x3b\x51\x4a\x69\x0b\x18\xcd") - , ("\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x38\xf9\xf9\xd1\x7e\x2c\x82\xaf\xdc\xed\x68\x03\xb6\x31\x46\x3e") - , ("\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x35\x4e\xc1\x01\x0f\x17\x50\x5e\x63\x37\x40\x4b\x9a\xf2\xc0\x5c") - , ("\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\xa7\x7c\xc9\xd1\x4f\x44\xf7\xf7\xcc\x45\x80\x83\x19\xb7\xa4\x71") - , ("\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\xf9\x1d\xb1\x13\x0b\xd1\xc0\x66\x9f\xfa\xc2\x0e\xbe\xdd\xcb\xca") - ] - -vectors_aes256_dec = - [ - ("\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x67\x67\x1c\xe1\xfa\x91\xdd\xeb\x0f\x8f\xbb\xb3\x66\xb5\x31\xb4") - , ("\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x7b\xd3\xfb\x90\x65\x56\x9f\x39\x8b\x09\xcb\x93\x4b\x1e\x01\x23") - , ("\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\xda\xa8\xbf\x5c\xde\x2e\x52\x45\x5f\xa3\xb3\xfe\x33\x32\x47\xca") - , ("\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x83\x24\xdc\xb4\x30\x12\x73\x6c\xed\x58\xab\x8f\x4b\x05\xca\x0b") - , ("\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x66\x66\x1d\xe0\xfb\x90\xdc\xea\x0e\x8e\xba\xb2\x67\xb4\x30\xb5") - , ("\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x7a\xd2\xfa\x91\x64\x57\x9e\x38\x8a\x08\xca\x92\x4a\x1f\x00\x22") - , ("\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\xdb\xa9\xbe\x5d\xdf\x2f\x53\x44\x5e\xa2\xb2\xff\x32\x33\x46\xcb") - , ("\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x82\x25\xdd\xb5\x31\x13\x72\x6d\xec\x59\xaa\x8e\x4a\x04\xcb\x0a") - , ("\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x68\xe9\x07\x16\xe3\x66\x1b\x1d\xb1\x89\x74\xb0\x9c\x46\x47\xe4") - , ("\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01","\x7f\xb9\xeb\xa4\xd3\x5f\x70\x40\xab\x52\xec\xd2\x3b\x48\xb7\x6e") - , ("\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02","\x6c\x58\x0f\x41\x82\x36\xbc\xff\x64\x1d\xac\xa7\x3e\x34\x11\x18") - , ("\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03\x03","\x3f\x62\xd6\x8c\xb1\xf7\x62\x28\xa4\xc3\x82\x4f\x8b\x24\xe7\x4b") - ] diff --git a/tests/KAT_AES/KATCCM.hs b/tests/KAT_AES/KATCCM.hs deleted file mode 100644 --- a/tests/KAT_AES/KATCCM.hs +++ /dev/null @@ -1,155 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_AES.KATCCM where - -import qualified Data.ByteString as B - --- (key, iv, header, in, out+atag, taglen) -type KATCCM = (B.ByteString, B.ByteString, B.ByteString, B.ByteString, B.ByteString, Int) - -vectors_aes128_enc :: [KATCCM] -vectors_aes128_enc = - [ ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" - , {- iv = -} "\x00\x00\x00\x03\x02\x01\x00\xa0\xa1\xa2\xa3\xa4\xa5" - , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07" - , {- in = -} "\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e" - , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x58\x8c\x97\x9a\x61\xc6\x63\xd2\xf0\x66\xd0\xc2\xc0\xf9\x89\x80\x6d\x5f\x6b\x61\xda\xc3\x84\x17\xe8\xd1\x2c\xfd\xf9\x26\xe0" - , {- M = -} 8) - , ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" - , {- iv = -} "\x00\x00\x00\x04\x03\x02\x01\xa0\xa1\xa2\xa3\xa4\xa5" - , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07" - , {- in = -} "\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f" - , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x72\xc9\x1a\x36\xe1\x35\xf8\xcf\x29\x1c\xa8\x94\x08\x5c\x87\xe3\xcc\x15\xc4\x39\xc9\xe4\x3a\x3b\xa0\x91\xd5\x6e\x10\x40\x09\x16" - , {- M = -} 8) - , ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" - , {- iv = -} "\x00\x00\x00\x05\x04\x03\x02\xa0\xa1\xa2\xa3\xa4\xa5" - , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07" - , {- in = -} "\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20" - , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x51\xb1\xe5\xf4\x4a\x19\x7d\x1d\xa4\x6b\x0f\x8e\x2d\x28\x2a\xe8\x71\xe8\x38\xbb\x64\xda\x85\x96\x57\x4a\xda\xa7\x6f\xbd\x9f\xb0\xc5" - , {- M = -} 8) - , ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" - , {- iv = -} "\x00\x00\x00\x06\x05\x04\x03\xa0\xa1\xa2\xa3\xa4\xa5" - , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b" - , {- in = -} "\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e" - , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\xa2\x8c\x68\x65\x93\x9a\x9a\x79\xfa\xaa\x5c\x4c\x2a\x9d\x4a\x91\xcd\xac\x8c\x96\xc8\x61\xb9\xc9\xe6\x1e\xf1" - , {- M = -} 8) - , ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" - , {- iv = -} "\x00\x00\x00\x07\x06\x05\x04\xa0\xa1\xa2\xa3\xa4\xa5" - , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b" - , {- in = -} "\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f" - , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\xdc\xf1\xfb\x7b\x5d\x9e\x23\xfb\x9d\x4e\x13\x12\x53\x65\x8a\xd8\x6e\xbd\xca\x3e\x51\xe8\x3f\x07\x7d\x9c\x2d\x93" - , {- M = -} 8) - , ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" - , {- iv = -} "\x00\x00\x00\x08\x07\x06\x05\xa0\xa1\xa2\xa3\xa4\xa5" - , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b" - , {- in = -} "\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20" - , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x6f\xc1\xb0\x11\xf0\x06\x56\x8b\x51\x71\xa4\x2d\x95\x3d\x46\x9b\x25\x70\xa4\xbd\x87\x40\x5a\x04\x43\xac\x91\xcb\x94" - , {- M = -} 8) - , ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" - , {- iv = -} "\x00\x00\x00\x09\x08\x07\x06\xa0\xa1\xa2\xa3\xa4\xa5" - , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07" - , {- in = -} "\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e" - , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x01\x35\xd1\xb2\xc9\x5f\x41\xd5\xd1\xd4\xfe\xc1\x85\xd1\x66\xb8\x09\x4e\x99\x9d\xfe\xd9\x6c\x04\x8c\x56\x60\x2c\x97\xac\xbb\x74\x90" - , {- M = -} 10) - , ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" - , {- iv = -} "\x00\x00\x00\x0a\x09\x08\x07\xa0\xa1\xa2\xa3\xa4\xa5" - , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07" - , {- in = -} "\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f" - , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x7b\x75\x39\x9a\xc0\x83\x1d\xd2\xf0\xbb\xd7\x58\x79\xa2\xfd\x8f\x6c\xae\x6b\x6c\xd9\xb7\xdb\x24\xc1\x7b\x44\x33\xf4\x34\x96\x3f\x34\xb4" - , {- M = -} 10) - , ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" - , {- iv = -} "\x00\x00\x00\x0b\x0a\x09\x08\xa0\xa1\xa2\xa3\xa4\xa5" - , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07" - , {- in = -} "\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20" - , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x82\x53\x1a\x60\xcc\x24\x94\x5a\x4b\x82\x79\x18\x1a\xb5\xc8\x4d\xf2\x1c\xe7\xf9\xb7\x3f\x42\xe1\x97\xea\x9c\x07\xe5\x6b\x5e\xb1\x7e\x5f\x4e" - , {- M = -} 10) - , ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" - , {- iv = -} "\x00\x00\x00\x0c\x0b\x0a\x09\xa0\xa1\xa2\xa3\xa4\xa5" - , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b" - , {- in = -} "\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e" - , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x07\x34\x25\x94\x15\x77\x85\x15\x2b\x07\x40\x98\x33\x0a\xbb\x14\x1b\x94\x7b\x56\x6a\xa9\x40\x6b\x4d\x99\x99\x88\xdd" - , {- M = -} 10) - , ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" - , {- iv = -} "\x00\x00\x00\x0d\x0c\x0b\x0a\xa0\xa1\xa2\xa3\xa4\xa5" - , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b" - , {- in = -} "\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f" - , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x67\x6b\xb2\x03\x80\xb0\xe3\x01\xe8\xab\x79\x59\x0a\x39\x6d\xa7\x8b\x83\x49\x34\xf5\x3a\xa2\xe9\x10\x7a\x8b\x6c\x02\x2c" - , {- M = -} 10) - , ( {- key = -} "\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf" - , {- iv = -} "\x00\x00\x00\x0e\x0d\x0c\x0b\xa0\xa1\xa2\xa3\xa4\xa5" - , {- hdr = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b" - , {- in = -} "\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20" - , {- out = -} "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\xc0\xff\xa0\xd6\xf0\x5b\xdb\x67\xf2\x4d\x43\xa4\x33\x8d\x2a\xa4\xbe\xd7\xb2\x0e\x43\xcd\x1a\xa3\x16\x62\xe7\xad\x65\xd6\xdb" - , {- M = -} 10) - , ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" - , {- iv = -} "\x00\x41\x2b\x4e\xa9\xcd\xbe\x3c\x96\x96\x76\x6c\xfa" - , {- hdr = -} "\x0b\xe1\xa8\x8b\xac\xe0\x18\xb1" - , {- in = -} "\x08\xe8\xcf\x97\xd8\x20\xea\x25\x84\x60\xe9\x6a\xd9\xcf\x52\x89\x05\x4d\x89\x5c\xea\xc4\x7c" - , {- out = -} "\x0b\xe1\xa8\x8b\xac\xe0\x18\xb1\x4c\xb9\x7f\x86\xa2\xa4\x68\x9a\x87\x79\x47\xab\x80\x91\xef\x53\x86\xa6\xff\xbd\xd0\x80\xf8\xe7\x8c\xf7\xcb\x0c\xdd\xd7\xb3" - , {- M = -} 8) - , ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" - , {- iv = -} "\x00\x33\x56\x8e\xf7\xb2\x63\x3c\x96\x96\x76\x6c\xfa" - , {- hdr = -} "\x63\x01\x8f\x76\xdc\x8a\x1b\xcb" - , {- in = -} "\x90\x20\xea\x6f\x91\xbd\xd8\x5a\xfa\x00\x39\xba\x4b\xaf\xf9\xbf\xb7\x9c\x70\x28\x94\x9c\xd0\xec" - , {- out = -} "\x63\x01\x8f\x76\xdc\x8a\x1b\xcb\x4c\xcb\x1e\x7c\xa9\x81\xbe\xfa\xa0\x72\x6c\x55\xd3\x78\x06\x12\x98\xc8\x5c\x92\x81\x4a\xbc\x33\xc5\x2e\xe8\x1d\x7d\x77\xc0\x8a" - , {- M = -} 8) - , ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" - , {- iv = -} "\x00\x10\x3f\xe4\x13\x36\x71\x3c\x96\x96\x76\x6c\xfa" - , {- hdr = -} "\xaa\x6c\xfa\x36\xca\xe8\x6b\x40" - , {- in = -} "\xb9\x16\xe0\xea\xcc\x1c\x00\xd7\xdc\xec\x68\xec\x0b\x3b\xbb\x1a\x02\xde\x8a\x2d\x1a\xa3\x46\x13\x2e" - , {- out = -} "\xaa\x6c\xfa\x36\xca\xe8\x6b\x40\xb1\xd2\x3a\x22\x20\xdd\xc0\xac\x90\x0d\x9a\xa0\x3c\x61\xfc\xf4\xa5\x59\xa4\x41\x77\x67\x08\x97\x08\xa7\x76\x79\x6e\xdb\x72\x35\x06" - , {- M = -} 8) - , ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" - , {- iv = -} "\x00\x76\x4c\x63\xb8\x05\x8e\x3c\x96\x96\x76\x6c\xfa" - , {- hdr = -} "\xd0\xd0\x73\x5c\x53\x1e\x1b\xec\xf0\x49\xc2\x44" - , {- in = -} "\x12\xda\xac\x56\x30\xef\xa5\x39\x6f\x77\x0c\xe1\xa6\x6b\x21\xf7\xb2\x10\x1c" - , {- out = -} "\xd0\xd0\x73\x5c\x53\x1e\x1b\xec\xf0\x49\xc2\x44\x14\xd2\x53\xc3\x96\x7b\x70\x60\x9b\x7c\xbb\x7c\x49\x91\x60\x28\x32\x45\x26\x9a\x6f\x49\x97\x5b\xca\xde\xaf" - , {- M = -} 8) - , ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" - , {- iv = -} "\x00\xf8\xb6\x78\x09\x4e\x3b\x3c\x96\x96\x76\x6c\xfa" - , {- hdr = -} "\x77\xb6\x0f\x01\x1c\x03\xe1\x52\x58\x99\xbc\xae" - , {- in = -} "\xe8\x8b\x6a\x46\xc7\x8d\x63\xe5\x2e\xb8\xc5\x46\xef\xb5\xde\x6f\x75\xe9\xcc\x0d" - , {- out = -} "\x77\xb6\x0f\x01\x1c\x03\xe1\x52\x58\x99\xbc\xae\x55\x45\xff\x1a\x08\x5e\xe2\xef\xbf\x52\xb2\xe0\x4b\xee\x1e\x23\x36\xc7\x3e\x3f\x76\x2c\x0c\x77\x44\xfe\x7e\x3c" - , {- M = -} 8) - , ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" - , {- iv = -} "\x00\xd5\x60\x91\x2d\x3f\x70\x3c\x96\x96\x76\x6c\xfa" - , {- hdr = -} "\xcd\x90\x44\xd2\xb7\x1f\xdb\x81\x20\xea\x60\xc0" - , {- in = -} "\x64\x35\xac\xba\xfb\x11\xa8\x2e\x2f\x07\x1d\x7c\xa4\xa5\xeb\xd9\x3a\x80\x3b\xa8\x7f" - , {- out = -} "\xcd\x90\x44\xd2\xb7\x1f\xdb\x81\x20\xea\x60\xc0\x00\x97\x69\xec\xab\xdf\x48\x62\x55\x94\xc5\x92\x51\xe6\x03\x57\x22\x67\x5e\x04\xc8\x47\x09\x9e\x5a\xe0\x70\x45\x51" - , {- M = -} 8) - , ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" - , {- iv = -} "\x00\x42\xff\xf8\xf1\x95\x1c\x3c\x96\x96\x76\x6c\xfa" - , {- hdr = -} "\xd8\x5b\xc7\xe6\x9f\x94\x4f\xb8" - , {- in = -} "\x8a\x19\xb9\x50\xbc\xf7\x1a\x01\x8e\x5e\x67\x01\xc9\x17\x87\x65\x98\x09\xd6\x7d\xbe\xdd\x18" - , {- out = -} "\xd8\x5b\xc7\xe6\x9f\x94\x4f\xb8\xbc\x21\x8d\xaa\x94\x74\x27\xb6\xdb\x38\x6a\x99\xac\x1a\xef\x23\xad\xe0\xb5\x29\x39\xcb\x6a\x63\x7c\xf9\xbe\xc2\x40\x88\x97\xc6\xba" - , {- M = -} 10) - , ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" - , {- iv = -} "\x00\x92\x0f\x40\xe5\x6c\xdc\x3c\x96\x96\x76\x6c\xfa" - , {- hdr = -} "\x74\xa0\xeb\xc9\x06\x9f\x5b\x37" - , {- in = -} "\x17\x61\x43\x3c\x37\xc5\xa3\x5f\xc1\xf3\x9f\x40\x63\x02\xeb\x90\x7c\x61\x63\xbe\x38\xc9\x84\x37" - , {- out = -} "\x74\xa0\xeb\xc9\x06\x9f\x5b\x37\x58\x10\xe6\xfd\x25\x87\x40\x22\xe8\x03\x61\xa4\x78\xe3\xe9\xcf\x48\x4a\xb0\x4f\x44\x7e\xff\xf6\xf0\xa4\x77\xcc\x2f\xc9\xbf\x54\x89\x44" - , {- M = -} 10) - , ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" - , {- iv = -} "\x00\x27\xca\x0c\x71\x20\xbc\x3c\x96\x96\x76\x6c\xfa" - , {- hdr = -} "\x44\xa3\xaa\x3a\xae\x64\x75\xca" - , {- in = -} "\xa4\x34\xa8\xe5\x85\x00\xc6\xe4\x15\x30\x53\x88\x62\xd6\x86\xea\x9e\x81\x30\x1b\x5a\xe4\x22\x6b\xfa" - , {- out = -} "\x44\xa3\xaa\x3a\xae\x64\x75\xca\xf2\xbe\xed\x7b\xc5\x09\x8e\x83\xfe\xb5\xb3\x16\x08\xf8\xe2\x9c\x38\x81\x9a\x89\xc8\xe7\x76\xf1\x54\x4d\x41\x51\xa4\xed\x3a\x8b\x87\xb9\xce" - , {- M = -} 10) - , ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" - , {- iv = -} "\x00\x5b\x8c\xcb\xcd\x9a\xf8\x3c\x96\x96\x76\x6c\xfa" - , {- hdr = -} "\xec\x46\xbb\x63\xb0\x25\x20\xc3\x3c\x49\xfd\x70" - , {- in = -} "\xb9\x6b\x49\xe2\x1d\x62\x17\x41\x63\x28\x75\xdb\x7f\x6c\x92\x43\xd2\xd7\xc2" - , {- out = -} "\xec\x46\xbb\x63\xb0\x25\x20\xc3\x3c\x49\xfd\x70\x31\xd7\x50\xa0\x9d\xa3\xed\x7f\xdd\xd4\x9a\x20\x32\xaa\xbf\x17\xec\x8e\xbf\x7d\x22\xc8\x08\x8c\x66\x6b\xe5\xc1\x97" - , {- M = -} 10) - , ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" - , {- iv = -} "\x00\x3e\xbe\x94\x04\x4b\x9a\x3c\x96\x96\x76\x6c\xfa" - , {- hdr = -} "\x47\xa6\x5a\xc7\x8b\x3d\x59\x42\x27\xe8\x5e\x71" - , {- in = -} "\xe2\xfc\xfb\xb8\x80\x44\x2c\x73\x1b\xf9\x51\x67\xc8\xff\xd7\x89\x5e\x33\x70\x76" - , {- out = -} "\x47\xa6\x5a\xc7\x8b\x3d\x59\x42\x27\xe8\x5e\x71\xe8\x82\xf1\xdb\xd3\x8c\xe3\xed\xa7\xc2\x3f\x04\xdd\x65\x07\x1e\xb4\x13\x42\xac\xdf\x7e\x00\xdc\xce\xc7\xae\x52\x98\x7d" - , {- M = -} 10) - , ( {- key = -} "\xd7\x82\x8d\x13\xb2\xb0\xbd\xc3\x25\xa7\x62\x36\xdf\x93\xcc\x6b" - , {- iv = -} "\x00\x8d\x49\x3b\x30\xae\x8b\x3c\x96\x96\x76\x6c\xfa" - , {- hdr = -} "\x6e\x37\xa6\xef\x54\x6d\x95\x5d\x34\xab\x60\x59" - , {- in = -} "\xab\xf2\x1c\x0b\x02\xfe\xb8\x8f\x85\x6d\xf4\xa3\x73\x81\xbc\xe3\xcc\x12\x85\x17\xd4" - , {- out = -} "\x6e\x37\xa6\xef\x54\x6d\x95\x5d\x34\xab\x60\x59\xf3\x29\x05\xb8\x8a\x64\x1b\x04\xb9\xc9\xff\xb5\x8c\xc3\x90\x90\x0f\x3d\xa1\x2a\xb1\x6d\xce\x9e\x82\xef\xa1\x6d\xa6\x20\x59" - , {- M = -} 10) - ] diff --git a/tests/KAT_AES/KATECB.hs b/tests/KAT_AES/KATECB.hs deleted file mode 100644 --- a/tests/KAT_AES/KATECB.hs +++ /dev/null @@ -1,148 +0,0 @@ -module KAT_AES.KATECB where - -import qualified Data.ByteString as B - -vectors_aes128_enc = - [ - ( B.pack [0x10, 0xa5, 0x88, 0x69, 0xd7, 0x4b, 0xe5, 0xa3,0x74,0xcf,0x86,0x7c,0xfb,0x47,0x38,0x59] - , B.replicate 16 0 - , B.pack [0x6d,0x25,0x1e,0x69,0x44,0xb0,0x51,0xe0,0x4e,0xaa,0x6f,0xb4,0xdb,0xf7,0x84,0x65] - ) - , ( B.replicate 16 0 - , B.replicate 16 0 - , B.pack [0x66,0xe9,0x4b,0xd4,0xef,0x8a,0x2c,0x3b,0x88,0x4c,0xfa,0x59,0xca,0x34,0x2b,0x2e] - ) - , ( B.replicate 16 0 - , B.replicate 16 1 - , B.pack [0xe1,0x4d,0x5d,0x0e,0xe2,0x77,0x15,0xdf,0x08,0xb4,0x15,0x2b,0xa2,0x3d,0xa8,0xe0] - ) - , ( B.replicate 16 1 - , B.replicate 16 2 - , B.pack [0x17,0xd6,0x14,0xf3,0x79,0xa9,0x35,0x90,0x77,0xe9,0x55,0x77,0xfd,0x31,0xc2,0x0a] - ) - , ( B.replicate 16 2 - , B.replicate 16 1 - , B.pack [0x8f,0x42,0xc2,0x4b,0xee,0x6e,0x63,0x47,0x2b,0x16,0x5a,0xa9,0x41,0x31,0x2f,0x7c] - ) - , ( B.replicate 16 3 - , B.replicate 16 2 - , B.pack [0x90,0x98,0x85,0xe4,0x77,0xbc,0x20,0xf5,0x8a,0x66,0x97,0x1d,0xa0,0xbc,0x75,0xe3] - ) - ] - -vectors_aes192_enc = - [ - ( B.replicate 24 0 - , B.replicate 16 0 - , B.pack [0xaa,0xe0,0x69,0x92,0xac,0xbf,0x52,0xa3,0xe8,0xf4,0xa9,0x6e,0xc9,0x30,0x0b,0xd7] - ) - , ( B.replicate 24 0 - , B.replicate 16 1 - , B.pack [0xcf,0x1e,0xce,0x3c,0x44,0xb0,0x78,0xfb,0x27,0xcb,0x0a,0x3e,0x07,0x1b,0x08,0x20] - ) - , ( B.replicate 24 1 - , B.replicate 16 2 - , B.pack [0xeb,0x8c,0x17,0x30,0x90,0xc7,0x5b,0x77,0xd6,0x72,0xb4,0x57,0xa7,0x78,0xd9,0xd0] - ) - , ( B.replicate 24 2 - , B.replicate 16 1 - , B.pack [0xf2,0xf0,0xae,0xd8,0xcd,0xc9,0x21,0xca,0x4b,0x55,0x84,0x5d,0xa4,0x15,0x21,0xc2] - ) - , ( B.replicate 24 3 - , B.replicate 16 2 - , B.pack [0xca,0xcc,0x30,0x79,0xe4,0xb7,0x95,0x27,0x63,0xd2,0x55,0xd6,0x34,0x10,0x46,0x14] - ) - ] - -vectors_aes256_enc = - [ ( B.replicate 32 0 - , B.replicate 16 0 - , B.pack [0xdc,0x95,0xc0,0x78,0xa2,0x40,0x89,0x89,0xad,0x48,0xa2,0x14,0x92,0x84,0x20,0x87] - ) - , ( B.replicate 32 0 - , B.replicate 16 1 - , B.pack [0x7b,0xc3,0x02,0x6c,0xd7,0x37,0x10,0x3e,0x62,0x90,0x2b,0xcd,0x18,0xfb,0x01,0x63] - ) - , ( B.replicate 32 1 - , B.replicate 16 2 - , B.pack [0x62,0xae,0x12,0xf3,0x24,0xbf,0xea,0x08,0xd5,0xf6,0x75,0xb5,0x13,0x02,0x6b,0xbf] - ) - , ( B.replicate 32 2 - , B.replicate 16 1 - , B.pack [0x00,0xf9,0xc7,0x44,0x4b,0xb0,0xcc,0x80,0x6c,0x7c,0x39,0xee,0x22,0x11,0xf1,0x46] - ) - , ( B.replicate 32 3 - , B.replicate 16 2 - , B.pack [0xb4,0x05,0x87,0x3e,0xa0,0x76,0x1b,0x9c,0xa9,0x9f,0x70,0xb0,0x16,0x16,0xce,0xb1] - ) - ] - -vectors_aes128_dec = - [ ( B.replicate 16 0 - , B.replicate 16 0 - , B.pack [0x14,0x0f,0x0f,0x10,0x11,0xb5,0x22,0x3d,0x79,0x58,0x77,0x17,0xff,0xd9,0xec,0x3a] - ) - , ( B.replicate 16 0 - , B.replicate 16 1 - , B.pack [0x15,0x6d,0x0f,0x85,0x75,0xd5,0x33,0x07,0x52,0xf8,0x4a,0xf2,0x72,0xff,0x30,0x50] - ) - , ( B.replicate 16 1 - , B.replicate 16 2 - , B.pack [0x34,0x37,0xd6,0xe2,0x31,0xd7,0x02,0x41,0x9b,0x51,0xb4,0x94,0x72,0x71,0xb6,0x11] - ) - , ( B.replicate 16 2 - , B.replicate 16 1 - , B.pack [0xe3,0xcd,0xe2,0x37,0xc8,0xf2,0xd9,0x7b,0x8d,0x79,0xf9,0x17,0x1d,0x4b,0xda,0xc1] - ) - , ( B.replicate 16 3 - , B.replicate 16 2 - , B.pack [0x5b,0x94,0xaa,0xed,0xd7,0x83,0x99,0x8c,0xd5,0x15,0x35,0x35,0x18,0xcc,0x45,0xe2] - ) - ] - -vectors_aes192_dec = - [ - ( B.replicate 24 0 - , B.replicate 16 0 - , B.pack [0x13,0x46,0x0e,0x87,0xa8,0xfc,0x02,0x3e,0xf2,0x50,0x1a,0xfe,0x7f,0xf5,0x1c,0x51] - ) - , ( B.replicate 24 0 - , B.replicate 16 1 - , B.pack [0x92,0x17,0x07,0xc3,0x3d,0x1c,0xc5,0x96,0x7d,0xa5,0x1d,0xbb,0xb0,0x66,0xb2,0x6c] - ) - , ( B.replicate 24 1 - , B.replicate 16 2 - , B.pack [0xee,0x92,0x97,0xc6,0xba,0xe8,0x26,0x4d,0xff,0x08,0x0e,0xbb,0x1e,0x74,0x11,0xc1] - ) - , ( B.replicate 24 2 - , B.replicate 16 1 - , B.pack [0x49,0x67,0xdf,0x70,0xd2,0x9e,0x9a,0x7f,0x5d,0x7c,0xb9,0xc1,0x20,0xc3,0x8a,0x71] - ) - , ( B.replicate 24 3 - , B.replicate 16 2 - , B.pack [0x74,0x38,0x62,0x42,0x6b,0x56,0x7f,0xd5,0xf0,0x1d,0x1b,0x59,0x56,0x01,0x26,0x29] - ) - ] - -vectors_aes256_dec = - [ ( B.replicate 32 0 - , B.replicate 16 0 - , B.pack [0x67,0x67,0x1c,0xe1,0xfa,0x91,0xdd,0xeb,0x0f,0x8f,0xbb,0xb3,0x66,0xb5,0x31,0xb4] - ) - , ( B.replicate 32 0 - , B.replicate 16 1 - , B.pack [0xcc,0x09,0x21,0xa3,0xc5,0xca,0x17,0xf7,0x48,0xb7,0xc2,0x7b,0x73,0xba,0x87,0xa2] - ) - , ( B.replicate 32 1 - , B.replicate 16 2 - , B.pack [0xc0,0x4b,0x27,0x90,0x1a,0x50,0xcf,0xfa,0xf1,0xbb,0x88,0x9f,0xc0,0x92,0x5e,0x14] - ) - , ( B.replicate 32 2 - , B.replicate 16 1 - , B.pack [0x24,0x61,0x53,0x5d,0x16,0x1c,0x15,0x39,0x88,0x32,0x77,0x29,0xc5,0x8c,0xc0,0x3a] - ) - , ( B.replicate 32 3 - , B.replicate 16 2 - , B.pack [0x30,0xc9,0x1c,0xce,0xfe,0x89,0x30,0xcf,0xff,0x31,0xdb,0xcc,0xfc,0x11,0xc5,0x23] - ) - ] diff --git a/tests/KAT_AES/KATGCM.hs b/tests/KAT_AES/KATGCM.hs deleted file mode 100644 --- a/tests/KAT_AES/KATGCM.hs +++ /dev/null @@ -1,94 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_AES.KATGCM where - -import qualified Data.ByteString as B -import Data.ByteString.Char8 () - --- (key, iv, aad, input, out, taglen, tag) -type KATGCM = (B.ByteString, B.ByteString, B.ByteString, B.ByteString, B.ByteString, Int, B.ByteString) - -vectors_aes128_enc :: [KATGCM] -vectors_aes128_enc = - [ -- vectors 0 - ( {-key = -}"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , {-iv = -}"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , {-aad = -}"" - , {-input = -}"" - , {-out = -}"" - , {-taglen = -}16 - , {-tag = -}"\x58\xe2\xfc\xce\xfa\x7e\x30\x61\x36\x7f\x1d\x57\xa4\xe7\x45\x5a") - -- vectors 1 - , ( {-key = -}"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , {-iv = -}"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , {-aad = -}"\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" - , {-input = -}"\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a" - , {-out = -}"\x09\x82\xd0\xc4\x6a\xbc\xa9\x98\xf9\x22\xc8\xb3\x7b\xb8\xf4\x72\xfd\x9f\xa0\xa1\x43\x41\x53\x29\xfd\xf7\x83\xf5\x9e\x81\xcb\xea" - , {-taglen = -}16 - , {-tag = -}"\x28\x50\x64\x2f\xa8\x8b\xab\x21\x2a\x67\x1a\x97\x48\x69\xa5\x6c") - - -- vectors 2 - , ( {-key = -}"\x01\x02\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , {-iv = -}"\xff\xfe\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , {-aad = -}"\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" - , {-input = -}"\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a" - , {-out = -}"\x1c\xa3\xb5\x41\x39\x6f\x19\x7a\x91\x2d\x27\x15\x70\xd1\xf5\x76\xde\xf1\xbe\x84\x42\x2a\xbb\xbe\x0b\x2d\x91\x21\x82\xbf\x7f\x17" - , {-taglen = -}16 - , {-tag = -}"\x15\x2a\x05\xbb\x7e\x13\x5d\xbe\x93\x7f\xa0\x54\x7a\x8e\x74\xb6") - -- vectors 3 - , ( {-key = -}"\x01\x02\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , {-iv = -}"\xff\xfe\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , {-aad = -}"\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01\x01" - , {-input = -}"\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a\x0a" - , {-out = -}"\xda\x35\xf6\x0a\x65\xc2\xa4\x6c\xb6\x6e\xb6\xf8\x1f\x0b\x9c\x74\x53\x4c\x97\x70\x36\xf7\xdf\x05\x6d\x00\xfe\xbf\xb4\xcb\xf5\x27" - , {-taglen = -}16 - , {-tag = -}"\xb7\x76\x7c\x3b\x9e\xf1\xe2\xcb\xc9\x11\xf1\x9a\xdc\xfa\x35\x0d") - , ( {-key = -}"\x01\x02\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , {-iv = -}"\xff\xfe\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , {-aad = -}"\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76" - , {-input = -}"\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b" - , {-out = -}"\xe4\x42\xf8\xc4\xc6\x67\x84\x86\x4a\x5a\x6e\xc7\xe0\xca\x68\xac\x16\xbc\x5b\xbf\xf7\xd5\xf3\xfa\xf3\xb2\xcb\xb0\xa2\x14\xa1\x81" - , {-taglen = -}16 - , {-tag = -}"\x5f\x63\xb8\xeb\x1d\x6f\xa8\x7a\xeb\x39\xa5\xf6\xd7\xed\xc3\x13") - , ( {-key = -}"\x01\x02\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , {-iv = -}"\xff\xfe\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , {-aad = -}"\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76\x76" - , {-input = -}"\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b" - , {-out = -}"\xe4\x42\xf8\xc4\xc6\x67\x84\x86\x4a\x5a\x6e\xc7\xe0\xca\x68\xac\x16\xbc\x5b\xbf\xf7\xd5\xf3\xfa\xf3\xb2\xcb\xb0\xa2\x14\xa1" - , {-taglen = -}16 - , {-tag = -}"\x94\xd1\x47\xc3\xa2\xca\x93\xe9\x66\x93\x1e\x3b\xb3\xbb\x67\x01") - -- vector 6 tests 32-bit counter wrapping - , ( {-key = -}"\x01\x02\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , {-iv = -}"\xe8\x38\x84\x1d\x75\xae\x33\xb5\x4b\x51\x57\x89\xc9\x5f\xbe\x65" - , {-aad = -}"\x54\x68\x65\x20\x66\x69\x76\x65\x20\x62\x6f\x78\x69\x6e\x67\x20\x77\x69\x7a\x61\x72\x64\x73\x20\x6a\x75\x6d\x70\x20\x71\x75\x69\x63\x6b\x6c\x79\x2e" - , {-input = -}"\x54\x68\x65\x20\x71\x75\x69\x63\x6b\x20\x62\x72\x6f\x77\x6e\x20\x66\x6f\x78\x20\x6a\x75\x6d\x70\x73\x20\x6f\x76\x65\x72\x20\x74\x68\x65\x20\x6c\x61\x7a\x79\x20\x64\x6f\x67" - , {-out = -}"\x82\x31\x9e\x5a\x6a\x7f\x43\xd0\x42\x8c\xf1\x01\xcf\x0c\x75\xf1\x5d\xda\x4f\xa1\x28\x95\xcd\xd7\x7b\xd5\x42\x68\x2f\xcd\x10\x1b\x0c\x75\x05\x54\xf4\x2f\x2b\xf6\x69\x96\x29" - , {-taglen = -}16 - , {-tag = -}"\x9a\xfa\xf4\xea\xae\x2e\x6f\x40\x00\xf4\x89\x77\xd0\x1e\xd5\x14") - ] - -vectors_aes256_enc :: [KATGCM] -vectors_aes256_enc = - [ - ( "\xb5\x2c\x50\x5a\x37\xd7\x8e\xda\x5d\xd3\x4f\x20\xc2\x25\x40\xea\x1b\x58\x96\x3c\xf8\xe5\xbf\x8f\xfa\x85\xf9\xf2\x49\x25\x05\xb4" - , "\x51\x6c\x33\x92\x9d\xf5\xa3\x28\x4f\xf4\x63\xd7" - , "" - , "" - , "" - , 16 - , "\xbd\xc1\xac\x88\x4d\x33\x24\x57\xa1\xd2\x66\x4f\x16\x8c\x76\xf0") - , ( "\x78\xdc\x4e\x0a\xaf\x52\xd9\x35\xc3\xc0\x1e\xea\x57\x42\x8f\x00\xca\x1f\xd4\x75\xf5\xda\x86\xa4\x9c\x8d\xd7\x3d\x68\xc8\xe2\x23" - , "\xd7\x9c\xf2\x2d\x50\x4c\xc7\x93\xc3\xfb\x6c\x8a" - , "\xb9\x6b\xaa\x8c\x1c\x75\xa6\x71\xbf\xb2\xd0\x8d\x06\xbe\x5f\x36" - , "" - , "" - , 16 - , "\x3e\x5d\x48\x6a\xa2\xe3\x0b\x22\xe0\x40\xb8\x57\x23\xa0\x6e\x76") - , ( "\xc3\xf1\x05\x86\xf2\x46\xaa\xca\xdc\xce\x37\x01\x44\x17\x70\xc0\x3c\xfe\xc9\x40\xaf\xe1\x90\x8c\x4c\x53\x7d\xf4\xe0\x1c\x50\xa0" - , "\x4f\x52\xfa\xa1\xfa\x67\xa0\xe5\xf4\x19\x64\x52" - , "\x46\xf9\xa2\x2b\x4e\x52\xe1\x52\x65\x13\xa9\x52\xdb\xee\x3b\x91\xf6\x95\x95\x50\x1e\x01\x77\xd5\x0f\xf3\x64\x63\x85\x88\xc0\x8d\x92\xfa\xb8\xc5\x8a\x96\x9b\xdc\xc8\x4c\x46\x8d\x84\x98\xc4\xf0\x63\x92\xb9\x9e\xd5\xe0\xc4\x84\x50\x7f\xc4\x8d\xc1\x8d\x87\xc4\x0e\x2e\xd8\x48\xb4\x31\x50\xbe\x9d\x36\xf1\x4c\xf2\xce\xf1\x31\x0b\xa4\xa7\x45\xad\xcc\x7b\xdc\x41\xf6" - , "\x79\xd9\x7e\xa3\xa2\xed\xd6\x50\x45\x82\x1e\xa7\x45\xa4\x47\x42" - , "\x56\x0c\xf7\x16\xe5\x61\x90\xe9\x39\x7c\x2f\x10\x36\x29\xeb\x1f" - , 16 - , "\xff\x7c\x91\x24\x87\x96\x44\xe8\x05\x55\x68\x7d\x27\x3c\x55\xd8" - ) - ] diff --git a/tests/KAT_AES/KATOCB3.hs b/tests/KAT_AES/KATOCB3.hs deleted file mode 100644 --- a/tests/KAT_AES/KATOCB3.hs +++ /dev/null @@ -1,46 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_AES.KATOCB3 where - -import qualified Data.ByteString as B -import Data.ByteString.Char8 () - --- (key, iv, aad, input, out, taglen, tag) -type KATOCB3 = (B.ByteString, B.ByteString, B.ByteString, B.ByteString, B.ByteString, Int, B.ByteString) - -key1 = "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f" -nonce1 = "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b" - -vectors_aes128_enc :: [KATOCB3] -vectors_aes128_enc = - [ ( {-key = -} key1 - , {-iv = -} nonce1 - , {-aad = -}"" - , {-input = -}"" - , {-out = -}"" - , {-taglen = -} 16 - , {-tag = -} "\x19\x7b\x9c\x3c\x44\x1d\x3c\x83\xea\xfb\x2b\xef\x63\x3b\x91\x82") - , ( key1, nonce1 - , "\x00\x01\x02\x03\x04\x05\x06\x07" - , "\x00\x01\x02\x03\x04\x05\x06\x07" - , "\x92\xb6\x57\x13\x0a\x74\xb8\x5a" - , 16 - , "\x16\xdc\x76\xa4\x6d\x47\xe1\xea\xd5\x37\x20\x9e\x8a\x96\xd1\x4e") - , ( key1, nonce1 - , "\x00\x01\x02\x03\x04\x05\x06\x07" - , "" - , "" - , 16 - , "\x98\xb9\x15\x52\xc8\xc0\x09\x18\x50\x44\xe3\x0a\x6e\xb2\xfe\x21") - , ( key1, nonce1 - , "" - , "\x00\x01\x02\x03\x04\x05\x06\x07" - , "\x92\xb6\x57\x13\x0a\x74\xb8\x5a" - , 16 - , "\x97\x1e\xff\xca\xe1\x9a\xd4\x71\x6f\x88\xe8\x7b\x87\x1f\xbe\xed") - , ( key1, nonce1 - , "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f" - , "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f" - , "\xbe\xa5\xe8\x79\x8d\xbe\x71\x10\x03\x1c\x14\x4d\xa0\xb2\x61\x22" - , 16 - , "\x77\x6c\x99\x24\xd6\x72\x3a\x1f\xc4\x52\x45\x32\xac\x3e\x5b\xeb") - ] diff --git a/tests/KAT_AES/KATXTS.hs b/tests/KAT_AES/KATXTS.hs deleted file mode 100644 --- a/tests/KAT_AES/KATXTS.hs +++ /dev/null @@ -1,59 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_AES.KATXTS where - -import qualified Data.ByteString as B -import Data.ByteString.Char8 () - -type KATXTS = (B.ByteString, B.ByteString, B.ByteString, B.ByteString, B.ByteString, B.ByteString) - -vectors_aes128_enc, vectors_aes128_dec, vectors_aes256_enc, vectors_aes256_dec :: [KATXTS] -vectors_aes128_enc = - [ - ( "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , "\x66\xe9\x4b\xd4\xef\x8a\x2c\x3b\x88\x4c\xfa\x59\xca\x34\x2b\x2e\xcc\xd2\x97\xa8\xdf\x15\x59\x76\x10\x99\xf4\xb3\x94\x69\x56\x5c" - , "\x91\x7c\xf6\x9e\xbd\x68\xb2\xec\x9b\x9f\xe9\xa3\xea\xdd\xa6\x92\xcd\x43\xd2\xf5\x95\x98\xed\x85\x8c\x02\xc2\x65\x2f\xbf\x92\x2e" - ) - , - ( "\x11\x11\x11\x11\x11\x11\x11\x11\x11\x11\x11\x11\x11\x11\x11\x11" - , "\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22" - , "\x33\x33\x33\x33\x33\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , "\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44" - , "\x3f\x80\x3b\xcd\x0d\x7f\xd2\xb3\x75\x58\x41\x9f\x59\xd5\xcd\xa6\xf9\x00\x77\x9a\x1b\xfe\xa4\x67\xeb\xb0\x82\x3e\xb3\xaa\x9b\x4d" - , "\xc4\x54\x18\x5e\x6a\x16\x93\x6e\x39\x33\x40\x38\xac\xef\x83\x8b\xfb\x18\x6f\xff\x74\x80\xad\xc4\x28\x93\x82\xec\xd6\xd3\x94\xf0" - ) - , - ( "\xff\xfe\xfd\xfc\xfb\xfa\xf9\xf8\xf7\xf6\xf5\xf4\xf3\xf2\xf1\xf0" - , "\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22\x22" - , "\x33\x33\x33\x33\x33\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , "\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44\x44" - , "\x3f\x80\x3b\xcd\x0d\x7f\xd2\xb3\x75\x58\x41\x9f\x59\xd5\xcd\xa6\xf9\x00\x77\x9a\x1b\xfe\xa4\x67\xeb\xb0\x82\x3e\xb3\xaa\x9b\x4d" - , "\xaf\x85\x33\x6b\x59\x7a\xfc\x1a\x90\x0b\x2e\xb2\x1e\xc9\x49\xd2\x92\xdf\x4c\x04\x7e\x0b\x21\x53\x21\x86\xa5\x97\x1a\x22\x7a\x89" - ) - , - ( "\x27\x18\x28\x18\x28\x45\x90\x45\x23\x53\x60\x28\x74\x71\x35\x26" - , "\x31\x41\x59\x26\x53\x58\x97\x93\x23\x84\x62\x64\x33\x83\x27\x95" - , "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27\x28\x29\x2a\x2b\x2c\x2d\x2e\x2f\x30\x31\x32\x33\x34\x35\x36\x37\x38\x39\x3a\x3b\x3c\x3d\x3e\x3f\x40\x41\x42\x43\x44\x45\x46\x47\x48\x49\x4a\x4b\x4c\x4d\x4e\x4f\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f\x60\x61\x62\x63\x64\x65\x66\x67\x68\x69\x6a\x6b\x6c\x6d\x6e\x6f\x70\x71\x72\x73\x74\x75\x76\x77\x78\x79\x7a\x7b\x7c\x7d\x7e\x7f\x80\x81\x82\x83\x84\x85\x86\x87\x88\x89\x8a\x8b\x8c\x8d\x8e\x8f\x90\x91\x92\x93\x94\x95\x96\x97\x98\x99\x9a\x9b\x9c\x9d\x9e\x9f\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac\xad\xae\xaf\xb0\xb1\xb2\xb3\xb4\xb5\xb6\xb7\xb8\xb9\xba\xbb\xbc\xbd\xbe\xbf\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf\xd0\xd1\xd2\xd3\xd4\xd5\xd6\xd7\xd8\xd9\xda\xdb\xdc\xdd\xde\xdf\xe0\xe1\xe2\xe3\xe4\xe5\xe6\xe7\xe8\xe9\xea\xeb\xec\xed\xee\xef\xf0\xf1\xf2\xf3\xf4\xf5\xf6\xf7\xf8\xf9\xfa\xfb\xfc\xfd\xfe\xff\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27\x28\x29\x2a\x2b\x2c\x2d\x2e\x2f\x30\x31\x32\x33\x34\x35\x36\x37\x38\x39\x3a\x3b\x3c\x3d\x3e\x3f\x40\x41\x42\x43\x44\x45\x46\x47\x48\x49\x4a\x4b\x4c\x4d\x4e\x4f\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f\x60\x61\x62\x63\x64\x65\x66\x67\x68\x69\x6a\x6b\x6c\x6d\x6e\x6f\x70\x71\x72\x73\x74\x75\x76\x77\x78\x79\x7a\x7b\x7c\x7d\x7e\x7f\x80\x81\x82\x83\x84\x85\x86\x87\x88\x89\x8a\x8b\x8c\x8d\x8e\x8f\x90\x91\x92\x93\x94\x95\x96\x97\x98\x99\x9a\x9b\x9c\x9d\x9e\x9f\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac\xad\xae\xaf\xb0\xb1\xb2\xb3\xb4\xb5\xb6\xb7\xb8\xb9\xba\xbb\xbc\xbd\xbe\xbf\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf\xd0\xd1\xd2\xd3\xd4\xd5\xd6\xd7\xd8\xd9\xda\xdb\xdc\xdd\xde\xdf\xe0\xe1\xe2\xe3\xe4\xe5\xe6\xe7\xe8\xe9\xea\xeb\xec\xed\xee\xef\xf0\xf1\xf2\xf3\xf4\xf5\xf6\xf7\xf8\xf9\xfa\xfb\xfc\xfd\xfe\xff" - , "" - , "\x27\xa7\x47\x9b\xef\xa1\xd4\x76\x48\x9f\x30\x8c\xd4\xcf\xa6\xe2\xa9\x6e\x4b\xbe\x32\x08\xff\x25\x28\x7d\xd3\x81\x96\x16\xe8\x9c\xc7\x8c\xf7\xf5\xe5\x43\x44\x5f\x83\x33\xd8\xfa\x7f\x56\x00\x00\x05\x27\x9f\xa5\xd8\xb5\xe4\xad\x40\xe7\x36\xdd\xb4\xd3\x54\x12\x32\x80\x63\xfd\x2a\xab\x53\xe5\xea\x1e\x0a\x9f\x33\x25\x00\xa5\xdf\x94\x87\xd0\x7a\x5c\x92\xcc\x51\x2c\x88\x66\xc7\xe8\x60\xce\x93\xfd\xf1\x66\xa2\x49\x12\xb4\x22\x97\x61\x46\xae\x20\xce\x84\x6b\xb7\xdc\x9b\xa9\x4a\x76\x7a\xae\xf2\x0c\x0d\x61\xad\x02\x65\x5e\xa9\x2d\xc4\xc4\xe4\x1a\x89\x52\xc6\x51\xd3\x31\x74\xbe\x51\xa1\x0c\x42\x11\x10\xe6\xd8\x15\x88\xed\xe8\x21\x03\xa2\x52\xd8\xa7\x50\xe8\x76\x8d\xef\xff\xed\x91\x22\x81\x0a\xae\xb9\x9f\x91\x72\xaf\x82\xb6\x04\xdc\x4b\x8e\x51\xbc\xb0\x82\x35\xa6\xf4\x34\x13\x32\xe4\xca\x60\x48\x2a\x4b\xa1\xa0\x3b\x3e\x65\x00\x8f\xc5\xda\x76\xb7\x0b\xf1\x69\x0d\xb4\xea\xe2\x9c\x5f\x1b\xad\xd0\x3c\x5c\xcf\x2a\x55\xd7\x05\xdd\xcd\x86\xd4\x49\x51\x1c\xeb\x7e\xc3\x0b\xf1\x2b\x1f\xa3\x5b\x91\x3f\x9f\x74\x7a\x8a\xfd\x1b\x13\x0e\x94\xbf\xf9\x4e\xff\xd0\x1a\x91\x73\x5c\xa1\x72\x6a\xcd\x0b\x19\x7c\x4e\x5b\x03\x39\x36\x97\xe1\x26\x82\x6f\xb6\xbb\xde\x8e\xcc\x1e\x08\x29\x85\x16\xe2\xc9\xed\x03\xff\x3c\x1b\x78\x60\xf6\xde\x76\xd4\xce\xcd\x94\xc8\x11\x98\x55\xef\x52\x97\xca\x67\xe9\xf3\xe7\xff\x72\xb1\xe9\x97\x85\xca\x0a\x7e\x77\x20\xc5\xb3\x6d\xc6\xd7\x2c\xac\x95\x74\xc8\xcb\xbc\x2f\x80\x1e\x23\xe5\x6f\xd3\x44\xb0\x7f\x22\x15\x4b\xeb\xa0\xf0\x8c\xe8\x89\x1e\x64\x3e\xd9\x95\xc9\x4d\x9a\x69\xc9\xf1\xb5\xf4\x99\x02\x7a\x78\x57\x2a\xee\xbd\x74\xd2\x0c\xc3\x98\x81\xc2\x13\xee\x77\x0b\x10\x10\xe4\xbe\xa7\x18\x84\x69\x77\xae\x11\x9f\x7a\x02\x3a\xb5\x8c\xca\x0a\xd7\x52\xaf\xe6\x56\xbb\x3c\x17\x25\x6a\x9f\x6e\x9b\xf1\x9f\xdd\x5a\x38\xfc\x82\xbb\xe8\x72\xc5\x53\x9e\xdb\x60\x9e\xf4\xf7\x9c\x20\x3e\xbb\x14\x0f\x2e\x58\x3c\xb2\xad\x15\xb4\xaa\x5b\x65\x50\x16\xa8\x44\x92\x77\xdb\xd4\x77\xef\x2c\x8d\x6c\x01\x7d\xb7\x38\xb1\x8d\xeb\x4a\x42\x7d\x19\x23\xce\x3f\xf2\x62\x73\x57\x79\xa4\x18\xf2\x0a\x28\x2d\xf9\x20\x14\x7b\xea\xbe\x42\x1e\xe5\x31\x9d\x05\x68" - ) - ] - -vectors_aes128_dec = - [] - -vectors_aes256_enc = - [ - ( "\x27\x18\x28\x18\x28\x45\x90\x45\x23\x53\x60\x28\x74\x71\x35\x26\x62\x49\x77\x57\x24\x70\x93\x69\x99\x59\x57\x49\x66\x96\x76\x27" - , "\x31\x41\x59\x26\x53\x58\x97\x93\x23\x84\x62\x64\x33\x83\x27\x95\x02\x88\x41\x97\x16\x93\x99\x37\x51\x05\x82\x09\x74\x94\x45\x92" - , "\xff\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27\x28\x29\x2a\x2b\x2c\x2d\x2e\x2f\x30\x31\x32\x33\x34\x35\x36\x37\x38\x39\x3a\x3b\x3c\x3d\x3e\x3f\x40\x41\x42\x43\x44\x45\x46\x47\x48\x49\x4a\x4b\x4c\x4d\x4e\x4f\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f\x60\x61\x62\x63\x64\x65\x66\x67\x68\x69\x6a\x6b\x6c\x6d\x6e\x6f\x70\x71\x72\x73\x74\x75\x76\x77\x78\x79\x7a\x7b\x7c\x7d\x7e\x7f\x80\x81\x82\x83\x84\x85\x86\x87\x88\x89\x8a\x8b\x8c\x8d\x8e\x8f\x90\x91\x92\x93\x94\x95\x96\x97\x98\x99\x9a\x9b\x9c\x9d\x9e\x9f\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac\xad\xae\xaf\xb0\xb1\xb2\xb3\xb4\xb5\xb6\xb7\xb8\xb9\xba\xbb\xbc\xbd\xbe\xbf\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf\xd0\xd1\xd2\xd3\xd4\xd5\xd6\xd7\xd8\xd9\xda\xdb\xdc\xdd\xde\xdf\xe0\xe1\xe2\xe3\xe4\xe5\xe6\xe7\xe8\xe9\xea\xeb\xec\xed\xee\xef\xf0\xf1\xf2\xf3\xf4\xf5\xf6\xf7\xf8\xf9\xfa\xfb\xfc\xfd\xfe\xff\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27\x28\x29\x2a\x2b\x2c\x2d\x2e\x2f\x30\x31\x32\x33\x34\x35\x36\x37\x38\x39\x3a\x3b\x3c\x3d\x3e\x3f\x40\x41\x42\x43\x44\x45\x46\x47\x48\x49\x4a\x4b\x4c\x4d\x4e\x4f\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f\x60\x61\x62\x63\x64\x65\x66\x67\x68\x69\x6a\x6b\x6c\x6d\x6e\x6f\x70\x71\x72\x73\x74\x75\x76\x77\x78\x79\x7a\x7b\x7c\x7d\x7e\x7f\x80\x81\x82\x83\x84\x85\x86\x87\x88\x89\x8a\x8b\x8c\x8d\x8e\x8f\x90\x91\x92\x93\x94\x95\x96\x97\x98\x99\x9a\x9b\x9c\x9d\x9e\x9f\xa0\xa1\xa2\xa3\xa4\xa5\xa6\xa7\xa8\xa9\xaa\xab\xac\xad\xae\xaf\xb0\xb1\xb2\xb3\xb4\xb5\xb6\xb7\xb8\xb9\xba\xbb\xbc\xbd\xbe\xbf\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb\xcc\xcd\xce\xcf\xd0\xd1\xd2\xd3\xd4\xd5\xd6\xd7\xd8\xd9\xda\xdb\xdc\xdd\xde\xdf\xe0\xe1\xe2\xe3\xe4\xe5\xe6\xe7\xe8\xe9\xea\xeb\xec\xed\xee\xef\xf0\xf1\xf2\xf3\xf4\xf5\xf6\xf7\xf8\xf9\xfa\xfb\xfc\xfd\xfe\xff" - , "" - , "\x1c\x3b\x3a\x10\x2f\x77\x03\x86\xe4\x83\x6c\x99\xe3\x70\xcf\x9b\xea\x00\x80\x3f\x5e\x48\x23\x57\xa4\xae\x12\xd4\x14\xa3\xe6\x3b\x5d\x31\xe2\x76\xf8\xfe\x4a\x8d\x66\xb3\x17\xf9\xac\x68\x3f\x44\x68\x0a\x86\xac\x35\xad\xfc\x33\x45\xbe\xfe\xcb\x4b\xb1\x88\xfd\x57\x76\x92\x6c\x49\xa3\x09\x5e\xb1\x08\xfd\x10\x98\xba\xec\x70\xaa\xa6\x69\x99\xa7\x2a\x82\xf2\x7d\x84\x8b\x21\xd4\xa7\x41\xb0\xc5\xcd\x4d\x5f\xff\x9d\xac\x89\xae\xba\x12\x29\x61\xd0\x3a\x75\x71\x23\xe9\x87\x0f\x8a\xcf\x10\x00\x02\x08\x87\x89\x14\x29\xca\x2a\x3e\x7a\x7d\x7d\xf7\xb1\x03\x55\x16\x5c\x8b\x9a\x6d\x0a\x7d\xe8\xb0\x62\xc4\x50\x0d\xc4\xcd\x12\x0c\x0f\x74\x18\xda\xe3\xd0\xb5\x78\x1c\x34\x80\x3f\xa7\x54\x21\xc7\x90\xdf\xe1\xde\x18\x34\xf2\x80\xd7\x66\x7b\x32\x7f\x6c\x8c\xd7\x55\x7e\x12\xac\x3a\x0f\x93\xec\x05\xc5\x2e\x04\x93\xef\x31\xa1\x2d\x3d\x92\x60\xf7\x9a\x28\x9d\x6a\x37\x9b\xc7\x0c\x50\x84\x14\x73\xd1\xa8\xcc\x81\xec\x58\x3e\x96\x45\xe0\x7b\x8d\x96\x70\x65\x5b\xa5\xbb\xcf\xec\xc6\xdc\x39\x66\x38\x0a\xd8\xfe\xcb\x17\xb6\xba\x02\x46\x9a\x02\x0a\x84\xe1\x8e\x8f\x84\x25\x20\x70\xc1\x3e\x9f\x1f\x28\x9b\xe5\x4f\xbc\x48\x14\x57\x77\x8f\x61\x60\x15\xe1\x32\x7a\x02\xb1\x40\xf1\x50\x5e\xb3\x09\x32\x6d\x68\x37\x8f\x83\x74\x59\x5c\x84\x9d\x84\xf4\xc3\x33\xec\x44\x23\x88\x51\x43\xcb\x47\xbd\x71\xc5\xed\xae\x9b\xe6\x9a\x2f\xfe\xce\xb1\xbe\xc9\xde\x24\x4f\xbe\x15\x99\x2b\x11\xb7\x7c\x04\x0f\x12\xbd\x8f\x6a\x97\x5a\x44\xa0\xf9\x0c\x29\xa9\xab\xc3\xd4\xd8\x93\x92\x72\x84\xc5\x87\x54\xcc\xe2\x94\x52\x9f\x86\x14\xdc\xd2\xab\xa9\x91\x92\x5f\xed\xc4\xae\x74\xff\xac\x6e\x33\x3b\x93\xeb\x4a\xff\x04\x79\xda\x9a\x41\x0e\x44\x50\xe0\xdd\x7a\xe4\xc6\xe2\x91\x09\x00\x57\x5d\xa4\x01\xfc\x07\x05\x9f\x64\x5e\x8b\x7e\x9b\xfd\xef\x33\x94\x30\x54\xff\x84\x01\x14\x93\xc2\x7b\x34\x29\xea\xed\xb4\xed\x53\x76\x44\x1a\x77\xed\x43\x85\x1a\xd7\x7f\x16\xf5\x41\xdf\xd2\x69\xd5\x0d\x6a\x5f\x14\xfb\x0a\xab\x1c\xbb\x4c\x15\x50\xbe\x97\xf7\xab\x40\x66\x19\x3c\x4c\xaa\x77\x3d\xad\x38\x01\x4b\xd2\x09\x2f\xa7\x55\xc8\x24\xbb\x5e\x54\xc4\xf3\x6f\xfd\xa9\xfc\xea\x70\xb9\xc6\xe6\x93\xe1\x48\xc1\x51" - ) - ] - -vectors_aes256_dec = [] diff --git a/tests/KAT_AESGCMSIV.hs b/tests/KAT_AESGCMSIV.hs deleted file mode 100644 --- a/tests/KAT_AESGCMSIV.hs +++ /dev/null @@ -1,494 +0,0 @@ -{-# LANGUAGE FlexibleInstances #-} -{-# LANGUAGE OverloadedStrings #-} -{-# LANGUAGE Rank2Types #-} -{-# LANGUAGE RecordWildCards #-} -module KAT_AESGCMSIV (tests) where - -import Imports - -import Data.Proxy -import qualified Data.ByteArray as B - -import Crypto.Cipher.AES -import Crypto.Cipher.AESGCMSIV -import Crypto.Cipher.Types -import Crypto.Error - -data Vector c = Vector - { vecPlaintext :: ByteString - , vecAAD :: ByteString - , vecKey :: ByteString - , vecNonce :: ByteString - , vecTag :: ByteString - , vecCiphertext :: ByteString - } - -vecCipher :: Cipher c => Vector c -> c -vecCipher = throwCryptoError . cipherInit . vecKey - -vectors128 :: [Vector AES128] -vectors128 = - [ Vector - { vecPlaintext = "" - , vecAAD = "" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\xdc\x20\xe2\xd8\x3f\x25\x70\x5b\xb4\x9e\x43\x9e\xca\x56\xde\x25" - , vecCiphertext = "" - } - , Vector - { vecPlaintext = "\x01\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\x57\x87\x82\xff\xf6\x01\x3b\x81\x5b\x28\x7c\x22\x49\x3a\x36\x4c" - , vecCiphertext = "\xb5\xd8\x39\x33\x0a\xc7\xb7\x86" - } - , Vector - { vecPlaintext = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\xa4\x97\x8d\xb3\x57\x39\x1a\x0b\xc4\xfd\xec\x8b\x0d\x10\x66\x39" - , vecCiphertext = "\x73\x23\xea\x61\xd0\x59\x32\x26\x00\x47\xd9\x42" - } - , Vector - { vecPlaintext = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\x30\x3a\xaf\x90\xf6\xfe\x21\x19\x9c\x60\x68\x57\x74\x37\xa0\xc4" - , vecCiphertext = "\x74\x3f\x7c\x80\x77\xab\x25\xf8\x62\x4e\x2e\x94\x85\x79\xcf\x77" - } - , Vector - { vecPlaintext = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\x1a\x8e\x45\xdc\xd4\x57\x8c\x66\x7c\xd8\x68\x47\xbf\x61\x55\xff" - , vecCiphertext = "\x84\xe0\x7e\x62\xba\x83\xa6\x58\x54\x17\x24\x5d\x7e\xc4\x13\xa9\xfe\x42\x7d\x63\x15\xc0\x9b\x57\xce\x45\xf2\xe3\x93\x6a\x94\x45" - } - , Vector - { vecPlaintext = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\x5e\x6e\x31\x1d\xbf\x39\x5d\x35\xb0\xfe\x39\xc2\x71\x43\x88\xf8" - , vecCiphertext = "\x3f\xd2\x4c\xe1\xf5\xa6\x7b\x75\xbf\x23\x51\xf1\x81\xa4\x75\xc7\xb8\x00\xa5\xb4\xd3\xdc\xf7\x01\x06\xb1\xee\xa8\x2f\xa1\xd6\x4d\xf4\x2b\xf7\x22\x61\x22\xfa\x92\xe1\x7a\x40\xee\xaa\xc1\x20\x1b" - } - , Vector - { vecPlaintext = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\x8a\x26\x3d\xd3\x17\xaa\x88\xd5\x6b\xdf\x39\x36\xdb\xa7\x5b\xb8" - , vecCiphertext = "\x24\x33\x66\x8f\x10\x58\x19\x0f\x6d\x43\xe3\x60\xf4\xf3\x5c\xd8\xe4\x75\x12\x7c\xfc\xa7\x02\x8e\xa8\xab\x5c\x20\xf7\xab\x2a\xf0\x25\x16\xa2\xbd\xcb\xc0\x8d\x52\x1b\xe3\x7f\xf2\x8c\x15\x2b\xba\x36\x69\x7f\x25\xb4\xcd\x16\x9c\x65\x90\xd1\xdd\x39\x56\x6d\x3f" - } - , Vector - { vecPlaintext = "\x02\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "\x01" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\x3b\x0a\x1a\x25\x60\x96\x9c\xdf\x79\x0d\x99\x75\x9a\xbd\x15\x08" - , vecCiphertext = "\x1e\x6d\xab\xa3\x56\x69\xf4\x27" - } - , Vector - { vecPlaintext = "\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "\x01" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\x08\x29\x9c\x51\x02\x74\x5a\xaa\x3a\x0c\x46\x9f\xad\x9e\x07\x5a" - , vecCiphertext = "\x29\x6c\x78\x89\xfd\x99\xf4\x19\x17\xf4\x46\x20" - } - , Vector - { vecPlaintext = "\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "\x01" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\x8f\x89\x36\xec\x03\x9e\x4e\x4b\xb9\x7e\xbd\x8c\x44\x57\x44\x1f" - , vecCiphertext = "\xe2\xb0\xc5\xda\x79\xa9\x01\xc1\x74\x5f\x70\x05\x25\xcb\x33\x5b" - } - , Vector - { vecPlaintext = "\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "\x01" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\xe6\xaf\x6a\x7f\x87\x28\x7d\xa0\x59\xa7\x16\x84\xed\x34\x98\xe1" - , vecCiphertext = "\x62\x00\x48\xef\x3c\x1e\x73\xe5\x7e\x02\xbb\x85\x62\xc4\x16\xa3\x19\xe7\x3e\x4c\xaa\xc8\xe9\x6a\x1e\xcb\x29\x33\x14\x5a\x1d\x71" - } - , Vector - { vecPlaintext = "\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "\x01" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\x6a\x8c\xc3\x86\x5f\x76\x89\x7c\x2e\x4b\x24\x5c\xf3\x1c\x51\xf2" - , vecCiphertext = "\x50\xc8\x30\x3e\xa9\x39\x25\xd6\x40\x90\xd0\x7b\xd1\x09\xdf\xd9\x51\x5a\x5a\x33\x43\x10\x19\xc1\x7d\x93\x46\x59\x99\xa8\xb0\x05\x32\x01\xd7\x23\x12\x0a\x85\x62\xb8\x38\xcd\xff\x25\xbf\x9d\x1e" - } - , Vector - { vecPlaintext = "\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x05\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "\x01" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\xcd\xc4\x6a\xe4\x75\x56\x3d\xe0\x37\x00\x1e\xf8\x4a\xe2\x17\x44" - , vecCiphertext = "\x2f\x5c\x64\x05\x9d\xb5\x5e\xe0\xfb\x84\x7e\xd5\x13\x00\x37\x46\xac\xa4\xe6\x1c\x71\x1b\x5d\xe2\xe7\xa7\x7f\xfd\x02\xda\x42\xfe\xec\x60\x19\x10\xd3\x46\x7b\xb8\xb3\x6e\xbb\xae\xbc\xe5\xfb\xa3\x0d\x36\xc9\x5f\x48\xa3\xe7\x98\x0f\x0e\x7a\xc2\x99\x33\x2a\x80" - } - , Vector - { vecPlaintext = "\x02\x00\x00\x00" - , vecAAD = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\x07\xeb\x1f\x84\xfb\x28\xf8\xcb\x73\xde\x8e\x99\xe2\xf4\x8a\x14" - , vecCiphertext = "\xa8\xfe\x3e\x87" - } - , Vector - { vecPlaintext = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00\x00\x00" - , vecAAD = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\x24\xaf\xc9\x80\x5e\x97\x6f\x45\x1e\x6d\x87\xf6\xfe\x10\x65\x14" - , vecCiphertext = "\x6b\xb0\xfe\xcf\x5d\xed\x9b\x77\xf9\x02\xc7\xd5\xda\x23\x6a\x43\x91\xdd\x02\x97" - } - , Vector - { vecPlaintext = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00" - , vecAAD = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00\x00\x00" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\xbf\xf9\xb2\xef\x00\xfb\x47\x92\x0c\xc7\x2a\x0c\x0f\x13\xb9\xfd" - , vecCiphertext = "\x44\xd0\xaa\xf6\xfb\x2f\x1f\x34\xad\xd5\xe8\x06\x4e\x83\xe1\x2a\x2a\xda" - } - , Vector - { vecPlaintext = "" - , vecAAD = "" - , vecKey = "\xe6\x60\x21\xd5\xeb\x8e\x4f\x40\x66\xd4\xad\xb9\xc3\x35\x60\xe4" - , vecNonce = "\xf4\x6e\x44\xbb\x3d\xa0\x01\x5c\x94\xf7\x08\x87" - , vecTag = "\xa4\x19\x4b\x79\x07\x1b\x01\xa8\x7d\x65\xf7\x06\xe3\x94\x95\x78" - , vecCiphertext = "" - } - , Vector - { vecPlaintext = "\x7a\x80\x6c" - , vecAAD = "\x46\xbb\x91\xc3\xc5" - , vecKey = "\x36\x86\x42\x00\xe0\xea\xf5\x28\x4d\x88\x4a\x0e\x77\xd3\x16\x46" - , vecNonce = "\xba\xe8\xe3\x7f\xc8\x34\x41\xb1\x60\x34\x56\x6b" - , vecTag = "\x71\x1b\xd8\x5b\xc1\xe4\xd3\xe0\xa4\x62\xe0\x74\xee\xa4\x28\xa8" - , vecCiphertext = "\xaf\x60\xeb" - } - , Vector - { vecPlaintext = "\xbd\xc6\x6f\x14\x65\x45" - , vecAAD = "\xfc\x88\x0c\x94\xa9\x51\x98\x87\x42\x96" - , vecKey = "\xae\xdb\x64\xa6\xc5\x90\xbc\x84\xd1\xa5\xe2\x69\xe4\xb4\x78\x01" - , vecNonce = "\xaf\xc0\x57\x7e\x34\x69\x9b\x9e\x67\x1f\xdd\x4f" - , vecTag = "\xd6\xa9\xc4\x55\x45\xcf\xc1\x1f\x03\xad\x74\x3d\xba\x20\xf9\x66" - , vecCiphertext = "\xbb\x93\xa3\xe3\x4d\x3c" - } - , Vector - { vecPlaintext = "\x11\x77\x44\x1f\x19\x54\x95\x86\x0f" - , vecAAD = "\x04\x67\x87\xf3\xea\x22\xc1\x27\xaa\xf1\x95\xd1\x89\x47\x28" - , vecKey = "\xd5\xcc\x1f\xd1\x61\x32\x0b\x69\x20\xce\x07\x78\x7f\x86\x74\x3b" - , vecNonce = "\x27\x5d\x1a\xb3\x2f\x6d\x1f\x04\x34\xd8\x84\x8c" - , vecTag = "\x1d\x02\xfd\x0c\xd1\x74\xc8\x4f\xc5\xda\xe2\xf6\x0f\x52\xfd\x2b" - , vecCiphertext = "\x4f\x37\x28\x1f\x7a\xd1\x29\x49\xd0" - } - , Vector - { vecPlaintext = "\x9f\x57\x2c\x61\x4b\x47\x45\x91\x44\x74\xe7\xc7" - , vecAAD = "\xc9\x88\x2e\x53\x86\xfd\x9f\x92\xec\x48\x9c\x8f\xde\x2b\xe2\xcf\x97\xe7\x4e\x93" - , vecKey = "\xb3\xfe\xd1\x47\x3c\x52\x8b\x84\x26\xa5\x82\x99\x59\x29\xa1\x49" - , vecNonce = "\x9e\x9a\xd8\x78\x0c\x8d\x63\xd0\xab\x41\x49\xc0" - , vecTag = "\xc1\xdc\x2f\x87\x1f\xb7\x56\x1d\xa1\x28\x6e\x65\x5e\x24\xb7\xb0" - , vecCiphertext = "\xf5\x46\x73\xc5\xdd\xf7\x10\xc7\x45\x64\x1c\x8b" - } - , Vector - { vecPlaintext = "\x0d\x8c\x84\x51\x17\x80\x82\x35\x5c\x9e\x94\x0f\xea\x2f\x58" - , vecAAD = "\x29\x50\xa7\x0d\x5a\x1d\xb2\x31\x6f\xd5\x68\x37\x8d\xa1\x07\xb5\x2b\x0d\xa5\x52\x10\xcc\x1c\x1b\x0a" - , vecKey = "\x2d\x4e\xd8\x7d\xa4\x41\x02\x95\x2e\xf9\x4b\x02\xb8\x05\x24\x9b" - , vecNonce = "\xac\x80\xe6\xf6\x14\x55\xbf\xac\x83\x08\xa2\xd4" - , vecTag = "\x83\xb3\x44\x9b\x9f\x39\x55\x2d\xe9\x9d\xc2\x14\xa1\x19\x0b\x0b" - , vecCiphertext = "\xc9\xff\x54\x5e\x07\xb8\x8a\x01\x5f\x05\xb2\x74\x54\x0a\xa1" - } - , Vector - { vecPlaintext = "\x6b\x3d\xb4\xda\x3d\x57\xaa\x94\x84\x2b\x98\x03\xa9\x6e\x07\xfb\x6d\xe7" - , vecAAD = "\x18\x60\xf7\x62\xeb\xfb\xd0\x82\x84\xe4\x21\x70\x2d\xe0\xde\x18\xba\xa9\xc9\x59\x62\x91\xb0\x84\x66\xf3\x7d\xe2\x1c\x7f" - , vecKey = "\xbd\xe3\xb2\xf2\x04\xd1\xe9\xf8\xb0\x6b\xc4\x7f\x97\x45\xb3\xd1" - , vecNonce = "\xae\x06\x55\x6f\xb6\xaa\x78\x90\xbe\xbc\x18\xfe" - , vecTag = "\x3e\x37\x70\x94\xf0\x47\x09\xf6\x4d\x7b\x98\x53\x10\xa4\xdb\x84" - , vecCiphertext = "\x62\x98\xb2\x96\xe2\x4e\x8c\xc3\x5d\xce\x0b\xed\x48\x4b\x7f\x30\xd5\x80" - } - , Vector - { vecPlaintext = "\xe4\x2a\x3c\x02\xc2\x5b\x64\x86\x9e\x14\x6d\x7b\x23\x39\x87\xbd\xdf\xc2\x40\x87\x1d" - , vecAAD = "\x75\x76\xf7\x02\x8e\xc6\xeb\x5e\xa7\xe2\x98\x34\x2a\x94\xd4\xb2\x02\xb3\x70\xef\x97\x68\xec\x65\x61\xc4\xfe\x6b\x7e\x72\x96\xfa\x85\x9c\x21" - , vecKey = "\xf9\x01\xcf\xe8\xa6\x96\x15\xa9\x3f\xdf\x7a\x98\xca\xd4\x81\x79" - , vecNonce = "\x62\x45\x70\x9f\xb1\x88\x53\xf6\x8d\x83\x36\x40" - , vecTag = "\x2d\x15\x50\x6c\x84\xa9\xed\xd6\x5e\x13\xe9\xd2\x4a\x2a\x6e\x70" - , vecCiphertext = "\x39\x1c\xc3\x28\xd4\x84\xa4\xf4\x64\x06\x18\x1b\xcd\x62\xef\xd9\xb3\xee\x19\x7d\x05" - } - ] - -vectors256 :: [Vector AES256] -vectors256 = - [ Vector - { vecPlaintext = "" - , vecAAD = "" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\x07\xf5\xf4\x16\x9b\xbf\x55\xa8\x40\x0c\xd4\x7e\xa6\xfd\x40\x0f" - , vecCiphertext = "" - } - , Vector - { vecPlaintext = "\x01\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\x84\x31\x22\x13\x0f\x73\x64\xb7\x61\xe0\xb9\x74\x27\xe3\xdf\x28" - , vecCiphertext = "\xc2\xef\x32\x8e\x5c\x71\xc8\x3b" - } - , Vector - { vecPlaintext = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\x8c\xa5\x0d\xa9\xae\x65\x59\xe4\x8f\xd1\x0f\x6e\x5c\x9c\xa1\x7e" - , vecCiphertext = "\x9a\xab\x2a\xeb\x3f\xaa\x0a\x34\xae\xa8\xe2\xb1" - } - , Vector - { vecPlaintext = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\xc9\xea\xc6\xfa\x70\x09\x42\x70\x2e\x90\x86\x23\x83\xc6\xc3\x66" - , vecCiphertext = "\x85\xa0\x1b\x63\x02\x5b\xa1\x9b\x7f\xd3\xdd\xfc\x03\x3b\x3e\x76" - } - , Vector - { vecPlaintext = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\xe8\x19\xe6\x3a\xbc\xd0\x20\xb0\x06\xa9\x76\x39\x76\x32\xeb\x5d" - , vecCiphertext = "\x4a\x6a\x9d\xb4\xc8\xc6\x54\x92\x01\xb9\xed\xb5\x30\x06\xcb\xa8\x21\xec\x9c\xf8\x50\x94\x8a\x7c\x86\xc6\x8a\xc7\x53\x9d\x02\x7f" - } - , Vector - { vecPlaintext = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\x79\x0b\xc9\x68\x80\xa9\x9b\xa8\x04\xbd\x12\xc0\xe6\xa2\x2c\xc4" - , vecCiphertext = "\xc0\x0d\x12\x18\x93\xa9\xfa\x60\x3f\x48\xcc\xc1\xca\x3c\x57\xce\x74\x99\x24\x5e\xa0\x04\x6d\xb1\x6c\x53\xc7\xc6\x6f\xe7\x17\xe3\x9c\xf6\xc7\x48\x83\x7b\x61\xf6\xee\x3a\xdc\xee\x17\x53\x4e\xd5" - } - , Vector - { vecPlaintext = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\x11\x28\x64\xc2\x69\xfc\x0d\x9d\x88\xc6\x1f\xa4\x7e\x39\xaa\x08" - , vecCiphertext = "\xc2\xd5\x16\x0a\x1f\x86\x83\x83\x49\x10\xac\xda\xfc\x41\xfb\xb1\x63\x2d\x4a\x35\x3e\x8b\x90\x5e\xc9\xa5\x49\x9a\xc3\x4f\x96\xc7\xe1\x04\x9e\xb0\x80\x88\x38\x91\xa4\xdb\x8c\xaa\xa1\xf9\x9d\xd0\x04\xd8\x04\x87\x54\x07\x35\x23\x4e\x37\x44\x51\x2c\x6f\x90\xce" - } - , Vector - { vecPlaintext = "\x02\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "\x01" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\x91\x21\x3f\x26\x7e\x3b\x45\x2f\x02\xd0\x1a\xe3\x3e\x4e\xc8\x54" - , vecCiphertext = "\x1d\xe2\x29\x67\x23\x7a\x81\x32" - } - , Vector - { vecPlaintext = "\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "\x01" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\xc1\xa4\xa1\x9a\xe8\x00\x94\x1c\xcd\xc5\x7c\xc8\x41\x3c\x27\x7f" - , vecCiphertext = "\x16\x3d\x6f\x9c\xc1\xb3\x46\xcd\x45\x3a\x2e\x4c" - } - , Vector - { vecPlaintext = "\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "\x01" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\xb2\x92\xd2\x8f\xf6\x11\x89\xe8\xe4\x9f\x38\x75\xef\x91\xaf\xf7" - , vecCiphertext = "\xc9\x15\x45\x82\x3c\xc2\x4f\x17\xdb\xb0\xe9\xe8\x07\xd5\xec\x17" - } - , Vector - { vecPlaintext = "\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "\x01" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\xae\xa1\xba\xd1\x27\x02\xe1\x96\x56\x04\x37\x4a\xab\x96\xdb\xbc" - , vecCiphertext = "\x07\xda\xd3\x64\xbf\xc2\xb9\xda\x89\x11\x6d\x7b\xef\x6d\xaa\xaf\x6f\x25\x55\x10\xaa\x65\x4f\x92\x0a\xc8\x1b\x94\xe8\xba\xd3\x65" - } - , Vector - { vecPlaintext = "\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "\x01" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\x03\x33\x27\x42\xb2\x28\xc6\x47\x17\x36\x16\xcf\xd4\x4c\x54\xeb" - , vecCiphertext = "\xc6\x7a\x1f\x0f\x56\x7a\x51\x98\xaa\x1f\xcc\x8e\x3f\x21\x31\x43\x36\xf7\xf5\x1c\xa8\xb1\xaf\x61\xfe\xac\x35\xa8\x64\x16\xfa\x47\xfb\xca\x3b\x5f\x74\x9c\xdf\x56\x45\x27\xf2\x31\x4f\x42\xfe\x25" - } - , Vector - { vecPlaintext = "\x02\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x05\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "\x01" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\x5b\xde\x02\x85\x03\x7c\x5d\xe8\x1e\x5b\x57\x0a\x04\x9b\x62\xa0" - , vecCiphertext = "\x67\xfd\x45\xe1\x26\xbf\xb9\xa7\x99\x30\xc4\x3a\xad\x2d\x36\x96\x7d\x3f\x0e\x4d\x21\x7c\x1e\x55\x1f\x59\x72\x78\x70\xbe\xef\xc9\x8c\xb9\x33\xa8\xfc\xe9\xde\x88\x7b\x1e\x40\x79\x99\x88\xdb\x1f\xc3\xf9\x18\x80\xed\x40\x5b\x2d\xd2\x98\x31\x88\x58\x46\x7c\x89" - } - , Vector - { vecPlaintext = "\x02\x00\x00\x00" - , vecAAD = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\x18\x35\xe5\x17\x74\x1d\xfd\xdc\xcf\xa0\x7f\xa4\x66\x1b\x74\xcf" - , vecCiphertext = "\x22\xb3\xf4\xcd" - } - , Vector - { vecPlaintext = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00\x00\x00" - , vecAAD = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\xb8\x79\xad\x97\x6d\x82\x42\xac\xc1\x88\xab\x59\xca\xbf\xe3\x07" - , vecCiphertext = "\x43\xdd\x01\x63\xcd\xb4\x8f\x9f\xe3\x21\x2b\xf6\x1b\x20\x19\x76\x06\x7f\x34\x2b" - } - , Vector - { vecPlaintext = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00" - , vecAAD = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00\x00\x00" - , vecKey = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\xcf\xcd\xf5\x04\x21\x12\xaa\x29\x68\x5c\x91\x2f\xc2\x05\x65\x43" - , vecCiphertext = "\x46\x24\x01\x72\x4b\x5c\xe6\x58\x8d\x5a\x54\xaa\xe5\x37\x55\x13\xa0\x75" - } - , Vector - { vecPlaintext = "" - , vecAAD = "" - , vecKey = "\xe6\x60\x21\xd5\xeb\x8e\x4f\x40\x66\xd4\xad\xb9\xc3\x35\x60\xe4\xf4\x6e\x44\xbb\x3d\xa0\x01\x5c\x94\xf7\x08\x87\x36\x86\x42\x00" - , vecNonce = "\xe0\xea\xf5\x28\x4d\x88\x4a\x0e\x77\xd3\x16\x46" - , vecTag = "\x16\x9f\xbb\x2f\xbf\x38\x9a\x99\x5f\x63\x90\xaf\x22\x22\x8a\x62" - , vecCiphertext = "" - } - , Vector - { vecPlaintext = "\x67\x1f\xdd" - , vecAAD = "\x4f\xbd\xc6\x6f\x14" - , vecKey = "\xba\xe8\xe3\x7f\xc8\x34\x41\xb1\x60\x34\x56\x6b\x7a\x80\x6c\x46\xbb\x91\xc3\xc5\xae\xdb\x64\xa6\xc5\x90\xbc\x84\xd1\xa5\xe2\x69" - , vecNonce = "\xe4\xb4\x78\x01\xaf\xc0\x57\x7e\x34\x69\x9b\x9e" - , vecTag = "\x93\xda\x9b\xb8\x13\x33\xae\xe0\xc7\x85\xb2\x40\xd3\x19\x71\x9d" - , vecCiphertext = "\x0e\xac\xcb" - } - , Vector - { vecPlaintext = "\x19\x54\x95\x86\x0f\x04" - , vecAAD = "\x67\x87\xf3\xea\x22\xc1\x27\xaa\xf1\x95" - , vecKey = "\x65\x45\xfc\x88\x0c\x94\xa9\x51\x98\x87\x42\x96\xd5\xcc\x1f\xd1\x61\x32\x0b\x69\x20\xce\x07\x78\x7f\x86\x74\x3b\x27\x5d\x1a\xb3" - , vecNonce = "\x2f\x6d\x1f\x04\x34\xd8\x84\x8c\x11\x77\x44\x1f" - , vecTag = "\x6b\x62\xb8\x4d\xc4\x0c\x84\x63\x6a\x5e\xc1\x20\x20\xec\x8c\x2c" - , vecCiphertext = "\xa2\x54\xda\xd4\xf3\xf9" - } - , Vector - { vecPlaintext = "\xc9\x88\x2e\x53\x86\xfd\x9f\x92\xec" - , vecAAD = "\x48\x9c\x8f\xde\x2b\xe2\xcf\x97\xe7\x4e\x93\x2d\x4e\xd8\x7d" - , vecKey = "\xd1\x89\x47\x28\xb3\xfe\xd1\x47\x3c\x52\x8b\x84\x26\xa5\x82\x99\x59\x29\xa1\x49\x9e\x9a\xd8\x78\x0c\x8d\x63\xd0\xab\x41\x49\xc0" - , vecNonce = "\x9f\x57\x2c\x61\x4b\x47\x45\x91\x44\x74\xe7\xc7" - , vecTag = "\xc0\xfd\x3d\xc6\x62\x8d\xfe\x55\xeb\xb0\xb9\xfb\x22\x95\xc8\xc2" - , vecCiphertext = "\x0d\xf9\xe3\x08\x67\x82\x44\xc4\x4b" - } - , Vector - { vecPlaintext = "\x1d\xb2\x31\x6f\xd5\x68\x37\x8d\xa1\x07\xb5\x2b" - , vecAAD = "\x0d\xa5\x52\x10\xcc\x1c\x1b\x0a\xbd\xe3\xb2\xf2\x04\xd1\xe9\xf8\xb0\x6b\xc4\x7f" - , vecKey = "\xa4\x41\x02\x95\x2e\xf9\x4b\x02\xb8\x05\x24\x9b\xac\x80\xe6\xf6\x14\x55\xbf\xac\x83\x08\xa2\xd4\x0d\x8c\x84\x51\x17\x80\x82\x35" - , vecNonce = "\x5c\x9e\x94\x0f\xea\x2f\x58\x29\x50\xa7\x0d\x5a" - , vecTag = "\x40\x40\x99\xc2\x58\x7f\x64\x97\x9f\x21\x82\x67\x06\xd4\x97\xd5" - , vecCiphertext = "\x8d\xbe\xb9\xf7\x25\x5b\xf5\x76\x9d\xd5\x66\x92" - } - , Vector - { vecPlaintext = "\x21\x70\x2d\xe0\xde\x18\xba\xa9\xc9\x59\x62\x91\xb0\x84\x66" - , vecAAD = "\xf3\x7d\xe2\x1c\x7f\xf9\x01\xcf\xe8\xa6\x96\x15\xa9\x3f\xdf\x7a\x98\xca\xd4\x81\x79\x62\x45\x70\x9f" - , vecKey = "\x97\x45\xb3\xd1\xae\x06\x55\x6f\xb6\xaa\x78\x90\xbe\xbc\x18\xfe\x6b\x3d\xb4\xda\x3d\x57\xaa\x94\x84\x2b\x98\x03\xa9\x6e\x07\xfb" - , vecNonce = "\x6d\xe7\x18\x60\xf7\x62\xeb\xfb\xd0\x82\x84\xe4" - , vecTag = "\xb3\x08\x0d\x28\xf6\xeb\xb5\xd3\x64\x8c\xe9\x7b\xd5\xba\x67\xfd" - , vecCiphertext = "\x79\x35\x76\xdf\xa5\xc0\xf8\x87\x29\xa7\xed\x3c\x2f\x1b\xff" - } - , Vector - { vecPlaintext = "\xb2\x02\xb3\x70\xef\x97\x68\xec\x65\x61\xc4\xfe\x6b\x7e\x72\x96\xfa\x85" - , vecAAD = "\x9c\x21\x59\x05\x8b\x1f\x0f\xe9\x14\x33\xa5\xbd\xc2\x0e\x21\x4e\xab\x7f\xec\xef\x44\x54\xa1\x0e\xf0\x65\x7d\xf2\x1a\xc7" - , vecKey = "\xb1\x88\x53\xf6\x8d\x83\x36\x40\xe4\x2a\x3c\x02\xc2\x5b\x64\x86\x9e\x14\x6d\x7b\x23\x39\x87\xbd\xdf\xc2\x40\x87\x1d\x75\x76\xf7" - , vecNonce = "\x02\x8e\xc6\xeb\x5e\xa7\xe2\x98\x34\x2a\x94\xd4" - , vecTag = "\x45\x4f\xc2\xa1\x54\xfe\xa9\x1f\x83\x63\xa3\x9f\xec\x7d\x0a\x49" - , vecCiphertext = "\x85\x7e\x16\xa6\x49\x15\xa7\x87\x63\x76\x87\xdb\x4a\x95\x19\x63\x5c\xdd" - } - , Vector - { vecPlaintext = "\xce\xd5\x32\xce\x41\x59\xb0\x35\x27\x7d\x4d\xfb\xb7\xdb\x62\x96\x8b\x13\xcd\x4e\xec" - , vecAAD = "\x73\x43\x20\xcc\xc9\xd9\xbb\xbb\x19\xcb\x81\xb2\xaf\x4e\xcb\xc3\xe7\x28\x34\x32\x1f\x7a\xa0\xf7\x0b\x72\x82\xb4\xf3\x3d\xf2\x3f\x16\x75\x41" - , vecKey = "\x3c\x53\x5d\xe1\x92\xea\xed\x38\x22\xa2\xfb\xbe\x2c\xa9\xdf\xc8\x82\x55\xe1\x4a\x66\x1b\x8a\xa8\x2c\xc5\x42\x36\x09\x3b\xbc\x23" - , vecNonce = "\x68\x80\x89\xe5\x55\x40\xdb\x18\x72\x50\x4e\x1c" - , vecTag = "\x9d\x6c\x70\x29\x67\x5b\x89\xea\xf4\xba\x1d\xed\x1a\x28\x65\x94" - , vecCiphertext = "\x62\x66\x60\xc2\x6e\xa6\x61\x2f\xb1\x7a\xd9\x1e\x8e\x76\x76\x39\xed\xd6\xc9\xfa\xee" - } - ] - -vectorsWrap256 :: [Vector AES256] -vectorsWrap256 = - [ Vector - { vecPlaintext = "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x4d\xb9\x23\xdc\x79\x3e\xe6\x49\x7c\x76\xdc\xc0\x3a\x98\xe1\x08" - , vecAAD = "" - , vecKey = "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\xff\xff\xff\xff\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecCiphertext = "\xf3\xf8\x0f\x2c\xf0\xcb\x2d\xd9\xc5\x98\x4f\xcd\xa9\x08\x45\x6c\xc5\x37\x70\x3b\x5b\xa7\x03\x24\xa6\x79\x3a\x7b\xf2\x18\xd3\xea" - } - , Vector - { vecPlaintext = "\xeb\x36\x40\x27\x7c\x7f\xfd\x13\x03\xc7\xa5\x42\xd0\x2d\x3e\x4c\x00\x00\x00\x00\x00\x00\x00\x00" - , vecAAD = "" - , vecKey = "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecNonce = "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecTag = "\xff\xff\xff\xff\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" - , vecCiphertext = "\x18\xce\x4f\x0b\x8c\xb4\xd0\xca\xc6\x5f\xea\x8f\x79\x25\x7b\x20\x88\x8e\x53\xe7\x22\x99\xe5\x6d" - } - ] - -makeEncryptionTest :: BlockCipher128 aes => Int -> Vector aes -> TestTree -makeEncryptionTest i vec@Vector{..} = - testCase (show i) $ - (t, vecCiphertext) @=? encrypt (vecCipher vec) n vecAAD vecPlaintext - where t = AuthTag (B.convert vecTag) - n = throwCryptoError (nonce vecNonce) - -makeDecryptionTest :: BlockCipher128 aes => Int -> Vector aes -> TestTree -makeDecryptionTest i vec@Vector{..} = - testCase (show i) $ - Just vecPlaintext @=? decrypt (vecCipher vec) n vecAAD vecCiphertext t - where t = AuthTag (B.convert vecTag) - n = throwCryptoError (nonce vecNonce) - -katTests :: TestName - -> (forall c . BlockCipher128 c => Int -> Vector c -> TestTree) - -> TestTree -katTests name makeTest = testGroup name - [ testGroup "AES128" $ zipWith makeTest [1..] vectors128 - , testGroup "AES256" $ zipWith makeTest [1..] vectors256 - , testGroup "CounterWrap" $ zipWith makeTest [1..] vectorsWrap256 - ] - -newtype Key c = Key ByteString - deriving (Show,Eq) - -instance Arbitrary (Key AES128) where - arbitrary = Key <$> arbitraryBS 16 - -instance Arbitrary (Key AES256) where - arbitrary = Key <$> arbitraryBS 32 - -instance Arbitrary Nonce where - arbitrary = throwCryptoError . nonce <$> arbitraryBS 12 - -encDecTest :: BlockCipher128 c - => Proxy c -> Key c -> Nonce - -> ArbitraryBS0_2901 -> ArbitraryBS0_2901 -> Property -encDecTest prx (Key key) iv (ArbitraryBS0_2901 aad) (ArbitraryBS0_2901 input) = - let c = throwCryptoError (cipherInit key) `asProxyTypeOf` prx - (tag, ciphertext) = encrypt c iv aad input - in decrypt c iv aad ciphertext tag === Just input - -tests :: TestTree -tests = testGroup "AES-GCM-SIV" - [ testGroup "KATs" - [ katTests "encrypt" makeEncryptionTest - , katTests "decrypt" makeDecryptionTest - ] - , testGroup "properties" - [ testProperty "AES128" $ encDecTest (Proxy :: Proxy AES128) - , testProperty "AES256" $ encDecTest (Proxy :: Proxy AES256) - ] - ] diff --git a/tests/KAT_AFIS.hs b/tests/KAT_AFIS.hs deleted file mode 100644 --- a/tests/KAT_AFIS.hs +++ /dev/null @@ -1,44 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -{-# LANGUAGE ExistentialQuantification #-} -module KAT_AFIS (tests) where - -import Imports - -import Crypto.Hash -import Crypto.Random -import qualified Crypto.Data.AFIS as AFIS -import qualified Data.ByteString as B - -mergeVec :: [ (Int, SHA1, B.ByteString, B.ByteString) ] -mergeVec = - [ (3 - , SHA1 - , "\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02\x02" - , "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\xd4\x76\xc8\x58\xbd\xf0\x15\xbe\x9f\x40\xe3\x65\x20\x1c\x9c\xb8\xd8\x1c\x16\x64" - ) - , (3 - , SHA1 - , "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17" - , "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\xd6\x75\xc8\x59\xbb\xf7\x11\xbb\x95\x4b\xeb\x6c\x2e\x13\x90\xb5\xca\x0f\x06\x75\x17\x70\x39\x28" - ) - ] - -mergeKATs = zipWith toProp mergeVec [(0 :: Int)..] - where toProp (nbExpands, hashAlg, expected, dat) i = - testCase ("merge " ++ show i) (expected @=? AFIS.merge hashAlg nbExpands dat) - -data AFISParams = AFISParams B.ByteString Int SHA1 ChaChaDRG - -instance Show AFISParams where - show (AFISParams dat expand _ _) = "data: " ++ show dat ++ " expanded: " ++ show expand - -instance Arbitrary AFISParams where - arbitrary = AFISParams <$> arbitraryBSof 3 46 <*> choose (2,2) <*> elements [SHA1] <*> arbitrary - -instance Arbitrary ChaChaDRG where - arbitrary = drgNewTest <$> arbitrary - -tests = testGroup "AFIS" - [ testGroup "KAT merge" mergeKATs - , testProperty "merge.split == id" $ \(AFISParams bs e hf rng) -> bs == (AFIS.merge hf e $ fst (AFIS.split hf rng e bs)) - ] diff --git a/tests/KAT_Argon2.hs b/tests/KAT_Argon2.hs deleted file mode 100644 --- a/tests/KAT_Argon2.hs +++ /dev/null @@ -1,42 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_Argon2 (tests) where - -import Crypto.Error -import qualified Crypto.KDF.Argon2 as Argon2 -import qualified Data.ByteString as B -import Imports - -data KDFVector = KDFVector - { kdfPass :: ByteString - , kdfSalt :: ByteString - , kdfOptions :: Argon2.Options - , kdfResult :: ByteString - } - -argon2i_13 :: Argon2.TimeCost -> Argon2.MemoryCost -> Argon2.Options -argon2i_13 iters memory = Argon2.Options - { Argon2.iterations = iters - , Argon2.memory = memory - , Argon2.parallelism = 1 - , Argon2.variant = Argon2.Argon2i - , Argon2.version = Argon2.Version13 - } - -vectors = - [ KDFVector "password" "somesalt" (argon2i_13 2 65536) - "\xc1\x62\x88\x32\x14\x7d\x97\x20\xc5\xbd\x1c\xfd\x61\x36\x70\x78\x72\x9f\x6d\xfb\x6f\x8f\xea\x9f\xf9\x81\x58\xe0\xd7\x81\x6e\xd0" - ] - -kdfTests :: [TestTree] -kdfTests = zipWith toKDFTest is vectors - where - toKDFTest i v = - testCase (show i) - (CryptoPassed (kdfResult v) @=? Argon2.hash (kdfOptions v) (kdfPass v) (kdfSalt v) (B.length $ kdfResult v)) - - is :: [Int] - is = [1..] - -tests = testGroup "Argon2" - [ testGroup "KATs" kdfTests - ] diff --git a/tests/KAT_Blake2.hs b/tests/KAT_Blake2.hs deleted file mode 100644 --- a/tests/KAT_Blake2.hs +++ /dev/null @@ -1,166 +0,0 @@ -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE OverloadedStrings #-} -{-# LANGUAGE RecordWildCards #-} -module KAT_Blake2 (tests) where - -import Crypto.Hash (digestFromByteString) -import Crypto.Hash.Algorithms -import qualified Crypto.MAC.KeyedBlake2 as KB - -import qualified Data.ByteString as B - -import Imports - - -data MACVector hash = MACVector - { macMessage :: ByteString - , macKey :: ByteString - , macResult :: KB.KeyedBlake2 hash - } - -instance Show (KB.KeyedBlake2 hash) where - show (KB.KeyedBlake2 d) = show d - -digest :: KB.HashBlake2 hash => ByteString -> KB.KeyedBlake2 hash -digest = maybe (error "cannot get digest") KB.KeyedBlake2 . digestFromByteString - - --- From: https://github.com/BLAKE2/BLAKE2/blob/master/testvectors/ -vectorsBlake2bKAT :: [MACVector (Blake2b 512)] -vectorsBlake2bKAT = - [ MACVector - { macMessage = "" - , macKey = fixedKey - , macResult = digest "\x10\xeb\xb6\x77\x00\xb1\x86\x8e\xfb\x44\x17\x98\x7a\xcf\x46\x90\xae\x9d\x97\x2f\xb7\xa5\x90\xc2\xf0\x28\x71\x79\x9a\xaa\x47\x86\xb5\xe9\x96\xe8\xf0\xf4\xeb\x98\x1f\xc2\x14\xb0\x05\xf4\x2d\x2f\xf4\x23\x34\x99\x39\x16\x53\xdf\x7a\xef\xcb\xc1\x3f\xc5\x15\x68" - } - , MACVector - { macMessage = "\x00" - , macKey = fixedKey - , macResult = digest "\x96\x1f\x6d\xd1\xe4\xdd\x30\xf6\x39\x01\x69\x0c\x51\x2e\x78\xe4\xb4\x5e\x47\x42\xed\x19\x7c\x3c\x5e\x45\xc5\x49\xfd\x25\xf2\xe4\x18\x7b\x0b\xc9\xfe\x30\x49\x2b\x16\xb0\xd0\xbc\x4e\xf9\xb0\xf3\x4c\x70\x03\xfa\xc0\x9a\x5e\xf1\x53\x2e\x69\x43\x02\x34\xce\xbd" - } - , MACVector - { macMessage = B.pack [ 0x00 .. 0xfe ] - , macKey = fixedKey - , macResult = digest "\x14\x27\x09\xd6\x2e\x28\xfc\xcc\xd0\xaf\x97\xfa\xd0\xf8\x46\x5b\x97\x1e\x82\x20\x1d\xc5\x10\x70\xfa\xa0\x37\x2a\xa4\x3e\x92\x48\x4b\xe1\xc1\xe7\x3b\xa1\x09\x06\xd5\xd1\x85\x3d\xb6\xa4\x10\x6e\x0a\x7b\xf9\x80\x0d\x37\x3d\x6d\xee\x2d\x46\xd6\x2e\xf2\xa4\x61" - } - ] - where fixedKey = B.pack [ 0x00 .. 0x3f ] - -vectorsBlake2bpKAT :: [MACVector (Blake2bp 512)] -vectorsBlake2bpKAT = - [ MACVector - { macMessage = "" - , macKey = fixedKey - , macResult = digest "\x9d\x94\x61\x07\x3e\x4e\xb6\x40\xa2\x55\x35\x7b\x83\x9f\x39\x4b\x83\x8c\x6f\xf5\x7c\x9b\x68\x6a\x3f\x76\x10\x7c\x10\x66\x72\x8f\x3c\x99\x56\xbd\x78\x5c\xbc\x3b\xf7\x9d\xc2\xab\x57\x8c\x5a\x0c\x06\x3b\x9d\x9c\x40\x58\x48\xde\x1d\xbe\x82\x1c\xd0\x5c\x94\x0a" - } - , MACVector - { macMessage = "\x00" - , macKey = fixedKey - , macResult = digest "\xff\x8e\x90\xa3\x7b\x94\x62\x39\x32\xc5\x9f\x75\x59\xf2\x60\x35\x02\x9c\x37\x67\x32\xcb\x14\xd4\x16\x02\x00\x1c\xbb\x73\xad\xb7\x92\x93\xa2\xdb\xda\x5f\x60\x70\x30\x25\x14\x4d\x15\x8e\x27\x35\x52\x95\x96\x25\x1c\x73\xc0\x34\x5c\xa6\xfc\xcb\x1f\xb1\xe9\x7e" - } - , MACVector - { macMessage = B.pack [ 0x00 .. 0xfe ] - , macKey = fixedKey - , macResult = digest "\x96\xfb\xcb\xb6\x0b\xd3\x13\xb8\x84\x50\x33\xe5\xbc\x05\x8a\x38\x02\x74\x38\x57\x2d\x7e\x79\x57\xf3\x68\x4f\x62\x68\xaa\xdd\x3a\xd0\x8d\x21\x76\x7e\xd6\x87\x86\x85\x33\x1b\xa9\x85\x71\x48\x7e\x12\x47\x0a\xad\x66\x93\x26\x71\x6e\x46\x66\x7f\x69\xf8\xd7\xe8" - } - ] - where fixedKey = B.pack [ 0x00 .. 0x3f ] - -vectorsBlake2sKAT :: [MACVector (Blake2s 256)] -vectorsBlake2sKAT = - [ MACVector - { macMessage = "" - , macKey = fixedKey - , macResult = digest "\x48\xa8\x99\x7d\xa4\x07\x87\x6b\x3d\x79\xc0\xd9\x23\x25\xad\x3b\x89\xcb\xb7\x54\xd8\x6a\xb7\x1a\xee\x04\x7a\xd3\x45\xfd\x2c\x49" - } - , MACVector - { macMessage = "\x00" - , macKey = fixedKey - , macResult = digest "\x40\xd1\x5f\xee\x7c\x32\x88\x30\x16\x6a\xc3\xf9\x18\x65\x0f\x80\x7e\x7e\x01\xe1\x77\x25\x8c\xdc\x0a\x39\xb1\x1f\x59\x80\x66\xf1" - } - , MACVector - { macMessage = B.pack [ 0x00 .. 0xfe ] - , macKey = fixedKey - , macResult = digest "\x3f\xb7\x35\x06\x1a\xbc\x51\x9d\xfe\x97\x9e\x54\xc1\xee\x5b\xfa\xd0\xa9\xd8\x58\xb3\x31\x5b\xad\x34\xbd\xe9\x99\xef\xd7\x24\xdd" - } - ] - where fixedKey = B.pack [ 0x00 .. 0x1f ] - -vectorsBlake2spKAT :: [MACVector (Blake2sp 256)] -vectorsBlake2spKAT = - [ MACVector - { macMessage = "" - , macKey = fixedKey - , macResult = digest "\x71\x5c\xb1\x38\x95\xae\xb6\x78\xf6\x12\x41\x60\xbf\xf2\x14\x65\xb3\x0f\x4f\x68\x74\x19\x3f\xc8\x51\xb4\x62\x10\x43\xf0\x9c\xc6" - } - , MACVector - { macMessage = "\x00" - , macKey = fixedKey - , macResult = digest "\x40\x57\x8f\xfa\x52\xbf\x51\xae\x18\x66\xf4\x28\x4d\x3a\x15\x7f\xc1\xbc\xd3\x6a\xc1\x3c\xbd\xcb\x03\x77\xe4\xd0\xcd\x0b\x66\x03" - } - , MACVector - { macMessage = B.pack [ 0x00 .. 0xfe ] - , macKey = fixedKey - , macResult = digest "\x0c\x8a\x36\x59\x7d\x74\x61\xc6\x3a\x94\x73\x28\x21\xc9\x41\x85\x6c\x66\x83\x76\x60\x6c\x86\xa5\x2d\xe0\xee\x41\x04\xc6\x15\xdb" - } - ] - where fixedKey = B.pack [ 0x00 .. 0x1f ] - -macTests :: [TestTree] -macTests = - [ testGroup "Blake2b_512" (concatMap toMACTest $ zip is vectorsBlake2bKAT) - , testGroup "Blake2bp_512" (concatMap toMACTest $ zip is vectorsBlake2bpKAT) - , testGroup "Blake2s_512" (concatMap toMACTest $ zip is vectorsBlake2sKAT) - , testGroup "Blake2sp_512" (concatMap toMACTest $ zip is vectorsBlake2spKAT) - ] - where toMACTest (i, MACVector{..}) = - [ testCase (show i) (macResult @=? KB.keyedBlake2 macKey macMessage) - , testCase ("incr-" ++ show i) (macResult @=? - KB.finalize (KB.update (KB.initialize macKey) macMessage)) - ] - is :: [Int] - is = [1..] - -data MacIncremental a = MacIncremental ByteString ByteString (KB.KeyedBlake2 a) - deriving (Show,Eq) - -instance KB.HashBlake2 a => Arbitrary (MacIncremental a) where - arbitrary = do - key <- arbitraryBSof 32 64 - msg <- arbitraryBSof 1 99 - return $ MacIncremental key msg (KB.keyedBlake2 key msg) - -data MacIncrementalList a = MacIncrementalList ByteString [ByteString] (KB.KeyedBlake2 a) - deriving (Show,Eq) - -instance KB.HashBlake2 a => Arbitrary (MacIncrementalList a) where - arbitrary = do - key <- arbitraryBSof 32 64 - msgs <- choose (1,20) >>= \n -> replicateM n (arbitraryBSof 1 99) - return $ MacIncrementalList key msgs (KB.keyedBlake2 key (B.concat msgs)) - -macIncrementalTests :: [TestTree] -macIncrementalTests = - [ testIncrProperties "Blake2b_512" (Blake2b :: Blake2b 512) - , testIncrProperties "Blake2bp_512" (Blake2bp :: Blake2bp 512) - , testIncrProperties "Blake2s_256" (Blake2s :: Blake2s 256) - , testIncrProperties "Blake2sp_256" (Blake2sp :: Blake2sp 256) - ] - where - testIncrProperties :: KB.HashBlake2 a => TestName -> a -> TestTree - testIncrProperties name a = testGroup name - [ testProperty "list-one" (prop_inc0 a) - , testProperty "list-multi" (prop_inc1 a) - ] - - prop_inc0 :: KB.HashBlake2 a => a -> MacIncremental a -> Bool - prop_inc0 _ (MacIncremental secret msg result) = - result `assertEq` KB.finalize (KB.update (KB.initialize secret) msg) - - prop_inc1 :: KB.HashBlake2 a => a -> MacIncrementalList a -> Bool - prop_inc1 _ (MacIncrementalList secret msgs result) = - result `assertEq` KB.finalize (foldl' KB.update (KB.initialize secret) msgs) - -tests = testGroup "Blake2" - [ testGroup "KATs" macTests - , testGroup "properties" macIncrementalTests ] diff --git a/tests/KAT_Blowfish.hs b/tests/KAT_Blowfish.hs deleted file mode 100644 --- a/tests/KAT_Blowfish.hs +++ /dev/null @@ -1,47 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_Blowfish where - -import Crypto.Cipher.Blowfish -import Imports () -import BlockCipher - -vectors_ecb = -- key plaintext cipher - [ KAT_ECB "\x00\x00\x00\x00\x00\x00\x00\x00" "\x00\x00\x00\x00\x00\x00\x00\x00" "\x4E\xF9\x97\x45\x61\x98\xDD\x78" - , KAT_ECB "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF" "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF" "\x51\x86\x6F\xD5\xB8\x5E\xCB\x8A" - , KAT_ECB "\x30\x00\x00\x00\x00\x00\x00\x00" "\x10\x00\x00\x00\x00\x00\x00\x01" "\x7D\x85\x6F\x9A\x61\x30\x63\xF2" - , KAT_ECB "\x11\x11\x11\x11\x11\x11\x11\x11" "\x11\x11\x11\x11\x11\x11\x11\x11" "\x24\x66\xDD\x87\x8B\x96\x3C\x9D" - , KAT_ECB "\x01\x23\x45\x67\x89\xAB\xCD\xEF" "\x11\x11\x11\x11\x11\x11\x11\x11" "\x61\xF9\xC3\x80\x22\x81\xB0\x96" - , KAT_ECB "\x11\x11\x11\x11\x11\x11\x11\x11" "\x01\x23\x45\x67\x89\xAB\xCD\xEF" "\x7D\x0C\xC6\x30\xAF\xDA\x1E\xC7" - , KAT_ECB "\x00\x00\x00\x00\x00\x00\x00\x00" "\x00\x00\x00\x00\x00\x00\x00\x00" "\x4E\xF9\x97\x45\x61\x98\xDD\x78" - , KAT_ECB "\xFE\xDC\xBA\x98\x76\x54\x32\x10" "\x01\x23\x45\x67\x89\xAB\xCD\xEF" "\x0A\xCE\xAB\x0F\xC6\xA0\xA2\x8D" - , KAT_ECB "\x7C\xA1\x10\x45\x4A\x1A\x6E\x57" "\x01\xA1\xD6\xD0\x39\x77\x67\x42" "\x59\xC6\x82\x45\xEB\x05\x28\x2B" - , KAT_ECB "\x01\x31\xD9\x61\x9D\xC1\x37\x6E" "\x5C\xD5\x4C\xA8\x3D\xEF\x57\xDA" "\xB1\xB8\xCC\x0B\x25\x0F\x09\xA0" - , KAT_ECB "\x07\xA1\x13\x3E\x4A\x0B\x26\x86" "\x02\x48\xD4\x38\x06\xF6\x71\x72" "\x17\x30\xE5\x77\x8B\xEA\x1D\xA4" - , KAT_ECB "\x38\x49\x67\x4C\x26\x02\x31\x9E" "\x51\x45\x4B\x58\x2D\xDF\x44\x0A" "\xA2\x5E\x78\x56\xCF\x26\x51\xEB" - , KAT_ECB "\x04\xB9\x15\xBA\x43\xFE\xB5\xB6" "\x42\xFD\x44\x30\x59\x57\x7F\xA2" "\x35\x38\x82\xB1\x09\xCE\x8F\x1A" - , KAT_ECB "\x01\x13\xB9\x70\xFD\x34\xF2\xCE" "\x05\x9B\x5E\x08\x51\xCF\x14\x3A" "\x48\xF4\xD0\x88\x4C\x37\x99\x18" - , KAT_ECB "\x01\x70\xF1\x75\x46\x8F\xB5\xE6" "\x07\x56\xD8\xE0\x77\x47\x61\xD2" "\x43\x21\x93\xB7\x89\x51\xFC\x98" - , KAT_ECB "\x43\x29\x7F\xAD\x38\xE3\x73\xFE" "\x76\x25\x14\xB8\x29\xBF\x48\x6A" "\x13\xF0\x41\x54\xD6\x9D\x1A\xE5" - , KAT_ECB "\x07\xA7\x13\x70\x45\xDA\x2A\x16" "\x3B\xDD\x11\x90\x49\x37\x28\x02" "\x2E\xED\xDA\x93\xFF\xD3\x9C\x79" - , KAT_ECB "\x04\x68\x91\x04\xC2\xFD\x3B\x2F" "\x26\x95\x5F\x68\x35\xAF\x60\x9A" "\xD8\x87\xE0\x39\x3C\x2D\xA6\xE3" - , KAT_ECB "\x37\xD0\x6B\xB5\x16\xCB\x75\x46" "\x16\x4D\x5E\x40\x4F\x27\x52\x32" "\x5F\x99\xD0\x4F\x5B\x16\x39\x69" - , KAT_ECB "\x1F\x08\x26\x0D\x1A\xC2\x46\x5E" "\x6B\x05\x6E\x18\x75\x9F\x5C\xCA" "\x4A\x05\x7A\x3B\x24\xD3\x97\x7B" - , KAT_ECB "\x58\x40\x23\x64\x1A\xBA\x61\x76" "\x00\x4B\xD6\xEF\x09\x17\x60\x62" "\x45\x20\x31\xC1\xE4\xFA\xDA\x8E" - , KAT_ECB "\x02\x58\x16\x16\x46\x29\xB0\x07" "\x48\x0D\x39\x00\x6E\xE7\x62\xF2" "\x75\x55\xAE\x39\xF5\x9B\x87\xBD" - , KAT_ECB "\x49\x79\x3E\xBC\x79\xB3\x25\x8F" "\x43\x75\x40\xC8\x69\x8F\x3C\xFA" "\x53\xC5\x5F\x9C\xB4\x9F\xC0\x19" - , KAT_ECB "\x4F\xB0\x5E\x15\x15\xAB\x73\xA7" "\x07\x2D\x43\xA0\x77\x07\x52\x92" "\x7A\x8E\x7B\xFA\x93\x7E\x89\xA3" - , KAT_ECB "\x49\xE9\x5D\x6D\x4C\xA2\x29\xBF" "\x02\xFE\x55\x77\x81\x17\xF1\x2A" "\xCF\x9C\x5D\x7A\x49\x86\xAD\xB5" - , KAT_ECB "\x01\x83\x10\xDC\x40\x9B\x26\xD6" "\x1D\x9D\x5C\x50\x18\xF7\x28\xC2" "\xD1\xAB\xB2\x90\x65\x8B\xC7\x78" - , KAT_ECB "\x1C\x58\x7F\x1C\x13\x92\x4F\xEF" "\x30\x55\x32\x28\x6D\x6F\x29\x5A" "\x55\xCB\x37\x74\xD1\x3E\xF2\x01" - , KAT_ECB "\x01\x01\x01\x01\x01\x01\x01\x01" "\x01\x23\x45\x67\x89\xAB\xCD\xEF" "\xFA\x34\xEC\x48\x47\xB2\x68\xB2" - , KAT_ECB "\x1F\x1F\x1F\x1F\x0E\x0E\x0E\x0E" "\x01\x23\x45\x67\x89\xAB\xCD\xEF" "\xA7\x90\x79\x51\x08\xEA\x3C\xAE" - , KAT_ECB "\xE0\xFE\xE0\xFE\xF1\xFE\xF1\xFE" "\x01\x23\x45\x67\x89\xAB\xCD\xEF" "\xC3\x9E\x07\x2D\x9F\xAC\x63\x1D" - , KAT_ECB "\x00\x00\x00\x00\x00\x00\x00\x00" "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF" "\x01\x49\x33\xE0\xCD\xAF\xF6\xE4" - , KAT_ECB "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF" "\x00\x00\x00\x00\x00\x00\x00\x00" "\xF2\x1E\x9A\x77\xB7\x1C\x49\xBC" - , KAT_ECB "\x01\x23\x45\x67\x89\xAB\xCD\xEF" "\x00\x00\x00\x00\x00\x00\x00\x00" "\x24\x59\x46\x88\x57\x54\x36\x9A" - , KAT_ECB "\xFE\xDC\xBA\x98\x76\x54\x32\x10" "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF" "\x6B\x5C\x5A\x9C\x5D\x9E\x0A\x5A" - ] - -kats = defaultKATs { kat_ECB = vectors_ecb } - -tests = testBlockCipher kats (undefined :: Blowfish64) diff --git a/tests/KAT_CAST5.hs b/tests/KAT_CAST5.hs deleted file mode 100644 --- a/tests/KAT_CAST5.hs +++ /dev/null @@ -1,15 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_CAST5 (tests) where - -import BlockCipher -import qualified Crypto.Cipher.CAST5 as CAST5 - -vectors_ecb = -- key plaintext ciphertext - [ KAT_ECB "\x01\x23\x45\x67\x12\x34\x56\x78\x23\x45\x67\x89\x34\x56\x78\x9A" "\x01\x23\x45\x67\x89\xAB\xCD\xEF" "\x23\x8B\x4F\xE5\x84\x7E\x44\xB2" - , KAT_ECB "\x01\x23\x45\x67\x12\x34\x56\x78\x23\x45" "\x01\x23\x45\x67\x89\xAB\xCD\xEF" "\xEB\x6A\x71\x1A\x2C\x02\x27\x1B" - , KAT_ECB "\x01\x23\x45\x67\x12" "\x01\x23\x45\x67\x89\xAB\xCD\xEF" "\x7A\xC8\x16\xD1\x6E\x9B\x30\x2E" - ] - -kats = defaultKATs { kat_ECB = vectors_ecb } - -tests = testBlockCipher kats (undefined :: CAST5.CAST5) diff --git a/tests/KAT_CMAC.hs b/tests/KAT_CMAC.hs deleted file mode 100644 --- a/tests/KAT_CMAC.hs +++ /dev/null @@ -1,210 +0,0 @@ - -module KAT_CMAC (tests) where - -import qualified Crypto.MAC.CMAC as CMAC -import Crypto.Cipher.Types (Cipher, cipherInit, BlockCipher, ecbEncrypt, blockSize) -import Crypto.Error (eitherCryptoError) -import Crypto.Cipher.AES (AES128, AES192, AES256) -import Crypto.Cipher.TripleDES (DES_EDE3, DES_EDE2) - -import Imports - -import Data.Char (digitToInt) -import qualified Data.ByteString as BS -import qualified Data.ByteArray as B - - -hxs :: String -> ByteString -hxs = BS.pack . rec' where - dtoW8 = fromIntegral . digitToInt - rec' (' ':xs) = rec' xs - rec' (x:y:xs) = dtoW8 x * 16 + dtoW8 y : rec' xs - rec' [_] = error "hxs: invalid hex pattern." - rec' [] = [] - -unsafeCipher :: Cipher k => ByteString -> k -unsafeCipher = either (error . show) id . eitherCryptoError . cipherInit - -ecb0 :: BlockCipher k => k -> ByteString -ecb0 k = ecbEncrypt k $ BS.replicate (blockSize k) 0 - -{- Test vectors from NIST data-sheet - (AES128-CMAC, AES192-CMAC, AES256-CMAC, Three Key TDEA, Two Key TDEA) - http://csrc.nist.gov/publications/nistpubs/800-38B/Updated_CMAC_Examples.pdf - The data of AES128-CMAC is same as them in RFC4493. - -} - -msg512 :: ByteString -msg512 = - hxs $ - "6bc1bee2 2e409f96 e93d7e11 7393172a" ++ - "ae2d8a57 1e03ac9c 9eb76fac 45af8e51" ++ - "30c81c46 a35ce411 e5fbc119 1a0a52ef" ++ - "f69f2445 df4f9b17 ad2b417b e66c3710" - -msg320 :: ByteString -msg320 = BS.take 40 msg512 - -msg256 :: ByteString -msg256 = BS.take 32 msg512 - -msg160 :: ByteString -msg160 = BS.take 20 msg512 - -msg128 :: ByteString -msg128 = BS.take 16 msg512 - -msg64 :: ByteString -msg64 = BS.take 8 msg512 - -msg0 :: ByteString -msg0 = BS.empty - -bsCMAC :: BlockCipher k => k -> ByteString -> ByteString -bsCMAC k = B.convert . CMAC.cmac k - -gAES128 :: TestTree -gAES128 = - igroup "aes128" - [ ecb0 aes128key @?= hxs "7df76b0c 1ab899b3 3e42f047 b91b546f" - , aes128k1 @?= hxs "fbeed618 35713366 7c85e08f 7236a8de" - , aes128k2 @?= hxs "f7ddac30 6ae266cc f90bc11e e46d513b" - - , bsCMAC aes128key msg0 - @?= hxs "bb1d6929 e9593728 7fa37d12 9b756746" - , bsCMAC aes128key msg128 - @?= hxs "070a16b4 6b4d4144 f79bdd9d d04a287c" - , bsCMAC aes128key msg320 - @?= hxs "dfa66747 de9ae630 30ca3261 1497c827" - , bsCMAC aes128key msg512 - @?= hxs "51f0bebf 7e3b9d92 fc497417 79363cfe" - ] - where - aes128key :: AES128 - aes128key = - unsafeCipher $ hxs - "2b7e1516 28aed2a6 abf71588 09cf4f3c" - - aes128k1, aes128k2 :: ByteString - (aes128k1, aes128k2) = CMAC.subKeys aes128key - - -gAES192 :: TestTree -gAES192 = - igroup "aes192" - [ ecb0 aes192key @?= hxs "22452d8e 49a8a593 9f7321ce ea6d514b" - , aes192k1 @?= hxs "448a5b1c 93514b27 3ee6439d d4daa296" - , aes192k2 @?= hxs "8914b639 26a2964e 7dcc873b a9b5452c" - - , bsCMAC aes192key msg0 - @?= hxs "d17ddf46 adaacde5 31cac483 de7a9367" - , bsCMAC aes192key msg128 - @?= hxs "9e99a7bf 31e71090 0662f65e 617c5184" - , bsCMAC aes192key msg320 - @?= hxs "8a1de5be 2eb31aad 089a82e6 ee908b0e" - , bsCMAC aes192key msg512 - @?= hxs "a1d5df0e ed790f79 4d775896 59f39a11" - ] - where - aes192key :: AES192 - aes192key = - unsafeCipher . hxs $ - "8e73b0f7 da0e6452 c810f32b 809079e5" ++ - "62f8ead2 522c6b7b" - - aes192k1, aes192k2 :: ByteString - (aes192k1, aes192k2) = CMAC.subKeys aes192key - -gAES256 :: TestTree -gAES256 = - igroup "aes256" - [ ecb0 aes256key @?= hxs "e568f681 94cf76d6 174d4cc0 4310a854" - , aes256k1 @?= hxs "cad1ed03 299eedac 2e9a9980 8621502f" - , aes256k2 @?= hxs "95a3da06 533ddb58 5d353301 0c42a0d9" - - , bsCMAC aes256key msg0 - @?= hxs "028962f6 1b7bf89e fc6b551f 4667d983" - , bsCMAC aes256key msg128 - @?= hxs "28a7023f 452e8f82 bd4bf28d 8c37c35c" - , bsCMAC aes256key msg320 - @?= hxs "aaf3d8f1 de5640c2 32f5b169 b9c911e6" - , bsCMAC aes256key msg512 - @?= hxs "e1992190 549f6ed5 696a2c05 6c315410" - ] - where - aes256key :: AES256 - aes256key = - unsafeCipher . hxs $ - "603deb10 15ca71be 2b73aef0 857d7781" ++ - "1f352c07 3b6108d7 2d9810a3 0914dff4" - - aes256k1, aes256k2 :: ByteString - (aes256k1, aes256k2) = CMAC.subKeys aes256key - -gTDEA3 :: TestTree -gTDEA3 = - igroup "Three Key TDEA" - [ ecb0 tdea3key @?= hxs "c8cc74e9 8a7329a2" - , tdea3k1 @?= hxs "9198e9d3 14e6535f" - , tdea3k2 @?= hxs "2331d3a6 29cca6a5" - - , bsCMAC tdea3key msg0 - @?= hxs "b7a688e1 22ffaf95" - , bsCMAC tdea3key msg64 - @?= hxs "8e8f2931 36283797" - , bsCMAC tdea3key msg160 - @?= hxs "743ddbe0 ce2dc2ed" - , bsCMAC tdea3key msg256 - @?= hxs "33e6b109 2400eae5" - ] - where - tdea3key :: DES_EDE3 - tdea3key = - unsafeCipher . hxs $ - "8aa83bf8 cbda1062" ++ - "0bc1bf19 fbb6cd58" ++ - "bc313d4a 371ca8b5" - - tdea3k1, tdea3k2 :: ByteString - (tdea3k1, tdea3k2) = CMAC.subKeys tdea3key - -gTDEA2 :: TestTree -gTDEA2 = - igroup "Two Key TDEA" - [ ecb0 tdea2key @?= hxs "c7679b9f 6b8d7d7a" - , tdea2k1 @?= hxs "8ecf373e d71afaef" - , tdea2k2 @?= hxs "1d9e6e7d ae35f5c5" - - , bsCMAC tdea2key msg0 - @?= hxs "bd2ebf9a 3ba00361" - , bsCMAC tdea2key msg64 - @?= hxs "4ff2ab81 3c53ce83" - , bsCMAC tdea2key msg160 - @?= hxs "62dd1b47 1902bd4e" - , bsCMAC tdea2key msg256 - @?= hxs "31b1e431 dabc4eb8" - ] - where - tdea2key :: DES_EDE2 - tdea2key = - unsafeCipher . hxs $ - "4cf15134 a2850dd5" ++ - "8a3d10ba 80570d38" - - tdea2k1, tdea2k2 :: ByteString - (tdea2k1, tdea2k2) = CMAC.subKeys tdea2key - -igroup :: TestName -> [Assertion] -> TestTree -igroup nm = testGroup nm . zipWith (flip ($)) [1..] . map icase - where - icase c i = testCase (show (i :: Int)) c - -nistVectors :: TestTree -nistVectors = - testGroup "KAT - NIST test vectors" - [ gAES128, gAES192, gAES256, gTDEA3, gTDEA2 ] - -tests :: TestTree -tests = - testGroup "CMAC" - [ nistVectors ] diff --git a/tests/KAT_Camellia.hs b/tests/KAT_Camellia.hs deleted file mode 100644 --- a/tests/KAT_Camellia.hs +++ /dev/null @@ -1,34 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -{-# LANGUAGE ViewPatterns #-} -{-# OPTIONS_GHC -fno-warn-unused-binds #-} -{-# OPTIONS_GHC -fno-warn-unused-matches #-} -module KAT_Camellia (tests) where - -import Imports () -import BlockCipher - -import qualified Data.ByteString as B -import Crypto.Cipher.Camellia - -vectors_camellia128 = - [ KAT_ECB (B.replicate 16 0) (B.replicate 16 0) (B.pack [0x3d,0x02,0x80,0x25,0xb1,0x56,0x32,0x7c,0x17,0xf7,0x62,0xc1,0xf2,0xcb,0xca,0x71]) - , KAT_ECB (B.pack [0x01,0x23,0x45,0x67,0x89,0xab,0xcd,0xef,0xfe,0xdc,0xba,0x98,0x76,0x54,0x32,0x10]) - (B.pack [0x01,0x23,0x45,0x67,0x89,0xab,0xcd,0xef,0xfe,0xdc,0xba,0x98,0x76,0x54,0x32,0x10]) - (B.pack [0x67,0x67,0x31,0x38,0x54,0x96,0x69,0x73,0x08,0x57,0x06,0x56,0x48,0xea,0xbe,0x43]) - ] - -vectors_camellia192 = - [ KAT_ECB (B.pack [0x01,0x23,0x45,0x67,0x89,0xab,0xcd,0xef,0xfe,0xdc,0xba,0x98,0x76,0x54,0x32,0x10,0x00,0x11,0x22,0x33,0x44,0x55,0x66,0x77]) (B.pack [0x01,0x23,0x45,0x67,0x89,0xab,0xcd,0xef,0xfe,0xdc,0xba,0x98,0x76,0x54,0x32,0x10]) (B.pack [0xb4,0x99,0x34,0x01,0xb3,0xe9,0x96,0xf8,0x4e,0xe5,0xce,0xe7,0xd7,0x9b,0x09,0xb9]) - ] - -vectors_camellia256 = - [ KAT_ECB (B.pack [0x01,0x23,0x45,0x67,0x89,0xab,0xcd,0xef,0xfe,0xdc,0xba,0x98,0x76,0x54,0x32,0x10 ,0x00,0x11,0x22,0x33,0x44,0x55,0x66,0x77,0x88,0x99,0xaa,0xbb,0xcc,0xdd,0xee,0xff]) - (B.pack [0x01,0x23,0x45,0x67,0x89,0xab,0xcd,0xef,0xfe,0xdc,0xba,0x98,0x76,0x54,0x32,0x10]) - (B.pack [0x9a,0xcc,0x23,0x7d,0xff,0x16,0xd7,0x6c,0x20,0xef,0x7c,0x91,0x9e,0x3a,0x75,0x09]) - ] - -kats128 = defaultKATs { kat_ECB = vectors_camellia128 } -kats192 = defaultKATs { kat_ECB = vectors_camellia192 } -kats256 = defaultKATs { kat_ECB = vectors_camellia256 } - -tests = testBlockCipher kats128 (undefined :: Camellia128) diff --git a/tests/KAT_Curve25519.hs b/tests/KAT_Curve25519.hs deleted file mode 100644 --- a/tests/KAT_Curve25519.hs +++ /dev/null @@ -1,25 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_Curve25519 ( tests ) where - -import Crypto.Error -import qualified Crypto.PubKey.Curve25519 as Curve25519 -import Data.ByteArray as B -import Imports - -alicePrivate = throwCryptoError $ Curve25519.secretKey ("\x77\x07\x6d\x0a\x73\x18\xa5\x7d\x3c\x16\xc1\x72\x51\xb2\x66\x45\xdf\x4c\x2f\x87\xeb\xc0\x99\x2a\xb1\x77\xfb\xa5\x1d\xb9\x2c\x2a" :: ByteString) -alicePublic = throwCryptoError $ Curve25519.publicKey ("\x85\x20\xf0\x09\x89\x30\xa7\x54\x74\x8b\x7d\xdc\xb4\x3e\xf7\x5a\x0d\xbf\x3a\x0d\x26\x38\x1a\xf4\xeb\xa4\xa9\x8e\xaa\x9b\x4e\x6a" :: ByteString) -bobPrivate = throwCryptoError $ Curve25519.secretKey ("\x5d\xab\x08\x7e\x62\x4a\x8a\x4b\x79\xe1\x7f\x8b\x83\x80\x0e\xe6\x6f\x3b\xb1\x29\x26\x18\xb6\xfd\x1c\x2f\x8b\x27\xff\x88\xe0\xeb" :: ByteString) -bobPublic = throwCryptoError $ Curve25519.publicKey ("\xde\x9e\xdb\x7d\x7b\x7d\xc1\xb4\xd3\x5b\x61\xc2\xec\xe4\x35\x37\x3f\x83\x43\xc8\x5b\x78\x67\x4d\xad\xfc\x7e\x14\x6f\x88\x2b\x4f" :: ByteString) -aliceMultBob = "\x4a\x5d\x9d\x5b\xa4\xce\x2d\xe1\x72\x8e\x3b\xf4\x80\x35\x0f\x25\xe0\x7e\x21\xc9\x47\xd1\x9e\x33\x76\xf0\x9b\x3c\x1e\x16\x17\x42" :: ByteString - -katTests :: [TestTree] -katTests = - [ testCase "0" (aliceMultBob @=? B.convert (Curve25519.dh alicePublic bobPrivate)) - , testCase "1" (aliceMultBob @=? B.convert (Curve25519.dh bobPublic alicePrivate)) - , testCase "2" (alicePublic @=? Curve25519.toPublic alicePrivate) - , testCase "3" (bobPublic @=? Curve25519.toPublic bobPrivate) - ] - -tests = testGroup "Curve25519" - [ testGroup "KATs" katTests - ] diff --git a/tests/KAT_Curve448.hs b/tests/KAT_Curve448.hs deleted file mode 100644 --- a/tests/KAT_Curve448.hs +++ /dev/null @@ -1,25 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_Curve448 ( tests ) where - -import Crypto.Error -import qualified Crypto.PubKey.Curve448 as Curve448 -import Data.ByteArray as B -import Imports - -alicePrivate = throwCryptoError $ Curve448.secretKey ("\x9a\x8f\x49\x25\xd1\x51\x9f\x57\x75\xcf\x46\xb0\x4b\x58\x00\xd4\xee\x9e\xe8\xba\xe8\xbc\x55\x65\xd4\x98\xc2\x8d\xd9\xc9\xba\xf5\x74\xa9\x41\x97\x44\x89\x73\x91\x00\x63\x82\xa6\xf1\x27\xab\x1d\x9a\xc2\xd8\xc0\xa5\x98\x72\x6b" :: ByteString) -alicePublic = throwCryptoError $ Curve448.publicKey ("\x9b\x08\xf7\xcc\x31\xb7\xe3\xe6\x7d\x22\xd5\xae\xa1\x21\x07\x4a\x27\x3b\xd2\xb8\x3d\xe0\x9c\x63\xfa\xa7\x3d\x2c\x22\xc5\xd9\xbb\xc8\x36\x64\x72\x41\xd9\x53\xd4\x0c\x5b\x12\xda\x88\x12\x0d\x53\x17\x7f\x80\xe5\x32\xc4\x1f\xa0" :: ByteString) -bobPrivate = throwCryptoError $ Curve448.secretKey ("\x1c\x30\x6a\x7a\xc2\xa0\xe2\xe0\x99\x0b\x29\x44\x70\xcb\xa3\x39\xe6\x45\x37\x72\xb0\x75\x81\x1d\x8f\xad\x0d\x1d\x69\x27\xc1\x20\xbb\x5e\xe8\x97\x2b\x0d\x3e\x21\x37\x4c\x9c\x92\x1b\x09\xd1\xb0\x36\x6f\x10\xb6\x51\x73\x99\x2d" :: ByteString) -bobPublic = throwCryptoError $ Curve448.publicKey ("\x3e\xb7\xa8\x29\xb0\xcd\x20\xf5\xbc\xfc\x0b\x59\x9b\x6f\xec\xcf\x6d\xa4\x62\x71\x07\xbd\xb0\xd4\xf3\x45\xb4\x30\x27\xd8\xb9\x72\xfc\x3e\x34\xfb\x42\x32\xa1\x3c\xa7\x06\xdc\xb5\x7a\xec\x3d\xae\x07\xbd\xc1\xc6\x7b\xf3\x36\x09" :: ByteString) -aliceMultBob = "\x07\xff\xf4\x18\x1a\xc6\xcc\x95\xec\x1c\x16\xa9\x4a\x0f\x74\xd1\x2d\xa2\x32\xce\x40\xa7\x75\x52\x28\x1d\x28\x2b\xb6\x0c\x0b\x56\xfd\x24\x64\xc3\x35\x54\x39\x36\x52\x1c\x24\x40\x30\x85\xd5\x9a\x44\x9a\x50\x37\x51\x4a\x87\x9d" :: ByteString - -katTests :: [TestTree] -katTests = - [ testCase "0" (aliceMultBob @=? B.convert (Curve448.dh alicePublic bobPrivate)) - , testCase "1" (aliceMultBob @=? B.convert (Curve448.dh bobPublic alicePrivate)) - , testCase "2" (alicePublic @=? Curve448.toPublic alicePrivate) - , testCase "3" (bobPublic @=? Curve448.toPublic bobPrivate) - ] - -tests = testGroup "Curve448" - [ testGroup "KATs" katTests - ] diff --git a/tests/KAT_DES.hs b/tests/KAT_DES.hs deleted file mode 100644 --- a/tests/KAT_DES.hs +++ /dev/null @@ -1,49 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -{-# LANGUAGE ViewPatterns #-} -module KAT_DES (tests) where - -import Imports -import BlockCipher -import qualified Crypto.Cipher.DES as DES - -vectors_ecb = -- key plaintext ciphertext - [ KAT_ECB "\x00\x00\x00\x00\x00\x00\x00\x00" "\x00\x00\x00\x00\x00\x00\x00\x00" "\x8C\xA6\x4D\xE9\xC1\xB1\x23\xA7" - , KAT_ECB "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF" "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF" "\x73\x59\xB2\x16\x3E\x4E\xDC\x58" - , KAT_ECB "\x30\x00\x00\x00\x00\x00\x00\x00" "\x10\x00\x00\x00\x00\x00\x00\x01" "\x95\x8E\x6E\x62\x7A\x05\x55\x7B" - , KAT_ECB "\x11\x11\x11\x11\x11\x11\x11\x11" "\x11\x11\x11\x11\x11\x11\x11\x11" "\xF4\x03\x79\xAB\x9E\x0E\xC5\x33" - , KAT_ECB "\x01\x23\x45\x67\x89\xAB\xCD\xEF" "\x11\x11\x11\x11\x11\x11\x11\x11" "\x17\x66\x8D\xFC\x72\x92\x53\x2D" - , KAT_ECB "\x11\x11\x11\x11\x11\x11\x11\x11" "\x01\x23\x45\x67\x89\xAB\xCD\xEF" "\x8A\x5A\xE1\xF8\x1A\xB8\xF2\xDD" - , KAT_ECB "\x00\x00\x00\x00\x00\x00\x00\x00" "\x00\x00\x00\x00\x00\x00\x00\x00" "\x8C\xA6\x4D\xE9\xC1\xB1\x23\xA7" - , KAT_ECB "\xFE\xDC\xBA\x98\x76\x54\x32\x10" "\x01\x23\x45\x67\x89\xAB\xCD\xEF" "\xED\x39\xD9\x50\xFA\x74\xBC\xC4" - , KAT_ECB "\x7C\xA1\x10\x45\x4A\x1A\x6E\x57" "\x01\xA1\xD6\xD0\x39\x77\x67\x42" "\x69\x0F\x5B\x0D\x9A\x26\x93\x9B" - , KAT_ECB "\x01\x31\xD9\x61\x9D\xC1\x37\x6E" "\x5C\xD5\x4C\xA8\x3D\xEF\x57\xDA" "\x7A\x38\x9D\x10\x35\x4B\xD2\x71" - , KAT_ECB "\x07\xA1\x13\x3E\x4A\x0B\x26\x86" "\x02\x48\xD4\x38\x06\xF6\x71\x72" "\x86\x8E\xBB\x51\xCA\xB4\x59\x9A" - , KAT_ECB "\x38\x49\x67\x4C\x26\x02\x31\x9E" "\x51\x45\x4B\x58\x2D\xDF\x44\x0A" "\x71\x78\x87\x6E\x01\xF1\x9B\x2A" - , KAT_ECB "\x04\xB9\x15\xBA\x43\xFE\xB5\xB6" "\x42\xFD\x44\x30\x59\x57\x7F\xA2" "\xAF\x37\xFB\x42\x1F\x8C\x40\x95" - , KAT_ECB "\x01\x13\xB9\x70\xFD\x34\xF2\xCE" "\x05\x9B\x5E\x08\x51\xCF\x14\x3A" "\x86\xA5\x60\xF1\x0E\xC6\xD8\x5B" - , KAT_ECB "\x01\x70\xF1\x75\x46\x8F\xB5\xE6" "\x07\x56\xD8\xE0\x77\x47\x61\xD2" "\x0C\xD3\xDA\x02\x00\x21\xDC\x09" - , KAT_ECB "\x43\x29\x7F\xAD\x38\xE3\x73\xFE" "\x76\x25\x14\xB8\x29\xBF\x48\x6A" "\xEA\x67\x6B\x2C\xB7\xDB\x2B\x7A" - , KAT_ECB "\x07\xA7\x13\x70\x45\xDA\x2A\x16" "\x3B\xDD\x11\x90\x49\x37\x28\x02" "\xDF\xD6\x4A\x81\x5C\xAF\x1A\x0F" - , KAT_ECB "\x04\x68\x91\x04\xC2\xFD\x3B\x2F" "\x26\x95\x5F\x68\x35\xAF\x60\x9A" "\x5C\x51\x3C\x9C\x48\x86\xC0\x88" - , KAT_ECB "\x37\xD0\x6B\xB5\x16\xCB\x75\x46" "\x16\x4D\x5E\x40\x4F\x27\x52\x32" "\x0A\x2A\xEE\xAE\x3F\xF4\xAB\x77" - , KAT_ECB "\x1F\x08\x26\x0D\x1A\xC2\x46\x5E" "\x6B\x05\x6E\x18\x75\x9F\x5C\xCA" "\xEF\x1B\xF0\x3E\x5D\xFA\x57\x5A" - , KAT_ECB "\x58\x40\x23\x64\x1A\xBA\x61\x76" "\x00\x4B\xD6\xEF\x09\x17\x60\x62" "\x88\xBF\x0D\xB6\xD7\x0D\xEE\x56" - , KAT_ECB "\x02\x58\x16\x16\x46\x29\xB0\x07" "\x48\x0D\x39\x00\x6E\xE7\x62\xF2" "\xA1\xF9\x91\x55\x41\x02\x0B\x56" - , KAT_ECB "\x49\x79\x3E\xBC\x79\xB3\x25\x8F" "\x43\x75\x40\xC8\x69\x8F\x3C\xFA" "\x6F\xBF\x1C\xAF\xCF\xFD\x05\x56" - , KAT_ECB "\x4F\xB0\x5E\x15\x15\xAB\x73\xA7" "\x07\x2D\x43\xA0\x77\x07\x52\x92" "\x2F\x22\xE4\x9B\xAB\x7C\xA1\xAC" - , KAT_ECB "\x49\xE9\x5D\x6D\x4C\xA2\x29\xBF" "\x02\xFE\x55\x77\x81\x17\xF1\x2A" "\x5A\x6B\x61\x2C\xC2\x6C\xCE\x4A" - , KAT_ECB "\x01\x83\x10\xDC\x40\x9B\x26\xD6" "\x1D\x9D\x5C\x50\x18\xF7\x28\xC2" "\x5F\x4C\x03\x8E\xD1\x2B\x2E\x41" - , KAT_ECB "\x1C\x58\x7F\x1C\x13\x92\x4F\xEF" "\x30\x55\x32\x28\x6D\x6F\x29\x5A" "\x63\xFA\xC0\xD0\x34\xD9\xF7\x93" - , KAT_ECB "\x01\x01\x01\x01\x01\x01\x01\x01" "\x01\x23\x45\x67\x89\xAB\xCD\xEF" "\x61\x7B\x3A\x0C\xE8\xF0\x71\x00" - , KAT_ECB "\x1F\x1F\x1F\x1F\x0E\x0E\x0E\x0E" "\x01\x23\x45\x67\x89\xAB\xCD\xEF" "\xDB\x95\x86\x05\xF8\xC8\xC6\x06" - , KAT_ECB "\xE0\xFE\xE0\xFE\xF1\xFE\xF1\xFE" "\x01\x23\x45\x67\x89\xAB\xCD\xEF" "\xED\xBF\xD1\xC6\x6C\x29\xCC\xC7" - , KAT_ECB "\x00\x00\x00\x00\x00\x00\x00\x00" "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF" "\x35\x55\x50\xB2\x15\x0E\x24\x51" - , KAT_ECB "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF" "\x00\x00\x00\x00\x00\x00\x00\x00" "\xCA\xAA\xAF\x4D\xEA\xF1\xDB\xAE" - , KAT_ECB "\x01\x23\x45\x67\x89\xAB\xCD\xEF" "\x00\x00\x00\x00\x00\x00\x00\x00" "\xD5\xD4\x4F\xF7\x20\x68\x3D\x0D" - , KAT_ECB "\xFE\xDC\xBA\x98\x76\x54\x32\x10" "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF" "\x2A\x2B\xB0\x08\xDF\x97\xC2\xF2" - ] - -kats = defaultKATs { kat_ECB = vectors_ecb } - -tests = localOption (QuickCheckTests 5) - $ testBlockCipher kats (undefined :: DES.DES) diff --git a/tests/KAT_Ed25519.hs b/tests/KAT_Ed25519.hs deleted file mode 100644 --- a/tests/KAT_Ed25519.hs +++ /dev/null @@ -1,72 +0,0 @@ -{-# LANGUAGE BangPatterns #-} -{-# LANGUAGE OverloadedStrings #-} -module KAT_Ed25519 ( tests ) where - -import Crypto.Error -import qualified Crypto.PubKey.Ed25519 as Ed25519 -import Imports - -data Vec = Vec - { vecSec :: ByteString - , vecPub :: ByteString - , vecMsg :: ByteString - , vecSig :: ByteString - } deriving (Show,Eq) - -vectors = - [ Vec - { vecSec = "\x9d\x61\xb1\x9d\xef\xfd\x5a\x60\xba\x84\x4a\xf4\x92\xec\x2c\xc4\x44\x49\xc5\x69\x7b\x32\x69\x19\x70\x3b\xac\x03\x1c\xae\x7f\x60" - , vecPub = "\xd7\x5a\x98\x01\x82\xb1\x0a\xb7\xd5\x4b\xfe\xd3\xc9\x64\x07\x3a\x0e\xe1\x72\xf3\xda\xa6\x23\x25\xaf\x02\x1a\x68\xf7\x07\x51\x1a" - , vecMsg = "" - , vecSig = "\xe5\x56\x43\x00\xc3\x60\xac\x72\x90\x86\xe2\xcc\x80\x6e\x82\x8a\x84\x87\x7f\x1e\xb8\xe5\xd9\x74\xd8\x73\xe0\x65\x22\x49\x01\x55\x5f\xb8\x82\x15\x90\xa3\x3b\xac\xc6\x1e\x39\x70\x1c\xf9\xb4\x6b\xd2\x5b\xf5\xf0\x59\x5b\xbe\x24\x65\x51\x41\x43\x8e\x7a\x10\x0b" - } - , Vec - { vecSec = "\x4c\xcd\x08\x9b\x28\xff\x96\xda\x9d\xb6\xc3\x46\xec\x11\x4e\x0f\x5b\x8a\x31\x9f\x35\xab\xa6\x24\xda\x8c\xf6\xed\x4f\xb8\xa6\xfb" - , vecPub = "\x3d\x40\x17\xc3\xe8\x43\x89\x5a\x92\xb7\x0a\xa7\x4d\x1b\x7e\xbc\x9c\x98\x2c\xcf\x2e\xc4\x96\x8c\xc0\xcd\x55\xf1\x2a\xf4\x66\x0c" - , vecMsg = "\x72" - , vecSig = "\x92\xa0\x09\xa9\xf0\xd4\xca\xb8\x72\x0e\x82\x0b\x5f\x64\x25\x40\xa2\xb2\x7b\x54\x16\x50\x3f\x8f\xb3\x76\x22\x23\xeb\xdb\x69\xda\x08\x5a\xc1\xe4\x3e\x15\x99\x6e\x45\x8f\x36\x13\xd0\xf1\x1d\x8c\x38\x7b\x2e\xae\xb4\x30\x2a\xee\xb0\x0d\x29\x16\x12\xbb\x0c\x00" - } - , Vec - { vecSec = "\xc5\xaa\x8d\xf4\x3f\x9f\x83\x7b\xed\xb7\x44\x2f\x31\xdc\xb7\xb1\x66\xd3\x85\x35\x07\x6f\x09\x4b\x85\xce\x3a\x2e\x0b\x44\x58\xf7" - , vecPub = "\xfc\x51\xcd\x8e\x62\x18\xa1\xa3\x8d\xa4\x7e\xd0\x02\x30\xf0\x58\x08\x16\xed\x13\xba\x33\x03\xac\x5d\xeb\x91\x15\x48\x90\x80\x25" - , vecMsg = "\xaf\x82" - , vecSig = "\x62\x91\xd6\x57\xde\xec\x24\x02\x48\x27\xe6\x9c\x3a\xbe\x01\xa3\x0c\xe5\x48\xa2\x84\x74\x3a\x44\x5e\x36\x80\xd7\xdb\x5a\xc3\xac\x18\xff\x9b\x53\x8d\x16\xf2\x90\xae\x67\xf7\x60\x98\x4d\xc6\x59\x4a\x7c\x15\xe9\x71\x6e\xd2\x8d\xc0\x27\xbe\xce\xea\x1e\xc4\x0a" - } - , Vec - { vecSec = "\xf5\xe5\x76\x7c\xf1\x53\x31\x95\x17\x63\x0f\x22\x68\x76\xb8\x6c\x81\x60\xcc\x58\x3b\xc0\x13\x74\x4c\x6b\xf2\x55\xf5\xcc\x0e\xe5" - , vecPub = "\x27\x81\x17\xfc\x14\x4c\x72\x34\x0f\x67\xd0\xf2\x31\x6e\x83\x86\xce\xff\xbf\x2b\x24\x28\xc9\xc5\x1f\xef\x7c\x59\x7f\x1d\x42\x6e" - , vecMsg = 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- , vecSig = "\x0a\xab\x4c\x90\x05\x01\xb3\xe2\x4d\x7c\xdf\x46\x63\x32\x6a\x3a\x87\xdf\x5e\x48\x43\xb2\xcb\xdb\x67\xcb\xf6\xe4\x60\xfe\xc3\x50\xaa\x53\x71\xb1\x50\x8f\x9f\x45\x28\xec\xea\x23\xc4\x36\xd9\x4b\x5e\x8f\xcd\x4f\x68\x1e\x30\xa6\xac\x00\xa9\x70\x4a\x18\x8a\x03" - } - , Vec - { vecSec = "\x83\x3f\xe6\x24\x09\x23\x7b\x9d\x62\xec\x77\x58\x75\x20\x91\x1e\x9a\x75\x9c\xec\x1d\x19\x75\x5b\x7d\xa9\x01\xb9\x6d\xca\x3d\x42" - , vecPub = "\xec\x17\x2b\x93\xad\x5e\x56\x3b\xf4\x93\x2c\x70\xe1\x24\x50\x34\xc3\x54\x67\xef\x2e\xfd\x4d\x64\xeb\xf8\x19\x68\x34\x67\xe2\xbf" - , vecMsg = "\xdd\xaf\x35\xa1\x93\x61\x7a\xba\xcc\x41\x73\x49\xae\x20\x41\x31\x12\xe6\xfa\x4e\x89\xa9\x7e\xa2\x0a\x9e\xee\xe6\x4b\x55\xd3\x9a\x21\x92\x99\x2a\x27\x4f\xc1\xa8\x36\xba\x3c\x23\xa3\xfe\xeb\xbd\x45\x4d\x44\x23\x64\x3c\xe8\x0e\x2a\x9a\xc9\x4f\xa5\x4c\xa4\x9f" - , vecSig = "\xdc\x2a\x44\x59\xe7\x36\x96\x33\xa5\x2b\x1b\xf2\x77\x83\x9a\x00\x20\x10\x09\xa3\xef\xbf\x3e\xcb\x69\xbe\xa2\x18\x6c\x26\xb5\x89\x09\x35\x1f\xc9\xac\x90\xb3\xec\xfd\xfb\xc7\xc6\x64\x31\xe0\x30\x3d\xca\x17\x9c\x13\x8a\xc1\x7a\xd9\xbe\xf1\x17\x73\x31\xa7\x04" - } - ] - - -doPublicKeyTest i vec = testCase (show i) (pub @=? Ed25519.toPublic sec) - where - !pub = throwCryptoError $ Ed25519.publicKey (vecPub vec) - !sec = throwCryptoError $ Ed25519.secretKey (vecSec vec) - -doSignatureTest i vec = testCase (show i) (sig @=? Ed25519.sign sec pub (vecMsg vec)) - where - !sig = throwCryptoError $ Ed25519.signature (vecSig vec) - !pub = throwCryptoError $ Ed25519.publicKey (vecPub vec) - !sec = throwCryptoError $ Ed25519.secretKey (vecSec vec) - -doVerifyTest i vec = testCase (show i) (True @=? Ed25519.verify pub (vecMsg vec) sig) - where - !sig = throwCryptoError $ Ed25519.signature (vecSig vec) - !pub = throwCryptoError $ Ed25519.publicKey (vecPub vec) - - -tests = testGroup "Ed25519" - [ testCase "gen secretkey" (Ed25519.generateSecretKey *> pure ()) - , testGroup "gen publickey" $ zipWith doPublicKeyTest [katZero..] vectors - , testGroup "gen signature" $ zipWith doSignatureTest [katZero..] vectors - , testGroup "verify sig" $ zipWith doVerifyTest [katZero..] vectors - ] diff --git a/tests/KAT_Ed448.hs b/tests/KAT_Ed448.hs deleted file mode 100644 --- a/tests/KAT_Ed448.hs +++ /dev/null @@ -1,90 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -{-# LANGUAGE BangPatterns #-} -module KAT_Ed448 ( tests ) where - -import Crypto.Error -import qualified Crypto.PubKey.Ed448 as Ed448 -import Imports - -data Vec = Vec - { vecSec :: ByteString - , vecPub :: ByteString - , vecMsg :: ByteString - , vecSig :: ByteString - } deriving (Show,Eq) - -vectors = - [ Vec - { vecSec = "\x6c\x82\xa5\x62\xcb\x80\x8d\x10\xd6\x32\xbe\x89\xc8\x51\x3e\xbf\x6c\x92\x9f\x34\xdd\xfa\x8c\x9f\x63\xc9\x96\x0e\xf6\xe3\x48\xa3\x52\x8c\x8a\x3f\xcc\x2f\x04\x4e\x39\xa3\xfc\x5b\x94\x49\x2f\x8f\x03\x2e\x75\x49\xa2\x00\x98\xf9\x5b" - , vecPub = "\x5f\xd7\x44\x9b\x59\xb4\x61\xfd\x2c\xe7\x87\xec\x61\x6a\xd4\x6a\x1d\xa1\x34\x24\x85\xa7\x0e\x1f\x8a\x0e\xa7\x5d\x80\xe9\x67\x78\xed\xf1\x24\x76\x9b\x46\xc7\x06\x1b\xd6\x78\x3d\xf1\xe5\x0f\x6c\xd1\xfa\x1a\xbe\xaf\xe8\x25\x61\x80" - , vecMsg = "" - , vecSig = "\x53\x3a\x37\xf6\xbb\xe4\x57\x25\x1f\x02\x3c\x0d\x88\xf9\x76\xae\x2d\xfb\x50\x4a\x84\x3e\x34\xd2\x07\x4f\xd8\x23\xd4\x1a\x59\x1f\x2b\x23\x3f\x03\x4f\x62\x82\x81\xf2\xfd\x7a\x22\xdd\xd4\x7d\x78\x28\xc5\x9b\xd0\xa2\x1b\xfd\x39\x80\xff\x0d\x20\x28\xd4\xb1\x8a\x9d\xf6\x3e\x00\x6c\x5d\x1c\x2d\x34\x5b\x92\x5d\x8d\xc0\x0b\x41\x04\x85\x2d\xb9\x9a\xc5\xc7\xcd\xda\x85\x30\xa1\x13\xa0\xf4\xdb\xb6\x11\x49\xf0\x5a\x73\x63\x26\x8c\x71\xd9\x58\x08\xff\x2e\x65\x26\x00" - } - , Vec - { vecSec = "\xc4\xea\xb0\x5d\x35\x70\x07\xc6\x32\xf3\xdb\xb4\x84\x89\x92\x4d\x55\x2b\x08\xfe\x0c\x35\x3a\x0d\x4a\x1f\x00\xac\xda\x2c\x46\x3a\xfb\xea\x67\xc5\xe8\xd2\x87\x7c\x5e\x3b\xc3\x97\xa6\x59\x94\x9e\xf8\x02\x1e\x95\x4e\x0a\x12\x27\x4e" - , vecPub = "\x43\xba\x28\xf4\x30\xcd\xff\x45\x6a\xe5\x31\x54\x5f\x7e\xcd\x0a\xc8\x34\xa5\x5d\x93\x58\xc0\x37\x2b\xfa\x0c\x6c\x67\x98\xc0\x86\x6a\xea\x01\xeb\x00\x74\x28\x02\xb8\x43\x8e\xa4\xcb\x82\x16\x9c\x23\x51\x60\x62\x7b\x4c\x3a\x94\x80" - , vecMsg = "\x03" - , vecSig = "\x26\xb8\xf9\x17\x27\xbd\x62\x89\x7a\xf1\x5e\x41\xeb\x43\xc3\x77\xef\xb9\xc6\x10\xd4\x8f\x23\x35\xcb\x0b\xd0\x08\x78\x10\xf4\x35\x25\x41\xb1\x43\xc4\xb9\x81\xb7\xe1\x8f\x62\xde\x8c\xcd\xf6\x33\xfc\x1b\xf0\x37\xab\x7c\xd7\x79\x80\x5e\x0d\xbc\xc0\xaa\xe1\xcb\xce\xe1\xaf\xb2\xe0\x27\xdf\x36\xbc\x04\xdc\xec\xbf\x15\x43\x36\xc1\x9f\x0a\xf7\xe0\xa6\x47\x29\x05\xe7\x99\xf1\x95\x3d\x2a\x0f\xf3\x34\x8a\xb2\x1a\xa4\xad\xaf\xd1\xd2\x34\x44\x1c\xf8\x07\xc0\x3a\x00" - } - , Vec - { vecSec = "\xcd\x23\xd2\x4f\x71\x42\x74\xe7\x44\x34\x32\x37\xb9\x32\x90\xf5\x11\xf6\x42\x5f\x98\xe6\x44\x59\xff\x20\x3e\x89\x85\x08\x3f\xfd\xf6\x05\x00\x55\x3a\xbc\x0e\x05\xcd\x02\x18\x4b\xdb\x89\xc4\xcc\xd6\x7e\x18\x79\x51\x26\x7e\xb3\x28" - , vecPub = "\xdc\xea\x9e\x78\xf3\x5a\x1b\xf3\x49\x9a\x83\x1b\x10\xb8\x6c\x90\xaa\xc0\x1c\xd8\x4b\x67\xa0\x10\x9b\x55\xa3\x6e\x93\x28\xb1\xe3\x65\xfc\xe1\x61\xd7\x1c\xe7\x13\x1a\x54\x3e\xa4\xcb\x5f\x7e\x9f\x1d\x8b\x00\x69\x64\x47\x00\x14\x00" - , vecMsg = "\x0c\x3e\x54\x40\x74\xec\x63\xb0\x26\x5e\x0c" - , vecSig = "\x1f\x0a\x88\x88\xce\x25\xe8\xd4\x58\xa2\x11\x30\x87\x9b\x84\x0a\x90\x89\xd9\x99\xaa\xba\x03\x9e\xaf\x3e\x3a\xfa\x09\x0a\x09\xd3\x89\xdb\xa8\x2c\x4f\xf2\xae\x8a\xc5\xcd\xfb\x7c\x55\xe9\x4d\x5d\x96\x1a\x29\xfe\x01\x09\x94\x1e\x00\xb8\xdb\xde\xea\x6d\x3b\x05\x10\x68\xdf\x72\x54\xc0\xcd\xc1\x29\xcb\xe6\x2d\xb2\xdc\x95\x7d\xbb\x47\xb5\x1f\xd3\xf2\x13\xfb\x86\x98\xf0\x64\x77\x42\x50\xa5\x02\x89\x61\xc9\xbf\x8f\xfd\x97\x3f\xe5\xd5\xc2\x06\x49\x2b\x14\x0e\x00" - } - , Vec - { vecSec = "\x25\x8c\xdd\x4a\xda\x32\xed\x9c\x9f\xf5\x4e\x63\x75\x6a\xe5\x82\xfb\x8f\xab\x2a\xc7\x21\xf2\xc8\xe6\x76\xa7\x27\x68\x51\x3d\x93\x9f\x63\xdd\xdb\x55\x60\x91\x33\xf2\x9a\xdf\x86\xec\x99\x29\xdc\xcb\x52\xc1\xc5\xfd\x2f\xf7\xe2\x1b" - , vecPub = "\x3b\xa1\x6d\xa0\xc6\xf2\xcc\x1f\x30\x18\x77\x40\x75\x6f\x5e\x79\x8d\x6b\xc5\xfc\x01\x5d\x7c\x63\xcc\x95\x10\xee\x3f\xd4\x4a\xdc\x24\xd8\xe9\x68\xb6\xe4\x6e\x6f\x94\xd1\x9b\x94\x53\x61\x72\x6b\xd7\x5e\x14\x9e\xf0\x98\x17\xf5\x80" - , vecMsg = "\x64\xa6\x5f\x3c\xde\xdc\xdd\x66\x81\x1e\x29\x15" - , vecSig = "\x7e\xee\xab\x7c\x4e\x50\xfb\x79\x9b\x41\x8e\xe5\xe3\x19\x7f\xf6\xbf\x15\xd4\x3a\x14\xc3\x43\x89\xb5\x9d\xd1\xa7\xb1\xb8\x5b\x4a\xe9\x04\x38\xac\xa6\x34\xbe\xa4\x5e\x3a\x26\x95\xf1\x27\x0f\x07\xfd\xcd\xf7\xc6\x2b\x8e\xfe\xaf\x00\xb4\x5c\x2c\x96\xba\x45\x7e\xb1\xa8\xbf\x07\x5a\x3d\xb2\x8e\x5c\x24\xf6\xb9\x23\xed\x4a\xd7\x47\xc3\xc9\xe0\x3c\x70\x79\xef\xb8\x7c\xb1\x10\xd3\xa9\x98\x61\xe7\x20\x03\xcb\xae\x6d\x6b\x8b\x82\x7e\x4e\x6c\x14\x30\x64\xff\x3c\x00" - } - , Vec - { vecSec = "\x7e\xf4\xe8\x45\x44\x23\x67\x52\xfb\xb5\x6b\x8f\x31\xa2\x3a\x10\xe4\x28\x14\xf5\xf5\x5c\xa0\x37\xcd\xcc\x11\xc6\x4c\x9a\x3b\x29\x49\xc1\xbb\x60\x70\x03\x14\x61\x17\x32\xa6\xc2\xfe\xa9\x8e\xeb\xc0\x26\x6a\x11\xa9\x39\x70\x10\x0e" - , vecPub = "\xb3\xda\x07\x9b\x0a\xa4\x93\xa5\x77\x20\x29\xf0\x46\x7b\xae\xbe\xe5\xa8\x11\x2d\x9d\x3a\x22\x53\x23\x61\xda\x29\x4f\x7b\xb3\x81\x5c\x5d\xc5\x9e\x17\x6b\x4d\x9f\x38\x1c\xa0\x93\x8e\x13\xc6\xc0\x7b\x17\x4b\xe6\x5d\xfa\x57\x8e\x80" - , vecMsg = "\x64\xa6\x5f\x3c\xde\xdc\xdd\x66\x81\x1e\x29\x15\xe7" - , vecSig = "\x6a\x12\x06\x6f\x55\x33\x1b\x6c\x22\xac\xd5\xd5\xbf\xc5\xd7\x12\x28\xfb\xda\x80\xae\x8d\xec\x26\xbd\xd3\x06\x74\x3c\x50\x27\xcb\x48\x90\x81\x0c\x16\x2c\x02\x74\x68\x67\x5e\xcf\x64\x5a\x83\x17\x6c\x0d\x73\x23\xa2\xcc\xde\x2d\x80\xef\xe5\xa1\x26\x8e\x8a\xca\x1d\x6f\xbc\x19\x4d\x3f\x77\xc4\x49\x86\xeb\x4a\xb4\x17\x79\x19\xad\x8b\xec\x33\xeb\x47\xbb\xb5\xfc\x6e\x28\x19\x6f\xd1\xca\xf5\x6b\x4e\x7e\x0b\xa5\x51\x92\x34\xd0\x47\x15\x5a\xc7\x27\xa1\x05\x31\x00" - } - , Vec - { vecSec = "\xd6\x5d\xf3\x41\xad\x13\xe0\x08\x56\x76\x88\xba\xed\xda\x8e\x9d\xcd\xc1\x7d\xc0\x24\x97\x4e\xa5\xb4\x22\x7b\x65\x30\xe3\x39\xbf\xf2\x1f\x99\xe6\x8c\xa6\x96\x8f\x3c\xca\x6d\xfe\x0f\xb9\xf4\xfa\xb4\xfa\x13\x5d\x55\x42\xea\x3f\x01" - , vecPub = "\xdf\x97\x05\xf5\x8e\xdb\xab\x80\x2c\x7f\x83\x63\xcf\xe5\x56\x0a\xb1\xc6\x13\x2c\x20\xa9\xf1\xdd\x16\x34\x83\xa2\x6f\x8a\xc5\x3a\x39\xd6\x80\x8b\xf4\xa1\xdf\xbd\x26\x1b\x09\x9b\xb0\x3b\x3f\xb5\x09\x06\xcb\x28\xbd\x8a\x08\x1f\x00" - , vecMsg = "\xbd\x0f\x6a\x37\x47\xcd\x56\x1b\xdd\xdf\x46\x40\xa3\x32\x46\x1a\x4a\x30\xa1\x2a\x43\x4c\xd0\xbf\x40\xd7\x66\xd9\xc6\xd4\x58\xe5\x51\x22\x04\xa3\x0c\x17\xd1\xf5\x0b\x50\x79\x63\x1f\x64\xeb\x31\x12\x18\x2d\xa3\x00\x58\x35\x46\x11\x13\x71\x8d\x1a\x5e\xf9\x44" - , vecSig = "\x55\x4b\xc2\x48\x08\x60\xb4\x9e\xab\x85\x32\xd2\xa5\x33\xb7\xd5\x78\xef\x47\x3e\xeb\x58\xc9\x8b\xb2\xd0\xe1\xce\x48\x8a\x98\xb1\x8d\xfd\xe9\xb9\xb9\x07\x75\xe6\x7f\x47\xd4\xa1\xc3\x48\x20\x58\xef\xc9\xf4\x0d\x2c\xa0\x33\xa0\x80\x1b\x63\xd4\x5b\x3b\x72\x2e\xf5\x52\xba\xd3\xb4\xcc\xb6\x67\xda\x35\x01\x92\xb6\x1c\x50\x8c\xf7\xb6\xb5\xad\xad\xc2\xc8\xd9\xa4\x46\xef\x00\x3f\xb0\x5c\xba\x5f\x30\xe8\x8e\x36\xec\x27\x03\xb3\x49\xca\x22\x9c\x26\x70\x83\x39\x00" - } - , Vec - { vecSec = "\x2e\xc5\xfe\x3c\x17\x04\x5a\xbd\xb1\x36\xa5\xe6\xa9\x13\xe3\x2a\xb7\x5a\xe6\x8b\x53\xd2\xfc\x14\x9b\x77\xe5\x04\x13\x2d\x37\x56\x9b\x7e\x76\x6b\xa7\x4a\x19\xbd\x61\x62\x34\x3a\x21\xc8\x59\x0a\xa9\xce\xbc\xa9\x01\x4c\x63\x6d\xf5" - , vecPub = "\x79\x75\x6f\x01\x4d\xcf\xe2\x07\x9f\x5d\xd9\xe7\x18\xbe\x41\x71\xe2\xef\x24\x86\xa0\x8f\x25\x18\x6f\x6b\xff\x43\xa9\x93\x6b\x9b\xfe\x12\x40\x2b\x08\xae\x65\x79\x8a\x3d\x81\xe2\x2e\x9e\xc8\x0e\x76\x90\x86\x2e\xf3\xd4\xed\x3a\x00" - , vecMsg = "\x15\x77\x75\x32\xb0\xbd\xd0\xd1\x38\x9f\x63\x6c\x5f\x6b\x9b\xa7\x34\xc9\x0a\xf5\x72\x87\x7e\x2d\x27\x2d\xd0\x78\xaa\x1e\x56\x7c\xfa\x80\xe1\x29\x28\xbb\x54\x23\x30\xe8\x40\x9f\x31\x74\x50\x41\x07\xec\xd5\xef\xac\x61\xae\x75\x04\xda\xbe\x2a\x60\x2e\xde\x89\xe5\xcc\xa6\x25\x7a\x7c\x77\xe2\x7a\x70\x2b\x3a\xe3\x9f\xc7\x69\xfc\x54\xf2\x39\x5a\xe6\xa1\x17\x8c\xab\x47\x38\xe5\x43\x07\x2f\xc1\xc1\x77\xfe\x71\xe9\x2e\x25\xbf\x03\xe4\xec\xb7\x2f\x47\xb6\x4d\x04\x65\xaa\xea\x4c\x7f\xad\x37\x25\x36\xc8\xba\x51\x6a\x60\x39\xc3\xc2\xa3\x9f\x0e\x4d\x83\x2b\xe4\x32\xdf\xa9\xa7\x06\xa6\xe5\xc7\xe1\x9f\x39\x79\x64\xca\x42\x58\x00\x2f\x7c\x05\x41\xb5\x90\x31\x6d\xbc\x56\x22\xb6\xb2\xa6\xfe\x7a\x4a\xbf\xfd\x96\x10\x5e\xca\x76\xea\x7b\x98\x81\x6a\xf0\x74\x8c\x10\xdf\x04\x8c\xe0\x12\xd9\x01\x01\x5a\x51\xf1\x89\xf3\x88\x81\x45\xc0\x36\x50\xaa\x23\xce\x89\x4c\x3b\xd8\x89\xe0\x30\xd5\x65\x07\x1c\x59\xf4\x09\xa9\x98\x1b\x51\x87\x8f\xd6\xfc\x11\x06\x24\xdc\xbc\xde\x0b\xf7\xa6\x9c\xcc\xe3\x8f\xab\xdf\x86\xf3\xbe\xf6\x04\x48\x19\xde\x11" - , vecSig = "\xc6\x50\xdd\xbb\x06\x01\xc1\x9c\xa1\x14\x39\xe1\x64\x0d\xd9\x31\xf4\x3c\x51\x8e\xa5\xbe\xa7\x0d\x3d\xcd\xe5\xf4\x19\x1f\xe5\x3f\x00\xcf\x96\x65\x46\xb7\x2b\xcc\x7d\x58\xbe\x2b\x9b\xad\xef\x28\x74\x39\x54\xe3\xa4\x4a\x23\xf8\x80\xe8\xd4\xf1\xcf\xce\x2d\x7a\x61\x45\x2d\x26\xda\x05\x89\x6f\x0a\x50\xda\x66\xa2\x39\xa8\xa1\x88\xb6\xd8\x25\xb3\x30\x5a\xd7\x7b\x73\xfb\xac\x08\x36\xec\xc6\x09\x87\xfd\x08\x52\x7c\x1a\x8e\x80\xd5\x82\x3e\x65\xca\xfe\x2a\x3d\x00" - } - , Vec - { vecSec = "\x87\x2d\x09\x37\x80\xf5\xd3\x73\x0d\xf7\xc2\x12\x66\x4b\x37\xb8\xa0\xf2\x4f\x56\x81\x0d\xaa\x83\x82\xcd\x4f\xa3\xf7\x76\x34\xec\x44\xdc\x54\xf1\xc2\xed\x9b\xea\x86\xfa\xfb\x76\x32\xd8\xbe\x19\x9e\xa1\x65\xf5\xad\x55\xdd\x9c\xe8" - , vecPub = "\xa8\x1b\x2e\x8a\x70\xa5\xac\x94\xff\xdb\xcc\x9b\xad\xfc\x3f\xeb\x08\x01\xf2\x58\x57\x8b\xb1\x14\xad\x44\xec\xe1\xec\x0e\x79\x9d\xa0\x8e\xff\xb8\x1c\x5d\x68\x5c\x0c\x56\xf6\x4e\xec\xae\xf8\xcd\xf1\x1c\xc3\x87\x37\x83\x8c\xf4\x00" - , vecMsg = 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- , vecSig = "\xe3\x01\x34\x5a\x41\xa3\x9a\x4d\x72\xff\xf8\xdf\x69\xc9\x80\x75\xa0\xcc\x08\x2b\x80\x2f\xc9\xb2\xb6\xbc\x50\x3f\x92\x6b\x65\xbd\xdf\x7f\x4c\x8f\x1c\xb4\x9f\x63\x96\xaf\xc8\xa7\x0a\xbe\x6d\x8a\xef\x0d\xb4\x78\xd4\xc6\xb2\x97\x00\x76\xc6\xa0\x48\x4f\xe7\x6d\x76\xb3\xa9\x76\x25\xd7\x9f\x1c\xe2\x40\xe7\xc5\x76\x75\x0d\x29\x55\x28\x28\x6f\x71\x9b\x41\x3d\xe9\xad\xa3\xe8\xeb\x78\xed\x57\x36\x03\xce\x30\xd8\xbb\x76\x17\x85\xdc\x30\xdb\xc3\x20\x86\x9e\x1a\x00" - } - ] - - -doPublicKeyTest i vec = testCase (show i) (pub @=? Ed448.toPublic sec) - where - !pub = throwCryptoError $ Ed448.publicKey (vecPub vec) - !sec = throwCryptoError $ Ed448.secretKey (vecSec vec) - -doSignatureTest i vec = testCase (show i) (sig @=? Ed448.sign sec pub (vecMsg vec)) - where - !sig = throwCryptoError $ Ed448.signature (vecSig vec) - !pub = throwCryptoError $ Ed448.publicKey (vecPub vec) - !sec = throwCryptoError $ Ed448.secretKey (vecSec vec) - -doVerifyTest i vec = testCase (show i) (True @=? Ed448.verify pub (vecMsg vec) sig) - where - !sig = throwCryptoError $ Ed448.signature (vecSig vec) - !pub = throwCryptoError $ Ed448.publicKey (vecPub vec) - - -tests = testGroup "Ed448" - [ testCase "gen secretkey" (Ed448.generateSecretKey *> pure ()) - , testGroup "gen publickey" $ zipWith doPublicKeyTest [katZero..] vectors - , testGroup "gen signature" $ zipWith doSignatureTest [katZero..] vectors - , testGroup "verify sig" $ zipWith doVerifyTest [katZero..] vectors - ] diff --git a/tests/KAT_EdDSA.hs b/tests/KAT_EdDSA.hs deleted file mode 100644 --- a/tests/KAT_EdDSA.hs +++ /dev/null @@ -1,131 +0,0 @@ -{-# LANGUAGE BangPatterns #-} -{-# LANGUAGE ExistentialQuantification #-} -{-# LANGUAGE GADTs #-} -{-# LANGUAGE OverloadedStrings #-} -{-# LANGUAGE RecordWildCards #-} -module KAT_EdDSA ( tests ) where - -import Crypto.Error -import Crypto.ECC -import Crypto.Hash.Algorithms -import Crypto.Hash.IO -import qualified Crypto.PubKey.EdDSA as EdDSA -import Imports - -data Vec = forall curve hash . - ( EdDSA.EllipticCurveEdDSA curve - , HashAlgorithm hash - , HashDigestSize hash ~ EdDSA.CurveDigestSize curve - ) => Vec - { vecPrx :: Maybe curve - , vecAlg :: hash - , vecSec :: ByteString - , vecPub :: ByteString - , vecMsg :: ByteString - , vecSig :: ByteString - } - -vectors = - [ Vec - { vecPrx = Just Curve_Edwards25519 - , vecAlg = SHA512 - , vecSec = "\x9d\x61\xb1\x9d\xef\xfd\x5a\x60\xba\x84\x4a\xf4\x92\xec\x2c\xc4\x44\x49\xc5\x69\x7b\x32\x69\x19\x70\x3b\xac\x03\x1c\xae\x7f\x60" - , vecPub = "\xd7\x5a\x98\x01\x82\xb1\x0a\xb7\xd5\x4b\xfe\xd3\xc9\x64\x07\x3a\x0e\xe1\x72\xf3\xda\xa6\x23\x25\xaf\x02\x1a\x68\xf7\x07\x51\x1a" - , vecMsg = "" - , vecSig = "\xe5\x56\x43\x00\xc3\x60\xac\x72\x90\x86\xe2\xcc\x80\x6e\x82\x8a\x84\x87\x7f\x1e\xb8\xe5\xd9\x74\xd8\x73\xe0\x65\x22\x49\x01\x55\x5f\xb8\x82\x15\x90\xa3\x3b\xac\xc6\x1e\x39\x70\x1c\xf9\xb4\x6b\xd2\x5b\xf5\xf0\x59\x5b\xbe\x24\x65\x51\x41\x43\x8e\x7a\x10\x0b" - } - , Vec - { vecPrx = Just Curve_Edwards25519 - , vecAlg = SHA512 - , vecSec = "\x4c\xcd\x08\x9b\x28\xff\x96\xda\x9d\xb6\xc3\x46\xec\x11\x4e\x0f\x5b\x8a\x31\x9f\x35\xab\xa6\x24\xda\x8c\xf6\xed\x4f\xb8\xa6\xfb" - , vecPub = "\x3d\x40\x17\xc3\xe8\x43\x89\x5a\x92\xb7\x0a\xa7\x4d\x1b\x7e\xbc\x9c\x98\x2c\xcf\x2e\xc4\x96\x8c\xc0\xcd\x55\xf1\x2a\xf4\x66\x0c" - , vecMsg = "\x72" - , vecSig = "\x92\xa0\x09\xa9\xf0\xd4\xca\xb8\x72\x0e\x82\x0b\x5f\x64\x25\x40\xa2\xb2\x7b\x54\x16\x50\x3f\x8f\xb3\x76\x22\x23\xeb\xdb\x69\xda\x08\x5a\xc1\xe4\x3e\x15\x99\x6e\x45\x8f\x36\x13\xd0\xf1\x1d\x8c\x38\x7b\x2e\xae\xb4\x30\x2a\xee\xb0\x0d\x29\x16\x12\xbb\x0c\x00" - } - , Vec - { vecPrx = Just Curve_Edwards25519 - , vecAlg = SHA512 - , vecSec = "\xc5\xaa\x8d\xf4\x3f\x9f\x83\x7b\xed\xb7\x44\x2f\x31\xdc\xb7\xb1\x66\xd3\x85\x35\x07\x6f\x09\x4b\x85\xce\x3a\x2e\x0b\x44\x58\xf7" - , vecPub = "\xfc\x51\xcd\x8e\x62\x18\xa1\xa3\x8d\xa4\x7e\xd0\x02\x30\xf0\x58\x08\x16\xed\x13\xba\x33\x03\xac\x5d\xeb\x91\x15\x48\x90\x80\x25" - , vecMsg = "\xaf\x82" - , vecSig = "\x62\x91\xd6\x57\xde\xec\x24\x02\x48\x27\xe6\x9c\x3a\xbe\x01\xa3\x0c\xe5\x48\xa2\x84\x74\x3a\x44\x5e\x36\x80\xd7\xdb\x5a\xc3\xac\x18\xff\x9b\x53\x8d\x16\xf2\x90\xae\x67\xf7\x60\x98\x4d\xc6\x59\x4a\x7c\x15\xe9\x71\x6e\xd2\x8d\xc0\x27\xbe\xce\xea\x1e\xc4\x0a" - } - , Vec - { vecPrx = Just Curve_Edwards25519 - , vecAlg = SHA512 - , vecSec = "\xf5\xe5\x76\x7c\xf1\x53\x31\x95\x17\x63\x0f\x22\x68\x76\xb8\x6c\x81\x60\xcc\x58\x3b\xc0\x13\x74\x4c\x6b\xf2\x55\xf5\xcc\x0e\xe5" - , vecPub = "\x27\x81\x17\xfc\x14\x4c\x72\x34\x0f\x67\xd0\xf2\x31\x6e\x83\x86\xce\xff\xbf\x2b\x24\x28\xc9\xc5\x1f\xef\x7c\x59\x7f\x1d\x42\x6e" - , vecMsg = "\x08\xb8\xb2\xb7\x33\x42\x42\x43\x76\x0f\xe4\x26\xa4\xb5\x49\x08\x63\x21\x10\xa6\x6c\x2f\x65\x91\xea\xbd\x33\x45\xe3\xe4\xeb\x98\xfa\x6e\x26\x4b\xf0\x9e\xfe\x12\xee\x50\xf8\xf5\x4e\x9f\x77\xb1\xe3\x55\xf6\xc5\x05\x44\xe2\x3f\xb1\x43\x3d\xdf\x73\xbe\x84\xd8\x79\xde\x7c\x00\x46\xdc\x49\x96\xd9\xe7\x73\xf4\xbc\x9e\xfe\x57\x38\x82\x9a\xdb\x26\xc8\x1b\x37\xc9\x3a\x1b\x27\x0b\x20\x32\x9d\x65\x86\x75\xfc\x6e\xa5\x34\xe0\x81\x0a\x44\x32\x82\x6b\xf5\x8c\x94\x1e\xfb\x65\xd5\x7a\x33\x8b\xbd\x2e\x26\x64\x0f\x89\xff\xbc\x1a\x85\x8e\xfc\xb8\x55\x0e\xe3\xa5\xe1\x99\x8b\xd1\x77\xe9\x3a\x73\x63\xc3\x44\xfe\x6b\x19\x9e\xe5\xd0\x2e\x82\xd5\x22\xc4\xfe\xba\x15\x45\x2f\x80\x28\x8a\x82\x1a\x57\x91\x16\xec\x6d\xad\x2b\x3b\x31\x0d\xa9\x03\x40\x1a\xa6\x21\x00\xab\x5d\x1a\x36\x55\x3e\x06\x20\x3b\x33\x89\x0c\xc9\xb8\x32\xf7\x9e\xf8\x05\x60\xcc\xb9\xa3\x9c\xe7\x67\x96\x7e\xd6\x28\xc6\xad\x57\x3c\xb1\x16\xdb\xef\xef\xd7\x54\x99\xda\x96\xbd\x68\xa8\xa9\x7b\x92\x8a\x8b\xbc\x10\x3b\x66\x21\xfc\xde\x2b\xec\xa1\x23\x1d\x20\x6b\xe6\xcd\x9e\xc7\xaf\xf6\xf6\xc9\x4f\xcd\x72\x04\xed\x34\x55\xc6\x8c\x83\xf4\xa4\x1d\xa4\xaf\x2b\x74\xef\x5c\x53\xf1\xd8\xac\x70\xbd\xcb\x7e\xd1\x85\xce\x81\xbd\x84\x35\x9d\x44\x25\x4d\x95\x62\x9e\x98\x55\xa9\x4a\x7c\x19\x58\xd1\xf8\xad\xa5\xd0\x53\x2e\xd8\xa5\xaa\x3f\xb2\xd1\x7b\xa7\x0e\xb6\x24\x8e\x59\x4e\x1a\x22\x97\xac\xbb\xb3\x9d\x50\x2f\x1a\x8c\x6e\xb6\xf1\xce\x22\xb3\xde\x1a\x1f\x40\xcc\x24\x55\x41\x19\xa8\x31\xa9\xaa\xd6\x07\x9c\xad\x88\x42\x5d\xe6\xbd\xe1\xa9\x18\x7e\xbb\x60\x92\xcf\x67\xbf\x2b\x13\xfd\x65\xf2\x70\x88\xd7\x8b\x7e\x88\x3c\x87\x59\xd2\xc4\xf5\xc6\x5a\xdb\x75\x53\x87\x8a\xd5\x75\xf9\xfa\xd8\x78\xe8\x0a\x0c\x9b\xa6\x3b\xcb\xcc\x27\x32\xe6\x94\x85\xbb\xc9\xc9\x0b\xfb\xd6\x24\x81\xd9\x08\x9b\xec\xcf\x80\xcf\xe2\xdf\x16\xa2\xcf\x65\xbd\x92\xdd\x59\x7b\x07\x07\xe0\x91\x7a\xf4\x8b\xbb\x75\xfe\xd4\x13\xd2\x38\xf5\x55\x5a\x7a\x56\x9d\x80\xc3\x41\x4a\x8d\x08\x59\xdc\x65\xa4\x61\x28\xba\xb2\x7a\xf8\x7a\x71\x31\x4f\x31\x8c\x78\x2b\x23\xeb\xfe\x80\x8b\x82\xb0\xce\x26\x40\x1d\x2e\x22\xf0\x4d\x83\xd1\x25\x5d\xc5\x1a\xdd\xd3\xb7\x5a\x2b\x1a\xe0\x78\x45\x04\xdf\x54\x3a\xf8\x96\x9b\xe3\xea\x70\x82\xff\x7f\xc9\x88\x8c\x14\x4d\xa2\xaf\x58\x42\x9e\xc9\x60\x31\xdb\xca\xd3\xda\xd9\xaf\x0d\xcb\xaa\xaf\x26\x8c\xb8\xfc\xff\xea\xd9\x4f\x3c\x7c\xa4\x95\xe0\x56\xa9\xb4\x7a\xcd\xb7\x51\xfb\x73\xe6\x66\xc6\xc6\x55\xad\xe8\x29\x72\x97\xd0\x7a\xd1\xba\x5e\x43\xf1\xbc\xa3\x23\x01\x65\x13\x39\xe2\x29\x04\xcc\x8c\x42\xf5\x8c\x30\xc0\x4a\xaf\xdb\x03\x8d\xda\x08\x47\xdd\x98\x8d\xcd\xa6\xf3\xbf\xd1\x5c\x4b\x4c\x45\x25\x00\x4a\xa0\x6e\xef\xf8\xca\x61\x78\x3a\xac\xec\x57\xfb\x3d\x1f\x92\xb0\xfe\x2f\xd1\xa8\x5f\x67\x24\x51\x7b\x65\xe6\x14\xad\x68\x08\xd6\xf6\xee\x34\xdf\xf7\x31\x0f\xdc\x82\xae\xbf\xd9\x04\xb0\x1e\x1d\xc5\x4b\x29\x27\x09\x4b\x2d\xb6\x8d\x6f\x90\x3b\x68\x40\x1a\xde\xbf\x5a\x7e\x08\xd7\x8f\xf4\xef\x5d\x63\x65\x3a\x65\x04\x0c\xf9\xbf\xd4\xac\xa7\x98\x4a\x74\xd3\x71\x45\x98\x67\x80\xfc\x0b\x16\xac\x45\x16\x49\xde\x61\x88\xa7\xdb\xdf\x19\x1f\x64\xb5\xfc\x5e\x2a\xb4\x7b\x57\xf7\xf7\x27\x6c\xd4\x19\xc1\x7a\x3c\xa8\xe1\xb9\x39\xae\x49\xe4\x88\xac\xba\x6b\x96\x56\x10\xb5\x48\x01\x09\xc8\xb1\x7b\x80\xe1\xb7\xb7\x50\xdf\xc7\x59\x8d\x5d\x50\x11\xfd\x2d\xcc\x56\x00\xa3\x2e\xf5\xb5\x2a\x1e\xcc\x82\x0e\x30\x8a\xa3\x42\x72\x1a\xac\x09\x43\xbf\x66\x86\xb6\x4b\x25\x79\x37\x65\x04\xcc\xc4\x93\xd9\x7e\x6a\xed\x3f\xb0\xf9\xcd\x71\xa4\x3d\xd4\x97\xf0\x1f\x17\xc0\xe2\xcb\x37\x97\xaa\x2a\x2f\x25\x66\x56\x16\x8e\x6c\x49\x6a\xfc\x5f\xb9\x32\x46\xf6\xb1\x11\x63\x98\xa3\x46\xf1\xa6\x41\xf3\xb0\x41\xe9\x89\xf7\x91\x4f\x90\xcc\x2c\x7f\xff\x35\x78\x76\xe5\x06\xb5\x0d\x33\x4b\xa7\x7c\x22\x5b\xc3\x07\xba\x53\x71\x52\xf3\xf1\x61\x0e\x4e\xaf\xe5\x95\xf6\xd9\xd9\x0d\x11\xfa\xa9\x33\xa1\x5e\xf1\x36\x95\x46\x86\x8a\x7f\x3a\x45\xa9\x67\x68\xd4\x0f\xd9\xd0\x34\x12\xc0\x91\xc6\x31\x5c\xf4\xfd\xe7\xcb\x68\x60\x69\x37\x38\x0d\xb2\xea\xaa\x70\x7b\x4c\x41\x85\xc3\x2e\xdd\xcd\xd3\x06\x70\x5e\x4d\xc1\xff\xc8\x72\xee\xee\x47\x5a\x64\xdf\xac\x86\xab\xa4\x1c\x06\x18\x98\x3f\x87\x41\xc5\xef\x68\xd3\xa1\x01\xe8\xa3\xb8\xca\xc6\x0c\x90\x5c\x15\xfc\x91\x08\x40\xb9\x4c\x00\xa0\xb9\xd0" - , vecSig = "\x0a\xab\x4c\x90\x05\x01\xb3\xe2\x4d\x7c\xdf\x46\x63\x32\x6a\x3a\x87\xdf\x5e\x48\x43\xb2\xcb\xdb\x67\xcb\xf6\xe4\x60\xfe\xc3\x50\xaa\x53\x71\xb1\x50\x8f\x9f\x45\x28\xec\xea\x23\xc4\x36\xd9\x4b\x5e\x8f\xcd\x4f\x68\x1e\x30\xa6\xac\x00\xa9\x70\x4a\x18\x8a\x03" - } - , Vec - { vecPrx = Just Curve_Edwards25519 - , vecAlg = SHA512 - , vecSec = "\x83\x3f\xe6\x24\x09\x23\x7b\x9d\x62\xec\x77\x58\x75\x20\x91\x1e\x9a\x75\x9c\xec\x1d\x19\x75\x5b\x7d\xa9\x01\xb9\x6d\xca\x3d\x42" - , vecPub = "\xec\x17\x2b\x93\xad\x5e\x56\x3b\xf4\x93\x2c\x70\xe1\x24\x50\x34\xc3\x54\x67\xef\x2e\xfd\x4d\x64\xeb\xf8\x19\x68\x34\x67\xe2\xbf" - , vecMsg = "\xdd\xaf\x35\xa1\x93\x61\x7a\xba\xcc\x41\x73\x49\xae\x20\x41\x31\x12\xe6\xfa\x4e\x89\xa9\x7e\xa2\x0a\x9e\xee\xe6\x4b\x55\xd3\x9a\x21\x92\x99\x2a\x27\x4f\xc1\xa8\x36\xba\x3c\x23\xa3\xfe\xeb\xbd\x45\x4d\x44\x23\x64\x3c\xe8\x0e\x2a\x9a\xc9\x4f\xa5\x4c\xa4\x9f" - , vecSig = "\xdc\x2a\x44\x59\xe7\x36\x96\x33\xa5\x2b\x1b\xf2\x77\x83\x9a\x00\x20\x10\x09\xa3\xef\xbf\x3e\xcb\x69\xbe\xa2\x18\x6c\x26\xb5\x89\x09\x35\x1f\xc9\xac\x90\xb3\xec\xfd\xfb\xc7\xc6\x64\x31\xe0\x30\x3d\xca\x17\x9c\x13\x8a\xc1\x7a\xd9\xbe\xf1\x17\x73\x31\xa7\x04" - } - , Vec - { vecPrx = Just Curve_Edwards25519 - , vecAlg = Blake2b_512 - , vecSec = "\x9d\x61\xb1\x9d\xef\xfd\x5a\x60\xba\x84\x4a\xf4\x92\xec\x2c\xc4\x44\x49\xc5\x69\x7b\x32\x69\x19\x70\x3b\xac\x03\x1c\xae\x7f\x60" - , vecPub = "\x78\xe6\x5b\xf3\x0f\x89\x3d\x32\xfc\x57\xef\x05\x1c\x34\x1b\xde\xde\x24\x25\x44\xfc\x2a\x21\x12\xf0\xfa\x2c\x7a\xfd\xeb\xc0\x2f" - , vecMsg = "" - , vecSig = "\x99\xa5\x23\xbd\x46\x16\xc8\x16\x11\x44\xd6\xa9\x9d\x3c\x32\x40\x0c\xb4\xa3\x26\xf4\xd7\x9e\x30\x73\x40\xf6\xaf\xa1\x17\x50\xa0\x08\x5d\x7d\x84\x62\x6b\xc9\xe4\xb1\x53\xfc\x0e\x39\x6d\x15\xce\x44\xc3\x9b\xae\x45\x33\x80\x4d\xb1\xfe\x5b\x52\xf2\xb1\xb8\x05" - } - , Vec - { vecPrx = Just Curve_Edwards25519 - , vecAlg = Blake2b_512 - , vecSec = "\x4c\xcd\x08\x9b\x28\xff\x96\xda\x9d\xb6\xc3\x46\xec\x11\x4e\x0f\x5b\x8a\x31\x9f\x35\xab\xa6\x24\xda\x8c\xf6\xed\x4f\xb8\xa6\xfb" - , vecPub = "\x5e\x71\x39\x2d\x91\xe6\xa5\x8f\xed\xeb\x08\x50\x36\x4f\x56\xcd\x15\x8a\x60\x44\x75\x57\xd7\x89\x03\x89\xc9\xb3\xd4\x57\x6d\x4d" - , vecMsg = "\x72" - , vecSig = "\x6d\xa7\x5e\x15\xb5\x70\x7f\x4d\xe5\xa1\x53\xc4\x8a\x5d\x83\x9f\xb8\x50\x74\xc3\x8a\xeb\x62\x85\x97\x7f\x03\xa1\x39\x77\x59\x7f\x97\x60\x69\xfd\xb9\x03\xf1\x83\x47\x4a\xaa\x5e\xd0\xcf\xe8\x78\xba\x8e\xf8\x68\xc5\xe4\x7c\xa3\xf9\x6c\xcf\xb3\xa8\x9b\x2a\x06" - } - , Vec - { vecPrx = Just Curve_Edwards25519 - , vecAlg = Blake2b_512 - , vecSec = "\xc5\xaa\x8d\xf4\x3f\x9f\x83\x7b\xed\xb7\x44\x2f\x31\xdc\xb7\xb1\x66\xd3\x85\x35\x07\x6f\x09\x4b\x85\xce\x3a\x2e\x0b\x44\x58\xf7" - , vecPub = "\x8d\x53\xca\x70\xf0\xea\xb2\x3b\x91\x78\x34\x57\x85\xfc\xdb\x69\xed\x67\x23\xf8\x14\x8f\x7e\x33\x9e\x88\x65\x37\x00\xb7\x18\xda" - , vecMsg = "\xaf\x82" - , vecSig = "\x7c\xc3\xc1\x38\x52\xbd\x12\xab\xf3\xce\x4c\xa8\xca\x28\x36\xcb\xf8\x6d\xa9\x6c\x46\x34\xc5\x0d\xf3\xfb\x80\xdc\x80\x9e\x29\xdb\x0e\x10\x9c\x36\x13\x53\x40\x7c\x12\x36\xa9\x04\xf6\x36\x86\x8a\xa3\x39\x77\xa9\x9d\x3f\x84\x45\x98\xdb\x15\x38\xb4\x29\x52\x03" - } - , Vec - { vecPrx = Just Curve_Edwards25519 - , vecAlg = Blake2b_512 - , vecSec = "\xf5\xe5\x76\x7c\xf1\x53\x31\x95\x17\x63\x0f\x22\x68\x76\xb8\x6c\x81\x60\xcc\x58\x3b\xc0\x13\x74\x4c\x6b\xf2\x55\xf5\xcc\x0e\xe5" - , vecPub = "\x9e\x3c\xa4\x9b\xb2\xd9\xe3\x6b\x8f\x0c\x94\x4a\x7b\x1c\x29\x26\x45\xda\x87\xce\x6f\xa6\xb4\x28\x86\xe5\xd7\xc8\x68\x33\xa7\x14" - , vecMsg = "\x08\xb8\xb2\xb7\x33\x42\x42\x43\x76\x0f\xe4\x26\xa4\xb5\x49\x08\x63\x21\x10\xa6\x6c\x2f\x65\x91\xea\xbd\x33\x45\xe3\xe4\xeb\x98\xfa\x6e\x26\x4b\xf0\x9e\xfe\x12\xee\x50\xf8\xf5\x4e\x9f\x77\xb1\xe3\x55\xf6\xc5\x05\x44\xe2\x3f\xb1\x43\x3d\xdf\x73\xbe\x84\xd8\x79\xde\x7c\x00\x46\xdc\x49\x96\xd9\xe7\x73\xf4\xbc\x9e\xfe\x57\x38\x82\x9a\xdb\x26\xc8\x1b\x37\xc9\x3a\x1b\x27\x0b\x20\x32\x9d\x65\x86\x75\xfc\x6e\xa5\x34\xe0\x81\x0a\x44\x32\x82\x6b\xf5\x8c\x94\x1e\xfb\x65\xd5\x7a\x33\x8b\xbd\x2e\x26\x64\x0f\x89\xff\xbc\x1a\x85\x8e\xfc\xb8\x55\x0e\xe3\xa5\xe1\x99\x8b\xd1\x77\xe9\x3a\x73\x63\xc3\x44\xfe\x6b\x19\x9e\xe5\xd0\x2e\x82\xd5\x22\xc4\xfe\xba\x15\x45\x2f\x80\x28\x8a\x82\x1a\x57\x91\x16\xec\x6d\xad\x2b\x3b\x31\x0d\xa9\x03\x40\x1a\xa6\x21\x00\xab\x5d\x1a\x36\x55\x3e\x06\x20\x3b\x33\x89\x0c\xc9\xb8\x32\xf7\x9e\xf8\x05\x60\xcc\xb9\xa3\x9c\xe7\x67\x96\x7e\xd6\x28\xc6\xad\x57\x3c\xb1\x16\xdb\xef\xef\xd7\x54\x99\xda\x96\xbd\x68\xa8\xa9\x7b\x92\x8a\x8b\xbc\x10\x3b\x66\x21\xfc\xde\x2b\xec\xa1\x23\x1d\x20\x6b\xe6\xcd\x9e\xc7\xaf\xf6\xf6\xc9\x4f\xcd\x72\x04\xed\x34\x55\xc6\x8c\x83\xf4\xa4\x1d\xa4\xaf\x2b\x74\xef\x5c\x53\xf1\xd8\xac\x70\xbd\xcb\x7e\xd1\x85\xce\x81\xbd\x84\x35\x9d\x44\x25\x4d\x95\x62\x9e\x98\x55\xa9\x4a\x7c\x19\x58\xd1\xf8\xad\xa5\xd0\x53\x2e\xd8\xa5\xaa\x3f\xb2\xd1\x7b\xa7\x0e\xb6\x24\x8e\x59\x4e\x1a\x22\x97\xac\xbb\xb3\x9d\x50\x2f\x1a\x8c\x6e\xb6\xf1\xce\x22\xb3\xde\x1a\x1f\x40\xcc\x24\x55\x41\x19\xa8\x31\xa9\xaa\xd6\x07\x9c\xad\x88\x42\x5d\xe6\xbd\xe1\xa9\x18\x7e\xbb\x60\x92\xcf\x67\xbf\x2b\x13\xfd\x65\xf2\x70\x88\xd7\x8b\x7e\x88\x3c\x87\x59\xd2\xc4\xf5\xc6\x5a\xdb\x75\x53\x87\x8a\xd5\x75\xf9\xfa\xd8\x78\xe8\x0a\x0c\x9b\xa6\x3b\xcb\xcc\x27\x32\xe6\x94\x85\xbb\xc9\xc9\x0b\xfb\xd6\x24\x81\xd9\x08\x9b\xec\xcf\x80\xcf\xe2\xdf\x16\xa2\xcf\x65\xbd\x92\xdd\x59\x7b\x07\x07\xe0\x91\x7a\xf4\x8b\xbb\x75\xfe\xd4\x13\xd2\x38\xf5\x55\x5a\x7a\x56\x9d\x80\xc3\x41\x4a\x8d\x08\x59\xdc\x65\xa4\x61\x28\xba\xb2\x7a\xf8\x7a\x71\x31\x4f\x31\x8c\x78\x2b\x23\xeb\xfe\x80\x8b\x82\xb0\xce\x26\x40\x1d\x2e\x22\xf0\x4d\x83\xd1\x25\x5d\xc5\x1a\xdd\xd3\xb7\x5a\x2b\x1a\xe0\x78\x45\x04\xdf\x54\x3a\xf8\x96\x9b\xe3\xea\x70\x82\xff\x7f\xc9\x88\x8c\x14\x4d\xa2\xaf\x58\x42\x9e\xc9\x60\x31\xdb\xca\xd3\xda\xd9\xaf\x0d\xcb\xaa\xaf\x26\x8c\xb8\xfc\xff\xea\xd9\x4f\x3c\x7c\xa4\x95\xe0\x56\xa9\xb4\x7a\xcd\xb7\x51\xfb\x73\xe6\x66\xc6\xc6\x55\xad\xe8\x29\x72\x97\xd0\x7a\xd1\xba\x5e\x43\xf1\xbc\xa3\x23\x01\x65\x13\x39\xe2\x29\x04\xcc\x8c\x42\xf5\x8c\x30\xc0\x4a\xaf\xdb\x03\x8d\xda\x08\x47\xdd\x98\x8d\xcd\xa6\xf3\xbf\xd1\x5c\x4b\x4c\x45\x25\x00\x4a\xa0\x6e\xef\xf8\xca\x61\x78\x3a\xac\xec\x57\xfb\x3d\x1f\x92\xb0\xfe\x2f\xd1\xa8\x5f\x67\x24\x51\x7b\x65\xe6\x14\xad\x68\x08\xd6\xf6\xee\x34\xdf\xf7\x31\x0f\xdc\x82\xae\xbf\xd9\x04\xb0\x1e\x1d\xc5\x4b\x29\x27\x09\x4b\x2d\xb6\x8d\x6f\x90\x3b\x68\x40\x1a\xde\xbf\x5a\x7e\x08\xd7\x8f\xf4\xef\x5d\x63\x65\x3a\x65\x04\x0c\xf9\xbf\xd4\xac\xa7\x98\x4a\x74\xd3\x71\x45\x98\x67\x80\xfc\x0b\x16\xac\x45\x16\x49\xde\x61\x88\xa7\xdb\xdf\x19\x1f\x64\xb5\xfc\x5e\x2a\xb4\x7b\x57\xf7\xf7\x27\x6c\xd4\x19\xc1\x7a\x3c\xa8\xe1\xb9\x39\xae\x49\xe4\x88\xac\xba\x6b\x96\x56\x10\xb5\x48\x01\x09\xc8\xb1\x7b\x80\xe1\xb7\xb7\x50\xdf\xc7\x59\x8d\x5d\x50\x11\xfd\x2d\xcc\x56\x00\xa3\x2e\xf5\xb5\x2a\x1e\xcc\x82\x0e\x30\x8a\xa3\x42\x72\x1a\xac\x09\x43\xbf\x66\x86\xb6\x4b\x25\x79\x37\x65\x04\xcc\xc4\x93\xd9\x7e\x6a\xed\x3f\xb0\xf9\xcd\x71\xa4\x3d\xd4\x97\xf0\x1f\x17\xc0\xe2\xcb\x37\x97\xaa\x2a\x2f\x25\x66\x56\x16\x8e\x6c\x49\x6a\xfc\x5f\xb9\x32\x46\xf6\xb1\x11\x63\x98\xa3\x46\xf1\xa6\x41\xf3\xb0\x41\xe9\x89\xf7\x91\x4f\x90\xcc\x2c\x7f\xff\x35\x78\x76\xe5\x06\xb5\x0d\x33\x4b\xa7\x7c\x22\x5b\xc3\x07\xba\x53\x71\x52\xf3\xf1\x61\x0e\x4e\xaf\xe5\x95\xf6\xd9\xd9\x0d\x11\xfa\xa9\x33\xa1\x5e\xf1\x36\x95\x46\x86\x8a\x7f\x3a\x45\xa9\x67\x68\xd4\x0f\xd9\xd0\x34\x12\xc0\x91\xc6\x31\x5c\xf4\xfd\xe7\xcb\x68\x60\x69\x37\x38\x0d\xb2\xea\xaa\x70\x7b\x4c\x41\x85\xc3\x2e\xdd\xcd\xd3\x06\x70\x5e\x4d\xc1\xff\xc8\x72\xee\xee\x47\x5a\x64\xdf\xac\x86\xab\xa4\x1c\x06\x18\x98\x3f\x87\x41\xc5\xef\x68\xd3\xa1\x01\xe8\xa3\xb8\xca\xc6\x0c\x90\x5c\x15\xfc\x91\x08\x40\xb9\x4c\x00\xa0\xb9\xd0" - , vecSig = "\xd0\x39\x65\xac\x31\x6a\x20\xf5\xa4\x7a\xb2\xd6\x18\x5e\xb3\xf0\xae\xea\x9c\x2e\xb8\xab\xe9\x22\xe9\x6d\x31\x7b\x3b\xd0\xef\x02\xe8\xd4\x7f\xd9\x23\x84\xe2\x86\x15\xeb\x33\x14\xad\xbc\x71\xc4\x67\x59\x96\x09\x9e\x48\x4c\xeb\x16\x28\x47\xc4\x0c\x32\x44\x0e" - } - ] - - -doPublicKeyTest :: Int -> Vec -> TestTree -doPublicKeyTest i Vec{..} = - testCase (show i) (pub @=? EdDSA.toPublic vecPrx vecAlg sec) - where - !pub = throwCryptoError $ EdDSA.publicKey vecPrx vecAlg vecPub - !sec = throwCryptoError $ EdDSA.secretKey vecPrx vecSec - -doSignatureTest :: Int -> Vec -> TestTree -doSignatureTest i Vec{..} = - testCase (show i) (sig @=? EdDSA.sign vecPrx sec pub vecMsg) - where - !sig = throwCryptoError $ EdDSA.signature vecPrx vecAlg vecSig - !pub = throwCryptoError $ EdDSA.publicKey vecPrx vecAlg vecPub - !sec = throwCryptoError $ EdDSA.secretKey vecPrx vecSec - -doVerifyTest :: Int -> Vec -> TestTree -doVerifyTest i Vec{..} = - testCase (show i) (True @=? EdDSA.verify vecPrx pub vecMsg sig) - where - !sig = throwCryptoError $ EdDSA.signature vecPrx vecAlg vecSig - !pub = throwCryptoError $ EdDSA.publicKey vecPrx vecAlg vecPub - - -tests = testGroup "EdDSA" - [ testGroup "gen publickey" $ zipWith doPublicKeyTest [katZero..] vectors - , testGroup "gen signature" $ zipWith doSignatureTest [katZero..] vectors - , testGroup "verify sig" $ zipWith doVerifyTest [katZero..] vectors - ] diff --git a/tests/KAT_HKDF.hs b/tests/KAT_HKDF.hs deleted file mode 100644 --- a/tests/KAT_HKDF.hs +++ /dev/null @@ -1,51 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_HKDF (tests) where - -import qualified Crypto.KDF.HKDF as HKDF -import Crypto.Hash (SHA256(..), HashAlgorithm) -import qualified Data.ByteString as B - -import Imports - - -data KDFVector hash = KDFVector - { kdfIKM :: ByteString - , kdfSalt :: ByteString - , kdfInfo :: ByteString - , kdfResult :: ByteString - } - -sha256KDFVectors :: [KDFVector SHA256] -sha256KDFVectors = - [ KDFVector - "\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b" - (B.pack [0x00,0x01,0x02,0x03,0x04,0x05,0x06,0x07,0x08,0x09,0x0a,0x0b,0x0c]) - "\xf0\xf1\xf2\xf3\xf4\xf5\xf6\xf7\xf8\xf9" - "\x3c\xb2\x5f\x25\xfa\xac\xd5\x7a\x90\x43\x4f\x64\xd0\x36\x2f\x2a\x2d\x2d\x0a\x90\xcf\x1a\x5a\x4c\x5d\xb0\x2d\x56\xec\xc4\xc5\xbf\x34\x00\x72\x08\xd5\xb8\x87\x18\x58\x65" - , KDFVector - (B.pack [0x00,0x01,0x02,0x03,0x04,0x05,0x06,0x07,0x08,0x09,0x0a,0x0b,0x0c,0x0d,0x0e,0x0f,0x10,0x11,0x12,0x13,0x14,0x15,0x16,0x17,0x18,0x19,0x1a,0x1b,0x1c,0x1d,0x1e,0x1f,0x20,0x21,0x22,0x23,0x24,0x25,0x26,0x27,0x28,0x29,0x2a,0x2b,0x2c,0x2d,0x2e,0x2f,0x30,0x31,0x32,0x33,0x34,0x35,0x36,0x37,0x38,0x39,0x3a,0x3b,0x3c,0x3d,0x3e,0x3f,0x40,0x41,0x42,0x43,0x44,0x45,0x46,0x47,0x48,0x49,0x4a,0x4b,0x4c,0x4d,0x4e,0x4f]) - (B.pack [0x60,0x61,0x62,0x63,0x64,0x65,0x66,0x67,0x68,0x69,0x6a,0x6b,0x6c,0x6d,0x6e,0x6f,0x70,0x71,0x72,0x73,0x74,0x75,0x76,0x77,0x78,0x79,0x7a,0x7b,0x7c,0x7d,0x7e,0x7f,0x80,0x81,0x82,0x83,0x84,0x85,0x86,0x87,0x88,0x89,0x8a,0x8b,0x8c,0x8d,0x8e,0x8f,0x90,0x91,0x92,0x93,0x94,0x95,0x96,0x97,0x98,0x99,0x9a,0x9b,0x9c,0x9d,0x9e,0x9f,0xa0,0xa1,0xa2,0xa3,0xa4,0xa5,0xa6,0xa7,0xa8,0xa9,0xaa,0xab,0xac,0xad,0xae,0xaf]) - (B.pack [0xb0,0xb1,0xb2,0xb3,0xb4,0xb5,0xb6,0xb7,0xb8,0xb9,0xba,0xbb,0xbc,0xbd,0xbe,0xbf,0xc0,0xc1,0xc2,0xc3,0xc4,0xc5,0xc6,0xc7,0xc8,0xc9,0xca,0xcb,0xcc,0xcd,0xce,0xcf,0xd0,0xd1,0xd2,0xd3,0xd4,0xd5,0xd6,0xd7,0xd8,0xd9,0xda,0xdb,0xdc,0xdd,0xde,0xdf,0xe0,0xe1,0xe2,0xe3,0xe4,0xe5,0xe6,0xe7,0xe8,0xe9,0xea,0xeb,0xec,0xed,0xee,0xef,0xf0,0xf1,0xf2,0xf3,0xf4,0xf5,0xf6,0xf7,0xf8,0xf9,0xfa,0xfb,0xfc,0xfd,0xfe,0xff]) - (B.pack [0xb1,0x1e,0x39,0x8d,0xc8,0x03,0x27,0xa1,0xc8,0xe7,0xf7,0x8c,0x59,0x6a,0x49,0x34,0x4f,0x01,0x2e,0xda,0x2d,0x4e,0xfa,0xd8,0xa0,0x50,0xcc,0x4c,0x19,0xaf,0xa9,0x7c,0x59,0x04,0x5a,0x99,0xca,0xc7,0x82,0x72,0x71,0xcb,0x41,0xc6,0x5e,0x59,0x0e,0x09,0xda,0x32,0x75,0x60,0x0c,0x2f,0x09,0xb8,0x36,0x77,0x93,0xa9,0xac,0xa3,0xdb,0x71,0xcc,0x30,0xc5,0x81,0x79,0xec,0x3e,0x87,0xc1,0x4c,0x01,0xd5,0xc1,0xf3,0x43,0x4f,0x1d,0x87]) - ] - -kdfTests :: [TestTree] -kdfTests = - [ testGroup "sha256" $ concatMap toKDFTest $ zip is sha256KDFVectors - ] - where toKDFTest (i, kdfVector) = - [ testCase (show i) (t HKDF.extract kdfVector) - ] - - t :: HashAlgorithm a => (ByteString -> ByteString -> HKDF.PRK a) -> KDFVector a -> Assertion - t ext v = - let prk = ext (kdfSalt v) (kdfIKM v) - in kdfResult v @=? HKDF.expand prk (kdfInfo v) (B.length $ kdfResult v) - - is :: [Int] - is = [1..] - - -tests = testGroup "HKDF" - [ testGroup "KATs" kdfTests - ] diff --git a/tests/KAT_HMAC.hs b/tests/KAT_HMAC.hs deleted file mode 100644 --- a/tests/KAT_HMAC.hs +++ /dev/null @@ -1,161 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_HMAC (tests) where - -import qualified Crypto.MAC.HMAC as HMAC -import Crypto.Hash (MD5(..), SHA1(..), SHA256(..) - , Keccak_224(..), Keccak_256(..), Keccak_384(..), Keccak_512(..) - , SHA3_224(..), SHA3_256(..), SHA3_384(..), SHA3_512(..) - , HashAlgorithm, digestFromByteString) -import qualified Data.ByteString as B - -import Imports - -data MACVector hash = MACVector - { macKey :: ByteString - , macSecret :: ByteString - , macResult :: HMAC.HMAC hash - } - -instance Show (HMAC.HMAC a) where - show (HMAC.HMAC d) = show d - -digest :: HashAlgorithm hash => ByteString -> HMAC.HMAC hash -digest = maybe (error "cannot get digest") HMAC.HMAC . digestFromByteString - -v1 :: ByteString -v1 = "The quick brown fox jumps over the lazy dog" - -md5MACVectors :: [MACVector MD5] -md5MACVectors = - [ MACVector B.empty B.empty $ digest "\x74\xe6\xf7\x29\x8a\x9c\x2d\x16\x89\x35\xf5\x8c\x00\x1b\xad\x88" - , MACVector "key" v1 $ digest "\x80\x07\x07\x13\x46\x3e\x77\x49\xb9\x0c\x2d\xc2\x49\x11\xe2\x75" - ] - -sha1MACVectors :: [MACVector SHA1] -sha1MACVectors = - [ MACVector B.empty B.empty $ digest "\xfb\xdb\x1d\x1b\x18\xaa\x6c\x08\x32\x4b\x7d\x64\xb7\x1f\xb7\x63\x70\x69\x0e\x1d" - , MACVector "key" v1 $ digest "\xde\x7c\x9b\x85\xb8\xb7\x8a\xa6\xbc\x8a\x7a\x36\xf7\x0a\x90\x70\x1c\x9d\xb4\xd9" - ] - -sha256MACVectors :: [MACVector SHA256] -sha256MACVectors = - [ MACVector B.empty B.empty $ digest "\xb6\x13\x67\x9a\x08\x14\xd9\xec\x77\x2f\x95\xd7\x78\xc3\x5f\xc5\xff\x16\x97\xc4\x93\x71\x56\x53\xc6\xc7\x12\x14\x42\x92\xc5\xad" - , MACVector "key" v1 $ digest "\xf7\xbc\x83\xf4\x30\x53\x84\x24\xb1\x32\x98\xe6\xaa\x6f\xb1\x43\xef\x4d\x59\xa1\x49\x46\x17\x59\x97\x47\x9d\xbc\x2d\x1a\x3c\xd8" - ] - -keccak_key1 = "\x4a\x65\x66\x65" -keccak_data1 = "\x77\x68\x61\x74\x20\x64\x6f\x20\x79\x61\x20\x77\x61\x6e\x74\x20\x66\x6f\x72\x20\x6e\x6f\x74\x68\x69\x6e\x67\x3f" - -keccak_224_MAC_Vectors :: [MACVector Keccak_224] -keccak_224_MAC_Vectors = - [ MACVector keccak_key1 keccak_data1 $ digest "\xe8\x24\xfe\xc9\x6c\x07\x4f\x22\xf9\x92\x35\xbb\x94\x2d\xa1\x98\x26\x64\xab\x69\x2c\xa8\x50\x10\x53\xcb\xd4\x14" - ] - -keccak_256_MAC_Vectors :: [MACVector Keccak_256] -keccak_256_MAC_Vectors = - [ MACVector keccak_key1 keccak_data1 $ digest "\xaa\x9a\xed\x44\x8c\x7a\xbc\x8b\x5e\x32\x6f\xfa\x6a\x01\xcd\xed\xf7\xb4\xb8\x31\x88\x14\x68\xc0\x44\xba\x8d\xd4\x56\x63\x69\xa1" - ] - -keccak_384_MAC_Vectors :: [MACVector Keccak_384] -keccak_384_MAC_Vectors = - [ MACVector keccak_key1 keccak_data1 $ digest "\x5a\xf5\xc9\xa7\x7a\x23\xa6\xa9\x3d\x80\x64\x9e\x56\x2a\xb7\x7f\x4f\x35\x52\xe3\xc5\xca\xff\xd9\x3b\xdf\x8b\x3c\xfc\x69\x20\xe3\x02\x3f\xc2\x67\x75\xd9\xdf\x1f\x3c\x94\x61\x31\x46\xad\x2c\x9d" - ] - -keccak_512_MAC_Vectors :: [MACVector Keccak_512] -keccak_512_MAC_Vectors = - [ MACVector keccak_key1 keccak_data1 $ digest "\xc2\x96\x2e\x5b\xbe\x12\x38\x00\x78\x52\xf7\x9d\x81\x4d\xbb\xec\xd4\x68\x2e\x6f\x09\x7d\x37\xa3\x63\x58\x7c\x03\xbf\xa2\xeb\x08\x59\xd8\xd9\xc7\x01\xe0\x4c\xec\xec\xfd\x3d\xd7\xbf\xd4\x38\xf2\x0b\x8b\x64\x8e\x01\xbf\x8c\x11\xd2\x68\x24\xb9\x6c\xeb\xbd\xcb" - ] - -sha3_key1 = "\x4a\x65\x66\x65" -sha3_data1 = "\x77\x68\x61\x74\x20\x64\x6f\x20\x79\x61\x20\x77\x61\x6e\x74\x20\x66\x6f\x72\x20\x6e\x6f\x74\x68\x69\x6e\x67\x3f" - -sha3_224_MAC_Vectors :: [MACVector SHA3_224] -sha3_224_MAC_Vectors = - [ MACVector sha3_key1 sha3_data1 $ digest "\x7f\xdb\x8d\xd8\x8b\xd2\xf6\x0d\x1b\x79\x86\x34\xad\x38\x68\x11\xc2\xcf\xc8\x5b\xfa\xf5\xd5\x2b\xba\xce\x5e\x66" - ] - -sha3_256_MAC_Vectors :: [MACVector SHA3_256] -sha3_256_MAC_Vectors = - [ MACVector sha3_key1 sha3_data1 $ digest "\xc7\xd4\x07\x2e\x78\x88\x77\xae\x35\x96\xbb\xb0\xda\x73\xb8\x87\xc9\x17\x1f\x93\x09\x5b\x29\x4a\xe8\x57\xfb\xe2\x64\x5e\x1b\xa5" - ] - -sha3_384_MAC_Vectors :: [MACVector SHA3_384] -sha3_384_MAC_Vectors = - [ MACVector sha3_key1 sha3_data1 $ digest "\xf1\x10\x1f\x8c\xbf\x97\x66\xfd\x67\x64\xd2\xed\x61\x90\x3f\x21\xca\x9b\x18\xf5\x7c\xf3\xe1\xa2\x3c\xa1\x35\x08\xa9\x32\x43\xce\x48\xc0\x45\xdc\x00\x7f\x26\xa2\x1b\x3f\x5e\x0e\x9d\xf4\xc2\x0a" - ] - -sha3_512_MAC_Vectors :: [MACVector SHA3_512] -sha3_512_MAC_Vectors = - [ MACVector sha3_key1 sha3_data1 $ digest "\x5a\x4b\xfe\xab\x61\x66\x42\x7c\x7a\x36\x47\xb7\x47\x29\x2b\x83\x84\x53\x7c\xdb\x89\xaf\xb3\xbf\x56\x65\xe4\xc5\xe7\x09\x35\x0b\x28\x7b\xae\xc9\x21\xfd\x7c\xa0\xee\x7a\x0c\x31\xd0\x22\xa9\x5e\x1f\xc9\x2b\xa9\xd7\x7d\xf8\x83\x96\x02\x75\xbe\xb4\xe6\x20\x24" - ] - - -macTests :: [TestTree] -macTests = - [ testGroup "md5" $ concatMap toMACTest $ zip is md5MACVectors - , testGroup "sha1" $ concatMap toMACTest $ zip is sha1MACVectors - , testGroup "sha256" $ concatMap toMACTest $ zip is sha256MACVectors - , testGroup "keccak-224" $ concatMap toMACTest $ zip is keccak_224_MAC_Vectors - , testGroup "keccak-256" $ concatMap toMACTest $ zip is keccak_256_MAC_Vectors - , testGroup "keccak-384" $ concatMap toMACTest $ zip is keccak_384_MAC_Vectors - , testGroup "keccak-512" $ concatMap toMACTest $ zip is keccak_512_MAC_Vectors - , testGroup "sha3-224" $ concatMap toMACTest $ zip is sha3_224_MAC_Vectors - , testGroup "sha3-256" $ concatMap toMACTest $ zip is sha3_256_MAC_Vectors - , testGroup "sha3-384" $ concatMap toMACTest $ zip is sha3_384_MAC_Vectors - , testGroup "sha3-512" $ concatMap toMACTest $ zip is sha3_512_MAC_Vectors - ] - where toMACTest (i, macVector) = - [ testCase (show i) (macResult macVector @=? HMAC.hmac (macKey macVector) (macSecret macVector)) - , testCase ("incr-" ++ show i) (macResult macVector @=? - HMAC.finalize (HMAC.update (HMAC.initialize (macKey macVector)) (macSecret macVector))) - ] - is :: [Int] - is = [1..] - -data MacIncremental a = MacIncremental ByteString ByteString (HMAC.HMAC a) - deriving (Show,Eq) - -instance HashAlgorithm a => Arbitrary (MacIncremental a) where - arbitrary = do - key <- arbitraryBSof 1 89 - msg <- arbitraryBSof 1 99 - return $ MacIncremental key msg (HMAC.hmac key msg) - -data MacIncrementalList a = MacIncrementalList ByteString [ByteString] (HMAC.HMAC a) - deriving (Show,Eq) - -instance HashAlgorithm a => Arbitrary (MacIncrementalList a) where - arbitrary = do - key <- arbitraryBSof 1 89 - msgs <- choose (1,20) >>= \n -> replicateM n (arbitraryBSof 1 99) - return $ MacIncrementalList key msgs (HMAC.hmac key (B.concat msgs)) - -macIncrementalTests :: [TestTree] -macIncrementalTests = - [ testIncrProperties MD5 - , testIncrProperties SHA1 - , testIncrProperties SHA256 - , testIncrProperties SHA3_224 - , testIncrProperties SHA3_256 - , testIncrProperties SHA3_384 - , testIncrProperties SHA3_512 - ] - where - --testIncrProperties :: HashAlgorithm a => a -> [Property] - testIncrProperties a = testGroup (show a) - [ testProperty "list-one" (prop_inc0 a) - , testProperty "list-multi" (prop_inc1 a) - ] - - prop_inc0 :: HashAlgorithm a => a -> MacIncremental a -> Bool - prop_inc0 _ (MacIncremental secret msg result) = - result `assertEq` HMAC.finalize (HMAC.update (HMAC.initialize secret) msg) - - prop_inc1 :: HashAlgorithm a => a -> MacIncrementalList a -> Bool - prop_inc1 _ (MacIncrementalList secret msgs result) = - result `assertEq` HMAC.finalize (foldl' HMAC.update (HMAC.initialize secret) msgs) - -tests = testGroup "HMAC" - [ testGroup "KATs" macTests - , testGroup "properties" macIncrementalTests - ] diff --git a/tests/KAT_KMAC.hs b/tests/KAT_KMAC.hs deleted file mode 100644 --- a/tests/KAT_KMAC.hs +++ /dev/null @@ -1,129 +0,0 @@ -{-# LANGUAGE DataKinds #-} -{-# LANGUAGE FlexibleContexts #-} -{-# LANGUAGE FlexibleInstances #-} -{-# LANGUAGE OverloadedStrings #-} -{-# LANGUAGE RecordWildCards #-} -module KAT_KMAC (tests) where - -import Crypto.Hash (SHAKE128(..), SHAKE256(..), - HashAlgorithm, digestFromByteString) -import qualified Crypto.MAC.KMAC as KMAC - -import qualified Data.ByteString as B - -import Imports - -data MACVector hash = MACVector - { macString :: ByteString - , macKey :: ByteString - , macSecret :: ByteString - , macResult :: KMAC.KMAC hash - } - -instance Show (KMAC.KMAC a) where - show (KMAC.KMAC d) = show d - -digest :: HashAlgorithm hash => ByteString -> KMAC.KMAC hash -digest = maybe (error "cannot get digest") KMAC.KMAC . digestFromByteString - -vectors128 :: [MACVector (SHAKE128 256)] -vectors128 = - [ MACVector - { macString = "" - , macKey = B.pack [ 0x40 .. 0x5f ] - , macSecret = B.pack [ 0x00 .. 0x03 ] - , macResult = digest "\xe5\x78\x0b\x0d\x3e\xa6\xf7\xd3\xa4\x29\xc5\x70\x6a\xa4\x3a\x00\xfa\xdb\xd7\xd4\x96\x28\x83\x9e\x31\x87\x24\x3f\x45\x6e\xe1\x4e" - } - , MACVector - { macString = "My Tagged Application" - , macKey = B.pack [ 0x40 .. 0x5f ] - , macSecret = B.pack [ 0x00 .. 0x03 ] - , macResult = digest "\x3b\x1f\xba\x96\x3c\xd8\xb0\xb5\x9e\x8c\x1a\x6d\x71\x88\x8b\x71\x43\x65\x1a\xf8\xba\x0a\x70\x70\xc0\x97\x9e\x28\x11\x32\x4a\xa5" - } - , MACVector - { macString = "My Tagged Application" - , macKey = B.pack [ 0x40 .. 0x5f ] - , macSecret = B.pack [ 0x00 .. 0xc7 ] - , macResult = digest "\x1f\x5b\x4e\x6c\xca\x02\x20\x9e\x0d\xcb\x5c\xa6\x35\xb8\x9a\x15\xe2\x71\xec\xc7\x60\x07\x1d\xfd\x80\x5f\xaa\x38\xf9\x72\x92\x30" - } - ] - -vectors256 :: [MACVector (SHAKE256 512)] -vectors256 = - [ MACVector - { macString = "My Tagged Application" - , macKey = B.pack [ 0x40 .. 0x5f ] - , macSecret = B.pack [ 0x00 .. 0x03 ] - , macResult = digest "\x20\xc5\x70\xc3\x13\x46\xf7\x03\xc9\xac\x36\xc6\x1c\x03\xcb\x64\xc3\x97\x0d\x0c\xfc\x78\x7e\x9b\x79\x59\x9d\x27\x3a\x68\xd2\xf7\xf6\x9d\x4c\xc3\xde\x9d\x10\x4a\x35\x16\x89\xf2\x7c\xf6\xf5\x95\x1f\x01\x03\xf3\x3f\x4f\x24\x87\x10\x24\xd9\xc2\x77\x73\xa8\xdd" - } - , MACVector - { macString = "" - , macKey = B.pack [ 0x40 .. 0x5f ] - , macSecret = B.pack [ 0x00 .. 0xc7 ] - , macResult = digest "\x75\x35\x8c\xf3\x9e\x41\x49\x4e\x94\x97\x07\x92\x7c\xee\x0a\xf2\x0a\x3f\xf5\x53\x90\x4c\x86\xb0\x8f\x21\xcc\x41\x4b\xcf\xd6\x91\x58\x9d\x27\xcf\x5e\x15\x36\x9c\xbb\xff\x8b\x9a\x4c\x2e\xb1\x78\x00\x85\x5d\x02\x35\xff\x63\x5d\xa8\x25\x33\xec\x6b\x75\x9b\x69" - } - , MACVector - { macString = "My Tagged Application" - , macKey = B.pack [ 0x40 .. 0x5f ] - , macSecret = B.pack [ 0x00 .. 0xc7 ] - , macResult = digest "\xb5\x86\x18\xf7\x1f\x92\xe1\xd5\x6c\x1b\x8c\x55\xdd\xd7\xcd\x18\x8b\x97\xb4\xca\x4d\x99\x83\x1e\xb2\x69\x9a\x83\x7d\xa2\xe4\xd9\x70\xfb\xac\xfd\xe5\x00\x33\xae\xa5\x85\xf1\xa2\x70\x85\x10\xc3\x2d\x07\x88\x08\x01\xbd\x18\x28\x98\xfe\x47\x68\x76\xfc\x89\x65" - } - ] - -macTests :: [TestTree] -macTests = - [ testGroup "SHAKE128" (concatMap toMACTest $ zip is vectors128) - , testGroup "SHAKE256" (concatMap toMACTest $ zip is vectors256) - ] - where toMACTest (i, MACVector{..}) = - [ testCase (show i) (macResult @=? KMAC.kmac macString macKey macSecret) - , testCase ("incr-" ++ show i) (macResult @=? - KMAC.finalize (KMAC.update (KMAC.initialize macString macKey) macSecret)) - ] - is :: [Int] - is = [1..] - -data MacIncremental a = MacIncremental ByteString ByteString ByteString (KMAC.KMAC a) - deriving (Show,Eq) - -instance KMAC.HashSHAKE a => Arbitrary (MacIncremental a) where - arbitrary = do - str <- arbitraryBSof 0 49 - key <- arbitraryBSof 1 89 - msg <- arbitraryBSof 1 99 - return $ MacIncremental str key msg (KMAC.kmac str key msg) - -data MacIncrementalList a = MacIncrementalList ByteString ByteString [ByteString] (KMAC.KMAC a) - deriving (Show,Eq) - -instance KMAC.HashSHAKE a => Arbitrary (MacIncrementalList a) where - arbitrary = do - str <- arbitraryBSof 0 49 - key <- arbitraryBSof 1 89 - msgs <- choose (1,20) >>= \n -> replicateM n (arbitraryBSof 1 99) - return $ MacIncrementalList str key msgs (KMAC.kmac str key (B.concat msgs)) - -macIncrementalTests :: [TestTree] -macIncrementalTests = - [ testIncrProperties "SHAKE128_256" (SHAKE128 :: SHAKE128 256) - , testIncrProperties "SHAKE256_512" (SHAKE256 :: SHAKE256 512) - ] - where - testIncrProperties :: KMAC.HashSHAKE a => TestName -> a -> TestTree - testIncrProperties name a = testGroup name - [ testProperty "list-one" (prop_inc0 a) - , testProperty "list-multi" (prop_inc1 a) - ] - - prop_inc0 :: KMAC.HashSHAKE a => a -> MacIncremental a -> Bool - prop_inc0 _ (MacIncremental str secret msg result) = - result `assertEq` KMAC.finalize (KMAC.update (KMAC.initialize str secret) msg) - - prop_inc1 :: KMAC.HashSHAKE a => a -> MacIncrementalList a -> Bool - prop_inc1 _ (MacIncrementalList str secret msgs result) = - result `assertEq` KMAC.finalize (foldl' KMAC.update (KMAC.initialize str secret) msgs) - -tests = testGroup "KMAC" - [ testGroup "KATs" macTests - , testGroup "properties" macIncrementalTests - ] diff --git a/tests/KAT_MiyaguchiPreneel.hs b/tests/KAT_MiyaguchiPreneel.hs deleted file mode 100644 --- a/tests/KAT_MiyaguchiPreneel.hs +++ /dev/null @@ -1,49 +0,0 @@ - -module KAT_MiyaguchiPreneel (tests) where - -import Crypto.Cipher.AES (AES128) -import Crypto.ConstructHash.MiyaguchiPreneel as MiyaguchiPreneel - -import Imports - -import qualified Data.ByteString.Char8 as B8 -import qualified Data.ByteArray as B -import Data.ByteArray.Encoding (Base (Base16), convertFromBase) - - -runMP128 :: ByteString -> ByteString -runMP128 s = B.convert (MiyaguchiPreneel.compute s :: MiyaguchiPreneel AES128) - -hxs :: String -> ByteString -hxs = either (error . ("hxs:" ++)) id . convertFromBase Base16 - . B8.pack . filter (/= ' ') - -gAES128 :: TestTree -gAES128 = - igroup "aes128" - [ runMP128 B8.empty - @?= hxs "66e94bd4 ef8a2c3b 884cfa59 ca342b2e" - , runMP128 (hxs "01000000 00000000 00000000 00000000") - @?= hxs "46711816 e91d6ff0 59bbbf2b f58e0fd3" - , runMP128 (hxs "00000000 00000000 00000000 00000001") - @?= hxs "58e2fcce fa7e3061 367f1d57 a4e7455b" - , runMP128 (hxs $ - "00000000 00000000 00000000 00000000" ++ - "01") - @?= hxs "a5ff35ae 097adf5d 646abf5e bf4c16f4" - ] - -igroup :: TestName -> [Assertion] -> TestTree -igroup nm = testGroup nm . zipWith (flip ($)) [1..] . map icase - where - icase c i = testCase (show (i :: Int)) c - -vectors :: TestTree -vectors = - testGroup "KATs" - [ gAES128 ] - -tests :: TestTree -tests = - testGroup "MiyaguchiPreneel" - [ vectors ] diff --git a/tests/KAT_OTP.hs b/tests/KAT_OTP.hs deleted file mode 100644 --- a/tests/KAT_OTP.hs +++ /dev/null @@ -1,101 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} - - -module KAT_OTP - ( tests - ) -where - -import Crypto.Hash.Algorithms (SHA1(..), SHA256(..), SHA512(..)) -import Crypto.OTP -import Imports - --- | Test values from Appendix D of http://tools.ietf.org/html/rfc4226 -hotpExpected :: [(Word64, Word32)] -hotpExpected = - [ (0, 755224) - , (1, 287082) - , (3, 969429) - , (4, 338314) - , (5, 254676) - , (6, 287922) - , (7, 162583) - , (8, 399871) - , (9, 520489) - ] - --- | Test data from Appendix B of http://tools.ietf.org/html/rfc6238 --- Note that the shared keys for the non SHA-1 values are actually --- different (see the errata, or the Java example code). -totpSHA1Expected :: [(Word64, Word32)] -totpSHA1Expected = - [ (59 , 94287082) - , (1111111109, 07081804) - , (1111111111, 14050471) - , (1234567890, 89005924) - , (2000000000, 69279037) - , (20000000000, 65353130) - ] - -totpSHA256Expected :: [(Word64, Word32)] -totpSHA256Expected = - [ (59 , 46119246) - , (1111111109, 68084774) - , (1111111111, 67062674) - , (1234567890, 91819424) - , (2000000000, 90698825) - , (20000000000, 77737706) - ] - -totpSHA512Expected :: [(Word64, Word32)] -totpSHA512Expected = - [ (59 , 90693936) - , (1111111109, 25091201) - , (1111111111, 99943326) - , (1234567890, 93441116) - , (2000000000, 38618901) - , (20000000000, 47863826) - ] - -otpKey = "12345678901234567890" :: ByteString -totpSHA256Key = "12345678901234567890123456789012" :: ByteString -totpSHA512Key = "1234567890123456789012345678901234567890123456789012345678901234" :: ByteString - -makeKATs otp expected = concatMap (makeTest otp) (zip3 is counts otps) - where - is :: [Int] - is = [1..] - - counts = map fst expected - otps = map snd expected - -makeTest otp (i, count, password) = - [ testCase (show i) (assertEqual "" password (otp count)) - ] - -Right totpSHA1Params = mkTOTPParams SHA1 0 30 OTP8 TwoSteps -Right totpSHA256Params = mkTOTPParams SHA256 0 30 OTP8 TwoSteps -Right totpSHA512Params = mkTOTPParams SHA512 0 30 OTP8 TwoSteps - --- resynching with the expected value should just return the current counter + 1 -prop_resyncExpected ctr window = resynchronize SHA1 OTP6 window key ctr (otp, []) == Just (ctr + 1) - where - key = "1234" :: ByteString - otp = hotp SHA1 OTP6 key ctr - - -tests = testGroup "OTP" - [ testGroup "HOTP" - [ testGroup "KATs" (makeKATs (hotp SHA1 OTP6 otpKey) hotpExpected) - , testGroup "properties" - [ testProperty "resync-expected" prop_resyncExpected - ] - ] - , testGroup "TOTP" - [ testGroup "KATs" - [ testGroup "SHA1" (makeKATs (totp totpSHA1Params otpKey) totpSHA1Expected) - , testGroup "SHA256" (makeKATs (totp totpSHA256Params totpSHA256Key) totpSHA256Expected) - , testGroup "SHA512" (makeKATs (totp totpSHA512Params totpSHA512Key) totpSHA512Expected) - ] - ] - ] diff --git a/tests/KAT_PBKDF2.hs b/tests/KAT_PBKDF2.hs deleted file mode 100644 --- a/tests/KAT_PBKDF2.hs +++ /dev/null @@ -1,89 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} - --- from -module KAT_PBKDF2 (tests) where - -import Crypto.Hash (SHA1(..), SHA256(..), SHA512(..)) -import qualified Crypto.KDF.PBKDF2 as PBKDF2 - -import Data.ByteString (ByteString) -import Data.ByteString.Char8 () - -import Test.Tasty -import Test.Tasty.HUnit - -type VectParams = (ByteString, ByteString, Int, Int) - -vectors_hmac_sha1 :: [ (VectParams, ByteString) ] -vectors_hmac_sha1 = - [ - ( ("password","salt",2,20) - , "\xea\x6c\x01\x4d\xc7\x2d\x6f\x8c\xcd\x1e\xd9\x2a\xce\x1d\x41\xf0\xd8\xde\x89\x57" - ) - , ( ("password","salt",4096,20) - , "\x4b\x00\x79\x01\xb7\x65\x48\x9a\xbe\xad\x49\xd9\x26\xf7\x21\xd0\x65\xa4\x29\xc1" - ) - - , ( ("passwordPASSWORDpassword", "saltSALTsaltSALTsaltSALTsaltSALTsalt", 4096, 25) - , "\x3d\x2e\xec\x4f\xe4\x1c\x84\x9b\x80\xc8\xd8\x36\x62\xc0\xe4\x4a\x8b\x29\x1a\x96\x4c\xf2\xf0\x70\x38" - ) - , ( ("pass\0word", "sa\0lt", 4096, 16) - , "\x56\xfa\x6a\xa7\x55\x48\x09\x9d\xcc\x37\xd7\xf0\x34\x25\xe0\xc3" - ) - ] - -vectors_hmac_sha256 :: [ (VectParams, ByteString) ] -vectors_hmac_sha256 = - [ ( ("password", "salt", 2, 32) - , "\xae\x4d\x0c\x95\xaf\x6b\x46\xd3\x2d\x0a\xdf\xf9\x28\xf0\x6d\xd0\x2a\x30\x3f\x8e\xf3\xc2\x51\xdf\xd6\xe2\xd8\x5a\x95\x47\x4c\x43" - ) - , ( ("passwordPASSWORDpassword", "saltSALTsaltSALTsaltSALTsaltSALTsalt", 4096, 40) - , "\x34\x8c\x89\xdb\xcb\xd3\x2b\x2f\x32\xd8\x14\xb8\x11\x6e\x84\xcf\x2b\x17\x34\x7e\xbc\x18\x00\x18\x1c\x4e\x2a\x1f\xb8\xdd\x53\xe1\xc6\x35\x51\x8c\x7d\xac\x47\xe9" - ) - ] - -vectors_hmac_sha512 :: [ (VectParams, ByteString) ] -vectors_hmac_sha512 = - [ ( ("password", "salt", 1, 32) - , "\x86\x7f\x70\xcf\x1a\xde\x02\xcf\xf3\x75\x25\x99\xa3\xa5\x3d\xc4\xaf\x34\xc7\xa6\x69\x81\x5a\xe5\xd5\x13\x55\x4e\x1c\x8c\xf2\x52" - ) - , ( ("password", "salt", 2, 32) - , "\xe1\xd9\xc1\x6a\xa6\x81\x70\x8a\x45\xf5\xc7\xc4\xe2\x15\xce\xb6\x6e\x01\x1a\x2e\x9f\x00\x40\x71\x3f\x18\xae\xfd\xb8\x66\xd5\x3c" - ) - , ( ("password", "salt", 4096, 32) - , "\xd1\x97\xb1\xb3\x3d\xb0\x14\x3e\x01\x8b\x12\xf3\xd1\xd1\x47\x9e\x6c\xde\xbd\xcc\x97\xc5\xc0\xf8\x7f\x69\x02\xe0\x72\xf4\x57\xb5" - ) - , ( ("passwordPASSWORDpassword", "saltSALTsaltSALTsaltSALTsaltSALTsalt", 1, 72) - , "n\x23\xf2\x76\x38\x08\x4b\x0f\x7e\xa1\x73\x4e\x0d\x98\x41\xf5\x5d\xd2\x9e\xa6\x0a\x83\x44\x66\xf3\x39\x6b\xac\x80\x1f\xac\x1e\xeb\x63\x80\x2f\x03\xa0\xb4\xac\xd7\x60\x3e\x36\x99\xc8\xb7\x44\x37\xbe\x83\xff\x01\xad\x7f\x55\xda\xc1\xef\x60\xf4\xd5\x64\x80\xc3\x5e\xe6\x8f\xd5\x2c\x69\x36" - ) - ] - - -tests = testGroup "PBKDF2" - [ testGroup "KATs-HMAC-SHA1" (katTests (PBKDF2.prfHMAC SHA1) vectors_hmac_sha1) - , testGroup "KATs-HMAC-SHA1 (fast)" (katTestFastPBKDF2_SHA1 vectors_hmac_sha1) - , testGroup "KATs-HMAC-SHA256" (katTests (PBKDF2.prfHMAC SHA256) vectors_hmac_sha256) - , testGroup "KATs-HMAC-SHA256 (fast)" (katTestFastPBKDF2_SHA256 vectors_hmac_sha256) - , testGroup "KATs-HMAC-SHA512" (katTests (PBKDF2.prfHMAC SHA512) vectors_hmac_sha512) - , testGroup "KATs-HMAC-SHA512 (fast)" (katTestFastPBKDF2_SHA512 vectors_hmac_sha512) - ] - where katTests prf = zipWith (toKatTest prf) is - - toKatTest prf i ((pass, salt, iter, dkLen), output) = - testCase (show i) (output @=? PBKDF2.generate prf (PBKDF2.Parameters iter dkLen) pass salt) - - katTestFastPBKDF2_SHA1 = zipWith toKatTestFastPBKDF2_SHA1 is - toKatTestFastPBKDF2_SHA1 i ((pass, salt, iter, dkLen), output) = - testCase (show i) (output @=? PBKDF2.fastPBKDF2_SHA1 (PBKDF2.Parameters iter dkLen) pass salt) - - katTestFastPBKDF2_SHA256 = zipWith toKatTestFastPBKDF2_SHA256 is - toKatTestFastPBKDF2_SHA256 i ((pass, salt, iter, dkLen), output) = - testCase (show i) (output @=? PBKDF2.fastPBKDF2_SHA256 (PBKDF2.Parameters iter dkLen) pass salt) - - katTestFastPBKDF2_SHA512 = zipWith toKatTestFastPBKDF2_SHA512 is - toKatTestFastPBKDF2_SHA512 i ((pass, salt, iter, dkLen), output) = - testCase (show i) (output @=? PBKDF2.fastPBKDF2_SHA512 (PBKDF2.Parameters iter dkLen) pass salt) - - - is :: [Int] - is = [1..] diff --git a/tests/KAT_PubKey.hs b/tests/KAT_PubKey.hs deleted file mode 100644 --- a/tests/KAT_PubKey.hs +++ /dev/null @@ -1,50 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_PubKey (tests) where - -import Test.Tasty -import Test.Tasty.HUnit - -import Data.ByteString (ByteString) -import qualified Data.ByteString as B -import Data.ByteString.Char8 () - -import Crypto.PubKey.MaskGenFunction -import Crypto.Hash - -import KAT_PubKey.OAEP -import KAT_PubKey.PSS -import KAT_PubKey.DSA -import KAT_PubKey.ECC -import KAT_PubKey.ECDSA -import KAT_PubKey.RSA -import KAT_PubKey.Rabin -import Utils -import qualified KAT_PubKey.P256 as P256 - -data VectorMgf = VectorMgf { seed :: ByteString - , dbMask :: ByteString - } - -doMGFTest i vmgf = testCase (show i) (dbMask vmgf @=? actual) - where actual = mgf1 SHA1 (seed vmgf) (B.length $ dbMask vmgf) - -vectorsMGF = - [ VectorMgf - { seed = "\xdf\x1a\x89\x6f\x9d\x8b\xc8\x16\xd9\x7c\xd7\xa2\xc4\x3b\xad\x54\x6f\xbe\x8c\xfe" - , dbMask = "\x66\xe4\x67\x2e\x83\x6a\xd1\x21\xba\x24\x4b\xed\x65\x76\xb8\x67\xd9\xa4\x47\xc2\x8a\x6e\x66\xa5\xb8\x7d\xee\x7f\xbc\x7e\x65\xaf\x50\x57\xf8\x6f\xae\x89\x84\xd9\xba\x7f\x96\x9a\xd6\xfe\x02\xa4\xd7\x5f\x74\x45\xfe\xfd\xd8\x5b\x6d\x3a\x47\x7c\x28\xd2\x4b\xa1\xe3\x75\x6f\x79\x2d\xd1\xdc\xe8\xca\x94\x44\x0e\xcb\x52\x79\xec\xd3\x18\x3a\x31\x1f\xc8\x97\x39\xa9\x66\x43\x13\x6e\x8b\x0f\x46\x5e\x87\xa4\x53\x5c\xd4\xc5\x9b\x10\x02\x8d" - } - ] - -tests = testGroup "PubKey" - [ testGroup "MGF1" $ zipWith doMGFTest [katZero..] vectorsMGF - , rsaTests - , pssTests - , oaepTests - , dsaTests - , eccTests - , ecdsaTests - , P256.tests - , rabinTests - ] - ---newKats = [ eccKatTests ] diff --git a/tests/KAT_PubKey/DSA.hs b/tests/KAT_PubKey/DSA.hs deleted file mode 100644 --- a/tests/KAT_PubKey/DSA.hs +++ /dev/null @@ -1,362 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_PubKey.DSA (dsaTests) where - -import qualified Crypto.PubKey.DSA as DSA -import Crypto.Hash - -import Imports - -data VectorDSA = VectorDSA - { pgq :: DSA.Params - , msg :: ByteString - , x :: Integer - , y :: Integer - , k :: Integer - , r :: Integer - , s :: Integer - } - -vectorsSHA1 = - [ VectorDSA - { msg = "\x3b\x46\x73\x6d\x55\x9b\xd4\xe0\xc2\xc1\xb2\x55\x3a\x33\xad\x3c\x6c\xf2\x3c\xac\x99\x8d\x3d\x0c\x0e\x8f\xa4\xb1\x9b\xca\x06\xf2\xf3\x86\xdb\x2d\xcf\xf9\xdc\xa4\xf4\x0a\xd8\xf5\x61\xff\xc3\x08\xb4\x6c\x5f\x31\xa7\x73\x5b\x5f\xa7\xe0\xf9\xe6\xcb\x51\x2e\x63\xd7\xee\xa0\x55\x38\xd6\x6a\x75\xcd\x0d\x42\x34\xb5\xcc\xf6\xc1\x71\x5c\xca\xaf\x9c\xdc\x0a\x22\x28\x13\x5f\x71\x6e\xe9\xbd\xee\x7f\xc1\x3e\xc2\x7a\x03\xa6\xd1\x1c\x5c\x5b\x36\x85\xf5\x19\x00\xb1\x33\x71\x53\xbc\x6c\x4e\x8f\x52\x92\x0c\x33\xfa\x37\xf4\xe7" - , x = 0xc53eae6d45323164c7d07af5715703744a63fc3a - , y = 0x313fd9ebca91574e1c2eebe1517c57e0c21b0209872140c5328761bbb2450b33f1b18b409ce9ab7c4cd8fda3391e8e34868357c199e16a6b2eba06d6749def791d79e95d3a4d09b24c392ad89dbf100995ae19c01062056bb14bce005e8731efde175f95b975089bdcdaea562b32786d96f5a31aedf75364008ad4fffebb970b - , k = 0x98cbcc4969d845e2461b5f66383dd503712bbcfa - , r = 0x50ed0e810e3f1c7cb6ac62332058448bd8b284c0 - , s = 0xc6aded17216b46b7e4b6f2a97c1ad7cc3da83fde - , pgq = dsaParams - } - , VectorDSA - { msg = "\xd2\xbc\xb5\x3b\x04\x4b\x3e\x2e\x4b\x61\xba\x2f\x91\xc0\x99\x5f\xb8\x3a\x6a\x97\x52\x5e\x66\x44\x1a\x3b\x48\x9d\x95\x94\x23\x8b\xc7\x40\xbd\xee\xa0\xf7\x18\xa7\x69\xc9\x77\xe2\xde\x00\x38\x77\xb5\xd7\xdc\x25\xb1\x82\xae\x53\x3d\xb3\x3e\x78\xf2\xc3\xff\x06\x45\xf2\x13\x7a\xbc\x13\x7d\x4e\x7d\x93\xcc\xf2\x4f\x60\xb1\x8a\x82\x0b\xc0\x7c\x7b\x4b\x5f\xe0\x8b\x4f\x9e\x7d\x21\xb2\x56\xc1\x8f\x3b\x9d\x49\xac\xc4\xf9\x3e\x2c\xe6\xf3\x75\x4c\x78\x07\x75\x7d\x2e\x11\x76\x04\x26\x12\xcb\x32\xfc\x3f\x4f\x70\x70\x0e\x25" - , x = 0xe65131d73470f6ad2e5878bdc9bef536faf78831 - , y = 0x29bdd759aaa62d4bf16b4861c81cf42eac2e1637b9ecba512bdbc13ac12a80ae8de2526b899ae5e4a231aef884197c944c732693a634d7659abc6975a773f8d3cd5a361fe2492386a3c09aaef12e4a7e73ad7dfc3637f7b093f2c40d6223a195c136adf2ea3fbf8704a675aa7817aa7ec7f9adfb2854d4e05c3ce7f76560313b - , k = 0x87256a64e98cf5be1034ecfa766f9d25d1ac7ceb - , r = 0xa26c00b5750a2d27fe7435b93476b35438b4d8ab - , s = 0x61c9bfcb2938755afa7dad1d1e07c6288617bf70 - , pgq = dsaParams - } - , VectorDSA - { msg = "\xd5\x43\x1e\x6b\x16\xfd\xae\x31\x48\x17\x42\xbd\x39\x47\x58\xbe\xb8\xe2\x4f\x31\x94\x7e\x19\xb7\xea\x7b\x45\x85\x21\x88\x22\x70\xc1\xf4\x31\x92\xaa\x05\x0f\x44\x85\x14\x5a\xf8\xf3\xf9\xc5\x14\x2d\x68\xb8\x50\x18\xd2\xec\x9c\xb7\xa3\x7b\xa1\x2e\xd2\x3e\x73\xb9\x5f\xd6\x80\xfb\xa3\xc6\x12\x65\xe9\xf5\xa0\xa0\x27\xd7\x0f\xad\x0c\x8a\xa0\x8a\x3c\xbf\xbe\x99\x01\x8d\x00\x45\x38\x61\x73\xe5\xfa\xe2\x25\xfa\xeb\xe0\xce\xf5\xdd\x45\x91\x0f\x40\x0a\x86\xc2\xbe\x4e\x15\x25\x2a\x16\xde\x41\x20\xa2\x67\xbe\x2b\x59\x4d" - , x = 0x20bcabc6d9347a6e79b8e498c60c44a19c73258c - , y = 0x23b4f404aa3c575e550bb320fdb1a085cd396a10e5ebc6771da62f037cab19eacd67d8222b6344038c4f7af45f5e62b55480cbe2111154ca9697ca76d87b56944138084e74c6f90a05cf43660dff8b8b3fabfcab3f0e4416775fdf40055864be102b4587392e77752ed2aeb182ee4f70be4a291dbe77b84a44ee34007957b1e0 - , k = 0x7d9bcfc9225432de9860f605a38d389e291ca750 - , r = 0x3f0a4ad32f0816821b8affb518e9b599f35d57c2 - , s = 0xea06638f2b2fc9d1dfe99c2a492806b497e2b0ea - , pgq = dsaParams - } - , VectorDSA - { msg = "\x85\x66\x2b\x69\x75\x50\xe4\x91\x5c\x29\xe3\x38\xb6\x24\xb9\x12\x84\x5d\x6d\x1a\x92\x0d\x9e\x4c\x16\x04\xdd\x47\xd6\x92\xbc\x7c\x0f\xfb\x95\xae\x61\x4e\x85\x2b\xeb\xaf\x15\x73\x75\x8a\xd0\x1c\x71\x3c\xac\x0b\x47\x6e\x2f\x12\x17\x45\xa3\xcf\xee\xff\xb2\x44\x1f\xf6\xab\xfb\x9b\xbe\xb9\x8a\xa6\x34\xca\x6f\xf5\x41\x94\x7d\xcc\x99\x27\x65\x9d\x44\xf9\x5c\x5f\xf9\x17\x0f\xdc\x3c\x86\x47\x3c\xb6\x01\xba\x31\xb4\x87\xfe\x59\x36\xba\xc5\xd9\xc6\x32\xcb\xcc\x3d\xb0\x62\x46\xba\x01\xc5\x5a\x03\x8d\x79\x7f\xe3\xf6\xc3" - , x = 0x52d1fbe687aa0702a51a5bf9566bd51bd569424c - , y = 0x6bc36cb3fa61cecc157be08639a7ca9e3de073b8a0ff23574ce5ab0a867dfd60669a56e60d1c989b3af8c8a43f5695d503e3098963990e12b63566784171058eace85c728cd4c08224c7a6efea75dca20df461013c75f40acbc23799ebee7f3361336dadc4a56f305708667bfe602b8ea75a491a5cf0c06ebd6fdc7161e10497 - , k = 0x960c211891c090d05454646ebac1bfe1f381e82b - , r = 0x3bc29dee96957050ba438d1b3e17b02c1725d229 - , s = 0x0af879cf846c434e08fb6c63782f4d03e0d88865 - , pgq = dsaParams - } - , VectorDSA - { msg = "\x87\xb6\xe7\x5b\x9f\x8e\x99\xc4\xdd\x62\xad\xb6\x93\xdd\x58\x90\xed\xff\x1b\xd0\x02\x8f\x4e\xf8\x49\xdf\x0f\x1d\x2c\xe6\xb1\x81\xfc\x3a\x55\xae\xa6\xd0\xa1\xf0\xae\xca\xb8\xed\x9e\x24\x8a\x00\xe9\x6b\xe7\x94\xa7\xcf\xba\x12\x46\xef\xb7\x10\xef\x4b\x37\x47\x1c\xef\x0a\x1b\xcf\x55\xce\xbc\x8d\x5a\xd0\x71\x61\x2b\xd2\x37\xef\xed\xd5\x10\x23\x62\xdb\x07\xa1\xe2\xc7\xa6\xf1\x5e\x09\xfe\x64\xba\x42\xb6\x0a\x26\x28\xd8\x69\xae\x05\xef\x61\x1f\xe3\x8d\x9c\xe1\x5e\xee\xc9\xbb\x3d\xec\xc8\xdc\x17\x80\x9f\x3b\x6e\x95" - , x = 0xc86a54ec5c4ec63d7332cf43ddb082a34ed6d5f5 - , y = 0x014ac746d3605efcb8a2c7dae1f54682a262e27662b252c09478ce87d0aaa522d7c200043406016c0c42896d21750b15dbd57f9707ec37dcea5651781b67ad8d01f5099fe7584b353b641bb159cc717d8ceb18b66705e656f336f1214b34f0357e577ab83641969e311bf40bdcb3ffd5e0bb59419f229508d2f432cc2859ff75 - , k = 0x6c445cee68042553fbe63be61be4ddb99d8134af - , r = 0x637e07a5770f3dc65e4506c68c770e5ef6b8ced3 - , s = 0x7dfc6f83e24f09745e01d3f7ae0ed1474e811d47 - , pgq = dsaParams - } - , VectorDSA - { msg = "\x22\x59\xee\xad\x2d\x6b\xbc\x76\xd4\x92\x13\xea\x0d\xc8\xb7\x35\x0a\x97\x69\x9f\x22\x34\x10\x44\xc3\x94\x07\x82\x36\x4a\xc9\xea\x68\x31\x79\xa4\x38\xa5\xea\x45\x99\x8d\xf9\x7c\x29\x72\xda\xe0\x38\x51\xf5\xbe\x23\xfa\x9f\x04\x18\x2e\x79\xdd\xb2\xb5\x6d\xc8\x65\x23\x93\xec\xb2\x7f\x3f\x3b\x7c\x8a\x8d\x76\x1a\x86\xb3\xb8\xf4\xd4\x1a\x07\xb4\xbe\x7d\x02\xfd\xde\xfc\x42\xb9\x28\x12\x4a\x5a\x45\xb9\xf4\x60\x90\x42\x20\x9b\x3a\x7f\x58\x5b\xd5\x14\xcc\x39\xc0\x0e\xff\xcc\x42\xc7\xfe\x70\xfa\x83\xed\xf8\xa3\x2b\xf4" - , x = 0xaee6f213b9903c8069387e64729a08999e5baf65 - , y = 0x0fe74045d7b0d472411202831d4932396f242a9765e92be387fd81bbe38d845054528b348c03984179b8e505674cb79d88cc0d8d3e8d7392f9aa773b29c29e54a9e326406075d755c291fcedbcc577934c824af988250f64ed5685fce726cff65e92d708ae11cbfaa958ab8d8b15340a29a137b5b4357f7ed1c7a5190cbf98a4 - , k = 0xe1704bae025942e2e63c6d76bab88da79640073a - , r = 0x83366ba3fed93dfb38d541203ecbf81c363998e2 - , s = 0x1fe299c36a1332f23bf2e10a6c6a4e0d3cdd2bf4 - , pgq = dsaParams - } - , VectorDSA - { msg = "\x21\x9e\x8d\xf5\xbf\x88\x15\x90\x43\x0e\xce\x60\x82\x50\xf7\x67\x0d\xc5\x65\x37\x24\x93\x02\x42\x9e\x28\xec\xfe\xb9\xce\xaa\xa5\x49\x10\xa6\x94\x90\xf7\x65\xf3\xdf\x82\xe8\xb0\x1c\xd7\xd7\x6e\x56\x1d\x0f\x6c\xe2\x26\xef\x3c\xf7\x52\xca\xda\x6f\xeb\xdc\x5b\xf0\x0d\x67\x94\x7f\x92\xd4\x20\x51\x6b\x9e\x37\xc9\x6c\x8f\x1f\x2d\xa0\xb0\x75\x09\x7c\x3b\xda\x75\x8a\x8d\x91\xbd\x2e\xbe\x9c\x75\xcf\x14\x7f\x25\x4c\x25\x69\x63\xb3\x3b\x67\xd0\x2b\x6a\xa0\x9e\x7d\x74\x65\xd0\x38\xe5\x01\x95\xec\xe4\x18\x9b\x41\xe7\x68" - , x = 0x699f1c07aa458c6786e770b40197235fe49cf21a - , y = 0x3a41b0678ff3c4dde20fa39772bac31a2f18bae4bedec9e12ee8e02e30e556b1a136013bef96b0d30b568233dcecc71e485ed75c922afb4d0654e709bee84993792130220e3005fdb06ebdfc0e2df163b5ec424e836465acd6d92e243c86f2b94b26b8d73bd9cf722c757e0b80b0af16f185de70e8ca850b1402d126ea60f309 - , k = 0x5bbb795bfa5fa72191fed3434a08741410367491 - , r = 0x579761039ae0ddb81106bf4968e320083bbcb947 - , s = 0x503ea15dbac9dedeba917fa8e9f386b93aa30353 - , pgq = dsaParams - } - , VectorDSA - { msg = "\x2d\xa7\x9d\x06\x78\x85\xeb\x3c\xcf\x5e\x29\x3a\xe3\xb1\xd8\x22\x53\x22\x20\x3a\xbb\x5a\xdf\xde\x3b\x0f\x53\xbb\xe2\x4c\x4f\xe0\x01\x54\x1e\x11\x83\xd8\x70\xa9\x97\xf1\xf9\x46\x01\x00\xb5\xd7\x11\x92\x31\x80\x15\x43\x45\x28\x7a\x02\x14\xcf\x1c\xac\x37\xb7\xa4\x7d\xfb\xb2\xa0\xe8\xce\x49\x16\xf9\x4e\xbd\x6f\xa5\x4e\x31\x5b\x7a\x8e\xb5\xb6\x3c\xd9\x54\xc5\xba\x05\xc1\xbf\x7e\x33\xa4\xe8\xa1\x51\xf3\x2d\x28\x77\xb0\x17\x29\xc1\xad\x0e\x7c\x01\xbb\x8a\xe7\x23\xc9\x95\x18\x38\x03\xe4\x56\x36\x52\x0e\xa3\x8c\xa1" - , x = 0xd6e08c20c82949ddba93ea81eb2fea8c595894dc - , y = 0x56f7272210f316c51af8bfc45a421fd4e9b1043853271b7e79f40936f0adcf262a86097aa86e19e6cb5307685d863dba761342db6c973b3849b1e060aca926f41fe07323601062515ae85f3172b8f34899c621d59fa21f73d5ae97a3deb5e840b25a18fd580862fd7b1cf416c7ae9fc5842a0197fdb0c5173ff4a4f102a8cf89 - , k = 0x6d72c30d4430959800740f2770651095d0c181c2 - , r = 0x5dd90d69add67a5fae138eec1aaff0229aa4afc4 - , s = 0x47f39c4db2387f10762f45b80dfd027906d7ef04 - , pgq = dsaParams - } - , VectorDSA - { msg = "\xba\x30\xd8\x5b\xe3\x57\xe7\xfb\x29\xf8\xa0\x7e\x1f\x12\x7b\xaa\xa2\x4b\x2e\xe0\x27\xf6\x4c\xb5\xef\xee\xc6\xaa\xea\xbc\xc7\x34\x5c\x5d\x55\x6e\xbf\x4b\xdc\x7a\x61\xc7\x7c\x7b\x7e\xa4\x3c\x73\xba\xbc\x18\xf7\xb4\x80\x77\x22\xda\x23\x9e\x45\xdd\xf2\x49\x84\x9c\xbb\xfe\x35\x07\x11\x2e\xbf\x87\xd7\xef\x56\x0c\x2e\x7d\x39\x1e\xd8\x42\x4f\x87\x10\xce\xa4\x16\x85\x14\x3e\x30\x06\xf8\x1b\x68\xfb\xb4\xd5\xf9\x64\x4c\x7c\xd1\x0f\x70\x92\xef\x24\x39\xb8\xd1\x8c\x0d\xf6\x55\xe0\x02\x89\x37\x2a\x41\x66\x38\x5d\x64\x0c" - , x = 0x50018482864c1864e9db1f04bde8dbfd3875c76d - , y = 0x0942a5b7a72ab116ead29308cf658dfe3d55d5d61afed9e3836e64237f9d6884fdd827d2d5890c9a41ae88e7a69fc9f345ade9c480c6f08cff067c183214c227236cedb6dd1283ca2a602574e8327510221d4c27b162143b7002d8c726916826265937b87be9d5ec6d7bd28fb015f84e0ab730da7a4eaf4ef3174bf0a22a6392 - , k = 0xdf3a9348f37b5d2d4c9176db266ae388f1fa7e0f - , r = 0x448434b214eee38bde080f8ec433e8d19b3ddf0d - , s = 0x0c02e881b777923fe0ea674f2621298e00199d5f - , pgq = dsaParams - } - , VectorDSA - { msg = "\x83\x49\x9e\xfb\x06\xbb\x7f\xf0\x2f\xfb\x46\xc2\x78\xa5\xe9\x26\x30\xac\x5b\xc3\xf9\xe5\x3d\xd2\xe7\x8f\xf1\x5e\x36\x8c\x7e\x31\xaa\xd7\x7c\xf7\x71\xf3\x5f\xa0\x2d\x0b\x5f\x13\x52\x08\xa4\xaf\xdd\x86\x7b\xb2\xec\x26\xea\x2e\x7d\xd6\x4c\xde\xf2\x37\x50\x8a\x38\xb2\x7f\x39\xd8\xb2\x2d\x45\xca\xc5\xa6\x8a\x90\xb6\xea\x76\x05\x86\x45\xf6\x35\x6a\x93\x44\xd3\x6f\x00\xec\x66\x52\xea\xa4\xe9\xba\xe7\xb6\x94\xf9\xf1\xfc\x8c\x6c\x5e\x86\xfa\xdc\x7b\x27\xa2\x19\xb5\xc1\xb2\xae\x80\xa7\x25\xe5\xf6\x11\x65\xfe\x2e\xdc" - , x = 0xae56f66b0a9405b9cca54c60ec4a3bb5f8be7c3f - , y = 0xa01542c3da410dd57930ca724f0f507c4df43d553c7f69459939685941ceb95c7dcc3f175a403b359621c0d4328e98f15f330a63865baf3e7eb1604a0715e16eed64fd14b35d3a534259a6a7ddf888c4dbb5f51bbc6ed339e5bb2a239d5cfe2100ac8e2f9c16e536f25119ab435843af27dc33414a9e4602f96d7c94d6021cec - , k = 0x8857ff301ad0169d164fa269977a116e070bac17 - , r = 0x8c2fab489c34672140415d41a65cef1e70192e23 - , s = 0x3df86a9e2efe944a1c7ea9c30cac331d00599a0e - , pgq = dsaParams - } - , VectorDSA -- 1024-bit example from RFC 6979 with SHA-1 - { msg = "sample" - , x = 0x411602CB19A6CCC34494D79D98EF1E7ED5AF25F7 - , y = 0x5DF5E01DED31D0297E274E1691C192FE5868FEF9E19A84776454B100CF16F65392195A38B90523E2542EE61871C0440CB87C322FC4B4D2EC5E1E7EC766E1BE8D4CE935437DC11C3C8FD426338933EBFE739CB3465F4D3668C5E473508253B1E682F65CBDC4FAE93C2EA212390E54905A86E2223170B44EAA7DA5DD9FFCFB7F3B - , k = 0x7BDB6B0FF756E1BB5D53583EF979082F9AD5BD5B - , r = 0x2E1A0C2562B2912CAAF89186FB0F42001585DA55 - , s = 0x29EFB6B0AFF2D7A68EB70CA313022253B9A88DF5 - , pgq = rfc6979Params1024 - } - , VectorDSA -- 1024-bit example from RFC 6979 with SHA-1 - { msg = "test" - , x = 0x411602CB19A6CCC34494D79D98EF1E7ED5AF25F7 - , y = 0x5DF5E01DED31D0297E274E1691C192FE5868FEF9E19A84776454B100CF16F65392195A38B90523E2542EE61871C0440CB87C322FC4B4D2EC5E1E7EC766E1BE8D4CE935437DC11C3C8FD426338933EBFE739CB3465F4D3668C5E473508253B1E682F65CBDC4FAE93C2EA212390E54905A86E2223170B44EAA7DA5DD9FFCFB7F3B - , k = 0x5C842DF4F9E344EE09F056838B42C7A17F4A6433 - , r = 0x42AB2052FD43E123F0607F115052A67DCD9C5C77 - , s = 0x183916B0230D45B9931491D4C6B0BD2FB4AAF088 - , pgq = rfc6979Params1024 - } - , VectorDSA -- 2048-bit example from RFC 6979 with SHA-1 - { msg = "sample" - , x = 0x69C7548C21D0DFEA6B9A51C9EAD4E27C33D3B3F180316E5BCAB92C933F0E4DBC - , y = 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k = 0x888FA6F7738A41BDC9846466ABDB8174C0338250AE50CE955CA16230F9CBD53E - , r = 0x3A1B2DBD7489D6ED7E608FD036C83AF396E290DBD602408E8677DAABD6E7445A - , s = 0xD26FCBA19FA3E3058FFC02CA1596CDBB6E0D20CB37B06054F7E36DED0CDBBCCF - , pgq = rfc6979Params2048 - } - , VectorDSA -- 2048-bit example from RFC 6979 with SHA-1 - { msg = "test" - , x = 0x69C7548C21D0DFEA6B9A51C9EAD4E27C33D3B3F180316E5BCAB92C933F0E4DBC - , y = 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k = 0x6EEA486F9D41A037B2C640BC5645694FF8FF4B98D066A25F76BE641CCB24BA4F - , r = 0xC18270A93CFC6063F57A4DFA86024F700D980E4CF4E2CB65A504397273D98EA0 - , s = 0x414F22E5F31A8B6D33295C7539C1C1BA3A6160D7D68D50AC0D3A5BEAC2884FAA - , pgq = rfc6979Params2048 - } - ] - where -- (p,g,q) - dsaParams = DSA.Params - { DSA.params_p = 0xa8f9cd201e5e35d892f85f80e4db2599a5676a3b1d4f190330ed3256b26d0e80a0e49a8fffaaad2a24f472d2573241d4d6d6c7480c80b4c67bb4479c15ada7ea8424d2502fa01472e760241713dab025ae1b02e1703a1435f62ddf4ee4c1b664066eb22f2e3bf28bb70a2a76e4fd5ebe2d1229681b5b06439ac9c7e9d8bde283 - , DSA.params_g = 0x2b3152ff6c62f14622b8f48e59f8af46883b38e79b8c74deeae9df131f8b856e3ad6c8455dab87cc0da8ac973417ce4f7878557d6cdf40b35b4a0ca3eb310c6a95d68ce284ad4e25ea28591611ee08b8444bd64b25f3f7c572410ddfb39cc728b9c936f85f419129869929cdb909a6a3a99bbe089216368171bd0ba81de4fe33 - , DSA.params_q = 0xf85f0f83ac4df7ea0cdf8f469bfeeaea14156495 - } - -vectorsSHA224 = - [ VectorDSA - { msg = "sample" - , x = 0x411602CB19A6CCC34494D79D98EF1E7ED5AF25F7 - , y = 0x5DF5E01DED31D0297E274E1691C192FE5868FEF9E19A84776454B100CF16F65392195A38B90523E2542EE61871C0440CB87C322FC4B4D2EC5E1E7EC766E1BE8D4CE935437DC11C3C8FD426338933EBFE739CB3465F4D3668C5E473508253B1E682F65CBDC4FAE93C2EA212390E54905A86E2223170B44EAA7DA5DD9FFCFB7F3B - , k = 0x562097C06782D60C3037BA7BE104774344687649 - , r = 0x4BC3B686AEA70145856814A6F1BB53346F02101E - , s = 0x410697B92295D994D21EDD2F4ADA85566F6F94C1 - , pgq = rfc6979Params1024 - } - , VectorDSA - { msg = "test" - , x = 0x411602CB19A6CCC34494D79D98EF1E7ED5AF25F7 - , y = 0x5DF5E01DED31D0297E274E1691C192FE5868FEF9E19A84776454B100CF16F65392195A38B90523E2542EE61871C0440CB87C322FC4B4D2EC5E1E7EC766E1BE8D4CE935437DC11C3C8FD426338933EBFE739CB3465F4D3668C5E473508253B1E682F65CBDC4FAE93C2EA212390E54905A86E2223170B44EAA7DA5DD9FFCFB7F3B - , k = 0x4598B8EFC1A53BC8AECD58D1ABBB0C0C71E67297 - , r = 0x6868E9964E36C1689F6037F91F28D5F2C30610F2 - , s = 0x49CEC3ACDC83018C5BD2674ECAAD35B8CD22940F - , pgq = rfc6979Params1024 - } - , VectorDSA - { msg = "sample" - , x = 0x69C7548C21D0DFEA6B9A51C9EAD4E27C33D3B3F180316E5BCAB92C933F0E4DBC - , y = 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k = 0xBC372967702082E1AA4FCE892209F71AE4AD25A6DFD869334E6F153BD0C4D806 - , r = 0xDC9F4DEADA8D8FF588E98FED0AB690FFCE858DC8C79376450EB6B76C24537E2C - , s = 0xA65A9C3BC7BABE286B195D5DA68616DA8D47FA0097F36DD19F517327DC848CEC - , pgq = rfc6979Params2048 - } - , VectorDSA - { msg = "test" - , x = 0x69C7548C21D0DFEA6B9A51C9EAD4E27C33D3B3F180316E5BCAB92C933F0E4DBC - , y = 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k = 0x06BD4C05ED74719106223BE33F2D95DA6B3B541DAD7BFBD7AC508213B6DA6670 - , r = 0x272ABA31572F6CC55E30BF616B7A265312018DD325BE031BE0CC82AA17870EA3 - , s = 0xE9CC286A52CCE201586722D36D1E917EB96A4EBDB47932F9576AC645B3A60806 - , pgq = rfc6979Params2048 - } - ] - -vectorsSHA256 = - [ VectorDSA - { msg = "sample" - , x = 0x411602CB19A6CCC34494D79D98EF1E7ED5AF25F7 - , y = 0x5DF5E01DED31D0297E274E1691C192FE5868FEF9E19A84776454B100CF16F65392195A38B90523E2542EE61871C0440CB87C322FC4B4D2EC5E1E7EC766E1BE8D4CE935437DC11C3C8FD426338933EBFE739CB3465F4D3668C5E473508253B1E682F65CBDC4FAE93C2EA212390E54905A86E2223170B44EAA7DA5DD9FFCFB7F3B - , k = 0x519BA0546D0C39202A7D34D7DFA5E760B318BCFB - , r = 0x81F2F5850BE5BC123C43F71A3033E9384611C545 - , s = 0x4CDD914B65EB6C66A8AAAD27299BEE6B035F5E89 - , pgq = rfc6979Params1024 - } - , VectorDSA - { msg = "test" - , x = 0x411602CB19A6CCC34494D79D98EF1E7ED5AF25F7 - , y = 0x5DF5E01DED31D0297E274E1691C192FE5868FEF9E19A84776454B100CF16F65392195A38B90523E2542EE61871C0440CB87C322FC4B4D2EC5E1E7EC766E1BE8D4CE935437DC11C3C8FD426338933EBFE739CB3465F4D3668C5E473508253B1E682F65CBDC4FAE93C2EA212390E54905A86E2223170B44EAA7DA5DD9FFCFB7F3B - , k = 0x5A67592E8128E03A417B0484410FB72C0B630E1A - , r = 0x22518C127299B0F6FDC9872B282B9E70D0790812 - , s = 0x6837EC18F150D55DE95B5E29BE7AF5D01E4FE160 - , pgq = rfc6979Params1024 - } - , VectorDSA - { msg = "sample" - , x = 0x69C7548C21D0DFEA6B9A51C9EAD4E27C33D3B3F180316E5BCAB92C933F0E4DBC - , y = 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k = 0x8926A27C40484216F052F4427CFD5647338B7B3939BC6573AF4333569D597C52 - , r = 0xEACE8BDBBE353C432A795D9EC556C6D021F7A03F42C36E9BC87E4AC7932CC809 - , s = 0x7081E175455F9247B812B74583E9E94F9EA79BD640DC962533B0680793A38D53 - , pgq = rfc6979Params2048 - } - , VectorDSA - { msg = "test" - , x = 0x69C7548C21D0DFEA6B9A51C9EAD4E27C33D3B3F180316E5BCAB92C933F0E4DBC - , y = 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k = 0x1D6CE6DDA1C5D37307839CD03AB0A5CBB18E60D800937D67DFB4479AAC8DEAD7 - , r = 0x8190012A1969F9957D56FCCAAD223186F423398D58EF5B3CEFD5A4146A4476F0 - , s = 0x7452A53F7075D417B4B013B278D1BB8BBD21863F5E7B1CEE679CF2188E1AB19E - , pgq = rfc6979Params2048 - } - ] - -vectorsSHA384 = - [ VectorDSA - { msg = "sample" - , x = 0x411602CB19A6CCC34494D79D98EF1E7ED5AF25F7 - , y = 0x5DF5E01DED31D0297E274E1691C192FE5868FEF9E19A84776454B100CF16F65392195A38B90523E2542EE61871C0440CB87C322FC4B4D2EC5E1E7EC766E1BE8D4CE935437DC11C3C8FD426338933EBFE739CB3465F4D3668C5E473508253B1E682F65CBDC4FAE93C2EA212390E54905A86E2223170B44EAA7DA5DD9FFCFB7F3B - , k = 0x95897CD7BBB944AA932DBC579C1C09EB6FCFC595 - , r = 0x07F2108557EE0E3921BC1774F1CA9B410B4CE65A - , s = 0x54DF70456C86FAC10FAB47C1949AB83F2C6F7595 - , pgq = rfc6979Params1024 - } - , VectorDSA - { msg = "test" - , x = 0x411602CB19A6CCC34494D79D98EF1E7ED5AF25F7 - , y = 0x5DF5E01DED31D0297E274E1691C192FE5868FEF9E19A84776454B100CF16F65392195A38B90523E2542EE61871C0440CB87C322FC4B4D2EC5E1E7EC766E1BE8D4CE935437DC11C3C8FD426338933EBFE739CB3465F4D3668C5E473508253B1E682F65CBDC4FAE93C2EA212390E54905A86E2223170B44EAA7DA5DD9FFCFB7F3B - , k = 0x220156B761F6CA5E6C9F1B9CF9C24BE25F98CD89 - , r = 0x854CF929B58D73C3CBFDC421E8D5430CD6DB5E66 - , s = 0x91D0E0F53E22F898D158380676A871A157CDA622 - , pgq = rfc6979Params1024 - } - , VectorDSA - { msg = "sample" - , x = 0x69C7548C21D0DFEA6B9A51C9EAD4E27C33D3B3F180316E5BCAB92C933F0E4DBC - , y = 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k = 0xC345D5AB3DA0A5BCB7EC8F8FB7A7E96069E03B206371EF7D83E39068EC564920 - , r = 0xB2DA945E91858834FD9BF616EBAC151EDBC4B45D27D0DD4A7F6A22739F45C00B - , s = 0x19048B63D9FD6BCA1D9BAE3664E1BCB97F7276C306130969F63F38FA8319021B - , pgq = rfc6979Params2048 - } - , VectorDSA - { msg = "test" - , x = 0x69C7548C21D0DFEA6B9A51C9EAD4E27C33D3B3F180316E5BCAB92C933F0E4DBC - , y = 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k = 0x206E61F73DBE1B2DC8BE736B22B079E9DACD974DB00EEBBC5B64CAD39CF9F91C - , r = 0x239E66DDBE8F8C230A3D071D601B6FFBDFB5901F94D444C6AF56F732BEB954BE - , s = 0x6BD737513D5E72FE85D1C750E0F73921FE299B945AAD1C802F15C26A43D34961 - , pgq = rfc6979Params2048 - } - ] - -vectorsSHA512 = - [ VectorDSA - { msg = "sample" - , x = 0x411602CB19A6CCC34494D79D98EF1E7ED5AF25F7 - , y = 0x5DF5E01DED31D0297E274E1691C192FE5868FEF9E19A84776454B100CF16F65392195A38B90523E2542EE61871C0440CB87C322FC4B4D2EC5E1E7EC766E1BE8D4CE935437DC11C3C8FD426338933EBFE739CB3465F4D3668C5E473508253B1E682F65CBDC4FAE93C2EA212390E54905A86E2223170B44EAA7DA5DD9FFCFB7F3B - , k = 0x09ECE7CA27D0F5A4DD4E556C9DF1D21D28104F8B - , r = 0x16C3491F9B8C3FBBDD5E7A7B667057F0D8EE8E1B - , s = 0x02C36A127A7B89EDBB72E4FFBC71DABC7D4FC69C - , pgq = rfc6979Params1024 - } - , VectorDSA - { msg = "test" - , x = 0x411602CB19A6CCC34494D79D98EF1E7ED5AF25F7 - , y = 0x5DF5E01DED31D0297E274E1691C192FE5868FEF9E19A84776454B100CF16F65392195A38B90523E2542EE61871C0440CB87C322FC4B4D2EC5E1E7EC766E1BE8D4CE935437DC11C3C8FD426338933EBFE739CB3465F4D3668C5E473508253B1E682F65CBDC4FAE93C2EA212390E54905A86E2223170B44EAA7DA5DD9FFCFB7F3B - , k = 0x65D2C2EEB175E370F28C75BFCDC028D22C7DBE9C - , r = 0x8EA47E475BA8AC6F2D821DA3BD212D11A3DEB9A0 - , s = 0x7C670C7AD72B6C050C109E1790008097125433E8 - , pgq = rfc6979Params1024 - } - , VectorDSA - { msg = "sample" - , x = 0x69C7548C21D0DFEA6B9A51C9EAD4E27C33D3B3F180316E5BCAB92C933F0E4DBC - , y = 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k = 0x5A12994431785485B3F5F067221517791B85A597B7A9436995C89ED0374668FC - , r = 0x2016ED092DC5FB669B8EFB3D1F31A91EECB199879BE0CF78F02BA062CB4C942E - , s = 0xD0C76F84B5F091E141572A639A4FB8C230807EEA7D55C8A154A224400AFF2351 - , pgq = rfc6979Params2048 - } - , VectorDSA - { msg = "test" - , x = 0x69C7548C21D0DFEA6B9A51C9EAD4E27C33D3B3F180316E5BCAB92C933F0E4DBC - , y = 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k = 0xAFF1651E4CD6036D57AA8B2A05CCF1A9D5A40166340ECBBDC55BE10B568AA0AA - , r = 0x89EC4BB1400ECCFF8E7D9AA515CD1DE7803F2DAFF09693EE7FD1353E90A68307 - , s = 0xC9F0BDABCC0D880BB137A994CC7F3980CE91CC10FAF529FC46565B15CEA854E1 - , pgq = rfc6979Params2048 - } - ] - -rfc6979Params1024 = DSA.Params - { DSA.params_p = 0x86F5CA03DCFEB225063FF830A0C769B9DD9D6153AD91D7CE27F787C43278B447E6533B86B18BED6E8A48B784A14C252C5BE0DBF60B86D6385BD2F12FB763ED8873ABFD3F5BA2E0A8C0A59082EAC056935E529DAF7C610467899C77ADEDFC846C881870B7B19B2B58F9BE0521A17002E3BDD6B86685EE90B3D9A1B02B782B1779 - , DSA.params_g = 0x07B0F92546150B62514BB771E2A0C0CE387F03BDA6C56B505209FF25FD3C133D89BBCD97E904E09114D9A7DEFDEADFC9078EA544D2E401AEECC40BB9FBBF78FD87995A10A1C27CB7789B594BA7EFB5C4326A9FE59A070E136DB77175464ADCA417BE5DCE2F40D10A46A3A3943F26AB7FD9C0398FF8C76EE0A56826A8A88F1DBD - , DSA.params_q = 0x996F967F6C8E388D9E28D01E205FBA957A5698B1 - } - -rfc6979Params2048 = DSA.Params - { DSA.params_p = 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params_g = 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params_q = 0xF2C3119374CE76C9356990B465374A17F23F9ED35089BD969F61C6DDE9998C1F - } - -vectorToPrivate :: VectorDSA -> DSA.PrivateKey -vectorToPrivate vector = DSA.PrivateKey - { DSA.private_x = x vector - , DSA.private_params = pgq vector - } - -vectorToPublic :: VectorDSA -> DSA.PublicKey -vectorToPublic vector = DSA.PublicKey - { DSA.public_y = y vector - , DSA.public_params = pgq vector - } - -doSignatureTest hashAlg i vector = testCase (show i) (expected @=? actual) - where expected = Just $ DSA.Signature (r vector) (s vector) - actual = DSA.signWith (k vector) (vectorToPrivate vector) hashAlg (msg vector) - -doVerifyTest hashAlg i vector = testCase (show i) (True @=? actual) - where actual = DSA.verify hashAlg (vectorToPublic vector) (DSA.Signature (r vector) (s vector)) (msg vector) - -dsaTests = testGroup "DSA" - [ testGroup "SHA1" - [ testGroup "signature" $ zipWith (doSignatureTest SHA1) [katZero..] vectorsSHA1 - , testGroup "verify" $ zipWith (doVerifyTest SHA1) [katZero..] vectorsSHA1 - ] - , testGroup "SHA224" - [ testGroup "signature" $ zipWith (doSignatureTest SHA224) [katZero..] vectorsSHA224 - , testGroup "verify" $ zipWith (doVerifyTest SHA224) [katZero..] vectorsSHA224 - ] - , testGroup "SHA256" - [ testGroup "signature" $ zipWith (doSignatureTest SHA256) [katZero..] vectorsSHA256 - , testGroup "verify" $ zipWith (doVerifyTest SHA256) [katZero..] vectorsSHA256 - ] - , testGroup "SHA384" - [ testGroup "signature" $ zipWith (doSignatureTest SHA384) [katZero..] vectorsSHA384 - , testGroup "verify" $ zipWith (doVerifyTest SHA384) [katZero..] vectorsSHA384 - ] - , testGroup "SHA512" - [ testGroup "signature" $ zipWith (doSignatureTest SHA512) [katZero..] vectorsSHA512 - , testGroup "verify" $ zipWith (doVerifyTest SHA512) [katZero..] vectorsSHA512 - ] - ] diff --git a/tests/KAT_PubKey/ECC.hs b/tests/KAT_PubKey/ECC.hs deleted file mode 100644 --- a/tests/KAT_PubKey/ECC.hs +++ /dev/null @@ -1,212 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_PubKey.ECC (eccTests, eccKatTests) where - -import Control.Arrow (second) - -import qualified Crypto.PubKey.ECC.Types as ECC -import qualified Crypto.PubKey.ECC.Prim as ECC - -import Test.Tasty.KAT -import Test.Tasty.KAT.FileLoader - -import Imports - -instance Arbitrary ECC.Curve where - arbitrary = ECC.getCurveByName <$> elements - [ ECC.SEC_p112r1 - , ECC.SEC_p112r2 - , ECC.SEC_p128r1 - , ECC.SEC_p128r2 - , ECC.SEC_p160k1 - , ECC.SEC_p160r1 - , ECC.SEC_p160r2 - , ECC.SEC_p192k1 - , ECC.SEC_p192r1 - , ECC.SEC_p224k1 - , ECC.SEC_p224r1 - , ECC.SEC_p256k1 - , ECC.SEC_p256r1 - , ECC.SEC_p384r1 - , ECC.SEC_p521r1 - , ECC.SEC_t113r1 - , ECC.SEC_t113r2 - , ECC.SEC_t131r1 - , ECC.SEC_t131r2 - , ECC.SEC_t163k1 - , ECC.SEC_t163r1 - , ECC.SEC_t163r2 - , ECC.SEC_t193r1 - , ECC.SEC_t193r2 - , ECC.SEC_t233k1 - , ECC.SEC_t233r1 - , ECC.SEC_t239k1 - , ECC.SEC_t283k1 - , ECC.SEC_t283r1 - , ECC.SEC_t409k1 - , ECC.SEC_t409r1 - , ECC.SEC_t571k1 - , ECC.SEC_t571r1 - ] - -data VectorPoint = VectorPoint - { curve :: ECC.Curve - , x :: Integer - , y :: Integer - , valid :: Bool - } - -vectorsPoint = - [ VectorPoint - { curve = ECC.getCurveByName ECC.SEC_p192r1 - , x = 0x491c0c4761b0a4a147b5e4ce03a531546644f5d1e3d05e57 - , y = 0x6fa5addd47c5d6be3933fbff88f57a6c8ca0232c471965de - , valid = False -- point not on curve - } - , VectorPoint - { curve = ECC.getCurveByName ECC.SEC_p192r1 - , x = 0x646c22e8aa5f7833390e0399155ac198ae42470bba4fc834 - , y = 0x8d4afcfffd80e69a4d180178b37c44572495b7b267ee32a9 - , valid = True - } - , VectorPoint - { curve = ECC.getCurveByName ECC.SEC_p192r1 - , x = 0x4c6b9ea0dec92ecfff7799470be6a2277b9169daf45d54bb - , y = 0xf0eab42826704f51b26ae98036e83230becb639dd1964627 - , valid = False -- point not on curve - } - - , VectorPoint - { curve = ECC.getCurveByName ECC.SEC_p192r1 - , x = 0x0673c8bb717b055c3d6f55c06acfcfb7260361ed3ec0f414 - , y = 0xba8b172826eb0b854026968d2338a180450a27906f6eddea - , valid = True - } - - , VectorPoint - { curve = ECC.getCurveByName ECC.SEC_p192r1 - , x = 0x82c949295156192df0b52480e38c810751ac570daec460a3 - , y = 0x200057ada615c80b8ff256ce8d47f2562b74a438f1921ac3 - , valid = False -- point not on curve - } - - , VectorPoint - { curve = ECC.getCurveByName ECC.SEC_p192r1 - , x = 0x284fbaa76ce0faae2ca4867d01092fa1ace5724cd12c8dd0 - , y = 0xe42af3dbf3206be3fcbcc3a7ccaf60c73dc29e7bb9b44fca - , valid = True - } - - , VectorPoint - { curve = ECC.getCurveByName ECC.SEC_p192r1 - , x = 0x1b574acd4fb0f60dde3e3b5f3f0e94211f95112e43cba6fd2 - , y = 0xbcc1b8a770f01a22e84d7f14e44932ffe094d8e3b1e6ac26 - , valid = False -- x or y out of range - } - - , VectorPoint - { curve = ECC.getCurveByName ECC.SEC_p192r1 - , x = 0x16ba109f1f1bb44e0d05b80181c03412ea764a59601d17e9f - , y = 0x0569a843dbb4e287db420d6b9fe30cd7b5d578b052315f56 - , valid = False -- x or y out of range - } - - , VectorPoint - { curve = ECC.getCurveByName ECC.SEC_p192r1 - , x = 0x1333308a7c833ede5189d25ea3525919c9bd16370d904938d - , y = 0xb10fd01d67df75ff9b726c700c1b50596c9f0766ea56f80e - , valid = False -- x or y out of range - } - , VectorPoint - { curve = ECC.getCurveByName ECC.SEC_p192r1 - , x = 0x9671ec444cff24c8a5be80b018fa505ed6109a731e88c91a - , y = 0xfe79dae23008e46bf4230c895aab261a95845a77f06d0655 - , valid = True - } - , VectorPoint - { curve = ECC.getCurveByName ECC.SEC_p192r1 - , x = 0x158e8b6f0b14216bc52fe8897b4305d870ede70436a96741d - , y = 0xfb3f970b19a313571a1a23be310923f85acc1cab0a157cbd - , valid = False -- x or y out of range - } - , VectorPoint - { curve = ECC.getCurveByName ECC.SEC_p192r1 - , x = 0xace95b650c08f73dbb4fa7b4bbdebd6b809a25b28ed135ef - , y = 0xe9b8679404166d1329dd539ad52aad9a1b6681f5f26bb9aa - , valid = False -- point not on curve - } - ] - -doPointValidTest i vector = testCase (show i) (valid vector @=? ECC.isPointValid (curve vector) (ECC.Point (x vector) (y vector))) - -arbitraryPoint :: ECC.Curve -> Gen ECC.Point -arbitraryPoint aCurve = - frequency [(5, return ECC.PointO), (95, pointGen)] - where - n = ECC.ecc_n (ECC.common_curve aCurve) - pointGen = ECC.pointBaseMul aCurve <$> choose (1, n - 1) - -eccTests = testGroup "ECC" - [ testGroup "valid-point" $ zipWith doPointValidTest [katZero..] vectorsPoint - , localOption (QuickCheckTests 20) $ testGroup "property" - [ testProperty "point-add" $ \aCurve (QAInteger r1) (QAInteger r2) -> - let curveN = ECC.ecc_n . ECC.common_curve $ aCurve - curveGen = ECC.ecc_g . ECC.common_curve $ aCurve - p1 = ECC.pointMul aCurve r1 curveGen - p2 = ECC.pointMul aCurve r2 curveGen - pR = ECC.pointMul aCurve ((r1 + r2) `mod` curveN) curveGen - in pR `propertyEq` ECC.pointAdd aCurve p1 p2 - , testProperty "point-negate-add" $ \aCurve -> do - p <- arbitraryPoint aCurve - let o = ECC.pointAdd aCurve p (ECC.pointNegate aCurve p) - return $ ECC.PointO `propertyEq` o - , testProperty "point-negate-negate" $ \aCurve -> do - p <- arbitraryPoint aCurve - return $ p `propertyEq` ECC.pointNegate aCurve (ECC.pointNegate aCurve p) - , testProperty "point-mul-mul" $ \aCurve (QAInteger n1) (QAInteger n2) -> do - p <- arbitraryPoint aCurve - let pRes = ECC.pointMul aCurve (n1 * n2) p - let pDef = ECC.pointMul aCurve n1 (ECC.pointMul aCurve n2 p) - return $ pRes `propertyEq` pDef - , testProperty "double-scalar-mult" $ \aCurve (QAInteger n1) (QAInteger n2) -> do - p1 <- arbitraryPoint aCurve - p2 <- arbitraryPoint aCurve - let pRes = ECC.pointAddTwoMuls aCurve n1 p1 n2 p2 - let pDef = ECC.pointAdd aCurve (ECC.pointMul aCurve n1 p1) (ECC.pointMul aCurve n2 p2) - return $ pRes `propertyEq` pDef - ] - ] - -eccKatTests = do - res <- testKatLoad "KATs/ECC-PKV.txt" (map (second (map toVector)) . katLoaderSimple) - return $ testKatDetailed {-Grouped-} "ECC/valid-point" res (\g vect -> do - let mCurve = ECC.getCurveByName <$> case g of - "P-192" -> Just ECC.SEC_p192r1 - "P-224" -> Just ECC.SEC_p224r1 - "P-256" -> Just ECC.SEC_p256r1 - "P-384" -> Just ECC.SEC_p384r1 - "P-521" -> Just ECC.SEC_p521r1 - "B-163" -> Just ECC.SEC_t163r2 - "B-233" -> Just ECC.SEC_t233r1 - "B-283" -> Just ECC.SEC_t283r1 - "B-409" -> Just ECC.SEC_t409r1 - "B-571" -> Just ECC.SEC_t571r1 - "" -> Nothing - _ -> Nothing -{- - "K-163" -> Just ECC.SEC_t163k1 - "K-233" -> Just ECC.SEC_t233k1 - "K-283" -> Just ECC.SEC_t283k1 - "K-409" -> Just ECC.SEC_t409k1 - "K-571" -> Just ECC.SEC_t571k1 --} - case mCurve of - Nothing -> return True - Just c -> do - return (ECC.isPointValid c (ECC.Point (x vect) (y vect)) == valid vect) - ) - - where toVector kvs = - case sequence $ map (flip lookup kvs) [ "Qx", "Qy", "Result" ] of - Just [qx,qy,res] -> VectorPoint undefined (valueHexInteger qx) (valueHexInteger qy) (head res /= 'F') - Just _ -> error ("ERROR: " ++ show kvs) - Nothing -> error ("ERROR: " ++ show kvs) -- VectorPoint undefined 0 0 True diff --git a/tests/KAT_PubKey/ECDSA.hs b/tests/KAT_PubKey/ECDSA.hs deleted file mode 100644 --- a/tests/KAT_PubKey/ECDSA.hs +++ /dev/null @@ -1,521 +0,0 @@ --- Test vectors for SHA1 are taken from GEC2: www.secg.org/collateral/gec2.pdf --- Test vectors for SHA224, SHA256, SHA384, SHA512 are taken from RFC 6979 -{-# LANGUAGE OverloadedStrings #-} -module KAT_PubKey.ECDSA (ecdsaTests) where - -import Crypto.Number.Serialize - -import qualified Crypto.PubKey.ECC.ECDSA as ECDSA -import qualified Crypto.PubKey.ECC.Types as ECC -import Crypto.Hash (SHA1(..), SHA224(..), SHA256(..), SHA384(..), SHA512(..)) - -import Imports - -data VectorECDSA = VectorECDSA - { curve :: ECC.Curve - , msg :: ByteString - , d :: Integer - , q :: ECC.Point - , k :: Integer - , r :: Integer - , s :: Integer - } - -vectorsSHA1 = - [ VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p160r1 - , msg = "abc" - , d = 971761939728640320549601132085879836204587084162 - , q = ECC.Point 466448783855397898016055842232266600516272889280 - 1110706324081757720403272427311003102474457754220 - , k = 702232148019446860144825009548118511996283736794 - , r = 1176954224688105769566774212902092897866168635793 - , s = 299742580584132926933316745664091704165278518100 - } - -- from official ECDSA KATs - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_t163k1 - , msg = i2osp 0xa2c1a03fdd00521bb08fc88d20344321977aaf637ef9d5470dd7d2c8628fc8d0d1f1d3587c6b3fd02386f8c13db341b14748a9475cc63baf065df64054b27d5c2cdf0f98e3bbb81d0b5dc94f8cdb87acf75720f6163de394c8c6af360bc1acb85b923a493b7b27cc111a257e36337bd94eb0fab9d5e633befb1ae7f1b244bfaa - , d = 0x00000011f2626d90d26cb4c0379043b26e64107fc - , q = ECC.Point 0x0389fa5ad7f8304325a8c060ef7dcb83042c045bc - 0x0eefa094a5054da196943cc80509dcb9f59e5bc2e - , k = 0x0000000c3a4ff97286126dab1e5089395fcc47ebb - , r = 0x0dbe6c3a1dc851e7f2338b5c26c62b4b37bf8035c - , s = 0x1c76458135b1ff9fbd23009b8414a47996126b56a - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_t163k1 - , msg = i2osp 0x67048080daaeb77d3ac31babdf8be23dbe75ceb4dfb94aa8113db5c5dcb6fe14b70f717b7b0ed0881835a66a86e6d840ffcb7d976c75ef2d1d4322fbbc86357384e24707aef88cea2c41a01a9a3d1b9e72ce650c7fdecc4f9448d3a77df6cdf13647ab295bb3132de0b1b2c402d8d2de7d452f1e003e0695de1470d1064eee16 - , d = 0x00000006a3803301daee9af09bb5b6c991a4f49a4 - , q = ECC.Point 0x4b500f555e857da8c299780130c5c3f48f02ee322 0x5c1c0ae25b47f06cc46fb86b12d2d8c0ba6a4bf07 - , k = 0x0000002f39fbf77f3e0dc046116de692b6cf91b16 - , r = 0x3d3eeda42f65d727f4a564f1415654356c6c57a6c - , s = 0x35e4d43c5f08baddf138449db1ad0b7872552b7cd - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_t163k1 - , msg = i2osp 0x77e007dc2acd7248256165a4b30e98986f51a81efd926b85f74c81bc2a6d2bcd030060a844091e22fbb0ff3db5a20caaefb5d58ccdcbc27f0ff8a4d940e78f303079ec1ca5b0ca3d4ecc7580f8b34a9f0496c9e719d2ec3e1614b7644bc11179e895d2c0b58a1da204fbf0f6e509f97f983eacb6487092caf6e8e4e6b3c458b2 - , d = 0x0000002e28676514bd93fea11b62db0f6e324b18d - , q = ECC.Point 0x3f9c90b71f6a1de20a2716f38ef1b5f98c757bd42 0x2ff0a5d266d447ef62d43fbca6c34c08c1ce35a40 - , k = 0x00000001233ae699883e74e7f4dfb5279ff22280a - , r = 0x39de3cd2cf04145e522b8fba3f23e9218226e0860 - , s = 0x2af62bfb3cfa202e2342606ee5bb0934c3b0375b6 - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_t163k1 - , msg = i2osp 0xfbacfcce4688748406ddf5c3495021eef8fb399865b649eb2395a04a1ab28335da2c236d306fcc59f7b65ea931cf0139571e1538ede5688958c3ac69f47a285362f5ad201f89cc735b7b465408c2c41b310fc8908d0be45054df2a7351fae36b390e842f3b5cdd9ad832940df5b2d25c2ed43ce86eaf2508bcf401ae58bb1d47 - , d = 0x000000361dd088e3a6d3c910686c8dce57e5d4d8e - , q = ECC.Point 0x064f905c1da9d7e9c32d81890ae6f30dcc7839d32 0x06f1faedb6d9032016d3b681e7cf69c29d29eb27b - , k = 0x00000022f723e9f5da56d3d0837d5dca2f937395f - , r = 0x374cdc8571083fecfbd4e25e1cd69ecc66b715f2d - , s = 0x313b10949222929b2f20b15d446c27d6dcae3f086 - } - ] - -rfc6979_vectorsSHA224 = - [ VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p192r1 - , msg = "sample" - , d = 0x6fab034934e4c0fc9ae67f5b5659a9d7d1fefd187ee09fd4 - , q = ECC.Point 0xac2c77f529f91689fea0ea5efec7f210d8eea0b9e047ed56 - 0x3bc723e57670bd4887ebc732c523063d0a7c957bc97c1c43 - , k = 0x4381526b3fc1e7128f202e194505592f01d5ff4c5af015d8 - , r = 0xa1f00dad97aeec91c95585f36200c65f3c01812aa60378f5 - , s = 0xe07ec1304c7c6c9debbe980b9692668f81d4de7922a0f97a - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p192r1 - , msg = "test" - , d = 0x6fab034934e4c0fc9ae67f5b5659a9d7d1fefd187ee09fd4 - , q = ECC.Point 0xac2c77f529f91689fea0ea5efec7f210d8eea0b9e047ed56 - 0x3bc723e57670bd4887ebc732c523063d0a7c957bc97c1c43 - , k = 0xf5dc805f76ef851800700cce82e7b98d8911b7d510059fbe - , r = 0x6945a1c1d1b2206b8145548f633bb61cef04891baf26ed34 - , s = 0xb7fb7fdfc339c0b9bd61a9f5a8eaf9be58fc5cba2cb15293 - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p224r1 - , msg = "sample" - , d = 0xf220266e1105bfe3083e03ec7a3a654651f45e37167e88600bf257c1 - , q = ECC.Point 0x00cf08da5ad719e42707fa431292dea11244d64fc51610d94b130d6c - 0xeeab6f3debe455e3dbf85416f7030cbd94f34f2d6f232c69f3c1385a - , k = 0xc1d1f2f10881088301880506805feb4825fe09acb6816c36991aa06d - , r = 0x1cdfe6662dde1e4a1ec4cdedf6a1f5a2fb7fbd9145c12113e6abfd3e - , s = 0xa6694fd7718a21053f225d3f46197ca699d45006c06f871808f43ebc - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p224r1 - , msg = "test" - , d = 0xf220266e1105bfe3083e03ec7a3a654651f45e37167e88600bf257c1 - , q = ECC.Point 0x00cf08da5ad719e42707fa431292dea11244d64fc51610d94b130d6c - 0xeeab6f3debe455e3dbf85416f7030cbd94f34f2d6f232c69f3c1385a - , k = 0xdf8b38d40dca3e077d0ac520bf56b6d565134d9b5f2eae0d34900524 - , r = 0xc441ce8e261ded634e4cf84910e4c5d1d22c5cf3b732bb204dbef019 - , s = 0x902f42847a63bdc5f6046ada114953120f99442d76510150f372a3f4 - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p256r1 - , msg = "sample" - , d = 0xc9afa9d845ba75166b5c215767b1d6934e50c3db36e89b127b8a622b120f6721 - , q = ECC.Point 0x60fed4ba255a9d31c961eb74c6356d68c049b8923b61fa6ce669622e60f29fb6 - 0x7903fe1008b8bc99a41ae9e95628bc64f2f1b20c2d7e9f5177a3c294d4462299 - , k = 0x103f90ee9dc52e5e7fb5132b7033c63066d194321491862059967c715985d473 - , r = 0x53b2fff5d1752b2c689df257c04c40a587fababb3f6fc2702f1343af7ca9aa3f - , s = 0xb9afb64fdc03dc1a131c7d2386d11e349f070aa432a4acc918bea988bf75c74c - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p256r1 - , msg = "test" - , d = 0xc9afa9d845ba75166b5c215767b1d6934e50c3db36e89b127b8a622b120f6721 - , q = ECC.Point 0x60fed4ba255a9d31c961eb74c6356d68c049b8923b61fa6ce669622e60f29fb6 - 0x7903fe1008b8bc99a41ae9e95628bc64f2f1b20c2d7e9f5177a3c294d4462299 - , k = 0x669f4426f2688b8be0db3a6bd1989bdaefff84b649eeb84f3dd26080f667faa7 - , r = 0xc37edb6f0ae79d47c3c27e962fa269bb4f441770357e114ee511f662ec34a692 - , s = 0xc820053a05791e521fcaad6042d40aea1d6b1a540138558f47d0719800e18f2d - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p384r1 - , msg = "sample" - , d = 0x6b9d3dad2e1b8c1c05b19875b6659f4de23c3b667bf297ba9aa47740787137d896d5724e4c70a825f872c9ea60d2edf5 - , q = ECC.Point 0xec3a4e415b4e19a4568618029f427fa5da9a8bc4ae92e02e06aae5286b300c64def8f0ea9055866064a254515480bc13 - 0x8015d9b72d7d57244ea8ef9ac0c621896708a59367f9dfb9f54ca84b3f1c9db1288b231c3ae0d4fe7344fd2533264720 - , k = 0xa4e4d2f0e729eb786b31fc20ad5d849e304450e0ae8e3e341134a5c1afa03cab8083ee4e3c45b06a5899ea56c51b5879 - , r = 0x42356e76b55a6d9b4631c865445dbe54e056d3b3431766d0509244793c3f9366450f76ee3de43f5a125333a6be060122 - , s = 0x9da0c81787064021e78df658f2fbb0b042bf304665db721f077a4298b095e4834c082c03d83028efbf93a3c23940ca8d - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p384r1 - , msg = "test" - , d = 0x6b9d3dad2e1b8c1c05b19875b6659f4de23c3b667bf297ba9aa47740787137d896d5724e4c70a825f872c9ea60d2edf5 - , q = ECC.Point 0xec3a4e415b4e19a4568618029f427fa5da9a8bc4ae92e02e06aae5286b300c64def8f0ea9055866064a254515480bc13 - 0x8015d9b72d7d57244ea8ef9ac0c621896708a59367f9dfb9f54ca84b3f1c9db1288b231c3ae0d4fe7344fd2533264720 - , k = 0x18fa39db95aa5f561f30fa3591dc59c0fa3653a80daffa0b48d1a4c6dfcbff6e3d33be4dc5eb8886a8ecd093f2935726 - , r = 0xe8c9d0b6ea72a0e7837fea1d14a1a9557f29faa45d3e7ee888fc5bf954b5e62464a9a817c47ff78b8c11066b24080e72 - , s = 0x07041d4a7a0379ac7232ff72e6f77b6ddb8f09b16cce0ec3286b2bd43fa8c6141c53ea5abef0d8231077a04540a96b66 - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p521r1 - , msg = "sample" - , d = 0x0fad06daa62ba3b25d2fb40133da757205de67f5bb0018fee8c86e1b68c7e75caa896eb32f1f47c70855836a6d16fcc1466f6d8fbec67db89ec0c08b0e996b83538 - , q = ECC.Point 0x1894550d0785932e00eaa23b694f213f8c3121f86dc97a04e5a7167db4e5bcd371123d46e45db6b5d5370a7f20fb633155d38ffa16d2bd761dcac474b9a2f5023a4 - 0x0493101c962cd4d2fddf782285e64584139c2f91b47f87ff82354d6630f746a28a0db25741b5b34a828008b22acc23f924faafbd4d33f81ea66956dfeaa2bfdfcf5 - , k = 0x121415ec2cd7726330a61f7f3fa5de14be9436019c4db8cb4041f3b54cf31be0493ee3f427fb906393d895a19c9523f3a1d54bb8702bd4aa9c99dab2597b92113f3 - , r = 0x1776331cfcdf927d666e032e00cf776187bc9fdd8e69d0dabb4109ffe1b5e2a30715f4cc923a4a5e94d2503e9acfed92857b7f31d7152e0f8c00c15ff3d87e2ed2e - , s = 0x050cb5265417fe2320bbb5a122b8e1a32bd699089851128e360e620a30c7e17ba41a666af126ce100e5799b153b60528d5300d08489ca9178fb610a2006c254b41f - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p521r1 - , msg = "test" - , d = 0x0fad06daa62ba3b25d2fb40133da757205de67f5bb0018fee8c86e1b68c7e75caa896eb32f1f47c70855836a6d16fcc1466f6d8fbec67db89ec0c08b0e996b83538 - , q = ECC.Point 0x1894550d0785932e00eaa23b694f213f8c3121f86dc97a04e5a7167db4e5bcd371123d46e45db6b5d5370a7f20fb633155d38ffa16d2bd761dcac474b9a2f5023a4 - 0x0493101c962cd4d2fddf782285e64584139c2f91b47f87ff82354d6630f746a28a0db25741b5b34a828008b22acc23f924faafbd4d33f81ea66956dfeaa2bfdfcf5 - , k = 0x040d09fcf3c8a5f62cf4fb223cbbb2b9937f6b0577c27020a99602c25a01136987e452988781484edbbcf1c47e554e7fc901bc3085e5206d9f619cff07e73d6f706 - , r = 0x1c7ed902e123e6815546065a2c4af977b22aa8eaddb68b2c1110e7ea44d42086bfe4a34b67ddc0e17e96536e358219b23a706c6a6e16ba77b65e1c595d43cae17fb - , s = 0x177336676304fcb343ce028b38e7b4fba76c1c1b277da18cad2a8478b2a9a9f5bec0f3ba04f35db3e4263569ec6aade8c92746e4c82f8299ae1b8f1739f8fd519a4 - } - ] - -rfc6979_vectorsSHA256 = - [ VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p192r1 - , msg = "sample" - , d = 0x6fab034934e4c0fc9ae67f5b5659a9d7d1fefd187ee09fd4 - , q = ECC.Point 0xac2c77f529f91689fea0ea5efec7f210d8eea0b9e047ed56 - 0x3bc723e57670bd4887ebc732c523063d0a7c957bc97c1c43 - , k = 0x32b1b6d7d42a05cb449065727a84804fb1a3e34d8f261496 - , r = 0x4b0b8ce98a92866a2820e20aa6b75b56382e0f9bfd5ecb55 - , s = 0xccdb006926ea9565cbadc840829d8c384e06de1f1e381b85 - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p192r1 - , msg = "test" - , d = 0x6fab034934e4c0fc9ae67f5b5659a9d7d1fefd187ee09fd4 - , q = ECC.Point 0xac2c77f529f91689fea0ea5efec7f210d8eea0b9e047ed56 - 0x3bc723e57670bd4887ebc732c523063d0a7c957bc97c1c43 - , k = 0x5c4ce89cf56d9e7c77c8585339b006b97b5f0680b4306c6c - , r = 0x3a718bd8b4926c3b52ee6bbe67ef79b18cb6eb62b1ad97ae - , s = 0x5662e6848a4a19b1f1ae2f72acd4b8bbe50f1eac65d9124f - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p224r1 - , msg = "sample" - , d = 0xf220266e1105bfe3083e03ec7a3a654651f45e37167e88600bf257c1 - , q = ECC.Point 0x00cf08da5ad719e42707fa431292dea11244d64fc51610d94b130d6c - 0xeeab6f3debe455e3dbf85416f7030cbd94f34f2d6f232c69f3c1385a - , k = 0xad3029e0278f80643de33917ce6908c70a8ff50a411f06e41dedfcdc - , r = 0x61aa3da010e8e8406c656bc477a7a7189895e7e840cdfe8ff42307ba - , s = 0xbc814050dab5d23770879494f9e0a680dc1af7161991bde692b10101 - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p224r1 - , msg = "test" - , d = 0xf220266e1105bfe3083e03ec7a3a654651f45e37167e88600bf257c1 - , q = ECC.Point 0x00cf08da5ad719e42707fa431292dea11244d64fc51610d94b130d6c - 0xeeab6f3debe455e3dbf85416f7030cbd94f34f2d6f232c69f3c1385a - , k = 0xff86f57924da248d6e44e8154eb69f0ae2aebaee9931d0b5a969f904 - , r = 0xad04dde87b84747a243a631ea47a1ba6d1faa059149ad2440de6fba6 - , s = 0x178d49b1ae90e3d8b629be3db5683915f4e8c99fdf6e666cf37adcfd - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p256r1 - , msg = "sample" - , d = 0xc9afa9d845ba75166b5c215767b1d6934e50c3db36e89b127b8a622b120f6721 - , q = ECC.Point 0x60fed4ba255a9d31c961eb74c6356d68c049b8923b61fa6ce669622e60f29fb6 - 0x7903fe1008b8bc99a41ae9e95628bc64f2f1b20c2d7e9f5177a3c294d4462299 - , k = 0xa6e3c57dd01abe90086538398355dd4c3b17aa873382b0f24d6129493d8aad60 - , r = 0xefd48b2aacb6a8fd1140dd9cd45e81d69d2c877b56aaf991c34d0ea84eaf3716 - , s = 0xf7cb1c942d657c41d436c7a1b6e29f65f3e900dbb9aff4064dc4ab2f843acda8 - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p256r1 - , msg = "test" - , d = 0xc9afa9d845ba75166b5c215767b1d6934e50c3db36e89b127b8a622b120f6721 - , q = ECC.Point 0x60fed4ba255a9d31c961eb74c6356d68c049b8923b61fa6ce669622e60f29fb6 - 0x7903fe1008b8bc99a41ae9e95628bc64f2f1b20c2d7e9f5177a3c294d4462299 - , k = 0xd16b6ae827f17175e040871a1c7ec3500192c4c92677336ec2537acaee0008e0 - , r = 0xf1abb023518351cd71d881567b1ea663ed3efcf6c5132b354f28d3b0b7d38367 - , s = 0x019f4113742a2b14bd25926b49c649155f267e60d3814b4c0cc84250e46f0083 - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p384r1 - , msg = "sample" - , d = 0x6b9d3dad2e1b8c1c05b19875b6659f4de23c3b667bf297ba9aa47740787137d896d5724e4c70a825f872c9ea60d2edf5 - , q = ECC.Point 0xec3a4e415b4e19a4568618029f427fa5da9a8bc4ae92e02e06aae5286b300c64def8f0ea9055866064a254515480bc13 - 0x8015d9b72d7d57244ea8ef9ac0c621896708a59367f9dfb9f54ca84b3f1c9db1288b231c3ae0d4fe7344fd2533264720 - , k = 0x180ae9f9aec5438a44bc159a1fcb277c7be54fa20e7cf404b490650a8acc414e375572342863c899f9f2edf9747a9b60 - , r = 0x21b13d1e013c7fa1392d03c5f99af8b30c570c6f98d4ea8e354b63a21d3daa33bde1e888e63355d92fa2b3c36d8fb2cd - , s = 0xf3aa443fb107745bf4bd77cb3891674632068a10ca67e3d45db2266fa7d1feebefdc63eccd1ac42ec0cb8668a4fa0ab0 - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p384r1 - , msg = "test" - , d = 0x6b9d3dad2e1b8c1c05b19875b6659f4de23c3b667bf297ba9aa47740787137d896d5724e4c70a825f872c9ea60d2edf5 - , q = ECC.Point 0xec3a4e415b4e19a4568618029f427fa5da9a8bc4ae92e02e06aae5286b300c64def8f0ea9055866064a254515480bc13 - 0x8015d9b72d7d57244ea8ef9ac0c621896708a59367f9dfb9f54ca84b3f1c9db1288b231c3ae0d4fe7344fd2533264720 - 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} - ] - -rfc6979_vectorsSHA384 = - [ VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p192r1 - , msg = "sample" - , d = 0x6fab034934e4c0fc9ae67f5b5659a9d7d1fefd187ee09fd4 - , q = ECC.Point 0xac2c77f529f91689fea0ea5efec7f210d8eea0b9e047ed56 - 0x3bc723e57670bd4887ebc732c523063d0a7c957bc97c1c43 - , k = 0x4730005c4fcb01834c063a7b6760096dbe284b8252ef4311 - , r = 0xda63bf0b9abcf948fbb1e9167f136145f7a20426dcc287d5 - , s = 0xc3aa2c960972bd7a2003a57e1c4c77f0578f8ae95e31ec5e - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p192r1 - , msg = "test" - , d = 0x6fab034934e4c0fc9ae67f5b5659a9d7d1fefd187ee09fd4 - , q = ECC.Point 0xac2c77f529f91689fea0ea5efec7f210d8eea0b9e047ed56 - 0x3bc723e57670bd4887ebc732c523063d0a7c957bc97c1c43 - , k = 0x5afefb5d3393261b828db6c91fbc68c230727b030c975693 - , r = 0xb234b60b4db75a733e19280a7a6034bd6b1ee88af5332367 - , s = 0x7994090b2d59bb782be57e74a44c9a1c700413f8abefe77a - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p224r1 - , msg = "sample" - 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, k = 0x015ee46a5bf88773ed9123a5ab0807962d193719503c527b031b4c2d225092ada71f4a459bc0da98adb95837db8312ea - , r = 0x8203b63d3c853e8d77227fb377bcf7b7b772e97892a80f36ab775d509d7a5feb0542a7f0812998da8f1dd3ca3cf023db - , s = 0xddd0760448d42d8a43af45af836fce4de8be06b485e9b61b827c2f13173923e06a739f040649a667bf3b828246baa5a5 - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p521r1 - , msg = "sample" - , d = 0x0fad06daa62ba3b25d2fb40133da757205de67f5bb0018fee8c86e1b68c7e75caa896eb32f1f47c70855836a6d16fcc1466f6d8fbec67db89ec0c08b0e996b83538 - , q = ECC.Point 0x1894550d0785932e00eaa23b694f213f8c3121f86dc97a04e5a7167db4e5bcd371123d46e45db6b5d5370a7f20fb633155d38ffa16d2bd761dcac474b9a2f5023a4 - 0x0493101c962cd4d2fddf782285e64584139c2f91b47f87ff82354d6630f746a28a0db25741b5b34a828008b22acc23f924faafbd4d33f81ea66956dfeaa2bfdfcf5 - , k = 0x1546a108bc23a15d6f21872f7ded661fa8431ddbd922d0dcdb77cc878c8553ffad064c95a920a750ac9137e527390d2d92f153e66196966ea554d9adfcb109c4211 - , r = 0x1ea842a0e17d2de4f92c15315c63ddf72685c18195c2bb95e572b9c5136ca4b4b576ad712a52be9730627d16054ba40cc0b8d3ff035b12ae75168397f5d50c67451 - , s = 0x1f21a3cee066e1961025fb048bd5fe2b7924d0cd797babe0a83b66f1e35eeaf5fde143fa85dc394a7dee766523393784484bdf3e00114a1c857cde1aa203db65d61 - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p521r1 - , msg = "test" - , d = 0x0fad06daa62ba3b25d2fb40133da757205de67f5bb0018fee8c86e1b68c7e75caa896eb32f1f47c70855836a6d16fcc1466f6d8fbec67db89ec0c08b0e996b83538 - , q = ECC.Point 0x1894550d0785932e00eaa23b694f213f8c3121f86dc97a04e5a7167db4e5bcd371123d46e45db6b5d5370a7f20fb633155d38ffa16d2bd761dcac474b9a2f5023a4 - 0x0493101c962cd4d2fddf782285e64584139c2f91b47f87ff82354d6630f746a28a0db25741b5b34a828008b22acc23f924faafbd4d33f81ea66956dfeaa2bfdfcf5 - , k = 0x1f1fc4a349a7da9a9e116bfdd055dc08e78252ff8e23ac276ac88b1770ae0b5dceb1ed14a4916b769a523ce1e90ba22846af11df8b300c38818f713dadd85de0c88 - , r = 0x14bee21a18b6d8b3c93fab08d43e739707953244fdbe924fa926d76669e7ac8c89df62ed8975c2d8397a65a49dcc09f6b0ac62272741924d479354d74ff6075578c - , s = 0x133330865c067a0eaf72362a65e2d7bc4e461e8c8995c3b6226a21bd1aa78f0ed94fe536a0dca35534f0cd1510c41525d163fe9d74d134881e35141ed5e8e95b979 - } - ] - -rfc6979_vectorsSHA512 = - [ VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p192r1 - , msg = "sample" - , d = 0x6fab034934e4c0fc9ae67f5b5659a9d7d1fefd187ee09fd4 - , q = ECC.Point 0xac2c77f529f91689fea0ea5efec7f210d8eea0b9e047ed56 - 0x3bc723e57670bd4887ebc732c523063d0a7c957bc97c1c43 - , k = 0xa2ac7ab055e4f20692d49209544c203a7d1f2c0bfbc75db1 - , r = 0x4d60c5ab1996bd848343b31c00850205e2ea6922dac2e4b8 - , s = 0x3f6e837448f027a1bf4b34e796e32a811cbb4050908d8f67 - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p192r1 - , msg = "test" - , d = 0x6fab034934e4c0fc9ae67f5b5659a9d7d1fefd187ee09fd4 - , q = ECC.Point 0xac2c77f529f91689fea0ea5efec7f210d8eea0b9e047ed56 - 0x3bc723e57670bd4887ebc732c523063d0a7c957bc97c1c43 - , k = 0x0758753a5254759c7cfbad2e2d9b0792eee44136c9480527 - , r = 0xfe4f4ae86a58b6507946715934fe2d8ff9d95b6b098fe739 - , s = 0x74cf5605c98fba0e1ef34d4b5a1577a7dcf59457cae52290 - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p224r1 - , msg = "sample" - , d = 0xf220266e1105bfe3083e03ec7a3a654651f45e37167e88600bf257c1 - , q = ECC.Point 0x00cf08da5ad719e42707fa431292dea11244d64fc51610d94b130d6c - 0xeeab6f3debe455e3dbf85416f7030cbd94f34f2d6f232c69f3c1385a - , k = 0x9db103ffededf9cfdba05184f925400c1653b8501bab89cea0fbec14 - , r = 0x074bd1d979d5f32bf958ddc61e4fb4872adcafeb2256497cdac30397 - , s = 0xa4ceca196c3d5a1ff31027b33185dc8ee43f288b21ab342e5d8eb084 - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p224r1 - , msg = "test" - , d = 0xf220266e1105bfe3083e03ec7a3a654651f45e37167e88600bf257c1 - , q = ECC.Point 0x00cf08da5ad719e42707fa431292dea11244d64fc51610d94b130d6c - 0xeeab6f3debe455e3dbf85416f7030cbd94f34f2d6f232c69f3c1385a - , k = 0xe39c2aa4ea6be2306c72126d40ed77bf9739bb4d6ef2bbb1dcb6169d - , r = 0x049f050477c5add858cac56208394b5a55baebbe887fdf765047c17c - , s = 0x077eb13e7005929cefa3cd0403c7cdcc077adf4e44f3c41b2f60ecff - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p256r1 - , msg = "sample" - , d = 0xc9afa9d845ba75166b5c215767b1d6934e50c3db36e89b127b8a622b120f6721 - , q = ECC.Point 0x60fed4ba255a9d31c961eb74c6356d68c049b8923b61fa6ce669622e60f29fb6 - 0x7903fe1008b8bc99a41ae9e95628bc64f2f1b20c2d7e9f5177a3c294d4462299 - , k = 0x5fa81c63109badb88c1f367b47da606da28cad69aa22c4fe6ad7df73a7173aa5 - , r = 0x8496a60b5e9b47c825488827e0495b0e3fa109ec4568fd3f8d1097678eb97f00 - , s = 0x2362ab1adbe2b8adf9cb9edab740ea6049c028114f2460f96554f61fae3302fe - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p256r1 - , msg = "test" - , d = 0xc9afa9d845ba75166b5c215767b1d6934e50c3db36e89b127b8a622b120f6721 - , q = ECC.Point 0x60fed4ba255a9d31c961eb74c6356d68c049b8923b61fa6ce669622e60f29fb6 - 0x7903fe1008b8bc99a41ae9e95628bc64f2f1b20c2d7e9f5177a3c294d4462299 - , k = 0x6915d11632aca3c40d5d51c08daf9c555933819548784480e93499000d9f0b7f - , r = 0x461d93f31b6540894788fd206c07cfa0cc35f46fa3c91816fff1040ad1581a04 - , s = 0x39af9f15de0db8d97e72719c74820d304ce5226e32dedae67519e840d1194e55 - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p384r1 - , msg = "sample" - , d = 0x6b9d3dad2e1b8c1c05b19875b6659f4de23c3b667bf297ba9aa47740787137d896d5724e4c70a825f872c9ea60d2edf5 - , q = ECC.Point 0xec3a4e415b4e19a4568618029f427fa5da9a8bc4ae92e02e06aae5286b300c64def8f0ea9055866064a254515480bc13 - 0x8015d9b72d7d57244ea8ef9ac0c621896708a59367f9dfb9f54ca84b3f1c9db1288b231c3ae0d4fe7344fd2533264720 - , k = 0x92fc3c7183a883e24216d1141f1a8976c5b0dd797dfa597e3d7b32198bd35331a4e966532593a52980d0e3aaa5e10ec3 - , r = 0xed0959d5880ab2d869ae7f6c2915c6d60f96507f9cb3e047c0046861da4a799cfe30f35cc900056d7c99cd7882433709 - , s = 0x512c8cceee3890a84058ce1e22dbc2198f42323ce8aca9135329f03c068e5112dc7cc3ef3446defceb01a45c2667fdd5 - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p384r1 - , msg = "test" - , d = 0x6b9d3dad2e1b8c1c05b19875b6659f4de23c3b667bf297ba9aa47740787137d896d5724e4c70a825f872c9ea60d2edf5 - , q = ECC.Point 0xec3a4e415b4e19a4568618029f427fa5da9a8bc4ae92e02e06aae5286b300c64def8f0ea9055866064a254515480bc13 - 0x8015d9b72d7d57244ea8ef9ac0c621896708a59367f9dfb9f54ca84b3f1c9db1288b231c3ae0d4fe7344fd2533264720 - , k = 0x3780c4f67cb15518b6acae34c9f83568d2e12e47deab6c50a4e4ee5319d1e8ce0e2cc8a136036dc4b9c00e6888f66b6c - , r = 0xa0d5d090c9980faf3c2ce57b7ae951d31977dd11c775d314af55f76c676447d06fb6495cd21b4b6e340fc236584fb277 - , s = 0x976984e59b4c77b0e8e4460dca3d9f20e07b9bb1f63beefaf576f6b2e8b224634a2092cd3792e0159ad9cee37659c736 - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p521r1 - , msg = "sample" - , d = 0x0fad06daa62ba3b25d2fb40133da757205de67f5bb0018fee8c86e1b68c7e75caa896eb32f1f47c70855836a6d16fcc1466f6d8fbec67db89ec0c08b0e996b83538 - , q = ECC.Point 0x1894550d0785932e00eaa23b694f213f8c3121f86dc97a04e5a7167db4e5bcd371123d46e45db6b5d5370a7f20fb633155d38ffa16d2bd761dcac474b9a2f5023a4 - 0x0493101c962cd4d2fddf782285e64584139c2f91b47f87ff82354d6630f746a28a0db25741b5b34a828008b22acc23f924faafbd4d33f81ea66956dfeaa2bfdfcf5 - , k = 0x1dae2ea071f8110dc26882d4d5eae0621a3256fc8847fb9022e2b7d28e6f10198b1574fdd03a9053c08a1854a168aa5a57470ec97dd5ce090124ef52a2f7ecbffd3 - , r = 0x0c328fafcbd79dd77850370c46325d987cb525569fb63c5d3bc53950e6d4c5f174e25a1ee9017b5d450606add152b534931d7d4e8455cc91f9b15bf05ec36e377fa - , s = 0x0617cce7cf5064806c467f678d3b4080d6f1cc50af26ca209417308281b68af282623eaa63e5b5c0723d8b8c37ff0777b1a20f8ccb1dccc43997f1ee0e44da4a67a - } - , VectorECDSA - { curve = ECC.getCurveByName ECC.SEC_p521r1 - , msg = "test" - , d = 0x0fad06daa62ba3b25d2fb40133da757205de67f5bb0018fee8c86e1b68c7e75caa896eb32f1f47c70855836a6d16fcc1466f6d8fbec67db89ec0c08b0e996b83538 - , q = ECC.Point 0x1894550d0785932e00eaa23b694f213f8c3121f86dc97a04e5a7167db4e5bcd371123d46e45db6b5d5370a7f20fb633155d38ffa16d2bd761dcac474b9a2f5023a4 - 0x0493101c962cd4d2fddf782285e64584139c2f91b47f87ff82354d6630f746a28a0db25741b5b34a828008b22acc23f924faafbd4d33f81ea66956dfeaa2bfdfcf5 - , k = 0x16200813020ec986863bedfc1b121f605c1215645018aea1a7b215a564de9eb1b38a67aa1128b80ce391c4fb71187654aaa3431027bfc7f395766ca988c964dc56d - , r = 0x13e99020abf5cee7525d16b69b229652ab6bdf2affcaef38773b4b7d08725f10cdb93482fdcc54edcee91eca4166b2a7c6265ef0ce2bd7051b7cef945babd47ee6d - , s = 0x1fbd0013c674aa79cb39849527916ce301c66ea7ce8b80682786ad60f98f7e78a19ca69eff5c57400e3b3a0ad66ce0978214d13baf4e9ac60752f7b155e2de4dce3 - } - ] - -vectorToPrivate :: VectorECDSA -> ECDSA.PrivateKey -vectorToPrivate vector = ECDSA.PrivateKey (curve vector) (d vector) - -vectorToPublic :: VectorECDSA -> ECDSA.PublicKey -vectorToPublic vector = ECDSA.PublicKey (curve vector) (q vector) - -doSignatureTest hashAlg i vector = testCase (show i) (expected @=? actual) - where expected = Just $ ECDSA.Signature (r vector) (s vector) - actual = ECDSA.signWith (k vector) (vectorToPrivate vector) hashAlg (msg vector) - -doVerifyTest hashAlg i vector = testCase (show i) (True @=? actual) - where actual = ECDSA.verify hashAlg (vectorToPublic vector) (ECDSA.Signature (r vector) (s vector)) (msg vector) - -ecdsaTests = testGroup "ECDSA" - [ testGroup "SHA1" - [ testGroup "signature" $ zipWith (doSignatureTest SHA1) [katZero..] vectorsSHA1 - , testGroup "verify" $ zipWith (doVerifyTest SHA1) [katZero..] vectorsSHA1 - ] - , testGroup "SHA224" - [ testGroup "signature" $ zipWith (doSignatureTest SHA224) [katZero..] rfc6979_vectorsSHA224 - , testGroup "verify" $ zipWith (doVerifyTest SHA224) [katZero..] rfc6979_vectorsSHA224 - ] - , testGroup "SHA256" - [ testGroup "signature" $ zipWith (doSignatureTest SHA256) [katZero..] rfc6979_vectorsSHA256 - , testGroup "verify" $ zipWith (doVerifyTest SHA256) [katZero..] rfc6979_vectorsSHA256 - ] - , testGroup "SHA384" - [ testGroup "signature" $ zipWith (doSignatureTest SHA384) [katZero..] rfc6979_vectorsSHA384 - , testGroup "verify" $ zipWith (doVerifyTest SHA384) [katZero..] rfc6979_vectorsSHA384 - ] - , testGroup "SHA512" - [ testGroup "signature" $ zipWith (doSignatureTest SHA512) [katZero..] rfc6979_vectorsSHA512 - , testGroup "verify" $ zipWith (doVerifyTest SHA512) [katZero..] rfc6979_vectorsSHA512 - ] - ] diff --git a/tests/KAT_PubKey/OAEP.hs b/tests/KAT_PubKey/OAEP.hs deleted file mode 100644 --- a/tests/KAT_PubKey/OAEP.hs +++ /dev/null @@ -1,97 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_PubKey.OAEP (oaepTests) where - -import Crypto.PubKey.RSA -import qualified Crypto.PubKey.RSA.OAEP as OAEP -import Crypto.Hash - -import Imports - -rsaKeyInt = PrivateKey - { private_pub = PublicKey - { public_n = 0xbbf82f090682ce9c2338ac2b9da871f7368d07eed41043a440d6b6f07454f51fb8dfbaaf035c02ab61ea48ceeb6fcd4876ed520d60e1ec4619719d8a5b8b807fafb8e0a3dfc737723ee6b4b7d93a2584ee6a649d060953748834b2454598394ee0aab12d7b61a51f527a9a41f6c1687fe2537298ca2a8f5946f8e5fd091dbdcb - , public_e = 0x11 - , public_size = 128 - } - , private_d = 0xa5dafc5341faf289c4b988db30c1cdf83f31251e0668b42784813801579641b29410b3c7998d6bc465745e5c392669d6870da2c082a939e37fdcb82ec93edac97ff3ad5950accfbc111c76f1a9529444e56aaf68c56c092cd38dc3bef5d20a939926ed4f74a13eddfbe1a1cecc4894af9428c2b7b8883fe4463a4bc85b1cb3c1 - , private_p = 0xeecfae81b1b9b3c908810b10a1b5600199eb9f44aef4fda493b81a9e3d84f632124ef0236e5d1e3b7e28fae7aa040a2d5b252176459d1f397541ba2a58fb6599 - , private_q = 0xc97fb1f027f453f6341233eaaad1d9353f6c42d08866b1d05a0f2035028b9d869840b41666b42e92ea0da3b43204b5cfce3352524d0416a5a441e700af461503 - , private_dP = 0x54494ca63eba0337e4e24023fcd69a5aeb07dddc0183a4d0ac9b54b051f2b13ed9490975eab77414ff59c1f7692e9a2e202b38fc910a474174adc93c1f67c981 - , private_dQ = 0x471e0290ff0af0750351b7f878864ca961adbd3a8a7e991c5c0556a94c3146a7f9803f8f6f8ae342e931fd8ae47a220d1b99a495849807fe39f9245a9836da3d - , private_qinv = 0xb06c4fdabb6301198d265bdbae9423b380f271f73453885093077fcd39e2119fc98632154f5883b167a967bf402b4e9e2e0f9656e698ea3666edfb25798039f7 - } - -rsaKey1 = PrivateKey - { private_pub = PublicKey - { public_n = 0xa8b3b284af8eb50b387034a860f146c4919f318763cd6c5598c8ae4811a1e0abc4c7e0b082d693a5e7fced675cf4668512772c0cbc64a742c6c630f533c8cc72f62ae833c40bf25842e984bb78bdbf97c0107d55bdb662f5c4e0fab9845cb5148ef7392dd3aaff93ae1e6b667bb3d4247616d4f5ba10d4cfd226de88d39f16fb - , public_e = 0x010001 - , public_size = 128 - } - , private_d = 0x53339cfdb79fc8466a655c7316aca85c55fd8f6dd898fdaf119517ef4f52e8fd8e258df93fee180fa0e4ab29693cd83b152a553d4ac4d1812b8b9fa5af0e7f55fe7304df41570926f3311f15c4d65a732c483116ee3d3d2d0af3549ad9bf7cbfb78ad884f84d5beb04724dc7369b31def37d0cf539e9cfcdd3de653729ead5d1 - , private_p = 0xd32737e7267ffe1341b2d5c0d150a81b586fb3132bed2f8d5262864a9cb9f30af38be448598d413a172efb802c21acf1c11c520c2f26a471dcad212eac7ca39d - , private_q = 0xcc8853d1d54da630fac004f471f281c7b8982d8224a490edbeb33d3e3d5cc93c4765703d1dd791642f1f116a0dd852be2419b2af72bfe9a030e860b0288b5d77 - , private_dP = 0x0e12bf1718e9cef5599ba1c3882fe8046a90874eefce8f2ccc20e4f2741fb0a33a3848aec9c9305fbecbd2d76819967d4671acc6431e4037968db37878e695c1 - , private_dQ = 0x95297b0f95a2fa67d00707d609dfd4fc05c89dafc2ef6d6ea55bec771ea333734d9251e79082ecda866efef13c459e1a631386b7e354c899f5f112ca85d71583 - , private_qinv = 0x4f456c502493bdc0ed2ab756a3a6ed4d67352a697d4216e93212b127a63d5411ce6fa98d5dbefd73263e3728142743818166ed7dd63687dd2a8ca1d2f4fbd8e1 - } - - -data VectorOAEP = VectorOAEP { seed :: ByteString - , message :: ByteString - , cipherText :: ByteString - } -vectorInt = VectorOAEP - { message = "\xd4\x36\xe9\x95\x69\xfd\x32\xa7\xc8\xa0\x5b\xbc\x90\xd3\x2c\x49" - , seed = "\xaa\xfd\x12\xf6\x59\xca\xe6\x34\x89\xb4\x79\xe5\x07\x6d\xde\xc2\xf0\x6c\xb5\x8f" - , cipherText = "\x12\x53\xe0\x4d\xc0\xa5\x39\x7b\xb4\x4a\x7a\xb8\x7e\x9b\xf2\xa0\x39\xa3\x3d\x1e\x99\x6f\xc8\x2a\x94\xcc\xd3\x00\x74\xc9\x5d\xf7\x63\x72\x20\x17\x06\x9e\x52\x68\xda\x5d\x1c\x0b\x4f\x87\x2c\xf6\x53\xc1\x1d\xf8\x23\x14\xa6\x79\x68\xdf\xea\xe2\x8d\xef\x04\xbb\x6d\x84\xb1\xc3\x1d\x65\x4a\x19\x70\xe5\x78\x3b\xd6\xeb\x96\xa0\x24\xc2\xca\x2f\x4a\x90\xfe\x9f\x2e\xf5\xc9\xc1\x40\xe5\xbb\x48\xda\x95\x36\xad\x87\x00\xc8\x4f\xc9\x13\x0a\xde\xa7\x4e\x55\x8d\x51\xa7\x4d\xdf\x85\xd8\xb5\x0d\xe9\x68\x38\xd6\x06\x3e\x09\x55" - } - -vectorsKey1 = - [ VectorOAEP -- 1.1 - { message = "\x66\x28\x19\x4e\x12\x07\x3d\xb0\x3b\xa9\x4c\xda\x9e\xf9\x53\x23\x97\xd5\x0d\xba\x79\xb9\x87\x00\x4a\xfe\xfe\x34" - , seed = "\x18\xb7\x76\xea\x21\x06\x9d\x69\x77\x6a\x33\xe9\x6b\xad\x48\xe1\xdd\xa0\xa5\xef" - , cipherText = "\x35\x4f\xe6\x7b\x4a\x12\x6d\x5d\x35\xfe\x36\xc7\x77\x79\x1a\x3f\x7b\xa1\x3d\xef\x48\x4e\x2d\x39\x08\xaf\xf7\x22\xfa\xd4\x68\xfb\x21\x69\x6d\xe9\x5d\x0b\xe9\x11\xc2\xd3\x17\x4f\x8a\xfc\xc2\x01\x03\x5f\x7b\x6d\x8e\x69\x40\x2d\xe5\x45\x16\x18\xc2\x1a\x53\x5f\xa9\xd7\xbf\xc5\xb8\xdd\x9f\xc2\x43\xf8\xcf\x92\x7d\xb3\x13\x22\xd6\xe8\x81\xea\xa9\x1a\x99\x61\x70\xe6\x57\xa0\x5a\x26\x64\x26\xd9\x8c\x88\x00\x3f\x84\x77\xc1\x22\x70\x94\xa0\xd9\xfa\x1e\x8c\x40\x24\x30\x9c\xe1\xec\xcc\xb5\x21\x00\x35\xd4\x7a\xc7\x2e\x8a" - } - - , VectorOAEP -- 1.2 - { message = "\x75\x0c\x40\x47\xf5\x47\xe8\xe4\x14\x11\x85\x65\x23\x29\x8a\xc9\xba\xe2\x45\xef\xaf\x13\x97\xfb\xe5\x6f\x9d\xd5" - , seed = "\x0c\xc7\x42\xce\x4a\x9b\x7f\x32\xf9\x51\xbc\xb2\x51\xef\xd9\x25\xfe\x4f\xe3\x5f" - , cipherText = "\x64\x0d\xb1\xac\xc5\x8e\x05\x68\xfe\x54\x07\xe5\xf9\xb7\x01\xdf\xf8\xc3\xc9\x1e\x71\x6c\x53\x6f\xc7\xfc\xec\x6c\xb5\xb7\x1c\x11\x65\x98\x8d\x4a\x27\x9e\x15\x77\xd7\x30\xfc\x7a\x29\x93\x2e\x3f\x00\xc8\x15\x15\x23\x6d\x8d\x8e\x31\x01\x7a\x7a\x09\xdf\x43\x52\xd9\x04\xcd\xeb\x79\xaa\x58\x3a\xdc\xc3\x1e\xa6\x98\xa4\xc0\x52\x83\xda\xba\x90\x89\xbe\x54\x91\xf6\x7c\x1a\x4e\xe4\x8d\xc7\x4b\xbb\xe6\x64\x3a\xef\x84\x66\x79\xb4\xcb\x39\x5a\x35\x2d\x5e\xd1\x15\x91\x2d\xf6\x96\xff\xe0\x70\x29\x32\x94\x6d\x71\x49\x2b\x44" - } - , VectorOAEP -- 1.3 - { message = "\xd9\x4a\xe0\x83\x2e\x64\x45\xce\x42\x33\x1c\xb0\x6d\x53\x1a\x82\xb1\xdb\x4b\xaa\xd3\x0f\x74\x6d\xc9\x16\xdf\x24\xd4\xe3\xc2\x45\x1f\xff\x59\xa6\x42\x3e\xb0\xe1\xd0\x2d\x4f\xe6\x46\xcf\x69\x9d\xfd\x81\x8c\x6e\x97\xb0\x51" - , seed = "\x25\x14\xdf\x46\x95\x75\x5a\x67\xb2\x88\xea\xf4\x90\x5c\x36\xee\xc6\x6f\xd2\xfd" - , cipherText = "\x42\x37\x36\xed\x03\x5f\x60\x26\xaf\x27\x6c\x35\xc0\xb3\x74\x1b\x36\x5e\x5f\x76\xca\x09\x1b\x4e\x8c\x29\xe2\xf0\xbe\xfe\xe6\x03\x59\x5a\xa8\x32\x2d\x60\x2d\x2e\x62\x5e\x95\xeb\x81\xb2\xf1\xc9\x72\x4e\x82\x2e\xca\x76\xdb\x86\x18\xcf\x09\xc5\x34\x35\x03\xa4\x36\x08\x35\xb5\x90\x3b\xc6\x37\xe3\x87\x9f\xb0\x5e\x0e\xf3\x26\x85\xd5\xae\xc5\x06\x7c\xd7\xcc\x96\xfe\x4b\x26\x70\xb6\xea\xc3\x06\x6b\x1f\xcf\x56\x86\xb6\x85\x89\xaa\xfb\x7d\x62\x9b\x02\xd8\xf8\x62\x5c\xa3\x83\x36\x24\xd4\x80\x0f\xb0\x81\xb1\xcf\x94\xeb" - } - , VectorOAEP - { message = "\x52\xe6\x50\xd9\x8e\x7f\x2a\x04\x8b\x4f\x86\x85\x21\x53\xb9\x7e\x01\xdd\x31\x6f\x34\x6a\x19\xf6\x7a\x85" - , seed = "\xc4\x43\x5a\x3e\x1a\x18\xa6\x8b\x68\x20\x43\x62\x90\xa3\x7c\xef\xb8\x5d\xb3\xfb" - , cipherText = "\x45\xea\xd4\xca\x55\x1e\x66\x2c\x98\x00\xf1\xac\xa8\x28\x3b\x05\x25\xe6\xab\xae\x30\xbe\x4b\x4a\xba\x76\x2f\xa4\x0f\xd3\xd3\x8e\x22\xab\xef\xc6\x97\x94\xf6\xeb\xbb\xc0\x5d\xdb\xb1\x12\x16\x24\x7d\x2f\x41\x2f\xd0\xfb\xa8\x7c\x6e\x3a\xcd\x88\x88\x13\x64\x6f\xd0\xe4\x8e\x78\x52\x04\xf9\xc3\xf7\x3d\x6d\x82\x39\x56\x27\x22\xdd\xdd\x87\x71\xfe\xc4\x8b\x83\xa3\x1e\xe6\xf5\x92\xc4\xcf\xd4\xbc\x88\x17\x4f\x3b\x13\xa1\x12\xaa\xe3\xb9\xf7\xb8\x0e\x0f\xc6\xf7\x25\x5b\xa8\x80\xdc\x7d\x80\x21\xe2\x2a\xd6\xa8\x5f\x07\x55" - } - - , VectorOAEP - { message = "\x8d\xa8\x9f\xd9\xe5\xf9\x74\xa2\x9f\xef\xfb\x46\x2b\x49\x18\x0f\x6c\xf9\xe8\x02" - , seed = "\xb3\x18\xc4\x2d\xf3\xbe\x0f\x83\xfe\xa8\x23\xf5\xa7\xb4\x7e\xd5\xe4\x25\xa3\xb5" - , cipherText = "\x36\xf6\xe3\x4d\x94\xa8\xd3\x4d\xaa\xcb\xa3\x3a\x21\x39\xd0\x0a\xd8\x5a\x93\x45\xa8\x60\x51\xe7\x30\x71\x62\x00\x56\xb9\x20\xe2\x19\x00\x58\x55\xa2\x13\xa0\xf2\x38\x97\xcd\xcd\x73\x1b\x45\x25\x7c\x77\x7f\xe9\x08\x20\x2b\xef\xdd\x0b\x58\x38\x6b\x12\x44\xea\x0c\xf5\x39\xa0\x5d\x5d\x10\x32\x9d\xa4\x4e\x13\x03\x0f\xd7\x60\xdc\xd6\x44\xcf\xef\x20\x94\xd1\x91\x0d\x3f\x43\x3e\x1c\x7c\x6d\xd1\x8b\xc1\xf2\xdf\x7f\x64\x3d\x66\x2f\xb9\xdd\x37\xea\xd9\x05\x91\x90\xf4\xfa\x66\xca\x39\xe8\x69\xc4\xeb\x44\x9c\xbd\xc4\x39" - } - , VectorOAEP -- 1.6 - { message = "\x26\x52\x10\x50\x84\x42\x71" - , seed = "\xe4\xec\x09\x82\xc2\x33\x6f\x3a\x67\x7f\x6a\x35\x61\x74\xeb\x0c\xe8\x87\xab\xc2" - , cipherText = "\x42\xce\xe2\x61\x7b\x1e\xce\xa4\xdb\x3f\x48\x29\x38\x6f\xbd\x61\xda\xfb\xf0\x38\xe1\x80\xd8\x37\xc9\x63\x66\xdf\x24\xc0\x97\xb4\xab\x0f\xac\x6b\xdf\x59\x0d\x82\x1c\x9f\x10\x64\x2e\x68\x1a\xd0\x5b\x8d\x78\xb3\x78\xc0\xf4\x6c\xe2\xfa\xd6\x3f\x74\xe0\xad\x3d\xf0\x6b\x07\x5d\x7e\xb5\xf5\x63\x6f\x8d\x40\x3b\x90\x59\xca\x76\x1b\x5c\x62\xbb\x52\xaa\x45\x00\x2e\xa7\x0b\xaa\xce\x08\xde\xd2\x43\xb9\xd8\xcb\xd6\x2a\x68\xad\xe2\x65\x83\x2b\x56\x56\x4e\x43\xa6\xfa\x42\xed\x19\x9a\x09\x97\x69\x74\x2d\xf1\x53\x9e\x82\x55" - } - ] - -doEncryptionTest key i vec = testCase (show i) (Right (cipherText vec) @=? actual) - where actual = OAEP.encryptWithSeed (seed vec) (OAEP.defaultOAEPParams SHA1) key (message vec) - -doDecryptionTest key i vec = testCase (show i) (Right (message vec) @=? actual) - where actual = OAEP.decrypt Nothing (OAEP.defaultOAEPParams SHA1) key (cipherText vec) - -oaepTests = testGroup "RSA-OAEP" - [ testGroup "internal" - [ doEncryptionTest (private_pub rsaKeyInt) (0 :: Int) vectorInt - , doDecryptionTest rsaKeyInt (0 :: Int) vectorInt - ] - , testGroup "encryption key 1024 bits" $ zipWith (doEncryptionTest $ private_pub rsaKey1) [katZero..] vectorsKey1 - , testGroup "decryption key 1024 bits" $ zipWith (doDecryptionTest rsaKey1) [katZero..] vectorsKey1 - ] diff --git a/tests/KAT_PubKey/P256.hs b/tests/KAT_PubKey/P256.hs deleted file mode 100644 --- a/tests/KAT_PubKey/P256.hs +++ /dev/null @@ -1,188 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -{-# LANGUAGE ScopedTypeVariables #-} -module KAT_PubKey.P256 (tests) where - -import qualified Crypto.PubKey.ECC.Types as ECC -import qualified Crypto.PubKey.ECC.Prim as ECC -import qualified Crypto.PubKey.ECC.P256 as P256 - -import Data.ByteArray (Bytes) -import Crypto.Number.Serialize (i2ospOf, os2ip) -import Crypto.Number.ModArithmetic (inverseCoprimes) -import Crypto.Error - -import Imports - -newtype P256Scalar = P256Scalar Integer - deriving (Show,Eq,Ord) - -instance Arbitrary P256Scalar where - -- Cover the full range up to 2^256-1 except 0 and curveN. To test edge - -- cases with arithmetic functions, some values close to 0, curveN and - -- 2^256 are given higher frequency. - arbitrary = P256Scalar <$> oneof - [ choose (1, w) - , choose (w + 1, curveN - w - 1) - , choose (curveN - w, curveN - 1) - , choose (curveN + 1, curveN + w) - , choose (curveN + w + 1, high - w - 1) - , choose (high - w, high - 1) - ] - where high = 2^(256 :: Int) - w = 100 - -curve = ECC.getCurveByName ECC.SEC_p256r1 -curveN = ECC.ecc_n . ECC.common_curve $ curve -curveGen = ECC.ecc_g . ECC.common_curve $ curve - -pointP256ToECC :: P256.Point -> ECC.Point -pointP256ToECC = uncurry ECC.Point . P256.pointToIntegers - -i2ospScalar :: Integer -> Bytes -i2ospScalar i = - case i2ospOf 32 i of - Nothing -> error "invalid size of P256 scalar" - Just b -> b - -unP256Scalar :: P256Scalar -> P256.Scalar -unP256Scalar (P256Scalar r) = - let rBytes = i2ospScalar r - in case P256.scalarFromBinary rBytes of - CryptoFailed err -> error ("cannot convert scalar: " ++ show err) - CryptoPassed scalar -> scalar - -unP256 :: P256Scalar -> Integer -unP256 (P256Scalar r) = r - -modP256Scalar :: P256Scalar -> P256Scalar -modP256Scalar (P256Scalar r) = P256Scalar (r `mod` curveN) - -p256ScalarToInteger :: P256.Scalar -> Integer -p256ScalarToInteger s = os2ip (P256.scalarToBinary s :: Bytes) - -xS = 0xde2444bebc8d36e682edd27e0f271508617519b3221a8fa0b77cab3989da97c9 -yS = 0xc093ae7ff36e5380fc01a5aad1e66659702de80f53cec576b6350b243042a256 -xT = 0x55a8b00f8da1d44e62f6b3b25316212e39540dc861c89575bb8cf92e35e0986b -yT = 0x5421c3209c2d6c704835d82ac4c3dd90f61a8a52598b9e7ab656e9d8c8b24316 -xR = 0x72b13dd4354b6b81745195e98cc5ba6970349191ac476bd4553cf35a545a067e -yR = 0x8d585cbb2e1327d75241a8a122d7620dc33b13315aa5c9d46d013011744ac264 - -tests = testGroup "P256" - [ testGroup "scalar" - [ testProperty "marshalling" $ \(QAInteger r) -> - let rBytes = i2ospScalar r - in case P256.scalarFromBinary rBytes of - CryptoFailed err -> error (show err) - CryptoPassed scalar -> rBytes `propertyEq` P256.scalarToBinary scalar - , testProperty "add" $ \r1 r2 -> - let r = (unP256 r1 + unP256 r2) `mod` curveN - r' = P256.scalarAdd (unP256Scalar r1) (unP256Scalar r2) - in r `propertyEq` p256ScalarToInteger r' - , testProperty "add0" $ \r -> - let v = unP256 r `mod` curveN - v' = P256.scalarAdd (unP256Scalar r) P256.scalarZero - in v `propertyEq` p256ScalarToInteger v' - , testProperty "sub" $ \r1 r2 -> - let r = (unP256 r1 - unP256 r2) `mod` curveN - r' = P256.scalarSub (unP256Scalar r1) (unP256Scalar r2) - v = (unP256 r2 - unP256 r1) `mod` curveN - v' = P256.scalarSub (unP256Scalar r2) (unP256Scalar r1) - in propertyHold - [ eqTest "r1-r2" r (p256ScalarToInteger r') - , eqTest "r2-r1" v (p256ScalarToInteger v') - ] - , testProperty "sub0" $ \r -> - let v = unP256 r `mod` curveN - v' = P256.scalarSub (unP256Scalar r) P256.scalarZero - in v `propertyEq` p256ScalarToInteger v' - , testProperty "mul" $ \r1 r2 -> - let r = (unP256 r1 * unP256 r2) `mod` curveN - r' = P256.scalarMul (unP256Scalar r1) (unP256Scalar r2) - in r `propertyEq` p256ScalarToInteger r' - , testProperty "inv" $ \r' -> - let inv = inverseCoprimes (unP256 r') curveN - inv' = P256.scalarInv (unP256Scalar r') - in unP256 r' /= 0 ==> inv `propertyEq` p256ScalarToInteger inv' - , testProperty "inv-safe" $ \r' -> - let inv = P256.scalarInv (unP256Scalar r') - inv' = P256.scalarInvSafe (unP256Scalar r') - in unP256 r' /= 0 ==> inv `propertyEq` inv' - , testProperty "inv-safe-mul" $ \r' -> - let inv = P256.scalarInvSafe (unP256Scalar r') - res = P256.scalarMul (unP256Scalar r') inv - in unP256 r' /= 0 ==> 1 `propertyEq` p256ScalarToInteger res - , testProperty "inv-safe-zero" $ - let inv0 = P256.scalarInvSafe P256.scalarZero - invN = P256.scalarInvSafe P256.scalarN - in propertyHold [ eqTest "scalarZero" P256.scalarZero inv0 - , eqTest "scalarN" P256.scalarZero invN - ] - ] - , testGroup "point" - [ testProperty "marshalling" $ \rx ry -> - let p = P256.pointFromIntegers (unP256 rx, unP256 ry) - b = P256.pointToBinary p :: Bytes - p' = P256.unsafePointFromBinary b - in propertyHold [ eqTest "point" (CryptoPassed p) p' ] - , testProperty "marshalling-integer" $ \rx ry -> - let p = P256.pointFromIntegers (unP256 rx, unP256 ry) - (x,y) = P256.pointToIntegers p - in propertyHold [ eqTest "x" (unP256 rx) x, eqTest "y" (unP256 ry) y ] - , testCase "valid-point-1" $ casePointIsValid (xS,yS) - , testCase "valid-point-2" $ casePointIsValid (xR,yR) - , testCase "valid-point-3" $ casePointIsValid (xT,yT) - , testCase "point-add-1" $ - let s = P256.pointFromIntegers (xS, yS) - t = P256.pointFromIntegers (xT, yT) - r = P256.pointFromIntegers (xR, yR) - in r @=? P256.pointAdd s t - , testProperty "lift-to-curve" propertyLiftToCurve - , testProperty "point-add" propertyPointAdd - , testProperty "point-negate" propertyPointNegate - , testProperty "point-mul" propertyPointMul - , testProperty "infinity" $ - let gN = P256.toPoint P256.scalarN - g1 = P256.pointBase - in propertyHold [ eqTest "zero" True (P256.pointIsAtInfinity gN) - , eqTest "base" False (P256.pointIsAtInfinity g1) - ] - ] - ] - where - casePointIsValid pointTuple = - let s = P256.pointFromIntegers pointTuple in True @=? P256.pointIsValid s - - propertyLiftToCurve r = - let p = P256.toPoint (unP256Scalar r) - (x,y) = P256.pointToIntegers p - pEcc = ECC.pointMul curve (unP256 r) curveGen - in pEcc `propertyEq` ECC.Point x y - - propertyPointAdd r1 r2 = - let p1 = P256.toPoint (unP256Scalar r1) - p2 = P256.toPoint (unP256Scalar r2) - pe1 = ECC.pointMul curve (unP256 r1) curveGen - pe2 = ECC.pointMul curve (unP256 r2) curveGen - pR = P256.toPoint (P256.scalarAdd (unP256Scalar r1) (unP256Scalar r2)) - peR = ECC.pointAdd curve pe1 pe2 - in (unP256 r1 + unP256 r2) `mod` curveN /= 0 ==> - propertyHold [ eqTest "p256" pR (P256.pointAdd p1 p2) - , eqTest "ecc" peR (pointP256ToECC pR) - ] - - propertyPointNegate r = - let p = P256.toPoint (unP256Scalar r) - pe = ECC.pointMul curve (unP256 r) curveGen - pR = P256.pointNegate p - in ECC.pointNegate curve pe `propertyEq` pointP256ToECC pR - - propertyPointMul s' r' = - let s = modP256Scalar s' - r = modP256Scalar r' - p = P256.toPoint (unP256Scalar r) - pe = ECC.pointMul curve (unP256 r) curveGen - pR = P256.toPoint (P256.scalarMul (unP256Scalar s) (unP256Scalar r)) - peR = ECC.pointMul curve (unP256 s) pe - in propertyHold [ eqTest "p256" pR (P256.pointMul (unP256Scalar s) p) - , eqTest "ecc" peR (pointP256ToECC pR) - ] diff --git a/tests/KAT_PubKey/PSS.hs b/tests/KAT_PubKey/PSS.hs deleted file mode 100644 --- a/tests/KAT_PubKey/PSS.hs +++ /dev/null @@ -1,348 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_PubKey.PSS (pssTests) where - -import Crypto.PubKey.RSA -import qualified Crypto.PubKey.RSA.PSS as PSS - -import Imports - --- Module contains one vector generated by the implementation itself and other --- vectors from - -data VectorPSS = VectorPSS { message :: ByteString - , salt :: ByteString - , signature :: ByteString - } - -rsaKeyInt = PrivateKey - { private_pub = PublicKey - { public_n = 0xa2ba40ee07e3b2bd2f02ce227f36a195024486e49c19cb41bbbdfbba98b22b0e577c2eeaffa20d883a76e65e394c69d4b3c05a1e8fadda27edb2a42bc000fe888b9b32c22d15add0cd76b3e7936e19955b220dd17d4ea904b1ec102b2e4de7751222aa99151024c7cb41cc5ea21d00eeb41f7c800834d2c6e06bce3bce7ea9a5 - , public_e = 0x010001 - , public_size = 128 - } - , private_d = 0x50e2c3e38d886110288dfc68a9533e7e12e27d2aa56d2cdb3fb6efa990bcff29e1d2987fb711962860e7391b1ce01ebadb9e812d2fbdfaf25df4ae26110a6d7a26f0b810f54875e17dd5c9fb6d641761245b81e79f8c88f0e55a6dcd5f133abd35f8f4ec80adf1bf86277a582894cb6ebcd2162f1c7534f1f4947b129151b71 - , private_p = 0xd17f655bf27c8b16d35462c905cc04a26f37e2a67fa9c0ce0dced472394a0df743fe7f929e378efdb368eddff453cf007af6d948e0ade757371f8a711e278f6b - , private_q = 0xc6d92b6fee7414d1358ce1546fb62987530b90bd15e0f14963a5e2635adb69347ec0c01b2ab1763fd8ac1a592fb22757463a982425bb97a3a437c5bf86d03f2f - , private_dP = 0x9d0dbf83e5ce9e4b1754dcd5cd05bcb7b55f1508330ea49f14d4e889550f8256cb5f806dff34b17ada44208853577d08e4262890acf752461cea05547601bc4f - , private_dQ = 0x1291a524c6b7c059e90e46dc83b2171eb3fa98818fd179b6c8bf6cecaa476303abf283fe05769cfc495788fe5b1ddfde9e884a3cd5e936b7e955ebf97eb563b1 - , private_qinv = 0xa63f1da38b950c9ad1c67ce0d677ec2914cd7d40062df42a67eb198a176f9742aac7c5fea14f2297662b84812c4defc49a8025ab4382286be4c03788dd01d69f - } - -rsaKey1 = PrivateKey - { private_pub = PublicKey - { public_n = 0xa56e4a0e701017589a5187dc7ea841d156f2ec0e36ad52a44dfeb1e61f7ad991d8c51056ffedb162b4c0f283a12a88a394dff526ab7291cbb307ceabfce0b1dfd5cd9508096d5b2b8b6df5d671ef6377c0921cb23c270a70e2598e6ff89d19f105acc2d3f0cb35f29280e1386b6f64c4ef22e1e1f20d0ce8cffb2249bd9a2137 - , public_e = 0x010001 - , public_size = 128 - } - , private_d = 0x33a5042a90b27d4f5451ca9bbbd0b44771a101af884340aef9885f2a4bbe92e894a724ac3c568c8f97853ad07c0266c8c6a3ca0929f1e8f11231884429fc4d9ae55fee896a10ce707c3ed7e734e44727a39574501a532683109c2abacaba283c31b4bd2f53c3ee37e352cee34f9e503bd80c0622ad79c6dcee883547c6a3b325 - , private_p = 0xe7e8942720a877517273a356053ea2a1bc0c94aa72d55c6e86296b2dfc967948c0a72cbccca7eacb35706e09a1df55a1535bd9b3cc34160b3b6dcd3eda8e6443 - , private_q = 0xb69dca1cf7d4d7ec81e75b90fcca874abcde123fd2700180aa90479b6e48de8d67ed24f9f19d85ba275874f542cd20dc723e6963364a1f9425452b269a6799fd - , private_dP = 0x28fa13938655be1f8a159cbaca5a72ea190c30089e19cd274a556f36c4f6e19f554b34c077790427bbdd8dd3ede2448328f385d81b30e8e43b2fffa027861979 - , private_dQ = 0x1a8b38f398fa712049898d7fb79ee0a77668791299cdfa09efc0e507acb21ed74301ef5bfd48be455eaeb6e1678255827580a8e4e8e14151d1510a82a3f2e729 - , private_qinv = 0x27156aba4126d24a81f3a528cbfb27f56886f840a9f6e86e17a44b94fe9319584b8e22fdde1e5a2e3bd8aa5ba8d8584194eb2190acf832b847f13a3d24a79f4d - } - -vectorInt = VectorPSS - { message = "\x85\x9e\xef\x2f\xd7\x8a\xca\x00\x30\x8b\xdc\x47\x11\x93\xbf\x55\xbf\x9d\x78\xdb\x8f\x8a\x67\x2b\x48\x46\x34\xf3\xc9\xc2\x6e\x64\x78\xae\x10\x26\x0f\xe0\xdd\x8c\x08\x2e\x53\xa5\x29\x3a\xf2\x17\x3c\xd5\x0c\x6d\x5d\x35\x4f\xeb\xf7\x8b\x26\x02\x1c\x25\xc0\x27\x12\xe7\x8c\xd4\x69\x4c\x9f\x46\x97\x77\xe4\x51\xe7\xf8\xe9\xe0\x4c\xd3\x73\x9c\x6b\xbf\xed\xae\x48\x7f\xb5\x56\x44\xe9\xca\x74\xff\x77\xa5\x3c\xb7\x29\x80\x2f\x6e\xd4\xa5\xff\xa8\xba\x15\x98\x90\xfc" - , salt = "\xe3\xb5\xd5\xd0\x02\xc1\xbc\xe5\x0c\x2b\x65\xef\x88\xa1\x88\xd8\x3b\xce\x7e\x61" - , signature = "\x8d\xaa\x62\x7d\x3d\xe7\x59\x5d\x63\x05\x6c\x7e\xc6\x59\xe5\x44\x06\xf1\x06\x10\x12\x8b\xaa\xe8\x21\xc8\xb2\xa0\xf3\x93\x6d\x54\xdc\x3b\xdc\xe4\x66\x89\xf6\xb7\x95\x1b\xb1\x8e\x84\x05\x42\x76\x97\x18\xd5\x71\x5d\x21\x0d\x85\xef\xbb\x59\x61\x92\x03\x2c\x42\xbe\x4c\x29\x97\x2c\x85\x62\x75\xeb\x6d\x5a\x45\xf0\x5f\x51\x87\x6f\xc6\x74\x3d\xed\xdd\x28\xca\xec\x9b\xb3\x0e\xa9\x9e\x02\xc3\x48\x82\x69\x60\x4f\xe4\x97\xf7\x4c\xcd\x7c\x7f\xca\x16\x71\x89\x71\x23\xcb\xd3\x0d\xef\x5d\x54\xa2\xb5\x53\x6a\xd9\x0a\x74\x7e" - } - -{- -# mHash = Hash(M) -# salt = random string of octets -# M' = Padding || mHash || salt -# H = Hash(M') -# DB = Padding || salt -# dbMask = MGF(H, length(DB)) -# maskedDB = DB xor dbMask (leftmost bit set to -# zero) -# EM = maskedDB || H || 0xbc - -# mHash: -37 b6 6a e0 44 58 43 35 3d 47 ec b0 b4 fd 14 c1 -10 e6 2d 6a - -# salt: - -# M': -00 00 00 00 00 00 00 00 37 b6 6a e0 44 58 43 35 -3d 47 ec b0 b4 fd 14 c1 10 e6 2d 6a e3 b5 d5 d0 -02 c1 bc e5 0c 2b 65 ef 88 a1 88 d8 3b ce 7e 61 - -# H: -df 1a 89 6f 9d 8b c8 16 d9 7c d7 a2 c4 3b ad 54 -6f be 8c fe - -# DB: -00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 -00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 -00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 -00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 -00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 -00 00 00 00 00 00 01 e3 b5 d5 d0 02 c1 bc e5 0c -2b 65 ef 88 a1 88 d8 3b ce 7e 61 - -# dbMask: -66 e4 67 2e 83 6a d1 21 ba 24 4b ed 65 76 b8 67 -d9 a4 47 c2 8a 6e 66 a5 b8 7d ee 7f bc 7e 65 af -50 57 f8 6f ae 89 84 d9 ba 7f 96 9a d6 fe 02 a4 -d7 5f 74 45 fe fd d8 5b 6d 3a 47 7c 28 d2 4b a1 -e3 75 6f 79 2d d1 dc e8 ca 94 44 0e cb 52 79 ec -d3 18 3a 31 1f c8 97 39 a9 66 43 13 6e 8b 0f 46 -5e 87 a4 53 5c d4 c5 9b 10 02 8d - -# maskedDB: -66 e4 67 2e 83 6a d1 21 ba 24 4b ed 65 76 b8 67 -d9 a4 47 c2 8a 6e 66 a5 b8 7d ee 7f bc 7e 65 af -50 57 f8 6f ae 89 84 d9 ba 7f 96 9a d6 fe 02 a4 -d7 5f 74 45 fe fd d8 5b 6d 3a 47 7c 28 d2 4b a1 -e3 75 6f 79 2d d1 dc e8 ca 94 44 0e cb 52 79 ec -d3 18 3a 31 1f c8 96 da 1c b3 93 11 af 37 ea 4a -75 e2 4b db fd 5c 1d a0 de 7c ec - -# Encoded message EM: -66 e4 67 2e 83 6a d1 21 ba 24 4b ed 65 76 b8 67 -d9 a4 47 c2 8a 6e 66 a5 b8 7d ee 7f bc 7e 65 af -50 57 f8 6f ae 89 84 d9 ba 7f 96 9a d6 fe 02 a4 -d7 5f 74 45 fe fd d8 5b 6d 3a 47 7c 28 d2 4b a1 -e3 75 6f 79 2d d1 dc e8 ca 94 44 0e cb 52 79 ec -d3 18 3a 31 1f c8 96 da 1c b3 93 11 af 37 ea 4a -75 e2 4b db fd 5c 1d a0 de 7c ec df 1a 89 6f 9d -8b c8 16 d9 7c d7 a2 c4 3b ad 54 6f be 8c fe bc --} - -vectorsKey1 = - [ - -- Example 1.1 - VectorPSS - { message = "\xcd\xc8\x7d\xa2\x23\xd7\x86\xdf\x3b\x45\xe0\xbb\xbc\x72\x13\x26\xd1\xee\x2a\xf8\x06\xcc\x31\x54\x75\xcc\x6f\x0d\x9c\x66\xe1\xb6\x23\x71\xd4\x5c\xe2\x39\x2e\x1a\xc9\x28\x44\xc3\x10\x10\x2f\x15\x6a\x0d\x8d\x52\xc1\xf4\xc4\x0b\xa3\xaa\x65\x09\x57\x86\xcb\x76\x97\x57\xa6\x56\x3b\xa9\x58\xfe\xd0\xbc\xc9\x84\xe8\xb5\x17\xa3\xd5\xf5\x15\xb2\x3b\x8a\x41\xe7\x4a\xa8\x67\x69\x3f\x90\xdf\xb0\x61\xa6\xe8\x6d\xfa\xae\xe6\x44\x72\xc0\x0e\x5f\x20\x94\x57\x29\xcb\xeb\xe7\x7f\x06\xce\x78\xe0\x8f\x40\x98\xfb\xa4\x1f\x9d\x61\x93\xc0\x31\x7e\x8b\x60\xd4\xb6\x08\x4a\xcb\x42\xd2\x9e\x38\x08\xa3\xbc\x37\x2d\x85\xe3\x31\x17\x0f\xcb\xf7\xcc\x72\xd0\xb7\x1c\x29\x66\x48\xb3\xa4\xd1\x0f\x41\x62\x95\xd0\x80\x7a\xa6\x25\xca\xb2\x74\x4f\xd9\xea\x8f\xd2\x23\xc4\x25\x37\x02\x98\x28\xbd\x16\xbe\x02\x54\x6f\x13\x0f\xd2\xe3\x3b\x93\x6d\x26\x76\xe0\x8a\xed\x1b\x73\x31\x8b\x75\x0a\x01\x67\xd0" - , salt = "\xde\xe9\x59\xc7\xe0\x64\x11\x36\x14\x20\xff\x80\x18\x5e\xd5\x7f\x3e\x67\x76\xaf" - , signature = "\x90\x74\x30\x8f\xb5\x98\xe9\x70\x1b\x22\x94\x38\x8e\x52\xf9\x71\xfa\xac\x2b\x60\xa5\x14\x5a\xf1\x85\xdf\x52\x87\xb5\xed\x28\x87\xe5\x7c\xe7\xfd\x44\xdc\x86\x34\xe4\x07\xc8\xe0\xe4\x36\x0b\xc2\x26\xf3\xec\x22\x7f\x9d\x9e\x54\x63\x8e\x8d\x31\xf5\x05\x12\x15\xdf\x6e\xbb\x9c\x2f\x95\x79\xaa\x77\x59\x8a\x38\xf9\x14\xb5\xb9\xc1\xbd\x83\xc4\xe2\xf9\xf3\x82\xa0\xd0\xaa\x35\x42\xff\xee\x65\x98\x4a\x60\x1b\xc6\x9e\xb2\x8d\xeb\x27\xdc\xa1\x2c\x82\xc2\xd4\xc3\xf6\x6c\xd5\x00\xf1\xff\x2b\x99\x4d\x8a\x4e\x30\xcb\xb3\x3c" - } - -- Example 1.2 - , VectorPSS - { message = "\x85\x13\x84\xcd\xfe\x81\x9c\x22\xed\x6c\x4c\xcb\x30\xda\xeb\x5c\xf0\x59\xbc\x8e\x11\x66\xb7\xe3\x53\x0c\x4c\x23\x3e\x2b\x5f\x8f\x71\xa1\xcc\xa5\x82\xd4\x3e\xcc\x72\xb1\xbc\xa1\x6d\xfc\x70\x13\x22\x6b\x9e" - , salt = "\xef\x28\x69\xfa\x40\xc3\x46\xcb\x18\x3d\xab\x3d\x7b\xff\xc9\x8f\xd5\x6d\xf4\x2d" - , signature = "\x3e\xf7\xf4\x6e\x83\x1b\xf9\x2b\x32\x27\x41\x42\xa5\x85\xff\xce\xfb\xdc\xa7\xb3\x2a\xe9\x0d\x10\xfb\x0f\x0c\x72\x99\x84\xf0\x4e\xf2\x9a\x9d\xf0\x78\x07\x75\xce\x43\x73\x9b\x97\x83\x83\x90\xdb\x0a\x55\x05\xe6\x3d\xe9\x27\x02\x8d\x9d\x29\xb2\x19\xca\x2c\x45\x17\x83\x25\x58\xa5\x5d\x69\x4a\x6d\x25\xb9\xda\xb6\x60\x03\xc4\xcc\xcd\x90\x78\x02\x19\x3b\xe5\x17\x0d\x26\x14\x7d\x37\xb9\x35\x90\x24\x1b\xe5\x1c\x25\x05\x5f\x47\xef\x62\x75\x2c\xfb\xe2\x14\x18\xfa\xfe\x98\xc2\x2c\x4d\x4d\x47\x72\x4f\xdb\x56\x69\xe8\x43" - } - -- Example 1.3 - , VectorPSS - { message = "\xa4\xb1\x59\x94\x17\x61\xc4\x0c\x6a\x82\xf2\xb8\x0d\x1b\x94\xf5\xaa\x26\x54\xfd\x17\xe1\x2d\x58\x88\x64\x67\x9b\x54\xcd\x04\xef\x8b\xd0\x30\x12\xbe\x8d\xc3\x7f\x4b\x83\xaf\x79\x63\xfa\xff\x0d\xfa\x22\x54\x77\x43\x7c\x48\x01\x7f\xf2\xbe\x81\x91\xcf\x39\x55\xfc\x07\x35\x6e\xab\x3f\x32\x2f\x7f\x62\x0e\x21\xd2\x54\xe5\xdb\x43\x24\x27\x9f\xe0\x67\xe0\x91\x0e\x2e\x81\xca\x2c\xab\x31\xc7\x45\xe6\x7a\x54\x05\x8e\xb5\x0d\x99\x3c\xdb\x9e\xd0\xb4\xd0\x29\xc0\x6d\x21\xa9\x4c\xa6\x61\xc3\xce\x27\xfa\xe1\xd6\xcb\x20\xf4\x56\x4d\x66\xce\x47\x67\x58\x3d\x0e\x5f\x06\x02\x15\xb5\x90\x17\xbe\x85\xea\x84\x89\x39\x12\x7b\xd8\xc9\xc4\xd4\x7b\x51\x05\x6c\x03\x1c\xf3\x36\xf1\x7c\x99\x80\xf3\xb8\xf5\xb9\xb6\x87\x8e\x8b\x79\x7a\xa4\x3b\x88\x26\x84\x33\x3e\x17\x89\x3f\xe9\xca\xa6\xaa\x29\x9f\x7e\xd1\xa1\x8e\xe2\xc5\x48\x64\xb7\xb2\xb9\x9b\x72\x61\x8f\xb0\x25\x74\xd1\x39\xef\x50\xf0\x19\xc9\xee\xf4\x16\x97\x13\x38\xe7\xd4\x70" - , salt = "\x71\x0b\x9c\x47\x47\xd8\x00\xd4\xde\x87\xf1\x2a\xfd\xce\x6d\xf1\x81\x07\xcc\x77" - , signature = "\x66\x60\x26\xfb\xa7\x1b\xd3\xe7\xcf\x13\x15\x7c\xc2\xc5\x1a\x8e\x4a\xa6\x84\xaf\x97\x78\xf9\x18\x49\xf3\x43\x35\xd1\x41\xc0\x01\x54\xc4\x19\x76\x21\xf9\x62\x4a\x67\x5b\x5a\xbc\x22\xee\x7d\x5b\xaa\xff\xaa\xe1\xc9\xba\xca\x2c\xc3\x73\xb3\xf3\x3e\x78\xe6\x14\x3c\x39\x5a\x91\xaa\x7f\xac\xa6\x64\xeb\x73\x3a\xfd\x14\xd8\x82\x72\x59\xd9\x9a\x75\x50\xfa\xca\x50\x1e\xf2\xb0\x4e\x33\xc2\x3a\xa5\x1f\x4b\x9e\x82\x82\xef\xdb\x72\x8c\xc0\xab\x09\x40\x5a\x91\x60\x7c\x63\x69\x96\x1b\xc8\x27\x0d\x2d\x4f\x39\xfc\xe6\x12\xb1" - } - -- Example 1.4 - , VectorPSS - { message = "\xbc\x65\x67\x47\xfa\x9e\xaf\xb3\xf0" - , salt = "\x05\x6f\x00\x98\x5d\xe1\x4d\x8e\xf5\xce\xa9\xe8\x2f\x8c\x27\xbe\xf7\x20\x33\x5e" - , signature = "\x46\x09\x79\x3b\x23\xe9\xd0\x93\x62\xdc\x21\xbb\x47\xda\x0b\x4f\x3a\x76\x22\x64\x9a\x47\xd4\x64\x01\x9b\x9a\xea\xfe\x53\x35\x9c\x17\x8c\x91\xcd\x58\xba\x6b\xcb\x78\xbe\x03\x46\xa7\xbc\x63\x7f\x4b\x87\x3d\x4b\xab\x38\xee\x66\x1f\x19\x96\x34\xc5\x47\xa1\xad\x84\x42\xe0\x3d\xa0\x15\xb1\x36\xe5\x43\xf7\xab\x07\xc0\xc1\x3e\x42\x25\xb8\xde\x8c\xce\x25\xd4\xf6\xeb\x84\x00\xf8\x1f\x7e\x18\x33\xb7\xee\x6e\x33\x4d\x37\x09\x64\xca\x79\xfd\xb8\x72\xb4\xd7\x52\x23\xb5\xee\xb0\x81\x01\x59\x1f\xb5\x32\xd1\x55\xa6\xde\x87" - } - -- Example 1.5 - , VectorPSS - { message = "\xb4\x55\x81\x54\x7e\x54\x27\x77\x0c\x76\x8e\x8b\x82\xb7\x55\x64\xe0\xea\x4e\x9c\x32\x59\x4d\x6b\xff\x70\x65\x44\xde\x0a\x87\x76\xc7\xa8\x0b\x45\x76\x55\x0e\xee\x1b\x2a\xca\xbc\x7e\x8b\x7d\x3e\xf7\xbb\x5b\x03\xe4\x62\xc1\x10\x47\xea\xdd\x00\x62\x9a\xe5\x75\x48\x0a\xc1\x47\x0f\xe0\x46\xf1\x3a\x2b\xf5\xaf\x17\x92\x1d\xc4\xb0\xaa\x8b\x02\xbe\xe6\x33\x49\x11\x65\x1d\x7f\x85\x25\xd1\x0f\x32\xb5\x1d\x33\xbe\x52\x0d\x3d\xdf\x5a\x70\x99\x55\xa3\xdf\xe7\x82\x83\xb9\xe0\xab\x54\x04\x6d\x15\x0c\x17\x7f\x03\x7f\xdc\xcc\x5b\xe4\xea\x5f\x68\xb5\xe5\xa3\x8c\x9d\x7e\xdc\xcc\xc4\x97\x5f\x45\x5a\x69\x09\xb4" - , salt = "\x80\xe7\x0f\xf8\x6a\x08\xde\x3e\xc6\x09\x72\xb3\x9b\x4f\xbf\xdc\xea\x67\xae\x8e" - , signature = "\x1d\x2a\xad\x22\x1c\xa4\xd3\x1d\xdf\x13\x50\x92\x39\x01\x93\x98\xe3\xd1\x4b\x32\xdc\x34\xdc\x5a\xf4\xae\xae\xa3\xc0\x95\xaf\x73\x47\x9c\xf0\xa4\x5e\x56\x29\x63\x5a\x53\xa0\x18\x37\x76\x15\xb1\x6c\xb9\xb1\x3b\x3e\x09\xd6\x71\xeb\x71\xe3\x87\xb8\x54\x5c\x59\x60\xda\x5a\x64\x77\x6e\x76\x8e\x82\xb2\xc9\x35\x83\xbf\x10\x4c\x3f\xdb\x23\x51\x2b\x7b\x4e\x89\xf6\x33\xdd\x00\x63\xa5\x30\xdb\x45\x24\xb0\x1c\x3f\x38\x4c\x09\x31\x0e\x31\x5a\x79\xdc\xd3\xd6\x84\x02\x2a\x7f\x31\xc8\x65\xa6\x64\xe3\x16\x97\x8b\x75\x9f\xad" - } - -- Example 1.6 - , VectorPSS - { message = "\x10\xaa\xe9\xa0\xab\x0b\x59\x5d\x08\x41\x20\x7b\x70\x0d\x48\xd7\x5f\xae\xdd\xe3\xb7\x75\xcd\x6b\x4c\xc8\x8a\xe0\x6e\x46\x94\xec\x74\xba\x18\xf8\x52\x0d\x4f\x5e\xa6\x9c\xbb\xe7\xcc\x2b\xeb\xa4\x3e\xfd\xc1\x02\x15\xac\x4e\xb3\x2d\xc3\x02\xa1\xf5\x3d\xc6\xc4\x35\x22\x67\xe7\x93\x6c\xfe\xbf\x7c\x8d\x67\x03\x57\x84\xa3\x90\x9f\xa8\x59\xc7\xb7\xb5\x9b\x8e\x39\xc5\xc2\x34\x9f\x18\x86\xb7\x05\xa3\x02\x67\xd4\x02\xf7\x48\x6a\xb4\xf5\x8c\xad\x5d\x69\xad\xb1\x7a\xb8\xcd\x0c\xe1\xca\xf5\x02\x5a\xf4\xae\x24\xb1\xfb\x87\x94\xc6\x07\x0c\xc0\x9a\x51\xe2\xf9\x91\x13\x11\xe3\x87\x7d\x00\x44\xc7\x1c\x57\xa9\x93\x39\x50\x08\x80\x6b\x72\x3a\xc3\x83\x73\xd3\x95\x48\x18\x18\x52\x8c\x1e\x70\x53\x73\x92\x82\x05\x35\x29\x51\x0e\x93\x5c\xd0\xfa\x77\xb8\xfa\x53\xcc\x2d\x47\x4b\xd4\xfb\x3c\xc5\xc6\x72\xd6\xff\xdc\x90\xa0\x0f\x98\x48\x71\x2c\x4b\xcf\xe4\x6c\x60\x57\x36\x59\xb1\x1e\x64\x57\xe8\x61\xf0\xf6\x04\xb6\x13\x8d\x14\x4f\x8c\xe4\xe2\xda\x73" - , salt = "\xa8\xab\x69\xdd\x80\x1f\x00\x74\xc2\xa1\xfc\x60\x64\x98\x36\xc6\x16\xd9\x96\x81" - , signature = "\x2a\x34\xf6\x12\x5e\x1f\x6b\x0b\xf9\x71\xe8\x4f\xbd\x41\xc6\x32\xbe\x8f\x2c\x2a\xce\x7d\xe8\xb6\x92\x6e\x31\xff\x93\xe9\xaf\x98\x7f\xbc\x06\xe5\x1e\x9b\xe1\x4f\x51\x98\xf9\x1f\x3f\x95\x3b\xd6\x7d\xa6\x0a\x9d\xf5\x97\x64\xc3\xdc\x0f\xe0\x8e\x1c\xbe\xf0\xb7\x5f\x86\x8d\x10\xad\x3f\xba\x74\x9f\xef\x59\xfb\x6d\xac\x46\xa0\xd6\xe5\x04\x36\x93\x31\x58\x6f\x58\xe4\x62\x8f\x39\xaa\x27\x89\x82\x54\x3b\xc0\xee\xb5\x37\xdc\x61\x95\x80\x19\xb3\x94\xfb\x27\x3f\x21\x58\x58\xa0\xa0\x1a\xc4\xd6\x50\xb9\x55\xc6\x7f\x4c\x58" - } - ] - --- ================================== --- Example 2: A 1025-bit RSA Key Pair --- ================================== - -rsaKey2 = PrivateKey - { private_pub = PublicKey - { public_n = 0x01d40c1bcf97a68ae7cdbd8a7bf3e34fa19dcca4ef75a47454375f94514d88fed006fb829f8419ff87d6315da68a1ff3a0938e9abb3464011c303ad99199cf0c7c7a8b477dce829e8844f625b115e5e9c4a59cf8f8113b6834336a2fd2689b472cbb5e5cabe674350c59b6c17e176874fb42f8fc3d176a017edc61fd326c4b33c9 - , public_e = 0x010001 - , public_size = 129 - } - , private_d = 0x027d147e4673057377fd1ea201565772176a7dc38358d376045685a2e787c23c15576bc16b9f444402d6bfc5d98a3e88ea13ef67c353eca0c0ddba9255bd7b8bb50a644afdfd1dd51695b252d22e7318d1b6687a1c10ff75545f3db0fe602d5f2b7f294e3601eab7b9d1cecd767f64692e3e536ca2846cb0c2dd486a39fa75b1 - , private_p = 0x016601e926a0f8c9e26ecab769ea65a5e7c52cc9e080ef519457c644da6891c5a104d3ea7955929a22e7c68a7af9fcad777c3ccc2b9e3d3650bce404399b7e59d1 - , private_q = 0x014eafa1d4d0184da7e31f877d1281ddda625664869e8379e67ad3b75eae74a580e9827abd6eb7a002cb5411f5266797768fb8e95ae40e3e8a01f35ff89e56c079 - , private_dP = 0xe247cce504939b8f0a36090de200938755e2444b29539a7da7a902f6056835c0db7b52559497cfe2c61a8086d0213c472c78851800b171f6401de2e9c2756f31 - , private_dQ = 0xb12fba757855e586e46f64c38a70c68b3f548d93d787b399999d4c8f0bbd2581c21e19ed0018a6d5d3df86424b3abcad40199d31495b61309f27c1bf55d487c1 - , private_qinv = 0x564b1e1fa003bda91e89090425aac05b91da9ee25061e7628d5f51304a84992fdc33762bd378a59f030a334d532bd0dae8f298ea9ed844636ad5fb8cbdc03cad - } - -vectorsKey2 = - [ - -- Example 2.1 - VectorPSS - { message = "\xda\xba\x03\x20\x66\x26\x3f\xae\xdb\x65\x98\x48\x11\x52\x78\xa5\x2c\x44\xfa\xa3\xa7\x6f\x37\x51\x5e\xd3\x36\x32\x10\x72\xc4\x0a\x9d\x9b\x53\xbc\x05\x01\x40\x78\xad\xf5\x20\x87\x51\x46\xaa\xe7\x0f\xf0\x60\x22\x6d\xcb\x7b\x1f\x1f\xc2\x7e\x93\x60" - , salt = "\x57\xbf\x16\x0b\xcb\x02\xbb\x1d\xc7\x28\x0c\xf0\x45\x85\x30\xb7\xd2\x83\x2f\xf7" - , signature = "\x01\x4c\x5b\xa5\x33\x83\x28\xcc\xc6\xe7\xa9\x0b\xf1\xc0\xab\x3f\xd6\x06\xff\x47\x96\xd3\xc1\x2e\x4b\x63\x9e\xd9\x13\x6a\x5f\xec\x6c\x16\xd8\x88\x4b\xdd\x99\xcf\xdc\x52\x14\x56\xb0\x74\x2b\x73\x68\x68\xcf\x90\xde\x09\x9a\xdb\x8d\x5f\xfd\x1d\xef\xf3\x9b\xa4\x00\x7a\xb7\x46\xce\xfd\xb2\x2d\x7d\xf0\xe2\x25\xf5\x46\x27\xdc\x65\x46\x61\x31\x72\x1b\x90\xaf\x44\x53\x63\xa8\x35\x8b\x9f\x60\x76\x42\xf7\x8f\xab\x0a\xb0\xf4\x3b\x71\x68\xd6\x4b\xae\x70\xd8\x82\x78\x48\xd8\xef\x1e\x42\x1c\x57\x54\xdd\xf4\x2c\x25\x89\xb5\xb3" - } - -- Example 2.2 - , VectorPSS - { message = "\xe4\xf8\x60\x1a\x8a\x6d\xa1\xbe\x34\x44\x7c\x09\x59\xc0\x58\x57\x0c\x36\x68\xcf\xd5\x1d\xd5\xf9\xcc\xd6\xad\x44\x11\xfe\x82\x13\x48\x6d\x78\xa6\xc4\x9f\x93\xef\xc2\xca\x22\x88\xce\xbc\x2b\x9b\x60\xbd\x04\xb1\xe2\x20\xd8\x6e\x3d\x48\x48\xd7\x09\xd0\x32\xd1\xe8\xc6\xa0\x70\xc6\xaf\x9a\x49\x9f\xcf\x95\x35\x4b\x14\xba\x61\x27\xc7\x39\xde\x1b\xb0\xfd\x16\x43\x1e\x46\x93\x8a\xec\x0c\xf8\xad\x9e\xb7\x2e\x83\x2a\x70\x35\xde\x9b\x78\x07\xbd\xc0\xed\x8b\x68\xeb\x0f\x5a\xc2\x21\x6b\xe4\x0c\xe9\x20\xc0\xdb\x0e\xdd\xd3\x86\x0e\xd7\x88\xef\xac\xca\xca\x50\x2d\x8f\x2b\xd6\xd1\xa7\xc1\xf4\x1f\xf4\x6f\x16\x81\xc8\xf1\xf8\x18\xe9\xc4\xf6\xd9\x1a\x0c\x78\x03\xcc\xc6\x3d\x76\xa6\x54\x4d\x84\x3e\x08\x4e\x36\x3b\x8a\xcc\x55\xaa\x53\x17\x33\xed\xb5\xde\xe5\xb5\x19\x6e\x9f\x03\xe8\xb7\x31\xb3\x77\x64\x28\xd9\xe4\x57\xfe\x3f\xbc\xb3\xdb\x72\x74\x44\x2d\x78\x58\x90\xe9\xcb\x08\x54\xb6\x44\x4d\xac\xe7\x91\xd7\x27\x3d\xe1\x88\x97\x19\x33\x8a\x77\xfe" - , salt = "\x7f\x6d\xd3\x59\xe6\x04\xe6\x08\x70\xe8\x98\xe4\x7b\x19\xbf\x2e\x5a\x7b\x2a\x90" - , signature = "\x01\x09\x91\x65\x6c\xca\x18\x2b\x7f\x29\xd2\xdb\xc0\x07\xe7\xae\x0f\xec\x15\x8e\xb6\x75\x9c\xb9\xc4\x5c\x5f\xf8\x7c\x76\x35\xdd\x46\xd1\x50\x88\x2f\x4d\xe1\xe9\xae\x65\xe7\xf7\xd9\x01\x8f\x68\x36\x95\x4a\x47\xc0\xa8\x1a\x8a\x6b\x6f\x83\xf2\x94\x4d\x60\x81\xb1\xaa\x7c\x75\x9b\x25\x4b\x2c\x34\xb6\x91\xda\x67\xcc\x02\x26\xe2\x0b\x2f\x18\xb4\x22\x12\x76\x1d\xcd\x4b\x90\x8a\x62\xb3\x71\xb5\x91\x8c\x57\x42\xaf\x4b\x53\x7e\x29\x69\x17\x67\x4f\xb9\x14\x19\x47\x61\x62\x1c\xc1\x9a\x41\xf6\xfb\x95\x3f\xbc\xbb\x64\x9d\xea" - } - -- Example 2.3 - , VectorPSS - { message = "\x52\xa1\xd9\x6c\x8a\xc3\x9e\x41\xe4\x55\x80\x98\x01\xb9\x27\xa5\xb4\x45\xc1\x0d\x90\x2a\x0d\xcd\x38\x50\xd2\x2a\x66\xd2\xbb\x07\x03\xe6\x7d\x58\x67\x11\x45\x95\xaa\xbf\x5a\x7a\xeb\x5a\x8f\x87\x03\x4b\xbb\x30\xe1\x3c\xfd\x48\x17\xa9\xbe\x76\x23\x00\x23\x60\x6d\x02\x86\xa3\xfa\xf8\xa4\xd2\x2b\x72\x8e\xc5\x18\x07\x9f\x9e\x64\x52\x6e\x3a\x0c\xc7\x94\x1a\xa3\x38\xc4\x37\x99\x7c\x68\x0c\xca\xc6\x7c\x66\xbf\xa1" - , salt = "\xfc\xa8\x62\x06\x8b\xce\x22\x46\x72\x4b\x70\x8a\x05\x19\xda\x17\xe6\x48\x68\x8c" - , signature = "\x00\x7f\x00\x30\x01\x8f\x53\xcd\xc7\x1f\x23\xd0\x36\x59\xfd\xe5\x4d\x42\x41\xf7\x58\xa7\x50\xb4\x2f\x18\x5f\x87\x57\x85\x20\xc3\x07\x42\xaf\xd8\x43\x59\xb6\xe6\xe8\xd3\xed\x95\x9d\xc6\xfe\x48\x6b\xed\xc8\xe2\xcf\x00\x1f\x63\xa7\xab\xe1\x62\x56\xa1\xb8\x4d\xf0\xd2\x49\xfc\x05\xd3\x19\x4c\xe5\xf0\x91\x27\x42\xdb\xbf\x80\xdd\x17\x4f\x6c\x51\xf6\xba\xd7\xf1\x6c\xf3\x36\x4e\xba\x09\x5a\x06\x26\x7d\xc3\x79\x38\x03\xac\x75\x26\xae\xbe\x0a\x47\x5d\x38\xb8\xc2\x24\x7a\xb5\x1c\x48\x98\xdf\x70\x47\xdc\x6a\xdf\x52\xc6\xc4" - } - -- Example 2.4 - , VectorPSS - { message = "\xa7\x18\x2c\x83\xac\x18\xbe\x65\x70\xa1\x06\xaa\x9d\x5c\x4e\x3d\xbb\xd4\xaf\xae\xb0\xc6\x0c\x4a\x23\xe1\x96\x9d\x79\xff" - , salt = "\x80\x70\xef\x2d\xe9\x45\xc0\x23\x87\x68\x4b\xa0\xd3\x30\x96\x73\x22\x35\xd4\x40" - , signature = "\x00\x9c\xd2\xf4\xed\xbe\x23\xe1\x23\x46\xae\x8c\x76\xdd\x9a\xd3\x23\x0a\x62\x07\x61\x41\xf1\x6c\x15\x2b\xa1\x85\x13\xa4\x8e\xf6\xf0\x10\xe0\xe3\x7f\xd3\xdf\x10\xa1\xec\x62\x9a\x0c\xb5\xa3\xb5\xd2\x89\x30\x07\x29\x8c\x30\x93\x6a\x95\x90\x3b\x6b\xa8\x55\x55\xd9\xec\x36\x73\xa0\x61\x08\xfd\x62\xa2\xfd\xa5\x6d\x1c\xe2\xe8\x5c\x4d\xb6\xb2\x4a\x81\xca\x3b\x49\x6c\x36\xd4\xfd\x06\xeb\x7c\x91\x66\xd8\xe9\x48\x77\xc4\x2b\xea\x62\x2b\x3b\xfe\x92\x51\xfd\xc2\x1d\x8d\x53\x71\xba\xda\xd7\x8a\x48\x82\x14\x79\x63\x35\xb4\x0b" - } - -- Example 2.5 - , VectorPSS - { message = "\x86\xa8\x3d\x4a\x72\xee\x93\x2a\x4f\x56\x30\xaf\x65\x79\xa3\x86\xb7\x8f\xe8\x89\x99\xe0\xab\xd2\xd4\x90\x34\xa4\xbf\xc8\x54\xdd\x94\xf1\x09\x4e\x2e\x8c\xd7\xa1\x79\xd1\x95\x88\xe4\xae\xfc\x1b\x1b\xd2\x5e\x95\xe3\xdd\x46\x1f" - , salt = "\x17\x63\x9a\x4e\x88\xd7\x22\xc4\xfc\xa2\x4d\x07\x9a\x8b\x29\xc3\x24\x33\xb0\xc9" - , signature = "\x00\xec\x43\x08\x24\x93\x1e\xbd\x3b\xaa\x43\x03\x4d\xae\x98\xba\x64\x6b\x8c\x36\x01\x3d\x16\x71\xc3\xcf\x1c\xf8\x26\x0c\x37\x4b\x19\xf8\xe1\xcc\x8d\x96\x50\x12\x40\x5e\x7e\x9b\xf7\x37\x86\x12\xdf\xcc\x85\xfc\xe1\x2c\xda\x11\xf9\x50\xbd\x0b\xa8\x87\x67\x40\x43\x6c\x1d\x25\x95\xa6\x4a\x1b\x32\xef\xcf\xb7\x4a\x21\xc8\x73\xb3\xcc\x33\xaa\xf4\xe3\xdc\x39\x53\xde\x67\xf0\x67\x4c\x04\x53\xb4\xfd\x9f\x60\x44\x06\xd4\x41\xb8\x16\x09\x8c\xb1\x06\xfe\x34\x72\xbc\x25\x1f\x81\x5f\x59\xdb\x2e\x43\x78\xa3\xad\xdc\x18\x1e\xcf" - } - -- Example 2.6 - , VectorPSS - { message = "\x04\x9f\x91\x54\xd8\x71\xac\x4a\x7c\x7a\xb4\x53\x25\xba\x75\x45\xa1\xed\x08\xf7\x05\x25\xb2\x66\x7c\xf1" - , salt = "\x37\x81\x0d\xef\x10\x55\xed\x92\x2b\x06\x3d\xf7\x98\xde\x5d\x0a\xab\xf8\x86\xee" - , signature = "\x00\x47\x5b\x16\x48\xf8\x14\xa8\xdc\x0a\xbd\xc3\x7b\x55\x27\xf5\x43\xb6\x66\xbb\x6e\x39\xd3\x0e\x5b\x49\xd3\xb8\x76\xdc\xcc\x58\xea\xc1\x4e\x32\xa2\xd5\x5c\x26\x16\x01\x44\x56\xad\x2f\x24\x6f\xc8\xe3\xd5\x60\xda\x3d\xdf\x37\x9a\x1c\x0b\xd2\x00\xf1\x02\x21\xdf\x07\x8c\x21\x9a\x15\x1b\xc8\xd4\xec\x9d\x2f\xc2\x56\x44\x67\x81\x10\x14\xef\x15\xd8\xea\x01\xc2\xeb\xbf\xf8\xc2\xc8\xef\xab\x38\x09\x6e\x55\xfc\xbe\x32\x85\xc7\xaa\x55\x88\x51\x25\x4f\xaf\xfa\x92\xc1\xc7\x2b\x78\x75\x86\x63\xef\x45\x82\x84\x31\x39\xd7\xa6" - } - ] - --- ================================== --- Example 3: A 1026-bit RSA Key Pair --- ================================== - -rsaKey3 = PrivateKey - { private_pub = PublicKey - { public_n = 0x02f246ef451ed3eebb9a310200cc25859c048e4be798302991112eb68ce6db674e280da21feded1ae74880ca522b18db249385012827c515f0e466a1ffa691d98170574e9d0eadb087586ca48933da3cc953d95bd0ed50de10ddcb6736107d6c831c7f663e833ca4c097e700ce0fb945f88fb85fe8e5a773172565b914a471a443 - , public_e = 0x010001 - , public_size = 129 - } - , private_d = 0x651451733b56de5ac0a689a4aeb6e6894a69014e076c88dd7a667eab3232bbccd2fc44ba2fa9c31db46f21edd1fdb23c5c128a5da5bab91e7f952b67759c7cff705415ac9fa0907c7ca6178f668fb948d869da4cc3b7356f4008dfd5449d32ee02d9a477eb69fc29266e5d9070512375a50fbbcc27e238ad98425f6ebbf88991 - , private_p = 0x01bd36e18ece4b0fdb2e9c9d548bd1a7d6e2c21c6fdc35074a1d05b1c6c8b3d558ea2639c9a9a421680169317252558bd148ad215aac550e2dcf12a82d0ebfe853 - , private_q = 0x01b1b656ad86d8e19d5dc86292b3a192fdf6e0dd37877bad14822fa00190cab265f90d3f02057b6f54d6ecb14491e5adeacebc48bf0ebd2a2ad26d402e54f61651 - , private_dP = 0x1f2779fd2e3e5e6bae05539518fba0cd0ead1aa4513a7cba18f1cf10e3f68195693d278a0f0ee72f89f9bc760d80e2f9d0261d516501c6ae39f14a476ce2ccf5 - , private_dQ = 0x011a0d36794b04a854aab4b2462d439a5046c91d940b2bc6f75b62956fef35a2a6e63c5309817f307bbff9d59e7e331bd363f6d66849b18346adea169f0ae9aec1 - , private_qinv = 0x0b30f0ecf558752fb3a6ce4ba2b8c675f659eba6c376585a1b39712d038ae3d2b46fcb418ae15d0905da6440e1513a30b9b7d6668fbc5e88e5ab7a175e73ba35 - } - -vectorsKey3 = - [ - -- Example 3.1 - VectorPSS - { message = "\x59\x4b\x37\x33\x3b\xbb\x2c\x84\x52\x4a\x87\xc1\xa0\x1f\x75\xfc\xec\x0e\x32\x56\xf1\x08\xe3\x8d\xca\x36\xd7\x0d\x00\x57" - , salt = "\xf3\x1a\xd6\xc8\xcf\x89\xdf\x78\xed\x77\xfe\xac\xbc\xc2\xf8\xb0\xa8\xe4\xcf\xaa" - , signature = "\x00\x88\xb1\x35\xfb\x17\x94\xb6\xb9\x6c\x4a\x3e\x67\x81\x97\xf8\xca\xc5\x2b\x64\xb2\xfe\x90\x7d\x6f\x27\xde\x76\x11\x24\x96\x4a\x99\xa0\x1a\x88\x27\x40\xec\xfa\xed\x6c\x01\xa4\x74\x64\xbb\x05\x18\x23\x13\xc0\x13\x38\xa8\xcd\x09\x72\x14\xcd\x68\xca\x10\x3b\xd5\x7d\x3b\xc9\xe8\x16\x21\x3e\x61\xd7\x84\xf1\x82\x46\x7a\xbf\x8a\x01\xcf\x25\x3e\x99\xa1\x56\xea\xa8\xe3\xe1\xf9\x0e\x3c\x6e\x4e\x3a\xa2\xd8\x3e\xd0\x34\x5b\x89\xfa\xfc\x9c\x26\x07\x7c\x14\xb6\xac\x51\x45\x4f\xa2\x6e\x44\x6e\x3a\x2f\x15\x3b\x2b\x16\x79\x7f" - } - -- Example 3.2 - , VectorPSS - { message = "\x8b\x76\x95\x28\x88\x4a\x0d\x1f\xfd\x09\x0c\xf1\x02\x99\x3e\x79\x6d\xad\xcf\xbd\xdd\x38\xe4\x4f\xf6\x32\x4c\xa4\x51" - , salt = "\xfc\xf9\xf0\xe1\xf1\x99\xa3\xd1\xd0\xda\x68\x1c\x5b\x86\x06\xfc\x64\x29\x39\xf7" - , signature = "\x02\xa5\xf0\xa8\x58\xa0\x86\x4a\x4f\x65\x01\x7a\x7d\x69\x45\x4f\x3f\x97\x3a\x29\x99\x83\x9b\x7b\xbc\x48\xbf\x78\x64\x11\x69\x17\x95\x56\xf5\x95\xfa\x41\xf6\xff\x18\xe2\x86\xc2\x78\x30\x79\xbc\x09\x10\xee\x9c\xc3\x4f\x49\xba\x68\x11\x24\xf9\x23\xdf\xa8\x8f\x42\x61\x41\xa3\x68\xa5\xf5\xa9\x30\xc6\x28\xc2\xc3\xc2\x00\xe1\x8a\x76\x44\x72\x1a\x0c\xbe\xc6\xdd\x3f\x62\x79\xbd\xe3\xe8\xf2\xbe\x5e\x2d\x4e\xe5\x6f\x97\xe7\xce\xaf\x33\x05\x4b\xe7\x04\x2b\xd9\x1a\x63\xbb\x09\xf8\x97\xbd\x41\xe8\x11\x97\xde\xe9\x9b\x11\xaf" - } - -- Example 3.3 - , VectorPSS - { message = "\x1a\xbd\xba\x48\x9c\x5a\xda\x2f\x99\x5e\xd1\x6f\x19\xd5\xa9\x4d\x9e\x6e\xc3\x4a\x8d\x84\xf8\x45\x57\xd2\x6e\x5e\xf9\xb0\x2b\x22\x88\x7e\x3f\x9a\x4b\x69\x0a\xd1\x14\x92\x09\xc2\x0c\x61\x43\x1f\x0c\x01\x7c\x36\xc2\x65\x7b\x35\xd7\xb0\x7d\x3f\x5a\xd8\x70\x85\x07\xa9\xc1\xb8\x31\xdf\x83\x5a\x56\xf8\x31\x07\x18\x14\xea\x5d\x3d\x8d\x8f\x6a\xde\x40\xcb\xa3\x8b\x42\xdb\x7a\x2d\x3d\x7a\x29\xc8\xf0\xa7\x9a\x78\x38\xcf\x58\xa9\x75\x7f\xa2\xfe\x4c\x40\xdf\x9b\xaa\x19\x3b\xfc\x6f\x92\xb1\x23\xad\x57\xb0\x7a\xce\x3e\x6a\xc0\x68\xc9\xf1\x06\xaf\xd9\xee\xb0\x3b\x4f\x37\xc2\x5d\xbf\xbc\xfb\x30\x71\xf6\xf9\x77\x17\x66\xd0\x72\xf3\xbb\x07\x0a\xf6\x60\x55\x32\x97\x3a\xe2\x50\x51" - , salt = "\x98\x6e\x7c\x43\xdb\xb6\x71\xbd\x41\xb9\xa7\xf4\xb6\xaf\xc8\x0e\x80\x5f\x24\x23" - , signature = "\x02\x44\xbc\xd1\xc8\xc1\x69\x55\x73\x6c\x80\x3b\xe4\x01\x27\x2e\x18\xcb\x99\x08\x11\xb1\x4f\x72\xdb\x96\x41\x24\xd5\xfa\x76\x06\x49\xcb\xb5\x7a\xfb\x87\x55\xdb\xb6\x2b\xf5\x1f\x46\x6c\xf2\x3a\x0a\x16\x07\x57\x6e\x98\x3d\x77\x8f\xce\xff\xa9\x2d\xf7\x54\x8a\xea\x8e\xa4\xec\xad\x2c\x29\xdd\x9f\x95\xbc\x07\xfe\x91\xec\xf8\xbe\xe2\x55\xbf\xe8\x76\x2f\xd7\x69\x0a\xa9\xbf\xa4\xfa\x08\x49\xef\x72\x8c\x2c\x42\xc4\x53\x23\x64\x52\x2d\xf2\xab\x7f\x9f\x8a\x03\xb6\x3f\x7a\x49\x91\x75\x82\x86\x68\xf5\xef\x5a\x29\xe3\x80\x2c" - } - -- Example 3.4 - , VectorPSS - { message = "\x8f\xb4\x31\xf5\xee\x79\x2b\x6c\x2a\xc7\xdb\x53\xcc\x42\x86\x55\xae\xb3\x2d\x03\xf4\xe8\x89\xc5\xc2\x5d\xe6\x83\xc4\x61\xb5\x3a\xcf\x89\xf9\xf8\xd3\xaa\xbd\xf6\xb9\xf0\xc2\xa1\xde\x12\xe1\x5b\x49\xed\xb3\x91\x9a\x65\x2f\xe9\x49\x1c\x25\xa7\xfc\xe1\xf7\x22\xc2\x54\x36\x08\xb6\x9d\xc3\x75\xec" - , salt = "\xf8\x31\x2d\x9c\x8e\xea\x13\xec\x0a\x4c\x7b\x98\x12\x0c\x87\x50\x90\x87\xc4\x78" - , signature = "\x01\x96\xf1\x2a\x00\x5b\x98\x12\x9c\x8d\xf1\x3c\x4c\xb1\x6f\x8a\xa8\x87\xd3\xc4\x0d\x96\xdf\x3a\x88\xe7\x53\x2e\xf3\x9c\xd9\x92\xf2\x73\xab\xc3\x70\xbc\x1b\xe6\xf0\x97\xcf\xeb\xbf\x01\x18\xfd\x9e\xf4\xb9\x27\x15\x5f\x3d\xf2\x2b\x90\x4d\x90\x70\x2d\x1f\x7b\xa7\xa5\x2b\xed\x8b\x89\x42\xf4\x12\xcd\x7b\xd6\x76\xc9\xd1\x8e\x17\x03\x91\xdc\xd3\x45\xc0\x6a\x73\x09\x64\xb3\xf3\x0b\xcc\xe0\xbb\x20\xba\x10\x6f\x9a\xb0\xee\xb3\x9c\xf8\xa6\x60\x7f\x75\xc0\x34\x7f\x0a\xf7\x9f\x16\xaf\xa0\x81\xd2\xc9\x2d\x1e\xe6\xf8\x36\xb8" - } - -- Example 3.5 - , VectorPSS - { message = "\xfe\xf4\x16\x1d\xfa\xaf\x9c\x52\x95\x05\x1d\xfc\x1f\xf3\x81\x0c\x8c\x9e\xc2\xe8\x66\xf7\x07\x54\x22\xc8\xec\x42\x16\xa9\xc4\xff\x49\x42\x7d\x48\x3c\xae\x10\xc8\x53\x4a\x41\xb2\xfd\x15\xfe\xe0\x69\x60\xec\x6f\xb3\xf7\xa7\xe9\x4a\x2f\x8a\x2e\x3e\x43\xdc\x4a\x40\x57\x6c\x30\x97\xac\x95\x3b\x1d\xe8\x6f\x0b\x4e\xd3\x6d\x64\x4f\x23\xae\x14\x42\x55\x29\x62\x24\x64\xca\x0c\xbf\x0b\x17\x41\x34\x72\x38\x15\x7f\xab\x59\xe4\xde\x55\x24\x09\x6d\x62\xba\xec\x63\xac\x64" - , salt = "\x50\x32\x7e\xfe\xc6\x29\x2f\x98\x01\x9f\xc6\x7a\x2a\x66\x38\x56\x3e\x9b\x6e\x2d" - , signature = "\x02\x1e\xca\x3a\xb4\x89\x22\x64\xec\x22\x41\x1a\x75\x2d\x92\x22\x10\x76\xd4\xe0\x1c\x0e\x6f\x0d\xde\x9a\xfd\x26\xba\x5a\xcf\x6d\x73\x9e\xf9\x87\x54\x5d\x16\x68\x3e\x56\x74\xc9\xe7\x0f\x1d\xe6\x49\xd7\xe6\x1d\x48\xd0\xca\xeb\x4f\xb4\xd8\xb2\x4f\xba\x84\xa6\xe3\x10\x8f\xee\x7d\x07\x05\x97\x32\x66\xac\x52\x4b\x4a\xd2\x80\xf7\xae\x17\xdc\x59\xd9\x6d\x33\x51\x58\x6b\x5a\x3b\xdb\x89\x5d\x1e\x1f\x78\x20\xac\x61\x35\xd8\x75\x34\x80\x99\x83\x82\xba\x32\xb7\x34\x95\x59\x60\x8c\x38\x74\x52\x90\xa8\x5e\xf4\xe9\xf9\xbd\x83" - } - -- Example 3.6 - , VectorPSS - { message = "\xef\xd2\x37\xbb\x09\x8a\x44\x3a\xee\xb2\xbf\x6c\x3f\x8c\x81\xb8\xc0\x1b\x7f\xcb\x3f\xeb" - , salt = "\xb0\xde\x3f\xc2\x5b\x65\xf5\xaf\x96\xb1\xd5\xcc\x3b\x27\xd0\xc6\x05\x30\x87\xb3" - , signature = "\x01\x2f\xaf\xec\x86\x2f\x56\xe9\xe9\x2f\x60\xab\x0c\x77\x82\x4f\x42\x99\xa0\xca\x73\x4e\xd2\x6e\x06\x44\xd5\xd2\x22\xc7\xf0\xbd\xe0\x39\x64\xf8\xe7\x0a\x5c\xb6\x5e\xd4\x4e\x44\xd5\x6a\xe0\xed\xf1\xff\x86\xca\x03\x2c\xc5\xdd\x44\x04\xdb\xb7\x6a\xb8\x54\x58\x6c\x44\xee\xd8\x33\x6d\x08\xd4\x57\xce\x6c\x03\x69\x3b\x45\xc0\xf1\xef\xef\x93\x62\x4b\x95\xb8\xec\x16\x9c\x61\x6d\x20\xe5\x53\x8e\xbc\x0b\x67\x37\xa6\xf8\x2b\x4b\xc0\x57\x09\x24\xfc\x6b\x35\x75\x9a\x33\x48\x42\x62\x79\xf8\xb3\xd7\x74\x4e\x2d\x22\x24\x26\xce" - } - ] - --- ================================== --- Example 8: A 1031-bit RSA Key Pair --- ================================== - -rsaKey8 = PrivateKey - { private_pub = PublicKey - { public_n = 0x495370a1fb18543c16d3631e3163255df62be6eee890d5f25509e4f778a8ea6fbbbcdf85dff64e0d972003ab3681fbba6dd41fd541829b2e582de9f2a4a4e0a2d0900bef4753db3cee0ee06c7dfae8b1d53b5953218f9cceea695b08668edeaadced9463b1d790d5ebf27e9115b46cad4d9a2b8efab0561b0810344739ada0733f - , public_e = 0x010001 - , public_size = 129 - } - , private_d = 0x6c66ffe98980c38fcdeab5159898836165f4b4b817c4f6a8d486ee4ea9130fe9b9092bd136d184f95f504a607eac565846d2fdd6597a8967c7396ef95a6eeebb4578a643966dca4d8ee3de842de63279c618159c1ab54a89437b6a6120e4930afb52a4ba6ced8a4947ac64b30a3497cbe701c2d6266d517219ad0ec6d347dbe9 - , private_p = 0x08dad7f11363faa623d5d6d5e8a319328d82190d7127d2846c439b0ab72619b0a43a95320e4ec34fc3a9cea876422305bd76c5ba7be9e2f410c8060645a1d29edb - , private_q = 0x0847e732376fc7900f898ea82eb2b0fc418565fdae62f7d9ec4ce2217b97990dd272db157f99f63c0dcbb9fbacdbd4c4dadb6df67756358ca4174825b48f49706d - , private_dP = 0x05c2a83c124b3621a2aa57ea2c3efe035eff4560f33ddebb7adab81fce69a0c8c2edc16520dda83d59a23be867963ac65f2cc710bbcfb96ee103deb771d105fd85 - , private_dQ = 0x04cae8aa0d9faa165c87b682ec140b8ed3b50b24594b7a3b2c220b3669bb819f984f55310a1ae7823651d4a02e99447972595139363434e5e30a7e7d241551e1b9 - , private_qinv = 0x07d3e47bf686600b11ac283ce88dbb3f6051e8efd04680e44c171ef531b80b2b7c39fc766320e2cf15d8d99820e96ff30dc69691839c4b40d7b06e45307dc91f3f - } - -vectorsKey8 = - [ - -- Example 8.1 - VectorPSS - { message = "\x81\x33\x2f\x4b\xe6\x29\x48\x41\x5e\xa1\xd8\x99\x79\x2e\xea\xcf\x6c\x6e\x1d\xb1\xda\x8b\xe1\x3b\x5c\xea\x41\xdb\x2f\xed\x46\x70\x92\xe1\xff\x39\x89\x14\xc7\x14\x25\x97\x75\xf5\x95\xf8\x54\x7f\x73\x56\x92\xa5\x75\xe6\x92\x3a\xf7\x8f\x22\xc6\x99\x7d\xdb\x90\xfb\x6f\x72\xd7\xbb\x0d\xd5\x74\x4a\x31\xde\xcd\x3d\xc3\x68\x58\x49\x83\x6e\xd3\x4a\xec\x59\x63\x04\xad\x11\x84\x3c\x4f\x88\x48\x9f\x20\x97\x35\xf5\xfb\x7f\xda\xf7\xce\xc8\xad\xdc\x58\x18\x16\x8f\x88\x0a\xcb\xf4\x90\xd5\x10\x05\xb7\xa8\xe8\x4e\x43\xe5\x42\x87\x97\x75\x71\xdd\x99\xee\xa4\xb1\x61\xeb\x2d\xf1\xf5\x10\x8f\x12\xa4\x14\x2a\x83\x32\x2e\xdb\x05\xa7\x54\x87\xa3\x43\x5c\x9a\x78\xce\x53\xed\x93\xbc\x55\x08\x57\xd7\xa9\xfb" - , salt = "\x1d\x65\x49\x1d\x79\xc8\x64\xb3\x73\x00\x9b\xe6\xf6\xf2\x46\x7b\xac\x4c\x78\xfa" - , signature = "\x02\x62\xac\x25\x4b\xfa\x77\xf3\xc1\xac\xa2\x2c\x51\x79\xf8\xf0\x40\x42\x2b\x3c\x5b\xaf\xd4\x0a\x8f\x21\xcf\x0f\xa5\xa6\x67\xcc\xd5\x99\x3d\x42\xdb\xaf\xb4\x09\xc5\x20\xe2\x5f\xce\x2b\x1e\xe1\xe7\x16\x57\x7f\x1e\xfa\x17\xf3\xda\x28\x05\x2f\x40\xf0\x41\x9b\x23\x10\x6d\x78\x45\xaa\xf0\x11\x25\xb6\x98\xe7\xa4\xdf\xe9\x2d\x39\x67\xbb\x00\xc4\xd0\xd3\x5b\xa3\x55\x2a\xb9\xa8\xb3\xee\xf0\x7c\x7f\xec\xdb\xc5\x42\x4a\xc4\xdb\x1e\x20\xcb\x37\xd0\xb2\x74\x47\x69\x94\x0e\xa9\x07\xe1\x7f\xbb\xca\x67\x3b\x20\x52\x23\x80\xc5" - } - -- Example 8.2 - , VectorPSS - { message = "\xe2\xf9\x6e\xaf\x0e\x05\xe7\xba\x32\x6e\xcc\xa0\xba\x7f\xd2\xf7\xc0\x23\x56\xf3\xce\xde\x9d\x0f\xaa\xbf\x4f\xcc\x8e\x60\xa9\x73\xe5\x59\x5f\xd9\xea\x08" - , salt = "\x43\x5c\x09\x8a\xa9\x90\x9e\xb2\x37\x7f\x12\x48\xb0\x91\xb6\x89\x87\xff\x18\x38" - , signature = "\x27\x07\xb9\xad\x51\x15\xc5\x8c\x94\xe9\x32\xe8\xec\x0a\x28\x0f\x56\x33\x9e\x44\xa1\xb5\x8d\x4d\xdc\xff\x2f\x31\x2e\x5f\x34\xdc\xfe\x39\xe8\x9c\x6a\x94\xdc\xee\x86\xdb\xbd\xae\x5b\x79\xba\x4e\x08\x19\xa9\xe7\xbf\xd9\xd9\x82\xe7\xee\x6c\x86\xee\x68\x39\x6e\x8b\x3a\x14\xc9\xc8\xf3\x4b\x17\x8e\xb7\x41\xf9\xd3\xf1\x21\x10\x9b\xf5\xc8\x17\x2f\xad\xa2\xe7\x68\xf9\xea\x14\x33\x03\x2c\x00\x4a\x8a\xa0\x7e\xb9\x90\x00\x0a\x48\xdc\x94\xc8\xba\xc8\xaa\xbe\x2b\x09\xb1\xaa\x46\xc0\xa2\xaa\x0e\x12\xf6\x3f\xbb\xa7\x75\xba\x7e" - } - -- Example 8.3 - , VectorPSS - { message = "\xe3\x5c\x6e\xd9\x8f\x64\xa6\xd5\xa6\x48\xfc\xab\x8a\xdb\x16\x33\x1d\xb3\x2e\x5d\x15\xc7\x4a\x40\xed\xf9\x4c\x3d\xc4\xa4\xde\x79\x2d\x19\x08\x89\xf2\x0f\x1e\x24\xed\x12\x05\x4a\x6b\x28\x79\x8f\xcb\x42\xd1\xc5\x48\x76\x9b\x73\x4c\x96\x37\x31\x42\x09\x2a\xed\x27\x76\x03\xf4\x73\x8d\xf4\xdc\x14\x46\x58\x6d\x0e\xc6\x4d\xa4\xfb\x60\x53\x6d\xb2\xae\x17\xfc\x7e\x3c\x04\xbb\xfb\xbb\xd9\x07\xbf\x11\x7c\x08\x63\x6f\xa1\x6f\x95\xf5\x1a\x62\x16\x93\x4d\x3e\x34\xf8\x50\x30\xf1\x7b\xbb\xc5\xba\x69\x14\x40\x58\xaf\xf0\x81\xe0\xb1\x9c\xf0\x3c\x17\x19\x5c\x5e\x88\x8b\xa5\x8f\x6f\xe0\xa0\x2e\x5c\x3b\xda\x97\x19\xa7" - , salt = "\xc6\xeb\xbe\x76\xdf\x0c\x4a\xea\x32\xc4\x74\x17\x5b\x2f\x13\x68\x62\xd0\x45\x29" - , signature = "\x2a\xd2\x05\x09\xd7\x8c\xf2\x6d\x1b\x6c\x40\x61\x46\x08\x6e\x4b\x0c\x91\xa9\x1c\x2b\xd1\x64\xc8\x7b\x96\x6b\x8f\xaa\x42\xaa\x0c\xa4\x46\x02\x23\x23\xba\x4b\x1a\x1b\x89\x70\x6d\x7f\x4c\x3b\xe5\x7d\x7b\x69\x70\x2d\x16\x8a\xb5\x95\x5e\xe2\x90\x35\x6b\x8c\x4a\x29\xed\x46\x7d\x54\x7e\xc2\x3c\xba\xdf\x28\x6c\xcb\x58\x63\xc6\x67\x9d\xa4\x67\xfc\x93\x24\xa1\x51\xc7\xec\x55\xaa\xc6\xdb\x40\x84\xf8\x27\x26\x82\x5c\xfe\x1a\xa4\x21\xbc\x64\x04\x9f\xb4\x2f\x23\x14\x8f\x9c\x25\xb2\xdc\x30\x04\x37\xc3\x8d\x42\x8a\xa7\x5f\x96" - } - -- Example 8.4 - , VectorPSS - { message = "\xdb\xc5\xf7\x50\xa7\xa1\x4b\xe2\xb9\x3e\x83\x8d\x18\xd1\x4a\x86\x95\xe5\x2e\x8a\xdd\x9c\x0a\xc7\x33\xb8\xf5\x6d\x27\x47\xe5\x29\xa0\xcc\xa5\x32\xdd\x49\xb9\x02\xae\xfe\xd5\x14\x44\x7f\x9e\x81\xd1\x61\x95\xc2\x85\x38\x68\xcb\x9b\x30\xf7\xd0\xd4\x95\xc6\x9d\x01\xb5\xc5\xd5\x0b\x27\x04\x5d\xb3\x86\x6c\x23\x24\xa4\x4a\x11\x0b\x17\x17\x74\x6d\xe4\x57\xd1\xc8\xc4\x5c\x3c\xd2\xa9\x29\x70\xc3\xd5\x96\x32\x05\x5d\x4c\x98\xa4\x1d\x6e\x99\xe2\xa3\xdd\xd5\xf7\xf9\x97\x9a\xb3\xcd\x18\xf3\x75\x05\xd2\x51\x41\xde\x2a\x1b\xff\x17\xb3\xa7\xdc\xe9\x41\x9e\xcc\x38\x5c\xf1\x1d\x72\x84\x0f\x19\x95\x3f\xd0\x50\x92\x51\xf6\xca\xfd\xe2\x89\x3d\x0e\x75\xc7\x81\xba\x7a\x50\x12\xca\x40\x1a\x4f\xa9\x9e\x04\xb3\xc3\x24\x9f\x92\x6d\x5a\xfe\x82\xcc\x87\xda\xb2\x2c\x3c\x1b\x10\x5d\xe4\x8e\x34\xac\xe9\xc9\x12\x4e\x59\x59\x7a\xc7\xeb\xf8" - , salt = "\x02\x1f\xdc\xc6\xeb\xb5\xe1\x9b\x1c\xb1\x6e\x9c\x67\xf2\x76\x81\x65\x7f\xe2\x0a" - , signature = "\x1e\x24\xe6\xe5\x86\x28\xe5\x17\x50\x44\xa9\xeb\x6d\x83\x7d\x48\xaf\x12\x60\xb0\x52\x0e\x87\x32\x7d\xe7\x89\x7e\xe4\xd5\xb9\xf0\xdf\x0b\xe3\xe0\x9e\xd4\xde\xa8\xc1\x45\x4f\xf3\x42\x3b\xb0\x8e\x17\x93\x24\x5a\x9d\xf8\xbf\x6a\xb3\x96\x8c\x8e\xdd\xc3\xb5\x32\x85\x71\xc7\x7f\x09\x1c\xc5\x78\x57\x69\x12\xdf\xeb\xd1\x64\xb9\xde\x54\x54\xfe\x0b\xe1\xc1\xf6\x38\x5b\x32\x83\x60\xce\x67\xec\x7a\x05\xf6\xe3\x0e\xb4\x5c\x17\xc4\x8a\xc7\x00\x41\xd2\xca\xb6\x7f\x0a\x2a\xe7\xaa\xfd\xcc\x8d\x24\x5e\xa3\x44\x2a\x63\x00\xcc\xc7" - } - -- Example 8.5 - , VectorPSS - { message = "\x04\xdc\x25\x1b\xe7\x2e\x88\xe5\x72\x34\x85\xb6\x38\x3a\x63\x7e\x2f\xef\xe0\x76\x60\xc5\x19\xa5\x60\xb8\xbc\x18\xbd\xed\xb8\x6e\xae\x23\x64\xea\x53\xba\x9d\xca\x6e\xb3\xd2\xe7\xd6\xb8\x06\xaf\x42\xb3\xe8\x7f\x29\x1b\x4a\x88\x81\xd5\xbf\x57\x2c\xc9\xa8\x5e\x19\xc8\x6a\xcb\x28\xf0\x98\xf9\xda\x03\x83\xc5\x66\xd3\xc0\xf5\x8c\xfd\x8f\x39\x5d\xcf\x60\x2e\x5c\xd4\x0e\x8c\x71\x83\xf7\x14\x99\x6e\x22\x97\xef" - , salt = "\xc5\x58\xd7\x16\x7c\xbb\x45\x08\xad\xa0\x42\x97\x1e\x71\xb1\x37\x7e\xea\x42\x69" - , signature = "\x33\x34\x1b\xa3\x57\x6a\x13\x0a\x50\xe2\xa5\xcf\x86\x79\x22\x43\x88\xd5\x69\x3f\x5a\xcc\xc2\x35\xac\x95\xad\xd6\x8e\x5e\xb1\xee\xc3\x16\x66\xd0\xca\x7a\x1c\xda\x6f\x70\xa1\xaa\x76\x2c\x05\x75\x2a\x51\x95\x0c\xdb\x8a\xf3\xc5\x37\x9f\x18\xcf\xe6\xb5\xbc\x55\xa4\x64\x82\x26\xa1\x5e\x91\x2e\xf1\x9a\xd7\x7a\xde\xea\x91\x1d\x67\xcf\xef\xd6\x9b\xa4\x3f\xa4\x11\x91\x35\xff\x64\x21\x17\xba\x98\x5a\x7e\x01\x00\x32\x5e\x95\x19\xf1\xca\x6a\x92\x16\xbd\xa0\x55\xb5\x78\x50\x15\x29\x11\x25\xe9\x0d\xcd\x07\xa2\xca\x96\x73\xee" - } - -- Example 8.6 - , VectorPSS - { message = "\x0e\xa3\x7d\xf9\xa6\xfe\xa4\xa8\xb6\x10\x37\x3c\x24\xcf\x39\x0c\x20\xfa\x6e\x21\x35\xc4\x00\xc8\xa3\x4f\x5c\x18\x3a\x7e\x8e\xa4\xc9\xae\x09\x0e\xd3\x17\x59\xf4\x2d\xc7\x77\x19\xcc\xa4\x00\xec\xdc\xc5\x17\xac\xfc\x7a\xc6\x90\x26\x75\xb2\xef\x30\xc5\x09\x66\x5f\x33\x21\x48\x2f\xc6\x9a\x9f\xb5\x70\xd1\x5e\x01\xc8\x45\xd0\xd8\xe5\x0d\x2a\x24\xcb\xf1\xcf\x0e\x71\x49\x75\xa5\xdb\x7b\x18\xd9\xe9\xe9\xcb\x91\xb5\xcb\x16\x86\x90\x60\xed\x18\xb7\xb5\x62\x45\x50\x3f\x0c\xaf\x90\x35\x2b\x8d\xe8\x1c\xb5\xa1\xd9\xc6\x33\x60\x92\xf0\xcd" - , salt = "\x76\xfd\x4e\x64\xfd\xc9\x8e\xb9\x27\xa0\x40\x3e\x35\xa0\x84\xe7\x6b\xa9\xf9\x2a" - , signature = "\x1e\xd1\xd8\x48\xfb\x1e\xdb\x44\x12\x9b\xd9\xb3\x54\x79\x5a\xf9\x7a\x06\x9a\x7a\x00\xd0\x15\x10\x48\x59\x3e\x0c\x72\xc3\x51\x7f\xf9\xff\x2a\x41\xd0\xcb\x5a\x0a\xc8\x60\xd7\x36\xa1\x99\x70\x4f\x7c\xb6\xa5\x39\x86\xa8\x8b\xbd\x8a\xbc\xc0\x07\x6a\x2c\xe8\x47\x88\x00\x31\x52\x5d\x44\x9d\xa2\xac\x78\x35\x63\x74\xc5\x36\xe3\x43\xfa\xa7\xcb\xa4\x2a\x5a\xaa\x65\x06\x08\x77\x91\xc0\x6a\x8e\x98\x93\x35\xae\xd1\x9b\xfa\xb2\xd5\xe6\x7e\x27\xfb\x0c\x28\x75\xaf\x89\x6c\x21\xb6\xe8\xe7\x30\x9d\x04\xe4\xf6\x72\x7e\x69\x46\x3e" - } - ] - -doSignTest key i vector = testCase (show i) (Right (signature vector) @=? actual) - where actual = PSS.signWithSalt (salt vector) Nothing PSS.defaultPSSParamsSHA1 key (message vector) - -doVerifyTest key i vector = testCase (show i) (True @=? actual) - where actual = PSS.verify PSS.defaultPSSParamsSHA1 (private_pub key) (message vector) (signature vector) - -pssTests = testGroup "RSA-PSS" - [ testGroup "signature internal" - [ doSignTest rsaKeyInt katZero vectorInt ] - , testGroup "verify internal" - [ doVerifyTest rsaKeyInt katZero vectorInt ] - , testGroup "signature key 1024" $ zipWith (doSignTest rsaKey1) [katZero..] vectorsKey1 - , testGroup "verify key 1024" $ zipWith (doVerifyTest rsaKey1) [katZero..] vectorsKey1 - , testGroup "signature key 1025" $ zipWith (doSignTest rsaKey2) [katZero..] vectorsKey2 - , testGroup "verify key 1025" $ zipWith (doVerifyTest rsaKey2) [katZero..] vectorsKey2 - , testGroup "signature key 1026" $ zipWith (doSignTest rsaKey3) [katZero..] vectorsKey3 - , testGroup "verify key 1026" $ zipWith (doVerifyTest rsaKey3) [katZero..] vectorsKey3 - , testGroup "signature key 1031" $ zipWith (doSignTest rsaKey8) [katZero..] vectorsKey8 - , testGroup "verify key 1031" $ zipWith (doVerifyTest rsaKey8) [katZero..] vectorsKey8 - ] diff --git a/tests/KAT_PubKey/RSA.hs b/tests/KAT_PubKey/RSA.hs deleted file mode 100644 --- a/tests/KAT_PubKey/RSA.hs +++ /dev/null @@ -1,102 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_PubKey.RSA (rsaTests) where - -import qualified Crypto.PubKey.RSA as RSA -import qualified Crypto.PubKey.RSA.PKCS15 as RSA -import Crypto.Hash - -import Imports - -import Data.Either (isRight) - -data VectorRSA = VectorRSA - { size :: Int - , msg :: ByteString - , n :: Integer - , e :: Integer - , d :: Integer - , p :: Integer - , q :: Integer - , dP :: Integer - , dQ :: Integer - , qinv :: Integer - , sig :: Either RSA.Error ByteString - } - -vectorsSHA1 = - [ VectorRSA - { size = 2048 `div` 8 - , msg = "The quick brown fox jumps over the lazy dog" - , n = 0x00c896c245fcca81775346c5f4f958229cab1aee08196dab4ee5959018b856aab93e4486f37a32da1a6804403c88473ecf9f1b9266fc682400d45329b6ec195710c98d9ba728bc09d767e7e9d9b8b102c3b7e7529b87f649a2a5ebe165da21863ec7842de600a834a8be2227bc989145b52f84ba685d45484a3d530745598a5d8a9e7551b3278bf139a770929f776aed5d43559205fe937df93eeb8ff3fb3f2ce22d4b8a5c17aeafd19758ac5e6251df09ef6a2858e8558a7f476dde4efe859ff2fcb97767614563033fd1d2d300196b1abf256f7badb16c17def3804946d1bf9cd51760176b41bbd506b44ff2bfe5bcd5052180da3cfbbc6cd6f662c06a8baed9 - , e = 0x10001 - , d = 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 - , p = 0x00f85bfcfe55af59445f21f67ab1d8617d1f84360556eeb660d5c466f29e4d2228f9cc3fde4c594ea97069a19c666b68b6d905b65738ae63de6c11f9181ee9262313e5165591651bb3abec192abbc8c3694550bcffa451a2e2d1976bf3ecbc4480354f8d8646133298156aaa626b8807c5295850f93686400835466b6a5ccec61b - , q = 0x00cec28b22b1d37c6c60d25e9747cb1bebd1270f0306db56ed8533f392d6a0cfe6b3dde13789758cf89febac214ba96667e46599f89ca210dced550ca6092a854ff95dff80ea48ff1a83455f4bb93f2ececa782da03b85a789239e8be5264130628724ceab57c8f76e4c7e822bf4fbf334c7d32610bec65047433e0e3b636afe1b - , dP = 0x52fe0a50c339514f33ab19be6e67ac4c2f97f2a55e236ef674f8a89e329ffbe64d731f749d76ca7e7c7e0fef3f9a6ce78d260784a600408736fdda8b60e8f0419088612a3ee7d695f7c171b78200d8abf8e9bdfe7f5e785beb45fa610c9eed151abb76c383ef2e5cfbeb24fcb68a426e741e7b108c53d859e5d39e5970a1f839 - , dQ = 0x39ef91853b47038a6ae707d2642fa9b73e782f60adbf307085eeb4c5e496532b56234a4481a40ac870275da846c74506bf9d28b3dd501c618baf5548013185018fe2a301c0a48bb726297e367dc6129ba7685d8094ad32f0dea64295074f24fbb6dabd7e8daea686a5b09d512be89d91a09cae01eb332eb389480e3cddf2d119 - , qinv = 0x09ce1fa29008ef4b9798e5b8ec213dbdfec4fab4403ebf4b8786ad401ef33bc880c40a990b0826f72415192a206a504b27d2ba45ca555706200ea8e7a9b42d4077e9e6e0d80d4144966c53a36d23d30d987322dcc0013efe8df3b6b5914a2ceefc22cc5de6d569731794e9894f18f11d36a79558dc4c3ae5db1ce9bd05e7bf2e - , sig = Right "\x56\x66\x99\x0f\xd4\xea\x2b\xe0\x6d\x46\x3b\x10\x99\x5b\x06\x32\x5e\xec\x29\xfe\xa4\x63\x4d\x54\xf6\x31\x74\x5d\x01\x5a\x67\x09\x2e\xa7\x02\x8a\x48\x00\x3c\x0d\xef\x04\xe7\x52\x46\xe0\xfa\xb1\x42\x26\x89\xe7\xec\x25\x44\x76\xa0\x86\x33\xb0\xbe\x22\x17\x88\x9b\x18\x4d\x3e\xc2\x9b\xd4\x61\x2b\x9e\xde\x08\x56\xf8\xd5\xee\xb8\x38\xf4\x3d\xda\x9a\xbb\x34\x58\x87\x71\x1d\x1a\x7e\xc7\x3d\x46\x39\x01\x79\x29\x8b\xa4\xcd\xce\xd7\xab\xcb\x2e\x94\x5c\xfd\x54\xcc\xef\x80\x31\xfc\x5e\x8f\xc2\x4d\x76\x1e\x4c\xbc\x50\x7a\x9b\x08\xae\x85\xeb\x6a\xe0\x80\xdc\xff\x60\x13\xb0\x31\x94\x14\x9d\x8f\x9f\x48\x38\xcf\x4c\x82\x9d\x3b\x68\xc6\xe4\xe9\x5d\x94\x74\xa2\xac\x1f\xb9\x84\x41\x86\x11\xeb\x2c\x50\x64\xd7\x00\xe0\x85\x21\x5a\xd7\xae\x9b\x4c\x8e\x6a\x92\x97\xac\xcc\xb8\x38\x4f\x41\xb9\x3d\xa9\xfe\x69\x8b\x04\x81\xad\xfb\x0f\x49\x74\xfe\x26\x9c\x86\x0c\xf3\xd1\x8e\xa1\xb5\xaf\xef\x85\x3d\xfe\xd0\x7c\xcf\x18\xe4\x0f\x14\x99\xea\x93\x61\x79\x16\xbf\x38\xac\xa2\xa2\xac\xac\x2d\xae\x21\x85\x71\x94\xda\x5d\xa1\x82\xa8\x76\x82\xe5\x2f" - } - , VectorRSA - { size = 360 `div` 8 - , msg = "The quick brown fox jumps over the lazy dog" - , n = 0x00bc2d7481c83c8be55da4caeaf1a30dbf9a1226ba7443c0a66213180d3eb8e29c3162401b7be067dff8f571a8eb - , e = 0x10001 - , d = 0x726fb62d82c707507a2d5055a6934136270d28ce350c3a36d89066e26fb54f5b33da0bc9a05c2084f2b39be4e1 - , p = 0x0e3ff89e1f95a461c9f5ee480fd7b13529a225f3ee07fb - , q = 0x0d349ebc89329b493c03451ad20155de9775df55c55fd1 - , dP = 0x00943adef9fb93a561967bab33f198c2c7414e777df997 - , dQ = 0x078de99ceb5392f7f327dfb97717a27ae2e4606dddaa71 - , qinv = 0x0c54d59eaa029844fb3fe33a180161590b1cb103cc668e - , sig = Left RSA.SignatureTooLong - } - , VectorRSA - { size = 368 `div` 8 - , msg = "The quick brown fox jumps over the lazy dog" - , n = 0x009cff2fd20246e390d6860b48a3926e83086d1386f7147e9f195623cf8f18546ceb20d428b77e0748864c8f611cb7 - , e = 0x10001 - , d = 0x0097706cbf6624dd448c3a36ce35c27d49762a4948ca33804178d2ff826f8d336aaed622801c8d76d442be371da841 - , p = 0x00d12519f81441069ab1a86c38e0065e9578a46e655d5a17 - , q = 0x00c02b485ac3ee241d57b6b282f830d7d5bf6f4de75c1661 - , dP = 0x00a1af4611444f34f4d88d7504cf23fd711e70382c42ec07 - , dQ = 0x04226a4219a90bf9dda33e9ff6bb0649c0fea20c723cc1 - , qinv = 0x5dd87bf3c1e295dcc8602859a7cd74f05a2fe91a9d5877 - , sig = Right "\x51\xe4\xdd\x98\xee\xd5\x06\xef\x7a\xa5\x3c\xaf\x29\x33\xa4\x91\xfa\x8b\xb8\x09\xcf\x3e\xa1\x64\x92\x71\xad\x7b\x3a\x83\xb2\xa0\x77\x94\x4e\x59\xdf\x69\x58\x2e\xc8\x8d\xa0\x70\xfe\x7d" - } - ] - -vectorToPrivate :: VectorRSA -> RSA.PrivateKey -vectorToPrivate vector = RSA.PrivateKey - { RSA.private_pub = vectorToPublic vector - , RSA.private_d = d vector - , RSA.private_p = p vector - , RSA.private_q = q vector - , RSA.private_dP = dP vector - , RSA.private_dQ = dQ vector - , RSA.private_qinv = qinv vector - } - -vectorToPublic :: VectorRSA -> RSA.PublicKey -vectorToPublic vector = RSA.PublicKey - { RSA.public_size = size vector - , RSA.public_n = n vector - , RSA.public_e = e vector - } - -vectorHasSignature :: VectorRSA -> Bool -vectorHasSignature = isRight . sig - -doSignatureTest i vector = testCase (show i) (expected @=? actual) - where expected = sig vector - actual = RSA.sign Nothing (Just SHA1) (vectorToPrivate vector) (msg vector) - -doVerifyTest i vector = testCase (show i) (True @=? actual) - where actual = RSA.verify (Just SHA1) (vectorToPublic vector) (msg vector) bs - Right bs = sig vector - -rsaTests = testGroup "RSA" - [ testGroup "SHA1" - [ testGroup "signature" $ zipWith doSignatureTest [katZero..] vectorsSHA1 - , testGroup "verify" $ zipWith doVerifyTest [katZero..] $ filter vectorHasSignature vectorsSHA1 - ] - ] diff --git a/tests/KAT_PubKey/Rabin.hs b/tests/KAT_PubKey/Rabin.hs deleted file mode 100644 --- a/tests/KAT_PubKey/Rabin.hs +++ /dev/null @@ -1,145 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_PubKey.Rabin (rabinTests) where - -import qualified Data.ByteString as B - -import Crypto.Hash -import Crypto.Number.Serialize (os2ip) -import qualified Crypto.PubKey.Rabin.Basic as BRabin -import qualified Crypto.PubKey.Rabin.Modified as MRabin -import qualified Crypto.PubKey.Rabin.OAEP as OAEP -import qualified Crypto.PubKey.Rabin.RW as RW - -import Imports - -basicRabinKey = BRabin.PrivateKey - { BRabin.private_pub = BRabin.PublicKey - { BRabin.public_n = 0xc9c4b0df9db989d93df4137fc2de2a9cee2610523f7a450ecbbf252babe98fba2f8e389c3e420c081e18f584c5746ca43f77f6af1fc79161f8bf8fbcb9564779986ecbe656dd16740cb8e399c33ff1dcc679e73c9c98a58c65a8673b7de57290a2d3191cb27e29d627f7ec6e874b1406051ffe9181e4d90d1b487b100ad30685 - , BRabin.public_size = 128 - } - , BRabin.private_p = 0xe071f231ab5912285a1f8db199795f5efdea4c32f646a3436eaec091ba853a3092216f26b539bbac1fe2ab2e4fbb20aad272a434a1e909bf6d3028aecae2a7b7 - , BRabin.private_q = 0xe6229470dc7da58bfcd962f1b3ddcf52304efbfb91d31c8ed84dbae2380c1ad2e338a523b4250863a689b3f262f949bd7a9f1a603c36634bb932dd71bf5daba3 - , BRabin.private_a = 0x65956653f711a63b776ce45862d4cd78f1ad7b1f8ed118bb8b5ea5fffd59762da5dc7c5298e236a8e45d5c93477cbc51f214b1cd1a4980eda859c1cb05e55666 - , BRabin.private_b = -0x63126dd9c5d6b5215f62012885570e1306b6a47ec1c46553f3b13ceae869149d14544438dbb976800cd62fbb52266f9a6405bc91f192a462c974bc8a6f832e03 - } - -modifiedRabinKey = MRabin.PrivateKey - { MRabin.private_pub = MRabin.PublicKey - { MRabin.public_n = 0x9461a6e7c55cb610f20fd9af5d642404a63332a8d7c4fe7aa559cbcaec691e7216eed5d9322cb6a8619c220a0241b44e0d0a7cefda01fb84e59722b4e842ab5e190d214424bbdfed6d523426fc57a28045dfbb6e8159123077c542c0278ee2daf2d8993e286bf709a10a948da6b13008441581a22233f0ad3d5ebc5858ff7be5 - , MRabin.public_size = 128 - } - , MRabin.private_p = 0xc401e0ddbe565a8797292389bebb561c35eb019116ba25cc6c865a8d3d7bc599626ddf0bc4f575c22f89144fe99fc3300dd497ec2b7acc0221e729a61756b3f3 - , MRabin.private_q = 0xc1cc0e35f23f5086691a18c755881e3fe6937581948b109f47605b45d055e7b352e19ff729dfb33fbecb1d28b115e590449e5e4e228ab1876d889d3d41d87ec7 - , MRabin.private_d = 0x128c34dcf8ab96c21e41fb35ebac848094c666551af89fcf54ab39795d8d23ce42dddabb264596d50c33844140483689c1a14f9dfb403f709cb2e4569d08556b9267e6460e84c69beda1defabd0285c4852c288b7ac27b78987bd19da337a6b1c7b123476732d9c0f656cc62a17f70e8fe34516cfa85ce6475bddeae9ffa0926 - } - -rwKey = RW.PrivateKey - { RW.private_pub = RW.PublicKey - { RW.public_n = 0x992db4c84564c68d4ee2fe0903d938b41e83bcac48dfe8f2219ccee2ccbdefda4cbeea9f1c98a515c5f39a458f5ea11bca97102aaa3d9ac69e000093024e7b968359287cdf57bdacff5df1893df3539c7e358f037d49b5c6ae7110ab8117220c73b6265987039c2c97078fccacdd3f5a560aff5076fdc3958c532db28ab9a855 - , RW.public_size = 128 - } - , RW.private_p = 0xc144dd739c45397d61868ca944a9729a7ad34cf90466c8f5c98a88f5ab5e3288bcfd31d4af1d441d23a756a60abd4cf05c3e0b0053eb150166a327ae31e9347b - , RW.private_q = 0xcae5a381f25a27ae2c359068753118fc384471cd6027e88b8b910306fb940781261089259a3c569546677aebd268704c767a071dbd4f50cb9f15fe448788856f - , RW.private_d = 0x1325b69908ac98d1a9dc5fc1207b271683d07795891bfd1e443399dc5997bdfb4997dd53e39314a2b8be7348b1ebd4237952e2055547b358d3c000126049cf729ee5d4f0ea170b902e343a8ef0831900b963ba07a3176088ab2ab095db449d0052150d6be7b5402f459f17c759f6f043b06a5da64cb86bb910d340f7fa28fdce - } - -data EncryptionVector = EncryptionVector - { seed :: ByteString - , plainText :: ByteString - , cipherText :: ByteString - } - -data SignatureVector = SignatureVector - { message :: ByteString - , padding :: ByteString - , signature :: Integer - } - -basicRabinEncryptionVectors = - [ EncryptionVector - { plainText = "\x75\x0c\x40\x47\xf5\x47\xe8\xe4\x14\x11\x85\x65\x23\x29\x8a\xc9\xba\xe2\x45\xef\xaf\x13\x97\xfb\xe5\x6f\x9d\xd5" - , seed = "\x0c\xc7\x42\xce\x4a\x9b\x7f\x32\xf9\x51\xbc\xb2\x51\xef\xd9\x25\xfe\x4f\xe3\x5f" - , cipherText = "\xaf\xc7\x03\xe3\x9d\x2f\x81\xc6\x3a\x80\x2a\xd1\x44\x26\x3f\x17\x0c\x0a\xe6\x48\x68\x98\x23\x14\x8f\x95\xd2\xce\xbb\xe7\x3f\x49\x34\x76\x1d\x99\x30\x7b\xeb\x84\xe5\x2a\x10\xd2\x1e\x11\x7e\x65\xe8\x88\x24\xc1\x12\xeb\x19\x0d\x97\xcd\x12\x25\x6b\x1f\x9b\x0c\x40\x40\xa3\x47\x00\xb7\x11\xf8\x50\x08\x51\x79\xe8\x1b\xd1\x77\xe0\x99\xa7\xe1\x5c\x63\xda\x29\xc7\xde\x28\x5d\x60\xed\x8e\xb2\x12\xd4\xfe\xb8\x1a\x5d\x17\x65\x80\x62\x6e\x65\x5c\x37\x07\x1c\xfa\xff\xe6\x21\xa5\x9f\xcd\x6a\x6a\xce\xa6\x96\xb2\xc5\x08\xe6" - } - ] - -basicRabinSignatureVectors = - [ SignatureVector - { message = "\x75\x0c\x40\x47\xf5\x47\xe8\xe4\x14\x11\x85\x65\x23\x29\x8a\xc9\xba\xe2\x45\xef\xaf\x13\x97\xfb\xe5\x6f\x9d\xd5" - , padding = "\xe9\x87\x17\x15\xa2\xe4\x30\x15" - , signature = 0xac95807bdd03ca975690151d39d23d75e5db2731c4ba30b83c3f3ea74709e4d4e340d7dab952356a76c9b8705b214e28d59f5bdc7c7fdff4e104569e30359b5c65c2dcd5b94db58505cd8b188267121700beebd7edbee492e374514646471b5c3fa252a2580dc7343f455683815d6d7c590dd3bcaa7df41d8b08197ccb183408 - } - ] - -modifiedRabinSignatureVectors = - [ SignatureVector - { message = "\x75\x0c\x40\x47\xf5\x47\xe8\xe4\x14\x11\x85\x65\x23\x29\x8a\xc9\xba\xe2\x45\xef\xaf\x13\x97\xfb\xe5\x6f\x9d\xd5" - , padding = B.empty -- not used - , signature = 0x278c7c269119218ab7f501ea53a97ab15a3a5a263c6daed8980abec78291e9729e0e3457731cdea8ec31a7566e93d10fc9b2615fe3e54f4533a5506ac24a3bd286e270324e538066f0ddf503f9b5e0c18e18379659834906ebd99c0d31588c66e70fc653bc8865b9239999cbd35704917d8647d1199286c533233e3e03582dd - } - ] - -rwEncryptionVectors = - [ EncryptionVector - { plainText = "\x75\x0c\x40\x47\xf5\x47\xe8\xe4\x14\x11\x85\x65\x23\x29\x8a\xc9\xba\xe2\x45\xef\xaf\x13\x97\xfb\xe5\x6f\x9d\xd5" - , seed = "\x0c\xc7\x42\xce\x4a\x9b\x7f\x32\xf9\x51\xbc\xb2\x51\xef\xd9\x25\xfe\x4f\xe3\x5f" - , cipherText = "\x40\xc2\xe3\x36\xac\x46\x72\x8a\xaf\x33\x75\xe1\x27\xd0\x38\x40\xe2\x24\x4e\x20\xa7\x5d\x85\xd3\x74\x81\x21\xfd\xc9\x40\x90\x80\x8c\xed\x2d\xd3\x5b\xc4\xb7\xc9\x7c\x80\xa5\x2f\x63\x86\x34\x4e\x8c\x92\x07\x86\x9e\xda\xfd\xf8\x11\x83\x8a\x5a\x23\xc1\xe6\x77\x37\x5d\xf9\x5c\x60\xd1\x6d\xfd\x0c\x54\xd1\x00\xe9\xab\x97\x6d\x8e\x83\x8b\x6e\x1a\x38\x73\x43\xe2\x24\xc2\xe2\x4e\x74\x3f\xe4\x4d\xdd\x27\xed\xc7\x72\x88\xd3\x0f\x93\xb3\xdb\xa2\xb7\xaf\x6d\xe9\xab\x76\x53\x63\xf9\x62\xd7\x52\x44\x61\x60\x5d\x2e\x9b\xf7" - } - ] - -rwSignatureVectors = - [ SignatureVector - { message = "\x75\x0c\x40\x47\xf5\x47\xe8\xe4\x14\x11\x85\x65\x23\x29\x8a\xc9\xba\xe2\x45\xef\xaf\x13\x97\xfb\xe5\x6f\x9d\xd5" - , padding = B.empty -- not used - , signature = 0x1e57b554a8e83aacd9d4067f9535991e7db47803250cded5cc8af5458a6bb11fea852139e0afe143f9339dd94a518e354e702134d1ae222460127829d92e8bf6441336f5ae7044ec7b6c3ad8b9aeeb1ea02a49798e020cb5b558120bbb51f060eb1608ba68f90cac7edb1051c177d3bdbb99d1ad92e8d75d6f72f1d06f1d25be - } - ] - -doBasicRabinEncryptTest key i vector = testCase (show i) (Right (cipherText vector) @=? actual) - where actual = BRabin.encryptWithSeed (seed vector) (OAEP.defaultOAEPParams SHA1) key (plainText vector) - -doBasicRabinDecryptTest key i vector = testCase (show i) (Just (plainText vector) @=? actual) - where actual = BRabin.decrypt (OAEP.defaultOAEPParams SHA1) key (cipherText vector) - -doBasicRabinSignTest key i vector = testCase (show i) (Right (BRabin.Signature ((os2ip $ padding vector), (signature vector))) @=? actual) - where actual = BRabin.signWith (padding vector) key SHA1 (message vector) - -doBasicRabinVerifyTest key i vector = testCase (show i) (True @=? actual) - where actual = BRabin.verify key SHA1 (message vector) (BRabin.Signature ((os2ip $ padding vector), (signature vector))) - -doModifiedRabinSignTest key i vector = testCase (show i) (Right (signature vector) @=? actual) - where actual = MRabin.sign key SHA1 (message vector) - -doModifiedRabinVerifyTest key i vector = testCase (show i) (True @=? actual) - where actual = MRabin.verify key SHA1 (message vector) (signature vector) - -doRwEncryptTest key i vector = testCase (show i) (Right (cipherText vector) @=? actual) - where actual = RW.encryptWithSeed (seed vector) (OAEP.defaultOAEPParams SHA1) key (plainText vector) - -doRwDecryptTest key i vector = testCase (show i) (Just (plainText vector) @=? actual) - where actual = RW.decrypt (OAEP.defaultOAEPParams SHA1) key (cipherText vector) - -doRwSignTest key i vector = testCase (show i) (Right (signature vector) @=? actual) - where actual = RW.sign key SHA1 (message vector) - -doRwVerifyTest key i vector = testCase (show i) (True @=? actual) - where actual = RW.verify key SHA1 (message vector) (signature vector) - -rabinTests = testGroup "Rabin" - [ testGroup "Basic" - [ testGroup "encrypt" $ zipWith (doBasicRabinEncryptTest $ BRabin.private_pub basicRabinKey) [katZero..] basicRabinEncryptionVectors - , testGroup "decrypt" $ zipWith (doBasicRabinDecryptTest basicRabinKey) [katZero..] basicRabinEncryptionVectors - , testGroup "sign" $ zipWith (doBasicRabinSignTest basicRabinKey) [katZero..] basicRabinSignatureVectors - , testGroup "verify" $ zipWith (doBasicRabinVerifyTest $ BRabin.private_pub basicRabinKey) [katZero..] basicRabinSignatureVectors - ] - , testGroup "Modified" - [ testGroup "sign" $ zipWith (doModifiedRabinSignTest modifiedRabinKey) [katZero..] modifiedRabinSignatureVectors - , testGroup "verify" $ zipWith (doModifiedRabinVerifyTest $ MRabin.private_pub modifiedRabinKey) [katZero..] modifiedRabinSignatureVectors - ] - , testGroup "RW" - [ testGroup "encrypt" $ zipWith (doRwEncryptTest $ RW.private_pub rwKey) [katZero..] rwEncryptionVectors - , testGroup "decrypt" $ zipWith (doRwDecryptTest rwKey) [katZero..] rwEncryptionVectors - , testGroup "sign" $ zipWith (doRwSignTest rwKey) [katZero..] rwSignatureVectors - , testGroup "verify" $ zipWith (doRwVerifyTest $ RW.private_pub rwKey) [katZero..] rwSignatureVectors - ] - ] diff --git a/tests/KAT_RC4.hs b/tests/KAT_RC4.hs deleted file mode 100644 --- a/tests/KAT_RC4.hs +++ /dev/null @@ -1,34 +0,0 @@ -{-# LANGUAGE ViewPatterns #-} -{-# LANGUAGE OverloadedStrings #-} -module KAT_RC4 where - -import Test.Tasty -import Test.Tasty.HUnit - -import Data.ByteString (ByteString) -import Data.ByteString.Char8 () -import qualified Crypto.Cipher.RC4 as RC4 - --- taken from wikipedia pages -vectors :: [(ByteString, ByteString, ByteString)] -vectors = - [ ("Key" - ,"Plaintext" - ,"\xBB\xF3\x16\xE8\xD9\x40\xAF\x0A\xD3" - ) - , ("Wiki" - ,"pedia" - ,"\x10\x21\xBF\x04\x20" - ) - , ("Secret" - ,"Attack at dawn" - ,"\x45\xA0\x1F\x64\x5F\xC3\x5B\x38\x35\x52\x54\x4B\x9B\xF5" - ) - ] - -tests = testGroup "RC4" - $ zipWith toKatTest is vectors - where toKatTest i (key, plainText, cipherText) = - testCase (show i) (cipherText @=? snd (RC4.combine (RC4.initialize key) plainText)) - is :: [Int] - is = [1..] diff --git a/tests/KAT_Scrypt.hs b/tests/KAT_Scrypt.hs deleted file mode 100644 --- a/tests/KAT_Scrypt.hs +++ /dev/null @@ -1,33 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module KAT_Scrypt (tests) where - -import Data.ByteString (ByteString) -import Data.ByteString.Char8 () - -import Test.Tasty -import Test.Tasty.HUnit -import Data.Word - -import qualified Crypto.KDF.Scrypt as Scrypt - -vectors :: [ ((ByteString, ByteString, Word64, Int, Int, Int), ByteString) ] -vectors = - [ - ( ("", "", 16, 1, 1, 64) - , "\x77\xd6\x57\x62\x38\x65\x7b\x20\x3b\x19\xca\x42\xc1\x8a\x04\x97\xf1\x6b\x48\x44\xe3\x07\x4a\xe8\xdf\xdf\xfa\x3f\xed\xe2\x14\x42\xfc\xd0\x06\x9d\xed\x09\x48\xf8\x32\x6a\x75\x3a\x0f\xc8\x1f\x17\xe8\xd3\xe0\xfb\x2e\x0d\x36\x28\xcf\x35\xe2\x0c\x38\xd1\x89\x06" - ) - , ( ("password", "NaCl", 1024, 8, 16, 64) - , "\xfd\xba\xbe\x1c\x9d\x34\x72\x00\x78\x56\xe7\x19\x0d\x01\xe9\xfe\x7c\x6a\xd7\xcb\xc8\x23\x78\x30\xe7\x73\x76\x63\x4b\x37\x31\x62\x2e\xaf\x30\xd9\x2e\x22\xa3\x88\x6f\xf1\x09\x27\x9d\x98\x30\xda\xc7\x27\xaf\xb9\x4a\x83\xee\x6d\x83\x60\xcb\xdf\xa2\xcc\x06\x40" - ) - , ( ("pleaseletmein", "SodiumChloride", 16384, 8, 1, 64) - , "\x70\x23\xbd\xcb\x3a\xfd\x73\x48\x46\x1c\x06\xcd\x81\xfd\x38\xeb\xfd\xa8\xfb\xba\x90\x4f\x8e\x3e\xa9\xb5\x43\xf6\x54\x5d\xa1\xf2\xd5\x43\x29\x55\x61\x3f\x0f\xcf\x62\xd4\x97\x05\x24\x2a\x9a\xf9\xe6\x1e\x85\xdc\x0d\x65\x1e\x40\xdf\xcf\x01\x7b\x45\x57\x58\x87" - ) - , ( ("pleaseletmein", "SodiumChloride", 1048576, 8, 1, 64) - , "\x21\x01\xcb\x9b\x6a\x51\x1a\xae\xad\xdb\xbe\x09\xcf\x70\xf8\x81\xec\x56\x8d\x57\x4a\x2f\xfd\x4d\xab\xe5\xee\x98\x20\xad\xaa\x47\x8e\x56\xfd\x8f\x4b\xa5\xd0\x9f\xfa\x1c\x6d\x92\x7c\x40\xf4\xc3\x37\x30\x40\x49\xe8\xa9\x52\xfb\xcb\xf4\x5c\x6f\xa7\x7a\x41\xa4" - ) - ] - -tests = testGroup "Scrypt" - $ zipWith toCase [(1::Int)..] vectors - where toCase i ((pass,salt,n,r,p,dklen), output) = - testCase (show i) (output @=? Scrypt.generate (Scrypt.Parameters n r p dklen) pass salt) diff --git a/tests/KAT_TripleDES.hs b/tests/KAT_TripleDES.hs deleted file mode 100644 --- a/tests/KAT_TripleDES.hs +++ /dev/null @@ -1,12 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -{-# LANGUAGE ViewPatterns #-} -module KAT_TripleDES (tests) where - -import Imports -import BlockCipher -import qualified Crypto.Cipher.TripleDES as TripleDES - -kats = defaultKATs - -tests = localOption (QuickCheckTests 5) - $ testBlockCipher kats (undefined :: TripleDES.DES_EEE3) diff --git a/tests/KAT_Twofish.hs b/tests/KAT_Twofish.hs deleted file mode 100644 --- a/tests/KAT_Twofish.hs +++ /dev/null @@ -1,45 +0,0 @@ -module KAT_Twofish (tests) where - -import Imports -import BlockCipher - -import qualified Data.ByteString as B -import Crypto.Cipher.Twofish - - -vectors_twofish128 = - [ KAT_ECB (B.replicate 16 0x00) (B.replicate 16 0x00) (B.pack [0x9F,0x58,0x9F,0x5C,0xF6,0x12,0x2C,0x32,0xB6,0xBF,0xEC,0x2F,0x2A,0xE8,0xC3,0x5A]) - , KAT_ECB (B.pack [0x9F,0x58,0x9F,0x5C,0xF6,0x12,0x2C,0x32,0xB6,0xBF,0xEC,0x2F,0x2A,0xE8,0xC3,0x5A]) - (B.pack [0xD4, 0x91, 0xDB, 0x16, 0xE7, 0xB1, 0xC3, 0x9E, 0x86, 0xCB, 0x08, 0x6B, 0x78, 0x9F, 0x54, 0x19]) - (B.pack [0x01, 0x9F, 0x98, 0x09, 0xDE, 0x17, 0x11, 0x85, 0x8F, 0xAA, 0xC3, 0xA3, 0xBA, 0x20, 0xFB, 0xC3]) - ] - -vectors_twofish192 = - [ KAT_ECB (B.pack [0x01, 0x23, 0x45, 0x67, 0x89, 0xAB, 0xCD, 0xEF, 0xFE, 0xDC, 0xBA, 0x98, 0x76, 0x54, 0x32, 0x10, - 0x00, 0x11, 0x22, 0x33, 0x44, 0x55, 0x66, 0x77]) - (B.pack [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]) - (B.pack [0xCF, 0xD1, 0xD2, 0xE5, 0xA9, 0xBE, 0x9C, 0xDF, 0x50, 0x1F, 0x13, 0xB8, 0x92, 0xBD, 0x22, 0x48]) - , KAT_ECB (B.pack [0x88, 0xB2, 0xB2, 0x70, 0x6B, 0x10, 0x5E, 0x36, 0xB4, 0x46, 0xBB, 0x6D, 0x73, 0x1A, 0x1E, 0x88, - 0xEF, 0xA7, 0x1F, 0x78, 0x89, 0x65, 0xBD, 0x44]) - (B.pack [0x39, 0xDA, 0x69, 0xD6, 0xBA, 0x49, 0x97, 0xD5, 0x85, 0xB6, 0xDC, 0x07, 0x3C, 0xA3, 0x41, 0xB2]) - (B.pack [0x18, 0x2B, 0x02, 0xD8, 0x14, 0x97, 0xEA, 0x45, 0xF9, 0xDA, 0xAC, 0xDC, 0x29, 0x19, 0x3A, 0x65])] - -vectors_twofish256 = - [ KAT_ECB (B.pack [0x01, 0x23, 0x45, 0x67, 0x89, 0xAB, 0xCD, 0xEF, 0xFE, 0xDC, 0xBA, 0x98, 0x76, 0x54, 0x32, 0x10, - 0x00, 0x11, 0x22, 0x33, 0x44, 0x55, 0x66, 0x77, 0x88, 0x99, 0xAA, 0xBB, 0xCC, 0xDD, 0xEE, 0xFF]) - (B.pack [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]) - (B.pack [0x37, 0x52, 0x7B, 0xE0, 0x05, 0x23, 0x34, 0xB8, 0x9F, 0x0C, 0xFC, 0xCA, 0xE8, 0x7C, 0xFA, 0x20]) - , KAT_ECB (B.pack [0xD4, 0x3B, 0xB7, 0x55, 0x6E, 0xA3, 0x2E, 0x46, 0xF2, 0xA2, 0x82, 0xB7, 0xD4, 0x5B, 0x4E, 0x0D, - 0x57, 0xFF, 0x73, 0x9D, 0x4D, 0xC9, 0x2C, 0x1B, 0xD7, 0xFC, 0x01, 0x70, 0x0C, 0xC8, 0x21, 0x6F]) - (B.pack [0x90, 0xAF, 0xE9, 0x1B, 0xB2, 0x88, 0x54, 0x4F, 0x2C, 0x32, 0xDC, 0x23, 0x9B, 0x26, 0x35, 0xE6]) - (B.pack [0x6C, 0xB4, 0x56, 0x1C, 0x40, 0xBF, 0x0A, 0x97, 0x05, 0x93, 0x1C, 0xB6, 0xD4, 0x08, 0xE7, 0xFA])] - -kats128 = defaultKATs { kat_ECB = vectors_twofish128 } -kats192 = defaultKATs { kat_ECB = vectors_twofish192 } -kats256 = defaultKATs { kat_ECB = vectors_twofish256 } - -tests = testGroup "Twofish" - [ testBlockCipher kats128 (undefined :: Twofish128) - , testBlockCipher kats192 (undefined :: Twofish192) - , testBlockCipher kats256 (undefined :: Twofish256) ] - diff --git a/tests/KDF/Argon2Spec.hs b/tests/KDF/Argon2Spec.hs new file mode 100644 --- /dev/null +++ b/tests/KDF/Argon2Spec.hs @@ -0,0 +1,91 @@ +{-# LANGUAGE OverloadedStrings #-} + +module KDF.Argon2Spec (spec) where + +import Control.Exception (evaluate) +import Crypto.Error +import qualified Crypto.KDF.Argon2 as Argon2 +import qualified Data.ByteString as B +import Imports + +data KDFVector = KDFVector + { kdfPass :: ByteString + , kdfSalt :: ByteString + , kdfOptions :: Argon2.Options + , kdfResult :: ByteString + } + +argon2i_13 :: Argon2.TimeCost -> Argon2.MemoryCost -> Argon2.Options +argon2i_13 iters memory = + Argon2.Options + { Argon2.iterations = iters + , Argon2.memory = memory + , Argon2.parallelism = 1 + , Argon2.variant = Argon2.Argon2i + , Argon2.version = Argon2.Version13 + } + +vectors = + [ KDFVector + "password" + "somesalt" + (argon2i_13 2 65536) + "\xc1\x62\x88\x32\x14\x7d\x97\x20\xc5\xbd\x1c\xfd\x61\x36\x70\x78\x72\x9f\x6d\xfb\x6f\x8f\xea\x9f\xf9\x81\x58\xe0\xd7\x81\x6e\xd0" + ] + +kdfTests :: [Spec] +kdfTests = zipWith toKDFTest is vectors + where + toKDFTest i v = + it + (show i) + ( Argon2.hash (kdfOptions v) (kdfPass v) (kdfSalt v) (B.length $ kdfResult v) + `shouldBe` CryptoPassed (kdfResult v) + ) + + is :: [Int] + is = [1 ..] + +-- | 'Argon2.hash' returns a 'CryptoFailable', but the bounds on iterations, +-- memory and parallelism are only enforced by the C implementation, whose +-- return code was turned into an 'error' raised from inside the allocation. +-- Invalid options have to come back through the failure the type already +-- offers. +-- +-- The bytes are forced, because 'CryptoPassed' holds them lazily; a raise +-- rather than a 'CryptoFailed' therefore fails the example. +outcome :: CryptoFailable ByteString -> IO (Either CryptoError Int) +outcome (CryptoFailed err) = return (Left err) +outcome (CryptoPassed bs) = Right <$> evaluate (B.length bs) + +refuses :: String -> Argon2.Options -> Spec +refuses name options = + it name $ + outcome (Argon2.hash options pass salt outLen) + `shouldReturn` Left CryptoError_ParameterInvalid + +pass :: ByteString +pass = "password" + +salt :: ByteString +salt = "somesalt" + +outLen :: Int +outLen = 32 + +optionTests :: [Spec] +optionTests = + [ it "valid options hash" $ + outcome (Argon2.hash (argon2i_13 2 65536) pass salt outLen) + `shouldReturn` Right outLen + , refuses + "parallelism of 0 is refused" + (argon2i_13 2 65536){Argon2.parallelism = 0} + , refuses "iterations of 0 is refused" (argon2i_13 0 65536) + , refuses "memory below the minimum is refused" (argon2i_13 2 1) + ] + +spec :: Spec +spec = do + describe "KATs" $ sequence_ kdfTests + describe "options" $ sequence_ optionTests diff --git a/tests/KDF/BCryptPBKDFSpec.hs b/tests/KDF/BCryptPBKDFSpec.hs new file mode 100644 --- /dev/null +++ b/tests/KDF/BCryptPBKDFSpec.hs @@ -0,0 +1,235 @@ +{-# LANGUAGE OverloadedStrings #-} + +module KDF.BCryptPBKDFSpec (spec) where + +import qualified Data.ByteString as B + +import Control.Exception (evaluate) +import Test.Hspec + +import Crypto.Error +import Crypto.KDF.BCryptPBKDF ( + Parameters (..), + generate, + tryGenerate, + hashInternal, + tryHashInternal, + ) + +spec :: Spec +spec = do + describe "generate" $ do + it "1" generate1 + it "2" generate2 + it "3" generate3 + describe "hashInternal" $ do + it "1" hashInternal1 + describe "invalid parameters" $ do + it "rejects an iteration count below one" $ + evaluate (run (Parameters 0 32)) `shouldThrow` cryptoError + it "rejects an output length of zero" $ + evaluate (run (Parameters 1 0)) `shouldThrow` cryptoError + it "rejects an output length above 1024" $ + evaluate (run (Parameters 1 1025)) `shouldThrow` cryptoError + it "reports them without raising" $ do + run' (Parameters 0 32) `shouldBe` refused + run' (Parameters 1 0) `shouldBe` refused + run' (Parameters 1 1025) `shouldBe` refused + it "rejects a hashInternal input that is not 512 bits" $ do + evaluate + (hashInternal (B.replicate 63 0x61) (B.replicate 64 0x61) :: B.ByteString) + `shouldThrow` cryptoError + ( tryHashInternal (B.replicate 64 0x61) (B.replicate 63 0x61) + :: CryptoFailable B.ByteString + ) + `shouldBe` refused + where + run params = + generate params ("password" :: B.ByteString) ("salt" :: B.ByteString) + :: B.ByteString + run' params = + tryGenerate params ("password" :: B.ByteString) ("salt" :: B.ByteString) + :: CryptoFailable B.ByteString + refused = CryptoFailed CryptoError_ParameterInvalid + cryptoError e = e == CryptoError_ParameterInvalid + -- test vector taken from the go implementation by @dchest + generate1 = generate params pass salt `shouldBe` expected + where + params = Parameters 12 32 + pass = "password" :: B.ByteString + salt = "salt" :: B.ByteString + expected = + B.pack + [ 0x1a + , 0xe4 + , 0x2c + , 0x05 + , 0xd4 + , 0x87 + , 0xbc + , 0x02 + , 0xf6 + , 0x49 + , 0x21 + , 0xa4 + , 0xeb + , 0xe4 + , 0xea + , 0x93 + , 0xbc + , 0xac + , 0xfe + , 0x13 + , 0x5f + , 0xda + , 0x99 + , 0x97 + , 0x4c + , 0x06 + , 0xb7 + , 0xb0 + , 0x1f + , 0xae + , 0x14 + , 0x9a + ] + :: B.ByteString + + -- test vector generated with the go implemenation by @dchest + generate2 = generate params pass salt `shouldBe` expected + where + params = Parameters 7 71 + pass = "DieWuerdeDesMenschenIstUnantastbar" :: B.ByteString + salt = "Tafelsalz" :: B.ByteString + expected = + B.pack + [ 0x17 + , 0xb4 + , 0x76 + , 0xaa + , 0xd7 + , 0x42 + , 0x33 + , 0x49 + , 0x5c + , 0xe8 + , 0x79 + , 0x49 + , 0x15 + , 0x74 + , 0x4c + , 0x71 + , 0xf9 + , 0x99 + , 0x66 + , 0x89 + , 0x7a + , 0x60 + , 0xc3 + , 0x70 + , 0xb4 + , 0x3c + , 0xa8 + , 0x83 + , 0x80 + , 0x5a + , 0x56 + , 0xde + , 0x38 + , 0xbc + , 0x51 + , 0x8c + , 0xd4 + , 0xeb + , 0xd1 + , 0xcf + , 0x46 + , 0x0a + , 0x68 + , 0x3d + , 0xc8 + , 0x12 + , 0xcf + , 0xf8 + , 0x43 + , 0xce + , 0x21 + , 0x9d + , 0x98 + , 0x81 + , 0x20 + , 0x26 + , 0x6e + , 0x42 + , 0x0f + , 0xaa + , 0x75 + , 0x5d + , 0x09 + , 0x8d + , 0x45 + , 0xda + , 0xd5 + , 0x15 + , 0x6e + , 0x65 + , 0x1d + ] + :: B.ByteString + + -- test vector generated with the go implemenation by @dchest + generate3 = generate params pass salt `shouldBe` expected + where + params = Parameters 5 5 + pass = "ABC" :: B.ByteString + salt = "DEF" :: B.ByteString + expected = + B.pack + [ 0xdd + , 0x6e + , 0xa0 + , 0x69 + , 0x29 + ] + :: B.ByteString + + hashInternal1 = hashInternal passHash saltHash `shouldBe` expected + where + passHash = B.pack [0 .. 63] :: B.ByteString + saltHash = B.pack [64 .. 127] :: B.ByteString + expected = + B.pack + [ 0x87 + , 0x90 + , 0x48 + , 0x70 + , 0xee + , 0xf9 + , 0xde + , 0xdd + , 0xf8 + , 0xe7 + , 0x61 + , 0x1a + , 0x14 + , 0x01 + , 0x06 + , 0xe6 + , 0xaa + , 0xf1 + , 0xa3 + , 0x63 + , 0xd9 + , 0xa2 + , 0xc5 + , 0x04 + , 0xdb + , 0x35 + , 0x64 + , 0x43 + , 0x72 + , 0x1e + , 0xb5 + , 0x55 + ] + :: B.ByteString diff --git a/tests/KDF/BCryptSpec.hs b/tests/KDF/BCryptSpec.hs new file mode 100644 --- /dev/null +++ b/tests/KDF/BCryptSpec.hs @@ -0,0 +1,175 @@ +{-# LANGUAGE OverloadedStrings #-} + +module KDF.BCryptSpec ( + spec, +) +where + +import Control.Exception (evaluate) +import Crypto.Error +import Crypto.KDF.BCrypt +import qualified Data.ByteString as B +import Imports + +-- Openwall bcrypt spec, with 2x versions and 0xFF special cases removed. +expected :: [(ByteString, ByteString)] +expected = + [ ("$2a$05$CCCCCCCCCCCCCCCCCCCCC.E5YPO9kmyuRGyh0XouQYb4YMJKvyOeW", "U*U") + , ("$2a$05$CCCCCCCCCCCCCCCCCCCCC.VGOzA784oUp/Z0DY336zx7pLYAy0lwK", "U*U*") + , ("$2a$05$XXXXXXXXXXXXXXXXXXXXXOAcXxm9kjPGEMsLznoKqmqw7tc8WCx4a", "U*U*U") + , + ( "$2a$05$abcdefghijklmnopqrstuu5s2v8.iXieOjg/.AySBTTZIIVFJeBui" + , "0123456789abcdefghijklmnopqrstuvwxyz\ + \ABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789\ + \chars after 72 are ignored" + ) + , ("$2y$05$/OK.fbVrR/bpIqNJ5ianF.CE5elHaaO4EbggVDjb8P19RukzXSM3e", "\xff\xff\xa3") + , ("$2b$05$/OK.fbVrR/bpIqNJ5ianF.CE5elHaaO4EbggVDjb8P19RukzXSM3e", "\xff\xff\xa3") + , ("$2y$05$/OK.fbVrR/bpIqNJ5ianF.Sa7shbm4.OzKpvFnX1pQLmQW96oUlCq", "\xa3") + , ("$2a$05$/OK.fbVrR/bpIqNJ5ianF.Sa7shbm4.OzKpvFnX1pQLmQW96oUlCq", "\xa3") + , ("$2b$05$/OK.fbVrR/bpIqNJ5ianF.Sa7shbm4.OzKpvFnX1pQLmQW96oUlCq", "\xa3") + , + ( "$2a$05$/OK.fbVrR/bpIqNJ5ianF.swQOIzjOiJ9GHEPuhEkvqrUyvWhEMx6" + , "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\ + \\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\ + \\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\ + \\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\ + \\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\ + \\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\ + \chars after 72 are ignored as usual" + ) + , + ( "$2a$05$/OK.fbVrR/bpIqNJ5ianF.R9xrDjiycxMbQE2bp.vgqlYpW5wx2yy" + , "\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\ + \\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\ + \\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\ + \\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\ + \\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\ + \\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55\xaa\x55" + ) + , + ( "$2a$05$/OK.fbVrR/bpIqNJ5ianF.9tQZzcJfm3uj2NvJ/n5xkhpqLrMpWCe" + , "\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\ + \\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\ + \\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\ + \\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\ + \\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\ + \\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff\x55\xaa\xff" + ) + , ("$2a$05$CCCCCCCCCCCCCCCCCCCCC.7uG0VCzI2bS7j6ymqJi9CdcdxiRTWNy", "") + , ("$2a$06$DCq7YPn5Rq63x1Lad4cll.TV4S6ytwfsfvkgY8jIucDrjc8deX1s.", "") + , ("$2a$08$HqWuK6/Ng6sg9gQzbLrgb.Tl.ZHfXLhvt/SgVyWhQqgqcZ7ZuUtye", "") + , ("$2a$10$k1wbIrmNyFAPwPVPSVa/zecw2BCEnBwVS2GbrmgzxFUOqW9dk4TCW", "") + , ("$2a$12$k42ZFHFWqBp3vWli.nIn8uYyIkbvYRvodzbfbK18SSsY.CsIQPlxO", "") + , ("$2a$06$m0CrhHm10qJ3lXRY.5zDGO3rS2KdeeWLuGmsfGlMfOxih58VYVfxe", "a") + , ("$2a$08$cfcvVd2aQ8CMvoMpP2EBfeodLEkkFJ9umNEfPD18.hUF62qqlC/V.", "a") + , ("$2a$12$8NJH3LsPrANStV6XtBakCez0cKHXVxmvxIlcz785vxAIZrihHZpeS", "a") + , ("$2a$06$If6bvum7DFjUnE9p2uDeDu0YHzrHM6tf.iqN8.yx.jNN1ILEf7h0i", "abc") + , ("$2a$08$Ro0CUfOqk6cXEKf3dyaM7OhSCvnwM9s4wIX9JeLapehKK5YdLxKcm", "abc") + , ("$2a$10$WvvTPHKwdBJ3uk0Z37EMR.hLA2W6N9AEBhEgrAOljy2Ae5MtaSIUi", "abc") + , + ( "$2a$06$.rCVZVOThsIa97pEDOxvGuRRgzG64bvtJ0938xuqzv18d3ZpQhstC" + , "abcdefghijklmnopqrstuvwxyz" + ) + ] + +makeKATs = concatMap maketest (zip3 is passwords hashes) + where + is :: [Int] + is = [1 ..] + + passwords = map snd expected + hashes = map fst expected + + maketest (i, password, hash) = + [ it (show i) (assertBool "" (validatePassword password hash)) + ] + +spec :: Spec +spec = do + describe "KATs" $ sequence_ makeKATs + it + "Invalid hash length" + ( assertEqual + "" + (Left "Invalid hash format") + ( validatePasswordEither + B.empty + ("$2a$06$DCq7YPn5Rq63x1Lad4cll.TV4S6ytwfsfvkgY8jIucDrjc8deX1s" :: B.ByteString) + ) + ) + it + "Hash and validate" + ( assertBool + "Hashed password should validate" + (validatePassword somePassword (bcrypt 5 aSalt somePassword :: B.ByteString)) + ) + describe "salt length" $ do + it "rejects a salt shorter than 16 bytes" $ + evaluate (bcrypt (5 :: Int) (B.replicate 15 0x61) somePassword :: B.ByteString) + `shouldThrow` (== CryptoError_ParameterInvalid) + it "rejects a salt longer than 16 bytes" $ + evaluate (bcrypt (5 :: Int) (B.replicate 17 0x61) somePassword :: B.ByteString) + `shouldThrow` (== CryptoError_ParameterInvalid) + it "reports a wrong salt length without raising" $ + ( tryBcrypt (5 :: Int) (B.replicate 15 0x61) somePassword + :: CryptoFailable B.ByteString + ) + `shouldBe` CryptoFailed CryptoError_ParameterInvalid + describe "cost" $ do + -- What made the old behaviour wrong was not the floor but that it was + -- silent: a request for cost 3 came back as a cost-10 hash and a + -- request for cost 50 as a cost-31 one, with nothing said either way. + it "refuses a cost below the floor rather than substituting one" $ + [ c + | c <- [minBound, -1, 0, 1, 2, 3] + , tryBcrypt c aSalt somePassword + /= (CryptoFailed CryptoError_ParameterInvalid :: CryptoFailable B.ByteString) + ] + `shouldBe` [] + it "refuses a cost above the ceiling rather than substituting one" $ + [ c + | c <- [32, 33, 64, maxBound] + , tryBcrypt c aSalt somePassword + /= (CryptoFailed CryptoError_ParameterInvalid :: CryptoFailable B.ByteString) + ] + `shouldBe` [] + it "raises the same thing through bcrypt" $ + evaluate (bcrypt (3 :: Int) aSalt somePassword :: B.ByteString) + `shouldThrow` (== CryptoError_ParameterInvalid) + it "takes the bottom of the range" $ + validatePassword somePassword (bcrypt (4 :: Int) aSalt somePassword :: B.ByteString) + `shouldBe` True + it "writes the cost it was given, not another one" $ + B.take 7 (bcrypt (4 :: Int) aSalt somePassword :: B.ByteString) + `shouldBe` "$2b$04$" + it "reports it from hashPassword too, without raising" $ do + r <- tryHashPassword (3 :: Int) somePassword + (r :: CryptoFailable B.ByteString) + `shouldBe` CryptoFailed CryptoError_ParameterInvalid + it "hashes through hashPassword when the cost is one bcrypt takes" $ do + h <- hashPassword (4 :: Int) somePassword + validatePassword somePassword (h :: B.ByteString) `shouldBe` True + describe "password length limit" $ do + -- bcrypt keys Blowfish with at most the first 72 bytes of the + -- password, so everything after that is ignored. The Openwall + -- vectors above cover the hash value; these cover what it means for + -- a caller, which is what the haddock now documents. + it "ignores everything after the first 72 bytes" $ + bcrypt 5 aSalt longer `shouldBe` (bcrypt 5 aSalt otherTail :: B.ByteString) + it "accepts a password differing only past the 72nd byte" $ + validatePassword otherTail (bcrypt 5 aSalt longer :: B.ByteString) + `shouldBe` True + it "still separates passwords differing within the first 72 bytes" $ + validatePassword + (B.snoc (B.take 71 prefix72) 0x21) + (bcrypt 5 aSalt longer :: B.ByteString) + `shouldBe` False + where + prefix72 = B.replicate 72 0x61 + longer = prefix72 `B.append` "aaaaaaaaaaaaaaaaaaaa" + otherTail = prefix72 `B.append` "something else entirely" + somePassword = "some password" :: B.ByteString + aSalt = + "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f" + :: B.ByteString diff --git a/tests/KDF/HKDFSpec.hs b/tests/KDF/HKDFSpec.hs new file mode 100644 --- /dev/null +++ b/tests/KDF/HKDFSpec.hs @@ -0,0 +1,411 @@ +{-# LANGUAGE OverloadedStrings #-} + +module KDF.HKDFSpec (spec) where + +import Control.Exception (evaluate) +import Crypto.Error (CryptoError (..), CryptoFailable (..)) +import Crypto.Hash (HashAlgorithm, SHA1, SHA256, SHA384, SHA512) +import qualified Crypto.KDF.HKDF as HKDF +import qualified Data.ByteString as B + +import Imports + +data KDFVector hash = KDFVector + { kdfIKM :: ByteString + , kdfSalt :: ByteString + , kdfInfo :: ByteString + , kdfResult :: ByteString + } + +sha256KDFVectors :: [KDFVector SHA256] +sha256KDFVectors = + [ KDFVector + "\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b" + ( B.pack + [0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b, 0x0c] + ) + "\xf0\xf1\xf2\xf3\xf4\xf5\xf6\xf7\xf8\xf9" + "\x3c\xb2\x5f\x25\xfa\xac\xd5\x7a\x90\x43\x4f\x64\xd0\x36\x2f\x2a\x2d\x2d\x0a\x90\xcf\x1a\x5a\x4c\x5d\xb0\x2d\x56\xec\xc4\xc5\xbf\x34\x00\x72\x08\xd5\xb8\x87\x18\x58\x65" + , KDFVector + ( B.pack + [ 0x00 + , 0x01 + , 0x02 + , 0x03 + , 0x04 + , 0x05 + , 0x06 + , 0x07 + , 0x08 + , 0x09 + , 0x0a + , 0x0b + , 0x0c + , 0x0d + , 0x0e + , 0x0f + , 0x10 + , 0x11 + , 0x12 + , 0x13 + , 0x14 + , 0x15 + , 0x16 + , 0x17 + , 0x18 + , 0x19 + , 0x1a + , 0x1b + , 0x1c + , 0x1d + , 0x1e + , 0x1f + , 0x20 + , 0x21 + , 0x22 + , 0x23 + , 0x24 + , 0x25 + , 0x26 + , 0x27 + , 0x28 + , 0x29 + , 0x2a + , 0x2b + , 0x2c + , 0x2d + , 0x2e + , 0x2f + , 0x30 + , 0x31 + , 0x32 + , 0x33 + , 0x34 + , 0x35 + , 0x36 + , 0x37 + , 0x38 + , 0x39 + , 0x3a + , 0x3b + , 0x3c + , 0x3d + , 0x3e + , 0x3f + , 0x40 + , 0x41 + , 0x42 + , 0x43 + , 0x44 + , 0x45 + , 0x46 + , 0x47 + , 0x48 + , 0x49 + , 0x4a + , 0x4b + , 0x4c + , 0x4d + , 0x4e + , 0x4f + ] + ) + ( B.pack + [ 0x60 + , 0x61 + , 0x62 + , 0x63 + , 0x64 + , 0x65 + , 0x66 + , 0x67 + , 0x68 + , 0x69 + , 0x6a + , 0x6b + , 0x6c + , 0x6d + , 0x6e + , 0x6f + , 0x70 + , 0x71 + , 0x72 + , 0x73 + , 0x74 + , 0x75 + , 0x76 + , 0x77 + , 0x78 + , 0x79 + , 0x7a + , 0x7b + , 0x7c + , 0x7d + , 0x7e + , 0x7f + , 0x80 + , 0x81 + , 0x82 + , 0x83 + , 0x84 + , 0x85 + , 0x86 + , 0x87 + , 0x88 + , 0x89 + , 0x8a + , 0x8b + , 0x8c + , 0x8d + , 0x8e + , 0x8f + , 0x90 + , 0x91 + , 0x92 + , 0x93 + , 0x94 + , 0x95 + , 0x96 + , 0x97 + , 0x98 + , 0x99 + , 0x9a + , 0x9b + , 0x9c + , 0x9d + , 0x9e + , 0x9f + , 0xa0 + , 0xa1 + , 0xa2 + , 0xa3 + , 0xa4 + , 0xa5 + , 0xa6 + , 0xa7 + , 0xa8 + , 0xa9 + , 0xaa + , 0xab + , 0xac + , 0xad + , 0xae + , 0xaf + ] + ) + ( B.pack + [ 0xb0 + , 0xb1 + , 0xb2 + , 0xb3 + , 0xb4 + , 0xb5 + , 0xb6 + , 0xb7 + , 0xb8 + , 0xb9 + , 0xba + , 0xbb + , 0xbc + , 0xbd + , 0xbe + , 0xbf + , 0xc0 + , 0xc1 + , 0xc2 + , 0xc3 + , 0xc4 + , 0xc5 + , 0xc6 + , 0xc7 + , 0xc8 + , 0xc9 + , 0xca + , 0xcb + , 0xcc + , 0xcd + , 0xce + , 0xcf + , 0xd0 + , 0xd1 + , 0xd2 + , 0xd3 + , 0xd4 + , 0xd5 + , 0xd6 + , 0xd7 + , 0xd8 + , 0xd9 + , 0xda + , 0xdb + , 0xdc + , 0xdd + , 0xde + , 0xdf + , 0xe0 + , 0xe1 + , 0xe2 + , 0xe3 + , 0xe4 + , 0xe5 + , 0xe6 + , 0xe7 + , 0xe8 + , 0xe9 + , 0xea + , 0xeb + , 0xec + , 0xed + , 0xee + , 0xef + , 0xf0 + , 0xf1 + , 0xf2 + , 0xf3 + , 0xf4 + , 0xf5 + , 0xf6 + , 0xf7 + , 0xf8 + , 0xf9 + , 0xfa + , 0xfb + , 0xfc + , 0xfd + , 0xfe + , 0xff + ] + ) + ( B.pack + [ 0xb1 + , 0x1e + , 0x39 + , 0x8d + , 0xc8 + , 0x03 + , 0x27 + , 0xa1 + , 0xc8 + , 0xe7 + , 0xf7 + , 0x8c + , 0x59 + , 0x6a + , 0x49 + , 0x34 + , 0x4f + , 0x01 + , 0x2e + , 0xda + , 0x2d + , 0x4e + , 0xfa + , 0xd8 + , 0xa0 + , 0x50 + , 0xcc + , 0x4c + , 0x19 + , 0xaf + , 0xa9 + , 0x7c + , 0x59 + , 0x04 + , 0x5a + , 0x99 + , 0xca + , 0xc7 + , 0x82 + , 0x72 + , 0x71 + , 0xcb + , 0x41 + , 0xc6 + , 0x5e + , 0x59 + , 0x0e + , 0x09 + , 0xda + , 0x32 + , 0x75 + , 0x60 + , 0x0c + , 0x2f + , 0x09 + , 0xb8 + , 0x36 + , 0x77 + , 0x93 + , 0xa9 + , 0xac + , 0xa3 + , 0xdb + , 0x71 + , 0xcc + , 0x30 + , 0xc5 + , 0x81 + , 0x79 + , 0xec + , 0x3e + , 0x87 + , 0xc1 + , 0x4c + , 0x01 + , 0xd5 + , 0xc1 + , 0xf3 + , 0x43 + , 0x4f + , 0x1d + , 0x87 + ] + ) + ] + +kdfTests :: [Spec] +kdfTests = + [ describe "sha256" $ mapM_ toKDFTest $ zip is sha256KDFVectors + ] + where + toKDFTest (i, kdfVector) = do + it (show i) (t HKDF.extract kdfVector) + + t + :: HashAlgorithm a + => (ByteString -> ByteString -> HKDF.PRK a) -> KDFVector a -> Expectation + t ext v = + let prk = ext (kdfSalt v) (kdfIKM v) + in HKDF.expand prk (kdfInfo v) (B.length $ kdfResult v) `shouldBe` kdfResult v + + is :: [Int] + is = [1 ..] + +boundTests :: [Spec] +boundTests = + [ boundTest "SHA-1" (HKDF.extract salt ikm :: HKDF.PRK SHA1) 20 + , boundTest "SHA-256" (HKDF.extract salt ikm :: HKDF.PRK SHA256) 32 + , boundTest "SHA-384" (HKDF.extract salt ikm :: HKDF.PRK SHA384) 48 + , boundTest "SHA-512" (HKDF.extract salt ikm :: HKDF.PRK SHA512) 64 + ] + where + salt = "salt" :: ByteString + ikm = "input key material" :: ByteString + info = "info" :: ByteString + boundTest name prk hashLen = + describe name $ do + it "maximum length" $ + B.length (HKDF.expand prk info maxLen :: ByteString) `shouldBe` maxLen + it "one byte past the maximum" $ + evaluate (B.length (HKDF.expand prk info (maxLen + 1) :: ByteString)) + `shouldThrow` (== CryptoError_OutputLengthTooBig) + it "reports one byte past the maximum without raising" $ + (HKDF.tryExpand prk info (maxLen + 1) :: CryptoFailable ByteString) + `shouldBe` CryptoFailed CryptoError_OutputLengthTooBig + where + maxLen = 255 * hashLen + +spec :: Spec +spec = do + describe "KATs" $ sequence_ kdfTests + describe "output bound" $ sequence_ boundTests diff --git a/tests/KDF/PBKDF2Spec.hs b/tests/KDF/PBKDF2Spec.hs new file mode 100644 --- /dev/null +++ b/tests/KDF/PBKDF2Spec.hs @@ -0,0 +1,167 @@ +{-# LANGUAGE OverloadedStrings #-} + +-- from +module KDF.PBKDF2Spec (spec) where + +import Control.Exception (evaluate) +import Crypto.Error +import Crypto.Hash (SHA1 (..), SHA256 (..), SHA512 (..)) +import qualified Crypto.KDF.PBKDF2 as PBKDF2 + +import Data.ByteString (ByteString) +import Data.ByteString.Char8 () + +import Test.Hspec + +type VectParams = (ByteString, ByteString, Int, Int) + +vectors_hmac_sha1 :: [(VectParams, ByteString)] +vectors_hmac_sha1 = + [ + ( ("password", "salt", 2, 20) + , "\xea\x6c\x01\x4d\xc7\x2d\x6f\x8c\xcd\x1e\xd9\x2a\xce\x1d\x41\xf0\xd8\xde\x89\x57" + ) + , + ( ("password", "salt", 4096, 20) + , "\x4b\x00\x79\x01\xb7\x65\x48\x9a\xbe\xad\x49\xd9\x26\xf7\x21\xd0\x65\xa4\x29\xc1" + ) + , + ( ("passwordPASSWORDpassword", "saltSALTsaltSALTsaltSALTsaltSALTsalt", 4096, 25) + , "\x3d\x2e\xec\x4f\xe4\x1c\x84\x9b\x80\xc8\xd8\x36\x62\xc0\xe4\x4a\x8b\x29\x1a\x96\x4c\xf2\xf0\x70\x38" + ) + , + ( ("pass\0word", "sa\0lt", 4096, 16) + , "\x56\xfa\x6a\xa7\x55\x48\x09\x9d\xcc\x37\xd7\xf0\x34\x25\xe0\xc3" + ) + ] + +vectors_hmac_sha256 :: [(VectParams, ByteString)] +vectors_hmac_sha256 = + [ + ( ("password", "salt", 2, 32) + , "\xae\x4d\x0c\x95\xaf\x6b\x46\xd3\x2d\x0a\xdf\xf9\x28\xf0\x6d\xd0\x2a\x30\x3f\x8e\xf3\xc2\x51\xdf\xd6\xe2\xd8\x5a\x95\x47\x4c\x43" + ) + , + ( ("passwordPASSWORDpassword", "saltSALTsaltSALTsaltSALTsaltSALTsalt", 4096, 40) + , "\x34\x8c\x89\xdb\xcb\xd3\x2b\x2f\x32\xd8\x14\xb8\x11\x6e\x84\xcf\x2b\x17\x34\x7e\xbc\x18\x00\x18\x1c\x4e\x2a\x1f\xb8\xdd\x53\xe1\xc6\x35\x51\x8c\x7d\xac\x47\xe9" + ) + ] + +vectors_hmac_sha512 :: [(VectParams, ByteString)] +vectors_hmac_sha512 = + [ + ( ("password", "salt", 1, 32) + , "\x86\x7f\x70\xcf\x1a\xde\x02\xcf\xf3\x75\x25\x99\xa3\xa5\x3d\xc4\xaf\x34\xc7\xa6\x69\x81\x5a\xe5\xd5\x13\x55\x4e\x1c\x8c\xf2\x52" + ) + , + ( ("password", "salt", 2, 32) + , "\xe1\xd9\xc1\x6a\xa6\x81\x70\x8a\x45\xf5\xc7\xc4\xe2\x15\xce\xb6\x6e\x01\x1a\x2e\x9f\x00\x40\x71\x3f\x18\xae\xfd\xb8\x66\xd5\x3c" + ) + , + ( ("password", "salt", 4096, 32) + , "\xd1\x97\xb1\xb3\x3d\xb0\x14\x3e\x01\x8b\x12\xf3\xd1\xd1\x47\x9e\x6c\xde\xbd\xcc\x97\xc5\xc0\xf8\x7f\x69\x02\xe0\x72\xf4\x57\xb5" + ) + , + ( ("passwordPASSWORDpassword", "saltSALTsaltSALTsaltSALTsaltSALTsalt", 1, 72) + , "n\x23\xf2\x76\x38\x08\x4b\x0f\x7e\xa1\x73\x4e\x0d\x98\x41\xf5\x5d\xd2\x9e\xa6\x0a\x83\x44\x66\xf3\x39\x6b\xac\x80\x1f\xac\x1e\xeb\x63\x80\x2f\x03\xa0\xb4\xac\xd7\x60\x3e\x36\x99\xc8\xb7\x44\x37\xbe\x83\xff\x01\xad\x7f\x55\xda\xc1\xef\x60\xf4\xd5\x64\x80\xc3\x5e\xe6\x8f\xd5\x2c\x69\x36" + ) + ] + +spec :: Spec +spec = do + describe "KATs-HMAC-SHA1" $ + sequence_ (katTests (PBKDF2.prfHMAC SHA1) vectors_hmac_sha1) + describe "KATs-HMAC-SHA1 (fast)" $ + sequence_ (katTestFastPBKDF2_SHA1 vectors_hmac_sha1) + describe "KATs-HMAC-SHA256" $ + sequence_ $ + (katTests (PBKDF2.prfHMAC SHA256) vectors_hmac_sha256) + describe "KATs-HMAC-SHA256 (fast)" $ + sequence_ $ + (katTestFastPBKDF2_SHA256 vectors_hmac_sha256) + describe "KATs-HMAC-SHA512" $ + sequence_ $ + (katTests (PBKDF2.prfHMAC SHA512) vectors_hmac_sha512) + describe "KATs-HMAC-SHA512 (fast)" $ + sequence_ $ + (katTestFastPBKDF2_SHA512 vectors_hmac_sha512) + describe "invalid parameters" $ do + -- A zero iteration count derives the zero key rather than a key, and + -- a negative output length used to ask memSet for a buffer of -1 + -- bytes, which took the process down with it. + it "rejects an iteration count below one" $ + evaluate (slow (PBKDF2.Parameters 0 32)) `shouldThrow` cryptoError + it "rejects a negative output length" $ + evaluate (slow (PBKDF2.Parameters 1 (-1))) `shouldThrow` cryptoError + it "rejects an iteration count below one in the fast path" $ do + evaluate (fast1 (PBKDF2.Parameters 0 32)) `shouldThrow` cryptoError + evaluate (fast256 (PBKDF2.Parameters 0 32)) `shouldThrow` cryptoError + evaluate (fast512 (PBKDF2.Parameters 0 32)) `shouldThrow` cryptoError + it "rejects a negative output length in the fast path" $ do + evaluate (fast1 (PBKDF2.Parameters 1 (-1))) `shouldThrow` cryptoError + evaluate (fast256 (PBKDF2.Parameters 1 (-1))) `shouldThrow` cryptoError + evaluate (fast512 (PBKDF2.Parameters 1 (-1))) `shouldThrow` cryptoError + it "reports them without raising" $ do + PBKDF2.tryGenerate badPrf (PBKDF2.Parameters 0 32) badPass badSalt + `shouldBe` refused + PBKDF2.tryFastPBKDF2_SHA1 (PBKDF2.Parameters 1 (-1)) badPass badSalt + `shouldBe` refused + PBKDF2.tryFastPBKDF2_SHA256 (PBKDF2.Parameters 0 32) badPass badSalt + `shouldBe` refused + PBKDF2.tryFastPBKDF2_SHA512 (PBKDF2.Parameters 1 (-1)) badPass badSalt + `shouldBe` refused + -- Zero is not rejected: asking for no key is asking for no work, and + -- that is what the slow path has always answered. The fast ones go + -- straight to C, where `assert(out && nout)` took the process down + -- on a length the caller chose -- a library built without NDEBUG + -- keeps its assertions. All four agree now. + it "derives nothing when asked for nothing" $ do + slow none `shouldBe` "" + fast1 none `shouldBe` "" + fast256 none `shouldBe` "" + fast512 none `shouldBe` "" + where + none = PBKDF2.Parameters 1 0 + badPrf = PBKDF2.prfHMAC SHA256 + badPass = "password" :: ByteString + badSalt = "salt" :: ByteString + refused = CryptoFailed CryptoError_ParameterInvalid :: CryptoFailable ByteString + cryptoError e = e == CryptoError_ParameterInvalid + slow params = PBKDF2.generate badPrf params badPass badSalt :: ByteString + fast1 params = PBKDF2.fastPBKDF2_SHA1 params badPass badSalt :: ByteString + fast256 params = PBKDF2.fastPBKDF2_SHA256 params badPass badSalt :: ByteString + fast512 params = PBKDF2.fastPBKDF2_SHA512 params badPass badSalt :: ByteString + + katTests prf = zipWith (toKatTest prf) is + + toKatTest prf i ((pass, salt, iter, dkLen), output) = + it + (show i) + (PBKDF2.generate prf (PBKDF2.Parameters iter dkLen) pass salt `shouldBe` output) + + katTestFastPBKDF2_SHA1 = zipWith toKatTestFastPBKDF2_SHA1 is + toKatTestFastPBKDF2_SHA1 i ((pass, salt, iter, dkLen), output) = + it + (show i) + ( PBKDF2.fastPBKDF2_SHA1 (PBKDF2.Parameters iter dkLen) pass salt + `shouldBe` output + ) + + katTestFastPBKDF2_SHA256 = zipWith toKatTestFastPBKDF2_SHA256 is + toKatTestFastPBKDF2_SHA256 i ((pass, salt, iter, dkLen), output) = + it + (show i) + ( PBKDF2.fastPBKDF2_SHA256 (PBKDF2.Parameters iter dkLen) pass salt + `shouldBe` output + ) + + katTestFastPBKDF2_SHA512 = zipWith toKatTestFastPBKDF2_SHA512 is + toKatTestFastPBKDF2_SHA512 i ((pass, salt, iter, dkLen), output) = + it + (show i) + ( PBKDF2.fastPBKDF2_SHA512 (PBKDF2.Parameters iter dkLen) pass salt + `shouldBe` output + ) + + is :: [Int] + is = [1 ..] diff --git a/tests/KDF/ScryptSpec.hs b/tests/KDF/ScryptSpec.hs new file mode 100644 --- /dev/null +++ b/tests/KDF/ScryptSpec.hs @@ -0,0 +1,59 @@ +{-# LANGUAGE OverloadedStrings #-} + +module KDF.ScryptSpec (spec) where + +import Data.ByteString (ByteString) +import Data.ByteString.Char8 () + +import Control.Exception (evaluate) +import Data.Word +import Test.Hspec + +import Crypto.Error +import qualified Crypto.KDF.Scrypt as Scrypt + +vectors :: [((ByteString, ByteString, Word64, Int, Int, Int), ByteString)] +vectors = + [ + ( ("", "", 16, 1, 1, 64) + , "\x77\xd6\x57\x62\x38\x65\x7b\x20\x3b\x19\xca\x42\xc1\x8a\x04\x97\xf1\x6b\x48\x44\xe3\x07\x4a\xe8\xdf\xdf\xfa\x3f\xed\xe2\x14\x42\xfc\xd0\x06\x9d\xed\x09\x48\xf8\x32\x6a\x75\x3a\x0f\xc8\x1f\x17\xe8\xd3\xe0\xfb\x2e\x0d\x36\x28\xcf\x35\xe2\x0c\x38\xd1\x89\x06" + ) + , + ( ("password", "NaCl", 1024, 8, 16, 64) + , "\xfd\xba\xbe\x1c\x9d\x34\x72\x00\x78\x56\xe7\x19\x0d\x01\xe9\xfe\x7c\x6a\xd7\xcb\xc8\x23\x78\x30\xe7\x73\x76\x63\x4b\x37\x31\x62\x2e\xaf\x30\xd9\x2e\x22\xa3\x88\x6f\xf1\x09\x27\x9d\x98\x30\xda\xc7\x27\xaf\xb9\x4a\x83\xee\x6d\x83\x60\xcb\xdf\xa2\xcc\x06\x40" + ) + , + ( ("pleaseletmein", "SodiumChloride", 16384, 8, 1, 64) + , "\x70\x23\xbd\xcb\x3a\xfd\x73\x48\x46\x1c\x06\xcd\x81\xfd\x38\xeb\xfd\xa8\xfb\xba\x90\x4f\x8e\x3e\xa9\xb5\x43\xf6\x54\x5d\xa1\xf2\xd5\x43\x29\x55\x61\x3f\x0f\xcf\x62\xd4\x97\x05\x24\x2a\x9a\xf9\xe6\x1e\x85\xdc\x0d\x65\x1e\x40\xdf\xcf\x01\x7b\x45\x57\x58\x87" + ) + , + ( ("pleaseletmein", "SodiumChloride", 1048576, 8, 1, 64) + , "\x21\x01\xcb\x9b\x6a\x51\x1a\xae\xad\xdb\xbe\x09\xcf\x70\xf8\x81\xec\x56\x8d\x57\x4a\x2f\xfd\x4d\xab\xe5\xee\x98\x20\xad\xaa\x47\x8e\x56\xfd\x8f\x4b\xa5\xd0\x9f\xfa\x1c\x6d\x92\x7c\x40\xf4\xc3\x37\x30\x40\x49\xe8\xa9\x52\xfb\xcb\xf4\x5c\x6f\xa7\x7a\x41\xa4" + ) + ] + +spec :: Spec +spec = do + sequence_ $ zipWith toCase [(1 :: Int) ..] vectors + describe "invalid parameters" $ do + it "rejects an n that is not a power of two" $ + evaluate (run (Scrypt.Parameters 3 8 1 32)) `shouldThrow` cryptoError + it "rejects an r and p that overflow" $ + evaluate (run (Scrypt.Parameters 16 1073741824 1 32)) + `shouldThrow` cryptoError + it "reports them without raising" $ do + run' (Scrypt.Parameters 3 8 1 32) `shouldBe` refused + run' (Scrypt.Parameters 16 1073741824 1 32) `shouldBe` refused + where + run params = + Scrypt.generate params ("password" :: ByteString) ("salt" :: ByteString) + :: ByteString + run' params = + Scrypt.tryGenerate params ("password" :: ByteString) ("salt" :: ByteString) + :: CryptoFailable ByteString + refused = CryptoFailed CryptoError_ParameterInvalid + cryptoError e = e == CryptoError_ParameterInvalid + toCase i ((pass, salt, n, r, p, dklen), output) = + it + (show i) + (Scrypt.generate (Scrypt.Parameters n r p dklen) pass salt `shouldBe` output) diff --git a/tests/MAC/Blake2Spec.hs b/tests/MAC/Blake2Spec.hs new file mode 100644 --- /dev/null +++ b/tests/MAC/Blake2Spec.hs @@ -0,0 +1,198 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE OverloadedStrings #-} +{-# LANGUAGE RecordWildCards #-} + +module MAC.Blake2Spec (spec) where + +import Crypto.Hash (digestFromByteString) +import Crypto.Hash.Algorithms +import qualified Crypto.MAC.KeyedBlake2 as KB + +import qualified Data.ByteString as B + +import Imports + +data MACVector hash = MACVector + { macMessage :: ByteString + , macKey :: ByteString + , macResult :: KB.KeyedBlake2 hash + } + +instance Show (KB.KeyedBlake2 hash) where + show (KB.KeyedBlake2 d) = show d + +digest :: KB.HashBlake2 hash => ByteString -> KB.KeyedBlake2 hash +digest = maybe (error "cannot get digest") KB.KeyedBlake2 . digestFromByteString + +-- From: https://github.com/BLAKE2/BLAKE2/blob/master/testvectors/ +vectorsBlake2bKAT :: [MACVector (Blake2b 512)] +vectorsBlake2bKAT = + [ MACVector + { macMessage = "" + , macKey = fixedKey + , macResult = + digest + "\x10\xeb\xb6\x77\x00\xb1\x86\x8e\xfb\x44\x17\x98\x7a\xcf\x46\x90\xae\x9d\x97\x2f\xb7\xa5\x90\xc2\xf0\x28\x71\x79\x9a\xaa\x47\x86\xb5\xe9\x96\xe8\xf0\xf4\xeb\x98\x1f\xc2\x14\xb0\x05\xf4\x2d\x2f\xf4\x23\x34\x99\x39\x16\x53\xdf\x7a\xef\xcb\xc1\x3f\xc5\x15\x68" + } + , MACVector + { macMessage = "\x00" + , macKey = fixedKey + , macResult = + digest + "\x96\x1f\x6d\xd1\xe4\xdd\x30\xf6\x39\x01\x69\x0c\x51\x2e\x78\xe4\xb4\x5e\x47\x42\xed\x19\x7c\x3c\x5e\x45\xc5\x49\xfd\x25\xf2\xe4\x18\x7b\x0b\xc9\xfe\x30\x49\x2b\x16\xb0\xd0\xbc\x4e\xf9\xb0\xf3\x4c\x70\x03\xfa\xc0\x9a\x5e\xf1\x53\x2e\x69\x43\x02\x34\xce\xbd" + } + , MACVector + { macMessage = B.pack [0x00 .. 0xfe] + , macKey = fixedKey + , macResult = + digest + "\x14\x27\x09\xd6\x2e\x28\xfc\xcc\xd0\xaf\x97\xfa\xd0\xf8\x46\x5b\x97\x1e\x82\x20\x1d\xc5\x10\x70\xfa\xa0\x37\x2a\xa4\x3e\x92\x48\x4b\xe1\xc1\xe7\x3b\xa1\x09\x06\xd5\xd1\x85\x3d\xb6\xa4\x10\x6e\x0a\x7b\xf9\x80\x0d\x37\x3d\x6d\xee\x2d\x46\xd6\x2e\xf2\xa4\x61" + } + ] + where + fixedKey = B.pack [0x00 .. 0x3f] + +vectorsBlake2bpKAT :: [MACVector (Blake2bp 512)] +vectorsBlake2bpKAT = + [ MACVector + { macMessage = "" + , macKey = fixedKey + , macResult = + digest + "\x9d\x94\x61\x07\x3e\x4e\xb6\x40\xa2\x55\x35\x7b\x83\x9f\x39\x4b\x83\x8c\x6f\xf5\x7c\x9b\x68\x6a\x3f\x76\x10\x7c\x10\x66\x72\x8f\x3c\x99\x56\xbd\x78\x5c\xbc\x3b\xf7\x9d\xc2\xab\x57\x8c\x5a\x0c\x06\x3b\x9d\x9c\x40\x58\x48\xde\x1d\xbe\x82\x1c\xd0\x5c\x94\x0a" + } + , MACVector + { macMessage = "\x00" + , macKey = fixedKey + , macResult = + digest + "\xff\x8e\x90\xa3\x7b\x94\x62\x39\x32\xc5\x9f\x75\x59\xf2\x60\x35\x02\x9c\x37\x67\x32\xcb\x14\xd4\x16\x02\x00\x1c\xbb\x73\xad\xb7\x92\x93\xa2\xdb\xda\x5f\x60\x70\x30\x25\x14\x4d\x15\x8e\x27\x35\x52\x95\x96\x25\x1c\x73\xc0\x34\x5c\xa6\xfc\xcb\x1f\xb1\xe9\x7e" + } + , MACVector + { macMessage = B.pack [0x00 .. 0xfe] + , macKey = fixedKey + , macResult = + digest + "\x96\xfb\xcb\xb6\x0b\xd3\x13\xb8\x84\x50\x33\xe5\xbc\x05\x8a\x38\x02\x74\x38\x57\x2d\x7e\x79\x57\xf3\x68\x4f\x62\x68\xaa\xdd\x3a\xd0\x8d\x21\x76\x7e\xd6\x87\x86\x85\x33\x1b\xa9\x85\x71\x48\x7e\x12\x47\x0a\xad\x66\x93\x26\x71\x6e\x46\x66\x7f\x69\xf8\xd7\xe8" + } + ] + where + fixedKey = B.pack [0x00 .. 0x3f] + +vectorsBlake2sKAT :: [MACVector (Blake2s 256)] +vectorsBlake2sKAT = + [ MACVector + { macMessage = "" + , macKey = fixedKey + , macResult = + digest + "\x48\xa8\x99\x7d\xa4\x07\x87\x6b\x3d\x79\xc0\xd9\x23\x25\xad\x3b\x89\xcb\xb7\x54\xd8\x6a\xb7\x1a\xee\x04\x7a\xd3\x45\xfd\x2c\x49" + } + , MACVector + { macMessage = "\x00" + , macKey = fixedKey + , macResult = + digest + "\x40\xd1\x5f\xee\x7c\x32\x88\x30\x16\x6a\xc3\xf9\x18\x65\x0f\x80\x7e\x7e\x01\xe1\x77\x25\x8c\xdc\x0a\x39\xb1\x1f\x59\x80\x66\xf1" + } + , MACVector + { macMessage = B.pack [0x00 .. 0xfe] + , macKey = fixedKey + , macResult = + digest + "\x3f\xb7\x35\x06\x1a\xbc\x51\x9d\xfe\x97\x9e\x54\xc1\xee\x5b\xfa\xd0\xa9\xd8\x58\xb3\x31\x5b\xad\x34\xbd\xe9\x99\xef\xd7\x24\xdd" + } + ] + where + fixedKey = B.pack [0x00 .. 0x1f] + +vectorsBlake2spKAT :: [MACVector (Blake2sp 256)] +vectorsBlake2spKAT = + [ MACVector + { macMessage = "" + , macKey = fixedKey + , macResult = + digest + "\x71\x5c\xb1\x38\x95\xae\xb6\x78\xf6\x12\x41\x60\xbf\xf2\x14\x65\xb3\x0f\x4f\x68\x74\x19\x3f\xc8\x51\xb4\x62\x10\x43\xf0\x9c\xc6" + } + , MACVector + { macMessage = "\x00" + , macKey = fixedKey + , macResult = + digest + "\x40\x57\x8f\xfa\x52\xbf\x51\xae\x18\x66\xf4\x28\x4d\x3a\x15\x7f\xc1\xbc\xd3\x6a\xc1\x3c\xbd\xcb\x03\x77\xe4\xd0\xcd\x0b\x66\x03" + } + , MACVector + { macMessage = B.pack [0x00 .. 0xfe] + , macKey = fixedKey + , macResult = + digest + "\x0c\x8a\x36\x59\x7d\x74\x61\xc6\x3a\x94\x73\x28\x21\xc9\x41\x85\x6c\x66\x83\x76\x60\x6c\x86\xa5\x2d\xe0\xee\x41\x04\xc6\x15\xdb" + } + ] + where + fixedKey = B.pack [0x00 .. 0x1f] + +macTests :: [Spec] +macTests = + [ describe "Blake2b_512" $ mapM_ toMACTest $ zip is vectorsBlake2bKAT + , describe "Blake2bp_512" $ mapM_ toMACTest $ zip is vectorsBlake2bpKAT + , describe "Blake2s_512" $ mapM_ toMACTest $ zip is vectorsBlake2sKAT + , describe "Blake2sp_512" $ mapM_ toMACTest $ zip is vectorsBlake2spKAT + ] + where + toMACTest (i, MACVector{..}) = do + it (show i) (KB.keyedBlake2 macKey macMessage `shouldBe` macResult) + it + ("incr-" ++ show i) + ( KB.finalize (KB.update (KB.initialize macKey) macMessage) + `shouldBe` macResult + ) + is :: [Int] + is = [1 ..] + +data MacIncremental a = MacIncremental ByteString ByteString (KB.KeyedBlake2 a) + deriving (Show, Eq) + +instance KB.HashBlake2 a => Arbitrary (MacIncremental a) where + arbitrary = do + key <- arbitraryBSof 32 64 + msg <- arbitraryBSof 1 99 + return $ MacIncremental key msg (KB.keyedBlake2 key msg) + +data MacIncrementalList a + = MacIncrementalList ByteString [ByteString] (KB.KeyedBlake2 a) + deriving (Show, Eq) + +instance KB.HashBlake2 a => Arbitrary (MacIncrementalList a) where + arbitrary = do + key <- arbitraryBSof 32 64 + msgs <- choose (1, 20) >>= \n -> replicateM n (arbitraryBSof 1 99) + return $ MacIncrementalList key msgs (KB.keyedBlake2 key (B.concat msgs)) + +macIncrementalTests :: [Spec] +macIncrementalTests = + [ testIncrProperties "Blake2b_512" (Blake2b :: Blake2b 512) + , testIncrProperties "Blake2bp_512" (Blake2bp :: Blake2bp 512) + , testIncrProperties "Blake2s_256" (Blake2s :: Blake2s 256) + , testIncrProperties "Blake2sp_256" (Blake2sp :: Blake2sp 256) + ] + where + testIncrProperties :: KB.HashBlake2 a => String -> a -> Spec + testIncrProperties name a = + describe name $ do + prop "list-one" (prop_inc0 a) + prop "list-multi" (prop_inc1 a) + + prop_inc0 :: KB.HashBlake2 a => a -> MacIncremental a -> Bool + prop_inc0 _ (MacIncremental secret msg result) = + result `assertEq` KB.finalize (KB.update (KB.initialize secret) msg) + + prop_inc1 :: KB.HashBlake2 a => a -> MacIncrementalList a -> Bool + prop_inc1 _ (MacIncrementalList secret msgs result) = + result `assertEq` KB.finalize (foldl' KB.update (KB.initialize secret) msgs) + +spec :: Spec +spec = do + describe "KATs" $ sequence_ macTests + describe "properties" $ sequence_ macIncrementalTests diff --git a/tests/MAC/CMACSpec.hs b/tests/MAC/CMACSpec.hs new file mode 100644 --- /dev/null +++ b/tests/MAC/CMACSpec.hs @@ -0,0 +1,258 @@ +module MAC.CMACSpec (spec) where + +import Crypto.Cipher.AES (AES128, AES192, AES256) +import Crypto.Cipher.TripleDES (DES_EDE2, DES_EDE3) +import Crypto.Cipher.Types ( + BlockCipher, + Cipher, + blockSize, + cipherInit, + ecbEncrypt, + ) +import Crypto.Error (eitherCryptoError) +import qualified Crypto.MAC.CMAC as CMAC + +import Imports + +import Data.Bits (xor) +import qualified Data.ByteArray as B +import qualified Data.ByteString as BS +import Data.Char (digitToInt) + +hxs :: String -> ByteString +hxs = BS.pack . rec' + where + dtoW8 = fromIntegral . digitToInt + rec' (' ' : xs) = rec' xs + rec' (x : y : xs) = dtoW8 x * 16 + dtoW8 y : rec' xs + rec' [_] = error "hxs: invalid hex pattern." + rec' [] = [] + +unsafeCipher :: Cipher k => ByteString -> k +unsafeCipher = either (error . show) id . eitherCryptoError . cipherInit + +ecb0 :: BlockCipher k => k -> ByteString +ecb0 k = ecbEncrypt k $ BS.replicate (blockSize k) 0 + +{- Test vectors from NIST data-sheet + (AES128-CMAC, AES192-CMAC, AES256-CMAC, Three Key TDEA, Two Key TDEA) + http://csrc.nist.gov/publications/nistpubs/800-38B/Updated_CMAC_Examples.pdf + The data of AES128-CMAC is same as them in RFC4493. + -} + +msg512 :: ByteString +msg512 = + hxs $ + "6bc1bee2 2e409f96 e93d7e11 7393172a" + ++ "ae2d8a57 1e03ac9c 9eb76fac 45af8e51" + ++ "30c81c46 a35ce411 e5fbc119 1a0a52ef" + ++ "f69f2445 df4f9b17 ad2b417b e66c3710" + +msg320 :: ByteString +msg320 = BS.take 40 msg512 + +msg256 :: ByteString +msg256 = BS.take 32 msg512 + +msg160 :: ByteString +msg160 = BS.take 20 msg512 + +msg128 :: ByteString +msg128 = BS.take 16 msg512 + +msg64 :: ByteString +msg64 = BS.take 8 msg512 + +msg0 :: ByteString +msg0 = BS.empty + +bsCMAC :: BlockCipher k => k -> ByteString -> ByteString +bsCMAC k = B.convert . CMAC.cmac k + +-- | CMAC as RFC 4493 section 2.4 states it, written out here so that the +-- implementation has something to be compared against at lengths the NIST +-- vectors do not cover: the message is split into blocks, the last one is +-- exclusive-ored with the first subkey when it is full and padded and +-- exclusive-ored with the second when it is not, and the blocks are chained +-- through the cipher from a block of zeroes. +refCMAC :: BlockCipher k => k -> ByteString -> ByteString +refCMAC k msg = foldl step (BS.replicate bsz 0) (blocks msg) + where + bsz = blockSize k + (k1, k2) = CMAC.subKeys k + step c m = ecbEncrypt k (bxor c m) + blocks m + | BS.length m <= bsz = [lastBlock m] + | otherwise = BS.take bsz m : blocks (BS.drop bsz m) + lastBlock m + | BS.length m == bsz = bxor k1 m + | otherwise = + bxor k2 $ + BS.concat + [m, BS.singleton 0x80, BS.replicate (bsz - BS.length m - 1) 0] + bxor a b = BS.pack (BS.zipWith xor a b) + +-- | The lengths around a block boundary, and one message long enough that a +-- decision made once per block is repeated thousands of times. +lengthTests :: Spec +lengthTests = + describe "message lengths" $ do + it "agrees with the definition at every length from 0 to 80" $ + [ n + | n <- [0 .. 80] + , let m = BS.take n (BS.concat [msg512, msg512]) + , bsCMAC key m /= refCMAC key m + ] + `shouldBe` [] + it "agrees with the definition on a message of 256 KiB" $ + bsCMAC key big `shouldBe` refCMAC key big + where + key :: AES128 + key = unsafeCipher $ hxs "2b7e1516 28aed2a6 abf71588 09cf4f3c" + big = BS.concat (replicate 4096 msg512) + +gAES128 :: Spec +gAES128 = + igroup + "aes128" + [ ecb0 aes128key `shouldBe` hxs "7df76b0c 1ab899b3 3e42f047 b91b546f" + , aes128k1 `shouldBe` hxs "fbeed618 35713366 7c85e08f 7236a8de" + , aes128k2 `shouldBe` hxs "f7ddac30 6ae266cc f90bc11e e46d513b" + , bsCMAC aes128key msg0 + `shouldBe` hxs "bb1d6929 e9593728 7fa37d12 9b756746" + , bsCMAC aes128key msg128 + `shouldBe` hxs "070a16b4 6b4d4144 f79bdd9d d04a287c" + , bsCMAC aes128key msg320 + `shouldBe` hxs "dfa66747 de9ae630 30ca3261 1497c827" + , bsCMAC aes128key msg512 + `shouldBe` hxs "51f0bebf 7e3b9d92 fc497417 79363cfe" + ] + where + aes128key :: AES128 + aes128key = + unsafeCipher $ + hxs + "2b7e1516 28aed2a6 abf71588 09cf4f3c" + + aes128k1, aes128k2 :: ByteString + (aes128k1, aes128k2) = CMAC.subKeys aes128key + +gAES192 :: Spec +gAES192 = + igroup + "aes192" + [ ecb0 aes192key `shouldBe` hxs "22452d8e 49a8a593 9f7321ce ea6d514b" + , aes192k1 `shouldBe` hxs "448a5b1c 93514b27 3ee6439d d4daa296" + , aes192k2 `shouldBe` hxs "8914b639 26a2964e 7dcc873b a9b5452c" + , bsCMAC aes192key msg0 + `shouldBe` hxs "d17ddf46 adaacde5 31cac483 de7a9367" + , bsCMAC aes192key msg128 + `shouldBe` hxs "9e99a7bf 31e71090 0662f65e 617c5184" + , bsCMAC aes192key msg320 + `shouldBe` hxs "8a1de5be 2eb31aad 089a82e6 ee908b0e" + , bsCMAC aes192key msg512 + `shouldBe` hxs "a1d5df0e ed790f79 4d775896 59f39a11" + ] + where + aes192key :: AES192 + aes192key = + unsafeCipher . hxs $ + "8e73b0f7 da0e6452 c810f32b 809079e5" + ++ "62f8ead2 522c6b7b" + + aes192k1, aes192k2 :: ByteString + (aes192k1, aes192k2) = CMAC.subKeys aes192key + +gAES256 :: Spec +gAES256 = + igroup + "aes256" + [ ecb0 aes256key `shouldBe` hxs "e568f681 94cf76d6 174d4cc0 4310a854" + , aes256k1 `shouldBe` hxs "cad1ed03 299eedac 2e9a9980 8621502f" + , aes256k2 `shouldBe` hxs "95a3da06 533ddb58 5d353301 0c42a0d9" + , bsCMAC aes256key msg0 + `shouldBe` hxs "028962f6 1b7bf89e fc6b551f 4667d983" + , bsCMAC aes256key msg128 + `shouldBe` hxs "28a7023f 452e8f82 bd4bf28d 8c37c35c" + , bsCMAC aes256key msg320 + `shouldBe` hxs "aaf3d8f1 de5640c2 32f5b169 b9c911e6" + , bsCMAC aes256key msg512 + `shouldBe` hxs "e1992190 549f6ed5 696a2c05 6c315410" + ] + where + aes256key :: AES256 + aes256key = + unsafeCipher . hxs $ + "603deb10 15ca71be 2b73aef0 857d7781" + ++ "1f352c07 3b6108d7 2d9810a3 0914dff4" + + aes256k1, aes256k2 :: ByteString + (aes256k1, aes256k2) = CMAC.subKeys aes256key + +gTDEA3 :: Spec +gTDEA3 = + igroup + "Three Key TDEA" + [ ecb0 tdea3key `shouldBe` hxs "c8cc74e9 8a7329a2" + , tdea3k1 `shouldBe` hxs "9198e9d3 14e6535f" + , tdea3k2 `shouldBe` hxs "2331d3a6 29cca6a5" + , bsCMAC tdea3key msg0 + `shouldBe` hxs "b7a688e1 22ffaf95" + , bsCMAC tdea3key msg64 + `shouldBe` hxs "8e8f2931 36283797" + , bsCMAC tdea3key msg160 + `shouldBe` hxs "743ddbe0 ce2dc2ed" + , bsCMAC tdea3key msg256 + `shouldBe` hxs "33e6b109 2400eae5" + ] + where + tdea3key :: DES_EDE3 + tdea3key = + unsafeCipher . hxs $ + "8aa83bf8 cbda1062" + ++ "0bc1bf19 fbb6cd58" + ++ "bc313d4a 371ca8b5" + + tdea3k1, tdea3k2 :: ByteString + (tdea3k1, tdea3k2) = CMAC.subKeys tdea3key + +gTDEA2 :: Spec +gTDEA2 = + igroup + "Two Key TDEA" + [ ecb0 tdea2key `shouldBe` hxs "c7679b9f 6b8d7d7a" + , tdea2k1 `shouldBe` hxs "8ecf373e d71afaef" + , tdea2k2 `shouldBe` hxs "1d9e6e7d ae35f5c5" + , bsCMAC tdea2key msg0 + `shouldBe` hxs "bd2ebf9a 3ba00361" + , bsCMAC tdea2key msg64 + `shouldBe` hxs "4ff2ab81 3c53ce83" + , bsCMAC tdea2key msg160 + `shouldBe` hxs "62dd1b47 1902bd4e" + , bsCMAC tdea2key msg256 + `shouldBe` hxs "31b1e431 dabc4eb8" + ] + where + tdea2key :: DES_EDE2 + tdea2key = + unsafeCipher . hxs $ + "4cf15134 a2850dd5" + ++ "8a3d10ba 80570d38" + + tdea2k1, tdea2k2 :: ByteString + (tdea2k1, tdea2k2) = CMAC.subKeys tdea2key + +igroup :: String -> [Expectation] -> Spec +igroup nm = describe nm . sequence_ . zipWith (flip ($)) [1 ..] . map icase + where + icase c i = it (show (i :: Int)) c + +nistVectors :: Spec +nistVectors = + describe "KAT - NIST test vectors" $ do + sequence_ [gAES128, gAES192, gAES256, gTDEA3, gTDEA2] + +spec :: Spec +spec = do + nistVectors + lengthTests diff --git a/tests/MAC/HMACSpec.hs b/tests/MAC/HMACSpec.hs new file mode 100644 --- /dev/null +++ b/tests/MAC/HMACSpec.hs @@ -0,0 +1,209 @@ +{-# LANGUAGE OverloadedStrings #-} + +module MAC.HMACSpec (spec) where + +import Crypto.Hash ( + HashAlgorithm, + Keccak_224 (..), + Keccak_256 (..), + Keccak_384 (..), + Keccak_512 (..), + MD5 (..), + SHA1 (..), + SHA256 (..), + SHA3_224 (..), + SHA3_256 (..), + SHA3_384 (..), + SHA3_512 (..), + digestFromByteString, + ) +import qualified Crypto.MAC.HMAC as HMAC +import qualified Data.ByteString as B + +import Imports + +data MACVector hash = MACVector + { macKey :: ByteString + , macSecret :: ByteString + , macResult :: HMAC.HMAC hash + } + +instance Show (HMAC.HMAC a) where + show (HMAC.HMAC d) = show d + +digest :: HashAlgorithm hash => ByteString -> HMAC.HMAC hash +digest = maybe (error "cannot get digest") HMAC.HMAC . digestFromByteString + +v1 :: ByteString +v1 = "The quick brown fox jumps over the lazy dog" + +md5MACVectors :: [MACVector MD5] +md5MACVectors = + [ MACVector B.empty B.empty $ + digest "\x74\xe6\xf7\x29\x8a\x9c\x2d\x16\x89\x35\xf5\x8c\x00\x1b\xad\x88" + , MACVector "key" v1 $ + digest "\x80\x07\x07\x13\x46\x3e\x77\x49\xb9\x0c\x2d\xc2\x49\x11\xe2\x75" + ] + +sha1MACVectors :: [MACVector SHA1] +sha1MACVectors = + [ MACVector B.empty B.empty $ + digest + "\xfb\xdb\x1d\x1b\x18\xaa\x6c\x08\x32\x4b\x7d\x64\xb7\x1f\xb7\x63\x70\x69\x0e\x1d" + , MACVector "key" v1 $ + digest + "\xde\x7c\x9b\x85\xb8\xb7\x8a\xa6\xbc\x8a\x7a\x36\xf7\x0a\x90\x70\x1c\x9d\xb4\xd9" + ] + +sha256MACVectors :: [MACVector SHA256] +sha256MACVectors = + [ MACVector B.empty B.empty $ + digest + "\xb6\x13\x67\x9a\x08\x14\xd9\xec\x77\x2f\x95\xd7\x78\xc3\x5f\xc5\xff\x16\x97\xc4\x93\x71\x56\x53\xc6\xc7\x12\x14\x42\x92\xc5\xad" + , MACVector "key" v1 $ + digest + "\xf7\xbc\x83\xf4\x30\x53\x84\x24\xb1\x32\x98\xe6\xaa\x6f\xb1\x43\xef\x4d\x59\xa1\x49\x46\x17\x59\x97\x47\x9d\xbc\x2d\x1a\x3c\xd8" + ] + +keccak_key1 = "\x4a\x65\x66\x65" +keccak_data1 = + "\x77\x68\x61\x74\x20\x64\x6f\x20\x79\x61\x20\x77\x61\x6e\x74\x20\x66\x6f\x72\x20\x6e\x6f\x74\x68\x69\x6e\x67\x3f" + +keccak_224_MAC_Vectors :: [MACVector Keccak_224] +keccak_224_MAC_Vectors = + [ MACVector keccak_key1 keccak_data1 $ + digest + "\xe8\x24\xfe\xc9\x6c\x07\x4f\x22\xf9\x92\x35\xbb\x94\x2d\xa1\x98\x26\x64\xab\x69\x2c\xa8\x50\x10\x53\xcb\xd4\x14" + ] + +keccak_256_MAC_Vectors :: [MACVector Keccak_256] +keccak_256_MAC_Vectors = + [ MACVector keccak_key1 keccak_data1 $ + digest + "\xaa\x9a\xed\x44\x8c\x7a\xbc\x8b\x5e\x32\x6f\xfa\x6a\x01\xcd\xed\xf7\xb4\xb8\x31\x88\x14\x68\xc0\x44\xba\x8d\xd4\x56\x63\x69\xa1" + ] + +keccak_384_MAC_Vectors :: [MACVector Keccak_384] +keccak_384_MAC_Vectors = + [ MACVector keccak_key1 keccak_data1 $ + digest + "\x5a\xf5\xc9\xa7\x7a\x23\xa6\xa9\x3d\x80\x64\x9e\x56\x2a\xb7\x7f\x4f\x35\x52\xe3\xc5\xca\xff\xd9\x3b\xdf\x8b\x3c\xfc\x69\x20\xe3\x02\x3f\xc2\x67\x75\xd9\xdf\x1f\x3c\x94\x61\x31\x46\xad\x2c\x9d" + ] + +keccak_512_MAC_Vectors :: [MACVector Keccak_512] +keccak_512_MAC_Vectors = + [ MACVector keccak_key1 keccak_data1 $ + digest + "\xc2\x96\x2e\x5b\xbe\x12\x38\x00\x78\x52\xf7\x9d\x81\x4d\xbb\xec\xd4\x68\x2e\x6f\x09\x7d\x37\xa3\x63\x58\x7c\x03\xbf\xa2\xeb\x08\x59\xd8\xd9\xc7\x01\xe0\x4c\xec\xec\xfd\x3d\xd7\xbf\xd4\x38\xf2\x0b\x8b\x64\x8e\x01\xbf\x8c\x11\xd2\x68\x24\xb9\x6c\xeb\xbd\xcb" + ] + +sha3_key1 = "\x4a\x65\x66\x65" +sha3_data1 = + "\x77\x68\x61\x74\x20\x64\x6f\x20\x79\x61\x20\x77\x61\x6e\x74\x20\x66\x6f\x72\x20\x6e\x6f\x74\x68\x69\x6e\x67\x3f" + +sha3_224_MAC_Vectors :: [MACVector SHA3_224] +sha3_224_MAC_Vectors = + [ MACVector sha3_key1 sha3_data1 $ + digest + "\x7f\xdb\x8d\xd8\x8b\xd2\xf6\x0d\x1b\x79\x86\x34\xad\x38\x68\x11\xc2\xcf\xc8\x5b\xfa\xf5\xd5\x2b\xba\xce\x5e\x66" + ] + +sha3_256_MAC_Vectors :: [MACVector SHA3_256] +sha3_256_MAC_Vectors = + [ MACVector sha3_key1 sha3_data1 $ + digest + "\xc7\xd4\x07\x2e\x78\x88\x77\xae\x35\x96\xbb\xb0\xda\x73\xb8\x87\xc9\x17\x1f\x93\x09\x5b\x29\x4a\xe8\x57\xfb\xe2\x64\x5e\x1b\xa5" + ] + +sha3_384_MAC_Vectors :: [MACVector SHA3_384] +sha3_384_MAC_Vectors = + [ MACVector sha3_key1 sha3_data1 $ + digest + "\xf1\x10\x1f\x8c\xbf\x97\x66\xfd\x67\x64\xd2\xed\x61\x90\x3f\x21\xca\x9b\x18\xf5\x7c\xf3\xe1\xa2\x3c\xa1\x35\x08\xa9\x32\x43\xce\x48\xc0\x45\xdc\x00\x7f\x26\xa2\x1b\x3f\x5e\x0e\x9d\xf4\xc2\x0a" + ] + +sha3_512_MAC_Vectors :: [MACVector SHA3_512] +sha3_512_MAC_Vectors = + [ MACVector sha3_key1 sha3_data1 $ + digest + "\x5a\x4b\xfe\xab\x61\x66\x42\x7c\x7a\x36\x47\xb7\x47\x29\x2b\x83\x84\x53\x7c\xdb\x89\xaf\xb3\xbf\x56\x65\xe4\xc5\xe7\x09\x35\x0b\x28\x7b\xae\xc9\x21\xfd\x7c\xa0\xee\x7a\x0c\x31\xd0\x22\xa9\x5e\x1f\xc9\x2b\xa9\xd7\x7d\xf8\x83\x96\x02\x75\xbe\xb4\xe6\x20\x24" + ] + +macTests :: [Spec] +macTests = + [ describe "md5" $ mapM_ toMACTest $ zip is md5MACVectors + , describe "sha1" $ mapM_ toMACTest $ zip is sha1MACVectors + , describe "sha256" $ mapM_ toMACTest $ zip is sha256MACVectors + , describe "keccak-224" $ mapM_ toMACTest $ zip is keccak_224_MAC_Vectors + , describe "keccak-256" $ mapM_ toMACTest $ zip is keccak_256_MAC_Vectors + , describe "keccak-384" $ mapM_ toMACTest $ zip is keccak_384_MAC_Vectors + , describe "keccak-512" $ mapM_ toMACTest $ zip is keccak_512_MAC_Vectors + , describe "sha3-224" $ mapM_ toMACTest $ zip is sha3_224_MAC_Vectors + , describe "sha3-256" $ mapM_ toMACTest $ zip is sha3_256_MAC_Vectors + , describe "sha3-384" $ mapM_ toMACTest $ zip is sha3_384_MAC_Vectors + , describe "sha3-512" $ mapM_ toMACTest $ zip is sha3_512_MAC_Vectors + ] + where + toMACTest (i, macVector) = do + it + (show i) + ( HMAC.hmac (macKey macVector) (macSecret macVector) + `shouldBe` macResult macVector + ) + it + ("incr-" ++ show i) + ( HMAC.finalize + (HMAC.update (HMAC.initialize (macKey macVector)) (macSecret macVector)) + `shouldBe` macResult macVector + ) + is :: [Int] + is = [1 ..] + +data MacIncremental a = MacIncremental ByteString ByteString (HMAC.HMAC a) + deriving (Show, Eq) + +instance HashAlgorithm a => Arbitrary (MacIncremental a) where + arbitrary = do + key <- arbitraryBSof 1 89 + msg <- arbitraryBSof 1 99 + return $ MacIncremental key msg (HMAC.hmac key msg) + +data MacIncrementalList a = MacIncrementalList ByteString [ByteString] (HMAC.HMAC a) + deriving (Show, Eq) + +instance HashAlgorithm a => Arbitrary (MacIncrementalList a) where + arbitrary = do + key <- arbitraryBSof 1 89 + msgs <- choose (1, 20) >>= \n -> replicateM n (arbitraryBSof 1 99) + return $ MacIncrementalList key msgs (HMAC.hmac key (B.concat msgs)) + +macIncrementalTests :: [Spec] +macIncrementalTests = + [ testIncrProperties MD5 + , testIncrProperties SHA1 + , testIncrProperties SHA256 + , testIncrProperties SHA3_224 + , testIncrProperties SHA3_256 + , testIncrProperties SHA3_384 + , testIncrProperties SHA3_512 + ] + where + -- testIncrProperties :: HashAlgorithm a => a -> [Property] + testIncrProperties a = + describe (show a) $ do + prop "list-one" (prop_inc0 a) + prop "list-multi" (prop_inc1 a) + + prop_inc0 :: HashAlgorithm a => a -> MacIncremental a -> Bool + prop_inc0 _ (MacIncremental secret msg result) = + result `assertEq` HMAC.finalize (HMAC.update (HMAC.initialize secret) msg) + + prop_inc1 :: HashAlgorithm a => a -> MacIncrementalList a -> Bool + prop_inc1 _ (MacIncrementalList secret msgs result) = + result + `assertEq` HMAC.finalize (foldl' HMAC.update (HMAC.initialize secret) msgs) + +spec :: Spec +spec = do + describe "KATs" $ sequence_ macTests + describe "properties" $ sequence_ macIncrementalTests diff --git a/tests/MAC/KMACSpec.hs b/tests/MAC/KMACSpec.hs new file mode 100644 --- /dev/null +++ b/tests/MAC/KMACSpec.hs @@ -0,0 +1,151 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE FlexibleContexts #-} +{-# LANGUAGE FlexibleInstances #-} +{-# LANGUAGE OverloadedStrings #-} +{-# LANGUAGE RecordWildCards #-} + +module MAC.KMACSpec (spec) where + +import Crypto.Hash ( + HashAlgorithm, + SHAKE128 (..), + SHAKE256 (..), + digestFromByteString, + ) +import qualified Crypto.MAC.KMAC as KMAC + +import qualified Data.ByteString as B + +import Imports + +data MACVector hash = MACVector + { macString :: ByteString + , macKey :: ByteString + , macSecret :: ByteString + , macResult :: KMAC.KMAC hash + } + +instance Show (KMAC.KMAC a) where + show (KMAC.KMAC d) = show d + +digest :: HashAlgorithm hash => ByteString -> KMAC.KMAC hash +digest = maybe (error "cannot get digest") KMAC.KMAC . digestFromByteString + +vectors128 :: [MACVector (SHAKE128 256)] +vectors128 = + [ MACVector + { macString = "" + , macKey = B.pack [0x40 .. 0x5f] + , macSecret = B.pack [0x00 .. 0x03] + , macResult = + digest + "\xe5\x78\x0b\x0d\x3e\xa6\xf7\xd3\xa4\x29\xc5\x70\x6a\xa4\x3a\x00\xfa\xdb\xd7\xd4\x96\x28\x83\x9e\x31\x87\x24\x3f\x45\x6e\xe1\x4e" + } + , MACVector + { macString = "My Tagged Application" + , macKey = B.pack [0x40 .. 0x5f] + , macSecret = B.pack [0x00 .. 0x03] + , macResult = + digest + "\x3b\x1f\xba\x96\x3c\xd8\xb0\xb5\x9e\x8c\x1a\x6d\x71\x88\x8b\x71\x43\x65\x1a\xf8\xba\x0a\x70\x70\xc0\x97\x9e\x28\x11\x32\x4a\xa5" + } + , MACVector + { macString = "My Tagged Application" + , macKey = B.pack [0x40 .. 0x5f] + , macSecret = B.pack [0x00 .. 0xc7] + , macResult = + digest + "\x1f\x5b\x4e\x6c\xca\x02\x20\x9e\x0d\xcb\x5c\xa6\x35\xb8\x9a\x15\xe2\x71\xec\xc7\x60\x07\x1d\xfd\x80\x5f\xaa\x38\xf9\x72\x92\x30" + } + ] + +vectors256 :: [MACVector (SHAKE256 512)] +vectors256 = + [ MACVector + { macString = "My Tagged Application" + , macKey = B.pack [0x40 .. 0x5f] + , macSecret = B.pack [0x00 .. 0x03] + , macResult = + digest + "\x20\xc5\x70\xc3\x13\x46\xf7\x03\xc9\xac\x36\xc6\x1c\x03\xcb\x64\xc3\x97\x0d\x0c\xfc\x78\x7e\x9b\x79\x59\x9d\x27\x3a\x68\xd2\xf7\xf6\x9d\x4c\xc3\xde\x9d\x10\x4a\x35\x16\x89\xf2\x7c\xf6\xf5\x95\x1f\x01\x03\xf3\x3f\x4f\x24\x87\x10\x24\xd9\xc2\x77\x73\xa8\xdd" + } + , MACVector + { macString = "" + , macKey = B.pack [0x40 .. 0x5f] + , macSecret = B.pack [0x00 .. 0xc7] + , macResult = + digest + "\x75\x35\x8c\xf3\x9e\x41\x49\x4e\x94\x97\x07\x92\x7c\xee\x0a\xf2\x0a\x3f\xf5\x53\x90\x4c\x86\xb0\x8f\x21\xcc\x41\x4b\xcf\xd6\x91\x58\x9d\x27\xcf\x5e\x15\x36\x9c\xbb\xff\x8b\x9a\x4c\x2e\xb1\x78\x00\x85\x5d\x02\x35\xff\x63\x5d\xa8\x25\x33\xec\x6b\x75\x9b\x69" + } + , MACVector + { macString = "My Tagged Application" + , macKey = B.pack [0x40 .. 0x5f] + , macSecret = B.pack [0x00 .. 0xc7] + , macResult = + digest + "\xb5\x86\x18\xf7\x1f\x92\xe1\xd5\x6c\x1b\x8c\x55\xdd\xd7\xcd\x18\x8b\x97\xb4\xca\x4d\x99\x83\x1e\xb2\x69\x9a\x83\x7d\xa2\xe4\xd9\x70\xfb\xac\xfd\xe5\x00\x33\xae\xa5\x85\xf1\xa2\x70\x85\x10\xc3\x2d\x07\x88\x08\x01\xbd\x18\x28\x98\xfe\x47\x68\x76\xfc\x89\x65" + } + ] + +macTests :: [Spec] +macTests = + [ describe "SHAKE128" $ mapM_ toMACTest $ zip is vectors128 + , describe "SHAKE256" $ mapM_ toMACTest $ zip is vectors256 + ] + where + toMACTest (i, MACVector{..}) = do + it (show i) (KMAC.kmac macString macKey macSecret `shouldBe` macResult) + it + ("incr-" ++ show i) + ( KMAC.finalize (KMAC.update (KMAC.initialize macString macKey) macSecret) + `shouldBe` macResult + ) + is :: [Int] + is = [1 ..] + +data MacIncremental a = MacIncremental ByteString ByteString ByteString (KMAC.KMAC a) + deriving (Show, Eq) + +instance KMAC.HashSHAKE a => Arbitrary (MacIncremental a) where + arbitrary = do + str <- arbitraryBSof 0 49 + key <- arbitraryBSof 1 89 + msg <- arbitraryBSof 1 99 + return $ MacIncremental str key msg (KMAC.kmac str key msg) + +data MacIncrementalList a + = MacIncrementalList ByteString ByteString [ByteString] (KMAC.KMAC a) + deriving (Show, Eq) + +instance KMAC.HashSHAKE a => Arbitrary (MacIncrementalList a) where + arbitrary = do + str <- arbitraryBSof 0 49 + key <- arbitraryBSof 1 89 + msgs <- choose (1, 20) >>= \n -> replicateM n (arbitraryBSof 1 99) + return $ MacIncrementalList str key msgs (KMAC.kmac str key (B.concat msgs)) + +macIncrementalTests :: [Spec] +macIncrementalTests = + [ testIncrProperties "SHAKE128_256" (SHAKE128 :: SHAKE128 256) + , testIncrProperties "SHAKE256_512" (SHAKE256 :: SHAKE256 512) + ] + where + testIncrProperties :: KMAC.HashSHAKE a => String -> a -> Spec + testIncrProperties name a = + describe name $ do + prop "list-one" (prop_inc0 a) + prop "list-multi" (prop_inc1 a) + + prop_inc0 :: KMAC.HashSHAKE a => a -> MacIncremental a -> Bool + prop_inc0 _ (MacIncremental str secret msg result) = + result `assertEq` KMAC.finalize (KMAC.update (KMAC.initialize str secret) msg) + + prop_inc1 :: KMAC.HashSHAKE a => a -> MacIncrementalList a -> Bool + prop_inc1 _ (MacIncrementalList str secret msgs result) = + result + `assertEq` KMAC.finalize (foldl' KMAC.update (KMAC.initialize str secret) msgs) + +spec :: Spec +spec = do + describe "KATs" $ sequence_ macTests + describe "properties" $ sequence_ macIncrementalTests diff --git a/tests/MAC/Poly1305Spec.hs b/tests/MAC/Poly1305Spec.hs new file mode 100644 --- /dev/null +++ b/tests/MAC/Poly1305Spec.hs @@ -0,0 +1,84 @@ +{-# LANGUAGE OverloadedStrings #-} + +module MAC.Poly1305Spec (spec) where + +import qualified Data.ByteString as B +import qualified Data.ByteString.Char8 as B () + +import Crypto.Error +import Imports + +import qualified Crypto.MAC.Poly1305 as Poly1305 +import qualified Data.ByteArray as B (convert) + +import qualified MAC.Poly1305Vectors as Vectors + +instance Show Poly1305.Auth where + show _ = "Auth" + +-- The key is part of this: with the all-zero key the property below held +-- whatever either side did, r being zero and the tag therefore the nonce -- +-- which is how it came to feed the chunks in the wrong order and pass. +data Chunking = Chunking Int Int ByteString + deriving (Show, Eq) + +instance Arbitrary Chunking where + arbitrary = + Chunking <$> choose (1, 34) <*> choose (1, 2048) <*> arbitraryBS 32 + +-- | The key is checked once, and then 'Poly1305.initialize' and +-- 'Poly1305.auth' cannot fail. +mkKey :: ByteString -> Poly1305.Key +mkKey = throwCryptoError . Poly1305.key + +spec :: Spec +spec = do + describe "key" $ do + it "takes thirty-two bytes" $ + isPassed (Poly1305.key (B.replicate 32 0x41)) `shouldBe` True + it "refuses any other length" $ + [n | n <- [0, 1, 16, 31, 33, 64], isPassed (Poly1305.key (B.replicate n 0x41))] + `shouldBe` [] + it "says which error" $ + -- Key has no Show, on purpose: it is key material + errorOf (Poly1305.key (B.replicate 31 0x41)) + `shouldBe` Just CryptoError_MacKeyInvalid + it "V0" $ + let k = + "\x85\xd6\xbe\x78\x57\x55\x6d\x33\x7f\x44\x52\xfe\x42\xd5\x06\xa8\x01\x03\x80\x8a\xfb\x0d\xb2\xfd\x4a\xbf\xf6\xaf\x41\x49\xf5\x1b" + :: ByteString + msg = "Cryptographic Forum Research Group" :: ByteString + tag = + "\xa8\x06\x1d\xc1\x30\x51\x36\xc6\xc2\x2b\x8b\xaf\x0c\x01\x27\xa9" :: ByteString + in B.convert (Poly1305.auth (mkKey k) msg) `shouldBe` tag + describe "vectors" $ mapM_ vectorTest Vectors.vectors + prop "Chunking" $ \(Chunking chunkLen totalLen k) -> + let msg = B.pack $ take totalLen $ concat (replicate 10 [1 .. 255]) + kk = mkKey k + in Poly1305.auth kk msg + == Poly1305.finalize + (foldl Poly1305.update (Poly1305.initialize kk) (chunks chunkLen msg)) + where + isPassed (CryptoPassed _) = True + isPassed (CryptoFailed _) = False + errorOf (CryptoFailed e) = Just e + errorOf (CryptoPassed _) = Nothing + vectorTest (ki, mi, len, expected) = + it + ( "key " + ++ show ki + ++ ", message " + ++ show mi + ++ ", " + ++ show len + ++ " bytes" + ) + $ B.convert + ( Poly1305.auth + (mkKey (Vectors.polyKey ki)) + (Vectors.polyMessage mi len) + ) + `shouldBe` expected + chunks i bs + | B.length bs < i = [bs] + | otherwise = let (b1, b2) = B.splitAt i bs in b1 : chunks i b2 diff --git a/tests/MAC/Poly1305Vectors.hs b/tests/MAC/Poly1305Vectors.hs new file mode 100644 --- /dev/null +++ b/tests/MAC/Poly1305Vectors.hs @@ -0,0 +1,375 @@ +{-# LANGUAGE OverloadedStrings #-} + +-- | Poly1305 tags from OpenSSL 3.6.4 through EVP_MAC, over patterned keys +-- and messages at lengths either side of the block size and of the groups +-- the bulk loops take. +-- +-- The keys are worth looking at: key 1 is every bit set, which the clamping +-- cuts down to the largest r the algorithm allows, and key 2 has r = 1. +-- Together with the all-ones messages those are what drive the accumulator +-- up against 2^130 - 5, which is where an implementation's carries either +-- work or do not. +module MAC.Poly1305Vectors ( + KATPoly1305, + polyKey, + polyMessage, + vectors, +) where + +import qualified Data.ByteString as B +import Data.ByteString.Char8 () +import Data.Word (Word8) + +-- (key, message pattern, message length, tag) +type KATPoly1305 = (Int, Int, Int, B.ByteString) + +polyKey :: Int -> B.ByteString +polyKey 0 = B.pack [fromIntegral (0x40 + i) :: Word8 | i <- [0 .. 31 :: Int]] +polyKey 1 = B.replicate 32 0xff +polyKey 2 = B.singleton 1 `B.append` B.replicate 31 0 +polyKey _ = B.pack [fromIntegral (i * 7 + 3) :: Word8 | i <- [0 .. 31 :: Int]] + +polyMessage :: Int -> Int -> B.ByteString +polyMessage 0 n = B.replicate n 0 +polyMessage 1 n = B.replicate n 0xff +polyMessage _ n = B.pack [fromIntegral (i * 7 + 3) :: Word8 | i <- [0 .. n - 1]] + +vectors :: [KATPoly1305] +vectors = + [ (0, 0, 0, "\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f") + , (0, 0, 1, "\x5f\x91\x93\x95\x57\x99\x9b\x9d\x5f\xa1\xa3\xa5\x67\xa9\xab\xad") + , (0, 0, 15, "\x20\x64\x56\xe8\x2a\x6d\x5f\xf1\x33\x76\x68\xfa\x3c\x7f\x71\x9f") + , (0, 0, 16, "\xe0\x22\x65\x57\xe9\x2b\x6e\x60\xf2\x34\x77\x69\xfb\x3d\x80\x72") + , (0, 0, 17, "\x80\x32\xd6\x2b\xb6\x3a\x5d\xeb\x76\xb6\x52\x14\x9c\x91\xa2\x92") + , (0, 0, 31, "\x3c\x05\x99\x7e\x89\x0e\x21\x3f\x4b\x8b\x17\x69\x71\x67\x68\x84") + , (0, 0, 32, "\xfc\xc3\xa7\xed\x47\xcd\x2f\xae\x09\x4a\x26\xd8\x2f\x26\x77\x57") + , (0, 0, 33, "\x4e\x31\xba\x66\xd7\x64\xd4\x9a\x3b\x50\x48\xaf\x3d\x5e\x1c\x4b") + , (0, 0, 48, "\xca\xc2\x8b\x28\x69\xf7\xa6\x5d\xce\xe3\x1b\x73\xd1\xf2\xf0\x0f") + , (0, 0, 63, "\xa0\x75\x12\xc0\x68\x81\x66\xaf\xbd\x35\x7f\xdd\x1d\x85\x93\x78") + , (0, 0, 64, "\x5b\x34\x21\x2f\x27\x40\x75\x1e\x7c\xf4\x8d\x4c\xdc\x43\xa2\x4b") + , (0, 0, 65, "\xb0\x0a\xac\x16\x14\x0d\x22\xf8\xea\x1c\x63\x2a\xa4\xf4\xe6\xa4") + , (0, 0, 95, "\x57\x7c\x6c\x1e\x14\x3f\xce\x8d\xdd\xdd\xe8\x30\x83\x44\xbc\x9f") + , (0, 0, 96, "\x17\x3b\x7b\x8d\xd2\xfd\xdc\xfc\x9b\x9c\xf7\x9f\x41\x03\xcb\x72") + , (0, 0, 97, "\xb6\x00\xf4\xcb\xe5\xf0\xe6\x2c\x13\x77\xc0\x56\xe2\xc4\x3e\xfb") + , (0, 0, 127, "\x62\xe9\xab\x54\xe9\x73\x2c\xf0\x6a\x36\xd9\x85\x88\xa4\xc5\x1e") + , (0, 0, 128, "\x1d\xa8\xba\xc3\xa7\x32\x3b\x5f\x29\xf5\xe7\xf4\x46\x63\xd4\xf1") + , (0, 0, 129, "\x6b\x5a\xe6\x91\x98\x67\x6f\x9c\xd0\xe7\xce\x11\xf5\x51\x43\x56") + , (0, 0, 191, "\x34\xf2\xf5\xe5\x00\x93\x9f\x79\x9b\xe4\xc1\xd3\xa8\x31\xc2\x4d") + , (0, 0, 192, "\xf4\xb0\x04\x55\xbf\x51\xae\xe8\x59\xa3\xd0\x42\x67\xf0\xd0\x20") + , (0, 0, 255, "\xc8\xae\x35\x70\x15\x3c\xcb\x35\xa5\x49\x53\xda\x08\xb1\x0b\x39") + , (0, 0, 256, "\x88\x6d\x44\xdf\xd3\xfa\xd9\xa4\x63\x08\x62\x49\xc7\x6f\x1a\x0c") + , (0, 0, 257, "\x74\x1b\x9c\xd4\xc3\xc7\x45\xf2\x1b\xca\x71\x64\x6b\xe6\xb8\x1e") + , (0, 0, 1023, "\x5e\xb3\xd4\x07\x60\x46\xba\xf7\x3f\x5b\x43\x23\xf2\xa7\xa0\x99") + , (0, 0, 1024, "\x1e\x72\xe3\x76\x1e\x05\xc9\x66\xfe\x19\x52\x92\xb0\x66\xaf\x6c") + , (0, 0, 1025, "\x44\xef\xa3\x46\x95\x94\xac\x88\x45\xde\x91\xed\xf0\xb1\x67\x79") + , (0, 0, 4096, "\x67\x6f\xd3\x2b\x9b\x8b\x98\x8b\x9a\xc9\x4a\x43\xb4\xa3\xc3\x05") + , (0, 0, 8191, "\x9e\x5c\x85\x39\xbe\x9a\x49\x7c\xaa\x51\x5a\x34\x71\x73\x11\x2f") + , (0, 1, 0, "\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f") + , (0, 1, 1, "\x33\x90\x92\xd4\x16\x98\x9a\xdc\x1e\xa0\xa2\xe4\x26\xa8\xaa\xec") + , (0, 1, 15, "\xb0\x35\x18\x7a\xbd\x3f\x22\x84\xc7\x49\x2c\x8e\xd1\x53\x36\xd0") + , (0, 1, 16, "\x30\xb3\x35\x58\x3a\xbd\x3f\x62\x44\xc7\x49\x6c\x4e\xd1\x53\x76") + , (0, 1, 17, "\xbd\x84\xe2\x88\xbb\x59\xe9\x39\xa1\xec\xa7\x9c\x32\x25\x06\x99") + , (0, 1, 31, "\x3a\x2a\x68\x2e\x62\x01\x71\xe1\x49\x96\x31\x46\xdd\xd0\x91\x7c") + , (0, 1, 32, "\xba\xa7\x85\x0c\xdf\x7e\x8e\xbf\xc6\x13\x4f\x24\x5a\x4e\xaf\x22") + , (0, 1, 33, "\x84\xb6\x8d\xcf\x49\x8c\xab\x3f\x8d\x0b\x35\xf0\x5a\xb4\xfe\x0f") + , (0, 1, 48, "\x7c\xd9\x30\x53\x6d\xb1\x50\xc5\xb2\x32\xdc\x77\x82\xdd\xa7\x99") + , (0, 1, 63, "\xae\x4a\x60\xe3\x3a\x8b\xf7\x34\xd3\x62\x14\x05\x79\xf4\x2b\x3b") + , (0, 1, 64, "\x2e\xc8\x7d\xc1\xb7\x08\x15\x13\x50\xe0\x31\xe3\xf5\x71\x49\xe1") + , (0, 1, 65, "\x60\xbb\x7c\x6f\x5f\x89\xd5\xe2\x92\x67\x88\x1d\x09\x9c\xbe\x7b") + , (0, 1, 95, "\xf4\x85\xff\xba\x3b\xd5\x40\xa6\x2c\xc6\x2c\x69\xbf\x73\xf6\x36") + , (0, 1, 96, "\x6f\x03\x1d\x99\xb8\x52\x5e\x84\xa9\x43\x4a\x47\x3c\xf1\x13\xdd") + , (0, 1, 97, "\x33\x7c\x39\x7c\xc1\x9a\x8e\x88\x29\x3a\xc5\x52\xed\x95\xc1\x49") + , (0, 1, 127, "\xcb\x08\xb2\x95\x3b\xae\x7e\x4f\xd6\x96\xb3\x68\x5f\x4d\x9b\x02") + , (0, 1, 128, "\x4b\x86\xcf\x73\xb8\x2b\x9c\x2d\x53\x14\xd1\x46\xdc\xca\xb8\xa8") + , (0, 1, 129, "\xd6\xe7\xf5\x9c\x31\x29\xff\xa7\xd9\x27\x70\x66\x9d\xa5\x60\x1d") + , (0, 1, 191, "\xcb\x79\xa4\xdd\x57\xa0\xd5\x5a\xdd\x67\x64\xf9\x52\x90\xfd\x3a") + , (0, 1, 192, "\x46\xf7\xc1\xbb\xd4\x1d\xf3\x38\x5a\xe5\x81\xd7\xcf\x0d\x1b\xe1") + , (0, 1, 255, "\xe4\x28\x24\x1d\x0a\x38\x3d\xd6\xb5\x7a\xac\x67\xf9\xf5\x88\x88") + , (0, 1, 256, "\x5f\xa6\x41\xfb\x86\xb5\x5a\xb4\x32\xf8\xc9\x45\x76\x73\xa6\x2e") + , (0, 1, 257, "\x15\x69\x36\x20\xff\x02\x9a\xa8\xcd\x9d\x33\x63\x2b\xbe\xed\x0d") + , (0, 1, 1023, "\x98\x61\x49\x06\xca\xaa\xf5\xbe\xa2\x5c\x99\x25\xde\xb7\x3b\xc9") + , (0, 1, 1024, "\x13\xdf\x66\xe4\x46\x28\x13\x9d\x1f\xda\xb6\x03\x5b\x35\x59\x6f") + , (0, 1, 1025, "\x75\x9a\x0c\xa9\x2d\x5f\x15\x5d\xcc\x82\xc0\x07\x32\x7f\xbf\x7a") + , (0, 1, 4096, "\xd6\xdb\x86\xbd\x0f\x30\x0c\x96\x74\x46\xe1\xa4\x92\x7e\x71\x8d") + , (0, 1, 8191, "\x15\x93\x50\xa8\xd4\xdc\xd4\x2a\xbc\xea\xb4\xd3\xa9\x45\xf6\xe2") + , (0, 2, 0, "\x50\x51\x52\x53\x54\x55\x56\x57\x58\x59\x5a\x5b\x5c\x5d\x5e\x5f") + , (0, 2, 1, "\x1f\x55\x5a\x9f\x23\x69\x6e\xb3\x37\x7d\x82\xc7\x4b\x91\x96\xdb") + , (0, 2, 15, "\x3b\xdf\xb2\xf6\x07\x93\x47\x65\x49\xa0\x19\xf5\x8f\x96\xb8\x01") + , (0, 2, 16, "\x60\x8e\x79\x43\x4d\x60\x2c\xd0\xac\x8b\x1c\x7e\x11\xa0\xd9\xdc") + , (0, 2, 17, "\xf4\x27\x1a\xd8\x3e\x68\xcd\x2c\x40\x26\x0d\x51\x8f\xf2\x64\xe7") + , (0, 2, 31, "\xdc\x4e\xd3\x5a\xda\x9c\x04\x97\x25\x00\x3e\x02\x02\x99\x9a\x5a") + , (0, 2, 32, "\xb0\x39\x62\xd9\x00\xd8\xe3\x65\x9c\x8b\x6d\x21\xc9\x74\x1a\x3e") + , (0, 2, 33, "\xf3\x10\xd2\x3a\xfc\xb6\x7f\x4d\x6f\x8d\x95\x06\x3e\xd3\xb1\x54") + , (0, 2, 48, "\x99\xe5\x5f\xe8\x87\x52\x38\xc3\x99\xc7\xd1\xdd\xa0\x15\xbf\xbe") + , (0, 2, 63, "\xa1\x38\xe8\xc8\x77\x9c\x80\xf3\xac\x50\x84\x2b\x7f\x01\x72\x4e") + , (0, 2, 64, "\x48\xc9\xf4\xa6\xcb\xdc\x3c\x81\xb0\x40\xf0\x68\x32\xa1\x8d\x2f") + , (0, 2, 65, "\x2f\x59\x9e\xf7\x24\xb2\x3a\xdf\x6c\x73\xb4\x78\x0c\xa2\x1d\xb6") + , (0, 2, 95, 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"\x00\xb7\xba\x4c\x40\x90\x6c\xca\x82\xfb\x06\xb1\x1a\x53\x48\xea") + , (3, 0, 32, "\x3b\xee\xc5\xb3\x73\xc7\x9f\x09\xb6\x32\x62\xc8\x4d\x8a\xb7\xf6") + , (3, 0, 33, "\x9c\x1a\x1e\x2b\x12\x97\xaa\xfc\x50\xb8\x6e\x81\xd0\x00\xc0\x88") + , (3, 0, 48, "\x0d\x64\x29\x24\xad\xea\xbc\xd4\x12\x13\x88\x38\xb9\x62\xe0\x32") + , (3, 0, 63, "\xe7\x60\x81\x2c\x17\x5f\xa3\xd2\x5a\xb5\xf9\xa0\xbb\xa3\xa7\xdd") + , (3, 0, 64, "\x1d\x98\x8c\x93\x4a\x96\xd6\x11\x8e\xec\x54\xb8\xee\xda\x16\xea") + , (3, 0, 65, "\x7e\x5d\xcf\xbc\xde\x22\x8b\x75\xad\x1a\x88\x44\xb3\x62\xfb\xd3") + , (3, 0, 95, "\xd1\x24\xdf\xb8\x7b\xc3\x0c\x6d\xe9\x4a\x72\x37\xeb\x25\xc9\x95") + , (3, 0, 96, "\x07\x5c\xea\x1f\xaf\xfa\x3f\xac\x1c\x82\xcd\x4e\x1e\x5d\x38\xa2") + , (3, 0, 97, "\xaa\x75\x6f\x48\x7c\xc6\x03\x92\x25\xe7\x85\xc5\x00\xc6\x76\xbb") + , (3, 0, 127, "\xa9\x67\xa2\xea\xff\xaf\x32\x7a\xdf\x56\xf8\x44\xd2\x08\x3b\xf9") + , (3, 0, 128, "\xdf\x9e\xad\x51\x33\xe7\x65\xb9\x12\x8e\x53\x5c\x05\x40\xaa\x05") + , (3, 0, 129, "\x6f\xf4\xd0\x8f\xed\x62\xd2\x78\x66\x20\x24\xe4\x3b\x02\x27\x7b") + , (3, 0, 191, "\x12\x74\xd7\x6e\xa0\x0c\x65\x0c\xe4\x2c\xb9\xf8\x6e\x86\xc5\xa0") + , (3, 0, 192, "\x4d\xab\xe2\xd5\xd3\x43\x98\x4b\x17\x64\x14\x10\xa2\xbd\x34\xad") + , (3, 0, 255, "\x2e\x72\x79\xb4\x86\x0f\xb8\x4f\x8f\x2c\xcc\xfa\x16\x10\xeb\x2d") + , (3, 0, 256, "\x64\xa9\x84\x1b\xba\x46\xeb\x8e\xc2\x63\x27\x12\x4a\x47\x5a\x3a") + , (3, 0, 257, "\x1d\xce\xdc\xfc\x31\x6f\xc9\x27\xd6\x40\xde\xa3\xa5\x27\xb2\x39") + , (3, 0, 1023, "\xdf\xab\x40\xfd\xcb\x6d\x49\xa4\x68\xb2\x27\x10\xb3\x3f\x47\x48") + , (3, 0, 1024, "\x15\xe3\x4b\x64\xff\xa4\x7c\xe3\x9b\xe9\x82\x27\xe6\x76\xb6\x54") + , (3, 0, 1025, "\xb3\x73\xd8\xb5\xef\x8d\xd8\x56\x3d\x37\x0e\x1c\x9f\xbb\xe9\xf9") + , (3, 0, 4096, "\x0e\xa3\x46\xb2\xe1\x7e\xc9\x4f\xfc\xcb\x5d\xcf\xb8\x31\xdc\x5d") + , (3, 0, 8191, "\x3e\xaf\x23\x2b\x79\x15\x05\xe0\xb9\x02\x31\xa5\x76\x72\x3c\x48") + , (3, 1, 0, "\x73\x7a\x81\x88\x8f\x96\x9d\xa4\xab\xb2\xb9\xc0\xc7\xce\xd5\xdc") + , (3, 1, 1, "\x8e\x76\x84\xa2\x83\xa8\xbc\xfa\x7b\xe0\xf4\x52\x74\x18\x2d\x9b") + , (3, 1, 15, "\x04\x9b\x84\xc6\x52\xe1\x7a\x2c\x99\x27\x71\x92\xdf\x6d\x8f\xd6") + , (3, 1, 16, "\x75\x09\x9b\x94\xb9\x4f\xe1\xaa\xff\x95\x27\xc1\x45\xdc\x6d\xef") + , (3, 1, 17, "\x78\x72\x23\x97\x9e\xc3\xae\x6d\x34\xfd\x1d\xc2\x30\x1f\xd7\xda") + , (3, 1, 31, "\xf3\x96\x23\xbb\x6d\xfc\x6c\x9f\x51\x44\x9a\x01\x9c\x74\x39\x16") + , (3, 1, 32, "\x5f\x05\x3a\x89\xd4\x6a\xd3\x1d\xb8\xb2\x50\x30\x02\xe3\x17\x2f") + , (3, 1, 33, "\x7b\x99\x67\x84\xe3\xed\x04\xfb\xd6\x70\x4b\xe2\xe4\x22\x08\x23") + , (3, 1, 48, "\x62\x2c\x7e\x76\x19\x95\x29\xab\x5a\x26\x7e\x50\xb6\xe6\x48\x77") + , (3, 1, 63, "\xd0\x62\x78\x94\x6f\xc1\xae\x0f\x88\x56\x8a\x21\x5d\xd5\xab\xa0") + , (3, 1, 64, "\x41\xd1\x8e\x62\xd6\x2f\x15\x8e\xee\xc4\x40\x50\xc3\x43\x8a\xb9") + , (3, 1, 65, "\x54\x83\x6f\x66\x3f\x2f\xdf\x58\xac\xb3\x36\x99\x8e\xcb\xb5\xe3") + , (3, 1, 95, "\x1f\x81\x82\xd6\x81\xd3\xc6\x95\x99\xa3\xb4\x6f\xc9\xa4\x6d\x4a") + , (3, 1, 96, "\x90\xef\x98\xa4\xe8\x41\x2d\x14\x00\x12\x6b\x9e\x2f\x13\x4c\x63") + , (3, 1, 97, "\xc1\x06\x96\xa7\x2f\x8d\x09\x7b\x3c\xdc\x00\x34\x85\x0f\x7d\xf9") + , (3, 1, 127, "\xef\x6a\x06\xdf\x86\x22\xc1\xd8\xc0\x7e\x55\xe6\x11\xb5\x5c\x5b") + , (3, 1, 128, "\x5b\xd9\x1c\xad\xed\x90\x27\x57\x27\xed\x0b\x15\x78\x23\x3b\x74") + , (3, 1, 129, "\x46\x05\x0b\xca\xea\x48\xce\x5c\x8a\xba\xbe\x58\xff\x8a\x50\xac") + , (3, 1, 191, "\x70\x13\x46\x17\xe1\xc4\x30\x88\xf9\xe5\x3c\xf1\xcd\x4b\x69\x24") + , (3, 1, 192, "\xdc\x81\x5c\xe5\x47\x33\x97\x06\x60\x54\xf3\x1f\x34\xba\x47\x3d") + , (3, 1, 255, "\xf7\xdd\x6e\x04\x8f\xfb\x2d\x0c\xc7\x18\xba\xf3\xfd\xf0\x2f\x34") + , (3, 1, 256, "\x63\x4c\x85\xd2\xf5\x69\x94\x8a\x2d\x87\x70\x22\x64\x5f\x0e\x4d") + , (3, 1, 257, "\x45\xd7\xb2\x19\x70\x24\x5d\xc8\x76\xe1\x6a\xd8\x17\xeb\x5d\xf7") + , (3, 1, 1023, "\x65\x56\xc4\x5b\x15\xd3\x42\x0b\xff\x52\x8e\x40\xb9\xc3\xd1\x53") + , (3, 1, 1024, "\xd1\xc4\xda\x29\x7c\x41\xa9\x89\x65\xc1\x44\x6f\x1f\x32\xb0\x6c") + , (3, 1, 1025, "\x01\x9e\xad\xf7\x86\x7c\xa2\xcd\x25\x09\x3e\x02\x10\x03\x07\xde") + , (3, 1, 4096, "\x31\xab\x07\x21\xf2\x46\xd2\x3e\xd9\x9d\x7e\x05\xe9\xab\x10\xde") + , (3, 1, 8191, "\xd7\xc0\xd4\x92\x4b\x9c\xbd\x1f\xfa\x4c\x66\xf3\xa3\x00\xf8\x86") + , (3, 2, 0, "\x73\x7a\x81\x88\x8f\x96\x9d\xa4\xab\xb2\xb9\xc0\xc7\xce\xd5\xdc") + , (3, 2, 1, "\x8b\x9b\xbe\xb1\xeb\x24\x4b\xde\x57\xb1\xd7\x0a\xc4\x3d\x64\x67") + , (3, 2, 15, "\x7f\xc5\xb4\xd6\xda\xf9\x4c\xda\x60\xd0\xfa\x66\xe3\x16\x30\x39") + , (3, 2, 16, "\x00\xf9\x00\x06\x27\x00\xb4\xa3\x7f\xa9\x7c\xca\xd4\xc2\x28\x90") + , (3, 2, 17, "\x2d\x5d\xb7\xae\xee\xb7\x09\xd6\xc7\xe3\xf4\x39\xee\xd7\x3b\xd0") + , (3, 2, 31, "\xd2\x3a\x59\x9f\x59\x9b\x7d\x62\xfe\xa1\x87\x22\x24\x18\xec\x88") + , (3, 2, 32, "\xcb\xbf\x0e\x23\x7d\x52\x2d\xce\x53\x8b\x31\x76\xab\x33\xac\x36") + , (3, 2, 33, "\x3f\x68\xd1\xc1\x88\x18\x77\x00\x31\xeb\x9a\xb9\xad\x1a\xed\xba") + , (3, 2, 48, "\x0e\x5f\x30\xa8\x47\xe3\x32\x37\x21\x00\xa4\xdc\x54\x6f\xa9\x3b") + , (3, 2, 63, "\x0f\x7c\x9f\x25\x29\xe6\x54\x3f\x25\x22\xbd\x2c\x6a\x20\x83\x2f") + , (3, 2, 64, "\x78\x57\x12\x48\x58\x8f\x5d\xea\x21\x99\x5b\x60\x34\x65\x53\x7b") + , (3, 2, 65, "\x25\xe3\xed\x15\xa5\x78\x8e\x53\x98\xec\x13\x2c\x8f\x5a\xe4\xf8") + , (3, 2, 95, "\xf3\xb9\x08\x15\x0c\x87\x05\x8a\xb8\xe8\x96\xbb\x0d\xae\x41\x36") + , (3, 2, 96, "\xcc\xeb\x38\xd6\x46\x22\x67\x74\x5c\xed\x29\xcf\x1a\x1c\x22\x20") + , (3, 2, 97, "\x5e\x4d\x61\xd7\x7e\x46\xc2\xac\x18\x88\x12\x02\x42\x35\x4f\x1c") + , (3, 2, 127, "\x4c\x4c\x4c\x1a\xe7\x66\x2f\xb2\x2d\xdd\x06\xf8\x78\xea\x39\x0a") + , (3, 2, 128, "\x95\xd4\x39\x7a\x2d\xf4\xe9\xdb\x78\x6f\x8e\xeb\xc8\x81\x2a\x92") + , (3, 2, 129, "\x39\xc5\xbd\x6b\x01\xc7\x0c\x76\x81\xc8\xbb\x75\xa4\xf7\x8f\x4c") + , (3, 2, 191, "\x18\xaf\xb1\xeb\xf6\xce\xd4\xe4\xe0\xd1\x39\x0c\xf8\x5c\x2b\x82") + , (3, 2, 192, "\x41\xe4\x19\x89\x54\x40\x41\x8d\x7a\x7f\xaa\xbf\xcd\x46\x3c\x46") + , (3, 2, 255, "\xc9\x40\x39\x72\x8f\x24\x2c\x6a\x1d\x32\xec\xf2\x51\x77\x3c\x73") + , (3, 2, 256, "\x52\x6f\x31\x57\xa7\xe9\x82\x96\xcb\x8d\xa1\x66\x96\x69\xec\x82") + , (3, 2, 257, "\x2b\xa9\xcc\xcf\x60\x2a\xf7\x42\xf5\x4d\x3f\xed\xcc\xa3\xf0\xee") + , (3, 2, 1023, "\x7b\x31\x59\xeb\x2d\x3c\x78\x6d\xb6\x98\xf3\x02\x43\x32\x57\xac") + , (3, 2, 1024, "\x04\x60\x51\xd0\x45\x01\xcf\x99\x64\xf4\xa8\x76\x87\x24\x07\xbc") + , (3, 2, 1025, "\x54\xf4\x5c\x58\x7e\x82\x4d\x01\x28\x48\xcb\xa7\x1a\x44\x06\xad") + , (3, 2, 4096, "\x63\x86\x57\x0e\xdd\xc2\xd7\xcf\x95\x72\xdb\xb5\x15\x17\xf7\x5c") + , (3, 2, 8191, "\xd2\x60\xb6\x4a\x6c\x0c\x2f\x78\x19\x14\xfe\x10\x91\xe7\xd3\xab") + ] diff --git a/tests/Number.hs b/tests/Number.hs deleted file mode 100644 --- a/tests/Number.hs +++ /dev/null @@ -1,87 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module Number (tests) where - -import Imports - -import Data.ByteArray (Bytes) -import qualified Data.ByteArray as B -import Crypto.Number.Basic -import Crypto.Number.Generate -import qualified Crypto.Number.Serialize as BE -import qualified Crypto.Number.Serialize.LE as LE -import Crypto.Number.Prime -import Crypto.Number.ModArithmetic -import Data.Bits - -serializationVectors :: [(Int, Integer, ByteString)] -serializationVectors = - [ (128, 468189858948067662094510918729062682059955669513914188715630930503497261316361784677177564296207557978182700664806717692596876084916561811001371208806217360635705059859428069669992937334724312890015700331031248133952795914192719979937664050389500162437642525331653766885896869239678885404647468665996400635, "\x00\xaa\xae\x74\xc8\xec\x3c\x36\x06\x5e\x46\xca\x8e\x57\xab\x09\x87\xfd\xcd\x1f\xa4\xe7\xf9\xd2\x60\xd5\x4a\x1b\x74\xdc\xa8\x75\xd8\xdd\xff\x2b\x74\x28\x14\x59\x67\x6c\x82\xae\xa3\xa5\x1d\x3f\xb4\xb7\xfe\x5c\xd2\xf0\x7f\xd8\xd9\xa9\xb0\xce\x26\xc1\x26\x74\x96\xf5\xf6\x4c\x8f\x66\x7f\x5d\xf1\x68\x38\xd4\x03\x62\xe9\x30\xc8\xa1\xc1\x84\x97\x62\x20\xfd\xd7\x03\x35\xc1\x25\x45\x1b\x86\x81\x3d\xa4\x92\xc0\xd3\xdd\xfa\x86\x1d\xdf\x0a\xbb\xf4\xc0\x56\xf7\xa2\xb0\x3b\x52\xf7\xa5\x89\x4c\x69\x34\x91\x46\xd9\x57\xfb") - , (128, 40031303476923779996794876613623495515025748694978019540894726181695410095832601107261950025830235596060960914255795497479135806963313279476038687192202016132891881954743054164975707083302554941058329647014950354509055121290280892911153779672733723699997592027662953953692834215577119173225643193201177329, "\x00\x0e\x97\xf9\xd5\x79\xb9\x90\x7c\x85\x48\x49\x01\x19\x64\xfb\x76\x31\xcd\x51\xfb\x8a\x9d\x55\xe5\xd3\x7b\x87\x2d\xad\x63\x2d\x6b\x1c\x84\x3f\x65\x95\xb6\xf3\x1a\xa9\x43\x3f\x06\x46\x7b\xf8\xf3\x35\x45\x84\x11\x56\x91\x53\x43\xd7\xe1\x6d\x80\x64\x14\x45\x35\x4e\x93\x7d\x5e\x48\xec\xe0\x79\x7b\x44\x8e\xab\x0f\xc4\x5f\xc6\xa1\x71\xee\x37\xb1\x55\x51\x98\x44\x57\xe3\xc3\x56\x3a\x50\x27\xaf\xa5\x1d\x1a\x0a\x90\x19\x0d\x14\xed\x3d\x93\x40\x62\x76\xa3\xaa\x00\x23\x86\xca\x98\xb2\x6e\x02\x43\xa7\xbc\xb1\xb2\xf1") - , (128, 75152325976543603337003024341071663845101857195436434620947904288957274825323005869230041326941600298094896018190395352332646796347130114769768242670539699217743549573961461985255265474392937773768121046339453584830072421569334022498680626938734088755136253492360177084153487115846920446085149631919580041, "\x00\x1b\x65\xb1\x73\x74\xed\xd2\xcb\xb8\xf3\x6b\x3f\xc2\x05\xaa\x91\xab\x48\x5b\x03\x30\xae\x24\xa3\xec\x7a\x6a\xf0\x34\x73\x18\x04\xea\xe4\xd6\x19\x97\xc4\xc1\x13\x7d\x12\x0d\xd5\xcb\xbd\x18\x05\xc2\xce\x87\x66\x84\x12\xe8\x24\xa3\x31\x69\xfa\xf4\x2c\x21\x53\xa6\x04\x74\x78\xc4\x93\x0d\x38\x7f\x28\xfe\x80\x8e\xd2\x7b\x20\xc8\xf5\x1f\x0f\x73\x68\xb2\xe5\x08\xf1\x94\xa1\xe6\xcf\x3a\x2c\x12\x63\xda\x08\x3a\x78\x12\xb8\x11\x23\x3c\x38\x38\x10\x94\x2b\xac\x64\x5d\x67\x0c\xb6\x0d\xc3\x9a\x45\x39\x50\x8a\x63\x89") - , (128, 132094272981815297755209818914225029878347650582749561568514551350741192910991391836297682842650690115955454061006435646226436379226218676796260483719213285072886626400953065229934239690821114513313427305727000011361769875430428291375851099221794646192854831002408178061474948738788927399080262963320752452, "\x00\x30\x27\xe0\xbf\x46\xec\x77\x2d\xc6\x06\x77\xbc\x68\x87\x3c\x1b\x2e\xc7\xb7\x6c\x88\x25\xec\x8c\x95\xbf\x74\xe5\x37\x01\x25\x96\xe1\x70\x33\x5c\x7d\xab\x1f\xc2\x9c\xad\xf7\xca\x26\x85\x2d\xfc\x8f\xc7\xab\x49\x28\xa4\x47\xe6\xd5\x6e\xfa\x0a\xbb\x57\xe4\xa2\x51\xc7\xc6\x12\x0f\xa9\x98\x69\xb8\x05\x84\xc5\xe3\x28\x86\x0f\x54\x1d\xf9\x92\x42\x9f\xb1\x77\x2b\x58\x89\xe2\xfc\x22\xb0\x1e\x71\x78\xea\x39\xc1\x87\x4f\xd4\x83\x2c\x96\x1d\xea\xd5\xf9\xf9\xb9\x7b\x86\xfa\xf6\xad\x5b\xb1\x3c\xe7\x11\xd7\x96\x89\x44") - , (128, 577245873336454863811643140721674509319073059708446946821011267146688442860798353087462545395033001525475835015592425207995480357299993009193426638306801669333644226765032464458284920004140299209138389393494751627076239104390434285377314678827349631962212281858308570255468721491493027423799738158196939966, "\x00\xd2\x70\x41\xdb\x3d\xb5\xfe\x8c\xef\x79\xcf\x5b\x7b\x37\xb0\x05\xb8\x5a\x9b\x7d\x01\x28\xc7\xf5\x5a\x02\xba\xce\xbc\xf5\x8e\x91\x59\xd0\x42\x6f\x04\x82\x4b\x78\xb0\xdd\x91\x2e\x15\x9d\xea\x4f\x0c\x21\xc0\x67\x54\xa2\x39\xa8\xe1\x13\x8f\xa9\xff\x46\x2d\x11\x56\x04\xa0\xde\x64\xc8\x0f\xf4\x2c\xd2\x31\xdf\x2a\xfd\xac\xc7\x25\x58\xc8\xea\xfd\x47\x6e\xdd\x2a\x53\x02\x77\x49\xa7\x0d\x18\xfb\x05\x18\x4b\x28\xd3\xa2\x39\x8c\x83\x80\x90\xd1\xa8\x81\x56\x6f\xd1\x94\x9d\x65\x34\x95\x79\xc1\x27\xbc\x76\xc3\x5c\xbe") - ] - -tests = testGroup "number" - [ testProperty "num-bits" $ \(Int1_2901 i) -> - and [ (numBits (2^i-1) == i) - , (numBits (2^i) == i+1) - , (numBits (2^i + (2^i-1)) == i+1) - ] - , testProperty "num-bits2" $ \(Positive i) -> - not (i `testBit` numBits i) && (i `testBit` (numBits i - 1)) - , testProperty "generate-param" $ \testDRG (Int1_2901 bits) -> - let r = withTestDRG testDRG $ generateParams bits (Just SetHighest) False - in r >= 0 && numBits r == bits && testBit r (bits-1) - , testProperty "generate-param2" $ \testDRG (Int1_2901 m1bits) -> - let bits = m1bits + 1 -- make sure minimum is 2 - r = withTestDRG testDRG $ generateParams bits (Just SetTwoHighest) False - in r >= 0 && numBits r == bits && testBit r (bits-1) && testBit r (bits-2) - , testProperty "generate-param-odd" $ \testDRG (Int1_2901 bits) -> - let r = withTestDRG testDRG $ generateParams bits Nothing True - in r >= 0 && odd r - , testProperty "generate-range" $ \testDRG (Positive range) -> - let r = withTestDRG testDRG $ generateMax range - in 0 <= r && r < range - , testProperty "generate-prime" $ \testDRG (Int0_2901 baseBits') -> - let baseBits = baseBits' `mod` 800 - bits = 5 + baseBits -- generating lower than 5 bits causes an error .. - prime = withTestDRG testDRG $ generatePrime bits - in bits == numBits prime - , testProperty "generate-safe-prime" $ \testDRG (Int0_2901 baseBits') -> - let baseBits = baseBits' `mod` 200 - bits = 6 + baseBits - prime = withTestDRG testDRG $ generateSafePrime bits - in bits == numBits prime - , testProperty "as-power-of-2-and-odd" $ \n -> - let (e, a1) = asPowerOf2AndOdd n - in n == (2^e)*a1 - , testProperty "squareRoot" $ \testDRG (Int0_2901 baseBits') -> do - let baseBits = baseBits' `mod` 500 - bits = 5 + baseBits -- generating lower than 5 bits causes an error .. - p = withTestDRG testDRG $ generatePrime bits - g <- choose (1, p - 1) - let square x = (x * x) `mod` p - r = square <$> squareRoot p g - case jacobi g p of - Just 1 -> return $ Just g `assertEq` r - Just (-1) -> return $ Nothing `assertEq` r - _ -> error "invalid jacobi result" - , testProperty "marshalling-be" $ \qaInt -> - getQAInteger qaInt == BE.os2ip (BE.i2osp (getQAInteger qaInt) :: Bytes) - , testProperty "marshalling-le" $ \qaInt -> - getQAInteger qaInt == LE.os2ip (LE.i2osp (getQAInteger qaInt) :: Bytes) - , testProperty "be-rev-le" $ \qaInt -> - getQAInteger qaInt == LE.os2ip (B.reverse (BE.i2osp (getQAInteger qaInt) :: Bytes)) - , testProperty "be-rev-le-40" $ \qaInt -> - getQAInteger qaInt == LE.os2ip (B.reverse (BE.i2ospOf_ 40 (getQAInteger qaInt) :: Bytes)) - , testProperty "le-rev-be" $ \qaInt -> - getQAInteger qaInt == BE.os2ip (B.reverse (LE.i2osp (getQAInteger qaInt) :: Bytes)) - , testProperty "le-rev-be-40" $ \qaInt -> - getQAInteger qaInt == BE.os2ip (B.reverse (LE.i2ospOf_ 40 (getQAInteger qaInt) :: Bytes)) - , testGroup "marshalling-kat-to-bytearray" $ zipWith toSerializationKat [katZero..] serializationVectors - , testGroup "marshalling-kat-to-integer" $ zipWith toSerializationKatInteger [katZero..] serializationVectors - ] - where - toSerializationKat i (sz, n, ba) = testCase (show i) (ba @=? BE.i2ospOf_ sz n) - toSerializationKatInteger i (_, n, ba) = testCase (show i) (n @=? BE.os2ip ba) diff --git a/tests/Number/F2m.hs b/tests/Number/F2m.hs deleted file mode 100644 --- a/tests/Number/F2m.hs +++ /dev/null @@ -1,111 +0,0 @@ -module Number.F2m (tests) where - -import Imports hiding ((.&.)) -import Data.Bits -import Data.Maybe -import Crypto.Number.Basic (log2) -import Crypto.Number.F2m - -addTests = testGroup "addF2m" - [ testProperty "commutative" - $ \a b -> a `addF2m` b == b `addF2m` a - , testProperty "associative" - $ \a b c -> (a `addF2m` b) `addF2m` c == a `addF2m` (b `addF2m` c) - , testProperty "0 is neutral" - $ \a -> a `addF2m` 0 == a - , testProperty "nullable" - $ \a -> a `addF2m` a == 0 - , testProperty "works per bit" - $ \a b -> (a `addF2m` b) .&. b == (a .&. b) `addF2m` b - ] - -modTests = testGroup "modF2m" - [ testProperty "idempotent" - $ \(Positive m) (NonNegative a) -> modF2m m a == modF2m m (modF2m m a) - , testProperty "upper bound" - $ \(Positive m) (NonNegative a) -> modF2m m a < 2 ^ log2 m - , testProperty "reach upper" - $ \(Positive m) -> let a = 2 ^ log2 m - 1 in modF2m m (m `addF2m` a) == a - , testProperty "lower bound" - $ \(Positive m) (NonNegative a) -> modF2m m a >= 0 - , testProperty "reach lower" - $ \(Positive m) -> modF2m m m == 0 - , testProperty "additive" - $ \(Positive m) (NonNegative a) (NonNegative b) - -> modF2m m a `addF2m` modF2m m b == modF2m m (a `addF2m` b) - ] - -mulTests = testGroup "mulF2m" - [ testProperty "commutative" - $ \(Positive m) (NonNegative a) (NonNegative b) -> mulF2m m a b == mulF2m m b a - , testProperty "associative" - $ \(Positive m) (NonNegative a) (NonNegative b) (NonNegative c) - -> mulF2m m (mulF2m m a b) c == mulF2m m a (mulF2m m b c) - , testProperty "1 is neutral" - $ \(Positive m) (NonNegative a) -> mulF2m m a 1 == modF2m m a - , testProperty "0 is annihilator" - $ \(Positive m) (NonNegative a) -> mulF2m m a 0 == 0 - , testProperty "distributive" - $ \(Positive m) (NonNegative a) (NonNegative b) (NonNegative c) - -> mulF2m m a (b `addF2m` c) == mulF2m m a b `addF2m` mulF2m m a c - ] - -squareTests = testGroup "squareF2m" - [ testProperty "sqr(a) == a * a" - $ \(Positive m) (NonNegative a) -> mulF2m m a a == squareF2m m a - -- disabled because we require @m@ to be a suitable modulus and there is no - -- way to guarantee this - -- , testProperty "sqrt(a) * sqrt(a) = a" - -- $ \(Positive m) (NonNegative aa) -> let a = sqrtF2m m aa in mulF2m m a a == modF2m m aa - , testProperty "sqrt(a) * sqrt(a) = a in GF(2^16)" - $ let m = 65581 :: Integer -- x^16 + x^5 + x^3 + x^2 + 1 - nums = [0 .. 65535 :: Integer] - in nums == [let y = sqrtF2m m x in squareF2m m y | x <- nums] - ] - -powTests = testGroup "powF2m" - [ testProperty "2 is square" - $ \(Positive m) (NonNegative a) -> powF2m m a 2 == squareF2m m a - , testProperty "1 is identity" - $ \(Positive m) (NonNegative a) -> powF2m m a 1 == modF2m m a - , testProperty "0 is annihilator" - $ \(Positive m) (NonNegative a) -> powF2m m a 0 == modF2m m 1 - , testProperty "(a * b) ^ c == (a ^ c) * (b ^ c)" - $ \(Positive m) (NonNegative a) (NonNegative b) (NonNegative c) - -> powF2m m (mulF2m m a b) c == mulF2m m (powF2m m a c) (powF2m m b c) - , testProperty "a ^ (b + c) == (a ^ b) * (a ^ c)" - $ \(Positive m) (NonNegative a) (NonNegative b) (NonNegative c) - -> powF2m m a (b + c) == mulF2m m (powF2m m a b) (powF2m m a c) - , testProperty "a ^ (b * c) == (a ^ b) ^ c" - $ \(Positive m) (NonNegative a) (NonNegative b) (NonNegative c) - -> powF2m m a (b * c) == powF2m m (powF2m m a b) c - ] - -invTests = testGroup "invF2m" - [ testProperty "1 / a * a == 1" - $ \(Positive m) (NonNegative a) - -> maybe True (\c -> mulF2m m c a == modF2m m 1) (invF2m m a) - , testProperty "1 / a == a (mod a^2-1)" - $ \(NonNegative a) -> a < 2 || invF2m (squareF2m' a `addF2m` 1) a == Just a - ] - -divTests = testGroup "divF2m" - [ testProperty "1 / a == inv a" - $ \(Positive m) (NonNegative a) -> divF2m m 1 a == invF2m m a - , testProperty "a / b == a * inv b" - $ \(Positive m) (NonNegative a) (NonNegative b) - -> divF2m m a b == (mulF2m m a <$> invF2m m b) - , testProperty "a * b / b == a" - $ \(Positive m) (NonNegative a) (NonNegative b) - -> isNothing (invF2m m b) || divF2m m (mulF2m m a b) b == Just (modF2m m a) - ] - -tests = testGroup "number.F2m" - [ addTests - , modTests - , mulTests - , squareTests - , powTests - , invTests - , divTests - ] diff --git a/tests/Number/F2mSpec.hs b/tests/Number/F2mSpec.hs new file mode 100644 --- /dev/null +++ b/tests/Number/F2mSpec.hs @@ -0,0 +1,111 @@ +module Number.F2mSpec (spec) where + +import Crypto.Number.Basic (log2) +import Crypto.Number.F2m +import Data.Bits +import Data.Maybe +import Imports hiding ((.&.)) + +addTests = + describe "addF2m" $ do + prop "commutative" $ + \a b -> a `addF2m` b == b `addF2m` a + prop "associative" $ + \a b c -> (a `addF2m` b) `addF2m` c == a `addF2m` (b `addF2m` c) + prop "0 is neutral" $ + \a -> a `addF2m` 0 == a + prop "nullable" $ + \a -> a `addF2m` a == 0 + prop "works per bit" $ + \a b -> (a `addF2m` b) .&. b == (a .&. b) `addF2m` b + +modTests = + describe "modF2m" $ do + prop "idempotent" $ + \(Positive m) (NonNegative a) -> modF2m m a == modF2m m (modF2m m a) + prop "upper bound" $ + \(Positive m) (NonNegative a) -> modF2m m a < 2 ^ log2 m + prop "reach upper" $ + \(Positive m) -> let a = 2 ^ log2 m - 1 in modF2m m (m `addF2m` a) == a + prop "lower bound" $ + \(Positive m) (NonNegative a) -> modF2m m a >= 0 + prop "reach lower" $ + \(Positive m) -> modF2m m m == 0 + prop "additive" $ + \(Positive m) (NonNegative a) (NonNegative b) -> + modF2m m a `addF2m` modF2m m b == modF2m m (a `addF2m` b) + +mulTests = + describe "mulF2m" $ do + prop "commutative" $ + \(Positive m) (NonNegative a) (NonNegative b) -> mulF2m m a b == mulF2m m b a + prop "associative" $ + \(Positive m) (NonNegative a) (NonNegative b) (NonNegative c) -> + mulF2m m (mulF2m m a b) c == mulF2m m a (mulF2m m b c) + prop "1 is neutral" $ + \(Positive m) (NonNegative a) -> mulF2m m a 1 == modF2m m a + prop "0 is annihilator" $ + \(Positive m) (NonNegative a) -> mulF2m m a 0 == 0 + prop "distributive" $ + \(Positive m) (NonNegative a) (NonNegative b) (NonNegative c) -> + mulF2m m a (b `addF2m` c) == mulF2m m a b `addF2m` mulF2m m a c + +squareTests = + describe "squareF2m" $ do + prop "sqr(a) == a * a" $ + \(Positive m) (NonNegative a) -> mulF2m m a a == squareF2m m a + -- disabled because we require @m@ to be a suitable modulus and there is no + -- way to guarantee this + -- , prop "sqrt(a) * sqrt(a) = a" + -- $ \(Positive m) (NonNegative aa) -> let a = sqrtF2m m aa in mulF2m m a a == modF2m m aa + prop "sqrt(a) * sqrt(a) = a in GF(2^16)" $ + let m = 65581 :: Integer -- x^16 + x^5 + x^3 + x^2 + 1 + nums = [0 .. 65535 :: Integer] + in nums == [let y = sqrtF2m m x in squareF2m m y | x <- nums] + +powTests = + describe "powF2m" $ do + prop "2 is square" $ + \(Positive m) (NonNegative a) -> powF2m m a 2 == squareF2m m a + prop "1 is identity" $ + \(Positive m) (NonNegative a) -> powF2m m a 1 == modF2m m a + prop "0 is annihilator" $ + \(Positive m) (NonNegative a) -> powF2m m a 0 == modF2m m 1 + prop "(a * b) ^ c == (a ^ c) * (b ^ c)" $ + \(Positive m) (NonNegative a) (NonNegative b) (NonNegative c) -> + powF2m m (mulF2m m a b) c == mulF2m m (powF2m m a c) (powF2m m b c) + prop "a ^ (b + c) == (a ^ b) * (a ^ c)" $ + \(Positive m) (NonNegative a) (NonNegative b) (NonNegative c) -> + powF2m m a (b + c) == mulF2m m (powF2m m a b) (powF2m m a c) + prop "a ^ (b * c) == (a ^ b) ^ c" $ + \(Positive m) (NonNegative a) (NonNegative b) (NonNegative c) -> + powF2m m a (b * c) == powF2m m (powF2m m a b) c + +invTests = + describe "invF2m" $ do + prop "1 / a * a == 1" $ + \(Positive m) (NonNegative a) -> + maybe True (\c -> mulF2m m c a == modF2m m 1) (invF2m m a) + prop "1 / a == a (mod a^2-1)" $ + \(NonNegative a) -> a < 2 || invF2m (squareF2m' a `addF2m` 1) a == Just a + +divTests = + describe "divF2m" $ do + prop "1 / a == inv a" $ + \(Positive m) (NonNegative a) -> divF2m m 1 a == invF2m m a + prop "a / b == a * inv b" $ + \(Positive m) (NonNegative a) (NonNegative b) -> + divF2m m a b == (mulF2m m a <$> invF2m m b) + prop "a * b / b == a" $ + \(Positive m) (NonNegative a) (NonNegative b) -> + isNothing (invF2m m b) || divF2m m (mulF2m m a b) b == Just (modF2m m a) + +spec :: Spec +spec = do + addTests + modTests + mulTests + squareTests + powTests + invTests + divTests diff --git a/tests/NumberSpec.hs b/tests/NumberSpec.hs new file mode 100644 --- /dev/null +++ b/tests/NumberSpec.hs @@ -0,0 +1,351 @@ +{-# LANGUAGE OverloadedStrings #-} + +module NumberSpec (spec) where + +import Imports + +import Crypto.Number.Basic +import Crypto.Number.Generate +import Crypto.Number.ModArithmetic +import Crypto.Number.Prime +import qualified Crypto.Number.Serialize as BE +import qualified Crypto.Number.Serialize.LE as LE +import Data.Bits +import Data.ByteArray (Bytes) +import qualified Data.ByteArray as B + +serializationVectors :: [(Int, Integer, ByteString)] +serializationVectors = + [ + ( 128 + , 468189858948067662094510918729062682059955669513914188715630930503497261316361784677177564296207557978182700664806717692596876084916561811001371208806217360635705059859428069669992937334724312890015700331031248133952795914192719979937664050389500162437642525331653766885896869239678885404647468665996400635 + , "\x00\xaa\xae\x74\xc8\xec\x3c\x36\x06\x5e\x46\xca\x8e\x57\xab\x09\x87\xfd\xcd\x1f\xa4\xe7\xf9\xd2\x60\xd5\x4a\x1b\x74\xdc\xa8\x75\xd8\xdd\xff\x2b\x74\x28\x14\x59\x67\x6c\x82\xae\xa3\xa5\x1d\x3f\xb4\xb7\xfe\x5c\xd2\xf0\x7f\xd8\xd9\xa9\xb0\xce\x26\xc1\x26\x74\x96\xf5\xf6\x4c\x8f\x66\x7f\x5d\xf1\x68\x38\xd4\x03\x62\xe9\x30\xc8\xa1\xc1\x84\x97\x62\x20\xfd\xd7\x03\x35\xc1\x25\x45\x1b\x86\x81\x3d\xa4\x92\xc0\xd3\xdd\xfa\x86\x1d\xdf\x0a\xbb\xf4\xc0\x56\xf7\xa2\xb0\x3b\x52\xf7\xa5\x89\x4c\x69\x34\x91\x46\xd9\x57\xfb" + ) + , + ( 128 + , 40031303476923779996794876613623495515025748694978019540894726181695410095832601107261950025830235596060960914255795497479135806963313279476038687192202016132891881954743054164975707083302554941058329647014950354509055121290280892911153779672733723699997592027662953953692834215577119173225643193201177329 + , "\x00\x0e\x97\xf9\xd5\x79\xb9\x90\x7c\x85\x48\x49\x01\x19\x64\xfb\x76\x31\xcd\x51\xfb\x8a\x9d\x55\xe5\xd3\x7b\x87\x2d\xad\x63\x2d\x6b\x1c\x84\x3f\x65\x95\xb6\xf3\x1a\xa9\x43\x3f\x06\x46\x7b\xf8\xf3\x35\x45\x84\x11\x56\x91\x53\x43\xd7\xe1\x6d\x80\x64\x14\x45\x35\x4e\x93\x7d\x5e\x48\xec\xe0\x79\x7b\x44\x8e\xab\x0f\xc4\x5f\xc6\xa1\x71\xee\x37\xb1\x55\x51\x98\x44\x57\xe3\xc3\x56\x3a\x50\x27\xaf\xa5\x1d\x1a\x0a\x90\x19\x0d\x14\xed\x3d\x93\x40\x62\x76\xa3\xaa\x00\x23\x86\xca\x98\xb2\x6e\x02\x43\xa7\xbc\xb1\xb2\xf1" + ) + , + ( 128 + , 75152325976543603337003024341071663845101857195436434620947904288957274825323005869230041326941600298094896018190395352332646796347130114769768242670539699217743549573961461985255265474392937773768121046339453584830072421569334022498680626938734088755136253492360177084153487115846920446085149631919580041 + , "\x00\x1b\x65\xb1\x73\x74\xed\xd2\xcb\xb8\xf3\x6b\x3f\xc2\x05\xaa\x91\xab\x48\x5b\x03\x30\xae\x24\xa3\xec\x7a\x6a\xf0\x34\x73\x18\x04\xea\xe4\xd6\x19\x97\xc4\xc1\x13\x7d\x12\x0d\xd5\xcb\xbd\x18\x05\xc2\xce\x87\x66\x84\x12\xe8\x24\xa3\x31\x69\xfa\xf4\x2c\x21\x53\xa6\x04\x74\x78\xc4\x93\x0d\x38\x7f\x28\xfe\x80\x8e\xd2\x7b\x20\xc8\xf5\x1f\x0f\x73\x68\xb2\xe5\x08\xf1\x94\xa1\xe6\xcf\x3a\x2c\x12\x63\xda\x08\x3a\x78\x12\xb8\x11\x23\x3c\x38\x38\x10\x94\x2b\xac\x64\x5d\x67\x0c\xb6\x0d\xc3\x9a\x45\x39\x50\x8a\x63\x89" + ) + , + ( 128 + , 132094272981815297755209818914225029878347650582749561568514551350741192910991391836297682842650690115955454061006435646226436379226218676796260483719213285072886626400953065229934239690821114513313427305727000011361769875430428291375851099221794646192854831002408178061474948738788927399080262963320752452 + , "\x00\x30\x27\xe0\xbf\x46\xec\x77\x2d\xc6\x06\x77\xbc\x68\x87\x3c\x1b\x2e\xc7\xb7\x6c\x88\x25\xec\x8c\x95\xbf\x74\xe5\x37\x01\x25\x96\xe1\x70\x33\x5c\x7d\xab\x1f\xc2\x9c\xad\xf7\xca\x26\x85\x2d\xfc\x8f\xc7\xab\x49\x28\xa4\x47\xe6\xd5\x6e\xfa\x0a\xbb\x57\xe4\xa2\x51\xc7\xc6\x12\x0f\xa9\x98\x69\xb8\x05\x84\xc5\xe3\x28\x86\x0f\x54\x1d\xf9\x92\x42\x9f\xb1\x77\x2b\x58\x89\xe2\xfc\x22\xb0\x1e\x71\x78\xea\x39\xc1\x87\x4f\xd4\x83\x2c\x96\x1d\xea\xd5\xf9\xf9\xb9\x7b\x86\xfa\xf6\xad\x5b\xb1\x3c\xe7\x11\xd7\x96\x89\x44" + ) + , + ( 128 + , 577245873336454863811643140721674509319073059708446946821011267146688442860798353087462545395033001525475835015592425207995480357299993009193426638306801669333644226765032464458284920004140299209138389393494751627076239104390434285377314678827349631962212281858308570255468721491493027423799738158196939966 + , "\x00\xd2\x70\x41\xdb\x3d\xb5\xfe\x8c\xef\x79\xcf\x5b\x7b\x37\xb0\x05\xb8\x5a\x9b\x7d\x01\x28\xc7\xf5\x5a\x02\xba\xce\xbc\xf5\x8e\x91\x59\xd0\x42\x6f\x04\x82\x4b\x78\xb0\xdd\x91\x2e\x15\x9d\xea\x4f\x0c\x21\xc0\x67\x54\xa2\x39\xa8\xe1\x13\x8f\xa9\xff\x46\x2d\x11\x56\x04\xa0\xde\x64\xc8\x0f\xf4\x2c\xd2\x31\xdf\x2a\xfd\xac\xc7\x25\x58\xc8\xea\xfd\x47\x6e\xdd\x2a\x53\x02\x77\x49\xa7\x0d\x18\xfb\x05\x18\x4b\x28\xd3\xa2\x39\x8c\x83\x80\x90\xd1\xa8\x81\x56\x6f\xd1\x94\x9d\x65\x34\x95\x79\xc1\x27\xbc\x76\xc3\x5c\xbe" + ) + ] + +-- | Numbers built to fool a primality test: the Carmichael numbers, which +-- pass a Fermat test to every base coprime with them, and the strong +-- pseudoprimes to base 2. +carmichaels :: [Integer] +carmichaels = + [ 561 + , 1105 + , 1729 + , 2465 + , 2821 + , 6601 + , 8911 + , 10585 + , 15841 + , 29341 + , 41041 + , 46657 + , 52633 + , 62745 + , 63973 + , 75361 + , 101101 + , 115921 + , 126217 + , 162401 + ] + +strongPseudoprimesBase2 :: [Integer] +strongPseudoprimesBase2 = + [ 2047 + , 3277 + , 4033 + , 4681 + , 8321 + , 15841 + , 29341 + , 42799 + , 49141 + , 52633 + , 65281 + , 74665 + , 80581 + , 85489 + , 88357 + , 90751 + ] + +-- a 512-bit prime, and a 512-bit composite that is the product of two primes +bigPrime, bigComposite :: Integer +bigPrime = 2 ^ (512 :: Int) - 569 +bigComposite = (2 ^ (256 :: Int) - 189) * (2 ^ (256 :: Int) - 357) + +-- | The two sizes at which the exponentiation hands its multiplication to +-- s2n-bignum's assembly: a modulus of exactly sixteen or thirty-two 64-bit +-- limbs, which is 1024 or 2048 bits -- the halves a CRT exponentiation works +-- in for RSA-2048 and RSA-4096, and nothing else. A property over moduli of +-- no particular size reaches that path only by accident, and the one below +-- with "a modulus a key would have" is 1025 bits, one limb too wide. +modulus1024, modulus2048 :: Integer +modulus1024 = bit 1023 .|. (bigPrime * bigComposite `mod` bit 1023) .|. 1 +modulus2048 = + bit 2047 .|. ((bigPrime * bigComposite) ^ (2 :: Int) `mod` bit 2047) .|. 1 + +-- | A number of up to this many bytes. 'QAInteger' stops at thirty-two, +-- which is too narrow for either of these: the base has to be able to fill a +-- modulus and to overflow it, and the exponent's length is what the window +-- walks. +wideOf :: Int -> Gen Integer +wideOf bytes = BE.os2ip <$> arbitraryBSof 0 bytes + +-- the index is threaded through so that repeated calls cannot be shared +askAgain :: Int -> Integer -> Bool +askAgain i n = i `seq` primalityTestMillerRabin 1 n +{-# NOINLINE askAgain #-} + +-- | Miller-Rabin draws witnesses from a generator this library builds itself, +-- so check the answers it reaches: against trial division over a range, over +-- the numbers built to fool such a test, and at a size a key would use. The +-- last test is about the generator rather than the arithmetic: a pure function +-- has to give one answer, so the same number asked many times has to reach the +-- same verdict. +primalityTests :: Spec +primalityTests = describe "primality" $ do + it "agrees with trial division on the odd numbers from 5 to 5001" $ + [n | n <- [5, 7 .. 5001], primalityTestMillerRabin 30 n /= primalityTestNaive n] + `shouldBe` [] + it "calls the Carmichael numbers composite" $ + filter (primalityTestMillerRabin 30) carmichaels `shouldBe` [] + it "calls the strong pseudoprimes to base 2 composite" $ + filter (primalityTestMillerRabin 30) strongPseudoprimesBase2 `shouldBe` [] + it "sees through them from isProbablyPrime too" $ + filter isProbablyPrime (carmichaels ++ strongPseudoprimesBase2) `shouldBe` [] + it "calls a 512-bit prime prime and a 512-bit composite composite" $ do + primalityTestMillerRabin 30 bigPrime `shouldBe` True + primalityTestMillerRabin 30 bigComposite `shouldBe` False + it "answers for the small numbers and the edges of the shortcut" $ do + -- below two, nothing is prime, and the list of small primes answers up + -- to its own end at 2903; past that the Miller-Rabin path takes over, + -- and it has no answer for anything below four + filter isProbablyPrime [-3, -1, 0, 1, 4, 6, 8, 9, 2911] `shouldBe` [] + filter (not . isProbablyPrime) [2, 3, 5, 7, 2897, 2903, 2909, 2917] + `shouldBe` [] + it "reaches the same verdict every time it is asked" $ + map (`askAgain` 2465) [1 .. 20] `shouldBe` replicate 20 (askAgain 0 2465) + +-- | The two exponentiations have to agree on every shape of argument: the +-- safe one is only meant to differ in how it spends its time. The pairs are +-- (base, exponent, modulus), and cover a zero exponent, a zero base, a base +-- above the modulus, a negative base, a negative exponent (which GMP reads as +-- a request for the inverse), a modulus of one, and an even modulus, which +-- sends expSafe down the fast path. +exponentiationCorners :: [(Integer, Integer, Integer)] +exponentiationCorners = + [ (2, 3, 1) + , (0, 0, 7) + , (0, 5, 7) + , (1, 0, 7) + , (9, 3, 7) + , (-2, 3, 7) + , (3, -1, 7) + , (2, 3, 8) + , (2, 0, 9) + , (5, 1, 3) + , (2, 256, 255) + , (bigPrime, bigPrime - 2, bigComposite + 1) + , (bigComposite, 65537, bigPrime) + , (bigPrime + 1, 2 ^ (600 :: Int), bigPrime) + , (3, 2 * bigPrime * bigComposite, 2 * bigPrime * bigComposite + 1) + ] + +exponentiationTests :: Spec +exponentiationTests = describe "exponentiation" $ do + it "agrees with the fast one on the corners" $ + map safely exponentiationCorners `shouldBe` map fastly exponentiationCorners + it "agrees with repetitive squaring on the corners" $ + [ (b, e, m) + | (b, e, m) <- exponentiationCorners + , e >= 0 + , m > 1 + , safely (b, e, m) /= naivePow (b `mod` m) e m + ] + `shouldBe` [] + prop "agrees with the fast one" $ \(QAInteger b) (QAInteger e) (QAInteger m') -> + let m = abs m' + 1 + in expSafe b (abs e) m === expFast b (abs e) m + prop "agrees with the fast one on a modulus a key would have" $ + \(QAInteger b) (QAInteger e) -> + let m = 2 * bigPrime * bigComposite + 1 -- odd, and 1025 bits + in expSafe b (abs e) m === expFast b (abs e) m + prop "agrees with the fast one at the two sizes with assembly behind them" $ + forAll (elements [modulus1024, modulus2048]) $ \m -> + forAll (wideOf 300) $ \b -> + forAll (wideOf 256) $ \e -> + expSafe b e m === expFast b e m + prop "agrees with the fast one whatever the exponent's length" $ + forAll (choose (0, 129)) $ \bytes -> + forAll (wideOf bytes) $ \e -> + forAll (wideOf 128) $ \b -> + expSafe b e modulus1024 === expFast b e modulus1024 + where + safely (b, e, m) = expSafe b e m + fastly (b, e, m) = expFast b e m + -- an answer owing nothing to the library, for the corners to be held to + naivePow b e m = foldl (\acc isSet -> acc * acc * (if isSet then b else 1) `mod` m) 1 bits + where + bits = [testBit e i | i <- [numBits e - 1, numBits e - 2 .. 0]] + +-- | The safe inverse has to answer exactly what the ordinary one answers, on +-- a prime modulus, where it works out the inverse by Fermat, and on every +-- other one, where that answer is not an inverse and it has to notice and ask +-- the ordinary one instead. +inverseTests :: Spec +inverseTests = describe "inverse" $ do + it "agrees with the plain inverse on the corners" $ + [ (g, m) + | (g, m) <- + [ (0, 1) + , (0, 7) + , (1, 7) + , (3, 7) + , (7, 7) + , (8, 7) + , (3, 9) + , (6, 9) + , (2, 8) + , (4, 8) + , (5, 8) + , (-3, 7) + , (bigPrime, bigComposite) + , (bigComposite, bigPrime) + ] + , inverseSafe g m /= inverse g m + ] + `shouldBe` [] + prop "agrees with the plain inverse" $ \(QAInteger g) (QAInteger m') -> + let m = abs m' + 1 + in inverseSafe g m === inverse g m + prop "agrees with the plain inverse on a prime modulus" $ \(QAInteger g) -> + inverseSafe g bigPrime === inverse g bigPrime + prop "inverts" $ \(QAInteger g) -> + let g' = g `mod` bigPrime + in g' + /= 0 ==> fmap (\i -> g' * i `mod` bigPrime) (inverseSafe g' bigPrime) === Just 1 + +spec :: Spec +spec = do + primalityTests + exponentiationTests + inverseTests + prop "num-bits" $ \(Int1_2901 i) -> + and + [ (numBits (2 ^ i - 1) == i) + , (numBits (2 ^ i) == i + 1) + , (numBits (2 ^ i + (2 ^ i - 1)) == i + 1) + ] + prop "num-bits2" $ \(Positive i) -> + not (i `testBit` numBits i) && (i `testBit` (numBits i - 1)) + -- how many bytes it takes to write the number, which is what every + -- serialization here asks before it allocates. Held to counting the + -- divisions, so that it is not the same expression on both sides. + prop "num-bytes" $ \(Positive i) -> + numBytes i == byteCount i + prop "num-bytes-small" $ \() -> + map numBytes [0, 1, 255, 256, 257, 65535, 65536] == [0, 1, 1, 2, 2, 2, 3] + -- the magnitude, which is what GMP counts, and what the fallback used to + -- divide by 256 forever looking for a quotient of zero + prop "num-bits-negative" $ \(Positive i) -> + numBits (negate i) == numBits i + prop "generate-param" $ \testDRG (Int1_2901 bits) -> + let r = withTestDRG testDRG $ generateParams bits (Just SetHighest) False + in r >= 0 && numBits r == bits && testBit r (bits - 1) + prop "generate-param2" $ \testDRG (Int1_2901 m1bits) -> + let bits = m1bits + 1 -- make sure minimum is 2 + r = withTestDRG testDRG $ generateParams bits (Just SetTwoHighest) False + in r >= 0 && numBits r == bits && testBit r (bits - 1) && testBit r (bits - 2) + prop "generate-param-odd" $ \testDRG (Int1_2901 bits) -> + let r = withTestDRG testDRG $ generateParams bits Nothing True + in r >= 0 && odd r + prop "generate-range" $ \testDRG (Positive range) -> + let r = withTestDRG testDRG $ generateMax range + in 0 <= r && r < range + prop "generate-prime" $ \testDRG (Int0_2901 baseBits') -> + let baseBits = baseBits' `mod` 800 + bits = 5 + baseBits -- generating lower than 5 bits causes an error .. + prime = withTestDRG testDRG $ generatePrime bits + in bits == numBits prime + -- what generatePrime settles on has to answer to the test anyone else + -- would put it to, whatever it did to convince itself + prop "generate-prime-is-prime" $ \testDRG (Int0_2901 baseBits') -> + let baseBits = baseBits' `mod` 800 + bits = 5 + baseBits + prime = withTestDRG testDRG $ generatePrime bits + in isProbablyPrime prime + prop "generate-safe-prime-is-prime" $ \testDRG (Int0_2901 baseBits') -> + let baseBits = baseBits' `mod` 200 + bits = 6 + baseBits + prime = withTestDRG testDRG $ generateSafePrime bits + in isProbablyPrime prime && isProbablyPrime ((prime - 1) `div` 2) + prop "generate-safe-prime" $ \testDRG (Int0_2901 baseBits') -> + let baseBits = baseBits' `mod` 200 + bits = 6 + baseBits + prime = withTestDRG testDRG $ generateSafePrime bits + in bits == numBits prime + prop "as-power-of-2-and-odd" $ \n -> + let (e, a1) = asPowerOf2AndOdd n + in n == (2 ^ e) * a1 + prop "squareRoot" $ \testDRG (Int0_2901 baseBits') -> do + let baseBits = baseBits' `mod` 500 + bits = 5 + baseBits -- generating lower than 5 bits causes an error .. + p = withTestDRG testDRG $ generatePrime bits + g <- choose (1, p - 1) + let square x = (x * x) `mod` p + r = square <$> squareRoot p g + case jacobi g p of + Just 1 -> return $ Just g `assertEq` r + Just (-1) -> return $ Nothing `assertEq` r + _ -> error "invalid jacobi result" + prop "marshalling-be" $ \qaInt -> + getQAInteger qaInt == BE.os2ip (BE.i2osp (getQAInteger qaInt) :: Bytes) + prop "marshalling-le" $ \qaInt -> + getQAInteger qaInt == LE.os2ip (LE.i2osp (getQAInteger qaInt) :: Bytes) + prop "be-rev-le" $ \qaInt -> + getQAInteger qaInt + == LE.os2ip (B.reverse (BE.i2osp (getQAInteger qaInt) :: Bytes)) + prop "be-rev-le-40" $ \qaInt -> + getQAInteger qaInt + == LE.os2ip (B.reverse (BE.i2ospOf_ 40 (getQAInteger qaInt) :: Bytes)) + prop "le-rev-be" $ \qaInt -> + getQAInteger qaInt + == BE.os2ip (B.reverse (LE.i2osp (getQAInteger qaInt) :: Bytes)) + prop "le-rev-be-40" $ \qaInt -> + getQAInteger qaInt + == BE.os2ip (B.reverse (LE.i2ospOf_ 40 (getQAInteger qaInt) :: Bytes)) + describe "marshalling-kat-to-bytearray" $ + sequence_ $ + zipWith toSerializationKat [katZero ..] serializationVectors + describe "marshalling-kat-to-integer" $ + sequence_ $ + zipWith toSerializationKatInteger [katZero ..] serializationVectors + where + toSerializationKat i (sz, n, ba) = it (show i) (BE.i2ospOf_ sz n `shouldBe` ba) + toSerializationKatInteger i (_, n, ba) = it (show i) (BE.os2ip ba `shouldBe` n) + +-- | How many bytes the number takes, by taking them off one at a time. +byteCount :: Integer -> Int +byteCount = length . takeWhile (> 0) . iterate (`div` 256) diff --git a/tests/OTPSpec.hs b/tests/OTPSpec.hs new file mode 100644 --- /dev/null +++ b/tests/OTPSpec.hs @@ -0,0 +1,231 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE OverloadedStrings #-} + +module OTPSpec ( + spec, +) +where + +import Control.Exception (evaluate) +import Crypto.Hash.Algorithms ( + Blake2b (..), + MD5 (..), + SHA1 (..), + SHA256 (..), + SHA512 (..), + ) +import Crypto.OTP +import qualified Crypto.OTP as TOTP +import Data.Either (isLeft) +import Imports + +-- | Test values from Appendix D of http://tools.ietf.org/html/rfc4226 +hotpExpected :: [(Word64, Word32)] +hotpExpected = + [ (0, 755224) + , (1, 287082) + , (3, 969429) + , (4, 338314) + , (5, 254676) + , (6, 287922) + , (7, 162583) + , (8, 399871) + , (9, 520489) + ] + +-- | Test data from Appendix B of http://tools.ietf.org/html/rfc6238 +-- Note that the shared keys for the non SHA-1 values are actually +-- different (see the errata, or the Java example code). +totpSHA1Expected :: [(Word64, Word32)] +totpSHA1Expected = + [ (59, 94287082) + , (1111111109, 07081804) + , (1111111111, 14050471) + , (1234567890, 89005924) + , (2000000000, 69279037) + , (20000000000, 65353130) + ] + +totpSHA256Expected :: [(Word64, Word32)] +totpSHA256Expected = + [ (59, 46119246) + , (1111111109, 68084774) + , (1111111111, 67062674) + , (1234567890, 91819424) + , (2000000000, 90698825) + , (20000000000, 77737706) + ] + +totpSHA512Expected :: [(Word64, Word32)] +totpSHA512Expected = + [ (59, 90693936) + , (1111111109, 25091201) + , (1111111111, 99943326) + , (1234567890, 93441116) + , (2000000000, 38618901) + , (20000000000, 47863826) + ] + +otpKey :: ByteString +otpKey = "12345678901234567890" + +totpSHA256Key :: ByteString +totpSHA256Key = "12345678901234567890123456789012" + +totpSHA512Key :: ByteString +totpSHA512Key = + "1234567890123456789012345678901234567890123456789012345678901234" + +makeKATs :: (Eq a, Show a) => (t -> a) -> [(t, a)] -> [Spec] +makeKATs otp expected = concatMap (makeTest otp) (zip3 is counts otps) + where + is :: [Int] + is = [1 ..] + + counts = map fst expected + otps = map snd expected + +makeTest :: (Eq a1, Show a2, Show a1) => (t -> a1) -> (a2, t, a1) -> [Spec] +makeTest otp (i, count, password) = + [ it (show i) (assertEqual "" password (otp count)) + ] + +totpSHA1Params :: TOTPParams SHA1 +totpSHA1Params = case mkTOTPParams SHA1 0 30 OTP8 TwoSteps of + Right x -> x + _ -> error "totpSHA1Params" + +totpSHA256Params :: TOTPParams SHA256 +totpSHA256Params = case mkTOTPParams SHA256 0 30 OTP8 TwoSteps of + Right x -> x + _ -> error "totpSHA256Params" + +totpSHA512Params :: TOTPParams SHA512 +totpSHA512Params = case mkTOTPParams SHA512 0 30 OTP8 TwoSteps of + Right x -> x + _ -> error "totpSHA512Params" + +-- resynching with the expected value should just return the current counter + 1 +prop_resyncExpected :: Word64 -> Word16 -> Bool +prop_resyncExpected ctr window = resynchronize SHA1 OTP6 window key ctr (otp, []) == Just (ctr + 1) + where + key = "1234" :: ByteString + otp = hotp SHA1 OTP6 key ctr + +-- | RFC 4226 dynamic truncation reads the offset from the low four bits of +-- the MAC's last byte, so the offset can be any of 0..15, and then reads four +-- bytes starting there -- reaching byte 18. A digest shorter than that leaves +-- 'hotp' indexing past the end of the MAC, and 'Data.ByteArray.index' does not +-- bounds check, so the OTP is built from whatever happens to follow the MAC in +-- memory. Such a digest must be refused instead. +digestSizeTests :: [Spec] +digestSizeTests = + [ it "SHA-1 (20 bytes) is accepted" $ + hotp SHA1 OTP6 otpKey 1 `shouldBe` 287082 + , rejects "MD5 (16 bytes)" (hotp MD5 OTP6 otpKey 1) + , rejects "Blake2b-64 (8 bytes)" (hotp (Blake2b :: Blake2b 64) OTP6 otpKey 1) + , it "resynchronize with a short digest is rejected" $ + evaluate (resynchronize MD5 OTP6 10 otpKey 0 (0, [])) + `shouldThrow` anyErrorCall + , it "mkTOTPParams rejects a short digest" $ + mkTOTPParams MD5 0 30 OTP6 TwoSteps `shouldSatisfy` isLeft + ] + where + rejects name otp = + it (name ++ " is rejected") $ evaluate otp `shouldThrow` anyErrorCall + +-- | resynchronize hunts for the client's counter in a window of values +-- derived from the shared secret, and reports how far it got only through the +-- counter it returns. Pin down which submissions it accepts, which it +-- refuses, and the counter each accepted one leaves behind, before that search +-- is rewritten. +resyncTests :: [Spec] +resyncTests = + [ it "the value for the current counter moves the server on by one" $ + resync 20 (at 0, []) `shouldBe` serverAfter 1 + , it "a value from inside the window is found" $ + resync 20 (at 7, []) `shouldBe` serverAfter 8 + , it "the last value in the window is found" $ + resync 20 (at 20, []) `shouldBe` serverAfter 21 + , it "the value just past the window is not" $ + resync 20 (at 21, []) `shouldBe` Nothing + , it "a value no counter produces is refused" $ + resync 20 (at 0 + 1, []) `shouldBe` Nothing + , it "a window of zero looks at the current counter only" $ do + resync 0 (at 0, []) `shouldBe` serverAfter 1 + resync 0 (at 1, []) `shouldBe` Nothing + , it "the extra values carry the counter past all of them" $ + resync 20 (at 7, [at 8, at 9]) `shouldBe` serverAfter 10 + , it "an extra value that is wrong refuses the whole submission" $ + sequence_ + [ resync 20 (at 7, wrongAt i [at 8, at 9, at 10]) `shouldBe` Nothing + | i <- [0 .. 2] + ] + , it "extra values that are right do not rescue a wrong first value" $ + resync 20 (at 0 + 1, [at 1, at 2]) `shouldBe` Nothing + , it "extra values from the wrong counters are refused" $ + resync 20 (at 7, [at 9, at 10]) `shouldBe` Nothing + ] + where + ctr = 1000 + resync w submitted = resynchronize SHA1 OTP6 w otpKey ctr submitted + -- the value the client would show at the counter n ahead of the server's + at n = hotp SHA1 OTP6 otpKey (ctr + n) + -- the server counter n ahead of where it started + serverAfter n = Just (ctr + n) + wrongAt i vs = [if j == i then v + 1 else v | (j, v) <- zip [0 :: Int ..] vs] + +-- | totpVerify accepts a value from any step within the skew window and +-- nothing else. It compares a submitted value against secret-derived ones, so +-- pin the accepted and rejected cases down before that comparison is rewritten. +verifyTests :: [Spec] +verifyTests = + [ it "the value for the current step is accepted" $ + assertBool "expected acceptance" (verifyAt 0) + , it "every step within the window is accepted" $ + assertBool "expected acceptance" (all verifyAt [-2 .. 2]) + , it "the step just outside the window is refused" $ + assertBool "expected refusal" (not (any verifyAt [-3, 3])) + , it "a value no step produces is refused" $ + assertBool "expected refusal" $ + not (totpVerify params otpKey now (totp params otpKey now + 1)) + , it "a window of no skew accepts only the current step" $ + assertBool "expected only the current step" $ + let noSkew = TOTP.mkTOTPParams SHA1 0 30 OTP6 NoSkew + in case noSkew of + Left e -> error e + Right ps -> + totpVerify ps otpKey now (totp ps otpKey now) + && not (totpVerify ps otpKey now (totp ps otpKey (now + 30))) + ] + where + params = defaultTOTPParams + now = 1111111109 + + -- one step is 30 seconds under defaultTOTPParams. The offset is taken as + -- an Integer so a step before the current one is an actual subtraction + -- rather than a wrap around OTPTime, which is a Word64. + verifyAt :: Integer -> Bool + verifyAt steps = + totpVerify params otpKey now (totp params otpKey (at steps)) + at steps = fromInteger (toInteger now + 30 * steps) + +spec :: Spec +spec = do + describe "HOTP" $ do + describe "KATs" $ sequence_ (makeKATs (hotp SHA1 OTP6 otpKey) hotpExpected) + describe "digest size" $ sequence_ digestSizeTests + describe "resynchronize" $ sequence_ resyncTests + describe "properties" $ do + prop "resync-expected" prop_resyncExpected + describe "TOTP" $ do + describe "KATs" $ do + describe "SHA1" $ + sequence_ (makeKATs (totp totpSHA1Params otpKey) totpSHA1Expected) + describe "SHA256" $ + sequence_ $ + (makeKATs (totp totpSHA256Params totpSHA256Key) totpSHA256Expected) + describe "SHA512" $ + sequence_ $ + (makeKATs (totp totpSHA512Params totpSHA512Key) totpSHA512Expected) + describe "verify" $ sequence_ verifyTests diff --git a/tests/Padding.hs b/tests/Padding.hs deleted file mode 100644 --- a/tests/Padding.hs +++ /dev/null @@ -1,38 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module Padding (tests) where - -import qualified Data.ByteString as B -import Imports - -import Crypto.Data.Padding - -cases = - [ ("abcdef", 8, "abcdef\x02\x02") - , ("abcd", 4, "abcd\x04\x04\x04\x04") - , ("xyze", 5, "xyze\x01") - ] - -zeroCases = - [ ("", 4, "\NUL\NUL\NUL\NUL", Nothing) - , ("abcdef", 8, "abcdef\NUL\NUL", Nothing) - , ("0123456789abcdef", 16, "0123456789abcdef", Just "0123456789abcdef") - ] - ---instance Arbitrary where - -testPad :: Int -> (B.ByteString, Int, B.ByteString) -> TestTree -testPad n (inp, sz, padded) = - testCase (show n) $ propertyHoldCase [ eqTest "padded" padded (pad (PKCS7 sz) inp) - , eqTest "unpadded" (Just inp) (unpad (PKCS7 sz) padded) - ] - -testZeroPad :: Int -> (B.ByteString, Int, B.ByteString, Maybe B.ByteString) -> TestTree -testZeroPad n (inp, sz, padded, unpadded) = - testCase (show n) $ propertyHoldCase [ eqTest "padded" padded (pad (ZERO sz) inp) - , eqTest "unpadded" unpadded (unpad (ZERO sz) padded) - ] - -tests = testGroup "Padding" - [ testGroup "Cases" $ zipWith testPad [1..] cases - , testGroup "ZeroCases" $ zipWith testZeroPad [1..] zeroCases - ] diff --git a/tests/PaddingSpec.hs b/tests/PaddingSpec.hs new file mode 100644 --- /dev/null +++ b/tests/PaddingSpec.hs @@ -0,0 +1,125 @@ +{-# LANGUAGE OverloadedStrings #-} + +module PaddingSpec (spec) where + +import Control.Exception (ErrorCall (..), evaluate) +import qualified Data.ByteString as B +import Data.List (isInfixOf) +import Imports + +import Crypto.Data.Padding + +cases = + [ ("abcdef", 8, "abcdef\x02\x02") + , ("abcd", 4, "abcd\x04\x04\x04\x04") + , ("xyze", 5, "xyze\x01") + ] + +zeroCases = + [ ("", 4, "\NUL\NUL\NUL\NUL", Nothing) + , ("abcdef", 8, "abcdef\NUL\NUL", Nothing) + , ("0123456789abcdef", 16, "0123456789abcdef", Just "0123456789abcdef") + ] + +-- instance Arbitrary where + +testPad :: Int -> (B.ByteString, Int, B.ByteString) -> Spec +testPad n (inp, sz, padded) = + it (show n) $ + propertyHoldCase + [ eqTest "padded" padded (pad (PKCS7 sz) inp) + , eqTest "unpadded" (Just inp) (unpad (PKCS7 sz) padded) + ] + +testZeroPad + :: Int -> (B.ByteString, Int, B.ByteString, Maybe B.ByteString) -> Spec +testZeroPad n (inp, sz, padded, unpadded) = + it (show n) $ + propertyHoldCase + [ eqTest "padded" padded (pad (ZERO sz) inp) + , eqTest "unpadded" unpadded (unpad (ZERO sz) padded) + ] + +-- | The padding octet of a PKCS7 block carries the number of octets added, so +-- it cannot describe a block longer than 255, and a block of zero has nothing +-- to describe. Outside that range the octet is computed as an Int and then +-- narrowed to a Word8, which wraps: pad and unpad agree on the wrapped value +-- and hand back something that is not what was padded. +blockSizeTests :: Spec +blockSizeTests = describe "PKCS7 block size" $ do + it "round trips at the smallest size" $ + unpad (PKCS7 1) (pad (PKCS7 1) msg) `shouldBe` Just msg + it "round trips at the largest size" $ + unpad (PKCS7 255) (pad (PKCS7 255) msg) `shouldBe` Just msg + it "refuses to pad with a block size above 255" $ + evaluate (B.length (pad (PKCS7 256) msg)) `shouldThrow` rangeError + it "refuses to pad with a block size far above 255" $ + evaluate (B.length (pad (PKCS7 300) msg)) `shouldThrow` rangeError + it "refuses to pad with a block size of zero" $ + evaluate (B.length (pad (PKCS7 0) msg)) `shouldThrow` rangeError + it "refuses to pad with a negative block size" $ + evaluate (B.length (pad (PKCS7 (-1)) msg)) `shouldThrow` rangeError + it "refuses to unpad with a block size outside the range" $ + mapM_ + (\sz -> unpad (PKCS7 sz) oversized `shouldBe` Nothing) + [-1, 0, 256, 300] + where + msg = "a" :: B.ByteString + -- what pad (PKCS7 300) produced while the octet was allowed to wrap + oversized = msg `B.append` B.replicate 299 43 + rangeError (ErrorCall m) = "between 1 and 255" `isInfixOf` m + +-- | PKCS#7 padding runs from one octet to a whole block and no further: the +-- padded length is a multiple of the block size, and the padding is whatever +-- was added to reach it, so it can never exceed one block. unpad weighed the +-- octet against the length of the whole input instead, which only rules out +-- padding longer than the message. A block of sixteen therefore accepted a +-- claim of twenty and handed back twenty octets fewer than it was given. +paddingLengthTests :: Spec +paddingLengthTests = describe "PKCS7 padding length" $ do + it "accepts padding of exactly one block" $ + unpad (PKCS7 16) (pad (PKCS7 16) block) `shouldBe` Just block + it "accepts padding of a single octet" $ + unpad (PKCS7 16) (pad (PKCS7 16) (B.take 15 block)) + `shouldBe` Just (B.take 15 block) + it "rejects padding longer than the block" $ + unpad (PKCS7 16) (claiming 32 20) `shouldBe` Nothing + it "rejects padding longer than the block by one" $ + unpad (PKCS7 16) (claiming 32 17) `shouldBe` Nothing + it "rejects the largest octet a block of sixteen cannot mean" $ + unpad (PKCS7 16) (claiming 256 255) `shouldBe` Nothing + it "still rejects padding longer than the input" $ + unpad (PKCS7 16) (claiming 16 200) `shouldBe` Nothing + where + block = B.replicate 16 0x41 + -- len octets whose last n say that n octets of padding were added + claiming len n = + B.replicate (len - n) 0x41 `B.append` B.replicate n (fromIntegral n) + :: B.ByteString + +-- | ZERO took the remainder of the length by the block size without looking +-- at the size first, so a block size of zero divided by it. PKCS7 has been +-- checking its size since it gained a range; ZERO has a smaller range -- any +-- size from one up works, since the octets say nothing -- but zero and below +-- are still not sizes. +zeroBlockSizeTests :: Spec +zeroBlockSizeTests = describe "ZERO block size" $ do + it "refuses to pad with a block size of zero" $ + evaluate (B.length (pad (ZERO 0) msg)) `shouldThrow` zeroError + it "refuses to pad with a negative block size" $ + evaluate (B.length (pad (ZERO (-1)) msg)) `shouldThrow` zeroError + it "refuses to unpad with a block size of zero" $ + unpad (ZERO 0) msg `shouldBe` Nothing + it "refuses to unpad with a negative block size" $ + unpad (ZERO (-1)) msg `shouldBe` Nothing + where + msg = "ab" :: B.ByteString + zeroError (ErrorCall m) = "at least 1" `isInfixOf` m + +spec :: Spec +spec = do + describe "Cases" $ zipWithM_ testPad [1 ..] cases + describe "ZeroCases" $ zipWithM_ testZeroPad [1 ..] zeroCases + blockSizeTests + paddingLengthTests + zeroBlockSizeTests diff --git a/tests/Poly1305.hs b/tests/Poly1305.hs deleted file mode 100644 --- a/tests/Poly1305.hs +++ /dev/null @@ -1,36 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module Poly1305 (tests) where - -import qualified Data.ByteString as B -import qualified Data.ByteString.Char8 as B () - -import Imports -import Crypto.Error - -import qualified Crypto.MAC.Poly1305 as Poly1305 -import qualified Data.ByteArray as B (convert) - -instance Show Poly1305.Auth where - show _ = "Auth" - -data Chunking = Chunking Int Int - deriving (Show,Eq) - -instance Arbitrary Chunking where - arbitrary = Chunking <$> choose (1,34) <*> choose (1,2048) - -tests = testGroup "Poly1305" - [ testCase "V0" $ - let key = "\x85\xd6\xbe\x78\x57\x55\x6d\x33\x7f\x44\x52\xfe\x42\xd5\x06\xa8\x01\x03\x80\x8a\xfb\x0d\xb2\xfd\x4a\xbf\xf6\xaf\x41\x49\xf5\x1b" :: ByteString - msg = "Cryptographic Forum Research Group" :: ByteString - tag = "\xa8\x06\x1d\xc1\x30\x51\x36\xc6\xc2\x2b\x8b\xaf\x0c\x01\x27\xa9" :: ByteString - in tag @=? B.convert (Poly1305.auth key msg) - , testProperty "Chunking" $ \(Chunking chunkLen totalLen) -> - let key = B.replicate 32 0 - msg = B.pack $ take totalLen $ concat (replicate 10 [1..255]) - in Poly1305.auth key msg == Poly1305.finalize (foldr (flip Poly1305.update) (throwCryptoError $ Poly1305.initialize key) (chunks chunkLen msg)) - ] - where - chunks i bs - | B.length bs < i = [bs] - | otherwise = let (b1,b2) = B.splitAt i bs in b1 : chunks i b2 diff --git a/tests/PubKey/DHSpec.hs b/tests/PubKey/DHSpec.hs new file mode 100644 --- /dev/null +++ b/tests/PubKey/DHSpec.hs @@ -0,0 +1,113 @@ +{-# LANGUAGE OverloadedStrings #-} + +module PubKey.DHSpec (spec) where + +import Control.Exception (evaluate) +import Crypto.Error +import qualified Crypto.PubKey.DH as DH +import qualified Crypto.PubKey.ECC.DH as ECDH +import Crypto.PubKey.ECC.Types + +import Data.ByteArray (convert) +import qualified Data.ByteString as B + +import Imports + +-- | 'DH.SharedKey' wraps its bytes in a newtype, so evaluating it to weak head +-- normal form proves nothing. Convert it to force the bytes themselves. +force :: DH.SharedKey -> IO Int +force sk = evaluate (B.length (convert sk :: ByteString)) + +-- | getShared raises whatever tryGetShared reports, so any CryptoError means the +-- exchange was refused; the exact one is asserted on tryGetShared below. +anyCryptoError :: Selector CryptoError +anyCryptoError = const True + +rejected :: String -> DH.SharedKey -> Spec +rejected name sk = it name $ force sk `shouldThrow` anyCryptoError + +p256 :: Curve +p256 = getCurveByName SEC_p256r1 + +-- | A peer point is attacker supplied, so it has to be checked to be on the +-- curve before it is multiplied by our private number: the curve equation is +-- what confines the result to the group the private number was chosen for. +-- Multiplying an off-curve point instead lands in whatever group that point +-- generates, and a small one leaks the private number. +ecdhTests :: Spec +ecdhTests = + describe "ECDH" $ do + it "a valid exchange agrees" $ do + let qa = ECDH.calculatePublic p256 da + qb = ECDH.calculatePublic p256 db + ECDH.getShared p256 db qa `shouldBe` ECDH.getShared p256 da qb + rejected "a point not on the curve is refused" $ + ECDH.getShared p256 da (Point 1 1) + rejected "a point with a negative coordinate is refused" $ + ECDH.getShared p256 da (Point (-1) 1) + rejected "the point at infinity is refused" $ + ECDH.getShared p256 da PointO + it "tryGetShared agrees with getShared on a valid exchange" $ do + let qb = ECDH.calculatePublic p256 db + ECDH.tryGetShared p256 da qb `shouldBe` CryptoPassed (ECDH.getShared p256 da qb) + it "tryGetShared reports a point not on the curve" $ + ECDH.tryGetShared p256 da (Point 1 1) + `shouldBe` CryptoFailed CryptoError_PointCoordinatesInvalid + it "tryGetShared reports a negative coordinate" $ + ECDH.tryGetShared p256 da (Point (-1) 1) + `shouldBe` CryptoFailed CryptoError_PointCoordinatesInvalid + it "tryGetShared reports the point at infinity" $ + ECDH.tryGetShared p256 da PointO + `shouldBe` CryptoFailed CryptoError_ScalarMultiplicationInvalid + where + da = 0x2eb7ef8e5dcbd0f0fbf70b5d4d43ea0b5f0dbcb45a3e3d8b3f1eaf7a35b1fb31 + db = 0x6c2f5e5b1e9a8d4c3b2a190807f6e5d4c3b2a1908f7e6d5c4b3a29180706f5e4d + +-- | RFC 7919 section 5.1 requires the peer's public value y to satisfy +-- 1 < y < p-1. The excluded values generate the subgroup {1} or {1, p-1}, so +-- the shared secret they produce is one of a handful of constants and carries +-- none of our private number's secrecy. +-- +-- 'Params' also carries the size of p separately from p itself, and only p and +-- g travel on the wire, so the two can disagree; the shared secret must still +-- be the size p calls for rather than raising from i2ospOf_. +ffdhTests :: Spec +ffdhTests = + describe "finite field" $ do + it "a valid exchange agrees" $ do + let ya = DH.calculatePublic params xa + yb = DH.calculatePublic params xb + DH.getShared params xb ya `shouldBe` DH.getShared params xa yb + rejected "y = 0 is refused" $ DH.getShared params xa 0 + rejected "y = 1 is refused" $ DH.getShared params xa 1 + rejected "y = p-1 is refused" $ + DH.getShared params xa (DH.PublicNumber (p - 1)) + rejected "y = p is refused" $ DH.getShared params xa (DH.PublicNumber p) + rejected "y > p is refused" $ DH.getShared params xa (DH.PublicNumber (p + 1)) + it "tryGetShared agrees with getShared on a valid exchange" $ do + let yb = DH.calculatePublic params xb + DH.tryGetShared params xa yb `shouldBe` CryptoPassed (DH.getShared params xa yb) + it "tryGetShared reports a public number out of range" $ + mapM_ + ( \y -> + DH.tryGetShared params xa (DH.PublicNumber y) + `shouldBe` CryptoFailed CryptoError_ParameterInvalid + ) + [0, 1, p - 1, p, p + 1] + it "an understated bit size still yields p-sized output" $ do + let understated = DH.Params p 2 8 + yb = DH.calculatePublic understated xb + force (DH.getShared understated xa yb) `shouldReturn` 128 + where + -- RFC 7919 ffdhe1024 is not defined, so use the 1024-bit MODP group of + -- RFC 2409 section 6.2, whose generator is 2 + p = + 0xFFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7EDEE386BFB5A899FA5AE9F24117C4B1FE649286651ECE65381FFFFFFFFFFFFFFFF + params = DH.Params p 2 1024 + xa = DH.PrivateNumber 0x1f3b5d79a2c4e60813579bdf2468ace0 + xb = DH.PrivateNumber 0x2c4e60813579bdf2468ace01f3b5d79a + +spec :: Spec +spec = do + ecdhTests + ffdhTests diff --git a/tests/PubKey/DSASpec.hs b/tests/PubKey/DSASpec.hs new file mode 100644 --- /dev/null +++ b/tests/PubKey/DSASpec.hs @@ -0,0 +1,457 @@ +{-# LANGUAGE OverloadedStrings #-} + +module PubKey.DSASpec (spec) where + +import Crypto.Hash +import qualified Crypto.PubKey.DSA as DSA +import Data.Maybe (isJust) + +import Imports + +data VectorDSA = VectorDSA + { pgq :: DSA.Params + , msg :: ByteString + , x :: Integer + , y :: Integer + , k :: Integer + , r :: Integer + , s :: Integer + } + +vectorsSHA1 = + [ VectorDSA + { msg = + "\x3b\x46\x73\x6d\x55\x9b\xd4\xe0\xc2\xc1\xb2\x55\x3a\x33\xad\x3c\x6c\xf2\x3c\xac\x99\x8d\x3d\x0c\x0e\x8f\xa4\xb1\x9b\xca\x06\xf2\xf3\x86\xdb\x2d\xcf\xf9\xdc\xa4\xf4\x0a\xd8\xf5\x61\xff\xc3\x08\xb4\x6c\x5f\x31\xa7\x73\x5b\x5f\xa7\xe0\xf9\xe6\xcb\x51\x2e\x63\xd7\xee\xa0\x55\x38\xd6\x6a\x75\xcd\x0d\x42\x34\xb5\xcc\xf6\xc1\x71\x5c\xca\xaf\x9c\xdc\x0a\x22\x28\x13\x5f\x71\x6e\xe9\xbd\xee\x7f\xc1\x3e\xc2\x7a\x03\xa6\xd1\x1c\x5c\x5b\x36\x85\xf5\x19\x00\xb1\x33\x71\x53\xbc\x6c\x4e\x8f\x52\x92\x0c\x33\xfa\x37\xf4\xe7" + , x = 0xc53eae6d45323164c7d07af5715703744a63fc3a + , y = + 0x313fd9ebca91574e1c2eebe1517c57e0c21b0209872140c5328761bbb2450b33f1b18b409ce9ab7c4cd8fda3391e8e34868357c199e16a6b2eba06d6749def791d79e95d3a4d09b24c392ad89dbf100995ae19c01062056bb14bce005e8731efde175f95b975089bdcdaea562b32786d96f5a31aedf75364008ad4fffebb970b + , k = 0x98cbcc4969d845e2461b5f66383dd503712bbcfa + , r = 0x50ed0e810e3f1c7cb6ac62332058448bd8b284c0 + , s = 0xc6aded17216b46b7e4b6f2a97c1ad7cc3da83fde + , pgq = dsaParams + } + , VectorDSA + { msg = + "\xd2\xbc\xb5\x3b\x04\x4b\x3e\x2e\x4b\x61\xba\x2f\x91\xc0\x99\x5f\xb8\x3a\x6a\x97\x52\x5e\x66\x44\x1a\x3b\x48\x9d\x95\x94\x23\x8b\xc7\x40\xbd\xee\xa0\xf7\x18\xa7\x69\xc9\x77\xe2\xde\x00\x38\x77\xb5\xd7\xdc\x25\xb1\x82\xae\x53\x3d\xb3\x3e\x78\xf2\xc3\xff\x06\x45\xf2\x13\x7a\xbc\x13\x7d\x4e\x7d\x93\xcc\xf2\x4f\x60\xb1\x8a\x82\x0b\xc0\x7c\x7b\x4b\x5f\xe0\x8b\x4f\x9e\x7d\x21\xb2\x56\xc1\x8f\x3b\x9d\x49\xac\xc4\xf9\x3e\x2c\xe6\xf3\x75\x4c\x78\x07\x75\x7d\x2e\x11\x76\x04\x26\x12\xcb\x32\xfc\x3f\x4f\x70\x70\x0e\x25" + , x = 0xe65131d73470f6ad2e5878bdc9bef536faf78831 + , y = + 0x29bdd759aaa62d4bf16b4861c81cf42eac2e1637b9ecba512bdbc13ac12a80ae8de2526b899ae5e4a231aef884197c944c732693a634d7659abc6975a773f8d3cd5a361fe2492386a3c09aaef12e4a7e73ad7dfc3637f7b093f2c40d6223a195c136adf2ea3fbf8704a675aa7817aa7ec7f9adfb2854d4e05c3ce7f76560313b + , k = 0x87256a64e98cf5be1034ecfa766f9d25d1ac7ceb + , r = 0xa26c00b5750a2d27fe7435b93476b35438b4d8ab + , s = 0x61c9bfcb2938755afa7dad1d1e07c6288617bf70 + , pgq = dsaParams + } + , VectorDSA + { msg = + "\xd5\x43\x1e\x6b\x16\xfd\xae\x31\x48\x17\x42\xbd\x39\x47\x58\xbe\xb8\xe2\x4f\x31\x94\x7e\x19\xb7\xea\x7b\x45\x85\x21\x88\x22\x70\xc1\xf4\x31\x92\xaa\x05\x0f\x44\x85\x14\x5a\xf8\xf3\xf9\xc5\x14\x2d\x68\xb8\x50\x18\xd2\xec\x9c\xb7\xa3\x7b\xa1\x2e\xd2\x3e\x73\xb9\x5f\xd6\x80\xfb\xa3\xc6\x12\x65\xe9\xf5\xa0\xa0\x27\xd7\x0f\xad\x0c\x8a\xa0\x8a\x3c\xbf\xbe\x99\x01\x8d\x00\x45\x38\x61\x73\xe5\xfa\xe2\x25\xfa\xeb\xe0\xce\xf5\xdd\x45\x91\x0f\x40\x0a\x86\xc2\xbe\x4e\x15\x25\x2a\x16\xde\x41\x20\xa2\x67\xbe\x2b\x59\x4d" + , x = 0x20bcabc6d9347a6e79b8e498c60c44a19c73258c + , y = + 0x23b4f404aa3c575e550bb320fdb1a085cd396a10e5ebc6771da62f037cab19eacd67d8222b6344038c4f7af45f5e62b55480cbe2111154ca9697ca76d87b56944138084e74c6f90a05cf43660dff8b8b3fabfcab3f0e4416775fdf40055864be102b4587392e77752ed2aeb182ee4f70be4a291dbe77b84a44ee34007957b1e0 + , k = 0x7d9bcfc9225432de9860f605a38d389e291ca750 + , r = 0x3f0a4ad32f0816821b8affb518e9b599f35d57c2 + , s = 0xea06638f2b2fc9d1dfe99c2a492806b497e2b0ea + , pgq = dsaParams + } + , VectorDSA + { msg = + "\x85\x66\x2b\x69\x75\x50\xe4\x91\x5c\x29\xe3\x38\xb6\x24\xb9\x12\x84\x5d\x6d\x1a\x92\x0d\x9e\x4c\x16\x04\xdd\x47\xd6\x92\xbc\x7c\x0f\xfb\x95\xae\x61\x4e\x85\x2b\xeb\xaf\x15\x73\x75\x8a\xd0\x1c\x71\x3c\xac\x0b\x47\x6e\x2f\x12\x17\x45\xa3\xcf\xee\xff\xb2\x44\x1f\xf6\xab\xfb\x9b\xbe\xb9\x8a\xa6\x34\xca\x6f\xf5\x41\x94\x7d\xcc\x99\x27\x65\x9d\x44\xf9\x5c\x5f\xf9\x17\x0f\xdc\x3c\x86\x47\x3c\xb6\x01\xba\x31\xb4\x87\xfe\x59\x36\xba\xc5\xd9\xc6\x32\xcb\xcc\x3d\xb0\x62\x46\xba\x01\xc5\x5a\x03\x8d\x79\x7f\xe3\xf6\xc3" + , x = 0x52d1fbe687aa0702a51a5bf9566bd51bd569424c + , y = + 0x6bc36cb3fa61cecc157be08639a7ca9e3de073b8a0ff23574ce5ab0a867dfd60669a56e60d1c989b3af8c8a43f5695d503e3098963990e12b63566784171058eace85c728cd4c08224c7a6efea75dca20df461013c75f40acbc23799ebee7f3361336dadc4a56f305708667bfe602b8ea75a491a5cf0c06ebd6fdc7161e10497 + , k = 0x960c211891c090d05454646ebac1bfe1f381e82b + , r = 0x3bc29dee96957050ba438d1b3e17b02c1725d229 + , s = 0x0af879cf846c434e08fb6c63782f4d03e0d88865 + , pgq = dsaParams + } + , VectorDSA + { msg = + "\x87\xb6\xe7\x5b\x9f\x8e\x99\xc4\xdd\x62\xad\xb6\x93\xdd\x58\x90\xed\xff\x1b\xd0\x02\x8f\x4e\xf8\x49\xdf\x0f\x1d\x2c\xe6\xb1\x81\xfc\x3a\x55\xae\xa6\xd0\xa1\xf0\xae\xca\xb8\xed\x9e\x24\x8a\x00\xe9\x6b\xe7\x94\xa7\xcf\xba\x12\x46\xef\xb7\x10\xef\x4b\x37\x47\x1c\xef\x0a\x1b\xcf\x55\xce\xbc\x8d\x5a\xd0\x71\x61\x2b\xd2\x37\xef\xed\xd5\x10\x23\x62\xdb\x07\xa1\xe2\xc7\xa6\xf1\x5e\x09\xfe\x64\xba\x42\xb6\x0a\x26\x28\xd8\x69\xae\x05\xef\x61\x1f\xe3\x8d\x9c\xe1\x5e\xee\xc9\xbb\x3d\xec\xc8\xdc\x17\x80\x9f\x3b\x6e\x95" + , x = 0xc86a54ec5c4ec63d7332cf43ddb082a34ed6d5f5 + , y = + 0x014ac746d3605efcb8a2c7dae1f54682a262e27662b252c09478ce87d0aaa522d7c200043406016c0c42896d21750b15dbd57f9707ec37dcea5651781b67ad8d01f5099fe7584b353b641bb159cc717d8ceb18b66705e656f336f1214b34f0357e577ab83641969e311bf40bdcb3ffd5e0bb59419f229508d2f432cc2859ff75 + , k = 0x6c445cee68042553fbe63be61be4ddb99d8134af + , r = 0x637e07a5770f3dc65e4506c68c770e5ef6b8ced3 + , s = 0x7dfc6f83e24f09745e01d3f7ae0ed1474e811d47 + , pgq = dsaParams + } + , VectorDSA + { msg = + "\x22\x59\xee\xad\x2d\x6b\xbc\x76\xd4\x92\x13\xea\x0d\xc8\xb7\x35\x0a\x97\x69\x9f\x22\x34\x10\x44\xc3\x94\x07\x82\x36\x4a\xc9\xea\x68\x31\x79\xa4\x38\xa5\xea\x45\x99\x8d\xf9\x7c\x29\x72\xda\xe0\x38\x51\xf5\xbe\x23\xfa\x9f\x04\x18\x2e\x79\xdd\xb2\xb5\x6d\xc8\x65\x23\x93\xec\xb2\x7f\x3f\x3b\x7c\x8a\x8d\x76\x1a\x86\xb3\xb8\xf4\xd4\x1a\x07\xb4\xbe\x7d\x02\xfd\xde\xfc\x42\xb9\x28\x12\x4a\x5a\x45\xb9\xf4\x60\x90\x42\x20\x9b\x3a\x7f\x58\x5b\xd5\x14\xcc\x39\xc0\x0e\xff\xcc\x42\xc7\xfe\x70\xfa\x83\xed\xf8\xa3\x2b\xf4" + , x = 0xaee6f213b9903c8069387e64729a08999e5baf65 + , y = + 0x0fe74045d7b0d472411202831d4932396f242a9765e92be387fd81bbe38d845054528b348c03984179b8e505674cb79d88cc0d8d3e8d7392f9aa773b29c29e54a9e326406075d755c291fcedbcc577934c824af988250f64ed5685fce726cff65e92d708ae11cbfaa958ab8d8b15340a29a137b5b4357f7ed1c7a5190cbf98a4 + , k = 0xe1704bae025942e2e63c6d76bab88da79640073a + , r = 0x83366ba3fed93dfb38d541203ecbf81c363998e2 + , s = 0x1fe299c36a1332f23bf2e10a6c6a4e0d3cdd2bf4 + , pgq = dsaParams + } + , VectorDSA + { msg = + "\x21\x9e\x8d\xf5\xbf\x88\x15\x90\x43\x0e\xce\x60\x82\x50\xf7\x67\x0d\xc5\x65\x37\x24\x93\x02\x42\x9e\x28\xec\xfe\xb9\xce\xaa\xa5\x49\x10\xa6\x94\x90\xf7\x65\xf3\xdf\x82\xe8\xb0\x1c\xd7\xd7\x6e\x56\x1d\x0f\x6c\xe2\x26\xef\x3c\xf7\x52\xca\xda\x6f\xeb\xdc\x5b\xf0\x0d\x67\x94\x7f\x92\xd4\x20\x51\x6b\x9e\x37\xc9\x6c\x8f\x1f\x2d\xa0\xb0\x75\x09\x7c\x3b\xda\x75\x8a\x8d\x91\xbd\x2e\xbe\x9c\x75\xcf\x14\x7f\x25\x4c\x25\x69\x63\xb3\x3b\x67\xd0\x2b\x6a\xa0\x9e\x7d\x74\x65\xd0\x38\xe5\x01\x95\xec\xe4\x18\x9b\x41\xe7\x68" + , x = 0x699f1c07aa458c6786e770b40197235fe49cf21a + , y = + 0x3a41b0678ff3c4dde20fa39772bac31a2f18bae4bedec9e12ee8e02e30e556b1a136013bef96b0d30b568233dcecc71e485ed75c922afb4d0654e709bee84993792130220e3005fdb06ebdfc0e2df163b5ec424e836465acd6d92e243c86f2b94b26b8d73bd9cf722c757e0b80b0af16f185de70e8ca850b1402d126ea60f309 + , k = 0x5bbb795bfa5fa72191fed3434a08741410367491 + , r = 0x579761039ae0ddb81106bf4968e320083bbcb947 + , s = 0x503ea15dbac9dedeba917fa8e9f386b93aa30353 + , pgq = dsaParams + } + , VectorDSA + { msg = + "\x2d\xa7\x9d\x06\x78\x85\xeb\x3c\xcf\x5e\x29\x3a\xe3\xb1\xd8\x22\x53\x22\x20\x3a\xbb\x5a\xdf\xde\x3b\x0f\x53\xbb\xe2\x4c\x4f\xe0\x01\x54\x1e\x11\x83\xd8\x70\xa9\x97\xf1\xf9\x46\x01\x00\xb5\xd7\x11\x92\x31\x80\x15\x43\x45\x28\x7a\x02\x14\xcf\x1c\xac\x37\xb7\xa4\x7d\xfb\xb2\xa0\xe8\xce\x49\x16\xf9\x4e\xbd\x6f\xa5\x4e\x31\x5b\x7a\x8e\xb5\xb6\x3c\xd9\x54\xc5\xba\x05\xc1\xbf\x7e\x33\xa4\xe8\xa1\x51\xf3\x2d\x28\x77\xb0\x17\x29\xc1\xad\x0e\x7c\x01\xbb\x8a\xe7\x23\xc9\x95\x18\x38\x03\xe4\x56\x36\x52\x0e\xa3\x8c\xa1" + , x = 0xd6e08c20c82949ddba93ea81eb2fea8c595894dc + , y = + 0x56f7272210f316c51af8bfc45a421fd4e9b1043853271b7e79f40936f0adcf262a86097aa86e19e6cb5307685d863dba761342db6c973b3849b1e060aca926f41fe07323601062515ae85f3172b8f34899c621d59fa21f73d5ae97a3deb5e840b25a18fd580862fd7b1cf416c7ae9fc5842a0197fdb0c5173ff4a4f102a8cf89 + , k = 0x6d72c30d4430959800740f2770651095d0c181c2 + , r = 0x5dd90d69add67a5fae138eec1aaff0229aa4afc4 + , s = 0x47f39c4db2387f10762f45b80dfd027906d7ef04 + , pgq = dsaParams + } + , VectorDSA + { msg = + "\xba\x30\xd8\x5b\xe3\x57\xe7\xfb\x29\xf8\xa0\x7e\x1f\x12\x7b\xaa\xa2\x4b\x2e\xe0\x27\xf6\x4c\xb5\xef\xee\xc6\xaa\xea\xbc\xc7\x34\x5c\x5d\x55\x6e\xbf\x4b\xdc\x7a\x61\xc7\x7c\x7b\x7e\xa4\x3c\x73\xba\xbc\x18\xf7\xb4\x80\x77\x22\xda\x23\x9e\x45\xdd\xf2\x49\x84\x9c\xbb\xfe\x35\x07\x11\x2e\xbf\x87\xd7\xef\x56\x0c\x2e\x7d\x39\x1e\xd8\x42\x4f\x87\x10\xce\xa4\x16\x85\x14\x3e\x30\x06\xf8\x1b\x68\xfb\xb4\xd5\xf9\x64\x4c\x7c\xd1\x0f\x70\x92\xef\x24\x39\xb8\xd1\x8c\x0d\xf6\x55\xe0\x02\x89\x37\x2a\x41\x66\x38\x5d\x64\x0c" + , x = 0x50018482864c1864e9db1f04bde8dbfd3875c76d + , y = + 0x0942a5b7a72ab116ead29308cf658dfe3d55d5d61afed9e3836e64237f9d6884fdd827d2d5890c9a41ae88e7a69fc9f345ade9c480c6f08cff067c183214c227236cedb6dd1283ca2a602574e8327510221d4c27b162143b7002d8c726916826265937b87be9d5ec6d7bd28fb015f84e0ab730da7a4eaf4ef3174bf0a22a6392 + , k = 0xdf3a9348f37b5d2d4c9176db266ae388f1fa7e0f + , r = 0x448434b214eee38bde080f8ec433e8d19b3ddf0d + , s = 0x0c02e881b777923fe0ea674f2621298e00199d5f + , pgq = dsaParams + } + , VectorDSA + { msg = + "\x83\x49\x9e\xfb\x06\xbb\x7f\xf0\x2f\xfb\x46\xc2\x78\xa5\xe9\x26\x30\xac\x5b\xc3\xf9\xe5\x3d\xd2\xe7\x8f\xf1\x5e\x36\x8c\x7e\x31\xaa\xd7\x7c\xf7\x71\xf3\x5f\xa0\x2d\x0b\x5f\x13\x52\x08\xa4\xaf\xdd\x86\x7b\xb2\xec\x26\xea\x2e\x7d\xd6\x4c\xde\xf2\x37\x50\x8a\x38\xb2\x7f\x39\xd8\xb2\x2d\x45\xca\xc5\xa6\x8a\x90\xb6\xea\x76\x05\x86\x45\xf6\x35\x6a\x93\x44\xd3\x6f\x00\xec\x66\x52\xea\xa4\xe9\xba\xe7\xb6\x94\xf9\xf1\xfc\x8c\x6c\x5e\x86\xfa\xdc\x7b\x27\xa2\x19\xb5\xc1\xb2\xae\x80\xa7\x25\xe5\xf6\x11\x65\xfe\x2e\xdc" + , x = 0xae56f66b0a9405b9cca54c60ec4a3bb5f8be7c3f + , y = + 0xa01542c3da410dd57930ca724f0f507c4df43d553c7f69459939685941ceb95c7dcc3f175a403b359621c0d4328e98f15f330a63865baf3e7eb1604a0715e16eed64fd14b35d3a534259a6a7ddf888c4dbb5f51bbc6ed339e5bb2a239d5cfe2100ac8e2f9c16e536f25119ab435843af27dc33414a9e4602f96d7c94d6021cec + , k = 0x8857ff301ad0169d164fa269977a116e070bac17 + , r = 0x8c2fab489c34672140415d41a65cef1e70192e23 + , s = 0x3df86a9e2efe944a1c7ea9c30cac331d00599a0e + , pgq = dsaParams + } + , VectorDSA -- 1024-bit example from RFC 6979 with SHA-1 + { msg = "sample" + , x = 0x411602CB19A6CCC34494D79D98EF1E7ED5AF25F7 + , y = + 0x5DF5E01DED31D0297E274E1691C192FE5868FEF9E19A84776454B100CF16F65392195A38B90523E2542EE61871C0440CB87C322FC4B4D2EC5E1E7EC766E1BE8D4CE935437DC11C3C8FD426338933EBFE739CB3465F4D3668C5E473508253B1E682F65CBDC4FAE93C2EA212390E54905A86E2223170B44EAA7DA5DD9FFCFB7F3B + , k = 0x7BDB6B0FF756E1BB5D53583EF979082F9AD5BD5B + , r = 0x2E1A0C2562B2912CAAF89186FB0F42001585DA55 + , s = 0x29EFB6B0AFF2D7A68EB70CA313022253B9A88DF5 + , pgq = rfc6979Params1024 + } + , VectorDSA -- 1024-bit example from RFC 6979 with SHA-1 + { msg = "test" + , x = 0x411602CB19A6CCC34494D79D98EF1E7ED5AF25F7 + , y = + 0x5DF5E01DED31D0297E274E1691C192FE5868FEF9E19A84776454B100CF16F65392195A38B90523E2542EE61871C0440CB87C322FC4B4D2EC5E1E7EC766E1BE8D4CE935437DC11C3C8FD426338933EBFE739CB3465F4D3668C5E473508253B1E682F65CBDC4FAE93C2EA212390E54905A86E2223170B44EAA7DA5DD9FFCFB7F3B + , k = 0x5C842DF4F9E344EE09F056838B42C7A17F4A6433 + , r = 0x42AB2052FD43E123F0607F115052A67DCD9C5C77 + , s = 0x183916B0230D45B9931491D4C6B0BD2FB4AAF088 + , pgq = rfc6979Params1024 + } + , VectorDSA -- 2048-bit example from RFC 6979 with SHA-1 + { msg = "sample" + , x = 0x69C7548C21D0DFEA6B9A51C9EAD4E27C33D3B3F180316E5BCAB92C933F0E4DBC + , y = + 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k = 0x888FA6F7738A41BDC9846466ABDB8174C0338250AE50CE955CA16230F9CBD53E + , r = 0x3A1B2DBD7489D6ED7E608FD036C83AF396E290DBD602408E8677DAABD6E7445A + , s = 0xD26FCBA19FA3E3058FFC02CA1596CDBB6E0D20CB37B06054F7E36DED0CDBBCCF + , pgq = rfc6979Params2048 + } + , VectorDSA -- 2048-bit example from RFC 6979 with SHA-1 + { msg = "test" + , x = 0x69C7548C21D0DFEA6B9A51C9EAD4E27C33D3B3F180316E5BCAB92C933F0E4DBC + , y = + 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k = 0x6EEA486F9D41A037B2C640BC5645694FF8FF4B98D066A25F76BE641CCB24BA4F + , r = 0xC18270A93CFC6063F57A4DFA86024F700D980E4CF4E2CB65A504397273D98EA0 + , s = 0x414F22E5F31A8B6D33295C7539C1C1BA3A6160D7D68D50AC0D3A5BEAC2884FAA + , pgq = rfc6979Params2048 + } + ] + where + -- (p,g,q) + dsaParams = + DSA.Params + { DSA.params_p = + 0xa8f9cd201e5e35d892f85f80e4db2599a5676a3b1d4f190330ed3256b26d0e80a0e49a8fffaaad2a24f472d2573241d4d6d6c7480c80b4c67bb4479c15ada7ea8424d2502fa01472e760241713dab025ae1b02e1703a1435f62ddf4ee4c1b664066eb22f2e3bf28bb70a2a76e4fd5ebe2d1229681b5b06439ac9c7e9d8bde283 + , DSA.params_g = + 0x2b3152ff6c62f14622b8f48e59f8af46883b38e79b8c74deeae9df131f8b856e3ad6c8455dab87cc0da8ac973417ce4f7878557d6cdf40b35b4a0ca3eb310c6a95d68ce284ad4e25ea28591611ee08b8444bd64b25f3f7c572410ddfb39cc728b9c936f85f419129869929cdb909a6a3a99bbe089216368171bd0ba81de4fe33 + , DSA.params_q = 0xf85f0f83ac4df7ea0cdf8f469bfeeaea14156495 + } + +vectorsSHA224 = + [ VectorDSA + { msg = "sample" + , x = 0x411602CB19A6CCC34494D79D98EF1E7ED5AF25F7 + , y = + 0x5DF5E01DED31D0297E274E1691C192FE5868FEF9E19A84776454B100CF16F65392195A38B90523E2542EE61871C0440CB87C322FC4B4D2EC5E1E7EC766E1BE8D4CE935437DC11C3C8FD426338933EBFE739CB3465F4D3668C5E473508253B1E682F65CBDC4FAE93C2EA212390E54905A86E2223170B44EAA7DA5DD9FFCFB7F3B + , k = 0x562097C06782D60C3037BA7BE104774344687649 + , r = 0x4BC3B686AEA70145856814A6F1BB53346F02101E + , s = 0x410697B92295D994D21EDD2F4ADA85566F6F94C1 + , pgq = rfc6979Params1024 + } + , VectorDSA + { msg = "test" + , x = 0x411602CB19A6CCC34494D79D98EF1E7ED5AF25F7 + , y = + 0x5DF5E01DED31D0297E274E1691C192FE5868FEF9E19A84776454B100CF16F65392195A38B90523E2542EE61871C0440CB87C322FC4B4D2EC5E1E7EC766E1BE8D4CE935437DC11C3C8FD426338933EBFE739CB3465F4D3668C5E473508253B1E682F65CBDC4FAE93C2EA212390E54905A86E2223170B44EAA7DA5DD9FFCFB7F3B + , k = 0x4598B8EFC1A53BC8AECD58D1ABBB0C0C71E67297 + , r = 0x6868E9964E36C1689F6037F91F28D5F2C30610F2 + , s = 0x49CEC3ACDC83018C5BD2674ECAAD35B8CD22940F + , pgq = rfc6979Params1024 + } + , VectorDSA + { msg = "sample" + , x = 0x69C7548C21D0DFEA6B9A51C9EAD4E27C33D3B3F180316E5BCAB92C933F0E4DBC + , y = + 0x667098C654426C78D7F8201EAC6C203EF030D43605032C2F1FA937E5237DBD949F34A0A2564FE126DC8B715C5141802CE0979C8246463C40E6B6BDAA2513FA611728716C2E4FD53BC95B89E69949D96512E873B9C8F8DFD499CC312882561ADECB31F658E934C0C197F2C4D96B05CBAD67381E7B768891E4DA3843D24D94CDFB5126E9B8BF21E8358EE0E0A30EF13FD6A664C0DCE3731F7FB49A4845A4FD8254687972A2D382599C9BAC4E0ED7998193078913032558134976410B89D2C171D123AC35FD977219597AA7D15C1A9A428E59194F75C721EBCBCFAE44696A499AFA74E04299F132026601638CB87AB79190D4A0986315DA8EEC6561C938996BEADF + , k = 0xBC372967702082E1AA4FCE892209F71AE4AD25A6DFD869334E6F153BD0C4D806 + , r = 0xDC9F4DEADA8D8FF588E98FED0AB690FFCE858DC8C79376450EB6B76C24537E2C + , s = 0xA65A9C3BC7BABE286B195D5DA68616DA8D47FA0097F36DD19F517327DC848CEC + , pgq = rfc6979Params2048 + } + , VectorDSA + { msg = "test" + , x = 0x69C7548C21D0DFEA6B9A51C9EAD4E27C33D3B3F180316E5BCAB92C933F0E4DBC + , y = + 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k = 0x06BD4C05ED74719106223BE33F2D95DA6B3B541DAD7BFBD7AC508213B6DA6670 + , r = 0x272ABA31572F6CC55E30BF616B7A265312018DD325BE031BE0CC82AA17870EA3 + , s = 0xE9CC286A52CCE201586722D36D1E917EB96A4EBDB47932F9576AC645B3A60806 + , pgq = rfc6979Params2048 + } + ] + +vectorsSHA256 = + [ VectorDSA + { msg = "sample" + , x = 0x411602CB19A6CCC34494D79D98EF1E7ED5AF25F7 + , y = + 0x5DF5E01DED31D0297E274E1691C192FE5868FEF9E19A84776454B100CF16F65392195A38B90523E2542EE61871C0440CB87C322FC4B4D2EC5E1E7EC766E1BE8D4CE935437DC11C3C8FD426338933EBFE739CB3465F4D3668C5E473508253B1E682F65CBDC4FAE93C2EA212390E54905A86E2223170B44EAA7DA5DD9FFCFB7F3B + , k = 0x519BA0546D0C39202A7D34D7DFA5E760B318BCFB + , r = 0x81F2F5850BE5BC123C43F71A3033E9384611C545 + , s = 0x4CDD914B65EB6C66A8AAAD27299BEE6B035F5E89 + , pgq = rfc6979Params1024 + } + , VectorDSA + { msg = "test" + , x = 0x411602CB19A6CCC34494D79D98EF1E7ED5AF25F7 + , y = + 0x5DF5E01DED31D0297E274E1691C192FE5868FEF9E19A84776454B100CF16F65392195A38B90523E2542EE61871C0440CB87C322FC4B4D2EC5E1E7EC766E1BE8D4CE935437DC11C3C8FD426338933EBFE739CB3465F4D3668C5E473508253B1E682F65CBDC4FAE93C2EA212390E54905A86E2223170B44EAA7DA5DD9FFCFB7F3B + , k = 0x5A67592E8128E03A417B0484410FB72C0B630E1A + , r = 0x22518C127299B0F6FDC9872B282B9E70D0790812 + , s = 0x6837EC18F150D55DE95B5E29BE7AF5D01E4FE160 + , pgq = rfc6979Params1024 + } + , VectorDSA + { msg = "sample" + , x = 0x69C7548C21D0DFEA6B9A51C9EAD4E27C33D3B3F180316E5BCAB92C933F0E4DBC + , y = + 0x667098C654426C78D7F8201EAC6C203EF030D43605032C2F1FA937E5237DBD949F34A0A2564FE126DC8B715C5141802CE0979C8246463C40E6B6BDAA2513FA611728716C2E4FD53BC95B89E69949D96512E873B9C8F8DFD499CC312882561ADECB31F658E934C0C197F2C4D96B05CBAD67381E7B768891E4DA3843D24D94CDFB5126E9B8BF21E8358EE0E0A30EF13FD6A664C0DCE3731F7FB49A4845A4FD8254687972A2D382599C9BAC4E0ED7998193078913032558134976410B89D2C171D123AC35FD977219597AA7D15C1A9A428E59194F75C721EBCBCFAE44696A499AFA74E04299F132026601638CB87AB79190D4A0986315DA8EEC6561C938996BEADF + , k = 0x8926A27C40484216F052F4427CFD5647338B7B3939BC6573AF4333569D597C52 + , r = 0xEACE8BDBBE353C432A795D9EC556C6D021F7A03F42C36E9BC87E4AC7932CC809 + , s = 0x7081E175455F9247B812B74583E9E94F9EA79BD640DC962533B0680793A38D53 + , pgq = rfc6979Params2048 + } + , VectorDSA + { msg = "test" + , x = 0x69C7548C21D0DFEA6B9A51C9EAD4E27C33D3B3F180316E5BCAB92C933F0E4DBC + , y = + 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k = 0x1D6CE6DDA1C5D37307839CD03AB0A5CBB18E60D800937D67DFB4479AAC8DEAD7 + , r = 0x8190012A1969F9957D56FCCAAD223186F423398D58EF5B3CEFD5A4146A4476F0 + , s = 0x7452A53F7075D417B4B013B278D1BB8BBD21863F5E7B1CEE679CF2188E1AB19E + , pgq = rfc6979Params2048 + } + ] + +vectorsSHA384 = + [ VectorDSA + { msg = "sample" + , x = 0x411602CB19A6CCC34494D79D98EF1E7ED5AF25F7 + , y = + 0x5DF5E01DED31D0297E274E1691C192FE5868FEF9E19A84776454B100CF16F65392195A38B90523E2542EE61871C0440CB87C322FC4B4D2EC5E1E7EC766E1BE8D4CE935437DC11C3C8FD426338933EBFE739CB3465F4D3668C5E473508253B1E682F65CBDC4FAE93C2EA212390E54905A86E2223170B44EAA7DA5DD9FFCFB7F3B + , k = 0x95897CD7BBB944AA932DBC579C1C09EB6FCFC595 + , r = 0x07F2108557EE0E3921BC1774F1CA9B410B4CE65A + , s = 0x54DF70456C86FAC10FAB47C1949AB83F2C6F7595 + , pgq = rfc6979Params1024 + } + , VectorDSA + { msg = "test" + , x = 0x411602CB19A6CCC34494D79D98EF1E7ED5AF25F7 + , y = + 0x5DF5E01DED31D0297E274E1691C192FE5868FEF9E19A84776454B100CF16F65392195A38B90523E2542EE61871C0440CB87C322FC4B4D2EC5E1E7EC766E1BE8D4CE935437DC11C3C8FD426338933EBFE739CB3465F4D3668C5E473508253B1E682F65CBDC4FAE93C2EA212390E54905A86E2223170B44EAA7DA5DD9FFCFB7F3B + , k = 0x220156B761F6CA5E6C9F1B9CF9C24BE25F98CD89 + , r = 0x854CF929B58D73C3CBFDC421E8D5430CD6DB5E66 + , s = 0x91D0E0F53E22F898D158380676A871A157CDA622 + , pgq = rfc6979Params1024 + } + , VectorDSA + { msg = "sample" + , x = 0x69C7548C21D0DFEA6B9A51C9EAD4E27C33D3B3F180316E5BCAB92C933F0E4DBC + , y = + 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k = 0xC345D5AB3DA0A5BCB7EC8F8FB7A7E96069E03B206371EF7D83E39068EC564920 + , r = 0xB2DA945E91858834FD9BF616EBAC151EDBC4B45D27D0DD4A7F6A22739F45C00B + , s = 0x19048B63D9FD6BCA1D9BAE3664E1BCB97F7276C306130969F63F38FA8319021B + , pgq = rfc6979Params2048 + } + , VectorDSA + { msg = "test" + , x = 0x69C7548C21D0DFEA6B9A51C9EAD4E27C33D3B3F180316E5BCAB92C933F0E4DBC + , y = + 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k = 0x206E61F73DBE1B2DC8BE736B22B079E9DACD974DB00EEBBC5B64CAD39CF9F91C + , r = 0x239E66DDBE8F8C230A3D071D601B6FFBDFB5901F94D444C6AF56F732BEB954BE + , s = 0x6BD737513D5E72FE85D1C750E0F73921FE299B945AAD1C802F15C26A43D34961 + , pgq = rfc6979Params2048 + } + ] + +vectorsSHA512 = + [ VectorDSA + { msg = "sample" + , x = 0x411602CB19A6CCC34494D79D98EF1E7ED5AF25F7 + , y = + 0x5DF5E01DED31D0297E274E1691C192FE5868FEF9E19A84776454B100CF16F65392195A38B90523E2542EE61871C0440CB87C322FC4B4D2EC5E1E7EC766E1BE8D4CE935437DC11C3C8FD426338933EBFE739CB3465F4D3668C5E473508253B1E682F65CBDC4FAE93C2EA212390E54905A86E2223170B44EAA7DA5DD9FFCFB7F3B + , k = 0x09ECE7CA27D0F5A4DD4E556C9DF1D21D28104F8B + , r = 0x16C3491F9B8C3FBBDD5E7A7B667057F0D8EE8E1B + , s = 0x02C36A127A7B89EDBB72E4FFBC71DABC7D4FC69C + , pgq = rfc6979Params1024 + } + , VectorDSA + { msg = "test" + , x = 0x411602CB19A6CCC34494D79D98EF1E7ED5AF25F7 + , y = + 0x5DF5E01DED31D0297E274E1691C192FE5868FEF9E19A84776454B100CF16F65392195A38B90523E2542EE61871C0440CB87C322FC4B4D2EC5E1E7EC766E1BE8D4CE935437DC11C3C8FD426338933EBFE739CB3465F4D3668C5E473508253B1E682F65CBDC4FAE93C2EA212390E54905A86E2223170B44EAA7DA5DD9FFCFB7F3B + , k = 0x65D2C2EEB175E370F28C75BFCDC028D22C7DBE9C + , r = 0x8EA47E475BA8AC6F2D821DA3BD212D11A3DEB9A0 + , s = 0x7C670C7AD72B6C050C109E1790008097125433E8 + , pgq = rfc6979Params1024 + } + , VectorDSA + { msg = "sample" + , x = 0x69C7548C21D0DFEA6B9A51C9EAD4E27C33D3B3F180316E5BCAB92C933F0E4DBC + , y = + 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k = 0x5A12994431785485B3F5F067221517791B85A597B7A9436995C89ED0374668FC + , r = 0x2016ED092DC5FB669B8EFB3D1F31A91EECB199879BE0CF78F02BA062CB4C942E + , s = 0xD0C76F84B5F091E141572A639A4FB8C230807EEA7D55C8A154A224400AFF2351 + , pgq = rfc6979Params2048 + } + , VectorDSA + { msg = "test" + , x = 0x69C7548C21D0DFEA6B9A51C9EAD4E27C33D3B3F180316E5BCAB92C933F0E4DBC + , y = + 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k = 0xAFF1651E4CD6036D57AA8B2A05CCF1A9D5A40166340ECBBDC55BE10B568AA0AA + , r = 0x89EC4BB1400ECCFF8E7D9AA515CD1DE7803F2DAFF09693EE7FD1353E90A68307 + , s = 0xC9F0BDABCC0D880BB137A994CC7F3980CE91CC10FAF529FC46565B15CEA854E1 + , pgq = rfc6979Params2048 + } + ] + +rfc6979Params1024 = + DSA.Params + { DSA.params_p = + 0x86F5CA03DCFEB225063FF830A0C769B9DD9D6153AD91D7CE27F787C43278B447E6533B86B18BED6E8A48B784A14C252C5BE0DBF60B86D6385BD2F12FB763ED8873ABFD3F5BA2E0A8C0A59082EAC056935E529DAF7C610467899C77ADEDFC846C881870B7B19B2B58F9BE0521A17002E3BDD6B86685EE90B3D9A1B02B782B1779 + , DSA.params_g = + 0x07B0F92546150B62514BB771E2A0C0CE387F03BDA6C56B505209FF25FD3C133D89BBCD97E904E09114D9A7DEFDEADFC9078EA544D2E401AEECC40BB9FBBF78FD87995A10A1C27CB7789B594BA7EFB5C4326A9FE59A070E136DB77175464ADCA417BE5DCE2F40D10A46A3A3943F26AB7FD9C0398FF8C76EE0A56826A8A88F1DBD + , DSA.params_q = 0x996F967F6C8E388D9E28D01E205FBA957A5698B1 + } + +rfc6979Params2048 = + DSA.Params + { DSA.params_p = + 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params_g = + 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params_q = + 0xF2C3119374CE76C9356990B465374A17F23F9ED35089BD969F61C6DDE9998C1F + } + +vectorToPrivate :: VectorDSA -> DSA.PrivateKey +vectorToPrivate vector = + DSA.PrivateKey + { DSA.private_x = x vector + , DSA.private_params = pgq vector + } + +vectorToPublic :: VectorDSA -> DSA.PublicKey +vectorToPublic vector = + DSA.PublicKey + { DSA.public_y = y vector + , DSA.public_params = pgq vector + } + +doSignatureTest hashAlg i vector = it (show i) (actual `shouldBe` expected) + where + expected = Just $ DSA.Signature (r vector) (s vector) + actual = DSA.signWith (k vector) (vectorToPrivate vector) hashAlg (msg vector) + +doVerifyTest hashAlg i vector = it (show i) (actual `shouldBe` True) + where + actual = + DSA.verify + hashAlg + (vectorToPublic vector) + (DSA.Signature (r vector) (s vector)) + (msg vector) + +-- | Both sign and verify invert a value modulo q with 'fromJust'. The +-- inverse does not exist when the value shares a factor with q, and neither +-- path rules that out: signWith takes k from the caller, and verify takes both +-- the signature and the parameters from whoever supplied the public key, so a +-- composite q admits an s that is not invertible. Each has a way to say no -- +-- signWith returns Maybe, verify returns Bool -- so neither should raise. +nonInvertibleTests :: Spec +nonInvertibleTests = + describe "non-invertible values" $ do + it "signWith with k = 0 returns Nothing" $ + DSA.signWith 0 priv SHA1 message `shouldBe` Nothing + it "signWith with k = q returns Nothing" $ + DSA.signWith q priv SHA1 message `shouldBe` Nothing + it "signWith with k sharing a factor with q returns Nothing" $ + DSA.signWith 3 compositePriv SHA1 message `shouldBe` Nothing + it "signWith with a usable k still signs" $ + DSA.signWith 4 priv SHA1 message `shouldSatisfy` isJust + it "verify with a non-invertible s returns False" $ + DSA.verify SHA1 compositePub (DSA.Signature 1 3) message `shouldBe` False + where + message = "message" :: ByteString + q = 11 + params = DSA.Params{DSA.params_p = 23, DSA.params_g = 4, DSA.params_q = q} + priv = DSA.PrivateKey params 3 + -- q = 9 is composite, so 3 has no inverse modulo q + compositeParams = DSA.Params{DSA.params_p = 23, DSA.params_g = 4, DSA.params_q = 9} + compositePriv = DSA.PrivateKey compositeParams 3 + compositePub = DSA.PublicKey compositeParams 4 + +spec :: Spec +spec = do + describe "SHA1" $ do + describe "signature" $ zipWithM_ (doSignatureTest SHA1) [katZero ..] vectorsSHA1 + describe "verify" $ zipWithM_ (doVerifyTest SHA1) [katZero ..] vectorsSHA1 + describe "SHA224" $ do + describe "signature" $ + sequence_ $ + zipWith (doSignatureTest SHA224) [katZero ..] vectorsSHA224 + describe "verify" $ zipWithM_ (doVerifyTest SHA224) [katZero ..] vectorsSHA224 + describe "SHA256" $ do + describe "signature" $ + sequence_ $ + zipWith (doSignatureTest SHA256) [katZero ..] vectorsSHA256 + describe "verify" $ zipWithM_ (doVerifyTest SHA256) [katZero ..] vectorsSHA256 + describe "SHA384" $ do + describe "signature" $ + sequence_ $ + zipWith (doSignatureTest SHA384) [katZero ..] vectorsSHA384 + describe "verify" $ zipWithM_ (doVerifyTest SHA384) [katZero ..] vectorsSHA384 + describe "SHA512" $ do + describe "signature" $ + sequence_ $ + zipWith (doSignatureTest SHA512) [katZero ..] vectorsSHA512 + describe "verify" $ zipWithM_ (doVerifyTest SHA512) [katZero ..] vectorsSHA512 + nonInvertibleTests diff --git a/tests/PubKey/ECCSpec.hs b/tests/PubKey/ECCSpec.hs new file mode 100644 --- /dev/null +++ b/tests/PubKey/ECCSpec.hs @@ -0,0 +1,466 @@ +-- The binary curves are deprecated and still supported, so the tests +-- that hold them to their behaviour name them on purpose. +{-# OPTIONS_GHC -Wno-deprecations #-} +{-# LANGUAGE OverloadedStrings #-} + +module PubKey.ECCSpec (spec) where + +import Crypto.Error (CryptoError (..), CryptoFailable (..)) +import Crypto.Number.Basic (numBits) +import Crypto.Number.F2m (squareF2m) +import qualified Crypto.PubKey.ECC.DH as ECDH +import qualified Crypto.PubKey.ECC.Prim as ECC +import qualified Crypto.PubKey.ECC.Types as ECC +import Data.Bits (testBit) + +import Imports + +instance Arbitrary ECC.Curve where + arbitrary = + ECC.getCurveByName + <$> elements + [ ECC.SEC_p112r1 + , ECC.SEC_p112r2 + , ECC.SEC_p128r1 + , ECC.SEC_p128r2 + , ECC.SEC_p160k1 + , ECC.SEC_p160r1 + , ECC.SEC_p160r2 + , ECC.SEC_p192k1 + , ECC.SEC_p192r1 + , ECC.SEC_p224k1 + , ECC.SEC_p224r1 + , ECC.SEC_p256k1 + , ECC.SEC_p256r1 + , ECC.SEC_p384r1 + , ECC.SEC_p521r1 + , ECC.SEC_t113r1 + , ECC.SEC_t113r2 + , ECC.SEC_t131r1 + , ECC.SEC_t131r2 + , ECC.SEC_t163k1 + , ECC.SEC_t163r1 + , ECC.SEC_t163r2 + , ECC.SEC_t193r1 + , ECC.SEC_t193r2 + , ECC.SEC_t233k1 + , ECC.SEC_t233r1 + , ECC.SEC_t239k1 + , ECC.SEC_t283k1 + , ECC.SEC_t283r1 + , ECC.SEC_t409k1 + , ECC.SEC_t409r1 + , ECC.SEC_t571k1 + , ECC.SEC_t571r1 + ] + +data VectorPoint = VectorPoint + { curve :: ECC.Curve + , x :: Integer + , y :: Integer + , valid :: Bool + } + +vectorsPoint :: [VectorPoint] +vectorsPoint = + [ VectorPoint + { curve = ECC.getCurveByName ECC.SEC_p192r1 + , x = 0x491c0c4761b0a4a147b5e4ce03a531546644f5d1e3d05e57 + , y = 0x6fa5addd47c5d6be3933fbff88f57a6c8ca0232c471965de + , valid = False -- point not on curve + } + , VectorPoint + { curve = ECC.getCurveByName ECC.SEC_p192r1 + , x = 0x646c22e8aa5f7833390e0399155ac198ae42470bba4fc834 + , y = 0x8d4afcfffd80e69a4d180178b37c44572495b7b267ee32a9 + , valid = True + } + , VectorPoint + { curve = ECC.getCurveByName ECC.SEC_p192r1 + , x = 0x4c6b9ea0dec92ecfff7799470be6a2277b9169daf45d54bb + , y = 0xf0eab42826704f51b26ae98036e83230becb639dd1964627 + , valid = False -- point not on curve + } + , VectorPoint + { curve = ECC.getCurveByName ECC.SEC_p192r1 + , x = 0x0673c8bb717b055c3d6f55c06acfcfb7260361ed3ec0f414 + , y = 0xba8b172826eb0b854026968d2338a180450a27906f6eddea + , valid = True + } + , VectorPoint + { curve = ECC.getCurveByName ECC.SEC_p192r1 + , x = 0x82c949295156192df0b52480e38c810751ac570daec460a3 + , y = 0x200057ada615c80b8ff256ce8d47f2562b74a438f1921ac3 + , valid = False -- point not on curve + } + , VectorPoint + { curve = ECC.getCurveByName ECC.SEC_p192r1 + , x = 0x284fbaa76ce0faae2ca4867d01092fa1ace5724cd12c8dd0 + , y = 0xe42af3dbf3206be3fcbcc3a7ccaf60c73dc29e7bb9b44fca + , valid = True + } + , VectorPoint + { curve = ECC.getCurveByName ECC.SEC_p192r1 + , x = 0x1b574acd4fb0f60dde3e3b5f3f0e94211f95112e43cba6fd2 + , y = 0xbcc1b8a770f01a22e84d7f14e44932ffe094d8e3b1e6ac26 + , valid = False -- x or y out of range + } + , VectorPoint + { curve = ECC.getCurveByName ECC.SEC_p192r1 + , x = 0x16ba109f1f1bb44e0d05b80181c03412ea764a59601d17e9f + , y = 0x0569a843dbb4e287db420d6b9fe30cd7b5d578b052315f56 + , valid = False -- x or y out of range + } + , VectorPoint + { curve = ECC.getCurveByName ECC.SEC_p192r1 + , x = 0x1333308a7c833ede5189d25ea3525919c9bd16370d904938d + , y = 0xb10fd01d67df75ff9b726c700c1b50596c9f0766ea56f80e + , valid = False -- x or y out of range + } + , VectorPoint + { curve = ECC.getCurveByName ECC.SEC_p192r1 + , x = 0x9671ec444cff24c8a5be80b018fa505ed6109a731e88c91a + , y = 0xfe79dae23008e46bf4230c895aab261a95845a77f06d0655 + , valid = True + } + , VectorPoint + { curve = ECC.getCurveByName ECC.SEC_p192r1 + , x = 0x158e8b6f0b14216bc52fe8897b4305d870ede70436a96741d + , y = 0xfb3f970b19a313571a1a23be310923f85acc1cab0a157cbd + , valid = False -- x or y out of range + } + , VectorPoint + { curve = ECC.getCurveByName ECC.SEC_p192r1 + , x = 0xace95b650c08f73dbb4fa7b4bbdebd6b809a25b28ed135ef + , y = 0xe9b8679404166d1329dd539ad52aad9a1b6681f5f26bb9aa + , valid = False -- point not on curve + } + ] + +doPointValidTest :: Show a => a -> VectorPoint -> Spec +doPointValidTest i vector = + it + (show i) + ( ECC.isPointValid (curve vector) (ECC.Point (x vector) (y vector)) + `shouldBe` valid vector + ) + +arbitraryPoint :: ECC.Curve -> Gen ECC.Point +arbitraryPoint aCurve = + frequency [(5, return ECC.PointO), (95, pointGen)] + where + n = ECC.ecc_n (ECC.common_curve aCurve) + pointGen = ECC.pointBaseMul aCurve <$> choose (1, n - 1) + +-- | P-256 is the one curve here with a C implementation, and multiplication +-- on it is about to be routed to that. The properties below cover scalars +-- QuickCheck draws; these are the values at the edges of what a +-- multiplication has to answer for, and the shapes that signature +-- verification uses. +p256Tests :: Spec +p256Tests = + describe "P-256" $ do + it "the whole order takes a point to infinity" $ + ECC.pointMul p256curve order g `shouldBe` ECC.PointO + it "one past the order is one" $ + ECC.pointMul p256curve (order + 1) g `shouldBe` g + it "a negative scalar is the negation of the positive one" $ do + ECC.pointMul p256curve (-1) g `shouldBe` ECC.pointNegate p256curve g + ECC.pointMul p256curve (-7) g + `shouldBe` ECC.pointNegate p256curve (ECC.pointMul p256curve 7 g) + it "a scalar past the order wraps" $ + ECC.pointMul p256curve (3 * order + 11) g `shouldBe` ECC.pointMul p256curve 11 g + it "a scalar wraps on either side of what 256 bits hold" $ do + -- the order is under 2^256 and twice it is over, so these are the + -- values around the boundary of a fixed-width reduction + ECC.pointMul p256curve (order - 1) g + `shouldBe` ECC.pointNegate p256curve g + ECC.pointMul p256curve (2 ^ (256 :: Int) - 1) g + `shouldBe` ECC.pointMul p256curve ((2 ^ (256 :: Int) - 1) `mod` order) g + ECC.pointMul p256curve (2 ^ (256 :: Int)) g + `shouldBe` ECC.pointMul p256curve (2 ^ (256 :: Int) `mod` order) g + ECC.pointMul p256curve (2 * order) g `shouldBe` ECC.PointO + ECC.pointMul p256curve (2 * order + 3) g `shouldBe` ECC.pointMul p256curve 3 g + it "zero and the point at infinity give infinity" $ do + ECC.pointMul p256curve 0 g `shouldBe` ECC.PointO + ECC.pointMul p256curve 5 ECC.PointO `shouldBe` ECC.PointO + it "multiplying a point that is not on the p256curve is unchanged" $ + -- the C implementation has no answer for these, so they stay with + -- the generic code; this pins what that answers + ECC.pointMul p256curve 5 offCurve + `shouldBe` ECC.pointMul p256curve 5 offCurve + it "the arithmetic modulo the order is the plain one" $ do + -- the C implementation takes 256 bits and the order is under + -- that, so these cross both the reduction and the fallback + let pairs = + [ (0, 0) + , (0, 7) + , (1, order - 1) + , (order - 1, order - 1) + , (order, order) + , (order + 1, 2) + , (2 ^ (256 :: Int) - 1, 2 ^ (256 :: Int) - 1) + , (2 ^ (256 :: Int), 3) + , (2 ^ (300 :: Int) + 5, 2 ^ (256 :: Int) + 9) + , (-3, 5) + , (3, -5) + ] + [ (a, b) + | (a, b) <- pairs + , ECC.scalarAdd p256curve a b /= (a + b) `mod` order + || ECC.scalarMul p256curve a b /= (a * b) `mod` order + ] + `shouldBe` [] + it "two muls is the sum of the muls, base point either side" $ do + ECC.pointAddTwoMuls p256curve 3 g 5 q + `shouldBe` ECC.pointAdd + p256curve + (ECC.pointMul p256curve 3 g) + (ECC.pointMul p256curve 5 q) + ECC.pointAddTwoMuls p256curve 5 q 3 g + `shouldBe` ECC.pointAdd + p256curve + (ECC.pointMul p256curve 5 q) + (ECC.pointMul p256curve 3 g) + ECC.pointAddTwoMuls p256curve order g 5 q `shouldBe` ECC.pointMul p256curve 5 q + where + p256curve = ECC.getCurveByName ECC.SEC_p256r1 + order = ECC.ecc_n (ECC.common_curve p256curve) + g = ECC.ecc_g (ECC.common_curve p256curve) + q = ECC.pointMul p256curve 0x2a3f1c9e g + offCurve = ECC.Point 1 1 + +-- | Multiplication the long way, out of the affine addition and doubling, +-- for the fast one to be held to. +doubleAndAdd :: ECC.Curve -> Integer -> ECC.Point -> ECC.Point +doubleAndAdd c k q = go (numBits k - 1) ECC.PointO + where + go i acc + | i < 0 = acc + | testBit k i = go (i - 1) (ECC.pointAdd c (ECC.pointDouble c acc) q) + | otherwise = go (i - 1) (ECC.pointDouble c acc) + +-- | A scalar multiplication over a prime field walks the bits of the scalar, +-- and what it does at a bit that is set differs from what it does at one that +-- is not. These are the scalars where that difference is starkest -- one bit +-- set, every bit set, alternating bits -- and what they pin is that all of +-- them still come out right. +weightTests :: Spec +weightTests = describe "scalars of every weight" $ do + check "P-384" ECC.SEC_p384r1 + check "P-521" ECC.SEC_p521r1 + where + check name curveName = describe name $ do + it "answers the same for a point that is not the base one" $ + -- the base point has a table of its own, and everything else + -- goes the long way round; both have to come out the same + [ k + | k <- [1, 2, 3, 15, 16, 17, n - 1, n, n + 1] + , ECC.pointMul c k other /= doubleAndAdd c k other + ] + `shouldBe` [] + it "adding two scalars is adding their multiples" $ + [ (a, b) + | (a, b) <- pairs + , ECC.pointMul c (a + b) g + /= ECC.pointAdd c (ECC.pointMul c a g) (ECC.pointMul c b g) + ] + `shouldBe` [] + where + c = ECC.getCurveByName curveName + n = ECC.ecc_n (ECC.common_curve c) + g = ECC.ecc_g (ECC.common_curve c) + other = ECC.pointMul c 5 g + bits = numBits n + ones k = 2 ^ k - 1 + alternating k = sum [2 ^ i | i <- [0, 2 .. k]] + pairs = + [ (1, 1) + , (2 ^ (bits - 2), 1) + , (ones (bits - 2), 1) + , (alternating (bits - 2), 3) + , (ones (bits - 2), alternating (bits - 2)) + , (n - 1, n - 1) + , -- twice the width of the order and more, which is what + -- recovering a public key hands to a multiplication + (n * n, 3) + , (n * n * n, alternating (bits - 2)) + ] + +-- | The curves over a binary field, whose multiplication is its own. The +-- point with no x is on every one of them -- y^2 = b has a root, since +-- squaring is a bijection there -- and it is its own negation, so doubling it +-- reaches infinity, which is the shape a multiplication is most likely to get +-- wrong. +binaryTests :: Spec +binaryTests = describe "binary curves" $ mapM_ check names + where + names = [ECC.SEC_t113r1, ECC.SEC_t163k1, ECC.SEC_t233r1, ECC.SEC_t283k1] + check name = describe (show name) $ do + it "agrees with a double-and-add at the edges" $ + [k | k <- scalars, ECC.pointMul c k g /= doubleAndAdd c k g] + `shouldBe` [] + it "answers for the point of order two" $ do + ECC.isPointValid c two `shouldBe` True + ECC.pointMul c 1 two `shouldBe` two + ECC.pointMul c 2 two `shouldBe` ECC.PointO + ECC.pointMul c 3 two `shouldBe` two + ECC.pointMul c (2 * order) two `shouldBe` ECC.PointO + it "agrees with a double-and-add from the point of order two" $ + [k | k <- take 6 scalars, ECC.pointMul c k two /= doubleAndAdd c k two] + `shouldBe` [] + where + c = ECC.getCurveByName name + cc = ECC.common_curve c + order = ECC.ecc_n cc + g = ECC.ecc_g cc + fx = ECC.ecc_fx (case c of ECC.CurveF2m b -> b; _ -> error "not binary") + -- the square root of b, which squaring being a bijection provides + two = ECC.Point 0 (iterate (squareF2m fx) (ECC.ecc_b cc) !! (numBits fx - 2)) + scalars = + [ 1 + , 2 + , 3 + , 15 + , 16 + , 17 + , order - 1 + , order + , order + 1 + , 2 * order + 3 + , order * order + ] + +-- | Points that satisfy the curve equation but lie outside the subgroup the +-- base point generates. One exists on every curve whose cofactor is not one, +-- and multiplying such a point by our private number gives a result that +-- depends on that number only through its residue modulo a small order, so +-- the other party learns those bits by offering the point and watching what +-- comes back. An exchange has to refuse them. +-- +-- On a binary curve the point with no x serves: y^2 = b has a root, since +-- squaring is a bijection there, and the point is its own negation, so its +-- order is two. The two prime curves that have a cofactor are given by their +-- coordinates, found by walking x upwards until the curve equation has a root +-- and the point it names is outside the subgroup. +outOfSubgroup :: [(ECC.CurveName, ECC.Point)] +outOfSubgroup = + [(name, orderTwo name) | name <- binaryNames] + ++ [ (ECC.SEC_p112r2, ECC.Point 0x2 0xbe6aa4938ef7cfe6fe29595b6b00) + , (ECC.SEC_p128r2, ECC.Point 0x1 0xcc7215732e64bd2ed528938cd8ef7b63) + ] + where + binaryNames = + [ ECC.SEC_t113r1 + , ECC.SEC_t113r2 + , ECC.SEC_t131r1 + , ECC.SEC_t131r2 + , ECC.SEC_t163k1 + , ECC.SEC_t163r1 + , ECC.SEC_t163r2 + , ECC.SEC_t193r1 + , ECC.SEC_t193r2 + , ECC.SEC_t233k1 + , ECC.SEC_t233r1 + , ECC.SEC_t239k1 + , ECC.SEC_t283k1 + , ECC.SEC_t283r1 + , ECC.SEC_t409k1 + , ECC.SEC_t409r1 + , ECC.SEC_t571k1 + , ECC.SEC_t571r1 + ] + orderTwo name = + let c = ECC.getCurveByName name + cc = ECC.common_curve c + fx = case c of + ECC.CurveF2m bc -> ECC.ecc_fx bc + _ -> error "orderTwo: not a binary curve" + in ECC.Point 0 (iterate (squareF2m fx) (ECC.ecc_b cc) !! (numBits fx - 2)) + +subgroupTests :: Spec +subgroupTests = + describe "public points outside the prime-order subgroup" $ + mapM_ check outOfSubgroup + where + -- either side of even, and either side of a number that needs more than + -- one limb, since what leaks is the residue and nothing else + privateNumbers = [2, 3, 100, 101, 3141592653589793238, 3141592653589793239] + check (name, q) = describe (show name) $ do + it "the point is on the curve" $ + ECC.isPointValid c q `shouldBe` True + it "the base point does not generate it" $ + ECC.pointMul c (ECC.ecc_n (ECC.common_curve c)) q + `shouldNotBe` ECC.PointO + it "and an exchange refuses it, whatever the private number" $ + [ d + | d <- privateNumbers + , ECDH.tryGetShared c d q + /= CryptoFailed CryptoError_PointSubgroupInvalid + ] + `shouldBe` [] + it "while a point the base point does generate is still accepted" $ + [d | d <- privateNumbers, not (passed (ECDH.tryGetShared c d peer))] + `shouldBe` [] + where + c = ECC.getCurveByName name + cc = ECC.common_curve c + -- what the other party would actually send: a multiple of the base + -- point, and so inside the subgroup by construction + peer = ECC.pointMul c 7 (ECC.ecc_g cc) + passed (CryptoPassed _) = True + passed (CryptoFailed _) = False + +spec :: Spec +spec = do + describe "valid-point" $ zipWithM_ doPointValidTest [katZero ..] vectorsPoint + p256Tests + weightTests + binaryTests + subgroupTests + modifyMaxSuccess (const 20) $ + describe "property" $ do + prop "point-add" $ \aCurve (QAInteger r1) (QAInteger r2) -> + let curveN = ECC.ecc_n . ECC.common_curve $ aCurve + curveGen = ECC.ecc_g . ECC.common_curve $ aCurve + p1 = ECC.pointMul aCurve r1 curveGen + p2 = ECC.pointMul aCurve r2 curveGen + pR = ECC.pointMul aCurve ((r1 + r2) `mod` curveN) curveGen + in pR `propertyEq` ECC.pointAdd aCurve p1 p2 + prop "point-negate-add" $ \aCurve -> do + p <- arbitraryPoint aCurve + let o = ECC.pointAdd aCurve p (ECC.pointNegate aCurve p) + return $ ECC.PointO `propertyEq` o + prop "point-negate-negate" $ \aCurve -> do + p <- arbitraryPoint aCurve + return $ p `propertyEq` ECC.pointNegate aCurve (ECC.pointNegate aCurve p) + prop "point-mul-mul" $ \aCurve (QAInteger n1) (QAInteger n2) -> do + p <- arbitraryPoint aCurve + let pRes = ECC.pointMul aCurve (n1 * n2) p + let pDef = ECC.pointMul aCurve n1 (ECC.pointMul aCurve n2 p) + return $ pRes `propertyEq` pDef + prop "point-mul-matches-double-and-add" $ \aCurve (QAInteger k) -> + let n = ECC.ecc_n (ECC.common_curve aCurve) + g = ECC.ecc_g (ECC.common_curve aCurve) + k' = 1 + k `mod` (n - 1) + in ECC.pointMul aCurve k' g == doubleAndAdd aCurve k' g + prop "scalar-arithmetic" $ \aCurve (QAInteger n1) (QAInteger n2) -> + let n = ECC.ecc_n (ECC.common_curve aCurve) + in ECC.scalarAdd aCurve n1 n2 + == (n1 + n2) `mod` n + && ECC.scalarMul aCurve n1 n2 + == (n1 * n2) `mod` n + -- against the long way round, not against pointMul: what + -- pointAddTwoMuls does with the two multiplications is the thing + -- under test, so holding it to the same pointMul it calls would + -- pin nothing. + prop "double-scalar-mult" $ \aCurve (QAInteger n1) (QAInteger n2) -> do + p1 <- arbitraryPoint aCurve + p2 <- arbitraryPoint aCurve + let pRes = ECC.pointAddTwoMuls aCurve n1 p1 n2 p2 + let pDef = + ECC.pointAdd + aCurve + (doubleAndAdd aCurve n1 p1) + (doubleAndAdd aCurve n2 p2) + return $ pRes `propertyEq` pDef diff --git a/tests/PubKey/ECDSASpec.hs b/tests/PubKey/ECDSASpec.hs new file mode 100644 --- /dev/null +++ b/tests/PubKey/ECDSASpec.hs @@ -0,0 +1,1671 @@ +-- The binary curves are deprecated and still supported, so the tests +-- that hold them to their behaviour name them on purpose. +{-# OPTIONS_GHC -Wno-deprecations #-} +{-# LANGUAGE ExistentialQuantification #-} +{-# LANGUAGE OverloadedStrings #-} + +module PubKey.ECDSASpec (spec) where + +import Crypto.Hash +import Crypto.Number.Serialize +import Crypto.PubKey.ECC.ECDSA ( + PrivateKey (..), + PublicKey (..), + Signature (..), + deterministicNonce, + signWith, + verify, + ) +import Crypto.PubKey.ECC.Generate +import Crypto.PubKey.ECC.Types +import Data.ByteString (ByteString) +import qualified Data.ByteString as B +import Data.Maybe (isJust) +import Test.Hspec +import Text.Printf +import Utils (assertBool, assertFailure) + +-- existential type allows storing different hash algorithms in the same value +data HashAlg = forall hash. (Show hash, HashAlgorithm hash) => HashAlg hash +instance Show HashAlg where show (HashAlg alg) = show alg + +data Entry = Entry + { curveName :: CurveName + , privateNumber :: PrivateNumber + , publicPoint :: PublicPoint + , hashAlgorithm :: HashAlg + , message :: ByteString + , nonce :: Integer + , signature :: Signature + } +instance Show Entry where + show entry = + printf + "%s.%s.%s" + (show $ curveName entry) + (show $ B.take 8 $ message entry) + (show $ hashAlgorithm entry) + +normalize :: Entry -> Entry +normalize entry + | s <= n `div` 2 = entry + | otherwise = entry{signature = Signature r (n - s)} + where + Signature r s = signature entry + n = ecc_n $ common_curve $ getCurveByName $ curveName entry + +-- taken from GEC 2: Test Vectors for SEC 1 +gec2Entries :: [Entry] +gec2Entries = + [ Entry + { curveName = SEC_p160r1 + , privateNumber = 971761939728640320549601132085879836204587084162 + , publicPoint = + Point + 466448783855397898016055842232266600516272889280 + 1110706324081757720403272427311003102474457754220 + , hashAlgorithm = HashAlg SHA1 + , message = "abc" + , nonce = 702232148019446860144825009548118511996283736794 + , signature = + Signature + { sign_r = 1176954224688105769566774212902092897866168635793 + , sign_s = 299742580584132926933316745664091704165278518100 + } + } + , Entry + { curveName = SEC_t163k1 + , privateNumber = 0x00000011f2626d90d26cb4c0379043b26e64107fc + , publicPoint = + Point + 0x0389fa5ad7f8304325a8c060ef7dcb83042c045bc + 0x0eefa094a5054da196943cc80509dcb9f59e5bc2e + , hashAlgorithm = HashAlg SHA1 + , message = + i2osp + 0xa2c1a03fdd00521bb08fc88d20344321977aaf637ef9d5470dd7d2c8628fc8d0d1f1d3587c6b3fd02386f8c13db341b14748a9475cc63baf065df64054b27d5c2cdf0f98e3bbb81d0b5dc94f8cdb87acf75720f6163de394c8c6af360bc1acb85b923a493b7b27cc111a257e36337bd94eb0fab9d5e633befb1ae7f1b244bfaa + , nonce = 0x0000000c3a4ff97286126dab1e5089395fcc47ebb + , signature = + Signature + { sign_r = 0x0dbe6c3a1dc851e7f2338b5c26c62b4b37bf8035c + , sign_s = 0x1c76458135b1ff9fbd23009b8414a47996126b56a + } + } + , Entry + { curveName = SEC_t163k1 + , privateNumber = 0x00000006a3803301daee9af09bb5b6c991a4f49a4 + , publicPoint = + Point + 0x4b500f555e857da8c299780130c5c3f48f02ee322 + 0x5c1c0ae25b47f06cc46fb86b12d2d8c0ba6a4bf07 + , hashAlgorithm = HashAlg SHA1 + , message = + i2osp + 0x67048080daaeb77d3ac31babdf8be23dbe75ceb4dfb94aa8113db5c5dcb6fe14b70f717b7b0ed0881835a66a86e6d840ffcb7d976c75ef2d1d4322fbbc86357384e24707aef88cea2c41a01a9a3d1b9e72ce650c7fdecc4f9448d3a77df6cdf13647ab295bb3132de0b1b2c402d8d2de7d452f1e003e0695de1470d1064eee16 + , nonce = 0x0000002f39fbf77f3e0dc046116de692b6cf91b16 + , signature = + Signature + { sign_r = 0x3d3eeda42f65d727f4a564f1415654356c6c57a6c + , sign_s = 0x35e4d43c5f08baddf138449db1ad0b7872552b7cd + } + } + , Entry + { curveName = SEC_t163k1 + , privateNumber = 0x0000002e28676514bd93fea11b62db0f6e324b18d + , publicPoint = + Point + 0x3f9c90b71f6a1de20a2716f38ef1b5f98c757bd42 + 0x2ff0a5d266d447ef62d43fbca6c34c08c1ce35a40 + , hashAlgorithm = HashAlg SHA1 + , message = + i2osp + 0x77e007dc2acd7248256165a4b30e98986f51a81efd926b85f74c81bc2a6d2bcd030060a844091e22fbb0ff3db5a20caaefb5d58ccdcbc27f0ff8a4d940e78f303079ec1ca5b0ca3d4ecc7580f8b34a9f0496c9e719d2ec3e1614b7644bc11179e895d2c0b58a1da204fbf0f6e509f97f983eacb6487092caf6e8e4e6b3c458b2 + , nonce = 0x00000001233ae699883e74e7f4dfb5279ff22280a + , signature = + Signature + { sign_r = 0x39de3cd2cf04145e522b8fba3f23e9218226e0860 + , sign_s = 0x2af62bfb3cfa202e2342606ee5bb0934c3b0375b6 + } + } + , Entry + { curveName = SEC_t163k1 + , privateNumber = 0x000000361dd088e3a6d3c910686c8dce57e5d4d8e + , publicPoint = + Point + 0x064f905c1da9d7e9c32d81890ae6f30dcc7839d32 + 0x06f1faedb6d9032016d3b681e7cf69c29d29eb27b + , hashAlgorithm = HashAlg SHA1 + , message = + i2osp + 0xfbacfcce4688748406ddf5c3495021eef8fb399865b649eb2395a04a1ab28335da2c236d306fcc59f7b65ea931cf0139571e1538ede5688958c3ac69f47a285362f5ad201f89cc735b7b465408c2c41b310fc8908d0be45054df2a7351fae36b390e842f3b5cdd9ad832940df5b2d25c2ed43ce86eaf2508bcf401ae58bb1d47 + , nonce = 0x00000022f723e9f5da56d3d0837d5dca2f937395f + , signature = + Signature + { sign_r = 0x374cdc8571083fecfbd4e25e1cd69ecc66b715f2d + , sign_s = 0x313b10949222929b2f20b15d446c27d6dcae3f086 + } + } + ] + +data EntryCurve = EntryCurve + { ecName :: CurveName + , ecPrivate :: PrivateNumber + , ecPublic :: PublicPoint + , ecMessages :: [EntryMessage] + } +data EntryMessage = EntryMessage + { emMessage :: ByteString + , emHashes :: [EntryHash] + } +data EntryHash = EntryHash + { ehAlgorithm :: HashAlg + , ehK :: Integer + , ehR :: Integer + , ehS :: Integer + } + +flatten :: [EntryCurve] -> [Entry] +flatten hierarchy = do + entryCurve <- hierarchy + entryMessage <- ecMessages entryCurve + entryHash <- emHashes entryMessage + pure $ + Entry + { curveName = ecName entryCurve + , privateNumber = ecPrivate entryCurve + , publicPoint = ecPublic entryCurve + , hashAlgorithm = ehAlgorithm entryHash + , message = emMessage entryMessage + , nonce = ehK entryHash + , signature = Signature (ehR entryHash) (ehS entryHash) + } + +-- taken from RFC 6979 +rfc6979Entries :: [EntryCurve] +rfc6979Entries = + [ EntryCurve + { ecName = SEC_p192r1 + , ecPrivate = 0x6FAB034934E4C0FC9AE67F5B5659A9D7D1FEFD187EE09FD4 + , ecPublic = + Point + 0xAC2C77F529F91689FEA0EA5EFEC7F210D8EEA0B9E047ED56 + 0x3BC723E57670BD4887EBC732C523063D0A7C957BC97C1C43 + , ecMessages = + [ EntryMessage + { emMessage = "sample" + , emHashes = + [ EntryHash + { ehAlgorithm = HashAlg SHA1 + , ehK = 0x37D7CA00D2C7B0E5E412AC03BD44BA837FDD5B28CD3B0021 + , ehR = 0x98C6BD12B23EAF5E2A2045132086BE3EB8EBD62ABF6698FF + , ehS = 0x57A22B07DEA9530F8DE9471B1DC6624472E8E2844BC25B64 + } + , EntryHash + { ehAlgorithm = HashAlg SHA224 + , ehK = 0x4381526B3FC1E7128F202E194505592F01D5FF4C5AF015D8 + , ehR = 0xA1F00DAD97AEEC91C95585F36200C65F3C01812AA60378F5 + , ehS = 0xE07EC1304C7C6C9DEBBE980B9692668F81D4DE7922A0F97A + } + , EntryHash + { ehAlgorithm = HashAlg SHA256 + , ehK = 0x32B1B6D7D42A05CB449065727A84804FB1A3E34D8F261496 + , ehR = 0x4B0B8CE98A92866A2820E20AA6B75B56382E0F9BFD5ECB55 + , ehS = 0xCCDB006926EA9565CBADC840829D8C384E06DE1F1E381B85 + } + , EntryHash + { ehAlgorithm = HashAlg SHA384 + , ehK = 0x4730005C4FCB01834C063A7B6760096DBE284B8252EF4311 + , ehR = 0xDA63BF0B9ABCF948FBB1E9167F136145F7A20426DCC287D5 + , ehS = 0xC3AA2C960972BD7A2003A57E1C4C77F0578F8AE95E31EC5E + } + , EntryHash + { ehAlgorithm = HashAlg SHA512 + , ehK = 0xA2AC7AB055E4F20692D49209544C203A7D1F2C0BFBC75DB1 + , ehR = 0x4D60C5AB1996BD848343B31C00850205E2EA6922DAC2E4B8 + , ehS = 0x3F6E837448F027A1BF4B34E796E32A811CBB4050908D8F67 + } + ] + } + , EntryMessage + { emMessage = "test" + , emHashes = + [ EntryHash + { ehAlgorithm = HashAlg SHA1 + , ehK = 0xD9CF9C3D3297D3260773A1DA7418DB5537AB8DD93DE7FA25 + , ehR = 0x0F2141A0EBBC44D2E1AF90A50EBCFCE5E197B3B7D4DE036D + , ehS = 0xEB18BC9E1F3D7387500CB99CF5F7C157070A8961E38700B7 + } + , EntryHash + { ehAlgorithm = HashAlg SHA224 + , ehK = 0xF5DC805F76EF851800700CCE82E7B98D8911B7D510059FBE + , ehR = 0x6945A1C1D1B2206B8145548F633BB61CEF04891BAF26ED34 + , ehS = 0xB7FB7FDFC339C0B9BD61A9F5A8EAF9BE58FC5CBA2CB15293 + } + , EntryHash + { ehAlgorithm = HashAlg SHA256 + , ehK = 0x5C4CE89CF56D9E7C77C8585339B006B97B5F0680B4306C6C + , ehR = 0x3A718BD8B4926C3B52EE6BBE67EF79B18CB6EB62B1AD97AE + , ehS = 0x5662E6848A4A19B1F1AE2F72ACD4B8BBE50F1EAC65D9124F + } + , EntryHash + { ehAlgorithm = HashAlg SHA384 + , ehK = 0x5AFEFB5D3393261B828DB6C91FBC68C230727B030C975693 + , ehR = 0xB234B60B4DB75A733E19280A7A6034BD6B1EE88AF5332367 + , ehS = 0x7994090B2D59BB782BE57E74A44C9A1C700413F8ABEFE77A + } + , EntryHash + { ehAlgorithm = HashAlg SHA512 + , ehK = 0x0758753A5254759C7CFBAD2E2D9B0792EEE44136C9480527 + , ehR = 0xFE4F4AE86A58B6507946715934FE2D8FF9D95B6B098FE739 + , ehS = 0x74CF5605C98FBA0E1EF34D4B5A1577A7DCF59457CAE52290 + } + ] + } + ] + } + , EntryCurve + { ecName = SEC_p224r1 + , ecPrivate = 0xF220266E1105BFE3083E03EC7A3A654651F45E37167E88600BF257C1 + , ecPublic = + Point + 0x00CF08DA5AD719E42707FA431292DEA11244D64FC51610D94B130D6C + 0xEEAB6F3DEBE455E3DBF85416F7030CBD94F34F2D6F232C69F3C1385A + , ecMessages = + [ EntryMessage + { emMessage = "sample" + , emHashes = + [ EntryHash + { ehAlgorithm = HashAlg SHA1 + , ehK = 0x7EEFADD91110D8DE6C2C470831387C50D3357F7F4D477054B8B426BC + , ehR = 0x22226F9D40A96E19C4A301CE5B74B115303C0F3A4FD30FC257FB57AC + , ehS = 0x66D1CDD83E3AF75605DD6E2FEFF196D30AA7ED7A2EDF7AF475403D69 + } + , EntryHash + { ehAlgorithm = HashAlg SHA224 + , ehK = 0xC1D1F2F10881088301880506805FEB4825FE09ACB6816C36991AA06D + , ehR = 0x1CDFE6662DDE1E4A1EC4CDEDF6A1F5A2FB7FBD9145C12113E6ABFD3E + , ehS = 0xA6694FD7718A21053F225D3F46197CA699D45006C06F871808F43EBC + } + , EntryHash + { ehAlgorithm = HashAlg SHA256 + , ehK = 0xAD3029E0278F80643DE33917CE6908C70A8FF50A411F06E41DEDFCDC + , ehR = 0x61AA3DA010E8E8406C656BC477A7A7189895E7E840CDFE8FF42307BA + , ehS = 0xBC814050DAB5D23770879494F9E0A680DC1AF7161991BDE692B10101 + } + , EntryHash + { ehAlgorithm = HashAlg SHA384 + , ehK = 0x52B40F5A9D3D13040F494E83D3906C6079F29981035C7BD51E5CAC40 + , ehR = 0x0B115E5E36F0F9EC81F1325A5952878D745E19D7BB3EABFABA77E953 + , ehS = 0x830F34CCDFE826CCFDC81EB4129772E20E122348A2BBD889A1B1AF1D + } + , EntryHash + { ehAlgorithm = HashAlg SHA512 + , ehK = 0x9DB103FFEDEDF9CFDBA05184F925400C1653B8501BAB89CEA0FBEC14 + , ehR = 0x074BD1D979D5F32BF958DDC61E4FB4872ADCAFEB2256497CDAC30397 + , ehS = 0xA4CECA196C3D5A1FF31027B33185DC8EE43F288B21AB342E5D8EB084 + } + ] + } + , EntryMessage + { emMessage = "test" + , emHashes = + [ EntryHash + { ehAlgorithm = HashAlg SHA1 + , ehK = 0x2519178F82C3F0E4F87ED5883A4E114E5B7A6E374043D8EFD329C253 + , ehR = 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0x147D3EB0EDA9F2152DFD014363D6A9CE816D7A1467D326A625FC4AB0C786E1B74DDF7CD4D0E99541391B266C704BB6B6E8DCCD27B460802E0867143727AA415555454321EFE5CB6 + , ehS = + 0x17319571CAF533D90D2E78A64060B9C53169AB7FC908947B3EDADC54C79CCF0A7920B4C64A4EAB6282AFE9A459677CDA37FD6DD50BEF18709590FE18B923BDF74A66B189A850819 + } + , EntryHash + { ehAlgorithm = HashAlg SHA224 + , ehK = + 0x2EAFAD4AC8644DEB29095BBAA88D19F31316434F1766AD4423E0B54DD2FE0C05E307758581B0DAED2902683BBC7C47B00E63E3E429BA54EA6BA3AEC33A94C9A24A6EF8E27B7677A + , ehR = + 0x10F4B63E79B2E54E4F4F6A2DBC786D8F4A143ECA7B2AD97810F6472AC6AE20853222854553BE1D44A7974599DB7061AE8560DF57F2675BE5F9DD94ABAF3D47F1582B318E459748B + , ehS = + 0x3BBEA07C6B269C2B7FE9AE4DDB118338D0C2F0022920A7F9DCFCB7489594C03B536A9900C4EA6A10410007222D3DAE1A96F291C4C9275D75D98EB290DC0EEF176037B2C7A7A39A3 + } + , EntryHash + { ehAlgorithm = HashAlg SHA256 + , ehK = + 0x15C2C6B7D1A070274484774E558B69FDFA193BDB7A23F27C2CD24298CE1B22A6CC9B7FB8CABFD6CF7C6B1CF3251E5A1CDDD16FBFED28DE79935BB2C631B8B8EA9CC4BCC937E669E + , ehR = + 0x213EF9F3B0CFC4BF996B8AF3A7E1F6CACD2B87C8C63820000800AC787F17EC99C04BCEDF29A8413CFF83142BB88A50EF8D9A086AF4EB03E97C567500C21D865714D832E03C6D054 + , ehS = + 0x3D32322559B094E20D8935E250B6EC139AC4AAB77920812C119AF419FB62B332C8D226C6C9362AE3C1E4AABE19359B8428EA74EC8FBE83C8618C2BCCB6B43FBAA0F2CCB7D303945 + } + , EntryHash + { ehAlgorithm = HashAlg SHA384 + , ehK = + 0x0FEF0B68CB49453A4C6ECBF1708DBEEFC885C57FDAFB88417AAEFA5B1C35017B4B498507937ADCE2F1D9EFFA5FE8F5AEB116B804FD182A6CF1518FDB62D53F60A0FF6EB707D856B + , ehR = + 0x375D8F49C656A0BBD21D3F54CDA287D853C4BB1849983CD891EF6CD6BB56A62B687807C16685C2C9BCA2663C33696ACCE344C45F3910B1DF806204FF731ECB289C100EF4D1805EC + , ehS = + 0x1CDEC6F46DFEEE44BCE71D41C60550DC67CF98D6C91363625AC2553E4368D2DFB734A8E8C72E118A76ACDB0E58697940A0F3DF49E72894BD799450FC9E550CC04B9FF9B0380021C + } + , EntryHash + { ehAlgorithm = HashAlg SHA512 + , ehK = + 0x3FF373833A06C791D7AD586AFA3990F6EF76999C35246C4AD0D519BFF180CA1880E11F2FB38B764854A0AE3BECDDB50F05AC4FCEE542F207C0A6229E2E19652F0E647B9C4882193 + , ehR = + 0x1C26F40D940A7EAA0EB1E62991028057D91FEDA0366B606F6C434C361F04E545A6A51A435E26416F6838FFA260C617E798E946B57215284182BE55F29A355E6024FE32A47289CF0 + , ehS = + 0x3691DE4369D921FE94EDDA67CB71FBBEC9A436787478063EB1CC778B3DCDC1C4162662752D28DEEDF6F32A269C82D1DB80C87CE4D3B662E03AC347806E3F19D18D6D4DE7358DF7E + } + ] + } + , EntryMessage + { emMessage = "test" + , emHashes = + [ EntryHash + { ehAlgorithm = HashAlg SHA1 + , ehK = + 0x019B506FD472675A7140E429AA5510DCDDC21004206EEC1B39B28A688A8FD324138F12503A4EFB64F934840DFBA2B4797CFC18B8BD0B31BBFF3CA66A4339E4EF9D771B15279D1DC + , ehR = + 0x133F5414F2A9BC41466D339B79376038A64D045E5B0F792A98E5A7AA87E0AD016419E5F8D176007D5C9C10B5FD9E2E0AB8331B195797C0358BA05ECBF24ACE59C5F368A6C0997CC + , ehS = + 0x3D16743AE9F00F0B1A500F738719C5582550FEB64689DA241665C4CE4F328BA0E34A7EF527ED13BFA5889FD2D1D214C11EB17D6BC338E05A56F41CAFF1AF7B8D574DB62EF0D0F21 + } + , EntryHash + { ehAlgorithm = HashAlg SHA224 + , ehK = + 0x333C711F8C62F205F926593220233B06228285261D34026232F6F729620C6DE12220F282F4206D223226705608688B20B8BA86D8DFE54F07A37EC48F253283AC33C3F5102C8CC3E + , ehR = + 0x3048E76506C5C43D92B2E33F62B33E3111CEEB87F6C7DF7C7C01E3CDA28FA5E8BE04B5B23AA03C0C70FEF8F723CBCEBFF0B7A52A3F5C8B84B741B4F6157E69A5FB0524B48F31828 + , ehS = + 0x2C99078CCFE5C82102B8D006E3703E020C46C87C75163A2CD839C885550BA5CB501AC282D29A1C26D26773B60FBE05AAB62BFA0BA32127563D42F7669C97784C8897C22CFB4B8FA + } + , EntryHash + { ehAlgorithm = HashAlg SHA256 + , ehK = + 0x328E02CF07C7B5B6D3749D8302F1AE5BFAA8F239398459AF4A2C859C7727A8123A7FE9BE8B228413FC8DC0E9DE16AF3F8F43005107F9989A5D97A5C4455DA895E81336710A3FB2C + , ehR = + 0x184BC808506E11A65D628B457FDA60952803C604CC7181B59BD25AEE1411A66D12A777F3A0DC99E1190C58D0037807A95E5080FA1B2E5CCAA37B50D401CFFC3417C005AEE963469 + , ehS = + 0x27280D45F81B19334DBDB07B7E63FE8F39AC7E9AE14DE1D2A6884D2101850289D70EE400F26ACA5E7D73F534A14568478E59D00594981ABE6A1BA18554C13EB5E03921E4DC98333 + } + , EntryHash + { ehAlgorithm = HashAlg SHA384 + , ehK = + 0x2A77E29EAD9E811A9FDA0284C14CDFA1D9F8FA712DA59D530A06CDE54187E250AD1D4FB5788161938B8DE049616399C5A56B0737C9564C9D4D845A4C6A7CDFCBFF0F01A82BE672E + , ehR = + 0x319EE57912E7B0FAA1FBB145B0505849A89C6DB1EC06EA20A6A7EDE072A6268AF6FD9C809C7E422A5F33C6C3326EAD7402467DF3272A1B2726C1C20975950F0F50D8324578F13EC + , ehS = + 0x2CF3EA27EADD0612DD2F96F46E89AB894B01A10DF985C5FC099CFFE0EA083EB44BE682B08BFE405DAD5F37D0A2C59015BA41027E24B99F8F75A70B6B7385BF39BBEA02513EB880C + } + , EntryHash + { ehAlgorithm = HashAlg SHA512 + , ehK = + 0x21CE6EE4A2C72C9F93BDB3B552F4A633B8C20C200F894F008643240184BE57BB282A1645E47FBBE131E899B4C61244EFC2486D88CDBD1DD4A65EBDD837019D02628D0DCD6ED8FB5 + , ehR = + 0x2AA1888EAB05F7B00B6A784C4F7081D2C833D50794D9FEAF6E22B8BE728A2A90BFCABDC803162020AA629718295A1489EE7ED0ECB8AAA197B9BDFC49D18DDD78FC85A48F9715544 + , ehS = + 0x0AA5371FE5CA671D6ED9665849C37F394FED85D51FEF72DA2B5F28EDFB2C6479CA63320C19596F5E1101988E2C619E302DD05112F47E8823040CE540CD3E90DCF41DBC461744EE9 + } + ] + } + ] + } + ] + +testPublic :: PrivateKey -> PublicPoint -> Spec +testPublic (PrivateKey curve key) pub = + it "public" $ + generateQ curve key `shouldBe` pub + +testNonce :: PrivateKey -> HashAlg -> ByteString -> Integer -> Spec +testNonce key (HashAlg alg) msg nonc = + it "nonce" $ + deterministicNonce alg key (hashWith alg msg) Just `shouldBe` nonc + +testSignature + :: PrivateKey -> HashAlg -> ByteString -> Integer -> Signature -> Spec +testSignature key (HashAlg alg) msg nonc sig = it "signature" $ + case signWith nonc key alg msg of + Nothing -> assertFailure "could not sign message" + Just result -> result `shouldBe` sig + +testVerify :: PublicKey -> HashAlg -> ByteString -> Signature -> Spec +testVerify pub (HashAlg alg) msg sig = + it "verify" $ + assertBool "signature verification failed" $ + verify alg pub sig msg + +testEntry :: Entry -> Spec +testEntry entry = describe (show entry) $ sequence_ tests + where + tests = + [ testPublic key $ publicPoint entry + , testSignature + key + (hashAlgorithm entry) + (message entry) + (nonce entry) + (signature entry) + , testVerify pub (hashAlgorithm entry) (message entry) (signature entry) + ] + pub = PublicKey curve $ publicPoint entry + key = PrivateKey curve $ privateNumber entry + curve = getCurveByName $ curveName entry + +testEntryNonce :: Entry -> Spec +testEntryNonce entry = describe (show entry) $ sequence_ tests + where + tests = + [ testPublic key $ publicPoint entry + , testNonce key (hashAlgorithm entry) (message entry) (nonce entry) + , testSignature + key + (hashAlgorithm entry) + (message entry) + (nonce entry) + (signature entry) + , testVerify pub (hashAlgorithm entry) (message entry) (signature entry) + ] + pub = PublicKey curve $ publicPoint entry + key = PrivateKey curve $ privateNumber entry + curve = getCurveByName $ curveName entry + +-- | Signing inverts k modulo the order of the curve. The inverse does not +-- exist for a k that is zero or the order itself, and on a curve whose order +-- is composite it does not exist for a k that shares a factor with it -- +-- signWith takes k and the curve from the caller, so it has to say no rather +-- than raise. The curve below is the textbook y^2 = x^3 + x + 1 over F23, +-- which has 28 points, with (3, 10) generating all of them. +nonInvertibleTests :: Spec +nonInvertibleTests = + describe "non-invertible values" $ do + it "signWith with k = 0 returns Nothing" $ + signWith 0 tinyKey SHA1 msg0 `shouldBe` Nothing + it "signWith with k = the order returns Nothing" $ + signWith 28 tinyKey SHA1 msg0 `shouldBe` Nothing + it "signWith with k sharing a factor with the order returns Nothing" $ + signWith 14 tinyKey SHA1 msg0 `shouldBe` Nothing + it "signWith with a usable k still signs" $ + signWith 5 tinyKey SHA1 msg0 `shouldSatisfy` isJust + where + msg0 = "message" :: ByteString + tinyCurve = + CurveFP $ + CurvePrime 23 $ + CurveCommon + { ecc_a = 1 + , ecc_b = 1 + , ecc_g = Point 3 10 + , ecc_n = 28 + , ecc_h = 1 + } + tinyKey = PrivateKey tinyCurve 5 + +spec :: Spec +spec = do + nonInvertibleTests + describe "GEC 2" $ sequence_ $ testEntry . normalize <$> gec2Entries + describe "RFC 6979" $ + sequence_ $ + testEntryNonce . normalize <$> flatten rfc6979Entries diff --git a/tests/PubKey/ElGamalSpec.hs b/tests/PubKey/ElGamalSpec.hs new file mode 100644 --- /dev/null +++ b/tests/PubKey/ElGamalSpec.hs @@ -0,0 +1,130 @@ +{-# LANGUAGE OverloadedStrings #-} + +module PubKey.ElGamalSpec (spec) where + +import Crypto.Error +import Crypto.Hash (SHA256 (..)) +import qualified Crypto.PubKey.DH as DH +import qualified Crypto.PubKey.ElGamal as ElGamal +import Crypto.Random (drgNewTest, withDRG) + +import Imports + +-- | The 1024-bit MODP group of RFC 2409 section 6.2, whose generator is 2. +p :: Integer +p = + 0xFFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7EDEE386BFB5A899FA5AE9F24117C4B1FE649286651ECE65381FFFFFFFFFFFFFFFF + +params :: DH.Params +params = DH.Params p 2 1024 + +priv :: DH.PrivateNumber +priv = DH.PrivateNumber 0x1f3b5d79a2c4e60813579bdf2468ace0 + +pub :: DH.PublicNumber +pub = ElGamal.generatePublic params priv + +message :: Integer +message = 0x48656c6c6f2c20456c47616d616c21 + +-- | A usable ephemeral value: within [1, p-2] and not reused elsewhere here. +ephemeral :: ElGamal.EphemeralKey +ephemeral = ElGamal.EphemeralKey 0x2c4e60813579bdf2468ace01f3b5d79a + +encryptionTests :: Spec +encryptionTests = describe "encryption" $ do + it "decrypts what it encrypts" $ + (ElGamal.encryptWith ephemeral params pub message >>= ElGamal.decrypt params priv) + `shouldBe` CryptoPassed message + it "refuses an ephemeral value of zero" $ + -- it would leave c2 equal to the message + ElGamal.encryptWith (ElGamal.EphemeralKey 0) params pub message + `shouldBe` CryptoFailed CryptoError_ParameterInvalid + it "refuses an ephemeral value at or above p-1" $ + ElGamal.encryptWith (ElGamal.EphemeralKey (p - 1)) params pub message + `shouldBe` CryptoFailed CryptoError_ParameterInvalid + it "refuses a peer public number generating a tiny subgroup" $ + mapM_ + ( \h -> + ElGamal.encryptWith ephemeral params (DH.PublicNumber h) message + `shouldBe` CryptoFailed CryptoError_ParameterInvalid + ) + [0, 1, p - 1, p] + it "refuses a message at or above the modulus" $ + -- it would come back reduced + ElGamal.encryptWith ephemeral params pub p + `shouldBe` CryptoFailed CryptoError_ParameterInvalid + it "refuses a negative message" $ + ElGamal.encryptWith ephemeral params pub (-1) + `shouldBe` CryptoFailed CryptoError_ParameterInvalid + +decryptionTests :: Spec +decryptionTests = describe "decryption" $ do + it "refuses a first component of zero rather than raising" $ + -- zero has no inverse modulo p + ElGamal.decrypt params priv (0, 1) + `shouldBe` CryptoFailed CryptoError_ParameterInvalid + it "refuses a first component at or above the modulus" $ + ElGamal.decrypt params priv (p, 1) + `shouldBe` CryptoFailed CryptoError_ParameterInvalid + it "refuses a second component out of range" $ + ElGamal.decrypt params priv (2, p) + `shouldBe` CryptoFailed CryptoError_ParameterInvalid + +signatureTests :: Spec +signatureTests = describe "signature" $ do + it "verifies what it signs" $ + case ElGamal.signWith k params priv SHA256 msg of + Nothing -> expectationFailure "expected a signature" + Just sig -> ElGamal.verify params pub SHA256 msg sig `shouldBe` True + it "refuses a k of zero" $ + ElGamal.signWith 0 params priv SHA256 msg `shouldBe` Nothing + it "refuses a negative k" $ + ElGamal.signWith (-1) params priv SHA256 msg `shouldBe` Nothing + it "refuses a k at or above p-1" $ + mapM_ + (\k' -> ElGamal.signWith k' params priv SHA256 msg `shouldBe` Nothing) + [p - 1, p, p + 1] + it "accepts the largest usable k" $ + -- p-2 and p-1 are consecutive, so they are coprime + case ElGamal.signWith (p - 2) params priv SHA256 msg of + Nothing -> expectationFailure "expected a signature" + Just sig -> ElGamal.verify params pub SHA256 msg sig `shouldBe` True + it "refuses a k sharing a factor with p-1" $ + -- p is an odd prime, so p-1 is even and no even k is coprime with it + mapM_ + (\k' -> ElGamal.signWith k' params priv SHA256 msg `shouldBe` Nothing) + [2, 4, p - 3] + it "rejects a signature over a different message" $ + case ElGamal.signWith k params priv SHA256 msg of + Nothing -> expectationFailure "expected a signature" + Just sig -> + ElGamal.verify params pub SHA256 ("other" :: ByteString) sig + `shouldBe` False + it "rejects a signature with r out of range" $ + ElGamal.verify params pub SHA256 msg (ElGamal.Signature 0 1) `shouldBe` False + -- 'sign' draws a blinder for the inversion of k, so it takes a path + -- 'signWith' does not: the inverse comes back from a different number + -- than the one wanted, times the blinder + it "verifies what it signs when it draws k itself" $ + mapM_ + ( \seed -> + let (sig, _) = + withDRG (drgNewTest seed) (ElGamal.sign params priv SHA256 msg) + in ElGamal.verify params pub SHA256 msg sig `shouldBe` True + ) + [ (1, 2, 3, 4, 5) + , (5, 4, 3, 2, 1) + , (0, 0, 0, 0, 1) + , (9, 8, 7, 6, 5) + , (0x1234, 0x5678, 0x9abc, 0xdef0, 0x2468) + ] + where + msg = "message" :: ByteString + k = 0x5d79a2c4e60813579bdf2468ace01f3b + +spec :: Spec +spec = do + encryptionTests + decryptionTests + signatureTests diff --git a/tests/PubKey/MGF1Spec.hs b/tests/PubKey/MGF1Spec.hs new file mode 100644 --- /dev/null +++ b/tests/PubKey/MGF1Spec.hs @@ -0,0 +1,36 @@ +{-# LANGUAGE OverloadedStrings #-} + +module PubKey.MGF1Spec (spec) where + +import Control.Monad (zipWithM_) +import Test.Hspec + +import Data.ByteString (ByteString) +import qualified Data.ByteString as B +import Data.ByteString.Char8 () + +import Crypto.Hash +import Crypto.PubKey.MaskGenFunction + +import Utils + +data VectorMgf = VectorMgf + { seed :: ByteString + , dbMask :: ByteString + } + +doMGFTest i vmgf = it (show i) (actual `shouldBe` dbMask vmgf) + where + actual = mgf1 SHA1 (seed vmgf) (B.length $ dbMask vmgf) + +vectorsMGF = + [ VectorMgf + { seed = + "\xdf\x1a\x89\x6f\x9d\x8b\xc8\x16\xd9\x7c\xd7\xa2\xc4\x3b\xad\x54\x6f\xbe\x8c\xfe" + , dbMask = + "\x66\xe4\x67\x2e\x83\x6a\xd1\x21\xba\x24\x4b\xed\x65\x76\xb8\x67\xd9\xa4\x47\xc2\x8a\x6e\x66\xa5\xb8\x7d\xee\x7f\xbc\x7e\x65\xaf\x50\x57\xf8\x6f\xae\x89\x84\xd9\xba\x7f\x96\x9a\xd6\xfe\x02\xa4\xd7\x5f\x74\x45\xfe\xfd\xd8\x5b\x6d\x3a\x47\x7c\x28\xd2\x4b\xa1\xe3\x75\x6f\x79\x2d\xd1\xdc\xe8\xca\x94\x44\x0e\xcb\x52\x79\xec\xd3\x18\x3a\x31\x1f\xc8\x97\x39\xa9\x66\x43\x13\x6e\x8b\x0f\x46\x5e\x87\xa4\x53\x5c\xd4\xc5\x9b\x10\x02\x8d" + } + ] + +spec :: Spec +spec = zipWithM_ doMGFTest [katZero ..] vectorsMGF diff --git a/tests/PubKey/OAEPSpec.hs b/tests/PubKey/OAEPSpec.hs new file mode 100644 --- /dev/null +++ b/tests/PubKey/OAEPSpec.hs @@ -0,0 +1,208 @@ +{-# LANGUAGE OverloadedStrings #-} + +module PubKey.OAEPSpec (spec) where + +import Crypto.Hash +import Crypto.Number.Serialize (i2ospOf_, os2ip) +import Crypto.PubKey.RSA +import qualified Crypto.PubKey.RSA.OAEP as OAEP +import Crypto.PubKey.RSA.Prim (dp, ep) + +import Data.Bits (xor) +import qualified Data.ByteString as B + +import Imports + +rsaKeyInt = + PrivateKey + { private_pub = + PublicKey + { public_n = + 0xbbf82f090682ce9c2338ac2b9da871f7368d07eed41043a440d6b6f07454f51fb8dfbaaf035c02ab61ea48ceeb6fcd4876ed520d60e1ec4619719d8a5b8b807fafb8e0a3dfc737723ee6b4b7d93a2584ee6a649d060953748834b2454598394ee0aab12d7b61a51f527a9a41f6c1687fe2537298ca2a8f5946f8e5fd091dbdcb + , public_e = 0x11 + , public_size = 128 + } + , private_d = + 0xa5dafc5341faf289c4b988db30c1cdf83f31251e0668b42784813801579641b29410b3c7998d6bc465745e5c392669d6870da2c082a939e37fdcb82ec93edac97ff3ad5950accfbc111c76f1a9529444e56aaf68c56c092cd38dc3bef5d20a939926ed4f74a13eddfbe1a1cecc4894af9428c2b7b8883fe4463a4bc85b1cb3c1 + , private_p = + 0xeecfae81b1b9b3c908810b10a1b5600199eb9f44aef4fda493b81a9e3d84f632124ef0236e5d1e3b7e28fae7aa040a2d5b252176459d1f397541ba2a58fb6599 + , private_q = + 0xc97fb1f027f453f6341233eaaad1d9353f6c42d08866b1d05a0f2035028b9d869840b41666b42e92ea0da3b43204b5cfce3352524d0416a5a441e700af461503 + , private_dP = + 0x54494ca63eba0337e4e24023fcd69a5aeb07dddc0183a4d0ac9b54b051f2b13ed9490975eab77414ff59c1f7692e9a2e202b38fc910a474174adc93c1f67c981 + , private_dQ = + 0x471e0290ff0af0750351b7f878864ca961adbd3a8a7e991c5c0556a94c3146a7f9803f8f6f8ae342e931fd8ae47a220d1b99a495849807fe39f9245a9836da3d + , private_qinv = + 0xb06c4fdabb6301198d265bdbae9423b380f271f73453885093077fcd39e2119fc98632154f5883b167a967bf402b4e9e2e0f9656e698ea3666edfb25798039f7 + } + +rsaKey1 = + PrivateKey + { private_pub = + PublicKey + { public_n = + 0xa8b3b284af8eb50b387034a860f146c4919f318763cd6c5598c8ae4811a1e0abc4c7e0b082d693a5e7fced675cf4668512772c0cbc64a742c6c630f533c8cc72f62ae833c40bf25842e984bb78bdbf97c0107d55bdb662f5c4e0fab9845cb5148ef7392dd3aaff93ae1e6b667bb3d4247616d4f5ba10d4cfd226de88d39f16fb + , public_e = 0x010001 + , public_size = 128 + } + , private_d = + 0x53339cfdb79fc8466a655c7316aca85c55fd8f6dd898fdaf119517ef4f52e8fd8e258df93fee180fa0e4ab29693cd83b152a553d4ac4d1812b8b9fa5af0e7f55fe7304df41570926f3311f15c4d65a732c483116ee3d3d2d0af3549ad9bf7cbfb78ad884f84d5beb04724dc7369b31def37d0cf539e9cfcdd3de653729ead5d1 + , private_p = + 0xd32737e7267ffe1341b2d5c0d150a81b586fb3132bed2f8d5262864a9cb9f30af38be448598d413a172efb802c21acf1c11c520c2f26a471dcad212eac7ca39d + , private_q = + 0xcc8853d1d54da630fac004f471f281c7b8982d8224a490edbeb33d3e3d5cc93c4765703d1dd791642f1f116a0dd852be2419b2af72bfe9a030e860b0288b5d77 + , private_dP = + 0x0e12bf1718e9cef5599ba1c3882fe8046a90874eefce8f2ccc20e4f2741fb0a33a3848aec9c9305fbecbd2d76819967d4671acc6431e4037968db37878e695c1 + , private_dQ = + 0x95297b0f95a2fa67d00707d609dfd4fc05c89dafc2ef6d6ea55bec771ea333734d9251e79082ecda866efef13c459e1a631386b7e354c899f5f112ca85d71583 + , private_qinv = + 0x4f456c502493bdc0ed2ab756a3a6ed4d67352a697d4216e93212b127a63d5411ce6fa98d5dbefd73263e3728142743818166ed7dd63687dd2a8ca1d2f4fbd8e1 + } + +data VectorOAEP = VectorOAEP + { seed :: ByteString + , message :: ByteString + , cipherText :: ByteString + } +vectorInt = + VectorOAEP + { message = "\xd4\x36\xe9\x95\x69\xfd\x32\xa7\xc8\xa0\x5b\xbc\x90\xd3\x2c\x49" + , seed = + "\xaa\xfd\x12\xf6\x59\xca\xe6\x34\x89\xb4\x79\xe5\x07\x6d\xde\xc2\xf0\x6c\xb5\x8f" + , cipherText = + "\x12\x53\xe0\x4d\xc0\xa5\x39\x7b\xb4\x4a\x7a\xb8\x7e\x9b\xf2\xa0\x39\xa3\x3d\x1e\x99\x6f\xc8\x2a\x94\xcc\xd3\x00\x74\xc9\x5d\xf7\x63\x72\x20\x17\x06\x9e\x52\x68\xda\x5d\x1c\x0b\x4f\x87\x2c\xf6\x53\xc1\x1d\xf8\x23\x14\xa6\x79\x68\xdf\xea\xe2\x8d\xef\x04\xbb\x6d\x84\xb1\xc3\x1d\x65\x4a\x19\x70\xe5\x78\x3b\xd6\xeb\x96\xa0\x24\xc2\xca\x2f\x4a\x90\xfe\x9f\x2e\xf5\xc9\xc1\x40\xe5\xbb\x48\xda\x95\x36\xad\x87\x00\xc8\x4f\xc9\x13\x0a\xde\xa7\x4e\x55\x8d\x51\xa7\x4d\xdf\x85\xd8\xb5\x0d\xe9\x68\x38\xd6\x06\x3e\x09\x55" + } + +vectorsKey1 = + [ VectorOAEP -- 1.1 + { message = + "\x66\x28\x19\x4e\x12\x07\x3d\xb0\x3b\xa9\x4c\xda\x9e\xf9\x53\x23\x97\xd5\x0d\xba\x79\xb9\x87\x00\x4a\xfe\xfe\x34" + , seed = + "\x18\xb7\x76\xea\x21\x06\x9d\x69\x77\x6a\x33\xe9\x6b\xad\x48\xe1\xdd\xa0\xa5\xef" + , cipherText = + "\x35\x4f\xe6\x7b\x4a\x12\x6d\x5d\x35\xfe\x36\xc7\x77\x79\x1a\x3f\x7b\xa1\x3d\xef\x48\x4e\x2d\x39\x08\xaf\xf7\x22\xfa\xd4\x68\xfb\x21\x69\x6d\xe9\x5d\x0b\xe9\x11\xc2\xd3\x17\x4f\x8a\xfc\xc2\x01\x03\x5f\x7b\x6d\x8e\x69\x40\x2d\xe5\x45\x16\x18\xc2\x1a\x53\x5f\xa9\xd7\xbf\xc5\xb8\xdd\x9f\xc2\x43\xf8\xcf\x92\x7d\xb3\x13\x22\xd6\xe8\x81\xea\xa9\x1a\x99\x61\x70\xe6\x57\xa0\x5a\x26\x64\x26\xd9\x8c\x88\x00\x3f\x84\x77\xc1\x22\x70\x94\xa0\xd9\xfa\x1e\x8c\x40\x24\x30\x9c\xe1\xec\xcc\xb5\x21\x00\x35\xd4\x7a\xc7\x2e\x8a" + } + , VectorOAEP -- 1.2 + { message = + "\x75\x0c\x40\x47\xf5\x47\xe8\xe4\x14\x11\x85\x65\x23\x29\x8a\xc9\xba\xe2\x45\xef\xaf\x13\x97\xfb\xe5\x6f\x9d\xd5" + , seed = + "\x0c\xc7\x42\xce\x4a\x9b\x7f\x32\xf9\x51\xbc\xb2\x51\xef\xd9\x25\xfe\x4f\xe3\x5f" + , cipherText = + "\x64\x0d\xb1\xac\xc5\x8e\x05\x68\xfe\x54\x07\xe5\xf9\xb7\x01\xdf\xf8\xc3\xc9\x1e\x71\x6c\x53\x6f\xc7\xfc\xec\x6c\xb5\xb7\x1c\x11\x65\x98\x8d\x4a\x27\x9e\x15\x77\xd7\x30\xfc\x7a\x29\x93\x2e\x3f\x00\xc8\x15\x15\x23\x6d\x8d\x8e\x31\x01\x7a\x7a\x09\xdf\x43\x52\xd9\x04\xcd\xeb\x79\xaa\x58\x3a\xdc\xc3\x1e\xa6\x98\xa4\xc0\x52\x83\xda\xba\x90\x89\xbe\x54\x91\xf6\x7c\x1a\x4e\xe4\x8d\xc7\x4b\xbb\xe6\x64\x3a\xef\x84\x66\x79\xb4\xcb\x39\x5a\x35\x2d\x5e\xd1\x15\x91\x2d\xf6\x96\xff\xe0\x70\x29\x32\x94\x6d\x71\x49\x2b\x44" + } + , VectorOAEP -- 1.3 + { message = + "\xd9\x4a\xe0\x83\x2e\x64\x45\xce\x42\x33\x1c\xb0\x6d\x53\x1a\x82\xb1\xdb\x4b\xaa\xd3\x0f\x74\x6d\xc9\x16\xdf\x24\xd4\xe3\xc2\x45\x1f\xff\x59\xa6\x42\x3e\xb0\xe1\xd0\x2d\x4f\xe6\x46\xcf\x69\x9d\xfd\x81\x8c\x6e\x97\xb0\x51" + , seed = + "\x25\x14\xdf\x46\x95\x75\x5a\x67\xb2\x88\xea\xf4\x90\x5c\x36\xee\xc6\x6f\xd2\xfd" + , cipherText = + "\x42\x37\x36\xed\x03\x5f\x60\x26\xaf\x27\x6c\x35\xc0\xb3\x74\x1b\x36\x5e\x5f\x76\xca\x09\x1b\x4e\x8c\x29\xe2\xf0\xbe\xfe\xe6\x03\x59\x5a\xa8\x32\x2d\x60\x2d\x2e\x62\x5e\x95\xeb\x81\xb2\xf1\xc9\x72\x4e\x82\x2e\xca\x76\xdb\x86\x18\xcf\x09\xc5\x34\x35\x03\xa4\x36\x08\x35\xb5\x90\x3b\xc6\x37\xe3\x87\x9f\xb0\x5e\x0e\xf3\x26\x85\xd5\xae\xc5\x06\x7c\xd7\xcc\x96\xfe\x4b\x26\x70\xb6\xea\xc3\x06\x6b\x1f\xcf\x56\x86\xb6\x85\x89\xaa\xfb\x7d\x62\x9b\x02\xd8\xf8\x62\x5c\xa3\x83\x36\x24\xd4\x80\x0f\xb0\x81\xb1\xcf\x94\xeb" + } + , VectorOAEP + { message = + "\x52\xe6\x50\xd9\x8e\x7f\x2a\x04\x8b\x4f\x86\x85\x21\x53\xb9\x7e\x01\xdd\x31\x6f\x34\x6a\x19\xf6\x7a\x85" + , seed = + "\xc4\x43\x5a\x3e\x1a\x18\xa6\x8b\x68\x20\x43\x62\x90\xa3\x7c\xef\xb8\x5d\xb3\xfb" + , cipherText = + "\x45\xea\xd4\xca\x55\x1e\x66\x2c\x98\x00\xf1\xac\xa8\x28\x3b\x05\x25\xe6\xab\xae\x30\xbe\x4b\x4a\xba\x76\x2f\xa4\x0f\xd3\xd3\x8e\x22\xab\xef\xc6\x97\x94\xf6\xeb\xbb\xc0\x5d\xdb\xb1\x12\x16\x24\x7d\x2f\x41\x2f\xd0\xfb\xa8\x7c\x6e\x3a\xcd\x88\x88\x13\x64\x6f\xd0\xe4\x8e\x78\x52\x04\xf9\xc3\xf7\x3d\x6d\x82\x39\x56\x27\x22\xdd\xdd\x87\x71\xfe\xc4\x8b\x83\xa3\x1e\xe6\xf5\x92\xc4\xcf\xd4\xbc\x88\x17\x4f\x3b\x13\xa1\x12\xaa\xe3\xb9\xf7\xb8\x0e\x0f\xc6\xf7\x25\x5b\xa8\x80\xdc\x7d\x80\x21\xe2\x2a\xd6\xa8\x5f\x07\x55" + } + , VectorOAEP + { message = + "\x8d\xa8\x9f\xd9\xe5\xf9\x74\xa2\x9f\xef\xfb\x46\x2b\x49\x18\x0f\x6c\xf9\xe8\x02" + , seed = + "\xb3\x18\xc4\x2d\xf3\xbe\x0f\x83\xfe\xa8\x23\xf5\xa7\xb4\x7e\xd5\xe4\x25\xa3\xb5" + , cipherText = + "\x36\xf6\xe3\x4d\x94\xa8\xd3\x4d\xaa\xcb\xa3\x3a\x21\x39\xd0\x0a\xd8\x5a\x93\x45\xa8\x60\x51\xe7\x30\x71\x62\x00\x56\xb9\x20\xe2\x19\x00\x58\x55\xa2\x13\xa0\xf2\x38\x97\xcd\xcd\x73\x1b\x45\x25\x7c\x77\x7f\xe9\x08\x20\x2b\xef\xdd\x0b\x58\x38\x6b\x12\x44\xea\x0c\xf5\x39\xa0\x5d\x5d\x10\x32\x9d\xa4\x4e\x13\x03\x0f\xd7\x60\xdc\xd6\x44\xcf\xef\x20\x94\xd1\x91\x0d\x3f\x43\x3e\x1c\x7c\x6d\xd1\x8b\xc1\xf2\xdf\x7f\x64\x3d\x66\x2f\xb9\xdd\x37\xea\xd9\x05\x91\x90\xf4\xfa\x66\xca\x39\xe8\x69\xc4\xeb\x44\x9c\xbd\xc4\x39" + } + , VectorOAEP -- 1.6 + { message = "\x26\x52\x10\x50\x84\x42\x71" + , seed = + "\xe4\xec\x09\x82\xc2\x33\x6f\x3a\x67\x7f\x6a\x35\x61\x74\xeb\x0c\xe8\x87\xab\xc2" + , cipherText = + "\x42\xce\xe2\x61\x7b\x1e\xce\xa4\xdb\x3f\x48\x29\x38\x6f\xbd\x61\xda\xfb\xf0\x38\xe1\x80\xd8\x37\xc9\x63\x66\xdf\x24\xc0\x97\xb4\xab\x0f\xac\x6b\xdf\x59\x0d\x82\x1c\x9f\x10\x64\x2e\x68\x1a\xd0\x5b\x8d\x78\xb3\x78\xc0\xf4\x6c\xe2\xfa\xd6\x3f\x74\xe0\xad\x3d\xf0\x6b\x07\x5d\x7e\xb5\xf5\x63\x6f\x8d\x40\x3b\x90\x59\xca\x76\x1b\x5c\x62\xbb\x52\xaa\x45\x00\x2e\xa7\x0b\xaa\xce\x08\xde\xd2\x43\xb9\xd8\xcb\xd6\x2a\x68\xad\xe2\x65\x83\x2b\x56\x56\x4e\x43\xa6\xfa\x42\xed\x19\x9a\x09\x97\x69\x74\x2d\xf1\x53\x9e\x82\x55" + } + ] + +doEncryptionTest key i vec = it (show i) (actual `shouldBe` Right (cipherText vec)) + where + actual = + OAEP.encryptWithSeed (seed vec) (OAEP.defaultOAEPParams SHA1) key (message vec) + +doDecryptionTest key i vec = it (show i) (actual `shouldBe` Right (message vec)) + where + actual = OAEP.decrypt Nothing (OAEP.defaultOAEPParams SHA1) key (cipherText vec) + +-- | EME-OAEP decoding rejects a block whose leading octet is not zero, whose +-- recovered label hash does not match, or which has no 01 separating the +-- padding from the message (RFC 8017 section 7.1.2). Reach those paths by +-- decrypting a known-good ciphertext to its encoded message, corrupting that, +-- and re-encrypting under the public key. +-- +-- Nothing exercised them before, and unpad is about to be rewritten, so pin +-- the behaviour down first. +oaepRejectTests :: Spec +oaepRejectTests = + describe "rejected blocks" $ do + it "the untouched block still decrypts" $ + decrypt' (reencrypt em) `shouldBe` Right (message vec) + rejects "a leading octet that is not 00" (poke 0 1 em) + rejects "a corrupted masked seed" (flipBit 3 em) + rejects "a corrupted masked db" (flipBit 60 em) + rejects "a corrupted final octet" (flipBit (B.length em - 1) em) + it "a ciphertext of the wrong length" $ + decrypt' (B.drop 1 (cipherText vec)) `shouldBe` Left MessageSizeIncorrect + where + key = rsaKey1 + vec = firstVector vectorsKey1 + em = dp Nothing key (cipherText vec) + reencrypt = ep (private_pub key) + decrypt' = OAEP.decrypt Nothing (OAEP.defaultOAEPParams SHA1) key + rejects name bad = + it name (decrypt' (reencrypt bad) `shouldBe` Left MessageNotRecognized) + poke i w bs = + B.concat [B.take i bs, B.singleton w, B.drop (i + 1) bs] + flipBit i bs = poke i (B.index bs i `xor` 1) bs + +-- | RSADP (RFC 8017 section 5.1.2 step 1) refuses a ciphertext representative +-- outside @[0, n-1]@, and section 7.1.2 step 1 passes the ciphertext to it +-- unchanged. The modular exponentiation normalises the range away, so without +-- the check @c@ and @c + n@ decrypt to the same message whenever @c + n@ still +-- fits in k octets. +oaepRangeTests :: Spec +oaepRangeTests = + describe "ciphertext range" $ do + it "the ciphertext itself decrypts" $ + decrypt' c `shouldBe` Right (message vec) + it "the same ciphertext plus n is refused" $ + decrypt' (i2ospOf_ k (os2ip c + modulus)) `shouldBe` Left MessageSizeIncorrect + it "a ciphertext representative equal to the modulus is refused" $ + decrypt' (i2ospOf_ k modulus) `shouldBe` Left MessageSizeIncorrect + where + key = rsaKey1 + k = public_size (private_pub key) + modulus = public_n (private_pub key) + decrypt' = OAEP.decrypt Nothing (OAEP.defaultOAEPParams SHA1) key + -- the first vector whose ciphertext can be shifted by n and still fit in k + -- octets + (vec, c) = + firstVector + [ (v, ct) + | v <- vectorsKey1 + , let ct = cipherText v + , os2ip ct + modulus < 2 ^ (8 * k) + ] + +spec :: Spec +spec = + describe "RSA-OAEP" $ do + describe "internal" $ do + doEncryptionTest (private_pub rsaKeyInt) (0 :: Int) vectorInt + doDecryptionTest rsaKeyInt (0 :: Int) vectorInt + describe "encryption key 1024 bits" $ + sequence_ $ + zipWith (doEncryptionTest $ private_pub rsaKey1) [katZero ..] vectorsKey1 + describe "decryption key 1024 bits" $ + sequence_ $ + zipWith (doDecryptionTest rsaKey1) [katZero ..] vectorsKey1 + oaepRejectTests + oaepRangeTests diff --git a/tests/PubKey/P256Spec.hs b/tests/PubKey/P256Spec.hs new file mode 100644 --- /dev/null +++ b/tests/PubKey/P256Spec.hs @@ -0,0 +1,332 @@ +{-# LANGUAGE OverloadedStrings #-} +{-# LANGUAGE ScopedTypeVariables #-} + +module PubKey.P256Spec (spec) where + +import qualified Crypto.PubKey.ECC.P256 as P256 +import qualified Crypto.PubKey.ECC.Prim as ECC +import qualified Crypto.PubKey.ECC.Types as ECC + +import Crypto.Error +import Crypto.Number.ModArithmetic (inverseCoprimes) +import Crypto.Number.Serialize (i2ospOf, os2ip) +import Data.ByteArray (Bytes) + +import Imports + +newtype P256Scalar = P256Scalar Integer + deriving (Show, Eq, Ord) + +instance Arbitrary P256Scalar where + -- Cover the full range up to 2^256-1 except 0 and curveN. To test edge + -- cases with arithmetic functions, some values close to 0, curveN and + -- 2^256 are given higher frequency. + arbitrary = + P256Scalar + <$> oneof + [ choose (1, w) + , choose (w + 1, curveN - w - 1) + , choose (curveN - w, curveN - 1) + , choose (curveN + 1, curveN + w) + , choose (curveN + w + 1, high - w - 1) + , choose (high - w, high - 1) + ] + where + high = 2 ^ (256 :: Int) + w = 100 + +curve = ECC.getCurveByName ECC.SEC_p256r1 +curveN = ECC.ecc_n . ECC.common_curve $ curve +curveGen = ECC.ecc_g . ECC.common_curve $ curve + +pointP256ToECC :: P256.Point -> ECC.Point +pointP256ToECC p + | P256.pointIsAtInfinity p = ECC.PointO + | otherwise = uncurry ECC.Point (P256.pointToIntegers p) + +i2ospScalar :: Integer -> Bytes +i2ospScalar i = + case i2ospOf 32 i of + Nothing -> error "invalid size of P256 scalar" + Just b -> b + +unP256Scalar :: P256Scalar -> P256.Scalar +unP256Scalar (P256Scalar r) = + let rBytes = i2ospScalar r + in case P256.scalarFromBinary rBytes of + CryptoFailed err -> error ("cannot convert scalar: " ++ show err) + CryptoPassed scalar -> scalar + +unP256 :: P256Scalar -> Integer +unP256 (P256Scalar r) = r + +modP256Scalar :: P256Scalar -> P256Scalar +modP256Scalar (P256Scalar r) = P256Scalar (r `mod` curveN) + +p256ScalarToInteger :: P256.Scalar -> Integer +p256ScalarToInteger s = os2ip (P256.scalarToBinary s :: Bytes) + +xS = 0xde2444bebc8d36e682edd27e0f271508617519b3221a8fa0b77cab3989da97c9 +yS = 0xc093ae7ff36e5380fc01a5aad1e66659702de80f53cec576b6350b243042a256 +xT = 0x55a8b00f8da1d44e62f6b3b25316212e39540dc861c89575bb8cf92e35e0986b +yT = 0x5421c3209c2d6c704835d82ac4c3dd90f61a8a52598b9e7ab656e9d8c8b24316 +xR = 0x72b13dd4354b6b81745195e98cc5ba6970349191ac476bd4553cf35a545a067e +yR = 0x8d585cbb2e1327d75241a8a122d7620dc33b13315aa5c9d46d013011744ac264 + +-- Two points on the curve whose validation reduces a product whose top +-- digit has a zero low half: x = 2^96, and an x with a repeating bit +-- pattern. Wycheproof ecdh_secp256r1_ecpoint tcId 74 and 93. +xU = 0x0000000000000000000000000000000000000001000000000000000000000000 +yU = 0x7d12de58d54423eb85ae8d157ae416fb004a7eb522ac1b67047ef3cdf9acdc3f +xV = 0x8000003ffffff0000007fffffe000000ffffffc000001ffffff8000003fffffc +yV = 0x0c3527bd081c1c07b313bc1a0c3f845fb2fe22557699ccc8f1354e61a27b7f88 + +validPointEdgeCases :: [(String, (Integer, Integer))] +validPointEdgeCases = + [ + ( "x-zero-1" + , (0, 0x66485c780e2f83d72433bd5d84a06bb6541c2af31dae871728bf856a174f93f4) + ) + , + ( "x-zero-2" + , (0, 0x99b7a386f1d07c29dbcc42a27b5f9449abe3d50de25178e8d7407a95e8b06c0b) + ) + , + ( "y-one-1" + , (0x09e78d4ef60d05f750f6636209092bc43cbdd6b47e11a9de20a9feb2a50bb96c, 1) + ) + , + ( "y-one-2" + , (0x8d0177ebab9c6e9e10db6dd095dbac0d6375e8a97b70f611875d877f0069d2c7, 1) + ) + , + ( "y-one-3" + , (0x6916fac45e568b6b9e2e2ecd611b282e5fcc40a3067d601057f879ce5a8a73cc, 1) + ) + ] + +spec :: Spec +spec = do + describe "scalar" $ do + prop "marshalling" $ \(QAInteger r) -> + let rBytes = i2ospScalar r + in case P256.scalarFromBinary rBytes of + CryptoFailed err -> error (show err) + CryptoPassed scalar -> rBytes `propertyEq` P256.scalarToBinary scalar + prop "add" $ \r1 r2 -> + let r = (unP256 r1 + unP256 r2) `mod` curveN + r' = P256.scalarAdd (unP256Scalar r1) (unP256Scalar r2) + in r `propertyEq` p256ScalarToInteger r' + prop "add0" $ \r -> + let v = unP256 r `mod` curveN + v' = P256.scalarAdd (unP256Scalar r) P256.scalarZero + in v `propertyEq` p256ScalarToInteger v' + prop "sub" $ \r1 r2 -> + let r = (unP256 r1 - unP256 r2) `mod` curveN + r' = P256.scalarSub (unP256Scalar r1) (unP256Scalar r2) + v = (unP256 r2 - unP256 r1) `mod` curveN + v' = P256.scalarSub (unP256Scalar r2) (unP256Scalar r1) + in propertyHold + [ eqTest "r1-r2" r (p256ScalarToInteger r') + , eqTest "r2-r1" v (p256ScalarToInteger v') + ] + prop "sub0" $ \r -> + let v = unP256 r `mod` curveN + v' = P256.scalarSub (unP256Scalar r) P256.scalarZero + in v `propertyEq` p256ScalarToInteger v' + prop "mul" $ \r1 r2 -> + let r = (unP256 r1 * unP256 r2) `mod` curveN + r' = P256.scalarMul (unP256Scalar r1) (unP256Scalar r2) + in r `propertyEq` p256ScalarToInteger r' + prop "inv" $ \r' -> + let inv = inverseCoprimes (unP256 r') curveN + inv' = P256.scalarInv (unP256Scalar r') + in unP256 r' /= 0 ==> inv `propertyEq` p256ScalarToInteger inv' + prop "inv-safe" $ \r' -> + let inv = P256.scalarInv (unP256Scalar r') + inv' = P256.scalarInvSafe (unP256Scalar r') + in unP256 r' /= 0 ==> inv `propertyEq` inv' + prop "inv-safe-mul" $ \r' -> + let inv = P256.scalarInvSafe (unP256Scalar r') + res = P256.scalarMul (unP256Scalar r') inv + in unP256 r' /= 0 ==> 1 `propertyEq` p256ScalarToInteger res + prop "inv-safe-zero" $ + let inv0 = P256.scalarInvSafe P256.scalarZero + invN = P256.scalarInvSafe P256.scalarN + in propertyHold + [ eqTest "scalarZero" P256.scalarZero inv0 + , eqTest "scalarN" P256.scalarZero invN + ] + -- The same two for the variable-time inverse, which is exported and + -- which scalarFromBinary will happily hand a zero. It used not to + -- return at all on that: in the binary extended Euclid below it, zero + -- stays even and is halved forever, and the loop's only exit is in + -- the branch both operands must be odd to reach. Not even + -- System.Timeout gets a program out of that, the hang being inside a + -- foreign call. The properties above step around it with a + -- precondition; this one walks into it. + prop "inv-zero" $ + let inv0 = P256.scalarInv P256.scalarZero + invN = P256.scalarInv P256.scalarN + in propertyHold + [ eqTest "scalarZero" P256.scalarZero inv0 + , eqTest "scalarN" P256.scalarZero invN + ] + describe "point" $ do + prop "marshalling" $ \rx ry -> + let p = P256.pointFromIntegers (unP256 rx, unP256 ry) + b = P256.pointToBinary p :: Bytes + p' = P256.unsafePointFromBinary b + in propertyHold [eqTest "point" (CryptoPassed p) p'] + prop "marshalling-integer" $ \rx ry -> + let p = P256.pointFromIntegers (unP256 rx, unP256 ry) + (x, y) = P256.pointToIntegers p + in propertyHold [eqTest "x" (unP256 rx) x, eqTest "y" (unP256 ry) y] + it "valid-point-1" $ casePointIsValid (xS, yS) + it "valid-point-2" $ casePointIsValid (xR, yR) + it "valid-point-3" $ casePointIsValid (xT, yT) + -- The quotient estimate in crypton_p256_modmul can exceed the + -- true quotient, and the resulting borrow used to abort the + -- process on an assertion inside the reduction rather than + -- being corrected. Both points below are on the curve. + it "valid-point-reduction-1" $ casePointIsValid (xU, yU) + it "valid-point-reduction-2" $ casePointIsValid (xV, yV) + describe "valid-point-edge-cases" $ + sequence_ $ + map (\(name, point) -> it name $ casePointIsValid point) validPointEdgeCases + it "point-add-1" $ + let s = P256.pointFromIntegers (xS, yS) + t = P256.pointFromIntegers (xT, yT) + r = P256.pointFromIntegers (xR, yR) + in P256.pointAdd s t `shouldBe` r + prop "point-add-infinity" casePointAddInfinity + prop "lift-to-curve" propertyLiftToCurve + prop "point-add" propertyPointAdd + prop "point-add-infinity-identity" propertyPointAddInfinityIdentity + prop "point-add-inverse" propertyPointAddInverse + prop "point-negate" propertyPointNegate + prop "point-mul" propertyPointMul + -- A signed window can reach the last addition with the accumulator + -- equal to the very point it is adding, which the formulas cannot + -- do: they answer the infinity where the truth is twice that point. + -- Which scalars do it depends on the window and on the order mod 64; + -- for the five-bit window here it is 30 alone, and the sweep that + -- found it covered every scalar below a million and every one within + -- a million of the order. The neighbours are here because they are + -- the family it came from. + describe "point-mul-small-scalars" $ + sequence_ + [ it (show k) (casePointMulSmall k) + | k <- [1 .. 70] ++ [2 ^ (32 :: Int), 2 ^ (64 :: Int)] + ] + prop "infinity" $ + let gN = P256.toPoint P256.scalarN + g1 = P256.pointBase + in propertyHold + [ eqTest "zero" True (P256.pointIsAtInfinity gN) + , eqTest "base" False (P256.pointIsAtInfinity g1) + ] + -- The variable-point multiplication is what the vendored assembly + -- replaces where there is any, so say out loud what the two ends of + -- the scalar range do on a point that is not the base one. + it "point-mul-order" $ + P256.pointIsAtInfinity (P256.pointMul P256.scalarN point7) + `shouldBe` True + it "point-mul-order-minus-one" $ + P256.pointMul (unP256Scalar (P256Scalar (curveN - 1))) point7 + `shouldBe` P256.pointNegate point7 + where + point7 = P256.toPoint (unP256Scalar (P256Scalar 7)) + + casePointIsValid pointTuple = + let s = P256.pointFromIntegers pointTuple in P256.pointIsValid s `shouldBe` True + + propertyLiftToCurve r = + let p = P256.toPoint (unP256Scalar r) + (x, y) = P256.pointToIntegers p + pEcc = ECC.pointMul curve (unP256 r) curveGen + in pEcc `propertyEq` ECC.Point x y + + propertyPointAdd r1 r2 = + let p1 = P256.toPoint (unP256Scalar r1) + p2 = P256.toPoint (unP256Scalar r2) + pe1 = ECC.pointMul curve (unP256 r1) curveGen + pe2 = ECC.pointMul curve (unP256 r2) curveGen + pR = P256.toPoint (P256.scalarAdd (unP256Scalar r1) (unP256Scalar r2)) + peR = ECC.pointAdd curve pe1 pe2 + in (unP256 r1 + unP256 r2) `mod` curveN + /= 0 + ==> propertyHold + [ eqTest "p256" pR (P256.pointAdd p1 p2) + , eqTest "ecc" peR (pointP256ToECC pR) + ] + + propertyPointNegate r = + let p = P256.toPoint (unP256Scalar r) + pe = ECC.pointMul curve (unP256 r) curveGen + pR = P256.pointNegate p + in ECC.pointNegate curve pe `propertyEq` pointP256ToECC pR + + propertyPointMul s' r' = + let s = modP256Scalar s' + r = modP256Scalar r' + p = P256.toPoint (unP256Scalar r) + pe = ECC.pointMul curve (unP256 r) curveGen + pR = P256.toPoint (P256.scalarMul (unP256Scalar s) (unP256Scalar r)) + peR = ECC.pointMul curve (unP256 s) pe + in propertyHold + [ eqTest "p256" pR (P256.pointMul (unP256Scalar s) p) + , eqTest "ecc" peR (pointP256ToECC pR) + ] + + -- k * (7 * G), against the reference implementation. + casePointMulSmall k = + let base = P256.toPoint (unP256Scalar (P256Scalar 7)) + baseE = ECC.pointMul curve 7 curveGen + got = P256.pointMul (unP256Scalar (P256Scalar k)) base + in ECC.pointMul curve k baseE `propertyEq` pointP256ToECC got + + pointInfinity :: P256.Point + pointInfinity = P256.pointFromIntegers (0, 0) + + casePointAddInfinity = + propertyHold + [ eqTest + "infinity + base" + P256.pointBase + (P256.pointAdd pointInfinity P256.pointBase) + , eqTest + "base + infinity" + P256.pointBase + (P256.pointAdd P256.pointBase pointInfinity) + , eqTest + "infinity + infinity" + pointInfinity + (P256.pointAdd pointInfinity pointInfinity) + ] + + propertyPointAddInfinityIdentity r = + let p = P256.toPoint (unP256Scalar r) + in propertyHold + [ eqTest + "infinity + p" + p + (P256.pointAdd pointInfinity p) + , eqTest + "p + infinity" + p + (P256.pointAdd p pointInfinity) + ] + + propertyPointAddInverse r = + let p = P256.toPoint (unP256Scalar r) + in propertyHold + [ eqTest + "p + negate p" + True + (P256.pointIsAtInfinity (P256.pointAdd p (P256.pointNegate p))) + , eqTest + "negate p + p" + True + (P256.pointIsAtInfinity (P256.pointAdd (P256.pointNegate p) p)) + ] diff --git a/tests/PubKey/PSSSpec.hs b/tests/PubKey/PSSSpec.hs new file mode 100644 --- /dev/null +++ b/tests/PubKey/PSSSpec.hs @@ -0,0 +1,584 @@ +{-# LANGUAGE OverloadedStrings #-} + +module PubKey.PSSSpec (spec) where + +import Crypto.Number.Basic (numBits) +import Crypto.Number.Serialize (i2ospOf_, os2ip) +import Crypto.PubKey.RSA +import Crypto.PubKey.RSA.Prim (dp, ep) +import qualified Crypto.PubKey.RSA.PSS as PSS +import qualified Data.ByteString as B +import qualified Data.Bits as Bits +import Data.Word (Word8) + +import Imports + +-- Module contains one vector generated by the implementation itself and other +-- vectors from + +data VectorPSS = VectorPSS + { message :: ByteString + , salt :: ByteString + , signature :: ByteString + } + +rsaKeyInt = + PrivateKey + { private_pub = + PublicKey + { public_n = + 0xa2ba40ee07e3b2bd2f02ce227f36a195024486e49c19cb41bbbdfbba98b22b0e577c2eeaffa20d883a76e65e394c69d4b3c05a1e8fadda27edb2a42bc000fe888b9b32c22d15add0cd76b3e7936e19955b220dd17d4ea904b1ec102b2e4de7751222aa99151024c7cb41cc5ea21d00eeb41f7c800834d2c6e06bce3bce7ea9a5 + , public_e = 0x010001 + , public_size = 128 + } + , private_d = + 0x50e2c3e38d886110288dfc68a9533e7e12e27d2aa56d2cdb3fb6efa990bcff29e1d2987fb711962860e7391b1ce01ebadb9e812d2fbdfaf25df4ae26110a6d7a26f0b810f54875e17dd5c9fb6d641761245b81e79f8c88f0e55a6dcd5f133abd35f8f4ec80adf1bf86277a582894cb6ebcd2162f1c7534f1f4947b129151b71 + , private_p = + 0xd17f655bf27c8b16d35462c905cc04a26f37e2a67fa9c0ce0dced472394a0df743fe7f929e378efdb368eddff453cf007af6d948e0ade757371f8a711e278f6b + , private_q = + 0xc6d92b6fee7414d1358ce1546fb62987530b90bd15e0f14963a5e2635adb69347ec0c01b2ab1763fd8ac1a592fb22757463a982425bb97a3a437c5bf86d03f2f + , private_dP = + 0x9d0dbf83e5ce9e4b1754dcd5cd05bcb7b55f1508330ea49f14d4e889550f8256cb5f806dff34b17ada44208853577d08e4262890acf752461cea05547601bc4f + , private_dQ = + 0x1291a524c6b7c059e90e46dc83b2171eb3fa98818fd179b6c8bf6cecaa476303abf283fe05769cfc495788fe5b1ddfde9e884a3cd5e936b7e955ebf97eb563b1 + , private_qinv = + 0xa63f1da38b950c9ad1c67ce0d677ec2914cd7d40062df42a67eb198a176f9742aac7c5fea14f2297662b84812c4defc49a8025ab4382286be4c03788dd01d69f + } + +rsaKey1 = + PrivateKey + { private_pub = + PublicKey + { public_n = + 0xa56e4a0e701017589a5187dc7ea841d156f2ec0e36ad52a44dfeb1e61f7ad991d8c51056ffedb162b4c0f283a12a88a394dff526ab7291cbb307ceabfce0b1dfd5cd9508096d5b2b8b6df5d671ef6377c0921cb23c270a70e2598e6ff89d19f105acc2d3f0cb35f29280e1386b6f64c4ef22e1e1f20d0ce8cffb2249bd9a2137 + , public_e = 0x010001 + , public_size = 128 + } + , private_d = + 0x33a5042a90b27d4f5451ca9bbbd0b44771a101af884340aef9885f2a4bbe92e894a724ac3c568c8f97853ad07c0266c8c6a3ca0929f1e8f11231884429fc4d9ae55fee896a10ce707c3ed7e734e44727a39574501a532683109c2abacaba283c31b4bd2f53c3ee37e352cee34f9e503bd80c0622ad79c6dcee883547c6a3b325 + , private_p = + 0xe7e8942720a877517273a356053ea2a1bc0c94aa72d55c6e86296b2dfc967948c0a72cbccca7eacb35706e09a1df55a1535bd9b3cc34160b3b6dcd3eda8e6443 + , private_q = + 0xb69dca1cf7d4d7ec81e75b90fcca874abcde123fd2700180aa90479b6e48de8d67ed24f9f19d85ba275874f542cd20dc723e6963364a1f9425452b269a6799fd + , private_dP = + 0x28fa13938655be1f8a159cbaca5a72ea190c30089e19cd274a556f36c4f6e19f554b34c077790427bbdd8dd3ede2448328f385d81b30e8e43b2fffa027861979 + , private_dQ = + 0x1a8b38f398fa712049898d7fb79ee0a77668791299cdfa09efc0e507acb21ed74301ef5bfd48be455eaeb6e1678255827580a8e4e8e14151d1510a82a3f2e729 + , private_qinv = + 0x27156aba4126d24a81f3a528cbfb27f56886f840a9f6e86e17a44b94fe9319584b8e22fdde1e5a2e3bd8aa5ba8d8584194eb2190acf832b847f13a3d24a79f4d + } + +vectorInt = + VectorPSS + { message = + "\x85\x9e\xef\x2f\xd7\x8a\xca\x00\x30\x8b\xdc\x47\x11\x93\xbf\x55\xbf\x9d\x78\xdb\x8f\x8a\x67\x2b\x48\x46\x34\xf3\xc9\xc2\x6e\x64\x78\xae\x10\x26\x0f\xe0\xdd\x8c\x08\x2e\x53\xa5\x29\x3a\xf2\x17\x3c\xd5\x0c\x6d\x5d\x35\x4f\xeb\xf7\x8b\x26\x02\x1c\x25\xc0\x27\x12\xe7\x8c\xd4\x69\x4c\x9f\x46\x97\x77\xe4\x51\xe7\xf8\xe9\xe0\x4c\xd3\x73\x9c\x6b\xbf\xed\xae\x48\x7f\xb5\x56\x44\xe9\xca\x74\xff\x77\xa5\x3c\xb7\x29\x80\x2f\x6e\xd4\xa5\xff\xa8\xba\x15\x98\x90\xfc" + , salt = + "\xe3\xb5\xd5\xd0\x02\xc1\xbc\xe5\x0c\x2b\x65\xef\x88\xa1\x88\xd8\x3b\xce\x7e\x61" + , signature = + "\x8d\xaa\x62\x7d\x3d\xe7\x59\x5d\x63\x05\x6c\x7e\xc6\x59\xe5\x44\x06\xf1\x06\x10\x12\x8b\xaa\xe8\x21\xc8\xb2\xa0\xf3\x93\x6d\x54\xdc\x3b\xdc\xe4\x66\x89\xf6\xb7\x95\x1b\xb1\x8e\x84\x05\x42\x76\x97\x18\xd5\x71\x5d\x21\x0d\x85\xef\xbb\x59\x61\x92\x03\x2c\x42\xbe\x4c\x29\x97\x2c\x85\x62\x75\xeb\x6d\x5a\x45\xf0\x5f\x51\x87\x6f\xc6\x74\x3d\xed\xdd\x28\xca\xec\x9b\xb3\x0e\xa9\x9e\x02\xc3\x48\x82\x69\x60\x4f\xe4\x97\xf7\x4c\xcd\x7c\x7f\xca\x16\x71\x89\x71\x23\xcb\xd3\x0d\xef\x5d\x54\xa2\xb5\x53\x6a\xd9\x0a\x74\x7e" + } + +{- +# mHash = Hash(M) +# salt = random string of octets +# M' = Padding || mHash || salt +# H = Hash(M') +# DB = Padding || salt +# dbMask = MGF(H, length(DB)) +# maskedDB = DB xor dbMask (leftmost bit set to +# zero) +# EM = maskedDB || H || 0xbc + +# mHash: +37 b6 6a e0 44 58 43 35 3d 47 ec b0 b4 fd 14 c1 +10 e6 2d 6a + +# salt: + +# M': +00 00 00 00 00 00 00 00 37 b6 6a e0 44 58 43 35 +3d 47 ec b0 b4 fd 14 c1 10 e6 2d 6a e3 b5 d5 d0 +02 c1 bc e5 0c 2b 65 ef 88 a1 88 d8 3b ce 7e 61 + +# H: +df 1a 89 6f 9d 8b c8 16 d9 7c d7 a2 c4 3b ad 54 +6f be 8c fe + +# DB: +00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 +00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 +00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 +00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 +00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 +00 00 00 00 00 00 01 e3 b5 d5 d0 02 c1 bc e5 0c +2b 65 ef 88 a1 88 d8 3b ce 7e 61 + +# dbMask: +66 e4 67 2e 83 6a d1 21 ba 24 4b ed 65 76 b8 67 +d9 a4 47 c2 8a 6e 66 a5 b8 7d ee 7f bc 7e 65 af +50 57 f8 6f ae 89 84 d9 ba 7f 96 9a d6 fe 02 a4 +d7 5f 74 45 fe fd d8 5b 6d 3a 47 7c 28 d2 4b a1 +e3 75 6f 79 2d d1 dc e8 ca 94 44 0e cb 52 79 ec +d3 18 3a 31 1f c8 97 39 a9 66 43 13 6e 8b 0f 46 +5e 87 a4 53 5c d4 c5 9b 10 02 8d + +# maskedDB: +66 e4 67 2e 83 6a d1 21 ba 24 4b ed 65 76 b8 67 +d9 a4 47 c2 8a 6e 66 a5 b8 7d ee 7f bc 7e 65 af +50 57 f8 6f ae 89 84 d9 ba 7f 96 9a d6 fe 02 a4 +d7 5f 74 45 fe fd d8 5b 6d 3a 47 7c 28 d2 4b a1 +e3 75 6f 79 2d d1 dc e8 ca 94 44 0e cb 52 79 ec +d3 18 3a 31 1f c8 96 da 1c b3 93 11 af 37 ea 4a +75 e2 4b db fd 5c 1d a0 de 7c ec + +# Encoded message EM: +66 e4 67 2e 83 6a d1 21 ba 24 4b ed 65 76 b8 67 +d9 a4 47 c2 8a 6e 66 a5 b8 7d ee 7f bc 7e 65 af +50 57 f8 6f ae 89 84 d9 ba 7f 96 9a d6 fe 02 a4 +d7 5f 74 45 fe fd d8 5b 6d 3a 47 7c 28 d2 4b a1 +e3 75 6f 79 2d d1 dc e8 ca 94 44 0e cb 52 79 ec +d3 18 3a 31 1f c8 96 da 1c b3 93 11 af 37 ea 4a +75 e2 4b db fd 5c 1d a0 de 7c ec df 1a 89 6f 9d +8b c8 16 d9 7c d7 a2 c4 3b ad 54 6f be 8c fe bc +-} + +vectorsKey1 = + [ -- Example 1.1 + VectorPSS + { message = + "\xcd\xc8\x7d\xa2\x23\xd7\x86\xdf\x3b\x45\xe0\xbb\xbc\x72\x13\x26\xd1\xee\x2a\xf8\x06\xcc\x31\x54\x75\xcc\x6f\x0d\x9c\x66\xe1\xb6\x23\x71\xd4\x5c\xe2\x39\x2e\x1a\xc9\x28\x44\xc3\x10\x10\x2f\x15\x6a\x0d\x8d\x52\xc1\xf4\xc4\x0b\xa3\xaa\x65\x09\x57\x86\xcb\x76\x97\x57\xa6\x56\x3b\xa9\x58\xfe\xd0\xbc\xc9\x84\xe8\xb5\x17\xa3\xd5\xf5\x15\xb2\x3b\x8a\x41\xe7\x4a\xa8\x67\x69\x3f\x90\xdf\xb0\x61\xa6\xe8\x6d\xfa\xae\xe6\x44\x72\xc0\x0e\x5f\x20\x94\x57\x29\xcb\xeb\xe7\x7f\x06\xce\x78\xe0\x8f\x40\x98\xfb\xa4\x1f\x9d\x61\x93\xc0\x31\x7e\x8b\x60\xd4\xb6\x08\x4a\xcb\x42\xd2\x9e\x38\x08\xa3\xbc\x37\x2d\x85\xe3\x31\x17\x0f\xcb\xf7\xcc\x72\xd0\xb7\x1c\x29\x66\x48\xb3\xa4\xd1\x0f\x41\x62\x95\xd0\x80\x7a\xa6\x25\xca\xb2\x74\x4f\xd9\xea\x8f\xd2\x23\xc4\x25\x37\x02\x98\x28\xbd\x16\xbe\x02\x54\x6f\x13\x0f\xd2\xe3\x3b\x93\x6d\x26\x76\xe0\x8a\xed\x1b\x73\x31\x8b\x75\x0a\x01\x67\xd0" + , salt = + "\xde\xe9\x59\xc7\xe0\x64\x11\x36\x14\x20\xff\x80\x18\x5e\xd5\x7f\x3e\x67\x76\xaf" + , signature = + "\x90\x74\x30\x8f\xb5\x98\xe9\x70\x1b\x22\x94\x38\x8e\x52\xf9\x71\xfa\xac\x2b\x60\xa5\x14\x5a\xf1\x85\xdf\x52\x87\xb5\xed\x28\x87\xe5\x7c\xe7\xfd\x44\xdc\x86\x34\xe4\x07\xc8\xe0\xe4\x36\x0b\xc2\x26\xf3\xec\x22\x7f\x9d\x9e\x54\x63\x8e\x8d\x31\xf5\x05\x12\x15\xdf\x6e\xbb\x9c\x2f\x95\x79\xaa\x77\x59\x8a\x38\xf9\x14\xb5\xb9\xc1\xbd\x83\xc4\xe2\xf9\xf3\x82\xa0\xd0\xaa\x35\x42\xff\xee\x65\x98\x4a\x60\x1b\xc6\x9e\xb2\x8d\xeb\x27\xdc\xa1\x2c\x82\xc2\xd4\xc3\xf6\x6c\xd5\x00\xf1\xff\x2b\x99\x4d\x8a\x4e\x30\xcb\xb3\x3c" + } + , -- Example 1.2 + VectorPSS + { message = + "\x85\x13\x84\xcd\xfe\x81\x9c\x22\xed\x6c\x4c\xcb\x30\xda\xeb\x5c\xf0\x59\xbc\x8e\x11\x66\xb7\xe3\x53\x0c\x4c\x23\x3e\x2b\x5f\x8f\x71\xa1\xcc\xa5\x82\xd4\x3e\xcc\x72\xb1\xbc\xa1\x6d\xfc\x70\x13\x22\x6b\x9e" + , salt = + "\xef\x28\x69\xfa\x40\xc3\x46\xcb\x18\x3d\xab\x3d\x7b\xff\xc9\x8f\xd5\x6d\xf4\x2d" + , signature = + "\x3e\xf7\xf4\x6e\x83\x1b\xf9\x2b\x32\x27\x41\x42\xa5\x85\xff\xce\xfb\xdc\xa7\xb3\x2a\xe9\x0d\x10\xfb\x0f\x0c\x72\x99\x84\xf0\x4e\xf2\x9a\x9d\xf0\x78\x07\x75\xce\x43\x73\x9b\x97\x83\x83\x90\xdb\x0a\x55\x05\xe6\x3d\xe9\x27\x02\x8d\x9d\x29\xb2\x19\xca\x2c\x45\x17\x83\x25\x58\xa5\x5d\x69\x4a\x6d\x25\xb9\xda\xb6\x60\x03\xc4\xcc\xcd\x90\x78\x02\x19\x3b\xe5\x17\x0d\x26\x14\x7d\x37\xb9\x35\x90\x24\x1b\xe5\x1c\x25\x05\x5f\x47\xef\x62\x75\x2c\xfb\xe2\x14\x18\xfa\xfe\x98\xc2\x2c\x4d\x4d\x47\x72\x4f\xdb\x56\x69\xe8\x43" + } + , -- Example 1.3 + VectorPSS + { message = + "\xa4\xb1\x59\x94\x17\x61\xc4\x0c\x6a\x82\xf2\xb8\x0d\x1b\x94\xf5\xaa\x26\x54\xfd\x17\xe1\x2d\x58\x88\x64\x67\x9b\x54\xcd\x04\xef\x8b\xd0\x30\x12\xbe\x8d\xc3\x7f\x4b\x83\xaf\x79\x63\xfa\xff\x0d\xfa\x22\x54\x77\x43\x7c\x48\x01\x7f\xf2\xbe\x81\x91\xcf\x39\x55\xfc\x07\x35\x6e\xab\x3f\x32\x2f\x7f\x62\x0e\x21\xd2\x54\xe5\xdb\x43\x24\x27\x9f\xe0\x67\xe0\x91\x0e\x2e\x81\xca\x2c\xab\x31\xc7\x45\xe6\x7a\x54\x05\x8e\xb5\x0d\x99\x3c\xdb\x9e\xd0\xb4\xd0\x29\xc0\x6d\x21\xa9\x4c\xa6\x61\xc3\xce\x27\xfa\xe1\xd6\xcb\x20\xf4\x56\x4d\x66\xce\x47\x67\x58\x3d\x0e\x5f\x06\x02\x15\xb5\x90\x17\xbe\x85\xea\x84\x89\x39\x12\x7b\xd8\xc9\xc4\xd4\x7b\x51\x05\x6c\x03\x1c\xf3\x36\xf1\x7c\x99\x80\xf3\xb8\xf5\xb9\xb6\x87\x8e\x8b\x79\x7a\xa4\x3b\x88\x26\x84\x33\x3e\x17\x89\x3f\xe9\xca\xa6\xaa\x29\x9f\x7e\xd1\xa1\x8e\xe2\xc5\x48\x64\xb7\xb2\xb9\x9b\x72\x61\x8f\xb0\x25\x74\xd1\x39\xef\x50\xf0\x19\xc9\xee\xf4\x16\x97\x13\x38\xe7\xd4\x70" + , salt = + "\x71\x0b\x9c\x47\x47\xd8\x00\xd4\xde\x87\xf1\x2a\xfd\xce\x6d\xf1\x81\x07\xcc\x77" + , signature = + "\x66\x60\x26\xfb\xa7\x1b\xd3\xe7\xcf\x13\x15\x7c\xc2\xc5\x1a\x8e\x4a\xa6\x84\xaf\x97\x78\xf9\x18\x49\xf3\x43\x35\xd1\x41\xc0\x01\x54\xc4\x19\x76\x21\xf9\x62\x4a\x67\x5b\x5a\xbc\x22\xee\x7d\x5b\xaa\xff\xaa\xe1\xc9\xba\xca\x2c\xc3\x73\xb3\xf3\x3e\x78\xe6\x14\x3c\x39\x5a\x91\xaa\x7f\xac\xa6\x64\xeb\x73\x3a\xfd\x14\xd8\x82\x72\x59\xd9\x9a\x75\x50\xfa\xca\x50\x1e\xf2\xb0\x4e\x33\xc2\x3a\xa5\x1f\x4b\x9e\x82\x82\xef\xdb\x72\x8c\xc0\xab\x09\x40\x5a\x91\x60\x7c\x63\x69\x96\x1b\xc8\x27\x0d\x2d\x4f\x39\xfc\xe6\x12\xb1" + } + , -- Example 1.4 + VectorPSS + { message = "\xbc\x65\x67\x47\xfa\x9e\xaf\xb3\xf0" + , salt = + "\x05\x6f\x00\x98\x5d\xe1\x4d\x8e\xf5\xce\xa9\xe8\x2f\x8c\x27\xbe\xf7\x20\x33\x5e" + , signature = + "\x46\x09\x79\x3b\x23\xe9\xd0\x93\x62\xdc\x21\xbb\x47\xda\x0b\x4f\x3a\x76\x22\x64\x9a\x47\xd4\x64\x01\x9b\x9a\xea\xfe\x53\x35\x9c\x17\x8c\x91\xcd\x58\xba\x6b\xcb\x78\xbe\x03\x46\xa7\xbc\x63\x7f\x4b\x87\x3d\x4b\xab\x38\xee\x66\x1f\x19\x96\x34\xc5\x47\xa1\xad\x84\x42\xe0\x3d\xa0\x15\xb1\x36\xe5\x43\xf7\xab\x07\xc0\xc1\x3e\x42\x25\xb8\xde\x8c\xce\x25\xd4\xf6\xeb\x84\x00\xf8\x1f\x7e\x18\x33\xb7\xee\x6e\x33\x4d\x37\x09\x64\xca\x79\xfd\xb8\x72\xb4\xd7\x52\x23\xb5\xee\xb0\x81\x01\x59\x1f\xb5\x32\xd1\x55\xa6\xde\x87" + } + , -- Example 1.5 + VectorPSS + { message = + "\xb4\x55\x81\x54\x7e\x54\x27\x77\x0c\x76\x8e\x8b\x82\xb7\x55\x64\xe0\xea\x4e\x9c\x32\x59\x4d\x6b\xff\x70\x65\x44\xde\x0a\x87\x76\xc7\xa8\x0b\x45\x76\x55\x0e\xee\x1b\x2a\xca\xbc\x7e\x8b\x7d\x3e\xf7\xbb\x5b\x03\xe4\x62\xc1\x10\x47\xea\xdd\x00\x62\x9a\xe5\x75\x48\x0a\xc1\x47\x0f\xe0\x46\xf1\x3a\x2b\xf5\xaf\x17\x92\x1d\xc4\xb0\xaa\x8b\x02\xbe\xe6\x33\x49\x11\x65\x1d\x7f\x85\x25\xd1\x0f\x32\xb5\x1d\x33\xbe\x52\x0d\x3d\xdf\x5a\x70\x99\x55\xa3\xdf\xe7\x82\x83\xb9\xe0\xab\x54\x04\x6d\x15\x0c\x17\x7f\x03\x7f\xdc\xcc\x5b\xe4\xea\x5f\x68\xb5\xe5\xa3\x8c\x9d\x7e\xdc\xcc\xc4\x97\x5f\x45\x5a\x69\x09\xb4" + , salt = + "\x80\xe7\x0f\xf8\x6a\x08\xde\x3e\xc6\x09\x72\xb3\x9b\x4f\xbf\xdc\xea\x67\xae\x8e" + , signature = + "\x1d\x2a\xad\x22\x1c\xa4\xd3\x1d\xdf\x13\x50\x92\x39\x01\x93\x98\xe3\xd1\x4b\x32\xdc\x34\xdc\x5a\xf4\xae\xae\xa3\xc0\x95\xaf\x73\x47\x9c\xf0\xa4\x5e\x56\x29\x63\x5a\x53\xa0\x18\x37\x76\x15\xb1\x6c\xb9\xb1\x3b\x3e\x09\xd6\x71\xeb\x71\xe3\x87\xb8\x54\x5c\x59\x60\xda\x5a\x64\x77\x6e\x76\x8e\x82\xb2\xc9\x35\x83\xbf\x10\x4c\x3f\xdb\x23\x51\x2b\x7b\x4e\x89\xf6\x33\xdd\x00\x63\xa5\x30\xdb\x45\x24\xb0\x1c\x3f\x38\x4c\x09\x31\x0e\x31\x5a\x79\xdc\xd3\xd6\x84\x02\x2a\x7f\x31\xc8\x65\xa6\x64\xe3\x16\x97\x8b\x75\x9f\xad" + } + , -- Example 1.6 + VectorPSS + { message = + "\x10\xaa\xe9\xa0\xab\x0b\x59\x5d\x08\x41\x20\x7b\x70\x0d\x48\xd7\x5f\xae\xdd\xe3\xb7\x75\xcd\x6b\x4c\xc8\x8a\xe0\x6e\x46\x94\xec\x74\xba\x18\xf8\x52\x0d\x4f\x5e\xa6\x9c\xbb\xe7\xcc\x2b\xeb\xa4\x3e\xfd\xc1\x02\x15\xac\x4e\xb3\x2d\xc3\x02\xa1\xf5\x3d\xc6\xc4\x35\x22\x67\xe7\x93\x6c\xfe\xbf\x7c\x8d\x67\x03\x57\x84\xa3\x90\x9f\xa8\x59\xc7\xb7\xb5\x9b\x8e\x39\xc5\xc2\x34\x9f\x18\x86\xb7\x05\xa3\x02\x67\xd4\x02\xf7\x48\x6a\xb4\xf5\x8c\xad\x5d\x69\xad\xb1\x7a\xb8\xcd\x0c\xe1\xca\xf5\x02\x5a\xf4\xae\x24\xb1\xfb\x87\x94\xc6\x07\x0c\xc0\x9a\x51\xe2\xf9\x91\x13\x11\xe3\x87\x7d\x00\x44\xc7\x1c\x57\xa9\x93\x39\x50\x08\x80\x6b\x72\x3a\xc3\x83\x73\xd3\x95\x48\x18\x18\x52\x8c\x1e\x70\x53\x73\x92\x82\x05\x35\x29\x51\x0e\x93\x5c\xd0\xfa\x77\xb8\xfa\x53\xcc\x2d\x47\x4b\xd4\xfb\x3c\xc5\xc6\x72\xd6\xff\xdc\x90\xa0\x0f\x98\x48\x71\x2c\x4b\xcf\xe4\x6c\x60\x57\x36\x59\xb1\x1e\x64\x57\xe8\x61\xf0\xf6\x04\xb6\x13\x8d\x14\x4f\x8c\xe4\xe2\xda\x73" + , salt = + "\xa8\xab\x69\xdd\x80\x1f\x00\x74\xc2\xa1\xfc\x60\x64\x98\x36\xc6\x16\xd9\x96\x81" + , signature = + "\x2a\x34\xf6\x12\x5e\x1f\x6b\x0b\xf9\x71\xe8\x4f\xbd\x41\xc6\x32\xbe\x8f\x2c\x2a\xce\x7d\xe8\xb6\x92\x6e\x31\xff\x93\xe9\xaf\x98\x7f\xbc\x06\xe5\x1e\x9b\xe1\x4f\x51\x98\xf9\x1f\x3f\x95\x3b\xd6\x7d\xa6\x0a\x9d\xf5\x97\x64\xc3\xdc\x0f\xe0\x8e\x1c\xbe\xf0\xb7\x5f\x86\x8d\x10\xad\x3f\xba\x74\x9f\xef\x59\xfb\x6d\xac\x46\xa0\xd6\xe5\x04\x36\x93\x31\x58\x6f\x58\xe4\x62\x8f\x39\xaa\x27\x89\x82\x54\x3b\xc0\xee\xb5\x37\xdc\x61\x95\x80\x19\xb3\x94\xfb\x27\x3f\x21\x58\x58\xa0\xa0\x1a\xc4\xd6\x50\xb9\x55\xc6\x7f\x4c\x58" + } + ] + +-- ================================== +-- Example 2: A 1025-bit RSA Key Pair +-- ================================== + +rsaKey2 = + PrivateKey + { private_pub = + PublicKey + { public_n = + 0x01d40c1bcf97a68ae7cdbd8a7bf3e34fa19dcca4ef75a47454375f94514d88fed006fb829f8419ff87d6315da68a1ff3a0938e9abb3464011c303ad99199cf0c7c7a8b477dce829e8844f625b115e5e9c4a59cf8f8113b6834336a2fd2689b472cbb5e5cabe674350c59b6c17e176874fb42f8fc3d176a017edc61fd326c4b33c9 + , public_e = 0x010001 + , public_size = 129 + } + , private_d = + 0x027d147e4673057377fd1ea201565772176a7dc38358d376045685a2e787c23c15576bc16b9f444402d6bfc5d98a3e88ea13ef67c353eca0c0ddba9255bd7b8bb50a644afdfd1dd51695b252d22e7318d1b6687a1c10ff75545f3db0fe602d5f2b7f294e3601eab7b9d1cecd767f64692e3e536ca2846cb0c2dd486a39fa75b1 + , private_p = + 0x016601e926a0f8c9e26ecab769ea65a5e7c52cc9e080ef519457c644da6891c5a104d3ea7955929a22e7c68a7af9fcad777c3ccc2b9e3d3650bce404399b7e59d1 + , private_q = + 0x014eafa1d4d0184da7e31f877d1281ddda625664869e8379e67ad3b75eae74a580e9827abd6eb7a002cb5411f5266797768fb8e95ae40e3e8a01f35ff89e56c079 + , private_dP = + 0xe247cce504939b8f0a36090de200938755e2444b29539a7da7a902f6056835c0db7b52559497cfe2c61a8086d0213c472c78851800b171f6401de2e9c2756f31 + , private_dQ = + 0xb12fba757855e586e46f64c38a70c68b3f548d93d787b399999d4c8f0bbd2581c21e19ed0018a6d5d3df86424b3abcad40199d31495b61309f27c1bf55d487c1 + , private_qinv = + 0x564b1e1fa003bda91e89090425aac05b91da9ee25061e7628d5f51304a84992fdc33762bd378a59f030a334d532bd0dae8f298ea9ed844636ad5fb8cbdc03cad + } + +vectorsKey2 = + [ -- Example 2.1 + VectorPSS + { message = + "\xda\xba\x03\x20\x66\x26\x3f\xae\xdb\x65\x98\x48\x11\x52\x78\xa5\x2c\x44\xfa\xa3\xa7\x6f\x37\x51\x5e\xd3\x36\x32\x10\x72\xc4\x0a\x9d\x9b\x53\xbc\x05\x01\x40\x78\xad\xf5\x20\x87\x51\x46\xaa\xe7\x0f\xf0\x60\x22\x6d\xcb\x7b\x1f\x1f\xc2\x7e\x93\x60" + , salt = + "\x57\xbf\x16\x0b\xcb\x02\xbb\x1d\xc7\x28\x0c\xf0\x45\x85\x30\xb7\xd2\x83\x2f\xf7" + , signature = + "\x01\x4c\x5b\xa5\x33\x83\x28\xcc\xc6\xe7\xa9\x0b\xf1\xc0\xab\x3f\xd6\x06\xff\x47\x96\xd3\xc1\x2e\x4b\x63\x9e\xd9\x13\x6a\x5f\xec\x6c\x16\xd8\x88\x4b\xdd\x99\xcf\xdc\x52\x14\x56\xb0\x74\x2b\x73\x68\x68\xcf\x90\xde\x09\x9a\xdb\x8d\x5f\xfd\x1d\xef\xf3\x9b\xa4\x00\x7a\xb7\x46\xce\xfd\xb2\x2d\x7d\xf0\xe2\x25\xf5\x46\x27\xdc\x65\x46\x61\x31\x72\x1b\x90\xaf\x44\x53\x63\xa8\x35\x8b\x9f\x60\x76\x42\xf7\x8f\xab\x0a\xb0\xf4\x3b\x71\x68\xd6\x4b\xae\x70\xd8\x82\x78\x48\xd8\xef\x1e\x42\x1c\x57\x54\xdd\xf4\x2c\x25\x89\xb5\xb3" + } + , -- Example 2.2 + VectorPSS + { message = + "\xe4\xf8\x60\x1a\x8a\x6d\xa1\xbe\x34\x44\x7c\x09\x59\xc0\x58\x57\x0c\x36\x68\xcf\xd5\x1d\xd5\xf9\xcc\xd6\xad\x44\x11\xfe\x82\x13\x48\x6d\x78\xa6\xc4\x9f\x93\xef\xc2\xca\x22\x88\xce\xbc\x2b\x9b\x60\xbd\x04\xb1\xe2\x20\xd8\x6e\x3d\x48\x48\xd7\x09\xd0\x32\xd1\xe8\xc6\xa0\x70\xc6\xaf\x9a\x49\x9f\xcf\x95\x35\x4b\x14\xba\x61\x27\xc7\x39\xde\x1b\xb0\xfd\x16\x43\x1e\x46\x93\x8a\xec\x0c\xf8\xad\x9e\xb7\x2e\x83\x2a\x70\x35\xde\x9b\x78\x07\xbd\xc0\xed\x8b\x68\xeb\x0f\x5a\xc2\x21\x6b\xe4\x0c\xe9\x20\xc0\xdb\x0e\xdd\xd3\x86\x0e\xd7\x88\xef\xac\xca\xca\x50\x2d\x8f\x2b\xd6\xd1\xa7\xc1\xf4\x1f\xf4\x6f\x16\x81\xc8\xf1\xf8\x18\xe9\xc4\xf6\xd9\x1a\x0c\x78\x03\xcc\xc6\x3d\x76\xa6\x54\x4d\x84\x3e\x08\x4e\x36\x3b\x8a\xcc\x55\xaa\x53\x17\x33\xed\xb5\xde\xe5\xb5\x19\x6e\x9f\x03\xe8\xb7\x31\xb3\x77\x64\x28\xd9\xe4\x57\xfe\x3f\xbc\xb3\xdb\x72\x74\x44\x2d\x78\x58\x90\xe9\xcb\x08\x54\xb6\x44\x4d\xac\xe7\x91\xd7\x27\x3d\xe1\x88\x97\x19\x33\x8a\x77\xfe" + , salt = + "\x7f\x6d\xd3\x59\xe6\x04\xe6\x08\x70\xe8\x98\xe4\x7b\x19\xbf\x2e\x5a\x7b\x2a\x90" + , signature = + "\x01\x09\x91\x65\x6c\xca\x18\x2b\x7f\x29\xd2\xdb\xc0\x07\xe7\xae\x0f\xec\x15\x8e\xb6\x75\x9c\xb9\xc4\x5c\x5f\xf8\x7c\x76\x35\xdd\x46\xd1\x50\x88\x2f\x4d\xe1\xe9\xae\x65\xe7\xf7\xd9\x01\x8f\x68\x36\x95\x4a\x47\xc0\xa8\x1a\x8a\x6b\x6f\x83\xf2\x94\x4d\x60\x81\xb1\xaa\x7c\x75\x9b\x25\x4b\x2c\x34\xb6\x91\xda\x67\xcc\x02\x26\xe2\x0b\x2f\x18\xb4\x22\x12\x76\x1d\xcd\x4b\x90\x8a\x62\xb3\x71\xb5\x91\x8c\x57\x42\xaf\x4b\x53\x7e\x29\x69\x17\x67\x4f\xb9\x14\x19\x47\x61\x62\x1c\xc1\x9a\x41\xf6\xfb\x95\x3f\xbc\xbb\x64\x9d\xea" + } + , -- Example 2.3 + VectorPSS + { message = + "\x52\xa1\xd9\x6c\x8a\xc3\x9e\x41\xe4\x55\x80\x98\x01\xb9\x27\xa5\xb4\x45\xc1\x0d\x90\x2a\x0d\xcd\x38\x50\xd2\x2a\x66\xd2\xbb\x07\x03\xe6\x7d\x58\x67\x11\x45\x95\xaa\xbf\x5a\x7a\xeb\x5a\x8f\x87\x03\x4b\xbb\x30\xe1\x3c\xfd\x48\x17\xa9\xbe\x76\x23\x00\x23\x60\x6d\x02\x86\xa3\xfa\xf8\xa4\xd2\x2b\x72\x8e\xc5\x18\x07\x9f\x9e\x64\x52\x6e\x3a\x0c\xc7\x94\x1a\xa3\x38\xc4\x37\x99\x7c\x68\x0c\xca\xc6\x7c\x66\xbf\xa1" + , salt = + "\xfc\xa8\x62\x06\x8b\xce\x22\x46\x72\x4b\x70\x8a\x05\x19\xda\x17\xe6\x48\x68\x8c" + , signature = + "\x00\x7f\x00\x30\x01\x8f\x53\xcd\xc7\x1f\x23\xd0\x36\x59\xfd\xe5\x4d\x42\x41\xf7\x58\xa7\x50\xb4\x2f\x18\x5f\x87\x57\x85\x20\xc3\x07\x42\xaf\xd8\x43\x59\xb6\xe6\xe8\xd3\xed\x95\x9d\xc6\xfe\x48\x6b\xed\xc8\xe2\xcf\x00\x1f\x63\xa7\xab\xe1\x62\x56\xa1\xb8\x4d\xf0\xd2\x49\xfc\x05\xd3\x19\x4c\xe5\xf0\x91\x27\x42\xdb\xbf\x80\xdd\x17\x4f\x6c\x51\xf6\xba\xd7\xf1\x6c\xf3\x36\x4e\xba\x09\x5a\x06\x26\x7d\xc3\x79\x38\x03\xac\x75\x26\xae\xbe\x0a\x47\x5d\x38\xb8\xc2\x24\x7a\xb5\x1c\x48\x98\xdf\x70\x47\xdc\x6a\xdf\x52\xc6\xc4" + } + , -- Example 2.4 + VectorPSS + { message = + "\xa7\x18\x2c\x83\xac\x18\xbe\x65\x70\xa1\x06\xaa\x9d\x5c\x4e\x3d\xbb\xd4\xaf\xae\xb0\xc6\x0c\x4a\x23\xe1\x96\x9d\x79\xff" + , salt = + "\x80\x70\xef\x2d\xe9\x45\xc0\x23\x87\x68\x4b\xa0\xd3\x30\x96\x73\x22\x35\xd4\x40" + , signature = + "\x00\x9c\xd2\xf4\xed\xbe\x23\xe1\x23\x46\xae\x8c\x76\xdd\x9a\xd3\x23\x0a\x62\x07\x61\x41\xf1\x6c\x15\x2b\xa1\x85\x13\xa4\x8e\xf6\xf0\x10\xe0\xe3\x7f\xd3\xdf\x10\xa1\xec\x62\x9a\x0c\xb5\xa3\xb5\xd2\x89\x30\x07\x29\x8c\x30\x93\x6a\x95\x90\x3b\x6b\xa8\x55\x55\xd9\xec\x36\x73\xa0\x61\x08\xfd\x62\xa2\xfd\xa5\x6d\x1c\xe2\xe8\x5c\x4d\xb6\xb2\x4a\x81\xca\x3b\x49\x6c\x36\xd4\xfd\x06\xeb\x7c\x91\x66\xd8\xe9\x48\x77\xc4\x2b\xea\x62\x2b\x3b\xfe\x92\x51\xfd\xc2\x1d\x8d\x53\x71\xba\xda\xd7\x8a\x48\x82\x14\x79\x63\x35\xb4\x0b" + } + , -- Example 2.5 + VectorPSS + { message = + "\x86\xa8\x3d\x4a\x72\xee\x93\x2a\x4f\x56\x30\xaf\x65\x79\xa3\x86\xb7\x8f\xe8\x89\x99\xe0\xab\xd2\xd4\x90\x34\xa4\xbf\xc8\x54\xdd\x94\xf1\x09\x4e\x2e\x8c\xd7\xa1\x79\xd1\x95\x88\xe4\xae\xfc\x1b\x1b\xd2\x5e\x95\xe3\xdd\x46\x1f" + , salt = + "\x17\x63\x9a\x4e\x88\xd7\x22\xc4\xfc\xa2\x4d\x07\x9a\x8b\x29\xc3\x24\x33\xb0\xc9" + , signature = + "\x00\xec\x43\x08\x24\x93\x1e\xbd\x3b\xaa\x43\x03\x4d\xae\x98\xba\x64\x6b\x8c\x36\x01\x3d\x16\x71\xc3\xcf\x1c\xf8\x26\x0c\x37\x4b\x19\xf8\xe1\xcc\x8d\x96\x50\x12\x40\x5e\x7e\x9b\xf7\x37\x86\x12\xdf\xcc\x85\xfc\xe1\x2c\xda\x11\xf9\x50\xbd\x0b\xa8\x87\x67\x40\x43\x6c\x1d\x25\x95\xa6\x4a\x1b\x32\xef\xcf\xb7\x4a\x21\xc8\x73\xb3\xcc\x33\xaa\xf4\xe3\xdc\x39\x53\xde\x67\xf0\x67\x4c\x04\x53\xb4\xfd\x9f\x60\x44\x06\xd4\x41\xb8\x16\x09\x8c\xb1\x06\xfe\x34\x72\xbc\x25\x1f\x81\x5f\x59\xdb\x2e\x43\x78\xa3\xad\xdc\x18\x1e\xcf" + } + , -- Example 2.6 + VectorPSS + { message = + "\x04\x9f\x91\x54\xd8\x71\xac\x4a\x7c\x7a\xb4\x53\x25\xba\x75\x45\xa1\xed\x08\xf7\x05\x25\xb2\x66\x7c\xf1" + , salt = + "\x37\x81\x0d\xef\x10\x55\xed\x92\x2b\x06\x3d\xf7\x98\xde\x5d\x0a\xab\xf8\x86\xee" + , signature = + "\x00\x47\x5b\x16\x48\xf8\x14\xa8\xdc\x0a\xbd\xc3\x7b\x55\x27\xf5\x43\xb6\x66\xbb\x6e\x39\xd3\x0e\x5b\x49\xd3\xb8\x76\xdc\xcc\x58\xea\xc1\x4e\x32\xa2\xd5\x5c\x26\x16\x01\x44\x56\xad\x2f\x24\x6f\xc8\xe3\xd5\x60\xda\x3d\xdf\x37\x9a\x1c\x0b\xd2\x00\xf1\x02\x21\xdf\x07\x8c\x21\x9a\x15\x1b\xc8\xd4\xec\x9d\x2f\xc2\x56\x44\x67\x81\x10\x14\xef\x15\xd8\xea\x01\xc2\xeb\xbf\xf8\xc2\xc8\xef\xab\x38\x09\x6e\x55\xfc\xbe\x32\x85\xc7\xaa\x55\x88\x51\x25\x4f\xaf\xfa\x92\xc1\xc7\x2b\x78\x75\x86\x63\xef\x45\x82\x84\x31\x39\xd7\xa6" + } + ] + +-- ================================== +-- Example 3: A 1026-bit RSA Key Pair +-- ================================== + +rsaKey3 = + PrivateKey + { private_pub = + PublicKey + { public_n = + 0x02f246ef451ed3eebb9a310200cc25859c048e4be798302991112eb68ce6db674e280da21feded1ae74880ca522b18db249385012827c515f0e466a1ffa691d98170574e9d0eadb087586ca48933da3cc953d95bd0ed50de10ddcb6736107d6c831c7f663e833ca4c097e700ce0fb945f88fb85fe8e5a773172565b914a471a443 + , public_e = 0x010001 + , public_size = 129 + } + , private_d = + 0x651451733b56de5ac0a689a4aeb6e6894a69014e076c88dd7a667eab3232bbccd2fc44ba2fa9c31db46f21edd1fdb23c5c128a5da5bab91e7f952b67759c7cff705415ac9fa0907c7ca6178f668fb948d869da4cc3b7356f4008dfd5449d32ee02d9a477eb69fc29266e5d9070512375a50fbbcc27e238ad98425f6ebbf88991 + , private_p = + 0x01bd36e18ece4b0fdb2e9c9d548bd1a7d6e2c21c6fdc35074a1d05b1c6c8b3d558ea2639c9a9a421680169317252558bd148ad215aac550e2dcf12a82d0ebfe853 + , private_q = + 0x01b1b656ad86d8e19d5dc86292b3a192fdf6e0dd37877bad14822fa00190cab265f90d3f02057b6f54d6ecb14491e5adeacebc48bf0ebd2a2ad26d402e54f61651 + , private_dP = + 0x1f2779fd2e3e5e6bae05539518fba0cd0ead1aa4513a7cba18f1cf10e3f68195693d278a0f0ee72f89f9bc760d80e2f9d0261d516501c6ae39f14a476ce2ccf5 + , private_dQ = + 0x011a0d36794b04a854aab4b2462d439a5046c91d940b2bc6f75b62956fef35a2a6e63c5309817f307bbff9d59e7e331bd363f6d66849b18346adea169f0ae9aec1 + , private_qinv = + 0x0b30f0ecf558752fb3a6ce4ba2b8c675f659eba6c376585a1b39712d038ae3d2b46fcb418ae15d0905da6440e1513a30b9b7d6668fbc5e88e5ab7a175e73ba35 + } + +vectorsKey3 = + [ -- Example 3.1 + VectorPSS + { message = + "\x59\x4b\x37\x33\x3b\xbb\x2c\x84\x52\x4a\x87\xc1\xa0\x1f\x75\xfc\xec\x0e\x32\x56\xf1\x08\xe3\x8d\xca\x36\xd7\x0d\x00\x57" + , salt = + "\xf3\x1a\xd6\xc8\xcf\x89\xdf\x78\xed\x77\xfe\xac\xbc\xc2\xf8\xb0\xa8\xe4\xcf\xaa" + , signature = + "\x00\x88\xb1\x35\xfb\x17\x94\xb6\xb9\x6c\x4a\x3e\x67\x81\x97\xf8\xca\xc5\x2b\x64\xb2\xfe\x90\x7d\x6f\x27\xde\x76\x11\x24\x96\x4a\x99\xa0\x1a\x88\x27\x40\xec\xfa\xed\x6c\x01\xa4\x74\x64\xbb\x05\x18\x23\x13\xc0\x13\x38\xa8\xcd\x09\x72\x14\xcd\x68\xca\x10\x3b\xd5\x7d\x3b\xc9\xe8\x16\x21\x3e\x61\xd7\x84\xf1\x82\x46\x7a\xbf\x8a\x01\xcf\x25\x3e\x99\xa1\x56\xea\xa8\xe3\xe1\xf9\x0e\x3c\x6e\x4e\x3a\xa2\xd8\x3e\xd0\x34\x5b\x89\xfa\xfc\x9c\x26\x07\x7c\x14\xb6\xac\x51\x45\x4f\xa2\x6e\x44\x6e\x3a\x2f\x15\x3b\x2b\x16\x79\x7f" + } + , -- Example 3.2 + VectorPSS + { message = + "\x8b\x76\x95\x28\x88\x4a\x0d\x1f\xfd\x09\x0c\xf1\x02\x99\x3e\x79\x6d\xad\xcf\xbd\xdd\x38\xe4\x4f\xf6\x32\x4c\xa4\x51" + , salt = + "\xfc\xf9\xf0\xe1\xf1\x99\xa3\xd1\xd0\xda\x68\x1c\x5b\x86\x06\xfc\x64\x29\x39\xf7" + , signature = + "\x02\xa5\xf0\xa8\x58\xa0\x86\x4a\x4f\x65\x01\x7a\x7d\x69\x45\x4f\x3f\x97\x3a\x29\x99\x83\x9b\x7b\xbc\x48\xbf\x78\x64\x11\x69\x17\x95\x56\xf5\x95\xfa\x41\xf6\xff\x18\xe2\x86\xc2\x78\x30\x79\xbc\x09\x10\xee\x9c\xc3\x4f\x49\xba\x68\x11\x24\xf9\x23\xdf\xa8\x8f\x42\x61\x41\xa3\x68\xa5\xf5\xa9\x30\xc6\x28\xc2\xc3\xc2\x00\xe1\x8a\x76\x44\x72\x1a\x0c\xbe\xc6\xdd\x3f\x62\x79\xbd\xe3\xe8\xf2\xbe\x5e\x2d\x4e\xe5\x6f\x97\xe7\xce\xaf\x33\x05\x4b\xe7\x04\x2b\xd9\x1a\x63\xbb\x09\xf8\x97\xbd\x41\xe8\x11\x97\xde\xe9\x9b\x11\xaf" + } + , -- Example 3.3 + VectorPSS + { message = + "\x1a\xbd\xba\x48\x9c\x5a\xda\x2f\x99\x5e\xd1\x6f\x19\xd5\xa9\x4d\x9e\x6e\xc3\x4a\x8d\x84\xf8\x45\x57\xd2\x6e\x5e\xf9\xb0\x2b\x22\x88\x7e\x3f\x9a\x4b\x69\x0a\xd1\x14\x92\x09\xc2\x0c\x61\x43\x1f\x0c\x01\x7c\x36\xc2\x65\x7b\x35\xd7\xb0\x7d\x3f\x5a\xd8\x70\x85\x07\xa9\xc1\xb8\x31\xdf\x83\x5a\x56\xf8\x31\x07\x18\x14\xea\x5d\x3d\x8d\x8f\x6a\xde\x40\xcb\xa3\x8b\x42\xdb\x7a\x2d\x3d\x7a\x29\xc8\xf0\xa7\x9a\x78\x38\xcf\x58\xa9\x75\x7f\xa2\xfe\x4c\x40\xdf\x9b\xaa\x19\x3b\xfc\x6f\x92\xb1\x23\xad\x57\xb0\x7a\xce\x3e\x6a\xc0\x68\xc9\xf1\x06\xaf\xd9\xee\xb0\x3b\x4f\x37\xc2\x5d\xbf\xbc\xfb\x30\x71\xf6\xf9\x77\x17\x66\xd0\x72\xf3\xbb\x07\x0a\xf6\x60\x55\x32\x97\x3a\xe2\x50\x51" + , salt = + "\x98\x6e\x7c\x43\xdb\xb6\x71\xbd\x41\xb9\xa7\xf4\xb6\xaf\xc8\x0e\x80\x5f\x24\x23" + , signature = + "\x02\x44\xbc\xd1\xc8\xc1\x69\x55\x73\x6c\x80\x3b\xe4\x01\x27\x2e\x18\xcb\x99\x08\x11\xb1\x4f\x72\xdb\x96\x41\x24\xd5\xfa\x76\x06\x49\xcb\xb5\x7a\xfb\x87\x55\xdb\xb6\x2b\xf5\x1f\x46\x6c\xf2\x3a\x0a\x16\x07\x57\x6e\x98\x3d\x77\x8f\xce\xff\xa9\x2d\xf7\x54\x8a\xea\x8e\xa4\xec\xad\x2c\x29\xdd\x9f\x95\xbc\x07\xfe\x91\xec\xf8\xbe\xe2\x55\xbf\xe8\x76\x2f\xd7\x69\x0a\xa9\xbf\xa4\xfa\x08\x49\xef\x72\x8c\x2c\x42\xc4\x53\x23\x64\x52\x2d\xf2\xab\x7f\x9f\x8a\x03\xb6\x3f\x7a\x49\x91\x75\x82\x86\x68\xf5\xef\x5a\x29\xe3\x80\x2c" + } + , -- Example 3.4 + VectorPSS + { message = + "\x8f\xb4\x31\xf5\xee\x79\x2b\x6c\x2a\xc7\xdb\x53\xcc\x42\x86\x55\xae\xb3\x2d\x03\xf4\xe8\x89\xc5\xc2\x5d\xe6\x83\xc4\x61\xb5\x3a\xcf\x89\xf9\xf8\xd3\xaa\xbd\xf6\xb9\xf0\xc2\xa1\xde\x12\xe1\x5b\x49\xed\xb3\x91\x9a\x65\x2f\xe9\x49\x1c\x25\xa7\xfc\xe1\xf7\x22\xc2\x54\x36\x08\xb6\x9d\xc3\x75\xec" + , salt = + "\xf8\x31\x2d\x9c\x8e\xea\x13\xec\x0a\x4c\x7b\x98\x12\x0c\x87\x50\x90\x87\xc4\x78" + , signature = + "\x01\x96\xf1\x2a\x00\x5b\x98\x12\x9c\x8d\xf1\x3c\x4c\xb1\x6f\x8a\xa8\x87\xd3\xc4\x0d\x96\xdf\x3a\x88\xe7\x53\x2e\xf3\x9c\xd9\x92\xf2\x73\xab\xc3\x70\xbc\x1b\xe6\xf0\x97\xcf\xeb\xbf\x01\x18\xfd\x9e\xf4\xb9\x27\x15\x5f\x3d\xf2\x2b\x90\x4d\x90\x70\x2d\x1f\x7b\xa7\xa5\x2b\xed\x8b\x89\x42\xf4\x12\xcd\x7b\xd6\x76\xc9\xd1\x8e\x17\x03\x91\xdc\xd3\x45\xc0\x6a\x73\x09\x64\xb3\xf3\x0b\xcc\xe0\xbb\x20\xba\x10\x6f\x9a\xb0\xee\xb3\x9c\xf8\xa6\x60\x7f\x75\xc0\x34\x7f\x0a\xf7\x9f\x16\xaf\xa0\x81\xd2\xc9\x2d\x1e\xe6\xf8\x36\xb8" + } + , -- Example 3.5 + VectorPSS + { message = + "\xfe\xf4\x16\x1d\xfa\xaf\x9c\x52\x95\x05\x1d\xfc\x1f\xf3\x81\x0c\x8c\x9e\xc2\xe8\x66\xf7\x07\x54\x22\xc8\xec\x42\x16\xa9\xc4\xff\x49\x42\x7d\x48\x3c\xae\x10\xc8\x53\x4a\x41\xb2\xfd\x15\xfe\xe0\x69\x60\xec\x6f\xb3\xf7\xa7\xe9\x4a\x2f\x8a\x2e\x3e\x43\xdc\x4a\x40\x57\x6c\x30\x97\xac\x95\x3b\x1d\xe8\x6f\x0b\x4e\xd3\x6d\x64\x4f\x23\xae\x14\x42\x55\x29\x62\x24\x64\xca\x0c\xbf\x0b\x17\x41\x34\x72\x38\x15\x7f\xab\x59\xe4\xde\x55\x24\x09\x6d\x62\xba\xec\x63\xac\x64" + , salt = + "\x50\x32\x7e\xfe\xc6\x29\x2f\x98\x01\x9f\xc6\x7a\x2a\x66\x38\x56\x3e\x9b\x6e\x2d" + , signature = + "\x02\x1e\xca\x3a\xb4\x89\x22\x64\xec\x22\x41\x1a\x75\x2d\x92\x22\x10\x76\xd4\xe0\x1c\x0e\x6f\x0d\xde\x9a\xfd\x26\xba\x5a\xcf\x6d\x73\x9e\xf9\x87\x54\x5d\x16\x68\x3e\x56\x74\xc9\xe7\x0f\x1d\xe6\x49\xd7\xe6\x1d\x48\xd0\xca\xeb\x4f\xb4\xd8\xb2\x4f\xba\x84\xa6\xe3\x10\x8f\xee\x7d\x07\x05\x97\x32\x66\xac\x52\x4b\x4a\xd2\x80\xf7\xae\x17\xdc\x59\xd9\x6d\x33\x51\x58\x6b\x5a\x3b\xdb\x89\x5d\x1e\x1f\x78\x20\xac\x61\x35\xd8\x75\x34\x80\x99\x83\x82\xba\x32\xb7\x34\x95\x59\x60\x8c\x38\x74\x52\x90\xa8\x5e\xf4\xe9\xf9\xbd\x83" + } + , -- Example 3.6 + VectorPSS + { message = + "\xef\xd2\x37\xbb\x09\x8a\x44\x3a\xee\xb2\xbf\x6c\x3f\x8c\x81\xb8\xc0\x1b\x7f\xcb\x3f\xeb" + , salt = + "\xb0\xde\x3f\xc2\x5b\x65\xf5\xaf\x96\xb1\xd5\xcc\x3b\x27\xd0\xc6\x05\x30\x87\xb3" + , signature = + "\x01\x2f\xaf\xec\x86\x2f\x56\xe9\xe9\x2f\x60\xab\x0c\x77\x82\x4f\x42\x99\xa0\xca\x73\x4e\xd2\x6e\x06\x44\xd5\xd2\x22\xc7\xf0\xbd\xe0\x39\x64\xf8\xe7\x0a\x5c\xb6\x5e\xd4\x4e\x44\xd5\x6a\xe0\xed\xf1\xff\x86\xca\x03\x2c\xc5\xdd\x44\x04\xdb\xb7\x6a\xb8\x54\x58\x6c\x44\xee\xd8\x33\x6d\x08\xd4\x57\xce\x6c\x03\x69\x3b\x45\xc0\xf1\xef\xef\x93\x62\x4b\x95\xb8\xec\x16\x9c\x61\x6d\x20\xe5\x53\x8e\xbc\x0b\x67\x37\xa6\xf8\x2b\x4b\xc0\x57\x09\x24\xfc\x6b\x35\x75\x9a\x33\x48\x42\x62\x79\xf8\xb3\xd7\x74\x4e\x2d\x22\x24\x26\xce" + } + ] + +-- ================================== +-- Example 8: A 1031-bit RSA Key Pair +-- ================================== + +rsaKey8 = + PrivateKey + { private_pub = + PublicKey + { public_n = + 0x495370a1fb18543c16d3631e3163255df62be6eee890d5f25509e4f778a8ea6fbbbcdf85dff64e0d972003ab3681fbba6dd41fd541829b2e582de9f2a4a4e0a2d0900bef4753db3cee0ee06c7dfae8b1d53b5953218f9cceea695b08668edeaadced9463b1d790d5ebf27e9115b46cad4d9a2b8efab0561b0810344739ada0733f + , public_e = 0x010001 + , public_size = 129 + } + , private_d = + 0x6c66ffe98980c38fcdeab5159898836165f4b4b817c4f6a8d486ee4ea9130fe9b9092bd136d184f95f504a607eac565846d2fdd6597a8967c7396ef95a6eeebb4578a643966dca4d8ee3de842de63279c618159c1ab54a89437b6a6120e4930afb52a4ba6ced8a4947ac64b30a3497cbe701c2d6266d517219ad0ec6d347dbe9 + , private_p = + 0x08dad7f11363faa623d5d6d5e8a319328d82190d7127d2846c439b0ab72619b0a43a95320e4ec34fc3a9cea876422305bd76c5ba7be9e2f410c8060645a1d29edb + , private_q = + 0x0847e732376fc7900f898ea82eb2b0fc418565fdae62f7d9ec4ce2217b97990dd272db157f99f63c0dcbb9fbacdbd4c4dadb6df67756358ca4174825b48f49706d + , private_dP = + 0x05c2a83c124b3621a2aa57ea2c3efe035eff4560f33ddebb7adab81fce69a0c8c2edc16520dda83d59a23be867963ac65f2cc710bbcfb96ee103deb771d105fd85 + , private_dQ = + 0x04cae8aa0d9faa165c87b682ec140b8ed3b50b24594b7a3b2c220b3669bb819f984f55310a1ae7823651d4a02e99447972595139363434e5e30a7e7d241551e1b9 + , private_qinv = + 0x07d3e47bf686600b11ac283ce88dbb3f6051e8efd04680e44c171ef531b80b2b7c39fc766320e2cf15d8d99820e96ff30dc69691839c4b40d7b06e45307dc91f3f + } + +vectorsKey8 = + [ -- Example 8.1 + VectorPSS + { message = + "\x81\x33\x2f\x4b\xe6\x29\x48\x41\x5e\xa1\xd8\x99\x79\x2e\xea\xcf\x6c\x6e\x1d\xb1\xda\x8b\xe1\x3b\x5c\xea\x41\xdb\x2f\xed\x46\x70\x92\xe1\xff\x39\x89\x14\xc7\x14\x25\x97\x75\xf5\x95\xf8\x54\x7f\x73\x56\x92\xa5\x75\xe6\x92\x3a\xf7\x8f\x22\xc6\x99\x7d\xdb\x90\xfb\x6f\x72\xd7\xbb\x0d\xd5\x74\x4a\x31\xde\xcd\x3d\xc3\x68\x58\x49\x83\x6e\xd3\x4a\xec\x59\x63\x04\xad\x11\x84\x3c\x4f\x88\x48\x9f\x20\x97\x35\xf5\xfb\x7f\xda\xf7\xce\xc8\xad\xdc\x58\x18\x16\x8f\x88\x0a\xcb\xf4\x90\xd5\x10\x05\xb7\xa8\xe8\x4e\x43\xe5\x42\x87\x97\x75\x71\xdd\x99\xee\xa4\xb1\x61\xeb\x2d\xf1\xf5\x10\x8f\x12\xa4\x14\x2a\x83\x32\x2e\xdb\x05\xa7\x54\x87\xa3\x43\x5c\x9a\x78\xce\x53\xed\x93\xbc\x55\x08\x57\xd7\xa9\xfb" + , salt = + "\x1d\x65\x49\x1d\x79\xc8\x64\xb3\x73\x00\x9b\xe6\xf6\xf2\x46\x7b\xac\x4c\x78\xfa" + , signature = + "\x02\x62\xac\x25\x4b\xfa\x77\xf3\xc1\xac\xa2\x2c\x51\x79\xf8\xf0\x40\x42\x2b\x3c\x5b\xaf\xd4\x0a\x8f\x21\xcf\x0f\xa5\xa6\x67\xcc\xd5\x99\x3d\x42\xdb\xaf\xb4\x09\xc5\x20\xe2\x5f\xce\x2b\x1e\xe1\xe7\x16\x57\x7f\x1e\xfa\x17\xf3\xda\x28\x05\x2f\x40\xf0\x41\x9b\x23\x10\x6d\x78\x45\xaa\xf0\x11\x25\xb6\x98\xe7\xa4\xdf\xe9\x2d\x39\x67\xbb\x00\xc4\xd0\xd3\x5b\xa3\x55\x2a\xb9\xa8\xb3\xee\xf0\x7c\x7f\xec\xdb\xc5\x42\x4a\xc4\xdb\x1e\x20\xcb\x37\xd0\xb2\x74\x47\x69\x94\x0e\xa9\x07\xe1\x7f\xbb\xca\x67\x3b\x20\x52\x23\x80\xc5" + } + , -- Example 8.2 + VectorPSS + { message = + "\xe2\xf9\x6e\xaf\x0e\x05\xe7\xba\x32\x6e\xcc\xa0\xba\x7f\xd2\xf7\xc0\x23\x56\xf3\xce\xde\x9d\x0f\xaa\xbf\x4f\xcc\x8e\x60\xa9\x73\xe5\x59\x5f\xd9\xea\x08" + , salt = + "\x43\x5c\x09\x8a\xa9\x90\x9e\xb2\x37\x7f\x12\x48\xb0\x91\xb6\x89\x87\xff\x18\x38" + , signature = + "\x27\x07\xb9\xad\x51\x15\xc5\x8c\x94\xe9\x32\xe8\xec\x0a\x28\x0f\x56\x33\x9e\x44\xa1\xb5\x8d\x4d\xdc\xff\x2f\x31\x2e\x5f\x34\xdc\xfe\x39\xe8\x9c\x6a\x94\xdc\xee\x86\xdb\xbd\xae\x5b\x79\xba\x4e\x08\x19\xa9\xe7\xbf\xd9\xd9\x82\xe7\xee\x6c\x86\xee\x68\x39\x6e\x8b\x3a\x14\xc9\xc8\xf3\x4b\x17\x8e\xb7\x41\xf9\xd3\xf1\x21\x10\x9b\xf5\xc8\x17\x2f\xad\xa2\xe7\x68\xf9\xea\x14\x33\x03\x2c\x00\x4a\x8a\xa0\x7e\xb9\x90\x00\x0a\x48\xdc\x94\xc8\xba\xc8\xaa\xbe\x2b\x09\xb1\xaa\x46\xc0\xa2\xaa\x0e\x12\xf6\x3f\xbb\xa7\x75\xba\x7e" + } + , -- Example 8.3 + VectorPSS + { message = + "\xe3\x5c\x6e\xd9\x8f\x64\xa6\xd5\xa6\x48\xfc\xab\x8a\xdb\x16\x33\x1d\xb3\x2e\x5d\x15\xc7\x4a\x40\xed\xf9\x4c\x3d\xc4\xa4\xde\x79\x2d\x19\x08\x89\xf2\x0f\x1e\x24\xed\x12\x05\x4a\x6b\x28\x79\x8f\xcb\x42\xd1\xc5\x48\x76\x9b\x73\x4c\x96\x37\x31\x42\x09\x2a\xed\x27\x76\x03\xf4\x73\x8d\xf4\xdc\x14\x46\x58\x6d\x0e\xc6\x4d\xa4\xfb\x60\x53\x6d\xb2\xae\x17\xfc\x7e\x3c\x04\xbb\xfb\xbb\xd9\x07\xbf\x11\x7c\x08\x63\x6f\xa1\x6f\x95\xf5\x1a\x62\x16\x93\x4d\x3e\x34\xf8\x50\x30\xf1\x7b\xbb\xc5\xba\x69\x14\x40\x58\xaf\xf0\x81\xe0\xb1\x9c\xf0\x3c\x17\x19\x5c\x5e\x88\x8b\xa5\x8f\x6f\xe0\xa0\x2e\x5c\x3b\xda\x97\x19\xa7" + , salt = + "\xc6\xeb\xbe\x76\xdf\x0c\x4a\xea\x32\xc4\x74\x17\x5b\x2f\x13\x68\x62\xd0\x45\x29" + , signature = + "\x2a\xd2\x05\x09\xd7\x8c\xf2\x6d\x1b\x6c\x40\x61\x46\x08\x6e\x4b\x0c\x91\xa9\x1c\x2b\xd1\x64\xc8\x7b\x96\x6b\x8f\xaa\x42\xaa\x0c\xa4\x46\x02\x23\x23\xba\x4b\x1a\x1b\x89\x70\x6d\x7f\x4c\x3b\xe5\x7d\x7b\x69\x70\x2d\x16\x8a\xb5\x95\x5e\xe2\x90\x35\x6b\x8c\x4a\x29\xed\x46\x7d\x54\x7e\xc2\x3c\xba\xdf\x28\x6c\xcb\x58\x63\xc6\x67\x9d\xa4\x67\xfc\x93\x24\xa1\x51\xc7\xec\x55\xaa\xc6\xdb\x40\x84\xf8\x27\x26\x82\x5c\xfe\x1a\xa4\x21\xbc\x64\x04\x9f\xb4\x2f\x23\x14\x8f\x9c\x25\xb2\xdc\x30\x04\x37\xc3\x8d\x42\x8a\xa7\x5f\x96" + } + , -- Example 8.4 + VectorPSS + { message = + "\xdb\xc5\xf7\x50\xa7\xa1\x4b\xe2\xb9\x3e\x83\x8d\x18\xd1\x4a\x86\x95\xe5\x2e\x8a\xdd\x9c\x0a\xc7\x33\xb8\xf5\x6d\x27\x47\xe5\x29\xa0\xcc\xa5\x32\xdd\x49\xb9\x02\xae\xfe\xd5\x14\x44\x7f\x9e\x81\xd1\x61\x95\xc2\x85\x38\x68\xcb\x9b\x30\xf7\xd0\xd4\x95\xc6\x9d\x01\xb5\xc5\xd5\x0b\x27\x04\x5d\xb3\x86\x6c\x23\x24\xa4\x4a\x11\x0b\x17\x17\x74\x6d\xe4\x57\xd1\xc8\xc4\x5c\x3c\xd2\xa9\x29\x70\xc3\xd5\x96\x32\x05\x5d\x4c\x98\xa4\x1d\x6e\x99\xe2\xa3\xdd\xd5\xf7\xf9\x97\x9a\xb3\xcd\x18\xf3\x75\x05\xd2\x51\x41\xde\x2a\x1b\xff\x17\xb3\xa7\xdc\xe9\x41\x9e\xcc\x38\x5c\xf1\x1d\x72\x84\x0f\x19\x95\x3f\xd0\x50\x92\x51\xf6\xca\xfd\xe2\x89\x3d\x0e\x75\xc7\x81\xba\x7a\x50\x12\xca\x40\x1a\x4f\xa9\x9e\x04\xb3\xc3\x24\x9f\x92\x6d\x5a\xfe\x82\xcc\x87\xda\xb2\x2c\x3c\x1b\x10\x5d\xe4\x8e\x34\xac\xe9\xc9\x12\x4e\x59\x59\x7a\xc7\xeb\xf8" + , salt = + "\x02\x1f\xdc\xc6\xeb\xb5\xe1\x9b\x1c\xb1\x6e\x9c\x67\xf2\x76\x81\x65\x7f\xe2\x0a" + , signature = + "\x1e\x24\xe6\xe5\x86\x28\xe5\x17\x50\x44\xa9\xeb\x6d\x83\x7d\x48\xaf\x12\x60\xb0\x52\x0e\x87\x32\x7d\xe7\x89\x7e\xe4\xd5\xb9\xf0\xdf\x0b\xe3\xe0\x9e\xd4\xde\xa8\xc1\x45\x4f\xf3\x42\x3b\xb0\x8e\x17\x93\x24\x5a\x9d\xf8\xbf\x6a\xb3\x96\x8c\x8e\xdd\xc3\xb5\x32\x85\x71\xc7\x7f\x09\x1c\xc5\x78\x57\x69\x12\xdf\xeb\xd1\x64\xb9\xde\x54\x54\xfe\x0b\xe1\xc1\xf6\x38\x5b\x32\x83\x60\xce\x67\xec\x7a\x05\xf6\xe3\x0e\xb4\x5c\x17\xc4\x8a\xc7\x00\x41\xd2\xca\xb6\x7f\x0a\x2a\xe7\xaa\xfd\xcc\x8d\x24\x5e\xa3\x44\x2a\x63\x00\xcc\xc7" + } + , -- Example 8.5 + VectorPSS + { message = + "\x04\xdc\x25\x1b\xe7\x2e\x88\xe5\x72\x34\x85\xb6\x38\x3a\x63\x7e\x2f\xef\xe0\x76\x60\xc5\x19\xa5\x60\xb8\xbc\x18\xbd\xed\xb8\x6e\xae\x23\x64\xea\x53\xba\x9d\xca\x6e\xb3\xd2\xe7\xd6\xb8\x06\xaf\x42\xb3\xe8\x7f\x29\x1b\x4a\x88\x81\xd5\xbf\x57\x2c\xc9\xa8\x5e\x19\xc8\x6a\xcb\x28\xf0\x98\xf9\xda\x03\x83\xc5\x66\xd3\xc0\xf5\x8c\xfd\x8f\x39\x5d\xcf\x60\x2e\x5c\xd4\x0e\x8c\x71\x83\xf7\x14\x99\x6e\x22\x97\xef" + , salt = + "\xc5\x58\xd7\x16\x7c\xbb\x45\x08\xad\xa0\x42\x97\x1e\x71\xb1\x37\x7e\xea\x42\x69" + , signature = + "\x33\x34\x1b\xa3\x57\x6a\x13\x0a\x50\xe2\xa5\xcf\x86\x79\x22\x43\x88\xd5\x69\x3f\x5a\xcc\xc2\x35\xac\x95\xad\xd6\x8e\x5e\xb1\xee\xc3\x16\x66\xd0\xca\x7a\x1c\xda\x6f\x70\xa1\xaa\x76\x2c\x05\x75\x2a\x51\x95\x0c\xdb\x8a\xf3\xc5\x37\x9f\x18\xcf\xe6\xb5\xbc\x55\xa4\x64\x82\x26\xa1\x5e\x91\x2e\xf1\x9a\xd7\x7a\xde\xea\x91\x1d\x67\xcf\xef\xd6\x9b\xa4\x3f\xa4\x11\x91\x35\xff\x64\x21\x17\xba\x98\x5a\x7e\x01\x00\x32\x5e\x95\x19\xf1\xca\x6a\x92\x16\xbd\xa0\x55\xb5\x78\x50\x15\x29\x11\x25\xe9\x0d\xcd\x07\xa2\xca\x96\x73\xee" + } + , -- Example 8.6 + VectorPSS + { message = + "\x0e\xa3\x7d\xf9\xa6\xfe\xa4\xa8\xb6\x10\x37\x3c\x24\xcf\x39\x0c\x20\xfa\x6e\x21\x35\xc4\x00\xc8\xa3\x4f\x5c\x18\x3a\x7e\x8e\xa4\xc9\xae\x09\x0e\xd3\x17\x59\xf4\x2d\xc7\x77\x19\xcc\xa4\x00\xec\xdc\xc5\x17\xac\xfc\x7a\xc6\x90\x26\x75\xb2\xef\x30\xc5\x09\x66\x5f\x33\x21\x48\x2f\xc6\x9a\x9f\xb5\x70\xd1\x5e\x01\xc8\x45\xd0\xd8\xe5\x0d\x2a\x24\xcb\xf1\xcf\x0e\x71\x49\x75\xa5\xdb\x7b\x18\xd9\xe9\xe9\xcb\x91\xb5\xcb\x16\x86\x90\x60\xed\x18\xb7\xb5\x62\x45\x50\x3f\x0c\xaf\x90\x35\x2b\x8d\xe8\x1c\xb5\xa1\xd9\xc6\x33\x60\x92\xf0\xcd" + , salt = + "\x76\xfd\x4e\x64\xfd\xc9\x8e\xb9\x27\xa0\x40\x3e\x35\xa0\x84\xe7\x6b\xa9\xf9\x2a" + , signature = + "\x1e\xd1\xd8\x48\xfb\x1e\xdb\x44\x12\x9b\xd9\xb3\x54\x79\x5a\xf9\x7a\x06\x9a\x7a\x00\xd0\x15\x10\x48\x59\x3e\x0c\x72\xc3\x51\x7f\xf9\xff\x2a\x41\xd0\xcb\x5a\x0a\xc8\x60\xd7\x36\xa1\x99\x70\x4f\x7c\xb6\xa5\x39\x86\xa8\x8b\xbd\x8a\xbc\xc0\x07\x6a\x2c\xe8\x47\x88\x00\x31\x52\x5d\x44\x9d\xa2\xac\x78\x35\x63\x74\xc5\x36\xe3\x43\xfa\xa7\xcb\xa4\x2a\x5a\xaa\x65\x06\x08\x77\x91\xc0\x6a\x8e\x98\x93\x35\xae\xd1\x9b\xfa\xb2\xd5\xe6\x7e\x27\xfb\x0c\x28\x75\xaf\x89\x6c\x21\xb6\xe8\xe7\x30\x9d\x04\xe4\xf6\x72\x7e\x69\x46\x3e" + } + ] + +doSignTest key i vector = it (show i) (actual `shouldBe` Right (signature vector)) + where + actual = + PSS.signWithSalt + (salt vector) + Nothing + PSS.defaultPSSParamsSHA1 + key + (message vector) + +doVerifyTest key i vector = it (show i) (actual `shouldBe` True) + where + actual = + PSS.verify + PSS.defaultPSSParamsSHA1 + (private_pub key) + (message vector) + (signature vector) + +-- | RSAVP1 (RFC 8017 section 5.2.2 step 1) refuses a signature representative +-- outside @[0, n-1]@, and section 8.1.2 step 1 passes the signature to it +-- unchanged. The modular exponentiation normalises the range away, so without +-- the check @s + n@ verifies exactly as well as @s@ whenever it still fits in +-- k octets: a third party can turn one valid signature into another without +-- the private key, over the same message. +signatureRangeTests :: Spec +signatureRangeTests = + describe "signature range" $ do + it "the signature itself verifies" $ + verify' s `shouldBe` True + it "the same signature plus n is refused" $ + verify' (i2ospOf_ k (os2ip s + modulus)) `shouldBe` False + it "a signature representative equal to the modulus is refused" $ + verify' (i2ospOf_ k modulus) `shouldBe` False + where + key = rsaKey1 + k = public_size (private_pub key) + modulus = public_n (private_pub key) + verify' = PSS.verify PSS.defaultPSSParamsSHA1 (private_pub key) (message vec) + -- the first vector whose signature can be shifted by n and still fit in k + -- octets + (vec, s) = + firstVector + [ (v, sg) + | v <- vectorsKey1 + , let sg = signature v + , os2ip sg + modulus < 2 ^ (8 * k) + ] + +-- | RFC 8017 9.1.2 step 6: the leftmost @8*emLen - emBits@ bits of the +-- leftmost octet of maskedDB have to be zero. Step 9 clears them in DB, +-- and clearing is not checking -- an encoding with one of them set used to +-- verify as though it were sound, because the bit that made it wrong was +-- thrown away before anything looked at it. +-- +-- Only the signer can produce such a thing, since it takes the private key +-- to sign a chosen encoding, so this is conformance rather than forgery. +-- The vectors are walked for one whose altered encoding stays below the +-- modulus, as the signature range tests above do, because an encoding at or +-- past it says nothing. +step6Tests :: Spec +step6Tests = describe "an encoding with a bit outside emBits set" $ do + it "the honest signature verifies, key 1024" $ + verifies rsaKey1 (fst (altered rsaKey1 vectorsKey1)) `shouldBe` True + it "and the altered one does not, key 1024" $ + verifies rsaKey1 (snd (altered rsaKey1 vectorsKey1)) `shouldBe` False + it "the honest signature verifies, key 1026" $ + verifies rsaKey3 (fst (altered rsaKey3 vectorsKey3)) `shouldBe` True + it "and the altered one does not, key 1026" $ + verifies rsaKey3 (snd (altered rsaKey3 vectorsKey3)) `shouldBe` False + it "key 1025 has no bits outside emBits to set" $ + forbidden (numBits (public_n (private_pub rsaKey2))) `shouldBe` 0 + where + verifies key (v, sg) = + PSS.verify PSS.defaultPSSParamsSHA1 (private_pub key) (message v) sg + + -- the bits of the leftmost octet the standard requires to be zero + forbidden bits = Bits.complement mask + where + mask = if sh > 0 then 0xff `Bits.shiftR` (8 - sh) else 0xff :: Word8 + sh = (bits - 1) Bits..&. 0x7 + + -- the first vector whose encoding, with a forbidden bit set, is still + -- below the modulus, paired as (honest, altered) + altered key vs = firstVector + [ ((v, signature v), (v, dp Nothing key em')) + | v <- vs + , let pub = private_pub key + em = ep pub (signature v) + bit = lowestSet (forbidden (numBits (public_n pub))) + em' = B.cons (B.head em Bits..|. bit) (B.tail em) + , B.head em Bits..&. forbidden (numBits (public_n pub)) == 0 + , os2ip em' < public_n pub + ] + + -- the forbidden bit worth setting is the lowest of them: it is the one + -- that adds least, and an encoding at or past the modulus proves nothing + lowestSet w = minimum ([2 ^ i | i <- [0 .. 7 :: Int], Bits.testBit w i]) + +spec :: Spec +spec = + describe "RSA-PSS" $ do + signatureRangeTests + step6Tests + describe "signature internal" $ do + doSignTest rsaKeyInt katZero vectorInt + describe "verify internal" $ do + doVerifyTest rsaKeyInt katZero vectorInt + describe "signature key 1024" $ + sequence_ $ + zipWith (doSignTest rsaKey1) [katZero ..] vectorsKey1 + describe "verify key 1024" $ + sequence_ $ + zipWith (doVerifyTest rsaKey1) [katZero ..] vectorsKey1 + describe "signature key 1025" $ + sequence_ $ + zipWith (doSignTest rsaKey2) [katZero ..] vectorsKey2 + describe "verify key 1025" $ + sequence_ $ + zipWith (doVerifyTest rsaKey2) [katZero ..] vectorsKey2 + describe "signature key 1026" $ + sequence_ $ + zipWith (doSignTest rsaKey3) [katZero ..] vectorsKey3 + describe "verify key 1026" $ + sequence_ $ + zipWith (doVerifyTest rsaKey3) [katZero ..] vectorsKey3 + describe "signature key 1031" $ + sequence_ $ + zipWith (doSignTest rsaKey8) [katZero ..] vectorsKey8 + describe "verify key 1031" $ + sequence_ $ + zipWith (doVerifyTest rsaKey8) [katZero ..] vectorsKey8 diff --git a/tests/PubKey/RSASpec.hs b/tests/PubKey/RSASpec.hs new file mode 100644 --- /dev/null +++ b/tests/PubKey/RSASpec.hs @@ -0,0 +1,306 @@ +{-# LANGUAGE OverloadedStrings #-} + +module PubKey.RSASpec (spec) where + +import Crypto.Hash +import Crypto.Number.ModArithmetic (inverse) +import Crypto.Number.Serialize (i2osp, i2ospOf_, os2ip) +import qualified Crypto.PubKey.RSA as RSA +import qualified Crypto.PubKey.RSA.PKCS15 as RSA +import Crypto.PubKey.RSA.Prim (ep) +import qualified Crypto.PubKey.RSA.Prim as Prim +import qualified Data.ByteString as B +import Data.Either + +import Imports + +data VectorRSA = VectorRSA + { size :: Int + , msg :: ByteString + , n :: Integer + , e :: Integer + , d :: Integer + , p :: Integer + , q :: Integer + , dP :: Integer + , dQ :: Integer + , qinv :: Integer + , sig :: Either RSA.Error ByteString + } + +vectorsSHA1 :: [VectorRSA] +vectorsSHA1 = + [ VectorRSA + { size = 2048 `div` 8 + , msg = "The quick brown fox jumps over the lazy dog" + , n = + 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 + , e = 0x10001 + , d = + 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 + , p = + 0x00f85bfcfe55af59445f21f67ab1d8617d1f84360556eeb660d5c466f29e4d2228f9cc3fde4c594ea97069a19c666b68b6d905b65738ae63de6c11f9181ee9262313e5165591651bb3abec192abbc8c3694550bcffa451a2e2d1976bf3ecbc4480354f8d8646133298156aaa626b8807c5295850f93686400835466b6a5ccec61b + , q = + 0x00cec28b22b1d37c6c60d25e9747cb1bebd1270f0306db56ed8533f392d6a0cfe6b3dde13789758cf89febac214ba96667e46599f89ca210dced550ca6092a854ff95dff80ea48ff1a83455f4bb93f2ececa782da03b85a789239e8be5264130628724ceab57c8f76e4c7e822bf4fbf334c7d32610bec65047433e0e3b636afe1b + , dP = + 0x52fe0a50c339514f33ab19be6e67ac4c2f97f2a55e236ef674f8a89e329ffbe64d731f749d76ca7e7c7e0fef3f9a6ce78d260784a600408736fdda8b60e8f0419088612a3ee7d695f7c171b78200d8abf8e9bdfe7f5e785beb45fa610c9eed151abb76c383ef2e5cfbeb24fcb68a426e741e7b108c53d859e5d39e5970a1f839 + , dQ = + 0x39ef91853b47038a6ae707d2642fa9b73e782f60adbf307085eeb4c5e496532b56234a4481a40ac870275da846c74506bf9d28b3dd501c618baf5548013185018fe2a301c0a48bb726297e367dc6129ba7685d8094ad32f0dea64295074f24fbb6dabd7e8daea686a5b09d512be89d91a09cae01eb332eb389480e3cddf2d119 + , qinv = + 0x09ce1fa29008ef4b9798e5b8ec213dbdfec4fab4403ebf4b8786ad401ef33bc880c40a990b0826f72415192a206a504b27d2ba45ca555706200ea8e7a9b42d4077e9e6e0d80d4144966c53a36d23d30d987322dcc0013efe8df3b6b5914a2ceefc22cc5de6d569731794e9894f18f11d36a79558dc4c3ae5db1ce9bd05e7bf2e + , sig = + Right + "\x56\x66\x99\x0f\xd4\xea\x2b\xe0\x6d\x46\x3b\x10\x99\x5b\x06\x32\x5e\xec\x29\xfe\xa4\x63\x4d\x54\xf6\x31\x74\x5d\x01\x5a\x67\x09\x2e\xa7\x02\x8a\x48\x00\x3c\x0d\xef\x04\xe7\x52\x46\xe0\xfa\xb1\x42\x26\x89\xe7\xec\x25\x44\x76\xa0\x86\x33\xb0\xbe\x22\x17\x88\x9b\x18\x4d\x3e\xc2\x9b\xd4\x61\x2b\x9e\xde\x08\x56\xf8\xd5\xee\xb8\x38\xf4\x3d\xda\x9a\xbb\x34\x58\x87\x71\x1d\x1a\x7e\xc7\x3d\x46\x39\x01\x79\x29\x8b\xa4\xcd\xce\xd7\xab\xcb\x2e\x94\x5c\xfd\x54\xcc\xef\x80\x31\xfc\x5e\x8f\xc2\x4d\x76\x1e\x4c\xbc\x50\x7a\x9b\x08\xae\x85\xeb\x6a\xe0\x80\xdc\xff\x60\x13\xb0\x31\x94\x14\x9d\x8f\x9f\x48\x38\xcf\x4c\x82\x9d\x3b\x68\xc6\xe4\xe9\x5d\x94\x74\xa2\xac\x1f\xb9\x84\x41\x86\x11\xeb\x2c\x50\x64\xd7\x00\xe0\x85\x21\x5a\xd7\xae\x9b\x4c\x8e\x6a\x92\x97\xac\xcc\xb8\x38\x4f\x41\xb9\x3d\xa9\xfe\x69\x8b\x04\x81\xad\xfb\x0f\x49\x74\xfe\x26\x9c\x86\x0c\xf3\xd1\x8e\xa1\xb5\xaf\xef\x85\x3d\xfe\xd0\x7c\xcf\x18\xe4\x0f\x14\x99\xea\x93\x61\x79\x16\xbf\x38\xac\xa2\xa2\xac\xac\x2d\xae\x21\x85\x71\x94\xda\x5d\xa1\x82\xa8\x76\x82\xe5\x2f" + } + , VectorRSA + { size = 360 `div` 8 + , msg = "The quick brown fox jumps over the lazy dog" + , n = + 0x00bc2d7481c83c8be55da4caeaf1a30dbf9a1226ba7443c0a66213180d3eb8e29c3162401b7be067dff8f571a8eb + , e = 0x10001 + , d = + 0x726fb62d82c707507a2d5055a6934136270d28ce350c3a36d89066e26fb54f5b33da0bc9a05c2084f2b39be4e1 + , p = 0x0e3ff89e1f95a461c9f5ee480fd7b13529a225f3ee07fb + , q = 0x0d349ebc89329b493c03451ad20155de9775df55c55fd1 + , dP = 0x00943adef9fb93a561967bab33f198c2c7414e777df997 + , dQ = 0x078de99ceb5392f7f327dfb97717a27ae2e4606dddaa71 + , qinv = 0x0c54d59eaa029844fb3fe33a180161590b1cb103cc668e + , sig = Left RSA.SignatureTooLong + } + , VectorRSA + { size = 368 `div` 8 + , msg = "The quick brown fox jumps over the lazy dog" + , n = + 0x009cff2fd20246e390d6860b48a3926e83086d1386f7147e9f195623cf8f18546ceb20d428b77e0748864c8f611cb7 + , e = 0x10001 + , d = + 0x0097706cbf6624dd448c3a36ce35c27d49762a4948ca33804178d2ff826f8d336aaed622801c8d76d442be371da841 + , p = 0x00d12519f81441069ab1a86c38e0065e9578a46e655d5a17 + , q = 0x00c02b485ac3ee241d57b6b282f830d7d5bf6f4de75c1661 + , dP = 0x00a1af4611444f34f4d88d7504cf23fd711e70382c42ec07 + , dQ = 0x04226a4219a90bf9dda33e9ff6bb0649c0fea20c723cc1 + , qinv = 0x5dd87bf3c1e295dcc8602859a7cd74f05a2fe91a9d5877 + , sig = + Right + "\x51\xe4\xdd\x98\xee\xd5\x06\xef\x7a\xa5\x3c\xaf\x29\x33\xa4\x91\xfa\x8b\xb8\x09\xcf\x3e\xa1\x64\x92\x71\xad\x7b\x3a\x83\xb2\xa0\x77\x94\x4e\x59\xdf\x69\x58\x2e\xc8\x8d\xa0\x70\xfe\x7d" + } + ] + +vectorToPrivate :: VectorRSA -> RSA.PrivateKey +vectorToPrivate vector = + RSA.PrivateKey + { RSA.private_pub = vectorToPublic vector + , RSA.private_d = d vector + , RSA.private_p = p vector + , RSA.private_q = q vector + , RSA.private_dP = dP vector + , RSA.private_dQ = dQ vector + , RSA.private_qinv = qinv vector + } + +vectorToPublic :: VectorRSA -> RSA.PublicKey +vectorToPublic vector = + RSA.PublicKey + { RSA.public_size = size vector + , RSA.public_n = n vector + , RSA.public_e = e vector + } + +vectorHasSignature :: VectorRSA -> Bool +vectorHasSignature = isRight . sig + +doSignatureTest :: Show a => a -> VectorRSA -> Spec +doSignatureTest i vector = it (show i) (actual `shouldBe` expected) + where + expected = sig vector + actual = RSA.sign Nothing (Just SHA1) (vectorToPrivate vector) (msg vector) + +doVerifyTest :: Show a => a -> VectorRSA -> Spec +doVerifyTest i vector = it (show i) (actual `shouldBe` True) + where + actual = RSA.verify (Just SHA1) (vectorToPublic vector) (msg vector) bs + bs = fromRight (error "doVerifyTest") $ sig vector + +-- | RFC 8017 section 8.2.2 step 1 requires a signature that is not exactly k +-- octets long, k being the modulus length, to be rejected, and RSAVP1 (section +-- 5.2.2 step 1) requires the same of a signature representative outside +-- [0, n-1]. Verification here re-encodes the expected signature and compares +-- it against the result of the public-key operation, which normalises both the +-- length and the range away: without those two checks a zero-padded signature +-- and @s + n@ verify just as well as @s@ itself. +doMalleabilityTest :: Show a => a -> VectorRSA -> Spec +doMalleabilityTest i vector = + describe (show i) $ do + it "the signature itself verifies" $ + verify' s `shouldBe` True + it "a leading zero octet is rejected" $ + verify' (B.cons 0 s) `shouldBe` False + it "a trailing zero octet is rejected" $ + verify' (B.snoc s 0) `shouldBe` False + it "s + n is rejected" $ + verify' (i2osp (os2ip s + n vector)) `shouldBe` False + it "an empty signature is rejected" $ + verify' B.empty `shouldBe` False + where + s = fromRight (error "doMalleabilityTest") $ sig vector + verify' = RSA.verify (Just SHA1) (vectorToPublic vector) (msg vector) + +-- | The checks RFC 8017 section 7.2.2 puts on an EME-PKCS1-v1_5 block: the +-- leading @00 02@, a padding string of at least eight nonzero octets, and the +-- @00@ that ends it. Nothing exercised unpad before, and the scan over the +-- padding is about to be rewritten, so pin the accepted and rejected shapes +-- down first. +unpadTests :: Spec +unpadTests = + describe "unpadding" $ do + accepts "the shortest permitted padding" (block 8 "hello") "hello" + accepts "a longer padding" (block 40 "hello") "hello" + accepts "an empty message" (block 8 "") "" + accepts "a message of one octet" (block 8 "x") "x" + rejects "a first octet that is not 00" $ + B.cons 1 (B.drop 1 (block 8 "hello")) + rejects "a second octet that is not 02" $ + B.concat [B.pack [0, 1], B.drop 2 (block 8 "hello")] + rejects "a padding string of seven octets" (block 7 "hello") + rejects "a padding string of no octets" (block 0 "hello") + rejects "a zero inside the first eight padding octets" $ + B.concat [B.pack [0, 2, 0xff, 0xff, 0], "hello"] + rejects "no octet ending the padding string" $ + B.concat [B.pack [0, 2], B.replicate 40 0xff] + rejects "an empty block" B.empty + rejects "a block of one octet" (B.singleton 0) + rejects "a block of two octets" (B.pack [0, 2]) + where + block padLen payload = + B.concat [B.pack [0, 2], B.replicate padLen 0xff, B.singleton 0, payload] + accepts name input expected = + it name (RSA.unpad input `shouldBe` Right expected) + rejects name input = + it + name + ( (RSA.unpad input :: Either RSA.Error ByteString) + `shouldBe` Left RSA.MessageNotRecognized + ) + +-- | RSADP (RFC 8017 section 5.1.2 step 1) refuses a ciphertext representative +-- outside @[0, n-1]@, and section 7.2.2 step 1 passes the ciphertext to it +-- unchanged. The modular exponentiation normalises the range away, so without +-- the check @c@ and @c + n@ decrypt to the same message whenever @c + n@ still +-- fits in k octets -- and then a ciphertext is not unique to its plaintext, +-- which is what a replay cache keyed on the ciphertext assumes. +ciphertextRangeTests :: Spec +ciphertextRangeTests = + describe "ciphertext range" $ do + it "the ciphertext itself decrypts" $ + decrypt' c `shouldBe` Right m + it "the same ciphertext plus n is refused" $ + decrypt' (i2ospOf_ k (os2ip c + modulus)) `shouldBe` sizeError + it "a ciphertext representative equal to the modulus is refused" $ + decrypt' (i2ospOf_ k modulus) `shouldBe` sizeError + where + vector = firstVector vectorsSHA1 + k = size vector + modulus = n vector + decrypt' ct = + RSA.decrypt Nothing (vectorToPrivate vector) ct :: Either RSA.Error ByteString + sizeError = Left RSA.MessageSizeIncorrect + + -- The padding string of an EME-PKCS1-v1_5 block is nonzero octets of the + -- encrypter's choosing, so the block can be built here and encrypted with + -- the public key. Whether c + n fits in k octets depends on the message; + -- with this modulus about a quarter of the candidates below do. + (m, c) = + firstVector + [ (msg', ct) + | i <- [1 .. 200 :: Int] + , let msg' = B.append "message " (B.replicate i 0x78) + , let block = + B.concat + [ B.pack [0, 2] + , B.replicate (k - 3 - B.length msg') 0xff + , B.pack [0] + , msg' + ] + , let ct = ep (vectorToPublic vector) block + , os2ip ct + modulus < 2 ^ (8 * k) + ] + +-- | Building a key from its two primes has to arrive at the key the vectors +-- carry -- the private exponent, both of its halves, and the inverse of one +-- prime modulo the other, which is the part worked out without the extended +-- Euclidean algorithm. +keyGenerationTests :: Spec +keyGenerationTests = + describe "generateWith" $ + zipWithM_ check [katZero ..] vectorsSHA1 + where + check i vector = + it (show i) $ + RSA.generateWith (p vector, q vector) (size vector) (e vector) + `shouldBe` Just (vectorToPublic vector, vectorToPrivate vector) + +-- | The blinder is a number and its inverse, and everything the blinding +-- does rests on that: the decryption multiplies by the one on the way in and +-- by the other on the way out, so an answer that comes back the same either +-- way is the pair being what it says it is. +blinderTests :: Spec +blinderTests = describe "blinder" $ do + prop "holds a number and its inverse" $ \testDRG -> + let key = vectorToPrivate (firstVector vectorsSHA1) + modulus = RSA.public_n (RSA.private_pub key) + RSA.Blinder r rm1 = withTestDRG testDRG $ RSA.generateBlinder modulus + in (r * rm1) `mod` modulus === 1 + prop "leaves the decryption where it was" $ \testDRG -> + let vector = firstVector vectorsSHA1 + key = vectorToPrivate vector + cipher = ep (vectorToPublic vector) (B.replicate 32 7) + blinder = + withTestDRG testDRG $ RSA.generateBlinder (RSA.public_n (RSA.private_pub key)) + in Prim.dp (Just blinder) key cipher === Prim.dp Nothing key cipher + +-- | The private exponent is the inverse of e modulo (p-1)(q-1), however it +-- is worked out. These are primes small enough to be quick and a spread of +-- exponents: prime ones, which have the arithmetic of e to themselves, a +-- composite one, which does not, and ones that share a factor with the +-- modulus and so have no inverse at all. +privateExponentTests :: Spec +privateExponentTests = describe "private exponent" $ do + it "is the inverse of e modulo phi" $ + [ (pr, qr, ex) + | (pr, qr) <- primePairs + , ex <- exponents + , let phi = (pr - 1) * (qr - 1) + , fmap (RSA.private_d . snd) (RSA.generateWith (pr, qr) 64 ex) + /= inverse ex phi + ] + `shouldBe` [] + where + primePairs = + [ (11, 13) + , (61, 53) + , (10007, 10009) + , (1000003, 1000033) + , + ( 0xfffffffffffffffffffffffffffffffeffffffffffffffff + , 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff + 4294967295 + ) + ] + exponents = [3, 5, 17, 257, 65537, 9, 15, 2] + +spec :: Spec +spec = do + keyGenerationTests + privateExponentTests + blinderTests + describe "SHA1" $ do + describe "signature" $ zipWithM_ doSignatureTest [katZero ..] vectorsSHA1 + describe "verify" $ + sequence_ $ + zipWith doVerifyTest [katZero ..] $ + filter vectorHasSignature vectorsSHA1 + describe "malleability" $ + sequence_ $ + zipWith doMalleabilityTest [katZero ..] $ + filter vectorHasSignature vectorsSHA1 + unpadTests + ciphertextRangeTests diff --git a/tests/PubKey/RabinSpec.hs b/tests/PubKey/RabinSpec.hs new file mode 100644 --- /dev/null +++ b/tests/PubKey/RabinSpec.hs @@ -0,0 +1,381 @@ +{-# LANGUAGE OverloadedStrings #-} + +module PubKey.RabinSpec (spec) where + +import qualified Data.ByteString as B + +import Crypto.Hash +import Crypto.Number.Serialize (i2osp, os2ip) +import qualified Crypto.PubKey.Rabin.Basic as BRabin +import qualified Crypto.PubKey.Rabin.Modified as MRabin +import qualified Crypto.PubKey.Rabin.OAEP as OAEP +import qualified Crypto.PubKey.Rabin.RW as RW +import Crypto.PubKey.Rabin.Types (Error (..)) +import Crypto.Random (drgNewTest, withDRG) +import Data.Bits (xor) + +import Imports + +basicRabinKey = + BRabin.PrivateKey + { BRabin.private_pub = + BRabin.PublicKey + { BRabin.public_n = + 0xc9c4b0df9db989d93df4137fc2de2a9cee2610523f7a450ecbbf252babe98fba2f8e389c3e420c081e18f584c5746ca43f77f6af1fc79161f8bf8fbcb9564779986ecbe656dd16740cb8e399c33ff1dcc679e73c9c98a58c65a8673b7de57290a2d3191cb27e29d627f7ec6e874b1406051ffe9181e4d90d1b487b100ad30685 + , BRabin.public_size = 128 + } + , BRabin.private_p = + 0xe071f231ab5912285a1f8db199795f5efdea4c32f646a3436eaec091ba853a3092216f26b539bbac1fe2ab2e4fbb20aad272a434a1e909bf6d3028aecae2a7b7 + , BRabin.private_q = + 0xe6229470dc7da58bfcd962f1b3ddcf52304efbfb91d31c8ed84dbae2380c1ad2e338a523b4250863a689b3f262f949bd7a9f1a603c36634bb932dd71bf5daba3 + , BRabin.private_a = + 0x65956653f711a63b776ce45862d4cd78f1ad7b1f8ed118bb8b5ea5fffd59762da5dc7c5298e236a8e45d5c93477cbc51f214b1cd1a4980eda859c1cb05e55666 + , BRabin.private_b = + -0x63126dd9c5d6b5215f62012885570e1306b6a47ec1c46553f3b13ceae869149d14544438dbb976800cd62fbb52266f9a6405bc91f192a462c974bc8a6f832e03 + } + +modifiedRabinKey = + MRabin.PrivateKey + { MRabin.private_pub = + MRabin.PublicKey + { MRabin.public_n = + 0x9461a6e7c55cb610f20fd9af5d642404a63332a8d7c4fe7aa559cbcaec691e7216eed5d9322cb6a8619c220a0241b44e0d0a7cefda01fb84e59722b4e842ab5e190d214424bbdfed6d523426fc57a28045dfbb6e8159123077c542c0278ee2daf2d8993e286bf709a10a948da6b13008441581a22233f0ad3d5ebc5858ff7be5 + , MRabin.public_size = 128 + } + , MRabin.private_p = + 0xc401e0ddbe565a8797292389bebb561c35eb019116ba25cc6c865a8d3d7bc599626ddf0bc4f575c22f89144fe99fc3300dd497ec2b7acc0221e729a61756b3f3 + , MRabin.private_q = + 0xc1cc0e35f23f5086691a18c755881e3fe6937581948b109f47605b45d055e7b352e19ff729dfb33fbecb1d28b115e590449e5e4e228ab1876d889d3d41d87ec7 + , MRabin.private_d = + 0x128c34dcf8ab96c21e41fb35ebac848094c666551af89fcf54ab39795d8d23ce42dddabb264596d50c33844140483689c1a14f9dfb403f709cb2e4569d08556b9267e6460e84c69beda1defabd0285c4852c288b7ac27b78987bd19da337a6b1c7b123476732d9c0f656cc62a17f70e8fe34516cfa85ce6475bddeae9ffa0926 + } + +rwKey = + RW.PrivateKey + { RW.private_pub = + RW.PublicKey + { RW.public_n = + 0x992db4c84564c68d4ee2fe0903d938b41e83bcac48dfe8f2219ccee2ccbdefda4cbeea9f1c98a515c5f39a458f5ea11bca97102aaa3d9ac69e000093024e7b968359287cdf57bdacff5df1893df3539c7e358f037d49b5c6ae7110ab8117220c73b6265987039c2c97078fccacdd3f5a560aff5076fdc3958c532db28ab9a855 + , RW.public_size = 128 + } + , RW.private_p = + 0xc144dd739c45397d61868ca944a9729a7ad34cf90466c8f5c98a88f5ab5e3288bcfd31d4af1d441d23a756a60abd4cf05c3e0b0053eb150166a327ae31e9347b + , RW.private_q = + 0xcae5a381f25a27ae2c359068753118fc384471cd6027e88b8b910306fb940781261089259a3c569546677aebd268704c767a071dbd4f50cb9f15fe448788856f + , RW.private_d = + 0x1325b69908ac98d1a9dc5fc1207b271683d07795891bfd1e443399dc5997bdfb4997dd53e39314a2b8be7348b1ebd4237952e2055547b358d3c000126049cf729ee5d4f0ea170b902e343a8ef0831900b963ba07a3176088ab2ab095db449d0052150d6be7b5402f459f17c759f6f043b06a5da64cb86bb910d340f7fa28fdce + } + +data EncryptionVector = EncryptionVector + { seed :: ByteString + , plainText :: ByteString + , cipherText :: ByteString + } + +data SignatureVector = SignatureVector + { message :: ByteString + , padding :: ByteString + , signature :: Integer + } + +basicRabinEncryptionVectors = + [ EncryptionVector + { plainText = + "\x75\x0c\x40\x47\xf5\x47\xe8\xe4\x14\x11\x85\x65\x23\x29\x8a\xc9\xba\xe2\x45\xef\xaf\x13\x97\xfb\xe5\x6f\x9d\xd5" + , seed = + "\x0c\xc7\x42\xce\x4a\x9b\x7f\x32\xf9\x51\xbc\xb2\x51\xef\xd9\x25\xfe\x4f\xe3\x5f" + , cipherText = + "\xaf\xc7\x03\xe3\x9d\x2f\x81\xc6\x3a\x80\x2a\xd1\x44\x26\x3f\x17\x0c\x0a\xe6\x48\x68\x98\x23\x14\x8f\x95\xd2\xce\xbb\xe7\x3f\x49\x34\x76\x1d\x99\x30\x7b\xeb\x84\xe5\x2a\x10\xd2\x1e\x11\x7e\x65\xe8\x88\x24\xc1\x12\xeb\x19\x0d\x97\xcd\x12\x25\x6b\x1f\x9b\x0c\x40\x40\xa3\x47\x00\xb7\x11\xf8\x50\x08\x51\x79\xe8\x1b\xd1\x77\xe0\x99\xa7\xe1\x5c\x63\xda\x29\xc7\xde\x28\x5d\x60\xed\x8e\xb2\x12\xd4\xfe\xb8\x1a\x5d\x17\x65\x80\x62\x6e\x65\x5c\x37\x07\x1c\xfa\xff\xe6\x21\xa5\x9f\xcd\x6a\x6a\xce\xa6\x96\xb2\xc5\x08\xe6" + } + ] + +basicRabinSignatureVectors = + [ SignatureVector + { message = + "\x75\x0c\x40\x47\xf5\x47\xe8\xe4\x14\x11\x85\x65\x23\x29\x8a\xc9\xba\xe2\x45\xef\xaf\x13\x97\xfb\xe5\x6f\x9d\xd5" + , padding = "\xe9\x87\x17\x15\xa2\xe4\x30\x15" + , signature = + 0xac95807bdd03ca975690151d39d23d75e5db2731c4ba30b83c3f3ea74709e4d4e340d7dab952356a76c9b8705b214e28d59f5bdc7c7fdff4e104569e30359b5c65c2dcd5b94db58505cd8b188267121700beebd7edbee492e374514646471b5c3fa252a2580dc7343f455683815d6d7c590dd3bcaa7df41d8b08197ccb183408 + } + ] + +modifiedRabinSignatureVectors = + [ SignatureVector + { message = + "\x75\x0c\x40\x47\xf5\x47\xe8\xe4\x14\x11\x85\x65\x23\x29\x8a\xc9\xba\xe2\x45\xef\xaf\x13\x97\xfb\xe5\x6f\x9d\xd5" + , padding = B.empty -- not used + , signature = + 0x278c7c269119218ab7f501ea53a97ab15a3a5a263c6daed8980abec78291e9729e0e3457731cdea8ec31a7566e93d10fc9b2615fe3e54f4533a5506ac24a3bd286e270324e538066f0ddf503f9b5e0c18e18379659834906ebd99c0d31588c66e70fc653bc8865b9239999cbd35704917d8647d1199286c533233e3e03582dd + } + ] + +rwEncryptionVectors = + [ EncryptionVector + { plainText = + "\x75\x0c\x40\x47\xf5\x47\xe8\xe4\x14\x11\x85\x65\x23\x29\x8a\xc9\xba\xe2\x45\xef\xaf\x13\x97\xfb\xe5\x6f\x9d\xd5" + , seed = + "\x0c\xc7\x42\xce\x4a\x9b\x7f\x32\xf9\x51\xbc\xb2\x51\xef\xd9\x25\xfe\x4f\xe3\x5f" + , cipherText = + "\x40\xc2\xe3\x36\xac\x46\x72\x8a\xaf\x33\x75\xe1\x27\xd0\x38\x40\xe2\x24\x4e\x20\xa7\x5d\x85\xd3\x74\x81\x21\xfd\xc9\x40\x90\x80\x8c\xed\x2d\xd3\x5b\xc4\xb7\xc9\x7c\x80\xa5\x2f\x63\x86\x34\x4e\x8c\x92\x07\x86\x9e\xda\xfd\xf8\x11\x83\x8a\x5a\x23\xc1\xe6\x77\x37\x5d\xf9\x5c\x60\xd1\x6d\xfd\x0c\x54\xd1\x00\xe9\xab\x97\x6d\x8e\x83\x8b\x6e\x1a\x38\x73\x43\xe2\x24\xc2\xe2\x4e\x74\x3f\xe4\x4d\xdd\x27\xed\xc7\x72\x88\xd3\x0f\x93\xb3\xdb\xa2\xb7\xaf\x6d\xe9\xab\x76\x53\x63\xf9\x62\xd7\x52\x44\x61\x60\x5d\x2e\x9b\xf7" + } + ] + +rwSignatureVectors = + [ SignatureVector + { message = + "\x75\x0c\x40\x47\xf5\x47\xe8\xe4\x14\x11\x85\x65\x23\x29\x8a\xc9\xba\xe2\x45\xef\xaf\x13\x97\xfb\xe5\x6f\x9d\xd5" + , padding = B.empty -- not used + , signature = + 0x1e57b554a8e83aacd9d4067f9535991e7db47803250cded5cc8af5458a6bb11fea852139e0afe143f9339dd94a518e354e702134d1ae222460127829d92e8bf6441336f5ae7044ec7b6c3ad8b9aeeb1ea02a49798e020cb5b558120bbb51f060eb1608ba68f90cac7edb1051c177d3bdbb99d1ad92e8d75d6f72f1d06f1d25be + } + ] + +doBasicRabinEncryptTest key i vector = it (show i) (actual `shouldBe` Right (cipherText vector)) + where + actual = + BRabin.encryptWithSeed + (seed vector) + (OAEP.defaultOAEPParams SHA1) + key + (plainText vector) + +doBasicRabinDecryptTest key i vector = it (show i) (actual `shouldBe` Just (plainText vector)) + where + actual = BRabin.decrypt (OAEP.defaultOAEPParams SHA1) key (cipherText vector) + +doBasicRabinSignTest key i vector = + it + (show i) + ( actual + `shouldBe` Right (BRabin.Signature ((os2ip $ padding vector), (signature vector))) + ) + where + actual = BRabin.signWith (padding vector) key SHA1 (message vector) + +doBasicRabinVerifyTest key i vector = it (show i) (actual `shouldBe` True) + where + actual = + BRabin.verify + key + SHA1 + (message vector) + (BRabin.Signature ((os2ip $ padding vector), (signature vector))) + +doModifiedRabinSignTest key i vector = it (show i) (actual `shouldBe` Right (signature vector)) + where + actual = MRabin.sign key SHA1 (message vector) + +doModifiedRabinVerifyTest key i vector = it (show i) (actual `shouldBe` True) + where + actual = MRabin.verify key SHA1 (message vector) (signature vector) + +doRwEncryptTest key i vector = it (show i) (actual `shouldBe` Right (cipherText vector)) + where + actual = + RW.encryptWithSeed + (seed vector) + (OAEP.defaultOAEPParams SHA1) + key + (plainText vector) + +doRwDecryptTest key i vector = it (show i) (actual `shouldBe` Just (plainText vector)) + where + actual = RW.decrypt (OAEP.defaultOAEPParams SHA1) key (cipherText vector) + +doRwSignTest key i vector = it (show i) (actual `shouldBe` Right (signature vector)) + where + actual = RW.sign key SHA1 (message vector) + +doRwVerifyTest key i vector = it (show i) (actual `shouldBe` True) + where + actual = RW.verify key SHA1 (message vector) (signature vector) + +-- | Squaring and the square roots that undo it both work modulo n, so a value +-- at or above the modulus behaves exactly like the value it reduces to, and so +-- does a negated one, @(-s)^2@ being @s^2@. Unless something checks the range, +-- @c + n@ decrypts to whatever @c@ decrypts to and @s + n@ verifies wherever +-- @s@ does -- a ciphertext is then not unique to its plaintext, and anyone can +-- turn one valid signature into another without the private key. A leading +-- zero octet is the same thing said in bytes. +rangeTests :: Spec +rangeTests = describe "value range" $ do + describe "Basic" $ do + it "decrypts a ciphertext it made" $ + basicDecrypt basicCipher `shouldBe` Just (plainText basicEnc) + it "refuses a ciphertext at or above the modulus" $ + basicDecrypt (i2osp (os2ip basicCipher + basicN)) `shouldBe` Nothing + it "refuses a ciphertext with a leading zero octet" $ + basicDecrypt (B.cons 0 basicCipher) `shouldBe` Nothing + it "verifies a signature it made" $ + basicVerify basicSig `shouldBe` True + it "refuses a signature at or above the modulus" $ + basicVerify (basicSig + basicN) `shouldBe` False + it "refuses a negated signature" $ + basicVerify (negate basicSig) `shouldBe` False + describe "Rabin-Williams" $ do + it "decrypts a ciphertext it made" $ + rwDecrypt rwCipher `shouldBe` Just (plainText rwEnc) + it "refuses a ciphertext at or above the modulus" $ + rwDecrypt (i2osp (os2ip rwCipher + rwN)) `shouldBe` Nothing + it "refuses a ciphertext with a leading zero octet" $ + rwDecrypt (B.cons 0 rwCipher) `shouldBe` Nothing + it "verifies a signature it made" $ + rwVerify rwSig `shouldBe` True + it "refuses a signature at or above the modulus" $ + rwVerify (rwSig + rwN) `shouldBe` False + it "refuses a negated signature" $ + rwVerify (negate rwSig) `shouldBe` False + describe "Modified" $ do + it "verifies a signature it made" $ + modVerify modSig `shouldBe` True + it "refuses a signature at or above the modulus" $ + modVerify (modSig + modN) `shouldBe` False + it "refuses a negated signature" $ + modVerify (negate modSig) `shouldBe` False + where + basicEnc = firstVector basicRabinEncryptionVectors + basicCipher = cipherText basicEnc + basicN = BRabin.public_n (BRabin.private_pub basicRabinKey) + basicDecrypt = BRabin.decrypt (OAEP.defaultOAEPParams SHA1) basicRabinKey + basicSigVec = firstVector basicRabinSignatureVectors + basicSig = signature basicSigVec + basicVerify s = + BRabin.verify + (BRabin.private_pub basicRabinKey) + SHA1 + (message basicSigVec) + (BRabin.Signature (os2ip (padding basicSigVec), s)) + + rwEnc = firstVector rwEncryptionVectors + rwCipher = cipherText rwEnc + rwN = RW.public_n (RW.private_pub rwKey) + rwDecrypt = RW.decrypt (OAEP.defaultOAEPParams SHA1) rwKey + rwSigVec = firstVector rwSignatureVectors + rwSig = signature rwSigVec + rwVerify = RW.verify (RW.private_pub rwKey) SHA1 (message rwSigVec) + + modN = MRabin.public_n (MRabin.private_pub modifiedRabinKey) + modSigVec = firstVector modifiedRabinSignatureVectors + modSig = signature modSigVec + modVerify = MRabin.verify (MRabin.private_pub modifiedRabinKey) SHA1 (message modSigVec) + +-- | Basic's signature carries the padding as an integer, so a padding whose +-- first octet is zero comes back one octet short and hashes to something else. +-- sign draws eight random octets, so about one signature in 256 was one its own +-- verify refused. +paddingTests :: Spec +paddingTests = describe "signature padding" $ do + it "refuses a padding that would not survive the signature" $ + BRabin.signWith + (B.cons 0 (B.drop 1 (padding sigVec))) + basicRabinKey + SHA1 + (message sigVec) + `shouldBe` Left InvalidParameters + it "verifies every signature it draws" $ + filter (not . verifies) signatures `shouldBe` [] + where + sigVec = firstVector basicRabinSignatureVectors + -- a fixed generator, so the same 400 paddings are drawn every run + signatures = + fst $ + withDRG (drgNewTest (1, 2, 3, 4, 5)) $ + replicateM 400 (BRabin.sign basicRabinKey SHA1 (message sigVec)) + verifies (Left _) = False + verifies (Right sig) = + BRabin.verify (BRabin.private_pub basicRabinKey) SHA1 (message sigVec) sig + +-- | EME-OAEP decoding accepts a block with the leading zero octet, the label +-- hash it expects, and an 01 octet ending the padding string; it refuses +-- everything else. The scan across that padding string and the comparison of +-- the label hash are about to be rewritten, so write down which blocks are +-- accepted and which are refused first. +oaepTests :: Spec +oaepTests = describe "OAEP" $ do + it "accepts a block it padded" $ + unpad' (block 43) `shouldBe` Right (msg 43) + it "accepts a message that fills the block" $ + unpad' (block 86) `shouldBe` Right (msg 86) + it "accepts a message of one octet, behind the longest padding" $ + unpad' (block 1) `shouldBe` Right (msg 1) + it "refuses a leading octet that is not zero" $ + unpad' (poke 0 1 (block 43)) `shouldBe` Left MessageNotRecognized + it "refuses a label hash that does not match" $ do + unpad' (flipBit 21 (block 43)) `shouldBe` Left MessageNotRecognized + unpad' (flipBit 40 (block 43)) `shouldBe` Left MessageNotRecognized + it "refuses a block with no octet ending the padding string" $ + -- every octet of db after the label hash is zero, so nothing separates + -- the padding from a message + unpad' (B.concat [B.take 21 (block 86), B.replicate 107 0]) + `shouldBe` Left MessageNotRecognized + it "refuses a corrupted masked seed" $ + unpad' (flipBit 3 (block 43)) `shouldBe` Left MessageNotRecognized + where + oaep = OAEP.defaultOAEPParams SHA1 + k = 128 + oaepSeed = B.replicate 20 0x5a + msg n = B.replicate n 0x41 + block n = case OAEP.pad oaepSeed oaep k (msg n) of + Right b -> b + Left e -> error (show e) + unpad' = OAEP.unpad oaep k + poke i w bs = B.concat [B.take i bs, B.singleton w, B.drop (i + 1) bs] + flipBit i bs = poke i (B.index bs i `xor` 1) bs + +spec :: Spec +spec = do + rangeTests + oaepTests + paddingTests + describe "Basic" $ do + describe "encrypt" $ + sequence_ $ + zipWith + (doBasicRabinEncryptTest $ BRabin.private_pub basicRabinKey) + [katZero ..] + basicRabinEncryptionVectors + describe "decrypt" $ + sequence_ $ + zipWith + (doBasicRabinDecryptTest basicRabinKey) + [katZero ..] + basicRabinEncryptionVectors + describe "sign" $ + sequence_ $ + zipWith + (doBasicRabinSignTest basicRabinKey) + [katZero ..] + basicRabinSignatureVectors + describe "verify" $ + sequence_ $ + zipWith + (doBasicRabinVerifyTest $ BRabin.private_pub basicRabinKey) + [katZero ..] + basicRabinSignatureVectors + describe "Modified" $ do + describe "sign" $ + sequence_ $ + zipWith + (doModifiedRabinSignTest modifiedRabinKey) + [katZero ..] + modifiedRabinSignatureVectors + describe "verify" $ + sequence_ $ + zipWith + (doModifiedRabinVerifyTest $ MRabin.private_pub modifiedRabinKey) + [katZero ..] + modifiedRabinSignatureVectors + describe "RW" $ do + describe "encrypt" $ + sequence_ $ + zipWith + (doRwEncryptTest $ RW.private_pub rwKey) + [katZero ..] + rwEncryptionVectors + describe "decrypt" $ + sequence_ $ + zipWith (doRwDecryptTest rwKey) [katZero ..] rwEncryptionVectors + describe "sign" $ zipWithM_ (doRwSignTest rwKey) [katZero ..] rwSignatureVectors + describe "verify" $ + sequence_ $ + zipWith (doRwVerifyTest $ RW.private_pub rwKey) [katZero ..] rwSignatureVectors diff --git a/tests/PubKey/SecrecySpec.hs b/tests/PubKey/SecrecySpec.hs new file mode 100644 --- /dev/null +++ b/tests/PubKey/SecrecySpec.hs @@ -0,0 +1,162 @@ +{-# LANGUAGE ExistentialQuantification #-} +-- | A key's 'Show' instance is what a log, a crash report and a test +-- failure all reach for, and none of those is a place to put a private +-- key. So the types that hold one do not print it, and the module below +-- holds them to that mechanically: the secret is rendered, and the +-- rendering must not appear in what 'show' returns. +module PubKey.SecrecySpec (spec) where + +import Data.List (isInfixOf) + +import Crypto.Debug (DebugShow, debugShow) +import Crypto.Error (CryptoFailable, throwCryptoError) +import qualified Crypto.PubKey.Curve448 as X448 +import qualified Crypto.PubKey.Curve25519 as X25519 +import qualified Crypto.PubKey.DH as DH +import qualified Crypto.PubKey.DSA as DSA +import qualified Crypto.PubKey.ECC.ECDSA as ECDSA +import qualified Crypto.PubKey.ECC.Types as ECC +import qualified Crypto.PubKey.Ed448 as Ed448 +import qualified Crypto.PubKey.Ed25519 as Ed25519 +import qualified Crypto.PubKey.RSA.Types as RSA +import qualified Crypto.PubKey.Rabin.Basic as Basic +import qualified Crypto.PubKey.Rabin.Modified as Modified +import qualified Crypto.PubKey.Rabin.RW as RW + +import qualified Data.ByteString as BS +import Data.Word (Word8) + +import Imports + +-- | Distinctive values, so that finding one in a rendering means it came +-- from the field it was put in and not from a coincidence of digits. +d1, d2, d3, d4, d5, d6 :: Integer +d1 = 0xd1d1d1d1d1d1d1d1d1d1d1d1d1d1d1d1d1d1d1d1d1d1d1d1d1d1d1d1d1d1d1d1 +d2 = 0xd2d2d2d2d2d2d2d2d2d2d2d2d2d2d2d2d2d2d2d2d2d2d2d2d2d2d2d2d2d2d2d2 +d3 = 0xd3d3d3d3d3d3d3d3d3d3d3d3d3d3d3d3d3d3d3d3d3d3d3d3d3d3d3d3d3d3d3d3 +d4 = 0xd4d4d4d4d4d4d4d4d4d4d4d4d4d4d4d4d4d4d4d4d4d4d4d4d4d4d4d4d4d4d4d4 +d5 = 0xd5d5d5d5d5d5d5d5d5d5d5d5d5d5d5d5d5d5d5d5d5d5d5d5d5d5d5d5d5d5d5d5 +d6 = 0xd6d6d6d6d6d6d6d6d6d6d6d6d6d6d6d6d6d6d6d6d6d6d6d6d6d6d6d6d6d6d6d6 + +rsaPub :: RSA.PublicKey +rsaPub = RSA.PublicKey{RSA.public_size = 32, RSA.public_n = 0xabc1, RSA.public_e = 0x10001} + +rsaPriv :: RSA.PrivateKey +rsaPriv = + RSA.PrivateKey + { RSA.private_pub = rsaPub + , RSA.private_d = d1 + , RSA.private_p = d2 + , RSA.private_q = d3 + , RSA.private_dP = d4 + , RSA.private_dQ = d5 + , RSA.private_qinv = d6 + } + +dsaParams :: DSA.Params +dsaParams = DSA.Params{DSA.params_p = 0xabc2, DSA.params_g = 2, DSA.params_q = 0xabc3} + +ecdsaCurve :: ECC.Curve +ecdsaCurve = ECC.getCurveByName ECC.SEC_p256r1 + +-- | Each entry names a value, what it renders to, and the secrets that +-- must not be findable in that rendering. +cases :: [(String, String, [Integer])] +cases = + [ ("RSA.PrivateKey", show rsaPriv, [d1, d2, d3, d4, d5, d6]) + , ("RSA.KeyPair", show (RSA.KeyPair rsaPriv), [d1, d2, d3, d4, d5, d6]) + , ("DSA.PrivateKey", show (DSA.PrivateKey dsaParams d1), [d1]) + , ("DSA.KeyPair", show (DSA.KeyPair dsaParams 0xabc4 d1), [d1]) + , ("ECDSA.PrivateKey", show (ECDSA.PrivateKey ecdsaCurve d1), [d1]) + , ("ECDSA.KeyPair", show (ECDSA.KeyPair ecdsaCurve ECC.PointO d1), [d1]) + , ("DH.PrivateNumber", show (DH.PrivateNumber d1), [d1]) + , + ( "Rabin.Basic.PrivateKey" + , show (Basic.PrivateKey (Basic.PublicKey 32 0xabc5) d1 d2 d3 d4) + , [d1, d2, d3, d4] + ) + , + ( "Rabin.Modified.PrivateKey" + , show (Modified.PrivateKey (Modified.PublicKey 32 0xabc6) d1 d2 d3) + , [d1, d2, d3] + ) + , + ( "Rabin.RW.PrivateKey" + , show (RW.PrivateKey (RW.PublicKey 32 0xabc7) d1 d2 d3) + , [d1, d2, d3] + ) + ] + +-- | The values above again, paired with what 'debugShow' makes of them and +-- with a reading of that back, which has to give the value returned. +data Reveal = forall a. (Show a, Read a, Eq a, DebugShow a) => Reveal a + +reveals :: [(String, Reveal, [Integer])] +reveals = + [ ("RSA.PrivateKey", Reveal rsaPriv, [d1, d2, d3, d4, d5, d6]) + , ("RSA.KeyPair", Reveal (RSA.KeyPair rsaPriv), [d1, d2, d3, d4, d5, d6]) + , ("DSA.PrivateKey", Reveal (DSA.PrivateKey dsaParams d1), [d1]) + , ("DSA.KeyPair", Reveal (DSA.KeyPair dsaParams 0xabc4 d1), [d1]) + , ("ECDSA.PrivateKey", Reveal (ECDSA.PrivateKey ecdsaCurve d1), [d1]) + , ("ECDSA.KeyPair", Reveal (ECDSA.KeyPair ecdsaCurve ECC.PointO d1), [d1]) + , ("DH.PrivateNumber", Reveal (DH.PrivateNumber d1), [d1]) + , + ( "Rabin.Basic.PrivateKey" + , Reveal (Basic.PrivateKey (Basic.PublicKey 32 0xabc5) d1 d2 d3 d4) + , [d1, d2, d3, d4] + ) + , + ( "Rabin.Modified.PrivateKey" + , Reveal (Modified.PrivateKey (Modified.PublicKey 32 0xabc6) d1 d2 d3) + , [d1, d2, d3] + ) + , + ( "Rabin.RW.PrivateKey" + , Reveal (RW.PrivateKey (RW.PublicKey 32 0xabc7) d1 d2 d3) + , [d1, d2, d3] + ) + ] + +-- | The keys that keep their secret in a @ScrubbedBytes@. Their 'Show' was +-- already silent; what is new is that 'debugShow' can speak. The bytes are +-- distinct and not 0 or 255, so finding the hexadecimal of one in a rendering +-- means it came from the key. +scrubbed :: [(String, String, String, String)] +scrubbed = + [ entry "Curve25519.SecretKey" 0x5a (X25519.secretKey . BS.replicate 32) + , entry "Curve448.SecretKey" 0x5b (X448.secretKey . BS.replicate 56) + , entry "Ed25519.SecretKey" 0x5c (Ed25519.secretKey . BS.replicate 32) + , entry "Ed448.SecretKey" 0x5d (Ed448.secretKey . BS.replicate 57) + ] + where + entry + :: (Show k, DebugShow k) + => String + -> Word8 + -> (Word8 -> CryptoFailable k) + -> (String, String, String, String) + entry name b mk = + let k = throwCryptoError (mk b) + in (name, show k, debugShow k, hex b ++ hex b) + hex :: Word8 -> String + hex b = [digit (b `div` 16), digit (b `mod` 16)] + digit n = "0123456789abcdef" !! fromIntegral n + +spec :: Spec +spec = do + describe "show does not print the secret" $ mapM_ check cases + describe "debugShow does print the secret" $ mapM_ reveal reveals + describe "debugShow round-trips through read" $ mapM_ roundTrip reveals + describe "a scrubbed secret key" $ mapM_ scrub scrubbed + where + check (name, rendered, secrets) = + it name $ + [s | s <- secrets, show s `isInfixOf` rendered] `shouldBe` [] + reveal (name, Reveal v, secrets) = + it name $ + [s | s <- secrets, not (show s `isInfixOf` debugShow v)] `shouldBe` [] + roundTrip (name, Reveal v, _) = + it name $ read (debugShow v) `shouldBe` v + scrub (name, shown, revealed, h) = describe name $ do + it "is not printed by show" $ (h `isInfixOf` shown) `shouldBe` False + it "is printed by debugShow" $ (h `isInfixOf` revealed) `shouldBe` True diff --git a/tests/RuntimeSpec.hs b/tests/RuntimeSpec.hs new file mode 100644 --- /dev/null +++ b/tests/RuntimeSpec.hs @@ -0,0 +1,7 @@ +module RuntimeSpec (spec) where + +import Crypto.System.CPU +import Test.Hspec + +spec :: Spec +spec = it "CPU" $ putStrLn (show processorOptions) diff --git a/tests/Salsa.hs b/tests/Salsa.hs deleted file mode 100644 --- a/tests/Salsa.hs +++ /dev/null @@ -1,100 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module Salsa (tests) where - -import qualified Data.ByteString as B -import qualified Crypto.Cipher.Salsa as Salsa - -import Imports - -type Vector = (Int, B.ByteString, B.ByteString, [(Int, B.ByteString)]) - -vectors :: [Vector] -vectors = - [ (20, key, iv - , [ (0, "\x99\xA8\xCC\xEC\x6C\x5B\x2A\x0B\x6E\x33\x6C\xB2\x06\x52\x24\x1C\x32\xB2\x4D\x34\xAC\xC0\x45\x7E\xF6\x79\x17\x8E\xDE\x7C\xF8\x05\x80\x5A\x93\x05\xC7\xC4\x99\x09\x68\x3B\xD1\xA8\x03\x32\x78\x17\x62\x7C\xA4\x6F\xE8\xB9\x29\xB6\xDF\x00\x12\xBD\x86\x41\x83\xBE") - , (192, "\x2D\x22\x6C\x11\xF4\x7B\x3C\x0C\xCD\x09\x59\xB6\x1F\x59\xD5\xCC\x30\xFC\xEF\x6D\xBB\x8C\xBB\x3D\xCC\x1C\xC2\x52\x04\xFC\xD4\x49\x8C\x37\x42\x6A\x63\xBE\xA3\x28\x2B\x1A\x8A\x0D\x60\xE1\x3E\xB2\xFE\x59\x24\x1A\x9F\x6A\xF4\x26\x68\x98\x66\xED\xC7\x69\xE1\xE6\x48\x2F\xE1\xC1\x28\xA1\x5C\x11\x23\xB5\x65\x5E\xD5\x46\xDF\x01\x4C\xE0\xC4\x55\xDB\xF5\xD3\xA1\x3D\x9C\xD4\xF0\xE2\xD1\xDA\xB9\xF1\x2F\xB6\x8C\x54\x42\x61\xD7\xF8\x8E\xAC\x1C\x6C\xBF\x99\x3F\xBB\xB8\xE0\xAA\x85\x10\xBF\xF8\xE7\x38\x35\xA1\xE8\x6E\xAD\xBB") - , (448, "\x05\x97\x18\x8A\x1C\x19\x25\x57\x69\xBE\x1C\x21\x03\x99\xAD\x17\x2E\xB4\x6C\x52\xF9\x2F\xD5\x41\xDF\x2E\xAD\x71\xB1\xFF\x8E\xA7\xAD\xD3\x80\xEC\x71\xA5\xFD\x7A\xDB\x51\x81\xEA\xDD\x18\x25\xEC\x02\x77\x9A\x45\x09\xBE\x58\x32\x70\x8C\xA2\x83\x6C\x16\x93\xA5") - ]) - , (20 - , "\x00\x53\xA6\xF9\x4C\x9F\xF2\x45\x98\xEB\x3E\x91\xE4\x37\x8A\xDD\x30\x83\xD6\x29\x7C\xCF\x22\x75\xC8\x1B\x6E\xC1\x14\x67\xBA\x0D" - , "\x0D\x74\xDB\x42\xA9\x10\x77\xDE" - , [ (0, "\xF5\xFA\xD5\x3F\x79\xF9\xDF\x58\xC4\xAE\xA0\xD0\xED\x9A\x96\x01\xF2\x78\x11\x2C\xA7\x18\x0D\x56\x5B\x42\x0A\x48\x01\x96\x70\xEA\xF2\x4C\xE4\x93\xA8\x62\x63\xF6\x77\xB4\x6A\xCE\x19\x24\x77\x3D\x2B\xB2\x55\x71\xE1\xAA\x85\x93\x75\x8F\xC3\x82\xB1\x28\x0B\x71") - , (65472, "\xB7\x0C\x50\x13\x9C\x63\x33\x2E\xF6\xE7\x7A\xC5\x43\x38\xA4\x07\x9B\x82\xBE\xC9\xF9\xA4\x03\xDF\xEA\x82\x1B\x83\xF7\x86\x07\x91\x65\x0E\xF1\xB2\x48\x9D\x05\x90\xB1\xDE\x77\x2E\xED\xA4\xE3\xBC\xD6\x0F\xA7\xCE\x9C\xD6\x23\xD9\xD2\xFD\x57\x58\xB8\x65\x3E\x70\x81\x58\x2C\x65\xD7\x56\x2B\x80\xAE\xC2\xF1\xA6\x73\xA9\xD0\x1C\x9F\x89\x2A\x23\xD4\x91\x9F\x6A\xB4\x7B\x91\x54\xE0\x8E\x69\x9B\x41\x17\xD7\xC6\x66\x47\x7B\x60\xF8\x39\x14\x81\x68\x2F\x5D\x95\xD9\x66\x23\xDB\xC4\x89\xD8\x8D\xAA\x69\x56\xB9\xF0\x64\x6B\x6E") - , (131008, "\xA1\x3F\xFA\x12\x08\xF8\xBF\x50\x90\x08\x86\xFA\xAB\x40\xFD\x10\xE8\xCA\xA3\x06\xE6\x3D\xF3\x95\x36\xA1\x56\x4F\xB7\x60\xB2\x42\xA9\xD6\xA4\x62\x8C\xDC\x87\x87\x62\x83\x4E\x27\xA5\x41\xDA\x2A\x5E\x3B\x34\x45\x98\x9C\x76\xF6\x11\xE0\xFE\xC6\xD9\x1A\xCA\xCC") - ]) - ] - where - key :: B.ByteString - key = "\xEA\xEB\xEC\xED\xEE\xEF\xF0\xF1\xF2\xF3\xF4\xF5\xF6\xF7\xF8\xF9\xFA\xFB\xFC\xFD\xFE\xFF\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09" - - iv = B.replicate 8 0 - -newtype RandomVector = RandomVector Vector - deriving (Show,Eq) - -instance Arbitrary RandomVector where - arbitrary = RandomVector <$> elements vectors - -tests = testGroup "Salsa" - [ testGroup "KAT" $ - zipWith (\i (r,k,n,e) -> testCase (show (i :: Int)) $ salsaRunSimple e r k n) [1..] vectors - , testProperty "generate-combine" salsaGenerateCombine - , testProperty "chunking-generate" salsaGenerateChunks - , testProperty "chunking-combine" salsaCombineChunks - ] - where - salsaRunSimple expected rounds key nonce = - let salsa = Salsa.initialize rounds key nonce - in map snd expected @=? salsaLoop 0 salsa expected - - salsaLoop _ _ [] = [] - salsaLoop current salsa (r@(ofs,expectBs):rs) - | current < ofs = - let (_, salsaNext) = Salsa.generate salsa (ofs - current) :: (ByteString, Salsa.State) - in salsaLoop ofs salsaNext (r:rs) - | current == ofs = - let (e, salsaNext) = Salsa.generate salsa (B.length expectBs) - in e : salsaLoop (current + B.length expectBs) salsaNext rs - | otherwise = error "internal error in salsaLoop" - - salsaGenerateCombine :: ChunkingLen0_127 -> RandomVector -> Int0_2901 -> Bool - salsaGenerateCombine (ChunkingLen0_127 ckLen) (RandomVector (rounds, key, iv, _)) (Int0_2901 nbBytes) = - let initSalsa = Salsa.initialize rounds key iv - in loop nbBytes ckLen initSalsa - where loop n [] salsa = loop n ckLen salsa - loop 0 _ _ = True - loop n (x:xs) salsa = - let len = min x n - (c1, next) = Salsa.generate salsa len - (c2, _) = Salsa.combine salsa (B.replicate len 0) - in if c1 == c2 then loop (n - len) xs next else False - - salsaGenerateChunks :: ChunkingLen -> RandomVector -> Bool - salsaGenerateChunks (ChunkingLen ckLen) (RandomVector (rounds, key, iv, _)) = - let initSalsa = Salsa.initialize rounds key iv - nbBytes = 1048 - (expected,_) = Salsa.generate initSalsa nbBytes - chunks = loop nbBytes ckLen (Salsa.initialize rounds key iv) - in expected == B.concat chunks - - where loop n [] salsa = loop n ckLen salsa - loop 0 _ _ = [] - loop n (x:xs) salsa = - let len = min x n - (c, next) = Salsa.generate salsa len - in c : loop (n - len) xs next - - salsaCombineChunks :: ChunkingLen -> RandomVector -> ArbitraryBS0_2901 -> Bool - salsaCombineChunks (ChunkingLen ckLen) (RandomVector (rounds, key, iv, _)) (ArbitraryBS0_2901 wholebs) = - let initSalsa = Salsa.initialize rounds key iv - (expected,_) = Salsa.combine initSalsa wholebs - chunks = loop wholebs ckLen initSalsa - in expected `propertyEq` B.concat chunks - - where loop bs [] salsa = loop bs ckLen salsa - loop bs (x:xs) salsa - | B.null bs = [] - | otherwise = - let (bs1, bs2) = B.splitAt (min x (B.length bs)) bs - (c, next) = Salsa.combine salsa bs1 - in c : loop bs2 xs next diff --git a/tests/Spec.hs b/tests/Spec.hs new file mode 100644 --- /dev/null +++ b/tests/Spec.hs @@ -0,0 +1,1 @@ +{-# OPTIONS_GHC -F -pgmF hspec-discover #-} diff --git a/tests/StreamCipher/ChaChaPoly1305Spec.hs b/tests/StreamCipher/ChaChaPoly1305Spec.hs new file mode 100644 --- /dev/null +++ b/tests/StreamCipher/ChaChaPoly1305Spec.hs @@ -0,0 +1,270 @@ +{-# LANGUAGE OverloadedStrings #-} + +module StreamCipher.ChaChaPoly1305Spec where + +import qualified Crypto.Cipher.ChaCha.Poly1305 as One +import qualified Crypto.Cipher.ChaChaPoly1305 as CP +import Crypto.Cipher.Types +import Crypto.Error +import Imports +import MAC.Poly1305Spec () + +import Data.Bits (xor) +import qualified Data.ByteArray as B (convert) +import qualified Data.ByteString as B + +plaintext + , aad + , key + , iv + , ivX + , ciphertext + , ciphertextX + , tag + , tagX + , nonce1 + , nonce2 + , nonce3 + , nonce4 + , nonce5 + , nonce6 + , nonce7 + , nonce8 + , nonce9 + , nonce10 + :: B.ByteString +plaintext = + "Ladies and Gentlemen of the class of '99: If I could offer you only one tip for the future, sunscreen would be it." +aad = "\x50\x51\x52\x53\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7" +key = + "\x80\x81\x82\x83\x84\x85\x86\x87\x88\x89\x8a\x8b\x8c\x8d\x8e\x8f\x90\x91\x92\x93\x94\x95\x96\x97\x98\x99\x9a\x9b\x9c\x9d\x9e\x9f" +iv = "\x40\x41\x42\x43\x44\x45\x46\x47" +ivX = B.pack [0x40 .. 0x57] +constant = "\x07\x00\x00\x00" +ciphertext = + "\xd3\x1a\x8d\x34\x64\x8e\x60\xdb\x7b\x86\xaf\xbc\x53\xef\x7e\xc2\xa4\xad\xed\x51\x29\x6e\x08\xfe\xa9\xe2\xb5\xa7\x36\xee\x62\xd6\x3d\xbe\xa4\x5e\x8c\xa9\x67\x12\x82\xfa\xfb\x69\xda\x92\x72\x8b\x1a\x71\xde\x0a\x9e\x06\x0b\x29\x05\xd6\xa5\xb6\x7e\xcd\x3b\x36\x92\xdd\xbd\x7f\x2d\x77\x8b\x8c\x98\x03\xae\xe3\x28\x09\x1b\x58\xfa\xb3\x24\xe4\xfa\xd6\x75\x94\x55\x85\x80\x8b\x48\x31\xd7\xbc\x3f\xf4\xde\xf0\x8e\x4b\x7a\x9d\xe5\x76\xd2\x65\x86\xce\xc6\x4b\x61\x16" +ciphertextX = + "\xbd\x6d\x17\x9d\x3e\x83\xd4\x3b\x95\x76\x57\x94\x93\xc0\xe9\x39\x57\x2a\x17\x00\x25\x2b\xfa\xcc\xbe\xd2\x90\x2c\x21\x39\x6c\xbb\x73\x1c\x7f\x1b\x0b\x4a\xa6\x44\x0b\xf3\xa8\x2f\x4e\xda\x7e\x39\xae\x64\xc6\x70\x8c\x54\xc2\x16\xcb\x96\xb7\x2e\x12\x13\xb4\x52\x2f\x8c\x9b\xa4\x0d\xb5\xd9\x45\xb1\x1b\x69\xb9\x82\xc1\xbb\x9e\x3f\x3f\xac\x2b\xc3\x69\x48\x8f\x76\xb2\x38\x35\x65\xd3\xff\xf9\x21\xf9\x66\x4c\x97\x63\x7d\xa9\x76\x88\x12\xf6\x15\xc6\x8b\x13\xb5\x2e" +tag = "\x1a\xe1\x0b\x59\x4f\x09\xe2\x6a\x7e\x90\x2e\xcb\xd0\x60\x06\x91" +tagX = "\xc0\x87\x59\x24\xc1\xc7\x98\x79\x47\xde\xaf\xd8\x78\x0a\xcf\x49" +nonce1 = "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" +nonce2 = "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" +nonce3 = "\xff\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" +nonce4 = "\x00\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" +nonce5 = "\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff" +nonce6 = "\x00\x00\x00\x00\x00\x00\x00\x00" +nonce7 = "\x01\x00\x00\x00\x00\x00\x00\x00" +nonce8 = "\xff\x00\x00\x00\x00\x00\x00\x00" +nonce9 = "\x00\x01\x00\x00\x00\x00\x00\x00" +nonce10 = "\xff\xff\xff\xff\xff\xff\xff\xff" + +a5key :: ByteString +a5key = + "\x1c\x92\x40\xa5\xeb\x55\xd3\x8a\xf3\x33\x88\x86\x04\xf6\xb5\xf0\x47\x39\x17\xc1\x40\x2b\x80\x09\x9d\xca\x5c\xbc\x20\x70\x75\xc0" + +a5nonce :: ByteString +a5nonce = "\x00\x00\x00\x00\x01\x02\x03\x04\x05\x06\x07\x08" + +a5aad :: ByteString +a5aad = "\xf3\x33\x88\x86\x00\x00\x00\x00\x00\x00\x4e\x91" + +a5cipher :: ByteString +a5cipher = + "\x64\xa0\x86\x15\x75\x86\x1a\xf4\x60\xf0\x62\xc7\x9b\xe6\x43\xbd\x5e\x80\x5c\xfd\x34\x5c\xf3\x89\xf1\x08\x67\x0a\xc7\x6c\x8c\xb2\x4c\x6c\xfc\x18\x75\x5d\x43\xee\xa0\x9e\xe9\x4e\x38\x2d\x26\xb0\xbd\xb7\xb7\x3c\x32\x1b\x01\x00\xd4\xf0\x3b\x7f\x35\x58\x94\xcf\x33\x2f\x83\x0e\x71\x0b\x97\xce\x98\xc8\xa8\x4a\xbd\x0b\x94\x81\x14\xad\x17\x6e\x00\x8d\x33\xbd\x60\xf9\x82\xb1\xff\x37\xc8\x55\x97\x97\xa0\x6e\xf4\xf0\xef\x61\xc1\x86\x32\x4e\x2b\x35\x06\x38\x36\x06\x90\x7b\x6a\x7c\x02\xb0\xf9\xf6\x15\x7b\x53\xc8\x67\xe4\xb9\x16\x6c\x76\x7b\x80\x4d\x46\xa5\x9b\x52\x16\xcd\xe7\xa4\xe9\x90\x40\xc5\xa4\x04\x33\x22\x5e\xe2\x82\xa1\xb0\xa0\x6c\x52\x3e\xaf\x45\x34\xd7\xf8\x3f\xa1\x15\x5b\x00\x47\x71\x8c\xbc\x54\x6a\x0d\x07\x2b\x04\xb3\x56\x4e\xea\x1b\x42\x22\x73\xf5\x48\x27\x1a\x0b\xb2\x31\x60\x53\xfa\x76\x99\x19\x55\xeb\xd6\x31\x59\x43\x4e\xce\xbb\x4e\x46\x6d\xae\x5a\x10\x73\xa6\x72\x76\x27\x09\x7a\x10\x49\xe6\x17\xd9\x1d\x36\x10\x94\xfa\x68\xf0\xff\x77\x98\x71\x30\x30\x5b\xea\xba\x2e\xda\x04\xdf\x99\x7b\x71\x4d\x6c\x6f\x2c\x29\xa6\xad\x5c\xb4\x02\x2b\x02\x70\x9b" + +a5plain :: ByteString +a5plain = + "\x49\x6e\x74\x65\x72\x6e\x65\x74\x2d\x44\x72\x61\x66\x74\x73\x20\x61\x72\x65\x20\x64\x72\x61\x66\x74\x20\x64\x6f\x63\x75\x6d\x65\x6e\x74\x73\x20\x76\x61\x6c\x69\x64\x20\x66\x6f\x72\x20\x61\x20\x6d\x61\x78\x69\x6d\x75\x6d\x20\x6f\x66\x20\x73\x69\x78\x20\x6d\x6f\x6e\x74\x68\x73\x20\x61\x6e\x64\x20\x6d\x61\x79\x20\x62\x65\x20\x75\x70\x64\x61\x74\x65\x64\x2c\x20\x72\x65\x70\x6c\x61\x63\x65\x64\x2c\x20\x6f\x72\x20\x6f\x62\x73\x6f\x6c\x65\x74\x65\x64\x20\x62\x79\x20\x6f\x74\x68\x65\x72\x20\x64\x6f\x63\x75\x6d\x65\x6e\x74\x73\x20\x61\x74\x20\x61\x6e\x79\x20\x74\x69\x6d\x65\x2e\x20\x49\x74\x20\x69\x73\x20\x69\x6e\x61\x70\x70\x72\x6f\x70\x72\x69\x61\x74\x65\x20\x74\x6f\x20\x75\x73\x65\x20\x49\x6e\x74\x65\x72\x6e\x65\x74\x2d\x44\x72\x61\x66\x74\x73\x20\x61\x73\x20\x72\x65\x66\x65\x72\x65\x6e\x63\x65\x20\x6d\x61\x74\x65\x72\x69\x61\x6c\x20\x6f\x72\x20\x74\x6f\x20\x63\x69\x74\x65\x20\x74\x68\x65\x6d\x20\x6f\x74\x68\x65\x72\x20\x74\x68\x61\x6e\x20\x61\x73\x20\x2f\xe2\x80\x9c\x77\x6f\x72\x6b\x20\x69\x6e\x20\x70\x72\x6f\x67\x72\x65\x73\x73\x2e\x2f\xe2\x80\x9d" + +a5tag :: ByteString +a5tag = "\xee\xad\x9d\x67\x89\x0c\xbb\x22\x39\x23\x36\xfe\xa1\x85\x1f\x38" + +rfc8439encrypt = ct `shouldBe` a5cipher + where + ct = case CP.aeadChacha20poly1305Init a5key a5nonce of + CryptoPassed st -> snd $ aeadSimpleEncrypt st a5aad a5plain 16 + _ -> "dummy" + +rfc8439decrypt = mpt `shouldBe` Just a5plain + where + mpt = case CP.aeadChacha20poly1305Init a5key a5nonce of + CryptoPassed st -> aeadSimpleDecrypt st a5aad a5cipher (AuthTag $ B.convert a5tag) + _ -> Nothing + +-- | The key is checked once, where it is made, and initializing cannot fail +-- after that. +keyTests :: Spec +keyTests = describe "key" $ do + it "takes thirty-two bytes" $ + passed (CP.key (B.replicate 32 0x41)) `shouldBe` True + it "refuses any other length" $ + [n | n <- [0, 1, 16, 31, 33, 64], passed (CP.key (B.replicate n 0x41))] + `shouldBe` [] + it "says which error" $ + -- Key has no Show, on purpose: it is key material + errorOf (CP.key (B.replicate 31 0x41)) + `shouldBe` Just CryptoError_KeySizeInvalid + it "and the AEAD entry point reports the same thing" $ + errorOf + (CP.aeadChacha20poly1305Init (B.replicate 31 0x41) (B.replicate 12 0x42)) + `shouldBe` Just CryptoError_KeySizeInvalid + it "a key that was taken initializes without an error case" $ do + let k = throwCryptoError (CP.key (B.replicate 32 0x41)) + n = throwCryptoError (CP.nonce12 (B.replicate 12 0x42)) + st = CP.initialize k n + (out, st') = CP.encrypt ("hello" :: B.ByteString) (CP.finalizeAAD st) + B.length out `shouldBe` 5 + B.length (B.convert (CP.finalize st') :: B.ByteString) `shouldBe` 16 + where + passed (CryptoPassed _) = True + passed (CryptoFailed _) = False + errorOf (CryptoFailed e) = Just e + errorOf (CryptoPassed _) = Nothing + +spec :: Spec +spec = do + keyTests + it "V1" runEncrypt + it "V1-decrypt" runDecrypt + it "V1-extended" runEncryptX + it "V1-extended-decrypt" runDecryptX + it "nonce increment" runNonceInc + it "RFC8439 A5 enc" rfc8439encrypt + it "RFC8439 A5 dec" rfc8439decrypt + oneShotTests + where + runEncrypt = + let ini = + CP.initialize + (throwCryptoError $ CP.key key) + (throwCryptoError $ CP.nonce8 constant iv) + afterAAD = CP.finalizeAAD (CP.appendAAD aad ini) + (out, afterEncrypt) = CP.encrypt plaintext afterAAD + outtag = CP.finalize afterEncrypt + in propertyHoldCase + [ eqTest "ciphertext" ciphertext out + , eqTest "tag" tag (B.convert outtag) + ] + runEncryptX = + let ini = + CP.initializeX + (throwCryptoError $ CP.key key) + (throwCryptoError $ CP.nonce24 ivX) + afterAAD = CP.finalizeAAD (CP.appendAAD aad ini) + (out, afterEncrypt) = CP.encrypt plaintext afterAAD + outtag = CP.finalize afterEncrypt + in propertyHoldCase + [ eqTest "ciphertext" ciphertextX out + , eqTest "tag" tagX (B.convert outtag) + ] + + runDecrypt = + let ini = + CP.initialize + (throwCryptoError $ CP.key key) + (throwCryptoError $ CP.nonce8 constant iv) + afterAAD = CP.finalizeAAD (CP.appendAAD aad ini) + (out, afterDecrypt) = CP.decrypt ciphertext afterAAD + outtag = CP.finalize afterDecrypt + in propertyHoldCase + [ eqTest "plaintext" plaintext out + , eqTest "tag" tag (B.convert outtag) + ] + + runDecryptX = + let ini = + CP.initializeX + (throwCryptoError $ CP.key key) + (throwCryptoError $ CP.nonce24 ivX) + afterAAD = CP.finalizeAAD (CP.appendAAD aad ini) + (out, afterDecrypt) = CP.decrypt ciphertextX afterAAD + outtag = CP.finalize afterDecrypt + in propertyHoldCase + [ eqTest "plaintext" plaintext out + , eqTest "tag" tagX (B.convert outtag) + ] + + runNonceInc = + let n1 = throwCryptoError . CP.nonce12 $ nonce1 + n3 = throwCryptoError . CP.nonce12 $ nonce3 + n5 = throwCryptoError . CP.nonce12 $ nonce5 + n6 = throwCryptoError . CP.nonce8 constant $ nonce6 + n8 = throwCryptoError . CP.nonce8 constant $ nonce8 + n10 = throwCryptoError . CP.nonce8 constant $ nonce10 + in propertyHoldCase + [ eqTest "nonce12a" nonce2 $ B.convert . CP.incrementNonce $ n1 + , eqTest "nonce12b" nonce4 $ B.convert . CP.incrementNonce $ n3 + , eqTest "nonce12c" nonce1 $ B.convert . CP.incrementNonce $ n5 + , eqTest "nonce8a" (B.concat [constant, nonce7]) $ + B.convert . CP.incrementNonce $ + n6 + , eqTest "nonce8b" (B.concat [constant, nonce9]) $ + B.convert . CP.incrementNonce $ + n8 + , eqTest "nonce8c" (B.concat [constant, nonce6]) $ + B.convert . CP.incrementNonce $ + n10 + ] + +-- | Crypto.Cipher.ChaCha.Poly1305 does a whole message in one call where +-- Crypto.Cipher.ChaChaPoly1305 does it in steps. It has to answer exactly +-- what the steps answer, and what RFC 8439 prints. +oneShotTests :: Spec +oneShotTests = describe "Crypto.Cipher.ChaCha.Poly1305" $ do + it "RFC 8439 2.8.2, twelve-byte nonce" $ + propertyHoldCase + [ eqTest "ciphertext" ciphertext (B.take (B.length ciphertext) sealed) + , eqTest "tag" tag (B.drop (B.length ciphertext) sealed) + ] + it "decrypt undoes encrypt" $ + One.decrypt ctx nonce12 aad sealed 16 `shouldBe` Just plaintext + it "refuses a flipped bit in the ciphertext" $ + One.decrypt ctx nonce12 aad (flipHead sealed) 16 + `shouldBe` (Nothing :: Maybe B.ByteString) + it "refuses a flipped bit in the tag" $ + One.decrypt ctx nonce12 aad (flipLast sealed) 16 + `shouldBe` (Nothing :: Maybe B.ByteString) + it "refuses input shorter than the tag" $ + One.decrypt ctx nonce12 aad (B.replicate 8 0) 16 + `shouldBe` (Nothing :: Maybe B.ByteString) + it "refuses a ciphertext with no authentication tag" $ + One.decrypt ctx nonce12 aad ciphertext 0 + `shouldBe` (Nothing :: Maybe B.ByteString) + it "does not authenticate an altered ciphertext with a zero-length tag" $ + One.decrypt ctx nonce12 aad (flipHead ciphertext) 0 + `shouldBe` (Nothing :: Maybe B.ByteString) + it "refuses a nonce that is not twelve bytes" $ do + One.decrypt ctx (B.replicate 10 0) aad sealed 16 + `shouldBe` (Nothing :: Maybe B.ByteString) + -- eight is the other ChaCha construction, not this AEAD + One.decrypt ctx (B.replicate 8 0) aad sealed 16 + `shouldBe` (Nothing :: Maybe B.ByteString) + it "decryptWithTag hands back the tag encrypt made" $ + case One.decryptWithTag ctx nonce12 aad (B.take (B.length ciphertext) sealed) 16 of + CryptoFailed e -> expectationFailure (show e) + CryptoPassed (body, t) -> + propertyHoldCase + [ eqTest "plaintext" plaintext body + , eqTest "tag" (AuthTag (B.convert tag)) t + ] + it "agrees with the step-at-a-time interface over a different message" $ + let msg = "another message, of a length that is not a multiple of 16" :: B.ByteString + ad = "\x01\x02\x03" :: B.ByteString + ini = CP.initialize (throwCryptoError $ CP.key key) + (throwCryptoError $ CP.nonce12 nonce12) + afterAAD = CP.finalizeAAD (CP.appendAAD ad ini) + (out, afterEnc) = CP.encrypt msg afterAAD + t = CP.finalize afterEnc + one = throwCryptoError (One.encrypt ctx nonce12 ad msg 16) :: B.ByteString + in propertyHoldCase + [ eqTest "ciphertext" out (B.take (B.length out) one) + , eqTest "tag" (B.convert t :: B.ByteString) (B.drop (B.length out) one) + ] + where + ctx = throwCryptoError (One.newContext key) + -- the same nonce the step interface builds from constant and iv + nonce12 = constant `B.append` iv + sealed = throwCryptoError (One.encrypt ctx nonce12 aad plaintext 16) :: B.ByteString + flipHead bs = B.cons (B.head bs `xor` 1) (B.tail bs) + flipLast bs = + B.snoc (B.init bs) (B.last bs `xor` 1) diff --git a/tests/StreamCipher/ChaChaSpec.hs b/tests/StreamCipher/ChaChaSpec.hs new file mode 100644 --- /dev/null +++ b/tests/StreamCipher/ChaChaSpec.hs @@ -0,0 +1,539 @@ +{-# LANGUAGE OverloadedStrings #-} + +module StreamCipher.ChaChaSpec (spec) where + +import qualified Crypto.Cipher.ChaCha as ChaCha +import Crypto.Hash (Digest, SHA256, hash) +import qualified Data.ByteArray as BA +import Imports + +import qualified Data.ByteString as B + +b8_128_k0_i0 = + "\xe2\x8a\x5f\xa4\xa6\x7f\x8c\x5d\xef\xed\x3e\x6f\xb7\x30\x34\x86\xaa\x84\x27\xd3\x14\x19\xa7\x29\x57\x2d\x77\x79\x53\x49\x11\x20\xb6\x4a\xb8\xe7\x2b\x8d\xeb\x85\xcd\x6a\xea\x7c\xb6\x08\x9a\x10\x18\x24\xbe\xeb\x08\x81\x4a\x42\x8a\xab\x1f\xa2\xc8\x16\x08\x1b\x8a\x26\xaf\x44\x8a\x1b\xa9\x06\x36\x8f\xd8\xc8\x38\x31\xc1\x8c\xec\x8c\xed\x81\x1a\x02\x8e\x67\x5b\x8d\x2b\xe8\xfc\xe0\x81\x16\x5c\xea\xe9\xf1\xd1\xb7\xa9\x75\x49\x77\x49\x48\x05\x69\xce\xb8\x3d\xe6\xa0\xa5\x87\xd4\x98\x4f\x19\x92\x5f\x5d\x33\x8e\x43\x0d" + +b12_128_k0_i0 = + "\xe1\x04\x7b\xa9\x47\x6b\xf8\xff\x31\x2c\x01\xb4\x34\x5a\x7d\x8c\xa5\x79\x2b\x0a\xd4\x67\x31\x3f\x1d\xc4\x12\xb5\xfd\xce\x32\x41\x0d\xea\x8b\x68\xbd\x77\x4c\x36\xa9\x20\xf0\x92\xa0\x4d\x3f\x95\x27\x4f\xbe\xff\x97\xbc\x84\x91\xfc\xef\x37\xf8\x59\x70\xb4\x50\x1d\x43\xb6\x1a\x8f\x7e\x19\xfc\xed\xde\xf3\x68\xae\x6b\xfb\x11\x10\x1b\xd9\xfd\x3e\x4d\x12\x7d\xe3\x0d\xb2\xdb\x1b\x47\x2e\x76\x42\x68\x03\xa4\x5e\x15\xb9\x62\x75\x19\x86\xef\x1d\x9d\x50\xf5\x98\xa5\xdc\xdc\x9f\xa5\x29\xa2\x83\x57\x99\x1e\x78\x4e\xa2\x0f" + +b20_128_k0_i0 = + "\x89\x67\x09\x52\x60\x83\x64\xfd\x00\xb2\xf9\x09\x36\xf0\x31\xc8\xe7\x56\xe1\x5d\xba\x04\xb8\x49\x3d\x00\x42\x92\x59\xb2\x0f\x46\xcc\x04\xf1\x11\x24\x6b\x6c\x2c\xe0\x66\xbe\x3b\xfb\x32\xd9\xaa\x0f\xdd\xfb\xc1\x21\x23\xd4\xb9\xe4\x4f\x34\xdc\xa0\x5a\x10\x3f\x6c\xd1\x35\xc2\x87\x8c\x83\x2b\x58\x96\xb1\x34\xf6\x14\x2a\x9d\x4d\x8d\x0d\x8f\x10\x26\xd2\x0a\x0a\x81\x51\x2c\xbc\xe6\xe9\x75\x8a\x71\x43\xd0\x21\x97\x80\x22\xa3\x84\x14\x1a\x80\xce\xa3\x06\x2f\x41\xf6\x7a\x75\x2e\x66\xad\x34\x11\x98\x4c\x78\x7e\x30\xad" + +b8_256_k0_i0 = + "\x3e\x00\xef\x2f\x89\x5f\x40\xd6\x7f\x5b\xb8\xe8\x1f\x09\xa5\xa1\x2c\x84\x0e\xc3\xce\x9a\x7f\x3b\x18\x1b\xe1\x88\xef\x71\x1a\x1e\x98\x4c\xe1\x72\xb9\x21\x6f\x41\x9f\x44\x53\x67\x45\x6d\x56\x19\x31\x4a\x42\xa3\xda\x86\xb0\x01\x38\x7b\xfd\xb8\x0e\x0c\xfe\x42\xd2\xae\xfa\x0d\xea\xa5\xc1\x51\xbf\x0a\xdb\x6c\x01\xf2\xa5\xad\xc0\xfd\x58\x12\x59\xf9\xa2\xaa\xdc\xf2\x0f\x8f\xd5\x66\xa2\x6b\x50\x32\xec\x38\xbb\xc5\xda\x98\xee\x0c\x6f\x56\x8b\x87\x2a\x65\xa0\x8a\xbf\x25\x1d\xeb\x21\xbb\x4b\x56\xe5\xd8\x82\x1e\x68\xaa" + +b12_256_k0_i0 = + "\x9b\xf4\x9a\x6a\x07\x55\xf9\x53\x81\x1f\xce\x12\x5f\x26\x83\xd5\x04\x29\xc3\xbb\x49\xe0\x74\x14\x7e\x00\x89\xa5\x2e\xae\x15\x5f\x05\x64\xf8\x79\xd2\x7a\xe3\xc0\x2c\xe8\x28\x34\xac\xfa\x8c\x79\x3a\x62\x9f\x2c\xa0\xde\x69\x19\x61\x0b\xe8\x2f\x41\x13\x26\xbe\x0b\xd5\x88\x41\x20\x3e\x74\xfe\x86\xfc\x71\x33\x8c\xe0\x17\x3d\xc6\x28\xeb\xb7\x19\xbd\xcb\xcc\x15\x15\x85\x21\x4c\xc0\x89\xb4\x42\x25\x8d\xcd\xa1\x4c\xf1\x11\xc6\x02\xb8\x97\x1b\x8c\xc8\x43\xe9\x1e\x46\xca\x90\x51\x51\xc0\x27\x44\xa6\xb0\x17\xe6\x93\x16" + +b20_256_k0_i0 = + "\x76\xb8\xe0\xad\xa0\xf1\x3d\x90\x40\x5d\x6a\xe5\x53\x86\xbd\x28\xbd\xd2\x19\xb8\xa0\x8d\xed\x1a\xa8\x36\xef\xcc\x8b\x77\x0d\xc7\xda\x41\x59\x7c\x51\x57\x48\x8d\x77\x24\xe0\x3f\xb8\xd8\x4a\x37\x6a\x43\xb8\xf4\x15\x18\xa1\x1c\xc3\x87\xb6\x69\xb2\xee\x65\x86\x9f\x07\xe7\xbe\x55\x51\x38\x7a\x98\xba\x97\x7c\x73\x2d\x08\x0d\xcb\x0f\x29\xa0\x48\xe3\x65\x69\x12\xc6\x53\x3e\x32\xee\x7a\xed\x29\xb7\x21\x76\x9c\xe6\x4e\x43\xd5\x71\x33\xb0\x74\xd8\x39\xd5\x31\xed\x1f\x28\x51\x0a\xfb\x45\xac\xe1\x0a\x1f\x4b\x79\x4d\x6f" + +-- XChaCha20 test vector from RFC draft: https://datatracker.ietf.org/doc/html/draft-arciszewski-xchacha + +xChaCha20_ExampleKAT = fst (ChaCha.combine initState plaintext) `shouldBe` expected + where + iv = B.pack $ [0x40 .. 0x56] ++ [0x58] + key = B.pack [0x80 .. 0x9f] + initState = ChaCha.initializeX 20 key iv + plaintext :: B.ByteString + plaintext = + "The dhole (pronounced \"dole\") is also known as the Asiatic wild dog, red dog, and whistling dog. It is about the size of a German shepherd but looks more like a long-legged fox. This highly elusive and skilled jumper is classified with wolves, coyotes, jackals, and foxes in the taxonomic family Canidae." + expected :: B.ByteString + expected = + "\x45\x59\xab\xba\x4e\x48\xc1\x61\x02\xe8\xbb\x2c\x05\xe6\x94\x7f\x50\xa7\x86\xde\x16\x2f\x9b\x0b\x7e\x59\x2a\x9b\x53\xd0\xd4\xe9\x8d\x8d\x64\x10\xd5\x40\xa1\xa6\x37\x5b\x26\xd8\x0d\xac\xe4\xfa\xb5\x23\x84\xc7\x31\xac\xbf\x16\xa5\x92\x3c\x0c\x48\xd3\x57\x5d\x4d\x0d\x2c\x67\x3b\x66\x6f\xaa\x73\x10\x61\x27\x77\x01\x09\x3a\x6b\xf7\xa1\x58\xa8\x86\x42\x92\xa4\x1c\x48\xe3\xa9\xb4\xc0\xda\xec\xe0\xf8\xd9\x8d\x0d\x7e\x05\xb3\x7a\x30\x7b\xbb\x66\x33\x31\x64\xec\x9e\x1b\x24\xea\x0d\x6c\x3f\xfd\xdc\xec\x4f\x68\xe7\x44\x30\x56\x19\x3a\x03\xc8\x10\xe1\x13\x44\xca\x06\xd8\xed\x8a\x2b\xfb\x1e\x8d\x48\xcf\xa6\xbc\x0e\xb4\xe2\x46\x4b\x74\x81\x42\x40\x7c\x9f\x43\x1a\xee\x76\x99\x60\xe1\x5b\xa8\xb9\x68\x90\x46\x6e\xf2\x45\x75\x99\x85\x23\x85\xc6\x61\xf7\x52\xce\x20\xf9\xda\x0c\x09\xab\x6b\x19\xdf\x74\xe7\x6a\x95\x96\x74\x46\xf8\xd0\xfd\x41\x5e\x7b\xee\x2a\x12\xa1\x14\xc2\x0e\xb5\x29\x2a\xe7\xa3\x49\xae\x57\x78\x20\xd5\x52\x0a\x1f\x3f\xb6\x2a\x17\xce\x6a\x7e\x68\xfa\x7c\x79\x11\x1d\x88\x60\x92\x0b\xc0\x48\xef\x43\xfe\x84\x48\x6c\xcb\x87\xc2\x5f\x0a\xe0\x45\xf0\xcc\xe1\xe7\x98\x9a\x9a\xa2\x20\xa2\x8b\xdd\x48\x27\xe7\x51\xa2\x4a\x6d\x5c\x62\xd7\x90\xa6\x63\x93\xb9\x31\x11\xc1\xa5\x5d\xd7\x42\x1a\x10\x18\x49\x74\xc7\xc5" + +rfc8439A2_1 = cipher' `shouldBe` cipher + where + key :: ByteString + key = + "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + nonce :: ByteString + nonce = "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + plain :: ByteString + plain = + "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + cipher :: ByteString + cipher = + "\x76\xb8\xe0\xad\xa0\xf1\x3d\x90\x40\x5d\x6a\xe5\x53\x86\xbd\x28\xbd\xd2\x19\xb8\xa0\x8d\xed\x1a\xa8\x36\xef\xcc\x8b\x77\x0d\xc7\xda\x41\x59\x7c\x51\x57\x48\x8d\x77\x24\xe0\x3f\xb8\xd8\x4a\x37\x6a\x43\xb8\xf4\x15\x18\xa1\x1c\xc3\x87\xb6\x69\xb2\xee\x65\x86" + cipher' = fst $ ChaCha.combine (ChaCha.initialize 20 key nonce) plain + +rfc8439A2_2 = cipher' `shouldBe` cipher + where + key :: ByteString + key = + "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x01" + nonce :: ByteString + nonce = "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02" + plain :: ByteString + plain = + "\x41\x6e\x79\x20\x73\x75\x62\x6d\x69\x73\x73\x69\x6f\x6e\x20\x74\x6f\x20\x74\x68\x65\x20\x49\x45\x54\x46\x20\x69\x6e\x74\x65\x6e\x64\x65\x64\x20\x62\x79\x20\x74\x68\x65\x20\x43\x6f\x6e\x74\x72\x69\x62\x75\x74\x6f\x72\x20\x66\x6f\x72\x20\x70\x75\x62\x6c\x69\x63\x61\x74\x69\x6f\x6e\x20\x61\x73\x20\x61\x6c\x6c\x20\x6f\x72\x20\x70\x61\x72\x74\x20\x6f\x66\x20\x61\x6e\x20\x49\x45\x54\x46\x20\x49\x6e\x74\x65\x72\x6e\x65\x74\x2d\x44\x72\x61\x66\x74\x20\x6f\x72\x20\x52\x46\x43\x20\x61\x6e\x64\x20\x61\x6e\x79\x20\x73\x74\x61\x74\x65\x6d\x65\x6e\x74\x20\x6d\x61\x64\x65\x20\x77\x69\x74\x68\x69\x6e\x20\x74\x68\x65\x20\x63\x6f\x6e\x74\x65\x78\x74\x20\x6f\x66\x20\x61\x6e\x20\x49\x45\x54\x46\x20\x61\x63\x74\x69\x76\x69\x74\x79\x20\x69\x73\x20\x63\x6f\x6e\x73\x69\x64\x65\x72\x65\x64\x20\x61\x6e\x20\x22\x49\x45\x54\x46\x20\x43\x6f\x6e\x74\x72\x69\x62\x75\x74\x69\x6f\x6e\x22\x2e\x20\x53\x75\x63\x68\x20\x73\x74\x61\x74\x65\x6d\x65\x6e\x74\x73\x20\x69\x6e\x63\x6c\x75\x64\x65\x20\x6f\x72\x61\x6c\x20\x73\x74\x61\x74\x65\x6d\x65\x6e\x74\x73\x20\x69\x6e\x20\x49\x45\x54\x46\x20\x73\x65\x73\x73\x69\x6f\x6e\x73\x2c\x20\x61\x73\x20\x77\x65\x6c\x6c\x20\x61\x73\x20\x77\x72\x69\x74\x74\x65\x6e\x20\x61\x6e\x64\x20\x65\x6c\x65\x63\x74\x72\x6f\x6e\x69\x63\x20\x63\x6f\x6d\x6d\x75\x6e\x69\x63\x61\x74\x69\x6f\x6e\x73\x20\x6d\x61\x64\x65\x20\x61\x74\x20\x61\x6e\x79\x20\x74\x69\x6d\x65\x20\x6f\x72\x20\x70\x6c\x61\x63\x65\x2c\x20\x77\x68\x69\x63\x68\x20\x61\x72\x65\x20\x61\x64\x64\x72\x65\x73\x73\x65\x64\x20\x74\x6f" + cipher :: ByteString + cipher = + "\xa3\xfb\xf0\x7d\xf3\xfa\x2f\xde\x4f\x37\x6c\xa2\x3e\x82\x73\x70\x41\x60\x5d\x9f\x4f\x4f\x57\xbd\x8c\xff\x2c\x1d\x4b\x79\x55\xec\x2a\x97\x94\x8b\xd3\x72\x29\x15\xc8\xf3\xd3\x37\xf7\xd3\x70\x05\x0e\x9e\x96\xd6\x47\xb7\xc3\x9f\x56\xe0\x31\xca\x5e\xb6\x25\x0d\x40\x42\xe0\x27\x85\xec\xec\xfa\x4b\x4b\xb5\xe8\xea\xd0\x44\x0e\x20\xb6\xe8\xdb\x09\xd8\x81\xa7\xc6\x13\x2f\x42\x0e\x52\x79\x50\x42\xbd\xfa\x77\x73\xd8\xa9\x05\x14\x47\xb3\x29\x1c\xe1\x41\x1c\x68\x04\x65\x55\x2a\xa6\xc4\x05\xb7\x76\x4d\x5e\x87\xbe\xa8\x5a\xd0\x0f\x84\x49\xed\x8f\x72\xd0\xd6\x62\xab\x05\x26\x91\xca\x66\x42\x4b\xc8\x6d\x2d\xf8\x0e\xa4\x1f\x43\xab\xf9\x37\xd3\x25\x9d\xc4\xb2\xd0\xdf\xb4\x8a\x6c\x91\x39\xdd\xd7\xf7\x69\x66\xe9\x28\xe6\x35\x55\x3b\xa7\x6c\x5c\x87\x9d\x7b\x35\xd4\x9e\xb2\xe6\x2b\x08\x71\xcd\xac\x63\x89\x39\xe2\x5e\x8a\x1e\x0e\xf9\xd5\x28\x0f\xa8\xca\x32\x8b\x35\x1c\x3c\x76\x59\x89\xcb\xcf\x3d\xaa\x8b\x6c\xcc\x3a\xaf\x9f\x39\x79\xc9\x2b\x37\x20\xfc\x88\xdc\x95\xed\x84\xa1\xbe\x05\x9c\x64\x99\xb9\xfd\xa2\x36\xe7\xe8\x18\xb0\x4b\x0b\xc3\x9c\x1e\x87\x6b\x19\x3b\xfe\x55\x69\x75\x3f\x88\x12\x8c\xc0\x8a\xaa\x9b\x63\xd1\xa1\x6f\x80\xef\x25\x54\xd7\x18\x9c\x41\x1f\x58\x69\xca\x52\xc5\xb8\x3f\xa3\x6f\xf2\x16\xb9\xc1\xd3\x00\x62\xbe\xbc\xfd\x2d\xc5\xbc\xe0\x91\x19\x34\xfd\xa7\x9a\x86\xf6\xe6\x98\xce\xd7\x59\xc3\xff\x9b\x64\x77\x33\x8f\x3d\xa4\xf9\xcd\x85\x14\xea\x99\x82\xcc\xaf\xb3\x41\xb2\x38\x4d\xd9\x02\xf3\xd1\xab\x7a\xc6\x1d\xd2\x9c\x6f\x21\xba\x5b\x86\x2f\x37\x30\xe3\x7c\xfd\xc4\xfd\x80\x6c\x22\xf2\x21" + cipher' = + fst $ + ChaCha.combine (ChaCha.setCounter32 1 (ChaCha.initialize 20 key nonce)) plain + +rfc8439A2_3 = cipher' `shouldBe` cipher + where + key :: ByteString + key = + "\x1c\x92\x40\xa5\xeb\x55\xd3\x8a\xf3\x33\x88\x86\x04\xf6\xb5\xf0\x47\x39\x17\xc1\x40\x2b\x80\x09\x9d\xca\x5c\xbc\x20\x70\x75\xc0" + nonce :: ByteString + nonce = "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02" + plain :: ByteString + plain = + "\x27\x54\x77\x61\x73\x20\x62\x72\x69\x6c\x6c\x69\x67\x2c\x20\x61\x6e\x64\x20\x74\x68\x65\x20\x73\x6c\x69\x74\x68\x79\x20\x74\x6f\x76\x65\x73\x0a\x44\x69\x64\x20\x67\x79\x72\x65\x20\x61\x6e\x64\x20\x67\x69\x6d\x62\x6c\x65\x20\x69\x6e\x20\x74\x68\x65\x20\x77\x61\x62\x65\x3a\x0a\x41\x6c\x6c\x20\x6d\x69\x6d\x73\x79\x20\x77\x65\x72\x65\x20\x74\x68\x65\x20\x62\x6f\x72\x6f\x67\x6f\x76\x65\x73\x2c\x0a\x41\x6e\x64\x20\x74\x68\x65\x20\x6d\x6f\x6d\x65\x20\x72\x61\x74\x68\x73\x20\x6f\x75\x74\x67\x72\x61\x62\x65\x2e" + cipher :: ByteString + cipher = + "\x62\xe6\x34\x7f\x95\xed\x87\xa4\x5f\xfa\xe7\x42\x6f\x27\xa1\xdf\x5f\xb6\x91\x10\x04\x4c\x0d\x73\x11\x8e\xff\xa9\x5b\x01\xe5\xcf\x16\x6d\x3d\xf2\xd7\x21\xca\xf9\xb2\x1e\x5f\xb1\x4c\x61\x68\x71\xfd\x84\xc5\x4f\x9d\x65\xb2\x83\x19\x6c\x7f\xe4\xf6\x05\x53\xeb\xf3\x9c\x64\x02\xc4\x22\x34\xe3\x2a\x35\x6b\x3e\x76\x43\x12\xa6\x1a\x55\x32\x05\x57\x16\xea\xd6\x96\x25\x68\xf8\x7d\x3f\x3f\x77\x04\xc6\xa8\xd1\xbc\xd1\xbf\x4d\x50\xd6\x15\x4b\x6d\xa7\x31\xb1\x87\xb5\x8d\xfd\x72\x8a\xfa\x36\x75\x7a\x79\x7a\xc1\x88\xd1" + cipher' = + fst $ + ChaCha.combine (ChaCha.setCounter32 42 (ChaCha.initialize 20 key nonce)) plain + +data Vector + = Vector + Int -- rounds + ByteString -- key + ByteString -- nonce + deriving (Show, Eq) + +-- The key length decides which of the two sets of constants the state is +-- built from, the nonce length whether the counter is 32 or 64 bits wide, +-- and the vector code paths are entered only at 20 rounds, so the +-- properties below are worth running over all of them rather than over one +-- corner. +instance Arbitrary Vector where + arbitrary = + Vector + <$> elements [8, 12, 20] + <*> (arbitraryBS =<< elements [16, 32]) + <*> (arbitraryBS =<< elements [8, 12]) + +-- | The keystream at lengths either side of the boundaries the bulk loops +-- have -- 192 bytes, where the vector code starts, 320 where it takes five +-- blocks at a time, and 512 where it takes six -- and at counters that are +-- not zero. The expected values are the SHA-256 of the keystream, from +-- OpenSSL 3.6.4 through EVP. +longVectors :: [(Word32, Int, ByteString)] +longVectors = + [ + ( 0 + , 191 + , "\x00\xd8\x21\x8c\x32\x59\xc5\x2e\xce\xc5\x72\xbf\x80\x73\x10\x5e\xdd\x01\x9f\xce\x8f\xc0\x0c\x31\x92\xd1\x1c\x97\x88\x5e\xf3\x6a" + ) + , + ( 0 + , 192 + , "\x21\x3f\x43\x21\x3a\x5d\xf2\x19\xf3\x25\x4c\x50\x7e\x09\x91\x78\x1d\xa7\x3e\x36\xe0\x40\x56\x9c\x9a\x88\x94\x8d\x80\xf8\x82\xb0" + ) + , + ( 0 + , 193 + , "\xf9\xf3\x5b\xb4\xe7\x20\x6c\xd9\xb7\xd3\x9d\xbb\x73\x1d\x0a\xbf\x98\x4d\xbe\x20\x20\x69\x77\x30\xe9\x33\x5e\xf2\x47\x9e\x16\x27" + ) + , + ( 0 + , 255 + , "\x2b\x14\xaa\x0e\xba\xf8\x28\x96\xc0\x58\x9a\x7f\x96\x82\x30\x9c\x6c\x58\x16\x56\xc1\xcc\xb5\xcc\xd1\x3e\x3b\x41\xd4\x0c\xe0\x62" + ) + , + ( 0 + , 256 + , "\x0e\x92\x3a\x76\xc5\x25\x4f\x1e\xb3\x53\x29\xa7\x93\x79\x44\x6b\x72\x5c\x1b\x68\xc0\xf4\x23\x7a\xf5\x2f\xfd\x82\x1f\x72\xda\xe2" + ) + , + ( 0 + , 320 + , "\xf4\xd3\xef\xfe\x43\xec\x46\x78\xa0\x66\x80\x5a\x3e\xb7\x12\x74\x04\x6c\x5e\x30\x40\xf9\xaf\xc2\xe0\xc1\xe0\x52\x50\x36\x6d\xa5" + ) + , + ( 0 + , 383 + , "\x30\xab\x6f\x23\xd3\x55\xbc\x2b\x3b\xc3\x9f\x19\x0f\x1a\x58\x19\x19\x4a\x0e\x58\xbc\x50\xd3\x05\x22\x47\x9c\x42\x2e\x23\x8d\x67" + ) + , + ( 0 + , 384 + , "\x9f\x4c\x9e\x6f\x16\xf2\x2c\xce\xb1\x1c\x0c\x98\xa9\x64\xf1\x53\x47\xc0\x64\x67\xf6\xb4\x55\x80\x64\x35\xf1\x34\xa9\x77\x99\x90" + ) + , + ( 0 + , 447 + , "\x25\x40\xa9\xc0\x66\x18\x9e\x62\xb6\x14\xad\xf5\x00\x2c\x12\xdc\x03\x8a\x38\xb5\xe9\x43\x50\x10\x19\xf0\x16\xa7\x0b\xb4\x04\x7a" + ) + , + ( 0 + , 448 + , "\x39\xcc\x80\x48\xb9\x2b\x18\x88\xf5\xa3\x70\x06\xd9\x54\xa1\x33\xb0\x82\x9a\xff\x80\x34\xb2\x63\xfa\xf5\x9c\x18\xda\x4d\xed\x9c" + ) + , + ( 0 + , 511 + , "\x6d\xf5\xc5\x31\x38\xc8\x8e\x52\x5b\xe0\x26\x70\xfb\xb3\xef\x77\x50\xe5\x32\x7d\x5a\x21\xde\x3f\x79\x8e\x95\x0b\x23\x7f\x10\x12" + ) + , + ( 0 + , 512 + , "\xf0\x38\x11\xa6\x94\x7d\xe9\x42\x63\x49\x0b\x11\x32\x24\x0c\x7d\x46\xab\xd4\x64\x51\x13\x0d\x86\x04\x20\x29\xd0\xda\xe6\x83\x04" + ) + , + ( 0 + , 513 + , "\x6a\x4b\x18\xb8\x4e\x67\xca\xac\x64\xe7\x9d\xd0\x0a\x01\x97\x9a\x64\x95\xc4\xe8\x7f\xbd\xe9\xb4\x4a\x24\x8d\xd4\x12\x4b\x24\xf0" + ) + , + ( 0 + , 576 + , "\xe3\x17\xfc\x20\x12\x1d\x70\x36\x29\xec\xef\x79\x0e\xba\xf9\xdf\x9b\x09\x35\xc7\x7d\x6c\x88\x8f\x81\xcf\x98\xc7\x42\x88\xe5\x48" + ) + , + ( 0 + , 640 + , "\x73\x38\xfe\x4f\x7f\x36\xbb\x15\xb1\x40\x46\xa8\xab\x66\x66\x9c\x6c\x2e\x2a\x7e\x37\xa1\x58\xa0\x39\x27\xe3\xf9\x79\x9a\xd4\xe6" + ) + , + ( 0 + , 704 + , "\x8a\x38\x79\x32\xfd\x3f\xcb\xb1\xec\x0e\x4f\xe3\xdb\xd3\x31\x75\x74\xdb\x69\x20\xaa\xd3\x4b\x69\xa2\xe6\x4e\xcb\xfd\x12\xfb\x8b" + ) + , + ( 0 + , 1024 + , "\x45\x20\xf2\xe8\xee\x19\xee\x25\xcc\x50\x45\x03\x51\x65\x7b\x81\x25\xbe\x47\x27\x5d\x8e\x88\x5b\x6f\x76\xc5\x6d\x62\x68\x9d\x63" + ) + , + ( 0 + , 2048 + , "\xd0\x5c\xe9\x7f\x18\x46\x93\x0b\xd3\xa4\x5c\x15\xf2\xdf\xf7\x7f\x29\xcc\x01\xb5\x48\x55\x10\x41\x94\x1d\xc5\x1e\x2f\xc2\x26\x88" + ) + , + ( 0 + , 4096 + , "\x71\x05\xec\x3f\x33\xb9\xe9\x07\x05\x9c\xc5\x30\xec\x41\xb0\x09\xcd\x3d\x8a\xe6\x7b\x88\x3a\xeb\xf4\xea\x53\xee\x42\xea\x2d\x3c" + ) + , + ( 0 + , 8192 + , "\x05\x62\x0c\x5d\xc9\xc4\x23\xd2\xb8\x14\x46\xc3\xad\xbf\x17\x5a\xfb\x7c\xd0\xa5\xcc\xc2\x8e\x60\x68\x6b\x77\x97\x47\x44\x8d\x96" + ) + , + ( 0 + , 12288 + , "\x09\x67\xf7\x03\x07\x6f\xb6\xb5\xe7\xcd\xaf\x4b\x8c\xad\x66\x39\x41\x99\x72\xd3\x06\xae\x20\x88\xd6\x0c\xd6\x52\x1e\x7e\x5f\xc3" + ) + , + ( 1 + , 191 + , "\xf2\x7e\x48\x8b\x09\xfd\xf6\xb8\xbc\x30\xe1\xba\x49\xa0\xff\x51\x29\xe0\x8f\xf0\xfb\x47\x5f\xa4\xbf\x74\x08\x9d\x49\x0e\x04\x3c" + ) + , + ( 1 + , 192 + , "\x14\x36\x48\xb5\xbe\xa7\xf8\xb1\x5b\xfb\xaf\xc1\x61\x8e\x02\x19\x80\x4c\xfa\xdc\xa1\xc0\xde\xf4\x81\xc6\xdd\xfe\x95\x87\x12\x94" + ) + , + ( 1 + , 193 + , "\x31\x64\xcd\xc8\x37\x13\xe5\xbc\x3e\x47\x03\xb2\xa0\xac\x78\x79\xb7\x67\x06\xfd\x63\x70\xa8\x26\xb5\xeb\xfc\xb8\x2c\xb4\x30\x46" + ) + , + ( 1 + , 255 + , "\xff\xdb\x93\x0d\x04\x5d\xfb\xd0\xce\x68\x8a\xb9\x71\x11\xbc\xdd\x2e\xf0\x8e\xeb\xbf\xd1\x29\x4e\x86\x3f\x67\x3f\x7d\x4d\xd5\xd0" + ) + , + ( 1 + , 256 + , "\xa6\x91\xf4\x64\x38\x29\x5c\x67\x7a\xd3\x59\x54\x2c\x77\x89\x23\x13\x9b\x38\xda\x9d\x2c\x04\x83\x34\x38\x6d\x0e\x84\x43\x10\xae" + ) + , + ( 1 + , 320 + , "\xff\xf0\x79\x6f\x40\x95\xa6\x30\xfa\x3d\x93\x8c\x1a\xe1\x43\x4c\xfe\x70\x75\x80\xe5\x1e\x2b\x58\xf6\x20\xd0\x22\xa9\xbd\xfa\x0a" + ) + , + ( 1 + , 383 + , "\xed\xf0\x30\xf2\x34\x53\xb6\x41\x6d\xd1\xdf\x76\xce\xee\xda\x2a\x13\xf2\xb4\xb4\xee\x1f\xde\xc5\x3f\x05\xd2\x57\xe6\xed\x99\xd0" + ) + , + ( 1 + , 384 + , "\xb3\x87\x2d\x6b\xa8\x30\xd5\x3f\x08\xc8\x53\x89\x06\xea\xb1\xb2\x42\x90\xbd\x2d\x15\xa1\x64\xbd\xcf\xe2\xa9\x5e\xa4\x28\x98\xfc" + ) + , + ( 1 + , 447 + , "\x7c\x73\x0d\xdf\xae\x6d\x29\x16\x24\xdd\x99\x8a\xc1\x33\x7d\xaf\x13\x7b\x89\x6f\xad\x9f\x72\xeb\x7d\x1a\x49\xde\x5b\xee\x41\x82" + ) + , + ( 1 + , 448 + , "\x83\x8a\x55\x1e\x18\x0e\x39\x7e\x65\xee\x91\x1e\x30\xfb\x95\x74\xcc\x49\x45\xbd\x38\x2f\xb6\xc0\xb1\x0e\x0b\x79\x83\x73\xf9\x30" + ) + , + ( 1 + , 511 + , "\x63\x7a\x92\x5b\x5a\x98\x2d\xa9\xa6\xb6\x91\x6e\x79\x9e\x28\x6a\xc9\x4f\x3e\xe8\x50\x2f\xf7\xdb\xef\xe2\x02\x6f\x65\xd5\x0a\x84" + ) + , + ( 1 + , 512 + , "\x37\xa0\xb2\x08\x93\xb3\xd3\xf8\xcd\xfa\x76\xcb\x0a\x77\x99\x19\xb6\x80\x92\x89\x1a\x28\x32\x6b\x42\x96\x9e\xff\xbc\xbf\x80\x11" + ) + , + ( 1 + , 513 + , "\x60\x31\x68\x0c\x03\x89\xdd\x65\xb0\xfc\x1b\x8c\xa4\xec\x4f\x90\x7f\x25\xc0\x03\xf1\xde\x85\x77\xf4\x68\xc0\x4a\xe1\xf9\x00\x9b" + ) + , + ( 1 + , 576 + , "\xb0\xae\xd0\x02\xce\xa7\x61\xef\xf4\x48\x7d\x1f\x6f\x07\x17\x64\x0f\x72\x5b\xad\x2e\x1b\xc7\x6d\xf7\xee\x2b\xcf\xf4\xb4\x72\x5f" + ) + , + ( 1 + , 640 + , "\x82\xfc\x19\x96\x59\x37\x41\x8b\x6f\x12\x0d\xae\xfc\xa8\xce\xc7\x02\xbb\x7e\x6a\x66\x37\xf3\x8d\xc8\x86\xe6\x1d\x90\xb4\x4d\x67" + ) + , + ( 1 + , 704 + , "\xf5\x3c\x7c\xfa\x24\xee\x6f\x49\x79\x16\xdb\x8f\x72\x4a\x3d\xc8\x6c\x78\x42\x8b\xf0\x8d\xdd\x0d\x71\xff\x36\x74\xa6\xb7\x8a\xe6" + ) + , + ( 1 + , 1024 + , "\x23\xa1\xce\x21\x96\x72\x54\xa0\xeb\x3a\xbd\xbc\x24\xa2\xa9\x65\x93\x98\x74\x92\x6d\xe5\x56\xe7\xed\xa4\x17\x2b\xdc\x1c\x3f\x02" + ) + , + ( 1 + , 2048 + , "\x7d\x86\xa4\xb2\x82\x57\x78\x16\x38\x6f\x44\xed\x4a\x13\x50\x9c\x94\x12\x5d\x84\xf6\x3c\x09\x86\xf1\x94\x29\xe7\x10\x75\x54\xe5" + ) + , + ( 1 + , 4096 + , "\x4b\xd4\x83\xc4\x45\x2d\x54\x6a\x5b\x4e\xf8\xae\xcb\x87\x10\xfb\xda\xcd\x68\xbe\x95\xd0\x73\x44\xdb\xce\x25\x83\xd9\x6c\x72\xaf" + ) + , + ( 1 + , 8192 + , "\x43\x22\x12\x02\xd5\x94\x93\x26\x2f\xea\xc8\x82\xe2\xc2\x8a\x4c\x36\x10\xd3\x5c\x59\x82\x92\x27\x3a\x4f\x3a\x6c\x2a\x9a\x6f\xa2" + ) + , + ( 1 + , 12288 + , "\x00\x75\xab\x26\xfe\x8e\x9c\x2e\xcb\xa2\xcd\x16\x26\xd8\x88\x89\xe3\x9a\xeb\x2b\xb8\xbe\xb1\x7f\x46\x8a\x5a\x72\x38\x57\x88\xe4" + ) + , + ( 305419896 + , 191 + , "\x19\x27\x86\x98\xbf\xe8\x52\x42\x4a\x72\x76\xb8\xcf\x7f\x40\x2b\xf2\x41\x97\x39\xf4\x13\x7d\x62\x25\x8d\x5e\x32\x7b\x3e\x19\xe0" + ) + , + ( 305419896 + , 192 + , "\x6c\x17\x58\xd2\x31\xf9\x5f\x02\x82\x8a\x76\x32\x13\xd6\x9c\x32\xf0\x81\x6a\x6a\xe7\x43\x78\x19\xd9\x89\x8e\xda\x55\xa4\x7e\x06" + ) + , + ( 305419896 + , 193 + , "\x85\x4d\x53\xe9\x9a\x06\x20\x4e\x6e\x30\x5d\xa1\xab\x66\xc0\xb1\x85\xe7\x1b\xd6\xed\x1e\xa3\xd7\x13\x91\x28\x69\xb1\xf8\x6a\x32" + ) + , + ( 305419896 + , 255 + , "\x34\xb9\x16\x61\xca\xe0\xe7\x75\x55\x44\x54\x3d\x1f\xff\x93\xcb\x02\x89\xd1\x32\x48\xc1\x70\xa5\xa1\x6d\xfb\x07\xf4\xc2\x73\x6b" + ) + , + ( 305419896 + , 256 + , "\x36\x3b\x26\x10\x5c\xdc\x9d\xba\x59\xae\x8d\xe0\x92\xe5\xd9\xdc\x99\xd8\xa4\xa1\x68\xec\xfc\x1e\xce\x2a\x18\x8c\xb8\x56\xfb\xa9" + ) + , + ( 305419896 + , 320 + , "\x41\xb1\x29\x5e\x42\xe2\x3a\xfd\xdc\xeb\x09\xd2\x22\x62\xc0\xff\x44\x17\xa0\x54\xd7\x6e\x93\x77\xb4\xa1\xec\xe1\x62\x31\x5e\x43" + ) + , + ( 305419896 + , 383 + , "\xbc\xec\xe8\x44\x2d\x0d\x7c\x68\x67\x30\xa6\xbf\x42\x39\x75\x39\xda\x5c\x3b\xd0\x82\x98\xdf\xf1\xa6\x94\x3a\x1e\x45\xd0\x5e\x4b" + ) + , + ( 305419896 + , 384 + , "\xc4\xa0\x5c\x22\x3c\xed\xdf\x3c\xc8\x40\x9f\x15\x6e\x54\x7b\xaa\x46\x51\xa0\xf5\xbd\x5d\xba\x73\x86\xba\x41\x2f\x88\x21\x8c\x6a" + ) + , + ( 305419896 + , 447 + , "\xa6\x16\x3c\x57\xe3\xfc\x78\xe2\x1c\xaf\xef\x51\x81\xa3\x00\x2b\xfa\xe3\x3e\x97\x4c\xaf\x37\x6a\x3a\xb0\xe3\x31\x74\x97\x4d\x3b" + ) + , + ( 305419896 + , 448 + , "\xbf\xf8\xea\x06\x20\x99\xca\x63\x97\x88\xe3\xfe\xed\x9d\x59\x98\x52\xf2\xc0\x9e\xda\xb3\x91\xbd\x00\x05\x31\x0e\xc9\xa3\x5f\x7b" + ) + , + ( 305419896 + , 511 + , "\x38\x2c\x89\x65\x0f\x15\x33\x28\xb7\x07\xbc\xe0\x40\x28\x77\x75\x81\x3c\x77\x58\xe0\xa0\xe2\xb4\xf4\xd8\xb0\xce\xc6\x10\x45\x08" + ) + , + ( 305419896 + , 512 + , "\x87\x6f\xcc\xc1\xd9\x61\x56\xc5\x3c\x9d\xf0\x06\x8b\x12\xbf\x7c\xd5\x60\x2f\xa3\x20\x7b\x71\x3d\xdc\x30\x57\x74\x24\xa8\x2e\x18" + ) + , + ( 305419896 + , 513 + , "\x73\x1c\x5b\x67\x29\xb5\xcf\x59\xd1\x6e\x28\x2c\x8d\x99\x6f\xad\xbc\x42\xd7\xf7\xbd\x1b\x05\xc2\x04\x4d\x4e\x16\x52\x04\x27\x88" + ) + , + ( 305419896 + , 576 + , "\x1c\x63\x4a\x40\xcc\x65\x66\x57\x62\x52\xa3\xdf\x2a\x5a\x24\x01\xaa\x12\xf9\xf7\xa7\xf1\x13\xd5\xd4\x57\x26\x9b\xae\xf0\xc2\xc2" + ) + , + ( 305419896 + , 640 + , "\x31\x36\x49\xcc\x53\xba\x02\x7c\x1f\x73\xf8\x80\x75\xb9\x82\xef\xc2\x90\xaa\xb3\xba\x5a\x93\x1f\x59\x02\xf3\x1a\x86\xac\xe2\x7a" + ) + , + ( 305419896 + , 704 + , "\x02\xcb\x50\x33\xb9\x6d\x14\x20\x7f\xdb\xb9\x6a\x9c\x32\x75\x0f\x57\x4b\x3c\x8b\x77\xc7\x7e\x36\x2d\x86\x54\x6c\x3d\x34\x9c\xd9" + ) + , + ( 305419896 + , 1024 + , "\x47\x2e\x03\xd7\xec\x96\x19\xc5\x4e\x49\xa7\x9f\x4f\xb6\x1c\x3c\x33\xd9\x6b\x23\xb2\x61\x34\xf5\x24\x23\xcf\xe8\x00\x71\x89\xd6" + ) + , + ( 305419896 + , 2048 + , "\x55\xef\xa5\x8b\xb9\xbb\x9e\x94\xa3\x75\xb1\x40\x84\x4f\x55\x41\x12\xd0\x5f\x4f\x2d\xa3\xc8\xc7\x36\x78\x91\x4e\xba\x68\x91\xcb" + ) + , + ( 305419896 + , 4096 + , "\x2d\x31\xc3\x49\x9f\xc7\x6b\x99\x46\xf7\x8a\x64\xff\x7e\x70\x92\x83\x5f\x06\x03\xa7\xe3\x88\x83\x76\x2d\x3a\x78\x88\x4a\x11\x48" + ) + , + ( 305419896 + , 8192 + , "\x4c\xe7\x49\xa6\xd5\x80\x77\xd4\x9e\x9b\x77\xcd\x46\x33\x8c\x15\xae\x97\xc8\x63\x8e\x45\xcd\x40\x74\xe3\x92\x96\x7e\xab\xbb\xd0" + ) + , + ( 305419896 + , 12288 + , "\x47\x90\x36\xe5\x3d\xd1\x06\x37\x0e\x9d\xd6\x52\x7e\x78\x85\xd7\x4d\x9a\xb0\x4d\xc3\x13\xec\x8c\xc8\x08\xc6\xd2\x5a\xea\xc6\x3d" + ) + ] + +longKey :: ByteString +longKey = B.pack [fromIntegral (0x40 + i) | i <- [0 .. 31 :: Int]] + +longNonce :: ByteString +longNonce = B.pack [fromIntegral (0xf0 - i) | i <- [0 .. 11 :: Int]] + +longTests :: Spec +longTests = describe "long keystream" $ mapM_ test longVectors + where + test (counter, len, expected) = + it (show len ++ " bytes from counter " ++ show counter) $ do + digest (fst (ChaCha.generate st len) :: ByteString) `shouldBe` expected + digest (fst (ChaCha.combine st (B.replicate len 0)) :: ByteString) + `shouldBe` expected + where + st = + ChaCha.setCounter32 counter $ + ChaCha.initialize 20 longKey longNonce + digest bs = BA.convert (hash bs :: Digest SHA256) :: ByteString + +-- The 32-bit counter carries into the word above it, which the bulk loops +-- must not do on their own account, so a message that runs over the carry +-- has to come out the same as the same message taken a block at a time. +counterCarry :: Spec +counterCarry = + describe "counter carry" $ + mapM_ test [0xffffff00, 0xfffffff0, 0xfffffffe] + where + test counter = + it ("crossing 2^32 from " ++ show (counter :: Word32)) $ + fst (ChaCha.combine st (B.replicate len 0)) + `shouldBe` B.concat (blockAtATime len st) + where + len = 8192 + st = ChaCha.setCounter32 counter (ChaCha.initialize 20 longKey longNonce) + blockAtATime 0 _ = [] + blockAtATime n s = + let (c, next) = ChaCha.combine s (B.replicate (min 64 n) 0) + in c : blockAtATime (n - min 64 n) next + +spec :: Spec +spec = do + it "8-128-K0-I0" (chachaRunSimple b8_128_k0_i0 8 16 8) + it "12-128-K0-I0" (chachaRunSimple b12_128_k0_i0 12 16 8) + it "20-128-K0-I0" (chachaRunSimple b20_128_k0_i0 20 16 8) + it "8-256-K0-I0" (chachaRunSimple b8_256_k0_i0 8 32 8) + it "12-256-K0-I0" (chachaRunSimple b12_256_k0_i0 12 32 8) + it "20-256-K0-I0" (chachaRunSimple b20_256_k0_i0 20 32 8) + it "XChaCha20 example KAT" xChaCha20_ExampleKAT + it "RFC 8439 A2 #1 ChaCha20" rfc8439A2_1 + it "RFC 8439 A2 #2 ChaCha20" rfc8439A2_2 + it "RFC 8439 A2 #3 ChaCha20" rfc8439A2_3 + longTests + counterCarry + prop "generate-combine" chachaGenerateCombine + prop "chunking-generate" chachaGenerateChunks + prop "chunking-combine" chachaCombineChunks + where + chachaRunSimple expected rounds klen nonceLen = + let chacha = ChaCha.initialize rounds (B.replicate klen 0) (B.replicate nonceLen 0) + in fst (ChaCha.generate chacha (B.length expected)) `shouldBe` expected + + chachaGenerateChunks :: ChunkingLen -> Vector -> Bool + chachaGenerateChunks (ChunkingLen ckLen) (Vector rounds key iv) = + let initChaCha = ChaCha.initialize rounds key iv + nbBytes = 1048 + (expected, _) = ChaCha.generate initChaCha nbBytes + chunks = loop nbBytes ckLen initChaCha + in expected `propertyEq` B.concat chunks + where + loop n [] chacha = loop n ckLen chacha + loop 0 _ _ = [] + loop n (x : xs) chacha = + let len = min x n + (c, next) = ChaCha.generate chacha len + in c : loop (n - len) xs next + + chachaGenerateCombine :: ChunkingLen0_127 -> Vector -> Int0_2901 -> Bool + chachaGenerateCombine (ChunkingLen0_127 ckLen) (Vector rounds key iv) (Int0_2901 nbBytes) = + let initChaCha = ChaCha.initialize rounds key iv + in loop nbBytes ckLen initChaCha + where + loop n [] chacha = loop n ckLen chacha + loop 0 _ _ = True + loop n (x : xs) chacha = + let len = min x n + (c1, next) = ChaCha.generate chacha len + (c2, _) = ChaCha.combine chacha (B.replicate len 0) + in if c1 == c2 then loop (n - len) xs next else False + + chachaCombineChunks :: ChunkingLen0_127 -> Vector -> ArbitraryBS0_2901 -> Bool + chachaCombineChunks (ChunkingLen0_127 ckLen) (Vector rounds key iv) (ArbitraryBS0_2901 wholebs) = + let initChaCha = ChaCha.initialize rounds key iv + (expected, _) = ChaCha.combine initChaCha wholebs + chunks = loop wholebs ckLen initChaCha + in expected `propertyEq` B.concat chunks + where + loop bs [] chacha = loop bs ckLen chacha + loop bs (x : xs) chacha + | B.null bs = [] + | otherwise = + let (bs1, bs2) = B.splitAt (min x (B.length bs)) bs + (c, next) = ChaCha.combine chacha bs1 + in c : loop bs2 xs next diff --git a/tests/StreamCipher/RC4Spec.hs b/tests/StreamCipher/RC4Spec.hs new file mode 100644 --- /dev/null +++ b/tests/StreamCipher/RC4Spec.hs @@ -0,0 +1,42 @@ +{-# LANGUAGE OverloadedStrings #-} +{-# LANGUAGE ViewPatterns #-} + +module StreamCipher.RC4Spec where + +import Test.Hspec + +import qualified Crypto.Cipher.RC4 as RC4 +import Data.ByteString (ByteString) +import Data.ByteString.Char8 () + +-- taken from wikipedia pages +vectors :: [(ByteString, ByteString, ByteString)] +vectors = + [ + ( "Key" + , "Plaintext" + , "\xBB\xF3\x16\xE8\xD9\x40\xAF\x0A\xD3" + ) + , + ( "Wiki" + , "pedia" + , "\x10\x21\xBF\x04\x20" + ) + , + ( "Secret" + , "Attack at dawn" + , "\x45\xA0\x1F\x64\x5F\xC3\x5B\x38\x35\x52\x54\x4B\x9B\xF5" + ) + ] + +spec :: Spec +spec = + sequence_ $ + zipWith toKatTest is vectors + where + toKatTest i (key, plainText, cipherText) = + it + (show i) + (snd (RC4.combine (RC4.initialize key) plainText) `shouldBe` cipherText) + is :: [Int] + is = [1 ..] diff --git a/tests/StreamCipher/SalsaSpec.hs b/tests/StreamCipher/SalsaSpec.hs new file mode 100644 --- /dev/null +++ b/tests/StreamCipher/SalsaSpec.hs @@ -0,0 +1,133 @@ +{-# LANGUAGE OverloadedStrings #-} + +module StreamCipher.SalsaSpec (spec) where + +import qualified Crypto.Cipher.Salsa as Salsa +import qualified Data.ByteString as B + +import Imports + +type Vector = (Int, B.ByteString, B.ByteString, [(Int, B.ByteString)]) + +vectors :: [Vector] +vectors = + [ + ( 20 + , key + , iv + , + [ + ( 0 + , "\x99\xA8\xCC\xEC\x6C\x5B\x2A\x0B\x6E\x33\x6C\xB2\x06\x52\x24\x1C\x32\xB2\x4D\x34\xAC\xC0\x45\x7E\xF6\x79\x17\x8E\xDE\x7C\xF8\x05\x80\x5A\x93\x05\xC7\xC4\x99\x09\x68\x3B\xD1\xA8\x03\x32\x78\x17\x62\x7C\xA4\x6F\xE8\xB9\x29\xB6\xDF\x00\x12\xBD\x86\x41\x83\xBE" + ) + , + ( 192 + , "\x2D\x22\x6C\x11\xF4\x7B\x3C\x0C\xCD\x09\x59\xB6\x1F\x59\xD5\xCC\x30\xFC\xEF\x6D\xBB\x8C\xBB\x3D\xCC\x1C\xC2\x52\x04\xFC\xD4\x49\x8C\x37\x42\x6A\x63\xBE\xA3\x28\x2B\x1A\x8A\x0D\x60\xE1\x3E\xB2\xFE\x59\x24\x1A\x9F\x6A\xF4\x26\x68\x98\x66\xED\xC7\x69\xE1\xE6\x48\x2F\xE1\xC1\x28\xA1\x5C\x11\x23\xB5\x65\x5E\xD5\x46\xDF\x01\x4C\xE0\xC4\x55\xDB\xF5\xD3\xA1\x3D\x9C\xD4\xF0\xE2\xD1\xDA\xB9\xF1\x2F\xB6\x8C\x54\x42\x61\xD7\xF8\x8E\xAC\x1C\x6C\xBF\x99\x3F\xBB\xB8\xE0\xAA\x85\x10\xBF\xF8\xE7\x38\x35\xA1\xE8\x6E\xAD\xBB" + ) + , + ( 448 + , "\x05\x97\x18\x8A\x1C\x19\x25\x57\x69\xBE\x1C\x21\x03\x99\xAD\x17\x2E\xB4\x6C\x52\xF9\x2F\xD5\x41\xDF\x2E\xAD\x71\xB1\xFF\x8E\xA7\xAD\xD3\x80\xEC\x71\xA5\xFD\x7A\xDB\x51\x81\xEA\xDD\x18\x25\xEC\x02\x77\x9A\x45\x09\xBE\x58\x32\x70\x8C\xA2\x83\x6C\x16\x93\xA5" + ) + ] + ) + , + ( 20 + , "\x00\x53\xA6\xF9\x4C\x9F\xF2\x45\x98\xEB\x3E\x91\xE4\x37\x8A\xDD\x30\x83\xD6\x29\x7C\xCF\x22\x75\xC8\x1B\x6E\xC1\x14\x67\xBA\x0D" + , "\x0D\x74\xDB\x42\xA9\x10\x77\xDE" + , + [ + ( 0 + , "\xF5\xFA\xD5\x3F\x79\xF9\xDF\x58\xC4\xAE\xA0\xD0\xED\x9A\x96\x01\xF2\x78\x11\x2C\xA7\x18\x0D\x56\x5B\x42\x0A\x48\x01\x96\x70\xEA\xF2\x4C\xE4\x93\xA8\x62\x63\xF6\x77\xB4\x6A\xCE\x19\x24\x77\x3D\x2B\xB2\x55\x71\xE1\xAA\x85\x93\x75\x8F\xC3\x82\xB1\x28\x0B\x71" + ) + , + ( 65472 + , "\xB7\x0C\x50\x13\x9C\x63\x33\x2E\xF6\xE7\x7A\xC5\x43\x38\xA4\x07\x9B\x82\xBE\xC9\xF9\xA4\x03\xDF\xEA\x82\x1B\x83\xF7\x86\x07\x91\x65\x0E\xF1\xB2\x48\x9D\x05\x90\xB1\xDE\x77\x2E\xED\xA4\xE3\xBC\xD6\x0F\xA7\xCE\x9C\xD6\x23\xD9\xD2\xFD\x57\x58\xB8\x65\x3E\x70\x81\x58\x2C\x65\xD7\x56\x2B\x80\xAE\xC2\xF1\xA6\x73\xA9\xD0\x1C\x9F\x89\x2A\x23\xD4\x91\x9F\x6A\xB4\x7B\x91\x54\xE0\x8E\x69\x9B\x41\x17\xD7\xC6\x66\x47\x7B\x60\xF8\x39\x14\x81\x68\x2F\x5D\x95\xD9\x66\x23\xDB\xC4\x89\xD8\x8D\xAA\x69\x56\xB9\xF0\x64\x6B\x6E" + ) + , + ( 131008 + , "\xA1\x3F\xFA\x12\x08\xF8\xBF\x50\x90\x08\x86\xFA\xAB\x40\xFD\x10\xE8\xCA\xA3\x06\xE6\x3D\xF3\x95\x36\xA1\x56\x4F\xB7\x60\xB2\x42\xA9\xD6\xA4\x62\x8C\xDC\x87\x87\x62\x83\x4E\x27\xA5\x41\xDA\x2A\x5E\x3B\x34\x45\x98\x9C\x76\xF6\x11\xE0\xFE\xC6\xD9\x1A\xCA\xCC" + ) + ] + ) + ] + where + key :: B.ByteString + key = + "\xEA\xEB\xEC\xED\xEE\xEF\xF0\xF1\xF2\xF3\xF4\xF5\xF6\xF7\xF8\xF9\xFA\xFB\xFC\xFD\xFE\xFF\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09" + + iv = B.replicate 8 0 + +newtype RandomVector = RandomVector Vector + deriving (Show, Eq) + +instance Arbitrary RandomVector where + arbitrary = RandomVector <$> elements vectors + +spec :: Spec +spec = do + describe "KAT" $ + sequence_ $ + zipWith + (\i (r, k, n, e) -> it (show (i :: Int)) $ salsaRunSimple e r k n) + [1 ..] + vectors + prop "generate-combine" salsaGenerateCombine + prop "chunking-generate" salsaGenerateChunks + prop "chunking-combine" salsaCombineChunks + where + salsaRunSimple expected rounds key nonce = + let salsa = Salsa.initialize rounds key nonce + in salsaLoop 0 salsa expected `shouldBe` map snd expected + + salsaLoop _ _ [] = [] + salsaLoop current salsa (r@(ofs, expectBs) : rs) + | current < ofs = + let (_, salsaNext) = Salsa.generate salsa (ofs - current) :: (ByteString, Salsa.State) + in salsaLoop ofs salsaNext (r : rs) + | current == ofs = + let (e, salsaNext) = Salsa.generate salsa (B.length expectBs) + in e : salsaLoop (current + B.length expectBs) salsaNext rs + | otherwise = error "internal error in salsaLoop" + + salsaGenerateCombine :: ChunkingLen0_127 -> RandomVector -> Int0_2901 -> Bool + salsaGenerateCombine (ChunkingLen0_127 ckLen) (RandomVector (rounds, key, iv, _)) (Int0_2901 nbBytes) = + let initSalsa = Salsa.initialize rounds key iv + in loop nbBytes ckLen initSalsa + where + loop n [] salsa = loop n ckLen salsa + loop 0 _ _ = True + loop n (x : xs) salsa = + let len = min x n + (c1, next) = Salsa.generate salsa len + (c2, _) = Salsa.combine salsa (B.replicate len 0) + in if c1 == c2 then loop (n - len) xs next else False + + salsaGenerateChunks :: ChunkingLen -> RandomVector -> Bool + salsaGenerateChunks (ChunkingLen ckLen) (RandomVector (rounds, key, iv, _)) = + let initSalsa = Salsa.initialize rounds key iv + nbBytes = 1048 + (expected, _) = Salsa.generate initSalsa nbBytes + chunks = loop nbBytes ckLen (Salsa.initialize rounds key iv) + in expected == B.concat chunks + where + loop n [] salsa = loop n ckLen salsa + loop 0 _ _ = [] + loop n (x : xs) salsa = + let len = min x n + (c, next) = Salsa.generate salsa len + in c : loop (n - len) xs next + + salsaCombineChunks :: ChunkingLen -> RandomVector -> ArbitraryBS0_2901 -> Bool + salsaCombineChunks (ChunkingLen ckLen) (RandomVector (rounds, key, iv, _)) (ArbitraryBS0_2901 wholebs) = + let initSalsa = Salsa.initialize rounds key iv + (expected, _) = Salsa.combine initSalsa wholebs + chunks = loop wholebs ckLen initSalsa + in expected `propertyEq` B.concat chunks + where + loop bs [] salsa = loop bs ckLen salsa + loop bs (x : xs) salsa + | B.null bs = [] + | otherwise = + let (bs1, bs2) = B.splitAt (min x (B.length bs)) bs + (c, next) = Salsa.combine salsa bs1 + in c : loop bs2 xs next diff --git a/tests/StreamCipher/XSalsaSpec.hs b/tests/StreamCipher/XSalsaSpec.hs new file mode 100644 --- /dev/null +++ b/tests/StreamCipher/XSalsaSpec.hs @@ -0,0 +1,173 @@ +{-# LANGUAGE OverloadedStrings #-} + +module StreamCipher.XSalsaSpec (spec) where + +import qualified Crypto.Cipher.XSalsa as XSalsa +import qualified Data.ByteString as B + +import Imports + +type Vector = (Int, B.ByteString, B.ByteString, B.ByteString, B.ByteString) + +-- Test vectors generated by naclcrypto library (https://nacl.cr.yp.to) +vectors :: [Vector] +vectors = + [ + ( 20 + , "\xA6\xA7\x25\x1C\x1E\x72\x91\x6D\x11\xC2\xCB\x21\x4D\x3C\x25\x25\x39\x12\x1D\x8E\x23\x4E\x65\x2D\x65\x1F\xA4\xC8\xCF\xF8\x80\x30" + , "\x9E\x64\x5A\x74\xE9\xE0\xA6\x0D\x82\x43\xAC\xD9\x17\x7A\xB5\x1A\x1B\xEB\x8D\x5A\x2F\x5D\x70\x0C" + , "\x09\x3C\x5E\x55\x85\x57\x96\x25\x33\x7B\xD3\xAB\x61\x9D\x61\x57\x60\xD8\xC5\xB2\x24\xA8\x5B\x1D\x0E\xFE\x0E\xB8\xA7\xEE\x16\x3A\xBB\x03\x76\x52\x9F\xCC\x09\xBA\xB5\x06\xC6\x18\xE1\x3C\xE7\x77\xD8\x2C\x3A\xE9\xD1\xA6\xF9\x72\xD4\x16\x02\x87\xCB\xFE\x60\xBF\x21\x30\xFC\x0A\x6F\xF6\x04\x9D\x0A\x5C\x8A\x82\xF4\x29\x23\x1F\x00\x80\x82\xE8\x45\xD7\xE1\x89\xD3\x7F\x9E\xD2\xB4\x64\xE6\xB9\x19\xE6\x52\x3A\x8C\x12\x10\xBD\x52\xA0\x2A\x4C\x3F\xE4\x06\xD3\x08\x5F\x50\x68\xD1\x90\x9E\xEE\xCA\x63\x69\xAB\xC9\x81\xA4\x2E\x87\xFE\x66\x55\x83\xF0\xAB\x85\xAE\x71\xF6\xF8\x4F\x52\x8E\x6B\x39\x7A\xF8\x6F\x69\x17\xD9\x75\x4B\x73\x20\xDB\xDC\x2F\xEA\x81\x49\x6F\x27\x32\xF5\x32\xAC\x78\xC4\xE9\xC6\xCF\xB1\x8F\x8E\x9B\xDF\x74\x62\x2E\xB1\x26\x14\x14\x16\x77\x69\x71\xA8\x4F\x94\xD1\x56\xBE\xAF\x67\xAE\xCB\xF2\xAD\x41\x2E\x76\xE6\x6E\x8F\xAD\x76\x33\xF5\xB6\xD7\xF3\xD6\x4B\x5C\x6C\x69\xCE\x29\x00\x3C\x60\x24\x46\x5A\xE3\xB8\x9B\xE7\x8E\x91\x5D\x88\xB4\xB5\x62\x1D" + , "\xB2\xAF\x68\x8E\x7D\x8F\xC4\xB5\x08\xC0\x5C\xC3\x9D\xD5\x83\xD6\x71\x43\x22\xC6\x4D\x7F\x3E\x63\x14\x7A\xED\xE2\xD9\x53\x49\x34\xB0\x4F\xF6\xF3\x37\xB0\x31\x81\x5C\xD0\x94\xBD\xBC\x6D\x7A\x92\x07\x7D\xCE\x70\x94\x12\x28\x68\x22\xEF\x07\x37\xEE\x47\xF6\xB7\xFF\xA2\x2F\x9D\x53\xF1\x1D\xD2\xB0\xA3\xBB\x9F\xC0\x1D\x9A\x88\xF9\xD5\x3C\x26\xE9\x36\x5C\x2C\x3C\x06\x3B\xC4\x84\x0B\xFC\x81\x2E\x4B\x80\x46\x3E\x69\xD1\x79\x53\x0B\x25\xC1\x58\xF5\x43\x19\x1C\xFF\x99\x31\x06\x51\x1A\xA0\x36\x04\x3B\xBC\x75\x86\x6A\xB7\xE3\x4A\xFC\x57\xE2\xCC\xE4\x93\x4A\x5F\xAA\xE6\xEA\xBE\x4F\x22\x17\x70\x18\x3D\xD0\x60\x46\x78\x27\xC2\x7A\x35\x41\x59\xA0\x81\x27\x5A\x29\x1F\x69\xD9\x46\xD6\xFE\x28\xED\x0B\x9C\xE0\x82\x06\xCF\x48\x49\x25\xA5\x1B\x94\x98\xDB\xDE\x17\x8D\xDD\x3A\xE9\x1A\x85\x81\xB9\x16\x82\xD8\x60\xF8\x40\x78\x2F\x6E\xEA\x49\xDB\xB9\xBD\x72\x15\x01\xD2\xC6\x71\x22\xDE\xA3\xB7\x28\x38\x48\xC5\xF1\x3E\x0C\x0D\xE8\x76\xBD\x22\x7A\x85\x6E\x4D\xE5\x93\xA3" + ) + , + ( 20 + , "\x9E\x1D\xA2\x39\xD1\x55\xF5\x2A\xD3\x7F\x75\xC7\x36\x8A\x53\x66\x68\xB0\x51\x95\x29\x23\xAD\x44\xF5\x7E\x75\xAB\x58\x8E\x47\x5A" + , "\xAF\x06\xF1\x78\x59\xDF\xFA\x79\x98\x91\xC4\x28\x8F\x66\x35\xB5\xC5\xA4\x5E\xEE\x90\x17\xFD\x72" + , "\xFE\xAC\x9D\x54\xFC\x8C\x11\x5A\xE2\x47\xD9\xA7\xE9\x19\xDD\x76\xCF\xCB\xC7\x2D\x32\xCA\xE4\x94\x48\x60\x81\x7C\xBD\xFB\x8C\x04\xE6\xB1\xDF\x76\xA1\x65\x17\xCD\x33\xCC\xF1\xAC\xDA\x92\x06\x38\x9E\x9E\x31\x8F\x59\x66\xC0\x93\xCF\xB3\xEC\x2D\x9E\xE2\xDE\x85\x64\x37\xED\x58\x1F\x55\x2F\x26\xAC\x29\x07\x60\x9D\xF8\xC6\x13\xB9\xE3\x3D\x44\xBF\xC2\x1F\xF7\x91\x53\xE9\xEF\x81\xA9\xD6\x6C\xC3\x17\x85\x7F\x75\x2C\xC1\x75\xFD\x88\x91\xFE\xFE\xBB\x7D\x04\x1E\x65\x17\xC3\x16\x2D\x19\x7E\x21\x12\x83\x7D\x3B\xC4\x10\x43\x12\xAD\x35\xB7\x5E\xA6\x86\xE7\xC7\x0D\x4E\xC0\x47\x46\xB5\x2F\xF0\x9C\x42\x14\x51\x45\x9F\xB5\x9F" + , "\x2C\x26\x1A\x2F\x4E\x61\xA6\x2E\x1B\x27\x68\x99\x16\xBF\x03\x45\x3F\xCB\xC9\x7B\xB2\xAF\x6F\x32\x93\x91\xEF\x06\x3B\x5A\x21\x9B\xF9\x84\xD0\x7D\x70\xF6\x02\xD8\x5F\x6D\xB6\x14\x74\xE9\xD9\xF5\xA2\xDE\xEC\xB4\xFC\xD9\x01\x84\xD1\x6F\x3B\x5B\x5E\x16\x8E\xE0\x3E\xA8\xC9\x3F\x39\x33\xA2\x2B\xC3\xD1\xA5\xAE\x8C\x2D\x8B\x02\x75\x7C\x87\xC0\x73\x40\x90\x52\xA2\xA8\xA4\x1E\x7F\x48\x7E\x04\x1F\x9A\x49\xA0\x99\x7B\x54\x0E\x18\x62\x1C\xAD\x3A\x24\xF0\xA5\x6D\x9B\x19\x22\x79\x29\x05\x7A\xB3\xBA\x95\x0F\x62\x74\xB1\x21\xF1\x93\xE3\x2E\x06\xE5\x38\x87\x81\xA1\xCB\x57\x31\x7C\x0B\xA6\x30\x5E\x91\x09\x61\xD0\x10\x02\xF0" + ) + , + ( 20 + , "\xD5\xC7\xF6\x79\x7B\x7E\x7E\x9C\x1D\x7F\xD2\x61\x0B\x2A\xBF\x2B\xC5\xA7\x88\x5F\xB3\xFF\x78\x09\x2F\xB3\xAB\xE8\x98\x6D\x35\xE2" + , "\x74\x4E\x17\x31\x2B\x27\x96\x9D\x82\x64\x44\x64\x0E\x9C\x4A\x37\x8A\xE3\x34\xF1\x85\x36\x9C\x95" + , "\x77\x58\x29\x8C\x62\x8E\xB3\xA4\xB6\x96\x3C\x54\x45\xEF\x66\x97\x12\x22\xBE\x5D\x1A\x4A\xD8\x39\x71\x5D\x11\x88\x07\x17\x39\xB7\x7C\xC6\xE0\x5D\x54\x10\xF9\x63\xA6\x41\x67\x62\x97\x57" + , "\x27\xB8\xCF\xE8\x14\x16\xA7\x63\x01\xFD\x1E\xEC\x6A\x4D\x99\x67\x50\x69\xB2\xDA\x27\x76\xC3\x60\xDB\x1B\xDF\xEA\x7C\x0A\xA6\x13\x91\x3E\x10\xF7\xA6\x0F\xEC\x04\xD1\x1E\x65\xF2\xD6\x4E" + ) + , + ( 20 + , "\x73\x7D\x78\x11\xCE\x96\x47\x2E\xFE\xD1\x22\x58\xB7\x81\x22\xF1\x1D\xEA\xEC\x87\x59\xCC\xBD\x71\xEA\xC6\xBB\xEF\xA6\x27\x78\x5C" + , "\x6F\xB2\xEE\x3D\xDA\x6D\xBD\x12\xF1\x27\x4F\x12\x67\x01\xEC\x75\xC3\x5C\x86\x60\x7A\xDB\x3E\xDD" + , "\x50\x13\x25\xFB\x26\x45\x26\x48\x64\xDF\x11\xFA\xA1\x7B\xBD\x58\x31\x2B\x77\xCA\xD3\xD9\x4A\xC8\xFB\x85\x42\xF0\xEB\x65\x3A\xD7\x3D\x7F\xCE\x93\x2B\xB8\x74\xCB\x89\xAC\x39\xFC\x47\xF8\x26\x7C\xF0\xF0\xC2\x09\xF2\x04\xB2\xD8\x57\x8A\x3B\xDF\x46\x1C\xB6\xA2\x71\xA4\x68\xBE\xBA\xCC\xD9\x68\x50\x14\xCC\xBC\x9A\x73\x61\x8C\x6A\x5E\x77\x8A\x21\xCC\x84\x16\xC6\x0A\xD2\x4D\xDC\x41\x7A\x13\x0D\x53\xED\xA6\xDF\xBF\xE4\x7D\x09\x17\x0A\x7B\xE1\xA7\x08\xB7\xB5\xF3\xAD\x46\x43\x10\xBE\x36\xD9\xA2\xA9\x5D\xC3\x9E\x83\xD3\x86\x67\xE8\x42\xEB\x64\x11\xE8\xA2\x37\x12\x29\x7B\x16\x5F\x69\x0C\x2D\x7C\xA1\xB1\x34\x6E\x3C\x1F\xCC\xF5\xCA\xFD\x4F\x8B\xE0" + , 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"\x6D\xB6\x5B\x9E\xC8\xB1\x14\xA9\x44\x13\x7C\x82\x1F\xD6\x06\xBE\x75\x47\x8D\x92\x83\x66\xD5\x28\x40\x96\xCD\xEF\x78\x2F\xCF\xF7\xE8\xF5\x9C\xB8\xFF\xCD\xA9\x79\x75\x79\x02\xC5\xFF\xA6\xBC\x47\x7C\xEA\xA4\xCB\x5D\x5E\xA7\x6F\x94\xD9\x1E\x83\x3F\x82\x3A\x6B\xC7\x8F\x10\x55\xDF\xA6\xA9\x7B\xEA\x89\x65\xC1\xCD\xE6\x7A\x66\x8E\x00\x12\x57\x33\x4A\x58\x57\x27\xD9\xE0\xF7\xC1\xA0\x6E\x88\xD3\xD2\x5A\x4E\x6D\x90\x96\xC9\x68\xBF\x13\x8E\x11\x6A\x3E\xBE\xFF\xD4\xBB\x48\x08\xAD\xB1\xFD\x69\x81\x64\xBA\x0A\x35\xC7\x09\xA4\x7F\x16\xF1\xF4\x43\x5A\x23\x45\xA9\x19\x4A\x00\xB9\x5A\xBD\x51\x85\x1D\x50\x58\x09\xA6\x07\x7D\xA9\xBA\xCA\x58\x31\xAF\xFF\x31\x57\x8C\x48\x7E\xE6\x8F\x27\x67\x97\x4A\x98\xA7\xE8\x03\xAA\xC7\x88\xDA\x98\x31\x9C\x4E\xA8\xEA\xA3\xD3\x94\x85\x56\x51\xF4\x84\xCE\xF5\x43\xF5\x37\xE3\x51\x58\xEE\x29" + , "\x4D\xCE\x9C\x8F\x97\xA0\x28\x05\x1B\x07\x27\xF3\x4E\x1B\x9E\xF2\x1F\x06\xF0\x76\x0F\x36\xE7\x17\x13\x20\x40\x27\x90\x20\x90\xBA\x2B\xB6\xB1\x34\x36\xEE\x77\x8D\x9F\x50\x53\x0E\xFB\xD7\xA3\x2B\x0D\x41\x44\x3F\x58\xCC\xAE\xE7\x81\xC7\xB7\x16\xD3\xA9\x6F\xDE\xC0\xE3\x76\x4E\xD7\x95\x9F\x34\xC3\x94\x12\x78\x59\x1E\xA0\x33\xB5\xCB\xAD\xC0\xF1\x91\x60\x32\xE9\xBE\xBB\xD1\xA8\x39\x5B\x83\xFB\x63\xB1\x45\x4B\xD7\x75\xBD\x20\xB3\xA2\xA9\x6F\x95\x12\x46\xAC\x14\xDA\xF6\x81\x66\xBA\x62\xF6\xCB\xFF\x8B\xD1\x21\xAC\x94\x98\xFF\x88\x52\xFD\x2B\xE9\x75\xDF\x52\xB5\xDA\xEF\x38\x29\xD1\x8E\xDA\x42\xE7\x15\x02\x2D\xCB\xF9\x30\xD0\xA7\x89\xEE\x6A\x14\x6C\x2C\x70\x88\xC3\x57\x73\xC6\x3C\x06\xB4\xAF\x45\x59\x85\x6A\xC1\x99\xCE\xD8\x68\x63\xE4\x29\x47\x07\x82\x53\x37\xC5\x85\x79\x70\xEB\x7F\xDD\xEB\x26\x37\x81\x30\x90\x11" + ) + , + ( 20 + , "\x0A\xE1\x00\x12\xD7\xE5\x66\x14\xB0\x3D\xCC\x89\xB1\x4B\xAE\x92\x42\xFF\xE6\x30\xF3\xD7\xE3\x5C\xE8\xBB\xB9\x7B\xBC\x2C\x92\xC3" + , "\xF9\x6B\x02\x5D\x6C\xF4\x6A\x8A\x12\xAC\x2A\xF1\xE2\xAE\xF1\xFB\x83\x59\x0A\xDA\xDA\xA5\xC5\xEA" + , "\xEA\x0F\x35\x4E\x96\xF1\x2B\xC7\x2B\xBA\xA3\xD1\x2B\x4A\x8E\xD8\x79\xB0\x42\xF0\x68\x98\x78\xF4\x6B\x65\x1C\xC4\x11\x6D\x6F\x78\x40\x9B\x11\x43\x0B\x3A\xAA\x30\xB2\x07\x68\x91\xE8\xE1\xFA\x52\x8F\x2F\xD1\x69\xED\x93\xDC\x9F\x84\xE2\x44\x09\xEE\xC2\x10\x1D\xAF\x4D\x05\x7B\xE2\x49\x2D\x11\xDE\x64\x0C\xBD\x7B\x35\x5A\xD2\x9F\xB7\x04\x00\xFF\xFD\x7C\xD6\xD4\x25\xAB\xEE\xB7\x32\xA0\xEA\xA4\x33\x0A\xF4\xC6\x56\x25\x2C\x41\x73\xDE\xAB\x65\x3E\xB8\x5C\x58\x46\x2D\x7A\xB0\xF3\x5F\xD1\x2B\x61\x3D\x29\xD4\x73\xD3\x30\x31\x0D\xC3\x23\xD3\xC6\x63\x48\xBB\xDB\xB6\x8A\x32\x63\x24\x65\x7C\xAE\x7B\x77\xA9\xE3\x43\x58\xF2\xCE\xC5\x0C\x85\x60\x9E\x73\x05\x68\x56\x79\x6E\x3B\xE8\xD6\x2B\x6E\x2F\xE9\xF9\x53" + , "\xE8\xAB\xD4\x89\x24\xB5\x4E\x5B\x80\x86\x6B\xE7\xD4\xEB\xE5\xCF\x42\x74\xCA\xFF\xF0\x8B\x39\xCB\x2D\x40\xA8\xF0\xB4\x72\x39\x8A\xED\xC7\x76\xE0\x79\x38\x12\xFB\xF1\xF6\x00\x78\x63\x5D\x2E\xD8\x6B\x15\xEF\xCD\xBA\x60\x41\x1E\xE2\x3B\x07\x23\x35\x92\xA4\x4E\xC3\x1B\x10\x13\xCE\x89\x64\x23\x66\x75\xF8\xF1\x83\xAE\xF8\x85\xE8\x64\xF2\xA7\x2E\xDF\x42\x15\xB5\x33\x8F\xA2\xB5\x46\x53\xDF\xA1\xA8\xC5\x5C\xE5\xD9\x5C\xC6\x05\xB9\xB3\x11\x52\x7F\x2E\x34\x63\xFF\xBE\xC7\x8A\x9D\x1D\x65\xDA\xBA\xD2\xF3\x38\x76\x9C\x9F\x43\xF1\x33\xA7\x91\xA1\x1C\x7E\xCA\x9A\xF0\xB7\x71\xA4\xAC\x32\x96\x3D\xC8\xF6\x31\xA2\xC1\x12\x17\xAC\x6E\x1B\x94\x30\xC1\xAA\xE1\xCE\xEB\xE2\x27\x03\xF4\x29\x99\x8A\x8F\xB8\xC6\x41" + ) + , + ( 20 + , "\x08\x2C\x53\x9B\xC5\xB2\x0F\x97\xD7\x67\xCD\x3F\x22\x9E\xDA\x80\xB2\xAD\xC4\xFE\x49\xC8\x63\x29\xB5\xCD\x62\x50\xA9\x87\x74\x50" + , "\x84\x55\x43\x50\x2E\x8B\x64\x91\x2D\x8F\x2C\x8D\x9F\xFF\xB3\xC6\x93\x65\x68\x65\x87\xC0\x8D\x0C" + , "\xA9\x6B\xB7\xE9\x10\x28\x1A\x6D\xFA\xD7\xC8\xA9\xC3\x70\x67\x4F\x0C\xEE\xC1\xAD\x8D\x4F\x0D\xE3\x2F\x9A\xE4\xA2\x3E\xD3\x29\xE3\xD6\xBC\x70\x8F\x87\x66\x40\xA2\x29\x15\x3A\xC0\xE7\x28\x1A\x81\x88\xDD\x77\x69\x51\x38\xF0\x1C\xDA\x5F\x41\xD5\x21\x5F\xD5\xC6\xBD\xD4\x6D\x98\x2C\xB7\x3B\x1E\xFE\x29\x97\x97\x0A\x9F\xDB\xDB\x1E\x76\x8D\x7E\x5D\xB7\x12\x06\x8D\x8B\xA1\xAF\x60\x67\xB5\x75\x34\x95\xE2\x3E\x6E\x19\x63\xAF\x01\x2F\x9C\x7C\xE4\x50\xBF\x2D\xE6\x19\xD3\xD5\x95\x42\xFB\x55\xF3" + , "\x83\x5D\xA7\x4F\xC6\xDE\x08\xCB\xDA\x27\x7A\x79\x66\xA0\x7C\x8D\xCD\x62\x7E\x7B\x17\xAD\xDE\x6D\x93\x0B\x65\x81\xE3\x12\x4B\x8B\xAA\xD0\x96\xF6\x93\x99\x1F\xED\xB1\x57\x29\x30\x60\x1F\xC7\x70\x95\x41\x83\x9B\x8E\x3F\xFD\x5F\x03\x3D\x20\x60\xD9\x99\xC6\xC6\xE3\x04\x82\x76\x61\x3E\x64\x80\x00\xAC\xB5\x21\x2C\xC6\x32\xA9\x16\xAF\xCE\x29\x0E\x20\xEB\xDF\x61\x2D\x08\xA6\xAA\x4C\x79\xA7\x4B\x07\x0D\x3F\x87\x2A\x86\x1F\x8D\xC6\xBB\x07\x61\x4D\xB5\x15\xD3\x63\x34\x9D\x3A\x8E\x33\x36\xA3" + ) + , + ( 20 + , "\x3D\x02\xBF\xF3\x37\x5D\x40\x30\x27\x35\x6B\x94\xF5\x14\x20\x37\x37\xEE\x9A\x85\xD2\x05\x2D\xB3\xE4\xE5\xA2\x17\xC2\x59\xD1\x8A" + , "\x74\x21\x6C\x95\x03\x18\x95\xF4\x8C\x1D\xBA\x65\x15\x55\xEB\xFA\x3C\xA3\x26\xA7\x55\x23\x70\x25" + , "\x0D\x4B\x0F\x54\xFD\x09\xAE\x39\xBA\xA5\xFA\x4B\xAC\xCF\x2E\x66\x82\xE6\x1B\x25\x7E\x01\xF4\x2B\x8F" + , "\x16\xC4\x00\x6C\x28\x36\x51\x90\x41\x1E\xB1\x59\x38\x14\xCF\x15\xE7\x4C\x22\x23\x8F\x21\x0A\xFC\x3D" + ) + , + ( 20 + , "\xAD\x1A\x5C\x47\x68\x88\x74\xE6\x66\x3A\x0F\x3F\xA1\x6F\xA7\xEF\xB7\xEC\xAD\xC1\x75\xC4\x68\xE5\x43\x29\x14\xBD\xB4\x80\xFF\xC6" + , "\xE4\x89\xEE\xD4\x40\xF1\xAA\xE1\xFA\xC8\xFB\x7A\x98\x25\x63\x54\x54\xF8\xF8\xF1\xF5\x2E\x2F\xCC" + , "\xAA\x6C\x1E\x53\x58\x0F\x03\xA9\xAB\xB7\x3B\xFD\xAD\xED\xFE\xCA\xDA\x4C\x6B\x0E\xBE\x02\x0E\xF1\x0D\xB7\x45\xE5\x4B\xA8\x61\xCA\xF6\x5F\x0E\x40\xDF\xC5\x20\x20\x3B\xB5\x4D\x29\xE0\xA8\xF7\x8F\x16\xB3\xF1\xAA\x52\x5D\x6B\xFA\x33\xC5\x47\x26\xE5\x99\x88\xCF\xBE\xC7\x80\x56" + , "\x02\xFE\x84\xCE\x81\xE1\x78\xE7\xAA\xBD\xD3\xBA\x92\x5A\x76\x6C\x3C\x24\x75\x6E\xEF\xAE\x33\x94\x2A\xF7\x5E\x8B\x46\x45\x56\xB5\x99\x7E\x61\x6F\x3F\x2D\xFC\x7F\xCE\x91\x84\x8A\xFD\x79\x91\x2D\x9F\xB5\x52\x01\xB5\x81\x3A\x5A\x07\x4D\x2C\x0D\x42\x92\xC1\xFD\x44\x18\x07\xC5" + ) + , + ( 20 + , "\x05\x3A\x02\xBE\xDD\x63\x68\xC1\xFB\x8A\xFC\x7A\x1B\x19\x9F\x7F\x7E\xA2\x22\x0C\x9A\x4B\x64\x2A\x68\x50\x09\x1C\x9D\x20\xAB\x9C" + , "\xC7\x13\xEE\xA5\xC2\x6D\xAD\x75\xAD\x3F\x52\x45\x1E\x00\x3A\x9C\xB0\xD6\x49\xF9\x17\xC8\x9D\xDE" + , "\x8F\x0A\x8A\x16\x47\x60\x42\x65\x67\xE3\x88\x84\x02\x76\xDE\x3F\x95\xCB\x5E\x3F\xAD\xC6\xED\x3F\x3E\x4F\xE8\xBC\x16\x9D\x93\x88\x80\x4D\xCB\x94\xB6\x58\x7D\xBB\x66\xCB\x0B\xD5\xF8\x7B\x8E\x98\xB5\x2A\xF3\x7B\xA2\x90\x62\x9B\x85\x8E\x0E\x2A\xA7\x37\x80\x47\xA2\x66\x02" + , "\x51\x67\x10\xE5\x98\x43\xE6\xFB\xD4\xF2\x5D\x0D\x8C\xA0\xEC\x0D\x47\xD3\x9D\x12\x5E\x9D\xAD\x98\x7E\x05\x18\xD4\x91\x07\x01\x4C\xB0\xAE\x40\x5E\x30\xC2\xEB\x37\x94\x75\x0B\xCA\x14\x2C\xE9\x5E\x29\x0C\xF9\x5A\xBE\x15\xE8\x22\x82\x3E\x2E\x7D\x3A\xB2\x1B\xC8\xFB\xD4\x45" + ) + , + ( 20 + , "\x5B\x14\xAB\x0F\xBE\xD4\xC5\x89\x52\x54\x8A\x6C\xB1\xE0\x00\x0C\xF4\x48\x14\x21\xF4\x12\x88\xEA\x0A\xA8\x4A\xDD\x9F\x7D\xEB\x96" + , "\x54\xBF\x52\xB9\x11\x23\x1B\x95\x2B\xA1\xA6\xAF\x8E\x45\xB1\xC5\xA2\x9D\x97\xE2\xAB\xAD\x7C\x83" + , "\x37\xFB\x44\xA6\x75\x97\x8B\x56\x0F\xF9\xA4\xA8\x70\x11\xD6\xF3\xAD\x2D\x37\xA2\xC3\x81\x5B\x45\xA3\xC0\xE6\xD1\xB1\xD8\xB1\x78\x4C\xD4\x68\x92\x7C\x2E\xE3\x9E\x1D\xCC\xD4\x76\x5E\x1C\x3D\x67\x6A\x33\x5B\xE1\xCC\xD6\x90\x0A\x45\xF5\xD4\x1A\x31\x76\x48\x31\x5D\x8A\x8C\x24\xAD\xC6\x4E\xB2\x85\xF6\xAE\xBA\x05\xB9\x02\x95\x86\x35\x3D\x30\x3F\x17\xA8\x07\x65\x8B\x9F\xF7\x90\x47\x4E\x17\x37\xBD\x5F\xDC\x60\x4A\xEF\xF8\xDF\xCA\xF1\x42\x7D\xCC\x3A\xAC\xBB\x02\x56\xBA\xDC\xD1\x83\xED\x75\xA2\xDC\x52\x45\x2F\x87\xD3\xC1\xED\x2A\xA5\x83\x47\x2B\x0A\xB9\x1C\xDA\x20\x61\x4E\x9B\x6F\xDB\xDA\x3B\x49\xB0\x98\xC9\x58\x23\xCC\x72\xD8\xE5\xB7\x17\xF2\x31\x4B\x03\x24\xE9\xCE" + , "\xAE\x6D\xEB\x5D\x6C\xE4\x3D\x4B\x09\xD0\xE6\xB1\xC0\xE9\xF4\x61\x57\xBC\xD8\xAB\x50\xEA\xA3\x19\x7F\xF9\xFA\x2B\xF7\xAF\x64\x9E\xB5\x2C\x68\x54\x4F\xD3\xAD\xFE\x6B\x1E\xB3\x16\xF1\xF2\x35\x38\xD4\x70\xC3\x0D\xBF\xEC\x7E\x57\xB6\x0C\xBC\xD0\x96\xC7\x82\xE7\x73\x6B\x66\x91\x99\xC8\x25\x3E\x70\x21\x4C\xF2\xA0\x98\xFD\xA8\xEA\xC5\xDA\x79\xA9\x49\x6A\x3A\xAE\x75\x4D\x03\xB1\x7C\x6D\x70\xD1\x02\x7F\x42\xBF\x7F\x95\xCE\x3D\x1D\x9C\x33\x88\x54\xE1\x58\xFC\xC8\x03\xE4\xD6\x26\x2F\xB6\x39\x52\x1E\x47\x11\x6E\xF7\x8A\x7A\x43\x7C\xA9\x42\x7B\xA6\x45\xCD\x64\x68\x32\xFE\xAB\x82\x2A\x20\x82\x78\xE4\x5E\x93\xE1\x18\xD7\x80\xB9\x88\xD6\x53\x97\xED\xDF\xD7\xA8\x19\x52\x6E" + ) + , + ( 20 + , "\xD7\x46\x36\xE3\x41\x3A\x88\xD8\x5F\x32\x2C\xA8\x0F\xB0\xBD\x65\x0B\xD0\xBF\x01\x34\xE2\x32\x91\x60\xB6\x96\x09\xCD\x58\xA4\xB0" + , "\xEF\xB6\x06\xAA\x1D\x9D\x9F\x0F\x46\x5E\xAA\x7F\x81\x65\xF1\xAC\x09\xF5\xCB\x46\xFE\xCF\x2A\x57" + , "\xF8\x54\x71\xB7\x5F\x6E\xC8\x1A\xBA\xC2\x79\x9E\xC0\x9E\x98\xE2\x80\xB2\xFF\xD6\x4C\xA2\x85\xE5\xA0\x10\x9C\xFB\x31\xFF\xAB\x2D\x61\x7B\x2C\x29\x52\xA2\xA8\xA7\x88\xFC\x0D\xA2\xAF\x7F\x53\x07\x58\xF7\x4F\x1A\xB5\x63\x91\xAB\x5F\xF2\xAD\xBC\xC5\xBE\x2D\x6C\x7F\x49\xFB\xE8\x11\x81\x04\xC6\xFF\x9A\x23\xC6\xDF\xE5\x2F\x57\x95\x4E\x6A\x69\xDC\xEE\x5D\xB0\x6F\x51\x4F\x4A\x0A\x57\x2A\x9A\x85\x25\xD9\x61\xDA\xE7\x22\x69\xB9\x87\x18\x9D\x46\x5D\xF6\x10\x71\x19\xC7\xFA\x79\x08\x53\xE0\x63\xCB\xA0\xFA\xB7\x80\x0C\xA9\x32\xE2\x58\x88\x0F\xD7\x4C\x33\xC7\x84\x67\x5B\xED\xAD\x0E\x7C\x09\xE9\xCC\x4D\x63\xDD\x5E\x97\x13\xD5\xD4\xA0\x19\x6E\x6B\x56\x22\x26\xAC\x31\xB4\xF5\x7C\x04\xF9\x0A\x18\x19\x73\x73\x7D\xDC\x7E\x80\xF3\x64\x11\x2A\x9F\xBB\x43\x5E\xBD\xBC\xAB\xF7\xD4\x90\xCE\x52" + , "\xB2\xB7\x95\xFE\x6C\x1D\x4C\x83\xC1\x32\x7E\x01\x5A\x67\xD4\x46\x5F\xD8\xE3\x28\x13\x57\x5C\xBA\xB2\x63\xE2\x0E\xF0\x58\x64\xD2\xDC\x17\xE0\xE4\xEB\x81\x43\x6A\xDF\xE9\xF6\x38\xDC\xC1\xC8\xD7\x8F\x6B\x03\x06\xBA\xF9\x38\xE5\xD2\xAB\x0B\x3E\x05\xE7\x35\xCC\x6F\xFF\x2D\x6E\x02\xE3\xD6\x04\x84\xBE\xA7\xC7\xA8\xE1\x3E\x23\x19\x7F\xEA\x7B\x04\xD4\x7D\x48\xF4\xA4\xE5\x94\x41\x74\x53\x94\x92\x80\x0D\x3E\xF5\x1E\x2E\xE5\xE4\xC8\xA0\xBD\xF0\x50\xC2\xDD\x3D\xD7\x4F\xCE\x5E\x7E\x5C\x37\x36\x4F\x75\x47\xA1\x14\x80\xA3\x06\x3B\x9A\x0A\x15\x7B\x15\xB1\x0A\x5A\x95\x4D\xE2\x73\x1C\xED\x05\x5A\xA2\xE2\x76\x7F\x08\x91\xD4\x32\x9C\x42\x6F\x38\x08\xEE\x86\x7B\xED\x0D\xC7\x5B\x59\x22\xB7\xCF\xB8\x95\x70\x0F\xDA\x01\x61\x05\xA4\xC7\xB7\xF0\xBB\x90\xF0\x29\xF6\xBB\xCB\x04\xAC\x36\xAC\x16" + ) + ] + +-- Test vector from paper "Cryptography in NaCl" +vectorsCB :: [Vector] +vectorsCB = + [ + ( 20 + , "\x4A\x5D\x9D\x5B\xA4\xCE\x2D\xE1\x72\x8E\x3B\xF4\x80\x35\x0F\x25\xE0\x7E\x21\xC9\x47\xD1\x9E\x33\x76\xF0\x9B\x3C\x1E\x16\x17\x42" + , "\x69\x69\x6E\xE9\x55\xB6\x2B\x73\xCD\x62\xBD\xA8\x75\xFC\x73\xD6\x82\x19\xE0\x03\x6B\x7A\x0B\x37" + , "\xBE\x07\x5F\xC5\x3C\x81\xF2\xD5\xCF\x14\x13\x16\xEB\xEB\x0C\x7B\x52\x28\xC5\x2A\x4C\x62\xCB\xD4\x4B\x66\x84\x9B\x64\x24\x4F\xFC\xE5\xEC\xBA\xAF\x33\xBD\x75\x1A\x1A\xC7\x28\xD4\x5E\x6C\x61\x29\x6C\xDC\x3C\x01\x23\x35\x61\xF4\x1D\xB6\x6C\xCE\x31\x4A\xDB\x31\x0E\x3B\xE8\x25\x0C\x46\xF0\x6D\xCE\xEA\x3A\x7F\xA1\x34\x80\x57\xE2\xF6\x55\x6A\xD6\xB1\x31\x8A\x02\x4A\x83\x8F\x21\xAF\x1F\xDE\x04\x89\x77\xEB\x48\xF5\x9F\xFD\x49\x24\xCA\x1C\x60\x90\x2E\x52\xF0\xA0\x89\xBC\x76\x89\x70\x40\xE0\x82\xF9\x37\x76\x38\x48\x64\x5E\x07\x05" + , "\x8E\x99\x3B\x9F\x48\x68\x12\x73\xC2\x96\x50\xBA\x32\xFC\x76\xCE\x48\x33\x2E\xA7\x16\x4D\x96\xA4\x47\x6F\xB8\xC5\x31\xA1\x18\x6A\xC0\xDF\xC1\x7C\x98\xDC\xE8\x7B\x4D\xA7\xF0\x11\xEC\x48\xC9\x72\x71\xD2\xC2\x0F\x9B\x92\x8F\xE2\x27\x0D\x6F\xB8\x63\xD5\x17\x38\xB4\x8E\xEE\xE3\x14\xA7\xCC\x8A\xB9\x32\x16\x45\x48\xE5\x26\xAE\x90\x22\x43\x68\x51\x7A\xCF\xEA\xBD\x6B\xB3\x73\x2B\xC0\xE9\xDA\x99\x83\x2B\x61\xCA\x01\xB6\xDE\x56\x24\x4A\x9E\x88\xD5\xF9\xB3\x79\x73\xF6\x22\xA4\x3D\x14\xA6\x59\x9B\x1F\x65\x4C\xB4\x5A\x74\xE3\x55\xA5" + ) + ] + +spec :: Spec +spec = do + describe "KAT" $ + sequence_ $ + zipWith + (\i (r, k, n, p, e) -> it (show (i :: Int)) $ salsaRunSimple r k n p e) + [1 ..] + vectors + describe "crypto_box encryption" $ + sequence_ $ + zipWith + (\i (r, k, n, p, e) -> it (show (i :: Int)) $ cryptoBoxEnc r k n p e) + [1 ..] + vectorsCB + where + salsaRunSimple rounds key nonce plain expected = + let salsa = XSalsa.initialize rounds key nonce + in fst (XSalsa.combine salsa plain) `shouldBe` expected + + cryptoBoxEnc rounds shared nonce plain expected = + let zero = B.replicate 16 0 + (iv0, iv1) = B.splitAt 8 nonce + salsa0 = XSalsa.initialize rounds shared (zero `B.append` iv0) + salsa1 = XSalsa.derive salsa0 iv1 + (_, salsa2) = XSalsa.generate salsa1 32 :: (B.ByteString, XSalsa.State) + in fst (XSalsa.combine salsa2 plain) `shouldBe` expected diff --git a/tests/Tests.hs b/tests/Tests.hs deleted file mode 100644 --- a/tests/Tests.hs +++ /dev/null @@ -1,107 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module Main where - -import Imports - -import Crypto.System.CPU - -import qualified Number -import qualified Number.F2m -import qualified BCrypt -import qualified BCryptPBKDF -import qualified ECC -import qualified ECC.Edwards25519 -import qualified ECDSA -import qualified Hash -import qualified Poly1305 -import qualified Salsa -import qualified XSalsa -import qualified ChaCha -import qualified ChaChaPoly1305 -import qualified KAT_MiyaguchiPreneel -import qualified KAT_Blake2 -import qualified KAT_CMAC -import qualified KAT_HMAC -import qualified KAT_KMAC -import qualified KAT_HKDF -import qualified KAT_Argon2 -import qualified KAT_PBKDF2 -import qualified KAT_Curve25519 -import qualified KAT_Curve448 -import qualified KAT_Ed25519 -import qualified KAT_Ed448 -import qualified KAT_EdDSA -import qualified KAT_OTP -import qualified KAT_PubKey -import qualified KAT_Scrypt --- symmetric cipher -------------------- -import qualified KAT_AES -import qualified KAT_AESGCMSIV -import qualified KAT_Blowfish -import qualified KAT_CAST5 -import qualified KAT_Camellia -import qualified KAT_DES -import qualified KAT_RC4 -import qualified KAT_TripleDES -import qualified KAT_Twofish --- misc -------------------------------- -import qualified KAT_AFIS -import qualified Padding - -tests = testGroup "cryptonite" - [ testGroup "runtime" - [ testCaseInfo "CPU" (return $ show processorOptions) - ] - , Number.tests - , Number.F2m.tests - , Hash.tests - , Padding.tests - , testGroup "ConstructHash" - [ KAT_MiyaguchiPreneel.tests - ] - , testGroup "MAC" - [ Poly1305.tests - , KAT_Blake2.tests - , KAT_CMAC.tests - , KAT_HMAC.tests - , KAT_KMAC.tests - ] - , KAT_Curve25519.tests - , KAT_Curve448.tests - , KAT_Ed25519.tests - , KAT_Ed448.tests - , KAT_EdDSA.tests - , KAT_PubKey.tests - , KAT_OTP.tests - , testGroup "KDF" - [ KAT_PBKDF2.tests - , KAT_Scrypt.tests - , BCrypt.tests - , BCryptPBKDF.tests - , KAT_HKDF.tests - , KAT_Argon2.tests - ] - , testGroup "block-cipher" - [ KAT_AES.tests - , KAT_AESGCMSIV.tests - , KAT_Blowfish.tests - , KAT_CAST5.tests - , KAT_Camellia.tests - , KAT_DES.tests - , KAT_TripleDES.tests - , KAT_Twofish.tests - ] - , testGroup "stream-cipher" - [ KAT_RC4.tests - , ChaCha.tests - , ChaChaPoly1305.tests - , Salsa.tests - , XSalsa.tests - ] - , KAT_AFIS.tests - , ECC.tests - , ECC.Edwards25519.tests - , ECDSA.tests - ] - -main = defaultMain tests diff --git a/tests/Utils.hs b/tests/Utils.hs --- a/tests/Utils.hs +++ b/tests/Utils.hs @@ -1,69 +1,71 @@ {-# LANGUAGE ExistentialQuantification #-} + module Utils where import Control.Applicative -import Data.Char -import Data.Word -import Data.List +import Crypto.Number.Serialize (os2ip) +import Crypto.Random import Data.ByteString (ByteString) import qualified Data.ByteString as B import qualified Data.ByteString.Lazy as L -import Crypto.Random -import Crypto.Number.Serialize (os2ip) +import Data.Char +import Data.List +import Data.Word import Prelude -import Test.Tasty.QuickCheck -import Test.Tasty.HUnit ((@=?)) +import Control.Monad (unless) +import Test.Hspec (Expectation, expectationFailure, shouldBe) +import Test.QuickCheck hiding (maxSize) newtype TestDRG = TestDRG (Word64, Word64, Word64, Word64, Word64) - deriving (Show,Eq) + deriving (Show, Eq) instance Arbitrary TestDRG where - arbitrary = TestDRG `fmap` arbitrary -- distribution not uniform + arbitrary = TestDRG `fmap` arbitrary -- distribution not uniform withTestDRG (TestDRG l) f = fst $ withDRG (drgNewTest l) f newtype ChunkingLen = ChunkingLen [Int] - deriving (Show,Eq) + deriving (Show, Eq) instance Arbitrary ChunkingLen where - arbitrary = ChunkingLen `fmap` vectorOf 16 (choose (0,14)) + arbitrary = ChunkingLen `fmap` vectorOf 16 (choose (0, 14)) newtype ChunkingLen0_127 = ChunkingLen0_127 [Int] - deriving (Show,Eq) + deriving (Show, Eq) instance Arbitrary ChunkingLen0_127 where - arbitrary = ChunkingLen0_127 `fmap` vectorOf 16 (choose (0,127)) - + arbitrary = ChunkingLen0_127 `fmap` vectorOf 16 (choose (0, 127)) newtype ArbitraryBS0_2901 = ArbitraryBS0_2901 ByteString - deriving (Show,Eq,Ord) + deriving (Show, Eq, Ord) instance Arbitrary ArbitraryBS0_2901 where arbitrary = ArbitraryBS0_2901 `fmap` arbitraryBSof 0 2901 newtype Int0_2901 = Int0_2901 Int - deriving (Show,Eq,Ord) + deriving (Show, Eq, Ord) newtype Int1_2901 = Int1_2901 Int - deriving (Show,Eq,Ord) + deriving (Show, Eq, Ord) instance Arbitrary Int0_2901 where - arbitrary = Int0_2901 `fmap` choose (0,2901) + arbitrary = Int0_2901 `fmap` choose (0, 2901) instance Arbitrary Int1_2901 where - arbitrary = Int1_2901 `fmap` choose (1,2901) + arbitrary = Int1_2901 `fmap` choose (1, 2901) -- | a integer wrapper with a better range property -newtype QAInteger = QAInteger { getQAInteger :: Integer } - deriving (Show,Eq) +newtype QAInteger = QAInteger {getQAInteger :: Integer} + deriving (Show, Eq) instance Arbitrary QAInteger where - arbitrary = oneof - [ QAInteger . fromIntegral <$> (choose (0, 65536) :: Gen Int) -- small integer - , larger <$> choose (0,4096) <*> choose (0, 65536) -- medium integer - , QAInteger . os2ip <$> arbitraryBSof 0 32 -- [ 0 .. 2^32 ] sized integer - ] + arbitrary = + oneof + [ QAInteger . fromIntegral <$> (choose (0, 65536) :: Gen Int) -- small integer + , larger <$> choose (0, 4096) <*> choose (0, 65536) -- medium integer + , QAInteger . os2ip <$> arbitraryBSof 0 32 -- [ 0 .. 2^32 ] sized integer + ] where larger :: Int -> Int -> QAInteger larger p b = QAInteger (fromIntegral p * somePrime + fromIntegral b) @@ -79,75 +81,93 @@ chunkS :: ChunkingLen -> ByteString -> [ByteString] chunkS (ChunkingLen originalChunks) = loop originalChunks - where loop l bs - | B.null bs = [] - | otherwise = - case l of - (x:xs) -> let (b1, b2) = B.splitAt x bs in b1 : loop xs b2 - [] -> loop originalChunks bs + where + loop l bs + | B.null bs = [] + | otherwise = + case l of + (x : xs) -> let (b1, b2) = B.splitAt x bs in b1 : loop xs b2 + [] -> loop originalChunks bs chunksL :: ChunkingLen -> L.ByteString -> L.ByteString chunksL (ChunkingLen originalChunks) = L.fromChunks . loop originalChunks . L.toChunks - where loop _ [] = [] - loop l (b:bs) - | B.null b = loop l bs - | otherwise = - case l of - (x:xs) -> let (b1, b2) = B.splitAt x b in b1 : loop xs (b2:bs) - [] -> loop originalChunks (b:bs) + where + loop _ [] = [] + loop l (b : bs) + | B.null b = loop l bs + | otherwise = + case l of + (x : xs) -> let (b1, b2) = B.splitAt x b in b1 : loop xs (b2 : bs) + [] -> loop originalChunks (b : bs) katZero :: Int katZero = 0 ---hexalise :: String -> [Word8] -hexalise s = concatMap (\c -> [ hex $ c `div` 16, hex $ c `mod` 16 ]) s - where hex i - | i >= 0 && i <= 9 = fromIntegral (ord '0') + i - | i >= 10 && i <= 15 = fromIntegral (ord 'a') + i - 10 - | otherwise = 0 +-- hexalise :: String -> [Word8] +hexalise s = concatMap (\c -> [hex $ c `div` 16, hex $ c `mod` 16]) s + where + hex i + | i >= 0 && i <= 9 = fromIntegral (ord '0') + i + | i >= 10 && i <= 15 = fromIntegral (ord 'a') + i - 10 + | otherwise = 0 splitB :: Int -> ByteString -> [ByteString] splitB l b = if B.length b > l then - let (b1, b2) = B.splitAt l b in - b1 : splitB l b2 + let (b1, b2) = B.splitAt l b + in b1 : splitB l b2 else - [ b ] + [b] assertBytesEq :: ByteString -> ByteString -> Bool -assertBytesEq b1 b2 | b1 /= b2 = error ("expected: " ++ show b1 ++ " got: " ++ show b2) - | otherwise = True +assertBytesEq b1 b2 + | b1 /= b2 = error ("expected: " ++ show b1 ++ " got: " ++ show b2) + | otherwise = True assertEq :: (Show a, Eq a) => a -> a -> Bool -assertEq b1 b2 | b1 /= b2 = error ("expected: " ++ show b1 ++ " got: " ++ show b2) - | otherwise = True +assertEq b1 b2 + | b1 /= b2 = error ("expected: " ++ show b1 ++ " got: " ++ show b2) + | otherwise = True propertyEq :: (Show a, Eq a) => a -> a -> Bool propertyEq = assertEq -data PropertyTest = - forall a . (Show a, Eq a) => EqTest String a a +data PropertyTest + = forall a. (Show a, Eq a) => EqTest String a a type PropertyName = String -eqTest :: (Show a, Eq a) - => PropertyName - -> a -- ^ expected value - -> a -- ^ got - -> PropertyTest +eqTest + :: (Show a, Eq a) + => PropertyName + -> a + -- ^ expected value + -> a + -- ^ got + -> PropertyTest eqTest name a b = EqTest name a b propertyHold :: [PropertyTest] -> Bool propertyHold l = case foldl runProperty [] l of - [] -> True + [] -> True failed -> error (intercalate "\n" failed) where runProperty acc (EqTest name a b) - | a == b = acc + | a == b = acc | otherwise = (name ++ ": expected " ++ show a ++ " but got: " ++ show b) : acc -propertyHoldCase :: [PropertyTest] -> IO () -propertyHoldCase l = True @=? propertyHold l +propertyHoldCase :: [PropertyTest] -> Expectation +propertyHoldCase l = propertyHold l `shouldBe` True + +-- | The HUnit assertions the suite used under tasty, on top of hspec. +assertBool :: String -> Bool -> Expectation +assertBool msg b = unless b (expectationFailure msg) + +assertFailure :: String -> Expectation +assertFailure = expectationFailure + +assertEqual :: (Eq a, Show a) => String -> a -> a -> Expectation +assertEqual _ expected actual = actual `shouldBe` expected diff --git a/tests/XSalsa.hs b/tests/XSalsa.hs deleted file mode 100644 --- a/tests/XSalsa.hs +++ /dev/null @@ -1,128 +0,0 @@ -{-# LANGUAGE OverloadedStrings #-} -module XSalsa (tests) where - -import qualified Data.ByteString as B -import qualified Crypto.Cipher.XSalsa as XSalsa - -import Imports - -type Vector = (Int, B.ByteString, B.ByteString, B.ByteString, B.ByteString) - --- Test vectors generated by naclcrypto library (https://nacl.cr.yp.to) -vectors :: [Vector] -vectors = - [ ( 20 - , "\xA6\xA7\x25\x1C\x1E\x72\x91\x6D\x11\xC2\xCB\x21\x4D\x3C\x25\x25\x39\x12\x1D\x8E\x23\x4E\x65\x2D\x65\x1F\xA4\xC8\xCF\xF8\x80\x30" - , "\x9E\x64\x5A\x74\xE9\xE0\xA6\x0D\x82\x43\xAC\xD9\x17\x7A\xB5\x1A\x1B\xEB\x8D\x5A\x2F\x5D\x70\x0C" - , "\x09\x3C\x5E\x55\x85\x57\x96\x25\x33\x7B\xD3\xAB\x61\x9D\x61\x57\x60\xD8\xC5\xB2\x24\xA8\x5B\x1D\x0E\xFE\x0E\xB8\xA7\xEE\x16\x3A\xBB\x03\x76\x52\x9F\xCC\x09\xBA\xB5\x06\xC6\x18\xE1\x3C\xE7\x77\xD8\x2C\x3A\xE9\xD1\xA6\xF9\x72\xD4\x16\x02\x87\xCB\xFE\x60\xBF\x21\x30\xFC\x0A\x6F\xF6\x04\x9D\x0A\x5C\x8A\x82\xF4\x29\x23\x1F\x00\x80\x82\xE8\x45\xD7\xE1\x89\xD3\x7F\x9E\xD2\xB4\x64\xE6\xB9\x19\xE6\x52\x3A\x8C\x12\x10\xBD\x52\xA0\x2A\x4C\x3F\xE4\x06\xD3\x08\x5F\x50\x68\xD1\x90\x9E\xEE\xCA\x63\x69\xAB\xC9\x81\xA4\x2E\x87\xFE\x66\x55\x83\xF0\xAB\x85\xAE\x71\xF6\xF8\x4F\x52\x8E\x6B\x39\x7A\xF8\x6F\x69\x17\xD9\x75\x4B\x73\x20\xDB\xDC\x2F\xEA\x81\x49\x6F\x27\x32\xF5\x32\xAC\x78\xC4\xE9\xC6\xCF\xB1\x8F\x8E\x9B\xDF\x74\x62\x2E\xB1\x26\x14\x14\x16\x77\x69\x71\xA8\x4F\x94\xD1\x56\xBE\xAF\x67\xAE\xCB\xF2\xAD\x41\x2E\x76\xE6\x6E\x8F\xAD\x76\x33\xF5\xB6\xD7\xF3\xD6\x4B\x5C\x6C\x69\xCE\x29\x00\x3C\x60\x24\x46\x5A\xE3\xB8\x9B\xE7\x8E\x91\x5D\x88\xB4\xB5\x62\x1D" - , "\xB2\xAF\x68\x8E\x7D\x8F\xC4\xB5\x08\xC0\x5C\xC3\x9D\xD5\x83\xD6\x71\x43\x22\xC6\x4D\x7F\x3E\x63\x14\x7A\xED\xE2\xD9\x53\x49\x34\xB0\x4F\xF6\xF3\x37\xB0\x31\x81\x5C\xD0\x94\xBD\xBC\x6D\x7A\x92\x07\x7D\xCE\x70\x94\x12\x28\x68\x22\xEF\x07\x37\xEE\x47\xF6\xB7\xFF\xA2\x2F\x9D\x53\xF1\x1D\xD2\xB0\xA3\xBB\x9F\xC0\x1D\x9A\x88\xF9\xD5\x3C\x26\xE9\x36\x5C\x2C\x3C\x06\x3B\xC4\x84\x0B\xFC\x81\x2E\x4B\x80\x46\x3E\x69\xD1\x79\x53\x0B\x25\xC1\x58\xF5\x43\x19\x1C\xFF\x99\x31\x06\x51\x1A\xA0\x36\x04\x3B\xBC\x75\x86\x6A\xB7\xE3\x4A\xFC\x57\xE2\xCC\xE4\x93\x4A\x5F\xAA\xE6\xEA\xBE\x4F\x22\x17\x70\x18\x3D\xD0\x60\x46\x78\x27\xC2\x7A\x35\x41\x59\xA0\x81\x27\x5A\x29\x1F\x69\xD9\x46\xD6\xFE\x28\xED\x0B\x9C\xE0\x82\x06\xCF\x48\x49\x25\xA5\x1B\x94\x98\xDB\xDE\x17\x8D\xDD\x3A\xE9\x1A\x85\x81\xB9\x16\x82\xD8\x60\xF8\x40\x78\x2F\x6E\xEA\x49\xDB\xB9\xBD\x72\x15\x01\xD2\xC6\x71\x22\xDE\xA3\xB7\x28\x38\x48\xC5\xF1\x3E\x0C\x0D\xE8\x76\xBD\x22\x7A\x85\x6E\x4D\xE5\x93\xA3") - , ( 20 - , "\x9E\x1D\xA2\x39\xD1\x55\xF5\x2A\xD3\x7F\x75\xC7\x36\x8A\x53\x66\x68\xB0\x51\x95\x29\x23\xAD\x44\xF5\x7E\x75\xAB\x58\x8E\x47\x5A" - , "\xAF\x06\xF1\x78\x59\xDF\xFA\x79\x98\x91\xC4\x28\x8F\x66\x35\xB5\xC5\xA4\x5E\xEE\x90\x17\xFD\x72" - , "\xFE\xAC\x9D\x54\xFC\x8C\x11\x5A\xE2\x47\xD9\xA7\xE9\x19\xDD\x76\xCF\xCB\xC7\x2D\x32\xCA\xE4\x94\x48\x60\x81\x7C\xBD\xFB\x8C\x04\xE6\xB1\xDF\x76\xA1\x65\x17\xCD\x33\xCC\xF1\xAC\xDA\x92\x06\x38\x9E\x9E\x31\x8F\x59\x66\xC0\x93\xCF\xB3\xEC\x2D\x9E\xE2\xDE\x85\x64\x37\xED\x58\x1F\x55\x2F\x26\xAC\x29\x07\x60\x9D\xF8\xC6\x13\xB9\xE3\x3D\x44\xBF\xC2\x1F\xF7\x91\x53\xE9\xEF\x81\xA9\xD6\x6C\xC3\x17\x85\x7F\x75\x2C\xC1\x75\xFD\x88\x91\xFE\xFE\xBB\x7D\x04\x1E\x65\x17\xC3\x16\x2D\x19\x7E\x21\x12\x83\x7D\x3B\xC4\x10\x43\x12\xAD\x35\xB7\x5E\xA6\x86\xE7\xC7\x0D\x4E\xC0\x47\x46\xB5\x2F\xF0\x9C\x42\x14\x51\x45\x9F\xB5\x9F" - , "\x2C\x26\x1A\x2F\x4E\x61\xA6\x2E\x1B\x27\x68\x99\x16\xBF\x03\x45\x3F\xCB\xC9\x7B\xB2\xAF\x6F\x32\x93\x91\xEF\x06\x3B\x5A\x21\x9B\xF9\x84\xD0\x7D\x70\xF6\x02\xD8\x5F\x6D\xB6\x14\x74\xE9\xD9\xF5\xA2\xDE\xEC\xB4\xFC\xD9\x01\x84\xD1\x6F\x3B\x5B\x5E\x16\x8E\xE0\x3E\xA8\xC9\x3F\x39\x33\xA2\x2B\xC3\xD1\xA5\xAE\x8C\x2D\x8B\x02\x75\x7C\x87\xC0\x73\x40\x90\x52\xA2\xA8\xA4\x1E\x7F\x48\x7E\x04\x1F\x9A\x49\xA0\x99\x7B\x54\x0E\x18\x62\x1C\xAD\x3A\x24\xF0\xA5\x6D\x9B\x19\x22\x79\x29\x05\x7A\xB3\xBA\x95\x0F\x62\x74\xB1\x21\xF1\x93\xE3\x2E\x06\xE5\x38\x87\x81\xA1\xCB\x57\x31\x7C\x0B\xA6\x30\x5E\x91\x09\x61\xD0\x10\x02\xF0") - , ( 20 - , "\xD5\xC7\xF6\x79\x7B\x7E\x7E\x9C\x1D\x7F\xD2\x61\x0B\x2A\xBF\x2B\xC5\xA7\x88\x5F\xB3\xFF\x78\x09\x2F\xB3\xAB\xE8\x98\x6D\x35\xE2" - , "\x74\x4E\x17\x31\x2B\x27\x96\x9D\x82\x64\x44\x64\x0E\x9C\x4A\x37\x8A\xE3\x34\xF1\x85\x36\x9C\x95" - , "\x77\x58\x29\x8C\x62\x8E\xB3\xA4\xB6\x96\x3C\x54\x45\xEF\x66\x97\x12\x22\xBE\x5D\x1A\x4A\xD8\x39\x71\x5D\x11\x88\x07\x17\x39\xB7\x7C\xC6\xE0\x5D\x54\x10\xF9\x63\xA6\x41\x67\x62\x97\x57" - , "\x27\xB8\xCF\xE8\x14\x16\xA7\x63\x01\xFD\x1E\xEC\x6A\x4D\x99\x67\x50\x69\xB2\xDA\x27\x76\xC3\x60\xDB\x1B\xDF\xEA\x7C\x0A\xA6\x13\x91\x3E\x10\xF7\xA6\x0F\xEC\x04\xD1\x1E\x65\xF2\xD6\x4E") - , ( 20 - , "\x73\x7D\x78\x11\xCE\x96\x47\x2E\xFE\xD1\x22\x58\xB7\x81\x22\xF1\x1D\xEA\xEC\x87\x59\xCC\xBD\x71\xEA\xC6\xBB\xEF\xA6\x27\x78\x5C" - , "\x6F\xB2\xEE\x3D\xDA\x6D\xBD\x12\xF1\x27\x4F\x12\x67\x01\xEC\x75\xC3\x5C\x86\x60\x7A\xDB\x3E\xDD" - , "\x50\x13\x25\xFB\x26\x45\x26\x48\x64\xDF\x11\xFA\xA1\x7B\xBD\x58\x31\x2B\x77\xCA\xD3\xD9\x4A\xC8\xFB\x85\x42\xF0\xEB\x65\x3A\xD7\x3D\x7F\xCE\x93\x2B\xB8\x74\xCB\x89\xAC\x39\xFC\x47\xF8\x26\x7C\xF0\xF0\xC2\x09\xF2\x04\xB2\xD8\x57\x8A\x3B\xDF\x46\x1C\xB6\xA2\x71\xA4\x68\xBE\xBA\xCC\xD9\x68\x50\x14\xCC\xBC\x9A\x73\x61\x8C\x6A\x5E\x77\x8A\x21\xCC\x84\x16\xC6\x0A\xD2\x4D\xDC\x41\x7A\x13\x0D\x53\xED\xA6\xDF\xBF\xE4\x7D\x09\x17\x0A\x7B\xE1\xA7\x08\xB7\xB5\xF3\xAD\x46\x43\x10\xBE\x36\xD9\xA2\xA9\x5D\xC3\x9E\x83\xD3\x86\x67\xE8\x42\xEB\x64\x11\xE8\xA2\x37\x12\x29\x7B\x16\x5F\x69\x0C\x2D\x7C\xA1\xB1\x34\x6E\x3C\x1F\xCC\xF5\xCA\xFD\x4F\x8B\xE0" - , "\x67\x24\xC3\x72\xD2\xE9\x07\x4D\xA5\xE2\x7A\x6C\x54\xB2\xD7\x03\xDC\x1D\x4C\x9B\x1F\x8D\x90\xF0\x0C\x12\x2E\x69\x2A\xCE\x77\x00\xEA\xDC\xA9\x42\x54\x45\x07\xF1\x37\x5B\x65\x81\xD5\xA8\xFB\x39\x98\x1C\x1C\x0E\x6E\x1F\xF2\x14\x0B\x08\x2E\x9E\xC0\x16\xFC\xE1\x41\xD5\x19\x96\x47\xD4\x3B\x0B\x68\xBF\xD0\xFE\xA5\xE0\x0F\x46\x89\x62\xC7\x38\x4D\xD6\x12\x9A\xEA\x6A\x3F\xDF\xE7\x5A\xBB\x21\x0E\xD5\x60\x7C\xEF\x8F\xA0\xE1\x52\x83\x3D\x5A\xC3\x7D\x52\xE5\x57\xB9\x10\x98\xA3\x22\xE7\x6A\x45\xBB\xBC\xF4\x89\x9E\x79\x06\x18\xAA\x3F\x4C\x2E\x5E\x0F\xC3\xDE\x93\x26\x9A\x57\x7D\x77\xA5\x50\x2E\x8E\xA0\x2F\x71\x7B\x1D\xD2\xDF\x1E\xC6\x9D\x8B\x61\xCA") - , ( 20 - , "\x76\x01\x58\xDA\x09\xF8\x9B\xBA\xB2\xC9\x9E\x69\x97\xF9\x52\x3A\x95\xFC\xEF\x10\x23\x9B\xCC\xA2\x57\x3B\x71\x05\xF6\x89\x8D\x34" - , "\x43\x63\x6B\x2C\xC3\x46\xFC\x8B\x7C\x85\xA1\x9B\xF5\x07\xBD\xC3\xDA\xFE\x95\x3B\x88\xC6\x9D\xBA" - , "\xD3\x0A\x6D\x42\xDF\xF4\x9F\x0E\xD0\x39\xA3\x06\xBA\xE9\xDE\xC8\xD9\xE8\x83\x66\xCC\x19\xE8\xC3\x64\x2F\xD5\x8F\xA0\x79\x4E\xBF\x80\x29\xD9\x49\x73\x03\x39\xB0\x82\x3A\x51\xF0\xF4\x9F\x0D\x2C\x71\xF1\x05\x1C\x1E\x0E\x2C\x86\x94\x1F\x17\x27\x89\xCD\xB1\xB0\x10\x74\x13\xE7\x0F\x98\x2F\xF9\x76\x18\x77\xBB\x52\x6E\xF1\xC3\xEB\x11\x06\xA9\x48\xD6\x0E\xF2\x1B\xD3\x5D\x32\xCF\xD6\x4F\x89\xB7\x9E\xD6\x3E\xCC\x5C\xCA\x56\x24\x6A\xF7\x36\x76\x6F\x28\x5D\x8E\x6B\x0D\xA9\xCB\x1C\xD2\x10\x20\x22\x3F\xFA\xCC\x5A\x32" - , "\xC8\x15\xB6\xB7\x9B\x64\xF9\x36\x9A\xEC\x8D\xCE\x8C\x75\x3D\xF8\xA5\x0F\x2B\xC9\x7C\x70\xCE\x2F\x01\x4D\xB3\x3A\x65\xAC\x58\x16\xBA\xC9\xE3\x0A\xC0\x8B\xDD\xED\x30\x8C\x65\xCB\x87\xE2\x8E\x2E\x71\xB6\x77\xDC\x25\xC5\xA6\x49\x9C\x15\x53\x55\x5D\xAF\x1F\x55\x27\x0A\x56\x95\x9D\xFF\xA0\xC6\x6F\x24\xE0\xAF\x00\x95\x1E\xC4\xBB\x59\xCC\xC3\xA6\xC5\xF5\x2E\x09\x81\x64\x7E\x53\xE4\x39\x31\x3A\x52\xC4\x0F\xA7\x00\x4C\x85\x5B\x6E\x6E\xB2\x5B\x21\x2A\x13\x8E\x84\x3A\x9B\xA4\x6E\xDB\x2A\x03\x9E\xE8\x2A\x26\x3A\xBE") - , ( 20 - , "\x27\xBA\x7E\x81\xE7\xED\xD4\xE7\x1B\xE5\x3C\x07\xCE\x8E\x63\x31\x38\xF2\x87\xE1\x55\xC7\xFA\x9E\x84\xC4\xAD\x80\x4B\x7F\xA1\xB9" - , "\xEA\x05\xF4\xEB\xCD\x2F\xB6\xB0\x00\xDA\x06\x12\x86\x1B\xA5\x4F\xF5\xC1\x76\xFB\x60\x13\x91\xAA" - , "\xE0\x9F\xF5\xD2\xCB\x05\x0D\x69\xB2\xD4\x24\x94\xBD\xE5\x82\x52\x38\xC7\x56\xD6\x99\x1D\x99\xD7\xA2\x0D\x1E\xF0\xB8\x3C\x37\x1C\x89\x87\x26\x90\xB2\xFC\x11\xD5\x36\x9F\x4F\xC4\x97\x1B\x6D\x3D\x6C\x07\x8A\xEF\x9B\x0F\x05\xC0\xE6\x1A\xB8\x9C\x02\x51\x68\x05\x4D\xEF\xEB\x03\xFE\xF6\x33\x85\x87\x00\xC5\x8B\x12\x62\xCE\x01\x13\x00\x01\x26\x73\xE8\x93\xE4\x49\x01\xDC\x18\xEE\xE3\x10\x56\x99\xC4\x4C\x80\x58\x97\xBD\xAF\x77\x6A\xF1\x83\x31\x62\xA2\x1A" - , "\xA2\x3E\x7E\xF9\x3C\x5D\x06\x67\xC9\x6D\x9E\x40\x4D\xCB\xE6\xBE\x62\x02\x6F\xA9\x8F\x7A\x3F\xF9\xBA\x5D\x45\x86\x43\xA1\x6A\x1C\xEF\x72\x72\xDC\x60\x97\xA9\xB5\x2F\x35\x98\x35\x57\xC7\x7A\x11\xB3\x14\xB4\xF7\xD5\xDC\x2C\xCA\x15\xEE\x47\x61\x6F\x86\x18\x73\xCB\xFE\xD1\xD3\x23\x72\x17\x1A\x61\xE3\x8E\x44\x7F\x3C\xF3\x62\xB3\xAB\xBB\x2E\xD4\x17\x0D\x89\xDC\xB2\x81\x87\xB7\xBF\xD2\x06\xA3\xE0\x26\xF0\x84\xA7\xE0\xED\x63\xD3\x19\xDE\x6B\xC9\xAF\xC0") - , ( 20 - , "\x67\x99\xD7\x6E\x5F\xFB\x5B\x49\x20\xBC\x27\x68\xBA\xFD\x3F\x8C\x16\x55\x4E\x65\xEF\xCF\x9A\x16\xF4\x68\x3A\x7A\x06\x92\x7C\x11" - , "\x61\xAB\x95\x19\x21\xE5\x4F\xF0\x6D\x9B\x77\xF3\x13\xA4\xE4\x9D\xF7\xA0\x57\xD5\xFD\x62\x79\x89" - , "\x47\x27\x66" - , "\x8F\xD7\xDF") - , ( 20 - , "\xF6\x82\x38\xC0\x83\x65\xBB\x29\x3D\x26\x98\x0A\x60\x64\x88\xD0\x9C\x2F\x10\x9E\xDA\xFA\x0B\xBA\xE9\x93\x7B\x5C\xC2\x19\xA4\x9C" - , "\x51\x90\xB5\x1E\x9B\x70\x86\x24\x82\x0B\x5A\xBD\xF4\xE4\x0F\xAD\x1F\xB9\x50\xAD\x1A\xDC\x2D\x26" - , "\x47\xEC\x6B\x1F\x73\xC4\xB7\xFF\x52\x74\xA0\xBF\xD7\xF4\x5F\x86\x48\x12\xC8\x5A\x12\xFB\xCB\x3C\x2C\xF8\xA3\xE9\x0C\xF6\x6C\xCF\x2E\xAC\xB5\x21\xE7\x48\x36\x3C\x77\xF5\x2E\xB4\x26\xAE\x57\xA0\xC6\xC7\x8F\x75\xAF\x71\x28\x45\x69\xE7\x9D\x1A\x92\xF9\x49\xA9\xD6\x9C\x4E\xFC\x0B\x69\x90\x2F\x1E\x36\xD7\x56\x27\x65\x54\x3E\x2D\x39\x42\xD9\xF6\xFF\x59\x48\xD8\xA3\x12\xCF\xF7\x2C\x1A\xFD\x9E\xA3\x08\x8A\xFF\x76\x40\xBF\xD2\x65\xF7\xA9\x94\x6E\x60\x6A\xBC\x77\xBC\xED\xAE\x6B\xDD\xC7\x5A\x0D\xBA\x0B\xD9\x17\xD7\x3E\x3B\xD1\x26\x8F\x72\x7E\x00\x96\x34\x5D\xA1\xED\x25\xCF\x55\x3E\xA7\xA9\x8F\xEA\x6B\x6F\x28\x57\x32\xDE\x37\x43\x15\x61\xEE\x1B\x30\x64\x88\x7F\xBC\xBD\x71\x93\x5E\x02" - 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, "\xEA\x0F\x35\x4E\x96\xF1\x2B\xC7\x2B\xBA\xA3\xD1\x2B\x4A\x8E\xD8\x79\xB0\x42\xF0\x68\x98\x78\xF4\x6B\x65\x1C\xC4\x11\x6D\x6F\x78\x40\x9B\x11\x43\x0B\x3A\xAA\x30\xB2\x07\x68\x91\xE8\xE1\xFA\x52\x8F\x2F\xD1\x69\xED\x93\xDC\x9F\x84\xE2\x44\x09\xEE\xC2\x10\x1D\xAF\x4D\x05\x7B\xE2\x49\x2D\x11\xDE\x64\x0C\xBD\x7B\x35\x5A\xD2\x9F\xB7\x04\x00\xFF\xFD\x7C\xD6\xD4\x25\xAB\xEE\xB7\x32\xA0\xEA\xA4\x33\x0A\xF4\xC6\x56\x25\x2C\x41\x73\xDE\xAB\x65\x3E\xB8\x5C\x58\x46\x2D\x7A\xB0\xF3\x5F\xD1\x2B\x61\x3D\x29\xD4\x73\xD3\x30\x31\x0D\xC3\x23\xD3\xC6\x63\x48\xBB\xDB\xB6\x8A\x32\x63\x24\x65\x7C\xAE\x7B\x77\xA9\xE3\x43\x58\xF2\xCE\xC5\x0C\x85\x60\x9E\x73\x05\x68\x56\x79\x6E\x3B\xE8\xD6\x2B\x6E\x2F\xE9\xF9\x53" - , "\xE8\xAB\xD4\x89\x24\xB5\x4E\x5B\x80\x86\x6B\xE7\xD4\xEB\xE5\xCF\x42\x74\xCA\xFF\xF0\x8B\x39\xCB\x2D\x40\xA8\xF0\xB4\x72\x39\x8A\xED\xC7\x76\xE0\x79\x38\x12\xFB\xF1\xF6\x00\x78\x63\x5D\x2E\xD8\x6B\x15\xEF\xCD\xBA\x60\x41\x1E\xE2\x3B\x07\x23\x35\x92\xA4\x4E\xC3\x1B\x10\x13\xCE\x89\x64\x23\x66\x75\xF8\xF1\x83\xAE\xF8\x85\xE8\x64\xF2\xA7\x2E\xDF\x42\x15\xB5\x33\x8F\xA2\xB5\x46\x53\xDF\xA1\xA8\xC5\x5C\xE5\xD9\x5C\xC6\x05\xB9\xB3\x11\x52\x7F\x2E\x34\x63\xFF\xBE\xC7\x8A\x9D\x1D\x65\xDA\xBA\xD2\xF3\x38\x76\x9C\x9F\x43\xF1\x33\xA7\x91\xA1\x1C\x7E\xCA\x9A\xF0\xB7\x71\xA4\xAC\x32\x96\x3D\xC8\xF6\x31\xA2\xC1\x12\x17\xAC\x6E\x1B\x94\x30\xC1\xAA\xE1\xCE\xEB\xE2\x27\x03\xF4\x29\x99\x8A\x8F\xB8\xC6\x41") - , ( 20 - , "\x08\x2C\x53\x9B\xC5\xB2\x0F\x97\xD7\x67\xCD\x3F\x22\x9E\xDA\x80\xB2\xAD\xC4\xFE\x49\xC8\x63\x29\xB5\xCD\x62\x50\xA9\x87\x74\x50" - , "\x84\x55\x43\x50\x2E\x8B\x64\x91\x2D\x8F\x2C\x8D\x9F\xFF\xB3\xC6\x93\x65\x68\x65\x87\xC0\x8D\x0C" - , "\xA9\x6B\xB7\xE9\x10\x28\x1A\x6D\xFA\xD7\xC8\xA9\xC3\x70\x67\x4F\x0C\xEE\xC1\xAD\x8D\x4F\x0D\xE3\x2F\x9A\xE4\xA2\x3E\xD3\x29\xE3\xD6\xBC\x70\x8F\x87\x66\x40\xA2\x29\x15\x3A\xC0\xE7\x28\x1A\x81\x88\xDD\x77\x69\x51\x38\xF0\x1C\xDA\x5F\x41\xD5\x21\x5F\xD5\xC6\xBD\xD4\x6D\x98\x2C\xB7\x3B\x1E\xFE\x29\x97\x97\x0A\x9F\xDB\xDB\x1E\x76\x8D\x7E\x5D\xB7\x12\x06\x8D\x8B\xA1\xAF\x60\x67\xB5\x75\x34\x95\xE2\x3E\x6E\x19\x63\xAF\x01\x2F\x9C\x7C\xE4\x50\xBF\x2D\xE6\x19\xD3\xD5\x95\x42\xFB\x55\xF3" - , "\x83\x5D\xA7\x4F\xC6\xDE\x08\xCB\xDA\x27\x7A\x79\x66\xA0\x7C\x8D\xCD\x62\x7E\x7B\x17\xAD\xDE\x6D\x93\x0B\x65\x81\xE3\x12\x4B\x8B\xAA\xD0\x96\xF6\x93\x99\x1F\xED\xB1\x57\x29\x30\x60\x1F\xC7\x70\x95\x41\x83\x9B\x8E\x3F\xFD\x5F\x03\x3D\x20\x60\xD9\x99\xC6\xC6\xE3\x04\x82\x76\x61\x3E\x64\x80\x00\xAC\xB5\x21\x2C\xC6\x32\xA9\x16\xAF\xCE\x29\x0E\x20\xEB\xDF\x61\x2D\x08\xA6\xAA\x4C\x79\xA7\x4B\x07\x0D\x3F\x87\x2A\x86\x1F\x8D\xC6\xBB\x07\x61\x4D\xB5\x15\xD3\x63\x34\x9D\x3A\x8E\x33\x36\xA3") - , ( 20 - , "\x3D\x02\xBF\xF3\x37\x5D\x40\x30\x27\x35\x6B\x94\xF5\x14\x20\x37\x37\xEE\x9A\x85\xD2\x05\x2D\xB3\xE4\xE5\xA2\x17\xC2\x59\xD1\x8A" - , "\x74\x21\x6C\x95\x03\x18\x95\xF4\x8C\x1D\xBA\x65\x15\x55\xEB\xFA\x3C\xA3\x26\xA7\x55\x23\x70\x25" - , "\x0D\x4B\x0F\x54\xFD\x09\xAE\x39\xBA\xA5\xFA\x4B\xAC\xCF\x2E\x66\x82\xE6\x1B\x25\x7E\x01\xF4\x2B\x8F" - , "\x16\xC4\x00\x6C\x28\x36\x51\x90\x41\x1E\xB1\x59\x38\x14\xCF\x15\xE7\x4C\x22\x23\x8F\x21\x0A\xFC\x3D") - , ( 20 - , "\xAD\x1A\x5C\x47\x68\x88\x74\xE6\x66\x3A\x0F\x3F\xA1\x6F\xA7\xEF\xB7\xEC\xAD\xC1\x75\xC4\x68\xE5\x43\x29\x14\xBD\xB4\x80\xFF\xC6" - , "\xE4\x89\xEE\xD4\x40\xF1\xAA\xE1\xFA\xC8\xFB\x7A\x98\x25\x63\x54\x54\xF8\xF8\xF1\xF5\x2E\x2F\xCC" - , "\xAA\x6C\x1E\x53\x58\x0F\x03\xA9\xAB\xB7\x3B\xFD\xAD\xED\xFE\xCA\xDA\x4C\x6B\x0E\xBE\x02\x0E\xF1\x0D\xB7\x45\xE5\x4B\xA8\x61\xCA\xF6\x5F\x0E\x40\xDF\xC5\x20\x20\x3B\xB5\x4D\x29\xE0\xA8\xF7\x8F\x16\xB3\xF1\xAA\x52\x5D\x6B\xFA\x33\xC5\x47\x26\xE5\x99\x88\xCF\xBE\xC7\x80\x56" - , "\x02\xFE\x84\xCE\x81\xE1\x78\xE7\xAA\xBD\xD3\xBA\x92\x5A\x76\x6C\x3C\x24\x75\x6E\xEF\xAE\x33\x94\x2A\xF7\x5E\x8B\x46\x45\x56\xB5\x99\x7E\x61\x6F\x3F\x2D\xFC\x7F\xCE\x91\x84\x8A\xFD\x79\x91\x2D\x9F\xB5\x52\x01\xB5\x81\x3A\x5A\x07\x4D\x2C\x0D\x42\x92\xC1\xFD\x44\x18\x07\xC5") - , ( 20 - , "\x05\x3A\x02\xBE\xDD\x63\x68\xC1\xFB\x8A\xFC\x7A\x1B\x19\x9F\x7F\x7E\xA2\x22\x0C\x9A\x4B\x64\x2A\x68\x50\x09\x1C\x9D\x20\xAB\x9C" - , "\xC7\x13\xEE\xA5\xC2\x6D\xAD\x75\xAD\x3F\x52\x45\x1E\x00\x3A\x9C\xB0\xD6\x49\xF9\x17\xC8\x9D\xDE" - , "\x8F\x0A\x8A\x16\x47\x60\x42\x65\x67\xE3\x88\x84\x02\x76\xDE\x3F\x95\xCB\x5E\x3F\xAD\xC6\xED\x3F\x3E\x4F\xE8\xBC\x16\x9D\x93\x88\x80\x4D\xCB\x94\xB6\x58\x7D\xBB\x66\xCB\x0B\xD5\xF8\x7B\x8E\x98\xB5\x2A\xF3\x7B\xA2\x90\x62\x9B\x85\x8E\x0E\x2A\xA7\x37\x80\x47\xA2\x66\x02" - , "\x51\x67\x10\xE5\x98\x43\xE6\xFB\xD4\xF2\x5D\x0D\x8C\xA0\xEC\x0D\x47\xD3\x9D\x12\x5E\x9D\xAD\x98\x7E\x05\x18\xD4\x91\x07\x01\x4C\xB0\xAE\x40\x5E\x30\xC2\xEB\x37\x94\x75\x0B\xCA\x14\x2C\xE9\x5E\x29\x0C\xF9\x5A\xBE\x15\xE8\x22\x82\x3E\x2E\x7D\x3A\xB2\x1B\xC8\xFB\xD4\x45") - , ( 20 - ,"\x5B\x14\xAB\x0F\xBE\xD4\xC5\x89\x52\x54\x8A\x6C\xB1\xE0\x00\x0C\xF4\x48\x14\x21\xF4\x12\x88\xEA\x0A\xA8\x4A\xDD\x9F\x7D\xEB\x96" - , "\x54\xBF\x52\xB9\x11\x23\x1B\x95\x2B\xA1\xA6\xAF\x8E\x45\xB1\xC5\xA2\x9D\x97\xE2\xAB\xAD\x7C\x83" - , "\x37\xFB\x44\xA6\x75\x97\x8B\x56\x0F\xF9\xA4\xA8\x70\x11\xD6\xF3\xAD\x2D\x37\xA2\xC3\x81\x5B\x45\xA3\xC0\xE6\xD1\xB1\xD8\xB1\x78\x4C\xD4\x68\x92\x7C\x2E\xE3\x9E\x1D\xCC\xD4\x76\x5E\x1C\x3D\x67\x6A\x33\x5B\xE1\xCC\xD6\x90\x0A\x45\xF5\xD4\x1A\x31\x76\x48\x31\x5D\x8A\x8C\x24\xAD\xC6\x4E\xB2\x85\xF6\xAE\xBA\x05\xB9\x02\x95\x86\x35\x3D\x30\x3F\x17\xA8\x07\x65\x8B\x9F\xF7\x90\x47\x4E\x17\x37\xBD\x5F\xDC\x60\x4A\xEF\xF8\xDF\xCA\xF1\x42\x7D\xCC\x3A\xAC\xBB\x02\x56\xBA\xDC\xD1\x83\xED\x75\xA2\xDC\x52\x45\x2F\x87\xD3\xC1\xED\x2A\xA5\x83\x47\x2B\x0A\xB9\x1C\xDA\x20\x61\x4E\x9B\x6F\xDB\xDA\x3B\x49\xB0\x98\xC9\x58\x23\xCC\x72\xD8\xE5\xB7\x17\xF2\x31\x4B\x03\x24\xE9\xCE" - , "\xAE\x6D\xEB\x5D\x6C\xE4\x3D\x4B\x09\xD0\xE6\xB1\xC0\xE9\xF4\x61\x57\xBC\xD8\xAB\x50\xEA\xA3\x19\x7F\xF9\xFA\x2B\xF7\xAF\x64\x9E\xB5\x2C\x68\x54\x4F\xD3\xAD\xFE\x6B\x1E\xB3\x16\xF1\xF2\x35\x38\xD4\x70\xC3\x0D\xBF\xEC\x7E\x57\xB6\x0C\xBC\xD0\x96\xC7\x82\xE7\x73\x6B\x66\x91\x99\xC8\x25\x3E\x70\x21\x4C\xF2\xA0\x98\xFD\xA8\xEA\xC5\xDA\x79\xA9\x49\x6A\x3A\xAE\x75\x4D\x03\xB1\x7C\x6D\x70\xD1\x02\x7F\x42\xBF\x7F\x95\xCE\x3D\x1D\x9C\x33\x88\x54\xE1\x58\xFC\xC8\x03\xE4\xD6\x26\x2F\xB6\x39\x52\x1E\x47\x11\x6E\xF7\x8A\x7A\x43\x7C\xA9\x42\x7B\xA6\x45\xCD\x64\x68\x32\xFE\xAB\x82\x2A\x20\x82\x78\xE4\x5E\x93\xE1\x18\xD7\x80\xB9\x88\xD6\x53\x97\xED\xDF\xD7\xA8\x19\x52\x6E") - , ( 20 - , "\xD7\x46\x36\xE3\x41\x3A\x88\xD8\x5F\x32\x2C\xA8\x0F\xB0\xBD\x65\x0B\xD0\xBF\x01\x34\xE2\x32\x91\x60\xB6\x96\x09\xCD\x58\xA4\xB0" - , "\xEF\xB6\x06\xAA\x1D\x9D\x9F\x0F\x46\x5E\xAA\x7F\x81\x65\xF1\xAC\x09\xF5\xCB\x46\xFE\xCF\x2A\x57" - , "\xF8\x54\x71\xB7\x5F\x6E\xC8\x1A\xBA\xC2\x79\x9E\xC0\x9E\x98\xE2\x80\xB2\xFF\xD6\x4C\xA2\x85\xE5\xA0\x10\x9C\xFB\x31\xFF\xAB\x2D\x61\x7B\x2C\x29\x52\xA2\xA8\xA7\x88\xFC\x0D\xA2\xAF\x7F\x53\x07\x58\xF7\x4F\x1A\xB5\x63\x91\xAB\x5F\xF2\xAD\xBC\xC5\xBE\x2D\x6C\x7F\x49\xFB\xE8\x11\x81\x04\xC6\xFF\x9A\x23\xC6\xDF\xE5\x2F\x57\x95\x4E\x6A\x69\xDC\xEE\x5D\xB0\x6F\x51\x4F\x4A\x0A\x57\x2A\x9A\x85\x25\xD9\x61\xDA\xE7\x22\x69\xB9\x87\x18\x9D\x46\x5D\xF6\x10\x71\x19\xC7\xFA\x79\x08\x53\xE0\x63\xCB\xA0\xFA\xB7\x80\x0C\xA9\x32\xE2\x58\x88\x0F\xD7\x4C\x33\xC7\x84\x67\x5B\xED\xAD\x0E\x7C\x09\xE9\xCC\x4D\x63\xDD\x5E\x97\x13\xD5\xD4\xA0\x19\x6E\x6B\x56\x22\x26\xAC\x31\xB4\xF5\x7C\x04\xF9\x0A\x18\x19\x73\x73\x7D\xDC\x7E\x80\xF3\x64\x11\x2A\x9F\xBB\x43\x5E\xBD\xBC\xAB\xF7\xD4\x90\xCE\x52" - , "\xB2\xB7\x95\xFE\x6C\x1D\x4C\x83\xC1\x32\x7E\x01\x5A\x67\xD4\x46\x5F\xD8\xE3\x28\x13\x57\x5C\xBA\xB2\x63\xE2\x0E\xF0\x58\x64\xD2\xDC\x17\xE0\xE4\xEB\x81\x43\x6A\xDF\xE9\xF6\x38\xDC\xC1\xC8\xD7\x8F\x6B\x03\x06\xBA\xF9\x38\xE5\xD2\xAB\x0B\x3E\x05\xE7\x35\xCC\x6F\xFF\x2D\x6E\x02\xE3\xD6\x04\x84\xBE\xA7\xC7\xA8\xE1\x3E\x23\x19\x7F\xEA\x7B\x04\xD4\x7D\x48\xF4\xA4\xE5\x94\x41\x74\x53\x94\x92\x80\x0D\x3E\xF5\x1E\x2E\xE5\xE4\xC8\xA0\xBD\xF0\x50\xC2\xDD\x3D\xD7\x4F\xCE\x5E\x7E\x5C\x37\x36\x4F\x75\x47\xA1\x14\x80\xA3\x06\x3B\x9A\x0A\x15\x7B\x15\xB1\x0A\x5A\x95\x4D\xE2\x73\x1C\xED\x05\x5A\xA2\xE2\x76\x7F\x08\x91\xD4\x32\x9C\x42\x6F\x38\x08\xEE\x86\x7B\xED\x0D\xC7\x5B\x59\x22\xB7\xCF\xB8\x95\x70\x0F\xDA\x01\x61\x05\xA4\xC7\xB7\xF0\xBB\x90\xF0\x29\xF6\xBB\xCB\x04\xAC\x36\xAC\x16") - ] - --- Test vector from paper "Cryptography in NaCl" -vectorsCB :: [Vector] -vectorsCB = - [ ( 20 - , "\x4A\x5D\x9D\x5B\xA4\xCE\x2D\xE1\x72\x8E\x3B\xF4\x80\x35\x0F\x25\xE0\x7E\x21\xC9\x47\xD1\x9E\x33\x76\xF0\x9B\x3C\x1E\x16\x17\x42" - , "\x69\x69\x6E\xE9\x55\xB6\x2B\x73\xCD\x62\xBD\xA8\x75\xFC\x73\xD6\x82\x19\xE0\x03\x6B\x7A\x0B\x37" - , "\xBE\x07\x5F\xC5\x3C\x81\xF2\xD5\xCF\x14\x13\x16\xEB\xEB\x0C\x7B\x52\x28\xC5\x2A\x4C\x62\xCB\xD4\x4B\x66\x84\x9B\x64\x24\x4F\xFC\xE5\xEC\xBA\xAF\x33\xBD\x75\x1A\x1A\xC7\x28\xD4\x5E\x6C\x61\x29\x6C\xDC\x3C\x01\x23\x35\x61\xF4\x1D\xB6\x6C\xCE\x31\x4A\xDB\x31\x0E\x3B\xE8\x25\x0C\x46\xF0\x6D\xCE\xEA\x3A\x7F\xA1\x34\x80\x57\xE2\xF6\x55\x6A\xD6\xB1\x31\x8A\x02\x4A\x83\x8F\x21\xAF\x1F\xDE\x04\x89\x77\xEB\x48\xF5\x9F\xFD\x49\x24\xCA\x1C\x60\x90\x2E\x52\xF0\xA0\x89\xBC\x76\x89\x70\x40\xE0\x82\xF9\x37\x76\x38\x48\x64\x5E\x07\x05" - , "\x8E\x99\x3B\x9F\x48\x68\x12\x73\xC2\x96\x50\xBA\x32\xFC\x76\xCE\x48\x33\x2E\xA7\x16\x4D\x96\xA4\x47\x6F\xB8\xC5\x31\xA1\x18\x6A\xC0\xDF\xC1\x7C\x98\xDC\xE8\x7B\x4D\xA7\xF0\x11\xEC\x48\xC9\x72\x71\xD2\xC2\x0F\x9B\x92\x8F\xE2\x27\x0D\x6F\xB8\x63\xD5\x17\x38\xB4\x8E\xEE\xE3\x14\xA7\xCC\x8A\xB9\x32\x16\x45\x48\xE5\x26\xAE\x90\x22\x43\x68\x51\x7A\xCF\xEA\xBD\x6B\xB3\x73\x2B\xC0\xE9\xDA\x99\x83\x2B\x61\xCA\x01\xB6\xDE\x56\x24\x4A\x9E\x88\xD5\xF9\xB3\x79\x73\xF6\x22\xA4\x3D\x14\xA6\x59\x9B\x1F\x65\x4C\xB4\x5A\x74\xE3\x55\xA5") - ] - -tests = testGroup "XSalsa" - [ testGroup "KAT" $ - zipWith (\i (r, k, n, p, e) -> testCase (show (i :: Int)) $ salsaRunSimple r k n p e) [1..] vectors - , testGroup "crypto_box encryption" $ - zipWith (\i (r, k, n, p, e) -> testCase (show (i :: Int)) $ cryptoBoxEnc r k n p e) [1..] vectorsCB - ] - where - salsaRunSimple rounds key nonce plain expected = - let salsa = XSalsa.initialize rounds key nonce - in fst (XSalsa.combine salsa plain) @?= expected - - cryptoBoxEnc rounds shared nonce plain expected = - let zero = B.replicate 16 0 - (iv0, iv1) = B.splitAt 8 nonce - salsa0 = XSalsa.initialize rounds shared (zero `B.append` iv0) - salsa1 = XSalsa.derive salsa0 iv1 - (_, salsa2) = XSalsa.generate salsa1 32 :: (B.ByteString, XSalsa.State) - in fst (XSalsa.combine salsa2 plain) @?= expected